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 | 9.7 | ||
Character | \(\chi\) | \(=\) | 43.9 |
Dual form | 43.10.g.a.24.7 |
$q$-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 \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{1}{21}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −18.0000 | − | 22.5713i | −0.795497 | − | 0.997521i | −0.999827 | − | 0.0186192i | \(-0.994073\pi\) |
0.204330 | − | 0.978902i | \(-0.434498\pi\) | |||||||
\(3\) | 152.742 | + | 23.0222i | 1.08871 | + | 0.164097i | 0.668781 | − | 0.743459i | \(-0.266816\pi\) |
0.419931 | + | 0.907556i | \(0.362054\pi\) | |||||||
\(4\) | −71.5330 | + | 313.406i | −0.139713 | + | 0.612122i | ||||
\(5\) | 827.323 | + | 564.059i | 0.591984 | + | 0.403608i | 0.821924 | − | 0.569597i | \(-0.192901\pi\) |
−0.229940 | + | 0.973205i | \(0.573853\pi\) | |||||||
\(6\) | −2229.72 | − | 3861.99i | −0.702377 | − | 1.21655i | ||||
\(7\) | −595.853 | + | 1032.05i | −0.0937989 | + | 0.162464i | −0.909107 | − | 0.416563i | \(-0.863234\pi\) |
0.815308 | + | 0.579028i | \(0.196568\pi\) | |||||||
\(8\) | −4955.94 | + | 2386.65i | −0.427780 | + | 0.206008i | ||||
\(9\) | 3991.59 | + | 1231.24i | 0.202794 | + | 0.0625537i | ||||
\(10\) | −2160.28 | − | 28826.9i | −0.0683139 | − | 0.911586i | ||||
\(11\) | −6846.66 | − | 29997.2i | −0.140998 | − | 0.617751i | −0.995204 | − | 0.0978175i | \(-0.968814\pi\) |
0.854207 | − | 0.519934i | \(-0.174043\pi\) | |||||||
\(12\) | −18141.4 | + | 46223.5i | −0.252554 | + | 0.643498i | ||||
\(13\) | 3666.00 | − | 48919.4i | 0.0355998 | − | 0.475046i | −0.950703 | − | 0.310102i | \(-0.899637\pi\) |
0.986303 | − | 0.164944i | \(-0.0527443\pi\) | |||||||
\(14\) | 34020.0 | − | 5127.70i | 0.236678 | − | 0.0356735i | ||||
\(15\) | 113381. | + | 105202.i | 0.578270 | + | 0.536556i | ||||
\(16\) | 291368. | + | 140315.i | 1.11148 | + | 0.535261i | ||||
\(17\) | 385503. | − | 262831.i | 1.11946 | − | 0.763233i | 0.145363 | − | 0.989378i | \(-0.453565\pi\) |
0.974093 | + | 0.226146i | \(0.0726126\pi\) | |||||||
\(18\) | −44058.0 | − | 112258.i | −0.0989233 | − | 0.252053i | ||||
\(19\) | 604783. | − | 186551.i | 1.06465 | − | 0.328402i | 0.287544 | − | 0.957767i | \(-0.407161\pi\) |
0.777110 | + | 0.629365i | \(0.216685\pi\) | |||||||
\(20\) | −235961. | + | 218939.i | −0.329765 | + | 0.305977i | ||||
\(21\) | −114772. | + | 143919.i | −0.128780 | + | 0.161485i | ||||
\(22\) | −553836. | + | 694489.i | −0.504057 | + | 0.632067i | ||||
\(23\) | 741649. | − | 688150.i | 0.552616 | − | 0.512752i | −0.353697 | − | 0.935360i | \(-0.615076\pi\) |
0.906313 | + | 0.422608i | \(0.138885\pi\) | |||||||
\(24\) | −811926. | + | 250446.i | −0.499535 | + | 0.154086i | ||||
\(25\) | −347256. | − | 884794.i | −0.177795 | − | 0.453015i | ||||
\(26\) | −1.17016e6 | + | 797804.i | −0.502188 | + | 0.342386i | ||||
\(27\) | −2.15795e6 | − | 1.03921e6i | −0.781456 | − | 0.376329i | ||||
\(28\) | −280827. | − | 260569.i | −0.0863431 | − | 0.0801147i | ||||
\(29\) | 2.02898e6 | − | 305819.i | 0.532704 | − | 0.0802923i | 0.122819 | − | 0.992429i | \(-0.460807\pi\) |
0.409886 | + | 0.912137i | \(0.365569\pi\) | |||||||
\(30\) | 333692. | − | 4.45281e6i | 0.0752143 | − | 1.00366i | ||||
\(31\) | 1.01838e6 | − | 2.59478e6i | 0.198052 | − | 0.504630i | −0.797000 | − | 0.603979i | \(-0.793581\pi\) |
0.995053 | + | 0.0993497i | \(0.0316762\pi\) | |||||||
\(32\) | −1.45083e6 | − | 6.35651e6i | −0.244592 | − | 1.07163i | ||||
\(33\) | −355173. | − | 4.73946e6i | −0.0521348 | − | 0.695690i | ||||
\(34\) | −1.28715e7 | − | 3.97034e6i | −1.65186 | − | 0.509533i | ||||
\(35\) | −1.07510e6 | + | 517740.i | −0.121099 | + | 0.0583184i | ||||
\(36\) | −671410. | + | 1.16292e6i | −0.0666234 | + | 0.115395i | ||||
\(37\) | −7.06192e6 | − | 1.22316e7i | −0.619462 | − | 1.07294i | −0.989584 | − | 0.143957i | \(-0.954017\pi\) |
0.370121 | − | 0.928983i | \(-0.379316\pi\) | |||||||
\(38\) | −1.50968e7 | − | 1.02928e7i | −1.17452 | − | 0.800772i | ||||
\(39\) | 1.68618e6 | − | 7.38765e6i | 0.116712 | − | 0.511347i | ||||
\(40\) | −5.44638e6 | − | 820909.i | −0.336386 | − | 0.0507020i | ||||
\(41\) | 133545. | + | 167461.i | 0.00738077 | + | 0.00925520i | 0.785508 | − | 0.618851i | \(-0.212402\pi\) |
−0.778127 | + | 0.628106i | \(0.783830\pi\) | |||||||
\(42\) | 5.31434e6 | 0.263529 | ||||||||
\(43\) | 2.17389e7 | + | 5.47851e6i | 0.969681 | + | 0.244374i | ||||
\(44\) | 9.89107e6 | 0.397838 | ||||||||
\(45\) | 2.60784e6 | + | 3.27013e6i | 0.0948037 | + | 0.118880i | ||||
\(46\) | −2.88822e7 | − | 4.35329e6i | −0.951085 | − | 0.143353i | ||||
\(47\) | −2.12091e6 | + | 9.29232e6i | −0.0633990 | + | 0.277769i | −0.996684 | − | 0.0813670i | \(-0.974071\pi\) |
0.933285 | + | 0.359136i | \(0.116929\pi\) | |||||||
\(48\) | 4.12738e7 | + | 2.81400e7i | 1.12225 | + | 0.765136i | ||||
\(49\) | 1.94667e7 | + | 3.37174e7i | 0.482404 | + | 0.835547i | ||||
\(50\) | −1.37204e7 | + | 2.37644e7i | −0.310456 | + | 0.537726i | ||||
\(51\) | 6.49334e7 | − | 3.12703e7i | 1.34401 | − | 0.647241i | ||||
\(52\) | 1.50694e7 | + | 4.64829e6i | 0.285812 | + | 0.0881614i | ||||
\(53\) | 1.92567e6 | + | 2.56962e7i | 0.0335227 | + | 0.447330i | 0.988558 | + | 0.150839i | \(0.0481974\pi\) |
−0.955036 | + | 0.296491i | \(0.904184\pi\) | |||||||
\(54\) | 1.53867e7 | + | 6.74137e7i | 0.246249 | + | 1.07889i | ||||
\(55\) | 1.12558e7 | − | 2.86793e7i | 0.165861 | − | 0.422607i | ||||
\(56\) | 489870. | − | 6.53686e6i | 0.00665632 | − | 0.0888225i | ||||
\(57\) | 9.66707e7 | − | 1.45708e7i | 1.21299 | − | 0.182829i | ||||
\(58\) | −4.34244e7 | − | 4.02920e7i | −0.503858 | − | 0.467512i | ||||
\(59\) | −1.07136e8 | − | 5.15942e7i | −1.15107 | − | 0.554328i | −0.241718 | − | 0.970347i | \(-0.577711\pi\) |
−0.909356 | + | 0.416019i | \(0.863425\pi\) | |||||||
\(60\) | −4.10816e7 | + | 2.80090e7i | −0.409229 | + | 0.279008i | ||||
\(61\) | −1.18849e6 | − | 3.02822e6i | −0.0109903 | − | 0.0280029i | 0.925273 | − | 0.379301i | \(-0.123836\pi\) |
−0.936264 | + | 0.351298i | \(0.885740\pi\) | |||||||
\(62\) | −7.68984e7 | + | 2.37200e7i | −0.660929 | + | 0.203870i | ||||
\(63\) | −3.64910e6 | + | 3.38587e6i | −0.0291846 | + | 0.0270794i | ||||
\(64\) | −1.41238e7 | + | 1.77107e7i | −0.105231 | + | 0.131955i | ||||
\(65\) | 3.06264e7 | − | 3.84043e7i | 0.212807 | − | 0.266851i | ||||
\(66\) | −1.00583e8 | + | 9.33272e7i | −0.652493 | + | 0.605425i | ||||
\(67\) | 3.48945e7 | − | 1.07635e7i | 0.211554 | − | 0.0652557i | −0.187167 | − | 0.982328i | \(-0.559931\pi\) |
0.398721 | + | 0.917072i | \(0.369454\pi\) | |||||||
\(68\) | 5.47968e7 | + | 1.39620e8i | 0.310789 | + | 0.791877i | ||||
\(69\) | 1.29124e8 | − | 8.80351e7i | 0.685781 | − | 0.467557i | ||||
\(70\) | 3.10379e7 | + | 1.49471e7i | 0.154508 | + | 0.0744072i | ||||
\(71\) | 2.29704e7 | + | 2.13134e7i | 0.107277 | + | 0.0995382i | 0.731988 | − | 0.681318i | \(-0.238593\pi\) |
−0.624711 | + | 0.780856i | \(0.714783\pi\) | |||||||
\(72\) | −2.27206e7 | + | 3.42459e6i | −0.0996379 | + | 0.0150180i | ||||
\(73\) | −3.58064e6 | + | 4.77803e7i | −0.0147573 | + | 0.196923i | 0.984952 | + | 0.172826i | \(0.0552899\pi\) |
−0.999710 | + | 0.0240965i | \(0.992329\pi\) | |||||||
\(74\) | −1.48969e8 | + | 3.79566e8i | −0.577501 | + | 1.47145i | ||||
\(75\) | −3.26708e7 | − | 1.43140e8i | −0.119229 | − | 0.522378i | ||||
\(76\) | 1.52043e7 | + | 2.02887e8i | 0.0522764 | + | 0.697580i | ||||
\(77\) | 3.50381e7 | + | 1.08078e7i | 0.113588 | + | 0.0350373i | ||||
\(78\) | −1.97100e8 | + | 9.49185e7i | −0.602923 | + | 0.290352i | ||||
\(79\) | 1.78280e7 | − | 3.08789e7i | 0.0514967 | − | 0.0891950i | −0.839128 | − | 0.543934i | \(-0.816934\pi\) |
0.890625 | + | 0.454739i | \(0.150267\pi\) | |||||||
\(80\) | 1.61909e8 | + | 2.80435e8i | 0.441944 | + | 0.765469i | ||||
\(81\) | −3.73618e8 | − | 2.54728e8i | −0.964373 | − | 0.657498i | ||||
\(82\) | 1.37599e6 | − | 6.02860e6i | 0.00336088 | − | 0.0147250i | ||||
\(83\) | −1.73815e8 | − | 2.61985e7i | −0.402010 | − | 0.0605933i | −0.0550745 | − | 0.998482i | \(-0.517540\pi\) |
−0.346936 | + | 0.937889i | \(0.612778\pi\) | |||||||
\(84\) | −3.68952e7 | − | 4.62652e7i | −0.0808563 | − | 0.101391i | ||||
\(85\) | 4.67188e8 | 0.970747 | ||||||||
\(86\) | −2.67643e8 | − | 5.89289e8i | −0.527610 | − | 1.16168i | ||||
\(87\) | 3.16951e8 | 0.593138 | ||||||||
\(88\) | 1.05525e8 | + | 1.32324e8i | 0.187578 | + | 0.235215i | ||||
\(89\) | 2.19865e8 | + | 3.31394e7i | 0.371451 | + | 0.0559873i | 0.332115 | − | 0.943239i | \(-0.392238\pi\) |
0.0393358 | + | 0.999226i | \(0.487476\pi\) | |||||||
\(90\) | 2.68700e7 | − | 1.17725e8i | 0.0431694 | − | 0.189137i | ||||
\(91\) | 4.83027e7 | + | 3.29322e7i | 0.0738389 | + | 0.0503425i | ||||
\(92\) | 1.62618e8 | + | 2.81663e8i | 0.236659 | + | 0.409906i | ||||
\(93\) | 2.15286e8 | − | 3.72887e8i | 0.298430 | − | 0.516897i | ||||
\(94\) | 2.47916e8 | − | 1.19390e8i | 0.327514 | − | 0.157722i | ||||
\(95\) | 6.05577e8 | + | 1.86796e8i | 0.762804 | + | 0.235294i | ||||
\(96\) | −7.52625e7 | − | 1.00431e9i | −0.0904395 | − | 1.20683i | ||||
\(97\) | 3.19155e8 | + | 1.39831e9i | 0.366040 | + | 1.60373i | 0.737547 | + | 0.675296i | \(0.235984\pi\) |
−0.371507 | + | 0.928430i | \(0.621159\pi\) | |||||||
\(98\) | 4.10644e8 | − | 1.04630e9i | 0.449726 | − | 1.14588i | ||||
\(99\) | 9.60475e6 | − | 1.28167e8i | 0.0100491 | − | 0.134096i | ||||
\(100\) | 3.02140e8 | − | 4.55403e7i | 0.302140 | − | 0.0455403i | ||||
\(101\) | −9.42890e8 | − | 8.74875e8i | −0.901602 | − | 0.836565i | 0.0855520 | − | 0.996334i | \(-0.472735\pi\) |
−0.987154 | + | 0.159769i | \(0.948925\pi\) | |||||||
\(102\) | −1.87462e9 | − | 9.02768e8i | −1.71479 | − | 0.825801i | ||||
\(103\) | 4.36554e8 | − | 2.97638e8i | 0.382182 | − | 0.260567i | −0.356956 | − | 0.934121i | \(-0.616185\pi\) |
0.739138 | + | 0.673554i | \(0.235233\pi\) | |||||||
\(104\) | 9.85851e7 | + | 2.51191e8i | 0.0826345 | + | 0.210549i | ||||
\(105\) | −1.76132e8 | + | 5.43296e7i | −0.141412 | + | 0.0436199i | ||||
\(106\) | 5.45336e8 | − | 5.05998e8i | 0.419554 | − | 0.389289i | ||||
\(107\) | −6.97889e8 | + | 8.75125e8i | −0.514706 | + | 0.645421i | −0.969476 | − | 0.245188i | \(-0.921150\pi\) |
0.454769 | + | 0.890609i | \(0.349722\pi\) | |||||||
\(108\) | 4.80061e8 | − | 6.01977e8i | 0.339539 | − | 0.425768i | ||||
\(109\) | −9.54224e8 | + | 8.85391e8i | −0.647487 | + | 0.600780i | −0.933990 | − | 0.357299i | \(-0.883698\pi\) |
0.286503 | + | 0.958079i | \(0.407507\pi\) | |||||||
\(110\) | −8.49934e8 | + | 2.62170e8i | −0.553501 | + | 0.170732i | ||||
\(111\) | −7.97054e8 | − | 2.03086e9i | −0.498350 | − | 1.26978i | ||||
\(112\) | −3.18425e8 | + | 2.17098e8i | −0.191217 | + | 0.130369i | ||||
\(113\) | −4.91165e8 | − | 2.36533e8i | −0.283383 | − | 0.136470i | 0.286793 | − | 0.957993i | \(-0.407411\pi\) |
−0.570176 | + | 0.821522i | \(0.693125\pi\) | |||||||
\(114\) | −2.06896e9 | − | 1.91971e9i | −1.14731 | − | 1.06455i | ||||
\(115\) | 1.00174e9 | − | 1.50988e8i | 0.534091 | − | 0.0805012i | ||||
\(116\) | −4.92931e7 | + | 6.57771e8i | −0.0252770 | + | 0.337298i | ||||
\(117\) | 7.48648e7 | − | 1.90753e8i | 0.0369353 | − | 0.0941096i | ||||
