Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [27,10,Mod(4,27)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(27, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 10, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("27.4");
S:= CuspForms(chi, 10);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 27 = 3^{3} \) |
Weight: | \( k \) | \(=\) | \( 10 \) |
Character orbit: | \([\chi]\) | \(=\) | 27.e (of order \(9\), degree \(6\), 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: | \(13.9059675764\) |
Analytic rank: | \(0\) |
Dimension: | \(156\) |
Relative dimension: | \(26\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 4.15 | ||
Character | \(\chi\) | \(=\) | 27.4 |
Dual form | 27.10.e.a.7.15 |
$q$-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 \(\left(\mathbb{Z}/27\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{1}{9}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 4.82322 | + | 1.75551i | 0.213158 | + | 0.0775832i | 0.446392 | − | 0.894837i | \(-0.352709\pi\) |
−0.233234 | + | 0.972421i | \(0.574931\pi\) | |||||||
\(3\) | −137.543 | + | 27.6597i | −0.980373 | + | 0.197152i | ||||
\(4\) | −372.033 | − | 312.173i | −0.726627 | − | 0.609713i | ||||
\(5\) | 203.603 | − | 1154.69i | 0.145687 | − | 0.826230i | −0.821127 | − | 0.570746i | \(-0.806654\pi\) |
0.966813 | − | 0.255484i | \(-0.0822347\pi\) | |||||||
\(6\) | −711.954 | − | 108.048i | −0.224270 | − | 0.0340359i | ||||
\(7\) | −440.948 | + | 369.999i | −0.0694139 | + | 0.0582452i | −0.676834 | − | 0.736135i | \(-0.736649\pi\) |
0.607421 | + | 0.794380i | \(0.292204\pi\) | |||||||
\(8\) | −2560.36 | − | 4434.68i | −0.221002 | − | 0.382787i | ||||
\(9\) | 18152.9 | − | 7608.76i | 0.922262 | − | 0.386565i | ||||
\(10\) | 3009.09 | − | 5211.90i | 0.0951558 | − | 0.164815i | ||||
\(11\) | 12328.1 | + | 69916.4i | 0.253881 | + | 1.43983i | 0.798928 | + | 0.601426i | \(0.205401\pi\) |
−0.545047 | + | 0.838405i | \(0.683488\pi\) | |||||||
\(12\) | 59805.0 | + | 32646.7i | 0.832572 | + | 0.454490i | ||||
\(13\) | −143827. | + | 52348.7i | −1.39667 | + | 0.508348i | −0.927190 | − | 0.374592i | \(-0.877783\pi\) |
−0.469485 | + | 0.882940i | \(0.655560\pi\) | |||||||
\(14\) | −2776.32 | + | 1010.50i | −0.0193150 | + | 0.00703008i | ||||
\(15\) | 3934.29 | + | 164451.i | 0.0200658 | + | 0.838735i | ||||
\(16\) | 38614.5 | + | 218993.i | 0.147302 | + | 0.835394i | ||||
\(17\) | 164482. | − | 284892.i | 0.477639 | − | 0.827294i | −0.522033 | − | 0.852925i | \(-0.674826\pi\) |
0.999671 | + | 0.0256311i | \(0.00815951\pi\) | |||||||
\(18\) | 100913. | − | 4831.19i | 0.226579 | − | 0.0108475i | ||||
\(19\) | 140625. | + | 243570.i | 0.247555 | + | 0.428779i | 0.962847 | − | 0.270048i | \(-0.0870394\pi\) |
−0.715292 | + | 0.698826i | \(0.753706\pi\) | |||||||
\(20\) | −436210. | + | 366024.i | −0.609622 | + | 0.511534i | ||||
\(21\) | 50415.0 | − | 63087.1i | 0.0565683 | − | 0.0707871i | ||||
\(22\) | −63277.4 | + | 358864.i | −0.0575899 | + | 0.326609i | ||||
\(23\) | 821687. | + | 689477.i | 0.612253 | + | 0.513741i | 0.895358 | − | 0.445348i | \(-0.146920\pi\) |
−0.283105 | + | 0.959089i | \(0.591364\pi\) | |||||||
\(24\) | 474820. | + | 539138.i | 0.292132 | + | 0.331703i | ||||
\(25\) | 543480. | + | 197811.i | 0.278262 | + | 0.101279i | ||||
\(26\) | −785607. | −0.337152 | ||||||||
\(27\) | −2.28634e6 | + | 1.54863e6i | −0.827949 | + | 0.560804i | ||||
\(28\) | 279551. | 0.0859508 | ||||||||
\(29\) | 1.62591e6 | + | 591785.i | 0.426881 | + | 0.155372i | 0.546521 | − | 0.837445i | \(-0.315952\pi\) |
−0.119640 | + | 0.992817i | \(0.538174\pi\) | |||||||
\(30\) | −269718. | + | 800088.i | −0.0607946 | + | 0.180340i | ||||
\(31\) | 4.00947e6 | + | 3.36434e6i | 0.779756 | + | 0.654293i | 0.943187 | − | 0.332262i | \(-0.107812\pi\) |
−0.163431 | + | 0.986555i | \(0.552256\pi\) | |||||||
\(32\) | −653471. | + | 3.70602e6i | −0.110167 | + | 0.624788i | ||||
\(33\) | −3.62951e6 | − | 9.27548e6i | −0.532764 | − | 1.36152i | ||||
\(34\) | 1.29346e6 | − | 1.08535e6i | 0.165997 | − | 0.139288i | ||||
\(35\) | 337456. | + | 584492.i | 0.0380112 | + | 0.0658373i | ||||
\(36\) | −9.12872e6 | − | 2.83613e6i | −0.905834 | − | 0.281426i | ||||
\(37\) | 3.24063e6 | − | 5.61294e6i | 0.284264 | − | 0.492360i | −0.688167 | − | 0.725553i | \(-0.741584\pi\) |
0.972430 | + | 0.233193i | \(0.0749175\pi\) | |||||||
\(38\) | 250677. | + | 1.42166e6i | 0.0195024 | + | 0.110604i | ||||
\(39\) | 1.83344e7 | − | 1.11784e7i | 1.26904 | − | 0.773728i | ||||
\(40\) | −5.64198e6 | + | 2.05351e6i | −0.348467 | + | 0.126832i | ||||
\(41\) | −1.80717e7 | + | 6.57754e6i | −0.998781 | + | 0.363527i | −0.789114 | − | 0.614246i | \(-0.789460\pi\) |
−0.209667 | + | 0.977773i | \(0.567238\pi\) | |||||||
\(42\) | 353913. | − | 215779.i | 0.0175499 | − | 0.0107001i | ||||
\(43\) | −5.74575e6 | − | 3.25858e7i | −0.256294 | − | 1.45352i | −0.792728 | − | 0.609575i | \(-0.791340\pi\) |
0.536434 | − | 0.843942i | \(-0.319771\pi\) | |||||||
\(44\) | 1.72395e7 | − | 2.98597e7i | 0.693407 | − | 1.20102i | ||||
\(45\) | −5.08979e6 | − | 2.25101e7i | −0.185030 | − | 0.818317i | ||||
\(46\) | 2.75279e6 | + | 4.76797e6i | 0.0906490 | + | 0.157009i | ||||
\(47\) | −2.17446e7 | + | 1.82459e7i | −0.649996 | + | 0.545412i | −0.907070 | − | 0.420980i | \(-0.861686\pi\) |
0.257073 | + | 0.966392i | \(0.417242\pi\) | |||||||
\(48\) | −1.13684e7 | − | 2.90528e7i | −0.309111 | − | 0.789956i | ||||
\(49\) | −6.94979e6 | + | 3.94142e7i | −0.172222 | + | 0.976722i | ||||
\(50\) | 2.27407e6 | + | 1.90817e6i | 0.0514562 | + | 0.0431769i | ||||
\(51\) | −1.47433e7 | + | 4.37343e7i | −0.305161 | + | 0.905224i | ||||
\(52\) | 6.98503e7 | + | 2.54234e7i | 1.32481 | + | 0.482191i | ||||
\(53\) | −5.03334e7 | −0.876223 | −0.438112 | − | 0.898921i | \(-0.644353\pi\) | ||||
−0.438112 | + | 0.898921i | \(0.644353\pi\) | |||||||
\(54\) | −1.37461e7 | + | 3.45570e6i | −0.219993 | + | 0.0553050i | ||||
\(55\) | 8.32418e7 | 1.22662 | ||||||||
\(56\) | 2.76981e6 | + | 1.00813e6i | 0.0376361 | + | 0.0136984i | ||||
\(57\) | −2.60790e7 | − | 2.96116e7i | −0.327231 | − | 0.371557i | ||||
\(58\) | 6.80326e6 | + | 5.70861e6i | 0.0789389 | + | 0.0662376i | ||||
\(59\) | −1.89454e7 | + | 1.07445e8i | −0.203549 | + | 1.15438i | 0.696158 | + | 0.717889i | \(0.254891\pi\) |
−0.899707 | + | 0.436495i | \(0.856220\pi\) | |||||||
\(60\) | 4.98734e7 | − | 6.24093e7i | 0.496807 | − | 0.621682i | ||||
\(61\) | −3.81453e7 | + | 3.20077e7i | −0.352742 | + | 0.295985i | −0.801890 | − | 0.597472i | \(-0.796172\pi\) |
0.449148 | + | 0.893457i | \(0.351728\pi\) | |||||||
\(62\) | 1.34324e7 | + | 2.32656e7i | 0.115449 | + | 0.199964i | ||||
\(63\) | −5.18924e6 | + | 1.00716e7i | −0.0415022 | + | 0.0805503i | ||||
\(64\) | 4.72694e7 | − | 8.18730e7i | 0.352184 | − | 0.610001i | ||||
\(65\) | 3.11630e7 | + | 1.76734e8i | 0.216535 | + | 1.22803i | ||||
\(66\) | −1.22273e6 | − | 5.11093e7i | −0.00793200 | − | 0.331552i | ||||
\(67\) | 1.99585e8 | − | 7.26431e7i | 1.21002 | − | 0.440411i | 0.343308 | − | 0.939223i | \(-0.388453\pi\) |
0.866710 | + | 0.498812i | \(0.166230\pi\) | |||||||
\(68\) | −1.50128e8 | + | 5.46423e7i | −0.851477 | + | 0.309912i | ||||
\(69\) | −1.32088e8 | − | 7.21048e7i | −0.701521 | − | 0.382951i | ||||
\(70\) | 601546. | + | 3.41154e6i | 0.00299452 | + | 0.0169828i | ||||
\(71\) | −1.75242e8 | + | 3.03528e8i | −0.818419 | + | 1.41754i | 0.0884276 | + | 0.996083i | \(0.471816\pi\) |
−0.906847 | + | 0.421461i | \(0.861518\pi\) | |||||||
\(72\) | −8.02204e7 | − | 6.10210e7i | −0.351794 | − | 0.267598i | ||||
\(73\) | 1.92455e8 | + | 3.33341e8i | 0.793186 | + | 1.37384i | 0.923984 | + | 0.382430i | \(0.124913\pi\) |
−0.130798 | + | 0.991409i | \(0.541754\pi\) | |||||||
\(74\) | 2.54838e7 | − | 2.13835e7i | 0.0987920 | − | 0.0828963i | ||||
\(75\) | −8.02230e7 | − | 1.21749e7i | −0.292768 | − | 0.0444313i | ||||
\(76\) | 2.37187e7 | − | 1.34516e8i | 0.0815512 | − | 0.462500i | ||||
\(77\) | −3.13051e7 | − | 2.62681e7i | −0.101486 | − | 0.0851569i | ||||
\(78\) | 1.08054e8 | − | 2.17296e7i | 0.330535 | − | 0.0664702i | ||||
\(79\) | 4.56193e7 | + | 1.66041e7i | 0.131773 | + | 0.0479615i | 0.407065 | − | 0.913399i | \(-0.366552\pi\) |
−0.275292 | + | 0.961361i | \(0.588774\pi\) | |||||||
\(80\) | 2.60732e8 | 0.711687 | ||||||||
\(81\) | 2.71634e8 | − | 2.76242e8i | 0.701135 | − | 0.713029i | ||||
\(82\) | −9.87104e7 | −0.241102 | ||||||||
\(83\) | −1.67411e8 | − | 6.09326e7i | −0.387197 | − | 0.140928i | 0.141084 | − | 0.989998i | \(-0.454941\pi\) |
−0.528281 | + | 0.849069i | \(0.677163\pi\) | |||||||
\(84\) | −3.84502e7 | + | 7.73229e6i | −0.0842638 | + | 0.0169454i | ||||
\(85\) | −2.95473e8 | − | 2.47931e8i | −0.613949 | − | 0.515165i | ||||
\(86\) | 2.94916e7 | − | 1.67255e8i | 0.0581373 | − | 0.329713i | ||||
\(87\) | −2.40001e8 | − | 3.64233e7i | −0.449134 | − | 0.0681620i | ||||
\(88\) | 2.78492e8 | − | 2.33682e8i | 0.495040 | − | 0.415388i | ||||
\(89\) | −3.40131e8 | − | 5.89124e8i | −0.574634 | − | 0.995295i | −0.996081 | − | 0.0884419i | \(-0.971811\pi\) |
0.421448 | − | 0.906853i | \(-0.361522\pi\) | |||||||
\(90\) | 1.49676e7 | − | 1.17506e8i | 0.0240470 | − | 0.188786i | ||||
\(91\) | 4.40512e7 | − | 7.62990e7i | 0.0673398 | − | 0.116636i | ||||
\(92\) | −9.04587e7 | − | 5.13017e8i | −0.131645 | − | 0.746597i | ||||
\(93\) | −6.44529e8 | − | 3.51839e8i | −0.893447 | − | 0.487721i | ||||
\(94\) | −1.36910e8 | + | 4.98311e7i | −0.180867 | + | 0.0658301i | ||||
\(95\) | 3.09880e8 | − | 1.12787e8i | 0.390335 | − | 0.142070i | ||||
\(96\) | −1.26272e7 | − | 5.27810e8i | −0.0151736 | − | 0.634245i | ||||
\(97\) | 2.16877e8 | + | 1.22997e9i | 0.248737 | + | 1.41066i | 0.811650 | + | 0.584144i | \(0.198569\pi\) |
−0.562913 | + | 0.826516i | \(0.690319\pi\) | |||||||
\(98\) | −1.02712e8 | + | 1.77903e8i | −0.112488 | + | 0.194835i | ||||
\(99\) | 7.55768e8 | + | 1.17538e9i | 0.790734 | + | 1.22976i | ||||
\(100\) | −1.40442e8 | − | 2.43252e8i | −0.140442 | − | 0.243252i | ||||
\(101\) | −1.70877e8 | + | 1.43383e8i | −0.163395 | + | 0.137104i | −0.720819 | − | 0.693123i | \(-0.756234\pi\) |
0.557424 | + | 0.830228i | \(0.311790\pi\) | |||||||
\(102\) | −1.47886e8 | + | 1.85058e8i | −0.135278 | + | 0.169281i | ||||
\(103\) | 1.03428e8 | − | 5.86567e8i | 0.0905460 | − | 0.513512i | −0.905476 | − | 0.424399i | \(-0.860486\pi\) |
0.996021 | − | 0.0891133i | \(-0.0284033\pi\) | |||||||
\(104\) | 6.00399e8 | + | 5.03794e8i | 0.503257 | + | 0.422283i | ||||
\(105\) | −6.25815e7 | − | 7.10585e7i | −0.0502451 | − | 0.0570511i | ||||
\(106\) | −2.42769e8 | − | 8.83606e7i | −0.186774 | − | 0.0679802i | ||||
\(107\) | 1.08574e9 | 0.800754 | 0.400377 | − | 0.916351i | \(-0.368879\pi\) | ||||
0.400377 | + | 0.916351i | \(0.368879\pi\) | |||||||
\(108\) | 1.33403e9 | + | 1.37590e8i | 0.943539 | + | 0.0973152i | ||||
\(109\) | −1.86453e9 | −1.26517 | −0.632587 | − | 0.774489i | \(-0.718007\pi\) | ||||
−0.632587 | + | 0.774489i | \(0.718007\pi\) | |||||||
\(110\) | 4.01493e8 | + | 1.46132e8i | 0.261464 | + | 0.0951650i | ||||
\(111\) | −2.90472e8 | + | 8.61652e8i | −0.181615 | + | 0.538739i | ||||
