Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [11,7,Mod(2,11)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(11, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([1]))
N = Newforms(chi, 7, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("11.2");
S:= CuspForms(chi, 7);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 11 \) |
Weight: | \( k \) | \(=\) | \( 7 \) |
Character orbit: | \([\chi]\) | \(=\) | 11.d (of order \(10\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.53059491982\) |
Analytic rank: | \(0\) |
Dimension: | \(20\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{10})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{20} + \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{20} + 825 x^{18} + 275175 x^{16} + 47589550 x^{14} + 4569013705 x^{12} + 245564683275 x^{10} + \cdots + 17\!\cdots\!25 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 2^{4}\cdot 5\cdot 11^{2} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 6.3 | ||
Root | \(-0.868969i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 11.6 |
Dual form | 11.7.d.a.2.3 |
$q$-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 \(\left(\mathbb{Z}/11\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{9}{10}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.291595 | − | 0.0947451i | 0.0364494 | − | 0.0118431i | −0.290736 | − | 0.956803i | \(-0.593900\pi\) |
0.327185 | + | 0.944960i | \(0.393900\pi\) | |||||||
\(3\) | −33.5534 | − | 24.3780i | −1.24272 | − | 0.902887i | −0.244941 | − | 0.969538i | \(-0.578769\pi\) |
−0.997776 | + | 0.0666507i | \(0.978769\pi\) | |||||||
\(4\) | −51.7010 | + | 37.5630i | −0.807829 | + | 0.586922i | ||||
\(5\) | 29.6861 | − | 91.3645i | 0.237489 | − | 0.730916i | −0.759292 | − | 0.650750i | \(-0.774455\pi\) |
0.996781 | − | 0.0801666i | \(-0.0255452\pi\) | |||||||
\(6\) | −12.0937 | − | 3.92948i | −0.0559894 | − | 0.0181920i | ||||
\(7\) | −91.4937 | − | 125.930i | −0.266746 | − | 0.367144i | 0.654542 | − | 0.756026i | \(-0.272861\pi\) |
−0.921288 | + | 0.388882i | \(0.872861\pi\) | |||||||
\(8\) | −23.0507 | + | 31.7266i | −0.0450209 | + | 0.0619659i | ||||
\(9\) | 306.271 | + | 942.605i | 0.420125 | + | 1.29301i | ||||
\(10\) | − | 29.4541i | − | 0.0294541i | ||||||
\(11\) | 941.710 | − | 940.608i | 0.707521 | − | 0.706692i | ||||
\(12\) | 2650.45 | 1.53383 | ||||||||
\(13\) | −2700.81 | + | 877.547i | −1.22932 | + | 0.399430i | −0.850467 | − | 0.526028i | \(-0.823681\pi\) |
−0.378851 | + | 0.925458i | \(0.623681\pi\) | |||||||
\(14\) | −38.6104 | − | 28.0521i | −0.0140709 | − | 0.0102231i | ||||
\(15\) | −3223.35 | + | 2341.90i | −0.955067 | + | 0.693897i | ||||
\(16\) | 1260.16 | − | 3878.37i | 0.307656 | − | 0.946868i | ||||
\(17\) | −6339.53 | − | 2059.84i | −1.29036 | − | 0.419263i | −0.418141 | − | 0.908382i | \(-0.637318\pi\) |
−0.872217 | + | 0.489119i | \(0.837318\pi\) | |||||||
\(18\) | 178.614 | + | 245.842i | 0.0306266 | + | 0.0421539i | ||||
\(19\) | 4994.15 | − | 6873.86i | 0.728117 | − | 1.00217i | −0.271098 | − | 0.962552i | \(-0.587387\pi\) |
0.999215 | − | 0.0396154i | \(-0.0126133\pi\) | |||||||
\(20\) | 1897.12 | + | 5838.74i | 0.237140 | + | 0.729843i | ||||
\(21\) | 6455.82i | 0.697097i | ||||||||
\(22\) | 185.480 | − | 363.499i | 0.0174193 | − | 0.0341378i | ||||
\(23\) | −2379.19 | −0.195545 | −0.0977723 | − | 0.995209i | \(-0.531172\pi\) | ||||
−0.0977723 | + | 0.995209i | \(0.531172\pi\) | |||||||
\(24\) | 1546.86 | − | 502.604i | 0.111896 | − | 0.0363574i | ||||
\(25\) | 5174.68 | + | 3759.63i | 0.331180 | + | 0.240616i | ||||
\(26\) | −704.401 | + | 511.777i | −0.0400774 | + | 0.0291180i | ||||
\(27\) | 3359.32 | − | 10338.9i | 0.170671 | − | 0.525271i | ||||
\(28\) | 9460.64 | + | 3073.95i | 0.430969 | + | 0.140030i | ||||
\(29\) | 24050.1 | + | 33102.1i | 0.986103 | + | 1.35725i | 0.933476 | + | 0.358640i | \(0.116759\pi\) |
0.0526272 | + | 0.998614i | \(0.483241\pi\) | |||||||
\(30\) | −718.031 | + | 988.284i | −0.0265937 | + | 0.0366031i | ||||
\(31\) | −14101.5 | − | 43399.9i | −0.473347 | − | 1.45681i | −0.848174 | − | 0.529717i | \(-0.822298\pi\) |
0.374828 | − | 0.927095i | \(-0.377702\pi\) | |||||||
\(32\) | − | 3760.14i | − | 0.114751i | ||||||
\(33\) | −54527.7 | + | 8603.59i | −1.51731 | + | 0.239408i | ||||
\(34\) | −2043.74 | −0.0519982 | ||||||||
\(35\) | −14221.7 | + | 4620.90i | −0.331700 | + | 0.107776i | ||||
\(36\) | −51241.6 | − | 37229.2i | −1.09829 | − | 0.797951i | ||||
\(37\) | −115.988 | + | 84.2706i | −0.00228986 | + | 0.00166368i | −0.588930 | − | 0.808184i | \(-0.700450\pi\) |
0.586640 | + | 0.809848i | \(0.300450\pi\) | |||||||
\(38\) | 805.008 | − | 2477.56i | 0.0146706 | − | 0.0451516i | ||||
\(39\) | 112014. | + | 36395.6i | 1.88833 | + | 0.613557i | ||||
\(40\) | 2214.40 | + | 3047.85i | 0.0345999 | + | 0.0476227i | ||||
\(41\) | 958.842 | − | 1319.73i | 0.0139122 | − | 0.0191485i | −0.802004 | − | 0.597318i | \(-0.796233\pi\) |
0.815916 | + | 0.578170i | \(0.196233\pi\) | |||||||
\(42\) | 611.657 | + | 1882.49i | 0.00825582 | + | 0.0254088i | ||||
\(43\) | − | 53698.0i | − | 0.675387i | −0.941256 | − | 0.337693i | \(-0.890353\pi\) | ||
0.941256 | − | 0.337693i | \(-0.109647\pi\) | |||||||
\(44\) | −13355.4 | + | 84003.9i | −0.156782 | + | 0.986146i | ||||
\(45\) | 95212.7 | 1.04486 | ||||||||
\(46\) | −693.761 | + | 225.417i | −0.00712749 | + | 0.00231586i | ||||
\(47\) | −35134.9 | − | 25527.0i | −0.338411 | − | 0.245870i | 0.405580 | − | 0.914060i | \(-0.367070\pi\) |
−0.743991 | + | 0.668189i | \(0.767070\pi\) | |||||||
\(48\) | −136829. | + | 99412.3i | −1.23724 | + | 0.898911i | ||||
\(49\) | 28868.2 | − | 88847.2i | 0.245376 | − | 0.755189i | ||||
\(50\) | 1865.12 | + | 606.014i | 0.0149210 | + | 0.00484811i | ||||
\(51\) | 162498. | + | 223659.i | 1.22500 | + | 1.68607i | ||||
\(52\) | 106671. | − | 146821.i | 0.758644 | − | 1.04418i | ||||
\(53\) | −27885.3 | − | 85822.2i | −0.187305 | − | 0.576464i | 0.812676 | − | 0.582716i | \(-0.198010\pi\) |
−0.999980 | + | 0.00625184i | \(0.998010\pi\) | |||||||
\(54\) | − | 3333.06i | − | 0.0211671i | ||||||
\(55\) | −57982.4 | − | 113962.i | −0.348504 | − | 0.684970i | ||||
\(56\) | 6104.33 | 0.0347595 | ||||||||
\(57\) | −335142. | + | 108894.i | −1.80969 | + | 0.588003i | ||||
\(58\) | 10149.1 | + | 7373.79i | 0.0520170 | + | 0.0377926i | ||||
\(59\) | −97523.6 | + | 70855.0i | −0.474847 | + | 0.344997i | −0.799327 | − | 0.600896i | \(-0.794811\pi\) |
0.324480 | + | 0.945892i | \(0.394811\pi\) | |||||||
\(60\) | 78681.7 | − | 242157.i | 0.364267 | − | 1.12110i | ||||
\(61\) | −246917. | − | 80228.2i | −1.08783 | − | 0.353458i | −0.290423 | − | 0.956898i | \(-0.593796\pi\) |
−0.797408 | + | 0.603440i | \(0.793796\pi\) | |||||||
\(62\) | −8223.85 | − | 11319.2i | −0.0345064 | − | 0.0474940i | ||||
\(63\) | 90680.7 | − | 124811.i | 0.362655 | − | 0.499151i | ||||
\(64\) | 80293.9 | + | 247119.i | 0.306297 | + | 0.942685i | ||||
\(65\) | 272809.i | 0.993388i | ||||||||
\(66\) | −15084.9 | + | 7674.99i | −0.0524698 | + | 0.0266960i | ||||
\(67\) | 163882. | 0.544886 | 0.272443 | − | 0.962172i | \(-0.412168\pi\) | ||||
0.272443 | + | 0.962172i | \(0.412168\pi\) | |||||||
\(68\) | 405134. | − | 131636.i | 1.28846 | − | 0.418647i | ||||
\(69\) | 79829.9 | + | 57999.8i | 0.243007 | + | 0.176555i | ||||
\(70\) | −3709.16 | + | 2694.86i | −0.0108139 | + | 0.00785675i | ||||
\(71\) | 50757.5 | − | 156215.i | 0.141816 | − | 0.436464i | −0.854772 | − | 0.519004i | \(-0.826303\pi\) |
0.996588 | + | 0.0825395i | \(0.0263030\pi\) | |||||||
\(72\) | −36965.4 | − | 12010.8i | −0.0990370 | − | 0.0321791i | ||||
\(73\) | 161041. | + | 221654.i | 0.413969 | + | 0.569779i | 0.964181 | − | 0.265246i | \(-0.0854532\pi\) |
−0.550212 | + | 0.835025i | \(0.685453\pi\) | |||||||
\(74\) | −25.8375 | + | 35.5623i | −6.37610e−5 | + | 8.77595e-5i | ||||
\(75\) | −81976.0 | − | 252296.i | −0.194314 | − | 0.598036i | ||||
\(76\) | 542981.i | 1.23693i | ||||||||
\(77\) | −204612. | − | 32530.2i | −0.448186 | − | 0.0712548i | ||||
\(78\) | 36111.1 | 0.0760952 | ||||||||
\(79\) | −309907. | + | 100695.i | −0.628565 | + | 0.204233i | −0.605939 | − | 0.795511i | \(-0.707203\pi\) |
−0.0226258 | + | 0.999744i | \(0.507203\pi\) | |||||||
\(80\) | −316936. | − | 230268.i | −0.619016 | − | 0.449741i | ||||
\(81\) | 219775. | − | 159676.i | 0.413545 | − | 0.300458i | ||||
\(82\) | 154.556 | − | 475.674i | 0.000280313 | − | 0.000862715i | ||||
\(83\) | 603906. | + | 196221.i | 1.05617 | + | 0.343172i | 0.785088 | − | 0.619384i | \(-0.212617\pi\) |
0.271085 | + | 0.962555i | \(0.412617\pi\) | |||||||
\(84\) | −242500. | − | 333772.i | −0.409142 | − | 0.563135i | ||||
\(85\) | −376392. | + | 518060.i | −0.612892 | + | 0.843573i | ||||
\(86\) | −5087.62 | − | 15658.1i | −0.00799870 | − | 0.0246175i | ||||
\(87\) | − | 1.69698e6i | − | 2.57702i | ||||||
\(88\) | 8135.16 | + | 51558.9i | 0.0119376 | + | 0.0756581i | ||||
\(89\) | −578895. | −0.821163 | −0.410582 | − | 0.911824i | \(-0.634674\pi\) | ||||
−0.410582 | + | 0.911824i | \(0.634674\pi\) | |||||||
\(90\) | 27763.6 | − | 9020.93i | 0.0380845 | − | 0.0123744i | ||||
\(91\) | 357617. | + | 259824.i | 0.474563 | + | 0.344790i | ||||
\(92\) | 123007. | − | 89369.6i | 0.157967 | − | 0.114769i | ||||
\(93\) | −584848. | + | 1.79998e6i | −0.727100 | + | 2.23778i | ||||
\(94\) | −12663.7 | − | 4114.69i | −0.0152468 | − | 0.00495398i | ||||
\(95\) | −479770. | − | 660347.i | −0.559580 | − | 0.770196i | ||||
\(96\) | −91664.6 | + | 126166.i | −0.103607 | + | 0.142602i | ||||
\(97\) | −96430.6 | − | 296783.i | −0.105657 | − | 0.325180i | 0.884227 | − | 0.467058i | \(-0.154686\pi\) |
−0.989884 | + | 0.141878i | \(0.954686\pi\) | |||||||
\(98\) | − | 28642.6i | − | 0.0304322i | ||||||
\(99\) | 1.17504e6 | + | 599580.i | 1.21101 | + | 0.617934i | ||||
\(100\) | −408759. | −0.408759 | ||||||||
\(101\) | 1.43910e6 | − | 467593.i | 1.39678 | − | 0.453842i | 0.488632 | − | 0.872490i | \(-0.337496\pi\) |
0.908149 | + | 0.418648i | \(0.137496\pi\) | |||||||
\(102\) | 68574.3 | + | 49822.1i | 0.0646191 | + | 0.0469485i | ||||
\(103\) | 577405. | − | 419509.i | 0.528407 | − | 0.383910i | −0.291355 | − | 0.956615i | \(-0.594106\pi\) |
0.819762 | + | 0.572705i | \(0.194106\pi\) | |||||||
\(104\) | 34414.0 | − | 105915.i | 0.0305939 | − | 0.0941585i | ||||
\(105\) | 589833. | + | 191648.i | 0.509520 | + | 0.165553i | ||||
\(106\) | −16262.5 | − | 22383.4i | −0.0136543 | − | 0.0187935i | ||||
\(107\) | −112009. | + | 154167.i | −0.0914328 | + | 0.125846i | −0.852283 | − | 0.523082i | \(-0.824782\pi\) |
0.760850 | + | 0.648928i | \(0.224782\pi\) | |||||||
