Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [392,2,Mod(37,392)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(392, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([0, 21, 32]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("392.37");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 392 = 2^{3} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 392.z (of order \(42\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.13013575923\) |
Analytic rank: | \(0\) |
Dimension: | \(648\) |
Relative dimension: | \(54\) over \(\Q(\zeta_{42})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{42}]$ |
Embedding invariants
Embedding label | 205.33 | ||
Character | \(\chi\) | \(=\) | 392.205 |
Dual form | 392.2.z.a.109.33 |
$q$-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 \(\left(\mathbb{Z}/392\mathbb{Z}\right)^\times\).
\(n\) | \(197\) | \(295\) | \(297\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(e\left(\frac{1}{21}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.429820 | − | 1.34731i | 0.303928 | − | 0.952695i | ||||
\(3\) | −0.197978 | + | 1.31349i | −0.114302 | + | 0.758347i | 0.856092 | + | 0.516823i | \(0.172885\pi\) |
−0.970395 | + | 0.241524i | \(0.922353\pi\) | |||||||
\(4\) | −1.63051 | − | 1.15820i | −0.815255 | − | 0.579102i | ||||
\(5\) | −0.400186 | + | 0.157061i | −0.178969 | + | 0.0702400i | −0.453133 | − | 0.891443i | \(-0.649694\pi\) |
0.274165 | + | 0.961683i | \(0.411599\pi\) | |||||||
\(6\) | 1.68460 | + | 0.831304i | 0.687733 | + | 0.339378i | ||||
\(7\) | 2.29348 | + | 1.31907i | 0.866854 | + | 0.498563i | ||||
\(8\) | −2.26129 | + | 1.69899i | −0.799487 | + | 0.600684i | ||||
\(9\) | 1.18064 | + | 0.364181i | 0.393548 | + | 0.121394i | ||||
\(10\) | 0.0396032 | + | 0.606684i | 0.0125236 | + | 0.191850i | ||||
\(11\) | −1.11866 | − | 3.62661i | −0.337289 | − | 1.09346i | −0.952356 | − | 0.304989i | \(-0.901347\pi\) |
0.615067 | − | 0.788475i | \(-0.289129\pi\) | |||||||
\(12\) | 1.84410 | − | 1.91237i | 0.532346 | − | 0.552053i | ||||
\(13\) | 3.49195 | + | 0.797016i | 0.968494 | + | 0.221052i | 0.677378 | − | 0.735635i | \(-0.263116\pi\) |
0.291116 | + | 0.956688i | \(0.405973\pi\) | |||||||
\(14\) | 2.76299 | − | 2.52307i | 0.738440 | − | 0.674320i | ||||
\(15\) | −0.127072 | − | 0.556737i | −0.0328097 | − | 0.143749i | ||||
\(16\) | 1.31713 | + | 3.77693i | 0.329281 | + | 0.944232i | ||||
\(17\) | 4.88123 | + | 3.32797i | 1.18387 | + | 0.807151i | 0.984946 | − | 0.172863i | \(-0.0553019\pi\) |
0.198927 | + | 0.980014i | \(0.436254\pi\) | |||||||
\(18\) | 0.998130 | − | 1.43417i | 0.235261 | − | 0.338036i | ||||
\(19\) | 1.60836 | + | 0.928587i | 0.368983 | + | 0.213033i | 0.673014 | − | 0.739630i | \(-0.264999\pi\) |
−0.304031 | + | 0.952662i | \(0.598333\pi\) | |||||||
\(20\) | 0.834417 | + | 0.207407i | 0.186581 | + | 0.0463776i | ||||
\(21\) | −2.18665 | + | 2.75133i | −0.477167 | + | 0.600389i | ||||
\(22\) | −5.36701 | − | 0.0516011i | −1.14425 | − | 0.0110014i | ||||
\(23\) | 6.85261 | − | 4.67203i | 1.42887 | − | 0.974186i | 0.431468 | − | 0.902128i | \(-0.357996\pi\) |
0.997400 | − | 0.0720579i | \(-0.0229566\pi\) | |||||||
\(24\) | −1.78393 | − | 3.30656i | −0.364143 | − | 0.674948i | ||||
\(25\) | −3.52978 | + | 3.27516i | −0.705956 | + | 0.655031i | ||||
\(26\) | 2.57474 | − | 4.36219i | 0.504948 | − | 0.855495i | ||||
\(27\) | −2.44111 | + | 5.06903i | −0.469793 | + | 0.975535i | ||||
\(28\) | −2.21178 | − | 4.80708i | −0.417988 | − | 0.908453i | ||||
\(29\) | −1.43164 | − | 2.97283i | −0.265849 | − | 0.552041i | 0.724722 | − | 0.689041i | \(-0.241968\pi\) |
−0.990571 | + | 0.137000i | \(0.956254\pi\) | |||||||
\(30\) | −0.804718 | − | 0.0680913i | −0.146921 | − | 0.0124317i | ||||
\(31\) | −3.59829 | − | 6.23242i | −0.646272 | − | 1.11938i | −0.984006 | − | 0.178134i | \(-0.942994\pi\) |
0.337735 | − | 0.941241i | \(-0.390339\pi\) | |||||||
\(32\) | 5.65483 | − | 0.151183i | 0.999643 | − | 0.0267256i | ||||
\(33\) | 4.98500 | − | 0.751369i | 0.867778 | − | 0.130796i | ||||
\(34\) | 6.58187 | − | 5.14613i | 1.12878 | − | 0.882554i | ||||
\(35\) | −1.12499 | − | 0.167657i | −0.190159 | − | 0.0283393i | ||||
\(36\) | −1.50326 | − | 1.96123i | −0.250543 | − | 0.326871i | ||||
\(37\) | −0.975748 | − | 0.0731222i | −0.160412 | − | 0.0120212i | −0.00571805 | − | 0.999984i | \(-0.501820\pi\) |
−0.154694 | + | 0.987962i | \(0.549439\pi\) | |||||||
\(38\) | 1.94240 | − | 1.76784i | 0.315100 | − | 0.286782i | ||||
\(39\) | −1.73820 | + | 4.42887i | −0.278336 | + | 0.709187i | ||||
\(40\) | 0.638091 | − | 1.03507i | 0.100891 | − | 0.163660i | ||||
\(41\) | −1.32567 | + | 1.66234i | −0.207035 | + | 0.259614i | −0.874498 | − | 0.485029i | \(-0.838809\pi\) |
0.667463 | + | 0.744643i | \(0.267380\pi\) | |||||||
\(42\) | 2.76703 | + | 4.12868i | 0.426963 | + | 0.637070i | ||||
\(43\) | −5.52298 | + | 4.40443i | −0.842246 | + | 0.671669i | −0.946437 | − | 0.322889i | \(-0.895346\pi\) |
0.104191 | + | 0.994557i | \(0.466775\pi\) | |||||||
\(44\) | −2.37637 | + | 7.20886i | −0.358251 | + | 1.08678i | ||||
\(45\) | −0.529676 | + | 0.0396937i | −0.0789595 | + | 0.00591719i | ||||
\(46\) | −3.34931 | − | 11.2408i | −0.493828 | − | 1.65736i | ||||
\(47\) | −1.01171 | − | 0.938733i | −0.147574 | − | 0.136928i | 0.602931 | − | 0.797793i | \(-0.293999\pi\) |
−0.750505 | + | 0.660865i | \(0.770190\pi\) | |||||||
\(48\) | −5.22174 | + | 0.982291i | −0.753693 | + | 0.141781i | ||||
\(49\) | 3.52009 | + | 6.05053i | 0.502870 | + | 0.864362i | ||||
\(50\) | 2.89549 | + | 6.16345i | 0.409485 | + | 0.871643i | ||||
\(51\) | −5.33764 | + | 5.75261i | −0.747420 | + | 0.805527i | ||||
\(52\) | −4.77056 | − | 5.34394i | −0.661558 | − | 0.741071i | ||||
\(53\) | 2.59340 | − | 0.194349i | 0.356231 | − | 0.0266958i | 0.104587 | − | 0.994516i | \(-0.466648\pi\) |
0.251644 | + | 0.967820i | \(0.419029\pi\) | |||||||
\(54\) | 5.78033 | + | 5.46772i | 0.786603 | + | 0.744062i | ||||
\(55\) | 1.01727 | + | 1.27562i | 0.137169 | + | 0.172005i | ||||
\(56\) | −7.42731 | + | 0.913790i | −0.992517 | + | 0.122110i | ||||
\(57\) | −1.53811 | + | 1.92873i | −0.203728 | + | 0.255467i | ||||
\(58\) | −4.62068 | + | 0.651087i | −0.606725 | + | 0.0854919i | ||||
\(59\) | −9.74555 | − | 3.82485i | −1.26876 | − | 0.497953i | −0.367015 | − | 0.930215i | \(-0.619620\pi\) |
−0.901748 | + | 0.432263i | \(0.857715\pi\) | |||||||
\(60\) | −0.437624 | + | 1.05494i | −0.0564970 | + | 0.136192i | ||||
\(61\) | 9.85193 | + | 0.738300i | 1.26141 | + | 0.0945297i | 0.688590 | − | 0.725151i | \(-0.258230\pi\) |
0.572821 | + | 0.819681i | \(0.305849\pi\) | |||||||
\(62\) | −9.94364 | + | 2.16921i | −1.26284 | + | 0.275490i | ||||
\(63\) | 2.22740 | + | 2.39260i | 0.280626 | + | 0.301439i | ||||
\(64\) | 2.22687 | − | 7.68382i | 0.278359 | − | 0.960477i | ||||
\(65\) | −1.52261 | + | 0.229497i | −0.188857 | + | 0.0284656i | ||||
\(66\) | 1.13032 | − | 7.03932i | 0.139133 | − | 0.866480i | ||||
\(67\) | −11.4770 | + | 6.62623i | −1.40214 | + | 0.809523i | −0.994612 | − | 0.103671i | \(-0.966941\pi\) |
−0.407524 | + | 0.913194i | \(0.633608\pi\) | |||||||
\(68\) | −4.10443 | − | 11.0798i | −0.497735 | − | 1.34362i | ||||
\(69\) | 4.78003 | + | 9.92583i | 0.575448 | + | 1.19493i | ||||
\(70\) | −0.709432 | + | 1.44366i | −0.0847933 | + | 0.172550i | ||||
\(71\) | −13.6050 | − | 6.55184i | −1.61462 | − | 0.777560i | −0.614684 | − | 0.788774i | \(-0.710716\pi\) |
−0.999937 | + | 0.0112133i | \(0.996431\pi\) | |||||||
\(72\) | −3.28852 | + | 1.18238i | −0.387556 | + | 0.139345i | ||||
\(73\) | 5.75662 | − | 5.34136i | 0.673761 | − | 0.625159i | −0.267213 | − | 0.963638i | \(-0.586103\pi\) |
0.940974 | + | 0.338478i | \(0.109912\pi\) | |||||||
\(74\) | −0.517915 | + | 1.28321i | −0.0602064 | + | 0.149170i | ||||
\(75\) | −3.60308 | − | 5.28475i | −0.416048 | − | 0.610231i | ||||
\(76\) | −1.54695 | − | 3.37688i | −0.177448 | − | 0.387355i | ||||
\(77\) | 2.21814 | − | 9.79315i | 0.252780 | − | 1.11603i | ||||
\(78\) | 5.21997 | + | 4.24553i | 0.591045 | + | 0.480711i | ||||
\(79\) | −4.67982 | + | 8.10569i | −0.526521 | + | 0.911962i | 0.473001 | + | 0.881062i | \(0.343171\pi\) |
−0.999522 | + | 0.0308999i | \(0.990163\pi\) | |||||||
\(80\) | −1.12030 | − | 1.30460i | −0.125254 | − | 0.145859i | ||||
\(81\) | −3.11231 | − | 2.12194i | −0.345812 | − | 0.235771i | ||||
\(82\) | 1.66989 | + | 2.50060i | 0.184409 | + | 0.276145i | ||||
\(83\) | 16.5284 | − | 3.77249i | 1.81422 | − | 0.414085i | 0.825570 | − | 0.564300i | \(-0.190854\pi\) |
0.988653 | + | 0.150215i | \(0.0479966\pi\) | |||||||
\(84\) | 6.75196 | − | 1.95347i | 0.736699 | − | 0.213141i | ||||
\(85\) | −2.47610 | − | 0.565153i | −0.268570 | − | 0.0612995i | ||||
\(86\) | 3.56026 | + | 9.33429i | 0.383913 | + | 1.00654i | ||||
\(87\) | 4.18823 | − | 1.29190i | 0.449025 | − | 0.138506i | ||||
\(88\) | 8.69119 | + | 6.30023i | 0.926484 | + | 0.671606i | ||||
\(89\) | −6.38494 | − | 1.96949i | −0.676802 | − | 0.208766i | −0.0627476 | − | 0.998029i | \(-0.519986\pi\) |
−0.614055 | + | 0.789264i | \(0.710463\pi\) | |||||||
\(90\) | −0.174185 | + | 0.730701i | −0.0183608 | + | 0.0770227i | ||||
\(91\) | 6.95740 | + | 6.43408i | 0.729334 | + | 0.674475i | ||||
\(92\) | −16.5844 | − | 0.318931i | −1.72905 | − | 0.0332509i | ||||
\(93\) | 8.89863 | − | 3.49245i | 0.922745 | − | 0.362151i | ||||
\(94\) | −1.69962 | + | 0.959610i | −0.175303 | + | 0.0989762i | ||||
\(95\) | −0.789489 | − | 0.118996i | −0.0809999 | − | 0.0122088i | ||||
\(96\) | −0.920952 | + | 7.45753i | −0.0939943 | + | 0.761131i | ||||
\(97\) | −11.9331 | −1.21162 | −0.605811 | − | 0.795608i | \(-0.707151\pi\) | ||||
−0.605811 | + | 0.795608i | \(0.707151\pi\) | |||||||
\(98\) | 9.66497 | − | 2.14203i | 0.976310 | − | 0.216378i | ||||
\(99\) | − | 4.68913i | − | 0.471276i | ||||||
\(100\) | 9.54864 | − | 1.25197i | 0.954864 | − | 0.125197i | ||||
\(101\) | −1.50915 | + | 10.0126i | −0.150167 | + | 0.996290i | 0.779105 | + | 0.626893i | \(0.215674\pi\) |
−0.929272 | + | 0.369397i | \(0.879564\pi\) | |||||||
\(102\) | 5.45635 | + | 9.66407i | 0.540259 | + | 0.956885i | ||||
\(103\) | −1.75717 | − | 4.47721i | −0.173139 | − | 0.441152i | 0.817793 | − | 0.575512i | \(-0.195197\pi\) |
−0.990933 | + | 0.134360i | \(0.957102\pi\) | |||||||
\(104\) | −9.25045 | + | 4.13051i | −0.907081 | + | 0.405030i | ||||
\(105\) | 0.442941 | − | 1.44448i | 0.0432266 | − | 0.140967i | ||||
\(106\) | 0.852847 | − | 3.57766i | 0.0828358 | − | 0.347493i | ||||
\(107\) | −1.01911 | + | 3.30387i | −0.0985210 | + | 0.319397i | −0.991394 | − | 0.130911i | \(-0.958210\pi\) |
0.892873 | + | 0.450308i | \(0.148686\pi\) | |||||||
\(108\) | 9.85123 | − | 5.43779i | 0.947935 | − | 0.523251i | ||||
