Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [360,2,Mod(59,360)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(360, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 3, 5, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("360.59");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 360 = 2^{3} \cdot 3^{2} \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 360.bd (of order \(6\), 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: | \(2.87461447277\) |
Analytic rank: | \(0\) |
Dimension: | \(128\) |
Relative dimension: | \(64\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 59.8 | ||
Character | \(\chi\) | \(=\) | 360.59 |
Dual form | 360.2.bd.b.299.8 |
$q$-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 \(\left(\mathbb{Z}/360\mathbb{Z}\right)^\times\).
\(n\) | \(181\) | \(217\) | \(271\) | \(281\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(-1\) | \(e\left(\frac{5}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.29321 | + | 0.572373i | −0.914437 | + | 0.404729i | ||||
\(3\) | 1.41725 | − | 0.995694i | 0.818249 | − | 0.574864i | ||||
\(4\) | 1.34478 | − | 1.48040i | 0.672389 | − | 0.740198i | ||||
\(5\) | −0.776540 | − | 2.09690i | −0.347279 | − | 0.937762i | ||||
\(6\) | −1.26289 | + | 2.09884i | −0.515573 | + | 0.856846i | ||||
\(7\) | −0.720108 | − | 1.24726i | −0.272175 | − | 0.471421i | 0.697243 | − | 0.716834i | \(-0.254410\pi\) |
−0.969419 | + | 0.245413i | \(0.921076\pi\) | |||||||
\(8\) | −0.891741 | + | 2.68418i | −0.315278 | + | 0.948999i | ||||
\(9\) | 1.01719 | − | 2.82229i | 0.339062 | − | 0.940764i | ||||
\(10\) | 2.20444 | + | 2.26726i | 0.697104 | + | 0.716970i | ||||
\(11\) | −1.12107 | + | 0.647253i | −0.338017 | + | 0.195154i | −0.659395 | − | 0.751797i | \(-0.729187\pi\) |
0.321378 | + | 0.946951i | \(0.395854\pi\) | |||||||
\(12\) | 0.431864 | − | 3.43708i | 0.124668 | − | 0.992198i | ||||
\(13\) | 0.850182 | − | 1.47256i | 0.235798 | − | 0.408414i | −0.723706 | − | 0.690108i | \(-0.757563\pi\) |
0.959504 | + | 0.281694i | \(0.0908962\pi\) | |||||||
\(14\) | 1.64515 | + | 1.20080i | 0.439685 | + | 0.320928i | ||||
\(15\) | −3.18842 | − | 2.19863i | −0.823247 | − | 0.567684i | ||||
\(16\) | −0.383142 | − | 3.98161i | −0.0957855 | − | 0.995402i | ||||
\(17\) | −4.93422 | −1.19672 | −0.598362 | − | 0.801226i | \(-0.704182\pi\) | ||||
−0.598362 | + | 0.801226i | \(0.704182\pi\) | |||||||
\(18\) | 0.299969 | + | 4.23202i | 0.0707033 | + | 0.997497i | ||||
\(19\) | 1.68641 | 0.386889 | 0.193444 | − | 0.981111i | \(-0.438034\pi\) | ||||
0.193444 | + | 0.981111i | \(0.438034\pi\) | |||||||
\(20\) | −4.14851 | − | 1.67028i | −0.927636 | − | 0.373486i | ||||
\(21\) | −2.26246 | − | 1.05068i | −0.493710 | − | 0.229276i | ||||
\(22\) | 1.07931 | − | 1.47871i | 0.230110 | − | 0.315261i | ||||
\(23\) | 0.349093 | + | 0.201549i | 0.0727910 | + | 0.0420259i | 0.535954 | − | 0.844247i | \(-0.319952\pi\) |
−0.463163 | + | 0.886273i | \(0.653285\pi\) | |||||||
\(24\) | 1.40880 | + | 4.69204i | 0.287570 | + | 0.957760i | ||||
\(25\) | −3.79397 | + | 3.25665i | −0.758794 | + | 0.651330i | ||||
\(26\) | −0.256610 | + | 2.39095i | −0.0503254 | + | 0.468903i | ||||
\(27\) | −1.36853 | − | 5.01270i | −0.263374 | − | 0.964694i | ||||
\(28\) | −2.81483 | − | 0.611248i | −0.531953 | − | 0.115515i | ||||
\(29\) | −0.332757 | − | 0.576352i | −0.0617914 | − | 0.107026i | 0.833475 | − | 0.552557i | \(-0.186348\pi\) |
−0.895266 | + | 0.445532i | \(0.853015\pi\) | |||||||
\(30\) | 5.38173 | + | 1.01832i | 0.982565 | + | 0.185920i | ||||
\(31\) | −2.31653 | − | 1.33745i | −0.416061 | − | 0.240213i | 0.277329 | − | 0.960775i | \(-0.410551\pi\) |
−0.693391 | + | 0.720562i | \(0.743884\pi\) | |||||||
\(32\) | 2.77445 | + | 4.92975i | 0.490458 | + | 0.871465i | ||||
\(33\) | −0.944376 | + | 2.03357i | −0.164395 | + | 0.353998i | ||||
\(34\) | 6.38098 | − | 2.82421i | 1.09433 | − | 0.484349i | ||||
\(35\) | −2.05619 | + | 2.47854i | −0.347560 | + | 0.418950i | ||||
\(36\) | −2.81022 | − | 5.30120i | −0.468370 | − | 0.883533i | ||||
\(37\) | 9.59254 | 1.57700 | 0.788502 | − | 0.615033i | \(-0.210857\pi\) | ||||
0.788502 | + | 0.615033i | \(0.210857\pi\) | |||||||
\(38\) | −2.18088 | + | 0.965255i | −0.353785 | + | 0.156585i | ||||
\(39\) | −0.261299 | − | 2.93350i | −0.0418413 | − | 0.469737i | ||||
\(40\) | 6.32092 | − | 0.214479i | 0.999425 | − | 0.0339120i | ||||
\(41\) | −3.52205 | − | 2.03346i | −0.550052 | − | 0.317573i | 0.199091 | − | 0.979981i | \(-0.436201\pi\) |
−0.749143 | + | 0.662408i | \(0.769534\pi\) | |||||||
\(42\) | 3.52722 | + | 0.0637689i | 0.544261 | + | 0.00983975i | ||||
\(43\) | 6.92616 | − | 3.99882i | 1.05623 | − | 0.609814i | 0.131843 | − | 0.991271i | \(-0.457911\pi\) |
0.924387 | + | 0.381456i | \(0.124577\pi\) | |||||||
\(44\) | −0.549407 | + | 2.53005i | −0.0828262 | + | 0.381419i | ||||
\(45\) | −6.70795 | + | 0.0586845i | −0.999962 | + | 0.00874817i | ||||
\(46\) | −0.566812 | − | 0.0608336i | −0.0835719 | − | 0.00896942i | ||||
\(47\) | 6.55826 | − | 3.78641i | 0.956620 | − | 0.552305i | 0.0614890 | − | 0.998108i | \(-0.480415\pi\) |
0.895131 | + | 0.445803i | \(0.147082\pi\) | |||||||
\(48\) | −4.50747 | − | 5.26144i | −0.650597 | − | 0.759423i | ||||
\(49\) | 2.46289 | − | 4.26585i | 0.351841 | − | 0.609407i | ||||
\(50\) | 3.04238 | − | 6.38310i | 0.430257 | − | 0.902706i | ||||
\(51\) | −6.99302 | + | 4.91297i | −0.979218 | + | 0.687954i | ||||
\(52\) | −1.03666 | − | 3.23887i | −0.143759 | − | 0.449151i | ||||
\(53\) | − | 8.58587i | − | 1.17936i | −0.807637 | − | 0.589680i | \(-0.799254\pi\) | ||
0.807637 | − | 0.589680i | \(-0.200746\pi\) | |||||||
\(54\) | 4.63893 | + | 5.69915i | 0.631278 | + | 0.775556i | ||||
\(55\) | 2.22778 | + | 1.84816i | 0.300394 | + | 0.249206i | ||||
\(56\) | 3.99002 | − | 0.820660i | 0.533189 | − | 0.109665i | ||||
\(57\) | 2.39006 | − | 1.67915i | 0.316571 | − | 0.222409i | ||||
\(58\) | 0.760212 | + | 0.554882i | 0.0998208 | + | 0.0728596i | ||||
\(59\) | 9.88161 | + | 5.70515i | 1.28648 | + | 0.742748i | 0.978024 | − | 0.208492i | \(-0.0668555\pi\) |
0.308453 | + | 0.951240i | \(0.400189\pi\) | |||||||
\(60\) | −7.54256 | + | 1.76345i | −0.973741 | + | 0.227661i | ||||
\(61\) | −13.2537 | + | 7.65204i | −1.69696 | + | 0.979743i | −0.748353 | + | 0.663301i | \(0.769155\pi\) |
−0.948612 | + | 0.316442i | \(0.897512\pi\) | |||||||
\(62\) | 3.76128 | + | 0.403682i | 0.477683 | + | 0.0512677i | ||||
\(63\) | −4.25263 | + | 0.763655i | −0.535780 | + | 0.0962115i | ||||
\(64\) | −6.40960 | − | 4.78718i | −0.801199 | − | 0.598397i | ||||
\(65\) | −3.74801 | − | 0.639246i | −0.464883 | − | 0.0792887i | ||||
\(66\) | 0.0573172 | − | 3.17036i | 0.00705527 | − | 0.390244i | ||||
\(67\) | 11.4396 | + | 6.60467i | 1.39757 | + | 0.806889i | 0.994138 | − | 0.108119i | \(-0.0344829\pi\) |
0.403435 | + | 0.915008i | \(0.367816\pi\) | |||||||
\(68\) | −6.63543 | + | 7.30460i | −0.804664 | + | 0.885813i | ||||
\(69\) | 0.695433 | − | 0.0619450i | 0.0837204 | − | 0.00745730i | ||||
\(70\) | 1.24044 | − | 4.38218i | 0.148260 | − | 0.523771i | ||||
\(71\) | 9.33841 | 1.10827 | 0.554133 | − | 0.832428i | \(-0.313050\pi\) | ||||
0.554133 | + | 0.832428i | \(0.313050\pi\) | |||||||
\(72\) | 6.66846 | + | 5.24706i | 0.785885 | + | 0.618372i | ||||
\(73\) | − | 0.771629i | − | 0.0903123i | −0.998980 | − | 0.0451562i | \(-0.985621\pi\) | ||
0.998980 | − | 0.0451562i | \(-0.0143785\pi\) | |||||||
\(74\) | −12.4052 | + | 5.49051i | −1.44207 | + | 0.638259i | ||||
\(75\) | −2.13437 | + | 8.39312i | −0.246456 | + | 0.969154i | ||||
\(76\) | 2.26785 | − | 2.49655i | 0.260140 | − | 0.286374i | ||||
\(77\) | 1.61459 | + | 0.932184i | 0.184000 | + | 0.106232i | ||||
\(78\) | 2.01697 | + | 3.64407i | 0.228377 | + | 0.412610i | ||||
\(79\) | −6.51748 | + | 3.76287i | −0.733274 | + | 0.423356i | −0.819619 | − | 0.572909i | \(-0.805815\pi\) |
0.0863445 | + | 0.996265i | \(0.472481\pi\) | |||||||
\(80\) | −8.05151 | + | 3.89529i | −0.900186 | + | 0.435506i | ||||
\(81\) | −6.93066 | − | 5.74160i | −0.770074 | − | 0.637955i | ||||
\(82\) | 5.71864 | + | 0.613758i | 0.631518 | + | 0.0677782i | ||||
\(83\) | 7.32676 | + | 12.6903i | 0.804216 | + | 1.39294i | 0.916819 | + | 0.399303i | \(0.130748\pi\) |
−0.112603 | + | 0.993640i | \(0.535919\pi\) | |||||||
\(84\) | −4.59793 | + | 1.93642i | −0.501675 | + | 0.211280i | ||||
\(85\) | 3.83162 | + | 10.3466i | 0.415597 | + | 1.12224i | ||||
\(86\) | −6.66816 | + | 9.13566i | −0.719046 | + | 0.985123i | ||||
\(87\) | −1.04547 | − | 0.485510i | −0.112086 | − | 0.0520521i | ||||
\(88\) | −0.737632 | − | 3.58634i | −0.0786318 | − | 0.382305i | ||||
\(89\) | − | 8.08405i | − | 0.856908i | −0.903564 | − | 0.428454i | \(-0.859058\pi\) | ||
0.903564 | − | 0.428454i | \(-0.140942\pi\) | |||||||
\(90\) | 8.64119 | − | 3.91534i | 0.910861 | − | 0.412713i | ||||
\(91\) | −2.44889 | −0.256714 | ||||||||
\(92\) | 0.767826 | − | 0.245757i | 0.0800514 | − | 0.0256220i | ||||
\(93\) | −4.61479 | + | 0.411057i | −0.478532 | + | 0.0426247i | ||||
\(94\) | −6.31396 | + | 8.65039i | −0.651235 | + | 0.892220i | ||||
\(95\) | −1.30956 | − | 3.53623i | −0.134358 | − | 0.362810i | ||||
\(96\) | 8.84060 | + | 4.22418i | 0.902290 | + | 0.431129i | ||||
\(97\) | −6.55880 | + | 3.78673i | −0.665945 | + | 0.384484i | −0.794539 | − | 0.607214i | \(-0.792287\pi\) |
0.128593 | + | 0.991697i | \(0.458954\pi\) | |||||||
\(98\) | −0.743374 | + | 6.92633i | −0.0750921 | + | 0.699665i | ||||
\(99\) | 0.686394 | + | 3.82238i | 0.0689852 | + | 0.384163i | ||||
\(100\) | −0.280918 | + | 9.99605i | −0.0280918 | + | 0.999605i | ||||
\(101\) | 6.96473 | + | 12.0633i | 0.693017 | + | 1.20034i | 0.970845 | + | 0.239709i | \(0.0770521\pi\) |
−0.277828 | + | 0.960631i | \(0.589615\pi\) | |||||||
\(102\) | 6.23138 | − | 10.3561i | 0.616998 | − | 1.02541i | ||||
\(103\) | −5.29655 | + | 9.17389i | −0.521884 | + | 0.903930i | 0.477792 | + | 0.878473i | \(0.341437\pi\) |
−0.999676 | + | 0.0254569i | \(0.991896\pi\) | |||||||
\(104\) | 3.19446 | + | 3.59518i | 0.313243 | + | 0.352536i | ||||
\(105\) | −0.446265 | + | 5.56005i | −0.0435511 | + | 0.542605i | ||||
\(106\) | 4.91432 | + | 11.1033i | 0.477321 | + | 1.07845i | ||||
\(107\) | −12.2503 | −1.18428 | −0.592139 | − | 0.805836i | \(-0.701716\pi\) | ||||
−0.592139 | + | 0.805836i | \(0.701716\pi\) | |||||||
\(108\) | −9.26115 | − | 4.71500i | −0.891154 | − | 0.453701i | ||||
\(109\) | − | 9.75538i | − | 0.934395i | −0.884153 | − | 0.467198i | \(-0.845264\pi\) | ||
