Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [91,8,Mod(30,91)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(91, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([2, 1]))
N = Newforms(chi, 8, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("91.30");
S:= CuspForms(chi, 8);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 91 = 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 8 \) |
Character orbit: | \([\chi]\) | \(=\) | 91.u (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(28.4270373191\) |
Analytic rank: | \(0\) |
Dimension: | \(126\) |
Relative dimension: | \(63\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 30.20 | ||
Character | \(\chi\) | \(=\) | 91.30 |
Dual form | 91.8.u.a.88.20 |
$q$-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 \(\left(\mathbb{Z}/91\mathbb{Z}\right)^\times\).
\(n\) | \(15\) | \(66\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{1}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −8.37044 | + | 4.83268i | −0.739849 | + | 0.427152i | −0.822015 | − | 0.569467i | \(-0.807150\pi\) |
0.0821652 | + | 0.996619i | \(0.473816\pi\) | |||||||
\(3\) | 37.7504 | 0.807229 | 0.403614 | − | 0.914929i | \(-0.367754\pi\) | ||||
0.403614 | + | 0.914929i | \(0.367754\pi\) | |||||||
\(4\) | −17.2905 | + | 29.9480i | −0.135082 | + | 0.233969i | ||||
\(5\) | 377.122 | + | 217.731i | 1.34923 | + | 0.778979i | 0.988141 | − | 0.153551i | \(-0.0490711\pi\) |
0.361091 | + | 0.932531i | \(0.382404\pi\) | |||||||
\(6\) | −315.987 | + | 182.435i | −0.597228 | + | 0.344810i | ||||
\(7\) | −808.021 | + | 413.093i | −0.890388 | + | 0.455202i | ||||
\(8\) | − | 1571.40i | − | 1.08511i | ||||||
\(9\) | −761.911 | −0.348382 | ||||||||
\(10\) | −4208.90 | −1.33097 | ||||||||
\(11\) | − | 7210.27i | − | 1.63334i | −0.577104 | − | 0.816671i | \(-0.695817\pi\) | ||
0.577104 | − | 0.816671i | \(-0.304183\pi\) | |||||||
\(12\) | −652.722 | + | 1130.55i | −0.109042 | + | 0.188866i | ||||
\(13\) | −4259.79 | − | 6678.53i | −0.537757 | − | 0.843100i | ||||
\(14\) | 4767.15 | − | 7362.67i | 0.464312 | − | 0.717112i | ||||
\(15\) | 14236.5 | + | 8219.43i | 1.08914 | + | 0.628814i | ||||
\(16\) | 5380.89 | + | 9319.98i | 0.328424 | + | 0.568847i | ||||
\(17\) | −15071.9 | + | 26105.2i | −0.744039 | + | 1.28871i | 0.206604 | + | 0.978425i | \(0.433759\pi\) |
−0.950643 | + | 0.310288i | \(0.899575\pi\) | |||||||
\(18\) | 6377.53 | − | 3682.07i | 0.257750 | − | 0.148812i | ||||
\(19\) | − | 42938.2i | − | 1.43617i | −0.695954 | − | 0.718086i | \(-0.745018\pi\) | ||
0.695954 | − | 0.718086i | \(-0.254982\pi\) | |||||||
\(20\) | −13041.2 | + | 7529.36i | −0.364514 | + | 0.210452i | ||||
\(21\) | −30503.1 | + | 15594.4i | −0.718747 | + | 0.367452i | ||||
\(22\) | 34844.9 | + | 60353.1i | 0.697685 | + | 1.20843i | ||||
\(23\) | −28824.1 | − | 49924.8i | −0.493979 | − | 0.855597i | 0.505997 | − | 0.862535i | \(-0.331125\pi\) |
−0.999976 | + | 0.00693831i | \(0.997791\pi\) | |||||||
\(24\) | − | 59321.0i | − | 0.875929i | ||||||
\(25\) | 55751.4 | + | 96564.2i | 0.713617 | + | 1.23602i | ||||
\(26\) | 67931.5 | + | 35316.0i | 0.757991 | + | 0.394062i | ||||
\(27\) | −111322. | −1.08845 | ||||||||
\(28\) | 1599.77 | − | 31341.2i | 0.0137723 | − | 0.269813i | ||||
\(29\) | −49998.0 | + | 86599.0i | −0.380679 | + | 0.659356i | −0.991160 | − | 0.132676i | \(-0.957643\pi\) |
0.610480 | + | 0.792032i | \(0.290977\pi\) | |||||||
\(30\) | −158887. | −1.07440 | ||||||||
\(31\) | 49670.5 | − | 28677.3i | 0.299455 | − | 0.172891i | −0.342743 | − | 0.939429i | \(-0.611356\pi\) |
0.642198 | + | 0.766539i | \(0.278023\pi\) | |||||||
\(32\) | 84111.0 | + | 48561.5i | 0.453762 | + | 0.261979i | ||||
\(33\) | − | 272190.i | − | 1.31848i | ||||||
\(34\) | − | 291350.i | − | 1.27127i | ||||||
\(35\) | −394665. | − | 20145.2i | −1.55593 | − | 0.0794208i | ||||
\(36\) | 13173.8 | − | 22817.7i | 0.0470601 | − | 0.0815105i | ||||
\(37\) | 27673.0 | − | 15977.0i | 0.0898154 | − | 0.0518549i | −0.454420 | − | 0.890788i | \(-0.650153\pi\) |
0.544235 | + | 0.838933i | \(0.316820\pi\) | |||||||
\(38\) | 207507. | + | 359412.i | 0.613464 | + | 1.06255i | ||||
\(39\) | −160809. | − | 252117.i | −0.434093 | − | 0.680574i | ||||
\(40\) | 342144. | − | 592610.i | 0.845276 | − | 1.46406i | ||||
\(41\) | 643220. | + | 371363.i | 1.45753 | + | 0.841503i | 0.998889 | − | 0.0471216i | \(-0.0150048\pi\) |
0.458636 | + | 0.888624i | \(0.348338\pi\) | |||||||
\(42\) | 179961. | − | 277943.i | 0.374806 | − | 0.578874i | ||||
\(43\) | −232943. | − | 403469.i | −0.446796 | − | 0.773874i | 0.551379 | − | 0.834255i | \(-0.314102\pi\) |
−0.998175 | + | 0.0603811i | \(0.980768\pi\) | |||||||
\(44\) | 215933. | + | 124669.i | 0.382151 | + | 0.220635i | ||||
\(45\) | −287333. | − | 165892.i | −0.470048 | − | 0.271382i | ||||
\(46\) | 482541. | + | 278595.i | 0.730940 | + | 0.422009i | ||||
\(47\) | −822662. | − | 474964.i | −1.15579 | − | 0.667296i | −0.205499 | − | 0.978657i | \(-0.565882\pi\) |
−0.950291 | + | 0.311362i | \(0.899215\pi\) | |||||||
\(48\) | 203131. | + | 351833.i | 0.265113 | + | 0.459189i | ||||
\(49\) | 482252. | − | 667575.i | 0.585582 | − | 0.810613i | ||||
\(50\) | −933327. | − | 538856.i | −1.05594 | − | 0.609646i | ||||
\(51\) | −568968. | + | 985481.i | −0.600609 | + | 1.04029i | ||||
\(52\) | 273662. | − | 12097.2i | 0.269900 | − | 0.0119309i | ||||
\(53\) | −241116. | − | 417626.i | −0.222465 | − | 0.385320i | 0.733091 | − | 0.680130i | \(-0.238077\pi\) |
−0.955556 | + | 0.294810i | \(0.904744\pi\) | |||||||
\(54\) | 931818. | − | 537985.i | 0.805291 | − | 0.464935i | ||||
\(55\) | 1.56990e6 | − | 2.71915e6i | 1.27234 | − | 2.20376i | ||||
\(56\) | 649135. | + | 1.26973e6i | 0.493943 | + | 0.966166i | ||||
\(57\) | − | 1.62093e6i | − | 1.15932i | ||||||
\(58\) | − | 966496.i | − | 0.650432i | ||||||
\(59\) | −1.44985e6 | − | 837069.i | −0.919051 | − | 0.530614i | −0.0357189 | − | 0.999362i | \(-0.511372\pi\) |
−0.883332 | + | 0.468747i | \(0.844705\pi\) | |||||||
\(60\) | −492311. | + | 284236.i | −0.294246 | + | 0.169883i | ||||
\(61\) | 1.43978e6 | 0.812159 | 0.406080 | − | 0.913838i | \(-0.366896\pi\) | ||||
0.406080 | + | 0.913838i | \(0.366896\pi\) | |||||||
\(62\) | −277176. | + | 480082.i | −0.147701 | + | 0.255826i | ||||
\(63\) | 615640. | − | 314740.i | 0.310195 | − | 0.158584i | ||||
\(64\) | −2.31624e6 | −1.10447 | ||||||||
\(65\) | −152335. | − | 3.44611e6i | −0.0688021 | − | 1.55644i | ||||
\(66\) | 1.31541e6 | + | 2.27835e6i | 0.563192 | + | 0.975476i | ||||
\(67\) | − | 2.52182e6i | − | 1.02436i | −0.858878 | − | 0.512180i | \(-0.828838\pi\) | ||
0.858878 | − | 0.512180i | \(-0.171162\pi\) | |||||||
\(68\) | −521200. | − | 902744.i | −0.201012 | − | 0.348164i | ||||
\(69\) | −1.08812e6 | − | 1.88468e6i | −0.398754 | − | 0.690663i | ||||
\(70\) | 3.40088e6 | − | 1.73867e6i | 1.18508 | − | 0.605861i | ||||
\(71\) | −906768. | + | 523523.i | −0.300671 | + | 0.173593i | −0.642744 | − | 0.766081i | \(-0.722204\pi\) |
0.342073 | + | 0.939673i | \(0.388871\pi\) | |||||||
\(72\) | 1.19727e6i | 0.378031i | ||||||||
\(73\) | −3.86146e6 | + | 2.22941e6i | −1.16177 | + | 0.670750i | −0.951728 | − | 0.306942i | \(-0.900694\pi\) |
−0.210045 | + | 0.977692i | \(0.567361\pi\) | |||||||
\(74\) | −154424. | + | 267470.i | −0.0442999 | + | 0.0767297i | ||||
\(75\) | 2.10463e6 | + | 3.64533e6i | 0.576052 | + | 0.997752i | ||||
\(76\) | 1.28591e6 | + | 742423.i | 0.336020 | + | 0.194001i | ||||
\(77\) | 2.97851e6 | + | 5.82604e6i | 0.743500 | + | 1.45431i | ||||
\(78\) | 2.56444e6 | + | 1.33319e6i | 0.611872 | + | 0.318099i | ||||
\(79\) | −1.93303e6 | + | 3.34811e6i | −0.441107 | + | 0.764020i | −0.997772 | − | 0.0667174i | \(-0.978747\pi\) |
0.556665 | + | 0.830737i | \(0.312081\pi\) | |||||||
\(80\) | 4.68636e6i | 1.02334i | ||||||||
\(81\) | −2.53616e6 | −0.530248 | ||||||||
\(82\) | −7.17871e6 | −1.43780 | ||||||||
\(83\) | 5.42351e6i | 1.04113i | 0.853821 | + | 0.520567i | \(0.174280\pi\) | ||||
−0.853821 | + | 0.520567i | \(0.825720\pi\) | |||||||
\(84\) | 60392.1 | − | 1.18314e6i | 0.0111174 | − | 0.217801i | ||||
\(85\) | −1.13678e7 | + | 6.56323e6i | −2.00776 | + | 1.15918i | ||||
\(86\) | 3.89966e6 | + | 2.25147e6i | 0.661124 | + | 0.381700i | ||||
\(87\) | −1.88744e6 | + | 3.26914e6i | −0.307295 | + | 0.532251i | ||||
\(88\) | −1.13302e7 | −1.77235 | ||||||||
\(89\) | 2.39248e6 | − | 1.38130e6i | 0.359735 | − | 0.207693i | −0.309229 | − | 0.950988i | \(-0.600071\pi\) |
0.668965 | + | 0.743294i | \(0.266738\pi\) | |||||||
\(90\) | 3.20681e6 | 0.463686 | ||||||||
\(91\) | 6.20085e6 | + | 3.63670e6i | 0.862594 | + | 0.505898i | ||||
\(92\) | 1.99353e6 | 0.266911 | ||||||||
\(93\) | 1.87508e6 | − | 1.08258e6i | 0.241729 | − | 0.139562i | ||||
\(94\) | 9.18139e6 | 1.14015 | ||||||||
\(95\) | 9.34900e6 | − | 1.61929e7i | 1.11875 | − | 1.93773i | ||||
\(96\) | 3.17522e6 | + | 1.83321e6i | 0.366290 | + | 0.211477i | ||||
\(97\) | 2.67492e6 | − | 1.54436e6i | 0.297584 | − | 0.171810i | −0.343773 | − | 0.939053i | \(-0.611705\pi\) |
0.641357 | + | 0.767243i | \(0.278372\pi\) | |||||||
\(98\) | −810489. | + | 7.91846e6i | −0.0869873 | + | 0.849864i | ||||
\(99\) | 5.49358e6i | 0.569026i | ||||||||
\(100\) | −3.85587e6 | −0.385587 | ||||||||
\(101\) | 2.97138e6 | 0.286968 | 0.143484 | − | 0.989653i | \(-0.454169\pi\) | ||||
0.143484 | + | 0.989653i | \(0.454169\pi\) | |||||||
\(102\) | − | 1.09985e7i | − | 1.02621i | ||||||
\(103\) | 3.50148e6 | − | 6.06474e6i | 0.315734 | − | 0.546867i | −0.663859 | − | 0.747857i | \(-0.731083\pi\) |
0.979593 | + | 0.200990i | \(0.0644160\pi\) | |||||||
\(104\) | −1.04947e7 | + | 6.69384e6i | −0.914853 | + | 0.583524i | ||||
\(105\) | −1.48988e7 | − | 760490.i | −1.25599 | − | 0.0641107i | ||||
\(106\) | 4.03650e6 | + | 2.33047e6i | 0.329181 | + | 0.190053i | ||||
\(107\) | −6.62358e6 | − | 1.14724e7i | −0.522697 | − | 0.905337i | −0.999651 | − | 0.0264091i | \(-0.991593\pi\) |
0.476955 | − | 0.878928i | \(-0.341741\pi\) | |||||||
\(108\) | 1.92482e6 | − | 3.33389e6i | 0.147030 | − | 0.254664i | ||||
\(109\) | −6.49605e6 | + | 3.75050e6i | −0.480459 | + | 0.277393i | −0.720608 | − | 0.693343i | \(-0.756137\pi\) |
0.240149 | + | 0.970736i | \(0.422804\pi\) | |||||||
\(110\) | 3.03473e7i | 2.17393i | ||||||||
