Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [210,2,Mod(23,210)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(210, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 9, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("210.23");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 210 = 2 \cdot 3 \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 210.x (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.67685844245\) |
Analytic rank: | \(0\) |
Dimension: | \(64\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 23.2 | ||
Character | \(\chi\) | \(=\) | 210.23 |
Dual form | 210.2.x.a.137.2 |
$q$-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 \(\left(\mathbb{Z}/210\mathbb{Z}\right)^\times\).
\(n\) | \(31\) | \(71\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(-1\) | \(e\left(\frac{3}{4}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.965926 | + | 0.258819i | −0.683013 | + | 0.183013i | ||||
\(3\) | −1.45883 | + | 0.933717i | −0.842254 | + | 0.539082i | ||||
\(4\) | 0.866025 | − | 0.500000i | 0.433013 | − | 0.250000i | ||||
\(5\) | −2.00119 | + | 0.997619i | −0.894959 | + | 0.446149i | ||||
\(6\) | 1.16745 | − | 1.27947i | 0.476611 | − | 0.522343i | ||||
\(7\) | −1.20893 | − | 2.35340i | −0.456934 | − | 0.889501i | ||||
\(8\) | −0.707107 | + | 0.707107i | −0.250000 | + | 0.250000i | ||||
\(9\) | 1.25635 | − | 2.72426i | 0.418782 | − | 0.908087i | ||||
\(10\) | 1.67480 | − | 1.48157i | 0.529617 | − | 0.468514i | ||||
\(11\) | 3.01159 | − | 1.73874i | 0.908029 | − | 0.524251i | 0.0282327 | − | 0.999601i | \(-0.491012\pi\) |
0.879797 | + | 0.475350i | \(0.157679\pi\) | |||||||
\(12\) | −0.796522 | + | 1.53804i | −0.229936 | + | 0.443993i | ||||
\(13\) | −0.354405 | − | 0.354405i | −0.0982943 | − | 0.0982943i | 0.656250 | − | 0.754544i | \(-0.272142\pi\) |
−0.754544 | + | 0.656250i | \(0.772142\pi\) | |||||||
\(14\) | 1.77684 | + | 1.96031i | 0.474881 | + | 0.523916i | ||||
\(15\) | 1.98789 | − | 3.32390i | 0.513271 | − | 0.858226i | ||||
\(16\) | 0.500000 | − | 0.866025i | 0.125000 | − | 0.216506i | ||||
\(17\) | 0.838307 | − | 3.12860i | 0.203319 | − | 0.758798i | −0.786636 | − | 0.617417i | \(-0.788179\pi\) |
0.989955 | − | 0.141381i | \(-0.0451542\pi\) | |||||||
\(18\) | −0.508447 | + | 2.95660i | −0.119842 | + | 0.696877i | ||||
\(19\) | −2.42435 | − | 1.39970i | −0.556185 | − | 0.321114i | 0.195428 | − | 0.980718i | \(-0.437390\pi\) |
−0.751613 | + | 0.659604i | \(0.770724\pi\) | |||||||
\(20\) | −1.23427 | + | 1.86456i | −0.275991 | + | 0.416928i | ||||
\(21\) | 3.96103 | + | 2.30440i | 0.864368 | + | 0.502861i | ||||
\(22\) | −2.45895 | + | 2.45895i | −0.524251 | + | 0.524251i | ||||
\(23\) | −1.51128 | − | 5.64018i | −0.315124 | − | 1.17606i | −0.923874 | − | 0.382696i | \(-0.874996\pi\) |
0.608750 | − | 0.793362i | \(-0.291671\pi\) | |||||||
\(24\) | 0.371308 | − | 1.69178i | 0.0757930 | − | 0.345334i | ||||
\(25\) | 3.00951 | − | 3.99285i | 0.601902 | − | 0.798570i | ||||
\(26\) | 0.434056 | + | 0.250602i | 0.0851254 | + | 0.0491471i | ||||
\(27\) | 0.710897 | + | 5.14729i | 0.136812 | + | 0.990597i | ||||
\(28\) | −2.22367 | − | 1.43364i | −0.420233 | − | 0.270932i | ||||
\(29\) | −1.97825 | −0.367352 | −0.183676 | − | 0.982987i | \(-0.558800\pi\) | ||||
−0.183676 | + | 0.982987i | \(0.558800\pi\) | |||||||
\(30\) | −1.05987 | + | 3.72514i | −0.193505 | + | 0.680115i | ||||
\(31\) | −4.44221 | − | 7.69413i | −0.797844 | − | 1.38191i | −0.921018 | − | 0.389521i | \(-0.872641\pi\) |
0.123174 | − | 0.992385i | \(-0.460693\pi\) | |||||||
\(32\) | −0.258819 | + | 0.965926i | −0.0457532 | + | 0.170753i | ||||
\(33\) | −2.76989 | + | 5.34850i | −0.482177 | + | 0.931054i | ||||
\(34\) | 3.23897i | 0.555479i | ||||||||
\(35\) | 4.76710 | + | 3.50354i | 0.805787 | + | 0.592206i | ||||
\(36\) | −0.274103 | − | 2.98745i | −0.0456838 | − | 0.497909i | ||||
\(37\) | 2.16990 | + | 8.09819i | 0.356730 | + | 1.33133i | 0.878294 | + | 0.478121i | \(0.158682\pi\) |
−0.521564 | + | 0.853212i | \(0.674651\pi\) | |||||||
\(38\) | 2.70402 | + | 0.724539i | 0.438649 | + | 0.117536i | ||||
\(39\) | 0.847929 | + | 0.186101i | 0.135777 | + | 0.0298001i | ||||
\(40\) | 0.709630 | − | 2.12048i | 0.112202 | − | 0.335277i | ||||
\(41\) | 7.96768i | 1.24434i | 0.782881 | + | 0.622171i | \(0.213749\pi\) | ||||
−0.782881 | + | 0.622171i | \(0.786251\pi\) | |||||||
\(42\) | −4.42248 | − | 1.20069i | −0.682404 | − | 0.185270i | ||||
\(43\) | −6.03572 | − | 6.03572i | −0.920438 | − | 0.920438i | 0.0766219 | − | 0.997060i | \(-0.475587\pi\) |
−0.997060 | + | 0.0766219i | \(0.975587\pi\) | |||||||
\(44\) | 1.73874 | − | 3.01159i | 0.262125 | − | 0.454015i | ||||
\(45\) | 0.203590 | + | 6.70511i | 0.0303494 | + | 0.999539i | ||||
\(46\) | 2.91957 | + | 5.05684i | 0.430467 | + | 0.745591i | ||||
\(47\) | −2.30600 | + | 0.617891i | −0.336365 | + | 0.0901286i | −0.423048 | − | 0.906107i | \(-0.639040\pi\) |
0.0866833 | + | 0.996236i | \(0.472373\pi\) | |||||||
\(48\) | 0.0792095 | + | 1.73024i | 0.0114329 | + | 0.249738i | ||||
\(49\) | −4.07696 | + | 5.69020i | −0.582423 | + | 0.812886i | ||||
\(50\) | −1.87354 | + | 4.63571i | −0.264958 | + | 0.655589i | ||||
\(51\) | 1.69829 | + | 5.34683i | 0.237808 | + | 0.748706i | ||||
\(52\) | −0.484126 | − | 0.129721i | −0.0671362 | − | 0.0179891i | ||||
\(53\) | −5.79919 | − | 1.55389i | −0.796580 | − | 0.213443i | −0.162498 | − | 0.986709i | \(-0.551955\pi\) |
−0.634082 | + | 0.773266i | \(0.718622\pi\) | |||||||
\(54\) | −2.01889 | − | 4.78791i | −0.274736 | − | 0.651552i | ||||
\(55\) | −4.29216 | + | 6.48398i | −0.578755 | + | 0.874299i | ||||
\(56\) | 2.51895 | + | 0.809259i | 0.336609 | + | 0.108142i | ||||
\(57\) | 4.84364 | − | 0.221739i | 0.641555 | − | 0.0293701i | ||||
\(58\) | 1.91084 | − | 0.512009i | 0.250906 | − | 0.0672301i | ||||
\(59\) | −2.18403 | − | 3.78284i | −0.284336 | − | 0.492484i | 0.688112 | − | 0.725604i | \(-0.258440\pi\) |
−0.972448 | + | 0.233120i | \(0.925106\pi\) | |||||||
\(60\) | 0.0596165 | − | 3.87252i | 0.00769645 | − | 0.499941i | ||||
\(61\) | 3.79381 | − | 6.57108i | 0.485748 | − | 0.841340i | −0.514118 | − | 0.857720i | \(-0.671881\pi\) |
0.999866 | + | 0.0163794i | \(0.00521396\pi\) | |||||||
\(62\) | 6.28223 | + | 6.28223i | 0.797844 | + | 0.797844i | ||||
\(63\) | −7.93011 | + | 0.336766i | −0.999100 | + | 0.0424285i | ||||
\(64\) | − | 1.00000i | − | 0.125000i | ||||||
\(65\) | 1.06279 | + | 0.355670i | 0.131823 | + | 0.0441154i | ||||
\(66\) | 1.29122 | − | 5.88315i | 0.158938 | − | 0.724166i | ||||
\(67\) | 13.6099 | + | 3.64677i | 1.66272 | + | 0.445524i | 0.963133 | − | 0.269026i | \(-0.0867019\pi\) |
0.699584 | + | 0.714550i | \(0.253369\pi\) | |||||||
\(68\) | −0.838307 | − | 3.12860i | −0.101660 | − | 0.379399i | ||||
\(69\) | 7.47102 | + | 6.81693i | 0.899406 | + | 0.820662i | ||||
\(70\) | −5.51145 | − | 2.15034i | −0.658744 | − | 0.257015i | ||||
\(71\) | − | 3.96344i | − | 0.470374i | −0.971950 | − | 0.235187i | \(-0.924430\pi\) | ||
0.971950 | − | 0.235187i | \(-0.0755702\pi\) | |||||||
\(72\) | 1.03797 | + | 2.81471i | 0.122326 | + | 0.331717i | ||||
\(73\) | −0.988062 | + | 3.68750i | −0.115644 | + | 0.431589i | −0.999334 | − | 0.0364830i | \(-0.988385\pi\) |
0.883690 | + | 0.468072i | \(0.155051\pi\) | |||||||
\(74\) | −4.19193 | − | 7.26063i | −0.487302 | − | 0.844032i | ||||
\(75\) | −0.662162 | + | 8.63490i | −0.0764599 | + | 0.997073i | ||||
\(76\) | −2.79940 | −0.321114 | ||||||||
\(77\) | −7.73277 | − | 4.98545i | −0.881231 | − | 0.568145i | ||||
\(78\) | −0.867203 | + | 0.0397001i | −0.0981915 | + | 0.00449516i | ||||
\(79\) | −7.48605 | − | 4.32207i | −0.842246 | − | 0.486271i | 0.0157809 | − | 0.999875i | \(-0.494977\pi\) |
−0.858027 | + | 0.513604i | \(0.828310\pi\) | |||||||
\(80\) | −0.136630 | + | 2.23189i | −0.0152757 | + | 0.249533i | ||||
\(81\) | −5.84319 | − | 6.84523i | −0.649243 | − | 0.760581i | ||||
\(82\) | −2.06219 | − | 7.69619i | −0.227730 | − | 0.849901i | ||||
\(83\) | 10.4891 | − | 10.4891i | 1.15132 | − | 1.15132i | 0.165037 | − | 0.986287i | \(-0.447225\pi\) |
0.986287 | − | 0.165037i | \(-0.0527745\pi\) | |||||||
\(84\) | 4.58255 | + | 0.0151515i | 0.499997 | + | 0.00165316i | ||||
\(85\) | 1.44355 | + | 7.09724i | 0.156575 | + | 0.769804i | ||||
\(86\) | 7.39221 | + | 4.26790i | 0.797123 | + | 0.460219i | ||||
\(87\) | 2.88592 | − | 1.84713i | 0.309403 | − | 0.198033i | ||||
\(88\) | −0.900040 | + | 3.35899i | −0.0959446 | + | 0.358070i | ||||
\(89\) | −3.59897 | + | 6.23359i | −0.381490 | + | 0.660760i | −0.991275 | − | 0.131807i | \(-0.957922\pi\) |
0.609786 | + | 0.792566i | \(0.291256\pi\) | |||||||
\(90\) | −1.93206 | − | 6.42395i | −0.203657 | − | 0.677144i | ||||
\(91\) | −0.405604 | + | 1.26251i | −0.0425189 | + | 0.132347i | ||||
\(92\) | −4.12890 | − | 4.12890i | −0.430467 | − | 0.430467i | ||||
\(93\) | 13.6645 | + | 7.07663i | 1.41695 | + | 0.733812i | ||||
\(94\) | 2.06750 | − | 1.19367i | 0.213247 | − | 0.123118i | ||||
\(95\) | 6.24796 | + | 0.382484i | 0.641027 | + | 0.0392420i | ||||
\(96\) | −0.524329 | − | 1.65078i | −0.0535141 | − | 0.168482i | ||||
\(97\) | 11.6503 | − | 11.6503i | 1.18291 | − | 1.18291i | 0.203919 | − | 0.978988i | \(-0.434632\pi\) |
0.978988 | − | 0.203919i | \(-0.0653678\pi\) | |||||||
\(98\) | 2.46531 | − | 6.55151i | 0.249034 | − | 0.661802i | ||||
\(99\) | −0.953188 | − | 10.3888i | −0.0957990 | − | 1.04412i | ||||
\(100\) | 0.609888 | − | 4.96266i | 0.0609888 | − | 0.496266i | ||||
\(101\) | −2.74872 | + | 1.58698i | −0.273508 | + | 0.157910i | −0.630481 | − | 0.776205i | \(-0.717142\pi\) |
0.356973 | + | 0.934115i | \(0.383809\pi\) | |||||||
\(102\) | −3.02428 | − | 4.72509i | −0.299448 | − | 0.467854i | ||||
\(103\) | 4.82502 | − | 1.29286i | 0.475423 | − | 0.127389i | −0.0131477 | − | 0.999914i | \(-0.504185\pi\) |
0.488571 | + | 0.872524i | \(0.337518\pi\) | |||||||
\(104\) | 0.501205 | 0.0491471 | ||||||||
\(105\) | −10.2257 | − | 0.659932i | −0.997924 | − | 0.0644028i | ||||
\(106\) | 6.00376 | 0.583137 | ||||||||
\(107\) | −13.2839 | + | 3.55941i | −1.28420 | + | 0.344101i | −0.835456 | − | 0.549558i | \(-0.814796\pi\) |
−0.448747 | + | 0.893659i | \(0.648130\pi\) | |||||||
\(108\) | 3.18930 | + | 4.10224i | 0.306891 | + | 0.394738i | ||||
\(109\) | 1.66115 | − | 0.959063i | 0.159109 | − | 0.0918615i | −0.418331 | − | 0.908294i | \(-0.637385\pi\) |
0.577440 | + | 0.816433i | \(0.304052\pi\) | |||||||
\(110\) | 2.46773 | − | 7.37393i | 0.235289 | − | 0.703077i | ||||