0.884153 | − | 0.467198i | \(-0.154736\pi\) | |||||||
\(110\) | −3.93883 | − | 1.11494i | −0.375552 | − | 0.106305i | ||||
\(111\) | 13.5950 | − | 9.55123i | 1.29038 | − | 0.906563i | ||||
\(112\) | −4.69021 | + | 3.34507i | −0.443183 | + | 0.316079i | ||||
\(113\) | 4.18656 | − | 7.25134i | 0.393839 | − | 0.682149i | −0.599113 | − | 0.800664i | \(-0.704480\pi\) |
0.992952 | + | 0.118515i | \(0.0378135\pi\) | |||||||
\(114\) | −2.12975 | + | 3.53950i | −0.199469 | + | 0.331504i | ||||
\(115\) | 0.151543 | − | 0.888525i | 0.0141315 | − | 0.0828554i | ||||
\(116\) | −1.30071 | − | 0.282454i | −0.120768 | − | 0.0262252i | ||||
\(117\) | −3.29120 | − | 3.89733i | −0.304271 | − | 0.360308i | ||||
\(118\) | −16.0445 | − | 1.72199i | −1.47701 | − | 0.158522i | ||||
\(119\) | 3.55317 | + | 6.15427i | 0.325719 | + | 0.564161i | ||||
\(120\) | 8.74476 | − | 6.59767i | 0.798283 | − | 0.602282i | ||||
\(121\) | −4.66213 | + | 8.07504i | −0.423830 | + | 0.734095i | ||||
\(122\) | 12.7600 | − | 17.4818i | 1.15524 | − | 1.58272i | ||||
\(123\) | −7.01632 | + | 0.624971i | −0.632640 | + | 0.0563517i | ||||
\(124\) | −5.09518 | + | 1.63081i | −0.457560 | + | 0.146451i | ||||
\(125\) | 9.77504 | + | 5.42665i | 0.874306 | + | 0.485375i | ||||
\(126\) | 5.06244 | − | 3.42165i | 0.450998 | − | 0.304825i | ||||
\(127\) | 13.6734 | 1.21332 | 0.606660 | − | 0.794961i | \(-0.292509\pi\) | ||||
0.606660 | + | 0.794961i | \(0.292509\pi\) | |||||||
\(128\) | 11.0290 | + | 2.52214i | 0.974835 | + | 0.222928i | ||||
\(129\) | 5.83449 | − | 12.5637i | 0.513698 | − | 1.10617i | ||||
\(130\) | 5.21284 | − | 1.31858i | 0.457197 | − | 0.115647i | ||||
\(131\) | 13.2083 | + | 7.62581i | 1.15401 | + | 0.666270i | 0.949862 | − | 0.312669i | \(-0.101223\pi\) |
0.204151 | + | 0.978939i | \(0.434556\pi\) | |||||||
\(132\) | 1.74051 | + | 4.13274i | 0.151492 | + | 0.359709i | ||||
\(133\) | −1.21440 | − | 2.10340i | −0.105302 | − | 0.182388i | ||||
\(134\) | −18.5742 | − | 1.99349i | −1.60456 | − | 0.172211i | ||||
\(135\) | −9.44840 | + | 6.76223i | −0.813188 | + | 0.582000i | ||||
\(136\) | 4.40005 | − | 13.2443i | 0.377301 | − | 1.13569i | ||||
\(137\) | −5.26641 | − | 9.12170i | −0.449940 | − | 0.779319i | 0.548441 | − | 0.836189i | \(-0.315221\pi\) |
−0.998382 | + | 0.0568698i | \(0.981888\pi\) | |||||||
\(138\) | −0.863885 | + | 0.478155i | −0.0735388 | + | 0.0407033i | ||||
\(139\) | 6.25402 | − | 10.8323i | 0.530459 | − | 0.918782i | −0.468910 | − | 0.883246i | \(-0.655353\pi\) |
0.999368 | − | 0.0355356i | \(-0.0113137\pi\) | |||||||
\(140\) | 0.904101 | + | 6.37707i | 0.0764105 | + | 0.538961i | ||||
\(141\) | 5.52457 | − | 11.8963i | 0.465253 | − | 1.00185i | ||||
\(142\) | −12.0765 | + | 5.34505i | −1.01344 | + | 0.448547i | ||||
\(143\) | 2.20113i | 0.184068i | ||||||||
\(144\) | −11.6270 | − | 2.96870i | −0.968916 | − | 0.247392i | ||||
\(145\) | −0.950153 | + | 1.14532i | −0.0789059 | + | 0.0951135i | ||||
\(146\) | 0.441659 | + | 0.997877i | 0.0365520 | + | 0.0825849i | ||||
\(147\) | −0.756955 | − | 8.49805i | −0.0624326 | − | 0.700908i | ||||
\(148\) | 12.8998 | − | 14.2007i | 1.06036 | − | 1.16729i | ||||
\(149\) | 2.55486 | − | 4.42514i | 0.209302 | − | 0.362522i | −0.742193 | − | 0.670186i | \(-0.766214\pi\) |
0.951495 | + | 0.307665i | \(0.0995475\pi\) | |||||||
\(150\) | −2.04381 | − | 12.0757i | −0.166876 | − | 0.985978i | ||||
\(151\) | −4.51125 | + | 2.60457i | −0.367120 | + | 0.211957i | −0.672200 | − | 0.740370i | \(-0.734650\pi\) |
0.305079 | + | 0.952327i | \(0.401317\pi\) | |||||||
\(152\) | −1.50384 | + | 4.52662i | −0.121978 | + | 0.367157i | ||||
\(153\) | −5.01902 | + | 13.9258i | −0.405764 | + | 1.12583i | ||||
\(154\) | −2.62156 | − | 0.281361i | −0.211251 | − | 0.0226727i | ||||
\(155\) | −1.00562 | + | 5.89612i | −0.0807732 | + | 0.473587i | ||||
\(156\) | −4.69413 | − | 3.55809i | −0.375832 | − | 0.284875i | ||||
\(157\) | −9.29315 | + | 16.0962i | −0.741674 | + | 1.28462i | 0.210058 | + | 0.977689i | \(0.432635\pi\) |
−0.951732 | + | 0.306929i | \(0.900699\pi\) | |||||||
\(158\) | 6.27470 | − | 8.59661i | 0.499189 | − | 0.683910i | ||||
\(159\) | −8.54890 | − | 12.1683i | −0.677972 | − | 0.965010i | ||||
\(160\) | 8.18272 | − | 9.64588i | 0.646901 | − | 0.762574i | ||||
\(161\) | − | 0.580549i | − | 0.0457536i | ||||||
\(162\) | 12.2491 | + | 3.45816i | 0.962382 | + | 0.271699i | ||||
\(163\) | − | 10.4828i | − | 0.821073i | −0.911844 | − | 0.410537i | \(-0.865341\pi\) | ||
0.911844 | − | 0.410537i | \(-0.134659\pi\) | |||||||
\(164\) | −7.74670 | + | 2.47948i | −0.604915 | + | 0.193615i | ||||
\(165\) | 4.99753 | + | 0.401116i | 0.389057 | + | 0.0312268i | ||||
\(166\) | −16.7386 | − | 12.2176i | −1.29917 | − | 0.948269i | ||||
\(167\) | −4.75841 | − | 2.74727i | −0.368217 | − | 0.212590i | 0.304462 | − | 0.952524i | \(-0.401523\pi\) |
−0.672679 | + | 0.739934i | \(0.734857\pi\) | |||||||
\(168\) | 4.83773 | − | 5.13592i | 0.373239 | − | 0.396245i | ||||
\(169\) | 5.05438 | + | 8.75444i | 0.388798 | + | 0.673419i | ||||
\(170\) | −10.8772 | − | 11.1872i | −0.834241 | − | 0.858015i | ||||
\(171\) | 1.71539 | − | 4.75954i | 0.131179 | − | 0.363971i | ||||
\(172\) | 3.39431 | − | 15.6310i | 0.258814 | − | 1.19185i | ||||
\(173\) | 9.75561 | − | 5.63241i | 0.741705 | − | 0.428224i | −0.0809836 | − | 0.996715i | \(-0.525806\pi\) |
0.822689 | + | 0.568492i | \(0.192473\pi\) | |||||||
\(174\) | 1.62990 | + | 0.0294672i | 0.123563 | + | 0.00223390i | ||||
\(175\) | 6.79397 | + | 2.38694i | 0.513576 | + | 0.180436i | ||||
\(176\) | 3.00664 | + | 4.21569i | 0.226634 | + | 0.317770i | ||||
\(177\) | 19.6853 | − | 1.75345i | 1.47964 | − | 0.131797i | ||||
\(178\) | 4.62709 | + | 10.4544i | 0.346815 | + | 0.783588i | ||||
\(179\) | − | 19.5880i | − | 1.46408i | −0.681262 | − | 0.732040i | \(-0.738569\pi\) | ||
0.681262 | − | 0.732040i | \(-0.261431\pi\) | |||||||
\(180\) | −8.93383 | + | 10.0093i | −0.665888 | + | 0.746052i | ||||
\(181\) | − | 2.87567i | − | 0.213747i | −0.994273 | − | 0.106873i | \(-0.965916\pi\) | ||
0.994273 | − | 0.106873i | \(-0.0340839\pi\) | |||||||
\(182\) | 3.16693 | − | 1.40168i | 0.234748 | − | 0.103899i | ||||
\(183\) | −11.1647 | + | 24.0415i | −0.825320 | + | 1.77720i | ||||
\(184\) | −0.852294 | + | 0.757298i | −0.0628320 | + | 0.0558288i | ||||
\(185\) | −7.44899 | − | 20.1146i | −0.547660 | − | 1.47885i | ||||
\(186\) | 5.73261 | − | 3.17297i | 0.420335 | − | 0.232653i | ||||
\(187\) | 5.53163 | − | 3.19369i | 0.404513 | − | 0.233546i | ||||
\(188\) | 3.21402 | − | 14.8007i | 0.234406 | − | 1.07945i | ||||
\(189\) | −5.26666 | + | 5.31660i | −0.383093 | + | 0.386726i | ||||
\(190\) | 3.71758 | + | 3.82353i | 0.269702 | + | 0.277388i | ||||
\(191\) | 2.53572 | + | 4.39200i | 0.183478 | + | 0.317794i | 0.943063 | − | 0.332615i | \(-0.107931\pi\) |
−0.759584 | + | 0.650409i | \(0.774598\pi\) | |||||||
\(192\) | −13.8506 | − | 0.402626i | −0.999578 | − | 0.0290570i | ||||
\(193\) | −16.3552 | − | 9.44265i | −1.17727 | − | 0.679697i | −0.221889 | − | 0.975072i | \(-0.571222\pi\) |
−0.955381 | + | 0.295375i | \(0.904555\pi\) | |||||||
\(194\) | 6.31448 | − | 8.65111i | 0.453353 | − | 0.621113i | ||||
\(195\) | −5.94835 | + | 2.82590i | −0.425970 | + | 0.202367i | ||||
\(196\) | −3.00310 | − | 9.38267i | −0.214507 | − | 0.670191i | ||||
\(197\) | 4.97360i | 0.354354i | 0.984179 | + | 0.177177i | \(0.0566965\pi\) | ||||
−0.984179 | + | 0.177177i | \(0.943303\pi\) | |||||||
\(198\) | −3.07548 | − | 4.55026i | −0.218565 | − | 0.323373i | ||||
\(199\) | 12.4955i | 0.885783i | 0.896575 | + | 0.442891i | \(0.146047\pi\) | ||||
−0.896575 | + | 0.442891i | \(0.853953\pi\) | |||||||
\(200\) | −5.35819 | − | 13.0878i | −0.378881 | − | 0.925445i | ||||
\(201\) | 22.7890 | − | 2.02991i | 1.60741 | − | 0.143179i | ||||
\(202\) | −15.9115 | − | 11.6139i | −1.11953 | − | 0.817151i | ||||
\(203\) | −0.479242 | + | 0.830071i | −0.0336362 | + | 0.0582596i | ||||
\(204\) | −2.13091 | + | 16.9593i | −0.149194 | + | 1.18739i | ||||
\(205\) | −1.52894 | + | 8.96444i | −0.106786 | + | 0.626104i | ||||
\(206\) | 1.59866 | − | 14.8954i | 0.111384 | − | 1.03781i | ||||
\(207\) | 0.923924 | − | 0.780230i | 0.0642171 | − | 0.0542298i | ||||
\(208\) | −6.18889 | − | 2.82089i | −0.429123 | − | 0.195594i | ||||
\(209\) | −1.89059 | + | 1.09153i | −0.130775 | + | 0.0755029i | ||||
\(210\) | −2.60531 | − | 7.44574i | −0.179783 | − | 0.513805i | ||||
\(211\) | −2.15243 | + | 3.72811i | −0.148179 | + | 0.256654i | −0.930555 | − | 0.366153i | \(-0.880675\pi\) |
0.782375 | + | 0.622807i | \(0.214008\pi\) | |||||||
\(212\) | −12.7105 | − | 11.5461i | −0.872960 | − | 0.792989i | ||||
\(213\) | 13.2348 | − | 9.29820i | 0.906837 | − | 0.637102i | ||||
\(214\) | 15.8422 | − | 7.01172i | 1.08295 | − | 0.479312i | ||||
\(215\) | −13.7636 | − | 11.4182i | −0.938667 | − | 0.778716i | ||||
\(216\) | 14.6753 | + | 0.796645i | 0.998530 | + | 0.0542048i | ||||
\(217\) | 3.85243i | 0.261520i | ||||||||
\(218\) | 5.58371 | + | 12.6157i | 0.378177 | + | 0.854446i | ||||
\(219\) | −0.768306 | − | 1.09359i | −0.0519173 | − | 0.0738979i | ||||
\(220\) | 5.73189 | − | 0.812631i | 0.386444 | − | 0.0547876i | ||||
\(221\) | −4.19499 | + | 7.26593i | −0.282185 | + | 0.488759i | ||||
\(222\) | −12.1143 | + | 20.1332i | −0.813060 | + | 1.35125i | ||||
\(223\) | 4.45849 | + | 7.72233i | 0.298563 | + | 0.517125i | 0.975807 | − | 0.218632i | \(-0.0701595\pi\) |
−0.677245 | + | 0.735758i | \(0.736826\pi\) | |||||||
\(224\) | 4.15080 | − | 7.01042i | 0.277337 | − | 0.468403i | ||||
\(225\) | 5.33204 | + | 14.0203i | 0.355470 | + | 0.934688i | ||||
\(226\) | −1.26363 | + | 11.7738i | −0.0840554 | + | 0.783180i | ||||
\(227\) | 4.69158 | + | 8.12606i | 0.311391 | + | 0.539345i | 0.978664 | − | 0.205468i | \(-0.0658717\pi\) |
−0.667273 | + | 0.744814i | \(0.732538\pi\) | |||||||
\(228\) | 0.728300 | − | 5.79632i | 0.0482328 | − | 0.383871i | ||||
\(229\) | 15.9796 | + | 9.22585i | 1.05596 | + | 0.609662i | 0.924313 | − | 0.381635i | \(-0.124639\pi\) |
0.131651 | + | 0.991296i | \(0.457972\pi\) | |||||||
\(230\) | 0.312590 | + | 1.23579i | 0.0206116 | + | 0.0814854i | ||||
\(231\) | 3.21644 | − | 0.286501i | 0.211627 | − | 0.0188504i | ||||
\(232\) | 1.84376 | − | 0.379221i | 0.121049 | − | 0.0248971i | ||||
\(233\) | 17.5336 | 1.14866 | 0.574331 | − | 0.818623i | \(-0.305262\pi\) | ||||
0.574331 | + | 0.818623i | \(0.305262\pi\) | |||||||
\(234\) | 6.48693 | + | 3.15627i | 0.424064 | + | 0.206332i | ||||