\(109\) | −2.62257 | − | 8.50215i | −0.251196 | − | 0.814358i | −0.990077 | − | 0.140522i | \(-0.955122\pi\) |
0.738881 | − | 0.673836i | \(-0.235354\pi\) | |||||||
\(110\) | 2.15591 | − | 0.822300i | 0.205558 | − | 0.0784032i | ||||
\(111\) | 0.289222 | − | 1.26716i | 0.0274517 | − | 0.120274i | ||||
\(112\) | −1.96124 | + | 10.3997i | −0.185320 | + | 0.982678i | ||||
\(113\) | −0.499667 | − | 2.18918i | −0.0470047 | − | 0.205941i | 0.945973 | − | 0.324247i | \(-0.105111\pi\) |
−0.992977 | + | 0.118306i | \(0.962254\pi\) | |||||||
\(114\) | 1.93750 | + | 2.90133i | 0.181463 | + | 0.271735i | ||||
\(115\) | −2.00852 | + | 2.94596i | −0.187296 | + | 0.274713i | ||||
\(116\) | −1.10884 | + | 6.50536i | −0.102953 | + | 0.604008i | ||||
\(117\) | 3.83250 | + | 2.21269i | 0.354315 | + | 0.204564i | ||||
\(118\) | −9.34210 | + | 11.4863i | −0.860010 | + | 1.05740i | ||||
\(119\) | 6.80517 | + | 14.0713i | 0.623829 | + | 1.28992i | ||||
\(120\) | 1.23324 | + | 1.04305i | 0.112579 | + | 0.0952171i | ||||
\(121\) | −2.81228 | + | 1.91738i | −0.255661 | + | 0.174307i | ||||
\(122\) | 5.22928 | − | 12.9563i | 0.473437 | − | 1.17301i | ||||
\(123\) | −1.92102 | − | 2.07037i | −0.173213 | − | 0.186679i | ||||
\(124\) | −1.35137 | + | 14.3296i | −0.121357 | + | 1.28683i | ||||
\(125\) | 1.83081 | − | 3.80171i | 0.163753 | − | 0.340036i | ||||
\(126\) | 4.18096 | − | 1.97263i | 0.372470 | − | 0.175735i | ||||
\(127\) | 3.99994 | − | 1.92627i | 0.354937 | − | 0.170929i | −0.247915 | − | 0.968782i | \(-0.579745\pi\) |
0.602852 | + | 0.797853i | \(0.294031\pi\) | |||||||
\(128\) | −9.39536 | − | 6.30295i | −0.830441 | − | 0.557107i | ||||
\(129\) | −4.69177 | − | 8.12638i | −0.413087 | − | 0.715488i | ||||
\(130\) | −0.345245 | + | 2.15008i | −0.0302799 | + | 0.188574i | ||||
\(131\) | −1.58508 | − | 10.5163i | −0.138489 | − | 0.918817i | −0.944876 | − | 0.327428i | \(-0.893818\pi\) |
0.806387 | − | 0.591388i | \(-0.201420\pi\) | |||||||
\(132\) | −8.99834 | − | 4.54854i | −0.783205 | − | 0.395900i | ||||
\(133\) | 2.46387 | + | 4.25124i | 0.213644 | + | 0.368629i | ||||
\(134\) | 3.99459 | + | 18.3112i | 0.345080 | + | 1.58184i | ||||
\(135\) | 0.180751 | − | 2.41196i | 0.0155566 | − | 0.207588i | ||||
\(136\) | −16.6921 | + | 0.767662i | −1.43133 | + | 0.0658264i | ||||
\(137\) | −5.92813 | + | 15.1046i | −0.506474 | + | 1.29048i | 0.417728 | + | 0.908572i | \(0.362827\pi\) |
−0.924202 | + | 0.381903i | \(0.875269\pi\) | |||||||
\(138\) | 15.4278 | − | 2.17388i | 1.31330 | − | 0.185053i | ||||
\(139\) | 4.59929 | + | 3.66781i | 0.390106 | + | 0.311100i | 0.798828 | − | 0.601560i | \(-0.205454\pi\) |
−0.408721 | + | 0.912659i | \(0.634025\pi\) | |||||||
\(140\) | 1.64013 | + | 1.57634i | 0.138616 | + | 0.133225i | ||||
\(141\) | 1.43332 | − | 1.14303i | 0.120707 | − | 0.0962607i | ||||
\(142\) | −14.6751 | + | 15.5141i | −1.23151 | + | 1.30192i | ||||
\(143\) | −1.01585 | − | 13.5556i | −0.0849495 | − | 1.13357i | ||||
\(144\) | 0.179573 | + | 4.93888i | 0.0149644 | + | 0.411573i | ||||
\(145\) | 1.03984 | + | 0.964830i | 0.0863540 | + | 0.0801248i | ||||
\(146\) | −4.72218 | − | 10.0518i | −0.390811 | − | 0.831893i | ||||
\(147\) | −8.64424 | + | 3.42575i | −0.712965 | + | 0.282552i | ||||
\(148\) | 1.50628 | + | 1.24934i | 0.123815 | + | 0.102695i | ||||
\(149\) | 16.3671 | − | 17.6396i | 1.34085 | − | 1.44509i | 0.546752 | − | 0.837295i | \(-0.315864\pi\) |
0.794095 | − | 0.607794i | \(-0.207945\pi\) | |||||||
\(150\) | −8.66890 | + | 2.58299i | −0.707813 | + | 0.210901i | ||||
\(151\) | −0.0116411 | − | 0.155339i | −0.000947337 | − | 0.0126413i | 0.996710 | − | 0.0810493i | \(-0.0258271\pi\) |
−0.997657 | + | 0.0684079i | \(0.978208\pi\) | |||||||
\(152\) | −5.21463 | + | 0.632782i | −0.422962 | + | 0.0513254i | ||||
\(153\) | 4.55102 | + | 5.70680i | 0.367928 | + | 0.461367i | ||||
\(154\) | −12.2411 | − | 7.19782i | −0.986412 | − | 0.580017i | ||||
\(155\) | 2.41886 | + | 1.92897i | 0.194287 | + | 0.154939i | ||||
\(156\) | 7.96370 | − | 5.20813i | 0.637606 | − | 0.416984i | ||||
\(157\) | −0.336258 | − | 0.131972i | −0.0268363 | − | 0.0105325i | 0.351885 | − | 0.936043i | \(-0.385541\pi\) |
−0.378721 | + | 0.925511i | \(0.623636\pi\) | |||||||
\(158\) | 8.90943 | + | 9.78918i | 0.708796 | + | 0.778785i | ||||
\(159\) | −0.258159 | + | 3.44490i | −0.0204734 | + | 0.273198i | ||||
\(160\) | −2.23924 | + | 0.948658i | −0.177028 | + | 0.0749980i | ||||
\(161\) | 21.8791 | − | 1.67611i | 1.72431 | − | 0.132096i | ||||
\(162\) | −4.19665 | + | 3.28121i | −0.329720 | + | 0.257796i | ||||
\(163\) | −1.35487 | − | 8.98897i | −0.106122 | − | 0.704070i | −0.977105 | − | 0.212758i | \(-0.931755\pi\) |
0.870983 | − | 0.491312i | \(-0.163483\pi\) | |||||||
\(164\) | 4.08685 | − | 1.17506i | 0.319130 | − | 0.0917570i | ||||
\(165\) | −1.87692 | + | 1.08364i | −0.146118 | + | 0.0843612i | ||||
\(166\) | 2.02149 | − | 23.8904i | 0.156898 | − | 1.85425i | ||||
\(167\) | 8.96244 | − | 4.31608i | 0.693534 | − | 0.333989i | −0.0536926 | − | 0.998558i | \(-0.517099\pi\) |
0.747227 | + | 0.664569i | \(0.231385\pi\) | |||||||
\(168\) | 0.270182 | − | 9.93665i | 0.0208450 | − | 0.766629i | ||||
\(169\) | −0.154081 | − | 0.0742013i | −0.0118524 | − | 0.00570779i | ||||
\(170\) | −1.82571 | + | 3.09317i | −0.140026 | + | 0.237235i | ||||
\(171\) | 1.56073 | + | 1.68207i | 0.119352 | + | 0.128631i | ||||
\(172\) | 14.1065 | − | 0.784726i | 1.07561 | − | 0.0598348i | ||||
\(173\) | −4.64545 | − | 6.81362i | −0.353187 | − | 0.518030i | 0.607997 | − | 0.793939i | \(-0.291973\pi\) |
−0.961184 | + | 0.275910i | \(0.911021\pi\) | |||||||
\(174\) | 0.0595921 | − | 6.19814i | 0.00451766 | − | 0.469880i | ||||
\(175\) | −12.4156 | + | 2.85547i | −0.938534 | + | 0.215853i | ||||
\(176\) | 12.2240 | − | 9.00180i | 0.921421 | − | 0.678536i | ||||
\(177\) | 6.95332 | − | 12.0435i | 0.522643 | − | 0.905245i | ||||
\(178\) | −5.39790 | + | 7.75599i | −0.404590 | + | 0.581336i | ||||
\(179\) | 3.65409 | − | 5.35956i | 0.273119 | − | 0.400593i | −0.665034 | − | 0.746813i | \(-0.731583\pi\) |
0.938153 | + | 0.346221i | \(0.112535\pi\) | |||||||
\(180\) | 0.909616 | + | 0.548752i | 0.0677988 | + | 0.0409016i | ||||
\(181\) | −18.8643 | + | 4.30565i | −1.40217 | + | 0.320037i | −0.855714 | − | 0.517450i | \(-0.826882\pi\) |
−0.546458 | + | 0.837486i | \(0.684024\pi\) | |||||||
\(182\) | 11.6592 | − | 6.60831i | 0.864234 | − | 0.489841i | ||||
\(183\) | −2.92021 | + | 12.7943i | −0.215868 | + | 0.945782i | ||||
\(184\) | −7.55801 | + | 22.2073i | −0.557184 | + | 1.63715i | ||||
\(185\) | 0.401966 | − | 0.123990i | 0.0295531 | − | 0.00911593i | ||||
\(186\) | −0.880626 | − | 13.4904i | −0.0645706 | − | 0.989162i | ||||
\(187\) | 6.60880 | − | 21.4252i | 0.483283 | − | 1.56677i | ||||
\(188\) | 0.562364 | + | 2.70238i | 0.0410146 | + | 0.197092i | ||||
\(189\) | −12.2851 | + | 8.40570i | −0.893607 | + | 0.611425i | ||||
\(190\) | −0.499663 | + | 1.01254i | −0.0362494 | + | 0.0734576i | ||||
\(191\) | −1.04490 | − | 2.66235i | −0.0756060 | − | 0.192641i | 0.888074 | − | 0.459700i | \(-0.152043\pi\) |
−0.963680 | + | 0.267059i | \(0.913948\pi\) | |||||||
\(192\) | 9.65179 | + | 4.44620i | 0.696558 | + | 0.320877i | ||||
\(193\) | −10.4825 | − | 1.57999i | −0.754549 | − | 0.113730i | −0.239506 | − | 0.970895i | \(-0.576986\pi\) |
−0.515042 | + | 0.857165i | \(0.672224\pi\) | |||||||
\(194\) | −5.12908 | + | 16.0776i | −0.368247 | + | 1.15431i | ||||
\(195\) | − | 2.04538i | − | 0.146473i | ||||||
\(196\) | 1.26821 | − | 13.9424i | 0.0905862 | − | 0.995889i | ||||
\(197\) | − | 16.2224i | − | 1.15580i | −0.816109 | − | 0.577898i | \(-0.803873\pi\) | ||
0.816109 | − | 0.577898i | \(-0.196127\pi\) | |||||||
\(198\) | −6.31773 | − | 2.01548i | −0.448982 | − | 0.143234i | ||||
\(199\) | 1.21310 | + | 0.182846i | 0.0859945 | + | 0.0129616i | 0.191899 | − | 0.981415i | \(-0.438536\pi\) |
−0.105904 | + | 0.994376i | \(0.533774\pi\) | |||||||
\(200\) | 2.41740 | − | 13.4031i | 0.170936 | − | 0.947745i | ||||
\(201\) | −6.43134 | − | 16.3868i | −0.453632 | − | 1.15584i | ||||
\(202\) | 12.8414 | + | 6.33691i | 0.903520 | + | 0.445864i | ||||
\(203\) | 0.637945 | − | 8.70656i | 0.0447749 | − | 0.611081i | ||||
\(204\) | 15.3658 | − | 3.19761i | 1.07582 | − | 0.223877i | ||||
\(205\) | 0.269426 | − | 0.873458i | 0.0188175 | − | 0.0610049i | ||||
\(206\) | −6.78747 | + | 0.443073i | −0.472905 | + | 0.0308704i | ||||
\(207\) | 9.79196 | − | 3.02042i | 0.680588 | − | 0.209934i | ||||
\(208\) | 1.58907 | + | 14.2386i | 0.110182 | + | 0.987271i | ||||
\(209\) | 1.56841 | − | 6.87167i | 0.108489 | − | 0.475324i | ||||
\(210\) | −1.75579 | − | 1.21765i | −0.121161 | − | 0.0840256i | ||||
\(211\) | 15.4744 | − | 3.53194i | 1.06530 | − | 0.243149i | 0.346278 | − | 0.938132i | \(-0.387445\pi\) |
0.719026 | + | 0.694983i | \(0.244588\pi\) | |||||||
\(212\) | −4.45366 | − | 2.68680i | −0.305879 | − | 0.184530i | ||||
\(213\) | 11.2993 | − | 16.5730i | 0.774215 | − | 1.13557i | ||||
\(214\) | 4.01332 | + | 2.79313i | 0.274345 | + | 0.190934i | ||||
\(215\) | 1.51845 | − | 2.63004i | 0.103558 | − | 0.179367i | ||||
\(216\) | −3.09215 | − | 15.6100i | −0.210394 | − | 1.06212i | ||||
\(217\) | −0.0315847 | − | 19.0403i | −0.00214411 | − | 1.29254i | ||||
\(218\) | −12.5823 | − | 0.120972i | −0.852180 | − | 0.00819329i | ||||
\(219\) | 5.87617 | + | 8.61876i | 0.397075 | + | 0.582402i | ||||
\(220\) | −0.181245 | − | 3.25812i | −0.0122195 | − | 0.219663i | ||||
\(221\) | 14.3926 | + | 15.5115i | 0.968151 | + | 1.04342i | ||||
\(222\) | −1.58295 | − | 0.934325i | −0.106241 | − | 0.0627078i | ||||
\(223\) | −13.9259 | − | 6.70638i | −0.932550 | − | 0.449093i | −0.0950150 | − | 0.995476i | \(-0.530290\pi\) |
−0.837535 | + | 0.546383i | \(0.816004\pi\) | |||||||
\(224\) | 13.1687 | + | 7.11240i | 0.879868 | + | 0.475217i | ||||
\(225\) | −5.36016 | + | 2.58132i | −0.357344 | + | 0.172088i | ||||
\(226\) | −3.16428 | − | 0.267746i | −0.210485 | − | 0.0178102i | ||||
\(227\) | −19.5630 | + | 11.2947i | −1.29845 | + | 0.749658i | −0.980135 | − | 0.198329i | \(-0.936448\pi\) |
−0.318310 | + | 0.947987i | \(0.603115\pi\) | |||||||
\(228\) | 4.74178 | − | 1.36337i | 0.314032 | − | 0.0902914i | ||||
\(229\) | 1.52548 | + | 10.1209i | 0.100806 | + | 0.668806i | 0.980973 | + | 0.194142i | \(0.0621923\pi\) |
−0.880167 | + | 0.474664i | \(0.842570\pi\) | |||||||
\(230\) | 3.10583 | + | 3.97235i | 0.204793 | + | 0.261929i | ||||
\(231\) | 12.4241 | + | 4.85234i | 0.817447 | + | 0.319260i | ||||
\(232\) | 8.28816 | + | 4.29009i | 0.544144 | + | 0.281658i | ||||
\(233\) | 0.802002 | − | 10.7020i | 0.0525409 | − | 0.701109i | −0.907286 | − | 0.420515i | \(-0.861849\pi\) |
