Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [552,2,Mod(13,552)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(552, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 11, 0, 14]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("552.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 552 = 2^{3} \cdot 3 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 552.bb (of order \(22\), degree \(10\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.40774219157\) |
Analytic rank: | \(0\) |
Dimension: | \(480\) |
Relative dimension: | \(48\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 85.21 | ||
Character | \(\chi\) | \(=\) | 552.85 |
Dual form | 552.2.bb.a.13.21 |
$q$-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 \(\left(\mathbb{Z}/552\mathbb{Z}\right)^\times\).
\(n\) | \(97\) | \(185\) | \(277\) | \(415\) |
\(\chi(n)\) | \(e\left(\frac{4}{11}\right)\) | \(1\) | \(-1\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.343727 | − | 1.37181i | −0.243052 | − | 0.970013i | ||||
\(3\) | 0.540641 | + | 0.841254i | 0.312139 | + | 0.485698i | ||||
\(4\) | −1.76370 | + | 0.943055i | −0.881851 | + | 0.471527i | ||||
\(5\) | 2.78039 | − | 1.26976i | 1.24343 | − | 0.567854i | 0.318473 | − | 0.947932i | \(-0.396830\pi\) |
0.924955 | + | 0.380078i | \(0.124103\pi\) | |||||||
\(6\) | 0.968204 | − | 1.03082i | 0.395267 | − | 0.420829i | ||||
\(7\) | −4.12553 | + | 1.21136i | −1.55930 | + | 0.457853i | −0.943865 | − | 0.330332i | \(-0.892839\pi\) |
−0.615439 | + | 0.788185i | \(0.711021\pi\) | |||||||
\(8\) | 1.89992 | + | 2.09530i | 0.671723 | + | 0.740802i | ||||
\(9\) | −0.415415 | + | 0.909632i | −0.138472 | + | 0.303211i | ||||
\(10\) | −2.69756 | − | 3.37770i | −0.853044 | − | 1.06812i | ||||
\(11\) | 3.36238 | − | 2.91352i | 1.01380 | − | 0.878459i | 0.0211817 | − | 0.999776i | \(-0.493257\pi\) |
0.992614 | + | 0.121317i | \(0.0387117\pi\) | |||||||
\(12\) | −1.74688 | − | 0.973868i | −0.504280 | − | 0.281131i | ||||
\(13\) | 0.440349 | − | 1.49969i | 0.122131 | − | 0.415939i | −0.875618 | − | 0.483005i | \(-0.839545\pi\) |
0.997749 | + | 0.0670653i | \(0.0213636\pi\) | |||||||
\(14\) | 3.07982 | + | 5.24305i | 0.823115 | + | 1.40126i | ||||
\(15\) | 2.57138 | + | 1.65253i | 0.663928 | + | 0.426681i | ||||
\(16\) | 2.22130 | − | 3.32654i | 0.555324 | − | 0.831634i | ||||
\(17\) | 0.964453 | − | 6.70792i | 0.233914 | − | 1.62691i | −0.446992 | − | 0.894538i | \(-0.647505\pi\) |
0.680906 | − | 0.732371i | \(-0.261586\pi\) | |||||||
\(18\) | 1.39063 | + | 0.257203i | 0.327774 | + | 0.0606234i | ||||
\(19\) | 4.18142 | − | 0.601198i | 0.959285 | − | 0.137924i | 0.355152 | − | 0.934808i | \(-0.384429\pi\) |
0.604132 | + | 0.796884i | \(0.293520\pi\) | |||||||
\(20\) | −3.70633 | + | 4.86154i | −0.828760 | + | 1.08707i | ||||
\(21\) | −3.24949 | − | 2.81570i | −0.709098 | − | 0.614437i | ||||
\(22\) | −5.15252 | − | 3.61108i | −1.09852 | − | 0.769884i | ||||
\(23\) | 2.72085 | + | 3.94930i | 0.567336 | + | 0.823487i | ||||
\(24\) | −0.735508 | + | 2.73112i | −0.150135 | + | 0.557488i | ||||
\(25\) | 2.84396 | − | 3.28211i | 0.568793 | − | 0.656422i | ||||
\(26\) | −2.20864 | − | 0.0885885i | −0.433151 | − | 0.0173736i | ||||
\(27\) | −0.989821 | + | 0.142315i | −0.190491 | + | 0.0273885i | ||||
\(28\) | 6.13383 | − | 6.02709i | 1.15918 | − | 1.13901i | ||||
\(29\) | 7.62242 | + | 1.09594i | 1.41545 | + | 0.203511i | 0.807220 | − | 0.590251i | \(-0.200971\pi\) |
0.608228 | + | 0.793762i | \(0.291880\pi\) | |||||||
\(30\) | 1.38309 | − | 4.09546i | 0.252517 | − | 0.747725i | ||||
\(31\) | 8.16515 | + | 5.24742i | 1.46650 | + | 0.942465i | 0.998266 | + | 0.0588620i | \(0.0187472\pi\) |
0.468237 | + | 0.883603i | \(0.344889\pi\) | |||||||
\(32\) | −5.32688 | − | 1.90377i | −0.941669 | − | 0.336541i | ||||
\(33\) | 4.26885 | + | 1.25345i | 0.743111 | + | 0.218197i | ||||
\(34\) | −9.53347 | + | 0.982653i | −1.63498 | + | 0.168524i | ||||
\(35\) | −9.93243 | + | 8.60650i | −1.67889 | + | 1.45476i | ||||
\(36\) | −0.125164 | − | 1.99608i | −0.0208607 | − | 0.332680i | ||||
\(37\) | −4.59502 | − | 2.09847i | −0.755416 | − | 0.344987i | 0.000201366 | − | 1.00000i | \(-0.499936\pi\) |
−0.755618 | + | 0.655013i | \(0.772663\pi\) | |||||||
\(38\) | −2.26200 | − | 5.52945i | −0.366944 | − | 0.896996i | ||||
\(39\) | 1.49969 | − | 0.440349i | 0.240143 | − | 0.0705123i | ||||
\(40\) | 7.94305 | + | 3.41332i | 1.25591 | + | 0.539693i | ||||
\(41\) | −2.05092 | − | 4.49090i | −0.320300 | − | 0.701360i | 0.679167 | − | 0.733984i | \(-0.262341\pi\) |
−0.999468 | + | 0.0326234i | \(0.989614\pi\) | |||||||
\(42\) | −2.74566 | + | 5.42551i | −0.423664 | + | 0.837174i | ||||
\(43\) | −1.34645 | − | 2.09512i | −0.205332 | − | 0.319502i | 0.723280 | − | 0.690555i | \(-0.242633\pi\) |
−0.928612 | + | 0.371052i | \(0.878997\pi\) | |||||||
\(44\) | −3.18263 | + | 8.30949i | −0.479800 | + | 1.25270i | ||||
\(45\) | 3.05661i | 0.455652i | ||||||||
\(46\) | 4.48245 | − | 5.08996i | 0.660901 | − | 0.750473i | ||||
\(47\) | −8.03618 | −1.17220 | −0.586099 | − | 0.810239i | \(-0.699337\pi\) | ||||
−0.586099 | + | 0.810239i | \(0.699337\pi\) | |||||||
\(48\) | 3.99938 | + | 0.0702120i | 0.577261 | + | 0.0101342i | ||||
\(49\) | 9.66382 | − | 6.21056i | 1.38055 | − | 0.887223i | ||||
\(50\) | −5.47997 | − | 2.77322i | −0.774984 | − | 0.392192i | ||||
\(51\) | 6.16448 | − | 2.81523i | 0.863200 | − | 0.394210i | ||||
\(52\) | 0.637645 | + | 3.06028i | 0.0884255 | + | 0.424385i | ||||
\(53\) | −0.448944 | − | 1.52896i | −0.0616672 | − | 0.210019i | 0.922896 | − | 0.385050i | \(-0.125816\pi\) |
−0.984563 | + | 0.175031i | \(0.943998\pi\) | |||||||
\(54\) | 0.535457 | + | 1.30893i | 0.0728665 | + | 0.178122i | ||||
\(55\) | 5.64925 | − | 12.3701i | 0.761745 | − | 1.66799i | ||||
\(56\) | −10.3764 | − | 6.34274i | −1.38660 | − | 0.847585i | ||||
\(57\) | 2.76641 | + | 3.19261i | 0.366420 | + | 0.422871i | ||||
\(58\) | −1.11662 | − | 10.8332i | −0.146619 | − | 1.42247i | ||||
\(59\) | −0.0120042 | + | 0.0408824i | −0.00156281 | + | 0.00532243i | −0.960271 | − | 0.279070i | \(-0.909974\pi\) |
0.958708 | + | 0.284393i | \(0.0917919\pi\) | |||||||
\(60\) | −6.09358 | − | 0.489613i | −0.786678 | − | 0.0632088i | ||||
\(61\) | −2.01125 | + | 3.12957i | −0.257514 | + | 0.400700i | −0.945805 | − | 0.324735i | \(-0.894725\pi\) |
0.688291 | + | 0.725435i | \(0.258361\pi\) | |||||||
\(62\) | 4.39186 | − | 13.0047i | 0.557767 | − | 1.65160i | ||||
\(63\) | 0.611911 | − | 4.25593i | 0.0770935 | − | 0.536197i | ||||
\(64\) | −0.780601 | + | 7.96183i | −0.0975752 | + | 0.995228i | ||||
\(65\) | −0.679908 | − | 4.72886i | −0.0843322 | − | 0.586543i | ||||
\(66\) | 0.252166 | − | 6.28687i | 0.0310395 | − | 0.773861i | ||||
\(67\) | −1.84394 | − | 1.59778i | −0.225273 | − | 0.195200i | 0.534910 | − | 0.844909i | \(-0.320345\pi\) |
−0.760183 | + | 0.649709i | \(0.774891\pi\) | |||||||
\(68\) | 4.62492 | + | 12.7403i | 0.560854 | + | 1.54499i | ||||
\(69\) | −1.85136 | + | 4.42408i | −0.222878 | + | 0.532596i | ||||
\(70\) | 15.2205 | + | 10.6671i | 1.81920 | + | 1.27496i | ||||
\(71\) | −8.16377 | + | 9.42149i | −0.968861 | + | 1.11813i | 0.0241030 | + | 0.999709i | \(0.492327\pi\) |
−0.992964 | + | 0.118416i | \(0.962218\pi\) | |||||||
\(72\) | −2.69521 | + | 0.857808i | −0.317634 | + | 0.101094i | ||||
\(73\) | 0.866274 | + | 6.02507i | 0.101390 | + | 0.705181i | 0.975588 | + | 0.219611i | \(0.0704788\pi\) |
−0.874198 | + | 0.485570i | \(0.838612\pi\) | |||||||
\(74\) | −1.29927 | + | 7.02478i | −0.151037 | + | 0.816614i | ||||
\(75\) | 4.29865 | + | 0.618053i | 0.496365 | + | 0.0713666i | ||||
\(76\) | −6.80783 | + | 5.00365i | −0.780911 | + | 0.573958i | ||||
\(77\) | −10.3423 | + | 16.0929i | −1.17861 | + | 1.83395i | ||||
\(78\) | −1.11956 | − | 1.90592i | −0.126765 | − | 0.215803i | ||||
\(79\) | −14.4682 | − | 4.24824i | −1.62780 | − | 0.477964i | −0.664697 | − | 0.747113i | \(-0.731439\pi\) |
−0.963098 | + | 0.269149i | \(0.913258\pi\) | |||||||
\(80\) | 1.95216 | − | 12.0696i | 0.218258 | − | 1.34942i | ||||
\(81\) | −0.654861 | − | 0.755750i | −0.0727623 | − | 0.0839722i | ||||
\(82\) | −5.45568 | + | 4.35711i | −0.602479 | + | 0.481163i | ||||
\(83\) | −3.46060 | − | 1.58040i | −0.379850 | − | 0.173472i | 0.216334 | − | 0.976319i | \(-0.430590\pi\) |
−0.596184 | + | 0.802848i | \(0.703317\pi\) | |||||||
\(84\) | 8.38651 | + | 1.90161i | 0.915043 | + | 0.207483i | ||||
\(85\) | −5.83590 | − | 19.8752i | −0.632992 | − | 2.15577i | ||||
\(86\) | −2.41128 | + | 2.56722i | −0.260015 | + | 0.276830i | ||||
\(87\) | 3.19903 | + | 7.00490i | 0.342972 | + | 0.751004i | ||||
\(88\) | 12.4930 | + | 1.50975i | 1.33175 | + | 0.160940i | ||||
\(89\) | 0.289229 | − | 0.185876i | 0.0306583 | − | 0.0197029i | −0.525222 | − | 0.850965i | \(-0.676018\pi\) |
0.555880 | + | 0.831262i | \(0.312381\pi\) | |||||||
\(90\) | 4.19307 | − | 1.05064i | 0.441989 | − | 0.110747i | ||||
\(91\) | 6.72044i | 0.704494i | ||||||||
\(92\) | −8.52317 | − | 4.39949i | −0.888602 | − | 0.458678i | ||||
\(93\) | 9.70593i | 1.00646i | ||||||||
\(94\) | 2.76226 | + | 11.0241i | 0.284905 | + | 1.13705i | ||||
\(95\) | 10.8626 | − | 6.98097i | 1.11448 | − | 0.716233i | ||||
\(96\) | −1.27838 | − | 5.51051i | −0.130474 | − | 0.562414i | ||||
\(97\) | 2.48781 | + | 5.44754i | 0.252599 | + | 0.553114i | 0.992871 | − | 0.119193i | \(-0.0380307\pi\) |
−0.740272 | + | 0.672307i | \(0.765303\pi\) | |||||||
\(98\) | −11.8414 | − | 11.1221i | −1.19616 | − | 1.12351i | ||||
\(99\) | 1.25345 | + | 4.26885i | 0.125976 | + | 0.429035i | ||||
\(100\) | −1.92070 | + | 8.47068i | −0.192070 | + | 0.847068i | ||||
\(101\) | 4.95871 | + | 2.26457i | 0.493410 | + | 0.225333i | 0.646550 | − | 0.762872i | \(-0.276211\pi\) |
−0.153140 | + | 0.988205i | \(0.548938\pi\) | |||||||
\(102\) | −5.98084 | − | 7.48880i | −0.592192 | − | 0.741502i | ||||
\(103\) | 0.882524 | + | 1.01849i | 0.0869577 | + | 0.100355i | 0.797561 | − | 0.603238i | \(-0.206123\pi\) |
−0.710603 | + | 0.703593i | \(0.751578\pi\) | |||||||
\(104\) | 3.97894 | − | 1.92663i | 0.390167 | − | 0.188921i | ||||
\(105\) | −12.6101 | − | 3.70267i | −1.23062 | − | 0.361343i | ||||
\(106\) | −1.94312 | + | 1.14141i | −0.188733 | + | 0.110864i | ||||
\(107\) | 5.33870 | − | 8.30717i | 0.516111 | − | 0.803085i | −0.481181 | − | 0.876621i | \(-0.659792\pi\) |
0.997293 | + | 0.0735364i | \(0.0234285\pi\) | |||||||
\(108\) | 1.61154 | − | 1.18446i | 0.155071 | − | 0.113974i | ||||
\(109\) | −5.21608 | − | 0.749959i | −0.499610 | − | 0.0718330i | −0.112097 | − | 0.993697i | \(-0.535757\pi\) |
