Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [430,2,Mod(11,430)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(430, base_ring=CyclotomicField(14))
chi = DirichletCharacter(H, H._module([0, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("430.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 430 = 2 \cdot 5 \cdot 43 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 430.k (of order \(7\), degree \(6\), 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: | \(3.43356728692\) |
Analytic rank: | \(0\) |
Dimension: | \(18\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{7})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{18} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{18} - 5 x^{17} + 20 x^{16} - 61 x^{15} + 142 x^{14} - 195 x^{13} + 244 x^{12} + 320 x^{11} + 64 x^{10} - 562 x^{9} + 4114 x^{8} - 1933 x^{7} + 2941 x^{6} - 2555 x^{5} + 2807 x^{4} + \cdots + 49 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{7}]$ |
Embedding invariants
Embedding label | 41.3 | ||
Root | \(2.65970 + 1.28085i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 430.41 |
Dual form | 430.2.k.c.21.3 |
$q$-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 \(\left(\mathbb{Z}/430\mathbb{Z}\right)^\times\).
\(n\) | \(87\) | \(261\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{7}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.900969 | − | 0.433884i | 0.637081 | − | 0.306802i | ||||
\(3\) | 2.65970 | + | 1.28085i | 1.53558 | + | 0.739497i | 0.994817 | − | 0.101678i | \(-0.0324210\pi\) |
0.540764 | + | 0.841174i | \(0.318135\pi\) | |||||||
\(4\) | 0.623490 | − | 0.781831i | 0.311745 | − | 0.390916i | ||||
\(5\) | −0.222521 | + | 0.974928i | −0.0995144 | + | 0.436001i | ||||
\(6\) | 2.95205 | 1.20517 | ||||||||
\(7\) | −1.54255 | −0.583031 | −0.291515 | − | 0.956566i | \(-0.594159\pi\) | ||||
−0.291515 | + | 0.956566i | \(0.594159\pi\) | |||||||
\(8\) | 0.222521 | − | 0.974928i | 0.0786730 | − | 0.344689i | ||||
\(9\) | 3.56299 | + | 4.46785i | 1.18766 | + | 1.48928i | ||||
\(10\) | 0.222521 | + | 0.974928i | 0.0703673 | + | 0.308299i | ||||
\(11\) | −1.13643 | − | 1.42504i | −0.342648 | − | 0.429667i | 0.580412 | − | 0.814323i | \(-0.302891\pi\) |
−0.923060 | + | 0.384656i | \(0.874320\pi\) | |||||||
\(12\) | 2.65970 | − | 1.28085i | 0.767791 | − | 0.369748i | ||||
\(13\) | 0.551863 | − | 2.41787i | 0.153059 | − | 0.670596i | −0.838926 | − | 0.544245i | \(-0.816816\pi\) |
0.991986 | − | 0.126351i | \(-0.0403266\pi\) | |||||||
\(14\) | −1.38979 | + | 0.669290i | −0.371438 | + | 0.178875i | ||||
\(15\) | −1.84057 | + | 2.30801i | −0.475234 | + | 0.595924i | ||||
\(16\) | −0.222521 | − | 0.974928i | −0.0556302 | − | 0.243732i | ||||
\(17\) | 1.45386 | + | 6.36977i | 0.352613 | + | 1.54490i | 0.771124 | + | 0.636685i | \(0.219695\pi\) |
−0.418511 | + | 0.908212i | \(0.637448\pi\) | |||||||
\(18\) | 5.14867 | + | 2.47947i | 1.21355 | + | 0.584417i | ||||
\(19\) | 2.73339 | − | 3.42756i | 0.627082 | − | 0.786336i | −0.362239 | − | 0.932085i | \(-0.617988\pi\) |
0.989322 | + | 0.145749i | \(0.0465591\pi\) | |||||||
\(20\) | 0.623490 | + | 0.781831i | 0.139417 | + | 0.174823i | ||||
\(21\) | −4.10274 | − | 1.97578i | −0.895291 | − | 0.431150i | ||||
\(22\) | −1.64219 | − | 0.790839i | −0.350117 | − | 0.168607i | ||||
\(23\) | −3.74496 | − | 4.69603i | −0.780879 | − | 0.979191i | −0.999994 | − | 0.00349174i | \(-0.998889\pi\) |
0.219115 | − | 0.975699i | \(-0.429683\pi\) | |||||||
\(24\) | 1.84057 | − | 2.30801i | 0.375705 | − | 0.471120i | ||||
\(25\) | −0.900969 | − | 0.433884i | −0.180194 | − | 0.0867767i | ||||
\(26\) | −0.551863 | − | 2.41787i | −0.108229 | − | 0.474183i | ||||
\(27\) | 1.78320 | + | 7.81270i | 0.343177 | + | 1.50356i | ||||
\(28\) | −0.961767 | + | 1.20602i | −0.181757 | + | 0.227916i | ||||
\(29\) | −5.05557 | + | 2.43463i | −0.938795 | + | 0.452100i | −0.839744 | − | 0.542982i | \(-0.817295\pi\) |
−0.0990513 | + | 0.995082i | \(0.531581\pi\) | |||||||
\(30\) | −0.656893 | + | 2.87804i | −0.119932 | + | 0.525455i | ||||
\(31\) | −1.25367 | + | 0.603735i | −0.225166 | + | 0.108434i | −0.543066 | − | 0.839690i | \(-0.682737\pi\) |
0.317900 | + | 0.948124i | \(0.397022\pi\) | |||||||
\(32\) | −0.623490 | − | 0.781831i | −0.110218 | − | 0.138210i | ||||
\(33\) | −1.19732 | − | 5.24579i | −0.208426 | − | 0.913175i | ||||
\(34\) | 4.07362 | + | 5.10816i | 0.698621 | + | 0.876042i | ||||
\(35\) | 0.343251 | − | 1.50388i | 0.0580200 | − | 0.254202i | ||||
\(36\) | 5.71460 | 0.952433 | ||||||||
\(37\) | −3.65770 | −0.601321 | −0.300661 | − | 0.953731i | \(-0.597207\pi\) | ||||
−0.300661 | + | 0.953731i | \(0.597207\pi\) | |||||||
\(38\) | 0.975535 | − | 4.27410i | 0.158253 | − | 0.693350i | ||||
\(39\) | 4.56471 | − | 5.72396i | 0.730938 | − | 0.916568i | ||||
\(40\) | 0.900969 | + | 0.433884i | 0.142456 | + | 0.0686030i | ||||
\(41\) | 3.63849 | − | 1.75220i | 0.568237 | − | 0.273648i | −0.127627 | − | 0.991822i | \(-0.540736\pi\) |
0.695864 | + | 0.718174i | \(0.255022\pi\) | |||||||
\(42\) | −4.55370 | −0.702651 | ||||||||
\(43\) | −6.06228 | − | 2.49976i | −0.924488 | − | 0.381210i | ||||
\(44\) | −1.82270 | −0.274782 | ||||||||
\(45\) | −5.14867 | + | 2.47947i | −0.767519 | + | 0.369618i | ||||
\(46\) | −5.41163 | − | 2.60610i | −0.797901 | − | 0.384249i | ||||
\(47\) | 0.117135 | − | 0.146883i | 0.0170859 | − | 0.0214251i | −0.773215 | − | 0.634144i | \(-0.781353\pi\) |
0.790301 | + | 0.612719i | \(0.209924\pi\) | |||||||
\(48\) | 0.656893 | − | 2.87804i | 0.0948143 | − | 0.415409i | ||||
\(49\) | −4.62052 | −0.660075 | ||||||||
\(50\) | −1.00000 | −0.141421 | ||||||||
\(51\) | −4.29186 | + | 18.8039i | −0.600981 | + | 2.63307i | ||||
\(52\) | −1.54628 | − | 1.93898i | −0.214431 | − | 0.268888i | ||||
\(53\) | −1.91781 | − | 8.40249i | −0.263432 | − | 1.15417i | −0.917500 | − | 0.397735i | \(-0.869796\pi\) |
0.654068 | − | 0.756436i | \(-0.273061\pi\) | |||||||
\(54\) | 4.99641 | + | 6.26530i | 0.679926 | + | 0.852600i | ||||
\(55\) | 1.64219 | − | 0.790839i | 0.221433 | − | 0.106637i | ||||
\(56\) | −0.343251 | + | 1.50388i | −0.0458688 | + | 0.200964i | ||||
\(57\) | 11.6602 | − | 5.61525i | 1.54443 | − | 0.743758i | ||||
\(58\) | −3.49856 | + | 4.38706i | −0.459384 | + | 0.576049i | ||||
\(59\) | 1.78323 | + | 7.81284i | 0.232157 | + | 1.01715i | 0.947847 | + | 0.318727i | \(0.103255\pi\) |
−0.715690 | + | 0.698418i | \(0.753888\pi\) | |||||||
\(60\) | 0.656893 | + | 2.87804i | 0.0848045 | + | 0.371553i | ||||
\(61\) | 4.46338 | + | 2.14945i | 0.571478 | + | 0.275209i | 0.697224 | − | 0.716853i | \(-0.254418\pi\) |
−0.125746 | + | 0.992062i | \(0.540133\pi\) | |||||||
\(62\) | −0.867566 | + | 1.08789i | −0.110181 | + | 0.138163i | ||||
\(63\) | −5.49611 | − | 6.89191i | −0.692445 | − | 0.868299i | ||||
\(64\) | −0.900969 | − | 0.433884i | −0.112621 | − | 0.0542355i | ||||
\(65\) | 2.23445 | + | 1.07605i | 0.277149 | + | 0.133468i | ||||
\(66\) | −3.35481 | − | 4.20680i | −0.412948 | − | 0.517821i | ||||
\(67\) | −1.04815 | + | 1.31434i | −0.128052 | + | 0.160572i | −0.841724 | − | 0.539908i | \(-0.818459\pi\) |
0.713673 | + | 0.700480i | \(0.247030\pi\) | |||||||
\(68\) | 5.88656 | + | 2.83482i | 0.713850 | + | 0.343772i | ||||
\(69\) | −3.94560 | − | 17.2868i | −0.474994 | − | 2.08108i | ||||
\(70\) | −0.343251 | − | 1.50388i | −0.0410263 | − | 0.179748i | ||||
\(71\) | 5.86045 | − | 7.34878i | 0.695508 | − | 0.872139i | −0.301171 | − | 0.953570i | \(-0.597378\pi\) |
0.996679 | + | 0.0814307i | \(0.0259489\pi\) | |||||||
\(72\) | 5.14867 | − | 2.47947i | 0.606777 | − | 0.292208i | ||||
\(73\) | 1.41507 | − | 6.19982i | 0.165621 | − | 0.725635i | −0.822092 | − | 0.569355i | \(-0.807193\pi\) |
0.987713 | − | 0.156279i | \(-0.0499500\pi\) | |||||||
\(74\) | −3.29547 | + | 1.58701i | −0.383091 | + | 0.184487i | ||||
\(75\) | −1.84057 | − | 2.30801i | −0.212531 | − | 0.266505i | ||||
\(76\) | −0.975535 | − | 4.27410i | −0.111902 | − | 0.490273i | ||||
\(77\) | 1.75301 | + | 2.19821i | 0.199774 | + | 0.250509i | ||||
\(78\) | 1.62913 | − | 7.13767i | 0.184462 | − | 0.808181i | ||||
\(79\) | 14.3781 | 1.61766 | 0.808831 | − | 0.588042i | \(-0.200101\pi\) | ||||
0.808831 | + | 0.588042i | \(0.200101\pi\) | |||||||
\(80\) | 1.00000 | 0.111803 | ||||||||
\(81\) | −1.44924 | + | 6.34953i | −0.161027 | + | 0.705504i | ||||
\(82\) | 2.51791 | − | 3.15736i | 0.278057 | − | 0.348672i | ||||
\(83\) | 14.4048 | + | 6.93698i | 1.58113 | + | 0.761433i | 0.998677 | − | 0.0514305i | \(-0.0163781\pi\) |
0.582455 | + | 0.812863i | \(0.302092\pi\) | |||||||
\(84\) | −4.10274 | + | 1.97578i | −0.447646 | + | 0.215575i | ||||
\(85\) | −6.53358 | −0.708667 | ||||||||
\(86\) | −6.54653 | + | 0.378113i | −0.705930 | + | 0.0407730i | ||||
\(87\) | −16.5647 | −1.77592 | ||||||||
\(88\) | −1.64219 | + | 0.790839i | −0.175059 | + | 0.0843037i | ||||
\(89\) | −1.93700 | − | 0.932811i | −0.205322 | − | 0.0988777i | 0.328397 | − | 0.944540i | \(-0.393492\pi\) |
−0.533719 | + | 0.845662i | \(0.679206\pi\) | |||||||
\(90\) | −3.56299 | + | 4.46785i | −0.375572 | + | 0.470953i | ||||
\(91\) | −0.851278 | + | 3.72969i | −0.0892382 | + | 0.390978i | ||||
\(92\) | −6.00645 | −0.626216 | ||||||||
\(93\) | −4.10768 | −0.425947 | ||||||||
\(94\) | 0.0418051 | − | 0.183160i | 0.00431186 | − | 0.0188915i | ||||
\(95\) | 2.73339 | + | 3.42756i | 0.280440 | + | 0.351660i | ||||
\(96\) | −0.656893 | − | 2.87804i | −0.0670438 | − | 0.293738i | ||||
\(97\) | −0.385802 | − | 0.483781i | −0.0391723 | − | 0.0491205i | 0.761859 | − | 0.647742i | \(-0.224287\pi\) |
−0.801032 | + | 0.598622i | \(0.795715\pi\) | |||||||
\(98\) | −4.16295 | + | 2.00477i | −0.420521 | + | 0.202512i | ||||
\(99\) | 2.31777 | − | 10.1548i | 0.232945 | − | 1.02060i | ||||
\(100\) | −0.900969 | + | 0.433884i | −0.0900969 | + | 0.0433884i | ||||
\(101\) | −12.0108 | + | 15.0611i | −1.19512 | + | 1.49864i | −0.374442 | + | 0.927250i | \(0.622166\pi\) |
−0.820681 | + | 0.571387i | \(0.806406\pi\) | |||||||
\(102\) | 4.29186 | + | 18.8039i | 0.424958 | + | 1.86186i | ||||
\(103\) | 2.49654 | + | 10.9381i | 0.245991 | + | 1.07776i | 0.935457 | + | 0.353440i | \(0.114988\pi\) |
−0.689466 | + | 0.724318i | \(0.742155\pi\) | |||||||