\(111\) | 1.04467e6 | − | 603138.i | 0.0725015 | − | 0.0418588i | ||||
\(112\) | −8.19789e6 | − | 5.30793e6i | −0.551365 | − | 0.356995i | ||||
\(113\) | 4.43308e6 | + | 7.67832e6i | 0.289022 | + | 0.500601i | 0.973577 | − | 0.228361i | \(-0.0733366\pi\) |
−0.684555 | + | 0.728962i | \(0.740003\pi\) | |||||||
\(114\) | 7.83345e6 | + | 1.35679e7i | 0.495206 | + | 0.857722i | ||||
\(115\) | − | 2.51037e7i | − | 1.53920i | ||||||
\(116\) | −1.72898e6 | − | 2.99468e6i | −0.102846 | − | 0.178134i | ||||
\(117\) | 3.24558e6 | + | 5.08844e6i | 0.187345 | + | 0.293721i | ||||
\(118\) | 1.61811e7 | 0.906612 | ||||||||
\(119\) | 1.39450e6 | − | 2.73196e7i | 0.0758584 | − | 1.48614i | ||||
\(120\) | 1.29160e7 | − | 2.23712e7i | 0.682331 | − | 1.18183i | ||||
\(121\) | −3.25008e7 | −1.66780 | ||||||||
\(122\) | −1.20516e7 | + | 6.95798e6i | −0.600875 | + | 0.346916i | ||||
\(123\) | 2.42818e7 | + | 1.40191e7i | 1.17656 | + | 0.679285i | ||||
\(124\) | 1.98338e6i | 0.0934177i | ||||||||
\(125\) | 1.45347e7i | 0.665614i | ||||||||
\(126\) | −3.63214e6 | + | 5.60970e6i | −0.161758 | + | 0.249829i | ||||
\(127\) | −2.35264e6 | + | 4.07490e6i | −0.101916 | + | 0.176524i | −0.912474 | − | 0.409134i | \(-0.865831\pi\) |
0.810558 | + | 0.585659i | \(0.199164\pi\) | |||||||
\(128\) | 8.62171e6 | − | 4.97775e6i | 0.363378 | − | 0.209796i | ||||
\(129\) | −8.79367e6 | − | 1.52311e7i | −0.360667 | − | 0.624693i | ||||
\(130\) | 1.79290e7 | + | 2.81092e7i | 0.715739 | + | 1.12214i | ||||
\(131\) | 1.30027e7 | − | 2.25213e7i | 0.505340 | − | 0.875275i | −0.494641 | − | 0.869098i | \(-0.664700\pi\) |
0.999981 | − | 0.00617756i | \(-0.00196639\pi\) | |||||||
\(132\) | 8.15155e6 | + | 4.70630e6i | 0.308483 | + | 0.178103i | ||||
\(133\) | 1.77375e7 | + | 3.46950e7i | 0.653749 | + | 1.27875i | ||||
\(134\) | 1.21871e7 | + | 2.11088e7i | 0.437558 | + | 0.757872i | ||||
\(135\) | −4.19821e7 | − | 2.42384e7i | −1.46857 | − | 0.847882i | ||||
\(136\) | 4.10218e7 | + | 2.36839e7i | 1.39839 | + | 0.807361i | ||||
\(137\) | 381748. | + | 220402.i | 0.0126840 | + | 0.00732308i | 0.506329 | − | 0.862341i | \(-0.331002\pi\) |
−0.493645 | + | 0.869664i | \(0.664336\pi\) | |||||||
\(138\) | 1.82161e7 | + | 1.05171e7i | 0.590036 | + | 0.340657i | ||||
\(139\) | 7.52791e6 | + | 1.30387e7i | 0.237751 | + | 0.411797i | 0.960069 | − | 0.279765i | \(-0.0902564\pi\) |
−0.722318 | + | 0.691562i | \(0.756923\pi\) | |||||||
\(140\) | 7.42727e6 | − | 1.14711e7i | 0.228760 | − | 0.353312i | ||||
\(141\) | −3.10558e7 | − | 1.79301e7i | −0.932987 | − | 0.538660i | ||||
\(142\) | 5.06003e6 | − | 8.76423e6i | 0.148301 | − | 0.256865i | ||||
\(143\) | −4.81540e7 | + | 3.07142e7i | −1.37707 | + | 0.878341i | ||||
\(144\) | −4.09976e6 | − | 7.10100e6i | −0.114417 | − | 0.198176i | ||||
\(145\) | −3.77106e7 | + | 2.17722e7i | −1.02725 | + | 0.593083i | ||||
\(146\) | 2.15481e7 | − | 3.73223e7i | 0.573025 | − | 0.992508i | ||||
\(147\) | 1.82052e7 | − | 2.52012e7i | 0.472699 | − | 0.654350i | ||||
\(148\) | 1.10500e6i | 0.0280187i | ||||||||
\(149\) | − | 2.28935e7i | − | 0.566970i | −0.958977 | − | 0.283485i | \(-0.908509\pi\) | ||
0.958977 | − | 0.283485i | \(-0.0914906\pi\) | |||||||
\(150\) | −3.52334e7 | − | 2.03420e7i | −0.852384 | − | 0.492124i | ||||
\(151\) | −1.60506e7 | + | 9.26684e6i | −0.379379 | + | 0.219035i | −0.677548 | − | 0.735479i | \(-0.736957\pi\) |
0.298169 | + | 0.954513i | \(0.403624\pi\) | |||||||
\(152\) | −6.74732e7 | −1.55840 | ||||||||
\(153\) | 1.14834e7 | − | 1.98899e7i | 0.259210 | − | 0.448964i | ||||
\(154\) | −5.30868e7 | − | 3.43724e7i | −1.17129 | − | 0.758381i | ||||
\(155\) | 2.49757e7 | 0.538713 | ||||||||
\(156\) | 1.03309e7 | − | 456674.i | 0.217871 | − | 0.00963097i | ||||
\(157\) | −1.51988e7 | − | 2.63251e7i | −0.313445 | − | 0.542902i | 0.665661 | − | 0.746254i | \(-0.268150\pi\) |
−0.979106 | + | 0.203352i | \(0.934816\pi\) | |||||||
\(158\) | − | 3.73668e7i | − | 0.753679i | ||||||
\(159\) | −9.10222e6 | − | 1.57655e7i | −0.179580 | − | 0.311041i | ||||
\(160\) | 2.11467e7 | + | 3.66272e7i | 0.408153 | + | 0.706942i | ||||
\(161\) | 4.39141e7 | + | 2.84333e7i | 0.829303 | + | 0.536953i | ||||
\(162\) | 2.12288e7 | − | 1.22564e7i | 0.392304 | − | 0.226497i | ||||
\(163\) | 3.46429e7i | 0.626553i | 0.949662 | + | 0.313276i | \(0.101427\pi\) | ||||
−0.949662 | + | 0.313276i | \(0.898573\pi\) | |||||||
\(164\) | −2.22432e7 | + | 1.28421e7i | −0.393771 | + | 0.227344i | ||||
\(165\) | 5.92643e7 | − | 1.02649e8i | 1.02707 | − | 1.77893i | ||||
\(166\) | −2.62101e7 | − | 4.53972e7i | −0.444723 | − | 0.770283i | ||||
\(167\) | 6.78834e7 | + | 3.91925e7i | 1.12786 | + | 0.651171i | 0.943396 | − | 0.331668i | \(-0.107611\pi\) |
0.184466 | + | 0.982839i | \(0.440945\pi\) | |||||||
\(168\) | 2.45051e7 | + | 4.79326e7i | 0.398725 | + | 0.779917i | ||||
\(169\) | −2.64569e7 | + | 5.68982e7i | −0.421634 | + | 0.906766i | ||||
\(170\) | 6.34359e7 | − | 1.09874e8i | 0.990294 | − | 1.71524i | ||||
\(171\) | 3.27151e7i | 0.500336i | ||||||||
\(172\) | 1.61108e7 | 0.241416 | ||||||||
\(173\) | −4.85137e7 | −0.712366 | −0.356183 | − | 0.934416i | \(-0.615922\pi\) | ||||
−0.356183 | + | 0.934416i | \(0.615922\pi\) | |||||||
\(174\) | − | 3.64856e7i | − | 0.525048i | ||||||
\(175\) | −8.49382e7 | − | 5.49954e7i | −1.19804 | − | 0.775699i | ||||
\(176\) | 6.71996e7 | − | 3.87977e7i | 0.929121 | − | 0.536428i | ||||
\(177\) | −5.47322e7 | − | 3.15996e7i | −0.741884 | − | 0.428327i | ||||
\(178\) | −1.33507e7 | + | 2.31242e7i | −0.177433 | + | 0.307324i | ||||
\(179\) | −4.18849e7 | −0.545848 | −0.272924 | − | 0.962036i | \(-0.587991\pi\) | ||||
−0.272924 | + | 0.962036i | \(0.587991\pi\) | |||||||
\(180\) | 9.93627e6 | − | 5.73671e6i | 0.126990 | − | 0.0733177i | ||||
\(181\) | 4.01125e7 | 0.502812 | 0.251406 | − | 0.967882i | \(-0.419107\pi\) | ||||
0.251406 | + | 0.967882i | \(0.419107\pi\) | |||||||
\(182\) | −6.94788e7 | − | 474097.i | −0.854285 | − | 0.00582931i | ||||
\(183\) | 5.43521e7 | 0.655598 | ||||||||
\(184\) | −7.84520e7 | + | 4.52943e7i | −0.928414 | + | 0.536020i | ||||
\(185\) | 1.39148e7 | 0.161576 | ||||||||
\(186\) | −1.04635e7 | + | 1.81233e7i | −0.119229 | + | 0.206510i | ||||
\(187\) | 1.88226e8 | + | 1.08672e8i | 2.10491 | + | 1.21527i | ||||
\(188\) | 2.84485e7 | − | 1.64247e7i | 0.312253 | − | 0.180279i | ||||
\(189\) | 8.99508e7 | − | 4.59865e7i | 0.969145 | − | 0.495466i | ||||
\(190\) | 1.80723e8i | 1.91150i | ||||||||
\(191\) | −1.87927e8 | −1.95152 | −0.975759 | − | 0.218846i | \(-0.929771\pi\) | ||||
−0.975759 | + | 0.218846i | \(0.929771\pi\) | |||||||
\(192\) | −8.74388e7 | −0.891558 | ||||||||
\(193\) | − | 2.19599e7i | − | 0.219877i | −0.993938 | − | 0.109938i | \(-0.964935\pi\) | ||
0.993938 | − | 0.109938i | \(-0.0350654\pi\) | |||||||
\(194\) | −1.49268e7 | + | 2.58540e7i | −0.146778 | + | 0.254227i | ||||
\(195\) | −5.75068e6 | − | 1.30092e8i | −0.0555390 | − | 1.25640i | ||||
\(196\) | 1.16542e7 | + | 2.59852e7i | 0.110557 | + | 0.246507i | ||||
\(197\) | −5.34766e7 | − | 3.08748e7i | −0.498348 | − | 0.287721i | 0.229683 | − | 0.973265i | \(-0.426231\pi\) |
−0.728031 | + | 0.685544i | \(0.759564\pi\) | |||||||
\(198\) | −2.65487e7 | − | 4.59837e7i | −0.243061 | − | 0.420994i | ||||
\(199\) | 6.80970e7 | − | 1.17947e8i | 0.612551 | − | 1.06097i | −0.378258 | − | 0.925700i | \(-0.623477\pi\) |
0.990809 | − | 0.135269i | \(-0.0431900\pi\) | |||||||
\(200\) | 1.51741e8 | − | 8.76078e7i | 1.34122 | − | 0.774351i | ||||
\(201\) | − | 9.51997e7i | − | 0.826893i | ||||||
\(202\) | −2.48717e7 | + | 1.43597e7i | −0.212313 | + | 0.122579i | ||||
\(203\) | 4.62598e6 | − | 9.06276e7i | 0.0388122 | − | 0.760369i | ||||
\(204\) | −1.96755e7 | − | 3.40789e7i | −0.162263 | − | 0.281048i | ||||
\(205\) | 1.61715e8 | + | 2.80098e8i | 1.31103 | + | 2.27076i | ||||
\(206\) | 6.76860e7i | 0.539466i | ||||||||
\(207\) | 2.19614e7 | + | 3.80383e7i | 0.172093 | + | 0.298074i | ||||
\(208\) | 3.93223e7 | − | 7.56376e7i | 0.302982 | − | 0.582795i | ||||
\(209\) | −3.09596e8 | −2.34576 | ||||||||
\(210\) | 1.28384e8 | − | 6.56352e7i | 0.956631 | − | 0.489068i | ||||
\(211\) | −4.75998e7 | + | 8.24453e7i | −0.348832 | + | 0.604195i | −0.986042 | − | 0.166495i | \(-0.946755\pi\) |
0.637210 | + | 0.770690i | \(0.280088\pi\) | |||||||
\(212\) | 1.66761e7 | 0.120204 | ||||||||
\(213\) | −3.42308e7 | + | 1.97632e7i | −0.242711 | + | 0.140129i | ||||
\(214\) | 1.10885e8 | + | 6.40192e7i | 0.773433 | + | 0.446542i | ||||
\(215\) | − | 2.02876e8i | − | 1.39218i | ||||||
\(216\) | 1.74932e8i | 1.18109i | ||||||||
\(217\) | −2.82884e7 | + | 4.36903e7i | −0.187931 | + | 0.290253i | ||||
\(218\) | 3.62499e7 | − | 6.27866e7i | 0.236978 | − | 0.410459i | ||||
\(219\) | −1.45771e8 | + | 8.41612e7i | −0.937817 | + | 0.541449i | ||||
\(220\) | 5.42887e7 | + | 9.40308e7i | 0.343740 | + | 0.595375i | ||||
\(221\) | 2.38547e8 | − | 1.05449e7i | 1.48663 | − | 0.0657160i | ||||
\(222\) | −5.82955e6 | + | 1.00971e7i | −0.0357601 | + | 0.0619384i | ||||
\(223\) | −2.50980e8 | − | 1.44904e8i | −1.51556 | − | 0.875009i | −0.999833 | − | 0.0182549i | \(-0.994189\pi\) |
−0.515726 | − | 0.856754i | \(-0.672478\pi\) | |||||||
\(224\) | −8.80238e7 | − | 4.49308e6i | −0.523278 | − | 0.0267101i | ||||
\(225\) | −4.24776e7 | − | 7.35733e7i | −0.248611 | − | 0.430607i | ||||
\(226\) | −7.42136e7 | − | 4.28472e7i | −0.427665 | − | 0.246913i | ||||
\(227\) | 1.06089e8 | + | 6.12506e7i | 0.601978 | + | 0.347552i | 0.769819 | − | 0.638262i | \(-0.220346\pi\) |
−0.167842 | + | 0.985814i | \(0.553680\pi\) | |||||||
\(228\) | 4.85437e7 | + | 2.80267e7i | 0.271245 | + | 0.156603i | ||||
\(229\) | −1.78644e8 | − | 1.03140e8i | −0.983022 | − | 0.567548i | −0.0798410 | − | 0.996808i | \(-0.525441\pi\) |
−0.903181 | + | 0.429259i | \(0.858775\pi\) | |||||||
\(230\) | 1.21318e8 | + | 2.10129e8i | 0.657472 | + | 1.13877i | ||||
\(231\) | 1.12440e8 | + | 2.19935e8i | 0.600175 | + | 1.17396i | ||||
\(232\) | 1.36082e8 | + | 7.85669e7i | 0.715472 | + | 0.413078i | ||||
\(233\) | 4.21300e6 | − | 7.29713e6i | 0.0218195 | − | 0.0377925i | −0.854909 | − | 0.518777i | \(-0.826387\pi\) |
0.876729 | + | 0.480985i | \(0.159721\pi\) | |||||||
\(234\) | −5.17577e7 | − | 2.69077e7i | −0.264070 | − | 0.137284i | ||||