\(111\) | −10.7269 | − | 9.78777i | −1.01815 | − | 0.929014i | ||||
\(112\) | −2.64257 | − | 0.129732i | −0.249699 | − | 0.0122586i | ||||
\(113\) | 5.10087 | − | 5.10087i | 0.479850 | − | 0.479850i | −0.425234 | − | 0.905084i | \(-0.639808\pi\) |
0.905084 | + | 0.425234i | \(0.139808\pi\) | |||||||
\(114\) | −4.62120 | + | 1.46781i | −0.432815 | + | 0.137473i | ||||
\(115\) | 8.65111 | + | 9.77938i | 0.806720 | + | 0.911931i | ||||
\(116\) | −1.71321 | + | 0.989125i | −0.159068 | + | 0.0918380i | ||||
\(117\) | −1.41075 | + | 0.520236i | −0.130424 | + | 0.0480959i | ||||
\(118\) | 3.08868 | + | 3.08868i | 0.284336 | + | 0.284336i | ||||
\(119\) | −8.37631 | + | 1.80940i | −0.767855 | + | 0.165868i | ||||
\(120\) | 0.944698 | + | 3.75600i | 0.0862387 | + | 0.342874i | ||||
\(121\) | 0.546459 | − | 0.946494i | 0.0496781 | − | 0.0860449i | ||||
\(122\) | −1.96382 | + | 7.32908i | −0.177796 | + | 0.663544i | ||||
\(123\) | −7.43955 | − | 11.6235i | −0.670802 | − | 1.04805i | ||||
\(124\) | −7.69413 | − | 4.44221i | −0.690953 | − | 0.398922i | ||||
\(125\) | −2.03925 | + | 10.9928i | −0.182396 | + | 0.983225i | ||||
\(126\) | 7.57273 | − | 2.37775i | 0.674633 | − | 0.211827i | ||||
\(127\) | −5.65099 | + | 5.65099i | −0.501444 | + | 0.501444i | −0.911886 | − | 0.410443i | \(-0.865374\pi\) |
0.410443 | + | 0.911886i | \(0.365374\pi\) | |||||||
\(128\) | 0.258819 | + | 0.965926i | 0.0228766 | + | 0.0853766i | ||||
\(129\) | 14.4407 | + | 3.16941i | 1.27143 | + | 0.279051i | ||||
\(130\) | −1.11863 | − | 0.0684798i | −0.0981106 | − | 0.00600608i | ||||
\(131\) | −0.812657 | − | 0.469187i | −0.0710021 | − | 0.0409931i | 0.464079 | − | 0.885794i | \(-0.346385\pi\) |
−0.535081 | + | 0.844801i | \(0.679719\pi\) | |||||||
\(132\) | 0.275450 | + | 6.01688i | 0.0239748 | + | 0.523702i | ||||
\(133\) | −0.363173 | + | 7.39762i | −0.0314911 | + | 0.641455i | ||||
\(134\) | −14.0900 | −1.21719 | ||||||||
\(135\) | −6.55768 | − | 9.59150i | −0.564395 | − | 0.825505i | ||||
\(136\) | 1.61948 | + | 2.80503i | 0.138870 | + | 0.240529i | ||||
\(137\) | 4.69276 | − | 17.5136i | 0.400929 | − | 1.49629i | −0.410513 | − | 0.911855i | \(-0.634650\pi\) |
0.811442 | − | 0.584433i | \(-0.198683\pi\) | |||||||
\(138\) | −8.98081 | − | 4.65100i | −0.764497 | − | 0.395920i | ||||
\(139\) | 14.4400i | 1.22478i | 0.790555 | + | 0.612391i | \(0.209792\pi\) | ||||
−0.790555 | + | 0.612391i | \(0.790208\pi\) | |||||||
\(140\) | 5.88020 | + | 0.650604i | 0.496967 | + | 0.0549860i | ||||
\(141\) | 2.78712 | − | 3.05455i | 0.234718 | − | 0.257239i | ||||
\(142\) | 1.02581 | + | 3.82839i | 0.0860843 | + | 0.321271i | ||||
\(143\) | −1.68354 | − | 0.451104i | −0.140785 | − | 0.0377232i | ||||
\(144\) | −1.73111 | − | 2.45016i | −0.144259 | − | 0.204180i | ||||
\(145\) | 3.95885 | − | 1.97354i | 0.328765 | − | 0.163894i | ||||
\(146\) | − | 3.81758i | − | 0.315945i | ||||||
\(147\) | 0.634544 | − | 12.1077i | 0.0523363 | − | 0.998630i | ||||
\(148\) | 5.92828 | + | 5.92828i | 0.487302 | + | 0.487302i | ||||
\(149\) | 4.55062 | − | 7.88190i | 0.372801 | − | 0.645711i | −0.617194 | − | 0.786811i | \(-0.711731\pi\) |
0.989995 | + | 0.141100i | \(0.0450640\pi\) | |||||||
\(150\) | −1.59528 | − | 8.51206i | −0.130254 | − | 0.695006i | ||||
\(151\) | 10.0131 | + | 17.3431i | 0.814852 | + | 1.41136i | 0.909434 | + | 0.415848i | \(0.136515\pi\) |
−0.0945826 | + | 0.995517i | \(0.530152\pi\) | |||||||
\(152\) | 2.70402 | − | 0.724539i | 0.219325 | − | 0.0587679i | ||||
\(153\) | −7.46993 | − | 6.21438i | −0.603908 | − | 0.502403i | ||||
\(154\) | 8.75961 | + | 2.81419i | 0.705870 | + | 0.226774i | ||||
\(155\) | 16.5655 | + | 10.9658i | 1.33057 | + | 0.880792i | ||||
\(156\) | 0.827379 | − | 0.262796i | 0.0662433 | − | 0.0210405i | ||||
\(157\) | −4.57610 | − | 1.22616i | −0.365212 | − | 0.0978584i | 0.0715458 | − | 0.997437i | \(-0.477207\pi\) |
−0.436758 | + | 0.899579i | \(0.643873\pi\) | |||||||
\(158\) | 8.34960 | + | 2.23727i | 0.664259 | + | 0.177988i | ||||
\(159\) | 9.91090 | − | 3.14795i | 0.785986 | − | 0.249649i | ||||
\(160\) | −0.445681 | − | 2.19120i | −0.0352342 | − | 0.173230i | ||||
\(161\) | −11.4465 | + | 10.3752i | −0.902114 | + | 0.817684i | ||||
\(162\) | 7.41576 | + | 5.09965i | 0.582637 | + | 0.400667i | ||||
\(163\) | 5.68384 | − | 1.52298i | 0.445193 | − | 0.119289i | −0.0292565 | − | 0.999572i | \(-0.509314\pi\) |
0.474449 | + | 0.880283i | \(0.342647\pi\) | |||||||
\(164\) | 3.98384 | + | 6.90021i | 0.311086 | + | 0.538816i | ||||
\(165\) | 0.207316 | − | 13.4667i | 0.0161395 | − | 1.04838i | ||||
\(166\) | −7.41689 | + | 12.8464i | −0.575662 | + | 0.997076i | ||||
\(167\) | −6.77976 | − | 6.77976i | −0.524634 | − | 0.524634i | 0.394334 | − | 0.918967i | \(-0.370975\pi\) |
−0.918967 | + | 0.394334i | \(0.870975\pi\) | |||||||
\(168\) | −4.43033 | + | 1.17142i | −0.341807 | + | 0.0903767i | ||||
\(169\) | − | 12.7488i | − | 0.980676i | ||||||
\(170\) | −3.23126 | − | 6.48179i | −0.247826 | − | 0.497131i | ||||
\(171\) | −6.85898 | + | 4.84606i | −0.524519 | + | 0.370588i | ||||
\(172\) | −8.24494 | − | 2.20923i | −0.628671 | − | 0.168452i | ||||
\(173\) | 3.45191 | + | 12.8827i | 0.262444 | + | 0.979455i | 0.963796 | + | 0.266640i | \(0.0859134\pi\) |
−0.701352 | + | 0.712815i | \(0.747420\pi\) | |||||||
\(174\) | −2.30952 | + | 2.53112i | −0.175084 | + | 0.191884i | ||||
\(175\) | −13.0351 | − | 2.25549i | −0.985358 | − | 0.170499i | ||||
\(176\) | − | 3.47749i | − | 0.262125i | ||||||
\(177\) | 6.71822 | + | 3.47925i | 0.504972 | + | 0.261516i | ||||
\(178\) | 1.86296 | − | 6.95267i | 0.139635 | − | 0.521125i | ||||
\(179\) | 11.6481 | + | 20.1751i | 0.870619 | + | 1.50796i | 0.861358 | + | 0.507999i | \(0.169615\pi\) |
0.00926137 | + | 0.999957i | \(0.497052\pi\) | |||||||
\(180\) | 3.52887 | + | 5.70500i | 0.263027 | + | 0.425226i | ||||
\(181\) | 0.785759 | 0.0584050 | 0.0292025 | − | 0.999574i | \(-0.490703\pi\) | ||||
0.0292025 | + | 0.999574i | \(0.490703\pi\) | |||||||
\(182\) | 0.0650224 | − | 1.32447i | 0.00481978 | − | 0.0981761i | ||||
\(183\) | 0.601012 | + | 13.1284i | 0.0444281 | + | 0.970479i | ||||
\(184\) | 5.05684 | + | 2.91957i | 0.372796 | + | 0.215234i | ||||
\(185\) | −12.4213 | − | 14.0413i | −0.913231 | − | 1.03233i | ||||
\(186\) | −15.0305 | − | 3.29886i | −1.10209 | − | 0.241884i | ||||
\(187\) | −2.91520 | − | 10.8797i | −0.213181 | − | 0.795601i | ||||
\(188\) | −1.68811 | + | 1.68811i | −0.123118 | + | 0.123118i | ||||
\(189\) | 11.2542 | − | 7.89576i | 0.818623 | − | 0.574332i | ||||
\(190\) | −6.13406 | + | 1.24764i | −0.445011 | + | 0.0905133i | ||||
\(191\) | 8.94888 | + | 5.16664i | 0.647518 | + | 0.373845i | 0.787505 | − | 0.616309i | \(-0.211373\pi\) |
−0.139987 | + | 0.990153i | \(0.544706\pi\) | |||||||
\(192\) | 0.933717 | + | 1.45883i | 0.0673852 | + | 0.105282i | ||||
\(193\) | −3.18118 | + | 11.8723i | −0.228986 | + | 0.854589i | 0.751782 | + | 0.659412i | \(0.229195\pi\) |
−0.980768 | + | 0.195177i | \(0.937472\pi\) | |||||||
\(194\) | −8.23799 | + | 14.2686i | −0.591453 | + | 1.02443i | ||||
\(195\) | −1.88252 | + | 0.473487i | −0.134810 | + | 0.0339071i | ||||
\(196\) | −0.685653 | + | 6.96634i | −0.0489752 | + | 0.497596i | ||||
\(197\) | 8.78363 | + | 8.78363i | 0.625808 | + | 0.625808i | 0.947010 | − | 0.321203i | \(-0.104087\pi\) |
−0.321203 | + | 0.947010i | \(0.604087\pi\) | |||||||
\(198\) | 3.60953 | + | 9.78813i | 0.256518 | + | 0.695612i | ||||
\(199\) | −14.0224 | + | 8.09584i | −0.994022 | + | 0.573899i | −0.906474 | − | 0.422262i | \(-0.861236\pi\) |
−0.0875478 | + | 0.996160i | \(0.527903\pi\) | |||||||
\(200\) | 0.695325 | + | 4.95142i | 0.0491669 | + | 0.350118i | ||||
\(201\) | −23.2596 | + | 7.38781i | −1.64060 | + | 0.521096i | ||||
\(202\) | 2.24432 | − | 2.24432i | 0.157910 | − | 0.157910i | ||||
\(203\) | 2.39157 | + | 4.65561i | 0.167855 | + | 0.326760i | ||||
\(204\) | 4.14417 | + | 3.78135i | 0.290150 | + | 0.264747i | ||||
\(205\) | −7.94871 | − | 15.9448i | −0.555162 | − | 1.11363i | ||||
\(206\) | −4.32599 | + | 2.49761i | −0.301406 | + | 0.174017i | ||||
\(207\) | −17.2640 | − | 2.96889i | −1.19993 | − | 0.206352i | ||||
\(208\) | −0.484126 | + | 0.129721i | −0.0335681 | + | 0.00899455i | ||||
\(209\) | −9.73489 | −0.673376 | ||||||||
\(210\) | 10.0480 | − | 2.00915i | 0.693381 | − | 0.138645i | ||||
\(211\) | −10.8789 | −0.748933 | −0.374466 | − | 0.927240i | \(-0.622174\pi\) | ||||
−0.374466 | + | 0.927240i | \(0.622174\pi\) | |||||||
\(212\) | −5.79919 | + | 1.55389i | −0.398290 | + | 0.106722i | ||||
\(213\) | 3.70073 | + | 5.78197i | 0.253570 | + | 0.396174i | ||||
\(214\) | 11.9100 | − | 6.87625i | 0.814152 | − | 0.470051i | ||||
\(215\) | 18.1000 | + | 6.05726i | 1.23441 | + | 0.413102i | ||||
\(216\) | −4.14237 | − | 3.13701i | −0.281852 | − | 0.213446i | ||||
\(217\) | −12.7370 | + | 19.7560i | −0.864645 | + | 1.34112i | ||||
\(218\) | −1.35632 | + | 1.35632i | −0.0918615 | + | 0.0918615i | ||||
\(219\) | −2.00167 | − | 6.30199i | −0.135260 | − | 0.425849i | ||||
\(220\) | −0.475131 | + | 7.76137i | −0.0320333 | + | 0.523271i | ||||
\(221\) | −1.40589 | + | 0.811693i | −0.0945707 | + | 0.0546004i | ||||
\(222\) | 12.8947 | + | 6.67793i | 0.865434 | + | 0.448193i | ||||
\(223\) | −4.82814 | − | 4.82814i | −0.323316 | − | 0.323316i | 0.526722 | − | 0.850038i | \(-0.323421\pi\) |
−0.850038 | + | 0.526722i | \(0.823421\pi\) | |||||||
\(224\) | 2.58610 | − | 0.558635i | 0.172791 | − | 0.0373254i | ||||
\(225\) | −7.09657 | − | 13.2151i | −0.473105 | − | 0.881006i | ||||
\(226\) | −3.60686 | + | 6.24727i | −0.239925 | + | 0.415562i | ||||
\(227\) | −3.08682 | + | 11.5202i | −0.204879 | + | 0.764620i | 0.784607 | + | 0.619993i | \(0.212865\pi\) |
−0.989486 | + | 0.144627i | \(0.953802\pi\) | |||||||
\(228\) | 4.08384 | − | 2.61385i | 0.270459 | − | 0.173106i | ||||
\(229\) | 11.5271 | + | 6.65520i | 0.761735 | + | 0.439788i | 0.829918 | − | 0.557885i | \(-0.188387\pi\) |
−0.0681831 | + | 0.997673i | \(0.521720\pi\) | |||||||
\(230\) | −10.8874 | − | 7.20708i | −0.717895 | − | 0.475221i | ||||
\(231\) | 15.9358 | + | 0.0526891i | 1.04850 | + | 0.00346669i | ||||
\(232\) | 1.39883 | − | 1.39883i | 0.0918380 | − | 0.0918380i | ||||
\(233\) | −0.0494125 | − | 0.184410i | −0.00323712 | − | 0.0120811i | 0.964288 | − | 0.264855i | \(-0.0853239\pi\) |
−0.967525 | + | 0.252773i | \(0.918657\pi\) | |||||||
\(234\) | 1.22803 | − | 0.867638i | 0.0802788 | − | 0.0567193i | ||||
\(235\) | 3.99832 | − | 3.53703i | 0.260822 | − | 0.230730i | ||||
