Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [15,10,Mod(2,15)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(15, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([2, 1]))
N = Newforms(chi, 10, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("15.2");
S:= CuspForms(chi, 10);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 15 = 3 \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 10 \) |
Character orbit: | \([\chi]\) | \(=\) | 15.e (of order \(4\), 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: | \(7.72553754246\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(16\) over \(\Q(i)\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 2.13 | ||
Character | \(\chi\) | \(=\) | 15.2 |
Dual form | 15.10.e.a.8.13 |
$q$-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 \(\left(\mathbb{Z}/15\mathbb{Z}\right)^\times\).
\(n\) | \(7\) | \(11\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 20.3831 | − | 20.3831i | 0.900813 | − | 0.900813i | −0.0946933 | − | 0.995506i | \(-0.530187\pi\) |
0.995506 | + | 0.0946933i | \(0.0301870\pi\) | |||||||
\(3\) | 65.1534 | + | 124.250i | 0.464399 | + | 0.885626i | ||||
\(4\) | − | 318.940i | − | 0.622929i | ||||||
\(5\) | 840.534 | + | 1116.52i | 0.601437 | + | 0.798920i | ||||
\(6\) | 3860.62 | + | 1204.57i | 1.21612 | + | 0.379447i | ||||
\(7\) | 1024.24 | + | 1024.24i | 0.161235 | + | 0.161235i | 0.783114 | − | 0.621879i | \(-0.213630\pi\) |
−0.621879 | + | 0.783114i | \(0.713630\pi\) | |||||||
\(8\) | 3935.17 | + | 3935.17i | 0.339671 | + | 0.339671i | ||||
\(9\) | −11193.1 | + | 16190.6i | −0.568667 | + | 0.822568i | ||||
\(10\) | 39890.9 | + | 5625.54i | 1.26146 | + | 0.177895i | ||||
\(11\) | − | 82348.4i | − | 1.69585i | −0.530115 | − | 0.847926i | \(-0.677851\pi\) | ||
0.530115 | − | 0.847926i | \(-0.322149\pi\) | |||||||
\(12\) | 39628.2 | − | 20780.0i | 0.551682 | − | 0.289288i | ||||
\(13\) | 46183.3 | − | 46183.3i | 0.448476 | − | 0.448476i | −0.446371 | − | 0.894848i | \(-0.647284\pi\) |
0.894848 | + | 0.446371i | \(0.147284\pi\) | |||||||
\(14\) | 41754.1 | 0.290485 | ||||||||
\(15\) | −83964.4 | + | 177182.i | −0.428237 | + | 0.903666i | ||||
\(16\) | 323719. | 1.23489 | ||||||||
\(17\) | −283339. | + | 283339.i | −0.822785 | + | 0.822785i | −0.986507 | − | 0.163721i | \(-0.947650\pi\) |
0.163721 | + | 0.986507i | \(0.447650\pi\) | |||||||
\(18\) | 101865. | + | 558163.i | 0.228718 | + | 1.25324i | ||||
\(19\) | − | 448101.i | − | 0.788832i | −0.918932 | − | 0.394416i | \(-0.870947\pi\) | ||
0.918932 | − | 0.394416i | \(-0.129053\pi\) | |||||||
\(20\) | 356104. | − | 268080.i | 0.497670 | − | 0.374653i | ||||
\(21\) | −60528.7 | + | 193994.i | −0.0679164 | + | 0.217671i | ||||
\(22\) | −1.67851e6 | − | 1.67851e6i | −1.52765 | − | 1.52765i | ||||
\(23\) | −577002. | − | 577002.i | −0.429934 | − | 0.429934i | 0.458672 | − | 0.888606i | \(-0.348325\pi\) |
−0.888606 | + | 0.458672i | \(0.848325\pi\) | |||||||
\(24\) | −232554. | + | 745333.i | −0.143078 | + | 0.458564i | ||||
\(25\) | −540130. | + | 1.87695e6i | −0.276547 | + | 0.961000i | ||||
\(26\) | − | 1.88271e6i | − | 0.807987i | ||||||
\(27\) | −2.74095e6 | − | 335864.i | −0.992576 | − | 0.121626i | ||||
\(28\) | 326669. | − | 326669.i | 0.100438 | − | 0.100438i | ||||
\(29\) | −3.17522e6 | −0.833647 | −0.416823 | − | 0.908987i | \(-0.636857\pi\) | ||||
−0.416823 | + | 0.908987i | \(0.636857\pi\) | |||||||
\(30\) | 1.90005e6 | + | 5.32296e6i | 0.428273 | + | 1.19980i | ||||
\(31\) | 4.84504e6 | 0.942259 | 0.471129 | − | 0.882064i | \(-0.343846\pi\) | ||||
0.471129 | + | 0.882064i | \(0.343846\pi\) | |||||||
\(32\) | 4.58358e6 | − | 4.58358e6i | 0.772733 | − | 0.772733i | ||||
\(33\) | 1.02318e7 | − | 5.36528e6i | 1.50189 | − | 0.787552i | ||||
\(34\) | 1.15507e7i | 1.48235i | ||||||||
\(35\) | −282680. | + | 2.00449e6i | −0.0318411 | + | 0.225786i | ||||
\(36\) | 5.16382e6 | + | 3.56991e6i | 0.512401 | + | 0.354239i | ||||
\(37\) | −2.00195e6 | − | 2.00195e6i | −0.175608 | − | 0.175608i | 0.613830 | − | 0.789438i | \(-0.289628\pi\) |
−0.789438 | + | 0.613830i | \(0.789628\pi\) | |||||||
\(38\) | −9.13367e6 | − | 9.13367e6i | −0.710590 | − | 0.710590i | ||||
\(39\) | 8.74726e6 | + | 2.72927e6i | 0.605454 | + | 0.188910i | ||||
\(40\) | −1.08607e6 | + | 7.70135e6i | −0.0670792 | + | 0.475660i | ||||
\(41\) | − | 2.19158e7i | − | 1.21124i | −0.795755 | − | 0.605618i | \(-0.792926\pi\) | ||
0.795755 | − | 0.605618i | \(-0.207074\pi\) | |||||||
\(42\) | 2.72042e6 | + | 5.18795e6i | 0.134901 | + | 0.257261i | ||||
\(43\) | 5.07147e6 | − | 5.07147e6i | 0.226217 | − | 0.226217i | −0.584893 | − | 0.811110i | \(-0.698864\pi\) |
0.811110 | + | 0.584893i | \(0.198864\pi\) | |||||||
\(44\) | −2.62642e7 | −1.05640 | ||||||||
\(45\) | −2.74854e7 | + | 1.11142e6i | −0.999183 | + | 0.0404037i | ||||
\(46\) | −2.35222e7 | −0.774581 | ||||||||
\(47\) | 1.80519e7 | − | 1.80519e7i | 0.539614 | − | 0.539614i | −0.383802 | − | 0.923416i | \(-0.625385\pi\) |
0.923416 | + | 0.383802i | \(0.125385\pi\) | |||||||
\(48\) | 2.10914e7 | + | 4.02220e7i | 0.573481 | + | 1.09365i | ||||
\(49\) | − | 3.82555e7i | − | 0.948007i | ||||||
\(50\) | 2.72486e7 | + | 4.92676e7i | 0.616565 | + | 1.11480i | ||||
\(51\) | −5.36654e7 | − | 1.67443e7i | −1.11078 | − | 0.346579i | ||||
\(52\) | −1.47297e7 | − | 1.47297e7i | −0.279369 | − | 0.279369i | ||||
\(53\) | 2.88144e7 | + | 2.88144e7i | 0.501612 | + | 0.501612i | 0.911939 | − | 0.410327i | \(-0.134585\pi\) |
−0.410327 | + | 0.911939i | \(0.634585\pi\) | |||||||
\(54\) | −6.27149e7 | + | 4.90230e7i | −1.00369 | + | 0.784563i | ||||
\(55\) | 9.19440e7 | − | 6.92166e7i | 1.35485 | − | 1.01995i | ||||
\(56\) | 8.06107e6i | 0.109533i | ||||||||
\(57\) | 5.56765e7 | − | 2.91953e7i | 0.698610 | − | 0.366333i | ||||
\(58\) | −6.47207e7 | + | 6.47207e7i | −0.750960 | + | 0.750960i | ||||
\(59\) | −1.79216e8 | −1.92550 | −0.962750 | − | 0.270393i | \(-0.912846\pi\) | ||||
−0.962750 | + | 0.270393i | \(0.912846\pi\) | |||||||
\(60\) | 5.65102e7 | + | 2.67796e7i | 0.562920 | + | 0.266761i | ||||