\(235\) | −2.06829e8 | − | 3.58239e8i | −1.03962 | − | 1.80067i | ||||
\(236\) | 5.01371e7 | − | 2.89467e7i | 0.248294 | − | 0.143353i | ||||
\(237\) | −7.29726e7 | + | 1.26392e8i | −0.356074 | + | 0.616739i | ||||
\(238\) | 1.20354e8 | + | 2.35416e8i | 0.578685 | + | 1.13192i | ||||
\(239\) | 3.25389e8i | 1.54174i | 0.636994 | + | 0.770868i | \(0.280177\pi\) | ||||
−0.636994 | + | 0.770868i | \(0.719823\pi\) | |||||||
\(240\) | 1.76912e8i | 0.826070i | ||||||||
\(241\) | 2.54936e8 | + | 1.47187e8i | 1.17320 | + | 0.677347i | 0.954431 | − | 0.298430i | \(-0.0964630\pi\) |
0.218768 | + | 0.975777i | \(0.429796\pi\) | |||||||
\(242\) | 2.72046e8 | − | 1.57066e8i | 1.23392 | − | 0.712406i | ||||
\(243\) | 1.47721e8 | 0.660421 | ||||||||
\(244\) | −2.48945e7 | + | 4.31185e7i | −0.109708 | + | 0.190020i | ||||
\(245\) | 3.27220e8 | − | 1.46756e8i | 1.42154 | − | 0.637549i | ||||
\(246\) | −2.70999e8 | −1.16063 | ||||||||
\(247\) | −2.86764e8 | + | 1.82908e8i | −1.21084 | + | 0.772312i | ||||
\(248\) | −4.50635e7 | − | 7.80523e7i | −0.187605 | − | 0.324941i | ||||
\(249\) | 2.04739e8i | 0.840434i | ||||||||
\(250\) | −7.02417e7 | − | 1.21662e8i | −0.284318 | − | 0.492454i | ||||
\(251\) | 6.33053e7 | + | 1.09648e8i | 0.252687 | + | 0.437666i | 0.964265 | − | 0.264941i | \(-0.0853525\pi\) |
−0.711578 | + | 0.702607i | \(0.752019\pi\) | |||||||
\(252\) | −1.21889e6 | + | 2.38792e7i | −0.00479801 | + | 0.0939978i | ||||
\(253\) | −3.59971e8 | + | 2.07830e8i | −1.39748 | + | 0.806837i | ||||
\(254\) | − | 4.54783e7i | − | 0.174135i | ||||||
\(255\) | −4.29140e8 | + | 2.47764e8i | −1.62072 | + | 0.935724i | ||||
\(256\) | 1.00127e8 | − | 1.73426e8i | 0.373004 | − | 0.646062i | ||||
\(257\) | −3.30253e7 | − | 5.72016e7i | −0.121362 | − | 0.210204i | 0.798943 | − | 0.601406i | \(-0.205393\pi\) |
−0.920305 | + | 0.391202i | \(0.872059\pi\) | |||||||
\(258\) | 1.47214e8 | + | 8.49939e7i | 0.533678 | + | 0.308119i | ||||
\(259\) | −1.57604e7 | + | 2.43413e7i | −0.0563661 | + | 0.0870552i | ||||
\(260\) | 1.05838e8 | + | 5.50228e7i | 0.373452 | + | 0.194149i | ||||
\(261\) | 3.80940e7 | − | 6.59807e7i | 0.132622 | − | 0.229708i | ||||
\(262\) | 2.51351e8i | 0.863429i | ||||||||
\(263\) | −2.49131e8 | −0.844466 | −0.422233 | − | 0.906487i | \(-0.638754\pi\) | ||||
−0.422233 | + | 0.906487i | \(0.638754\pi\) | |||||||
\(264\) | −4.27720e8 | −1.43069 | ||||||||
\(265\) | − | 2.09994e8i | − | 0.693181i | ||||||
\(266\) | −3.16140e8 | − | 2.04693e8i | −1.02990 | − | 0.666833i | ||||
\(267\) | 9.03169e7 | − | 5.21445e7i | 0.290389 | − | 0.167656i | ||||
\(268\) | 7.55236e7 | + | 4.36035e7i | 0.239668 | + | 0.138373i | ||||
\(269\) | 3.00364e7 | − | 5.20246e7i | 0.0940838 | − | 0.162958i | −0.815142 | − | 0.579261i | \(-0.803341\pi\) |
0.909226 | + | 0.416303i | \(0.136675\pi\) | |||||||
\(270\) | 4.68545e8 | 1.44870 | ||||||||
\(271\) | −7.25904e7 | + | 4.19101e7i | −0.221558 | + | 0.127916i | −0.606671 | − | 0.794953i | \(-0.707496\pi\) |
0.385114 | + | 0.922869i | \(0.374162\pi\) | |||||||
\(272\) | −3.24400e8 | −0.977440 | ||||||||
\(273\) | 2.34084e8 | + | 1.37287e8i | 0.696310 | + | 0.408375i | ||||
\(274\) | −4.26053e6 | −0.0125123 | ||||||||
\(275\) | 6.96253e8 | − | 4.01982e8i | 2.01884 | − | 1.16558i | ||||
\(276\) | 7.52566e7 | 0.215458 | ||||||||
\(277\) | −9.30040e7 | + | 1.61088e8i | −0.262919 | + | 0.455390i | −0.967016 | − | 0.254714i | \(-0.918019\pi\) |
0.704097 | + | 0.710104i | \(0.251352\pi\) | |||||||
\(278\) | −1.26024e8 | − | 7.27599e7i | −0.351800 | − | 0.203112i | ||||
\(279\) | −3.78445e7 | + | 2.18495e7i | −0.104325 | + | 0.0602320i | ||||
\(280\) | −3.16563e7 | + | 6.20178e8i | −0.0861800 | + | 1.68835i | ||||
\(281\) | 8.43156e7i | 0.226692i | 0.993556 | + | 0.113346i | \(0.0361568\pi\) | ||||
−0.993556 | + | 0.113346i | \(0.963843\pi\) | |||||||
\(282\) | 3.46601e8 | 0.920360 | ||||||||
\(283\) | −5.95085e8 | −1.56073 | −0.780363 | − | 0.625326i | \(-0.784966\pi\) | ||||
−0.780363 | + | 0.625326i | \(0.784966\pi\) | |||||||
\(284\) | − | 3.62079e7i | − | 0.0937970i | ||||||
\(285\) | 3.52928e8 | − | 6.11289e8i | 0.903086 | − | 1.56419i | ||||
\(286\) | 2.54638e8 | − | 4.89804e8i | 0.643638 | − | 1.23806i | ||||
\(287\) | −6.73143e8 | − | 3.43598e7i | −1.68082 | − | 0.0857954i | ||||
\(288\) | −6.40851e7 | − | 3.69996e7i | −0.158082 | − | 0.0912689i | ||||
\(289\) | −2.49152e8 | − | 4.31544e8i | −0.607187 | − | 1.05168i | ||||
\(290\) | 2.10436e8 | − | 3.64487e8i | 0.506673 | − | 0.877584i | ||||
\(291\) | 1.00979e8 | − | 5.83003e7i | 0.240218 | − | 0.138690i | ||||
\(292\) | − | 1.54191e8i | − | 0.362425i | ||||||
\(293\) | 3.46128e8 | − | 1.99837e8i | 0.803896 | − | 0.464130i | −0.0409356 | − | 0.999162i | \(-0.513034\pi\) |
0.844832 | + | 0.535032i | \(0.179701\pi\) | |||||||
\(294\) | −3.05963e7 | + | 2.98925e8i | −0.0702187 | + | 0.686035i | ||||
\(295\) | −3.64512e8 | − | 6.31354e8i | −0.826675 | − | 1.43184i | ||||
\(296\) | −2.51063e7 | − | 4.34855e7i | −0.0562681 | − | 0.0974593i | ||||
\(297\) | 8.02664e8i | 1.77781i | ||||||||
\(298\) | 1.10637e8 | + | 1.91629e8i | 0.242183 | + | 0.419472i | ||||
\(299\) | −2.10640e8 | + | 4.05172e8i | −0.455713 | + | 0.876577i | ||||
\(300\) | −1.45561e8 | −0.311257 | ||||||||
\(301\) | 3.54892e8 | + | 2.29784e8i | 0.750091 | + | 0.485665i | ||||
\(302\) | 8.95673e7 | − | 1.55135e8i | 0.187122 | − | 0.324105i | ||||
\(303\) | 1.12171e8 | 0.231649 | ||||||||
\(304\) | 4.00184e8 | − | 2.31046e8i | 0.816962 | − | 0.471673i | ||||
\(305\) | 5.42972e8 | + | 3.13485e8i | 1.09579 | + | 0.632655i | ||||
\(306\) | 2.21982e8i | 0.442888i | ||||||||
\(307\) | 5.29588e7i | 0.104461i | 0.998635 | + | 0.0522305i | \(0.0166330\pi\) | ||||
−0.998635 | + | 0.0522305i | \(0.983367\pi\) | |||||||
\(308\) | −2.25978e8 | − | 1.15348e7i | −0.440696 | − | 0.0224948i | ||||
\(309\) | 1.32182e8 | − | 2.28946e8i | 0.254869 | − | 0.441447i | ||||
\(310\) | −2.09058e8 | + | 1.20700e8i | −0.398566 | + | 0.230112i | ||||
\(311\) | −4.33303e8 | − | 7.50503e8i | −0.816828 | − | 1.41479i | −0.908008 | − | 0.418953i | \(-0.862397\pi\) |
0.0911803 | − | 0.995834i | \(-0.470936\pi\) | |||||||
\(312\) | −3.96177e8 | + | 2.52695e8i | −0.738496 | + | 0.471037i | ||||
\(313\) | −1.96260e8 | + | 3.39932e8i | −0.361765 | + | 0.626595i | −0.988251 | − | 0.152837i | \(-0.951159\pi\) |
0.626487 | + | 0.779432i | \(0.284492\pi\) | |||||||
\(314\) | 2.54442e8 | + | 1.46902e8i | 0.463804 | + | 0.267777i | ||||
\(315\) | 3.00700e8 | + | 1.53489e7i | 0.542059 | + | 0.0276688i | ||||
\(316\) | −6.68461e7 | − | 1.15781e8i | −0.119171 | − | 0.206411i | ||||
\(317\) | −5.26947e8 | − | 3.04233e8i | −0.929093 | − | 0.536412i | −0.0425687 | − | 0.999094i | \(-0.513554\pi\) |
−0.886525 | + | 0.462681i | \(0.846887\pi\) | |||||||
\(318\) | 1.52379e8 | + | 8.79762e7i | 0.265724 | + | 0.153416i | ||||
\(319\) | 6.24402e8 | + | 3.60499e8i | 1.07695 | + | 0.621779i | ||||
\(320\) | −8.73503e8 | − | 5.04317e8i | −1.49018 | − | 0.860358i | ||||
\(321\) | −2.50043e8 | − | 4.33086e8i | −0.421936 | − | 0.730814i | ||||
\(322\) | −5.04989e8 | − | 2.57766e7i | −0.842920 | − | 0.0430259i | ||||
\(323\) | 1.12091e9 | + | 6.47159e8i | 1.85081 | + | 1.06857i | ||||
\(324\) | 4.38515e7 | − | 7.59530e7i | 0.0716270 | − | 0.124062i | ||||
\(325\) | 4.07417e8 | − | 7.83680e8i | 0.658336 | − | 1.26633i | ||||
\(326\) | −1.67418e8 | − | 2.89976e8i | −0.267633 | − | 0.463555i | ||||
\(327\) | −2.45228e8 | + | 1.41583e8i | −0.387841 | + | 0.223920i | ||||
\(328\) | 5.83561e8 | − | 1.01076e9i | 0.913120 | − | 1.58157i | ||||
\(329\) | 8.60932e8 | + | 4.39453e7i | 1.33286 | + | 0.0680341i | ||||
\(330\) | 1.14562e9i | 1.75486i | ||||||||
\(331\) | 6.13243e8i | 0.929468i | 0.885450 | + | 0.464734i | \(0.153850\pi\) | ||||
−0.885450 | + | 0.464734i | \(0.846150\pi\) | |||||||
\(332\) | −1.62423e8 | − | 9.37751e7i | −0.243593 | − | 0.140639i | ||||
\(333\) | −2.10844e7 | + | 1.21731e7i | −0.0312900 | + | 0.0180653i | ||||
\(334\) | −7.57619e8 | −1.11260 | ||||||||
\(335\) | 5.49080e8 | − | 9.51034e8i | 0.797955 | − | 1.38210i | ||||
\(336\) | −3.09473e8 | − | 2.00376e8i | −0.445077 | − | 0.288177i | ||||
\(337\) | 1.29241e9 | 1.83949 | 0.919743 | − | 0.392521i | \(-0.128397\pi\) | ||||
0.919743 | + | 0.392521i | \(0.128397\pi\) | |||||||
\(338\) | −5.35147e7 | − | 6.04121e8i | −0.0753815 | − | 0.850972i | ||||
\(339\) | 1.67350e8 | + | 2.89859e8i | 0.233307 | + | 0.404099i | ||||
\(340\) | − | 4.53926e8i | − | 0.626338i | ||||||
\(341\) | −2.06771e8 | − | 3.58137e8i | −0.282389 | − | 0.489113i | ||||
\(342\) | −1.58102e8 | − | 2.73840e8i | −0.213720 | − | 0.370174i | ||||
\(343\) | −1.13899e8 | + | 7.38629e8i | −0.152403 | + | 0.988319i | ||||
\(344\) | −6.34011e8 | + | 3.66047e8i | −0.839735 | + | 0.484822i | ||||
\(345\) | − | 9.47672e8i | − | 1.24248i | ||||||
\(346\) | 4.06081e8 | − | 2.34451e8i | 0.527044 | − | 0.304289i | ||||
\(347\) | 6.32120e8 | − | 1.09486e9i | 0.812168 | − | 1.40672i | −0.0991749 | − | 0.995070i | \(-0.531620\pi\) |
0.911343 | − | 0.411647i | \(-0.135046\pi\) | |||||||
\(348\) | −6.52696e7 | − | 1.13050e8i | −0.0830201 | − | 0.143795i | ||||
\(349\) | −1.04945e9 | − | 6.05901e8i | −1.32152 | − | 0.762979i | −0.337547 | − | 0.941309i | \(-0.609597\pi\) |
−0.983971 | + | 0.178330i | \(0.942931\pi\) | |||||||
\(350\) | 9.76745e8 | + | 4.98568e7i | 1.21771 | + | 0.0621565i | ||||
\(351\) | 4.74210e8 | + | 7.43470e8i | 0.585323 | + | 0.917674i | ||||
\(352\) | 3.50141e8 | − | 6.06463e8i | 0.427902 | − | 0.741148i | ||||
\(353\) | − | 1.14243e9i | − | 1.38235i | −0.722686 | − | 0.691177i | \(-0.757093\pi\) | ||
0.722686 | − | 0.691177i | \(-0.242907\pi\) | |||||||
\(354\) | 6.10843e8 | 0.731844 | ||||||||
\(355\) | −4.55949e8 | −0.540900 | ||||||||
\(356\) | 9.55334e7i | 0.112223i | ||||||||
\(357\) | 5.26428e7 | − | 1.03133e9i | 0.0612351 | − | 1.19966i | ||||
\(358\) | 3.50595e8 | − | 2.02416e8i | 0.403845 | − | 0.233160i | ||||
\(359\) | 1.34290e9 | + | 7.75323e8i | 1.53184 | + | 0.884407i | 0.999277 | + | 0.0380161i | \(0.0121038\pi\) |
0.532561 | + | 0.846391i | \(0.321230\pi\) | |||||||
\(360\) | −2.60683e8 | + | 4.51516e8i | −0.294479 | + | 0.510052i | ||||
\(361\) | −9.49820e8 | −1.06259 | ||||||||
\(362\) | −3.35760e8 | + | 1.93851e8i | −0.372005 | + | 0.214777i | ||||
