Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [43,10,Mod(9,43)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(43, base_ring=CyclotomicField(42))
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("43.9");
S:= CuspForms(chi, 10);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 43 \) |
Weight: | \( k \) | \(=\) | \( 10 \) |
Character orbit: | \([\chi]\) | \(=\) | 43.g (of order \(21\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(22.1465409550\) |
Analytic rank: | \(0\) |
Dimension: | \(384\) |
Relative dimension: | \(32\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 24.1 | ||
Character | \(\chi\) | \(=\) | 43.24 |
Dual form | 43.10.g.a.9.1 |
$q$-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 \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{20}{21}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −27.2199 | + | 34.1327i | −1.20296 | + | 1.50847i | −0.395585 | + | 0.918429i | \(0.629458\pi\) |
−0.807376 | + | 0.590037i | \(0.799113\pi\) | |||||||
\(3\) | −145.141 | + | 21.8765i | −1.03453 | + | 0.155931i | −0.644290 | − | 0.764781i | \(-0.722847\pi\) |
−0.390243 | + | 0.920712i | \(0.627609\pi\) | |||||||
\(4\) | −310.186 | − | 1359.01i | −0.605833 | − | 2.65433i | ||||
\(5\) | −589.424 | + | 401.863i | −0.421758 | + | 0.287550i | −0.755542 | − | 0.655100i | \(-0.772627\pi\) |
0.333785 | + | 0.942649i | \(0.391674\pi\) | |||||||
\(6\) | 3204.02 | − | 5549.53i | 1.00929 | − | 1.74814i | ||||
\(7\) | 4835.78 | + | 8375.81i | 0.761246 | + | 1.31852i | 0.942209 | + | 0.335027i | \(0.108745\pi\) |
−0.180962 | + | 0.983490i | \(0.557921\pi\) | |||||||
\(8\) | 34691.1 | + | 16706.4i | 2.99442 | + | 1.44204i | ||||
\(9\) | 1778.80 | − | 548.686i | 0.0903722 | − | 0.0278761i | ||||
\(10\) | 2327.42 | − | 31057.3i | 0.0735996 | − | 0.982119i | ||||
\(11\) | −5251.26 | + | 23007.3i | −0.108142 | + | 0.473803i | 0.891636 | + | 0.452753i | \(0.149558\pi\) |
−0.999778 | + | 0.0210501i | \(0.993299\pi\) | |||||||
\(12\) | 74751.2 | + | 190463.i | 1.04065 | + | 2.65152i | ||||
\(13\) | 5177.58 | + | 69090.0i | 0.0502784 | + | 0.670919i | 0.964225 | + | 0.265085i | \(0.0853999\pi\) |
−0.913947 | + | 0.405834i | \(0.866981\pi\) | |||||||
\(14\) | −417518. | − | 62930.8i | −2.90469 | − | 0.437811i | ||||
\(15\) | 76758.3 | − | 71221.3i | 0.391485 | − | 0.363245i | ||||
\(16\) | −871492. | + | 419688.i | −3.32448 | + | 1.60098i | ||||
\(17\) | 460200. | + | 313759.i | 1.33637 | + | 0.911121i | 0.999536 | − | 0.0304436i | \(-0.00969199\pi\) |
0.336833 | + | 0.941565i | \(0.390644\pi\) | |||||||
\(18\) | −29690.5 | + | 75650.3i | −0.0666641 | + | 0.169857i | ||||
\(19\) | 500379. | + | 154347.i | 0.880862 | + | 0.271710i | 0.702011 | − | 0.712166i | \(-0.252286\pi\) |
0.178851 | + | 0.983876i | \(0.442762\pi\) | |||||||
\(20\) | 728969. | + | 676384.i | 1.01876 | + | 0.945276i | ||||
\(21\) | −885103. | − | 1.10988e6i | −0.993132 | − | 1.24535i | ||||
\(22\) | −642361. | − | 805495.i | −0.584625 | − | 0.733096i | ||||
\(23\) | 1.51715e6 | + | 1.40771e6i | 1.13046 | + | 1.04891i | 0.998335 | + | 0.0576760i | \(0.0183690\pi\) |
0.132120 | + | 0.991234i | \(0.457821\pi\) | |||||||
\(24\) | −5.40058e6 | − | 1.66586e6i | −3.32269 | − | 1.02491i | ||||
\(25\) | −527629. | + | 1.34438e6i | −0.270146 | + | 0.688321i | ||||
\(26\) | −2.49916e6 | − | 1.70390e6i | −1.07254 | − | 0.731246i | ||||
\(27\) | 2.35680e6 | − | 1.13497e6i | 0.853464 | − | 0.411007i | ||||
\(28\) | 9.88286e6 | − | 9.16995e6i | 3.03859 | − | 2.81940i | ||||
\(29\) | 1.08667e6 | + | 163789.i | 0.285303 | + | 0.0430025i | 0.290135 | − | 0.956986i | \(-0.406300\pi\) |
−0.00483158 | + | 0.999988i | \(0.501538\pi\) | |||||||
\(30\) | 341620. | + | 4.55861e6i | 0.0770013 | + | 1.02751i | ||||
\(31\) | 760804. | + | 1.93850e6i | 0.147960 | + | 0.376997i | 0.985569 | − | 0.169274i | \(-0.0541423\pi\) |
−0.837609 | + | 0.546271i | \(0.816047\pi\) | |||||||
\(32\) | 5.01002e6 | − | 2.19504e7i | 0.844627 | − | 3.70055i | ||||
\(33\) | 258855. | − | 3.45418e6i | 0.0379965 | − | 0.507028i | ||||
\(34\) | −2.32360e7 | + | 7.16737e6i | −2.98200 | + | 0.919824i | ||||
\(35\) | −6.21625e6 | − | 2.99359e6i | −0.700201 | − | 0.337199i | ||||
\(36\) | −1.29743e6 | − | 2.24721e6i | −0.128743 | − | 0.222989i | ||||
\(37\) | −1.19716e6 | + | 2.07354e6i | −0.105013 | + | 0.181888i | −0.913744 | − | 0.406291i | \(-0.866822\pi\) |
0.808730 | + | 0.588180i | \(0.200155\pi\) | |||||||
\(38\) | −1.88885e7 | + | 1.28780e7i | −1.46951 | + | 1.00189i | ||||
\(39\) | −2.26293e6 | − | 9.91452e6i | −0.156632 | − | 0.686248i | ||||
\(40\) | −2.71615e7 | + | 4.09393e6i | −1.67758 | + | 0.252854i | ||||
\(41\) | 1.25364e7 | − | 1.57202e7i | 0.692862 | − | 0.868821i | −0.303606 | − | 0.952798i | \(-0.598191\pi\) |
0.996468 | + | 0.0839763i | \(0.0267620\pi\) | |||||||
\(42\) | 6.19758e7 | 3.07327 | ||||||||
\(43\) | −1.68483e7 | − | 1.47894e7i | −0.751533 | − | 0.659696i | ||||
\(44\) | 3.28961e7 | 1.32314 | ||||||||
\(45\) | −827969. | + | 1.03824e6i | −0.0300994 | + | 0.0377435i | ||||
\(46\) | −8.93457e7 | + | 1.34667e7i | −2.94214 | + | 0.443456i | ||||
\(47\) | 1.23858e7 | + | 5.42656e7i | 0.370240 | + | 1.62213i | 0.726102 | + | 0.687587i | \(0.241330\pi\) |
−0.355862 | + | 0.934538i | \(0.615813\pi\) | |||||||
\(48\) | 1.17308e8 | − | 7.99792e7i | 3.18964 | − | 2.17466i | ||||
\(49\) | −2.65927e7 | + | 4.60599e7i | −0.658991 | + | 1.14141i | ||||
\(50\) | −3.15252e7 | − | 5.46032e7i | −0.713334 | − | 1.23553i | ||||
\(51\) | −7.36578e7 | − | 3.54717e7i | −1.52459 | − | 0.734204i | ||||
\(52\) | 9.22883e7 | − | 2.84672e7i | 1.75038 | − | 0.539920i | ||||
\(53\) | 3.79474e6 | − | 5.06373e7i | 0.0660603 | − | 0.881514i | −0.861480 | − | 0.507791i | \(-0.830462\pi\) |
0.927540 | − | 0.373723i | \(-0.121919\pi\) | |||||||
\(54\) | −2.54121e7 | + | 1.11338e8i | −0.406695 | + | 1.78185i | ||||
\(55\) | −6.15054e6 | − | 1.56713e7i | −0.0906320 | − | 0.230927i | ||||
\(56\) | 2.78292e7 | + | 3.71354e8i | 0.378141 | + | 5.04595i | ||||
\(57\) | −7.60021e7 | − | 1.14555e7i | −0.953649 | − | 0.143740i | ||||
\(58\) | −3.51696e7 | + | 3.26326e7i | −0.408077 | + | 0.378640i | ||||
\(59\) | 3.20470e7 | − | 1.54330e7i | 0.344313 | − | 0.165813i | −0.253733 | − | 0.967274i | \(-0.581658\pi\) |
0.598046 | + | 0.801462i | \(0.295944\pi\) | |||||||
\(60\) | −1.20600e8 | − | 8.22238e7i | −1.20134 | − | 0.819062i | ||||
\(61\) | −5.84173e7 | + | 1.48845e8i | −0.540203 | + | 1.37641i | 0.356713 | + | 0.934214i | \(0.383897\pi\) |
−0.896916 | + | 0.442201i | \(0.854198\pi\) | |||||||
\(62\) | −8.68751e7 | − | 2.67974e7i | −0.746677 | − | 0.230319i | ||||
\(63\) | 1.31975e7 | + | 1.22455e7i | 0.105551 | + | 0.0979367i | ||||
\(64\) | 3.04070e8 | + | 3.81291e8i | 2.26549 | + | 2.84084i | ||||
\(65\) | −3.08165e7 | − | 3.86427e7i | −0.214128 | − | 0.268508i | ||||
\(66\) | 1.10854e8 | + | 1.02858e8i | 0.719126 | + | 0.667252i | ||||
\(67\) | 9.23397e7 | + | 2.84830e7i | 0.559824 | + | 0.172683i | 0.561738 | − | 0.827315i | \(-0.310133\pi\) |
−0.00191359 | + | 0.999998i | \(0.500609\pi\) | |||||||
\(68\) | 2.83655e8 | − | 7.22742e8i | 1.60880 | − | 4.09915i | ||||
\(69\) | −2.50997e8 | − | 1.71127e8i | −1.33305 | − | 0.908859i | ||||
\(70\) | 2.71385e8 | − | 1.30692e8i | 1.35097 | − | 0.650592i | ||||
\(71\) | 1.48839e8 | − | 1.38102e8i | 0.695110 | − | 0.644968i | −0.251310 | − | 0.967907i | \(-0.580861\pi\) |
0.946420 | + | 0.322939i | \(0.104671\pi\) | |||||||
\(72\) | 7.08749e7 | + | 1.06827e7i | 0.310811 | + | 0.0468472i | ||||
\(73\) | 2.06199e7 | + | 2.75154e8i | 0.0849834 | + | 1.13402i | 0.862804 | + | 0.505539i | \(0.168706\pi\) |
−0.777821 | + | 0.628486i | \(0.783675\pi\) | |||||||
\(74\) | −3.81889e7 | − | 9.73038e7i | −0.148045 | − | 0.377213i | ||||
\(75\) | 4.71704e7 | − | 2.06667e8i | 0.172145 | − | 0.754215i | ||||
\(76\) | 5.45485e7 | − | 7.27899e8i | 0.187552 | − | 2.50271i | ||||
\(77\) | −2.18098e8 | + | 6.72745e7i | −0.707041 | + | 0.218093i | ||||
\(78\) | 4.00006e8 | + | 1.92633e8i | 1.22360 | + | 0.589257i | ||||
\(79\) | −2.03311e6 | − | 3.52146e6i | −0.00587273 | − | 0.0101719i | 0.863074 | − | 0.505077i | \(-0.168536\pi\) |
−0.868947 | + | 0.494905i | \(0.835203\pi\) | |||||||
\(80\) | 3.45021e8 | − | 5.97595e8i | 0.941762 | − | 1.63118i | ||||
\(81\) | −3.47512e8 | + | 2.36930e8i | −0.896989 | + | 0.611557i | ||||
\(82\) | 1.95332e8 | + | 8.55805e8i | 0.477101 | + | 2.09032i | ||||
\(83\) | −2.64609e8 | + | 3.98835e7i | −0.612003 | + | 0.0922447i | −0.447728 | − | 0.894170i | \(-0.647767\pi\) |
−0.164275 | + | 0.986414i | \(0.552529\pi\) | |||||||
\(84\) | −1.23380e9 | + | 1.54714e9i | −2.70389 | + | 3.39057i | ||||
\(85\) | −3.97341e8 | −0.825617 | ||||||||
\(86\) | 9.63413e8 | − | 1.72510e8i | 1.89919 | − | 0.340073i | ||||
\(87\) | −1.61304e8 | −0.301861 | ||||||||
\(88\) | −5.66540e8 | + | 7.10418e8i | −1.00707 | + | 1.26282i | ||||
\(89\) | −1.26707e8 | + | 1.90980e7i | −0.214065 | + | 0.0322651i | −0.255199 | − | 0.966888i | \(-0.582141\pi\) |
0.0411339 | + | 0.999154i | \(0.486903\pi\) | |||||||
\(90\) | −1.29007e7 | − | 5.65216e7i | −0.0207263 | − | 0.0908079i | ||||
\(91\) | −5.53647e8 | + | 3.77470e8i | −0.846344 | + | 0.577027i | ||||
\(92\) | 1.44250e9 | − | 2.49848e9i | 2.09928 | − | 3.63606i | ||||
\(93\) | −1.52831e8 | − | 2.64712e8i | −0.211855 | − | 0.366944i | ||||
\(94\) | −2.18937e9 | − | 1.05435e9i | −2.89231 | − | 1.39286i | ||||
\(95\) | −3.56962e8 | + | 1.10108e8i | −0.449641 | + | 0.138696i | ||||
\(96\) | −2.46963e8 | + | 3.29550e9i | −0.296765 | + | 3.96005i | ||||
\(97\) | −2.88567e8 | + | 1.26429e9i | −0.330959 | + | 1.45002i | 0.486320 | + | 0.873781i | \(0.338339\pi\) |
−0.817278 | + | 0.576243i | \(0.804518\pi\) | |||||||
\(98\) | −8.48297e8 | − | 2.16143e9i | −0.929032 | − | 2.36713i | ||||
\(99\) | 3.28284e6 | + | 4.38065e7i | 0.00343472 | + | 0.0458332i | ||||
\(100\) | 1.99069e9 | + | 3.00049e8i | 1.99069 | + | 0.300049i | ||||
\(101\) | 3.81611e8 | − | 3.54083e8i | 0.364900 | − | 0.338578i | −0.476319 | − | 0.879273i | \(-0.658029\pi\) |
0.841219 | + | 0.540695i | \(0.181839\pi\) | |||||||
\(102\) | 3.21571e9 | − | 1.54860e9i | 2.94155 | − | 1.41657i | ||||
\(103\) | −4.90808e8 | − | 3.34627e8i | −0.429679 | − | 0.292950i | 0.329104 | − | 0.944294i | \(-0.393253\pi\) |
−0.758783 | + | 0.651344i | \(0.774206\pi\) | |||||||
\(104\) | −9.74626e8 | + | 2.48331e9i | −0.816936 | + | 2.08152i | ||||
\(105\) | 9.67722e8 | + | 2.98503e8i | 0.776961 | + | 0.239661i | ||||
\(106\) | 1.62510e9 | + | 1.50787e9i | 1.25027 | + | 1.16008i | ||||
\(107\) | 1.15461e9 | + | 1.44784e9i | 0.851549 | + | 1.06781i | 0.996920 | + | 0.0784310i | \(0.0249910\pi\) |
−0.145371 | + | 0.989377i | \(0.546438\pi\) | |||||||
\(108\) | −2.27349e9 | − | 2.85087e9i | −1.60800 | − | 2.01637i | ||||
\(109\) | −6.63140e8 | − | 6.15304e8i | −0.449972 | − | 0.417513i | 0.422359 | − | 0.906429i | \(-0.361202\pi\) |
−0.872331 | + | 0.488915i | \(0.837393\pi\) | |||||||
\(110\) | 7.02322e8 | + | 2.16638e8i | 0.457372 | + | 0.141080i | ||||
\(111\) | 1.28395e8 | − | 3.27145e8i | 0.0802777 | − | 0.204544i | ||||
