Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [260,2,Mod(27,260)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(260, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([2, 1, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("260.27");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 260 = 2^{2} \cdot 5 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 260.o (of order \(4\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.07611045255\) |
Analytic rank: | \(0\) |
Dimension: | \(72\) |
Relative dimension: | \(36\) over \(\Q(i)\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 183.10 | ||
Character | \(\chi\) | \(=\) | 260.183 |
Dual form | 260.2.o.a.27.10 |
$q$-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 \(\left(\mathbb{Z}/260\mathbb{Z}\right)^\times\).
\(n\) | \(41\) | \(131\) | \(157\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{3}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.942648 | − | 1.05424i | −0.666552 | − | 0.745458i | ||||
\(3\) | 0.158208 | − | 0.158208i | 0.0913412 | − | 0.0913412i | −0.659960 | − | 0.751301i | \(-0.729427\pi\) |
0.751301 | + | 0.659960i | \(0.229427\pi\) | |||||||
\(4\) | −0.222831 | + | 1.98755i | −0.111416 | + | 0.993774i | ||||
\(5\) | −2.23604 | − | 0.0111104i | −0.999988 | − | 0.00496870i | ||||
\(6\) | −0.315922 | − | 0.0176543i | −0.128975 | − | 0.00720734i | ||||
\(7\) | −2.20671 | − | 2.20671i | −0.834058 | − | 0.834058i | 0.154011 | − | 0.988069i | \(-0.450781\pi\) |
−0.988069 | + | 0.154011i | \(0.950781\pi\) | |||||||
\(8\) | 2.30540 | − | 1.63864i | 0.815081 | − | 0.579347i | ||||
\(9\) | 2.94994i | 0.983314i | ||||||||
\(10\) | 2.09608 | + | 2.36779i | 0.662840 | + | 0.748761i | ||||
\(11\) | 3.71929i | 1.12141i | 0.828017 | + | 0.560703i | \(0.189469\pi\) | ||||
−0.828017 | + | 0.560703i | \(0.810531\pi\) | |||||||
\(12\) | 0.279192 | + | 0.349699i | 0.0805957 | + | 0.100949i | ||||
\(13\) | 0.707107 | + | 0.707107i | 0.196116 | + | 0.196116i | ||||
\(14\) | −0.246246 | + | 4.40655i | −0.0658120 | + | 1.17770i | ||||
\(15\) | −0.355516 | + | 0.352001i | −0.0917940 | + | 0.0908863i | ||||
\(16\) | −3.90069 | − | 0.885776i | −0.975173 | − | 0.221444i | ||||
\(17\) | −3.39861 | + | 3.39861i | −0.824285 | + | 0.824285i | −0.986719 | − | 0.162435i | \(-0.948065\pi\) |
0.162435 | + | 0.986719i | \(0.448065\pi\) | |||||||
\(18\) | 3.10994 | − | 2.78075i | 0.733019 | − | 0.655430i | ||||
\(19\) | −3.95131 | −0.906493 | −0.453246 | − | 0.891385i | \(-0.649734\pi\) | ||||
−0.453246 | + | 0.891385i | \(0.649734\pi\) | |||||||
\(20\) | 0.520342 | − | 4.44176i | 0.116352 | − | 0.993208i | ||||
\(21\) | −0.698237 | −0.152368 | ||||||||
\(22\) | 3.92101 | − | 3.50597i | 0.835962 | − | 0.747476i | ||||
\(23\) | −5.15484 | + | 5.15484i | −1.07486 | + | 1.07486i | −0.0778972 | + | 0.996961i | \(0.524821\pi\) |
−0.996961 | + | 0.0778972i | \(0.975179\pi\) | |||||||
\(24\) | 0.105486 | − | 0.623977i | 0.0215323 | − | 0.127369i | ||||
\(25\) | 4.99975 | + | 0.0496864i | 0.999951 | + | 0.00993728i | ||||
\(26\) | 0.0789057 | − | 1.41201i | 0.0154747 | − | 0.276918i | ||||
\(27\) | 0.941326 | + | 0.941326i | 0.181158 | + | 0.181158i | ||||
\(28\) | 4.87767 | − | 3.89422i | 0.921793 | − | 0.735938i | ||||
\(29\) | − | 2.61015i | − | 0.484693i | −0.970190 | − | 0.242347i | \(-0.922083\pi\) | ||
0.970190 | − | 0.242347i | \(-0.0779172\pi\) | |||||||
\(30\) | 0.706219 | + | 0.0429858i | 0.128937 | + | 0.00784809i | ||||
\(31\) | 1.82398i | 0.327597i | 0.986494 | + | 0.163798i | \(0.0523747\pi\) | ||||
−0.986494 | + | 0.163798i | \(0.947625\pi\) | |||||||
\(32\) | 2.74316 | + | 4.94723i | 0.484927 | + | 0.874555i | ||||
\(33\) | 0.588419 | + | 0.588419i | 0.102431 | + | 0.102431i | ||||
\(34\) | 6.78664 | + | 0.379250i | 1.16390 | + | 0.0650408i | ||||
\(35\) | 4.90978 | + | 4.95881i | 0.829904 | + | 0.838192i | ||||
\(36\) | −5.86315 | − | 0.657339i | −0.977191 | − | 0.109557i | ||||
\(37\) | 7.13984 | − | 7.13984i | 1.17378 | − | 1.17378i | 0.192482 | − | 0.981300i | \(-0.438346\pi\) |
0.981300 | − | 0.192482i | \(-0.0616538\pi\) | |||||||
\(38\) | 3.72469 | + | 4.16562i | 0.604225 | + | 0.675752i | ||||
\(39\) | 0.223739 | 0.0358270 | ||||||||
\(40\) | −5.17317 | + | 3.63845i | −0.817950 | + | 0.575290i | ||||
\(41\) | −3.88345 | −0.606493 | −0.303246 | − | 0.952912i | \(-0.598071\pi\) | ||||
−0.303246 | + | 0.952912i | \(0.598071\pi\) | |||||||
\(42\) | 0.658191 | + | 0.736107i | 0.101561 | + | 0.113584i | ||||
\(43\) | 0.0375960 | − | 0.0375960i | 0.00573333 | − | 0.00573333i | −0.704234 | − | 0.709968i | \(-0.748710\pi\) |
0.709968 | + | 0.704234i | \(0.248710\pi\) | |||||||
\(44\) | −7.39226 | − | 0.828773i | −1.11442 | − | 0.124942i | ||||
\(45\) | 0.0327749 | − | 6.59619i | 0.00488579 | − | 0.983301i | ||||
\(46\) | 10.2936 | + | 0.575226i | 1.51771 | + | 0.0848125i | ||||
\(47\) | −6.34114 | − | 6.34114i | −0.924951 | − | 0.924951i | 0.0724230 | − | 0.997374i | \(-0.476927\pi\) |
−0.997374 | + | 0.0724230i | \(0.976927\pi\) | |||||||
\(48\) | −0.757256 | + | 0.476983i | −0.109300 | + | 0.0688465i | ||||
\(49\) | 2.73915i | 0.391306i | ||||||||
\(50\) | −4.66062 | − | 5.31776i | −0.659112 | − | 0.752045i | ||||
\(51\) | 1.07537i | 0.150582i | ||||||||
\(52\) | −1.56297 | + | 1.24784i | −0.216746 | + | 0.173045i | ||||
\(53\) | −0.298805 | − | 0.298805i | −0.0410440 | − | 0.0410440i | 0.686287 | − | 0.727331i | \(-0.259239\pi\) |
−0.727331 | + | 0.686287i | \(0.759239\pi\) | |||||||
\(54\) | 0.105042 | − | 1.87972i | 0.0142944 | − | 0.255797i | ||||
\(55\) | 0.0413226 | − | 8.31647i | 0.00557193 | − | 1.12139i | ||||
\(56\) | −8.70335 | − | 1.47134i | −1.16303 | − | 0.196616i | ||||
\(57\) | −0.625127 | + | 0.625127i | −0.0828002 | + | 0.0828002i | ||||
\(58\) | −2.75172 | + | 2.46046i | −0.361319 | + | 0.323074i | ||||
\(59\) | −1.09335 | −0.142342 | −0.0711711 | − | 0.997464i | \(-0.522674\pi\) | ||||
−0.0711711 | + | 0.997464i | \(0.522674\pi\) | |||||||
\(60\) | −0.620399 | − | 0.785043i | −0.0800931 | − | 0.101349i | ||||
\(61\) | −8.96596 | −1.14797 | −0.573987 | − | 0.818865i | \(-0.694604\pi\) | ||||
−0.573987 | + | 0.818865i | \(0.694604\pi\) | |||||||
\(62\) | 1.92291 | − | 1.71937i | 0.244210 | − | 0.218361i | ||||
\(63\) | 6.50967 | − | 6.50967i | 0.820141 | − | 0.820141i | ||||
\(64\) | 2.62972 | − | 7.55543i | 0.328715 | − | 0.944429i | ||||
\(65\) | −1.57326 | − | 1.58898i | −0.195139 | − | 0.197088i | ||||
\(66\) | 0.0656614 | − | 1.17501i | 0.00808236 | − | 0.144633i | ||||
\(67\) | −7.47449 | − | 7.47449i | −0.913155 | − | 0.913155i | 0.0833645 | − | 0.996519i | \(-0.473433\pi\) |
−0.996519 | + | 0.0833645i | \(0.973433\pi\) | |||||||
\(68\) | −5.99759 | − | 7.51222i | −0.727314 | − | 0.910991i | ||||
\(69\) | 1.63107i | 0.196358i | ||||||||
\(70\) | 0.599574 | − | 9.85048i | 0.0716628 | − | 1.17736i | ||||
\(71\) | 12.5380i | 1.48799i | 0.668184 | + | 0.743996i | \(0.267072\pi\) | ||||
−0.668184 | + | 0.743996i | \(0.732928\pi\) | |||||||
\(72\) | 4.83389 | + | 6.80079i | 0.569679 | + | 0.801480i | ||||
\(73\) | 6.19988 | + | 6.19988i | 0.725641 | + | 0.725641i | 0.969748 | − | 0.244107i | \(-0.0784949\pi\) |
−0.244107 | + | 0.969748i | \(0.578495\pi\) | |||||||
\(74\) | −14.2574 | − | 0.796731i | −1.65739 | − | 0.0926181i | ||||
\(75\) | 0.798860 | − | 0.783139i | 0.0922444 | − | 0.0904290i | ||||
\(76\) | 0.880476 | − | 7.85342i | 0.100997 | − | 0.900849i | ||||
\(77\) | 8.20739 | − | 8.20739i | 0.935319 | − | 0.935319i | ||||
\(78\) | −0.210907 | − | 0.235874i | −0.0238806 | − | 0.0267075i | ||||
\(79\) | 16.4253 | 1.84799 | 0.923994 | − | 0.382406i | \(-0.124904\pi\) | ||||
0.923994 | + | 0.382406i | \(0.124904\pi\) | |||||||
\(80\) | 8.71226 | + | 2.02397i | 0.974061 | + | 0.226287i | ||||
\(81\) | −8.55197 | −0.950219 | ||||||||
\(82\) | 3.66072 | + | 4.09408i | 0.404259 | + | 0.452115i | ||||
\(83\) | 1.62581 | − | 1.62581i | 0.178455 | − | 0.178455i | −0.612227 | − | 0.790682i | \(-0.709726\pi\) |
0.790682 | + | 0.612227i | \(0.209726\pi\) | |||||||
\(84\) | 0.155589 | − | 1.38778i | 0.0169762 | − | 0.151419i | ||||
\(85\) | 7.63720 | − | 7.56168i | 0.828370 | − | 0.820179i | ||||
\(86\) | −0.0750748 | − | 0.00419532i | −0.00809553 | − | 0.000452393i | ||||
\(87\) | −0.412946 | − | 0.412946i | −0.0442725 | − | 0.0442725i | ||||
\(88\) | 6.09457 | + | 8.57443i | 0.649683 | + | 0.914038i | ||||
\(89\) | 1.23447i | 0.130854i | 0.997857 | + | 0.0654269i | \(0.0208409\pi\) | ||||
−0.997857 | + | 0.0654269i | \(0.979159\pi\) | |||||||
\(90\) | −6.98484 | + | 6.18333i | −0.736267 | + | 0.651780i | ||||
\(91\) | − | 3.12076i | − | 0.327145i | ||||||
\(92\) | −9.09683 | − | 11.3942i | −0.948410 | − | 1.18792i | ||||
\(93\) | 0.288568 | + | 0.288568i | 0.0299231 | + | 0.0299231i | ||||
\(94\) | −0.707605 | + | 12.6625i | −0.0729839 | + | 1.30604i | ||||
\(95\) | 8.83529 | + | 0.0439004i | 0.906481 | + | 0.00450409i | ||||
\(96\) | 1.21668 | + | 0.348701i | 0.124177 | + | 0.0355891i | ||||
\(97\) | −11.5096 | + | 11.5096i | −1.16863 | + | 1.16863i | −0.186093 | + | 0.982532i | \(0.559583\pi\) |
−0.982532 | + | 0.186093i | \(0.940417\pi\) | |||||||
\(98\) | 2.88771 | − | 2.58205i | 0.291703 | − | 0.260826i | ||||
\(99\) | −10.9717 | −1.10269 | ||||||||
\(100\) | −1.21286 | + | 9.92618i | −0.121286 | + | 0.992618i | ||||
\(101\) | 5.53619 | 0.550872 | 0.275436 | − | 0.961319i | \(-0.411178\pi\) | ||||
0.275436 | + | 0.961319i | \(0.411178\pi\) | |||||||
\(102\) | 1.13370 | − | 1.01370i | 0.112253 | − | 0.100371i | ||||
\(103\) | −8.21473 | + | 8.21473i | −0.809421 | + | 0.809421i | −0.984546 | − | 0.175125i | \(-0.943967\pi\) |
0.175125 | + | 0.984546i | \(0.443967\pi\) | |||||||
\(104\) | 2.78886 | + | 0.471469i | 0.273470 | + | 0.0462314i | ||||
\(105\) | 1.56129 | + | 0.00775766i | 0.152366 | + | 0.000757070i | ||||
\(106\) | −0.0333435 | + | 0.596679i | −0.00323861 | + | 0.0579546i | ||||
\(107\) | 0.375597 | + | 0.375597i | 0.0363104 | + | 0.0363104i | 0.725029 | − | 0.688718i | \(-0.241826\pi\) |
−0.688718 | + | 0.725029i | \(0.741826\pi\) | |||||||
\(108\) | −2.08069 | + | 1.66117i | −0.200214 | + | 0.159847i | ||||