\(108\) | 214680. | + | 660718.i | 0.170420 | + | 0.524500i | ||||
\(109\) | 816031.i | 0.630125i | 0.949071 | + | 0.315063i | \(0.102026\pi\) | ||||
−0.949071 | + | 0.315063i | \(0.897974\pi\) | |||||||
\(110\) | −27704.7 | − | 27737.2i | −0.0208150 | − | 0.0208394i | ||||
\(111\) | 5946.15 | 0.00434777 | ||||||||
\(112\) | −603701. | + | 196154.i | −0.429703 | + | 0.139619i | ||||
\(113\) | −60201.2 | − | 43738.7i | −0.0417224 | − | 0.0303131i | 0.566729 | − | 0.823905i | \(-0.308209\pi\) |
−0.608451 | + | 0.793591i | \(0.708209\pi\) | |||||||
\(114\) | −87408.6 | + | 63506.0i | −0.0589983 | + | 0.0428648i | ||||
\(115\) | −70629.0 | + | 217374.i | −0.0464397 | + | 0.142927i | ||||
\(116\) | −2.48683e6 | − | 808019.i | −1.59320 | − | 0.517664i | ||||
\(117\) | −1.65436e6 | − | 2.27703e6i | −1.03293 | − | 1.42171i | ||||
\(118\) | −21724.3 | + | 29900.9i | −0.0132221 | + | 0.0181986i | ||||
\(119\) | 320631. | + | 986801.i | 0.190268 | + | 0.585584i | ||||
\(120\) | − | 156248.i | − | 0.0904214i | ||||||
\(121\) | 2075.76 | − | 1.77156e6i | 0.00117171 | − | 0.999999i | ||||
\(122\) | −79601.1 | −0.0438369 | ||||||||
\(123\) | −64344.8 | + | 20906.9i | −0.0345778 | + | 0.0112350i | ||||
\(124\) | 2.35929e6 | + | 1.71412e6i | 1.23742 | + | 0.899037i | ||||
\(125\) | 1.71148e6 | − | 1.24346e6i | 0.876276 | − | 0.636652i | ||||
\(126\) | 14616.8 | − | 44986.0i | 0.00730704 | − | 0.0224887i | ||||
\(127\) | −2.21398e6 | − | 719365.i | −1.08084 | − | 0.351187i | −0.286141 | − | 0.958188i | \(-0.592373\pi\) |
−0.794701 | + | 0.607001i | \(0.792373\pi\) | |||||||
\(128\) | 188277. | + | 259141.i | 0.0897774 | + | 0.123568i | ||||
\(129\) | −1.30905e6 | + | 1.80175e6i | −0.609798 | + | 0.839315i | ||||
\(130\) | 25847.3 | + | 79549.9i | 0.0117648 | + | 0.0362084i | ||||
\(131\) | 3.47975e6i | 1.54787i | 0.633265 | + | 0.773935i | \(0.281714\pi\) | ||||
−0.633265 | + | 0.773935i | \(0.718286\pi\) | |||||||
\(132\) | 2.49596e6 | − | 2.49304e6i | 1.08521 | − | 1.08394i | ||||
\(133\) | −1.32256e6 | −0.562161 | ||||||||
\(134\) | 47787.1 | − | 15527.0i | 0.0198608 | − | 0.00645316i | ||||
\(135\) | −844885. | − | 613845.i | −0.343397 | − | 0.249492i | ||||
\(136\) | 211482. | − | 153651.i | 0.0840731 | − | 0.0610827i | ||||
\(137\) | 428650. | − | 1.31925e6i | 0.166702 | − | 0.513057i | −0.832455 | − | 0.554092i | \(-0.813066\pi\) |
0.999158 | + | 0.0410352i | \(0.0130656\pi\) | |||||||
\(138\) | 28773.2 | + | 9348.99i | 0.0109484 | + | 0.00355736i | ||||
\(139\) | 339066. | + | 466685.i | 0.126253 | + | 0.173772i | 0.867464 | − | 0.497500i | \(-0.165748\pi\) |
−0.741212 | + | 0.671272i | \(0.765748\pi\) | |||||||
\(140\) | 561700. | − | 773113.i | 0.204701 | − | 0.281747i | ||||
\(141\) | 556598. | + | 1.71303e6i | 0.198557 | + | 0.611094i | ||||
\(142\) | − | 50360.7i | − | 0.0175884i | ||||||
\(143\) | −1.71795e6 | + | 3.36680e6i | −0.587494 | + | 1.15135i | ||||
\(144\) | 4.04172e6 | 1.35356 | ||||||||
\(145\) | 3.73831e6 | − | 1.21465e6i | 1.22623 | − | 0.398426i | ||||
\(146\) | 67959.4 | + | 49375.4i | 0.0218369 | + | 0.0158654i | ||||
\(147\) | −3.13454e6 | + | 2.27738e6i | −0.986783 | + | 0.716940i | ||||
\(148\) | 2831.27 | − | 8713.75i | 0.000873366 | − | 0.00268794i | ||||
\(149\) | 3.10439e6 | + | 1.00868e6i | 0.938464 | + | 0.304925i | 0.738019 | − | 0.674780i | \(-0.235761\pi\) |
0.200445 | + | 0.979705i | \(0.435761\pi\) | |||||||
\(150\) | −47807.7 | − | 65801.6i | −0.0141652 | − | 0.0194968i | ||||
\(151\) | 1.68851e6 | − | 2.32403e6i | 0.490424 | − | 0.675011i | −0.490042 | − | 0.871699i | \(-0.663019\pi\) |
0.980466 | + | 0.196688i | \(0.0630185\pi\) | |||||||
\(152\) | 102965. | + | 316895.i | 0.0293197 | + | 0.0902369i | ||||
\(153\) | − | 6.60654e6i | − | 1.84459i | ||||||
\(154\) | −62745.9 | + | 9900.29i | −0.0171800 | + | 0.00271073i | ||||
\(155\) | −4.38383e6 | −1.17722 | ||||||||
\(156\) | −7.15837e6 | + | 2.32590e6i | −1.88556 | + | 0.612656i | ||||
\(157\) | −2.54683e6 | − | 1.85038e6i | −0.658115 | − | 0.478148i | 0.207911 | − | 0.978148i | \(-0.433334\pi\) |
−0.866026 | + | 0.500000i | \(0.833334\pi\) | |||||||
\(158\) | −80827.2 | + | 58724.4i | −0.0204921 | + | 0.0148884i | ||||
\(159\) | −1.15652e6 | + | 3.55941e6i | −0.287715 | + | 0.885497i | ||||
\(160\) | −343544. | − | 111624.i | −0.0838730 | − | 0.0272520i | ||||
\(161\) | 217681. | + | 299612.i | 0.0521607 | + | 0.0717930i | ||||
\(162\) | 48956.8 | − | 67383.3i | 0.0115151 | − | 0.0158492i | ||||
\(163\) | −2.61371e6 | − | 8.04419e6i | −0.603525 | − | 1.85746i | −0.506628 | − | 0.862165i | \(-0.669108\pi\) |
−0.0968971 | − | 0.995294i | \(-0.530892\pi\) | |||||||
\(164\) | 104249.i | 0.0236341i | ||||||||
\(165\) | −832652. | + | 5.23730e6i | −0.185358 | + | 1.16588i | ||||
\(166\) | 194687. | 0.0425612 | ||||||||
\(167\) | 2.63060e6 | − | 854735.i | 0.564814 | − | 0.183519i | −0.0126719 | − | 0.999920i | \(-0.504034\pi\) |
0.577486 | + | 0.816400i | \(0.304034\pi\) | |||||||
\(168\) | −204821. | − | 148811.i | −0.0431963 | − | 0.0313839i | ||||
\(169\) | 2.61932e6 | − | 1.90305e6i | 0.542661 | − | 0.394266i | ||||
\(170\) | −60670.7 | + | 186725.i | −0.0123490 | + | 0.0380063i | ||||
\(171\) | 8.00891e6 | + | 2.60225e6i | 1.60171 | + | 0.520428i | ||||
\(172\) | 2.01706e6 | + | 2.77624e6i | 0.396399 | + | 0.545597i | ||||
\(173\) | −1.67349e6 | + | 2.30336e6i | −0.323210 | + | 0.444861i | −0.939444 | − | 0.342702i | \(-0.888658\pi\) |
0.616234 | + | 0.787563i | \(0.288658\pi\) | |||||||
\(174\) | −160780. | − | 494831.i | −0.0305200 | − | 0.0939310i | ||||
\(175\) | − | 995631.i | − | 0.185774i | ||||||
\(176\) | −2.46132e6 | − | 4.83762e6i | −0.451471 | − | 0.887347i | ||||
\(177\) | 4.99955e6 | 0.901594 | ||||||||
\(178\) | −168803. | + | 54847.4i | −0.0299309 | + | 0.00972515i | ||||
\(179\) | −1.61456e6 | − | 1.17305e6i | −0.281511 | − | 0.204530i | 0.438065 | − | 0.898943i | \(-0.355664\pi\) |
−0.719576 | + | 0.694413i | \(0.755664\pi\) | |||||||
\(180\) | −4.92259e6 | + | 3.57647e6i | −0.844066 | + | 0.613250i | ||||
\(181\) | 1.07974e6 | − | 3.32311e6i | 0.182090 | − | 0.560414i | −0.817797 | − | 0.575507i | \(-0.804805\pi\) |
0.999886 | + | 0.0150934i | \(0.00480456\pi\) | |||||||
\(182\) | 128897. | + | 41881.0i | 0.0213810 | + | 0.00694709i | ||||
\(183\) | 6.32910e6 | + | 8.71126e6i | 1.03273 | + | 1.42144i | ||||
\(184\) | 54842.0 | − | 75483.5i | 0.00880359 | − | 0.0121171i | ||||
\(185\) | 4256.09 | + | 13098.9i | 0.000672196 | + | 0.00206881i | ||||
\(186\) | 580277.i | 0.0901771i | ||||||||
\(187\) | −7.90750e6 | + | 4.02324e6i | −1.20925 | + | 0.615249i | ||||
\(188\) | 2.77538e6 | 0.417685 | ||||||||
\(189\) | −1.60934e6 | + | 522906.i | −0.238376 | + | 0.0774530i | ||||
\(190\) | −202463. | − | 147098.i | −0.0295179 | − | 0.0214460i | ||||
\(191\) | −1.00105e6 | + | 727308.i | −0.143667 | + | 0.104380i | −0.657297 | − | 0.753631i | \(-0.728300\pi\) |
0.513630 | + | 0.858012i | \(0.328300\pi\) | |||||||
\(192\) | 3.33013e6 | − | 1.02491e7i | 0.470498 | − | 1.44804i | ||||
\(193\) | 5.77268e6 | + | 1.87566e6i | 0.802981 | + | 0.260904i | 0.681622 | − | 0.731704i | \(-0.261275\pi\) |
0.121359 | + | 0.992609i | \(0.461275\pi\) | |||||||
\(194\) | −56237.5 | − | 77404.2i | −0.00770230 | − | 0.0106013i | ||||
\(195\) | 6.65053e6 | − | 9.15367e6i | 0.896918 | − | 1.23450i | ||||
\(196\) | 1.84485e6 | + | 5.67787e6i | 0.245015 | + | 0.754079i | ||||
\(197\) | 7.91788e6i | 1.03564i | 0.855489 | + | 0.517821i | \(0.173257\pi\) | ||||
−0.855489 | + | 0.517821i | \(0.826743\pi\) | |||||||
\(198\) | 399444. | + | 63505.6i | 0.0514588 | + | 0.00818119i | ||||
\(199\) | −5.93743e6 | −0.753423 | −0.376712 | − | 0.926331i | \(-0.622945\pi\) | ||||
−0.376712 | + | 0.926331i | \(0.622945\pi\) | |||||||
\(200\) | −238560. | + | 77512.8i | −0.0298200 | + | 0.00968910i | ||||
\(201\) | −5.49878e6 | − | 3.99510e6i | −0.677140 | − | 0.491971i | ||||
\(202\) | 375334. | − | 272696.i | 0.0455370 | − | 0.0330845i | ||||
\(203\) | 1.96812e6 | − | 6.05727e6i | 0.235269 | − | 0.724083i | ||||
\(204\) | −1.68026e7 | − | 5.45951e6i | −1.97919 | − | 0.643077i | ||||
\(205\) | −92112.4 | − | 126782.i | −0.0106919 | − | 0.0147162i | ||||
\(206\) | 128622. | − | 177033.i | 0.0147134 | − | 0.0202513i | ||||
\(207\) | −728677. | − | 2.24264e6i | −0.0821531 | − | 0.252841i | ||||
\(208\) | 1.15806e7i | 1.28689i | ||||||||
\(209\) | −1.76256e6 | − | 1.11707e7i | −0.193066 | − | 1.22361i | ||||
\(210\) | 190150. | 0.0205324 | ||||||||
\(211\) | −4.76819e6 | + | 1.54928e6i | −0.507582 | + | 0.164923i | −0.551602 | − | 0.834107i | \(-0.685983\pi\) |
0.0440202 | + | 0.999031i | \(0.485983\pi\) | |||||||
\(212\) | 4.66544e6 | + | 3.38964e6i | 0.489649 | + | 0.355751i | ||||
\(213\) | −5.51130e6 | + | 4.00419e6i | −0.570315 | + | 0.414358i | ||||
\(214\) | −18054.7 | + | 55566.8i | −0.00184226 | + | 0.00566988i | ||||
\(215\) | −4.90609e6 | − | 1.59409e6i | −0.493651 | − | 0.160397i | ||||
\(216\) | 250583. | + | 344899.i | 0.0248652 | + | 0.0342239i | ||||
\(217\) | −4.17516e6 | + | 5.74662e6i | −0.408596 | + | 0.562384i | ||||
\(218\) | 77314.9 | + | 237951.i | 0.00746266 | + | 0.0229677i | ||||
\(219\) | − | 1.13631e7i | − | 1.08184i | ||||||
\(220\) | 7.27850e6 | + | 3.71396e6i | 0.683556 | + | 0.348794i | ||||
\(221\) | 1.89295e7 | 1.75373 | ||||||||
\(222\) | 1733.87 | − | 563.369i | 0.000158474 | − | 5.14913e-5i | ||||
\(223\) | 8.08452e6 | + | 5.87375e6i | 0.729020 | + | 0.529664i | 0.889253 | − | 0.457415i | \(-0.151225\pi\) |
−0.160233 | + | 0.987079i | \(0.551225\pi\) | |||||||
\(224\) | −473516. | + | 344030.i | −0.0421299 | + | 0.0306092i | ||||
\(225\) | −1.95899e6 | + | 6.02915e6i | −0.171983 | + | 0.529308i | ||||
\(226\) | −21698.4 | − | 7050.24i | −0.00187976 | − | 0.000610771i | ||||
\(227\) | 4.35860e6 | + | 5.99909e6i | 0.372623 | + | 0.512871i | 0.953611 | − | 0.301041i | \(-0.0973340\pi\) |
−0.580989 | + | 0.813912i | \(0.697334\pi\) | |||||||
\(228\) | 1.32368e7 | − | 1.82189e7i | 1.11681 | − | 1.53715i | ||||
\(229\) | −463739. | − | 1.42724e6i | −0.0386160 | − | 0.118848i | 0.929890 | − | 0.367837i | \(-0.119902\pi\) |
−0.968506 | + | 0.248989i | \(0.919902\pi\) | |||||||
\(230\) | 70076.9i | 0.00575959i | ||||||||
\(231\) | 6.07239e6 | + | 6.07951e6i | 0.492633 | + | 0.493211i | ||||
\(232\) | −1.60459e6 | −0.128499 | ||||||||
\(233\) | −1.69204e7 | + | 5.49777e6i | −1.33765 | + | 0.434629i | −0.888521 | − | 0.458837i | \(-0.848266\pi\) |
−0.449131 | + | 0.893466i | \(0.648266\pi\) | |||||||
\(234\) | −698141. | − | 507229.i | −0.0544874 | − | 0.0395874i | ||||