\(235\) | −13.0325 | − | 10.8117i | −0.850145 | − | 0.705278i | ||||
\(236\) | 21.7345 | − | 6.95653i | 1.41479 | − | 0.452832i | ||||
\(237\) | −5.49023 | + | 11.8223i | −0.356629 | + | 0.767944i | ||||
\(238\) | −8.11753 | − | 5.92502i | −0.526181 | − | 0.384062i | ||||
\(239\) | 9.47158 | − | 16.4053i | 0.612666 | − | 1.06117i | −0.378123 | − | 0.925755i | \(-0.623430\pi\) |
0.990789 | − | 0.135413i | \(-0.0432362\pi\) | |||||||
\(240\) | −7.53247 | + | 13.5374i | −0.486219 | + | 0.873837i | ||||
\(241\) | 11.0488 | + | 19.1370i | 0.711713 | + | 1.23272i | 0.964214 | + | 0.265127i | \(0.0854139\pi\) |
−0.252500 | + | 0.967597i | \(0.581253\pi\) | |||||||
\(242\) | 1.40717 | − | 13.1112i | 0.0904563 | − | 0.842819i | ||||
\(243\) | −15.5393 | − | 1.23645i | −0.996849 | − | 0.0793182i | ||||
\(244\) | −6.49527 | + | 29.9110i | −0.415817 | + | 1.91486i | ||||
\(245\) | −10.8576 | − | 1.85183i | −0.693666 | − | 0.118309i | ||||
\(246\) | 8.71585 | − | 4.82417i | 0.555702 | − | 0.307578i | ||||
\(247\) | 1.43376 | − | 2.48334i | 0.0912277 | − | 0.158011i | ||||
\(248\) | 5.65570 | − | 5.02532i | 0.359137 | − | 0.319108i | ||||
\(249\) | 23.0195 | + | 10.6901i | 1.45880 | + | 0.677459i | ||||
\(250\) | −15.7472 | − | 1.42283i | −0.995943 | − | 0.0899876i | ||||
\(251\) | − | 15.5626i | − | 0.982300i | −0.871075 | − | 0.491150i | \(-0.836577\pi\) | ||
0.871075 | − | 0.491150i | \(-0.163423\pi\) | |||||||
\(252\) | −4.58833 | + | 7.32251i | −0.289038 | + | 0.461275i | ||||
\(253\) | −0.521813 | −0.0328061 | ||||||||
\(254\) | −17.6826 | + | 7.82630i | −1.10950 | + | 0.491065i | ||||
\(255\) | 15.7324 | + | 10.8485i | 0.985199 | + | 0.679361i | ||||
\(256\) | −15.7064 | + | 3.05104i | −0.981650 | + | 0.190690i | ||||
\(257\) | −4.28852 | + | 7.42793i | −0.267510 | + | 0.463342i | −0.968218 | − | 0.250107i | \(-0.919534\pi\) |
0.700708 | + | 0.713448i | \(0.252868\pi\) | |||||||
\(258\) | −0.354114 | + | 19.5869i | −0.0220462 | + | 1.21943i | ||||
\(259\) | −6.90766 | − | 11.9644i | −0.429221 | − | 0.743433i | ||||
\(260\) | −5.98658 | + | 4.68889i | −0.371272 | + | 0.290793i | ||||
\(261\) | −1.96511 | + | 0.352880i | −0.121637 | + | 0.0218427i | ||||
\(262\) | −21.4459 | − | 2.30170i | −1.32493 | − | 0.142199i | ||||
\(263\) | −12.1653 | + | 7.02363i | −0.750143 | + | 0.433096i | −0.825746 | − | 0.564043i | \(-0.809245\pi\) |
0.0756023 | + | 0.997138i | \(0.475912\pi\) | |||||||
\(264\) | −4.61631 | − | 4.34828i | −0.284114 | − | 0.267618i | ||||
\(265\) | −18.0037 | + | 6.66727i | −1.10596 | + | 0.409567i | ||||
\(266\) | 2.77440 | + | 2.02504i | 0.170109 | + | 0.124163i | ||||
\(267\) | −8.04924 | − | 11.4571i | −0.492606 | − | 0.701164i | ||||
\(268\) | 25.1613 | − | 8.05335i | 1.53697 | − | 0.491937i | ||||
\(269\) | −19.0558 | −1.16185 | −0.580927 | − | 0.813956i | \(-0.697310\pi\) | ||||
−0.580927 | + | 0.813956i | \(0.697310\pi\) | |||||||
\(270\) | 8.34823 | − | 14.1530i | 0.508057 | − | 0.861323i | ||||
\(271\) | − | 16.0945i | − | 0.977668i | −0.872377 | − | 0.488834i | \(-0.837422\pi\) | ||
0.872377 | − | 0.488834i | \(-0.162578\pi\) | |||||||
\(272\) | 1.89051 | + | 19.6461i | 0.114629 | + | 1.19122i | ||||
\(273\) | −3.47069 | + | 2.43835i | −0.210056 | + | 0.147575i | ||||
\(274\) | 12.0316 | + | 8.78191i | 0.726855 | + | 0.530534i | ||||
\(275\) | 2.14545 | − | 6.10661i | 0.129375 | − | 0.368242i | ||||
\(276\) | 0.843501 | − | 1.11282i | 0.0507728 | − | 0.0669838i | ||||
\(277\) | −11.0323 | − | 19.1084i | −0.662864 | − | 1.14811i | −0.979860 | − | 0.199687i | \(-0.936007\pi\) |
0.316996 | − | 0.948427i | \(-0.397326\pi\) | |||||||
\(278\) | −1.88765 | + | 17.5880i | −0.113214 | + | 1.05486i | ||||
\(279\) | −6.13102 | + | 5.17749i | −0.367055 | + | 0.309968i | ||||
\(280\) | −4.81925 | − | 7.72940i | −0.288006 | − | 0.461920i | ||||
\(281\) | −4.34217 | + | 2.50695i | −0.259032 | + | 0.149552i | −0.623893 | − | 0.781510i | \(-0.714450\pi\) |
0.364861 | + | 0.931062i | \(0.381117\pi\) | |||||||
\(282\) | −0.335304 | + | 18.5465i | −0.0199671 | + | 1.10443i | ||||
\(283\) | −3.48203 | − | 2.01035i | −0.206985 | − | 0.119503i | 0.392924 | − | 0.919571i | \(-0.371463\pi\) |
−0.599909 | + | 0.800068i | \(0.704797\pi\) | |||||||
\(284\) | 12.5581 | − | 13.8245i | 0.745186 | − | 0.820335i | ||||
\(285\) | −5.37698 | − | 3.70779i | −0.318505 | − | 0.219631i | ||||
\(286\) | −1.25987 | − | 2.84652i | −0.0744976 | − | 0.168318i | ||||
\(287\) | 5.85723i | 0.345742i | ||||||||
\(288\) | 16.7353 | − | 2.81582i | 0.986139 | − | 0.165924i | ||||
\(289\) | 7.34653 | 0.432149 | ||||||||
\(290\) | 0.573197 | − | 2.02498i | 0.0336593 | − | 0.118911i | ||||
\(291\) | −5.52503 | + | 11.8973i | −0.323883 | + | 0.697432i | ||||
\(292\) | −1.14232 | − | 1.03767i | −0.0668490 | − | 0.0607250i | ||||
\(293\) | −4.92418 | − | 2.84297i | −0.287673 | − | 0.166088i | 0.349219 | − | 0.937041i | \(-0.386447\pi\) |
−0.636892 | + | 0.770953i | \(0.719780\pi\) | |||||||
\(294\) | 5.84296 | + | 10.5565i | 0.340768 | + | 0.615667i | ||||
\(295\) | 4.28966 | − | 25.1510i | 0.249754 | − | 1.46435i | ||||
\(296\) | −8.55406 | + | 25.7480i | −0.497195 | + | 1.49657i | ||||
\(297\) | 4.77871 | + | 4.73382i | 0.277289 | + | 0.274684i | ||||
\(298\) | −0.771132 | + | 7.18496i | −0.0446705 | + | 0.416214i | ||||
\(299\) | 0.593586 | − | 0.342707i | 0.0343280 | − | 0.0198193i | ||||
\(300\) | 9.55488 | + | 14.4466i | 0.551651 | + | 0.834075i | ||||
\(301\) | −9.97517 | − | 5.75916i | −0.574959 | − | 0.331953i | ||||
\(302\) | 4.34320 | − | 5.95037i | 0.249923 | − | 0.342406i | ||||
\(303\) | 21.8821 | + | 10.1619i | 1.25709 | + | 0.583786i | ||||
\(304\) | −0.646134 | − | 6.71462i | −0.0370583 | − | 0.385110i | ||||
\(305\) | 26.3376 | + | 21.8496i | 1.50809 | + | 1.25110i | ||||
\(306\) | −1.48011 | − | 20.8817i | −0.0846123 | − | 1.19373i | ||||
\(307\) | 15.0989i | 0.861740i | 0.902414 | + | 0.430870i | \(0.141793\pi\) | ||||
−0.902414 | + | 0.430870i | \(0.858207\pi\) | |||||||
\(308\) | 3.55127 | − | 1.13665i | 0.202352 | − | 0.0647667i | ||||
\(309\) | 1.62786 | + | 18.2754i | 0.0926059 | + | 1.03965i | ||||
\(310\) | −2.07430 | − | 8.20050i | −0.117812 | − | 0.465757i | ||||
\(311\) | −10.2126 | + | 17.6888i | −0.579104 | + | 1.00304i | 0.416478 | + | 0.909146i | \(0.363264\pi\) |
−0.995582 | + | 0.0938918i | \(0.970069\pi\) | |||||||
\(312\) | 8.10705 | + | 1.91455i | 0.458971 | + | 0.108390i | ||||
\(313\) | −11.5310 | + | 6.65741i | −0.651769 | + | 0.376299i | −0.789134 | − | 0.614221i | \(-0.789470\pi\) |
0.137364 | + | 0.990521i | \(0.456137\pi\) | |||||||
\(314\) | 2.80495 | − | 26.1349i | 0.158293 | − | 1.47488i | ||||
\(315\) | 4.90364 | + | 8.32432i | 0.276289 | + | 0.469022i | ||||
\(316\) | −3.19403 | + | 14.7087i | −0.179678 | + | 0.827428i | ||||
\(317\) | −7.13259 | + | 4.11800i | −0.400606 | + | 0.231290i | −0.686745 | − | 0.726898i | \(-0.740961\pi\) |
0.286139 | + | 0.958188i | \(0.407628\pi\) | |||||||
\(318\) | 18.0203 | + | 10.8430i | 1.01053 | + | 0.608046i | ||||
\(319\) | 0.746091 | + | 0.430756i | 0.0417731 | + | 0.0241177i | ||||
\(320\) | −5.06092 | + | 17.1577i | −0.282914 | + | 0.959145i | ||||
\(321\) | −17.3617 | + | 12.1975i | −0.969034 | + | 0.680799i | ||||
\(322\) | 0.332290 | + | 0.750771i | 0.0185178 | + | 0.0418388i | ||||
\(323\) | −8.32112 | −0.462999 | ||||||||
\(324\) | −17.8200 | + | 2.53895i | −0.990002 | + | 0.141053i | ||||
\(325\) | 1.57004 | + | 8.35560i | 0.0870904 | + | 0.463485i | ||||
\(326\) | 6.00005 | + | 13.5564i | 0.332312 | + | 0.750820i | ||||
\(327\) | −9.71337 | − | 13.8258i | −0.537151 | − | 0.764568i | ||||
\(328\) | 8.59891 | − | 7.64048i | 0.474795 | − | 0.421875i | ||||
\(329\) | −9.44531 | − | 5.45325i | −0.520737 | − | 0.300647i | ||||
\(330\) | −6.69243 | + | 2.34172i | −0.368406 | + | 0.128908i | ||||
\(331\) | −9.75145 | − | 16.8900i | −0.535988 | − | 0.928359i | −0.999115 | − | 0.0420665i | \(-0.986606\pi\) |
0.463127 | − | 0.886292i | \(-0.346727\pi\) | |||||||
\(332\) | 28.6395 | + | 6.21916i | 1.57180 | + | 0.341321i | ||||
\(333\) | 9.75740 | − | 27.0729i | 0.534702 | − | 1.48359i | ||||
\(334\) | 7.72608 | + | 0.829208i | 0.422752 | + | 0.0453722i | ||||
\(335\) | 4.96600 | − | 29.1165i | 0.271322 | − | 1.59081i | ||||
\(336\) | −3.31653 | + | 9.41081i | −0.180932 | + | 0.513402i | ||||
\(337\) | 23.2713 | + | 13.4357i | 1.26767 | + | 0.731889i | 0.974546 | − | 0.224186i | \(-0.0719723\pi\) |
0.293122 | + | 0.956075i | \(0.405306\pi\) | |||||||
\(338\) | −11.5472 | − | 8.42833i | −0.628084 | − | 0.458441i | ||||
\(339\) | −1.28672 | − | 14.4455i | −0.0698848 | − | 0.784571i | ||||
\(340\) | 20.4697 | + | 8.24152i | 1.11012 | + | 0.446959i | ||||
\(341\) | 3.46267 | 0.187514 | ||||||||
\(342\) | 0.505870 | + | 7.13692i | 0.0273543 | + | 0.385921i | ||||
\(343\) | −17.1757 | −0.927400 | ||||||||
\(344\) | 4.55719 | + | 22.1569i | 0.245707 | + | 1.19462i | ||||
\(345\) | −0.669924 | − | 1.41015i | −0.0360675 | − | 0.0759200i | ||||
\(346\) | −9.39221 | + | 12.8677i | −0.504928 | + | 0.691773i | ||||
\(347\) | −11.3584 | + | 19.6733i | −0.609751 | + | 1.05612i | 0.381531 | + | 0.924356i | \(0.375397\pi\) |
−0.991281 | + | 0.131763i | \(0.957936\pi\) | |||||||
\(348\) | −2.12467 | + | 0.894805i | −0.113894 | + | 0.0479666i | ||||
\(349\) | 18.5560 | − | 10.7133i | 0.993282 | − | 0.573472i | 0.0870282 | − | 0.996206i | \(-0.472263\pi\) |
0.906254 | + | 0.422734i | \(0.138930\pi\) | |||||||
\(350\) | −10.1522 | + | 0.801872i | −0.542660 | + | 0.0428619i | ||||
\(351\) | −8.54499 | − | 2.24646i | −0.456098 | − | 0.119907i | ||||
\(352\) | −6.30116 | − | 3.73085i | −0.335853 | − | 0.198855i | ||||
\(353\) | −8.51588 | − | 14.7499i | −0.453254 | − | 0.785060i | 0.545332 | − | 0.838220i | \(-0.316404\pi\) |
−0.998586 | + | 0.0531608i | \(0.983070\pi\) | |||||||
\(354\) | −24.4536 | + | 13.5349i | −1.29969 | + | 0.719372i | ||||
\(355\) | −7.25165 | − | 19.5817i | −0.384878 | − | 1.03929i | ||||
\(356\) | −11.9676 | − | 10.8713i | −0.634281 | − | 0.576176i | ||||
\(357\) | 11.1635 | + | 5.18426i | 0.590835 | + | 0.274380i | ||||
\(358\) | 11.2117 | + | 25.3314i | 0.592555 | + | 1.33881i | ||||
\(359\) | 14.1730 | 0.748022 | 0.374011 | − | 0.927424i | \(-0.377982\pi\) | ||||
0.374011 | + | 0.927424i | \(0.377982\pi\) | |||||||
\(360\) | 5.82423 | − | 18.0576i | 0.306964 | − | 0.951721i | ||||
\(361\) | −16.1560 | −0.850317 | ||||||||
\(362\) | 1.64595 | + | 3.71884i | 0.0865094 | + | 0.195458i | ||||