0.959826 | − | 0.280594i | \(-0.0905315\pi\) | |||||||
\(234\) | 4.62848 | − | 4.21252i | 0.302573 | − | 0.275381i | ||||
\(235\) | 0.552312 | + | 0.216767i | 0.0360289 | + | 0.0141403i | ||||
\(236\) | 11.4603 | + | 17.5238i | 0.745999 | + | 1.14070i | ||||
\(237\) | −9.72029 | − | 7.75167i | −0.631401 | − | 0.503525i | ||||
\(238\) | 21.8835 | − | 3.12057i | 1.41850 | − | 0.202276i | ||||
\(239\) | −15.2056 | − | 19.0672i | −0.983567 | − | 1.23335i | −0.972377 | − | 0.233417i | \(-0.925009\pi\) |
−0.0111906 | − | 0.999937i | \(-0.503562\pi\) | |||||||
\(240\) | 1.93539 | − | 1.21323i | 0.124929 | − | 0.0783138i | ||||
\(241\) | 1.78596 | + | 23.8320i | 0.115044 | + | 1.53515i | 0.694107 | + | 0.719872i | \(0.255799\pi\) |
−0.579063 | + | 0.815283i | \(0.696582\pi\) | |||||||
\(242\) | 1.37454 | + | 4.61315i | 0.0883586 | + | 0.296544i | ||||
\(243\) | −8.07703 | + | 8.70497i | −0.518142 | + | 0.558424i | ||||
\(244\) | −15.2086 | − | 12.6144i | −0.973629 | − | 0.807551i | ||||
\(245\) | −2.35900 | − | 1.86847i | −0.150711 | − | 0.119372i | ||||
\(246\) | −3.61513 | + | 1.69833i | −0.230492 | + | 0.108282i | ||||
\(247\) | 4.87622 | + | 4.52447i | 0.310267 | + | 0.287885i | ||||
\(248\) | 18.7256 | + | 7.97985i | 1.18908 | + | 0.506721i | ||||
\(249\) | 1.68290 | + | 22.4568i | 0.106650 | + | 1.42314i | ||||
\(250\) | −4.33518 | − | 4.10073i | −0.274181 | − | 0.259353i | ||||
\(251\) | −0.752680 | + | 0.600242i | −0.0475088 | + | 0.0378870i | −0.646956 | − | 0.762527i | \(-0.723958\pi\) |
0.599448 | + | 0.800414i | \(0.295387\pi\) | |||||||
\(252\) | −0.860686 | − | 6.48094i | −0.0542181 | − | 0.408261i | ||||
\(253\) | −24.6094 | − | 19.6253i | −1.54718 | − | 1.23383i | ||||
\(254\) | −0.876036 | − | 6.21712i | −0.0549674 | − | 0.390097i | ||||
\(255\) | 1.23254 | − | 3.14045i | 0.0771845 | − | 0.196663i | ||||
\(256\) | −12.5304 | + | 9.94937i | −0.783148 | + | 0.621836i | ||||
\(257\) | 0.316145 | − | 4.21866i | 0.0197206 | − | 0.263153i | −0.978625 | − | 0.205653i | \(-0.934068\pi\) |
0.998346 | − | 0.0574998i | \(-0.0183128\pi\) | |||||||
\(258\) | −12.9654 | + | 2.82840i | −0.807190 | + | 0.176089i | ||||
\(259\) | −2.14141 | − | 1.45479i | −0.133060 | − | 0.0903961i | ||||
\(260\) | 2.74844 | + | 1.38930i | 0.170451 | + | 0.0861607i | ||||
\(261\) | −0.607610 | − | 4.03123i | −0.0376101 | − | 0.249527i | ||||
\(262\) | −14.8501 | − | 2.38453i | −0.917443 | − | 0.147316i | ||||
\(263\) | 1.91887 | + | 3.32358i | 0.118323 | + | 0.204941i | 0.919103 | − | 0.394017i | \(-0.128915\pi\) |
−0.800780 | + | 0.598958i | \(0.795582\pi\) | |||||||
\(264\) | −9.99598 | + | 10.1685i | −0.615210 | + | 0.625830i | ||||
\(265\) | −1.00732 | + | 0.485099i | −0.0618791 | + | 0.0297994i | ||||
\(266\) | 6.78678 | − | 1.49233i | 0.416124 | − | 0.0915009i | ||||
\(267\) | 3.85099 | − | 7.99667i | 0.235677 | − | 0.489388i | ||||
\(268\) | 26.3879 | + | 2.48854i | 1.61189 | + | 0.152012i | ||||
\(269\) | 20.7734 | + | 22.3884i | 1.26658 | + | 1.36505i | 0.900734 | + | 0.434371i | \(0.143029\pi\) |
0.365844 | + | 0.930676i | \(0.380780\pi\) | |||||||
\(270\) | −3.17198 | − | 1.28024i | −0.193040 | − | 0.0779127i | ||||
\(271\) | −3.21434 | + | 2.19150i | −0.195257 | + | 0.133124i | −0.657002 | − | 0.753889i | \(-0.728176\pi\) |
0.461745 | + | 0.887013i | \(0.347223\pi\) | |||||||
\(272\) | −6.14030 | + | 22.8194i | −0.372310 | + | 1.38363i | ||||
\(273\) | −9.82854 | + | 7.86471i | −0.594851 | + | 0.475994i | ||||
\(274\) | 17.8027 | + | 14.4793i | 1.07550 | + | 0.874728i | ||||
\(275\) | 15.8263 | + | 9.13734i | 0.954364 | + | 0.551003i | ||||
\(276\) | 3.70226 | − | 21.7204i | 0.222850 | − | 1.30742i | ||||
\(277\) | −13.0300 | + | 19.1115i | −0.782895 | + | 1.14830i | 0.202711 | + | 0.979239i | \(0.435025\pi\) |
−0.985606 | + | 0.169057i | \(0.945928\pi\) | |||||||
\(278\) | 6.91856 | − | 4.62019i | 0.414947 | − | 0.277100i | ||||
\(279\) | −1.97857 | − | 8.66870i | −0.118454 | − | 0.518981i | ||||
\(280\) | 2.82879 | − | 1.53223i | 0.169052 | − | 0.0915683i | ||||
\(281\) | −0.373388 | + | 1.63592i | −0.0222745 | + | 0.0975908i | −0.984843 | − | 0.173447i | \(-0.944510\pi\) |
0.962569 | + | 0.271037i | \(0.0873667\pi\) | |||||||
\(282\) | −0.923955 | − | 2.42243i | −0.0550207 | − | 0.144253i | ||||
\(283\) | 5.25221 | + | 17.0273i | 0.312212 | + | 1.01217i | 0.966661 | + | 0.256060i | \(0.0824243\pi\) |
−0.654449 | + | 0.756106i | \(0.727099\pi\) | |||||||
\(284\) | 14.5948 | + | 26.4403i | 0.866041 | + | 1.56894i | ||||
\(285\) | 0.312602 | − | 1.01343i | 0.0185170 | − | 0.0600305i | ||||
\(286\) | −18.7002 | − | 4.45778i | −1.10577 | − | 0.263594i | ||||
\(287\) | −5.23315 | + | 2.06388i | −0.308903 | + | 0.121827i | ||||
\(288\) | 6.73141 | + | 1.88089i | 0.396652 | + | 0.110832i | ||||
\(289\) | 6.54027 | + | 16.6643i | 0.384722 | + | 0.980255i | ||||
\(290\) | 1.74687 | − | 0.986287i | 0.102580 | − | 0.0579168i | ||||
\(291\) | 2.36248 | − | 15.6741i | 0.138491 | − | 0.918830i | ||||
\(292\) | −15.5726 | + | 2.04180i | −0.911319 | + | 0.119487i | ||||
\(293\) | 16.1698i | 0.944650i | 0.881425 | + | 0.472325i | \(0.156585\pi\) | ||||
−0.881425 | + | 0.472325i | \(0.843415\pi\) | |||||||
\(294\) | 0.900101 | + | 13.1190i | 0.0524949 | + | 0.765114i | ||||
\(295\) | 4.50077 | 0.262045 | ||||||||
\(296\) | 2.33068 | − | 1.49244i | 0.135468 | − | 0.0867461i | ||||
\(297\) | 21.1142 | + | 3.18245i | 1.22517 | + | 0.184664i | ||||
\(298\) | −16.7311 | − | 29.6335i | −0.969207 | − | 1.71662i | ||||
\(299\) | 27.6527 | − | 10.8529i | 1.59920 | − | 0.627639i | ||||
\(300\) | −0.245961 | + | 12.7900i | −0.0142005 | + | 0.738428i | ||||
\(301\) | −18.4766 | + | 2.81625i | −1.06497 | + | 0.162326i | ||||
\(302\) | −0.214294 | − | 0.0510837i | −0.0123312 | − | 0.00293954i | ||||
\(303\) | −12.8527 | − | 3.96453i | −0.738369 | − | 0.227757i | ||||
\(304\) | −1.38880 | + | 7.29773i | −0.0796529 | + | 0.418553i | ||||
\(305\) | −4.05857 | + | 1.25190i | −0.232393 | + | 0.0716837i | ||||
\(306\) | 9.64497 | − | 3.67876i | 0.551366 | − | 0.210301i | ||||
\(307\) | 22.1477 | + | 5.05506i | 1.26403 | + | 0.288507i | 0.801447 | − | 0.598066i | \(-0.204064\pi\) |
0.462587 | + | 0.886574i | \(0.346921\pi\) | |||||||
\(308\) | −14.9592 | + | 13.3988i | −0.852378 | + | 0.763466i | ||||
\(309\) | 6.22867 | − | 1.42165i | 0.354337 | − | 0.0808750i | ||||
\(310\) | 3.63861 | − | 2.42985i | 0.206659 | − | 0.138006i | ||||
\(311\) | 17.9489 | + | 12.2373i | 1.01779 | + | 0.693915i | 0.952684 | − | 0.303963i | \(-0.0983101\pi\) |
0.0651028 | + | 0.997879i | \(0.479262\pi\) | |||||||
\(312\) | −3.59402 | − | 12.9682i | −0.203472 | − | 0.734178i | ||||
\(313\) | 4.16084 | − | 7.20678i | 0.235185 | − | 0.407352i | −0.724142 | − | 0.689651i | \(-0.757764\pi\) |
0.959326 | + | 0.282300i | \(0.0910972\pi\) | |||||||
\(314\) | −0.322338 | + | 0.396322i | −0.0181906 | + | 0.0223657i | ||||
\(315\) | −1.26716 | − | 0.607645i | −0.0713964 | − | 0.0342369i | ||||
\(316\) | 17.0186 | − | 7.79622i | 0.957368 | − | 0.438572i | ||||
\(317\) | −1.15606 | − | 1.69563i | −0.0649308 | − | 0.0952359i | 0.792400 | − | 0.610002i | \(-0.208831\pi\) |
−0.857331 | + | 0.514766i | \(0.827879\pi\) | |||||||
\(318\) | 4.53040 | + | 1.82851i | 0.254052 | + | 0.102538i | ||||
\(319\) | −9.17978 | + | 8.51759i | −0.513969 | + | 0.476893i | ||||
\(320\) | 0.315670 | + | 3.42471i | 0.0176465 | + | 0.191447i | ||||
\(321\) | −4.13785 | − | 1.99269i | −0.230953 | − | 0.111221i | ||||
\(322\) | 7.14581 | − | 30.1984i | 0.398220 | − | 1.68289i | ||||
\(323\) | 4.76047 | + | 9.88523i | 0.264880 | + | 0.550029i | ||||
\(324\) | 2.61702 | + | 7.06454i | 0.145390 | + | 0.392474i | ||||
\(325\) | −14.9362 | + | 8.62341i | −0.828510 | + | 0.478341i | ||||
\(326\) | −12.6933 | − | 2.03820i | −0.703017 | − | 0.112886i | ||||
\(327\) | 11.6867 | − | 1.76149i | 0.646278 | − | 0.0974107i | ||||
\(328\) | 0.173431 | − | 6.01134i | 0.00957611 | − | 0.331921i | ||||
\(329\) | −1.08209 | − | 3.48749i | −0.0596573 | − | 0.192271i | ||||
\(330\) | 0.653266 | + | 2.99457i | 0.0359611 | + | 0.164846i | ||||
\(331\) | 20.5534 | + | 1.54027i | 1.12972 | + | 0.0846606i | 0.626444 | − | 0.779466i | \(-0.284510\pi\) |
0.503274 | + | 0.864127i | \(0.332129\pi\) | |||||||
\(332\) | −31.3190 | − | 12.9921i | −1.71885 | − | 0.713036i | ||||
\(333\) | −1.12538 | − | 0.441680i | −0.0616706 | − | 0.0242039i | ||||
\(334\) | −1.96289 | − | 13.9304i | −0.107404 | − | 0.762235i | ||||
\(335\) | 3.55220 | − | 4.45432i | 0.194077 | − | 0.243365i | ||||
\(336\) | −13.2717 | − | 4.63499i | −0.724028 | − | 0.252859i | ||||
\(337\) | −7.66886 | − | 9.61644i | −0.417749 | − | 0.523841i | 0.527779 | − | 0.849382i | \(-0.323025\pi\) |
−0.945528 | + | 0.325541i | \(0.894454\pi\) | |||||||
\(338\) | −0.166199 | + | 0.175702i | −0.00904006 | + | 0.00955692i | ||||
\(339\) | 2.97440 | − | 0.222901i | 0.161547 | − | 0.0121063i | ||||
\(340\) | 3.38274 | + | 3.78931i | 0.183455 | + | 0.205504i | ||||
\(341\) | −18.5773 | + | 20.0216i | −1.00602 | + | 1.08423i | ||||
\(342\) | 2.93710 | − | 1.37981i | 0.158820 | − | 0.0746114i | ||||
\(343\) | 0.0921656 | + | 18.5200i | 0.00497647 | + | 0.999988i | ||||
\(344\) | 5.00598 | − | 19.3432i | 0.269904 | − | 1.04291i | ||||
\(345\) | −3.47187 | − | 3.22142i | −0.186919 | − | 0.173435i | ||||
\(346\) | −11.1768 | + | 3.33025i | −0.600868 | + | 0.179035i | ||||
\(347\) | −25.2991 | + | 1.89591i | −1.35813 | + | 0.101778i | −0.733790 | − | 0.679377i | \(-0.762250\pi\) |
−0.624338 | + | 0.781154i | \(0.714631\pi\) | |||||||
\(348\) | −8.32523 | − | 2.74437i | −0.446279 | − | 0.147114i | ||||
\(349\) | −17.5051 | + | 13.9598i | −0.937025 | + | 0.747252i | −0.967655 | − | 0.252278i | \(-0.918820\pi\) |
0.0306299 | + | 0.999531i | \(0.490249\pi\) | |||||||
\(350\) | −1.48928 | + | 17.9551i | −0.0796053 | + | 0.959741i | ||||
\(351\) | −12.5644 | + | 15.7552i | −0.670636 | + | 0.840951i | ||||
\(352\) | −6.87413 | − | 20.3388i | −0.366392 | − | 1.08406i | ||||
\(353\) | 1.25126 | − | 3.18816i | 0.0665980 | − | 0.169689i | −0.893700 | − | 0.448665i | \(-0.851900\pi\) |
0.960298 | + | 0.278976i | \(0.0899950\pi\) | |||||||
\(354\) | −13.2377 | − | 14.5448i | −0.703576 | − | 0.773049i | ||||
\(355\) | 6.47359 | + | 0.485128i | 0.343582 | + | 0.0257479i | ||||
\(356\) | 8.12963 | + | 10.6063i | 0.430870 | + | 0.562135i | ||||
\(357\) | −19.8299 | + | 6.15275i | −1.04951 | + | 0.325638i | ||||
\(358\) | −5.65042 | − | 7.22685i | −0.298634 | − | 0.381951i | ||||
\(359\) | −1.84365 | + | 0.277886i | −0.0973042 | + | 0.0146662i | −0.197514 | − | 0.980300i | \(-0.563287\pi\) |