\(235\) | −3.37528e6 | + | 2.45228e6i | −0.260079 | + | 0.188959i | ||||
\(236\) | 2.38054e6 | − | 7.32656e6i | 0.181109 | − | 0.557396i | ||||
\(237\) | 1.28532e7 | + | 4.17625e6i | 0.965529 | + | 0.313719i | ||||
\(238\) | 186989. | + | 257369.i | 0.0138703 | + | 0.0190908i | ||||
\(239\) | −7.57190e6 | + | 1.04218e7i | −0.554640 | + | 0.763396i | −0.990633 | − | 0.136554i | \(-0.956397\pi\) |
0.435993 | + | 0.899950i | \(0.356397\pi\) | |||||||
\(240\) | 5.02083e6 | + | 1.54525e7i | 0.363196 | + | 1.11780i | ||||
\(241\) | − | 1.47841e7i | − | 1.05620i | −0.849184 | − | 0.528098i | \(-0.822905\pi\) | ||
0.849184 | − | 0.528098i | \(-0.177095\pi\) | |||||||
\(242\) | −167241. | − | 516775.i | −0.0118004 | − | 0.0364633i | ||||
\(243\) | −1.91917e7 | −1.33750 | ||||||||
\(244\) | 1.57795e7 | − | 5.12706e6i | 1.08623 | − | 0.352939i | ||||
\(245\) | −7.26049e6 | − | 5.27506e6i | −0.493705 | − | 0.358698i | ||||
\(246\) | −16781.8 | + | 12192.7i | −0.00112728 | + | 0.000819020i | ||||
\(247\) | −7.45613e6 | + | 2.29476e7i | −0.494792 | + | 1.52281i | ||||
\(248\) | 1.70198e6 | + | 553006.i | 0.111583 | + | 0.0362556i | ||||
\(249\) | −1.54796e7 | − | 2.13059e7i | −1.00268 | − | 1.38007i | ||||
\(250\) | 381247. | − | 524742.i | 0.0243998 | − | 0.0335835i | ||||
\(251\) | −4.37040e6 | − | 1.34507e7i | −0.276376 | − | 0.850597i | −0.988852 | − | 0.148901i | \(-0.952426\pi\) |
0.712476 | − | 0.701696i | \(-0.247574\pi\) | |||||||
\(252\) | 9.85911e6i | 0.616079i | ||||||||
\(253\) | −2.24051e6 | + | 2.23789e6i | −0.138352 | + | 0.138190i | ||||
\(254\) | −713743. | −0.0435552 | ||||||||
\(255\) | 2.52585e7 | − | 8.20697e6i | 1.52330 | − | 0.494951i | ||||
\(256\) | −1.33741e7 | − | 9.71687e6i | −0.797160 | − | 0.579171i | ||||
\(257\) | 2.35760e7 | − | 1.71290e7i | 1.38890 | − | 1.00909i | 0.392915 | − | 0.919575i | \(-0.371467\pi\) |
0.995985 | − | 0.0895200i | \(-0.0285333\pi\) | |||||||
\(258\) | −211005. | + | 649408.i | −0.0122867 | + | 0.0378145i | ||||
\(259\) | 21224.4 | + | 6896.24i | 0.00122162 | + | 0.000396929i | ||||
\(260\) | −1.02475e7 | − | 1.41045e7i | −0.583041 | − | 0.802488i | ||||
\(261\) | −2.38364e7 | + | 3.28079e7i | −1.34066 | + | 1.84526i | ||||
\(262\) | 329689. | + | 1.01468e6i | 0.0183316 | + | 0.0564190i | ||||
\(263\) | − | 1.87830e7i | − | 1.03252i | −0.856432 | − | 0.516260i | \(-0.827324\pi\) | ||
0.856432 | − | 0.516260i | \(-0.172676\pi\) | |||||||
\(264\) | 983938. | − | 1.92829e6i | 0.0534756 | − | 0.104800i | ||||
\(265\) | −8.66892e6 | −0.465830 | ||||||||
\(266\) | −385653. | + | 125306.i | −0.0204905 | + | 0.00665776i | ||||
\(267\) | 1.94239e7 | + | 1.41123e7i | 1.02047 | + | 0.741418i | ||||
\(268\) | −8.47285e6 | + | 6.15589e6i | −0.440175 | + | 0.319806i | ||||
\(269\) | −6.76508e6 | + | 2.08208e7i | −0.347549 | + | 1.06965i | 0.612656 | + | 0.790350i | \(0.290101\pi\) |
−0.960205 | + | 0.279296i | \(0.909899\pi\) | |||||||
\(270\) | −304523. | − | 98945.6i | −0.0154714 | − | 0.00502696i | ||||
\(271\) | 116773. | + | 160724.i | 0.00586725 | + | 0.00807557i | 0.811941 | − | 0.583740i | \(-0.198411\pi\) |
−0.806073 | + | 0.591816i | \(0.798411\pi\) | |||||||
\(272\) | −1.59776e7 | + | 2.19913e7i | −0.793973 | + | 1.09281i | ||||
\(273\) | −5.66528e6 | − | 1.74359e7i | −0.278441 | − | 0.856954i | ||||
\(274\) | − | 425300.i | − | 0.0206749i | ||||||
\(275\) | 8.40938e6 | − | 1.32687e6i | 0.404358 | − | 0.0638012i | ||||
\(276\) | −6.30594e6 | −0.299932 | ||||||||
\(277\) | −1.64577e6 | + | 534744.i | −0.0774338 | + | 0.0251598i | −0.347478 | − | 0.937688i | \(-0.612962\pi\) |
0.270044 | + | 0.962848i | \(0.412962\pi\) | |||||||
\(278\) | 143086. | + | 103958.i | 0.00665984 | + | 0.00483866i | ||||
\(279\) | 3.65901e7 | − | 2.65842e7i | 1.68481 | − | 1.22409i | ||||
\(280\) | 181214. | − | 557719.i | 0.00825501 | − | 0.0254063i | ||||
\(281\) | 2.03407e7 | + | 6.60910e6i | 0.916742 | + | 0.297868i | 0.729130 | − | 0.684376i | \(-0.239925\pi\) |
0.187612 | + | 0.982243i | \(0.439925\pi\) | |||||||
\(282\) | 324603. | + | 446777.i | 0.0144745 | + | 0.0199225i | ||||
\(283\) | 2.52375e7 | − | 3.47365e7i | 1.11349 | − | 1.53259i | 0.297325 | − | 0.954776i | \(-0.403906\pi\) |
0.816168 | − | 0.577815i | \(-0.196094\pi\) | |||||||
\(284\) | 3.24371e6 | + | 9.98310e6i | 0.141608 | + | 0.435823i | ||||
\(285\) | 3.38527e7i | 1.46237i | ||||||||
\(286\) | −181960. | + | 1.14451e6i | −0.00777818 | + | 0.0489240i | ||||
\(287\) | −253922. | −0.0107413 | ||||||||
\(288\) | 3.54433e6 | − | 1.15162e6i | 0.148374 | − | 0.0482095i | ||||
\(289\) | 1.64190e7 | + | 1.19291e7i | 0.680226 | + | 0.494213i | ||||
\(290\) | 974992. | − | 708373.i | 0.0399767 | − | 0.0290448i | ||||
\(291\) | −3.99939e6 | + | 1.23089e7i | −0.162299 | + | 0.499504i | ||||
\(292\) | −1.66520e7 | − | 5.41055e6i | −0.668831 | − | 0.217316i | ||||
\(293\) | 3.82489e6 | + | 5.26450e6i | 0.152060 | + | 0.209293i | 0.878251 | − | 0.478201i | \(-0.158711\pi\) |
−0.726190 | + | 0.687494i | \(0.758711\pi\) | |||||||
\(294\) | −698247. | + | 961054.i | −0.0274769 | + | 0.0378186i | ||||
\(295\) | 3.57854e6 | + | 1.10136e7i | 0.139393 | + | 0.429006i | ||||
\(296\) | − | 5622.41i | − | 0.000216794i | ||||||
\(297\) | −6.56136e6 | − | 1.28961e7i | −0.250452 | − | 0.492252i | ||||
\(298\) | 1.00079e6 | 0.0378177 | ||||||||
\(299\) | 6.42575e6 | − | 2.08785e6i | 0.240386 | − | 0.0781063i | ||||
\(300\) | 1.37153e7 | + | 9.96471e6i | 0.507972 | + | 0.369063i | ||||
\(301\) | −6.76221e6 | + | 4.91303e6i | −0.247964 | + | 0.180156i | ||||
\(302\) | 272170. | − | 837654.i | 0.00988144 | − | 0.0304119i | ||||
\(303\) | −5.96858e7 | − | 1.93931e7i | −2.14557 | − | 0.697139i | ||||
\(304\) | −2.03660e7 | − | 2.80313e7i | −0.724910 | − | 0.997753i | ||||
\(305\) | −1.46600e7 | + | 2.01778e7i | −0.516696 | + | 0.711171i | ||||
\(306\) | −625938. | − | 1.92644e6i | −0.0218457 | − | 0.0672343i | ||||
\(307\) | − | 8.80217e6i | − | 0.304211i | −0.988364 | − | 0.152105i | \(-0.951395\pi\) | ||
0.988364 | − | 0.152105i | \(-0.0486053\pi\) | |||||||
\(308\) | 1.18006e7 | − | 6.00398e6i | 0.403878 | − | 0.205488i | ||||
\(309\) | −2.96006e7 | −1.00329 | ||||||||
\(310\) | −1.27830e6 | + | 415346.i | −0.0429091 | + | 0.0139420i | ||||
\(311\) | −1.64883e7 | − | 1.19794e7i | −0.548144 | − | 0.398250i | 0.278957 | − | 0.960304i | \(-0.410011\pi\) |
−0.827101 | + | 0.562054i | \(0.810011\pi\) | |||||||
\(312\) | −3.73671e6 | + | 2.71488e6i | −0.123034 | + | 0.0893895i | ||||
\(313\) | 1.09436e7 | − | 3.36810e7i | 0.356884 | − | 1.09838i | −0.598025 | − | 0.801478i | \(-0.704048\pi\) |
0.954909 | − | 0.296899i | \(-0.0959525\pi\) | |||||||
\(314\) | −917960. | − | 298263.i | −0.0296507 | − | 0.00963409i | ||||
\(315\) | −8.71136e6 | − | 1.19902e7i | −0.278711 | − | 0.383613i | ||||
\(316\) | 1.22401e7 | − | 1.68471e7i | 0.387904 | − | 0.533904i | ||||
\(317\) | 1.33091e7 | + | 4.09612e7i | 0.417802 | + | 1.28586i | 0.909721 | + | 0.415221i | \(0.136296\pi\) |
−0.491919 | + | 0.870641i | \(0.663704\pi\) | |||||||
\(318\) | 1.14748e6i | 0.0356833i | ||||||||
\(319\) | 5.37843e7 | + | 8.55089e6i | 1.65685 | + | 0.263414i | ||||
\(320\) | 2.49615e7 | 0.761766 | ||||||||
\(321\) | 7.51656e6 | − | 2.44228e6i | 0.227250 | − | 0.0738381i | ||||
\(322\) | 91861.6 | + | 66741.4i | 0.00275148 | + | 0.00199907i | ||||
\(323\) | −4.58196e7 | + | 3.32899e7i | −1.35970 | + | 0.987882i | ||||
\(324\) | −5.36468e6 | + | 1.65108e7i | −0.157728 | + | 0.485437i | ||||
\(325\) | −1.72751e7 | − | 5.61301e6i | −0.503234 | − | 0.163511i | ||||
\(326\) | −1.52429e6 | − | 2.09801e6i | −0.0439963 | − | 0.0605557i | ||||
\(327\) | 1.98932e7 | − | 2.73806e7i | 0.568932 | − | 0.783068i | ||||
\(328\) | 19768.6 | + | 60841.5i | 0.000560215 | + | 0.00172416i | ||||
\(329\) | 6.76010e6i | 0.189830i | ||||||||
\(330\) | 253411. | + | 1.60606e6i | 0.00705153 | + | 0.0446911i | ||||
\(331\) | 2.55492e7 | 0.704520 | 0.352260 | − | 0.935902i | \(-0.385413\pi\) | ||||
0.352260 | + | 0.935902i | \(0.385413\pi\) | |||||||
\(332\) | −3.85932e7 | + | 1.25397e7i | −1.05462 | + | 0.342668i | ||||
\(333\) | −114958. | − | 83521.7i | −0.00311319 | − | 0.00226187i | ||||
\(334\) | 686090. | − | 498473.i | 0.0184137 | − | 0.0133783i | ||||
\(335\) | 4.86501e6 | − | 1.49730e7i | 0.129405 | − | 0.398266i | ||||
\(336\) | 2.50381e7 | + | 8.13536e6i | 0.660059 | + | 0.214466i | ||||
\(337\) | 1.43978e7 | + | 1.98168e7i | 0.376188 | + | 0.517778i | 0.954570 | − | 0.297988i | \(-0.0963155\pi\) |
−0.578382 | + | 0.815766i | \(0.696316\pi\) | |||||||
\(338\) | 583477. | − | 803088.i | 0.0151103 | − | 0.0207976i | ||||
\(339\) | 953692. | + | 2.93516e6i | 0.0244799 | + | 0.0753413i | ||||
\(340\) | − | 4.09226e7i | − | 1.04118i | ||||||
\(341\) | −5.41018e7 | − | 2.76062e7i | −1.36442 | − | 0.696214i | ||||
\(342\) | 2.58191e6 | 0.0645450 | ||||||||
\(343\) | −3.12466e7 | + | 1.01526e7i | −0.774319 | + | 0.251592i | ||||
\(344\) | 1.70365e6 | + | 1.23778e6i | 0.0418510 | + | 0.0304065i | ||||
\(345\) | 7.66897e6 | − | 5.57183e6i | 0.186758 | − | 0.135688i | ||||
\(346\) | −269750. | + | 830206.i | −0.00651229 | + | 0.0200428i | ||||
\(347\) | 6.04267e7 | + | 1.96338e7i | 1.44624 | + | 0.469912i | 0.923837 | − | 0.382786i | \(-0.125035\pi\) |
0.522404 | + | 0.852698i | \(0.325035\pi\) | |||||||
\(348\) | 6.37436e7 | + | 8.77355e7i | 1.51251 | + | 2.08179i | ||||
\(349\) | −1.38623e7 | + | 1.90798e7i | −0.326106 | + | 0.448846i | −0.940319 | − | 0.340294i | \(-0.889473\pi\) |
0.614213 | + | 0.789140i | \(0.289473\pi\) | |||||||
\(350\) | −94331.2 | − | 290322.i | −0.00220014 | − | 0.00677135i | ||||
\(351\) | 3.08714e7i | 0.713896i | ||||||||
\(352\) | −3.53682e6 | − | 3.54097e6i | −0.0810933 | − | 0.0811884i | ||||
\(353\) | 7.24035e7 | 1.64602 | 0.823011 | − | 0.568025i | \(-0.192292\pi\) | ||||
0.823011 | + | 0.568025i | \(0.192292\pi\) | |||||||
\(354\) | 1.45785e6 | − | 473683.i | 0.0328626 | − | 0.0106777i | ||||
\(355\) | −1.27658e7 | − | 9.27486e6i | −0.285339 | − | 0.207311i | ||||
\(356\) | 2.99294e7 | − | 2.17450e7i | 0.663359 | − | 0.481959i | ||||
\(357\) | 1.32979e7 | − | 4.09269e7i | 0.292267 | − | 0.899505i | ||||
\(358\) | −581940. | − | 189084.i | −0.0126832 | − | 0.00412102i | ||||
\(359\) | −5.02332e7 | − | 6.91400e7i | −1.08569 | − | 1.49433i | −0.853095 | − | 0.521755i | \(-0.825277\pi\) |
−0.232598 | − | 0.972573i | \(-0.574723\pi\) | |||||||
\(360\) | −2.19472e6 | + | 3.02077e6i | −0.0470404 | + | 0.0647456i | ||||
\(361\) | −7.77045e6 | − | 2.39150e7i | −0.165168 | − | 0.508333i | ||||
\(362\) | − | 1.07130e6i | − | 0.0225833i | ||||||