\(363\) | 1.43288 | + | 16.0864i | 0.0752066 | + | 0.844317i | ||||
\(364\) | −3.29322 | + | 3.62533i | −0.172611 | + | 0.190019i | ||||
\(365\) | −1.61803 | + | 0.599201i | −0.0846914 | + | 0.0313636i | ||||
\(366\) | 0.677623 | − | 37.4811i | 0.0354199 | − | 1.95917i | ||||
\(367\) | −10.0153 | − | 17.3469i | −0.522792 | − | 0.905502i | −0.999648 | − | 0.0265211i | \(-0.991557\pi\) |
0.476856 | − | 0.878981i | \(-0.341776\pi\) | |||||||
\(368\) | 0.668738 | − | 1.46718i | 0.0348604 | − | 0.0764818i | ||||
\(369\) | −9.32159 | + | 7.87185i | −0.485263 | + | 0.409792i | ||||
\(370\) | 21.1461 | + | 21.7488i | 1.09934 | + | 1.13066i | ||||
\(371\) | −10.7088 | + | 6.18275i | −0.555975 | + | 0.320993i | ||||
\(372\) | −5.59734 | + | 7.38450i | −0.290209 | + | 0.382868i | ||||
\(373\) | 18.3789 | − | 31.8331i | 0.951621 | − | 1.64826i | 0.209703 | − | 0.977765i | \(-0.432750\pi\) |
0.741918 | − | 0.670491i | \(-0.233917\pi\) | |||||||
\(374\) | −5.32557 | + | 7.29626i | −0.275379 | + | 0.377281i | ||||
\(375\) | 19.2569 | − | 2.04203i | 0.994425 | − | 0.105450i | ||||
\(376\) | 4.31513 | + | 20.9800i | 0.222536 | + | 1.08196i | ||||
\(377\) | −1.13162 | −0.0582812 | ||||||||
\(378\) | 3.76781 | − | 9.88997i | 0.193795 | − | 0.508685i | ||||
\(379\) | 5.83741 | 0.299848 | 0.149924 | − | 0.988698i | \(-0.452097\pi\) | ||||
0.149924 | + | 0.988698i | \(0.452097\pi\) | |||||||
\(380\) | −6.99609 | − | 2.81677i | −0.358892 | − | 0.144497i | ||||
\(381\) | 19.3786 | − | 13.6145i | 0.992797 | − | 0.697494i | ||||
\(382\) | −5.79308 | − | 4.22840i | −0.296400 | − | 0.216344i | ||||
\(383\) | 13.2482 | + | 7.64888i | 0.676954 | + | 0.390840i | 0.798706 | − | 0.601721i | \(-0.205518\pi\) |
−0.121752 | + | 0.992560i | \(0.538851\pi\) | |||||||
\(384\) | 18.1421 | − | 7.40700i | 0.925811 | − | 0.377987i | ||||
\(385\) | 0.700902 | − | 4.10951i | 0.0357213 | − | 0.209440i | ||||
\(386\) | 26.5554 | + | 2.85008i | 1.35163 | + | 0.145065i | ||||
\(387\) | −4.24064 | − | 23.6152i | −0.215564 | − | 1.20043i | ||||
\(388\) | −3.21428 | + | 14.8019i | −0.163180 | + | 0.751454i | ||||
\(389\) | −19.4180 | − | 33.6329i | −0.984531 | − | 1.70526i | −0.644003 | − | 0.765023i | \(-0.722728\pi\) |
−0.340528 | − | 0.940234i | \(-0.610606\pi\) | |||||||
\(390\) | 6.07499 | − | 7.05915i | 0.307619 | − | 0.357454i | ||||
\(391\) | −1.72250 | − | 0.994488i | −0.0871108 | − | 0.0502934i | ||||
\(392\) | 9.25403 | + | 10.4149i | 0.467399 | + | 0.526030i | ||||
\(393\) | 26.3124 | − | 2.34375i | 1.32728 | − | 0.118226i | ||||
\(394\) | −2.84675 | − | 6.43190i | −0.143417 | − | 0.324035i | ||||
\(395\) | 12.9514 | + | 10.7445i | 0.651658 | + | 0.540614i | ||||
\(396\) | 6.58168 | + | 4.12412i | 0.330742 | + | 0.207245i | ||||
\(397\) | 8.80821 | 0.442071 | 0.221036 | − | 0.975266i | \(-0.429056\pi\) | ||||
0.221036 | + | 0.975266i | \(0.429056\pi\) | |||||||
\(398\) | −7.15209 | − | 16.1593i | −0.358502 | − | 0.809992i | ||||
\(399\) | −3.81544 | − | 1.77187i | −0.191011 | − | 0.0887044i | ||||
\(400\) | 14.4203 | + | 13.8583i | 0.721017 | + | 0.692917i | ||||
\(401\) | 0.226043 | + | 0.130506i | 0.0112880 | + | 0.00651715i | 0.505633 | − | 0.862748i | \(-0.331259\pi\) |
−0.494345 | + | 0.869266i | \(0.664592\pi\) | |||||||
\(402\) | −28.3091 | + | 15.6689i | −1.41193 | + | 0.781494i | ||||
\(403\) | −3.93895 | + | 2.27415i | −0.196213 | + | 0.113284i | ||||
\(404\) | 27.2244 | + | 5.91187i | 1.35447 | + | 0.294126i | ||||
\(405\) | −6.65761 | + | 18.9915i | −0.330819 | + | 0.943694i | ||||
\(406\) | 0.144649 | − | 1.34776i | 0.00717883 | − | 0.0668882i | ||||
\(407\) | −10.7540 | + | 6.20880i | −0.533054 | + | 0.307759i | ||||
\(408\) | −6.95132 | − | 23.1516i | −0.344142 | − | 1.14617i | ||||
\(409\) | −3.79839 | + | 6.57901i | −0.187818 | + | 0.325311i | −0.944523 | − | 0.328446i | \(-0.893475\pi\) |
0.756704 | + | 0.653757i | \(0.226808\pi\) | |||||||
\(410\) | −3.15377 | − | 12.4680i | −0.155753 | − | 0.615752i | ||||
\(411\) | −16.5462 | − | 7.68397i | −0.816166 | − | 0.379022i | ||||
\(412\) | 6.45830 | + | 20.1778i | 0.318178 | + | 0.994090i | ||||
\(413\) | − | 16.4333i | − | 0.808630i | ||||||
\(414\) | −0.748244 | + | 1.53783i | −0.0367742 | + | 0.0755802i | ||||
\(415\) | 20.9208 | − | 25.2180i | 1.02696 | − | 1.23790i | ||||
\(416\) | 9.61814 | + | 0.105650i | 0.471568 | + | 0.00517991i | ||||
\(417\) | −1.92214 | − | 21.5791i | −0.0941274 | − | 1.05673i | ||||
\(418\) | 1.82017 | − | 2.49370i | 0.0890272 | − | 0.121971i | ||||
\(419\) | 9.05875 | + | 5.23007i | 0.442549 | + | 0.255506i | 0.704678 | − | 0.709527i | \(-0.251091\pi\) |
−0.262129 | + | 0.965033i | \(0.584425\pi\) | |||||||
\(420\) | 7.63095 | + | 8.13769i | 0.372352 | + | 0.397078i | ||||
\(421\) | 7.24532 | − | 4.18309i | 0.353115 | − | 0.203871i | −0.312941 | − | 0.949773i | \(-0.601314\pi\) |
0.666057 | + | 0.745901i | \(0.267981\pi\) | |||||||
\(422\) | 0.649667 | − | 6.05322i | 0.0316253 | − | 0.294666i | ||||
\(423\) | −4.01539 | − | 22.3608i | −0.195235 | − | 1.08722i | ||||
\(424\) | 23.0460 | + | 7.65637i | 1.11921 | + | 0.371826i | ||||
\(425\) | 18.7203 | − | 16.0690i | 0.908067 | − | 0.779463i | ||||
\(426\) | −11.7934 | + | 19.5998i | −0.571391 | + | 0.949612i | ||||
\(427\) | 19.0882 | + | 11.0206i | 0.923743 | + | 0.533324i | ||||
\(428\) | −16.4739 | + | 18.1352i | −0.796296 | + | 0.876600i | ||||
\(429\) | 2.19165 | + | 3.11955i | 0.105814 | + | 0.150613i | ||||
\(430\) | 24.3346 | + | 6.88825i | 1.17352 | + | 0.332181i | ||||
\(431\) | −38.9577 | −1.87653 | −0.938264 | − | 0.345920i | \(-0.887567\pi\) | ||||
−0.938264 | + | 0.345920i | \(0.887567\pi\) | |||||||
\(432\) | −19.4342 | + | 7.36953i | −0.935031 | + | 0.354567i | ||||
\(433\) | − | 5.76801i | − | 0.277193i | −0.990349 | − | 0.138596i | \(-0.955741\pi\) | ||
0.990349 | − | 0.138596i | \(-0.0442591\pi\) | |||||||
\(434\) | −2.20503 | − | 4.98200i | −0.105845 | − | 0.239144i | ||||
\(435\) | −0.206216 | + | 2.56926i | −0.00988731 | + | 0.123187i | ||||
\(436\) | −14.4418 | − | 13.1188i | −0.691637 | − | 0.628277i | ||||
\(437\) | 0.588714 | + | 0.339894i | 0.0281620 | + | 0.0162594i | ||||
\(438\) | 1.61952 | + | 0.974482i | 0.0773837 | + | 0.0465626i | ||||
\(439\) | −20.3287 | + | 11.7368i | −0.970234 | + | 0.560165i | −0.899307 | − | 0.437317i | \(-0.855929\pi\) |
−0.0709263 | + | 0.997482i | \(0.522595\pi\) | |||||||
\(440\) | −6.94740 | + | 4.33168i | −0.331204 | + | 0.206505i | ||||
\(441\) | −9.53425 | − | 11.2902i | −0.454012 | − | 0.537627i | ||||
\(442\) | 1.26617 | − | 11.7975i | 0.0602257 | − | 0.561148i | ||||
\(443\) | −1.57678 | − | 2.73107i | −0.0749152 | − | 0.129757i | 0.826134 | − | 0.563473i | \(-0.190535\pi\) |
−0.901049 | + | 0.433716i | \(0.857202\pi\) | |||||||
\(444\) | 4.14267 | − | 32.9703i | 0.196603 | − | 1.56470i | ||||
\(445\) | −16.9514 | + | 6.27759i | −0.803576 | + | 0.297586i | ||||
\(446\) | −10.1858 | − | 7.43467i | −0.482312 | − | 0.352042i | ||||
\(447\) | −0.785220 | − | 8.81538i | −0.0371396 | − | 0.416953i | ||||
\(448\) | −1.35527 | + | 11.4417i | −0.0640306 | + | 0.540571i | ||||
\(449\) | 29.5447i | 1.39430i | 0.716926 | + | 0.697150i | \(0.245549\pi\) | ||||
−0.716926 | + | 0.697150i | \(0.754451\pi\) | |||||||
\(450\) | −14.9203 | − | 15.0793i | −0.703350 | − | 0.710844i | ||||
\(451\) | 5.26464 | 0.247902 | ||||||||
\(452\) | −5.10485 | − | 15.9492i | −0.240112 | − | 0.750188i | ||||
\(453\) | −3.80021 | + | 8.18315i | −0.178549 | + | 0.384478i | ||||
\(454\) | −10.7183 | − | 7.82336i | −0.503036 | − | 0.367168i | ||||
\(455\) | 1.90166 | + | 5.13508i | 0.0891513 | + | 0.240736i | ||||
\(456\) | 2.37581 | + | 7.91271i | 0.111258 | + | 0.370547i | ||||
\(457\) | 6.29971 | − | 3.63714i | 0.294688 | − | 0.170138i | −0.345366 | − | 0.938468i | \(-0.612245\pi\) |
0.640054 | + | 0.768330i | \(0.278912\pi\) | |||||||
\(458\) | −25.9456 | − | 2.78464i | −1.21236 | − | 0.130118i | ||||
\(459\) | 6.75264 | + | 24.7337i | 0.315186 | + | 1.15447i | ||||
\(460\) | −1.11158 | − | 1.41921i | −0.0518275 | − | 0.0661711i | ||||
\(461\) | 7.09711 | + | 12.2925i | 0.330545 | + | 0.572521i | 0.982619 | − | 0.185635i | \(-0.0594341\pi\) |
−0.652074 | + | 0.758156i | \(0.726101\pi\) | |||||||
\(462\) | −3.99555 | + | 2.21151i | −0.185890 | + | 0.102889i | ||||
\(463\) | −2.73715 | + | 4.74088i | −0.127206 | + | 0.220327i | −0.922593 | − | 0.385774i | \(-0.873934\pi\) |
0.795387 | + | 0.606102i | \(0.207268\pi\) | |||||||
\(464\) | −2.16731 | + | 1.54573i | −0.100615 | + | 0.0717588i | ||||
\(465\) | 4.44552 | + | 9.35755i | 0.206156 | + | 0.433946i | ||||
\(466\) | −22.6746 | + | 10.0357i | −1.05038 | + | 0.464897i | ||||
\(467\) | −38.1802 | −1.76677 | −0.883384 | − | 0.468650i | \(-0.844740\pi\) | ||||
−0.883384 | + | 0.468650i | \(0.844740\pi\) | |||||||
\(468\) | −10.1955 | − | 0.368772i | −0.471288 | − | 0.0170465i | ||||
\(469\) | − | 19.0243i | − | 0.878461i | ||||||
\(470\) | 23.0420 | + | 6.52236i | 1.06285 | + | 0.300854i | ||||
\(471\) | 2.85620 | + | 32.0655i | 0.131607 | + | 1.47750i | ||||
\(472\) | −24.1255 | + | 21.4365i | −1.11046 | + | 0.986693i | ||||
\(473\) | −5.17650 | + | 8.96595i | −0.238016 | + | 0.412255i | ||||
\(474\) | 0.333220 | − | 18.4312i | 0.0153053 | − | 0.846574i | ||||
\(475\) | −6.39819 | + | 5.49205i | −0.293569 | + | 0.251992i | ||||
\(476\) | 13.8890 | + | 3.01603i | 0.636601 | + | 0.138240i | ||||
\(477\) | −24.2318 | − | 8.73343i | −1.10950 | − | 0.399876i | ||||
\(478\) | −2.85881 | + | 26.6367i | −0.130759 | + | 1.21833i | ||||
\(479\) | 4.80208 | + | 8.31745i | 0.219413 | + | 0.380034i | 0.954629 | − | 0.297799i | \(-0.0962525\pi\) |
−0.735216 | + | 0.677833i | \(0.762919\pi\) | |||||||
\(480\) | 1.99260 | − | 21.8181i | 0.0909493 | − | 0.995856i | ||||
\(481\) | 8.15541 | − | 14.1256i | 0.371854 | − | 0.644071i | ||||
\(482\) | −25.2419 | − | 18.4242i | −1.14974 | − | 0.839197i | ||||
\(483\) | −0.578049 | − | 0.822782i | −0.0263021 | − | 0.0374379i | ||||
\(484\) | 5.68473 | + | 17.7609i | 0.258397 | + | 0.807315i | ||||
\(485\) | 13.0336 | + | 10.8126i | 0.591823 | + | 0.490975i | ||||
\(486\) | 20.8033 | − | 7.29531i | 0.943658 | − | 0.330922i | ||||
\(487\) | −23.1501 | −1.04903 | −0.524516 | − | 0.851400i | \(-0.675754\pi\) | ||||
−0.524516 | + | 0.851400i | \(0.675754\pi\) | |||||||
\(488\) | −8.72053 | − | 42.3989i | −0.394760 | − | 1.91931i | ||||
\(489\) | −10.4376 | − | 14.8567i | −0.472006 | − | 0.671842i | ||||
\(490\) | 15.1011 | − | 3.81979i | 0.682197 | − | 0.172560i | ||||
