Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [273,2,Mod(19,273)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(273, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([0, 10, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("273.19");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 273 = 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 273.cg (of order \(12\), degree \(4\), 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: | \(2.17991597518\) |
Analytic rank: | \(0\) |
Dimension: | \(36\) |
Relative dimension: | \(9\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 262.4 | ||
Character | \(\chi\) | \(=\) | 273.262 |
Dual form | 273.2.cg.a.124.4 |
$q$-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 \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).
\(n\) | \(92\) | \(106\) | \(157\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{12}\right)\) | \(e\left(\frac{1}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.273028 | − | 1.01896i | −0.193060 | − | 0.720511i | −0.992760 | − | 0.120111i | \(-0.961675\pi\) |
0.799700 | − | 0.600400i | \(-0.204992\pi\) | |||||||
\(3\) | − | 1.00000i | − | 0.577350i | ||||||
\(4\) | 0.768324 | − | 0.443592i | 0.384162 | − | 0.221796i | ||||
\(5\) | 1.01943 | − | 3.80456i | 0.455903 | − | 1.70145i | −0.229517 | − | 0.973305i | \(-0.573715\pi\) |
0.685420 | − | 0.728148i | \(-0.259619\pi\) | |||||||
\(6\) | −1.01896 | + | 0.273028i | −0.415987 | + | 0.111463i | ||||
\(7\) | 1.44977 | + | 2.21318i | 0.547960 | + | 0.836504i | ||||
\(8\) | −2.15363 | − | 2.15363i | −0.761423 | − | 0.761423i | ||||
\(9\) | −1.00000 | −0.333333 | ||||||||
\(10\) | −4.15502 | −1.31393 | ||||||||
\(11\) | 0.669085 | + | 0.669085i | 0.201737 | + | 0.201737i | 0.800744 | − | 0.599007i | \(-0.204438\pi\) |
−0.599007 | + | 0.800744i | \(0.704438\pi\) | |||||||
\(12\) | −0.443592 | − | 0.768324i | −0.128054 | − | 0.221796i | ||||
\(13\) | 0.783899 | + | 3.51930i | 0.217414 | + | 0.976079i | ||||
\(14\) | 1.85931 | − | 2.08151i | 0.496921 | − | 0.556307i | ||||
\(15\) | −3.80456 | − | 1.01943i | −0.982334 | − | 0.263216i | ||||
\(16\) | −0.719268 | + | 1.24581i | −0.179817 | + | 0.311452i | ||||
\(17\) | 3.98087 | + | 6.89506i | 0.965502 | + | 1.67230i | 0.708260 | + | 0.705952i | \(0.249481\pi\) |
0.257242 | + | 0.966347i | \(0.417186\pi\) | |||||||
\(18\) | 0.273028 | + | 1.01896i | 0.0643534 | + | 0.240170i | ||||
\(19\) | −1.23405 | − | 1.23405i | −0.283111 | − | 0.283111i | 0.551237 | − | 0.834348i | \(-0.314156\pi\) |
−0.834348 | + | 0.551237i | \(0.814156\pi\) | |||||||
\(20\) | −0.904422 | − | 3.37535i | −0.202235 | − | 0.754751i | ||||
\(21\) | 2.21318 | − | 1.44977i | 0.482956 | − | 0.316365i | ||||
\(22\) | 0.499089 | − | 0.864448i | 0.106406 | − | 0.184301i | ||||
\(23\) | −6.00569 | − | 3.46739i | −1.25227 | − | 0.723000i | −0.280712 | − | 0.959792i | \(-0.590571\pi\) |
−0.971560 | + | 0.236792i | \(0.923904\pi\) | |||||||
\(24\) | −2.15363 | + | 2.15363i | −0.439608 | + | 0.439608i | ||||
\(25\) | −9.10535 | − | 5.25697i | −1.82107 | − | 1.05139i | ||||
\(26\) | 3.37199 | − | 1.75963i | 0.661302 | − | 0.345092i | ||||
\(27\) | 1.00000i | 0.192450i | ||||||||
\(28\) | 2.09564 | + | 1.05734i | 0.396039 | + | 0.199818i | ||||
\(29\) | 1.71573 | + | 2.97173i | 0.318603 | + | 0.551836i | 0.980197 | − | 0.198026i | \(-0.0634531\pi\) |
−0.661594 | + | 0.749862i | \(0.730120\pi\) | |||||||
\(30\) | 4.15502i | 0.758599i | ||||||||
\(31\) | −4.37613 | + | 1.17258i | −0.785976 | + | 0.210602i | −0.629418 | − | 0.777067i | \(-0.716707\pi\) |
−0.156558 | + | 0.987669i | \(0.550040\pi\) | |||||||
\(32\) | −4.41802 | − | 1.18381i | −0.781003 | − | 0.209269i | ||||
\(33\) | 0.669085 | − | 0.669085i | 0.116473 | − | 0.116473i | ||||
\(34\) | 5.93888 | − | 5.93888i | 1.01851 | − | 1.01851i | ||||
\(35\) | 9.89813 | − | 3.25954i | 1.67309 | − | 0.550964i | ||||
\(36\) | −0.768324 | + | 0.443592i | −0.128054 | + | 0.0739320i | ||||
\(37\) | 9.40483 | − | 2.52002i | 1.54614 | − | 0.414288i | 0.617899 | − | 0.786257i | \(-0.287984\pi\) |
0.928245 | + | 0.371969i | \(0.121317\pi\) | |||||||
\(38\) | −0.920514 | + | 1.59438i | −0.149327 | + | 0.258642i | ||||
\(39\) | 3.51930 | − | 0.783899i | 0.563540 | − | 0.125524i | ||||
\(40\) | −10.3891 | + | 5.99815i | −1.64266 | + | 0.948391i | ||||
\(41\) | 0.117207 | − | 0.437421i | 0.0183046 | − | 0.0683137i | −0.956169 | − | 0.292814i | \(-0.905408\pi\) |
0.974474 | + | 0.224500i | \(0.0720750\pi\) | |||||||
\(42\) | −2.08151 | − | 1.85931i | −0.321184 | − | 0.286898i | ||||
\(43\) | 0.0936549 | + | 0.0540717i | 0.0142822 | + | 0.00824585i | 0.507124 | − | 0.861873i | \(-0.330709\pi\) |
−0.492842 | + | 0.870119i | \(0.664042\pi\) | |||||||
\(44\) | 0.810875 | + | 0.217273i | 0.122244 | + | 0.0327552i | ||||
\(45\) | −1.01943 | + | 3.80456i | −0.151968 | + | 0.567151i | ||||
\(46\) | −1.89339 | + | 7.06623i | −0.279165 | + | 1.04186i | ||||
\(47\) | 4.45738 | + | 1.19435i | 0.650175 | + | 0.174214i | 0.568808 | − | 0.822470i | \(-0.307405\pi\) |
0.0813671 | + | 0.996684i | \(0.474071\pi\) | |||||||
\(48\) | 1.24581 | + | 0.719268i | 0.179817 | + | 0.103817i | ||||
\(49\) | −2.79636 | + | 6.41720i | −0.399479 | + | 0.916742i | ||||
\(50\) | −2.87061 | + | 10.7132i | −0.405965 | + | 1.51508i | ||||
\(51\) | 6.89506 | − | 3.98087i | 0.965502 | − | 0.557433i | ||||
\(52\) | 2.16342 | + | 2.35623i | 0.300013 | + | 0.326751i | ||||
\(53\) | 0.747827 | − | 1.29527i | 0.102722 | − | 0.177920i | −0.810083 | − | 0.586315i | \(-0.800578\pi\) |
0.912805 | + | 0.408395i | \(0.133911\pi\) | |||||||
\(54\) | 1.01896 | − | 0.273028i | 0.138662 | − | 0.0371545i | ||||
\(55\) | 3.22766 | − | 1.86349i | 0.435218 | − | 0.251273i | ||||
\(56\) | 1.64412 | − | 7.88864i | 0.219704 | − | 1.05416i | ||||
\(57\) | −1.23405 | + | 1.23405i | −0.163454 | + | 0.163454i | ||||
\(58\) | 2.55962 | − | 2.55962i | 0.336094 | − | 0.336094i | ||||
\(59\) | −4.68445 | − | 1.25519i | −0.609863 | − | 0.163412i | −0.0593479 | − | 0.998237i | \(-0.518902\pi\) |
−0.550515 | + | 0.834825i | \(0.685569\pi\) | |||||||
\(60\) | −3.37535 | + | 0.904422i | −0.435756 | + | 0.116760i | ||||
\(61\) | 6.61892i | 0.847465i | 0.905787 | + | 0.423733i | \(0.139280\pi\) | ||||
−0.905787 | + | 0.423733i | \(0.860720\pi\) | |||||||
\(62\) | 2.38961 | + | 4.13893i | 0.303481 | + | 0.525645i | ||||
\(63\) | −1.44977 | − | 2.21318i | −0.182653 | − | 0.278835i | ||||
\(64\) | 7.70205i | 0.962757i | ||||||||
\(65\) | 14.1885 | + | 0.605291i | 1.75987 | + | 0.0750771i | ||||
\(66\) | −0.864448 | − | 0.499089i | −0.106406 | − | 0.0614336i | ||||
\(67\) | 3.19896 | − | 3.19896i | 0.390815 | − | 0.390815i | −0.484163 | − | 0.874978i | \(-0.660876\pi\) |
0.874978 | + | 0.484163i | \(0.160876\pi\) | |||||||
\(68\) | 6.11719 | + | 3.53176i | 0.741819 | + | 0.428289i | ||||
\(69\) | −3.46739 | + | 6.00569i | −0.417424 | + | 0.723000i | ||||
\(70\) | −6.02380 | − | 9.19581i | −0.719982 | − | 1.09911i | ||||
\(71\) | −2.68009 | − | 10.0022i | −0.318068 | − | 1.18705i | −0.921099 | − | 0.389329i | \(-0.872707\pi\) |
0.603030 | − | 0.797718i | \(-0.293960\pi\) | |||||||
\(72\) | 2.15363 | + | 2.15363i | 0.253808 | + | 0.253808i | ||||
\(73\) | 1.05974 | + | 3.95501i | 0.124033 | + | 0.462899i | 0.999803 | − | 0.0198296i | \(-0.00631239\pi\) |
−0.875770 | + | 0.482729i | \(0.839646\pi\) | |||||||
\(74\) | −5.13557 | − | 8.89507i | −0.596998 | − | 1.03403i | ||||
\(75\) | −5.25697 | + | 9.10535i | −0.607023 | + | 1.05139i | ||||
\(76\) | −1.49557 | − | 0.400736i | −0.171553 | − | 0.0459676i | ||||
\(77\) | −0.510791 | + | 2.45082i | −0.0582100 | + | 0.279297i | ||||
\(78\) | −1.75963 | − | 3.37199i | −0.199239 | − | 0.381803i | ||||
\(79\) | 0.473848 | + | 0.820728i | 0.0533120 | + | 0.0923391i | 0.891450 | − | 0.453119i | \(-0.149689\pi\) |
−0.838138 | + | 0.545459i | \(0.816356\pi\) | |||||||
\(80\) | 4.00652 | + | 4.00652i | 0.447942 | + | 0.447942i | ||||
\(81\) | 1.00000 | 0.111111 | ||||||||
\(82\) | −0.477714 | −0.0527546 | ||||||||
\(83\) | 8.26062 | + | 8.26062i | 0.906721 | + | 0.906721i | 0.996006 | − | 0.0892850i | \(-0.0284582\pi\) |
−0.0892850 | + | 0.996006i | \(0.528458\pi\) | |||||||
\(84\) | 1.05734 | − | 2.09564i | 0.115365 | − | 0.228653i | ||||
\(85\) | 30.2909 | − | 8.11643i | 3.28551 | − | 0.880351i | ||||
\(86\) | 0.0295262 | − | 0.110193i | 0.00318389 | − | 0.0118824i | ||||
\(87\) | 2.97173 | − | 1.71573i | 0.318603 | − | 0.183945i | ||||
\(88\) | − | 2.88192i | − | 0.307214i | ||||||
\(89\) | −1.38773 | − | 5.17908i | −0.147099 | − | 0.548982i | −0.999653 | − | 0.0263421i | \(-0.991614\pi\) |
0.852554 | − | 0.522639i | \(-0.175053\pi\) | |||||||
\(90\) | 4.15502 | 0.437977 | ||||||||
\(91\) | −6.65239 | + | 6.83708i | −0.697360 | + | 0.716721i | ||||
\(92\) | −6.15242 | −0.641434 | ||||||||
\(93\) | 1.17258 | + | 4.37613i | 0.121591 | + | 0.453783i | ||||
\(94\) | − | 4.86796i | − | 0.502092i | ||||||
\(95\) | −5.95306 | + | 3.43700i | −0.610771 | + | 0.352629i | ||||
\(96\) | −1.18381 | + | 4.41802i | −0.120822 | + | 0.450913i | ||||
\(97\) | 11.5503 | − | 3.09490i | 1.17276 | − | 0.314240i | 0.380708 | − | 0.924695i | \(-0.375680\pi\) |
0.792050 | + | 0.610456i | \(0.209014\pi\) | |||||||
\(98\) | 7.30232 | + | 1.09729i | 0.737646 | + | 0.110843i | ||||
\(99\) | −0.669085 | − | 0.669085i | −0.0672456 | − | 0.0672456i | ||||
\(100\) | −9.32781 | −0.932781 | ||||||||
\(101\) | −18.7168 | −1.86239 | −0.931194 | − | 0.364525i | \(-0.881232\pi\) | ||||
−0.931194 | + | 0.364525i | \(0.881232\pi\) | |||||||
\(102\) | −5.93888 | − | 5.93888i | −0.588036 | − | 0.588036i | ||||
\(103\) | −3.28825 | − | 5.69542i | −0.324001 | − | 0.561186i | 0.657309 | − | 0.753621i | \(-0.271695\pi\) |
−0.981310 | + | 0.192435i | \(0.938361\pi\) | |||||||
\(104\) | 5.89105 | − | 9.26751i | 0.577665 | − | 0.908754i | ||||
\(105\) | −3.25954 | − | 9.89813i | −0.318099 | − | 0.965959i | ||||
\(106\) | −1.52400 | − | 0.408356i | −0.148024 | − | 0.0396630i | ||||
\(107\) | −2.59676 | + | 4.49772i | −0.251038 | + | 0.434811i | −0.963812 | − | 0.266583i | \(-0.914105\pi\) |
0.712774 | + | 0.701394i | \(0.247439\pi\) | |||||||
\(108\) | 0.443592 | + | 0.768324i | 0.0426847 | + | 0.0739320i | ||||
\(109\) | −2.95407 | − | 11.0247i | −0.282949 | − | 1.05598i | −0.950325 | − | 0.311259i | \(-0.899249\pi\) |