\(236\) | −3.78284 | − | 2.18403i | −0.246242 | − | 0.142168i | ||||
\(237\) | 14.9564 | − | 0.684698i | 0.971525 | − | 0.0444759i | ||||
\(238\) | 7.62258 | − | 3.91570i | 0.494099 | − | 0.253817i | ||||
\(239\) | 7.37456 | 0.477020 | 0.238510 | − | 0.971140i | \(-0.423341\pi\) | ||||
0.238510 | + | 0.971140i | \(0.423341\pi\) | |||||||
\(240\) | −1.88463 | − | 3.38351i | −0.121653 | − | 0.218405i | ||||
\(241\) | −7.27332 | − | 12.5978i | −0.468516 | − | 0.811493i | 0.530837 | − | 0.847474i | \(-0.321878\pi\) |
−0.999352 | + | 0.0359810i | \(0.988544\pi\) | |||||||
\(242\) | −0.282868 | + | 1.05568i | −0.0181834 | + | 0.0678615i | ||||
\(243\) | 14.9157 | + | 4.53011i | 0.956843 | + | 0.290607i | ||||
\(244\) | − | 7.58763i | − | 0.485748i | ||||||
\(245\) | 2.48212 | − | 15.4544i | 0.158577 | − | 0.987347i | ||||
\(246\) | 10.1944 | + | 9.30190i | 0.649973 | + | 0.593067i | ||||
\(247\) | 0.363142 | + | 1.35527i | 0.0231062 | + | 0.0862334i | ||||
\(248\) | 8.58169 | + | 2.29946i | 0.544938 | + | 0.146016i | ||||
\(249\) | −5.50791 | + | 25.0955i | −0.349049 | + | 1.59037i | ||||
\(250\) | −0.875375 | − | 11.1460i | −0.0553636 | − | 0.704936i | ||||
\(251\) | − | 2.79937i | − | 0.176694i | −0.996090 | − | 0.0883472i | \(-0.971842\pi\) | ||
0.996090 | − | 0.0883472i | \(-0.0281585\pi\) | |||||||
\(252\) | −6.69929 | + | 4.25670i | −0.422016 | + | 0.268147i | ||||
\(253\) | −14.3582 | − | 14.3582i | −0.902691 | − | 0.902691i | ||||
\(254\) | 3.99585 | − | 6.92102i | 0.250722 | − | 0.434263i | ||||
\(255\) | −8.73269 | − | 9.00577i | −0.546863 | − | 0.563963i | ||||
\(256\) | −0.500000 | − | 0.866025i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | 26.7017 | − | 7.15470i | 1.66561 | − | 0.446298i | 0.701686 | − | 0.712487i | \(-0.252431\pi\) |
0.963921 | + | 0.266189i | \(0.0857644\pi\) | |||||||
\(258\) | −14.7690 | + | 0.676116i | −0.919475 | + | 0.0420931i | ||||
\(259\) | 16.4350 | − | 14.8968i | 1.02122 | − | 0.925642i | ||||
\(260\) | 1.09824 | − | 0.223377i | 0.0681100 | − | 0.0138533i | ||||
\(261\) | −2.48537 | + | 5.38927i | −0.153840 | + | 0.333587i | ||||
\(262\) | 0.906401 | + | 0.242869i | 0.0559976 | + | 0.0150045i | ||||
\(263\) | −9.41543 | − | 2.52286i | −0.580580 | − | 0.155566i | −0.0434357 | − | 0.999056i | \(-0.513830\pi\) |
−0.537145 | + | 0.843490i | \(0.680497\pi\) | |||||||
\(264\) | −1.82335 | − | 5.74057i | −0.112219 | − | 0.353308i | ||||
\(265\) | 13.1555 | − | 2.67576i | 0.808134 | − | 0.164371i | ||||
\(266\) | −1.56385 | − | 7.23954i | −0.0958855 | − | 0.443885i | ||||
\(267\) | −0.570145 | − | 12.4541i | −0.0348923 | − | 0.762181i | ||||
\(268\) | 13.6099 | − | 3.64677i | 0.831359 | − | 0.222762i | ||||
\(269\) | −10.2899 | − | 17.8226i | −0.627384 | − | 1.08666i | −0.988075 | − | 0.153975i | \(-0.950792\pi\) |
0.360691 | − | 0.932685i | \(-0.382541\pi\) | |||||||
\(270\) | 8.81669 | + | 7.56742i | 0.536567 | + | 0.460539i | ||||
\(271\) | 11.5399 | − | 19.9876i | 0.700997 | − | 1.21416i | −0.267120 | − | 0.963663i | \(-0.586072\pi\) |
0.968117 | − | 0.250499i | \(-0.0805945\pi\) | |||||||
\(272\) | −2.29030 | − | 2.29030i | −0.138870 | − | 0.138870i | ||||
\(273\) | −0.587119 | − | 2.22050i | −0.0355341 | − | 0.134391i | ||||
\(274\) | 18.1314i | 1.09536i | ||||||||
\(275\) | 2.12088 | − | 17.2576i | 0.127894 | − | 1.04067i | ||||
\(276\) | 9.87856 | + | 2.16812i | 0.594620 | + | 0.130506i | ||||
\(277\) | −7.08871 | − | 1.89941i | −0.425919 | − | 0.114125i | 0.0394907 | − | 0.999220i | \(-0.487426\pi\) |
−0.465410 | + | 0.885095i | \(0.654093\pi\) | |||||||
\(278\) | −3.73734 | − | 13.9479i | −0.224151 | − | 0.836542i | ||||
\(279\) | −26.5418 | + | 2.43524i | −1.58901 | + | 0.145794i | ||||
\(280\) | −5.84822 | + | 0.893472i | −0.349498 | + | 0.0533952i | ||||
\(281\) | − | 7.12223i | − | 0.424877i | −0.977174 | − | 0.212438i | \(-0.931860\pi\) | ||
0.977174 | − | 0.212438i | \(-0.0681405\pi\) | |||||||
\(282\) | −1.90157 | + | 3.67182i | −0.113237 | + | 0.218654i | ||||
\(283\) | 3.21738 | − | 12.0074i | 0.191254 | − | 0.713768i | −0.801951 | − | 0.597389i | \(-0.796205\pi\) |
0.993205 | − | 0.116379i | \(-0.0371287\pi\) | |||||||
\(284\) | −1.98172 | − | 3.43244i | −0.117593 | − | 0.203678i | ||||
\(285\) | −9.47182 | + | 5.27585i | −0.561062 | + | 0.312514i | ||||
\(286\) | 1.74293 | 0.103062 | ||||||||
\(287\) | 18.7511 | − | 9.63239i | 1.10684 | − | 0.568582i | ||||
\(288\) | 2.30627 | + | 1.91863i | 0.135898 | + | 0.113056i | ||||
\(289\) | 5.63702 | + | 3.25454i | 0.331590 | + | 0.191443i | ||||
\(290\) | −3.31317 | + | 2.93092i | −0.194556 | + | 0.172110i | ||||
\(291\) | −6.11767 | + | 27.8738i | −0.358624 | + | 1.63399i | ||||
\(292\) | 0.988062 | + | 3.68750i | 0.0578219 | + | 0.215794i | ||||
\(293\) | 4.01118 | − | 4.01118i | 0.234336 | − | 0.234336i | −0.580164 | − | 0.814500i | \(-0.697012\pi\) |
0.814500 | + | 0.580164i | \(0.197012\pi\) | |||||||
\(294\) | 2.52079 | + | 11.8594i | 0.147016 | + | 0.691655i | ||||
\(295\) | 8.14448 | + | 5.39136i | 0.474190 | + | 0.313897i | ||||
\(296\) | −7.26063 | − | 4.19193i | −0.422016 | − | 0.243651i | ||||
\(297\) | 11.0908 | + | 14.2655i | 0.643551 | + | 0.827767i | ||||
\(298\) | −2.35557 | + | 8.79112i | −0.136455 | + | 0.509256i | ||||
\(299\) | −1.46330 | + | 2.53451i | −0.0846249 | + | 0.146575i | ||||
\(300\) | 3.74400 | + | 7.80913i | 0.216160 | + | 0.450860i | ||||
\(301\) | −6.90767 | + | 21.5012i | −0.398151 | + | 1.23931i | ||||
\(302\) | −14.1606 | − | 14.1606i | −0.814852 | − | 0.814852i | ||||
\(303\) | 2.52812 | − | 4.88165i | 0.145237 | − | 0.280444i | ||||
\(304\) | −2.42435 | + | 1.39970i | −0.139046 | + | 0.0802784i | ||||
\(305\) | −1.03670 | + | 16.9347i | −0.0593613 | + | 0.969681i | ||||
\(306\) | 8.82380 | + | 4.06927i | 0.504423 | + | 0.232625i | ||||
\(307\) | 17.5067 | − | 17.5067i | 0.999159 | − | 0.999159i | −0.000841117 | − | 1.00000i | \(-0.500268\pi\) |
1.00000 | 0.000841117i | \(0.000267736\pi\) | ||||||||
\(308\) | −9.18950 | − | 0.451143i | −0.523620 | − | 0.0257062i | ||||
\(309\) | −5.83169 | + | 6.39125i | −0.331753 | + | 0.363586i | ||||
\(310\) | −18.8392 | − | 6.30465i | −1.06999 | − | 0.358080i | ||||
\(311\) | 4.32483 | − | 2.49694i | 0.245238 | − | 0.141588i | −0.372344 | − | 0.928095i | \(-0.621446\pi\) |
0.617582 | + | 0.786506i | \(0.288112\pi\) | |||||||
\(312\) | −0.731170 | + | 0.467983i | −0.0413944 | + | 0.0264943i | ||||
\(313\) | −10.9857 | + | 2.94360i | −0.620946 | + | 0.166382i | −0.555558 | − | 0.831478i | \(-0.687495\pi\) |
−0.0653882 | + | 0.997860i | \(0.520829\pi\) | |||||||
\(314\) | 4.73752 | 0.267354 | ||||||||
\(315\) | 15.5337 | − | 8.58516i | 0.875223 | − | 0.483719i | ||||
\(316\) | −8.64414 | −0.486271 | ||||||||
\(317\) | −25.9681 | + | 6.95813i | −1.45851 | + | 0.390808i | −0.898976 | − | 0.437998i | \(-0.855688\pi\) |
−0.559537 | + | 0.828805i | \(0.689021\pi\) | |||||||
\(318\) | −8.75845 | + | 5.60582i | −0.491149 | + | 0.314359i | ||||
\(319\) | −5.95768 | + | 3.43967i | −0.333566 | + | 0.192585i | ||||
\(320\) | 0.997619 | + | 2.00119i | 0.0557686 | + | 0.111870i | ||||
\(321\) | 16.0554 | − | 17.5960i | 0.896126 | − | 0.982111i | ||||
\(322\) | 8.37120 | − | 12.9843i | 0.466509 | − | 0.723587i | ||||
\(323\) | −6.41147 | + | 6.41147i | −0.356744 | + | 0.356744i | ||||
\(324\) | −8.48296 | − | 3.00655i | −0.471276 | − | 0.167030i | ||||
\(325\) | −2.48167 | + | 0.348500i | −0.137658 | + | 0.0193313i | ||||
\(326\) | −5.09599 | + | 2.94217i | −0.282241 | + | 0.162952i | ||||
\(327\) | −1.52783 | + | 2.95014i | −0.0844891 | + | 0.163143i | ||||
\(328\) | −5.63400 | − | 5.63400i | −0.311086 | − | 0.311086i | ||||
\(329\) | 4.24194 | + | 4.67995i | 0.233866 | + | 0.258014i | ||||
\(330\) | 3.28518 | + | 13.0614i | 0.180843 | + | 0.719009i | ||||
\(331\) | 13.4191 | − | 23.2426i | 0.737580 | − | 1.27753i | −0.216002 | − | 0.976393i | \(-0.569302\pi\) |
0.953582 | − | 0.301133i | \(-0.0973649\pi\) | |||||||
\(332\) | 3.83927 | − | 14.3283i | 0.210707 | − | 0.786369i | ||||
\(333\) | 24.7877 | + | 4.26274i | 1.35836 | + | 0.233597i | ||||
\(334\) | 8.30348 | + | 4.79401i | 0.454346 | + | 0.262317i | ||||
\(335\) | −30.8741 | + | 6.27966i | −1.68683 | + | 0.343094i | ||||
\(336\) | 3.97618 | − | 2.27815i | 0.216918 | − | 0.124283i | ||||
\(337\) | −10.5014 | + | 10.5014i | −0.572050 | + | 0.572050i | −0.932701 | − | 0.360651i | \(-0.882555\pi\) |
0.360651 | + | 0.932701i | \(0.382555\pi\) | |||||||
\(338\) | 3.29963 | + | 12.3144i | 0.179476 | + | 0.669814i | ||||
\(339\) | −2.67851 | + | 12.2041i | −0.145477 | + | 0.662833i | ||||
\(340\) | 4.79877 | + | 5.42462i | 0.260250 | + | 0.294191i | ||||
\(341\) | −26.7562 | − | 15.4477i | −1.44893 | − | 0.836541i | ||||
\(342\) | 5.37101 | − | 6.45617i | 0.290431 | − | 0.349110i | ||||
\(343\) | 18.3201 | + | 2.71565i | 0.989191 | + | 0.146631i | ||||
\(344\) | 8.53579 | 0.460219 | ||||||||
\(345\) | −21.7516 | − | 6.18872i | −1.17107 | − | 0.333190i | ||||
\(346\) | −6.66858 | − | 11.5503i | −0.358505 | − | 0.620949i | ||||
\(347\) | −4.03107 | + | 15.0442i | −0.216399 | + | 0.807613i | 0.769270 | + | 0.638924i | \(0.220620\pi\) |
−0.985669 | + | 0.168689i | \(0.946047\pi\) | |||||||
\(348\) | 1.57572 | − | 3.04262i | 0.0844674 | − | 0.163101i | ||||
\(349\) | − | 26.9797i | − | 1.44419i | −0.691794 | − | 0.722095i | \(-0.743179\pi\) | ||
0.691794 | − | 0.722095i | \(-0.256821\pi\) | |||||||
\(350\) | 13.1747 | − | 1.19509i | 0.704215 | − | 0.0638800i | ||||
\(351\) | 1.57228 | − | 2.07617i | 0.0839222 | − | 0.110818i | ||||
\(352\) | 0.900040 | + | 3.35899i | 0.0479723 | + | 0.179035i | ||||
\(353\) | 22.6214 | + | 6.06139i | 1.20402 | + | 0.322615i | 0.804412 | − | 0.594072i | \(-0.202481\pi\) |
0.399605 | + | 0.916687i | \(0.369147\pi\) | |||||||
\(354\) | −7.38979 | − | 1.62189i | −0.392763 | − | 0.0862027i | ||||
\(355\) | 3.95400 | + | 7.93159i | 0.209857 | + | 0.420965i | ||||
\(356\) | 7.19793i | 0.381490i | ||||||||
\(357\) | 10.5301 | − | 10.4607i | 0.557312 | − | 0.553639i | ||||
\(358\) | −16.4729 | − | 16.4729i | −0.870619 | − | 0.870619i | ||||
\(359\) | −9.51649 | + | 16.4830i | −0.502261 | + | 0.869941i | 0.497736 | + | 0.867329i | \(0.334165\pi\) |
−0.999997 | + | 0.00261263i | \(0.999168\pi\) | |||||||
\(360\) | −4.88519 | − | 4.59727i | −0.257472 | − | 0.242297i | ||||
\(361\) | −5.58167 | − | 9.66774i | −0.293772 | − | 0.508828i | ||||
\(362\) | −0.758985 | + | 0.203369i | −0.0398914 | + | 0.0106889i | ||||
\(363\) | 0.0865694 | + | 1.89101i | 0.00454372 | + | 0.0992522i | ||||
