Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [576,2,Mod(13,576)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(576, base_ring=CyclotomicField(48))
chi = DirichletCharacter(H, H._module([0, 45, 16]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("576.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 576 = 2^{6} \cdot 3^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 576.bm (of order \(48\), degree \(16\), 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: | \(4.59938315643\) |
Analytic rank: | \(0\) |
Dimension: | \(1504\) |
Relative dimension: | \(94\) over \(\Q(\zeta_{48})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{48}]$ |
Embedding invariants
Embedding label | 205.63 | ||
Character | \(\chi\) | \(=\) | 576.205 |
Dual form | 576.2.bm.a.517.63 |
$q$-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 \(\left(\mathbb{Z}/576\mathbb{Z}\right)^\times\).
\(n\) | \(65\) | \(127\) | \(325\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(1\) | \(e\left(\frac{15}{16}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.651385 | + | 1.25527i | 0.460598 | + | 0.887609i | ||||
\(3\) | 1.08369 | − | 1.35115i | 0.625671 | − | 0.780087i | ||||
\(4\) | −1.15140 | + | 1.63532i | −0.575698 | + | 0.817662i | ||||
\(5\) | 0.269515 | + | 0.307323i | 0.120531 | + | 0.137439i | 0.808958 | − | 0.587866i | \(-0.200032\pi\) |
−0.688427 | + | 0.725305i | \(0.741699\pi\) | |||||||
\(6\) | 2.40196 | + | 0.480209i | 0.980595 | + | 0.196045i | ||||
\(7\) | 4.59076 | + | 0.604385i | 1.73514 | + | 0.228436i | 0.930749 | − | 0.365660i | \(-0.119157\pi\) |
0.804394 | + | 0.594096i | \(0.202490\pi\) | |||||||
\(8\) | −2.80277 | − | 0.380086i | −0.990930 | − | 0.134381i | ||||
\(9\) | −0.651211 | − | 2.92847i | −0.217070 | − | 0.976156i | ||||
\(10\) | −0.210215 | + | 0.538499i | −0.0664758 | + | 0.170288i | ||||
\(11\) | −0.227808 | − | 0.461948i | −0.0686865 | − | 0.139283i | 0.859822 | − | 0.510595i | \(-0.170575\pi\) |
−0.928508 | + | 0.371312i | \(0.878908\pi\) | |||||||
\(12\) | 0.961806 | + | 3.32790i | 0.277650 | + | 0.960682i | ||||
\(13\) | −1.02572 | − | 3.02167i | −0.284483 | − | 0.838059i | −0.991412 | − | 0.130775i | \(-0.958253\pi\) |
0.706929 | − | 0.707284i | \(-0.250080\pi\) | |||||||
\(14\) | 2.23168 | + | 6.15632i | 0.596442 | + | 1.64535i | ||||
\(15\) | 0.707311 | − | 0.0311108i | 0.182627 | − | 0.00803278i | ||||
\(16\) | −1.34857 | − | 3.76581i | −0.337143 | − | 0.941453i | ||||
\(17\) | 5.43886 | + | 5.43886i | 1.31912 | + | 1.31912i | 0.914476 | + | 0.404640i | \(0.132603\pi\) |
0.404640 | + | 0.914476i | \(0.367397\pi\) | |||||||
\(18\) | 3.25182 | − | 2.72500i | 0.766462 | − | 0.642289i | ||||
\(19\) | −0.919955 | + | 4.62492i | −0.211052 | + | 1.06103i | 0.719394 | + | 0.694602i | \(0.244420\pi\) |
−0.930446 | + | 0.366428i | \(0.880580\pi\) | |||||||
\(20\) | −0.812891 | + | 0.0868940i | −0.181768 | + | 0.0194301i | ||||
\(21\) | 5.79159 | − | 5.54783i | 1.26383 | − | 1.21064i | ||||
\(22\) | 0.431478 | − | 0.586865i | 0.0919915 | − | 0.125120i | ||||
\(23\) | 0.0161523 | + | 0.122689i | 0.00336798 | + | 0.0255824i | 0.993046 | − | 0.117724i | \(-0.0375599\pi\) |
−0.989678 | + | 0.143307i | \(0.954227\pi\) | |||||||
\(24\) | −3.55090 | + | 3.37507i | −0.724825 | + | 0.688933i | ||||
\(25\) | 0.630822 | − | 4.79157i | 0.126164 | − | 0.958314i | ||||
\(26\) | 3.12486 | − | 3.25582i | 0.612836 | − | 0.638518i | ||||
\(27\) | −4.66251 | − | 2.29368i | −0.897301 | − | 0.441419i | ||||
\(28\) | −6.27415 | + | 6.81149i | −1.18570 | + | 1.28725i | ||||
\(29\) | −4.85353 | + | 0.318117i | −0.901278 | + | 0.0590729i | −0.508993 | − | 0.860771i | \(-0.669982\pi\) |
−0.392285 | + | 0.919844i | \(0.628315\pi\) | |||||||
\(30\) | 0.499784 | + | 0.867600i | 0.0912477 | + | 0.158401i | ||||
\(31\) | 2.27172 | − | 1.31158i | 0.408014 | − | 0.235567i | −0.281922 | − | 0.959437i | \(-0.590972\pi\) |
0.689936 | + | 0.723870i | \(0.257639\pi\) | |||||||
\(32\) | 3.84867 | − | 4.14581i | 0.680354 | − | 0.732883i | ||||
\(33\) | −0.871035 | − | 0.192809i | −0.151628 | − | 0.0335637i | ||||
\(34\) | −3.28444 | + | 10.3700i | −0.563276 | + | 1.77844i | ||||
\(35\) | 1.05154 | + | 1.57374i | 0.177742 | + | 0.266010i | ||||
\(36\) | 5.53880 | + | 2.30689i | 0.923133 | + | 0.384481i | ||||
\(37\) | 0.148761 | + | 0.747872i | 0.0244562 | + | 0.122949i | 0.991085 | − | 0.133232i | \(-0.0425355\pi\) |
−0.966629 | + | 0.256181i | \(0.917536\pi\) | |||||||
\(38\) | −6.40476 | + | 1.85781i | −1.03899 | + | 0.301377i | ||||
\(39\) | −5.19429 | − | 1.88867i | −0.831752 | − | 0.302429i | ||||
\(40\) | −0.638580 | − | 0.963795i | −0.100968 | − | 0.152389i | ||||
\(41\) | 0.457687 | + | 3.47648i | 0.0714787 | + | 0.542935i | 0.989295 | + | 0.145929i | \(0.0466173\pi\) |
−0.917816 | + | 0.397005i | \(0.870049\pi\) | |||||||
\(42\) | 10.7366 | + | 3.65623i | 1.65669 | + | 0.564169i | ||||
\(43\) | 2.07690 | − | 1.02421i | 0.316725 | − | 0.156191i | −0.276977 | − | 0.960877i | \(-0.589333\pi\) |
0.593702 | + | 0.804685i | \(0.297666\pi\) | |||||||
\(44\) | 1.01773 | + | 0.159346i | 0.153429 | + | 0.0240223i | ||||
\(45\) | 0.724474 | − | 0.989398i | 0.107998 | − | 0.147491i | ||||
\(46\) | −0.143486 | + | 0.100193i | −0.0211559 | + | 0.0147727i | ||||
\(47\) | −8.80813 | + | 2.36013i | −1.28480 | + | 0.344261i | −0.835682 | − | 0.549213i | \(-0.814927\pi\) |
−0.449115 | + | 0.893474i | \(0.648261\pi\) | |||||||
\(48\) | −6.54962 | − | 2.25887i | −0.945356 | − | 0.326040i | ||||
\(49\) | 13.9483 | + | 3.73743i | 1.99261 | + | 0.533919i | ||||
\(50\) | 6.42561 | − | 2.32930i | 0.908719 | − | 0.329413i | ||||
\(51\) | 13.2428 | − | 1.45465i | 1.85436 | − | 0.203692i | ||||
\(52\) | 6.12241 | + | 1.80175i | 0.849026 | + | 0.249858i | ||||
\(53\) | −4.67567 | + | 6.99763i | −0.642252 | + | 0.961198i | 0.357377 | + | 0.933960i | \(0.383671\pi\) |
−0.999629 | + | 0.0272379i | \(0.991329\pi\) | |||||||
\(54\) | −0.157904 | − | 7.34677i | −0.0214880 | − | 0.999769i | ||||
\(55\) | 0.0805697 | − | 0.194512i | 0.0108640 | − | 0.0262280i | ||||
\(56\) | −12.6371 | − | 3.43883i | −1.68871 | − | 0.459534i | ||||
\(57\) | 5.25202 | + | 6.25500i | 0.695646 | + | 0.828495i | ||||
\(58\) | −3.56084 | − | 5.88526i | −0.467561 | − | 0.772773i | ||||
\(59\) | −4.63489 | − | 5.28508i | −0.603412 | − | 0.688059i | 0.366805 | − | 0.930298i | \(-0.380452\pi\) |
−0.970217 | + | 0.242239i | \(0.922118\pi\) | |||||||
\(60\) | −0.763519 | + | 1.19250i | −0.0985699 | + | 0.153952i | ||||
\(61\) | 0.216157 | + | 3.29792i | 0.0276761 | + | 0.422255i | 0.989106 | + | 0.147205i | \(0.0470277\pi\) |
−0.961430 | + | 0.275050i | \(0.911306\pi\) | |||||||
\(62\) | 3.12615 | + | 1.99728i | 0.397022 | + | 0.253655i | ||||
\(63\) | −1.21963 | − | 13.8375i | −0.153659 | − | 1.74336i | ||||
\(64\) | 7.71107 | + | 2.13059i | 0.963884 | + | 0.266324i | ||||
\(65\) | 0.652181 | − | 1.12961i | 0.0808931 | − | 0.140111i | ||||
\(66\) | −0.325352 | − | 1.21897i | −0.0400481 | − | 0.150045i | ||||
\(67\) | −4.63129 | − | 2.28390i | −0.565803 | − | 0.279023i | 0.136808 | − | 0.990598i | \(-0.456316\pi\) |
−0.702611 | + | 0.711575i | \(0.747982\pi\) | |||||||
\(68\) | −15.1566 | + | 2.63202i | −1.83800 | + | 0.319179i | ||||
\(69\) | 0.183275 | + | 0.111133i | 0.0220637 | + | 0.0133788i | ||||
\(70\) | −1.29051 | + | 2.34507i | −0.154245 | + | 0.280289i | ||||
\(71\) | −1.65370 | − | 3.99239i | −0.196258 | − | 0.473810i | 0.794860 | − | 0.606793i | \(-0.207544\pi\) |
−0.991118 | + | 0.132983i | \(0.957544\pi\) | |||||||
\(72\) | 0.712128 | + | 8.45535i | 0.0839250 | + | 0.996472i | ||||
\(73\) | 0.479803 | − | 1.15835i | 0.0561567 | − | 0.135574i | −0.893311 | − | 0.449439i | \(-0.851624\pi\) |
0.949468 | + | 0.313865i | \(0.101624\pi\) | |||||||
\(74\) | −0.841880 | + | 0.673888i | −0.0978665 | + | 0.0783378i | ||||
\(75\) | −5.79051 | − | 6.04493i | −0.668630 | − | 0.698009i | ||||
\(76\) | −6.50402 | − | 6.82955i | −0.746062 | − | 0.783403i | ||||
\(77\) | −0.766615 | − | 2.25837i | −0.0873638 | − | 0.257366i | ||||
\(78\) | −1.01270 | − | 7.75047i | −0.114665 | − | 0.877568i | ||||
\(79\) | −3.00296 | − | 11.2072i | −0.337860 | − | 1.26091i | −0.900736 | − | 0.434368i | \(-0.856972\pi\) |
0.562876 | − | 0.826541i | \(-0.309695\pi\) | |||||||
\(80\) | 0.793860 | − | 1.42939i | 0.0887563 | − | 0.159811i | ||||
\(81\) | −8.15185 | + | 3.81410i | −0.905761 | + | 0.423789i | ||||
\(82\) | −4.06578 | + | 2.83905i | −0.448991 | + | 0.313520i | ||||
\(83\) | 6.07699 | + | 5.32938i | 0.667036 | + | 0.584975i | 0.924439 | − | 0.381329i | \(-0.124534\pi\) |
−0.257403 | + | 0.966304i | \(0.582867\pi\) | |||||||
\(84\) | 2.40409 | + | 15.8589i | 0.262307 | + | 1.73035i | ||||
\(85\) | −0.205632 | + | 3.13734i | −0.0223039 | + | 0.340292i | ||||
\(86\) | 2.63853 | + | 1.93991i | 0.284520 | + | 0.209186i | ||||
\(87\) | −4.82992 | + | 6.90259i | −0.517822 | + | 0.740035i | ||||
\(88\) | 0.462913 | + | 1.38132i | 0.0493467 | + | 0.147249i | ||||
\(89\) | 1.71193 | − | 0.709104i | 0.181464 | − | 0.0751649i | −0.290101 | − | 0.956996i | \(-0.593689\pi\) |
0.471566 | + | 0.881831i | \(0.343689\pi\) | |||||||
\(90\) | 1.71387 | + | 0.264931i | 0.180658 | + | 0.0279261i | ||||
\(91\) | −2.88257 | − | 14.4917i | −0.302175 | − | 1.51914i | ||||
\(92\) | −0.219234 | − | 0.114849i | −0.0228567 | − | 0.0119739i | ||||
\(93\) | 0.689714 | − | 4.49079i | 0.0715200 | − | 0.465673i | ||||
\(94\) | −8.70008 | − | 9.51921i | −0.897344 | − | 0.981832i | ||||
\(95\) | −1.66929 | + | 0.963763i | −0.171265 | + | 0.0988800i | ||||
\(96\) | −1.43084 | − | 9.69292i | −0.146034 | − | 0.989280i | ||||
\(97\) | −12.8071 | − | 7.39419i | −1.30036 | − | 0.750766i | −0.319898 | − | 0.947452i | \(-0.603649\pi\) |
−0.980467 | + | 0.196686i | \(0.936982\pi\) | |||||||
\(98\) | 4.39422 | + | 19.9433i | 0.443883 | + | 2.01458i | ||||
\(99\) | −1.20445 | + | 0.967953i | −0.121052 | + | 0.0972829i | ||||
\(100\) | 7.10944 | + | 6.54859i | 0.710944 | + | 0.654859i | ||||
\(101\) | −14.3889 | − | 4.88437i | −1.43175 | − | 0.486013i | −0.505466 | − | 0.862846i | \(-0.668679\pi\) |
−0.926281 | + | 0.376834i | \(0.877013\pi\) | |||||||
\(102\) | 10.4521 | + | 15.6757i | 1.03491 | + | 1.55212i | ||||
\(103\) | −12.1613 | − | 9.33166i | −1.19828 | − | 0.919476i | −0.200104 | − | 0.979775i | \(-0.564128\pi\) |
−0.998180 | + | 0.0602988i | \(0.980795\pi\) | |||||||
\(104\) | 1.72636 | + | 8.85890i | 0.169283 | + | 0.868687i | ||||
\(105\) | 3.26590 | + | 0.284666i | 0.318719 | + | 0.0277805i | ||||
\(106\) | −11.8296 | − | 1.31107i | −1.14899 | − | 0.127342i | ||||
\(107\) | −13.6996 | − | 9.15377i | −1.32439 | − | 0.884928i | −0.326213 | − | 0.945296i | \(-0.605773\pi\) |