0.667377 | − | 0.744720i | \(-0.267417\pi\) | |||||||
\(110\) | −2.78006 | − | 2.78006i | −0.265068 | − | 0.265068i | ||||
\(111\) | −2.52002 | − | 9.40483i | −0.239189 | − | 0.892667i | ||||
\(112\) | −3.79997 | + | 0.214260i | −0.359064 | + | 0.0202456i | ||||
\(113\) | −1.34429 | + | 2.32838i | −0.126460 | + | 0.219036i | −0.922303 | − | 0.386468i | \(-0.873695\pi\) |
0.795842 | + | 0.605504i | \(0.207028\pi\) | |||||||
\(114\) | 1.59438 | + | 0.920514i | 0.149327 | + | 0.0862140i | ||||
\(115\) | −19.3143 | + | 19.3143i | −1.80107 | + | 1.80107i | ||||
\(116\) | 2.63647 | + | 1.52217i | 0.244790 | + | 0.141330i | ||||
\(117\) | −0.783899 | − | 3.51930i | −0.0724715 | − | 0.325360i | ||||
\(118\) | 5.11595i | 0.470961i | ||||||||
\(119\) | −9.48871 | + | 18.8066i | −0.869829 | + | 1.72400i | ||||
\(120\) | 5.99815 | + | 10.3891i | 0.547554 | + | 0.948391i | ||||
\(121\) | − | 10.1046i | − | 0.918605i | ||||||
\(122\) | 6.74438 | − | 1.80715i | 0.610608 | − | 0.163612i | ||||
\(123\) | −0.437421 | − | 0.117207i | −0.0394409 | − | 0.0105682i | ||||
\(124\) | −2.84214 | + | 2.84214i | −0.255231 | + | 0.255231i | ||||
\(125\) | −15.3571 | + | 15.3571i | −1.37358 | + | 1.37358i | ||||
\(126\) | −1.85931 | + | 2.08151i | −0.165640 | + | 0.185436i | ||||
\(127\) | −7.89995 | + | 4.56104i | −0.701007 | + | 0.404727i | −0.807722 | − | 0.589563i | \(-0.799300\pi\) |
0.106715 | + | 0.994290i | \(0.465967\pi\) | |||||||
\(128\) | −0.987991 | + | 0.264731i | −0.0873269 | + | 0.0233992i | ||||
\(129\) | 0.0540717 | − | 0.0936549i | 0.00476074 | − | 0.00824585i | ||||
\(130\) | −3.25711 | − | 14.6228i | −0.285668 | − | 1.28250i | ||||
\(131\) | −6.79059 | + | 3.92055i | −0.593297 | + | 0.342540i | −0.766400 | − | 0.642364i | \(-0.777954\pi\) |
0.173103 | + | 0.984904i | \(0.444621\pi\) | |||||||
\(132\) | 0.217273 | − | 0.810875i | 0.0189112 | − | 0.0705776i | ||||
\(133\) | 0.942096 | − | 4.52027i | 0.0816901 | − | 0.391957i | ||||
\(134\) | −4.13300 | − | 2.38619i | −0.357037 | − | 0.206135i | ||||
\(135\) | 3.80456 | + | 1.01943i | 0.327445 | + | 0.0877386i | ||||
\(136\) | 6.27610 | − | 23.4227i | 0.538171 | − | 2.00848i | ||||
\(137\) | 1.96981 | − | 7.35143i | 0.168292 | − | 0.628075i | −0.829305 | − | 0.558796i | \(-0.811263\pi\) |
0.997597 | − | 0.0692792i | \(-0.0220699\pi\) | |||||||
\(138\) | 7.06623 | + | 1.89339i | 0.601517 | + | 0.161176i | ||||
\(139\) | −3.86004 | − | 2.22859i | −0.327404 | − | 0.189027i | 0.327284 | − | 0.944926i | \(-0.393867\pi\) |
−0.654688 | + | 0.755899i | \(0.727200\pi\) | |||||||
\(140\) | 6.15906 | − | 6.89512i | 0.520536 | − | 0.582744i | ||||
\(141\) | 1.19435 | − | 4.45738i | 0.100582 | − | 0.375379i | ||||
\(142\) | −9.46010 | + | 5.46179i | −0.793874 | + | 0.458343i | ||||
\(143\) | −1.83022 | + | 2.87921i | −0.153051 | + | 0.240772i | ||||
\(144\) | 0.719268 | − | 1.24581i | 0.0599390 | − | 0.103817i | ||||
\(145\) | 13.0552 | − | 3.49813i | 1.08417 | − | 0.290504i | ||||
\(146\) | 3.74064 | − | 2.15966i | 0.309578 | − | 0.178735i | ||||
\(147\) | 6.41720 | + | 2.79636i | 0.529281 | + | 0.230640i | ||||
\(148\) | 6.10810 | − | 6.10810i | 0.502082 | − | 0.502082i | ||||
\(149\) | 0.532092 | − | 0.532092i | 0.0435907 | − | 0.0435907i | −0.684975 | − | 0.728566i | \(-0.740187\pi\) |
0.728566 | + | 0.684975i | \(0.240187\pi\) | |||||||
\(150\) | 10.7132 | + | 2.87061i | 0.874733 | + | 0.234384i | ||||
\(151\) | 0.0631804 | − | 0.0169291i | 0.00514154 | − | 0.00137767i | −0.256247 | − | 0.966611i | \(-0.582486\pi\) |
0.261389 | + | 0.965234i | \(0.415819\pi\) | |||||||
\(152\) | 5.31538i | 0.431135i | ||||||||
\(153\) | −3.98087 | − | 6.89506i | −0.321834 | − | 0.557433i | ||||
\(154\) | 2.63674 | − | 0.148672i | 0.212475 | − | 0.0119803i | ||||
\(155\) | 17.8446i | 1.43331i | ||||||||
\(156\) | 2.35623 | − | 2.16342i | 0.188650 | − | 0.173213i | ||||
\(157\) | 6.41355 | + | 3.70286i | 0.511857 | + | 0.295521i | 0.733597 | − | 0.679585i | \(-0.237840\pi\) |
−0.221740 | + | 0.975106i | \(0.571174\pi\) | |||||||
\(158\) | 0.706912 | − | 0.706912i | 0.0562389 | − | 0.0562389i | ||||
\(159\) | −1.29527 | − | 0.747827i | −0.102722 | − | 0.0593065i | ||||
\(160\) | −9.00773 | + | 15.6018i | −0.712124 | + | 1.23343i | ||||
\(161\) | −1.03289 | − | 18.3186i | −0.0814028 | − | 1.44371i | ||||
\(162\) | −0.273028 | − | 1.01896i | −0.0214511 | − | 0.0800567i | ||||
\(163\) | −3.27600 | − | 3.27600i | −0.256596 | − | 0.256596i | 0.567072 | − | 0.823668i | \(-0.308076\pi\) |
−0.823668 | + | 0.567072i | \(0.808076\pi\) | |||||||
\(164\) | −0.103984 | − | 0.388073i | −0.00811978 | − | 0.0303034i | ||||
\(165\) | −1.86349 | − | 3.22766i | −0.145073 | − | 0.251273i | ||||
\(166\) | 6.16183 | − | 10.6726i | 0.478250 | − | 0.828354i | ||||
\(167\) | −12.2105 | − | 3.27179i | −0.944874 | − | 0.253178i | −0.246688 | − | 0.969095i | \(-0.579342\pi\) |
−0.698186 | + | 0.715916i | \(0.746009\pi\) | |||||||
\(168\) | −7.88864 | − | 1.64412i | −0.608622 | − | 0.126846i | ||||
\(169\) | −11.7710 | + | 5.51756i | −0.905462 | + | 0.424427i | ||||
\(170\) | −16.5406 | − | 28.6491i | −1.26860 | − | 2.19729i | ||||
\(171\) | 1.23405 | + | 1.23405i | 0.0943703 | + | 0.0943703i | ||||
\(172\) | 0.0959431 | 0.00731559 | ||||||||
\(173\) | 18.3187 | 1.39275 | 0.696374 | − | 0.717679i | \(-0.254795\pi\) | ||||
0.696374 | + | 0.717679i | \(0.254795\pi\) | |||||||
\(174\) | −2.55962 | − | 2.55962i | −0.194044 | − | 0.194044i | ||||
\(175\) | −1.56598 | − | 27.7732i | −0.118377 | − | 2.09945i | ||||
\(176\) | −1.31480 | + | 0.352301i | −0.0991070 | + | 0.0265557i | ||||
\(177\) | −1.25519 | + | 4.68445i | −0.0943462 | + | 0.352105i | ||||
\(178\) | −4.89837 | + | 2.82807i | −0.367148 | + | 0.211973i | ||||
\(179\) | 17.9406i | 1.34095i | 0.741934 | + | 0.670473i | \(0.233909\pi\) | ||||
−0.741934 | + | 0.670473i | \(0.766091\pi\) | |||||||
\(180\) | 0.904422 | + | 3.37535i | 0.0674116 | + | 0.251584i | ||||
\(181\) | 11.3348 | 0.842512 | 0.421256 | − | 0.906942i | \(-0.361589\pi\) | ||||
0.421256 | + | 0.906942i | \(0.361589\pi\) | |||||||
\(182\) | 8.78298 | + | 4.91178i | 0.651037 | + | 0.364085i | ||||
\(183\) | 6.61892 | 0.489284 | ||||||||
\(184\) | 5.46657 | + | 20.4015i | 0.403001 | + | 1.50402i | ||||
\(185\) | − | 38.3503i | − | 2.81957i | ||||||
\(186\) | 4.13893 | − | 2.38961i | 0.303481 | − | 0.175215i | ||||
\(187\) | −1.94985 | + | 7.27693i | −0.142587 | + | 0.532141i | ||||
\(188\) | 3.95451 | − | 1.05961i | 0.288413 | − | 0.0772799i | ||||
\(189\) | −2.21318 | + | 1.44977i | −0.160985 | + | 0.105455i | ||||
\(190\) | 5.12751 | + | 5.12751i | 0.371989 | + | 0.371989i | ||||
\(191\) | −14.6688 | −1.06139 | −0.530697 | − | 0.847562i | \(-0.678070\pi\) | ||||
−0.530697 | + | 0.847562i | \(0.678070\pi\) | |||||||
\(192\) | 7.70205 | 0.555848 | ||||||||
\(193\) | 8.28684 | + | 8.28684i | 0.596500 | + | 0.596500i | 0.939379 | − | 0.342880i | \(-0.111402\pi\) |
−0.342880 | + | 0.939379i | \(0.611402\pi\) | |||||||
\(194\) | −6.30714 | − | 10.9243i | −0.452826 | − | 0.784318i | ||||
\(195\) | 0.605291 | − | 14.1885i | 0.0433458 | − | 1.01606i | ||||
\(196\) | 0.698110 | + | 6.17093i | 0.0498650 | + | 0.440781i | ||||
\(197\) | −10.2849 | − | 2.75584i | −0.732772 | − | 0.196346i | −0.126909 | − | 0.991914i | \(-0.540505\pi\) |
−0.605863 | + | 0.795569i | \(0.707172\pi\) | |||||||
\(198\) | −0.499089 | + | 0.864448i | −0.0354687 | + | 0.0614336i | ||||
\(199\) | 10.6276 | + | 18.4076i | 0.753372 | + | 1.30488i | 0.946179 | + | 0.323643i | \(0.104908\pi\) |
−0.192807 | + | 0.981237i | \(0.561759\pi\) | |||||||
\(200\) | 8.28797 | + | 30.9311i | 0.586048 | + | 2.18716i | ||||
\(201\) | −3.19896 | − | 3.19896i | −0.225637 | − | 0.225637i | ||||
\(202\) | 5.11021 | + | 19.0716i | 0.359553 | + | 1.34187i | ||||
\(203\) | −4.08957 | + | 8.10553i | −0.287032 | + | 0.568897i | ||||
\(204\) | 3.53176 | − | 6.11719i | 0.247273 | − | 0.428289i | ||||
\(205\) | −1.54471 | − | 0.891841i | −0.107887 | − | 0.0622888i | ||||
\(206\) | −4.90559 | + | 4.90559i | −0.341789 | + | 0.341789i | ||||
\(207\) | 6.00569 | + | 3.46739i | 0.417424 | + | 0.241000i | ||||
\(208\) | −4.94821 | − | 1.55473i | −0.343097 | − | 0.107801i | ||||
\(209\) | − | 1.65137i | − | 0.114228i | ||||||
\(210\) | −9.19581 | + | 6.02380i | −0.634571 | + | 0.415682i | ||||
\(211\) | −11.7558 | − | 20.3617i | −0.809305 | − | 1.40176i | −0.913346 | − | 0.407184i | \(-0.866511\pi\) |
0.104041 | − | 0.994573i | \(-0.466823\pi\) | |||||||
\(212\) | − | 1.32692i | − | 0.0911332i | ||||||
\(213\) | −10.0022 | + | 2.68009i | −0.685342 | + | 0.183637i | ||||
\(214\) | 5.29197 | + | 1.41798i | 0.361752 | + | 0.0969310i | ||||
\(215\) | 0.301194 | − | 0.301194i | 0.0205412 | − | 0.0205412i | ||||
\(216\) | 2.15363 | − | 2.15363i | 0.146536 | − | 0.146536i | ||||
\(217\) | −8.93950 | − | 7.98521i | −0.606853 | − | 0.542071i | ||||
\(218\) | −10.4272 | + | 6.02014i | −0.706218 | + | 0.407735i | ||||
\(219\) | 3.95501 | − | 1.05974i | 0.267255 | − | 0.0716107i | ||||
\(220\) | 1.65326 | − | 2.86353i | 0.111463 | − | 0.193059i | ||||
\(221\) | −21.1452 | + | 19.4149i | −1.42238 | + | 1.30599i | ||||
\(222\) | −8.89507 | + | 5.13557i | −0.596998 | + | 0.344677i | ||||
\(223\) | 1.56806 | − | 5.85209i | 0.105005 | − | 0.391885i | −0.893341 | − | 0.449380i | \(-0.851645\pi\) |
0.998346 | + | 0.0574955i | \(0.0183115\pi\) | |||||||
\(224\) | −3.78512 | − | 11.4941i | −0.252904 | − | 0.767984i | ||||
\(225\) | 9.10535 | + | 5.25697i | 0.607023 | + | 0.350465i | ||||
\(226\) | 2.73955 | + | 0.734061i | 0.182232 | + | 0.0488290i | ||||
\(227\) | −5.40197 | + | 20.1604i | −0.358541 | + | 1.33809i | 0.517427 | + | 0.855727i | \(0.326890\pi\) |
−0.875969 | + | 0.482368i | \(0.839777\pi\) | |||||||
\(228\) | −0.400736 | + | 1.49557i | −0.0265394 | + | 0.0990464i | ||||
\(229\) | 21.1882 | + | 5.67737i | 1.40016 | + | 0.375171i | 0.878402 | − | 0.477923i | \(-0.158610\pi\) |
0.521756 | + | 0.853094i | \(0.325277\pi\) | |||||||
\(230\) | 24.9537 | + | 14.4070i | 1.64540 | + | 0.949973i | ||||
\(231\) | 2.45082 | + | 0.510791i | 0.161252 | + | 0.0336076i | ||||
\(232\) | 2.70496 | − | 10.0950i | 0.177589 | − | 0.662772i | ||||
\(233\) | −9.92317 | + | 5.72914i | −0.650088 | + | 0.375329i | −0.788490 | − | 0.615048i | \(-0.789137\pi\) |
0.138402 | + | 0.990376i | \(0.455803\pi\) | |||||||
\(234\) | −3.37199 | + | 1.75963i | −0.220434 | + | 0.115031i | ||||