\(364\) | 0.279991 | + | 1.29617i | 0.0146755 | + | 0.0679376i | ||||
\(365\) | −1.70142 | − | 8.36509i | −0.0890564 | − | 0.437849i | ||||
\(366\) | −3.97841 | − | 12.5255i | −0.207955 | − | 0.654719i | ||||
\(367\) | −8.65175 | − | 2.31823i | −0.451618 | − | 0.121011i | 0.0258384 | − | 0.999666i | \(-0.491774\pi\) |
−0.477456 | + | 0.878655i | \(0.658441\pi\) | |||||||
\(368\) | −5.64018 | − | 1.51128i | −0.294015 | − | 0.0787810i | ||||
\(369\) | 21.7060 | + | 10.0102i | 1.12997 | + | 0.521108i | ||||
\(370\) | 15.6322 | + | 10.3479i | 0.812679 | + | 0.537964i | ||||
\(371\) | 3.35391 | + | 15.5264i | 0.174127 | + | 0.806088i | ||||
\(372\) | 15.3722 | − | 0.703730i | 0.797009 | − | 0.0364867i | ||||
\(373\) | −9.33806 | + | 2.50213i | −0.483506 | + | 0.129555i | −0.492335 | − | 0.870406i | \(-0.663856\pi\) |
0.00882841 | + | 0.999961i | \(0.497190\pi\) | |||||||
\(374\) | 5.63174 | + | 9.75446i | 0.291210 | + | 0.504391i | ||||
\(375\) | −7.28924 | − | 17.9407i | −0.376415 | − | 0.926451i | ||||
\(376\) | 1.19367 | − | 2.06750i | 0.0615590 | − | 0.106623i | ||||
\(377\) | 0.701102 | + | 0.701102i | 0.0361086 | + | 0.0361086i | ||||
\(378\) | −8.82715 | + | 10.5395i | −0.454020 | + | 0.542094i | ||||
\(379\) | 9.63664i | 0.495001i | 0.968888 | + | 0.247500i | \(0.0796092\pi\) | ||||
−0.968888 | + | 0.247500i | \(0.920391\pi\) | |||||||
\(380\) | 5.60213 | − | 2.79274i | 0.287383 | − | 0.143265i | ||||
\(381\) | 2.96738 | − | 13.5202i | 0.152024 | − | 0.692662i | ||||
\(382\) | −9.98118 | − | 2.67445i | −0.510681 | − | 0.136837i | ||||
\(383\) | −5.07236 | − | 18.9303i | −0.259185 | − | 0.967293i | −0.965714 | − | 0.259609i | \(-0.916406\pi\) |
0.706529 | − | 0.707685i | \(-0.250260\pi\) | |||||||
\(384\) | −1.27947 | − | 1.16745i | −0.0652928 | − | 0.0595764i | ||||
\(385\) | 20.4483 | + | 2.26247i | 1.04214 | + | 0.115306i | ||||
\(386\) | − | 12.2911i | − | 0.625602i | ||||||
\(387\) | −24.0258 | + | 8.85992i | −1.22130 | + | 0.450375i | ||||
\(388\) | 4.26430 | − | 15.9146i | 0.216487 | − | 0.807940i | ||||
\(389\) | −5.28560 | − | 9.15493i | −0.267991 | − | 0.464174i | 0.700352 | − | 0.713798i | \(-0.253026\pi\) |
−0.968343 | + | 0.249624i | \(0.919693\pi\) | |||||||
\(390\) | 1.69583 | − | 0.944586i | 0.0858718 | − | 0.0478310i | ||||
\(391\) | −18.9128 | −0.956462 | ||||||||
\(392\) | −1.14073 | − | 6.90643i | −0.0576156 | − | 0.348827i | ||||
\(393\) | 1.62361 | − | 0.0743282i | 0.0819004 | − | 0.00374936i | ||||
\(394\) | −10.7577 | − | 6.21096i | −0.541965 | − | 0.312904i | ||||
\(395\) | 19.2928 | + | 1.18105i | 0.970725 | + | 0.0594252i | ||||
\(396\) | −6.01990 | − | 8.52039i | −0.302511 | − | 0.428166i | ||||
\(397\) | 4.05577 | + | 15.1363i | 0.203553 | + | 0.759671i | 0.989886 | + | 0.141868i | \(0.0453107\pi\) |
−0.786332 | + | 0.617804i | \(0.788023\pi\) | |||||||
\(398\) | 11.4492 | − | 11.4492i | 0.573899 | − | 0.573899i | ||||
\(399\) | −6.37747 | − | 11.1309i | −0.319273 | − | 0.557244i | ||||
\(400\) | −1.95315 | − | 4.60274i | −0.0976577 | − | 0.230137i | ||||
\(401\) | 22.4638 | + | 12.9695i | 1.12179 | + | 0.647666i | 0.941857 | − | 0.336013i | \(-0.109079\pi\) |
0.179932 | + | 0.983679i | \(0.442412\pi\) | |||||||
\(402\) | 20.5549 | − | 13.1561i | 1.02519 | − | 0.656167i | ||||
\(403\) | −1.15250 | + | 4.30118i | −0.0574100 | + | 0.214257i | ||||
\(404\) | −1.58698 | + | 2.74872i | −0.0789551 | + | 0.136754i | ||||
\(405\) | 18.5223 | + | 7.86931i | 0.920378 | + | 0.391029i | ||||
\(406\) | −3.51504 | − | 3.87799i | −0.174449 | − | 0.192461i | ||||
\(407\) | 20.6155 | + | 20.6155i | 1.02187 | + | 1.02187i | ||||
\(408\) | −4.98165 | − | 2.57991i | −0.246628 | − | 0.127725i | ||||
\(409\) | 5.22497 | − | 3.01664i | 0.258358 | − | 0.149163i | −0.365227 | − | 0.930918i | \(-0.619009\pi\) |
0.623585 | + | 0.781755i | \(0.285675\pi\) | |||||||
\(410\) | 11.8047 | + | 13.3442i | 0.582992 | + | 0.659025i | ||||
\(411\) | 9.50683 | + | 29.9310i | 0.468937 | + | 1.47639i | ||||
\(412\) | 3.53216 | − | 3.53216i | 0.174017 | − | 0.174017i | ||||
\(413\) | −6.26219 | + | 9.71308i | −0.308142 | + | 0.477950i | ||||
\(414\) | 17.4442 | − | 1.60052i | 0.857333 | − | 0.0786614i | ||||
\(415\) | −10.5265 | + | 31.4547i | −0.516726 | + | 1.54405i | ||||
\(416\) | 0.434056 | − | 0.250602i | 0.0212813 | − | 0.0122868i | ||||
\(417\) | −13.4828 | − | 21.0654i | −0.660258 | − | 1.03158i | ||||
\(418\) | 9.40318 | − | 2.51957i | 0.459925 | − | 0.123236i | ||||
\(419\) | 3.42723 | 0.167431 | 0.0837157 | − | 0.996490i | \(-0.473321\pi\) | ||||
0.0837157 | + | 0.996490i | \(0.473321\pi\) | |||||||
\(420\) | −9.18566 | + | 4.54132i | −0.448214 | + | 0.221594i | ||||
\(421\) | −12.2231 | −0.595718 | −0.297859 | − | 0.954610i | \(-0.596272\pi\) | ||||
−0.297859 | + | 0.954610i | \(0.596272\pi\) | |||||||
\(422\) | 10.5082 | − | 2.81566i | 0.511531 | − | 0.137064i | ||||
\(423\) | −1.21384 | + | 7.05843i | −0.0590188 | + | 0.343193i | ||||
\(424\) | 5.19941 | − | 3.00188i | 0.252506 | − | 0.145784i | ||||
\(425\) | −9.96915 | − | 12.7628i | −0.483575 | − | 0.619087i | ||||
\(426\) | −5.07111 | − | 4.62713i | −0.245696 | − | 0.224185i | ||||
\(427\) | −20.0508 | − | 0.984361i | −0.970327 | − | 0.0476365i | ||||
\(428\) | −9.72449 | + | 9.72449i | −0.470051 | + | 0.470051i | ||||
\(429\) | 2.87720 | − | 0.913870i | 0.138913 | − | 0.0441221i | ||||
\(430\) | −19.0510 | − | 1.16625i | −0.918718 | − | 0.0562415i | ||||
\(431\) | 5.13623 | − | 2.96540i | 0.247403 | − | 0.142838i | −0.371171 | − | 0.928564i | \(-0.621044\pi\) |
0.618575 | + | 0.785726i | \(0.287710\pi\) | |||||||
\(432\) | 4.81314 | + | 1.95799i | 0.231572 | + | 0.0942039i | ||||
\(433\) | 6.21844 | + | 6.21844i | 0.298839 | + | 0.298839i | 0.840559 | − | 0.541720i | \(-0.182227\pi\) |
−0.541720 | + | 0.840559i | \(0.682227\pi\) | |||||||
\(434\) | 7.18979 | − | 22.3794i | 0.345121 | − | 1.07424i | ||||
\(435\) | −3.93255 | + | 6.57550i | −0.188551 | + | 0.315271i | ||||
\(436\) | 0.959063 | − | 1.66115i | 0.0459308 | − | 0.0795544i | ||||
\(437\) | −4.23069 | + | 15.7891i | −0.202381 | + | 0.755297i | ||||
\(438\) | 3.56454 | + | 5.56918i | 0.170320 | + | 0.266106i | ||||
\(439\) | −2.39660 | − | 1.38368i | −0.114383 | − | 0.0660393i | 0.441717 | − | 0.897155i | \(-0.354370\pi\) |
−0.556100 | + | 0.831115i | \(0.687703\pi\) | |||||||
\(440\) | −1.54985 | − | 7.61988i | −0.0738862 | − | 0.363263i | ||||
\(441\) | 10.3795 | + | 18.2556i | 0.494262 | + | 0.869313i | ||||
\(442\) | 1.14791 | − | 1.14791i | 0.0546004 | − | 0.0546004i | ||||
\(443\) | 6.26524 | + | 23.3822i | 0.297671 | + | 1.11092i | 0.939073 | + | 0.343717i | \(0.111686\pi\) |
−0.641403 | + | 0.767204i | \(0.721647\pi\) | |||||||
\(444\) | −14.1837 | − | 3.11300i | −0.673127 | − | 0.147736i | ||||
\(445\) | 0.983457 | − | 16.0650i | 0.0466203 | − | 0.761554i | ||||
\(446\) | 5.91324 | + | 3.41401i | 0.280000 | + | 0.161658i | ||||
\(447\) | 0.720904 | + | 15.7473i | 0.0340976 | + | 0.744822i | ||||
\(448\) | −2.35340 | + | 1.20893i | −0.111188 | + | 0.0571167i | ||||
\(449\) | −6.14519 | −0.290010 | −0.145005 | − | 0.989431i | \(-0.546320\pi\) | ||||
−0.145005 | + | 0.989431i | \(0.546320\pi\) | |||||||
\(450\) | 10.2751 | + | 10.9281i | 0.484372 | + | 0.515154i | ||||
\(451\) | 13.8537 | + | 23.9954i | 0.652348 | + | 1.12990i | ||||
\(452\) | 1.86705 | − | 6.96792i | 0.0878186 | − | 0.327743i | ||||
\(453\) | −30.8009 | − | 15.9513i | −1.44715 | − | 0.749455i | ||||
\(454\) | − | 11.9266i | − | 0.559741i | ||||||
\(455\) | −0.447812 | − | 2.93116i | −0.0209938 | − | 0.137415i | ||||
\(456\) | −3.26817 | + | 3.58176i | −0.153046 | + | 0.167731i | ||||
\(457\) | 2.83485 | + | 10.5798i | 0.132609 | + | 0.494903i | 0.999996 | − | 0.00273047i | \(-0.000869137\pi\) |
−0.867387 | + | 0.497633i | \(0.834202\pi\) | |||||||
\(458\) | −12.8569 | − | 3.44499i | −0.600762 | − | 0.160974i | ||||
\(459\) | 16.6998 | + | 2.09090i | 0.779480 | + | 0.0975946i | ||||
\(460\) | 12.3818 | + | 4.14363i | 0.577303 | + | 0.193198i | ||||
\(461\) | − | 0.00387108i | − | 0.000180294i | −1.00000 | 9.01471e-5i | \(-0.999971\pi\) | |||
1.00000 | 9.01471e-5i | \(-2.86947e-5\pi\) | ||||||||
\(462\) | −15.4064 | + | 4.07358i | −0.716771 | + | 0.189520i | ||||
\(463\) | 27.8340 | + | 27.8340i | 1.29356 | + | 1.29356i | 0.932571 | + | 0.360986i | \(0.117560\pi\) |
0.360986 | + | 0.932571i | \(0.382440\pi\) | |||||||
\(464\) | −0.989125 | + | 1.71321i | −0.0459190 | + | 0.0795340i | ||||
\(465\) | −34.4051 | − | 0.529657i | −1.59550 | − | 0.0245623i | ||||
\(466\) | 0.0954575 | + | 0.165337i | 0.00442199 | + | 0.00765910i | ||||
\(467\) | 10.0261 | − | 2.68649i | 0.463953 | − | 0.124316i | −0.0192680 | − | 0.999814i | \(-0.506134\pi\) |
0.483221 | + | 0.875499i | \(0.339467\pi\) | |||||||
\(468\) | −0.961625 | + | 1.15591i | −0.0444511 | + | 0.0534320i | ||||
\(469\) | −7.87119 | − | 36.4383i | −0.363458 | − | 1.68256i | ||||
\(470\) | −2.94663 | + | 4.45135i | −0.135918 | + | 0.205325i | ||||
\(471\) | 7.82062 | − | 2.48402i | 0.360355 | − | 0.114458i | ||||
\(472\) | 4.21921 | + | 1.13053i | 0.194205 | + | 0.0520371i | ||||
\(473\) | −28.6717 | − | 7.68255i | −1.31833 | − | 0.353244i | ||||
\(474\) | −14.2696 | + | 4.53238i | −0.655424 | + | 0.208179i | ||||
\(475\) | −12.8849 | + | 5.46766i | −0.591201 | + | 0.250874i | ||||
\(476\) | −6.34939 | + | 5.75514i | −0.291024 | + | 0.263787i | ||||
\(477\) | −11.5190 | + | 13.8463i | −0.527418 | + | 0.633978i | ||||
\(478\) | −7.12327 | + | 1.90868i | −0.325811 | + | 0.0873008i | ||||
\(479\) | −2.84062 | − | 4.92009i | −0.129791 | − | 0.224805i | 0.793805 | − | 0.608173i | \(-0.208097\pi\) |
−0.923596 | + | 0.383368i | \(0.874764\pi\) | |||||||
\(480\) | 2.69613 | + | 2.78044i | 0.123061 | + | 0.126909i | ||||
\(481\) | 2.10101 | − | 3.63906i | 0.0957980 | − | 0.165927i | ||||
\(482\) | 10.2860 | + | 10.2860i | 0.468516 | + | 0.468516i | ||||
\(483\) | 7.01098 | − | 25.8235i | 0.319011 | − | 1.17501i | ||||
\(484\) | − | 1.09292i | − | 0.0496781i | ||||||
\(485\) | −11.6919 | + | 34.9369i | −0.530900 | + | 1.58640i | ||||
\(486\) | −15.5799 | − | 0.515285i | −0.706720 | − | 0.0233738i | ||||
\(487\) | −6.53929 | − | 1.75220i | −0.296324 | − | 0.0793997i | 0.107594 | − | 0.994195i | \(-0.465685\pi\) |
−0.403918 | + | 0.914795i | \(0.632352\pi\) | |||||||
\(488\) | 1.96382 | + | 7.32908i | 0.0888980 | + | 0.331772i | ||||
\(489\) | −6.86970 | + | 7.52886i | −0.310659 | + | 0.340467i | ||||
\(490\) | 1.60236 | + | 15.5702i | 0.0723871 | + | 0.703392i | ||||
