Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [552,2,Mod(5,552)]
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, 11, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("552.5");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 552 = 2^{3} \cdot 3 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 552.bf (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: | \(920\) |
Relative dimension: | \(92\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 5.2 | ||
Character | \(\chi\) | \(=\) | 552.5 |
Dual form | 552.2.bf.a.221.2 |
$q$-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 \(\left(\mathbb{Z}/552\mathbb{Z}\right)^\times\).
\(n\) | \(97\) | \(185\) | \(277\) | \(415\) |
\(\chi(n)\) | \(e\left(\frac{1}{22}\right)\) | \(-1\) | \(-1\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.41317 | + | 0.0543574i | −0.999261 | + | 0.0384365i | ||||
\(3\) | 0.873168 | − | 1.49585i | 0.504124 | − | 0.863631i | ||||
\(4\) | 1.99409 | − | 0.153632i | 0.997045 | − | 0.0768162i | ||||
\(5\) | −1.97986 | − | 0.284661i | −0.885420 | − | 0.127304i | −0.315423 | − | 0.948951i | \(-0.602146\pi\) |
−0.569997 | + | 0.821647i | \(0.693055\pi\) | |||||||
\(6\) | −1.15262 | + | 2.16136i | −0.470557 | + | 0.882370i | ||||
\(7\) | 2.90361 | − | 1.32603i | 1.09746 | − | 0.501194i | 0.217414 | − | 0.976079i | \(-0.430238\pi\) |
0.880048 | + | 0.474885i | \(0.157511\pi\) | |||||||
\(8\) | −2.80963 | + | 0.325502i | −0.993356 | + | 0.115082i | ||||
\(9\) | −1.47515 | − | 2.61226i | −0.491718 | − | 0.870755i | ||||
\(10\) | 2.81335 | + | 0.294653i | 0.889658 | + | 0.0931776i | ||||
\(11\) | 0.0155140 | + | 0.0528360i | 0.00467766 | + | 0.0159306i | 0.961799 | − | 0.273758i | \(-0.0882666\pi\) |
−0.957121 | + | 0.289688i | \(0.906448\pi\) | |||||||
\(12\) | 1.51137 | − | 3.11701i | 0.436294 | − | 0.899804i | ||||
\(13\) | −6.52515 | − | 2.97994i | −1.80975 | − | 0.826486i | −0.947300 | − | 0.320348i | \(-0.896200\pi\) |
−0.862452 | − | 0.506138i | \(-0.831073\pi\) | |||||||
\(14\) | −4.03121 | + | 2.03174i | −1.07739 | + | 0.543006i | ||||
\(15\) | −2.15456 | + | 2.71302i | −0.556305 | + | 0.700499i | ||||
\(16\) | 3.95279 | − | 0.612714i | 0.988199 | − | 0.153178i | ||||
\(17\) | 0.218352 | − | 0.140326i | 0.0529580 | − | 0.0340341i | −0.513894 | − | 0.857854i | \(-0.671798\pi\) |
0.566852 | + | 0.823820i | \(0.308161\pi\) | |||||||
\(18\) | 2.22664 | + | 3.61138i | 0.524823 | + | 0.851211i | ||||
\(19\) | 4.96870 | + | 3.19319i | 1.13990 | + | 0.732567i | 0.967603 | − | 0.252478i | \(-0.0812455\pi\) |
0.172295 | + | 0.985045i | \(0.444882\pi\) | |||||||
\(20\) | −3.99175 | − | 0.263469i | −0.892582 | − | 0.0589134i | ||||
\(21\) | 0.551788 | − | 5.50123i | 0.120410 | − | 1.20047i | ||||
\(22\) | −0.0247960 | − | 0.0738228i | −0.00528652 | − | 0.0157391i | ||||
\(23\) | −3.59799 | − | 3.17088i | −0.750233 | − | 0.661173i | ||||
\(24\) | −1.96638 | + | 4.48702i | −0.401386 | + | 0.915909i | ||||
\(25\) | −0.958658 | − | 0.281487i | −0.191732 | − | 0.0562975i | ||||
\(26\) | 9.38313 | + | 3.85646i | 1.84018 | + | 0.756315i | ||||
\(27\) | −5.19562 | − | 0.0743324i | −0.999898 | − | 0.0143053i | ||||
\(28\) | 5.58634 | − | 3.09032i | 1.05572 | − | 0.584016i | ||||
\(29\) | 6.21239 | − | 3.99246i | 1.15361 | − | 0.741381i | 0.183256 | − | 0.983065i | \(-0.441336\pi\) |
0.970355 | + | 0.241684i | \(0.0776998\pi\) | |||||||
\(30\) | 2.89728 | − | 3.95107i | 0.528969 | − | 0.721364i | ||||
\(31\) | −4.18469 | − | 4.82939i | −0.751592 | − | 0.867384i | 0.243129 | − | 0.969994i | \(-0.421826\pi\) |
−0.994722 | + | 0.102610i | \(0.967281\pi\) | |||||||
\(32\) | −5.55266 | + | 1.08073i | −0.981581 | + | 0.191048i | ||||
\(33\) | 0.0925812 | + | 0.0229280i | 0.0161163 | + | 0.00399125i | ||||
\(34\) | −0.300940 | + | 0.210173i | −0.0516108 | + | 0.0360444i | ||||
\(35\) | −6.12621 | + | 1.79882i | −1.03552 | + | 0.304056i | ||||
\(36\) | −3.34292 | − | 4.98246i | −0.557153 | − | 0.830410i | ||||
\(37\) | 0.947989 | + | 6.59341i | 0.155848 | + | 1.08395i | 0.906181 | + | 0.422889i | \(0.138984\pi\) |
−0.750333 | + | 0.661060i | \(0.770107\pi\) | |||||||
\(38\) | −7.19518 | − | 4.24243i | −1.16721 | − | 0.688212i | ||||
\(39\) | −10.1551 | + | 7.15869i | −1.62612 | + | 1.14631i | ||||
\(40\) | 5.65534 | + | 0.155344i | 0.894187 | + | 0.0245621i | ||||
\(41\) | 0.898237 | + | 0.129147i | 0.140281 | + | 0.0201694i | 0.212098 | − | 0.977248i | \(-0.431971\pi\) |
−0.0718166 | + | 0.997418i | \(0.522880\pi\) | |||||||
\(42\) | −0.480737 | + | 7.80415i | −0.0741793 | + | 1.20421i | ||||
\(43\) | −0.831631 | + | 0.959753i | −0.126823 | + | 0.146361i | −0.815609 | − | 0.578603i | \(-0.803598\pi\) |
0.688787 | + | 0.724964i | \(0.258144\pi\) | |||||||
\(44\) | 0.0390537 | + | 0.102976i | 0.00588757 | + | 0.0155243i | ||||
\(45\) | 2.17699 | + | 5.59183i | 0.324526 | + | 0.833581i | ||||
\(46\) | 5.25693 | + | 4.28540i | 0.775092 | + | 0.631848i | ||||
\(47\) | − | 0.188785i | − | 0.0275371i | −0.999905 | − | 0.0137685i | \(-0.995617\pi\) | ||
0.999905 | − | 0.0137685i | \(-0.00438280\pi\) | |||||||
\(48\) | 2.53493 | − | 6.44780i | 0.365885 | − | 0.930660i | ||||
\(49\) | 2.08856 | − | 2.41033i | 0.298366 | − | 0.344333i | ||||
\(50\) | 1.37005 | + | 0.345679i | 0.193754 | + | 0.0488864i | ||||
\(51\) | −0.0192495 | − | 0.449150i | −0.00269546 | − | 0.0628936i | ||||
\(52\) | −13.4696 | − | 4.93979i | −1.86789 | − | 0.685026i | ||||
\(53\) | −8.20646 | + | 3.74777i | −1.12724 | + | 0.514795i | −0.889684 | − | 0.456578i | \(-0.849075\pi\) |
−0.237561 | + | 0.971373i | \(0.576348\pi\) | |||||||
\(54\) | 7.34633 | − | 0.177376i | 0.999709 | − | 0.0241379i | ||||
\(55\) | −0.0156753 | − | 0.109024i | −0.00211365 | − | 0.0147008i | ||||
\(56\) | −7.72646 | + | 4.67080i | −1.03249 | + | 0.624163i | ||||
\(57\) | 9.11505 | − | 4.64425i | 1.20732 | − | 0.615146i | ||||
\(58\) | −8.56213 | + | 5.97971i | −1.12426 | + | 0.785174i | ||||
\(59\) | 4.21225 | − | 9.22355i | 0.548388 | − | 1.20080i | −0.409142 | − | 0.912471i | \(-0.634172\pi\) |
0.957530 | − | 0.288333i | \(-0.0931008\pi\) | |||||||
\(60\) | −3.87958 | + | 5.74102i | −0.500852 | + | 0.741162i | ||||
\(61\) | −8.61910 | − | 9.94698i | −1.10356 | − | 1.27358i | −0.958790 | − | 0.284115i | \(-0.908300\pi\) |
−0.144773 | − | 0.989465i | \(-0.546245\pi\) | |||||||
\(62\) | 6.17618 | + | 6.59727i | 0.784376 | + | 0.837854i | ||||
\(63\) | −7.74722 | − | 5.62889i | −0.976059 | − | 0.709174i | ||||
\(64\) | 7.78810 | − | 1.82908i | 0.973512 | − | 0.228636i | ||||
\(65\) | 12.0706 | + | 7.75731i | 1.49717 | + | 0.962176i | ||||
\(66\) | −0.132079 | − | 0.0273686i | −0.0162578 | − | 0.00336884i | ||||
\(67\) | −4.09784 | − | 1.20324i | −0.500631 | − | 0.146999i | 0.0216607 | − | 0.999765i | \(-0.493105\pi\) |
−0.522292 | + | 0.852767i | \(0.674923\pi\) | |||||||
\(68\) | 0.413854 | − | 0.313369i | 0.0501872 | − | 0.0380015i | ||||
\(69\) | −7.88482 | + | 2.61336i | −0.949221 | + | 0.314612i | ||||
\(70\) | 8.55959 | − | 2.87504i | 1.02307 | − | 0.343633i | ||||
\(71\) | 0.594995 | − | 2.02637i | 0.0706129 | − | 0.240485i | −0.916622 | − | 0.399754i | \(-0.869095\pi\) |
0.987235 | + | 0.159269i | \(0.0509137\pi\) | |||||||
\(72\) | 4.99494 | + | 6.85934i | 0.588659 | + | 0.808381i | ||||
\(73\) | −2.56222 | − | 1.64664i | −0.299885 | − | 0.192725i | 0.382041 | − | 0.924145i | \(-0.375221\pi\) |
−0.681927 | + | 0.731421i | \(0.738858\pi\) | |||||||
\(74\) | −1.69807 | − | 9.26607i | −0.197396 | − | 1.07716i | ||||
\(75\) | −1.25813 | + | 1.18823i | −0.145277 | + | 0.137204i | ||||
\(76\) | 10.3986 | + | 5.60415i | 1.19280 | + | 0.642840i | ||||
\(77\) | 0.115109 | + | 0.132843i | 0.0131179 | + | 0.0151389i | ||||
\(78\) | 13.9618 | − | 10.6684i | 1.58086 | − | 1.20796i | ||||
\(79\) | −2.82384 | − | 1.28960i | −0.317706 | − | 0.145092i | 0.250178 | − | 0.968200i | \(-0.419511\pi\) |
−0.567885 | + | 0.823108i | \(0.692238\pi\) | |||||||
\(80\) | −8.00039 | + | 0.0878816i | −0.894471 | + | 0.00982546i | ||||
\(81\) | −4.64784 | + | 7.70698i | −0.516427 | + | 0.856331i | ||||
\(82\) | −1.27638 | − | 0.133681i | −0.140953 | − | 0.0147625i | ||||
\(83\) | 8.96634 | − | 1.28917i | 0.984184 | − | 0.141504i | 0.368611 | − | 0.929584i | \(-0.379834\pi\) |
0.615573 | + | 0.788080i | \(0.288924\pi\) | |||||||
\(84\) | 0.255149 | − | 11.0547i | 0.0278390 | − | 1.20617i | ||||
\(85\) | −0.472251 | + | 0.215670i | −0.0512228 | + | 0.0233927i | ||||
\(86\) | 1.12306 | − | 1.40150i | 0.121103 | − | 0.151127i | ||||
\(87\) | −0.547672 | − | 12.7789i | −0.0587166 | − | 1.37004i | ||||
\(88\) | −0.0607870 | − | 0.143400i | −0.00647992 | − | 0.0152865i | ||||
\(89\) | 11.4022 | − | 13.1589i | 1.20863 | − | 1.39484i | 0.313175 | − | 0.949696i | \(-0.398607\pi\) |
0.895460 | − | 0.445143i | \(-0.146847\pi\) | |||||||
\(90\) | −3.38041 | − | 7.78386i | −0.356326 | − | 0.820491i | ||||
\(91\) | −22.8980 | −2.40036 | ||||||||
\(92\) | −7.66187 | − | 5.77024i | −0.798805 | − | 0.601590i | ||||
\(93\) | −10.8780 | + | 2.04281i | −1.12800 | + | 0.211830i | ||||
\(94\) | 0.0102618 | + | 0.266784i | 0.00105843 | + | 0.0275167i | ||||
\(95\) | −8.92834 | − | 7.73645i | −0.916028 | − | 0.793743i | ||||
\(96\) | −3.23179 | + | 9.24962i | −0.329843 | + | 0.944036i | ||||
\(97\) | 5.29925 | + | 0.761917i | 0.538057 | + | 0.0773609i | 0.405986 | − | 0.913879i | \(-0.366928\pi\) |
0.132071 | + | 0.991240i | \(0.457837\pi\) | |||||||
\(98\) | −2.82047 | + | 3.51973i | −0.284911 | + | 0.355547i | ||||
\(99\) | 0.115136 | − | 0.118468i | 0.0115716 | − | 0.0119065i | ||||
\(100\) | −1.95490 | − | 0.414030i | −0.195490 | − | 0.0414030i | ||||
\(101\) | 2.25826 | + | 15.7065i | 0.224705 | + | 1.56286i | 0.719902 | + | 0.694076i | \(0.244187\pi\) |
−0.495197 | + | 0.868781i | \(0.664904\pi\) | |||||||
\(102\) | 0.0516174 | + | 0.633679i | 0.00511088 | + | 0.0627435i | ||||
\(103\) | 2.05661 | + | 7.00418i | 0.202644 | + | 0.690142i | 0.996617 | + | 0.0821887i | \(0.0261910\pi\) |
−0.793973 | + | 0.607953i | \(0.791991\pi\) | |||||||
\(104\) | 19.3033 | + | 6.24859i | 1.89284 | + | 0.612724i | ||||
\(105\) | −2.65845 | + | 10.7346i | −0.259438 | + | 1.04759i | ||||
\(106\) | 11.3934 | − | 5.74231i | 1.10662 | − | 0.557742i | ||||
\(107\) | −2.28968 | + | 1.98402i | −0.221352 | + | 0.191802i | −0.758476 | − | 0.651700i | \(-0.774056\pi\) |
0.537125 | + | 0.843503i | \(0.319510\pi\) | |||||||
\(108\) | −10.3720 | + | 0.649990i | −0.998042 | + | 0.0625453i | ||||
\(109\) | 14.4636 | − | 9.29518i | 1.38536 | − | 0.890317i | 0.385880 | − | 0.922549i | \(-0.373898\pi\) |
0.999480 | + | 0.0322317i | \(0.0102614\pi\) | |||||||
\(110\) | 0.0280781 | + | 0.153217i | 0.00267714 | + | 0.0146087i | ||||