−0.998176 | + | 0.0603681i | \(0.980773\pi\) | |||||||
\(108\) | 9.11931 | − | 4.98379i | 0.877506 | − | 0.479565i | ||||
\(109\) | −1.08032 | + | 5.43114i | −0.103476 | + | 0.520209i | 0.893929 | + | 0.448209i | \(0.147938\pi\) |
−0.997405 | + | 0.0719998i | \(0.977062\pi\) | |||||||
\(110\) | 0.296647 | − | 0.0255658i | 0.0282842 | − | 0.00243761i | ||||
\(111\) | 1.17170 | + | 0.609467i | 0.111213 | + | 0.0578480i | ||||
\(112\) | −3.91497 | − | 18.1030i | −0.369930 | − | 1.71057i | ||||
\(113\) | 6.12613 | + | 1.64149i | 0.576297 | + | 0.154418i | 0.535183 | − | 0.844736i | \(-0.320243\pi\) |
0.0411143 | + | 0.999154i | \(0.486909\pi\) | |||||||
\(114\) | −4.43062 | + | 10.6671i | −0.414966 | + | 0.999065i | ||||
\(115\) | −0.0333518 | + | 0.0380304i | −0.00311007 | + | 0.00354636i | ||||
\(116\) | 5.06811 | − | 8.30337i | 0.470562 | − | 0.770949i | ||||
\(117\) | −8.18089 | + | 4.97152i | −0.756324 | + | 0.459617i | ||||
\(118\) | 3.61510 | − | 9.26066i | 0.332797 | − | 0.852513i | ||||
\(119\) | 21.6813 | + | 28.2556i | 1.98752 | + | 2.59019i | ||||
\(120\) | −1.99426 | − | 0.181642i | −0.182050 | − | 0.0165816i | ||||
\(121\) | 6.53488 | − | 8.51642i | 0.594080 | − | 0.774220i | ||||
\(122\) | −3.99897 | + | 2.41955i | −0.362050 | + | 0.219055i | ||||
\(123\) | 5.19324 | + | 3.14904i | 0.468258 | + | 0.283939i | ||||
\(124\) | −0.470795 | + | 5.22516i | −0.0422786 | + | 0.469233i | ||||
\(125\) | 3.34194 | − | 2.23301i | 0.298912 | − | 0.199727i | ||||
\(126\) | 16.5753 | − | 10.5445i | 1.47664 | − | 0.939377i | ||||
\(127\) | 3.10930 | 0.275906 | 0.137953 | − | 0.990439i | \(-0.455948\pi\) | ||||
0.137953 | + | 0.990439i | \(0.455948\pi\) | |||||||
\(128\) | 2.34841 | + | 11.0673i | 0.207572 | + | 0.978220i | ||||
\(129\) | 0.866860 | − | 3.91614i | 0.0763228 | − | 0.344797i | ||||
\(130\) | 1.84278 | + | 0.0828511i | 0.161623 | + | 0.00726652i | ||||
\(131\) | −0.465733 | − | 0.229674i | −0.0406913 | − | 0.0200667i | 0.421829 | − | 0.906675i | \(-0.361388\pi\) |
−0.462521 | + | 0.886609i | \(0.653055\pi\) | |||||||
\(132\) | 1.31821 | − | 1.20243i | 0.114736 | − | 0.104658i | ||||
\(133\) | −7.01852 | + | 20.6759i | −0.608583 | + | 1.79283i | ||||
\(134\) | −0.149845 | − | 7.30122i | −0.0129446 | − | 0.630729i | ||||
\(135\) | −0.551716 | − | 2.05108i | −0.0474842 | − | 0.176529i | ||||
\(136\) | −13.1766 | − | 17.3111i | −1.12989 | − | 1.48442i | ||||
\(137\) | 3.56862 | + | 4.65071i | 0.304887 | + | 0.397337i | 0.920519 | − | 0.390697i | \(-0.127766\pi\) |
−0.615632 | + | 0.788034i | \(0.711099\pi\) | |||||||
\(138\) | −0.0201192 | + | 0.302450i | −0.00171266 | + | 0.0257462i | ||||
\(139\) | 17.1700 | + | 1.12538i | 1.45634 | + | 0.0954536i | 0.772889 | − | 0.634542i | \(-0.218811\pi\) |
0.683452 | + | 0.729995i | \(0.260478\pi\) | |||||||
\(140\) | −3.78430 | − | 0.0923899i | −0.319832 | − | 0.00780837i | ||||
\(141\) | −6.35643 | + | 14.4588i | −0.535308 | + | 1.21765i | ||||
\(142\) | 3.93433 | − | 4.67642i | 0.330161 | − | 0.392437i | ||||
\(143\) | −1.16219 | + | 1.16219i | −0.0971869 | + | 0.0971869i | ||||
\(144\) | −10.1499 | + | 6.40159i | −0.845821 | + | 0.533466i | ||||
\(145\) | −1.40586 | − | 1.40586i | −0.116751 | − | 0.116751i | ||||
\(146\) | 1.76657 | − | 0.152248i | 0.146203 | − | 0.0126001i | ||||
\(147\) | 20.1655 | − | 14.7960i | 1.66322 | − | 1.22035i | ||||
\(148\) | −1.39430 | − | 0.617825i | −0.114611 | − | 0.0507849i | ||||
\(149\) | −0.455816 | + | 6.95442i | −0.0373419 | + | 0.569728i | 0.937663 | + | 0.347545i | \(0.112985\pi\) |
−0.975005 | + | 0.222183i | \(0.928682\pi\) | |||||||
\(150\) | 3.81616 | − | 11.2062i | 0.311588 | − | 0.914984i | ||||
\(151\) | 0.908968 | − | 0.697476i | 0.0739708 | − | 0.0567598i | −0.571114 | − | 0.820871i | \(-0.693489\pi\) |
0.645085 | + | 0.764111i | \(0.276822\pi\) | |||||||
\(152\) | 4.33629 | − | 12.6129i | 0.351720 | − | 1.02305i | ||||
\(153\) | 12.3857 | − | 19.4694i | 1.00132 | − | 1.57400i | ||||
\(154\) | 2.33550 | − | 2.43338i | 0.188200 | − | 0.196087i | ||||
\(155\) | 1.01534 | + | 0.344662i | 0.0815543 | + | 0.0276839i | ||||
\(156\) | 9.06926 | − | 6.31974i | 0.726122 | − | 0.505984i | ||||
\(157\) | −10.5460 | + | 21.3852i | −0.841665 | + | 1.70673i | −0.144878 | + | 0.989449i | \(0.546279\pi\) |
−0.696787 | + | 0.717278i | \(0.745388\pi\) | |||||||
\(158\) | 12.1120 | − | 11.0697i | 0.963576 | − | 0.880660i | ||||
\(159\) | 4.38785 | + | 13.9008i | 0.347979 | + | 1.10241i | ||||
\(160\) | 2.31138 | + | 0.0654245i | 0.182730 | + | 0.00517226i | ||||
\(161\) | 0.572997i | 0.0451585i | ||||||||
\(162\) | −10.0977 | − | 7.74831i | −0.793351 | − | 0.608765i | ||||
\(163\) | −7.34628 | − | 10.9945i | −0.575405 | − | 0.861154i | 0.423596 | − | 0.905851i | \(-0.360768\pi\) |
−0.999001 | + | 0.0446970i | \(0.985768\pi\) | |||||||
\(164\) | −6.21215 | − | 3.25434i | −0.485088 | − | 0.254121i | ||||
\(165\) | −0.175502 | − | 0.319654i | −0.0136628 | − | 0.0248850i | ||||
\(166\) | −2.73134 | + | 11.0997i | −0.211993 | + | 0.861506i | ||||
\(167\) | −10.9110 | − | 8.37228i | −0.844316 | − | 0.647866i | 0.0932622 | − | 0.995642i | \(-0.470271\pi\) |
−0.937578 | + | 0.347775i | \(0.886937\pi\) | |||||||
\(168\) | −18.3412 | + | 13.3480i | −1.41505 | + | 1.02982i | ||||
\(169\) | 2.23523 | − | 1.71515i | 0.171940 | − | 0.131935i | ||||
\(170\) | −4.07215 | + | 1.78549i | −0.312319 | + | 0.136941i | ||||
\(171\) | 14.1430 | − | 0.317745i | 1.08154 | − | 0.0242986i | ||||
\(172\) | −0.716414 | + | 4.57569i | −0.0546260 | + | 0.348893i | ||||
\(173\) | 8.78136 | + | 7.70104i | 0.667634 | + | 0.585499i | 0.924608 | − | 0.380919i | \(-0.124392\pi\) |
−0.256974 | + | 0.966418i | \(0.582726\pi\) | |||||||
\(174\) | −11.8107 | − | 1.56661i | −0.895369 | − | 0.118764i | ||||
\(175\) | 5.79190 | − | 21.6157i | 0.437826 | − | 1.63399i | ||||
\(176\) | −1.43239 | + | 1.48085i | −0.107971 | + | 0.111623i | ||||
\(177\) | −12.1638 | + | 0.535018i | −0.914284 | + | 0.0402144i | ||||
\(178\) | 2.00524 | + | 1.68703i | 0.150299 | + | 0.126448i | ||||
\(179\) | −21.9568 | − | 4.36748i | −1.64113 | − | 0.326441i | −0.713703 | − | 0.700448i | \(-0.752984\pi\) |
−0.927426 | + | 0.374007i | \(0.877984\pi\) | |||||||
\(180\) | 0.783830 | + | 2.32394i | 0.0584233 | + | 0.173216i | ||||
\(181\) | 8.20812 | − | 12.2843i | 0.610105 | − | 0.913087i | −0.389865 | − | 0.920872i | \(-0.627478\pi\) |
0.999970 | + | 0.00778551i | \(0.00247823\pi\) | |||||||
\(182\) | 16.3133 | − | 13.0580i | 1.20922 | − | 0.967926i | ||||
\(183\) | 4.69023 | + | 3.28187i | 0.346712 | + | 0.242603i | ||||
\(184\) | 0.00136110 | − | 0.350008i | 0.000100342 | − | 0.0258029i | ||||
\(185\) | −0.189745 | + | 0.247281i | −0.0139503 | + | 0.0181804i | ||||
\(186\) | 6.08642 | − | 2.05946i | 0.446278 | − | 0.151007i | ||||
\(187\) | 1.27346 | − | 3.75148i | 0.0931243 | − | 0.274335i | ||||
\(188\) | 6.28207 | − | 17.1216i | 0.458167 | − | 1.24872i | ||||
\(189\) | −20.0182 | − | 13.3477i | −1.45611 | − | 0.970901i | ||||
\(190\) | −2.29713 | − | 1.46762i | −0.166651 | − | 0.106473i | ||||
\(191\) | −7.99150 | + | 13.8417i | −0.578245 | + | 1.00155i | 0.417436 | + | 0.908706i | \(0.362929\pi\) |
−0.995681 | + | 0.0928429i | \(0.970405\pi\) | |||||||
\(192\) | 11.2352 | − | 8.10990i | 0.810830 | − | 0.585282i | ||||
\(193\) | 9.08045 | + | 15.7278i | 0.653625 | + | 1.13211i | 0.982237 | + | 0.187647i | \(0.0600860\pi\) |
−0.328611 | + | 0.944465i | \(0.606581\pi\) | |||||||
\(194\) | 0.939336 | − | 20.8928i | 0.0674404 | − | 1.50002i | ||||
\(195\) | −0.819508 | − | 2.10535i | −0.0586862 | − | 0.150767i | ||||
\(196\) | −22.1719 | + | 18.5067i | −1.58371 | + | 1.32191i | ||||
\(197\) | 4.42646 | − | 0.880478i | 0.315372 | − | 0.0627314i | −0.0348663 | − | 0.999392i | \(-0.511101\pi\) |
0.350239 | + | 0.936661i | \(0.386101\pi\) | |||||||
\(198\) | −1.99960 | − | 0.881397i | −0.142105 | − | 0.0626381i | ||||
\(199\) | 9.56711 | + | 23.0971i | 0.678195 | + | 1.63731i | 0.767303 | + | 0.641285i | \(0.221598\pi\) |
−0.0891082 | + | 0.996022i | \(0.528402\pi\) | |||||||
\(200\) | −3.58926 | + | 13.1899i | −0.253799 | + | 0.932667i | ||||
\(201\) | −8.10480 | + | 3.78252i | −0.571669 | + | 0.266798i | ||||
\(202\) | −3.24150 | − | 21.2435i | −0.228071 | − | 1.49469i | ||||
\(203\) | −22.4736 | − | 1.47300i | −1.57734 | − | 0.103384i | ||||
\(204\) | −12.8688 | + | 23.3311i | −0.901000 | + | 1.63350i | ||||
\(205\) | −0.945048 | + | 1.07762i | −0.0660050 | + | 0.0752643i | ||||
\(206\) | 3.79208 | − | 21.3441i | 0.264207 | − | 1.48712i | ||||
\(207\) | 0.348772 | − | 0.127198i | 0.0242413 | − | 0.00884086i | ||||
\(208\) | −9.99577 | + | 7.93760i | −0.693082 | + | 0.550373i | ||||
\(209\) | 2.34605 | − | 0.628621i | 0.162279 | − | 0.0434826i | ||||
\(210\) | 1.77002 | + | 4.28500i | 0.122143 | + | 0.295693i | ||||
\(211\) | 13.4548 | − | 4.56728i | 0.926265 | − | 0.314425i | 0.182762 | − | 0.983157i | \(-0.441496\pi\) |
0.743503 | + | 0.668732i | \(0.233163\pi\) | |||||||
\(212\) | −6.05985 | − | 15.7033i | −0.416192 | − | 1.07851i | ||||
\(213\) | −7.18643 | − | 2.09213i | −0.492406 | − | 0.143351i | ||||
\(214\) | 2.56674 | − | 23.1593i | 0.175459 | − | 1.58314i | ||||
\(215\) | 0.874521 | + | 0.362238i | 0.0596418 | + | 0.0247045i | ||||
\(216\) | 12.1962 | + | 8.20082i | 0.829844 | + | 0.557995i | ||||
\(217\) | 11.2216 | − | 4.64815i | 0.761774 | − | 0.315537i | ||||
\(218\) | −7.52124 | + | 2.18167i | −0.509403 | + | 0.147761i | ||||
\(219\) | −1.04514 | − | 1.90358i | −0.0706240 | − | 0.128632i | ||||
\(220\) | 0.225323 | + | 0.355718i | 0.0151913 | + | 0.0239825i | ||||
\(221\) | 10.8557 | − | 22.0131i | 0.730232 | − | 1.48076i | ||||
\(222\) | −0.00181768 | + | 1.86779i | −0.000121995 | + | 0.125358i | ||||
\(223\) | −21.5161 | − | 12.4223i | −1.44082 | − | 0.831860i | −0.442919 | − | 0.896562i | \(-0.646057\pi\) |
−0.997905 | + | 0.0647022i | \(0.979390\pi\) | |||||||
\(224\) | 20.1740 | − | 16.7063i | 1.34793 | − | 1.11624i | ||||
\(225\) | −14.4428 | + | 1.27298i | −0.962850 | + | 0.0848654i | ||||
\(226\) | 1.92995 | + | 8.75917i | 0.128379 | + | 0.582652i | ||||
\(227\) | 5.48898 | − | 0.359767i | 0.364316 | − | 0.0238785i | 0.117854 | − | 0.993031i | \(-0.462399\pi\) |
0.246462 | + | 0.969152i | \(0.420732\pi\) | |||||||
\(228\) | −16.2761 | + | 1.38676i | −1.07791 | + | 0.0918406i | ||||
\(229\) | 16.1626 | − | 14.1743i | 1.06806 | − | 0.936661i | 0.0699131 | − | 0.997553i | \(-0.477728\pi\) |
0.998144 | + | 0.0608918i | \(0.0193945\pi\) | |||||||
\(230\) | −0.0694632 | − | 0.0170930i | −0.00458027 | − | 0.00112708i | ||||
\(231\) | −3.88218 | − | 1.41158i | −0.255429 | − | 0.0928749i | ||||
\(232\) | 13.7243 | + | 0.953148i | 0.901041 | + | 0.0625773i | ||||