\(112\) | −7.72957e9 | − | 5.26993e9i | −4.64167 | − | 3.16464i | ||||
\(113\) | 1.49401e9 | − | 7.19478e8i | 0.861987 | − | 0.415111i | 0.0499743 | − | 0.998751i | \(-0.484086\pi\) |
0.812013 | + | 0.583639i | \(0.198372\pi\) | |||||||
\(114\) | 2.45978e9 | − | 2.28234e9i | 1.36403 | − | 1.26563i | ||||
\(115\) | −1.45995e9 | − | 2.20052e8i | −0.778392 | − | 0.117324i | ||||
\(116\) | −1.14478e8 | − | 1.52761e9i | −0.0587032 | − | 0.783340i | ||||
\(117\) | 4.71185e7 | + | 1.20056e8i | 0.0232464 | + | 0.0592308i | ||||
\(118\) | −3.45546e8 | + | 1.51394e9i | −0.164073 | + | 0.718851i | ||||
\(119\) | −4.02562e8 | + | 5.37182e9i | −0.184023 | + | 2.45561i | ||||
\(120\) | 3.85268e9 | − | 1.18839e9i | 1.69608 | − | 0.523173i | ||||
\(121\) | 1.62268e9 | + | 7.81441e8i | 0.688174 | + | 0.331407i | ||||
\(122\) | −3.49036e9 | − | 6.04548e9i | −1.42643 | − | 2.47065i | ||||
\(123\) | −1.47565e9 | + | 2.55590e9i | −0.581313 | + | 1.00686i | ||||
\(124\) | 2.39845e9 | − | 1.63524e9i | 0.911033 | − | 0.621131i | ||||
\(125\) | −5.39302e8 | − | 2.36284e9i | −0.197577 | − | 0.865642i | ||||
\(126\) | −7.77209e8 | + | 1.17145e8i | −0.274707 | + | 0.0414055i | ||||
\(127\) | 3.39392e9 | − | 4.25584e9i | 1.15767 | − | 1.45167i | 0.288279 | − | 0.957546i | \(-0.406917\pi\) |
0.869390 | − | 0.494126i | \(-0.164512\pi\) | |||||||
\(128\) | −9.76364e9 | −3.21490 | ||||||||
\(129\) | 2.76892e9 | + | 1.77797e9i | 0.880353 | + | 0.565290i | ||||
\(130\) | 2.15780e9 | 0.662622 | ||||||||
\(131\) | 3.53093e9 | − | 4.42765e9i | 1.04754 | − | 1.31357i | 0.0996267 | − | 0.995025i | \(-0.468235\pi\) |
0.947909 | − | 0.318543i | \(-0.103193\pi\) | |||||||
\(132\) | −4.77457e9 | + | 7.19651e8i | −1.36884 | + | 0.206319i | ||||
\(133\) | 1.12694e9 | + | 4.93747e9i | 0.312299 | + | 1.36827i | ||||
\(134\) | −3.48568e9 | + | 2.37650e9i | −0.933934 | + | 0.636745i | ||||
\(135\) | −9.33050e8 | + | 1.61609e9i | −0.241770 | + | 0.418759i | ||||
\(136\) | 1.07231e10 | + | 1.85729e10i | 2.68778 | + | 4.65538i | ||||
\(137\) | −8.44349e8 | − | 4.06617e8i | −0.204776 | − | 0.0986150i | 0.328685 | − | 0.944440i | \(-0.393395\pi\) |
−0.533461 | + | 0.845825i | \(0.679109\pi\) | |||||||
\(138\) | 1.26731e10 | − | 3.90914e9i | 2.97459 | − | 0.917540i | ||||
\(139\) | −8.04785e7 | + | 1.07391e9i | −0.0182858 | + | 0.244007i | 0.980569 | + | 0.196172i | \(0.0628511\pi\) |
−0.998855 | + | 0.0478347i | \(0.984768\pi\) | |||||||
\(140\) | −2.14014e9 | + | 9.37655e9i | −0.470831 | + | 2.06285i | ||||
\(141\) | −2.98483e9 | − | 7.60521e9i | −0.635965 | − | 1.62041i | ||||
\(142\) | 6.62421e8 | + | 8.83940e9i | 0.136721 | + | 1.82442i | ||||
\(143\) | −1.61676e9 | − | 2.43687e8i | −0.323321 | − | 0.0487328i | ||||
\(144\) | −1.31993e9 | + | 1.22471e9i | −0.255811 | + | 0.237358i | ||||
\(145\) | −7.06331e8 | + | 3.40151e8i | −0.132694 | + | 0.0639022i | ||||
\(146\) | −9.95301e9 | − | 6.78585e9i | −1.81287 | − | 1.23599i | ||||
\(147\) | 2.85206e9 | − | 7.26693e9i | 0.503768 | − | 1.28358i | ||||
\(148\) | 3.18931e9 | + | 9.83773e8i | 0.546411 | + | 0.168545i | ||||
\(149\) | 4.82818e9 | + | 4.47990e9i | 0.802501 | + | 0.744612i | 0.970481 | − | 0.241178i | \(-0.0775339\pi\) |
−0.167980 | + | 0.985790i | \(0.553724\pi\) | |||||||
\(150\) | 5.77013e9 | + | 7.23551e9i | 0.930625 | + | 1.16697i | ||||
\(151\) | −2.95721e9 | − | 3.70823e9i | −0.462899 | − | 0.580457i | 0.494517 | − | 0.869168i | \(-0.335345\pi\) |
−0.957416 | + | 0.288711i | \(0.906773\pi\) | |||||||
\(152\) | 1.47801e10 | + | 1.37140e10i | 2.24586 | + | 2.08385i | ||||
\(153\) | 9.90757e8 | + | 3.05608e8i | 0.146169 | + | 0.0450872i | ||||
\(154\) | 3.64036e9 | − | 9.27549e9i | 0.521557 | − | 1.32890i | ||||
\(155\) | −1.22745e9 | − | 8.36858e8i | −0.170809 | − | 0.116455i | ||||
\(156\) | −1.27721e10 | + | 6.15070e9i | −1.72663 | + | 0.831503i | ||||
\(157\) | 4.60323e9 | − | 4.27117e9i | 0.604664 | − | 0.561046i | −0.317298 | − | 0.948326i | \(-0.602776\pi\) |
0.921962 | + | 0.387280i | \(0.126585\pi\) | |||||||
\(158\) | 1.75538e8 | + | 2.64581e7i | 0.0224086 | + | 0.00337755i | ||||
\(159\) | 5.56994e8 | + | 7.43257e9i | 0.0691136 | + | 0.922257i | ||||
\(160\) | 5.86800e9 | + | 1.49514e10i | 0.707864 | + | 1.80361i | ||||
\(161\) | −4.45411e9 | + | 1.95147e10i | −0.522450 | + | 2.28900i | ||||
\(162\) | 1.37220e9 | − | 1.83107e10i | 0.156531 | − | 2.08876i | ||||
\(163\) | −1.30802e10 | + | 4.03470e9i | −1.45134 | + | 0.447680i | −0.917442 | − | 0.397869i | \(-0.869750\pi\) |
−0.533899 | + | 0.845548i | \(0.679274\pi\) | |||||||
\(164\) | −2.52526e10 | − | 1.21610e10i | −2.72589 | − | 1.31272i | ||||
\(165\) | 1.23553e9 | + | 2.14000e9i | 0.129770 | + | 0.224769i | ||||
\(166\) | 5.84132e9 | − | 1.01175e10i | 0.597069 | − | 1.03415i | ||||
\(167\) | −1.38831e10 | + | 9.46534e9i | −1.38122 | + | 0.941699i | −0.381367 | + | 0.924424i | \(0.624547\pi\) |
−0.999851 | + | 0.0172750i | \(0.994501\pi\) | |||||||
\(168\) | −1.21631e10 | − | 5.32900e10i | −1.17802 | − | 5.16123i | ||||
\(169\) | 5.73944e9 | − | 8.65081e8i | 0.541227 | − | 0.0815768i | ||||
\(170\) | 1.08156e10 | − | 1.35623e10i | 0.993185 | − | 1.24541i | ||||
\(171\) | 9.74760e8 | 0.0871797 | ||||||||
\(172\) | −1.48730e10 | + | 2.74846e10i | −1.29574 | + | 2.39448i | ||||
\(173\) | 5.60126e9 | 0.475421 | 0.237711 | − | 0.971336i | \(-0.423603\pi\) | ||||
0.237711 | + | 0.971336i | \(0.423603\pi\) | |||||||
\(174\) | 4.39067e9 | − | 5.50572e9i | 0.363127 | − | 0.455347i | ||||
\(175\) | −1.38117e10 | + | 2.08179e9i | −1.11321 | + | 0.167790i | ||||
\(176\) | −5.07945e9 | − | 2.22545e10i | −0.399034 | − | 1.74828i | ||||
\(177\) | −4.31372e9 | + | 2.94104e9i | −0.330348 | + | 0.225228i | ||||
\(178\) | 2.79709e9 | − | 4.84470e9i | 0.208841 | − | 0.361724i | ||||
\(179\) | 2.53386e9 | + | 4.38877e9i | 0.184478 | + | 0.319524i | 0.943400 | − | 0.331656i | \(-0.107607\pi\) |
−0.758923 | + | 0.651181i | \(0.774274\pi\) | |||||||
\(180\) | 1.66781e9 | + | 8.03174e8i | 0.118419 | + | 0.0570274i | ||||
\(181\) | 1.86804e10 | − | 5.76215e9i | 1.29370 | − | 0.399054i | 0.429894 | − | 0.902879i | \(-0.358551\pi\) |
0.863805 | + | 0.503826i | \(0.168075\pi\) | |||||||
\(182\) | 2.18615e9 | − | 2.91722e10i | 0.147693 | − | 1.97082i | ||||
\(183\) | 5.22254e9 | − | 2.28814e10i | 0.344233 | − | 1.50818i | ||||
\(184\) | 2.91139e10 | + | 7.41811e10i | 1.87250 | + | 4.77104i | ||||
\(185\) | −1.27644e8 | − | 1.70329e9i | −0.00801174 | − | 0.106909i | ||||
\(186\) | 1.31954e10 | + | 1.98888e9i | 0.808376 | + | 0.121843i | ||||
\(187\) | −9.63537e9 | + | 8.94031e9i | −0.576210 | + | 0.534645i | ||||
\(188\) | 6.99059e10 | − | 3.36649e10i | 4.08135 | − | 1.96547i | ||||
\(189\) | 2.09033e10 | + | 1.42516e10i | 1.19162 | + | 0.812430i | ||||
\(190\) | 5.95818e9 | − | 1.51812e10i | 0.331683 | − | 0.845113i | ||||
\(191\) | −2.63479e10 | − | 8.12724e9i | −1.43250 | − | 0.441868i | −0.521139 | − | 0.853472i | \(-0.674493\pi\) |
−0.911363 | + | 0.411603i | \(0.864969\pi\) | |||||||
\(192\) | −5.24743e10 | − | 4.86890e10i | −2.78670 | − | 2.58568i | ||||
\(193\) | −2.18977e10 | − | 2.74588e10i | −1.13603 | − | 1.42454i | −0.890404 | − | 0.455172i | \(-0.849578\pi\) |
−0.245626 | − | 0.969365i | \(-0.578994\pi\) | |||||||
\(194\) | −3.52990e10 | − | 4.42635e10i | −1.78918 | − | 2.24356i | ||||
\(195\) | 5.31810e9 | + | 4.93448e9i | 0.263391 | + | 0.244391i | ||||
\(196\) | 7.08447e10 | + | 2.18527e10i | 3.42890 | + | 1.05768i | ||||
\(197\) | −4.30987e9 | + | 1.09814e10i | −0.203876 | + | 0.519467i | −0.995842 | − | 0.0910979i | \(-0.970962\pi\) |
0.791966 | + | 0.610565i | \(0.209058\pi\) | |||||||
\(198\) | −1.58459e9 | − | 1.08036e9i | −0.0732697 | − | 0.0499544i | ||||
\(199\) | −1.62217e10 | + | 7.81194e9i | −0.733258 | + | 0.353118i | −0.762965 | − | 0.646440i | \(-0.776257\pi\) |
0.0297068 | + | 0.999559i | \(0.490543\pi\) | |||||||
\(200\) | −4.07637e10 | + | 3.78232e10i | −1.80152 | + | 1.67156i | ||||
\(201\) | −1.40254e10 | − | 2.11399e9i | −0.606084 | − | 0.0913524i | ||||
\(202\) | 1.69839e9 | + | 2.26635e10i | 0.0717724 | + | 0.957736i | ||||
\(203\) | 3.88303e9 | + | 9.89379e9i | 0.160486 | + | 0.408913i | ||||
\(204\) | −2.53590e10 | + | 1.11105e11i | −1.02517 | + | 4.49156i | ||||
\(205\) | −1.07192e9 | + | 1.43038e10i | −0.0423907 | + | 0.565664i | ||||
\(206\) | 2.47815e10 | − | 7.64407e9i | 0.958793 | − | 0.295748i | ||||
\(207\) | 3.47109e9 | + | 1.67159e9i | 0.131401 | + | 0.0632795i | ||||
\(208\) | −3.35085e10 | − | 5.80384e10i | −1.24128 | − | 2.14996i | ||||
\(209\) | −6.17871e9 | + | 1.07018e10i | −0.223996 | + | 0.387972i | ||||
\(210\) | −3.65300e10 | + | 2.49058e10i | −1.29617 | + | 0.883716i | ||||
\(211\) | −1.00844e10 | − | 4.41828e10i | −0.350252 | − | 1.53455i | −0.776599 | − | 0.629995i | \(-0.783057\pi\) |
0.426347 | − | 0.904559i | \(-0.359800\pi\) | |||||||
\(212\) | −6.99939e10 | + | 1.05499e10i | −2.37985 | + | 0.358704i | ||||
\(213\) | −1.85814e10 | + | 2.33004e10i | −0.618544 | + | 0.775630i | ||||
\(214\) | −8.08471e10 | −2.63513 | ||||||||
\(215\) | 1.58741e10 | + | 1.94655e9i | 0.506660 | + | 0.0621289i | ||||
\(216\) | 1.00721e11 | 3.14832 | ||||||||
\(217\) | −1.25574e10 | + | 1.57465e10i | −0.384442 | + | 0.482075i | ||||
\(218\) | 3.90526e10 | − | 5.88623e9i | 1.17110 | − | 0.176516i | ||||
\(219\) | −9.01219e9 | − | 3.94850e10i | −0.264748 | − | 1.15994i | ||||
\(220\) | −1.93898e10 | + | 1.32197e10i | −0.558046 | + | 0.380470i | ||||
\(221\) | −1.92949e10 | + | 3.34197e10i | −0.544098 | + | 0.942405i | ||||
\(222\) | 7.67144e9 | + | 1.32873e10i | 0.211977 | + | 0.367155i | ||||
\(223\) | 1.96492e10 | + | 9.46254e9i | 0.532075 | + | 0.256234i | 0.680575 | − | 0.732679i | \(-0.261730\pi\) |
−0.148500 | + | 0.988912i | \(0.547445\pi\) | |||||||
\(224\) | 2.08079e11 | − | 6.41840e10i | 5.52221 | − | 1.70338i | ||||
\(225\) | −2.00904e8 | + | 2.68087e9i | −0.00522597 | + | 0.0697357i | ||||
\(226\) | −1.61091e10 | + | 7.05788e10i | −0.410756 | + | 1.79964i | ||||
\(227\) | −7.73257e9 | − | 1.97023e10i | −0.193289 | − | 0.492493i | 0.801068 | − | 0.598573i | \(-0.204265\pi\) |
−0.994358 | + | 0.106080i | \(0.966170\pi\) | |||||||
\(228\) | 8.00665e9 | + | 1.06841e11i | 0.196220 | + | 2.61838i | ||||
\(229\) | 2.86588e10 | + | 4.31962e9i | 0.688650 | + | 0.103797i | 0.484039 | − | 0.875046i | \(-0.339169\pi\) |
0.204610 | + | 0.978843i | \(0.434407\pi\) | |||||||
\(230\) | 4.72508e10 | − | 4.38423e10i | 1.11335 | − | 1.03304i | ||||
\(231\) | 3.01833e10 | − | 1.45355e10i | 0.697450 | − | 0.335874i | ||||
\(232\) | 3.49615e10 | + | 2.38363e10i | 0.792307 | + | 0.540186i | ||||
\(233\) | 2.63170e10 | − | 6.70546e10i | 0.584971 | − | 1.49048i | −0.265315 | − | 0.964162i | \(-0.585476\pi\) |
0.850286 | − | 0.526321i | \(-0.176429\pi\) | |||||||
\(234\) | −5.38040e9 | − | 1.65963e9i | −0.117312 | − | 0.0361860i | ||||
\(235\) | −2.91078e10 | − | 2.70081e10i | −0.622593 | − | 0.577682i | ||||
\(236\) | −3.09143e10 | − | 3.87653e10i | −0.648717 | − | 0.813465i | ||||
\(237\) | 3.72125e8 | + | 4.66630e8i | 0.00766164 | + | 0.00960739i | ||||
\(238\) | −1.72397e11 | − | 1.59961e11i | −3.48284 | − | 3.23160i | ||||