\(363\) | −1.22692e9 | −1.34630 | ||||||||
\(364\) | −2.16128e8 | + | 1.22823e8i | −0.234885 | + | 0.133482i | ||||
\(365\) | −1.94165e9 | −2.09000 | ||||||||
\(366\) | −4.54951e8 | + | 2.62666e8i | −0.485044 | + | 0.280040i | ||||
\(367\) | −5.93915e8 | −0.627181 | −0.313591 | − | 0.949558i | \(-0.601532\pi\) | ||||
−0.313591 | + | 0.949558i | \(0.601532\pi\) | |||||||
\(368\) | 3.10199e8 | − | 5.37281e8i | 0.324469 | − | 0.561997i | ||||
\(369\) | −4.90076e8 | − | 2.82946e8i | −0.507775 | − | 0.293164i | ||||
\(370\) | −1.16473e8 | + | 6.72457e7i | −0.119542 | + | 0.0690174i | ||||
\(371\) | 3.67345e8 | + | 2.37847e8i | 0.373478 | + | 0.241818i | ||||
\(372\) | 7.48731e7i | 0.0754094i | ||||||||
\(373\) | −7.14874e8 | −0.713261 | −0.356631 | − | 0.934245i | \(-0.616075\pi\) | ||||
−0.356631 | + | 0.934245i | \(0.616075\pi\) | |||||||
\(374\) | −2.10071e9 | −2.07642 | ||||||||
\(375\) | 5.48692e8i | 0.537303i | ||||||||
\(376\) | −7.46360e8 | + | 1.29273e9i | −0.724087 | + | 1.25416i | ||||
\(377\) | 7.91335e8 | − | 3.49808e7i | 0.760616 | − | 0.0336229i | ||||
\(378\) | −5.30690e8 | + | 8.19630e8i | −0.505382 | + | 0.780543i | ||||
\(379\) | 2.73947e8 | + | 1.58163e8i | 0.258481 | + | 0.149234i | 0.623641 | − | 0.781711i | \(-0.285653\pi\) |
−0.365160 | + | 0.930945i | \(0.618986\pi\) | |||||||
\(380\) | 3.23298e8 | + | 5.59968e8i | 0.302246 | + | 0.523505i | ||||
\(381\) | −8.88132e7 | + | 1.53829e8i | −0.0822697 | + | 0.142495i | ||||
\(382\) | 1.57303e9 | − | 9.08191e8i | 1.44383 | − | 0.833596i | ||||
\(383\) | 1.11724e7i | 0.0101614i | 0.999987 | + | 0.00508068i | \(0.00161724\pi\) | ||||
−0.999987 | + | 0.00508068i | \(0.998383\pi\) | |||||||
\(384\) | 3.25473e8 | − | 1.87912e8i | 0.293329 | − | 0.169354i | ||||
\(385\) | −1.45253e8 | + | 2.84564e9i | −0.129721 | + | 2.54137i | ||||
\(386\) | 1.06125e8 | + | 1.83814e8i | 0.0939209 | + | 0.162676i | ||||
\(387\) | 1.77482e8 | + | 3.07407e8i | 0.155656 | + | 0.269604i | ||||
\(388\) | 1.06811e8i | 0.0928338i | ||||||||
\(389\) | 8.72641e8 | + | 1.51146e9i | 0.751644 | + | 1.30189i | 0.947026 | + | 0.321158i | \(0.104072\pi\) |
−0.195382 | + | 0.980727i | \(0.562595\pi\) | |||||||
\(390\) | 6.76827e8 | + | 1.06113e9i | 0.577765 | + | 0.905824i | ||||
\(391\) | 1.73773e9 | 1.47016 | ||||||||
\(392\) | −1.04903e9 | − | 7.57812e8i | −0.879602 | − | 0.635419i | ||||
\(393\) | 4.90856e8 | − | 8.50188e8i | 0.407925 | − | 0.706547i | ||||
\(394\) | 5.96831e8 | 0.491603 | ||||||||
\(395\) | −1.45798e9 | + | 8.41763e8i | −1.19031 | + | 0.687226i | ||||
\(396\) | −1.64522e8 | − | 9.49867e7i | −0.133134 | − | 0.0768652i | ||||
\(397\) | − | 5.37764e8i | − | 0.431345i | −0.976466 | − | 0.215673i | \(-0.930806\pi\) | ||
0.976466 | − | 0.215673i | \(-0.0691944\pi\) | |||||||
\(398\) | 1.31636e9i | 1.04661i | ||||||||
\(399\) | 6.69596e8 | + | 1.30975e9i | 0.527725 | + | 1.03224i | ||||
\(400\) | −5.99984e8 | + | 1.03920e9i | −0.468738 | + | 0.811878i | ||||
\(401\) | 1.41748e9 | − | 8.18384e8i | 1.09777 | − | 0.633799i | 0.162138 | − | 0.986768i | \(-0.448161\pi\) |
0.935635 | + | 0.352969i | \(0.114828\pi\) | |||||||
\(402\) | 4.60069e8 | + | 7.96863e8i | 0.353209 | + | 0.611776i | ||||
\(403\) | −4.03107e8 | − | 2.09566e8i | −0.306798 | − | 0.159498i | ||||
\(404\) | −5.13766e7 | + | 8.89869e7i | −0.0387642 | + | 0.0671415i | ||||
\(405\) | −9.56441e8 | − | 5.52202e8i | −0.715428 | − | 0.413052i | ||||
\(406\) | 3.99252e8 | + | 7.80949e8i | 0.296078 | + | 0.579137i | ||||
\(407\) | −1.15199e8 | − | 1.99530e8i | −0.0846968 | − | 0.146699i | ||||
\(408\) | 1.54859e9 | + | 8.94077e8i | 1.12882 | + | 0.651725i | ||||
\(409\) | 9.66202e8 | + | 5.57837e8i | 0.698291 | + | 0.403159i | 0.806711 | − | 0.590947i | \(-0.201246\pi\) |
−0.108419 | + | 0.994105i | \(0.534579\pi\) | |||||||
\(410\) | −2.70725e9 | − | 1.56303e9i | −1.93992 | − | 1.12002i | ||||
\(411\) | 1.44111e7 | + | 8.32026e6i | 0.0102389 | + | 0.00591140i | ||||
\(412\) | 1.21085e8 | + | 2.09725e8i | 0.0852999 | + | 0.147744i | ||||
\(413\) | 1.51729e9 | + | 7.74484e7i | 1.05985 | + | 0.0540988i | ||||
\(414\) | −3.67653e8 | − | 2.12265e8i | −0.254646 | − | 0.147020i | ||||
\(415\) | −1.18087e9 | + | 2.04532e9i | −0.811023 | + | 1.40473i | ||||
\(416\) | −3.39758e7 | − | 7.68599e8i | −0.0231389 | − | 0.523448i | ||||
\(417\) | 2.84181e8 | + | 4.92216e8i | 0.191919 | + | 0.332414i | ||||
\(418\) | 2.59146e9 | − | 1.49618e9i | 1.73551 | − | 1.00200i | ||||
\(419\) | 9.23500e8 | − | 1.59955e9i | 0.613321 | − | 1.06230i | −0.377356 | − | 0.926068i | \(-0.623167\pi\) |
0.990677 | − | 0.136235i | \(-0.0435001\pi\) | |||||||
\(420\) | 2.80382e8 | − | 4.33039e8i | 0.184662 | − | 0.285203i | ||||
\(421\) | 5.49442e8i | 0.358868i | 0.983770 | + | 0.179434i | \(0.0574266\pi\) | ||||
−0.983770 | + | 0.179434i | \(0.942573\pi\) | |||||||
\(422\) | − | 9.20138e8i | − | 0.596018i | ||||||
\(423\) | 6.26795e8 | + | 3.61880e8i | 0.402656 | + | 0.232474i | ||||
\(424\) | −6.56258e8 | + | 3.78891e8i | −0.418113 | + | 0.241398i | ||||
\(425\) | −3.36111e9 | −2.12384 | ||||||||
\(426\) | 1.91018e8 | − | 3.30853e8i | 0.119713 | − | 0.207349i | ||||
\(427\) | −1.16337e9 | + | 5.94762e8i | −0.723137 | + | 0.369697i | ||||
\(428\) | 4.58100e8 | 0.282428 | ||||||||
\(429\) | −1.81783e9 | + | 1.15947e9i | −1.11161 | + | 0.709022i | ||||
\(430\) | 9.80432e8 | + | 1.69816e9i | 0.594673 | + | 1.03000i | ||||
\(431\) | 6.48635e8i | 0.390238i | 0.980780 | + | 0.195119i | \(0.0625094\pi\) | ||||
−0.980780 | + | 0.195119i | \(0.937491\pi\) | |||||||
\(432\) | −5.99014e8 | − | 1.03752e9i | −0.357474 | − | 0.619162i | ||||
\(433\) | 1.57745e9 | + | 2.73222e9i | 0.933785 | + | 1.61736i | 0.776786 | + | 0.629764i | \(0.216849\pi\) |
0.156999 | + | 0.987599i | \(0.449818\pi\) | |||||||
\(434\) | 2.56452e7 | − | 5.02416e8i | 0.0150589 | − | 0.295018i | ||||
\(435\) | −1.42359e9 | + | 8.21910e8i | −0.829225 | + | 0.478753i | ||||
\(436\) | − | 2.59392e8i | − | 0.149883i | ||||||
\(437\) | −2.14368e9 | + | 1.23766e9i | −1.22879 | + | 0.709439i | ||||
\(438\) | 8.13447e8 | − | 1.40893e9i | 0.462562 | − | 0.801181i | ||||
\(439\) | 1.77380e8 | + | 3.07231e8i | 0.100064 | + | 0.173316i | 0.911711 | − | 0.410832i | \(-0.134762\pi\) |
−0.811647 | + | 0.584149i | \(0.801429\pi\) | |||||||
\(440\) | −4.27288e9 | − | 2.46695e9i | −2.39131 | − | 1.38062i | ||||
\(441\) | −3.67433e8 | + | 5.08633e8i | −0.204006 | + | 0.282403i | ||||
\(442\) | −1.94579e9 | + | 1.24109e9i | −1.07181 | + | 0.683635i | ||||
\(443\) | 6.28859e8 | − | 1.08922e9i | 0.343669 | − | 0.595252i | −0.641442 | − | 0.767171i | \(-0.721664\pi\) |
0.985111 | + | 0.171919i | \(0.0549969\pi\) | |||||||
\(444\) | 4.17142e7i | 0.0226175i | ||||||||
\(445\) | 1.20301e9 | 0.647155 | ||||||||
\(446\) | 2.80109e9 | 1.49505 | ||||||||
\(447\) | − | 8.64238e8i | − | 0.457675i | ||||||
\(448\) | 1.87157e9 | − | 9.56820e8i | 0.983405 | − | 0.502756i | ||||
\(449\) | −1.92367e9 | + | 1.11063e9i | −1.00292 | + | 0.579039i | −0.909112 | − | 0.416551i | \(-0.863239\pi\) |
−0.0938126 | + | 0.995590i | \(0.529905\pi\) | |||||||
\(450\) | 7.11112e8 | + | 4.10561e8i | 0.367870 | + | 0.212390i | ||||
\(451\) | 2.67763e9 | − | 4.63779e9i | 1.37446 | − | 2.38064i | ||||
\(452\) | −3.06600e8 | −0.156167 | ||||||||
\(453\) | −6.05917e8 | + | 3.49827e8i | −0.306246 | + | 0.176811i | ||||
\(454\) | −1.18402e9 | −0.593830 | ||||||||
\(455\) | 1.54665e9 | + | 2.72160e9i | 0.769755 | + | 1.35452i | ||||
\(456\) | −2.54714e9 | −1.25799 | ||||||||
\(457\) | −1.27448e8 | + | 7.35824e7i | −0.0624637 | + | 0.0360634i | −0.530907 | − | 0.847430i | \(-0.678149\pi\) |
0.468443 | + | 0.883494i | \(0.344815\pi\) | |||||||
\(458\) | 1.99377e9 | 0.969718 | ||||||||
\(459\) | 1.67784e9 | − | 2.90610e9i | 0.809851 | − | 1.40270i | ||||
\(460\) | 7.51805e8 | + | 4.34055e8i | 0.360124 | + | 0.207918i | ||||
\(461\) | 5.44625e8 | − | 3.14439e8i | 0.258907 | − | 0.149480i | −0.364929 | − | 0.931035i | \(-0.618907\pi\) |
0.623836 | + | 0.781555i | \(0.285573\pi\) | |||||||
\(462\) | −2.00405e9 | − | 1.29757e9i | −0.945498 | − | 0.612187i | ||||
\(463\) | − | 1.59516e9i | − | 0.746914i | −0.927647 | − | 0.373457i | \(-0.878172\pi\) | ||
0.927647 | − | 0.373457i | \(-0.121828\pi\) | |||||||
\(464\) | −1.07614e9 | −0.500097 | ||||||||
\(465\) | 9.42843e8 | 0.434865 | ||||||||
\(466\) | 8.14402e7i | 0.0372810i | ||||||||
\(467\) | 1.78015e9 | − | 3.08332e9i | 0.808814 | − | 1.40091i | −0.104872 | − | 0.994486i | \(-0.533443\pi\) |
0.913686 | − | 0.406421i | \(-0.133223\pi\) | |||||||
\(468\) | −2.08506e8 | + | 9.21699e6i | −0.0940284 | + | 0.00415651i | ||||
\(469\) | 1.04175e9 | + | 2.03768e9i | 0.466291 | + | 0.912078i | ||||
\(470\) | 3.46250e9 | + | 1.99908e9i | 1.53832 | + | 0.888151i | ||||
\(471\) | −5.73761e8 | − | 9.93783e8i | −0.253022 | − | 0.438246i | ||||
\(472\) | −1.31537e9 | + | 2.27829e9i | −0.575773 | + | 0.997268i | ||||
\(473\) | −2.90912e9 | + | 1.67958e9i | −1.26400 | + | 0.729771i | ||||
\(474\) | − | 1.41061e9i | − | 0.608392i | ||||||
\(475\) | 4.14630e9 | − | 2.39386e9i | 1.77514 | − | 1.02488i | ||||
\(476\) | 7.94057e8 | + | 5.14132e8i | 0.337464 | + | 0.218500i | ||||
\(477\) | 1.83709e8 | + | 3.18194e8i | 0.0775026 | + | 0.134239i | ||||
\(478\) | −1.57250e9 | − | 2.72365e9i | −0.658556 | − | 1.14065i | ||||
\(479\) | − | 1.21052e9i | − | 0.503267i | −0.967823 | − | 0.251633i | \(-0.919032\pi\) | ||
0.967823 | − | 0.251633i | \(-0.0809677\pi\) | |||||||
\(480\) | 7.98296e8 | + | 1.38269e9i | 0.329473 | + | 0.570664i | ||||
\(481\) | −2.24584e8 | − | 1.16756e8i | −0.0920177 | − | 0.0478379i | ||||
\(482\) | −2.84524e9 | −1.15732 | ||||||||
\(483\) | 1.65777e9 | + | 1.07337e9i | 0.669437 | + | 0.433444i | ||||
\(484\) | 5.61954e8 | − | 9.73334e8i | 0.225290 | − | 0.390214i | ||||
\(485\) | 1.34503e9 | 0.535346 | ||||||||
\(486\) | −1.23649e9 | + | 7.13888e8i | −0.488612 | + | 0.282100i | ||||
\(487\) | 5.69826e8 | + | 3.28989e8i | 0.223558 | + | 0.129071i | 0.607597 | − | 0.794246i | \(-0.292134\pi\) |
−0.384039 | + | 0.923317i | \(0.625467\pi\) | |||||||
\(488\) | − | 2.26247e9i | − | 0.881279i | ||||||
\(489\) | 1.30778e9i | 0.505771i | ||||||||
\(490\) | −2.02975e9 | + | 2.80975e9i | −0.779393 | + | 1.07890i | ||||