\(233\) | 25.5356 | + | 10.5772i | 1.67289 | + | 0.692935i | 0.998948 | − | 0.0458474i | \(-0.0145988\pi\) |
0.673944 | + | 0.738782i | \(0.264599\pi\) | |||||||
\(234\) | −11.5695 | − | 7.03084i | −0.756322 | − | 0.459620i | ||||
\(235\) | −3.09925 | − | 2.07085i | −0.202172 | − | 0.135087i | ||||
\(236\) | 13.9794 | − | 1.49433i | 0.909983 | − | 0.0972726i | ||||
\(237\) | −18.3969 | − | 8.08774i | −1.19501 | − | 0.525355i | ||||
\(238\) | −21.3455 | + | 45.6211i | −1.38362 | + | 2.95718i | ||||
\(239\) | −4.91787 | + | 18.3537i | −0.318111 | + | 1.18720i | 0.602948 | + | 0.797781i | \(0.293993\pi\) |
−0.921059 | + | 0.389424i | \(0.872674\pi\) | |||||||
\(240\) | −1.07102 | − | 2.62165i | −0.0691340 | − | 0.169227i | ||||
\(241\) | 7.47851 | + | 27.9102i | 0.481733 | + | 1.79785i | 0.594342 | + | 0.804213i | \(0.297413\pi\) |
−0.112609 | + | 0.993639i | \(0.535921\pi\) | |||||||
\(242\) | 14.9471 | + | 2.65556i | 0.960836 | + | 0.170706i | ||||
\(243\) | −3.68069 | + | 15.1477i | −0.236116 | + | 0.971725i | ||||
\(244\) | −5.64205 | − | 3.44372i | −0.361195 | − | 0.220462i | ||||
\(245\) | 2.61067 | + | 5.29392i | 0.166790 | + | 0.338216i | ||||
\(246\) | −0.570093 | + | 8.57014i | −0.0363478 | + | 0.546412i | ||||
\(247\) | 14.9186 | − | 1.96407i | 0.949247 | − | 0.124971i | ||||
\(248\) | −6.86564 | + | 2.81261i | −0.435969 | + | 0.178601i | ||||
\(249\) | 13.7864 | − | 2.43550i | 0.873677 | − | 0.154344i | ||||
\(250\) | 4.97991 | + | 2.74048i | 0.314957 | + | 0.173323i | ||||
\(251\) | 29.5567 | − | 5.87918i | 1.86560 | − | 0.371091i | 0.872524 | − | 0.488571i | \(-0.162482\pi\) |
0.993075 | + | 0.117480i | \(0.0374817\pi\) | |||||||
\(252\) | 24.0330 | + | 13.9379i | 1.51394 | + | 0.878006i | ||||
\(253\) | 0.0529962 | − | 0.0354109i | 0.00333184 | − | 0.00222627i | ||||
\(254\) | 2.02535 | + | 3.90301i | 0.127082 | + | 0.244897i | ||||
\(255\) | 4.01617 | + | 3.67776i | 0.251502 | + | 0.230310i | ||||
\(256\) | −12.3627 | + | 10.1569i | −0.772669 | + | 0.634809i | ||||
\(257\) | 8.33211 | + | 14.4316i | 0.519743 | + | 0.900220i | 0.999737 | + | 0.0229488i | \(0.00730546\pi\) |
−0.479994 | + | 0.877272i | \(0.659361\pi\) | |||||||
\(258\) | 5.48047 | − | 1.46277i | 0.341199 | − | 0.0910682i | ||||
\(259\) | 0.230923 | + | 3.52321i | 0.0143489 | + | 0.218922i | ||||
\(260\) | 1.09636 | + | 2.36716i | 0.0679934 | + | 0.146805i | ||||
\(261\) | 4.09227 | + | 14.0062i | 0.253305 | + | 0.866965i | ||||
\(262\) | −0.0150687 | − | 0.734226i | −0.000930947 | − | 0.0453606i | ||||
\(263\) | 8.20236 | + | 1.07986i | 0.505779 | + | 0.0665871i | 0.379098 | − | 0.925356i | \(-0.376234\pi\) |
0.126681 | + | 0.991944i | \(0.459568\pi\) | |||||||
\(264\) | 2.36803 | + | 0.871466i | 0.145742 | + | 0.0536351i | ||||
\(265\) | −3.41069 | + | 0.449026i | −0.209517 | + | 0.0275835i | ||||
\(266\) | −30.5256 | + | 4.65783i | −1.87164 | + | 0.285590i | ||||
\(267\) | 0.897103 | − | 3.08152i | 0.0549018 | − | 0.188586i | ||||
\(268\) | 9.06738 | − | 4.94399i | 0.553878 | − | 0.302002i | ||||
\(269\) | −0.00902880 | − | 0.00179594i | −0.000550496 | − | 0.000109500i | 0.194815 | − | 0.980840i | \(-0.437589\pi\) |
−0.195366 | + | 0.980730i | \(0.562589\pi\) | |||||||
\(270\) | 2.21527 | − | 2.02859i | 0.134817 | − | 0.123456i | ||||
\(271\) | −4.89402 | + | 4.89402i | −0.297291 | + | 0.297291i | −0.839952 | − | 0.542661i | \(-0.817417\pi\) |
0.542661 | + | 0.839952i | \(0.317417\pi\) | |||||||
\(272\) | 13.1470 | − | 27.8164i | 0.797155 | − | 1.68662i | ||||
\(273\) | −22.7042 | − | 11.8098i | −1.37412 | − | 0.714759i | ||||
\(274\) | −3.51335 | + | 7.50897i | −0.212249 | + | 0.453634i | ||||
\(275\) | −2.35716 | + | 0.800148i | −0.142142 | + | 0.0482508i | ||||
\(276\) | −0.392761 | + | 0.171756i | −0.0236414 | + | 0.0103385i | ||||
\(277\) | −14.3169 | + | 7.06034i | −0.860222 | + | 0.424214i | −0.818222 | − | 0.574903i | \(-0.805040\pi\) |
−0.0420004 | + | 0.999118i | \(0.513373\pi\) | |||||||
\(278\) | 9.77162 | + | 22.2860i | 0.586063 | + | 1.33663i | ||||
\(279\) | −5.32029 | − | 5.79856i | −0.318518 | − | 0.347150i | ||||
\(280\) | −2.34906 | − | 4.81050i | −0.140383 | − | 0.287482i | ||||
\(281\) | −0.440762 | + | 3.34792i | −0.0262936 | + | 0.199720i | −0.999550 | − | 0.0300024i | \(-0.990448\pi\) |
0.973256 | + | 0.229722i | \(0.0737818\pi\) | |||||||
\(282\) | −22.2901 | + | 1.43919i | −1.32736 | + | 0.0857023i | ||||
\(283\) | −11.8521 | + | 10.3940i | −0.704531 | + | 0.617857i | −0.934760 | − | 0.355279i | \(-0.884386\pi\) |
0.230229 | + | 0.973136i | \(0.426053\pi\) | |||||||
\(284\) | 8.43292 | + | 1.89248i | 0.500402 | + | 0.112298i | ||||
\(285\) | −0.506809 | + | 3.29988i | −0.0300208 | + | 0.195468i | ||||
\(286\) | −2.21589 | − | 0.701825i | −0.131028 | − | 0.0414998i | ||||
\(287\) | 16.2363i | 0.958398i | ||||||||
\(288\) | −14.6472 | − | 8.57089i | −0.863093 | − | 0.505045i | ||||
\(289\) | 42.1623i | 2.48013i | ||||||||
\(290\) | 0.848978 | − | 2.68049i | 0.0498537 | − | 0.157404i | ||||
\(291\) | −23.8697 | + | 9.29128i | −1.39926 | + | 0.544664i | ||||
\(292\) | 1.34183 | + | 2.11835i | 0.0785246 | + | 0.123967i | ||||
\(293\) | 22.8718 | − | 20.0580i | 1.33618 | − | 1.17180i | 0.365674 | − | 0.930743i | \(-0.380838\pi\) |
0.970510 | − | 0.241059i | \(-0.0774949\pi\) | |||||||
\(294\) | 31.7084 | + | 15.6753i | 1.84927 | + | 0.914199i | ||||
\(295\) | 0.375054 | − | 2.84882i | 0.0218365 | − | 0.165865i | ||||
\(296\) | −0.132688 | − | 2.15266i | −0.00771231 | − | 0.125121i | ||||
\(297\) | 0.00259406 | + | 2.67636i | 0.000150522 | + | 0.155298i | ||||
\(298\) | −9.02657 | + | 3.95783i | −0.522895 | + | 0.229271i | ||||
\(299\) | 0.354157 | − | 0.174651i | 0.0204814 | − | 0.0101003i | ||||
\(300\) | 16.5526 | − | 2.50925i | 0.955665 | − | 0.144871i | ||||
\(301\) | 10.1536 | − | 3.44667i | 0.585242 | − | 0.198663i | ||||
\(302\) | 1.46761 | + | 0.686674i | 0.0844513 | + | 0.0395137i | ||||
\(303\) | −22.1927 | + | 14.1484i | −1.27494 | + | 0.812803i | ||||
\(304\) | 18.6572 | − | 2.77267i | 1.07007 | − | 0.159024i | ||||
\(305\) | −0.955268 | + | 0.955268i | −0.0546985 | + | 0.0546985i | ||||
\(306\) | 32.5071 | + | 2.86530i | 1.85831 | + | 0.163798i | ||||
\(307\) | 21.5391 | + | 4.28439i | 1.22930 | + | 0.244523i | 0.766678 | − | 0.642032i | \(-0.221908\pi\) |
0.462623 | + | 0.886555i | \(0.346908\pi\) | |||||||
\(308\) | 4.57585 | + | 1.34662i | 0.260733 | + | 0.0767308i | ||||
\(309\) | −25.7876 | + | 6.31901i | −1.46700 | + | 0.359476i | ||||
\(310\) | 0.228735 | + | 1.49903i | 0.0129913 | + | 0.0851395i | ||||
\(311\) | 6.44656 | − | 0.848705i | 0.365551 | − | 0.0481257i | 0.0544863 | − | 0.998515i | \(-0.482648\pi\) |
0.311064 | + | 0.950389i | \(0.399315\pi\) | |||||||
\(312\) | 13.8406 | + | 7.26778i | 0.783567 | + | 0.411457i | ||||
\(313\) | 25.2700 | + | 3.32686i | 1.42835 | + | 0.188045i | 0.804709 | − | 0.593669i | \(-0.202321\pi\) |
0.623636 | + | 0.781715i | \(0.285655\pi\) | |||||||
\(314\) | −33.7137 | + | 0.691915i | −1.90258 | + | 0.0390470i | ||||
\(315\) | 3.92386 | − | 4.10423i | 0.221085 | − | 0.231247i | ||||
\(316\) | 21.7850 | + | 7.99312i | 1.22550 | + | 0.449648i | ||||
\(317\) | 0.335445 | + | 5.11790i | 0.0188405 | + | 0.287450i | 0.996874 | + | 0.0790038i | \(0.0251739\pi\) |
−0.978034 | + | 0.208446i | \(0.933159\pi\) | |||||||
\(318\) | −14.5911 | + | 14.5627i | −0.818227 | + | 0.816636i | ||||
\(319\) | 1.25262 | + | 2.16961i | 0.0701335 | + | 0.121475i | ||||
\(320\) | 1.42347 | + | 2.94401i | 0.0795744 | + | 0.164575i | ||||
\(321\) | −27.2143 | + | 8.59030i | −1.51895 | + | 0.479464i | ||||
\(322\) | −0.719264 | + | 0.373241i | −0.0400830 | + | 0.0207999i | ||||
\(323\) | −30.1578 | + | 20.1508i | −1.67802 | + | 1.12122i | ||||
\(324\) | 3.14871 | − | 17.7225i | 0.174928 | − | 0.984581i | ||||
\(325\) | −15.1256 | + | 3.00866i | −0.839015 | + | 0.166890i | ||||
\(326\) | 9.01577 | − | 16.3832i | 0.499337 | − | 0.907381i | ||||
\(327\) | 6.16755 | + | 7.34538i | 0.341066 | + | 0.406200i | ||||
\(328\) | 0.0385678 | − | 9.91774i | 0.00212955 | − | 0.547616i | ||||
\(329\) | −41.8624 | + | 5.51129i | −2.30795 | + | 0.303847i | ||||
\(330\) | 0.286932 | − | 0.428520i | 0.0157951 | − | 0.0235893i | ||||
\(331\) | −8.37402 | − | 16.9808i | −0.460278 | − | 0.933351i | −0.996034 | − | 0.0889783i | \(-0.971640\pi\) |
0.535756 | − | 0.844373i | \(-0.320027\pi\) | |||||||
\(332\) | −15.7123 | + | 3.80162i | −0.862323 | + | 0.208641i | ||||
\(333\) | 2.09325 | − | 0.922665i | 0.114709 | − | 0.0505617i | ||||
\(334\) | 3.40222 | − | 19.1498i | 0.186161 | − | 1.04783i | ||||
\(335\) | −0.546308 | − | 2.03885i | −0.0298480 | − | 0.111394i | ||||
\(336\) | −28.7025 | − | 14.3284i | −1.56585 | − | 0.781679i | ||||
\(337\) | 2.43041 | − | 9.07041i | 0.132393 | − | 0.494097i | −0.867602 | − | 0.497259i | \(-0.834340\pi\) |
0.999995 | + | 0.00316228i | \(0.00100659\pi\) | |||||||
\(338\) | 3.60896 | + | 1.68859i | 0.196302 | + | 0.0918470i | ||||
\(339\) | 8.85675 | − | 6.49844i | 0.481033 | − | 0.352947i | ||||
\(340\) | −4.89380 | − | 3.94859i | −0.265404 | − | 0.214143i | ||||
\(341\) | −1.12340 | − | 0.750630i | −0.0608354 | − | 0.0406489i | ||||
\(342\) | 9.61140 | + | 17.5463i | 0.519725 | + | 0.948796i | ||||
\(343\) | 31.8290 | + | 13.1840i | 1.71861 | + | 0.711870i | ||||
\(344\) | −6.21037 | + | 2.08124i | −0.334841 | + | 0.112213i | ||||
\(345\) | 0.0152416 | + | 0.0862767i | 0.000820583 | + | 0.00464498i | ||||
\(346\) | −3.94683 | + | 16.0393i | −0.212183 | + | 0.862278i | ||||
\(347\) | −1.74805 | + | 1.53300i | −0.0938404 | + | 0.0822958i | −0.704981 | − | 0.709226i | \(-0.749044\pi\) |
0.611140 | + | 0.791522i | \(0.290711\pi\) | |||||||
\(348\) | −5.72682 | − | 15.8461i | −0.306990 | − | 0.849440i | ||||
\(349\) | −15.6891 | + | 1.02832i | −0.839816 | + | 0.0550445i | −0.479239 | − | 0.877685i | \(-0.659087\pi\) |
−0.360578 | + | 0.932729i | \(0.617420\pi\) | |||||||
\(350\) | 30.9062 | − | 6.80972i | 1.65201 | − | 0.363995i | ||||
\(351\) | −2.14832 | + | 16.4412i | −0.114669 | + | 0.877568i | ||||
\(352\) | −2.79191 | − | 0.833436i | −0.148809 | − | 0.0444223i | ||||
\(353\) | −24.3679 | − | 14.0688i | −1.29697 | − | 0.748806i | −0.317091 | − | 0.948395i | \(-0.602706\pi\) |
−0.979880 | + | 0.199589i | \(0.936039\pi\) | |||||||
\(354\) | −8.59487 | − | 14.9203i | −0.456812 | − | 0.793003i | ||||
\(355\) | 0.781256 | − | 1.58423i | 0.0414648 | − | 0.0840822i | ||||
\(356\) | −0.811493 | + | 3.61602i | −0.0430091 | + | 0.191649i | ||||
\(357\) | 61.6735 | + | 1.32579i | 3.26411 | + | 0.0701680i | ||||
\(358\) | −8.81997 | − | 30.4066i | −0.466150 | − | 1.60704i | ||||
\(359\) | 7.61009 | − | 3.15220i | 0.401645 | − | 0.166367i | −0.172711 | − | 0.984973i | \(-0.555253\pi\) |