0.100210 | + | 0.994966i | \(0.468049\pi\) | |||||||
\(360\) | 1.13031 | − | 0.989674i | 0.0595727 | − | 0.0521604i | ||||
\(361\) | −7.77545 | − | 13.4675i | −0.409234 | − | 0.708815i | ||||
\(362\) | −2.30718 | + | 27.2668i | −0.121263 | + | 1.43311i | ||||
\(363\) | −1.96170 | − | 4.07351i | −0.102962 | − | 0.213804i | ||||
\(364\) | −3.89213 | − | 18.5489i | −0.204003 | − | 0.972228i | ||||
\(365\) | −1.46480 | + | 3.04168i | −0.0766710 | + | 0.159209i | ||||
\(366\) | 15.9828 | + | 9.43369i | 0.835433 | + | 0.493107i | ||||
\(367\) | −9.72942 | + | 9.02758i | −0.507871 | + | 0.471236i | −0.891995 | − | 0.452046i | \(-0.850694\pi\) |
0.384123 | + | 0.923282i | \(0.374504\pi\) | |||||||
\(368\) | 26.6717 | + | 19.7282i | 1.39036 | + | 1.02840i | ||||
\(369\) | −2.17054 | + | 1.47985i | −0.112994 | + | 0.0770379i | ||||
\(370\) | 0.00571935 | − | 0.594867i | 0.000297335 | − | 0.0309257i | ||||
\(371\) | 6.20427 | + | 2.97515i | 0.322110 | + | 0.154462i | ||||
\(372\) | −18.5543 | − | 4.61195i | −0.961995 | − | 0.239118i | ||||
\(373\) | 8.05133 | + | 4.64844i | 0.416882 | + | 0.240687i | 0.693742 | − | 0.720223i | \(-0.255961\pi\) |
−0.276860 | + | 0.960910i | \(0.589294\pi\) | |||||||
\(374\) | −26.0259 | − | 18.1131i | −1.34577 | − | 0.936606i | ||||
\(375\) | 4.63107 | + | 3.15741i | 0.239148 | + | 0.163048i | ||||
\(376\) | 3.88267 | + | 0.403857i | 0.200234 | + | 0.0208273i | ||||
\(377\) | −2.62983 | − | 11.5220i | −0.135443 | − | 0.593415i | ||||
\(378\) | 6.04475 | + | 20.1648i | 0.310909 | + | 1.03716i | ||||
\(379\) | −3.43812 | − | 0.784728i | −0.176604 | − | 0.0403087i | 0.133304 | − | 0.991075i | \(-0.457441\pi\) |
−0.309908 | + | 0.950766i | \(0.600298\pi\) | |||||||
\(380\) | 1.14945 | + | 1.10841i | 0.0589654 | + | 0.0568604i | ||||
\(381\) | 1.73825 | + | 5.63525i | 0.0890530 | + | 0.288703i | ||||
\(382\) | −4.03614 | + | 0.263472i | −0.206507 | + | 0.0134804i | ||||
\(383\) | −14.4957 | − | 4.47133i | −0.740696 | − | 0.228474i | −0.0986303 | − | 0.995124i | \(-0.531446\pi\) |
−0.642066 | + | 0.766650i | \(0.721922\pi\) | |||||||
\(384\) | 10.1390 | − | 11.0929i | 0.517402 | − | 0.566083i | ||||
\(385\) | 0.650459 | + | 4.26747i | 0.0331505 | + | 0.217490i | ||||
\(386\) | −6.63433 | + | 13.4441i | −0.337679 | + | 0.684289i | ||||
\(387\) | −8.12468 | + | 3.18870i | −0.413001 | + | 0.162091i | ||||
\(388\) | 19.4570 | + | 13.8210i | 0.987781 | + | 0.701653i | ||||
\(389\) | 2.70183 | − | 17.9255i | 0.136988 | − | 0.908858i | −0.809732 | − | 0.586800i | \(-0.800387\pi\) |
0.946720 | − | 0.322058i | \(-0.104375\pi\) | |||||||
\(390\) | −2.75577 | − | 0.879144i | −0.139544 | − | 0.0445172i | ||||
\(391\) | 48.9976 | 2.47791 | ||||||||
\(392\) | −18.2397 | − | 7.70141i | −0.921246 | − | 0.388980i | ||||
\(393\) | 14.1270 | 0.712611 | ||||||||
\(394\) | −21.8566 | − | 6.97269i | −1.10112 | − | 0.351279i | ||||
\(395\) | 0.599709 | − | 3.97881i | 0.0301746 | − | 0.200195i | ||||
\(396\) | −5.43097 | + | 7.64568i | −0.272917 | + | 0.384210i | ||||
\(397\) | −3.01373 | + | 1.18280i | −0.151255 | + | 0.0593632i | −0.439761 | − | 0.898115i | \(-0.644937\pi\) |
0.288506 | + | 0.957478i | \(0.406842\pi\) | |||||||
\(398\) | 0.767765 | − | 1.55584i | 0.0384846 | − | 0.0779871i | ||||
\(399\) | −6.07177 | + | 2.39463i | −0.303969 | + | 0.119881i | ||||
\(400\) | −17.0192 | − | 9.01793i | −0.850959 | − | 0.450896i | ||||
\(401\) | −12.1303 | − | 3.74170i | −0.605758 | − | 0.186852i | −0.0233220 | − | 0.999728i | \(-0.507424\pi\) |
−0.582436 | + | 0.812876i | \(0.697900\pi\) | |||||||
\(402\) | −24.8425 | + | 1.62167i | −1.23903 | + | 0.0808815i | ||||
\(403\) | −7.59772 | − | 24.6312i | −0.378470 | − | 1.22697i | ||||
\(404\) | 14.0573 | − | 14.5777i | 0.699378 | − | 0.725268i | ||||
\(405\) | 1.57878 | + | 0.360346i | 0.0784502 | + | 0.0179057i | ||||
\(406\) | −11.4563 | − | 4.60176i | −0.568565 | − | 0.228382i | ||||
\(407\) | 0.826346 | + | 3.62046i | 0.0409605 | + | 0.179459i | ||||
\(408\) | 2.29633 | − | 22.0769i | 0.113686 | − | 1.09297i | ||||
\(409\) | 13.9418 | + | 9.50537i | 0.689378 | + | 0.470010i | 0.856648 | − | 0.515901i | \(-0.172543\pi\) |
−0.167270 | + | 0.985911i | \(0.553495\pi\) | |||||||
\(410\) | −1.06102 | − | 0.738431i | −0.0523999 | − | 0.0364685i | ||||
\(411\) | −18.6662 | − | 10.7769i | −0.920737 | − | 0.531588i | ||||
\(412\) | −2.32043 | + | 9.33529i | −0.114319 | + | 0.459917i | ||||
\(413\) | −17.3060 | − | 21.6273i | −0.851571 | − | 1.06421i | ||||
\(414\) | 0.139325 | − | 14.4911i | 0.00684743 | − | 0.712198i | ||||
\(415\) | −6.02191 | + | 4.10567i | −0.295604 | + | 0.201539i | ||||
\(416\) | 19.8669 | + | 3.97907i | 0.974056 | + | 0.195090i | ||||
\(417\) | −5.72820 | + | 5.31500i | −0.280511 | + | 0.260277i | ||||
\(418\) | −8.58417 | − | 5.06673i | −0.419865 | − | 0.247822i | ||||
\(419\) | 9.30669 | − | 19.3256i | 0.454662 | − | 0.944115i | −0.540072 | − | 0.841619i | \(-0.681603\pi\) |
0.994733 | − | 0.102496i | \(-0.0326828\pi\) | |||||||
\(420\) | −2.39522 | + | 1.84223i | −0.116875 | + | 0.0898914i | ||||
\(421\) | −6.37277 | − | 13.2332i | −0.310590 | − | 0.644946i | 0.685987 | − | 0.727613i | \(-0.259370\pi\) |
−0.996577 | + | 0.0826670i | \(0.973656\pi\) | |||||||
\(422\) | 1.89259 | − | 22.3670i | 0.0921298 | − | 1.08881i | ||||
\(423\) | −0.852605 | − | 1.47676i | −0.0414551 | − | 0.0718023i | ||||
\(424\) | −5.53424 | + | 4.84564i | −0.268766 | + | 0.235325i | ||||
\(425\) | −28.1293 | + | 4.23981i | −1.36447 | + | 0.205661i | ||||
\(426\) | −17.4724 | − | 22.3471i | −0.846541 | − | 1.08272i | ||||
\(427\) | 21.6213 | + | 14.6887i | 1.04633 | + | 0.710836i | ||||
\(428\) | 5.48822 | − | 4.20666i | 0.265283 | − | 0.203336i | ||||
\(429\) | 18.0063 | + | 1.34938i | 0.869351 | + | 0.0651488i | ||||
\(430\) | −2.89082 | − | 3.17627i | −0.139408 | − | 0.153174i | ||||
\(431\) | 1.45018 | − | 3.69500i | 0.0698528 | − | 0.177982i | −0.891684 | − | 0.452659i | \(-0.850476\pi\) |
0.961537 | + | 0.274677i | \(0.0885708\pi\) | |||||||
\(432\) | −22.3606 | − | 2.54337i | −1.07582 | − | 0.122368i | ||||
\(433\) | 20.2700 | − | 25.4178i | 0.974115 | − | 1.22150i | −0.00104491 | − | 0.999999i | \(-0.500333\pi\) |
0.975160 | − | 0.221502i | \(-0.0710960\pi\) | |||||||
\(434\) | −25.6669 | − | 8.14135i | −1.23205 | − | 0.390797i | ||||
\(435\) | −1.47316 | + | 1.17481i | −0.0706328 | + | 0.0563278i | ||||
\(436\) | −5.57111 | + | 16.9003i | −0.266808 | + | 0.809378i | ||||
\(437\) | 15.3599 | − | 1.15106i | 0.734762 | − | 0.0550628i | ||||
\(438\) | 14.1379 | − | 4.21253i | 0.675534 | − | 0.201283i | ||||
\(439\) | 11.5167 | + | 10.6859i | 0.549660 | + | 0.510010i | 0.905391 | − | 0.424578i | \(-0.139578\pi\) |
−0.355731 | + | 0.934588i | \(0.615768\pi\) | |||||||
\(440\) | −4.46762 | − | 1.15621i | −0.212985 | − | 0.0551202i | ||||
\(441\) | 1.95249 | + | 8.42548i | 0.0929758 | + | 0.401213i | ||||
\(442\) | 27.0851 | − | 12.7242i | 1.28831 | − | 0.605228i | ||||
\(443\) | −4.90417 | + | 5.28544i | −0.233004 | + | 0.251119i | −0.838721 | − | 0.544562i | \(-0.816696\pi\) |
0.605717 | + | 0.795680i | \(0.292886\pi\) | |||||||
\(444\) | −1.93921 | + | 1.73115i | −0.0920310 | + | 0.0821565i | ||||
\(445\) | 2.86450 | − | 0.214664i | 0.135790 | − | 0.0101761i | ||||
\(446\) | −15.0212 | + | 15.8801i | −0.711277 | + | 0.751944i | ||||
\(447\) | 19.9291 | + | 24.9904i | 0.942616 | + | 1.18200i | ||||
\(448\) | 15.2428 | − | 14.6853i | 0.720154 | − | 0.693814i | ||||
\(449\) | −15.1065 | + | 18.9429i | −0.712917 | + | 0.893970i | −0.997914 | − | 0.0645583i | \(-0.979436\pi\) |
0.284996 | + | 0.958529i | \(0.408008\pi\) | |||||||
\(450\) | 1.17394 | + | 8.33132i | 0.0553402 | + | 0.392742i | ||||
\(451\) | 7.51164 | + | 2.94810i | 0.353709 | + | 0.138821i | ||||
\(452\) | −1.72081 | + | 4.14820i | −0.0809401 | + | 0.195115i | ||||
\(453\) | 0.206342 | + | 0.0154632i | 0.00969479 | + | 0.000726524i | ||||
\(454\) | 6.80896 | + | 31.2123i | 0.319561 | + | 1.46486i | ||||
\(455\) | −3.79480 | − | 1.48209i | −0.177903 | − | 0.0694815i | ||||
\(456\) | 0.201223 | − | 6.97467i | 0.00942315 | − | 0.326619i | ||||
\(457\) | 24.4772 | − | 3.68935i | 1.14500 | − | 0.172580i | 0.450976 | − | 0.892536i | \(-0.351076\pi\) |
0.694020 | + | 0.719955i | \(0.255838\pi\) | |||||||
\(458\) | 14.2917 | + | 2.29486i | 0.667806 | + | 0.107232i | ||||
\(459\) | −28.7852 | + | 16.6191i | −1.34358 | + | 0.775715i | ||||
\(460\) | 6.68695 | − | 2.47714i | 0.311781 | − | 0.115497i | ||||
\(461\) | 5.32533 | + | 11.0582i | 0.248025 | + | 0.515030i | 0.987396 | − | 0.158269i | \(-0.0505912\pi\) |
−0.739371 | + | 0.673298i | \(0.764877\pi\) | |||||||
\(462\) | 11.8778 | − | 14.6536i | 0.552603 | − | 0.681745i | ||||
\(463\) | −9.13619 | − | 4.39976i | −0.424595 | − | 0.204474i | 0.209369 | − | 0.977837i | \(-0.432859\pi\) |
−0.633964 | + | 0.773363i | \(0.718573\pi\) | |||||||
\(464\) | 9.34252 | − | 9.32279i | 0.433715 | − | 0.432800i | ||||
\(465\) | −3.01258 | + | 2.79526i | −0.139705 | + | 0.129627i | ||||
\(466\) | −14.0742 | − | 5.68047i | −0.651975 | − | 0.263143i | ||||
\(467\) | −5.75198 | − | 8.43660i | −0.266170 | − | 0.390400i | 0.669765 | − | 0.742573i | \(-0.266395\pi\) |
−0.935935 | + | 0.352174i | \(0.885443\pi\) | |||||||
\(468\) | −3.68618 | − | 8.04664i | −0.170394 | − | 0.371956i | ||||
\(469\) | −35.0627 | + | 0.0581631i | −1.61904 | + | 0.00268572i | ||||
\(470\) | 0.529447 | − | 0.650968i | 0.0244216 | − | 0.0300269i | ||||
\(471\) | 0.239916 | − | 0.415546i | 0.0110547 | − | 0.0191474i | ||||
\(472\) | 28.5359 | − | 7.90850i | 1.31347 | − | 0.364018i | ||||
\(473\) | 22.1515 | + | 15.1026i | 1.01853 | + | 0.694419i | ||||
\(474\) | −14.6219 | + | 9.76446i | −0.671606 | + | 0.448496i | ||||
\(475\) | −8.71843 | + | 1.98992i | −0.400029 | + | 0.0913040i | ||||
\(476\) | 5.20157 | − | 30.8252i | 0.238414 | − | 1.41287i | ||||
\(477\) | 3.13266 | + | 0.715010i | 0.143435 | + | 0.0327381i | ||||
\(478\) | −32.2252 | + | 12.2912i | −1.47394 | + | 0.562188i | ||||
\(479\) | −22.7119 | + | 7.00570i | −1.03773 | + | 0.320099i | −0.766385 | − | 0.642382i | \(-0.777946\pi\) |
−0.271350 | + | 0.962481i | \(0.587470\pi\) | |||||||
\(480\) | −0.802738 | − | 3.12904i | −0.0366398 | − | 0.142821i | ||||
\(481\) | −3.34899 | − | 1.03303i | −0.152701 | − | 0.0471020i | ||||
\(482\) | 32.8768 | + | 7.83722i | 1.49750 | + | 0.356975i | ||||
\(483\) | −2.13000 | + | 29.0699i | −0.0969184 | + | 1.32273i | ||||
\(484\) | 6.80616 | + | 0.130888i | 0.309371 | + | 0.00594944i | ||||
\(485\) | 4.77546 | − | 1.87423i | 0.216842 | − | 0.0851044i | ||||
\(486\) | 8.25666 | + | 14.6239i | 0.374530 | + | 0.663352i | ||||
\(487\) | 23.5607 | + | 3.55120i | 1.06764 | + | 0.160920i | 0.659277 | − | 0.751901i | \(-0.270863\pi\) |