\(109\) | − | 6.37721i | − | 0.610826i | −0.952220 | − | 0.305413i | \(-0.901205\pi\) | ||
0.952220 | − | 0.305413i | \(-0.0987946\pi\) | |||||||
\(110\) | −8.80648 | + | 7.79594i | −0.839665 | + | 0.743313i | ||||
\(111\) | − | 2.25916i | − | 0.214430i | ||||||
\(112\) | 6.65305 | + | 10.5624i | 0.628654 | + | 0.998048i | ||||
\(113\) | 3.29961 | + | 3.29961i | 0.310401 | + | 0.310401i | 0.845065 | − | 0.534664i | \(-0.179562\pi\) |
−0.534664 | + | 0.845065i | \(0.679562\pi\) | |||||||
\(114\) | 1.24831 | + | 0.0697577i | 0.116915 | + | 0.00653340i | ||||
\(115\) | 11.5837 | − | 11.4692i | 1.08019 | − | 1.06950i | ||||
\(116\) | 5.18781 | + | 0.581624i | 0.481676 | + | 0.0540025i | ||||
\(117\) | −2.08592 | + | 2.08592i | −0.192844 | + | 0.192844i | ||||
\(118\) | 1.03065 | + | 1.15265i | 0.0948786 | + | 0.106110i | ||||
\(119\) | 14.9995 | 1.37500 | ||||||||
\(120\) | −0.242804 | + | 1.39407i | −0.0221649 | + | 0.127260i | ||||
\(121\) | −2.83308 | −0.257553 | ||||||||
\(122\) | 8.45174 | + | 9.45225i | 0.765185 | + | 0.855766i | ||||
\(123\) | −0.614392 | + | 0.614392i | −0.0553978 | + | 0.0553978i | ||||
\(124\) | −3.62525 | − | 0.406441i | −0.325557 | − | 0.0364994i | ||||
\(125\) | −11.1791 | − | 0.166650i | −0.999889 | − | 0.0149056i | ||||
\(126\) | −12.9991 | − | 0.726410i | −1.15805 | − | 0.0647138i | ||||
\(127\) | 1.95951 | + | 1.95951i | 0.173878 | + | 0.173878i | 0.788681 | − | 0.614803i | \(-0.210764\pi\) |
−0.614803 | + | 0.788681i | \(0.710764\pi\) | |||||||
\(128\) | −10.4441 | + | 4.34976i | −0.923138 | + | 0.384468i | ||||
\(129\) | − | 0.0118959i | − | 0.00104738i | ||||||
\(130\) | −0.192124 | + | 3.15644i | −0.0168504 | + | 0.276838i | ||||
\(131\) | 1.31295i | 0.114713i | 0.998354 | + | 0.0573563i | \(0.0182671\pi\) | ||||
−0.998354 | + | 0.0573563i | \(0.981733\pi\) | |||||||
\(132\) | −1.30063 | + | 1.03839i | −0.113205 | + | 0.0903805i | ||||
\(133\) | 8.71940 | + | 8.71940i | 0.756068 | + | 0.756068i | ||||
\(134\) | −0.834075 | + | 14.9257i | −0.0720531 | + | 1.28938i | ||||
\(135\) | −2.09438 | − | 2.11530i | −0.180256 | − | 0.182056i | ||||
\(136\) | −2.26605 | + | 13.4043i | −0.194312 | + | 1.14941i | ||||
\(137\) | 3.17187 | − | 3.17187i | 0.270992 | − | 0.270992i | −0.558508 | − | 0.829499i | \(-0.688626\pi\) |
0.829499 | + | 0.558508i | \(0.188626\pi\) | |||||||
\(138\) | 1.71954 | − | 1.53752i | 0.146377 | − | 0.130883i | ||||
\(139\) | 18.9854 | 1.61032 | 0.805160 | − | 0.593058i | \(-0.202080\pi\) | ||||
0.805160 | + | 0.593058i | \(0.202080\pi\) | |||||||
\(140\) | −10.9499 | + | 8.65344i | −0.925438 | + | 0.731349i | ||||
\(141\) | −2.00644 | −0.168972 | ||||||||
\(142\) | 13.2181 | − | 11.8190i | 1.10924 | − | 0.991824i | ||||
\(143\) | −2.62993 | + | 2.62993i | −0.219926 | + | 0.219926i | ||||
\(144\) | 2.61299 | − | 11.5068i | 0.217749 | − | 0.958901i | ||||
\(145\) | −0.0289997 | + | 5.83641i | −0.00240830 | + | 0.484687i | ||||
\(146\) | 0.691841 | − | 12.3804i | 0.0572572 | − | 1.02461i | ||||
\(147\) | 0.433354 | + | 0.433354i | 0.0357424 | + | 0.0357424i | ||||
\(148\) | 12.5998 | + | 15.7818i | 1.03570 | + | 1.29725i | ||||
\(149\) | 20.4040i | 1.67156i | 0.549061 | + | 0.835782i | \(0.314985\pi\) | ||||
−0.549061 | + | 0.835782i | \(0.685015\pi\) | |||||||
\(150\) | −1.57866 | − | 0.103964i | −0.128897 | − | 0.00848865i | ||||
\(151\) | − | 5.45100i | − | 0.443596i | −0.975093 | − | 0.221798i | \(-0.928807\pi\) | ||
0.975093 | − | 0.221798i | \(-0.0711926\pi\) | |||||||
\(152\) | −9.10934 | + | 6.47477i | −0.738865 | + | 0.525173i | ||||
\(153\) | −10.0257 | − | 10.0257i | −0.810530 | − | 0.810530i | ||||
\(154\) | −16.3892 | − | 0.915858i | −1.32068 | − | 0.0738020i | ||||
\(155\) | 0.0202651 | − | 4.07850i | 0.00162773 | − | 0.327593i | ||||
\(156\) | −0.0498562 | + | 0.444693i | −0.00399169 | + | 0.0356039i | ||||
\(157\) | −8.11693 | + | 8.11693i | −0.647801 | + | 0.647801i | −0.952461 | − | 0.304660i | \(-0.901457\pi\) |
0.304660 | + | 0.952461i | \(0.401457\pi\) | |||||||
\(158\) | −15.4833 | − | 17.3161i | −1.23178 | − | 1.37760i | ||||
\(159\) | −0.0945465 | −0.00749803 | ||||||||
\(160\) | −6.07885 | − | 11.0927i | −0.480575 | − | 0.876953i | ||||
\(161\) | 22.7505 | 1.79299 | ||||||||
\(162\) | 8.06149 | + | 9.01581i | 0.633371 | + | 0.708349i | ||||
\(163\) | −6.14842 | + | 6.14842i | −0.481581 | + | 0.481581i | −0.905636 | − | 0.424055i | \(-0.860606\pi\) |
0.424055 | + | 0.905636i | \(0.360606\pi\) | |||||||
\(164\) | 0.865355 | − | 7.71854i | 0.0675728 | − | 0.602717i | ||||
\(165\) | −1.30919 | − | 1.32227i | −0.101920 | − | 0.102938i | ||||
\(166\) | −3.24655 | − | 0.181423i | −0.251981 | − | 0.0140812i | ||||
\(167\) | 14.9835 | + | 14.9835i | 1.15946 | + | 1.15946i | 0.984593 | + | 0.174864i | \(0.0559487\pi\) |
0.174864 | + | 0.984593i | \(0.444051\pi\) | |||||||
\(168\) | −1.60971 | + | 1.14416i | −0.124192 | + | 0.0882738i | ||||
\(169\) | 1.00000i | 0.0769231i | ||||||||
\(170\) | −15.1710 | − | 0.923419i | −1.16356 | − | 0.0708230i | ||||
\(171\) | − | 11.6561i | − | 0.891366i | ||||||
\(172\) | 0.0663462 | + | 0.0831014i | 0.00505885 | + | 0.00633642i | ||||
\(173\) | −14.1569 | − | 14.1569i | −1.07633 | − | 1.07633i | −0.996835 | − | 0.0794964i | \(-0.974669\pi\) |
−0.0794964 | − | 0.996835i | \(-0.525331\pi\) | |||||||
\(174\) | −0.0460805 | + | 0.824606i | −0.00349335 | + | 0.0625132i | ||||
\(175\) | −10.9234 | − | 11.1427i | −0.825729 | − | 0.842305i | ||||
\(176\) | 3.29445 | − | 14.5078i | 0.248329 | − | 1.09357i | ||||
\(177\) | −0.172977 | + | 0.172977i | −0.0130017 | + | 0.0130017i | ||||
\(178\) | 1.30143 | − | 1.16367i | 0.0975460 | − | 0.0872209i | ||||
\(179\) | 13.8558 | 1.03563 | 0.517817 | − | 0.855492i | \(-0.326745\pi\) | ||||
0.517817 | + | 0.855492i | \(0.326745\pi\) | |||||||
\(180\) | 13.1029 | + | 1.53498i | 0.976635 | + | 0.114411i | ||||
\(181\) | 8.60220 | 0.639397 | 0.319698 | − | 0.947519i | \(-0.396418\pi\) | ||||
0.319698 | + | 0.947519i | \(0.396418\pi\) | |||||||
\(182\) | −3.29002 | + | 2.94178i | −0.243873 | + | 0.218059i | ||||
\(183\) | −1.41848 | + | 1.41848i | −0.104857 | + | 0.104857i | ||||
\(184\) | −3.43703 | + | 20.3309i | −0.253381 | + | 1.49881i | ||||
\(185\) | −16.0443 | + | 15.8856i | −1.17960 | + | 1.16794i | ||||
\(186\) | 0.0322012 | − | 0.576237i | 0.00236110 | − | 0.0422518i | ||||
\(187\) | −12.6404 | − | 12.6404i | −0.924358 | − | 0.924358i | ||||
\(188\) | 14.0163 | − | 11.1903i | 1.02225 | − | 0.816138i | ||||
\(189\) | − | 4.15447i | − | 0.302193i | ||||||
\(190\) | −8.28228 | − | 9.35587i | −0.600860 | − | 0.678746i | ||||
\(191\) | − | 0.459773i | − | 0.0332680i | −0.999862 | − | 0.0166340i | \(-0.994705\pi\) | ||
0.999862 | − | 0.0166340i | \(-0.00529501\pi\) | |||||||
\(192\) | −0.779286 | − | 1.61137i | −0.0562401 | − | 0.116291i | ||||
\(193\) | 4.92125 | + | 4.92125i | 0.354239 | + | 0.354239i | 0.861684 | − | 0.507445i | \(-0.169410\pi\) |
−0.507445 | + | 0.861684i | \(0.669410\pi\) | |||||||
\(194\) | 22.9834 | + | 1.28435i | 1.65011 | + | 0.0922112i | ||||
\(195\) | −0.500290 | − | 0.00248582i | −0.0358265 | − | 0.000178014i | ||||
\(196\) | −5.44418 | − | 0.610368i | −0.388870 | − | 0.0435977i | ||||
\(197\) | 13.8739 | − | 13.8739i | 0.988476 | − | 0.988476i | −0.0114581 | − | 0.999934i | \(-0.503647\pi\) |
0.999934 | + | 0.0114581i | \(0.00364731\pi\) | |||||||
\(198\) | 10.3424 | + | 11.5667i | 0.735004 | + | 0.822012i | ||||
\(199\) | −14.3199 | −1.01511 | −0.507554 | − | 0.861620i | \(-0.669450\pi\) | ||||
−0.507554 | + | 0.861620i | \(0.669450\pi\) | |||||||
\(200\) | 11.6078 | − | 8.07825i | 0.820798 | − | 0.571218i | ||||
\(201\) | −2.36504 | −0.166817 | ||||||||
\(202\) | −5.21868 | − | 5.83646i | −0.367185 | − | 0.410652i | ||||
\(203\) | −5.75986 | + | 5.75986i | −0.404263 | + | 0.404263i | ||||
\(204\) | −2.13736 | − | 0.239627i | −0.149645 | − | 0.0167772i | ||||
\(205\) | 8.68355 | + | 0.0431465i | 0.606485 | + | 0.00301348i | ||||
\(206\) | 16.4039 | + | 0.916678i | 1.14291 | + | 0.0638680i | ||||
\(207\) | −15.2065 | − | 15.2065i | −1.05692 | − | 1.05692i | ||||
\(208\) | −2.13187 | − | 3.38454i | −0.147818 | − | 0.234676i | ||||
\(209\) | − | 14.6960i | − | 1.01655i | ||||||
\(210\) | −1.46356 | − | 1.65328i | −0.100996 | − | 0.114087i | ||||
\(211\) | 21.8019i | 1.50091i | 0.660924 | + | 0.750453i | \(0.270164\pi\) | ||||
−0.660924 | + | 0.750453i | \(0.729836\pi\) | |||||||
\(212\) | 0.660473 | − | 0.527306i | 0.0453615 | − | 0.0362155i | ||||
\(213\) | 1.98361 | + | 1.98361i | 0.135915 | + | 0.135915i | ||||
\(214\) | 0.0419127 | − | 0.750024i | 0.00286509 | − | 0.0512706i | ||||
\(215\) | −0.0844838 | + | 0.0836484i | −0.00576175 | + | 0.00570478i | ||||
\(216\) | 3.71263 | + | 0.627637i | 0.252612 | + | 0.0427053i | ||||
\(217\) | 4.02500 | − | 4.02500i | 0.273235 | − | 0.273235i | ||||
\(218\) | −6.72309 | + | 6.01146i | −0.455345 | + | 0.407148i | ||||
\(219\) | 1.96174 | 0.132562 | ||||||||
\(220\) | 16.5202 | + | 1.93530i | 1.11379 | + | 0.130478i | ||||
\(221\) | −4.80636 | −0.323311 | ||||||||
\(222\) | −2.38169 | + | 2.12959i | −0.159848 | + | 0.142929i | ||||
\(223\) | −12.5947 | + | 12.5947i | −0.843404 | + | 0.843404i | −0.989300 | − | 0.145896i | \(-0.953394\pi\) |
0.145896 | + | 0.989300i | \(0.453394\pi\) | |||||||
\(224\) | 4.86374 | − | 16.9705i | 0.324972 | − | 1.13389i | ||||
\(225\) | −0.146572 | + | 14.7490i | −0.00977146 | + | 0.983265i | ||||
\(226\) | 0.368202 | − | 6.58894i | 0.0244924 | − | 0.438290i | ||||
\(227\) | −8.00497 | − | 8.00497i | −0.531309 | − | 0.531309i | 0.389653 | − | 0.920962i | \(-0.372595\pi\) |
−0.920962 | + | 0.389653i | \(0.872595\pi\) | |||||||
\(228\) | −1.10317 | − | 1.38177i | −0.0730594 | − | 0.0915099i | ||||
\(229\) | − | 20.4753i | − | 1.35305i | −0.736421 | − | 0.676523i | \(-0.763486\pi\) | ||
0.736421 | − | 0.676523i | \(-0.236514\pi\) | |||||||
\(230\) | −23.0106 | − | 1.40059i | −1.51727 | − | 0.0923525i | ||||
\(231\) | − | 2.59694i | − | 0.170866i | ||||||
\(232\) | −4.27710 | − | 6.01744i | −0.280806 | − | 0.395065i | ||||
\(233\) | −4.88720 | − | 4.88720i | −0.320171 | − | 0.320171i | 0.528662 | − | 0.848833i | \(-0.322694\pi\) |