\(61\) | −2.05711e7 | −0.190227 | −0.0951136 | − | 0.995466i | \(-0.530321\pi\) | ||||
−0.0951136 | + | 0.995466i | \(0.530321\pi\) | |||||||
\(62\) | 9.87569e7 | − | 9.87569e7i | 0.848799 | − | 0.848799i | ||||
\(63\) | −2.80473e7 | + | 5.11866e6i | −0.224315 | + | 0.0409377i | ||||
\(64\) | − | 2.11108e7i | − | 0.157288i | ||||||
\(65\) | 9.03834e7 | + | 1.27462e7i | 0.628027 | + | 0.0885665i | ||||
\(66\) | 9.91942e7 | − | 3.17916e8i | 0.643485 | − | 2.06236i | ||||
\(67\) | 1.55434e8 | + | 1.55434e8i | 0.942341 | + | 0.942341i | 0.998426 | − | 0.0560850i | \(-0.0178618\pi\) |
−0.0560850 | + | 0.998426i | \(0.517862\pi\) | |||||||
\(68\) | 9.03681e7 | + | 9.03681e7i | 0.512537 | + | 0.512537i | ||||
\(69\) | 3.40988e7 | − | 1.09286e8i | 0.181100 | − | 0.580422i | ||||
\(70\) | 3.50958e7 | + | 4.66195e7i | 0.174708 | + | 0.232074i | ||||
\(71\) | 3.49681e8i | 1.63309i | 0.577284 | + | 0.816543i | \(0.304112\pi\) | ||||
−0.577284 | + | 0.816543i | \(0.695888\pi\) | |||||||
\(72\) | −1.07759e8 | + | 1.96662e7i | −0.472562 | + | 0.0862429i | ||||
\(73\) | 5.01248e7 | − | 5.01248e7i | 0.206585 | − | 0.206585i | −0.596229 | − | 0.802814i | \(-0.703335\pi\) |
0.802814 | + | 0.596229i | \(0.203335\pi\) | |||||||
\(74\) | −8.16117e7 | −0.316381 | ||||||||
\(75\) | −2.68403e8 | + | 5.51788e7i | −0.979515 | + | 0.201371i | ||||
\(76\) | −1.42917e8 | −0.491386 | ||||||||
\(77\) | 8.43441e7 | − | 8.43441e7i | 0.273430 | − | 0.273430i | ||||
\(78\) | 2.33927e8 | − | 1.22665e8i | 0.715574 | − | 0.375228i | ||||
\(79\) | 5.64363e8i | 1.63018i | 0.579331 | + | 0.815092i | \(0.303314\pi\) | ||||
−0.579331 | + | 0.815092i | \(0.696686\pi\) | |||||||
\(80\) | 2.72096e8 | + | 3.61440e8i | 0.742708 | + | 0.986577i | ||||
\(81\) | −1.36851e8 | − | 3.62445e8i | −0.353236 | − | 0.935534i | ||||
\(82\) | −4.46710e8 | − | 4.46710e8i | −1.09110 | − | 1.09110i | ||||
\(83\) | −2.73321e8 | − | 2.73321e8i | −0.632152 | − | 0.632152i | 0.316455 | − | 0.948607i | \(-0.397507\pi\) |
−0.948607 | + | 0.316455i | \(0.897507\pi\) | |||||||
\(84\) | 6.18722e7 | + | 1.93050e7i | 0.135593 | + | 0.0423071i | ||||
\(85\) | −5.54512e8 | − | 7.81990e7i | −1.15219 | − | 0.162486i | ||||
\(86\) | − | 2.06744e8i | − | 0.407559i | ||||||
\(87\) | −2.06876e8 | − | 3.94520e8i | −0.387145 | − | 0.738299i | ||||
\(88\) | 3.24055e8 | − | 3.24055e8i | 0.576031 | − | 0.576031i | ||||
\(89\) | −2.28966e8 | −0.386826 | −0.193413 | − | 0.981117i | \(-0.561956\pi\) | ||||
−0.193413 | + | 0.981117i | \(0.561956\pi\) | |||||||
\(90\) | −5.37582e8 | + | 5.82890e8i | −0.863681 | + | 0.936474i | ||||
\(91\) | 9.46051e7 | 0.144620 | ||||||||
\(92\) | −1.84029e8 | + | 1.84029e8i | −0.267818 | + | 0.267818i | ||||
\(93\) | 3.15671e8 | + | 6.01996e8i | 0.437584 | + | 0.834489i | ||||
\(94\) | − | 7.35907e8i | − | 0.972183i | ||||||
\(95\) | 5.00316e8 | − | 3.76644e8i | 0.630214 | − | 0.474433i | ||||
\(96\) | 8.68144e8 | + | 2.70873e8i | 1.04321 | + | 0.325496i | ||||
\(97\) | 7.06282e8 | + | 7.06282e8i | 0.810037 | + | 0.810037i | 0.984639 | − | 0.174602i | \(-0.0558638\pi\) |
−0.174602 | + | 0.984639i | \(0.555864\pi\) | |||||||
\(98\) | −7.79765e8 | − | 7.79765e8i | −0.853977 | − | 0.853977i | ||||
\(99\) | 1.33327e9 | + | 9.21731e8i | 1.39495 | + | 0.964374i | ||||
\(100\) | 5.98635e8 | + | 1.72269e8i | 0.598635 | + | 0.172269i | ||||
\(101\) | 1.11479e9i | 1.06598i | 0.846122 | + | 0.532990i | \(0.178932\pi\) | ||||
−0.846122 | + | 0.532990i | \(0.821068\pi\) | |||||||
\(102\) | −1.43517e9 | + | 7.52564e8i | −1.31281 | + | 0.688403i | ||||
\(103\) | 2.48271e8 | − | 2.48271e8i | 0.217349 | − | 0.217349i | −0.590031 | − | 0.807380i | \(-0.700885\pi\) |
0.807380 | + | 0.590031i | \(0.200885\pi\) | |||||||
\(104\) | 3.63478e8 | 0.304669 | ||||||||
\(105\) | −2.67475e8 | + | 9.54764e7i | −0.214749 | + | 0.0766556i | ||||
\(106\) | 1.17465e9 | 0.903717 | ||||||||
\(107\) | 3.67462e8 | − | 3.67462e8i | 0.271010 | − | 0.271010i | −0.558497 | − | 0.829507i | \(-0.688622\pi\) |
0.829507 | + | 0.558497i | \(0.188622\pi\) | |||||||
\(108\) | −1.07120e8 | + | 8.74197e8i | −0.0757643 | + | 0.618304i | ||||
\(109\) | − | 6.88571e8i | − | 0.467229i | −0.972329 | − | 0.233614i | \(-0.924945\pi\) | ||
0.972329 | − | 0.233614i | \(-0.0750553\pi\) | |||||||
\(110\) | 4.63254e8 | − | 3.28495e9i | 0.301684 | − | 2.13925i | ||||
\(111\) | 1.18308e8 | − | 3.79176e8i | 0.0739709 | − | 0.237076i | ||||
\(112\) | 3.31564e8 | + | 3.31564e8i | 0.199107 | + | 0.199107i | ||||
\(113\) | −1.10051e9 | − | 1.10051e9i | −0.634951 | − | 0.634951i | 0.314354 | − | 0.949306i | \(-0.398212\pi\) |
−0.949306 | + | 0.314354i | \(0.898212\pi\) | |||||||
\(114\) | 5.39768e8 | − | 1.72995e9i | 0.299319 | − | 0.959314i | ||||
\(115\) | 1.59247e8 | − | 1.12923e9i | 0.0849047 | − | 0.602062i | ||||
\(116\) | 1.01270e9i | 0.519303i | ||||||||
\(117\) | 2.30803e8 | + | 1.26467e9i | 0.113869 | + | 0.623936i | ||||
\(118\) | −3.65298e9 | + | 3.65298e9i | −1.73452 | + | 1.73452i | ||||
\(119\) | −5.80412e8 | −0.265323 | ||||||||
\(120\) | −1.02765e9 | + | 3.66825e8i | −0.452409 | + | 0.161489i | ||||
\(121\) | −4.42331e9 | −1.87591 | ||||||||
\(122\) | −4.19302e8 | + | 4.19302e8i | −0.171359 | + | 0.171359i | ||||
\(123\) | 2.72303e9 | − | 1.42789e9i | 1.07270 | − | 0.562497i | ||||
\(124\) | − | 1.54528e9i | − | 0.586960i | ||||||
\(125\) | −2.54966e9 | + | 9.74575e8i | −0.934088 | + | 0.357043i | ||||
\(126\) | −4.67357e8 | + | 6.76025e8i | −0.165189 | + | 0.238943i | ||||
\(127\) | 1.77889e9 | + | 1.77889e9i | 0.606782 | + | 0.606782i | 0.942104 | − | 0.335322i | \(-0.108845\pi\) |
−0.335322 | + | 0.942104i | \(0.608845\pi\) | |||||||
\(128\) | 1.91649e9 | + | 1.91649e9i | 0.631046 | + | 0.631046i | ||||
\(129\) | 9.60553e8 | + | 2.99706e8i | 0.305399 | + | 0.0952887i | ||||
\(130\) | 2.10210e9 | − | 1.58249e9i | 0.645517 | − | 0.485953i | ||||
\(131\) | 1.76491e9i | 0.523604i | 0.965122 | + | 0.261802i | \(0.0843167\pi\) | ||||
−0.965122 | + | 0.261802i | \(0.915683\pi\) | |||||||