0.408360 | + | 0.912821i | \(0.366101\pi\) | |||||||
\(488\) | −23.5324 | + | 15.0688i | −1.06526 | + | 0.682133i | ||||
\(489\) | 12.0752 | 0.546059 | ||||||||
\(490\) | −3.53136 | + | 2.37521i | −0.159530 | + | 0.107301i | ||||
\(491\) | 28.5936i | 1.29041i | 0.764009 | + | 0.645206i | \(0.223228\pi\) | ||||
−0.764009 | + | 0.645206i | \(0.776772\pi\) | |||||||
\(492\) | 0.734335 | + | 5.60070i | 0.0331064 | + | 0.252499i | ||||
\(493\) | 2.90532 | − | 19.2755i | 0.130849 | − | 0.868126i | ||||
\(494\) | 8.19179 | − | 4.62510i | 0.368566 | − | 0.208093i | ||||
\(495\) | 0.736482 | + | 1.87653i | 0.0331024 | + | 0.0843436i | ||||
\(496\) | 18.8000 | − | 21.7993i | 0.844145 | − | 0.978820i | ||||
\(497\) | −22.5605 | − | 32.9725i | −1.01198 | − | 1.47902i | ||||
\(498\) | 30.9797 | + | 7.38497i | 1.38823 | + | 0.330929i | ||||
\(499\) | −11.4491 | + | 37.1172i | −0.512534 | + | 1.66159i | 0.215850 | + | 0.976426i | \(0.430748\pi\) |
−0.728385 | + | 0.685168i | \(0.759729\pi\) | |||||||
\(500\) | −7.38831 | + | 4.07828i | −0.330415 | + | 0.182386i | ||||
\(501\) | 3.89479 | + | 12.6266i | 0.174006 | + | 0.564115i | ||||
\(502\) | 0.485198 | + | 1.27209i | 0.0216555 | + | 0.0567763i | ||||
\(503\) | −5.53284 | + | 24.2410i | −0.246697 | + | 1.08085i | 0.688085 | + | 0.725630i | \(0.258452\pi\) |
−0.934782 | + | 0.355221i | \(0.884406\pi\) | |||||||
\(504\) | −9.10180 | − | 1.62602i | −0.405426 | − | 0.0724288i | ||||
\(505\) | −0.968649 | − | 4.24393i | −0.0431043 | − | 0.188852i | ||||
\(506\) | −37.0191 | + | 24.7212i | −1.64570 | + | 1.09899i | ||||
\(507\) | 0.127968 | − | 0.187694i | 0.00568324 | − | 0.00833578i | ||||
\(508\) | −8.75295 | − | 1.49195i | −0.388349 | − | 0.0661944i | ||||
\(509\) | 9.02074 | + | 5.20813i | 0.399837 | + | 0.230846i | 0.686414 | − | 0.727211i | \(-0.259184\pi\) |
−0.286577 | + | 0.958057i | \(0.592517\pi\) | |||||||
\(510\) | −3.70141 | − | 3.01044i | −0.163901 | − | 0.133305i | ||||
\(511\) | 20.2483 | − | 4.65690i | 0.895734 | − | 0.206009i | ||||
\(512\) | 8.01913 | + | 21.1588i | 0.354399 | + | 0.935094i | ||||
\(513\) | −8.63323 | + | 5.88603i | −0.381166 | + | 0.259875i | ||||
\(514\) | −5.54798 | − | 2.23921i | −0.244711 | − | 0.0987674i | ||||
\(515\) | 1.40639 | + | 1.51573i | 0.0619731 | + | 0.0667911i | ||||
\(516\) | −1.76203 | + | 18.6842i | −0.0775693 | + | 0.822524i | ||||
\(517\) | −2.27265 | + | 4.71921i | −0.0999512 | + | 0.207551i | ||||
\(518\) | −2.88047 | + | 2.25985i | −0.126561 | + | 0.0992920i | ||||
\(519\) | 9.86934 | − | 4.75283i | 0.433216 | − | 0.208626i | ||||
\(520\) | 3.05316 | − | 3.10586i | 0.133890 | − | 0.136201i | ||||
\(521\) | −1.82110 | − | 3.15424i | −0.0797839 | − | 0.138190i | 0.823373 | − | 0.567501i | \(-0.192090\pi\) |
−0.903157 | + | 0.429311i | \(0.858756\pi\) | |||||||
\(522\) | −5.69250 | − | 0.914061i | −0.249154 | − | 0.0400074i | ||||
\(523\) | −1.16673 | − | 7.74077i | −0.0510177 | − | 0.338480i | −0.999749 | − | 0.0223971i | \(-0.992870\pi\) |
0.948731 | − | 0.316083i | \(-0.102368\pi\) | |||||||
\(524\) | −9.59557 | + | 18.9828i | −0.419185 | + | 0.829269i | ||||
\(525\) | −1.29262 | − | 16.8732i | −0.0564147 | − | 0.736407i | ||||
\(526\) | 5.30268 | − | 1.15678i | 0.231208 | − | 0.0504380i | ||||
\(527\) | 3.17721 | − | 42.3969i | 0.138401 | − | 1.84684i | ||||
\(528\) | 9.40374 | + | 17.8384i | 0.409245 | + | 0.776315i | ||||
\(529\) | 16.7276 | − | 42.6212i | 0.727286 | − | 1.85309i | ||||
\(530\) | 0.220615 | + | 1.56568i | 0.00958292 | + | 0.0680088i | ||||
\(531\) | −10.1131 | − | 8.06492i | −0.438871 | − | 0.349988i | ||||
\(532\) | 0.906447 | − | 9.78535i | 0.0392994 | − | 0.424249i | ||||
\(533\) | −5.95410 | + | 4.74824i | −0.257901 | + | 0.205669i | ||||
\(534\) | −9.11879 | − | 8.62562i | −0.394609 | − | 0.373267i | ||||
\(535\) | −0.111077 | − | 1.48223i | −0.00480230 | − | 0.0640822i | ||||
\(536\) | 14.6949 | − | 34.4831i | 0.634722 | − | 1.48944i | ||||
\(537\) | 6.31633 | + | 5.86070i | 0.272570 | + | 0.252908i | ||||
\(538\) | 39.0931 | − | 18.3653i | 1.68542 | − | 0.791786i | ||||
\(539\) | 18.0051 | − | 19.5345i | 0.775536 | − | 0.841411i | ||||
\(540\) | −3.08826 | + | 3.72338i | −0.132897 | + | 0.160229i | ||||
\(541\) | −10.8355 | + | 11.6779i | −0.465856 | + | 0.502073i | −0.921655 | − | 0.388009i | \(-0.873163\pi\) |
0.455800 | + | 0.890082i | \(0.349353\pi\) | |||||||
\(542\) | 1.57105 | + | 5.27267i | 0.0674823 | + | 0.226480i | ||||
\(543\) | −1.92075 | − | 25.6306i | −0.0824271 | − | 1.09991i | ||||
\(544\) | 28.1057 | + | 18.0811i | 1.20502 | + | 0.775223i | ||||
\(545\) | 2.38487 | + | 2.99054i | 0.102157 | + | 0.128101i | ||||
\(546\) | 6.37173 | + | 16.6225i | 0.272685 | + | 0.711379i | ||||
\(547\) | 13.6772 | + | 10.9072i | 0.584796 | + | 0.466359i | 0.870643 | − | 0.491916i | \(-0.163703\pi\) |
−0.285846 | + | 0.958275i | \(0.592275\pi\) | |||||||
\(548\) | 27.1601 | − | 17.7623i | 1.16022 | − | 0.758766i | ||||
\(549\) | 11.3628 | + | 4.45955i | 0.484951 | + | 0.190329i | ||||
\(550\) | 19.1133 | − | 17.3956i | 0.814996 | − | 0.741753i | ||||
\(551\) | 0.457940 | − | 6.11079i | 0.0195089 | − | 0.260328i | ||||
\(552\) | −27.6729 | − | 14.3240i | −1.17784 | − | 0.609668i | ||||
\(553\) | −21.4251 | + | 12.4172i | −0.911087 | + | 0.528033i | ||||
\(554\) | 20.1486 | + | 25.7699i | 0.856032 | + | 1.09486i | ||||
\(555\) | 0.0832801 | + | 0.552527i | 0.00353504 | + | 0.0234535i | ||||
\(556\) | −3.25111 | − | 11.3073i | −0.137878 | − | 0.479537i | ||||
\(557\) | 5.69673 | − | 3.28901i | 0.241378 | − | 0.139360i | −0.374432 | − | 0.927254i | \(-0.622162\pi\) |
0.615810 | + | 0.787895i | \(0.288829\pi\) | |||||||
\(558\) | −12.5299 | − | 1.06022i | −0.530432 | − | 0.0448826i | ||||
\(559\) | −22.7964 | + | 10.9782i | −0.964184 | + | 0.464327i | ||||
\(560\) | −0.848528 | − | 4.46985i | −0.0358568 | − | 0.188886i | ||||
\(561\) | 26.8335 | + | 12.9223i | 1.13291 | + | 0.545581i | ||||
\(562\) | 2.04361 | + | 1.20622i | 0.0862044 | + | 0.0508814i | ||||
\(563\) | −9.39664 | − | 10.1272i | −0.396021 | − | 0.426809i | 0.503291 | − | 0.864117i | \(-0.332122\pi\) |
−0.899312 | + | 0.437308i | \(0.855932\pi\) | |||||||
\(564\) | −3.66090 | + | 0.203651i | −0.154152 | + | 0.00857526i | ||||
\(565\) | 0.543796 | + | 0.797602i | 0.0228777 | + | 0.0335554i | ||||
\(566\) | 25.1986 | + | 0.242272i | 1.05917 | + | 0.0101834i | ||||
\(567\) | −4.33903 | − | 8.97199i | −0.182222 | − | 0.376788i | ||||
\(568\) | 41.8964 | − | 8.29920i | 1.75794 | − | 0.348227i | ||||
\(569\) | −10.3912 | + | 17.9980i | −0.435620 | + | 0.754516i | −0.997346 | − | 0.0728075i | \(-0.976804\pi\) |
0.561726 | + | 0.827323i | \(0.310137\pi\) | |||||||
\(570\) | −1.23105 | − | 0.856766i | −0.0515629 | − | 0.0358860i | ||||
\(571\) | 13.2291 | − | 19.4035i | 0.553619 | − | 0.812010i | −0.442795 | − | 0.896623i | \(-0.646013\pi\) |
0.996414 | + | 0.0846128i | \(0.0269653\pi\) | |||||||
\(572\) | −14.0437 | + | 23.2790i | −0.587199 | + | 0.973345i | ||||
\(573\) | 3.70385 | − | 0.845380i | 0.154731 | − | 0.0353163i | ||||
\(574\) | 0.531389 | + | 7.93779i | 0.0221798 | + | 0.331317i | ||||
\(575\) | −8.88657 | + | 38.9346i | −0.370596 | + | 1.62369i | ||||
\(576\) | 5.42744 | − | 8.26087i | 0.226143 | − | 0.344203i | ||||
\(577\) | −36.2247 | + | 11.1738i | −1.50805 | + | 0.465173i | −0.935090 | − | 0.354409i | \(-0.884682\pi\) |
−0.572962 | + | 0.819582i | \(0.694206\pi\) | |||||||
\(578\) | 25.2632 | − | 1.64914i | 1.05081 | − | 0.0685950i | ||||
\(579\) | 4.15061 | − | 13.4559i | 0.172493 | − | 0.559210i | ||||
\(580\) | −0.577998 | − | 2.77751i | −0.0240001 | − | 0.115330i | ||||
\(581\) | 42.8836 | + | 13.1500i | 1.77911 | + | 0.545553i | ||||
\(582\) | −20.1024 | − | 9.92003i | −0.833273 | − | 0.411199i | ||||
\(583\) | −3.60597 | − | 9.18785i | −0.149344 | − | 0.380522i | ||||
\(584\) | −3.94247 | + | 21.8588i | −0.163141 | + | 0.904524i | ||||
\(585\) | −1.88124 | − | 0.283552i | −0.0777798 | − | 0.0117234i | ||||
\(586\) | 21.7858 | + | 6.95010i | 0.899963 | + | 0.287106i | ||||
\(587\) | 15.7689i | 0.650854i | 0.945567 | + | 0.325427i | \(0.105508\pi\) | ||||
−0.945567 | + | 0.325427i | \(0.894492\pi\) | |||||||
\(588\) | 18.0622 | + | 4.42607i | 0.744875 | + | 0.182528i | ||||
\(589\) | − | 13.3653i | − | 0.550708i | ||||||
\(590\) | 1.93452 | − | 6.06395i | 0.0796429 | − | 0.249649i | ||||
\(591\) | 21.3080 | + | 3.21166i | 0.876494 | + | 0.132110i | ||||
\(592\) | −1.00901 | − | 3.78164i | −0.0414699 | − | 0.155425i | ||||
\(593\) | 2.81806 | + | 7.18029i | 0.115724 | + | 0.294859i | 0.976987 | − | 0.213300i | \(-0.0684213\pi\) |
−0.861263 | + | 0.508160i | \(0.830326\pi\) | |||||||
\(594\) | 13.3630 | − | 27.0795i | 0.548292 | − | 1.11109i | ||||
\(595\) | −4.93340 | − | 4.56232i | −0.202250 | − | 0.187037i | ||||
\(596\) | −47.1170 | + | 9.80501i | −1.92999 | + | 0.401629i | ||||
\(597\) | −0.480334 | + | 1.55720i | −0.0196587 | + | 0.0637321i | ||||
\(598\) | −2.73657 | − | 41.9217i | −0.111907 | − | 1.71430i | ||||
\(599\) | 11.5245 | − | 3.55484i | 0.470879 | − | 0.145247i | −0.0502292 | − | 0.998738i | \(-0.515995\pi\) |
0.521108 | + | 0.853491i | \(0.325519\pi\) | |||||||
\(600\) | 17.1264 | + | 5.82876i | 0.699181 | + | 0.237958i | ||||
\(601\) | 7.38309 | − | 32.3474i | 0.301162 | − | 1.31948i | −0.567213 | − | 0.823571i | \(-0.691978\pi\) |
0.868375 | − | 0.495907i | \(-0.165164\pi\) | |||||||
\(602\) | −4.14723 | + | 26.1042i | −0.169028 | + | 1.06393i | ||||
\(603\) | −15.9634 | + | 3.64354i | −0.650079 | + | 0.148376i | ||||
\(604\) | −0.160934 | + | 0.266765i | −0.00654830 | + | 0.0108545i | ||||
\(605\) | 0.824288 | − | 1.20901i | 0.0335121 | − | 0.0491532i | ||||
\(606\) | −10.8658 | + | 15.6126i | −0.441394 | + | 0.634218i | ||||
\(607\) | 11.9109 | − | 20.6303i | 0.483450 | − | 0.837360i | −0.516369 | − | 0.856366i | \(-0.672717\pi\) |
0.999819 | + | 0.0190060i | \(0.00605015\pi\) | |||||||
\(608\) | 9.23540 | + | 5.00785i | 0.374545 | + | 0.203095i | ||||
\(609\) | 11.3097 | + | 2.56164i | 0.458293 | + | 0.103803i | ||||
\(610\) | −0.0577471 | + | 6.00625i | −0.00233811 | + | 0.243186i | ||||
\(611\) | −2.78467 | − | 4.08436i | −0.112656 | − | 0.165236i | ||||
\(612\) | −0.810844 | − | 14.5760i | −0.0327764 | − | 0.589200i | ||||
\(613\) | −8.12504 | − | 8.75671i | −0.328167 | − | 0.353680i | 0.547318 | − | 0.836925i | \(-0.315649\pi\) |
−0.875485 | + | 0.483244i | \(0.839458\pi\) | |||||||
\(614\) | 16.3303 | − | 27.6671i | 0.659035 | − | 1.11655i | ||||
\(615\) | 1.09394 | + | 0.526815i | 0.0441120 | + | 0.0212432i | ||||
\(616\) | 11.6226 | + | 25.9138i | 0.468288 | + | 1.04409i | ||||