−0.387513 | + | 0.921864i | \(0.626666\pi\) | |||||||
\(110\) | −18.9112 | − | 3.49772i | −1.80311 | − | 0.333495i | ||||
\(111\) | −0.718905 | − | 5.00010i | −0.0682355 | − | 0.474588i | ||||
\(112\) | −5.13437 | + | 16.4145i | −0.485153 | + | 1.55103i | ||||
\(113\) | −5.77675 | + | 6.66673i | −0.543431 | + | 0.627153i | −0.959340 | − | 0.282253i | \(-0.908918\pi\) |
0.415909 | + | 0.909406i | \(0.363464\pi\) | |||||||
\(114\) | 3.42875 | − | 4.89236i | 0.321131 | − | 0.458212i | ||||
\(115\) | 12.5797 | + | 7.52577i | 1.17306 | + | 0.701782i | ||||
\(116\) | −14.4772 | + | 5.25545i | −1.34418 | + | 0.487956i | ||||
\(117\) | 1.18124 | + | 1.02355i | 0.109206 | + | 0.0946272i | ||||
\(118\) | 0.0602088 | + | 0.00241497i | 0.00554267 | + | 0.000222316i | ||||
\(119\) | 4.14686 | + | 28.8420i | 0.380142 | + | 2.64394i | ||||
\(120\) | 1.42288 | + | 8.52750i | 0.129890 | + | 0.778451i | ||||
\(121\) | 1.25154 | − | 8.70467i | 0.113777 | − | 0.791334i | ||||
\(122\) | 4.98448 | + | 1.68333i | 0.451274 | + | 0.152401i | ||||
\(123\) | 2.66917 | − | 4.15331i | 0.240671 | − | 0.374491i | ||||
\(124\) | −19.3495 | − | 1.55471i | −1.73764 | − | 0.139617i | ||||
\(125\) | −0.565899 | + | 1.92727i | −0.0506155 | + | 0.172381i | ||||
\(126\) | −6.04864 | + | 0.623458i | −0.538856 | + | 0.0555421i | ||||
\(127\) | −2.93568 | − | 3.38796i | −0.260500 | − | 0.300633i | 0.610400 | − | 0.792093i | \(-0.291009\pi\) |
−0.870900 | + | 0.491460i | \(0.836463\pi\) | |||||||
\(128\) | 11.1904 | − | 1.66586i | 0.989100 | − | 0.147243i | ||||
\(129\) | 1.03458 | − | 2.26541i | 0.0910896 | − | 0.199458i | ||||
\(130\) | −6.25338 | + | 2.55814i | −0.548457 | + | 0.224364i | ||||
\(131\) | 5.12627 | + | 17.4585i | 0.447884 | + | 1.52535i | 0.806137 | + | 0.591730i | \(0.201555\pi\) |
−0.358252 | + | 0.933625i | \(0.616627\pi\) | |||||||
\(132\) | −8.71105 | + | 1.81505i | −0.758199 | + | 0.157980i | ||||
\(133\) | −16.5223 | + | 7.54549i | −1.43267 | + | 0.654277i | ||||
\(134\) | −1.55803 | + | 3.07873i | −0.134594 | + | 0.265962i | ||||
\(135\) | −2.57138 | + | 1.65253i | −0.221309 | + | 0.142227i | ||||
\(136\) | 15.8875 | − | 10.7237i | 1.36234 | − | 0.919549i | ||||
\(137\) | 17.2542 | 1.47413 | 0.737063 | − | 0.675825i | \(-0.236212\pi\) | ||||
0.737063 | + | 0.675825i | \(0.236212\pi\) | |||||||
\(138\) | 6.70534 | + | 1.01904i | 0.570796 | + | 0.0867461i | ||||
\(139\) | 3.27624i | 0.277887i | 0.990300 | + | 0.138943i | \(0.0443706\pi\) | ||||
−0.990300 | + | 0.138943i | \(0.955629\pi\) | |||||||
\(140\) | 9.40146 | − | 24.5461i | 0.794568 | − | 2.07453i | ||||
\(141\) | −4.34469 | − | 6.76047i | −0.365889 | − | 0.569334i | ||||
\(142\) | 15.7306 | + | 7.96068i | 1.32008 | + | 0.668046i | ||||
\(143\) | −2.88876 | − | 6.32549i | −0.241570 | − | 0.528964i | ||||
\(144\) | 2.10316 | + | 3.40246i | 0.175264 | + | 0.283538i | ||||
\(145\) | 22.5849 | − | 6.63152i | 1.87557 | − | 0.550718i | ||||
\(146\) | 7.96746 | − | 3.25934i | 0.659392 | − | 0.269745i | ||||
\(147\) | 10.4493 | + | 4.77204i | 0.861844 | + | 0.393591i | ||||
\(148\) | 10.0832 | − | 0.632267i | 0.828836 | − | 0.0519720i | ||||
\(149\) | −5.15486 | + | 4.46671i | −0.422302 | + | 0.365927i | −0.839933 | − | 0.542690i | \(-0.817406\pi\) |
0.417631 | + | 0.908617i | \(0.362861\pi\) | |||||||
\(150\) | −0.629716 | − | 6.10936i | −0.0514161 | − | 0.498827i | ||||
\(151\) | 7.39297 | + | 2.17077i | 0.601631 | + | 0.176655i | 0.568344 | − | 0.822791i | \(-0.307584\pi\) |
0.0332872 | + | 0.999446i | \(0.489402\pi\) | |||||||
\(152\) | 9.20407 | + | 7.61913i | 0.746549 | + | 0.617993i | ||||
\(153\) | 5.70109 | + | 3.66387i | 0.460906 | + | 0.296206i | ||||
\(154\) | 25.6312 | + | 8.65602i | 2.06542 | + | 0.697522i | ||||
\(155\) | 29.3653 | + | 4.22209i | 2.35867 | + | 0.339126i | ||||
\(156\) | −2.22974 | + | 2.19093i | −0.178522 | + | 0.175415i | ||||
\(157\) | 1.00715 | − | 0.144806i | 0.0803790 | − | 0.0115568i | −0.102008 | − | 0.994784i | \(-0.532527\pi\) |
0.182387 | + | 0.983227i | \(0.441618\pi\) | |||||||
\(158\) | −0.854651 | + | 21.3077i | −0.0679924 | + | 1.69515i | ||||
\(159\) | 1.04353 | − | 1.20429i | 0.0827571 | − | 0.0955068i | ||||
\(160\) | −17.2281 | + | 1.47066i | −1.36200 | + | 0.116266i | ||||
\(161\) | −16.0090 | − | 12.9970i | −1.26168 | − | 1.02431i | ||||
\(162\) | −0.811648 | + | 1.15811i | −0.0637691 | + | 0.0909900i | ||||
\(163\) | −12.0504 | − | 10.4417i | −0.943861 | − | 0.817860i | 0.0395563 | − | 0.999217i | \(-0.487406\pi\) |
−0.983417 | + | 0.181357i | \(0.941951\pi\) | |||||||
\(164\) | 7.85238 | + | 5.98647i | 0.613168 | + | 0.467465i | ||||
\(165\) | 13.4606 | − | 1.93535i | 1.04791 | − | 0.150667i | ||||
\(166\) | −0.978502 | + | 5.29049i | −0.0759465 | + | 0.410622i | ||||
\(167\) | −1.34190 | + | 9.33313i | −0.103839 | + | 0.722219i | 0.869680 | + | 0.493616i | \(0.164325\pi\) |
−0.973520 | + | 0.228604i | \(0.926584\pi\) | |||||||
\(168\) | −0.274027 | − | 12.1583i | −0.0211417 | − | 0.938033i | ||||
\(169\) | 8.88113 | + | 5.70756i | 0.683164 | + | 0.439043i | ||||
\(170\) | −25.2590 | + | 14.8374i | −1.93728 | + | 1.13798i | ||||
\(171\) | −1.19016 | + | 4.05330i | −0.0910136 | + | 0.309964i | ||||
\(172\) | 4.35055 | + | 2.42539i | 0.331726 | + | 0.184934i | ||||
\(173\) | 15.8705 | − | 13.7519i | 1.20661 | − | 1.04554i | 0.208900 | − | 0.977937i | \(-0.433012\pi\) |
0.997713 | − | 0.0675990i | \(-0.0215338\pi\) | |||||||
\(174\) | 8.50977 | − | 6.79622i | 0.645124 | − | 0.515220i | ||||
\(175\) | −7.75703 | + | 16.9855i | −0.586376 | + | 1.28398i | ||||
\(176\) | −2.22308 | − | 17.6569i | −0.167571 | − | 1.33094i | ||||
\(177\) | −0.0408824 | + | 0.0120042i | −0.00307291 | + | 0.000902287i | ||||
\(178\) | −0.354403 | − | 0.332876i | −0.0265636 | − | 0.0249501i | ||||
\(179\) | −10.4028 | + | 4.75080i | −0.777542 | + | 0.355091i | −0.764333 | − | 0.644821i | \(-0.776932\pi\) |
−0.0132085 | + | 0.999913i | \(0.504205\pi\) | |||||||
\(180\) | −2.88255 | − | 5.39095i | −0.214852 | − | 0.401818i | ||||
\(181\) | −8.18237 | − | 12.7320i | −0.608190 | − | 0.946363i | −0.999657 | − | 0.0261707i | \(-0.991669\pi\) |
0.391467 | − | 0.920192i | \(-0.371968\pi\) | |||||||
\(182\) | 9.21914 | − | 2.31000i | 0.683368 | − | 0.171229i | ||||
\(183\) | −3.72013 | −0.275000 | ||||||||
\(184\) | −3.10560 | + | 13.2044i | −0.228948 | + | 0.973439i | ||||
\(185\) | −15.4405 | −1.13521 | ||||||||
\(186\) | 13.3146 | − | 3.33619i | 0.976277 | − | 0.244622i | ||||
\(187\) | −16.3008 | − | 25.3645i | −1.19203 | − | 1.85484i | ||||
\(188\) | 14.1734 | − | 7.57856i | 1.03370 | − | 0.552723i | ||||
\(189\) | 3.91114 | − | 1.78616i | 0.284494 | − | 0.129924i | ||||
\(190\) | −13.3103 | − | 12.5018i | −0.965632 | − | 0.906979i | ||||
\(191\) | −13.2279 | + | 3.88407i | −0.957139 | + | 0.281041i | −0.722756 | − | 0.691103i | \(-0.757125\pi\) |
−0.234383 | + | 0.972144i | \(0.575307\pi\) | |||||||
\(192\) | −7.11994 | + | 3.64780i | −0.513837 | + | 0.263258i | ||||
\(193\) | −6.24722 | + | 13.6795i | −0.449685 | + | 0.984672i | 0.540034 | + | 0.841643i | \(0.318411\pi\) |
−0.989719 | + | 0.143029i | \(0.954316\pi\) | |||||||
\(194\) | 6.61784 | − | 5.28526i | 0.475133 | − | 0.379460i | ||||
\(195\) | 3.61059 | − | 3.12859i | 0.258559 | − | 0.224043i | ||||
\(196\) | −11.1872 | + | 20.0671i | −0.799086 | + | 1.43336i | ||||
\(197\) | 4.55156 | − | 15.5012i | 0.324285 | − | 1.10441i | −0.622520 | − | 0.782604i | \(-0.713891\pi\) |
0.946805 | − | 0.321809i | \(-0.104291\pi\) | |||||||
\(198\) | 5.42519 | − | 3.18681i | 0.385551 | − | 0.226476i | ||||
\(199\) | 14.5454 | + | 9.34777i | 1.03110 | + | 0.662646i | 0.942769 | − | 0.333445i | \(-0.108211\pi\) |
0.0883279 | + | 0.996091i | \(0.471848\pi\) | |||||||
\(200\) | 12.2803 | − | 0.276778i | 0.868350 | − | 0.0195711i | ||||
\(201\) | 0.347231 | − | 2.41505i | 0.0244918 | − | 0.170344i | ||||
\(202\) | 1.40210 | − | 7.58079i | 0.0986516 | − | 0.533382i | ||||
\(203\) | −32.7741 | + | 4.71221i | −2.30029 | + | 0.330732i | ||||
\(204\) | −8.21741 | + | 10.7787i | −0.575334 | + | 0.754657i | ||||
\(205\) | −11.4047 | − | 9.88225i | −0.796541 | − | 0.690207i | ||||
\(206\) | 1.09382 | − | 1.56073i | 0.0762100 | − | 0.108742i | ||||
\(207\) | −4.72269 | + | 0.834370i | −0.328250 | + | 0.0579927i | ||||
\(208\) | −4.01063 | − | 4.79609i | −0.278087 | − | 0.332549i | ||||
\(209\) | 12.3079 | − | 14.2041i | 0.851358 | − | 0.982519i | ||||
\(210\) | −0.744895 | + | 18.5714i | −0.0514026 | + | 1.28155i | ||||
\(211\) | 6.62498 | − | 0.952528i | 0.456082 | − | 0.0655747i | 0.0895546 | − | 0.995982i | \(-0.471456\pi\) |
0.366528 | + | 0.930407i | \(0.380547\pi\) | |||||||
\(212\) | 2.23370 | + | 2.27326i | 0.153411 | + | 0.156128i | ||||
\(213\) | −12.3395 | − | 1.77416i | −0.845491 | − | 0.121563i | ||||
\(214\) | −13.2309 | − | 4.46825i | −0.904445 | − | 0.305443i | ||||
\(215\) | −6.40395 | − | 4.11557i | −0.436746 | − | 0.280680i | ||||
\(216\) | −2.17878 | − | 1.80359i | −0.148247 | − | 0.122719i | ||||
\(217\) | −40.0421 | − | 11.7574i | −2.71823 | − | 0.798146i | ||||
\(218\) | 0.764111 | + | 7.41323i | 0.0517521 | + | 0.502087i | ||||
\(219\) | −4.60027 | + | 3.98615i | −0.310857 | + | 0.269359i | ||||
\(220\) | 1.70211 | + | 27.1448i | 0.114756 | + | 1.83010i | ||||
\(221\) | −9.63511 | − | 4.40021i | −0.648127 | − | 0.295990i | ||||
\(222\) | −6.61205 | + | 2.70487i | −0.443772 | + | 0.181539i | ||||
\(223\) | −13.0418 | + | 3.82942i | −0.873343 | + | 0.256437i | −0.687537 | − | 0.726150i | \(-0.741308\pi\) |
−0.185807 | + | 0.982586i | \(0.559490\pi\) | |||||||
\(224\) | 24.2824 | + | 1.40124i | 1.62243 | + | 0.0936245i | ||||
\(225\) | 1.80409 | + | 3.95040i | 0.120272 | + | 0.263360i | ||||
\(226\) | 11.1311 | + | 5.63304i | 0.740429 | + | 0.374705i | ||||
\(227\) | 13.4607 | + | 20.9452i | 0.893417 | + | 1.39018i | 0.920580 | + | 0.390554i | \(0.127716\pi\) |
−0.0271628 | + | 0.999631i | \(0.508647\pi\) | |||||||
\(228\) | −7.88993 | − | 3.02193i | −0.522523 | − | 0.200132i | ||||
\(229\) | 3.70190i | 0.244628i | 0.992491 | + | 0.122314i | \(0.0390316\pi\) | ||||
−0.992491 | + | 0.122314i | \(0.960968\pi\) | |||||||
\(230\) | 5.99992 | − | 19.8437i | 0.395623 | − | 1.30845i | ||||
\(231\) | −19.1296 | −1.25864 | ||||||||
\(232\) | 12.1857 | + | 18.0535i | 0.800029 | + | 1.18527i | ||||
\(233\) | −17.8866 | + | 11.4950i | −1.17179 | + | 0.753062i | −0.973859 | − | 0.227155i | \(-0.927058\pi\) |
−0.197928 | + | 0.980216i | \(0.563421\pi\) | |||||||
\(234\) | 0.998087 | − | 1.97225i | 0.0652470 | − | 0.128930i | ||||