\(104\) | −2.23445 | − | 1.07605i | −0.219105 | − | 0.105516i | ||||
\(105\) | 2.83918 | − | 3.56023i | 0.277076 | − | 0.347442i | ||||
\(106\) | −5.37359 | − | 6.73827i | −0.521930 | − | 0.654479i | ||||
\(107\) | −11.5309 | − | 5.55299i | −1.11473 | − | 0.536827i | −0.216472 | − | 0.976289i | \(-0.569455\pi\) |
−0.898261 | + | 0.439461i | \(0.855169\pi\) | |||||||
\(108\) | 7.22002 | + | 3.47698i | 0.694747 | + | 0.334573i | ||||
\(109\) | −4.41420 | − | 5.53523i | −0.422804 | − | 0.530179i | 0.524117 | − | 0.851646i | \(-0.324395\pi\) |
−0.946921 | + | 0.321467i | \(0.895824\pi\) | |||||||
\(110\) | 1.13643 | − | 1.42504i | 0.108355 | − | 0.135873i | ||||
\(111\) | −9.72839 | − | 4.68495i | −0.923378 | − | 0.444675i | ||||
\(112\) | 0.343251 | + | 1.50388i | 0.0324341 | + | 0.142103i | ||||
\(113\) | 3.89435 | + | 17.0623i | 0.366350 | + | 1.60508i | 0.736719 | + | 0.676199i | \(0.236374\pi\) |
−0.370369 | + | 0.928885i | \(0.620769\pi\) | |||||||
\(114\) | 8.06910 | − | 10.1183i | 0.755740 | − | 0.947668i | ||||
\(115\) | 5.41163 | − | 2.60610i | 0.504637 | − | 0.243020i | ||||
\(116\) | −1.24862 | + | 5.47057i | −0.115932 | + | 0.507930i | ||||
\(117\) | 12.7690 | − | 6.14921i | 1.18049 | − | 0.568494i | ||||
\(118\) | 4.99650 | + | 6.26541i | 0.459965 | + | 0.576778i | ||||
\(119\) | −2.24266 | − | 9.82572i | −0.205584 | − | 0.900723i | ||||
\(120\) | 1.84057 | + | 2.30801i | 0.168021 | + | 0.210691i | ||||
\(121\) | 1.70846 | − | 7.48527i | 0.155315 | − | 0.680479i | ||||
\(122\) | 4.95398 | 0.448512 | ||||||||
\(123\) | 11.9216 | 1.07494 | ||||||||
\(124\) | −0.309631 | + | 1.35658i | −0.0278057 | + | 0.121825i | ||||
\(125\) | 0.623490 | − | 0.781831i | 0.0557666 | − | 0.0699291i | ||||
\(126\) | −7.94211 | − | 3.82472i | −0.707540 | − | 0.340733i | ||||
\(127\) | −8.78671 | + | 4.23146i | −0.779695 | + | 0.375481i | −0.781010 | − | 0.624518i | \(-0.785295\pi\) |
0.00131578 | + | 0.999999i | \(0.499581\pi\) | |||||||
\(128\) | −1.00000 | −0.0883883 | ||||||||
\(129\) | −12.9220 | − | 14.4135i | −1.13772 | − | 1.26904i | ||||
\(130\) | 2.48005 | 0.217515 | ||||||||
\(131\) | 6.50922 | − | 3.13467i | 0.568713 | − | 0.273878i | −0.127351 | − | 0.991858i | \(-0.540647\pi\) |
0.696064 | + | 0.717980i | \(0.254933\pi\) | |||||||
\(132\) | −4.84784 | − | 2.33460i | −0.421950 | − | 0.203201i | ||||
\(133\) | −4.21640 | + | 5.28720i | −0.365608 | + | 0.458459i | ||||
\(134\) | −0.374080 | + | 1.63895i | −0.0323155 | + | 0.141584i | ||||
\(135\) | −8.01362 | −0.689703 | ||||||||
\(136\) | 6.53358 | 0.560250 | ||||||||
\(137\) | −5.00089 | + | 21.9103i | −0.427255 | + | 1.87193i | 0.0592397 | + | 0.998244i | \(0.481132\pi\) |
−0.486495 | + | 0.873683i | \(0.661725\pi\) | |||||||
\(138\) | −11.0553 | − | 13.8629i | −0.941091 | − | 1.18009i | ||||
\(139\) | 1.65940 | + | 7.27031i | 0.140749 | + | 0.616660i | 0.995262 | + | 0.0972304i | \(0.0309984\pi\) |
−0.854513 | + | 0.519430i | \(0.826144\pi\) | |||||||
\(140\) | −0.961767 | − | 1.20602i | −0.0812842 | − | 0.101927i | ||||
\(141\) | 0.499679 | − | 0.240633i | 0.0420806 | − | 0.0202649i | ||||
\(142\) | 2.09157 | − | 9.16378i | 0.175521 | − | 0.769007i | ||||
\(143\) | −4.07272 | + | 1.96132i | −0.340578 | + | 0.164014i | ||||
\(144\) | 3.56299 | − | 4.46785i | 0.296916 | − | 0.372321i | ||||
\(145\) | −1.24862 | − | 5.47057i | −0.103692 | − | 0.454306i | ||||
\(146\) | −1.41507 | − | 6.19982i | −0.117112 | − | 0.513101i | ||||
\(147\) | −12.2892 | − | 5.91818i | −1.01360 | − | 0.488123i | ||||
\(148\) | −2.28054 | + | 2.85970i | −0.187459 | + | 0.235066i | ||||
\(149\) | 0.777610 | + | 0.975092i | 0.0637043 | + | 0.0798827i | 0.812663 | − | 0.582734i | \(-0.198017\pi\) |
−0.748958 | + | 0.662617i | \(0.769446\pi\) | |||||||
\(150\) | −2.65970 | − | 1.28085i | −0.217164 | − | 0.104581i | ||||
\(151\) | 4.86398 | + | 2.34237i | 0.395825 | + | 0.190619i | 0.621199 | − | 0.783653i | \(-0.286646\pi\) |
−0.225374 | + | 0.974272i | \(0.572360\pi\) | |||||||
\(152\) | −2.73339 | − | 3.42756i | −0.221707 | − | 0.278012i | ||||
\(153\) | −23.2791 | + | 29.1911i | −1.88200 | + | 2.35996i | ||||
\(154\) | 2.53318 | + | 1.21991i | 0.204129 | + | 0.0983034i | ||||
\(155\) | −0.309631 | − | 1.35658i | −0.0248701 | − | 0.108963i | ||||
\(156\) | −1.62913 | − | 7.13767i | −0.130434 | − | 0.571471i | ||||
\(157\) | −14.0114 | + | 17.5697i | −1.11823 | + | 1.40222i | −0.213130 | + | 0.977024i | \(0.568366\pi\) |
−0.905102 | + | 0.425195i | \(0.860206\pi\) | |||||||
\(158\) | 12.9542 | − | 6.23842i | 1.03058 | − | 0.496302i | ||||
\(159\) | 5.66148 | − | 24.8046i | 0.448985 | − | 1.96713i | ||||
\(160\) | 0.900969 | − | 0.433884i | 0.0712278 | − | 0.0343015i | ||||
\(161\) | 5.77681 | + | 7.24389i | 0.455276 | + | 0.570899i | ||||
\(162\) | 1.44924 | + | 6.34953i | 0.113863 | + | 0.498866i | ||||
\(163\) | −8.03797 | − | 10.0793i | −0.629583 | − | 0.789472i | 0.360075 | − | 0.932924i | \(-0.382751\pi\) |
−0.989657 | + | 0.143452i | \(0.954180\pi\) | |||||||
\(164\) | 0.898633 | − | 3.93717i | 0.0701714 | − | 0.307441i | ||||
\(165\) | 5.38070 | 0.418887 | ||||||||
\(166\) | 15.9881 | 1.24092 | ||||||||
\(167\) | −3.21202 | + | 14.0728i | −0.248554 | + | 1.08899i | 0.684433 | + | 0.729075i | \(0.260050\pi\) |
−0.932987 | + | 0.359910i | \(0.882807\pi\) | |||||||
\(168\) | −2.83918 | + | 3.56023i | −0.219048 | + | 0.274677i | ||||
\(169\) | 6.17106 | + | 2.97183i | 0.474697 | + | 0.228602i | ||||
\(170\) | −5.88656 | + | 2.83482i | −0.451478 | + | 0.217420i | ||||
\(171\) | 25.0529 | 1.91584 | ||||||||
\(172\) | −5.73416 | + | 3.18110i | −0.437226 | + | 0.242557i | ||||
\(173\) | 20.1185 | 1.52958 | 0.764791 | − | 0.644279i | \(-0.222842\pi\) | ||||
0.764791 | + | 0.644279i | \(0.222842\pi\) | |||||||
\(174\) | −14.9243 | + | 7.18716i | −1.13141 | + | 0.544857i | ||||
\(175\) | 1.38979 | + | 0.669290i | 0.105059 | + | 0.0505935i | ||||
\(176\) | −1.13643 | + | 1.42504i | −0.0856619 | + | 0.107417i | ||||
\(177\) | −5.26418 | + | 23.0639i | −0.395680 | + | 1.73359i | ||||
\(178\) | −2.14991 | −0.161143 | ||||||||
\(179\) | 20.4122 | 1.52568 | 0.762841 | − | 0.646586i | \(-0.223804\pi\) | ||||
0.762841 | + | 0.646586i | \(0.223804\pi\) | |||||||
\(180\) | −1.27162 | + | 5.57132i | −0.0947808 | + | 0.415262i | ||||
\(181\) | −11.8928 | − | 14.9131i | −0.883985 | − | 1.10848i | −0.993425 | − | 0.114488i | \(-0.963477\pi\) |
0.109440 | − | 0.993993i | \(-0.465094\pi\) | |||||||
\(182\) | 0.851278 | + | 3.72969i | 0.0631009 | + | 0.276463i | ||||
\(183\) | 9.11816 | + | 11.4338i | 0.674034 | + | 0.845212i | ||||
\(184\) | −5.41163 | + | 2.60610i | −0.398950 | + | 0.192124i | ||||
\(185\) | 0.813914 | − | 3.56599i | 0.0598401 | − | 0.262177i | ||||
\(186\) | −3.70089 | + | 1.78226i | −0.271363 | + | 0.130681i | ||||
\(187\) | 7.42498 | − | 9.31064i | 0.542969 | − | 0.680861i | ||||
\(188\) | −0.0418051 | − | 0.183160i | −0.00304895 | − | 0.0133583i | ||||
\(189\) | −2.75068 | − | 12.0515i | −0.200083 | − | 0.876620i | ||||
\(190\) | 3.94986 | + | 1.90215i | 0.286553 | + | 0.137997i | ||||
\(191\) | 4.10046 | − | 5.14181i | 0.296699 | − | 0.372048i | −0.611029 | − | 0.791608i | \(-0.709244\pi\) |
0.907728 | + | 0.419560i | \(0.137816\pi\) | |||||||
\(192\) | −1.84057 | − | 2.30801i | −0.132832 | − | 0.166566i | ||||
\(193\) | −14.3825 | − | 6.92625i | −1.03528 | − | 0.498563i | −0.162513 | − | 0.986706i | \(-0.551960\pi\) |
−0.872763 | + | 0.488144i | \(0.837674\pi\) | |||||||
\(194\) | −0.557500 | − | 0.268478i | −0.0400262 | − | 0.0192756i | ||||
\(195\) | 4.56471 | + | 5.72396i | 0.326886 | + | 0.409902i | ||||
\(196\) | −2.88085 | + | 3.61247i | −0.205775 | + | 0.258034i | ||||
\(197\) | 20.9160 | + | 10.0726i | 1.49020 | + | 0.717643i | 0.989031 | − | 0.147705i | \(-0.0471887\pi\) |
0.501170 | + | 0.865349i | \(0.332903\pi\) | |||||||
\(198\) | −2.31777 | − | 10.1548i | −0.164717 | − | 0.721673i | ||||
\(199\) | −3.26166 | − | 14.2903i | −0.231213 | − | 1.01301i | −0.948635 | − | 0.316373i | \(-0.897535\pi\) |
0.717422 | − | 0.696639i | \(-0.245322\pi\) | |||||||
\(200\) | −0.623490 | + | 0.781831i | −0.0440874 | + | 0.0552838i | ||||
\(201\) | −4.47122 | + | 2.15323i | −0.315376 | + | 0.151877i | ||||
\(202\) | −4.28662 | + | 18.7809i | −0.301605 | + | 1.32142i | ||||
\(203\) | 7.79849 | − | 3.75556i | 0.547347 | − | 0.263588i | ||||
\(204\) | 12.0255 | + | 15.0795i | 0.841956 | + | 1.05578i | ||||
\(205\) | 0.898633 | + | 3.93717i | 0.0627632 | + | 0.274984i | ||||
\(206\) | 6.99515 | + | 8.77164i | 0.487375 | + | 0.611149i | ||||
\(207\) | 7.63791 | − | 33.4639i | 0.530871 | − | 2.32590i | ||||
\(208\) | −2.48005 | −0.171960 | ||||||||
\(209\) | −7.99074 | −0.552731 | ||||||||
\(210\) | 1.01329 | − | 4.43953i | 0.0699239 | − | 0.306357i | ||||
\(211\) | −0.128252 | + | 0.160823i | −0.00882925 | + | 0.0110715i | −0.786227 | − | 0.617938i | \(-0.787968\pi\) |
0.777397 | + | 0.629010i | \(0.216540\pi\) | |||||||
\(212\) | −7.76507 | − | 3.73946i | −0.533307 | − | 0.256827i | ||||
\(213\) | 24.9997 | − | 12.0392i | 1.71295 | − | 0.824915i | ||||
\(214\) | −12.7983 | −0.874876 | ||||||||
\(215\) | 3.78607 | − | 5.35403i | 0.258208 | − | 0.365142i | ||||
\(216\) | 8.01362 | 0.545258 | ||||||||
\(217\) | 1.93385 | − | 0.931295i | 0.131279 | − | 0.0632204i | ||||
\(218\) | −6.37870 | − | 3.07182i | −0.432020 | − | 0.208050i | ||||
\(219\) | 11.7047 | − | 14.6772i | 0.790930 | − | 0.991794i | ||||
\(220\) | 0.405589 | − | 1.77700i | 0.0273448 | − | 0.119805i | ||||
\(221\) | 16.2036 | 1.08997 | ||||||||
\(222\) | −10.7977 | −0.724694 | ||||||||
\(223\) | 3.62285 | − | 15.8728i | 0.242604 | − | 1.06292i | −0.696032 | − | 0.718010i | \(-0.745053\pi\) |
0.938637 | − | 0.344908i | \(-0.112090\pi\) | |||||||
\(224\) | 0.961767 | + | 1.20602i | 0.0642608 | + | 0.0805805i | ||||
\(225\) | −1.27162 | − | 5.57132i | −0.0847745 | − | 0.371421i | ||||
\(226\) | 10.9117 | + | 13.6829i | 0.725838 | + | 0.910172i | ||||
\(227\) | −8.51460 | + | 4.10042i | −0.565134 | + | 0.272154i | −0.694560 | − | 0.719435i | \(-0.744401\pi\) |
0.129426 | + | 0.991589i | \(0.458687\pi\) | |||||||
\(228\) | 2.87983 | − | 12.6174i | 0.190721 | − | 0.835604i | ||||
\(229\) | 4.42730 | − | 2.13208i | 0.292564 | − | 0.140892i | −0.281844 | − | 0.959460i | \(-0.590946\pi\) |