\(491\) | 8.04274e8 | − | 1.39304e9i | 0.306633 | − | 0.531104i | −0.670991 | − | 0.741466i | \(-0.734131\pi\) |
0.977624 | + | 0.210362i | \(0.0674643\pi\) | |||||||
\(492\) | −8.39688e8 | + | 4.84794e8i | −0.317863 | + | 0.183518i | ||||
\(493\) | −1.50712e9 | − | 2.61042e9i | −0.566480 | − | 0.981173i | ||||
\(494\) | 1.51641e9 | − | 2.91686e9i | 0.565942 | − | 1.08861i | ||||
\(495\) | −1.19612e9 | + | 2.07175e9i | −0.443260 | + | 0.767748i | ||||
\(496\) | 5.34543e8 | + | 3.08619e8i | 0.196697 | + | 0.113563i | ||||
\(497\) | 5.16424e8 | − | 7.97596e8i | 0.188694 | − | 0.291431i | ||||
\(498\) | −9.89439e8 | − | 1.71376e9i | −0.358993 | − | 0.621795i | ||||
\(499\) | −3.15144e9 | − | 1.81948e9i | −1.13542 | − | 0.655535i | −0.190128 | − | 0.981759i | \(-0.560890\pi\) |
−0.945292 | + | 0.326224i | \(0.894224\pi\) | |||||||
\(500\) | −4.35287e8 | − | 2.51313e8i | −0.155733 | − | 0.0899124i | ||||
\(501\) | 2.56262e9 | + | 1.47953e9i | 0.910442 | + | 0.525644i | ||||
\(502\) | −1.05979e9 | − | 6.11868e8i | −0.373900 | − | 0.215871i | ||||
\(503\) | 2.02696e9 | + | 3.51079e9i | 0.710160 | + | 1.23003i | 0.964797 | + | 0.262997i | \(0.0847108\pi\) |
−0.254637 | + | 0.967037i | \(0.581956\pi\) | |||||||
\(504\) | −4.94583e8 | − | 9.67418e8i | −0.172081 | − | 0.336595i | ||||
\(505\) | 1.12057e9 | + | 6.46962e8i | 0.387186 | + | 0.223542i | ||||
\(506\) | 2.00875e9 | − | 3.47925e9i | 0.689284 | − | 1.19388i | ||||
\(507\) | −9.98758e8 | + | 2.14793e9i | −0.340355 | + | 0.731968i | ||||
\(508\) | −8.13568e7 | − | 1.40914e8i | −0.0275341 | − | 0.0476904i | ||||
\(509\) | 1.34977e8 | − | 7.79289e7i | 0.0453677 | − | 0.0261931i | −0.477145 | − | 0.878825i | \(-0.658328\pi\) |
0.522512 | + | 0.852632i | \(0.324995\pi\) | |||||||
\(510\) | 2.39473e9 | − | 4.14779e9i | 0.799393 | − | 1.38459i | ||||
\(511\) | 2.19918e9 | − | 3.39655e9i | 0.729102 | − | 1.12607i | ||||
\(512\) | 3.20984e9i | 1.05691i | ||||||||
\(513\) | 4.77999e9i | 1.56321i | ||||||||
\(514\) | 5.52873e8 | + | 3.19201e8i | 0.179579 | + | 0.103680i | ||||
\(515\) | 2.64097e9 | − | 1.52476e9i | 0.851996 | − | 0.491900i | ||||
\(516\) | 6.08187e8 | 0.194878 | ||||||||
\(517\) | −3.42462e9 | + | 5.93161e9i | −1.08992 | + | 1.88780i | ||||
\(518\) | 1.42878e7 | − | 2.79912e8i | 0.00451659 | − | 0.0884846i | ||||
\(519\) | −1.83141e9 | −0.575042 | ||||||||
\(520\) | −5.41522e9 | + | 2.39379e8i | −1.68890 | + | 0.0746576i | ||||
\(521\) | 2.63938e9 | + | 4.57155e9i | 0.817656 | + | 1.41622i | 0.907405 | + | 0.420257i | \(0.138060\pi\) |
−0.0897489 | + | 0.995964i | \(0.528606\pi\) | |||||||
\(522\) | 7.36384e8i | 0.226599i | ||||||||
\(523\) | −2.27926e9 | − | 3.94780e9i | −0.696688 | − | 1.20670i | −0.969608 | − | 0.244662i | \(-0.921323\pi\) |
0.272920 | − | 0.962037i | \(-0.412010\pi\) | |||||||
\(524\) | 4.49646e8 | + | 7.78810e8i | 0.136525 | + | 0.236468i | ||||
\(525\) | −3.20645e9 | − | 2.07610e9i | −0.967089 | − | 0.626166i | ||||
\(526\) | 2.08533e9 | − | 1.20397e9i | 0.624778 | − | 0.360716i | ||||
\(527\) | 1.72888e9i | 0.514549i | ||||||||
\(528\) | 2.53681e9 | − | 1.46463e9i | 0.750013 | − | 0.433020i | ||||
\(529\) | 4.07526e7 | − | 7.05856e7i | 0.0119691 | − | 0.0207311i | ||||
\(530\) | 1.01483e9 | + | 1.75774e9i | 0.296094 | + | 0.512850i | ||||
\(531\) | 1.10465e9 | + | 6.37772e8i | 0.320181 | + | 0.184856i | ||||
\(532\) | −1.34574e9 | − | 6.86915e7i | −0.387498 | − | 0.0197794i | ||||
\(533\) | −2.59822e8 | − | 5.87769e9i | −0.0743244 | − | 1.68136i | ||||
\(534\) | −5.03995e8 | + | 8.72945e8i | −0.143229 | + | 0.248080i | ||||
\(535\) | − | 5.76864e9i | − | 1.62868i | ||||||
\(536\) | −3.96280e9 | −1.11154 | ||||||||
\(537\) | −1.58117e9 | −0.440624 | ||||||||
\(538\) | 5.80625e8i | 0.160752i | ||||||||
\(539\) | −4.81339e9 | − | 3.47717e9i | −1.32401 | − | 0.956455i | ||||
\(540\) | 1.45178e9 | − | 8.38187e8i | 0.396756 | − | 0.229067i | ||||
\(541\) | 1.19728e9 | + | 6.91248e8i | 0.325091 | + | 0.187691i | 0.653659 | − | 0.756789i | \(-0.273233\pi\) |
−0.328569 | + | 0.944480i | \(0.606566\pi\) | |||||||
\(542\) | 4.05076e8 | − | 7.01612e8i | 0.109279 | − | 0.189278i | ||||
\(543\) | 1.51426e9 | 0.405884 | ||||||||
\(544\) | −2.53542e9 | + | 1.46382e9i | −0.675233 | + | 0.389846i | ||||
\(545\) | −3.26640e9 | −0.864335 | ||||||||
\(546\) | −2.62285e9 | − | 1.78973e7i | −0.689603 | − | 0.00470559i | ||||
\(547\) | 3.70158e9 | 0.967010 | 0.483505 | − | 0.875342i | \(-0.339363\pi\) | ||||
0.483505 | + | 0.875342i | \(0.339363\pi\) | |||||||
\(548\) | −1.32012e7 | + | 7.62173e6i | −0.00342675 | + | 0.00197843i | ||||
\(549\) | −1.09698e9 | −0.282941 | ||||||||
\(550\) | −3.88530e9 | + | 6.72953e9i | −0.995761 | + | 1.72471i | ||||
\(551\) | 3.71841e9 | + | 2.14682e9i | 0.946949 | + | 0.546721i | ||||
\(552\) | −2.96159e9 | + | 1.70988e9i | −0.749443 | + | 0.432691i | ||||
\(553\) | 1.78851e8 | − | 3.50386e9i | 0.0449730 | − | 0.881067i | ||||
\(554\) | − | 1.79783e9i | − | 0.449226i | ||||||
\(555\) | 5.25289e8 | 0.130428 | ||||||||
\(556\) | −5.20645e8 | −0.128464 | ||||||||
\(557\) | − | 6.65082e9i | − | 1.63073i | −0.578947 | − | 0.815365i | \(-0.696536\pi\) | ||
0.578947 | − | 0.815365i | \(-0.303464\pi\) | |||||||
\(558\) | 2.11183e8 | − | 3.65780e8i | 0.0514564 | − | 0.0891252i | ||||
\(559\) | −1.70229e9 | + | 3.27440e9i | −0.412185 | + | 0.792850i | ||||
\(560\) | −1.93590e9 | − | 3.78667e9i | −0.465827 | − | 0.911171i | ||||
\(561\) | 7.10558e9 | + | 4.10241e9i | 1.69914 | + | 0.981000i | ||||
\(562\) | −4.07470e8 | − | 7.05758e8i | −0.0968319 | − | 0.167718i | ||||
\(563\) | −3.57164e9 | + | 6.18627e9i | −0.843507 | + | 1.46100i | 0.0434038 | + | 0.999058i | \(0.486180\pi\) |
−0.886911 | + | 0.461940i | \(0.847154\pi\) | |||||||
\(564\) | 1.07394e9 | − | 6.20039e8i | 0.252059 | − | 0.145527i | ||||
\(565\) | 3.86088e9i | 0.900568i | ||||||||
\(566\) | 4.98113e9 | − | 2.87586e9i | 1.15470 | − | 0.666668i | ||||
\(567\) | 2.04927e9 | − | 1.04767e9i | 0.472127 | − | 0.241370i | ||||
\(568\) | 8.22665e8 | + | 1.42490e9i | 0.188367 | + | 0.326260i | ||||
\(569\) | −2.72316e9 | − | 4.71665e9i | −0.619698 | − | 1.07335i | −0.989541 | − | 0.144254i | \(-0.953922\pi\) |
0.369842 | − | 0.929094i | \(-0.379412\pi\) | |||||||
\(570\) | 6.82235e9i | 1.54302i | ||||||||
\(571\) | 1.23038e9 | + | 2.13109e9i | 0.276576 | + | 0.479043i | 0.970531 | − | 0.240974i | \(-0.0774670\pi\) |
−0.693956 | + | 0.720018i | \(0.744134\pi\) | |||||||
\(572\) | −8.72241e7 | − | 1.97318e9i | −0.0194872 | − | 0.440839i | ||||
\(573\) | −7.09432e9 | −1.57532 | ||||||||
\(574\) | 5.80055e9 | − | 2.96547e9i | 1.28020 | − | 0.654489i | ||||
\(575\) | 3.21397e9 | − | 5.56676e9i | 0.705024 | − | 1.22114i | ||||
\(576\) | 1.76477e9 | 0.384777 | ||||||||
\(577\) | −6.82034e8 | + | 3.93773e8i | −0.147806 | + | 0.0853356i | −0.572079 | − | 0.820199i | \(-0.693863\pi\) |
0.424273 | + | 0.905534i | \(0.360530\pi\) | |||||||
\(578\) | 4.17103e9 | + | 2.40814e9i | 0.898454 | + | 0.518722i | ||||
\(579\) | − | 8.28994e8i | − | 0.177491i | ||||||
\(580\) | − | 1.50581e9i | − | 0.320459i | ||||||
\(581\) | −2.24041e9 | − | 4.38231e9i | −0.473927 | − | 0.927014i | ||||
\(582\) | −5.63493e8 | + | 9.75998e8i | −0.118484 | + | 0.205220i | ||||
\(583\) | −3.01119e9 | + | 1.73851e9i | −0.629359 | + | 0.363361i | ||||
\(584\) | 3.50331e9 | + | 6.06790e9i | 0.727835 | + | 1.26065i | ||||
\(585\) | 1.16065e8 | + | 2.62563e9i | 0.0239694 | + | 0.542235i | ||||
\(586\) | −1.93149e9 | + | 3.34545e9i | −0.396508 | + | 0.686772i | ||||
\(587\) | 4.55609e9 | + | 2.63046e9i | 0.929734 | + | 0.536782i | 0.886727 | − | 0.462293i | \(-0.152973\pi\) |
0.0430064 | + | 0.999075i | \(0.486306\pi\) | |||||||
\(588\) | 4.39949e8 | + | 9.80950e8i | 0.0892445 | + | 0.198988i | ||||
\(589\) | −1.23135e9 | − | 2.13276e9i | −0.248301 | − | 0.430070i | ||||
\(590\) | 6.10225e9 | + | 3.52314e9i | 1.22323 | + | 0.706232i | ||||
\(591\) | −2.01876e9 | − | 1.16553e9i | −0.402280 | − | 0.232257i | ||||
\(592\) | 2.97811e8 | + | 1.71941e8i | 0.0589950 | + | 0.0340608i | ||||
\(593\) | 3.44384e9 | + | 1.98830e9i | 0.678190 | + | 0.391553i | 0.799173 | − | 0.601102i | \(-0.205271\pi\) |
−0.120983 | + | 0.992655i | \(0.538605\pi\) | |||||||
\(594\) | −3.87902e9 | − | 6.71865e9i | −0.759397 | − | 1.31531i | ||||
\(595\) | 6.47423e9 | − | 9.99920e9i | 1.26002 | − | 1.94606i | ||||
\(596\) | 6.85615e8 | + | 3.95840e8i | 0.132653 | + | 0.0765875i | ||||
\(597\) | 2.57069e9 | − | 4.45256e9i | 0.494469 | − | 0.856445i | ||||
\(598\) | −1.94918e8 | − | 4.40942e9i | −0.0372732 | − | 0.843194i | ||||
\(599\) | −2.91712e9 | − | 5.05259e9i | −0.554574 | − | 0.960551i | −0.997937 | − | 0.0642084i | \(-0.979548\pi\) |
0.443362 | − | 0.896343i | \(-0.353786\pi\) | |||||||
\(600\) | 5.72828e9 | − | 3.30723e9i | 1.08267 | − | 0.625078i | ||||
\(601\) | −3.35333e9 | + | 5.80814e9i | −0.630110 | + | 1.09138i | 0.357419 | + | 0.933944i | \(0.383657\pi\) |
−0.987529 | + | 0.157438i | \(0.949677\pi\) | |||||||
\(602\) | −4.08108e9 | − | 2.08314e8i | −0.762407 | − | 0.0389162i | ||||
\(603\) | 1.92140e9i | 0.356868i | ||||||||
\(604\) | − | 6.40913e8i | − | 0.118350i | ||||||
\(605\) | −1.22567e10 | − | 7.07644e9i | −2.25025 | − | 1.29918i | ||||
\(606\) | −9.38917e8 | + | 5.42084e8i | −0.171385 | + | 0.0989492i | ||||
\(607\) | −3.51112e9 | −0.637214 | −0.318607 | − | 0.947887i | \(-0.603215\pi\) | ||||
−0.318607 | + | 0.947887i | \(0.603215\pi\) | |||||||
\(608\) | 2.08515e9 | − | 3.61158e9i | 0.376248 | − | 0.651680i | ||||
\(609\) | 1.74632e8 | − | 3.42122e9i | 0.0313303 | − | 0.613792i | ||||
\(610\) | −6.05988e9 | −1.08096 | ||||||||
\(611\) | 3.32306e8 | + | 7.51742e9i | 0.0589378 | + | 1.33329i | ||||
\(612\) | 3.97108e8 | + | 6.87811e8i | 0.0700291 | + | 0.121294i | ||||
\(613\) | 6.64398e9i | 1.16497i | 0.812840 | + | 0.582487i | \(0.197920\pi\) | ||||
−0.812840 | + | 0.582487i | \(0.802080\pi\) | |||||||
\(614\) | −2.55933e8 | − | 4.43289e8i | −0.0446207 | − | 0.0772854i | ||||
\(615\) | 6.10479e9 | + | 1.05738e10i | 1.05830 | + | 1.83303i | ||||
\(616\) | 9.15506e9 | − | 4.68043e9i | 1.57808 | − | 0.806777i | ||||
\(617\) | −5.64237e9 | + | 3.25762e9i | −0.967082 | + | 0.558345i | −0.898345 | − | 0.439290i | \(-0.855230\pi\) |
−0.0687365 | + | 0.997635i | \(0.521897\pi\) | |||||||
