Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [21,9,Mod(10,21)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(21, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 1]))
N = Newforms(chi, 9, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("21.10");
S:= CuspForms(chi, 9);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 21 = 3 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 9 \) |
Character orbit: | \([\chi]\) | \(=\) | 21.f (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(8.55495081128\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{6})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{12} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{12} - 3 x^{11} + 1331 x^{10} + 1482 x^{9} + 1359381 x^{8} + 1222227 x^{7} + 474169529 x^{6} + \cdots + 556282980265104 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 2^{8}\cdot 3^{5}\cdot 7^{5} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 10.6 | ||
Root | \(-14.8255 + 25.6786i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 21.10 |
Dual form | 21.9.f.b.19.6 |
$q$-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 \(\left(\mathbb{Z}/21\mathbb{Z}\right)^\times\).
\(n\) | \(8\) | \(10\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 15.3255 | + | 26.5446i | 0.957846 | + | 1.65904i | 0.727716 | + | 0.685879i | \(0.240582\pi\) |
0.230131 | + | 0.973160i | \(0.426085\pi\) | |||||||
\(3\) | 40.5000 | + | 23.3827i | 0.500000 | + | 0.288675i | ||||
\(4\) | −341.745 | + | 591.919i | −1.33494 | + | 2.31218i | ||||
\(5\) | 563.914 | − | 325.576i | 0.902263 | − | 0.520922i | 0.0243292 | − | 0.999704i | \(-0.492255\pi\) |
0.877934 | + | 0.478782i | \(0.158922\pi\) | |||||||
\(6\) | 1433.41i | 1.10603i | ||||||||
\(7\) | −1071.89 | + | 2148.45i | −0.446435 | + | 0.894816i | ||||
\(8\) | −13103.0 | −3.19898 | ||||||||
\(9\) | 1093.50 | + | 1894.00i | 0.166667 | + | 0.288675i | ||||
\(10\) | 17284.6 | + | 9979.26i | 1.72846 | + | 0.997926i | ||||
\(11\) | 12256.7 | − | 21229.2i | 0.837150 | − | 1.44999i | −0.0551184 | − | 0.998480i | \(-0.517554\pi\) |
0.892268 | − | 0.451506i | \(-0.149113\pi\) | |||||||
\(12\) | −27681.3 | + | 15981.8i | −1.33494 | + | 0.770728i | ||||
\(13\) | − | 1952.42i | − | 0.0683595i | −0.999416 | − | 0.0341798i | \(-0.989118\pi\) | ||
0.999416 | − | 0.0341798i | \(-0.0108819\pi\) | |||||||
\(14\) | −73457.2 | + | 4473.33i | −1.91215 | + | 0.116444i | ||||
\(15\) | 30451.4 | 0.601509 | ||||||||
\(16\) | −113324. | − | 196283.i | −1.72919 | − | 2.99504i | ||||
\(17\) | 54853.7 | + | 31669.8i | 0.656766 | + | 0.379184i | 0.791044 | − | 0.611760i | \(-0.209538\pi\) |
−0.134278 | + | 0.990944i | \(0.542871\pi\) | |||||||
\(18\) | −33517.0 | + | 58053.1i | −0.319282 | + | 0.553013i | ||||
\(19\) | −19861.3 | + | 11467.0i | −0.152403 | + | 0.0879901i | −0.574262 | − | 0.818671i | \(-0.694711\pi\) |
0.421859 | + | 0.906661i | \(0.361378\pi\) | |||||||
\(20\) | 445055.i | 2.78160i | ||||||||
\(21\) | −93648.1 | + | 61948.7i | −0.481528 | + | 0.318534i | ||||
\(22\) | 751363. | 3.20744 | ||||||||
\(23\) | 65128.8 | + | 112806.i | 0.232735 | + | 0.403109i | 0.958612 | − | 0.284716i | \(-0.0918992\pi\) |
−0.725877 | + | 0.687824i | \(0.758566\pi\) | |||||||
\(24\) | −530672. | − | 306383.i | −1.59949 | − | 0.923465i | ||||
\(25\) | 16687.1 | − | 28902.8i | 0.0427189 | − | 0.0739913i | ||||
\(26\) | 51826.1 | − | 29921.8i | 0.113411 | − | 0.0654779i | ||||
\(27\) | 102276.i | 0.192450i | ||||||||
\(28\) | −905398. | − | 1.36869e6i | −1.47302 | − | 2.22676i | ||||
\(29\) | 415506. | 0.587469 | 0.293735 | − | 0.955887i | \(-0.405102\pi\) | ||||
0.293735 | + | 0.955887i | \(0.405102\pi\) | |||||||
\(30\) | 466684. | + | 808320.i | 0.576153 | + | 0.997926i | ||||
\(31\) | 950531. | + | 548789.i | 1.02925 | + | 0.594236i | 0.916769 | − | 0.399418i | \(-0.130788\pi\) |
0.112478 | + | 0.993654i | \(0.464121\pi\) | |||||||
\(32\) | 1.79632e6 | − | 3.11132e6i | 1.71310 | − | 2.96718i | ||||
\(33\) | 992793. | − | 573190.i | 0.837150 | − | 0.483329i | ||||
\(34\) | 1.94143e6i | 1.45280i | ||||||||
\(35\) | 95031.5 | + | 1.56053e6i | 0.0633280 | + | 1.03992i | ||||
\(36\) | −1.49479e6 | −0.889960 | ||||||||
\(37\) | −636959. | − | 1.10325e6i | −0.339864 | − | 0.588661i | 0.644543 | − | 0.764568i | \(-0.277048\pi\) |
−0.984407 | + | 0.175907i | \(0.943714\pi\) | |||||||
\(38\) | −608772. | − | 351475.i | −0.291958 | − | 0.168562i | ||||
\(39\) | 45652.7 | − | 79072.9i | 0.0197337 | − | 0.0341798i | ||||
\(40\) | −7.38897e6 | + | 4.26602e6i | −2.88632 | + | 1.66642i | ||||
\(41\) | − | 4.21678e6i | − | 1.49226i | −0.665798 | − | 0.746132i | \(-0.731909\pi\) | ||
0.665798 | − | 0.746132i | \(-0.268091\pi\) | |||||||
\(42\) | −3.07961e6 | − | 1.53646e6i | −0.989690 | − | 0.493768i | ||||
\(43\) | −1.04779e6 | −0.306479 | −0.153240 | − | 0.988189i | \(-0.548971\pi\) | ||||
−0.153240 | + | 0.988189i | \(0.548971\pi\) | |||||||
\(44\) | 8.37733e6 | + | 1.45100e7i | 2.23509 | + | 3.87129i | ||||
\(45\) | 1.23328e6 | + | 712035.i | 0.300754 | + | 0.173641i | ||||
\(46\) | −1.99627e6 | + | 3.45764e6i | −0.445849 | + | 0.772232i | ||||
\(47\) | −1.94584e6 | + | 1.12343e6i | −0.398765 | + | 0.230227i | −0.685951 | − | 0.727648i | \(-0.740614\pi\) |
0.287186 | + | 0.957875i | \(0.407280\pi\) | |||||||
\(48\) | − | 1.05993e7i | − | 1.99669i | ||||||
\(49\) | −3.46691e6 | − | 4.60581e6i | −0.601392 | − | 0.798954i | ||||
\(50\) | 1.02295e6 | 0.163672 | ||||||||
\(51\) | 1.48105e6 | + | 2.56525e6i | 0.218922 | + | 0.379184i | ||||
\(52\) | 1.15567e6 | + | 667228.i | 0.158060 | + | 0.0912558i | ||||
\(53\) | 1.65326e6 | − | 2.86353e6i | 0.209526 | − | 0.362909i | −0.742040 | − | 0.670356i | \(-0.766141\pi\) |
0.951565 | + | 0.307447i | \(0.0994747\pi\) | |||||||
\(54\) | −2.71487e6 | + | 1.56743e6i | −0.319282 | + | 0.184338i | ||||
\(55\) | − | 1.59620e7i | − | 1.74436i | ||||||
\(56\) | 1.40450e7 | − | 2.81512e7i | 1.42813 | − | 2.86250i | ||||
\(57\) | −1.07251e6 | −0.101602 | ||||||||
\(58\) | 6.36785e6 | + | 1.10294e7i | 0.562706 | + | 0.974635i | ||||
\(59\) | −1.48113e7 | − | 8.55134e6i | −1.22232 | − | 0.705709i | −0.256912 | − | 0.966435i | \(-0.582705\pi\) |
−0.965413 | + | 0.260725i | \(0.916038\pi\) | |||||||
\(60\) | −1.04066e7 | + | 1.80247e7i | −0.802978 | + | 1.39080i | ||||
\(61\) | 2.44056e6 | − | 1.40906e6i | 0.176267 | − | 0.101768i | −0.409271 | − | 0.912413i | \(-0.634217\pi\) |
0.585538 | + | 0.810645i | \(0.300883\pi\) | |||||||
\(62\) | 3.36420e7i | 2.27675i | ||||||||
\(63\) | −5.24128e6 | + | 319179.i | −0.332717 | + | 0.0202615i | ||||
\(64\) | 5.20964e7 | 3.10519 | ||||||||
\(65\) | −635660. | − | 1.10100e6i | −0.0356100 | − | 0.0616783i | ||||
\(66\) | 3.04302e7 | + | 1.75689e7i | 1.60372 | + | 0.925909i | ||||
\(67\) | 1.33511e7 | − | 2.31248e7i | 0.662550 | − | 1.14757i | −0.317393 | − | 0.948294i | \(-0.602808\pi\) |
0.979943 | − | 0.199276i | \(-0.0638591\pi\) | |||||||
\(68\) | −3.74919e7 | + | 2.16460e7i | −1.75348 | + | 1.01237i | ||||
\(69\) | 6.09154e6i | 0.268739i | ||||||||
\(70\) | −3.99671e7 | + | 2.64385e7i | −1.66460 | + | 1.10114i | ||||
\(71\) | 1.07071e7 | 0.421347 | 0.210674 | − | 0.977556i | \(-0.432434\pi\) | ||||
0.210674 | + | 0.977556i | \(0.432434\pi\) | |||||||
\(72\) | −1.43281e7 | − | 2.48171e7i | −0.533163 | − | 0.923465i | ||||
\(73\) | −2.55681e7 | − | 1.47617e7i | −0.900340 | − | 0.519812i | −0.0230295 | − | 0.999735i | \(-0.507331\pi\) |
−0.877310 | + | 0.479923i | \(0.840665\pi\) | |||||||
\(74\) | 1.95235e7 | − | 3.38157e7i | 0.651075 | − | 1.12769i | ||||
\(75\) | 1.35165e6 | − | 780377.i | 0.0427189 | − | 0.0246638i | ||||
\(76\) | − | 1.56751e7i | − | 0.469846i | ||||||
\(77\) | 3.24722e7 | + | 4.90884e7i | 0.923738 | + | 1.39642i | ||||
\(78\) | 2.79861e6 | 0.0756074 | ||||||||
\(79\) | −1.28884e7 | − | 2.23234e7i | −0.330896 | − | 0.573129i | 0.651791 | − | 0.758398i | \(-0.274018\pi\) |
−0.982688 | + | 0.185269i | \(0.940684\pi\) | |||||||
\(80\) | −1.27810e8 | − | 7.37912e7i | −3.12036 | − | 1.80154i | ||||
\(81\) | −2.39148e6 | + | 4.14217e6i | −0.0555556 | + | 0.0962250i | ||||
\(82\) | 1.11933e8 | − | 6.46245e7i | 2.47572 | − | 1.42936i | ||||
\(83\) | 8.30488e7i | 1.74993i | 0.484185 | + | 0.874966i | \(0.339116\pi\) | ||||
−0.484185 | + | 0.874966i | \(0.660884\pi\) | |||||||
\(84\) | −4.66489e6 | − | 7.66027e7i | −0.0936966 | − | 1.53861i | ||||
\(85\) | 4.12437e7 | 0.790100 | ||||||||
\(86\) | −1.60580e7 | − | 2.78132e7i | −0.293560 | − | 0.508461i | ||||
\(87\) | 1.68280e7 | + | 9.71565e6i | 0.293735 | + | 0.169588i | ||||
\(88\) | −1.60600e8 | + | 2.78167e8i | −2.67802 | + | 4.63847i | ||||
\(89\) | 3.82648e7 | − | 2.20922e7i | 0.609874 | − | 0.352111i | −0.163042 | − | 0.986619i | \(-0.552131\pi\) |
0.772916 | + | 0.634508i | \(0.218797\pi\) | |||||||
\(90\) | 4.36493e7i | 0.665284i | ||||||||
\(91\) | 4.19468e6 | + | 2.09277e6i | 0.0611692 | + | 0.0305180i | ||||
\(92\) | −8.90296e7 | −1.24275 | ||||||||
\(93\) | 2.56643e7 | + | 4.44519e7i | 0.343082 | + | 0.594236i | ||||
\(94\) | −5.96423e7 | − | 3.44345e7i | −0.763911 | − | 0.441044i | ||||
\(95\) | −7.46673e6 | + | 1.29328e7i | −0.0916719 | + | 0.158780i | ||||
\(96\) | 1.45502e8 | − | 8.40056e7i | 1.71310 | − | 0.989061i | ||||
\(97\) | − | 3.44602e7i | − | 0.389252i | −0.980878 | − | 0.194626i | \(-0.937651\pi\) | ||
0.980878 | − | 0.194626i | \(-0.0623493\pi\) | |||||||
\(98\) | 6.91272e7 | − | 1.62614e8i | 0.749454 | − | 1.76301i | ||||
\(99\) | 5.36108e7 | 0.558100 | ||||||||
\(100\) | 1.14054e7 | + | 1.97548e7i | 0.114054 | + | 0.197548i | ||||
\(101\) | 2.88103e7 | + | 1.66336e7i | 0.276861 | + | 0.159846i | 0.632002 | − | 0.774967i | \(-0.282234\pi\) |
−0.355140 | + | 0.934813i | \(0.615567\pi\) | |||||||
\(102\) | −4.53958e7 | + | 7.86278e7i | −0.419387 | + | 0.726400i | ||||
\(103\) | −1.60995e8 | + | 9.29506e7i | −1.43042 | + | 0.825854i | −0.997153 | − | 0.0754108i | \(-0.975973\pi\) |
−0.433269 | + | 0.901265i | \(0.642640\pi\) | |||||||
\(104\) | 2.55825e7i | 0.218680i | ||||||||
\(105\) | −3.26405e7 | + | 6.54234e7i | −0.268534 | + | 0.538240i | ||||
\(106\) | 1.01348e8 | 0.802774 | ||||||||
\(107\) | 383824. | + | 664802.i | 0.00292817 | + | 0.00507174i | 0.867486 | − | 0.497462i | \(-0.165735\pi\) |
−0.864558 | + | 0.502534i | \(0.832401\pi\) | |||||||