0.574409 | + | 0.818568i | \(0.305232\pi\) | |||||||
\(230\) | 3.74496 | − | 4.69603i | 0.246935 | − | 0.309647i | ||||
\(231\) | 1.84693 | + | 8.09192i | 0.121519 | + | 0.532409i | ||||
\(232\) | 1.24862 | + | 5.47057i | 0.0819761 | + | 0.359161i | ||||
\(233\) | 13.4972 | + | 6.49991i | 0.884231 | + | 0.425823i | 0.820168 | − | 0.572123i | \(-0.193880\pi\) |
0.0640627 | + | 0.997946i | \(0.479594\pi\) | |||||||
\(234\) | 8.83639 | − | 11.0805i | 0.577653 | − | 0.724354i | ||||
\(235\) | 0.117135 | + | 0.146883i | 0.00764106 | + | 0.00958158i | ||||
\(236\) | 7.22015 | + | 3.47704i | 0.469992 | + | 0.226336i | ||||
\(237\) | 38.2415 | + | 18.4161i | 2.48405 | + | 1.19626i | ||||
\(238\) | −6.28379 | − | 7.87962i | −0.407317 | − | 0.510760i | ||||
\(239\) | 5.91817 | − | 7.42116i | 0.382815 | − | 0.480035i | −0.552671 | − | 0.833400i | \(-0.686391\pi\) |
0.935485 | + | 0.353365i | \(0.114963\pi\) | |||||||
\(240\) | 2.65970 | + | 1.28085i | 0.171683 | + | 0.0826783i | ||||
\(241\) | 5.89414 | + | 25.8239i | 0.379675 | + | 1.66346i | 0.698469 | + | 0.715640i | \(0.253865\pi\) |
−0.318794 | + | 0.947824i | \(0.603278\pi\) | |||||||
\(242\) | −1.70846 | − | 7.48527i | −0.109824 | − | 0.481172i | ||||
\(243\) | 3.00191 | − | 3.76428i | 0.192573 | − | 0.241479i | ||||
\(244\) | 4.46338 | − | 2.14945i | 0.285739 | − | 0.137605i | ||||
\(245\) | 1.02816 | − | 4.50468i | 0.0656869 | − | 0.287793i | ||||
\(246\) | 10.7410 | − | 5.17259i | 0.684821 | − | 0.329793i | ||||
\(247\) | −6.77893 | − | 8.50052i | −0.431333 | − | 0.540875i | ||||
\(248\) | 0.309631 | + | 1.35658i | 0.0196616 | + | 0.0861430i | ||||
\(249\) | 29.4273 | + | 36.9006i | 1.86488 | + | 2.33848i | ||||
\(250\) | 0.222521 | − | 0.974928i | 0.0140735 | − | 0.0616599i | ||||
\(251\) | 10.1670 | 0.641736 | 0.320868 | − | 0.947124i | \(-0.396025\pi\) | ||||
0.320868 | + | 0.947124i | \(0.396025\pi\) | |||||||
\(252\) | −8.81508 | −0.555298 | ||||||||
\(253\) | −2.43615 | + | 10.6735i | −0.153159 | + | 0.671035i | ||||
\(254\) | −6.08059 | + | 7.62482i | −0.381530 | + | 0.478424i | ||||
\(255\) | −17.3774 | − | 8.36852i | −1.08822 | − | 0.524057i | ||||
\(256\) | −0.900969 | + | 0.433884i | −0.0563106 | + | 0.0271177i | ||||
\(257\) | 4.30962 | 0.268827 | 0.134413 | − | 0.990925i | \(-0.457085\pi\) | ||||
0.134413 | + | 0.990925i | \(0.457085\pi\) | |||||||
\(258\) | −17.8961 | − | 7.37943i | −1.11416 | − | 0.459423i | ||||
\(259\) | 5.64220 | 0.350589 | ||||||||
\(260\) | 2.23445 | − | 1.07605i | 0.138574 | − | 0.0667339i | ||||
\(261\) | −28.8905 | − | 13.9129i | −1.78828 | − | 0.861190i | ||||
\(262\) | 4.50452 | − | 5.64849i | 0.278290 | − | 0.348965i | ||||
\(263\) | −3.62532 | + | 15.8836i | −0.223547 | + | 0.979423i | 0.731237 | + | 0.682123i | \(0.238943\pi\) |
−0.954784 | + | 0.297300i | \(0.903914\pi\) | |||||||
\(264\) | −5.38070 | −0.331159 | ||||||||
\(265\) | 8.61858 | 0.529435 | ||||||||
\(266\) | −1.50482 | + | 6.59303i | −0.0922662 | + | 0.404245i | ||||
\(267\) | −3.95706 | − | 4.96200i | −0.242168 | − | 0.303670i | ||||
\(268\) | 0.374080 | + | 1.63895i | 0.0228505 | + | 0.100115i | ||||
\(269\) | −13.0665 | − | 16.3849i | −0.796678 | − | 0.999002i | −0.999803 | − | 0.0198493i | \(-0.993681\pi\) |
0.203125 | − | 0.979153i | \(-0.434890\pi\) | |||||||
\(270\) | −7.22002 | + | 3.47698i | −0.439397 | + | 0.211602i | ||||
\(271\) | 5.60558 | − | 24.5596i | 0.340514 | − | 1.49189i | −0.457476 | − | 0.889222i | \(-0.651247\pi\) |
0.797991 | − | 0.602670i | \(-0.205896\pi\) | |||||||
\(272\) | 5.88656 | − | 2.83482i | 0.356925 | − | 0.171886i | ||||
\(273\) | −7.04131 | + | 8.82953i | −0.426160 | + | 0.534387i | ||||
\(274\) | 5.00089 | + | 21.9103i | 0.302115 | + | 1.32365i | ||||
\(275\) | 0.405589 | + | 1.77700i | 0.0244579 | + | 0.107157i | ||||
\(276\) | −15.9754 | − | 7.69334i | −0.961605 | − | 0.463085i | ||||
\(277\) | 0.576619 | − | 0.723058i | 0.0346457 | − | 0.0434443i | −0.764207 | − | 0.644971i | \(-0.776869\pi\) |
0.798853 | + | 0.601527i | \(0.205441\pi\) | |||||||
\(278\) | 4.64954 | + | 5.83034i | 0.278861 | + | 0.349680i | ||||
\(279\) | −7.16421 | − | 3.45010i | −0.428910 | − | 0.206552i | ||||
\(280\) | −1.38979 | − | 0.669290i | −0.0830561 | − | 0.0399977i | ||||
\(281\) | −8.00387 | − | 10.0365i | −0.477471 | − | 0.598729i | 0.483512 | − | 0.875338i | \(-0.339361\pi\) |
−0.960983 | + | 0.276608i | \(0.910789\pi\) | |||||||
\(282\) | 0.345789 | − | 0.433605i | 0.0205914 | − | 0.0258208i | ||||
\(283\) | 4.33107 | + | 2.08573i | 0.257455 | + | 0.123984i | 0.558160 | − | 0.829733i | \(-0.311508\pi\) |
−0.300705 | + | 0.953717i | \(0.597222\pi\) | |||||||
\(284\) | −2.09157 | − | 9.16378i | −0.124112 | − | 0.543770i | ||||
\(285\) | 2.87983 | + | 12.6174i | 0.170586 | + | 0.747387i | ||||
\(286\) | −2.81841 | + | 3.53417i | −0.166656 | + | 0.208980i | ||||
\(287\) | −5.61257 | + | 2.70287i | −0.331300 | + | 0.159545i | ||||
\(288\) | 1.27162 | − | 5.57132i | 0.0749308 | − | 0.328293i | ||||
\(289\) | −23.1438 | + | 11.1455i | −1.36140 | + | 0.655617i | ||||
\(290\) | −3.49856 | − | 4.38706i | −0.205443 | − | 0.257617i | ||||
\(291\) | −0.406471 | − | 1.78087i | −0.0238278 | − | 0.104396i | ||||
\(292\) | −3.96494 | − | 4.97187i | −0.232030 | − | 0.290957i | ||||
\(293\) | −4.17421 | + | 18.2884i | −0.243860 | + | 1.06842i | 0.693610 | + | 0.720351i | \(0.256019\pi\) |
−0.937469 | + | 0.348068i | \(0.886838\pi\) | |||||||
\(294\) | −13.6400 | −0.795502 | ||||||||
\(295\) | −8.01376 | −0.466579 | ||||||||
\(296\) | −0.813914 | + | 3.56599i | −0.0473078 | + | 0.207269i | ||||
\(297\) | 9.10695 | − | 11.4198i | 0.528439 | − | 0.662641i | ||||
\(298\) | 1.12368 | + | 0.541135i | 0.0650930 | + | 0.0313471i | ||||
\(299\) | −13.4211 | + | 6.46326i | −0.776162 | + | 0.373780i | ||||
\(300\) | −2.95205 | −0.170437 | ||||||||
\(301\) | 9.35139 | + | 3.85602i | 0.539005 | + | 0.222257i | ||||
\(302\) | 5.39861 | 0.310655 | ||||||||
\(303\) | −51.2363 | + | 24.6741i | −2.94345 | + | 1.41749i | ||||
\(304\) | −3.94986 | − | 1.90215i | −0.226540 | − | 0.109096i | ||||
\(305\) | −3.08876 | + | 3.87318i | −0.176862 | + | 0.221778i | ||||
\(306\) | −8.30822 | + | 36.4007i | −0.474949 | + | 2.08089i | ||||
\(307\) | 20.3525 | 1.16158 | 0.580788 | − | 0.814055i | \(-0.302744\pi\) | ||||
0.580788 | + | 0.814055i | \(0.302744\pi\) | |||||||
\(308\) | 2.81161 | 0.160206 | ||||||||
\(309\) | −7.36991 | + | 32.2897i | −0.419259 | + | 1.83690i | ||||
\(310\) | −0.867566 | − | 1.08789i | −0.0492744 | − | 0.0617882i | ||||
\(311\) | −1.93792 | − | 8.49060i | −0.109890 | − | 0.481458i | −0.999685 | − | 0.0250980i | \(-0.992010\pi\) |
0.889795 | − | 0.456360i | \(-0.150847\pi\) | |||||||
\(312\) | −4.56471 | − | 5.72396i | −0.258426 | − | 0.324056i | ||||
\(313\) | −3.23814 | + | 1.55941i | −0.183031 | + | 0.0881429i | −0.523155 | − | 0.852238i | \(-0.675245\pi\) |
0.340124 | + | 0.940380i | \(0.389531\pi\) | |||||||
\(314\) | −5.00061 | + | 21.9091i | −0.282201 | + | 1.23640i | ||||
\(315\) | 7.94211 | − | 3.82472i | 0.447487 | − | 0.215499i | ||||
\(316\) | 8.96459 | − | 11.2412i | 0.504298 | − | 0.632369i | ||||
\(317\) | −1.00761 | − | 4.41463i | −0.0565930 | − | 0.247950i | 0.938717 | − | 0.344690i | \(-0.112016\pi\) |
−0.995310 | + | 0.0967394i | \(0.969159\pi\) | |||||||
\(318\) | −5.66148 | − | 24.8046i | −0.317480 | − | 1.39097i | ||||
\(319\) | 9.21478 | + | 4.43760i | 0.515928 | + | 0.248458i | ||||
\(320\) | 0.623490 | − | 0.781831i | 0.0348541 | − | 0.0437057i | ||||
\(321\) | −23.5563 | − | 29.5386i | −1.31478 | − | 1.64868i | ||||
\(322\) | 8.34773 | + | 4.02006i | 0.465201 | + | 0.224029i | ||||
\(323\) | 25.8067 | + | 12.4279i | 1.43593 | + | 0.691505i | ||||
\(324\) | 4.06068 | + | 5.09193i | 0.225593 | + | 0.282885i | ||||
\(325\) | −1.54628 | + | 1.93898i | −0.0857724 | + | 0.107555i | ||||
\(326\) | −11.6152 | − | 5.59359i | −0.643307 | − | 0.309800i | ||||
\(327\) | −4.65069 | − | 20.3760i | −0.257184 | − | 1.12680i | ||||
\(328\) | −0.898633 | − | 3.93717i | −0.0496187 | − | 0.217394i | ||||
\(329\) | −0.180687 | + | 0.226575i | −0.00996162 | + | 0.0124915i | ||||
\(330\) | 4.84784 | − | 2.33460i | 0.266865 | − | 0.128515i | ||||
\(331\) | 3.03493 | − | 13.2969i | 0.166815 | − | 0.730863i | −0.820442 | − | 0.571729i | \(-0.806273\pi\) |
0.987257 | − | 0.159134i | \(-0.0508701\pi\) | |||||||
\(332\) | 14.4048 | − | 6.93698i | 0.790566 | − | 0.380716i | ||||
\(333\) | −13.0323 | − | 16.3420i | −0.714168 | − | 0.895538i | ||||
\(334\) | 3.21202 | + | 14.0728i | 0.175754 | + | 0.770029i | ||||
\(335\) | −1.04815 | − | 1.31434i | −0.0572664 | − | 0.0718098i | ||||
\(336\) | −1.01329 | + | 4.43953i | −0.0552797 | + | 0.242196i | ||||
\(337\) | −23.2595 | −1.26703 | −0.633513 | − | 0.773732i | \(-0.718388\pi\) | ||||
−0.633513 | + | 0.773732i | \(0.718388\pi\) | |||||||
\(338\) | 6.84936 | 0.372556 | ||||||||
\(339\) | −11.4963 | + | 50.3687i | −0.624395 | + | 2.73565i | ||||
\(340\) | −4.07362 | + | 5.10816i | −0.220923 | + | 0.277029i | ||||
\(341\) | 2.28506 | + | 1.10043i | 0.123743 | + | 0.0595915i | ||||
\(342\) | 22.5719 | − | 10.8700i | 1.22055 | − | 0.587784i | ||||
\(343\) | 17.9253 | 0.967875 | ||||||||
\(344\) | −3.78607 | + | 5.35403i | −0.204131 | + | 0.288670i | ||||
\(345\) | 17.7313 | 0.954624 | ||||||||
\(346\) | 18.1261 | − | 8.72909i | 0.974467 | − | 0.469279i | ||||
\(347\) | −0.271909 | − | 0.130944i | −0.0145968 | − | 0.00702946i | 0.426571 | − | 0.904454i | \(-0.359721\pi\) |
−0.441168 | + | 0.897425i | \(0.645436\pi\) | |||||||
\(348\) | −10.3279 | + | 12.9508i | −0.553635 | + | 0.694236i | ||||
\(349\) | 7.71237 | − | 33.7901i | 0.412834 | − | 1.80874i | −0.157723 | − | 0.987483i | \(-0.550415\pi\) |
0.570556 | − | 0.821259i | \(-0.306728\pi\) | |||||||
\(350\) | 1.54255 | 0.0824530 | ||||||||
\(351\) | 19.8742 | 1.06080 | ||||||||
\(352\) | −0.405589 | + | 1.77700i | −0.0216179 | + | 0.0947144i | ||||
\(353\) | −5.64317 | − | 7.07631i | −0.300355 | − | 0.376634i | 0.608635 | − | 0.793450i | \(-0.291717\pi\) |
−0.908991 | + | 0.416816i | \(0.863146\pi\) | |||||||
\(354\) | 5.26418 | + | 23.0639i | 0.279788 | + | 1.22583i | ||||
\(355\) | 5.86045 | + | 7.34878i | 0.311041 | + | 0.390033i | ||||