\(617\) | 29.9935 | − | 14.4441i | 1.20749 | − | 0.581498i | 0.281690 | − | 0.959505i | \(-0.409105\pi\) |
0.925803 | + | 0.378008i | \(0.123391\pi\) | |||||||
\(618\) | 0.761792 | − | 9.00303i | 0.0306438 | − | 0.362155i | ||||
\(619\) | −14.8729 | + | 8.58686i | −0.597791 | + | 0.345135i | −0.768172 | − | 0.640243i | \(-0.778834\pi\) |
0.170381 | + | 0.985378i | \(0.445500\pi\) | |||||||
\(620\) | −1.70982 | − | 5.94674i | −0.0686682 | − | 0.238827i | ||||
\(621\) | 6.95464 | + | 46.1410i | 0.279080 | + | 1.85158i | ||||
\(622\) | 24.2023 | − | 18.9229i | 0.970424 | − | 0.758739i | ||||
\(623\) | −12.0458 | − | 12.9392i | −0.482606 | − | 0.518398i | ||||
\(624\) | −19.0170 | − | 0.731693i | −0.761288 | − | 0.0292912i | ||||
\(625\) | 1.66363 | − | 22.1997i | 0.0665454 | − | 0.887986i | ||||
\(626\) | −7.92139 | − | 8.70357i | −0.316602 | − | 0.347865i | ||||
\(627\) | 8.71540 | + | 3.42054i | 0.348059 | + | 0.136603i | ||||
\(628\) | 0.395423 | + | 0.604637i | 0.0157791 | + | 0.0241277i | ||||
\(629\) | −4.51951 | − | 3.60419i | −0.180205 | − | 0.143708i | ||||
\(630\) | −1.36334 | + | 1.44609i | −0.0543167 | + | 0.0576134i | ||||
\(631\) | 22.1957 | + | 27.8326i | 0.883598 | + | 1.10800i | 0.993475 | + | 0.114051i | \(0.0363828\pi\) |
−0.109877 | + | 0.993945i | \(0.535046\pi\) | |||||||
\(632\) | −3.18905 | − | 26.2803i | −0.126854 | − | 1.04537i | ||||
\(633\) | 1.57559 | + | 21.0248i | 0.0626243 | + | 0.835663i | ||||
\(634\) | −2.78144 | + | 0.828761i | −0.110465 | + | 0.0329143i | ||||
\(635\) | −1.29818 | + | 1.39910i | −0.0515166 | + | 0.0555217i | ||||
\(636\) | 4.41083 | − | 5.31794i | 0.174901 | − | 0.210870i | ||||
\(637\) | 7.46963 | + | 23.9338i | 0.295958 | + | 0.948290i | ||||
\(638\) | 7.53022 | + | 16.0291i | 0.298124 | + | 0.634597i | ||||
\(639\) | −13.6767 | − | 12.6901i | −0.541040 | − | 0.502012i | ||||
\(640\) | 4.74984 | + | 1.04670i | 0.187754 | + | 0.0413746i | ||||
\(641\) | 0.849350 | + | 11.3338i | 0.0335473 | + | 0.447658i | 0.988533 | + | 0.151006i | \(0.0482512\pi\) |
−0.954986 | + | 0.296652i | \(0.904130\pi\) | |||||||
\(642\) | −4.46331 | + | 4.71849i | −0.176153 | + | 0.186224i | ||||
\(643\) | 31.7997 | − | 25.3594i | 1.25406 | − | 1.00008i | 0.254603 | − | 0.967046i | \(-0.418055\pi\) |
0.999454 | − | 0.0330314i | \(-0.0105161\pi\) | |||||||
\(644\) | −37.6153 | − | 22.6075i | −1.48225 | − | 0.890861i | ||||
\(645\) | 3.15392 | + | 2.51517i | 0.124185 | + | 0.0990346i | ||||
\(646\) | 15.3646 | − | 2.16499i | 0.604514 | − | 0.0851803i | ||||
\(647\) | 0.409193 | − | 1.04261i | 0.0160870 | − | 0.0409891i | −0.922605 | − | 0.385747i | \(-0.873944\pi\) |
0.938692 | + | 0.344758i | \(0.112039\pi\) | |||||||
\(648\) | 10.6430 | − | 0.489467i | 0.418096 | − | 0.0192281i | ||||
\(649\) | −2.96926 | + | 39.6220i | −0.116554 | + | 1.55530i | ||||
\(650\) | 5.19857 | + | 23.8302i | 0.203905 | + | 0.934699i | ||||
\(651\) | 25.0156 | + | 3.72807i | 0.980440 | + | 0.146115i | ||||
\(652\) | −8.20193 | + | 16.2258i | −0.321213 | + | 0.635452i | ||||
\(653\) | −5.58715 | − | 37.0683i | −0.218642 | − | 1.45059i | −0.781430 | − | 0.623993i | \(-0.785509\pi\) |
0.562788 | − | 0.826601i | \(-0.309729\pi\) | |||||||
\(654\) | 2.64991 | − | 16.5028i | 0.103620 | − | 0.645312i | ||||
\(655\) | 2.28604 | + | 3.95954i | 0.0893229 | + | 0.154712i | ||||
\(656\) | −8.02462 | − | 2.81746i | −0.313309 | − | 0.110003i | ||||
\(657\) | 8.74174 | − | 4.20980i | 0.341048 | − | 0.164240i | ||||
\(658\) | −5.16384 | − | 0.0410812i | −0.201308 | − | 0.00160151i | ||||
\(659\) | 1.65112 | − | 3.42858i | 0.0643184 | − | 0.133558i | −0.866331 | − | 0.499470i | \(-0.833528\pi\) |
0.930650 | + | 0.365911i | \(0.119243\pi\) | |||||||
\(660\) | 4.31541 | + | 0.406970i | 0.167977 | + | 0.0158413i | ||||
\(661\) | 6.41977 | + | 6.91887i | 0.249700 | + | 0.269113i | 0.845447 | − | 0.534060i | \(-0.179334\pi\) |
−0.595747 | + | 0.803172i | \(0.703144\pi\) | |||||||
\(662\) | 10.9095 | − | 27.0299i | 0.424009 | − | 1.05055i | ||||
\(663\) | −23.2237 | + | 15.8337i | −0.901935 | + | 0.614929i | ||||
\(664\) | −30.9660 | + | 36.6122i | −1.20171 | + | 1.42083i | ||||
\(665\) | −1.65371 | − | 1.31431i | −0.0641282 | − | 0.0509667i | ||||
\(666\) | −1.07879 | + | 1.32640i | −0.0418024 | + | 0.0513970i | ||||
\(667\) | −23.6996 | − | 13.6830i | −0.917653 | − | 0.529807i | ||||
\(668\) | −19.6123 | − | 3.34292i | −0.758821 | − | 0.129341i | ||||
\(669\) | 11.5658 | − | 16.9639i | 0.447161 | − | 0.655864i | ||||
\(670\) | −4.47456 | − | 6.70048i | −0.172867 | − | 0.258862i | ||||
\(671\) | −8.34345 | − | 36.5550i | −0.322095 | − | 1.41119i | ||||
\(672\) | −11.9492 | + | 15.8889i | −0.460951 | + | 0.612927i | ||||
\(673\) | 0.897575 | − | 3.93253i | 0.0345990 | − | 0.151588i | −0.954678 | − | 0.297641i | \(-0.903800\pi\) |
0.989277 | + | 0.146053i | \(0.0466572\pi\) | |||||||
\(674\) | −16.2526 | + | 6.19902i | −0.626026 | + | 0.238777i | ||||
\(675\) | −7.98526 | − | 25.8876i | −0.307353 | − | 0.996413i | ||||
\(676\) | 0.165290 | + | 0.299443i | 0.00635730 | + | 0.0115170i | ||||
\(677\) | 12.4776 | − | 40.4515i | 0.479554 | − | 1.55468i | −0.315979 | − | 0.948766i | \(-0.602333\pi\) |
0.795533 | − | 0.605910i | \(-0.207191\pi\) | |||||||
\(678\) | 0.978140 | − | 4.10326i | 0.0375652 | − | 0.157585i | ||||
\(679\) | −27.3683 | − | 15.7406i | −1.05030 | − | 0.604070i | ||||
\(680\) | 6.55936 | − | 2.92889i | 0.251540 | − | 0.112318i | ||||
\(681\) | −10.9625 | − | 27.9321i | −0.420085 | − | 1.07036i | ||||
\(682\) | 18.9904 | + | 33.6351i | 0.727181 | + | 1.28795i | ||||
\(683\) | 3.50102 | − | 23.2277i | 0.133963 | − | 0.888784i | −0.816366 | − | 0.577535i | \(-0.804015\pi\) |
0.950328 | − | 0.311249i | \(-0.100747\pi\) | |||||||
\(684\) | −0.596608 | − | 4.55027i | −0.0228119 | − | 0.173984i | ||||
\(685\) | − | 6.97574i | − | 0.266529i | ||||||
\(686\) | 24.9919 | + | 7.83610i | 0.954196 | + | 0.299184i | ||||
\(687\) | −13.5957 | −0.518709 | ||||||||
\(688\) | −23.9096 | − | 15.0587i | −0.911547 | − | 0.574107i | ||||
\(689\) | 9.21094 | + | 1.38833i | 0.350909 | + | 0.0528910i | ||||
\(690\) | −5.83254 | + | 3.29306i | −0.222041 | + | 0.125365i | ||||
\(691\) | 0.916013 | − | 0.359509i | 0.0348468 | − | 0.0136764i | −0.347854 | − | 0.937549i | \(-0.613089\pi\) |
0.382700 | + | 0.923873i | \(0.374994\pi\) | |||||||
\(692\) | −0.317116 | + | 16.4900i | −0.0120550 | + | 0.626857i | ||||
\(693\) | 6.18531 | − | 10.7544i | 0.234960 | − | 0.408527i | ||||
\(694\) | −8.31968 | + | 34.9007i | −0.315811 | + | 1.32481i | ||||
\(695\) | −2.41664 | − | 0.745435i | −0.0916685 | − | 0.0282760i | ||||
\(696\) | −7.27588 | + | 10.0371i | −0.275792 | + | 0.380456i | ||||
\(697\) | −12.0031 | + | 3.70248i | −0.454651 | + | 0.140241i | ||||
\(698\) | 11.2842 | + | 29.5850i | 0.427115 | + | 1.11981i | ||||
\(699\) | 13.8982 | + | 3.17217i | 0.525678 | + | 0.119983i | ||||
\(700\) | 23.5510 | + | 9.72399i | 0.890146 | + | 0.367532i | ||||
\(701\) | −13.7018 | + | 3.12735i | −0.517511 | + | 0.118119i | −0.473296 | − | 0.880904i | \(-0.656936\pi\) |
−0.0442151 | + | 0.999022i | \(0.514079\pi\) | |||||||
\(702\) | 15.8268 | + | 23.7000i | 0.597344 | + | 0.894500i | ||||
\(703\) | −1.50146 | − | 1.02367i | −0.0566284 | − | 0.0386086i | ||||
\(704\) | −30.3573 | + | 0.519604i | −1.14413 | + | 0.0195833i | ||||
\(705\) | −0.394067 | + | 0.682545i | −0.0148414 | + | 0.0257061i | ||||
\(706\) | −3.75764 | − | 3.05618i | −0.141421 | − | 0.115021i | ||||
\(707\) | −16.6685 | + | 20.9730i | −0.626885 | + | 0.788770i | ||||
\(708\) | −25.2863 | + | 11.5837i | −0.950317 | + | 0.435341i | ||||
\(709\) | −24.5583 | − | 36.0204i | −0.922306 | − | 1.35277i | −0.935675 | − | 0.352864i | \(-0.885208\pi\) |
0.0133683 | − | 0.999911i | \(-0.495745\pi\) | |||||||
\(710\) | 3.43610 | − | 8.51344i | 0.128954 | − | 0.319504i | ||||
\(711\) | −8.47715 | + | 7.86564i | −0.317918 | + | 0.294985i | ||||
\(712\) | 17.7843 | − | 6.39435i | 0.666497 | − | 0.239638i | ||||
\(713\) | −53.7757 | − | 25.8970i | −2.01392 | − | 0.969851i | ||||
\(714\) | −0.233588 | + | 29.3617i | −0.00874181 | + | 1.09883i | ||||
\(715\) | 2.53558 | + | 5.26519i | 0.0948254 | + | 0.196907i | ||||
\(716\) | −12.1655 | + | 4.50664i | −0.454646 | + | 0.168421i | ||||
\(717\) | 28.0550 | − | 16.1976i | 1.04773 | − | 0.604910i | ||||
\(718\) | −0.418038 | + | 2.60342i | −0.0156011 | + | 0.0971587i | ||||
\(719\) | 11.1691 | − | 1.68347i | 0.416536 | − | 0.0627827i | 0.0625690 | − | 0.998041i | \(-0.480071\pi\) |
0.353967 | + | 0.935258i | \(0.384833\pi\) | |||||||
\(720\) | −0.847570 | − | 1.94827i | −0.0315871 | − | 0.0726076i | ||||
\(721\) | 1.87572 | − | 12.5862i | 0.0698555 | − | 0.468735i | ||||
\(722\) | −21.4870 | + | 4.68739i | −0.799662 | + | 0.174446i | ||||
\(723\) | −31.6568 | − | 2.37235i | −1.17733 | − | 0.0882286i | ||||
\(724\) | 35.7452 | + | 14.8283i | 1.32846 | + | 0.551090i | ||||
\(725\) | 14.7899 | + | 5.80459i | 0.549281 | + | 0.215577i | ||||
\(726\) | −6.33147 | + | 0.892149i | −0.234983 | + | 0.0331107i | ||||
\(727\) | −24.9347 | + | 31.2671i | −0.924775 | + | 1.15963i | 0.0620874 | + | 0.998071i | \(0.480224\pi\) |
−0.986863 | + | 0.161561i | \(0.948347\pi\) | |||||||
\(728\) | −26.6641 | − | 2.72877i | −0.988239 | − | 0.101135i | ||||
\(729\) | −16.8806 | − | 21.1676i | −0.625208 | − | 0.783987i | ||||
\(730\) | 3.46850 | + | 3.28092i | 0.128375 | + | 0.121432i | ||||
\(731\) | −41.6167 | + | 3.11874i | −1.53925 | + | 0.115351i | ||||
\(732\) | 19.5799 | − | 17.4790i | 0.723692 | − | 0.646043i | ||||
\(733\) | 3.51634 | − | 3.78971i | 0.129879 | − | 0.139976i | −0.664764 | − | 0.747054i | \(-0.731468\pi\) |
0.794643 | + | 0.607077i | \(0.207658\pi\) | |||||||
\(734\) | 7.98109 | + | 16.9888i | 0.294587 | + | 0.627069i | ||||
\(735\) | 2.92125 | − | 2.72862i | 0.107752 | − | 0.100647i | ||||
\(736\) | 38.0441 | − | 27.4556i | 1.40232 | − | 1.01203i | ||||
\(737\) | 36.8696 | + | 34.2100i | 1.35811 | + | 1.26014i | ||||
\(738\) | 1.06088 | + | 3.56047i | 0.0390515 | + | 0.131063i | ||||
\(739\) | −10.1438 | + | 0.760170i | −0.373144 | + | 0.0279633i | −0.259983 | − | 0.965613i | \(-0.583717\pi\) |
−0.113162 | + | 0.993577i | \(0.536098\pi\) | |||||||
\(740\) | −0.799015 | − | 0.263392i | −0.0293724 | − | 0.00968246i | ||||
\(741\) | −6.90826 | + | 5.50915i | −0.253781 | + | 0.202384i | ||||
\(742\) | 6.67518 | − | 7.08033i | 0.245054 | − | 0.259927i | ||||
\(743\) | 17.2959 | − | 21.6883i | 0.634524 | − | 0.795667i | −0.355783 | − | 0.934569i | \(-0.615786\pi\) |
0.990306 | + | 0.138901i | \(0.0443571\pi\) | |||||||
\(744\) | −14.1887 | + | 23.0161i | −0.520184 | + | 0.843812i | ||||