\(111\) | 10.6905 | + | 4.33910i | 1.01470 | + | 0.411849i | ||||
\(112\) | 10.6649 | − | 7.02062i | 1.00774 | − | 0.663387i | ||||
\(113\) | 8.05933 | + | 2.36643i | 0.758158 | + | 0.222615i | 0.637891 | − | 0.770126i | \(-0.279807\pi\) |
0.120267 | + | 0.992742i | \(0.461625\pi\) | |||||||
\(114\) | −12.6287 | + | 7.05858i | −1.18278 | + | 0.661097i | ||||
\(115\) | 6.22089 | + | 7.30209i | 0.580101 | + | 0.680924i | ||||
\(116\) | 11.7747 | − | 8.91575i | 1.09325 | − | 0.827807i | ||||
\(117\) | 1.84122 | + | 21.4413i | 0.170221 | + | 1.98225i | ||||
\(118\) | −5.45125 | + | 13.2634i | −0.501829 | + | 1.22099i | ||||
\(119\) | 0.447931 | − | 0.696994i | 0.0410618 | − | 0.0638933i | ||||
\(120\) | 5.17043 | − | 8.32391i | 0.471994 | − | 0.759866i | ||||
\(121\) | 9.25124 | − | 5.94541i | 0.841022 | − | 0.540492i | ||||
\(122\) | 12.7209 | + | 13.5882i | 1.15170 | + | 1.23022i | ||||
\(123\) | 0.977497 | − | 1.23086i | 0.0881379 | − | 0.110983i | ||||
\(124\) | −9.08660 | − | 8.98734i | −0.816001 | − | 0.807087i | ||||
\(125\) | 10.9152 | + | 4.98480i | 0.976284 | + | 0.445854i | ||||
\(126\) | 11.2541 | + | 7.53345i | 1.00260 | + | 0.671133i | ||||
\(127\) | 11.0253 | − | 3.23733i | 0.978341 | − | 0.287267i | 0.246802 | − | 0.969066i | \(-0.420620\pi\) |
0.731539 | + | 0.681799i | \(0.238802\pi\) | |||||||
\(128\) | −10.9065 | + | 3.00814i | −0.964005 | + | 0.265885i | ||||
\(129\) | 0.709496 | + | 2.08202i | 0.0624676 | + | 0.183312i | ||||
\(130\) | −17.4795 | − | 10.3063i | −1.53305 | − | 0.903919i | ||||
\(131\) | 4.83007 | + | 10.5764i | 0.422006 | + | 0.924063i | 0.994557 | + | 0.104194i | \(0.0332264\pi\) |
−0.572551 | + | 0.819869i | \(0.694046\pi\) | |||||||
\(132\) | 0.188138 | + | 0.0314970i | 0.0163753 | + | 0.00274146i | ||||
\(133\) | 18.6614 | + | 2.68311i | 1.61815 | + | 0.232655i | ||||
\(134\) | 5.85635 | + | 1.47763i | 0.505911 | + | 0.127647i | ||||
\(135\) | 10.2654 | + | 1.62616i | 0.883508 | + | 0.139957i | ||||
\(136\) | −0.567812 | + | 0.465339i | −0.0486895 | + | 0.0399025i | ||||
\(137\) | −2.12677 | −0.181702 | −0.0908512 | − | 0.995864i | \(-0.528959\pi\) | ||||
−0.0908512 | + | 0.995864i | \(0.528959\pi\) | |||||||
\(138\) | 11.0005 | − | 4.12172i | 0.936427 | − | 0.350864i | ||||
\(139\) | − | 5.52420i | − | 0.468556i | −0.972170 | − | 0.234278i | \(-0.924727\pi\) | ||
0.972170 | − | 0.234278i | \(-0.0752727\pi\) | |||||||
\(140\) | −11.9399 | + | 4.52819i | −1.00910 | + | 0.382702i | ||||
\(141\) | −0.282394 | − | 0.164841i | −0.0237819 | − | 0.0138821i | ||||
\(142\) | −0.730680 | + | 2.89594i | −0.0613173 | + | 0.243022i | ||||
\(143\) | 0.0562164 | − | 0.390994i | 0.00470105 | − | 0.0326965i | ||||
\(144\) | −7.43155 | − | 9.42189i | −0.619296 | − | 0.785158i | ||||
\(145\) | −13.4361 | + | 6.13608i | −1.11581 | + | 0.509574i | ||||
\(146\) | 3.71036 | + | 2.18770i | 0.307071 | + | 0.181056i | ||||
\(147\) | −1.78183 | − | 5.22881i | −0.146963 | − | 0.431265i | ||||
\(148\) | 2.90334 | + | 13.0022i | 0.238653 | + | 1.06878i | ||||
\(149\) | 0.375378 | + | 1.27842i | 0.0307522 | + | 0.104732i | 0.973439 | − | 0.228946i | \(-0.0735281\pi\) |
−0.942687 | + | 0.333679i | \(0.891710\pi\) | |||||||
\(150\) | 1.71337 | − | 1.74755i | 0.139896 | − | 0.142687i | ||||
\(151\) | −2.97813 | + | 6.52120i | −0.242357 | + | 0.530688i | −0.991249 | − | 0.132004i | \(-0.957859\pi\) |
0.748892 | + | 0.662692i | \(0.230586\pi\) | |||||||
\(152\) | −14.9996 | − | 7.35437i | −1.21663 | − | 0.596518i | ||||
\(153\) | −0.688671 | − | 0.363389i | −0.0556757 | − | 0.0293783i | ||||
\(154\) | −0.169889 | − | 0.181472i | −0.0136901 | − | 0.0146235i | ||||
\(155\) | 6.91036 | + | 10.7527i | 0.555053 | + | 0.863679i | ||||
\(156\) | −19.1504 | + | 15.8352i | −1.53326 | + | 1.26783i | ||||
\(157\) | 4.35713 | + | 2.80016i | 0.347737 | + | 0.223477i | 0.702836 | − | 0.711352i | \(-0.251917\pi\) |
−0.355099 | + | 0.934829i | \(0.615553\pi\) | |||||||
\(158\) | 4.06066 | + | 1.66893i | 0.323048 | + | 0.132773i | ||||
\(159\) | −1.55952 | + | 15.5481i | −0.123678 | + | 1.23304i | ||||
\(160\) | 11.3011 | − | 0.559072i | 0.893432 | − | 0.0441985i | ||||
\(161\) | −14.6519 | − | 4.43593i | −1.15473 | − | 0.349600i | ||||
\(162\) | 6.14925 | − | 11.1439i | 0.483131 | − | 0.875548i | ||||
\(163\) | 3.85714 | − | 13.1362i | 0.302115 | − | 1.02891i | −0.658859 | − | 0.752267i | \(-0.728960\pi\) |
0.960973 | − | 0.276641i | \(-0.0892213\pi\) | |||||||
\(164\) | 1.81101 | + | 0.119532i | 0.141416 | + | 0.00933391i | ||||
\(165\) | −0.176771 | − | 0.0717484i | −0.0137616 | − | 0.00558560i | ||||
\(166\) | −12.6009 | + | 2.30920i | −0.978018 | + | 0.179228i | ||||
\(167\) | −5.91488 | − | 9.20373i | −0.457707 | − | 0.712206i | 0.533313 | − | 0.845918i | \(-0.320947\pi\) |
−0.991020 | + | 0.133712i | \(0.957310\pi\) | |||||||
\(168\) | 0.240338 | + | 15.6360i | 0.0185425 | + | 1.20635i | ||||
\(169\) | 25.1844 | + | 29.0644i | 1.93726 | + | 2.23572i | ||||
\(170\) | 0.655646 | − | 0.330448i | 0.0502858 | − | 0.0253442i | ||||
\(171\) | 1.01186 | − | 17.6900i | 0.0773785 | − | 1.35279i | ||||
\(172\) | −1.51090 | + | 2.04160i | −0.115205 | + | 0.155671i | ||||
\(173\) | 4.60226 | − | 1.35135i | 0.349903 | − | 0.102741i | −0.102058 | − | 0.994778i | \(-0.532543\pi\) |
0.451961 | + | 0.892038i | \(0.350725\pi\) | |||||||
\(174\) | 1.46858 | + | 18.0290i | 0.111333 | + | 1.36677i | ||||
\(175\) | −3.15683 | + | 0.453884i | −0.238634 | + | 0.0343104i | ||||
\(176\) | 0.0936971 | + | 0.199344i | 0.00706269 | + | 0.0150261i | ||||
\(177\) | −10.1191 | − | 14.3546i | −0.760595 | − | 1.07896i | ||||
\(178\) | −15.3980 | + | 19.2155i | −1.15413 | + | 1.44026i | ||||
\(179\) | −0.276056 | + | 1.92001i | −0.0206334 | + | 0.143508i | −0.997534 | − | 0.0701862i | \(-0.977641\pi\) |
0.976901 | + | 0.213695i | \(0.0685498\pi\) | |||||||
\(180\) | 5.20020 | + | 10.8162i | 0.387600 | + | 0.806189i | ||||
\(181\) | 7.63190 | − | 8.80768i | 0.567275 | − | 0.654670i | −0.397545 | − | 0.917583i | \(-0.630138\pi\) |
0.964820 | + | 0.262913i | \(0.0846832\pi\) | |||||||
\(182\) | 32.3587 | − | 1.24468i | 2.39859 | − | 0.0922616i | ||||
\(183\) | −22.4051 | + | 4.20753i | −1.65624 | + | 0.311030i | ||||
\(184\) | 11.1412 | + | 7.73785i | 0.821338 | + | 0.570442i | ||||
\(185\) | − | 13.3239i | − | 0.979590i | ||||||
\(186\) | 15.2614 | − | 3.47814i | 1.11902 | − | 0.255029i | ||||
\(187\) | 0.0108018 | + | 0.00935979i | 0.000789904 | + | 0.000684456i | ||||
\(188\) | −0.0290034 | − | 0.376454i | −0.00211529 | − | 0.0274557i | ||||
\(189\) | −15.1846 | + | 6.67374i | −1.10452 | + | 0.485443i | ||||
\(190\) | 13.0378 | + | 10.4476i | 0.945860 | + | 0.757948i | ||||
\(191\) | 5.48466 | + | 12.0097i | 0.396856 | + | 0.868993i | 0.997579 | + | 0.0695361i | \(0.0221519\pi\) |
−0.600724 | + | 0.799457i | \(0.705121\pi\) | |||||||
\(192\) | 4.06428 | − | 13.2469i | 0.293314 | − | 0.956016i | ||||
\(193\) | 2.00407 | + | 13.9386i | 0.144256 | + | 1.00332i | 0.925406 | + | 0.378978i | \(0.123724\pi\) |
−0.781150 | + | 0.624343i | \(0.785367\pi\) | |||||||
\(194\) | −7.53015 | − | 0.788664i | −0.540633 | − | 0.0566227i | ||||
\(195\) | 22.1435 | − | 11.2824i | 1.58573 | − | 0.807951i | ||||
\(196\) | 3.79448 | − | 5.12729i | 0.271034 | − | 0.366235i | ||||
\(197\) | 7.78755 | − | 17.0524i | 0.554840 | − | 1.21493i | −0.399644 | − | 0.916670i | \(-0.630866\pi\) |
0.954485 | − | 0.298260i | \(-0.0964063\pi\) | |||||||
\(198\) | −0.156267 | + | 0.173674i | −0.0111054 | + | 0.0123424i | ||||
\(199\) | 11.6411 | − | 10.0871i | 0.825214 | − | 0.715052i | −0.136044 | − | 0.990703i | \(-0.543439\pi\) |
0.961258 | + | 0.275651i | \(0.0888933\pi\) | |||||||
\(200\) | 2.78510 | + | 0.478831i | 0.196937 | + | 0.0338585i | ||||
\(201\) | −5.37797 | + | 5.07914i | −0.379333 | + | 0.358255i | ||||
\(202\) | −4.04506 | − | 22.0732i | −0.284610 | − | 1.55306i | ||||
\(203\) | 12.7442 | − | 19.8304i | 0.894469 | − | 1.39182i | ||||
\(204\) | −0.107389 | − | 0.892689i | −0.00751875 | − | 0.0625007i | ||||
\(205\) | −1.74162 | − | 0.511385i | −0.121640 | − | 0.0357167i | ||||
\(206\) | −3.28707 | − | 9.78629i | −0.229021 | − | 0.681843i | ||||
\(207\) | −2.97557 | + | 14.0764i | −0.206816 | + | 0.978380i | ||||
\(208\) | −27.6184 | − | 7.78103i | −1.91499 | − | 0.539517i | ||||
\(209\) | −0.0916306 | + | 0.312065i | −0.00633822 | + | 0.0215860i | ||||
\(210\) | 3.17333 | − | 15.3143i | 0.218980 | − | 1.05679i | ||||
\(211\) | −10.0471 | + | 15.6336i | −0.691669 | + | 1.07626i | 0.300791 | + | 0.953690i | \(0.402749\pi\) |
−0.992460 | + | 0.122568i | \(0.960887\pi\) | |||||||
\(212\) | −15.7886 | + | 8.73416i | −1.08437 | + | 0.599865i | ||||
\(213\) | −2.51162 | − | 2.65938i | −0.172093 | − | 0.182218i | ||||
\(214\) | 3.12786 | − | 2.92822i | 0.213816 | − | 0.200169i | ||||
\(215\) | 1.91972 | − | 1.66344i | 0.130923 | − | 0.113446i | ||||
\(216\) | 14.6220 | − | 1.48234i | 0.994901 | − | 0.100860i | ||||
\(217\) | −18.5546 | − | 8.47362i | −1.25957 | − | 0.575227i | ||||
\(218\) | −19.9342 | + | 13.9219i | −1.35012 | + | 0.942908i | ||||
\(219\) | −4.70038 | + | 2.39491i | −0.317622 | + | 0.161833i | ||||
\(220\) | −0.0480075 | − | 0.214995i | −0.00323667 | − | 0.0144950i | ||||
\(221\) | −1.84294 | + | 0.264975i | −0.123970 | + | 0.0178241i | ||||
\(222\) | −15.3434 | − | 5.55077i | −1.02978 | − | 0.372544i | ||||
\(223\) | 2.50053 | + | 5.47540i | 0.167448 | + | 0.366660i | 0.974690 | − | 0.223561i | \(-0.0717680\pi\) |
−0.807242 | + | 0.590221i | \(0.799041\pi\) | |||||||
\(224\) | −14.6897 | + | 10.5010i | −0.981495 | + | 0.701630i | ||||
\(225\) | 0.678849 | + | 2.91950i | 0.0452566 | + | 0.194634i | ||||
\(226\) | −11.5178 | − | 2.90608i | −0.766154 | − | 0.193310i | ||||
\(227\) | −12.6652 | − | 10.9745i | −0.840620 | − | 0.728402i | 0.123933 | − | 0.992291i | \(-0.460449\pi\) |
−0.964553 | + | 0.263889i | \(0.914995\pi\) | |||||||
\(228\) | 17.4627 | − | 10.6614i | 1.15650 | − | 0.706070i | ||||
\(229\) | 8.28742 | 0.547648 | 0.273824 | − | 0.961780i | \(-0.411711\pi\) | ||||
0.273824 | + | 0.961780i | \(0.411711\pi\) | |||||||
\(230\) | −9.18809 | − | 9.98093i | −0.605845 | − | 0.658123i | ||||
\(231\) | 0.299223 | − | 0.0561920i | 0.0196874 | − | 0.00369716i | ||||
\(232\) | −16.1550 | + | 13.2395i | −1.06063 | + | 0.869216i | ||||
\(233\) | 4.88566 | + | 4.23345i | 0.320070 | + | 0.277342i | 0.800045 | − | 0.599940i | \(-0.204809\pi\) |
−0.479975 | + | 0.877282i | \(0.659354\pi\) | |||||||
\(234\) | −3.76745 | − | 30.2001i | −0.246286 | − | 1.97424i | ||||
\(235\) | −0.0537395 | + | 0.373767i | −0.00350558 | + | 0.0243819i | ||||
\(236\) | 6.98258 | − | 19.0397i | 0.454527 | − | 1.23938i | ||||
\(237\) | −4.39474 | + | 3.09800i | −0.285469 | + | 0.201237i | ||||