\(356\) | −1.93700 | + | 0.932811i | −0.102661 | + | 0.0494389i | ||||
\(357\) | 6.62044 | − | 29.0060i | 0.350391 | − | 1.53516i | ||||
\(358\) | 18.3908 | − | 8.85654i | 0.971983 | − | 0.468082i | ||||
\(359\) | −21.7838 | + | 27.3160i | −1.14970 | + | 1.44168i | −0.272118 | + | 0.962264i | \(0.587724\pi\) |
−0.877586 | + | 0.479419i | \(0.840847\pi\) | |||||||
\(360\) | 1.27162 | + | 5.57132i | 0.0670201 | + | 0.293634i | ||||
\(361\) | −0.0488631 | − | 0.214083i | −0.00257174 | − | 0.0112675i | ||||
\(362\) | −17.1856 | − | 8.27615i | −0.903255 | − | 0.434985i | ||||
\(363\) | 14.1315 | − | 17.7203i | 0.741711 | − | 0.930076i | ||||
\(364\) | 2.38523 | + | 2.99098i | 0.125020 | + | 0.156770i | ||||
\(365\) | 5.72950 | + | 2.75918i | 0.299896 | + | 0.144422i | ||||
\(366\) | 13.1761 | + | 6.34529i | 0.688727 | + | 0.331674i | ||||
\(367\) | −11.0701 | − | 13.8815i | −0.577855 | − | 0.724607i | 0.403890 | − | 0.914807i | \(-0.367658\pi\) |
−0.981745 | + | 0.190200i | \(0.939086\pi\) | |||||||
\(368\) | −3.74496 | + | 4.69603i | −0.195220 | + | 0.244798i | ||||
\(369\) | 20.7925 | + | 10.0131i | 1.08241 | + | 0.521263i | ||||
\(370\) | −0.813914 | − | 3.56599i | −0.0423134 | − | 0.185387i | ||||
\(371\) | 2.95833 | + | 12.9613i | 0.153589 | + | 0.672917i | ||||
\(372\) | −2.56110 | + | 3.21151i | −0.132787 | + | 0.166509i | ||||
\(373\) | −30.6316 | + | 14.7514i | −1.58604 | + | 0.763798i | −0.998954 | − | 0.0457248i | \(-0.985440\pi\) |
−0.587089 | + | 0.809523i | \(0.699726\pi\) | |||||||
\(374\) | 2.64995 | − | 11.6102i | 0.137025 | − | 0.600348i | ||||
\(375\) | 2.65970 | − | 1.28085i | 0.137347 | − | 0.0661426i | ||||
\(376\) | −0.117135 | − | 0.146883i | −0.00604078 | − | 0.00757490i | ||||
\(377\) | 3.09664 | + | 13.5673i | 0.159485 | + | 0.698750i | ||||
\(378\) | −7.70724 | − | 9.66457i | −0.396418 | − | 0.497092i | ||||
\(379\) | −1.31885 | + | 5.77826i | −0.0677448 | + | 0.296809i | −0.997439 | − | 0.0715231i | \(-0.977214\pi\) |
0.929694 | + | 0.368332i | \(0.120071\pi\) | |||||||
\(380\) | 4.38402 | 0.224895 | ||||||||
\(381\) | −28.7899 | −1.47495 | ||||||||
\(382\) | 1.46344 | − | 6.41173i | 0.0748759 | − | 0.328053i | ||||
\(383\) | −2.74413 | + | 3.44103i | −0.140219 | + | 0.175829i | −0.846982 | − | 0.531621i | \(-0.821583\pi\) |
0.706764 | + | 0.707450i | \(0.250154\pi\) | |||||||
\(384\) | −2.65970 | − | 1.28085i | −0.135727 | − | 0.0653629i | ||||
\(385\) | −2.53318 | + | 1.21991i | −0.129103 | + | 0.0621725i | ||||
\(386\) | −15.9634 | −0.812515 | ||||||||
\(387\) | −10.4313 | − | 35.9920i | −0.530251 | − | 1.82958i | ||||
\(388\) | −0.618779 | −0.0314137 | ||||||||
\(389\) | −19.6094 | + | 9.44339i | −0.994236 | + | 0.478799i | −0.858978 | − | 0.512012i | \(-0.828900\pi\) |
−0.135257 | + | 0.990810i | \(0.543186\pi\) | |||||||
\(390\) | 6.59619 | + | 3.17656i | 0.334011 | + | 0.160851i | ||||
\(391\) | 24.4680 | − | 30.6819i | 1.23740 | − | 1.55165i | ||||
\(392\) | −1.02816 | + | 4.50468i | −0.0519301 | + | 0.227521i | ||||
\(393\) | 21.3276 | 1.07584 | ||||||||
\(394\) | 23.2150 | 1.16955 | ||||||||
\(395\) | −3.19943 | + | 14.0176i | −0.160981 | + | 0.705302i | ||||
\(396\) | −6.49426 | − | 8.14354i | −0.326349 | − | 0.409229i | ||||
\(397\) | −5.72610 | − | 25.0877i | −0.287385 | − | 1.25911i | −0.888099 | − | 0.459651i | \(-0.847974\pi\) |
0.600715 | − | 0.799464i | \(-0.294883\pi\) | |||||||
\(398\) | −9.13898 | − | 11.4599i | −0.458096 | − | 0.574434i | ||||
\(399\) | −17.9865 | + | 8.66183i | −0.900450 | + | 0.433634i | ||||
\(400\) | −0.222521 | + | 0.974928i | −0.0111260 | + | 0.0487464i | ||||
\(401\) | 13.5883 | − | 6.54376i | 0.678565 | − | 0.326780i | −0.0626613 | − | 0.998035i | \(-0.519959\pi\) |
0.741226 | + | 0.671255i | \(0.234244\pi\) | |||||||
\(402\) | −3.09418 | + | 3.87998i | −0.154324 | + | 0.193516i | ||||
\(403\) | 0.767899 | + | 3.36438i | 0.0382518 | + | 0.167592i | ||||
\(404\) | 4.28662 | + | 18.7809i | 0.213267 | + | 0.934385i | ||||
\(405\) | −5.86785 | − | 2.82581i | −0.291576 | − | 0.140416i | ||||
\(406\) | 5.39672 | − | 6.76728i | 0.267835 | − | 0.335854i | ||||
\(407\) | 4.15673 | + | 5.21237i | 0.206041 | + | 0.258368i | ||||
\(408\) | 17.3774 | + | 8.36852i | 0.860310 | + | 0.414303i | ||||
\(409\) | 7.12125 | + | 3.42941i | 0.352123 | + | 0.169574i | 0.601581 | − | 0.798812i | \(-0.294538\pi\) |
−0.249457 | + | 0.968386i | \(0.580252\pi\) | |||||||
\(410\) | 2.51791 | + | 3.15736i | 0.124351 | + | 0.155931i | ||||
\(411\) | −41.3647 | + | 51.8697i | −2.04037 | + | 2.55854i | ||||
\(412\) | 10.1083 | + | 4.86789i | 0.497999 | + | 0.239824i | ||||
\(413\) | −2.75073 | − | 12.0517i | −0.135355 | − | 0.593027i | ||||
\(414\) | −7.63791 | − | 33.4639i | −0.375383 | − | 1.64466i | ||||
\(415\) | −9.96842 | + | 12.5000i | −0.489331 | + | 0.613601i | ||||
\(416\) | −2.23445 | + | 1.07605i | −0.109553 | + | 0.0527578i | ||||
\(417\) | −4.89864 | + | 21.4623i | −0.239887 | + | 1.05101i | ||||
\(418\) | −7.19941 | + | 3.46705i | −0.352134 | + | 0.169579i | ||||
\(419\) | −21.6301 | − | 27.1233i | −1.05670 | − | 1.32506i | −0.943457 | − | 0.331494i | \(-0.892447\pi\) |
−0.113243 | − | 0.993567i | \(-0.536124\pi\) | |||||||
\(420\) | −1.01329 | − | 4.43953i | −0.0494436 | − | 0.216627i | ||||
\(421\) | 0.406905 | + | 0.510242i | 0.0198313 | + | 0.0248677i | 0.791648 | − | 0.610977i | \(-0.209223\pi\) |
−0.771817 | + | 0.635845i | \(0.780652\pi\) | |||||||
\(422\) | −0.0457727 | + | 0.200543i | −0.00222818 | + | 0.00976229i | ||||
\(423\) | 1.07360 | 0.0522003 | ||||||||
\(424\) | −8.61858 | −0.418555 | ||||||||
\(425\) | 1.45386 | − | 6.36977i | 0.0705225 | − | 0.308979i | ||||
\(426\) | 17.3004 | − | 21.6940i | 0.838205 | − | 1.05108i | ||||
\(427\) | −6.88501 | − | 3.31565i | −0.333189 | − | 0.160455i | ||||
\(428\) | −11.5309 | + | 5.55299i | −0.557367 | + | 0.268414i | ||||
\(429\) | −13.3444 | −0.644273 | ||||||||
\(430\) | 1.08811 | − | 6.46653i | 0.0524732 | − | 0.311844i | ||||
\(431\) | 26.0189 | 1.25328 | 0.626642 | − | 0.779307i | \(-0.284429\pi\) | ||||
0.626642 | + | 0.779307i | \(0.284429\pi\) | |||||||
\(432\) | 7.22002 | − | 3.47698i | 0.347374 | − | 0.167286i | ||||
\(433\) | −27.2657 | − | 13.1305i | −1.31031 | − | 0.631010i | −0.357307 | − | 0.933987i | \(-0.616305\pi\) |
−0.952998 | + | 0.302977i | \(0.902019\pi\) | |||||||
\(434\) | 1.33827 | − | 1.67814i | 0.0642389 | − | 0.0805531i | ||||
\(435\) | 3.68599 | − | 16.1494i | 0.176730 | − | 0.774304i | ||||
\(436\) | −7.07983 | −0.339062 | ||||||||
\(437\) | −26.3324 | −1.25965 | ||||||||
\(438\) | 4.17736 | − | 18.3022i | 0.199602 | − | 0.874512i | ||||
\(439\) | −2.66568 | − | 3.34265i | −0.127226 | − | 0.159536i | 0.714139 | − | 0.700004i | \(-0.246819\pi\) |
−0.841364 | + | 0.540468i | \(0.818247\pi\) | |||||||
\(440\) | −0.405589 | − | 1.77700i | −0.0193357 | − | 0.0847151i | ||||
\(441\) | −16.4629 | − | 20.6438i | −0.783947 | − | 0.983039i | ||||
\(442\) | 14.5989 | − | 7.03048i | 0.694401 | − | 0.334406i | ||||
\(443\) | 7.97401 | − | 34.9364i | 0.378857 | − | 1.65988i | −0.322123 | − | 0.946698i | \(-0.604397\pi\) |
0.700980 | − | 0.713181i | \(-0.252746\pi\) | |||||||
\(444\) | −9.72839 | + | 4.68495i | −0.461689 | + | 0.222338i | ||||
\(445\) | 1.34045 | − | 1.68087i | 0.0635433 | − | 0.0796807i | ||||
\(446\) | −3.62285 | − | 15.8728i | −0.171547 | − | 0.751597i | ||||
\(447\) | 0.819270 | + | 3.58946i | 0.0387502 | + | 0.169776i | ||||
\(448\) | 1.38979 | + | 0.669290i | 0.0656616 | + | 0.0316210i | ||||
\(449\) | −2.01257 | + | 2.52368i | −0.0949789 | + | 0.119100i | −0.827050 | − | 0.562129i | \(-0.809983\pi\) |
0.732071 | + | 0.681229i | \(0.238554\pi\) | |||||||
\(450\) | −3.56299 | − | 4.46785i | −0.167961 | − | 0.210617i | ||||
\(451\) | −6.63187 | − | 3.19374i | −0.312283 | − | 0.150387i | ||||
\(452\) | 15.7679 | + | 7.59343i | 0.741660 | + | 0.357165i | ||||
\(453\) | 9.93653 | + | 12.4600i | 0.466859 | + | 0.585423i | ||||
\(454\) | −5.89229 | + | 7.38870i | −0.276539 | + | 0.346769i | ||||
\(455\) | −3.44676 | − | 1.65987i | −0.161586 | − | 0.0778159i | ||||
\(456\) | −2.87983 | − | 12.6174i | −0.134860 | − | 0.590862i | ||||
\(457\) | −1.17301 | − | 5.13930i | −0.0548712 | − | 0.240407i | 0.940054 | − | 0.341026i | \(-0.110775\pi\) |
−0.994925 | + | 0.100620i | \(0.967917\pi\) | |||||||
\(458\) | 3.06379 | − | 3.84187i | 0.143161 | − | 0.179519i | ||||
\(459\) | −47.1726 | + | 22.7171i | −2.20183 | + | 1.06035i | ||||
\(460\) | 1.33656 | − | 5.85586i | 0.0623175 | − | 0.273031i | ||||
\(461\) | 10.9193 | − | 5.25846i | 0.508563 | − | 0.244911i | −0.161963 | − | 0.986797i | \(-0.551783\pi\) |
0.670526 | + | 0.741886i | \(0.266068\pi\) | |||||||
\(462\) | 5.17498 | + | 6.48922i | 0.240762 | + | 0.301906i | ||||
\(463\) | 3.64541 | + | 15.9716i | 0.169416 | + | 0.742262i | 0.986233 | + | 0.165364i | \(0.0528798\pi\) |
−0.816816 | + | 0.576898i | \(0.804263\pi\) | |||||||
\(464\) | 3.49856 | + | 4.38706i | 0.162417 | + | 0.203664i | ||||
\(465\) | 0.914045 | − | 4.00469i | 0.0423878 | − | 0.185713i | ||||
\(466\) | 14.9808 | 0.693970 | ||||||||
\(467\) | −19.5625 | −0.905247 | −0.452623 | − | 0.891702i | \(-0.649512\pi\) | ||||
−0.452623 | + | 0.891702i | \(0.649512\pi\) | |||||||
\(468\) | 3.15367 | − | 13.8171i | 0.145779 | − | 0.638697i | ||||
\(469\) | 1.61683 | − | 2.02743i | 0.0746581 | − | 0.0936182i | ||||
\(470\) | 0.169265 | + | 0.0815138i | 0.00780762 | + | 0.00375995i | ||||
\(471\) | −59.7704 | + | 28.7839i | −2.75407 | + | 1.32629i | ||||
\(472\) | 8.01376 | 0.368863 | ||||||||
\(473\) | 3.32710 | + | 11.4798i | 0.152980 | + | 0.527843i | ||||
\(474\) | 42.4448 | 1.94956 | ||||||||
\(475\) | −3.94986 | + | 1.90215i | −0.181232 | + | 0.0872768i | ||||
\(476\) | −9.08034 | − | 4.37286i | −0.416196 | − | 0.200430i | ||||
\(477\) | 30.7079 | − | 38.5065i | 1.40602 | − | 1.76309i | ||||
\(478\) | 2.11217 | − | 9.25403i | 0.0966085 | − | 0.423270i | ||||
\(479\) | 7.17639 | 0.327898 | 0.163949 | − | 0.986469i | \(-0.447577\pi\) | ||||
0.163949 | + | 0.986469i | \(0.447577\pi\) | |||||||
\(480\) | 2.95205 | 0.134742 | ||||||||
\(481\) | −2.01855 | + | 8.84382i | −0.0920377 | + | 0.403244i | ||||
\(482\) | 16.5150 | + | 20.7092i | 0.752238 | + | 0.943277i | ||||
\(483\) | 6.08630 | + | 26.6658i | 0.276936 | + | 1.21334i | ||||