\(239\) | 2.31904e10 | + | 7.15329e9i | 0.459746 | + | 0.141813i | 0.515972 | − | 0.856605i | \(-0.327431\pi\) |
−0.0562266 | + | 0.998418i | \(0.517907\pi\) | |||||||
\(240\) | −3.70035e10 | + | 9.42834e10i | −0.719933 | + | 1.83436i | ||||
\(241\) | −1.03413e10 | − | 7.05058e9i | −0.197469 | − | 0.134632i | 0.460549 | − | 0.887634i | \(-0.347652\pi\) |
−0.658018 | + | 0.753002i | \(0.728605\pi\) | |||||||
\(242\) | −7.08419e10 | + | 3.41156e10i | −1.32776 | + | 0.639417i | ||||
\(243\) | 7.51188e9 | − | 6.97000e9i | 0.138204 | − | 0.128234i | ||||
\(244\) | 2.20402e11 | + | 3.32203e10i | 3.98073 | + | 0.599998i | ||||
\(245\) | −2.83537e9 | − | 3.78354e10i | −0.0502762 | − | 0.670890i | ||||
\(246\) | −4.70727e10 | − | 1.19939e11i | −0.819522 | − | 2.08811i | ||||
\(247\) | −8.07305e9 | + | 3.53703e10i | −0.138007 | + | 0.604648i | ||||
\(248\) | −5.99209e9 | + | 7.99589e10i | −0.100588 | + | 1.34225i | ||||
\(249\) | 3.75332e10 | − | 1.15774e10i | 0.618754 | − | 0.190860i | ||||
\(250\) | 9.53297e10 | + | 4.59084e10i | 1.54347 | + | 0.743296i | ||||
\(251\) | −2.74126e10 | − | 4.74801e10i | −0.435932 | − | 0.755057i | 0.561439 | − | 0.827518i | \(-0.310248\pi\) |
−0.997371 | + | 0.0724613i | \(0.976915\pi\) | |||||||
\(252\) | 1.25482e10 | − | 2.17341e10i | 0.196010 | − | 0.339499i | ||||
\(253\) | −4.03545e10 | + | 2.75132e10i | −0.619227 | + | 0.422182i | ||||
\(254\) | 5.28811e10 | + | 2.31687e11i | 0.797166 | + | 3.49261i | ||||
\(255\) | 5.76705e10 | − | 8.69243e9i | 0.854128 | − | 0.128739i | ||||
\(256\) | 1.10082e11 | − | 1.38038e11i | 1.60190 | − | 2.00872i | ||||
\(257\) | 3.13055e10 | 0.447632 | 0.223816 | − | 0.974631i | \(-0.428149\pi\) | ||||
0.223816 | + | 0.974631i | \(0.428149\pi\) | |||||||
\(258\) | −1.36057e11 | + | 4.61144e10i | −1.91175 | + | 0.647960i | ||||
\(259\) | −2.31568e10 | −0.319764 | ||||||||
\(260\) | −4.29571e10 | + | 5.38665e10i | −0.582981 | + | 0.731036i | ||||
\(261\) | 2.02283e9 | − | 3.04893e8i | 0.0269822 | − | 0.00406692i | ||||
\(262\) | 5.50159e10 | + | 2.41040e11i | 0.721328 | + | 3.16034i | ||||
\(263\) | 3.32405e10 | − | 2.26630e10i | 0.428417 | − | 0.292090i | −0.329850 | − | 0.944033i | \(-0.606998\pi\) |
0.758268 | + | 0.651943i | \(0.226046\pi\) | |||||||
\(264\) | 6.66867e10 | − | 1.15505e11i | 0.844931 | − | 1.46346i | ||||
\(265\) | 1.81125e10 | + | 3.13718e10i | 0.225618 | + | 0.390781i | ||||
\(266\) | −1.99204e11 | − | 9.59318e10i | −2.43967 | − | 1.17488i | ||||
\(267\) | 1.79726e10 | − | 5.54382e9i | 0.216427 | − | 0.0667588i | ||||
\(268\) | 1.00663e10 | − | 1.34326e11i | 0.119197 | − | 1.59057i | ||||
\(269\) | 1.40436e10 | − | 6.15289e10i | 0.163528 | − | 0.716463i | −0.824963 | − | 0.565186i | \(-0.808804\pi\) |
0.988491 | − | 0.151277i | \(-0.0483386\pi\) | |||||||
\(270\) | −2.97640e10 | − | 7.58374e10i | −0.340843 | − | 0.868453i | ||||
\(271\) | 6.74442e8 | + | 8.99980e9i | 0.00759596 | + | 0.101361i | 0.999713 | − | 0.0239530i | \(-0.00762521\pi\) |
−0.992117 | + | 0.125314i | \(0.960006\pi\) | |||||||
\(272\) | −5.32741e11 | − | 8.02979e10i | −5.90142 | − | 0.889496i | ||||
\(273\) | 7.20992e10 | − | 6.68983e10i | 0.785594 | − | 0.728925i | ||||
\(274\) | 3.68620e10 | − | 1.77518e10i | 0.395095 | − | 0.190268i | ||||
\(275\) | −2.81597e10 | − | 1.91990e10i | −0.296914 | − | 0.202433i | ||||
\(276\) | −1.54708e11 | + | 3.94189e11i | −1.60480 | + | 4.08897i | ||||
\(277\) | 1.10442e11 | + | 3.40667e10i | 1.12713 | + | 0.347674i | 0.801602 | − | 0.597859i | \(-0.203982\pi\) |
0.325529 | + | 0.945532i | \(0.394458\pi\) | |||||||
\(278\) | −3.44649e10 | − | 3.19787e10i | −0.346079 | − | 0.321114i | ||||
\(279\) | 2.41694e9 | + | 3.03075e9i | 0.0238807 | + | 0.0299454i | ||||
\(280\) | −1.65637e11 | − | 2.07702e11i | −1.61044 | − | 2.01943i | ||||
\(281\) | 5.88528e10 | + | 5.46074e10i | 0.563104 | + | 0.522484i | 0.909555 | − | 0.415584i | \(-0.136423\pi\) |
−0.346451 | + | 0.938068i | \(0.612613\pi\) | |||||||
\(282\) | 3.40833e11 | + | 1.05133e11i | 3.20938 | + | 0.989962i | ||||
\(283\) | 6.18990e9 | − | 1.57716e10i | 0.0573647 | − | 0.146163i | −0.899318 | − | 0.437295i | \(-0.855937\pi\) |
0.956683 | + | 0.291132i | \(0.0940319\pi\) | |||||||
\(284\) | −2.33851e11 | − | 1.59437e11i | −2.13307 | − | 1.45431i | ||||
\(285\) | 4.94010e10 | − | 2.37903e10i | 0.443541 | − | 0.213598i | ||||
\(286\) | 5.23258e10 | − | 4.85512e10i | 0.462454 | − | 0.429095i | ||||
\(287\) | 1.92293e11 | + | 2.89835e10i | 1.67299 | + | 0.252163i | ||||
\(288\) | −3.13204e9 | − | 4.17941e10i | −0.0268263 | − | 0.357972i | ||||
\(289\) | 7.00143e10 | + | 1.78393e11i | 0.590400 | + | 1.50431i | ||||
\(290\) | 7.61599e9 | − | 3.33678e10i | 0.0632318 | − | 0.277037i | ||||
\(291\) | 1.42246e10 | − | 1.89814e11i | 0.116284 | − | 1.55171i | ||||
\(292\) | 3.67542e11 | − | 1.13372e11i | 2.95859 | − | 0.912603i | ||||
\(293\) | 3.35064e10 | + | 1.61358e10i | 0.265597 | + | 0.127905i | 0.561943 | − | 0.827176i | \(-0.310054\pi\) |
−0.296346 | + | 0.955081i | \(0.595768\pi\) | |||||||
\(294\) | 1.70407e11 | + | 2.95154e11i | 1.33022 | + | 2.30401i | ||||
\(295\) | −1.26873e10 | + | 2.19751e10i | −0.0975375 | + | 0.168940i | ||||
\(296\) | −7.61720e10 | + | 5.19332e10i | −0.576744 | + | 0.393217i | ||||
\(297\) | 1.37365e10 | + | 6.01835e10i | 0.102441 | + | 0.448821i | ||||
\(298\) | −2.84334e11 | + | 4.28564e10i | −2.08860 | + | 0.314806i | ||||
\(299\) | −8.94035e10 | + | 1.12108e11i | −0.646896 | + | 0.811182i | ||||
\(300\) | −2.95495e11 | −2.10622 | ||||||||
\(301\) | 4.23990e10 | − | 2.12637e11i | 0.297719 | − | 1.49310i | ||||
\(302\) | 2.07067e11 | 1.43245 | ||||||||
\(303\) | −4.76413e10 | + | 5.97403e10i | −0.324707 | + | 0.407170i | ||||
\(304\) | −5.00854e11 | + | 7.54916e10i | −3.36341 | + | 0.506953i | ||||
\(305\) | −2.53826e10 | − | 1.11208e11i | −0.167953 | − | 0.735849i | ||||
\(306\) | −3.73995e10 | + | 2.54986e10i | −0.243848 | + | 0.166253i | ||||
\(307\) | 2.73219e10 | − | 4.73230e10i | 0.175545 | − | 0.304053i | −0.764805 | − | 0.644262i | \(-0.777165\pi\) |
0.940350 | + | 0.340209i | \(0.110498\pi\) | |||||||
\(308\) | 1.59078e11 | + | 2.75531e11i | 1.00724 | + | 1.74459i | ||||
\(309\) | 7.85568e10 | + | 3.78310e10i | 0.490197 | + | 0.236067i | ||||
\(310\) | 6.19752e10 | − | 1.91168e10i | 0.381145 | − | 0.117568i | ||||
\(311\) | −6.70612e9 | + | 8.94870e10i | −0.0406490 | + | 0.542423i | 0.939290 | + | 0.343125i | \(0.111485\pi\) |
−0.979939 | + | 0.199298i | \(0.936134\pi\) | |||||||
\(312\) | 8.71322e10 | − | 3.81751e11i | 0.520575 | − | 2.28079i | ||||
\(313\) | −5.70679e10 | − | 1.45407e11i | −0.336080 | − | 0.856317i | −0.994603 | − | 0.103756i | \(-0.966914\pi\) |
0.658523 | − | 0.752560i | \(-0.271181\pi\) | |||||||
\(314\) | 2.04871e10 | + | 2.73382e11i | 0.118932 | + | 1.58703i | ||||
\(315\) | −1.27000e10 | − | 1.91421e9i | −0.0726784 | − | 0.0109545i | ||||
\(316\) | −4.15507e9 | + | 3.85534e9i | −0.0234415 | + | 0.0217506i | ||||
\(317\) | −4.26492e10 | + | 2.05388e10i | −0.237216 | + | 0.114237i | −0.548716 | − | 0.836009i | \(-0.684883\pi\) |
0.311500 | + | 0.950246i | \(0.399169\pi\) | |||||||
\(318\) | −2.68855e11 | − | 1.83302e11i | −1.47433 | − | 1.00518i | ||||
\(319\) | −9.47473e9 | + | 2.41412e10i | −0.0512281 | + | 0.130527i | ||||
\(320\) | −3.32453e11 | − | 1.02548e11i | −1.77237 | − | 0.546705i | ||||
\(321\) | −1.99255e11 | − | 1.84882e11i | −1.04746 | − | 0.971901i | ||||
\(322\) | −5.44850e11 | − | 6.83221e11i | −2.82440 | − | 3.54168i | ||||
\(323\) | 1.81847e11 | + | 2.28029e11i | 0.929596 | + | 1.16568i | ||||
\(324\) | 4.29784e11 | + | 3.98782e11i | 2.16670 | + | 2.01040i | ||||
\(325\) | −9.56148e10 | − | 2.94933e10i | −0.475390 | − | 0.146638i | ||||
\(326\) | 2.18326e11 | − | 5.56286e11i | 1.07060 | − | 2.72784i | ||||
\(327\) | 1.09709e11 | + | 7.47986e10i | 0.530615 | + | 0.361767i | ||||
\(328\) | 6.97530e11 | − | 3.35913e11i | 3.32760 | − | 1.60249i | ||||
\(329\) | −3.94624e11 | + | 3.66157e11i | −1.85696 | + | 1.72300i | ||||
\(330\) | −1.06675e11 | − | 1.60787e10i | −0.495165 | − | 0.0746341i | ||||
\(331\) | −1.64641e10 | − | 2.19699e11i | −0.0753899 | − | 1.00601i | −0.898742 | − | 0.438478i | \(-0.855518\pi\) |
0.823352 | − | 0.567531i | \(-0.192101\pi\) | |||||||
\(332\) | 1.36280e11 | + | 3.47237e11i | 0.615619 | + | 1.56857i | ||||
\(333\) | −9.91779e8 | + | 4.34527e9i | −0.00441993 | + | 0.0193650i | ||||
\(334\) | 5.48193e10 | − | 7.31513e11i | 0.241032 | − | 3.21635i | ||||
\(335\) | −6.58735e10 | + | 2.03193e10i | −0.285765 | + | 0.0881469i | ||||
\(336\) | 1.23717e12 | + | 5.95787e11i | 5.29543 | + | 2.55014i | ||||
\(337\) | 8.14996e10 | + | 1.41162e11i | 0.344208 | + | 0.596186i | 0.985210 | − | 0.171354i | \(-0.0548141\pi\) |
−0.641001 | + | 0.767540i | \(0.721481\pi\) | |||||||
\(338\) | −1.26699e11 | + | 2.19450e11i | −0.528019 | + | 0.914556i | ||||
\(339\) | −2.01103e11 | + | 1.37109e11i | −0.827026 | + | 0.563857i | ||||
\(340\) | 1.23250e11 | + | 5.39993e11i | 0.500185 | + | 2.19146i | ||||
\(341\) | −4.85947e10 | + | 7.32447e9i | −0.194623 | + | 0.0293347i | ||||
\(342\) | −2.65329e10 | + | 3.32712e10i | −0.104874 | + | 0.131508i | ||||
\(343\) | −1.24103e11 | −0.484126 | ||||||||
\(344\) | −3.37408e11 | − | 7.94536e11i | −1.29910 | − | 3.05915i | ||||
\(345\) | 2.16713e11 | 0.823567 | ||||||||
\(346\) | −1.52466e11 | + | 1.91186e11i | −0.571913 | + | 0.717157i | ||||
\(347\) | −2.93965e11 | + | 4.43081e10i | −1.08846 | + | 0.164059i | −0.668668 | − | 0.743561i | \(-0.733135\pi\) |
−0.419792 | + | 0.907620i | \(0.637897\pi\) | |||||||
\(348\) | 5.00341e10 | + | 2.19214e11i | 0.182877 | + | 0.801238i | ||||
\(349\) | 3.00836e10 | − | 2.05107e10i | 0.108546 | − | 0.0740057i | −0.507830 | − | 0.861457i | \(-0.669552\pi\) |
0.616377 | + | 0.787451i | \(0.288600\pi\) | |||||||
\(350\) | 3.04898e11 | − | 5.28098e11i | 1.08605 | − | 1.88109i | ||||
\(351\) | 9.06178e10 | + | 1.56955e11i | 0.318663 | + | 0.551941i | ||||
\(352\) | 4.78709e11 | + | 2.30534e11i | 1.66199 | + | 0.800374i | ||||
\(353\) | 5.14040e11 | − | 1.58560e11i | 1.76202 | − | 0.543511i | 0.766862 | − | 0.641812i | \(-0.221817\pi\) |
0.995157 | + | 0.0983006i | \(0.0313407\pi\) | |||||||
\(354\) | 1.70333e10 | − | 2.27294e11i | 0.0576480 | − | 0.769260i | ||||
\(355\) | −3.22311e10 | + | 1.41214e11i | −0.107708 | + | 0.471899i | ||||
\(356\) | 6.52573e10 | + | 1.66273e11i | 0.215330 | + | 0.548652i | ||||
\(357\) | −5.90882e10 | − | 7.88478e11i | −0.192528 | − | 2.56911i | ||||
\(358\) | −2.18772e11 | − | 3.29746e10i | −0.703911 | − | 0.106098i | ||||
\(359\) | −1.23329e11 | + | 1.14432e11i | −0.391868 | + | 0.363600i | −0.851360 | − | 0.524581i | \(-0.824222\pi\) |
0.459492 | + | 0.888182i | \(0.348031\pi\) | |||||||
\(360\) | −4.60684e10 | + | 2.21854e10i | −0.144558 | + | 0.0696154i | ||||
\(361\) | −4.00606e10 | − | 2.73129e10i | −0.124147 | − | 0.0846418i | ||||
\(362\) | −3.11802e11 | + | 7.94459e11i | −0.954312 | + | 2.43155i | ||||
\(363\) | −2.52612e11 | − | 7.79206e10i | −0.763616 | − | 0.235544i | ||||
\(364\) | 6.84721e11 | + | 6.35329e11i | 2.04436 | + | 1.89689i | ||||