\(618\) | 2.55517e9i | 0.435472i | ||||||||
\(619\) | 7.52657e9 | − | 4.34547e9i | 1.27550 | − | 0.736409i | 0.299481 | − | 0.954102i | \(-0.403187\pi\) |
0.976017 | + | 0.217693i | \(0.0698533\pi\) | |||||||
\(620\) | −4.31843e8 | + | 7.47974e8i | −0.0727704 | + | 0.126042i | ||||
\(621\) | 3.20877e9 | + | 5.55775e9i | 0.537673 | + | 0.931277i | ||||
\(622\) | 7.25388e9 | + | 4.18803e9i | 1.20866 | + | 0.697820i | ||||
\(623\) | −1.36257e9 | + | 2.10443e9i | −0.225762 | + | 0.348680i | ||||
\(624\) | 1.48443e9 | − | 2.85535e9i | 0.244576 | − | 0.470449i | ||||
\(625\) | 1.19091e9 | − | 2.06271e9i | 0.195118 | − | 0.337954i | ||||
\(626\) | − | 3.79384e9i | − | 0.618114i | ||||||
\(627\) | −1.16874e10 | −1.89356 | ||||||||
\(628\) | 1.05118e9 | 0.169363 | ||||||||
\(629\) | 9.63214e8i | 0.154328i | ||||||||
\(630\) | −2.59117e9 | + | 1.32471e9i | −0.412861 | + | 0.211071i | ||||
\(631\) | 1.84667e9 | − | 1.06617e9i | 0.292608 | − | 0.168937i | −0.346510 | − | 0.938046i | \(-0.612633\pi\) |
0.639117 | + | 0.769109i | \(0.279300\pi\) | |||||||
\(632\) | 5.26122e9 | + | 3.03757e9i | 0.829043 | + | 0.478648i | ||||
\(633\) | −1.79691e9 | + | 3.11234e9i | −0.281588 | + | 0.487724i | ||||
\(634\) | 5.88104e9 | 0.916519 | ||||||||
\(635\) | −1.77447e9 | + | 1.02449e9i | −0.275017 | + | 0.158781i | ||||
\(636\) | 6.29528e8 | 0.0970320 | ||||||||
\(637\) | −6.51271e9 | − | 3.77005e8i | −0.998329 | − | 0.0577909i | ||||
\(638\) | −6.96869e9 | −1.06238 | ||||||||
\(639\) | 6.90877e8 | − | 3.98878e8i | 0.104748 | − | 0.0604765i | ||||
\(640\) | 4.33525e9 | 0.653708 | ||||||||
\(641\) | 1.94107e9 | − | 3.36204e9i | 0.291098 | − | 0.504196i | −0.682972 | − | 0.730445i | \(-0.739313\pi\) |
0.974070 | + | 0.226249i | \(0.0726462\pi\) | |||||||
\(642\) | 4.18593e9 | + | 2.41675e9i | 0.624338 | + | 0.360462i | ||||
\(643\) | −5.74185e9 | + | 3.31506e9i | −0.851752 | + | 0.491759i | −0.861242 | − | 0.508196i | \(-0.830313\pi\) |
0.00948948 | + | 0.999955i | \(0.496979\pi\) | |||||||
\(644\) | −1.61082e9 | + | 8.23514e8i | −0.237654 | + | 0.121498i | ||||
\(645\) | − | 7.65863e9i | − | 1.12381i | ||||||
\(646\) | −1.25100e10 | −1.82576 | ||||||||
\(647\) | 3.38871e9 | 0.491892 | 0.245946 | − | 0.969284i | \(-0.420901\pi\) | ||||
0.245946 | + | 0.969284i | \(0.420901\pi\) | |||||||
\(648\) | 3.98533e9i | 0.575376i | ||||||||
\(649\) | −6.03549e9 | + | 1.04538e10i | −0.866674 | + | 1.50112i | ||||
\(650\) | 3.77008e8 | + | 8.52866e9i | 0.0538461 | + | 1.21810i | ||||
\(651\) | −1.06790e9 | + | 1.64932e9i | −0.151704 | + | 0.234300i | ||||
\(652\) | −1.03749e9 | − | 5.98993e8i | −0.146594 | − | 0.0846360i | ||||
\(653\) | −5.00089e9 | − | 8.66179e9i | −0.702831 | − | 1.21734i | −0.967469 | − | 0.252991i | \(-0.918586\pi\) |
0.264637 | − | 0.964348i | \(-0.414748\pi\) | |||||||
\(654\) | 1.36845e9 | − | 2.37022e9i | 0.191296 | − | 0.331334i | ||||
\(655\) | 9.80720e9 | − | 5.66219e9i | 1.36364 | − | 0.787299i | ||||
\(656\) | 7.99307e9i | 1.10548i | ||||||||
\(657\) | 2.94209e9 | − | 1.69861e9i | 0.404741 | − | 0.233677i | ||||
\(658\) | −7.41875e9 | + | 3.79276e9i | −1.01517 | + | 0.518998i | ||||
\(659\) | 1.72641e9 | + | 2.99022e9i | 0.234987 | + | 0.407010i | 0.959269 | − | 0.282494i | \(-0.0911618\pi\) |
−0.724282 | + | 0.689504i | \(0.757829\pi\) | |||||||
\(660\) | 2.04942e9 | + | 3.54970e9i | 0.277477 | + | 0.480604i | ||||
\(661\) | − | 2.23000e9i | − | 0.300330i | −0.988661 | − | 0.150165i | \(-0.952019\pi\) | ||
0.988661 | − | 0.150165i | \(-0.0479805\pi\) | |||||||
\(662\) | −2.96360e9 | − | 5.13311e9i | −0.397024 | − | 0.687666i | ||||
\(663\) | 9.00524e9 | − | 3.98075e8i | 1.20005 | − | 0.0530479i | ||||
\(664\) | 8.52251e9 | 1.12974 | ||||||||
\(665\) | −8.65001e8 | + | 1.69462e10i | −0.114062 | + | 2.23459i | ||||
\(666\) | 1.17657e8 | − | 2.03788e8i | 0.0154333 | − | 0.0267312i | ||||
\(667\) | 5.76459e9 | 0.752191 | ||||||||
\(668\) | −2.34747e9 | + | 1.35532e9i | −0.304708 | + | 0.175923i | ||||
\(669\) | −9.47460e9 | − | 5.47016e9i | −1.22340 | − | 0.706332i | ||||
\(670\) | 1.06141e10i | 1.36339i | ||||||||
\(671\) | − | 1.03812e10i | − | 1.32653i | ||||||
\(672\) | −3.32293e9 | − | 1.69615e8i | −0.422405 | − | 0.0215612i | ||||
\(673\) | 4.32462e9 | − | 7.49046e9i | 0.546884 | − | 0.947231i | −0.451601 | − | 0.892220i | \(-0.649147\pi\) |
0.998486 | − | 0.0550115i | \(-0.0175196\pi\) | |||||||
\(674\) | −1.08181e10 | + | 6.24581e9i | −1.36094 | + | 0.785741i | ||||
\(675\) | −6.20638e9 | − | 1.07498e10i | −0.776739 | − | 1.34535i | ||||
\(676\) | −1.24654e9 | − | 1.77613e9i | −0.155200 | − | 0.221137i | ||||
\(677\) | 2.65858e9 | − | 4.60480e9i | 0.329298 | − | 0.570361i | −0.653075 | − | 0.757294i | \(-0.726521\pi\) |
0.982373 | + | 0.186932i | \(0.0598545\pi\) | |||||||
\(678\) | −2.80159e9 | − | 1.61750e9i | −0.345224 | − | 0.199315i | ||||
\(679\) | −1.52342e9 | + | 2.35287e9i | −0.186757 | + | 0.288439i | ||||
\(680\) | 1.03135e10 | + | 1.78635e10i | 1.25784 | + | 2.17863i | ||||
\(681\) | 4.00490e9 | + | 2.31223e9i | 0.485934 | + | 0.280554i | ||||
\(682\) | 3.46152e9 | + | 1.99851e9i | 0.417851 | + | 0.241247i | ||||
\(683\) | 2.29805e7 | + | 1.32678e7i | 0.00275986 | + | 0.00159341i | 0.501379 | − | 0.865228i | \(-0.332826\pi\) |
−0.498619 | + | 0.866821i | \(0.666159\pi\) | |||||||
\(684\) | −9.79753e8 | − | 5.65661e8i | −0.117063 | − | 0.0675864i | ||||
\(685\) | 9.59769e7 | + | 1.66237e8i | 0.0114091 | + | 0.0197611i | ||||
\(686\) | −2.61617e9 | − | 6.73309e9i | −0.309408 | − | 0.796306i | ||||
\(687\) | −6.74386e9 | − | 3.89357e9i | −0.793524 | − | 0.458141i | ||||
\(688\) | 2.50688e9 | − | 4.34204e9i | 0.293477 | − | 0.508317i | ||||
\(689\) | −1.76202e9 | + | 3.38930e9i | −0.205231 | + | 0.394769i | ||||
\(690\) | 4.57979e9 | + | 7.93243e9i | 0.530730 | + | 0.919252i | ||||
\(691\) | 9.78829e9 | − | 5.65127e9i | 1.12858 | − | 0.651588i | 0.185005 | − | 0.982737i | \(-0.440770\pi\) |
0.943578 | + | 0.331149i | \(0.107436\pi\) | |||||||
\(692\) | 8.38826e8 | − | 1.45289e9i | 0.0962278 | − | 0.166672i | ||||
\(693\) | −2.26936e9 | − | 4.43893e9i | −0.259022 | − | 0.506654i | ||||
\(694\) | 1.22193e10i | 1.38768i | ||||||||
\(695\) | 6.55624e9i | 0.740813i | ||||||||
\(696\) | 5.13714e9 | + | 2.96593e9i | 0.577549 | + | 0.333448i | ||||
\(697\) | −1.93890e10 | + | 1.11943e10i | −2.16891 | + | 1.25222i | ||||
\(698\) | 1.17125e10 | 1.30363 | ||||||||
\(699\) | 1.59042e8 | − | 2.75469e8i | 0.0176134 | − | 0.0305072i | ||||
\(700\) | 3.11563e9 | − | 1.59283e9i | 0.343322 | − | 0.175520i | ||||
\(701\) | −2.61091e9 | −0.286272 | −0.143136 | − | 0.989703i | \(-0.545719\pi\) | ||||
−0.143136 | + | 0.989703i | \(0.545719\pi\) | |||||||
\(702\) | −7.56229e9 | − | 3.93147e9i | −0.825038 | − | 0.428918i | ||||
\(703\) | −6.86025e8 | − | 1.18823e9i | −0.0744726 | − | 0.128990i | ||||
\(704\) | 1.67007e10i | 1.80397i | ||||||||
\(705\) | −7.80787e9 | − | 1.35236e10i | −0.839210 | − | 1.45355i | ||||
\(706\) | 5.52101e9 | + | 9.56266e9i | 0.590475 | + | 1.02273i | ||||
\(707\) | −2.40094e9 | + | 1.22745e9i | −0.255513 | + | 0.130628i | ||||
\(708\) | 1.89269e9 | − | 1.09275e9i | 0.200430 | − | 0.115719i | ||||
\(709\) | 2.89089e9i | 0.304628i | 0.988332 | + | 0.152314i | \(0.0486725\pi\) | ||||
−0.988332 | + | 0.152314i | \(0.951328\pi\) | |||||||
\(710\) | 3.81650e9 | − | 2.20345e9i | 0.400185 | − | 0.231047i | ||||
\(711\) | 1.47280e9 | − | 2.55096e9i | 0.153674 | − | 0.266171i | ||||
\(712\) | −2.17058e9 | − | 3.75955e9i | −0.225369 | − | 0.390351i | ||||
\(713\) | −2.86341e9 | − | 1.65319e9i | −0.295850 | − | 0.170809i | ||||
\(714\) | 4.54342e9 | + | 8.88705e9i | 0.467131 | + | 0.913722i | ||||
\(715\) | −2.48473e10 | + | 1.09837e9i | −2.54220 | + | 0.112377i | ||||
\(716\) | 7.24210e8 | − | 1.25437e9i | 0.0737342 | − | 0.127711i | ||||
\(717\) | 1.22835e10i | 1.24453i | ||||||||
\(718\) | −1.49875e10 | −1.51111 | ||||||||
\(719\) | 1.10411e10 | 1.10780 | 0.553900 | − | 0.832584i | \(-0.313139\pi\) | ||||
0.553900 | + | 0.832584i | \(0.313139\pi\) | |||||||
\(720\) | − | 3.57059e9i | − | 0.356513i | ||||||
\(721\) | −3.23969e8 | + | 6.34687e9i | −0.0321906 | + | 0.630647i | ||||
\(722\) | 7.95041e9 | − | 4.59017e9i | 0.786158 | − | 0.453888i | ||||
\(723\) | 9.62393e9 | + | 5.55638e9i | 0.947040 | + | 0.546774i | ||||
\(724\) | −6.93566e8 | + | 1.20129e9i | −0.0679208 | + | 0.117642i | ||||
\(725\) | −1.11498e10 | −1.08664 | ||||||||
\(726\) | 1.02698e10 | − | 5.92928e9i | 0.996058 | − | 0.575075i | ||||
\(727\) | −1.53295e10 | −1.47965 | −0.739823 | − | 0.672802i | \(-0.765091\pi\) | ||||
−0.739823 | + | 0.672802i | \(0.765091\pi\) | |||||||
\(728\) | 5.71472e9 | − | 9.74403e9i | 0.548953 | − | 0.936006i | ||||
\(729\) | 1.11231e10 | 1.06336 | ||||||||
\(730\) | 1.62525e10 | − | 9.38338e9i | 1.54629 | − | 0.892749i | ||||
\(731\) | 1.40435e10 | 1.32973 | ||||||||
\(732\) | −9.39775e8 | + | 1.62774e9i | −0.0885595 | + | 0.153390i | ||||
\(733\) | 3.16974e9 | + | 1.83005e9i | 0.297276 | + | 0.171632i | 0.641218 | − | 0.767358i | \(-0.278429\pi\) |
−0.343943 | + | 0.938991i | \(0.611763\pi\) | |||||||
\(734\) | 4.97133e9 | − | 2.87020e9i | 0.464020 | − | 0.267902i | ||||
\(735\) | 1.23527e10 | − | 5.54007e9i | 1.14751 | − | 0.514648i | ||||
\(736\) | − | 5.59897e9i | − | 0.517650i | ||||||
\(737\) | −1.81830e10 | −1.67313 | ||||||||
\(738\) | 5.46954e9 | 0.500903 | ||||||||
\(739\) | − | 1.07137e10i | − | 0.976530i | −0.872695 | − | 0.488265i | \(-0.837630\pi\) | ||
0.872695 | − | 0.488265i | \(-0.162370\pi\) | |||||||
\(740\) | −2.40594e8 | + | 4.16721e8i | −0.0218260 | + | 0.0378037i | ||||
\(741\) | −1.08254e10 | + | 6.90483e9i | −0.977422 | + | 0.623433i | ||||
\(742\) | −4.22428e9 | − | 2.15623e8i | −0.379611 | − | 0.0193768i | ||||
\(743\) | −1.89082e10 | − | 1.09167e10i | −1.69118 | − | 0.976402i | −0.953570 | − | 0.301172i | \(-0.902622\pi\) |
−0.737608 | − | 0.675229i | \(-0.764045\pi\) | |||||||
\(744\) | −1.70116e9 | − | 2.94650e9i | −0.151440 | − | 0.262302i | ||||
\(745\) | 4.98463e9 | − | 8.63363e9i | 0.441658 | − | 0.764974i | ||||
\(746\) | 5.98381e9 | − | 3.45475e9i | 0.527706 | − | 0.304671i | ||||
\(747\) | − | 4.13223e9i | − | 0.362712i | ||||||
\(748\) | −6.50903e9 | + | 3.75799e9i | −0.568670 | + | 0.328322i | ||||