\(235\) | 9.08797 | − | 15.7408i | 0.592833 | − | 1.02682i | ||||
\(236\) | −4.15597 | + | 1.11359i | −0.270531 | + | 0.0724884i | ||||
\(237\) | 0.820728 | − | 0.473848i | 0.0533120 | − | 0.0307797i | ||||
\(238\) | 21.7538 | + | 4.53384i | 1.41009 | + | 0.293885i | ||||
\(239\) | 4.89413 | − | 4.89413i | 0.316575 | − | 0.316575i | −0.530875 | − | 0.847450i | \(-0.678137\pi\) |
0.847450 | + | 0.530875i | \(0.178137\pi\) | |||||||
\(240\) | 4.00652 | − | 4.00652i | 0.258619 | − | 0.258619i | ||||
\(241\) | −8.01914 | − | 2.14872i | −0.516559 | − | 0.138411i | −0.00888426 | − | 0.999961i | \(-0.502828\pi\) |
−0.507674 | + | 0.861549i | \(0.669495\pi\) | |||||||
\(242\) | −10.2962 | + | 2.75886i | −0.661864 | + | 0.177346i | ||||
\(243\) | − | 1.00000i | − | 0.0641500i | ||||||
\(244\) | 2.93610 | + | 5.08547i | 0.187964 | + | 0.325564i | ||||
\(245\) | 21.5639 | + | 17.1808i | 1.37767 | + | 1.09764i | ||||
\(246\) | 0.477714i | 0.0304579i | ||||||||
\(247\) | 3.37563 | − | 5.31038i | 0.214786 | − | 0.337891i | ||||
\(248\) | 11.9499 | + | 6.89926i | 0.758817 | + | 0.438103i | ||||
\(249\) | 8.26062 | − | 8.26062i | 0.523496 | − | 0.523496i | ||||
\(250\) | 19.8411 | + | 11.4553i | 1.25486 | + | 0.724495i | ||||
\(251\) | 7.81291 | − | 13.5324i | 0.493146 | − | 0.854155i | −0.506822 | − | 0.862050i | \(-0.669180\pi\) |
0.999969 | + | 0.00789592i | \(0.00251338\pi\) | |||||||
\(252\) | −2.09564 | − | 1.05734i | −0.132013 | − | 0.0666060i | ||||
\(253\) | −1.69834 | − | 6.33829i | −0.106774 | − | 0.398485i | ||||
\(254\) | 6.80441 | + | 6.80441i | 0.426946 | + | 0.426946i | ||||
\(255\) | −8.11643 | − | 30.2909i | −0.508271 | − | 1.89689i | ||||
\(256\) | 8.24155 | + | 14.2748i | 0.515097 | + | 0.892174i | ||||
\(257\) | 0.281936 | − | 0.488328i | 0.0175867 | − | 0.0304611i | −0.857098 | − | 0.515153i | \(-0.827735\pi\) |
0.874685 | + | 0.484692i | \(0.161068\pi\) | |||||||
\(258\) | −0.110193 | − | 0.0295262i | −0.00686033 | − | 0.00183822i | ||||
\(259\) | 19.2121 | + | 17.1612i | 1.19378 | + | 1.06634i | ||||
\(260\) | 11.1699 | − | 5.82887i | 0.692728 | − | 0.361491i | ||||
\(261\) | −1.71573 | − | 2.97173i | −0.106201 | − | 0.183945i | ||||
\(262\) | 5.84889 | + | 5.84889i | 0.361346 | + | 0.361346i | ||||
\(263\) | 1.80864 | 0.111526 | 0.0557628 | − | 0.998444i | \(-0.482241\pi\) | ||||
0.0557628 | + | 0.998444i | \(0.482241\pi\) | |||||||
\(264\) | −2.88192 | −0.177370 | ||||||||
\(265\) | −4.16560 | − | 4.16560i | −0.255891 | − | 0.255891i | ||||
\(266\) | −4.86318 | + | 0.274208i | −0.298180 | + | 0.0168128i | ||||
\(267\) | −5.17908 | + | 1.38773i | −0.316955 | + | 0.0849277i | ||||
\(268\) | 1.03880 | − | 3.87687i | 0.0634550 | − | 0.236817i | ||||
\(269\) | 3.98883 | − | 2.30295i | 0.243203 | − | 0.140413i | −0.373445 | − | 0.927652i | \(-0.621824\pi\) |
0.616648 | + | 0.787239i | \(0.288490\pi\) | |||||||
\(270\) | − | 4.15502i | − | 0.252866i | ||||||
\(271\) | −1.05005 | − | 3.91882i | −0.0637857 | − | 0.238052i | 0.926671 | − | 0.375872i | \(-0.122657\pi\) |
−0.990457 | + | 0.137821i | \(0.955990\pi\) | |||||||
\(272\) | −11.4532 | −0.694455 | ||||||||
\(273\) | 6.83708 | + | 6.65239i | 0.413799 | + | 0.402621i | ||||
\(274\) | −8.02860 | −0.485026 | ||||||||
\(275\) | −2.57489 | − | 9.60962i | −0.155272 | − | 0.579482i | ||||
\(276\) | 6.15242i | 0.370332i | ||||||||
\(277\) | −10.5733 | + | 6.10452i | −0.635291 | + | 0.366785i | −0.782798 | − | 0.622276i | \(-0.786208\pi\) |
0.147507 | + | 0.989061i | \(0.452875\pi\) | |||||||
\(278\) | −1.21694 | + | 4.54168i | −0.0729871 | + | 0.272392i | ||||
\(279\) | 4.37613 | − | 1.17258i | 0.261992 | − | 0.0702005i | ||||
\(280\) | −28.3368 | − | 14.2971i | −1.69345 | − | 0.854413i | ||||
\(281\) | 0.757979 | + | 0.757979i | 0.0452172 | + | 0.0452172i | 0.729354 | − | 0.684137i | \(-0.239821\pi\) |
−0.684137 | + | 0.729354i | \(0.739821\pi\) | |||||||
\(282\) | −4.86796 | −0.289883 | ||||||||
\(283\) | 20.6773 | 1.22914 | 0.614568 | − | 0.788864i | \(-0.289331\pi\) | ||||
0.614568 | + | 0.788864i | \(0.289331\pi\) | |||||||
\(284\) | −6.49609 | − | 6.49609i | −0.385472 | − | 0.385472i | ||||
\(285\) | 3.43700 | + | 5.95306i | 0.203590 | + | 0.352629i | ||||
\(286\) | 3.43349 | + | 1.07881i | 0.203026 | + | 0.0637912i | ||||
\(287\) | 1.13802 | − | 0.374759i | 0.0671749 | − | 0.0221213i | ||||
\(288\) | 4.41802 | + | 1.18381i | 0.260334 | + | 0.0697564i | ||||
\(289\) | −23.1946 | + | 40.1742i | −1.36439 | + | 2.36319i | ||||
\(290\) | −7.12888 | − | 12.3476i | −0.418622 | − | 0.725075i | ||||
\(291\) | −3.09490 | − | 11.5503i | −0.181426 | − | 0.677092i | ||||
\(292\) | 2.56864 | + | 2.56864i | 0.150318 | + | 0.150318i | ||||
\(293\) | 0.652210 | + | 2.43408i | 0.0381025 | + | 0.142201i | 0.982357 | − | 0.187017i | \(-0.0598818\pi\) |
−0.944254 | + | 0.329217i | \(0.893215\pi\) | |||||||
\(294\) | 1.09729 | − | 7.30232i | 0.0639951 | − | 0.425880i | ||||
\(295\) | −9.55094 | + | 16.5427i | −0.556077 | + | 0.963154i | ||||
\(296\) | −25.6817 | − | 14.8273i | −1.49272 | − | 0.861822i | ||||
\(297\) | −0.669085 | + | 0.669085i | −0.0388243 | + | 0.0388243i | ||||
\(298\) | −0.687454 | − | 0.396902i | −0.0398232 | − | 0.0229919i | ||||
\(299\) | 7.49493 | − | 23.8539i | 0.433443 | − | 1.37951i | ||||
\(300\) | 9.32781i | 0.538541i | ||||||||
\(301\) | 0.0161072 | + | 0.285667i | 0.000928403 | + | 0.0164655i | ||||
\(302\) | −0.0345001 | − | 0.0597559i | −0.00198526 | − | 0.00343856i | ||||
\(303\) | 18.7168i | 1.07525i | ||||||||
\(304\) | 2.42501 | − | 0.649779i | 0.139084 | − | 0.0372674i | ||||
\(305\) | 25.1821 | + | 6.74752i | 1.44192 | + | 0.386362i | ||||
\(306\) | −5.93888 | + | 5.93888i | −0.339503 | + | 0.339503i | ||||
\(307\) | −14.0560 | + | 14.0560i | −0.802217 | + | 0.802217i | −0.983442 | − | 0.181225i | \(-0.941994\pi\) |
0.181225 | + | 0.983442i | \(0.441994\pi\) | |||||||
\(308\) | 0.694714 | + | 2.10961i | 0.0395850 | + | 0.120206i | ||||
\(309\) | −5.69542 | + | 3.28825i | −0.324001 | + | 0.187062i | ||||
\(310\) | 18.1829 | − | 4.87209i | 1.03272 | − | 0.276716i | ||||
\(311\) | −5.07374 | + | 8.78798i | −0.287706 | + | 0.498321i | −0.973262 | − | 0.229699i | \(-0.926226\pi\) |
0.685556 | + | 0.728020i | \(0.259559\pi\) | |||||||
\(312\) | −9.26751 | − | 5.89105i | −0.524669 | − | 0.333515i | ||||
\(313\) | −23.2110 | + | 13.4009i | −1.31196 | + | 0.757461i | −0.982421 | − | 0.186680i | \(-0.940227\pi\) |
−0.329540 | + | 0.944141i | \(0.606894\pi\) | |||||||
\(314\) | 2.02197 | − | 7.54611i | 0.114107 | − | 0.425852i | ||||
\(315\) | −9.89813 | + | 3.25954i | −0.557697 | + | 0.183655i | ||||
\(316\) | 0.728137 | + | 0.420390i | 0.0409609 | + | 0.0236488i | ||||
\(317\) | 12.3700 | + | 3.31452i | 0.694767 | + | 0.186162i | 0.588885 | − | 0.808217i | \(-0.299567\pi\) |
0.105881 | + | 0.994379i | \(0.466234\pi\) | |||||||
\(318\) | −0.408356 | + | 1.52400i | −0.0228995 | + | 0.0854620i | ||||
\(319\) | −0.840371 | + | 3.13631i | −0.0470517 | + | 0.175599i | ||||
\(320\) | 29.3030 | + | 7.85171i | 1.63809 | + | 0.438924i | ||||
\(321\) | 4.49772 | + | 2.59676i | 0.251038 | + | 0.144937i | ||||
\(322\) | −18.3838 | + | 6.05396i | −1.02449 | + | 0.337374i | ||||
\(323\) | 3.59627 | − | 13.4215i | 0.200102 | − | 0.746791i | ||||
\(324\) | 0.768324 | − | 0.443592i | 0.0426847 | − | 0.0246440i | ||||
\(325\) | 11.3632 | − | 36.1654i | 0.630318 | − | 2.00610i | ||||
\(326\) | −2.44366 | + | 4.23254i | −0.135342 | + | 0.234419i | ||||
\(327\) | −11.0247 | + | 2.95407i | −0.609670 | + | 0.163361i | ||||
\(328\) | −1.19446 | + | 0.689624i | −0.0659532 | + | 0.0380781i | ||||
\(329\) | 3.81884 | + | 11.5965i | 0.210539 | + | 0.639337i | ||||
\(330\) | −2.78006 | + | 2.78006i | −0.153037 | + | 0.153037i | ||||
\(331\) | −0.534490 | + | 0.534490i | −0.0293782 | + | 0.0293782i | −0.721643 | − | 0.692265i | \(-0.756613\pi\) |
0.692265 | + | 0.721643i | \(0.256613\pi\) | |||||||
\(332\) | 10.0112 | + | 2.68249i | 0.549435 | + | 0.147221i | ||||
\(333\) | −9.40483 | + | 2.52002i | −0.515381 | + | 0.138096i | ||||
\(334\) | 13.3352i | 0.729671i | ||||||||
\(335\) | −8.90953 | − | 15.4318i | −0.486779 | − | 0.843127i | ||||
\(336\) | 0.214260 | + | 3.79997i | 0.0116888 | + | 0.207305i | ||||
\(337\) | − | 12.9685i | − | 0.706440i | −0.935540 | − | 0.353220i | \(-0.885087\pi\) | ||
0.935540 | − | 0.353220i | \(-0.114913\pi\) | |||||||
\(338\) | 8.83597 | + | 10.4877i | 0.480613 | + | 0.570455i | ||||
\(339\) | 2.32838 | + | 1.34429i | 0.126460 | + | 0.0730120i | ||||
\(340\) | 19.6729 | − | 19.6729i | 1.06691 | − | 1.06691i | ||||
\(341\) | −3.71256 | − | 2.14345i | −0.201046 | − | 0.116074i | ||||
\(342\) | 0.920514 | − | 1.59438i | 0.0497757 | − | 0.0862140i | ||||
\(343\) | −18.2565 | + | 3.11459i | −0.985758 | + | 0.168172i | ||||
\(344\) | −0.0852476 | − | 0.318148i | −0.00459624 | − | 0.0171534i | ||||
\(345\) | 19.3143 | + | 19.3143i | 1.03985 | + | 1.03985i | ||||
\(346\) | −5.00154 | − | 18.6660i | −0.268884 | − | 1.00349i | ||||
\(347\) | 7.19316 | + | 12.4589i | 0.386149 | + | 0.668830i | 0.991928 | − | 0.126803i | \(-0.0404718\pi\) |
−0.605779 | + | 0.795633i | \(0.707138\pi\) | |||||||
\(348\) | 1.52217 | − | 2.63647i | 0.0815967 | − | 0.141330i | ||||
\(349\) | −32.9693 | − | 8.83410i | −1.76481 | − | 0.472879i | −0.777125 | − | 0.629347i | \(-0.783323\pi\) |
−0.987683 | + | 0.156468i | \(0.949989\pi\) | |||||||
\(350\) | −27.8721 | + | 9.17853i | −1.48983 | + | 0.490613i | ||||
\(351\) | −3.51930 | + | 0.783899i | −0.187847 | + | 0.0418414i | ||||
\(352\) | −2.16397 | − | 3.74810i | −0.115340 | − | 0.199774i | ||||
\(353\) | −3.92198 | − | 3.92198i | −0.208746 | − | 0.208746i | 0.594988 | − | 0.803734i | \(-0.297157\pi\) |
−0.803734 | + | 0.594988i | \(0.797157\pi\) | |||||||
\(354\) | 5.11595 | 0.271910 | ||||||||
\(355\) | −40.7863 | −2.16471 | ||||||||
\(356\) | −3.36363 | − | 3.36363i | −0.178272 | − | 0.178272i | ||||
\(357\) | 18.8066 | + | 9.48871i | 0.995352 | + | 0.502196i | ||||
\(358\) | 18.2807 | − | 4.89831i | 0.966166 | − | 0.258883i | ||||
\(359\) | 1.72057 | − | 6.42126i | 0.0908083 | − | 0.338901i | −0.905542 | − | 0.424256i | \(-0.860536\pi\) |
0.996351 | + | 0.0853548i | \(0.0272024\pi\) | |||||||
\(360\) | 10.3891 | − | 5.99815i | 0.547554 | − | 0.316130i | ||||
\(361\) | − | 15.9542i | − | 0.839696i | ||||||
\(362\) | −3.09473 | − | 11.5497i | −0.162656 | − | 0.607039i | ||||