\(484\) | −4.78701 | − | 6.00272i | −0.217591 | − | 0.272851i | ||||
\(485\) | 0.557500 | − | 0.268478i | 0.0253148 | − | 0.0121910i | ||||
\(486\) | 1.07137 | − | 4.69398i | 0.0485983 | − | 0.212923i | ||||
\(487\) | 8.32583 | − | 4.00951i | 0.377279 | − | 0.181688i | −0.235627 | − | 0.971843i | \(-0.575714\pi\) |
0.612907 | + | 0.790155i | \(0.290000\pi\) | |||||||
\(488\) | 3.08876 | − | 3.87318i | 0.139821 | − | 0.175331i | ||||
\(489\) | −8.46860 | − | 37.1034i | −0.382963 | − | 1.67787i | ||||
\(490\) | −1.02816 | − | 4.50468i | −0.0464477 | − | 0.203501i | ||||
\(491\) | 6.68735 | + | 3.22046i | 0.301796 | + | 0.145337i | 0.578653 | − | 0.815574i | \(-0.303579\pi\) |
−0.276857 | + | 0.960911i | \(0.589293\pi\) | |||||||
\(492\) | 7.43300 | − | 9.32069i | 0.335106 | − | 0.420209i | ||||
\(493\) | −22.8581 | − | 28.6632i | −1.02948 | − | 1.29093i | ||||
\(494\) | −9.79584 | − | 4.71743i | −0.440736 | − | 0.212247i | ||||
\(495\) | 9.38448 | + | 4.51933i | 0.421801 | + | 0.203129i | ||||
\(496\) | 0.867566 | + | 1.08789i | 0.0389549 | + | 0.0488478i | ||||
\(497\) | −9.04007 | + | 11.3359i | −0.405503 | + | 0.508484i | ||||
\(498\) | 42.5237 | + | 20.4783i | 1.90553 | + | 0.917655i | ||||
\(499\) | −3.29815 | − | 14.4502i | −0.147646 | − | 0.646878i | −0.993536 | − | 0.113521i | \(-0.963787\pi\) |
0.845890 | − | 0.533357i | \(-0.179070\pi\) | |||||||
\(500\) | −0.222521 | − | 0.974928i | −0.00995144 | − | 0.0436001i | ||||
\(501\) | −26.5681 | + | 33.3154i | −1.18698 | + | 1.48842i | ||||
\(502\) | 9.16016 | − | 4.41130i | 0.408838 | − | 0.196886i | ||||
\(503\) | −5.60161 | + | 24.5422i | −0.249763 | + | 1.09428i | 0.682038 | + | 0.731317i | \(0.261094\pi\) |
−0.931802 | + | 0.362968i | \(0.881763\pi\) | |||||||
\(504\) | −7.94211 | + | 3.82472i | −0.353770 | + | 0.170367i | ||||
\(505\) | −12.0108 | − | 15.0611i | −0.534475 | − | 0.670211i | ||||
\(506\) | 2.43615 | + | 10.6735i | 0.108300 | + | 0.474493i | ||||
\(507\) | 12.6068 | + | 15.8084i | 0.559885 | + | 0.702074i | ||||
\(508\) | −2.17014 | + | 9.50800i | −0.0962843 | + | 0.421849i | ||||
\(509\) | 20.2481 | 0.897482 | 0.448741 | − | 0.893662i | \(-0.351873\pi\) | ||||
0.448741 | + | 0.893662i | \(0.351873\pi\) | |||||||
\(510\) | −19.2875 | −0.854063 | ||||||||
\(511\) | −2.18282 | + | 9.56357i | −0.0965624 | + | 0.423067i | ||||
\(512\) | −0.623490 | + | 0.781831i | −0.0275546 | + | 0.0345524i | ||||
\(513\) | 31.6527 | + | 15.2431i | 1.39750 | + | 0.673001i | ||||
\(514\) | 3.88284 | − | 1.86988i | 0.171265 | − | 0.0824767i | ||||
\(515\) | −11.2193 | −0.494383 | ||||||||
\(516\) | −19.3257 | + | 1.11621i | −0.850765 | + | 0.0491383i | ||||
\(517\) | −0.342431 | −0.0150601 | ||||||||
\(518\) | 5.08344 | − | 2.44806i | 0.223354 | − | 0.107561i | ||||
\(519\) | 53.5093 | + | 25.7687i | 2.34880 | + | 1.13112i | ||||
\(520\) | 1.54628 | − | 1.93898i | 0.0678091 | − | 0.0850299i | ||||
\(521\) | 9.12481 | − | 39.9784i | 0.399765 | − | 1.75149i | −0.228556 | − | 0.973531i | \(-0.573400\pi\) |
0.628321 | − | 0.777954i | \(-0.283743\pi\) | |||||||
\(522\) | −32.0661 | −1.40349 | ||||||||
\(523\) | −24.2654 | −1.06105 | −0.530527 | − | 0.847668i | \(-0.678006\pi\) | ||||
−0.530527 | + | 0.847668i | \(0.678006\pi\) | |||||||
\(524\) | 1.60764 | − | 7.04355i | 0.0702303 | − | 0.307699i | ||||
\(525\) | 2.83918 | + | 3.56023i | 0.123912 | + | 0.155381i | ||||
\(526\) | 3.62532 | + | 15.8836i | 0.158072 | + | 0.692556i | ||||
\(527\) | −5.66831 | − | 7.10784i | −0.246916 | − | 0.309622i | ||||
\(528\) | −4.84784 | + | 2.33460i | −0.210975 | + | 0.101600i | ||||
\(529\) | −2.91001 | + | 12.7496i | −0.126522 | + | 0.554330i | ||||
\(530\) | 7.76507 | − | 3.73946i | 0.337293 | − | 0.162432i | ||||
\(531\) | −28.5530 | + | 35.8043i | −1.23909 | + | 1.55377i | ||||
\(532\) | 1.50482 | + | 6.59303i | 0.0652421 | + | 0.285844i | ||||
\(533\) | −2.22865 | − | 9.76436i | −0.0965336 | − | 0.422942i | ||||
\(534\) | −5.71812 | − | 2.75370i | −0.247447 | − | 0.119164i | ||||
\(535\) | 7.97963 | − | 10.0061i | 0.344989 | − | 0.432603i | ||||
\(536\) | 1.04815 | + | 1.31434i | 0.0452731 | + | 0.0567706i | ||||
\(537\) | 54.2905 | + | 26.1449i | 2.34281 | + | 1.12824i | ||||
\(538\) | −18.8816 | − | 9.09291i | −0.814044 | − | 0.392023i | ||||
\(539\) | 5.25092 | + | 6.58445i | 0.226173 | + | 0.283612i | ||||
\(540\) | −4.99641 | + | 6.26530i | −0.215011 | + | 0.269616i | ||||
\(541\) | 1.02854 | + | 0.495317i | 0.0442203 | + | 0.0212954i | 0.455863 | − | 0.890050i | \(-0.349331\pi\) |
−0.411643 | + | 0.911345i | \(0.635045\pi\) | |||||||
\(542\) | −5.60558 | − | 24.5596i | −0.240780 | − | 1.05493i | ||||
\(543\) | −12.5299 | − | 54.8973i | −0.537712 | − | 2.35587i | ||||
\(544\) | 4.07362 | − | 5.10816i | 0.174655 | − | 0.219011i | ||||
\(545\) | 6.37870 | − | 3.07182i | 0.273234 | − | 0.131582i | ||||
\(546\) | −2.51302 | + | 11.0102i | −0.107547 | + | 0.471195i | ||||
\(547\) | 2.56323 | − | 1.23439i | 0.109596 | − | 0.0527786i | −0.378283 | − | 0.925690i | \(-0.623485\pi\) |
0.487878 | + | 0.872912i | \(0.337771\pi\) | |||||||
\(548\) | 14.0122 | + | 17.5707i | 0.598571 | + | 0.750585i | ||||
\(549\) | 6.29957 | + | 27.6002i | 0.268859 | + | 1.17795i | ||||
\(550\) | 1.13643 | + | 1.42504i | 0.0484577 | + | 0.0607640i | ||||
\(551\) | −5.47398 | + | 23.9831i | −0.233199 | + | 1.02171i | ||||
\(552\) | −17.7313 | −0.754696 | ||||||||
\(553\) | −22.1790 | −0.943147 | ||||||||
\(554\) | 0.205793 | − | 0.901638i | 0.00874331 | − | 0.0383069i | ||||
\(555\) | 6.73225 | − | 8.44198i | 0.285768 | − | 0.358342i | ||||
\(556\) | 6.71878 | + | 3.23559i | 0.284940 | + | 0.137220i | ||||
\(557\) | −2.77835 | + | 1.33798i | −0.117722 | + | 0.0566922i | −0.491818 | − | 0.870698i | \(-0.663667\pi\) |
0.374096 | + | 0.927390i | \(0.377953\pi\) | |||||||
\(558\) | −7.95168 | −0.336621 | ||||||||
\(559\) | −9.38964 | + | 13.2783i | −0.397140 | + | 0.561610i | ||||
\(560\) | −1.54255 | −0.0651848 | ||||||||
\(561\) | 31.6738 | − | 15.2533i | 1.33727 | − | 0.643994i | ||||
\(562\) | −11.5659 | − | 5.56985i | −0.487879 | − | 0.234950i | ||||
\(563\) | 14.3814 | − | 18.0337i | 0.606105 | − | 0.760032i | −0.380211 | − | 0.924900i | \(-0.624148\pi\) |
0.986316 | + | 0.164868i | \(0.0527199\pi\) | |||||||
\(564\) | 0.123411 | − | 0.540697i | 0.00519652 | − | 0.0227675i | ||||
\(565\) | −17.5011 | −0.736275 | ||||||||
\(566\) | 4.80712 | 0.202058 | ||||||||
\(567\) | 2.23553 | − | 9.79450i | 0.0938835 | − | 0.411330i | ||||
\(568\) | −5.86045 | − | 7.34878i | −0.245899 | − | 0.308348i | ||||
\(569\) | 6.82985 | + | 29.9235i | 0.286322 | + | 1.25446i | 0.889530 | + | 0.456876i | \(0.151032\pi\) |
−0.603208 | + | 0.797584i | \(0.706111\pi\) | |||||||
\(570\) | 8.06910 | + | 10.1183i | 0.337977 | + | 0.423810i | ||||
\(571\) | −10.6984 | + | 5.15208i | −0.447714 | + | 0.215608i | −0.644135 | − | 0.764912i | \(-0.722782\pi\) |
0.196421 | + | 0.980520i | \(0.437068\pi\) | |||||||
\(572\) | −1.00588 | + | 4.40704i | −0.0420579 | + | 0.184268i | ||||
\(573\) | 17.4919 | − | 8.42364i | 0.730734 | − | 0.351903i | ||||
\(574\) | −3.88402 | + | 4.87041i | −0.162116 | + | 0.203287i | ||||
\(575\) | 1.33656 | + | 5.85586i | 0.0557385 | + | 0.244206i | ||||
\(576\) | −1.27162 | − | 5.57132i | −0.0529841 | − | 0.232138i | ||||
\(577\) | 23.6762 | + | 11.4019i | 0.985654 | + | 0.474666i | 0.856046 | − | 0.516899i | \(-0.172914\pi\) |
0.129608 | + | 0.991565i | \(0.458628\pi\) | |||||||
\(578\) | −16.0160 | + | 20.0835i | −0.666179 | + | 0.835362i | ||||
\(579\) | −29.3818 | − | 36.8436i | −1.22106 | − | 1.53117i | ||||
\(580\) | −5.05557 | − | 2.43463i | −0.209921 | − | 0.101093i | ||||
\(581\) | −22.2202 | − | 10.7007i | −0.921848 | − | 0.443939i | ||||
\(582\) | −1.13891 | − | 1.42814i | −0.0472092 | − | 0.0591985i | ||||
\(583\) | −9.79444 | + | 12.2818i | −0.405644 | + | 0.508662i | ||||
\(584\) | −5.72950 | − | 2.75918i | −0.237088 | − | 0.114176i | ||||
\(585\) | 3.15367 | + | 13.8171i | 0.130388 | + | 0.571268i | ||||
\(586\) | 4.17421 | + | 18.2884i | 0.172435 | + | 0.755486i | ||||
\(587\) | −25.7970 | + | 32.3484i | −1.06476 | + | 1.33516i | −0.125443 | + | 0.992101i | \(0.540035\pi\) |
−0.939313 | + | 0.343062i | \(0.888536\pi\) | |||||||
\(588\) | −12.2892 | + | 5.91818i | −0.506799 | + | 0.244062i | ||||
\(589\) | −1.35743 | + | 5.94727i | −0.0559317 | + | 0.245053i | ||||
\(590\) | −7.22015 | + | 3.47704i | −0.297249 | + | 0.143148i | ||||
\(591\) | 42.7289 | + | 53.5803i | 1.75763 | + | 2.20400i | ||||
\(592\) | 0.813914 | + | 3.56599i | 0.0334516 | + | 0.146561i | ||||
\(593\) | −14.6288 | − | 18.3439i | −0.600731 | − | 0.753293i | 0.384761 | − | 0.923016i | \(-0.374284\pi\) |
−0.985492 | + | 0.169723i | \(0.945713\pi\) | |||||||
\(594\) | 3.25023 | − | 14.2402i | 0.133359 | − | 0.584283i | ||||
\(595\) | 10.0784 | 0.413175 | ||||||||
\(596\) | 1.24719 | 0.0510869 | ||||||||
\(597\) | 9.62860 | − | 42.1856i | 0.394072 | − | 1.72654i | ||||
\(598\) | −9.28768 | + | 11.6464i | −0.379802 | + | 0.476256i | ||||
\(599\) | −25.0099 | − | 12.0441i | −1.02188 | − | 0.492109i | −0.153570 | − | 0.988138i | \(-0.549077\pi\) |
−0.868306 | + | 0.496028i | \(0.834791\pi\) | |||||||
\(600\) | −2.65970 | + | 1.28085i | −0.108582 | + | 0.0522903i | ||||
\(601\) | 10.3664 | 0.422854 | 0.211427 | − | 0.977394i | \(-0.432189\pi\) | ||||
0.211427 | + | 0.977394i | \(0.432189\pi\) | |||||||
\(602\) | 10.0984 | − | 0.583260i | 0.411579 | − | 0.0237719i | ||||
\(603\) | −9.60680 | −0.391219 | ||||||||
\(604\) | 4.86398 | − | 2.34237i | 0.197913 | − | 0.0953096i | ||||
\(605\) | 6.91743 | + | 3.33126i | 0.281234 | + | 0.135435i | ||||
\(606\) | −35.4566 | + | 44.4612i | −1.44033 | + | 1.80611i | ||||
\(607\) | 5.15707 | − | 22.5946i | 0.209319 | − | 0.917087i | −0.755702 | − | 0.654915i | \(-0.772704\pi\) |
0.965021 | − | 0.262171i | \(-0.0844386\pi\) | |||||||
\(608\) | −4.38402 | −0.177795 | ||||||||
\(609\) | 25.5520 | 1.03542 | ||||||||
\(610\) | −1.10236 | + | 4.82978i | −0.0446334 | + | 0.195552i | ||||
\(611\) | −0.290501 | − | 0.364276i | −0.0117524 | − | 0.0147370i | ||||
\(612\) | 8.30822 | + | 36.4007i | 0.335840 | + | 1.47141i | ||||
\(613\) | 12.5121 | + | 15.6897i | 0.505361 | + | 0.633703i | 0.967429 | − | 0.253142i | \(-0.0814639\pi\) |