\(491\) | 20.1020 | + | 11.6059i | 0.907189 | + | 0.523766i | 0.879526 | − | 0.475852i | \(-0.157860\pi\) |
0.0276631 | + | 0.999617i | \(0.491193\pi\) | |||||||
\(492\) | −8.51019 | + | 11.2274i | −0.383669 | + | 0.506169i | ||||
\(493\) | 1.64190 | + | 2.84385i | 0.0739473 | + | 0.128080i | ||||
\(494\) | −0.432750 | + | 4.03212i | −0.0194704 | + | 0.181414i | ||||
\(495\) | 7.48213 | − | 4.40753i | 0.336297 | − | 0.198104i | ||||
\(496\) | −4.43764 | + | 9.73595i | −0.199256 | + | 0.437157i | ||||
\(497\) | −6.72466 | − | 11.6475i | −0.301642 | − | 0.522460i | ||||
\(498\) | −35.8878 | − | 0.648818i | −1.60817 | − | 0.0290742i | ||||
\(499\) | −3.32411 | + | 5.75753i | −0.148808 | + | 0.257742i | −0.930787 | − | 0.365562i | \(-0.880877\pi\) |
0.781979 | + | 0.623304i | \(0.214210\pi\) | |||||||
\(500\) | 21.1789 | − | 7.17328i | 0.947147 | − | 0.320799i | ||||
\(501\) | −9.47929 | + | 0.844357i | −0.423503 | + | 0.0377231i | ||||
\(502\) | 8.90758 | + | 20.1256i | 0.397565 | + | 0.898251i | ||||
\(503\) | 31.3451i | 1.39761i | 0.715313 | + | 0.698804i | \(0.246284\pi\) | ||||
−0.715313 | + | 0.698804i | \(0.753716\pi\) | |||||||
\(504\) | 1.74246 | − | 12.0958i | 0.0776152 | − | 0.538789i | ||||
\(505\) | 19.8871 | − | 23.9719i | 0.884963 | − | 1.06674i | ||||
\(506\) | 0.674813 | − | 0.298672i | 0.0299991 | − | 0.0132776i | ||||
\(507\) | 15.8801 | + | 7.37460i | 0.705258 | + | 0.327518i | ||||
\(508\) | 18.3877 | − | 20.2421i | 0.815823 | − | 0.898097i | ||||
\(509\) | −13.2490 | + | 22.9479i | −0.587249 | + | 1.01715i | 0.407341 | + | 0.913276i | \(0.366456\pi\) |
−0.994591 | + | 0.103870i | \(0.966877\pi\) | |||||||
\(510\) | −26.5546 | − | 5.02463i | −1.17586 | − | 0.222494i | ||||
\(511\) | −0.962424 | + | 0.555656i | −0.0425751 | + | 0.0245808i | ||||
\(512\) | 18.5653 | − | 12.9356i | 0.820479 | − | 0.571676i | ||||
\(513\) | −2.30791 | − | 8.45346i | −0.101897 | − | 0.373229i | ||||
\(514\) | 1.29440 | − | 12.0605i | 0.0570937 | − | 0.531966i | ||||
\(515\) | 23.3497 | + | 3.98243i | 1.02891 | + | 0.175487i | ||||
\(516\) | −10.7531 | − | 25.5327i | −0.473378 | − | 1.12401i | ||||
\(517\) | −4.90153 | + | 8.48970i | −0.215569 | + | 0.373377i | ||||
\(518\) | 15.7812 | + | 11.5187i | 0.693384 | + | 0.506104i | ||||
\(519\) | 8.21797 | − | 17.6961i | 0.360729 | − | 0.776774i | ||||
\(520\) | 5.05810 | − | 9.49027i | 0.221812 | − | 0.416176i | ||||
\(521\) | 5.83234i | 0.255519i | 0.991805 | + | 0.127760i | \(0.0407786\pi\) | ||||
−0.991805 | + | 0.127760i | \(0.959221\pi\) | |||||||
\(522\) | 2.33932 | − | 1.58112i | 0.102389 | − | 0.0692038i | ||||
\(523\) | 19.9315i | 0.871545i | 0.900057 | + | 0.435772i | \(0.143525\pi\) | ||||
−0.900057 | + | 0.435772i | \(0.856475\pi\) | |||||||
\(524\) | 29.0514 | − | 9.29847i | 1.26912 | − | 0.406205i | ||||
\(525\) | 12.0054 | − | 3.38183i | 0.523959 | − | 0.147595i | ||||
\(526\) | 11.7121 | − | 16.0461i | 0.510673 | − | 0.699643i | ||||
\(527\) | 11.4303 | + | 6.59927i | 0.497911 | + | 0.287469i | ||||
\(528\) | 8.45869 | + | 2.98099i | 0.368117 | + | 0.129731i | ||||
\(529\) | −11.4188 | − | 19.7779i | −0.496468 | − | 0.859907i | ||||
\(530\) | 19.4664 | − | 18.9270i | 0.845566 | − | 0.822137i | ||||
\(531\) | 26.1531 | − | 22.0856i | 1.13495 | − | 0.958433i | ||||
\(532\) | −4.74695 | − | 1.03082i | −0.205807 | − | 0.0446915i | ||||
\(533\) | −5.98877 | + | 3.45762i | −0.259402 | + | 0.149766i | ||||
\(534\) | 16.9671 | + | 10.2093i | 0.734238 | + | 0.441798i | ||||
\(535\) | 9.51282 | + | 25.6876i | 0.411275 | + | 1.11057i | ||||
\(536\) | −27.9293 | + | 24.8163i | −1.20636 | + | 1.07190i | ||||
\(537\) | −19.5037 | − | 27.7611i | −0.841647 | − | 1.19798i | ||||
\(538\) | 24.6432 | − | 10.9070i | 1.06244 | − | 0.470236i | ||||
\(539\) | 6.37645i | 0.274653i | ||||||||
\(540\) | −2.69522 | + | 23.0811i | −0.115984 | + | 0.993251i | ||||
\(541\) | − | 4.42047i | − | 0.190051i | −0.995475 | − | 0.0950254i | \(-0.969707\pi\) | ||
0.995475 | − | 0.0950254i | \(-0.0302932\pi\) | |||||||
\(542\) | 9.21203 | + | 20.8135i | 0.395691 | + | 0.894016i | ||||
\(543\) | −2.86328 | − | 4.07553i | −0.122875 | − | 0.174898i | ||||
\(544\) | −13.6897 | − | 24.3245i | −0.586942 | − | 1.04290i | ||||
\(545\) | −20.4560 | + | 7.57544i | −0.876240 | + | 0.324496i | ||||
\(546\) | 3.09268 | − | 5.13982i | 0.132355 | − | 0.219964i | ||||
\(547\) | 3.64060 | − | 2.10190i | 0.155661 | − | 0.0898709i | −0.420146 | − | 0.907456i | \(-0.638021\pi\) |
0.575807 | + | 0.817586i | \(0.304688\pi\) | |||||||
\(548\) | −20.5859 | − | 4.47029i | −0.879385 | − | 0.190961i | ||||
\(549\) | 8.11478 | + | 45.1894i | 0.346330 | + | 1.92864i | ||||
\(550\) | 0.720745 | + | 9.12512i | 0.0307327 | + | 0.389096i | ||||
\(551\) | −0.561164 | − | 0.971965i | −0.0239064 | − | 0.0414071i | ||||
\(552\) | −0.453875 | + | 1.92190i | −0.0193182 | + | 0.0818017i | ||||
\(553\) | 9.38658 | + | 5.41935i | 0.399158 | + | 0.230454i | ||||
\(554\) | 25.2042 | + | 18.3966i | 1.07082 | + | 0.781598i | ||||
\(555\) | −30.5850 | − | 21.0904i | −1.29826 | − | 0.895240i | ||||
\(556\) | −7.62579 | − | 23.8254i | −0.323405 | − | 1.01042i | ||||
\(557\) | 16.2924i | 0.690329i | 0.938542 | + | 0.345165i | \(0.112177\pi\) | ||||
−0.938542 | + | 0.345165i | \(0.887823\pi\) | |||||||
\(558\) | 4.96523 | − | 10.2048i | 0.210195 | − | 0.432004i | ||||
\(559\) | − | 13.5989i | − | 0.575172i | ||||||
\(560\) | 10.6564 | + | 7.23732i | 0.450315 | + | 0.305833i | ||||
\(561\) | 4.65976 | − | 10.0341i | 0.196735 | − | 0.423638i | ||||
\(562\) | 4.18042 | − | 5.72735i | 0.176340 | − | 0.241594i | ||||
\(563\) | 16.8277 | − | 29.1464i | 0.709201 | − | 1.22837i | −0.255953 | − | 0.966689i | \(-0.582389\pi\) |
0.965154 | − | 0.261683i | \(-0.0842775\pi\) | |||||||
\(564\) | −10.1819 | − | 24.1764i | −0.428736 | − | 1.01801i | ||||
\(565\) | −18.4564 | − | 3.14785i | −0.776465 | − | 0.132431i | ||||
\(566\) | 5.65366 | + | 0.606783i | 0.237641 | + | 0.0255050i | ||||
\(567\) | −2.17046 | + | 12.7789i | −0.0911507 | + | 0.536665i | ||||
\(568\) | −8.32744 | + | 25.0659i | −0.349412 | + | 1.05174i | ||||
\(569\) | 10.4691 | − | 6.04437i | 0.438890 | − | 0.253393i | −0.264237 | − | 0.964458i | \(-0.585120\pi\) |
0.703126 | + | 0.711065i | \(0.251787\pi\) | |||||||
\(570\) | 9.07580 | + | 1.71731i | 0.380143 | + | 0.0719302i | ||||
\(571\) | −1.00363 | + | 1.73835i | −0.0420008 | + | 0.0727475i | −0.886262 | − | 0.463185i | \(-0.846707\pi\) |
0.844261 | + | 0.535933i | \(0.180040\pi\) | |||||||
\(572\) | 3.25855 | + | 2.96003i | 0.136247 | + | 0.123765i | ||||
\(573\) | 7.96684 | + | 3.69975i | 0.332819 | + | 0.154559i | ||||
\(574\) | −3.35252 | − | 7.57463i | −0.139932 | − | 0.316159i | ||||
\(575\) | −1.98083 | + | 0.372204i | −0.0826062 | + | 0.0155220i | ||||
\(576\) | −20.0306 | + | 13.2203i | −0.834607 | + | 0.550846i | ||||
\(577\) | 34.1098i | 1.42001i | 0.704197 | + | 0.710004i | \(0.251307\pi\) | ||||
−0.704197 | + | 0.710004i | \(0.748693\pi\) | |||||||
\(578\) | −9.50060 | + | 4.20495i | −0.395173 | + | 0.174903i | ||||
\(579\) | −32.5813 | + | 2.90214i | −1.35403 | + | 0.120609i | ||||
\(580\) | 0.417779 | + | 2.94680i | 0.0173473 | + | 0.122359i | ||||
\(581\) | 10.5521 | − | 18.2768i | 0.437775 | − | 0.758249i | ||||
\(582\) | 0.335332 | − | 18.5481i | 0.0139000 | − | 0.768842i | ||||
\(583\) | 5.55723 | + | 9.62540i | 0.230157 | + | 0.398644i | ||||
\(584\) | 2.07119 | + | 0.688093i | 0.0857063 | + | 0.0284735i | ||||
\(585\) | −5.61656 | + | 9.92774i | −0.232216 | + | 0.410462i | ||||
\(586\) | 7.99523 | + | 0.858094i | 0.330280 | + | 0.0354476i | ||||
\(587\) | −0.826055 | − | 1.43077i | −0.0340949 | − | 0.0590542i | 0.848474 | − | 0.529236i | \(-0.177522\pi\) |
−0.882569 | + | 0.470182i | \(0.844188\pi\) | |||||||
\(588\) | −13.5984 | − | 10.3074i | −0.560789 | − | 0.425070i | ||||
\(589\) | −3.90662 | − | 2.25549i | −0.160969 | − | 0.0929358i | ||||
\(590\) | 8.84834 | + | 34.9808i | 0.364280 | + | 1.44014i | ||||
\(591\) | 4.95218 | + | 7.04882i | 0.203706 | + | 0.289950i | ||||
\(592\) | −3.67530 | − | 38.1937i | −0.151054 | − | 1.56975i | ||||
\(593\) | 0.203957 | 0.00837549 | 0.00418775 | − | 0.999991i | \(-0.498667\pi\) | ||||
0.00418775 | + | 0.999991i | \(0.498667\pi\) | |||||||
\(594\) | −8.88938 | − | 3.38661i | −0.364736 | − | 0.138954i | ||||
\(595\) | 10.1457 | − | 12.2297i | 0.415934 | − | 0.501368i | ||||
\(596\) | −3.11524 | − | 9.73303i | −0.127605 | − | 0.398681i | ||||
\(597\) | 12.4417 | + | 17.7092i | 0.509205 | + | 0.724791i | ||||
\(598\) | −0.571475 | + | 0.782945i | −0.0233693 | + | 0.0320170i | ||||
\(599\) | −1.79395 | + | 3.10721i | −0.0732988 | + | 0.126957i | −0.900345 | − | 0.435176i | \(-0.856686\pi\) |
0.827046 | + | 0.562134i | \(0.190019\pi\) | |||||||
\(600\) | −20.6253 | − | 13.2135i | −0.842024 | − | 0.539440i | ||||
\(601\) | −8.03412 | − | 13.9155i | −0.327719 | − | 0.567625i | 0.654340 | − | 0.756200i | \(-0.272946\pi\) |
−0.982059 | + | 0.188575i | \(0.939613\pi\) | |||||||
\(602\) | 16.1964 | + | 1.73829i | 0.660114 | + | 0.0708473i | ||||
\(603\) | 30.2765 | − | 25.5678i | 1.23296 | − | 1.04120i | ||||
\(604\) | −2.21084 | + | 10.1810i | −0.0899577 | + | 0.414259i | ||||
\(605\) | 20.5529 | + | 3.50542i | 0.835593 | + | 0.142516i | ||||
\(606\) | −34.1145 | − | 0.616759i | −1.38581 | − | 0.0250541i | ||||
\(607\) | 5.43260 | − | 9.40953i | 0.220502 | − | 0.381921i | −0.734458 | − | 0.678654i | \(-0.762564\pi\) |
0.954961 | + | 0.296733i | \(0.0958970\pi\) | |||||||
\(608\) | 4.67885 | + | 8.31358i | 0.189753 | + | 0.337160i | ||||
\(609\) | 0.147292 | + | 1.65360i | 0.00596858 | + | 0.0670071i | ||||
\(610\) | −46.5661 | − | 13.1812i | −1.88541 | − | 0.533690i | ||||
\(611\) | − | 12.8766i | − | 0.520930i | ||||||
\(612\) | 13.8662 | + | 26.1573i | 0.560509 | + | 1.05734i | ||||
\(613\) | −18.2882 | −0.738653 | −0.369327 | − | 0.929300i | \(-0.620412\pi\) | ||||
−0.369327 | + | 0.929300i | \(0.620412\pi\) | |||||||
\(614\) | −8.64220 | − | 19.5260i | −0.348771 | − | 0.788007i | ||||
\(615\) | 6.75896 | + | 14.2272i | 0.272547 | + | 0.573696i | ||||
\(616\) | −3.94194 | + | 3.50258i | −0.158825 | + | 0.141123i | ||||
\(617\) | −20.1945 | + | 34.9780i | −0.813001 | + | 1.40816i | 0.0977528 | + | 0.995211i | \(0.468835\pi\) |
−0.910754 | + | 0.412949i | \(0.864499\pi\) | |||||||
\(618\) | −12.5655 | − | 22.7022i | −0.505459 | − | 0.913216i | ||||
\(619\) | 16.6512 | + | 28.8407i | 0.669268 | + | 1.15921i | 0.978109 | + | 0.208093i | \(0.0667257\pi\) |