−0.848833 | + | 0.528662i | \(0.822694\pi\) | |||||||
\(234\) | 4.16535 | + | 0.232767i | 0.272297 | + | 0.0152165i | ||||
\(235\) | 14.1086 | + | 14.2495i | 0.920344 | + | 0.929535i | ||||
\(236\) | 0.243633 | − | 2.17309i | 0.0158592 | − | 0.141456i | ||||
\(237\) | 2.59861 | − | 2.59861i | 0.168798 | − | 0.168798i | ||||
\(238\) | −14.1393 | − | 15.8130i | −0.916512 | − | 1.02501i | ||||
\(239\) | −12.4349 | −0.804347 | −0.402174 | − | 0.915563i | \(-0.631745\pi\) | ||||
−0.402174 | + | 0.915563i | \(0.631745\pi\) | |||||||
\(240\) | 1.69855 | − | 1.05814i | 0.109641 | − | 0.0683026i | ||||
\(241\) | 16.7919 | 1.08166 | 0.540830 | − | 0.841132i | \(-0.318110\pi\) | ||||
0.540830 | + | 0.841132i | \(0.318110\pi\) | |||||||
\(242\) | 2.67060 | + | 2.98674i | 0.171672 | + | 0.191995i | ||||
\(243\) | −4.17697 | + | 4.17697i | −0.267953 | + | 0.267953i | ||||
\(244\) | 1.99790 | − | 17.8203i | 0.127902 | − | 1.14083i | ||||
\(245\) | 0.0304329 | − | 6.12484i | 0.00194428 | − | 0.391302i | ||||
\(246\) | 1.22687 | + | 0.0685597i | 0.0782223 | + | 0.00437120i | ||||
\(247\) | −2.79400 | − | 2.79400i | −0.177778 | − | 0.177778i | ||||
\(248\) | 2.98885 | + | 4.20501i | 0.189792 | + | 0.267018i | ||||
\(249\) | − | 0.514430i | − | 0.0326007i | ||||||
\(250\) | 10.3623 | + | 11.9425i | 0.655367 | + | 0.755311i | ||||
\(251\) | 12.8842i | 0.813244i | 0.913596 | + | 0.406622i | \(0.133293\pi\) | ||||
−0.913596 | + | 0.406622i | \(0.866707\pi\) | |||||||
\(252\) | 11.4877 | + | 14.3888i | 0.723658 | + | 0.906411i | ||||
\(253\) | −19.1723 | − | 19.1723i | −1.20535 | − | 1.20535i | ||||
\(254\) | 0.218660 | − | 3.91291i | 0.0137200 | − | 0.245518i | ||||
\(255\) | 0.0119478 | − | 2.40458i | 0.000748199 | − | 0.150581i | ||||
\(256\) | 14.4308 | + | 6.91028i | 0.901925 | + | 0.431892i | ||||
\(257\) | −15.0887 | + | 15.0887i | −0.941207 | + | 0.941207i | −0.998365 | − | 0.0571585i | \(-0.981796\pi\) |
0.0571585 | + | 0.998365i | \(0.481796\pi\) | |||||||
\(258\) | −0.0125411 | + | 0.0112137i | −0.000780778 | + | 0.000698133i | ||||
\(259\) | −31.5111 | −1.95801 | ||||||||
\(260\) | 3.50874 | − | 2.77286i | 0.217603 | − | 0.171966i | ||||
\(261\) | 7.69980 | 0.476606 | ||||||||
\(262\) | 1.38416 | − | 1.23765i | 0.0855135 | − | 0.0764620i | ||||
\(263\) | 9.72534 | − | 9.72534i | 0.599690 | − | 0.599690i | −0.340540 | − | 0.940230i | \(-0.610610\pi\) |
0.940230 | + | 0.340540i | \(0.110610\pi\) | |||||||
\(264\) | 2.32075 | + | 0.392333i | 0.142832 | + | 0.0241464i | ||||
\(265\) | 0.664821 | + | 0.671460i | 0.0408396 | + | 0.0412475i | ||||
\(266\) | 0.972993 | − | 17.4116i | 0.0596581 | − | 1.06758i | ||||
\(267\) | 0.195303 | + | 0.195303i | 0.0119523 | + | 0.0119523i | ||||
\(268\) | 16.5215 | − | 13.1904i | 1.00921 | − | 0.805729i | ||||
\(269\) | − | 4.39890i | − | 0.268205i | −0.990967 | − | 0.134103i | \(-0.957185\pi\) | ||
0.990967 | − | 0.134103i | \(-0.0428152\pi\) | |||||||
\(270\) | −0.255763 | + | 4.20196i | −0.0155652 | + | 0.255723i | ||||
\(271\) | 25.4419i | 1.54548i | 0.634720 | + | 0.772742i | \(0.281116\pi\) | ||||
−0.634720 | + | 0.772742i | \(0.718884\pi\) | |||||||
\(272\) | 16.2674 | − | 10.2465i | 0.986353 | − | 0.621287i | ||||
\(273\) | −0.493728 | − | 0.493728i | −0.0298818 | − | 0.0298818i | ||||
\(274\) | −6.33387 | − | 0.353948i | −0.382643 | − | 0.0213828i | ||||
\(275\) | −0.184798 | + | 18.5955i | −0.0111437 | + | 1.12135i | ||||
\(276\) | −3.24183 | − | 0.363454i | −0.195135 | − | 0.0218773i | ||||
\(277\) | 1.56210 | − | 1.56210i | 0.0938575 | − | 0.0938575i | −0.658619 | − | 0.752477i | \(-0.728859\pi\) |
0.752477 | + | 0.658619i | \(0.228859\pi\) | |||||||
\(278\) | −17.8965 | − | 20.0151i | −1.07336 | − | 1.20043i | ||||
\(279\) | −5.38064 | −0.322131 | ||||||||
\(280\) | 19.4447 | + | 3.38668i | 1.16204 | + | 0.202393i | ||||
\(281\) | −2.00740 | −0.119751 | −0.0598757 | − | 0.998206i | \(-0.519070\pi\) | ||||
−0.0598757 | + | 0.998206i | \(0.519070\pi\) | |||||||
\(282\) | 1.89136 | + | 2.11526i | 0.112629 | + | 0.125962i | ||||
\(283\) | 12.4458 | − | 12.4458i | 0.739827 | − | 0.739827i | −0.232717 | − | 0.972544i | \(-0.574762\pi\) |
0.972544 | + | 0.232717i | \(0.0747616\pi\) | |||||||
\(284\) | −24.9200 | − | 2.79387i | −1.47873 | − | 0.165786i | ||||
\(285\) | 1.40476 | − | 1.39086i | 0.0832105 | − | 0.0823877i | ||||
\(286\) | 5.25167 | + | 0.293473i | 0.310538 | + | 0.0173534i | ||||
\(287\) | 8.56965 | + | 8.56965i | 0.505850 | + | 0.505850i | ||||
\(288\) | −14.5940 | + | 8.09216i | −0.859962 | + | 0.476835i | ||||
\(289\) | − | 6.10114i | − | 0.358891i | ||||||
\(290\) | 6.18030 | − | 5.47111i | 0.362919 | − | 0.321274i | ||||
\(291\) | 3.64182i | 0.213487i | ||||||||
\(292\) | −13.7041 | + | 10.9410i | −0.801971 | + | 0.640275i | ||||
\(293\) | −2.07145 | − | 2.07145i | −0.121016 | − | 0.121016i | 0.644005 | − | 0.765021i | \(-0.277271\pi\) |
−0.765021 | + | 0.644005i | \(0.777271\pi\) | |||||||
\(294\) | 0.0483577 | − | 0.865357i | 0.00282028 | − | 0.0504687i | ||||
\(295\) | 2.44478 | + | 0.0121475i | 0.142341 | + | 0.000707256i | ||||
\(296\) | 4.76055 | − | 28.1598i | 0.276701 | − | 1.63676i | ||||
\(297\) | −3.50106 | + | 3.50106i | −0.203152 | + | 0.203152i | ||||
\(298\) | 21.5107 | − | 19.2338i | 1.24608 | − | 1.11419i | ||||
\(299\) | −7.29005 | −0.421594 | ||||||||
\(300\) | 1.37851 | + | 1.76228i | 0.0795885 | + | 0.101745i | ||||
\(301\) | −0.165927 | −0.00956387 | ||||||||
\(302\) | −5.74665 | + | 5.13837i | −0.330682 | + | 0.295680i | ||||
\(303\) | 0.875868 | − | 0.875868i | 0.0503173 | − | 0.0503173i | ||||
\(304\) | 15.4128 | + | 3.49998i | 0.883987 | + | 0.200737i | ||||
\(305\) | 20.0483 | + | 0.0996150i | 1.14796 | + | 0.00570394i | ||||
\(306\) | −1.11876 | + | 20.0202i | −0.0639555 | + | 1.14448i | ||||
\(307\) | 6.28267 | + | 6.28267i | 0.358571 | + | 0.358571i | 0.863286 | − | 0.504715i | \(-0.168402\pi\) |
−0.504715 | + | 0.863286i | \(0.668402\pi\) | |||||||
\(308\) | 14.4837 | + | 18.1414i | 0.825286 | + | 1.03370i | ||||
\(309\) | 2.59927i | 0.147867i | ||||||||
\(310\) | −4.31881 | + | 3.82322i | −0.245292 | + | 0.217144i | ||||
\(311\) | − | 18.7418i | − | 1.06275i | −0.847137 | − | 0.531375i | \(-0.821676\pi\) | ||
0.847137 | − | 0.531375i | \(-0.178324\pi\) | |||||||
\(312\) | 0.515808 | − | 0.366628i | 0.0292019 | − | 0.0207562i | ||||
\(313\) | 4.09503 | + | 4.09503i | 0.231465 | + | 0.231465i | 0.813304 | − | 0.581839i | \(-0.197667\pi\) |
−0.581839 | + | 0.813304i | \(0.697667\pi\) | |||||||
\(314\) | 16.2086 | + | 0.905764i | 0.914703 | + | 0.0511152i | ||||
\(315\) | −14.6282 | + | 14.4836i | −0.824206 | + | 0.816056i | ||||
\(316\) | −3.66007 | + | 32.6460i | −0.205895 | + | 1.83648i | ||||
\(317\) | −10.4527 | + | 10.4527i | −0.587080 | + | 0.587080i | −0.936840 | − | 0.349760i | \(-0.886263\pi\) |
0.349760 | + | 0.936840i | \(0.386263\pi\) | |||||||
\(318\) | 0.0891241 | + | 0.0996745i | 0.00499783 | + | 0.00558947i | ||||
\(319\) | 9.70791 | 0.543538 | ||||||||
\(320\) | −5.96410 | + | 16.8650i | −0.333403 | + | 0.942784i | ||||
\(321\) | 0.118845 | 0.00663327 | ||||||||
\(322\) | −21.4457 | − | 23.9844i | −1.19512 | − | 1.33660i | ||||
\(323\) | 13.4290 | − | 13.4290i | 0.747208 | − | 0.747208i | ||||
\(324\) | 1.90565 | − | 16.9975i | 0.105869 | − | 0.944303i | ||||
\(325\) | 3.50023 | + | 3.57049i | 0.194158 | + | 0.198055i | ||||
\(326\) | 12.2777 | + | 0.686099i | 0.679998 | + | 0.0379995i | ||||
\(327\) | −1.00892 | − | 1.00892i | −0.0557936 | − | 0.0557936i | ||||
\(328\) | −8.95290 | + | 6.36358i | −0.494341 | + | 0.351370i | ||||
\(329\) | 27.9861i | 1.54293i | ||||||||
\(330\) | −0.159876 | + | 2.62663i | −0.00880090 | + | 0.144591i | ||||
\(331\) | − | 12.5857i | − | 0.691771i | −0.938277 | − | 0.345886i | \(-0.887579\pi\) | ||
0.938277 | − | 0.345886i | \(-0.112421\pi\) | |||||||
\(332\) | 2.86909 | + | 3.59365i | 0.157462 | + | 0.197227i | ||||
\(333\) | 21.0621 | + | 21.0621i | 1.15420 | + | 1.15420i | ||||
\(334\) | 1.67200 | − | 29.9203i | 0.0914878 | − | 1.63717i | ||||
\(335\) | 16.6302 | + | 16.7963i | 0.908606 | + | 0.917681i | ||||
\(336\) | 2.72361 | + | 0.618482i | 0.148585 | + | 0.0337409i | ||||
\(337\) | −3.63810 | + | 3.63810i | −0.198180 | + | 0.198180i | −0.799219 | − | 0.601039i | \(-0.794753\pi\) |
0.601039 | + | 0.799219i | \(0.294753\pi\) | |||||||
\(338\) | 1.05424 | − | 0.942648i | 0.0573429 | − | 0.0512733i | ||||
\(339\) | 1.04405 | 0.0567049 | ||||||||
\(340\) | 13.3274 | + | 16.8643i | 0.722779 | + | 0.914593i | ||||
\(341\) | −6.78391 | −0.367369 | ||||||||
\(342\) | −12.2883 | + | 10.9876i | −0.664476 | + | 0.594142i | ||||
\(343\) | −9.40247 | + | 9.40247i | −0.507686 | + | 0.507686i | ||||
\(344\) | 0.0250674 | − | 0.148280i | 0.00135154 | − | 0.00799472i | ||||
\(345\) | 0.0181218 | − | 3.64714i | 0.000975643 | − | 0.196355i | ||||
\(346\) | −1.57977 | + | 28.2698i | −0.0849287 | + | 1.51979i | ||||
\(347\) | 8.53370 | + | 8.53370i | 0.458113 | + | 0.458113i | 0.898036 | − | 0.439923i | \(-0.144994\pi\) |
−0.439923 | + | 0.898036i | \(0.644994\pi\) | |||||||
\(348\) | 0.912768 | − | 0.728733i | 0.0489295 | − | 0.0390642i | ||||
\(349\) | − | 13.3317i | − | 0.713630i | −0.934175 | − | 0.356815i | \(-0.883863\pi\) | ||
0.934175 | − | 0.356815i | \(-0.116137\pi\) | |||||||
\(350\) | −1.45011 | + | 22.0194i | −0.0775118 | + | 1.17699i | ||||
\(351\) | 1.33124i | 0.0710561i | ||||||||
\(352\) | −18.4002 | + | 10.2026i | −0.980732 | + | 0.543800i | ||||
\(353\) | −6.89939 | − | 6.89939i | −0.367217 | − | 0.367217i | 0.499244 | − | 0.866461i | \(-0.333611\pi\) |
−0.866461 | + | 0.499244i | \(0.833611\pi\) | |||||||
\(354\) | 0.345414 | + | 0.0193024i | 0.0183586 | + | 0.00102591i | ||||
\(355\) | 0.139302 | − | 28.0356i | 0.00739338 | − | 1.48797i | ||||
\(356\) | −2.45357 | − | 0.275079i | −0.130039 | − | 0.0145792i | ||||
\(357\) | 2.37304 | − | 2.37304i | 0.125594 | − | 0.125594i | ||||
\(358\) | −13.0612 | − | 14.6073i | −0.690304 | − | 0.772021i | ||||
\(359\) | −36.9920 | −1.95236 | −0.976181 | − | 0.216959i | \(-0.930386\pi\) | ||||
−0.976181 | + | 0.216959i | \(0.930386\pi\) | |||||||