0.574356 | + | 0.818606i | \(0.305253\pi\) | |||||||
\(360\) | −2.40659 | + | 2.49770i | −0.126839 | + | 0.131640i | ||||
\(361\) | −2.98990 | − | 1.23846i | −0.157363 | − | 0.0651819i | ||||
\(362\) | 20.7668 | + | 2.30158i | 1.09148 | + | 0.120968i | ||||
\(363\) | −4.42514 | − | 18.0588i | −0.232260 | − | 0.947841i | ||||
\(364\) | 27.0175 | + | 11.9717i | 1.41610 | + | 0.627488i | ||||
\(365\) | 0.485301 | − | 0.164737i | 0.0254018 | − | 0.00862275i | ||||
\(366\) | −1.06449 | + | 8.02526i | −0.0556419 | + | 0.419487i | ||||
\(367\) | −8.59191 | + | 2.30220i | −0.448494 | + | 0.120174i | −0.475995 | − | 0.879448i | \(-0.657912\pi\) |
0.0275006 | + | 0.999622i | \(0.491245\pi\) | |||||||
\(368\) | 0.440241 | − | 0.226281i | 0.0229491 | − | 0.0117957i | ||||
\(369\) | 9.88271 | − | 3.60424i | 0.514473 | − | 0.187629i | ||||
\(370\) | −0.434000 | − | 0.0771062i | −0.0225626 | − | 0.00400856i | ||||
\(371\) | −25.6941 | + | 29.2985i | −1.33397 | + | 1.52110i | ||||
\(372\) | 6.54977 | + | 6.29859i | 0.339590 | + | 0.326567i | ||||
\(373\) | −0.558090 | − | 0.0365792i | −0.0288968 | − | 0.00189400i | 0.0509479 | − | 0.998701i | \(-0.483776\pi\) |
−0.0798447 | + | 0.996807i | \(0.525442\pi\) | |||||||
\(374\) | 5.53862 | − | 0.845128i | 0.286395 | − | 0.0437005i | ||||
\(375\) | 0.604508 | − | 6.93536i | 0.0312166 | − | 0.358140i | ||||
\(376\) | 25.5842 | − | 3.26706i | 1.31941 | − | 0.168486i | ||||
\(377\) | 5.93959 | + | 14.3394i | 0.305905 | + | 0.738519i | ||||
\(378\) | 3.71538 | − | 33.8227i | 0.191098 | − | 1.73965i | ||||
\(379\) | −8.01949 | + | 1.59518i | −0.411934 | + | 0.0819387i | −0.396707 | − | 0.917945i | \(-0.629847\pi\) |
−0.0152268 | + | 0.999884i | \(0.504847\pi\) | |||||||
\(380\) | 0.345945 | − | 3.83950i | 0.0177466 | − | 0.196962i | ||||
\(381\) | 3.36954 | − | 4.20114i | 0.172627 | − | 0.215231i | ||||
\(382\) | −22.5806 | − | 1.01522i | −1.15532 | − | 0.0519430i | ||||
\(383\) | −4.62028 | − | 8.00257i | −0.236086 | − | 0.408912i | 0.723502 | − | 0.690322i | \(-0.242531\pi\) |
−0.959588 | + | 0.281410i | \(0.909198\pi\) | |||||||
\(384\) | 17.4985 | + | 8.82051i | 0.892968 | + | 0.450120i | ||||
\(385\) | 0.487436 | − | 0.844264i | 0.0248420 | − | 0.0430277i | ||||
\(386\) | −13.8277 | + | 21.6432i | −0.703814 | + | 1.10161i | ||||
\(387\) | −4.35188 | − | 5.41516i | −0.221219 | − | 0.275268i | ||||
\(388\) | 26.8380 | − | 12.4301i | 1.36249 | − | 0.631045i | ||||
\(389\) | 9.22458 | − | 27.1747i | 0.467705 | − | 1.37781i | −0.415828 | − | 0.909443i | \(-0.636508\pi\) |
0.883532 | − | 0.468370i | \(-0.155159\pi\) | |||||||
\(390\) | 2.10896 | − | 2.40009i | 0.106791 | − | 0.121533i | ||||
\(391\) | −0.579437 | + | 0.755136i | −0.0293034 | + | 0.0381889i | ||||
\(392\) | −37.6733 | − | 15.7767i | −1.90279 | − | 0.796845i | ||||
\(393\) | −0.815037 | + | 0.380378i | −0.0411132 | + | 0.0191876i | ||||
\(394\) | 3.98856 | + | 4.98286i | 0.200941 | + | 0.251033i | ||||
\(395\) | 2.63489 | − | 3.94339i | 0.132576 | − | 0.198413i | ||||
\(396\) | −0.196119 | − | 3.08416i | −0.00985534 | − | 0.154985i | ||||
\(397\) | 14.7320 | + | 2.93038i | 0.739379 | + | 0.147072i | 0.550390 | − | 0.834907i | \(-0.314479\pi\) |
0.188989 | + | 0.981979i | \(0.439479\pi\) | |||||||
\(398\) | −22.7611 | + | 27.0544i | −1.14091 | + | 1.35611i | ||||
\(399\) | 20.3303 | + | 31.8894i | 1.01779 | + | 1.59647i | ||||
\(400\) | −18.8949 | + | 4.08622i | −0.944743 | + | 0.204311i | ||||
\(401\) | 2.18072 | − | 8.13857i | 0.108900 | − | 0.406421i | −0.889858 | − | 0.456237i | \(-0.849197\pi\) |
0.998758 | + | 0.0498163i | \(0.0158636\pi\) | |||||||
\(402\) | −10.0274 | − | 7.70983i | −0.500122 | − | 0.384531i | ||||
\(403\) | −6.29330 | − | 5.51908i | −0.313492 | − | 0.274925i | ||||
\(404\) | 24.5548 | − | 17.9066i | 1.22165 | − | 0.890889i | ||||
\(405\) | −3.36921 | − | 1.47729i | −0.167417 | − | 0.0734072i | ||||
\(406\) | −12.7900 | − | 29.1699i | −0.634756 | − | 1.44768i | ||||
\(407\) | 0.311589 | − | 0.239091i | 0.0154449 | − | 0.0118513i | ||||
\(408\) | −37.6694 | − | 0.956340i | −1.86491 | − | 0.0473459i | ||||
\(409\) | 26.7324 | + | 20.5125i | 1.32183 | + | 1.01428i | 0.997667 | + | 0.0682752i | \(0.0217496\pi\) |
0.324164 | + | 0.946001i | \(0.394917\pi\) | |||||||
\(410\) | −1.96829 | − | 0.484343i | −0.0972071 | − | 0.0239200i | ||||
\(411\) | 10.1511 | + | 0.218217i | 0.500717 | + | 0.0107638i | ||||
\(412\) | 29.2627 | − | 9.14316i | 1.44167 | − | 0.450451i | ||||
\(413\) | −18.0834 | − | 27.0638i | −0.889828 | − | 1.33172i | ||||
\(414\) | 0.386852 | + | 0.354947i | 0.0190127 | + | 0.0174447i | ||||
\(415\) | 3.30394i | 0.162184i | ||||||||
\(416\) | −16.4749 | − | 7.37695i | −0.807749 | − | 0.361685i | ||||
\(417\) | 20.1276 | − | 21.9797i | 0.985653 | − | 1.07635i | ||||
\(418\) | 2.31727 | + | 2.53544i | 0.113341 | + | 0.124013i | ||||
\(419\) | 9.58618 | − | 19.4388i | 0.468315 | − | 0.949650i | −0.526712 | − | 0.850044i | \(-0.676575\pi\) |
0.995027 | − | 0.0996055i | \(-0.0317581\pi\) | |||||||
\(420\) | −4.22586 | + | 5.01304i | −0.206201 | + | 0.244611i | ||||
\(421\) | −18.6872 | − | 6.34344i | −0.910758 | − | 0.309161i | −0.173549 | − | 0.984825i | \(-0.555523\pi\) |
−0.737209 | + | 0.675665i | \(0.763857\pi\) | |||||||
\(422\) | 14.4974 | + | 13.9143i | 0.705722 | + | 0.677338i | ||||
\(423\) | 12.6475 | + | 24.2574i | 0.614944 | + | 1.17943i | ||||
\(424\) | 15.7645 | − | 17.8356i | 0.765593 | − | 0.866174i | ||||
\(425\) | 29.4916 | − | 22.6297i | 1.43055 | − | 1.09770i | ||||
\(426\) | −2.05494 | − | 10.3837i | −0.0995621 | − | 0.503091i | ||||
\(427\) | −1.00089 | + | 15.2706i | −0.0484363 | + | 0.738995i | ||||
\(428\) | 30.7430 | − | 11.8637i | 1.48602 | − | 0.573451i | ||||
\(429\) | 0.310832 | + | 2.82974i | 0.0150071 | + | 0.136621i | ||||
\(430\) | 0.114943 | + | 1.33371i | 0.00554305 | + | 0.0643174i | ||||
\(431\) | 15.2721 | + | 15.2721i | 0.735633 | + | 0.735633i | 0.971730 | − | 0.236097i | \(-0.0758682\pi\) |
−0.236097 | + | 0.971730i | \(0.575868\pi\) | |||||||
\(432\) | −2.34984 | + | 20.6514i | −0.113057 | + | 0.993589i | ||||
\(433\) | 1.72221 | − | 1.72221i | 0.0827643 | − | 0.0827643i | −0.664513 | − | 0.747277i | \(-0.731361\pi\) |
0.747277 | + | 0.664513i | \(0.231361\pi\) | |||||||
\(434\) | 13.1443 | + | 11.0584i | 0.630945 | + | 0.530821i | ||||
\(435\) | −3.42306 | + | 0.376005i | −0.164123 | + | 0.0180281i | ||||
\(436\) | −7.63780 | − | 8.02007i | −0.365784 | − | 0.384092i | ||||
\(437\) | −0.582286 | − | 0.0381650i | −0.0278545 | − | 0.00182568i | ||||
\(438\) | 1.70872 | − | 2.55189i | 0.0816456 | − | 0.121934i | ||||
\(439\) | −6.32898 | − | 8.24809i | −0.302066 | − | 0.393660i | 0.617516 | − | 0.786558i | \(-0.288139\pi\) |
−0.919582 | + | 0.392898i | \(0.871472\pi\) | |||||||
\(440\) | −0.299750 | + | 0.514551i | −0.0142900 | + | 0.0245302i | ||||
\(441\) | 1.86167 | − | 43.2810i | 0.0886509 | − | 2.06100i | ||||
\(442\) | 34.7036 | − | 0.712230i | 1.65068 | − | 0.0338773i | ||||
\(443\) | −7.36395 | + | 21.6935i | −0.349872 | + | 1.03069i | 0.619480 | + | 0.785012i | \(0.287343\pi\) |
−0.969352 | + | 0.245676i | \(0.920990\pi\) | |||||||
\(444\) | −2.34577 | + | 1.21437i | −0.111325 | + | 0.0576315i | ||||
\(445\) | 0.679315 | + | 0.335001i | 0.0322026 | + | 0.0158806i | ||||
\(446\) | 1.57809 | − | 35.1002i | 0.0747249 | − | 1.66204i | ||||
\(447\) | 8.90249 | + | 8.15234i | 0.421073 | + | 0.385592i | ||||
\(448\) | 34.1119 | + | 14.4415i | 1.61164 | + | 0.682295i | ||||
\(449\) | −12.0380 | −0.568110 | −0.284055 | − | 0.958808i | \(-0.591680\pi\) | ||||
−0.284055 | + | 0.958808i | \(0.591680\pi\) | |||||||
\(450\) | −11.0057 | − | 17.3003i | −0.518815 | − | 0.815545i | ||||
\(451\) | 1.50169 | − | 1.00340i | 0.0707117 | − | 0.0472481i | ||||
\(452\) | −9.73797 | + | 8.12820i | −0.458036 | + | 0.382318i | ||||
\(453\) | 0.0426498 | − | 1.98400i | 0.00200386 | − | 0.0932166i | ||||
\(454\) | 4.02704 | + | 6.65579i | 0.188998 | + | 0.312372i | ||||
\(455\) | 3.67672 | − | 4.79160i | 0.172367 | − | 0.224634i | ||||
\(456\) | −12.3428 | − | 19.5276i | −0.578003 | − | 0.914462i | ||||
\(457\) | −11.1635 | − | 14.5486i | −0.522209 | − | 0.680555i | 0.455569 | − | 0.890200i | \(-0.349436\pi\) |
−0.977778 | + | 0.209645i | \(0.932769\pi\) | |||||||
\(458\) | 28.3206 | + | 11.0556i | 1.32333 | + | 0.516592i | ||||
\(459\) | −12.8837 | − | 37.8337i | −0.601361 | − | 1.76593i | ||||
\(460\) | −0.0237910 | − | 0.0983291i | −0.00110926 | − | 0.00458462i | ||||
\(461\) | 12.1419 | − | 13.8452i | 0.565503 | − | 0.644833i | −0.396447 | − | 0.918058i | \(-0.629757\pi\) |
0.961950 | + | 0.273225i | \(0.0880903\pi\) | |||||||
\(462\) | −0.756883 | − | 5.79265i | −0.0352134 | − | 0.269499i | ||||
\(463\) | −20.7209 | − | 5.55214i | −0.962980 | − | 0.258030i | −0.257119 | − | 0.966380i | \(-0.582773\pi\) |
−0.705861 | + | 0.708350i | \(0.749440\pi\) | |||||||
\(464\) | 7.74331 | + | 17.8485i | 0.359474 | + | 0.828595i | ||||
\(465\) | 1.56601 | − | 0.998371i | 0.0726221 | − | 0.0462983i | ||||
\(466\) | 3.35628 | + | 38.9438i | 0.155477 | + | 1.80404i | ||||
\(467\) | 3.79833 | − | 19.0955i | 0.175766 | − | 0.883633i | −0.787753 | − | 0.615991i | \(-0.788756\pi\) |
0.963518 | − | 0.267642i | \(-0.0862444\pi\) | |||||||
\(468\) | 1.28940 | − | 19.1026i | 0.0596023 | − | 0.883018i | ||||
\(469\) | −19.8808 | − | 13.2839i | −0.918010 | − | 0.613394i | ||||
\(470\) | 0.580671 | − | 5.23930i | 0.0267844 | − | 0.241671i | ||||
\(471\) | 17.4660 | + | 37.4243i | 0.804790 | + | 1.72442i | ||||
\(472\) | 10.9818 | + | 16.5745i | 0.505477 | + | 0.762905i | ||||
\(473\) | −0.946268 | − | 0.726097i | −0.0435094 | − | 0.0333860i | ||||
\(474\) | −1.83118 | − | 28.3613i | −0.0841089 | − | 1.30268i | ||||
\(475\) | 21.5803 | + | 7.32553i | 0.990173 | + | 0.336118i | ||||
\(476\) | −71.1709 | + | 2.92255i | −3.26211 | + | 0.133955i | ||||
\(477\) | 23.5372 | + | 9.13560i | 1.07769 | + | 0.418290i | ||||
\(478\) | −26.2423 | + | 5.78210i | −1.20029 | + | 0.264467i | ||||
\(479\) | −25.0679 | − | 14.4729i | −1.14538 | − | 0.661285i | −0.197623 | − | 0.980278i | \(-0.563322\pi\) |
−0.947757 | + | 0.318993i | \(0.896655\pi\) | |||||||
\(480\) | 2.59323 | − | 3.05212i | 0.118364 | − | 0.139309i | ||||
\(481\) | 2.10723 | − | 1.21661i | 0.0960816 | − | 0.0554727i | ||||
\(482\) | −30.1634 | + | 27.5678i | −1.37390 | + | 1.25568i | ||||
\(483\) | 0.774204 | + | 0.620953i | 0.0352275 | + | 0.0282544i | ||||
\(484\) | 6.40287 | + | 20.4924i | 0.291040 | + | 0.931473i | ||||
\(485\) | −1.17930 | − | 5.92876i | −0.0535495 | − | 0.269211i | ||||
\(486\) | −21.4120 | + | 5.24672i | −0.971266 | + | 0.237996i | ||||
\(487\) | −21.5101 | + | 8.90979i | −0.974717 | + | 0.403741i | −0.812466 | − | 0.583008i | \(-0.801875\pi\) |