−0.462068 | + | 0.886844i | \(0.652892\pi\) | |||||||
\(614\) | 18.3369 | − | 8.83060i | 0.740018 | − | 0.356374i | ||||
\(615\) | −2.65281 | + | 11.6227i | −0.106972 | + | 0.468673i | ||||
\(616\) | 2.53318 | − | 1.21991i | 0.102065 | − | 0.0491517i | ||||
\(617\) | 23.5877 | − | 29.5780i | 0.949605 | − | 1.19077i | −0.0319315 | − | 0.999490i | \(-0.510166\pi\) |
0.981536 | − | 0.191277i | \(-0.0612627\pi\) | |||||||
\(618\) | 7.36991 | + | 32.2897i | 0.296461 | + | 1.29888i | ||||
\(619\) | 1.51628 | + | 6.64325i | 0.0609444 | + | 0.267015i | 0.996216 | − | 0.0869173i | \(-0.0277016\pi\) |
−0.935271 | + | 0.353932i | \(0.884844\pi\) | |||||||
\(620\) | −1.25367 | − | 0.603735i | −0.0503486 | − | 0.0242466i | ||||
\(621\) | 30.0107 | − | 37.6322i | 1.20429 | − | 1.51013i | ||||
\(622\) | −5.42994 | − | 6.80893i | −0.217721 | − | 0.273013i | ||||
\(623\) | 2.98793 | + | 1.43891i | 0.119709 | + | 0.0576488i | ||||
\(624\) | −6.59619 | − | 3.17656i | −0.264059 | − | 0.127164i | ||||
\(625\) | 0.623490 | + | 0.781831i | 0.0249396 | + | 0.0312733i | ||||
\(626\) | −2.24086 | + | 2.80995i | −0.0895629 | + | 0.112308i | ||||
\(627\) | −21.2530 | − | 10.2349i | −0.848763 | − | 0.408743i | ||||
\(628\) | 5.00061 | + | 21.9091i | 0.199546 | + | 0.874269i | ||||
\(629\) | −5.31777 | − | 23.2987i | −0.212034 | − | 0.928980i | ||||
\(630\) | 5.49611 | − | 6.89191i | 0.218970 | − | 0.274580i | ||||
\(631\) | 27.3005 | − | 13.1472i | 1.08682 | − | 0.523384i | 0.197327 | − | 0.980338i | \(-0.436774\pi\) |
0.889490 | + | 0.456954i | \(0.151060\pi\) | |||||||
\(632\) | 3.19943 | − | 14.0176i | 0.127266 | − | 0.557590i | ||||
\(633\) | −0.547103 | + | 0.263471i | −0.0217454 | + | 0.0104720i | ||||
\(634\) | −2.82326 | − | 3.54026i | −0.112126 | − | 0.140601i | ||||
\(635\) | −2.17014 | − | 9.50800i | −0.0861193 | − | 0.377313i | ||||
\(636\) | −15.8631 | − | 19.8917i | −0.629014 | − | 0.788758i | ||||
\(637\) | −2.54989 | + | 11.1718i | −0.101030 | + | 0.442643i | ||||
\(638\) | 10.2276 | 0.404916 | ||||||||
\(639\) | 53.7140 | 2.12489 | ||||||||
\(640\) | 0.222521 | − | 0.974928i | 0.00879591 | − | 0.0385374i | ||||
\(641\) | −25.1991 | + | 31.5986i | −0.995303 | + | 1.24807i | −0.0266523 | + | 0.999645i | \(0.508485\pi\) |
−0.968651 | + | 0.248426i | \(0.920087\pi\) | |||||||
\(642\) | −34.0398 | − | 16.3927i | −1.34344 | − | 0.646968i | ||||
\(643\) | 29.9271 | − | 14.4121i | 1.18021 | − | 0.568360i | 0.262238 | − | 0.965003i | \(-0.415539\pi\) |
0.917973 | + | 0.396644i | \(0.129825\pi\) | |||||||
\(644\) | 9.26528 | 0.365103 | ||||||||
\(645\) | 16.9275 | − | 9.39077i | 0.666521 | − | 0.369761i | ||||
\(646\) | 28.6433 | 1.12696 | ||||||||
\(647\) | −15.5109 | + | 7.46964i | −0.609795 | + | 0.293662i | −0.713182 | − | 0.700979i | \(-0.752747\pi\) |
0.103386 | + | 0.994641i | \(0.467032\pi\) | |||||||
\(648\) | 5.86785 | + | 2.82581i | 0.230511 | + | 0.111008i | ||||
\(649\) | 9.10711 | − | 11.4200i | 0.357485 | − | 0.448273i | ||||
\(650\) | −0.551863 | + | 2.41787i | −0.0216458 | + | 0.0948366i | ||||
\(651\) | 6.33632 | 0.248340 | ||||||||
\(652\) | −12.8919 | −0.504886 | ||||||||
\(653\) | −4.99510 | + | 21.8849i | −0.195473 | + | 0.856424i | 0.778117 | + | 0.628120i | \(0.216175\pi\) |
−0.973590 | + | 0.228304i | \(0.926682\pi\) | |||||||
\(654\) | −13.0309 | − | 16.3403i | −0.509550 | − | 0.638956i | ||||
\(655\) | 1.60764 | + | 7.04355i | 0.0628159 | + | 0.275214i | ||||
\(656\) | −2.51791 | − | 3.15736i | −0.0983080 | − | 0.123274i | ||||
\(657\) | 32.7418 | − | 15.7676i | 1.27738 | − | 0.615153i | ||||
\(658\) | −0.0644866 | + | 0.282534i | −0.00251395 | + | 0.0110143i | ||||
\(659\) | 16.2080 | − | 7.80535i | 0.631373 | − | 0.304053i | −0.0906915 | − | 0.995879i | \(-0.528908\pi\) |
0.722064 | + | 0.691826i | \(0.243193\pi\) | |||||||
\(660\) | 3.35481 | − | 4.20680i | 0.130586 | − | 0.163749i | ||||
\(661\) | −3.95159 | − | 17.3131i | −0.153699 | − | 0.673400i | −0.991791 | − | 0.127871i | \(-0.959186\pi\) |
0.838092 | − | 0.545529i | \(-0.183671\pi\) | |||||||
\(662\) | −3.03493 | − | 13.2969i | −0.117956 | − | 0.516798i | ||||
\(663\) | 43.0968 | + | 20.7543i | 1.67374 | + | 0.806031i | ||||
\(664\) | 9.96842 | − | 12.5000i | 0.386850 | − | 0.485094i | ||||
\(665\) | −4.21640 | − | 5.28720i | −0.163505 | − | 0.205029i | ||||
\(666\) | −18.8323 | − | 9.06915i | −0.729736 | − | 0.351422i | ||||
\(667\) | 30.3660 | + | 14.6235i | 1.17578 | + | 0.566225i | ||||
\(668\) | 8.99989 | + | 11.2855i | 0.348216 | + | 0.436649i | ||||
\(669\) | 29.9663 | − | 37.5765i | 1.15856 | − | 1.45279i | ||||
\(670\) | −1.51462 | − | 0.729401i | −0.0585148 | − | 0.0281792i | ||||
\(671\) | −2.00928 | − | 8.80322i | −0.0775673 | − | 0.339845i | ||||
\(672\) | 1.01329 | + | 4.43953i | 0.0390886 | + | 0.171259i | ||||
\(673\) | −3.84835 | + | 4.82568i | −0.148343 | + | 0.186016i | −0.850451 | − | 0.526054i | \(-0.823671\pi\) |
0.702108 | + | 0.712070i | \(0.252242\pi\) | |||||||
\(674\) | −20.9561 | + | 10.0919i | −0.807199 | + | 0.388726i | ||||
\(675\) | 1.78320 | − | 7.81270i | 0.0686354 | − | 0.300711i | ||||
\(676\) | 6.17106 | − | 2.97183i | 0.237349 | − | 0.114301i | ||||
\(677\) | −14.8118 | − | 18.5734i | −0.569264 | − | 0.713834i | 0.410976 | − | 0.911646i | \(-0.365188\pi\) |
−0.980240 | + | 0.197812i | \(0.936616\pi\) | |||||||
\(678\) | 11.4963 | + | 50.3687i | 0.441514 | + | 1.93440i | ||||
\(679\) | 0.595121 | + | 0.746258i | 0.0228387 | + | 0.0286388i | ||||
\(680\) | −1.45386 | + | 6.36977i | −0.0557530 | + | 0.244270i | ||||
\(681\) | −27.8983 | −1.06907 | ||||||||
\(682\) | 2.53623 | 0.0971171 | ||||||||
\(683\) | 9.05575 | − | 39.6758i | 0.346509 | − | 1.51815i | −0.438535 | − | 0.898714i | \(-0.644503\pi\) |
0.785044 | − | 0.619440i | \(-0.212640\pi\) | |||||||
\(684\) | 15.6202 | − | 19.5871i | 0.597254 | − | 0.748933i | ||||
\(685\) | −20.2482 | − | 9.75102i | −0.773644 | − | 0.372567i | ||||
\(686\) | 16.1501 | − | 7.77750i | 0.616615 | − | 0.296946i | ||||
\(687\) | 14.5062 | 0.553445 | ||||||||
\(688\) | −1.08811 | + | 6.46653i | −0.0414837 | + | 0.246534i | ||||
\(689\) | −21.3745 | −0.814303 | ||||||||
\(690\) | 15.9754 | − | 7.69334i | 0.608173 | − | 0.292881i | ||||
\(691\) | −3.02689 | − | 1.45767i | −0.115148 | − | 0.0554525i | 0.375423 | − | 0.926854i | \(-0.377498\pi\) |
−0.490571 | + | 0.871401i | \(0.663212\pi\) | |||||||
\(692\) | 12.5437 | − | 15.7293i | 0.476839 | − | 0.597937i | ||||
\(693\) | −3.57529 | + | 15.6644i | −0.135814 | + | 0.595041i | ||||
\(694\) | −0.301796 | −0.0114560 | ||||||||
\(695\) | −7.45728 | −0.282871 | ||||||||
\(696\) | −3.68599 | + | 16.1494i | −0.139717 | + | 0.612141i | ||||
\(697\) | 16.4510 | + | 20.6289i | 0.623126 | + | 0.781375i | ||||
\(698\) | −7.71237 | − | 33.7901i | −0.291917 | − | 1.27897i | ||||
\(699\) | 27.5732 | + | 34.5757i | 1.04291 | + | 1.30777i | ||||
\(700\) | 1.38979 | − | 0.669290i | 0.0525293 | − | 0.0252968i | ||||
\(701\) | −2.69174 | + | 11.7933i | −0.101666 | + | 0.445426i | 0.898316 | + | 0.439350i | \(0.144791\pi\) |
−0.999982 | + | 0.00607615i | \(0.998066\pi\) | |||||||
\(702\) | 17.9060 | − | 8.62308i | 0.675819 | − | 0.325457i | ||||
\(703\) | −9.99790 | + | 12.5370i | −0.377078 | + | 0.472841i | ||||
\(704\) | 0.405589 | + | 1.77700i | 0.0152862 | + | 0.0669732i | ||||
\(705\) | 0.123411 | + | 0.540697i | 0.00464791 | + | 0.0203638i | ||||
\(706\) | −8.15461 | − | 3.92705i | −0.306903 | − | 0.147797i | ||||
\(707\) | 18.5274 | − | 23.2326i | 0.696794 | − | 0.873752i | ||||
\(708\) | 14.7499 | + | 18.4958i | 0.554336 | + | 0.695115i | ||||
\(709\) | −8.82715 | − | 4.25093i | −0.331510 | − | 0.159647i | 0.260723 | − | 0.965414i | \(-0.416039\pi\) |
−0.592233 | + | 0.805767i | \(0.701753\pi\) | |||||||
\(710\) | 8.46860 | + | 4.07826i | 0.317821 | + | 0.153055i | ||||
\(711\) | 51.2290 | + | 64.2392i | 1.92124 | + | 2.40916i | ||||
\(712\) | −1.34045 | + | 1.68087i | −0.0502354 | + | 0.0629931i | ||||
\(713\) | 7.53010 | + | 3.62631i | 0.282005 | + | 0.135806i | ||||
\(714\) | −6.62044 | − | 29.0060i | −0.247764 | − | 1.08552i | ||||
\(715\) | −1.00588 | − | 4.40704i | −0.0376177 | − | 0.164814i | ||||
\(716\) | 12.7268 | − | 15.9589i | 0.475624 | − | 0.596413i | ||||
\(717\) | 25.2460 | − | 12.1578i | 0.942828 | − | 0.454042i | ||||
\(718\) | −7.77454 | + | 34.0625i | −0.290143 | + | 1.27120i | ||||
\(719\) | −27.7148 | + | 13.3467i | −1.03359 | + | 0.497749i | −0.872204 | − | 0.489143i | \(-0.837310\pi\) |
−0.161383 | + | 0.986892i | \(0.551596\pi\) | |||||||
\(720\) | 3.56299 | + | 4.46785i | 0.132785 | + | 0.166507i | ||||
\(721\) | −3.85105 | − | 16.8725i | −0.143421 | − | 0.628366i | ||||
\(722\) | −0.136911 | − | 0.171681i | −0.00509531 | − | 0.00638932i | ||||
\(723\) | −17.3998 | + | 76.2335i | −0.647105 | + | 2.83515i | ||||
\(724\) | −19.0746 | −0.708901 | ||||||||
\(725\) | 5.61126 | 0.208397 | ||||||||
\(726\) | 5.04347 | − | 22.0969i | 0.187181 | − | 0.820093i | ||||
\(727\) | −17.1938 | + | 21.5603i | −0.637681 | + | 0.799627i | −0.990711 | − | 0.135985i | \(-0.956580\pi\) |
0.353029 | + | 0.935612i | \(0.385152\pi\) | |||||||
\(728\) | 3.44676 | + | 1.65987i | 0.127745 | + | 0.0615189i | ||||
\(729\) | 30.4092 | − | 14.6443i | 1.12627 | − | 0.542382i | ||||
\(730\) | 6.35926 | 0.235367 | ||||||||
\(731\) | 7.10924 | − | 42.2496i | 0.262945 | − | 1.56266i | ||||
\(732\) | 14.6244 | 0.540533 | ||||||||
\(733\) | 4.07694 | − | 1.96335i | 0.150585 | − | 0.0725180i | −0.357073 | − | 0.934076i | \(-0.616225\pi\) |
0.507659 | + | 0.861558i | \(0.330511\pi\) | |||||||
\(734\) | −15.9968 | − | 7.70364i | −0.590452 | − | 0.284346i | ||||
\(735\) | 8.50441 | − | 10.6642i | 0.313690 | − | 0.393355i | ||||
\(736\) | −1.33656 | + | 5.85586i | −0.0492663 | + | 0.215850i | ||||
\(737\) | 3.06413 | 0.112869 | ||||||||
\(738\) | 23.0779 | 0.849511 | ||||||||
\(739\) | 9.49161 | − | 41.5854i | 0.349154 | − | 1.52975i | −0.429951 | − | 0.902852i | \(-0.641469\pi\) |
0.779105 | − | 0.626893i | \(-0.215674\pi\) | |||||||
\(740\) | −2.28054 | − | 2.85970i | −0.0838342 | − | 0.105125i | ||||
\(741\) | −7.14211 | − | 31.2916i | −0.262372 | − | 1.14953i | ||||
\(742\) | 8.28907 | + | 10.3942i | 0.304301 | + | 0.381582i | ||||