\(360\) | −10.7332 | − | 15.2605i | −0.565690 | − | 0.804301i | ||||
\(361\) | −3.38715 | −0.178271 | ||||||||
\(362\) | −8.10885 | − | 9.06876i | −0.426192 | − | 0.476644i | ||||
\(363\) | −0.448215 | + | 0.448215i | −0.0235252 | + | 0.0235252i | ||||
\(364\) | 6.20266 | + | 0.695403i | 0.325108 | + | 0.0364490i | ||||
\(365\) | −13.7943 | − | 13.9321i | −0.722026 | − | 0.729237i | ||||
\(366\) | 2.83255 | + | 0.158288i | 0.148060 | + | 0.00827384i | ||||
\(367\) | −19.5766 | − | 19.5766i | −1.02189 | − | 1.02189i | −0.999755 | − | 0.0221373i | \(-0.992953\pi\) |
−0.0221373 | − | 0.999755i | \(-0.507047\pi\) | |||||||
\(368\) | 24.6735 | − | 15.5414i | 1.28619 | − | 0.810152i | ||||
\(369\) | − | 11.4559i | − | 0.596373i | ||||||
\(370\) | 31.8714 | + | 1.93993i | 1.65691 | + | 0.100852i | ||||
\(371\) | 1.31875i | 0.0684663i | ||||||||
\(372\) | −0.637845 | + | 0.509241i | −0.0330707 | + | 0.0264029i | ||||
\(373\) | 7.21316 | + | 7.21316i | 0.373483 | + | 0.373483i | 0.868744 | − | 0.495261i | \(-0.164928\pi\) |
−0.495261 | + | 0.868744i | \(0.664928\pi\) | |||||||
\(374\) | −1.41054 | + | 25.2414i | −0.0729372 | + | 1.30520i | ||||
\(375\) | −1.79498 | + | 1.74225i | −0.0926926 | + | 0.0899696i | ||||
\(376\) | −25.0097 | − | 4.22801i | −1.28978 | − | 0.218043i | ||||
\(377\) | 1.84566 | − | 1.84566i | 0.0950562 | − | 0.0950562i | ||||
\(378\) | −4.37980 | + | 3.91620i | −0.225272 | + | 0.201428i | ||||
\(379\) | 8.59778 | 0.441638 | 0.220819 | − | 0.975315i | \(-0.429127\pi\) | ||||
0.220819 | + | 0.975315i | \(0.429127\pi\) | |||||||
\(380\) | −2.05603 | + | 17.5508i | −0.105472 | + | 0.900336i | ||||
\(381\) | 0.620018 | 0.0317645 | ||||||||
\(382\) | −0.484709 | + | 0.433403i | −0.0247999 | + | 0.0221748i | ||||
\(383\) | 4.02733 | − | 4.02733i | 0.205787 | − | 0.205787i | −0.596687 | − | 0.802474i | \(-0.703517\pi\) |
0.802474 | + | 0.596687i | \(0.203517\pi\) | |||||||
\(384\) | −0.964173 | + | 2.34051i | −0.0492028 | + | 0.119438i | ||||
\(385\) | −18.4432 | + | 18.2609i | −0.939954 | + | 0.930660i | ||||
\(386\) | 0.549160 | − | 9.82717i | 0.0279515 | − | 0.500190i | ||||
\(387\) | 0.110906 | + | 0.110906i | 0.00563766 | + | 0.00563766i | ||||
\(388\) | −20.3112 | − | 25.4406i | −1.03115 | − | 1.29155i | ||||
\(389\) | 0.970610i | 0.0492119i | 0.999697 | + | 0.0246059i | \(0.00783310\pi\) | ||||
−0.999697 | + | 0.0246059i | \(0.992167\pi\) | |||||||
\(390\) | 0.468977 | + | 0.529768i | 0.0237476 | + | 0.0268258i | ||||
\(391\) | − | 35.0386i | − | 1.77198i | ||||||
\(392\) | 4.48847 | + | 6.31482i | 0.226702 | + | 0.318947i | ||||
\(393\) | 0.207718 | + | 0.207718i | 0.0104780 | + | 0.0104780i | ||||
\(394\) | −27.7046 | − | 1.54818i | −1.39574 | − | 0.0779964i | ||||
\(395\) | −36.7276 | − | 0.182491i | −1.84797 | − | 0.00918210i | ||||
\(396\) | 2.44483 | − | 21.8067i | 0.122857 | − | 1.09583i | ||||
\(397\) | −12.3155 | + | 12.3155i | −0.618095 | + | 0.618095i | −0.945043 | − | 0.326947i | \(-0.893980\pi\) |
0.326947 | + | 0.945043i | \(0.393980\pi\) | |||||||
\(398\) | 13.4986 | + | 15.0965i | 0.676623 | + | 0.756721i | ||||
\(399\) | 2.75895 | 0.138120 | ||||||||
\(400\) | −19.4585 | − | 4.62247i | −0.972924 | − | 0.231124i | ||||
\(401\) | 25.2740 | 1.26212 | 0.631062 | − | 0.775732i | \(-0.282619\pi\) | ||||
0.631062 | + | 0.775732i | \(0.282619\pi\) | |||||||
\(402\) | 2.22940 | + | 2.49332i | 0.111193 | + | 0.124355i | ||||
\(403\) | −1.28975 | + | 1.28975i | −0.0642471 | + | 0.0642471i | ||||
\(404\) | −1.23364 | + | 11.0035i | −0.0613758 | + | 0.547442i | ||||
\(405\) | 19.1226 | + | 0.0950154i | 0.950207 | + | 0.00472135i | ||||
\(406\) | 11.5018 | + | 0.642740i | 0.570823 | + | 0.0318986i | ||||
\(407\) | 26.5551 | + | 26.5551i | 1.31629 | + | 1.31629i | ||||
\(408\) | 1.76215 | + | 2.47916i | 0.0872394 | + | 0.122737i | ||||
\(409\) | − | 4.10429i | − | 0.202944i | −0.994838 | − | 0.101472i | \(-0.967645\pi\) | ||
0.994838 | − | 0.101472i | \(-0.0323552\pi\) | |||||||
\(410\) | −8.14004 | − | 9.19519i | −0.402008 | − | 0.454118i | ||||
\(411\) | − | 1.00363i | − | 0.0495054i | ||||||
\(412\) | −14.4967 | − | 18.1577i | −0.714199 | − | 0.894564i | ||||
\(413\) | 2.41271 | + | 2.41271i | 0.118722 | + | 0.118722i | ||||
\(414\) | −1.69688 | + | 30.3656i | −0.0833973 | + | 1.49239i | ||||
\(415\) | −3.65343 | + | 3.61731i | −0.179340 | + | 0.177567i | ||||
\(416\) | −1.55851 | + | 5.43793i | −0.0764123 | + | 0.266616i | ||||
\(417\) | 3.00363 | − | 3.00363i | 0.147089 | − | 0.147089i | ||||
\(418\) | −15.4931 | + | 13.8532i | −0.757793 | + | 0.677582i | ||||
\(419\) | 17.3311 | 0.846680 | 0.423340 | − | 0.905971i | \(-0.360858\pi\) | ||||
0.423340 | + | 0.905971i | \(0.360858\pi\) | |||||||
\(420\) | −0.363322 | + | 3.10140i | −0.0177283 | + | 0.151333i | ||||
\(421\) | −34.0343 | −1.65873 | −0.829364 | − | 0.558708i | \(-0.811297\pi\) | ||||
−0.829364 | + | 0.558708i | \(0.811297\pi\) | |||||||
\(422\) | 22.9844 | − | 20.5515i | 1.11886 | − | 1.00043i | ||||
\(423\) | 18.7060 | − | 18.7060i | 0.909517 | − | 0.909517i | ||||
\(424\) | −1.17850 | − | 0.199231i | −0.0572330 | − | 0.00967550i | ||||
\(425\) | −17.1611 | + | 16.8234i | −0.832435 | + | 0.816053i | ||||
\(426\) | 0.221351 | − | 3.96105i | 0.0107245 | − | 0.191913i | ||||
\(427\) | 19.7853 | + | 19.7853i | 0.957477 | + | 0.957477i | ||||
\(428\) | −0.830212 | + | 0.662823i | −0.0401298 | + | 0.0320387i | ||||
\(429\) | 0.832151i | 0.0401766i | ||||||||
\(430\) | 0.167824 | + | 0.0102150i | 0.00809318 | + | 0.000492611i | ||||
\(431\) | 11.8497i | 0.570781i | 0.958411 | + | 0.285390i | \(0.0921232\pi\) | ||||
−0.958411 | + | 0.285390i | \(0.907877\pi\) | |||||||
\(432\) | −2.83802 | − | 4.50563i | −0.136544 | − | 0.216777i | ||||
\(433\) | −9.87468 | − | 9.87468i | −0.474547 | − | 0.474547i | 0.428836 | − | 0.903382i | \(-0.358924\pi\) |
−0.903382 | + | 0.428836i | \(0.858924\pi\) | |||||||
\(434\) | −8.03746 | − | 0.449148i | −0.385811 | − | 0.0215598i | ||||
\(435\) | 0.918777 | + | 0.927953i | 0.0440520 | + | 0.0444919i | ||||
\(436\) | 12.6750 | + | 1.42104i | 0.607023 | + | 0.0680556i | ||||
\(437\) | 20.3684 | − | 20.3684i | 0.974351 | − | 0.974351i | ||||
\(438\) | −1.84923 | − | 2.06814i | −0.0883594 | − | 0.0988193i | ||||
\(439\) | 13.8583 | 0.661418 | 0.330709 | − | 0.943733i | \(-0.392712\pi\) | ||||
0.330709 | + | 0.943733i | \(0.392712\pi\) | |||||||
\(440\) | −13.5324 | − | 19.2405i | −0.645134 | − | 0.917254i | ||||
\(441\) | −8.08032 | −0.384777 | ||||||||
\(442\) | 4.53071 | + | 5.06705i | 0.215504 | + | 0.241015i | ||||
\(443\) | 7.77783 | − | 7.77783i | 0.369536 | − | 0.369536i | −0.497772 | − | 0.867308i | \(-0.665848\pi\) |
0.867308 | + | 0.497772i | \(0.165848\pi\) | |||||||
\(444\) | 4.49018 | + | 0.503411i | 0.213094 | + | 0.0238908i | ||||
\(445\) | 0.0137154 | − | 2.76033i | 0.000650173 | − | 0.130852i | ||||
\(446\) | 25.1502 | + | 1.40544i | 1.19090 | + | 0.0665494i | ||||
\(447\) | 3.22808 | + | 3.22808i | 0.152683 | + | 0.152683i | ||||
\(448\) | −22.4757 | + | 10.8696i | −1.06188 | + | 0.513542i | ||||
\(449\) | 27.3178i | 1.28921i | 0.764516 | + | 0.644604i | \(0.222978\pi\) | ||||
−0.764516 | + | 0.644604i | \(0.777022\pi\) | |||||||
\(450\) | 15.6871 | − | 13.7486i | 0.739496 | − | 0.648113i | ||||
\(451\) | − | 14.4437i | − | 0.680125i | ||||||
\(452\) | −7.29339 | + | 5.82288i | −0.343052 | + | 0.273885i | ||||
\(453\) | −0.862390 | − | 0.862390i | −0.0405186 | − | 0.0405186i | ||||
\(454\) | −0.893271 | + | 15.9850i | −0.0419233 | + | 0.750213i | ||||
\(455\) | −0.0346727 | + | 6.97815i | −0.00162548 | + | 0.327141i | ||||
\(456\) | −0.416809 | + | 2.46553i | −0.0195189 | + | 0.115459i | ||||
\(457\) | −29.4423 | + | 29.4423i | −1.37725 | + | 1.37725i | −0.528016 | + | 0.849234i | \(0.677064\pi\) |
−0.849234 | + | 0.528016i | \(0.822936\pi\) | |||||||
\(458\) | −21.5858 | + | 19.3010i | −1.00864 | + | 0.901876i | ||||
\(459\) | −6.39841 | −0.298652 | ||||||||
\(460\) | 20.2143 | + | 25.5789i | 0.942496 | + | 1.19262i | ||||
\(461\) | 11.5928 | 0.539932 | 0.269966 | − | 0.962870i | \(-0.412988\pi\) | ||||
0.269966 | + | 0.962870i | \(0.412988\pi\) | |||||||
\(462\) | −2.73779 | + | 2.44800i | −0.127374 | + | 0.113891i | ||||
\(463\) | −14.0309 | + | 14.0309i | −0.652069 | + | 0.652069i | −0.953491 | − | 0.301422i | \(-0.902539\pi\) |
0.301422 | + | 0.953491i | \(0.402539\pi\) | |||||||
\(464\) | −2.31201 | + | 10.1814i | −0.107332 | + | 0.472660i | ||||
\(465\) | −0.642044 | − | 0.648456i | −0.0297741 | − | 0.0300714i | ||||
\(466\) | −0.545360 | + | 9.75917i | −0.0252633 | + | 0.452085i | ||||
\(467\) | 1.57290 | + | 1.57290i | 0.0727851 | + | 0.0727851i | 0.742562 | − | 0.669777i | \(-0.233610\pi\) |
−0.669777 | + | 0.742562i | \(0.733610\pi\) | |||||||
\(468\) | −3.68106 | − | 4.61068i | −0.170157 | − | 0.213129i | ||||
\(469\) | 32.9881i | 1.52325i | ||||||||
\(470\) | 1.72292 | − | 28.3061i | 0.0794723 | − | 1.30566i | ||||
\(471\) | 2.56832i | 0.118342i | ||||||||
\(472\) | −2.52061 | + | 1.79161i | −0.116021 | + | 0.0824655i | ||||
\(473\) | 0.139830 | + | 0.139830i | 0.00642940 | + | 0.00642940i | ||||
\(474\) | −5.18912 | − | 0.289977i | −0.238344 | − | 0.0133191i | ||||
\(475\) | −19.7556 | − | 0.196326i | −0.906448 | − | 0.00900807i | ||||
\(476\) | −3.34236 | + | 29.8122i | −0.153197 | + | 1.36644i | ||||
\(477\) | 0.881457 | − | 0.881457i | 0.0403592 | − | 0.0403592i | ||||
\(478\) | 11.7217 | + | 13.1093i | 0.536139 | + | 0.599607i | ||||
\(479\) | 20.3724 | 0.930838 | 0.465419 | − | 0.885091i | \(-0.345904\pi\) | ||||
0.465419 | + | 0.885091i | \(0.345904\pi\) | |||||||
\(480\) | −2.71667 | − | 0.793226i | −0.123998 | − | 0.0362057i | ||||
\(481\) | 10.0973 | 0.460395 | ||||||||
\(482\) | −15.8288 | − | 17.7026i | −0.720984 | − | 0.806333i | ||||
\(483\) | 3.59930 | − | 3.59930i | 0.163774 | − | 0.163774i | ||||
\(484\) | 0.631299 | − | 5.63088i | 0.0286954 | − | 0.255949i | ||||
\(485\) | 25.8639 | − | 25.6081i | 1.17442 | − | 1.16280i | ||||
\(486\) | 8.34092 | + | 0.466106i | 0.378352 | + | 0.0211430i | ||||
\(487\) | −4.34315 | − | 4.34315i | −0.196807 | − | 0.196807i | 0.601823 | − | 0.798630i | \(-0.294441\pi\) |