\(365\) | −1.22728e11 | − | 1.53896e11i | −0.361931 | − | 0.453847i | ||||
\(366\) | 6.38848e11 | + | 8.01090e11i | 1.86094 | + | 2.33355i | ||||
\(367\) | −1.56447e11 | − | 1.45161e11i | −0.450162 | − | 0.417690i | 0.422235 | − | 0.906486i | \(-0.361246\pi\) |
−0.872398 | + | 0.488797i | \(0.837436\pi\) | |||||||
\(368\) | −1.91298e12 | − | 5.90078e11i | −5.43746 | − | 1.67723i | ||||
\(369\) | 1.36743e10 | − | 3.48416e10i | 0.0383961 | − | 0.0978316i | ||||
\(370\) | 6.16123e10 | + | 4.20065e10i | 0.170907 | + | 0.116522i | ||||
\(371\) | 4.42479e11 | − | 2.13087e11i | 1.21258 | − | 0.583948i | ||||
\(372\) | −3.12341e11 | + | 2.89810e11i | −0.845640 | + | 0.784639i | ||||
\(373\) | −2.56673e11 | − | 3.86873e10i | −0.686580 | − | 0.103485i | −0.203518 | − | 0.979071i | \(-0.565237\pi\) |
−0.483062 | + | 0.875586i | \(0.660475\pi\) | |||||||
\(374\) | −4.28831e10 | − | 5.72236e11i | −0.113335 | − | 1.51235i | ||||
\(375\) | 1.29965e11 | + | 3.31146e11i | 0.339381 | + | 0.864727i | ||||
\(376\) | −4.76905e11 | + | 2.08946e12i | −1.23051 | + | 5.39123i | ||||
\(377\) | −5.68987e9 | + | 7.59260e10i | −0.0145066 | + | 0.193577i | ||||
\(378\) | −1.05543e12 | + | 3.25557e11i | −2.65899 | + | 0.820190i | ||||
\(379\) | −6.13997e11 | − | 2.95686e11i | −1.52859 | − | 0.736129i | −0.534546 | − | 0.845139i | \(-0.679518\pi\) |
−0.994041 | + | 0.109010i | \(0.965232\pi\) | |||||||
\(380\) | 2.60363e11 | + | 4.50962e11i | 0.640551 | + | 1.10947i | ||||
\(381\) | −3.99494e11 | + | 6.91944e11i | −0.971288 | + | 1.68232i | ||||
\(382\) | 9.94591e11 | − | 6.78101e11i | 2.38979 | − | 1.62933i | ||||
\(383\) | −7.40856e10 | − | 3.24590e11i | −0.175930 | − | 0.770798i | −0.983483 | − | 0.181003i | \(-0.942066\pi\) |
0.807553 | − | 0.589795i | \(-0.200792\pi\) | |||||||
\(384\) | 1.41710e12 | − | 2.13594e11i | 3.32592 | − | 0.501301i | ||||
\(385\) | 1.01517e11 | − | 1.27299e11i | 0.235487 | − | 0.295292i | ||||
\(386\) | 1.53329e12 | 3.51547 | ||||||||
\(387\) | −3.80844e10 | − | 1.70630e10i | −0.0863074 | − | 0.0386683i | ||||
\(388\) | 1.80770e12 | 4.04934 | ||||||||
\(389\) | 9.76200e10 | − | 1.22412e11i | 0.216155 | − | 0.271050i | −0.661918 | − | 0.749576i | \(-0.730257\pi\) |
0.878073 | + | 0.478526i | \(0.158829\pi\) | |||||||
\(390\) | −3.13185e11 | + | 4.72051e10i | −0.685505 | + | 0.103323i | ||||
\(391\) | 2.56511e11 | + | 1.12385e12i | 0.555022 | + | 2.43171i | ||||
\(392\) | −1.69202e12 | + | 1.15360e12i | −3.61925 | + | 2.46756i | ||||
\(393\) | −4.15622e11 | + | 7.19878e11i | −0.878885 | + | 1.52227i | ||||
\(394\) | −2.57509e11 | − | 4.46019e11i | −0.538344 | − | 0.932439i | ||||
\(395\) | 2.61351e9 | + | 1.25860e9i | 0.00540178 | + | 0.00260136i | ||||
\(396\) | 5.85154e10 | − | 1.80496e10i | 0.119575 | − | 0.0368841i | ||||
\(397\) | −2.01206e10 | + | 2.68490e11i | −0.0406521 | + | 0.542465i | 0.939282 | + | 0.343145i | \(0.111492\pi\) |
−0.979935 | + | 0.199320i | \(0.936127\pi\) | |||||||
\(398\) | 1.74910e11 | − | 7.66330e11i | 0.349414 | − | 1.53088i | ||||
\(399\) | −2.71580e11 | − | 6.91975e11i | −0.536439 | − | 1.36682i | ||||
\(400\) | −1.04395e11 | − | 1.39305e12i | −0.203896 | − | 2.72081i | ||||
\(401\) | −3.24692e10 | − | 4.89394e9i | −0.0627078 | − | 0.00945169i | 0.117613 | − | 0.993059i | \(-0.462476\pi\) |
−0.180321 | + | 0.983608i | \(0.557714\pi\) | |||||||
\(402\) | 4.53926e11 | − | 4.21182e11i | 0.866897 | − | 0.804363i | ||||
\(403\) | −1.29992e11 | + | 6.26006e10i | −0.245495 | + | 0.118224i | ||||
\(404\) | −5.99574e11 | − | 4.08783e11i | −1.11976 | − | 0.763443i | ||||
\(405\) | 1.09619e11 | − | 2.79304e11i | 0.202459 | − | 0.515858i | ||||
\(406\) | −4.43397e11 | − | 1.36770e11i | −0.809890 | − | 0.249818i | ||||
\(407\) | −4.14199e10 | − | 3.84320e10i | −0.0748228 | − | 0.0694254i | ||||
\(408\) | −1.96267e12 | − | 2.46111e12i | −3.50652 | − | 4.39704i | ||||
\(409\) | 3.47003e11 | + | 4.35128e11i | 0.613166 | + | 0.768886i | 0.987365 | − | 0.158462i | \(-0.0506537\pi\) |
−0.374199 | + | 0.927349i | \(0.622082\pi\) | |||||||
\(410\) | −4.59049e11 | − | 4.25936e11i | −0.802291 | − | 0.744418i | ||||
\(411\) | 1.31445e11 | + | 4.05454e10i | 0.227225 | + | 0.0700896i | ||||
\(412\) | −3.02521e11 | + | 7.70812e11i | −0.517272 | + | 1.31799i | ||||
\(413\) | 2.84237e11 | + | 1.93789e11i | 0.480734 | + | 0.327759i | ||||
\(414\) | −1.51539e11 | + | 7.29772e10i | −0.253526 | + | 0.122092i | ||||
\(415\) | 1.39940e11 | − | 1.29845e11i | 0.231592 | − | 0.214886i | ||||
\(416\) | 1.54249e12 | + | 2.32493e11i | 2.52524 | + | 0.380618i | ||||
\(417\) | −1.18127e10 | − | 1.57629e11i | −0.0191309 | − | 0.255284i | ||||
\(418\) | −1.97099e11 | − | 5.02199e11i | −0.315784 | − | 0.804605i | ||||
\(419\) | 2.61606e11 | − | 1.14617e12i | 0.414653 | − | 1.81671i | −0.146755 | − | 0.989173i | \(-0.546883\pi\) |
0.561408 | − | 0.827539i | \(-0.310260\pi\) | |||||||
\(420\) | 1.05496e11 | − | 1.40774e12i | 0.165429 | − | 2.20750i | ||||
\(421\) | 4.05798e11 | − | 1.25172e11i | 0.629565 | − | 0.194195i | 0.0364791 | − | 0.999334i | \(-0.488386\pi\) |
0.593086 | + | 0.805139i | \(0.297910\pi\) | |||||||
\(422\) | 1.78258e12 | + | 8.58443e11i | 2.73616 | + | 1.31767i | ||||
\(423\) | 5.18065e10 | + | 8.97316e10i | 0.0786779 | + | 0.136274i | ||||
\(424\) | 9.77609e11 | − | 1.69327e12i | 1.46899 | − | 2.54437i | ||||
\(425\) | −6.64625e11 | + | 4.53134e11i | −0.988159 | + | 0.673715i | ||||
\(426\) | −2.89519e11 | − | 1.26847e12i | −0.425926 | − | 1.86611i | ||||
\(427\) | −1.52919e12 | + | 2.30488e11i | −2.22605 | + | 0.335524i | ||||
\(428\) | 1.60949e12 | − | 2.01824e12i | 2.31841 | − | 2.90720i | ||||
\(429\) | 2.39989e11 | 0.342085 | ||||||||
\(430\) | −4.98533e11 | + | 4.88842e11i | −0.703212 | + | 0.689541i | ||||
\(431\) | 3.72304e11 | 0.519697 | 0.259848 | − | 0.965649i | \(-0.416327\pi\) | ||||
0.259848 | + | 0.965649i | \(0.416327\pi\) | |||||||
\(432\) | −1.57759e12 | + | 1.97824e12i | −2.17931 | + | 2.73277i | ||||
\(433\) | −3.48922e11 | + | 5.25916e10i | −0.477017 | + | 0.0718987i | −0.383150 | − | 0.923686i | \(-0.625161\pi\) |
−0.0938665 | + | 0.995585i | \(0.529923\pi\) | |||||||
\(434\) | −1.95659e11 | − | 8.57236e11i | −0.264725 | − | 1.15984i | ||||
\(435\) | 9.50762e10 | − | 6.48219e10i | 0.127312 | − | 0.0868001i | ||||
\(436\) | −6.30510e11 | + | 1.09208e12i | −0.835608 | + | 1.44732i | ||||
\(437\) | 5.41876e11 | + | 9.38556e11i | 0.710777 | + | 1.23110i | ||||
\(438\) | 1.59304e12 | + | 7.67168e11i | 2.06820 | + | 0.995995i | ||||
\(439\) | 7.20714e10 | − | 2.22311e10i | 0.0926132 | − | 0.0285674i | −0.248102 | − | 0.968734i | \(-0.579807\pi\) |
0.340715 | + | 0.940166i | \(0.389331\pi\) | |||||||
\(440\) | 4.84417e10 | − | 6.46409e11i | 0.0616144 | − | 0.822187i | ||||
\(441\) | −2.20305e10 | + | 9.65221e10i | −0.0277365 | + | 0.121522i | ||||
\(442\) | −6.15500e11 | − | 1.56827e12i | −0.767057 | − | 1.95443i | ||||
\(443\) | 5.66039e10 | + | 7.55327e11i | 0.0698280 | + | 0.931791i | 0.916593 | + | 0.399823i | \(0.130928\pi\) |
−0.846764 | + | 0.531968i | \(0.821453\pi\) | |||||||
\(444\) | −4.84422e11 | − | 7.30148e10i | −0.591562 | − | 0.0891636i | ||||
\(445\) | 6.70095e10 | − | 6.21758e10i | 0.0810059 | − | 0.0751625i | ||||
\(446\) | −8.57831e11 | + | 4.13110e11i | −1.02658 | + | 0.494377i | ||||
\(447\) | −7.98772e11 | − | 5.44593e11i | −0.946322 | − | 0.645191i | ||||
\(448\) | −1.72321e12 | + | 4.39067e12i | −2.02110 | + | 5.14967i | ||||
\(449\) | −7.03005e11 | − | 2.16848e11i | −0.816301 | − | 0.251795i | −0.141635 | − | 0.989919i | \(-0.545236\pi\) |
−0.674666 | + | 0.738124i | \(0.735712\pi\) | |||||||
\(450\) | −8.60369e10 | − | 7.98306e10i | −0.0989073 | − | 0.0917726i | ||||
\(451\) | 2.95847e11 | + | 3.70980e11i | 0.336723 | + | 0.422237i | ||||
\(452\) | −1.44120e12 | − | 1.80721e12i | −1.62406 | − | 2.03651i | ||||
\(453\) | 5.10336e11 | + | 4.73522e11i | 0.569396 | + | 0.528322i | ||||
\(454\) | 8.82972e11 | + | 2.72361e11i | 0.975428 | + | 0.300880i | ||||
\(455\) | 1.74642e11 | − | 4.44980e11i | 0.191028 | − | 0.486732i | ||||
\(456\) | −2.44522e12 | − | 1.66712e12i | −2.64835 | − | 1.80562i | ||||
\(457\) | −8.96238e11 | + | 4.31606e11i | −0.961171 | + | 0.462875i | −0.847589 | − | 0.530653i | \(-0.821947\pi\) |
−0.113582 | + | 0.993529i | \(0.536232\pi\) | |||||||
\(458\) | −9.27530e11 | + | 8.60622e11i | −0.984994 | + | 0.913941i | ||||
\(459\) | 1.44071e12 | + | 2.17152e11i | 1.51502 | + | 0.228353i | ||||
\(460\) | 1.53803e11 | + | 2.05235e12i | 0.160160 | + | 2.13718i | ||||
\(461\) | 2.36210e11 | + | 6.01854e11i | 0.243582 | + | 0.620636i | 0.999418 | − | 0.0341250i | \(-0.0108644\pi\) |
−0.755836 | + | 0.654761i | \(0.772769\pi\) | |||||||
\(462\) | −3.25451e11 | + | 1.42589e12i | −0.332351 | + | 1.45612i | ||||
\(463\) | 4.82007e10 | − | 6.43194e11i | 0.0487460 | − | 0.650471i | −0.918303 | − | 0.395879i | \(-0.870440\pi\) |
0.967049 | − | 0.254591i | \(-0.0819410\pi\) | |||||||
\(464\) | −1.01576e12 | + | 3.13322e11i | −1.01733 | + | 0.313805i | ||||
\(465\) | 1.96460e11 | + | 9.46103e10i | 0.194866 | + | 0.0938426i | ||||
\(466\) | 1.57241e12 | + | 2.72349e12i | 1.54464 | + | 2.67540i | ||||
\(467\) | 6.46685e11 | − | 1.12009e12i | 0.629168 | − | 1.08975i | −0.358551 | − | 0.933510i | \(-0.616729\pi\) |
0.987719 | − | 0.156241i | \(-0.0499377\pi\) | |||||||
\(468\) | 1.48542e11 | − | 1.01275e11i | 0.143135 | − | 0.0975875i | ||||
\(469\) | 2.07966e11 | + | 9.11157e11i | 0.198479 | + | 0.869592i | ||||
\(470\) | 1.71417e12 | − | 2.58370e11i | 1.62037 | − | 0.244231i | ||||
\(471\) | −5.74679e11 | + | 7.20625e11i | −0.538061 | + | 0.674707i | ||||
\(472\) | 1.36958e12 | 1.27013 | ||||||||
\(473\) | 4.28739e11 | − | 3.09970e11i | 0.393839 | − | 0.284737i | ||||
\(474\) | −2.60566e10 | −0.0237091 | ||||||||
\(475\) | −4.71515e11 | + | 5.91261e11i | −0.424985 | + | 0.532915i | ||||
\(476\) | 7.42525e12 | − | 1.11918e12i | 6.62948 | − | 0.999234i | ||||
\(477\) | −2.10339e10 | − | 9.21556e10i | −0.0186032 | − | 0.0815059i | ||||
\(478\) | −8.75402e11 | + | 5.96839e11i | −0.766976 | + | 0.522916i | ||||
\(479\) | −7.17384e11 | + | 1.24254e12i | −0.622647 | + | 1.07846i | 0.366344 | + | 0.930479i | \(0.380609\pi\) |
−0.988991 | + | 0.147976i | \(0.952724\pi\) | |||||||
\(480\) | −1.17877e12 | − | 2.04169e12i | −1.01355 | − | 1.75552i | ||||
\(481\) | −1.49459e11 | − | 7.19757e10i | −0.127312 | − | 0.0613103i | ||||
\(482\) | 5.22144e11 | − | 1.61060e11i | 0.440635 | − | 0.135918i | ||||
\(483\) | 2.19560e11 | − | 2.92983e12i | 0.183566 | − | 2.44952i | ||||
\(484\) | 5.58657e11 | − | 2.44764e12i | 0.462744 | − | 2.02742i | ||||
\(485\) | −3.37984e11 | − | 8.61170e11i | −0.277370 | − | 0.706726i | ||||
\(486\) | 3.34323e10 | + | 4.46124e11i | 0.0271834 | + | 0.362737i | ||||
\(487\) | 3.64186e11 | + | 5.48922e10i | 0.293388 | + | 0.0442212i | 0.294087 | − | 0.955779i | \(-0.404984\pi\) |
−0.000698913 | 1.00000i | \(0.500222\pi\) | ||||||||
\(488\) | −4.51321e12 | + | 4.18765e12i | −3.60244 | + | 3.34258i | ||||
\(489\) | 1.81021e12 | − | 8.71749e11i | 1.43165 | − | 0.689448i | ||||