\(743\) | −23.9735 | + | 11.5450i | −0.879501 | + | 0.423545i | −0.818442 | − | 0.574589i | \(-0.805162\pi\) |
−0.0610589 | + | 0.998134i | \(0.519448\pi\) | |||||||
\(744\) | −0.914045 | + | 4.00469i | −0.0335105 | + | 0.146819i | ||||
\(745\) | −1.12368 | + | 0.541135i | −0.0411684 | + | 0.0198257i | ||||
\(746\) | −21.1977 | + | 26.5811i | −0.776103 | + | 0.973203i | ||||
\(747\) | 20.3308 | + | 89.0749i | 0.743864 | + | 3.25908i | ||||
\(748\) | −2.64995 | − | 11.6102i | −0.0968916 | − | 0.424510i | ||||
\(749\) | 17.7870 | + | 8.56579i | 0.649924 | + | 0.312987i | ||||
\(750\) | 1.84057 | − | 2.30801i | 0.0672082 | − | 0.0842764i | ||||
\(751\) | 13.1196 | + | 16.4514i | 0.478740 | + | 0.600321i | 0.961287 | − | 0.275549i | \(-0.0888597\pi\) |
−0.482547 | + | 0.875870i | \(0.660288\pi\) | |||||||
\(752\) | −0.169265 | − | 0.0815138i | −0.00617247 | − | 0.00297250i | ||||
\(753\) | 27.0412 | + | 13.0224i | 0.985437 | + | 0.474562i | ||||
\(754\) | 8.67660 | + | 10.8801i | 0.315983 | + | 0.396230i | ||||
\(755\) | −3.36598 | + | 4.22080i | −0.122500 | + | 0.153611i | ||||
\(756\) | −11.1373 | − | 5.36343i | −0.405059 | − | 0.195066i | ||||
\(757\) | −0.893368 | − | 3.91410i | −0.0324700 | − | 0.142260i | 0.956095 | − | 0.293058i | \(-0.0946729\pi\) |
−0.988565 | + | 0.150798i | \(0.951816\pi\) | |||||||
\(758\) | 1.31885 | + | 5.77826i | 0.0479028 | + | 0.209876i | ||||
\(759\) | −20.1505 | + | 25.2679i | −0.731417 | + | 0.917168i | ||||
\(760\) | 3.94986 | − | 1.90215i | 0.143277 | − | 0.0689983i | ||||
\(761\) | −8.09695 | + | 35.4751i | −0.293514 | + | 1.28597i | 0.586083 | + | 0.810251i | \(0.300669\pi\) |
−0.879597 | + | 0.475719i | \(0.842188\pi\) | |||||||
\(762\) | −25.9388 | + | 12.4915i | −0.939664 | + | 0.452518i | ||||
\(763\) | 6.80915 | + | 8.53840i | 0.246508 | + | 0.309111i | ||||
\(764\) | −1.46344 | − | 6.41173i | −0.0529453 | − | 0.231968i | ||||
\(765\) | −23.2791 | − | 29.1911i | −0.841658 | − | 1.05541i | ||||
\(766\) | −0.979369 | + | 4.29090i | −0.0353861 | + | 0.155036i | ||||
\(767\) | 19.8745 | 0.717627 | ||||||||
\(768\) | −2.95205 | −0.106523 | ||||||||
\(769\) | −10.5950 | + | 46.4195i | −0.382064 | + | 1.67393i | 0.308942 | + | 0.951081i | \(0.400025\pi\) |
−0.691005 | + | 0.722850i | \(0.742832\pi\) | |||||||
\(770\) | −1.75301 | + | 2.19821i | −0.0631742 | + | 0.0792179i | ||||
\(771\) | 11.4623 | + | 5.51996i | 0.412805 | + | 0.198797i | ||||
\(772\) | −14.3825 | + | 6.92625i | −0.517638 | + | 0.249281i | ||||
\(773\) | 13.7071 | 0.493008 | 0.246504 | − | 0.969142i | \(-0.420718\pi\) | ||||
0.246504 | + | 0.969142i | \(0.420718\pi\) | |||||||
\(774\) | −25.0146 | − | 27.9017i | −0.899131 | − | 1.00291i | ||||
\(775\) | 1.39147 | 0.0499830 | ||||||||
\(776\) | −0.557500 | + | 0.268478i | −0.0200131 | + | 0.00963780i | ||||
\(777\) | 15.0066 | + | 7.22679i | 0.538358 | + | 0.259259i | ||||
\(778\) | −13.5701 | + | 17.0164i | −0.486513 | + | 0.610067i | ||||
\(779\) | 3.93962 | − | 17.2606i | 0.141152 | − | 0.618425i | ||||
\(780\) | 7.32122 | 0.262142 | ||||||||
\(781\) | −17.1323 | −0.613043 | ||||||||
\(782\) | 8.73254 | − | 38.2597i | 0.312275 | − | 1.36817i | ||||
\(783\) | −28.0362 | − | 35.1562i | −1.00193 | − | 1.25638i | ||||
\(784\) | 1.02816 | + | 4.50468i | 0.0367201 | + | 0.160881i | ||||
\(785\) | −14.0114 | − | 17.5697i | −0.500089 | − | 0.627091i | ||||
\(786\) | 19.2155 | − | 9.25372i | 0.685396 | − | 0.330069i | ||||
\(787\) | −7.64326 | + | 33.4873i | −0.272453 | + | 1.19369i | 0.634655 | + | 0.772796i | \(0.281142\pi\) |
−0.907108 | + | 0.420899i | \(0.861715\pi\) | |||||||
\(788\) | 20.9160 | − | 10.0726i | 0.745101 | − | 0.358822i | ||||
\(789\) | −29.9867 | + | 37.6021i | −1.06755 | + | 1.33867i | ||||
\(790\) | 3.19943 | + | 14.0176i | 0.113830 | + | 0.498724i | ||||
\(791\) | −6.00725 | − | 26.3195i | −0.213593 | − | 0.935814i | ||||
\(792\) | −9.38448 | − | 4.51933i | −0.333463 | − | 0.160587i | ||||
\(793\) | 7.66027 | − | 9.60567i | 0.272024 | − | 0.341107i | ||||
\(794\) | −16.0442 | − | 20.1188i | −0.569387 | − | 0.713988i | ||||
\(795\) | 22.9229 | + | 11.0391i | 0.812990 | + | 0.391516i | ||||
\(796\) | −13.2062 | − | 6.35978i | −0.468082 | − | 0.225416i | ||||
\(797\) | −12.6509 | − | 15.8637i | −0.448116 | − | 0.561920i | 0.505546 | − | 0.862800i | \(-0.331291\pi\) |
−0.953662 | + | 0.300880i | \(0.902720\pi\) | |||||||
\(798\) | −12.4470 | + | 15.6081i | −0.440620 | + | 0.552520i | ||||
\(799\) | 1.10591 | + | 0.532577i | 0.0391242 | + | 0.0188412i | ||||
\(800\) | 0.222521 | + | 0.974928i | 0.00786730 | + | 0.0344689i | ||||
\(801\) | −2.73386 | − | 11.9778i | −0.0965963 | − | 0.423216i | ||||
\(802\) | 9.40336 | − | 11.7914i | 0.332044 | − | 0.416370i | ||||
\(803\) | −10.4431 | + | 5.02916i | −0.368531 | + | 0.177475i | ||||
\(804\) | −1.10430 | + | 4.83826i | −0.0389457 | + | 0.170632i | ||||
\(805\) | −8.34773 | + | 4.02006i | −0.294219 | + | 0.141688i | ||||
\(806\) | 2.15160 | + | 2.69803i | 0.0757870 | + | 0.0950339i | ||||
\(807\) | −13.7665 | − | 60.3150i | −0.484604 | − | 2.12319i | ||||
\(808\) | 12.0108 | + | 15.0611i | 0.422540 | + | 0.529848i | ||||
\(809\) | 11.4159 | − | 50.0163i | 0.401361 | − | 1.75848i | −0.220534 | − | 0.975379i | \(-0.570780\pi\) |
0.621896 | − | 0.783100i | \(-0.286363\pi\) | |||||||
\(810\) | −6.51282 | −0.228837 | ||||||||
\(811\) | 20.0513 | 0.704096 | 0.352048 | − | 0.935982i | \(-0.385485\pi\) | ||||
0.352048 | + | 0.935982i | \(0.385485\pi\) | |||||||
\(812\) | 1.92607 | − | 8.43866i | 0.0675918 | − | 0.296139i | ||||
\(813\) | 46.3663 | − | 58.1415i | 1.62614 | − | 2.03911i | ||||
\(814\) | 6.00665 | + | 2.89265i | 0.210533 | + | 0.101387i | ||||
\(815\) | 11.6152 | − | 5.59359i | 0.406863 | − | 0.195935i | ||||
\(816\) | 19.2875 | 0.675196 | ||||||||
\(817\) | −25.1386 | + | 13.9460i | −0.879490 | + | 0.487908i | ||||
\(818\) | 7.90399 | 0.276357 | ||||||||
\(819\) | −19.6968 | + | 9.48549i | −0.688262 | + | 0.331450i | ||||
\(820\) | 3.63849 | + | 1.75220i | 0.127062 | + | 0.0611896i | ||||
\(821\) | −10.4935 | + | 13.1584i | −0.366225 | + | 0.459231i | −0.930466 | − | 0.366379i | \(-0.880597\pi\) |
0.564241 | + | 0.825610i | \(0.309169\pi\) | |||||||
\(822\) | −14.7629 | + | 64.6804i | −0.514915 | + | 2.25599i | ||||
\(823\) | −42.4879 | −1.48104 | −0.740518 | − | 0.672036i | \(-0.765420\pi\) | ||||
−0.740518 | + | 0.672036i | \(0.765420\pi\) | |||||||
\(824\) | 11.2193 | 0.390844 | ||||||||
\(825\) | −1.19732 | + | 5.24579i | −0.0416852 | + | 0.182635i | ||||
\(826\) | −7.70738 | − | 9.66474i | −0.268174 | − | 0.336279i | ||||
\(827\) | −11.4372 | − | 50.1095i | −0.397709 | − | 1.74248i | −0.636379 | − | 0.771376i | \(-0.719569\pi\) |
0.238670 | − | 0.971101i | \(-0.423288\pi\) | |||||||
\(828\) | −21.4009 | − | 26.8359i | −0.743734 | − | 0.932613i | ||||
\(829\) | 18.2160 | − | 8.77239i | 0.632669 | − | 0.304678i | −0.0899263 | − | 0.995948i | \(-0.528663\pi\) |
0.722596 | + | 0.691271i | \(0.242949\pi\) | |||||||
\(830\) | −3.55769 | + | 15.5873i | −0.123489 | + | 0.541042i | ||||
\(831\) | 2.45976 | − | 1.18456i | 0.0853282 | − | 0.0410919i | ||||
\(832\) | −1.54628 | + | 1.93898i | −0.0536078 | + | 0.0672220i | ||||
\(833\) | −6.71759 | − | 29.4317i | −0.232751 | − | 1.01975i | ||||
\(834\) | 4.89864 | + | 21.4623i | 0.169626 | + | 0.743180i | ||||
\(835\) | −13.0052 | − | 6.26298i | −0.450064 | − | 0.216739i | ||||
\(836\) | −4.98214 | + | 6.24741i | −0.172311 | + | 0.216071i | ||||
\(837\) | −6.95235 | − | 8.71797i | −0.240308 | − | 0.301337i | ||||
\(838\) | −31.2564 | − | 15.0523i | −1.07974 | − | 0.519973i | ||||
\(839\) | 15.6864 | + | 7.55418i | 0.541555 | + | 0.260799i | 0.684603 | − | 0.728917i | \(-0.259976\pi\) |
−0.143047 | + | 0.989716i | \(0.545690\pi\) | |||||||
\(840\) | −2.83918 | − | 3.56023i | −0.0979612 | − | 0.122839i | ||||
\(841\) | 1.55013 | − | 1.94380i | 0.0534526 | − | 0.0670274i | ||||
\(842\) | 0.587994 | + | 0.283163i | 0.0202636 | + | 0.00975845i | ||||
\(843\) | −8.43267 | − | 36.9459i | −0.290436 | − | 1.27249i | ||||
\(844\) | 0.0457727 | + | 0.200543i | 0.00157556 | + | 0.00690298i | ||||
\(845\) | −4.27051 | + | 5.35505i | −0.146910 | + | 0.184219i | ||||
\(846\) | 0.967282 | − | 0.465819i | 0.0332559 | − | 0.0160152i | ||||
\(847\) | −2.63540 | + | 11.5464i | −0.0905534 | + | 0.396741i | ||||
\(848\) | −7.76507 | + | 3.73946i | −0.266654 | + | 0.128414i | ||||
\(849\) | 8.84786 | + | 11.0949i | 0.303658 | + | 0.380775i | ||||
\(850\) | −1.45386 | − | 6.36977i | −0.0498670 | − | 0.218481i | ||||
\(851\) | 13.6979 | + | 17.1767i | 0.469559 | + | 0.588808i | ||||
\(852\) | 6.17442 | − | 27.0519i | 0.211532 | − | 0.926783i | ||||
\(853\) | −44.4187 | −1.52087 | −0.760434 | − | 0.649415i | \(-0.775014\pi\) | ||||
−0.760434 | + | 0.649415i | \(0.775014\pi\) | |||||||
\(854\) | −7.64179 | −0.261497 | ||||||||
\(855\) | −5.57479 | + | 24.4247i | −0.190654 | + | 0.835309i | ||||
\(856\) | −7.97963 | + | 10.0061i | −0.272738 | + | 0.342003i | ||||
\(857\) | −10.3721 | − | 4.99494i | −0.354304 | − | 0.170624i | 0.248262 | − | 0.968693i | \(-0.420141\pi\) |
−0.602566 | + | 0.798069i | \(0.705855\pi\) | |||||||
\(858\) | −12.0229 | + | 5.78991i | −0.410454 | + | 0.197664i | ||||
\(859\) | −15.1777 | −0.517856 | −0.258928 | − | 0.965897i | \(-0.583369\pi\) | ||||
−0.258928 | + | 0.965897i | \(0.583369\pi\) | |||||||
\(860\) | −1.82537 | − | 6.29825i | −0.0622447 | − | 0.214769i | ||||
\(861\) | −18.3897 | −0.626721 | ||||||||
\(862\) | 23.4422 | − | 11.2892i | 0.798444 | − | 0.384510i | ||||
\(863\) | −24.1205 | − | 11.6158i | −0.821070 | − | 0.395406i | −0.0243115 | − | 0.999704i | \(-0.507739\pi\) |
−0.796758 | + | 0.604298i | \(0.793454\pi\) | |||||||
\(864\) | 4.99641 | − | 6.26530i | 0.169981 | − | 0.213150i | ||||
\(865\) | −4.47679 | + | 19.6141i | −0.152215 | + | 0.666899i | ||||
\(866\) | −30.2626 | −1.02837 | ||||||||
\(867\) | −75.8314 | −2.57537 | ||||||||
\(868\) | 0.477622 | − | 2.09260i | 0.0162116 | − | 0.0710275i | ||||
\(869\) | −16.3397 | − | 20.4894i | −0.554288 | − | 0.695055i | ||||
\(870\) | −3.68599 | − | 16.1494i | −0.124967 | − | 0.547516i | ||||
\(871\) | 2.59946 | + | 3.25961i | 0.0880792 | + | 0.110448i | ||||
\(872\) | −6.37870 | + | 3.07182i | −0.216010 | + | 0.104025i | ||||