\(118\) | 7.63910e8 | + | 3.34691e9i | 0.362722 | + | 1.58919i | ||||
\(119\) | 4.15515e7 | + | 5.54466e8i | 0.0189944 | + | 0.253462i | ||||
\(120\) | −8.12992e8 | − | 2.50775e8i | −0.357907 | − | 0.110400i | ||||
\(121\) | 1.27148e9 | − | 6.12314e8i | 0.539233 | − | 0.259681i | ||||
\(122\) | −4.69581e7 | + | 8.13338e7i | −0.0191907 | + | 0.0332393i | ||||
\(123\) | 1.65427e7 | + | 2.86528e7i | 0.00651679 | + | 0.0112874i | ||||
\(124\) | 7.40373e8 | + | 5.04777e8i | 0.281224 | + | 0.191735i | ||||
\(125\) | 6.46965e8 | − | 2.83454e9i | 0.237020 | − | 1.03845i | ||||
\(126\) | 1.42108e8 | + | 2.14193e7i | 0.0502285 | + | 0.00757073i | ||||
\(127\) | 2.13161e9 | + | 2.67296e9i | 0.727096 | + | 0.911749i | 0.998716 | − | 0.0506553i | \(-0.0161310\pi\) |
−0.271621 | + | 0.962404i | \(0.587560\pi\) | |||||||
\(128\) | −2.68425e9 | −0.883848 | ||||||||
\(129\) | 3.19431e9 | + | 1.33728e9i | 1.01560 | + | 0.425174i | ||||
\(130\) | −1.41811e9 | −0.435477 | ||||||||
\(131\) | 4.92741e8 | + | 6.17878e8i | 0.146183 | + | 0.183308i | 0.849532 | − | 0.527537i | \(-0.176884\pi\) |
−0.703349 | + | 0.710845i | \(0.748313\pi\) | |||||||
\(132\) | 1.51078e9 | + | 2.27714e8i | 0.433131 | + | 0.0652840i | ||||
\(133\) | −1.67832e8 | + | 7.35322e8i | −0.0465097 | + | 0.203772i | ||||
\(134\) | −8.71050e8 | − | 5.93872e8i | −0.233384 | − | 0.159119i | ||||
\(135\) | −1.19914e9 | − | 2.07698e9i | −0.310720 | − | 0.538183i | ||||
\(136\) | −1.28324e9 | + | 2.22264e9i | −0.321649 | + | 0.557113i | ||||
\(137\) | 2.81664e9 | − | 1.35642e9i | 0.683106 | − | 0.328967i | −0.0599444 | − | 0.998202i | \(-0.519092\pi\) |
0.743051 | + | 0.669235i | \(0.233378\pi\) | |||||||
\(138\) | −4.31130e9 | − | 1.32986e9i | −1.01193 | − | 0.312140i | ||||
\(139\) | 5.59084e8 | + | 7.46046e9i | 0.127031 | + | 1.69512i | 0.588931 | + | 0.808183i | \(0.299549\pi\) |
−0.461900 | + | 0.886932i | \(0.652832\pi\) | |||||||
\(140\) | −8.53581e7 | − | 3.73978e8i | −0.0187788 | − | 0.0822754i | ||||
\(141\) | −5.37882e8 | + | 1.37050e9i | −0.114604 | + | 0.292007i | ||||
\(142\) | 6.76040e7 | − | 9.02113e8i | 0.0139532 | − | 0.186193i | ||||
\(143\) | −1.49254e9 | + | 2.24965e8i | −0.298480 | + | 0.0449886i | ||||
\(144\) | 9.90261e8 | + | 9.18827e8i | 0.191919 | + | 0.178075i | ||||
\(145\) | 1.85112e9 | + | 8.91453e8i | 0.347759 | + | 0.167472i | ||||
\(146\) | 1.14292e9 | − | 7.79227e8i | 0.208174 | − | 0.141931i | ||||
\(147\) | 2.19714e9 | + | 5.59823e9i | 0.388088 | + | 0.988832i | ||||
\(148\) | 4.33862e9 | − | 1.33829e9i | 0.743317 | − | 0.229283i | ||||
\(149\) | 2.96627e9 | − | 2.75230e9i | 0.493030 | − | 0.457465i | −0.394045 | − | 0.919091i | \(-0.628924\pi\) |
0.887074 | + | 0.461627i | \(0.152734\pi\) | |||||||
\(150\) | −2.64278e9 | + | 3.31395e9i | −0.426237 | + | 0.534484i | ||||
\(151\) | 2.08814e9 | − | 2.61844e9i | 0.326860 | − | 0.409870i | −0.591064 | − | 0.806624i | \(-0.701292\pi\) |
0.917925 | + | 0.396754i | \(0.129864\pi\) | |||||||
\(152\) | −2.55204e9 | + | 2.36794e9i | −0.387785 | + | 0.359812i | ||||
\(153\) | 1.86238e9 | − | 5.74468e8i | 0.274762 | − | 0.0847529i | ||||
\(154\) | −3.86740e8 | − | 9.85398e8i | −0.0554085 | − | 0.141178i | ||||
\(155\) | 2.30613e9 | − | 1.57230e9i | 0.320916 | − | 0.218797i | ||||
\(156\) | 2.19472e9 | + | 1.05692e9i | 0.296700 | + | 0.142883i | ||||
\(157\) | 7.00098e9 | + | 6.49596e9i | 0.919624 | + | 0.853287i | 0.989539 | − | 0.144266i | \(-0.0460822\pi\) |
−0.0699146 | + | 0.997553i | \(0.522273\pi\) | |||||||
\(158\) | −1.01788e9 | + | 1.53421e8i | −0.129939 | + | 0.0195852i | ||||
\(159\) | −2.97453e8 | + | 3.96923e9i | −0.0369089 | + | 0.492514i | ||||
\(160\) | 2.38514e9 | − | 6.07725e9i | 0.287723 | − | 0.733106i | ||||
\(161\) | 2.68289e8 | + | 1.17545e9i | 0.0314693 | + | 0.137876i | ||||
\(162\) | 9.75577e8 | + | 1.30182e10i | 0.111287 | + | 1.48502i | ||||
\(163\) | −1.33276e9 | − | 4.11102e8i | −0.147879 | − | 0.0456147i | 0.219932 | − | 0.975515i | \(-0.429417\pi\) |
−0.367811 | + | 0.929901i | \(0.619893\pi\) | |||||||
\(164\) | −6.20362e7 | + | 2.98750e7i | −0.00669650 | + | 0.00322486i | ||||
\(165\) | 2.37949e9 | − | 4.12140e9i | 0.249923 | − | 0.432880i | ||||
\(166\) | 2.53735e9 | + | 4.39482e9i | 0.259355 | + | 0.449215i | ||||
\(167\) | −5.72246e9 | − | 3.90151e9i | −0.569323 | − | 0.388158i | 0.244170 | − | 0.969732i | \(-0.421484\pi\) |
−0.813493 | + | 0.581575i | \(0.802437\pi\) | |||||||
\(168\) | 2.25316e8 | − | 9.87175e8i | 0.0218223 | − | 0.0956098i | ||||
\(169\) | 8.10639e9 | + | 1.22184e9i | 0.764429 | + | 0.115219i | ||||
\(170\) | −8.40939e9 | − | 1.05450e10i | −0.772226 | − | 0.968341i | ||||
\(171\) | 2.64374e9 | 0.236448 | ||||||||
\(172\) | −3.27205e9 | + | 6.42121e9i | −0.285063 | + | 0.559421i | ||||
\(173\) | −8.35941e9 | −0.709526 | −0.354763 | − | 0.934956i | \(-0.615438\pi\) | ||||
−0.354763 | + | 0.934956i | \(0.615438\pi\) | |||||||
\(174\) | −5.70513e9 | − | 7.15401e9i | −0.471839 | − | 0.591667i | ||||
\(175\) | 1.12006e9 | + | 1.68822e8i | 0.0902758 | + | 0.0136069i | ||||
\(176\) | 2.21417e9 | − | 9.70092e9i | 0.173942 | − | 0.762089i | ||||
\(177\) | −1.51764e10 | − | 1.03471e10i | −1.16222 | − | 0.792392i | ||||
\(178\) | −3.20958e9 | − | 5.55916e9i | −0.239640 | − | 0.415068i | ||||
\(179\) | −4.60061e9 | + | 7.96849e9i | −0.334947 | + | 0.580146i | −0.983475 | − | 0.181045i | \(-0.942052\pi\) |
0.648527 | + | 0.761191i | \(0.275385\pi\) | |||||||
\(180\) | −1.21143e9 | + | 5.83392e8i | −0.0860143 | + | 0.0414223i | ||||
\(181\) | −1.93820e10 | − | 5.97856e9i | −1.34229 | − | 0.414040i | −0.461326 | − | 0.887231i | \(-0.652626\pi\) |
−0.880960 | + | 0.473190i | \(0.843102\pi\) | |||||||
\(182\) | −1.26126e8 | − | 1.68304e9i | −0.00852087 | − | 0.113703i | ||||
\(183\) | −1.11816e8 | − | 4.89898e8i | −0.00737011 | − | 0.0322906i | ||||
\(184\) | −2.03319e9 | + | 5.18049e9i | −0.130767 | + | 0.333189i | ||||
\(185\) | 1.05686e9 | − | 1.41028e10i | 0.0663354 | − | 0.885184i | ||||
\(186\) | −1.22917e10 | + | 1.85268e9i | −0.753016 | + | 0.113499i | ||||
\(187\) | −1.05236e10 | − | 9.76448e9i | −0.629328 | − | 0.583931i | ||||
\(188\) | −2.76056e9 | − | 1.32941e9i | −0.161171 | − | 0.0776158i | ||||
\(189\) | 2.35834e9 | − | 1.60789e9i | 0.134440 | − | 0.0916596i | ||||
\(190\) | −6.68418e9 | − | 1.70310e10i | −0.372097 | − | 0.948089i | ||||
\(191\) | 9.30623e9 | − | 2.87059e9i | 0.505968 | − | 0.156071i | −0.0312535 | − | 0.999511i | \(-0.509950\pi\) |
0.537222 | + | 0.843441i | \(0.319474\pi\) | |||||||
\(192\) | −2.56505e9 | + | 2.38002e9i | −0.136220 | + | 0.126393i | ||||
\(193\) | 6.74710e9 | − | 8.46060e9i | 0.350033 | − | 0.438928i | −0.575381 | − | 0.817886i | \(-0.695146\pi\) |
0.925414 | + | 0.378958i | \(0.123717\pi\) | |||||||
\(194\) | 2.58169e10 | − | 3.23733e10i | 1.30857 | − | 1.64089i | ||||
\(195\) | 5.56209e9 | − | 5.16086e9i | 0.275475 | − | 0.255603i | ||||
\(196\) | −1.19597e10 | + | 3.68909e9i | −0.578855 | + | 0.178553i | ||||
\(197\) | −4.88061e9 | − | 1.24356e10i | −0.230874 | − | 0.588258i | 0.767747 | − | 0.640753i | \(-0.221378\pi\) |
−0.998621 | + | 0.0524950i | \(0.983283\pi\) | |||||||
\(198\) | −3.06577e9 | + | 2.09021e9i | −0.141758 | + | 0.0966488i | ||||
\(199\) | 2.68795e10 | + | 1.29445e10i | 1.21502 | + | 0.585121i | 0.927919 | − | 0.372781i | \(-0.121596\pi\) |
0.287096 | + | 0.957902i | \(0.407310\pi\) | |||||||
\(200\) | 3.83268e9 | + | 3.55621e9i | 0.169382 | + | 0.157164i | ||||
\(201\) | 5.57766e9 | − | 8.40697e8i | 0.241029 | − | 0.0363293i | ||||
\(202\) | −2.77502e9 | + | 3.70301e10i | −0.117269 | + | 1.56485i | ||||
\(203\) | −8.93352e8 | + | 2.27622e9i | −0.0369225 | + | 0.0940769i | ||||
\(204\) | 5.15543e9 | + | 2.25874e10i | 0.208415 | + | 0.913126i | ||||
\(205\) | 1.60275e7 | + | 2.13872e8i | 0.000633830 | + | 0.00845787i | ||||
\(206\) | −1.45761e10 | − | 4.49612e9i | −0.563946 | − | 0.173954i | ||||
\(207\) | 3.80764e9 | − | 1.83366e9i | 0.144142 | − | 0.0694150i | ||||
\(208\) | 7.93230e9 | − | 1.37391e10i | 0.293842 | − | 0.508950i | ||||
\(209\) | −9.73675e9 | − | 1.68645e10i | −0.352985 | − | 0.611387i | ||||
\(210\) | 4.39668e9 | + | 2.99761e9i | 0.156005 | + | 0.106362i | ||||
\(211\) | −3.26940e9 | + | 1.43242e10i | −0.113553 | + | 0.497506i | 0.885883 | + | 0.463909i | \(0.153553\pi\) |
−0.999435 | + | 0.0335973i | \(0.989304\pi\) | |||||||
\(212\) | −8.19111e9 | − | 1.23461e9i | −0.278504 | − | 0.0419777i | ||||
\(213\) | 3.01786e9 | + | 3.78428e9i | 0.100459 | + | 0.125972i | ||||
\(214\) | 3.23148e10 | 1.05327 | ||||||||
\(215\) | 1.48949e10 | + | 1.67945e10i | 0.475405 | + | 0.536036i | ||||
\(216\) | 1.31749e10 | 0.411819 | ||||||||
\(217\) | 2.07113e9 | + | 2.59712e9i | 0.0634073 | + | 0.0795102i | ||||
\(218\) | 3.71605e10 | + | 5.60105e9i | 1.11437 | + | 0.167964i | ||||
\(219\) | −1.64692e9 | + | 7.21563e9i | −0.0483809 | + | 0.211971i | ||||
\(220\) | 8.18311e9 | + | 5.57915e9i | 0.235514 | + | 0.160571i | ||||
\(221\) | −1.14443e10 | − | 1.98221e10i | −0.322718 | − | 0.558964i | ||||
\(222\) | −3.14922e10 | + | 5.45462e10i | −0.870192 | + | 1.50722i | ||||
\(223\) | 2.59018e10 | − | 1.24736e10i | 0.701387 | − | 0.337770i | −0.0489723 | − | 0.998800i | \(-0.515595\pi\) |
0.750360 | + | 0.661030i | \(0.229880\pi\) | |||||||
\(224\) | 7.42471e9 | + | 2.29022e9i | 0.197044 | + | 0.0607800i | ||||
\(225\) | −2.96708e8 | − | 3.95930e9i | −0.00771806 | − | 0.102990i | ||||
\(226\) | 3.50213e9 | + | 1.53438e10i | 0.0892986 | + | 0.391243i | ||||
\(227\) | −2.35151e10 | + | 5.99154e10i | −0.587800 | + | 1.49769i | 0.259053 | + | 0.965863i | \(0.416590\pi\) |
−0.846853 | + | 0.531827i | \(0.821506\pi\) | |||||||
\(228\) | −2.34857e9 | + | 3.13395e10i | −0.0575568 | + | 0.768042i | ||||
\(229\) | 7.55470e10 | − | 1.13869e10i | 1.81534 | − | 0.273618i | 0.848535 | − | 0.529139i | \(-0.177485\pi\) |
0.966804 | + | 0.255520i | \(0.0822467\pi\) | |||||||
\(230\) | −2.14394e10 | − | 1.98928e10i | −0.505169 | − | 0.468728i | ||||
\(231\) | 5.10298e9 | + | 2.45746e9i | 0.117915 | + | 0.0567850i | ||||
\(232\) | −9.32560e9 | + | 6.35809e9i | −0.211340 | + | 0.144089i | ||||
\(233\) | −1.59324e10 | − | 4.05952e10i | −0.354144 | − | 0.902345i | −0.991301 | − | 0.131611i | \(-0.957985\pi\) |
0.637157 | − | 0.770734i | \(-0.280110\pi\) | |||||||
\(234\) | −5.65311e9 | + | 1.74375e9i | −0.123258 | + | 0.0380201i | ||||
\(235\) | −6.99610e9 | + | 6.49143e9i | −0.149641 | + | 0.138847i | ||||
\(236\) | 2.38337e10 | − | 2.98866e10i | 0.500136 | − | 0.627151i | ||||
\(237\) | 3.43398e9 | − | 4.30608e9i | 0.0707018 | − | 0.0886572i | ||||
\(238\) | 1.17671e10 | − | 1.09183e10i | 0.237724 | − | 0.220576i | ||||
\(239\) | −8.02653e10 | + | 2.47586e10i | −1.59125 | + | 0.490834i | −0.958874 | − | 0.283831i | \(-0.908394\pi\) |
−0.632371 | + | 0.774666i | \(0.717918\pi\) | |||||||
\(240\) | 1.82741e10 | + | 4.65618e10i | 0.355538 | + | 0.905897i | ||||
\(241\) | −7.19158e10 | + | 4.90313e10i | −1.37324 | + | 0.936261i | −0.373280 | + | 0.927719i | \(0.621767\pi\) |
−0.999964 | + | 0.00854233i | \(0.997281\pi\) | |||||||