\(112\) | −9.80544e7 | − | 8.22774e7i | −0.0588825 | − | 0.0494083i | ||||
\(113\) | −2.47881e8 | + | 1.40580e9i | −0.143018 | + | 0.811095i | 0.825919 | + | 0.563788i | \(0.190657\pi\) |
−0.968937 | + | 0.247307i | \(0.920454\pi\) | |||||||
\(114\) | −7.38015e7 | − | 1.88605e8i | −0.0409254 | − | 0.104588i | ||||
\(115\) | 9.63431e8 | − | 8.08414e8i | 0.513665 | − | 0.431016i | ||||
\(116\) | −4.20155e8 | − | 7.27730e8i | −0.215451 | − | 0.373172i | ||||
\(117\) | −2.21257e9 | + | 2.04463e9i | −1.09159 | + | 1.00874i | ||||
\(118\) | −2.79997e8 | + | 4.84970e8i | −0.132949 | + | 0.230274i | ||||
\(119\) | 3.28816e7 | + | 1.86481e8i | 0.0150311 | + | 0.0852458i | ||||
\(120\) | 7.19212e8 | − | 4.38501e8i | 0.316622 | − | 0.193043i | ||||
\(121\) | −2.52057e9 | + | 9.17412e8i | −1.06897 | + | 0.389072i | ||||
\(122\) | −2.40173e8 | + | 8.74158e7i | −0.0981532 | + | 0.0357249i | ||||
\(123\) | 2.30369e9 | − | 1.40455e9i | 0.907508 | − | 0.553304i | ||||
\(124\) | −4.41398e8 | − | 2.50329e9i | −0.167661 | − | 0.950855i | ||||
\(125\) | 1.48409e9 | − | 2.57052e9i | 0.543707 | − | 0.941727i | ||||
\(126\) | −4.27097e7 | + | 3.94679e7i | −0.0150959 | + | 0.0139501i | ||||
\(127\) | 2.21753e9 | + | 3.84088e9i | 0.756402 | + | 1.31013i | 0.944674 | + | 0.328010i | \(0.106378\pi\) |
−0.188272 | + | 0.982117i | \(0.560289\pi\) | |||||||
\(128\) | 1.84770e9 | − | 1.55040e9i | 0.608396 | − | 0.510505i | ||||
\(129\) | 1.69160e9 | + | 4.32301e9i | 0.537828 | + | 1.37446i | ||||
\(130\) | −1.59952e8 | + | 9.07134e8i | −0.0491185 | + | 0.278565i | ||||
\(131\) | −1.64912e9 | − | 1.38378e9i | −0.489251 | − | 0.410530i | 0.364507 | − | 0.931201i | \(-0.381237\pi\) |
−0.853758 | + | 0.520671i | \(0.825682\pi\) | |||||||
\(132\) | −1.54526e9 | + | 4.58382e9i | −0.443014 | + | 1.31415i | ||||
\(133\) | −1.52129e8 | − | 5.53705e7i | −0.0421580 | − | 0.0153443i | ||||
\(134\) | 1.09017e9 | 0.292094 | ||||||||
\(135\) | 1.32269e9 | + | 2.95532e9i | 0.342732 | + | 0.765777i | ||||
\(136\) | −1.68454e9 | −0.422236 | ||||||||
\(137\) | 3.56983e9 | + | 1.29931e9i | 0.865775 | + | 0.315116i | 0.736455 | − | 0.676487i | \(-0.236498\pi\) |
0.129320 | + | 0.991603i | \(0.458721\pi\) | |||||||
\(138\) | −5.10506e8 | − | 5.79658e8i | −0.119824 | − | 0.136055i | ||||
\(139\) | −4.78102e9 | − | 4.01175e9i | −1.08631 | − | 0.911523i | −0.0898811 | − | 0.995953i | \(-0.528649\pi\) |
−0.996429 | + | 0.0844297i | \(0.973093\pi\) | |||||||
\(140\) | 5.69175e7 | − | 3.22795e8i | 0.0125219 | − | 0.0710151i | ||||
\(141\) | 2.48613e9 | − | 3.11103e9i | 0.529710 | − | 0.662855i | ||||
\(142\) | −1.37808e9 | + | 1.15634e9i | −0.284430 | + | 0.238665i | ||||
\(143\) | −5.43315e9 | − | 9.41050e9i | −1.08653 | − | 1.88192i | ||||
\(144\) | 2.36723e9 | + | 3.68155e9i | 0.458786 | + | 0.713510i | ||||
\(145\) | 1.01437e9 | − | 1.75694e9i | 0.190564 | − | 0.330066i | ||||
\(146\) | 3.43067e8 | + | 1.94563e9i | 0.0624873 | + | 0.354383i | ||||
\(147\) | −1.34293e8 | − | 5.61336e9i | −0.0237206 | − | 0.991506i | ||||
\(148\) | −2.95783e9 | + | 1.07656e9i | −0.506752 | + | 0.184443i | ||||
\(149\) | −4.70352e9 | + | 1.71194e9i | −0.781780 | + | 0.284545i | −0.701915 | − | 0.712261i | \(-0.747671\pi\) |
−0.0798651 | + | 0.996806i | \(0.525449\pi\) | |||||||
\(150\) | −3.65560e8 | − | 1.99554e8i | −0.0589587 | − | 0.0321848i | ||||
\(151\) | −5.60010e8 | − | 3.17597e9i | −0.0876595 | − | 0.497142i | −0.996751 | − | 0.0805453i | \(-0.974334\pi\) |
0.909091 | − | 0.416597i | \(-0.136777\pi\) | |||||||
\(152\) | 7.20103e8 | − | 1.24726e9i | 0.109421 | − | 0.189522i | ||||
\(153\) | 8.18155e8 | − | 6.42312e9i | 0.120705 | − | 0.947621i | ||||
\(154\) | −1.04877e8 | − | 1.81653e8i | −0.0150258 | − | 0.0260255i | ||||
\(155\) | 4.70111e9 | − | 3.94470e9i | 0.654196 | − | 0.548936i | ||||
\(156\) | −1.03106e10 | − | 1.56476e9i | −1.39387 | − | 0.211538i | ||||
\(157\) | 8.02176e8 | − | 4.54936e9i | 0.105371 | − | 0.597589i | −0.885701 | − | 0.464257i | \(-0.846321\pi\) |
0.991071 | − | 0.133332i | \(-0.0425675\pi\) | |||||||
\(158\) | 1.90883e8 | + | 1.60170e8i | 0.0243675 | + | 0.0204468i | ||||
\(159\) | 6.92298e9 | − | 1.39221e9i | 0.859025 | − | 0.172749i | ||||
\(160\) | 4.14626e9 | + | 1.50911e9i | 0.500169 | + | 0.182047i | ||||
\(161\) | −6.17427e8 | −0.0724218 | ||||||||
\(162\) | 1.79509e9 | − | 8.55520e8i | 0.204772 | − | 0.0975916i | ||||
\(163\) | 4.02954e9 | 0.447107 | 0.223553 | − | 0.974692i | \(-0.428234\pi\) | ||||
0.223553 | + | 0.974692i | \(0.428234\pi\) | |||||||
\(164\) | 8.77658e9 | + | 3.19442e9i | 0.947389 | + | 0.344821i | ||||
\(165\) | −1.14493e10 | + | 2.30244e9i | −1.20254 | + | 0.241830i | ||||
\(166\) | −7.00491e8 | − | 5.87782e8i | −0.0716006 | − | 0.0600800i | ||||
\(167\) | −1.78494e9 | + | 1.01229e10i | −0.177583 | + | 1.00712i | 0.757538 | + | 0.652791i | \(0.226402\pi\) |
−0.935120 | + | 0.354330i | \(0.884709\pi\) | |||||||
\(168\) | −4.08852e8 | − | 6.20485e7i | −0.0395981 | − | 0.00600952i | ||||
\(169\) | 9.82229e9 | − | 8.24188e9i | 0.926238 | − | 0.777206i | ||||
\(170\) | −9.89885e8 | − | 1.71453e9i | −0.0909002 | − | 0.157444i | ||||
\(171\) | 4.40602e9 | + | 3.35152e9i | 0.394062 | + | 0.299750i | ||||
\(172\) | −8.03479e9 | + | 1.39167e10i | −0.699997 | + | 1.21243i | ||||
\(173\) | 1.57684e9 | + | 8.94273e9i | 0.133839 | + | 0.759037i | 0.975661 | + | 0.219283i | \(0.0703716\pi\) |
−0.841823 | + | 0.539754i | \(0.818517\pi\) | |||||||
\(174\) | −1.09364e9 | − | 5.97001e8i | −0.0904484 | − | 0.0493746i | ||||
\(175\) | −3.12836e8 | + | 1.13863e8i | −0.0252143 | + | 0.00917724i | ||||
\(176\) | −1.48352e10 | + | 5.39956e9i | −1.16543 | + | 0.424182i | ||||
\(177\) | −3.66088e8 | − | 1.53022e10i | −0.0280353 | − | 1.17186i | ||||
\(178\) | −6.06314e8 | − | 3.43857e9i | −0.0452697 | − | 0.256737i | ||||
\(179\) | −9.77182e9 | + | 1.69253e10i | −0.711438 | + | 1.23225i | 0.252880 | + | 0.967498i | \(0.418622\pi\) |
−0.964318 | + | 0.264748i | \(0.914711\pi\) | |||||||
\(180\) | −5.13349e9 | + | 9.96341e9i | −0.364490 | + | 0.707427i | ||||
\(181\) | 1.29853e10 | + | 2.24912e10i | 0.899289 | + | 1.55761i | 0.828405 | + | 0.560129i | \(0.189248\pi\) |
0.0708832 | + | 0.997485i | \(0.477418\pi\) | |||||||
\(182\) | 3.46412e8 | − | 2.90674e8i | 0.0234030 | − | 0.0196375i | ||||
\(183\) | 4.36128e9 | − | 5.45751e9i | 0.287464 | − | 0.359720i | ||||
\(184\) | 9.53792e8 | − | 5.40922e9i | 0.0613442 | − | 0.347900i | ||||
\(185\) | −5.82140e9 | − | 4.88474e9i | −0.365389 | − | 0.306597i | ||||
\(186\) | −2.49104e9 | − | 2.82847e9i | −0.152607 | − | 0.173278i | ||||
\(187\) | 2.19464e10 | + | 7.98783e9i | 1.31243 | + | 0.477685i | ||||
\(188\) | 1.37856e10 | 0.804850 | ||||||||
\(189\) | 4.35163e8 | − | 1.52881e9i | 0.0248070 | − | 0.0871516i | ||||
\(190\) | 1.69262e9 | 0.0942253 | ||||||||
\(191\) | 1.30602e10 | + | 4.75351e9i | 0.710065 | + | 0.258443i | 0.671702 | − | 0.740821i | \(-0.265563\pi\) |
0.0383631 | + | 0.999264i | \(0.487786\pi\) | |||||||
\(192\) | −4.23697e9 | + | 1.25685e10i | −0.225009 | + | 0.667463i | ||||
\(193\) | −3.44582e8 | − | 2.89139e8i | −0.0178766 | − | 0.0150002i | 0.633806 | − | 0.773492i | \(-0.281492\pi\) |
−0.651682 | + | 0.758492i | \(0.725936\pi\) | |||||||
\(194\) | −1.11318e9 | + | 6.31315e9i | −0.0564231 | + | 0.319991i | ||||
\(195\) | −9.17464e9 | − | 2.34465e10i | −0.454395 | − | 1.16124i | ||||
\(196\) | 1.48896e10 | − | 1.24939e10i | 0.720661 | − | 0.604706i | ||||
\(197\) | −1.48978e10 | − | 2.58038e10i | −0.704734 | − | 1.22063i | −0.966788 | − | 0.255581i | \(-0.917733\pi\) |
0.262054 | − | 0.965053i | \(-0.415600\pi\) | |||||||
\(198\) | 1.58184e9 | + | 6.99588e9i | 0.0731426 | + | 0.323481i | ||||
\(199\) | −1.10366e10 | + | 1.91160e10i | −0.498881 | + | 0.864086i | −0.999999 | − | 0.00129214i | \(-0.999589\pi\) |
0.501119 | + | 0.865379i | \(0.332922\pi\) | |||||||
\(200\) | −5.14280e8 | − | 2.91663e9i | −0.0227282 | − | 0.128898i | ||||
\(201\) | −2.54422e10 | + | 1.55120e10i | −1.09944 | + | 0.670324i | ||||
\(202\) | −1.07589e9 | + | 3.91591e8i | −0.0454659 | + | 0.0165482i | ||||
\(203\) | −9.35904e8 | + | 3.40641e8i | −0.0386811 | + | 0.0140788i | ||||
\(204\) | 1.91377e10 | − | 1.16681e10i | 0.773665 | − | 0.471700i | ||||
\(205\) | 3.91558e9 | + | 2.22064e10i | 0.154847 | + | 0.878184i | ||||
\(206\) | 1.52858e9 | − | 2.64757e9i | 0.0591405 | − | 0.102434i | ||||
\(207\) | 2.01620e10 | + | 6.26398e9i | 0.763252 | + | 0.237128i | ||||
\(208\) | −1.70178e10 | − | 2.94758e10i | −0.630404 | − | 1.09189i | ||||
\(209\) | −1.52959e10 | + | 1.28348e10i | −0.554519 | + | 0.465297i | ||||
\(210\) | −1.77100e8 | − | 4.52593e8i | −0.00628394 | − | 0.0160591i | ||||
\(211\) | 1.04654e9 | − | 5.93525e9i | 0.0363485 | − | 0.206143i | −0.961225 | − | 0.275766i | \(-0.911069\pi\) |
0.997573 | + | 0.0696232i | \(0.0221797\pi\) | |||||||
\(212\) | 1.87257e10 | + | 1.57127e10i | 0.636688 | + | 0.534244i | ||||
\(213\) | 1.57077e10 | − | 4.65952e10i | 0.522884 | − | 1.55107i | ||||
\(214\) | 5.23676e9 | + | 1.90602e9i | 0.170687 | + | 0.0621250i | ||||
\(215\) | −3.87964e10 | −1.23828 | ||||||||
\(216\) | 1.27215e10 | + | 6.17411e9i | 0.397647 | + | 0.192989i | ||||
\(217\) | −3.01277e9 | −0.0922353 | ||||||||
\(218\) | −8.99303e9 | − | 3.27320e9i | −0.269682 | − | 0.0981562i | ||||
\(219\) | −3.56908e10 | − | 4.05253e10i | −1.04847 | − | 1.19050i | ||||
\(220\) | −3.09687e10 | − | 2.59858e10i | −0.891294 | − | 0.747885i | ||||
\(221\) | −8.74328e9 | + | 4.95856e10i | −0.246552 | + | 1.39827i | ||||
\(222\) | −2.91365e9 | + | 3.64601e9i | −0.0805098 | + | 0.100746i | ||||
\(223\) | 4.79845e10 | − | 4.02638e10i | 1.29936 | − | 1.09029i | 0.309104 | − | 0.951028i | \(-0.399971\pi\) |
0.990255 | − | 0.139264i | \(-0.0444736\pi\) | |||||||
\(224\) | −1.08308e9 | − | 1.87595e9i | −0.0287438 | − | 0.0497857i | ||||
\(225\) | 1.13708e10 | − | 5.44379e8i | 0.295781 | − | 0.0141606i | ||||
\(226\) | −3.66348e9 | + | 6.34534e9i | −0.0934128 | + | 0.161796i | ||||
\(227\) | 2.56021e9 | + | 1.45197e10i | 0.0639969 | + | 0.362944i | 0.999942 | + | 0.0107977i | \(0.00343709\pi\) |
−0.935945 | + | 0.352147i | \(0.885452\pi\) | |||||||
\(228\) | 4.58325e8 | + | 1.91577e10i | 0.0112322 | + | 0.469500i | ||||
\(229\) | 4.91315e9 | − | 1.78824e9i | 0.118059 | − | 0.0429701i | −0.282315 | − | 0.959322i | \(-0.591102\pi\) |
0.400374 | + | 0.916352i | \(0.368880\pi\) | |||||||
\(230\) | 6.06601e9 | − | 2.20785e9i | 0.142932 | − | 0.0520228i | ||||
\(231\) | 5.03235e9 | + | 2.74709e9i | 0.116283 | + | 0.0634774i | ||||
\(232\) | −1.53856e9 | − | 8.72559e9i | −0.0348672 | − | 0.197742i | ||||
\(233\) | 3.50624e10 | − | 6.07298e10i | 0.779363 | − | 1.34990i | −0.152947 | − | 0.988234i | \(-0.548876\pi\) |
0.932310 | − | 0.361661i | \(-0.117790\pi\) | |||||||
\(234\) | −1.42610e10 | + | 5.97750e9i | −0.310942 | + | 0.130331i | ||||
\(235\) | 1.66411e10 | + | 2.88232e10i | 0.355940 | + | 0.616505i | ||||
\(236\) | 4.05896e10 | − | 3.40587e10i | 0.851747 | − | 0.714700i | ||||
\(237\) | −6.73386e9 | − | 1.02195e9i | −0.138642 | − | 0.0210408i | ||||
\(238\) | −1.68774e8 | + | 9.57162e8i | −0.00340964 | + | 0.0193370i | ||||