−0.162251 | + | 0.986749i | \(0.551875\pi\) | |||||||
\(488\) | 0.647653 | − | 9.32547i | 0.0293179 | − | 0.422144i | ||||
\(489\) | −22.8163 | − | 1.98874i | −1.03179 | − | 0.0899340i | ||||
\(490\) | −4.94474 | + | 6.72547i | −0.223381 | + | 0.303826i | ||||
\(491\) | 0.619749 | − | 9.45555i | 0.0279689 | − | 0.426723i | −0.960797 | − | 0.277252i | \(-0.910576\pi\) |
0.988766 | − | 0.149471i | \(-0.0477570\pi\) | |||||||
\(492\) | −11.1292 | + | 4.86684i | −0.501742 | + | 0.219414i | ||||
\(493\) | −28.1278 | − | 24.6674i | −1.26681 | − | 1.11097i | ||||
\(494\) | 12.1832 | + | 17.4475i | 0.548147 | + | 0.784999i | ||||
\(495\) | −0.622091 | − | 0.109277i | −0.0279609 | − | 0.00491164i | ||||
\(496\) | −8.00275 | − | 6.78613i | −0.359334 | − | 0.304706i | ||||
\(497\) | −5.17881 | − | 19.3276i | −0.232301 | − | 0.866960i | ||||
\(498\) | 12.0374 | + | 15.7192i | 0.539411 | + | 0.704392i | ||||
\(499\) | 12.4220 | + | 36.5940i | 0.556084 | + | 1.63817i | 0.753200 | + | 0.657791i | \(0.228509\pi\) |
−0.197116 | + | 0.980380i | \(0.563158\pi\) | |||||||
\(500\) | −0.196196 | + | 8.03623i | −0.00877417 | + | 0.359391i | ||||
\(501\) | −23.1364 | + | 5.66935i | −1.03366 | + | 0.253288i | ||||
\(502\) | 26.6327 | + | 33.2719i | 1.18868 | + | 1.48500i | ||||
\(503\) | 13.8893 | − | 33.5318i | 0.619294 | − | 1.49511i | −0.233232 | − | 0.972421i | \(-0.574930\pi\) |
0.852525 | − | 0.522686i | \(-0.175070\pi\) | |||||||
\(504\) | −1.84108 | + | 39.2468i | −0.0820081 | + | 1.74819i | ||||
\(505\) | −2.37694 | − | 5.73844i | −0.105772 | − | 0.255357i | ||||
\(506\) | 0.0789711 | + | 0.0434583i | 0.00351070 | + | 0.00193196i | ||||
\(507\) | 0.104879 | − | 4.87882i | 0.00465785 | − | 0.216676i | ||||
\(508\) | −3.58004 | + | 5.08472i | −0.158839 | + | 0.225598i | ||||
\(509\) | −27.9369 | − | 13.7769i | −1.23828 | − | 0.610652i | −0.299147 | − | 0.954207i | \(-0.596702\pi\) |
−0.939133 | + | 0.343555i | \(0.888369\pi\) | |||||||
\(510\) | −2.00050 | + | 7.43701i | −0.0885836 | + | 0.329316i | ||||
\(511\) | 2.90275 | − | 5.02770i | 0.128410 | − | 0.222412i | ||||
\(512\) | −20.8026 | − | 8.90243i | −0.919352 | − | 0.393435i | ||||
\(513\) | 14.8974 | − | 19.4537i | 0.657736 | − | 0.858901i | ||||
\(514\) | −12.6882 | + | 19.8596i | −0.559651 | + | 0.875968i | ||||
\(515\) | −0.409808 | − | 6.25246i | −0.0180583 | − | 0.275516i | ||||
\(516\) | 5.40606 | + | 5.92663i | 0.237989 | + | 0.260905i | ||||
\(517\) | 3.09682 | + | 3.53124i | 0.136198 | + | 0.155304i | ||||
\(518\) | −4.27215 | + | 2.58483i | −0.187708 | + | 0.113571i | ||||
\(519\) | 19.9216 | − | 3.51935i | 0.874460 | − | 0.154482i | ||||
\(520\) | −2.25726 | + | 2.91816i | −0.0989876 | + | 0.127970i | ||||
\(521\) | 3.27182 | − | 7.89887i | 0.143341 | − | 0.346056i | −0.835862 | − | 0.548940i | \(-0.815032\pi\) |
0.979203 | + | 0.202884i | \(0.0650315\pi\) | |||||||
\(522\) | −14.9159 | + | 14.2603i | −0.652853 | + | 0.624158i | ||||
\(523\) | −12.8800 | + | 19.2763i | −0.563205 | + | 0.842896i | −0.998347 | − | 0.0574658i | \(-0.981698\pi\) |
0.435143 | + | 0.900362i | \(0.356698\pi\) | |||||||
\(524\) | 0.911835 | − | 0.497179i | 0.0398337 | − | 0.0217194i | ||||
\(525\) | −22.9293 | − | 31.2505i | −1.00072 | − | 1.36388i | ||||
\(526\) | 3.98737 | + | 10.9996i | 0.173858 | + | 0.479604i | ||||
\(527\) | 19.4891 | + | 5.22208i | 0.848957 | + | 0.227477i | ||||
\(528\) | 0.448573 | + | 3.54017i | 0.0195216 | + | 0.154066i | ||||
\(529\) | 22.2015 | − | 5.94887i | 0.965283 | − | 0.258647i | ||||
\(530\) | −2.78532 | − | 3.98885i | −0.120987 | − | 0.173264i | ||||
\(531\) | −12.4589 | + | 17.0148i | −0.540670 | + | 0.738381i | ||||
\(532\) | −25.7307 | − | 35.2837i | −1.11557 | − | 1.52974i | ||||
\(533\) | 10.0353 | − | 4.94886i | 0.434677 | − | 0.214359i | ||||
\(534\) | 4.45250 | − | 0.881153i | 0.192678 | − | 0.0381312i | ||||
\(535\) | −0.879080 | − | 6.67727i | −0.0380059 | − | 0.288684i | ||||
\(536\) | 12.1124 | + | 8.16155i | 0.523175 | + | 0.352525i | ||||
\(537\) | −29.6956 | + | 24.9339i | −1.28146 | + | 1.07598i | ||||
\(538\) | −0.00362683 | − | 0.0125034i | −0.000156364 | − | 0.000539060i | ||||
\(539\) | −1.45103 | − | 7.29480i | −0.0625001 | − | 0.314209i | ||||
\(540\) | 3.98942 | + | 1.45937i | 0.171677 | + | 0.0628013i | ||||
\(541\) | −4.85790 | − | 7.27036i | −0.208857 | − | 0.312577i | 0.712220 | − | 0.701956i | \(-0.247690\pi\) |
−0.921078 | + | 0.389379i | \(0.872690\pi\) | |||||||
\(542\) | −9.33120 | − | 2.95542i | −0.400809 | − | 0.126946i | ||||
\(543\) | −7.70286 | − | 24.4029i | −0.330561 | − | 1.04723i | ||||
\(544\) | 43.4808 | − | 1.61614i | 1.86422 | − | 0.0692915i | ||||
\(545\) | −1.96028 | + | 1.13177i | −0.0839691 | + | 0.0484796i | ||||
\(546\) | 0.0352215 | − | 36.1926i | 0.00150734 | − | 1.54890i | ||||
\(547\) | 29.2986 | − | 1.92033i | 1.25272 | − | 0.0821074i | 0.575445 | − | 0.817840i | \(-0.304829\pi\) |
0.677272 | + | 0.735733i | \(0.263162\pi\) | |||||||
\(548\) | −11.7143 | + | 0.481034i | −0.500411 | + | 0.0205488i | ||||
\(549\) | 9.51708 | − | 2.78065i | 0.406179 | − | 0.118675i | ||||
\(550\) | −2.53982 | − | 2.43766i | −0.108298 | − | 0.103942i | ||||
\(551\) | 2.99376 | − | 22.7399i | 0.127538 | − | 0.968751i | ||||
\(552\) | −0.471438 | − | 0.381141i | −0.0200657 | − | 0.0162224i | ||||
\(553\) | −7.01240 | − | 53.2645i | −0.298198 | − | 2.26504i | ||||
\(554\) | −18.1885 | − | 13.3726i | −0.772753 | − | 0.568148i | ||||
\(555\) | 0.128487 | + | 0.524351i | 0.00545398 | + | 0.0222574i | ||||
\(556\) | −21.6098 | + | 26.7828i | −0.916462 | + | 1.13584i | ||||
\(557\) | 3.62769 | − | 18.2376i | 0.153710 | − | 0.772753i | −0.824618 | − | 0.565690i | \(-0.808610\pi\) |
0.978328 | − | 0.207062i | \(-0.0663903\pi\) | |||||||
\(558\) | 3.81318 | − | 10.4555i | 0.161425 | − | 0.442616i | ||||
\(559\) | −5.22515 | − | 5.22515i | −0.221000 | − | 0.221000i | ||||
\(560\) | 4.50832 | − | 6.08219i | 0.190511 | − | 0.257019i | ||||
\(561\) | −3.68877 | − | 5.78609i | −0.155740 | − | 0.244289i | ||||
\(562\) | −4.48964 | + | 1.62751i | −0.189384 | + | 0.0686523i | ||||
\(563\) | 3.57992 | + | 10.5461i | 0.150876 | + | 0.444465i | 0.995921 | − | 0.0902295i | \(-0.0287601\pi\) |
−0.845045 | + | 0.534694i | \(0.820427\pi\) | |||||||
\(564\) | −16.3260 | − | 27.0426i | −0.687449 | − | 1.13870i | ||||
\(565\) | 1.14662 | + | 2.32511i | 0.0482385 | + | 0.0978179i | ||||
\(566\) | −20.7675 | − | 8.10703i | −0.872922 | − | 0.340764i | ||||
\(567\) | −39.7283 | + | 12.5828i | −1.66843 | + | 0.528426i | ||||
\(568\) | 3.11750 | + | 11.8183i | 0.130807 | + | 0.495885i | ||||
\(569\) | −18.9615 | − | 2.49634i | −0.794910 | − | 0.104652i | −0.277876 | − | 0.960617i | \(-0.589630\pi\) |
−0.517034 | + | 0.855965i | \(0.672964\pi\) | |||||||
\(570\) | −4.47236 | + | 1.51331i | −0.187327 | + | 0.0633856i | ||||
\(571\) | −2.42413 | − | 2.76419i | −0.101447 | − | 0.115678i | 0.698888 | − | 0.715231i | \(-0.253678\pi\) |
−0.800335 | + | 0.599553i | \(0.795345\pi\) | |||||||
\(572\) | −0.562415 | − | 3.23869i | −0.0235157 | − | 0.135416i | ||||
\(573\) | 10.0418 | + | 25.7979i | 0.419504 | + | 1.07772i | ||||
\(574\) | −20.3809 | + | 10.5761i | −0.850682 | + | 0.441437i | ||||
\(575\) | 0.598061 | 0.0249409 | ||||||||
\(576\) | 1.21783 | − | 23.9691i | 0.0507428 | − | 0.998712i | ||||
\(577\) | 5.22259 | 0.217419 | 0.108710 | − | 0.994074i | \(-0.465328\pi\) | ||||
0.108710 | + | 0.994074i | \(0.465328\pi\) | |||||||
\(578\) | −52.9250 | + | 27.4639i | −2.20139 | + | 1.14235i | ||||
\(579\) | 31.0911 | + | 4.77509i | 1.29210 | + | 0.198446i | ||||
\(580\) | 3.91775 | − | 0.680337i | 0.162676 | − | 0.0282495i | ||||
\(581\) | 24.6770 | + | 28.1387i | 1.02377 | + | 1.16739i | ||||
\(582\) | −27.2114 | − | 23.9106i | −1.12795 | − | 0.991127i | ||||
\(583\) | 4.29769 | + | 0.565802i | 0.177992 | + | 0.0234331i | ||||
\(584\) | −1.78505 | + | 3.06422i | −0.0738659 | + | 0.126798i | ||||
\(585\) | −3.73274 | − | 1.17428i | −0.154330 | − | 0.0485503i | ||||
\(586\) | 40.0765 | + | 15.6447i | 1.65555 | + | 0.646279i | ||||
\(587\) | 4.37481 | + | 8.87124i | 0.180568 | + | 0.366155i | 0.968272 | − | 0.249898i | \(-0.0803971\pi\) |
−0.787704 | + | 0.616054i | \(0.788730\pi\) | |||||||
\(588\) | 0.977743 | + | 50.0132i | 0.0403214 | + | 2.06251i | ||||
\(589\) | 3.97608 | + | 11.7131i | 0.163831 | + | 0.482632i | ||||
\(590\) | 3.82034 | − | 1.38488i | 0.157281 | − | 0.0570147i | ||||
\(591\) | 3.60727 | − | 6.93498i | 0.148383 | − | 0.285267i | ||||
\(592\) | 2.61573 | − | 1.56877i | 0.107506 | − | 0.0644759i | ||||
\(593\) | 17.4411 | + | 17.4411i | 0.716221 | + | 0.716221i | 0.967829 | − | 0.251609i | \(-0.0809595\pi\) |
−0.251609 | + | 0.967829i | \(0.580960\pi\) | |||||||
\(594\) | −3.35785 | + | 1.74659i | −0.137774 | + | 0.0716636i | ||||
\(595\) | −2.84017 | + | 14.2785i | −0.116435 | + | 0.585360i | ||||
\(596\) | −10.8479 | − | 8.75270i | −0.444347 | − | 0.358524i | ||||
\(597\) | 41.5754 | + | 12.1036i | 1.70157 | + | 0.495366i | ||||
\(598\) | 0.449926 | + | 0.330797i | 0.0183988 | + | 0.0135273i | ||||
\(599\) | 0.622630 | + | 4.72934i | 0.0254400 | + | 0.193236i | 0.999446 | − | 0.0332871i | \(-0.0105976\pi\) |
−0.974006 | + | 0.226523i | \(0.927264\pi\) | |||||||
\(600\) | 13.9319 | + | 19.1435i | 0.568767 | + | 0.781529i | ||||
\(601\) | −0.680166 | + | 5.16638i | −0.0277446 | + | 0.210741i | −0.999702 | − | 0.0244165i | \(-0.992227\pi\) |
0.971957 | + | 0.235157i | \(0.0755605\pi\) | |||||||
\(602\) | 10.9404 | + | 10.5003i | 0.445897 | + | 0.427962i | ||||
\(603\) | −3.67238 | + | 15.0499i | −0.149551 | + | 0.612879i | ||||
\(604\) | 0.0940168 | + | 2.28953i | 0.00382549 | + | 0.0931596i | ||||
\(605\) | 4.37854 | − | 0.286984i | 0.178013 | − | 0.0116676i | ||||
\(606\) | −32.2160 | − | 18.6417i | −1.30868 | − | 0.757268i | ||||
\(607\) | −8.78331 | + | 5.07105i | −0.356504 | + | 0.205827i | −0.667546 | − | 0.744569i | \(-0.732655\pi\) |
0.311042 | + | 0.950396i | \(0.399322\pi\) | |||||||
\(608\) | 15.6335 | + | 21.6137i | 0.634021 | + | 0.876553i | ||||
\(609\) | −26.3448 | + | 28.7690i | −1.06755 | + | 1.16578i | ||||
\(610\) | −1.82136 | − | 0.576871i | −0.0737449 | − | 0.0233568i | ||||
\(611\) | 16.1662 | + | 24.1944i | 0.654014 | + | 0.978800i | ||||
\(612\) | 17.5779 | + | 42.6715i | 0.710545 | + | 1.72489i | ||||
\(613\) | 8.04498 | + | 40.4448i | 0.324934 | + | 1.63355i | 0.705437 | + | 0.708772i | \(0.250751\pi\) |
−0.380504 | + | 0.924779i | \(0.624249\pi\) | |||||||
\(614\) | 8.65217 | + | 29.8281i | 0.349173 | + | 1.20377i | ||||
\(615\) | 0.431884 | + | 2.44471i | 0.0174152 | + | 0.0985804i | ||||
\(616\) | 1.29027 | + | 6.62109i | 0.0519865 | + | 0.266771i | ||||