\(238\) | −0.595115 | + | 1.00932i | −0.0385756 | + | 0.0654244i | ||||
\(239\) | −13.2711 | + | 1.90810i | −0.858437 | + | 0.123425i | −0.557457 | − | 0.830206i | \(-0.688223\pi\) |
−0.300980 | + | 0.953631i | \(0.597314\pi\) | |||||||
\(240\) | −6.85423 | + | 12.0441i | −0.442439 | + | 0.777446i | ||||
\(241\) | −6.06198 | − | 20.6452i | −0.390486 | − | 1.32987i | −0.886970 | − | 0.461828i | \(-0.847194\pi\) |
0.496483 | − | 0.868046i | \(-0.334624\pi\) | |||||||
\(242\) | −12.7504 | + | 8.90474i | −0.819626 | + | 0.572418i | ||||
\(243\) | 7.47016 | + | 13.6820i | 0.479211 | + | 0.877700i | ||||
\(244\) | −18.7155 | − | 18.5110i | −1.19813 | − | 1.18505i | ||||
\(245\) | −4.82118 | + | 4.17758i | −0.308014 | + | 0.266896i | ||||
\(246\) | −1.31446 | + | 1.79255i | −0.0838070 | + | 0.114289i | ||||
\(247\) | −22.9060 | − | 35.6425i | −1.45747 | − | 2.26787i | ||||
\(248\) | 13.3294 | + | 12.2067i | 0.846419 | + | 0.775126i | ||||
\(249\) | 5.90072 | − | 14.5380i | 0.373943 | − | 0.921308i | ||||
\(250\) | −15.6960 | − | 6.45104i | −0.992700 | − | 0.408000i | ||||
\(251\) | 3.97193 | − | 13.5271i | 0.250706 | − | 0.853825i | −0.733933 | − | 0.679222i | \(-0.762317\pi\) |
0.984639 | − | 0.174604i | \(-0.0558644\pi\) | |||||||
\(252\) | −16.3134 | − | 10.0343i | −1.02765 | − | 0.632101i | ||||
\(253\) | 0.111717 | − | 0.239296i | 0.00702358 | − | 0.0150444i | ||||
\(254\) | −15.4047 | + | 5.17421i | −0.966577 | + | 0.324659i | ||||
\(255\) | −0.0897442 | + | 0.894733i | −0.00562000 | + | 0.0560304i | ||||
\(256\) | 15.2492 | − | 4.84386i | 0.953073 | − | 0.302741i | ||||
\(257\) | 8.63035 | − | 13.4291i | 0.538346 | − | 0.837683i | −0.460401 | − | 0.887711i | \(-0.652295\pi\) |
0.998748 | + | 0.0500274i | \(0.0159309\pi\) | |||||||
\(258\) | −1.11581 | − | 2.90368i | −0.0694674 | − | 0.180775i | ||||
\(259\) | 11.4957 | + | 17.8876i | 0.714307 | + | 1.11148i | ||||
\(260\) | 25.2617 | + | 13.6143i | 1.56666 | + | 0.844326i | ||||
\(261\) | −19.5936 | − | 10.3389i | −1.21281 | − | 0.639962i | ||||
\(262\) | −7.40061 | − | 14.6837i | −0.457211 | − | 0.907160i | ||||
\(263\) | 4.95594 | − | 10.8520i | 0.305597 | − | 0.669163i | −0.693065 | − | 0.720875i | \(-0.743740\pi\) |
0.998662 | + | 0.0517114i | \(0.0164676\pi\) | |||||||
\(264\) | −0.267583 | − | 0.0342838i | −0.0164686 | − | 0.00211002i | ||||
\(265\) | 17.3145 | − | 5.08399i | 1.06362 | − | 0.312307i | ||||
\(266\) | −26.5176 | − | 2.77730i | −1.62590 | − | 0.170287i | ||||
\(267\) | −9.72768 | − | 28.5460i | −0.595324 | − | 1.74699i | ||||
\(268\) | −8.35633 | − | 1.76980i | −0.510444 | − | 0.108108i | ||||
\(269\) | 3.38101 | + | 7.40338i | 0.206144 | + | 0.451392i | 0.984260 | − | 0.176729i | \(-0.0565516\pi\) |
−0.778116 | + | 0.628121i | \(0.783824\pi\) | |||||||
\(270\) | −14.5952 | − | 1.74003i | −0.888234 | − | 0.105895i | ||||
\(271\) | 0.0765703 | − | 0.532558i | 0.00465131 | − | 0.0323506i | −0.987364 | − | 0.158471i | \(-0.949344\pi\) |
0.992015 | + | 0.126121i | \(0.0402526\pi\) | |||||||
\(272\) | 0.777119 | − | 0.688467i | 0.0471198 | − | 0.0417445i | ||||
\(273\) | −19.9938 | + | 34.2521i | −1.21008 | + | 2.07303i | ||||
\(274\) | 3.00549 | − | 0.115606i | 0.181568 | − | 0.00698400i | ||||
\(275\) | − | 0.0550186i | − | 0.00331775i | ||||||
\(276\) | −15.3215 | + | 6.42264i | −0.922249 | + | 0.386597i | ||||
\(277\) | − | 16.3196i | − | 0.980550i | −0.871568 | − | 0.490275i | \(-0.836896\pi\) | ||
0.871568 | − | 0.490275i | \(-0.163104\pi\) | |||||||
\(278\) | 0.300281 | + | 7.80662i | 0.0180097 | + | 0.468210i | ||||
\(279\) | −6.44258 | + | 18.0556i | −0.385707 | + | 1.08096i | ||||
\(280\) | 16.6269 | − | 7.04811i | 0.993647 | − | 0.421205i | ||||
\(281\) | 2.91601 | − | 20.2813i | 0.173955 | − | 1.20988i | −0.696472 | − | 0.717584i | \(-0.745248\pi\) |
0.870427 | − | 0.492298i | \(-0.163843\pi\) | |||||||
\(282\) | 0.408031 | + | 0.217598i | 0.0242979 | + | 0.0129577i | ||||
\(283\) | 2.82248 | + | 6.18038i | 0.167779 | + | 0.367385i | 0.974781 | − | 0.223164i | \(-0.0716385\pi\) |
−0.807002 | + | 0.590549i | \(0.798911\pi\) | |||||||
\(284\) | 0.875158 | − | 4.13217i | 0.0519311 | − | 0.245199i | ||||
\(285\) | −19.3685 | + | 6.60026i | −1.14729 | + | 0.390966i | ||||
\(286\) | −0.0581898 | + | 0.555596i | −0.00344084 | + | 0.0328531i | ||||
\(287\) | 2.77938 | − | 0.816100i | 0.164062 | − | 0.0481729i | ||||
\(288\) | 11.0142 | + | 12.9108i | 0.649017 | + | 0.760774i | ||||
\(289\) | −7.03407 | + | 15.4025i | −0.413769 | + | 0.906027i | ||||
\(290\) | 18.6540 | − | 9.40167i | 1.09540 | − | 0.552085i | ||||
\(291\) | 5.76685 | − | 7.26162i | 0.338059 | − | 0.425684i | ||||
\(292\) | −5.36228 | − | 2.88991i | −0.313804 | − | 0.169119i | ||||
\(293\) | −2.26890 | − | 3.53049i | −0.132551 | − | 0.206253i | 0.768633 | − | 0.639690i | \(-0.220937\pi\) |
−0.901184 | + | 0.433437i | \(0.857301\pi\) | |||||||
\(294\) | 2.80225 | + | 7.29233i | 0.163431 | + | 0.425297i | ||||
\(295\) | −10.9652 | + | 17.0623i | −0.638421 | + | 0.993403i | ||||
\(296\) | −4.80967 | − | 18.2165i | −0.279556 | − | 1.05881i | ||||
\(297\) | −0.0766776 | − | 0.275669i | −0.00444929 | − | 0.0159959i | ||||
\(298\) | −0.599965 | − | 1.78622i | −0.0347550 | − | 0.103473i | ||||
\(299\) | 14.0284 | + | 31.4122i | 0.811286 | + | 1.81662i | ||||
\(300\) | −2.32628 | + | 2.56272i | −0.134308 | + | 0.147959i | ||||
\(301\) | −1.14207 | + | 3.88952i | −0.0658276 | + | 0.224188i | ||||
\(302\) | 3.85413 | − | 9.37744i | 0.221780 | − | 0.539611i | ||||
\(303\) | 25.4665 | + | 10.3364i | 1.46301 | + | 0.593811i | ||||
\(304\) | 21.5967 | + | 9.57762i | 1.23866 | + | 0.549314i | ||||
\(305\) | 14.2331 | + | 22.1471i | 0.814984 | + | 1.26814i | ||||
\(306\) | 0.992961 | + | 0.476096i | 0.0567638 | + | 0.0272166i | ||||
\(307\) | −9.03845 | + | 7.83186i | −0.515852 | + | 0.446988i | −0.873469 | − | 0.486880i | \(-0.838135\pi\) |
0.357617 | + | 0.933868i | \(0.383589\pi\) | |||||||
\(308\) | 0.249947 | + | 0.247216i | 0.0142420 | + | 0.0140865i | ||||
\(309\) | 12.2730 | + | 3.03944i | 0.698186 | + | 0.172907i | ||||
\(310\) | −10.3500 | − | 14.8198i | −0.587840 | − | 0.841707i | ||||
\(311\) | 4.40419 | + | 14.9993i | 0.249739 | + | 0.850531i | 0.984972 | + | 0.172717i | \(0.0552546\pi\) |
−0.735233 | + | 0.677815i | \(0.762927\pi\) | |||||||
\(312\) | 26.2020 | − | 23.4188i | 1.48340 | − | 1.32583i | ||||
\(313\) | −17.7415 | + | 2.55084i | −1.00281 | + | 0.144182i | −0.624108 | − | 0.781338i | \(-0.714538\pi\) |
−0.378699 | + | 0.925520i | \(0.623628\pi\) | |||||||
\(314\) | −6.30957 | − | 3.72025i | −0.356070 | − | 0.209946i | ||||
\(315\) | 13.7361 | + | 13.3497i | 0.773941 | + | 0.752173i | ||||
\(316\) | −5.82911 | − | 2.13775i | −0.327913 | − | 0.120258i | ||||
\(317\) | 0.000574710 | − | 0.00399720i | 3.22789e−5 | − | 0.000224505i | −0.989805 | − | 0.142427i | \(-0.954509\pi\) |
0.989838 | + | 0.142203i | \(0.0454184\pi\) | |||||||
\(318\) | 1.35870 | − | 22.0568i | 0.0761924 | − | 1.23689i | ||||
\(319\) | 0.307325 | + | 0.266298i | 0.0172069 | + | 0.0149098i | ||||
\(320\) | −15.9400 | + | 1.40436i | −0.891073 | + | 0.0785063i | ||||
\(321\) | 0.968526 | + | 5.15741i | 0.0540578 | + | 0.287859i | ||||
\(322\) | 20.9467 | + | 5.47227i | 1.16731 | + | 0.304958i | ||||
\(323\) | 1.53301 | 0.0852990 | ||||||||
\(324\) | −8.08418 | + | 16.0825i | −0.449121 | + | 0.893471i | ||||
\(325\) | 5.41657 | + | 4.69349i | 0.300458 | + | 0.260348i | ||||
\(326\) | −4.73674 | + | 18.7734i | −0.262344 | + | 1.03976i | ||||
\(327\) | −1.27508 | − | 29.7517i | −0.0705122 | − | 1.64527i | ||||
\(328\) | −2.56575 | − | 0.0704778i | −0.141670 | − | 0.00389149i | ||||
\(329\) | −0.250335 | − | 0.548157i | −0.0138014 | − | 0.0302209i | ||||
\(330\) | 0.253707 | + | 0.0917837i | 0.0139661 | + | 0.00505253i | ||||
\(331\) | 10.3915 | − | 1.49407i | 0.571167 | − | 0.0821215i | 0.149321 | − | 0.988789i | \(-0.452291\pi\) |
0.421846 | + | 0.906667i | \(0.361382\pi\) | |||||||
\(332\) | 17.6816 | − | 3.94823i | 0.970406 | − | 0.216687i | ||||
\(333\) | 15.8253 | − | 12.2027i | 0.867220 | − | 0.668703i | ||||
\(334\) | 8.85901 | + | 12.6849i | 0.484744 | + | 0.694087i | ||||
\(335\) | 7.77063 | + | 3.54873i | 0.424555 | + | 0.193888i | ||||
\(336\) | −1.18957 | − | 22.0833i | −0.0648965 | − | 1.20474i | ||||
\(337\) | −1.56676 | + | 1.35760i | −0.0853468 | + | 0.0739534i | −0.696489 | − | 0.717567i | \(-0.745256\pi\) |
0.611143 | + | 0.791521i | \(0.290710\pi\) | |||||||
\(338\) | −37.1697 | − | 39.7039i | −2.02177 | − | 2.15961i | ||||
\(339\) | 10.5770 | − | 9.98928i | 0.574463 | − | 0.542543i | ||||
\(340\) | −0.908577 | + | 0.502618i | −0.0492745 | + | 0.0272583i | ||||
\(341\) | 0.190244 | − | 0.296025i | 0.0103023 | − | 0.0160307i | ||||
\(342\) | −0.468340 | + | 25.0539i | −0.0253249 | + | 1.35476i | ||||
\(343\) | −3.42698 | + | 11.6712i | −0.185040 | + | 0.630187i | ||||
\(344\) | 2.02418 | − | 2.96725i | 0.109136 | − | 0.159984i | ||||
\(345\) | 16.3547 | − | 2.92958i | 0.880510 | − | 0.157724i | ||||
\(346\) | −6.43031 | + | 2.15985i | −0.345696 | + | 0.116114i | ||||
\(347\) | −31.7336 | − | 9.31783i | −1.70355 | − | 0.500208i | −0.722078 | − | 0.691811i | \(-0.756813\pi\) |
−0.981472 | + | 0.191604i | \(0.938631\pi\) | |||||||
\(348\) | −3.05536 | − | 25.3982i | −0.163785 | − | 1.36148i | ||||
\(349\) | 8.04540 | − | 12.5189i | 0.430660 | − | 0.670121i | −0.556319 | − | 0.830969i | \(-0.687787\pi\) |
0.986979 | + | 0.160848i | \(0.0514230\pi\) | |||||||
\(350\) | 4.43646 | − | 0.813011i | 0.237139 | − | 0.0434573i | ||||
\(351\) | 33.6807 | + | 15.9677i | 1.79774 | + | 0.852291i | ||||
\(352\) | −0.143246 | − | 0.276614i | −0.00763502 | − | 0.0147436i | ||||
\(353\) | −0.584494 | + | 0.506467i | −0.0311095 | + | 0.0269565i | −0.670277 | − | 0.742111i | \(-0.733825\pi\) |
0.639167 | + | 0.769068i | \(0.279279\pi\) | |||||||
\(354\) | 15.0802 | + | 19.7354i | 0.801505 | + | 1.04893i | ||||
\(355\) | −1.75483 | + | 3.84255i | −0.0931368 | + | 0.203941i | ||||
\(356\) | 20.7155 | − | 27.9917i | 1.09792 | − | 1.48356i | ||||
\(357\) | −0.651482 | − | 1.27863i | −0.0344801 | − | 0.0676724i | ||||
\(358\) | 0.285747 | − | 2.72831i | 0.0151022 | − | 0.144196i | ||||
\(359\) | 1.57852 | + | 10.9788i | 0.0833110 | + | 0.579441i | 0.988127 | + | 0.153638i | \(0.0490990\pi\) |
−0.904816 | + | 0.425802i | \(0.859992\pi\) | |||||||
\(360\) | −7.93669 | − | 15.0024i | −0.418300 | − | 0.790695i | ||||
\(361\) | 6.59862 | + | 14.4490i | 0.347296 | + | 0.760471i | ||||
\(362\) | −10.3064 | + | 12.8616i | −0.541692 | + | 0.675990i | ||||
\(363\) | −0.815572 | − | 19.0298i | −0.0428064 | − | 0.998807i | ||||