\(132\) | −1.71120e9 | − | 3.26332e9i | −0.490589 | − | 0.935571i | ||||
\(133\) | 4.58960e8 | − | 4.58960e8i | 0.127187 | − | 0.127187i | ||||
\(134\) | 6.33643e9 | 1.69775 | ||||||||
\(135\) | −1.92886e9 | − | 3.34264e9i | −0.499803 | − | 0.866139i | ||||
\(136\) | −2.22997e9 | −0.558952 | ||||||||
\(137\) | −2.64774e9 | + | 2.64774e9i | −0.642144 | + | 0.642144i | −0.951082 | − | 0.308938i | \(-0.900026\pi\) |
0.308938 | + | 0.951082i | \(0.400026\pi\) | |||||||
\(138\) | −1.53255e9 | − | 2.92263e9i | −0.359715 | − | 0.685989i | ||||
\(139\) | − | 6.49613e8i | − | 0.147601i | −0.997273 | − | 0.0738003i | \(-0.976487\pi\) | ||
0.997273 | − | 0.0738003i | \(-0.0235127\pi\) | |||||||
\(140\) | 6.39311e8 | + | 9.01577e7i | 0.140649 | + | 0.0198347i | ||||
\(141\) | 3.41909e9 | + | 1.06680e9i | 0.728492 | + | 0.227300i | ||||
\(142\) | 7.12757e9 | + | 7.12757e9i | 1.47111 | + | 1.47111i | ||||
\(143\) | −3.80312e9 | − | 3.80312e9i | −0.760550 | − | 0.760550i | ||||
\(144\) | −3.62340e9 | + | 5.24120e9i | −0.702240 | + | 1.01578i | ||||
\(145\) | −2.66888e9 | − | 3.54521e9i | −0.501386 | − | 0.666017i | ||||
\(146\) | − | 2.04339e9i | − | 0.372190i | ||||||
\(147\) | 4.75324e9 | − | 2.49248e9i | 0.839579 | − | 0.440254i | ||||
\(148\) | −6.38500e8 | + | 6.38500e8i | −0.109391 | + | 0.109391i | ||||
\(149\) | −8.65549e8 | −0.143865 | −0.0719323 | − | 0.997410i | \(-0.522917\pi\) | ||||
−0.0719323 | + | 0.997410i | \(0.522917\pi\) | |||||||
\(150\) | −4.34616e9 | + | 6.59559e9i | −0.700963 | + | 1.06376i | ||||
\(151\) | 8.86598e9 | 1.38781 | 0.693906 | − | 0.720066i | \(-0.255888\pi\) | ||||
0.693906 | + | 0.720066i | \(0.255888\pi\) | |||||||
\(152\) | 1.76335e9 | − | 1.76335e9i | 0.267943 | − | 0.267943i | ||||
\(153\) | −1.41600e9 | − | 7.75887e9i | −0.208906 | − | 1.14469i | ||||
\(154\) | − | 3.43838e9i | − | 0.492619i | ||||||
\(155\) | 4.07242e9 | + | 5.40961e9i | 0.566709 | + | 0.752789i | ||||
\(156\) | 8.70471e8 | − | 2.78985e9i | 0.117678 | − | 0.377155i | ||||
\(157\) | −9.86785e9 | − | 9.86785e9i | −1.29621 | − | 1.29621i | −0.930879 | − | 0.365328i | \(-0.880957\pi\) |
−0.365328 | − | 0.930879i | \(-0.619043\pi\) | |||||||
\(158\) | 1.15035e10 | + | 1.15035e10i | 1.46849 | + | 1.46849i | ||||
\(159\) | −1.70283e9 | + | 5.45754e9i | −0.211292 | + | 0.677188i | ||||
\(160\) | 8.97033e9 | + | 1.26503e9i | 1.08210 | + | 0.152602i | ||||
\(161\) | − | 1.18197e9i | − | 0.138641i | ||||||
\(162\) | −1.01772e10 | − | 4.59830e9i | −1.16094 | − | 0.524541i | ||||
\(163\) | 2.65413e9 | − | 2.65413e9i | 0.294495 | − | 0.294495i | −0.544358 | − | 0.838853i | \(-0.683227\pi\) |
0.838853 | + | 0.544358i | \(0.183227\pi\) | |||||||
\(164\) | −6.98980e9 | −0.754514 | ||||||||
\(165\) | 1.45906e10 | + | 6.91433e9i | 1.53248 | + | 0.726227i | ||||
\(166\) | −1.11422e10 | −1.13890 | ||||||||
\(167\) | −1.73810e8 | + | 1.73810e8i | −0.0172922 | + | 0.0172922i | −0.715700 | − | 0.698408i | \(-0.753892\pi\) |
0.698408 | + | 0.715700i | \(0.253892\pi\) | |||||||
\(168\) | −1.00159e9 | + | 5.25206e8i | −0.0970056 | + | 0.0508672i | ||||
\(169\) | 6.33871e9i | 0.597738i | ||||||||
\(170\) | −1.28966e10 | + | 9.70871e9i | −1.18428 | + | 0.891541i | ||||
\(171\) | 7.25502e9 | + | 5.01562e9i | 0.648868 | + | 0.448582i | ||||
\(172\) | −1.61749e9 | − | 1.61749e9i | −0.140917 | − | 0.140917i | ||||
\(173\) | 6.59575e9 | + | 6.59575e9i | 0.559831 | + | 0.559831i | 0.929259 | − | 0.369428i | \(-0.120447\pi\) |
−0.369428 | + | 0.929259i | \(0.620447\pi\) | |||||||
\(174\) | −1.22583e10 | − | 3.82476e9i | −1.01382 | − | 0.316324i | ||||
\(175\) | −2.47566e9 | + | 1.36922e9i | −0.199536 | + | 0.110358i | ||||
\(176\) | − | 2.66577e10i | − | 2.09419i | ||||||
\(177\) | −1.16766e10 | − | 2.22676e10i | −0.894201 | − | 1.70527i | ||||
\(178\) | −4.66703e9 | + | 4.66703e9i | −0.348458 | + | 0.348458i | ||||
\(179\) | −1.20765e10 | −0.879229 | −0.439615 | − | 0.898187i | \(-0.644885\pi\) | ||||
−0.439615 | + | 0.898187i | \(0.644885\pi\) | |||||||
\(180\) | 3.54476e8 | + | 8.76617e9i | 0.0251687 | + | 0.622420i | ||||
\(181\) | −1.34269e10 | −0.929869 | −0.464934 | − | 0.885345i | \(-0.653922\pi\) | ||||
−0.464934 | + | 0.885345i | \(0.653922\pi\) | |||||||
\(182\) | 1.92834e9 | − | 1.92834e9i | 0.130276 | − | 0.130276i | ||||
\(183\) | −1.34028e9 | − | 2.55595e9i | −0.0883414 | − | 0.168470i | ||||
\(184\) | − | 4.54120e9i | − | 0.292072i | ||||||
\(185\) | 5.52519e8 | − | 3.91793e9i | 0.0346797 | − | 0.245914i | ||||
\(186\) | 1.87049e10 | + | 5.83618e9i | 1.14590 | + | 0.357537i | ||||
\(187\) | 2.33325e10 | + | 2.33325e10i | 1.39532 | + | 1.39532i | ||||
\(188\) | −5.75747e9 | − | 5.75747e9i | −0.336141 | − | 0.336141i | ||||
\(189\) | −2.46337e9 | − | 3.15138e9i | −0.140427 | − | 0.179648i | ||||
\(190\) | 2.52081e9 | − | 1.78751e10i | 0.140329 | − | 0.995080i | ||||
\(191\) | − | 1.10522e10i | − | 0.600897i | −0.953798 | − | 0.300448i | \(-0.902864\pi\) | ||
0.953798 | − | 0.300448i | \(-0.0971363\pi\) | |||||||
\(192\) | 2.62302e9 | − | 1.37544e9i | 0.139298 | − | 0.0730444i | ||||
\(193\) | −1.47391e10 | + | 1.47391e10i | −0.764649 | + | 0.764649i | −0.977159 | − | 0.212510i | \(-0.931836\pi\) |
0.212510 | + | 0.977159i | \(0.431836\pi\) | |||||||
\(194\) | 2.87924e10 | 1.45938 | ||||||||
\(195\) | 4.30508e9 | + | 1.20606e10i | 0.213219 | + | 0.597327i | ||||
\(196\) | −1.22012e10 | −0.590541 | ||||||||
\(197\) | 2.65779e9 | − | 2.65779e9i | 0.125726 | − | 0.125726i | −0.641444 | − | 0.767170i | \(-0.721664\pi\) |
0.767170 | + | 0.641444i | \(0.221664\pi\) | |||||||
\(198\) | 4.59639e10 | − | 8.38844e9i | 2.12531 | − | 0.387871i | ||||
\(199\) | 6.95237e9i | 0.314263i | 0.987578 | + | 0.157132i | \(0.0502247\pi\) | ||||
−0.987578 | + | 0.157132i | \(0.949775\pi\) | |||||||
\(200\) | −9.51163e9 | + | 5.26062e9i | −0.420359 | + | 0.232489i | ||||
\(201\) | −9.18557e9 | + | 2.94396e10i | −0.396939 | + | 1.27218i | ||||
\(202\) | 2.27230e10 | + | 2.27230e10i | 0.960248 | + | 0.960248i | ||||
\(203\) | −3.25217e9 | − | 3.25217e9i | −0.134413 | − | 0.134413i | ||||