\(617\) | −2.77208 | − | 21.0561i | −0.111600 | − | 0.847685i | −0.952081 | − | 0.305845i | \(-0.901061\pi\) |
0.840482 | − | 0.541840i | \(-0.182272\pi\) | |||||||
\(618\) | −24.7297 | − | 28.2542i | −0.994773 | − | 1.13655i | ||||
\(619\) | 5.08540 | − | 2.50784i | 0.204399 | − | 0.100799i | −0.337208 | − | 0.941430i | \(-0.609483\pi\) |
0.541608 | + | 0.840631i | \(0.317816\pi\) | |||||||
\(620\) | −1.73270 | + | 1.26357i | −0.0695868 | + | 0.0507463i | ||||
\(621\) | 0.206099 | − | 0.609086i | 0.00827046 | − | 0.0244418i | ||||
\(622\) | 5.26454 | + | 7.53932i | 0.211089 | + | 0.302299i | ||||
\(623\) | 8.28762 | − | 2.22066i | 0.332037 | − | 0.0889689i | ||||
\(624\) | −0.107487 | + | 22.1077i | −0.00430292 | + | 0.885017i | ||||
\(625\) | −21.7542 | − | 5.82903i | −0.870169 | − | 0.233161i | ||||
\(626\) | 12.2844 | + | 33.8877i | 0.490983 | + | 1.35442i | ||||
\(627\) | 1.69304 | − | 3.85109i | 0.0676134 | − | 0.153798i | ||||
\(628\) | −22.8291 | − | 41.8691i | −0.910982 | − | 1.67076i | ||||
\(629\) | −3.25848 | + | 4.87666i | −0.129924 | + | 0.194445i | ||||
\(630\) | 7.70785 | + | 2.25207i | 0.307088 | + | 0.0897246i | ||||
\(631\) | −4.64663 | + | 11.2180i | −0.184979 | + | 0.446580i | −0.988980 | − | 0.148049i | \(-0.952701\pi\) |
0.804001 | + | 0.594628i | \(0.202701\pi\) | |||||||
\(632\) | 4.15692 | + | 32.5526i | 0.165353 | + | 1.29487i | ||||
\(633\) | 8.40979 | − | 23.1290i | 0.334259 | − | 0.919294i | ||||
\(634\) | −6.20583 | + | 3.75479i | −0.246465 | + | 0.149122i | ||||
\(635\) | 0.838004 | + | 0.955561i | 0.0332552 | + | 0.0379203i | ||||
\(636\) | −27.7845 | − | 8.82979i | −1.10173 | − | 0.350124i | ||||
\(637\) | −3.01373 | − | 45.9806i | −0.119408 | − | 1.82182i | ||||
\(638\) | −1.90750 | + | 2.98563i | −0.0755187 | + | 0.118202i | ||||
\(639\) | −10.6147 | + | 7.44270i | −0.419910 | + | 0.294429i | ||||
\(640\) | −2.76830 | + | 3.70452i | −0.109427 | + | 0.146434i | ||||
\(641\) | 4.71235 | − | 8.16203i | 0.186127 | − | 0.322381i | −0.757829 | − | 0.652453i | \(-0.773740\pi\) |
0.943956 | + | 0.330073i | \(0.107073\pi\) | |||||||
\(642\) | −28.5101 | − | 28.5656i | −1.12520 | − | 1.12740i | ||||
\(643\) | 1.33899 | + | 0.660317i | 0.0528046 | + | 0.0260404i | 0.468499 | − | 0.883464i | \(-0.344795\pi\) |
−0.415695 | + | 0.909504i | \(0.636462\pi\) | |||||||
\(644\) | −0.937035 | − | 0.659746i | −0.0369244 | − | 0.0259976i | ||||
\(645\) | 1.43715 | − | 0.789053i | 0.0565878 | − | 0.0310689i | ||||
\(646\) | −44.9390 | − | 24.7302i | −1.76810 | − | 0.972997i | ||||
\(647\) | −11.1992 | − | 27.0373i | −0.440287 | − | 1.06295i | −0.975848 | − | 0.218450i | \(-0.929900\pi\) |
0.535562 | − | 0.844496i | \(-0.320100\pi\) | |||||||
\(648\) | 24.2975 | − | 7.59166i | 0.954494 | − | 0.298229i | ||||
\(649\) | −1.38557 | + | 3.34506i | −0.0543884 | + | 0.131305i | ||||
\(650\) | −13.6292 | − | 17.0268i | −0.534583 | − | 0.667848i | ||||
\(651\) | 5.88047 | − | 20.1993i | 0.230474 | − | 0.791672i | ||||
\(652\) | 26.4380 | + | 0.645457i | 1.03539 | + | 0.0252781i | ||||
\(653\) | 3.24589 | + | 9.56208i | 0.127021 | + | 0.374193i | 0.991773 | − | 0.128006i | \(-0.0408577\pi\) |
−0.864752 | + | 0.502199i | \(0.832524\pi\) | |||||||
\(654\) | −5.20297 | + | 12.5266i | −0.203452 | + | 0.489828i | ||||
\(655\) | −0.0549379 | − | 0.205031i | −0.00214660 | − | 0.00801123i | ||||
\(656\) | 12.4745 | − | 6.41185i | 0.487049 | − | 0.250341i | ||||
\(657\) | −3.70463 | − | 0.650759i | −0.144532 | − | 0.0253885i | ||||
\(658\) | −34.1867 | − | 48.9586i | −1.33274 | − | 1.90860i | ||||
\(659\) | −15.3713 | − | 13.4803i | −0.598783 | − | 0.525118i | 0.305422 | − | 0.952217i | \(-0.401202\pi\) |
−0.904205 | + | 0.427099i | \(0.859536\pi\) | |||||||
\(660\) | 0.724810 | + | 0.0810447i | 0.0282132 | + | 0.00315466i | ||||
\(661\) | −2.39509 | + | 36.5420i | −0.0931582 | + | 1.42132i | 0.653910 | + | 0.756572i | \(0.273127\pi\) |
−0.747068 | + | 0.664747i | \(0.768539\pi\) | |||||||
\(662\) | 15.8608 | − | 21.5727i | 0.616447 | − | 0.838447i | ||||
\(663\) | −17.9788 | − | 38.5232i | −0.698239 | − | 1.49612i | ||||
\(664\) | −15.0068 | − | 17.2468i | −0.582377 | − | 0.669306i | ||||
\(665\) | −8.24577 | + | 3.41551i | −0.319757 | + | 0.132448i | ||||
\(666\) | 2.52170 | + | 2.02657i | 0.0977139 | + | 0.0785282i | ||||
\(667\) | −0.117425 | − | 0.590335i | −0.00454671 | − | 0.0228579i | ||||
\(668\) | 26.2542 | − | 8.20316i | 1.01581 | − | 0.317390i | ||||
\(669\) | −40.1013 | + | 15.6094i | −1.55040 | + | 0.603496i | ||||
\(670\) | 2.20345 | − | 2.01384i | 0.0851265 | − | 0.0778013i | ||||
\(671\) | 1.47422 | − | 0.851143i | 0.0569118 | − | 0.0328580i | ||||
\(672\) | −0.710366 | − | 45.3626i | −0.0274030 | − | 1.74990i | ||||
\(673\) | 32.3274 | + | 18.6642i | 1.24613 | + | 0.719454i | 0.970335 | − | 0.241763i | \(-0.0777256\pi\) |
0.275795 | + | 0.961216i | \(0.411059\pi\) | |||||||
\(674\) | 12.9689 | − | 2.85751i | 0.499544 | − | 0.110067i | ||||
\(675\) | −13.9315 | + | 20.8938i | −0.536225 | + | 0.804204i | ||||
\(676\) | 0.231195 | + | 5.63014i | 0.00889211 | + | 0.216544i | ||||
\(677\) | 47.3267 | + | 16.0653i | 1.81891 | + | 0.617438i | 0.998988 | + | 0.0449668i | \(0.0143182\pi\) |
0.819925 | + | 0.572471i | \(0.194015\pi\) | |||||||
\(678\) | 13.9264 | + | 6.88461i | 0.534841 | + | 0.264402i | ||||
\(679\) | −54.3254 | − | 41.6853i | −2.08482 | − | 1.59974i | ||||
\(680\) | 1.76880 | − | 8.71509i | 0.0678303 | − | 0.334208i | ||||
\(681\) | 5.46228 | − | 7.80631i | 0.209315 | − | 0.299138i | ||||
\(682\) | 0.210478 | − | 1.89911i | 0.00805964 | − | 0.0727209i | ||||
\(683\) | 17.6715 | + | 11.8077i | 0.676181 | + | 0.451810i | 0.845659 | − | 0.533724i | \(-0.179208\pi\) |
−0.169477 | + | 0.985534i | \(0.554208\pi\) | |||||||
\(684\) | −15.7646 | + | 23.4943i | −0.602775 | + | 0.898327i | ||||
\(685\) | −0.467475 | + | 2.35015i | −0.0178613 | + | 0.0897948i | ||||
\(686\) | 4.18346 | + | 48.5418i | 0.159725 | + | 1.85333i | ||||
\(687\) | −1.63617 | − | 37.1987i | −0.0624239 | − | 1.41922i | ||||
\(688\) | −6.65786 | − | 6.44000i | −0.253828 | − | 0.245523i | ||||
\(689\) | 25.9404 | + | 6.95071i | 0.988251 | + | 0.264801i | ||||
\(690\) | −0.0983722 | + | 0.0753316i | −0.00374496 | + | 0.00286783i | ||||
\(691\) | −3.06166 | + | 3.49115i | −0.116471 | + | 0.132810i | −0.807137 | − | 0.590364i | \(-0.798984\pi\) |
0.690666 | + | 0.723174i | \(0.257317\pi\) | |||||||
\(692\) | −22.7045 | + | 5.49342i | −0.863096 | + | 0.208828i | ||||
\(693\) | −6.11435 | + | 3.71568i | −0.232265 | + | 0.141147i | ||||
\(694\) | −3.06298 | − | 1.19570i | −0.116269 | − | 0.0453882i | ||||
\(695\) | 4.28172 | + | 5.58004i | 0.162415 | + | 0.211663i | ||||
\(696\) | 16.1607 | − | 17.5106i | 0.612571 | − | 0.663737i | ||||
\(697\) | −16.4188 | + | 21.3974i | −0.621905 | + | 0.810483i | ||||
\(698\) | −11.5104 | − | 19.0242i | −0.435676 | − | 0.720075i | ||||
\(699\) | 41.9642 | − | 23.0400i | 1.58723 | − | 0.871452i | ||||
\(700\) | 28.6799 | + | 34.3598i | 1.08400 | + | 1.29868i | ||||
\(701\) | −6.63190 | + | 4.43130i | −0.250484 | + | 0.167368i | −0.674473 | − | 0.738299i | \(-0.735629\pi\) |
0.423990 | + | 0.905667i | \(0.360629\pi\) | |||||||
\(702\) | −22.0375 | + | 8.01284i | −0.831753 | + | 0.302425i | ||||
\(703\) | −3.59571 | −0.135615 | ||||||||
\(704\) | −0.772418 | − | 4.04748i | −0.0291116 | − | 0.152545i | ||||
\(705\) | −6.15666 | + | 1.94338i | −0.231873 | + | 0.0731918i | ||||
\(706\) | 1.78726 | − | 39.7524i | 0.0672643 | − | 1.49610i | ||||
\(707\) | −63.1038 | − | 31.1194i | −2.37326 | − | 1.17036i | ||||
\(708\) | 13.1304 | − | 20.5077i | 0.493470 | − | 0.770727i | ||||
\(709\) | 3.52616 | − | 10.3877i | 0.132428 | − | 0.390119i | −0.860408 | − | 0.509605i | \(-0.829791\pi\) |
0.992836 | + | 0.119486i | \(0.0381247\pi\) | |||||||
\(710\) | 2.49753 | − | 0.0512574i | 0.0937307 | − | 0.00192366i | ||||
\(711\) | −30.8644 | + | 16.0923i | −1.15750 | + | 0.603510i | ||||
\(712\) | −5.06767 | + | 1.33678i | −0.189919 | + | 0.0500979i | ||||
\(713\) | 0.197610 | + | 0.257530i | 0.00740054 | + | 0.00964458i | ||||
\(714\) | 38.5089 | + | 78.2804i | 1.44116 | + | 2.92957i | ||||
\(715\) | −0.670393 | − | 0.0439399i | −0.0250713 | − | 0.00164326i | ||||
\(716\) | 32.4232 | − | 30.8778i | 1.21171 | − | 1.15396i | ||||
\(717\) | 19.4692 | + | 26.5346i | 0.727090 | + | 0.990954i | ||||
\(718\) | 8.91396 | + | 7.49941i | 0.332666 | + | 0.279875i | ||||
\(719\) | 16.7256 | − | 16.7256i | 0.623760 | − | 0.623760i | −0.322731 | − | 0.946491i | \(-0.604601\pi\) |
0.946491 | + | 0.322731i | \(0.104601\pi\) | |||||||
\(720\) | −4.70290 | − | 1.39396i | −0.175267 | − | 0.0519498i | ||||
\(721\) | −50.1895 | − | 50.1895i | −1.86915 | − | 1.86915i | ||||
\(722\) | −0.392978 | − | 4.55983i | −0.0146251 | − | 0.169699i | ||||
\(723\) | 45.8152 | + | 20.1415i | 1.70389 | + | 0.749071i | ||||
\(724\) | 10.6381 | + | 27.5671i | 0.395360 | + | 1.02452i | ||||
\(725\) | −1.53743 | + | 23.4567i | −0.0570988 | + | 0.871160i | ||||
\(726\) | 19.7862 | − | 17.3180i | 0.734333 | − | 0.642730i | ||||
\(727\) | 40.4270 | − | 31.0207i | 1.49936 | − | 1.15050i | 0.550479 | − | 0.834849i | \(-0.314445\pi\) |
0.948877 | − | 0.315646i | \(-0.102221\pi\) | |||||||
\(728\) | 2.57111 | + | 41.7125i | 0.0952918 | + | 1.54597i | ||||
\(729\) | 16.4781 | + | 21.3886i | 0.610298 | + | 0.792172i | ||||
\(730\) | 0.522907 | + | 0.501875i | 0.0193537 | + | 0.0185752i | ||||
\(731\) | 16.8665 | + | 5.72541i | 0.623831 | + | 0.211762i | ||||
\(732\) | −10.7672 | + | 3.89131i | −0.397969 | + | 0.143827i | ||||
\(733\) | 11.2554 | − | 22.8237i | 0.415727 | − | 0.843011i | −0.583789 | − | 0.811905i | \(-0.698431\pi\) |
0.999516 | − | 0.0311056i | \(-0.00990280\pi\) | |||||||
\(734\) | −8.48651 | − | 9.28554i | −0.313243 | − | 0.342735i | ||||
\(735\) | 9.98206 | + | 2.20959i | 0.368194 | + | 0.0815018i | ||||
\(736\) | 0.570810 | + | 0.405224i | 0.0210403 | + | 0.0149367i | ||||
\(737\) | 2.65971i | 0.0979716i | ||||||||
\(738\) | 10.9617 | + | 10.0577i | 0.403507 | + | 0.370229i | ||||
\(739\) | −16.6521 | − | 24.9216i | −0.612556 | − | 0.916755i | 0.387430 | − | 0.921899i | \(-0.373363\pi\) |
−0.999987 | + | 0.00514355i | \(0.998363\pi\) | |||||||
\(740\) | −0.185912 | − | 0.595013i | −0.00683427 | − | 0.0218731i | ||||
\(741\) | 13.5134 | − | 22.2857i | 0.496429 | − | 0.818686i | ||||
\(742\) | −53.5142 | − | 13.1684i | −1.96457 | − | 0.483427i | ||||
\(743\) | 8.84337 | + | 6.78576i | 0.324432 | + | 0.248945i | 0.758116 | − | 0.652120i | \(-0.226120\pi\) |
−0.433684 | + | 0.901065i | \(0.642787\pi\) | |||||||
\(744\) | −3.64000 | + | 12.3245i | −0.133449 | + | 0.451839i | ||||
