Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [930,2,Mod(121,930)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(930, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([0, 0, 16]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("930.121");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 930.bg (of order \(15\), degree \(8\), 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: | \(7.42608738798\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{15})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} + \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} + 40x^{14} + 654x^{12} + 5650x^{10} + 27831x^{8} + 78445x^{6} + 119819x^{4} + 87030x^{2} + 22801 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{15}]$ |
Embedding invariants
Embedding label | 751.1 | ||
Root | \(-2.23655i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 930.751 |
Dual form | 930.2.bg.c.691.1 |
$q$-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 \(\left(\mathbb{Z}/930\mathbb{Z}\right)^\times\).
\(n\) | \(187\) | \(311\) | \(871\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{14}{15}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.309017 | + | 0.951057i | 0.218508 | + | 0.672499i | ||||
\(3\) | 0.978148 | − | 0.207912i | 0.564734 | − | 0.120038i | ||||
\(4\) | −0.809017 | + | 0.587785i | −0.404508 | + | 0.293893i | ||||
\(5\) | 0.500000 | − | 0.866025i | 0.223607 | − | 0.387298i | ||||
\(6\) | 0.500000 | + | 0.866025i | 0.204124 | + | 0.353553i | ||||
\(7\) | −2.70387 | − | 1.20384i | −1.02197 | − | 0.455010i | −0.173825 | − | 0.984777i | \(-0.555613\pi\) |
−0.848143 | + | 0.529767i | \(0.822279\pi\) | |||||||
\(8\) | −0.809017 | − | 0.587785i | −0.286031 | − | 0.207813i | ||||
\(9\) | 0.913545 | − | 0.406737i | 0.304515 | − | 0.135579i | ||||
\(10\) | 0.978148 | + | 0.207912i | 0.309317 | + | 0.0657474i | ||||
\(11\) | −0.0918838 | − | 0.874216i | −0.0277040 | − | 0.263586i | −0.999603 | − | 0.0281864i | \(-0.991027\pi\) |
0.971899 | − | 0.235400i | \(-0.0756399\pi\) | |||||||
\(12\) | −0.669131 | + | 0.743145i | −0.193161 | + | 0.214527i | ||||
\(13\) | −2.33680 | − | 2.59528i | −0.648112 | − | 0.719801i | 0.326125 | − | 0.945327i | \(-0.394257\pi\) |
−0.974237 | + | 0.225525i | \(0.927590\pi\) | |||||||
\(14\) | 0.309379 | − | 2.94355i | 0.0826850 | − | 0.786696i | ||||
\(15\) | 0.309017 | − | 0.951057i | 0.0797878 | − | 0.245562i | ||||
\(16\) | 0.309017 | − | 0.951057i | 0.0772542 | − | 0.237764i | ||||
\(17\) | 0.838261 | − | 7.97552i | 0.203308 | − | 1.93435i | −0.129966 | − | 0.991518i | \(-0.541487\pi\) |
0.333274 | − | 0.942830i | \(-0.391847\pi\) | |||||||
\(18\) | 0.669131 | + | 0.743145i | 0.157716 | + | 0.175161i | ||||
\(19\) | 1.65932 | − | 1.84287i | 0.380675 | − | 0.422783i | −0.522107 | − | 0.852880i | \(-0.674854\pi\) |
0.902783 | + | 0.430097i | \(0.141521\pi\) | |||||||
\(20\) | 0.104528 | + | 0.994522i | 0.0233733 | + | 0.222382i | ||||
\(21\) | −2.89508 | − | 0.615369i | −0.631759 | − | 0.134284i | ||||
\(22\) | 0.803035 | − | 0.357534i | 0.171208 | − | 0.0762266i | ||||
\(23\) | 1.80064 | + | 1.30824i | 0.375460 | + | 0.272788i | 0.759471 | − | 0.650541i | \(-0.225458\pi\) |
−0.384011 | + | 0.923328i | \(0.625458\pi\) | |||||||
\(24\) | −0.913545 | − | 0.406737i | −0.186477 | − | 0.0830248i | ||||
\(25\) | −0.500000 | − | 0.866025i | −0.100000 | − | 0.173205i | ||||
\(26\) | 1.74615 | − | 3.02442i | 0.342448 | − | 0.593137i | ||||
\(27\) | 0.809017 | − | 0.587785i | 0.155695 | − | 0.113119i | ||||
\(28\) | 2.89508 | − | 0.615369i | 0.547119 | − | 0.116294i | ||||
\(29\) | 0.877888 | + | 2.70186i | 0.163020 | + | 0.501723i | 0.998885 | − | 0.0472117i | \(-0.0150335\pi\) |
−0.835865 | + | 0.548935i | \(0.815034\pi\) | |||||||
\(30\) | 1.00000 | 0.182574 | ||||||||
\(31\) | 3.49214 | + | 4.33647i | 0.627206 | + | 0.778853i | ||||
\(32\) | 1.00000 | 0.176777 | ||||||||
\(33\) | −0.271636 | − | 0.836008i | −0.0472857 | − | 0.145530i | ||||
\(34\) | 7.84421 | − | 1.66734i | 1.34527 | − | 0.285946i | ||||
\(35\) | −2.39450 | + | 1.73970i | −0.404744 | + | 0.294063i | ||||
\(36\) | −0.500000 | + | 0.866025i | −0.0833333 | + | 0.144338i | ||||
\(37\) | −2.48588 | − | 4.30566i | −0.408675 | − | 0.707846i | 0.586066 | − | 0.810263i | \(-0.300676\pi\) |
−0.994742 | + | 0.102417i | \(0.967342\pi\) | |||||||
\(38\) | 2.26543 | + | 1.00863i | 0.367501 | + | 0.163622i | ||||
\(39\) | −2.82533 | − | 2.05272i | −0.452414 | − | 0.328698i | ||||
\(40\) | −0.913545 | + | 0.406737i | −0.144444 | + | 0.0643107i | ||||
\(41\) | −3.87180 | − | 0.822977i | −0.604674 | − | 0.128527i | −0.104606 | − | 0.994514i | \(-0.533358\pi\) |
−0.500068 | + | 0.865986i | \(0.666692\pi\) | |||||||
\(42\) | −0.309379 | − | 2.94355i | −0.0477382 | − | 0.454199i | ||||
\(43\) | 2.45890 | − | 2.73089i | 0.374979 | − | 0.416457i | −0.525886 | − | 0.850555i | \(-0.676266\pi\) |
0.900866 | + | 0.434098i | \(0.142933\pi\) | |||||||
\(44\) | 0.588187 | + | 0.653248i | 0.0886725 | + | 0.0984808i | ||||
\(45\) | 0.104528 | − | 0.994522i | 0.0155822 | − | 0.148255i | ||||
\(46\) | −0.687785 | + | 2.11678i | −0.101408 | + | 0.312103i | ||||
\(47\) | 2.05322 | − | 6.31917i | 0.299493 | − | 0.921745i | −0.682182 | − | 0.731183i | \(-0.738969\pi\) |
0.981675 | − | 0.190563i | \(-0.0610313\pi\) | |||||||
\(48\) | 0.104528 | − | 0.994522i | 0.0150874 | − | 0.143547i | ||||
\(49\) | 1.17779 | + | 1.30807i | 0.168255 | + | 0.186867i | ||||
\(50\) | 0.669131 | − | 0.743145i | 0.0946294 | − | 0.105097i | ||||
\(51\) | −0.838261 | − | 7.97552i | −0.117380 | − | 1.11680i | ||||
\(52\) | 3.41598 | + | 0.726089i | 0.473711 | + | 0.100690i | ||||
\(53\) | −9.06496 | + | 4.03598i | −1.24517 | + | 0.554384i | −0.920240 | − | 0.391354i | \(-0.872007\pi\) |
−0.324928 | + | 0.945739i | \(0.605340\pi\) | |||||||
\(54\) | 0.809017 | + | 0.587785i | 0.110093 | + | 0.0799874i | ||||
\(55\) | −0.803035 | − | 0.357534i | −0.108281 | − | 0.0482099i | ||||
\(56\) | 1.47988 | + | 2.56323i | 0.197757 | + | 0.342526i | ||||
\(57\) | 1.23991 | − | 2.14759i | 0.164230 | − | 0.284455i | ||||
\(58\) | −2.29834 | + | 1.66984i | −0.301787 | + | 0.219261i | ||||
\(59\) | 3.74182 | − | 0.795347i | 0.487143 | − | 0.103545i | 0.0422090 | − | 0.999109i | \(-0.486560\pi\) |
0.444934 | + | 0.895563i | \(0.353227\pi\) | |||||||
\(60\) | 0.309017 | + | 0.951057i | 0.0398939 | + | 0.122781i | ||||
\(61\) | 3.90546 | 0.500043 | 0.250021 | − | 0.968240i | \(-0.419562\pi\) | ||||
0.250021 | + | 0.968240i | \(0.419562\pi\) | |||||||
\(62\) | −3.04510 | + | 4.66126i | −0.386728 | + | 0.591981i | ||||
\(63\) | −2.95976 | −0.372895 | ||||||||
\(64\) | 0.309017 | + | 0.951057i | 0.0386271 | + | 0.118882i | ||||
\(65\) | −3.41598 | + | 0.726089i | −0.423700 | + | 0.0900602i | ||||
\(66\) | 0.711151 | − | 0.516682i | 0.0875367 | − | 0.0635991i | ||||
\(67\) | 3.84467 | − | 6.65917i | 0.469702 | − | 0.813547i | −0.529698 | − | 0.848186i | \(-0.677695\pi\) |
0.999400 | + | 0.0346389i | \(0.0110281\pi\) | |||||||
\(68\) | 4.00973 | + | 6.94505i | 0.486251 | + | 0.842211i | ||||
\(69\) | 2.03329 | + | 0.905281i | 0.244780 | + | 0.108983i | ||||
\(70\) | −2.39450 | − | 1.73970i | −0.286197 | − | 0.207934i | ||||
\(71\) | −8.88239 | + | 3.95470i | −1.05415 | + | 0.469336i | −0.859286 | − | 0.511495i | \(-0.829092\pi\) |
−0.194860 | + | 0.980831i | \(0.562425\pi\) | |||||||
\(72\) | −0.978148 | − | 0.207912i | −0.115276 | − | 0.0245026i | ||||
\(73\) | 1.59395 | + | 15.1654i | 0.186557 | + | 1.77497i | 0.542101 | + | 0.840314i | \(0.317629\pi\) |
−0.355544 | + | 0.934660i | \(0.615704\pi\) | |||||||
\(74\) | 3.32675 | − | 3.69473i | 0.386727 | − | 0.429504i | ||||
\(75\) | −0.669131 | − | 0.743145i | −0.0772645 | − | 0.0858110i | ||||
\(76\) | −0.259212 | + | 2.46624i | −0.0297337 | + | 0.282897i | ||||
\(77\) | −0.803976 | + | 2.47438i | −0.0916216 | + | 0.281982i | ||||
\(78\) | 1.07918 | − | 3.32137i | 0.122193 | − | 0.376071i | ||||
\(79\) | 0.930158 | − | 8.84987i | 0.104651 | − | 0.995688i | −0.808619 | − | 0.588333i | \(-0.799785\pi\) |
0.913270 | − | 0.407355i | \(-0.133549\pi\) | |||||||
\(80\) | −0.669131 | − | 0.743145i | −0.0748111 | − | 0.0830861i | ||||
\(81\) | 0.669131 | − | 0.743145i | 0.0743478 | − | 0.0825716i | ||||
\(82\) | −0.413755 | − | 3.93662i | −0.0456916 | − | 0.434727i | ||||
\(83\) | 16.4192 | + | 3.49001i | 1.80224 | + | 0.383079i | 0.981992 | − | 0.188923i | \(-0.0604998\pi\) |
0.820252 | + | 0.572002i | \(0.193833\pi\) | |||||||
\(84\) | 2.70387 | − | 1.20384i | 0.295017 | − | 0.131350i | ||||
\(85\) | −6.48787 | − | 4.71372i | −0.703709 | − | 0.511274i | ||||
\(86\) | 3.35707 | + | 1.49467i | 0.362002 | + | 0.161174i | ||||
\(87\) | 1.42045 | + | 2.46030i | 0.152289 | + | 0.263771i | ||||
\(88\) | −0.439516 | + | 0.761263i | −0.0468525 | + | 0.0811510i | ||||
\(89\) | −11.8190 | + | 8.58700i | −1.25281 | + | 0.910220i | −0.998382 | − | 0.0568716i | \(-0.981887\pi\) |
−0.254429 | + | 0.967092i | \(0.581887\pi\) | |||||||
\(90\) | 0.978148 | − | 0.207912i | 0.103106 | − | 0.0219158i | ||||
\(91\) | 3.19411 | + | 9.83045i | 0.334834 | + | 1.03051i | ||||
\(92\) | −2.22572 | −0.232047 | ||||||||
\(93\) | 4.31743 | + | 3.51565i | 0.447697 | + | 0.364556i | ||||
\(94\) | 6.64437 | 0.685314 | ||||||||
\(95\) | −0.766307 | − | 2.35845i | −0.0786214 | − | 0.241972i | ||||
\(96\) | 0.978148 | − | 0.207912i | 0.0998318 | − | 0.0212199i | ||||
\(97\) | 5.43339 | − | 3.94759i | 0.551677 | − | 0.400817i | −0.276727 | − | 0.960949i | \(-0.589250\pi\) |
0.828403 | + | 0.560132i | \(0.189250\pi\) | |||||||
\(98\) | −0.880088 | + | 1.52436i | −0.0889024 | + | 0.153983i | ||||
\(99\) | −0.439516 | − | 0.761263i | −0.0441730 | − | 0.0765099i | ||||
\(100\) | 0.913545 | + | 0.406737i | 0.0913545 | + | 0.0406737i | ||||
\(101\) | −2.42498 | − | 1.76185i | −0.241295 | − | 0.175311i | 0.460565 | − | 0.887626i | \(-0.347647\pi\) |
−0.701860 | + | 0.712315i | \(0.747647\pi\) | |||||||
\(102\) | 7.32614 | − | 3.26181i | 0.725396 | − | 0.322967i | ||||
\(103\) | −2.29784 | − | 0.488421i | −0.226413 | − | 0.0481255i | 0.0933081 | − | 0.995637i | \(-0.470256\pi\) |
−0.319721 | + | 0.947512i | \(0.603589\pi\) | |||||||
\(104\) | 0.365044 | + | 3.47316i | 0.0357955 | + | 0.340572i | ||||
\(105\) | −1.98047 | + | 2.19953i | −0.193274 | + | 0.214652i | ||||
\(106\) | −6.63967 | − | 7.37410i | −0.644902 | − | 0.716236i | ||||
\(107\) | −0.727163 | + | 6.91850i | −0.0702975 | + | 0.668836i | 0.901461 | + | 0.432860i | \(0.142495\pi\) |
−0.971759 | + | 0.235976i | \(0.924171\pi\) | |||||||