\(235\) | −22.3437 | + | 10.2040i | −1.45754 | + | 0.665638i | ||||
\(236\) | −0.0173826 | − | 0.0834249i | −0.00113151 | − | 0.00543050i | ||||
\(237\) | −4.24824 | − | 14.4682i | −0.275953 | − | 0.939808i | ||||
\(238\) | 38.1403 | − | 15.6025i | 2.47227 | − | 1.01136i | ||||
\(239\) | 7.44315 | − | 16.2982i | 0.481457 | − | 1.05424i | −0.500603 | − | 0.865677i | \(-0.666888\pi\) |
0.982060 | − | 0.188568i | \(-0.0603845\pi\) | |||||||
\(240\) | 11.2090 | − | 4.88304i | 0.723537 | − | 0.315199i | ||||
\(241\) | −5.32194 | − | 6.14184i | −0.342816 | − | 0.395631i | 0.557993 | − | 0.829845i | \(-0.311571\pi\) |
−0.900809 | + | 0.434215i | \(0.857026\pi\) | |||||||
\(242\) | −12.3713 | + | 1.27516i | −0.795258 | + | 0.0819704i | ||||
\(243\) | 0.281733 | − | 0.959493i | 0.0180732 | − | 0.0615515i | ||||
\(244\) | 0.595897 | − | 7.41635i | 0.0381484 | − | 0.474783i | ||||
\(245\) | 18.9832 | − | 29.5385i | 1.21280 | − | 1.88715i | ||||
\(246\) | −6.61500 | − | 2.23398i | −0.421757 | − | 0.142433i | ||||
\(247\) | 0.939675 | − | 6.53558i | 0.0597901 | − | 0.415849i | ||||
\(248\) | 4.51819 | + | 27.0782i | 0.286905 | + | 1.71946i | ||||
\(249\) | −0.541421 | − | 3.76567i | −0.0343112 | − | 0.238640i | ||||
\(250\) | 2.83836 | + | 0.113846i | 0.179514 | + | 0.00720027i | ||||
\(251\) | −19.0145 | − | 16.4762i | −1.20018 | − | 1.03997i | −0.998163 | − | 0.0605852i | \(-0.980703\pi\) |
−0.202022 | − | 0.979381i | \(-0.564751\pi\) | |||||||
\(252\) | 2.93435 | + | 8.08327i | 0.184847 | + | 0.509198i | ||||
\(253\) | 20.6549 | + | 5.35182i | 1.29856 | + | 0.336466i | ||||
\(254\) | −3.63855 | + | 5.19172i | −0.228303 | + | 0.325758i | ||||
\(255\) | 13.5650 | − | 15.6548i | 0.849473 | − | 0.980344i | ||||
\(256\) | −6.13169 | − | 14.7784i | −0.383230 | − | 0.923653i | ||||
\(257\) | 0.499775 | + | 3.47601i | 0.0311751 | + | 0.216827i | 0.999454 | − | 0.0330449i | \(-0.0105204\pi\) |
−0.968279 | + | 0.249872i | \(0.919611\pi\) | |||||||
\(258\) | −3.46332 | − | 0.640558i | −0.215617 | − | 0.0398794i | ||||
\(259\) | 21.4989 | + | 3.09108i | 1.33588 | + | 0.192070i | ||||
\(260\) | 5.65873 | + | 7.69912i | 0.350939 | + | 0.477479i | ||||
\(261\) | −4.16337 | + | 6.47833i | −0.257706 | + | 0.400998i | ||||
\(262\) | 22.1876 | − | 13.0332i | 1.37075 | − | 0.805194i | ||||
\(263\) | 0.0134845 | + | 0.00395940i | 0.000831488 | + | 0.000244147i | 0.282148 | − | 0.959371i | \(-0.408953\pi\) |
−0.281317 | + | 0.959615i | \(0.590771\pi\) | |||||||
\(264\) | 5.48412 | + | 11.3260i | 0.337524 | + | 0.697066i | ||||
\(265\) | −3.18965 | − | 3.68106i | −0.195939 | − | 0.226126i | ||||
\(266\) | 16.0301 | + | 20.0718i | 0.982870 | + | 1.23068i | ||||
\(267\) | 0.312739 | + | 0.142823i | 0.0191393 | + | 0.00874062i | ||||
\(268\) | 4.75896 | + | 1.07908i | 0.290699 | + | 0.0659152i | ||||
\(269\) | 2.91995 | + | 9.94444i | 0.178033 | + | 0.606323i | 0.999357 | + | 0.0358616i | \(0.0114176\pi\) |
−0.821324 | + | 0.570462i | \(0.806764\pi\) | |||||||
\(270\) | 3.15080 | + | 2.95942i | 0.191752 | + | 0.180104i | ||||
\(271\) | −6.33488 | − | 13.8715i | −0.384817 | − | 0.842631i | −0.998587 | − | 0.0531460i | \(-0.983075\pi\) |
0.613770 | − | 0.789485i | \(-0.289652\pi\) | |||||||
\(272\) | −20.1718 | − | 18.1086i | −1.22309 | − | 1.09799i | ||||
\(273\) | −5.65360 | + | 3.63335i | −0.342171 | + | 0.219900i | ||||
\(274\) | −5.93074 | − | 23.6694i | −0.358289 | − | 1.42992i | ||||
\(275\) | − | 19.3216i | − | 1.16514i | ||||||
\(276\) | −0.906889 | − | 9.54869i | −0.0545883 | − | 0.574764i | ||||
\(277\) | 31.1942i | 1.87428i | 0.348956 | + | 0.937139i | \(0.386536\pi\) | ||||
−0.348956 | + | 0.937139i | \(0.613464\pi\) | |||||||
\(278\) | 4.49436 | − | 1.12613i | 0.269554 | − | 0.0675410i | ||||
\(279\) | −8.16515 | + | 5.24742i | −0.488835 | + | 0.314155i | ||||
\(280\) | −36.9041 | − | 4.45980i | −2.20544 | − | 0.266524i | ||||
\(281\) | 4.35006 | + | 9.52530i | 0.259503 | + | 0.568232i | 0.993874 | − | 0.110516i | \(-0.0352503\pi\) |
−0.734372 | + | 0.678748i | \(0.762523\pi\) | |||||||
\(282\) | −7.78066 | + | 8.28383i | −0.463332 | + | 0.493295i | ||||
\(283\) | −3.13391 | − | 10.6731i | −0.186292 | − | 0.634451i | −0.998681 | − | 0.0513364i | \(-0.983652\pi\) |
0.812390 | − | 0.583115i | \(-0.198166\pi\) | |||||||
\(284\) | 5.51348 | − | 24.3156i | 0.327165 | − | 1.44286i | ||||
\(285\) | 11.7455 | + | 5.36401i | 0.695746 | + | 0.317736i | ||||
\(286\) | −7.68441 | + | 6.13706i | −0.454388 | + | 0.362892i | ||||
\(287\) | 13.9013 | + | 16.0429i | 0.820565 | + | 0.946983i | ||||
\(288\) | 3.94459 | − | 4.05465i | 0.232437 | − | 0.238923i | ||||
\(289\) | −27.7546 | − | 8.14949i | −1.63262 | − | 0.479382i | ||||
\(290\) | −16.8602 | − | 28.7026i | −0.990065 | − | 1.68548i | ||||
\(291\) | −3.23775 | + | 5.03804i | −0.189800 | + | 0.295335i | ||||
\(292\) | −7.20982 | − | 9.80948i | −0.421923 | − | 0.574057i | ||||
\(293\) | 7.58748 | + | 1.09091i | 0.443265 | + | 0.0637319i | 0.360334 | − | 0.932823i | \(-0.382663\pi\) |
0.0829312 | + | 0.996555i | \(0.473572\pi\) | |||||||
\(294\) | 2.95460 | − | 15.9747i | 0.172316 | − | 0.931664i | ||||
\(295\) | 0.0185346 | + | 0.128911i | 0.00107913 | + | 0.00750551i | ||||
\(296\) | −4.33323 | − | 13.6149i | −0.251864 | − | 0.791350i | ||||
\(297\) | −2.91352 | + | 3.36238i | −0.169059 | + | 0.195105i | ||||
\(298\) | 7.89932 | + | 5.53613i | 0.457596 | + | 0.320700i | ||||
\(299\) | 7.12085 | − | 2.34136i | 0.411810 | − | 0.135404i | ||||
\(300\) | −8.16440 | + | 2.96380i | −0.471372 | + | 0.171115i | ||||
\(301\) | 8.09277 | + | 7.01243i | 0.466460 | + | 0.404190i | ||||
\(302\) | 0.436711 | − | 10.8879i | 0.0251299 | − | 0.626527i | ||||
\(303\) | 0.775806 | + | 5.39585i | 0.0445689 | + | 0.309984i | ||||
\(304\) | 7.28828 | − | 15.2451i | 0.418011 | − | 0.874366i | ||||
\(305\) | −1.61826 | + | 11.2552i | −0.0926612 | + | 0.644472i | ||||
\(306\) | 3.06649 | − | 9.08016i | 0.175300 | − | 0.519078i | ||||
\(307\) | 15.6100 | − | 24.2897i | 0.890911 | − | 1.38628i | −0.0312637 | − | 0.999511i | \(-0.509953\pi\) |
0.922175 | − | 0.386773i | \(-0.126410\pi\) | |||||||
\(308\) | 3.06422 | − | 38.1364i | 0.174600 | − | 2.17302i | ||||
\(309\) | −0.379677 | + | 1.29306i | −0.0215991 | + | 0.0735598i | ||||
\(310\) | −4.30176 | − | 41.7347i | −0.244324 | − | 2.37037i | ||||
\(311\) | −11.5864 | − | 13.3714i | −0.657002 | − | 0.758221i | 0.325282 | − | 0.945617i | \(-0.394541\pi\) |
−0.982284 | + | 0.187396i | \(0.939995\pi\) | |||||||
\(312\) | 3.77196 | + | 2.30568i | 0.213545 | + | 0.130533i | ||||
\(313\) | −5.60739 | + | 12.2785i | −0.316948 | + | 0.694020i | −0.999316 | − | 0.0369894i | \(-0.988223\pi\) |
0.682367 | + | 0.731009i | \(0.260950\pi\) | |||||||
\(314\) | −0.544829 | − | 1.33183i | −0.0307465 | − | 0.0751598i | ||||
\(315\) | −3.70267 | − | 12.6101i | −0.208622 | − | 0.710500i | ||||
\(316\) | 29.5239 | − | 6.15164i | 1.66085 | − | 0.346057i | ||||
\(317\) | −20.5738 | + | 9.39574i | −1.15554 | + | 0.527718i | −0.898626 | − | 0.438716i | \(-0.855433\pi\) |
−0.256915 | + | 0.966434i | \(0.582706\pi\) | |||||||
\(318\) | −2.01075 | − | 1.01757i | −0.112757 | − | 0.0570624i | ||||
\(319\) | 28.8225 | − | 18.5231i | 1.61375 | − | 1.03709i | ||||
\(320\) | 7.93924 | + | 23.1281i | 0.443817 | + | 1.29290i | ||||
\(321\) | 9.87476 | 0.551155 | ||||||||
\(322\) | −12.3267 | + | 26.4287i | −0.686939 | + | 1.47281i | ||||
\(323\) | − | 28.6285i | − | 1.59293i | ||||||
\(324\) | 1.86769 | + | 0.715348i | 0.103761 | + | 0.0397416i | ||||
\(325\) | −3.66981 | − | 5.71034i | −0.203565 | − | 0.316753i | ||||
\(326\) | −10.1820 | + | 20.1199i | −0.563928 | + | 1.11434i | ||||
\(327\) | −2.18912 | − | 4.79350i | −0.121059 | − | 0.265081i | ||||
\(328\) | 5.51320 | − | 12.8297i | 0.304416 | − | 0.708399i | ||||
\(329\) | 33.1535 | − | 9.73475i | 1.82781 | − | 0.536694i | ||||
\(330\) | −7.28171 | − | 17.8001i | −0.400845 | − | 0.979866i | ||||
\(331\) | 11.9404 | + | 5.45301i | 0.656305 | + | 0.299725i | 0.715594 | − | 0.698516i | \(-0.246156\pi\) |
−0.0592890 | + | 0.998241i | \(0.518883\pi\) | |||||||
\(332\) | 7.59387 | − | 0.476173i | 0.416768 | − | 0.0261334i | ||||
\(333\) | 3.81768 | − | 3.30804i | 0.209208 | − | 0.181279i | ||||
\(334\) | 13.2645 | − | 1.36722i | 0.725801 | − | 0.0748112i | ||||
\(335\) | −7.15567 | − | 2.10109i | −0.390956 | − | 0.114795i | ||||
\(336\) | −16.5846 | + | 4.55505i | −0.904766 | + | 0.248498i | ||||
\(337\) | 2.49928 | + | 1.60619i | 0.136144 | + | 0.0874947i | 0.606940 | − | 0.794748i | \(-0.292397\pi\) |
−0.470796 | + | 0.882242i | \(0.656033\pi\) | |||||||
\(338\) | 4.77697 | − | 14.1450i | 0.259833 | − | 0.769388i | ||||
\(339\) | −8.73155 | − | 1.25541i | −0.474233 | − | 0.0681844i | ||||
\(340\) | 29.0362 | + | 29.5505i | 1.57471 | + | 1.60260i | ||||
\(341\) | 42.7428 | − | 6.14548i | 2.31465 | − | 0.332797i | ||||
\(342\) | 5.96944 | + | 0.239433i | 0.322790 | + | 0.0129471i | ||||
\(343\) | −12.6352 | + | 14.5818i | −0.682236 | + | 0.787343i | ||||
\(344\) | 1.83176 | − | 6.80178i | 0.0987619 | − | 0.366727i | ||||
\(345\) | 0.470008 | + | 14.6514i | 0.0253044 | + | 0.788807i | ||||
\(346\) | −24.3200 | − | 17.0444i | −1.30745 | − | 0.916311i | ||||
\(347\) | 2.45455 | + | 2.12688i | 0.131767 | + | 0.114177i | 0.718251 | − | 0.695784i | \(-0.244943\pi\) |
−0.586484 | + | 0.809961i | \(0.699488\pi\) | |||||||
\(348\) | −12.2481 | − | 9.33770i | −0.656569 | − | 0.500553i | ||||
\(349\) | −0.607645 | + | 0.0873661i | −0.0325265 | + | 0.00467660i | −0.158559 | − | 0.987350i | \(-0.550685\pi\) |
0.126032 | + | 0.992026i | \(0.459776\pi\) | |||||||
\(350\) | 25.9671 | + | 4.80275i | 1.38800 | + | 0.256718i | ||||
\(351\) | −0.222439 | + | 1.54709i | −0.0118729 | + | 0.0825778i | ||||
\(352\) | −23.4577 | + | 9.11879i | −1.25030 | + | 0.486033i | ||||
\(353\) | 0.0410946 | + | 0.0264099i | 0.00218725 | + | 0.00140566i | 0.541734 | − | 0.840550i | \(-0.317768\pi\) |
−0.539547 | + | 0.841956i | \(0.681404\pi\) | |||||||
\(354\) | 0.0305198 | + | 0.0519565i | 0.00162211 | + | 0.00276146i | ||||
\(355\) | −10.7354 | + | 36.5614i | −0.569776 | + | 1.94048i | ||||
\(356\) | −0.334823 | + | 0.600590i | −0.0177456 | + | 0.0318312i | ||||
\(357\) | −22.0215 | + | 19.0817i | −1.16550 | + | 1.00991i | ||||
\(358\) | 10.0929 | + | 12.6376i | 0.533427 | + | 0.667920i | ||||
\(359\) | 11.8616 | − | 25.9734i | 0.626034 | − | 1.37082i | −0.285015 | − | 0.958523i | \(-0.591998\pi\) |
0.911048 | − | 0.412300i | \(-0.135274\pi\) | |||||||
\(360\) | −6.40452 | + | 5.80731i | −0.337548 | + | 0.306072i | ||||