\(745\) | −3.77940 | + | 9.62975i | −0.138466 | + | 0.352807i | ||||
\(746\) | 9.72352 | − | 8.84968i | 0.356004 | − | 0.324010i | ||||
\(747\) | 20.8880 | + | 1.56534i | 0.764251 | + | 0.0572727i | ||||
\(748\) | −35.5905 | + | 27.2797i | −1.30132 | + | 0.997443i | ||||
\(749\) | −6.69535 | + | 6.23308i | −0.244643 | + | 0.227752i | ||||
\(750\) | 6.24455 | − | 4.88239i | 0.228019 | − | 0.178280i | ||||
\(751\) | −9.97837 | + | 1.50400i | −0.364116 | + | 0.0548817i | −0.328552 | − | 0.944486i | \(-0.606561\pi\) |
−0.0355636 | + | 0.999367i | \(0.511323\pi\) | |||||||
\(752\) | 2.21297 | − | 5.05760i | 0.0806988 | − | 0.184432i | ||||
\(753\) | −0.639402 | − | 1.10748i | −0.0233011 | − | 0.0403587i | ||||
\(754\) | −16.6541 | − | 1.40919i | −0.606508 | − | 0.0513197i | ||||
\(755\) | 0.0290564 | + | 0.0603362i | 0.00105747 | + | 0.00219586i | ||||
\(756\) | 29.7664 | + | 0.523037i | 1.08259 | + | 0.0190227i | ||||
\(757\) | 8.90065 | − | 18.4824i | 0.323500 | − | 0.671754i | −0.674271 | − | 0.738484i | \(-0.735542\pi\) |
0.997771 | + | 0.0667296i | \(0.0212565\pi\) | |||||||
\(758\) | −2.53504 | + | 4.29493i | −0.0920770 | + | 0.155999i | ||||
\(759\) | 30.6499 | − | 28.4389i | 1.11252 | − | 1.03227i | ||||
\(760\) | 1.98744 | − | 1.07225i | 0.0720919 | − | 0.0388945i | ||||
\(761\) | −26.8259 | + | 18.2896i | −0.972439 | + | 0.662997i | −0.941673 | − | 0.336529i | \(-0.890747\pi\) |
−0.0307655 | + | 0.999527i | \(0.509795\pi\) | |||||||
\(762\) | 8.33959 | + | 0.0801810i | 0.302111 | + | 0.00290465i | ||||
\(763\) | 5.20016 | − | 22.9589i | 0.188258 | − | 0.831166i | ||||
\(764\) | −1.37983 | + | 5.55119i | −0.0499206 | + | 0.200835i | ||||
\(765\) | −2.71757 | − | 1.56899i | −0.0982541 | − | 0.0567270i | ||||
\(766\) | −12.2548 | + | 17.6084i | −0.442785 | + | 0.636217i | ||||
\(767\) | −30.9826 | − | 21.1235i | −1.11872 | − | 0.762727i | ||||
\(768\) | −10.5877 | − | 18.4283i | −0.382051 | − | 0.664975i | ||||
\(769\) | 12.0377 | + | 52.7406i | 0.434090 | + | 1.90187i | 0.431993 | + | 0.901877i | \(0.357810\pi\) |
0.00209716 | + | 0.999998i | \(0.499332\pi\) | |||||||
\(770\) | 6.02920 | + | 0.957870i | 0.217277 | + | 0.0345192i | ||||
\(771\) | 5.47860 | + | 1.25046i | 0.197307 | + | 0.0450341i | ||||
\(772\) | 15.2619 | + | 14.7171i | 0.549288 | + | 0.529680i | ||||
\(773\) | −7.69125 | − | 24.9344i | −0.276635 | − | 0.896828i | −0.982145 | − | 0.188128i | \(-0.939758\pi\) |
0.705510 | − | 0.708700i | \(-0.250718\pi\) | |||||||
\(774\) | 0.804034 | + | 12.3171i | 0.0289004 | + | 0.442727i | ||||
\(775\) | 33.1133 | + | 10.2141i | 1.18946 | + | 0.366901i | ||||
\(776\) | 26.9842 | − | 20.2742i | 0.968676 | − | 0.727802i | ||||
\(777\) | 2.33481 | − | 2.52471i | 0.0837607 | − | 0.0905735i | ||||
\(778\) | −22.9900 | − | 11.3449i | −0.824230 | − | 0.406736i | ||||
\(779\) | −3.67579 | + | 1.44264i | −0.131699 | + | 0.0516880i | ||||
\(780\) | −2.36897 | + | 3.33501i | −0.0848226 | + | 0.119413i | ||||
\(781\) | −8.54155 | + | 56.6695i | −0.305641 | + | 2.02779i | ||||
\(782\) | 21.0601 | − | 66.0151i | 0.753109 | − | 2.36070i | ||||
\(783\) | 18.5642 | 0.663429 | ||||||||
\(784\) | −18.2160 | + | 21.2644i | −0.650572 | + | 0.759444i | ||||
\(785\) | 0.155294 | 0.00554267 | ||||||||
\(786\) | 6.07205 | − | 19.0335i | 0.216583 | − | 0.678901i | ||||
\(787\) | 0.740310 | − | 4.91163i | 0.0263892 | − | 0.175081i | −0.971754 | − | 0.235997i | \(-0.924164\pi\) |
0.998143 | + | 0.0609167i | \(0.0194024\pi\) | |||||||
\(788\) | −18.7888 | + | 26.4507i | −0.669324 | + | 0.942268i | ||||
\(789\) | −4.74540 | + | 1.86243i | −0.168941 | + | 0.0663044i | ||||
\(790\) | −5.10293 | − | 2.51817i | −0.181554 | − | 0.0895923i | ||||
\(791\) | 1.74172 | − | 5.67994i | 0.0619283 | − | 0.201955i | ||||
\(792\) | 7.96679 | + | 10.6035i | 0.283087 | + | 0.376779i | ||||
\(793\) | 33.8141 | + | 10.4303i | 1.20077 | + | 0.370389i | ||||
\(794\) | 0.298245 | + | 4.56884i | 0.0105843 | + | 0.162142i | ||||
\(795\) | −0.437749 | − | 1.41915i | −0.0155254 | − | 0.0503320i | ||||
\(796\) | −1.76620 | − | 1.70315i | −0.0626013 | − | 0.0603666i | ||||
\(797\) | 26.5245 | + | 6.05404i | 0.939546 | + | 0.214445i | 0.664757 | − | 0.747059i | \(-0.268535\pi\) |
0.274789 | + | 0.961505i | \(0.411392\pi\) | |||||||
\(798\) | 0.616546 | + | 9.20984i | 0.0218255 | + | 0.326025i | ||||
\(799\) | −1.81434 | − | 7.94912i | −0.0641866 | − | 0.281220i | ||||
\(800\) | −19.4652 | + | 19.0541i | −0.688197 | + | 0.673664i | ||||
\(801\) | −6.82109 | − | 4.65054i | −0.241011 | − | 0.164319i | ||||
\(802\) | −10.2551 | + | 14.7351i | −0.362120 | + | 0.520313i | ||||
\(803\) | −25.8108 | − | 14.9018i | −0.910842 | − | 0.525875i | ||||
\(804\) | −8.49289 | + | 34.1676i | −0.299521 | + | 1.20500i | ||||
\(805\) | −8.49245 | + | 4.10712i | −0.299320 | + | 0.144757i | ||||
\(806\) | −36.4516 | − | 0.350464i | −1.28395 | − | 0.0123446i | ||||
\(807\) | −33.5198 | + | 22.8534i | −1.17995 | + | 0.804477i | ||||
\(808\) | −13.5986 | − | 25.2054i | −0.478399 | − | 0.886723i | ||||
\(809\) | 22.6486 | − | 21.0148i | 0.796282 | − | 0.738842i | −0.172966 | − | 0.984928i | \(-0.555335\pi\) |
0.969248 | + | 0.246086i | \(0.0791445\pi\) | |||||||
\(810\) | 1.16409 | − | 1.97223i | 0.0409019 | − | 0.0692970i | ||||
\(811\) | 13.9122 | − | 28.8891i | 0.488525 | − | 1.01443i | −0.500369 | − | 0.865812i | \(-0.666802\pi\) |
0.988894 | − | 0.148620i | \(-0.0474832\pi\) | |||||||
\(812\) | −11.1242 | + | 13.4573i | −0.390381 | + | 0.472257i | ||||
\(813\) | −2.24215 | − | 4.65588i | −0.0786358 | − | 0.163289i | ||||
\(814\) | 5.23307 | + | 0.442797i | 0.183419 | + | 0.0155200i | ||||
\(815\) | 1.95402 | + | 3.38446i | 0.0684463 | + | 0.118553i | ||||
\(816\) | −28.7575 | − | 12.5830i | −1.00672 | − | 0.440493i | ||||
\(817\) | −12.9728 | + | 1.95534i | −0.453862 | + | 0.0684087i | ||||
\(818\) | 18.7992 | − | 14.6984i | 0.657298 | − | 0.513918i | ||||
\(819\) | 5.87105 | + | 10.1301i | 0.205151 | + | 0.353975i | ||||
\(820\) | −1.45094 | + | 1.11213i | −0.0506692 | + | 0.0388373i | ||||
\(821\) | 17.0552 | + | 1.27811i | 0.595232 | + | 0.0446065i | 0.368940 | − | 0.929453i | \(-0.379721\pi\) |
0.226292 | + | 0.974060i | \(0.427340\pi\) | |||||||
\(822\) | −22.5430 | + | 20.5171i | −0.786279 | + | 0.715616i | ||||
\(823\) | 17.1992 | − | 43.8228i | 0.599525 | − | 1.52757i | −0.232367 | − | 0.972628i | \(-0.574647\pi\) |
0.831892 | − | 0.554937i | \(-0.187258\pi\) | |||||||
\(824\) | 11.5802 | + | 7.13884i | 0.403416 | + | 0.248693i | ||||
\(825\) | −15.1351 | + | 18.9788i | −0.526937 | + | 0.660758i | ||||
\(826\) | −36.5772 | + | 14.0207i | −1.27268 | + | 0.487843i | ||||
\(827\) | −16.4496 | + | 13.1182i | −0.572010 | + | 0.456163i | −0.866280 | − | 0.499560i | \(-0.833495\pi\) |
0.294269 | + | 0.955723i | \(0.404924\pi\) | |||||||
\(828\) | −19.4642 | − | 6.41627i | −0.676426 | − | 0.222981i | ||||
\(829\) | 29.8169 | − | 2.23447i | 1.03558 | − | 0.0776062i | 0.453925 | − | 0.891040i | \(-0.350023\pi\) |
0.581658 | + | 0.813434i | \(0.302404\pi\) | |||||||
\(830\) | 2.94329 | + | 9.87810i | 0.102163 | + | 0.342874i | ||||
\(831\) | −22.5232 | − | 20.8984i | −0.781320 | − | 0.724959i | ||||
\(832\) | 13.9002 | − | 25.0567i | 0.481904 | − | 0.868685i | ||||
\(833\) | −2.95359 | + | 41.2488i | −0.102336 | + | 1.42919i | ||||
\(834\) | 4.69887 | + | 10.0022i | 0.162709 | + | 0.346347i | ||||
\(835\) | −2.90875 | + | 3.13489i | −0.100662 | + | 0.108487i | ||||
\(836\) | −10.5161 | + | 9.38779i | −0.363708 | + | 0.324683i | ||||
\(837\) | 40.3761 | − | 3.02577i | 1.39560 | − | 0.104586i | ||||
\(838\) | −22.0374 | − | 20.8455i | −0.761269 | − | 0.720097i | ||||
\(839\) | −18.7696 | − | 23.5363i | −0.647998 | − | 0.812563i | 0.343980 | − | 0.938977i | \(-0.388225\pi\) |
−0.991978 | + | 0.126414i | \(0.959653\pi\) | |||||||
\(840\) | 1.45254 | + | 4.01894i | 0.0501174 | + | 0.138667i | ||||
\(841\) | 11.2931 | − | 14.1611i | 0.389416 | − | 0.488313i | ||||
\(842\) | −20.5684 | + | 2.89823i | −0.708834 | + | 0.0998797i | ||||
\(843\) | −2.07485 | − | 0.814319i | −0.0714616 | − | 0.0280466i | ||||
\(844\) | −29.3219 | − | 12.1637i | −1.00930 | − | 0.418692i | ||||
\(845\) | 0.0733151 | + | 0.00549421i | 0.00252212 | + | 0.000189007i | ||||
\(846\) | −2.35612 | + | 0.513988i | −0.0810051 | + | 0.0176713i | ||||
\(847\) | −8.97906 | + | 0.687868i | −0.308524 | + | 0.0236354i | ||||
\(848\) | 4.14988 | + | 9.53911i | 0.142507 | + | 0.327574i | ||||
\(849\) | −23.4050 | + | 3.52774i | −0.803259 | + | 0.121072i | ||||
\(850\) | −6.37817 | + | 39.7213i | −0.218770 | + | 1.36243i | ||||
\(851\) | −7.02806 | + | 4.05765i | −0.240919 | + | 0.139094i | ||||
\(852\) | −37.6186 | + | 13.9356i | −1.28879 | + | 0.477425i | ||||
\(853\) | −11.6774 | − | 24.2484i | −0.399827 | − | 0.830249i | −0.999549 | − | 0.0300406i | \(-0.990436\pi\) |
0.599722 | − | 0.800209i | \(-0.295278\pi\) | |||||||
\(854\) | 29.0836 | − | 22.8172i | 0.995219 | − | 0.780789i | ||||
\(855\) | −0.888770 | − | 0.428009i | −0.0303953 | − | 0.0146376i | ||||
\(856\) | −3.30874 | − | 9.20246i | −0.113090 | − | 0.314534i | ||||
\(857\) | −7.85909 | + | 7.29217i | −0.268461 | + | 0.249096i | −0.802903 | − | 0.596110i | \(-0.796712\pi\) |
0.534442 | + | 0.845205i | \(0.320522\pi\) | |||||||
\(858\) | 9.55749 | − | 23.6801i | 0.326287 | − | 0.808425i | ||||
\(859\) | 32.0695 | + | 47.0373i | 1.09420 | + | 1.60489i | 0.743950 | + | 0.668235i | \(0.232950\pi\) |
0.350247 | + | 0.936657i | \(0.386098\pi\) | |||||||
\(860\) | −5.52197 | + | 2.52962i | −0.188298 | + | 0.0862594i | ||||
\(861\) | −1.67486 | − | 7.28232i | −0.0570789 | − | 0.248181i | ||||
\(862\) | −4.35501 | − | 3.54204i | −0.148332 | − | 0.120642i | ||||
\(863\) | 2.11486 | − | 3.66304i | 0.0719906 | − | 0.124691i | −0.827783 | − | 0.561048i | \(-0.810398\pi\) |
0.899774 | + | 0.436357i | \(0.143732\pi\) | |||||||
\(864\) | −13.0377 | + | 29.0336i | −0.443553 | + | 0.987742i | ||||
\(865\) | 2.92920 | + | 1.99709i | 0.0995958 | + | 0.0679032i | ||||
\(866\) | −25.5333 | − | 38.2352i | −0.867657 | − | 1.29928i | ||||
\(867\) | −23.1833 | + | 5.29145i | −0.787347 | + | 0.179707i | ||||
\(868\) | −22.0011 | + | 31.0820i | −0.746766 | + | 1.05499i | ||||
\(869\) | 34.6313 | + | 7.90438i | 1.17479 | + | 0.268138i | ||||
\(870\) | 0.949642 | + | 2.48977i | 0.0321959 | + | 0.0844111i | ||||
\(871\) | −45.3583 | + | 13.9912i | −1.53691 | + | 0.474073i | ||||
\(872\) | 20.3754 | + | 14.7701i | 0.690000 | + | 0.500179i | ||||
\(873\) | −14.0887 | − | 4.34580i | −0.476832 | − | 0.147083i | ||||
\(874\) | 5.05113 | − | 21.1893i | 0.170857 | − | 0.716739i | ||||
\(875\) | 9.21366 | − | 6.30418i | 0.311479 | − | 0.213120i | ||||