\(364\) | −45.6607 | + | 3.51788i | −2.39327 | + | 0.184387i | ||||
\(365\) | 4.60410 | + | 3.98948i | 0.240990 | + | 0.208819i | ||||
\(366\) | 31.4335 | − | 7.16383i | 1.64306 | − | 0.374460i | ||||
\(367\) | 27.3870i | 1.42959i | 0.699333 | + | 0.714796i | \(0.253480\pi\) | ||||
−0.699333 | + | 0.714796i | \(0.746520\pi\) | |||||||
\(368\) | −16.1650 | − | 10.3293i | −0.842657 | − | 0.538451i | ||||
\(369\) | −0.987671 | − | 2.53694i | −0.0514161 | − | 0.132068i | ||||
\(370\) | 0.724251 | + | 18.8289i | 0.0376520 | + | 0.978866i | ||||
\(371\) | −18.8587 | + | 21.7641i | −0.979095 | + | 1.12994i | ||||
\(372\) | −21.3779 | + | 5.74476i | −1.10839 | + | 0.297852i | ||||
\(373\) | 3.85672 | − | 26.8241i | 0.199693 | − | 1.38890i | −0.605481 | − | 0.795860i | \(-0.707019\pi\) |
0.805174 | − | 0.593039i | \(-0.202072\pi\) | |||||||
\(374\) | −0.0157735 | − | 0.0126398i | −0.000815629 | − | 0.000653589i | ||||
\(375\) | 16.9873 | − | 11.9749i | 0.877222 | − | 0.618384i | ||||
\(376\) | 0.0614498 | + | 0.530416i | 0.00316903 | + | 0.0273541i | ||||
\(377\) | −52.4341 | + | 7.53888i | −2.70049 | + | 0.388272i | ||||
\(378\) | 21.0957 | − | 10.2565i | 1.08504 | − | 0.527538i | ||||
\(379\) | −4.81820 | + | 1.41475i | −0.247494 | + | 0.0726708i | −0.403127 | − | 0.915144i | \(-0.632077\pi\) |
0.155633 | + | 0.987815i | \(0.450258\pi\) | |||||||
\(380\) | −18.9925 | − | 14.0555i | −0.974294 | − | 0.721032i | ||||
\(381\) | 4.78441 | − | 19.3190i | 0.245113 | − | 0.989744i | ||||
\(382\) | −8.40356 | − | 16.6736i | −0.429964 | − | 0.853097i | ||||
\(383\) | −13.6411 | − | 15.7427i | −0.697027 | − | 0.804412i | 0.291321 | − | 0.956625i | \(-0.405905\pi\) |
−0.988348 | + | 0.152213i | \(0.951360\pi\) | |||||||
\(384\) | −5.02344 | + | 18.9411i | −0.256351 | + | 0.966584i | ||||
\(385\) | −0.190084 | − | 0.295777i | −0.00968760 | − | 0.0150742i | ||||
\(386\) | −3.58975 | − | 19.5886i | −0.182713 | − | 0.997035i | ||||
\(387\) | 3.73391 | + | 0.756655i | 0.189805 | + | 0.0384630i | ||||
\(388\) | 10.6842 | + | 0.705195i | 0.542410 | + | 0.0358009i | ||||
\(389\) | −7.99687 | + | 27.2348i | −0.405457 | + | 1.38086i | 0.463554 | + | 0.886069i | \(0.346574\pi\) |
−0.869011 | + | 0.494792i | \(0.835244\pi\) | |||||||
\(390\) | −30.6792 | + | 17.1476i | −1.55350 | + | 0.868304i | ||||
\(391\) | −1.23058 | − | 0.187474i | −0.0622333 | − | 0.00948095i | ||||
\(392\) | −5.08353 | + | 7.45198i | −0.256757 | + | 0.376382i | ||||
\(393\) | 20.0382 | + | 2.00989i | 1.01079 | + | 0.101385i | ||||
\(394\) | −10.0782 | + | 24.5212i | −0.507733 | + | 1.23536i | ||||
\(395\) | 5.22370 | + | 3.35707i | 0.262833 | + | 0.168912i | ||||
\(396\) | 0.211391 | − | 0.253924i | 0.0106228 | − | 0.0127602i | ||||
\(397\) | 10.4403 | + | 16.2455i | 0.523986 | + | 0.815337i | 0.997869 | − | 0.0652502i | \(-0.0207845\pi\) |
−0.473883 | + | 0.880588i | \(0.657148\pi\) | |||||||
\(398\) | −15.9025 | + | 14.8875i | −0.797120 | + | 0.746242i | ||||
\(399\) | 20.3081 | − | 25.5720i | 1.01668 | − | 1.28020i | ||||
\(400\) | −3.96185 | − | 0.525279i | −0.198092 | − | 0.0262639i | ||||
\(401\) | −13.4396 | + | 29.4286i | −0.671142 | + | 1.46960i | 0.200622 | + | 0.979669i | \(0.435704\pi\) |
−0.871764 | + | 0.489927i | \(0.837024\pi\) | |||||||
\(402\) | 7.32389 | − | 7.47002i | 0.365282 | − | 0.372571i | ||||
\(403\) | 12.9145 | + | 43.9826i | 0.643315 | + | 2.19093i | ||||
\(404\) | 6.91620 | + | 30.9733i | 0.344094 | + | 1.54098i | ||||
\(405\) | 11.3959 | − | 13.9357i | 0.566269 | − | 0.692469i | ||||
\(406\) | −16.9318 | + | 28.7164i | −0.840311 | + | 1.42517i | ||||
\(407\) | −0.333662 | + | 0.152378i | −0.0165390 | + | 0.00755311i | ||||
\(408\) | 0.200283 | + | 1.25568i | 0.00991550 | + | 0.0621655i | ||||
\(409\) | −0.117692 | + | 0.818568i | −0.00581951 | + | 0.0404756i | −0.992524 | − | 0.122047i | \(-0.961054\pi\) |
0.986705 | + | 0.162523i | \(0.0519631\pi\) | |||||||
\(410\) | 2.48900 | + | 0.628004i | 0.122923 | + | 0.0310149i | ||||
\(411\) | −1.85703 | + | 3.18134i | −0.0916005 | + | 0.156924i | ||||
\(412\) | 5.17714 | + | 13.6510i | 0.255059 | + | 0.672536i | ||||
\(413\) | − | 32.3672i | − | 1.59268i | ||||||
\(414\) | 3.43982 | − | 20.0541i | 0.169058 | − | 0.985606i | ||||
\(415\) | −18.1191 | −0.889430 | ||||||||
\(416\) | 39.4525 | + | 9.49464i | 1.93432 | + | 0.465513i | ||||
\(417\) | −8.26339 | − | 4.82356i | −0.404660 | − | 0.236211i | ||||
\(418\) | 0.112526 | − | 0.445981i | 0.00550385 | − | 0.0218137i | ||||
\(419\) | −4.26622 | − | 0.613390i | −0.208419 | − | 0.0299661i | 0.0373146 | − | 0.999304i | \(-0.488120\pi\) |
−0.245733 | + | 0.969337i | \(0.579029\pi\) | |||||||
\(420\) | −3.65200 | + | 21.8141i | −0.178199 | + | 1.06442i | ||||
\(421\) | −3.95796 | − | 8.66672i | −0.192899 | − | 0.422390i | 0.788326 | − | 0.615258i | \(-0.210948\pi\) |
−0.981225 | + | 0.192868i | \(0.938221\pi\) | |||||||
\(422\) | 13.3484 | − | 22.6390i | 0.649790 | − | 1.10205i | ||||
\(423\) | −0.493155 | + | 0.278486i | −0.0239780 | + | 0.0135405i | ||||
\(424\) | 21.8373 | − | 13.2011i | 1.06051 | − | 0.641101i | ||||
\(425\) | −0.248824 | + | 0.0730615i | −0.0120698 | + | 0.00354400i | ||||
\(426\) | 3.69389 | + | 3.62163i | 0.178970 | + | 0.175469i | ||||
\(427\) | −38.2166 | − | 17.4529i | −1.84943 | − | 0.844606i | ||||
\(428\) | −4.26102 | + | 4.30809i | −0.205964 | + | 0.208239i | ||||
\(429\) | −0.535783 | − | 0.425495i | −0.0258678 | − | 0.0205431i | ||||
\(430\) | −2.62246 | + | 2.45508i | −0.126466 | + | 0.118394i | ||||
\(431\) | 12.0562 | − | 7.74805i | 0.580727 | − | 0.373211i | −0.217052 | − | 0.976160i | \(-0.569644\pi\) |
0.797779 | + | 0.602949i | \(0.206008\pi\) | |||||||
\(432\) | −20.5828 | + | 2.88961i | −0.990289 | + | 0.139026i | ||||
\(433\) | 2.06454 | − | 3.21248i | 0.0992154 | − | 0.154382i | −0.788097 | − | 0.615551i | \(-0.788933\pi\) |
0.887312 | + | 0.461169i | \(0.152570\pi\) | |||||||
\(434\) | 26.6814 | + | 10.9661i | 1.28075 | + | 0.526388i | ||||
\(435\) | −2.55334 | + | 25.4563i | −0.122423 | + | 1.22054i | ||||
\(436\) | 27.4137 | − | 20.7575i | 1.31288 | − | 0.994105i | ||||
\(437\) | −7.75213 | − | 27.2442i | −0.370835 | − | 1.30327i | ||||
\(438\) | 6.51225 | − | 3.63992i | 0.311167 | − | 0.173922i | ||||
\(439\) | −10.4357 | − | 3.06419i | −0.498068 | − | 0.146246i | 0.0230439 | − | 0.999734i | \(-0.492664\pi\) |
−0.521112 | + | 0.853489i | \(0.674482\pi\) | |||||||
\(440\) | 0.0795293 | + | 0.301215i | 0.00379141 | + | 0.0143599i | ||||
\(441\) | −9.37737 | − | 1.90027i | −0.446541 | − | 0.0904890i | ||||
\(442\) | 2.58998 | − | 0.474632i | 0.123193 | − | 0.0225759i | ||||
\(443\) | −27.0293 | + | 17.3707i | −1.28420 | + | 0.825307i | −0.991400 | − | 0.130866i | \(-0.958224\pi\) |
−0.292803 | + | 0.956173i | \(0.594588\pi\) | |||||||
\(444\) | 21.9845 | + | 7.01015i | 1.04334 | + | 0.332687i | ||||
\(445\) | −26.3206 | + | 22.8069i | −1.24772 | + | 1.08115i | ||||
\(446\) | −3.83130 | − | 7.60174i | −0.181417 | − | 0.359953i | ||||
\(447\) | 2.24010 | + | 0.554766i | 0.105953 | + | 0.0262395i | ||||
\(448\) | 20.1882 | − | 15.6382i | 0.953802 | − | 0.738837i | ||||
\(449\) | −1.63100 | − | 5.55467i | −0.0769715 | − | 0.262141i | 0.912013 | − | 0.410162i | \(-0.134528\pi\) |
−0.988984 | + | 0.148021i | \(0.952710\pi\) | |||||||
\(450\) | −1.11802 | − | 4.08885i | −0.0527042 | − | 0.192750i | ||||
\(451\) | 0.00711168 | + | 0.0494628i | 0.000334876 | + | 0.00232911i | ||||
\(452\) | 16.4346 | + | 3.48071i | 0.773018 | + | 0.163719i | ||||
\(453\) | 7.15435 | + | 10.1490i | 0.336141 | + | 0.476840i | ||||
\(454\) | 18.4946 | + | 14.8203i | 0.867996 | + | 0.695553i | ||||
\(455\) | 45.3348 | + | 6.51816i | 2.12533 | + | 0.305576i | ||||
\(456\) | −24.0982 | + | 16.0156i | −1.12850 | + | 0.750000i | ||||
\(457\) | −15.5557 | − | 13.4791i | −0.727665 | − | 0.630526i | 0.210146 | − | 0.977670i | \(-0.432606\pi\) |
−0.937812 | + | 0.347144i | \(0.887151\pi\) | |||||||
\(458\) | −11.7115 | + | 0.450483i | −0.547243 | + | 0.0210497i | ||||
\(459\) | −1.14490 | + | 0.712850i | −0.0534395 | + | 0.0332730i | ||||
\(460\) | 13.5269 | + | 13.6053i | 0.630693 | + | 0.634350i | ||||
\(461\) | −2.99612 | −0.139543 | −0.0697717 | − | 0.997563i | \(-0.522227\pi\) | ||||
−0.0697717 | + | 0.997563i | \(0.522227\pi\) | |||||||
\(462\) | −0.419798 | + | 0.0956738i | −0.0195308 | + | 0.00445115i | ||||
\(463\) | 9.21742 | − | 10.6375i | 0.428370 | − | 0.494365i | −0.499999 | − | 0.866026i | \(-0.666666\pi\) |
0.928368 | + | 0.371661i | \(0.121212\pi\) | |||||||
\(464\) | 22.1101 | − | 19.5878i | 1.02643 | − | 0.909340i | ||||
\(465\) | 22.1184 | − | 0.947940i | 1.02572 | − | 0.0439596i | ||||
\(466\) | −7.13438 | − | 5.71700i | −0.330494 | − | 0.264835i | ||||
\(467\) | 23.5846 | − | 10.7707i | 1.09137 | − | 0.498411i | 0.213319 | − | 0.976983i | \(-0.431573\pi\) |
0.878048 | + | 0.478572i | \(0.158845\pi\) | |||||||
\(468\) | 6.96564 | + | 42.4730i | 0.321987 | + | 1.96332i | ||||
\(469\) | −13.4941 | + | 1.94015i | −0.623098 | + | 0.0895880i | ||||
\(470\) | 0.0556260 | − | 0.531117i | 0.00256584 | − | 0.0244986i | ||||
\(471\) | 7.99314 | − | 4.07262i | 0.368304 | − | 0.187656i | ||||
\(472\) | −8.83261 | + | 27.2859i | −0.406554 | + | 1.25593i | ||||
\(473\) | −0.0636114 | − | 0.0290504i | −0.00292486 | − | 0.00133574i | ||||
\(474\) | 6.04211 | − | 4.61689i | 0.277523 | − | 0.212061i | ||||
\(475\) | −3.86444 | − | 4.45980i | −0.177313 | − | 0.204630i | ||||
\(476\) | 0.786134 | − | 1.45869i | 0.0360324 | − | 0.0668588i | ||||
\(477\) | 21.8959 | + | 15.9089i | 1.00255 | + | 0.728419i | ||||
\(478\) | 18.6506 | − | 3.41785i | 0.853058 | − | 0.156329i | ||||
\(479\) | 16.0401 | + | 10.3083i | 0.732890 | + | 0.471000i | 0.853099 | − | 0.521749i | \(-0.174720\pi\) |
−0.120209 | + | 0.992749i | \(0.538356\pi\) | |||||||
\(480\) | 9.03149 | − | 17.3930i | 0.412229 | − | 0.793877i | ||||
\(481\) | 13.4622 | − | 45.8480i | 0.613822 | − | 2.09049i | ||||
\(482\) | 9.68881 | + | 28.8456i | 0.441313 | + | 1.31388i | ||||
\(483\) | −19.4290 | + | 18.0437i | −0.884052 | + | 0.821018i | ||||
\(484\) | 17.5344 | − | 13.2770i | 0.797018 | − | 0.603499i | ||||
\(485\) | −10.2749 | − | 3.01698i | −0.466558 | − | 0.136994i | ||||
\(486\) | −11.3003 | − | 18.9289i | −0.512593 | − | 0.858632i | ||||
\(487\) | −3.96837 | − | 2.55032i | −0.179824 | − | 0.115566i | 0.447632 | − | 0.894218i | \(-0.352267\pi\) |
−0.627456 | + | 0.778652i | \(0.715904\pi\) | |||||||
\(488\) | 27.4543 | + | 25.1418i | 1.24280 | + | 1.13812i | ||||
\(489\) | −16.2819 | − | 17.2398i | −0.736294 | − | 0.779613i | ||||
\(490\) | 6.58606 | − | 6.16569i | 0.297528 | − | 0.278538i | ||||
\(491\) | 7.75644 | + | 8.95141i | 0.350043 | + | 0.403971i | 0.903279 | − | 0.429053i | \(-0.141153\pi\) |