\(204\) | −5.34043e9 | + | 1.71160e10i | −0.215894 | + | 0.691937i | ||||
\(205\) | 2.44695e10 | − | 1.84209e10i | 0.967681 | − | 0.728483i | ||||
\(206\) | − | 1.01210e10i | − | 0.391582i | ||||||
\(207\) | 1.58004e10 | − | 2.88359e9i | 0.598140 | − | 0.109161i | ||||
\(208\) | 1.49504e10 | − | 1.49504e10i | 0.553818 | − | 0.553818i | ||||
\(209\) | −3.69004e10 | −1.33774 | ||||||||
\(210\) | −3.50586e9 | + | 7.39806e9i | −0.124396 | + | 0.262501i | ||||
\(211\) | 3.15506e8 | 0.0109581 | 0.00547907 | − | 0.999985i | \(-0.498256\pi\) | ||||
0.00547907 | + | 0.999985i | \(0.498256\pi\) | |||||||
\(212\) | 9.19004e9 | − | 9.19004e9i | 0.312468 | − | 0.312468i | ||||
\(213\) | −4.34478e10 | + | 2.27829e10i | −1.44630 | + | 0.758404i | ||||
\(214\) | − | 1.49800e10i | − | 0.488259i | ||||||
\(215\) | 9.92516e9 | + | 1.39968e9i | 0.316785 | + | 0.0446740i | ||||
\(216\) | −9.46440e9 | − | 1.21078e10i | −0.295836 | − | 0.378462i | ||||
\(217\) | 4.96247e9 | + | 4.96247e9i | 0.151925 | + | 0.151925i | ||||
\(218\) | −1.40352e10 | − | 1.40352e10i | −0.420886 | − | 0.420886i | ||||
\(219\) | 9.49380e9 | + | 2.96220e9i | 0.278896 | + | 0.0870193i | ||||
\(220\) | −2.20759e10 | − | 2.93246e10i | −0.635355 | − | 0.843975i | ||||
\(221\) | 2.61711e10i | 0.738000i | ||||||||
\(222\) | −5.31728e9 | − | 1.01402e10i | −0.146927 | − | 0.280195i | ||||
\(223\) | −1.62449e10 | + | 1.62449e10i | −0.439892 | + | 0.439892i | −0.891976 | − | 0.452083i | \(-0.850681\pi\) |
0.452083 | + | 0.891976i | \(0.350681\pi\) | |||||||
\(224\) | 9.38932e9 | 0.249183 | ||||||||
\(225\) | −2.43433e10 | − | 2.97539e10i | −0.633225 | − | 0.773967i | ||||
\(226\) | −4.48635e10 | −1.14395 | ||||||||
\(227\) | 1.08873e10 | − | 1.08873e10i | 0.272146 | − | 0.272146i | −0.557818 | − | 0.829964i | \(-0.688361\pi\) |
0.829964 | + | 0.557818i | \(0.188361\pi\) | |||||||
\(228\) | −9.31153e9 | − | 1.77574e10i | −0.228199 | − | 0.435184i | ||||
\(229\) | − | 4.83302e10i | − | 1.16134i | −0.814139 | − | 0.580670i | \(-0.802791\pi\) | ||
0.814139 | − | 0.580670i | \(-0.197209\pi\) | |||||||
\(230\) | −1.97712e10 | − | 2.62631e10i | −0.465862 | − | 0.618828i | ||||
\(231\) | 1.59751e10 | + | 4.98444e9i | 0.369138 | + | 0.115176i | ||||
\(232\) | −1.24950e10 | − | 1.24950e10i | −0.283165 | − | 0.283165i | ||||
\(233\) | 1.83510e10 | + | 1.83510e10i | 0.407904 | + | 0.407904i | 0.881007 | − | 0.473103i | \(-0.156866\pi\) |
−0.473103 | + | 0.881007i | \(0.656866\pi\) | |||||||
\(234\) | 3.04823e10 | + | 2.10733e10i | 0.664624 | + | 0.459475i | ||||
\(235\) | 3.53287e10 | + | 4.98217e9i | 0.755652 | + | 0.106565i | ||||
\(236\) | 5.71592e10i | 1.19945i | ||||||||
\(237\) | −7.01221e10 | + | 3.67702e10i | −1.44373 | + | 0.757056i | ||||
\(238\) | −1.18306e10 | + | 1.18306e10i | −0.239007 | + | 0.239007i | ||||
\(239\) | 4.50658e10 | 0.893422 | 0.446711 | − | 0.894678i | \(-0.352595\pi\) | ||||
0.446711 | + | 0.894678i | \(0.352595\pi\) | |||||||
\(240\) | −2.71808e10 | + | 5.73570e10i | −0.528825 | + | 1.11593i | ||||
\(241\) | 4.13402e10 | 0.789397 | 0.394698 | − | 0.918811i | \(-0.370849\pi\) | ||||
0.394698 | + | 0.918811i | \(0.370849\pi\) | |||||||
\(242\) | −9.01606e10 | + | 9.01606e10i | −1.68985 | + | 1.68985i | ||||
\(243\) | 3.61174e10 | − | 4.06183e10i | 0.664490 | − | 0.747297i | ||||
\(244\) | 6.56093e9i | 0.118498i | ||||||||
\(245\) | 4.27132e10 | − | 3.21550e10i | 0.757382 | − | 0.570166i | ||||
\(246\) | 2.63990e10 | − | 8.46084e10i | 0.459600 | − | 1.47301i | ||||
\(247\) | −2.06948e10 | − | 2.06948e10i | −0.353772 | − | 0.353772i | ||||
\(248\) | 1.90661e10 | + | 1.90661e10i | 0.320058 | + | 0.320058i | ||||
\(249\) | 1.61523e10 | − | 5.17679e10i | 0.266279 | − | 0.853421i | ||||
\(250\) | −3.21052e10 | + | 7.18348e10i | −0.519810 | + | 1.16307i | ||||
\(251\) | 7.04408e10i | 1.12019i | 0.828428 | + | 0.560096i | \(0.189236\pi\) | ||||
−0.828428 | + | 0.560096i | \(0.810764\pi\) | |||||||
\(252\) | 1.63254e9 | + | 8.94540e9i | 0.0255013 | + | 0.139732i | ||||
\(253\) | −4.75152e10 | + | 4.75152e10i | −0.729105 | + | 0.729105i | ||||
\(254\) | 7.25185e10 | 1.09319 | ||||||||
\(255\) | −2.64121e10 | − | 7.39929e10i | −0.391176 | − | 1.09587i | ||||
\(256\) | 8.89366e10 | 1.29420 | ||||||||
\(257\) | 7.47241e10 | − | 7.47241e10i | 1.06847 | − | 1.06847i | 0.0709916 | − | 0.997477i | \(-0.477384\pi\) |
0.997477 | − | 0.0709916i | \(-0.0226164\pi\) | |||||||
\(258\) | 2.56879e10 | − | 1.34701e10i | 0.360945 | − | 0.189270i | ||||
\(259\) | − | 4.10093e9i | − | 0.0566283i | ||||||
\(260\) | 4.06525e9 | − | 2.88268e10i | 0.0551706 | − | 0.391216i | ||||
\(261\) | 3.55404e10 | − | 5.14087e10i | 0.474067 | − | 0.685731i | ||||
\(262\) | 3.59744e10 | + | 3.59744e10i | 0.471669 | + | 0.471669i | ||||
\(263\) | −8.97191e10 | − | 8.97191e10i | −1.15634 | − | 1.15634i | −0.985257 | − | 0.171079i | \(-0.945275\pi\) |
−0.171079 | − | 0.985257i | \(-0.554725\pi\) | |||||||
\(264\) | 6.13770e10 | + | 1.91505e10i | 0.777657 | + | 0.242640i | ||||
\(265\) | −7.95250e9 | + | 5.63914e10i | −0.0990598 | + | 0.702436i | ||||
\(266\) | − | 1.87101e10i | − | 0.229144i | ||||||
\(267\) | −1.49179e10 | − | 2.84490e10i | −0.179642 | − | 0.342583i | ||||
\(268\) | 4.95739e10 | − | 4.95739e10i | 0.587011 | − | 0.587011i | ||||
\(269\) | −1.26755e11 | −1.47598 | −0.737988 | − | 0.674814i | \(-0.764224\pi\) | ||||
−0.737988 | + | 0.674814i | \(0.764224\pi\) | |||||||
\(270\) | −1.07449e11 | − | 2.88172e10i | −1.23046 | − | 0.330001i | ||||
\(271\) | 2.28677e10 | 0.257550 | 0.128775 | − | 0.991674i | \(-0.458896\pi\) | ||||
0.128775 | + | 0.991674i | \(0.458896\pi\) | |||||||
\(272\) | −9.17222e10 | + | 9.17222e10i | −1.01605 | + | 1.01605i | ||||
\(273\) | 6.16384e9 | + | 1.17547e10i | 0.0671614 | + | 0.128079i | ||||
\(274\) | 1.07938e11i | 1.15690i | ||||||||
\(275\) | 1.54564e11 | + | 4.44789e10i | 1.62971 | + | 0.468982i | ||||
\(276\) | −3.48557e10 | − | 1.08755e10i | −0.361562 | − | 0.112812i | ||||