\(239\) | −4.76010e10 | − | 3.99420e10i | −0.943681 | − | 0.791842i | 0.0345410 | − | 0.999403i | \(-0.489003\pi\) |
−0.978222 | + | 0.207561i | \(0.933448\pi\) | |||||||
\(240\) | −3.58617e10 | + | 7.21176e9i | −0.697719 | + | 0.140311i | ||||
\(241\) | −1.98105e10 | − | 7.21044e9i | −0.378285 | − | 0.137684i | 0.145878 | − | 0.989303i | \(-0.453399\pi\) |
−0.524163 | + | 0.851618i | \(0.675622\pi\) | |||||||
\(242\) | −1.37678e10 | −0.258045 | ||||||||
\(243\) | −2.97204e10 | + | 4.55083e10i | −0.546798 | + | 0.837264i | ||||
\(244\) | 2.41832e10 | 0.436778 | ||||||||
\(245\) | 4.40963e10 | + | 1.60497e10i | 0.781906 | + | 0.284590i | ||||
\(246\) | 1.35769e10 | − | 2.73030e9i | 0.236370 | − | 0.0475338i | ||||
\(247\) | −3.29763e10 | − | 2.76704e10i | −0.563723 | − | 0.473020i | ||||
\(248\) | 4.65408e9 | − | 2.63946e10i | 0.0781271 | − | 0.443081i | ||||
\(249\) | 2.47115e10 | + | 3.75029e9i | 0.407382 | + | 0.0618255i | ||||
\(250\) | 1.16706e10 | − | 9.79283e9i | 0.188958 | − | 0.158554i | ||||
\(251\) | 2.25558e10 | + | 3.90679e10i | 0.358697 | + | 0.621281i | 0.987743 | − | 0.156087i | \(-0.0498879\pi\) |
−0.629047 | + | 0.777368i | \(0.716555\pi\) | |||||||
\(252\) | 5.07466e9 | − | 2.12704e9i | 0.0792692 | − | 0.0332256i | ||||
\(253\) | −3.80758e10 | + | 6.59493e10i | −0.584261 | + | 1.01197i | ||||
\(254\) | 3.95295e9 | + | 2.24183e10i | 0.0595894 | + | 0.337948i | ||||
\(255\) | 4.74978e10 | + | 2.59284e10i | 0.703465 | + | 0.384012i | ||||
\(256\) | −3.38512e10 | + | 1.23208e10i | −0.492599 | + | 0.179291i | ||||
\(257\) | −7.93532e10 | + | 2.88822e10i | −1.13466 | + | 0.412982i | −0.839982 | − | 0.542614i | \(-0.817435\pi\) |
−0.294678 | + | 0.955597i | \(0.595212\pi\) | |||||||
\(258\) | 5.69875e8 | + | 2.38204e10i | 0.00800739 | + | 0.334704i | ||||
\(259\) | 6.47833e8 | + | 3.67404e9i | 0.00894570 | + | 0.0507336i | ||||
\(260\) | 4.35779e10 | − | 7.54792e10i | 0.591407 | − | 1.02435i | ||||
\(261\) | 3.40178e10 | − | 1.62860e9i | 0.453757 | − | 0.0217237i | ||||
\(262\) | −5.52483e9 | − | 9.56929e9i | −0.0724375 | − | 0.125465i | ||||
\(263\) | 4.66786e10 | − | 3.91680e10i | 0.601612 | − | 0.504812i | −0.290351 | − | 0.956920i | \(-0.593772\pi\) |
0.891963 | + | 0.452108i | \(0.149328\pi\) | |||||||
\(264\) | −3.18409e10 | + | 3.98443e10i | −0.403429 | + | 0.504834i | ||||
\(265\) | −1.02480e10 | + | 5.81195e10i | −0.127654 | + | 0.723961i | ||||
\(266\) | −6.36549e8 | − | 5.34128e8i | −0.00779587 | − | 0.00654151i | ||||
\(267\) | 6.30774e10 | + | 7.16217e10i | 0.759580 | + | 0.862470i | ||||
\(268\) | −9.69295e10 | − | 3.52795e10i | −1.14776 | − | 0.417749i | ||||
\(269\) | −1.46201e10 | −0.170242 | −0.0851209 | − | 0.996371i | \(-0.527128\pi\) | ||||
−0.0851209 | + | 0.996371i | \(0.527128\pi\) | |||||||
\(270\) | 1.19151e9 | + | 1.65761e10i | 0.0136446 | + | 0.189822i | ||||
\(271\) | 2.22347e10 | 0.250420 | 0.125210 | − | 0.992130i | \(-0.460039\pi\) | ||||
0.125210 | + | 0.992130i | \(0.460039\pi\) | |||||||
\(272\) | 6.87409e10 | + | 2.50196e10i | 0.761474 | + | 0.277154i | ||||
\(273\) | −3.94851e9 | + | 1.17128e10i | −0.0430231 | + | 0.127623i | ||||
\(274\) | 1.49371e10 | + | 1.25337e10i | 0.160099 | + | 0.134339i | ||||
\(275\) | −7.13010e9 | + | 4.04368e10i | −0.0751794 | + | 0.426363i | ||||
\(276\) | 2.66318e10 | + | 6.80595e10i | 0.276254 | + | 0.705989i | ||||
\(277\) | −1.16713e11 | + | 9.79335e10i | −1.19113 | + | 0.999476i | −0.191290 | + | 0.981534i | \(0.561267\pi\) |
−0.999839 | + | 0.0179427i | \(0.994288\pi\) | |||||||
\(278\) | −1.60172e10 | − | 2.77427e10i | −0.160837 | − | 0.278578i | ||||
\(279\) | 9.83818e10 | + | 3.05654e10i | 0.972067 | + | 0.302003i | ||||
\(280\) | 1.72802e9 | − | 2.99302e9i | 0.0168011 | − | 0.0291004i | ||||
\(281\) | −8.09146e9 | − | 4.58890e10i | −0.0774192 | − | 0.439066i | −0.998736 | − | 0.0502543i | \(-0.983997\pi\) |
0.921317 | − | 0.388812i | \(-0.127114\pi\) | |||||||
\(282\) | 1.74526e10 | − | 1.06408e10i | 0.164338 | − | 0.100196i | ||||
\(283\) | −1.08318e11 | + | 3.94245e10i | −1.00383 | + | 0.365365i | −0.791061 | − | 0.611737i | \(-0.790471\pi\) |
−0.212771 | + | 0.977102i | \(0.568249\pi\) | |||||||
\(284\) | 1.59949e11 | − | 5.82167e10i | 1.45898 | − | 0.531025i | ||||
\(285\) | −3.95020e10 | + | 2.40842e10i | −0.354664 | + | 0.216237i | ||||
\(286\) | −9.68508e9 | − | 5.49268e10i | −0.0855965 | − | 0.485442i | ||||
\(287\) | 5.53497e9 | − | 9.58685e9i | 0.0481556 | − | 0.0834080i | ||||
\(288\) | 1.63358e10 | + | 7.22471e10i | 0.139919 | + | 0.618805i | ||||
\(289\) | 5.18499e9 | + | 8.98066e9i | 0.0437227 | + | 0.0757300i | ||||
\(290\) | 7.97685e9 | − | 6.69337e9i | 0.0662278 | − | 0.0555717i | ||||
\(291\) | −6.38504e10 | − | 1.63175e11i | −0.521970 | − | 1.33393i | ||||
\(292\) | 3.24606e10 | − | 1.84093e11i | 0.261296 | − | 1.48188i | ||||
\(293\) | 1.29042e10 | + | 1.08279e10i | 0.102288 | + | 0.0858299i | 0.692497 | − | 0.721420i | \(-0.256510\pi\) |
−0.590209 | + | 0.807250i | \(0.700955\pi\) | |||||||
\(294\) | 9.20658e9 | − | 2.73102e10i | 0.0718679 | − | 0.213188i | ||||
\(295\) | 1.20208e11 | + | 4.37521e10i | 0.924132 | + | 0.336356i | ||||
\(296\) | −3.31887e10 | −0.251292 | ||||||||
\(297\) | −1.36461e11 | − | 1.40761e11i | −1.01766 | − | 1.04973i | ||||
\(298\) | −2.56914e10 | −0.188719 | ||||||||
\(299\) | −1.54274e11 | − | 5.61511e10i | −1.11628 | − | 0.406292i | ||||
\(300\) | 2.60450e10 | + | 2.95729e10i | 0.185643 | + | 0.210789i | ||||
\(301\) | 1.45903e10 | + | 1.22427e10i | 0.102451 | + | 0.0859664i | ||||
\(302\) | 2.87440e9 | − | 1.63015e10i | 0.0198845 | − | 0.112771i | ||||
\(303\) | 1.95369e10 | − | 2.44476e10i | 0.133157 | − | 0.166627i | ||||
\(304\) | −4.79101e10 | + | 4.02014e10i | −0.321733 | + | 0.269966i | ||||
\(305\) | 2.91925e10 | + | 5.05629e10i | 0.193162 | + | 0.334567i | ||||
\(306\) | 1.52220e10 | − | 2.95438e10i | 0.0992486 | − | 0.192628i | ||||
\(307\) | 1.28073e11 | − | 2.21829e11i | 0.822878 | − | 1.42527i | −0.0806528 | − | 0.996742i | \(-0.525701\pi\) |
0.903531 | − | 0.428524i | \(-0.140966\pi\) | |||||||
\(308\) | 3.44634e9 | + | 1.95452e10i | 0.0218213 | + | 0.123755i | ||||
\(309\) | 1.99857e9 | + | 8.35387e10i | 0.0124711 | + | 0.521284i | ||||
\(310\) | 2.95995e10 | − | 1.07733e10i | 0.182035 | − | 0.0662555i | ||||
\(311\) | 6.65416e10 | − | 2.42192e10i | 0.403340 | − | 0.146804i | −0.132381 | − | 0.991199i | \(-0.542262\pi\) |
0.535721 | + | 0.844395i | \(0.320040\pi\) | |||||||
\(312\) | −9.65151e10 | − | 5.26863e10i | −0.576633 | − | 0.314776i | ||||
\(313\) | 3.00272e9 | + | 1.70293e10i | 0.0176834 | + | 0.100287i | 0.992372 | − | 0.123279i | \(-0.0393411\pi\) |
−0.974689 | + | 0.223567i | \(0.928230\pi\) | |||||||
\(314\) | 1.18555e10 | − | 2.05343e10i | 0.0688235 | − | 0.119206i | ||||
\(315\) | 1.05731e10 | + | 8.04258e9i | 0.0605067 | + | 0.0460255i | ||||
\(316\) | −1.17886e10 | − | 2.04184e10i | −0.0665072 | − | 0.115194i | ||||
\(317\) | −1.80799e11 | + | 1.51709e11i | −1.00561 | + | 0.843807i | −0.987752 | − | 0.156033i | \(-0.950129\pi\) |
−0.0178587 | + | 0.999841i | \(0.505685\pi\) | |||||||
\(318\) | 3.58351e10 | + | 5.43843e9i | 0.196511 | + | 0.0298230i | ||||
\(319\) | −2.13309e10 | + | 1.20974e11i | −0.115332 | + | 0.654083i | ||||
\(320\) | −8.49138e10 | − | 7.12511e10i | −0.452693 | − | 0.379854i | ||||
\(321\) | −1.49335e11 | + | 3.00312e10i | −0.785037 | + | 0.157870i | ||||
\(322\) | −2.97799e9 | − | 1.08390e9i | −0.0154373 | − | 0.00561871i | ||||
\(323\) | 9.25216e10 | 0.472968 | ||||||||
\(324\) | −1.87292e11 | + | 1.79744e10i | −0.944206 | + | 0.0906156i | ||||
\(325\) | −8.85223e10 | −0.440127 | ||||||||
\(326\) | 1.94353e10 | + | 7.07389e9i | 0.0953044 | + | 0.0346880i | ||||
\(327\) | 2.56452e11 | − | 5.15723e10i | 1.24034 | − | 0.249432i | ||||
\(328\) | 7.54392e10 | + | 6.33010e10i | 0.359886 | + | 0.301980i | ||||
\(329\) | 2.83727e9 | − | 1.60910e10i | 0.0133512 | − | 0.0757183i | ||||
\(330\) | −5.92644e10 | − | 8.99414e9i | −0.275094 | − | 0.0417491i | ||||
\(331\) | 1.82248e11 | − | 1.52924e11i | 0.834519 | − | 0.700244i | −0.121805 | − | 0.992554i | \(-0.538868\pi\) |
0.956324 | + | 0.292310i | \(0.0944238\pi\) | |||||||
\(332\) | 4.32609e10 | + | 7.49301e10i | 0.195422 | + | 0.338481i | ||||
\(333\) | 1.61193e10 | − | 1.26548e11i | 0.0718367 | − | 0.563971i | ||||
\(334\) | −2.63800e10 | + | 4.56916e10i | −0.115989 | + | 0.200899i | ||||
\(335\) | −4.32441e10 | − | 2.45250e11i | −0.187597 | − | 1.06391i | ||||
\(336\) | 1.57624e10 | + | 8.60449e9i | 0.0674677 | + | 0.0368297i | ||||
\(337\) | 3.87477e11 | − | 1.41030e11i | 1.63648 | − | 0.595631i | 0.650064 | − | 0.759879i | \(-0.274742\pi\) |
0.986419 | + | 0.164248i | \(0.0525197\pi\) | |||||||
\(338\) | 6.18437e10 | − | 2.25093e10i | 0.257733 | − | 0.0938072i | ||||
\(339\) | −4.78989e9 | − | 2.00214e11i | −0.0196982 | − | 0.823372i | ||||
\(340\) | 3.25283e10 | + | 1.84477e11i | 0.132010 | + | 0.748665i | ||||
\(341\) | −1.85793e11 | + | 3.21803e11i | −0.744107 | + | 1.28883i | ||||
\(342\) | 1.53676e10 | + | 2.38999e10i | 0.0607419 | + | 0.0944667i | ||||
\(343\) | −2.31329e10 | − | 4.00673e10i | −0.0902414 | − | 0.156303i | ||||
\(344\) | −1.29796e11 | + | 1.08912e11i | −0.499746 | + | 0.419336i | ||||
\(345\) | −1.10152e11 | + | 1.37840e11i | −0.418608 | + | 0.523827i | ||||
\(346\) | −8.09357e9 | + | 4.59009e10i | −0.0303597 | + | 0.172178i | ||||
\(347\) | −8.58760e8 | − | 7.20585e8i | −0.00317972 | − | 0.00266810i | 0.641196 | − | 0.767377i | \(-0.278438\pi\) |
−0.644376 | + | 0.764709i | \(0.722883\pi\) | |||||||
\(348\) | 7.79180e10 | + | 8.84724e10i | 0.284794 | + | 0.323371i | ||||
\(349\) | −2.74997e11 | − | 1.00091e11i | −0.992231 | − | 0.361143i | −0.205647 | − | 0.978626i | \(-0.565930\pi\) |
−0.786584 | + | 0.617484i | \(0.788152\pi\) | |||||||
\(350\) | −1.70877e9 | −0.00608662 | ||||||||
\(351\) | 2.47768e11 | − | 3.42422e11i | 0.871291 | − | 1.20415i | ||||
\(352\) | −2.67168e11 | −0.927559 | ||||||||
\(353\) | −4.45541e11 | − | 1.62164e11i | −1.52722 | − | 0.555862i | −0.564281 | − | 0.825583i | \(-0.690846\pi\) |
−0.962939 | + | 0.269721i | \(0.913069\pi\) | |||||||
\(354\) | 2.50974e10 | − | 7.44486e10i | 0.0849405 | − | 0.251966i | ||||
\(355\) | 3.14801e11 | + | 2.64150e11i | 1.05198 | + | 0.882719i | ||||
\(356\) | −5.73686e10 | + | 3.25353e11i | −0.189299 | + | 1.07357i | ||||
\(357\) | −9.68062e9 | − | 2.47396e10i | −0.0315425 | − | 0.0806093i | ||||
\(358\) | −7.68441e10 | + | 6.44798e10i | −0.247250 | + | 0.207468i | ||||
\(359\) | 2.51241e11 | + | 4.35163e11i | 0.798300 | + | 1.38270i | 0.920722 | + | 0.390218i | \(0.127600\pi\) |
−0.122422 | + | 0.992478i | \(0.539066\pi\) | |||||||
\(360\) | −8.67935e10 | + | 8.02056e10i | −0.272349 | + | 0.251677i | ||||
\(361\) | 1.21793e11 | − | 2.10951e11i | 0.377433 | − | 0.653733i | ||||
\(362\) | 2.31475e10 | + | 1.31276e11i | 0.0708460 | + | 0.401788i | ||||
\(363\) | 3.21310e11 | − | 1.95901e11i | 0.971280 | − | 0.592185i | ||||
\(364\) | −4.02070e10 | + | 1.46341e10i | −0.120045 | + | 0.0436929i | ||||
\(365\) | 4.24090e11 | − | 1.54356e11i | 1.25066 | − | 0.455204i | ||||