\(361\) | −1.10749 | + | 0.325189i | −0.0582891 | + | 0.0171152i | ||||
\(362\) | −14.6533 | + | 15.6010i | −0.770163 | + | 0.819968i | ||||
\(363\) | 7.99947 | − | 3.65324i | 0.419863 | − | 0.191745i | ||||
\(364\) | −6.33774 | − | 11.8529i | −0.332188 | − | 0.621259i | ||||
\(365\) | 10.0590 | + | 15.6521i | 0.526511 | + | 0.819267i | ||||
\(366\) | 1.27871 | + | 5.10329i | 0.0668392 | + | 0.266753i | ||||
\(367\) | 5.55114 | 0.289767 | 0.144884 | − | 0.989449i | \(-0.453719\pi\) | ||||
0.144884 | + | 0.989449i | \(0.453719\pi\) | |||||||
\(368\) | 19.1813 | − | 0.278425i | 0.999895 | − | 0.0145139i | ||||
\(369\) | 4.93705 | 0.257012 | ||||||||
\(370\) | 5.30732 | + | 21.1814i | 0.275915 | + | 1.10117i | ||||
\(371\) | 3.70426 | + | 5.76394i | 0.192316 | + | 0.299249i | ||||
\(372\) | −9.15322 | − | 17.1184i | −0.474572 | − | 0.887546i | ||||
\(373\) | 4.64756 | − | 2.12247i | 0.240642 | − | 0.109897i | −0.291444 | − | 0.956588i | \(-0.594136\pi\) |
0.532086 | + | 0.846691i | \(0.321408\pi\) | |||||||
\(374\) | −29.1922 | + | 31.0800i | −1.50949 | + | 1.60711i | ||||
\(375\) | −1.92727 | + | 0.565899i | −0.0995240 | + | 0.0292229i | ||||
\(376\) | −15.2681 | − | 16.8383i | −0.787393 | − | 0.868367i | ||||
\(377\) | 5.00009 | − | 10.9487i | 0.257518 | − | 0.563886i | ||||
\(378\) | −3.79463 | − | 4.75138i | −0.195175 | − | 0.244384i | ||||
\(379\) | 25.5280 | − | 22.1201i | 1.31128 | − | 1.13623i | 0.329933 | − | 0.944004i | \(-0.392974\pi\) |
0.981350 | − | 0.192229i | \(-0.0615715\pi\) | |||||||
\(380\) | −12.5750 | + | 22.5564i | −0.645083 | + | 1.15712i | ||||
\(381\) | 1.26298 | − | 4.30132i | 0.0647045 | − | 0.220363i | ||||
\(382\) | 9.87499 | + | 16.8111i | 0.505249 | + | 0.860130i | ||||
\(383\) | 7.30520 | + | 4.69477i | 0.373278 | + | 0.239891i | 0.713807 | − | 0.700343i | \(-0.246970\pi\) |
−0.340528 | + | 0.940234i | \(0.610606\pi\) | |||||||
\(384\) | 7.45140 | + | 8.51332i | 0.380253 | + | 0.434444i | ||||
\(385\) | −8.32141 | + | 57.8767i | −0.424098 | + | 2.94967i | ||||
\(386\) | 20.9130 | + | 3.86795i | 1.06444 | + | 0.196874i | ||||
\(387\) | 2.46512 | − | 0.354431i | 0.125309 | − | 0.0180167i | ||||
\(388\) | −9.52508 | − | 7.26171i | −0.483563 | − | 0.368657i | ||||
\(389\) | 1.10921 | + | 0.961134i | 0.0562391 | + | 0.0487314i | 0.682527 | − | 0.730861i | \(-0.260881\pi\) |
−0.626288 | + | 0.779592i | \(0.715426\pi\) | |||||||
\(390\) | −5.53288 | − | 3.87764i | −0.280168 | − | 0.196352i | ||||
\(391\) | 29.1157 | − | 14.4423i | 1.47245 | − | 0.730379i | ||||
\(392\) | 31.3735 | + | 8.44907i | 1.58460 | + | 0.426743i | ||||
\(393\) | −11.9155 | + | 13.7513i | −0.601059 | + | 0.693659i | ||||
\(394\) | −22.8291 | − | 0.915673i | −1.15011 | − | 0.0461309i | ||||
\(395\) | −45.6214 | + | 6.55936i | −2.29546 | + | 0.330037i | ||||
\(396\) | −6.23646 | − | 6.34691i | −0.313394 | − | 0.318944i | ||||
\(397\) | −29.5279 | − | 4.24548i | −1.48196 | − | 0.213074i | −0.646625 | − | 0.762808i | \(-0.723820\pi\) |
−0.835340 | + | 0.549734i | \(0.814729\pi\) | |||||||
\(398\) | 7.82367 | − | 23.1666i | 0.392165 | − | 1.16124i | ||||
\(399\) | −15.2803 | − | 9.82006i | −0.764973 | − | 0.491618i | ||||
\(400\) | −4.60077 | − | 16.7511i | −0.230039 | − | 0.837555i | ||||
\(401\) | 17.5265 | + | 5.14624i | 0.875231 | + | 0.256991i | 0.688339 | − | 0.725389i | \(-0.258340\pi\) |
0.186892 | + | 0.982380i | \(0.440159\pi\) | |||||||
\(402\) | −3.43233 | + | 0.353784i | −0.171189 | + | 0.0176451i | ||||
\(403\) | 11.4650 | − | 9.93450i | 0.571113 | − | 0.494873i | ||||
\(404\) | −10.8813 | + | 0.682311i | −0.541365 | + | 0.0339462i | ||||
\(405\) | −2.78039 | − | 1.26976i | −0.138159 | − | 0.0630949i | ||||
\(406\) | 17.7296 | + | 43.3400i | 0.879905 | + | 2.15093i | ||||
\(407\) | −21.5641 | + | 6.33180i | −1.06889 | + | 0.313856i | ||||
\(408\) | 17.6108 | + | 7.56776i | 0.871864 | + | 0.374660i | ||||
\(409\) | −9.03824 | − | 19.7910i | −0.446912 | − | 0.978601i | −0.990278 | − | 0.139105i | \(-0.955577\pi\) |
0.543365 | − | 0.839496i | \(-0.317150\pi\) | |||||||
\(410\) | −9.63642 | + | 19.0419i | −0.475909 | + | 0.940411i | ||||
\(411\) | 9.32832 | + | 14.5151i | 0.460132 | + | 0.715980i | ||||
\(412\) | −2.51700 | − | 0.964041i | −0.124004 | − | 0.0474949i | ||||
\(413\) | − | 0.183203i | − | 0.00901483i | ||||||
\(414\) | 2.76791 | + | 6.19182i | 0.136035 | + | 0.304311i | ||||
\(415\) | −11.6285 | −0.570822 | ||||||||
\(416\) | −5.20075 | + | 7.15036i | −0.254988 | + | 0.350575i | ||||
\(417\) | −2.75615 | + | 1.77127i | −0.134969 | + | 0.0867394i | ||||
\(418\) | −23.7159 | − | 12.0018i | −1.15998 | − | 0.587025i | ||||
\(419\) | −32.0087 | + | 14.6179i | −1.56373 | + | 0.714130i | −0.994170 | − | 0.107823i | \(-0.965612\pi\) |
−0.569556 | + | 0.821953i | \(0.692885\pi\) | |||||||
\(420\) | 25.7323 | − | 5.36163i | 1.25561 | − | 0.261621i | ||||
\(421\) | 5.32657 | + | 18.1406i | 0.259601 | + | 0.884120i | 0.981393 | + | 0.192010i | \(0.0615005\pi\) |
−0.721792 | + | 0.692110i | \(0.756681\pi\) | |||||||
\(422\) | −3.58387 | − | 8.76077i | −0.174460 | − | 0.426468i | ||||
\(423\) | 3.33835 | − | 7.30997i | 0.162316 | − | 0.355423i | ||||
\(424\) | 2.35068 | − | 3.84558i | 0.114159 | − | 0.186758i | ||||
\(425\) | −19.2733 | − | 22.2425i | −0.934890 | − | 1.07892i | ||||
\(426\) | 1.80764 | + | 17.5373i | 0.0875802 | + | 0.849683i | ||||
\(427\) | 4.50643 | − | 15.3475i | 0.218081 | − | 0.742717i | ||||
\(428\) | −1.58176 | + | 19.6861i | −0.0764571 | + | 0.951562i | ||||
\(429\) | 3.75956 | − | 5.85000i | 0.181513 | − | 0.282441i | ||||
\(430\) | −3.44455 | + | 10.1996i | −0.166111 | + | 0.491869i | ||||
\(431\) | −2.11758 | + | 14.7281i | −0.102000 | + | 0.709426i | 0.873081 | + | 0.487576i | \(0.162119\pi\) |
−0.975081 | + | 0.221850i | \(0.928790\pi\) | |||||||
\(432\) | −1.72527 | + | 3.60880i | −0.0830071 | + | 0.173628i | ||||
\(433\) | 0.707694 | + | 4.92212i | 0.0340096 | + | 0.236542i | 0.999735 | − | 0.0230243i | \(-0.00732951\pi\) |
−0.965725 | + | 0.259566i | \(0.916420\pi\) | |||||||
\(434\) | −2.36533 | + | 58.9713i | −0.113540 | + | 2.83071i | ||||
\(435\) | 17.7891 | + | 15.4143i | 0.852922 | + | 0.739061i | ||||
\(436\) | 9.90686 | − | 3.59634i | 0.474453 | − | 0.172233i | ||||
\(437\) | 13.7513 | + | 14.8779i | 0.657815 | + | 0.711709i | ||||
\(438\) | 7.04947 | + | 4.94052i | 0.336836 | + | 0.236067i | ||||
\(439\) | −9.06927 | + | 10.4665i | −0.432852 | + | 0.499538i | −0.929709 | − | 0.368294i | \(-0.879942\pi\) |
0.496857 | + | 0.867832i | \(0.334487\pi\) | |||||||
\(440\) | 36.6523 | − | 11.6654i | 1.74733 | − | 0.556125i | ||||
\(441\) | 1.63483 | + | 11.3705i | 0.0778489 | + | 0.541451i | ||||
\(442\) | −2.72438 | + | 14.7300i | −0.129585 | + | 0.700633i | ||||
\(443\) | −25.6909 | − | 3.69380i | −1.22061 | − | 0.175498i | −0.498264 | − | 0.867026i | \(-0.666029\pi\) |
−0.722350 | + | 0.691528i | \(0.756938\pi\) | |||||||
\(444\) | 5.98330 | + | 8.14072i | 0.283955 | + | 0.386341i | ||||
\(445\) | 0.568152 | − | 0.884061i | 0.0269330 | − | 0.0419085i | ||||
\(446\) | 9.73604 | + | 16.5745i | 0.461015 | + | 0.784827i | ||||
\(447\) | −6.54456 | − | 1.92166i | −0.309547 | − | 0.0908912i | ||||
\(448\) | −6.42428 | − | 33.7923i | −0.303519 | − | 1.59654i | ||||
\(449\) | 19.5677 | + | 22.5823i | 0.923457 | + | 1.06573i | 0.997652 | + | 0.0684829i | \(0.0218159\pi\) |
−0.0741949 | + | 0.997244i | \(0.523639\pi\) | |||||||
\(450\) | 4.79907 | − | 3.83272i | 0.226230 | − | 0.180676i | ||||
\(451\) | −19.9803 | − | 9.12469i | −0.940835 | − | 0.429665i | ||||
\(452\) | 3.90139 | − | 17.2059i | 0.183506 | − | 0.809298i | ||||
\(453\) | 2.17077 | + | 7.39297i | 0.101992 | + | 0.347352i | ||||
\(454\) | 24.1060 | − | 25.6649i | 1.13135 | − | 1.20451i | ||||
\(455\) | 8.53336 | + | 18.6854i | 0.400050 | + | 0.875987i | ||||
\(456\) | −1.43352 | + | 11.8622i | −0.0671309 | + | 0.555497i | ||||
\(457\) | 19.8959 | − | 12.7863i | 0.930693 | − | 0.598120i | 0.0149516 | − | 0.999888i | \(-0.495241\pi\) |
0.915741 | + | 0.401768i | \(0.131604\pi\) | |||||||
\(458\) | 5.07829 | − | 1.27244i | 0.237293 | − | 0.0594574i | ||||
\(459\) | 6.77690i | 0.316318i | ||||||||
\(460\) | −29.2840 | − | 1.40990i | −1.36538 | − | 0.0657368i | ||||
\(461\) | − | 3.56338i | − | 0.165963i | −0.996551 | − | 0.0829815i | \(-0.973556\pi\) | ||
0.996551 | − | 0.0829815i | \(-0.0264442\pi\) | |||||||
\(462\) | 6.57538 | + | 26.2422i | 0.305914 | + | 1.22090i | ||||
\(463\) | −13.3951 | + | 8.60848i | −0.622521 | + | 0.400070i | −0.813534 | − | 0.581517i | \(-0.802459\pi\) |
0.191013 | + | 0.981588i | \(0.438823\pi\) | |||||||
\(464\) | 20.5773 | − | 22.9219i | 0.955279 | − | 1.06412i | ||||
\(465\) | 12.3242 | + | 26.9863i | 0.571522 | + | 1.25146i | ||||
\(466\) | 21.9170 | + | 20.5857i | 1.01529 | + | 0.953616i | ||||
\(467\) | 6.22163 | + | 21.1889i | 0.287903 | + | 0.980507i | 0.968741 | + | 0.248073i | \(0.0797974\pi\) |
−0.680838 | + | 0.732434i | \(0.738384\pi\) | |||||||
\(468\) | −3.04862 | − | 0.691264i | −0.140922 | − | 0.0319537i | ||||
\(469\) | 9.54272 | + | 4.35801i | 0.440642 | + | 0.201234i | ||||
\(470\) | 21.6781 | + | 27.1438i | 0.999936 | + | 1.25205i | ||||
\(471\) | 0.666322 | + | 0.768977i | 0.0307025 | + | 0.0354326i | ||||
\(472\) | −0.108468 | + | 0.0525209i | −0.00499264 | + | 0.00241747i | ||||
\(473\) | −10.6314 | − | 3.12167i | −0.488834 | − | 0.143535i | ||||
\(474\) | −18.3873 | + | 10.8009i | −0.844556 | + | 0.496100i | ||||
\(475\) | 9.91863 | − | 15.4337i | 0.455098 | − | 0.708146i | ||||
\(476\) | −34.5134 | − | 46.9581i | −1.58192 | − | 2.15232i | ||||
\(477\) | 1.57729 | + | 0.226780i | 0.0722192 | + | 0.0103835i | ||||
\(478\) | −24.9164 | − | 4.60841i | −1.13965 | − | 0.210784i | ||||
\(479\) | 5.04055 | + | 35.0578i | 0.230309 | + | 1.60183i | 0.696773 | + | 0.717292i | \(0.254619\pi\) |
−0.466464 | + | 0.884540i | \(0.654472\pi\) | |||||||
\(480\) | −10.5514 | − | 13.6981i | −0.481605 | − | 0.625231i | ||||
\(481\) | −5.17047 | + | 5.96705i | −0.235753 | + | 0.272074i | ||||
\(482\) | −6.59612 | + | 9.41178i | −0.300445 | + | 0.428695i | ||||
\(483\) | 2.27869 | − | 20.4943i | 0.103684 | − | 0.932525i | ||||
\(484\) | 6.00163 | + | 16.5327i | 0.272801 | + | 0.751488i | ||||
\(485\) | 13.8342 | + | 11.9874i | 0.628176 | + | 0.544318i | ||||
\(486\) | −1.41308 | − | 0.0566784i | −0.0640985 | − | 0.00257098i | ||||
\(487\) | −5.90140 | − | 41.0451i | −0.267418 | − | 1.85993i | −0.472693 | − | 0.881227i | \(-0.656718\pi\) |
0.205276 | − | 0.978704i | \(-0.434191\pi\) | |||||||