−0.553236 | + | 0.833025i | \(0.686607\pi\) | |||||||
\(492\) | 1.76012 | − | 2.60463i | 0.0793522 | − | 0.117426i | ||||
\(493\) | 0.796239 | − | 1.74352i | 0.0358608 | − | 0.0785242i | ||||
\(494\) | 34.3075 | + | 49.1237i | 1.54357 | + | 2.21018i | ||||
\(495\) | −0.261676 | + | 0.201775i | −0.0117615 | + | 0.00906911i | ||||
\(496\) | −19.5003 | − | 16.5256i | −0.875587 | − | 0.742020i | ||||
\(497\) | −0.959398 | − | 6.67276i | −0.0430349 | − | 0.299314i | ||||
\(498\) | −7.54847 | + | 20.8654i | −0.338255 | + | 0.935000i | ||||
\(499\) | −35.2232 | + | 16.0859i | −1.57681 | + | 0.720105i | −0.995605 | − | 0.0936531i | \(-0.970146\pi\) |
−0.581204 | + | 0.813758i | \(0.697418\pi\) | |||||||
\(500\) | 22.5317 | + | 8.26321i | 1.00765 | + | 0.369542i | ||||
\(501\) | −18.9321 | + | 0.811384i | −0.845825 | + | 0.0362499i | ||||
\(502\) | −4.87770 | + | 19.3320i | −0.217702 | + | 0.862831i | ||||
\(503\) | −26.8470 | + | 30.9831i | −1.19705 | + | 1.38147i | −0.291862 | + | 0.956460i | \(0.594275\pi\) |
−0.905189 | + | 0.425010i | \(0.860271\pi\) | |||||||
\(504\) | 23.5991 | + | 13.2934i | 1.05119 | + | 0.592135i | ||||
\(505\) | − | 31.7395i | − | 1.41239i | ||||||
\(506\) | −0.144867 | + | 0.344239i | −0.00644013 | + | 0.0153033i | ||||
\(507\) | 65.4663 | − | 12.2941i | 2.90746 | − | 0.546000i | ||||
\(508\) | 21.4882 | − | 8.14939i | 0.953384 | − | 0.361571i | ||||
\(509\) | 3.49008 | − | 4.02776i | 0.154695 | − | 0.178528i | −0.673112 | − | 0.739541i | \(-0.735043\pi\) |
0.827807 | + | 0.561013i | \(0.189588\pi\) | |||||||
\(510\) | 0.0781883 | − | 1.26929i | 0.00346223 | − | 0.0562050i | ||||
\(511\) | −9.62320 | − | 1.38361i | −0.425705 | − | 0.0612072i | ||||
\(512\) | −21.2863 | + | 7.67410i | −0.940732 | + | 0.339151i | ||||
\(513\) | −25.5781 | − | 16.9599i | −1.12930 | − | 0.748799i | ||||
\(514\) | −11.4662 | + | 19.4467i | −0.505751 | + | 0.857757i | ||||
\(515\) | −2.07799 | − | 14.4527i | −0.0915670 | − | 0.636863i | ||||
\(516\) | 1.73467 | + | 4.04274i | 0.0763644 | + | 0.177972i | ||||
\(517\) | 0.00997462 | − | 0.00292881i | 0.000438683 | − | 0.000128809i | ||||
\(518\) | −17.2177 | − | 24.6533i | −0.756500 | − | 1.08321i | ||||
\(519\) | 1.99713 | − | 8.06426i | 0.0876644 | − | 0.353982i | ||||
\(520\) | −36.4390 | − | 17.8662i | −1.59796 | − | 0.783485i | ||||
\(521\) | −23.3345 | − | 26.9294i | −1.02230 | − | 1.17980i | −0.983566 | − | 0.180549i | \(-0.942212\pi\) |
−0.0387356 | − | 0.999249i | \(-0.512333\pi\) | |||||||
\(522\) | 28.2510 | + | 13.5456i | 1.23651 | + | 0.592873i | ||||
\(523\) | 21.1877 | − | 13.6165i | 0.926471 | − | 0.595407i | 0.0119430 | − | 0.999929i | \(-0.496198\pi\) |
0.914528 | + | 0.404522i | \(0.132562\pi\) | |||||||
\(524\) | 11.2565 | + | 20.3482i | 0.491742 | + | 0.888916i | ||||
\(525\) | −2.07750 | + | 5.11847i | −0.0906696 | + | 0.223388i | ||||
\(526\) | −6.41370 | + | 15.6051i | −0.279651 | + | 0.680415i | ||||
\(527\) | −1.59142 | − | 0.467284i | −0.0693235 | − | 0.0203552i | ||||
\(528\) | 0.380003 | + | 0.0339038i | 0.0165375 | + | 0.00147547i | ||||
\(529\) | 2.89110 | + | 22.8176i | 0.125700 | + | 0.992068i | ||||
\(530\) | −24.1919 | + | 8.12570i | −1.05083 | + | 0.352958i | ||||
\(531\) | −30.3081 | + | 2.60264i | −1.31526 | + | 0.112945i | ||||
\(532\) | 37.6248 | + | 2.48336i | 1.63124 | + | 0.107667i | ||||
\(533\) | −5.47628 | − | 3.51939i | −0.237204 | − | 0.152442i | ||||
\(534\) | 15.2985 | + | 39.8115i | 0.662033 | + | 1.72281i | ||||
\(535\) | 5.09802 | − | 3.27630i | 0.220407 | − | 0.141647i | ||||
\(536\) | 11.9051 | + | 2.04680i | 0.514222 | + | 0.0884081i | ||||
\(537\) | 2.63101 | + | 2.08943i | 0.113537 | + | 0.0901657i | ||||
\(538\) | −5.18037 | − | 10.2784i | −0.223341 | − | 0.443135i | ||||
\(539\) | 0.159754 | + | 0.0729573i | 0.00688110 | + | 0.00314249i | ||||
\(540\) | 20.7200 | + | 1.66560i | 0.891648 | + | 0.0716760i | ||||
\(541\) | 7.42659 | + | 25.2926i | 0.319294 | + | 1.08742i | 0.950222 | + | 0.311574i | \(0.100856\pi\) |
−0.630928 | + | 0.775841i | \(0.717326\pi\) | |||||||
\(542\) | −0.0792582 | + | 0.756756i | −0.00340443 | + | 0.0325055i | ||||
\(543\) | −6.51106 | − | 19.1068i | −0.279417 | − | 0.819951i | ||||
\(544\) | −1.06078 | + | 1.01516i | −0.0454804 | + | 0.0435247i | ||||
\(545\) | −31.2818 | + | 14.2859i | −1.33997 | + | 0.611942i | ||||
\(546\) | 26.3928 | − | 49.4908i | 1.12951 | − | 2.11801i | ||||
\(547\) | 31.5039 | + | 4.52958i | 1.34701 | + | 0.193671i | 0.777795 | − | 0.628518i | \(-0.216338\pi\) |
0.569215 | + | 0.822189i | \(0.307247\pi\) | |||||||
\(548\) | −4.24098 | + | 0.326741i | −0.181166 | + | 0.0139577i | ||||
\(549\) | −13.2696 | + | 37.1887i | −0.566334 | + | 1.58717i | ||||
\(550\) | 0.00299067 | + | 0.0777506i | 0.000127523 | + | 0.00331530i | ||||
\(551\) | 43.6161 | 1.85811 | ||||||||
\(552\) | 21.3028 | − | 9.90911i | 0.906708 | − | 0.421760i | ||||
\(553\) | −9.90938 | −0.421390 | ||||||||
\(554\) | 0.887091 | + | 23.0623i | 0.0376889 | + | 0.979825i | ||||
\(555\) | −19.9305 | − | 11.6340i | −0.846005 | − | 0.493835i | ||||
\(556\) | −0.848696 | − | 11.0158i | −0.0359927 | − | 0.467172i | ||||
\(557\) | −11.2631 | − | 1.61939i | −0.477233 | − | 0.0686157i | −0.100499 | − | 0.994937i | \(-0.532044\pi\) |
−0.376734 | + | 0.926321i | \(0.622953\pi\) | |||||||
\(558\) | 8.12299 | − | 25.8658i | 0.343874 | − | 1.09499i | ||||
\(559\) | 8.28652 | − | 3.78433i | 0.350483 | − | 0.160060i | ||||
\(560\) | −23.1135 | + | 10.8640i | −0.976723 | + | 0.459086i | ||||
\(561\) | 0.0234326 | − | 0.00798520i | 0.000989327 | − | 0.000337135i | ||||
\(562\) | −3.01838 | + | 28.8194i | −0.127323 | + | 1.21567i | ||||
\(563\) | −4.88057 | − | 16.6217i | −0.205692 | − | 0.700521i | −0.996123 | − | 0.0879707i | \(-0.971962\pi\) |
0.790431 | − | 0.612550i | \(-0.209856\pi\) | |||||||
\(564\) | −0.588444 | − | 0.285322i | −0.0247780 | − | 0.0120142i | ||||
\(565\) | −15.2827 | − | 6.97938i | −0.642948 | − | 0.293625i | ||||
\(566\) | −4.32459 | − | 8.58049i | −0.181776 | − | 0.360665i | ||||
\(567\) | −3.27580 | + | 28.5413i | −0.137571 | + | 1.19862i | ||||
\(568\) | −1.01213 | + | 5.88702i | −0.0424681 | + | 0.247014i | ||||
\(569\) | −0.347448 | + | 0.223291i | −0.0145658 | + | 0.00936086i | −0.547903 | − | 0.836542i | \(-0.684574\pi\) |
0.533338 | + | 0.845902i | \(0.320938\pi\) | |||||||
\(570\) | 27.0122 | − | 10.3801i | 1.13142 | − | 0.434775i | ||||
\(571\) | −25.4115 | − | 16.3310i | −1.06344 | − | 0.683430i | −0.112764 | − | 0.993622i | \(-0.535970\pi\) |
−0.950674 | + | 0.310192i | \(0.899607\pi\) | |||||||
\(572\) | 0.0520313 | − | 0.788314i | 0.00217554 | − | 0.0329610i | ||||
\(573\) | 22.7538 | + | 2.28227i | 0.950554 | + | 0.0953431i | ||||
\(574\) | −3.88338 | + | 1.30437i | −0.162089 | + | 0.0544433i | ||||
\(575\) | 2.55668 | + | 4.05257i | 0.106621 | + | 0.169004i | ||||
\(576\) | −16.2667 | − | 17.6464i | −0.677779 | − | 0.735266i | ||||
\(577\) | 24.5892 | + | 7.22005i | 1.02366 | + | 0.300575i | 0.750132 | − | 0.661289i | \(-0.229990\pi\) |
0.273531 | + | 0.961863i | \(0.411808\pi\) | |||||||
\(578\) | 9.10309 | − | 22.1486i | 0.378639 | − | 0.921262i | ||||
\(579\) | 22.6000 | + | 9.17294i | 0.939222 | + | 0.381214i | ||||
\(580\) | −25.8502 | + | 14.3001i | −1.07337 | + | 0.593781i | ||||
\(581\) | 24.3253 | − | 15.6329i | 1.00918 | − | 0.648563i | ||||
\(582\) | −7.75481 | + | 10.5754i | −0.321447 | + | 0.438363i | ||||
\(583\) | −0.325332 | − | 0.375453i | −0.0134739 | − | 0.0155497i | ||||
\(584\) | 7.73489 | + | 3.79245i | 0.320072 | + | 0.156933i | ||||
\(585\) | 2.45813 | − | 42.9748i | 0.101631 | − | 1.77679i | ||||
\(586\) | 3.39825 | + | 4.86584i | 0.140381 | + | 0.201006i | ||||
\(587\) | 26.9524 | − | 7.91395i | 1.11245 | − | 0.326644i | 0.326660 | − | 0.945142i | \(-0.394077\pi\) |
0.785786 | + | 0.618498i | \(0.212259\pi\) | |||||||
\(588\) | −4.35645 | − | 10.1530i | −0.179657 | − | 0.418701i | ||||
\(589\) | −5.37131 | − | 37.3583i | −0.221321 | − | 1.53932i | ||||
\(590\) | 14.5683 | − | 24.7079i | 0.599766 | − | 1.01721i | ||||
\(591\) | −18.7080 | − | 26.5386i | −0.769544 | − | 1.09165i | ||||
\(592\) | 7.78708 | + | 25.4815i | 0.320047 | + | 1.04728i | ||||
\(593\) | −9.38536 | − | 1.34941i | −0.385410 | − | 0.0554137i | −0.0531135 | − | 0.998588i | \(-0.516915\pi\) |
−0.332297 | + | 0.943175i | \(0.607824\pi\) | |||||||
\(594\) | 0.123343 | + | 0.385398i | 0.00506083 | + | 0.0158131i | ||||
\(595\) | −1.08525 | + | 1.25244i | −0.0444908 | + | 0.0513451i | ||||
\(596\) | 0.944946 | + | 2.49162i | 0.0387065 | + | 0.102061i | ||||
\(597\) | −4.92413 | − | 26.2210i | −0.201531 | − | 1.07316i | ||||
\(598\) | −21.5320 | − | 43.6283i | −0.880511 | − | 1.78409i | ||||
\(599\) | 13.9967i | 0.571889i | 0.958246 | + | 0.285944i | \(0.0923072\pi\) | ||||
−0.958246 | + | 0.285944i | \(0.907693\pi\) | |||||||
\(600\) | 3.14813 | − | 3.74800i | 0.128522 | − | 0.153012i | ||||
\(601\) | 5.37903 | − | 6.20774i | 0.219415 | − | 0.253219i | −0.635361 | − | 0.772215i | \(-0.719149\pi\) |
0.854776 | + | 0.518996i | \(0.173694\pi\) | |||||||
\(602\) | 1.40251 | − | 5.55863i | 0.0571620 | − | 0.226553i | ||||
\(603\) | 2.90178 | + | 12.4796i | 0.118170 | + | 0.508209i | ||||
\(604\) | −4.93680 | + | 13.4614i | −0.200876 | + | 0.547737i | ||||
\(605\) | −20.0086 | + | 9.13761i | −0.813464 | + | 0.371496i | ||||
\(606\) | −36.5503 | − | 13.2228i | −1.48475 | − | 0.537140i | ||||
\(607\) | −3.92066 | − | 27.2688i | −0.159135 | − | 1.10681i | −0.900233 | − | 0.435409i | \(-0.856604\pi\) |
0.741098 | − | 0.671397i | \(-0.234305\pi\) | |||||||
\(608\) | −31.0405 | − | 12.3609i | −1.25886 | − | 0.501299i | ||||
\(609\) | −18.5355 | − | 36.3787i | −0.751097 | − | 1.47414i | ||||
\(610\) | −21.3176 | − | 30.5239i | −0.863125 | − | 1.23588i | ||||
\(611\) | −0.562566 | + | 1.23185i | −0.0227590 | + | 0.0498353i | ||||
\(612\) | −1.42910 | − | 0.618829i | −0.0577680 | − | 0.0250147i | ||||
\(613\) | 15.3882 | + | 17.7589i | 0.621523 | + | 0.717276i | 0.975996 | − | 0.217790i | \(-0.0698849\pi\) |
−0.354472 | + | 0.935067i | \(0.615339\pi\) | |||||||
\(614\) | 12.3471 | − | 11.5590i | 0.498290 | − | 0.466485i | ||||
\(615\) | −2.28568 | + | 2.15868i | −0.0921676 | + | 0.0870464i | ||||
\(616\) | −0.366655 | − | 0.335772i | −0.0147730 | − | 0.0135286i | ||||
\(617\) | 34.7823 | + | 22.3532i | 1.40028 | + | 0.899908i | 0.999865 | − | 0.0164249i | \(-0.00522844\pi\) |
0.400418 | + | 0.916332i | \(0.368865\pi\) | |||||||
\(618\) | −17.5090 | − | 3.62811i | −0.704316 | − | 0.145944i | ||||
\(619\) | −11.9988 | − | 3.52317i | −0.482273 | − | 0.141608i | 0.0315538 | − | 0.999502i | \(-0.489954\pi\) |