\(242\) | −3.67075e10 | − | 1.76774e10i | −0.687995 | − | 0.331321i | ||||
\(243\) | −1.66440e10 | − | 1.54434e10i | −0.306218 | − | 0.284129i | ||||
\(244\) | 1.03408e9 | − | 1.55862e8i | 0.0186767 | − | 0.00281505i | ||||
\(245\) | −2.91332e9 | + | 3.88755e10i | −0.0516583 | + | 0.689333i | ||||
\(246\) | 3.48963e8 | − | 8.89143e8i | 0.00607535 | − | 0.0154797i | ||||
\(247\) | −6.90882e9 | − | 3.02695e10i | −0.118105 | − | 0.517451i | ||||
\(248\) | 1.14583e9 | + | 1.52901e10i | 0.0192348 | + | 0.256671i | ||||
\(249\) | −2.59458e10 | − | 8.00322e9i | −0.427730 | − | 0.131937i | ||||
\(250\) | −7.56247e10 | + | 3.64189e10i | −1.22443 | + | 0.589654i | ||||
\(251\) | 3.42448e10 | − | 5.93137e10i | 0.544581 | − | 0.943243i | −0.454052 | − | 0.890975i | \(-0.650022\pi\) |
0.998633 | − | 0.0522673i | \(-0.0166448\pi\) | |||||||
\(252\) | −8.00123e8 | − | 1.38585e9i | −0.0124984 | − | 0.0216479i | ||||
\(253\) | −2.57204e10 | − | 1.75359e10i | −0.394671 | − | 0.269082i | ||||
\(254\) | 2.19631e10 | − | 9.62267e10i | 0.331087 | − | 1.45059i | ||||
\(255\) | 7.13592e10 | + | 1.07557e10i | 1.05686 | + | 0.159297i | ||||
\(256\) | 5.55479e10 | + | 6.96549e10i | 0.808329 | + | 1.01361i | ||||
\(257\) | 1.03218e10 | 0.147590 | 0.0737949 | − | 0.997273i | \(-0.476489\pi\) | ||||
0.0737949 | + | 0.997273i | \(0.476489\pi\) | |||||||
\(258\) | −2.73137e10 | − | 9.61709e10i | −0.383788 | − | 1.35131i | ||||
\(259\) | 1.68315e10 | 0.232420 | ||||||||
\(260\) | 9.84535e9 | + | 1.23457e10i | 0.133614 | + | 0.167546i | ||||
\(261\) | 8.47539e9 | + | 1.27746e9i | 0.113052 | + | 0.0170398i | ||||
\(262\) | 5.07697e9 | − | 2.22436e10i | 0.0665654 | − | 0.291642i | ||||
\(263\) | −8.80928e10 | − | 6.00606e10i | −1.13538 | − | 0.774086i | −0.158387 | − | 0.987377i | \(-0.550629\pi\) |
−0.976989 | + | 0.213291i | \(0.931582\pi\) | |||||||
\(264\) | 1.30717e10 | + | 2.26408e10i | 0.165620 | + | 0.286863i | ||||
\(265\) | −1.29010e10 | + | 2.23453e10i | −0.160701 | + | 0.278342i | ||||
\(266\) | 1.96182e10 | − | 9.44762e9i | 0.240265 | − | 0.115706i | ||||
\(267\) | 3.28198e10 | + | 1.01236e10i | 0.395216 | + | 0.121908i | ||||
\(268\) | 8.77252e8 | + | 1.17061e10i | 0.0103877 | + | 0.138614i | ||||
\(269\) | 2.19351e10 | + | 9.61042e10i | 0.255420 | + | 1.11907i | 0.926087 | + | 0.377310i | \(0.123151\pi\) |
−0.670667 | + | 0.741759i | \(0.733992\pi\) | |||||||
\(270\) | −2.52955e10 | + | 6.44519e10i | −0.289672 | + | 0.738073i | ||||
\(271\) | −7.17594e9 | + | 9.57562e10i | −0.0808196 | + | 1.07846i | 0.798426 | + | 0.602094i | \(0.205667\pi\) |
−0.879245 | + | 0.476370i | \(0.841952\pi\) | |||||||
\(272\) | 1.49202e11 | − | 2.24887e10i | 1.65278 | − | 0.249117i | ||||
\(273\) | 6.61969e9 | + | 6.14217e9i | 0.0721283 | + | 0.0669252i | ||||
\(274\) | −8.13158e10 | − | 3.91596e10i | −0.871560 | − | 0.419721i | ||||
\(275\) | −2.41638e10 | + | 1.64746e10i | −0.254782 | + | 0.173707i | ||||
\(276\) | 1.83541e10 | + | 4.67656e10i | 0.190390 | + | 0.485105i | ||||
\(277\) | −1.11093e11 | + | 3.42678e10i | −1.13378 | + | 0.349725i | −0.804174 | − | 0.594394i | \(-0.797392\pi\) |
−0.329606 | + | 0.944119i | \(0.606916\pi\) | |||||||
\(278\) | 1.58329e11 | − | 1.46908e11i | 1.58986 | − | 1.47517i | ||||
\(279\) | 7.25975e9 | − | 9.10343e9i | 0.0717303 | − | 0.0899469i | ||||
\(280\) | 4.09246e9 | − | 5.13178e9i | 0.0397899 | − | 0.0498950i | ||||
\(281\) | −1.91809e10 | + | 1.77972e10i | −0.183523 | + | 0.170284i | −0.766584 | − | 0.642144i | \(-0.778045\pi\) |
0.583061 | + | 0.812428i | \(0.301855\pi\) | |||||||
\(282\) | 4.06159e10 | − | 1.25283e10i | 0.382450 | − | 0.117970i | ||||
\(283\) | −4.14381e10 | − | 1.05583e11i | −0.384026 | − | 0.978483i | −0.983953 | − | 0.178428i | \(-0.942899\pi\) |
0.599927 | − | 0.800055i | \(-0.295196\pi\) | |||||||
\(284\) | −8.32288e9 | + | 5.67445e9i | −0.0759174 | + | 0.0517596i | ||||
\(285\) | 8.81966e10 | + | 4.24733e10i | 0.791863 | + | 0.381341i | ||||
\(286\) | 3.19436e10 | + | 2.96393e10i | 0.282317 | + | 0.261952i | ||||
\(287\) | −2.52401e8 | + | 3.80433e7i | −0.00219595 | + | 0.000330986i | ||||
\(288\) | 2.03528e9 | − | 2.71590e10i | 0.0174324 | − | 0.232620i | ||||
\(289\) | 3.62070e10 | − | 9.22540e10i | 0.305318 | − | 0.777938i | ||||
\(290\) | −1.31990e10 | − | 5.78284e10i | −0.109584 | − | 0.480121i | ||||
\(291\) | 1.65563e10 | + | 2.20928e11i | 0.135346 | + | 1.80606i | ||||
\(292\) | −1.47185e10 | − | 4.54006e9i | −0.118479 | − | 0.0365459i | ||||
\(293\) | −5.52910e10 | + | 2.66268e10i | −0.438279 | + | 0.211064i | −0.639993 | − | 0.768380i | \(-0.721063\pi\) |
0.201715 | + | 0.979444i | \(0.435349\pi\) | |||||||
\(294\) | 8.68108e10 | − | 1.50361e11i | 0.677658 | − | 1.17374i | ||||
\(295\) | −5.95343e10 | − | 1.03116e11i | −0.457686 | − | 0.792736i | ||||
\(296\) | 6.41910e10 | + | 4.37647e10i | 0.486028 | + | 0.331369i | ||||
\(297\) | −1.63987e10 | + | 7.18476e10i | −0.122294 | + | 0.535807i | ||||
\(298\) | −1.15516e11 | − | 1.74112e10i | −0.848534 | − | 0.127896i | ||||
\(299\) | −3.09450e10 | − | 3.88038e10i | −0.223908 | − | 0.280772i | ||||
\(300\) | 4.71980e10 | 0.336417 | ||||||||
\(301\) | −1.86072e10 | + | 1.91712e10i | −0.130657 | + | 0.134617i | ||||
\(302\) | −9.66882e10 | −0.668870 | ||||||||
\(303\) | −1.23878e11 | − | 1.55338e11i | −0.844308 | − | 1.05873i | ||||
\(304\) | 2.02391e11 | + | 3.05055e10i | 1.35912 | + | 0.204855i | ||||
\(305\) | 7.24831e8 | − | 3.17569e9i | 0.00479609 | − | 0.0210130i | ||||
\(306\) | −4.64894e10 | − | 3.16959e10i | −0.303115 | − | 0.206660i | ||||
\(307\) | −1.39845e11 | − | 2.42218e11i | −0.898511 | − | 1.55627i | −0.829398 | − | 0.558658i | \(-0.811316\pi\) |
−0.0691135 | − | 0.997609i | \(-0.522017\pi\) | |||||||
\(308\) | −5.89362e9 | + | 1.02081e10i | −0.0373168 | + | 0.0646345i | ||||
\(309\) | 7.35325e10 | − | 3.54114e10i | 0.458845 | − | 0.220968i | ||||
\(310\) | −7.69993e10 | − | 2.37511e10i | −0.473543 | − | 0.146069i | ||||
\(311\) | 3.75363e9 | + | 5.00887e10i | 0.0227525 | + | 0.303611i | 0.996958 | + | 0.0779464i | \(0.0248363\pi\) |
−0.974205 | + | 0.225665i | \(0.927545\pi\) | |||||||
\(312\) | 9.27514e9 | + | 4.06371e10i | 0.0554147 | + | 0.242788i | ||||
\(313\) | −7.56128e10 | + | 1.92658e11i | −0.445293 | + | 1.13459i | 0.515394 | + | 0.856954i | \(0.327646\pi\) |
−0.960687 | + | 0.277635i | \(0.910450\pi\) | |||||||
\(314\) | 2.06046e10 | − | 2.74949e11i | 0.119614 | − | 1.59613i | ||||
\(315\) | −4.92882e9 | + | 7.42900e8i | −0.0282063 | + | 0.00425141i | ||||
\(316\) | 8.40237e9 | + | 7.79626e9i | 0.0474034 | + | 0.0439840i | ||||
\(317\) | 1.44515e10 | + | 6.95949e9i | 0.0803799 | + | 0.0387089i | 0.473642 | − | 0.880718i | \(-0.342939\pi\) |
−0.393262 | + | 0.919426i | \(0.628653\pi\) | |||||||
\(318\) | 9.49449e10 | − | 6.47323e10i | 0.520655 | − | 0.354976i | ||||
\(319\) | −2.30654e10 | − | 5.87698e10i | −0.124711 | − | 0.317758i | ||||
\(320\) | −2.16749e10 | + | 6.68582e9i | −0.115553 | + | 0.0356435i | ||||
\(321\) | −1.26744e11 | + | 1.17602e11i | −0.666279 | + | 0.618216i | ||||
\(322\) | 2.17023e10 | − | 2.72138e10i | 0.112501 | − | 0.141071i | ||||
\(323\) | 1.84114e11 | − | 2.30872e11i | 0.941187 | − | 1.18021i | ||||
\(324\) | 1.06559e11 | − | 9.88727e10i | 0.537204 | − | 0.498453i | ||||
\(325\) | −4.45566e10 | + | 1.37439e10i | −0.221532 | + | 0.0683337i | ||||
\(326\) | 1.47106e10 | + | 3.74820e10i | 0.0721358 | + | 0.183799i | ||||
\(327\) | −1.66134e11 | + | 1.13268e11i | −0.803514 | + | 0.547826i | ||||
\(328\) | −1.06151e9 | − | 5.11198e8i | −0.00506400 | − | 0.00243869i | ||||
\(329\) | −8.32636e9 | − | 7.72573e9i | −0.0391808 | − | 0.0363545i | ||||
\(330\) | −1.35856e11 | + | 2.04771e10i | −0.630620 | + | 0.0950507i | ||||
\(331\) | −2.16777e9 | + | 2.89269e10i | −0.00992631 | + | 0.132457i | −0.999965 | − | 0.00833642i | \(-0.997346\pi\) |
0.990039 | + | 0.140794i | \(0.0449655\pi\) | |||||||
\(332\) | 2.06443e10 | − | 5.26008e10i | 0.0932564 | − | 0.237613i | ||||
\(333\) | −1.31282e10 | − | 5.75185e10i | −0.0585069 | − | 0.256336i | ||||
\(334\) | 1.49423e10 | + | 1.99391e11i | 0.0656988 | + | 0.876690i | ||||
\(335\) | 3.49403e10 | + | 1.07777e10i | 0.151574 | + | 0.0467544i | ||||
\(336\) | −5.36349e10 | + | 2.58292e10i | −0.229573 | + | 0.110557i | ||||
\(337\) | −2.34296e11 | + | 4.05813e11i | −0.989534 | + | 1.71392i | −0.369799 | + | 0.929112i | \(0.620573\pi\) |
−0.619735 | + | 0.784811i | \(0.712760\pi\) | |||||||
\(338\) | −1.18337e11 | − | 2.04965e11i | −0.493167 | − | 0.854191i | ||||
\(339\) | −6.95761e10 | − | 4.74362e10i | −0.286129 | − | 0.195079i | ||||
\(340\) | −3.34193e10 | + | 1.46420e11i | −0.135626 | + | 0.594216i | ||||
\(341\) | −8.48085e10 | − | 1.27828e10i | −0.339660 | − | 0.0511956i | ||||
\(342\) | −4.75874e10 | − | 5.96727e10i | −0.188094 | − | 0.235862i | ||||
\(343\) | −9.44868e10 | −0.368594 | ||||||||
\(344\) | −1.20812e11 | + | 2.47320e10i | −0.465154 | + | 0.0952240i | ||||
\(345\) | 1.56484e11 | 0.594681 | ||||||||
\(346\) | 1.50470e11 | + | 1.88683e11i | 0.564425 | + | 0.707767i | ||||
\(347\) | 3.52675e11 | + | 5.31573e10i | 1.30585 | + | 0.196825i | 0.764855 | − | 0.644202i | \(-0.222811\pi\) |
0.540993 | + | 0.841027i | \(0.318049\pi\) | |||||||
\(348\) | −2.26724e10 | + | 9.93345e10i | −0.0828689 | + | 0.363072i | ||||
\(349\) | −3.96762e10 | − | 2.70508e10i | −0.143158 | − | 0.0976034i | 0.489623 | − | 0.871934i | \(-0.337134\pi\) |
−0.632781 | + | 0.774331i | \(0.718087\pi\) | |||||||
\(350\) | −1.63506e10 | − | 2.83201e10i | −0.0582409 | − | 0.100876i | ||||
\(351\) | −5.87487e10 | + | 1.01756e11i | −0.206593 | + | 0.357830i | ||||
\(352\) | −1.80744e11 | + | 8.70418e10i | −0.627512 | + | 0.302194i | ||||
\(353\) | 5.19732e11 | + | 1.60316e11i | 1.78153 | + | 0.549530i | 0.997466 | − | 0.0711489i | \(-0.0226665\pi\) |
0.784065 | + | 0.620678i | \(0.213143\pi\) | |||||||
\(354\) | 3.96282e10 | + | 5.28801e11i | 0.134119 | + | 1.78969i | ||||
\(355\) | 6.98190e9 | + | 3.05897e10i | 0.0233317 | + | 0.102223i | ||||
\(356\) | −2.61137e10 | + | 6.65366e10i | −0.0861675 | + | 0.219551i | ||||
\(357\) | −6.41835e9 | + | 8.56469e10i | −0.0209130 | + | 0.279064i | ||||
\(358\) | 2.62670e11 | − | 3.95912e10i | 0.845157 | − | 0.127387i | ||||
\(359\) | −1.34519e11 | − | 1.24815e11i | −0.427423 | − | 0.396591i | 0.436914 | − | 0.899503i | \(-0.356071\pi\) |
−0.864337 | + | 0.502913i | \(0.832262\pi\) | |||||||
\(360\) | −2.07290e10 | − | 9.98255e9i | −0.0650454 | − | 0.0313242i | ||||
\(361\) | 6.43444e10 | − | 4.38693e10i | 0.199402 | − | 0.135950i | ||||
\(362\) | 2.13933e11 | + | 5.45092e11i | 0.654770 | + | 1.66833i | ||||
\(363\) | 2.08306e11 | − | 6.42538e10i | 0.629682 | − | 0.194231i | ||||
\(364\) | −1.37764e10 | + | 1.27826e10i | −0.0411320 | + | 0.0381649i | ||||
\(365\) | −2.99133e10 | + | 3.75101e10i | −0.0882157 | + | 0.110619i | ||||
\(366\) | −9.04495e9 | + | 1.13420e10i | −0.0263476 | + | 0.0330389i | ||||
\(367\) | 2.96708e11 | − | 2.75305e11i | 0.853752 | − | 0.792166i | −0.126073 | − | 0.992021i | \(-0.540237\pi\) |
0.979826 | + | 0.199855i | \(0.0640470\pi\) | |||||||
\(368\) | 3.12651e11 | − | 9.64400e10i | 0.888678 | − | 0.274121i | ||||