\(277\) | −6.91666e10 | − | 6.91666e10i | −0.705891 | − | 0.705891i | 0.259778 | − | 0.965668i | \(-0.416351\pi\) |
−0.965668 | + | 0.259778i | \(0.916351\pi\) | |||||||
\(278\) | −1.32411e10 | − | 1.32411e10i | −0.132961 | − | 0.132961i | ||||
\(279\) | −5.42309e10 | + | 7.84442e10i | −0.535831 | + | 0.775072i | ||||
\(280\) | −9.00039e9 | + | 6.77560e9i | −0.0875084 | + | 0.0658775i | ||||
\(281\) | 1.08754e11i | 1.04056i | 0.853995 | + | 0.520282i | \(0.174173\pi\) | ||||
−0.853995 | + | 0.520282i | \(0.825827\pi\) | |||||||
\(282\) | 9.14364e10 | − | 4.79469e10i | 0.860990 | − | 0.451481i | ||||
\(283\) | 8.44004e10 | − | 8.44004e10i | 0.782178 | − | 0.782178i | −0.198020 | − | 0.980198i | \(-0.563451\pi\) |
0.980198 | + | 0.198020i | \(0.0634512\pi\) | |||||||
\(284\) | 1.11527e11 | 1.01730 | ||||||||
\(285\) | 7.93952e10 | + | 3.76245e10i | 0.712841 | + | 0.337807i | ||||
\(286\) | −1.55038e11 | −1.37023 | ||||||||
\(287\) | 2.24469e10 | − | 2.24469e10i | 0.195293 | − | 0.195293i | ||||
\(288\) | 2.29066e10 | + | 1.25515e11i | 0.196198 | + | 1.07505i | ||||
\(289\) | − | 4.19744e10i | − | 0.353952i | ||||||
\(290\) | −1.26662e11 | − | 1.78623e10i | −1.05161 | − | 0.148302i | ||||
\(291\) | −4.17387e10 | + | 1.33772e11i | −0.341209 | + | 1.09357i | ||||
\(292\) | −1.59868e10 | − | 1.59868e10i | −0.128688 | − | 0.128688i | ||||
\(293\) | −3.26512e10 | − | 3.26512e10i | −0.258818 | − | 0.258818i | 0.565755 | − | 0.824573i | \(-0.308585\pi\) |
−0.824573 | + | 0.565755i | \(0.808585\pi\) | |||||||
\(294\) | 4.60813e10 | − | 1.47690e11i | 0.359718 | − | 1.15289i | ||||
\(295\) | −1.50637e11 | − | 2.00099e11i | −1.15807 | − | 1.53832i | ||||
\(296\) | − | 1.57560e10i | − | 0.119298i | ||||||
\(297\) | −2.76578e10 | + | 2.25713e11i | −0.206260 | + | 1.68326i | ||||
\(298\) | −1.76426e10 | + | 1.76426e10i | −0.129595 | + | 0.129595i | ||||
\(299\) | −5.32957e10 | −0.385631 | ||||||||
\(300\) | 1.75987e10 | + | 8.56042e10i | 0.125440 | + | 0.610168i | ||||
\(301\) | 1.03888e10 | 0.0729481 | ||||||||
\(302\) | 1.80716e11 | − | 1.80716e11i | 1.25016 | − | 1.25016i | ||||
\(303\) | −1.38513e11 | + | 7.26327e10i | −0.944059 | + | 0.495040i | ||||
\(304\) | − | 1.45059e11i | − | 0.974119i | ||||||
\(305\) | −1.72907e10 | − | 2.29681e10i | −0.114410 | − | 0.151976i | ||||
\(306\) | −1.87012e11 | − | 1.29287e11i | −1.21934 | − | 0.842964i | ||||
\(307\) | 7.53263e10 | + | 7.53263e10i | 0.483976 | + | 0.483976i | 0.906399 | − | 0.422423i | \(-0.138820\pi\) |
−0.422423 | + | 0.906399i | \(0.638820\pi\) | |||||||
\(308\) | −2.69007e10 | − | 2.69007e10i | −0.170328 | − | 0.170328i | ||||
\(309\) | 4.70233e10 | + | 1.46719e10i | 0.293427 | + | 0.0915533i | ||||
\(310\) | 1.93273e11 | + | 2.72560e10i | 1.18862 | + | 0.167623i | ||||
\(311\) | − | 1.40125e11i | − | 0.849365i | −0.905342 | − | 0.424683i | \(-0.860386\pi\) | ||
0.905342 | − | 0.424683i | \(-0.139614\pi\) | |||||||
\(312\) | 2.36818e10 | + | 4.51621e10i | 0.141488 | + | 0.269822i | ||||
\(313\) | −2.82281e10 | + | 2.82281e10i | −0.166239 | + | 0.166239i | −0.785324 | − | 0.619085i | \(-0.787504\pi\) |
0.619085 | + | 0.785324i | \(0.287504\pi\) | |||||||
\(314\) | −4.02274e11 | −2.33528 | ||||||||
\(315\) | −2.92898e10 | − | 2.70131e10i | −0.167618 | − | 0.154589i | ||||
\(316\) | 1.79998e11 | 1.01549 | ||||||||
\(317\) | 1.23329e11 | − | 1.23329e11i | 0.685962 | − | 0.685962i | −0.275375 | − | 0.961337i | \(-0.588802\pi\) |
0.961337 | + | 0.275375i | \(0.0888020\pi\) | |||||||
\(318\) | 7.65325e10 | + | 1.45950e11i | 0.419685 | + | 0.800355i | ||||
\(319\) | 2.61474e11i | 1.41374i | ||||||||
\(320\) | 2.35708e10 | − | 1.77444e10i | 0.125660 | − | 0.0945988i | ||||
\(321\) | 6.95986e10 | + | 2.17157e10i | 0.365871 | + | 0.114157i | ||||
\(322\) | −2.40922e10 | − | 2.40922e10i | −0.124889 | − | 0.124889i | ||||
\(323\) | 1.26965e11 | + | 1.26965e11i | 0.649039 | + | 0.649039i | ||||
\(324\) | −1.15598e11 | + | 4.36472e10i | −0.582771 | + | 0.220041i | ||||
\(325\) | 6.17389e10 | + | 1.11629e11i | 0.306961 | + | 0.555011i | ||||
\(326\) | − | 1.08199e11i | − | 0.530571i | ||||||
\(327\) | 8.55548e10 | − | 4.48627e10i | 0.413790 | − | 0.216981i | ||||
\(328\) | 8.62421e10 | − | 8.62421e10i | 0.411422 | − | 0.411422i | ||||
\(329\) | 3.69788e10 | 0.174009 | ||||||||
\(330\) | 4.38337e11 | − | 1.56466e11i | 2.03468 | − | 0.726287i | ||||
\(331\) | −1.92628e11 | −0.882052 | −0.441026 | − | 0.897494i | \(-0.645385\pi\) | ||||
−0.441026 | + | 0.897494i | \(0.645385\pi\) | |||||||
\(332\) | −8.71729e10 | + | 8.71729e10i | −0.393786 | + | 0.393786i | ||||
\(333\) | 5.48207e10 | − | 1.00048e10i | 0.244312 | − | 0.0445872i | ||||
\(334\) | 7.08556e9i | 0.0311541i | ||||||||
\(335\) | −4.28982e10 | + | 3.04193e11i | −0.186096 | + | 1.31961i | ||||
\(336\) | −1.95943e10 | + | 6.27993e10i | −0.0838691 | + | 0.268799i | ||||
\(337\) | −5.09282e10 | − | 5.09282e10i | −0.215092 | − | 0.215092i | 0.591335 | − | 0.806426i | \(-0.298601\pi\) |
−0.806426 | + | 0.591335i | \(0.798601\pi\) | |||||||
\(338\) | 1.29202e11 | + | 1.29202e11i | 0.538450 | + | 0.538450i | ||||
\(339\) | 6.50362e10 | − | 2.08440e11i | 0.267458 | − | 0.857200i | ||||
\(340\) | −2.49408e10 | + | 1.76856e11i | −0.101217 | + | 0.717735i | ||||
\(341\) | − | 3.98982e11i | − | 1.59793i | ||||||
\(342\) | 2.50113e11 | − | 4.56459e10i | 0.988598 | − | 0.180420i | ||||
\(343\) | 8.05142e10 | − | 8.05142e10i | 0.314086 | − | 0.314086i | ||||
\(344\) | 3.99141e10 | 0.153679 | ||||||||
\(345\) | 1.50682e11 | − | 5.37865e10i | 0.572631 | − | 0.204403i | ||||
\(346\) | 2.68883e11 | 1.00861 | ||||||||
\(347\) | −1.56116e9 | + | 1.56116e9i | −0.00578048 | + | 0.00578048i | −0.709991 | − | 0.704211i | \(-0.751301\pi\) |
0.704211 | + | 0.709991i | \(0.251301\pi\) | |||||||
\(348\) | −1.25828e11 | + | 6.59810e10i | −0.459908 | + | 0.241164i | ||||
\(349\) | 2.50276e11i | 0.903037i | 0.892262 | + | 0.451518i | \(0.149117\pi\) | ||||
−0.892262 | + | 0.451518i | \(0.850883\pi\) | |||||||
\(350\) | −2.25527e10 | + | 7.83706e10i | −0.0803326 | + | 0.279156i | ||||