\(491\) | 11.2931i | 0.509652i | 0.966987 | + | 0.254826i | \(0.0820182\pi\) | ||||
−0.966987 | + | 0.254826i | \(0.917982\pi\) | |||||||
\(492\) | −12.2546 | − | 6.34643i | −0.552479 | − | 0.286119i | ||||
\(493\) | −1.65838 | + | 6.18916i | −0.0746897 | + | 0.278746i | ||||
\(494\) | −0.701537 | − | 1.21510i | −0.0315636 | − | 0.0546698i | ||||
\(495\) | 12.2716 | + | 19.8391i | 0.551568 | + | 0.891700i | ||||
\(496\) | −8.88441 | −0.398922 | ||||||||
\(497\) | −9.32755 | + | 4.79153i | −0.418398 | + | 0.214930i | ||||
\(498\) | −1.17498 | − | 25.6660i | −0.0526519 | − | 1.15012i | ||||
\(499\) | 2.82144 | + | 1.62896i | 0.126305 | + | 0.0729221i | 0.561821 | − | 0.827259i | \(-0.310101\pi\) |
−0.435516 | + | 0.900181i | \(0.643434\pi\) | |||||||
\(500\) | 3.73035 | + | 10.5397i | 0.166826 | + | 0.471348i | ||||
\(501\) | 16.2209 | + | 3.56011i | 0.724695 | + | 0.159054i | ||||
\(502\) | 0.724529 | + | 2.70398i | 0.0323373 | + | 0.120685i | ||||
\(503\) | 29.1072 | − | 29.1072i | 1.29783 | − | 1.29783i | 0.368003 | − | 0.929825i | \(-0.380042\pi\) |
0.929825 | − | 0.368003i | \(-0.119958\pi\) | |||||||
\(504\) | 5.36930 | − | 5.84556i | 0.239168 | − | 0.260382i | ||||
\(505\) | 3.91752 | − | 5.91802i | 0.174327 | − | 0.263349i | ||||
\(506\) | 17.5851 | + | 10.1528i | 0.781754 | + | 0.451346i | ||||
\(507\) | 11.9038 | + | 18.5983i | 0.528665 | + | 0.825978i | ||||
\(508\) | −2.06840 | + | 7.71939i | −0.0917706 | + | 0.342493i | ||||
\(509\) | 15.2527 | − | 26.4185i | 0.676064 | − | 1.17098i | −0.300092 | − | 0.953910i | \(-0.597017\pi\) |
0.976157 | − | 0.217068i | \(-0.0696493\pi\) | |||||||
\(510\) | 10.7660 | + | 6.43872i | 0.476727 | + | 0.285111i | ||||
\(511\) | 9.87265 | − | 2.13263i | 0.436740 | − | 0.0943422i | ||||
\(512\) | 0.707107 | + | 0.707107i | 0.0312500 | + | 0.0312500i | ||||
\(513\) | 5.48121 | − | 13.4739i | 0.242001 | − | 0.594888i | ||||
\(514\) | −23.9401 | + | 13.8218i | −1.05595 | + | 0.609654i | ||||
\(515\) | −8.36598 | + | 7.40078i | −0.368649 | + | 0.326118i | ||||
\(516\) | 14.0907 | − | 4.47557i | 0.620310 | − | 0.197026i | ||||
\(517\) | −5.87038 | + | 5.87038i | −0.258179 | + | 0.258179i | ||||
\(518\) | −12.0194 | + | 18.6429i | −0.528102 | + | 0.819122i | ||||
\(519\) | −17.0645 | − | 15.5705i | −0.749051 | − | 0.683470i | ||||
\(520\) | −1.00300 | + | 0.500011i | −0.0439847 | + | 0.0219269i | ||||
\(521\) | 37.2040 | − | 21.4798i | 1.62994 | − | 0.941045i | 0.645829 | − | 0.763482i | \(-0.276512\pi\) |
0.984109 | − | 0.177563i | \(-0.0568213\pi\) | |||||||
\(522\) | 1.00583 | − | 5.84889i | 0.0440242 | − | 0.255999i | ||||
\(523\) | −34.1251 | + | 9.14379i | −1.49219 | + | 0.399830i | −0.910474 | − | 0.413566i | \(-0.864283\pi\) |
−0.581711 | + | 0.813396i | \(0.697617\pi\) | |||||||
\(524\) | −0.938375 | −0.0409931 | ||||||||
\(525\) | 21.1219 | − | 8.88069i | 0.921834 | − | 0.387585i | ||||
\(526\) | 9.74757 | 0.425014 | ||||||||
\(527\) | −27.7958 | + | 7.44787i | −1.21080 | + | 0.324434i | ||||
\(528\) | 3.24699 | + | 5.07305i | 0.141307 | + | 0.220776i | ||||
\(529\) | −9.60905 | + | 5.54779i | −0.417785 | + | 0.241208i | ||||
\(530\) | −12.0147 | + | 5.98947i | −0.521884 | + | 0.260166i | ||||
\(531\) | −13.0493 | + | 1.19729i | −0.566293 | + | 0.0519581i | ||||
\(532\) | 3.38429 | + | 6.58811i | 0.146728 | + | 0.285631i | ||||
\(533\) | 2.82379 | − | 2.82379i | 0.122312 | − | 0.122312i | ||||
\(534\) | 3.77409 | + | 11.8822i | 0.163321 | + | 0.514194i | ||||
\(535\) | 23.0326 | − | 20.3753i | 0.995788 | − | 0.880902i | ||||
\(536\) | −12.2023 | + | 7.04502i | −0.527060 | + | 0.304298i | ||||
\(537\) | −35.8303 | − | 18.5559i | −1.54619 | − | 0.800747i | ||||
\(538\) | 14.5521 | + | 14.5521i | 0.627384 | + | 0.627384i | ||||
\(539\) | −2.38435 | + | 24.2254i | −0.102701 | + | 1.04346i | ||||
\(540\) | −10.4749 | − | 5.02764i | −0.450766 | − | 0.216355i | ||||
\(541\) | 17.0132 | − | 29.4677i | 0.731454 | − | 1.26692i | −0.224807 | − | 0.974403i | \(-0.572175\pi\) |
0.956262 | − | 0.292513i | \(-0.0944914\pi\) | |||||||
\(542\) | −5.97347 | + | 22.2933i | −0.256583 | + | 0.957579i | ||||
\(543\) | −1.14629 | + | 0.733677i | −0.0491918 | + | 0.0314851i | ||||
\(544\) | 2.80503 | + | 1.61948i | 0.120265 | + | 0.0694348i | ||||
\(545\) | −2.36749 | + | 3.57646i | −0.101412 | + | 0.153199i | ||||
\(546\) | 1.14182 | + | 1.99288i | 0.0488654 | + | 0.0852874i | ||||
\(547\) | 16.7941 | − | 16.7941i | 0.718062 | − | 0.718062i | −0.250146 | − | 0.968208i | \(-0.580479\pi\) |
0.968208 | + | 0.250146i | \(0.0804787\pi\) | |||||||
\(548\) | −4.69276 | − | 17.5136i | −0.200465 | − | 0.748144i | ||||
\(549\) | −13.1350 | − | 18.5909i | −0.560587 | − | 0.793439i | ||||
\(550\) | 2.41798 | + | 17.2185i | 0.103103 | + | 0.734199i | ||||
\(551\) | 4.79598 | + | 2.76896i | 0.204316 | + | 0.117962i | ||||
\(552\) | −10.1031 | + | 0.462515i | −0.430017 | + | 0.0196860i | ||||
\(553\) | −1.12143 | + | 22.8427i | −0.0476879 | + | 0.971372i | ||||
\(554\) | 7.33877 | 0.311795 | ||||||||
\(555\) | 31.2311 | + | 8.88578i | 1.32568 | + | 0.377181i | ||||
\(556\) | 7.21999 | + | 12.5054i | 0.306196 | + | 0.530347i | ||||
\(557\) | 4.54543 | − | 16.9638i | 0.192596 | − | 0.718778i | −0.800280 | − | 0.599626i | \(-0.795316\pi\) |
0.992876 | − | 0.119152i | \(-0.0380174\pi\) | |||||||
\(558\) | 25.0071 | − | 9.22177i | 1.05863 | − | 0.390389i | ||||
\(559\) | 4.27818i | 0.180948i | ||||||||
\(560\) | 5.41770 | − | 2.37666i | 0.228940 | − | 0.100432i | ||||
\(561\) | 14.4113 | + | 13.1496i | 0.608446 | + | 0.555176i | ||||
\(562\) | 1.84337 | + | 6.87955i | 0.0777578 | + | 0.290196i | ||||
\(563\) | −18.5191 | − | 4.96217i | −0.780486 | − | 0.209130i | −0.153487 | − | 0.988151i | \(-0.549050\pi\) |
−0.626999 | + | 0.779020i | \(0.715717\pi\) | |||||||
\(564\) | 0.886442 | − | 4.03887i | 0.0373259 | − | 0.170067i | ||||
\(565\) | −5.11908 | + | 15.2965i | −0.215361 | + | 0.643530i | ||||
\(566\) | 12.4310i | 0.522515i | ||||||||
\(567\) | −9.04552 | + | 22.0268i | −0.379876 | + | 0.925037i | ||||
\(568\) | 2.80257 | + | 2.80257i | 0.117593 | + | 0.117593i | ||||
\(569\) | 16.9400 | − | 29.3410i | 0.710164 | − | 1.23004i | −0.254632 | − | 0.967038i | \(-0.581954\pi\) |
0.964795 | − | 0.263002i | \(-0.0847124\pi\) | |||||||
\(570\) | 7.78358 | − | 7.54756i | 0.326018 | − | 0.316133i | ||||
\(571\) | 1.99106 | + | 3.44862i | 0.0833234 | + | 0.144320i | 0.904676 | − | 0.426101i | \(-0.140113\pi\) |
−0.821352 | + | 0.570421i | \(0.806780\pi\) | |||||||
\(572\) | −1.68354 | + | 0.451104i | −0.0703925 | + | 0.0188616i | ||||
\(573\) | −17.8790 | + | 0.818493i | −0.746907 | + | 0.0341930i | ||||
\(574\) | −15.6191 | + | 14.1573i | −0.651930 | + | 0.590915i | ||||
\(575\) | −27.0686 | − | 10.9399i | −1.12884 | − | 0.456224i | ||||
\(576\) | −2.72426 | − | 1.25635i | −0.113511 | − | 0.0523478i | ||||
\(577\) | 4.71693 | + | 1.26390i | 0.196369 | + | 0.0526168i | 0.355663 | − | 0.934614i | \(-0.384255\pi\) |
−0.159294 | + | 0.987231i | \(0.550922\pi\) | |||||||
\(578\) | −6.28728 | − | 1.68467i | −0.261516 | − | 0.0700731i | ||||
\(579\) | −6.44460 | − | 20.2900i | −0.267828 | − | 0.843223i | ||||
\(580\) | 2.44170 | − | 3.68856i | 0.101386 | − | 0.153159i | ||||
\(581\) | −37.3655 | − | 12.0044i | −1.55018 | − | 0.498025i | ||||
\(582\) | −1.30505 | − | 28.5074i | −0.0540962 | − | 1.18167i | ||||
\(583\) | −20.1666 | + | 5.40363i | −0.835216 | + | 0.223795i | ||||
\(584\) | −1.90879 | − | 3.30612i | −0.0789862 | − | 0.136808i | ||||
\(585\) | 2.30417 | − | 2.44848i | 0.0952658 | − | 0.101232i | ||||
\(586\) | −2.83634 | + | 4.91268i | −0.117168 | + | 0.202941i | ||||
\(587\) | −11.5042 | − | 11.5042i | −0.474828 | − | 0.474828i | 0.428645 | − | 0.903473i | \(-0.358991\pi\) |
−0.903473 | + | 0.428645i | \(0.858991\pi\) | |||||||
\(588\) | −5.50434 | − | 10.8029i | −0.226995 | − | 0.445503i | ||||
\(589\) | 24.8711i | 1.02479i | ||||||||
\(590\) | −9.26235 | − | 3.09970i | −0.381325 | − | 0.127613i | ||||
\(591\) | −21.0152 | − | 4.61236i | −0.864450 | − | 0.189727i | ||||
\(592\) | 8.09819 | + | 2.16990i | 0.332833 | + | 0.0891824i | ||||
\(593\) | 4.21822 | + | 15.7426i | 0.173221 | + | 0.646471i | 0.996848 | + | 0.0793383i | \(0.0252807\pi\) |
−0.823626 | + | 0.567133i | \(0.808053\pi\) | |||||||
\(594\) | −14.4050 | − | 10.9089i | −0.591045 | − | 0.447597i | ||||
\(595\) | 14.9575 | − | 11.9773i | 0.613197 | − | 0.491022i | ||||
\(596\) | − | 9.10124i | − | 0.372801i | ||||||
\(597\) | 12.8970 | − | 24.9034i | 0.527840 | − | 1.01923i | ||||
\(598\) | 0.757461 | − | 2.82688i | 0.0309749 | − | 0.115600i | ||||
\(599\) | −8.39829 | − | 14.5463i | −0.343145 | − | 0.594344i | 0.641870 | − | 0.766813i | \(-0.278159\pi\) |
−0.985015 | + | 0.172469i | \(0.944825\pi\) | |||||||
\(600\) | −5.63758 | − | 6.57402i | −0.230153 | − | 0.268383i | ||||
\(601\) | 10.7142 | 0.437041 | 0.218520 | − | 0.975832i | \(-0.429877\pi\) | ||||
0.218520 | + | 0.975832i | \(0.429877\pi\) | |||||||
\(602\) | 1.10737 | − | 22.5564i | 0.0451330 | − | 0.919331i | ||||
\(603\) | 27.0335 | − | 32.4954i | 1.10089 | − | 1.32331i | ||||
\(604\) | 17.3431 | + | 10.0131i | 0.705682 | + | 0.407426i | ||||
\(605\) | −0.149326 | + | 2.43927i | −0.00607096 | + | 0.0991705i | ||||
\(606\) | −1.17852 | + | 5.36964i | −0.0478739 | + | 0.218127i | ||||
\(607\) | −7.07936 | − | 26.4205i | −0.287342 | − | 1.07238i | −0.947111 | − | 0.320907i | \(-0.896012\pi\) |
0.659768 | − | 0.751469i | \(-0.270654\pi\) | |||||||
\(608\) | 1.97948 | − | 1.97948i | 0.0802784 | − | 0.0802784i | ||||
\(609\) | −7.83591 | − | 4.55867i | −0.317527 | − | 0.184727i | ||||
\(610\) | −3.38166 | − | 16.6260i | −0.136919 | − | 0.673168i | ||||
\(611\) | 1.03624 | + | 0.598274i | 0.0419219 | + | 0.0242036i | ||||
\(612\) | −9.57634 | − | 1.64684i | −0.387101 | − | 0.0665697i | ||||
\(613\) | −1.20955 | + | 4.51412i | −0.0488534 | + | 0.182323i | −0.986041 | − | 0.166502i | \(-0.946753\pi\) |
0.937188 | + | 0.348826i | \(0.113419\pi\) | |||||||
\(614\) | −12.3791 | + | 21.4412i | −0.499579 | + | 0.865297i | ||||
\(615\) | 26.4837 | + | 15.8389i | 1.06793 | + | 0.638685i | ||||
\(616\) | 8.99314 | − | 1.94265i | 0.362344 | − | 0.0782715i | ||||
\(617\) | 5.85206 | + | 5.85206i | 0.235595 | + | 0.235595i | 0.815023 | − | 0.579428i | \(-0.196724\pi\) |
−0.579428 | + | 0.815023i | \(0.696724\pi\) | |||||||
\(618\) | 3.97881 | − | 7.68283i | 0.160051 | − | 0.309049i | ||||
\(619\) | −0.702396 | + | 0.405529i | −0.0282317 | + | 0.0162996i | −0.514049 | − | 0.857761i | \(-0.671855\pi\) |