\(369\) | 3.26874e8 | + | 8.32862e8i | 0.000917830 | + | 0.00233859i | ||||
\(370\) | −3.37343e11 | + | 2.29997e11i | −0.935759 | + | 0.637990i | ||||
\(371\) | −2.76671e10 | − | 1.33238e10i | −0.0758196 | − | 0.0365128i | ||||
\(372\) | 1.01465e11 | + | 9.41458e10i | 0.274709 | + | 0.254893i | ||||
\(373\) | 5.99912e11 | − | 9.04222e10i | 1.60471 | − | 0.241872i | 0.715247 | − | 0.698871i | \(-0.246314\pi\) |
0.889467 | + | 0.457000i | \(0.151076\pi\) | |||||||
\(374\) | −3.09720e10 | + | 4.13293e11i | −0.0818554 | + | 1.09228i | ||||
\(375\) | 1.64076e11 | − | 4.18059e11i | 0.428454 | − | 1.09168i | ||||
\(376\) | −1.16664e10 | − | 5.11140e10i | −0.0301019 | − | 0.131885i | ||||
\(377\) | −7.52225e9 | − | 1.00377e11i | −0.0191784 | − | 0.255918i | ||||
\(378\) | −7.87424e10 | − | 2.42888e10i | −0.198379 | − | 0.0611918i | ||||
\(379\) | 4.91562e11 | − | 2.36724e11i | 1.22377 | − | 0.589339i | 0.293415 | − | 0.955985i | \(-0.405208\pi\) |
0.930360 | + | 0.366646i | \(0.119494\pi\) | |||||||
\(380\) | −1.01862e11 | + | 1.76430e11i | −0.250602 | + | 0.434055i | ||||
\(381\) | 2.64050e11 | + | 4.57348e11i | 0.641983 | + | 1.11195i | ||||
\(382\) | −2.32305e11 | − | 1.58383e11i | −0.558180 | − | 0.380561i | ||||
\(383\) | 1.47553e11 | − | 6.46472e11i | 0.350392 | − | 1.53517i | −0.425887 | − | 0.904776i | \(-0.640038\pi\) |
0.776279 | − | 0.630390i | \(-0.217105\pi\) | |||||||
\(384\) | −4.09998e11 | − | 6.17972e10i | −0.962256 | − | 0.145037i | ||||
\(385\) | 2.28916e10 | + | 2.87051e10i | 0.0531010 | + | 0.0665865i | ||||
\(386\) | −3.12415e11 | −0.716290 | ||||||||
\(387\) | 8.00274e10 | + | 4.86338e10i | 0.181359 | + | 0.110215i | ||||
\(388\) | −4.61069e11 | −1.03282 | ||||||||
\(389\) | −2.24000e11 | − | 2.80888e11i | −0.495993 | − | 0.621955i | 0.469327 | − | 0.883024i | \(-0.344496\pi\) |
−0.965320 | + | 0.261069i | \(0.915925\pi\) | |||||||
\(390\) | −2.16605e11 | − | 3.26480e10i | −0.474109 | − | 0.0714605i | ||||
\(391\) | 1.05040e11 | − | 4.60212e11i | 0.227280 | − | 0.995778i | ||||
\(392\) | −1.76948e11 | − | 1.20641e11i | −0.378492 | − | 0.258052i | ||||
\(393\) | 6.10374e10 | + | 1.05720e11i | 0.129071 | + | 0.223558i | ||||
\(394\) | −1.92837e11 | + | 3.34003e11i | −0.403140 | + | 0.698260i | ||||
\(395\) | 3.21670e10 | − | 1.54908e10i | 0.0664851 | − | 0.0320175i | ||||
\(396\) | 3.94811e10 | + | 1.21783e10i | 0.0806792 | + | 0.0248862i | ||||
\(397\) | 4.58703e10 | + | 6.12096e11i | 0.0926774 | + | 1.23669i | 0.828683 | + | 0.559719i | \(0.189091\pi\) |
−0.736005 | + | 0.676976i | \(0.763290\pi\) | |||||||
\(398\) | −1.91657e11 | − | 8.39706e11i | −0.382871 | − | 1.67747i | ||||
\(399\) | −4.25638e10 | + | 1.08451e11i | −0.0840741 | + | 0.214217i | ||||
\(400\) | 2.29710e10 | − | 3.06526e11i | 0.0448652 | − | 0.598684i | ||||
\(401\) | −3.97299e11 | + | 5.98832e10i | −0.767304 | + | 0.115653i | −0.521019 | − | 0.853545i | \(-0.674448\pi\) |
−0.246285 | + | 0.969197i | \(0.579210\pi\) | |||||||
\(402\) | −1.19374e11 | − | 1.10763e11i | −0.227977 | − | 0.211532i | ||||
\(403\) | −1.23202e11 | − | 5.93307e10i | −0.232672 | − | 0.112049i | ||||
\(404\) | 3.41639e11 | − | 2.32926e11i | 0.638045 | − | 0.435012i | ||||
\(405\) | −1.65421e11 | − | 4.21485e11i | −0.305522 | − | 0.778457i | ||||
\(406\) | 6.74578e10 | − | 2.08080e10i | 0.123215 | − | 0.0380069i | ||||
\(407\) | −3.18563e11 | + | 2.95583e11i | −0.575467 | + | 0.533956i | ||||
\(408\) | −2.47175e11 | + | 3.09947e11i | −0.441604 | + | 0.553754i | ||||
\(409\) | 4.73267e10 | − | 5.93458e10i | 0.0836279 | − | 0.104866i | −0.738257 | − | 0.674519i | \(-0.764351\pi\) |
0.821885 | + | 0.569653i | \(0.192922\pi\) | |||||||
\(410\) | 4.53887e9 | − | 4.21146e9i | 0.00793269 | − | 0.00736047i | ||||
\(411\) | 4.61447e11 | − | 1.42338e11i | 0.797689 | − | 0.246054i | ||||
\(412\) | 6.20535e10 | + | 1.58110e11i | 0.106103 | + | 0.270347i | ||||
\(413\) | 1.17085e11 | − | 7.98273e10i | 0.198028 | − | 0.135013i | ||||
\(414\) | −1.09926e11 | − | 5.29375e10i | −0.183907 | − | 0.0885650i | ||||
\(415\) | −1.29024e11 | − | 1.19717e11i | −0.213528 | − | 0.198125i | ||||
\(416\) | −3.16275e11 | + | 4.76708e10i | −0.517780 | + | 0.0780428i | ||||
\(417\) | −8.63603e10 | + | 1.15240e12i | −0.139863 | + | 1.86634i | ||||
\(418\) | −2.05393e11 | + | 5.23334e11i | −0.329074 | + | 0.838466i | ||||
\(419\) | −1.73107e11 | − | 7.58432e11i | −0.274380 | − | 1.20214i | −0.904785 | − | 0.425869i | \(-0.859968\pi\) |
0.630405 | − | 0.776266i | \(-0.282889\pi\) | |||||||
\(420\) | −4.42798e9 | − | 5.90873e10i | −0.00694359 | − | 0.0926558i | ||||
\(421\) | 7.87198e11 | + | 2.42818e11i | 1.22128 | + | 0.376714i | 0.837360 | − | 0.546652i | \(-0.184098\pi\) |
0.383919 | + | 0.923367i | \(0.374574\pi\) | |||||||
\(422\) | 3.82165e11 | − | 1.84041e11i | 0.586604 | − | 0.282493i | ||||
\(423\) | −1.99069e10 | + | 3.44798e10i | −0.0302324 | + | 0.0523640i | ||||
\(424\) | −7.08715e10 | − | 1.22753e11i | −0.106494 | − | 0.184453i | ||||
\(425\) | −3.66420e11 | − | 2.49821e11i | −0.544789 | − | 0.371431i | ||||
\(426\) | 3.10946e10 | − | 1.36234e11i | 0.0457448 | − | 0.200421i | ||||
\(427\) | 3.83343e9 | + | 5.77796e8i | 0.00558035 | + | 0.000841103i | ||||
\(428\) | −2.24348e11 | − | 2.81323e11i | −0.323165 | − | 0.405237i | ||||
\(429\) | −2.33153e11 | −0.332341 | ||||||||
\(430\) | 1.10966e11 | − | 6.38499e11i | 0.156525 | − | 0.900641i | ||||
\(431\) | −6.21315e11 | −0.867289 | −0.433645 | − | 0.901084i | \(-0.642773\pi\) | ||||
−0.433645 | + | 0.901084i | \(0.642773\pi\) | |||||||
\(432\) | −4.82940e11 | − | 6.05588e11i | −0.667139 | − | 0.836566i | ||||
\(433\) | −5.30334e11 | − | 7.99350e10i | −0.725027 | − | 0.109280i | −0.223848 | − | 0.974624i | \(-0.571862\pi\) |
−0.501179 | + | 0.865344i | \(0.667100\pi\) | |||||||
\(434\) | 2.13399e10 | − | 9.34964e10i | 0.0288728 | − | 0.126500i | ||||
\(435\) | 2.62221e11 | + | 1.78779e11i | 0.351128 | + | 0.239395i | ||||
\(436\) | −2.09229e11 | − | 3.62395e11i | −0.277288 | − | 0.480278i | ||||
\(437\) | 3.20162e11 | − | 5.54537e11i | 0.419955 | − | 0.727384i | ||||
\(438\) | 1.92511e11 | − | 9.27084e10i | 0.249932 | − | 0.120361i | ||||
\(439\) | 6.73970e11 | + | 2.07892e11i | 0.866065 | + | 0.267146i | 0.695785 | − | 0.718250i | \(-0.255057\pi\) |
0.170280 | + | 0.985396i | \(0.445533\pi\) | |||||||
\(440\) | 1.26645e10 | + | 1.68996e11i | 0.0161084 | + | 0.214952i | ||||
\(441\) | 3.61890e10 | + | 1.58554e11i | 0.0455620 | + | 0.199620i | ||||
\(442\) | −2.41413e11 | + | 6.15111e11i | −0.300858 | + | 0.766573i | ||||
\(443\) | 1.86829e10 | − | 2.49306e11i | 0.0230477 | − | 0.307550i | −0.973752 | − | 0.227611i | \(-0.926909\pi\) |
0.996800 | − | 0.0799386i | \(-0.0254724\pi\) | |||||||
\(444\) | 6.93501e11 | − | 1.04528e11i | 0.846883 | − | 0.127647i | ||||
\(445\) | 1.63207e11 | + | 1.51434e11i | 0.197296 | + | 0.183064i | ||||
\(446\) | −7.47780e11 | − | 3.60112e11i | −0.894884 | − | 0.430954i | ||||
\(447\) | 5.16439e11 | − | 3.52102e11i | 0.611836 | − | 0.417143i | ||||
\(448\) | −9.86259e9 | − | 2.51295e10i | −0.0115675 | − | 0.0294735i | ||||
\(449\) | −7.89103e11 | + | 2.43406e11i | −0.916274 | + | 0.282633i | −0.716807 | − | 0.697272i | \(-0.754397\pi\) |
−0.199467 | + | 0.979905i | \(0.563921\pi\) | |||||||
\(450\) | −8.40258e10 | + | 7.79646e10i | −0.0965954 | + | 0.0896274i | ||||
\(451\) | 4.10901e9 | − | 5.15254e9i | 0.00467674 | − | 0.00586444i | ||||
\(452\) | 1.09265e11 | − | 1.37014e11i | 0.123129 | − | 0.154399i | ||||
\(453\) | 3.79228e11 | − | 3.51872e11i | 0.423115 | − | 0.392594i | ||||
\(454\) | 1.77564e12 | − | 5.47713e11i | 1.96157 | − | 0.605065i | ||||
\(455\) | 2.13862e10 | + | 5.44912e10i | 0.0233928 | + | 0.0596039i | ||||
\(456\) | −4.44319e11 | + | 3.02931e11i | −0.481230 | + | 0.328097i | ||||
\(457\) | 8.13068e11 | + | 3.91553e11i | 0.871974 | + | 0.419921i | 0.815687 | − | 0.578494i | \(-0.196359\pi\) |
0.0562876 | + | 0.998415i | \(0.482074\pi\) | |||||||
\(458\) | −1.61687e12 | − | 1.50023e12i | −1.71704 | − | 1.59318i | ||||
\(459\) | −1.10503e12 | + | 1.66557e11i | −1.16203 | + | 0.175148i | ||||
\(460\) | −2.43368e10 | + | 3.24752e11i | −0.0253428 | + | 0.338176i | ||||
\(461\) | −3.46003e11 | + | 8.81602e11i | −0.356801 | + | 0.909114i | 0.633944 | + | 0.773379i | \(0.281435\pi\) |
−0.990745 | + | 0.135735i | \(0.956660\pi\) | |||||||
\(462\) | −3.63855e10 | − | 1.59415e11i | −0.0371569 | − | 0.162795i | ||||
\(463\) | −2.35956e10 | − | 3.14861e11i | −0.0238625 | − | 0.318423i | −0.996343 | − | 0.0854401i | \(-0.972770\pi\) |
0.972481 | − | 0.232983i | \(-0.0748487\pi\) | |||||||
\(464\) | 6.34091e11 | + | 1.95591e11i | 0.635068 | + | 0.195893i | ||||
\(465\) | 3.88441e11 | − | 1.87064e11i | 0.385290 | − | 0.185546i | ||||
\(466\) | −6.29503e11 | + | 1.09033e12i | −0.618388 | + | 1.07108i | ||||
\(467\) | 7.23019e10 | + | 1.25231e11i | 0.0703435 | + | 0.121838i | 0.899052 | − | 0.437842i | \(-0.144257\pi\) |
−0.828708 | + | 0.559681i | \(0.810924\pi\) | |||||||
\(468\) | 5.44277e10 | + | 3.71082e10i | 0.0524462 | + | 0.0357572i | ||||
\(469\) | −9.68352e9 | + | 4.24263e10i | −0.00924178 | + | 0.0404909i | ||||
\(470\) | 2.72450e11 | + | 4.10653e10i | 0.257541 | + | 0.0388181i | ||||
\(471\) | 9.19794e11 | + | 1.15338e12i | 0.861185 | + | 1.07989i | ||||
\(472\) | 6.54099e11 | 0.606603 | ||||||||
\(473\) | 1.55011e10 | − | 6.89615e11i | 0.0142393 | − | 0.633478i | ||||
\(474\) | −1.59006e11 | −0.144680 | ||||||||
\(475\) | −3.75074e11 | − | 4.70328e11i | −0.338061 | − | 0.423916i | ||||
\(476\) | −1.76745e11 | − | 2.66401e10i | −0.157804 | − | 0.0237851i | ||||
\(477\) | −2.39518e10 | + | 1.04940e11i | −0.0211839 | + | 0.0928128i | ||||
\(478\) | 2.00361e12 | + | 1.36604e12i | 1.75545 | + | 1.19684i | ||||
\(479\) | 2.55443e11 | + | 4.42440e11i | 0.221709 | + | 0.384012i | 0.955327 | − | 0.295551i | \(-0.0955031\pi\) |
−0.733618 | + | 0.679562i | \(0.762170\pi\) | |||||||
\(480\) | 5.04223e11 | − | 8.73340e11i | 0.433548 | − | 0.750927i | ||||
\(481\) | −6.24251e11 | + | 3.00624e11i | −0.531749 | + | 0.256077i | ||||
\(482\) | 2.40119e12 | + | 7.40669e11i | 2.02635 | + | 0.625046i | ||||
\(483\) | 1.39176e10 | + | 1.85718e11i | 0.0116360 | + | 0.155271i | ||||
\(484\) | 1.00950e11 | + | 4.42291e11i | 0.0836186 | + | 0.366357i | ||||
\(485\) | −5.24685e11 | + | 1.33687e12i | −0.430587 | + | 1.09712i | ||||
\(486\) | −4.89851e10 | + | 6.53660e11i | −0.0398291 | + | 0.531482i | ||||
\(487\) | −6.10829e11 | + | 9.20676e10i | −0.492084 | + | 0.0741697i | −0.390397 | − | 0.920647i | \(-0.627662\pi\) |
−0.101687 | + | 0.994816i | \(0.532424\pi\) | |||||||
\(488\) | 1.31174e10 | + | 1.21711e10i | 0.0104703 | + | 0.00971499i | ||||
\(489\) | −1.94104e11 | − | 9.34755e10i | −0.153513 | − | 0.0739278i | ||||
\(490\) | 9.29912e11 | − | 6.34003e11i | 0.728718 | − | 0.496832i | ||||
\(491\) | 3.91873e11 | + | 9.98477e11i | 0.304284 | + | 0.775303i | 0.998459 | + | 0.0554965i | \(0.0176742\pi\) |
−0.694175 | + | 0.719806i | \(0.744231\pi\) | |||||||
\(492\) | −1.01633e10 | + | 3.13497e9i | −0.00781975 | + | 0.00241207i | ||||