−0.308841 | + | 0.951114i | \(0.599941\pi\) | |||||||
\(620\) | 7.37625 | + | 9.41768i | 0.296237 | + | 0.378223i | ||||
\(621\) | 0.532559 | − | 2.02573i | 0.0213709 | − | 0.0812896i | ||||
\(622\) | 3.08247 | − | 28.7207i | 0.123596 | − | 1.15159i | ||||
\(623\) | −10.0829 | + | 5.82139i | −0.403965 | + | 0.233229i | ||||
\(624\) | −11.5799 | + | 2.16434i | −0.463569 | + | 0.0866428i | ||||
\(625\) | 3.78844 | − | 24.7113i | 0.151537 | − | 0.988452i | ||||
\(626\) | 11.1014 | − | 15.2094i | 0.443703 | − | 0.607892i | ||||
\(627\) | −1.59260 | + | 3.42942i | −0.0636025 | + | 0.136958i | ||||
\(628\) | 11.3315 | + | 35.4034i | 0.452177 | + | 1.41275i | ||||
\(629\) | −47.3317 | −1.88724 | ||||||||
\(630\) | −11.1060 | − | 7.95837i | −0.442475 | − | 0.317069i | ||||
\(631\) | − | 9.01180i | − | 0.358754i | −0.983780 | − | 0.179377i | \(-0.942592\pi\) | ||
0.983780 | − | 0.179377i | \(-0.0574082\pi\) | |||||||
\(632\) | −4.28830 | − | 20.8496i | −0.170579 | − | 0.829352i | ||||
\(633\) | 0.661536 | + | 7.42682i | 0.0262937 | + | 0.295190i | ||||
\(634\) | 6.86689 | − | 9.40793i | 0.272719 | − | 0.373637i | ||||
\(635\) | −10.6180 | − | 28.6718i | −0.421361 | − | 1.13780i | ||||
\(636\) | −29.5103 | − | 3.70793i | −1.17016 | − | 0.147029i | ||||
\(637\) | −4.18781 | − | 7.25350i | −0.165927 | − | 0.287394i | ||||
\(638\) | −1.21140 | − | 0.130015i | −0.0479600 | − | 0.00514734i | ||||
\(639\) | 9.49891 | − | 26.3557i | 0.375771 | − | 1.04262i | ||||
\(640\) | −3.27578 | − | 25.0852i | −0.129486 | − | 0.991581i | ||||
\(641\) | 18.2096 | − | 10.5133i | 0.719235 | − | 0.415251i | −0.0952360 | − | 0.995455i | \(-0.530361\pi\) |
0.814471 | + | 0.580204i | \(0.197027\pi\) | |||||||
\(642\) | 15.4707 | − | 25.7113i | 0.610582 | − | 1.01474i | ||||
\(643\) | 4.89419 | + | 2.82566i | 0.193008 | + | 0.111433i | 0.593390 | − | 0.804915i | \(-0.297789\pi\) |
−0.400382 | + | 0.916348i | \(0.631123\pi\) | |||||||
\(644\) | −0.859442 | − | 0.780709i | −0.0338667 | − | 0.0307643i | ||||
\(645\) | −30.8754 | − | 2.47815i | −1.21572 | − | 0.0975771i | ||||
\(646\) | 10.7609 | − | 4.76278i | 0.423384 | − | 0.187389i | ||||
\(647\) | − | 2.55728i | − | 0.100537i | −0.998736 | − | 0.0502685i | \(-0.983992\pi\) | ||
0.998736 | − | 0.0502685i | \(-0.0160077\pi\) | |||||||
\(648\) | 21.5918 | − | 13.4831i | 0.848206 | − | 0.529666i | ||||
\(649\) | −14.7707 | −0.579801 | ||||||||
\(650\) | −6.81291 | − | 9.90688i | −0.267224 | − | 0.388580i | ||||
\(651\) | 3.83584 | + | 5.45986i | 0.150339 | + | 0.213989i | ||||
\(652\) | −15.5186 | − | 14.0970i | −0.607757 | − | 0.552081i | ||||
\(653\) | 11.9096 | + | 6.87603i | 0.466060 | + | 0.269080i | 0.714589 | − | 0.699544i | \(-0.246614\pi\) |
−0.248529 | + | 0.968625i | \(0.579947\pi\) | |||||||
\(654\) | 20.4749 | + | 12.3200i | 0.800633 | + | 0.481749i | ||||
\(655\) | 5.73379 | − | 33.6182i | 0.224038 | − | 1.31357i | ||||
\(656\) | −6.74698 | + | 14.8025i | −0.263425 | + | 0.577942i | ||||
\(657\) | −2.17776 | − | 0.784890i | −0.0849626 | − | 0.0306215i | ||||
\(658\) | 15.3360 | + | 1.64595i | 0.597861 | + | 0.0641660i | ||||
\(659\) | −39.7037 | + | 22.9230i | −1.54664 | + | 0.892952i | −0.548243 | + | 0.836319i | \(0.684703\pi\) |
−0.998395 | + | 0.0566328i | \(0.981964\pi\) | |||||||
\(660\) | 7.31438 | − | 6.85891i | 0.284712 | − | 0.266983i | ||||
\(661\) | 11.4050 | + | 6.58470i | 0.443604 | + | 0.256115i | 0.705125 | − | 0.709083i | \(-0.250891\pi\) |
−0.261521 | + | 0.965198i | \(0.584224\pi\) | |||||||
\(662\) | 22.2780 | + | 16.2608i | 0.865861 | + | 0.631995i | ||||
\(663\) | 1.28930 | + | 14.4746i | 0.0500724 | + | 0.562145i | ||||
\(664\) | −40.5966 | + | 8.34982i | −1.57545 | + | 0.324036i | ||||
\(665\) | −3.46758 | + | 4.17984i | −0.134467 | + | 0.162087i | ||||
\(666\) | 2.87746 | + | 40.5958i | 0.111499 | + | 1.57306i | ||||
\(667\) | − | 0.268268i | − | 0.0103874i | ||||||
\(668\) | −10.4661 | + | 3.34986i | −0.404944 | + | 0.129610i | ||||
\(669\) | 14.0079 | + | 6.50517i | 0.541575 | + | 0.251504i | ||||
\(670\) | 10.2434 | + | 40.4962i | 0.395739 | + | 1.56450i | ||||
\(671\) | 9.90561 | − | 17.1570i | 0.382402 | − | 0.662339i | ||||
\(672\) | −1.09752 | − | 14.0684i | −0.0423378 | − | 0.542701i | ||||
\(673\) | 11.0032 | − | 6.35272i | 0.424144 | − | 0.244879i | −0.272705 | − | 0.962098i | \(-0.587918\pi\) |
0.696849 | + | 0.717218i | \(0.254585\pi\) | |||||||
\(674\) | −37.7849 | − | 4.05529i | −1.45542 | − | 0.156204i | ||||
\(675\) | 21.5168 | + | 14.5612i | 0.828181 | + | 0.560460i | ||||
\(676\) | 19.7571 | + | 4.29030i | 0.759887 | + | 0.165012i | ||||
\(677\) | −26.3351 | + | 15.2046i | −1.01214 | + | 0.584359i | −0.911817 | − | 0.410596i | \(-0.865321\pi\) |
−0.100322 | + | 0.994955i | \(0.531987\pi\) | |||||||
\(678\) | 9.93220 | + | 17.9446i | 0.381444 | + | 0.689156i | ||||
\(679\) | 9.44609 | + | 5.45370i | 0.362508 | + | 0.209294i | ||||
\(680\) | −31.1888 | + | 1.05828i | −1.19604 | + | 0.0405834i | ||||
\(681\) | 14.7402 | + | 6.84526i | 0.564846 | + | 0.262311i | ||||
\(682\) | −4.47796 | + | 1.98194i | −0.171470 | + | 0.0758924i | ||||
\(683\) | 17.8153 | 0.681684 | 0.340842 | − | 0.940121i | \(-0.389288\pi\) | ||||
0.340842 | + | 0.940121i | \(0.389288\pi\) | |||||||
\(684\) | −4.73918 | − | 8.93999i | −0.181207 | − | 0.341829i | ||||
\(685\) | −15.0377 | + | 18.1265i | −0.574561 | + | 0.692578i | ||||
\(686\) | 22.2118 | − | 9.83090i | 0.848049 | − | 0.375346i | ||||
\(687\) | 31.8333 | − | 2.83551i | 1.21451 | − | 0.108182i | ||||
\(688\) | −18.5754 | − | 26.0451i | −0.708182 | − | 0.992962i | ||||
\(689\) | −12.6432 | − | 7.29956i | −0.481668 | − | 0.278091i | ||||
\(690\) | 1.67348 | + | 1.44017i | 0.0637085 | + | 0.0548265i | ||||
\(691\) | 14.4348 | + | 25.0018i | 0.549127 | + | 0.951115i | 0.998335 | + | 0.0576880i | \(0.0183729\pi\) |
−0.449208 | + | 0.893427i | \(0.648294\pi\) | |||||||
\(692\) | 4.78095 | − | 22.0165i | 0.181744 | − | 0.836942i | ||||
\(693\) | 4.27323 | − | 3.60864i | 0.162327 | − | 0.137081i | ||||
\(694\) | 3.42830 | − | 31.9429i | 0.130137 | − | 1.21254i | ||||
\(695\) | −27.5707 | − | 4.70235i | −1.04582 | − | 0.178370i | ||||
\(696\) | 2.23548 | − | 2.37327i | 0.0847357 | − | 0.0899587i | ||||
\(697\) | 17.3786 | + | 10.0335i | 0.658260 | + | 0.380047i | ||||
\(698\) | −17.8648 | + | 24.4756i | −0.676193 | + | 0.926413i | ||||
\(699\) | 24.8494 | − | 17.4581i | 0.939891 | − | 0.660325i | ||||
\(700\) | 12.6700 | − | 6.84786i | 0.478881 | − | 0.258825i | ||||
\(701\) | 39.1179 | 1.47746 | 0.738731 | − | 0.674001i | \(-0.235426\pi\) | ||||
0.738731 | + | 0.674001i | \(0.235426\pi\) | |||||||
\(702\) | 12.3363 | − | 1.98578i | 0.465603 | − | 0.0749485i | ||||
\(703\) | 16.1769 | 0.610125 | ||||||||
\(704\) | 10.2842 | + | 1.21816i | 0.387599 | + | 0.0459110i | ||||
\(705\) | −29.2354 | − | 2.34652i | −1.10107 | − | 0.0883749i | ||||
\(706\) | 19.4553 | + | 14.2005i | 0.732209 | + | 0.534442i | ||||
\(707\) | 10.0307 | − | 17.3737i | 0.377244 | − | 0.653406i | ||||
\(708\) | 23.8766 | − | 31.5000i | 0.897336 | − | 1.18384i | ||||
\(709\) | 42.3527 | − | 24.4524i | 1.59059 | − | 0.918328i | 0.597385 | − | 0.801954i | \(-0.296206\pi\) |
0.993205 | − | 0.116374i | \(-0.0371271\pi\) | |||||||
\(710\) | 20.5859 | + | 21.1726i | 0.772576 | + | 0.794593i | ||||
\(711\) | 3.99042 | + | 22.2218i | 0.149653 | + | 0.833382i | ||||
\(712\) | 21.6990 | + | 7.20888i | 0.813205 | + | 0.270164i | ||||
\(713\) | −0.539124 | − | 0.933790i | −0.0201904 | − | 0.0349707i | ||||
\(714\) | −17.4041 | − | 0.314650i | −0.651331 | − | 0.0117755i | ||||
\(715\) | 4.61555 | − | 1.70927i | 0.172612 | − | 0.0639230i | ||||
\(716\) | −28.9981 | − | 26.3416i | −1.08371 | − | 0.984431i | ||||
\(717\) | −2.91104 | − | 32.6811i | −0.108715 | − | 1.22050i | ||||
\(718\) | −18.3286 | + | 8.11224i | −0.684019 | + | 0.302746i | ||||
\(719\) | 45.3371 | 1.69079 | 0.845394 | − | 0.534143i | \(-0.179366\pi\) | ||||
0.845394 | + | 0.534143i | \(0.179366\pi\) | |||||||
\(720\) | 2.80375 | + | 26.6859i | 0.104490 | + | 0.994526i | ||||
\(721\) | 15.2563 | 0.568176 | ||||||||
\(722\) | 20.8931 | − | 9.24727i | 0.777561 | − | 0.344148i | ||||
\(723\) | 34.7135 | + | 16.1207i | 1.29101 | + | 0.599536i | ||||
\(724\) | −4.25712 | − | 3.86713i | −0.158215 | − | 0.143721i | ||||
\(725\) | 3.13945 | + | 1.10299i | 0.116596 | + | 0.0409640i | ||||
\(726\) | −11.0604 | − | 19.9829i | −0.410491 | − | 0.741636i | ||||
\(727\) | 10.5000 | + | 18.1865i | 0.389422 | + | 0.674498i | 0.992372 | − | 0.123281i | \(-0.0393416\pi\) |
−0.602950 | + | 0.797779i | \(0.706008\pi\) | |||||||
\(728\) | 2.18378 | − | 6.57326i | 0.0809362 | − | 0.243621i | ||||
\(729\) | −23.2542 | + | 13.7201i | −0.861268 | + | 0.508151i | ||||
\(730\) | 1.74948 | − | 1.70101i | 0.0647512 | − | 0.0629571i | ||||
\(731\) | −34.1752 | + | 19.7311i | −1.26402 | + | 0.729780i | ||||
\(732\) | 20.5768 | + | 48.8587i | 0.760542 | + | 1.80587i | ||||
\(733\) | −2.52514 | + | 4.37367i | −0.0932681 | + | 0.161545i | −0.908884 | − | 0.417048i | \(-0.863065\pi\) |
0.815616 | + | 0.578593i | \(0.196398\pi\) | |||||||
\(734\) | 22.8807 | + | 16.7007i | 0.844543 | + | 0.616436i | ||||
\(735\) | −17.2318 | + | 8.18634i | −0.635603 | + | 0.301958i | ||||
\(736\) | −0.0250460 | + | 2.28013i | −0.000923206 | + | 0.0840468i | ||||
\(737\) | −17.0996 | −0.629871 | ||||||||
\(738\) | 7.54913 | − | 15.5154i | 0.277887 | − | 0.571129i | ||||
\(739\) | −29.3617 | −1.08009 | −0.540044 | − | 0.841637i | \(-0.681593\pi\) | ||||
−0.540044 | + | 0.841637i | \(0.681593\pi\) | |||||||
\(740\) | −39.7948 | − | 16.0222i | −1.46288 | − | 0.588988i | ||||
\(741\) | −0.440656 | − | 4.94709i | −0.0161879 | − | 0.181736i | ||||
\(742\) | 10.3099 | − | 14.1250i | 0.378489 | − | 0.518547i | ||||
\(743\) | −33.7128 | − | 19.4641i | −1.23680 | − | 0.714068i | −0.268363 | − | 0.963318i | \(-0.586483\pi\) |
−0.968439 | + | 0.249250i | \(0.919816\pi\) | |||||||
\(744\) | 3.01185 | − | 12.7535i | 0.110420 | − | 0.467565i | ||||
\(745\) | −11.2630 | − | 1.92098i | −0.412645 | − | 0.0703792i | ||||
\(746\) | −5.54729 | + | 51.6864i | −0.203101 | + | 1.89237i | ||||
\(747\) | 43.2684 | − | 7.76982i | 1.58311 | − | 0.284283i | ||||
\(748\) | 2.71090 | − | 12.4838i | 0.0991201 | − | 0.456453i | ||||
\(749\) | 8.82152 | + | 15.2793i | 0.322331 | + | 0.558294i | ||||
\(750\) | −23.7345 | + | 13.6629i | −0.866660 | + | 0.498900i | ||||