−0.798630 | + | 0.601823i | \(0.794441\pi\) | |||||||
\(488\) | −20.6701 | + | 14.6920i | −0.935692 | + | 0.665075i | ||||
\(489\) | 1.94545i | 0.0879765i | ||||||||
\(490\) | −6.48572 | + | 5.74148i | −0.292995 | + | 0.259374i | ||||
\(491\) | − | 15.6199i | − | 0.704915i | −0.935828 | − | 0.352457i | \(-0.885346\pi\) | ||
0.935828 | − | 0.352457i | \(-0.114654\pi\) | |||||||
\(492\) | −1.08423 | − | 1.35804i | −0.0488807 | − | 0.0612251i | ||||
\(493\) | 8.87090 | + | 8.87090i | 0.399525 | + | 0.399525i | ||||
\(494\) | −0.311781 | + | 5.57929i | −0.0140277 | + | 0.251024i | ||||
\(495\) | 24.5331 | + | 0.121899i | 1.10268 | + | 0.00547896i | ||||
\(496\) | 1.61564 | − | 7.11480i | 0.0725444 | − | 0.319464i | ||||
\(497\) | 27.6678 | − | 27.6678i | 1.24107 | − | 1.24107i | ||||
\(498\) | −0.542331 | + | 0.484926i | −0.0243024 | + | 0.0217301i | ||||
\(499\) | 30.6893 | 1.37384 | 0.686921 | − | 0.726732i | \(-0.258962\pi\) | ||||
0.686921 | + | 0.726732i | \(0.258962\pi\) | |||||||
\(500\) | 2.82228 | − | 22.1819i | 0.126216 | − | 0.992003i | ||||
\(501\) | 4.74100 | 0.211812 | ||||||||
\(502\) | 13.5830 | − | 12.1453i | 0.606239 | − | 0.542070i | ||||
\(503\) | 27.4226 | − | 27.4226i | 1.22272 | − | 1.22272i | 0.256052 | − | 0.966663i | \(-0.417578\pi\) |
0.966663 | − | 0.256052i | \(-0.0824219\pi\) | |||||||
\(504\) | 4.34037 | − | 25.6744i | 0.193336 | − | 1.14363i | ||||
\(505\) | −12.3792 | − | 0.0615091i | −0.550865 | − | 0.00273712i | ||||
\(506\) | −2.13943 | + | 38.2849i | −0.0951093 | + | 1.70197i | ||||
\(507\) | 0.158208 | + | 0.158208i | 0.00702625 | + | 0.00702625i | ||||
\(508\) | −4.33125 | + | 3.45797i | −0.192168 | + | 0.153423i | ||||
\(509\) | 0.576260i | 0.0255423i | 0.999918 | + | 0.0127711i | \(0.00406529\pi\) | ||||
−0.999918 | + | 0.0127711i | \(0.995935\pi\) | |||||||
\(510\) | −2.54626 | + | 2.25407i | −0.112750 | + | 0.0998121i | ||||
\(511\) | − | 27.3627i | − | 1.21045i | ||||||
\(512\) | −6.31809 | − | 21.7274i | −0.279223 | − | 0.960226i | ||||
\(513\) | −3.71947 | − | 3.71947i | −0.164219 | − | 0.164219i | ||||
\(514\) | 30.1304 | + | 1.68374i | 1.32899 | + | 0.0742666i | ||||
\(515\) | 18.4597 | − | 18.2772i | 0.813433 | − | 0.805389i | ||||
\(516\) | 0.0236438 | + | 0.00265079i | 0.00104086 | + | 0.000116695i | ||||
\(517\) | 23.5845 | − | 23.5845i | 1.03725 | − | 1.03725i | ||||
\(518\) | 29.7039 | + | 33.2202i | 1.30511 | + | 1.45961i | ||||
\(519\) | −4.47947 | −0.196627 | ||||||||
\(520\) | −6.23076 | − | 1.08521i | −0.273237 | − | 0.0475896i | ||||
\(521\) | 9.21378 | 0.403663 | 0.201832 | − | 0.979420i | \(-0.435311\pi\) | ||||
0.201832 | + | 0.979420i | \(0.435311\pi\) | |||||||
\(522\) | −7.25820 | − | 8.11741i | −0.317683 | − | 0.355290i | ||||
\(523\) | 4.26927 | − | 4.26927i | 0.186682 | − | 0.186682i | −0.607578 | − | 0.794260i | \(-0.707859\pi\) |
0.794260 | + | 0.607578i | \(0.207859\pi\) | |||||||
\(524\) | −2.60954 | − | 0.292566i | −0.113998 | − | 0.0127808i | ||||
\(525\) | −3.49101 | − | 0.0346929i | −0.152360 | − | 0.00151412i | ||||
\(526\) | −19.4204 | − | 1.08525i | −0.846769 | − | 0.0473190i | ||||
\(527\) | −6.19901 | − | 6.19901i | −0.270033 | − | 0.270033i | ||||
\(528\) | −1.77404 | − | 2.81645i | −0.0772050 | − | 0.122570i | ||||
\(529\) | − | 30.1448i | − | 1.31064i | ||||||
\(530\) | 0.0811868 | − | 1.33383i | 0.00352653 | − | 0.0579378i | ||||
\(531\) | − | 3.22532i | − | 0.139967i | ||||||
\(532\) | −19.2732 | + | 15.3873i | −0.835598 | + | 0.667122i | ||||
\(533\) | −2.74601 | − | 2.74601i | −0.118943 | − | 0.118943i | ||||
\(534\) | 0.0217938 | − | 0.389997i | 0.000943108 | − | 0.0168768i | ||||
\(535\) | −0.835678 | − | 0.844024i | −0.0361295 | − | 0.0364903i | ||||
\(536\) | −29.4797 | − | 4.98368i | −1.27333 | − | 0.215262i | ||||
\(537\) | 2.19210 | − | 2.19210i | 0.0945960 | − | 0.0945960i | ||||
\(538\) | −4.63748 | + | 4.14661i | −0.199936 | + | 0.178773i | ||||
\(539\) | −10.1877 | −0.438814 | ||||||||
\(540\) | 4.67096 | − | 3.69133i | 0.201006 | − | 0.158850i | ||||
\(541\) | −27.1373 | −1.16672 | −0.583362 | − | 0.812212i | \(-0.698263\pi\) | ||||
−0.583362 | + | 0.812212i | \(0.698263\pi\) | |||||||
\(542\) | 26.8218 | − | 23.9827i | 1.15209 | − | 1.03015i | ||||
\(543\) | 1.36093 | − | 1.36093i | 0.0584033 | − | 0.0584033i | ||||
\(544\) | −26.1367 | − | 7.49078i | −1.12060 | − | 0.321164i | ||||
\(545\) | −0.0708531 | + | 14.2597i | −0.00303501 | + | 0.610819i | ||||
\(546\) | −0.0550949 | + | 0.985918i | −0.00235784 | + | 0.0421934i | ||||
\(547\) | 24.4699 | + | 24.4699i | 1.04626 | + | 1.04626i | 0.998877 | + | 0.0473783i | \(0.0150866\pi\) |
0.0473783 | + | 0.998877i | \(0.484913\pi\) | |||||||
\(548\) | 5.59746 | + | 7.01104i | 0.239112 | + | 0.299497i | ||||
\(549\) | − | 26.4491i | − | 1.12882i | ||||||
\(550\) | 19.7783 | − | 17.3342i | 0.843348 | − | 0.739132i | ||||
\(551\) | 10.3135i | 0.439371i | ||||||||
\(552\) | 2.67274 | + | 3.76027i | 0.113759 | + | 0.160048i | ||||
\(553\) | −36.2459 | − | 36.2459i | −1.54133 | − | 1.54133i | ||||
\(554\) | −3.11933 | − | 0.174314i | −0.132528 | − | 0.00740590i | ||||
\(555\) | −0.0251000 | + | 5.05156i | −0.00106544 | + | 0.214427i | ||||
\(556\) | −4.23054 | + | 37.7344i | −0.179415 | + | 1.60029i | ||||
\(557\) | −12.4542 | + | 12.4542i | −0.527702 | + | 0.527702i | −0.919886 | − | 0.392185i | \(-0.871719\pi\) |
0.392185 | + | 0.919886i | \(0.371719\pi\) | |||||||
\(558\) | 5.07205 | + | 5.67247i | 0.214717 | + | 0.240135i | ||||
\(559\) | 0.0531687 | 0.00224880 | ||||||||
\(560\) | −14.7591 | − | 23.6918i | −0.623687 | − | 1.00116i | ||||
\(561\) | −3.99962 | −0.168864 | ||||||||
\(562\) | 1.89227 | + | 2.11628i | 0.0798206 | + | 0.0892697i | ||||
\(563\) | −10.1639 | + | 10.1639i | −0.428355 | + | 0.428355i | −0.888068 | − | 0.459712i | \(-0.847952\pi\) |
0.459712 | + | 0.888068i | \(0.347952\pi\) | |||||||
\(564\) | 0.447097 | − | 3.98789i | 0.0188262 | − | 0.167920i | ||||
\(565\) | −7.34140 | − | 7.41472i | −0.308855 | − | 0.311940i | ||||
\(566\) | −24.8529 | − | 1.38882i | −1.04464 | − | 0.0583766i | ||||
\(567\) | 18.8717 | + | 18.8717i | 0.792538 | + | 0.792538i | ||||
\(568\) | 20.5453 | + | 28.9052i | 0.862063 | + | 1.21283i | ||||
\(569\) | − | 22.9141i | − | 0.960611i | −0.877101 | − | 0.480305i | \(-0.840526\pi\) | ||
0.877101 | − | 0.480305i | \(-0.159474\pi\) | |||||||
\(570\) | −2.79049 | − | 0.169850i | −0.116881 | − | 0.00711424i | ||||
\(571\) | − | 9.44141i | − | 0.395111i | −0.980292 | − | 0.197555i | \(-0.936700\pi\) | ||
0.980292 | − | 0.197555i | \(-0.0633002\pi\) | |||||||
\(572\) | −4.64108 | − | 5.81315i | −0.194053 | − | 0.243060i | ||||
\(573\) | −0.0727395 | − | 0.0727395i | −0.00303874 | − | 0.00303874i | ||||
\(574\) | 0.956283 | − | 17.1126i | 0.0399145 | − | 0.714266i | ||||
\(575\) | −26.0291 | + | 25.5168i | −1.08549 | + | 1.06412i | ||||
\(576\) | 22.2881 | + | 7.75751i | 0.928670 | + | 0.323230i | ||||
\(577\) | 19.0322 | − | 19.0322i | 0.792322 | − | 0.792322i | −0.189549 | − | 0.981871i | \(-0.560703\pi\) |
0.981871 | + | 0.189549i | \(0.0607027\pi\) | |||||||
\(578\) | −6.43205 | + | 5.75123i | −0.267538 | + | 0.239219i | ||||
\(579\) | 1.55716 | 0.0647133 | ||||||||
\(580\) | −11.5937 | − | 1.35817i | −0.481401 | − | 0.0563951i | ||||
\(581\) | −7.17537 | −0.297684 | ||||||||
\(582\) | 3.83934 | − | 3.43295i | 0.159146 | − | 0.142301i | ||||
\(583\) | 1.11134 | − | 1.11134i | 0.0460271 | − | 0.0460271i | ||||
\(584\) | 24.4526 | + | 4.13382i | 1.01185 | + | 0.171059i | ||||
\(585\) | 4.68738 | − | 4.64103i | 0.193799 | − | 0.191883i | ||||
\(586\) | −0.231153 | + | 4.13646i | −0.00954883 | + | 0.170875i | ||||
\(587\) | 5.91988 | + | 5.91988i | 0.244340 | + | 0.244340i | 0.818643 | − | 0.574303i | \(-0.194727\pi\) |
−0.574303 | + | 0.818643i | \(0.694727\pi\) | |||||||
\(588\) | −0.957876 | + | 0.764747i | −0.0395021 | + | 0.0315376i | ||||
\(589\) | − | 7.20712i | − | 0.296964i | ||||||
\(590\) | −2.29176 | − | 2.58883i | −0.0943502 | − | 0.106580i | ||||
\(591\) | − | 4.38992i | − | 0.180577i | ||||||
\(592\) | −34.1746 | + | 21.5260i | −1.40457 | + | 0.884714i | ||||
\(593\) | 0.153391 | + | 0.153391i | 0.00629903 | + | 0.00629903i | 0.710249 | − | 0.703950i | \(-0.248582\pi\) |
−0.703950 | + | 0.710249i | \(0.748582\pi\) | |||||||
\(594\) | 6.99121 | + | 0.390682i | 0.286853 | + | 0.0160299i | ||||
\(595\) | −33.5395 | − | 0.166650i | −1.37499 | − | 0.00683198i | ||||
\(596\) | −40.5540 | − | 4.54666i | −1.66116 | − | 0.186238i | ||||
\(597\) | −2.26551 | + | 2.26551i | −0.0927212 | + | 0.0927212i | ||||
\(598\) | 6.87194 | + | 7.68544i | 0.281015 | + | 0.314281i | ||||
\(599\) | −10.5262 | −0.430090 | −0.215045 | − | 0.976604i | \(-0.568990\pi\) | ||||
−0.215045 | + | 0.976604i | \(0.568990\pi\) | |||||||
\(600\) | 0.558408 | − | 3.11449i | 0.0227969 | − | 0.127149i | ||||
\(601\) | 8.71802 | 0.355615 | 0.177808 | − | 0.984065i | \(-0.443100\pi\) | ||||
0.177808 | + | 0.984065i | \(0.443100\pi\) | |||||||
\(602\) | 0.156411 | + | 0.174926i | 0.00637482 | + | 0.00712946i | ||||
\(603\) | 22.0493 | − | 22.0493i | 0.897917 | − | 0.897917i | ||||
\(604\) | 10.8341 | + | 1.21465i | 0.440834 | + | 0.0494236i | ||||
\(605\) | 6.33488 | + | 0.0314765i | 0.257550 | + | 0.00127970i | ||||
\(606\) | −1.74901 | − | 0.0977377i | −0.0710486 | − | 0.00397032i | ||||
\(607\) | 11.7759 | + | 11.7759i | 0.477969 | + | 0.477969i | 0.904482 | − | 0.426512i | \(-0.140258\pi\) |
−0.426512 | + | 0.904482i | \(0.640258\pi\) | |||||||
\(608\) | −10.8391 | − | 19.5480i | −0.439583 | − | 0.792777i | ||||
\(609\) | 1.82251i | 0.0738517i | ||||||||
\(610\) | −18.7934 | − | 21.2295i | −0.760923 | − | 0.859558i | ||||
\(611\) | − | 8.96773i | − | 0.362796i | ||||||
\(612\) | 22.1606 | − | 17.6925i | 0.895790 | − | 0.715178i | ||||
\(613\) | 11.0213 | + | 11.0213i | 0.445145 | + | 0.445145i | 0.893737 | − | 0.448592i | \(-0.148074\pi\) |
−0.448592 | + | 0.893737i | \(0.648074\pi\) | |||||||
\(614\) | 0.701080 | − | 12.5458i | 0.0282933 | − | 0.506306i | ||||
\(615\) | 1.38063 | − | 1.36698i | 0.0556724 | − | 0.0551219i | ||||