0.485818 | + | 0.874060i | \(0.338522\pi\) | |||||||
\(620\) | 19.8290 | + | 1.21388i | 0.796353 | + | 0.0487507i | ||||
\(621\) | 27.9573 | − | 11.7886i | 1.12189 | − | 0.473060i | ||||
\(622\) | −3.53121 | + | 3.53121i | −0.141588 | + | 0.141588i | ||||
\(623\) | 19.0210 | + | 0.933805i | 0.762062 | + | 0.0374121i | ||||
\(624\) | 0.585133 | − | 0.641278i | 0.0234241 | − | 0.0256717i | ||||
\(625\) | −6.88569 | − | 24.0330i | −0.275428 | − | 0.961322i | ||||
\(626\) | 9.84947 | − | 5.68659i | 0.393664 | − | 0.227282i | ||||
\(627\) | 14.2015 | − | 9.08963i | 0.567154 | − | 0.363005i | ||||
\(628\) | −4.57610 | + | 1.22616i | −0.182606 | + | 0.0489292i | ||||
\(629\) | 27.1551 | 1.08274 | ||||||||
\(630\) | −12.7824 | + | 12.3130i | −0.509262 | + | 0.490563i | ||||
\(631\) | 26.9516 | 1.07293 | 0.536463 | − | 0.843924i | \(-0.319760\pi\) | ||||
0.536463 | + | 0.843924i | \(0.319760\pi\) | |||||||
\(632\) | 8.34960 | − | 2.23727i | 0.332129 | − | 0.0889938i | ||||
\(633\) | 15.8704 | − | 10.1578i | 0.630791 | − | 0.403736i | ||||
\(634\) | 23.2824 | − | 13.4421i | 0.924661 | − | 0.533853i | ||||
\(635\) | 5.67115 | − | 16.9462i | 0.225053 | − | 0.672490i | ||||
\(636\) | 7.00912 | − | 7.68165i | 0.277930 | − | 0.304597i | ||||
\(637\) | 3.46153 | − | 0.571739i | 0.137151 | − | 0.0226531i | ||||
\(638\) | 4.86443 | − | 4.86443i | 0.192585 | − | 0.192585i | ||||
\(639\) | −10.7974 | − | 4.97945i | −0.427140 | − | 0.196984i | ||||
\(640\) | −1.48157 | − | 1.67480i | −0.0585643 | − | 0.0662022i | ||||
\(641\) | 36.5634 | − | 21.1099i | 1.44417 | − | 0.833791i | 0.446043 | − | 0.895011i | \(-0.352833\pi\) |
0.998124 | + | 0.0612207i | \(0.0194993\pi\) | |||||||
\(642\) | −10.9542 | + | 21.1518i | −0.432327 | + | 0.834796i | ||||
\(643\) | 0.470316 | + | 0.470316i | 0.0185475 | + | 0.0185475i | 0.716320 | − | 0.697772i | \(-0.245825\pi\) |
−0.697772 | + | 0.716320i | \(0.745825\pi\) | |||||||
\(644\) | −4.72538 | + | 14.7085i | −0.186206 | + | 0.579596i | ||||
\(645\) | −32.0605 | + | 8.06375i | −1.26238 | + | 0.317510i | ||||
\(646\) | 4.53359 | − | 7.85241i | 0.178372 | − | 0.308949i | ||||
\(647\) | 6.18342 | − | 23.0768i | 0.243095 | − | 0.907244i | −0.731236 | − | 0.682125i | \(-0.761056\pi\) |
0.974331 | − | 0.225119i | \(-0.0722772\pi\) | |||||||
\(648\) | 8.97207 | + | 0.708548i | 0.352456 | + | 0.0278344i | ||||
\(649\) | −13.1548 | − | 7.59492i | −0.516371 | − | 0.298127i | ||||
\(650\) | 2.30691 | − | 0.978929i | 0.0904846 | − | 0.0383968i | ||||
\(651\) | 0.134612 | − | 40.7133i | 0.00527587 | − | 1.59568i | ||||
\(652\) | 4.16086 | − | 4.16086i | 0.162952 | − | 0.162952i | ||||
\(653\) | 1.57175 | + | 5.86586i | 0.0615075 | + | 0.229549i | 0.989836 | − | 0.142211i | \(-0.0454211\pi\) |
−0.928329 | + | 0.371760i | \(0.878754\pi\) | |||||||
\(654\) | 0.712216 | − | 3.24505i | 0.0278498 | − | 0.126892i | ||||
\(655\) | 2.09435 | + | 0.128211i | 0.0818330 | + | 0.00500960i | ||||
\(656\) | 6.90021 | + | 3.98384i | 0.269408 | + | 0.155543i | ||||
\(657\) | 8.80435 | + | 7.32451i | 0.343491 | + | 0.285756i | ||||
\(658\) | −5.30866 | − | 3.42259i | −0.206953 | − | 0.133426i | ||||
\(659\) | 6.09039 | 0.237248 | 0.118624 | − | 0.992939i | \(-0.462152\pi\) | ||||
0.118624 | + | 0.992939i | \(0.462152\pi\) | |||||||
\(660\) | −6.55379 | − | 11.7661i | −0.255106 | − | 0.457996i | ||||
\(661\) | 10.6307 | + | 18.4129i | 0.413485 | + | 0.716177i | 0.995268 | − | 0.0971670i | \(-0.0309781\pi\) |
−0.581783 | + | 0.813344i | \(0.697645\pi\) | |||||||
\(662\) | −6.94623 | + | 25.9237i | −0.269973 | + | 1.00755i | ||||
\(663\) | 1.29306 | − | 2.49683i | 0.0502184 | − | 0.0969687i | ||||
\(664\) | 14.8338i | 0.575662i | ||||||||
\(665\) | −6.65323 | − | 15.1663i | −0.258001 | − | 0.588125i | ||||
\(666\) | −25.0464 | + | 2.29804i | −0.970527 | + | 0.0890471i | ||||
\(667\) | 2.98969 | + | 11.1577i | 0.115761 | + | 0.432027i | ||||
\(668\) | −9.26132 | − | 2.48156i | −0.358331 | − | 0.0960146i | ||||
\(669\) | 11.5515 | + | 2.53530i | 0.446608 | + | 0.0980203i | ||||
\(670\) | 28.1968 | − | 14.0565i | 1.08934 | − | 0.543050i | ||||
\(671\) | − | 26.3859i | − | 1.01862i | ||||||
\(672\) | −3.25107 | + | 3.22964i | −0.125413 | + | 0.124586i | ||||
\(673\) | 2.29463 | + | 2.29463i | 0.0884515 | + | 0.0884515i | 0.749948 | − | 0.661497i | \(-0.230078\pi\) |
−0.661497 | + | 0.749948i | \(0.730078\pi\) | |||||||
\(674\) | 7.42564 | − | 12.8616i | 0.286025 | − | 0.495410i | ||||
\(675\) | 22.6918 | + | 12.6523i | 0.873408 | + | 0.486988i | ||||
\(676\) | −6.37440 | − | 11.0408i | −0.245169 | − | 0.424645i | ||||
\(677\) | −30.0603 | + | 8.05463i | −1.15531 | + | 0.309564i | −0.785091 | − | 0.619380i | \(-0.787384\pi\) |
−0.370219 | + | 0.928944i | \(0.620717\pi\) | |||||||
\(678\) | −0.571395 | − | 12.4815i | −0.0219443 | − | 0.479348i | ||||
\(679\) | −41.5021 | − | 13.3333i | −1.59271 | − | 0.511686i | ||||
\(680\) | −6.03925 | − | 3.99776i | −0.231595 | − | 0.153307i | ||||
\(681\) | −6.25344 | − | 19.6881i | −0.239632 | − | 0.754451i | ||||
\(682\) | 29.8427 | + | 7.99633i | 1.14274 | + | 0.306195i | ||||
\(683\) | −22.9706 | − | 6.15496i | −0.878947 | − | 0.235513i | −0.208994 | − | 0.977917i | \(-0.567019\pi\) |
−0.669953 | + | 0.742404i | \(0.733686\pi\) | |||||||
\(684\) | −3.51702 | + | 7.62630i | −0.134477 | + | 0.291599i | ||||
\(685\) | 8.08082 | + | 39.7296i | 0.308752 | + | 1.51799i | ||||
\(686\) | −18.3987 | + | 2.11847i | −0.702466 | + | 0.0808837i | ||||
\(687\) | −23.0302 | + | 1.05431i | −0.878656 | + | 0.0402244i | ||||
\(688\) | −8.24494 | + | 2.20923i | −0.314336 | + | 0.0842259i | ||||
\(689\) | 1.50456 | + | 2.60597i | 0.0573190 | + | 0.0992795i | ||||
\(690\) | 22.6122 | + | 0.348109i | 0.860832 | + | 0.0132523i | ||||
\(691\) | −4.20725 | + | 7.28718i | −0.160051 | + | 0.277217i | −0.934887 | − | 0.354946i | \(-0.884499\pi\) |
0.774835 | + | 0.632163i | \(0.217833\pi\) | |||||||
\(692\) | 9.43080 | + | 9.43080i | 0.358505 | + | 0.358505i | ||||
\(693\) | −23.2967 | + | 14.8026i | −0.884968 | + | 0.562305i | ||||
\(694\) | − | 15.5749i | − | 0.591213i | ||||||
\(695\) | −14.4056 | − | 28.8971i | −0.546436 | − | 1.09613i | ||||
\(696\) | −0.734541 | + | 3.34677i | −0.0278427 | + | 0.126859i | ||||
\(697\) | 24.9277 | + | 6.67936i | 0.944204 | + | 0.252999i | ||||
\(698\) | 6.98286 | + | 26.0604i | 0.264305 | + | 0.986400i | ||||
\(699\) | 0.244271 | + | 0.222885i | 0.00923917 | + | 0.00843027i | ||||
\(700\) | −12.4164 | + | 4.56422i | −0.469297 | + | 0.172511i | ||||
\(701\) | − | 15.9126i | − | 0.601012i | −0.953780 | − | 0.300506i | \(-0.902844\pi\) | ||
0.953780 | − | 0.300506i | \(-0.0971556\pi\) | |||||||
\(702\) | −0.981354 | + | 2.41236i | −0.0370388 | + | 0.0910488i | ||||
\(703\) | 6.07443 | − | 22.6701i | 0.229102 | − | 0.855019i | ||||
\(704\) | −1.73874 | − | 3.01159i | −0.0655314 | − | 0.113504i | ||||
\(705\) | −2.53027 | + | 8.89320i | −0.0952956 | + | 0.334937i | ||||
\(706\) | −23.4194 | −0.881401 | ||||||||
\(707\) | 7.05781 | + | 4.55029i | 0.265436 | + | 0.171131i | ||||
\(708\) | 7.55777 | − | 0.345991i | 0.284038 | − | 0.0130031i | ||||
\(709\) | 15.6443 | + | 9.03223i | 0.587533 | + | 0.339213i | 0.764122 | − | 0.645072i | \(-0.223173\pi\) |
−0.176588 | + | 0.984285i | \(0.556506\pi\) | |||||||
\(710\) | −5.87212 | − | 6.63795i | −0.220377 | − | 0.249118i | ||||
\(711\) | −21.1795 | + | 14.9639i | −0.794294 | + | 0.561191i | ||||
\(712\) | −1.86296 | − | 6.95267i | −0.0698175 | − | 0.260562i | ||||
\(713\) | −36.6828 | + | 36.6828i | −1.37378 | + | 1.37378i | ||||
\(714\) | −7.46387 | + | 12.8297i | −0.279328 | + | 0.480138i | ||||
\(715\) | 3.81912 | − | 0.776791i | 0.142827 | − | 0.0290503i | ||||
\(716\) | 20.1751 | + | 11.6481i | 0.753978 | + | 0.435309i | ||||
\(717\) | −10.7582 | + | 6.88575i | −0.401772 | + | 0.257153i | ||||
\(718\) | 4.92610 | − | 18.3844i | 0.183840 | − | 0.686101i | ||||
\(719\) | 5.34310 | − | 9.25452i | 0.199264 | − | 0.345135i | −0.749026 | − | 0.662541i | \(-0.769478\pi\) |
0.948290 | + | 0.317405i | \(0.102812\pi\) | |||||||
\(720\) | 5.90859 | + | 3.17624i | 0.220200 | + | 0.118372i | ||||
\(721\) | −8.87573 | − | 9.79220i | −0.330550 | − | 0.364681i | ||||
\(722\) | 7.89367 | + | 7.89367i | 0.293772 | + | 0.293772i | ||||
\(723\) | 22.3733 | + | 11.5867i | 0.832070 | + | 0.430915i | ||||
\(724\) | 0.680488 | − | 0.392880i | 0.0252901 | − | 0.0146013i | ||||
\(725\) | −5.95357 | + | 7.89886i | −0.221110 | + | 0.293356i | ||||
\(726\) | −0.573049 | − | 1.80417i | −0.0212678 | − | 0.0669589i | ||||
\(727\) | −24.1736 | + | 24.1736i | −0.896550 | + | 0.896550i | −0.995129 | − | 0.0985796i | \(-0.968570\pi\) |
0.0985796 | + | 0.995129i | \(0.468570\pi\) | |||||||
\(728\) | −0.605923 | − | 1.17953i | −0.0224570 | − | 0.0437164i | ||||
\(729\) | −25.9893 | + | 7.31839i | −0.962565 | + | 0.271052i | ||||
\(730\) | 3.80849 | + | 7.63969i | 0.140959 | + | 0.282758i | ||||
\(731\) | −23.9432 | + | 13.8236i | −0.885570 | + | 0.511284i | ||||
\(732\) | 7.08469 | + | 11.0690i | 0.261858 | + | 0.409123i | ||||
\(733\) | 8.33762 | − | 2.23406i | 0.307957 | − | 0.0825168i | −0.101531 | − | 0.994832i | \(-0.532374\pi\) |
0.409488 | + | 0.912316i | \(0.365707\pi\) | |||||||
\(734\) | 8.95696 | 0.330607 | ||||||||
\(735\) | 10.8091 | + | 24.8629i | 0.398699 | + | 0.917082i | ||||
\(736\) | 5.83914 | 0.215234 | ||||||||
\(737\) | 47.3283 | − | 12.6816i | 1.74336 | − | 0.467132i | ||||
\(738\) | −23.5572 | − | 4.05114i | −0.867154 | − | 0.149124i | ||||
\(739\) | −8.19770 | + | 4.73295i | −0.301557 | + | 0.174104i | −0.643142 | − | 0.765747i | \(-0.722370\pi\) |
0.341585 | + | 0.939851i | \(0.389036\pi\) | |||||||
\(740\) | −17.7778 | − | 5.94944i | −0.653524 | − | 0.218706i | ||||
\(741\) | −1.79519 | − | 1.63802i | −0.0659481 | − | 0.0601743i | ||||
\(742\) | −7.25815 | − | 14.1292i | −0.266455 | − | 0.518701i | ||||
\(743\) | −14.3909 | + | 14.3909i | −0.527951 | + | 0.527951i | −0.919961 | − | 0.392010i | \(-0.871780\pi\) |
0.392010 | + | 0.919961i | \(0.371780\pi\) | |||||||
\(744\) | −14.6662 | + | 4.65836i | −0.537690 | + | 0.170784i | ||||
\(745\) | −1.24351 | + | 20.3130i | −0.0455585 | + | 0.744209i | ||||
\(746\) | 8.37228 | − | 4.83374i | 0.306531 | − | 0.176976i | ||||
\(747\) | −15.3971 | − | 41.7529i | −0.563349 | − | 1.52766i | ||||
\(748\) | −7.96448 | − | 7.96448i | −0.291210 | − | 0.291210i | ||||
\(749\) | 24.4360 | + | 26.9592i | 0.892874 | + | 0.985068i | ||||
\(750\) | 11.6842 | + | 15.4427i | 0.426648 | + | 0.563889i | ||||