\(493\) | 7.01798e11 | − | 6.51173e11i | 0.535058 | − | 0.496461i | ||||
\(494\) | −5.58864e11 | + | 7.00793e11i | −0.422216 | + | 0.529442i | ||||
\(495\) | 8.02397e10 | − | 1.00617e11i | 0.0600712 | − | 0.0753269i | ||||
\(496\) | 6.60810e11 | − | 6.13142e11i | 0.490240 | − | 0.454876i | ||||
\(497\) | −3.56834e10 | + | 1.10069e10i | −0.0262338 | + | 0.00809207i | ||||
\(498\) | 2.86382e11 | + | 7.29689e11i | 0.208648 | + | 0.531626i | ||||
\(499\) | −1.36395e12 | + | 9.29926e11i | −0.984797 | + | 0.671423i | −0.944756 | − | 0.327775i | \(-0.893701\pi\) |
−0.0400408 | + | 0.999198i | \(0.512749\pi\) | |||||||
\(500\) | 8.42083e11 | + | 4.05526e11i | 0.602546 | + | 0.290171i | ||||
\(501\) | −7.84239e11 | − | 7.27668e11i | −0.556133 | − | 0.516016i | ||||
\(502\) | −1.95520e12 | + | 2.94699e11i | −1.37412 | + | 0.207115i | ||||
\(503\) | −3.41194e10 | + | 4.55291e11i | −0.0237654 | + | 0.317127i | 0.972634 | + | 0.232343i | \(0.0746392\pi\) |
−0.996399 | + | 0.0847843i | \(0.972980\pi\) | |||||||
\(504\) | 1.00038e10 | − | 2.54893e10i | 0.00690603 | − | 0.0175963i | ||||
\(505\) | −2.86594e11 | − | 1.25565e12i | −0.196090 | − | 0.859127i | ||||
\(506\) | 6.71601e10 | + | 8.96189e11i | 0.0455443 | + | 0.607746i | ||||
\(507\) | 1.21006e12 | + | 3.73253e11i | 0.813337 | + | 0.250881i | ||||
\(508\) | −9.90202e11 | + | 4.76856e11i | −0.659686 | + | 0.317688i | ||||
\(509\) | −1.23211e12 | + | 2.13408e12i | −0.813617 | + | 1.40923i | 0.0966995 | + | 0.995314i | \(0.469171\pi\) |
−0.910317 | + | 0.413913i | \(0.864162\pi\) | |||||||
\(510\) | −1.04170e12 | − | 1.80428e12i | −0.681830 | − | 1.18096i | ||||
\(511\) | −4.71780e10 | − | 3.21654e10i | −0.0306087 | − | 0.0208687i | ||||
\(512\) | 2.66521e11 | − | 1.16771e12i | 0.171402 | − | 0.750963i | ||||
\(513\) | −1.49896e12 | − | 2.25932e11i | −0.955568 | − | 0.144029i | ||||
\(514\) | −1.85793e11 | − | 2.32977e11i | −0.117407 | − | 0.147224i | ||||
\(515\) | 5.29057e11 | 0.331413 | ||||||||
\(516\) | −6.47609e11 | + | 9.05459e11i | −0.402151 | + | 0.562270i | ||||
\(517\) | 2.93265e11 | 0.180531 | ||||||||
\(518\) | −3.02967e11 | − | 3.79908e11i | −0.184889 | − | 0.231844i | ||||
\(519\) | −1.27683e12 | − | 1.92452e11i | −0.772470 | − | 0.116431i | ||||
\(520\) | −6.01248e10 | + | 2.63424e11i | −0.0360611 | + | 0.157994i | ||||
\(521\) | 8.83100e11 | + | 6.02087e11i | 0.525097 | + | 0.358005i | 0.796672 | − | 0.604412i | \(-0.206592\pi\) |
−0.271574 | + | 0.962417i | \(0.587544\pi\) | |||||||
\(522\) | −1.23723e11 | − | 2.14295e11i | −0.0729348 | − | 0.126327i | ||||
\(523\) | 1.05855e12 | − | 1.83346e12i | 0.618663 | − | 1.07156i | −0.371067 | − | 0.928606i | \(-0.621008\pi\) |
0.989730 | − | 0.142950i | \(-0.0456588\pi\) | |||||||
\(524\) | −2.28894e11 | + | 1.10230e11i | −0.132631 | + | 0.0638715i | ||||
\(525\) | 1.67194e11 | + | 5.15726e10i | 0.0960515 | + | 0.0296280i | ||||
\(526\) | 2.30025e11 | + | 3.06947e12i | 0.131020 | + | 1.74834i | ||||
\(527\) | −2.89402e11 | − | 1.26795e12i | −0.163439 | − | 0.716071i | ||||
\(528\) | 5.61533e11 | − | 1.43076e12i | 0.314429 | − | 0.801152i | ||||
\(529\) | −5.81071e10 | + | 7.75385e11i | −0.0322611 | + | 0.430494i | ||||
\(530\) | 7.36582e11 | − | 1.11022e11i | 0.405489 | − | 0.0611177i | ||||
\(531\) | −3.64120e11 | − | 3.37854e11i | −0.198756 | − | 0.184418i | ||||
\(532\) | −2.18449e11 | − | 1.05199e11i | −0.118235 | − | 0.0569392i | ||||
\(533\) | 8.68165e9 | − | 5.91905e9i | 0.00465940 | − | 0.00317672i | ||||
\(534\) | −3.62255e11 | − | 9.23010e11i | −0.192787 | − | 0.491214i | ||||
\(535\) | −1.07100e12 | + | 3.30361e11i | −0.565195 | + | 0.174340i | ||||
\(536\) | −1.47246e11 | + | 1.36625e11i | −0.0770553 | + | 0.0714969i | ||||
\(537\) | −8.86159e11 | + | 1.11121e12i | −0.459862 | + | 0.576648i | ||||
\(538\) | 1.77437e12 | − | 2.22498e12i | 0.913109 | − | 1.14500i | ||||
\(539\) | 8.78144e11 | − | 8.14798e11i | 0.448143 | − | 0.415815i | ||||
\(540\) | 7.36716e11 | − | 2.27247e11i | 0.372845 | − | 0.115007i | ||||
\(541\) | 1.04603e12 | + | 2.66525e12i | 0.524998 | + | 1.33767i | 0.909943 | + | 0.414733i | \(0.136125\pi\) |
−0.384945 | + | 0.922939i | \(0.625780\pi\) | |||||||
\(542\) | 2.29051e12 | − | 1.56165e12i | 1.14008 | − | 0.777295i | ||||
\(543\) | −2.82281e12 | − | 1.35939e12i | −1.39342 | − | 0.671036i | ||||
\(544\) | −2.22999e12 | − | 2.06913e12i | −1.09171 | − | 1.01296i | ||||
\(545\) | −1.28886e12 | + | 1.94265e11i | −0.625782 | + | 0.0943214i | ||||
\(546\) | 1.94824e10 | − | 2.59974e11i | 0.00938156 | − | 0.125188i | ||||
\(547\) | 7.25321e11 | − | 1.84809e12i | 0.346408 | − | 0.882632i | −0.646409 | − | 0.762991i | \(-0.723730\pi\) |
0.992817 | − | 0.119642i | \(-0.0381746\pi\) | |||||||
\(548\) | 2.23629e11 | + | 9.79781e11i | 0.105929 | + | 0.464105i | ||||
\(549\) | −1.01549e9 | − | 1.35507e10i | −0.000477088 | − | 0.00636630i | ||||
\(550\) | 8.06803e11 | + | 2.48866e11i | 0.375954 | + | 0.115967i | ||||
\(551\) | 1.17004e12 | − | 5.63462e11i | 0.540778 | − | 0.260425i | ||||
\(552\) | −4.29820e11 | + | 7.44470e11i | −0.197043 | + | 0.341288i | ||||
\(553\) | 2.12457e10 | + | 3.67986e10i | 0.00966068 | + | 0.0167328i | ||||
\(554\) | 2.77315e12 | + | 1.89070e12i | 1.25078 | + | 0.852765i | ||||
\(555\) | 4.86105e11 | − | 2.12976e12i | 0.217476 | − | 0.952825i | ||||
\(556\) | −2.37815e12 | − | 3.58448e11i | −1.05536 | − | 0.159071i | ||||
\(557\) | −5.57522e11 | − | 6.99111e11i | −0.245422 | − | 0.307750i | 0.643828 | − | 0.765170i | \(-0.277345\pi\) |
−0.889251 | + | 0.457420i | \(0.848774\pi\) | |||||||
\(558\) | −3.36152e11 | −0.146785 | ||||||||
\(559\) | 3.47700e11 | − | 1.04337e12i | 0.150609 | − | 0.451944i | ||||
\(560\) | −3.85896e11 | −0.165815 | ||||||||
\(561\) | −1.38260e12 | − | 1.73372e12i | −0.589336 | − | 0.739004i | ||||
\(562\) | 7.46964e11 | + | 1.12587e11i | 0.315854 | + | 0.0476073i | ||||
\(563\) | −2.16056e11 | + | 9.46605e11i | −0.0906315 | + | 0.397083i | −0.999813 | − | 0.0193165i | \(-0.993851\pi\) |
0.909182 | + | 0.416399i | \(0.136708\pi\) | |||||||
\(564\) | −3.91047e11 | − | 2.66612e11i | −0.162732 | − | 0.110949i | ||||
\(565\) | −2.72934e11 | − | 4.72735e11i | −0.112678 | − | 0.195164i | ||||
\(566\) | −1.63725e12 | + | 2.83580e12i | −0.670566 | + | 1.16145i | ||||
\(567\) | 4.85513e11 | − | 2.33811e11i | 0.197277 | − | 0.0950037i | ||||
\(568\) | −1.64707e11 | − | 5.08055e10i | −0.0663965 | − | 0.0204806i | ||||
\(569\) | 3.32076e11 | + | 4.43125e12i | 0.132811 | + | 1.77223i | 0.523803 | + | 0.851840i | \(0.324513\pi\) |
−0.390992 | + | 0.920394i | \(0.627868\pi\) | |||||||
\(570\) | −6.28865e11 | − | 2.75524e12i | −0.249529 | − | 1.09326i | ||||
\(571\) | −6.03729e11 | + | 1.53828e12i | −0.237673 | + | 0.605581i | −0.999089 | − | 0.0426831i | \(-0.986409\pi\) |
0.761416 | + | 0.648264i | \(0.224505\pi\) | |||||||
\(572\) | 3.62607e10 | − | 4.83865e11i | 0.0141629 | − | 0.188991i | ||||
\(573\) | 1.48754e12 | − | 2.24211e11i | 0.576465 | − | 0.0868881i | ||||
\(574\) | 5.40191e9 | + | 5.01224e9i | 0.00207704 | + | 0.00192721i | ||||
\(575\) | −8.66413e11 | − | 4.17243e11i | −0.330537 | − | 0.159178i | ||||
\(576\) | −7.81829e10 | + | 5.33042e10i | −0.0295945 | + | 0.0201772i | ||||
\(577\) | −1.63527e12 | − | 4.16660e12i | −0.614184 | − | 1.56492i | −0.811360 | − | 0.584547i | \(-0.801272\pi\) |
0.197175 | − | 0.980368i | \(-0.436823\pi\) | |||||||
\(578\) | −2.73402e12 | + | 8.43334e11i | −1.01889 | + | 0.314286i | ||||
\(579\) | 1.22535e12 | − | 1.13696e12i | 0.453112 | − | 0.420427i | ||||
\(580\) | −4.11803e11 | + | 5.16385e11i | −0.151100 | + | 0.189473i | ||||
\(581\) | 1.30606e11 | − | 1.63775e11i | 0.0475524 | − | 0.0596288i | ||||
\(582\) | 4.68863e12 | − | 4.35041e12i | 1.69392 | − | 1.57173i | ||||
\(583\) | 7.57630e11 | − | 2.33698e11i | 0.271612 | − | 0.0837811i | ||||
\(584\) | −9.62896e10 | − | 2.45342e11i | −0.0342548 | − | 0.0872799i | ||||
\(585\) | 1.69533e11 | − | 1.15586e11i | 0.0598485 | − | 0.0408040i | ||||
\(586\) | 1.59624e12 | + | 7.68710e11i | 0.559190 | + | 0.269292i | ||||
\(587\) | 2.56328e12 | + | 2.37837e12i | 0.891095 | + | 0.826816i | 0.985667 | − | 0.168702i | \(-0.0539577\pi\) |
−0.0945716 | + | 0.995518i | \(0.530148\pi\) | |||||||
\(588\) | −1.91169e12 | + | 2.88141e11i | −0.659506 | + | 0.0994046i | ||||
\(589\) | 1.31838e11 | − | 1.75926e12i | 0.0451359 | − | 0.602297i | ||||
\(590\) | −1.25585e12 | + | 3.19987e12i | −0.426683 | + | 1.08717i | ||||
\(591\) | −4.59180e11 | − | 2.01180e12i | −0.154824 | − | 0.678330i | ||||
\(592\) | −3.41335e11 | − | 4.55480e12i | −0.114218 | − | 1.52413i | ||||
\(593\) | 4.18721e12 | + | 1.29158e12i | 1.39052 | + | 0.428920i | 0.897469 | − | 0.441078i | \(-0.145404\pi\) |
0.493056 | + | 0.869998i | \(0.335880\pi\) | |||||||
\(594\) | 1.91687e12 | − | 9.23118e11i | 0.631763 | − | 0.304241i | ||||
\(595\) | −2.78375e11 | + | 4.82160e11i | −0.0910550 | + | 0.157712i | ||||
\(596\) | 6.50402e11 | + | 1.12653e12i | 0.211142 | + | 0.365708i | ||||
\(597\) | 3.80762e12 | + | 2.59599e12i | 1.22679 | + | 0.836409i | ||||
\(598\) | −3.18842e11 | + | 1.39694e12i | −0.101958 | + | 0.446706i | ||||
\(599\) | −1.70869e12 | − | 2.57543e11i | −0.542303 | − | 0.0817390i | −0.127822 | − | 0.991797i | \(-0.540799\pi\) |
−0.414481 | + | 0.910058i | \(0.636037\pi\) | |||||||
\(600\) | 5.03540e11 | + | 6.31419e11i | 0.158618 | + | 0.198901i | ||||
\(601\) | 1.91211e12 | 0.597830 | 0.298915 | − | 0.954280i | \(-0.403375\pi\) | ||||
0.298915 | + | 0.954280i | \(0.403375\pi\) | |||||||
\(602\) | 7.67650e11 | + | 7.49088e10i | 0.238220 | + | 0.0232460i | ||||
\(603\) | 1.52537e11 | 0.0469838 | ||||||||
\(604\) | 6.71265e11 | + | 8.41740e11i | 0.205224 | + | 0.257342i | ||||
\(605\) | 1.39731e12 | + | 2.10610e11i | 0.424027 | + | 0.0639117i | ||||
\(606\) | −1.27637e12 | + | 5.59216e12i | −0.384460 | + | 1.68443i | ||||
\(607\) | −1.07311e12 | − | 7.31634e11i | −0.320845 | − | 0.218748i | 0.392178 | − | 0.919890i | \(-0.371722\pi\) |
−0.713022 | + | 0.701141i | \(0.752674\pi\) | |||||||
\(608\) | −2.06325e12 | − | 3.57366e12i | −0.612331 | − | 1.06059i | ||||
\(609\) | −1.88856e11 | + | 3.27108e11i | −0.0556357 | + | 0.0963638i | ||||
\(610\) | −8.47266e10 | + | 4.08022e10i | −0.0247762 | + | 0.0119316i | ||||
\(611\) | 4.46799e11 | + | 1.37819e11i | 0.129696 | + | 0.0400059i | ||||
\(612\) | 4.68204e10 | + | 6.24775e11i | 0.0134913 | + | 0.180029i | ||||
\(613\) | −3.21130e11 | − | 1.40696e12i | −0.0918562 | − | 0.402448i | 0.908008 | − | 0.418954i | \(-0.137603\pi\) |
−0.999864 | + | 0.0165055i | \(0.994746\pi\) | |||||||
\(614\) | −2.94998e12 | + | 7.51642e12i | −0.837647 | + | 2.13429i | ||||
\(615\) | −2.47572e9 | + | 3.30362e10i | −0.000697853 | + | 0.00931220i | ||||
\(616\) | −1.99441e11 | + | 3.00609e10i | −0.0558087 | + | 0.00841181i | ||||
\(617\) | −3.37074e12 | − | 3.12759e12i | −0.936357 | − | 0.868813i | 0.0552007 | − | 0.998475i | \(-0.482420\pi\) |
−0.991558 | + | 0.129663i | \(0.958611\pi\) | |||||||
\(618\) | −2.12287e12 | − | 1.02232e12i | −0.585430 | − | 0.281928i | ||||
\(619\) | 2.50801e12 | − | 1.70993e12i | 0.686627 | − | 0.468134i | −0.169075 | − | 0.985603i | \(-0.554078\pi\) |