\(745\) | −2.26010 | + | 1.73424i | −0.0828037 | + | 0.0635375i | ||||
\(746\) | −0.317615 | − | 0.724380i | −0.0116287 | − | 0.0265214i | ||||
\(747\) | 11.6495 | − | 21.2668i | 0.426233 | − | 0.778112i | ||||
\(748\) | 4.66864 | + | 6.40195i | 0.170702 | + | 0.234079i | ||||
\(749\) | −57.3591 | − | 50.3025i | −2.09585 | − | 1.83802i | ||||
\(750\) | 9.09950 | − | 3.75877i | 0.332267 | − | 0.137251i | ||||
\(751\) | −1.53790 | + | 5.73951i | −0.0561186 | + | 0.209438i | −0.988292 | − | 0.152575i | \(-0.951244\pi\) |
0.932173 | + | 0.362012i | \(0.117910\pi\) | |||||||
\(752\) | 20.7662 | + | 29.9870i | 0.757266 | + | 1.09351i | ||||
\(753\) | 24.0867 | − | 46.3067i | 0.877769 | − | 1.68751i | ||||
\(754\) | −14.1309 | + | 16.7963i | −0.514617 | + | 0.611684i | ||||
\(755\) | 0.459331 | + | 0.0913666i | 0.0167168 | + | 0.00332517i | ||||
\(756\) | 44.8767 | − | 17.3678i | 1.63215 | − | 0.631660i | ||||
\(757\) | −14.0523 | + | 21.0308i | −0.510740 | + | 0.764377i | −0.993797 | − | 0.111213i | \(-0.964527\pi\) |
0.483057 | + | 0.875589i | \(0.339527\pi\) | |||||||
\(758\) | −7.22614 | − | 9.02754i | −0.262465 | − | 0.327895i | ||||
\(759\) | 0.00958624 | − | 0.109980i | 0.000347959 | − | 0.00399204i | ||||
\(760\) | 5.04494 | − | 2.06674i | 0.182999 | − | 0.0749684i | ||||
\(761\) | −18.3493 | + | 23.9132i | −0.665160 | + | 0.866853i | −0.997073 | − | 0.0764566i | \(-0.975639\pi\) |
0.331913 | + | 0.943310i | \(0.392306\pi\) | |||||||
\(762\) | 7.46842 | + | 1.49312i | 0.270552 | + | 0.0540899i | ||||
\(763\) | −8.24199 | + | 24.2801i | −0.298380 | + | 0.879000i | ||||
\(764\) | −13.4343 | − | 29.0060i | −0.486035 | − | 1.04940i | ||||
\(765\) | 9.32150 | − | 1.44088i | 0.337020 | − | 0.0520952i | ||||
\(766\) | 7.03579 | − | 11.0124i | 0.254213 | − | 0.397896i | ||||
\(767\) | −11.2157 | + | 19.4261i | −0.404974 | + | 0.701436i | ||||
\(768\) | 0.326164 | + | 27.7109i | 0.0117694 | + | 0.999931i | ||||
\(769\) | −17.3370 | − | 30.0286i | −0.625189 | − | 1.08286i | −0.988504 | − | 0.151192i | \(-0.951689\pi\) |
0.363316 | − | 0.931666i | \(-0.381645\pi\) | |||||||
\(770\) | 1.37729 | + | 0.0619224i | 0.0496339 | + | 0.00223153i | ||||
\(771\) | 28.5288 | + | 4.38156i | 1.02744 | + | 0.157798i | ||||
\(772\) | −36.1753 | − | 3.25945i | −1.30198 | − | 0.117310i | ||||
\(773\) | 0.575217 | − | 0.114418i | 0.0206891 | − | 0.00411532i | −0.184735 | − | 0.982788i | \(-0.559143\pi\) |
0.205424 | + | 0.978673i | \(0.434143\pi\) | |||||||
\(774\) | 3.96273 | − | 8.99013i | 0.142437 | − | 0.323144i | ||||
\(775\) | −4.85147 | − | 11.7125i | −0.174270 | − | 0.420725i | ||||
\(776\) | 33.0850 | + | 25.5920i | 1.18768 | + | 0.918700i | ||||
\(777\) | 5.01063 | + | 3.50607i | 0.179755 | + | 0.125780i | ||||
\(778\) | 40.1203 | − | 6.12188i | 1.43838 | − | 0.219480i | ||||
\(779\) | −16.4995 | − | 1.08143i | −0.591156 | − | 0.0387464i | ||||
\(780\) | 4.38650 | + | 1.08393i | 0.157062 | + | 0.0388108i | ||||
\(781\) | −1.46755 | + | 1.67342i | −0.0525131 | + | 0.0598797i | ||||
\(782\) | −1.32533 | − | 0.235464i | −0.0473939 | − | 0.00842018i | ||||
\(783\) | 23.3593 | + | 9.64922i | 0.834793 | + | 0.344835i | ||||
\(784\) | −4.73581 | − | 57.5668i | −0.169136 | − | 2.05596i | ||||
\(785\) | −9.41449 | + | 2.52260i | −0.336018 | + | 0.0900356i | ||||
\(786\) | −1.00838 | − | 0.775317i | −0.0359677 | − | 0.0276546i | ||||
\(787\) | 32.7944 | − | 11.1322i | 1.16899 | − | 0.396820i | 0.331600 | − | 0.943420i | \(-0.392411\pi\) |
0.837394 | + | 0.546600i | \(0.184078\pi\) | |||||||
\(788\) | −3.65674 | + | 8.25248i | −0.130266 | + | 0.293982i | ||||
\(789\) | 10.3479 | − | 9.91237i | 0.368395 | − | 0.352890i | ||||
\(790\) | 6.66634 | + | 0.738829i | 0.237178 | + | 0.0262863i | ||||
\(791\) | 27.1315 | + | 11.2382i | 0.964684 | + | 0.399585i | ||||
\(792\) | 3.74370 | − | 2.25516i | 0.133027 | − | 0.0801335i | ||||
\(793\) | 9.74349 | − | 4.03588i | 0.346001 | − | 0.143318i | ||||
\(794\) | 5.91780 | + | 20.4015i | 0.210015 | + | 0.724020i | ||||
\(795\) | −3.08945 | + | 5.09497i | −0.109571 | + | 0.180700i | ||||
\(796\) | −48.7867 | − | 10.9485i | −1.72920 | − | 0.388060i | ||||
\(797\) | 15.8435 | − | 32.1275i | 0.561206 | − | 1.13801i | −0.412659 | − | 0.910886i | \(-0.635400\pi\) |
0.973865 | − | 0.227127i | \(-0.0729334\pi\) | |||||||
\(798\) | −26.7869 | + | 46.2923i | −0.948248 | + | 1.63873i | ||||
\(799\) | −60.7426 | − | 35.0697i | −2.14892 | − | 1.24068i | ||||
\(800\) | −17.4371 | − | 21.0564i | −0.616495 | − | 0.744457i | ||||
\(801\) | −3.19142 | − | 4.55155i | −0.112763 | − | 0.160821i | ||||
\(802\) | 11.6366 | − | 2.56395i | 0.410902 | − | 0.0905361i | ||||
\(803\) | −0.644399 | + | 0.0422361i | −0.0227403 | + | 0.00149048i | ||||
\(804\) | 3.14619 | − | 17.6092i | 0.110958 | − | 0.621027i | ||||
\(805\) | −0.176095 | + | 0.154431i | −0.00620653 | + | 0.00544298i | ||||
\(806\) | 2.82856 | − | 11.4948i | 0.0996319 | − | 0.404888i | ||||
\(807\) | −0.0122110 | + | 0.0102530i | −0.000429849 | + | 0.000360923i | ||||
\(808\) | 38.4723 | + | 19.1588i | 1.35345 | + | 0.674004i | ||||
\(809\) | −39.9253 | − | 16.5376i | −1.40370 | − | 0.581432i | −0.452991 | − | 0.891515i | \(-0.649643\pi\) |
−0.950709 | + | 0.310083i | \(0.899643\pi\) | |||||||
\(810\) | −0.340251 | − | 5.19154i | −0.0119552 | − | 0.182412i | ||||
\(811\) | −24.7216 | − | 16.5185i | −0.868094 | − | 0.580042i | 0.0398159 | − | 0.999207i | \(-0.487323\pi\) |
−0.907910 | + | 0.419165i | \(0.862323\pi\) | |||||||
\(812\) | 28.2849 | − | 35.0557i | 0.992605 | − | 1.23021i | ||||
\(813\) | 1.30893 | + | 11.9162i | 0.0459062 | + | 0.417919i | ||||
\(814\) | 0.503088 | + | 0.235388i | 0.0176332 | + | 0.00825034i | ||||
\(815\) | 1.39892 | − | 5.22086i | 0.0490022 | − | 0.182879i | ||||
\(816\) | −23.3368 | − | 47.9081i | −0.816950 | − | 1.67712i | ||||
\(817\) | 2.82626 | + | 10.5477i | 0.0988783 | + | 0.369019i | ||||
\(818\) | −8.33559 | + | 46.9178i | −0.291447 | + | 1.64044i | ||||
\(819\) | −40.5612 | + | 17.8786i | −1.41732 | + | 0.624730i | ||||
\(820\) | −0.674135 | − | 2.78623i | −0.0235418 | − | 0.0972994i | ||||
\(821\) | 7.09445 | + | 14.3861i | 0.247598 | + | 0.502079i | 0.984822 | − | 0.173570i | \(-0.0555302\pi\) |
−0.737223 | + | 0.675649i | \(0.763863\pi\) | |||||||
\(822\) | 6.33835 | + | 12.8845i | 0.221075 | + | 0.449398i | ||||
\(823\) | 40.1492 | − | 5.28574i | 1.39951 | − | 0.184249i | 0.607289 | − | 0.794481i | \(-0.292257\pi\) |
0.792223 | + | 0.610232i | \(0.208924\pi\) | |||||||
\(824\) | 30.5384 | + | 30.7768i | 1.06386 | + | 1.07216i | ||||
\(825\) | −1.47332 | + | 4.05199i | −0.0512945 | + | 0.141072i | ||||
\(826\) | 22.1930 | − | 40.3285i | 0.772195 | − | 1.40321i | ||||
\(827\) | 10.3745 | − | 2.06362i | 0.360757 | − | 0.0717591i | −0.0113839 | − | 0.999935i | \(-0.503624\pi\) |
0.372141 | + | 0.928176i | \(0.378624\pi\) | |||||||
\(828\) | −0.193565 | + | 0.716810i | −0.00672684 | + | 0.0249109i | ||||
\(829\) | −30.9362 | + | 20.6709i | −1.07446 | + | 0.717930i | −0.961260 | − | 0.275642i | \(-0.911110\pi\) |
−0.113198 | + | 0.993572i | \(0.536110\pi\) | |||||||
\(830\) | −4.14734 | + | 2.15214i | −0.143956 | + | 0.0747018i | ||||
\(831\) | −5.97563 | + | 26.9956i | −0.207292 | + | 0.936467i | ||||
\(832\) | −1.47145 | − | 25.4857i | −0.0510133 | − | 0.883556i | ||||
\(833\) | 55.5354 | + | 96.1901i | 1.92419 | + | 3.33279i | ||||
\(834\) | 40.7012 | + | 10.9483i | 1.40937 | + | 0.379109i | ||||
\(835\) | −0.367675 | − | 5.60964i | −0.0127239 | − | 0.194130i | ||||
\(836\) | −1.67323 | + | 4.56034i | −0.0578699 | + | 0.157723i | ||||
\(837\) | −13.6003 | + | 0.904650i | −0.470095 | + | 0.0312693i | ||||
\(838\) | 30.6452 | − | 0.628940i | 1.05862 | − | 0.0217264i | ||||
\(839\) | 4.39111 | + | 0.578100i | 0.151598 | + | 0.0199582i | 0.205943 | − | 0.978564i | \(-0.433974\pi\) |
−0.0543453 | + | 0.998522i | \(0.517307\pi\) | |||||||
\(840\) | −9.04537 | − | 2.03918i | −0.312095 | − | 0.0703582i | ||||
\(841\) | −5.29635 | + | 0.697278i | −0.182633 | + | 0.0240441i | ||||
\(842\) | −4.20982 | − | 27.5894i | −0.145080 | − | 0.950795i | ||||
\(843\) | 4.04589 | + | 4.22366i | 0.139348 | + | 0.145470i | ||||
\(844\) | −8.02280 | + | 27.2617i | −0.276156 | + | 0.938386i | ||||
\(845\) | 1.12953 | + | 0.224678i | 0.0388571 | + | 0.00772915i | ||||
\(846\) | −22.2111 | + | 31.6769i | −0.763634 | + | 1.08907i | ||||
\(847\) | 35.1472 | − | 35.1472i | 1.20767 | − | 1.20767i | ||||
\(848\) | 32.6572 | + | 8.17087i | 1.12145 | + | 0.280589i | ||||
\(849\) | 1.19980 | + | 27.2778i | 0.0411772 | + | 0.936171i | ||||
\(850\) | 47.6167 | + | 22.2792i | 1.63324 | + | 0.764171i | ||||
\(851\) | −0.0893527 | + | 0.0303312i | −0.00306297 | + | 0.00103974i | ||||
\(852\) | 11.6957 | − | 9.34327i | 0.400690 | − | 0.320095i | ||||
\(853\) | 8.26107 | − | 4.07391i | 0.282854 | − | 0.139488i | −0.295328 | − | 0.955396i | \(-0.595429\pi\) |
0.578182 | + | 0.815908i | \(0.303762\pi\) | |||||||
\(854\) | −19.8206 | + | 8.69064i | −0.678248 | + | 0.297387i | ||||
\(855\) | 3.90941 | + | 4.26084i | 0.133699 | + | 0.145718i | ||||
\(856\) | 34.9176 | + | 30.8630i | 1.19346 | + | 1.05487i | ||||
\(857\) | 0.609961 | − | 4.63311i | 0.0208359 | − | 0.158264i | −0.977864 | − | 0.209242i | \(-0.932900\pi\) |
0.998700 | + | 0.0509777i | \(0.0162338\pi\) | |||||||
\(858\) | −3.34961 | + | 2.23343i | −0.114354 | + | 0.0762480i | ||||
\(859\) | −17.7542 | + | 15.5700i | −0.605765 | + | 0.531242i | −0.906358 | − | 0.422511i | \(-0.861149\pi\) |
0.300593 | + | 0.953753i | \(0.402816\pi\) | |||||||
\(860\) | −1.59930 | + | 1.01305i | −0.0545356 | + | 0.0345446i | ||||
\(861\) | 21.9377 | + | 17.5952i | 0.747633 | + | 0.599642i | ||||
\(862\) | −9.22259 | + | 29.1187i | −0.314123 | + | 0.991786i | ||||
\(863\) | 16.0549i | 0.546516i | 0.961941 | + | 0.273258i | \(0.0881013\pi\) | ||||
−0.961941 | + | 0.273258i | \(0.911899\pi\) | |||||||
\(864\) | −27.4536 | + | 10.5023i | −0.933991 | + | 0.357295i | ||||
\(865\) | 4.77426i | 0.162330i | ||||||||
\(866\) | 3.28366 | + | 1.04002i | 0.111583 | + | 0.0353412i | ||||
\(867\) | 56.9676 | + | 45.6911i | 1.93472 | + | 1.55175i | ||||
\(868\) | −5.31931 | + | 23.7029i | −0.180549 | + | 0.804528i | ||||
\(869\) | −4.49305 | + | 3.94030i | −0.152416 | + | 0.133665i | ||||
\(870\) | −2.70172 | − | 4.05193i | −0.0915967 | − | 0.137373i | ||||
\(871\) | −2.15079 | + | 16.3369i | −0.0728767 | + | 0.553553i | ||||
\(872\) | 5.09220 | − | 14.8116i | 0.172444 | − | 0.501585i | ||||
\(873\) | −13.3135 | + | 42.3204i | −0.450594 | + | 1.43233i | ||||
\(874\) | −0.331385 | − | 0.755785i | −0.0112093 | − | 0.0255648i | ||||
\(875\) | 16.6916 | − | 8.23140i | 0.564280 | − | 0.278272i | ||||
\(876\) | 4.31634 | + | 0.482632i | 0.145836 | + | 0.0163066i | ||||