\(751\) | −6.73442 | + | 11.6644i | −0.245742 | + | 0.425638i | −0.962340 | − | 0.271848i | \(-0.912365\pi\) |
0.716598 | + | 0.697487i | \(0.245698\pi\) | |||||||
\(752\) | −0.617891 | + | 2.30600i | −0.0225322 | + | 0.0840912i | ||||
\(753\) | 2.61381 | + | 4.08379i | 0.0952527 | + | 0.148821i | ||||
\(754\) | −0.858671 | − | 0.495754i | −0.0312710 | − | 0.0180543i | ||||
\(755\) | −37.3399 | − | 24.7177i | −1.35894 | − | 0.899568i | ||||
\(756\) | 5.79855 | − | 12.4650i | 0.210891 | − | 0.453349i | ||||
\(757\) | 18.0263 | − | 18.0263i | 0.655177 | − | 0.655177i | −0.299058 | − | 0.954235i | \(-0.596672\pi\) |
0.954235 | + | 0.299058i | \(0.0966724\pi\) | |||||||
\(758\) | −2.49415 | − | 9.30828i | −0.0905914 | − | 0.338092i | ||||
\(759\) | 34.3526 | + | 7.53961i | 1.24692 | + | 0.273671i | ||||
\(760\) | −4.68843 | + | 4.14752i | −0.170067 | + | 0.150446i | ||||
\(761\) | −10.1461 | − | 5.85784i | −0.367795 | − | 0.212347i | 0.304700 | − | 0.952448i | \(-0.401444\pi\) |
−0.672495 | + | 0.740102i | \(0.734777\pi\) | |||||||
\(762\) | 0.633018 | + | 13.8275i | 0.0229318 | + | 0.500919i | ||||
\(763\) | −4.26527 | − | 2.74989i | −0.154413 | − | 0.0995528i | ||||
\(764\) | 10.3333 | 0.373845 | ||||||||
\(765\) | 21.1483 | + | 4.98399i | 0.764619 | + | 0.180197i | ||||
\(766\) | 9.79904 | + | 16.9724i | 0.354054 | + | 0.613239i | ||||
\(767\) | −0.566629 | + | 2.11469i | −0.0204598 | + | 0.0763570i | ||||
\(768\) | 1.53804 | + | 0.796522i | 0.0554991 | + | 0.0287420i | ||||
\(769\) | 22.2703i | 0.803088i | 0.915840 | + | 0.401544i | \(0.131526\pi\) | ||||
−0.915840 | + | 0.401544i | \(0.868474\pi\) | |||||||
\(770\) | −20.3371 | + | 3.10704i | −0.732899 | + | 0.111970i | ||||
\(771\) | −32.2727 | + | 35.3693i | −1.16227 | + | 1.27379i | ||||
\(772\) | 3.18118 | + | 11.8723i | 0.114493 | + | 0.427294i | ||||
\(773\) | −19.3977 | − | 5.19759i | −0.697686 | − | 0.186944i | −0.107492 | − | 0.994206i | \(-0.534282\pi\) |
−0.590194 | + | 0.807261i | \(0.700949\pi\) | |||||||
\(774\) | 20.9140 | − | 14.7764i | 0.751740 | − | 0.531125i | ||||
\(775\) | −44.0904 | − | 5.41850i | −1.58377 | − | 0.194638i | ||||
\(776\) | 16.4760i | 0.591453i | ||||||||
\(777\) | −10.0664 | + | 37.0775i | −0.361130 | + | 1.33015i | ||||
\(778\) | 7.47497 | + | 7.47497i | 0.267991 | + | 0.267991i | ||||
\(779\) | 11.1524 | − | 19.3165i | 0.399575 | − | 0.692084i | ||||
\(780\) | −1.39357 | + | 1.35131i | −0.0498978 | + | 0.0483848i | ||||
\(781\) | −6.89140 | − | 11.9363i | −0.246594 | − | 0.427113i | ||||
\(782\) | 18.2684 | − | 4.89499i | 0.653275 | − | 0.175045i | ||||
\(783\) | −1.40633 | − | 10.1826i | −0.0502582 | − | 0.363898i | ||||
\(784\) | 2.88938 | + | 6.37585i | 0.103192 | + | 0.227709i | ||||
\(785\) | 10.3809 | − | 2.11142i | 0.370509 | − | 0.0753599i | ||||
\(786\) | −1.54905 | + | 0.492017i | −0.0552528 | + | 0.0175497i | ||||
\(787\) | 16.5702 | + | 4.43996i | 0.590663 | + | 0.158268i | 0.541756 | − | 0.840536i | \(-0.317760\pi\) |
0.0489067 | + | 0.998803i | \(0.484426\pi\) | |||||||
\(788\) | 11.9987 | + | 3.21503i | 0.427435 | + | 0.114531i | ||||
\(789\) | 16.0911 | − | 5.11094i | 0.572859 | − | 0.181954i | ||||
\(790\) | −18.9411 | + | 3.85253i | −0.673893 | + | 0.137067i | ||||
\(791\) | −18.1710 | − | 5.83777i | −0.646086 | − | 0.207567i | ||||
\(792\) | 8.02001 | + | 6.67200i | 0.284979 | + | 0.237079i | ||||
\(793\) | −3.67337 | + | 0.984276i | −0.130445 | + | 0.0349527i | ||||
\(794\) | −7.83515 | − | 13.5709i | −0.278059 | − | 0.481612i | ||||
\(795\) | −16.6931 | + | 16.1869i | −0.592044 | + | 0.574092i | ||||
\(796\) | −8.09584 | + | 14.0224i | −0.286949 | + | 0.497011i | ||||
\(797\) | 26.9706 | + | 26.9706i | 0.955347 | + | 0.955347i | 0.999045 | − | 0.0436979i | \(-0.0139139\pi\) |
−0.0436979 | + | 0.999045i | \(0.513914\pi\) | |||||||
\(798\) | 9.04106 | + | 9.10105i | 0.320050 | + | 0.322174i | ||||
\(799\) | 7.73254i | 0.273558i | ||||||||
\(800\) | 3.07788 | + | 3.94039i | 0.108819 | + | 0.139314i | ||||
\(801\) | 12.4604 | + | 17.6361i | 0.440266 | + | 0.623140i | ||||
\(802\) | −25.0551 | − | 6.71350i | −0.884728 | − | 0.237062i | ||||
\(803\) | 3.43597 | + | 12.8232i | 0.121253 | + | 0.452522i | ||||
\(804\) | −16.4495 | + | 18.0278i | −0.580128 | + | 0.635792i | ||||
\(805\) | 12.5562 | − | 32.1821i | 0.442546 | − | 1.13427i | ||||
\(806\) | − | 4.45291i | − | 0.156847i | ||||||
\(807\) | 31.6523 | + | 16.3922i | 1.11421 | + | 0.577032i | ||||
\(808\) | 0.821480 | − | 3.06580i | 0.0288996 | − | 0.107855i | ||||
\(809\) | −4.15287 | − | 7.19297i | −0.146007 | − | 0.252891i | 0.783741 | − | 0.621088i | \(-0.213309\pi\) |
−0.929748 | + | 0.368196i | \(0.879976\pi\) | |||||||
\(810\) | −19.9279 | − | 2.80726i | −0.700193 | − | 0.0986370i | ||||
\(811\) | −17.0386 | −0.598306 | −0.299153 | − | 0.954205i | \(-0.596704\pi\) | ||||
−0.299153 | + | 0.954205i | \(0.596704\pi\) | |||||||
\(812\) | 4.39897 | + | 2.83609i | 0.154373 | + | 0.0995273i | ||||
\(813\) | 1.82813 | + | 39.9334i | 0.0641154 | + | 1.40053i | ||||
\(814\) | −25.2488 | − | 14.5774i | −0.884969 | − | 0.510937i | ||||
\(815\) | −9.85508 | + | 8.71808i | −0.345208 | + | 0.305381i | ||||
\(816\) | 5.47963 | + | 1.20266i | 0.191826 | + | 0.0421014i | ||||
\(817\) | 6.18451 | + | 23.0809i | 0.216369 | + | 0.807499i | ||||
\(818\) | −4.26617 | + | 4.26617i | −0.149163 | + | 0.149163i | ||||
\(819\) | 2.92982 | + | 2.69112i | 0.102376 | + | 0.0940353i | ||||
\(820\) | −14.8562 | − | 9.83427i | −0.518801 | − | 0.343428i | ||||
\(821\) | −9.60555 | − | 5.54577i | −0.335236 | − | 0.193549i | 0.322927 | − | 0.946424i | \(-0.395333\pi\) |
−0.658163 | + | 0.752875i | \(0.728666\pi\) | |||||||
\(822\) | −16.9296 | − | 26.4506i | −0.590488 | − | 0.922570i | ||||
\(823\) | 10.1745 | − | 37.9719i | 0.354662 | − | 1.32362i | −0.526247 | − | 0.850332i | \(-0.676401\pi\) |
0.880909 | − | 0.473285i | \(-0.156932\pi\) | |||||||
\(824\) | −2.49761 | + | 4.32599i | −0.0870084 | + | 0.150703i | ||||
\(825\) | 13.0197 | + | 27.1561i | 0.453288 | + | 0.945455i | ||||
\(826\) | 3.53488 | − | 11.0029i | 0.122994 | − | 0.382840i | ||||
\(827\) | −12.4819 | − | 12.4819i | −0.434037 | − | 0.434037i | 0.455962 | − | 0.889999i | \(-0.349295\pi\) |
−0.889999 | + | 0.455962i | \(0.849295\pi\) | |||||||
\(828\) | −16.4355 | + | 6.06087i | −0.571174 | + | 0.210630i | ||||
\(829\) | −9.94204 | + | 5.74004i | −0.345301 | + | 0.199360i | −0.662614 | − | 0.748961i | \(-0.730553\pi\) |
0.317313 | + | 0.948321i | \(0.397220\pi\) | |||||||
\(830\) | 2.02675 | − | 33.1074i | 0.0703494 | − | 1.14917i | ||||
\(831\) | 12.1147 | − | 3.84793i | 0.420255 | − | 0.133483i | ||||
\(832\) | −0.354405 | + | 0.354405i | −0.0122868 | + | 0.0122868i | ||||
\(833\) | 14.3846 | + | 17.5253i | 0.498398 | + | 0.607217i | ||||
\(834\) | 18.4756 | + | 16.8580i | 0.639756 | + | 0.583745i | ||||
\(835\) | 20.3312 | + | 6.80396i | 0.703590 | + | 0.235461i | ||||
\(836\) | −8.43066 | + | 4.86744i | −0.291581 | + | 0.168344i | ||||
\(837\) | 36.4460 | − | 28.3351i | 1.25976 | − | 0.979404i | ||||
\(838\) | −3.31045 | + | 0.887033i | −0.114358 | + | 0.0306421i | ||||
\(839\) | 44.5591 | 1.53835 | 0.769176 | − | 0.639037i | \(-0.220667\pi\) | ||||
0.769176 | + | 0.639037i | \(0.220667\pi\) | |||||||
\(840\) | 7.69729 | − | 6.76400i | 0.265582 | − | 0.233380i | ||||
\(841\) | −25.0865 | −0.865053 | ||||||||
\(842\) | 11.8066 | − | 3.16357i | 0.406883 | − | 0.109024i | ||||
\(843\) | 6.65015 | + | 10.3901i | 0.229043 | + | 0.357854i | ||||
\(844\) | −9.42139 | + | 5.43944i | −0.324297 | + | 0.187233i | ||||
\(845\) | 12.7184 | + | 25.5127i | 0.437528 | + | 0.877665i | ||||
\(846\) | −0.654378 | − | 7.13208i | −0.0224980 | − | 0.245206i | ||||
\(847\) | −2.88811 | − | 0.141787i | −0.0992366 | − | 0.00487185i | ||||
\(848\) | −4.24530 | + | 4.24530i | −0.145784 | + | 0.145784i | ||||
\(849\) | 6.51795 | + | 20.5209i | 0.223695 | + | 0.704275i | ||||
\(850\) | 12.9327 | + | 9.74772i | 0.443589 | + | 0.334344i | ||||
\(851\) | 42.3959 | − | 24.4773i | 1.45331 | − | 0.839070i | ||||
\(852\) | 6.09591 | + | 3.15697i | 0.208842 | + | 0.108156i | ||||
\(853\) | −7.83980 | − | 7.83980i | −0.268430 | − | 0.268430i | 0.560037 | − | 0.828467i | \(-0.310787\pi\) |
−0.828467 | + | 0.560037i | \(0.810787\pi\) | |||||||
\(854\) | 19.6224 | − | 4.23872i | 0.671464 | − | 0.145046i | ||||
\(855\) | 8.89159 | − | 16.5405i | 0.304086 | − | 0.565674i | ||||
\(856\) | 6.87625 | − | 11.9100i | 0.235025 | − | 0.407076i | ||||
\(857\) | −6.67783 | + | 24.9220i | −0.228110 | + | 0.851319i | 0.753024 | + | 0.657993i | \(0.228594\pi\) |
−0.981134 | + | 0.193327i | \(0.938072\pi\) | |||||||
\(858\) | −2.54263 | + | 1.62741i | −0.0868041 | + | 0.0555587i | ||||
\(859\) | 26.5807 | + | 15.3464i | 0.906923 | + | 0.523612i | 0.879440 | − | 0.476010i | \(-0.157917\pi\) |
0.0274833 | + | 0.999622i | \(0.491251\pi\) | |||||||
\(860\) | 18.7037 | − | 3.80424i | 0.637789 | − | 0.129723i | ||||
\(861\) | −18.3607 | + | 31.5602i | −0.625731 | + | 1.07557i | ||||
\(862\) | −4.19371 | + | 4.19371i | −0.142838 | + | 0.142838i | ||||
\(863\) | 4.61920 | + | 17.2391i | 0.157240 | + | 0.586826i | 0.998903 | + | 0.0468238i | \(0.0149099\pi\) |
−0.841664 | + | 0.540002i | \(0.818423\pi\) | |||||||
\(864\) | −5.15590 | − | 0.645543i | −0.175407 | − | 0.0219618i | ||||
\(865\) | −19.7600 | − | 22.3370i | −0.671859 | − | 0.759482i | ||||
\(866\) | −7.61601 | − | 4.39710i | −0.258802 | − | 0.149420i | ||||
\(867\) | −11.2623 | + | 0.515580i | −0.382486 | + | 0.0175100i | ||||
\(868\) | −1.15260 | + | 23.4777i | −0.0391217 | + | 0.796884i | ||||
\(869\) | −30.0599 | −1.01971 | ||||||||
\(870\) | 2.09668 | − | 7.36926i | 0.0710843 | − | 0.249841i | ||||
\(871\) | −3.53099 | − | 6.11586i | −0.119643 | − | 0.207228i | ||||
\(872\) | −0.496447 | + | 1.85277i | −0.0168118 | + | 0.0627426i | ||||
\(873\) | −17.1016 | − | 46.3752i | −0.578802 | − | 1.56956i | ||||
\(874\) | − | 16.3461i | − | 0.552916i | ||||||
\(875\) | 28.3357 | − | 8.49037i | 0.957923 | − | 0.287027i | ||||
\(876\) | −4.88449 | − | 4.45685i | −0.165032 | − | 0.150583i | ||||
\(877\) | −0.581994 | − | 2.17203i | −0.0196525 | − | 0.0733443i | 0.955403 | − | 0.295305i | \(-0.0954211\pi\) |
−0.975056 | + | 0.221960i | \(0.928754\pi\) | |||||||
\(878\) | 2.67306 | + | 0.716244i | 0.0902113 | + | 0.0241720i | ||||
\(879\) | −2.10631 | + | 9.59693i | −0.0710441 | + | 0.323696i | ||||
\(880\) | 3.46921 | + | 6.95911i | 0.116947 | + | 0.234591i | ||||