\(363\) | −10.1046 | −0.530357 | ||||||||
\(364\) | −2.07832 | + | 8.20404i | −0.108934 | + | 0.430009i | ||||
\(365\) | 16.1274 | 0.844148 | ||||||||
\(366\) | −1.80715 | − | 6.74438i | −0.0944614 | − | 0.352535i | ||||
\(367\) | − | 7.15046i | − | 0.373251i | −0.982431 | − | 0.186626i | \(-0.940245\pi\) | ||
0.982431 | − | 0.186626i | \(-0.0597551\pi\) | |||||||
\(368\) | 8.63940 | − | 4.98796i | 0.450360 | − | 0.260015i | ||||
\(369\) | −0.117207 | + | 0.437421i | −0.00610153 | + | 0.0227712i | ||||
\(370\) | −39.0772 | + | 10.4707i | −2.03153 | + | 0.544346i | ||||
\(371\) | 3.95085 | − | 0.222767i | 0.205118 | − | 0.0115655i | ||||
\(372\) | 2.84214 | + | 2.84214i | 0.147358 | + | 0.147358i | ||||
\(373\) | 15.3396 | 0.794254 | 0.397127 | − | 0.917764i | \(-0.370007\pi\) | ||||
0.397127 | + | 0.917764i | \(0.370007\pi\) | |||||||
\(374\) | 7.94723 | 0.410941 | ||||||||
\(375\) | 15.3571 | + | 15.3571i | 0.793037 | + | 0.793037i | ||||
\(376\) | −7.02735 | − | 12.1717i | −0.362408 | − | 0.627709i | ||||
\(377\) | −9.11346 | + | 8.36770i | −0.469367 | + | 0.430958i | ||||
\(378\) | 2.08151 | + | 1.85931i | 0.107061 | + | 0.0956325i | ||||
\(379\) | −22.8646 | − | 6.12656i | −1.17448 | − | 0.314700i | −0.381743 | − | 0.924268i | \(-0.624676\pi\) |
−0.792734 | + | 0.609568i | \(0.791343\pi\) | |||||||
\(380\) | −3.04925 | + | 5.28146i | −0.156423 | + | 0.270933i | ||||
\(381\) | 4.56104 | + | 7.89995i | 0.233669 | + | 0.404727i | ||||
\(382\) | 4.00499 | + | 14.9468i | 0.204913 | + | 0.764746i | ||||
\(383\) | −0.437956 | − | 0.437956i | −0.0223785 | − | 0.0223785i | 0.695829 | − | 0.718207i | \(-0.255037\pi\) |
−0.718207 | + | 0.695829i | \(0.755037\pi\) | |||||||
\(384\) | 0.264731 | + | 0.987991i | 0.0135095 | + | 0.0504182i | ||||
\(385\) | 8.80361 | + | 4.44178i | 0.448673 | + | 0.226374i | ||||
\(386\) | 6.18138 | − | 10.7065i | 0.314624 | − | 0.544945i | ||||
\(387\) | −0.0936549 | − | 0.0540717i | −0.00476074 | − | 0.00274862i | ||||
\(388\) | 7.50152 | − | 7.50152i | 0.380832 | − | 0.380832i | ||||
\(389\) | 8.18610 | + | 4.72624i | 0.415052 | + | 0.239630i | 0.692958 | − | 0.720978i | \(-0.256307\pi\) |
−0.277906 | + | 0.960608i | \(0.589640\pi\) | |||||||
\(390\) | −14.6228 | + | 3.25711i | −0.740453 | + | 0.164930i | ||||
\(391\) | − | 55.2128i | − | 2.79223i | ||||||
\(392\) | 19.8426 | − | 7.79795i | 1.00220 | − | 0.393856i | ||||
\(393\) | 3.92055 | + | 6.79059i | 0.197766 | + | 0.342540i | ||||
\(394\) | 11.2323i | 0.565876i | ||||||||
\(395\) | 3.60557 | − | 0.966109i | 0.181416 | − | 0.0486102i | ||||
\(396\) | −0.810875 | − | 0.217273i | −0.0407480 | − | 0.0109184i | ||||
\(397\) | 6.32238 | − | 6.32238i | 0.317311 | − | 0.317311i | −0.530422 | − | 0.847734i | \(-0.677967\pi\) |
0.847734 | + | 0.530422i | \(0.177967\pi\) | |||||||
\(398\) | 15.8549 | − | 15.8549i | 0.794733 | − | 0.794733i | ||||
\(399\) | −4.52027 | − | 0.942096i | −0.226297 | − | 0.0471638i | ||||
\(400\) | 13.0984 | − | 7.56234i | 0.654918 | − | 0.378117i | ||||
\(401\) | 6.40587 | − | 1.71645i | 0.319894 | − | 0.0857153i | −0.0952991 | − | 0.995449i | \(-0.530381\pi\) |
0.415193 | + | 0.909733i | \(0.363714\pi\) | |||||||
\(402\) | −2.38619 | + | 4.13300i | −0.119012 | + | 0.206135i | ||||
\(403\) | −7.55711 | − | 14.4817i | −0.376446 | − | 0.721387i | ||||
\(404\) | −14.3805 | + | 8.30261i | −0.715459 | + | 0.413070i | ||||
\(405\) | 1.01943 | − | 3.80456i | 0.0506559 | − | 0.189050i | ||||
\(406\) | 9.37575 | + | 1.95405i | 0.465310 | + | 0.0969781i | ||||
\(407\) | 7.97874 | + | 4.60653i | 0.395491 | + | 0.228337i | ||||
\(408\) | −23.4227 | − | 6.27610i | −1.15960 | − | 0.310713i | ||||
\(409\) | −4.23667 | + | 15.8115i | −0.209490 | + | 0.781826i | 0.778544 | + | 0.627590i | \(0.215958\pi\) |
−0.988034 | + | 0.154236i | \(0.950708\pi\) | |||||||
\(410\) | −0.486996 | + | 1.81749i | −0.0240510 | + | 0.0897596i | ||||
\(411\) | −7.35143 | − | 1.96981i | −0.362619 | − | 0.0971636i | ||||
\(412\) | −5.05288 | − | 2.91728i | −0.248938 | − | 0.143724i | ||||
\(413\) | −4.01338 | − | 12.1873i | −0.197486 | − | 0.599697i | ||||
\(414\) | 1.89339 | − | 7.06623i | 0.0930550 | − | 0.347286i | ||||
\(415\) | 39.8492 | − | 23.0069i | 1.95612 | − | 1.12937i | ||||
\(416\) | 0.702890 | − | 16.4763i | 0.0344620 | − | 0.807820i | ||||
\(417\) | −2.22859 | + | 3.86004i | −0.109135 | + | 0.189027i | ||||
\(418\) | −1.68268 | + | 0.450872i | −0.0823024 | + | 0.0220529i | ||||
\(419\) | −19.8994 | + | 11.4889i | −0.972150 | + | 0.561271i | −0.899891 | − | 0.436115i | \(-0.856354\pi\) |
−0.0722588 | + | 0.997386i | \(0.523021\pi\) | |||||||
\(420\) | −6.89512 | − | 6.15906i | −0.336447 | − | 0.300532i | ||||
\(421\) | −3.33707 | + | 3.33707i | −0.162639 | + | 0.162639i | −0.783735 | − | 0.621096i | \(-0.786688\pi\) |
0.621096 | + | 0.783735i | \(0.286688\pi\) | |||||||
\(422\) | −17.5380 | + | 17.5380i | −0.853736 | + | 0.853736i | ||||
\(423\) | −4.45738 | − | 1.19435i | −0.216725 | − | 0.0580713i | ||||
\(424\) | −4.40008 | + | 1.17900i | −0.213687 | + | 0.0572572i | ||||
\(425\) | − | 83.7093i | − | 4.06050i | ||||||
\(426\) | 5.46179 | + | 9.46010i | 0.264625 | + | 0.458343i | ||||
\(427\) | −14.6489 | + | 9.59588i | −0.708909 | + | 0.464377i | ||||
\(428\) | 4.60761i | 0.222717i | ||||||||
\(429\) | 2.87921 | + | 1.83022i | 0.139010 | + | 0.0883638i | ||||
\(430\) | −0.389138 | − | 0.224669i | −0.0187659 | − | 0.0108345i | ||||
\(431\) | 19.9189 | − | 19.9189i | 0.959459 | − | 0.959459i | −0.0397503 | − | 0.999210i | \(-0.512656\pi\) |
0.999210 | + | 0.0397503i | \(0.0126562\pi\) | |||||||
\(432\) | −1.24581 | − | 0.719268i | −0.0599390 | − | 0.0346058i | ||||
\(433\) | 9.88975 | − | 17.1295i | 0.475271 | − | 0.823193i | −0.524328 | − | 0.851516i | \(-0.675683\pi\) |
0.999599 | + | 0.0283231i | \(0.00901674\pi\) | |||||||
\(434\) | −5.69584 | + | 11.2891i | −0.273409 | + | 0.541896i | ||||
\(435\) | −3.49813 | − | 13.0552i | −0.167722 | − | 0.625948i | ||||
\(436\) | −7.16017 | − | 7.16017i | −0.342910 | − | 0.342910i | ||||
\(437\) | 3.13240 | + | 11.6903i | 0.149843 | + | 0.559221i | ||||
\(438\) | −2.15966 | − | 3.74064i | −0.103193 | − | 0.178735i | ||||
\(439\) | 10.9538 | − | 18.9726i | 0.522797 | − | 0.905511i | −0.476851 | − | 0.878984i | \(-0.658222\pi\) |
0.999648 | − | 0.0265271i | \(-0.00844483\pi\) | |||||||
\(440\) | −10.9645 | − | 2.93792i | −0.522710 | − | 0.140060i | ||||
\(441\) | 2.79636 | − | 6.41720i | 0.133160 | − | 0.305581i | ||||
\(442\) | 25.5562 | + | 16.2452i | 1.21558 | + | 0.772707i | ||||
\(443\) | 9.87688 | + | 17.1073i | 0.469265 | + | 0.812791i | 0.999383 | − | 0.0351334i | \(-0.0111856\pi\) |
−0.530118 | + | 0.847924i | \(0.677852\pi\) | |||||||
\(444\) | −6.10810 | − | 6.10810i | −0.289877 | − | 0.289877i | ||||
\(445\) | −21.1188 | −1.00113 | ||||||||
\(446\) | −6.39114 | −0.302629 | ||||||||
\(447\) | −0.532092 | − | 0.532092i | −0.0251671 | − | 0.0251671i | ||||
\(448\) | −17.0461 | + | 11.1662i | −0.805350 | + | 0.527552i | ||||
\(449\) | −31.7673 | + | 8.51202i | −1.49919 | + | 0.401707i | −0.912829 | − | 0.408342i | \(-0.866107\pi\) |
−0.586362 | + | 0.810049i | \(0.699440\pi\) | |||||||
\(450\) | 2.87061 | − | 10.7132i | 0.135322 | − | 0.505027i | ||||
\(451\) | 0.371093 | − | 0.214251i | 0.0174741 | − | 0.0100887i | ||||
\(452\) | 2.38527i | 0.112194i | ||||||||
\(453\) | −0.0169291 | − | 0.0631804i | −0.000795400 | − | 0.00296847i | ||||
\(454\) | 22.0175 | 1.03333 | ||||||||
\(455\) | 19.2305 | + | 32.2794i | 0.901538 | + | 1.51328i | ||||
\(456\) | 5.31538 | 0.248916 | ||||||||
\(457\) | 4.06045 | + | 15.1538i | 0.189940 | + | 0.708866i | 0.993519 | + | 0.113668i | \(0.0362599\pi\) |
−0.803579 | + | 0.595198i | \(0.797073\pi\) | |||||||
\(458\) | − | 23.1400i | − | 1.08126i | ||||||
\(459\) | −6.89506 | + | 3.98087i | −0.321834 | + | 0.185811i | ||||
\(460\) | −6.27196 | + | 23.4073i | −0.292432 | + | 1.09137i | ||||
\(461\) | 1.60974 | − | 0.431329i | 0.0749731 | − | 0.0200890i | −0.221138 | − | 0.975243i | \(-0.570977\pi\) |
0.296111 | + | 0.955154i | \(0.404310\pi\) | |||||||
\(462\) | −0.148672 | − | 2.63674i | −0.00691683 | − | 0.122672i | ||||
\(463\) | −18.8646 | − | 18.8646i | −0.876713 | − | 0.876713i | 0.116480 | − | 0.993193i | \(-0.462839\pi\) |
−0.993193 | + | 0.116480i | \(0.962839\pi\) | |||||||
\(464\) | −4.93627 | −0.229161 | ||||||||
\(465\) | 17.8446 | 0.827525 | ||||||||
\(466\) | 8.54705 | + | 8.54705i | 0.395934 | + | 0.395934i | ||||
\(467\) | 11.4518 | + | 19.8351i | 0.529926 | + | 0.917859i | 0.999391 | + | 0.0349075i | \(0.0111136\pi\) |
−0.469465 | + | 0.882951i | \(0.655553\pi\) | |||||||
\(468\) | −2.16342 | − | 2.35623i | −0.100004 | − | 0.108917i | ||||
\(469\) | 11.7176 | + | 2.44214i | 0.541069 | + | 0.112767i | ||||
\(470\) | −18.5205 | − | 4.96255i | −0.854286 | − | 0.228905i | ||||
\(471\) | 3.70286 | − | 6.41355i | 0.170619 | − | 0.295521i | ||||
\(472\) | 7.38535 | + | 12.7918i | 0.339938 | + | 0.588790i | ||||
\(473\) | 0.0264845 | + | 0.0988416i | 0.00121776 | + | 0.00454474i | ||||
\(474\) | −0.706912 | − | 0.706912i | −0.0324695 | − | 0.0324695i | ||||
\(475\) | 4.74909 | + | 17.7239i | 0.217903 | + | 0.813226i | ||||
\(476\) | 1.05206 | + | 18.6587i | 0.0482212 | + | 0.855220i | ||||
\(477\) | −0.747827 | + | 1.29527i | −0.0342406 | + | 0.0593065i | ||||
\(478\) | −6.32315 | − | 3.65067i | −0.289214 | − | 0.166978i | ||||
\(479\) | −0.542389 | + | 0.542389i | −0.0247824 | + | 0.0247824i | −0.719389 | − | 0.694607i | \(-0.755578\pi\) |
0.694607 | + | 0.719389i | \(0.255578\pi\) | |||||||
\(480\) | 15.6018 | + | 9.00773i | 0.712124 | + | 0.411145i | ||||
\(481\) | 16.2411 | + | 31.1230i | 0.740532 | + | 1.41909i | ||||
\(482\) | 8.75782i | 0.398908i | ||||||||
\(483\) | −18.3186 | + | 1.03289i | −0.833524 | + | 0.0469979i | ||||
\(484\) | −4.48234 | − | 7.76365i | −0.203743 | − | 0.352893i | ||||
\(485\) | − | 47.0990i | − | 2.13866i | ||||||
\(486\) | −1.01896 | + | 0.273028i | −0.0462208 | + | 0.0123848i | ||||
\(487\) | 7.13339 | + | 1.91138i | 0.323245 | + | 0.0866131i | 0.416792 | − | 0.909002i | \(-0.363154\pi\) |
−0.0935479 | + | 0.995615i | \(0.529821\pi\) | |||||||
\(488\) | 14.2547 | − | 14.2547i | 0.645280 | − | 0.645280i | ||||
\(489\) | −3.27600 | + | 3.27600i | −0.148146 | + | 0.148146i | ||||
\(490\) | 11.6189 | − | 26.6636i | 0.524889 | − | 1.20454i | ||||