0.855702 | + | 0.517469i | \(0.173126\pi\) | |||||||
\(620\) | 3.27803e11 | + | 8.35228e11i | 0.0890943 | + | 0.227009i | ||||
\(621\) | −2.31558e12 | + | 7.14261e11i | −0.624809 | + | 0.192728i | ||||
\(622\) | 1.06300e12 | − | 9.86322e11i | 0.284759 | − | 0.264218i | ||||
\(623\) | −1.65209e11 | + | 2.07165e11i | −0.0439377 | + | 0.0550961i | ||||
\(624\) | 1.52790e12 | − | 1.91593e12i | 0.403427 | − | 0.505881i | ||||
\(625\) | 7.73228e11 | − | 7.17451e11i | 0.202697 | − | 0.188075i | ||||
\(626\) | 5.70959e12 | − | 1.76117e12i | 1.48601 | − | 0.458372i | ||||
\(627\) | −1.09895e12 | − | 2.80009e12i | −0.283972 | − | 0.723549i | ||||
\(628\) | −2.53668e12 | + | 1.72948e12i | −0.650799 | + | 0.443707i | ||||
\(629\) | −5.93724e12 | − | 2.85922e12i | −1.51236 | − | 0.728316i | ||||
\(630\) | 1.05487e11 | + | 9.78778e10i | 0.0266789 | + | 0.0247544i | ||||
\(631\) | −7.55822e12 | + | 1.13922e12i | −1.89796 | + | 0.286072i | −0.990866 | − | 0.134853i | \(-0.956944\pi\) |
−0.907095 | + | 0.420925i | \(0.861706\pi\) | |||||||
\(632\) | −1.46569e10 | + | 1.95583e11i | −0.00365440 | + | 0.0487646i | ||||
\(633\) | −8.29148e11 | + | 2.11264e12i | −0.205265 | + | 0.523007i | ||||
\(634\) | −1.03043e11 | − | 4.51461e11i | −0.0253290 | − | 0.110973i | ||||
\(635\) | 2.55826e11 | + | 3.41376e12i | 0.0624399 | + | 0.833203i | ||||
\(636\) | −1.22270e12 | − | 3.77154e11i | −0.296322 | − | 0.0914033i | ||||
\(637\) | 1.72080e12 | − | 8.28692e11i | 0.414097 | − | 0.199419i | ||||
\(638\) | −9.11334e11 | + | 1.57848e12i | −0.217763 | + | 0.377177i | ||||
\(639\) | 6.54464e10 | + | 1.13356e11i | 0.0155286 | + | 0.0268963i | ||||
\(640\) | −2.22074e12 | − | 1.51407e12i | −0.523224 | − | 0.356728i | ||||
\(641\) | −3.01700e11 | + | 1.32183e12i | −0.0705852 | + | 0.309254i | −0.997880 | − | 0.0650774i | \(-0.979271\pi\) |
0.927295 | + | 0.374331i | \(0.122128\pi\) | |||||||
\(642\) | 4.93583e12 | + | 7.43956e11i | 1.14671 | + | 0.172838i | ||||
\(643\) | −2.19351e12 | − | 2.75058e12i | −0.506047 | − | 0.634563i | 0.461534 | − | 0.887122i | \(-0.347299\pi\) |
−0.967581 | + | 0.252559i | \(0.918728\pi\) | |||||||
\(644\) | −3.87586e11 | −0.0887936 | ||||||||
\(645\) | 1.88843e12 | + | 2.90814e12i | 0.429617 | + | 0.661602i | ||||
\(646\) | −8.52514e12 | −1.92600 | ||||||||
\(647\) | −4.35090e12 | − | 5.45585e12i | −0.976134 | − | 1.22403i | −0.974581 | − | 0.224035i | \(-0.928077\pi\) |
−0.00155300 | − | 0.999999i | \(-0.500494\pi\) | |||||||
\(648\) | 2.45957e12 | + | 3.70721e11i | 0.547990 | + | 0.0825962i | ||||
\(649\) | −8.14154e11 | + | 3.56704e12i | −0.180138 | + | 0.789236i | ||||
\(650\) | 1.11224e12 | + | 7.58312e11i | 0.244393 | + | 0.166624i | ||||
\(651\) | 2.56558e11 | + | 4.44371e11i | 0.0559849 | + | 0.0969687i | ||||
\(652\) | 2.24178e11 | − | 3.88288e11i | 0.0485824 | − | 0.0841472i | ||||
\(653\) | −2.64658e12 | + | 1.27452e12i | −0.569607 | + | 0.274308i | −0.696439 | − | 0.717616i | \(-0.745233\pi\) |
0.126832 | + | 0.991924i | \(0.459519\pi\) | |||||||
\(654\) | 5.54703e12 | + | 1.71103e12i | 1.18566 | + | 0.365728i | ||||
\(655\) | 5.91364e10 | + | 7.89120e11i | 0.0125536 | + | 0.167516i | ||||
\(656\) | 1.54136e10 | + | 6.75312e10i | 0.00324964 | + | 0.0142376i | ||||
\(657\) | −7.31217e10 | + | 1.86311e11i | −0.0153109 | + | 0.0390116i | ||||
\(658\) | −2.45053e10 | + | 3.27001e11i | −0.00509617 | + | 0.0680036i | ||||
\(659\) | 1.59763e12 | − | 2.40805e11i | 0.329984 | − | 0.0497371i | 0.0180391 | − | 0.999837i | \(-0.494258\pi\) |
0.311945 | + | 0.950100i | \(0.399020\pi\) | |||||||
\(660\) | 1.12146e12 | + | 1.04056e12i | 0.230058 | + | 0.213462i | ||||
\(661\) | −5.63510e12 | − | 2.71372e12i | −1.14814 | − | 0.552915i | −0.239666 | − | 0.970856i | \(-0.577038\pi\) |
−0.908474 | + | 0.417940i | \(0.862752\pi\) | |||||||
\(662\) | 6.91939e11 | − | 4.71756e11i | 0.140025 | − | 0.0954677i | ||||
\(663\) | −1.29168e12 | − | 3.29114e12i | −0.259623 | − | 0.661509i | ||||
\(664\) | 9.23945e11 | − | 2.84999e11i | 0.184455 | − | 0.0568968i | ||||
\(665\) | −5.53617e11 | + | 5.13681e11i | −0.109777 | + | 0.101858i | ||||
\(666\) | −1.06196e12 | + | 1.33166e12i | −0.209158 | + | 0.262276i | ||||
\(667\) | 1.29434e12 | − | 1.62305e12i | 0.253211 | − | 0.317516i | ||||
\(668\) | 1.63210e12 | − | 1.51437e12i | 0.317141 | − | 0.294264i | ||||
\(669\) | 4.24347e12 | − | 1.30894e12i | 0.819036 | − | 0.252639i | ||||
\(670\) | −3.85661e11 | − | 9.82647e11i | −0.0739382 | − | 0.188391i | ||||
\(671\) | −8.27008e10 | + | 5.63845e10i | −0.0157492 | + | 0.0107376i | ||||
\(672\) | 1.08134e12 | + | 5.20746e11i | 0.204550 | + | 0.0985063i | ||||
\(673\) | 7.54462e12 | + | 7.00039e12i | 1.41765 | + | 1.31539i | 0.882241 | + | 0.470797i | \(0.156034\pi\) |
0.535411 | + | 0.844592i | \(0.320157\pi\) | |||||||
\(674\) | 1.33771e13 | − | 2.01627e12i | 2.49685 | − | 0.376339i | ||||
\(675\) | −1.70129e11 | + | 2.27022e12i | −0.0315436 | + | 0.420921i | ||||
\(676\) | −9.62807e11 | + | 2.45319e12i | −0.177329 | + | 0.451826i | ||||
\(677\) | 1.86364e12 | + | 8.16516e12i | 0.340968 | + | 1.49388i | 0.797034 | + | 0.603934i | \(0.206401\pi\) |
−0.456066 | + | 0.889946i | \(0.650742\pi\) | |||||||
\(678\) | 1.81675e11 | + | 2.42428e12i | 0.0330187 | + | 0.440604i | ||||
\(679\) | −1.63329e12 | − | 5.03803e11i | −0.294883 | − | 0.0909592i | ||||
\(680\) | −2.31535e12 | + | 1.11502e12i | −0.415267 | + | 0.199982i | ||||
\(681\) | −4.97112e12 | + | 8.61024e12i | −0.885712 | + | 1.53410i | ||||
\(682\) | 1.23803e12 | + | 2.14433e12i | 0.219130 | + | 0.379544i | ||||
\(683\) | 5.03069e12 | + | 3.42986e12i | 0.884574 | + | 0.603092i | 0.918101 | − | 0.396346i | \(-0.129722\pi\) |
−0.0335276 | + | 0.999438i | \(0.510674\pi\) | |||||||
\(684\) | −1.89114e11 | + | 8.28564e11i | −0.0330348 | + | 0.144735i | ||||
\(685\) | 3.09537e12 | + | 4.66552e11i | 0.537162 | + | 0.0809641i | ||||
\(686\) | 1.70077e12 | + | 2.13269e12i | 0.293215 | + | 0.367680i | ||||
\(687\) | 1.18014e13 | 2.02128 | ||||||||
\(688\) | 5.56529e12 | + | 4.64656e12i | 0.946979 | + | 0.790649i | ||||
\(689\) | 1.26410e12 | 0.213696 | ||||||||
\(690\) | −2.81672e12 | − | 3.53205e12i | −0.473067 | − | 0.593207i | ||||
\(691\) | 1.11481e13 | + | 1.68030e12i | 1.86015 | + | 0.280373i | 0.980686 | − | 0.195587i | \(-0.0626613\pi\) |
0.879467 | + | 0.475960i | \(0.157899\pi\) | |||||||
\(692\) | 5.97973e11 | − | 2.61989e12i | 0.0991298 | − | 0.434316i | ||||
\(693\) | 1.26551e11 | + | 8.62809e10i | 0.0208433 | + | 0.0142107i | ||||
\(694\) | −5.14834e12 | − | 8.91719e12i | −0.842461 | − | 1.45918i | ||||
\(695\) | −3.74560e12 | + | 6.48757e12i | −0.608961 | + | 1.05475i | ||||
\(696\) | −1.57079e12 | + | 7.56452e11i | −0.253733 | + | 0.122191i | ||||
\(697\) | 9.54961e10 | + | 2.94566e10i | 0.0153263 | + | 0.00472754i | ||||
\(698\) | 1.03601e11 | + | 1.38246e12i | 0.0165202 | + | 0.220446i | ||||
\(699\) | −1.49896e12 | − | 6.56739e12i | −0.237489 | − | 1.04051i | ||||
\(700\) | −1.33031e11 | + | 3.38959e11i | −0.0209418 | + | 0.0533587i | ||||
\(701\) | −5.27531e11 | + | 7.03941e12i | −0.0825119 | + | 1.10105i | 0.790213 | + | 0.612833i | \(0.209970\pi\) |
−0.872725 | + | 0.488213i | \(0.837649\pi\) | |||||||
\(702\) | 3.35424e12 | − | 5.05571e11i | 0.521288 | − | 0.0785715i | ||||
\(703\) | −6.55275e12 | − | 6.08006e12i | −1.01187 | − | 0.938878i | ||||
\(704\) | 6.27974e11 | + | 3.02416e11i | 0.0963529 | + | 0.0464011i | ||||
\(705\) | −1.21805e12 | + | 8.30449e11i | −0.185700 | + | 0.126608i | ||||
\(706\) | −5.73665e12 | − | 1.46167e13i | −0.869035 | − | 2.21426i | ||||
\(707\) | 1.46474e12 | − | 4.51811e11i | 0.220481 | − | 0.0680095i | ||||
\(708\) | 4.32847e12 | − | 4.01623e12i | 0.647418 | − | 0.600716i | ||||
\(709\) | −2.77801e12 | + | 3.48352e12i | −0.412882 | + | 0.517738i | −0.944172 | − | 0.329452i | \(-0.893136\pi\) |
0.531290 | + | 0.847190i | \(0.321707\pi\) | |||||||
\(710\) | 5.64775e11 | − | 7.08206e11i | 0.0834091 | − | 0.104592i | ||||
\(711\) | 1.09181e11 | − | 1.01306e11i | 0.0160227 | − | 0.0148669i | ||||
\(712\) | −1.16873e12 | + | 3.60506e11i | −0.170433 | + | 0.0525717i | ||||
\(713\) | −1.03032e12 | − | 2.62521e12i | −0.149303 | − | 0.380418i | ||||
\(714\) | 2.04869e12 | − | 1.39678e12i | 0.295009 | − | 0.201134i | ||||
\(715\) | −1.36171e12 | − | 6.55764e11i | −0.194853 | − | 0.0938363i | ||||
\(716\) | −2.16828e12 | − | 2.01187e12i | −0.308324 | − | 0.286082i | ||||
\(717\) | −1.28299e13 | + | 1.93379e12i | −1.81295 | + | 0.273259i | ||||
\(718\) | −3.95902e11 | + | 5.28294e12i | −0.0555940 | + | 0.741850i | ||||
\(719\) | −1.73612e12 | + | 4.42357e12i | −0.242270 | + | 0.617295i | −0.999351 | − | 0.0360267i | \(-0.988530\pi\) |
0.757080 | + | 0.653322i | \(0.226625\pi\) | |||||||
\(720\) | 3.00992e11 | + | 1.31873e12i | 0.0417406 | + | 0.182878i | ||||
\(721\) | 4.70540e10 | + | 6.27893e11i | 0.00648468 | + | 0.0865320i | ||||
\(722\) | −2.14839e12 | − | 6.62690e11i | −0.294236 | − | 0.0907598i | ||||
\(723\) | −1.21134e13 | + | 5.83349e12i | −1.64870 | + | 0.793974i | ||||
\(724\) | 3.26017e12 | − | 5.64678e12i | 0.440978 | − | 0.763796i | ||||
\(725\) | −9.75162e11 | − | 1.68903e12i | −0.131086 | − | 0.227047i | ||||
\(726\) | −5.19981e12 | − | 3.54517e12i | −0.694660 | − | 0.473611i | ||||
\(727\) | 2.66738e12 | − | 1.16866e13i | 0.354144 | − | 1.55161i | −0.413363 | − | 0.910566i | \(-0.635646\pi\) |
0.767507 | − | 0.641040i | \(-0.221497\pi\) | |||||||
\(728\) | −3.17983e11 | − | 4.79282e10i | −0.0419578 | − | 0.00632412i | ||||
\(729\) | 3.36265e12 | + | 4.21663e12i | 0.440969 | + | 0.552957i | ||||
\(730\) | 1.38509e12 | 0.180520 | ||||||||
\(731\) | 9.82032e12 | − | 3.60168e12i | 1.27203 | − | 0.466527i | ||||
\(732\) | 1.61536e11 | 0.0207955 | ||||||||
\(733\) | −2.09524e12 | − | 2.62735e12i | −0.268081 | − | 0.336163i | 0.629510 | − | 0.776993i | \(-0.283256\pi\) |
−0.897591 | + | 0.440829i | \(0.854684\pi\) | |||||||
\(734\) | −1.15547e13 | − | 1.74160e12i | −1.46936 | − | 0.221470i | ||||
\(735\) | −1.33999e12 | + | 5.87086e12i | −0.169359 | + | 0.742008i | ||||
\(736\) | −5.45024e12 | − | 3.71591e12i | −0.684645 | − | 0.466783i | ||||
\(737\) | −5.61787e11 | − | 9.73043e11i | −0.0701403 | − | 0.121487i | ||||
\(738\) | 1.29151e10 | − | 2.23695e10i | 0.00160267 | − | 0.00277590i | ||||
\(739\) | 7.93878e12 | − | 3.82311e12i | 0.979160 | − | 0.471539i | 0.125344 | − | 0.992113i | \(-0.459997\pi\) |
0.853816 | + | 0.520575i | \(0.174282\pi\) | |||||||
\(740\) | 4.34432e12 | + | 1.34004e12i | 0.532572 | + | 0.164277i | ||||
\(741\) | −3.58398e11 | − | 4.78248e12i | −0.0436700 | − | 0.582736i | ||||
\(742\) | 1.97274e11 | + | 8.64312e11i | 0.0238919 | + | 0.104677i | ||||
\(743\) | 2.74087e12 | − | 6.98362e12i | 0.329943 | − | 0.840680i | −0.665595 | − | 0.746313i | \(-0.731822\pi\) |
0.995537 | − | 0.0943670i | \(-0.0300827\pi\) | |||||||
\(744\) | −1.76994e11 | + | 2.36182e12i | −0.0211777 | + | 0.282597i | ||||
\(745\) | 4.00653e12 | − | 6.03887e11i | 0.476502 | − | 0.0718211i | ||||
\(746\) | −1.28394e13 | − | 1.19132e13i | −1.51782 | − | 1.40833i | ||||