\(490\) | 1.36860e12 | + | 9.33098e11i | 1.07249 | + | 0.731215i | ||||
\(491\) | −2.51769e11 | + | 6.41497e11i | −0.195495 | + | 0.498113i | −0.994685 | − | 0.102965i | \(-0.967167\pi\) |
0.799190 | + | 0.601079i | \(0.205262\pi\) | |||||||
\(492\) | 3.93123e12 | + | 1.21262e12i | 3.02472 | + | 0.933003i | ||||
\(493\) | 4.48695e11 | + | 4.16328e11i | 0.342090 | + | 0.317413i | ||||
\(494\) | −9.87537e11 | − | 1.23833e12i | −0.746074 | − | 0.935548i | ||||
\(495\) | −1.95392e10 | − | 2.45014e10i | −0.0146279 | − | 0.0183429i | ||||
\(496\) | −1.47660e12 | − | 1.37008e12i | −1.09546 | − | 1.01643i | ||||
\(497\) | 1.87647e12 | + | 5.78814e11i | 1.37955 | + | 0.425535i | ||||
\(498\) | −6.26480e11 | + | 1.59625e12i | −0.456431 | + | 1.16297i | ||||
\(499\) | −5.84508e11 | − | 3.98511e11i | −0.422025 | − | 0.287732i | 0.333627 | − | 0.942705i | \(-0.391727\pi\) |
−0.755652 | + | 0.654973i | \(0.772680\pi\) | |||||||
\(500\) | −3.04384e12 | + | 1.46584e12i | −2.17800 | + | 1.04887i | ||||
\(501\) | 1.80794e12 | − | 1.67752e12i | 1.28208 | − | 1.18959i | ||||
\(502\) | 2.36679e12 | + | 3.56737e11i | 1.66339 | + | 0.250715i | ||||
\(503\) | −1.23125e11 | − | 1.64299e12i | −0.0857612 | − | 1.14440i | −0.859582 | − | 0.510999i | \(-0.829276\pi\) |
0.773820 | − | 0.633405i | \(-0.218343\pi\) | |||||||
\(504\) | 2.53259e11 | + | 6.45294e11i | 0.174835 | + | 0.445472i | ||||
\(505\) | −8.26379e10 | + | 3.62060e11i | −0.0565416 | + | 0.247725i | ||||
\(506\) | 1.59345e11 | − | 2.12632e12i | 0.108059 | − | 1.44195i | ||||
\(507\) | −8.14103e11 | + | 2.51117e11i | −0.547197 | + | 0.168788i | ||||
\(508\) | −6.83650e12 | − | 3.29228e12i | −4.55456 | − | 2.19336i | ||||
\(509\) | 1.17775e12 | + | 2.03992e12i | 0.777720 | + | 1.34705i | 0.933253 | + | 0.359219i | \(0.116957\pi\) |
−0.155534 | + | 0.987831i | \(0.549710\pi\) | |||||||
\(510\) | −1.27309e12 | + | 2.20506e12i | −0.833285 | + | 1.44329i | ||||
\(511\) | −2.20492e12 | + | 1.50329e12i | −1.43054 | + | 0.975324i | ||||
\(512\) | 6.02821e11 | + | 2.64113e12i | 0.387680 | + | 1.69854i | ||||
\(513\) | 1.35447e12 | − | 2.04154e11i | 0.863459 | − | 0.130146i | ||||
\(514\) | −8.52132e11 | + | 1.06854e12i | −0.538484 | + | 0.675238i | ||||
\(515\) | 4.23768e11 | 0.265458 | ||||||||
\(516\) | 1.55741e12 | − | 4.31451e12i | 0.967118 | − | 2.67921i | ||||
\(517\) | −1.31354e12 | −0.808607 | ||||||||
\(518\) | 6.30325e11 | − | 7.90403e11i | 0.384663 | − | 0.482352i | ||||
\(519\) | −8.12973e11 | + | 1.22536e11i | −0.491839 | + | 0.0741328i | ||||
\(520\) | −4.23480e11 | − | 1.85539e12i | −0.253991 | − | 1.11281i | ||||
\(521\) | 1.30037e12 | − | 8.86579e11i | 0.773211 | − | 0.527167i | −0.111243 | − | 0.993793i | \(-0.535483\pi\) |
0.884454 | + | 0.466627i | \(0.154531\pi\) | |||||||
\(522\) | −4.46545e10 | + | 7.73439e10i | −0.0263238 | + | 0.0455941i | ||||
\(523\) | −8.00829e11 | − | 1.38708e12i | −0.468039 | − | 0.810667i | 0.531294 | − | 0.847188i | \(-0.321706\pi\) |
−0.999333 | + | 0.0365202i | \(0.988373\pi\) | |||||||
\(524\) | −7.11249e12 | − | 3.42519e12i | −4.12127 | − | 1.98470i | ||||
\(525\) | 1.95911e12 | − | 6.04305e11i | 1.12549 | − | 0.347168i | ||||
\(526\) | −1.31255e11 | + | 1.75147e12i | −0.0747617 | + | 0.997626i | ||||
\(527\) | −2.58099e11 | + | 1.13080e12i | −0.145760 | + | 0.638616i | ||||
\(528\) | 1.22409e12 | + | 3.11893e12i | 0.685425 | + | 1.74643i | ||||
\(529\) | 1.85498e11 | + | 2.47530e12i | 0.102989 | + | 1.37429i | ||||
\(530\) | −1.56383e12 | − | 2.35709e11i | −0.860889 | − | 0.129758i | ||||
\(531\) | 4.85372e10 | − | 4.50360e10i | 0.0264941 | − | 0.0245830i | ||||
\(532\) | 6.36053e12 | − | 3.06307e12i | 3.44263 | − | 1.65789i | ||||
\(533\) | 1.15102e12 | + | 7.84750e11i | 0.617745 | + | 0.421171i | ||||
\(534\) | −2.99988e11 | + | 7.64356e11i | −0.159650 | + | 0.406780i | ||||
\(535\) | −1.26239e12 | − | 3.89396e11i | −0.666195 | − | 0.205494i | ||||
\(536\) | 2.72752e12 | + | 2.53077e12i | 1.42734 | + | 1.32437i | ||||
\(537\) | −4.63777e11 | − | 5.81558e11i | −0.240672 | − | 0.301793i | ||||
\(538\) | 1.71788e12 | + | 2.15416e12i | 0.884043 | + | 1.10855i | ||||
\(539\) | −9.20067e11 | − | 8.53697e11i | −0.469537 | − | 0.435667i | ||||
\(540\) | 2.48571e12 | + | 7.66740e11i | 1.25799 | + | 0.388040i | ||||
\(541\) | 8.45740e11 | − | 2.15491e12i | 0.424472 | − | 1.08154i | −0.545455 | − | 0.838140i | \(-0.683643\pi\) |
0.969927 | − | 0.243397i | \(-0.0782618\pi\) | |||||||
\(542\) | −3.25546e11 | − | 2.21953e11i | −0.162037 | − | 0.110475i | ||||
\(543\) | −2.58524e12 | + | 1.24499e12i | −1.27615 | + | 0.614562i | ||||
\(544\) | 9.19273e12 | − | 8.52961e12i | 4.50038 | − | 4.17575i | ||||
\(545\) | 6.38138e11 | + | 9.61839e10i | 0.309835 | + | 0.0467001i | ||||
\(546\) | 3.20884e11 | + | 4.28190e12i | 0.154519 | + | 2.06191i | ||||
\(547\) | −5.67446e11 | − | 1.44583e12i | −0.271008 | − | 0.690516i | −0.999982 | − | 0.00597531i | \(-0.998098\pi\) |
0.728975 | − | 0.684541i | \(-0.239997\pi\) | |||||||
\(548\) | −2.90693e11 | + | 1.27361e12i | −0.137696 | + | 0.603287i | ||||
\(549\) | −2.22434e10 | + | 2.96817e11i | −0.0104502 | + | 0.139448i | ||||
\(550\) | 1.42182e12 | − | 4.38573e11i | 0.662540 | − | 0.204366i | ||||
\(551\) | 5.18467e11 | + | 2.49680e11i | 0.239629 | + | 0.115399i | ||||
\(552\) | −5.84845e12 | − | 1.01298e13i | −2.68111 | − | 4.64382i | ||||
\(553\) | 1.96634e10 | − | 3.40580e10i | 0.00894118 | − | 0.0154866i | ||||
\(554\) | −4.16900e12 | + | 2.84238e12i | −1.88035 | + | 1.28200i | ||||
\(555\) | 5.57883e10 | + | 2.44425e11i | 0.0249589 | + | 0.109352i | ||||
\(556\) | 1.48442e12 | − | 2.23741e11i | 0.658751 | − | 0.0992908i | ||||
\(557\) | −5.47002e11 | + | 6.85918e11i | −0.240791 | + | 0.301942i | −0.887512 | − | 0.460784i | \(-0.847568\pi\) |
0.646721 | + | 0.762726i | \(0.276140\pi\) | |||||||
\(558\) | −1.69236e11 | −0.0738992 | ||||||||
\(559\) | 9.34569e11 | − | 1.24062e12i | 0.404816 | − | 0.537386i | ||||
\(560\) | 6.67379e12 | 2.86765 | ||||||||
\(561\) | 1.20290e12 | − | 1.50839e12i | 0.512741 | − | 0.642957i | ||||
\(562\) | −3.46586e12 | + | 5.22395e11i | −1.46554 | + | 0.220895i | ||||
\(563\) | −8.69197e11 | − | 3.80820e12i | −0.364612 | − | 1.59747i | −0.741331 | − | 0.671140i | \(-0.765805\pi\) |
0.376719 | − | 0.926327i | \(-0.377052\pi\) | |||||||
\(564\) | −9.40974e12 | + | 6.41545e12i | −3.91581 | + | 2.66976i | ||||
\(565\) | −5.91475e11 | + | 1.02447e12i | −0.244185 | + | 0.422941i | ||||
\(566\) | 3.69839e11 | + | 6.40579e11i | 0.151474 | + | 0.262361i | ||||
\(567\) | −3.66497e12 | − | 1.76496e12i | −1.48918 | − | 0.717150i | ||||
\(568\) | 7.47057e12 | − | 2.30436e12i | 3.01152 | − | 0.928931i | ||||
\(569\) | −1.21925e11 | + | 1.62698e12i | −0.0487627 | + | 0.650692i | 0.918256 | + | 0.395987i | \(0.129598\pi\) |
−0.967019 | + | 0.254705i | \(0.918022\pi\) | |||||||
\(570\) | −5.32665e11 | + | 2.33376e12i | −0.211357 | + | 0.926018i | ||||
\(571\) | −2.09778e11 | − | 5.34507e11i | −0.0825845 | − | 0.210422i | 0.883617 | − | 0.468211i | \(-0.155101\pi\) |
−0.966201 | + | 0.257789i | \(0.917006\pi\) | |||||||
\(572\) | 1.70322e11 | + | 2.27279e12i | 0.0665256 | + | 0.887722i | ||||
\(573\) | 4.00195e12 | + | 6.03197e11i | 1.55087 | + | 0.233756i | ||||
\(574\) | −6.22348e12 | + | 5.77454e12i | −2.39293 | + | 2.22031i | ||||
\(575\) | −2.69299e12 | + | 1.29687e12i | −1.02737 | + | 0.494758i | ||||
\(576\) | 7.50087e11 | + | 5.11400e11i | 0.283929 | + | 0.193580i | ||||
\(577\) | 2.61258e11 | − | 6.65674e11i | 0.0981246 | − | 0.250017i | −0.873379 | − | 0.487040i | \(-0.838076\pi\) |
0.971504 | + | 0.237023i | \(0.0761717\pi\) | |||||||
\(578\) | −7.99483e12 | − | 2.46608e12i | −2.97944 | − | 0.919034i | ||||
\(579\) | 3.77895e12 | + | 3.50635e12i | 1.39739 | + | 1.29659i | ||||
\(580\) | 6.81364e11 | + | 8.54404e11i | 0.250008 | + | 0.313500i | ||||
\(581\) | −1.61365e12 | − | 2.02345e12i | −0.587511 | − | 0.736716i | ||||
\(582\) | 6.09166e12 | + | 5.65224e12i | 2.20081 | + | 2.04205i | ||||
\(583\) | 1.14510e12 | + | 3.53216e11i | 0.410520 | + | 0.126629i | ||||
\(584\) | −3.88149e12 | + | 9.88987e12i | −1.38083 | + | 3.51830i | ||||
\(585\) | −7.60189e10 | − | 5.18288e10i | −0.0268361 | − | 0.0182966i | ||||
\(586\) | −1.46280e12 | + | 7.04448e11i | −0.512444 | + | 0.246780i | ||||
\(587\) | −9.32311e11 | + | 8.65058e11i | −0.324108 | + | 0.300728i | −0.825398 | − | 0.564551i | \(-0.809049\pi\) |
0.501290 | + | 0.865279i | \(0.332859\pi\) | |||||||
\(588\) | −1.07605e13 | − | 1.62189e12i | −3.71224 | − | 0.559530i | ||||
\(589\) | 8.14902e10 | + | 1.08741e12i | 0.0278989 | + | 0.372284i | ||||
\(590\) | −4.04722e11 | − | 1.03121e12i | −0.137506 | − | 0.350360i | ||||
\(591\) | 3.85305e11 | − | 1.68813e12i | 0.129915 | − | 0.569197i | ||||
\(592\) | 1.73074e11 | − | 2.30951e12i | 0.0579139 | − | 0.772808i | ||||
\(593\) | 2.26935e12 | − | 7.00003e11i | 0.753626 | − | 0.232463i | 0.105943 | − | 0.994372i | \(-0.466214\pi\) |
0.647684 | + | 0.761909i | \(0.275738\pi\) | |||||||
\(594\) | −2.42813e12 | − | 1.16933e12i | −0.800264 | − | 0.385387i | ||||
\(595\) | −1.92145e12 | − | 3.32805e12i | −0.628497 | − | 1.08859i | ||||
\(596\) | 4.59061e12 | − | 7.95117e12i | 1.49026 | − | 2.58121i | ||||
\(597\) | 2.18353e12 | − | 1.48871e12i | 0.703518 | − | 0.479650i | ||||
\(598\) | −1.39301e12 | − | 6.10317e12i | −0.445449 | − | 1.95164i | ||||
\(599\) | −8.27323e11 | + | 1.24699e11i | −0.262576 | + | 0.0395769i | −0.279011 | − | 0.960288i | \(-0.590006\pi\) |
0.0164350 | + | 0.999865i | \(0.494768\pi\) | |||||||
\(600\) | 5.08905e12 | − | 6.38146e12i | 1.60308 | − | 2.01020i | ||||
\(601\) | −4.51900e12 | −1.41289 | −0.706443 | − | 0.707770i | \(-0.749701\pi\) | ||||
−0.706443 | + | 0.707770i | \(0.749701\pi\) | |||||||
\(602\) | 6.10376e12 | + | 7.23514e12i | 1.89415 | + | 2.24524i | ||||
\(603\) | 1.79882e11 | 0.0554063 | ||||||||
\(604\) | −4.12225e12 | + | 5.16914e12i | −1.26028 | + | 1.58034i | ||||
\(605\) | −1.27048e12 | + | 1.91494e11i | −0.385539 | + | 0.0581106i | ||||
\(606\) | −7.42305e11 | − | 3.25225e12i | −0.223592 | − | 0.979619i | ||||
\(607\) | 1.64563e12 | − | 1.12197e12i | 0.492021 | − | 0.335454i | −0.291760 | − | 0.956492i | \(-0.594241\pi\) |
0.783781 | + | 0.621037i | \(0.213289\pi\) | |||||||
\(608\) | 5.89487e12 | − | 1.02102e13i | 1.74948 | − | 3.03018i | ||||
\(609\) | −7.80028e11 | − | 1.35105e12i | −0.229791 | − | 0.398009i | ||||
\(610\) | 4.48676e12 | + | 2.16071e12i | 1.31204 | + | 0.631847i | ||||
\(611\) | −3.68508e12 | + | 1.13670e12i | −1.06970 | + | 0.329959i | ||||
\(612\) | 1.08007e11 | − | 1.44125e12i | 0.0311221 | − | 0.415296i | ||||
\(613\) | 7.42201e10 | − | 3.25180e11i | 0.0212300 | − | 0.0930146i | −0.963203 | − | 0.268775i | \(-0.913381\pi\) |
0.984433 | + | 0.175760i | \(0.0562384\pi\) | |||||||
\(614\) | 8.71560e11 | + | 2.22070e12i | 0.247480 | + | 0.630568i | ||||
\(615\) | −1.57337e11 | − | 2.09952e12i | −0.0443499 | − | 0.591809i | ||||
\(616\) | −8.68999e12 | − | 1.30981e12i | −2.43168 | − | 0.366516i | ||||
\(617\) | 7.29657e11 | − | 6.77023e11i | 0.202692 | − | 0.188070i | −0.572295 | − | 0.820048i | \(-0.693947\pi\) |