\(351\) | −1.42097e11 | + | 1.11075e11i | −0.499693 | + | 0.390601i | ||||
\(352\) | −3.77450e11 | − | 3.77450e11i | −1.31044 | − | 1.31044i | ||||
\(353\) | 1.25732e11 | + | 1.25732e11i | 0.430981 | + | 0.430981i | 0.888962 | − | 0.457981i | \(-0.151427\pi\) |
−0.457981 | + | 0.888962i | \(0.651427\pi\) | |||||||
\(354\) | −6.91886e11 | − | 2.15878e11i | −2.34164 | − | 0.730624i | ||||
\(355\) | −3.90427e11 | + | 2.93919e11i | −1.30471 | + | 0.982199i | ||||
\(356\) | 7.30263e10i | 0.240965i | ||||||||
\(357\) | −3.78158e10 | − | 7.21161e10i | −0.123216 | − | 0.234977i | ||||
\(358\) | −2.46156e11 | + | 2.46156e11i | −0.792021 | + | 0.792021i | ||||
\(359\) | −8.80376e10 | −0.279733 | −0.139866 | − | 0.990170i | \(-0.544667\pi\) | ||||
−0.139866 | + | 0.990170i | \(0.544667\pi\) | |||||||
\(360\) | −1.12533e11 | − | 1.03786e11i | −0.353117 | − | 0.325669i | ||||
\(361\) | 1.21893e11 | 0.377744 | ||||||||
\(362\) | −2.73681e11 | + | 2.73681e11i | −0.837638 | + | 0.837638i | ||||
\(363\) | −2.88194e11 | − | 5.49595e11i | −0.871173 | − | 1.66136i | ||||
\(364\) | − | 3.01733e10i | − | 0.0900879i | ||||||
\(365\) | 9.80972e10 | + | 1.38340e10i | 0.289293 | + | 0.0407971i | ||||
\(366\) | −7.94172e10 | − | 2.47793e10i | −0.231339 | − | 0.0721811i | ||||
\(367\) | −1.89632e11 | − | 1.89632e11i | −0.545649 | − | 0.545649i | 0.379530 | − | 0.925179i | \(-0.376086\pi\) |
−0.925179 | + | 0.379530i | \(0.876086\pi\) | |||||||
\(368\) | −1.86786e11 | − | 1.86786e11i | −0.530921 | − | 0.530921i | ||||
\(369\) | 3.54829e11 | + | 2.45304e11i | 0.996325 | + | 0.688790i | ||||
\(370\) | −6.85974e10 | − | 9.11215e10i | −0.190283 | − | 0.252763i | ||||
\(371\) | 5.90254e10i | 0.161754i | ||||||||
\(372\) | 1.92000e11 | − | 1.00680e11i | 0.519827 | − | 0.272584i | ||||
\(373\) | 4.61071e11 | − | 4.61071e11i | 1.23333 | − | 1.23333i | 0.270648 | − | 0.962678i | \(-0.412762\pi\) |
0.962678 | − | 0.270648i | \(-0.0872381\pi\) | |||||||
\(374\) | 9.51177e11 | 2.51385 | ||||||||
\(375\) | −2.87210e11 | − | 2.53299e11i | −0.749996 | − | 0.661442i | ||||
\(376\) | 1.42075e11 | 0.366582 | ||||||||
\(377\) | −1.46642e11 | + | 1.46642e11i | −0.373871 | + | 0.373871i | ||||
\(378\) | −1.14446e11 | − | 1.40237e10i | −0.288328 | − | 0.0353305i | ||||
\(379\) | 4.62185e10i | 0.115064i | 0.998344 | + | 0.0575320i | \(0.0183231\pi\) | ||||
−0.998344 | + | 0.0575320i | \(0.981677\pi\) | |||||||
\(380\) | −1.20127e11 | − | 1.59570e11i | −0.295538 | − | 0.392578i | ||||
\(381\) | −1.05126e11 | + | 3.36928e11i | −0.255593 | + | 0.819171i | ||||
\(382\) | −2.25279e11 | − | 2.25279e11i | −0.541296 | − | 0.541296i | ||||
\(383\) | 2.07140e11 | + | 2.07140e11i | 0.491893 | + | 0.491893i | 0.908902 | − | 0.417009i | \(-0.136922\pi\) |
−0.417009 | + | 0.908902i | \(0.636922\pi\) | |||||||
\(384\) | −1.13258e11 | + | 3.62989e11i | −0.265813 | + | 0.851928i | ||||
\(385\) | 1.65066e11 | + | 2.32782e10i | 0.382900 | + | 0.0539978i | ||||
\(386\) | 6.00855e11i | 1.37761i | ||||||||
\(387\) | 2.53449e10 | + | 1.38875e11i | 0.0574369 | + | 0.314721i | ||||
\(388\) | 2.25261e11 | − | 2.25261e11i | 0.504596 | − | 0.504596i | ||||
\(389\) | −2.20485e11 | −0.488209 | −0.244104 | − | 0.969749i | \(-0.578494\pi\) | ||||
−0.244104 | + | 0.969749i | \(0.578494\pi\) | |||||||
\(390\) | 3.33582e11 | + | 1.58081e11i | 0.730150 | + | 0.346010i | ||||
\(391\) | 3.26975e11 | 0.707487 | ||||||||
\(392\) | 1.50542e11 | − | 1.50542e11i | 0.322010 | − | 0.322010i | ||||
\(393\) | −2.19290e11 | + | 1.14990e11i | −0.463717 | + | 0.243161i | ||||
\(394\) | − | 1.08348e11i | − | 0.226510i | ||||||
\(395\) | −6.30125e11 | + | 4.74366e11i | −1.30239 | + | 0.980453i | ||||
\(396\) | 2.93976e11 | − | 4.25233e11i | 0.600737 | − | 0.868957i | ||||
\(397\) | 4.28620e11 | + | 4.28620e11i | 0.865995 | + | 0.865995i | 0.992026 | − | 0.126031i | \(-0.0402239\pi\) |
−0.126031 | + | 0.992026i | \(0.540224\pi\) | |||||||
\(398\) | 1.41711e11 | + | 1.41711e11i | 0.283093 | + | 0.283093i | ||||
\(399\) | 8.69286e10 | + | 2.71229e10i | 0.171706 | + | 0.0535746i | ||||
\(400\) | −1.74850e11 | + | 6.07605e11i | −0.341504 | + | 1.18673i | ||||
\(401\) | − | 4.37345e11i | − | 0.844645i | −0.906446 | − | 0.422323i | \(-0.861215\pi\) | ||
0.906446 | − | 0.422323i | \(-0.138785\pi\) | |||||||
\(402\) | 4.12840e11 | + | 7.87300e11i | 0.788432 | + | 1.50357i | ||||
\(403\) | 2.23760e11 | − | 2.23760e11i | 0.422581 | − | 0.422581i | ||||
\(404\) | 3.55552e11 | 0.664029 | ||||||||
\(405\) | 2.89651e11 | − | 4.57445e11i | 0.534967 | − | 0.844873i | ||||
\(406\) | −1.32578e11 | −0.242162 | ||||||||
\(407\) | −1.64857e11 | + | 1.64857e11i | −0.297806 | + | 0.297806i | ||||
\(408\) | −1.45290e11 | − | 2.77074e11i | −0.259577 | − | 0.495023i | ||||
\(409\) | − | 3.62658e11i | − | 0.640829i | −0.947278 | − | 0.320414i | \(-0.896178\pi\) | ||
0.947278 | − | 0.320414i | \(-0.103822\pi\) | |||||||
\(410\) | 1.23288e11 | − | 8.74239e11i | 0.215473 | − | 1.52793i | ||||
\(411\) | −5.01490e11 | − | 1.56472e11i | −0.866911 | − | 0.270488i | ||||
\(412\) | −7.91834e10 | − | 7.91834e10i | −0.135393 | − | 0.135393i | ||||
\(413\) | −1.83560e11 | − | 1.83560e11i | −0.310457 | − | 0.310457i | ||||
\(414\) | 2.63285e11 | − | 3.80838e11i | 0.440478 | − | 0.637146i | ||||
\(415\) | 7.54341e10 | − | 5.34905e11i | 0.124839 | − | 0.885239i | ||||
\(416\) | − | 4.23369e11i | − | 0.693105i | ||||||
\(417\) | 8.07143e10 | − | 4.23245e10i | 0.130719 | − | 0.0685456i | ||||
\(418\) | −7.52143e11 | + | 7.52143e11i | −1.20506 | + | 1.20506i | ||||
\(419\) | 9.88666e10 | 0.156706 | 0.0783531 | − | 0.996926i | \(-0.475034\pi\) | ||||
0.0783531 | + | 0.996926i | \(0.475034\pi\) | |||||||
\(420\) | 3.04512e10 | + | 8.53084e10i | 0.0477510 | + | 0.133773i | ||||
\(421\) | 3.49968e11 | 0.542949 | 0.271475 | − | 0.962446i | \(-0.412489\pi\) | ||||
0.271475 | + | 0.962446i | \(0.412489\pi\) | |||||||
\(422\) | 6.43099e9 | − | 6.43099e9i | 0.00987124 | − | 0.00987124i | ||||
\(423\) | 9.02152e10 | + | 4.94328e11i | 0.137009 | + | 0.750730i | ||||