\(108\) | −0.309017 | + | 0.951057i | −0.0297352 | + | 0.0915155i | ||||
\(109\) | −2.07270 | + | 6.37911i | −0.198529 | + | 0.611008i | 0.801389 | + | 0.598144i | \(0.204095\pi\) |
−0.999917 | + | 0.0128642i | \(0.995905\pi\) | |||||||
\(110\) | 0.0918838 | − | 0.874216i | 0.00876078 | − | 0.0833532i | ||||
\(111\) | −3.32675 | − | 3.69473i | −0.315761 | − | 0.350688i | ||||
\(112\) | −1.98047 | + | 2.19953i | −0.187136 | + | 0.207836i | ||||
\(113\) | −0.225721 | − | 2.14759i | −0.0212341 | − | 0.202029i | 0.978762 | − | 0.205002i | \(-0.0657202\pi\) |
−0.999996 | + | 0.00297352i | \(0.999053\pi\) | |||||||
\(114\) | 2.42563 | + | 0.515584i | 0.227181 | + | 0.0482889i | ||||
\(115\) | 2.03329 | − | 0.905281i | 0.189606 | − | 0.0844179i | ||||
\(116\) | −2.29834 | − | 1.66984i | −0.213396 | − | 0.155041i | ||||
\(117\) | −3.19037 | − | 1.42044i | −0.294950 | − | 0.131320i | ||||
\(118\) | 1.91271 | + | 3.31290i | 0.176079 | + | 0.304977i | ||||
\(119\) | −11.8678 | + | 20.5557i | −1.08792 | + | 1.88434i | ||||
\(120\) | −0.809017 | + | 0.587785i | −0.0738528 | + | 0.0536572i | ||||
\(121\) | 10.0038 | − | 2.12638i | 0.909438 | − | 0.193307i | ||||
\(122\) | 1.20685 | + | 3.71431i | 0.109263 | + | 0.336278i | ||||
\(123\) | −3.95830 | −0.356908 | ||||||||
\(124\) | −5.37411 | − | 1.45565i | −0.482610 | − | 0.130721i | ||||
\(125\) | −1.00000 | −0.0894427 | ||||||||
\(126\) | −0.914616 | − | 2.81490i | −0.0814805 | − | 0.250771i | ||||
\(127\) | 15.9730 | − | 3.39517i | 1.41738 | − | 0.301272i | 0.565384 | − | 0.824828i | \(-0.308728\pi\) |
0.851991 | + | 0.523556i | \(0.175395\pi\) | |||||||
\(128\) | −0.809017 | + | 0.587785i | −0.0715077 | + | 0.0519534i | ||||
\(129\) | 1.83739 | − | 3.18245i | 0.161773 | − | 0.280199i | ||||
\(130\) | −1.74615 | − | 3.02442i | −0.153147 | − | 0.265259i | ||||
\(131\) | −13.3747 | − | 5.95480i | −1.16855 | − | 0.520274i | −0.271605 | − | 0.962409i | \(-0.587555\pi\) |
−0.896948 | + | 0.442135i | \(0.854221\pi\) | |||||||
\(132\) | 0.711151 | + | 0.516682i | 0.0618978 | + | 0.0449714i | ||||
\(133\) | −6.70513 | + | 2.98532i | −0.581408 | + | 0.258860i | ||||
\(134\) | 7.52132 | + | 1.59871i | 0.649743 | + | 0.138107i | ||||
\(135\) | −0.104528 | − | 0.994522i | −0.00899638 | − | 0.0855948i | ||||
\(136\) | −5.36606 | + | 5.95962i | −0.460136 | + | 0.511033i | ||||
\(137\) | −6.74314 | − | 7.48902i | −0.576106 | − | 0.639830i | 0.382707 | − | 0.923870i | \(-0.374992\pi\) |
−0.958812 | + | 0.284040i | \(0.908325\pi\) | |||||||
\(138\) | −0.232651 | + | 2.21353i | −0.0198046 | + | 0.188428i | ||||
\(139\) | 3.28014 | − | 10.0952i | 0.278218 | − | 0.856267i | −0.710132 | − | 0.704068i | \(-0.751365\pi\) |
0.988350 | − | 0.152198i | \(-0.0486352\pi\) | |||||||
\(140\) | 0.914616 | − | 2.81490i | 0.0772992 | − | 0.237902i | ||||
\(141\) | 0.694525 | − | 6.60797i | 0.0584896 | − | 0.556491i | ||||
\(142\) | −6.50595 | − | 7.22559i | −0.545967 | − | 0.606358i | ||||
\(143\) | −2.05412 | + | 2.28133i | −0.171774 | + | 0.190775i | ||||
\(144\) | −0.104528 | − | 0.994522i | −0.00871071 | − | 0.0828768i | ||||
\(145\) | 2.77882 | + | 0.590657i | 0.230769 | + | 0.0490514i | ||||
\(146\) | −13.9306 | + | 6.20229i | −1.15290 | + | 0.513305i | ||||
\(147\) | 1.42401 | + | 1.03461i | 0.117451 | + | 0.0853329i | ||||
\(148\) | 4.54192 | + | 2.02219i | 0.373344 | + | 0.166223i | ||||
\(149\) | 9.07764 | + | 15.7229i | 0.743669 | + | 1.28807i | 0.950814 | + | 0.309763i | \(0.100250\pi\) |
−0.207145 | + | 0.978310i | \(0.566417\pi\) | |||||||
\(150\) | 0.500000 | − | 0.866025i | 0.0408248 | − | 0.0707107i | ||||
\(151\) | 16.3461 | − | 11.8761i | 1.33022 | − | 0.966465i | 0.330482 | − | 0.943812i | \(-0.392789\pi\) |
0.999743 | − | 0.0226526i | \(-0.00721115\pi\) | |||||||
\(152\) | −2.42563 | + | 0.515584i | −0.196745 | + | 0.0418194i | ||||
\(153\) | −2.47815 | − | 7.62695i | −0.200346 | − | 0.616603i | ||||
\(154\) | −2.60172 | −0.209653 | ||||||||
\(155\) | 5.50156 | − | 0.856045i | 0.441896 | − | 0.0687592i | ||||
\(156\) | 3.49229 | 0.279607 | ||||||||
\(157\) | 1.46194 | + | 4.49940i | 0.116676 | + | 0.359091i | 0.992293 | − | 0.123915i | \(-0.0395450\pi\) |
−0.875617 | + | 0.483006i | \(0.839545\pi\) | |||||||
\(158\) | 8.70416 | − | 1.85013i | 0.692466 | − | 0.147188i | ||||
\(159\) | −8.02774 | + | 5.83249i | −0.636641 | + | 0.462547i | ||||
\(160\) | 0.500000 | − | 0.866025i | 0.0395285 | − | 0.0684653i | ||||
\(161\) | −3.29380 | − | 5.70502i | −0.259587 | − | 0.449619i | ||||
\(162\) | 0.913545 | + | 0.406737i | 0.0717749 | + | 0.0319562i | ||||
\(163\) | 2.03034 | + | 1.47513i | 0.159029 | + | 0.115541i | 0.664454 | − | 0.747329i | \(-0.268664\pi\) |
−0.505425 | + | 0.862870i | \(0.668664\pi\) | |||||||
\(164\) | 3.61609 | − | 1.60999i | 0.282369 | − | 0.125719i | ||||
\(165\) | −0.859822 | − | 0.182761i | −0.0669371 | − | 0.0142279i | ||||
\(166\) | 1.75462 | + | 16.6941i | 0.136185 | + | 1.29571i | ||||
\(167\) | −7.13025 | + | 7.91894i | −0.551755 | + | 0.612786i | −0.952921 | − | 0.303219i | \(-0.901939\pi\) |
0.401166 | + | 0.916006i | \(0.368605\pi\) | |||||||
\(168\) | 1.98047 | + | 2.19953i | 0.152796 | + | 0.169697i | ||||
\(169\) | 0.0840285 | − | 0.799478i | 0.00646373 | − | 0.0614983i | ||||
\(170\) | 2.47815 | − | 7.62695i | 0.190065 | − | 0.584961i | ||||
\(171\) | 0.766307 | − | 2.35845i | 0.0586010 | − | 0.180355i | ||||
\(172\) | −0.384118 | + | 3.65464i | −0.0292888 | + | 0.278664i | ||||
\(173\) | 8.35844 | + | 9.28299i | 0.635481 | + | 0.705773i | 0.971755 | − | 0.235991i | \(-0.0758337\pi\) |
−0.336275 | + | 0.941764i | \(0.609167\pi\) | |||||||
\(174\) | −1.90094 | + | 2.11120i | −0.144110 | + | 0.160050i | ||||
\(175\) | 0.309379 | + | 2.94355i | 0.0233869 | + | 0.222511i | ||||
\(176\) | −0.859822 | − | 0.182761i | −0.0648115 | − | 0.0137761i | ||||
\(177\) | 3.49469 | − | 1.55593i | 0.262677 | − | 0.116951i | ||||
\(178\) | −11.8190 | − | 8.58700i | −0.885871 | − | 0.643623i | ||||
\(179\) | −3.76389 | − | 1.67579i | −0.281326 | − | 0.125255i | 0.261223 | − | 0.965278i | \(-0.415874\pi\) |
−0.542549 | + | 0.840024i | \(0.682541\pi\) | |||||||
\(180\) | 0.500000 | + | 0.866025i | 0.0372678 | + | 0.0645497i | ||||
\(181\) | −7.64407 | + | 13.2399i | −0.568179 | + | 0.984115i | 0.428567 | + | 0.903510i | \(0.359019\pi\) |
−0.996746 | + | 0.0806051i | \(0.974315\pi\) | |||||||
\(182\) | −8.36228 | + | 6.07555i | −0.619854 | + | 0.450350i | ||||
\(183\) | 3.82012 | − | 0.811991i | 0.282391 | − | 0.0600241i | ||||
\(184\) | −0.687785 | − | 2.11678i | −0.0507042 | − | 0.156051i | ||||
\(185\) | −4.97175 | −0.365530 | ||||||||
\(186\) | −2.00942 | + | 5.19252i | −0.147338 | + | 0.380734i | ||||
\(187\) | −7.04935 | −0.515500 | ||||||||
\(188\) | 2.05322 | + | 6.31917i | 0.149747 | + | 0.460873i | ||||
\(189\) | −2.89508 | + | 0.615369i | −0.210586 | + | 0.0447615i | ||||
\(190\) | 2.00622 | − | 1.45760i | 0.145546 | − | 0.105746i | ||||
\(191\) | −12.0392 | + | 20.8524i | −0.871123 | + | 1.50883i | −0.0102861 | + | 0.999947i | \(0.503274\pi\) |
−0.860837 | + | 0.508882i | \(0.830059\pi\) | |||||||
\(192\) | 0.500000 | + | 0.866025i | 0.0360844 | + | 0.0625000i | ||||
\(193\) | −1.14108 | − | 0.508043i | −0.0821370 | − | 0.0365697i | 0.365257 | − | 0.930907i | \(-0.380981\pi\) |
−0.447394 | + | 0.894337i | \(0.647648\pi\) | |||||||
\(194\) | 5.43339 | + | 3.94759i | 0.390094 | + | 0.283420i | ||||
\(195\) | −3.19037 | + | 1.42044i | −0.228467 | + | 0.101720i | ||||
\(196\) | −1.72171 | − | 0.365961i | −0.122979 | − | 0.0261401i | ||||
\(197\) | −0.761479 | − | 7.24499i | −0.0542531 | − | 0.516184i | −0.987576 | − | 0.157145i | \(-0.949771\pi\) |
0.933322 | − | 0.359039i | \(-0.116896\pi\) | |||||||
\(198\) | 0.588187 | − | 0.653248i | 0.0418006 | − | 0.0464243i | ||||
\(199\) | 15.8452 | + | 17.5979i | 1.12323 | + | 1.24748i | 0.965614 | + | 0.259979i | \(0.0837156\pi\) |
0.157621 | + | 0.987500i | \(0.449618\pi\) | |||||||
\(200\) | −0.104528 | + | 0.994522i | −0.00739128 | + | 0.0703233i | ||||
\(201\) | 2.37614 | − | 7.31301i | 0.167600 | − | 0.515820i | ||||
\(202\) | 0.926261 | − | 2.85074i | 0.0651715 | − | 0.200577i | ||||
\(203\) | 0.878917 | − | 8.36233i | 0.0616879 | − | 0.586921i | ||||
\(204\) | 5.36606 | + | 5.95962i | 0.375700 | + | 0.417257i | ||||
\(205\) | −2.64862 | + | 2.94159i | −0.184988 | + | 0.205450i | ||||
\(206\) | −0.245556 | − | 2.33631i | −0.0171087 | − | 0.162778i | ||||
\(207\) | 2.17708 | + | 0.462753i | 0.151318 | + | 0.0321635i | ||||
\(208\) | −3.19037 | + | 1.42044i | −0.221212 | + | 0.0984901i | ||||
\(209\) | −1.76353 | − | 1.28128i | −0.121986 | − | 0.0886279i | ||||
\(210\) | −2.70387 | − | 1.20384i | −0.186585 | − | 0.0830730i | ||||
\(211\) | −5.71160 | − | 9.89278i | −0.393203 | − | 0.681047i | 0.599667 | − | 0.800249i | \(-0.295300\pi\) |
−0.992870 | + | 0.119202i | \(0.961966\pi\) | |||||||
\(212\) | 4.96142 | − | 8.59342i | 0.340751 | − | 0.590199i | ||||
\(213\) | −7.86607 | + | 5.71503i | −0.538974 | + | 0.391587i | ||||
\(214\) | −6.80459 | + | 1.44636i | −0.465152 | + | 0.0988711i | ||||
\(215\) | −1.13557 | − | 3.49492i | −0.0774451 | − | 0.238351i | ||||
\(216\) | −1.00000 | −0.0680414 | ||||||||
\(217\) | −4.22188 | − | 15.9293i | −0.286600 | − | 1.08135i | ||||
\(218\) | −6.70740 | −0.454282 | ||||||||
\(219\) | 4.71217 | + | 14.5026i | 0.318419 | + | 0.979993i | ||||
\(220\) | 0.859822 | − | 0.182761i | 0.0579692 | − | 0.0123217i | ||||
\(221\) | −22.6576 | + | 16.4617i | −1.52411 | + | 1.10733i | ||||
\(222\) | 2.48588 | − | 4.30566i | 0.166841 | − | 0.288977i | ||||
\(223\) | −6.17667 | − | 10.6983i | −0.413620 | − | 0.716411i | 0.581662 | − | 0.813430i | \(-0.302403\pi\) |
−0.995283 | + | 0.0970192i | \(0.969069\pi\) | |||||||
\(224\) | −2.70387 | − | 1.20384i | −0.180660 | − | 0.0804351i | ||||
\(225\) | −0.809017 | − | 0.587785i | −0.0539345 | − | 0.0391857i | ||||
\(226\) | 1.97273 | − | 0.878317i | 0.131224 | − | 0.0584248i | ||||
\(227\) | −12.4277 | − | 2.64159i | −0.824855 | − | 0.175328i | −0.223901 | − | 0.974612i | \(-0.571879\pi\) |
−0.600954 | + | 0.799284i | \(0.705213\pi\) | |||||||
\(228\) | 0.259212 | + | 2.46624i | 0.0171667 | + | 0.163331i | ||||
\(229\) | −6.22257 | + | 6.91086i | −0.411199 | + | 0.456682i | −0.912794 | − | 0.408420i | \(-0.866080\pi\) |
0.501595 | + | 0.865102i | \(0.332747\pi\) | |||||||
\(230\) | 1.48930 | + | 1.65403i | 0.0982013 | + | 0.109064i | ||||
\(231\) | −0.271954 | + | 2.58747i | −0.0178933 | + | 0.170243i | ||||