\(366\) | 3.06161e10 | − | 1.86665e10i | 0.0891835 | − | 0.0543748i | ||||
\(367\) | 8.92505e10 | + | 5.06165e11i | 0.256811 | + | 1.45645i | 0.791382 | + | 0.611323i | \(0.209362\pi\) |
−0.534571 | + | 0.845124i | \(0.679527\pi\) | |||||||
\(368\) | −1.19262e11 | + | 2.06568e11i | −0.338990 | + | 0.587148i | ||||
\(369\) | −2.78006e11 | + | 2.56904e11i | −0.780611 | + | 0.721361i | ||||
\(370\) | −1.95027e10 | − | 3.37797e10i | −0.0540987 | − | 0.0937017i | ||||
\(371\) | 2.21944e10 | − | 1.86233e10i | 0.0608220 | − | 0.0510357i | ||||
\(372\) | 1.29951e11 | + | 3.32100e11i | 0.351834 | + | 0.899137i | ||||
\(373\) | −3.61006e10 | + | 2.04737e11i | −0.0965661 | + | 0.547653i | 0.897690 | + | 0.440627i | \(0.145244\pi\) |
−0.994256 | + | 0.107026i | \(0.965867\pi\) | |||||||
\(374\) | 9.18294e10 | + | 7.70540e10i | 0.242694 | + | 0.203645i | ||||
\(375\) | −1.33026e11 | + | 3.94605e11i | −0.347372 | + | 1.03044i | ||||
\(376\) | 1.36589e11 | + | 4.97142e10i | 0.352427 | + | 0.128273i | ||||
\(377\) | −2.64830e11 | −0.675197 | ||||||||
\(378\) | 4.78272e9 | − | 6.60985e9i | 0.0120493 | − | 0.0166525i | ||||
\(379\) | 5.11931e11 | 1.27449 | 0.637243 | − | 0.770663i | \(-0.280075\pi\) | ||||
0.637243 | + | 0.770663i | \(0.280075\pi\) | |||||||
\(380\) | −1.50495e11 | − | 5.47756e10i | −0.370250 | − | 0.134760i | ||||
\(381\) | −4.11242e11 | − | 4.66947e11i | −0.999851 | − | 1.13529i | ||||
\(382\) | 5.46472e10 | + | 4.58544e10i | 0.131305 | + | 0.110178i | ||||
\(383\) | 6.18978e10 | − | 3.51040e11i | 0.146988 | − | 0.833608i | −0.818762 | − | 0.574133i | \(-0.805339\pi\) |
0.965750 | − | 0.259475i | \(-0.0835496\pi\) | |||||||
\(384\) | −2.11253e11 | + | 2.64353e11i | −0.495808 | + | 0.620432i | ||||
\(385\) | −3.67053e10 | + | 3.07994e10i | −0.0851443 | + | 0.0714446i | ||||
\(386\) | −1.15441e9 | − | 1.99950e9i | −0.00264677 | − | 0.00458435i | ||||
\(387\) | −3.52240e11 | − | 5.47808e11i | −0.798250 | − | 1.24145i | ||||
\(388\) | 3.03278e11 | − | 5.25293e11i | 0.679358 | − | 1.17668i | ||||
\(389\) | 6.84736e10 | + | 3.88333e11i | 0.151618 | + | 0.859866i | 0.961813 | + | 0.273707i | \(0.0882498\pi\) |
−0.810196 | + | 0.586160i | \(0.800639\pi\) | |||||||
\(390\) | −3.09081e9 | − | 1.29194e11i | −0.00676521 | − | 0.282781i | ||||
\(391\) | 3.31579e11 | − | 1.20685e11i | 0.717451 | − | 0.261131i | ||||
\(392\) | 1.92583e11 | − | 7.00946e10i | 0.411938 | − | 0.149933i | ||||
\(393\) | 2.65099e11 | + | 1.44714e11i | 0.560585 | + | 0.306016i | ||||
\(394\) | −2.65567e10 | − | 1.50611e11i | −0.0555190 | − | 0.314864i | ||||
\(395\) | 2.84608e10 | − | 4.92955e10i | 0.0588248 | − | 0.101887i | ||||
\(396\) | 8.57514e10 | − | 6.73211e11i | 0.175232 | − | 1.37570i | ||||
\(397\) | −6.50349e10 | − | 1.12644e11i | −0.131398 | − | 0.227588i | 0.792818 | − | 0.609459i | \(-0.208613\pi\) |
−0.924216 | + | 0.381871i | \(0.875280\pi\) | |||||||
\(398\) | −8.67901e10 | + | 7.28256e10i | −0.173379 | + | 0.145482i | ||||
\(399\) | 2.24558e10 | + | 3.40795e9i | 0.0443558 | + | 0.00673156i | ||||
\(400\) | −2.23331e10 | + | 1.26657e11i | −0.0436192 | + | 0.247377i | ||||
\(401\) | −7.62899e11 | − | 6.40148e11i | −1.47339 | − | 1.23632i | −0.912917 | − | 0.408145i | \(-0.866176\pi\) |
−0.560471 | − | 0.828174i | \(-0.689380\pi\) | |||||||
\(402\) | −1.49945e11 | + | 3.01537e10i | −0.286361 | + | 0.0575869i | ||||
\(403\) | −7.52788e11 | − | 2.73993e11i | −1.42167 | − | 0.517447i | ||||
\(404\) | 1.08332e11 | 0.202321 | ||||||||
\(405\) | −2.63669e11 | − | 3.69897e11i | −0.486980 | − | 0.683177i | ||||
\(406\) | −5.11207e9 | −0.00933747 | ||||||||
\(407\) | 4.32387e11 | + | 1.57376e11i | 0.781084 | + | 0.284291i | ||||
\(408\) | 2.31696e11 | − | 4.65938e10i | 0.413949 | − | 0.0832448i | ||||
\(409\) | −1.81185e11 | − | 1.52032e11i | −0.320160 | − | 0.268646i | 0.468516 | − | 0.883455i | \(-0.344789\pi\) |
−0.788676 | + | 0.614809i | \(0.789233\pi\) | |||||||
\(410\) | −2.00978e10 | + | 1.13980e11i | −0.0351253 | + | 0.199206i | ||||
\(411\) | −5.26942e11 | − | 7.99703e10i | −0.910908 | − | 0.138242i | ||||
\(412\) | −2.21589e11 | + | 1.85935e11i | −0.378888 | + | 0.317925i | ||||
\(413\) | −3.14005e10 | − | 5.43872e10i | −0.0531081 | − | 0.0919860i | ||||
\(414\) | 8.62495e10 | + | 6.56071e10i | 0.144296 | + | 0.109761i | ||||
\(415\) | −1.04444e11 | + | 1.80902e11i | −0.172849 | + | 0.299382i | ||||
\(416\) | −1.00019e11 | − | 5.67234e11i | −0.163742 | − | 0.928629i | ||||
\(417\) | 7.68557e11 | + | 4.19545e11i | 1.24470 | + | 0.679464i | ||||
\(418\) | −9.63070e10 | + | 3.50529e10i | −0.154300 | + | 0.0561604i | ||||
\(419\) | 5.69703e11 | − | 2.07355e11i | 0.902995 | − | 0.328663i | 0.151543 | − | 0.988451i | \(-0.451576\pi\) |
0.751452 | + | 0.659787i | \(0.229354\pi\) | |||||||
\(420\) | 1.09983e9 | + | 4.59724e10i | 0.00172467 | + | 0.0720900i | ||||
\(421\) | −1.59940e11 | − | 9.07063e11i | −0.248134 | − | 1.40724i | −0.813100 | − | 0.582124i | \(-0.802222\pi\) |
0.564966 | − | 0.825114i | \(-0.308889\pi\) | |||||||
\(422\) | 1.54671e10 | − | 2.67898e10i | 0.0237412 | − | 0.0411209i | ||||
\(423\) | −2.55899e11 | + | 4.96665e11i | −0.388630 | + | 0.754279i | ||||
\(424\) | 1.28872e11 | + | 2.23212e11i | 0.193647 | + | 0.335407i | ||||
\(425\) | 1.45748e11 | − | 1.22297e11i | 0.216696 | − | 0.181830i | ||||
\(426\) | 1.57560e11 | − | 1.97164e11i | 0.231794 | − | 0.290057i | ||||
\(427\) | 4.97726e9 | − | 2.82275e10i | 0.00724545 | − | 0.0410910i | ||||
\(428\) | −4.03931e11 | − | 3.38939e11i | −0.581849 | − | 0.488230i | ||||
\(429\) | 1.00758e12 | + | 1.14406e12i | 1.43622 | + | 1.63077i | ||||
\(430\) | −1.87123e11 | − | 6.81073e10i | −0.263949 | − | 0.0960695i | ||||
\(431\) | 1.12321e12 | 1.56788 | 0.783941 | − | 0.620836i | \(-0.213207\pi\) | ||||
0.783941 | + | 0.620836i | \(0.213207\pi\) | |||||||
\(432\) | −4.27426e11 | − | 4.40893e11i | −0.590451 | − | 0.609055i | ||||
\(433\) | −2.33971e11 | −0.319864 | −0.159932 | − | 0.987128i | \(-0.551128\pi\) | ||||
−0.159932 | + | 0.987128i | \(0.551128\pi\) | |||||||
\(434\) | −1.45312e10 | − | 5.28894e9i | −0.0196607 | − | 0.00715591i | ||||
\(435\) | −9.09225e10 | + | 2.69711e11i | −0.121750 | + | 0.361158i | ||||
\(436\) | 6.93667e11 | + | 5.82056e11i | 0.919310 | + | 0.771392i | ||||
\(437\) | −5.23861e10 | + | 2.97096e11i | −0.0687147 | + | 0.389700i | ||||
\(438\) | −1.01002e11 | − | 2.58118e11i | −0.131128 | − | 0.335108i | ||||
\(439\) | −9.14258e11 | + | 7.67153e11i | −1.17484 | + | 0.985807i | −0.174839 | + | 0.984597i | \(0.555941\pi\) |
−0.999999 | + | 0.00120975i | \(0.999615\pi\) | |||||||
\(440\) | −2.13129e11 | − | 3.69151e11i | −0.271085 | − | 0.469533i | ||||
\(441\) | 1.73735e11 | + | 7.68362e11i | 0.218732 | + | 0.967369i | ||||
\(442\) | −1.29219e11 | + | 2.23813e11i | −0.161037 | + | 0.278924i | ||||
\(443\) | −6.46091e10 | − | 3.66417e11i | −0.0797035 | − | 0.452021i | −0.998374 | − | 0.0569970i | \(-0.981847\pi\) |
0.918671 | − | 0.395024i | \(-0.129264\pi\) | |||||||
\(444\) | 3.77050e11 | − | 2.29886e11i | 0.460442 | − | 0.280730i | ||||
\(445\) | −7.49508e11 | + | 2.72798e11i | −0.906058 | + | 0.329778i | ||||
\(446\) | 3.02123e11 | − | 1.09964e11i | 0.361557 | − | 0.131596i | ||||
\(447\) | 5.99582e11 | − | 3.65562e11i | 0.710337 | − | 0.433089i | ||||
\(448\) | 9.44961e9 | + | 5.35914e10i | 0.0110831 | + | 0.0628556i | ||||
\(449\) | −5.94911e11 | + | 1.03042e12i | −0.690786 | + | 1.19648i | 0.280794 | + | 0.959768i | \(0.409402\pi\) |
−0.971581 | + | 0.236709i | \(0.923931\pi\) | |||||||
\(450\) | 5.57997e10 | + | 1.73359e10i | 0.0641468 | + | 0.0199292i | ||||
\(451\) | −6.82668e11 | − | 1.18242e12i | −0.776989 | − | 1.34578i | ||||
\(452\) | 5.31074e11 | − | 4.45624e11i | 0.598456 | − | 0.502164i | ||||
\(453\) | 1.64872e11 | + | 4.21342e11i | 0.183952 | + | 0.470102i | ||||
\(454\) | −1.31409e10 | + | 7.45260e10i | −0.0145169 | + | 0.0823296i | ||||
\(455\) | −7.91327e10 | − | 6.64003e10i | −0.0865575 | − | 0.0726304i | ||||
\(456\) | −6.45461e10 | + | 1.91469e11i | −0.0699083 | + | 0.207375i | ||||
\(457\) | 4.38390e11 | + | 1.59561e11i | 0.470151 | + | 0.171121i | 0.566221 | − | 0.824254i | \(-0.308405\pi\) |
−0.0960696 | + | 0.995375i | \(0.530627\pi\) | |||||||
\(458\) | 2.68365e10 | 0.0284991 | ||||||||
\(459\) | 6.51303e10 | + | 9.06082e11i | 0.0684898 | + | 0.952819i | ||||
\(460\) | −6.10793e11 | −0.636039 | ||||||||
\(461\) | −4.28880e11 | − | 1.56100e11i | −0.442264 | − | 0.160971i | 0.111283 | − | 0.993789i | \(-0.464504\pi\) |
−0.553547 | + | 0.832818i | \(0.686726\pi\) | |||||||
\(462\) | 1.94496e10 | + | 2.20841e10i | 0.0198619 | + | 0.0225523i | ||||
\(463\) | −6.66831e11 | − | 5.59538e11i | −0.674375 | − | 0.565868i | 0.239982 | − | 0.970777i | \(-0.422859\pi\) |
−0.914357 | + | 0.404909i | \(0.867303\pi\) | |||||||
\(464\) | −6.68131e10 | + | 3.78916e11i | −0.0669161 | + | 0.379500i | ||||
\(465\) | −5.37494e11 | + | 6.72596e11i | −0.533133 | + | 0.667138i | ||||
\(466\) | 2.75725e11 | − | 2.31361e11i | 0.270857 | − | 0.227276i | ||||
\(467\) | −6.42551e11 | − | 1.11293e12i | −0.625146 | − | 1.08279i | −0.988513 | − | 0.151139i | \(-0.951706\pi\) |
0.363366 | − | 0.931646i | \(-0.381627\pi\) | |||||||
\(468\) | 1.46142e12 | − | 6.99658e10i | 1.40822 | − | 0.0674185i | ||||
\(469\) | −6.11288e10 | + | 1.05878e11i | −0.0583403 | + | 0.101048i | ||||
\(470\) | 2.96642e10 | + | 1.68234e11i | 0.0280409 | + | 0.159028i | ||||
\(471\) | 1.55007e10 | + | 6.47919e11i | 0.0145130 | + | 0.606634i | ||||
\(472\) | 5.24989e11 | − | 1.91080e11i | 0.486868 | − | 0.177205i | ||||
\(473\) | 2.20745e12 | − | 8.03444e11i | 2.02775 | − | 0.738041i | ||||
\(474\) | −3.06848e10 | − | 1.67504e10i | −0.0279204 | − | 0.0152413i | ||||
\(475\) | 2.82463e10 | + | 1.60193e11i | 0.0254590 | + | 0.144385i | ||||
\(476\) | 4.59812e10 | − | 7.96418e10i | 0.0410534 | − | 0.0711066i | ||||
\(477\) | −9.13696e11 | + | 3.82975e11i | −0.808107 | + | 0.338717i | ||||
\(478\) | −1.59471e11 | − | 2.76213e11i | −0.139720 | − | 0.242001i | ||||
\(479\) | −9.49325e11 | + | 7.96578e11i | −0.823958 | + | 0.691383i | −0.953895 | − | 0.300139i | \(-0.902967\pi\) |
0.129937 | + | 0.991522i | \(0.458522\pi\) | |||||||
\(480\) | −6.12028e11 | − | 9.28832e10i | −0.526243 | − | 0.0798641i | ||||
\(481\) | −1.72260e11 | + | 9.76935e11i | −0.146734 | + | 0.832171i | ||||
\(482\) | −8.28924e10 | − | 6.95550e10i | −0.0699525 | − | 0.0586971i | ||||
\(483\) | 8.49225e10 | − | 1.70778e10i | 0.0710004 | − | 0.0142781i | ||||
\(484\) | 1.22413e12 | + | 4.45546e11i | 1.01396 | + | 0.369052i | ||||
\(485\) | 1.46439e12 | 1.20177 | ||||||||
\(486\) | −2.23238e11 | + | 1.67322e11i | −0.181512 | + | 0.136047i | ||||
\(487\) | 1.32515e12 | 1.06754 | 0.533769 | − | 0.845630i | \(-0.320775\pi\) | ||||
0.533769 | + | 0.845630i | \(0.320775\pi\) | |||||||
\(488\) | 2.39610e11 | + | 8.72107e10i | 0.191256 | + | 0.0696115i | ||||
\(489\) | −5.54233e11 | + | 1.11456e11i | −0.438331 | + | 0.0881481i | ||||
\(490\) | 1.84510e11 | + | 1.54823e11i | 0.144590 | + | 0.121326i | ||||
\(491\) | −3.50397e11 | + | 1.98720e12i | −0.272078 | + | 1.54303i | 0.476015 | + | 0.879437i | \(0.342081\pi\) |