\(488\) | −10.3786 | + | 1.73175i | −0.469818 | + | 0.0783926i | ||||
\(489\) | 2.26921 | − | 15.7827i | 0.102617 | − | 0.713718i | ||||
\(490\) | −47.0462 | − | 15.8881i | −2.12533 | − | 0.717753i | ||||
\(491\) | 4.03900 | − | 6.28481i | 0.182278 | − | 0.283630i | −0.738075 | − | 0.674718i | \(-0.764265\pi\) |
0.920353 | + | 0.391089i | \(0.127901\pi\) | |||||||
\(492\) | −0.790825 | + | 9.84237i | −0.0356532 | + | 0.443728i | ||||
\(493\) | 14.7029 | − | 50.0736i | 0.662187 | − | 2.25520i | ||||
\(494\) | −9.28854 | + | 0.957407i | −0.417911 | + | 0.0430758i | ||||
\(495\) | 8.90548 | + | 10.2775i | 0.400272 | + | 0.461938i | ||||
\(496\) | 35.5929 | − | 15.5056i | 1.59817 | − | 0.696221i | ||||
\(497\) | 22.2670 | − | 48.7579i | 0.998812 | − | 2.18709i | ||||
\(498\) | −4.97966 | + | 2.03709i | −0.223144 | + | 0.0912841i | ||||
\(499\) | 5.28300 | + | 17.9923i | 0.236500 | + | 0.805444i | 0.989135 | + | 0.147007i | \(0.0469639\pi\) |
−0.752636 | + | 0.658437i | \(0.771218\pi\) | |||||||
\(500\) | −0.819447 | − | 3.93281i | −0.0366468 | − | 0.175881i | ||||
\(501\) | −8.57701 | + | 3.91699i | −0.383193 | + | 0.174998i | ||||
\(502\) | −16.0663 | + | 31.7475i | −0.717074 | + | 1.41696i | ||||
\(503\) | 5.35608 | − | 3.44214i | 0.238816 | − | 0.153478i | −0.415759 | − | 0.909475i | \(-0.636484\pi\) |
0.654575 | + | 0.755997i | \(0.272848\pi\) | |||||||
\(504\) | 10.0801 | − | 6.80380i | 0.449001 | − | 0.303065i | ||||
\(505\) | 16.6626 | 0.741476 | ||||||||
\(506\) | 0.242003 | − | 30.1741i | 0.0107584 | − | 1.34140i | ||||
\(507\) | 10.5570i | 0.468854i | ||||||||
\(508\) | 8.37270 | + | 3.20684i | 0.371479 | + | 0.142281i | ||||
\(509\) | 2.69351 | + | 4.19118i | 0.119388 | + | 0.185771i | 0.895804 | − | 0.444450i | \(-0.146601\pi\) |
−0.776416 | + | 0.630221i | \(0.782964\pi\) | |||||||
\(510\) | −26.1381 | − | 13.2275i | −1.15741 | − | 0.585726i | ||||
\(511\) | −10.8724 | − | 23.8072i | −0.480966 | − | 1.05317i | ||||
\(512\) | −18.1655 | + | 13.4912i | −0.802811 | + | 0.596234i | ||||
\(513\) | −4.05330 | + | 1.19016i | −0.178958 | + | 0.0525467i | ||||
\(514\) | 4.59662 | − | 1.88039i | 0.202748 | − | 0.0829406i | ||||
\(515\) | 3.74700 | + | 1.71120i | 0.165112 | + | 0.0754043i | ||||
\(516\) | 0.311717 | + | 4.97118i | 0.0137226 | + | 0.218844i | ||||
\(517\) | −27.0207 | + | 23.4136i | −1.18837 | + | 1.02973i | ||||
\(518\) | −3.14941 | − | 30.5548i | −0.138377 | − | 1.34250i | ||||
\(519\) | 20.1491 | + | 5.91630i | 0.884446 | + | 0.259697i | ||||
\(520\) | 8.61663 | − | 10.4091i | 0.377864 | − | 0.456468i | ||||
\(521\) | −25.5726 | − | 16.4345i | −1.12036 | − | 0.720009i | −0.156831 | − | 0.987626i | \(-0.550128\pi\) |
−0.963526 | + | 0.267616i | \(0.913764\pi\) | |||||||
\(522\) | 10.3181 | + | 3.48456i | 0.451610 | + | 0.152515i | ||||
\(523\) | −22.5741 | − | 3.24567i | −0.987098 | − | 0.141923i | −0.370188 | − | 0.928957i | \(-0.620707\pi\) |
−0.616910 | + | 0.787034i | \(0.711616\pi\) | |||||||
\(524\) | −25.5055 | − | 25.9572i | −1.11421 | − | 1.13395i | ||||
\(525\) | −18.4829 | + | 2.65744i | −0.806660 | + | 0.115980i | ||||
\(526\) | 0.000796543 | − | 0.0198590i | 3.47309e−5 | − | 0.000865895i | ||||
\(527\) | 43.0742 | − | 49.7102i | 1.87634 | − | 2.16541i | ||||
\(528\) | 13.6520 | − | 11.4162i | 0.594127 | − | 0.496826i | ||||
\(529\) | −8.19398 | + | 21.4909i | −0.356260 | + | 0.934387i | ||||
\(530\) | −3.95332 | + | 5.64087i | −0.171721 | + | 0.245024i | ||||
\(531\) | −0.0322012 | − | 0.0279025i | −0.00139741 | − | 0.00121087i | ||||
\(532\) | 22.0247 | − | 28.8895i | 0.954890 | − | 1.25252i | ||||
\(533\) | −7.63808 | + | 1.09819i | −0.330842 | + | 0.0475679i | ||||
\(534\) | 0.0884285 | − | 0.478109i | 0.00382668 | − | 0.0206898i | ||||
\(535\) | 4.29553 | − | 29.8760i | 0.185712 | − | 1.29165i | ||||
\(536\) | −0.155498 | − | 6.89927i | −0.00671649 | − | 0.298003i | ||||
\(537\) | −9.62081 | − | 6.18292i | −0.415168 | − | 0.266813i | ||||
\(538\) | 12.6382 | − | 7.42379i | 0.544871 | − | 0.320062i | ||||
\(539\) | 14.3988 | − | 49.0380i | 0.620202 | − | 2.11221i | ||||
\(540\) | 2.97673 | − | 5.33952i | 0.128098 | − | 0.229776i | ||||
\(541\) | −13.9199 | + | 12.0616i | −0.598462 | + | 0.518570i | −0.900574 | − | 0.434702i | \(-0.856854\pi\) |
0.302112 | + | 0.953272i | \(0.402308\pi\) | |||||||
\(542\) | −16.8515 | + | 13.4582i | −0.723833 | + | 0.578080i | ||||
\(543\) | 6.28713 | − | 13.7669i | 0.269806 | − | 0.590794i | ||||
\(544\) | −17.9078 | + | 33.8962i | −0.767792 | + | 1.45329i | ||||
\(545\) | −15.4550 | + | 4.53799i | −0.662019 | + | 0.194386i | ||||
\(546\) | 6.92754 | + | 6.50676i | 0.296471 | + | 0.278463i | ||||
\(547\) | −37.4425 | + | 17.0994i | −1.60093 | + | 0.731119i | −0.997785 | − | 0.0665144i | \(-0.978812\pi\) |
−0.603142 | + | 0.797634i | \(0.706085\pi\) | |||||||
\(548\) | −30.4313 | + | 16.2716i | −1.29996 | + | 0.695090i | ||||
\(549\) | −2.01125 | − | 3.12957i | −0.0858381 | − | 0.133567i | ||||
\(550\) | −26.5055 | + | 6.64138i | −1.13020 | + | 0.283189i | ||||
\(551\) | 32.5315 | 1.38589 | ||||||||
\(552\) | −12.7872 | + | 4.52622i | −0.544261 | + | 0.192649i | ||||
\(553\) | 64.8350 | 2.75706 | ||||||||
\(554\) | 42.7924 | − | 10.7223i | 1.81807 | − | 0.455547i | ||||
\(555\) | −8.34776 | − | 12.9894i | −0.354343 | − | 0.551368i | ||||
\(556\) | −3.08967 | − | 5.77831i | −0.131031 | − | 0.245055i | ||||
\(557\) | −8.65993 | + | 3.95486i | −0.366933 | + | 0.167573i | −0.590344 | − | 0.807152i | \(-0.701008\pi\) |
0.223411 | + | 0.974724i | \(0.428281\pi\) | |||||||
\(558\) | 10.0050 | + | 9.39731i | 0.423547 | + | 0.397820i | ||||
\(559\) | −3.73494 | + | 1.09668i | −0.157971 | + | 0.0463845i | ||||
\(560\) | 6.56697 | + | 52.1582i | 0.277505 | + | 2.20409i | ||||
\(561\) | 12.5251 | − | 27.4262i | 0.528811 | − | 1.15793i | ||||
\(562\) | 11.5716 | − | 9.24154i | 0.488120 | − | 0.389831i | ||||
\(563\) | −13.8163 | + | 11.9719i | −0.582287 | + | 0.504555i | −0.895460 | − | 0.445141i | \(-0.853153\pi\) |
0.313173 | + | 0.949696i | \(0.398608\pi\) | |||||||
\(564\) | 14.0382 | + | 7.82618i | 0.591116 | + | 0.329542i | ||||
\(565\) | −7.59646 | + | 25.8712i | −0.319586 | + | 1.08841i | ||||
\(566\) | −13.5642 | + | 7.96776i | −0.570148 | + | 0.334910i | ||||
\(567\) | 3.61714 | + | 2.32459i | 0.151905 | + | 0.0976237i | ||||
\(568\) | −35.2514 | + | 0.794507i | −1.47912 | + | 0.0333368i | ||||
\(569\) | −3.82495 | + | 26.6031i | −0.160350 | + | 1.11526i | 0.737623 | + | 0.675212i | \(0.235948\pi\) |
−0.897974 | + | 0.440049i | \(0.854961\pi\) | |||||||
\(570\) | 3.32111 | − | 17.9564i | 0.139106 | − | 0.752109i | ||||
\(571\) | −14.3037 | + | 2.05656i | −0.598591 | + | 0.0860644i | −0.434949 | − | 0.900455i | \(-0.643233\pi\) |
−0.163643 | + | 0.986520i | \(0.552324\pi\) | |||||||
\(572\) | 11.0602 | + | 8.43204i | 0.462450 | + | 0.352561i | ||||
\(573\) | −10.4190 | − | 9.02815i | −0.435262 | − | 0.377157i | ||||
\(574\) | 17.2295 | − | 24.5842i | 0.719146 | − | 1.02613i | ||||
\(575\) | 20.7000 | + | 2.30156i | 0.863251 | + | 0.0959816i | ||||
\(576\) | −6.91806 | − | 4.01752i | −0.288252 | − | 0.167397i | ||||
\(577\) | −5.35962 | + | 6.18533i | −0.223124 | + | 0.257499i | −0.856264 | − | 0.516539i | \(-0.827220\pi\) |
0.633140 | + | 0.774037i | \(0.281766\pi\) | |||||||
\(578\) | −1.63950 | + | 40.8752i | −0.0681941 | + | 1.70018i | ||||
\(579\) | −14.8854 | + | 2.14020i | −0.618617 | + | 0.0889437i | ||||
\(580\) | −33.5791 | + | 32.9948i | −1.39430 | + | 1.37003i | ||||
\(581\) | 16.1912 | + | 2.32795i | 0.671726 | + | 0.0965796i | ||||
\(582\) | 8.02412 | + | 2.70986i | 0.332610 | + | 0.112327i | ||||
\(583\) | −5.96418 | − | 3.83294i | −0.247011 | − | 0.158744i | ||||
\(584\) | −10.9785 | + | 13.2623i | −0.454293 | + | 0.548796i | ||||
\(585\) | 4.58397 | + | 1.34597i | 0.189524 | + | 0.0556492i | ||||
\(586\) | −1.11150 | − | 10.7835i | −0.0459157 | − | 0.445463i | ||||
\(587\) | −1.83263 | + | 1.58798i | −0.0756407 | + | 0.0655431i | −0.691861 | − | 0.722031i | \(-0.743209\pi\) |
0.616220 | + | 0.787574i | \(0.288663\pi\) | |||||||
\(588\) | −22.9298 | + | 1.43781i | −0.945608 | + | 0.0592942i | ||||
\(589\) | 37.2967 | + | 17.0328i | 1.53678 | + | 0.701825i | ||||
\(590\) | 0.170470 | − | 0.0697363i | 0.00701816 | − | 0.00287100i | ||||
\(591\) | 15.5012 | − | 4.55156i | 0.637633 | − | 0.187226i | ||||
\(592\) | −17.1875 | + | 10.6242i | −0.706404 | + | 0.436650i | ||||
\(593\) | 15.2780 | + | 33.4542i | 0.627393 | + | 1.37380i | 0.910018 | + | 0.414569i | \(0.136068\pi\) |
−0.282624 | + | 0.959231i | \(0.591205\pi\) | |||||||
\(594\) | 5.61399 | + | 2.84104i | 0.230345 | + | 0.116569i | ||||
\(595\) | 48.1524 | + | 74.9265i | 1.97405 | + | 3.07169i | ||||
\(596\) | 4.87929 | − | 12.7393i | 0.199863 | − | 0.521820i | ||||
\(597\) | 17.2902i | 0.707640i | ||||||||
\(598\) | −5.65952 | − | 8.96364i | −0.231435 | − | 0.366551i | ||||
\(599\) | 5.49196 | 0.224395 | 0.112198 | − | 0.993686i | \(-0.464211\pi\) | ||||
0.112198 | + | 0.993686i | \(0.464211\pi\) | |||||||
\(600\) | 6.87209 | + | 10.1812i | 0.280552 | + | 0.415647i | ||||
\(601\) | 8.25357 | − | 5.30425i | 0.336670 | − | 0.216365i | −0.361371 | − | 0.932422i | \(-0.617691\pi\) |
0.698042 | + | 0.716057i | \(0.254055\pi\) | |||||||
\(602\) | 6.83798 | − | 13.5121i | 0.278695 | − | 0.550711i | ||||
\(603\) | 2.21939 | − | 1.01356i | 0.0903807 | − | 0.0412755i | ||||
\(604\) | −15.0862 | + | 3.14338i | −0.613847 | + | 0.127902i | ||||
\(605\) | −7.57308 | − | 25.7915i | −0.307889 | − | 1.04857i | ||||
\(606\) | 7.13540 | − | 2.91896i | 0.289856 | − | 0.118575i | ||||
\(607\) | −5.76615 | + | 12.6261i | −0.234041 | + | 0.512478i | −0.989816 | − | 0.142353i | \(-0.954533\pi\) |
0.755775 | + | 0.654831i | \(0.227260\pi\) | |||||||
\(608\) | −23.4185 | − | 4.75794i | −0.949746 | − | 0.192960i | ||||
\(609\) | −21.6832 | − | 25.0237i | −0.878647 | − | 1.01401i | ||||
\(610\) | 15.9962 | − | 1.64880i | 0.647668 | − | 0.0667578i | ||||
\(611\) | −3.53873 | + | 12.0518i | −0.143161 | + | 0.487563i | ||||
\(612\) | −13.5103 | − | 1.08554i | −0.546120 | − | 0.0438802i | ||||
\(613\) | 5.58325 | − | 8.68770i | 0.225505 | − | 0.350893i | −0.710003 | − | 0.704199i | \(-0.751306\pi\) |
0.935508 | + | 0.353306i | \(0.114943\pi\) | |||||||
\(614\) | −38.6863 | − | 13.0649i | −1.56125 | − | 0.527256i | ||||
\(615\) | 2.14762 | − | 14.9370i | 0.0866004 | − | 0.602319i | ||||
\(616\) | −53.3690 | + | 8.90500i | −2.15030 | + | 0.358793i | ||||
\(617\) | −2.50992 | − | 17.4569i | −0.101046 | − | 0.702788i | −0.975871 | − | 0.218349i | \(-0.929933\pi\) |