\(232\) | 0.877888 | − | 2.70186i | 0.0576362 | − | 0.177386i | ||||
\(233\) | 1.29441 | − | 3.98378i | 0.0847995 | − | 0.260986i | −0.899662 | − | 0.436587i | \(-0.856187\pi\) |
0.984461 | + | 0.175601i | \(0.0561870\pi\) | |||||||
\(234\) | 0.365044 | − | 3.47316i | 0.0238637 | − | 0.227048i | ||||
\(235\) | −4.44595 | − | 4.93773i | −0.290022 | − | 0.322102i | ||||
\(236\) | −2.55970 | + | 2.84283i | −0.166622 | + | 0.185053i | ||||
\(237\) | −0.930158 | − | 8.84987i | −0.0604203 | − | 0.574861i | ||||
\(238\) | −23.2170 | − | 4.93492i | −1.50493 | − | 0.319883i | ||||
\(239\) | −2.19268 | + | 0.976244i | −0.141833 | + | 0.0631480i | −0.476426 | − | 0.879215i | \(-0.658068\pi\) |
0.334593 | + | 0.942363i | \(0.391401\pi\) | |||||||
\(240\) | −0.809017 | − | 0.587785i | −0.0522218 | − | 0.0379414i | ||||
\(241\) | 13.9051 | + | 6.19093i | 0.895704 | + | 0.398793i | 0.802360 | − | 0.596841i | \(-0.203578\pi\) |
0.0933443 | + | 0.995634i | \(0.470244\pi\) | |||||||
\(242\) | 5.11365 | + | 8.85711i | 0.328718 | + | 0.569356i | ||||
\(243\) | 0.500000 | − | 0.866025i | 0.0320750 | − | 0.0555556i | ||||
\(244\) | −3.15958 | + | 2.29557i | −0.202272 | + | 0.146959i | ||||
\(245\) | 1.72171 | − | 0.365961i | 0.109996 | − | 0.0233804i | ||||
\(246\) | −1.22318 | − | 3.76457i | −0.0779873 | − | 0.240020i | ||||
\(247\) | −8.66027 | −0.551040 | ||||||||
\(248\) | −0.276286 | − | 5.56091i | −0.0175441 | − | 0.353118i | ||||
\(249\) | 16.7860 | 1.06377 | ||||||||
\(250\) | −0.309017 | − | 0.951057i | −0.0195440 | − | 0.0601501i | ||||
\(251\) | −2.64179 | + | 0.561530i | −0.166748 | + | 0.0354434i | −0.290529 | − | 0.956866i | \(-0.593831\pi\) |
0.123781 | + | 0.992310i | \(0.460498\pi\) | |||||||
\(252\) | 2.39450 | − | 1.73970i | 0.150839 | − | 0.109591i | ||||
\(253\) | 0.978238 | − | 1.69436i | 0.0615013 | − | 0.106523i | ||||
\(254\) | 8.16493 | + | 14.1421i | 0.512313 | + | 0.887352i | ||||
\(255\) | −7.32614 | − | 3.26181i | −0.458780 | − | 0.204262i | ||||
\(256\) | −0.809017 | − | 0.587785i | −0.0505636 | − | 0.0367366i | ||||
\(257\) | 18.2684 | − | 8.13363i | 1.13955 | − | 0.507362i | 0.251845 | − | 0.967768i | \(-0.418963\pi\) |
0.887708 | + | 0.460406i | \(0.152296\pi\) | |||||||
\(258\) | 3.59447 | + | 0.764028i | 0.223782 | + | 0.0475663i | ||||
\(259\) | 1.53816 | + | 14.6346i | 0.0955763 | + | 0.909348i | ||||
\(260\) | 2.33680 | − | 2.59528i | 0.144922 | − | 0.160952i | ||||
\(261\) | 1.90094 | + | 2.11120i | 0.117665 | + | 0.130680i | ||||
\(262\) | 1.53034 | − | 14.5602i | 0.0945449 | − | 0.899535i | ||||
\(263\) | 2.80872 | − | 8.64436i | 0.173193 | − | 0.533034i | −0.826353 | − | 0.563152i | \(-0.809588\pi\) |
0.999546 | + | 0.0301183i | \(0.00958840\pi\) | |||||||
\(264\) | −0.271636 | + | 0.836008i | −0.0167180 | + | 0.0514528i | ||||
\(265\) | −1.03722 | + | 9.86847i | −0.0637158 | + | 0.606216i | ||||
\(266\) | −4.91120 | − | 5.45444i | −0.301125 | − | 0.334433i | ||||
\(267\) | −9.77538 | + | 10.8567i | −0.598243 | + | 0.664417i | ||||
\(268\) | 0.803756 | + | 7.64723i | 0.0490972 | + | 0.467129i | ||||
\(269\) | 14.8011 | + | 3.14607i | 0.902437 | + | 0.191819i | 0.635687 | − | 0.771947i | \(-0.280717\pi\) |
0.266750 | + | 0.963766i | \(0.414050\pi\) | |||||||
\(270\) | 0.913545 | − | 0.406737i | 0.0555966 | − | 0.0247532i | ||||
\(271\) | 3.96433 | + | 2.88025i | 0.240816 | + | 0.174963i | 0.701647 | − | 0.712525i | \(-0.252449\pi\) |
−0.460831 | + | 0.887488i | \(0.652449\pi\) | |||||||
\(272\) | −7.32614 | − | 3.26181i | −0.444212 | − | 0.197776i | ||||
\(273\) | 5.16818 | + | 8.95154i | 0.312792 | + | 0.541772i | ||||
\(274\) | 5.03873 | − | 8.72734i | 0.304401 | − | 0.527238i | ||||
\(275\) | −0.711151 | + | 0.516682i | −0.0428840 | + | 0.0311571i | ||||
\(276\) | −2.17708 | + | 0.462753i | −0.131045 | + | 0.0278544i | ||||
\(277\) | −8.52416 | − | 26.2347i | −0.512167 | − | 1.57629i | −0.788378 | − | 0.615192i | \(-0.789079\pi\) |
0.276210 | − | 0.961097i | \(-0.410921\pi\) | |||||||
\(278\) | 10.6148 | 0.636631 | ||||||||
\(279\) | 4.95403 | + | 2.54118i | 0.296590 | + | 0.152137i | ||||
\(280\) | 2.95976 | 0.176879 | ||||||||
\(281\) | −3.92589 | − | 12.0826i | −0.234199 | − | 0.720790i | −0.997227 | − | 0.0744245i | \(-0.976288\pi\) |
0.763028 | − | 0.646366i | \(-0.223712\pi\) | |||||||
\(282\) | 6.49917 | − | 1.38144i | 0.387020 | − | 0.0822636i | ||||
\(283\) | 9.68112 | − | 7.03375i | 0.575483 | − | 0.418113i | −0.261610 | − | 0.965174i | \(-0.584253\pi\) |
0.837093 | + | 0.547061i | \(0.184253\pi\) | |||||||
\(284\) | 4.86150 | − | 8.42036i | 0.288477 | − | 0.499656i | ||||
\(285\) | −1.23991 | − | 2.14759i | −0.0734460 | − | 0.127212i | ||||
\(286\) | −2.80443 | − | 1.24861i | −0.165830 | − | 0.0738321i | ||||
\(287\) | 9.47814 | + | 6.88627i | 0.559477 | + | 0.406484i | ||||
\(288\) | 0.913545 | − | 0.406737i | 0.0538312 | − | 0.0239672i | ||||
\(289\) | −46.2778 | − | 9.83664i | −2.72222 | − | 0.578626i | ||||
\(290\) | 0.296955 | + | 2.82534i | 0.0174378 | + | 0.165910i | ||||
\(291\) | 4.49390 | − | 4.99099i | 0.263437 | − | 0.292577i | ||||
\(292\) | −10.2035 | − | 11.3322i | −0.597116 | − | 0.663164i | ||||
\(293\) | −1.32462 | + | 12.6029i | −0.0773849 | + | 0.736268i | 0.885186 | + | 0.465237i | \(0.154031\pi\) |
−0.962571 | + | 0.271030i | \(0.912636\pi\) | |||||||
\(294\) | −0.543925 | + | 1.67403i | −0.0317223 | + | 0.0976313i | ||||
\(295\) | 1.18212 | − | 3.63818i | 0.0688255 | − | 0.211823i | ||||
\(296\) | −0.519689 | + | 4.94451i | −0.0302063 | + | 0.287394i | ||||
\(297\) | −0.588187 | − | 0.653248i | −0.0341301 | − | 0.0379053i | ||||
\(298\) | −12.1483 | + | 13.4920i | −0.703729 | + | 0.781571i | ||||
\(299\) | −0.812485 | − | 7.73028i | −0.0469872 | − | 0.447054i | ||||
\(300\) | 0.978148 | + | 0.207912i | 0.0564734 | + | 0.0120038i | ||||
\(301\) | −9.93613 | + | 4.42385i | −0.572709 | + | 0.254986i | ||||
\(302\) | 16.3461 | + | 11.8761i | 0.940611 | + | 0.683394i | ||||
\(303\) | −2.73830 | − | 1.21917i | −0.157311 | − | 0.0700395i | ||||
\(304\) | −1.23991 | − | 2.14759i | −0.0711138 | − | 0.123173i | ||||
\(305\) | 1.95273 | − | 3.38223i | 0.111813 | − | 0.193666i | ||||
\(306\) | 6.48787 | − | 4.71372i | 0.370887 | − | 0.269465i | ||||
\(307\) | 9.01152 | − | 1.91546i | 0.514315 | − | 0.109321i | 0.0565595 | − | 0.998399i | \(-0.481987\pi\) |
0.457755 | + | 0.889078i | \(0.348654\pi\) | |||||||
\(308\) | −0.803976 | − | 2.47438i | −0.0458108 | − | 0.140991i | ||||
\(309\) | −2.34917 | −0.133640 | ||||||||
\(310\) | 2.51422 | + | 4.96776i | 0.142798 | + | 0.282150i | ||||
\(311\) | 31.2399 | 1.77145 | 0.885726 | − | 0.464208i | \(-0.153661\pi\) | ||||
0.885726 | + | 0.464208i | \(0.153661\pi\) | |||||||
\(312\) | 1.07918 | + | 3.32137i | 0.0610964 | + | 0.188035i | ||||
\(313\) | 7.49437 | − | 1.59298i | 0.423607 | − | 0.0900405i | 0.00882459 | − | 0.999961i | \(-0.497191\pi\) |
0.414782 | + | 0.909921i | \(0.363858\pi\) | |||||||
\(314\) | −3.82742 | + | 2.78078i | −0.215994 | + | 0.156929i | ||||
\(315\) | −1.47988 | + | 2.56323i | −0.0833818 | + | 0.144421i | ||||
\(316\) | 4.44931 | + | 7.70643i | 0.250293 | + | 0.433520i | ||||
\(317\) | −18.4334 | − | 8.20706i | −1.03532 | − | 0.460955i | −0.182526 | − | 0.983201i | \(-0.558427\pi\) |
−0.852795 | + | 0.522246i | \(0.825094\pi\) | |||||||
\(318\) | −8.02774 | − | 5.83249i | −0.450173 | − | 0.327070i | ||||
\(319\) | 2.28135 | − | 1.01572i | 0.127731 | − | 0.0568695i | ||||
\(320\) | 0.978148 | + | 0.207912i | 0.0546801 | + | 0.0116226i | ||||
\(321\) | 0.727163 | + | 6.91850i | 0.0405863 | + | 0.386153i | ||||
\(322\) | 4.40796 | − | 4.89553i | 0.245646 | − | 0.272817i | ||||
\(323\) | −13.3069 | − | 14.7788i | −0.740414 | − | 0.822314i | ||||
\(324\) | −0.104528 | + | 0.994522i | −0.00580714 | + | 0.0552512i | ||||
\(325\) | −1.07918 | + | 3.32137i | −0.0598620 | + | 0.184236i | ||||
\(326\) | −0.775521 | + | 2.38681i | −0.0429522 | + | 0.132193i | ||||
\(327\) | −0.701114 | + | 6.67065i | −0.0387717 | + | 0.368888i | ||||
\(328\) | 2.64862 | + | 2.94159i | 0.146246 | + | 0.162422i | ||||
\(329\) | −13.1589 | + | 14.6145i | −0.725476 | + | 0.805723i | ||||
\(330\) | −0.0918838 | − | 0.874216i | −0.00505804 | − | 0.0481240i | ||||
\(331\) | 13.4094 | + | 2.85025i | 0.737046 | + | 0.156664i | 0.561114 | − | 0.827738i | \(-0.310373\pi\) |
0.175932 | + | 0.984402i | \(0.443706\pi\) | |||||||
\(332\) | −15.3348 | + | 6.82750i | −0.841607 | + | 0.374708i | ||||
\(333\) | −4.02223 | − | 2.92232i | −0.220417 | − | 0.160142i | ||||
\(334\) | −9.73473 | − | 4.33418i | −0.532661 | − | 0.237156i | ||||
\(335\) | −3.84467 | − | 6.65917i | −0.210057 | − | 0.363829i | ||||
\(336\) | −1.47988 | + | 2.56323i | −0.0807341 | + | 0.139835i | ||||
\(337\) | −23.7342 | + | 17.2439i | −1.29288 | + | 0.939335i | −0.999859 | − | 0.0167705i | \(-0.994662\pi\) |
−0.293024 | + | 0.956105i | \(0.594662\pi\) | |||||||
\(338\) | 0.786315 | − | 0.167136i | 0.0427699 | − | 0.00909102i | ||||
\(339\) | −0.667299 | − | 2.05373i | −0.0362427 | − | 0.111544i | ||||
\(340\) | 8.01945 | 0.434916 | ||||||||
\(341\) | 3.47014 | − | 3.45133i | 0.187919 | − | 0.186900i | ||||
\(342\) | 2.47982 | 0.134093 | ||||||||
\(343\) | 4.79243 | + | 14.7496i | 0.258767 | + | 0.796402i | ||||
\(344\) | −3.59447 | + | 0.764028i | −0.193801 | + | 0.0411937i | ||||
\(345\) | 1.80064 | − | 1.30824i | 0.0969434 | − | 0.0704335i | ||||
\(346\) | −6.24575 | + | 10.8180i | −0.335774 | + | 0.581577i | ||||
\(347\) | −4.62123 | − | 8.00420i | −0.248081 | − | 0.429688i | 0.714913 | − | 0.699214i | \(-0.246466\pi\) |
−0.962993 | + | 0.269526i | \(0.913133\pi\) | |||||||
\(348\) | −2.59530 | − | 1.15550i | −0.139122 | − | 0.0619413i | ||||
\(349\) | −0.458431 | − | 0.333070i | −0.0245393 | − | 0.0178288i | 0.575448 | − | 0.817838i | \(-0.304828\pi\) |
−0.599987 | + | 0.800010i | \(0.704828\pi\) | |||||||
\(350\) | −2.70387 | + | 1.20384i | −0.144528 | + | 0.0643481i | ||||
\(351\) | −3.41598 | − | 0.726089i | −0.182331 | − | 0.0387558i | ||||
\(352\) | −0.0918838 | − | 0.874216i | −0.00489742 | − | 0.0465959i | ||||
\(353\) | 18.2501 | − | 20.2688i | 0.971356 | − | 1.07880i | −0.0255091 | − | 0.999675i | \(-0.508121\pi\) |
0.996865 | − | 0.0791250i | \(-0.0252126\pi\) | |||||||
\(354\) | 2.55970 | + | 2.84283i | 0.136046 | + | 0.151095i | ||||
\(355\) | −1.01633 | + | 9.66973i | −0.0539412 | + | 0.513216i | ||||
\(356\) | 4.51445 | − | 13.8941i | 0.239265 | − | 0.736383i | ||||
\(357\) | −7.33472 | + | 22.5740i | −0.388195 | + | 1.19474i | ||||
\(358\) | 0.430667 | − | 4.09752i | 0.0227614 | − | 0.216561i | ||||