\(749\) | 1.00911e10 | + | 6.53377e9i | 0.877514 | + | 0.568169i | ||||
\(750\) | −2.65165e9 | − | 4.59279e9i | −0.229510 | − | 0.397523i | ||||
\(751\) | 3.19921e9 | + | 5.54120e9i | 0.275615 | + | 0.477380i | 0.970290 | − | 0.241944i | \(-0.0777850\pi\) |
−0.694675 | + | 0.719324i | \(0.744452\pi\) | |||||||
\(752\) | − | 1.02229e10i | − | 0.876623i | ||||||
\(753\) | 2.38980e9 | + | 4.13925e9i | 0.203976 | + | 0.353297i | ||||
\(754\) | −6.45477e9 | + | 4.11707e9i | −0.548379 | + | 0.349775i | ||||
\(755\) | −8.07073e9 | −0.682493 | ||||||||
\(756\) | −1.78091e8 | + | 3.48898e9i | −0.0149905 | + | 0.293678i | ||||
\(757\) | 1.08710e10 | − | 1.88291e10i | 0.910824 | − | 1.57759i | 0.0979207 | − | 0.995194i | \(-0.468781\pi\) |
0.812903 | − | 0.582399i | \(-0.197886\pi\) | |||||||
\(758\) | −3.05740e9 | −0.254983 | ||||||||
\(759\) | −1.35890e10 | + | 7.84564e9i | −1.12809 | + | 0.651302i | ||||
\(760\) | −2.54456e10 | − | 1.46910e10i | −2.10264 | − | 1.21396i | ||||
\(761\) | − | 2.20920e10i | − | 1.81714i | −0.417732 | − | 0.908570i | \(-0.637175\pi\) | ||
0.417732 | − | 0.908570i | \(-0.362825\pi\) | |||||||
\(762\) | − | 1.71682e9i | − | 0.140567i | ||||||
\(763\) | 3.69964e9 | − | 5.71395e9i | 0.301525 | − | 0.465694i | ||||
\(764\) | 3.24935e9 | − | 5.62805e9i | 0.263615 | − | 0.456595i | ||||
\(765\) | 8.66129e9 | − | 5.00060e9i | 0.699467 | − | 0.403838i | ||||
\(766\) | −5.39927e7 | − | 9.35182e7i | −0.00434045 | − | 0.00751788i | ||||
\(767\) | 5.85651e8 | + | 1.32486e10i | 0.0468657 | + | 1.06019i | ||||
\(768\) | 3.77985e9 | − | 6.54689e9i | 0.301100 | − | 0.521520i | ||||
\(769\) | 1.22152e10 | + | 7.05244e9i | 0.968630 | + | 0.559239i | 0.898818 | − | 0.438322i | \(-0.144427\pi\) |
0.0698116 | + | 0.997560i | \(0.477760\pi\) | |||||||
\(770\) | −1.25362e10 | − | 2.45212e10i | −0.989577 | − | 1.93564i | ||||
\(771\) | −1.24672e9 | − | 2.15938e9i | −0.0979666 | − | 0.169683i | ||||
\(772\) | 6.57655e8 | + | 3.79697e8i | 0.0514444 | + | 0.0297014i | ||||
\(773\) | 1.71980e10 | + | 9.92928e9i | 1.33922 | + | 0.773196i | 0.986691 | − | 0.162607i | \(-0.0519901\pi\) |
0.352524 | + | 0.935803i | \(0.385323\pi\) | |||||||
\(774\) | −2.97120e9 | − | 1.71542e9i | −0.230323 | − | 0.132977i | ||||
\(775\) | 5.53839e9 | + | 3.19759e9i | 0.427393 | + | 0.246756i | ||||
\(776\) | −2.42682e9 | − | 4.20337e9i | −0.186432 | − | 0.322910i | ||||
\(777\) | −5.94960e8 | + | 9.18892e8i | −0.0455003 | + | 0.0702734i | ||||
\(778\) | −1.46088e10 | − | 8.43438e9i | −1.11221 | − | 0.642133i | ||||
\(779\) | 1.59457e10 | − | 2.76187e10i | 1.20854 | − | 2.09326i | ||||
\(780\) | 3.99542e9 | + | 2.07713e9i | 0.301461 | + | 0.156723i | ||||
\(781\) | 3.77474e9 | + | 6.53804e9i | 0.283536 | + | 0.491099i | ||||
\(782\) | −1.45456e10 | + | 8.39789e9i | −1.08770 | + | 0.627981i | ||||
\(783\) | 5.56590e9 | − | 9.64041e9i | 0.414351 | − | 0.717678i | ||||
\(784\) | 8.81673e9 | + | 9.02431e8i | 0.653434 | + | 0.0668818i | ||||
\(785\) | − | 1.32370e10i | − | 0.976668i | ||||||
\(786\) | 9.48860e9i | 0.696985i | ||||||||
\(787\) | −4.37572e9 | − | 2.52632e9i | −0.319991 | − | 0.184747i | 0.331397 | − | 0.943491i | \(-0.392480\pi\) |
−0.651389 | + | 0.758744i | \(0.725813\pi\) | |||||||
\(788\) | 1.84927e9 | − | 1.06768e9i | 0.134636 | − | 0.0777319i | ||||
\(789\) | −9.40477e9 | −0.681677 | ||||||||
\(790\) | 8.13593e9 | − | 1.40918e10i | 0.587101 | − | 1.01689i | ||||
\(791\) | −6.75387e9 | − | 4.37297e9i | −0.485216 | − | 0.314165i | ||||
\(792\) | 8.63263e9 | 0.617454 | ||||||||
\(793\) | −6.13315e9 | − | 9.61560e9i | −0.436745 | − | 0.684731i | ||||
\(794\) | 2.59884e9 | + | 4.50132e9i | 0.184250 | + | 0.319131i | ||||
\(795\) | − | 7.92736e9i | − | 0.559556i | ||||||
\(796\) | 2.35486e9 | + | 4.07874e9i | 0.165489 | + | 0.286636i | ||||
\(797\) | −4.20985e9 | − | 7.29167e9i | −0.294552 | − | 0.510179i | 0.680329 | − | 0.732907i | \(-0.261837\pi\) |
−0.974881 | + | 0.222728i | \(0.928504\pi\) | |||||||
\(798\) | −1.19344e10 | − | 7.72723e9i | −0.831362 | − | 0.538287i | ||||
\(799\) | 2.47981e10 | − | 1.43172e10i | 1.71990 | − | 0.992988i | ||||
\(800\) | 1.08295e10i | 0.747812i | ||||||||
\(801\) | −1.82286e9 | + | 1.05243e9i | −0.125325 | + | 0.0723566i | ||||
\(802\) | −7.90997e9 | + | 1.37005e10i | −0.541458 | + | 0.937832i | ||||
\(803\) | 1.60747e10 | + | 2.78421e10i | 1.09556 | + | 1.89757i | ||||
\(804\) | 2.85104e9 | + | 1.64605e9i | 0.193467 | + | 0.111698i | ||||
\(805\) | 1.03701e10 | + | 2.02843e10i | 0.700646 | + | 1.37048i | ||||
\(806\) | 4.38695e9 | − | 1.93925e8i | 0.295114 | − | 0.0130455i | ||||
\(807\) | 1.13388e9 | − | 1.96395e9i | 0.0759471 | − | 0.131544i | ||||
\(808\) | − | 4.66923e9i | − | 0.311391i | ||||||
\(809\) | 1.35171e10 | 0.897561 | 0.448780 | − | 0.893642i | \(-0.351859\pi\) | ||||
0.448780 | + | 0.893642i | \(0.351859\pi\) | |||||||
\(810\) | 1.06744e10 | 0.705745 | ||||||||
\(811\) | 8.79108e9i | 0.578721i | 0.957220 | + | 0.289361i | \(0.0934426\pi\) | ||||
−0.957220 | + | 0.289361i | \(0.906557\pi\) | |||||||
\(812\) | 2.63413e9 | + | 1.70553e9i | 0.172660 | + | 0.111793i | ||||
\(813\) | −2.74031e9 | + | 1.58212e9i | −0.178848 | + | 0.103258i | ||||
\(814\) | 1.92853e9 | + | 1.11344e9i | 0.125326 | + | 0.0723568i | ||||
\(815\) | −7.54285e9 | + | 1.30646e10i | −0.488072 | + | 0.845365i | ||||
\(816\) | −1.22462e10 | −0.789017 | ||||||||
\(817\) | −1.73242e10 | + | 1.00021e10i | −1.11142 | + | 0.641676i | ||||
\(818\) | −1.07834e10 | −0.688840 | ||||||||
\(819\) | −4.72449e9 | − | 2.77084e9i | −0.300512 | − | 0.176246i | ||||
\(820\) | −1.11845e10 | −0.708384 | ||||||||
\(821\) | 2.08038e10 | − | 1.20111e10i | 1.31202 | − | 0.757497i | 0.329592 | − | 0.944123i | \(-0.393089\pi\) |
0.982431 | + | 0.186627i | \(0.0597555\pi\) | |||||||
\(822\) | −1.60837e8 | −0.0101003 | ||||||||
\(823\) | −9.85789e9 | + | 1.70744e10i | −0.616431 | + | 1.06769i | 0.373701 | + | 0.927549i | \(0.378089\pi\) |
−0.990132 | + | 0.140140i | \(0.955245\pi\) | |||||||
\(824\) | −9.53014e9 | − | 5.50223e9i | −0.593409 | − | 0.342605i | ||||
\(825\) | 2.62838e10 | − | 1.51750e10i | 1.62967 | − | 0.940890i | ||||
\(826\) | −1.30747e10 | + | 6.68430e9i | −0.807237 | + | 0.412692i | ||||
\(827\) | 2.21357e10i | 1.36090i | 0.732797 | + | 0.680448i | \(0.238215\pi\) | ||||
−0.732797 | + | 0.680448i | \(0.761785\pi\) | |||||||
\(828\) | −1.51889e9 | −0.0929869 | ||||||||
\(829\) | 2.93886e9 | 0.179159 | 0.0895793 | − | 0.995980i | \(-0.471448\pi\) | ||||
0.0895793 | + | 0.995980i | \(0.471448\pi\) | |||||||
\(830\) | − | 2.28270e10i | − | 1.38572i | ||||||
\(831\) | −3.51093e9 | + | 6.08112e9i | −0.212236 | + | 0.367604i | ||||
\(832\) | 9.86668e9 | + | 1.54691e10i | 0.593936 | + | 0.931177i | ||||
\(833\) | 1.01588e10 | + | 2.26509e10i | 0.608952 | + | 1.35777i | ||||
\(834\) | −4.75744e9 | − | 2.74671e9i | −0.283983 | − | 0.163958i | ||||
\(835\) | 1.70669e10 | + | 2.95607e10i | 1.01450 | + | 1.75716i | ||||
\(836\) | 5.35307e9 | − | 9.27179e9i | 0.316870 | − | 0.548835i | ||||
\(837\) | −5.52944e9 | + | 3.19242e9i | −0.325943 | + | 0.188183i | ||||
\(838\) | 1.78519e10i | 1.04793i | ||||||||
\(839\) | 6.37606e9 | − | 3.68122e9i | 0.372723 | − | 0.215191i | −0.301925 | − | 0.953332i | \(-0.597629\pi\) |
0.674647 | + | 0.738140i | \(0.264296\pi\) | |||||||
\(840\) | −1.19504e9 | + | 2.34119e10i | −0.0695670 | + | 1.36289i | ||||
\(841\) | 3.62534e9 | + | 6.27928e9i | 0.210166 | + | 0.364019i | ||||
\(842\) | −2.65527e9 | − | 4.59907e9i | −0.153291 | − | 0.265508i | ||||
\(843\) | 3.18294e9i | 0.182992i | ||||||||
\(844\) | −1.64605e9 | − | 2.85104e9i | −0.0942419 | − | 0.163232i | ||||
\(845\) | −2.23660e10 | + | 1.56971e10i | −1.27523 | + | 0.894993i | ||||
\(846\) | −6.99540e9 | −0.397207 | ||||||||
\(847\) | 2.62613e10 | − | 1.34258e10i | 1.48499 | − | 0.759188i | ||||
\(848\) | 2.59484e9 | − | 4.49440e9i | 0.146125 | − | 0.253097i | ||||
\(849\) | −2.24647e10 | −1.25986 | ||||||||
\(850\) | 2.81339e10 | − | 1.62431e10i | 1.57132 | − | 0.907201i | ||||
\(851\) | −1.59530e9 | − | 9.21048e8i | −0.0887338 | − | 0.0512305i | ||||
\(852\) | − | 1.36686e9i | − | 0.0757156i | ||||||
\(853\) | − | 1.73103e10i | − | 0.954955i | −0.878644 | − | 0.477477i | \(-0.841551\pi\) | ||
0.878644 | − | 0.477477i | \(-0.158449\pi\) | |||||||
\(854\) | 6.86363e9 | − | 1.06006e10i | 0.377096 | − | 0.582409i | ||||
\(855\) | −7.12311e9 | + | 1.23376e10i | −0.389752 | + | 0.675070i | ||||
\(856\) | −1.80277e10 | + | 1.04083e10i | −0.982387 | + | 0.567182i | ||||
\(857\) | −1.70421e10 | − | 2.95178e10i | −0.924890 | − | 1.60196i | −0.791737 | − | 0.610862i | \(-0.790823\pi\) |
−0.133153 | − | 0.991095i | \(-0.542510\pi\) | |||||||
\(858\) | 9.61267e9 | − | 1.84903e10i | 0.519563 | − | 0.999396i | ||||
\(859\) | 3.15343e9 | − | 5.46189e9i | 0.169749 | − | 0.294013i | −0.768583 | − | 0.639750i | \(-0.779038\pi\) |
0.938331 | + | 0.345737i | \(0.112371\pi\) | |||||||
\(860\) | 6.07572e9 | + | 3.50782e9i | 0.325727 | + | 0.188058i | ||||
\(861\) | −2.54114e10 | − | 1.29709e9i | −1.35680 | − | 0.0692565i | ||||
\(862\) | −3.13464e9 | − | 5.42936e9i | −0.166691 | − | 0.288718i | ||||
\(863\) | 3.38609e9 | + | 1.95496e9i | 0.179333 | + | 0.103538i | 0.586979 | − | 0.809602i | \(-0.300317\pi\) |
−0.407646 | + | 0.913140i | \(0.633650\pi\) | |||||||
\(864\) | −9.36344e9 | − | 5.40599e9i | −0.493898 | − | 0.285152i | ||||
\(865\) | −1.82956e10 | − | 1.05630e10i | −0.961147 | − | 0.554918i | ||||
\(866\) | −2.64078e10 | − | 1.52466e10i | −1.38172 | − | 0.797737i | ||||
\(867\) | −9.40559e9 | − | 1.62910e10i | −0.490139 | − | 0.848945i | ||||
\(868\) | −8.19318e8 | − | 1.60261e9i | −0.0425239 | − | 0.0831780i | ||||
\(869\) | 2.41407e10 | + | 1.39377e10i | 1.24790 | + | 0.720478i | ||||
\(870\) | 7.94405e9 | − | 1.37595e10i | 0.409001 | − | 0.708411i | ||||
\(871\) | −1.68421e10 | + | 1.07424e10i | −0.863637 | + | 0.550857i | ||||
\(872\) | 5.89354e9 | + | 1.02079e10i | 0.301001 | + | 0.521350i | ||||
\(873\) | −2.03805e9 | + | 1.17667e9i | −0.103673 | + | 0.0598555i | ||||
\(874\) | 1.19624e10 | − | 2.07195e10i | 0.606077 | − | 1.04976i | ||||
\(875\) | −6.00420e9 | − | 1.17444e10i | −0.302989 | − | 0.592655i | ||||
\(876\) | − | 5.82075e9i | − | 0.292560i | ||||||