0.874825 | − | 0.484439i | \(-0.160976\pi\) | |||||||
\(618\) | 1.90434 | + | 0.0763827i | 0.0766037 | + | 0.00307256i | ||||
\(619\) | 5.30923 | + | 4.60047i | 0.213396 | + | 0.184909i | 0.754999 | − | 0.655725i | \(-0.227637\pi\) |
−0.541603 | + | 0.840634i | \(0.682183\pi\) | |||||||
\(620\) | −55.7732 | + | 20.2465i | −2.23991 | + | 0.813120i | ||||
\(621\) | −3.25520 | − | 3.52189i | −0.130627 | − | 0.141328i | ||||
\(622\) | −14.3604 | + | 20.4904i | −0.575799 | + | 0.821588i | ||||
\(623\) | −0.968061 | + | 1.11720i | −0.0387845 | + | 0.0447597i | ||||
\(624\) | 1.86642 | − | 5.96692i | 0.0747166 | − | 0.238868i | ||||
\(625\) | 3.96402 | + | 27.5704i | 0.158561 | + | 1.10282i | ||||
\(626\) | 18.7711 | + | 3.47180i | 0.750244 | + | 0.138761i | ||||
\(627\) | 18.6034 | + | 2.67477i | 0.742950 | + | 0.106820i | ||||
\(628\) | −1.63975 | + | 1.20519i | −0.0654330 | + | 0.0480922i | ||||
\(629\) | −18.5081 | + | 28.7991i | −0.737965 | + | 1.14830i | ||||
\(630\) | −16.0259 | + | 9.41379i | −0.638489 | + | 0.375054i | ||||
\(631\) | 5.65511 | + | 1.66049i | 0.225126 | + | 0.0661030i | 0.392350 | − | 0.919816i | \(-0.371662\pi\) |
−0.167224 | + | 0.985919i | \(0.553480\pi\) | |||||||
\(632\) | −18.5870 | − | 38.3865i | −0.739352 | − | 1.52693i | ||||
\(633\) | 4.38305 | + | 5.05831i | 0.174211 | + | 0.201050i | ||||
\(634\) | 19.9609 | + | 24.9937i | 0.792749 | + | 0.992627i | ||||
\(635\) | −12.4642 | − | 5.69223i | −0.494628 | − | 0.225889i | ||||
\(636\) | −0.704757 | + | 3.10812i | −0.0279454 | + | 0.123245i | ||||
\(637\) | −5.05847 | − | 17.2276i | −0.200424 | − | 0.682580i | ||||
\(638\) | −35.3172 | − | 33.1720i | −1.39822 | − | 1.31329i | ||||
\(639\) | −5.17874 | − | 11.3399i | −0.204868 | − | 0.448598i | ||||
\(640\) | 28.9984 | − | 18.8409i | 1.14626 | − | 0.744751i | ||||
\(641\) | 28.3663 | − | 18.2299i | 1.12040 | − | 0.720039i | 0.156867 | − | 0.987620i | \(-0.449861\pi\) |
0.963535 | + | 0.267581i | \(0.0862243\pi\) | |||||||
\(642\) | −3.39422 | − | 13.5462i | −0.133959 | − | 0.534628i | ||||
\(643\) | − | 3.77024i | − | 0.148684i | −0.997233 | − | 0.0743418i | \(-0.976314\pi\) | ||
0.997233 | − | 0.0743418i | \(-0.0236856\pi\) | |||||||
\(644\) | 40.4920 | + | 7.82555i | 1.59561 | + | 0.308370i | ||||
\(645\) | − | 7.61239i | − | 0.299738i | ||||||
\(646\) | −39.2727 | + | 9.84039i | −1.54516 | + | 0.387165i | ||||
\(647\) | −2.43144 | + | 1.56259i | −0.0955898 | + | 0.0614319i | −0.587562 | − | 0.809179i | \(-0.699912\pi\) |
0.491973 | + | 0.870611i | \(0.336276\pi\) | |||||||
\(648\) | 0.339342 | − | 2.80800i | 0.0133306 | − | 0.110309i | ||||
\(649\) | 0.0787491 | + | 0.172436i | 0.00309117 | + | 0.00676872i | ||||
\(650\) | −6.57206 | + | 6.99707i | −0.257778 | + | 0.274448i | ||||
\(651\) | −11.7574 | − | 40.0421i | −0.460810 | − | 1.56937i | ||||
\(652\) | 31.1005 | + | 7.05193i | 1.21799 | + | 0.276175i | ||||
\(653\) | −4.52421 | − | 2.06614i | −0.177046 | − | 0.0808542i | 0.324920 | − | 0.945741i | \(-0.394663\pi\) |
−0.501966 | + | 0.864887i | \(0.667390\pi\) | |||||||
\(654\) | −5.82329 | + | 4.65070i | −0.227709 | + | 0.181857i | ||||
\(655\) | 36.4211 | + | 42.0322i | 1.42309 | + | 1.64233i | ||||
\(656\) | −19.4948 | − | 3.15314i | −0.761145 | − | 0.123109i | ||||
\(657\) | −5.84046 | − | 1.71491i | −0.227858 | − | 0.0669051i | ||||
\(658\) | −24.7500 | − | 42.1341i | −0.964854 | − | 1.64256i | ||||
\(659\) | 6.45190 | − | 10.0393i | 0.251330 | − | 0.391077i | −0.692548 | − | 0.721372i | \(-0.743512\pi\) |
0.943878 | + | 0.330295i | \(0.107148\pi\) | |||||||
\(660\) | −21.9154 | + | 16.1075i | −0.853057 | + | 0.626983i | ||||
\(661\) | 40.1955 | + | 5.77923i | 1.56342 | + | 0.224786i | 0.869011 | − | 0.494792i | \(-0.164756\pi\) |
0.694411 | + | 0.719579i | \(0.255665\pi\) | |||||||
\(662\) | 3.37622 | − | 18.2543i | 0.131220 | − | 0.709473i | ||||
\(663\) | −1.50744 | − | 10.4845i | −0.0585443 | − | 0.407184i | ||||
\(664\) | −3.26344 | − | 10.2536i | −0.126646 | − | 0.397918i | ||||
\(665\) | −36.3575 | + | 41.9588i | −1.40988 | + | 1.62709i | ||||
\(666\) | −5.85023 | − | 4.10005i | −0.226692 | − | 0.158874i | ||||
\(667\) | 16.4112 | + | 33.0851i | 0.635446 | + | 1.28106i | ||||
\(668\) | −6.43493 | − | 17.7264i | −0.248975 | − | 0.685853i | ||||
\(669\) | −10.2724 | − | 8.90112i | −0.397155 | − | 0.344137i | ||||
\(670\) | −0.422694 | + | 10.5384i | −0.0163301 | + | 0.407134i | ||||
\(671\) | 2.35546 | + | 16.3826i | 0.0909317 | + | 0.632444i | ||||
\(672\) | 11.9492 | + | 21.1852i | 0.460952 | + | 0.817237i | ||||
\(673\) | 3.31937 | − | 23.0867i | 0.127952 | − | 0.889927i | −0.820193 | − | 0.572088i | \(-0.806134\pi\) |
0.948145 | − | 0.317839i | \(-0.102957\pi\) | |||||||
\(674\) | 1.34431 | − | 3.98062i | 0.0517809 | − | 0.153328i | ||||
\(675\) | −2.34792 | + | 3.65344i | −0.0903716 | + | 0.140621i | ||||
\(676\) | −21.0462 | − | 1.69104i | −0.809470 | − | 0.0650401i | ||||
\(677\) | 5.39066 | − | 18.3589i | 0.207180 | − | 0.705589i | −0.788690 | − | 0.614792i | \(-0.789240\pi\) |
0.995869 | − | 0.0907978i | \(-0.0289417\pi\) | |||||||
\(678\) | 1.27910 | + | 12.4095i | 0.0491235 | + | 0.476585i | ||||
\(679\) | −16.8625 | − | 19.4604i | −0.647123 | − | 0.746820i | ||||
\(680\) | 30.5569 | − | 49.9894i | 1.17181 | − | 1.91701i | ||||
\(681\) | −10.3429 | + | 22.6477i | −0.396339 | + | 0.867862i | ||||
\(682\) | −23.1223 | − | 56.5224i | −0.885398 | − | 2.16436i | ||||
\(683\) | 5.87295 | + | 20.0014i | 0.224722 | + | 0.765333i | 0.992243 | + | 0.124310i | \(0.0396717\pi\) |
−0.767521 | + | 0.641023i | \(0.778510\pi\) | |||||||
\(684\) | −1.72340 | − | 8.27121i | −0.0658960 | − | 0.316258i | ||||
\(685\) | 47.9734 | − | 21.9087i | 1.83297 | − | 0.837088i | ||||
\(686\) | 24.3465 | + | 12.3209i | 0.929552 | + | 0.470413i | ||||
\(687\) | −3.11424 | + | 2.00140i | −0.118816 | + | 0.0763581i | ||||
\(688\) | −9.96035 | − | 0.174861i | −0.379735 | − | 0.00666651i | ||||
\(689\) | −2.49066 | −0.0948867 | ||||||||
\(690\) | 19.9374 | − | 5.68086i | 0.759003 | − | 0.216267i | ||||
\(691\) | 17.6219i | 0.670368i | 0.942153 | + | 0.335184i | \(0.108799\pi\) | ||||
−0.942153 | + | 0.335184i | \(0.891201\pi\) | |||||||
\(692\) | −15.0221 | + | 39.2210i | −0.571055 | + | 1.49096i | ||||
\(693\) | −10.3423 | − | 16.0929i | −0.392870 | − | 0.611318i | ||||
\(694\) | 2.07397 | − | 4.09824i | 0.0787270 | − | 0.155567i | ||||
\(695\) | 4.16004 | + | 9.10922i | 0.157799 | + | 0.345532i | ||||
\(696\) | −8.59949 | + | 20.0117i | −0.325963 | + | 0.758541i | ||||
\(697\) | −32.1026 | + | 9.42617i | −1.21597 | + | 0.357042i | ||||
\(698\) | 0.328714 | + | 0.803541i | 0.0124420 | + | 0.0304145i | ||||
\(699\) | −19.3404 | − | 8.83247i | −0.731521 | − | 0.334075i | ||||
\(700\) | −2.33718 | − | 37.2727i | −0.0883371 | − | 1.40878i | ||||
\(701\) | −2.67368 | + | 2.31675i | −0.100983 | + | 0.0875025i | −0.703889 | − | 0.710310i | \(-0.748555\pi\) |
0.602906 | + | 0.797812i | \(0.294009\pi\) | |||||||
\(702\) | 2.19877 | − | 0.226636i | 0.0829873 | − | 0.00855383i | ||||
\(703\) | −20.4753 | − | 6.01210i | −0.772241 | − | 0.226751i | ||||
\(704\) | 20.5722 | + | 29.0450i | 0.775346 | + | 1.09467i | ||||
\(705\) | −20.6641 | − | 13.2800i | −0.778255 | − | 0.500154i | ||||
\(706\) | 0.0221039 | − | 0.0654516i | 0.000831892 | − | 0.00246330i | ||||
\(707\) | −23.2005 | − | 3.33573i | −0.872546 | − | 0.125453i | ||||
\(708\) | 0.0607838 | − | 0.0597261i | 0.00228440 | − | 0.00224464i | ||||
\(709\) | 36.6166 | − | 5.26468i | 1.37517 | − | 0.197719i | 0.585210 | − | 0.810882i | \(-0.301012\pi\) |
0.789957 | + | 0.613163i | \(0.210103\pi\) | |||||||
\(710\) | 53.8453 | + | 2.15973i | 2.02078 | + | 0.0810531i | ||||
\(711\) | 9.87462 | − | 11.3959i | 0.370327 | − | 0.427380i | ||||
\(712\) | 0.938981 | + | 0.252873i | 0.0351898 | + | 0.00947682i | ||||
\(713\) | 1.49246 | + | 46.5241i | 0.0558931 | + | 1.74234i | ||||
\(714\) | 33.7458 | + | 23.6503i | 1.26291 | + | 0.885090i | ||||
\(715\) | −16.0637 | − | 13.9193i | −0.600749 | − | 0.520552i | ||||
\(716\) | 13.8672 | − | 18.1894i | 0.518241 | − | 0.679770i | ||||
\(717\) | 17.7350 | − | 2.54991i | 0.662326 | − | 0.0952281i | ||||
\(718\) | −39.7076 | − | 7.34411i | −1.48188 | − | 0.274080i | ||||
\(719\) | −0.0402410 | + | 0.279882i | −0.00150074 | + | 0.0104379i | −0.990558 | − | 0.137094i | \(-0.956224\pi\) |
0.989057 | + | 0.147532i | \(0.0471329\pi\) | |||||||
\(720\) | 10.1679 | + | 6.78963i | 0.378936 | + | 0.253035i | ||||
\(721\) | −4.87464 | − | 3.13274i | −0.181541 | − | 0.116669i | ||||
\(722\) | 0.826772 | + | 1.40749i | 0.0307693 | + | 0.0523813i | ||||
\(723\) | 2.28959 | − | 7.79763i | 0.0851508 | − | 0.289997i | ||||
\(724\) | 26.4382 | + | 14.7391i | 0.982570 | + | 0.547773i | ||||
\(725\) | 25.2749 | − | 21.9008i | 0.938686 | − | 0.813376i | ||||
\(726\) | −7.76117 | − | 9.71800i | −0.288044 | − | 0.360669i | ||||
\(727\) | 12.5098 | − | 27.3926i | 0.463962 | − | 1.01594i | −0.522604 | − | 0.852575i | \(-0.675039\pi\) |
0.986566 | − | 0.163360i | \(-0.0522333\pi\) | |||||||
\(728\) | −14.0814 | + | 12.7683i | −0.521890 | + | 0.473225i | ||||
\(729\) | 0.959493 | − | 0.281733i | 0.0355368 | − | 0.0104345i | ||||
\(730\) | 18.0141 | − | 19.1790i | 0.666730 | − | 0.709847i | ||||
\(731\) | −15.3525 | + | 7.01124i | −0.567832 | + | 0.259320i | ||||
\(732\) | 6.56120 | − | 3.50828i | 0.242509 | − | 0.129670i | ||||
\(733\) | 5.71613 | + | 8.89447i | 0.211130 | + | 0.328525i | 0.930626 | − | 0.365972i | \(-0.119263\pi\) |
−0.719496 | + | 0.694497i | \(0.755627\pi\) | |||||||
\(734\) | −1.90808 | − | 7.61509i | −0.0704285 | − | 0.281078i | ||||
\(735\) | 35.1125 | 1.29514 | ||||||||
\(736\) | −6.97509 | − | 26.2173i | −0.257105 | − | 0.966383i | ||||
\(737\) | −10.8552 | −0.399856 | ||||||||
\(738\) | −1.69700 | − | 6.77267i | −0.0624674 | − | 0.249305i | ||||
\(739\) | 1.00644 | + | 1.56606i | 0.0370226 | + | 0.0576083i | 0.859272 | − | 0.511520i | \(-0.170917\pi\) |
−0.822249 | + | 0.569128i | \(0.807281\pi\) | |||||||
\(740\) | 27.2325 | − | 14.5612i | 1.00108 | − | 0.535282i | ||||
\(741\) | 6.00611 | − | 2.74290i | 0.220640 | − | 0.100763i | ||||
\(742\) | 6.63376 | − | 7.06275i | 0.243533 | − | 0.259282i | ||||
\(743\) | −19.2811 | + | 5.66144i | −0.707355 | + | 0.207698i | −0.615572 | − | 0.788081i | \(-0.711075\pi\) |
−0.0917832 | + | 0.995779i | \(0.529257\pi\) | |||||||
\(744\) | −20.3369 | + | 18.4405i | −0.745586 | + | 0.676061i | ||||
\(745\) | −8.66085 | + | 18.9646i | −0.317309 | + | 0.694810i | ||||