\(616\) | 5.47234 | − | 32.3702i | 0.220487 | − | 1.30423i | ||||
\(617\) | −7.98214 | + | 7.98214i | −0.321349 | + | 0.321349i | −0.849284 | − | 0.527936i | \(-0.822966\pi\) |
0.527936 | + | 0.849284i | \(0.322966\pi\) | |||||||
\(618\) | 2.74024 | − | 2.45019i | 0.110229 | − | 0.0985612i | ||||
\(619\) | −36.9943 | −1.48693 | −0.743464 | − | 0.668776i | \(-0.766819\pi\) | ||||
−0.743464 | + | 0.668776i | \(0.766819\pi\) | |||||||
\(620\) | 8.10170 | + | 0.949095i | 0.325372 | + | 0.0381166i | ||||
\(621\) | −9.70477 | −0.389439 | ||||||||
\(622\) | −19.7583 | + | 17.6669i | −0.792235 | + | 0.708378i | ||||
\(623\) | 2.72412 | − | 2.72412i | 0.109140 | − | 0.109140i | ||||
\(624\) | −0.872739 | − | 0.198183i | −0.0349375 | − | 0.00793367i | ||||
\(625\) | 24.9951 | + | 0.496839i | 0.999803 | + | 0.0198736i | ||||
\(626\) | 0.456962 | − | 8.17730i | 0.0182639 | − | 0.326831i | ||||
\(627\) | −2.32503 | − | 2.32503i | −0.0928526 | − | 0.0928526i | ||||
\(628\) | −14.3241 | − | 17.9415i | −0.571593 | − | 0.715943i | ||||
\(629\) | 48.5311i | 1.93506i | ||||||||
\(630\) | 29.0583 | + | 1.76871i | 1.15771 | + | 0.0704670i | ||||
\(631\) | 16.5387i | 0.658396i | 0.944261 | + | 0.329198i | \(0.106778\pi\) | ||||
−0.944261 | + | 0.329198i | \(0.893222\pi\) | |||||||
\(632\) | 37.8668 | − | 26.9151i | 1.50626 | − | 1.07063i | ||||
\(633\) | 3.44923 | + | 3.44923i | 0.137095 | + | 0.137095i | ||||
\(634\) | 20.8728 | + | 1.16641i | 0.828963 | + | 0.0463240i | ||||
\(635\) | −4.35976 | − | 4.40331i | −0.173012 | − | 0.174740i | ||||
\(636\) | 0.0210679 | − | 0.187916i | 0.000835398 | − | 0.00745134i | ||||
\(637\) | −1.93687 | + | 1.93687i | −0.0767415 | + | 0.0767415i | ||||
\(638\) | −9.15114 | − | 10.2344i | −0.362297 | − | 0.405185i | ||||
\(639\) | −36.9865 | −1.46316 | ||||||||
\(640\) | 23.4018 | − | 9.61021i | 0.925037 | − | 0.379877i | ||||
\(641\) | 31.3698 | 1.23903 | 0.619516 | − | 0.784984i | \(-0.287329\pi\) | ||||
0.619516 | + | 0.784984i | \(0.287329\pi\) | |||||||
\(642\) | −0.112029 | − | 0.125291i | −0.00442142 | − | 0.00494482i | ||||
\(643\) | 6.29933 | − | 6.29933i | 0.248421 | − | 0.248421i | −0.571901 | − | 0.820323i | \(-0.693794\pi\) |
0.820323 | + | 0.571901i | \(0.193794\pi\) | |||||||
\(644\) | −5.06952 | + | 45.2177i | −0.199767 | + | 1.78183i | ||||
\(645\) | −0.000132168 | 0.0265998i | −5.20411e−6 | 0.00104737i | ||||||
\(646\) | −26.8161 | − | 1.49853i | −1.05507 | − | 0.0589590i | ||||
\(647\) | −21.4178 | − | 21.4178i | −0.842019 | − | 0.842019i | 0.147102 | − | 0.989121i | \(-0.453005\pi\) |
−0.989121 | + | 0.147102i | \(0.953005\pi\) | |||||||
\(648\) | −19.7157 | + | 14.0136i | −0.774506 | + | 0.550506i | ||||
\(649\) | − | 4.06649i | − | 0.159624i | ||||||
\(650\) | 0.464667 | − | 7.05578i | 0.0182257 | − | 0.276751i | ||||
\(651\) | − | 1.27357i | − | 0.0499152i | ||||||
\(652\) | −10.8502 | − | 13.5903i | −0.424927 | − | 0.532239i | ||||
\(653\) | 20.3186 | + | 20.3186i | 0.795129 | + | 0.795129i | 0.982323 | − | 0.187194i | \(-0.0599393\pi\) |
−0.187194 | + | 0.982323i | \(0.559939\pi\) | |||||||
\(654\) | −0.112585 | + | 2.01470i | −0.00440244 | + | 0.0787812i | ||||
\(655\) | 0.0145873 | − | 2.93580i | 0.000569973 | − | 0.114711i | ||||
\(656\) | 15.1481 | + | 3.43987i | 0.591436 | + | 0.134304i | ||||
\(657\) | −18.2893 | + | 18.2893i | −0.713533 | + | 0.713533i | ||||
\(658\) | 29.5040 | − | 26.3811i | 1.15019 | − | 1.02844i | ||||
\(659\) | −8.42213 | −0.328080 | −0.164040 | − | 0.986454i | \(-0.552453\pi\) | ||||
−0.164040 | + | 0.986454i | \(0.552453\pi\) | |||||||
\(660\) | 2.91980 | − | 2.30744i | 0.113653 | − | 0.0898169i | ||||
\(661\) | −37.3044 | −1.45097 | −0.725487 | − | 0.688236i | \(-0.758385\pi\) | ||||
−0.725487 | + | 0.688236i | \(0.758385\pi\) | |||||||
\(662\) | −13.2683 | + | 11.8639i | −0.515687 | + | 0.461102i | ||||
\(663\) | −0.760404 | + | 0.760404i | −0.0295316 | + | 0.0295316i | ||||
\(664\) | 1.08402 | − | 6.41224i | 0.0420681 | − | 0.248843i | ||||
\(665\) | −19.4000 | − | 19.5938i | −0.752302 | − | 0.759815i | ||||
\(666\) | 2.35031 | − | 42.0586i | 0.0910727 | − | 1.62974i | ||||
\(667\) | 13.4549 | + | 13.4549i | 0.520977 | + | 0.520977i | ||||
\(668\) | −33.1192 | + | 26.4416i | −1.28142 | + | 1.02306i | ||||
\(669\) | 3.98516i | 0.154075i | ||||||||
\(670\) | 2.03086 | − | 33.3652i | 0.0784588 | − | 1.28901i | ||||
\(671\) | − | 33.3470i | − | 1.28735i | ||||||
\(672\) | −1.91538 | − | 3.45434i | −0.0738872 | − | 0.133254i | ||||
\(673\) | 25.8606 | + | 25.8606i | 0.996852 | + | 0.996852i | 0.999995 | − | 0.00314279i | \(-0.00100038\pi\) |
−0.00314279 | + | 0.999995i | \(0.501000\pi\) | |||||||
\(674\) | 7.26487 | + | 0.405974i | 0.279832 | + | 0.0156375i | ||||
\(675\) | 4.65963 | + | 4.75317i | 0.179349 | + | 0.182950i | ||||
\(676\) | −1.98755 | − | 0.222831i | −0.0764441 | − | 0.00857044i | ||||
\(677\) | −5.32981 | + | 5.32981i | −0.204841 | + | 0.204841i | −0.802071 | − | 0.597229i | \(-0.796268\pi\) |
0.597229 | + | 0.802071i | \(0.296268\pi\) | |||||||
\(678\) | −0.984168 | − | 1.10067i | −0.0377968 | − | 0.0422711i | ||||
\(679\) | 50.7968 | 1.94940 | ||||||||
\(680\) | 5.21591 | − | 29.9473i | 0.200021 | − | 1.14843i | ||||
\(681\) | −2.53290 | −0.0970608 | ||||||||
\(682\) | 6.39484 | + | 7.15185i | 0.244871 | + | 0.273859i | ||||
\(683\) | −27.1424 | + | 27.1424i | −1.03858 | + | 1.03858i | −0.0393508 | + | 0.999225i | \(0.512529\pi\) |
−0.999225 | + | 0.0393508i | \(0.987471\pi\) | |||||||
\(684\) | 23.1671 | + | 2.59735i | 0.885817 | + | 0.0993122i | ||||
\(685\) | −7.12768 | + | 7.05720i | −0.272335 | + | 0.269642i | ||||
\(686\) | 18.7757 | + | 1.04922i | 0.716858 | + | 0.0400593i | ||||
\(687\) | −3.23935 | − | 3.23935i | −0.123589 | − | 0.123589i | ||||
\(688\) | −0.179952 | + | 0.113349i | −0.00686060 | + | 0.00432138i | ||||
\(689\) | − | 0.422574i | − | 0.0160988i | ||||||
\(690\) | −3.86203 | + | 3.41886i | −0.147025 | + | 0.130154i | ||||
\(691\) | − | 37.3273i | − | 1.42000i | −0.704203 | − | 0.709999i | \(-0.748695\pi\) | ||
0.704203 | − | 0.709999i | \(-0.251305\pi\) | |||||||
\(692\) | 31.2922 | − | 24.9830i | 1.18955 | − | 0.949710i | ||||
\(693\) | 24.2113 | + | 24.2113i | 0.919711 | + | 0.919711i | ||||
\(694\) | 0.952272 | − | 17.0408i | 0.0361477 | − | 0.646861i | ||||
\(695\) | −42.4521 | − | 0.210934i | −1.61030 | − | 0.00800119i | ||||
\(696\) | −1.62868 | − | 0.275335i | −0.0617348 | − | 0.0104366i | ||||
\(697\) | 13.1983 | − | 13.1983i | 0.499923 | − | 0.499923i | ||||
\(698\) | −14.0548 | + | 12.5671i | −0.531981 | + | 0.475672i | ||||
\(699\) | −1.54638 | −0.0584896 | ||||||||
\(700\) | 24.5806 | − | 19.2278i | 0.929060 | − | 0.726742i | ||||
\(701\) | −50.6132 | −1.91164 | −0.955818 | − | 0.293960i | \(-0.905027\pi\) | ||||
−0.955818 | + | 0.293960i | \(0.905027\pi\) | |||||||
\(702\) | 1.40344 | − | 1.25489i | 0.0529694 | − | 0.0473626i | ||||
\(703\) | −28.2117 | + | 28.2117i | −1.06403 | + | 1.06403i | ||||
\(704\) | 28.1008 | + | 9.78067i | 1.05909 | + | 0.368623i | ||||
\(705\) | 4.48647 | + | 0.0222922i | 0.168970 | + | 0.000839573i | ||||
\(706\) | −0.769900 | + | 13.7773i | −0.0289756 | + | 0.518515i | ||||
\(707\) | −12.2168 | − | 12.2168i | −0.459459 | − | 0.459459i | ||||
\(708\) | −0.305255 | − | 0.382344i | −0.0114722 | − | 0.0143694i | ||||
\(709\) | 22.5087i | 0.845331i | 0.906286 | + | 0.422665i | \(0.138905\pi\) | ||||
−0.906286 | + | 0.422665i | \(0.861095\pi\) | |||||||
\(710\) | −29.6874 | + | 26.2808i | −1.11415 | + | 0.986301i | ||||
\(711\) | 48.4536i | 1.81715i | ||||||||
\(712\) | 2.02286 | + | 2.84595i | 0.0758097 | + | 0.106656i | ||||
\(713\) | −9.40234 | − | 9.40234i | −0.352120 | − | 0.352120i | ||||
\(714\) | −4.73868 | − | 0.264806i | −0.177341 | − | 0.00991012i | ||||
\(715\) | 5.90985 | − | 5.85141i | 0.221016 | − | 0.218830i | ||||
\(716\) | −3.08751 | + | 27.5391i | −0.115386 | + | 1.02919i | ||||
\(717\) | −1.96730 | + | 1.96730i | −0.0734701 | + | 0.0734701i | ||||
\(718\) | 34.8704 | + | 38.9983i | 1.30135 | + | 1.45540i | ||||
\(719\) | −30.0831 | −1.12191 | −0.560955 | − | 0.827847i | \(-0.689566\pi\) | ||||
−0.560955 | + | 0.827847i | \(0.689566\pi\) | |||||||
\(720\) | −5.97059 | + | 25.7007i | −0.222511 | + | 0.957807i | ||||
\(721\) | 36.2551 | 1.35021 | ||||||||
\(722\) | 3.19289 | + | 3.57086i | 0.118827 | + | 0.132894i | ||||
\(723\) | 2.65661 | − | 2.65661i | 0.0988002 | − | 0.0988002i | ||||
\(724\) | −1.91684 | + | 17.0973i | −0.0712388 | + | 0.635416i | ||||
\(725\) | 0.129689 | − | 13.0501i | 0.00481653 | − | 0.484670i | ||||
\(726\) | 0.895034 | + | 0.0500161i | 0.0332178 | + | 0.00185627i | ||||
\(727\) | 25.6595 | + | 25.6595i | 0.951656 | + | 0.951656i | 0.998884 | − | 0.0472278i | \(-0.0150387\pi\) |
−0.0472278 | + | 0.998884i | \(0.515039\pi\) | |||||||
\(728\) | −5.11380 | − | 7.19459i | −0.189530 | − | 0.266649i | ||||
\(729\) | − | 24.3343i | − | 0.901269i | ||||||
\(730\) | −1.68454 | + | 27.6755i | −0.0623475 | + | 1.02432i | ||||
\(731\) | 0.255548i | 0.00945180i | ||||||||
\(732\) | −2.50322 | − | 3.13539i | −0.0925217 | − | 0.115887i | ||||
\(733\) | −0.867465 | − | 0.867465i | −0.0320406 | − | 0.0320406i | 0.690905 | − | 0.722946i | \(-0.257212\pi\) |
−0.722946 | + | 0.690905i | \(0.757212\pi\) | |||||||
\(734\) | −2.18455 | + | 39.0923i | −0.0806331 | + | 1.44292i | ||||
\(735\) | −0.964182 | − | 0.973811i | −0.0355644 | − | 0.0359196i | ||||
\(736\) | −39.6427 | − | 11.3616i | −1.46125 | − | 0.418795i | ||||
\(737\) | 27.7998 | − | 27.7998i | 1.02402 | − | 1.02402i | ||||
\(738\) | −12.0773 | + | 10.7989i | −0.444571 | + | 0.397514i | ||||
\(739\) | 2.05358 | 0.0755423 | 0.0377712 | − | 0.999286i | \(-0.487974\pi\) | ||||
0.0377712 | + | 0.999286i | \(0.487974\pi\) | |||||||
\(740\) | −27.9983 | − | 35.4286i | −1.02924 | − | 1.30238i | ||||
\(741\) | −0.884064 | −0.0324769 | ||||||||
\(742\) | 1.39028 | − | 1.24312i | 0.0510387 | − | 0.0456363i | ||||
\(743\) | 10.3809 | − | 10.3809i | 0.380838 | − | 0.380838i | −0.490566 | − | 0.871404i | \(-0.663210\pi\) |
0.871404 | + | 0.490566i | \(0.163210\pi\) | |||||||
\(744\) | 1.13812 | + | 0.192405i | 0.0417256 | + | 0.00705391i | ||||