0.774987 | + | 0.631977i | \(0.217756\pi\) | |||||||
\(618\) | −3.42958e12 | + | 1.65160e12i | −0.945787 | + | 0.455467i | ||||
\(619\) | 2.55126e12 | + | 1.73942e12i | 0.698469 | + | 0.476208i | 0.859760 | − | 0.510699i | \(-0.170613\pi\) |
−0.161291 | + | 0.986907i | \(0.551566\pi\) | |||||||
\(620\) | −7.56566e11 | + | 1.92770e12i | −0.205629 | + | 0.523934i | ||||
\(621\) | 5.17333e12 | + | 1.59576e12i | 1.39591 | + | 0.430582i | ||||
\(622\) | −2.87189e12 | − | 2.66473e12i | −0.769328 | − | 0.713832i | ||||
\(623\) | −7.72689e11 | − | 9.68922e11i | −0.205499 | − | 0.257687i | ||||
\(624\) | 6.13313e12 | + | 7.69070e12i | 1.61939 | + | 2.03065i | ||||
\(625\) | −8.00323e11 | − | 7.42591e11i | −0.209800 | − | 0.194666i | ||||
\(626\) | 6.51650e12 | + | 2.01007e12i | 1.69602 | + | 0.523152i | ||||
\(627\) | 6.62666e11 | − | 1.68844e12i | 0.171234 | − | 0.436298i | ||||
\(628\) | −7.23245e12 | − | 4.93100e12i | −1.85552 | − | 1.26508i | ||||
\(629\) | −1.20152e12 | + | 5.78623e11i | −0.306058 | + | 0.147390i | ||||
\(630\) | 4.11030e11 | − | 3.81380e11i | 0.103954 | − | 0.0964551i | ||||
\(631\) | −4.36205e12 | − | 6.57474e11i | −1.09537 | − | 0.165100i | −0.423589 | − | 0.905854i | \(-0.639230\pi\) |
−0.671776 | + | 0.740755i | \(0.734468\pi\) | |||||||
\(632\) | −1.17003e10 | − | 1.56129e11i | −0.00291722 | − | 0.0389276i | ||||
\(633\) | 2.43023e12 | + | 6.19213e12i | 0.601632 | + | 1.53293i | ||||
\(634\) | 4.59863e11 | − | 2.01479e12i | 0.113039 | − | 0.495255i | ||||
\(635\) | −2.90195e11 | + | 3.87239e12i | −0.0708286 | + | 0.945142i | ||||
\(636\) | 9.92820e12 | − | 3.06244e12i | 2.40610 | − | 0.742183i | ||||
\(637\) | −3.31996e12 | − | 1.59881e12i | −0.798924 | − | 0.384742i | ||||
\(638\) | −5.66103e11 | − | 9.80519e11i | −0.135270 | − | 0.234295i | ||||
\(639\) | 1.88979e11 | − | 3.27321e11i | 0.0448394 | − | 0.0776641i | ||||
\(640\) | 5.75493e12 | − | 3.92364e12i | 1.35591 | − | 0.924442i | ||||
\(641\) | 3.65789e11 | + | 1.60263e12i | 0.0855794 | + | 0.374948i | 0.999523 | − | 0.0308940i | \(-0.00983544\pi\) |
−0.913943 | + | 0.405842i | \(0.866978\pi\) | |||||||
\(642\) | 1.17342e13 | − | 1.76865e12i | 2.72613 | − | 0.410898i | ||||
\(643\) | 1.18881e12 | − | 1.49072e12i | 0.274260 | − | 0.343912i | −0.625557 | − | 0.780178i | \(-0.715128\pi\) |
0.899817 | + | 0.436267i | \(0.143700\pi\) | |||||||
\(644\) | 2.79024e13 | 6.39228 | ||||||||
\(645\) | −2.34657e12 | + | 6.47452e10i | −0.533845 | + | 0.0147295i | ||||
\(646\) | −1.27331e13 | −2.87665 | ||||||||
\(647\) | 2.67581e12 | − | 3.35536e12i | 0.600324 | − | 0.752783i | −0.385104 | − | 0.922873i | \(-0.625835\pi\) |
0.985428 | + | 0.170090i | \(0.0544060\pi\) | |||||||
\(648\) | −1.60138e13 | + | 2.41369e12i | −3.56785 | + | 0.537768i | ||||
\(649\) | 1.86785e11 | + | 8.18358e11i | 0.0413276 | + | 0.181068i | ||||
\(650\) | 3.60931e12 | − | 2.46079e12i | 0.793075 | − | 0.540710i | ||||
\(651\) | 1.47812e12 | − | 2.56017e12i | 0.322548 | − | 0.558669i | ||||
\(652\) | 9.54051e12 | + | 1.65247e13i | 2.06756 | + | 3.58111i | ||||
\(653\) | 3.48846e12 | + | 1.67996e12i | 0.750801 | + | 0.361567i | 0.769827 | − | 0.638252i | \(-0.220342\pi\) |
−0.0190262 | + | 0.999819i | \(0.506057\pi\) | |||||||
\(654\) | −5.53936e12 | + | 1.70867e12i | −1.18402 | + | 0.365222i | ||||
\(655\) | −3.01910e11 | + | 4.02872e12i | −0.0640903 | + | 0.855226i | ||||
\(656\) | −4.32782e12 | + | 1.89614e13i | −0.912435 | + | 3.99764i | ||||
\(657\) | 1.87652e11 | + | 4.78128e11i | 0.0392924 | + | 0.100115i | ||||
\(658\) | −1.75631e12 | − | 2.34363e13i | −0.365246 | − | 4.87386i | ||||
\(659\) | 5.72809e12 | + | 8.63370e11i | 1.18311 | + | 0.178325i | 0.710986 | − | 0.703207i | \(-0.248249\pi\) |
0.472125 | + | 0.881532i | \(0.343487\pi\) | |||||||
\(660\) | 2.52505e12 | − | 2.34290e12i | 0.517991 | − | 0.480625i | ||||
\(661\) | −2.17701e12 | + | 1.04839e12i | −0.443561 | + | 0.213608i | −0.642313 | − | 0.766442i | \(-0.722025\pi\) |
0.198753 | + | 0.980050i | \(0.436311\pi\) | |||||||
\(662\) | 7.94706e12 | + | 5.41822e12i | 1.60822 | + | 1.09647i | ||||
\(663\) | 2.06937e12 | − | 5.27268e12i | 0.415937 | − | 1.05979i | ||||
\(664\) | −9.84590e12 | − | 3.03706e12i | −1.96562 | − | 0.606313i | ||||
\(665\) | −2.64843e12 | − | 2.45739e12i | −0.525160 | − | 0.487277i | ||||
\(666\) | −1.21319e11 | − | 1.52130e11i | −0.0238944 | − | 0.0299627i | ||||
\(667\) | 1.41807e12 | + | 1.77821e12i | 0.277417 | + | 0.347870i | ||||
\(668\) | 1.71699e13 | + | 1.59313e13i | 3.33636 | + | 3.09569i | ||||
\(669\) | −3.05891e12 | − | 9.43548e11i | −0.590404 | − | 0.182115i | ||||
\(670\) | 1.09952e12 | − | 2.80153e12i | 0.210798 | − | 0.537104i | ||||
\(671\) | −3.11775e12 | − | 2.12564e12i | −0.593731 | − | 0.404799i | ||||
\(672\) | −2.87967e13 | + | 1.38678e13i | −5.44730 | + | 2.62328i | ||||
\(673\) | −7.59225e12 | + | 7.04458e12i | −1.42660 | + | 1.32369i | −0.556475 | + | 0.830865i | \(0.687846\pi\) |
−0.870127 | + | 0.492828i | \(0.835963\pi\) | |||||||
\(674\) | −7.03664e12 | − | 1.06060e12i | −1.31340 | − | 0.197963i | ||||
\(675\) | 2.82318e11 | + | 3.76727e12i | 0.0523445 | + | 0.698489i | ||||
\(676\) | −2.95595e12 | − | 7.53164e12i | −0.544424 | − | 1.38717i | ||||
\(677\) | 1.15606e10 | − | 5.06503e10i | 0.00211510 | − | 0.00926686i | −0.973859 | − | 0.227152i | \(-0.927059\pi\) |
0.975974 | + | 0.217885i | \(0.0699158\pi\) | |||||||
\(678\) | 7.94082e11 | − | 1.05963e13i | 0.144322 | − | 1.92584i | ||||
\(679\) | −1.19849e13 | + | 3.69686e12i | −2.16382 | + | 0.667451i | ||||
\(680\) | −1.37842e13 | − | 6.63812e12i | −2.47225 | − | 1.19057i | ||||
\(681\) | 1.55333e12 | + | 2.69045e12i | 0.276759 | + | 0.479361i | ||||
\(682\) | 1.07274e12 | − | 1.85804e12i | 0.189874 | − | 0.328871i | ||||
\(683\) | 6.41035e12 | − | 4.37050e12i | 1.12717 | − | 0.768490i | 0.151655 | − | 0.988433i | \(-0.451540\pi\) |
0.975513 | + | 0.219944i | \(0.0705873\pi\) | |||||||
\(684\) | −3.02357e11 | − | 1.32471e12i | −0.0528163 | − | 0.231403i | ||||
\(685\) | 6.61084e11 | − | 9.96424e10i | 0.114723 | − | 0.0172916i | ||||
\(686\) | 3.37807e12 | − | 4.23597e12i | 0.582385 | − | 0.730288i | ||||
\(687\) | −4.25407e12 | −0.728616 | ||||||||
\(688\) | 2.08901e13 | + | 5.81784e12i | 3.55462 | + | 0.989952i | ||||
\(689\) | 3.51818e12 | 0.594746 | ||||||||
\(690\) | −5.89891e12 | + | 7.39700e12i | −0.990720 | + | 1.24232i | ||||
\(691\) | −1.99444e10 | + | 3.00614e9i | −0.00332790 | + | 0.000501601i | −0.150706 | − | 0.988579i | \(-0.548155\pi\) |
0.147378 | + | 0.989080i | \(0.452917\pi\) | |||||||
\(692\) | −1.73743e12 | − | 7.61220e12i | −0.288026 | − | 1.26192i | ||||
\(693\) | −3.51040e11 | + | 2.39335e11i | −0.0578172 | + | 0.0394191i | ||||
\(694\) | 6.48934e12 | − | 1.12399e13i | 1.06190 | − | 1.83926i | ||||
\(695\) | −3.84129e11 | − | 6.65331e11i | −0.0624519 | − | 0.108170i | ||||
\(696\) | −5.59580e12 | − | 2.69479e12i | −0.903900 | − | 0.435295i | ||||
\(697\) | 1.07016e13 | − | 3.30101e12i | 1.71752 | − | 0.529785i | ||||
\(698\) | −1.18789e11 | + | 1.58513e12i | −0.0189421 | + | 0.252765i | ||||
\(699\) | −2.35276e12 | + | 1.03081e13i | −0.372760 | + | 1.63317i | ||||
\(700\) | 7.11339e12 | + | 1.81246e13i | 1.11979 | + | 2.85317i | ||||
\(701\) | −3.12219e11 | − | 4.16627e12i | −0.0488347 | − | 0.651653i | −0.966889 | − | 0.255198i | \(-0.917859\pi\) |
0.918054 | − | 0.396455i | \(-0.129760\pi\) | |||||||
\(702\) | −7.82390e12 | − | 1.17926e12i | −1.21592 | − | 0.183271i | ||||
\(703\) | −9.19077e11 | + | 8.52778e11i | −0.141923 | + | 0.131685i | ||||
\(704\) | −1.03692e13 | + | 4.99355e12i | −1.59100 | + | 0.766183i | ||||
\(705\) | 4.81558e12 | + | 3.28321e12i | 0.734172 | + | 0.500550i | ||||
\(706\) | −8.58003e12 | + | 2.18616e13i | −1.29977 | + | 3.31177i | ||||
\(707\) | 4.81112e12 | + | 1.48403e12i | 0.724200 | + | 0.223386i | ||||
\(708\) | 5.33498e12 | + | 4.95014e12i | 0.797964 | + | 0.740402i | ||||
\(709\) | 3.87417e11 | + | 4.85806e11i | 0.0575799 | + | 0.0722029i | 0.809787 | − | 0.586723i | \(-0.199582\pi\) |
−0.752208 | + | 0.658926i | \(0.771011\pi\) | |||||||
\(710\) | −3.94267e12 | − | 4.94395e12i | −0.582275 | − | 0.730150i | ||||
\(711\) | −5.54867e9 | − | 5.14841e9i | −0.000814283 | − | 0.000755544i | ||||
\(712\) | −4.71467e12 | − | 1.45428e12i | −0.687530 | − | 0.212075i | ||||
\(713\) | −1.57459e12 | + | 4.01198e12i | −0.228173 | + | 0.581375i | ||||
\(714\) | 2.85212e13 | + | 1.94455e13i | 4.10702 | + | 2.80012i | ||||
\(715\) | 1.05089e12 | − | 5.06081e11i | 0.150376 | − | 0.0724173i | ||||
\(716\) | 5.17843e12 | − | 4.80488e12i | 0.736359 | − | 0.683242i | ||||
\(717\) | −3.52237e12 | − | 5.30912e11i | −0.497735 | − | 0.0750215i | ||||
\(718\) | −5.48887e11 | − | 7.32439e12i | −0.0770767 | − | 1.02852i | ||||
\(719\) | −5.07355e12 | − | 1.29272e13i | −0.707998 | − | 1.80395i | −0.584144 | − | 0.811650i | \(-0.698570\pi\) |
−0.123854 | − | 0.992300i | \(-0.539526\pi\) | |||||||
\(720\) | 2.85831e11 | − | 1.25231e12i | 0.0396381 | − | 0.173666i | ||||
\(721\) | 4.29336e11 | − | 5.72910e12i | 0.0591683 | − | 0.789546i | ||||
\(722\) | 2.02271e12 | − | 6.23923e11i | 0.277023 | − | 0.0854503i | ||||
\(723\) | 1.65519e12 | + | 7.97097e11i | 0.225281 | + | 0.108490i | ||||
\(724\) | −1.36253e13 | − | 2.35997e13i | −1.84298 | − | 3.19214i | ||||
\(725\) | −7.93553e11 | + | 1.37447e12i | −0.106673 | + | 0.184763i | ||||
\(726\) | 9.53573e12 | − | 6.50135e12i | 1.27391 | − | 0.868538i | ||||
\(727\) | 2.03938e12 | + | 8.93513e12i | 0.270766 | + | 1.18630i | 0.909111 | + | 0.416554i | \(0.136762\pi\) |
−0.638345 | + | 0.769750i | \(0.720381\pi\) | |||||||
\(728\) | −2.55128e13 | + | 3.84543e12i | −3.36641 | + | 0.507404i | ||||
\(729\) | 4.22380e12 | − | 5.29648e12i | 0.553898 | − | 0.694566i | ||||
\(730\) | 8.59353e12 | 1.12000 | ||||||||
\(731\) | −3.11327e12 | − | 1.20924e13i | −0.403263 | − | 1.56633i | ||||
\(732\) | −3.27162e13 | −4.21175 | ||||||||
\(733\) | 5.82657e12 | − | 7.30629e12i | 0.745495 | − | 0.934822i | −0.253980 | − | 0.967209i | \(-0.581740\pi\) |
0.999475 | + | 0.0323879i | \(0.0103112\pi\) | |||||||
\(734\) | 9.21322e12 | − | 1.38867e12i | 1.17160 | − | 0.176590i | ||||
\(735\) | 1.23924e12 | + | 5.42944e12i | 0.156625 | + | 0.686218i | ||||
\(736\) | 3.85007e13 | − | 2.62493e13i | 4.83636 | − | 3.29737i | ||||
\(737\) | −1.14022e12 | + | 1.97491e12i | −0.142359 | + | 0.246572i | ||||
\(738\) | 8.17023e11 | + | 1.41513e12i | 0.101387 | + | 0.175607i | ||||
\(739\) | −7.21150e12 | − | 3.47288e12i | −0.889459 | − | 0.428341i | −0.0673884 | − | 0.997727i | \(-0.521467\pi\) |
−0.822070 | + | 0.569386i | \(0.807181\pi\) | |||||||
\(740\) | −2.27520e12 | + | 7.01806e11i | −0.278918 | + | 0.0860349i | ||||
\(741\) | 3.97952e11 | − | 5.31030e12i | 0.0484896 | − | 0.647048i | ||||
\(742\) | −4.77102e12 | + | 2.09032e13i | −0.577822 | + | 2.53160i | ||||
\(743\) | 4.64628e12 | + | 1.18385e13i | 0.559314 | + | 1.42511i | 0.878649 | + | 0.477468i | \(0.158445\pi\) |
−0.319335 | + | 0.947642i | \(0.603460\pi\) | |||||||
\(744\) | −8.79521e11 | − | 1.17364e13i | −0.105237 | − | 1.40429i | ||||