\(746\) | −4.50911 | − | 5.64600i | −0.165090 | − | 0.206715i | ||||
\(747\) | 2.87517 | − | 2.49135i | 0.105197 | − | 0.0911536i | ||||
\(748\) | 52.6699 | + | 29.3629i | 1.92580 | + | 1.07362i | ||||
\(749\) | −11.9619 | + | 40.7386i | −0.437080 | + | 1.48856i | ||||
\(750\) | 1.43876 | + | 2.44933i | 0.0525361 | + | 0.0894369i | ||||
\(751\) | −12.7873 | − | 8.21787i | −0.466614 | − | 0.299874i | 0.286127 | − | 0.958192i | \(-0.407632\pi\) |
−0.752741 | + | 0.658317i | \(0.771269\pi\) | |||||||
\(752\) | −17.8507 | + | 26.7327i | −0.650950 | + | 0.974840i | ||||
\(753\) | 3.58061 | − | 24.9037i | 0.130485 | − | 0.907541i | ||||
\(754\) | −16.7381 | − | 3.09580i | −0.609567 | − | 0.112742i | ||||
\(755\) | 23.3117 | − | 3.35172i | 0.848399 | − | 0.121981i | ||||
\(756\) | −5.21365 | + | 6.83868i | −0.189619 | + | 0.248720i | ||||
\(757\) | 5.50446 | + | 4.76964i | 0.200063 | + | 0.173356i | 0.749131 | − | 0.662422i | \(-0.230472\pi\) |
−0.549068 | + | 0.835778i | \(0.685017\pi\) | |||||||
\(758\) | −39.1191 | − | 27.4161i | −1.42087 | − | 0.995798i | ||||
\(759\) | 6.66464 | + | 20.2694i | 0.241911 | + | 0.735733i | ||||
\(760\) | 35.2654 | + | 9.49717i | 1.27921 | + | 0.344499i | ||||
\(761\) | −6.34480 | + | 7.32229i | −0.229999 | + | 0.265433i | −0.859005 | − | 0.511968i | \(-0.828917\pi\) |
0.629006 | + | 0.777401i | \(0.283462\pi\) | |||||||
\(762\) | −6.33470 | − | 0.254084i | −0.229482 | − | 0.00920450i | ||||
\(763\) | 22.4276 | − | 3.22460i | 0.811932 | − | 0.116738i | ||||
\(764\) | 19.6672 | − | 19.3250i | 0.711536 | − | 0.699154i | ||||
\(765\) | 20.5035 | + | 2.94796i | 0.741305 | + | 0.106584i | ||||
\(766\) | 3.92931 | − | 11.6350i | 0.141972 | − | 0.420391i | ||||
\(767\) | 0.0560249 | + | 0.0360050i | 0.00202294 | + | 0.00130007i | ||||
\(768\) | 9.11738 | − | 13.1481i | 0.328995 | − | 0.474442i | ||||
\(769\) | −28.2951 | − | 8.30819i | −1.02035 | − | 0.299601i | −0.271567 | − | 0.962419i | \(-0.587542\pi\) |
−0.748780 | + | 0.662818i | \(0.769360\pi\) | |||||||
\(770\) | 82.2558 | − | 8.47844i | 2.96429 | − | 0.305542i | ||||
\(771\) | −2.65401 | + | 2.29971i | −0.0955817 | + | 0.0828220i | ||||
\(772\) | −1.88228 | − | 30.0180i | −0.0677446 | − | 1.08037i | ||||
\(773\) | −24.8174 | − | 11.3337i | −0.892619 | − | 0.407645i | −0.0843345 | − | 0.996437i | \(-0.526876\pi\) |
−0.808285 | + | 0.588792i | \(0.799604\pi\) | |||||||
\(774\) | −1.33354 | − | 3.25984i | −0.0479331 | − | 0.117173i | ||||
\(775\) | 40.4440 | − | 11.8754i | 1.45279 | − | 0.426578i | ||||
\(776\) | −6.68762 | + | 15.5626i | −0.240071 | + | 0.558665i | ||||
\(777\) | 9.02281 | + | 19.7572i | 0.323691 | + | 0.708785i | ||||
\(778\) | 0.937224 | − | 1.85199i | 0.0336011 | − | 0.0663969i | ||||
\(779\) | −11.2757 | − | 17.5453i | −0.403994 | − | 0.628627i | ||||
\(780\) | −3.41757 | + | 8.92288i | −0.122369 | + | 0.319490i | ||||
\(781\) | 55.4639i | 1.98465i | ||||||||
\(782\) | −29.8199 | − | 34.9769i | −1.06636 | − | 1.25077i | ||||
\(783\) | −7.70080 | −0.275204 | ||||||||
\(784\) | 0.806554 | − | 45.9425i | 0.0288055 | − | 1.64080i | ||||
\(785\) | 2.61639 | − | 1.68145i | 0.0933829 | − | 0.0600135i | ||||
\(786\) | 22.9598 | + | 11.6191i | 0.818947 | + | 0.414440i | ||||
\(787\) | 15.9160 | − | 7.26860i | 0.567345 | − | 0.259098i | −0.111026 | − | 0.993818i | \(-0.535414\pi\) |
0.678371 | + | 0.734720i | \(0.262686\pi\) | |||||||
\(788\) | 6.59086 | + | 31.6318i | 0.234790 | + | 1.12684i | ||||
\(789\) | 0.00395940 | + | 0.0134845i | 0.000140958 | + | 0.000480060i | ||||
\(790\) | 24.6795 | + | 60.3290i | 0.878057 | + | 2.14641i | ||||
\(791\) | 15.7563 | − | 34.5015i | 0.560230 | − | 1.22673i | ||||
\(792\) | −6.56309 | + | 10.7368i | −0.233209 | + | 0.381516i | ||||
\(793\) | 3.80773 | + | 4.39436i | 0.135217 | + | 0.156048i | ||||
\(794\) | 4.32559 | + | 41.9659i | 0.153510 | + | 1.48931i | ||||
\(795\) | 1.37224 | − | 4.67344i | 0.0486685 | − | 0.165750i | ||||
\(796\) | −34.4693 | − | 2.76957i | −1.22173 | − | 0.0981648i | ||||
\(797\) | 22.7736 | − | 35.4364i | 0.806682 | − | 1.25522i | −0.156848 | − | 0.987623i | \(-0.550133\pi\) |
0.963530 | − | 0.267599i | \(-0.0862303\pi\) | |||||||
\(798\) | −8.21896 | + | 24.3370i | −0.290948 | + | 0.861522i | ||||
\(799\) | −7.75052 | + | 53.9061i | −0.274194 | + | 1.90706i | ||||
\(800\) | −21.3978 | + | 12.0692i | −0.756528 | + | 0.426710i | ||||
\(801\) | 0.0489289 | + | 0.340308i | 0.00172882 | + | 0.0120242i | ||||
\(802\) | 1.03531 | − | 25.8118i | 0.0365581 | − | 0.911448i | ||||
\(803\) | 20.4669 | + | 17.7347i | 0.722261 | + | 0.625842i | ||||
\(804\) | 1.66511 | + | 4.58688i | 0.0587238 | + | 0.161767i | ||||
\(805\) | −61.0143 | − | 15.8092i | −2.15047 | − | 0.557201i | ||||
\(806\) | −17.5690 | − | 12.3130i | −0.618843 | − | 0.433708i | ||||
\(807\) | −6.78715 | + | 7.83279i | −0.238919 | + | 0.275727i | ||||
\(808\) | 4.67620 | + | 14.6925i | 0.164508 | + | 0.516881i | ||||
\(809\) | −1.17526 | − | 8.17415i | −0.0413201 | − | 0.287388i | −0.999996 | − | 0.00288662i | \(-0.999081\pi\) |
0.958676 | − | 0.284501i | \(-0.0918279\pi\) | |||||||
\(810\) | −0.786170 | + | 4.25061i | −0.0276232 | + | 0.149351i | ||||
\(811\) | −7.82595 | − | 1.12520i | −0.274806 | − | 0.0395112i | 0.00353380 | − | 0.999994i | \(-0.498875\pi\) |
−0.278340 | + | 0.960483i | \(0.589784\pi\) | |||||||
\(812\) | 53.3599 | − | 39.2187i | 1.87257 | − | 1.37631i | ||||
\(813\) | 8.24451 | − | 12.8287i | 0.289148 | − | 0.449923i | ||||
\(814\) | 16.0982 | + | 27.4054i | 0.564241 | + | 0.960559i | ||||
\(815\) | −46.7633 | − | 13.7310i | −1.63805 | − | 0.480974i | ||||
\(816\) | 4.32819 | − | 26.7598i | 0.151517 | − | 0.936781i | ||||
\(817\) | −6.88966 | − | 7.95109i | −0.241039 | − | 0.278174i | ||||
\(818\) | −24.0427 | + | 19.2014i | −0.840633 | + | 0.671362i | ||||
\(819\) | −6.11313 | − | 2.79177i | −0.213610 | − | 0.0975524i | ||||
\(820\) | 29.4341 | + | 6.67408i | 1.02788 | + | 0.233069i | ||||
\(821\) | −8.77825 | − | 29.8960i | −0.306363 | − | 1.04338i | −0.958457 | − | 0.285238i | \(-0.907927\pi\) |
0.652094 | − | 0.758138i | \(-0.273891\pi\) | |||||||
\(822\) | 16.7056 | − | 17.7859i | 0.582674 | − | 0.620354i | ||||
\(823\) | 12.2804 | + | 26.8903i | 0.428067 | + | 0.937336i | 0.993636 | + | 0.112635i | \(0.0359292\pi\) |
−0.565569 | + | 0.824701i | \(0.691343\pi\) | |||||||
\(824\) | −0.457315 | + | 3.78420i | −0.0159313 | + | 0.131829i | ||||
\(825\) | 16.2544 | − | 10.4461i | 0.565906 | − | 0.363685i | ||||
\(826\) | −0.251319 | + | 0.0629719i | −0.00874450 | + | 0.00219107i | ||||
\(827\) | − | 40.3877i | − | 1.40442i | −0.711971 | − | 0.702208i | \(-0.752197\pi\) | ||
0.711971 | − | 0.702208i | \(-0.247803\pi\) | |||||||
\(828\) | 7.54257 | − | 5.92534i | 0.262122 | − | 0.205920i | ||||
\(829\) | − | 8.00476i | − | 0.278017i | −0.990291 | − | 0.139008i | \(-0.955608\pi\) | ||
0.990291 | − | 0.139008i | \(-0.0443915\pi\) | |||||||
\(830\) | 3.99705 | + | 15.9521i | 0.138739 | + | 0.553705i | ||||
\(831\) | −26.2422 | + | 16.8649i | −0.910333 | + | 0.585036i | ||||
\(832\) | 11.5965 | + | 4.67664i | 0.402038 | + | 0.162133i | ||||
\(833\) | −32.3396 | − | 70.8139i | −1.12050 | − | 2.45356i | ||||
\(834\) | 3.37720 | + | 3.17207i | 0.116943 | + | 0.109840i | ||||
\(835\) | 8.11984 | + | 27.6536i | 0.280998 | + | 0.956993i | ||||
\(836\) | −8.31229 | + | 36.6589i | −0.287486 | + | 1.26787i | ||||
\(837\) | −8.82882 | − | 4.03199i | −0.305169 | − | 0.139366i | ||||
\(838\) | 31.0551 | + | 38.8851i | 1.07278 | + | 1.34326i | ||||
\(839\) | −33.5044 | − | 38.6661i | −1.15670 | − | 1.33490i | −0.932844 | − | 0.360282i | \(-0.882681\pi\) |
−0.223857 | − | 0.974622i | \(-0.571865\pi\) | |||||||
\(840\) | −16.2000 | − | 33.4568i | −0.558954 | − | 1.15437i | ||||
\(841\) | 29.0749 | + | 8.53717i | 1.00258 | + | 0.294385i | ||||
\(842\) | 23.0545 | − | 13.5424i | 0.794511 | − | 0.466703i | ||||
\(843\) | −5.66137 | + | 8.80927i | −0.194988 | + | 0.303407i | ||||
\(844\) | −10.7862 | + | 7.92769i | −0.371276 | + | 0.272882i | ||||
\(845\) | 31.9402 | + | 4.59231i | 1.09878 | + | 0.157980i | ||||
\(846\) | −11.1753 | − | 2.06693i | −0.384216 | − | 0.0710626i | ||||
\(847\) | 5.38126 | + | 37.4275i | 0.184902 | + | 1.28602i | ||||
\(848\) | −6.08338 | − | 1.90285i | −0.208904 | − | 0.0653441i | ||||
\(849\) | 7.28448 | − | 8.40674i | 0.250003 | − | 0.288519i | ||||
\(850\) | −23.8877 | + | 34.0845i | −0.819341 | + | 1.16909i | ||||
\(851\) | −4.21483 | − | 23.8567i | −0.144483 | − | 0.817799i | ||||
\(852\) | 23.4364 | − | 8.50776i | 0.802917 | − | 0.291471i | ||||
\(853\) | 15.0777 | + | 13.0649i | 0.516250 | + | 0.447333i | 0.873605 | − | 0.486635i | \(-0.161776\pi\) |
−0.357355 | + | 0.933969i | \(0.616321\pi\) | |||||||
\(854\) | −22.6028 | − | 0.906594i | −0.773451 | − | 0.0310230i | ||||
\(855\) | 1.83763 | + | 12.7810i | 0.0628455 | + | 0.437100i | ||||
\(856\) | 27.5492 | − | 4.59678i | 0.941611 | − | 0.157115i | ||||
\(857\) | 3.69701 | − | 25.7132i | 0.126287 | − | 0.878347i | −0.823915 | − | 0.566713i | \(-0.808215\pi\) |
0.950202 | − | 0.311634i | \(-0.100876\pi\) | |||||||
\(858\) | −9.31733 | − | 3.14659i | −0.318088 | − | 0.107423i | ||||
\(859\) | −5.68827 | + | 8.85113i | −0.194081 | + | 0.301997i | −0.924632 | − | 0.380862i | \(-0.875627\pi\) |
0.730550 | + | 0.682859i | \(0.239264\pi\) | |||||||
\(860\) | 15.1759 | + | 1.21937i | 0.517493 | + | 0.0415801i | ||||
\(861\) | −5.98057 | + | 20.3679i | −0.203817 | + | 0.694137i | ||||
\(862\) | 20.9319 | − | 2.15754i | 0.712944 | − | 0.0734860i | ||||
\(863\) | 7.31051 | + | 8.43677i | 0.248853 | + | 0.287191i | 0.866409 | − | 0.499336i | \(-0.166423\pi\) |
−0.617556 | + | 0.786527i | \(0.711877\pi\) | |||||||
\(864\) | 5.54360 | + | 1.12629i | 0.188597 | + | 0.0383173i | ||||
\(865\) | 26.6646 | − | 58.3873i | 0.906624 | − | 1.98523i | ||||
\(866\) | 6.50894 | − | 2.66269i | 0.221183 | − | 0.0904817i | ||||
\(867\) | −8.14949 | − | 27.7546i | −0.276771 | − | 0.942596i | ||||
\(868\) | 81.7103 | − | 17.0253i | 2.77343 | − | 0.577876i | ||||
\(869\) | −61.0248 | + | 27.8691i | −2.07012 | + | 0.945394i | ||||
\(870\) | 15.0309 | − | 29.7015i | 0.509595 | − | 1.00698i | ||||
\(871\) | −3.20816 | + | 2.06176i | −0.108704 | + | 0.0698599i | ||||
\(872\) | −8.33874 | − | 12.3541i | −0.282385 | − | 0.418364i | ||||
\(873\) | −5.98873 | −0.202688 | ||||||||
\(874\) | 15.6829 | − | 23.9781i | 0.530483 | − | 0.811072i | ||||
\(875\) | − | 8.63653i | − | 0.291968i | ||||||
\(876\) | 4.35434 | − | 11.3687i | 0.147120 | − | 0.384112i | ||||