\(491\) | 6.17910 | − | 3.56750i | 0.278859 | − | 0.160999i | −0.354048 | − | 0.935227i | \(-0.615195\pi\) |
0.632907 | + | 0.774228i | \(0.281862\pi\) | |||||||
\(492\) | −0.388073 | + | 0.103984i | −0.0174957 | + | 0.00468796i | ||||
\(493\) | −13.6602 | + | 23.6601i | −0.615223 | + | 1.06560i | ||||
\(494\) | −6.33269 | − | 1.98974i | −0.284921 | − | 0.0895226i | ||||
\(495\) | −3.22766 | + | 1.86349i | −0.145073 | + | 0.0837577i | ||||
\(496\) | 1.68680 | − | 6.29522i | 0.0757395 | − | 0.282664i | ||||
\(497\) | 18.2513 | − | 20.4324i | 0.818682 | − | 0.916520i | ||||
\(498\) | −10.6726 | − | 6.16183i | −0.478250 | − | 0.276118i | ||||
\(499\) | 20.6974 | + | 5.54585i | 0.926542 | + | 0.248266i | 0.690380 | − | 0.723447i | \(-0.257444\pi\) |
0.236163 | + | 0.971714i | \(0.424110\pi\) | |||||||
\(500\) | −4.98694 | + | 18.6115i | −0.223023 | + | 0.832332i | ||||
\(501\) | −3.27179 | + | 12.2105i | −0.146173 | + | 0.545523i | ||||
\(502\) | −15.9220 | − | 4.26629i | −0.710634 | − | 0.190414i | ||||
\(503\) | 20.5890 | + | 11.8871i | 0.918020 | + | 0.530019i | 0.883003 | − | 0.469367i | \(-0.155518\pi\) |
0.0350174 | + | 0.999387i | \(0.488851\pi\) | |||||||
\(504\) | −1.64412 | + | 7.88864i | −0.0732348 | + | 0.351388i | ||||
\(505\) | −19.0804 | + | 71.2091i | −0.849068 | + | 3.16876i | ||||
\(506\) | −5.99475 | + | 3.46107i | −0.266499 | + | 0.153863i | ||||
\(507\) | 5.51756 | + | 11.7710i | 0.245043 | + | 0.522769i | ||||
\(508\) | −4.04648 | + | 7.00871i | −0.179534 | + | 0.310961i | ||||
\(509\) | 29.9347 | − | 8.02098i | 1.32683 | − | 0.355524i | 0.475299 | − | 0.879824i | \(-0.342340\pi\) |
0.851533 | + | 0.524301i | \(0.175673\pi\) | |||||||
\(510\) | −28.6491 | + | 16.5406i | −1.26860 | + | 0.732429i | ||||
\(511\) | −7.21678 | + | 8.07924i | −0.319252 | + | 0.357405i | ||||
\(512\) | 10.8487 | − | 10.8487i | 0.479449 | − | 0.479449i | ||||
\(513\) | 1.23405 | − | 1.23405i | 0.0544847 | − | 0.0544847i | ||||
\(514\) | −0.574561 | − | 0.153953i | −0.0253428 | − | 0.00679059i | ||||
\(515\) | −25.0207 | + | 6.70428i | −1.10254 | + | 0.295426i | ||||
\(516\) | − | 0.0959431i | − | 0.00422366i | ||||||
\(517\) | 2.18324 | + | 3.78149i | 0.0960189 | + | 0.166310i | ||||
\(518\) | 12.2410 | − | 24.2617i | 0.537840 | − | 1.06600i | ||||
\(519\) | − | 18.3187i | − | 0.804104i | ||||||
\(520\) | −29.2533 | − | 31.8605i | −1.28284 | − | 1.39717i | ||||
\(521\) | 23.5185 | + | 13.5784i | 1.03036 | + | 0.594881i | 0.917089 | − | 0.398683i | \(-0.130533\pi\) |
0.113275 | + | 0.993564i | \(0.463866\pi\) | |||||||
\(522\) | −2.55962 | + | 2.55962i | −0.112031 | + | 0.112031i | ||||
\(523\) | −36.5550 | − | 21.1050i | −1.59844 | − | 0.922859i | −0.991788 | − | 0.127891i | \(-0.959179\pi\) |
−0.606651 | − | 0.794968i | \(-0.707487\pi\) | |||||||
\(524\) | −3.47825 | + | 6.02451i | −0.151948 | + | 0.263182i | ||||
\(525\) | −27.7732 | + | 1.56598i | −1.21212 | + | 0.0683449i | ||||
\(526\) | −0.493811 | − | 1.84293i | −0.0215312 | − | 0.0803554i | ||||
\(527\) | −25.5058 | − | 25.5058i | −1.11105 | − | 1.11105i | ||||
\(528\) | 0.352301 | + | 1.31480i | 0.0153319 | + | 0.0572195i | ||||
\(529\) | 12.5455 | + | 21.7295i | 0.545458 | + | 0.944761i | ||||
\(530\) | −3.10723 | + | 5.38188i | −0.134970 | + | 0.233774i | ||||
\(531\) | 4.68445 | + | 1.25519i | 0.203288 | + | 0.0544708i | ||||
\(532\) | −1.28132 | − | 3.89094i | −0.0555523 | − | 0.168694i | ||||
\(533\) | 1.63130 | + | 0.0695920i | 0.0706593 | + | 0.00301436i | ||||
\(534\) | 2.82807 | + | 4.89837i | 0.122383 | + | 0.211973i | ||||
\(535\) | 14.4647 | + | 14.4647i | 0.625361 | + | 0.625361i | ||||
\(536\) | −13.7787 | −0.595151 | ||||||||
\(537\) | 17.9406 | 0.774196 | ||||||||
\(538\) | −3.43567 | − | 3.43567i | −0.148122 | − | 0.148122i | ||||
\(539\) | −6.16465 | + | 2.42265i | −0.265530 | + | 0.104351i | ||||
\(540\) | 3.37535 | − | 0.904422i | 0.145252 | − | 0.0389201i | ||||
\(541\) | −1.79457 | + | 6.69743i | −0.0771547 | + | 0.287945i | −0.993713 | − | 0.111955i | \(-0.964289\pi\) |
0.916559 | + | 0.399900i | \(0.130955\pi\) | |||||||
\(542\) | −3.70642 | + | 2.13990i | −0.159204 | + | 0.0919166i | ||||
\(543\) | − | 11.3348i | − | 0.486425i | ||||||
\(544\) | −9.42515 | − | 35.1751i | −0.404100 | − | 1.50812i | ||||
\(545\) | −44.9558 | −1.92570 | ||||||||
\(546\) | 4.91178 | − | 8.78298i | 0.210205 | − | 0.375877i | ||||
\(547\) | 32.4507 | 1.38749 | 0.693747 | − | 0.720219i | \(-0.255959\pi\) | ||||
0.693747 | + | 0.720219i | \(0.255959\pi\) | |||||||
\(548\) | −1.74759 | − | 6.52208i | −0.0746531 | − | 0.278609i | ||||
\(549\) | − | 6.61892i | − | 0.282488i | ||||||
\(550\) | −9.08876 | + | 5.24740i | −0.387546 | + | 0.223750i | ||||
\(551\) | 1.54997 | − | 5.78456i | 0.0660309 | − | 0.246431i | ||||
\(552\) | 20.4015 | − | 5.46657i | 0.868345 | − | 0.232672i | ||||
\(553\) | −1.12945 | + | 2.23858i | −0.0480292 | + | 0.0951939i | ||||
\(554\) | 9.10707 | + | 9.10707i | 0.386922 | + | 0.386922i | ||||
\(555\) | −38.3503 | −1.62788 | ||||||||
\(556\) | −3.95434 | −0.167702 | ||||||||
\(557\) | −4.06289 | − | 4.06289i | −0.172150 | − | 0.172150i | 0.615773 | − | 0.787923i | \(-0.288844\pi\) |
−0.787923 | + | 0.615773i | \(0.788844\pi\) | |||||||
\(558\) | −2.38961 | − | 4.13893i | −0.101160 | − | 0.175215i | ||||
\(559\) | −0.116879 | + | 0.371987i | −0.00494344 | + | 0.0157334i | ||||
\(560\) | −3.05864 | + | 14.6757i | −0.129251 | + | 0.620160i | ||||
\(561\) | 7.27693 | + | 1.94985i | 0.307232 | + | 0.0823226i | ||||
\(562\) | 0.565397 | − | 0.979297i | 0.0238498 | − | 0.0413091i | ||||
\(563\) | −21.8237 | − | 37.7998i | −0.919760 | − | 1.59307i | −0.799779 | − | 0.600294i | \(-0.795050\pi\) |
−0.119981 | − | 0.992776i | \(-0.538283\pi\) | |||||||
\(564\) | −1.05961 | − | 3.95451i | −0.0446176 | − | 0.166515i | ||||
\(565\) | 7.48808 | + | 7.48808i | 0.315026 | + | 0.315026i | ||||
\(566\) | −5.64548 | − | 21.0692i | −0.237297 | − | 0.885605i | ||||
\(567\) | 1.44977 | + | 2.21318i | 0.0608845 | + | 0.0929449i | ||||
\(568\) | −15.7692 | + | 27.3130i | −0.661661 | + | 1.14603i | ||||
\(569\) | −2.73813 | − | 1.58086i | −0.114788 | − | 0.0662730i | 0.441507 | − | 0.897258i | \(-0.354444\pi\) |
−0.556295 | + | 0.830985i | \(0.687778\pi\) | |||||||
\(570\) | 5.12751 | − | 5.12751i | 0.214768 | − | 0.214768i | ||||
\(571\) | 31.3887 | + | 18.1222i | 1.31357 | + | 0.758393i | 0.982686 | − | 0.185277i | \(-0.0593184\pi\) |
0.330888 | + | 0.943670i | \(0.392652\pi\) | |||||||
\(572\) | −0.129007 | + | 3.02404i | −0.00539406 | + | 0.126441i | ||||
\(573\) | 14.6688i | 0.612796i | ||||||||
\(574\) | −0.692573 | − | 1.05727i | −0.0289074 | − | 0.0441295i | ||||
\(575\) | 36.4559 | + | 63.1435i | 1.52032 | + | 2.63327i | ||||
\(576\) | − | 7.70205i | − | 0.320919i | ||||||
\(577\) | 5.03959 | − | 1.35035i | 0.209801 | − | 0.0562160i | −0.152388 | − | 0.988321i | \(-0.548696\pi\) |
0.362189 | + | 0.932105i | \(0.382030\pi\) | |||||||
\(578\) | 47.2686 | + | 12.6656i | 1.96611 | + | 0.526819i | ||||
\(579\) | 8.28684 | − | 8.28684i | 0.344389 | − | 0.344389i | ||||
\(580\) | 8.47888 | − | 8.47888i | 0.352066 | − | 0.352066i | ||||
\(581\) | −6.30630 | + | 30.2582i | −0.261629 | + | 1.25532i | ||||
\(582\) | −10.9243 | + | 6.30714i | −0.452826 | + | 0.261439i | ||||
\(583\) | 1.36701 | − | 0.366289i | 0.0566157 | − | 0.0151701i | ||||
\(584\) | 6.23534 | − | 10.7999i | 0.258020 | − | 0.446904i | ||||
\(585\) | −14.1885 | − | 0.605291i | −0.586624 | − | 0.0250257i | ||||
\(586\) | 2.30215 | − | 1.32915i | 0.0951010 | − | 0.0549066i | ||||
\(587\) | −9.40982 | + | 35.1179i | −0.388385 | + | 1.44947i | 0.444377 | + | 0.895840i | \(0.353425\pi\) |
−0.832762 | + | 0.553632i | \(0.813242\pi\) | |||||||
\(588\) | 6.17093 | − | 0.698110i | 0.254485 | − | 0.0287896i | ||||
\(589\) | 6.84740 | + | 3.95335i | 0.282142 | + | 0.162895i | ||||
\(590\) | 19.4640 | + | 5.21535i | 0.801319 | + | 0.214713i | ||||
\(591\) | −2.75584 | + | 10.2849i | −0.113360 | + | 0.423066i | ||||
\(592\) | −3.62513 | + | 13.5292i | −0.148992 | + | 0.556046i | ||||
\(593\) | −40.8740 | − | 10.9522i | −1.67849 | − | 0.449751i | −0.711113 | − | 0.703078i | \(-0.751809\pi\) |
−0.967381 | + | 0.253327i | \(0.918475\pi\) | |||||||
\(594\) | 0.864448 | + | 0.499089i | 0.0354687 | + | 0.0204779i | ||||
\(595\) | 61.8779 | + | 55.2724i | 2.53675 | + | 2.26595i | ||||
\(596\) | 0.172787 | − | 0.644851i | 0.00707764 | − | 0.0264141i | ||||
\(597\) | 18.4076 | − | 10.6276i | 0.753372 | − | 0.434960i | ||||
\(598\) | −26.3524 | − | 1.12421i | −1.07763 | − | 0.0459723i | ||||
\(599\) | 16.9264 | − | 29.3174i | 0.691594 | − | 1.19788i | −0.279721 | − | 0.960081i | \(-0.590242\pi\) |
0.971315 | − | 0.237795i | \(-0.0764246\pi\) | |||||||
\(600\) | 30.9311 | − | 8.28797i | 1.26276 | − | 0.338355i | ||||
\(601\) | 21.1918 | − | 12.2351i | 0.864431 | − | 0.499080i | −0.00106241 | − | 0.999999i | \(-0.500338\pi\) |
0.865494 | + | 0.500920i | \(0.167005\pi\) | |||||||
\(602\) | 0.286684 | − | 0.0944076i | 0.0116844 | − | 0.00384777i | ||||
\(603\) | −3.19896 | + | 3.19896i | −0.130272 | + | 0.130272i | ||||
\(604\) | 0.0410334 | − | 0.0410334i | 0.00166962 | − | 0.00166962i | ||||
\(605\) | −38.4438 | − | 10.3010i | −1.56296 | − | 0.418795i | ||||
\(606\) | 19.0716 | − | 5.11021i | 0.774729 | − | 0.207588i | ||||
\(607\) | − | 22.9026i | − | 0.929589i | −0.885419 | − | 0.464795i | \(-0.846128\pi\) | ||
0.885419 | − | 0.464795i | \(-0.153872\pi\) | |||||||
\(608\) | 3.99119 | + | 6.91295i | 0.161864 | + | 0.280357i | ||||
\(609\) | 8.10553 | + | 4.08957i | 0.328453 | + | 0.165718i | ||||
\(610\) | − | 27.5017i | − | 1.11351i | ||||||
\(611\) | −0.709151 | + | 16.6231i | −0.0286892 | + | 0.672499i | ||||
\(612\) | −6.11719 | − | 3.53176i | −0.247273 | − | 0.142763i | ||||
\(613\) | −24.6071 | + | 24.6071i | −0.993870 | + | 0.993870i | −0.999981 | − | 0.00611091i | \(-0.998055\pi\) |
0.00611091 | + | 0.999981i | \(0.498055\pi\) | |||||||
\(614\) | 18.1601 | + | 10.4847i | 0.732882 | + | 0.423130i | ||||
\(615\) | −0.891841 | + | 1.54471i | −0.0359625 | + | 0.0622888i | ||||
\(616\) | 6.37822 | − | 4.17812i | 0.256986 | − | 0.168341i | ||||
\(617\) | −8.38788 | − | 31.3040i | −0.337684 | − | 1.26025i | −0.900930 | − | 0.433963i | \(-0.857115\pi\) |
0.563247 | − | 0.826289i | \(-0.309552\pi\) | |||||||