\(359\) | 3.91505 | + | 4.34811i | 0.206629 | + | 0.229484i | 0.837548 | − | 0.546364i | \(-0.183989\pi\) |
−0.630919 | + | 0.775849i | \(0.717322\pi\) | |||||||
\(360\) | −0.669131 | + | 0.743145i | −0.0352663 | + | 0.0391672i | ||||
\(361\) | 1.34324 | + | 12.7801i | 0.0706969 | + | 0.672636i | ||||
\(362\) | −14.9541 | − | 3.17858i | −0.785968 | − | 0.167063i | ||||
\(363\) | 9.34311 | − | 4.15982i | 0.490386 | − | 0.218334i | ||||
\(364\) | −8.36228 | − | 6.07555i | −0.438303 | − | 0.318446i | ||||
\(365\) | 13.9306 | + | 6.20229i | 0.729160 | + | 0.324643i | ||||
\(366\) | 1.95273 | + | 3.38223i | 0.102071 | + | 0.176792i | ||||
\(367\) | −6.34598 | + | 10.9916i | −0.331257 | + | 0.573755i | −0.982759 | − | 0.184893i | \(-0.940806\pi\) |
0.651501 | + | 0.758648i | \(0.274140\pi\) | |||||||
\(368\) | 1.80064 | − | 1.30824i | 0.0938650 | − | 0.0681969i | ||||
\(369\) | −3.87180 | + | 0.822977i | −0.201558 | + | 0.0428425i | ||||
\(370\) | −1.53636 | − | 4.72842i | −0.0798713 | − | 0.245819i | ||||
\(371\) | 29.3692 | 1.52477 | ||||||||
\(372\) | −5.55932 | − | 0.306501i | −0.288237 | − | 0.0158913i | ||||
\(373\) | 22.1559 | 1.14719 | 0.573594 | − | 0.819140i | \(-0.305549\pi\) | ||||
0.573594 | + | 0.819140i | \(0.305549\pi\) | |||||||
\(374\) | −2.17837 | − | 6.70433i | −0.112641 | − | 0.346673i | ||||
\(375\) | −0.978148 | + | 0.207912i | −0.0505113 | + | 0.0107365i | ||||
\(376\) | −5.37541 | + | 3.90546i | −0.277215 | + | 0.201409i | ||||
\(377\) | 4.96064 | − | 8.59208i | 0.255486 | − | 0.442515i | ||||
\(378\) | −1.47988 | − | 2.56323i | −0.0761168 | − | 0.131838i | ||||
\(379\) | 30.8993 | + | 13.7572i | 1.58719 | + | 0.706662i | 0.995069 | − | 0.0991874i | \(-0.0316243\pi\) |
0.592120 | + | 0.805850i | \(0.298291\pi\) | |||||||
\(380\) | 2.00622 | + | 1.45760i | 0.102917 | + | 0.0747734i | ||||
\(381\) | 14.9181 | − | 6.64195i | 0.764276 | − | 0.340277i | ||||
\(382\) | −23.5521 | − | 5.00616i | −1.20503 | − | 0.256138i | ||||
\(383\) | 1.77704 | + | 16.9074i | 0.0908026 | + | 0.863929i | 0.941214 | + | 0.337811i | \(0.109686\pi\) |
−0.850411 | + | 0.526118i | \(0.823647\pi\) | |||||||
\(384\) | −0.669131 | + | 0.743145i | −0.0341464 | + | 0.0379235i | ||||
\(385\) | 1.74089 | + | 1.93346i | 0.0887240 | + | 0.0985380i | ||||
\(386\) | 0.130563 | − | 1.24223i | 0.00664551 | − | 0.0632278i | ||||
\(387\) | 1.13557 | − | 3.49492i | 0.0577241 | − | 0.177657i | ||||
\(388\) | −2.07537 | + | 6.38733i | −0.105361 | + | 0.324267i | ||||
\(389\) | −3.27860 | + | 31.1938i | −0.166231 | + | 1.58159i | 0.519976 | + | 0.854181i | \(0.325941\pi\) |
−0.686208 | + | 0.727406i | \(0.740726\pi\) | |||||||
\(390\) | −2.33680 | − | 2.59528i | −0.118329 | − | 0.131417i | ||||
\(391\) | 11.9433 | − | 13.2644i | 0.604001 | − | 0.670811i | ||||
\(392\) | −0.183989 | − | 1.75053i | −0.00929283 | − | 0.0884153i | ||||
\(393\) | −14.3205 | − | 3.04392i | −0.722374 | − | 0.153545i | ||||
\(394\) | 6.65508 | − | 2.96303i | 0.335278 | − | 0.149276i | ||||
\(395\) | −7.19913 | − | 5.23047i | −0.362228 | − | 0.263174i | ||||
\(396\) | 0.803035 | + | 0.357534i | 0.0403540 | + | 0.0179668i | ||||
\(397\) | −11.3308 | − | 19.6255i | −0.568675 | − | 0.984975i | −0.996697 | − | 0.0812062i | \(-0.974123\pi\) |
0.428022 | − | 0.903768i | \(-0.359211\pi\) | |||||||
\(398\) | −11.8401 | + | 20.5077i | −0.593492 | + | 1.02796i | ||||
\(399\) | −5.93792 | + | 4.31415i | −0.297268 | + | 0.215978i | ||||
\(400\) | −0.978148 | + | 0.207912i | −0.0489074 | + | 0.0103956i | ||||
\(401\) | 7.35316 | + | 22.6307i | 0.367199 | + | 1.13012i | 0.948592 | + | 0.316501i | \(0.102508\pi\) |
−0.581393 | + | 0.813623i | \(0.697492\pi\) | |||||||
\(402\) | 7.68935 | 0.383510 | ||||||||
\(403\) | 3.09393 | − | 19.1965i | 0.154119 | − | 0.956248i | ||||
\(404\) | 2.99744 | 0.149128 | ||||||||
\(405\) | −0.309017 | − | 0.951057i | −0.0153552 | − | 0.0472584i | ||||
\(406\) | 8.22465 | − | 1.74820i | 0.408183 | − | 0.0867619i | ||||
\(407\) | −3.53567 | + | 2.56881i | −0.175256 | + | 0.127331i | ||||
\(408\) | −4.00973 | + | 6.94505i | −0.198511 | + | 0.343831i | ||||
\(409\) | 1.86634 | + | 3.23260i | 0.0922846 | + | 0.159842i | 0.908472 | − | 0.417946i | \(-0.137250\pi\) |
−0.816188 | + | 0.577787i | \(0.803916\pi\) | |||||||
\(410\) | −3.61609 | − | 1.60999i | −0.178586 | − | 0.0795116i | ||||
\(411\) | −8.15284 | − | 5.92339i | −0.402150 | − | 0.292179i | ||||
\(412\) | 2.14608 | − | 0.955496i | 0.105730 | − | 0.0470739i | ||||
\(413\) | −11.0749 | − | 2.35404i | −0.544959 | − | 0.115835i | ||||
\(414\) | 0.232651 | + | 2.21353i | 0.0114342 | + | 0.108789i | ||||
\(415\) | 11.2321 | − | 12.4745i | 0.551360 | − | 0.612347i | ||||
\(416\) | −2.33680 | − | 2.59528i | −0.114571 | − | 0.127244i | ||||
\(417\) | 1.10954 | − | 10.5566i | 0.0543346 | − | 0.516959i | ||||
\(418\) | 0.673608 | − | 2.07315i | 0.0329472 | − | 0.101401i | ||||
\(419\) | −0.160630 | + | 0.494367i | −0.00784727 | + | 0.0241514i | −0.954903 | − | 0.296916i | \(-0.904042\pi\) |
0.947056 | + | 0.321068i | \(0.104042\pi\) | |||||||
\(420\) | 0.309379 | − | 2.94355i | 0.0150962 | − | 0.143630i | ||||
\(421\) | 7.96329 | + | 8.84413i | 0.388107 | + | 0.431037i | 0.905261 | − | 0.424856i | \(-0.139675\pi\) |
−0.517154 | + | 0.855892i | \(0.673009\pi\) | |||||||
\(422\) | 7.64361 | − | 8.48909i | 0.372085 | − | 0.413242i | ||||
\(423\) | −0.694525 | − | 6.60797i | −0.0337690 | − | 0.321290i | ||||
\(424\) | 9.70599 | + | 2.06307i | 0.471365 | + | 0.100192i | ||||
\(425\) | −7.32614 | + | 3.26181i | −0.355370 | + | 0.158221i | ||||
\(426\) | −7.86607 | − | 5.71503i | −0.381112 | − | 0.276894i | ||||
\(427\) | −10.5599 | − | 4.70156i | −0.511028 | − | 0.227524i | ||||
\(428\) | −3.47830 | − | 6.02460i | −0.168130 | − | 0.291210i | ||||
\(429\) | −1.53492 | + | 2.65856i | −0.0741065 | + | 0.128356i | ||||
\(430\) | 2.97295 | − | 2.15998i | 0.143369 | − | 0.104163i | ||||
\(431\) | 15.2788 | − | 3.24760i | 0.735952 | − | 0.156432i | 0.175338 | − | 0.984508i | \(-0.443898\pi\) |
0.560615 | + | 0.828077i | \(0.310565\pi\) | |||||||
\(432\) | −0.309017 | − | 0.951057i | −0.0148676 | − | 0.0457577i | ||||
\(433\) | 25.7677 | 1.23831 | 0.619157 | − | 0.785267i | \(-0.287474\pi\) | ||||
0.619157 | + | 0.785267i | \(0.287474\pi\) | |||||||
\(434\) | 13.8450 | − | 8.93765i | 0.664581 | − | 0.429021i | ||||
\(435\) | 2.84091 | 0.136211 | ||||||||
\(436\) | −2.07270 | − | 6.37911i | −0.0992643 | − | 0.305504i | ||||
\(437\) | 5.39877 | − | 1.14754i | 0.258258 | − | 0.0548945i | ||||
\(438\) | −12.3366 | + | 8.96309i | −0.589467 | + | 0.428273i | ||||
\(439\) | 6.12565 | − | 10.6099i | 0.292361 | − | 0.506384i | −0.682006 | − | 0.731346i | \(-0.738892\pi\) |
0.974368 | + | 0.224962i | \(0.0722257\pi\) | |||||||
\(440\) | 0.439516 | + | 0.761263i | 0.0209531 | + | 0.0362918i | ||||
\(441\) | 1.60800 | + | 0.715928i | 0.0765715 | + | 0.0340918i | ||||
\(442\) | −22.6576 | − | 16.4617i | −1.07771 | − | 0.783003i | ||||
\(443\) | 23.6602 | − | 10.5342i | 1.12413 | − | 0.500496i | 0.241425 | − | 0.970420i | \(-0.422385\pi\) |
0.882707 | + | 0.469924i | \(0.155719\pi\) | |||||||
\(444\) | 4.86311 | + | 1.03368i | 0.230793 | + | 0.0490565i | ||||
\(445\) | 1.52706 | + | 14.5290i | 0.0723898 | + | 0.688743i | ||||
\(446\) | 8.26599 | − | 9.18031i | 0.391406 | − | 0.434701i | ||||
\(447\) | 12.1483 | + | 13.4920i | 0.574593 | + | 0.638150i | ||||
\(448\) | 0.309379 | − | 2.94355i | 0.0146168 | − | 0.139069i | ||||
\(449\) | −2.63548 | + | 8.11117i | −0.124376 | + | 0.382790i | −0.993787 | − | 0.111300i | \(-0.964499\pi\) |
0.869411 | + | 0.494090i | \(0.164499\pi\) | |||||||
\(450\) | 0.309017 | − | 0.951057i | 0.0145672 | − | 0.0448332i | ||||
\(451\) | −0.363704 | + | 3.46041i | −0.0171261 | + | 0.162944i | ||||
\(452\) | 1.44494 | + | 1.60476i | 0.0679641 | + | 0.0754818i | ||||
\(453\) | 13.5197 | − | 15.0151i | 0.635211 | − | 0.705473i | ||||
\(454\) | −1.32807 | − | 12.6357i | −0.0623294 | − | 0.593024i | ||||
\(455\) | 10.1105 | + | 2.14905i | 0.473986 | + | 0.100749i | ||||
\(456\) | −2.26543 | + | 1.00863i | −0.106088 | + | 0.0472336i | ||||
\(457\) | 1.14377 | + | 0.830998i | 0.0535033 | + | 0.0388724i | 0.614215 | − | 0.789138i | \(-0.289473\pi\) |
−0.560712 | + | 0.828011i | \(0.689473\pi\) | |||||||
\(458\) | −8.49550 | − | 3.78244i | −0.396968 | − | 0.176742i | ||||
\(459\) | −4.00973 | − | 6.94505i | −0.187158 | − | 0.324167i | ||||
\(460\) | −1.11286 | + | 1.92753i | −0.0518873 | + | 0.0898715i | ||||
\(461\) | 22.9563 | − | 16.6787i | 1.06918 | − | 0.776806i | 0.0934170 | − | 0.995627i | \(-0.470221\pi\) |
0.975765 | + | 0.218821i | \(0.0702210\pi\) | |||||||
\(462\) | −2.54487 | + | 0.540928i | −0.118398 | + | 0.0251663i | ||||
\(463\) | −7.75266 | − | 23.8602i | −0.360297 | − | 1.10888i | −0.952874 | − | 0.303366i | \(-0.901889\pi\) |
0.592577 | − | 0.805514i | \(-0.298111\pi\) | |||||||
\(464\) | 2.84091 | 0.131886 | ||||||||
\(465\) | 5.20336 | − | 1.98118i | 0.241300 | − | 0.0918749i | ||||
\(466\) | 4.18879 | 0.194042 | ||||||||
\(467\) | 0.164134 | + | 0.505153i | 0.00759522 | + | 0.0233757i | 0.954782 | − | 0.297306i | \(-0.0960881\pi\) |
−0.947187 | + | 0.320681i | \(0.896088\pi\) | |||||||
\(468\) | 3.41598 | − | 0.726089i | 0.157904 | − | 0.0335635i | ||||
\(469\) | −18.4121 | + | 13.3772i | −0.850192 | + | 0.617701i | ||||
\(470\) | 3.32218 | − | 5.75419i | 0.153241 | − | 0.265421i | ||||
\(471\) | 2.36547 | + | 4.09712i | 0.108995 | + | 0.188785i | ||||
\(472\) | −3.49469 | − | 1.55593i | −0.160856 | − | 0.0716177i | ||||
\(473\) | −2.61332 | − | 1.89869i | −0.120161 | − | 0.0873018i | ||||
\(474\) | 8.12929 | − | 3.61939i | 0.373391 | − | 0.166244i | ||||
\(475\) | −2.42563 | − | 0.515584i | −0.111296 | − | 0.0236566i | ||||
\(476\) | −2.48105 | − | 23.6056i | −0.113719 | − | 1.08196i | ||||
\(477\) | −6.63967 | + | 7.37410i | −0.304010 | + | 0.337637i | ||||
\(478\) | −1.60604 | − | 1.78369i | −0.0734585 | − | 0.0815839i | ||||
\(479\) | 1.09768 | − | 10.4438i | 0.0501544 | − | 0.477187i | −0.940400 | − | 0.340069i | \(-0.889549\pi\) |
0.990555 | − | 0.137118i | \(-0.0437839\pi\) | |||||||
\(480\) | 0.309017 | − | 0.951057i | 0.0141046 | − | 0.0434096i | ||||
\(481\) | −5.36540 | + | 16.5130i | −0.244641 | + | 0.752929i | ||||
\(482\) | −1.59103 | + | 15.1376i | −0.0724693 | + | 0.689499i | ||||
\(483\) | −4.40796 | − | 4.89553i | −0.200569 | − | 0.222754i | ||||
\(484\) | −6.84340 | + | 7.60037i | −0.311064 | + | 0.345471i | ||||
\(485\) | −0.702017 | − | 6.67924i | −0.0318769 | − | 0.303289i | ||||