−0.513827 | + | 0.857894i | \(0.671773\pi\) | |||||||
\(620\) | 15.4318 | + | 20.3802i | 0.619758 | + | 0.818490i | ||||
\(621\) | 18.4581 | + | 16.7421i | 0.740698 | + | 0.671838i | ||||
\(622\) | −7.03918 | − | 20.9571i | −0.282245 | − | 0.840304i | ||||
\(623\) | 15.6585 | − | 53.3280i | 0.627345 | − | 2.13654i | ||||
\(624\) | −35.7548 | + | 34.5190i | −1.43134 | + | 1.38187i | ||||
\(625\) | −15.9889 | − | 10.2755i | −0.639558 | − | 0.411019i | ||||
\(626\) | 24.9330 | − | 4.56915i | 0.996524 | − | 0.182620i | ||||
\(627\) | 0.386795 | + | 0.409551i | 0.0154471 | + | 0.0163559i | ||||
\(628\) | 9.11871 | + | 4.91437i | 0.363876 | + | 0.196105i | ||||
\(629\) | 1.13222 | + | 1.30665i | 0.0451446 | + | 0.0520997i | ||||
\(630\) | −20.1371 | − | 18.1188i | −0.802280 | − | 0.721869i | ||||
\(631\) | 26.5893 | + | 12.1429i | 1.05851 | + | 0.483403i | 0.867113 | − | 0.498111i | \(-0.165973\pi\) |
0.191392 | + | 0.981514i | \(0.438700\pi\) | |||||||
\(632\) | 8.35372 | + | 2.70415i | 0.332293 | + | 0.107565i | ||||
\(633\) | 14.6127 | + | 28.6797i | 0.580803 | + | 1.13991i | ||||
\(634\) | −0.000594885 | 0.00567995i | −2.36259e−5 | 0.000225580i | ||||||
\(635\) | −22.7502 | + | 3.27098i | −0.902813 | + | 0.129805i | ||||
\(636\) | −0.721125 | + | 31.2439i | −0.0285945 | + | 1.23890i | ||||
\(637\) | −20.8108 | + | 9.50399i | −0.824555 | + | 0.376562i | ||||
\(638\) | −0.448777 | − | 0.359619i | −0.0177672 | − | 0.0142375i | ||||
\(639\) | −6.17111 | + | 1.43492i | −0.244125 | + | 0.0567645i | ||||
\(640\) | 22.4496 | − | 2.85106i | 0.887397 | − | 0.112698i | ||||
\(641\) | −5.25986 | + | 6.07020i | −0.207752 | + | 0.239758i | −0.850057 | − | 0.526690i | \(-0.823433\pi\) |
0.642305 | + | 0.766449i | \(0.277978\pi\) | |||||||
\(642\) | −1.64903 | − | 7.23564i | −0.0650822 | − | 0.285568i | ||||
\(643\) | 30.1495 | 1.18898 | 0.594490 | − | 0.804103i | \(-0.297354\pi\) | ||||
0.594490 | + | 0.804103i | \(0.297354\pi\) | |||||||
\(644\) | −29.8986 | − | 6.59464i | −1.17817 | − | 0.259865i | ||||
\(645\) | −0.812031 | − | 4.32408i | −0.0319737 | − | 0.170260i | ||||
\(646\) | −2.16640 | + | 0.0833305i | −0.0852359 | + | 0.00327859i | ||||
\(647\) | −12.5040 | − | 10.8348i | −0.491584 | − | 0.425960i | 0.373467 | − | 0.927643i | \(-0.378169\pi\) |
−0.865051 | + | 0.501683i | \(0.832714\pi\) | |||||||
\(648\) | 10.5501 | − | 23.1667i | 0.414447 | − | 0.910073i | ||||
\(649\) | 0.552684 | + | 0.0794640i | 0.0216947 | + | 0.00311923i | ||||
\(650\) | −7.90966 | − | 6.33826i | −0.310242 | − | 0.248607i | ||||
\(651\) | −28.8766 | + | 20.3561i | −1.13176 | + | 0.797820i | ||||
\(652\) | 5.67334 | − | 26.7874i | 0.222185 | − | 1.04907i | ||||
\(653\) | 4.52439 | + | 31.4678i | 0.177053 | + | 1.23143i | 0.863537 | + | 0.504286i | \(0.168244\pi\) |
−0.686483 | + | 0.727145i | \(0.740847\pi\) | |||||||
\(654\) | 3.41913 | + | 41.9748i | 0.133699 | + | 1.64135i | ||||
\(655\) | −6.55218 | − | 22.3147i | −0.256015 | − | 0.871907i | ||||
\(656\) | 3.62967 | − | 0.0398708i | 0.141715 | − | 0.00155669i | ||||
\(657\) | −0.521786 | + | 9.12224i | −0.0203568 | + | 0.355893i | ||||
\(658\) | 0.383562 | + | 0.761031i | 0.0149528 | + | 0.0296681i | ||||
\(659\) | −14.1322 | + | 12.2456i | −0.550514 | + | 0.477023i | −0.885138 | − | 0.465329i | \(-0.845936\pi\) |
0.334624 | + | 0.942352i | \(0.391391\pi\) | |||||||
\(660\) | −0.363520 | − | 0.115915i | −0.0141500 | − | 0.00451198i | ||||
\(661\) | −1.09180 | + | 0.701659i | −0.0424662 | + | 0.0272914i | −0.561702 | − | 0.827340i | \(-0.689853\pi\) |
0.519235 | + | 0.854631i | \(0.326217\pi\) | |||||||
\(662\) | −14.6037 | + | 2.67623i | −0.567589 | + | 0.104014i | ||||
\(663\) | −1.21283 | + | 2.98814i | −0.0471026 | + | 0.116050i | ||||
\(664\) | −24.7725 | + | 6.54065i | −0.961360 | + | 0.253826i | ||||
\(665\) | −36.1832 | − | 10.6244i | −1.40313 | − | 0.411995i | ||||
\(666\) | −21.7005 | + | 18.1047i | −0.840877 | + | 0.701542i | ||||
\(667\) | −35.0117 | − | 5.33387i | −1.35566 | − | 0.206528i | ||||
\(668\) | −13.2088 | − | 17.4444i | −0.511064 | − | 0.674943i | ||||
\(669\) | 10.3738 | + | 1.04052i | 0.401074 | + | 0.0402288i | ||||
\(670\) | −11.1741 | − | 4.59256i | −0.431694 | − | 0.177426i | ||||
\(671\) | 0.391841 | − | 0.609716i | 0.0151269 | − | 0.0235378i | ||||
\(672\) | 2.88146 | + | 31.1428i | 0.111155 | + | 1.20136i | ||||
\(673\) | −6.29948 | + | 4.04843i | −0.242827 | + | 0.156055i | −0.656394 | − | 0.754418i | \(-0.727919\pi\) |
0.413567 | + | 0.910474i | \(0.364283\pi\) | |||||||
\(674\) | 2.14030 | − | 2.00369i | 0.0824412 | − | 0.0771792i | ||||
\(675\) | 4.95990 | + | 1.53376i | 0.190907 | + | 0.0590345i | ||||
\(676\) | 54.6852 | + | 54.0878i | 2.10328 | + | 2.08030i | ||||
\(677\) | 12.8312 | + | 5.85982i | 0.493144 | + | 0.225211i | 0.646434 | − | 0.762970i | \(-0.276260\pi\) |
−0.153290 | + | 0.988181i | \(0.548987\pi\) | |||||||
\(678\) | −14.4041 | + | 14.6915i | −0.553185 | + | 0.564223i | ||||
\(679\) | 16.3973 | − | 4.81468i | 0.629270 | − | 0.184770i | ||||
\(680\) | 1.25665 | − | 0.759671i | 0.0481904 | − | 0.0291321i | ||||
\(681\) | −27.4751 | + | 9.36275i | −1.05285 | + | 0.358781i | ||||
\(682\) | −0.252756 | + | 0.428675i | −0.00967851 | + | 0.0164148i | ||||
\(683\) | −6.31761 | − | 13.8336i | −0.241736 | − | 0.529329i | 0.749409 | − | 0.662107i | \(-0.230338\pi\) |
−0.991146 | + | 0.132778i | \(0.957610\pi\) | |||||||
\(684\) | −0.700024 | − | 35.4309i | −0.0267661 | − | 1.35473i | ||||
\(685\) | 4.21071 | + | 0.605408i | 0.160883 | + | 0.0231315i | ||||
\(686\) | 4.20848 | − | 16.6797i | 0.160681 | − | 0.636834i | ||||
\(687\) | 7.23631 | − | 12.3968i | 0.276083 | − | 0.472966i | ||||
\(688\) | −2.69921 | + | 4.30326i | −0.102906 | + | 0.164060i | ||||
\(689\) | 64.7165 | 2.46550 | ||||||||
\(690\) | −22.9528 | + | 5.02900i | −0.873797 | + | 0.191451i | ||||
\(691\) | 12.6547i | 0.481409i | 0.970598 | + | 0.240704i | \(0.0773785\pi\) | ||||
−0.970598 | + | 0.240704i | \(0.922622\pi\) | |||||||
\(692\) | 8.96971 | − | 3.40176i | 0.340977 | − | 0.129316i | ||||
\(693\) | 0.177217 | − | 0.496659i | 0.00673192 | − | 0.0188665i | ||||
\(694\) | 45.3515 | + | 11.4427i | 1.72152 | + | 0.434359i | ||||
\(695\) | −1.57252 | + | 10.9371i | −0.0596492 | + | 0.414869i | ||||
\(696\) | 5.69832 | + | 35.7258i | 0.215994 | + | 1.35418i | ||||
\(697\) | 0.214254 | − | 0.0978466i | 0.00811545 | − | 0.00370620i | ||||
\(698\) | −10.6890 | + | 18.1286i | −0.404585 | + | 0.686179i | ||||
\(699\) | 10.5986 | − | 3.61172i | 0.400877 | − | 0.136608i | ||||
\(700\) | −6.22528 | + | 1.39008i | −0.235293 | + | 0.0525400i | ||||
\(701\) | −6.77345 | − | 23.0683i | −0.255830 | − | 0.871276i | −0.982810 | − | 0.184618i | \(-0.940895\pi\) |
0.726981 | − | 0.686658i | \(-0.240923\pi\) | |||||||
\(702\) | −48.4645 | − | 20.7342i | −1.82917 | − | 0.782562i | ||||
\(703\) | −16.3437 | + | 35.7877i | −0.616415 | + | 1.34976i | ||||
\(704\) | 0.217466 | + | 0.383115i | 0.00819607 | + | 0.0144392i | ||||
\(705\) | 0.512177 | + | 0.406748i | 0.0192897 | + | 0.0153190i | ||||
\(706\) | 0.798459 | − | 0.747495i | 0.0300504 | − | 0.0281324i | ||||
\(707\) | 27.3845 | + | 42.6111i | 1.02990 | + | 1.60255i | ||||
\(708\) | −22.3837 | − | 27.0698i | −0.841230 | − | 1.01735i | ||||
\(709\) | −16.2304 | − | 10.4306i | −0.609544 | − | 0.391730i | 0.199142 | − | 0.979971i | \(-0.436185\pi\) |
−0.808686 | + | 0.588240i | \(0.799821\pi\) | |||||||
\(710\) | 2.27100 | − | 5.52555i | 0.0852292 | − | 0.207370i | ||||
\(711\) | 0.796810 | + | 9.27897i | 0.0298827 | + | 0.347988i | ||||
\(712\) | −27.7529 | + | 40.6831i | −1.04008 | + | 1.52466i | ||||
\(713\) | −0.256912 | + | 30.6452i | −0.00962143 | + | 1.14767i | ||||
\(714\) | 0.990157 | + | 1.77151i | 0.0370557 | + | 0.0662971i | ||||
\(715\) | −0.222601 | + | 0.758110i | −0.00832481 | + | 0.0283517i | ||||
\(716\) | −0.255505 | + | 3.87109i | −0.00954866 | + | 0.144669i | ||||
\(717\) | −8.73368 | + | 21.5177i | −0.326165 | + | 0.803594i | ||||
\(718\) | −2.82749 | − | 15.4291i | −0.105521 | − | 0.575810i | ||||
\(719\) | −26.5692 | − | 41.3425i | −0.990865 | − | 1.54182i | −0.832194 | − | 0.554485i | \(-0.812915\pi\) |
−0.158672 | − | 0.987331i | \(-0.550721\pi\) | |||||||
\(720\) | 12.0314 | + | 20.7695i | 0.448383 | + | 0.774033i | ||||
\(721\) | 15.2594 | + | 17.6103i | 0.568289 | + | 0.655841i | ||||
\(722\) | −10.1104 | − | 20.0601i | −0.376269 | − | 0.746560i | ||||
\(723\) | −36.1753 | − | 8.95891i | −1.34537 | − | 0.333185i | ||||
\(724\) | 13.8656 | − | 18.7358i | 0.515309 | − | 0.696311i | ||||
\(725\) | −7.07938 | + | 2.07869i | −0.262922 | + | 0.0772007i | ||||
\(726\) | 2.18695 | + | 26.8480i | 0.0811654 | + | 0.996424i | ||||
\(727\) | 39.9591 | − | 5.74525i | 1.48200 | − | 0.213079i | 0.646645 | − | 0.762791i | \(-0.276171\pi\) |
0.835355 | + | 0.549711i | \(0.185262\pi\) | |||||||
\(728\) | 64.3351 | − | 7.45335i | 2.38442 | − | 0.276240i | ||||
\(729\) | 26.9889 | + | 0.772406i | 0.999591 | + | 0.0286076i | ||||
\(730\) | −6.72323 | − | 5.38754i | −0.248838 | − | 0.199402i | ||||
\(731\) | −0.0469096 | + | 0.326263i | −0.00173501 | + | 0.0120673i | ||||
\(732\) | −44.0315 | + | 11.8324i | −1.62745 | + | 0.437336i | ||||
\(733\) | −13.7800 | + | 15.9030i | −0.508977 | + | 0.587390i | −0.950836 | − | 0.309694i | \(-0.899773\pi\) |
0.441860 | + | 0.897084i | \(0.354319\pi\) | |||||||
\(734\) | −1.48869 | − | 38.7025i | −0.0549485 | − | 1.42854i | ||||
\(735\) | 2.03934 | + | 10.8595i | 0.0752222 | + | 0.400559i | ||||
\(736\) | 23.4053 | + | 13.7183i | 0.862730 | + | 0.505664i | ||||
\(737\) | − | 0.235181i | − | 0.00866299i | ||||||
\(738\) | 1.53365 | + | 3.53144i | 0.0564544 | + | 0.129994i | ||||
\(739\) | −8.49777 | − | 7.36336i | −0.312595 | − | 0.270866i | 0.484405 | − | 0.874844i | \(-0.339036\pi\) |
−0.797001 | + | 0.603978i | \(0.793581\pi\) | |||||||
\(740\) | −2.04698 | − | 26.5690i | −0.0752484 | − | 0.976696i | ||||
\(741\) | −73.3167 | + | 3.14217i | −2.69336 | + | 0.115431i | ||||
\(742\) | 25.4675 | − | 31.7815i | 0.934941 | − | 1.16673i | ||||
\(743\) | −4.47602 | − | 9.80111i | −0.164209 | − | 0.359568i | 0.809584 | − | 0.587004i | \(-0.199693\pi\) |
−0.973793 | + | 0.227437i | \(0.926966\pi\) | |||||||
\(744\) | 29.8983 | − | 9.28036i | 1.09612 | − | 0.340235i | ||||
\(745\) | −0.379280 | − | 2.63795i | −0.0138957 | − | 0.0966470i | ||||
\(746\) | −3.99211 | + | 38.1166i | −0.146162 | + | 1.39555i | ||||
\(747\) | −16.5944 | − | 21.5207i | −0.607156 | − | 0.787402i | ||||
\(748\) | 0.0229777 | + | 0.0170048i | 0.000840148 | + | 0.000621756i | ||||
\(749\) | −4.01746 | + | 8.79702i | −0.146795 | + | 0.321436i | ||||
\(750\) | −23.3550 | + | 17.8460i | −0.852805 | + | 0.651644i | ||||