\(745\) | −4.64615e12 | − | 7.00295e11i | −0.552574 | − | 0.0832871i | ||||
\(746\) | 8.30713e12 | − | 7.70789e12i | 0.982033 | − | 0.911194i | ||||
\(747\) | −4.48803e11 | + | 2.16132e11i | −0.0527367 | + | 0.0253966i | ||||
\(748\) | 1.51388e13 | + | 1.03214e13i | 1.76821 | + | 1.20554i | ||||
\(749\) | −6.54337e12 | + | 1.66722e13i | −0.759685 | + | 1.93565i | ||||
\(750\) | −1.48406e13 | − | 4.57771e12i | −1.71267 | − | 0.528290i | ||||
\(751\) | 1.05685e13 | + | 9.80616e12i | 1.21237 | + | 1.12491i | 0.988646 | + | 0.150261i | \(0.0480114\pi\) |
0.223722 | + | 0.974653i | \(0.428179\pi\) | |||||||
\(752\) | −3.35688e13 | − | 4.20939e13i | −3.82785 | − | 4.79997i | ||||
\(753\) | 5.01740e12 | + | 6.29161e12i | 0.568723 | + | 0.713156i | ||||
\(754\) | −2.43668e12 | − | 2.26091e12i | −0.274554 | − | 0.254749i | ||||
\(755\) | 3.23325e12 | + | 9.97326e11i | 0.362141 | + | 0.111706i | ||||
\(756\) | 1.28842e13 | − | 3.28285e13i | 1.43453 | − | 3.65513i | ||||
\(757\) | 3.57946e12 | + | 2.44043e12i | 0.396174 | + | 0.270107i | 0.744978 | − | 0.667089i | \(-0.232460\pi\) |
−0.348804 | + | 0.937196i | \(0.613412\pi\) | |||||||
\(758\) | 2.68055e13 | − | 1.29089e13i | 2.94926 | − | 1.42029i | ||||
\(759\) | 5.25520e12 | − | 4.87612e12i | 0.574780 | − | 0.533318i | ||||
\(760\) | −1.42229e13 | − | 2.14376e12i | −1.54642 | − | 0.233085i | ||||
\(761\) | 2.75453e10 | + | 3.67566e11i | 0.00297726 | + | 0.0397288i | 0.998495 | − | 0.0548509i | \(-0.0174683\pi\) |
−0.995517 | + | 0.0945796i | \(0.969849\pi\) | |||||||
\(762\) | −1.27437e13 | − | 3.24705e13i | −1.36930 | − | 3.48892i | ||||
\(763\) | 1.94687e12 | − | 8.52980e12i | 0.207959 | − | 0.911126i | ||||
\(764\) | −2.87229e12 | + | 3.83281e13i | −0.305006 | + | 4.07003i | ||||
\(765\) | −7.06789e11 | + | 2.18015e11i | −0.0746128 | + | 0.0230150i | ||||
\(766\) | 1.30957e13 | + | 6.30657e12i | 1.37436 | + | 0.661857i | ||||
\(767\) | 1.23219e12 | + | 2.13422e12i | 0.128558 | + | 0.222670i | ||||
\(768\) | −1.29576e13 | + | 2.24432e13i | −1.34400 | + | 2.32787i | ||||
\(769\) | 1.07714e13 | − | 7.34382e12i | 1.11072 | − | 0.757275i | 0.138270 | − | 0.990395i | \(-0.455846\pi\) |
0.972448 | + | 0.233120i | \(0.0748934\pi\) | |||||||
\(770\) | 1.58176e12 | + | 6.93013e12i | 0.162155 | + | 0.710449i | ||||
\(771\) | −4.54371e12 | + | 6.84854e11i | −0.463090 | + | 0.0697996i | ||||
\(772\) | −3.05246e13 | + | 3.82766e13i | −3.09294 | + | 3.87842i | ||||
\(773\) | −2.69456e12 | −0.271444 | −0.135722 | − | 0.990747i | \(-0.543335\pi\) | ||||
−0.135722 | + | 0.990747i | \(0.543335\pi\) | |||||||
\(774\) | 1.61906e12 | − | 8.35472e11i | 0.162154 | − | 0.0836753i | ||||
\(775\) | −3.00749e12 | −0.299466 | ||||||||
\(776\) | −3.11325e13 | + | 3.90389e13i | −3.08202 | + | 3.86473i | ||||
\(777\) | 3.36100e12 | − | 5.06589e11i | 0.330806 | − | 0.0498610i | ||||
\(778\) | 1.52103e12 | + | 6.66406e12i | 0.148843 | + | 0.652125i | ||||
\(779\) | 8.69933e12 | − | 5.93110e12i | 0.846383 | − | 0.577054i | ||||
\(780\) | 5.05643e12 | − | 8.75799e12i | 0.489123 | − | 0.847186i | ||||
\(781\) | 2.39576e12 | + | 4.14958e12i | 0.230417 | + | 0.399094i | ||||
\(782\) | −4.53422e13 | − | 2.18356e13i | −4.33583 | − | 2.08802i | ||||
\(783\) | 2.74696e12 | − | 8.47324e11i | 0.261170 | − | 0.0805604i | ||||
\(784\) | 3.84451e12 | − | 5.13014e13i | 0.363428 | − | 4.84961i | ||||
\(785\) | −9.96831e11 | + | 4.36740e12i | −0.0936932 | + | 0.410497i | ||||
\(786\) | −1.32582e13 | − | 3.37813e13i | −1.23903 | − | 3.15700i | ||||
\(787\) | −7.35574e11 | − | 9.81555e12i | −0.0683503 | − | 0.912071i | −0.920994 | − | 0.389578i | \(-0.872621\pi\) |
0.852643 | − | 0.522493i | \(-0.174998\pi\) | |||||||
\(788\) | 1.62607e13 | + | 2.45090e12i | 1.50235 | + | 0.226443i | ||||
\(789\) | −4.32878e12 | + | 4.01652e12i | −0.397666 | + | 0.368980i | ||||
\(790\) | −1.14099e11 | + | 5.49471e10i | −0.0104222 | + | 0.00501907i | ||||
\(791\) | 1.32509e13 | + | 9.03432e12i | 1.20352 | + | 0.820543i | ||||
\(792\) | −6.17962e11 | + | 1.57454e12i | −0.0558082 | + | 0.142197i | ||||
\(793\) | −1.05861e13 | − | 3.26539e12i | −0.950623 | − | 0.293228i | ||||
\(794\) | −8.61662e12 | − | 7.99506e12i | −0.769387 | − | 0.713887i | ||||
\(795\) | −3.31518e12 | − | 4.15710e12i | −0.294344 | − | 0.369095i | ||||
\(796\) | 1.56483e13 | + | 1.96223e13i | 1.38152 | + | 1.73237i | ||||
\(797\) | 3.94117e12 | + | 3.65687e12i | 0.345990 | + | 0.321031i | 0.833956 | − | 0.551831i | \(-0.186071\pi\) |
−0.487966 | + | 0.872862i | \(0.662261\pi\) | |||||||
\(798\) | 3.10114e13 | + | 9.56574e12i | 2.70712 | + | 0.835037i | ||||
\(799\) | −1.13264e13 | + | 2.88592e13i | −0.983176 | + | 2.50509i | ||||
\(800\) | 2.68661e13 | + | 1.83170e13i | 2.31900 | + | 1.58106i | ||||
\(801\) | −2.14907e11 | + | 1.03494e11i | −0.0184461 | + | 0.00888318i | ||||
\(802\) | 1.05085e12 | − | 9.75048e11i | 0.0896927 | − | 0.0832226i | ||||
\(803\) | −6.43882e12 | − | 9.70495e11i | −0.546495 | − | 0.0823708i | ||||
\(804\) | 1.47754e12 | + | 1.97164e13i | 0.124706 | + | 1.66409i | ||||
\(805\) | −5.21689e12 | − | 1.32924e13i | −0.437855 | − | 1.11564i | ||||
\(806\) | 1.40163e12 | − | 6.14095e12i | 0.116984 | − | 0.512540i | ||||
\(807\) | −6.92262e11 | + | 9.23759e12i | −0.0574566 | + | 0.766704i | ||||
\(808\) | 1.91539e13 | − | 5.90821e12i | 1.58091 | − | 0.487646i | ||||
\(809\) | −1.09829e13 | − | 5.28909e12i | −0.901465 | − | 0.434123i | −0.0750472 | − | 0.997180i | \(-0.523911\pi\) |
−0.826418 | + | 0.563057i | \(0.809625\pi\) | |||||||
\(810\) | 6.54959e12 | + | 1.13442e13i | 0.534603 | + | 0.925960i | ||||
\(811\) | −3.62771e12 | + | 6.28337e12i | −0.294468 | + | 0.510034i | −0.974861 | − | 0.222814i | \(-0.928476\pi\) |
0.680393 | + | 0.732848i | \(0.261809\pi\) | |||||||
\(812\) | 1.22413e13 | − | 8.34601e12i | 0.988160 | − | 0.673716i | ||||
\(813\) | −2.94773e11 | − | 1.29149e12i | −0.0236636 | − | 0.103677i | ||||
\(814\) | 2.43923e12 | − | 3.67655e11i | 0.194735 | − | 0.0293516i | ||||
\(815\) | 6.08838e12 | − | 7.63459e12i | 0.483384 | − | 0.606145i | ||||
\(816\) | 7.90793e13 | 6.24392 | ||||||||
\(817\) | −6.14784e12 | − | 1.00008e13i | −0.482751 | − | 0.785300i | ||||
\(818\) | −2.42975e13 | −1.89745 | ||||||||
\(819\) | −7.77712e11 | + | 9.75221e11i | −0.0604006 | + | 0.0757400i | ||||
\(820\) | 1.97716e13 | − | 2.98008e12i | 1.52714 | − | 0.230179i | ||||
\(821\) | −1.51022e12 | − | 6.61671e12i | −0.116010 | − | 0.508274i | −0.999227 | − | 0.0393094i | \(-0.987484\pi\) |
0.883217 | − | 0.468965i | \(-0.155373\pi\) | |||||||
\(822\) | −4.96184e12 | + | 3.38293e12i | −0.379070 | + | 0.258446i | ||||
\(823\) | −3.24625e12 | + | 5.62267e12i | −0.246651 | + | 0.427212i | −0.962594 | − | 0.270946i | \(-0.912663\pi\) |
0.715944 | + | 0.698158i | \(0.245997\pi\) | |||||||
\(824\) | −1.14363e13 | − | 1.98082e13i | −0.864195 | − | 1.49683i | ||||
\(825\) | 4.50714e12 | + | 2.17052e12i | 0.338733 | + | 0.163125i | ||||
\(826\) | −1.43514e13 | + | 4.42683e12i | −1.07272 | + | 0.330890i | ||||
\(827\) | −1.00328e11 | + | 1.33879e12i | −0.00745845 | + | 0.0995261i | −0.999691 | − | 0.0248739i | \(-0.992082\pi\) |
0.992232 | + | 0.124400i | \(0.0397006\pi\) | |||||||
\(828\) | 1.19503e12 | − | 5.23577e12i | 0.0883573 | − | 0.387119i | ||||
\(829\) | 1.25863e12 | + | 3.20693e12i | 0.0925555 | + | 0.235828i | 0.969653 | − | 0.244484i | \(-0.0786187\pi\) |
−0.877098 | + | 0.480312i | \(0.840523\pi\) | |||||||
\(830\) | 6.22815e11 | + | 8.31088e12i | 0.0455520 | + | 0.607849i | ||||
\(831\) | −1.67749e13 | − | 2.52841e12i | −1.22027 | − | 0.183926i | ||||
\(832\) | −2.47691e13 | + | 2.29823e13i | −1.79207 | + | 1.66280i | ||||
\(833\) | −2.66896e13 | + | 1.28531e13i | −1.92061 | + | 0.924919i | ||||
\(834\) | 5.70185e12 | + | 3.88745e12i | 0.408102 | + | 0.278239i | ||||
\(835\) | 4.37927e12 | − | 1.11582e13i | 0.311754 | − | 0.794337i | ||||
\(836\) | 1.64605e13 | + | 5.07740e12i | 1.16551 | + | 0.359512i | ||||
\(837\) | 3.99320e12 | + | 3.70515e12i | 0.281227 | + | 0.260940i | ||||
\(838\) | 3.20010e13 | + | 4.01280e13i | 2.24164 | + | 2.81092i | ||||
\(839\) | −5.62423e12 | − | 7.05256e12i | −0.391863 | − | 0.491381i | 0.546293 | − | 0.837594i | \(-0.316039\pi\) |
−0.938156 | + | 0.346214i | \(0.887467\pi\) | |||||||
\(840\) | 2.85845e13 | + | 2.65225e13i | 1.98095 | + | 1.83805i | ||||
\(841\) | −1.27086e13 | − | 3.92009e12i | −0.876024 | − | 0.270218i | ||||
\(842\) | −6.77332e12 | + | 1.72581e13i | −0.464406 | + | 1.18329i | ||||
\(843\) | −9.73657e12 | − | 6.63828e12i | −0.664021 | − | 0.452722i | ||||
\(844\) | −5.69170e13 | + | 2.74098e13i | −3.86101 | + | 1.85937i | ||||
\(845\) | −3.03532e12 | + | 2.81637e12i | −0.204809 | + | 0.190035i | ||||
\(846\) | −4.47295e12 | − | 6.74189e11i | −0.300212 | − | 0.0452496i | ||||
\(847\) | 1.30171e12 | + | 1.73701e13i | 0.0869039 | + | 1.15965i | ||||
\(848\) | 1.79448e13 | + | 4.57226e13i | 1.19167 | + | 3.03634i | ||||
\(849\) | −5.53381e11 | + | 2.42452e12i | −0.0365544 | + | 0.160155i | ||||
\(850\) | 2.62437e12 | − | 3.50197e13i | 0.172440 | − | 2.30106i | ||||
\(851\) | −4.73521e12 | + | 1.46062e12i | −0.309497 | + | 0.0954672i | ||||
\(852\) | 3.74292e13 | + | 1.80250e13i | 2.43351 | + | 1.17192i | ||||
\(853\) | −8.22566e12 | − | 1.42473e13i | −0.531986 | − | 0.921427i | −0.999303 | − | 0.0373367i | \(-0.988113\pi\) |
0.467317 | − | 0.884090i | \(-0.345221\pi\) | |||||||
\(854\) | 3.37572e13 | − | 5.84692e13i | 2.17173 | − | 3.76155i | ||||
\(855\) | −5.74547e11 | + | 3.91720e11i | −0.0367687 | + | 0.0250685i | ||||
\(856\) | 1.58667e13 | + | 6.95165e13i | 1.01008 | + | 4.42544i | ||||
\(857\) | 1.60320e13 | − | 2.41643e12i | 1.01525 | − | 0.153025i | 0.379722 | − | 0.925101i | \(-0.376020\pi\) |
0.635530 | + | 0.772076i | \(0.280782\pi\) | |||||||
\(858\) | −6.53249e12 | + | 8.19148e12i | −0.411515 | + | 0.516024i | ||||
\(859\) | −1.47383e13 | −0.923590 | −0.461795 | − | 0.886987i | \(-0.652794\pi\) | ||||
−0.461795 | + | 0.886987i | \(0.652794\pi\) | |||||||
\(860\) | −2.27854e12 | − | 2.21770e13i | −0.142041 | − | 1.38248i | ||||
\(861\) | −2.85436e13 | −1.77009 | ||||||||
\(862\) | −1.01341e13 | + | 1.27077e13i | −0.625175 | + | 0.783945i | ||||
\(863\) | −5.21859e12 | + | 7.86575e11i | −0.320261 | + | 0.0482716i | −0.307206 | − | 0.951643i | \(-0.599394\pi\) |
−0.0130556 | + | 0.999915i | \(0.504156\pi\) | |||||||
\(864\) | −1.31055e13 | − | 5.74188e13i | −0.800093 | − | 3.50544i | ||||
\(865\) | −3.30152e12 | + | 2.25094e12i | −0.200513 | + | 0.136707i | ||||
\(866\) | 7.70255e12 | − | 1.33412e13i | 0.465376 | − | 0.806055i | ||||
\(867\) | −1.40646e13 | − | 2.43605e13i | −0.845357 | − | 1.46420i | ||||
\(868\) | 2.52948e13 | + | 1.21814e13i | 1.51249 | + | 0.728378i | ||||
\(869\) | 9.16955e10 | − | 2.82843e10i | 0.00545455 | − | 0.00168251i | ||||
\(870\) | −3.75422e11 | + | 5.00965e12i | −0.0222169 | + | 0.296463i | ||||
\(871\) | −1.48980e12 | + | 6.52722e12i | −0.0877092 | + | 0.384279i | ||||
\(872\) | −1.27256e13 | − | 3.24242e13i | −0.745338 | − | 1.89909i | ||||
\(873\) | 1.80399e11 | + | 2.40725e12i | 0.0105116 | + | 0.140268i | ||||
\(874\) | −4.67852e13 | − | 7.05174e12i | −2.71211 | − | 0.408785i | ||||