\(747\) | −6.61544e11 | − | 3.18583e11i | −0.0777349 | − | 0.0374351i | ||||
\(748\) | 3.81303e12 | − | 2.59968e12i | 0.445362 | − | 0.303643i | ||||
\(749\) | −4.87332e11 | − | 1.24170e12i | −0.0565791 | − | 0.144161i | ||||
\(750\) | −1.23895e13 | + | 3.82166e12i | −1.42981 | + | 0.441038i | ||||
\(751\) | 1.14683e13 | − | 1.06411e13i | 1.31559 | − | 1.22069i | 0.357607 | − | 0.933872i | \(-0.383593\pi\) |
0.957985 | − | 0.286819i | \(-0.0925978\pi\) | |||||||
\(752\) | −1.92182e12 | + | 2.40989e12i | −0.219146 | + | 0.274800i | ||||
\(753\) | 6.59615e12 | − | 8.27131e12i | 0.747676 | − | 0.937556i | ||||
\(754\) | −2.13025e12 | + | 1.97658e12i | −0.240027 | + | 0.222712i | ||||
\(755\) | 3.20452e12 | − | 9.88463e11i | 0.358923 | − | 0.110713i | ||||
\(756\) | 3.35223e11 | + | 8.54135e11i | 0.0373238 | + | 0.0950996i | ||||
\(757\) | −1.91767e12 | + | 1.30745e12i | −0.212248 | + | 0.144708i | −0.664778 | − | 0.747041i | \(-0.731474\pi\) |
0.452530 | + | 0.891749i | \(0.350521\pi\) | |||||||
\(758\) | −1.41913e13 | − | 6.83417e12i | −1.56139 | − | 0.751924i | ||||
\(759\) | −3.52487e12 | − | 3.27060e12i | −0.385527 | − | 0.357717i | ||||
\(760\) | −3.44702e12 | + | 5.19554e11i | −0.374785 | + | 0.0564898i | ||||
\(761\) | 3.60253e11 | − | 4.80724e12i | 0.0389382 | − | 0.519595i | −0.943298 | − | 0.331947i | \(-0.892295\pi\) |
0.982236 | − | 0.187648i | \(-0.0600864\pi\) | |||||||
\(762\) | 5.57004e12 | − | 1.41922e13i | 0.598495 | − | 1.52494i | ||||
\(763\) | −3.45188e11 | − | 1.51237e12i | −0.0368719 | − | 0.161546i | ||||
\(764\) | 2.33959e11 | + | 3.12197e12i | 0.0248439 | + | 0.331519i | ||||
\(765\) | 1.86482e12 | + | 5.75222e11i | 0.196862 | + | 0.0607238i | ||||
\(766\) | −1.72477e13 | + | 8.30605e12i | −1.81010 | + | 0.871696i | ||||
\(767\) | −2.91672e12 | + | 5.05190e12i | −0.304309 | + | 0.527079i | ||||
\(768\) | 6.88090e12 | + | 1.19181e13i | 0.713707 | + | 1.23618i | ||||
\(769\) | 3.36794e12 | + | 2.29623e12i | 0.347293 | + | 0.236781i | 0.724385 | − | 0.689395i | \(-0.242124\pi\) |
−0.377092 | + | 0.926176i | \(0.623076\pi\) | |||||||
\(770\) | 2.35864e11 | − | 1.03339e12i | 0.0241798 | − | 0.105939i | ||||
\(771\) | 1.57657e12 | + | 2.37630e11i | 0.160683 | + | 0.0242190i | ||||
\(772\) | 2.16897e12 | + | 2.71980e12i | 0.219773 | + | 0.275587i | ||||
\(773\) | 1.27640e13 | 1.28582 | 0.642908 | − | 0.765943i | \(-0.277728\pi\) | ||||
0.642908 | + | 0.765943i | \(0.277728\pi\) | |||||||
\(774\) | −3.42765e11 | − | 2.68173e12i | −0.0343291 | − | 0.268585i | ||||
\(775\) | −2.64948e12 | −0.263817 | ||||||||
\(776\) | −4.91899e12 | − | 6.16822e12i | −0.486965 | − | 0.610635i | ||||
\(777\) | 2.57087e12 | + | 3.87497e11i | 0.253038 | + | 0.0381394i | ||||
\(778\) | −2.30799e12 | + | 1.01120e13i | −0.225853 | + | 0.989527i | ||||
\(779\) | 1.12006e11 | + | 7.63644e10i | 0.0108974 | + | 0.00742972i | ||||
\(780\) | 1.21958e12 | + | 2.11237e12i | 0.117973 | + | 0.204335i | ||||
\(781\) | 4.82071e11 | − | 8.34971e11i | 0.0463640 | − | 0.0803049i | ||||
\(782\) | −1.22783e13 | + | 5.91293e12i | −1.17411 | + | 0.565422i | ||||
\(783\) | −4.69625e12 | − | 1.44860e12i | −0.446501 | − | 0.137727i | ||||
\(784\) | 9.40915e11 | + | 1.25556e13i | 0.0889464 | + | 1.18691i | ||||
\(785\) | 2.12797e12 | + | 9.32323e12i | 0.200010 | + | 0.876300i | ||||
\(786\) | 1.28756e12 | − | 3.28066e12i | 0.120328 | − | 0.306591i | ||||
\(787\) | 3.10905e11 | − | 4.14874e12i | 0.0288896 | − | 0.385505i | −0.963953 | − | 0.266073i | \(-0.914274\pi\) |
0.992842 | − | 0.119432i | \(-0.0381072\pi\) | |||||||
\(788\) | 4.24652e12 | − | 6.40059e11i | 0.392342 | − | 0.0591360i | ||||
\(789\) | −1.20728e13 | − | 1.12019e13i | −1.10907 | − | 1.02907i | ||||
\(790\) | −9.28656e11 | − | 4.47217e11i | −0.0848268 | − | 0.0408504i | ||||
\(791\) | 5.36775e11 | − | 3.65967e11i | 0.0487526 | − | 0.0332390i | ||||
\(792\) | 2.58289e11 | + | 6.58108e11i | 0.0233261 | + | 0.0594339i | ||||
\(793\) | −1.52495e11 | + | 4.70386e10i | −0.0136939 | + | 0.00422401i | ||||
\(794\) | 1.29902e13 | − | 1.20531e13i | 1.15990 | − | 1.07623i | ||||
\(795\) | −2.48497e12 | + | 3.11605e12i | −0.220632 | + | 0.276664i | ||||
\(796\) | −5.97965e12 | + | 7.49824e12i | −0.527918 | + | 0.661989i | ||||
\(797\) | 1.09942e13 | − | 1.02011e13i | 0.965166 | − | 0.895543i | −0.0294092 | − | 0.999567i | \(-0.509363\pi\) |
0.994575 | + | 0.104025i | \(0.0331721\pi\) | |||||||
\(798\) | 3.21403e12 | − | 9.91396e11i | 0.280567 | − | 0.0865434i | ||||
\(799\) | 1.62470e12 | + | 4.13966e12i | 0.141030 | + | 0.359338i | ||||
\(800\) | −5.12040e12 | + | 3.49103e12i | −0.441976 | + | 0.301334i | ||||
\(801\) | 8.36810e11 | + | 4.02987e11i | 0.0718258 | + | 0.0345895i | ||||
\(802\) | 8.50304e12 | + | 7.88967e12i | 0.725754 | + | 0.673401i | ||||
\(803\) | 1.45779e12 | − | 2.19727e11i | 0.123730 | − | 0.0186493i | ||||
\(804\) | −1.35507e11 | + | 1.80821e12i | −0.0114369 | + | 0.152615i | ||||
\(805\) | −4.41063e11 | + | 1.12381e12i | −0.0370185 | + | 0.0943217i | ||||
\(806\) | 8.78459e11 | + | 3.84878e12i | 0.0733185 | + | 0.321229i | ||||
\(807\) | 1.13789e12 | + | 1.51841e13i | 0.0944433 | + | 1.26026i | ||||
\(808\) | 6.76093e12 | + | 2.08547e12i | 0.558027 | + | 0.172129i | ||||
\(809\) | 4.49987e12 | − | 2.16702e12i | 0.369345 | − | 0.177867i | −0.239999 | − | 0.970773i | \(-0.577147\pi\) |
0.609344 | + | 0.792906i | \(0.291433\pi\) | |||||||
\(810\) | −6.53590e12 | + | 1.13205e13i | −0.533486 | + | 0.924025i | ||||
\(811\) | −3.88512e11 | − | 6.72922e11i | −0.0315363 | − | 0.0546224i | 0.849827 | − | 0.527063i | \(-0.176707\pi\) |
−0.881363 | + | 0.472440i | \(0.843373\pi\) | |||||||
\(812\) | −6.49479e11 | − | 4.42807e11i | −0.0524280 | − | 0.0357448i | ||||
\(813\) | −3.30058e12 | + | 1.44608e13i | −0.264962 | + | 1.16087i | ||||
\(814\) | 1.24059e13 | + | 1.86988e12i | 0.990414 | + | 0.149281i | ||||
\(815\) | −8.70736e11 | − | 1.09187e12i | −0.0691317 | − | 0.0866884i | ||||
\(816\) | 2.33072e13 | 1.84029 | ||||||||
\(817\) | 1.41693e13 | − | 7.42096e11i | 1.11263 | − | 0.0582721i | ||||
\(818\) | −2.19139e12 | −0.171132 | ||||||||
\(819\) | 1.52257e11 | + | 1.90924e11i | 0.0118250 | + | 0.0148280i | ||||
\(820\) | −6.81752e10 | − | 1.02758e10i | −0.00526580 | − | 0.000793692i | ||||
\(821\) | 1.54125e12 | − | 6.75268e12i | 0.118394 | − | 0.518719i | −0.880599 | − | 0.473862i | \(-0.842860\pi\) |
0.998993 | − | 0.0448570i | \(-0.0142832\pi\) | |||||||
\(822\) | −1.15188e13 | − | 7.85339e12i | −0.880003 | − | 0.599976i | ||||
\(823\) | 1.18055e13 | + | 2.04478e13i | 0.896986 | + | 1.55363i | 0.831327 | + | 0.555783i | \(0.187582\pi\) |
0.0656590 | + | 0.997842i | \(0.479085\pi\) | |||||||
\(824\) | −1.45318e12 | + | 2.51698e12i | −0.109811 | + | 0.190198i | ||||
\(825\) | −4.07011e12 | + | 1.96006e12i | −0.305889 | + | 0.147308i | ||||
\(826\) | −3.90935e12 | − | 1.20587e12i | −0.292209 | − | 0.0901346i | ||||
\(827\) | 5.03743e11 | + | 6.72199e12i | 0.0374485 | + | 0.499716i | 0.984119 | + | 0.177511i | \(0.0568047\pi\) |
−0.946670 | + | 0.322204i | \(0.895576\pi\) | |||||||
\(828\) | 3.02310e11 | + | 1.32451e12i | 0.0223520 | + | 0.0979304i | ||||
\(829\) | −2.45776e12 | + | 6.26226e12i | −0.180736 | + | 0.460507i | −0.992315 | − | 0.123735i | \(-0.960513\pi\) |
0.811580 | + | 0.584242i | \(0.198608\pi\) | |||||||
\(830\) | −3.79730e11 | + | 5.06715e12i | −0.0277731 | + | 0.370606i | ||||
\(831\) | −1.77575e13 | + | 2.67652e12i | −1.29175 | + | 0.194700i | ||||
\(832\) | 8.14621e11 | + | 7.55857e11i | 0.0589387 | + | 0.0546871i | ||||
\(833\) | 1.63664e13 | + | 7.88167e12i | 1.17775 | + | 0.567173i | ||||
\(834\) | 2.75657e13 | − | 1.87939e13i | 1.97297 | − | 1.34515i | ||||
\(835\) | −2.53364e12 | − | 6.45561e12i | −0.180367 | − | 0.459566i | ||||
\(836\) | 5.98195e12 | − | 1.84519e12i | 0.423560 | − | 0.130651i | ||||
\(837\) | −4.89413e12 | + | 4.54109e12i | −0.344676 | + | 0.319813i | ||||
\(838\) | −1.40029e13 | + | 1.75591e13i | −0.980888 | + | 1.22999i | ||||
\(839\) | 1.51548e13 | − | 1.90035e13i | 1.05590 | − | 1.32405i | 0.112039 | − | 0.993704i | \(-0.464262\pi\) |
0.943859 | − | 0.330350i | \(-0.107167\pi\) | |||||||
\(840\) | 7.43235e11 | − | 6.89621e11i | 0.0515074 | − | 0.0477918i | ||||
\(841\) | −9.83941e12 | + | 3.03506e12i | −0.678246 | + | 0.209211i | ||||
\(842\) | −8.68886e12 | − | 2.21388e13i | −0.595742 | − | 1.51793i | ||||
\(843\) | −3.33946e12 | + | 2.27680e12i | −0.227747 | + | 0.155275i | ||||
\(844\) | −4.25542e12 | − | 2.04930e12i | −0.288670 | − | 0.139016i | ||||
\(845\) | 6.01741e12 | + | 5.58334e12i | 0.406027 | + | 0.376738i | ||||
\(846\) | 1.13658e12 | − | 1.71312e11i | 0.0762840 | − | 0.0114980i | ||||
\(847\) | −1.25680e11 | + | 1.67708e12i | −0.00839054 | + | 0.111964i | ||||
\(848\) | −3.04450e12 | + | 7.75726e12i | −0.202178 | + | 0.515142i | ||||
\(849\) | −3.89860e12 | − | 1.70809e13i | −0.257528 | − | 1.12830i | ||||
\(850\) | 9.56782e11 | + | 1.27674e13i | 0.0628677 | + | 0.838911i | ||||
\(851\) | −1.36546e13 | − | 4.21190e12i | −0.892477 | − | 0.275293i | ||||
\(852\) | −1.40189e12 | + | 6.75116e11i | −0.0911458 | + | 0.0438935i | ||||
\(853\) | 1.08107e12 | − | 1.87247e12i | 0.0699171 | − | 0.121100i | −0.828947 | − | 0.559326i | \(-0.811060\pi\) |
0.898865 | + | 0.438226i | \(0.144393\pi\) | |||||||
\(854\) | −5.59602e10 | − | 9.69259e10i | −0.00360013 | − | 0.00623562i | ||||
\(855\) | 2.18723e12 | + | 1.49123e12i | 0.139974 | + | 0.0954324i | ||||
\(856\) | 1.37007e12 | − | 6.00269e12i | 0.0872192 | − | 0.382132i | ||||
\(857\) | 2.07524e12 | + | 3.12792e11i | 0.131418 | + | 0.0198081i | 0.214422 | − | 0.976741i | \(-0.431213\pi\) |
−0.0830039 | + | 0.996549i | \(0.526451\pi\) | |||||||
\(858\) | 4.19677e12 | + | 5.26258e12i | 0.264376 | + | 0.331517i | ||||
\(859\) | 2.24058e13 | 1.40408 | 0.702038 | − | 0.712139i | \(-0.252274\pi\) | ||||
0.702038 | + | 0.712139i | \(0.252274\pi\) | |||||||
\(860\) | −6.32898e12 | + | 3.46678e12i | −0.394540 | + | 0.216114i | ||||
\(861\) | −3.94281e10 | −0.00244507 | ||||||||
\(862\) | 1.11837e13 | + | 1.40239e13i | 0.689926 | + | 0.865139i | ||||
\(863\) | −1.76800e13 | − | 2.66483e12i | −1.08501 | − | 0.163539i | −0.417896 | − | 0.908495i | \(-0.637232\pi\) |
−0.667113 | + | 0.744956i | \(0.732470\pi\) | |||||||
\(864\) | −3.47495e12 | + | 1.52248e13i | −0.212147 | + | 0.929478i | ||||
\(865\) | −6.91593e12 | − | 4.71520e12i | −0.420028 | − | 0.286370i | ||||
\(866\) | 7.74179e12 | + | 1.34092e13i | 0.467747 | + | 0.810162i | ||||
\(867\) | 7.65422e12 | − | 1.32575e13i | 0.460061 | − | 0.796848i | ||||
\(868\) | −9.62107e11 | + | 4.63326e11i | −0.0575287 | + | 0.0277044i | ||||
\(869\) | −1.04834e12 | − | 3.23371e11i | −0.0623612 | − | 0.0192359i | ||||
\(870\) | −6.84701e11 | − | 9.13670e12i | −0.0405195 | − | 0.540696i | ||||
\(871\) | −3.98622e11 | − | 1.74648e12i | −0.0234682 | − | 0.102821i | ||||
\(872\) | 2.61595e12 | − | 6.66534e12i | 0.153217 | − | 0.390390i | ||||
\(873\) | −4.47722e11 | + | 5.97444e12i | −0.0260882 | + | 0.348123i | ||||
\(874\) | −1.82796e13 | + | 2.75520e12i | −1.05965 | + | 0.159717i | ||||