\(424\) | 2.26779e11i | 0.340766i | ||||||||
\(425\) | −3.78775e11 | − | 6.84855e11i | −0.563159 | − | 1.01824i | ||||
\(426\) | −4.21214e11 | + | 1.34999e12i | −0.619669 | + | 1.98603i | ||||
\(427\) | −2.10696e10 | − | 2.10696e10i | −0.0306712 | − | 0.0306712i | ||||
\(428\) | −1.17198e11 | − | 1.17198e11i | −0.168820 | − | 0.168820i | ||||
\(429\) | 2.24751e11 | − | 7.20323e11i | 0.320364 | − | 1.02676i | ||||
\(430\) | 2.30835e11 | − | 1.73776e11i | 0.325607 | − | 0.245121i | ||||
\(431\) | 3.02202e11i | 0.421841i | 0.977503 | + | 0.210921i | \(0.0676462\pi\) | ||||
−0.977503 | + | 0.210921i | \(0.932354\pi\) | |||||||
\(432\) | −8.87296e11 | − | 1.08725e11i | −1.22572 | − | 0.150194i | ||||
\(433\) | −7.76050e11 | + | 7.76050e11i | −1.06095 | + | 1.06095i | −0.0629306 | + | 0.998018i | \(0.520045\pi\) |
−0.998018 | + | 0.0629306i | \(0.979955\pi\) | |||||||
\(434\) | 2.02301e11 | 0.273712 | ||||||||
\(435\) | 2.66605e11 | − | 5.62590e11i | 0.356999 | − | 0.753339i | ||||
\(436\) | −2.19612e11 | −0.291050 | ||||||||
\(437\) | −2.58555e11 | + | 2.58555e11i | −0.339146 | + | 0.339146i | ||||
\(438\) | 2.53892e11 | − | 1.33134e11i | 0.329621 | − | 0.172845i | ||||
\(439\) | − | 3.93238e11i | − | 0.505318i | −0.967555 | − | 0.252659i | \(-0.918695\pi\) | ||
0.967555 | − | 0.252659i | \(-0.0813050\pi\) | |||||||
\(440\) | 6.34194e11 | + | 8.94361e10i | 0.806650 | + | 0.113756i | ||||
\(441\) | 6.19380e11 | + | 4.28196e11i | 0.779800 | + | 0.539100i | ||||
\(442\) | 5.33447e11 | + | 5.33447e11i | 0.664800 | + | 0.664800i | ||||
\(443\) | 2.73298e10 | + | 2.73298e10i | 0.0337148 | + | 0.0337148i | 0.723763 | − | 0.690048i | \(-0.242411\pi\) |
−0.690048 | + | 0.723763i | \(0.742411\pi\) | |||||||
\(444\) | −1.20934e11 | − | 3.77331e10i | −0.147681 | − | 0.0460786i | ||||
\(445\) | −1.92454e11 | − | 2.55646e11i | −0.232652 | − | 0.309043i | ||||
\(446\) | 6.62244e11i | 0.792521i | ||||||||
\(447\) | −5.63935e10 | − | 1.07544e11i | −0.0668106 | − | 0.127410i | ||||
\(448\) | 2.16224e10 | − | 2.16224e10i | 0.0253603 | − | 0.0253603i | ||||
\(449\) | −1.92379e11 | −0.223382 | −0.111691 | − | 0.993743i | \(-0.535627\pi\) | ||||
−0.111691 | + | 0.993743i | \(0.535627\pi\) | |||||||
\(450\) | −1.10267e12 | − | 1.10285e11i | −1.26762 | − | 0.126782i | ||||
\(451\) | −1.80473e12 | −2.05408 | ||||||||
\(452\) | −3.50996e11 | + | 3.50996e11i | −0.395529 | + | 0.395529i | ||||
\(453\) | 5.77649e11 | + | 1.10160e12i | 0.644499 | + | 1.22908i | ||||
\(454\) | − | 4.43832e11i | − | 0.490306i | ||||||
\(455\) | 7.95188e10 | + | 1.05629e11i | 0.0869798 | + | 0.115540i | ||||
\(456\) | 3.33984e11 | + | 1.04208e11i | 0.361730 | + | 0.112865i | ||||
\(457\) | 6.72795e11 | + | 6.72795e11i | 0.721539 | + | 0.721539i | 0.968919 | − | 0.247380i | \(-0.0795696\pi\) |
−0.247380 | + | 0.968919i | \(0.579570\pi\) | |||||||
\(458\) | −9.85119e11 | − | 9.85119e11i | −1.04615 | − | 1.04615i | ||||
\(459\) | 8.71781e11 | − | 6.81455e11i | 0.916749 | − | 0.716605i | ||||
\(460\) | −3.60155e11 | − | 5.07903e10i | −0.375042 | − | 0.0528896i | ||||
\(461\) | − | 2.96575e11i | − | 0.305830i | −0.988239 | − | 0.152915i | \(-0.951134\pi\) | ||
0.988239 | − | 0.152915i | \(-0.0488661\pi\) | |||||||
\(462\) | 4.27219e11 | − | 2.24022e11i | 0.436276 | − | 0.228772i | ||||
\(463\) | 2.47116e11 | − | 2.47116e11i | 0.249911 | − | 0.249911i | −0.571023 | − | 0.820934i | \(-0.693453\pi\) |
0.820934 | + | 0.571023i | \(0.193453\pi\) | |||||||
\(464\) | −1.02788e12 | −1.02946 | ||||||||
\(465\) | −4.06811e11 | + | 8.58453e11i | −0.403510 | + | 0.851487i | ||||
\(466\) | 7.48100e11 | 0.734891 | ||||||||
\(467\) | 9.82524e11 | − | 9.82524e11i | 0.955911 | − | 0.955911i | −0.0431575 | − | 0.999068i | \(-0.513742\pi\) |
0.999068 | + | 0.0431575i | \(0.0137417\pi\) | |||||||
\(468\) | 4.03352e11 | − | 7.36121e10i | 0.388668 | − | 0.0709321i | ||||
\(469\) | 3.18401e11i | 0.303876i | ||||||||
\(470\) | 8.21659e11 | − | 6.18555e11i | 0.776696 | − | 0.584707i | ||||
\(471\) | 5.83155e11 | − | 1.86900e12i | 0.545997 | − | 1.74991i | ||||
\(472\) | −7.05246e11 | − | 7.05246e11i | −0.654036 | − | 0.654036i | ||||
\(473\) | −4.17627e11 | − | 4.17627e11i | −0.383631 | − | 0.383631i | ||||
\(474\) | −6.79814e11 | + | 2.17879e12i | −0.618568 | + | 1.98250i | ||||
\(475\) | 8.41064e11 | + | 2.42033e11i | 0.758068 | + | 0.218149i | ||||
\(476\) | 1.85116e11i | 0.165277i | ||||||||
\(477\) | −7.89043e11 | + | 1.44001e11i | −0.697860 | + | 0.127360i | ||||
\(478\) | 9.18579e11 | − | 9.18579e11i | 0.804806 | − | 0.804806i | ||||
\(479\) | −5.76293e10 | −0.0500188 | −0.0250094 | − | 0.999687i | \(-0.507962\pi\) | ||||
−0.0250094 | + | 0.999687i | \(0.507962\pi\) | |||||||
\(480\) | 4.27268e11 | + | 1.19698e12i | 0.367380 | + | 1.02921i | ||||
\(481\) | −1.84913e11 | −0.157512 | ||||||||
\(482\) | 8.42639e11 | − | 8.42639e11i | 0.711099 | − | 0.711099i | ||||
\(483\) | 1.46860e11 | − | 7.70095e10i | 0.122784 | − | 0.0643846i | ||||
\(484\) | 1.41077e12i | 1.16856i | ||||||||
\(485\) | −1.94927e11 | + | 1.38223e12i | −0.159969 | + | 1.13434i | ||||
\(486\) | −9.17405e10 | − | 1.56411e12i | −0.0745929 | − | 1.27176i | ||||
\(487\) | −2.33381e11 | − | 2.33381e11i | −0.188012 | − | 0.188012i | 0.606824 | − | 0.794836i | \(-0.292443\pi\) |
−0.794836 | + | 0.606824i | \(0.792443\pi\) | |||||||
\(488\) | −8.09506e10 | − | 8.09506e10i | −0.0646146 | − | 0.0646146i | ||||
\(489\) | 5.02702e11 | + | 1.56850e11i | 0.397576 | + | 0.124049i | ||||
\(490\) | 2.15208e11 | − | 1.52605e12i | 0.168646 | − | 1.19587i | ||||
\(491\) | 1.81080e11i | 0.140606i | 0.997526 | + | 0.0703031i | \(0.0223966\pi\) | ||||
−0.997526 | + | 0.0703031i | \(0.977603\pi\) | |||||||
\(492\) | −4.55409e11 | − | 8.68482e11i | −0.350396 | − | 0.668217i | ||||
\(493\) | 8.99663e11 | − | 8.99663e11i | 0.685913 | − | 0.685913i | ||||
\(494\) | −8.43645e11 | −0.637366 | ||||||||
\(495\) | 9.15236e10 | + | 2.26338e12i | 0.0685188 | + | 1.69447i | ||||
\(496\) | 1.56843e12 | 1.16358 | ||||||||
\(497\) | −3.58155e11 | + | 3.58155e11i | −0.263310 | + | 0.263310i | ||||