\(108\) | −6.05390e7 | − | 3.49522e7i | −0.444980 | − | 0.256909i | ||||
\(109\) | 2.21977e7 | − | 3.84475e7i | 0.157254 | − | 0.272372i | −0.776624 | − | 0.629965i | \(-0.783069\pi\) |
0.933877 | + | 0.357593i | \(0.116403\pi\) | |||||||
\(110\) | 4.23704e8 | − | 2.44626e8i | 2.89396 | − | 1.67083i | ||||
\(111\) | − | 5.95753e7i | − | 0.392441i | ||||||
\(112\) | 5.43176e8 | − | 3.30778e7i | 3.45198 | − | 0.210216i | ||||
\(113\) | −2.61458e8 | −1.60357 | −0.801784 | − | 0.597613i | \(-0.796116\pi\) | ||||
−0.801784 | + | 0.597613i | \(0.796116\pi\) | |||||||
\(114\) | −1.64368e7 | − | 2.84694e7i | −0.0973193 | − | 0.168562i | ||||
\(115\) | 7.34541e7 | + | 4.24087e7i | 0.419976 | + | 0.242473i | ||||
\(116\) | −1.41997e8 | + | 2.45946e8i | −0.784236 | + | 1.35834i | ||||
\(117\) | 3.69787e6 | − | 2.13497e6i | 0.0197337 | − | 0.0113933i | ||||
\(118\) | − | 5.24215e8i | − | 2.70385i | ||||||
\(119\) | −1.26838e8 | + | 8.39042e7i | −0.632503 | + | 0.418404i | ||||
\(120\) | −3.99004e8 | −1.92421 | ||||||||
\(121\) | −1.93274e8 | − | 3.34761e8i | −0.901639 | − | 1.56168i | ||||
\(122\) | 7.48059e7 | + | 4.31892e7i | 0.337673 | + | 0.194956i | ||||
\(123\) | 9.85997e7 | − | 1.70780e8i | 0.430780 | − | 0.746132i | ||||
\(124\) | −6.49678e8 | + | 3.75091e8i | −2.74796 | + | 1.58654i | ||||
\(125\) | 2.32625e8i | 0.952831i | ||||||||
\(126\) | −8.87979e7 | − | 1.34236e8i | −0.352306 | − | 0.532583i | ||||
\(127\) | 2.92944e8 | 1.12608 | 0.563040 | − | 0.826429i | \(-0.309632\pi\) | ||||
0.563040 | + | 0.826429i | \(0.309632\pi\) | |||||||
\(128\) | 3.38548e8 | + | 5.86382e8i | 1.26119 | + | 2.18444i | ||||
\(129\) | −4.24356e7 | − | 2.45002e7i | −0.153240 | − | 0.0884730i | ||||
\(130\) | 1.94837e7 | − | 3.37467e7i | 0.0682177 | − | 0.118157i | ||||
\(131\) | 8.65228e6 | − | 4.99539e6i | 0.0293796 | − | 0.0169623i | −0.485238 | − | 0.874382i | \(-0.661267\pi\) |
0.514618 | + | 0.857420i | \(0.327934\pi\) | |||||||
\(132\) | 7.83538e8i | 2.58086i | ||||||||
\(133\) | −3.34706e6 | − | 5.49625e7i | −0.0106969 | − | 0.175655i | ||||
\(134\) | 8.18453e8 | 2.53848 | ||||||||
\(135\) | 3.32986e7 | + | 5.76748e7i | 0.100251 | + | 0.173641i | ||||
\(136\) | −7.18748e8 | − | 4.14970e8i | −2.10098 | − | 1.21300i | ||||
\(137\) | −1.62696e8 | + | 2.81798e8i | −0.461843 | + | 0.799936i | −0.999053 | − | 0.0435130i | \(-0.986145\pi\) |
0.537210 | + | 0.843449i | \(0.319478\pi\) | |||||||
\(138\) | −1.61698e8 | + | 9.33562e7i | −0.445849 | + | 0.257411i | ||||
\(139\) | 6.56035e8i | 1.75739i | 0.477384 | + | 0.878695i | \(0.341585\pi\) | ||||
−0.477384 | + | 0.878695i | \(0.658415\pi\) | |||||||
\(140\) | −9.56181e8 | − | 4.77050e8i | −2.48902 | − | 1.24180i | ||||
\(141\) | −1.05076e8 | −0.265843 | ||||||||
\(142\) | 1.64093e8 | + | 2.84217e8i | 0.403586 | + | 0.699031i | ||||
\(143\) | −4.14483e7 | − | 2.39302e7i | −0.0991203 | − | 0.0572272i | ||||
\(144\) | 2.47840e8 | − | 4.29271e8i | 0.576396 | − | 0.998347i | ||||
\(145\) | 2.34310e8 | − | 1.35279e8i | 0.530052 | − | 0.306026i | ||||
\(146\) | − | 9.04926e8i | − | 1.99160i | ||||||
\(147\) | −3.27136e7 | − | 2.67601e8i | −0.0700581 | − | 0.573084i | ||||
\(148\) | 8.70710e8 | 1.81479 | ||||||||
\(149\) | −4.44661e8 | − | 7.70175e8i | −0.902160 | − | 1.56259i | −0.824684 | − | 0.565593i | \(-0.808647\pi\) |
−0.0774758 | − | 0.996994i | \(-0.524686\pi\) | |||||||
\(150\) | 4.14296e7 | + | 2.39194e7i | 0.0818362 | + | 0.0472482i | ||||
\(151\) | 1.57670e8 | − | 2.73093e8i | 0.303279 | − | 0.525294i | −0.673598 | − | 0.739098i | \(-0.735252\pi\) |
0.976877 | + | 0.213804i | \(0.0685853\pi\) | |||||||
\(152\) | 2.60243e8 | − | 1.50252e8i | 0.487534 | − | 0.281478i | ||||
\(153\) | 1.38524e8i | 0.252789i | ||||||||
\(154\) | −8.05378e8 | + | 1.61427e9i | −1.43191 | + | 2.87007i | ||||
\(155\) | 7.14691e8 | 1.23820 | ||||||||
\(156\) | 3.12031e7 | + | 5.40454e7i | 0.0526866 | + | 0.0912558i | ||||
\(157\) | −4.07436e8 | − | 2.35233e8i | −0.670596 | − | 0.387169i | 0.125707 | − | 0.992067i | \(-0.459880\pi\) |
−0.796302 | + | 0.604899i | \(0.793214\pi\) | |||||||
\(158\) | 3.95045e8 | − | 6.84238e8i | 0.633896 | − | 1.09794i | ||||
\(159\) | 1.33914e8 | − | 7.73152e7i | 0.209526 | − | 0.120970i | ||||
\(160\) | − | 2.33936e9i | − | 3.56957i | ||||||
\(161\) | −3.12170e8 | + | 1.90103e7i | −0.464609 | + | 0.0282934i | ||||
\(162\) | −1.46603e8 | −0.212855 | ||||||||
\(163\) | 6.57963e8 | + | 1.13963e9i | 0.932076 | + | 1.61440i | 0.779767 | + | 0.626069i | \(0.215337\pi\) |
0.152308 | + | 0.988333i | \(0.451329\pi\) | |||||||
\(164\) | 2.49599e9 | + | 1.44106e9i | 3.45039 | + | 1.99208i | ||||
\(165\) | 3.73234e8 | − | 6.46460e8i | 0.503553 | − | 0.872179i | ||||
\(166\) | −2.20450e9 | + | 1.27277e9i | −2.90320 | + | 1.67617i | ||||
\(167\) | 8.84736e8i | 1.13749i | 0.822514 | + | 0.568745i | \(0.192571\pi\) | ||||
−0.822514 | + | 0.568745i | \(0.807429\pi\) | |||||||
\(168\) | 1.22707e9 | − | 8.11714e8i | 1.54040 | − | 1.01898i | ||||
\(169\) | 8.11919e8 | 0.995327 | ||||||||
\(170\) | 6.32083e8 | + | 1.09480e9i | 0.756795 | + | 1.31081i | ||||
\(171\) | −4.34368e7 | − | 2.50782e7i | −0.0508011 | − | 0.0293300i | ||||
\(172\) | 3.58077e8 | − | 6.20208e8i | 0.409132 | − | 0.708637i | ||||
\(173\) | −1.81737e8 | + | 1.04926e8i | −0.202889 | + | 0.117138i | −0.598003 | − | 0.801494i | \(-0.704039\pi\) |
0.395113 | + | 0.918632i | \(0.370705\pi\) | |||||||
\(174\) | 5.95590e8i | 0.649756i | ||||||||
\(175\) | 4.42097e7 | + | 6.68320e7i | 0.0471374 | + | 0.0712578i | ||||
\(176\) | −5.55592e9 | −5.79035 | ||||||||
\(177\) | −3.99906e8 | − | 6.92658e8i | −0.407442 | − | 0.705709i | ||||
\(178\) | 1.17286e9 | + | 6.77151e8i | 1.16833 | + | 0.674536i | ||||
\(179\) | 3.71272e8 | − | 6.43062e8i | 0.361643 | − | 0.626384i | −0.626588 | − | 0.779350i | \(-0.715549\pi\) |
0.988231 | + | 0.152966i | \(0.0488826\pi\) | |||||||
\(180\) | −8.42934e8 | + | 4.86668e8i | −0.802978 | + | 0.463599i | ||||
\(181\) | 5.39407e8i | 0.502577i | 0.967912 | + | 0.251288i | \(0.0808542\pi\) | ||||
−0.967912 | + | 0.251288i | \(0.919146\pi\) | |||||||
\(182\) | 8.73381e6 | + | 1.43419e8i | 0.00796009 | + | 0.130714i | ||||
\(183\) | 1.31790e8 | 0.117511 | ||||||||
\(184\) | −8.53382e8 | − | 1.47810e9i | −0.744513 | − | 1.28953i | ||||
\(185\) | −7.18381e8 | − | 4.14757e8i | −0.613293 | − | 0.354085i | ||||
\(186\) | −7.86640e8 | + | 1.36250e9i | −0.657240 | + | 1.13837i | ||||
\(187\) | 1.34465e9 | − | 7.76335e8i | 1.09962 | − | 0.634867i | ||||
\(188\) | − | 1.53571e9i | − | 1.22936i | ||||||
\(189\) | −2.19735e8 | − | 1.09628e8i | −0.172207 | − | 0.0859164i | ||||
\(190\) | −4.57727e8 | −0.351230 | ||||||||
\(191\) | −2.56904e8 | − | 4.44971e8i | −0.193036 | − | 0.334348i | 0.753219 | − | 0.657770i | \(-0.228500\pi\) |
−0.946255 | + | 0.323422i | \(0.895167\pi\) | |||||||
\(192\) | 2.10990e9 | + | 1.21815e9i | 1.55259 | + | 0.896391i | ||||
\(193\) | −2.20212e8 | + | 3.81419e8i | −0.158713 | + | 0.274899i | −0.934405 | − | 0.356213i | \(-0.884068\pi\) |
0.775692 | + | 0.631112i | \(0.217401\pi\) | |||||||
\(194\) | 9.14732e8 | − | 5.28121e8i | 0.645784 | − | 0.372843i | ||||
\(195\) | − | 5.94538e7i | − | 0.0411188i | ||||||
\(196\) | 3.91106e9 | − | 4.78118e8i | 2.65015 | − | 0.323975i | ||||
\(197\) | −2.91630e8 | −0.193628 | −0.0968139 | − | 0.995303i | \(-0.530865\pi\) | ||||
−0.0968139 | + | 0.995303i | \(0.530865\pi\) | |||||||
\(198\) | 8.21615e8 | + | 1.42308e9i | 0.534574 | + | 0.925909i | ||||
\(199\) | −1.65949e9 | − | 9.58107e8i | −1.05819 | − | 0.610944i | −0.133256 | − | 0.991082i | \(-0.542543\pi\) |
−0.924930 | + | 0.380137i | \(0.875877\pi\) | |||||||
\(200\) | −2.18651e8 | + | 3.78714e8i | −0.136657 | + | 0.236696i | ||||
\(201\) | 1.08144e9 | − | 6.24370e8i | 0.662550 | − | 0.382523i | ||||
\(202\) | 1.01968e9i | 0.612432i | ||||||||
\(203\) | −4.45376e8 | + | 8.92696e8i | −0.262267 | + | 0.525677i | ||||
\(204\) | −2.02456e9 | −1.16899 | ||||||||
\(205\) | −1.37288e9 | − | 2.37790e9i | −0.777353 | − | 1.34641i | ||||
\(206\) | −4.93468e9 | − | 2.84904e9i | −2.74025 | − | 1.58208i | ||||
\(207\) | −1.42437e8 | + | 2.46707e8i | −0.0775783 | + | 0.134370i | ||||
\(208\) | −3.83226e8 | + | 2.21256e8i | −0.204740 | + | 0.118206i | ||||
\(209\) | 5.62188e8i | 0.294643i | ||||||||
\(210\) | −2.23687e9 | + | 1.36219e8i | −1.15017 | + | 0.0700424i | ||||
\(211\) | 1.33850e9 | 0.675288 | 0.337644 | − | 0.941274i | \(-0.390370\pi\) | ||||
0.337644 | + | 0.941274i | \(0.390370\pi\) | |||||||
\(212\) | 1.12998e9 | + | 1.95719e9i | 0.559408 | + | 0.968923i | ||||
\(213\) | 4.33639e8 | + | 2.50362e8i | 0.210674 | + | 0.121632i | ||||
\(214\) | −1.17646e7 | + | 2.03769e7i | −0.00560948 | + | 0.00971590i | ||||
\(215\) | −5.90865e8 | + | 3.41136e8i | −0.276525 | + | 0.159652i | ||||
\(216\) | − | 1.34012e9i | − | 0.615643i | ||||||
\(217\) | −2.19791e9 | + | 1.45393e9i | −0.991223 | + | 0.655699i | ||||
\(218\) | 1.36076e9 | 0.602500 | ||||||||
\(219\) | −6.90338e8 | − | 1.19570e9i | −0.300113 | − | 0.519812i | ||||
\(220\) | 9.44819e9 | + | 5.45491e9i | 4.03327 | + | 2.32861i | ||||
\(221\) | 6.18327e7 | − | 1.07097e8i | 0.0259208 | − | 0.0448962i | ||||
\(222\) | 1.58140e9 | − | 9.13024e8i | 0.651075 | − | 0.375898i | ||||
\(223\) | 8.72131e8i | 0.352665i | 0.984331 | + | 0.176333i | \(0.0564234\pi\) | ||||
−0.984331 | + | 0.176333i | \(0.943577\pi\) | |||||||
\(224\) | 4.75907e9 | + | 7.19430e9i | 1.89030 | + | 2.85757i | ||||
\(225\) | 7.29892e7 | 0.0284792 | ||||||||
\(226\) | −4.00698e9 | − | 6.94029e9i | −1.53597 | − | 2.66038i | ||||
\(227\) | 1.55927e9 | + | 9.00246e8i | 0.587244 | + | 0.339045i | 0.764007 | − | 0.645208i | \(-0.223229\pi\) |
−0.176763 | + | 0.984253i | \(0.556563\pi\) | |||||||
\(228\) | 3.66525e8 | − | 6.34840e8i | 0.135633 | − | 0.234923i | ||||
\(229\) | 1.10855e9 | − | 6.40020e8i | 0.403099 | − | 0.232730i | −0.284721 | − | 0.958610i | \(-0.591901\pi\) |
0.687820 | + | 0.725881i | \(0.258568\pi\) | |||||||
\(230\) | 2.59975e9i | 0.929009i | ||||||||
\(231\) | 1.67307e8 | + | 2.74737e9i | 0.0587578 | + | 0.964870i | ||||
\(232\) | −5.44438e9 | −1.87930 | ||||||||
\(233\) | −6.63524e8 | − | 1.14926e9i | −0.225130 | − | 0.389936i | 0.731229 | − | 0.682132i | \(-0.238947\pi\) |
−0.956358 | + | 0.292196i | \(0.905614\pi\) | |||||||
\(234\) | 1.13344e8 | + | 6.54391e7i | 0.0378037 | + | 0.0218260i | ||||