\(877\) | 4.23690e9i | 0.212105i | 0.994361 | + | 0.106052i | \(0.0338211\pi\) | ||||
−0.994361 | + | 0.106052i | \(0.966179\pi\) | |||||||
\(878\) | −2.96950e9 | − | 1.71444e9i | −0.148065 | − | 0.0854853i | ||||
\(879\) | 1.30664e10 | − | 7.54392e9i | 0.648928 | − | 0.374659i | ||||
\(880\) | 3.37899e10 | 1.67147 | ||||||||
\(881\) | −1.83214e10 | + | 3.17336e10i | −0.902699 | + | 1.56352i | −0.0787236 | + | 0.996896i | \(0.525084\pi\) |
−0.823976 | + | 0.566625i | \(0.808249\pi\) | |||||||
\(882\) | 6.17521e8 | − | 6.03316e9i | 0.0303048 | − | 0.296077i | ||||
\(883\) | −6.04803e9 | −0.295632 | −0.147816 | − | 0.989015i | \(-0.547224\pi\) | ||||
−0.147816 | + | 0.989015i | \(0.547224\pi\) | |||||||
\(884\) | −3.80880e9 | + | 7.32635e9i | −0.185441 | + | 0.356701i | ||||
\(885\) | −1.37605e10 | − | 2.38338e10i | −0.667316 | − | 1.15583i | ||||
\(886\) | 1.21563e10i | 0.587196i | ||||||||
\(887\) | 3.75352e9 | + | 6.50128e9i | 0.180595 | + | 0.312800i | 0.942083 | − | 0.335379i | \(-0.108864\pi\) |
−0.761488 | + | 0.648179i | \(0.775531\pi\) | |||||||
\(888\) | −9.47773e8 | − | 1.64159e9i | −0.0454212 | − | 0.0786719i | ||||
\(889\) | 2.17675e8 | − | 4.26446e9i | 0.0103909 | − | 0.203567i | ||||
\(890\) | −1.00697e10 | + | 5.81375e9i | −0.478797 | + | 0.276434i | ||||
\(891\) | 1.82864e10i | 0.866076i | ||||||||
\(892\) | 8.67915e9 | − | 5.01091e9i | 0.409450 | − | 0.236396i | ||||
\(893\) | −2.03941e10 | + | 3.53237e10i | −0.958352 | + | 1.65991i | ||||
\(894\) | 4.17658e9 | + | 7.23405e9i | 0.195497 | + | 0.338610i | ||||
\(895\) | −1.57957e10 | − | 9.11964e9i | −0.736475 | − | 0.425204i | ||||
\(896\) | −4.91025e9 | + | 7.58369e9i | −0.228048 | + | 0.352211i | ||||
\(897\) | −7.95172e9 | + | 1.52954e10i | −0.367864 | + | 0.707598i | ||||
\(898\) | 1.07346e10 | − | 1.85929e10i | 0.494676 | − | 0.856803i | ||||
\(899\) | 5.73522e9i | 0.263264i | ||||||||
\(900\) | 2.93783e9 | 0.134332 | ||||||||
\(901\) | 1.45363e10 | 0.662089 | ||||||||
\(902\) | 5.17604e10i | 2.34842i | ||||||||
\(903\) | 1.33973e10 | + | 8.67443e9i | 0.605495 | + | 0.392043i | ||||
\(904\) | 1.20657e10 | − | 6.96615e9i | 0.543205 | − | 0.313620i | ||||
\(905\) | 1.51273e10 | + | 8.73376e9i | 0.678409 | + | 0.391680i | ||||
\(906\) | 3.38120e9 | − | 5.85641e9i | 0.151050 | − | 0.261627i | ||||
\(907\) | −1.67691e10 | −0.746249 | −0.373124 | − | 0.927781i | \(-0.621714\pi\) | ||||
−0.373124 | + | 0.927781i | \(0.621714\pi\) | |||||||
\(908\) | −3.66867e9 | + | 2.11811e9i | −0.162633 | + | 0.0938960i | ||||
\(909\) | −2.26393e9 | −0.0999744 | ||||||||
\(910\) | −2.60987e10 | − | 1.53065e10i | −1.14809 | − | 0.673335i | ||||
\(911\) | 4.60672e9 | 0.201873 | 0.100936 | − | 0.994893i | \(-0.467816\pi\) | ||||
0.100936 | + | 0.994893i | \(0.467816\pi\) | |||||||
\(912\) | 1.51071e10 | − | 8.72207e9i | 0.659475 | − | 0.380748i | ||||
\(913\) | 3.91049e10 | 1.70053 | ||||||||
\(914\) | 7.11200e8 | − | 1.23183e9i | 0.0308092 | − | 0.0533630i | ||||
\(915\) | 2.04974e10 | + | 1.18342e10i | 0.884554 | + | 0.510697i | ||||
\(916\) | 6.17767e9 | − | 3.56668e9i | 0.265577 | − | 0.153331i | ||||
\(917\) | −1.20305e9 | + | 2.35690e10i | −0.0515220 | + | 1.00937i | ||||
\(918\) | 3.24337e10i | 1.38372i | ||||||||
\(919\) | 2.50071e10 | 1.06282 | 0.531408 | − | 0.847116i | \(-0.321663\pi\) | ||||
0.531408 | + | 0.847116i | \(0.321663\pi\) | |||||||
\(920\) | −3.94479e10 | −1.67019 | ||||||||
\(921\) | 1.99921e9i | 0.0843239i | ||||||||
\(922\) | −3.03917e9 | + | 5.26399e9i | −0.127702 | + | 0.221186i | ||||
\(923\) | 7.35900e9 | + | 3.82578e9i | 0.308044 | + | 0.160145i | ||||
\(924\) | −8.53076e9 | − | 4.35443e8i | −0.355743 | − | 0.0181585i | ||||
\(925\) | 3.08562e9 | + | 1.78148e9i | 0.128188 | + | 0.0740091i | ||||
\(926\) | 7.70889e9 | + | 1.33522e10i | 0.319046 | + | 0.552604i | ||||
\(927\) | −2.66781e9 | + | 4.62079e9i | −0.109996 | + | 0.190519i | ||||
\(928\) | −8.41076e9 | + | 4.85595e9i | −0.345476 | + | 0.199460i | ||||
\(929\) | − | 9.47547e9i | − | 0.387744i | −0.981027 | − | 0.193872i | \(-0.937895\pi\) | ||
0.981027 | − | 0.193872i | \(-0.0621047\pi\) | |||||||
\(930\) | −7.89201e9 | + | 4.55645e9i | −0.321734 | + | 0.185753i | ||||
\(931\) | −2.86645e10 | − | 2.07071e10i | −1.16418 | − | 0.840997i | ||||
\(932\) | 1.45690e8 | + | 2.52342e8i | 0.00589485 | + | 0.0102102i | ||||
\(933\) | −1.63573e10 | − | 2.83318e10i | −0.659367 | − | 1.14206i | ||||
\(934\) | 3.44116e10i | 1.38195i | ||||||||
\(935\) | 4.73226e10 | + | 8.19652e10i | 1.89334 | + | 3.27936i | ||||
\(936\) | 7.99599e9 | − | 5.10011e9i | 0.318718 | − | 0.203289i | ||||
\(937\) | −3.22026e10 | −1.27880 | −0.639399 | − | 0.768875i | \(-0.720817\pi\) | ||||
−0.639399 | + | 0.768875i | \(0.720817\pi\) | |||||||
\(938\) | −1.85673e10 | − | 1.20219e10i | −0.734581 | − | 0.475623i | ||||
\(939\) | −7.40887e9 | + | 1.28325e10i | −0.292027 | + | 0.505805i | ||||
\(940\) | 1.43047e10 | 0.561735 | ||||||||
\(941\) | 1.99367e10 | − | 1.15105e10i | 0.779991 | − | 0.450328i | −0.0564362 | − | 0.998406i | \(-0.517974\pi\) |
0.836427 | + | 0.548078i | \(0.184640\pi\) | |||||||
\(942\) | 9.60526e9 | + | 5.54560e9i | 0.374396 | + | 0.216158i | ||||
\(943\) | − | 4.28169e10i | − | 1.66274i | ||||||
\(944\) | − | 1.80167e10i | − | 0.697065i | ||||||
\(945\) | 4.39351e10 | + | 2.24262e9i | 1.69356 | + | 0.0864458i | ||||
\(946\) | 1.62337e10 | − | 2.81176e10i | 0.623446 | − | 1.07984i | ||||
\(947\) | 2.31814e9 | − | 1.33838e9i | 0.0886980 | − | 0.0512098i | −0.454995 | − | 0.890494i | \(-0.650359\pi\) |
0.543693 | + | 0.839284i | \(0.317026\pi\) | |||||||
\(948\) | −2.52346e9 | − | 4.37077e9i | −0.0961984 | − | 0.166621i | ||||
\(949\) | 3.13382e10 | + | 1.62920e10i | 1.19026 | + | 0.618790i | ||||
\(950\) | −2.31375e10 | + | 4.00754e10i | −0.875557 | + | 1.51651i | ||||
\(951\) | −1.98924e10 | − | 1.14849e10i | −0.749991 | − | 0.433007i | ||||
\(952\) | −4.29301e10 | − | 2.19132e9i | −1.61262 | − | 0.0823145i | ||||
\(953\) | 3.15171e9 | + | 5.45892e9i | 0.117956 | + | 0.204306i | 0.918958 | − | 0.394356i | \(-0.129032\pi\) |
−0.801001 | + | 0.598663i | \(0.795699\pi\) | |||||||
\(954\) | −3.07545e9 | − | 1.77561e9i | −0.114681 | − | 0.0662108i | ||||
\(955\) | −7.08714e10 | − | 4.09176e10i | −2.63305 | − | 1.52019i | ||||
\(956\) | −9.74475e9 | − | 5.62614e9i | −0.360718 | − | 0.208261i | ||||
\(957\) | 2.35714e10 | + | 1.36090e10i | 0.869348 | + | 0.501918i | ||||
\(958\) | 5.85006e9 | + | 1.01326e10i | 0.214971 | + | 0.372341i | ||||
\(959\) | −3.99507e8 | − | 2.03924e7i | −0.0146271 | − | 0.000746625i | ||||
\(960\) | −3.29751e10 | − | 1.90382e10i | −1.20292 | − | 0.694505i | ||||
\(961\) | −1.21115e10 | + | 2.09778e10i | −0.440218 | + | 0.762479i | ||||
\(962\) | 2.44411e9 | − | 1.08042e8i | 0.0885133 | − | 0.00391272i | ||||
\(963\) | 5.04658e9 | + | 8.74093e9i | 0.182098 | + | 0.315403i | ||||
\(964\) | −8.81594e9 | + | 5.08989e9i | −0.316956 | + | 0.182995i | ||||
\(965\) | 4.78136e9 | − | 8.28155e9i | 0.171280 | − | 0.296665i | ||||
\(966\) | −1.90635e10 | − | 9.73075e8i | −0.680429 | − | 0.0347317i | ||||
\(967\) | 3.20971e10i | 1.14149i | 0.821126 | + | 0.570747i | \(0.193346\pi\) | ||||
−0.821126 | + | 0.570747i | \(0.806654\pi\) | |||||||
\(968\) | 5.10718e10i | 1.80974i | ||||||||
\(969\) | 4.23148e10 | + | 2.44305e10i | 1.49403 | + | 0.862579i | ||||
\(970\) | −1.12585e10 | + | 6.50008e9i | −0.396075 | + | 0.228674i | ||||
\(971\) | −2.64500e10 | −0.927169 | −0.463584 | − | 0.886053i | \(-0.653437\pi\) | ||||
−0.463584 | + | 0.886053i | \(0.653437\pi\) | |||||||
\(972\) | −2.55417e9 | + | 4.42396e9i | −0.0892110 | + | 0.154518i | ||||
\(973\) | −1.14689e10 | − | 7.42583e9i | −0.399142 | − | 0.258434i | ||||
\(974\) | −6.35959e9 | −0.220533 | ||||||||
\(975\) | 1.53801e10 | − | 2.95842e10i | 0.531428 | − | 1.02222i | ||||
\(976\) | 7.74729e9 | + | 1.34187e10i | 0.266732 | + | 0.461994i | ||||
\(977\) | 2.68843e9i | 0.0922291i | 0.998936 | + | 0.0461145i | \(0.0146839\pi\) | ||||
−0.998936 | + | 0.0461145i | \(0.985316\pi\) | |||||||
\(978\) | −6.32009e9 | − | 1.09467e10i | −0.216041 | − | 0.374195i | ||||
\(979\) | −9.95953e9 | − | 1.72504e10i | −0.339234 | − | 0.587571i | ||||
\(980\) | −1.26275e9 | + | 1.23371e10i | −0.0428575 | + | 0.418717i | ||||
\(981\) | 4.94941e9 | − | 2.85754e9i | 0.167383 | − | 0.0966388i | ||||
\(982\) | 1.55472e10i | 0.523916i | ||||||||
\(983\) | −2.01599e10 | + | 1.16393e10i | −0.676941 | + | 0.390832i | −0.798701 | − | 0.601728i | \(-0.794479\pi\) |
0.121761 | + | 0.992559i | \(0.461146\pi\) | |||||||
\(984\) | 2.20296e10 | − | 3.81565e10i | 0.737097 | − | 1.27669i | ||||
\(985\) | −1.34448e10 | − | 2.32871e10i | −0.448257 | − | 0.776405i | ||||
\(986\) | 2.52306e10 | + | 1.45669e10i | 0.838220 | + | 0.483947i | ||||
\(987\) | 3.25005e10 | + | 1.65895e9i | 1.07592 | + | 0.0549191i | ||||
\(988\) | −5.19433e8 | − | 1.17506e10i | −0.0171348 | − | 0.387624i | ||||
\(989\) | −1.34287e10 | + | 2.32593e10i | −0.441416 | + | 0.764555i | ||||
\(990\) | − | 2.31219e10i | − | 0.757357i | ||||||
\(991\) | 3.85889e10 | 1.25952 | 0.629760 | − | 0.776790i | \(-0.283153\pi\) | ||||
0.629760 | + | 0.776790i | \(0.283153\pi\) | |||||||
\(992\) | 5.57044e9 | 0.181175 | ||||||||
\(993\) | 2.31501e10i | 0.750293i | ||||||||
\(994\) | −4.68171e8 | + | 9.17194e9i | −0.0151200 | + | 0.296216i | ||||
\(995\) | 5.13617e10 | − | 2.96537e10i | 1.65295 | − | 0.954329i | ||||
\(996\) | −6.13154e9 | − | 3.54004e9i | −0.196635 | − | 0.113527i | ||||
\(997\) | −8.67125e9 | + | 1.50190e10i | −0.277108 | + | 0.479965i | −0.970665 | − | 0.240437i | \(-0.922709\pi\) |
0.693557 | + | 0.720402i | \(0.256043\pi\) | |||||||
\(998\) | 3.51719e10 | 1.12005 | ||||||||
\(999\) | −3.08063e9 | + | 1.77860e9i | −0.0977598 | + | 0.0564416i |
(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 | 91.8.u.a.30.20 | yes | 126 | |
7.4 | even | 3 | 91.8.k.a.4.20 | ✓ | 126 | ||
13.10 | even | 6 | 91.8.k.a.23.44 | yes | 126 | ||
91.88 | even | 6 | inner | 91.8.u.a.88.20 | yes | 126 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
91.8.k.a.4.20 | ✓ | 126 | 7.4 | even | 3 | ||
91.8.k.a.23.44 | yes | 126 | 13.10 | even | 6 | ||
91.8.u.a.30.20 | yes | 126 | 1.1 | even | 1 | trivial | |
91.8.u.a.88.20 | yes | 126 | 91.88 | even | 6 | inner |