\(877\) | −12.2780 | + | 4.16780i | −0.414597 | + | 0.140737i | −0.520941 | − | 0.853593i | \(-0.674419\pi\) |
0.106344 | + | 0.994329i | \(0.466086\pi\) | |||||||
\(878\) | 6.23096 | − | 13.3172i | 0.210285 | − | 0.449435i | ||||
\(879\) | −2.31535 | − | 52.6400i | −0.0780949 | − | 1.77550i | ||||
\(880\) | −0.841151 | − | 0.0410962i | −0.0283552 | − | 0.00138535i | ||||
\(881\) | −14.0987 | + | 14.0987i | −0.474996 | + | 0.474996i | −0.903527 | − | 0.428531i | \(-0.859031\pi\) |
0.428531 | + | 0.903527i | \(0.359031\pi\) | |||||||
\(882\) | 55.5419 | − | 25.8557i | 1.87019 | − | 0.870605i | ||||
\(883\) | 11.4380 | + | 2.27516i | 0.384920 | + | 0.0765653i | 0.383757 | − | 0.923434i | \(-0.374630\pi\) |
0.00116244 | + | 0.999999i | \(0.499630\pi\) | |||||||
\(884\) | 23.4994 | + | 43.0984i | 0.790371 | + | 1.44956i | ||||
\(885\) | −3.44274 | − | 3.59400i | −0.115726 | − | 0.120811i | ||||
\(886\) | −32.0279 | + | 4.88707i | −1.07600 | + | 0.164184i | ||||
\(887\) | 30.0800 | − | 3.96011i | 1.00999 | − | 0.132968i | 0.392669 | − | 0.919680i | \(-0.371552\pi\) |
0.617320 | + | 0.786712i | \(0.288218\pi\) | |||||||
\(888\) | −3.05236 | − | 2.15354i | −0.102430 | − | 0.0722682i | ||||
\(889\) | 14.2741 | + | 1.87922i | 0.478737 | + | 0.0630269i | ||||
\(890\) | 0.0219791 | + | 1.07094i | 0.000736741 | + | 0.0358979i | ||||
\(891\) | 3.61897 | + | 2.89685i | 0.121240 | + | 0.0970481i | ||||
\(892\) | 45.0880 | − | 20.8828i | 1.50966 | − | 0.699207i | ||||
\(893\) | −2.81235 | − | 42.9081i | −0.0941116 | − | 1.43587i | ||||
\(894\) | −4.43443 | + | 16.4853i | −0.148309 | + | 0.551352i | ||||
\(895\) | −4.57546 | − | 7.92493i | −0.152941 | − | 0.264901i | ||||
\(896\) | 4.09208 | + | 52.2266i | 0.136707 | + | 1.74477i | ||||
\(897\) | 0.147818 | − | 0.667787i | 0.00493552 | − | 0.0222968i | ||||
\(898\) | −7.84139 | − | 15.1110i | −0.261671 | − | 0.504260i | ||||
\(899\) | −10.6086 | + | 7.08847i | −0.353818 | + | 0.236414i | ||||
\(900\) | 14.5476 | − | 25.0843i | 0.484920 | − | 0.836143i | ||||
\(901\) | −63.4894 | + | 12.6288i | −2.11514 | + | 0.420727i | ||||
\(902\) | 2.23771 | + | 1.23142i | 0.0745075 | + | 0.0410020i | ||||
\(903\) | 6.34640 | − | 17.4541i | 0.211195 | − | 0.580837i | ||||
\(904\) | −16.5462 | − | 6.92918i | −0.550319 | − | 0.230461i | ||||
\(905\) | 5.98747 | − | 0.788265i | 0.199030 | − | 0.0262028i | ||||
\(906\) | 2.51824 | − | 1.23881i | 0.0836629 | − | 0.0411568i | ||||
\(907\) | 16.9078 | + | 34.2856i | 0.561413 | + | 1.13843i | 0.973796 | + | 0.227423i | \(0.0730300\pi\) |
−0.412383 | + | 0.911011i | \(0.635303\pi\) | |||||||
\(908\) | −5.73165 | + | 9.39049i | −0.190212 | + | 0.311634i | ||||
\(909\) | −4.93351 | + | 45.3181i | −0.163634 | + | 1.50311i | ||||
\(910\) | 8.40970 | + | 1.49410i | 0.278779 | + | 0.0495289i | ||||
\(911\) | 1.10539 | + | 4.12537i | 0.0366231 | + | 0.136679i | 0.981817 | − | 0.189831i | \(-0.0607939\pi\) |
−0.945194 | + | 0.326510i | \(0.894127\pi\) | |||||||
\(912\) | 16.4724 | − | 28.2134i | 0.545457 | − | 0.934240i | ||||
\(913\) | 1.07751 | − | 4.02132i | 0.0356604 | − | 0.133086i | ||||
\(914\) | 10.9907 | − | 23.4900i | 0.363538 | − | 0.776980i | ||||
\(915\) | 0.255491 | + | 2.32593i | 0.00844628 | + | 0.0768928i | ||||
\(916\) | 4.56990 | + | 42.7514i | 0.150994 | + | 1.41254i | ||||
\(917\) | −1.99926 | − | 1.33586i | −0.0660212 | − | 0.0441140i | ||||
\(918\) | 39.0992 | − | 40.8168i | 1.29047 | − | 1.34716i | ||||
\(919\) | −10.0670 | − | 4.16987i | −0.332078 | − | 0.137551i | 0.210413 | − | 0.977613i | \(-0.432519\pi\) |
−0.542492 | + | 0.840061i | \(0.682519\pi\) | |||||||
\(920\) | 0.107932 | − | 0.0939141i | 0.00355842 | − | 0.00309626i | ||||
\(921\) | 29.1307 | − | 24.4596i | 0.959888 | − | 0.805970i | ||||
\(922\) | 25.2884 | + | 6.22279i | 0.832829 | + | 0.204937i | ||||
\(923\) | −10.3674 | + | 9.09200i | −0.341248 | + | 0.299267i | ||||
\(924\) | 6.77831 | − | 4.72334i | 0.222990 | − | 0.155386i | ||||
\(925\) | 3.67732 | − | 0.241025i | 0.120910 | − | 0.00792484i | ||||
\(926\) | −6.52782 | − | 29.6268i | −0.214518 | − | 0.973597i | ||||
\(927\) | −19.4079 | + | 41.6907i | −0.637440 | + | 1.36930i | ||||
\(928\) | −17.3608 | + | 21.3462i | −0.569895 | + | 0.700722i | ||||
\(929\) | −4.89609 | − | 2.82676i | −0.160635 | − | 0.0927429i | 0.417527 | − | 0.908664i | \(-0.362897\pi\) |
−0.578163 | + | 0.815921i | \(0.696230\pi\) | |||||||
\(930\) | 2.27330 | + | 1.31544i | 0.0745444 | + | 0.0431350i | ||||
\(931\) | −30.1171 | + | 61.0715i | −0.987049 | + | 2.00154i | ||||
\(932\) | −46.6987 | + | 29.5805i | −1.52967 | + | 0.968940i | ||||
\(933\) | 5.83937 | − | 9.63000i | 0.191172 | − | 0.315272i | ||||
\(934\) | 26.4441 | − | 7.67058i | 0.865278 | − | 0.250989i | ||||
\(935\) | 1.49613 | − | 0.619718i | 0.0489287 | − | 0.0202669i | ||||
\(936\) | 24.8188 | − | 10.8246i | 0.811227 | − | 0.353813i | ||||
\(937\) | 18.1366 | + | 7.51245i | 0.592499 | + | 0.245421i | 0.658725 | − | 0.752384i | \(-0.271096\pi\) |
−0.0662266 | + | 0.997805i | \(0.521096\pi\) | |||||||
\(938\) | 3.72484 | − | 33.6087i | 0.121620 | − | 1.09736i | ||||
\(939\) | 31.8801 | − | 30.5383i | 1.04037 | − | 0.996579i | ||||
\(940\) | 6.95497 | − | 2.68390i | 0.226846 | − | 0.0875393i | ||||
\(941\) | 22.7219 | − | 7.71303i | 0.740712 | − | 0.251438i | 0.0745212 | − | 0.997219i | \(-0.476257\pi\) |
0.666190 | + | 0.745782i | \(0.267924\pi\) | |||||||
\(942\) | −35.6005 | + | 46.3021i | −1.15993 | + | 1.50860i | ||||
\(943\) | −0.419132 | + | 0.112306i | −0.0136488 | + | 0.00365719i | ||||
\(944\) | −13.6521 | + | 24.5815i | −0.444340 | + | 0.800059i | ||||
\(945\) | −1.29315 | − | 9.74945i | −0.0420663 | − | 0.317150i | ||||
\(946\) | 0.295062 | − | 1.66079i | 0.00959329 | − | 0.0539969i | ||||
\(947\) | 17.9425 | − | 20.4595i | 0.583052 | − | 0.664843i | −0.382832 | − | 0.923818i | \(-0.625051\pi\) |
0.965884 | + | 0.258974i | \(0.0833846\pi\) | |||||||
\(948\) | 34.4082 | − | 20.7727i | 1.11753 | − | 0.674667i | ||||
\(949\) | −3.99228 | − | 0.261668i | −0.129595 | − | 0.00849409i | ||||
\(950\) | 4.86158 | + | 31.8608i | 0.157730 | + | 1.03370i | ||||
\(951\) | 7.27857 | + | 5.09301i | 0.236024 | + | 0.165152i | ||||
\(952\) | −50.0282 | − | 87.4348i | −1.62142 | − | 2.83378i | ||||
\(953\) | 0.485822 | + | 1.17288i | 0.0157373 | + | 0.0379932i | 0.931553 | − | 0.363606i | \(-0.118455\pi\) |
−0.915816 | + | 0.401599i | \(0.868455\pi\) | |||||||
\(954\) | 3.86412 | + | 35.4963i | 0.125106 | + | 1.14923i | ||||
\(955\) | −6.40770 | + | 1.27457i | −0.207348 | + | 0.0412441i | ||||
\(956\) | −24.3519 | − | 29.1747i | −0.787597 | − | 0.943579i | ||||
\(957\) | 4.28893 | + | 0.658711i | 0.138641 | + | 0.0212931i | ||||
\(958\) | 1.83860 | − | 40.8943i | 0.0594024 | − | 1.32124i | ||||
\(959\) | 13.5718 | + | 23.5071i | 0.438257 | + | 0.759084i | ||||
\(960\) | 5.52041 | + | 1.26709i | 0.178171 | + | 0.0408952i | ||||
\(961\) | −12.0595 | + | 20.8877i | −0.389017 | + | 0.673796i | ||||
\(962\) | 2.89979 | + | 1.85266i | 0.0934931 | + | 0.0597322i | ||||
\(963\) | −17.8852 | + | 46.0798i | −0.576342 | + | 1.48490i | ||||
\(964\) | −54.2529 | − | 19.9059i | −1.74737 | − | 0.641125i | ||||
\(965\) | −2.38620 | + | 7.02951i | −0.0768144 | + | 0.226288i | ||||
\(966\) | −0.275158 | + | 1.37631i | −0.00885308 | + | 0.0442822i | ||||
\(967\) | 12.4706 | − | 16.2520i | 0.401027 | − | 0.522628i | −0.548569 | − | 0.836105i | \(-0.684827\pi\) |
0.949596 | + | 0.313477i | \(0.101494\pi\) | |||||||
\(968\) | −21.5527 | + | 21.3858i | −0.692731 | + | 0.687364i | ||||
\(969\) | −5.45510 | + | 62.5850i | −0.175243 | + | 2.01052i | ||||
\(970\) | 6.67401 | − | 5.34225i | 0.214289 | − | 0.171529i | ||||
\(971\) | 1.56489 | − | 2.34202i | 0.0502197 | − | 0.0751592i | −0.805510 | − | 0.592582i | \(-0.798109\pi\) |
0.855730 | + | 0.517423i | \(0.173109\pi\) | |||||||
\(972\) | −20.5335 | − | 23.4601i | −0.658611 | − | 0.752484i | ||||
\(973\) | 78.1432 | + | 15.5436i | 2.50515 | + | 0.498306i | ||||
\(974\) | −25.1955 | − | 21.1973i | −0.807317 | − | 0.679205i | ||||
\(975\) | −12.3263 | + | 23.6974i | −0.394759 | + | 0.758923i | ||||
\(976\) | 12.1278 | − | 5.26149i | 0.388203 | − | 0.168416i | ||||
\(977\) | 13.5207 | − | 50.4598i | 0.432564 | − | 1.61435i | −0.314265 | − | 0.949335i | \(-0.601758\pi\) |
0.746829 | − | 0.665016i | \(-0.231575\pi\) | |||||||
\(978\) | −12.3658 | − | 29.9360i | −0.395414 | − | 0.957249i | ||||
\(979\) | −0.717559 | − | 0.629283i | −0.0229333 | − | 0.0201120i | ||||
\(980\) | −11.6632 | − | 1.82610i | −0.372567 | − | 0.0583328i | ||||
\(981\) | 16.6084 | − | 0.373135i | 0.530267 | − | 0.0119133i | ||||
\(982\) | 12.2729 | − | 5.38125i | 0.391645 | − | 0.171722i | ||||
\(983\) | −44.9430 | + | 34.4859i | −1.43346 | + | 1.09993i | −0.455714 | + | 0.890126i | \(0.650616\pi\) |
−0.977743 | + | 0.209805i | \(0.932717\pi\) | |||||||
\(984\) | −13.3586 | − | 10.7999i | −0.425855 | − | 0.344289i | ||||
\(985\) | 1.46359 | + | 1.12305i | 0.0466338 | + | 0.0357834i | ||||
\(986\) | 12.6422 | − | 51.3760i | 0.402610 | − | 1.63614i | ||||
\(987\) | −37.9195 | + | 62.5349i | −1.20699 | + | 1.99051i | ||||
\(988\) | −13.9653 | + | 26.6582i | −0.444296 | + | 0.848109i | ||||
\(989\) | 0.159206 | + | 0.238269i | 0.00506247 | + | 0.00757652i | ||||
\(990\) | −0.268049 | − | 0.852073i | −0.00851914 | − | 0.0270806i | ||||
\(991\) | − | 2.32838i | − | 0.0739635i | −0.999316 | − | 0.0369818i | \(-0.988226\pi\) | ||
0.999316 | − | 0.0369818i | \(-0.0117743\pi\) | |||||||
\(992\) | 3.30554 | − | 14.4660i | 0.104951 | − | 0.459295i | ||||
\(993\) | −32.0185 | − | 7.08749i | −1.01608 | − | 0.224915i | ||||
\(994\) | 20.8879 | − | 19.0905i | 0.662524 | − | 0.605513i | ||||
\(995\) | −4.51977 | + | 9.16520i | −0.143286 | + | 0.290556i | ||||
\(996\) | −11.8908 | + | 25.3494i | −0.376773 | + | 0.803228i | ||||
\(997\) | −21.0207 | − | 7.13557i | −0.665733 | − | 0.225986i | −0.0319412 | − | 0.999490i | \(-0.510169\pi\) |
−0.633791 | + | 0.773504i | \(0.718502\pi\) | |||||||
\(998\) | −37.8438 | + | 39.4297i | −1.19792 | + | 1.24812i | ||||
\(999\) | 1.02178 | − | 3.82818i | 0.0323277 | − | 0.121118i |
(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 | 576.2.bm.a.205.63 | yes | 1504 | |
9.4 | even | 3 | inner | 576.2.bm.a.13.2 | ✓ | 1504 | |
64.5 | even | 16 | inner | 576.2.bm.a.133.2 | yes | 1504 | |
576.517 | even | 48 | inner | 576.2.bm.a.517.63 | yes | 1504 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
576.2.bm.a.13.2 | ✓ | 1504 | 9.4 | even | 3 | inner | |
576.2.bm.a.133.2 | yes | 1504 | 64.5 | even | 16 | inner | |
576.2.bm.a.205.63 | yes | 1504 | 1.1 | even | 1 | trivial | |
576.2.bm.a.517.63 | yes | 1504 | 576.517 | even | 48 | inner |