\(235\) | −7.31527e8 | + | 1.26704e9i | −0.239860 | + | 0.415450i | ||||
\(236\) | 1.01234e10 | − | 5.84474e9i | 3.26346 | − | 1.88416i | ||||
\(237\) | − | 1.20547e9i | − | 0.382086i | ||||||
\(238\) | −4.17107e9 | − | 2.08100e9i | −1.29999 | − | 0.648580i | ||||
\(239\) | 2.12392e9 | 0.650949 | 0.325474 | − | 0.945551i | \(-0.394476\pi\) | ||||
0.325474 | + | 0.945551i | \(0.394476\pi\) | |||||||
\(240\) | −3.45087e9 | − | 5.97709e9i | −1.04012 | − | 1.80154i | ||||
\(241\) | −2.15256e9 | − | 1.24278e9i | −0.638097 | − | 0.368406i | 0.145784 | − | 0.989316i | \(-0.453430\pi\) |
−0.783881 | + | 0.620911i | \(0.786763\pi\) | |||||||
\(242\) | 5.92407e9 | − | 1.02608e10i | 1.72726 | − | 2.99171i | ||||
\(243\) | −1.93710e8 | + | 1.11839e8i | −0.0555556 | + | 0.0320750i | ||||
\(244\) | 1.92615e9i | 0.543415i | ||||||||
\(245\) | −3.45458e9 | − | 1.46854e9i | −0.958806 | − | 0.407588i | ||||
\(246\) | 6.04438e9 | 1.65048 | ||||||||
\(247\) | 2.23883e7 | + | 3.87776e7i | 0.00601496 | + | 0.0104182i | ||||
\(248\) | −1.24548e10 | − | 7.19079e9i | −3.29253 | − | 1.90095i | ||||
\(249\) | −1.94190e9 | + | 3.36348e9i | −0.505162 | + | 0.874966i | ||||
\(250\) | −6.17493e9 | + | 3.56510e9i | −1.58078 | + | 0.912665i | ||||
\(251\) | 6.32961e9i | 1.59471i | 0.603509 | + | 0.797356i | \(0.293769\pi\) | ||||
−0.603509 | + | 0.797356i | \(0.706231\pi\) | |||||||
\(252\) | 1.60225e9 | − | 3.21149e9i | 0.397309 | − | 0.796350i | ||||
\(253\) | 3.19306e9 | 0.779336 | ||||||||
\(254\) | 4.48952e9 | + | 7.77608e9i | 1.07861 | + | 1.86821i | ||||
\(255\) | 1.67037e9 | + | 9.64389e8i | 0.395050 | + | 0.228082i | ||||
\(256\) | −3.70852e9 | + | 6.42334e9i | −0.863457 | + | 1.49555i | ||||
\(257\) | −1.83363e9 | + | 1.05865e9i | −0.420320 | + | 0.242672i | −0.695214 | − | 0.718803i | \(-0.744691\pi\) |
0.274894 | + | 0.961475i | \(0.411357\pi\) | |||||||
\(258\) | − | 1.50192e9i | − | 0.338974i | ||||||
\(259\) | 3.05302e9 | − | 1.85920e8i | 0.678471 | − | 0.0413169i | ||||
\(260\) | 8.68933e8 | 0.190149 | ||||||||
\(261\) | 4.54356e8 | + | 7.86967e8i | 0.0979116 | + | 0.169588i | ||||
\(262\) | 2.65202e8 | + | 1.53114e8i | 0.0562822 | + | 0.0324945i | ||||
\(263\) | −1.69730e9 | + | 2.93982e9i | −0.354762 | + | 0.614465i | −0.987077 | − | 0.160246i | \(-0.948771\pi\) |
0.632315 | + | 0.774711i | \(0.282105\pi\) | |||||||
\(264\) | −1.30086e10 | + | 7.51050e9i | −2.67802 | + | 1.54616i | ||||
\(265\) | − | 2.15305e9i | − | 0.436586i | ||||||
\(266\) | 1.40766e9 | − | 9.31176e8i | 0.281172 | − | 0.185997i | ||||
\(267\) | 2.06630e9 | 0.406583 | ||||||||
\(268\) | 9.12535e9 | + | 1.58056e10i | 1.76893 | + | 3.06387i | ||||
\(269\) | 4.14244e9 | + | 2.39164e9i | 0.791129 | + | 0.456759i | 0.840360 | − | 0.542029i | \(-0.182344\pi\) |
−0.0492306 | + | 0.998787i | \(0.515677\pi\) | |||||||
\(270\) | −1.02064e9 | + | 1.76780e9i | −0.192051 | + | 0.332642i | ||||
\(271\) | 6.27801e9 | − | 3.62461e9i | 1.16398 | − | 0.672023i | 0.211724 | − | 0.977329i | \(-0.432092\pi\) |
0.952254 | + | 0.305306i | \(0.0987589\pi\) | |||||||
\(272\) | − | 1.43558e10i | − | 2.62272i | ||||||
\(273\) | 1.20950e8 | + | 1.82840e8i | 0.0217748 | + | 0.0329171i | ||||
\(274\) | −9.97361e9 | −1.76950 | ||||||||
\(275\) | −4.09057e8 | − | 7.08507e8i | −0.0715242 | − | 0.123884i | ||||
\(276\) | −3.60570e9 | − | 2.08175e9i | −0.621374 | − | 0.358750i | ||||
\(277\) | −1.27124e9 | + | 2.20185e9i | −0.215928 | + | 0.373998i | −0.953559 | − | 0.301206i | \(-0.902611\pi\) |
0.737631 | + | 0.675204i | \(0.235944\pi\) | |||||||
\(278\) | −1.74142e10 | + | 1.00541e10i | −2.91558 | + | 1.68331i | ||||
\(279\) | 2.40040e9i | 0.396157i | ||||||||
\(280\) | −1.24520e9 | − | 2.04476e10i | −0.202585 | − | 3.32667i | ||||
\(281\) | 1.71771e9 | 0.275501 | 0.137751 | − | 0.990467i | \(-0.456013\pi\) | ||||
0.137751 | + | 0.990467i | \(0.456013\pi\) | |||||||
\(282\) | −1.61034e9 | − | 2.78919e9i | −0.254637 | − | 0.441044i | ||||
\(283\) | −4.21678e9 | − | 2.43456e9i | −0.657408 | − | 0.379555i | 0.133881 | − | 0.990997i | \(-0.457256\pi\) |
−0.791289 | + | 0.611443i | \(0.790589\pi\) | |||||||
\(284\) | −3.65911e9 | + | 6.33776e9i | −0.562473 | + | 0.974232i | ||||
\(285\) | −6.04805e8 | + | 3.49184e8i | −0.0916719 | + | 0.0529268i | ||||
\(286\) | − | 1.46697e9i | − | 0.219259i | ||||||
\(287\) | 9.05956e9 | + | 4.51992e9i | 1.33530 | + | 0.666198i | ||||
\(288\) | 7.85710e9 | 1.14207 | ||||||||
\(289\) | −1.48192e9 | − | 2.56677e9i | −0.212439 | − | 0.367956i | ||||
\(290\) | 7.18185e9 | + | 4.14644e9i | 1.01542 | + | 0.586251i | ||||
\(291\) | 8.05771e8 | − | 1.39564e9i | 0.112367 | − | 0.194626i | ||||
\(292\) | 1.74755e10 | − | 1.00895e10i | 2.40380 | − | 1.38783i | ||||
\(293\) | − | 9.70891e9i | − | 1.31735i | −0.752429 | − | 0.658673i | \(-0.771118\pi\) | ||
0.752429 | − | 0.658673i | \(-0.228882\pi\) | |||||||
\(294\) | 6.60201e9 | − | 4.96950e9i | 0.883663 | − | 0.665156i | ||||
\(295\) | −1.11364e10 | −1.47048 | ||||||||
\(296\) | 8.34608e9 | + | 1.44558e10i | 1.08722 | + | 1.88311i | ||||
\(297\) | 2.17124e9 | + | 1.25357e9i | 0.279050 | + | 0.161110i | ||||
\(298\) | 1.36293e10 | − | 2.36067e10i | 1.72826 | − | 2.99344i | ||||
\(299\) | 2.20245e8 | − | 1.27158e8i | 0.0275563 | − | 0.0159096i | ||||
\(300\) | 1.06676e9i | 0.131698i | ||||||||
\(301\) | 1.12312e9 | − | 2.25113e9i | 0.136823 | − | 0.274243i | ||||
\(302\) | 9.66553e9 | 1.16198 | ||||||||
\(303\) | 7.77878e8 | + | 1.34733e9i | 0.0922872 | + | 0.159846i | ||||
\(304\) | 4.50154e9 | + | 2.59896e9i | 0.527068 | + | 0.304303i | ||||
\(305\) | 9.17512e8 | − | 1.58918e9i | 0.106026 | − | 0.183642i | ||||
\(306\) | −3.67706e9 | + | 2.12295e9i | −0.419387 | + | 0.242133i | ||||
\(307\) | 1.10736e10i | 1.24663i | 0.781973 | + | 0.623313i | \(0.214214\pi\) | ||||
−0.781973 | + | 0.623313i | \(0.785786\pi\) | |||||||
\(308\) | −4.01535e10 | + | 2.44524e9i | −4.46191 | + | 0.271718i | ||||
\(309\) | −8.69374e9 | −0.953614 | ||||||||
\(310\) | 1.09530e10 | + | 1.89712e10i | 1.18601 | + | 2.05422i | ||||
\(311\) | 8.59683e8 | + | 4.96338e8i | 0.0918961 | + | 0.0530562i | 0.545244 | − | 0.838278i | \(-0.316437\pi\) |
−0.453348 | + | 0.891334i | \(0.649770\pi\) | |||||||
\(312\) | −5.98188e8 | + | 1.03609e9i | −0.0631276 | + | 0.109340i | ||||
\(313\) | −1.11896e10 | + | 6.46029e9i | −1.16583 | + | 0.673092i | −0.952694 | − | 0.303930i | \(-0.901701\pi\) |
−0.213136 | + | 0.977023i | \(0.568368\pi\) | |||||||
\(314\) | − | 1.44203e10i | − | 1.48339i | ||||||
\(315\) | −2.85171e9 | + | 1.88642e9i | −0.289644 | + | 0.191601i | ||||
\(316\) | 1.76182e10 | 1.76691 | ||||||||
\(317\) | −7.63421e9 | − | 1.32228e10i | −0.756009 | − | 1.30945i | −0.944871 | − | 0.327443i | \(-0.893813\pi\) |
0.188861 | − | 0.982004i | \(-0.439520\pi\) | |||||||
\(318\) | 4.10461e9 | + | 2.36980e9i | 0.401387 | + | 0.231741i | ||||
\(319\) | 5.09274e9 | − | 8.82088e9i | 0.491800 | − | 0.851822i | ||||
\(320\) | 2.93779e10 | − | 1.69613e10i | 2.80170 | − | 1.61756i | ||||
\(321\) | 3.58993e7i | 0.00338116i | ||||||||
\(322\) | −5.28880e9 | − | 7.99509e9i | −0.491964 | − | 0.743704i | ||||
\(323\) | −1.45263e9 | −0.133458 | ||||||||
\(324\) | −1.63455e9 | − | 2.83113e9i | −0.148327 | − | 0.256909i | ||||
\(325\) | −5.64304e7 | − | 3.25801e7i | −0.00505801 | − | 0.00292024i | ||||
\(326\) | −2.01673e10 | + | 3.49308e10i | −1.78557 | + | 3.09270i | ||||
\(327\) | 1.79801e9 | − | 1.03808e9i | 0.157254 | − | 0.0907905i | ||||
\(328\) | 5.52525e10i | 4.77372i | ||||||||
\(329\) | −3.27916e8 | − | 5.38476e9i | −0.0279885 | − | 0.459602i | ||||
\(330\) | 2.28800e10 | 1.92930 | ||||||||
\(331\) | −4.64280e9 | − | 8.04157e9i | −0.386784 | − | 0.669929i | 0.605231 | − | 0.796050i | \(-0.293081\pi\) |
−0.992015 | + | 0.126121i | \(0.959747\pi\) | |||||||
\(332\) | −4.91582e10 | − | 2.83815e10i | −4.04616 | − | 2.33605i | ||||
\(333\) | 1.39303e9 | − | 2.41280e9i | 0.113288 | − | 0.196220i | ||||
\(334\) | −2.34850e10 | + | 1.35591e10i | −1.88714 | + | 1.08954i | ||||
\(335\) | − | 1.73872e10i | − | 1.38055i | ||||||
\(336\) | 2.27721e10 | + | 1.13613e10i | 1.78667 | + | 0.891393i | ||||
\(337\) | −5.30639e9 | −0.411415 | −0.205707 | − | 0.978614i | \(-0.565949\pi\) | ||||
−0.205707 | + | 0.978614i | \(0.565949\pi\) | |||||||
\(338\) | 1.24431e10 | + | 2.15521e10i | 0.953370 | + | 1.65129i | ||||
\(339\) | −1.05890e10 | − | 6.11358e9i | −0.801784 | − | 0.462910i | ||||
\(340\) | −1.40948e10 | + | 2.44129e10i | −1.05474 | + | 1.82686i | ||||
\(341\) | 2.33008e10 | − | 1.34527e10i | 1.72327 | − | 0.994929i | ||||
\(342\) | − | 1.53735e9i | − | 0.112375i | ||||||
\(343\) | 1.36115e10 | − | 2.51157e9i | 0.983399 | − | 0.181455i | ||||
\(344\) | 1.37292e10 | 0.980420 | ||||||||
\(345\) | 1.98326e9 | + | 3.43511e9i | 0.139992 | + | 0.242473i | ||||
\(346\) | −5.57044e9 | − | 3.21610e9i | −0.388674 | − | 0.224401i | ||||
\(347\) | −1.52387e9 | + | 2.63941e9i | −0.105106 | + | 0.182049i | −0.913782 | − | 0.406206i | \(-0.866852\pi\) |
0.808675 | + | 0.588255i | \(0.200185\pi\) | |||||||
\(348\) | −1.15017e10 | + | 6.64054e9i | −0.784236 | + | 0.452779i | ||||
\(349\) | 5.11150e9i | 0.344545i | 0.985049 | + | 0.172273i | \(0.0551110\pi\) | ||||
−0.985049 | + | 0.172273i | \(0.944889\pi\) | |||||||
\(350\) | −1.09649e9 | + | 2.19777e9i | −0.0730690 | + | 0.146457i | ||||
\(351\) | 1.99685e8 | 0.0131558 | ||||||||
\(352\) | −4.40339e10 | − | 7.62690e10i | −2.86825 | − | 4.96795i | ||||
\(353\) | 1.20174e10 | + | 6.93828e9i | 0.773951 | + | 0.446841i | 0.834282 | − | 0.551338i | \(-0.185882\pi\) |
−0.0603313 | + | 0.998178i | \(0.519216\pi\) | |||||||
\(354\) | 1.22576e10 | − | 2.12307e10i | 0.780533 | − | 1.35192i | ||||
\(355\) | 6.03791e9 | − | 3.48599e9i | 0.380166 | − | 0.219489i | ||||
\(356\) | 3.01996e10i | 1.88019i | ||||||||
\(357\) | −7.09885e9 | + | 4.32300e8i | −0.437034 | + | 0.0266141i | ||||
\(358\) | 2.27598e10 | 1.38559 | ||||||||
\(359\) | −2.10394e9 | − | 3.64414e9i | −0.126665 | − | 0.219390i | 0.795718 | − | 0.605668i | \(-0.207094\pi\) |
−0.922383 | + | 0.386278i | \(0.873761\pi\) | |||||||
\(360\) | −1.61597e10 | − | 9.32979e9i | −0.962106 | − | 0.555472i | ||||
\(361\) | −8.22880e9 | + | 1.42527e10i | −0.484515 | + | 0.839205i | ||||
\(362\) | −1.43184e10 | + | 8.26671e9i | −0.833794 | + | 0.481391i | ||||
\(363\) | − | 1.80771e10i | − | 1.04112i | ||||||