\(751\) | −12.1309 | + | 10.5115i | −0.442662 | + | 0.383569i | −0.847479 | − | 0.530829i | \(-0.821881\pi\) |
0.404817 | + | 0.914398i | \(0.367335\pi\) | |||||||
\(752\) | −0.115671 | − | 0.746227i | −0.00421808 | − | 0.0272121i | ||||
\(753\) | −16.7665 | − | 17.7529i | −0.611003 | − | 0.646951i | ||||
\(754\) | 73.6884 | − | 13.5039i | 2.68357 | − | 0.491783i | ||||
\(755\) | 7.75261 | − | 12.0633i | 0.282146 | − | 0.439028i | ||||
\(756\) | −29.2542 | + | 15.6409i | −1.06397 | + | 0.568854i | ||||
\(757\) | 33.3100 | + | 9.78071i | 1.21067 | + | 0.355486i | 0.823925 | − | 0.566699i | \(-0.191780\pi\) |
0.386749 | + | 0.922185i | \(0.373598\pi\) | |||||||
\(758\) | 6.73202 | − | 2.26118i | 0.244518 | − | 0.0821299i | ||||
\(759\) | −0.260405 | − | 0.376058i | −0.00945209 | − | 0.0136500i | ||||
\(760\) | 27.6036 | + | 18.8304i | 1.00129 | + | 0.683051i | ||||
\(761\) | −7.30750 | + | 24.8871i | −0.264897 | + | 0.902155i | 0.714402 | + | 0.699735i | \(0.246699\pi\) |
−0.979299 | + | 0.202420i | \(0.935119\pi\) | |||||||
\(762\) | −5.71104 | + | 27.5611i | −0.206889 | + | 0.998434i | ||||
\(763\) | 29.6709 | − | 46.1688i | 1.07416 | − | 1.67142i | ||||
\(764\) | 12.7820 | + | 23.1058i | 0.462436 | + | 0.835940i | ||||
\(765\) | 1.26003 | + | 0.915497i | 0.0455564 | + | 0.0330999i | ||||
\(766\) | 20.1329 | + | 21.5055i | 0.727431 | + | 0.777026i | ||||
\(767\) | −54.9712 | + | 47.6328i | −1.98489 | + | 1.71992i | ||||
\(768\) | 6.06938 | − | 27.0400i | 0.219010 | − | 0.975723i | ||||
\(769\) | −28.6177 | − | 13.0693i | −1.03198 | − | 0.471290i | −0.173878 | − | 0.984767i | \(-0.555630\pi\) |
−0.858103 | + | 0.513477i | \(0.828357\pi\) | |||||||
\(770\) | 0.284699 | + | 0.407650i | 0.0102598 | + | 0.0146907i | ||||
\(771\) | −12.5522 | − | 24.6356i | −0.452056 | − | 0.887229i | ||||
\(772\) | 6.13771 | + | 27.4869i | 0.220901 | + | 0.989275i | ||||
\(773\) | 31.1136 | − | 4.47346i | 1.11908 | − | 0.160899i | 0.442145 | − | 0.896943i | \(-0.354217\pi\) |
0.676934 | + | 0.736044i | \(0.263308\pi\) | |||||||
\(774\) | −5.31778 | − | 0.866316i | −0.191144 | − | 0.0311391i | ||||
\(775\) | 2.65227 | + | 5.80767i | 0.0952725 | + | 0.208618i | ||||
\(776\) | −15.1370 | − | 0.415792i | −0.543385 | − | 0.0149261i | ||||
\(777\) | 36.7949 | − | 1.57694i | 1.32001 | − | 0.0565724i | ||||
\(778\) | 9.82051 | − | 38.9221i | 0.352082 | − | 1.39542i | ||||
\(779\) | 4.05068 | + | 3.50993i | 0.145130 | + | 0.125756i | ||||
\(780\) | 42.4227 | − | 25.9001i | 1.51898 | − | 0.927373i | ||||
\(781\) | 0.116296 | 0.00416139 | ||||||||
\(782\) | 1.74921 | + | 0.198041i | 0.0625517 | + | 0.00708192i | ||||
\(783\) | −32.5740 | + | 20.2815i | −1.16410 | + | 0.724802i | ||||
\(784\) | 6.77882 | − | 10.8072i | 0.242101 | − | 0.385972i | ||||
\(785\) | −7.82941 | − | 6.78422i | −0.279444 | − | 0.242139i | ||||
\(786\) | −28.4266 | − | 1.75108i | −1.01394 | − | 0.0624590i | ||||
\(787\) | 3.30702 | − | 23.0009i | 0.117883 | − | 0.819892i | −0.841997 | − | 0.539482i | \(-0.818620\pi\) |
0.959880 | − | 0.280411i | \(-0.0904707\pi\) | |||||||
\(788\) | 12.9093 | − | 35.2004i | 0.459874 | − | 1.25396i | ||||
\(789\) | −11.9056 | − | 16.8890i | −0.423852 | − | 0.601264i | ||||
\(790\) | −7.56444 | − | 4.46015i | −0.269131 | − | 0.158685i | ||||
\(791\) | 26.5391 | − | 3.81575i | 0.943623 | − | 0.135673i | ||||
\(792\) | −0.284928 | + | 0.370329i | −0.0101245 | + | 0.0131591i | ||||
\(793\) | 26.5996 | + | 90.5900i | 0.944580 | + | 3.21694i | ||||
\(794\) | −15.6370 | − | 22.3901i | −0.554937 | − | 0.794595i | ||||
\(795\) | 7.51355 | − | 30.3391i | 0.266478 | − | 1.07602i | ||||
\(796\) | 21.6637 | − | 21.9029i | 0.767848 | − | 0.776329i | ||||
\(797\) | −37.6837 | + | 32.6531i | −1.33482 | + | 1.15663i | −0.360176 | + | 0.932884i | \(0.617284\pi\) |
−0.974647 | + | 0.223747i | \(0.928171\pi\) | |||||||
\(798\) | −27.3088 | + | 37.2414i | −0.966720 | + | 1.31833i | ||||
\(799\) | −0.0264914 | − | 0.0412214i | −0.000937198 | − | 0.00145831i | ||||
\(800\) | 5.62731 | + | 0.526951i | 0.198955 | + | 0.0186305i | ||||
\(801\) | −51.1945 | − | 10.3743i | −1.80887 | − | 0.366557i | ||||
\(802\) | 17.3928 | − | 42.3181i | 0.614160 | − | 1.49431i | ||||
\(803\) | 0.0472514 | − | 0.160923i | 0.00166747 | − | 0.00567887i | ||||
\(804\) | −9.94384 | + | 10.9545i | −0.350692 | + | 0.386336i | ||||
\(805\) | 27.7459 | + | 12.9533i | 0.977914 | + | 0.456544i | ||||
\(806\) | −20.6411 | − | 61.4529i | −0.727052 | − | 2.16459i | ||||
\(807\) | 14.0266 | + | 1.40690i | 0.493758 | + | 0.0495253i | ||||
\(808\) | −11.4574 | − | 43.3945i | −0.403069 | − | 1.52661i | ||||
\(809\) | −25.0021 | + | 38.9040i | −0.879027 | + | 1.36779i | 0.0503776 | + | 0.998730i | \(0.483958\pi\) |
−0.929405 | + | 0.369062i | \(0.879679\pi\) | |||||||
\(810\) | −15.3469 | + | 20.3129i | −0.539234 | + | 0.713723i | ||||
\(811\) | −20.3146 | − | 31.6101i | −0.713342 | − | 1.10998i | −0.988883 | − | 0.148693i | \(-0.952494\pi\) |
0.275541 | − | 0.961289i | \(-0.411143\pi\) | |||||||
\(812\) | 22.3665 | − | 41.5015i | 0.784911 | − | 1.45642i | ||||
\(813\) | −0.729770 | − | 0.579551i | −0.0255941 | − | 0.0203257i | ||||
\(814\) | 0.463238 | − | 0.233473i | 0.0162365 | − | 0.00818323i | ||||
\(815\) | −11.3760 | + | 24.9099i | −0.398482 | + | 0.872555i | ||||
\(816\) | −0.351290 | − | 1.76360i | −0.0122976 | − | 0.0617385i | ||||
\(817\) | −7.19679 | + | 2.11317i | −0.251784 | + | 0.0739304i | ||||
\(818\) | 0.121824 | − | 1.16317i | 0.00425947 | − | 0.0406694i | ||||
\(819\) | 33.7781 | + | 59.8156i | 1.18030 | + | 2.09013i | ||||
\(820\) | −3.55151 | − | 0.752180i | −0.124024 | − | 0.0262672i | ||||
\(821\) | −6.72843 | − | 14.7332i | −0.234824 | − | 0.514193i | 0.755131 | − | 0.655574i | \(-0.227573\pi\) |
−0.989955 | + | 0.141381i | \(0.954846\pi\) | |||||||
\(822\) | 2.45137 | − | 4.59671i | 0.0855012 | − | 0.160329i | ||||
\(823\) | 4.58527 | − | 31.8913i | 0.159833 | − | 1.11166i | −0.739107 | − | 0.673588i | \(-0.764752\pi\) |
0.898940 | − | 0.438072i | \(-0.144339\pi\) | |||||||
\(824\) | −8.05820 | − | 19.0097i | −0.280721 | − | 0.662236i | ||||
\(825\) | −0.0822998 | − | 0.0480405i | −0.00286531 | − | 0.00167256i | ||||
\(826\) | 1.75940 | + | 45.7403i | 0.0612172 | + | 1.59151i | ||||
\(827\) | − | 37.6484i | − | 1.30916i | −0.755991 | − | 0.654582i | \(-0.772845\pi\) | ||
0.755991 | − | 0.654582i | \(-0.227155\pi\) | |||||||
\(828\) | −3.77096 | + | 28.5268i | −0.131050 | + | 0.991376i | ||||
\(829\) | − | 26.5649i | − | 0.922637i | −0.887235 | − | 0.461319i | \(-0.847377\pi\) | ||
0.887235 | − | 0.461319i | \(-0.152623\pi\) | |||||||
\(830\) | 25.6053 | − | 0.984906i | 0.888773 | − | 0.0341866i | ||||
\(831\) | −24.4117 | − | 14.2498i | −0.846833 | − | 0.494319i | ||||
\(832\) | −56.2691 | − | 11.2730i | −1.95078 | − | 0.390821i | ||||
\(833\) | 0.117809 | − | 0.819379i | 0.00408184 | − | 0.0283898i | ||||
\(834\) | 11.9398 | + | 6.36732i | 0.413440 | + | 0.220482i | ||||
\(835\) | 9.09068 | + | 19.9058i | 0.314596 | + | 0.688869i | ||||
\(836\) | −0.134776 | + | 0.636364i | −0.00466134 | + | 0.0220091i | ||||
\(837\) | 21.3831 | + | 25.4027i | 0.739107 | + | 0.878047i | ||||
\(838\) | 6.06223 | + | 0.634923i | 0.209416 | + | 0.0219330i | ||||
\(839\) | 36.7802 | − | 10.7996i | 1.26979 | − | 0.372845i | 0.423662 | − | 0.905820i | \(-0.360744\pi\) |
0.846131 | + | 0.532976i | \(0.178926\pi\) | |||||||
\(840\) | 3.97513 | − | 31.0256i | 0.137155 | − | 1.07048i | ||||
\(841\) | 10.6070 | − | 23.2261i | 0.365758 | − | 0.800899i | ||||
\(842\) | 6.06436 | + | 12.0324i | 0.208992 | + | 0.414664i | ||||
\(843\) | −27.7917 | − | 22.0709i | −0.957197 | − | 0.760164i | ||||
\(844\) | −17.6330 | + | 32.7183i | −0.606951 | + | 1.12621i | ||||
\(845\) | −41.5881 | − | 64.7124i | −1.43067 | − | 2.22617i | ||||
\(846\) | 0.681773 | − | 0.420355i | 0.0234399 | − | 0.0144521i | ||||
\(847\) | 18.9782 | − | 29.5306i | 0.652098 | − | 1.01468i | ||||
\(848\) | −30.1421 | + | 19.8424i | −1.03509 | + | 0.681389i | ||||
\(849\) | 11.7094 | + | 1.17449i | 0.401867 | + | 0.0403083i | ||||
\(850\) | 0.347659 | − | 0.116774i | 0.0119246 | − | 0.00400530i | ||||
\(851\) | 17.4960 | − | 26.7290i | 0.599756 | − | 0.916258i | ||||
\(852\) | −5.41696 | − | 4.91719i | −0.185582 | − | 0.168460i | ||||
\(853\) | 11.6489 | − | 39.6724i | 0.398849 | − | 1.35836i | −0.478325 | − | 0.878183i | \(-0.658756\pi\) |
0.877174 | − | 0.480173i | \(-0.159426\pi\) | |||||||
\(854\) | 54.9551 | + | 22.5866i | 1.88053 | + | 0.772896i | ||||
\(855\) | −7.03897 | + | 34.7356i | −0.240728 | + | 1.18793i | ||||
\(856\) | 5.78737 | − | 6.31967i | 0.197808 | − | 0.216002i | ||||
\(857\) | −11.3135 | − | 17.6042i | −0.386463 | − | 0.601348i | 0.592455 | − | 0.805604i | \(-0.298159\pi\) |
−0.978918 | + | 0.204256i | \(0.934523\pi\) | |||||||
\(858\) | 0.780280 | + | 0.572172i | 0.0266383 | + | 0.0195336i | ||||
\(859\) | −26.8976 | + | 23.3069i | −0.917736 | + | 0.795223i | −0.979202 | − | 0.202886i | \(-0.934968\pi\) |
0.0614664 | + | 0.998109i | \(0.480422\pi\) | |||||||
\(860\) | 3.57253 | − | 3.61199i | 0.121822 | − | 0.123168i | ||||
\(861\) | 1.20610 | − | 4.87014i | 0.0411039 | − | 0.165974i | ||||
\(862\) | −16.6163 | + | 11.6046i | −0.565953 | + | 0.395256i | ||||
\(863\) | 6.94888 | + | 23.6657i | 0.236543 | + | 0.805590i | 0.989123 | + | 0.147090i | \(0.0469906\pi\) |
−0.752581 | + | 0.658500i | \(0.771191\pi\) | |||||||
\(864\) | 28.9298 | − | 5.20233i | 0.984213 | − | 0.176987i | ||||
\(865\) | −9.49650 | + | 1.36539i | −0.322891 | + | 0.0464247i | ||||
\(866\) | −2.74292 | + | 4.65200i | −0.0932081 | + | 0.158082i | ||||
\(867\) | 16.8979 | + | 23.9709i | 0.573883 | + | 0.814094i | ||||
\(868\) | −38.3015 | − | 14.0466i | −1.30004 | − | 0.476772i | ||||
\(869\) | 0.0243283 | − | 0.169207i | 0.000825281 | − | 0.00573996i | ||||
\(870\) | 2.22456 | − | 36.1129i | 0.0754196 | − | 1.22434i | ||||
\(871\) | 23.1535 | + | 20.0626i | 0.784526 | + | 0.679796i | ||||
\(872\) | −37.6118 | + | 30.8240i | −1.27370 | + | 1.04383i | ||||
\(873\) | −5.82688 | − | 14.9670i | −0.197210 | − | 0.506556i | ||||
\(874\) | 12.4360 | + | 38.0792i | 0.420654 | + | 1.28805i | ||||
\(875\) | 38.3035 | 1.29489 | ||||||||
\(876\) | −9.00505 | + | 5.49781i | −0.304252 | + | 0.185754i | ||||
\(877\) | 9.90976 | + | 8.58686i | 0.334629 | + | 0.289958i | 0.805925 | − | 0.592017i | \(-0.201668\pi\) |
−0.471296 | + | 0.881975i | \(0.656214\pi\) | |||||||
\(878\) | 14.9139 | + | 3.76296i | 0.503321 | + | 0.126994i | ||||
\(879\) | −7.26222 | + | 0.311241i | −0.244949 | + | 0.0104979i | ||||
\(880\) | −0.128762 | − | 0.421345i | −0.00434055 | − | 0.0142035i | ||||
\(881\) | −10.5992 | − | 23.2090i | −0.357097 | − | 0.781933i | −0.999874 | − | 0.0158795i | \(-0.994945\pi\) |