−0.748093 | + | 0.663594i | \(0.769030\pi\) | |||||||
\(492\) | −1.29551e12 | − | 1.96610e11i | −0.996776 | − | 0.151274i | ||||
\(493\) | 4.36029e11 | − | 3.65872e11i | 0.332433 | − | 0.278945i | ||||
\(494\) | −1.10476e11 | − | 1.91351e11i | −0.0834637 | − | 0.144563i | ||||
\(495\) | 1.51108e12 | − | 6.33367e11i | 1.13126 | − | 0.474168i | ||||
\(496\) | −5.81945e11 | + | 1.00796e12i | −0.431732 | + | 0.747783i | ||||
\(497\) | −3.50326e10 | − | 1.98680e11i | −0.0257554 | − | 0.146066i | ||||
\(498\) | 1.12605e11 | + | 6.14697e10i | 0.0820402 | + | 0.0447846i | ||||
\(499\) | −4.82759e11 | + | 1.75710e11i | −0.348560 | + | 0.126865i | −0.510366 | − | 0.859957i | \(-0.670490\pi\) |
0.161806 | + | 0.986823i | \(0.448268\pi\) | |||||||
\(500\) | −1.35458e12 | + | 4.93025e11i | −0.969255 | + | 0.352780i | ||||
\(501\) | −3.44911e10 | − | 1.44170e12i | −0.0244589 | − | 1.02237i | ||||
\(502\) | 4.02078e10 | + | 2.28030e11i | 0.0282581 | + | 0.160260i | ||||
\(503\) | 7.16695e11 | − | 1.24135e12i | 0.499204 | − | 0.864647i | −0.500795 | − | 0.865566i | \(-0.666959\pi\) |
1.00000 | 0.000918437i | \(0.000292348\pi\) | ||||||||
\(504\) | 5.79507e10 | − | 2.77439e9i | 0.0400057 | − | 0.00191527i | ||||
\(505\) | 1.30772e11 | + | 2.26503e11i | 0.0894753 | + | 0.154976i | ||||
\(506\) | −2.99423e11 | + | 2.51245e11i | −0.203052 | + | 0.170381i | ||||
\(507\) | −1.12301e12 | + | 1.40529e12i | −0.754831 | + | 0.944562i | ||||
\(508\) | 3.74022e11 | − | 2.12119e12i | 0.249179 | − | 1.41316i | ||||
\(509\) | −7.35298e11 | − | 6.16988e11i | −0.485549 | − | 0.407424i | 0.366879 | − | 0.930269i | \(-0.380426\pi\) |
−0.852428 | + | 0.522845i | \(0.824871\pi\) | |||||||
\(510\) | 1.83575e11 | + | 2.08441e11i | 0.120156 | + | 0.136432i | ||||
\(511\) | −2.08198e11 | − | 7.57780e10i | −0.135078 | − | 0.0491642i | ||||
\(512\) | −1.41984e12 | −0.913116 | ||||||||
\(513\) | −6.98717e11 | − | 3.39107e11i | −0.445424 | − | 0.216176i | ||||
\(514\) | −4.33441e11 | −0.273902 | ||||||||
\(515\) | −6.56246e11 | − | 2.38854e11i | −0.411087 | − | 0.149624i | ||||
\(516\) | 7.20195e11 | − | 2.13637e12i | 0.447225 | − | 1.32664i | ||||
\(517\) | −1.54376e12 | − | 1.29537e12i | −0.950323 | − | 0.797416i | ||||
\(518\) | −3.32517e9 | + | 1.88580e10i | −0.00202923 | + | 0.0115083i | ||||
\(519\) | −4.64236e11 | − | 1.18639e12i | −0.280857 | − | 0.717752i | ||||
\(520\) | 7.03970e11 | − | 5.90701e11i | 0.422220 | − | 0.354285i | ||||
\(521\) | 1.14586e12 | + | 1.98469e12i | 0.681336 | + | 1.18011i | 0.974573 | + | 0.224069i | \(0.0719340\pi\) |
−0.293238 | + | 0.956040i | \(0.594733\pi\) | |||||||
\(522\) | 1.66934e11 | + | 5.18634e10i | 0.0984075 | + | 0.0305734i | ||||
\(523\) | −4.98633e11 | + | 8.63657e11i | −0.291422 | + | 0.504759i | −0.974146 | − | 0.225918i | \(-0.927462\pi\) |
0.682724 | + | 0.730677i | \(0.260795\pi\) | |||||||
\(524\) | 1.81550e11 | + | 1.02962e12i | 0.105197 | + | 0.596604i | ||||
\(525\) | 3.98789e10 | − | 2.43140e10i | 0.0229101 | − | 0.0139682i | ||||
\(526\) | 2.93900e11 | − | 1.06971e11i | 0.167403 | − | 0.0609299i | ||||
\(527\) | 1.61796e12 | − | 5.88889e11i | 0.913735 | − | 0.332572i | ||||
\(528\) | 1.89112e12 | − | 1.15301e12i | 1.05893 | − | 0.645623i | ||||
\(529\) | −1.12976e11 | − | 6.40721e11i | −0.0627245 | − | 0.355728i | ||||
\(530\) | −1.51458e11 | + | 2.62332e11i | −0.0833777 | + | 0.144414i | ||||
\(531\) | 4.73607e11 | + | 2.09458e12i | 0.258519 | + | 1.14333i | ||||
\(532\) | 3.93120e10 | + | 6.80903e10i | 0.0212776 | + | 0.0368539i | ||||
\(533\) | 2.25486e12 | − | 1.89206e12i | 1.21017 | − | 1.01546i | ||||
\(534\) | 1.78504e11 | + | 4.56180e11i | 0.0949974 | + | 0.242773i | ||||
\(535\) | 2.21060e11 | − | 1.25369e12i | 0.116659 | − | 0.661606i | ||||
\(536\) | −8.33159e11 | − | 6.99103e11i | −0.436000 | − | 0.365847i | ||||
\(537\) | 8.75892e11 | − | 2.59823e12i | 0.454534 | − | 1.34832i | ||||
\(538\) | −7.05161e10 | − | 2.56658e10i | −0.0362884 | − | 0.0132079i | ||||
\(539\) | −2.84138e12 | −1.45004 | ||||||||
\(540\) | 4.30488e11 | − | 1.51238e12i | 0.217866 | − | 0.765402i | ||||
\(541\) | 2.03546e11 | 0.102159 | 0.0510794 | − | 0.998695i | \(-0.483734\pi\) | ||||
0.0510794 | + | 0.998695i | \(0.483734\pi\) | |||||||
\(542\) | 1.07243e11 | + | 3.90332e10i | 0.0533791 | + | 0.0194284i | ||||
\(543\) | −2.40813e12 | − | 2.73433e12i | −1.18873 | − | 1.34975i | ||||
\(544\) | 9.48331e11 | + | 7.95744e11i | 0.464264 | + | 0.389564i | ||||
\(545\) | −3.79624e11 | + | 2.15296e12i | −0.184319 | + | 1.04532i | ||||
\(546\) | −3.96064e10 | + | 4.95617e10i | −0.0190721 | + | 0.0238660i | ||||
\(547\) | 5.09924e11 | − | 4.27877e11i | 0.243536 | − | 0.204351i | −0.512847 | − | 0.858480i | \(-0.671409\pi\) |
0.756383 | + | 0.654129i | \(0.226965\pi\) | |||||||
\(548\) | −9.22485e11 | − | 1.59779e12i | −0.436965 | − | 0.756846i | ||||
\(549\) | −4.48908e11 | + | 8.71271e11i | −0.210903 | + | 0.409334i | ||||
\(550\) | −1.05377e11 | + | 1.82519e11i | −0.0491037 | + | 0.0850501i | ||||
\(551\) | 8.45037e10 | + | 4.79244e11i | 0.0390565 | + | 0.221501i | ||||
\(552\) | 1.84304e10 | + | 7.70380e11i | 0.00844909 | + | 0.353166i | ||||
\(553\) | −2.62592e10 | + | 9.55758e9i | −0.0119404 | + | 0.00434595i | ||||
\(554\) | −7.34853e11 | + | 2.67465e11i | −0.331441 | + | 0.120635i | ||||
\(555\) | 9.35801e11 | + | 5.10841e11i | 0.418663 | + | 0.228543i | ||||
\(556\) | 5.26338e11 | + | 2.98501e12i | 0.233576 | + | 1.32467i | ||||
\(557\) | 4.51240e11 | − | 7.81571e11i | 0.198637 | − | 0.344049i | −0.749450 | − | 0.662061i | \(-0.769682\pi\) |
0.948087 | + | 0.318012i | \(0.103015\pi\) | |||||||
\(558\) | 4.20859e11 | + | 3.20134e11i | 0.183774 | + | 0.139790i | ||||
\(559\) | 2.53222e12 | + | 4.38593e12i | 1.09685 | + | 1.89980i | ||||
\(560\) | −1.14969e11 | + | 9.64706e10i | −0.0494009 | + | 0.0414523i | ||||
\(561\) | −3.23950e12 | − | 4.91636e11i | −1.38085 | − | 0.209561i | ||||
\(562\) | 4.15315e10 | − | 2.35537e11i | 0.0175616 | − | 0.0995969i | ||||
\(563\) | −3.00202e12 | − | 2.51899e12i | −1.25929 | − | 1.05667i | −0.995757 | − | 0.0920186i | \(-0.970668\pi\) |
−0.263532 | − | 0.964651i | \(-0.584887\pi\) | |||||||
\(564\) | −1.89610e12 | + | 3.81305e11i | −0.789053 | + | 0.158678i | ||||
\(565\) | 1.57280e12 | + | 5.72452e11i | 0.649315 | + | 0.236331i | ||||
\(566\) | −5.91651e11 | −0.242321 | ||||||||
\(567\) | −1.75671e10 | + | 2.22313e11i | −0.00713799 | + | 0.0903318i | ||||
\(568\) | 1.79473e12 | 0.723489 | ||||||||
\(569\) | 3.73460e12 | + | 1.35928e12i | 1.49361 | + | 0.543631i | 0.954398 | − | 0.298536i | \(-0.0964984\pi\) |
0.539216 | + | 0.842168i | \(0.318721\pi\) | |||||||
\(570\) | −2.32807e11 | + | 4.68173e10i | −0.0923760 | + | 0.0185767i | ||||
\(571\) | −7.88821e11 | − | 6.61899e11i | −0.310539 | − | 0.260573i | 0.474176 | − | 0.880430i | \(-0.342746\pi\) |
−0.784715 | + | 0.619857i | \(0.787191\pi\) | |||||||
\(572\) | −9.16389e11 | + | 5.19710e12i | −0.357930 | + | 2.02992i | ||||
\(573\) | −1.92781e12 | − | 2.92570e11i | −0.747081 | − | 0.113379i | ||||
\(574\) | 4.35262e10 | − | 3.65228e10i | 0.0167358 | − | 0.0140430i | ||||
\(575\) | 3.10185e11 | + | 5.37256e11i | 0.118335 | + | 0.204963i | ||||
\(576\) | 2.35124e11 | − | 1.84589e12i | 0.0890010 | − | 0.698723i | ||||
\(577\) | 8.29829e11 | − | 1.43731e12i | 0.311672 | − | 0.539832i | −0.667053 | − | 0.745011i | \(-0.732444\pi\) |
0.978724 | + | 0.205179i | \(0.0657777\pi\) | |||||||
\(578\) | 9.24270e9 | + | 5.24180e10i | 0.00344448 | + | 0.0195346i | ||||
\(579\) | 5.53922e10 | + | 3.02378e10i | 0.0204831 | + | 0.0111814i | ||||
\(580\) | −9.25848e11 | + | 3.36981e11i | −0.339714 | + | 0.123646i | ||||
\(581\) | 9.63645e10 | − | 3.50738e10i | 0.0350852 | − | 0.0127700i | ||||
\(582\) | −2.15103e10 | − | 8.99117e11i | −0.00777129 | − | 0.324835i | ||||
\(583\) | −6.20517e11 | − | 3.51913e12i | −0.222457 | − | 1.26161i | ||||
\(584\) | 9.85506e11 | − | 1.70695e12i | 0.350592 | − | 0.607243i | ||||
\(585\) | 1.91043e12 | + | 2.97112e12i | 0.674417 | + | 1.04886i | ||||
\(586\) | 4.32311e10 | + | 7.48785e10i | 0.0151446 | + | 0.0262312i | ||||
\(587\) | −2.56726e12 | + | 2.15418e12i | −0.892478 | + | 0.748878i | −0.968706 | − | 0.248212i | \(-0.920157\pi\) |
0.0762274 | + | 0.997090i | \(0.475713\pi\) | |||||||
\(588\) | −1.70238e12 | + | 2.13028e12i | −0.587297 | + | 0.734918i | ||||
\(589\) | −2.55621e11 | + | 1.44970e12i | −0.0875140 | + | 0.496317i | ||||
\(590\) | 5.02982e11 | + | 4.22052e11i | 0.170891 | + | 0.143394i | ||||
\(591\) | 2.76281e12 | + | 3.13705e12i | 0.931552 | + | 1.05774i | ||||
\(592\) | 1.35433e12 | + | 4.92936e11i | 0.453187 | + | 0.164947i | ||||
\(593\) | 1.51807e11 | 0.0504135 | 0.0252067 | − | 0.999682i | \(-0.491976\pi\) | ||||
0.0252067 | + | 0.999682i | \(0.491976\pi\) | |||||||
\(594\) | −4.11075e11 | − | 9.18477e11i | −0.135482 | − | 0.302712i | ||||
\(595\) | 2.22023e11 | 0.0726225 | ||||||||
\(596\) | 2.28428e12 | + | 8.31412e11i | 0.741553 | + | 0.269903i | ||||
\(597\) | 9.89261e11 | − | 2.93453e12i | 0.318732 | − | 0.945482i | ||||
\(598\) | −6.45523e11 | − | 5.41658e11i | −0.206422 | − | 0.173209i | ||||
\(599\) | −9.76595e11 | + | 5.53854e12i | −0.309951 | + | 1.75782i | 0.289278 | + | 0.957245i | \(0.406585\pi\) |
−0.599230 | + | 0.800577i | \(0.704526\pi\) | |||||||
\(600\) | 1.51408e11 | + | 3.86935e11i | 0.0476946 | + | 0.121887i | ||||
\(601\) | 3.63412e12 | − | 3.04939e12i | 1.13622 | − | 0.953405i | 0.136915 | − | 0.990583i | \(-0.456281\pi\) |
0.999309 | + | 0.0371781i | \(0.0118369\pi\) | |||||||
\(602\) | 4.88800e10 | + | 8.46627e10i | 0.0151687 | + | 0.0262729i | ||||
\(603\) | 3.07032e12 | − | 2.83728e12i | 0.945706 | − | 0.873925i | ||||
\(604\) | −7.83110e11 | + | 1.35639e12i | −0.239418 | + | 0.414684i | ||||
\(605\) | 5.46131e11 | + | 3.09727e12i | 0.165729 | + | 0.939895i | ||||
\(606\) | 1.37149e11 | − | 8.36191e10i | 0.0413110 | − | 0.0251871i | ||||
\(607\) | −1.67977e12 | + | 6.11388e11i | −0.502229 | + | 0.182796i | −0.580696 | − | 0.814120i | \(-0.697220\pi\) |
0.0784673 | + | 0.996917i | \(0.474997\pi\) | |||||||
\(608\) | −9.94571e11 | + | 3.61994e11i | −0.295168 | + | 0.107432i | ||||
\(609\) | 1.19305e11 | − | 7.27394e10i | 0.0351463 | − | 0.0214285i | ||||
\(610\) | 5.20382e10 | + | 2.95123e11i | 0.0152173 | + | 0.0863017i | ||||
\(611\) | 2.17231e12 | − | 3.76255e12i | 0.630575 | − | 1.09219i | ||||
\(612\) | −2.30950e12 | + | 2.13421e12i | −0.665484 | + | 0.614972i | ||||
\(613\) | 8.97771e11 | + | 1.55498e12i | 0.256799 | + | 0.444789i | 0.965383 | − | 0.260838i | \(-0.0839988\pi\) |
−0.708584 | + | 0.705627i | \(0.750665\pi\) | |||||||
\(614\) | 1.00715e12 | − | 8.45097e11i | 0.285980 | − | 0.239966i | ||||
\(615\) | −1.15278e12 | − | 2.94602e12i | −0.324944 | − | 0.830419i | ||||
\(616\) | −3.63381e10 | + | 2.06084e11i | −0.0101683 | + | 0.0576674i | ||||
\(617\) | −4.09727e12 | − | 3.43802e12i | −1.13818 | − | 0.955048i | −0.138804 | − | 0.990320i | \(-0.544326\pi\) |
−0.999378 | + | 0.0352723i | \(0.988770\pi\) | |||||||
\(618\) | −1.37013e11 | + | 4.06434e11i | −0.0377846 | + | 0.112084i | ||||