\(873\) | 0.786850 | − | 3.44741i | 0.0266308 | − | 0.116677i | ||||
\(874\) | −23.7247 | + | 11.4252i | −0.802498 | + | 0.386463i | ||||
\(875\) | −0.961767 | + | 1.20602i | −0.0325137 | + | 0.0407709i | ||||
\(876\) | −4.17736 | − | 18.3022i | −0.141140 | − | 0.618374i | ||||
\(877\) | 10.1164 | + | 44.3230i | 0.341608 | + | 1.49668i | 0.795680 | + | 0.605717i | \(0.207114\pi\) |
−0.454072 | + | 0.890965i | \(0.650029\pi\) | |||||||
\(878\) | −3.85201 | − | 1.85503i | −0.129999 | − | 0.0626043i | ||||
\(879\) | −34.5268 | + | 43.2952i | −1.16456 | + | 1.46031i | ||||
\(880\) | −1.13643 | − | 1.42504i | −0.0383092 | − | 0.0480382i | ||||
\(881\) | −40.4405 | − | 19.4751i | −1.36248 | − | 0.656134i | −0.397288 | − | 0.917694i | \(-0.630049\pi\) |
−0.965187 | + | 0.261560i | \(0.915763\pi\) | |||||||
\(882\) | −23.7896 | − | 11.4565i | −0.801036 | − | 0.385759i | ||||
\(883\) | −6.48385 | − | 8.13049i | −0.218199 | − | 0.273613i | 0.660670 | − | 0.750677i | \(-0.270272\pi\) |
−0.878869 | + | 0.477064i | \(0.841701\pi\) | |||||||
\(884\) | 10.1028 | − | 12.6685i | 0.339793 | − | 0.426087i | ||||
\(885\) | −21.3142 | − | 10.2644i | −0.716471 | − | 0.345034i | ||||
\(886\) | −7.97401 | − | 34.9364i | −0.267892 | − | 1.17371i | ||||
\(887\) | 13.0289 | + | 57.0836i | 0.437469 | + | 1.91668i | 0.397817 | + | 0.917465i | \(0.369768\pi\) |
0.0396523 | + | 0.999214i | \(0.487375\pi\) | |||||||
\(888\) | −6.73225 | + | 8.44198i | −0.225920 | + | 0.283294i | ||||
\(889\) | 13.5540 | − | 6.52726i | 0.454586 | − | 0.218917i | ||||
\(890\) | 0.478400 | − | 2.09601i | 0.0160360 | − | 0.0702583i | ||||
\(891\) | 10.6953 | − | 5.15060i | 0.358307 | − | 0.172551i | ||||
\(892\) | −10.1510 | − | 12.7290i | −0.339881 | − | 0.426197i | ||||
\(893\) | −0.183274 | − | 0.802976i | −0.00613303 | − | 0.0268706i | ||||
\(894\) | 2.29554 | + | 2.87852i | 0.0767745 | + | 0.0962722i | ||||
\(895\) | −4.54215 | + | 19.9005i | −0.151827 | + | 0.665199i | ||||
\(896\) | 1.54255 | 0.0515331 | ||||||||
\(897\) | −43.9746 | −1.46827 | ||||||||
\(898\) | −0.718277 | + | 3.14698i | −0.0239692 | + | 0.105016i | ||||
\(899\) | 4.86814 | − | 6.10445i | 0.162361 | − | 0.203595i | ||||
\(900\) | −5.14867 | − | 2.47947i | −0.171622 | − | 0.0826490i | ||||
\(901\) | 50.7337 | − | 24.4321i | 1.69019 | − | 0.813950i | ||||
\(902\) | −7.36082 | −0.245088 | ||||||||
\(903\) | 19.9330 | + | 22.2336i | 0.663328 | + | 0.739887i | ||||
\(904\) | 17.5011 | 0.582077 | ||||||||
\(905\) | 17.1856 | − | 8.27615i | 0.571268 | − | 0.275108i | ||||
\(906\) | 14.3587 | + | 6.91479i | 0.477036 | + | 0.229729i | ||||
\(907\) | 32.8939 | − | 41.2477i | 1.09222 | − | 1.36961i | 0.168878 | − | 0.985637i | \(-0.445986\pi\) |
0.923346 | − | 0.383969i | \(-0.125443\pi\) | |||||||
\(908\) | −2.10293 | + | 9.21355i | −0.0697883 | + | 0.305763i | ||||
\(909\) | −110.085 | −3.65130 | ||||||||
\(910\) | −3.82561 | −0.126818 | ||||||||
\(911\) | 1.38791 | − | 6.08084i | 0.0459836 | − | 0.201467i | −0.946718 | − | 0.322064i | \(-0.895624\pi\) |
0.992702 | + | 0.120596i | \(0.0384806\pi\) | |||||||
\(912\) | −8.06910 | − | 10.1183i | −0.267195 | − | 0.335051i | ||||
\(913\) | −6.48459 | − | 28.4109i | −0.214609 | − | 0.940262i | ||||
\(914\) | −3.28671 | − | 4.12140i | −0.108715 | − | 0.136324i | ||||
\(915\) | −13.1761 | + | 6.34529i | −0.435589 | + | 0.209769i | ||||
\(916\) | 1.09345 | − | 4.79073i | 0.0361287 | − | 0.158290i | ||||
\(917\) | −10.0408 | + | 4.83541i | −0.331577 | + | 0.159679i | ||||
\(918\) | −32.6445 | + | 40.9349i | −1.07743 | + | 1.35105i | ||||
\(919\) | −3.67592 | − | 16.1053i | −0.121258 | − | 0.531264i | −0.998671 | − | 0.0515298i | \(-0.983590\pi\) |
0.877414 | − | 0.479734i | \(-0.159267\pi\) | |||||||
\(920\) | −1.33656 | − | 5.85586i | −0.0440651 | − | 0.193062i | ||||
\(921\) | 54.1315 | + | 26.0684i | 1.78369 | + | 0.858982i | ||||
\(922\) | 7.55640 | − | 9.47542i | 0.248857 | − | 0.312056i | ||||
\(923\) | −14.5342 | − | 18.2253i | −0.478399 | − | 0.599894i | ||||
\(924\) | 7.47806 | + | 3.60124i | 0.246010 | + | 0.118472i | ||||
\(925\) | 3.29547 | + | 1.58701i | 0.108354 | + | 0.0521807i | ||||
\(926\) | 10.2142 | + | 12.8082i | 0.335659 | + | 0.420904i | ||||
\(927\) | −39.9744 | + | 50.1264i | −1.31293 | + | 1.64637i | ||||
\(928\) | 5.05557 | + | 2.43463i | 0.165957 | + | 0.0799208i | ||||
\(929\) | −3.29749 | − | 14.4472i | −0.108187 | − | 0.473998i | −0.999776 | − | 0.0211532i | \(-0.993266\pi\) |
0.891589 | − | 0.452845i | \(-0.149591\pi\) | |||||||
\(930\) | −0.914045 | − | 4.00469i | −0.0299727 | − | 0.131319i | ||||
\(931\) | −12.6297 | + | 15.8371i | −0.413921 | + | 0.519041i | ||||
\(932\) | 13.4972 | − | 6.49991i | 0.442115 | − | 0.212911i | ||||
\(933\) | 5.72085 | − | 25.0647i | 0.187292 | − | 0.820580i | ||||
\(934\) | −17.6252 | + | 8.48787i | −0.576716 | + | 0.277732i | ||||
\(935\) | 7.42498 | + | 9.31064i | 0.242823 | + | 0.304490i | ||||
\(936\) | −3.15367 | − | 13.8171i | −0.103081 | − | 0.451627i | ||||
\(937\) | 19.6101 | + | 24.5902i | 0.640633 | + | 0.803328i | 0.991082 | − | 0.133254i | \(-0.0425424\pi\) |
−0.350449 | + | 0.936582i | \(0.613971\pi\) | |||||||
\(938\) | 0.577038 | − | 2.52817i | 0.0188410 | − | 0.0825477i | ||||
\(939\) | −10.6099 | −0.346240 | ||||||||
\(940\) | 0.187870 | 0.00612765 | ||||||||
\(941\) | 1.26998 | − | 5.56413i | 0.0414000 | − | 0.181385i | −0.950000 | − | 0.312249i | \(-0.898918\pi\) |
0.991400 | + | 0.130863i | \(0.0417749\pi\) | |||||||
\(942\) | −41.3624 | + | 51.8668i | −1.34766 | + | 1.68991i | ||||
\(943\) | −21.8544 | − | 10.5245i | −0.711678 | − | 0.342726i | ||||
\(944\) | 7.22015 | − | 3.47704i | 0.234996 | − | 0.113168i | ||||
\(945\) | 12.3615 | 0.402118 | ||||||||
\(946\) | 7.97852 | + | 8.89938i | 0.259404 | + | 0.289344i | ||||
\(947\) | −44.0060 | −1.43000 | −0.715001 | − | 0.699123i | \(-0.753574\pi\) | ||||
−0.715001 | + | 0.699123i | \(0.753574\pi\) | |||||||
\(948\) | 38.2415 | − | 18.4161i | 1.24203 | − | 0.598128i | ||||
\(949\) | −14.2094 | − | 6.84290i | −0.461258 | − | 0.222130i | ||||
\(950\) | −2.73339 | + | 3.42756i | −0.0886828 | + | 0.111205i | ||||
\(951\) | 2.97451 | − | 13.0322i | 0.0964552 | − | 0.422598i | ||||
\(952\) | −10.0784 | −0.326643 | ||||||||
\(953\) | 22.7615 | 0.737317 | 0.368658 | − | 0.929565i | \(-0.379817\pi\) | ||||
0.368658 | + | 0.929565i | \(0.379817\pi\) | |||||||
\(954\) | 10.9595 | − | 48.0168i | 0.354828 | − | 1.55460i | ||||
\(955\) | 4.10046 | + | 5.14181i | 0.132688 | + | 0.166385i | ||||
\(956\) | −2.11217 | − | 9.25403i | −0.0683125 | − | 0.299297i | ||||
\(957\) | 18.8247 | + | 23.6054i | 0.608516 | + | 0.763055i | ||||
\(958\) | 6.46571 | − | 3.11372i | 0.208897 | − | 0.100600i | ||||
\(959\) | 7.71415 | − | 33.7979i | 0.249103 | − | 1.09139i | ||||
\(960\) | 2.65970 | − | 1.28085i | 0.0858416 | − | 0.0413391i | ||||
\(961\) | −18.1210 | + | 22.7230i | −0.584548 | + | 0.733000i | ||||
\(962\) | 2.01855 | + | 8.84382i | 0.0650805 | + | 0.285136i | ||||
\(963\) | −16.2746 | − | 71.3036i | −0.524441 | − | 2.29773i | ||||
\(964\) | 23.8649 | + | 11.4927i | 0.768636 | + | 0.370156i | ||||
\(965\) | 9.95301 | − | 12.4807i | 0.320399 | − | 0.401767i | ||||
\(966\) | 17.0534 | + | 21.3843i | 0.548685 | + | 0.688029i | ||||
\(967\) | 40.9742 | + | 19.7321i | 1.31764 | + | 0.634543i | 0.954784 | − | 0.297301i | \(-0.0960865\pi\) |
0.362859 | + | 0.931844i | \(0.381801\pi\) | |||||||
\(968\) | −6.91743 | − | 3.33126i | −0.222335 | − | 0.107071i | ||||
\(969\) | 52.7201 | + | 66.1090i | 1.69361 | + | 2.12373i | ||||
\(970\) | 0.385802 | − | 0.483781i | 0.0123874 | − | 0.0155333i | ||||
\(971\) | −18.7814 | − | 9.04466i | −0.602725 | − | 0.290257i | 0.107530 | − | 0.994202i | \(-0.465706\pi\) |
−0.710254 | + | 0.703945i | \(0.751420\pi\) | |||||||
\(972\) | −1.07137 | − | 4.69398i | −0.0343642 | − | 0.150559i | ||||
\(973\) | −2.55972 | − | 11.2149i | −0.0820608 | − | 0.359532i | ||||
\(974\) | 5.76165 | − | 7.22488i | 0.184615 | − | 0.231500i | ||||
\(975\) | −6.59619 | + | 3.17656i | −0.211247 | + | 0.101731i | ||||
\(976\) | 1.10236 | − | 4.82978i | 0.0352858 | − | 0.154597i | ||||
\(977\) | 25.5654 | − | 12.3117i | 0.817911 | − | 0.393885i | 0.0223435 | − | 0.999750i | \(-0.492887\pi\) |
0.795567 | + | 0.605865i | \(0.207173\pi\) | |||||||
\(978\) | −23.7285 | − | 29.7546i | −0.758754 | − | 0.951447i | ||||
\(979\) | 0.871978 | + | 3.82039i | 0.0278686 | + | 0.122100i | ||||
\(980\) | −2.88085 | − | 3.61247i | −0.0920254 | − | 0.115396i | ||||
\(981\) | 9.00283 | − | 39.4440i | 0.287438 | − | 1.25935i | ||||
\(982\) | 7.42240 | 0.236858 | ||||||||
\(983\) | 16.5618 | 0.528240 | 0.264120 | − | 0.964490i | \(-0.414918\pi\) | ||||
0.264120 | + | 0.964490i | \(0.414918\pi\) | |||||||
\(984\) | 2.65281 | − | 11.6227i | 0.0845684 | − | 0.370519i | ||||
\(985\) | −14.4743 | + | 18.1502i | −0.461190 | + | 0.578314i | ||||
\(986\) | −33.0310 | − | 15.9069i | −1.05192 | − | 0.506578i | ||||
\(987\) | −0.770783 | + | 0.371189i | −0.0245343 | + | 0.0118151i | ||||
\(988\) | −10.8726 | −0.345902 | ||||||||
\(989\) | 10.9640 | + | 37.8302i | 0.348635 | + | 1.20293i | ||||
\(990\) | 10.4160 | 0.331042 | ||||||||
\(991\) | −7.84800 | + | 3.77940i | −0.249300 | + | 0.120057i | −0.554361 | − | 0.832276i | \(-0.687037\pi\) |
0.305061 | + | 0.952333i | \(0.401323\pi\) | |||||||
\(992\) | 1.25367 | + | 0.603735i | 0.0398040 | + | 0.0191686i | ||||
\(993\) | 25.1033 | − | 31.4785i | 0.796629 | − | 0.998941i | ||||
\(994\) | −3.22636 | + | 14.1356i | −0.102334 | + | 0.448355i | ||||
\(995\) | 14.6578 | 0.464683 | ||||||||
\(996\) | 47.1977 | 1.49552 | ||||||||
\(997\) | 0.575904 | − | 2.52320i | 0.0182391 | − | 0.0799105i | −0.964989 | − | 0.262289i | \(-0.915523\pi\) |
0.983228 | + | 0.182379i | \(0.0583797\pi\) | |||||||
\(998\) | −9.24122 | − | 11.5881i | −0.292526 | − | 0.366816i | ||||
\(999\) | −6.52240 | − | 28.5765i | −0.206360 | − | 0.904120i |
(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 | 430.2.k.c.41.3 | yes | 18 | |
43.21 | even | 7 | inner | 430.2.k.c.21.3 | ✓ | 18 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
430.2.k.c.21.3 | ✓ | 18 | 43.21 | even | 7 | inner | |
430.2.k.c.41.3 | yes | 18 | 1.1 | even | 1 | trivial |