\(364\) | −2.67226e9 | + | 1.76771e9i | −0.152221 | + | 0.100695i | ||||
\(365\) | −1.92243e10 | −1.08312 | ||||||||
\(366\) | 2.01976e9 | + | 3.49833e9i | 0.112558 | + | 0.194956i | ||||
\(367\) | 8.93366e9 | + | 5.15785e9i | 0.492454 | + | 0.284318i | 0.725592 | − | 0.688125i | \(-0.241566\pi\) |
−0.233138 | + | 0.972444i | \(0.574899\pi\) | |||||||
\(368\) | 1.47613e10 | − | 2.55673e10i | 0.804884 | − | 1.39410i | ||||
\(369\) | 7.98658e9 | − | 4.61105e9i | 0.430780 | − | 0.248711i | ||||
\(370\) | − | 2.54255e10i | − | 1.35664i | ||||||
\(371\) | 4.38005e9 | + | 6.62133e9i | 0.231197 | + | 0.349502i | ||||
\(372\) | −3.50826e10 | −1.83198 | ||||||||
\(373\) | 1.38521e10 | + | 2.39926e10i | 0.715617 | + | 1.23949i | 0.962721 | + | 0.270496i | \(0.0871878\pi\) |
−0.247104 | + | 0.968989i | \(0.579479\pi\) | |||||||
\(374\) | 4.12150e10 | + | 2.37955e10i | 2.10654 | + | 1.21621i | ||||
\(375\) | −5.43939e9 | + | 9.42130e9i | −0.275059 | + | 0.476415i | ||||
\(376\) | 2.54964e10 | − | 1.47204e10i | 1.27564 | − | 0.736490i | ||||
\(377\) | − | 8.11241e8i | − | 0.0401591i | ||||||
\(378\) | −4.57514e8 | − | 7.51290e9i | −0.0224098 | − | 0.367994i | ||||
\(379\) | −3.05523e10 | −1.48077 | −0.740384 | − | 0.672184i | \(-0.765356\pi\) | ||||
−0.740384 | + | 0.672184i | \(0.765356\pi\) | |||||||
\(380\) | −5.10343e9 | − | 8.83940e9i | −0.244753 | − | 0.423924i | ||||
\(381\) | 1.18642e10 | + | 6.84981e9i | 0.563040 | + | 0.325071i | ||||
\(382\) | 7.87439e9 | − | 1.36388e10i | 0.369797 | − | 0.640508i | ||||
\(383\) | 2.37675e10 | − | 1.37221e10i | 1.10456 | − | 0.637716i | 0.167142 | − | 0.985933i | \(-0.446546\pi\) |
0.937414 | + | 0.348217i | \(0.113213\pi\) | |||||||
\(384\) | 3.16646e10i | 1.45630i | ||||||||
\(385\) | 3.42935e10 | + | 1.71095e10i | 1.56088 | + | 0.778742i | ||||
\(386\) | −1.34995e10 | −0.608090 | ||||||||
\(387\) | −1.14576e9 | − | 1.98452e9i | −0.0510799 | − | 0.0884730i | ||||
\(388\) | 2.03976e10 | + | 1.17766e10i | 0.900021 | + | 0.519627i | ||||
\(389\) | −2.10395e10 | + | 3.64415e10i | −0.918834 | + | 1.59147i | −0.117645 | + | 0.993056i | \(0.537534\pi\) |
−0.801189 | + | 0.598411i | \(0.795799\pi\) | |||||||
\(390\) | 1.57818e9 | − | 9.11161e8i | 0.0682177 | − | 0.0393855i | ||||
\(391\) | 8.25046e9i | 0.352997i | ||||||||
\(392\) | 4.54269e10 | + | 6.03499e10i | 1.92384 | + | 2.55583i | ||||
\(393\) | 4.67223e8 | 0.0195864 | ||||||||
\(394\) | −4.46939e9 | − | 7.74121e9i | −0.185466 | − | 0.321236i | ||||
\(395\) | −1.45360e10 | − | 8.39234e9i | −0.597111 | − | 0.344742i | ||||
\(396\) | −1.83212e10 | + | 3.17333e10i | −0.745029 | + | 1.29043i | ||||
\(397\) | 1.37015e9 | − | 7.91056e8i | 0.0551576 | − | 0.0318453i | −0.472168 | − | 0.881509i | \(-0.656528\pi\) |
0.527325 | + | 0.849664i | \(0.323195\pi\) | |||||||
\(398\) | − | 5.87340e10i | − | 2.34076i | ||||||
\(399\) | 1.14961e9 | − | 2.30424e9i | 0.0453587 | − | 0.0909153i | ||||
\(400\) | −7.56418e9 | −0.295476 | ||||||||
\(401\) | −4.99836e9 | − | 8.65742e9i | −0.193308 | − | 0.334820i | 0.753036 | − | 0.657979i | \(-0.228588\pi\) |
−0.946345 | + | 0.323159i | \(0.895255\pi\) | |||||||
\(402\) | 3.31473e10 | + | 1.91376e10i | 1.26924 | + | 0.732797i | ||||
\(403\) | 1.07147e9 | − | 1.85583e9i | 0.0406217 | − | 0.0703588i | ||||
\(404\) | −1.96915e10 | + | 1.13689e10i | −0.739187 | + | 0.426770i | ||||
\(405\) | 3.11444e9i | 0.115760i | ||||||||
\(406\) | −3.05219e10 | + | 1.85870e9i | −1.12333 | + | 0.0684076i | ||||
\(407\) | −3.12281e10 | −1.13807 | ||||||||
\(408\) | −1.94062e10 | − | 3.36125e10i | −0.700326 | − | 1.21300i | ||||
\(409\) | −8.95606e9 | − | 5.17078e9i | −0.320054 | − | 0.184783i | 0.331363 | − | 0.943504i | \(-0.392492\pi\) |
−0.651417 | + | 0.758720i | \(0.725825\pi\) | |||||||
\(410\) | 4.20804e10 | − | 7.28853e10i | 1.48917 | − | 2.57932i | ||||
\(411\) | −1.31784e10 | + | 7.60854e9i | −0.461843 | + | 0.266645i | ||||
\(412\) | − | 1.27061e11i | − | 4.40986i | ||||||
\(413\) | 3.42483e10 | − | 2.26554e10i | 1.17717 | − | 0.778703i | ||||
\(414\) | −8.73167e9 | −0.297232 | ||||||||
\(415\) | 2.70387e10 | + | 4.68324e10i | 0.911577 | + | 1.57890i | ||||
\(416\) | −6.07459e9 | − | 3.50716e9i | −0.202835 | − | 0.117107i | ||||
\(417\) | −1.53399e10 | + | 2.65694e10i | −0.507315 | + | 0.878695i | ||||
\(418\) | −1.49231e10 | + | 8.61584e9i | −0.488825 | + | 0.282223i | ||||
\(419\) | 8.96187e9i | 0.290765i | 0.989376 | + | 0.145383i | \(0.0464413\pi\) | ||||
−0.989376 | + | 0.145383i | \(0.953559\pi\) | |||||||
\(420\) | −2.75706e10 | − | 4.16786e10i | −0.886032 | − | 1.33942i | ||||
\(421\) | 3.47886e10 | 1.10741 | 0.553705 | − | 0.832713i | \(-0.313214\pi\) | ||||
0.553705 | + | 0.832713i | \(0.313214\pi\) | |||||||
\(422\) | 2.05133e10 | + | 3.55300e10i | 0.646822 | + | 1.12033i | ||||
\(423\) | −4.25556e9 | − | 2.45695e9i | −0.132922 | − | 0.0767423i | ||||
\(424\) | −2.16626e10 | + | 3.75208e10i | −0.670267 | + | 1.16094i | ||||
\(425\) | 1.83069e9 | − | 1.05695e9i | 0.0561126 | − | 0.0323966i | ||||
\(426\) | 1.53477e10i | 0.466021i | ||||||||
\(427\) | 4.11287e8 | + | 6.75379e9i | 0.0123718 | + | 0.203159i | ||||
\(428\) | −5.24678e8 | −0.0156357 | ||||||||
\(429\) | −1.11910e9 | − | 1.93835e9i | −0.0330401 | − | 0.0572272i | ||||
\(430\) | −1.81107e10 | − | 1.04562e10i | −0.529737 | − | 0.305844i | ||||
\(431\) | 1.19627e9 | − | 2.07199e9i | 0.0346672 | − | 0.0600453i | −0.848171 | − | 0.529722i | \(-0.822296\pi\) |
0.882838 | + | 0.469677i | \(0.155630\pi\) | |||||||
\(432\) | 2.00750e10 | − | 1.15903e10i | 0.576396 | − | 0.332782i | ||||
\(433\) | − | 2.52121e10i | − | 0.717228i | −0.933486 | − | 0.358614i | \(-0.883249\pi\) | ||
0.933486 | − | 0.358614i | \(-0.116751\pi\) | |||||||
\(434\) | −7.22782e10 | − | 3.60605e10i | −2.03727 | − | 1.01642i | ||||
\(435\) | 1.26527e10 | 0.353368 | ||||||||
\(436\) | 1.51719e10 | + | 2.62784e10i | 0.419849 | + | 0.727199i | ||||
\(437\) | −2.58709e9 | − | 1.49366e9i | −0.0709391 | − | 0.0409567i | ||||
\(438\) | 2.11596e10 | − | 3.66495e10i | 0.574925 | − | 0.995799i | ||||
\(439\) | −3.05195e10 | + | 1.76205e10i | −0.821712 | + | 0.474416i | −0.851007 | − | 0.525155i | \(-0.824007\pi\) |
0.0292943 | + | 0.999571i | \(0.490674\pi\) | |||||||
\(440\) | 2.09150e11i | 5.58016i | ||||||||
\(441\) | 4.93233e9 | − | 1.16028e10i | 0.130406 | − | 0.306766i | ||||
\(442\) | 3.79048e9 | 0.0993127 | ||||||||
\(443\) | 1.43650e10 | + | 2.48809e10i | 0.372984 | + | 0.646027i | 0.990023 | − | 0.140905i | \(-0.0450013\pi\) |
−0.617039 | + | 0.786932i | \(0.711668\pi\) | |||||||
\(444\) | 3.52637e10 | + | 2.03595e10i | 0.907395 | + | 0.523885i | ||||
\(445\) | 1.43854e10 | − | 2.49162e10i | 0.366844 | − | 0.635393i | ||||
\(446\) | −2.31504e10 | + | 1.33659e10i | −0.585085 | + | 0.337799i | ||||
\(447\) | − | 4.15894e10i | − | 1.04172i | ||||||
\(448\) | −5.58416e10 | + | 1.11927e11i | −1.38626 | + | 2.77857i | ||||
\(449\) | −8.45964e9 | −0.208145 | −0.104073 | − | 0.994570i | \(-0.533187\pi\) | ||||
−0.104073 | + | 0.994570i | \(0.533187\pi\) | |||||||
\(450\) | 1.11860e9 | + | 1.93747e9i | 0.0272787 | + | 0.0472482i | ||||
\(451\) | −8.95191e10 | − | 5.16839e10i | −2.16376 | − | 1.24925i | ||||
\(452\) | 8.93517e10 | − | 1.54762e11i | 2.14067 | − | 3.70774i | ||||
\(453\) | 1.27713e10 | − | 7.37351e9i | 0.303279 | − | 0.175098i | ||||
\(454\) | 5.51870e10i | 1.29901i | ||||||||
\(455\) | 3.04680e9 | − | 1.85541e8i | 0.0710882 | − | 0.00432907i | ||||
\(456\) | 1.40531e10 | 0.325023 | ||||||||
\(457\) | −3.08251e10 | − | 5.33906e10i | −0.706707 | − | 1.22405i | −0.966072 | − | 0.258274i | \(-0.916846\pi\) |
0.259364 | − | 0.965780i | \(-0.416487\pi\) | |||||||
\(458\) | 3.39782e10 | + | 1.96173e10i | 0.772215 | + | 0.445838i | ||||
\(459\) | −3.23906e9 | + | 5.61021e9i | −0.0729740 | + | 0.126395i | ||||
\(460\) | −5.02051e10 | + | 2.89859e10i | −1.12129 | + | 0.647374i | ||||
\(461\) | 3.84216e10i | 0.850690i | 0.905031 | + | 0.425345i | \(0.139847\pi\) | ||||
−0.905031 | + | 0.425345i | \(0.860153\pi\) | |||||||
\(462\) | −7.03637e10 | + | 4.65460e10i | −1.54448 | + | 1.02168i | ||||
\(463\) | −7.81565e10 | −1.70075 | −0.850376 | − | 0.526175i | \(-0.823626\pi\) | ||||
−0.850376 | + | 0.526175i | \(0.823626\pi\) | |||||||
\(464\) | −4.70868e10 | − | 8.15568e10i | −1.01584 | − | 1.75949i | ||||
\(465\) | 2.89450e10 | + | 1.67114e10i | 0.619101 | + | 0.357438i | ||||
\(466\) | 2.03377e10 | − | 3.52260e10i | 0.431279 | − | 0.746998i | ||||
\(467\) | −3.69764e10 | + | 2.13483e10i | −0.777422 | + | 0.448845i | −0.835516 | − | 0.549466i | \(-0.814831\pi\) |
0.0580935 | + | 0.998311i | \(0.481498\pi\) | |||||||
\(468\) | 2.91845e9i | 0.0608372i | ||||||||
\(469\) | 3.53717e10 | + | 5.34715e10i | 0.731079 | + | 1.10518i | ||||
\(470\) | −4.48442e10 | −0.918998 | ||||||||
\(471\) | −1.10008e10 | − | 1.90539e10i | −0.223532 | − | 0.387169i | ||||
\(472\) | 1.94073e11 | + | 1.12048e11i | 3.91019 | + | 2.25755i | ||||
\(473\) | −1.28425e10 | + | 2.22438e10i | −0.256569 | + | 0.444391i | ||||
\(474\) | 3.19986e10 | − | 1.84744e10i | 0.633896 | − | 0.365980i | ||||
\(475\) | 7.65399e8i | 0.0150353i | ||||||||
\(476\) | −6.31818e9 | − | 1.03752e11i | −0.123073 | − | 2.02101i | ||||
\(477\) | 7.23135e9 | 0.139684 | ||||||||
\(478\) | 3.25502e10 | + | 5.63787e10i | 0.623509 | + | 1.07995i | ||||
\(479\) | 5.38490e9 | + | 3.10897e9i | 0.102290 | + | 0.0590574i | 0.550273 | − | 0.834985i | \(-0.314524\pi\) |
−0.447982 | + | 0.894043i | \(0.647857\pi\) | |||||||
\(480\) | 5.47004e10 | − | 9.47439e10i | 1.03045 | − | 1.78479i | ||||
\(481\) | −2.15400e9 | + | 1.24361e9i | −0.0402406 | + | 0.0232329i | ||||
\(482\) | − | 7.61851e10i | − | 1.41150i | ||||||
\(483\) | −1.30874e10 | − | 6.52946e9i | −0.240472 | − | 0.119974i | ||||
\(484\) | 2.64202e11 | 4.81454 | ||||||||
\(485\) | −1.12194e10 | − | 1.94326e10i | −0.202770 | − | 0.351207i | ||||
\(486\) | −5.93743e9 | − | 3.42798e9i | −0.106427 | − | 0.0614459i | ||||
\(487\) | 3.41554e10 | − | 5.91590e10i | 0.607217 | − | 1.05173i | −0.384480 | − | 0.923134i | \(-0.625619\pi\) |
0.991697 | − | 0.128598i | \(-0.0410476\pi\) | |||||||
\(488\) | −3.19787e10 | + | 1.84629e10i | −0.563873 | + | 0.325552i | ||||
\(489\) | 6.15398e10i | 1.07627i | ||||||||
\(490\) | −1.39615e10 | − | 1.14207e11i | −0.242185 | − | 1.98110i | ||||