\(619\) | 4.64841e11 | + | 1.69188e11i | 0.127261 | + | 0.0463193i | 0.404866 | − | 0.914376i | \(-0.367318\pi\) |
−0.277604 | + | 0.960695i | \(0.589540\pi\) | |||||||
\(620\) | −2.98040e12 | −0.810050 | ||||||||
\(621\) | −2.94640e12 | − | 3.03887e11i | −0.795022 | − | 0.0819974i | ||||
\(622\) | 3.63461e11 | 0.0973647 | ||||||||
\(623\) | 3.67955e11 | + | 1.33925e11i | 0.0978586 | + | 0.0356176i | ||||
\(624\) | 3.15597e12 | + | 3.58346e12i | 0.833300 | + | 0.946176i | ||||
\(625\) | −1.80065e12 | − | 1.51093e12i | −0.472031 | − | 0.396081i | ||||
\(626\) | −1.54122e10 | + | 8.74072e10i | −0.00401126 | + | 0.0227490i | ||||
\(627\) | 1.74883e12 | − | 2.18841e12i | 0.451901 | − | 0.565489i | ||||
\(628\) | −1.71862e12 | + | 1.44210e12i | −0.440923 | + | 0.369978i | ||||
\(629\) | −1.06605e12 | − | 1.84646e12i | −0.271551 | − | 0.470340i | ||||
\(630\) | 3.68774e10 | + | 5.73522e10i | 0.00932669 | + | 0.0145050i | ||||
\(631\) | −6.83547e11 | + | 1.18394e12i | −0.171647 | + | 0.297301i | −0.938996 | − | 0.343929i | \(-0.888242\pi\) |
0.767349 | + | 0.641230i | \(0.221575\pi\) | |||||||
\(632\) | −4.31682e10 | − | 2.44819e11i | −0.0107631 | − | 0.0610406i | ||||
\(633\) | 2.02227e10 | + | 8.45296e11i | 0.00500637 | + | 0.209263i | ||||
\(634\) | −1.13836e12 | + | 4.14329e11i | −0.279819 | + | 0.101846i | ||||
\(635\) | 4.88652e12 | − | 1.77855e12i | 1.19266 | − | 0.434094i | ||||
\(636\) | −3.01019e12 | − | 1.64322e12i | −0.729519 | − | 0.398234i | ||||
\(637\) | −1.06372e12 | − | 6.03264e12i | −0.255976 | − | 1.45171i | ||||
\(638\) | −3.15254e11 | + | 5.46036e11i | −0.0753299 | + | 0.130475i | ||||
\(639\) | −8.71675e11 | + | 6.84329e12i | −0.206824 | + | 1.62372i | ||||
\(640\) | −1.41404e12 | − | 2.44919e12i | −0.333159 | − | 0.577048i | ||||
\(641\) | 3.06971e12 | − | 2.57580e12i | 0.718186 | − | 0.602630i | −0.208697 | − | 0.977980i | \(-0.566922\pi\) |
0.926883 | + | 0.375351i | \(0.122478\pi\) | |||||||
\(642\) | −7.72997e11 | − | 1.17312e11i | −0.179585 | − | 0.0272544i | ||||
\(643\) | −1.68695e11 | + | 9.56716e11i | −0.0389182 | + | 0.220716i | −0.998064 | − | 0.0621965i | \(-0.980189\pi\) |
0.959146 | + | 0.282912i | \(0.0913006\pi\) | |||||||
\(644\) | 2.29703e11 | + | 1.92744e11i | 0.0526236 | + | 0.0441565i | ||||
\(645\) | 5.33615e12 | − | 1.07309e12i | 1.21397 | − | 0.244129i | ||||
\(646\) | 4.46252e11 | + | 1.62422e11i | 0.100817 | + | 0.0366944i | ||||
\(647\) | 2.07885e12 | 0.466395 | 0.233198 | − | 0.972429i | \(-0.425081\pi\) | ||||
0.233198 | + | 0.972429i | \(0.425081\pi\) | |||||||
\(648\) | −1.92052e12 | − | 4.97329e11i | −0.427890 | − | 0.110804i | ||||
\(649\) | −7.74569e12 | −1.71380 | ||||||||
\(650\) | −4.26962e11 | − | 1.55402e11i | −0.0938165 | − | 0.0341464i | ||||
\(651\) | 4.14384e11 | − | 8.33323e10i | 0.0904250 | − | 0.0181844i | ||||
\(652\) | −1.49912e12 | − | 1.25791e12i | −0.324880 | − | 0.272607i | ||||
\(653\) | 3.38608e11 | − | 1.92034e12i | 0.0728766 | − | 0.413304i | −0.926443 | − | 0.376434i | \(-0.877150\pi\) |
0.999320 | − | 0.0368699i | \(-0.0117387\pi\) | |||||||
\(654\) | 1.32746e12 | + | 2.01459e11i | 0.283741 | + | 0.0430613i | ||||
\(655\) | −1.93360e12 | + | 1.62248e12i | −0.410469 | + | 0.344425i | ||||
\(656\) | −2.13827e12 | − | 3.70359e12i | −0.450811 | − | 0.780827i | ||||
\(657\) | 6.02992e12 | + | 4.58676e12i | 1.26260 | + | 0.960421i | ||||
\(658\) | 4.19326e10 | − | 7.26294e10i | 0.00872038 | − | 0.0151041i | ||||
\(659\) | −1.07304e12 | − | 6.08551e12i | −0.221631 | − | 1.25693i | −0.869021 | − | 0.494775i | \(-0.835250\pi\) |
0.647390 | − | 0.762159i | \(-0.275861\pi\) | |||||||
\(660\) | 4.97828e12 | + | 2.71757e12i | 1.02125 | + | 0.557485i | ||||
\(661\) | 1.19594e12 | − | 4.35288e11i | 0.243671 | − | 0.0886891i | −0.217298 | − | 0.976105i | \(-0.569724\pi\) |
0.460969 | + | 0.887416i | \(0.347502\pi\) | |||||||
\(662\) | 1.14748e12 | − | 4.17648e11i | 0.232212 | − | 0.0845181i | ||||
\(663\) | −1.68949e11 | − | 7.06196e12i | −0.0339583 | − | 1.41943i | ||||
\(664\) | 1.58416e11 | + | 8.98422e11i | 0.0316259 | + | 0.179359i | ||||
\(665\) | −9.49099e10 | + | 1.64389e11i | −0.0188198 | + | 0.0325968i | ||||
\(666\) | 2.99903e11 | − | 5.82072e11i | 0.0590673 | − | 0.114642i | ||||
\(667\) | 9.27970e11 | + | 1.60729e12i | 0.181538 | + | 0.314433i | ||||
\(668\) | 3.82416e12 | − | 3.20885e12i | 0.743091 | − | 0.623527i | ||||
\(669\) | −5.48623e12 | + | 6.86522e12i | −1.05890 | + | 1.32506i | ||||
\(670\) | 2.21962e11 | − | 1.25881e12i | 0.0425541 | − | 0.241336i | ||||
\(671\) | −2.70812e12 | − | 2.27238e12i | −0.515724 | − | 0.432743i | ||||
\(672\) | 2.00857e11 | + | 2.28065e11i | 0.0379950 | + | 0.0431416i | ||||
\(673\) | 2.80815e11 | + | 1.02208e11i | 0.0527658 | + | 0.0192052i | 0.368268 | − | 0.929720i | \(-0.379951\pi\) |
−0.315502 | + | 0.948925i | \(0.602173\pi\) | |||||||
\(674\) | 2.11647e12 | 0.395041 | ||||||||
\(675\) | −1.54892e12 | + | 3.89389e11i | −0.287184 | + | 0.0721966i | ||||
\(676\) | −6.22711e12 | −1.14690 | ||||||||
\(677\) | −4.73930e12 | − | 1.72497e12i | −0.867093 | − | 0.315596i | −0.130103 | − | 0.991500i | \(-0.541531\pi\) |
−0.736989 | + | 0.675905i | \(0.763753\pi\) | |||||||
\(678\) | 3.28375e11 | − | 9.74085e11i | 0.0596810 | − | 0.177037i | ||||
\(679\) | −5.50720e11 | − | 4.62109e11i | −0.0994299 | − | 0.0834316i | ||||
\(680\) | −3.42977e11 | + | 1.94512e12i | −0.0615142 | + | 0.348864i | ||||
\(681\) | −7.53747e11 | − | 1.92626e12i | −0.134296 | − | 0.343204i | ||||
\(682\) | −1.46105e12 | + | 1.22597e12i | −0.258604 | + | 0.216995i | ||||
\(683\) | 1.13832e12 | + | 1.97163e12i | 0.200158 | + | 0.346683i | 0.948579 | − | 0.316540i | \(-0.102521\pi\) |
−0.748422 | + | 0.663223i | \(0.769188\pi\) | |||||||
\(684\) | −5.92934e11 | − | 2.62232e12i | −0.103575 | − | 0.458071i | ||||
\(685\) | 2.22713e12 | − | 3.85751e12i | 0.386490 | − | 0.669421i | ||||
\(686\) | −4.12364e10 | − | 2.33863e11i | −0.00710922 | − | 0.0403184i | ||||
\(687\) | −6.26305e11 | + | 3.81855e11i | −0.107271 | + | 0.0654024i | ||||
\(688\) | 6.91421e12 | − | 2.51656e12i | 1.17651 | − | 0.428213i | ||||
\(689\) | 7.23930e12 | − | 2.63489e12i | 1.22380 | − | 0.445426i | ||||
\(690\) | −7.73266e11 | + | 4.71457e11i | −0.129870 | + | 0.0791810i | ||||
\(691\) | 2.12817e11 | + | 1.20695e12i | 0.0355104 | + | 0.201389i | 0.997401 | − | 0.0720434i | \(-0.0229520\pi\) |
−0.961891 | + | 0.273433i | \(0.911841\pi\) | |||||||
\(692\) | 2.20504e12 | − | 3.81924e12i | 0.365543 | − | 0.633140i | ||||
\(693\) | −7.68145e11 | − | 2.38648e11i | −0.126515 | − | 0.0393060i | ||||
\(694\) | −2.87699e9 | − | 4.98310e9i | −0.000470783 | − | 0.000815421i | ||||
\(695\) | −5.60576e12 | + | 4.70379e12i | −0.911388 | + | 0.764745i | ||||
\(696\) | 4.52964e11 | + | 1.15758e12i | 0.0731681 | + | 0.186987i | ||||
\(697\) | −1.09858e12 | + | 6.23036e12i | −0.176313 | + | 0.999921i | ||||
\(698\) | −1.15066e12 | − | 9.65517e11i | −0.183484 | − | 0.153961i | ||||
\(699\) | −3.14280e12 | + | 9.32274e12i | −0.497931 | + | 1.47705i | ||||
\(700\) | 1.51931e11 | + | 5.52982e10i | 0.0239168 | + | 0.00870502i | ||||
\(701\) | 1.15369e12 | 0.180450 | 0.0902252 | − | 0.995921i | \(-0.471241\pi\) | ||||
0.0902252 | + | 0.995921i | \(0.471241\pi\) | |||||||
\(702\) | 1.79616e12 | − | 1.21662e12i | 0.279144 | − | 0.189076i | ||||
\(703\) | 1.82286e12 | 0.281484 | ||||||||
\(704\) | 6.30701e12 | + | 2.29556e12i | 0.967712 | + | 0.352218i | ||||
\(705\) | −3.08610e12 | − | 3.50413e12i | −0.470499 | − | 0.534231i | ||||
\(706\) | −1.86426e12 | − | 1.56430e12i | −0.282414 | − | 0.236973i | ||||
\(707\) | 2.22963e10 | − | 1.26449e11i | 0.00335619 | − | 0.0190339i | ||||
\(708\) | −4.64074e12 | + | 5.80721e12i | −0.694125 | + | 0.868597i | ||||
\(709\) | 4.61341e11 | − | 3.87111e11i | 0.0685669 | − | 0.0575344i | −0.607860 | − | 0.794044i | \(-0.707972\pi\) |
0.676427 | + | 0.736510i | \(0.263527\pi\) | |||||||
\(710\) | 1.05464e12 | + | 1.82669e12i | 0.155755 | + | 0.269775i | ||||
\(711\) | 9.54458e11 | − | 4.56947e10i | 0.140070 | − | 0.00670584i | ||||
\(712\) | −1.74172e12 | + | 3.01674e12i | −0.253990 | + | 0.439924i | ||||
\(713\) | 9.74889e11 | + | 5.52887e12i | 0.141271 | + | 0.801186i | ||||
\(714\) | −3.26127e9 | − | 1.36319e11i | −0.000469617 | − | 0.0196297i | ||||
\(715\) | −1.19724e13 | + | 4.35760e12i | −1.71319 | + | 0.623549i | ||||
\(716\) | 8.91906e12 | − | 3.24627e12i | 1.26827 | − | 0.461611i | ||||
\(717\) | 7.65194e12 | + | 4.17709e12i | 1.08127 | + | 0.590252i | ||||
\(718\) | 4.47860e11 | + | 2.53994e12i | 0.0628901 | + | 0.356668i | ||||
\(719\) | −6.43613e12 | + | 1.11477e13i | −0.898141 | + | 1.55563i | −0.0682726 | + | 0.997667i | \(0.521749\pi\) |
−0.829868 | + | 0.557959i | \(0.811585\pi\) | |||||||
\(720\) | 4.73303e12 | − | 1.98385e12i | 0.656362 | − | 0.275113i | ||||
\(721\) | 1.71423e11 | + | 2.96914e11i | 0.0236244 | + | 0.0409187i | ||||
\(722\) | 9.57760e11 | − | 8.03656e11i | 0.131172 | − | 0.110066i | ||||
\(723\) | 2.92423e12 | + | 4.43789e11i | 0.398005 | + | 0.0604024i | ||||
\(724\) | 2.19018e12 | − | 1.24211e13i | 0.296249 | − | 1.68011i | ||||
\(725\) | 7.66592e11 | + | 6.43247e11i | 0.103049 | + | 0.0864682i | ||||
\(726\) | 1.89365e12 | − | 3.80812e11i | 0.252980 | − | 0.0508740i | ||||
\(727\) | −1.65453e11 | − | 6.02198e10i | −0.0219669 | − | 0.00799530i | 0.331013 | − | 0.943626i | \(-0.392609\pi\) |
−0.352980 | + | 0.935631i | \(0.614832\pi\) | |||||||
\(728\) | −4.51148e11 | −0.0595289 | ||||||||
\(729\) | 2.82908e12 | − | 7.08139e12i | 0.370998 | − | 0.928634i | ||||
\(730\) | 2.31645e12 | 0.301905 | ||||||||
\(731\) | −1.02285e13 | − | 3.72287e12i | −1.32490 | − | 0.482225i | ||||
\(732\) | −3.32622e12 | + | 6.68901e11i | −0.428205 | + | 0.0861117i | ||||
\(733\) | 1.10709e13 | + | 9.28958e12i | 1.41649 | + | 1.18858i | 0.953187 | + | 0.302381i | \(0.0977814\pi\) |
0.463306 | + | 0.886198i | \(0.346663\pi\) | |||||||
\(734\) | −4.58101e11 | + | 2.59802e12i | −0.0582545 | + | 0.330378i | ||||
\(735\) | −6.50904e12 | − | 9.87831e11i | −0.822667 | − | 0.124850i | ||||
\(736\) | −3.09216e12 | + | 2.59463e12i | −0.388430 | + | 0.325931i | ||||
\(737\) | 7.53946e12 | + | 1.30587e13i | 0.941318 | + | 1.63041i | ||||
\(738\) | −1.79188e12 | + | 7.51064e11i | −0.222359 | + | 0.0932016i | ||||
\(739\) | −3.65737e11 | + | 6.33476e11i | −0.0451096 | + | 0.0781322i | −0.887699 | − | 0.460425i | \(-0.847697\pi\) |
0.842589 | + | 0.538557i | \(0.181030\pi\) | |||||||
\(740\) | 6.40872e11 | + | 3.63457e12i | 0.0785650 | + | 0.445564i | ||||
\(741\) | 5.30100e12 | + | 2.89374e12i | 0.645916 | + | 0.352597i | ||||
\(742\) | 1.39742e11 | − | 5.08619e10i | 0.0169242 | − | 0.00615991i | ||||
\(743\) | −3.62672e12 | + | 1.32002e12i | −0.436581 | + | 0.158902i | −0.550954 | − | 0.834535i | \(-0.685736\pi\) |
0.114374 | + | 0.993438i | \(0.463514\pi\) | |||||||
\(744\) | 8.99324e10 | + | 3.75911e12i | 0.0107606 | + | 0.449787i | ||||
\(745\) | 1.01911e12 | + | 5.77966e12i | 0.121204 | + | 0.687384i | ||||
\(746\) | −5.33538e11 | + | 9.24114e11i | −0.0630725 | + | 0.109245i | ||||