\(751\) | 25.3993 | + | 14.6643i | 0.926833 | + | 0.535107i | 0.885808 | − | 0.464051i | \(-0.153605\pi\) |
0.0410243 | + | 0.999158i | \(0.486938\pi\) | |||||||
\(752\) | −17.5887 | − | 24.6617i | −0.641396 | − | 0.899319i | ||||
\(753\) | −15.4955 | − | 22.0560i | −0.564689 | − | 0.803766i | ||||
\(754\) | 1.46342 | − | 0.647707i | 0.0532945 | − | 0.0235881i | ||||
\(755\) | 8.96469 | + | 7.43708i | 0.326259 | + | 0.270663i | ||||
\(756\) | 0.788183 | + | 14.9464i | 0.0286659 | + | 0.543595i | ||||
\(757\) | 25.7219 | 0.934877 | 0.467439 | − | 0.884026i | \(-0.345177\pi\) | ||||
0.467439 | + | 0.884026i | \(0.345177\pi\) | |||||||
\(758\) | −7.54899 | + | 3.34118i | −0.274192 | + | 0.121357i | ||||
\(759\) | −0.739539 | + | 0.519566i | −0.0268436 | + | 0.0188591i | ||||
\(760\) | 10.6597 | − | 0.361699i | 0.386666 | − | 0.0131202i | ||||
\(761\) | 4.87124 | + | 2.81241i | 0.176582 | + | 0.101950i | 0.585686 | − | 0.810538i | \(-0.300825\pi\) |
−0.409104 | + | 0.912488i | \(0.634159\pi\) | |||||||
\(762\) | −17.2680 | + | 28.6983i | −0.625555 | + | 1.03963i | ||||
\(763\) | −12.1675 | + | 7.02492i | −0.440494 | + | 0.254319i | ||||
\(764\) | 9.91188 | + | 2.15240i | 0.358599 | + | 0.0778709i | ||||
\(765\) | 33.0985 | − | 0.289562i | 1.19668 | − | 0.0104691i | ||||
\(766\) | −21.5108 | − | 2.30866i | −0.777216 | − | 0.0834153i | ||||
\(767\) | 16.8023 | − | 9.70084i | 0.606698 | − | 0.350277i | ||||
\(768\) | −19.2220 | + | 19.9629i | −0.693613 | + | 0.720348i | ||||
\(769\) | −2.92255 | + | 5.06201i | −0.105390 | + | 0.182541i | −0.913897 | − | 0.405945i | \(-0.866942\pi\) |
0.808508 | + | 0.588486i | \(0.200276\pi\) | |||||||
\(770\) | 1.44576 | + | 5.71563i | 0.0521016 | + | 0.205977i | ||||
\(771\) | 1.31805 | + | 14.7973i | 0.0474684 | + | 0.532911i | ||||
\(772\) | −35.9729 | + | 11.5138i | −1.29469 | + | 0.414392i | ||||
\(773\) | 23.9268i | 0.860587i | 0.902689 | + | 0.430293i | \(0.141590\pi\) | ||||
−0.902689 | + | 0.430293i | \(0.858410\pi\) | |||||||
\(774\) | 19.0007 | + | 28.1121i | 0.682967 | + | 1.01047i | ||||
\(775\) | 13.1445 | − | 2.46989i | 0.472163 | − | 0.0887210i | ||||
\(776\) | −4.31548 | − | 20.9818i | −0.154917 | − | 0.753201i | ||||
\(777\) | −21.7028 | − | 10.0786i | −0.778583 | − | 0.361569i | ||||
\(778\) | 44.3621 | + | 32.3801i | 1.59046 | + | 1.16088i | ||||
\(779\) | −5.93962 | − | 3.42924i | −0.212809 | − | 0.122865i | ||||
\(780\) | −3.81577 | + | 12.6061i | −0.136626 | + | 0.451372i | ||||
\(781\) | −10.4691 | + | 6.04431i | −0.374612 | + | 0.216282i | ||||
\(782\) | 2.79678 | + | 0.300166i | 0.100012 | + | 0.0107339i | ||||
\(783\) | −2.43369 | + | 2.45677i | −0.0869729 | + | 0.0877976i | ||||
\(784\) | −17.9286 | − | 8.17183i | −0.640306 | − | 0.291851i | ||||
\(785\) | 40.9686 | + | 6.98745i | 1.46223 | + | 0.249393i | ||||
\(786\) | −32.6859 | + | 18.0915i | −1.16587 | + | 0.645301i | ||||
\(787\) | −11.6776 | − | 6.74204i | −0.416260 | − | 0.240328i | 0.277216 | − | 0.960808i | \(-0.410588\pi\) |
−0.693476 | + | 0.720480i | \(0.743922\pi\) | |||||||
\(788\) | 7.36289 | + | 6.68839i | 0.262292 | + | 0.238264i | ||||
\(789\) | −10.2478 | + | 22.0671i | −0.364833 | + | 0.785611i | ||||
\(790\) | −22.8988 | − | 6.48181i | −0.814702 | − | 0.230612i | ||||
\(791\) | −12.0591 | −0.428773 | ||||||||
\(792\) | −10.8720 | − | 1.56617i | −0.386320 | − | 0.0556514i | ||||
\(793\) | 26.0225i | 0.924086i | ||||||||
\(794\) | −11.3909 | + | 5.04158i | −0.404246 | + | 0.178919i | ||||
\(795\) | −18.8772 | + | 27.3754i | −0.669504 | + | 0.970904i | ||||
\(796\) | 18.4983 | + | 16.8037i | 0.655654 | + | 0.595591i | ||||
\(797\) | 21.9027 | + | 12.6455i | 0.775833 | + | 0.447927i | 0.834951 | − | 0.550324i | \(-0.185496\pi\) |
−0.0591187 | + | 0.998251i | \(0.518829\pi\) | |||||||
\(798\) | 5.94833 | + | 0.107540i | 0.210569 | + | 0.00380689i | ||||
\(799\) | −32.3599 | + | 18.6830i | −1.14481 | + | 0.660957i | ||||
\(800\) | −26.5807 | − | 9.66792i | −0.939768 | − | 0.341813i | ||||
\(801\) | −22.8156 | − | 8.22299i | −0.806148 | − | 0.290545i | ||||
\(802\) | −0.367018 | − | 0.0393906i | −0.0129599 | − | 0.00139093i | ||||
\(803\) | 0.499439 | + | 0.865053i | 0.0176248 | + | 0.0305271i | ||||
\(804\) | 27.6411 | − | 36.4665i | 0.974827 | − | 1.28608i | ||||
\(805\) | −1.21735 | + | 0.450819i | −0.0429060 | + | 0.0158893i | ||||
\(806\) | 3.79222 | − | 5.19550i | 0.133575 | − | 0.183004i | ||||
\(807\) | −27.0068 | + | 18.9738i | −0.950686 | + | 0.667908i | ||||
\(808\) | −38.5907 | + | 7.93725i | −1.35761 | + | 0.279231i | ||||
\(809\) | 28.0170i | 0.985025i | 0.870305 | + | 0.492513i | \(0.163921\pi\) | ||||
−0.870305 | + | 0.492513i | \(0.836079\pi\) | |||||||
\(810\) | −2.26053 | − | 28.3706i | −0.0794268 | − | 0.996841i | ||||
\(811\) | 7.91879 | 0.278066 | 0.139033 | − | 0.990288i | \(-0.455601\pi\) | ||||
0.139033 | + | 0.990288i | \(0.455601\pi\) | |||||||
\(812\) | 0.584360 | + | 1.82573i | 0.0205070 | + | 0.0640705i | ||||
\(813\) | −16.0252 | − | 22.8098i | −0.562027 | − | 0.799976i | ||||
\(814\) | 10.3534 | − | 14.1845i | 0.362885 | − | 0.497168i | ||||
\(815\) | −21.9813 | + | 8.14028i | −0.769971 | + | 0.285142i | ||||
\(816\) | 22.2409 | + | 25.9611i | 0.778586 | + | 0.908820i | ||||
\(817\) | 11.6803 | − | 6.74365i | 0.408643 | − | 0.235930i | ||||
\(818\) | 1.14647 | − | 10.6821i | 0.0400853 | − | 0.373492i | ||||
\(819\) | −2.49098 | + | 6.91149i | −0.0870419 | + | 0.241507i | ||||
\(820\) | 11.2148 | + | 14.3186i | 0.391639 | + | 0.500028i | ||||
\(821\) | −25.7289 | − | 44.5637i | −0.897943 | − | 1.55528i | −0.830119 | − | 0.557586i | \(-0.811728\pi\) |
−0.0678239 | − | 0.997697i | \(-0.521606\pi\) | |||||||
\(822\) | 25.7958 | + | 0.466365i | 0.899733 | + | 0.0162664i | ||||
\(823\) | 5.58180 | − | 9.66796i | 0.194569 | − | 0.337004i | −0.752190 | − | 0.658946i | \(-0.771002\pi\) |
0.946759 | + | 0.321942i | \(0.104336\pi\) | |||||||
\(824\) | −19.9012 | − | 22.3976i | −0.693290 | − | 0.780257i | ||||
\(825\) | −3.03968 | − | 10.7908i | −0.105828 | − | 0.375687i | ||||
\(826\) | 9.40598 | + | 21.2517i | 0.327276 | + | 0.739441i | ||||
\(827\) | 4.69239 | 0.163170 | 0.0815851 | − | 0.996666i | \(-0.474002\pi\) | ||||
0.0815851 | + | 0.996666i | \(0.474002\pi\) | |||||||
\(828\) | 0.0874233 | − | 2.41701i | 0.00303817 | − | 0.0839969i | ||||
\(829\) | − | 19.5794i | − | 0.680020i | −0.940422 | − | 0.340010i | \(-0.889570\pi\) | ||
0.940422 | − | 0.340010i | \(-0.110430\pi\) | |||||||
\(830\) | −12.6208 | + | 44.5866i | −0.438076 | + | 1.54762i | ||||
\(831\) | −34.6616 | − | 16.0966i | −1.20240 | − | 0.558386i | ||||
\(832\) | −12.4987 | + | 5.36853i | −0.433315 | + | 0.186120i | ||||
\(833\) | −12.1524 | + | 21.0486i | −0.421057 | + | 0.729292i | ||||
\(834\) | 14.8370 | + | 26.8061i | 0.513764 | + | 0.928220i | ||||
\(835\) | −2.06565 | + | 12.1113i | −0.0714848 | + | 0.419128i | ||||
\(836\) | −0.926525 | + | 4.26669i | −0.0320445 | + | 0.147567i | ||||
\(837\) | −3.53398 | + | 13.4424i | −0.122152 | + | 0.464638i | ||||
\(838\) | −14.7084 | − | 1.57859i | −0.508094 | − | 0.0545316i | ||||
\(839\) | 23.1541 | + | 40.1041i | 0.799369 | + | 1.38455i | 0.920028 | + | 0.391853i | \(0.128166\pi\) |
−0.120659 | + | 0.992694i | \(0.538501\pi\) | |||||||
\(840\) | −14.5262 | − | 6.15598i | −0.501202 | − | 0.212402i | ||||
\(841\) | 14.2785 | − | 24.7312i | 0.492364 | − | 0.852799i | ||||
\(842\) | −6.97543 | + | 9.55663i | −0.240389 | + | 0.329343i | ||||
\(843\) | −3.65778 | + | 7.87645i | −0.125980 | + | 0.271279i | ||||
\(844\) | 2.62454 | + | 8.19993i | 0.0903405 | + | 0.282253i | ||||
\(845\) | 14.4323 | − | 17.3967i | 0.496485 | − | 0.598465i | ||||
\(846\) | 17.9915 | + | 26.6189i | 0.618559 | + | 0.915176i | ||||
\(847\) | 13.4289 | 0.461424 | ||||||||
\(848\) | −34.1856 | + | 3.28961i | −1.17394 | + | 0.112966i | ||||
\(849\) | −6.93659 | + | 0.617869i | −0.238063 | + | 0.0212052i | ||||
\(850\) | −15.0118 | + | 31.4956i | −0.514899 | + | 1.08029i | ||||
\(851\) | 3.34869 | + | 1.93337i | 0.114792 | + | 0.0662750i | ||||
\(852\) | 4.03292 | − | 32.0968i | 0.138166 | − | 1.09962i | ||||
\(853\) | 9.21263 | + | 15.9567i | 0.315434 | + | 0.546348i | 0.979530 | − | 0.201299i | \(-0.0645164\pi\) |
−0.664095 | + | 0.747648i | \(0.731183\pi\) | |||||||
\(854\) | −30.9929 | − | 3.32634i | −1.06056 | − | 0.113825i | ||||
\(855\) | −11.3123 | + | 0.0989661i | −0.386874 | + | 0.00338457i | ||||
\(856\) | 10.9241 | − | 32.8819i | 0.373377 | − | 1.12388i | ||||
\(857\) | 2.57048 | + | 4.45220i | 0.0878060 | + | 0.152084i | 0.906583 | − | 0.422027i | \(-0.138681\pi\) |
−0.818777 | + | 0.574111i | \(0.805348\pi\) | |||||||
\(858\) | −4.61981 | − | 2.77979i | −0.157718 | − | 0.0949004i | ||||
\(859\) | −20.9073 | + | 36.2126i | −0.713349 | + | 1.23556i | 0.250243 | + | 0.968183i | \(0.419489\pi\) |
−0.963593 | + | 0.267374i | \(0.913844\pi\) | |||||||
\(860\) | −35.4124 | + | 5.02055i | −1.20755 | + | 0.171199i | ||||
\(861\) | 5.83201 | + | 8.30116i | 0.198754 | + | 0.282903i | ||||
\(862\) | 50.3805 | − | 22.2984i | 1.71597 | − | 0.759485i | ||||
\(863\) | − | 24.8097i | − | 0.844531i | −0.906472 | − | 0.422265i | \(-0.861235\pi\) | ||
0.906472 | − | 0.422265i | \(-0.138765\pi\) | |||||||
\(864\) | 20.9144 | − | 20.6540i | 0.711523 | − | 0.702663i | ||||
\(865\) | −19.3862 | − | 16.0827i | −0.659151 | − | 0.546830i | ||||
\(866\) | 3.30145 | + | 7.45924i | 0.112188 | + | 0.253475i | ||||
\(867\) | 10.4119 | − | 7.31489i | 0.353605 | − | 0.248427i | ||||
\(868\) | 5.70313 | + | 5.18067i | 0.193577 | + | 0.175843i | ||||
\(869\) | 4.87106 | − | 8.43692i | 0.165239 | − | 0.286203i | ||||
\(870\) | −1.20390 | − | 3.44062i | −0.0408159 | − | 0.116648i | ||||
\(871\) | 19.4515 | − | 11.2304i | 0.659090 | − | 0.380526i | ||||
\(872\) | 26.1851 | + | 8.69927i | 0.886741 | + | 0.294594i | ||||
\(873\) | 4.01572 | + | 22.3627i | 0.135912 | + | 0.756861i | ||||
\(874\) | −0.955877 | − | 0.102590i | −0.0323330 | − | 0.00347017i | ||||
\(875\) | −0.270616 | − | 16.0998i | −0.00914849 | − | 0.544274i | ||||
\(876\) | −2.65215 | − | 0.333239i | −0.0896077 | − | 0.0112591i | ||||
\(877\) | −5.82523 | + | 10.0896i | −0.196704 | + | 0.340702i | −0.947458 | − | 0.319881i | \(-0.896357\pi\) |
0.750754 | + | 0.660582i | \(0.229691\pi\) | |||||||
\(878\) | 19.5714 | − | 26.8136i | 0.660503 | − | 0.904917i | ||||
\(879\) | −9.80951 | + | 0.873771i | −0.330867 | + | 0.0294716i | ||||
\(880\) | 6.50510 | − | 9.57827i | 0.219287 | − | 0.322883i | ||||