\(491\) | 7.04766e10 | 1.21260 | 0.606302 | − | 0.795234i | \(-0.292652\pi\) | ||||
0.606302 | + | 0.795234i | \(0.292652\pi\) | |||||||
\(492\) | 6.73918e10 | + | 1.16726e11i | 1.15013 | + | 1.99208i | ||||
\(493\) | 2.27921e10 | + | 1.31590e10i | 0.385830 | + | 0.222759i | ||||
\(494\) | −6.86225e8 | + | 1.18858e9i | −0.0115228 | + | 0.0199581i | ||||
\(495\) | 3.02319e10 | − | 1.74544e10i | 0.503553 | − | 0.290726i | ||||
\(496\) | − | 2.48764e11i | − | 4.11018i | ||||||
\(497\) | −1.14769e10 | + | 2.30038e10i | −0.188104 | + | 0.377028i | ||||
\(498\) | −1.19043e11 | −1.93547 | ||||||||
\(499\) | −5.59329e10 | − | 9.68787e10i | −0.902123 | − | 1.56252i | −0.824734 | − | 0.565521i | \(-0.808675\pi\) |
−0.0773887 | − | 0.997001i | \(-0.524658\pi\) | |||||||
\(500\) | −1.37695e11 | − | 7.94982e10i | −2.20312 | − | 1.27197i | ||||
\(501\) | −2.06875e10 | + | 3.58318e10i | −0.328365 | + | 0.568745i | ||||
\(502\) | −1.68017e11 | + | 9.70047e10i | −2.64569 | + | 1.52749i | ||||
\(503\) | − | 8.32236e10i | − | 1.30009i | −0.759894 | − | 0.650047i | \(-0.774749\pi\) | ||
0.759894 | − | 0.650047i | \(-0.225251\pi\) | |||||||
\(504\) | 6.86765e10 | − | 4.18220e9i | 1.06435 | − | 0.0648161i | ||||
\(505\) | 2.16621e10 | 0.333069 | ||||||||
\(506\) | 4.89353e10 | + | 8.47585e10i | 0.746484 | + | 1.29295i | ||||
\(507\) | 3.28827e10 | + | 1.89848e10i | 0.497663 | + | 0.287326i | ||||
\(508\) | −1.00112e11 | + | 1.73399e11i | −1.50325 | + | 2.60370i | ||||
\(509\) | 2.87844e9 | − | 1.66187e9i | 0.0428832 | − | 0.0247586i | −0.478405 | − | 0.878139i | \(-0.658785\pi\) |
0.521288 | + | 0.853381i | \(0.325452\pi\) | |||||||
\(510\) | 5.91192e10i | 0.873871i | ||||||||
\(511\) | 5.91210e10 | − | 3.91089e10i | 0.867079 | − | 0.573577i | ||||
\(512\) | −5.40038e10 | −0.785858 | ||||||||
\(513\) | −1.17279e9 | − | 2.03134e9i | −0.0169337 | − | 0.0293300i | ||||
\(514\) | −5.62029e10 | − | 3.24488e10i | −0.805204 | − | 0.464885i | ||||
\(515\) | −6.05250e10 | + | 1.04832e11i | −0.860411 | + | 1.49027i | ||||
\(516\) | 2.90043e10 | − | 1.67456e10i | 0.409132 | − | 0.236212i | ||||
\(517\) | 5.50784e10i | 0.770938i | ||||||||
\(518\) | 5.17244e10 | + | 7.81920e10i | 0.718417 | + | 1.08603i | ||||
\(519\) | −9.81381e9 | −0.135260 | ||||||||
\(520\) | 8.32905e9 | + | 1.44263e10i | 0.113915 | + | 0.197307i | ||||
\(521\) | 6.56163e10 | + | 3.78836e10i | 0.890555 | + | 0.514162i | 0.874124 | − | 0.485703i | \(-0.161436\pi\) |
0.0164311 | + | 0.999865i | \(0.494770\pi\) | |||||||
\(522\) | −1.39265e10 | + | 2.41214e10i | −0.187569 | + | 0.324878i | ||||
\(523\) | 1.17918e11 | − | 6.80799e10i | 1.57606 | − | 0.909939i | 0.580660 | − | 0.814146i | \(-0.302795\pi\) |
0.995401 | − | 0.0957932i | \(-0.0305388\pi\) | |||||||
\(524\) | 6.82859e9i | 0.0905746i | ||||||||
\(525\) | 2.27782e8 | + | 3.74044e9i | 0.00299835 | + | 0.0492363i | ||||
\(526\) | −1.04048e11 | −1.35923 | ||||||||
\(527\) | 3.47601e10 | + | 6.02063e10i | 0.450649 | + | 0.780547i | ||||
\(528\) | −2.25015e11 | − | 1.29912e11i | −2.89518 | − | 1.67153i | ||||
\(529\) | 3.06720e10 | − | 5.31254e10i | 0.391669 | − | 0.678391i | ||||
\(530\) | 5.71518e10 | − | 3.29966e10i | 0.724313 | − | 0.418182i | ||||
\(531\) | − | 3.74035e10i | − | 0.470473i | ||||||
\(532\) | 3.36772e10 | + | 1.68019e10i | 0.420426 | + | 0.209755i | ||||
\(533\) | −8.23291e9 | −0.102010 | ||||||||
\(534\) | 3.16672e10 | + | 5.48492e10i | 0.389444 | + | 0.674536i | ||||
\(535\) | 4.32887e8 | + | 2.49928e8i | 0.00528396 | + | 0.00305070i | ||||
\(536\) | −1.74940e11 | + | 3.03005e11i | −2.11948 | + | 3.67105i | ||||
\(537\) | 3.00730e10 | − | 1.73627e10i | 0.361643 | − | 0.208795i | ||||
\(538\) | 1.46613e11i | 1.75002i | ||||||||
\(539\) | −1.40271e11 | + | 1.71478e10i | −1.66193 | + | 0.203167i | ||||
\(540\) | −4.55184e10 | −0.535318 | ||||||||
\(541\) | 2.43620e10 | + | 4.21963e10i | 0.284397 | + | 0.492590i | 0.972463 | − | 0.233059i | \(-0.0748734\pi\) |
−0.688066 | + | 0.725648i | \(0.741540\pi\) | |||||||
\(542\) | 1.92428e11 | + | 1.11098e11i | 2.22982 | + | 1.28739i | ||||
\(543\) | −1.26128e10 | + | 2.18460e10i | −0.145081 | + | 0.251288i | ||||
\(544\) | 1.97070e11 | − | 1.13778e11i | 2.25022 | − | 1.29916i | ||||
\(545\) | − | 2.89081e10i | − | 0.327668i | ||||||
\(546\) | −2.99980e9 | + | 6.01269e9i | −0.0337537 | + | 0.0676547i | ||||
\(547\) | 2.02062e10 | 0.225702 | 0.112851 | − | 0.993612i | \(-0.464002\pi\) | ||||
0.112851 | + | 0.993612i | \(0.464002\pi\) | |||||||
\(548\) | −1.11201e11 | − | 1.92606e11i | −1.23307 | − | 2.13573i | ||||
\(549\) | 5.33751e9 | + | 3.08161e9i | 0.0587556 | + | 0.0339226i | ||||
\(550\) | 1.25380e10 | − | 2.17165e10i | 0.137018 | − | 0.237323i | ||||
\(551\) | −8.25251e9 | + | 4.76459e9i | −0.0895323 | + | 0.0516915i | ||||
\(552\) | − | 7.98175e10i | − | 0.859690i | ||||||
\(553\) | 6.17759e10 | − | 3.76197e9i | 0.660569 | − | 0.0402268i | ||||
\(554\) | −7.79297e10 | −0.827302 | ||||||||
\(555\) | −1.93963e10 | − | 3.35954e10i | −0.204431 | − | 0.354085i | ||||
\(556\) | −3.88320e11 | − | 2.24197e11i | −4.06341 | − | 2.34601i | ||||
\(557\) | 4.78354e10 | − | 8.28533e10i | 0.496968 | − | 0.860774i | −0.503026 | − | 0.864271i | \(-0.667780\pi\) |
0.999994 | + | 0.00349724i | \(0.00111321\pi\) | |||||||
\(558\) | −6.37178e10 | + | 3.67875e10i | −0.657240 | + | 0.379458i | ||||
\(559\) | 2.04573e9i | 0.0209508i | ||||||||
\(560\) | 2.95535e11 | − | 1.95498e11i | 3.00509 | − | 1.98788i | ||||
\(561\) | 7.26112e10 | 0.733082 | ||||||||
\(562\) | 2.63248e10 | + | 4.55958e10i | 0.263888 | + | 0.457067i | ||||
\(563\) | 9.59103e10 | + | 5.53738e10i | 0.954622 | + | 0.551151i | 0.894514 | − | 0.447040i | \(-0.147522\pi\) |
0.0601086 | + | 0.998192i | \(0.480855\pi\) | |||||||
\(564\) | 3.59090e10 | − | 6.21962e10i | 0.354885 | − | 0.614678i | ||||
\(565\) | −1.47440e11 | + | 8.51244e10i | −1.44684 | + | 0.835334i | ||||
\(566\) | − | 1.49244e11i | − | 1.45422i | ||||||
\(567\) | −6.33586e9 | − | 9.57794e9i | −0.0613018 | − | 0.0926702i | ||||
\(568\) | −1.40296e11 | −1.34788 | ||||||||
\(569\) | −5.65007e10 | − | 9.78621e10i | −0.539020 | − | 0.933610i | −0.998957 | − | 0.0456583i | \(-0.985461\pi\) |
0.459937 | − | 0.887951i | \(-0.347872\pi\) | |||||||
\(570\) | −1.85379e10 | − | 1.07029e10i | −0.175615 | − | 0.101391i | ||||
\(571\) | 4.26220e10 | − | 7.38235e10i | 0.400950 | − | 0.694465i | −0.592891 | − | 0.805283i | \(-0.702014\pi\) |
0.993841 | + | 0.110818i | \(0.0353469\pi\) | |||||||
\(572\) | 2.83295e10 | − | 1.63560e10i | 0.264639 | − | 0.152790i | ||||
\(573\) | − | 2.40284e10i | − | 0.222898i | ||||||
\(574\) | 1.88631e10 | + | 3.09753e11i | 0.173766 | + | 2.85343i | ||||
\(575\) | 4.34723e9 | 0.0397687 | ||||||||
\(576\) | 5.69674e10 | + | 9.86705e10i | 0.517531 | + | 0.896391i | ||||
\(577\) | −1.17478e11 | − | 6.78259e10i | −1.05987 | − | 0.611917i | −0.134474 | − | 0.990917i | \(-0.542935\pi\) |
−0.925397 | + | 0.379000i | \(0.876268\pi\) | |||||||
\(578\) | 4.54226e10 | − | 7.86743e10i | 0.406968 | − | 0.704890i | ||||
\(579\) | −1.78372e10 | + | 1.02983e10i | −0.158713 | + | 0.0916329i | ||||
\(580\) | 1.84923e11i | 1.63410i | ||||||||
\(581\) | −1.78427e11 | − | 8.90191e10i | −1.56587 | − | 0.781230i | ||||
\(582\) | 4.93955e10 | 0.430522 | ||||||||
\(583\) | −4.05270e10 | − | 7.01948e10i | −0.350809 | − | 0.607618i | ||||
\(584\) | 3.35019e11 | + | 1.93423e11i | 2.88017 | + | 1.66286i | ||||
\(585\) | 1.39019e9 | − | 2.40788e9i | 0.0118700 | − | 0.0205594i | ||||
\(586\) | 2.57719e11 | − | 1.48794e11i | 2.18553 | − | 1.26181i | ||||
\(587\) | 2.26995e11i | 1.91190i | 0.293533 | + | 0.955949i | \(0.405169\pi\) | ||||
−0.293533 | + | 0.955949i | \(0.594831\pi\) | |||||||
\(588\) | 1.69578e11 | + | 7.20874e10i | 1.41860 | + | 0.603045i | ||||
\(589\) | −2.51718e10 | −0.209147 | ||||||||
\(590\) | −1.70672e11 | − | 2.95613e11i | −1.40849 | − | 2.43958i | ||||
\(591\) | −1.18110e10 | − | 6.81910e9i | −0.0968139 | − | 0.0558955i | ||||
\(592\) | −1.44366e11 | + | 2.50049e11i | −1.17538 | + | 2.03581i | ||||
\(593\) | 1.63632e11 | − | 9.44731e10i | 1.32327 | − | 0.763993i | 0.339025 | − | 0.940777i | \(-0.389903\pi\) |
0.984250 | + | 0.176784i | \(0.0565696\pi\) | |||||||
\(594\) | 7.68463e10i | 0.617273i | ||||||||
\(595\) | −4.42087e10 | + | 8.86103e10i | −0.352728 | + | 0.706995i | ||||
\(596\) | 6.07841e11 | 4.81732 | ||||||||
\(597\) | −4.48062e10 | − | 7.76066e10i | −0.352729 | − | 0.610944i | ||||
\(598\) | 6.75075e9 | + | 3.89754e9i | 0.0527894 | + | 0.0304780i | ||||
\(599\) | −7.05625e10 | + | 1.22218e11i | −0.548109 | + | 0.949352i | 0.450295 | + | 0.892880i | \(0.351319\pi\) |
−0.998404 | + | 0.0564726i | \(0.982015\pi\) | |||||||
\(600\) | −1.77107e10 | + | 1.02253e10i | −0.136657 | + | 0.0788987i | ||||
\(601\) | 1.91655e11i | 1.46900i | 0.678609 | + | 0.734499i | \(0.262583\pi\) | ||||
−0.678609 | + | 0.734499i | \(0.737417\pi\) | |||||||
\(602\) | 7.69679e10 | − | 4.68712e9i | 0.586035 | − | 0.0356878i | ||||
\(603\) | 5.83978e10 | 0.441700 | ||||||||
\(604\) | 1.07766e11 | + | 1.86656e11i | 0.809718 | + | 1.40247i | ||||
\(605\) | −2.17980e11 | − | 1.25851e11i | −1.62703 | − | 0.939367i | ||||
\(606\) | −2.38428e10 | + | 4.12970e10i | −0.176794 | + | 0.306216i | ||||
\(607\) | 1.14122e11 | − | 6.58882e10i | 0.840647 | − | 0.485348i | −0.0168370 | − | 0.999858i | \(-0.505360\pi\) |
0.857484 | + | 0.514510i | \(0.172026\pi\) | |||||||
\(608\) | 8.23933e10i | 0.602945i | ||||||||
\(609\) | −3.89114e10 | + | 2.57401e10i | −0.282883 | + | 0.187129i | ||||
\(610\) | 5.62455e10 | 0.406227 | ||||||||
\(611\) | 2.19341e9 | + | 3.79910e9i | 0.0157382 | + | 0.0272594i | ||||
\(612\) | −8.19948e10 | − | 4.73397e10i | −0.584495 | − | 0.337458i | ||||
\(613\) | 5.01797e10 | − | 8.69138e10i | 0.355374 | − | 0.615527i | −0.631808 | − | 0.775125i | \(-0.717687\pi\) |
0.987182 | + | 0.159599i | \(0.0510200\pi\) | |||||||
\(614\) | −2.93945e11 | + | 1.69709e11i | −2.06820 | + | 1.19408i | ||||
\(615\) | − | 1.28407e11i | − | 0.897610i | ||||||
\(616\) | −4.25484e11 | − | 6.43205e11i | −2.95502 | − | 4.46711i | ||||
\(617\) | −6.91461e10 | −0.477120 | −0.238560 | − | 0.971128i | \(-0.576675\pi\) | ||||
−0.238560 | + | 0.971128i | \(0.576675\pi\) | |||||||
\(618\) | −1.33236e11 | − | 2.30772e11i | −0.913416 | − | 1.58208i | ||||