\(745\) | 0.226696 | − | 45.6243i | 0.00830550 | − | 1.67154i | ||||
\(746\) | 0.804913 | − | 14.4038i | 0.0294699 | − | 0.527362i | ||||
\(747\) | 4.79603 | + | 4.79603i | 0.175478 | + | 0.175478i | ||||
\(748\) | 27.9401 | − | 22.3067i | 1.02159 | − | 0.815615i | ||||
\(749\) | − | 1.65767i | − | 0.0605699i | ||||||
\(750\) | 3.52879 | + | 0.250008i | 0.128853 | + | 0.00912899i | ||||
\(751\) | 4.09706i | 0.149504i | 0.997202 | + | 0.0747519i | \(0.0238165\pi\) | ||||
−0.997202 | + | 0.0747519i | \(0.976184\pi\) | |||||||
\(752\) | 19.1180 | + | 30.3517i | 0.697162 | + | 1.10681i | ||||
\(753\) | 2.03838 | + | 2.03838i | 0.0742827 | + | 0.0742827i | ||||
\(754\) | −3.68557 | − | 0.205956i | −0.134220 | − | 0.00750048i | ||||
\(755\) | −0.0605625 | + | 12.1887i | −0.00220410 | + | 0.443591i | ||||
\(756\) | 8.25721 | + | 0.925746i | 0.300312 | + | 0.0336691i | ||||
\(757\) | −21.0913 | + | 21.0913i | −0.766576 | + | 0.766576i | −0.977502 | − | 0.210926i | \(-0.932352\pi\) |
0.210926 | + | 0.977502i | \(0.432352\pi\) | |||||||
\(758\) | −8.10468 | − | 9.06410i | −0.294375 | − | 0.329223i | ||||
\(759\) | −6.06642 | −0.220197 | ||||||||
\(760\) | 20.4408 | − | 14.3766i | 0.741465 | − | 0.521496i | ||||
\(761\) | −32.9641 | −1.19495 | −0.597474 | − | 0.801888i | \(-0.703829\pi\) | ||||
−0.597474 | + | 0.801888i | \(0.703829\pi\) | |||||||
\(762\) | −0.584458 | − | 0.653646i | −0.0211727 | − | 0.0236791i | ||||
\(763\) | −14.0727 | + | 14.0727i | −0.509465 | + | 0.509465i | ||||
\(764\) | 0.913820 | + | 0.102452i | 0.0330608 | + | 0.00370657i | ||||
\(765\) | 22.3065 | + | 22.5293i | 0.806493 | + | 0.814548i | ||||
\(766\) | −8.04212 | − | 0.449408i | −0.290574 | − | 0.0162378i | ||||
\(767\) | −0.773117 | − | 0.773117i | −0.0279156 | − | 0.0279156i | ||||
\(768\) | 3.37632 | − | 1.18980i | 0.121833 | − | 0.0429334i | ||||
\(769\) | 23.4118i | 0.844250i | 0.906538 | + | 0.422125i | \(0.138716\pi\) | ||||
−0.906538 | + | 0.422125i | \(0.861284\pi\) | |||||||
\(770\) | 36.6367 | + | 2.22999i | 1.32030 | + | 0.0803631i | ||||
\(771\) | 4.77429i | 0.171942i | ||||||||
\(772\) | −10.8778 | + | 8.68461i | −0.391502 | + | 0.312566i | ||||
\(773\) | 22.9974 | + | 22.9974i | 0.827159 | + | 0.827159i | 0.987123 | − | 0.159964i | \(-0.0511377\pi\) |
−0.159964 | + | 0.987123i | \(0.551138\pi\) | |||||||
\(774\) | 0.0123759 | − | 0.221466i | 0.000444844 | − | 0.00796044i | ||||
\(775\) | −0.0906271 | + | 9.11946i | −0.00325542 | + | 0.327581i | ||||
\(776\) | −7.67413 | + | 45.3944i | −0.275485 | + | 1.62956i | ||||
\(777\) | −4.98530 | + | 4.98530i | −0.178847 | + | 0.178847i | ||||
\(778\) | 1.02325 | − | 0.914943i | 0.0366854 | − | 0.0328023i | ||||
\(779\) | 15.3447 | 0.549781 | ||||||||
\(780\) | 0.116421 | − | 0.993797i | 0.00416854 | − | 0.0355836i | ||||
\(781\) | −46.6325 | −1.66864 | ||||||||
\(782\) | −36.9390 | + | 33.0291i | −1.32094 | + | 1.18112i | ||||
\(783\) | 2.45701 | − | 2.45701i | 0.0878063 | − | 0.0878063i | ||||
\(784\) | 2.42627 | − | 10.6846i | 0.0866525 | − | 0.381592i | ||||
\(785\) | 18.2400 | − | 18.0596i | 0.651012 | − | 0.644575i | ||||
\(786\) | 0.0231792 | − | 0.414789i | 0.000826774 | − | 0.0147950i | ||||
\(787\) | 16.1622 | + | 16.1622i | 0.576121 | + | 0.576121i | 0.933832 | − | 0.357712i | \(-0.116443\pi\) |
−0.357712 | + | 0.933832i | \(0.616443\pi\) | |||||||
\(788\) | 24.4835 | + | 30.6666i | 0.872190 | + | 1.09245i | ||||
\(789\) | − | 3.07725i | − | 0.109553i | ||||||
\(790\) | 34.4288 | + | 38.8916i | 1.22492 | + | 1.38370i | ||||
\(791\) | − | 14.5626i | − | 0.517785i | ||||||
\(792\) | −25.2941 | + | 17.9786i | −0.898785 | + | 0.638842i | ||||
\(793\) | −6.33989 | − | 6.33989i | −0.225136 | − | 0.225136i | ||||
\(794\) | 24.5926 | + | 1.37428i | 0.872757 | + | 0.0487713i | ||||
\(795\) | 0.211410 | + | 0.00105045i | 0.00749794 | + | 3.72555e-5i | ||||
\(796\) | 3.19091 | − | 28.4614i | 0.113099 | − | 1.00879i | ||||
\(797\) | −8.77594 | + | 8.77594i | −0.310860 | + | 0.310860i | −0.845243 | − | 0.534383i | \(-0.820544\pi\) |
0.534383 | + | 0.845243i | \(0.320544\pi\) | |||||||
\(798\) | −2.60072 | − | 2.90859i | −0.0920644 | − | 0.102963i | ||||
\(799\) | 43.1022 | 1.52485 | ||||||||
\(800\) | 13.4693 | + | 24.8712i | 0.476212 | + | 0.879330i | ||||
\(801\) | −3.64162 | −0.128670 | ||||||||
\(802\) | −23.8245 | − | 26.6448i | −0.841272 | − | 0.940861i | ||||
\(803\) | −23.0591 | + | 23.0591i | −0.813738 | + | 0.813738i | ||||
\(804\) | 0.527006 | − | 4.70064i | 0.0185861 | − | 0.165779i | ||||
\(805\) | −50.8710 | − | 0.252766i | −1.79297 | − | 0.00890883i | ||||
\(806\) | 2.57548 | + | 0.143923i | 0.0907175 | + | 0.00506946i | ||||
\(807\) | −0.695939 | − | 0.695939i | −0.0244982 | − | 0.0244982i | ||||
\(808\) | 12.7631 | − | 9.07183i | 0.449005 | − | 0.319146i | ||||
\(809\) | 9.63309i | 0.338681i | 0.985558 | + | 0.169341i | \(0.0541638\pi\) | ||||
−0.985558 | + | 0.169341i | \(0.945836\pi\) | |||||||
\(810\) | −17.9257 | − | 20.2493i | −0.629843 | − | 0.711487i | ||||
\(811\) | 43.6355i | 1.53225i | 0.642691 | + | 0.766125i | \(0.277818\pi\) | ||||
−0.642691 | + | 0.766125i | \(0.722182\pi\) | |||||||
\(812\) | −10.1645 | − | 12.7315i | −0.356704 | − | 0.446787i | ||||
\(813\) | 4.02510 | + | 4.02510i | 0.141167 | + | 0.141167i | ||||
\(814\) | 2.96327 | − | 53.0275i | 0.103863 | − | 1.85861i | ||||
\(815\) | 13.8164 | − | 13.6798i | 0.483968 | − | 0.479183i | ||||
\(816\) | 0.952540 | − | 4.19470i | 0.0333456 | − | 0.146844i | ||||
\(817\) | −0.148553 | + | 0.148553i | −0.00519722 | + | 0.00519722i | ||||
\(818\) | −4.32689 | + | 3.86890i | −0.151286 | + | 0.135273i | ||||
\(819\) | 9.20606 | 0.321686 | ||||||||
\(820\) | −2.02072 | + | 17.2494i | −0.0705667 | + | 0.602374i | ||||
\(821\) | 31.6638 | 1.10508 | 0.552538 | − | 0.833488i | \(-0.313659\pi\) | ||||
0.552538 | + | 0.833488i | \(0.313659\pi\) | |||||||
\(822\) | −1.05806 | + | 0.946069i | −0.0369042 | + | 0.0329979i | ||||
\(823\) | 9.33667 | − | 9.33667i | 0.325456 | − | 0.325456i | −0.525400 | − | 0.850856i | \(-0.676084\pi\) |
0.850856 | + | 0.525400i | \(0.176084\pi\) | |||||||
\(824\) | −5.47724 | + | 32.3992i | −0.190809 | + | 1.12868i | ||||
\(825\) | 2.91272 | + | 2.97119i | 0.101408 | + | 0.103443i | ||||
\(826\) | 0.269233 | − | 4.81791i | 0.00936782 | − | 0.167636i | ||||
\(827\) | −22.4366 | − | 22.4366i | −0.780195 | − | 0.780195i | 0.199668 | − | 0.979864i | \(-0.436014\pi\) |
−0.979864 | + | 0.199668i | \(0.936014\pi\) | |||||||
\(828\) | 33.6121 | − | 26.8351i | 1.16810 | − | 0.932585i | ||||
\(829\) | 28.3550i | 0.984808i | 0.870367 | + | 0.492404i | \(0.163882\pi\) | ||||
−0.870367 | + | 0.492404i | \(0.836118\pi\) | |||||||
\(830\) | 7.25740 | + | 0.441739i | 0.251908 | + | 0.0153330i | ||||
\(831\) | − | 0.494273i | − | 0.0171461i | ||||||
\(832\) | 7.20199 | − | 3.48301i | 0.249684 | − | 0.120752i | ||||
\(833\) | −9.30929 | − | 9.30929i | −0.322548 | − | 0.322548i | ||||
\(834\) | −5.99791 | − | 0.335174i | −0.207691 | − | 0.0116061i | ||||
\(835\) | −33.3372 | − | 33.6702i | −1.15368 | − | 1.16520i | ||||
\(836\) | 29.2091 | + | 3.27474i | 1.01022 | + | 0.113259i | ||||
\(837\) | −1.71696 | + | 1.71696i | −0.0593469 | + | 0.0593469i | ||||
\(838\) | −16.3371 | − | 18.2711i | −0.564357 | − | 0.631164i | ||||
\(839\) | −36.3756 | −1.25582 | −0.627912 | − | 0.778284i | \(-0.716090\pi\) | ||||
−0.627912 | + | 0.778284i | \(0.716090\pi\) | |||||||
\(840\) | 3.61210 | − | 2.54050i | 0.124629 | − | 0.0876556i | ||||
\(841\) | 22.1871 | 0.765072 | ||||||||
\(842\) | 32.0823 | + | 35.8802i | 1.10563 | + | 1.23651i | ||||
\(843\) | −0.317586 | + | 0.317586i | −0.0109382 | + | 0.0109382i | ||||
\(844\) | −43.3323 | − | 4.85815i | −1.49156 | − | 0.167224i | ||||
\(845\) | 0.0111104 | − | 2.23604i | 0.000382208 | − | 0.0769221i | ||||
\(846\) | −37.3537 | − | 2.08739i | −1.28425 | − | 0.0717661i | ||||
\(847\) | 6.25179 | + | 6.25179i | 0.214814 | + | 0.214814i | ||||
\(848\) | 0.900873 | + | 1.43022i | 0.0309361 | + | 0.0491140i | ||||
\(849\) | − | 3.93805i | − | 0.135153i | ||||||
\(850\) | 33.9127 | + | 2.23336i | 1.16319 | + | 0.0766035i | ||||
\(851\) | 73.6095i | 2.52330i | ||||||||
\(852\) | −4.38454 | + | 3.50052i | −0.150212 | + | 0.119926i | ||||
\(853\) | 9.74672 | + | 9.74672i | 0.333722 | + | 0.333722i | 0.853998 | − | 0.520276i | \(-0.174171\pi\) |
−0.520276 | + | 0.853998i | \(0.674171\pi\) | |||||||
\(854\) | 2.20783 | − | 39.5089i | 0.0755504 | − | 1.35197i | ||||
\(855\) | −0.129504 | + | 26.0636i | −0.00442893 | + | 0.891355i | ||||
\(856\) | 1.48137 | + | 0.250432i | 0.0506322 | + | 0.00855961i | ||||
\(857\) | −5.73251 | + | 5.73251i | −0.195819 | + | 0.195819i | −0.798205 | − | 0.602386i | \(-0.794217\pi\) |
0.602386 | + | 0.798205i | \(0.294217\pi\) | |||||||
\(858\) | 0.877284 | − | 0.784425i | 0.0299500 | − | 0.0267798i | ||||
\(859\) | −19.7158 | −0.672695 | −0.336348 | − | 0.941738i | \(-0.609192\pi\) | ||||
−0.336348 | + | 0.941738i | \(0.609192\pi\) | |||||||
\(860\) | −0.147430 | − | 0.186555i | −0.00502731 | − | 0.00636148i | ||||
\(861\) | 2.71157 | 0.0924100 | ||||||||
\(862\) | 12.4924 | − | 11.1701i | 0.425493 | − | 0.380455i | ||||
\(863\) | 35.6121 | − | 35.6121i | 1.21225 | − | 1.21225i | 0.241965 | − | 0.970285i | \(-0.422208\pi\) |
0.970285 | − | 0.241965i | \(-0.0777920\pi\) | |||||||
\(864\) | −2.07475 | + | 7.23916i | −0.0705844 | + | 0.246281i | ||||
\(865\) | 31.4982 | + | 31.8128i | 1.07097 | + | 1.08167i | ||||
\(866\) | −1.10191 | + | 19.7186i | −0.0374444 | + | 0.670065i | ||||
\(867\) | −0.965247 | − | 0.965247i | −0.0327815 | − | 0.0327815i | ||||
\(868\) | 7.10299 | + | 8.89678i | 0.241091 | + | 0.301976i | ||||
\(869\) | 61.0903i | 2.07235i | ||||||||
\(870\) | 0.112200 | − | 1.84334i | 0.00380392 | − | 0.0624951i | ||||
\(871\) | − | 10.5705i | − | 0.358169i | ||||||
\(872\) | −10.4500 | − | 14.7020i | −0.353880 | − | 0.497873i | ||||
\(873\) | −33.9527 | − | 33.9527i | −1.14913 | − | 1.14913i | ||||
\(874\) | −40.6733 | − | 2.27290i | −1.37579 | − | 0.0768819i | ||||
\(875\) | 24.3013 | + | 25.0368i | 0.821533 | + | 0.846398i | ||||