\(747\) | −3.50261e12 | + | 1.67688e11i | −0.411575 | + | 0.0197042i | ||||
\(748\) | −5.67120e12 | − | 9.82280e12i | −0.662396 | − | 1.14730i | ||||
\(749\) | −4.78755e11 | + | 4.01723e11i | −0.0555834 | + | 0.0466400i | ||||
\(750\) | −1.33434e12 | + | 1.66974e12i | −0.153990 | + | 0.192696i | ||||
\(751\) | −4.82128e11 | + | 2.73429e12i | −0.0553074 | + | 0.313664i | −0.999893 | − | 0.0146003i | \(-0.995352\pi\) |
0.944586 | + | 0.328264i | \(0.106464\pi\) | |||||||
\(752\) | −4.83538e12 | − | 4.05737e12i | −0.551380 | − | 0.462662i | ||||
\(753\) | −4.18299e12 | − | 4.74961e12i | −0.474143 | − | 0.538369i | ||||
\(754\) | −1.27733e12 | − | 4.64910e11i | −0.143924 | − | 0.0523839i | ||||
\(755\) | −3.78129e12 | −0.423524 | ||||||||
\(756\) | −6.39148e11 | + | 4.32922e11i | −0.0711629 | + | 0.0482016i | ||||
\(757\) | 1.43220e13 | 1.58516 | 0.792581 | − | 0.609767i | \(-0.208737\pi\) | ||||
0.792581 | + | 0.609767i | \(0.208737\pi\) | |||||||
\(758\) | 2.46916e12 | + | 8.98699e11i | 0.271667 | + | 0.0988787i | ||||
\(759\) | 3.41291e12 | − | 1.01240e13i | 0.373282 | − | 1.10730i | ||||
\(760\) | −1.29358e12 | − | 1.08544e12i | −0.140647 | − | 0.118017i | ||||
\(761\) | 1.37154e12 | − | 7.77841e12i | 0.148244 | − | 0.840736i | −0.816460 | − | 0.577402i | \(-0.804067\pi\) |
0.964705 | − | 0.263334i | \(-0.0848222\pi\) | |||||||
\(762\) | −1.16378e12 | − | 2.97413e12i | −0.125047 | − | 0.319567i | ||||
\(763\) | 8.22161e11 | − | 6.89875e11i | 0.0878206 | − | 0.0736902i | ||||
\(764\) | −3.37490e12 | − | 5.84549e12i | −0.358377 | − | 0.620727i | ||||
\(765\) | −7.25014e12 | − | 2.25248e12i | −0.765367 | − | 0.237785i | ||||
\(766\) | 9.14800e11 | − | 1.58448e12i | 0.0960056 | − | 0.166287i | ||||
\(767\) | −2.89973e12 | − | 1.64452e13i | −0.302537 | − | 1.71577i | ||||
\(768\) | 4.31518e12 | − | 2.63095e12i | 0.447583 | − | 0.272889i | ||||
\(769\) | 1.36410e13 | − | 4.96493e12i | 1.40663 | − | 0.511970i | 0.476489 | − | 0.879180i | \(-0.341909\pi\) |
0.930138 | + | 0.367210i | \(0.119687\pi\) | |||||||
\(770\) | −2.31106e11 | + | 8.41158e10i | −0.0236921 | + | 0.00862322i | ||||
\(771\) | 1.01156e13 | − | 6.16742e12i | 1.03097 | − | 0.628577i | ||||
\(772\) | 3.79347e10 | + | 2.15138e11i | 0.00384378 | + | 0.0217992i | ||||
\(773\) | −1.96630e12 | + | 3.40574e12i | −0.198081 | + | 0.343086i | −0.947906 | − | 0.318550i | \(-0.896804\pi\) |
0.749825 | + | 0.661636i | \(0.230138\pi\) | |||||||
\(774\) | −7.37247e11 | − | 3.26056e12i | −0.0738378 | − | 0.326556i | ||||
\(775\) | 1.51356e12 | + | 2.62157e12i | 0.150710 | + | 0.261038i | ||||
\(776\) | 4.89924e12 | − | 4.11095e12i | 0.485010 | − | 0.406972i | ||||
\(777\) | −1.90727e11 | − | 4.87418e11i | −0.0187724 | − | 0.0479742i | ||||
\(778\) | −3.51458e11 | + | 1.99322e12i | −0.0343927 | + | 0.195050i | ||||
\(779\) | −4.14343e12 | − | 3.47675e12i | −0.403126 | − | 0.338263i | ||||
\(780\) | −3.90609e12 | + | 1.15869e13i | −0.377847 | + | 1.12084i | ||||
\(781\) | −2.33820e13 | − | 8.51035e12i | −2.24881 | − | 0.818498i | ||||
\(782\) | 1.81114e12 | 0.173190 | ||||||||
\(783\) | −4.63385e12 | + | 1.16492e12i | −0.440569 | + | 0.110757i | ||||
\(784\) | −8.89982e12 | −0.841316 | ||||||||
\(785\) | −5.08978e12 | − | 1.85253e12i | −0.478394 | − | 0.174121i | ||||
\(786\) | 1.02458e12 | + | 1.16337e12i | 0.0957515 | + | 0.108722i | ||||
\(787\) | 1.19610e13 | + | 1.00364e13i | 1.11143 | + | 0.932596i | 0.998140 | − | 0.0609660i | \(-0.0194181\pi\) |
0.113285 | + | 0.993562i | \(0.463863\pi\) | |||||||
\(788\) | −2.51276e12 | + | 1.42506e13i | −0.232158 | + | 1.31663i | ||||
\(789\) | −5.33691e12 | + | 6.67837e12i | −0.490279 | + | 0.613514i | ||||
\(790\) | 2.23811e11 | − | 1.87800e11i | 0.0204437 | − | 0.0171543i | ||||
\(791\) | −4.10844e11 | − | 7.11602e11i | −0.0373149 | − | 0.0646313i | ||||
\(792\) | 3.27740e12 | − | 6.36099e12i | 0.295982 | − | 0.574462i | ||||
\(793\) | 3.81076e12 | − | 6.60043e12i | 0.342202 | − | 0.592711i | ||||
\(794\) | −1.15931e11 | − | 6.57475e11i | −0.0103516 | − | 0.0587066i | ||||
\(795\) | −1.98026e11 | − | 8.27736e12i | −0.0175821 | − | 0.734919i | ||||
\(796\) | 1.00735e13 | − | 3.66644e12i | 0.889345 | − | 0.323695i | ||||
\(797\) | 6.32997e12 | − | 2.30392e12i | 0.555698 | − | 0.202258i | −0.0488781 | − | 0.998805i | \(-0.515565\pi\) |
0.604576 | + | 0.796547i | \(0.293342\pi\) | |||||||
\(798\) | 1.02326e11 | + | 5.58586e10i | 0.00893253 | + | 0.00487615i | ||||
\(799\) | 1.62150e12 | + | 9.19599e12i | 0.140753 | + | 0.798248i | ||||
\(800\) | −1.08824e12 | + | 1.88489e12i | −0.0939333 | + | 0.162697i | ||||
\(801\) | −1.06569e13 | − | 8.10632e12i | −0.914709 | − | 0.695789i | ||||
\(802\) | −2.55584e12 | − | 4.42685e12i | −0.218147 | − | 0.377842i | ||||
\(803\) | −2.09334e13 | + | 1.75652e13i | −1.77672 | + | 1.49085i | ||||
\(804\) | 1.43078e13 | + | 2.17139e12i | 1.20759 | + | 0.183267i | ||||
\(805\) | −1.25710e11 | + | 7.12937e11i | −0.0105509 | + | 0.0598370i | ||||
\(806\) | −3.14987e12 | − | 2.64305e12i | −0.262896 | − | 0.220596i | ||||
\(807\) | 2.01089e12 | − | 4.04388e11i | 0.166900 | − | 0.0335635i | ||||
\(808\) | 1.07336e12 | + | 3.90673e11i | 0.0885923 | + | 0.0322450i | ||||
\(809\) | 8.17110e12 | 0.670675 | 0.335338 | − | 0.942098i | \(-0.391150\pi\) | ||||
0.335338 | + | 0.942098i | \(0.391150\pi\) | |||||||
\(810\) | −6.22374e11 | − | 2.24697e12i | −0.0508006 | − | 0.183406i | ||||
\(811\) | 2.07621e13 | 1.68530 | 0.842651 | − | 0.538460i | \(-0.180994\pi\) | ||||
0.842651 | + | 0.538460i | \(0.180994\pi\) | |||||||
\(812\) | 4.54526e11 | + | 1.65434e11i | 0.0366908 | + | 0.0133543i | ||||
\(813\) | −3.05822e12 | + | 6.15005e11i | −0.245505 | + | 0.0493709i | ||||
\(814\) | 1.80922e12 | + | 1.51812e12i | 0.144438 | + | 0.121198i | ||||
\(815\) | 8.20427e11 | − | 4.65287e12i | 0.0651375 | − | 0.369413i | ||||
\(816\) | −1.01468e13 | − | 1.53991e12i | −0.801170 | − | 0.121588i | ||||
\(817\) | 7.12893e12 | − | 5.98188e12i | 0.559790 | − | 0.469719i | ||||
\(818\) | −6.07001e11 | − | 1.05136e12i | −0.0474023 | − | 0.0821032i | ||||
\(819\) | 2.19116e11 | − | 1.72022e12i | 0.0170175 | − | 0.133600i | ||||
\(820\) | 5.47550e12 | − | 9.48385e12i | 0.422923 | − | 0.732525i | ||||
\(821\) | 3.56272e12 | + | 2.02052e13i | 0.273676 | + | 1.55210i | 0.743135 | + | 0.669142i | \(0.233338\pi\) |
−0.469458 | + | 0.882955i | \(0.655551\pi\) | |||||||
\(822\) | −2.40117e12 | − | 1.31076e12i | −0.183442 | − | 0.100139i | ||||
\(823\) | −1.30605e13 | + | 4.75362e12i | −0.992336 | + | 0.361181i | −0.786625 | − | 0.617432i | \(-0.788173\pi\) |
−0.205712 | + | 0.978613i | \(0.565951\pi\) | |||||||
\(824\) | −2.86605e12 | + | 1.04316e12i | −0.216576 | + | 0.0788274i | ||||
\(825\) | −1.37777e11 | − | 5.75900e12i | −0.0103546 | − | 0.432817i | ||||
\(826\) | −5.59742e10 | − | 3.17445e11i | −0.00418386 | − | 0.0237279i | ||||
\(827\) | −7.13700e12 | + | 1.23617e13i | −0.530568 | + | 0.918971i | 0.468796 | + | 0.883307i | \(0.344688\pi\) |
−0.999364 | + | 0.0356643i | \(0.988645\pi\) | |||||||
\(828\) | −5.54551e12 | − | 8.62445e12i | −0.410020 | − | 0.637668i | ||||
\(829\) | −3.70442e12 | − | 6.41625e12i | −0.272411 | − | 0.471830i | 0.697067 | − | 0.717006i | \(-0.254488\pi\) |
−0.969479 | + | 0.245175i | \(0.921154\pi\) | |||||||
\(830\) | −8.21329e11 | + | 6.89177e11i | −0.0600711 | + | 0.0504056i | ||||
\(831\) | 1.33441e13 | − | 1.66983e13i | 0.970702 | − | 1.21469i | ||||
\(832\) | −2.51267e12 | + | 1.42500e13i | −0.181794 | + | 1.03101i | ||||
\(833\) | 1.00857e13 | + | 8.46289e12i | 0.725776 | + | 0.608999i | ||||
\(834\) | 2.97040e12 | + | 3.37276e12i | 0.212603 | + | 0.241401i | ||||
\(835\) | 1.13254e13 | + | 4.12212e12i | 0.806242 | + | 0.293448i | ||||
\(836\) | 9.69725e12 | 0.686626 | ||||||||
\(837\) | −1.43771e13 | − | 1.48283e12i | −1.01253 | − | 0.104431i | ||||
\(838\) | 3.11181e12 | 0.217979 | ||||||||
\(839\) | −1.28307e13 | − | 4.67001e12i | −0.893970 | − | 0.325378i | −0.146136 | − | 0.989264i | \(-0.546684\pi\) |
−0.747834 | + | 0.663886i | \(0.768906\pi\) | |||||||
\(840\) | −1.54890e11 | + | 4.59464e11i | −0.0107341 | + | 0.0318416i | ||||
\(841\) | −8.81973e12 | − | 7.40063e12i | −0.607958 | − | 0.510137i | ||||
\(842\) | 8.20932e11 | − | 4.65573e12i | 0.0562863 | − | 0.319215i | ||||
\(843\) | 2.38219e12 | + | 6.08788e12i | 0.162462 | + | 0.415185i | ||||
\(844\) | −2.24217e12 | + | 1.88141e12i | −0.152100 | + | 0.127627i | ||||
\(845\) | −7.51697e12 | − | 1.30198e13i | −0.507210 | − | 0.878514i | ||||
\(846\) | −2.10615e12 | + | 1.94629e12i | −0.141359 | + | 0.130629i | ||||
\(847\) | 7.71998e11 | − | 1.33714e12i | 0.0515396 | − | 0.0892692i | ||||
\(848\) | −1.94360e12 | − | 1.10227e13i | −0.129070 | − | 0.731991i | ||||
\(849\) | 1.38078e13 | − | 8.41858e12i | 0.912097 | − | 0.556102i | ||||
\(850\) | 9.17666e11 | − | 3.34003e11i | 0.0602975 | − | 0.0219465i | ||||
\(851\) | 6.53277e12 | − | 2.37773e12i | 0.426987 | − | 0.155410i | ||||
\(852\) | −2.03895e13 | + | 1.24314e13i | −1.32565 | + | 0.808244i | ||||
\(853\) | −3.48320e12 | − | 1.97542e13i | −0.225272 | − | 1.27758i | −0.862164 | − | 0.506628i | \(-0.830892\pi\) |
0.636892 | − | 0.770953i | \(-0.280220\pi\) | |||||||
\(854\) | 7.35600e10 | − | 1.27410e11i | 0.00473240 | − | 0.00819675i | ||||
\(855\) | 4.76705e12 | − | 4.40522e12i | 0.305072 | − | 0.281916i | ||||
\(856\) | −2.77989e12 | − | 4.81491e12i | −0.176968 | − | 0.306518i | ||||
\(857\) | −1.19917e13 | + | 1.00623e13i | −0.759396 | + | 0.637209i | −0.937970 | − | 0.346718i | \(-0.887296\pi\) |
0.178574 | + | 0.983927i | \(0.442852\pi\) | |||||||
\(858\) | 2.85137e12 | + | 7.28689e12i | 0.179622 | + | 0.459039i | ||||
\(859\) | −1.80369e12 | + | 1.02293e13i | −0.113030 | + | 0.641025i | 0.874677 | + | 0.484707i | \(0.161074\pi\) |
−0.987707 | + | 0.156318i | \(0.950037\pi\) | |||||||
\(860\) | 1.44335e13 | + | 1.21112e13i | 0.899766 | + | 0.754993i | ||||
\(861\) | −4.96125e11 | + | 1.47170e12i | −0.0307664 | + | 0.0912649i | ||||
\(862\) | 5.41749e12 | + | 1.97180e12i | 0.334207 | + | 0.121641i | ||||
\(863\) | 1.57454e13 | 0.966288 | 0.483144 | − | 0.875541i | \(-0.339495\pi\) | ||||
0.483144 | + | 0.875541i | \(0.339495\pi\) | |||||||
\(864\) | −4.24520e12 | − | 9.48520e12i | −0.259171 | − | 0.579075i | ||||
\(865\) | 1.06471e13 | 0.646637 | ||||||||
\(866\) | −1.12849e12 | − | 4.10737e11i | −0.0681817 | − | 0.0248161i | ||||
\(867\) | −9.61559e11 | − | 1.09181e12i | −0.0577949 | − | 0.0656236i | ||||
\(868\) | 1.12085e12 | + | 9.40505e11i | 0.0670207 | + | 0.0562370i | ||||
\(869\) | −5.98495e11 | + | 3.39423e12i | −0.0356018 | + | 0.201908i | ||||
\(870\) | −9.12019e11 | + | 1.14126e12i | −0.0539718 | + | 0.0675379i | ||||
\(871\) | −2.49030e13 | + | 2.08961e13i | −1.46612 | + | 1.23022i | ||||
\(872\) | 4.77387e12 | + | 8.26859e12i | 0.279606 | + | 0.484292i | ||||
\(873\) | 1.32955e13 | + | 2.06774e13i | 0.774713 | + | 1.20484i | ||||
\(874\) | −7.74224e11 | + | 1.34100e12i | −0.0448813 | + | 0.0777367i | ||||
\(875\) | 2.96683e11 | + | 1.68258e12i | 0.0171103 | + | 0.0970372i | ||||
\(876\) | 6.27246e11 | + | 2.62185e13i | 0.0359890 | + | 1.50431i | ||||