\(877\) | −21.2655 | − | 33.0898i | −0.718085 | − | 1.11736i | −0.987996 | − | 0.154477i | \(-0.950631\pi\) |
0.269911 | − | 0.962885i | \(-0.413006\pi\) | |||||||
\(878\) | 17.4753 | + | 8.84365i | 0.589764 | + | 0.298459i | ||||
\(879\) | 3.18436 | + | 6.97279i | 0.107406 | + | 0.235186i | ||||
\(880\) | −28.6010 | − | 46.2702i | −0.964141 | − | 1.55977i | ||||
\(881\) | −7.34472 | + | 2.15660i | −0.247450 | + | 0.0726578i | −0.403105 | − | 0.915154i | \(-0.632069\pi\) |
0.155656 | + | 0.987811i | \(0.450251\pi\) | |||||||
\(882\) | 15.0362 | − | 6.15101i | 0.506294 | − | 0.207115i | ||||
\(883\) | −4.51069 | − | 2.05997i | −0.151797 | − | 0.0693233i | 0.338068 | − | 0.941122i | \(-0.390227\pi\) |
−0.489865 | + | 0.871798i | \(0.662954\pi\) | |||||||
\(884\) | 21.1431 | − | 1.32578i | 0.711119 | − | 0.0445907i | ||||
\(885\) | −0.0984265 | + | 0.0852871i | −0.00330857 | + | 0.00286689i | ||||
\(886\) | 3.76350 | + | 36.5126i | 0.126437 | + | 1.22667i | ||||
\(887\) | 17.1493 | + | 5.03547i | 0.575815 | + | 0.169075i | 0.556658 | − | 0.830742i | \(-0.312083\pi\) |
0.0191575 | + | 0.999816i | \(0.493902\pi\) | |||||||
\(888\) | 9.11086 | − | 11.0061i | 0.305740 | − | 0.369341i | ||||
\(889\) | 16.2153 | + | 10.4209i | 0.543844 | + | 0.349507i | ||||
\(890\) | −1.40805 | − | 0.475518i | −0.0471979 | − | 0.0159394i | ||||
\(891\) | −4.40378 | − | 0.633168i | −0.147532 | − | 0.0212119i | ||||
\(892\) | 19.3905 | − | 19.0531i | 0.649242 | − | 0.637944i | ||||
\(893\) | −33.6027 | + | 4.83134i | −1.12447 | + | 0.161675i | ||||
\(894\) | −0.386595 | + | 9.63839i | −0.0129297 | + | 0.322356i | ||||
\(895\) | −22.8914 | + | 26.4181i | −0.765177 | + | 0.883061i | ||||
\(896\) | −44.1483 | + | 20.4282i | −1.47489 | + | 0.682459i | ||||
\(897\) | 5.81950 | + | 4.72461i | 0.194307 | + | 0.157750i | ||||
\(898\) | 24.2526 | − | 34.6053i | 0.809321 | − | 1.15479i | ||||
\(899\) | 56.4873 | + | 48.9466i | 1.88396 | + | 1.63246i | ||||
\(900\) | −6.90732 | − | 5.26598i | −0.230244 | − | 0.175533i | ||||
\(901\) | −10.6891 | + | 1.53687i | −0.356107 | + | 0.0512004i | ||||
\(902\) | −5.64953 | + | 30.5455i | −0.188109 | + | 1.01705i | ||||
\(903\) | −1.52395 | + | 10.5993i | −0.0507138 | + | 0.352722i | ||||
\(904\) | −24.9442 | + | 0.562200i | −0.829631 | + | 0.0186985i | ||||
\(905\) | −38.9168 | − | 25.0103i | −1.29364 | − | 0.831370i | ||||
\(906\) | 9.39557 | − | 5.51904i | 0.312147 | − | 0.183358i | ||||
\(907\) | 14.7649 | − | 50.2847i | 0.490261 | − | 1.66968i | −0.227810 | − | 0.973706i | \(-0.573157\pi\) |
0.718071 | − | 0.695970i | \(-0.245025\pi\) | |||||||
\(908\) | −43.4932 | − | 24.2470i | −1.44337 | − | 0.804666i | ||||
\(909\) | −4.11985 | + | 3.56987i | −0.136647 | + | 0.118405i | ||||
\(910\) | 22.6997 | − | 18.1288i | 0.752486 | − | 0.600964i | ||||
\(911\) | −1.92923 | + | 4.22441i | −0.0639181 | + | 0.139961i | −0.938895 | − | 0.344203i | \(-0.888149\pi\) |
0.874977 | + | 0.484164i | \(0.160876\pi\) | |||||||
\(912\) | 16.7653 | − | 2.11084i | 0.555156 | − | 0.0698968i | ||||
\(913\) | −16.2404 | + | 4.76860i | −0.537478 | + | 0.157818i | ||||
\(914\) | −24.3792 | − | 22.8984i | −0.806391 | − | 0.757410i | ||||
\(915\) | −10.3434 | + | 4.72367i | −0.341942 | + | 0.156160i | ||||
\(916\) | −3.49109 | − | 6.52905i | −0.115349 | − | 0.215726i | ||||
\(917\) | −42.2972 | − | 65.8157i | −1.39678 | − | 2.17343i | ||||
\(918\) | 9.29659 | − | 2.32941i | 0.306833 | − | 0.0768818i | ||||
\(919\) | 11.6568 | 0.384523 | 0.192262 | − | 0.981344i | \(-0.438418\pi\) | ||||
0.192262 | + | 0.981344i | \(0.438418\pi\) | |||||||
\(920\) | 8.13162 | + | 40.6566i | 0.268092 | + | 1.34041i | ||||
\(921\) | 28.8732 | 0.951404 | ||||||||
\(922\) | −4.88826 | + | 1.22483i | −0.160986 | + | 0.0403376i | ||||
\(923\) | 10.5344 | + | 16.3919i | 0.346745 | + | 0.539545i | ||||
\(924\) | 33.7390 | − | 18.0403i | 1.10993 | − | 0.593482i | ||||
\(925\) | −19.9555 | + | 9.11337i | −0.656133 | + | 0.299646i | ||||
\(926\) | 16.4134 | + | 15.4165i | 0.539378 | + | 0.506616i | ||||
\(927\) | −1.29306 | + | 0.379677i | −0.0424698 | + | 0.0124702i | ||||
\(928\) | −38.5173 | − | 20.3492i | −1.26439 | − | 0.667997i | ||||
\(929\) | −5.17355 | + | 11.3285i | −0.169739 | + | 0.371676i | −0.975316 | − | 0.220815i | \(-0.929128\pi\) |
0.805577 | + | 0.592491i | \(0.201855\pi\) | |||||||
\(930\) | 32.7837 | − | 26.1823i | 1.07502 | − | 0.858553i | ||||
\(931\) | 36.6748 | − | 31.7789i | 1.20197 | − | 1.04151i | ||||
\(932\) | 20.7062 | − | 37.1417i | 0.678253 | − | 1.21662i | ||||
\(933\) | 4.98466 | − | 16.9762i | 0.163190 | − | 0.555775i | ||||
\(934\) | 26.9286 | − | 15.8181i | 0.881129 | − | 0.517584i | ||||
\(935\) | −77.5294 | − | 49.8251i | −2.53548 | − | 1.62946i | ||||
\(936\) | 0.0996130 | + | 4.41972i | 0.00325595 | + | 0.144463i | ||||
\(937\) | −2.55289 | + | 17.7557i | −0.0833993 | + | 0.580055i | 0.904678 | + | 0.426096i | \(0.140111\pi\) |
−0.988077 | + | 0.153959i | \(0.950798\pi\) | |||||||
\(938\) | 2.69826 | − | 14.5887i | 0.0881012 | − | 0.476339i | ||||
\(939\) | −13.3609 | + | 1.92101i | −0.436016 | + | 0.0626897i | ||||
\(940\) | 29.7847 | − | 39.0682i | 0.971470 | − | 1.27427i | ||||
\(941\) | −28.6857 | − | 24.8563i | −0.935127 | − | 0.810292i | 0.0469256 | − | 0.998898i | \(-0.485058\pi\) |
−0.982053 | + | 0.188606i | \(0.939603\pi\) | |||||||
\(942\) | 0.825854 | − | 1.17838i | 0.0269078 | − | 0.0383938i | ||||
\(943\) | 12.1557 | − | 20.3188i | 0.395843 | − | 0.661670i | ||||
\(944\) | 0.109332 | + | 0.130744i | 0.00355845 | + | 0.00425536i | ||||
\(945\) | 8.60650 | − | 9.93243i | 0.279970 | − | 0.323102i | ||||
\(946\) | −0.628012 | + | 15.6573i | −0.0204184 | + | 0.509062i | ||||
\(947\) | 10.1925 | − | 1.46546i | 0.331211 | − | 0.0476210i | 0.0252967 | − | 0.999680i | \(-0.491947\pi\) |
0.305914 | + | 0.952059i | \(0.401038\pi\) | |||||||
\(948\) | 21.1369 | + | 21.5112i | 0.686494 | + | 0.698652i | ||||
\(949\) | 9.41720 | + | 1.35399i | 0.305695 | + | 0.0439523i | ||||
\(950\) | −24.5813 | − | 8.30145i | −0.797523 | − | 0.269335i | ||||
\(951\) | −19.0272 | − | 12.2281i | −0.617001 | − | 0.396522i | ||||
\(952\) | −52.5541 | + | 63.4865i | −1.70329 | + | 2.05761i | ||||
\(953\) | 29.5635 | + | 8.68063i | 0.957656 | + | 0.281193i | 0.722971 | − | 0.690878i | \(-0.242776\pi\) |
0.234685 | + | 0.972072i | \(0.424594\pi\) | |||||||
\(954\) | −0.231060 | − | 2.24169i | −0.00748083 | − | 0.0725773i | ||||
\(955\) | −31.8469 | + | 27.5955i | −1.03054 | + | 0.892970i | ||||
\(956\) | 2.24261 | + | 35.7645i | 0.0725312 | + | 1.15671i | ||||
\(957\) | 31.1652 | + | 14.2327i | 1.00743 | + | 0.460078i | ||||
\(958\) | 46.3599 | − | 18.9650i | 1.49782 | − | 0.612731i | ||||
\(959\) | −71.1827 | + | 20.9011i | −2.29861 | + | 0.674932i | ||||
\(960\) | −15.1644 | + | 19.1829i | −0.489428 | + | 0.619126i | ||||
\(961\) | 26.2563 | + | 57.4933i | 0.846978 | + | 1.85462i | ||||
\(962\) | 9.96286 | + | 5.04185i | 0.321216 | + | 0.162556i | ||||
\(963\) | 5.33870 | + | 8.30717i | 0.172037 | + | 0.267695i | ||||
\(964\) | 15.1784 | + | 5.81351i | 0.488864 | + | 0.187241i | ||||
\(965\) | 45.9668i | 1.47972i | ||||||||
\(966\) | −28.8975 | + | 3.91855i | −0.929762 | + | 0.126077i | ||||
\(967\) | −46.3133 | −1.48933 | −0.744667 | − | 0.667436i | \(-0.767392\pi\) | ||||
−0.744667 | + | 0.667436i | \(0.767392\pi\) | |||||||
\(968\) | 20.6168 | − | 13.9158i | 0.662648 | − | 0.447272i | ||||
\(969\) | 24.0838 | − | 15.4777i | 0.773684 | − | 0.497216i | ||||
\(970\) | 11.6892 | − | 23.0982i | 0.375316 | − | 0.741637i | ||||
\(971\) | 36.0346 | − | 16.4564i | 1.15640 | − | 0.528112i | 0.257509 | − | 0.966276i | \(-0.417098\pi\) |
0.898895 | + | 0.438164i | \(0.144371\pi\) | |||||||
\(972\) | 0.407962 | + | 1.95795i | 0.0130854 | + | 0.0628013i | ||||
\(973\) | −3.96872 | − | 13.5162i | −0.127231 | − | 0.433310i | ||||
\(974\) | −54.2774 | + | 22.2039i | −1.73916 | + | 0.711459i | ||||
\(975\) | 2.81979 | − | 6.17449i | 0.0903057 | − | 0.197742i | ||||
\(976\) | 5.94304 | + | 13.6422i | 0.190232 | + | 0.436676i | ||||
\(977\) | 33.7798 | + | 38.9839i | 1.08071 | + | 1.24721i | 0.967294 | + | 0.253659i | \(0.0816341\pi\) |
0.113417 | + | 0.993547i | \(0.463820\pi\) | |||||||
\(978\) | −22.4308 | + | 2.31203i | −0.717257 | + | 0.0739305i | ||||
\(979\) | 0.430945 | − | 1.46766i | 0.0137731 | − | 0.0469067i | ||||
\(980\) | −5.62438 | + | 69.9994i | −0.179664 | + | 2.23605i | ||||
\(981\) | 2.84902 | − | 4.43317i | 0.0909623 | − | 0.141540i | ||||
\(982\) | −10.0099 | − | 3.38047i | −0.319427 | − | 0.107875i | ||||
\(983\) | 0.0272197 | − | 0.189317i | 0.000868175 | − | 0.00603829i | −0.989383 | − | 0.145333i | \(-0.953575\pi\) |
0.990251 | + | 0.139295i | \(0.0444836\pi\) | |||||||
\(984\) | 13.7737 | − | 2.29823i | 0.439088 | − | 0.0732651i | ||||
\(985\) | −7.02769 | − | 48.8787i | −0.223921 | − | 1.55740i | ||||
\(986\) | −73.7451 | − | 2.95791i | −2.34852 | − | 0.0941989i | ||||
\(987\) | 26.1135 | + | 22.6275i | 0.831203 | + | 0.720242i | ||||
\(988\) | 4.50610 | + | 12.4130i | 0.143358 | + | 0.394910i | ||||
\(989\) | 4.61077 | − | 11.0180i | 0.146614 | − | 0.350353i | ||||
\(990\) | 11.0376 | − | 15.7492i | 0.350799 | − | 0.500544i | ||||
\(991\) | 16.8842 | − | 19.4854i | 0.536345 | − | 0.618975i | −0.421302 | − | 0.906920i | \(-0.638427\pi\) |
0.957647 | + | 0.287945i | \(0.0929722\pi\) | |||||||
\(992\) | −33.5049 | − | 43.4969i | −1.06378 | − | 1.38103i | ||||
\(993\) | 1.86812 | + | 12.9930i | 0.0592829 | + | 0.412322i | ||||
\(994\) | −74.5402 | − | 13.7866i | −2.36427 | − | 0.437283i | ||||
\(995\) | 52.3114 | + | 7.52124i | 1.65838 | + | 0.238439i | ||||
\(996\) | 4.50614 | + | 6.13093i | 0.142782 | + | 0.194266i | ||||
\(997\) | −0.470747 | + | 0.732497i | −0.0149087 | + | 0.0231984i | −0.848628 | − | 0.528990i | \(-0.822571\pi\) |
0.833719 | + | 0.552189i | \(0.186207\pi\) | |||||||
\(998\) | 22.8660 | − | 13.4317i | 0.723809 | − | 0.425172i | ||||
\(999\) | 4.84689 | + | 1.42318i | 0.153349 | + | 0.0450273i |
(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 | 552.2.bb.a.85.21 | yes | 480 | |
8.5 | even | 2 | inner | 552.2.bb.a.85.47 | yes | 480 | |
23.13 | even | 11 | inner | 552.2.bb.a.13.47 | yes | 480 | |
184.13 | even | 22 | inner | 552.2.bb.a.13.21 | ✓ | 480 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
552.2.bb.a.13.21 | ✓ | 480 | 184.13 | even | 22 | inner | |
552.2.bb.a.13.47 | yes | 480 | 23.13 | even | 11 | inner | |
552.2.bb.a.85.21 | yes | 480 | 1.1 | even | 1 | trivial | |
552.2.bb.a.85.47 | yes | 480 | 8.5 | even | 2 | inner |