\(363\) | −4.32567e7 | + | 5.93912e7i | −0.904343 | + | 1.24166i | ||||
\(364\) | −2.82489e7 | −0.585731 | ||||||||
\(365\) | 2.50320e7 | − | 8.13338e6i | 0.514774 | − | 0.167260i | ||||
\(366\) | 2.67089e6 | + | 1.94051e6i | 0.0544769 | + | 0.0395798i | ||||
\(367\) | −4.15661e7 | + | 3.01995e7i | −0.840893 | + | 0.610945i | −0.922620 | − | 0.385710i | \(-0.873956\pi\) |
0.0817270 | + | 0.996655i | \(0.473956\pi\) | |||||||
\(368\) | −2.99816e6 | + | 9.22738e6i | −0.0601605 | + | 0.185155i | ||||
\(369\) | 1.53765e6 | + | 499613.i | 0.0306041 | + | 0.00994386i | ||||
\(370\) | 2482.11 | + | 3416.34i | 4.90023e−5 | + | 6.74459e-5i | ||||
\(371\) | −8.25629e6 | + | 1.13638e7i | −0.161683 | + | 0.222537i | ||||
\(372\) | −3.73753e7 | − | 1.15029e8i | −0.726032 | − | 2.23450i | ||||
\(373\) | − | 5.84663e6i | − | 0.112662i | −0.998412 | − | 0.0563312i | \(-0.982060\pi\) | ||
0.998412 | − | 0.0563312i | \(-0.0179403\pi\) | |||||||
\(374\) | −1.92461e6 | + | 1.92236e6i | −0.0367898 | + | 0.0367467i | ||||
\(375\) | −8.77389e7 | −1.66379 | ||||||||
\(376\) | 1.61977e6 | − | 526294.i | 0.0304711 | − | 0.00990067i | ||||
\(377\) | −9.40033e7 | − | 6.82974e7i | −1.75436 | − | 1.27462i | ||||
\(378\) | −419733. | + | 304954.i | −0.00777137 | + | 0.00564623i | ||||
\(379\) | −1.06139e7 | + | 3.26663e7i | −0.194966 | + | 0.600044i | 0.805011 | + | 0.593260i | \(0.202159\pi\) |
−0.999977 | + | 0.00678382i | \(0.997841\pi\) | |||||||
\(380\) | 4.96092e7 | + | 1.61190e7i | 0.904090 | + | 0.293757i | ||||
\(381\) | 5.67498e7 | + | 7.81094e7i | 1.02610 | + | 1.41231i | ||||
\(382\) | −222994. | + | 306925.i | −0.00400039 | + | 0.00550607i | ||||
\(383\) | 8.50650e6 | + | 2.61803e7i | 0.151410 | + | 0.465992i | 0.997779 | − | 0.0666042i | \(-0.0212165\pi\) |
−0.846369 | + | 0.532596i | \(0.821216\pi\) | |||||||
\(384\) | − | 1.32848e7i | − | 0.234619i | ||||||
\(385\) | −9.04623e6 | + | 1.77285e7i | −0.158521 | + | 0.310664i | ||||
\(386\) | 1.86100e6 | 0.0323581 | ||||||||
\(387\) | 5.06160e7 | − | 1.64461e7i | 0.873283 | − | 0.283747i | ||||
\(388\) | 1.61336e7 | + | 1.17218e7i | 0.276208 | + | 0.200677i | ||||
\(389\) | 321613. | − | 233666.i | 0.00546368 | − | 0.00396960i | −0.585050 | − | 0.810997i | \(-0.698925\pi\) |
0.590514 | + | 0.807028i | \(0.298925\pi\) | |||||||
\(390\) | 1.07200e6 | − | 3.29927e6i | 0.0180718 | − | 0.0556192i | ||||
\(391\) | 1.50830e7 | + | 4.90075e6i | 0.252323 | + | 0.0819846i | ||||
\(392\) | 2.15338e6 | + | 2.96388e6i | 0.0357489 | + | 0.0492042i | ||||
\(393\) | 8.48292e7 | − | 1.16757e8i | 1.39755 | − | 1.92356i | ||||
\(394\) | 750180. | + | 2.30882e6i | 0.0122653 | + | 0.0377486i | ||||
\(395\) | 3.13038e7i | 0.507932i | ||||||||
\(396\) | −8.32728e7 | + | 1.31391e7i | −1.34097 | + | 0.211583i | ||||
\(397\) | 2.90058e7 | 0.463567 | 0.231784 | − | 0.972767i | \(-0.425544\pi\) | ||||
0.231784 | + | 0.972767i | \(0.425544\pi\) | |||||||
\(398\) | −1.73133e6 | + | 562542.i | −0.0274618 | + | 0.00892290i | ||||
\(399\) | 4.43764e7 | + | 3.22414e7i | 0.698608 | + | 0.507568i | ||||
\(400\) | 2.11021e7 | − | 1.53316e7i | 0.329721 | − | 0.239556i | ||||
\(401\) | 3.37396e7 | − | 1.03840e8i | 0.523247 | − | 1.61039i | −0.244510 | − | 0.969647i | \(-0.578627\pi\) |
0.767757 | − | 0.640741i | \(-0.221373\pi\) | |||||||
\(402\) | −1.98194e6 | − | 643970.i | −0.0305078 | − | 0.00991260i | ||||
\(403\) | 7.61708e7 | + | 1.04840e8i | 1.16379 | + | 1.60182i | ||||
\(404\) | −5.68390e7 | + | 7.82322e7i | −0.861990 | + | 1.18643i | ||||
\(405\) | −8.06443e6 | − | 2.48198e7i | −0.121397 | − | 0.373622i | ||||
\(406\) | − | 1.95274e6i | − | 0.0291787i | ||||||
\(407\) | −29962.0 | + | 188458.i | −0.000444414 | + | 0.00279532i | ||||
\(408\) | −1.08416e7 | −0.159630 | ||||||||
\(409\) | −7.03465e7 | + | 2.28570e7i | −1.02819 | + | 0.334079i | −0.774074 | − | 0.633095i | \(-0.781784\pi\) |
−0.254115 | + | 0.967174i | \(0.581784\pi\) | |||||||
\(410\) | −38871.5 | − | 28241.8i | −0.000564001 | − | 0.000409771i | ||||
\(411\) | −4.65433e7 | + | 3.38157e7i | −0.670396 | + | 0.487071i | ||||
\(412\) | −1.40944e7 | + | 4.33781e7i | −0.201537 | + | 0.620267i | ||||
\(413\) | 1.78456e7 | + | 5.79839e6i | 0.253327 | + | 0.0823108i | ||||
\(414\) | −424958. | − | 584904.i | −0.00598887 | − | 0.00824297i | ||||
\(415\) | 3.58553e7 | − | 4.93506e7i | 0.501659 | − | 0.690475i | ||||
\(416\) | 3.29970e6 | + | 1.01554e7i | 0.0458347 | + | 0.141065i | ||||
\(417\) | − | 2.39246e7i | − | 0.329941i | ||||||
\(418\) | −1.57233e6 | − | 3.09034e6i | −0.0215285 | − | 0.0423133i | ||||
\(419\) | 5.77137e7 | 0.784579 | 0.392289 | − | 0.919842i | \(-0.371683\pi\) | ||||
0.392289 | + | 0.919842i | \(0.371683\pi\) | |||||||
\(420\) | −3.76938e7 | + | 1.22475e7i | −0.508771 | + | 0.165310i | ||||
\(421\) | 5.48349e7 | + | 3.98399e7i | 0.734871 | + | 0.533915i | 0.891101 | − | 0.453806i | \(-0.149934\pi\) |
−0.156230 | + | 0.987721i | \(0.549934\pi\) | |||||||
\(422\) | −1.24360e6 | + | 903526.i | −0.0165479 | + | 0.0120227i | ||||
\(423\) | 1.33011e7 | − | 4.09365e7i | 0.175738 | − | 0.540866i | ||||
\(424\) | 3.36562e6 | + | 1.09356e6i | 0.0441537 | + | 0.0143464i | ||||
\(425\) | −2.50608e7 | − | 3.44933e7i | −0.326459 | − | 0.449332i | ||||
\(426\) | −1.22769e6 | + | 1.68977e6i | −0.0158804 | + | 0.0218574i | ||||
\(427\) | 1.24882e7 | + | 3.84347e7i | 0.160404 | + | 0.493674i | ||||
\(428\) | − | 1.21780e7i | − | 0.155326i | ||||||
\(429\) | 1.39719e8 | − | 7.10872e7i | 1.76963 | − | 0.900367i | ||||
\(430\) | −1.58163e6 | −0.0198929 | ||||||||
\(431\) | −9.15376e6 | + | 2.97424e6i | −0.114332 | + | 0.0371487i | −0.365624 | − | 0.930763i | \(-0.619144\pi\) |
0.251292 | + | 0.967911i | \(0.419144\pi\) | |||||||
\(432\) | −3.58649e7 | − | 2.60573e7i | −0.444854 | − | 0.323206i | ||||
\(433\) | −6.80347e7 | + | 4.94301e7i | −0.838043 | + | 0.608874i | −0.921823 | − | 0.387610i | \(-0.873301\pi\) |
0.0837800 | + | 0.996484i | \(0.473301\pi\) | |||||||
\(434\) | −672995. | + | 2.07126e6i | −0.00823270 | + | 0.0253377i | ||||
\(435\) | −1.55044e8 | − | 5.03767e7i | −1.88359 | − | 0.612015i | ||||
\(436\) | −3.06526e7 | − | 4.21896e7i | −0.369834 | − | 0.509033i | ||||
\(437\) | −1.18820e7 | + | 1.63542e7i | −0.142379 | + | 0.195968i | ||||
\(438\) | −1.07660e6 | − | 3.31342e6i | −0.0128124 | − | 0.0394325i | ||||
\(439\) | 1.83741e7i | 0.217176i | 0.994087 | + | 0.108588i | \(0.0346330\pi\) | ||||
−0.994087 | + | 0.108588i | \(0.965367\pi\) | |||||||
\(440\) | 4.95215e6 | + | 787318.i | 0.0581348 | + | 0.00924256i | ||||
\(441\) | 9.25893e7 | 1.07956 | ||||||||
\(442\) | 5.51975e6 | − | 1.79348e6i | 0.0639223 | − | 0.0207696i | ||||
\(443\) | −9.80420e7 | − | 7.12317e7i | −1.12772 | − | 0.819336i | −0.142358 | − | 0.989815i | \(-0.545468\pi\) |
−0.985361 | + | 0.170479i | \(0.945468\pi\) | |||||||
\(444\) | −307422. | + | 223355.i | −0.00351226 | + | 0.00255180i | ||||
\(445\) | −1.71851e7 | + | 5.28904e7i | −0.195017 | + | 0.600201i | ||||
\(446\) | 2.91392e6 | + | 946789.i | 0.0328453 | + | 0.0106721i | ||||
\(447\) | −7.95733e7 | − | 1.09523e8i | −0.890932 | − | 1.22626i | ||||
\(448\) | 2.37734e7 | − | 3.27213e7i | 0.264398 | − | 0.363912i | ||||
\(449\) | 4.22362e7 | + | 1.29990e8i | 0.466601 | + | 1.43605i | 0.856958 | + | 0.515387i | \(0.172352\pi\) |
−0.390356 | + | 0.920664i | \(0.627648\pi\) | |||||||
\(450\) | 1.94368e6i | 0.0213298i | ||||||||
\(451\) | −338399. | − | 2.14470e6i | −0.00368892 | − | 0.0233796i | ||||
\(452\) | 4.75542e6 | 0.0514960 | ||||||||
\(453\) | −1.13310e8 | + | 3.68167e7i | −1.21892 | + | 0.396050i | ||||
\(454\) | 1.83933e6 | + | 1.33635e6i | 0.0196559 | + | 0.0142808i | ||||
\(455\) | 3.43550e7 | − | 2.49603e7i | 0.364716 | − | 0.264982i | ||||
\(456\) | 4.27041e6 | − | 1.31430e7i | 0.0450376 | − | 0.138611i | ||||
\(457\) | −9.99528e7 | − | 3.24766e7i | −1.04724 | − | 0.340269i | −0.265656 | − | 0.964068i | \(-0.585588\pi\) |
−0.781585 | + | 0.623799i | \(0.785588\pi\) | |||||||
\(458\) | −270448. | − | 372240.i | −0.00281506 | − | 0.00387460i | ||||
\(459\) | −4.25930e7 | + | 5.86242e7i | −0.440453 | + | 0.606232i | ||||
\(460\) | −4.51362e6 | − | 1.38915e7i | −0.0463715 | − | 0.142717i | ||||
\(461\) | 7.65517e7i | 0.781362i | 0.920526 | + | 0.390681i | \(0.127760\pi\) | ||||
−0.920526 | + | 0.390681i | \(0.872240\pi\) | |||||||
\(462\) | 2.34669e6 | + | 1.19743e6i | 0.0237974 | + | 0.0121429i | ||||
\(463\) | −3.95543e7 | −0.398521 | −0.199261 | − | 0.979947i | \(-0.563854\pi\) | ||||
−0.199261 | + | 0.979947i | \(0.563854\pi\) | |||||||
\(464\) | 1.58689e8 | − | 5.15612e7i | 1.58852 | − | 0.516142i | ||||
\(465\) | 1.47092e8 | + | 1.06869e8i | 1.46295 | + | 1.06290i | ||||
\(466\) | −4.41302e6 | + | 3.20625e6i | −0.0436092 | + | 0.0316840i | ||||
\(467\) | 4.63425e7 | − | 1.42627e8i | 0.455018 | − | 1.40040i | −0.416096 | − | 0.909321i | \(-0.636602\pi\) |
0.871114 | − | 0.491081i | \(-0.163398\pi\) | |||||||
\(468\) | 1.71064e8 | + | 5.55821e7i | 1.66887 | + | 0.542248i | ||||
\(469\) | −1.49941e7 | − | 2.06377e7i | −0.145346 | − | 0.200052i | ||||
\(470\) | −751874. | + | 1.03487e6i | −0.00724188 | + | 0.00996759i | ||||
\(471\) | 4.03463e7 | + | 1.24173e8i | 0.386137 | + | 1.18841i | ||||
\(472\) | − | 4.72735e6i | − | 0.0449564i | ||||||
\(473\) | −5.05087e7 | − | 5.05680e7i | −0.477291 | − | 0.477850i | ||||
\(474\) | 4.14360e6 | 0.0389084 | ||||||||
\(475\) | 5.16863e7 | − | 1.67939e7i | 0.482275 | − | 0.156701i | ||||
\(476\) | −5.36442e7 | − | 3.89748e7i | −0.497395 | − | 0.361379i | ||||
\(477\) | 7.23560e7 | − | 5.25697e7i | 0.666683 | − | 0.484374i | ||||
\(478\) | −1.22051e6 | + | 3.75636e6i | −0.0111753 | + | 0.0343940i | ||||
\(479\) | −2.14571e7 | − | 6.97183e6i | −0.195238 | − | 0.0634366i | 0.209766 | − | 0.977752i | \(-0.432730\pi\) |
−0.405004 | + | 0.914315i | \(0.632730\pi\) | |||||||
\(480\) | 8.80589e6 | + | 1.21203e7i | 0.0796250 | + | 0.109594i | ||||
\(481\) | 239312. | − | 329384.i | 0.00215045 | − | 0.00295984i | ||||
\(482\) | −1.40072e6 | − | 4.31098e6i | −0.0125087 | − | 0.0384977i | ||||
\(483\) | − | 1.53596e7i | − | 0.136314i | ||||||
\(484\) | 6.64378e7 | + | 9.16694e7i | 0.585975 | + | 0.808516i | ||||
\(485\) | −2.99781e7 | −0.262772 | ||||||||
\(486\) | −5.59621e6 | + | 1.81832e6i | −0.0487512 | + | 0.0158402i | ||||
\(487\) | 6.54258e7 | + | 4.75346e7i | 0.566450 | + | 0.411550i | 0.833814 | − | 0.552045i | \(-0.186152\pi\) |
−0.267364 | + | 0.963596i | \(0.586152\pi\) | |||||||
\(488\) | 8.23697e6 | − | 5.98451e6i | 0.0708775 | − | 0.0514955i | ||||
\(489\) | −1.08402e8 | + | 3.33627e8i | −0.927065 | + | 2.85321i | ||||