\(877\) | 1.03678e13 | − | 3.77357e12i | 0.591818 | − | 0.215404i | −0.0287108 | − | 0.999588i | \(-0.509140\pi\) |
0.620529 | + | 0.784184i | \(0.286918\pi\) | |||||||
\(878\) | −5.75641e12 | + | 2.09516e12i | −0.326908 | + | 0.118985i | ||||
\(879\) | −2.07437e12 | − | 1.13237e12i | −0.117202 | − | 0.0639790i | ||||
\(880\) | 3.21434e12 | + | 1.82294e13i | 0.180684 | + | 1.02471i | ||||
\(881\) | −6.34675e12 | + | 1.09929e13i | −0.354944 | + | 0.614781i | −0.987108 | − | 0.160053i | \(-0.948833\pi\) |
0.632164 | + | 0.774834i | \(0.282167\pi\) | |||||||
\(882\) | −5.10904e11 | + | 4.01097e12i | −0.0284270 | + | 0.223172i | ||||
\(883\) | −6.78125e11 | − | 1.17455e12i | −0.0375394 | − | 0.0650201i | 0.846645 | − | 0.532158i | \(-0.178619\pi\) |
−0.884185 | + | 0.467138i | \(0.845285\pi\) | |||||||
\(884\) | 1.87321e13 | − | 1.57181e13i | 1.03169 | − | 0.865693i | ||||
\(885\) | −1.77439e13 | − | 2.69286e12i | −0.972307 | − | 0.147560i | ||||
\(886\) | 3.31623e11 | − | 1.88073e12i | 0.0180798 | − | 0.102536i | ||||
\(887\) | −1.03849e13 | − | 8.71394e12i | −0.563306 | − | 0.472670i | 0.316111 | − | 0.948722i | \(-0.397623\pi\) |
−0.879417 | + | 0.476052i | \(0.842067\pi\) | |||||||
\(888\) | 4.56486e12 | − | 9.17990e11i | 0.246360 | − | 0.0495427i | ||||
\(889\) | −2.39894e12 | − | 8.73142e11i | −0.128813 | − | 0.0468842i | ||||
\(890\) | −4.09394e12 | −0.218719 | ||||||||
\(891\) | 2.26626e13 | + | 1.55861e13i | 1.20465 | + | 0.828491i | ||||
\(892\) | −3.04211e13 | −1.60891 | ||||||||
\(893\) | −7.50199e12 | − | 2.73050e12i | −0.394771 | − | 0.143685i | ||||
\(894\) | 3.53366e12 | − | 7.10616e11i | 0.185015 | − | 0.0372063i | ||||
\(895\) | 1.75539e13 | + | 1.47295e13i | 0.914471 | + | 0.767332i | ||||
\(896\) | −2.41091e11 | + | 1.36729e12i | −0.0124967 | + | 0.0708722i | ||||
\(897\) | 2.27723e13 | + | 3.45600e12i | 1.17447 | + | 0.178241i | ||||
\(898\) | −4.67829e12 | + | 3.92555e12i | −0.240073 | + | 0.201445i | ||||
\(899\) | 4.52808e12 | + | 7.84287e12i | 0.231204 | + | 0.400458i | ||||
\(900\) | −4.40027e12 | − | 3.34714e12i | −0.223557 | − | 0.170052i | ||||
\(901\) | −8.27896e12 | + | 1.43396e13i | −0.418518 | + | 0.724894i | ||||
\(902\) | −1.21692e12 | − | 6.90147e12i | −0.0612112 | − | 0.347146i | ||||
\(903\) | −2.34542e12 | − | 1.28033e12i | −0.117388 | − | 0.0640807i | ||||
\(904\) | 6.86895e12 | − | 2.50009e12i | 0.342084 | − | 0.124508i | ||||
\(905\) | 2.86143e13 | − | 1.04147e13i | 1.41796 | − | 0.516095i | ||||
\(906\) | 5.55429e10 | + | 2.32165e12i | 0.00273874 | + | 0.114478i | ||||
\(907\) | −4.77134e11 | − | 2.70596e12i | −0.0234103 | − | 0.132766i | 0.970863 | − | 0.239636i | \(-0.0770282\pi\) |
−0.994273 | + | 0.106870i | \(0.965917\pi\) | |||||||
\(908\) | 3.58016e12 | − | 6.20102e12i | 0.174790 | − | 0.302745i | ||||
\(909\) | −2.01095e12 | + | 3.90298e12i | −0.0976929 | + | 0.189609i | ||||
\(910\) | −2.65108e11 | − | 4.59181e11i | −0.0128155 | − | 0.0221972i | ||||
\(911\) | 1.61221e13 | − | 1.35280e13i | 0.775512 | − | 0.650732i | −0.166602 | − | 0.986024i | \(-0.553280\pi\) |
0.942114 | + | 0.335292i | \(0.108835\pi\) | |||||||
\(912\) | 5.47772e12 | − | 6.85457e12i | 0.262194 | − | 0.328098i | ||||
\(913\) | 2.19632e12 | − | 1.24559e13i | 0.104611 | − | 0.593278i | ||||
\(914\) | 1.83434e12 | + | 1.53919e12i | 0.0869404 | + | 0.0729517i | ||||
\(915\) | −5.41376e12 | − | 6.14709e12i | −0.255331 | − | 0.289918i | ||||
\(916\) | −2.38610e12 | − | 8.68468e11i | −0.111985 | − | 0.0407590i | ||||
\(917\) | 1.23917e12 | 0.0578721 | ||||||||
\(918\) | −1.27650e12 | + | 4.48457e12i | −0.0593236 | + | 0.208415i | ||||
\(919\) | −2.55574e13 | −1.18194 | −0.590972 | − | 0.806692i | \(-0.701256\pi\) | ||||
−0.590972 | + | 0.806692i | \(0.701256\pi\) | |||||||
\(920\) | −6.05179e12 | − | 2.20267e12i | −0.278508 | − | 0.101369i | ||||
\(921\) | −1.14798e13 | + | 3.40534e13i | −0.525733 | + | 1.55952i | ||||
\(922\) | −1.79455e12 | − | 1.50581e12i | −0.0817836 | − | 0.0686246i | ||||
\(923\) | 9.31522e12 | − | 5.28292e13i | 0.422460 | − | 2.39589i | ||||
\(924\) | −1.01463e12 | − | 2.59297e12i | −0.0457915 | − | 0.117024i | ||||
\(925\) | 2.87152e12 | − | 2.40949e12i | 0.128966 | − | 0.108215i | ||||
\(926\) | −2.23400e12 | − | 3.86940e12i | −0.0998467 | − | 0.172940i | ||||
\(927\) | −2.58554e12 | − | 1.14348e13i | −0.114999 | − | 0.508594i | ||||
\(928\) | −3.25565e12 | + | 5.63896e12i | −0.144103 | + | 0.249593i | ||||
\(929\) | −6.29727e12 | − | 3.57136e13i | −0.277384 | − | 1.57312i | −0.731285 | − | 0.682072i | \(-0.761079\pi\) |
0.453901 | − | 0.891052i | \(-0.350032\pi\) | |||||||
\(930\) | −3.77320e12 | + | 2.30050e12i | −0.165400 | + | 0.100844i | ||||
\(931\) | −1.05775e13 | + | 3.84988e12i | −0.461432 | + | 0.167947i | ||||
\(932\) | −3.20026e13 | + | 1.16480e13i | −1.38935 | + | 0.505684i | ||||
\(933\) | −8.48240e12 | + | 5.17168e12i | −0.366481 | + | 0.223442i | ||||
\(934\) | −1.14540e12 | − | 6.49591e12i | −0.0492491 | − | 0.279305i | ||||
\(935\) | 1.36918e13 | − | 2.37149e13i | 0.585880 | − | 1.01477i | ||||
\(936\) | 1.47322e13 | + | 4.57703e12i | 0.627375 | + | 0.194914i | ||||
\(937\) | −2.55461e12 | − | 4.42471e12i | −0.108267 | − | 0.187524i | 0.806801 | − | 0.590823i | \(-0.201197\pi\) |
−0.915068 | + | 0.403299i | \(0.867863\pi\) | |||||||
\(938\) | −4.80708e11 | + | 4.03362e11i | −0.0202753 | + | 0.0170130i | ||||
\(939\) | −8.84026e11 | − | 2.25919e12i | −0.0371082 | − | 0.0948328i | ||||
\(940\) | 2.80679e12 | − | 1.59181e13i | 0.117256 | − | 0.664990i | ||||
\(941\) | −3.82223e12 | − | 3.20723e12i | −0.158914 | − | 0.133345i | 0.559863 | − | 0.828585i | \(-0.310854\pi\) |
−0.718778 | + | 0.695240i | \(0.755298\pi\) | |||||||
\(942\) | −1.06266e12 | + | 3.15227e12i | −0.0439710 | + | 0.130435i | ||||
\(943\) | −1.93843e13 | − | 7.05531e12i | −0.798266 | − | 0.290545i | ||||
\(944\) | −2.42612e13 | −0.994348 | ||||||||
\(945\) | −1.67670e12 | − | 8.13750e11i | −0.0683931 | − | 0.0331931i | ||||
\(946\) | 1.20574e13 | 0.489491 | ||||||||
\(947\) | 2.70313e13 | + | 9.83859e12i | 1.09217 | + | 0.397519i | 0.824426 | − | 0.565970i | \(-0.191498\pi\) |
0.267749 | + | 0.963489i | \(0.413720\pi\) | |||||||
\(948\) | 2.18619e12 | + | 2.48233e12i | 0.0879125 | + | 0.0998209i | ||||
\(949\) | −4.51301e13 | − | 3.78687e13i | −1.80621 | − | 1.51559i | ||||
\(950\) | −1.44982e11 | + | 8.22232e11i | −0.00577506 | + | 0.0327520i | ||||
\(951\) | 2.06714e13 | − | 2.58672e13i | 0.819515 | − | 1.02550i | ||||
\(952\) | 7.42794e11 | − | 6.23278e11i | 0.0293091 | − | 0.0245932i | ||||
\(953\) | 2.07896e13 | + | 3.60087e13i | 0.816448 | + | 1.41413i | 0.908284 | + | 0.418355i | \(0.137393\pi\) |
−0.0918357 | + | 0.995774i | \(0.529273\pi\) | |||||||
\(954\) | −5.07927e12 | + | 2.43170e11i | −0.198533 | + | 0.00950480i | ||||
\(955\) | 8.14792e12 | − | 1.41126e13i | 0.316980 | − | 0.549025i | ||||
\(956\) | 5.24034e12 | + | 2.97195e13i | 0.202908 | + | 1.15075i | ||||
\(957\) | −4.12184e11 | − | 1.72290e13i | −0.0158850 | − | 0.663983i | ||||
\(958\) | −5.97720e12 | + | 2.17552e12i | −0.229273 | + | 0.0834486i | ||||
\(959\) | −2.05485e12 | + | 7.47906e11i | −0.0784508 | + | 0.0285537i | ||||
\(960\) | 1.36500e13 | + | 7.45137e12i | 0.518697 | + | 0.283149i | ||||
\(961\) | 1.65832e11 | + | 9.40478e11i | 0.00627209 | + | 0.0355708i | ||||
\(962\) | −2.54586e12 | + | 4.40956e12i | −0.0958401 | + | 0.166000i | ||||
\(963\) | 1.97093e13 | − | 8.26114e12i | 0.738505 | − | 0.309543i | ||||
\(964\) | 5.11926e12 | + | 8.86683e12i | 0.190924 | + | 0.330690i | ||||
\(965\) | −4.04024e11 | + | 3.39016e11i | −0.0149980 | + | 0.0125848i | ||||
\(966\) | 4.39580e11 | + | 6.67119e10i | 0.0162420 | + | 0.00246494i | ||||
\(967\) | 3.55453e12 | − | 2.01588e13i | 0.130726 | − | 0.741386i | −0.847014 | − | 0.531570i | \(-0.821602\pi\) |
0.977741 | − | 0.209816i | \(-0.0672866\pi\) | |||||||
\(968\) | 1.05220e13 | + | 8.82900e12i | 0.385176 | + | 0.323201i | ||||
\(969\) | −1.27257e13 | + | 2.55912e12i | −0.463685 | + | 0.0932467i | ||||
\(970\) | 7.06309e12 | + | 2.57075e12i | 0.256166 | + | 0.0932369i | ||||
\(971\) | −2.70481e13 | −0.976451 | −0.488225 | − | 0.872718i | \(-0.662356\pi\) | ||||
−0.488225 | + | 0.872718i | \(0.662356\pi\) | |||||||
\(972\) | 2.52635e13 | − | 7.65269e12i | 0.907809 | − | 0.274989i | ||||
\(973\) | 3.59253e12 | 0.128497 | ||||||||
\(974\) | 6.39147e12 | + | 2.32630e12i | 0.227554 | + | 0.0828230i | ||||
\(975\) | 1.21756e13 | − | 2.44850e12i | 0.431488 | − | 0.0867719i | ||||
\(976\) | −8.48244e12 | − | 7.11761e12i | −0.299224 | − | 0.251079i | ||||
\(977\) | −8.79943e11 | + | 4.99040e12i | −0.0308979 | + | 0.175231i | −0.996352 | − | 0.0853443i | \(-0.972801\pi\) |
0.965454 | + | 0.260575i | \(0.0839121\pi\) | |||||||
\(978\) | −2.86885e12 | − | 4.35385e11i | −0.100273 | − | 0.0152177i | ||||
\(979\) | 3.69962e13 | − | 3.10435e13i | 1.28717 | − | 1.08006i | ||||
\(980\) | −1.13950e13 | − | 1.97367e13i | −0.394636 | − | 0.683529i | ||||
\(981\) | −3.38466e13 | + | 1.41868e13i | −1.16682 | + | 0.489072i | ||||
\(982\) | −5.17858e12 | + | 8.96957e12i | −0.177709 | + | 0.307801i | ||||
\(983\) | 1.60186e12 | + | 9.08461e12i | 0.0547185 | + | 0.310324i | 0.999867 | − | 0.0163173i | \(-0.00519418\pi\) |
−0.945148 | + | 0.326641i | \(0.894083\pi\) | |||||||
\(984\) | −1.21270e13 | − | 6.61996e12i | −0.412359 | − | 0.225101i | ||||
\(985\) | −3.28287e13 | + | 1.19487e13i | −1.11119 | + | 0.404442i | ||||
\(986\) | 2.74535e12 | − | 9.99227e11i | 0.0925022 | − | 0.0336681i | ||||
\(987\) | 5.48255e10 | + | 2.29167e12i | 0.00183889 | + | 0.0768644i | ||||
\(988\) | 3.63033e12 | + | 2.05886e13i | 0.121210 | + | 0.687418i | ||||
\(989\) | 1.77459e13 | − | 3.07369e13i | 0.589815 | − | 1.02159i | ||||
\(990\) | 8.40015e12 | − | 4.02158e11i | 0.277926 | − | 0.0133057i | ||||
\(991\) | 2.01024e13 | + | 3.48184e13i | 0.662090 | + | 1.14677i | 0.980065 | + | 0.198675i | \(0.0636638\pi\) |
−0.317975 | + | 0.948099i | \(0.603003\pi\) | |||||||
\(992\) | −1.50884e13 | + | 1.26607e13i | −0.494698 | + | 0.415101i | ||||
\(993\) | −2.08370e13 | + | 2.60745e13i | −0.680085 | + | 0.851028i | ||||
\(994\) | 1.79814e11 | − | 1.01977e12i | 0.00584231 | − | 0.0331334i | ||||
\(995\) | 1.98259e13 | + | 1.66359e13i | 0.641254 | + | 0.538076i | ||||
\(996\) | −8.02275e12 | − | 9.10949e12i | −0.258319 | − | 0.293310i | ||||
\(997\) | −1.53940e13 | − | 5.60295e12i | −0.493427 | − | 0.179593i | 0.0833084 | − | 0.996524i | \(-0.473451\pi\) |
−0.576735 | + | 0.816931i | \(0.695674\pi\) | |||||||
\(998\) | −2.63691e12 | −0.0841410 | ||||||||
\(999\) | 1.28320e12 | + | 1.78516e13i | 0.0407613 | + | 0.567065i |
(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 | 27.10.e.a.4.15 | ✓ | 156 | |
3.2 | odd | 2 | 81.10.e.a.64.12 | 156 | |||
27.7 | even | 9 | inner | 27.10.e.a.7.15 | yes | 156 | |
27.20 | odd | 18 | 81.10.e.a.19.12 | 156 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
27.10.e.a.4.15 | ✓ | 156 | 1.1 | even | 1 | trivial | |
27.10.e.a.7.15 | yes | 156 | 27.7 | even | 9 | inner | |
81.10.e.a.19.12 | 156 | 27.20 | odd | 18 | |||
81.10.e.a.64.12 | 156 | 3.2 | odd | 2 |