\(881\) | 38.0258i | 1.28112i | 0.767908 | + | 0.640560i | \(0.221298\pi\) | ||||
−0.767908 | + | 0.640560i | \(0.778702\pi\) | |||||||
\(882\) | −14.7507 | − | 14.9471i | −0.496683 | − | 0.503295i | ||||
\(883\) | −37.1733 | − | 37.1733i | −1.25098 | − | 1.25098i | −0.955281 | − | 0.295701i | \(-0.904447\pi\) |
−0.295701 | − | 0.955281i | \(-0.595553\pi\) | |||||||
\(884\) | −0.811693 | + | 1.40589i | −0.0273002 | + | 0.0472853i | ||||
\(885\) | −16.9154 | − | 0.260408i | −0.568604 | − | 0.00875351i | ||||
\(886\) | −12.1035 | − | 20.9639i | −0.406626 | − | 0.704296i | ||||
\(887\) | −18.9826 | + | 5.08637i | −0.637373 | + | 0.170783i | −0.563013 | − | 0.826448i | \(-0.690358\pi\) |
−0.0743596 | + | 0.997231i | \(0.523691\pi\) | |||||||
\(888\) | 14.5061 | − | 0.664081i | 0.486792 | − | 0.0222851i | ||||
\(889\) | 20.1307 | + | 6.46735i | 0.675161 | + | 0.216908i | ||||
\(890\) | 3.20798 | + | 15.7721i | 0.107532 | + | 0.528683i | ||||
\(891\) | −29.4994 | − | 10.4552i | −0.988267 | − | 0.350263i | ||||
\(892\) | −6.59536 | − | 1.76722i | −0.220829 | − | 0.0591709i | ||||
\(893\) | 6.45542 | + | 1.72973i | 0.216023 | + | 0.0578831i | ||||
\(894\) | −4.77204 | − | 15.0242i | −0.159601 | − | 0.502483i | ||||
\(895\) | −43.4371 | − | 28.7538i | −1.45194 | − | 0.961133i | ||||
\(896\) | 1.96031 | − | 1.77684i | 0.0654895 | − | 0.0593602i | ||||
\(897\) | −0.231815 | − | 5.06372i | −0.00774007 | − | 0.169073i | ||||
\(898\) | 5.93580 | − | 1.59049i | 0.198080 | − | 0.0530754i | ||||
\(899\) | 8.78780 | + | 15.2209i | 0.293089 | + | 0.507646i | ||||
\(900\) | −12.7534 | − | 7.89632i | −0.425112 | − | 0.263211i | ||||
\(901\) | −9.72301 | + | 16.8407i | −0.323920 | + | 0.561046i | ||||
\(902\) | −19.5922 | − | 19.5922i | −0.652348 | − | 0.652348i | ||||
\(903\) | −9.99897 | − | 37.8163i | −0.332745 | − | 1.25845i | ||||
\(904\) | 7.21372i | 0.239925i | ||||||||
\(905\) | −1.57245 | + | 0.783889i | −0.0522701 | + | 0.0260573i | ||||
\(906\) | 33.8799 | + | 7.43587i | 1.12558 | + | 0.247040i | ||||
\(907\) | −11.6626 | − | 3.12499i | −0.387251 | − | 0.103764i | 0.0599403 | − | 0.998202i | \(-0.480909\pi\) |
−0.447191 | + | 0.894438i | \(0.647576\pi\) | |||||||
\(908\) | 3.08682 | + | 11.5202i | 0.102440 | + | 0.382310i | ||||
\(909\) | 0.869989 | + | 9.48203i | 0.0288557 | + | 0.314499i | ||||
\(910\) | 1.19119 | + | 2.71538i | 0.0394876 | + | 0.0900139i | ||||
\(911\) | 29.5439i | 0.978834i | 0.872050 | + | 0.489417i | \(0.162790\pi\) | ||||
−0.872050 | + | 0.489417i | \(0.837210\pi\) | |||||||
\(912\) | 2.22979 | − | 4.30558i | 0.0738356 | − | 0.142572i | ||||
\(913\) | 13.3510 | − | 49.8266i | 0.441853 | − | 1.64902i | ||||
\(914\) | −5.47652 | − | 9.48561i | −0.181147 | − | 0.313756i | ||||
\(915\) | −14.2999 | − | 25.6728i | −0.472740 | − | 0.848718i | ||||
\(916\) | 13.3104 | 0.439788 | ||||||||
\(917\) | −0.121738 | + | 2.47972i | −0.00402013 | + | 0.0818876i | ||||
\(918\) | −16.6719 | + | 2.30258i | −0.550256 | + | 0.0759963i | ||||
\(919\) | 38.4441 | + | 22.1957i | 1.26816 | + | 0.732170i | 0.974639 | − | 0.223784i | \(-0.0718412\pi\) |
0.293516 | + | 0.955954i | \(0.405174\pi\) | |||||||
\(920\) | −13.0323 | − | 0.797805i | −0.429663 | − | 0.0263028i | ||||
\(921\) | −9.19291 | + | 41.8855i | −0.302917 | + | 1.38017i | ||||
\(922\) | 0.00100191 | + | 0.00373918i | 3.29961e−5 | + | 0.000123143i | ||||
\(923\) | −1.40466 | + | 1.40466i | −0.0462350 | + | 0.0462350i | ||||
\(924\) | 13.8271 | − | 7.92225i | 0.454879 | − | 0.260623i | ||||
\(925\) | 38.8652 | + | 15.7075i | 1.27788 | + | 0.516459i | ||||
\(926\) | −34.0896 | − | 19.6816i | −1.12025 | − | 0.646778i | ||||
\(927\) | 2.53980 | − | 14.7689i | 0.0834181 | − | 0.485074i | ||||
\(928\) | 0.512009 | − | 1.91084i | 0.0168075 | − | 0.0627265i | ||||
\(929\) | −20.6408 | + | 35.7508i | −0.677201 | + | 1.17295i | 0.298619 | + | 0.954372i | \(0.403474\pi\) |
−0.975820 | + | 0.218575i | \(0.929859\pi\) | |||||||
\(930\) | 33.3699 | − | 8.39309i | 1.09424 | − | 0.275220i | ||||
\(931\) | 17.8486 | − | 8.08853i | 0.584964 | − | 0.265091i | ||||
\(932\) | −0.134997 | − | 0.134997i | −0.00442199 | − | 0.00442199i | ||||
\(933\) | −3.97774 | + | 7.68076i | −0.130225 | + | 0.251457i | ||||
\(934\) | −8.98915 | + | 5.18989i | −0.294134 | + | 0.169818i | ||||
\(935\) | 16.6877 | + | 18.8640i | 0.545745 | + | 0.616920i | ||||
\(936\) | 0.629686 | − | 1.36541i | 0.0205819 | − | 0.0446299i | ||||
\(937\) | −6.68894 | + | 6.68894i | −0.218518 | + | 0.218518i | −0.807874 | − | 0.589356i | \(-0.799382\pi\) |
0.589356 | + | 0.807874i | \(0.299382\pi\) | |||||||
\(938\) | 17.0339 | + | 33.1594i | 0.556177 | + | 1.08269i | ||||
\(939\) | 13.2777 | − | 14.5517i | 0.433300 | − | 0.474876i | ||||
\(940\) | 1.69413 | − | 5.06231i | 0.0552566 | − | 0.165115i | ||||
\(941\) | 11.8432 | − | 6.83768i | 0.386078 | − | 0.222902i | −0.294382 | − | 0.955688i | \(-0.595114\pi\) |
0.680459 | + | 0.732786i | \(0.261780\pi\) | |||||||
\(942\) | −6.91122 | + | 4.42351i | −0.225180 | + | 0.144126i | ||||
\(943\) | 44.9391 | − | 12.0414i | 1.46342 | − | 0.392122i | ||||
\(944\) | −4.36805 | −0.142168 | ||||||||
\(945\) | −14.6448 | + | 27.0283i | −0.476396 | + | 0.879231i | ||||
\(946\) | 29.6831 | 0.965081 | ||||||||
\(947\) | −8.01700 | + | 2.14815i | −0.260517 | + | 0.0698054i | −0.386714 | − | 0.922200i | \(-0.626390\pi\) |
0.126196 | + | 0.992005i | \(0.459723\pi\) | |||||||
\(948\) | 12.6103 | − | 8.07118i | 0.409564 | − | 0.262140i | ||||
\(949\) | 1.65704 | − | 0.956694i | 0.0537899 | − | 0.0310556i | ||||
\(950\) | 11.0307 | − | 8.61622i | 0.357884 | − | 0.279547i | ||||
\(951\) | 31.3860 | − | 34.3975i | 1.01776 | − | 1.11542i | ||||
\(952\) | 4.64350 | − | 7.20239i | 0.150497 | − | 0.233431i | ||||
\(953\) | 27.8231 | − | 27.8231i | 0.901277 | − | 0.901277i | −0.0942697 | − | 0.995547i | \(-0.530052\pi\) |
0.995547 | + | 0.0942697i | \(0.0300516\pi\) | |||||||
\(954\) | 7.54281 | − | 16.3558i | 0.244207 | − | 0.529539i | ||||
\(955\) | −23.0627 | − | 1.41184i | −0.746292 | − | 0.0456861i | ||||
\(956\) | 6.38655 | − | 3.68728i | 0.206556 | − | 0.119255i | ||||
\(957\) | 5.47955 | − | 10.5807i | 0.177129 | − | 0.342024i | ||||
\(958\) | 4.01724 | + | 4.01724i | 0.129791 | + | 0.129791i | ||||
\(959\) | −46.8897 | + | 10.1288i | −1.51415 | + | 0.327078i | ||||
\(960\) | −3.32390 | − | 1.98789i | −0.107278 | − | 0.0641589i | ||||
\(961\) | −23.9664 | + | 41.5110i | −0.773110 | + | 1.33907i | ||||
\(962\) | −1.08756 | + | 4.05885i | −0.0350645 | + | 0.130862i | ||||
\(963\) | −6.99241 | + | 40.6606i | −0.225327 | + | 1.31027i | ||||
\(964\) | −12.5978 | − | 7.27332i | −0.405747 | − | 0.234258i | ||||
\(965\) | −5.47792 | − | 26.9324i | −0.176341 | − | 0.866984i | ||||
\(966\) | −0.0884717 | + | 26.7582i | −0.00284653 | + | 0.860930i | ||||
\(967\) | 18.6189 | − | 18.6189i | 0.598743 | − | 0.598743i | −0.341235 | − | 0.939978i | \(-0.610845\pi\) |
0.939978 | + | 0.341235i | \(0.110845\pi\) | |||||||
\(968\) | 0.282868 | + | 1.05568i | 0.00909172 | + | 0.0339308i | ||||
\(969\) | 3.36672 | − | 15.3397i | 0.108155 | − | 0.492782i | ||||
\(970\) | 2.25112 | − | 36.7726i | 0.0722791 | − | 1.18070i | ||||
\(971\) | −43.2885 | − | 24.9926i | −1.38920 | − | 0.802052i | −0.395971 | − | 0.918263i | \(-0.629592\pi\) |
−0.993225 | + | 0.116211i | \(0.962925\pi\) | |||||||
\(972\) | 15.1824 | − | 3.53466i | 0.486977 | − | 0.113374i | ||||
\(973\) | 33.9830 | − | 17.4570i | 1.08945 | − | 0.559645i | ||||
\(974\) | 6.76997 | 0.216924 | ||||||||
\(975\) | 3.29493 | − | 2.82558i | 0.105522 | − | 0.0904910i | ||||
\(976\) | −3.79381 | − | 6.57108i | −0.121437 | − | 0.210335i | ||||
\(977\) | 1.11603 | − | 4.16509i | 0.0357050 | − | 0.133253i | −0.945773 | − | 0.324829i | \(-0.894693\pi\) |
0.981478 | + | 0.191576i | \(0.0613599\pi\) | |||||||
\(978\) | 4.68701 | − | 9.05033i | 0.149874 | − | 0.289398i | ||||
\(979\) | 25.0307i | 0.799985i | ||||||||
\(980\) | −5.57763 | − | 14.6250i | −0.178171 | − | 0.467178i | ||||
\(981\) | −0.525763 | − | 5.73031i | −0.0167863 | − | 0.182955i | ||||
\(982\) | −2.92288 | − | 10.9083i | −0.0932728 | − | 0.348099i | ||||
\(983\) | 2.36044 | + | 0.632479i | 0.0752865 | + | 0.0201730i | 0.296266 | − | 0.955106i | \(-0.404259\pi\) |
−0.220979 | + | 0.975279i | \(0.570925\pi\) | |||||||
\(984\) | 13.4796 | + | 2.95846i | 0.429713 | + | 0.0943124i | ||||
\(985\) | −26.3404 | − | 8.81498i | −0.839275 | − | 0.280869i | ||||
\(986\) | − | 6.40749i | − | 0.204056i | ||||||
\(987\) | −10.5580 | − | 2.86646i | −0.336065 | − | 0.0912403i | ||||
\(988\) | 0.992123 | + | 0.992123i | 0.0315636 | + | 0.0315636i | ||||
\(989\) | −24.9209 | + | 43.1642i | −0.792437 | + | 1.37254i | ||||
\(990\) | −16.9882 | − | 15.9870i | −0.539920 | − | 0.508099i | ||||
\(991\) | 17.2356 | + | 29.8529i | 0.547506 | + | 0.948309i | 0.998445 | + | 0.0557538i | \(0.0177562\pi\) |
−0.450938 | + | 0.892555i | \(0.648910\pi\) | |||||||
\(992\) | 8.58169 | − | 2.29946i | 0.272469 | − | 0.0730078i | ||||
\(993\) | 2.12584 | + | 46.4365i | 0.0674614 | + | 1.47362i | ||||
\(994\) | 7.76958 | − | 7.04241i | 0.246436 | − | 0.223372i | ||||
\(995\) | 19.9849 | − | 30.1903i | 0.633564 | − | 0.957097i | ||||
\(996\) | 7.77778 | + | 24.4873i | 0.246449 | + | 0.775911i | ||||
\(997\) | −53.4053 | − | 14.3099i | −1.69136 | − | 0.453199i | −0.720622 | − | 0.693328i | \(-0.756144\pi\) |
−0.970741 | + | 0.240129i | \(0.922810\pi\) | |||||||
\(998\) | −3.14690 | − | 0.843210i | −0.0996135 | − | 0.0266913i | ||||
\(999\) | −40.1412 | + | 16.9261i | −1.27001 | + | 0.535518i |
(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 | 210.2.x.a.23.2 | ✓ | 64 | |
3.2 | odd | 2 | inner | 210.2.x.a.23.14 | yes | 64 | |
5.2 | odd | 4 | inner | 210.2.x.a.107.5 | yes | 64 | |
7.4 | even | 3 | inner | 210.2.x.a.53.15 | yes | 64 | |
15.2 | even | 4 | inner | 210.2.x.a.107.15 | yes | 64 | |
21.11 | odd | 6 | inner | 210.2.x.a.53.5 | yes | 64 | |
35.32 | odd | 12 | inner | 210.2.x.a.137.14 | yes | 64 | |
105.32 | even | 12 | inner | 210.2.x.a.137.2 | yes | 64 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
210.2.x.a.23.2 | ✓ | 64 | 1.1 | even | 1 | trivial | |
210.2.x.a.23.14 | yes | 64 | 3.2 | odd | 2 | inner | |
210.2.x.a.53.5 | yes | 64 | 21.11 | odd | 6 | inner | |
210.2.x.a.53.15 | yes | 64 | 7.4 | even | 3 | inner | |
210.2.x.a.107.5 | yes | 64 | 5.2 | odd | 4 | inner | |
210.2.x.a.107.15 | yes | 64 | 15.2 | even | 4 | inner | |
210.2.x.a.137.2 | yes | 64 | 105.32 | even | 12 | inner | |
210.2.x.a.137.14 | yes | 64 | 35.32 | odd | 12 | inner |