\(875\) | 1.71827e13 | − | 1.59432e13i | 0.990959 | − | 0.919476i | ||||
\(876\) | −5.08652e13 | + | 2.44954e13i | −2.91845 | + | 1.40545i | ||||
\(877\) | 5.42049e10 | + | 3.69563e10i | 0.00309415 | + | 0.00210955i | 0.564866 | − | 0.825183i | \(-0.308928\pi\) |
−0.561772 | + | 0.827292i | \(0.689880\pi\) | |||||||
\(878\) | −1.20297e12 | + | 3.06512e12i | −0.0683172 | + | 0.174069i | ||||
\(879\) | −5.21615e12 | − | 1.60897e12i | −0.294714 | − | 0.0909071i | ||||
\(880\) | 1.19372e13 | + | 1.10761e13i | 0.671014 | + | 0.622610i | ||||
\(881\) | −1.05540e13 | − | 1.32343e13i | −0.590234 | − | 0.740130i | 0.393586 | − | 0.919288i | \(-0.371234\pi\) |
−0.983820 | + | 0.179158i | \(0.942663\pi\) | |||||||
\(882\) | −2.69489e12 | − | 3.37929e12i | −0.149945 | − | 0.188025i | ||||
\(883\) | 8.66281e12 | + | 8.03792e12i | 0.479552 | + | 0.444959i | 0.882534 | − | 0.470249i | \(-0.155836\pi\) |
−0.402982 | + | 0.915208i | \(0.632026\pi\) | |||||||
\(884\) | 5.14029e13 | + | 1.58557e13i | 2.83108 | + | 0.873273i | ||||
\(885\) | 1.36072e12 | − | 3.46705e12i | 0.0745629 | − | 0.189983i | ||||
\(886\) | −2.73221e13 | − | 1.86279e13i | −1.48957 | − | 1.01558i | ||||
\(887\) | −3.99864e12 | + | 1.92564e12i | −0.216898 | + | 0.104453i | −0.539178 | − | 0.842192i | \(-0.681265\pi\) |
0.322280 | + | 0.946644i | \(0.395551\pi\) | |||||||
\(888\) | 9.91957e12 | − | 9.20402e12i | 0.535346 | − | 0.496729i | ||||
\(889\) | 5.20583e13 | + | 7.84653e12i | 2.79533 | + | 0.421328i | ||||
\(890\) | 2.98232e11 | + | 3.97963e12i | 0.0159331 | + | 0.212612i | ||||
\(891\) | −3.62623e12 | − | 9.23948e12i | −0.192755 | − | 0.491132i | ||||
\(892\) | 6.76483e12 | − | 2.96387e13i | 0.357779 | − | 1.56753i | ||||
\(893\) | −2.17813e12 | + | 2.90651e13i | −0.114618 | + | 1.52947i | ||||
\(894\) | 4.03309e13 | − | 1.24404e13i | 2.11164 | − | 0.651354i | ||||
\(895\) | −3.25720e12 | − | 1.56858e12i | −0.169684 | − | 0.0817155i | ||||
\(896\) | −4.72148e13 | − | 8.17784e13i | −2.44733 | − | 4.23889i | ||||
\(897\) | 1.05236e13 | − | 1.82274e13i | 0.542747 | − | 0.940066i | ||||
\(898\) | 2.65374e13 | − | 1.80929e13i | 1.36180 | − | 0.928462i | ||||
\(899\) | 5.09238e11 | + | 2.23112e12i | 0.0260017 | + | 0.113921i | ||||
\(900\) | 3.70567e12 | − | 5.58539e11i | 0.188267 | − | 0.0283767i | ||||
\(901\) | 1.76343e13 | − | 2.21127e13i | 0.891447 | − | 1.11784i | ||||
\(902\) | −2.07155e13 | −1.04199 | ||||||||
\(903\) | −1.50209e12 | + | 3.17898e13i | −0.0751796 | + | 1.59108i | ||||
\(904\) | 6.38488e13 | 3.17976 | ||||||||
\(905\) | −8.69511e12 | + | 1.09033e13i | −0.430880 | + | 0.540307i | ||||
\(906\) | −3.00539e13 | + | 4.52989e12i | −1.48192 | + | 0.223363i | ||||
\(907\) | −6.31566e12 | − | 2.76707e13i | −0.309875 | − | 1.35765i | −0.854709 | − | 0.519107i | \(-0.826265\pi\) |
0.544835 | − | 0.838544i | \(-0.316592\pi\) | |||||||
\(908\) | −2.43771e13 | + | 1.66201e13i | −1.19014 | + | 0.811421i | ||||
\(909\) | 4.84527e11 | − | 8.39225e11i | 0.0235386 | − | 0.0407700i | ||||
\(910\) | 1.04346e13 | + | 1.80733e13i | 0.504419 | + | 0.873679i | ||||
\(911\) | 2.59274e13 | + | 1.24860e13i | 1.24717 | + | 0.600606i | 0.936752 | − | 0.349993i | \(-0.113816\pi\) |
0.310420 | + | 0.950600i | \(0.399530\pi\) | |||||||
\(912\) | 7.10429e13 | − | 2.19138e13i | 3.40051 | − | 1.04892i | ||||
\(913\) | 4.71923e11 | − | 6.29738e12i | 0.0224778 | − | 0.299945i | ||||
\(914\) | 9.66367e12 | − | 4.23393e13i | 0.458020 | − | 2.00671i | ||||
\(915\) | 6.11691e12 | + | 1.55856e13i | 0.288494 | + | 0.735071i | ||||
\(916\) | −3.01914e12 | − | 4.02876e13i | −0.141695 | − | 1.89078i | ||||
\(917\) | 5.41600e13 | + | 8.16330e12i | 2.52939 | + | 0.381245i | ||||
\(918\) | −4.66279e13 | + | 4.32643e13i | −2.16697 | + | 2.01066i | ||||
\(919\) | 1.93847e13 | − | 9.33517e12i | 0.896477 | − | 0.431720i | 0.0718615 | − | 0.997415i | \(-0.477106\pi\) |
0.824615 | + | 0.565694i | \(0.191392\pi\) | |||||||
\(920\) | −4.69711e13 | − | 3.20244e13i | −2.16165 | − | 1.47379i | ||||
\(921\) | −2.93027e12 | + | 7.46621e12i | −0.134196 | + | 0.341926i | ||||
\(922\) | −2.69725e13 | − | 8.31992e12i | −1.22923 | − | 0.379167i | ||||
\(923\) | 1.03121e13 | + | 9.56823e12i | 0.467670 | + | 0.433934i | ||||
\(924\) | −2.91164e13 | − | 3.65108e13i | −1.31406 | − | 1.64778i | ||||
\(925\) | −2.15596e12 | − | 2.70349e12i | −0.0968286 | − | 0.121419i | ||||
\(926\) | 2.06419e13 | + | 1.91529e13i | 0.922573 | + | 0.856023i | ||||
\(927\) | −1.05665e12 | − | 3.25934e11i | −0.0469973 | − | 0.0144968i | ||||
\(928\) | 9.03947e12 | − | 2.30322e13i | 0.400108 | − | 1.01946i | ||||
\(929\) | −3.29308e13 | − | 2.24519e13i | −1.45055 | − | 0.988966i | −0.995118 | − | 0.0986947i | \(-0.968533\pi\) |
−0.455430 | − | 0.890272i | \(-0.650514\pi\) | |||||||
\(930\) | −8.57694e12 | + | 4.13043e12i | −0.375975 | + | 0.181060i | ||||
\(931\) | −2.04156e13 | + | 1.89429e13i | −0.890612 | + | 0.826367i | ||||
\(932\) | −9.92913e13 | − | 1.49658e13i | −4.31062 | − | 0.649721i | ||||
\(933\) | −9.84328e11 | − | 1.31349e13i | −0.0425277 | − | 0.567493i | ||||
\(934\) | 2.06290e13 | + | 5.25619e13i | 0.886988 | + | 2.26001i | ||||
\(935\) | 2.08654e12 | − | 9.14173e12i | 0.0892842 | − | 0.391180i | ||||
\(936\) | −3.71106e11 | + | 4.95206e12i | −0.0158036 | + | 0.210884i | ||||
\(937\) | 2.65986e12 | − | 8.20458e11i | 0.112728 | − | 0.0347719i | −0.237878 | − | 0.971295i | \(-0.576452\pi\) |
0.350606 | + | 0.936523i | \(0.385976\pi\) | |||||||
\(938\) | −3.67611e13 | − | 1.77032e13i | −1.55051 | − | 0.746687i | ||||
\(939\) | 1.14639e13 | + | 1.98560e13i | 0.481212 | + | 0.833483i | ||||
\(940\) | −2.76756e13 | + | 4.79355e13i | −1.15617 | + | 2.00254i | ||||
\(941\) | −2.55183e13 | + | 1.73981e13i | −1.06096 | + | 0.723349i | −0.962360 | − | 0.271779i | \(-0.912388\pi\) |
−0.0985978 | + | 0.995127i | \(0.531436\pi\) | |||||||
\(942\) | −8.95415e12 | − | 3.92307e13i | −0.370506 | − | 1.62329i | ||||
\(943\) | 4.11491e13 | − | 6.20224e12i | 1.69457 | − | 0.255415i | ||||
\(944\) | −2.14517e13 | + | 2.68995e13i | −0.879199 | + | 1.10248i | ||||
\(945\) | −1.80481e13 | −0.736187 | ||||||||
\(946\) | −1.09013e12 | + | 2.30714e13i | −0.0442558 | + | 0.936620i | ||||
\(947\) | 2.86746e13 | 1.15857 | 0.579286 | − | 0.815124i | \(-0.303331\pi\) | ||||
0.579286 | + | 0.815124i | \(0.303331\pi\) | |||||||
\(948\) | 5.18729e11 | − | 6.50466e11i | 0.0208595 | − | 0.0261570i | ||||
\(949\) | −1.89036e13 | + | 2.84926e12i | −0.756566 | + | 0.114034i | ||||
\(950\) | −7.34673e12 | − | 3.21881e13i | −0.292643 | − | 1.28215i | ||||
\(951\) | 5.74083e12 | − | 3.91403e12i | 0.227595 | − | 0.155171i | ||||
\(952\) | −1.03709e14 | + | 1.79629e14i | −4.09213 | + | 7.08778i | ||||
\(953\) | 8.45613e12 | + | 1.46464e13i | 0.332088 | + | 0.575194i | 0.982921 | − | 0.184027i | \(-0.0589135\pi\) |
−0.650833 | + | 0.759221i | \(0.725580\pi\) | |||||||
\(954\) | 3.71806e12 | + | 1.79052e12i | 0.145328 | + | 0.0699861i | ||||
\(955\) | 1.87961e13 | − | 5.79783e12i | 0.731228 | − | 0.225554i | ||||
\(956\) | 2.52809e12 | − | 3.37350e13i | 0.0978884 | − | 1.30623i | ||||
\(957\) | 8.47046e11 | − | 3.71115e12i | 0.0326440 | − | 0.143023i | ||||
\(958\) | −2.28843e13 | − | 5.83082e13i | −0.877794 | − | 2.23658i | ||||
\(959\) | −6.77335e11 | − | 9.03841e12i | −0.0258595 | − | 0.345071i | ||||
\(960\) | 5.04959e13 | + | 7.61104e12i | 1.91883 | + | 0.289217i | ||||
\(961\) | 1.62027e13 | − | 1.50339e13i | 0.612818 | − | 0.568612i | ||||
\(962\) | 6.52499e12 | − | 3.14227e12i | 0.245636 | − | 0.118292i | ||||
\(963\) | 2.84823e12 | + | 1.94189e12i | 0.106723 | + | 0.0727623i | ||||
\(964\) | −6.37411e12 | + | 1.62410e13i | −0.237724 | + | 0.605711i | ||||
\(965\) | 2.39417e13 | + | 7.38503e12i | 0.888754 | + | 0.274144i | ||||
\(966\) | 9.40266e13 | + | 8.72439e13i | 3.47419 | + | 3.22358i | ||||
\(967\) | 3.99820e12 | + | 5.01359e12i | 0.147043 | + | 0.184387i | 0.849898 | − | 0.526946i | \(-0.176663\pi\) |
−0.702855 | + | 0.711333i | \(0.748092\pi\) | |||||||
\(968\) | 4.32375e13 | + | 5.42181e13i | 1.58278 | + | 1.98475i | ||||
\(969\) | −3.13819e13 | − | 2.91182e13i | −1.14346 | − | 1.06098i | ||||
\(970\) | 3.85940e13 | + | 1.19047e13i | 1.39974 | + | 0.431762i | ||||
\(971\) | −1.01825e13 | + | 2.59447e13i | −0.367595 | + | 0.936617i | 0.620698 | + | 0.784050i | \(0.286849\pi\) |
−0.988293 | + | 0.152567i | \(0.951246\pi\) | |||||||
\(972\) | −1.18024e13 | − | 8.04675e12i | −0.424105 | − | 0.289150i | ||||
\(973\) | −9.38405e12 | + | 4.51912e12i | −0.335647 | + | 0.161639i | ||||
\(974\) | −1.17867e13 | + | 1.09365e13i | −0.419641 | + | 0.389370i | ||||
\(975\) | 1.45228e13 | + | 2.18897e12i | 0.514672 | + | 0.0775744i | ||||
\(976\) | −1.15582e13 | − | 1.54234e14i | −0.407725 | − | 5.44072i | ||||
\(977\) | 1.01076e13 | + | 2.57537e13i | 0.354913 | + | 0.904304i | 0.991142 | + | 0.132804i | \(0.0423980\pi\) |
−0.636229 | + | 0.771500i | \(0.719507\pi\) | |||||||
\(978\) | −1.95185e13 | + | 8.55161e13i | −0.682216 | + | 2.98898i | ||||
\(979\) | 2.25979e11 | − | 3.01547e12i | 0.00786222 | − | 0.104914i | ||||
\(980\) | −5.05394e13 | + | 1.55893e13i | −1.75030 | + | 0.539896i | ||||
\(981\) | −1.51720e12 | − | 7.30644e11i | −0.0523036 | − | 0.0251881i | ||||
\(982\) | −1.50429e13 | − | 2.60551e13i | −0.516214 | − | 0.894109i | ||||
\(983\) | 4.16078e12 | − | 7.20667e12i | 0.142129 | − | 0.246175i | −0.786169 | − | 0.618012i | \(-0.787938\pi\) |
0.928298 | + | 0.371837i | \(0.121272\pi\) | |||||||
\(984\) | −9.38916e13 | + | 6.40142e13i | −3.19263 | + | 2.17670i | ||||
\(985\) | −1.87266e12 | − | 8.20466e12i | −0.0633863 | − | 0.277714i | ||||
\(986\) | −2.64238e13 | + | 3.98275e12i | −0.890328 | + | 0.134195i | ||||
\(987\) | 4.92659e13 | − | 6.17774e13i | 1.65241 | − | 2.07206i | ||||
\(988\) | 5.05730e13 | 1.68854 | ||||||||
\(989\) | −4.74216e12 | − | 4.61553e13i | −0.157613 | − | 1.53405i | ||||
\(990\) | 1.36815e12 | 0.0452664 | ||||||||
\(991\) | 2.55488e13 | − | 3.20372e13i | 0.841472 | − | 1.05517i | −0.156251 | − | 0.987717i | \(-0.549941\pi\) |
0.997722 | − | 0.0674546i | \(-0.0214878\pi\) | |||||||
\(992\) | 4.63623e13 | − | 6.98800e12i | 1.52007 | − | 0.229113i | ||||
\(993\) | 7.19586e12 | + | 3.15271e13i | 0.234861 | + | 1.02899i | ||||
\(994\) | −7.08338e13 | + | 4.82937e13i | −2.30145 | + | 1.56910i | ||||
\(995\) | 6.42212e12 | − | 1.11234e13i | 0.207718 | − | 0.359778i | ||||
\(996\) | −2.73762e13 | − | 4.74170e13i | −0.881467 | − | 1.52675i | ||||
\(997\) | −1.38320e13 | − | 6.66113e12i | −0.443360 | − | 0.213511i | 0.198866 | − | 0.980027i | \(-0.436274\pi\) |
−0.642225 | + | 0.766516i | \(0.721989\pi\) | |||||||
\(998\) | 2.95125e13 | − | 9.10340e12i | 0.941713 | − | 0.290480i | ||||
\(999\) | −4.68047e11 | + | 6.24566e12i | −0.0148677 | + | 0.198396i |
(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 | 43.10.g.a.24.1 | yes | 384 | |
43.9 | even | 21 | inner | 43.10.g.a.9.1 | ✓ | 384 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
43.10.g.a.9.1 | ✓ | 384 | 43.9 | even | 21 | inner | |
43.10.g.a.24.1 | yes | 384 | 1.1 | even | 1 | trivial |