\(490\) | −2.61691e6 | − | 850287.i | −0.0222434 | − | 0.00722732i | ||||
\(491\) | −6.08731e6 | − | 8.37847e6i | −0.0514258 | − | 0.0707816i | 0.782530 | − | 0.622613i | \(-0.213929\pi\) |
−0.833955 | + | 0.551832i | \(0.813929\pi\) | |||||||
\(492\) | 2.54137e6 | − | 3.49789e6i | 0.0213389 | − | 0.0293705i | ||||
\(493\) | −8.42812e7 | − | 2.59391e8i | −0.703380 | − | 2.16478i | ||||
\(494\) | 7.39785e6i | 0.0613656i | ||||||||
\(495\) | 8.96628e7 | − | 8.95578e7i | 0.739259 | − | 0.738393i | ||||
\(496\) | −1.86091e8 | −1.52504 | ||||||||
\(497\) | −2.43162e7 | + | 7.90083e6i | −0.198074 | + | 0.0643581i | ||||
\(498\) | −6.53242e6 | − | 4.74608e6i | −0.0528915 | − | 0.0384279i | ||||
\(499\) | 1.81132e8 | − | 1.31600e8i | 1.45778 | − | 1.05914i | 0.473850 | − | 0.880605i | \(-0.342864\pi\) |
0.983933 | − | 0.178537i | \(-0.0571363\pi\) | |||||||
\(500\) | −4.17770e7 | + | 1.28576e8i | −0.334216 | + | 1.02861i | ||||
\(501\) | −1.09102e8 | − | 3.54495e7i | −0.867602 | − | 0.281901i | ||||
\(502\) | −2.54878e6 | − | 3.50809e6i | −0.0201475 | − | 0.0277306i | ||||
\(503\) | −1.41546e8 | + | 1.94821e8i | −1.11223 | + | 1.53085i | −0.294134 | + | 0.955764i | \(0.595031\pi\) |
−0.818094 | + | 0.575085i | \(0.804969\pi\) | |||||||
\(504\) | 1.86958e6 | + | 5.75397e6i | 0.0146033 | + | 0.0449445i | ||||
\(505\) | − | 1.45364e8i | − | 1.12871i | ||||||
\(506\) | −441293. | + | 864834.i | −0.00340625 | + | 0.00667546i | ||||
\(507\) | −1.34279e8 | −1.03035 | ||||||||
\(508\) | 1.41487e8 | − | 4.59718e7i | 1.07925 | − | 0.350671i | ||||
\(509\) | 1.02067e8 | + | 7.41562e7i | 0.773986 | + | 0.562334i | 0.903168 | − | 0.429287i | \(-0.141235\pi\) |
−0.129182 | + | 0.991621i | \(0.541235\pi\) | |||||||
\(510\) | 6.58768e6 | − | 4.78623e6i | 0.0496618 | − | 0.0360814i | ||||
\(511\) | 1.31787e7 | − | 4.05598e7i | 0.0987665 | − | 0.303972i | ||||
\(512\) | −2.43173e7 | − | 7.90117e6i | −0.181178 | − | 0.0588683i | ||||
\(513\) | −5.42913e7 | − | 7.47256e7i | −0.402141 | − | 0.553500i | ||||
\(514\) | 5.25177e6 | − | 7.22844e6i | 0.0386738 | − | 0.0532299i | ||||
\(515\) | −2.11873e7 | − | 6.52079e7i | −0.155115 | − | 0.477396i | ||||
\(516\) | − | 1.42324e8i | − | 1.03593i | ||||||
\(517\) | −5.70977e7 | + | 9.00910e6i | −0.413188 | + | 0.0651944i | ||||
\(518\) | 6842.33 | 4.92283e−5 | ||||||||
\(519\) | 1.12303e8 | − | 3.64893e7i | 0.803319 | − | 0.261014i | ||||
\(520\) | −8.65530e6 | − | 6.28844e6i | −0.0615562 | − | 0.0447232i | ||||
\(521\) | 3.75793e7 | − | 2.73030e7i | 0.265727 | − | 0.193062i | −0.446941 | − | 0.894563i | \(-0.647487\pi\) |
0.712668 | + | 0.701501i | \(0.247487\pi\) | |||||||
\(522\) | −3.84218e6 | + | 1.18250e7i | −0.0270126 | + | 0.0831362i | ||||
\(523\) | 1.50748e8 | + | 4.89809e7i | 1.05377 | + | 0.342391i | 0.784147 | − | 0.620575i | \(-0.213101\pi\) |
0.269623 | + | 0.962966i | \(0.413101\pi\) | |||||||
\(524\) | −1.30710e8 | − | 1.79907e8i | −0.908478 | − | 1.25041i | ||||
\(525\) | −2.42715e7 | + | 3.34068e7i | −0.167733 | + | 0.230864i | ||||
\(526\) | −1.77960e6 | − | 5.47704e6i | −0.0122283 | − | 0.0376347i | ||||
\(527\) | 3.04182e8i | 2.07827i | ||||||||
\(528\) | −3.53456e7 | + | 2.22320e8i | −0.240123 | + | 1.51035i | ||||
\(529\) | −1.42375e8 | −0.961762 | ||||||||
\(530\) | −2.52782e6 | + | 821337.i | −0.0169792 | + | 0.00551689i | ||||
\(531\) | −9.66570e7 | − | 7.02254e7i | −0.645579 | − | 0.469041i | ||||
\(532\) | 6.83778e7 | − | 4.96794e7i | 0.454130 | − | 0.329945i | ||||
\(533\) | −1.43152e6 | + | 4.40578e6i | −0.00945403 | + | 0.0290965i | ||||
\(534\) | 7.00098e6 | + | 2.27476e6i | 0.0459764 | + | 0.0149386i | ||||
\(535\) | 1.07603e7 | + | 1.48103e7i | 0.0702689 | + | 0.0967168i | ||||
\(536\) | −3.77759e6 | + | 5.19940e6i | −0.0245313 | + | 0.0337644i | ||||
\(537\) | 2.55775e7 | + | 7.87195e7i | 0.165172 | + | 0.508346i | ||||
\(538\) | 6.71220e6i | 0.0431040i | ||||||||
\(539\) | −5.63848e7 | − | 1.10822e8i | −0.360078 | − | 0.707717i | ||||
\(540\) | 6.67392e7 | 0.423838 | ||||||||
\(541\) | −5.28153e7 | + | 1.71607e7i | −0.333555 | + | 0.108379i | −0.471006 | − | 0.882130i | \(-0.656109\pi\) |
0.137451 | + | 0.990509i | \(0.456109\pi\) | |||||||
\(542\) | 49278.3 | + | 35802.8i | 0.000309498 | + | 0.000224863i | ||||
\(543\) | −1.17240e8 | + | 8.51796e7i | −0.732277 | + | 0.532030i | ||||
\(544\) | −7.74529e6 | + | 2.38376e7i | −0.0481106 | + | 0.148069i | ||||
\(545\) | 7.45563e7 | + | 2.42248e7i | 0.460569 | + | 0.149648i | ||||
\(546\) | −3.30394e6 | − | 4.54748e6i | −0.0202980 | − | 0.0279379i | ||||
\(547\) | 9.93540e7 | − | 1.36749e8i | 0.607048 | − | 0.835531i | −0.389282 | − | 0.921119i | \(-0.627277\pi\) |
0.996331 | + | 0.0855880i | \(0.0272769\pi\) | |||||||
\(548\) | 2.73933e7 | + | 8.43080e7i | 0.166457 | + | 0.512303i | ||||
\(549\) | − | 2.57317e8i | − | 1.55507i | ||||||
\(550\) | 2.32642e6 | − | 1.18366e6i | 0.0139830 | − | 0.00711439i | ||||
\(551\) | 3.47649e8 | 2.07819 | ||||||||
\(552\) | −3.68027e6 | + | 1.19579e6i | −0.0218808 | + | 0.00710949i | ||||
\(553\) | 4.10351e7 | + | 2.98138e7i | 0.242650 | + | 0.176296i | ||||
\(554\) | −429235. | + | 311858.i | −0.00252445 | + | 0.00183412i | ||||
\(555\) | 176518. | − | 543267.i | 0.00103255 | − | 0.00317786i | ||||
\(556\) | −3.50602e7 | − | 1.13917e7i | −0.203981 | − | 0.0662774i | ||||
\(557\) | 1.10518e8 | + | 1.52114e8i | 0.639537 | + | 0.880248i | 0.998591 | − | 0.0530694i | \(-0.0169005\pi\) |
−0.359054 | + | 0.933317i | \(0.616900\pi\) | |||||||
\(558\) | 8.15077e6 | − | 1.12186e7i | 0.0469133 | − | 0.0645706i | ||||
\(559\) | 4.71225e7 | + | 1.45028e8i | 0.269769 | + | 0.830265i | ||||
\(560\) | 6.09799e7i | 0.347234i | ||||||||
\(561\) | 3.63402e8 | + | 5.77754e7i | 2.05825 | + | 0.327231i | ||||
\(562\) | 6.55744e6 | 0.0369424 | ||||||||
\(563\) | −5.60393e7 | + | 1.82083e7i | −0.314027 | + | 0.102034i | −0.461790 | − | 0.886989i | \(-0.652793\pi\) |
0.147763 | + | 0.989023i | \(0.452793\pi\) | |||||||
\(564\) | −9.31233e7 | − | 6.76581e7i | −0.519064 | − | 0.377122i | ||||
\(565\) | −5.78331e6 | + | 4.20182e6i | −0.0320650 | + | 0.0232966i | ||||
\(566\) | 4.06804e6 | − | 1.25201e7i | 0.0224355 | − | 0.0690493i | ||||
\(567\) | −4.02160e7 | − | 1.30670e7i | −0.220622 | − | 0.0716846i | ||||
\(568\) | 3.78618e6 | + | 5.21123e6i | 0.0206612 | + | 0.0284378i | ||||
\(569\) | −6.37227e7 | + | 8.77068e7i | −0.345906 | + | 0.476098i | −0.946155 | − | 0.323715i | \(-0.895068\pi\) |
0.600249 | + | 0.799813i | \(0.295068\pi\) | |||||||
\(570\) | 3.20738e6 | + | 9.87129e6i | 0.0173191 | + | 0.0533027i | ||||
\(571\) | 7.34263e7i | 0.394406i | 0.980363 | + | 0.197203i | \(0.0631858\pi\) | ||||
−0.980363 | + | 0.197203i | \(0.936814\pi\) | |||||||
\(572\) | −3.76470e7 | − | 2.38598e8i | −0.201160 | − | 1.27491i | ||||
\(573\) | 5.13190e7 | 0.272781 | ||||||||
\(574\) | −74042.6 | + | 24057.9i | −0.000391513 | + | 0.000127210i | ||||
\(575\) | −1.23116e7 | − | 8.94487e6i | −0.0647604 | − | 0.0470512i | ||||
\(576\) | −2.08344e8 | + | 1.51371e8i | −1.09022 | + | 0.792091i | ||||
\(577\) | 6.03560e6 | − | 1.85757e7i | 0.0314190 | − | 0.0966978i | −0.934117 | − | 0.356966i | \(-0.883811\pi\) |
0.965536 | + | 0.260269i | \(0.0838111\pi\) | |||||||
\(578\) | 5.91793e6 | + | 1.92285e6i | 0.0306469 | + | 0.00995778i | ||||
\(579\) | −1.47968e8 | − | 2.03661e8i | −0.762312 | − | 1.04923i | ||||
\(580\) | −1.47649e8 | + | 2.03221e8i | −0.756737 | + | 1.04156i | ||||
\(581\) | −3.05435e7 | − | 9.40031e7i | −0.155736 | − | 0.479307i | ||||
\(582\) | 3.96813e6i | 0.0201287i | ||||||||
\(583\) | −1.06985e8 | − | 5.45905e7i | −0.539905 | − | 0.275494i | ||||
\(584\) | −1.07444e7 | −0.0539441 | ||||||||
\(585\) | −2.57151e8 | + | 8.35536e7i | −1.28446 | + | 0.417347i | ||||
\(586\) | 1.61411e6 | + | 1.17272e6i | 0.00802119 | + | 0.00582774i | ||||
\(587\) | 1.94678e7 | − | 1.41442e7i | 0.0962506 | − | 0.0699301i | −0.538619 | − | 0.842549i | \(-0.681054\pi\) |
0.634870 | + | 0.772619i | \(0.281054\pi\) | |||||||
\(588\) | 7.65138e7 | − | 2.35485e8i | 0.376364 | − | 1.15833i | ||||
\(589\) | −3.68750e8 | − | 1.19814e8i | −1.80462 | − | 0.586357i | ||||
\(590\) | 2.08697e6 | + | 2.87247e6i | 0.0101616 | + | 0.0139862i | ||||
\(591\) | 1.93022e8 | − | 2.65672e8i | 0.935069 | − | 1.28701i | ||||
\(592\) | 180669. | + | 556041.i | 0.000870798 | + | 0.00268004i | ||||
\(593\) | − | 4.45741e7i | − | 0.213756i | −0.994272 | − | 0.106878i | \(-0.965915\pi\) | ||
0.994272 | − | 0.106878i | \(-0.0340855\pi\) | |||||||
\(594\) | −3.13510e6 | − | 3.13877e6i | −0.0149586 | − | 0.0149762i | ||||
\(595\) | 9.96769e7 | 0.473199 | ||||||||
\(596\) | −1.98389e8 | + | 6.44606e7i | −0.937086 | + | 0.304478i | ||||
\(597\) | 1.99221e8 | + | 1.44742e8i | 0.936292 | + | 0.680256i | ||||
\(598\) | 1.67590e6 | − | 1.21762e6i | 0.00783692 | − | 0.00569386i | ||||
\(599\) | 8.66460e7 | − | 2.66669e8i | 0.403151 | − | 1.24077i | −0.519278 | − | 0.854605i | \(-0.673799\pi\) |
0.922429 | − | 0.386166i | \(-0.126201\pi\) | |||||||
\(600\) | 9.89410e6 | + | 3.21479e6i | 0.0458060 | + | 0.0148833i | ||||
\(601\) | 1.50631e8 | + | 2.07326e8i | 0.693891 | + | 0.955060i | 0.999995 | + | 0.00306146i | \(0.000974495\pi\) |
−0.306104 | + | 0.951998i | \(0.599026\pi\) | |||||||
\(602\) | −1.50634e6 | + | 2.07330e6i | −0.00690453 | + | 0.00950327i | ||||
\(603\) | 5.01922e7 | + | 1.54476e8i | 0.228920 | + | 0.704544i | ||||
\(604\) | 1.83580e8i | 0.833134i | ||||||||
\(605\) | −1.61796e8 | − | 5.27804e7i | −0.730637 | − | 0.238345i | ||||
\(606\) | −1.92415e7 | −0.0864612 | ||||||||
\(607\) | 1.85710e8 | − | 6.03408e7i | 0.830365 | − | 0.269802i | 0.137166 | − | 0.990548i | \(-0.456201\pi\) |
0.693199 | + | 0.720746i | \(0.256201\pi\) | |||||||
\(608\) | −2.58467e7 | − | 1.87787e7i | −0.114999 | − | 0.0835518i | ||||
\(609\) | −2.13701e8 | + | 1.55263e8i | −0.946138 | + | 0.687410i | ||||
\(610\) | −2.36305e6 | + | 7.27272e6i | −0.0104108 | + | 0.0320411i | ||||
\(611\) | 1.17294e8 | + | 3.81110e7i | 0.514223 | + | 0.167081i | ||||
\(612\) | 2.48162e8 | + | 3.41565e8i | 1.08263 | + | 1.49011i | ||||
\(613\) | 1.78869e8 | − | 2.46193e8i | 0.776524 | − | 1.06879i | −0.219133 | − | 0.975695i | \(-0.570323\pi\) |
0.995657 | − | 0.0930984i | \(-0.0296771\pi\) | |||||||
\(614\) | −833963. | − | 2.56667e6i | −0.00360281 | − | 0.0110883i | ||||
\(615\) | 6.49947e6i | 0.0279417i | ||||||||
\(616\) | 5.74851e6 | − | 5.74178e6i | 0.0245931 | − | 0.0245643i | ||||
\(617\) | −2.59209e8 | −1.10356 | −0.551779 | − | 0.833991i | \(-0.686051\pi\) | ||||
−0.551779 | + | 0.833991i | \(0.686051\pi\) | |||||||
\(618\) | −8.63141e6 | + | 2.80452e6i | −0.0365693 | + | 0.0118821i | ||||