\(618\) | 4.90559 | + | 4.90559i | 0.197332 | + | 0.197332i | ||||
\(619\) | −10.1821 | − | 38.0001i | −0.409253 | − | 1.52735i | −0.796074 | − | 0.605200i | \(-0.793093\pi\) |
0.386820 | − | 0.922155i | \(-0.373573\pi\) | |||||||
\(620\) | 7.91574 | + | 13.7105i | 0.317904 | + | 0.550625i | ||||
\(621\) | 3.46739 | − | 6.00569i | 0.139141 | − | 0.241000i | ||||
\(622\) | 10.3398 | + | 2.77055i | 0.414590 | + | 0.111089i | ||||
\(623\) | 9.45037 | − | 10.5798i | 0.378621 | − | 0.423869i | ||||
\(624\) | −1.55473 | + | 4.94821i | −0.0622392 | + | 0.198087i | ||||
\(625\) | 16.4867 | + | 28.5558i | 0.659467 | + | 1.14223i | ||||
\(626\) | 19.9921 | + | 19.9921i | 0.799046 | + | 0.799046i | ||||
\(627\) | −1.65137 | −0.0659495 | ||||||||
\(628\) | 6.57024 | 0.262181 | ||||||||
\(629\) | 54.8150 | + | 54.8150i | 2.18562 | + | 2.18562i | ||||
\(630\) | 6.02380 | + | 9.19581i | 0.239994 | + | 0.366370i | ||||
\(631\) | 15.0028 | − | 4.01998i | 0.597251 | − | 0.160033i | 0.0524858 | − | 0.998622i | \(-0.483286\pi\) |
0.544765 | + | 0.838589i | \(0.316619\pi\) | |||||||
\(632\) | 0.747052 | − | 2.78804i | 0.0297161 | − | 0.110902i | ||||
\(633\) | −20.3617 | + | 11.7558i | −0.809305 | + | 0.467252i | ||||
\(634\) | − | 13.5094i | − | 0.536527i | ||||||
\(635\) | 9.29932 | + | 34.7055i | 0.369032 | + | 1.37725i | ||||
\(636\) | −1.32692 | −0.0526158 | ||||||||
\(637\) | −24.7761 | − | 4.81080i | −0.981666 | − | 0.190611i | ||||
\(638\) | 3.42520 | 0.135605 | ||||||||
\(639\) | 2.68009 | + | 10.0022i | 0.106023 | + | 0.395682i | ||||
\(640\) | 4.02875i | 0.159250i | ||||||||
\(641\) | 11.6981 | − | 6.75390i | 0.462047 | − | 0.266763i | −0.250857 | − | 0.968024i | \(-0.580713\pi\) |
0.712905 | + | 0.701261i | \(0.247379\pi\) | |||||||
\(642\) | 1.41798 | − | 5.29197i | 0.0559632 | − | 0.208857i | ||||
\(643\) | −25.1020 | + | 6.72606i | −0.989926 | + | 0.265250i | −0.717219 | − | 0.696848i | \(-0.754585\pi\) |
−0.272706 | + | 0.962097i | \(0.587919\pi\) | |||||||
\(644\) | −8.91957 | − | 13.6164i | −0.351480 | − | 0.536563i | ||||
\(645\) | −0.301194 | − | 0.301194i | −0.0118595 | − | 0.0118595i | ||||
\(646\) | −14.6578 | −0.576702 | ||||||||
\(647\) | 23.1112 | 0.908596 | 0.454298 | − | 0.890850i | \(-0.349890\pi\) | ||||
0.454298 | + | 0.890850i | \(0.349890\pi\) | |||||||
\(648\) | −2.15363 | − | 2.15363i | −0.0846026 | − | 0.0846026i | ||||
\(649\) | −2.29446 | − | 3.97413i | −0.0900656 | − | 0.155998i | ||||
\(650\) | −39.9535 | − | 1.70444i | −1.56710 | − | 0.0668535i | ||||
\(651\) | −7.98521 | + | 8.93950i | −0.312965 | + | 0.350367i | ||||
\(652\) | −3.97023 | − | 1.06382i | −0.155486 | − | 0.0416624i | ||||
\(653\) | 16.7511 | − | 29.0138i | 0.655522 | − | 1.13540i | −0.326241 | − | 0.945287i | \(-0.605782\pi\) |
0.981763 | − | 0.190110i | \(-0.0608846\pi\) | |||||||
\(654\) | 6.02014 | + | 10.4272i | 0.235406 | + | 0.407735i | ||||
\(655\) | 7.99345 | + | 29.8320i | 0.312330 | + | 1.16563i | ||||
\(656\) | 0.460640 | + | 0.460640i | 0.0179850 | + | 0.0179850i | ||||
\(657\) | −1.05974 | − | 3.95501i | −0.0413445 | − | 0.154300i | ||||
\(658\) | 10.7737 | − | 7.05741i | 0.420002 | − | 0.275126i | ||||
\(659\) | 0.940246 | − | 1.62855i | 0.0366268 | − | 0.0634395i | −0.847131 | − | 0.531384i | \(-0.821672\pi\) |
0.883758 | + | 0.467945i | \(0.155005\pi\) | |||||||
\(660\) | −2.86353 | − | 1.65326i | −0.111463 | − | 0.0643531i | ||||
\(661\) | 34.5943 | − | 34.5943i | 1.34556 | − | 1.34556i | 0.455148 | − | 0.890416i | \(-0.349586\pi\) |
0.890416 | − | 0.455148i | \(-0.150414\pi\) | |||||||
\(662\) | 0.690553 | + | 0.398691i | 0.0268391 | + | 0.0154956i | ||||
\(663\) | 19.4149 | + | 21.1452i | 0.754013 | + | 0.821213i | ||||
\(664\) | − | 35.5807i | − | 1.38080i | ||||||
\(665\) | −16.2373 | − | 8.19236i | −0.629654 | − | 0.317686i | ||||
\(666\) | 5.13557 | + | 8.89507i | 0.198999 | + | 0.344677i | ||||
\(667\) | − | 23.7964i | − | 0.921399i | ||||||
\(668\) | −10.8329 | + | 2.90268i | −0.419139 | + | 0.112308i | ||||
\(669\) | −5.85209 | − | 1.56806i | −0.226255 | − | 0.0606248i | ||||
\(670\) | −13.2917 | + | 13.2917i | −0.513504 | + | 0.513504i | ||||
\(671\) | −4.42862 | + | 4.42862i | −0.170965 | + | 0.170965i | ||||
\(672\) | −11.4941 | + | 3.78512i | −0.443396 | + | 0.146014i | ||||
\(673\) | −16.4185 | + | 9.47923i | −0.632887 | + | 0.365397i | −0.781869 | − | 0.623442i | \(-0.785734\pi\) |
0.148982 | + | 0.988840i | \(0.452400\pi\) | |||||||
\(674\) | −13.2143 | + | 3.54077i | −0.508998 | + | 0.136386i | ||||
\(675\) | 5.25697 | − | 9.10535i | 0.202341 | − | 0.350465i | ||||
\(676\) | −6.59640 | + | 9.46080i | −0.253708 | + | 0.363877i | ||||
\(677\) | −7.78358 | + | 4.49385i | −0.299147 | + | 0.172713i | −0.642060 | − | 0.766655i | \(-0.721920\pi\) |
0.342913 | + | 0.939367i | \(0.388587\pi\) | |||||||
\(678\) | 0.734061 | − | 2.73955i | 0.0281914 | − | 0.105212i | ||||
\(679\) | 23.5949 | + | 21.0761i | 0.905488 | + | 0.808827i | ||||
\(680\) | −82.7153 | − | 47.7557i | −3.17199 | − | 1.83135i | ||||
\(681\) | 20.1604 | + | 5.40197i | 0.772549 | + | 0.207004i | ||||
\(682\) | −1.17044 | + | 4.36816i | −0.0448186 | + | 0.167265i | ||||
\(683\) | −7.52839 | + | 28.0963i | −0.288066 | + | 1.07508i | 0.658504 | + | 0.752577i | \(0.271190\pi\) |
−0.946570 | + | 0.322499i | \(0.895477\pi\) | |||||||
\(684\) | 1.49557 | + | 0.400736i | 0.0571845 | + | 0.0153225i | ||||
\(685\) | −25.9609 | − | 14.9885i | −0.991916 | − | 0.572683i | ||||
\(686\) | 8.15817 | + | 17.7522i | 0.311480 | + | 0.677782i | ||||
\(687\) | 5.67737 | − | 21.1882i | 0.216605 | − | 0.808382i | ||||
\(688\) | −0.134726 | + | 0.0777840i | −0.00513638 | + | 0.00296549i | ||||
\(689\) | 5.14468 | + | 1.61647i | 0.195997 | + | 0.0615825i | ||||
\(690\) | 14.4070 | − | 24.9537i | 0.548467 | − | 0.949973i | ||||
\(691\) | −19.4172 | + | 5.20283i | −0.738666 | + | 0.197925i | −0.608485 | − | 0.793565i | \(-0.708222\pi\) |
−0.130181 | + | 0.991490i | \(0.541556\pi\) | |||||||
\(692\) | 14.0747 | − | 8.12605i | 0.535041 | − | 0.308906i | ||||
\(693\) | 0.510791 | − | 2.45082i | 0.0194033 | − | 0.0930991i | ||||
\(694\) | 10.7311 | − | 10.7311i | 0.407349 | − | 0.407349i | ||||
\(695\) | −12.4139 | + | 12.4139i | −0.470885 | + | 0.470885i | ||||
\(696\) | −10.0950 | − | 2.70496i | −0.382652 | − | 0.102531i | ||||
\(697\) | 3.48263 | − | 0.933168i | 0.131914 | − | 0.0353463i | ||||
\(698\) | 36.0063i | 1.36286i | ||||||||
\(699\) | 5.72914 | + | 9.92317i | 0.216696 | + | 0.375329i | ||||
\(700\) | −13.5231 | − | 20.6441i | −0.511127 | − | 0.780275i | ||||
\(701\) | − | 26.4403i | − | 0.998636i | −0.866419 | − | 0.499318i | \(-0.833584\pi\) | ||
0.866419 | − | 0.499318i | \(-0.166416\pi\) | |||||||
\(702\) | 1.75963 | + | 3.37199i | 0.0664129 | + | 0.127268i | ||||
\(703\) | −14.7159 | − | 8.49622i | −0.555020 | − | 0.320441i | ||||
\(704\) | −5.15333 | + | 5.15333i | −0.194223 | + | 0.194223i | ||||
\(705\) | −15.7408 | − | 9.08797i | −0.592833 | − | 0.342273i | ||||
\(706\) | −2.92551 | + | 5.06714i | −0.110103 | + | 0.190704i | ||||
\(707\) | −27.1349 | − | 41.4236i | −1.02051 | − | 1.55790i | ||||
\(708\) | 1.11359 | + | 4.15597i | 0.0418512 | + | 0.156191i | ||||
\(709\) | 0.719284 | + | 0.719284i | 0.0270133 | + | 0.0270133i | 0.720484 | − | 0.693471i | \(-0.243920\pi\) |
−0.693471 | + | 0.720484i | \(0.743920\pi\) | |||||||
\(710\) | 11.1358 | + | 41.5595i | 0.417920 | + | 1.55970i | ||||
\(711\) | −0.473848 | − | 0.820728i | −0.0177707 | − | 0.0307797i | ||||
\(712\) | −8.16517 | + | 14.1425i | −0.306003 | + | 0.530012i | ||||
\(713\) | 30.3475 | + | 8.13158i | 1.13652 | + | 0.304530i | ||||
\(714\) | 4.53384 | − | 21.7538i | 0.169675 | − | 0.814116i | ||||
\(715\) | 9.08836 | + | 9.89834i | 0.339885 | + | 0.370177i | ||||
\(716\) | 7.95833 | + | 13.7842i | 0.297417 | + | 0.515141i | ||||
\(717\) | −4.89413 | − | 4.89413i | −0.182775 | − | 0.182775i | ||||
\(718\) | −7.01275 | −0.261713 | ||||||||
\(719\) | 32.2667 | 1.20334 | 0.601672 | − | 0.798743i | \(-0.294502\pi\) | ||||
0.601672 | + | 0.798743i | \(0.294502\pi\) | |||||||
\(720\) | −4.00652 | − | 4.00652i | −0.149314 | − | 0.149314i | ||||
\(721\) | 7.83781 | − | 15.5345i | 0.291895 | − | 0.578536i | ||||
\(722\) | −16.2567 | + | 4.35596i | −0.605010 | + | 0.162112i | ||||
\(723\) | −2.14872 | + | 8.01914i | −0.0799119 | + | 0.298235i | ||||
\(724\) | 8.70883 | − | 5.02805i | 0.323661 | − | 0.186866i | ||||
\(725\) | − | 36.0781i | − | 1.33991i | ||||||
\(726\) | 2.75886 | + | 10.2962i | 0.102391 | + | 0.382128i | ||||
\(727\) | 14.6393 | 0.542941 | 0.271471 | − | 0.962447i | \(-0.412490\pi\) | ||||
0.271471 | + | 0.962447i | \(0.412490\pi\) | |||||||
\(728\) | 29.0513 | − | 0.397744i | 1.07671 | − | 0.0147414i | ||||
\(729\) | −1.00000 | −0.0370370 | ||||||||
\(730\) | −4.40325 | − | 16.4331i | −0.162971 | − | 0.608218i | ||||
\(731\) | 0.861008i | 0.0318455i | ||||||||
\(732\) | 5.08547 | − | 2.93610i | 0.187964 | − | 0.108521i | ||||
\(733\) | 13.0234 | − | 48.6040i | 0.481031 | − | 1.79523i | −0.116275 | − | 0.993217i | \(-0.537095\pi\) |
0.597305 | − | 0.802014i | \(-0.296238\pi\) | |||||||
\(734\) | −7.28601 | + | 1.95228i | −0.268931 | + | 0.0720599i | ||||
\(735\) | 17.1808 | − | 21.5639i | 0.633723 | − | 0.795398i | ||||
\(736\) | 22.4286 | + | 22.4286i | 0.826728 | + | 0.826728i | ||||
\(737\) | 4.28075 | 0.157683 | ||||||||
\(738\) | 0.477714 | 0.0175849 | ||||||||
\(739\) | −14.7764 | − | 14.7764i | −0.543558 | − | 0.543558i | 0.381012 | − | 0.924570i | \(-0.375576\pi\) |
−0.924570 | + | 0.381012i | \(0.875576\pi\) | |||||||
\(740\) | −17.0119 | − | 29.4654i | −0.625369 | − | 1.08317i | ||||
\(741\) | −5.31038 | − | 3.37563i | −0.195082 | − | 0.124007i | ||||
\(742\) | −1.30568 | − | 3.96492i | −0.0479332 | − | 0.145557i | ||||
\(743\) | 25.4705 | + | 6.82479i | 0.934421 | + | 0.250377i | 0.693739 | − | 0.720227i | \(-0.255962\pi\) |
0.240682 | + | 0.970604i | \(0.422629\pi\) | |||||||
\(744\) | 6.89926 | − | 11.9499i | 0.252939 | − | 0.438103i | ||||
\(745\) | −1.48195 | − | 2.56681i | −0.0542943 | − | 0.0940406i | ||||
\(746\) | −4.18815 | − | 15.6304i | −0.153339 | − | 0.572269i | ||||
\(747\) | −8.26062 | − | 8.26062i | −0.302240 | − | 0.302240i | ||||
\(748\) | 1.72987 | + | 6.45597i | 0.0632504 | + | 0.236054i | ||||
\(749\) | −13.7190 | + | 0.773538i | −0.501280 | + | 0.0282645i | ||||