\(619\) | −1.07988e11 | − | 6.23470e10i | −0.735553 | − | 0.424671i | 0.0848975 | − | 0.996390i | \(-0.472944\pi\) |
−0.820450 | + | 0.571718i | \(0.806277\pi\) | |||||||
\(620\) | −2.44242e11 | + | 4.23039e11i | −1.65292 | + | 2.86295i | ||||
\(621\) | −1.15374e10 | + | 6.66110e9i | −0.0775783 | + | 0.0447899i | ||||
\(622\) | 3.04266e10i | 0.203279i | ||||||||
\(623\) | 6.44844e9 | + | 1.05891e11i | 0.0428058 | + | 0.702919i | ||||
\(624\) | −2.06942e10 | −0.136493 | ||||||||
\(625\) | 8.22554e10 | + | 1.42471e11i | 0.539069 | + | 0.933695i | ||||
\(626\) | −3.42972e11 | − | 1.98015e11i | −2.23337 | − | 1.28944i | ||||
\(627\) | −1.31455e10 | + | 2.27686e10i | −0.0850562 | + | 0.147322i | ||||
\(628\) | 2.78478e11 | − | 1.60779e11i | 1.79041 | − | 1.03369i | ||||
\(629\) | − | 8.06895e10i | − | 0.515483i | ||||||
\(630\) | −9.37785e10 | − | 4.67872e10i | −0.595307 | − | 0.297006i | ||||
\(631\) | 1.45583e11 | 0.918318 | 0.459159 | − | 0.888354i | \(-0.348151\pi\) | ||||
0.459159 | + | 0.888354i | \(0.348151\pi\) | |||||||
\(632\) | 1.68877e11 | + | 2.92504e11i | 1.05853 | + | 1.83343i | ||||
\(633\) | 5.42093e10 | + | 3.12978e10i | 0.337644 | + | 0.194939i | ||||
\(634\) | 2.33997e11 | − | 4.05295e11i | 1.44828 | − | 2.50850i | ||||
\(635\) | 1.65195e11 | − | 9.53755e10i | 1.01602 | − | 0.586600i | ||||
\(636\) | 1.05688e11i | 0.645949i | ||||||||
\(637\) | −8.99246e9 | + | 6.76885e9i | −0.0546161 | + | 0.0411109i | ||||
\(638\) | 3.12196e11 | 1.88428 | ||||||||
\(639\) | 1.17083e10 | + | 2.02793e10i | 0.0702245 | + | 0.121632i | ||||
\(640\) | 3.81824e11 | + | 2.20446e11i | 2.27585 | + | 1.31396i | ||||
\(641\) | 8.63926e10 | − | 1.49636e11i | 0.511734 | − | 0.886349i | −0.488173 | − | 0.872747i | \(-0.662337\pi\) |
0.999907 | − | 0.0136028i | \(-0.00433004\pi\) | |||||||
\(642\) | −9.52934e8 | + | 5.50176e8i | −0.00560948 | + | 0.00323863i | ||||
\(643\) | 3.33550e11i | 1.95127i | 0.219401 | + | 0.975635i | \(0.429590\pi\) | ||||
−0.219401 | + | 0.975635i | \(0.570410\pi\) | |||||||
\(644\) | 9.54299e10 | − | 1.91276e11i | 0.554806 | − | 1.11203i | ||||
\(645\) | −3.19067e10 | −0.184350 | ||||||||
\(646\) | −2.22623e10 | − | 3.85594e10i | −0.127832 | − | 0.221411i | ||||
\(647\) | 2.23139e11 | + | 1.28829e11i | 1.27338 | + | 0.735187i | 0.975623 | − | 0.219455i | \(-0.0704279\pi\) |
0.297758 | + | 0.954641i | \(0.403761\pi\) | |||||||
\(648\) | 3.13356e10 | − | 5.42749e10i | 0.177721 | − | 0.307822i | ||||
\(649\) | −3.63077e11 | + | 2.09622e11i | −2.04654 | + | 1.18157i | ||||
\(650\) | − | 1.99723e9i | − | 0.0111886i | ||||||
\(651\) | −1.23012e11 | + | 7.49109e9i | −0.684896 | + | 0.0417082i | ||||
\(652\) | −8.99421e11 | −4.97706 | ||||||||
\(653\) | −4.34196e10 | − | 7.52050e10i | −0.238799 | − | 0.413613i | 0.721571 | − | 0.692341i | \(-0.243421\pi\) |
−0.960370 | + | 0.278728i | \(0.910087\pi\) | |||||||
\(654\) | 5.51110e10 | + | 3.18183e10i | 0.301250 | + | 0.173927i | ||||
\(655\) | 3.25276e9 | − | 5.63395e9i | 0.0176721 | − | 0.0306089i | ||||
\(656\) | −8.27683e11 | + | 4.77863e11i | −4.46939 | + | 2.58040i | ||||
\(657\) | − | 6.45678e10i | − | 0.346541i | ||||||
\(658\) | 1.37911e11 | − | 9.12287e10i | 0.735690 | − | 0.486663i | ||||
\(659\) | −1.52693e11 | −0.809612 | −0.404806 | − | 0.914403i | \(-0.632661\pi\) | ||||
−0.404806 | + | 0.914403i | \(0.632661\pi\) | |||||||
\(660\) | 2.55101e11 | + | 4.41848e11i | 1.34442 | + | 2.32861i | ||||
\(661\) | 1.33616e11 | + | 7.71432e10i | 0.699927 | + | 0.404103i | 0.807320 | − | 0.590114i | \(-0.200917\pi\) |
−0.107393 | + | 0.994217i | \(0.534250\pi\) | |||||||
\(662\) | 1.42307e11 | − | 2.46483e11i | 0.740958 | − | 1.28338i | ||||
\(663\) | 5.00845e9 | − | 2.89163e9i | 0.0259208 | − | 0.0149654i | ||||
\(664\) | − | 1.08819e12i | − | 5.59799i | ||||||
\(665\) | −1.97819e10 | − | 2.99044e10i | −0.101154 | − | 0.152915i | ||||
\(666\) | 8.53958e10 | 0.434050 | ||||||||
\(667\) | 2.70614e10 | + | 4.68717e10i | 0.136725 | + | 0.236814i | ||||
\(668\) | −5.23692e11 | − | 3.02354e11i | −2.63009 | − | 1.51848i | ||||
\(669\) | −2.03928e10 | + | 3.53213e10i | −0.101806 | + | 0.176333i | ||||
\(670\) | 4.61537e11 | − | 2.66469e11i | 2.29038 | − | 1.32235i | ||||
\(671\) | − | 6.90817e10i | − | 0.340779i | ||||||
\(672\) | 2.45202e10 | + | 4.02649e11i | 0.120239 | + | 1.97446i | ||||
\(673\) | 2.36882e11 | 1.15471 | 0.577354 | − | 0.816494i | \(-0.304085\pi\) | ||||
0.577354 | + | 0.816494i | \(0.304085\pi\) | |||||||
\(674\) | −8.13233e10 | − | 1.40856e11i | −0.394072 | − | 0.682553i | ||||
\(675\) | 2.95606e9 | + | 1.70668e9i | 0.0142396 | + | 0.00822125i | ||||
\(676\) | −2.77469e11 | + | 4.80590e11i | −1.32870 | + | 2.30138i | ||||
\(677\) | −1.56754e11 | + | 9.05022e10i | −0.746217 | + | 0.430829i | −0.824325 | − | 0.566116i | \(-0.808445\pi\) |
0.0781082 | + | 0.996945i | \(0.475112\pi\) | |||||||
\(678\) | − | 3.74776e11i | − | 1.77359i | ||||||
\(679\) | 7.40361e10 | + | 3.69375e10i | 0.348309 | + | 0.173775i | ||||
\(680\) | −5.40417e11 | −2.52751 | ||||||||
\(681\) | 4.21003e10 | + | 7.29199e10i | 0.195748 | + | 0.339045i | ||||
\(682\) | 7.14194e11 | + | 4.12340e11i | 3.30125 | + | 1.90598i | ||||
\(683\) | 5.76235e10 | − | 9.98069e10i | 0.264799 | − | 0.458646i | −0.702712 | − | 0.711475i | \(-0.748028\pi\) |
0.967511 | + | 0.252829i | \(0.0813609\pi\) | |||||||
\(684\) | 2.96886e10 | − | 1.71407e10i | 0.135633 | − | 0.0783076i | ||||
\(685\) | 2.11880e11i | 0.962336i | ||||||||
\(686\) | 2.75273e11 | + | 3.22821e11i | 1.24299 | + | 1.45769i | ||||
\(687\) | 5.98615e10 | 0.268733 | ||||||||
\(688\) | 1.18740e11 | + | 2.05664e11i | 0.529960 | + | 0.917918i | ||||
\(689\) | −5.59080e9 | − | 3.22785e9i | −0.0248083 | − | 0.0143231i | ||||
\(690\) | −6.07891e10 | + | 1.05290e11i | −0.268182 | + | 0.464504i | ||||
\(691\) | −2.41583e11 | + | 1.39478e11i | −1.05963 | + | 0.611778i | −0.925330 | − | 0.379163i | \(-0.876212\pi\) |
−0.134301 | + | 0.990941i | \(0.542879\pi\) | |||||||
\(692\) | − | 1.43432e11i | − | 0.625490i | ||||||
\(693\) | −5.74649e10 | + | 1.15180e11i | −0.249155 | + | 0.499397i | ||||
\(694\) | −9.34162e10 | −0.402703 | ||||||||
\(695\) | 2.13589e11 | + | 3.69948e11i | 0.915462 | + | 1.58563i | ||||
\(696\) | −2.20497e11 | − | 1.27304e11i | −0.939650 | − | 0.542507i | ||||
\(697\) | 1.33545e11 | − | 2.31306e11i | 0.565843 | − | 0.980068i | ||||
\(698\) | −1.35683e11 | + | 7.83365e10i | −0.571614 | + | 0.330022i | ||||
\(699\) | − | 6.20599e10i | − | 0.259957i | ||||||
\(700\) | −5.46676e10 | + | 3.32910e9i | −0.227687 | + | 0.0138655i | ||||
\(701\) | 2.31657e11 | 0.959340 | 0.479670 | − | 0.877449i | \(-0.340756\pi\) | ||||
0.479670 | + | 0.877449i | \(0.340756\pi\) | |||||||
\(702\) | 3.06028e9 | + | 5.30056e9i | 0.0126012 | + | 0.0218260i | ||||
\(703\) | 2.53017e10 | + | 1.46080e10i | 0.103593 | + | 0.0598093i | ||||
\(704\) | 6.38531e11 | − | 1.10597e12i | 2.59951 | − | 4.50248i | ||||
\(705\) | −5.92536e10 | + | 3.42101e10i | −0.239860 | + | 0.138483i | ||||
\(706\) | 4.25331e11i | 1.71202i | ||||||||
\(707\) | −6.66181e10 | + | 4.40682e10i | −0.266633 | + | 0.176379i | ||||
\(708\) | 5.46663e11 | 2.17564 | ||||||||
\(709\) | 6.11339e10 | + | 1.05887e11i | 0.241934 | + | 0.419042i | 0.961265 | − | 0.275625i | \(-0.0888848\pi\) |
−0.719331 | + | 0.694668i | \(0.755551\pi\) | |||||||
\(710\) | 1.85068e11 | + | 1.06849e11i | 0.728281 | + | 0.420473i | ||||
\(711\) | 2.81870e10 | − | 4.88214e10i | 0.110299 | − | 0.191043i | ||||
\(712\) | −5.01384e11 | + | 2.89474e11i | −1.95097 | + | 1.12639i | ||||
\(713\) | 1.42968e11i | 0.553198i | ||||||||
\(714\) | −1.20269e11 | − | 1.81811e11i | −0.462765 | − | 0.699564i | ||||
\(715\) | −3.11644e10 | −0.119243 | ||||||||
\(716\) | 2.53760e11 | + | 4.39526e11i | 0.965543 | + | 1.67237i | ||||
\(717\) | 8.60188e10 | + | 4.96630e10i | 0.325474 | + | 0.187913i | ||||
\(718\) | 6.44882e10 | − | 1.11697e11i | 0.242651 | − | 0.420284i | ||||
\(719\) | 2.21520e11 | − | 1.27895e11i | 0.828890 | − | 0.478560i | −0.0245824 | − | 0.999698i | \(-0.507826\pi\) |
0.853472 | + | 0.521138i | \(0.174492\pi\) | |||||||
\(720\) | − | 3.22763e11i | − | 1.20103i | ||||||
\(721\) | −2.71311e10 | − | 4.45523e11i | −0.100398 | − | 1.64865i | ||||
\(722\) | −5.04443e11 | −1.85637 | ||||||||
\(723\) | −5.81191e10 | − | 1.00665e11i | −0.212699 | − | 0.368406i | ||||
\(724\) | −3.19285e11 | − | 1.84339e11i | −1.16205 | − | 0.670910i | ||||
\(725\) | 6.93357e9 | − | 1.20093e10i | 0.0250960 | − | 0.0434676i | ||||
\(726\) | 4.79850e11 | − | 2.77041e11i | 1.72726 | − | 0.997236i | ||||
\(727\) | − | 4.63666e11i | − | 1.65984i | −0.557879 | − | 0.829922i | \(-0.688385\pi\) | ||
0.557879 | − | 0.829922i | \(-0.311615\pi\) | |||||||
\(728\) | −5.49629e10 | − | 2.74216e10i | −0.195679 | − | 0.0976265i | ||||
\(729\) | −1.04604e10 | −0.0370370 | ||||||||
\(730\) | −2.94622e11 | − | 5.10301e11i | −1.03747 | − | 1.79695i | ||||
\(731\) | −5.74753e10 | − | 3.31834e10i | −0.201285 | − | 0.116212i | ||||
\(732\) | −4.50386e10 | + | 7.80092e10i | −0.156870 | + | 0.271707i | ||||
\(733\) | 1.22278e11 | − | 7.05971e10i | 0.423576 | − | 0.244552i | −0.273030 | − | 0.962006i | \(-0.588026\pi\) |
0.696606 | + | 0.717454i | \(0.254693\pi\) | |||||||
\(734\) | 3.16188e11i | 1.08933i | ||||||||
\(735\) | −1.05572e11 | − | 1.40253e11i | −0.361743 | − | 0.480578i | ||||
\(736\) | 4.67968e11 | 1.59480 | ||||||||
\(737\) | −3.27282e11 | − | 5.66869e11i | −1.10931 | − | 1.92138i | ||||
\(738\) | 2.44797e11 | + | 1.41334e11i | 0.825241 | + | 0.476453i | ||||
\(739\) | −1.67804e11 | + | 2.90645e11i | −0.562633 | + | 0.974509i | 0.434633 | + | 0.900608i | \(0.356878\pi\) |
−0.997266 | + | 0.0739008i | \(0.976455\pi\) | |||||||
\(740\) | 4.91006e11 | − | 2.83482e11i | 1.63742 | − | 0.945364i | ||||
\(741\) | 2.09399e9i | 0.00694548i | ||||||||
\(742\) | −1.08634e11 | + | 2.17742e11i | −0.358386 | + | 0.718335i | ||||
\(743\) | 4.56688e11 | 1.49853 | 0.749263 | − | 0.662273i | \(-0.230408\pi\) | ||||
0.749263 | + | 0.662273i | \(0.230408\pi\) | |||||||
\(744\) | −3.36280e11 | − | 5.82454e11i | −1.09751 | − | 1.90095i | ||||
\(745\) | −5.01501e11 | − | 2.89542e11i | −1.62797 | − | 0.939910i | ||||
\(746\) | −4.24582e11 | + | 7.35398e11i | −1.37090 | + | 2.37447i | ||||
\(747\) | −1.57294e11 | + | 9.08139e10i | −0.505162 | + | 0.291655i | ||||
\(748\) | 1.06123e12i | 3.39004i | ||||||||