\(876\) | 0.401131 | − | 20.8588i | 0.0135529 | − | 0.704753i | ||||
\(877\) | 24.8853 | − | 9.76677i | 0.840318 | − | 0.329800i | 0.0941497 | − | 0.995558i | \(-0.469987\pi\) |
0.746168 | + | 0.665758i | \(0.231892\pi\) | |||||||
\(878\) | 19.3473 | − | 10.9235i | 0.652941 | − | 0.368652i | ||||
\(879\) | −21.2390 | − | 3.20126i | −0.716372 | − | 0.107976i | ||||
\(880\) | −3.47805 | + | 5.52232i | −0.117245 | + | 0.186157i | ||||
\(881\) | 36.5566 | 1.23162 | 0.615811 | − | 0.787894i | \(-0.288828\pi\) | ||||
0.615811 | + | 0.787894i | \(0.288828\pi\) | |||||||
\(882\) | 12.1910 | + | 0.990817i | 0.410492 | + | 0.0333626i | ||||
\(883\) | − | 1.41828i | − | 0.0477291i | −0.999715 | − | 0.0238645i | \(-0.992403\pi\) | ||
0.999715 | − | 0.0238645i | \(-0.00759704\pi\) | |||||||
\(884\) | −5.50175 | − | 41.9613i | −0.185044 | − | 1.41131i | ||||
\(885\) | −0.891051 | + | 5.91174i | −0.0299524 | + | 0.198721i | ||||
\(886\) | 5.01323 | + | 8.87924i | 0.168423 | + | 0.298304i | ||||
\(887\) | 3.31074 | + | 8.43563i | 0.111164 | + | 0.283241i | 0.975620 | − | 0.219468i | \(-0.0704321\pi\) |
−0.864456 | + | 0.502709i | \(0.832337\pi\) | |||||||
\(888\) | 1.49888 | + | 3.35681i | 0.0502993 | + | 0.112647i | ||||
\(889\) | 11.7147 | + | 0.858353i | 0.392897 | + | 0.0287882i | ||||
\(890\) | 0.941997 | − | 3.95164i | 0.0315758 | − | 0.132459i | ||||
\(891\) | −4.21382 | + | 13.6609i | −0.141168 | + | 0.457657i | ||||
\(892\) | 14.9390 | + | 27.0639i | 0.500196 | + | 0.906167i | ||||
\(893\) | −0.755504 | − | 2.44928i | −0.0252820 | − | 0.0819622i | ||||
\(894\) | 42.2358 | − | 16.1095i | 1.41258 | − | 0.538781i | ||||
\(895\) | −0.620535 | + | 2.71874i | −0.0207422 | + | 0.0908775i | ||||
\(896\) | −13.2340 | − | 26.8488i | −0.442118 | − | 0.896957i | ||||
\(897\) | 8.78060 | + | 38.4703i | 0.293176 | + | 1.28449i | ||||
\(898\) | 19.0290 | + | 28.4952i | 0.635005 | + | 0.950896i | ||||
\(899\) | −13.3765 | + | 19.6197i | −0.446130 | + | 0.654353i | ||||
\(900\) | 11.7295 | + | 1.99930i | 0.390983 | + | 0.0666433i | ||||
\(901\) | 13.3058 | + | 7.68210i | 0.443280 | + | 0.255928i | ||||
\(902\) | 7.20067 | − | 8.85338i | 0.239756 | − | 0.294785i | ||||
\(903\) | −0.0411829 | − | 24.8265i | −0.00137048 | − | 0.826173i | ||||
\(904\) | 4.84929 | + | 4.10145i | 0.161285 | + | 0.136412i | ||||
\(905\) | 6.87298 | − | 4.68592i | 0.228466 | − | 0.155765i | ||||
\(906\) | 0.109524 | − | 0.271361i | 0.00363868 | − | 0.00901537i | ||||
\(907\) | 19.6462 | + | 21.1735i | 0.652340 | + | 0.703056i | 0.969438 | − | 0.245337i | \(-0.0788987\pi\) |
−0.317097 | + | 0.948393i | \(0.602708\pi\) | |||||||
\(908\) | 44.9793 | + | 4.24184i | 1.49269 | + | 0.140770i | ||||
\(909\) | −5.42817 | + | 11.2717i | −0.180041 | + | 0.373859i | ||||
\(910\) | −3.62792 | + | 4.47576i | −0.120264 | + | 0.148370i | ||||
\(911\) | 14.7093 | − | 7.08363i | 0.487341 | − | 0.234691i | −0.174044 | − | 0.984738i | \(-0.555683\pi\) |
0.661385 | + | 0.750047i | \(0.269969\pi\) | |||||||
\(912\) | −9.31058 | − | 3.26896i | −0.308304 | − | 0.108246i | ||||
\(913\) | −32.1710 | − | 55.7218i | −1.06470 | − | 1.84412i | ||||
\(914\) | 5.55009 | − | 34.5643i | 0.183581 | − | 1.14328i | ||||
\(915\) | −0.840862 | − | 5.57875i | −0.0277980 | − | 0.184428i | ||||
\(916\) | 9.23474 | − | 18.2690i | 0.305124 | − | 0.603625i | ||||
\(917\) | 10.2365 | − | 26.2098i | 0.338038 | − | 0.865525i | ||||
\(918\) | 10.0188 | + | 45.9260i | 0.330668 | + | 1.51578i | ||||
\(919\) | 0.671484 | − | 8.96034i | 0.0221502 | − | 0.295574i | −0.975117 | − | 0.221692i | \(-0.928842\pi\) |
0.997267 | − | 0.0738823i | \(-0.0235389\pi\) | |||||||
\(920\) | −0.463306 | − | 10.0741i | −0.0152747 | − | 0.332135i | ||||
\(921\) | −11.0245 | + | 28.0901i | −0.363271 | + | 0.925599i | ||||
\(922\) | 17.1877 | − | 2.42187i | 0.566048 | − | 0.0797602i | ||||
\(923\) | −42.2863 | − | 33.7222i | −1.39187 | − | 1.10998i | ||||
\(924\) | −14.6376 | − | 22.3014i | −0.481543 | − | 0.733664i | ||||
\(925\) | 3.68366 | − | 2.93762i | 0.121118 | − | 0.0965885i | ||||
\(926\) | −9.85477 | + | 10.4182i | −0.323848 | + | 0.342364i | ||||
\(927\) | −0.444086 | − | 5.92592i | −0.0145857 | − | 0.194633i | ||||
\(928\) | −8.54513 | − | 16.5944i | −0.280507 | − | 0.544739i | ||||
\(929\) | −14.1030 | − | 13.0857i | −0.462704 | − | 0.429326i | 0.414059 | − | 0.910250i | \(-0.364111\pi\) |
−0.876762 | + | 0.480924i | \(0.840301\pi\) | |||||||
\(930\) | 2.47123 | + | 5.26035i | 0.0810349 | + | 0.172494i | ||||
\(931\) | 0.0431303 | + | 13.0002i | 0.00141354 | + | 0.426063i | ||||
\(932\) | −13.7027 | + | 16.5208i | −0.448848 | + | 0.541156i | ||||
\(933\) | −19.6271 | + | 21.1530i | −0.642564 | + | 0.692519i | ||||
\(934\) | −13.8391 | + | 4.12350i | −0.452828 | + | 0.134925i | ||||
\(935\) | 0.720324 | + | 9.61206i | 0.0235571 | + | 0.314348i | ||||
\(936\) | −12.4257 | + | 1.50783i | −0.406148 | + | 0.0492850i | ||||
\(937\) | 20.4695 | + | 25.6680i | 0.668711 | + | 0.838536i | 0.994260 | − | 0.106988i | \(-0.0341208\pi\) |
−0.325550 | + | 0.945525i | \(0.605549\pi\) | |||||||
\(938\) | −14.9923 | + | 47.2655i | −0.489515 | + | 1.54327i | ||||
\(939\) | 8.64232 | + | 6.89202i | 0.282032 | + | 0.224913i | ||||
\(940\) | −0.649491 | − | 0.993131i | −0.0211841 | − | 0.0323924i | ||||
\(941\) | −46.9618 | − | 18.4311i | −1.53091 | − | 0.600838i | −0.557555 | − | 0.830140i | \(-0.688260\pi\) |
−0.973355 | + | 0.229302i | \(0.926356\pi\) | |||||||
\(942\) | −0.456751 | − | 0.501852i | −0.0148817 | − | 0.0163512i | ||||
\(943\) | −1.31781 | + | 17.5850i | −0.0429138 | + | 0.572645i | ||||
\(944\) | 1.61006 | − | 41.8460i | 0.0524030 | − | 1.36197i | ||||
\(945\) | 3.59610 | − | 5.29335i | 0.116981 | − | 0.172193i | ||||
\(946\) | 29.8691 | − | 23.3536i | 0.971129 | − | 0.759291i | ||||
\(947\) | 2.11576 | + | 14.0372i | 0.0687530 | + | 0.456146i | 0.996545 | + | 0.0830494i | \(0.0264659\pi\) |
−0.927792 | + | 0.373097i | \(0.878296\pi\) | |||||||
\(948\) | 6.87101 | + | 23.8973i | 0.223160 | + | 0.776147i | ||||
\(949\) | 24.3590 | − | 14.0637i | 0.790727 | − | 0.456526i | ||||
\(950\) | −1.06630 | + | 12.6018i | −0.0345953 | + | 0.408855i | ||||
\(951\) | 2.45607 | − | 1.18278i | 0.0796436 | − | 0.0383543i | ||||
\(952\) | −39.2955 | − | 20.2574i | −1.27357 | − | 0.656547i | ||||
\(953\) | −32.4399 | − | 15.6222i | −1.05083 | − | 0.506053i | −0.172949 | − | 0.984931i | \(-0.555330\pi\) |
−0.877882 | + | 0.478877i | \(0.841044\pi\) | |||||||
\(954\) | 2.30982 | − | 3.91336i | 0.0747833 | − | 0.126700i | ||||
\(955\) | 0.836306 | + | 0.901323i | 0.0270622 | + | 0.0291661i | ||||
\(956\) | 2.70914 | + | 48.7004i | 0.0876199 | + | 1.57508i | ||||
\(957\) | −9.37042 | − | 13.7439i | −0.302903 | − | 0.444277i | ||||
\(958\) | −0.323156 | + | 33.6113i | −0.0104407 | + | 1.08593i | ||||
\(959\) | −33.5202 | + | 26.8225i | −1.08242 | + | 0.866144i | ||||
\(960\) | −4.56084 | − | 0.263385i | −0.147200 | − | 0.00850072i | ||||
\(961\) | −10.3954 | + | 18.0053i | −0.335334 | + | 0.580815i | ||||
\(962\) | −2.83127 | + | 4.06813i | −0.0912839 | + | 0.131162i | ||||
\(963\) | −2.40641 | + | 3.52956i | −0.0775455 | + | 0.113738i | ||||
\(964\) | 24.6903 | − | 40.9268i | 0.795221 | − | 1.31816i | ||||
\(965\) | 4.44312 | − | 1.01411i | 0.143029 | − | 0.0326454i | ||||
\(966\) | 38.2508 | + | 15.3646i | 1.23070 | + | 0.494348i | ||||
\(967\) | −4.87052 | + | 21.3391i | −0.156625 | + | 0.686221i | 0.834244 | + | 0.551395i | \(0.185904\pi\) |
−0.990869 | + | 0.134825i | \(0.956953\pi\) | |||||||
\(968\) | 3.10177 | − | 9.11377i | 0.0996946 | − | 0.292928i | ||||
\(969\) | −13.9267 | + | 4.29581i | −0.447389 | + | 0.138001i | ||||
\(970\) | −0.472589 | − | 7.23962i | −0.0151739 | − | 0.232450i | ||||
\(971\) | −1.69153 | + | 5.48380i | −0.0542838 | + | 0.175984i | −0.978655 | − | 0.205511i | \(-0.934114\pi\) |
0.924371 | + | 0.381495i | \(0.124591\pi\) | |||||||
\(972\) | 23.2518 | − | 4.83869i | 0.745802 | − | 0.155201i | ||||
\(973\) | 5.71026 | + | 14.4788i | 0.183063 | + | 0.464170i | ||||
\(974\) | 14.9114 | − | 30.2173i | 0.477793 | − | 0.968224i | ||||
\(975\) | −8.36977 | − | 21.3258i | −0.268047 | − | 0.682973i | ||||
\(976\) | 10.1877 | + | 38.1825i | 0.326101 | + | 1.22219i | ||||
\(977\) | 0.360435 | + | 0.0543269i | 0.0115313 | + | 0.00173807i | 0.154805 | − | 0.987945i | \(-0.450525\pi\) |
−0.143274 | + | 0.989683i | \(0.545763\pi\) | |||||||
\(978\) | 5.19016 | − | 16.2691i | 0.165963 | − | 0.520228i | ||||
\(979\) | 25.3589i | 0.810473i | ||||||||
\(980\) | 1.68230 | + | 5.77876i | 0.0537391 | + | 0.184596i | ||||
\(981\) | − | 10.9931i | − | 0.350983i | ||||||
\(982\) | 38.5246 | + | 12.2901i | 1.22937 | + | 0.392193i | ||||
\(983\) | 21.5491 | + | 3.24800i | 0.687309 | + | 0.103595i | 0.483407 | − | 0.875396i | \(-0.339399\pi\) |
0.203903 | + | 0.978991i | \(0.434637\pi\) | |||||||
\(984\) | 7.86153 | + | 1.41791i | 0.250616 | + | 0.0452013i | ||||
\(985\) | 2.54791 | + | 6.49196i | 0.0811831 | + | 0.206851i | ||||
\(986\) | −24.7214 | − | 12.1994i | −0.787291 | − | 0.388507i | ||||
\(987\) | 4.79503 | − | 0.730871i | 0.152627 | − | 0.0232639i | ||||
\(988\) | −2.71046 | − | 13.0249i | −0.0862314 | − | 0.414376i | ||||
\(989\) | −17.2692 | + | 55.9853i | −0.549128 | + | 1.78023i | ||||
\(990\) | 2.84482 | − | 0.185705i | 0.0904144 | − | 0.00590208i | ||||
\(991\) | 20.0605 | − | 6.18784i | 0.637242 | − | 0.196563i | 0.0407336 | − | 0.999170i | \(-0.487030\pi\) |
0.596508 | + | 0.802607i | \(0.296554\pi\) | |||||||
\(992\) | −21.2900 | − | 34.6993i | −0.675957 | − | 1.10170i | ||||
\(993\) | −6.09224 | + | 26.6919i | −0.193332 | + | 0.847041i | ||||
\(994\) | −54.1213 | + | 16.2238i | −1.71662 | + | 0.514589i | ||||
\(995\) | −0.514184 | + | 0.117359i | −0.0163007 | + | 0.00372054i | ||||
\(996\) | 23.2656 | − | 38.5652i | 0.737197 | − | 1.22198i | ||||
\(997\) | 28.0713 | − | 41.1730i | 0.889027 | − | 1.30396i | −0.0630204 | − | 0.998012i | \(-0.520073\pi\) |
0.952047 | − | 0.305951i | \(-0.0989743\pi\) | |||||||
\(998\) | 45.0875 | + | 31.3793i | 1.42722 | + | 0.993295i | ||||
\(999\) | 2.75257 | − | 4.76760i | 0.0870875 | − | 0.150840i |
(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 | 392.2.z.a.205.33 | yes | 648 | |
8.5 | even | 2 | inner | 392.2.z.a.205.6 | yes | 648 | |
49.11 | even | 21 | inner | 392.2.z.a.109.6 | ✓ | 648 | |
392.109 | even | 42 | inner | 392.2.z.a.109.33 | yes | 648 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
392.2.z.a.109.6 | ✓ | 648 | 49.11 | even | 21 | inner | |
392.2.z.a.109.33 | yes | 648 | 392.109 | even | 42 | inner | |
392.2.z.a.205.6 | yes | 648 | 8.5 | even | 2 | inner | |
392.2.z.a.205.33 | yes | 648 | 1.1 | even | 1 | trivial |