\(875\) | 2.53988e12 | + | 2.35667e12i | 0.146480 | + | 0.135913i | ||||
\(876\) | −2.14362e12 | − | 1.03231e12i | −0.122992 | − | 0.0592300i | ||||
\(877\) | −6.03315e12 | + | 4.11333e12i | −0.344386 | + | 0.234799i | −0.723144 | − | 0.690697i | \(-0.757304\pi\) |
0.378758 | + | 0.925496i | \(0.376351\pi\) | |||||||
\(878\) | −7.43908e12 | − | 1.89545e13i | −0.422468 | − | 1.07643i | ||||
\(879\) | −9.05827e12 | + | 2.79411e12i | −0.511794 | + | 0.157868i | ||||
\(880\) | 7.30373e12 | − | 6.77687e12i | 0.410556 | − | 0.380940i | ||||
\(881\) | −1.07604e13 | + | 1.34931e13i | −0.601778 | + | 0.754605i | −0.985654 | − | 0.168779i | \(-0.946017\pi\) |
0.383876 | + | 0.923385i | \(0.374589\pi\) | |||||||
\(882\) | 2.92738e12 | − | 3.67082e12i | 0.162881 | − | 0.204246i | ||||
\(883\) | 1.41087e13 | − | 1.30910e13i | 0.781024 | − | 0.724684i | −0.185112 | − | 0.982717i | \(-0.559265\pi\) |
0.966136 | + | 0.258033i | \(0.0830744\pi\) | |||||||
\(884\) | 7.03101e12 | − | 2.16878e12i | 0.387242 | − | 0.119448i | ||||
\(885\) | −6.71943e12 | − | 1.71208e13i | −0.368203 | − | 0.938167i | ||||
\(886\) | −5.96345e12 | + | 4.06581e12i | −0.325122 | + | 0.221664i | ||||
\(887\) | −2.46842e13 | − | 1.18873e13i | −1.33894 | − | 0.644802i | −0.379105 | − | 0.925353i | \(-0.623768\pi\) |
−0.959839 | + | 0.280552i | \(0.909483\pi\) | |||||||
\(888\) | 8.79712e12 | + | 8.16253e12i | 0.474769 | + | 0.440521i | ||||
\(889\) | −4.02875e12 | + | 6.07236e11i | −0.216328 | + | 0.0326061i | ||||
\(890\) | 4.80335e11 | − | 6.40962e12i | 0.0256619 | − | 0.342434i | ||||
\(891\) | −5.08310e12 | + | 1.29515e13i | −0.270196 | + | 0.688448i | ||||
\(892\) | 2.05649e12 | + | 9.01006e12i | 0.108764 | + | 0.476525i | ||||
\(893\) | 4.50799e11 | + | 6.01550e12i | 0.0237220 | + | 0.316548i | ||||
\(894\) | −1.72433e13 | − | 5.31886e12i | −0.902822 | − | 0.278484i | ||||
\(895\) | −8.30089e12 | + | 3.99750e12i | −0.432435 | + | 0.208250i | ||||
\(896\) | 1.59942e12 | − | 2.77027e12i | 0.0829040 | − | 0.143594i | ||||
\(897\) | −3.83325e12 | − | 6.63939e12i | −0.197698 | − | 0.342422i | ||||
\(898\) | 1.96979e13 | + | 1.34298e13i | 1.01083 | + | 0.689169i | ||||
\(899\) | 1.27273e12 | − | 5.57619e12i | 0.0649856 | − | 0.284720i | ||||
\(900\) | 1.26209e12 | + | 1.90230e11i | 0.0641210 | + | 0.00966468i | ||||
\(901\) | 7.49612e12 | + | 9.39984e12i | 0.378944 | + | 0.475181i | ||||
\(902\) | −1.90262e11 | −0.00957023 | ||||||||
\(903\) | −3.28347e12 | + | 2.49986e12i | −0.164338 | + | 0.125118i | ||||
\(904\) | 2.99871e12 | 0.149340 | ||||||||
\(905\) | −1.26629e13 | − | 1.58788e13i | −0.627502 | − | 0.786863i | ||||
\(906\) | −1.47684e13 | − | 2.22597e12i | −0.728208 | − | 0.109760i | ||||
\(907\) | 6.99583e11 | − | 3.06507e12i | 0.0343247 | − | 0.150386i | −0.954862 | − | 0.297051i | \(-0.903997\pi\) |
0.989186 | + | 0.146665i | \(0.0468539\pi\) | |||||||
\(908\) | −1.70958e13 | − | 1.16557e13i | −0.834646 | − | 0.569052i | ||||
\(909\) | −2.68645e12 | − | 4.65307e12i | −0.130509 | − | 0.226049i | ||||
\(910\) | 8.44986e11 | − | 1.46356e12i | 0.0408473 | − | 0.0707496i | ||||
\(911\) | −1.14440e13 | + | 5.51115e12i | −0.550486 | + | 0.265100i | −0.688384 | − | 0.725346i | \(-0.741680\pi\) |
0.137898 | + | 0.990446i | \(0.455965\pi\) | |||||||
\(912\) | 3.02113e13 | + | 9.31894e12i | 1.44608 | + | 0.446056i | ||||
\(913\) | 4.04175e11 | + | 5.39335e12i | 0.0192509 | + | 0.256886i | ||||
\(914\) | −5.79738e12 | − | 2.54000e13i | −0.274773 | − | 1.20386i | ||||
\(915\) | 1.83823e11 | − | 4.68375e11i | 0.00866974 | − | 0.0220901i | ||||
\(916\) | −1.83538e12 | + | 2.44915e13i | −0.0861384 | + | 1.14944i | ||||
\(917\) | −9.31280e11 | + | 1.40368e11i | −0.0434929 | + | 0.00655550i | ||||
\(918\) | 2.36501e13 | + | 2.19440e13i | 1.09911 | + | 1.01982i | ||||
\(919\) | 4.18728e12 | + | 2.01649e12i | 0.193648 | + | 0.0932558i | 0.528195 | − | 0.849123i | \(-0.322869\pi\) |
−0.334547 | + | 0.942379i | \(0.608583\pi\) | |||||||
\(920\) | −4.60421e12 | + | 3.13910e12i | −0.211890 | + | 0.144464i | ||||
\(921\) | −1.57838e13 | − | 4.02165e13i | −0.722842 | − | 1.84177i | ||||
\(922\) | 2.61270e13 | − | 8.05911e12i | 1.19069 | − | 0.367281i | ||||
\(923\) | 1.12685e12 | − | 1.04556e12i | 0.0511042 | − | 0.0474178i | ||||
\(924\) | −1.13522e12 | + | 1.42352e12i | −0.0512336 | + | 0.0642449i | ||||
\(925\) | −8.37016e12 | + | 1.04958e13i | −0.375920 | + | 0.471389i | ||||
\(926\) | −6.68211e12 | + | 6.20010e12i | −0.298651 | + | 0.277108i | ||||
\(927\) | 2.10901e12 | − | 6.50544e11i | 0.0938037 | − | 0.0289346i | ||||
\(928\) | −4.88765e12 | − | 1.24535e13i | −0.216339 | − | 0.551222i | ||||
\(929\) | 1.45583e13 | − | 9.92565e12i | 0.641267 | − | 0.437208i | −0.198541 | − | 0.980093i | \(-0.563620\pi\) |
0.839807 | + | 0.542884i | \(0.182668\pi\) | |||||||
\(930\) | −1.12142e13 | − | 5.40049e12i | −0.491582 | − | 0.236734i | ||||
\(931\) | 1.80632e13 | + | 1.67602e13i | 0.787989 | + | 0.731147i | ||||
\(932\) | 1.38625e13 | − | 2.08943e12i | 0.601824 | − | 0.0907103i | ||||
\(933\) | −5.79813e11 | + | 7.73706e12i | −0.0250507 | + | 0.334279i | ||||
\(934\) | 1.52518e12 | − | 3.88610e12i | 0.0655785 | − | 0.167091i | ||||
\(935\) | −3.19868e12 | − | 1.40143e13i | −0.136873 | − | 0.599680i | ||||
\(936\) | 8.42347e10 | + | 1.12403e12i | 0.00358715 | + | 0.0478672i | ||||
\(937\) | 4.00774e11 | + | 1.23622e11i | 0.0169852 | + | 0.00523925i | 0.303236 | − | 0.952915i | \(-0.401933\pi\) |
−0.286251 | + | 0.958155i | \(0.592409\pi\) | |||||||
\(938\) | 1.13192e12 | − | 5.45104e11i | 0.0477423 | − | 0.0229915i | ||||
\(939\) | −1.59847e13 | + | 2.76863e13i | −0.670979 | + | 1.16217i | ||||
\(940\) | −1.53400e12 | − | 2.65697e12i | −0.0640842 | − | 0.110997i | ||||
\(941\) | −2.07481e13 | − | 1.41458e13i | −0.862632 | − | 0.588133i | 0.0491570 | − | 0.998791i | \(-0.484347\pi\) |
−0.911789 | + | 0.410658i | \(0.865299\pi\) | |||||||
\(942\) | 9.47711e12 | − | 4.15219e13i | 0.392145 | − | 1.71810i | ||||
\(943\) | 2.14282e11 | + | 3.22978e10i | 0.00882435 | + | 0.00133006i | ||||
\(944\) | −2.39767e13 | − | 3.00658e13i | −0.982687 | − | 1.23225i | ||||
\(945\) | 2.85805e12 | 0.116581 | ||||||||
\(946\) | −1.58445e13 | + | 1.20632e13i | −0.643235 | + | 0.489725i | ||||
\(947\) | 7.93890e12 | 0.320764 | 0.160382 | − | 0.987055i | \(-0.448727\pi\) | ||||
0.160382 | + | 0.987055i | \(0.448727\pi\) | |||||||
\(948\) | 1.10391e12 | + | 1.38426e12i | 0.0443911 | + | 0.0556646i | ||||
\(949\) | 2.32426e12 | + | 3.50325e11i | 0.0930221 | + | 0.0140208i | ||||
\(950\) | −3.86458e12 | + | 1.69318e13i | −0.153938 | + | 0.674447i | ||||
\(951\) | 2.04714e12 | + | 1.39571e12i | 0.0811585 | + | 0.0553330i | ||||
\(952\) | −1.52924e12 | − | 2.64873e12i | −0.0603407 | − | 0.104513i | ||||
\(953\) | 6.90943e12 | − | 1.19675e13i | 0.271346 | − | 0.469986i | −0.697860 | − | 0.716234i | \(-0.745864\pi\) |
0.969207 | + | 0.246248i | \(0.0791977\pi\) | |||||||
\(954\) | 2.79977e12 | − | 1.34830e12i | 0.109434 | − | 0.0527008i | ||||
\(955\) | 9.31844e12 | + | 2.87436e12i | 0.362517 | + | 0.111822i | ||||
\(956\) | −2.01788e12 | − | 2.69267e13i | −0.0781330 | − | 1.04261i | ||||
\(957\) | −2.17006e12 | − | 9.50764e12i | −0.0836310 | − | 0.366411i | ||||
\(958\) | 5.38848e12 | − | 1.37296e13i | 0.206691 | − | 0.526640i | ||||
\(959\) | −2.78411e11 | + | 3.71513e12i | −0.0106292 | + | 0.141837i | ||||
\(960\) | −3.46459e12 | + | 5.22203e11i | −0.131653 | + | 0.0198435i | ||||
\(961\) | 1.36858e13 | + | 1.26986e13i | 0.517626 | + | 0.480286i | ||||
\(962\) | 1.80220e13 | + | 8.67895e12i | 0.678447 | + | 0.326723i | ||||
\(963\) | −3.86318e12 | + | 2.63387e12i | −0.144753 | + | 0.0986908i | ||||
\(964\) | −1.02224e13 | − | 2.60462e13i | −0.381246 | − | 0.971400i | ||||
\(965\) | 1.03543e13 | − | 3.19388e12i | 0.384369 | − | 0.118562i | ||||
\(966\) | 3.94138e12 | − | 3.65706e12i | 0.145630 | − | 0.135125i | ||||
\(967\) | −2.24456e13 | + | 2.81459e13i | −0.825489 | + | 1.03513i | 0.173247 | + | 0.984878i | \(0.444574\pi\) |
−0.998737 | + | 0.0502525i | \(0.983997\pi\) | |||||||
\(968\) | −4.84001e12 | + | 6.06918e12i | −0.177177 | + | 0.222173i | ||||
\(969\) | 3.34372e13 | − | 3.10251e13i | 1.21835 | − | 1.13046i | ||||
\(970\) | 3.96194e13 | − | 1.22210e13i | 1.43693 | − | 0.443233i | ||||
\(971\) | 2.00354e13 | + | 5.10493e13i | 0.723287 | + | 1.84291i | 0.493742 | + | 0.869608i | \(0.335629\pi\) |
0.229545 | + | 0.973298i | \(0.426276\pi\) | |||||||
\(972\) | 6.03066e12 | − | 4.11164e12i | 0.216704 | − | 0.147746i | ||||
\(973\) | −8.03268e12 | − | 3.86834e12i | −0.287311 | − | 0.138362i | ||||
\(974\) | 1.30730e13 | + | 1.21300e13i | 0.465437 | + | 0.431862i | ||||
\(975\) | −7.12209e12 | + | 1.07348e12i | −0.252398 | + | 0.0380429i | ||||
\(976\) | 7.86184e10 | − | 1.04909e12i | 0.00277332 | − | 0.0370074i | ||||
\(977\) | 1.29396e13 | − | 3.29695e13i | 0.454355 | − | 1.15768i | −0.501844 | − | 0.864958i | \(-0.667345\pi\) |
0.956199 | − | 0.292718i | \(-0.0945599\pi\) | |||||||
\(978\) | 1.38401e12 | + | 6.06375e12i | 0.0483743 | + | 0.211942i | ||||
\(979\) | −5.11256e11 | − | 6.82224e12i | −0.0177876 | − | 0.237358i | ||||
\(980\) | −1.19754e13 | − | 3.69393e12i | −0.414738 | − | 0.127930i | ||||
\(981\) | −4.89901e12 | + | 2.35924e12i | −0.168888 | + | 0.0813319i | ||||
\(982\) | 1.54832e13 | − | 2.68177e13i | 0.531324 | − | 0.920280i | ||||
\(983\) | 2.77750e12 | + | 4.81076e12i | 0.0948773 | + | 0.164332i | 0.909557 | − | 0.415578i | \(-0.136421\pi\) |
−0.814680 | + | 0.579911i | \(0.803087\pi\) | |||||||
\(984\) | −1.50369e11 | − | 1.02520e11i | −0.00511305 | − | 0.00348602i | ||||
\(985\) | 2.97657e12 | − | 1.30412e13i | 0.100752 | − | 0.441422i | ||||
\(986\) | −2.73302e13 | − | 4.11937e12i | −0.920867 | − | 0.138798i | ||||
\(987\) | −1.09392e12 | − | 1.37174e12i | −0.0366910 | − | 0.0460091i | ||||
\(988\) | 9.98086e12 | 0.333244 | ||||||||
\(989\) | 1.98926e13 | − | 1.08965e13i | 0.661164 | − | 0.362162i | ||||
\(990\) | −3.71539e12 | −0.122927 | ||||||||
\(991\) | −2.03596e13 | − | 2.55301e13i | −0.670559 | − | 0.840855i | 0.323888 | − | 0.946096i | \(-0.395010\pi\) |
−0.994447 | + | 0.105241i | \(0.966439\pi\) | |||||||
\(992\) | −1.79712e13 | − | 2.70873e12i | −0.589217 | − | 0.0888102i | ||||
\(993\) | −9.97070e11 | + | 4.36845e12i | −0.0325427 | + | 0.142579i | ||||
\(994\) | 8.90741e11 | + | 6.07297e11i | 0.0289409 | + | 0.0197316i | ||||
\(995\) | 1.49366e13 | + | 2.58709e13i | 0.483111 | + | 0.836772i | ||||
\(996\) | 4.36424e12 | − | 7.55908e12i | 0.140521 | − | 0.243390i | ||||
\(997\) | −3.67279e13 | + | 1.76872e13i | −1.17725 | + | 0.566933i | −0.917108 | − | 0.398638i | \(-0.869483\pi\) |
−0.260140 | + | 0.965571i | \(0.583769\pi\) | |||||||
\(998\) | 4.55409e13 | + | 1.40475e13i | 1.45316 | + | 0.448241i | ||||
\(999\) | 2.52802e12 | + | 3.37340e13i | 0.0803037 | + | 1.07158i |
(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.9.7 | ✓ | 384 | |
43.24 | even | 21 | inner | 43.10.g.a.24.7 | yes | 384 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
43.10.g.a.9.7 | ✓ | 384 | 1.1 | even | 1 | trivial | |
43.10.g.a.24.7 | yes | 384 | 43.24 | even | 21 | inner |