0.642777 | − | 0.766053i | \(-0.277782\pi\) | |||||||
\(882\) | 13.3551 | + | 2.17567i | 0.449689 | + | 0.0732586i | ||||
\(883\) | 41.1951 | − | 5.92297i | 1.38633 | − | 0.199324i | 0.591571 | − | 0.806253i | \(-0.298508\pi\) |
0.794756 | + | 0.606929i | \(0.207599\pi\) | |||||||
\(884\) | −3.63428 | + | 0.811519i | −0.122234 | + | 0.0272944i | ||||
\(885\) | 15.9481 | + | 31.3006i | 0.536090 | + | 1.05216i | ||||
\(886\) | 37.2528 | − | 26.0170i | 1.25153 | − | 0.874058i | ||||
\(887\) | −1.40912 | − | 0.643526i | −0.0473138 | − | 0.0216075i | 0.391618 | − | 0.920128i | \(-0.371916\pi\) |
−0.438931 | + | 0.898521i | \(0.644643\pi\) | |||||||
\(888\) | −31.4489 | − | 8.71151i | −1.05535 | − | 0.292339i | ||||
\(889\) | 27.7205 | − | 24.0199i | 0.929715 | − | 0.805603i | ||||
\(890\) | 35.9557 | − | 33.6608i | 1.20524 | − | 1.12831i | ||||
\(891\) | −0.479313 | − | 0.126007i | −0.0160576 | − | 0.00422139i | ||||
\(892\) | 5.82749 | + | 10.5343i | 0.195119 | + | 0.352714i | ||||
\(893\) | 0.602825 | − | 0.938013i | 0.0201728 | − | 0.0313894i | ||||
\(894\) | −3.19579 | − | 0.662212i | −0.106883 | − | 0.0221477i | ||||
\(895\) | 1.09310 | − | 3.72277i | 0.0365384 | − | 0.124439i | ||||
\(896\) | −27.6792 | + | 23.1968i | −0.924698 | + | 0.774952i | ||||
\(897\) | 59.2373 | + | 6.44369i | 1.97788 | + | 0.215149i | ||||
\(898\) | 2.60681 | + | 7.76102i | 0.0869904 | + | 0.258989i | ||||
\(899\) | −45.2781 | − | 13.2948i | −1.51011 | − | 0.443408i | ||||
\(900\) | 1.80222 | + | 5.71746i | 0.0600739 | + | 0.190582i | ||||
\(901\) | −1.26599 | + | 1.96991i | −0.0421761 | + | 0.0656273i | ||||
\(902\) | −0.0127387 | − | 0.0695127i | −0.000424151 | − | 0.00231452i | ||||
\(903\) | 4.82094 | + | 5.10457i | 0.160431 | + | 0.169869i | ||||
\(904\) | −23.4141 | − | 4.02548i | −0.778740 | − | 0.133886i | ||||
\(905\) | −17.6173 | + | 15.2655i | −0.585618 | + | 0.507441i | ||||
\(906\) | −10.6620 | − | 13.9533i | −0.354220 | − | 0.463567i | ||||
\(907\) | −18.3070 | + | 40.0867i | −0.607873 | + | 1.33106i | 0.316147 | + | 0.948710i | \(0.397611\pi\) |
−0.924019 | + | 0.382345i | \(0.875116\pi\) | |||||||
\(908\) | −26.9416 | − | 19.9383i | −0.894089 | − | 0.661676i | ||||
\(909\) | 37.6983 | − | 29.0687i | 1.25037 | − | 0.964147i | ||||
\(910\) | −64.4200 | − | 6.74698i | −2.13550 | − | 0.223660i | ||||
\(911\) | 6.63428 | + | 46.1424i | 0.219803 | + | 1.52877i | 0.738762 | + | 0.673967i | \(0.235411\pi\) |
−0.518959 | + | 0.854799i | \(0.673680\pi\) | |||||||
\(912\) | 33.1843 | − | 23.9427i | 1.09884 | − | 0.792821i | ||||
\(913\) | 0.207218 | + | 0.453745i | 0.00685793 | + | 0.0150168i | ||||
\(914\) | 22.7155 | + | 18.2027i | 0.751363 | + | 0.602091i | ||||
\(915\) | 45.5567 | − | 1.95245i | 1.50606 | − | 0.0645459i | ||||
\(916\) | 16.5259 | − | 1.27322i | 0.546030 | − | 0.0420682i | ||||
\(917\) | 28.0493 | + | 24.3049i | 0.926270 | + | 0.802617i | ||||
\(918\) | 1.57919 | − | 1.06961i | 0.0521211 | − | 0.0353024i | ||||
\(919\) | 41.0957i | 1.35562i | 0.735236 | + | 0.677812i | \(0.237072\pi\) | ||||
−0.735236 | + | 0.677812i | \(0.762928\pi\) | |||||||
\(920\) | −19.8553 | − | 18.4913i | −0.654609 | − | 0.609640i | ||||
\(921\) | 3.82323 | + | 20.3587i | 0.125980 | + | 0.670843i | ||||
\(922\) | 4.23403 | − | 0.162862i | 0.139440 | − | 0.00536356i | ||||
\(923\) | −9.92088 | + | 11.4493i | −0.326550 | + | 0.376858i | ||||
\(924\) | 0.588045 | − | 0.158022i | 0.0193453 | − | 0.00519855i | ||||
\(925\) | 0.947164 | − | 6.58767i | 0.0311425 | − | 0.216601i | ||||
\(926\) | −12.4475 | + | 15.5336i | −0.409052 | + | 0.510465i | ||||
\(927\) | 15.2629 | − | 15.7046i | 0.501301 | − | 0.515808i | ||||
\(928\) | −30.1805 | + | 28.8827i | −0.990723 | + | 0.948121i | ||||
\(929\) | 29.1277 | − | 4.18794i | 0.955650 | − | 0.137402i | 0.353191 | − | 0.935551i | \(-0.385097\pi\) |
0.602459 | + | 0.798150i | \(0.294188\pi\) | |||||||
\(930\) | −31.2055 | + | 2.54190i | −1.02327 | + | 0.0833521i | ||||
\(931\) | 18.0741 | − | 5.30703i | 0.592354 | − | 0.173931i | ||||
\(932\) | 10.3928 | + | 7.69128i | 0.340429 | + | 0.251936i | ||||
\(933\) | 26.2823 | + | 6.50888i | 0.860445 | + | 0.213091i | ||||
\(934\) | −32.7436 | + | 16.5029i | −1.07140 | + | 0.539991i | ||||
\(935\) | −0.0187216 | − | 0.0216059i | −0.000612263 | − | 0.000706589i | ||||
\(936\) | −12.1523 | − | 59.6429i | −0.397212 | − | 1.94949i | ||||
\(937\) | −7.25428 | − | 11.2879i | −0.236987 | − | 0.368759i | 0.702306 | − | 0.711875i | \(-0.252154\pi\) |
−0.939293 | + | 0.343116i | \(0.888517\pi\) | |||||||
\(938\) | 18.9639 | − | 3.47527i | 0.619194 | − | 0.113472i | ||||
\(939\) | −11.6756 | + | 28.7660i | −0.381019 | + | 0.938741i | ||||
\(940\) | −0.0497388 | + | 0.753581i | −0.00162230 | + | 0.0245791i | ||||
\(941\) | −5.82395 | + | 19.8345i | −0.189855 | + | 0.646588i | 0.808459 | + | 0.588552i | \(0.200302\pi\) |
−0.998315 | + | 0.0580354i | \(0.981516\pi\) | |||||||
\(942\) | −11.0743 | + | 6.18978i | −0.360819 | + | 0.201674i | ||||
\(943\) | −2.82234 | − | 3.31287i | −0.0919080 | − | 0.107882i | ||||
\(944\) | 10.9988 | − | 39.0397i | 0.357980 | − | 1.27063i | ||||
\(945\) | 31.9632 | − | 8.89059i | 1.03976 | − | 0.289211i | ||||
\(946\) | 0.0914728 | + | 0.0375953i | 0.00297404 | + | 0.00122233i | ||||
\(947\) | −14.6406 | − | 9.40895i | −0.475756 | − | 0.305750i | 0.280699 | − | 0.959796i | \(-0.409434\pi\) |
−0.756455 | + | 0.654046i | \(0.773070\pi\) | |||||||
\(948\) | −8.28756 | + | 6.85288i | −0.269167 | + | 0.222571i | ||||
\(949\) | 11.8120 | + | 18.3798i | 0.383434 | + | 0.596635i | ||||
\(950\) | 5.70352 | + | 6.09239i | 0.185047 | + | 0.197663i | ||||
\(951\) | −0.00547740 | − | 0.00434991i | −0.000177617 | − | 0.000141055i | ||||
\(952\) | −1.03165 | + | 2.10410i | −0.0334359 | + | 0.0681943i | ||||
\(953\) | 3.41827 | − | 7.48496i | 0.110729 | − | 0.242462i | −0.846153 | − | 0.532940i | \(-0.821087\pi\) |
0.956882 | + | 0.290478i | \(0.0938144\pi\) | |||||||
\(954\) | −31.8074 | − | 21.2918i | −1.02980 | − | 0.689346i | ||||
\(955\) | −7.44015 | − | 25.3388i | −0.240757 | − | 0.819945i | ||||
\(956\) | −26.1706 | + | 5.84379i | −0.846419 | + | 0.189002i | ||||
\(957\) | 0.666689 | − | 0.227189i | 0.0215510 | − | 0.00734399i | ||||
\(958\) | −23.2277 | − | 13.6955i | −0.750452 | − | 0.442482i | ||||
\(959\) | −6.17532 | + | 2.82017i | −0.199411 | + | 0.0910681i | ||||
\(960\) | −11.8176 | + | 25.0701i | −0.381411 | + | 0.809135i | ||||
\(961\) | −1.39961 | + | 9.73453i | −0.0451488 | + | 0.314017i | ||||
\(962\) | −16.5321 | + | 65.5226i | −0.533018 | + | 2.11253i | ||||
\(963\) | 8.56042 | + | 3.05452i | 0.275856 | + | 0.0984304i | ||||
\(964\) | −15.2599 | − | 40.2371i | −0.491488 | − | 1.29595i | ||||
\(965\) | − | 28.1669i | − | 0.906725i | ||||||
\(966\) | 26.4757 | − | 26.5549i | 0.851841 | − | 0.854391i | ||||
\(967\) | −26.3208 | −0.846420 | −0.423210 | − | 0.906032i | \(-0.639097\pi\) | ||||
−0.423210 | + | 0.906032i | \(0.639097\pi\) | |||||||
\(968\) | −24.0574 | + | 19.7157i | −0.773233 | + | 0.633687i | ||||
\(969\) | 1.33858 | − | 2.29316i | 0.0430013 | − | 0.0736669i | ||||
\(970\) | 14.6841 | + | 3.70498i | 0.471479 | + | 0.118960i | ||||
\(971\) | −15.2635 | − | 2.19456i | −0.489829 | − | 0.0704268i | −0.107025 | − | 0.994256i | \(-0.534133\pi\) |
−0.382804 | + | 0.923829i | \(0.625042\pi\) | |||||||
\(972\) | 16.9982 | + | 26.1355i | 0.545217 | + | 0.838295i | ||||
\(973\) | −7.32528 | − | 16.0401i | −0.234838 | − | 0.514223i | ||||
\(974\) | 5.74660 | + | 3.38831i | 0.184133 | + | 0.108569i | ||||
\(975\) | 11.7504 | − | 4.00419i | 0.376312 | − | 0.128237i | ||||
\(976\) | −40.1642 | − | 34.0373i | −1.28562 | − | 1.08951i | ||||
\(977\) | 31.3903 | − | 9.21703i | 1.00427 | − | 0.294879i | 0.262060 | − | 0.965051i | \(-0.415598\pi\) |
0.742205 | + | 0.670172i | \(0.233780\pi\) | |||||||
\(978\) | 23.9462 | + | 23.4778i | 0.765715 | + | 0.750736i | ||||
\(979\) | 0.872157 | + | 0.398301i | 0.0278742 | + | 0.0127297i | ||||
\(980\) | −8.97207 | + | 9.07116i | −0.286602 | + | 0.289768i | ||||
\(981\) | −45.6175 | − | 24.0709i | −1.45645 | − | 0.768524i | ||||
\(982\) | −11.4477 | − | 12.2282i | −0.365312 | − | 0.390218i | ||||
\(983\) | −36.2739 | + | 23.3118i | −1.15696 | + | 0.743532i | −0.971013 | − | 0.239028i | \(-0.923171\pi\) |
−0.185946 | + | 0.982560i | \(0.559535\pi\) | |||||||
\(984\) | −2.34576 | + | 3.77645i | −0.0747801 | + | 0.120389i | ||||
\(985\) | −20.2724 | + | 31.5445i | −0.645932 | + | 1.00509i | ||||
\(986\) | −1.03045 | + | 2.50717i | −0.0328161 | + | 0.0798445i | ||||
\(987\) | −1.03855 | − | 0.104169i | −0.0330573 | − | 0.00331574i | ||||
\(988\) | −51.1525 | − | 67.5552i | −1.62738 | − | 2.14922i | ||||
\(989\) | 6.03546 | − | 0.816186i | 0.191916 | − | 0.0259532i | ||||
\(990\) | 0.358824 | − | 0.299366i | 0.0114042 | − | 0.00951448i | ||||
\(991\) | −52.2985 | − | 15.3562i | −1.66132 | − | 0.487806i | −0.689646 | − | 0.724147i | \(-0.742234\pi\) |
−0.971670 | + | 0.236340i | \(0.924052\pi\) | |||||||
\(992\) | 28.4554 | + | 22.2934i | 0.903461 | + | 0.707817i | ||||
\(993\) | 6.83860 | − | 16.8487i | 0.217016 | − | 0.534677i | ||||
\(994\) | 1.71851 | + | 9.37759i | 0.0545077 | + | 0.297439i | ||||
\(995\) | −25.9191 | + | 16.6572i | −0.821690 | + | 0.528068i | ||||
\(996\) | 9.53307 | − | 29.8966i | 0.302067 | − | 0.947310i | ||||
\(997\) | −22.2705 | + | 19.2975i | −0.705313 | + | 0.611157i | −0.931849 | − | 0.362845i | \(-0.881805\pi\) |
0.226536 | + | 0.974003i | \(0.427260\pi\) | |||||||
\(998\) | 48.9020 | − | 24.6468i | 1.54797 | − | 0.780180i | ||||
\(999\) | −4.43529 | − | 34.3273i | −0.140326 | − | 1.08607i |
(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.bf.a.5.2 | ✓ | 920 | |
3.2 | odd | 2 | inner | 552.2.bf.a.5.91 | yes | 920 | |
8.5 | even | 2 | inner | 552.2.bf.a.5.75 | yes | 920 | |
23.14 | odd | 22 | inner | 552.2.bf.a.221.18 | yes | 920 | |
24.5 | odd | 2 | inner | 552.2.bf.a.5.18 | yes | 920 | |
69.14 | even | 22 | inner | 552.2.bf.a.221.75 | yes | 920 | |
184.37 | odd | 22 | inner | 552.2.bf.a.221.91 | yes | 920 | |
552.221 | even | 22 | inner | 552.2.bf.a.221.2 | yes | 920 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
552.2.bf.a.5.2 | ✓ | 920 | 1.1 | even | 1 | trivial | |
552.2.bf.a.5.18 | yes | 920 | 24.5 | odd | 2 | inner | |
552.2.bf.a.5.75 | yes | 920 | 8.5 | even | 2 | inner | |
552.2.bf.a.5.91 | yes | 920 | 3.2 | odd | 2 | inner | |
552.2.bf.a.221.2 | yes | 920 | 552.221 | even | 22 | inner | |
552.2.bf.a.221.18 | yes | 920 | 23.14 | odd | 22 | inner | |
552.2.bf.a.221.75 | yes | 920 | 69.14 | even | 22 | inner | |
552.2.bf.a.221.91 | yes | 920 | 184.37 | odd | 22 | inner |