\(750\) | 11.4553 | − | 19.8411i | 0.418287 | − | 0.724495i | ||||
\(751\) | 13.2528 | + | 7.65152i | 0.483602 | + | 0.279208i | 0.721916 | − | 0.691980i | \(-0.243261\pi\) |
−0.238314 | + | 0.971188i | \(0.576595\pi\) | |||||||
\(752\) | −4.69398 | + | 4.69398i | −0.171172 | + | 0.171172i | ||||
\(753\) | −13.5324 | − | 7.81291i | −0.493146 | − | 0.284718i | ||||
\(754\) | 11.0145 | + | 7.00159i | 0.401126 | + | 0.254983i | ||||
\(755\) | − | 0.257632i | − | 0.00937618i | ||||||
\(756\) | −1.05734 | + | 2.09564i | −0.0384550 | + | 0.0762177i | ||||
\(757\) | 9.00227 | + | 15.5924i | 0.327193 | + | 0.566715i | 0.981954 | − | 0.189121i | \(-0.0605640\pi\) |
−0.654761 | + | 0.755836i | \(0.727231\pi\) | |||||||
\(758\) | 24.9708i | 0.906979i | ||||||||
\(759\) | −6.33829 | + | 1.69834i | −0.230065 | + | 0.0616459i | ||||
\(760\) | 20.2227 | + | 5.41866i | 0.733555 | + | 0.196556i | ||||
\(761\) | −29.9052 | + | 29.9052i | −1.08406 | + | 1.08406i | −0.0879379 | + | 0.996126i | \(0.528028\pi\) |
−0.996126 | + | 0.0879379i | \(0.971972\pi\) | |||||||
\(762\) | 6.80441 | − | 6.80441i | 0.246498 | − | 0.246498i | ||||
\(763\) | 20.1171 | − | 22.5212i | 0.728287 | − | 0.815322i | ||||
\(764\) | −11.2704 | + | 6.50694i | −0.407747 | + | 0.235413i | ||||
\(765\) | −30.2909 | + | 8.11643i | −1.09517 | + | 0.293450i | ||||
\(766\) | −0.326683 | + | 0.565832i | −0.0118035 | + | 0.0204443i | ||||
\(767\) | 0.745278 | − | 17.4699i | 0.0269104 | − | 0.630803i | ||||
\(768\) | 14.2748 | − | 8.24155i | 0.515097 | − | 0.297391i | ||||
\(769\) | −2.44052 | + | 9.10816i | −0.0880075 | + | 0.328449i | −0.995867 | − | 0.0908266i | \(-0.971049\pi\) |
0.907859 | + | 0.419275i | \(0.137716\pi\) | |||||||
\(770\) | 2.12234 | − | 10.1832i | 0.0764840 | − | 0.366978i | ||||
\(771\) | −0.488328 | − | 0.281936i | −0.0175867 | − | 0.0101537i | ||||
\(772\) | 10.0430 | + | 2.69100i | 0.361454 | + | 0.0968513i | ||||
\(773\) | 6.30495 | − | 23.5304i | 0.226773 | − | 0.846329i | −0.754913 | − | 0.655825i | \(-0.772321\pi\) |
0.981686 | − | 0.190504i | \(-0.0610124\pi\) | |||||||
\(774\) | −0.0295262 | + | 0.110193i | −0.00106130 | + | 0.00396082i | ||||
\(775\) | 46.0104 | + | 12.3284i | 1.65274 | + | 0.442851i | ||||
\(776\) | −31.5404 | − | 18.2099i | −1.13223 | − | 0.653696i | ||||
\(777\) | 17.1612 | − | 19.2121i | 0.615653 | − | 0.689229i | ||||
\(778\) | 2.58080 | − | 9.63167i | 0.0925261 | − | 0.345312i | ||||
\(779\) | −0.684440 | + | 0.395162i | −0.0245226 | + | 0.0141581i | ||||
\(780\) | −5.82887 | − | 11.1699i | −0.208707 | − | 0.399947i | ||||
\(781\) | 4.89914 | − | 8.48556i | 0.175305 | − | 0.303637i | ||||
\(782\) | −56.2594 | + | 15.0747i | −2.01183 | + | 0.539069i | ||||
\(783\) | −2.97173 | + | 1.71573i | −0.106201 | + | 0.0613151i | ||||
\(784\) | −5.98327 | − | 8.09941i | −0.213688 | − | 0.289264i | ||||
\(785\) | 20.6259 | − | 20.6259i | 0.736171 | − | 0.736171i | ||||
\(786\) | 5.84889 | − | 5.84889i | 0.208623 | − | 0.208623i | ||||
\(787\) | −16.1021 | − | 4.31455i | −0.573979 | − | 0.153797i | −0.0398580 | − | 0.999205i | \(-0.512691\pi\) |
−0.534121 | + | 0.845408i | \(0.679357\pi\) | |||||||
\(788\) | −9.12464 | + | 2.44494i | −0.325052 | + | 0.0870974i | ||||
\(789\) | − | 1.80864i | − | 0.0643894i | ||||||
\(790\) | −1.96884 | − | 3.41014i | −0.0700484 | − | 0.121327i | ||||
\(791\) | −7.10205 | + | 0.400446i | −0.252520 | + | 0.0142382i | ||||
\(792\) | 2.88192i | 0.102405i | ||||||||
\(793\) | −23.2940 | + | 5.18856i | −0.827193 | + | 0.184251i | ||||
\(794\) | −8.16842 | − | 4.71604i | −0.289886 | − | 0.167366i | ||||
\(795\) | −4.16560 | + | 4.16560i | −0.147738 | + | 0.147738i | ||||
\(796\) | 16.3309 | + | 9.42866i | 0.578834 | + | 0.334190i | ||||
\(797\) | 7.91214 | − | 13.7042i | 0.280263 | − | 0.485429i | −0.691187 | − | 0.722676i | \(-0.742912\pi\) |
0.971449 | + | 0.237247i | \(0.0762451\pi\) | |||||||
\(798\) | 0.274208 | + | 4.86318i | 0.00970686 | + | 0.172155i | ||||
\(799\) | 9.50910 | + | 35.4884i | 0.336408 | + | 1.25549i | ||||
\(800\) | 34.0044 | + | 34.0044i | 1.20224 | + | 1.20224i | ||||
\(801\) | 1.38773 | + | 5.17908i | 0.0490331 | + | 0.182994i | ||||
\(802\) | −3.49797 | − | 6.05866i | −0.123518 | − | 0.213939i | ||||
\(803\) | −1.93718 | + | 3.35530i | −0.0683617 | + | 0.118406i | ||||
\(804\) | −3.87687 | − | 1.03880i | −0.136727 | − | 0.0366358i | ||||
\(805\) | −70.7472 | − | 14.7448i | −2.49351 | − | 0.519687i | ||||
\(806\) | −12.6930 | + | 11.6543i | −0.447090 | + | 0.410505i | ||||
\(807\) | −2.30295 | − | 3.98883i | −0.0810677 | − | 0.140413i | ||||
\(808\) | 40.3090 | + | 40.3090i | 1.41807 | + | 1.41807i | ||||
\(809\) | −36.4976 | −1.28319 | −0.641594 | − | 0.767044i | \(-0.721727\pi\) | ||||
−0.641594 | + | 0.767044i | \(0.721727\pi\) | |||||||
\(810\) | −4.15502 | −0.145992 | ||||||||
\(811\) | −33.0051 | − | 33.0051i | −1.15897 | − | 1.15897i | −0.984698 | − | 0.174269i | \(-0.944244\pi\) |
−0.174269 | − | 0.984698i | \(-0.555756\pi\) | |||||||
\(812\) | 0.453432 | + | 8.04177i | 0.0159123 | + | 0.282211i | ||||
\(813\) | −3.91882 | + | 1.05005i | −0.137439 | + | 0.0368267i | ||||
\(814\) | 2.51542 | − | 9.38769i | 0.0881656 | − | 0.329038i | ||||
\(815\) | −15.8034 | + | 9.12409i | −0.553569 | + | 0.319603i | ||||
\(816\) | 11.4532i | 0.400944i | ||||||||
\(817\) | −0.0488477 | − | 0.182302i | −0.00170897 | − | 0.00637795i | ||||
\(818\) | 17.2679 | 0.603758 | ||||||||
\(819\) | 6.65239 | − | 6.83708i | 0.232453 | − | 0.238907i | ||||
\(820\) | −1.58245 | −0.0552617 | ||||||||
\(821\) | −9.07253 | − | 33.8592i | −0.316634 | − | 1.18169i | −0.922459 | − | 0.386095i | \(-0.873824\pi\) |
0.605825 | − | 0.795598i | \(-0.292843\pi\) | |||||||
\(822\) | 8.02860i | 0.280030i | ||||||||
\(823\) | 11.1912 | − | 6.46124i | 0.390100 | − | 0.225225i | −0.292103 | − | 0.956387i | \(-0.594355\pi\) |
0.682204 | + | 0.731162i | \(0.261022\pi\) | |||||||
\(824\) | −5.18415 | + | 19.3475i | −0.180598 | + | 0.674002i | ||||
\(825\) | −9.60962 | + | 2.57489i | −0.334564 | + | 0.0896461i | ||||
\(826\) | −11.3225 | + | 7.41693i | −0.393961 | + | 0.258068i | ||||
\(827\) | 16.1945 | + | 16.1945i | 0.563138 | + | 0.563138i | 0.930198 | − | 0.367059i | \(-0.119635\pi\) |
−0.367059 | + | 0.930198i | \(0.619635\pi\) | |||||||
\(828\) | 6.15242 | 0.213811 | ||||||||
\(829\) | 18.0216 | 0.625918 | 0.312959 | − | 0.949767i | \(-0.398680\pi\) | ||||
0.312959 | + | 0.949767i | \(0.398680\pi\) | |||||||
\(830\) | −34.3230 | − | 34.3230i | −1.19137 | − | 1.19137i | ||||
\(831\) | 6.10452 | + | 10.5733i | 0.211764 | + | 0.366785i | ||||
\(832\) | −27.1059 | + | 6.03763i | −0.939727 | + | 0.209317i | ||||
\(833\) | −55.3789 | + | 6.26495i | −1.91877 | + | 0.217068i | ||||
\(834\) | 4.54168 | + | 1.21694i | 0.157265 | + | 0.0421391i | ||||
\(835\) | −24.8954 | + | 43.1202i | −0.861542 | + | 1.49223i | ||||
\(836\) | −0.732536 | − | 1.26879i | −0.0253353 | − | 0.0438820i | ||||
\(837\) | −1.17258 | − | 4.37613i | −0.0405303 | − | 0.151261i | ||||
\(838\) | 17.1398 | + | 17.1398i | 0.592085 | + | 0.592085i | ||||
\(839\) | −9.35633 | − | 34.9183i | −0.323016 | − | 1.20551i | −0.916291 | − | 0.400513i | \(-0.868832\pi\) |
0.593275 | − | 0.805000i | \(-0.297835\pi\) | |||||||
\(840\) | −14.2971 | + | 28.3368i | −0.493296 | + | 0.977711i | ||||
\(841\) | 8.61256 | − | 14.9174i | 0.296985 | − | 0.514393i | ||||
\(842\) | 4.31145 | + | 2.48921i | 0.148582 | + | 0.0857840i | ||||
\(843\) | 0.757979 | − | 0.757979i | 0.0261062 | − | 0.0261062i | ||||
\(844\) | −18.0646 | − | 10.4296i | −0.621808 | − | 0.359001i | ||||
\(845\) | 8.99218 | + | 50.4083i | 0.309340 | + | 1.73410i | ||||
\(846\) | 4.86796i | 0.167364i | ||||||||
\(847\) | 22.3634 | − | 14.6494i | 0.768417 | − | 0.503359i | ||||
\(848\) | 1.07578 | + | 1.86330i | 0.0369423 | + | 0.0639859i | ||||
\(849\) | − | 20.6773i | − | 0.709641i | ||||||
\(850\) | −85.2961 | + | 22.8550i | −2.92563 | + | 0.783920i | ||||
\(851\) | −65.2203 | − | 17.4757i | −2.23572 | − | 0.599060i | ||||
\(852\) | −6.49609 | + | 6.49609i | −0.222552 | + | 0.222552i | ||||
\(853\) | −9.67121 | + | 9.67121i | −0.331136 | + | 0.331136i | −0.853018 | − | 0.521882i | \(-0.825230\pi\) |
0.521882 | + | 0.853018i | \(0.325230\pi\) | |||||||
\(854\) | 13.7773 | + | 12.3066i | 0.471451 | + | 0.421123i | ||||
\(855\) | 5.95306 | − | 3.43700i | 0.203590 | − | 0.117543i | ||||
\(856\) | 15.2789 | − | 4.09397i | 0.522222 | − | 0.139929i | ||||
\(857\) | −15.8586 | + | 27.4680i | −0.541720 | + | 0.938287i | 0.457085 | + | 0.889423i | \(0.348894\pi\) |
−0.998805 | + | 0.0488643i | \(0.984440\pi\) | |||||||
\(858\) | 1.07881 | − | 3.43349i | 0.0368299 | − | 0.117217i | ||||
\(859\) | 3.30317 | − | 1.90709i | 0.112703 | − | 0.0650690i | −0.442589 | − | 0.896725i | \(-0.645940\pi\) |
0.555292 | + | 0.831656i | \(0.312607\pi\) | |||||||
\(860\) | 0.0978072 | − | 0.365022i | 0.00333520 | − | 0.0124471i | ||||
\(861\) | −0.374759 | − | 1.13802i | −0.0127717 | − | 0.0387835i | ||||
\(862\) | −25.7349 | − | 14.8581i | −0.876534 | − | 0.506067i | ||||
\(863\) | 25.7366 | + | 6.89611i | 0.876086 | + | 0.234746i | 0.668718 | − | 0.743517i | \(-0.266844\pi\) |
0.207368 | + | 0.978263i | \(0.433510\pi\) | |||||||
\(864\) | 1.18381 | − | 4.41802i | 0.0402739 | − | 0.150304i | ||||
\(865\) | 18.6747 | − | 69.6948i | 0.634958 | − | 2.36970i | ||||
\(866\) | −20.1544 | − | 5.40036i | −0.684875 | − | 0.183512i | ||||
\(867\) | 40.1742 | + | 23.1946i | 1.36439 | + | 0.787730i | ||||
\(868\) | −10.4106 | − | 2.16974i | −0.353359 | − | 0.0736456i | ||||
\(869\) | −0.232093 | + | 0.866181i | −0.00787320 | + | 0.0293832i | ||||
\(870\) | −12.3476 | + | 7.12888i | −0.418622 | + | 0.241692i | ||||
\(871\) | 13.7658 | + | 8.75045i | 0.466435 | + | 0.296498i | ||||
\(872\) | −17.3812 | + | 30.1052i | −0.588603 | + | 1.01949i | ||||
\(873\) | −11.5503 | + | 3.09490i | −0.390919 | + | 0.104747i | ||||
\(874\) | 11.0566 | − | 6.38355i | 0.373996 | − | 0.215927i | ||||
\(875\) | −56.2522 | − | 11.7239i | −1.90167 | − | 0.396339i | ||||
\(876\) | 2.56864 | − | 2.56864i | 0.0867862 | − | 0.0867862i | ||||
\(877\) | −0.217046 | + | 0.217046i | −0.00732914 | + | 0.00732914i | −0.710762 | − | 0.703433i | \(-0.751650\pi\) |
0.703433 | + | 0.710762i | \(0.251650\pi\) | |||||||
\(878\) | −22.3229 | − | 5.98141i | −0.753362 | − | 0.201863i | ||||
\(879\) | 2.43408 | − | 0.652210i | 0.0820996 | − | 0.0219985i | ||||