\(619\) | −2.84851e8 | − | 2.06957e8i | −1.20101 | − | 0.872584i | −0.206625 | − | 0.978420i | \(-0.566248\pi\) |
−0.994384 | + | 0.105836i | \(0.966248\pi\) | |||||||
\(620\) | 2.26648e8 | − | 1.64670e8i | 0.950994 | − | 0.690937i | ||||
\(621\) | −7.99245e6 | + | 2.45982e7i | −0.0333738 | + | 0.102714i | ||||
\(622\) | −5.94290e6 | − | 1.93097e6i | −0.0246960 | − | 0.00802423i | ||||
\(623\) | 5.29652e7 | + | 7.29004e7i | 0.219042 | + | 0.301485i | ||||
\(624\) | 2.82311e8 | − | 3.88568e8i | 1.16191 | − | 1.59924i | ||||
\(625\) | −3.19174e7 | − | 9.82318e7i | −0.130734 | − | 0.402357i | ||||
\(626\) | − | 1.08581e7i | − | 0.0442618i | ||||||
\(627\) | −2.13180e8 | + | 4.17783e8i | −0.864855 | + | 1.69492i | ||||
\(628\) | 2.01180e8 | 0.812279 | ||||||||
\(629\) | 908896. | − | 295318.i | 0.00365227 | − | 0.00118669i | ||||
\(630\) | −3.67620e6 | − | 2.67092e6i | −0.0147020 | − | 0.0106817i | ||||
\(631\) | −3.31399e8 | + | 2.40776e8i | −1.31906 | + | 0.958351i | −0.319113 | + | 0.947717i | \(0.603385\pi\) |
−0.999943 | + | 0.0106344i | \(0.996615\pi\) | |||||||
\(632\) | 3.94887e6 | − | 1.21534e7i | 0.0156431 | − | 0.0481444i | ||||
\(633\) | 1.97757e8 | + | 6.42552e7i | 0.779689 | + | 0.253336i | ||||
\(634\) | 7.76174e6 | + | 1.06831e7i | 0.0304573 | + | 0.0419209i | ||||
\(635\) | −1.31449e8 | + | 1.80924e8i | −0.513376 | + | 0.706602i | ||||
\(636\) | −7.39088e7 | − | 2.27468e8i | −0.287293 | − | 0.884196i | ||||
\(637\) | 2.65293e8i | 1.02638i | ||||||||
\(638\) | 1.64934e7 | − | 2.60239e6i | 0.0635109 | − | 0.0100210i | ||||
\(639\) | 1.62795e8 | 0.623934 | ||||||||
\(640\) | 2.92655e7 | − | 9.50893e6i | 0.111639 | − | 0.0362737i | ||||
\(641\) | 4.00500e7 | + | 2.90980e7i | 0.152065 | + | 0.110481i | 0.661216 | − | 0.750196i | \(-0.270041\pi\) |
−0.509151 | + | 0.860677i | \(0.670041\pi\) | |||||||
\(642\) | 1.96040e6 | − | 1.42432e6i | 0.00740867 | − | 0.00538271i | ||||
\(643\) | 5.21264e7 | − | 1.60428e8i | 0.196076 | − | 0.603460i | −0.803886 | − | 0.594783i | \(-0.797238\pi\) |
0.999962 | − | 0.00867692i | \(-0.00276199\pi\) | |||||||
\(644\) | −2.25087e7 | − | 7.31351e6i | −0.0842738 | − | 0.0273822i | ||||
\(645\) | 1.25755e8 | + | 1.73087e8i | 0.468649 | + | 0.645040i | ||||
\(646\) | −1.02067e7 | + | 1.40484e7i | −0.0378608 | + | 0.0521109i | ||||
\(647\) | −5.04658e7 | − | 1.55318e8i | −0.186330 | − | 0.573466i | 0.813638 | − | 0.581371i | \(-0.197484\pi\) |
−0.999969 | + | 0.00790517i | \(0.997484\pi\) | |||||||
\(648\) | 1.06533e7i | 0.0391526i | ||||||||
\(649\) | −2.51922e7 | + | 1.58456e8i | −0.0921578 | + | 0.579663i | ||||
\(650\) | −5.56914e6 | −0.0202791 | ||||||||
\(651\) | 2.80182e8 | − | 9.10365e7i | 1.01554 | − | 0.329969i | ||||
\(652\) | 4.37296e8 | + | 3.17714e8i | 1.57773 | + | 1.14629i | ||||
\(653\) | 2.63901e8 | − | 1.91735e8i | 0.947767 | − | 0.688593i | −0.00251085 | − | 0.999997i | \(-0.500799\pi\) |
0.950278 | + | 0.311404i | \(0.100799\pi\) | |||||||
\(654\) | 3.20658e6 | − | 9.86883e6i | 0.0114633 | − | 0.0352803i | ||||
\(655\) | 3.17926e8 | + | 1.03300e8i | 1.13136 | + | 0.367602i | ||||
\(656\) | −3.91012e6 | − | 5.38182e6i | −0.0138509 | − | 0.0190641i | ||||
\(657\) | −1.59610e8 | + | 2.19684e8i | −0.562812 | + | 0.774644i | ||||
\(658\) | 640487. | + | 1.97122e6i | 0.00224819 | + | 0.00691921i | ||||
\(659\) | − | 3.08695e8i | − | 1.07863i | −0.842103 | − | 0.539317i | \(-0.818683\pi\) | ||
0.842103 | − | 0.539317i | \(-0.181317\pi\) | |||||||
\(660\) | −1.53680e8 | − | 3.02051e8i | −0.534546 | − | 1.05063i | ||||
\(661\) | −3.52705e8 | −1.22126 | −0.610629 | − | 0.791917i | \(-0.709083\pi\) | ||||
−0.610629 | + | 0.791917i | \(0.709083\pi\) | |||||||
\(662\) | 7.45003e6 | − | 2.42066e6i | 0.0256794 | − | 0.00834373i | ||||
\(663\) | −6.35148e8 | − | 4.61462e8i | −2.17939 | − | 1.58342i | ||||
\(664\) | −2.01459e7 | + | 1.46368e7i | −0.0688148 | + | 0.0499969i | ||||
\(665\) | −3.92617e7 | + | 1.20835e8i | −0.133507 | + | 0.410893i | ||||
\(666\) | −41434.4 | − | 13462.9i | −0.000140262 | − | 4.55738e-5i | ||||
\(667\) | −5.72197e7 | − | 7.87562e7i | −0.192827 | − | 0.265404i | ||||
\(668\) | −1.03898e8 | + | 1.43004e8i | −0.348562 | + | 0.479754i | ||||
\(669\) | −1.28073e8 | − | 3.94168e8i | −0.427739 | − | 1.31645i | ||||
\(670\) | − | 4.82698e6i | − | 0.0160491i | ||||||
\(671\) | −3.07988e8 | + | 1.56700e8i | −1.01945 | + | 0.518683i | ||||
\(672\) | 2.42748e7 | 0.0799923 | ||||||||
\(673\) | −2.09460e8 | + | 6.80578e7i | −0.687158 | + | 0.223271i | −0.631727 | − | 0.775191i | \(-0.717653\pi\) |
−0.0554317 | + | 0.998462i | \(0.517653\pi\) | |||||||
\(674\) | 6.07586e6 | + | 4.41437e6i | 0.0198440 | + | 0.0144175i | ||||
\(675\) | 5.62538e7 | − | 4.08708e7i | 0.182911 | − | 0.132893i | ||||
\(676\) | −6.39374e7 | + | 1.96779e8i | −0.206974 | + | 0.636999i | ||||
\(677\) | 2.45691e8 | + | 7.98298e7i | 0.791813 | + | 0.257276i | 0.676876 | − | 0.736097i | \(-0.263333\pi\) |
0.114937 | + | 0.993373i | \(0.463333\pi\) | |||||||
\(678\) | 556185. | + | 765522.i | 0.00178455 | + | 0.00245623i | ||||
\(679\) | −2.85512e7 | + | 3.92973e7i | −0.0912042 | + | 0.125532i | ||||
\(680\) | −7.76014e6 | − | 2.38833e7i | −0.0246799 | − | 0.0759568i | ||||
\(681\) | − | 3.07544e8i | − | 0.973790i | ||||||
\(682\) | −1.83914e7 | − | 2.92395e6i | −0.0579777 | − | 0.00921759i | ||||
\(683\) | 1.46302e8 | 0.459184 | 0.229592 | − | 0.973287i | \(-0.426261\pi\) | ||||
0.229592 | + | 0.973287i | \(0.426261\pi\) | |||||||
\(684\) | −5.11817e8 | + | 1.66299e8i | −1.59936 | + | 0.519664i | ||||
\(685\) | −1.07808e8 | − | 7.83269e7i | −0.335412 | − | 0.243691i | ||||
\(686\) | −8.14944e6 | + | 5.92092e6i | −0.0252439 | + | 0.0183407i | ||||
\(687\) | −1.92332e7 | + | 5.91938e7i | −0.0593174 | + | 0.182560i | ||||
\(688\) | −2.08261e8 | − | 6.76680e7i | −0.639502 | − | 0.207787i | ||||
\(689\) | 1.50626e8 | + | 2.07319e8i | 0.460514 | + | 0.633842i | ||||
\(690\) | 1.70833e6 | − | 2.35132e6i | 0.00520026 | − | 0.00715754i | ||||
\(691\) | 1.09483e8 | + | 3.36955e8i | 0.331829 | + | 1.02126i | 0.968263 | + | 0.249933i | \(0.0804085\pi\) |
−0.636435 | + | 0.771331i | \(0.719591\pi\) | |||||||
\(692\) | − | 1.81948e8i | − | 0.549071i | ||||||
\(693\) | −3.20035e7 | − | 2.02831e8i | −0.0961607 | − | 0.609445i | ||||
\(694\) | 1.94804e7 | 0.0582799 | ||||||||
\(695\) | 5.27040e7 | − | 1.71246e7i | 0.156996 | − | 0.0510112i | ||||
\(696\) | 5.38393e7 | + | 3.91165e7i | 0.159688 | + | 0.116020i | ||||
\(697\) | −8.79704e6 | + | 6.39143e6i | −0.0259800 | + | 0.0188755i | ||||
\(698\) | −2.23446e6 | + | 6.87696e6i | −0.00657062 | + | 0.0202223i | ||||
\(699\) | 7.01761e8 | + | 2.28016e8i | 2.05474 | + | 0.667627i | ||||
\(700\) | 3.73989e7 | + | 5.14752e7i | 0.109035 | + | 0.150073i | ||||
\(701\) | 2.80266e8 | − | 3.85753e8i | 0.813610 | − | 1.11984i | −0.177147 | − | 0.984184i | \(-0.556687\pi\) |
0.990756 | − | 0.135653i | \(-0.0433133\pi\) | |||||||
\(702\) | 2.92491e6 | + | 9.00196e6i | 0.00845477 | + | 0.0260211i | ||||
\(703\) | 1.21815e6i | 0.00350618i | ||||||||
\(704\) | 3.08056e8 | + | 1.57190e8i | 0.882900 | + | 0.450512i | ||||
\(705\) | 1.73034e8 | 0.493814 | ||||||||
\(706\) | 2.11125e7 | − | 6.85988e6i | 0.0599966 | − | 0.0194941i | ||||
\(707\) | −1.90553e8 | − | 1.38445e8i | −0.539210 | − | 0.391759i | ||||
\(708\) | −2.58482e8 | + | 1.87798e8i | −0.728333 | + | 0.529165i | ||||
\(709\) | 6.73306e7 | − | 2.07222e8i | 0.188918 | − | 0.581430i | −0.811076 | − | 0.584941i | \(-0.801118\pi\) |
0.999994 | + | 0.00351095i | \(0.00111757\pi\) | |||||||
\(710\) | −4.60118e6 | − | 1.49501e6i | −0.0128557 | − | 0.00417706i | ||||
\(711\) | −1.89831e8 | − | 2.61280e8i | −0.528152 | − | 0.726939i | ||||
\(712\) | 1.33439e7 | − | 1.83663e7i | 0.0369695 | − | 0.0508841i | ||||
\(713\) | 3.35501e7 | + | 1.03257e8i | 0.0925604 | + | 0.284872i | ||||
\(714\) | − | 1.31940e7i | − | 0.0362478i | ||||||
\(715\) | 2.56606e8 | + | 2.56907e8i | 0.702020 | + | 0.702843i | ||||
\(716\) | 1.27538e8 | 0.347456 | ||||||||
\(717\) | 5.08125e8 | − | 1.65100e8i | 1.37852 | − | 0.447909i | ||||
\(718\) | −2.11984e7 | − | 1.54016e7i | −0.0572704 | − | 0.0416094i | ||||
\(719\) | −3.67403e8 | + | 2.66934e8i | −0.988453 | + | 0.718153i | −0.959582 | − | 0.281430i | \(-0.909191\pi\) |
−0.0288714 | + | 0.999583i | \(0.509191\pi\) | |||||||
\(720\) | 1.19983e8 | − | 3.69270e8i | 0.321457 | − | 0.989342i | ||||
\(721\) | −1.05658e8 | − | 3.43303e7i | −0.281900 | − | 0.0915950i | ||||
\(722\) | −4.53166e6 | − | 6.23729e6i | −0.0120405 | − | 0.0165724i | ||||
\(723\) | −3.60407e8 | + | 4.96057e8i | −0.953625 | + | 1.31255i | ||||
\(724\) | 6.90021e7 | + | 2.12367e8i | 0.181822 | + | 0.559591i | ||||
\(725\) | 2.61712e8i | 0.686767i | ||||||||
\(726\) | −6.98642e6 | + | 2.14166e7i | −0.0182576 | + | 0.0559680i | ||||
\(727\) | −4.52587e7 | −0.117787 | −0.0588937 | − | 0.998264i | \(-0.518757\pi\) | ||||
−0.0588937 | + | 0.998264i | \(0.518757\pi\) | |||||||
\(728\) | −1.64866e7 | + | 5.35683e6i | −0.0427305 | + | 0.0138840i | ||||
\(729\) | 4.83730e8 | + | 3.51451e8i | 1.24859 | + | 0.907155i | ||||
\(730\) | 6.52861e6 | − | 4.74331e6i | 0.0167823 | − | 0.0121931i | ||||
\(731\) | −1.10609e8 | + | 3.40420e8i | −0.283165 | + | 0.871491i | ||||
\(732\) | −6.54442e8 | − | 2.12641e8i | −1.66855 | − | 0.542143i | ||||
\(733\) | −2.57116e8 | − | 3.53890e8i | −0.652856 | − | 0.898579i | 0.346363 | − | 0.938101i | \(-0.387417\pi\) |
−0.999219 | + | 0.0395213i | \(0.987417\pi\) | |||||||
\(734\) | −9.25922e6 | + | 1.27442e7i | −0.0234146 | + | 0.0322274i | ||||
\(735\) | 1.15019e8 | + | 3.53992e8i | 0.289673 | + | 0.891521i | ||||
\(736\) | 8.94610e6i | 0.0224388i | ||||||||
\(737\) | 1.54329e8 | − | 1.54148e8i | 0.385518 | − | 0.385067i | ||||
\(738\) | 495708. | 0.00123327 | ||||||||
\(739\) | 1.35247e8 | − | 4.39446e7i | 0.335117 | − | 0.108886i | −0.136625 | − | 0.990623i | \(-0.543626\pi\) |
0.471742 | + | 0.881737i | \(0.343626\pi\) | |||||||
\(740\) | −712078. | − | 517355.i | −0.00175725 | − | 0.00127671i | ||||
\(741\) | 8.09594e8 | − | 5.88205e8i | 1.98982 | − | 1.44569i | ||||
\(742\) | −1.33083e6 | + | 4.09588e6i | −0.00325770 | + | 0.0100262i | ||||
\(743\) | −6.79453e8 | − | 2.20768e8i | −1.65651 | − | 0.538232i | −0.676371 | − | 0.736561i | \(-0.736448\pi\) |
−0.980135 | + | 0.198330i | \(0.936448\pi\) | |||||||
\(744\) | −4.36259e7 | − | 6.00459e7i | −0.105932 | − | 0.145802i | ||||
\(745\) | 1.84315e8 | − | 2.53687e8i | 0.445750 | − | 0.613522i | ||||
\(746\) | −553939. | − | 1.70485e6i | −0.00133428 | − | 0.00410648i | ||||
\(747\) | 6.29342e8i | 1.50982i | ||||||||