\(486\) | 0.978148 | + | 0.207912i | 0.0443697 | + | 0.00943107i | ||||
\(487\) | 12.8257 | − | 5.71038i | 0.581189 | − | 0.258762i | −0.0950154 | − | 0.995476i | \(-0.530290\pi\) |
0.676205 | + | 0.736714i | \(0.263623\pi\) | |||||||
\(488\) | −3.15958 | − | 2.29557i | −0.143028 | − | 0.103916i | ||||
\(489\) | 2.29267 | + | 1.02076i | 0.103678 | + | 0.0461605i | ||||
\(490\) | 0.880088 | + | 1.52436i | 0.0397583 | + | 0.0688635i | ||||
\(491\) | 16.0982 | − | 27.8829i | 0.726502 | − | 1.25834i | −0.231851 | − | 0.972751i | \(-0.574478\pi\) |
0.958353 | − | 0.285587i | \(-0.0921886\pi\) | |||||||
\(492\) | 3.20233 | − | 2.32663i | 0.144372 | − | 0.104893i | ||||
\(493\) | 22.2847 | − | 4.73675i | 1.00365 | − | 0.213332i | ||||
\(494\) | −2.67617 | − | 8.23640i | −0.120407 | − | 0.370573i | ||||
\(495\) | −0.879031 | −0.0395095 | ||||||||
\(496\) | 5.20336 | − | 1.98118i | 0.233638 | − | 0.0889575i | ||||
\(497\) | 28.7777 | 1.29086 | ||||||||
\(498\) | 5.18717 | + | 15.9645i | 0.232443 | + | 0.715385i | ||||
\(499\) | 32.5696 | − | 6.92288i | 1.45802 | − | 0.309911i | 0.590386 | − | 0.807121i | \(-0.298976\pi\) |
0.867630 | + | 0.497210i | \(0.165642\pi\) | |||||||
\(500\) | 0.809017 | − | 0.587785i | 0.0361803 | − | 0.0262866i | ||||
\(501\) | −5.32800 | + | 9.22836i | −0.238037 | + | 0.412293i | ||||
\(502\) | −1.35040 | − | 2.33897i | −0.0602715 | − | 0.104393i | ||||
\(503\) | 25.2371 | + | 11.2363i | 1.12527 | + | 0.501001i | 0.883077 | − | 0.469228i | \(-0.155468\pi\) |
0.242190 | + | 0.970229i | \(0.422134\pi\) | |||||||
\(504\) | 2.39450 | + | 1.73970i | 0.106659 | + | 0.0774925i | ||||
\(505\) | −2.73830 | + | 1.21917i | −0.121853 | + | 0.0542524i | ||||
\(506\) | 1.91372 | + | 0.406774i | 0.0850753 | + | 0.0180833i | ||||
\(507\) | −0.0840285 | − | 0.799478i | −0.00373184 | − | 0.0355061i | ||||
\(508\) | −10.9268 | + | 12.1354i | −0.484799 | + | 0.538423i | ||||
\(509\) | −7.20625 | − | 8.00335i | −0.319411 | − | 0.354742i | 0.561962 | − | 0.827163i | \(-0.310047\pi\) |
−0.881373 | + | 0.472421i | \(0.843380\pi\) | |||||||
\(510\) | 0.838261 | − | 7.97552i | 0.0371188 | − | 0.353162i | ||||
\(511\) | 13.9469 | − | 42.9241i | 0.616975 | − | 1.89885i | ||||
\(512\) | 0.309017 | − | 0.951057i | 0.0136568 | − | 0.0420312i | ||||
\(513\) | 0.259212 | − | 2.46624i | 0.0114445 | − | 0.108887i | ||||
\(514\) | 13.3808 | + | 14.8609i | 0.590202 | + | 0.655485i | ||||
\(515\) | −1.57190 | + | 1.74578i | −0.0692664 | + | 0.0769281i | ||||
\(516\) | 0.384118 | + | 3.65464i | 0.0169099 | + | 0.160887i | ||||
\(517\) | −5.71297 | − | 1.21433i | −0.251256 | − | 0.0534062i | ||||
\(518\) | −13.4430 | + | 5.98521i | −0.590651 | + | 0.262975i | ||||
\(519\) | 10.1058 | + | 7.34232i | 0.443597 | + | 0.322292i | ||||
\(520\) | 3.19037 | + | 1.42044i | 0.139907 | + | 0.0622906i | ||||
\(521\) | −19.2375 | − | 33.3203i | −0.842809 | − | 1.45979i | −0.887511 | − | 0.460787i | \(-0.847567\pi\) |
0.0447016 | − | 0.999000i | \(-0.485766\pi\) | |||||||
\(522\) | −1.42045 | + | 2.46030i | −0.0621715 | + | 0.107684i | ||||
\(523\) | −7.15308 | + | 5.19702i | −0.312783 | + | 0.227250i | −0.733090 | − | 0.680132i | \(-0.761922\pi\) |
0.420307 | + | 0.907382i | \(0.361922\pi\) | |||||||
\(524\) | 14.3205 | − | 3.04392i | 0.625595 | − | 0.132974i | ||||
\(525\) | 0.914616 | + | 2.81490i | 0.0399171 | + | 0.122852i | ||||
\(526\) | 9.08922 | 0.396309 | ||||||||
\(527\) | 37.5129 | − | 24.2165i | 1.63409 | − | 1.05489i | ||||
\(528\) | −0.879031 | −0.0382549 | ||||||||
\(529\) | −5.57658 | − | 17.1629i | −0.242460 | − | 0.746215i | ||||
\(530\) | −9.70599 | + | 2.06307i | −0.421601 | + | 0.0896142i | ||||
\(531\) | 3.09482 | − | 2.24852i | 0.134304 | − | 0.0975774i | ||||
\(532\) | 3.66984 | − | 6.35635i | 0.159108 | − | 0.275583i | ||||
\(533\) | 6.91178 | + | 11.9715i | 0.299382 | + | 0.518545i | ||||
\(534\) | −13.3461 | − | 5.94205i | −0.577540 | − | 0.257137i | ||||
\(535\) | 5.62801 | + | 4.08899i | 0.243320 | + | 0.176782i | ||||
\(536\) | −7.02457 | + | 3.12754i | −0.303415 | + | 0.135089i | ||||
\(537\) | −4.03005 | − | 0.856615i | −0.173910 | − | 0.0369656i | ||||
\(538\) | 1.58170 | + | 15.0488i | 0.0681918 | + | 0.648802i | ||||
\(539\) | 1.03531 | − | 1.14983i | 0.0445941 | − | 0.0495267i | ||||
\(540\) | 0.669131 | + | 0.743145i | 0.0287948 | + | 0.0319799i | ||||
\(541\) | −0.972127 | + | 9.24917i | −0.0417950 | + | 0.397653i | 0.953547 | + | 0.301245i | \(0.0974021\pi\) |
−0.995342 | + | 0.0964081i | \(0.969265\pi\) | |||||||
\(542\) | −1.51424 | + | 4.66035i | −0.0650422 | + | 0.200179i | ||||
\(543\) | −4.72429 | + | 14.5399i | −0.202739 | + | 0.623966i | ||||
\(544\) | 0.838261 | − | 7.97552i | 0.0359402 | − | 0.341948i | ||||
\(545\) | 4.48812 | + | 4.98457i | 0.192250 | + | 0.213515i | ||||
\(546\) | −6.91637 | + | 7.68141i | −0.295993 | + | 0.328734i | ||||
\(547\) | −2.92128 | − | 27.7941i | −0.124905 | − | 1.18839i | −0.859952 | − | 0.510374i | \(-0.829507\pi\) |
0.735048 | − | 0.678015i | \(-0.237160\pi\) | |||||||
\(548\) | 9.85725 | + | 2.09522i | 0.421081 | + | 0.0895035i | ||||
\(549\) | 3.56782 | − | 1.58849i | 0.152271 | − | 0.0677953i | ||||
\(550\) | −0.711151 | − | 0.516682i | −0.0303236 | − | 0.0220314i | ||||
\(551\) | 6.43587 | + | 2.86543i | 0.274177 | + | 0.122072i | ||||
\(552\) | −1.11286 | − | 1.92753i | −0.0473664 | − | 0.0820411i | ||||
\(553\) | −13.1689 | + | 22.8092i | −0.559998 | + | 0.969945i | ||||
\(554\) | 22.3165 | − | 16.2139i | 0.948139 | − | 0.688863i | ||||
\(555\) | −4.86311 | + | 1.03368i | −0.206427 | + | 0.0438775i | ||||
\(556\) | 3.28014 | + | 10.0952i | 0.139109 | + | 0.428133i | ||||
\(557\) | −14.8342 | −0.628547 | −0.314273 | − | 0.949333i | \(-0.601761\pi\) | ||||
−0.314273 | + | 0.949333i | \(0.601761\pi\) | |||||||
\(558\) | −0.885929 | + | 5.49683i | −0.0375044 | + | 0.232699i | ||||
\(559\) | −12.8334 | −0.542795 | ||||||||
\(560\) | 0.914616 | + | 2.81490i | 0.0386496 | + | 0.118951i | ||||
\(561\) | −6.89531 | + | 1.46564i | −0.291120 | + | 0.0618795i | ||||
\(562\) | 10.2781 | − | 7.46749i | 0.433556 | − | 0.314997i | ||||
\(563\) | −0.742707 | + | 1.28641i | −0.0313014 | + | 0.0542156i | −0.881252 | − | 0.472647i | \(-0.843298\pi\) |
0.849950 | + | 0.526863i | \(0.176632\pi\) | |||||||
\(564\) | 3.32218 | + | 5.75419i | 0.139889 | + | 0.242295i | ||||
\(565\) | −1.97273 | − | 0.878317i | −0.0829935 | − | 0.0369511i | ||||
\(566\) | 9.68112 | + | 7.03375i | 0.406928 | + | 0.295650i | ||||
\(567\) | −2.70387 | + | 1.20384i | −0.113552 | + | 0.0505566i | ||||
\(568\) | 9.51052 | + | 2.02152i | 0.399053 | + | 0.0848212i | ||||
\(569\) | −3.92520 | − | 37.3458i | −0.164553 | − | 1.56562i | −0.695697 | − | 0.718336i | \(-0.744904\pi\) |
0.531144 | − | 0.847282i | \(-0.321762\pi\) | |||||||
\(570\) | 1.65932 | − | 1.84287i | 0.0695015 | − | 0.0771892i | ||||
\(571\) | 20.6621 | + | 22.9476i | 0.864682 | + | 0.960326i | 0.999534 | − | 0.0305396i | \(-0.00972257\pi\) |
−0.134852 | + | 0.990866i | \(0.543056\pi\) | |||||||
\(572\) | 0.320885 | − | 3.05302i | 0.0134169 | − | 0.127653i | ||||
\(573\) | −7.44061 | + | 22.8998i | −0.310836 | + | 0.956654i | ||||
\(574\) | −3.62033 | + | 11.1422i | −0.151109 | + | 0.465067i | ||||
\(575\) | 0.232651 | − | 2.21353i | 0.00970221 | − | 0.0923104i | ||||
\(576\) | 0.669131 | + | 0.743145i | 0.0278804 | + | 0.0309644i | ||||
\(577\) | −2.63440 | + | 2.92579i | −0.109671 | + | 0.121802i | −0.795481 | − | 0.605979i | \(-0.792782\pi\) |
0.685810 | + | 0.727781i | \(0.259448\pi\) | |||||||
\(578\) | −4.94541 | − | 47.0525i | −0.205702 | − | 1.95712i | ||||
\(579\) | −1.22178 | − | 0.259696i | −0.0507753 | − | 0.0107926i | ||||
\(580\) | −2.59530 | + | 1.15550i | −0.107764 | + | 0.0479795i | ||||
\(581\) | −40.1941 | − | 29.2027i | −1.66753 | − | 1.21153i | ||||
\(582\) | 6.13540 | + | 2.73166i | 0.254321 | + | 0.113231i | ||||
\(583\) | 4.36124 | + | 7.55389i | 0.180624 | + | 0.312850i | ||||
\(584\) | 7.62446 | − | 13.2059i | 0.315502 | − | 0.546466i | ||||
\(585\) | −2.82533 | + | 2.05272i | −0.116813 | + | 0.0848695i | ||||
\(586\) | −12.3954 | + | 2.63472i | −0.512048 | + | 0.108839i | ||||
\(587\) | 8.50043 | + | 26.1616i | 0.350850 | + | 1.07981i | 0.958377 | + | 0.285507i | \(0.0921619\pi\) |
−0.607526 | + | 0.794299i | \(0.707838\pi\) | |||||||
\(588\) | −1.76018 | −0.0725885 | ||||||||
\(589\) | 13.7861 | + | 0.760067i | 0.568047 | + | 0.0313180i | ||||
\(590\) | 3.82541 | 0.157490 | ||||||||
\(591\) | −2.25116 | − | 6.92835i | −0.0926002 | − | 0.284994i | ||||
\(592\) | −4.86311 | + | 1.03368i | −0.199872 | + | 0.0424842i | ||||
\(593\) | −6.48030 | + | 4.70821i | −0.266114 | + | 0.193343i | −0.712838 | − | 0.701329i | \(-0.752591\pi\) |
0.446724 | + | 0.894672i | \(0.352591\pi\) | |||||||
\(594\) | 0.439516 | − | 0.761263i | 0.0180335 | − | 0.0312350i | ||||
\(595\) | 11.8678 | + | 20.5557i | 0.486534 | + | 0.842701i | ||||
\(596\) | −16.5857 | − | 7.38442i | −0.679376 | − | 0.302478i | ||||
\(597\) | 19.1577 | + | 13.9189i | 0.784073 | + | 0.569663i | ||||
\(598\) | 7.10086 | − | 3.16151i | 0.290376 | − | 0.129284i | ||||
\(599\) | −44.3982 | − | 9.43714i | −1.81406 | − | 0.385591i | −0.829203 | − | 0.558947i | \(-0.811206\pi\) |
−0.984859 | + | 0.173356i | \(0.944539\pi\) | |||||||
\(600\) | 0.104528 | + | 0.994522i | 0.00426736 | + | 0.0406012i | ||||
\(601\) | −10.2423 | + | 11.3752i | −0.417792 | + | 0.464005i | −0.914898 | − | 0.403685i | \(-0.867729\pi\) |
0.497106 | + | 0.867690i | \(0.334396\pi\) | |||||||
\(602\) | −7.27776 | − | 8.08278i | −0.296619 | − | 0.329429i | ||||
\(603\) | 0.803756 | − | 7.64723i | 0.0327315 | − | 0.311419i | ||||
\(604\) | −6.24365 | + | 19.2160i | −0.254050 | + | 0.781887i | ||||
\(605\) | 3.16041 | − | 9.72674i | 0.128489 | − | 0.395448i | ||||
\(606\) | 0.313318 | − | 2.98102i | 0.0127277 | − | 0.121096i | ||||
\(607\) | 10.1807 | + | 11.3068i | 0.413222 | + | 0.458929i | 0.913442 | − | 0.406969i | \(-0.133414\pi\) |
−0.500220 | + | 0.865898i | \(0.666748\pi\) | |||||||
\(608\) | 1.65932 | − | 1.84287i | 0.0672945 | − | 0.0747381i | ||||
\(609\) | −0.878917 | − | 8.36233i | −0.0356155 | − | 0.338859i | ||||
\(610\) | 3.82012 | + | 0.811991i | 0.154672 | + | 0.0328765i | ||||
\(611\) | −21.1980 | + | 9.43795i | −0.857579 | + | 0.381819i | ||||
\(612\) | 6.48787 | + | 4.71372i | 0.262257 | + | 0.190541i | ||||
\(613\) | −18.9062 | − | 8.41756i | −0.763612 | − | 0.339982i | −0.0122961 | − | 0.999924i | \(-0.503914\pi\) |
−0.751316 | + | 0.659942i | \(0.770581\pi\) | |||||||