\(876\) | −0.437136 | + | 3.89905i | −0.0147695 | + | 0.131737i | ||||
\(877\) | 18.7739 | − | 18.7739i | 0.633950 | − | 0.633950i | −0.315107 | − | 0.949056i | \(-0.602040\pi\) |
0.949056 | + | 0.315107i | \(0.102040\pi\) | |||||||
\(878\) | −13.0634 | − | 14.6099i | −0.440870 | − | 0.493060i | ||||
\(879\) | −0.655440 | −0.0221074 | ||||||||
\(880\) | −7.52772 | + | 32.4034i | −0.253759 | + | 1.09232i | ||||
\(881\) | −28.1211 | −0.947422 | −0.473711 | − | 0.880680i | \(-0.657086\pi\) | ||||
−0.473711 | + | 0.880680i | \(0.657086\pi\) | |||||||
\(882\) | 7.61689 | + | 8.51857i | 0.256474 | + | 0.286835i | ||||
\(883\) | −31.5179 | + | 31.5179i | −1.06066 | + | 1.06066i | −0.0626232 | + | 0.998037i | \(0.519947\pi\) |
−0.998037 | + | 0.0626232i | \(0.980053\pi\) | |||||||
\(884\) | 1.07101 | − | 9.55288i | 0.0360219 | − | 0.321298i | ||||
\(885\) | 0.388705 | − | 0.384861i | 0.0130662 | − | 0.0129370i | ||||
\(886\) | −15.5314 | − | 0.867924i | −0.521789 | − | 0.0291585i | ||||
\(887\) | −24.6463 | − | 24.6463i | −0.827542 | − | 0.827542i | 0.159634 | − | 0.987176i | \(-0.448969\pi\) |
−0.987176 | + | 0.159634i | \(0.948969\pi\) | |||||||
\(888\) | −3.70194 | − | 5.20825i | −0.124229 | − | 0.174777i | ||||
\(889\) | − | 8.64813i | − | 0.290049i | ||||||
\(890\) | −2.92297 | + | 2.58756i | −0.0979782 | + | 0.0867352i | ||||
\(891\) | − | 31.8072i | − | 1.06558i | ||||||
\(892\) | −22.2261 | − | 27.8391i | −0.744185 | − | 0.932122i | ||||
\(893\) | 25.0558 | + | 25.0558i | 0.838461 | + | 0.838461i | ||||
\(894\) | 0.360219 | − | 6.44609i | 0.0120475 | − | 0.215590i | ||||
\(895\) | −30.9822 | − | 0.153943i | −1.03562 | − | 0.00514575i | ||||
\(896\) | 32.6458 | + | 13.4485i | 1.09062 | + | 0.449282i | ||||
\(897\) | −1.15334 | + | 1.15334i | −0.0385089 | + | 0.0385089i | ||||
\(898\) | 28.7995 | − | 25.7511i | 0.961051 | − | 0.859325i | ||||
\(899\) | 4.76088 | 0.158784 | ||||||||
\(900\) | −29.2816 | − | 3.57785i | −0.976054 | − | 0.119262i | ||||
\(901\) | 2.03105 | 0.0676640 | ||||||||
\(902\) | −15.2270 | + | 13.6153i | −0.507005 | + | 0.453339i | ||||
\(903\) | −0.0262509 | + | 0.0262509i | −0.000873576 | + | 0.000873576i | ||||
\(904\) | 13.0138 | + | 2.20004i | 0.432832 | + | 0.0731723i | ||||
\(905\) | −19.2349 | − | 0.0955735i | −0.639389 | − | 0.00317697i | ||||
\(906\) | −0.0962337 | + | 1.72209i | −0.00319715 | + | 0.0572127i | ||||
\(907\) | 21.9708 | + | 21.9708i | 0.729528 | + | 0.729528i | 0.970526 | − | 0.240998i | \(-0.0774746\pi\) |
−0.240998 | + | 0.970526i | \(0.577475\pi\) | |||||||
\(908\) | 17.6940 | − | 14.1265i | 0.587197 | − | 0.468804i | ||||
\(909\) | 16.3314i | 0.541680i | ||||||||
\(910\) | 7.38930 | − | 6.54138i | 0.244953 | − | 0.216845i | ||||
\(911\) | − | 14.8457i | − | 0.491861i | −0.969287 | − | 0.245930i | \(-0.920907\pi\) | ||
0.969287 | − | 0.245930i | \(-0.0790935\pi\) | |||||||
\(912\) | 2.99215 | − | 1.88471i | 0.0990801 | − | 0.0624089i | ||||
\(913\) | 6.04684 | + | 6.04684i | 0.200121 | + | 0.200121i | ||||
\(914\) | 58.7928 | + | 3.28545i | 1.94469 | + | 0.108673i | ||||
\(915\) | 3.18755 | − | 3.15603i | 0.105377 | − | 0.104335i | ||||
\(916\) | 40.6956 | + | 4.56254i | 1.34462 | + | 0.150751i | ||||
\(917\) | 2.89729 | − | 2.89729i | 0.0956770 | − | 0.0956770i | ||||
\(918\) | 6.03144 | + | 6.74544i | 0.199067 | + | 0.222633i | ||||
\(919\) | −55.1073 | −1.81782 | −0.908911 | − | 0.416990i | \(-0.863085\pi\) | ||||
−0.908911 | + | 0.416990i | \(0.863085\pi\) | |||||||
\(920\) | 7.91122 | − | 45.4225i | 0.260825 | − | 1.49754i | ||||
\(921\) | 1.98793 | 0.0655046 | ||||||||
\(922\) | −10.9279 | − | 12.2216i | −0.359893 | − | 0.402496i | ||||
\(923\) | −8.86573 | + | 8.86573i | −0.291819 | + | 0.291819i | ||||
\(924\) | 5.16155 | + | 0.578680i | 0.169802 | + | 0.0190372i | ||||
\(925\) | 36.0522 | − | 35.3427i | 1.18539 | − | 1.16206i | ||||
\(926\) | 28.0180 | + | 1.56570i | 0.920729 | + | 0.0514520i | ||||
\(927\) | −24.2330 | − | 24.2330i | −0.795915 | − | 0.795915i | ||||
\(928\) | 12.9130 | − | 7.16007i | 0.423891 | − | 0.235041i | ||||
\(929\) | − | 55.0190i | − | 1.80512i | −0.430569 | − | 0.902558i | \(-0.641687\pi\) | ||
0.430569 | − | 0.902558i | \(-0.358313\pi\) | |||||||
\(930\) | −0.0784053 | + | 1.28813i | −0.00257101 | + | 0.0422395i | ||||
\(931\) | − | 10.8232i | − | 0.354716i | ||||||
\(932\) | 10.8026 | − | 8.62452i | 0.353850 | − | 0.282505i | ||||
\(933\) | −2.96510 | − | 2.96510i | −0.0970729 | − | 0.0970729i | ||||
\(934\) | 0.175519 | − | 3.14090i | 0.00574316 | − | 0.102773i | ||||
\(935\) | 28.1240 | + | 28.4049i | 0.919754 | + | 0.928940i | ||||
\(936\) | −1.39081 | + | 8.22696i | −0.0454599 | + | 0.268907i | ||||
\(937\) | 35.9906 | − | 35.9906i | 1.17576 | − | 1.17576i | 0.194950 | − | 0.980813i | \(-0.437546\pi\) |
0.980813 | − | 0.194950i | \(-0.0624544\pi\) | |||||||
\(938\) | 34.7773 | − | 31.0961i | 1.13552 | − | 1.01532i | ||||
\(939\) | 1.29573 | 0.0422846 | ||||||||
\(940\) | −31.4654 | + | 24.8663i | −1.02629 | + | 0.811049i | ||||
\(941\) | −23.8720 | −0.778206 | −0.389103 | − | 0.921194i | \(-0.627215\pi\) | ||||
−0.389103 | + | 0.921194i | \(0.627215\pi\) | |||||||
\(942\) | 2.70762 | − | 2.42102i | 0.0882190 | − | 0.0788811i | ||||
\(943\) | 20.0186 | − | 20.0186i | 0.651894 | − | 0.651894i | ||||
\(944\) | 4.26483 | + | 0.968465i | 0.138808 | + | 0.0315208i | ||||
\(945\) | −0.0461576 | + | 9.28956i | −0.00150151 | + | 0.302189i | ||||
\(946\) | 0.0156036 | − | 0.279225i | 0.000507316 | − | 0.00907838i | ||||
\(947\) | −34.7163 | − | 34.7163i | −1.12813 | − | 1.12813i | −0.990481 | − | 0.137647i | \(-0.956046\pi\) |
−0.137647 | − | 0.990481i | \(-0.543954\pi\) | |||||||
\(948\) | 4.58580 | + | 5.74390i | 0.148940 | + | 0.186553i | ||||
\(949\) | 8.76795i | 0.284620i | ||||||||
\(950\) | 18.4156 | + | 21.0121i | 0.597480 | + | 0.681723i | ||||
\(951\) | 3.30738i | 0.107249i | ||||||||
\(952\) | 34.5798 | − | 24.5788i | 1.12074 | − | 0.796603i | ||||
\(953\) | −29.0850 | − | 29.0850i | −0.942157 | − | 0.942157i | 0.0562591 | − | 0.998416i | \(-0.482083\pi\) |
−0.998416 | + | 0.0562591i | \(0.982083\pi\) | |||||||
\(954\) | −1.76017 | − | 0.0983614i | −0.0569876 | − | 0.00318457i | ||||
\(955\) | −0.00510823 | + | 1.02807i | −0.000165299 | + | 0.0332676i | ||||
\(956\) | 2.77089 | − | 24.7150i | 0.0896169 | − | 0.799339i | ||||
\(957\) | 1.53587 | − | 1.53587i | 0.0496475 | − | 0.0496475i | ||||
\(958\) | −19.2040 | − | 21.4773i | −0.620452 | − | 0.693900i | ||||
\(959\) | −13.9988 | −0.452045 | ||||||||
\(960\) | 1.72461 | + | 3.61174i | 0.0556616 | + | 0.116569i | ||||
\(961\) | 27.6731 | 0.892680 | ||||||||
\(962\) | −9.51816 | − | 10.6449i | −0.306878 | − | 0.343206i | ||||
\(963\) | −1.10799 | + | 1.10799i | −0.0357045 | + | 0.0357045i | ||||
\(964\) | −3.74176 | + | 33.3747i | −0.120514 | + | 1.07493i | ||||
\(965\) | −10.9494 | − | 11.0588i | −0.352475 | − | 0.355995i | ||||
\(966\) | −7.18739 | − | 0.401644i | −0.231250 | − | 0.0129227i | ||||
\(967\) | 4.28698 | + | 4.28698i | 0.137860 | + | 0.137860i | 0.772669 | − | 0.634809i | \(-0.218921\pi\) |
−0.634809 | + | 0.772669i | \(0.718921\pi\) | |||||||
\(968\) | −6.53138 | + | 4.64240i | −0.209927 | + | 0.149212i | ||||
\(969\) | − | 4.24913i | − | 0.136502i | ||||||
\(970\) | −51.3775 | − | 3.12722i | −1.64963 | − | 0.100409i | ||||
\(971\) | − | 49.1536i | − | 1.57741i | −0.614770 | − | 0.788707i | \(-0.710751\pi\) | ||
0.614770 | − | 0.788707i | \(-0.289249\pi\) | |||||||
\(972\) | −7.37116 | − | 9.23268i | −0.236430 | − | 0.296138i | ||||
\(973\) | −41.8953 | − | 41.8953i | −1.34310 | − | 1.34310i | ||||
\(974\) | −0.484650 | + | 8.67277i | −0.0155292 | + | 0.277893i | ||||
\(975\) | 1.11864 | + | 0.0111168i | 0.0358252 | + | 0.000356023i | ||||
\(976\) | 34.9735 | + | 7.94183i | 1.11947 | + | 0.254212i | ||||
\(977\) | −13.4114 | + | 13.4114i | −0.429069 | + | 0.429069i | −0.888311 | − | 0.459242i | \(-0.848121\pi\) |
0.459242 | + | 0.888311i | \(0.348121\pi\) | |||||||
\(978\) | 2.05097 | − | 1.83388i | 0.0655828 | − | 0.0586409i | ||||
\(979\) | −4.59135 | −0.146740 | ||||||||
\(980\) | 12.1666 | + | 1.42529i | 0.388649 | + | 0.0455293i | ||||
\(981\) | 18.8124 | 0.600634 | ||||||||
\(982\) | −16.4670 | + | 14.7240i | −0.525484 | + | 0.469863i | ||||
\(983\) | 14.8161 | − | 14.8161i | 0.472560 | − | 0.472560i | −0.430182 | − | 0.902742i | \(-0.641551\pi\) |
0.902742 | + | 0.430182i | \(0.141551\pi\) | |||||||
\(984\) | −0.409651 | + | 2.42318i | −0.0130592 | + | 0.0772483i | ||||
\(985\) | −31.1768 | + | 30.8685i | −0.993375 | + | 0.983553i | ||||
\(986\) | 0.989900 | − | 17.7142i | 0.0315248 | − | 0.564134i | ||||
\(987\) | 4.42762 | + | 4.42762i | 0.140933 | + | 0.140933i | ||||
\(988\) | 6.17579 | − | 4.93061i | 0.196478 | − | 0.156864i | ||||
\(989\) | 0.387603i | 0.0123250i | ||||||||
\(990\) | −22.9976 | − | 25.9786i | −0.730910 | − | 0.825654i | ||||
\(991\) | 25.3922i | 0.806610i | 0.915066 | + | 0.403305i | \(0.132139\pi\) | ||||
−0.915066 | + | 0.403305i | \(0.867861\pi\) | |||||||
\(992\) | −9.02366 | + | 5.00348i | −0.286501 | + | 0.158861i | ||||
\(993\) | −1.99115 | − | 1.99115i | −0.0631873 | − | 0.0631873i | ||||
\(994\) | −55.2495 | − | 3.08744i | −1.75241 | − | 0.0979276i | ||||
\(995\) | 32.0198 | + | 0.159099i | 1.01510 | + | 0.00504377i | ||||
\(996\) | 1.02245 | + | 0.114631i | 0.0323977 | + | 0.00363223i | ||||
\(997\) | 12.3627 | − | 12.3627i | 0.391529 | − | 0.391529i | −0.483703 | − | 0.875232i | \(-0.660708\pi\) |
0.875232 | + | 0.483703i | \(0.160708\pi\) | |||||||
\(998\) | −28.9292 | − | 32.3538i | −0.915737 | − | 1.02414i | ||||
\(999\) | 13.4418 | 0.425281 |
(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 | 260.2.o.a.183.10 | yes | 72 | |
4.3 | odd | 2 | inner | 260.2.o.a.183.28 | yes | 72 | |
5.2 | odd | 4 | inner | 260.2.o.a.27.28 | yes | 72 | |
20.7 | even | 4 | inner | 260.2.o.a.27.10 | ✓ | 72 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
260.2.o.a.27.10 | ✓ | 72 | 20.7 | even | 4 | inner | |
260.2.o.a.27.28 | yes | 72 | 5.2 | odd | 4 | inner | |
260.2.o.a.183.10 | yes | 72 | 1.1 | even | 1 | trivial | |
260.2.o.a.183.28 | yes | 72 | 4.3 | odd | 2 | inner |