\(880\) | 5.36140i | 0.180733i | ||||||||
\(881\) | 4.00050 | + | 6.92907i | 0.134780 | + | 0.233446i | 0.925513 | − | 0.378715i | \(-0.123634\pi\) |
−0.790733 | + | 0.612161i | \(0.790300\pi\) | |||||||
\(882\) | −7.30232 | − | 1.09729i | −0.245882 | − | 0.0369476i | ||||
\(883\) | − | 49.8829i | − | 1.67869i | −0.543597 | − | 0.839346i | \(-0.682938\pi\) | ||
0.543597 | − | 0.839346i | \(-0.317062\pi\) | |||||||
\(884\) | −7.63409 | + | 24.2968i | −0.256762 | + | 0.817190i | ||||
\(885\) | 16.5427 | + | 9.55094i | 0.556077 | + | 0.321051i | ||||
\(886\) | 14.7349 | − | 14.7349i | 0.495028 | − | 0.495028i | ||||
\(887\) | 8.54675 | + | 4.93447i | 0.286972 | + | 0.165683i | 0.636575 | − | 0.771215i | \(-0.280350\pi\) |
−0.349604 | + | 0.936898i | \(0.613684\pi\) | |||||||
\(888\) | −14.8273 | + | 25.6817i | −0.497573 | + | 0.861822i | ||||
\(889\) | −21.5475 | − | 10.8716i | −0.722680 | − | 0.364621i | ||||
\(890\) | 5.76604 | + | 21.5192i | 0.193278 | + | 0.721324i | ||||
\(891\) | 0.669085 | + | 0.669085i | 0.0224152 | + | 0.0224152i | ||||
\(892\) | −1.39116 | − | 5.19188i | −0.0465795 | − | 0.173837i | ||||
\(893\) | −4.02674 | − | 6.97453i | −0.134750 | − | 0.233394i | ||||
\(894\) | −0.396902 | + | 0.687454i | −0.0132744 | + | 0.0229919i | ||||
\(895\) | 68.2563 | + | 18.2892i | 2.28156 | + | 0.611341i | ||||
\(896\) | −2.01825 | − | 1.80281i | −0.0674252 | − | 0.0602275i | ||||
\(897\) | −23.8539 | − | 7.49493i | −0.796459 | − | 0.250249i | ||||
\(898\) | 17.3467 | + | 30.0454i | 0.578868 | + | 1.00263i | ||||
\(899\) | −10.9928 | − | 10.9928i | −0.366631 | − | 0.366631i | ||||
\(900\) | 9.32781 | 0.310927 | ||||||||
\(901\) | 11.9080 | 0.396713 | ||||||||
\(902\) | −0.319631 | − | 0.319631i | −0.0106426 | − | 0.0106426i | ||||
\(903\) | 0.285667 | − | 0.0161072i | 0.00950639 | − | 0.000536014i | ||||
\(904\) | 7.90959 | − | 2.11937i | 0.263069 | − | 0.0704891i | ||||
\(905\) | 11.5551 | − | 43.1241i | 0.384104 | − | 1.43349i | ||||
\(906\) | −0.0597559 | + | 0.0345001i | −0.00198526 | + | 0.00114619i | ||||
\(907\) | − | 20.7745i | − | 0.689806i | −0.938638 | − | 0.344903i | \(-0.887912\pi\) | ||
0.938638 | − | 0.344903i | \(-0.112088\pi\) | |||||||
\(908\) | 4.79254 | + | 17.8860i | 0.159046 | + | 0.593568i | ||||
\(909\) | 18.7168 | 0.620796 | ||||||||
\(910\) | 27.6408 | − | 28.4082i | 0.916284 | − | 0.941722i | ||||
\(911\) | 15.1029 | 0.500380 | 0.250190 | − | 0.968197i | \(-0.419507\pi\) | ||||
0.250190 | + | 0.968197i | \(0.419507\pi\) | |||||||
\(912\) | −0.649779 | − | 2.42501i | −0.0215163 | − | 0.0803000i | ||||
\(913\) | 11.0541i | 0.365838i | ||||||||
\(914\) | 14.3325 | − | 8.27485i | 0.474076 | − | 0.273708i | ||||
\(915\) | 6.74752 | − | 25.1821i | 0.223066 | − | 0.832494i | ||||
\(916\) | 18.7979 | − | 5.03687i | 0.621099 | − | 0.166423i | ||||
\(917\) | −18.5217 | − | 9.34494i | −0.611639 | − | 0.308597i | ||||
\(918\) | 5.93888 | + | 5.93888i | 0.196012 | + | 0.196012i | ||||
\(919\) | −8.72439 | −0.287791 | −0.143896 | − | 0.989593i | \(-0.545963\pi\) | ||||
−0.143896 | + | 0.989593i | \(0.545963\pi\) | |||||||
\(920\) | 83.1916 | 2.74275 | ||||||||
\(921\) | 14.0560 | + | 14.0560i | 0.463160 | + | 0.463160i | ||||
\(922\) | −0.879010 | − | 1.52249i | −0.0289486 | − | 0.0501405i | ||||
\(923\) | 33.1000 | − | 17.2728i | 1.08950 | − | 0.568541i | ||||
\(924\) | 2.10961 | − | 0.694714i | 0.0694011 | − | 0.0228544i | ||||
\(925\) | −98.8819 | − | 26.4953i | −3.25122 | − | 0.871161i | ||||
\(926\) | −14.0716 | + | 24.3728i | −0.462422 | + | 0.800939i | ||||
\(927\) | 3.28825 | + | 5.69542i | 0.108000 | + | 0.187062i | ||||
\(928\) | −4.06218 | − | 15.1602i | −0.133347 | − | 0.497659i | ||||
\(929\) | 13.2612 | + | 13.2612i | 0.435087 | + | 0.435087i | 0.890355 | − | 0.455268i | \(-0.150457\pi\) |
−0.455268 | + | 0.890355i | \(0.650457\pi\) | |||||||
\(930\) | −4.87209 | − | 18.1829i | −0.159762 | − | 0.596240i | ||||
\(931\) | 11.3700 | − | 4.46831i | 0.372637 | − | 0.146443i | ||||
\(932\) | −5.08280 | + | 8.80368i | −0.166493 | + | 0.288374i | ||||
\(933\) | 8.78798 | + | 5.07374i | 0.287706 | + | 0.166107i | ||||
\(934\) | 17.0844 | − | 17.0844i | 0.559019 | − | 0.559019i | ||||
\(935\) | 25.6978 | + | 14.8366i | 0.840408 | + | 0.485210i | ||||
\(936\) | −5.89105 | + | 9.26751i | −0.192555 | + | 0.302918i | ||||
\(937\) | 21.0904i | 0.688992i | 0.938788 | + | 0.344496i | \(0.111950\pi\) | ||||
−0.938788 | + | 0.344496i | \(0.888050\pi\) | |||||||
\(938\) | −0.710813 | − | 12.6065i | −0.0232089 | − | 0.411617i | ||||
\(939\) | 13.4009 | + | 23.2110i | 0.437320 | + | 0.757461i | ||||
\(940\) | − | 16.1254i | − | 0.525953i | ||||||
\(941\) | −4.47139 | + | 1.19811i | −0.145763 | + | 0.0390572i | −0.330963 | − | 0.943644i | \(-0.607374\pi\) |
0.185200 | + | 0.982701i | \(0.440707\pi\) | |||||||
\(942\) | −7.54611 | − | 2.02197i | −0.245866 | − | 0.0658795i | ||||
\(943\) | −2.22061 | + | 2.22061i | −0.0723132 | + | 0.0723132i | ||||
\(944\) | 4.93311 | − | 4.93311i | 0.160559 | − | 0.160559i | ||||
\(945\) | 3.25954 | + | 9.89813i | 0.106033 | + | 0.321986i | ||||
\(946\) | 0.0934842 | − | 0.0539732i | 0.00303943 | − | 0.00175482i | ||||
\(947\) | −31.7665 | + | 8.51180i | −1.03227 | + | 0.276596i | −0.734907 | − | 0.678168i | \(-0.762774\pi\) |
−0.297364 | + | 0.954764i | \(0.596108\pi\) | |||||||
\(948\) | 0.420390 | − | 0.728137i | 0.0136536 | − | 0.0236488i | ||||
\(949\) | −13.0882 | + | 6.82988i | −0.424860 | + | 0.221707i | ||||
\(950\) | 16.7632 | − | 9.67823i | 0.543870 | − | 0.314003i | ||||
\(951\) | 3.31452 | − | 12.3700i | 0.107481 | − | 0.401124i | ||||
\(952\) | 60.9377 | − | 20.0673i | 1.97500 | − | 0.650386i | ||||
\(953\) | −2.61428 | − | 1.50935i | −0.0846848 | − | 0.0488928i | 0.457060 | − | 0.889436i | \(-0.348903\pi\) |
−0.541744 | + | 0.840543i | \(0.682236\pi\) | |||||||
\(954\) | 1.52400 | + | 0.408356i | 0.0493415 | + | 0.0132210i | ||||
\(955\) | −14.9538 | + | 55.8082i | −0.483893 | + | 1.80591i | ||||
\(956\) | 1.58928 | − | 5.93128i | 0.0514011 | − | 0.191831i | ||||
\(957\) | 3.13631 | + | 0.840371i | 0.101382 | + | 0.0271653i | ||||
\(958\) | 0.700759 | + | 0.404583i | 0.0226405 | + | 0.0130715i | ||||
\(959\) | 19.1258 | − | 6.29831i | 0.617605 | − | 0.203383i | ||||
\(960\) | 7.85171 | − | 29.3030i | 0.253413 | − | 0.945749i | ||||
\(961\) | −9.07123 | + | 5.23728i | −0.292620 | + | 0.168944i | ||||
\(962\) | 27.2787 | − | 25.0465i | 0.879500 | − | 0.807531i | ||||
\(963\) | 2.59676 | − | 4.49772i | 0.0836794 | − | 0.144937i | ||||
\(964\) | −7.11446 | + | 1.90631i | −0.229141 | + | 0.0613982i | ||||
\(965\) | 39.9757 | − | 23.0800i | 1.28686 | − | 0.742970i | ||||
\(966\) | 6.05396 | + | 18.3838i | 0.194783 | + | 0.591490i | ||||
\(967\) | −13.5833 | + | 13.5833i | −0.436809 | + | 0.436809i | −0.890936 | − | 0.454128i | \(-0.849951\pi\) |
0.454128 | + | 0.890936i | \(0.349951\pi\) | |||||||
\(968\) | −21.7617 | + | 21.7617i | −0.699447 | + | 0.699447i | ||||
\(969\) | −13.4215 | − | 3.59627i | −0.431160 | − | 0.115529i | ||||
\(970\) | −47.9918 | + | 12.8594i | −1.54092 | + | 0.412889i | ||||
\(971\) | − | 30.1296i | − | 0.966904i | −0.875371 | − | 0.483452i | \(-0.839383\pi\) | ||
0.875371 | − | 0.483452i | \(-0.160617\pi\) | |||||||
\(972\) | −0.443592 | − | 0.768324i | −0.0142282 | − | 0.0246440i | ||||
\(973\) | −0.663866 | − | 11.7739i | −0.0212826 | − | 0.377454i | ||||
\(974\) | − | 7.79047i | − | 0.249623i | ||||||
\(975\) | −36.1654 | − | 11.3632i | −1.15822 | − | 0.363914i | ||||
\(976\) | −8.24590 | − | 4.76077i | −0.263945 | − | 0.152389i | ||||
\(977\) | 14.7964 | − | 14.7964i | 0.473379 | − | 0.473379i | −0.429628 | − | 0.903006i | \(-0.641355\pi\) |
0.903006 | + | 0.429628i | \(0.141355\pi\) | |||||||
\(978\) | 4.23254 | + | 2.44366i | 0.135342 | + | 0.0781395i | ||||
\(979\) | 2.53674 | − | 4.39376i | 0.0810745 | − | 0.140425i | ||||
\(980\) | 24.1894 | + | 3.63483i | 0.772701 | + | 0.116110i | ||||
\(981\) | 2.95407 | + | 11.0247i | 0.0943162 | + | 0.351993i | ||||
\(982\) | −5.32220 | − | 5.32220i | −0.169838 | − | 0.169838i | ||||
\(983\) | 1.47016 | + | 5.48673i | 0.0468910 | + | 0.174999i | 0.985400 | − | 0.170255i | \(-0.0544592\pi\) |
−0.938509 | + | 0.345255i | \(0.887793\pi\) | |||||||
\(984\) | 0.689624 | + | 1.19446i | 0.0219844 | + | 0.0380781i | ||||
\(985\) | −20.9696 | + | 36.3203i | −0.668146 | + | 1.15726i | ||||
\(986\) | 27.8382 | + | 7.45923i | 0.886549 | + | 0.237550i | ||||
\(987\) | 11.5965 | − | 3.81884i | 0.369121 | − | 0.121555i | ||||
\(988\) | 0.237939 | − | 5.57750i | 0.00756985 | − | 0.177444i | ||||
\(989\) | −0.374975 | − | 0.649475i | −0.0119235 | − | 0.0206521i | ||||
\(990\) | 2.78006 | + | 2.78006i | 0.0883561 | + | 0.0883561i | ||||
\(991\) | −52.6658 | −1.67298 | −0.836492 | − | 0.547979i | \(-0.815397\pi\) | ||||
−0.836492 | + | 0.547979i | \(0.815397\pi\) | |||||||
\(992\) | 20.7219 | 0.657922 | ||||||||
\(993\) | 0.534490 | + | 0.534490i | 0.0169615 | + | 0.0169615i | ||||
\(994\) | −25.8029 | − | 13.0186i | −0.818417 | − | 0.412925i | ||||
\(995\) | 80.8670 | − | 21.6682i | 2.56366 | − | 0.686929i | ||||
\(996\) | 2.68249 | − | 10.0112i | 0.0849979 | − | 0.317216i | ||||
\(997\) | 22.9450 | − | 13.2473i | 0.726675 | − | 0.419546i | −0.0905295 | − | 0.995894i | \(-0.528856\pi\) |
0.817205 | + | 0.576348i | \(0.195523\pi\) | |||||||
\(998\) | − | 22.6039i | − | 0.715514i | ||||||
\(999\) | 2.52002 | + | 9.40483i | 0.0797298 | + | 0.297556i |
(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 | 273.2.cg.a.262.4 | yes | 36 | |
3.2 | odd | 2 | 819.2.gh.c.262.6 | 36 | |||
7.5 | odd | 6 | 273.2.bt.a.145.4 | ✓ | 36 | ||
13.7 | odd | 12 | 273.2.bt.a.241.4 | yes | 36 | ||
21.5 | even | 6 | 819.2.et.c.145.6 | 36 | |||
39.20 | even | 12 | 819.2.et.c.514.6 | 36 | |||
91.33 | even | 12 | inner | 273.2.cg.a.124.4 | yes | 36 | |
273.215 | odd | 12 | 819.2.gh.c.397.6 | 36 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
273.2.bt.a.145.4 | ✓ | 36 | 7.5 | odd | 6 | ||
273.2.bt.a.241.4 | yes | 36 | 13.7 | odd | 12 | ||
273.2.cg.a.124.4 | yes | 36 | 91.33 | even | 12 | inner | |
273.2.cg.a.262.4 | yes | 36 | 1.1 | even | 1 | trivial | |
819.2.et.c.145.6 | 36 | 21.5 | even | 6 | |||
819.2.et.c.514.6 | 36 | 39.20 | even | 12 | |||
819.2.gh.c.262.6 | 36 | 3.2 | odd | 2 | |||
819.2.gh.c.397.6 | 36 | 273.215 | odd | 12 |