\(749\) | −1.83971e9 | + | 1.12033e8i | −0.00584552 | + | 0.000355975i | ||||
\(750\) | −3.33446e11 | −1.05386 | ||||||||
\(751\) | 3.18491e10 | + | 5.51643e10i | 0.100124 | + | 0.173420i | 0.911736 | − | 0.410778i | \(-0.134743\pi\) |
−0.811612 | + | 0.584197i | \(0.801409\pi\) | |||||||
\(752\) | 4.41022e11 | + | 2.54624e11i | 1.37908 | + | 0.796211i | ||||
\(753\) | −1.48003e11 | + | 2.56349e11i | −0.460354 | + | 0.797356i | ||||
\(754\) | 2.15341e10 | − | 1.24327e10i | 0.0666256 | − | 0.0384663i | ||||
\(755\) | − | 2.05335e11i | − | 0.631938i | ||||||
\(756\) | 1.39984e11 | − | 9.26004e10i | 0.428541 | − | 0.283482i | ||||
\(757\) | 8.33797e10 | 0.253908 | 0.126954 | − | 0.991909i | \(-0.459480\pi\) | ||||
0.126954 | + | 0.991909i | \(0.459480\pi\) | |||||||
\(758\) | −4.68230e11 | − | 8.10999e11i | −1.41835 | − | 2.45665i | ||||
\(759\) | 1.29319e11 | + | 7.46623e10i | 0.389668 | + | 0.224975i | ||||
\(760\) | 9.78366e10 | − | 1.69458e11i | 0.293256 | − | 0.507934i | ||||
\(761\) | −2.45433e10 | + | 1.41701e10i | −0.0731802 | + | 0.0422506i | −0.536144 | − | 0.844127i | \(-0.680119\pi\) |
0.462963 | + | 0.886377i | \(0.346786\pi\) | |||||||
\(762\) | 4.19908e11i | 1.24547i | ||||||||
\(763\) | 5.88092e10 | + | 8.89021e10i | 0.173519 | + | 0.262309i | ||||
\(764\) | 3.51182e11 | 1.03076 | ||||||||
\(765\) | 4.51000e10 | + | 7.81155e10i | 0.131683 | + | 0.228082i | ||||
\(766\) | 7.28498e11 | + | 4.20599e11i | 2.11599 | + | 1.22167i | ||||
\(767\) | −1.66958e10 | + | 2.89179e10i | −0.0482420 | + | 0.0835575i | ||||
\(768\) | −3.00390e11 | + | 1.73430e11i | −0.863457 | + | 0.498517i | ||||
\(769\) | 4.43772e10i | 0.126898i | 0.997985 | + | 0.0634490i | \(0.0202100\pi\) | ||||
−0.997985 | + | 0.0634490i | \(0.979790\pi\) | |||||||
\(770\) | 7.14032e10 | + | 1.17252e12i | 0.203121 | + | 3.33547i | ||||
\(771\) | −9.90163e10 | −0.280213 | ||||||||
\(772\) | −1.50513e11 | − | 2.60695e11i | −0.423744 | − | 0.733946i | ||||
\(773\) | −8.28240e10 | − | 4.78185e10i | −0.231973 | − | 0.133930i | 0.379509 | − | 0.925188i | \(-0.376093\pi\) |
−0.611482 | + | 0.791258i | \(0.709426\pi\) | |||||||
\(774\) | 3.51188e10 | − | 6.08276e10i | 0.0978534 | − | 0.169487i | ||||
\(775\) | 3.17231e10 | − | 1.83154e10i | 0.0879365 | − | 0.0507702i | ||||
\(776\) | 4.51532e11i | 1.24521i | ||||||||
\(777\) | 1.27995e11 | + | 6.38581e10i | 0.351163 | + | 0.175199i | ||||
\(778\) | −1.28977e12 | −3.52041 | ||||||||
\(779\) | 4.83536e10 | + | 8.37510e10i | 0.131304 | + | 0.227426i | ||||
\(780\) | 3.51918e10 | + | 2.03180e10i | 0.0950743 | + | 0.0548912i | ||||
\(781\) | 1.31234e11 | − | 2.27304e11i | 0.352731 | − | 0.610947i | ||||
\(782\) | −2.19005e11 | + | 1.26443e11i | −0.585636 | + | 0.338117i | ||||
\(783\) | 4.24962e10i | 0.113059i | ||||||||
\(784\) | −5.11158e11 | + | 1.20244e12i | −1.35298 | + | 3.18274i | ||||
\(785\) | −3.06345e11 | −0.806738 | ||||||||
\(786\) | 7.16045e9 | + | 1.24023e10i | 0.0187607 | + | 0.0324945i | ||||
\(787\) | −3.13558e11 | − | 1.81033e11i | −0.817370 | − | 0.471909i | 0.0321384 | − | 0.999483i | \(-0.489768\pi\) |
−0.849509 | + | 0.527574i | \(0.823102\pi\) | |||||||
\(788\) | 9.96630e10 | − | 1.72621e11i | 0.258481 | − | 0.447703i | ||||
\(789\) | −1.37482e11 | + | 7.93751e10i | −0.354762 | + | 0.204822i | ||||
\(790\) | − | 5.14468e11i | − | 1.32084i | ||||||
\(791\) | 2.80254e11 | − | 5.61730e11i | 0.715888 | − | 1.43490i | ||||
\(792\) | −7.02463e11 | −1.78535 | ||||||||
\(793\) | −2.75107e9 | − | 4.76499e9i | −0.00695679 | − | 0.0120495i | ||||
\(794\) | 4.19965e10 | + | 2.42467e10i | 0.105665 | + | 0.0610058i | ||||
\(795\) | 5.03440e10 | − | 8.71983e10i | 0.126031 | − | 0.218293i | ||||
\(796\) | 1.13424e12 | − | 6.54855e11i | 2.82523 | − | 1.63115i | ||||
\(797\) | − | 5.21156e11i | − | 1.29162i | −0.763499 | − | 0.645809i | \(-0.776520\pi\) | ||
0.763499 | − | 0.645809i | \(-0.223480\pi\) | |||||||
\(798\) | 7.87838e10 | − | 4.79770e9i | 0.194279 | − | 0.0118310i | ||||
\(799\) | −1.42316e11 | −0.349193 | ||||||||
\(800\) | −5.99506e10 | − | 1.03837e11i | −0.146364 | − | 0.253509i | ||||
\(801\) | 8.36852e10 | + | 4.83157e10i | 0.203291 | + | 0.117370i | ||||
\(802\) | 1.53205e11 | − | 2.65359e11i | 0.370319 | − | 0.641412i | ||||
\(803\) | −6.26761e11 | + | 3.61861e11i | −1.50744 | + | 0.870320i | ||||
\(804\) | 8.53501e11i | 2.04258i | ||||||||
\(805\) | −1.69848e11 | + | 1.12355e11i | −0.404461 | + | 0.267553i | ||||
\(806\) | 6.56831e10 | 0.155637 | ||||||||
\(807\) | 1.11846e11 | + | 1.93723e11i | 0.263710 | + | 0.456759i | ||||
\(808\) | −3.77502e11 | − | 2.17951e11i | −0.885673 | − | 0.511343i | ||||
\(809\) | 5.19542e10 | − | 8.99874e10i | 0.121291 | − | 0.210081i | −0.798986 | − | 0.601349i | \(-0.794630\pi\) |
0.920277 | + | 0.391268i | \(0.127963\pi\) | |||||||
\(810\) | −8.26716e10 | + | 4.77305e10i | −0.192051 | + | 0.110881i | ||||
\(811\) | − | 5.38192e11i | − | 1.24410i | −0.782979 | − | 0.622048i | \(-0.786301\pi\) | ||
0.782979 | − | 0.622048i | \(-0.213699\pi\) | |||||||
\(812\) | −3.76198e11 | − | 5.68700e11i | −0.865352 | − | 1.30816i | ||||
\(813\) | 3.39013e11 | 0.775985 | ||||||||
\(814\) | −4.78588e11 | − | 8.28938e11i | −1.09009 | − | 1.88810i | ||||
\(815\) | 7.42070e11 | + | 4.28434e11i | 1.68195 | + | 0.971077i | ||||
\(816\) | 3.35677e11 | − | 5.81410e11i | 0.757114 | − | 1.31136i | ||||
\(817\) | 2.08106e10 | − | 1.20150e10i | 0.0467085 | − | 0.0269672i | ||||
\(818\) | − | 3.16980e11i | − | 0.707977i | ||||||
\(819\) | 6.23170e8 | + | 1.02332e10i | 0.00138507 | + | 0.0227444i | ||||
\(820\) | 1.87670e12 | 4.15088 | ||||||||
\(821\) | 1.90782e11 | + | 3.30444e11i | 0.419919 | + | 0.727320i | 0.995931 | − | 0.0901206i | \(-0.0287253\pi\) |
−0.576012 | + | 0.817441i | \(0.695392\pi\) | |||||||
\(822\) | −4.03931e11 | − | 2.33210e11i | −0.884749 | − | 0.510810i | ||||
\(823\) | 2.35041e11 | − | 4.07103e11i | 0.512324 | − | 0.887371i | −0.487574 | − | 0.873082i | \(-0.662118\pi\) |
0.999898 | − | 0.0142896i | \(-0.00454867\pi\) | |||||||
\(824\) | 2.10952e12 | − | 1.21793e12i | 4.57588 | − | 2.64189i | ||||
\(825\) | − | 3.82594e10i | − | 0.0825890i | ||||||
\(826\) | 1.12625e12 | + | 5.61901e11i | 2.41944 | + | 1.20709i | ||||
\(827\) | −5.75326e11 | −1.22996 | −0.614981 | − | 0.788542i | \(-0.710836\pi\) | ||||
−0.614981 | + | 0.788542i | \(0.710836\pi\) | |||||||
\(828\) | −9.73539e10 | − | 1.68622e11i | −0.207125 | − | 0.358750i | ||||
\(829\) | −4.87574e11 | − | 2.81501e11i | −1.03234 | − | 0.596022i | −0.114686 | − | 0.993402i | \(-0.536586\pi\) |
−0.917654 | + | 0.397380i | \(0.869919\pi\) | |||||||
\(830\) | −8.28766e11 | + | 1.43546e12i | −1.74630 | + | 3.02468i | ||||
\(831\) | −1.02970e11 | + | 5.94500e10i | −0.215928 | + | 0.124666i | ||||
\(832\) | − | 1.01714e11i | − | 0.212269i | ||||||
\(833\) | −4.43077e10 | − | 3.62442e11i | −0.0920236 | − | 0.752764i | ||||
\(834\) | −9.40367e11 | −1.94372 | ||||||||
\(835\) | 2.88049e11 | + | 4.98915e11i | 0.592543 | + | 1.02632i | ||||
\(836\) | −3.32770e11 | − | 1.92125e11i | −0.681270 | − | 0.393331i | ||||
\(837\) | −5.61279e10 | + | 9.72164e10i | −0.114361 | + | 0.198079i | ||||
\(838\) | −2.37889e11 | + | 1.37345e11i | −0.482391 | + | 0.278508i | ||||
\(839\) | 7.63569e11i | 1.54099i | 0.637444 | + | 0.770496i | \(0.279992\pi\) | ||||
−0.637444 | + | 0.770496i | \(0.720008\pi\) | |||||||
\(840\) | 4.27689e11 | − | 8.57243e11i | 0.859034 | − | 1.72182i | ||||
\(841\) | −3.27601e11 | −0.654880 | ||||||||
\(842\) | 5.33154e11 | + | 9.23450e11i | 1.06073 | + | 1.83724i | ||||
\(843\) | 6.95671e10 | + | 4.01646e10i | 0.137751 | + | 0.0795303i | ||||
\(844\) | −4.57426e11 | + | 7.92284e11i | −0.901469 | + | 1.56139i | ||||
\(845\) | 4.57853e11 | − | 2.64341e11i | 0.898047 | − | 0.518487i | ||||
\(846\) | − | 1.50616e11i | − | 0.294029i | ||||||
\(847\) | 9.26387e11 | − | 5.64143e10i | 1.79994 | − | 0.109611i | ||||
\(848\) | −7.49415e11 | −1.44924 | ||||||||
\(849\) | −1.13853e11 | − | 1.97199e11i | −0.219136 | − | 0.379555i | ||||
\(850\) | 5.61128e10 | + | 3.23967e10i | 0.107494 | + | 0.0620620i | ||||
\(851\) | 8.29688e10 | − | 1.43706e11i | 0.158196 | − | 0.274004i | ||||
\(852\) | −2.96388e11 | + | 1.71119e11i | −0.562473 | + | 0.324744i | ||||
\(853\) | − | 2.88270e11i | − | 0.544508i | −0.962225 | − | 0.272254i | \(-0.912231\pi\) | ||
0.962225 | − | 0.272254i | \(-0.0877690\pi\) | |||||||
\(854\) | −1.72974e11 | + | 1.14423e11i | −0.325198 | + | 0.215120i | ||||
\(855\) | −3.26595e10 | −0.0611146 | ||||||||
\(856\) | −5.02924e9 | − | 8.71090e9i | −0.00936715 | − | 0.0162244i | ||||
\(857\) | 4.04582e11 | + | 2.33585e11i | 0.750037 | + | 0.433034i | 0.825707 | − | 0.564099i | \(-0.190776\pi\) |
−0.0756701 | + | 0.997133i | \(0.524110\pi\) | |||||||
\(858\) | 3.43018e10 | − | 5.94124e10i | 0.0632947 | − | 0.109630i | ||||
\(859\) | −7.74712e11 | + | 4.47280e11i | −1.42288 | + | 0.821499i | −0.996544 | − | 0.0830664i | \(-0.973529\pi\) |
−0.426334 | + | 0.904566i | \(0.640195\pi\) | |||||||
\(860\) | − | 4.66326e11i | − | 0.852502i | ||||||
\(861\) | 2.61224e11 | + | 3.94894e11i | 0.475336 | + | 0.718568i | ||||
\(862\) | 7.33337e10 | 0.132823 | ||||||||
\(863\) | 5.16717e11 | + | 8.94980e11i | 0.931557 | + | 1.61350i | 0.780661 | + | 0.624954i | \(0.214882\pi\) |
0.150896 | + | 0.988550i | \(0.451784\pi\) | |||||||
\(864\) | 3.18213e11 | + | 1.83720e11i | 0.571035 | + | 0.329687i | ||||
\(865\) | −6.83228e10 | + | 1.18339e11i | −0.122040 | + | 0.211379i | ||||
\(866\) | 6.69245e11 | − | 3.86389e11i | 1.18991 | − | 0.686994i | ||||
\(867\) | − | 1.38606e11i | − | 0.245304i | ||||||
\(868\) | −1.09484e11 | − | 1.79786e12i | −0.192874 | − | 3.16721i | ||||
\(869\) | −6.31879e11 | −1.10804 | ||||||||
\(870\) | 1.93910e11 | + | 3.35862e11i | 0.338472 | + | 0.586251i | ||||
\(871\) | −4.51493e10 | − | 2.60670e10i | −0.0784474 | − | 0.0452916i | ||||
\(872\) | −2.90856e11 | + | 5.03777e11i | −0.503051 | + | 0.871310i | ||||
\(873\) | 6.52675e10 | − | 3.76822e10i | 0.112367 | − | 0.0648753i | ||||
\(874\) | − | 9.15644e10i | − | 0.156921i | ||||||
\(875\) | −4.99783e11 | − | 2.49348e11i | −0.852608 | − | 0.425376i | ||||
\(876\) | 9.43677e11 | 1.60253 | ||||||||
\(877\) | 3.43223e11 | + | 5.94479e11i | 0.580200 | + | 1.00494i | 0.995455 | + | 0.0952306i | \(0.0303589\pi\) |
−0.415255 | + | 0.909705i | \(0.636308\pi\) | |||||||