\(748\) | 2.57701e8 | − | 5.05035e8i | 0.615760 | − | 1.20675i | ||||
\(749\) | 2.96625e7 | 0.0705930 | ||||||||
\(750\) | −2.55842e7 | + | 8.31283e6i | −0.0606441 | + | 0.0197045i | ||||
\(751\) | 1.55197e8 | + | 1.12757e8i | 0.366407 | + | 0.266210i | 0.755720 | − | 0.654895i | \(-0.227287\pi\) |
−0.389312 | + | 0.921106i | \(0.627287\pi\) | |||||||
\(752\) | −1.43279e8 | + | 1.04098e8i | −0.336921 | + | 0.244787i | ||||
\(753\) | −1.81259e8 | + | 5.57858e8i | −0.424536 | + | 1.30659i | ||||
\(754\) | −3.38818e7 | − | 1.10089e7i | −0.0790409 | − | 0.0256820i | ||||
\(755\) | −1.62209e8 | − | 2.23261e8i | −0.376906 | − | 0.518767i | ||||
\(756\) | 6.35626e7 | − | 8.74864e7i | 0.147108 | − | 0.202477i | ||||
\(757\) | −1.83535e8 | − | 5.64863e8i | −0.423089 | − | 1.30213i | −0.904812 | − | 0.425810i | \(-0.859989\pi\) |
0.481723 | − | 0.876323i | \(-0.340011\pi\) | |||||||
\(758\) | 1.05310e7i | 0.0241803i | ||||||||
\(759\) | 1.29732e8 | − | 2.04696e7i | 0.296702 | − | 0.0468148i | ||||
\(760\) | 3.20096e7 | 0.0729187 | ||||||||
\(761\) | −2.90720e8 | + | 9.44606e7i | −0.659661 | + | 0.214337i | −0.619669 | − | 0.784863i | \(-0.712733\pi\) |
−0.0399917 | + | 0.999200i | \(0.512733\pi\) | |||||||
\(762\) | 2.39485e7 | + | 1.73996e7i | 0.0541269 | + | 0.0393255i | ||||
\(763\) | 1.02763e8 | − | 7.46617e7i | 0.231347 | − | 0.168083i | ||||
\(764\) | 2.44356e7 | − | 7.52051e7i | 0.0547953 | − | 0.168643i | ||||
\(765\) | −6.03604e8 | − | 1.96123e8i | −1.34824 | − | 0.438070i | ||||
\(766\) | 4.96091e6 | + | 6.82811e6i | 0.0110376 | + | 0.0151920i | ||||
\(767\) | 2.01214e8 | − | 2.76948e8i | 0.445936 | − | 0.613778i | ||||
\(768\) | 2.11870e8 | + | 6.52068e8i | 0.467719 | + | 1.43949i | ||||
\(769\) | − | 7.35192e8i | − | 1.61667i | −0.588722 | − | 0.808335i | \(-0.700369\pi\) | ||
0.588722 | − | 0.808335i | \(-0.299631\pi\) | |||||||
\(770\) | −958147. | + | 6.02665e6i | −0.00209875 | + | 0.0132009i | ||||
\(771\) | −1.20862e9 | −2.63711 | ||||||||
\(772\) | −3.68909e8 | + | 1.19866e8i | −0.801802 | + | 0.260521i | ||||
\(773\) | 5.93832e8 | + | 4.31444e8i | 1.28566 | + | 0.934084i | 0.999708 | − | 0.0241609i | \(-0.00769142\pi\) |
0.285948 | + | 0.958245i | \(0.407691\pi\) | |||||||
\(774\) | 1.32012e7 | − | 9.59124e6i | 0.0284702 | − | 0.0206848i | ||||
\(775\) | 9.01967e7 | − | 2.77597e8i | 0.193769 | − | 0.596361i | ||||
\(776\) | 1.16387e7 | + | 3.78164e6i | 0.0249069 | + | 0.00809273i | ||||
\(777\) | −544035. | − | 748801.i | −0.00115975 | − | 0.00159626i | ||||
\(778\) | 71642.3 | − | 98607.2i | 0.000152136 | − | 0.000209397i | ||||
\(779\) | −4.28306e6 | − | 1.31819e7i | −0.00906028 | − | 0.0278847i | ||||
\(780\) | 7.23068e8i | 1.52369i | ||||||||
\(781\) | −9.91386e7 | − | 1.94852e8i | −0.208108 | − | 0.409028i | ||||
\(782\) | 4.86244e6 | 0.0101680 | ||||||||
\(783\) | 4.23031e8 | − | 1.37451e8i | 0.881226 | − | 0.286328i | ||||
\(784\) | −3.08204e8 | − | 2.23923e8i | −0.639572 | − | 0.464677i | ||||
\(785\) | −2.44665e8 | + | 1.77759e8i | −0.505781 | + | 0.367472i | ||||
\(786\) | 1.36736e7 | − | 4.20831e7i | 0.0281589 | − | 0.0866642i | ||||
\(787\) | −4.72141e7 | − | 1.53408e7i | −0.0968606 | − | 0.0314719i | 0.260186 | − | 0.965559i | \(-0.416216\pi\) |
−0.357046 | + | 0.934087i | \(0.616216\pi\) | |||||||
\(788\) | −2.97419e8 | − | 4.09362e8i | −0.607842 | − | 0.836622i | ||||
\(789\) | −4.57892e8 | + | 6.30234e8i | −0.932248 | + | 1.28313i | ||||
\(790\) | 2.96588e6 | + | 9.12804e6i | 0.00601550 | + | 0.0185138i | ||||
\(791\) | 1.15830e7i | 0.0234040i | ||||||||
\(792\) | −4.61081e7 | + | 2.34592e7i | −0.0928115 | + | 0.0472213i | ||||
\(793\) | 7.37280e8 | 1.47847 | ||||||||
\(794\) | 8.45795e6 | − | 2.74815e6i | 0.0168968 | − | 0.00549009i | ||||
\(795\) | 2.90871e8 | + | 2.11330e8i | 0.578895 | + | 0.420592i | ||||
\(796\) | 3.06971e8 | − | 2.23028e8i | 0.608637 | − | 0.442201i | ||||
\(797\) | −6.52749e7 | + | 2.00896e8i | −0.128935 | + | 0.396822i | −0.994597 | − | 0.103807i | \(-0.966898\pi\) |
0.865662 | + | 0.500628i | \(0.166898\pi\) | |||||||
\(798\) | 1.59947e7 | + | 5.19698e6i | 0.0314751 | + | 0.0102269i | ||||
\(799\) | 1.70157e8 | + | 2.34201e8i | 0.333587 | + | 0.459144i | ||||
\(800\) | 1.41367e7 | − | 1.94575e7i | 0.0276108 | − | 0.0380030i | ||||
\(801\) | −1.77299e8 | − | 5.45669e8i | −0.344991 | − | 1.06177i | ||||
\(802\) | − | 3.34759e7i | − | 0.0648946i | ||||||
\(803\) | 3.60143e8 | + | 5.72573e7i | 0.695550 | + | 0.110582i | ||||
\(804\) | 4.34361e8 | 0.835761 | ||||||||
\(805\) | 3.38360e7 | − | 1.09940e7i | 0.0648622 | − | 0.0210750i | ||||
\(806\) | 3.21442e7 | + | 2.33541e7i | 0.0613899 | + | 0.0446024i | ||||
\(807\) | 7.34559e8 | − | 5.33688e8i | 1.39767 | − | 1.01547i | ||||
\(808\) | −1.83372e7 | + | 5.64362e7i | −0.0347616 | + | 0.106985i | ||||
\(809\) | 7.50549e8 | + | 2.43868e8i | 1.41753 | + | 0.460585i | 0.914818 | − | 0.403867i | \(-0.132334\pi\) |
0.502716 | + | 0.864452i | \(0.332334\pi\) | |||||||
\(810\) | −4.70310e6 | − | 6.47326e6i | −0.00884971 | − | 0.0121806i | ||||
\(811\) | −4.49227e8 | + | 6.18308e8i | −0.842177 | + | 1.15916i | 0.143355 | + | 0.989671i | \(0.454211\pi\) |
−0.985533 | + | 0.169486i | \(0.945789\pi\) | |||||||
\(812\) | 1.25775e8 | + | 3.87096e8i | 0.234923 | + | 0.723020i | ||||
\(813\) | − | 8.23953e6i | − | 0.0153331i | ||||||
\(814\) | 9118.69 | + | 57792.3i | 1.69067e−5 | + | 0.000107151i | ||||
\(815\) | −8.12544e8 | −1.50098 | ||||||||
\(816\) | 1.07221e9 | − | 3.48381e8i | 1.97337 | − | 0.641186i | ||||
\(817\) | −3.69113e8 | − | 2.68176e8i | −0.676851 | − | 0.491761i | ||||
\(818\) | −1.83471e7 | + | 1.33300e7i | −0.0335203 | + | 0.0243540i | ||||
\(819\) | −1.35384e8 | + | 4.16668e8i | −0.246442 | + | 0.758470i | ||||
\(820\) | 9.52462e6 | + | 3.09474e6i | 0.0172745 | + | 0.00561283i | ||||
\(821\) | 4.38855e7 | + | 6.04033e7i | 0.0793034 | + | 0.109152i | 0.846826 | − | 0.531870i | \(-0.178511\pi\) |
−0.767522 | + | 0.641022i | \(0.778511\pi\) | |||||||
\(822\) | −1.03679e7 | + | 1.42702e7i | −0.0186671 | + | 0.0256931i | ||||
\(823\) | 1.01276e8 | + | 3.11696e8i | 0.181680 | + | 0.559155i | 0.999875 | − | 0.0157860i | \(-0.00502506\pi\) |
−0.818195 | + | 0.574941i | \(0.805025\pi\) | |||||||
\(824\) | 2.79890e7i | 0.0500272i | ||||||||
\(825\) | −3.14509e8 | − | 1.60483e8i | −0.560108 | − | 0.285803i | ||||
\(826\) | 5.75306e6 | 0.0102084 | ||||||||
\(827\) | 7.65418e8 | − | 2.48699e8i | 1.35326 | − | 0.439702i | 0.459475 | − | 0.888191i | \(-0.348038\pi\) |
0.893788 | + | 0.448489i | \(0.148038\pi\) | |||||||
\(828\) | 1.21914e8 | + | 8.85754e7i | 0.214764 | + | 0.156035i | ||||
\(829\) | −1.06973e8 | + | 7.77203e7i | −0.187763 | + | 0.136418i | −0.677696 | − | 0.735342i | \(-0.737021\pi\) |
0.489933 | + | 0.871760i | \(0.337021\pi\) | |||||||
\(830\) | 5.77951e6 | − | 1.77875e7i | 0.0101078 | − | 0.0311086i | ||||
\(831\) | 6.82572e7 | + | 2.21781e7i | 0.118945 | + | 0.0386475i | ||||
\(832\) | −4.33717e8 | − | 5.96961e8i | −0.753073 | − | 1.03652i | ||||
\(833\) | −3.66022e8 | + | 5.03786e8i | −0.633245 | + | 0.871587i | ||||
\(834\) | −2.26674e6 | − | 6.97630e6i | −0.00390754 | − | 0.0120262i | ||||
\(835\) | − | 2.65717e8i | − | 0.456416i | ||||||
\(836\) | 5.10732e8 | + | 5.11331e8i | 0.874127 | + | 0.875152i | ||||
\(837\) | −4.96079e8 | −0.846008 | ||||||||
\(838\) | 1.68290e7 | − | 5.46809e6i | 0.0285975 | − | 0.00929188i | ||||
\(839\) | −5.96574e8 | − | 4.33436e8i | −1.01013 | − | 0.733904i | −0.0458959 | − | 0.998946i | \(-0.514614\pi\) |
−0.964237 | + | 0.265042i | \(0.914614\pi\) | |||||||
\(840\) | −1.96764e7 | + | 1.42957e7i | −0.0331977 | + | 0.0241195i | ||||
\(841\) | −3.33531e8 | + | 1.02650e9i | −0.560723 | + | 1.72573i | ||||
\(842\) | 1.97642e7 | + | 6.42179e6i | 0.0331088 | + | 0.0107577i | ||||
\(843\) | −5.21383e8 | − | 7.17623e8i | −0.870311 | − | 1.19788i | ||||
\(844\) | 1.88325e8 | − | 2.59207e8i | 0.313242 | − | 0.431141i | ||||
\(845\) | −9.61136e7 | − | 2.95807e8i | −0.159300 | − | 0.490274i | ||||
\(846\) | − | 1.31971e7i | − | 0.0217955i | ||||||
\(847\) | −2.23283e8 | + | 1.61825e8i | −0.367456 | + | 0.266315i | ||||
\(848\) | −3.67990e8 | −0.603461 | ||||||||
\(849\) | −1.69361e9 | + | 5.50287e8i | −2.76751 | + | 0.899220i | ||||
\(850\) | −1.05757e7 | − | 7.68369e6i | −0.0172207 | − | 0.0125116i | ||||
\(851\) | 275959. | − | 200496.i | 0.000447771 | − | 0.000325324i | ||||
\(852\) | 1.34530e8 | − | 4.14042e8i | 0.217521 | − | 0.669461i | ||||
\(853\) | 1.16094e9 | + | 3.77213e8i | 1.87052 | + | 0.607770i | 0.991346 | + | 0.131275i | \(0.0419071\pi\) |
0.879177 | + | 0.476495i | \(0.158093\pi\) | |||||||
\(854\) | 7.28300e6 | + | 1.00242e7i | 0.0116933 | + | 0.0160944i | ||||
\(855\) | 4.75507e8 | − | 6.54479e8i | 0.760779 | − | 1.04712i | ||||
\(856\) | −2.30931e6 | − | 7.10732e6i | −0.00368181 | − | 0.0113314i | ||||
\(857\) | − | 1.07720e9i | − | 1.71141i | −0.517461 | − | 0.855707i | \(-0.673123\pi\) | ||
0.517461 | − | 0.855707i | \(-0.326877\pi\) | |||||||
\(858\) | 3.40062e7 | − | 3.39664e7i | 0.0538389 | − | 0.0537759i | ||||
\(859\) | 7.26527e8 | 1.14623 | 0.573116 | − | 0.819474i | \(-0.305735\pi\) | ||||
0.573116 | + | 0.819474i | \(0.305735\pi\) | |||||||
\(860\) | 3.13529e8 | − | 1.01872e8i | 0.492926 | − | 0.160161i | ||||
\(861\) | 8.51995e6 | + | 6.19011e6i | 0.0133484 | + | 0.00969815i | ||||
\(862\) | −2.38740e6 | + | 1.73455e6i | −0.00372738 | + | 0.00270810i | ||||
\(863\) | −8.88294e7 | + | 2.73389e8i | −0.138205 | + | 0.425352i | −0.996075 | − | 0.0885157i | \(-0.971788\pi\) |
0.857870 | + | 0.513867i | \(0.171788\pi\) | |||||||
\(864\) | −3.88758e7 | − | 1.26315e7i | −0.0602751 | − | 0.0195846i | ||||
\(865\) | 1.60766e8 | + | 2.21276e8i | 0.248397 | + | 0.341889i | ||||
\(866\) | −1.51553e7 | + | 2.08595e7i | −0.0233352 | + | 0.0321182i | ||||
\(867\) | −2.60106e8 | − | 8.00524e8i | −0.399110 | − | 1.22834i | ||||
\(868\) | − | 4.53938e8i | − | 0.694124i | ||||||
\(869\) | −1.97128e8 | + | 3.86327e8i | −0.300393 | + | 0.588702i | ||||
\(870\) | −4.99829e7 | −0.0759039 | ||||||||
\(871\) | −4.42613e8 | + | 1.43814e8i | −0.669838 | + | 0.217644i | ||||
\(872\) | −2.58898e7 | − | 1.88101e7i | −0.0390463 | − | 0.0283688i | ||||
\(873\) | 2.50215e8 | − | 1.81792e8i | 0.376072 | − | 0.273232i | ||||
\(874\) | −1.91527e6 | + | 5.89459e6i | −0.00286877 | + | 0.00882915i | ||||
\(875\) | −3.13179e8 | − | 1.01758e8i | −0.467486 | − | 0.151895i | ||||
\(876\) | 4.26831e8 | + | 5.87483e8i | 0.634956 | + | 0.873942i | ||||
\(877\) | −5.89449e8 | + | 8.11307e8i | −0.873871 | + | 1.20278i | 0.104210 | + | 0.994555i | \(0.466769\pi\) |