\(614\) | 4.60642 | + | 7.97856i | 0.185900 | + | 0.321988i | ||||
\(615\) | −1.97915 | + | 3.42799i | −0.0798071 | + | 0.138230i | ||||
\(616\) | 2.10484 | − | 1.52925i | 0.0848063 | − | 0.0616154i | ||||
\(617\) | 44.9540 | − | 9.55527i | 1.80978 | − | 0.384681i | 0.825944 | − | 0.563753i | \(-0.190643\pi\) |
0.983836 | + | 0.179072i | \(0.0573096\pi\) | |||||||
\(618\) | −0.725935 | − | 2.23420i | −0.0292014 | − | 0.0898726i | ||||
\(619\) | 4.82990 | 0.194130 | 0.0970650 | − | 0.995278i | \(-0.469055\pi\) | ||||
0.0970650 | + | 0.995278i | \(0.469055\pi\) | |||||||
\(620\) | −3.94769 | + | 3.92629i | −0.158543 | + | 0.157684i | ||||
\(621\) | 2.22572 | 0.0893150 | ||||||||
\(622\) | 9.65366 | + | 29.7109i | 0.387076 | + | 1.19130i | ||||
\(623\) | 42.2945 | − | 8.98997i | 1.69449 | − | 0.360175i | ||||
\(624\) | −2.82533 | + | 2.05272i | −0.113104 | + | 0.0821745i | ||||
\(625\) | −0.500000 | + | 0.866025i | −0.0200000 | + | 0.0346410i | ||||
\(626\) | 3.83090 | + | 6.63532i | 0.153114 | + | 0.265201i | ||||
\(627\) | −1.99138 | − | 0.886621i | −0.0795282 | − | 0.0354082i | ||||
\(628\) | −3.82742 | − | 2.78078i | −0.152731 | − | 0.110965i | ||||
\(629\) | −36.4237 | + | 16.2169i | −1.45231 | + | 0.646610i | ||||
\(630\) | −2.89508 | − | 0.615369i | −0.115343 | − | 0.0245169i | ||||
\(631\) | 4.25756 | + | 40.5079i | 0.169491 | + | 1.61260i | 0.666946 | + | 0.745106i | \(0.267601\pi\) |
−0.497455 | + | 0.867490i | \(0.665732\pi\) | |||||||
\(632\) | −5.95434 | + | 6.61296i | −0.236851 | + | 0.263049i | ||||
\(633\) | −7.64361 | − | 8.48909i | −0.303806 | − | 0.337411i | ||||
\(634\) | 2.10916 | − | 20.0673i | 0.0837653 | − | 0.796974i | ||||
\(635\) | 5.04620 | − | 15.5306i | 0.200252 | − | 0.616314i | ||||
\(636\) | 3.06632 | − | 9.43717i | 0.121588 | − | 0.374208i | ||||
\(637\) | 0.642542 | − | 6.11338i | 0.0254585 | − | 0.242221i | ||||
\(638\) | 1.67098 | + | 1.85581i | 0.0661548 | + | 0.0734724i | ||||
\(639\) | −6.50595 | + | 7.22559i | −0.257371 | + | 0.285840i | ||||
\(640\) | 0.104528 | + | 0.994522i | 0.00413185 | + | 0.0393119i | ||||
\(641\) | −27.5011 | − | 5.84553i | −1.08623 | − | 0.230885i | −0.370196 | − | 0.928953i | \(-0.620710\pi\) |
−0.716031 | + | 0.698069i | \(0.754043\pi\) | |||||||
\(642\) | −6.35517 | + | 2.82951i | −0.250819 | + | 0.111672i | ||||
\(643\) | 16.9577 | + | 12.3205i | 0.668745 | + | 0.485871i | 0.869605 | − | 0.493748i | \(-0.164374\pi\) |
−0.200860 | + | 0.979620i | \(0.564374\pi\) | |||||||
\(644\) | 6.01806 | + | 2.67941i | 0.237145 | + | 0.105584i | ||||
\(645\) | −1.83739 | − | 3.18245i | −0.0723470 | − | 0.125309i | ||||
\(646\) | 9.94341 | − | 17.2225i | 0.391218 | − | 0.677610i | ||||
\(647\) | −32.2298 | + | 23.4163i | −1.26708 | + | 0.920590i | −0.999082 | − | 0.0428291i | \(-0.986363\pi\) |
−0.268001 | + | 0.963419i | \(0.586363\pi\) | |||||||
\(648\) | −0.978148 | + | 0.207912i | −0.0384253 | + | 0.00816754i | ||||
\(649\) | −1.03912 | − | 3.19808i | −0.0407889 | − | 0.125535i | ||||
\(650\) | −3.49229 | −0.136979 | ||||||||
\(651\) | −7.44150 | − | 14.7034i | −0.291655 | − | 0.576271i | ||||
\(652\) | −2.50964 | −0.0982851 | ||||||||
\(653\) | −12.3217 | − | 37.9224i | −0.482187 | − | 1.48402i | −0.836014 | − | 0.548708i | \(-0.815120\pi\) |
0.353827 | − | 0.935311i | \(-0.384880\pi\) | |||||||
\(654\) | −6.56082 | + | 1.39455i | −0.256549 | + | 0.0545311i | ||||
\(655\) | −11.8444 | + | 8.60544i | −0.462798 | + | 0.336242i | ||||
\(656\) | −1.97915 | + | 3.42799i | −0.0772729 | + | 0.133841i | ||||
\(657\) | 7.62446 | + | 13.2059i | 0.297458 | + | 0.515213i | ||||
\(658\) | −17.9655 | − | 7.99877i | −0.700369 | − | 0.311825i | ||||
\(659\) | 10.0842 | + | 7.32660i | 0.392825 | + | 0.285404i | 0.766612 | − | 0.642111i | \(-0.221941\pi\) |
−0.373787 | + | 0.927514i | \(0.621941\pi\) | |||||||
\(660\) | 0.803035 | − | 0.357534i | 0.0312581 | − | 0.0139170i | ||||
\(661\) | −20.3432 | − | 4.32407i | −0.791257 | − | 0.168187i | −0.205482 | − | 0.978661i | \(-0.565876\pi\) |
−0.585775 | + | 0.810474i | \(0.699210\pi\) | |||||||
\(662\) | 1.43298 | + | 13.6339i | 0.0556942 | + | 0.529895i | ||||
\(663\) | −18.7399 | + | 20.8127i | −0.727796 | + | 0.808300i | ||||
\(664\) | −11.2321 | − | 12.4745i | −0.435888 | − | 0.484103i | ||||
\(665\) | −0.767205 | + | 7.29947i | −0.0297509 | + | 0.283061i | ||||
\(666\) | 1.53636 | − | 4.72842i | 0.0595326 | − | 0.183222i | ||||
\(667\) | −1.95393 | + | 6.01358i | −0.0756565 | + | 0.232847i | ||||
\(668\) | 1.11385 | − | 10.5976i | 0.0430963 | − | 0.410034i | ||||
\(669\) | −8.26599 | − | 9.18031i | −0.319582 | − | 0.354931i | ||||
\(670\) | 5.14518 | − | 5.71430i | 0.198776 | − | 0.220763i | ||||
\(671\) | −0.358848 | − | 3.41422i | −0.0138532 | − | 0.131804i | ||||
\(672\) | −2.89508 | − | 0.615369i | −0.111680 | − | 0.0237384i | ||||
\(673\) | −22.8823 | + | 10.1879i | −0.882048 | + | 0.392713i | −0.797224 | − | 0.603683i | \(-0.793699\pi\) |
−0.0848232 | + | 0.996396i | \(0.527033\pi\) | |||||||
\(674\) | −23.7342 | − | 17.2439i | −0.914206 | − | 0.664210i | ||||
\(675\) | −0.913545 | − | 0.406737i | −0.0351624 | − | 0.0156553i | ||||
\(676\) | 0.401941 | + | 0.696182i | 0.0154593 | + | 0.0267762i | ||||
\(677\) | 7.93110 | − | 13.7371i | 0.304817 | − | 0.527958i | −0.672404 | − | 0.740185i | \(-0.734738\pi\) |
0.977221 | + | 0.212226i | \(0.0680714\pi\) | |||||||
\(678\) | 1.74701 | − | 1.26928i | 0.0670935 | − | 0.0487463i | ||||
\(679\) | −19.4435 | + | 4.13284i | −0.746172 | + | 0.158604i | ||||
\(680\) | 2.47815 | + | 7.62695i | 0.0950326 | + | 0.292480i | ||||
\(681\) | −12.7053 | −0.486870 | ||||||||
\(682\) | 4.35475 | + | 2.23378i | 0.166752 | + | 0.0855358i | ||||
\(683\) | −5.88130 | −0.225042 | −0.112521 | − | 0.993649i | \(-0.535892\pi\) | ||||
−0.112521 | + | 0.993649i | \(0.535892\pi\) | |||||||
\(684\) | 0.766307 | + | 2.35845i | 0.0293005 | + | 0.0901776i | ||||
\(685\) | −9.85725 | + | 2.09522i | −0.376626 | + | 0.0800544i | ||||
\(686\) | −12.5467 | + | 9.11574i | −0.479037 | + | 0.348040i | ||||
\(687\) | −4.64974 | + | 8.05358i | −0.177399 | + | 0.307263i | ||||
\(688\) | −1.83739 | − | 3.18245i | −0.0700497 | − | 0.121330i | ||||
\(689\) | 31.6575 | + | 14.0948i | 1.20605 | + | 0.536970i | ||||
\(690\) | 1.80064 | + | 1.30824i | 0.0685493 | + | 0.0498040i | ||||
\(691\) | 26.2828 | − | 11.7019i | 0.999846 | − | 0.445160i | 0.159493 | − | 0.987199i | \(-0.449014\pi\) |
0.840353 | + | 0.542039i | \(0.182347\pi\) | |||||||
\(692\) | −12.2185 | − | 2.59713i | −0.464479 | − | 0.0987280i | ||||
\(693\) | 0.271954 | + | 2.58747i | 0.0103307 | + | 0.0982898i | ||||
\(694\) | 6.18441 | − | 6.86848i | 0.234757 | − | 0.260724i | ||||
\(695\) | −7.10266 | − | 7.88830i | −0.269419 | − | 0.299220i | ||||
\(696\) | 0.296955 | − | 2.82534i | 0.0112561 | − | 0.107094i | ||||
\(697\) | −9.80926 | + | 30.1898i | −0.371552 | + | 1.14352i | ||||
\(698\) | 0.175105 | − | 0.538918i | 0.00662783 | − | 0.0203983i | ||||
\(699\) | 0.437848 | − | 4.16585i | 0.0165609 | − | 0.157567i | ||||
\(700\) | −1.98047 | − | 2.19953i | −0.0748546 | − | 0.0831344i | ||||
\(701\) | 23.9082 | − | 26.5527i | 0.903000 | − | 1.00288i | −0.0969712 | − | 0.995287i | \(-0.530915\pi\) |
0.999971 | − | 0.00759590i | \(-0.00241787\pi\) | |||||||
\(702\) | −0.365044 | − | 3.47316i | −0.0137777 | − | 0.131086i | ||||
\(703\) | −12.0596 | − | 2.56335i | −0.454838 | − | 0.0966787i | ||||
\(704\) | 0.803035 | − | 0.357534i | 0.0302655 | − | 0.0134751i | ||||
\(705\) | −5.37541 | − | 3.90546i | −0.202449 | − | 0.147088i | ||||
\(706\) | 24.9164 | + | 11.0935i | 0.937740 | + | 0.417509i | ||||
\(707\) | 4.43586 | + | 7.68313i | 0.166828 | + | 0.288954i | ||||
\(708\) | −1.91271 | + | 3.31290i | −0.0718839 | + | 0.124506i | ||||
\(709\) | −16.4340 | + | 11.9400i | −0.617190 | + | 0.448415i | −0.851939 | − | 0.523641i | \(-0.824573\pi\) |
0.234749 | + | 0.972056i | \(0.424573\pi\) | |||||||
\(710\) | −9.51052 | + | 2.02152i | −0.356923 | + | 0.0758664i | ||||
\(711\) | −2.74982 | − | 8.46309i | −0.103126 | − | 0.317390i | ||||
\(712\) | 14.6091 | 0.547498 | ||||||||
\(713\) | 0.614934 | + | 12.3770i | 0.0230294 | + | 0.463523i | ||||
\(714\) | −23.7357 | −0.888285 | ||||||||
\(715\) | 0.948631 | + | 2.91959i | 0.0354768 | + | 0.109186i | ||||
\(716\) | 4.03005 | − | 0.856615i | 0.150610 | − | 0.0320132i | ||||
\(717\) | −1.94179 | + | 1.41079i | −0.0725175 | + | 0.0526871i | ||||
\(718\) | −2.92548 | + | 5.06708i | −0.109178 | + | 0.189102i | ||||
\(719\) | −10.6201 | − | 18.3945i | −0.396062 | − | 0.686000i | 0.597174 | − | 0.802112i | \(-0.296290\pi\) |
−0.993236 | + | 0.116112i | \(0.962957\pi\) | |||||||
\(720\) | −0.913545 | − | 0.406737i | −0.0340458 | − | 0.0151582i | ||||
\(721\) | 5.62509 | + | 4.08687i | 0.209489 | + | 0.152203i | ||||
\(722\) | −11.7395 | + | 5.22676i | −0.436899 | + | 0.194520i | ||||
\(723\) | 14.8884 | + | 3.16462i | 0.553705 | + | 0.117694i | ||||
\(724\) | −1.59805 | − | 15.2044i | −0.0593909 | − | 0.565067i | ||||
\(725\) | 1.90094 | − | 2.11120i | 0.0705990 | − | 0.0784082i | ||||
\(726\) | 6.84340 | + | 7.60037i | 0.253982 | + | 0.282076i | ||||
\(727\) | 1.03045 | − | 9.80412i | 0.0382174 | − | 0.363615i | −0.958654 | − | 0.284574i | \(-0.908148\pi\) |
0.996871 | − | 0.0790404i | \(-0.0251856\pi\) | |||||||
\(728\) | 3.19411 | − | 9.83045i | 0.118382 | − | 0.364341i | ||||
\(729\) | 0.309017 | − | 0.951057i | 0.0114451 | − | 0.0352243i | ||||
\(730\) | −1.59395 | + | 15.1654i | −0.0589946 | + | 0.561296i | ||||
\(731\) | −19.7191 | − | 21.9002i | −0.729336 | − | 0.810010i | ||||
\(732\) | −2.61326 | + | 2.90232i | −0.0965890 | + | 0.107273i | ||||
\(733\) | 0.378284 | + | 3.59913i | 0.0139722 | + | 0.132937i | 0.999284 | − | 0.0378263i | \(-0.0120434\pi\) |
−0.985312 | + | 0.170763i | \(0.945377\pi\) | |||||||
\(734\) | −12.4146 | − | 2.63881i | −0.458232 | − | 0.0974001i | ||||
\(735\) | 1.60800 | − | 0.715928i | 0.0593120 | − | 0.0264074i | ||||
\(736\) | 1.80064 | + | 1.30824i | 0.0663726 | + | 0.0482225i | ||||
\(737\) | −6.17482 | − | 2.74921i | −0.227452 | − | 0.101268i | ||||
\(738\) | −1.97915 | − | 3.42799i | −0.0728535 | − | 0.126186i | ||||
\(739\) | 1.20425 | − | 2.08583i | 0.0442991 | − | 0.0767283i | −0.843026 | − | 0.537873i | \(-0.819228\pi\) |
0.887325 | + | 0.461145i | \(0.152561\pi\) | |||||||
\(740\) | 4.02223 | − | 2.92232i | 0.147860 | − | 0.107427i | ||||
\(741\) | −8.47102 | + | 1.80057i | −0.311191 | + | 0.0661456i | ||||
\(742\) | 9.07558 | + | 27.9318i | 0.333175 | + | 1.02541i | ||||