\(878\) | −9.35457e11 | − | 5.40086e11i | −1.57415 | − | 0.908835i | ||||
\(879\) | 2.27020e11 | − | 3.93211e11i | 0.380285 | − | 0.658673i | ||||
\(880\) | −3.13306e12 | + | 1.80887e12i | −5.22442 | + | 3.01632i | ||||
\(881\) | 8.06663e10i | 0.133902i | 0.997756 | + | 0.0669512i | \(0.0213272\pi\) | ||||
−0.997756 | + | 0.0669512i | \(0.978673\pi\) | |||||||
\(882\) | 3.83582e11 | − | 4.68919e10i | 0.633846 | − | 0.0774861i | ||||
\(883\) | 4.94869e10 | 0.0814043 | 0.0407021 | − | 0.999171i | \(-0.487041\pi\) | ||||
0.0407021 | + | 0.999171i | \(0.487041\pi\) | |||||||
\(884\) | 4.22619e10 | + | 7.31998e10i | 0.0692055 | + | 0.119867i | ||||
\(885\) | −4.51026e11 | − | 2.60400e11i | −0.735239 | − | 0.424490i | ||||
\(886\) | −4.40302e11 | + | 7.62626e11i | −0.714522 | + | 1.23759i | ||||
\(887\) | 1.39887e11 | − | 8.07636e10i | 0.225986 | − | 0.130473i | −0.382733 | − | 0.923859i | \(-0.625017\pi\) |
0.608719 | + | 0.793386i | \(0.291684\pi\) | |||||||
\(888\) | 7.80615e11i | 1.25541i | ||||||||
\(889\) | −3.14003e11 | + | 6.29376e11i | −0.502721 | + | 1.00764i | ||||
\(890\) | 8.81856e11 | 1.40552 | ||||||||
\(891\) | 5.86235e10 | + | 1.01539e11i | 0.0930166 | + | 0.161110i | ||||
\(892\) | −5.16231e11 | − | 2.98046e11i | −0.815426 | − | 0.470787i | ||||
\(893\) | 2.57647e10 | − | 4.46258e10i | 0.0405154 | − | 0.0701747i | ||||
\(894\) | 1.10398e12 | − | 6.37381e11i | 1.72826 | − | 0.997812i | ||||
\(895\) | − | 4.83509e11i | − | 0.753551i | ||||||
\(896\) | −1.62270e12 | + | 9.88178e10i | −2.51771 | + | 0.153322i | ||||
\(897\) | 1.18932e10 | 0.0183709 | ||||||||
\(898\) | −1.29649e11 | − | 2.24558e11i | −0.199371 | − | 0.345321i | ||||
\(899\) | 3.94951e11 | + | 2.28025e11i | 0.604651 | + | 0.349095i | ||||
\(900\) | −2.49437e10 | + | 4.32037e10i | −0.0380181 | + | 0.0658492i | ||||
\(901\) | 1.81375e11 | − | 1.04717e11i | 0.275218 | − | 0.158897i | ||||
\(902\) | − | 3.16833e12i | − | 4.78635i | ||||||
\(903\) | 9.81238e10 | − | 6.49094e10i | 0.147579 | − | 0.0976240i | ||||
\(904\) | 3.42588e12 | 5.12978 | ||||||||
\(905\) | 1.75618e11 | + | 3.04179e11i | 0.261803 | + | 0.453456i | ||||
\(906\) | 3.91454e11 | + | 2.26006e11i | 0.580989 | + | 0.335434i | ||||
\(907\) | −3.85048e11 | + | 6.66922e11i | −0.568965 | + | 0.985476i | 0.427704 | + | 0.903919i | \(0.359323\pi\) |
−0.996669 | + | 0.0815567i | \(0.974011\pi\) | |||||||
\(908\) | −1.06575e12 | + | 6.15308e11i | −1.56787 | + | 0.905210i | ||||
\(909\) | 7.27556e10i | 0.106564i | ||||||||
\(910\) | 5.16189e10 | + | 7.80325e10i | 0.0752737 | + | 0.113792i | ||||
\(911\) | −7.35040e11 | −1.06718 | −0.533589 | − | 0.845744i | \(-0.679157\pi\) | ||||
−0.533589 | + | 0.845744i | \(0.679157\pi\) | |||||||
\(912\) | 1.21541e11 | + | 2.10516e11i | 0.175689 | + | 0.304303i | ||||
\(913\) | 1.76306e12 | + | 1.01790e12i | 2.53738 | + | 1.46495i | ||||
\(914\) | 9.44823e11 | − | 1.63648e12i | 1.35383 | − | 2.34491i | ||||
\(915\) | 7.43185e10 | − | 4.29078e10i | 0.106026 | − | 0.0612141i | ||||
\(916\) | 8.74893e11i | 1.24272i | ||||||||
\(917\) | 1.45809e9 | + | 2.39435e10i | 0.00206209 | + | 0.0338619i | ||||
\(918\) | −1.98561e11 | −0.279591 | ||||||||
\(919\) | −2.71903e11 | − | 4.70949e11i | −0.381199 | − | 0.660255i | 0.610035 | − | 0.792374i | \(-0.291155\pi\) |
−0.991234 | + | 0.132119i | \(0.957822\pi\) | |||||||
\(920\) | −9.62469e11 | − | 5.55682e11i | −1.34349 | − | 0.775666i | ||||
\(921\) | −2.58931e11 | + | 4.48481e11i | −0.359870 | + | 0.623313i | ||||
\(922\) | −1.01989e12 | + | 5.88832e11i | −1.41133 | + | 0.814831i | ||||
\(923\) | − | 2.09048e10i | − | 0.0288031i | ||||||
\(924\) | −1.68339e12 | − | 8.39865e11i | −2.30939 | − | 1.15218i | ||||
\(925\) | −4.25159e10 | −0.0580744 | ||||||||
\(926\) | −1.19779e12 | − | 2.07463e12i | −1.62906 | − | 2.82161i | ||||
\(927\) | −3.52096e11 | − | 2.03283e11i | −0.476807 | − | 0.275285i | ||||
\(928\) | 7.46382e11 | − | 1.29277e12i | 1.00640 | − | 1.74313i | ||||
\(929\) | −2.54149e11 | + | 1.46733e11i | −0.341214 | + | 0.197000i | −0.660809 | − | 0.750554i | \(-0.729786\pi\) |
0.319595 | + | 0.947554i | \(0.396453\pi\) | |||||||
\(930\) | 1.02444e12i | 1.36948i | ||||||||
\(931\) | 1.21672e11 | + | 5.17227e10i | 0.161954 | + | 0.0688466i | ||||
\(932\) | 9.07022e11 | 1.20214 | ||||||||
\(933\) | 2.32114e10 | + | 4.02034e10i | 0.0306320 | + | 0.0530562i | ||||
\(934\) | −1.13337e12 | − | 6.54350e11i | −1.48930 | − | 0.859849i | ||||
\(935\) | 5.05512e11 | − | 8.75573e11i | 0.661432 | − | 1.14563i | ||||
\(936\) | −4.84532e10 | + | 2.79745e10i | −0.0631276 | + | 0.0364467i | ||||
\(937\) | 5.72665e11i | 0.742920i | 0.928449 | + | 0.371460i | \(0.121143\pi\) | ||||
−0.928449 | + | 0.371460i | \(0.878857\pi\) | |||||||
\(938\) | −8.77291e11 | + | 1.75841e12i | −1.13327 | + | 2.27148i | ||||
\(939\) | −6.04236e11 | −0.777220 | ||||||||
\(940\) | −4.99990e11 | − | 8.66009e11i | −0.640398 | − | 1.10920i | ||||
\(941\) | −1.60432e11 | − | 9.26254e10i | −0.204613 | − | 0.118133i | 0.394193 | − | 0.919028i | \(-0.371024\pi\) |
−0.598805 | + | 0.800895i | \(0.704358\pi\) | |||||||
\(942\) | 3.37186e11 | − | 5.84023e11i | 0.428219 | − | 0.741696i | ||||
\(943\) | 4.75680e11 | − | 2.74634e11i | 0.601545 | − | 0.347302i | ||||
\(944\) | 3.87629e12i | 4.88122i | ||||||||
\(945\) | −1.59604e11 | + | 9.71943e9i | −0.200132 | + | 0.0121875i | ||||
\(946\) | −7.87272e11 | −0.983016 | ||||||||
\(947\) | 2.86748e10 | + | 4.96663e10i | 0.0356534 | + | 0.0617535i | 0.883302 | − | 0.468805i | \(-0.155315\pi\) |
−0.847648 | + | 0.530559i | \(0.821982\pi\) | |||||||
\(948\) | 7.13538e11 | + | 4.11961e11i | 0.883453 | + | 0.510062i | ||||
\(949\) | −2.88210e10 | + | 4.99195e10i | −0.0355341 | + | 0.0615468i | ||||
\(950\) | −2.03172e10 | + | 1.17302e10i | −0.0249442 | + | 0.0144016i | ||||
\(951\) | − | 7.14034e11i | − | 0.872965i | ||||||
\(952\) | 1.66196e12 | − | 1.09940e12i | 2.02336 | − | 1.33846i | ||||
\(953\) | 6.64050e11 | 0.805062 | 0.402531 | − | 0.915406i | \(-0.368131\pi\) | ||||
0.402531 | + | 0.915406i | \(0.368131\pi\) | |||||||
\(954\) | 1.10824e11 | + | 1.91953e11i | 0.133796 | + | 0.231741i | ||||
\(955\) | −2.89744e11 | − | 1.67284e11i | −0.348338 | − | 0.201113i | ||||
\(956\) | −7.25838e11 | + | 1.25719e12i | −0.868977 | + | 1.50511i | ||||
\(957\) | 4.12512e11 | − | 2.38164e11i | 0.491800 | − | 0.283941i | ||||
\(958\) | 1.90587e11i | 0.226272i | ||||||||
\(959\) | −4.31037e11 | − | 6.51601e11i | −0.509613 | − | 0.770384i | ||||
\(960\) | 1.58641e12 | 1.86780 | ||||||||
\(961\) | 1.75894e11 | + | 3.04657e11i | 0.206233 | + | 0.357205i | ||||
\(962\) | −6.60223e10 | − | 3.81180e10i | −0.0770886 | − | 0.0445071i | ||||
\(963\) | −8.39422e8 | + | 1.45392e9i | −0.000976057 | + | 0.00169058i | ||||
\(964\) | 1.47125e12 | − | 8.49427e11i | 1.70364 | − | 0.983598i | ||||
\(965\) | 2.86783e11i | 0.330708i | ||||||||
\(966\) | −2.72495e10 | − | 4.47467e11i | −0.0312932 | − | 0.513870i | ||||
\(967\) | 1.49408e11 | 0.170871 | 0.0854357 | − | 0.996344i | \(-0.472772\pi\) | ||||
0.0854357 | + | 0.996344i | \(0.472772\pi\) | |||||||
\(968\) | 2.53247e12 | + | 4.38637e12i | 2.88432 | + | 4.99579i | ||||
\(969\) | −5.88313e10 | − | 3.39663e10i | −0.0667288 | − | 0.0385259i | ||||
\(970\) | 3.43887e11 | − | 5.95630e11i | 0.388444 | − | 0.672805i | ||||
\(971\) | −1.29764e12 | + | 7.49193e11i | −1.45975 | + | 0.842785i | −0.998998 | − | 0.0447457i | \(-0.985752\pi\) |
−0.460748 | + | 0.887531i | \(0.652419\pi\) | |||||||
\(972\) | − | 1.52881e11i | − | 0.171273i | ||||||
\(973\) | −1.40946e12 | − | 7.03197e11i | −1.57254 | − | 0.784559i | ||||
\(974\) | 2.09380e12 | 2.32648 | ||||||||
\(975\) | −1.52362e9 | − | 2.63899e9i | −0.00168600 | − | 0.00292024i | ||||
\(976\) | −5.53149e11 | − | 3.19361e11i | −0.609597 | − | 0.351951i | ||||
\(977\) | −5.45071e11 | + | 9.44092e11i | −0.598240 | + | 1.03618i | 0.394841 | + | 0.918749i | \(0.370800\pi\) |
−0.993081 | + | 0.117432i | \(0.962534\pi\) | |||||||
\(978\) | −1.63355e12 | + | 9.43131e11i | −1.78557 | + | 1.03090i | ||||
\(979\) | − | 1.08311e12i | − | 1.17908i | ||||||
\(980\) | 2.04984e12 | − | 1.54297e12i | 2.22237 | − | 1.67283i | ||||
\(981\) | 9.70926e10 | 0.104836 | ||||||||
\(982\) | 1.08009e12 | + | 1.87078e12i | 1.16149 | + | 2.01176i | ||||
\(983\) | −1.07564e12 | − | 6.21022e11i | −1.15200 | − | 0.665110i | −0.202629 | − | 0.979256i | \(-0.564948\pi\) |
−0.949375 | + | 0.314146i | \(0.898282\pi\) | |||||||
\(984\) | −1.29195e12 | + | 2.23773e12i | −1.37805 | + | 2.38686i | ||||
\(985\) | −1.64454e11 | + | 9.49478e10i | −0.174703 | + | 0.100865i | ||||
\(986\) | 8.06675e11i | 0.853475i | ||||||||
\(987\) | 1.12629e11 | − | 2.25750e11i | 0.118682 | − | 0.237881i | ||||
\(988\) | −3.06043e10 | −0.0321184 | ||||||||
\(989\) | −6.82414e10 | − | 1.18198e11i | −0.0713285 | − | 0.123545i | ||||
\(990\) | 9.26641e11 | + | 5.34997e11i | 0.964652 | + | 0.556942i | ||||
\(991\) | −4.36830e11 | + | 7.56612e11i | −0.452916 | + | 0.784474i | −0.998566 | − | 0.0535393i | \(-0.982950\pi\) |
0.545649 | + | 0.838014i | \(0.316283\pi\) | |||||||
\(992\) | 3.41492e12 | − | 1.97160e12i | 3.52641 | − | 2.03598i | ||||
\(993\) | − | 4.34245e11i | − | 0.446619i | ||||||
\(994\) | −7.86516e11 | + | 4.78966e10i | −0.805679 | + | 0.0490635i | ||||
\(995\) | −1.24775e12 | −1.27302 | ||||||||
\(996\) | −1.32727e12 | − | 2.29890e12i | −1.34872 | − | 2.33605i | ||||
\(997\) | 9.27060e11 | + | 5.35238e11i | 0.938268 | + | 0.541709i | 0.889417 | − | 0.457097i | \(-0.151111\pi\) |
0.0488512 | + | 0.998806i | \(0.484444\pi\) | |||||||
\(998\) | 1.71441e12 | − | 2.96944e12i | 1.72819 | − | 2.99331i | ||||
\(999\) | 1.12835e11 | − | 6.51456e10i | 0.113288 | − | 0.0654068i |
(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 | 21.9.f.b.10.6 | ✓ | 12 | |
3.2 | odd | 2 | 63.9.m.d.10.1 | 12 | |||
7.3 | odd | 6 | 147.9.d.b.97.2 | 12 | |||
7.4 | even | 3 | 147.9.d.b.97.1 | 12 | |||
7.5 | odd | 6 | inner | 21.9.f.b.19.6 | yes | 12 | |
21.5 | even | 6 | 63.9.m.d.19.1 | 12 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
21.9.f.b.10.6 | ✓ | 12 | 1.1 | even | 1 | trivial | |
21.9.f.b.19.6 | yes | 12 | 7.5 | odd | 6 | inner | |
63.9.m.d.10.1 | 12 | 3.2 | odd | 2 | |||
63.9.m.d.19.1 | 12 | 21.5 | even | 6 | |||
147.9.d.b.97.1 | 12 | 7.4 | even | 3 | |||
147.9.d.b.97.2 | 12 | 7.3 | odd | 6 |