\(881\) | − | 23.2580i | − | 0.783581i | −0.920054 | − | 0.391791i | \(-0.871856\pi\) | ||
0.920054 | − | 0.391791i | \(-0.128144\pi\) | |||||||
\(882\) | 18.7920 | + | 9.14338i | 0.632758 | + | 0.307874i | ||||
\(883\) | − | 7.41649i | − | 0.249585i | −0.992183 | − | 0.124792i | \(-0.960174\pi\) | ||
0.992183 | − | 0.124792i | \(-0.0398265\pi\) | |||||||
\(884\) | 5.11512 | + | 15.9813i | 0.172040 | + | 0.537510i | ||||
\(885\) | −18.9632 | − | 39.9164i | −0.637441 | − | 1.34178i | ||||
\(886\) | 3.60230 | + | 2.62933i | 0.121022 | + | 0.0883342i | ||||
\(887\) | −1.80642 | − | 1.04294i | −0.0606537 | − | 0.0350184i | 0.469366 | − | 0.883003i | \(-0.344482\pi\) |
−0.530020 | + | 0.847985i | \(0.677816\pi\) | |||||||
\(888\) | 13.5140 | + | 45.0086i | 0.453499 | + | 1.51039i | ||||
\(889\) | −9.84634 | − | 17.0544i | −0.330236 | − | 0.571985i | ||||
\(890\) | 18.3286 | − | 17.8208i | 0.614377 | − | 0.597354i | ||||
\(891\) | 11.4861 | + | 1.95087i | 0.384797 | + | 0.0653565i | ||||
\(892\) | 17.4278 | + | 3.78450i | 0.583525 | + | 0.126714i | ||||
\(893\) | 11.0599 | − | 6.38544i | 0.370106 | − | 0.213681i | ||||
\(894\) | 6.06114 | + | 10.9507i | 0.202715 | + | 0.366246i | ||||
\(895\) | −41.0742 | + | 15.2109i | −1.37296 | + | 0.508444i | ||||
\(896\) | −4.79629 | − | 15.5723i | −0.160233 | − | 0.520233i | ||||
\(897\) | 0.500028 | − | 1.07673i | 0.0166954 | − | 0.0359510i | ||||
\(898\) | −16.9106 | − | 38.2074i | −0.564313 | − | 1.27500i | ||||
\(899\) | 1.78018i | 0.0593724i | ||||||||
\(900\) | 27.9260 | + | 10.9607i | 0.930868 | + | 0.365356i | ||||
\(901\) | 42.3646i | 1.41137i | ||||||||
\(902\) | −6.80828 | + | 3.01334i | −0.226691 | + | 0.100333i | ||||
\(903\) | −19.8717 | + | 1.77005i | −0.661287 | + | 0.0589034i | ||||
\(904\) | 15.7305 | + | 17.7038i | 0.523190 | + | 0.588819i | ||||
\(905\) | −6.02998 | + | 2.23307i | −0.200443 | + | 0.0742298i | ||||
\(906\) | 0.230647 | − | 12.7577i | 0.00766273 | − | 0.423845i | ||||
\(907\) | −7.01822 | + | 4.05197i | −0.233036 | + | 0.134543i | −0.611972 | − | 0.790879i | \(-0.709623\pi\) |
0.378936 | + | 0.925423i | \(0.376290\pi\) | |||||||
\(908\) | 18.3389 | + | 3.98235i | 0.608598 | + | 0.132159i | ||||
\(909\) | 41.1305 | − | 7.38591i | 1.36421 | − | 0.244975i | ||||
\(910\) | −5.39843 | − | 5.55227i | −0.178956 | − | 0.184056i | ||||
\(911\) | −13.9946 | − | 24.2394i | −0.463663 | − | 0.803088i | 0.535477 | − | 0.844550i | \(-0.320132\pi\) |
−0.999140 | + | 0.0414621i | \(0.986798\pi\) | |||||||
\(912\) | −7.60144 | − | 8.87293i | −0.251709 | − | 0.293812i | ||||
\(913\) | −16.4277 | − | 9.48453i | −0.543677 | − | 0.313892i | ||||
\(914\) | −6.06504 | + | 8.30936i | −0.200614 | + | 0.274849i | ||||
\(915\) | 59.0824 | + | 4.74212i | 1.95320 | + | 0.156770i | ||||
\(916\) | 35.1470 | − | 11.2495i | 1.16129 | − | 0.371693i | ||||
\(917\) | − | 21.9656i | − | 0.725369i | ||||||
\(918\) | −22.8895 | − | 28.1209i | −0.755466 | − | 0.928127i | ||||
\(919\) | 53.5663i | 1.76699i | 0.468440 | + | 0.883495i | \(0.344816\pi\) | ||||
−0.468440 | + | 0.883495i | \(0.655184\pi\) | |||||||
\(920\) | 2.24982 | + | 1.19910i | 0.0741743 | + | 0.0395332i | ||||
\(921\) | 15.0339 | + | 21.3989i | 0.495384 | + | 0.705118i | ||||
\(922\) | −16.2140 | − | 11.8346i | −0.533978 | − | 0.389753i | ||||
\(923\) | 7.93935 | − | 13.7514i | 0.261327 | − | 0.452632i | ||||
\(924\) | 3.90127 | − | 5.14689i | 0.128342 | − | 0.169320i | ||||
\(925\) | −36.3938 | + | 31.2396i | −1.19662 | + | 1.02715i | ||||
\(926\) | 0.826153 | − | 7.69762i | 0.0271491 | − | 0.252959i | ||||
\(927\) | 20.5038 | + | 24.2800i | 0.673434 | + | 0.797459i | ||||
\(928\) | 1.91805 | − | 3.23947i | 0.0629632 | − | 0.106341i | ||||
\(929\) | 18.5560 | − | 10.7133i | 0.608803 | − | 0.351492i | −0.163694 | − | 0.986511i | \(-0.552341\pi\) |
0.772497 | + | 0.635019i | \(0.219008\pi\) | |||||||
\(930\) | −11.1050 | − | 9.55677i | −0.364147 | − | 0.313379i | ||||
\(931\) | 4.15344 | − | 7.19397i | 0.136123 | − | 0.235773i | ||||
\(932\) | 23.5788 | − | 25.9566i | 0.772348 | − | 0.850237i | ||||
\(933\) | 3.13879 | + | 35.2380i | 0.102759 | + | 1.15364i | ||||
\(934\) | 49.3749 | − | 21.8533i | 1.61560 | − | 0.715062i | ||||
\(935\) | −10.9924 | − | 9.11924i | −0.359489 | − | 0.298231i | ||||
\(936\) | 13.3960 | − | 5.35874i | 0.437862 | − | 0.175156i | ||||
\(937\) | − | 44.5371i | − | 1.45496i | −0.686127 | − | 0.727482i | \(-0.740691\pi\) | ||
0.686127 | − | 0.727482i | \(-0.259309\pi\) | |||||||
\(938\) | 10.8890 | + | 24.6024i | 0.355538 | + | 0.803297i | ||||
\(939\) | −9.71351 | + | 20.9165i | −0.316989 | + | 0.682585i | ||||
\(940\) | −33.5314 | + | 4.75387i | −1.09367 | + | 0.155054i | ||||
\(941\) | −6.48922 | + | 11.2397i | −0.211542 | + | 0.366402i | −0.952197 | − | 0.305483i | \(-0.901182\pi\) |
0.740655 | + | 0.671885i | \(0.234515\pi\) | |||||||
\(942\) | −22.0471 | − | 39.8325i | −0.718332 | − | 1.29781i | ||||
\(943\) | −0.819683 | − | 1.41973i | −0.0266926 | − | 0.0462329i | ||||
\(944\) | 18.9296 | − | 41.5306i | 0.616107 | − | 1.35171i | ||||
\(945\) | 15.2382 | + | 6.91510i | 0.495697 | + | 0.224948i | ||||
\(946\) | 1.56242 | − | 14.5577i | 0.0507987 | − | 0.473313i | ||||
\(947\) | −3.53637 | − | 6.12517i | −0.114916 | − | 0.199041i | 0.802830 | − | 0.596208i | \(-0.203327\pi\) |
−0.917746 | + | 0.397167i | \(0.869993\pi\) | |||||||
\(948\) | 10.1186 | + | 24.0261i | 0.328637 | + | 0.780333i | ||||
\(949\) | −1.13627 | − | 0.656025i | −0.0368848 | − | 0.0212955i | ||||
\(950\) | 5.13069 | − | 10.7645i | 0.166462 | − | 0.349247i | ||||
\(951\) | −6.00838 | + | 12.9381i | −0.194835 | + | 0.419547i | ||||
\(952\) | −19.6877 | + | 4.04932i | −0.638081 | + | 0.131239i | ||||
\(953\) | 6.09038 | 0.197287 | 0.0986433 | − | 0.995123i | \(-0.468550\pi\) | ||||
0.0986433 | + | 0.995123i | \(0.468550\pi\) | |||||||
\(954\) | 36.3356 | − | 2.57549i | 1.17641 | − | 0.0833846i | ||||
\(955\) | 7.24049 | − | 8.72772i | 0.234297 | − | 0.282422i | ||||
\(956\) | −11.5491 | − | 36.0831i | −0.373525 | − | 1.16701i | ||||
\(957\) | 1.48630 | − | 0.132390i | 0.0480452 | − | 0.00427957i | ||||
\(958\) | −10.9708 | − | 8.00762i | −0.354450 | − | 0.258714i | ||||
\(959\) | −7.58477 | + | 13.1372i | −0.244925 | + | 0.424223i | ||||
\(960\) | 9.91124 | + | 29.3559i | 0.319884 | + | 0.947457i | ||||
\(961\) | −11.9225 | − | 20.6503i | −0.384595 | − | 0.666139i | ||||
\(962\) | −2.46154 | + | 22.9353i | −0.0793634 | + | 0.739462i | ||||
\(963\) | −12.4608 | + | 34.5738i | −0.401544 | + | 1.11413i | ||||
\(964\) | 43.1885 | + | 9.37851i | 1.39101 | + | 0.302062i | ||||
\(965\) | −7.09986 | + | 41.6277i | −0.228553 | + | 1.34004i | ||||
\(966\) | 1.21848 | + | 0.733169i | 0.0392038 | + | 0.0235893i | ||||
\(967\) | 20.4211 | − | 35.3703i | 0.656697 | − | 1.13743i | −0.324769 | − | 0.945794i | \(-0.605286\pi\) |
0.981465 | − | 0.191639i | \(-0.0613803\pi\) | |||||||
\(968\) | −17.5174 | − | 19.7148i | −0.563031 | − | 0.633658i | ||||
\(969\) | −11.7931 | + | 8.28528i | −0.378849 | + | 0.266162i | ||||
\(970\) | −23.0439 | − | 6.52290i | −0.739897 | − | 0.209438i | ||||
\(971\) | − | 32.1236i | − | 1.03089i | −0.856921 | − | 0.515447i | \(-0.827626\pi\) | ||
0.856921 | − | 0.515447i | \(-0.172374\pi\) | |||||||
\(972\) | −22.7274 | + | 21.3416i | −0.728982 | + | 0.684533i | ||||
\(973\) | −18.0143 | −0.577511 | ||||||||
\(974\) | 29.9380 | − | 13.2505i | 0.959274 | − | 0.424574i | ||||
\(975\) | 10.5448 | + | 10.2787i | 0.337703 | + | 0.329181i | ||||
\(976\) | 35.5455 | + | 49.8393i | 1.13778 | + | 1.59532i | ||||
\(977\) | −7.45699 | + | 12.9159i | −0.238570 | + | 0.413216i | −0.960304 | − | 0.278955i | \(-0.910012\pi\) |
0.721734 | + | 0.692171i | \(0.243345\pi\) | |||||||
\(978\) | 22.0016 | + | 13.2386i | 0.703533 | + | 0.423323i | ||||
\(979\) | 5.23243 | + | 9.06283i | 0.167229 | + | 0.289649i | ||||
\(980\) | −17.3425 | + | 13.5832i | −0.553985 | + | 0.433900i | ||||
\(981\) | −27.5325 | − | 9.92304i | −0.879046 | − | 0.316818i | ||||
\(982\) | −32.6389 | − | 3.50300i | −1.04155 | − | 0.111785i | ||||
\(983\) | 25.8343 | − | 14.9154i | 0.823985 | − | 0.475728i | −0.0278035 | − | 0.999613i | \(-0.508851\pi\) |
0.851789 | + | 0.523885i | \(0.175518\pi\) | |||||||
\(984\) | 4.57921 | − | 19.3904i | 0.145980 | − | 0.618142i | ||||
\(985\) | 10.4291 | − | 3.86220i | 0.332300 | − | 0.123060i | ||||
\(986\) | −3.75106 | − | 2.73791i | −0.119458 | − | 0.0871929i | ||||
\(987\) | −18.8161 | + | 1.67602i | −0.598923 | + | 0.0533484i | ||||
\(988\) | −1.74824 | − | 5.46206i | −0.0556189 | − | 0.173771i | ||||
\(989\) | 3.22384 | 0.102512 | ||||||||
\(990\) | −7.15320 | + | 9.98242i | −0.227344 | + | 0.317262i | ||||
\(991\) | 4.83894i | 0.153714i | 0.997042 | + | 0.0768571i | \(0.0244885\pi\) | ||||
−0.997042 | + | 0.0768571i | \(0.975511\pi\) | |||||||
\(992\) | 0.166201 | − | 15.1306i | 0.00527689 | − | 0.480397i | ||||
\(993\) | −30.6375 | − | 14.2279i | −0.972252 | − | 0.451508i | ||||
\(994\) | 15.3631 | + | 11.2136i | 0.487287 | + | 0.355673i | ||||
\(995\) | 26.2018 | − | 9.70326i | 0.830653 | − | 0.307614i | ||||
\(996\) | 46.7817 | − | 19.7021i | 1.48234 | − | 0.624286i | ||||
\(997\) | −6.22916 | − | 10.7892i | −0.197280 | − | 0.341698i | 0.750366 | − | 0.661023i | \(-0.229877\pi\) |
−0.947645 | + | 0.319324i | \(0.896544\pi\) | |||||||
\(998\) | 1.00332 | − | 9.34832i | 0.0317594 | − | 0.295916i | ||||
\(999\) | −13.1277 | − | 48.0845i | −0.415342 | − | 1.52133i |
(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 | 360.2.bd.b.59.8 | ✓ | 128 | |
5.4 | even | 2 | inner | 360.2.bd.b.59.57 | yes | 128 | |
8.3 | odd | 2 | inner | 360.2.bd.b.59.52 | yes | 128 | |
9.2 | odd | 6 | inner | 360.2.bd.b.299.13 | yes | 128 | |
40.19 | odd | 2 | inner | 360.2.bd.b.59.13 | yes | 128 | |
45.29 | odd | 6 | inner | 360.2.bd.b.299.52 | yes | 128 | |
72.11 | even | 6 | inner | 360.2.bd.b.299.57 | yes | 128 | |
360.299 | even | 6 | inner | 360.2.bd.b.299.8 | yes | 128 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
360.2.bd.b.59.8 | ✓ | 128 | 1.1 | even | 1 | trivial | |
360.2.bd.b.59.13 | yes | 128 | 40.19 | odd | 2 | inner | |
360.2.bd.b.59.52 | yes | 128 | 8.3 | odd | 2 | inner | |
360.2.bd.b.59.57 | yes | 128 | 5.4 | even | 2 | inner | |
360.2.bd.b.299.8 | yes | 128 | 360.299 | even | 6 | inner | |
360.2.bd.b.299.13 | yes | 128 | 9.2 | odd | 6 | inner | |
360.2.bd.b.299.52 | yes | 128 | 45.29 | odd | 6 | inner | |
360.2.bd.b.299.57 | yes | 128 | 72.11 | even | 6 | inner |