−0.978081 | + | 0.208225i | \(0.933231\pi\) | |||||||
\(878\) | 1.74086e6 | + | 5.35780e6i | 0.00257205 | + | 0.00791595i | ||||
\(879\) | − | 2.69885e8i | − | 0.397385i | ||||||
\(880\) | −5.15054e8 | + | 8.12672e7i | −0.755796 | + | 0.119252i | ||||
\(881\) | 1.02246e9 | 1.49527 | 0.747636 | − | 0.664109i | \(-0.231189\pi\) | ||||
0.747636 | + | 0.664109i | \(0.231189\pi\) | |||||||
\(882\) | 2.69986e7 | − | 8.77238e6i | 0.0393492 | − | 0.0127853i | ||||
\(883\) | 3.90625e8 | + | 2.83806e8i | 0.567385 | + | 0.412230i | 0.834155 | − | 0.551531i | \(-0.185956\pi\) |
−0.266769 | + | 0.963760i | \(0.585956\pi\) | |||||||
\(884\) | −9.78674e8 | + | 7.11048e8i | −1.41671 | + | 1.02930i | ||||
\(885\) | 1.48417e8 | − | 4.56781e8i | 0.214119 | − | 0.658989i | ||||
\(886\) | −3.53375e7 | − | 1.14818e7i | −0.0508082 | − | 0.0165086i | ||||
\(887\) | 3.35409e8 | + | 4.61651e8i | 0.480622 | + | 0.661520i | 0.978624 | − | 0.205656i | \(-0.0659329\pi\) |
−0.498002 | + | 0.867176i | \(0.665933\pi\) | |||||||
\(888\) | −137063. | + | 188651.i | −0.000195741 | + | 0.000269414i | ||||
\(889\) | 1.11975e8 | + | 3.44625e8i | 0.159374 | + | 0.490502i | ||||
\(890\) | 1.70508e7i | 0.0241866i | ||||||||
\(891\) | 5.67720e7 | − | 3.57090e8i | 0.0802603 | − | 0.504829i | ||||
\(892\) | −6.38613e8 | −0.899795 | ||||||||
\(893\) | −3.50938e8 | + | 1.14027e8i | −0.492806 | + | 0.160122i | ||||
\(894\) | −3.35800e7 | − | 2.43973e7i | −0.0469968 | − | 0.0341452i | ||||
\(895\) | −1.55105e8 | + | 1.12690e8i | −0.216350 | + | 0.157188i | ||||
\(896\) | 1.54075e7 | − | 4.74195e7i | 0.0214195 | − | 0.0659224i | ||||
\(897\) | −2.66503e8 | − | 8.65921e7i | −0.369254 | − | 0.119978i | ||||
\(898\) | 2.46318e7 | + | 3.39027e7i | 0.0340147 | + | 0.0468172i | ||||
\(899\) | 1.09748e9 | − | 1.51056e9i | 1.51050 | − | 2.07902i | ||||
\(900\) | −1.25191e8 | − | 3.85299e8i | −0.171730 | − | 0.528530i | ||||
\(901\) | 6.01512e8i | 0.822375i | ||||||||
\(902\) | −301875. | − | 593323.i | −0.000411347 | − | 0.000808484i | ||||
\(903\) | 3.46664e8 | 0.470810 | ||||||||
\(904\) | 2.77536e6 | − | 901768.i | 0.00375676 | − | 0.00122065i | ||||
\(905\) | −2.71561e8 | − | 1.97301e8i | −0.366371 | − | 0.266184i | ||||
\(906\) | −2.95525e7 | + | 2.14712e7i | −0.0397384 | + | 0.0288716i | ||||
\(907\) | 1.50312e8 | − | 4.62613e8i | 0.201452 | − | 0.620006i | −0.798388 | − | 0.602143i | \(-0.794314\pi\) |
0.999840 | − | 0.0178629i | \(-0.00568623\pi\) | |||||||
\(908\) | −4.50688e8 | − | 1.46437e8i | −0.602030 | − | 0.195612i | ||||
\(909\) | 8.81512e8 | + | 1.21330e9i | 1.17364 | + | 1.61538i | ||||
\(910\) | 7.65288e6 | − | 1.05333e7i | 0.0101555 | − | 0.0139778i | ||||
\(911\) | 4.83124e7 | + | 1.48690e8i | 0.0639004 | + | 0.196665i | 0.977910 | − | 0.209028i | \(-0.0670301\pi\) |
−0.914009 | + | 0.405693i | \(0.867030\pi\) | |||||||
\(912\) | 1.43703e9i | 1.89444i | ||||||||
\(913\) | 7.53272e8 | − | 3.83255e8i | 0.989782 | − | 0.503589i | ||||
\(914\) | −3.22228e7 | −0.0422012 | ||||||||
\(915\) | 9.83787e8 | − | 3.19652e8i | 1.28421 | − | 0.417267i | ||||
\(916\) | 7.75873e7 | + | 5.63704e7i | 0.100949 | + | 0.0733441i | ||||
\(917\) | 4.38206e8 | − | 3.18375e8i | 0.568291 | − | 0.412887i | ||||
\(918\) | −6.86556e6 | + | 2.11300e7i | −0.00887458 | + | 0.0273132i | ||||
\(919\) | 4.36639e8 | + | 1.41873e8i | 0.562569 | + | 0.182790i | 0.576477 | − | 0.817114i | \(-0.304427\pi\) |
−0.0139077 | + | 0.999903i | \(0.504427\pi\) | |||||||
\(920\) | −5.26847e6 | − | 7.25143e6i | −0.00676583 | − | 0.00931237i | ||||
\(921\) | −2.14579e8 | + | 2.95343e8i | −0.274668 | + | 0.378048i | ||||
\(922\) | 7.25290e6 | + | 2.23221e7i | 0.00925378 | + | 0.0284802i | ||||
\(923\) | 4.66450e8i | 0.593199i | ||||||||
\(924\) | −5.42314e8 | − | 8.62197e7i | −0.687440 | − | 0.109293i | ||||
\(925\) | −917029. | −0.00115867 | ||||||||
\(926\) | −1.15339e7 | + | 3.74758e6i | −0.0145259 | + | 0.00471974i | ||||
\(927\) | 5.72274e8 | + | 4.15781e8i | 0.718397 | + | 0.521946i | ||||
\(928\) | 1.24469e8 | − | 9.04317e7i | 0.155746 | − | 0.113156i | ||||
\(929\) | 3.15413e8 | − | 9.70741e8i | 0.393398 | − | 1.21076i | −0.536804 | − | 0.843707i | \(-0.680368\pi\) |
0.930202 | − | 0.367048i | \(-0.119632\pi\) | |||||||
\(930\) | 5.30167e7 | + | 1.72262e7i | 0.0659119 | + | 0.0214161i | ||||
\(931\) | −4.66551e8 | − | 6.42153e8i | −0.578163 | − | 0.795773i | ||||
\(932\) | 6.68289e8 | − | 9.19822e8i | 0.825500 | − | 1.13620i | ||||
\(933\) | 2.61203e8 | + | 8.03901e8i | 0.321613 | + | 0.989824i | ||||
\(934\) | − | 4.59802e7i | − | 0.0564327i | ||||||
\(935\) | 1.32838e8 | + | 8.41899e8i | 0.162513 | + | 1.02997i | ||||
\(936\) | 1.10377e8 | 0.134601 | ||||||||
\(937\) | −4.06435e8 | + | 1.32059e8i | −0.494052 | + | 0.160527i | −0.545437 | − | 0.838152i | \(-0.683636\pi\) |
0.0513852 | + | 0.998679i | \(0.483636\pi\) | |||||||
\(938\) | −6.32754e6 | − | 4.59723e6i | −0.00766702 | − | 0.00557041i | ||||
\(939\) | −1.18827e9 | + | 8.63327e8i | −1.43522 | + | 1.04275i | ||||
\(940\) | 8.23903e7 | − | 2.53571e8i | 0.0991956 | − | 0.305293i | ||||
\(941\) | −1.28284e9 | − | 4.16820e8i | −1.53958 | − | 0.500241i | −0.588323 | − | 0.808626i | \(-0.700212\pi\) |
−0.951262 | + | 0.308385i | \(0.900212\pi\) | |||||||
\(942\) | 2.35296e7 | + | 3.23857e7i | 0.0281489 | + | 0.0387437i | ||||
\(943\) | −2.28127e6 | + | 3.13990e6i | −0.00272045 | + | 0.00374438i | ||||
\(944\) | 1.51907e8 | + | 4.67521e8i | 0.180577 | + | 0.555758i | ||||
\(945\) | 1.62560e8i | 0.192627i | ||||||||
\(946\) | −1.95192e7 | − | 9.95993e6i | −0.0230562 | − | 0.0117648i | ||||
\(947\) | −1.02227e9 | −1.20369 | −0.601845 | − | 0.798613i | \(-0.705567\pi\) | ||||
−0.601845 | + | 0.798613i | \(0.705567\pi\) | |||||||
\(948\) | −8.21395e8 | + | 2.66887e8i | −0.964111 | + | 0.313259i | ||||
\(949\) | −6.29452e8 | − | 4.57324e8i | −0.736485 | − | 0.535088i | ||||
\(950\) | 1.34804e7 | − | 9.79405e6i | 0.0157228 | − | 0.0114233i | ||||
\(951\) | 5.51984e8 | − | 1.69883e9i | 0.641779 | − | 1.97519i | ||||
\(952\) | −3.86986e7 | − | 1.25739e7i | −0.0448522 | − | 0.0145734i | ||||
\(953\) | 1.28340e8 | + | 1.76645e8i | 0.148281 | + | 0.204091i | 0.876696 | − | 0.481045i | \(-0.159743\pi\) |
−0.728415 | + | 0.685136i | \(0.759743\pi\) | |||||||
\(954\) | 1.61180e7 | − | 2.21845e7i | 0.0185637 | − | 0.0255508i | ||||
\(955\) | 3.67327e7 | + | 1.13052e8i | 0.0421738 | + | 0.129798i | ||||
\(956\) | − | 8.23242e8i | − | 0.942224i | ||||||
\(957\) | −1.59619e9 | − | 1.59806e9i | −1.82116 | − | 1.82330i | ||||
\(958\) | −6.91733e6 | −0.00786760 | ||||||||
\(959\) | −2.05352e8 | + | 6.67231e7i | −0.232833 | + | 0.0756519i | ||||
\(960\) | −8.37544e8 | − | 6.08512e8i | −0.946660 | − | 0.687789i | ||||
\(961\) | −9.66692e8 | + | 7.02343e8i | −1.08923 | + | 0.791369i | ||||
\(962\) | 38574.6 | − | 118721.i | 4.33288e−5 | − | 0.000133352i | ||||
\(963\) | −1.79624e8 | − | 5.83634e7i | −0.201134 | − | 0.0653524i | ||||
\(964\) | 5.55336e8 | + | 7.64354e8i | 0.619904 | + | 0.853225i | ||||
\(965\) | 3.42737e8 | − | 4.71737e8i | 0.381398 | − | 0.524950i | ||||
\(966\) | −1.45525e6 | − | 4.47880e6i | −0.00161438 | − | 0.00496855i | ||||
\(967\) | 1.10324e9i | 1.22009i | 0.792366 | + | 0.610046i | \(0.208849\pi\) | ||||
−0.792366 | + | 0.610046i | \(0.791151\pi\) | |||||||
\(968\) | 5.61576e7 | + | 4.09015e7i | 0.0619131 | + | 0.0450935i | ||||
\(969\) | 2.34894e9 | 2.58167 | ||||||||
\(970\) | −8.74147e6 | + | 2.84028e6i | −0.00957788 | + | 0.00311204i | ||||
\(971\) | 5.56804e8 | + | 4.04542e8i | 0.608197 | + | 0.441881i | 0.848779 | − | 0.528748i | \(-0.177338\pi\) |
−0.240582 | + | 0.970629i | \(0.577338\pi\) | |||||||
\(972\) | 9.92230e8 | − | 7.20897e8i | 1.08047 | − | 0.785009i | ||||
\(973\) | 2.77473e7 | − | 8.53975e7i | 0.0301219 | − | 0.0927057i | ||||
\(974\) | 2.35815e7 | + | 7.66210e6i | 0.0255208 | + | 0.00829222i | ||||
\(975\) | 4.42804e8 | + | 6.09467e8i | 0.477746 | + | 0.657561i | ||||
\(976\) | −6.22310e8 | + | 8.56536e8i | −0.669356 | + | 0.921289i | ||||
\(977\) | −2.32188e8 | − | 7.14603e8i | −0.248976 | − | 0.766268i | −0.994957 | − | 0.100302i | \(-0.968019\pi\) |
0.745981 | − | 0.665967i | \(-0.231981\pi\) | |||||||
\(978\) | 1.07555e8i | 0.114977i | ||||||||
\(979\) | −5.45151e8 | + | 5.44513e8i | −0.580990 | + | 0.580310i | ||||
\(980\) | 5.73522e8 | 0.609357 | ||||||||
\(981\) | −7.69195e8 | + | 2.49927e8i | −0.814759 | + | 0.264731i | ||||
\(982\) | −2.56885e6 | − | 1.86638e6i | −0.00271272 | − | 0.00197090i | ||||
\(983\) | −1.33414e8 | + | 9.69311e7i | −0.140456 | + | 0.102048i | −0.655795 | − | 0.754939i | \(-0.727666\pi\) |
0.515338 | + | 0.856987i | \(0.327666\pi\) | |||||||
\(984\) | 819888. | − | 2.52336e6i | 0.000860536 | − | 0.00264846i | ||||
\(985\) | 7.23413e8 | + | 2.35051e8i | 0.756968 | + | 0.245954i | ||||
\(986\) | −4.91520e7 | − | 6.76520e7i | −0.0512756 | − | 0.0705748i | ||||
\(987\) | 1.64797e8 | − | 2.26824e8i | 0.171395 | − | 0.235905i | ||||
\(988\) | −4.76491e8 | − | 1.46649e9i | −0.494065 | − | 1.52058i | ||||
\(989\) | 1.27758e8i | 0.132068i | ||||||||
\(990\) | 1.76601e7 | − | 3.46097e7i | 0.0182007 | − | 0.0356692i | ||||
\(991\) | 1.28296e8 | 0.131823 | 0.0659116 | − | 0.997825i | \(-0.479004\pi\) | ||||
0.0659116 | + | 0.997825i | \(0.479004\pi\) | |||||||
\(992\) | −1.63190e8 | + | 5.30236e7i | −0.167170 | + | 0.0543168i | ||||
\(993\) | −8.57262e8 | − | 6.22838e8i | −0.875520 | − | 0.636102i | ||||
\(994\) | −6.34194e6 | + | 4.60769e6i | −0.00645748 | + | 0.00469163i | ||||
\(995\) | −1.76259e8 | + | 5.42470e8i | −0.178930 | + | 0.550689i | ||||
\(996\) | 1.60063e9 | + | 5.20075e8i | 1.61999 | + | 0.526366i | ||||
\(997\) | 5.34588e8 | + | 7.35797e8i | 0.539428 | + | 0.742459i | 0.988531 | − | 0.151021i | \(-0.0482562\pi\) |
−0.449103 | + | 0.893480i | \(0.648256\pi\) | |||||||
\(998\) | 4.03488e7 | − | 5.55353e7i | 0.0405918 | − | 0.0558698i | ||||
\(999\) | 481624. | + | 1.48229e6i | 0.000483072 | + | 0.00148674i |
(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 | 11.7.d.a.6.3 | yes | 20 | |
3.2 | odd | 2 | 99.7.k.a.28.3 | 20 | |||
11.2 | odd | 10 | inner | 11.7.d.a.2.3 | ✓ | 20 | |
11.3 | even | 5 | 121.7.b.c.120.10 | 20 | |||
11.8 | odd | 10 | 121.7.b.c.120.11 | 20 | |||
33.2 | even | 10 | 99.7.k.a.46.3 | 20 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
11.7.d.a.2.3 | ✓ | 20 | 11.2 | odd | 10 | inner | |
11.7.d.a.6.3 | yes | 20 | 1.1 | even | 1 | trivial | |
99.7.k.a.28.3 | 20 | 3.2 | odd | 2 | |||
99.7.k.a.46.3 | 20 | 33.2 | even | 10 | |||
121.7.b.c.120.10 | 20 | 11.3 | even | 5 | |||
121.7.b.c.120.11 | 20 | 11.8 | odd | 10 |