\(743\) | −43.0431 | −1.57910 | −0.789549 | − | 0.613688i | \(-0.789685\pi\) | ||||
−0.789549 | + | 0.613688i | \(0.789685\pi\) | |||||||
\(744\) | −1.42643 | − | 5.38194i | −0.0522953 | − | 0.197312i | ||||
\(745\) | 18.1553 | 0.665158 | ||||||||
\(746\) | 6.84654 | + | 21.0715i | 0.250670 | + | 0.771482i | ||||
\(747\) | 16.4192 | − | 3.49001i | 0.600748 | − | 0.127693i | ||||
\(748\) | 5.70304 | − | 4.14350i | 0.208524 | − | 0.151502i | ||||
\(749\) | 10.2949 | − | 17.8314i | 0.376169 | − | 0.651544i | ||||
\(750\) | −0.500000 | − | 0.866025i | −0.0182574 | − | 0.0316228i | ||||
\(751\) | 25.1087 | + | 11.1791i | 0.916231 | + | 0.407932i | 0.810014 | − | 0.586411i | \(-0.199459\pi\) |
0.106217 | + | 0.994343i | \(0.466126\pi\) | |||||||
\(752\) | −5.37541 | − | 3.90546i | −0.196021 | − | 0.142417i | ||||
\(753\) | −2.46731 | + | 1.09852i | −0.0899138 | + | 0.0400322i | ||||
\(754\) | 9.70447 | + | 2.06275i | 0.353416 | + | 0.0751209i | ||||
\(755\) | −2.11198 | − | 20.0942i | −0.0768629 | − | 0.731302i | ||||
\(756\) | 1.98047 | − | 2.19953i | 0.0720288 | − | 0.0799961i | ||||
\(757\) | −20.6794 | − | 22.9668i | −0.751607 | − | 0.834744i | 0.239067 | − | 0.971003i | \(-0.423159\pi\) |
−0.990673 | + | 0.136259i | \(0.956492\pi\) | |||||||
\(758\) | −3.53552 | + | 33.6382i | −0.128416 | + | 1.22179i | ||||
\(759\) | 0.604584 | − | 1.86072i | 0.0219450 | − | 0.0675398i | ||||
\(760\) | −0.766307 | + | 2.35845i | −0.0277969 | + | 0.0855500i | ||||
\(761\) | −3.48875 | + | 33.1933i | −0.126467 | + | 1.20326i | 0.728674 | + | 0.684861i | \(0.240137\pi\) |
−0.855141 | + | 0.518395i | \(0.826530\pi\) | |||||||
\(762\) | 10.9268 | + | 12.1354i | 0.395836 | + | 0.439621i | ||||
\(763\) | 13.2838 | − | 14.7531i | 0.480905 | − | 0.534099i | ||||
\(764\) | −2.51687 | − | 23.9464i | −0.0910571 | − | 0.866351i | ||||
\(765\) | −7.84421 | − | 1.66734i | −0.283608 | − | 0.0602827i | ||||
\(766\) | −15.5308 | + | 6.91475i | −0.561150 | + | 0.249840i | ||||
\(767\) | −10.8080 | − | 7.85249i | −0.390255 | − | 0.283537i | ||||
\(768\) | −0.913545 | − | 0.406737i | −0.0329647 | − | 0.0146768i | ||||
\(769\) | 4.56641 | + | 7.90925i | 0.164669 | + | 0.285215i | 0.936538 | − | 0.350567i | \(-0.114011\pi\) |
−0.771869 | + | 0.635782i | \(0.780678\pi\) | |||||||
\(770\) | −1.30086 | + | 2.25316i | −0.0468798 | + | 0.0811981i | ||||
\(771\) | 16.1781 | − | 11.7541i | 0.582642 | − | 0.423314i | ||||
\(772\) | 1.22178 | − | 0.259696i | 0.0439727 | − | 0.00934668i | ||||
\(773\) | 1.13355 | + | 3.48871i | 0.0407709 | + | 0.125480i | 0.969370 | − | 0.245604i | \(-0.0789862\pi\) |
−0.928599 | + | 0.371084i | \(0.878986\pi\) | |||||||
\(774\) | 3.67477 | 0.132087 | ||||||||
\(775\) | 2.00942 | − | 5.19252i | 0.0721807 | − | 0.186521i | ||||
\(776\) | −6.71603 | −0.241092 | ||||||||
\(777\) | 4.54724 | + | 13.9950i | 0.163131 | + | 0.502067i | ||||
\(778\) | −30.6802 | + | 6.52127i | −1.09994 | + | 0.233799i | ||||
\(779\) | −7.94122 | + | 5.76963i | −0.284524 | + | 0.206718i | ||||
\(780\) | 1.74615 | − | 3.02442i | 0.0625221 | − | 0.108291i | ||||
\(781\) | 4.27341 | + | 7.40176i | 0.152915 | + | 0.264856i | ||||
\(782\) | 16.3059 | + | 7.25986i | 0.583098 | + | 0.259612i | ||||
\(783\) | 2.29834 | + | 1.66984i | 0.0821360 | + | 0.0596753i | ||||
\(784\) | 1.60800 | − | 0.715928i | 0.0574286 | − | 0.0255689i | ||||
\(785\) | 4.62756 | + | 0.983619i | 0.165165 | + | 0.0351069i | ||||
\(786\) | −1.53034 | − | 14.5602i | −0.0545855 | − | 0.519347i | ||||
\(787\) | −36.0275 | + | 40.0126i | −1.28424 | + | 1.42630i | −0.433112 | + | 0.901340i | \(0.642585\pi\) |
−0.851130 | + | 0.524955i | \(0.824082\pi\) | |||||||
\(788\) | 4.87455 | + | 5.41373i | 0.173649 | + | 0.192856i | ||||
\(789\) | 0.950082 | − | 9.03943i | 0.0338238 | − | 0.321812i | ||||
\(790\) | 2.74982 | − | 8.46309i | 0.0978343 | − | 0.301103i | ||||
\(791\) | −1.97504 | + | 6.07856i | −0.0702245 | + | 0.216129i | ||||
\(792\) | −0.0918838 | + | 0.874216i | −0.00326495 | + | 0.0310639i | ||||
\(793\) | −9.12628 | − | 10.1358i | −0.324084 | − | 0.359931i | ||||
\(794\) | 15.1635 | − | 16.8408i | 0.538134 | − | 0.597658i | ||||
\(795\) | 1.03722 | + | 9.86847i | 0.0367863 | + | 0.349999i | ||||
\(796\) | −23.1628 | − | 4.92340i | −0.820983 | − | 0.174505i | ||||
\(797\) | −24.0552 | + | 10.7101i | −0.852079 | + | 0.379370i | −0.785837 | − | 0.618434i | \(-0.787768\pi\) |
−0.0662418 | + | 0.997804i | \(0.521101\pi\) | |||||||
\(798\) | −5.93792 | − | 4.31415i | −0.210200 | − | 0.152719i | ||||
\(799\) | −48.6775 | − | 21.6726i | −1.72209 | − | 0.766723i | ||||
\(800\) | −0.500000 | − | 0.866025i | −0.0176777 | − | 0.0306186i | ||||
\(801\) | −7.30454 | + | 12.6518i | −0.258093 | + | 0.447030i | ||||
\(802\) | −19.2508 | + | 13.9865i | −0.679771 | + | 0.493882i | ||||
\(803\) | 13.1114 | − | 2.78690i | 0.462690 | − | 0.0983477i | ||||
\(804\) | 2.37614 | + | 7.31301i | 0.0838000 | + | 0.257910i | ||||
\(805\) | −6.58759 | −0.232182 | ||||||||
\(806\) | 19.2131 | − | 2.98956i | 0.676752 | − | 0.105303i | ||||
\(807\) | 15.1317 | 0.532662 | ||||||||
\(808\) | 0.926261 | + | 2.85074i | 0.0325858 | + | 0.100289i | ||||
\(809\) | −6.44630 | + | 1.37020i | −0.226640 | + | 0.0481738i | −0.319832 | − | 0.947474i | \(-0.603626\pi\) |
0.0931918 | + | 0.995648i | \(0.470293\pi\) | |||||||
\(810\) | 0.809017 | − | 0.587785i | 0.0284260 | − | 0.0206527i | ||||
\(811\) | 15.7635 | − | 27.3032i | 0.553531 | − | 0.958743i | −0.444486 | − | 0.895786i | \(-0.646613\pi\) |
0.998016 | − | 0.0629573i | \(-0.0200532\pi\) | |||||||
\(812\) | 4.20420 | + | 7.28189i | 0.147538 | + | 0.255544i | ||||
\(813\) | 4.47654 | + | 1.99308i | 0.156999 | + | 0.0699005i | ||||
\(814\) | −3.53567 | − | 2.56881i | −0.123925 | − | 0.0900368i | ||||
\(815\) | 2.29267 | − | 1.02076i | 0.0803087 | − | 0.0357557i | ||||
\(816\) | −7.84421 | − | 1.66734i | −0.274602 | − | 0.0583685i | ||||
\(817\) | −0.952545 | − | 9.06286i | −0.0333253 | − | 0.317069i | ||||
\(818\) | −2.49765 | + | 2.77392i | −0.0873283 | + | 0.0969879i | ||||
\(819\) | 6.91637 | + | 7.68141i | 0.241677 | + | 0.268410i | ||||
\(820\) | 0.413755 | − | 3.93662i | 0.0144490 | − | 0.137473i | ||||
\(821\) | −11.4753 | + | 35.3174i | −0.400491 | + | 1.23259i | 0.524110 | + | 0.851650i | \(0.324398\pi\) |
−0.924602 | + | 0.380935i | \(0.875602\pi\) | |||||||
\(822\) | 3.11411 | − | 9.58424i | 0.108617 | − | 0.334289i | ||||
\(823\) | −3.60985 | + | 34.3455i | −0.125832 | + | 1.19721i | 0.731280 | + | 0.682077i | \(0.238923\pi\) |
−0.857112 | + | 0.515130i | \(0.827744\pi\) | |||||||
\(824\) | 1.57190 | + | 1.74578i | 0.0547599 | + | 0.0608170i | ||||
\(825\) | −0.588187 | + | 0.653248i | −0.0204780 | + | 0.0227432i | ||||
\(826\) | −1.18350 | − | 11.2603i | −0.0411793 | − | 0.391795i | ||||
\(827\) | 47.5200 | + | 10.1007i | 1.65243 | + | 0.351235i | 0.937507 | − | 0.347965i | \(-0.113127\pi\) |
0.714925 | + | 0.699201i | \(0.246461\pi\) | |||||||
\(828\) | −2.03329 | + | 0.905281i | −0.0706619 | + | 0.0314607i | ||||
\(829\) | −26.3961 | − | 19.1779i | −0.916773 | − | 0.666075i | 0.0259456 | − | 0.999663i | \(-0.491740\pi\) |
−0.942719 | + | 0.333589i | \(0.891740\pi\) | |||||||
\(830\) | 15.3348 | + | 6.82750i | 0.532279 | + | 0.236986i | ||||
\(831\) | −13.7924 | − | 23.8891i | −0.478452 | − | 0.828704i | ||||
\(832\) | 1.74615 | − | 3.02442i | 0.0605368 | − | 0.104853i | ||||
\(833\) | 11.4198 | − | 8.29698i | 0.395673 | − | 0.287473i | ||||
\(834\) | 10.3828 | − | 2.20693i | 0.359527 | − | 0.0764198i | ||||
\(835\) | 3.29288 | + | 10.1344i | 0.113955 | + | 0.350717i | ||||
\(836\) | 2.17984 | 0.0753914 | ||||||||
\(837\) | 5.37411 | + | 1.45565i | 0.185756 | + | 0.0503147i | ||||
\(838\) | −0.519809 | −0.0179565 | ||||||||
\(839\) | 6.24228 | + | 19.2118i | 0.215507 | + | 0.663264i | 0.999117 | + | 0.0420102i | \(0.0133762\pi\) |
−0.783610 | + | 0.621253i | \(0.786624\pi\) | |||||||
\(840\) | 2.89508 | − | 0.615369i | 0.0998898 | − | 0.0212322i | ||||
\(841\) | 16.9321 | − | 12.3019i | 0.583866 | − | 0.424204i | ||||
\(842\) | −5.95048 | + | 10.3065i | −0.205067 | + | 0.355186i | ||||
\(843\) | −6.35222 | − | 11.0024i | −0.218782 | − | 0.378942i | ||||
\(844\) | 10.4356 | + | 4.64623i | 0.359209 | + | 0.159930i | ||||
\(845\) | −0.650354 | − | 0.472510i | −0.0223729 | − | 0.0162548i | ||||
\(846\) | 6.06993 | − | 2.70251i | 0.208689 | − | 0.0929141i | ||||
\(847\) | −29.6089 | − | 6.29356i | −1.01737 | − | 0.216249i | ||||
\(848\) | 1.03722 | + | 9.86847i | 0.0356182 | + | 0.338885i | ||||
\(849\) | 8.00717 | − | 8.89286i | 0.274805 | − | 0.305202i | ||||
\(850\) | −5.36606 | − | 5.95962i | −0.184054 | − | 0.204413i | ||||
\(851\) | 1.15668 | − | 11.0051i | 0.0396506 | − | 0.377250i | ||||
\(852\) | 3.00457 | − | 9.24711i | 0.102935 | − | 0.316801i | ||||
\(853\) | 10.3620 | − | 31.8908i | 0.354787 | − | 1.09192i | −0.601346 | − | 0.798988i | \(-0.705369\pi\) |
0.956133 | − | 0.292933i | \(-0.0946312\pi\) | |||||||
\(854\) | 1.20827 | − | 11.4959i | 0.0413461 | − | 0.393382i | ||||
\(855\) | −1.65932 | − | 1.84287i | −0.0567477 | − | 0.0630247i | ||||
\(856\) | 4.65488 | − | 5.16976i | 0.159100 | − | 0.176699i | ||||
\(857\) | −2.39225 | − | 22.7607i | −0.0817177 | − | 0.777492i | −0.956255 | − | 0.292534i | \(-0.905502\pi\) |
0.874537 | − | 0.484958i | \(-0.161165\pi\) | |||||||
\(858\) | −3.00275 | − | 0.638255i | −0.102512 | − | 0.0217897i | ||||
\(859\) | −19.7368 | + | 8.78737i | −0.673410 | + | 0.299821i | −0.714807 | − | 0.699321i | \(-0.753486\pi\) |
0.0413977 | + | 0.999143i | \(0.486819\pi\) | |||||||
\(860\) | 2.97295 | + | 2.15998i | 0.101377 | + | 0.0736546i | ||||
\(861\) | 10.7028 | + | 4.76517i | 0.364749 | + | 0.162397i | ||||
\(862\) | 7.81005 | + | 13.5274i | 0.266011 | + | 0.460745i | ||||
\(863\) | −16.5238 | + | 28.6201i | −0.562478 | + | 0.974240i | 0.434802 | + | 0.900526i | \(0.356818\pi\) |
−0.997279 | + | 0.0737136i | \(0.976515\pi\) | |||||||
\(864\) | 0.809017 | − | 0.587785i | 0.0275233 | − | 0.0199969i | ||||
\(865\) | 12.2185 | − | 2.59713i | 0.415442 | − | 0.0883050i | ||||
\(866\) | 7.96265 | + | 24.5065i | 0.270582 | + | 0.832765i | ||||
\(867\) | −47.3116 | −1.60679 | ||||||||
\(868\) | 12.7786 | + | 10.4055i | 0.433732 | + | 0.353185i | ||||
\(869\) | −7.82216 | −0.265349 | ||||||||
\(870\) | 0.877888 | + | 2.70186i | 0.0297632 | + | 0.0916017i | ||||
\(871\) | −26.2667 | + | 5.58315i | −0.890012 | + | 0.189178i | ||||
\(872\) | 5.42640 | − | 3.94251i | 0.183761 | − | 0.133510i | ||||
\(873\) | 3.35802 | − | 5.81626i | 0.113652 | − | 0.196850i | ||||
\(874\) | 2.75969 | + | 4.77993i | 0.0933480 | + | 0.161683i | ||||
\(875\) | 2.70387 | + | 1.20384i | 0.0914077 | + | 0.0406973i | ||||
\(876\) | −12.3366 | − | 8.96309i | −0.416816 | − | 0.302835i | ||||
\(877\) | 35.5570 | − | 15.8310i | 1.20067 | − | 0.534574i | 0.293755 | − | 0.955881i | \(-0.405095\pi\) |
0.906919 | + | 0.421306i | \(0.138428\pi\) | |||||||
\(878\) | 11.9836 | + | 2.54719i | 0.404426 | + | 0.0859634i | ||||
\(879\) | 1.32462 | + | 12.6029i | 0.0446782 | + | 0.425084i | ||||
\(880\) | −0.588187 | + | 0.653248i | −0.0198278 | + | 0.0220210i | ||||
\(881\) | −24.5451 | − | 27.2601i | −0.826946 | − | 0.918416i | 0.170815 | − | 0.985303i | \(-0.445360\pi\) |
−0.997761 | + | 0.0668870i | \(0.978693\pi\) | |||||||
\(882\) | −0.183989 | + | 1.75053i | −0.00619522 | + | 0.0589436i | ||||
\(883\) | 4.02753 | − | 12.3955i | 0.135537 | − | 0.417141i | −0.860136 | − | 0.510065i | \(-0.829621\pi\) |
0.995673 | + | 0.0929242i | \(0.0296214\pi\) | |||||||
\(884\) | 8.65442 | − | 26.6356i | 0.291080 | − | 0.895851i | ||||
\(885\) | 0.399864 | − | 3.80445i | 0.0134413 | − | 0.127885i | ||||
\(886\) | 17.3300 | + | 19.2470i | 0.582214 | + | 0.646614i | ||||
\(887\) | −24.8907 | + | 27.6439i | −0.835749 | + | 0.928193i | −0.998287 | − | 0.0585094i | \(-0.981365\pi\) |
0.162538 | + | 0.986702i | \(0.448032\pi\) | |||||||
\(888\) | 0.519689 | + | 4.94451i | 0.0174396 | + | 0.165927i | ||||
\(889\) | −47.2763 | − | 10.0489i | −1.58559 | − | 0.337029i | ||||
\(890\) | −13.3461 | + | 5.94205i | −0.447361 | + | 0.199178i | ||||
\(891\) | −0.711151 | − | 0.516682i | −0.0238245 | − | 0.0173095i | ||||
\(892\) | 11.2853 | + | 5.02455i | 0.377861 | + | 0.168234i | ||||
\(893\) | −8.23842 | − | 14.2694i | −0.275688 | − | 0.477506i | ||||
\(894\) | −9.07764 | + | 15.7229i | −0.303602 | + | 0.525854i | ||||
\(895\) | −3.33322 | + | 2.42173i | −0.111417 | + | 0.0809494i | ||||
\(896\) | 2.89508 | − | 0.615369i | 0.0967179 | − | 0.0205580i | ||||
\(897\) | −2.40195 | − | 7.39243i | −0.0801987 | − | 0.246826i | ||||
\(898\) | −8.52859 | −0.284603 | ||||||||
\(899\) | −8.65084 | + | 13.2422i | −0.288522 | + | 0.441652i | ||||
\(900\) | 1.00000 | 0.0333333 | ||||||||
\(901\) | 24.5902 | + | 75.6810i | 0.819220 | + | 2.52130i | ||||
\(902\) | −3.40344 | + | 0.723423i | −0.113322 | + | 0.0240873i | ||||
\(903\) | −8.79923 | + | 6.39301i | −0.292820 | + | 0.212746i | ||||
\(904\) | −1.07971 | + | 1.87012i | −0.0359107 | + | 0.0621991i | ||||
\(905\) | 7.64407 | + | 13.2399i | 0.254097 | + | 0.440110i | ||||
\(906\) | 18.4581 | + | 8.21806i | 0.613228 | + | 0.273027i | ||||
\(907\) | −5.02139 | − | 3.64826i | −0.166733 | − | 0.121138i | 0.501290 | − | 0.865279i | \(-0.332859\pi\) |
−0.668023 | + | 0.744141i | \(0.732859\pi\) | |||||||
\(908\) | 11.6069 | − | 5.16773i | 0.385189 | − | 0.171497i | ||||
\(909\) | −2.93194 | − | 0.623204i | −0.0972464 | − | 0.0206704i | ||||
\(910\) | 1.08044 | + | 10.2797i | 0.0358163 | + | 0.340770i | ||||
\(911\) | 7.51196 | − | 8.34288i | 0.248882 | − | 0.276412i | −0.605739 | − | 0.795663i | \(-0.707122\pi\) |
0.854622 | + | 0.519251i | \(0.173789\pi\) | |||||||
\(912\) | −1.65932 | − | 1.84287i | −0.0549457 | − | 0.0610234i | ||||
\(913\) | 1.54236 | − | 14.6746i | 0.0510448 | − | 0.485659i | ||||
\(914\) | −0.436881 | + | 1.34458i | −0.0144507 | + | 0.0444748i | ||||
\(915\) | 1.20685 | − | 3.71431i | 0.0398973 | − | 0.122791i | ||||
\(916\) | 0.972060 | − | 9.24854i | 0.0321178 | − | 0.305580i | ||||
\(917\) | 28.9949 | + | 32.2021i | 0.957496 | + | 1.06341i | ||||
\(918\) | 5.36606 | − | 5.95962i | 0.177106 | − | 0.196697i | ||||
\(919\) | −1.52036 | − | 14.4653i | −0.0501521 | − | 0.477166i | −0.990556 | − | 0.137107i | \(-0.956220\pi\) |
0.940404 | − | 0.340059i | \(-0.110447\pi\) | |||||||
\(920\) | −2.17708 | − | 0.462753i | −0.0717762 | − | 0.0152565i | ||||
\(921\) | 8.41635 | − | 3.74720i | 0.277328 | − | 0.123474i | ||||
\(922\) | 22.9563 | + | 16.6787i | 0.756026 | + | 0.549285i | ||||
\(923\) | 31.0199 | + | 13.8110i | 1.02103 | + | 0.454593i | ||||
\(924\) | −1.30086 | − | 2.25316i | −0.0427952 | − | 0.0741234i | ||||
\(925\) | −2.48588 | + | 4.30566i | −0.0817351 | + | 0.141569i | ||||
\(926\) | 20.2967 | − | 14.7464i | 0.666992 | − | 0.484598i | ||||
\(927\) | −2.29784 | + | 0.488421i | −0.0754710 | + | 0.0160418i | ||||
\(928\) | 0.877888 | + | 2.70186i | 0.0288181 | + | 0.0886929i | ||||
\(929\) | 14.6619 | 0.481041 | 0.240521 | − | 0.970644i | \(-0.422682\pi\) | ||||
0.240521 | + | 0.970644i | \(0.422682\pi\) | |||||||
\(930\) | 3.49214 | + | 4.33647i | 0.114512 | + | 0.142198i | ||||
\(931\) | 4.36493 | 0.143055 | ||||||||
\(932\) | 1.29441 | + | 3.98378i | 0.0423997 | + | 0.130493i | ||||
\(933\) | 30.5572 | − | 6.49514i | 1.00040 | − | 0.212641i | ||||
\(934\) | −0.429708 | + | 0.312201i | −0.0140605 | + | 0.0102155i | ||||
\(935\) | −3.52468 | + | 6.10492i | −0.115269 | + | 0.199652i | ||||
\(936\) | 1.74615 | + | 3.02442i | 0.0570746 | + | 0.0988561i | ||||
\(937\) | 19.7067 | + | 8.77397i | 0.643789 | + | 0.286633i | 0.702545 | − | 0.711639i | \(-0.252047\pi\) |
−0.0587566 | + | 0.998272i | \(0.518714\pi\) | |||||||
\(938\) | −18.4121 | − | 13.3772i | −0.601177 | − | 0.436781i | ||||
\(939\) | 6.99941 | − | 3.11634i | 0.228417 | − | 0.101698i | ||||
\(940\) | 6.49917 | + | 1.38144i | 0.211980 | + | 0.0450577i | ||||
\(941\) | 2.99455 | + | 28.4912i | 0.0976194 | + | 0.928787i | 0.928248 | + | 0.371961i | \(0.121314\pi\) |
−0.830629 | + | 0.556826i | \(0.812019\pi\) | |||||||
\(942\) | −3.16562 | + | 3.51578i | −0.103142 | + | 0.114550i | ||||
\(943\) | −5.89508 | − | 6.54715i | −0.191970 | − | 0.213205i | ||||
\(944\) | 0.399864 | − | 3.80445i | 0.0130145 | − | 0.123824i | ||||
\(945\) | −0.914616 | + | 2.81490i | −0.0297525 | + | 0.0915687i | ||||
\(946\) | 0.998199 | − | 3.07214i | 0.0324543 | − | 0.0998839i | ||||
\(947\) | −0.332191 | + | 3.16059i | −0.0107948 | + | 0.102705i | −0.998593 | − | 0.0530364i | \(-0.983110\pi\) |
0.987798 | + | 0.155742i | \(0.0497767\pi\) | |||||||
\(948\) | 5.95434 | + | 6.61296i | 0.193388 | + | 0.214779i | ||||
\(949\) | 35.6337 | − | 39.5752i | 1.15672 | − | 1.28467i | ||||
\(950\) | −0.259212 | − | 2.46624i | −0.00840995 | − | 0.0800153i | ||||
\(951\) | −19.7369 | − | 4.19521i | −0.640013 | − | 0.136039i | ||||
\(952\) | 21.6836 | − | 9.65416i | 0.702770 | − | 0.312893i | ||||
\(953\) | 20.6426 | + | 14.9977i | 0.668679 | + | 0.485824i | 0.869583 | − | 0.493787i | \(-0.164388\pi\) |
−0.200904 | + | 0.979611i | \(0.564388\pi\) | |||||||
\(954\) | −9.06496 | − | 4.03598i | −0.293489 | − | 0.130670i | ||||
\(955\) | 12.0392 | + | 20.8524i | 0.389578 | + | 0.674769i | ||||
\(956\) | 1.20009 | − | 2.07862i | 0.0388138 | − | 0.0672274i | ||||
\(957\) | 2.02031 | − | 1.46784i | 0.0653075 | − | 0.0474486i | ||||
\(958\) | 10.2718 | − | 2.18334i | 0.331867 | − | 0.0705405i | ||||
\(959\) | 9.21701 | + | 28.3671i | 0.297633 | + | 0.916020i | ||||
\(960\) | 1.00000 | 0.0322749 | ||||||||
\(961\) | −6.60995 | + | 30.2871i | −0.213224 | + | 0.977003i | ||||
\(962\) | −17.3628 | −0.559800 | ||||||||
\(963\) | 2.14971 | + | 6.61612i | 0.0692734 | + | 0.213202i | ||||
\(964\) | −14.8884 | + | 3.16462i | −0.479522 | + | 0.101926i | ||||
\(965\) | −1.01052 | + | 0.734186i | −0.0325298 | + | 0.0236343i | ||||
\(966\) | 3.29380 | − | 5.70502i | 0.105976 | − | 0.183556i | ||||
\(967\) | 19.8583 | + | 34.3955i | 0.638599 | + | 1.10609i | 0.985740 | + | 0.168273i | \(0.0538189\pi\) |
−0.347142 | + | 0.937813i | \(0.612848\pi\) | |||||||
\(968\) | −9.34311 | − | 4.15982i | −0.300299 | − | 0.133702i | ||||
\(969\) | −16.0888 | − | 11.6892i | −0.516846 | − | 0.375510i | ||||
\(970\) | 6.13540 | − | 2.73166i | 0.196996 | − | 0.0877082i | ||||
\(971\) | −33.4915 | − | 7.11883i | −1.07479 | − | 0.228454i | −0.363674 | − | 0.931526i | \(-0.618478\pi\) |
−0.711118 | + | 0.703072i | \(0.751811\pi\) | |||||||
\(972\) | 0.104528 | + | 0.994522i | 0.00335275 | + | 0.0318993i | ||||
\(973\) | −21.0222 | + | 23.3475i | −0.673940 | + | 0.748486i | ||||
\(974\) | 9.39427 | + | 10.4334i | 0.301012 | + | 0.334307i | ||||
\(975\) | −0.365044 | + | 3.47316i | −0.0116908 | + | 0.111230i | ||||
\(976\) | 1.20685 | − | 3.71431i | 0.0386304 | − | 0.118892i | ||||
\(977\) | −10.8280 | + | 33.3252i | −0.346419 | + | 1.06617i | 0.614401 | + | 0.788994i | \(0.289398\pi\) |
−0.960820 | + | 0.277173i | \(0.910602\pi\) | |||||||
\(978\) | −0.262329 | + | 2.49589i | −0.00838835 | + | 0.0798098i | ||||
\(979\) | 8.59286 | + | 9.54334i | 0.274629 | + | 0.305007i | ||||
\(980\) | −1.17779 | + | 1.30807i | −0.0376231 | + | 0.0417846i | ||||
\(981\) | 0.701114 | + | 6.67065i | 0.0223848 | + | 0.212978i | ||||
\(982\) | 31.4929 | + | 6.69401i | 1.00498 | + | 0.213615i | ||||
\(983\) | −37.2035 | + | 16.5641i | −1.18661 | + | 0.528311i | −0.902587 | − | 0.430507i | \(-0.858335\pi\) |
−0.284019 | + | 0.958819i | \(0.591668\pi\) | |||||||
\(984\) | 3.20233 | + | 2.32663i | 0.102087 | + | 0.0741703i | ||||
\(985\) | −6.65508 | − | 2.96303i | −0.212049 | − | 0.0944101i | ||||
\(986\) | 11.3913 | + | 19.7302i | 0.362771 | + | 0.628339i | ||||
\(987\) | −9.83286 | + | 17.0310i | −0.312983 | + | 0.542103i | ||||
\(988\) | 7.00630 | − | 5.09038i | 0.222900 | − | 0.161946i | ||||
\(989\) | 8.00028 | − | 1.70051i | 0.254394 | − | 0.0540731i | ||||
\(990\) | −0.271636 | − | 0.836008i | −0.00863315 | − | 0.0265701i | ||||
\(991\) | −48.7166 | −1.54753 | −0.773767 | − | 0.633470i | \(-0.781630\pi\) | ||||
−0.773767 | + | 0.633470i | \(0.781630\pi\) | |||||||
\(992\) | 3.49214 | + | 4.33647i | 0.110875 | + | 0.137683i | ||||
\(993\) | 13.7090 | 0.435041 | ||||||||
\(994\) | 8.89280 | + | 27.3692i | 0.282063 | + | 0.868099i | ||||
\(995\) | 23.1628 | − | 4.92340i | 0.734309 | − | 0.156082i | ||||
\(996\) | −13.5802 | + | 9.86659i | −0.430305 | + | 0.312635i | ||||
\(997\) | 15.4584 | − | 26.7747i | 0.489573 | − | 0.847964i | −0.510356 | − | 0.859964i | \(-0.670486\pi\) |
0.999928 | + | 0.0119991i | \(0.00381951\pi\) | |||||||
\(998\) | 16.6486 | + | 28.8362i | 0.527003 | + | 0.912796i | ||||
\(999\) | −4.54192 | − | 2.02219i | −0.143700 | − | 0.0639794i |
(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 | 930.2.bg.c.751.1 | yes | 16 | |
31.9 | even | 15 | inner | 930.2.bg.c.691.1 | ✓ | 16 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
930.2.bg.c.691.1 | ✓ | 16 | 31.9 | even | 15 | inner | |
930.2.bg.c.751.1 | yes | 16 | 1.1 | even | 1 | trivial |