\(498\) | −7.25955e11 | − | 1.38442e12i | −0.528905 | − | 1.00864i | ||||
\(499\) | 1.03433e12i | 0.746808i | 0.927669 | + | 0.373404i | \(0.121809\pi\) | ||||
−0.927669 | + | 0.373404i | \(0.878191\pi\) | |||||||
\(500\) | 3.10830e11 | + | 8.13189e11i | 0.222412 | + | 0.581870i | ||||
\(501\) | −3.29202e10 | − | 1.02715e10i | −0.0233449 | − | 0.00728394i | ||||
\(502\) | 1.43580e12 | + | 1.43580e12i | 1.00908 | + | 1.00908i | ||||
\(503\) | 1.98943e12 | + | 1.98943e12i | 1.38571 | + | 1.38571i | 0.834098 | + | 0.551617i | \(0.185989\pi\) |
0.551617 | + | 0.834098i | \(0.314011\pi\) | |||||||
\(504\) | −1.30514e11 | − | 9.02281e10i | −0.0900987 | − | 0.0622880i | ||||
\(505\) | −1.24470e12 | + | 9.37023e11i | −0.851632 | + | 0.641120i | ||||
\(506\) | 1.93701e12i | 1.31357i | ||||||||
\(507\) | −7.87584e11 | + | 4.12989e11i | −0.529372 | + | 0.277589i | ||||
\(508\) | 5.67359e11 | − | 5.67359e11i | 0.377982 | − | 0.377982i | ||||
\(509\) | −2.16622e10 | −0.0143045 | −0.00715224 | − | 0.999974i | \(-0.502277\pi\) | ||||
−0.00715224 | + | 0.999974i | \(0.502277\pi\) | |||||||
\(510\) | −2.04656e12 | − | 9.69844e11i | −1.33955 | − | 0.634799i | ||||
\(511\) | 1.02679e11 | 0.0666175 | ||||||||
\(512\) | 8.31559e11 | − | 8.31559e11i | 0.534784 | − | 0.534784i | ||||
\(513\) | −1.50501e11 | + | 1.22822e12i | −0.0959424 | + | 0.782975i | ||||
\(514\) | − | 3.04621e12i | − | 1.92498i | ||||||
\(515\) | 4.85881e11 | + | 6.85205e10i | 0.304367 | + | 0.0429228i | ||||
\(516\) | 9.55880e10 | − | 3.06358e11i | 0.0593581 | − | 0.190242i | ||||
\(517\) | −1.48655e12 | − | 1.48655e12i | −0.915105 | − | 0.915105i | ||||
\(518\) | −8.35896e10 | − | 8.35896e10i | −0.0510115 | − | 0.0510115i | ||||
\(519\) | −3.89785e11 | + | 1.24926e12i | −0.235816 | + | 0.755786i | ||||
\(520\) | 3.05515e11 | + | 4.05832e11i | 0.183239 | + | 0.243406i | ||||
\(521\) | − | 2.17277e12i | − | 1.29194i | −0.763361 | − | 0.645972i | \(-0.776452\pi\) | ||
0.763361 | − | 0.645972i | \(-0.223548\pi\) | |||||||
\(522\) | −3.23444e11 | − | 1.77229e12i | −0.190670 | − | 1.04476i | ||||
\(523\) | −1.78674e12 | + | 1.78674e12i | −1.04425 | + | 1.04425i | −0.0452735 | + | 0.998975i | \(0.514416\pi\) |
−0.998975 | + | 0.0452735i | \(0.985584\pi\) | |||||||
\(524\) | 5.62901e11 | 0.326168 | ||||||||
\(525\) | −3.31424e11 | − | 2.18391e11i | −0.190400 | − | 0.125464i | ||||
\(526\) | −3.65750e12 | −2.08329 | ||||||||
\(527\) | −1.37279e12 | + | 1.37279e12i | −0.775277 | + | 0.775277i | ||||
\(528\) | 3.31222e12 | − | 1.73684e12i | 1.85467 | − | 0.972539i | ||||
\(529\) | − | 1.13529e12i | − | 0.630313i | ||||||
\(530\) | 9.87334e11 | + | 1.31153e12i | 0.543529 | + | 0.721998i | ||||
\(531\) | 2.00598e12 | − | 2.90162e12i | 1.09497 | − | 1.58385i | ||||
\(532\) | −1.46381e11 | − | 1.46381e11i | −0.0792285 | − | 0.0792285i | ||||
\(533\) | −1.01214e12 | − | 1.01214e12i | −0.543211 | − | 0.543211i | ||||
\(534\) | −8.83951e11 | − | 2.75805e11i | −0.470427 | − | 0.146780i | ||||
\(535\) | 7.19145e11 | + | 1.01416e11i | 0.379511 | + | 0.0535199i | ||||
\(536\) | 1.22331e12i | 0.640171i | ||||||||
\(537\) | −7.86825e11 | − | 1.50050e12i | −0.408313 | − | 0.778668i | ||||
\(538\) | −2.58365e12 | + | 2.58365e12i | −1.32958 | + | 1.32958i | ||||
\(539\) | −3.15028e12 | −1.60768 | ||||||||
\(540\) | −1.06610e12 | + | 6.15189e11i | −0.539543 | + | 0.311341i | ||||
\(541\) | −1.30087e12 | −0.652897 | −0.326449 | − | 0.945215i | \(-0.605852\pi\) | ||||
−0.326449 | + | 0.945215i | \(0.605852\pi\) | |||||||
\(542\) | 4.66114e11 | − | 4.66114e11i | 0.232004 | − | 0.232004i | ||||
\(543\) | −8.74807e11 | − | 1.66829e12i | −0.431830 | − | 0.823516i | ||||
\(544\) | 2.59741e12i | 1.27159i | ||||||||
\(545\) | 7.68806e11 | − | 5.78767e11i | 0.373278 | − | 0.281009i | ||||
\(546\) | 3.65234e11 | + | 1.13958e11i | 0.175875 | + | 0.0548755i | ||||
\(547\) | 9.16679e11 | + | 9.16679e11i | 0.437798 | + | 0.437798i | 0.891270 | − | 0.453472i | \(-0.149815\pi\) |
−0.453472 | + | 0.891270i | \(0.649815\pi\) | |||||||
\(548\) | 8.44468e11 | + | 8.44468e11i | 0.400010 | + | 0.400010i | ||||
\(549\) | 2.30253e11 | − | 3.33058e11i | 0.108176 | − | 0.156475i | ||||
\(550\) | 4.05711e12 | − | 2.24388e12i | 1.89053 | − | 1.04560i | ||||
\(551\) | 1.42282e12i | 0.657607i | ||||||||
\(552\) | 5.64243e11 | − | 2.95875e11i | 0.258667 | − | 0.135638i | ||||
\(553\) | −5.78041e11 | + | 5.78041e11i | −0.262842 | + | 0.262842i | ||||
\(554\) | −2.81966e12 | −1.27175 | ||||||||
\(555\) | 5.22801e11 | − | 1.86616e11i | 0.233893 | − | 0.0834892i | ||||
\(556\) | −2.07187e11 | −0.0919446 | ||||||||
\(557\) | 1.35194e12 | − | 1.35194e12i | 0.595125 | − | 0.595125i | −0.343886 | − | 0.939011i | \(-0.611743\pi\) |
0.939011 | + | 0.343886i | \(0.111743\pi\) | |||||||
\(558\) | 4.93542e11 | + | 2.70433e12i | 0.215511 | + | 1.18088i | ||||
\(559\) | − | 4.68434e11i | − | 0.202906i | ||||||
\(560\) | −9.15086e10 | + | 6.48890e11i | −0.0393202 | + | 0.278821i | ||||
\(561\) | −1.37887e12 | + | 4.41926e12i | −0.587747 | + | 1.88372i | ||||
\(562\) | 2.21675e12 | + | 2.21675e12i | 0.937353 | + | 0.937353i | ||||
\(563\) | 8.58856e11 | + | 8.58856e11i | 0.360274 | + | 0.360274i | 0.863914 | − | 0.503640i | \(-0.168006\pi\) |
−0.503640 | + | 0.863914i | \(0.668006\pi\) | |||||||
\(564\) | 3.40246e11 | − | 1.09048e12i | 0.141592 | − | 0.453799i | ||||
\(565\) | 3.03730e11 | − | 2.15376e12i | 0.125392 | − | 0.889159i | ||||
\(566\) | − | 3.44068e12i | − | 1.40919i | ||||||
\(567\) | 2.31061e11 | − | 5.11397e11i | 0.0938866 | − | 0.207795i | ||||
\(568\) | −1.37605e12 | + | 1.37605e12i | −0.554712 | + | 0.554712i | ||||
\(569\) | 4.55908e12 | 1.82336 | 0.911679 | − | 0.410903i | \(-0.134787\pi\) | ||||
0.911679 | + | 0.410903i | \(0.134787\pi\) | |||||||
\(570\) | 2.38522e12 | − | 8.51415e11i | 0.946438 | − | 0.337835i | ||||
\(571\) | 4.00706e12 | 1.57748 | 0.788738 | − | 0.614729i | \(-0.210735\pi\) | ||||
0.788738 | + | 0.614729i | \(0.210735\pi\) | |||||||
\(572\) | −1.21296e12 | + | 1.21296e12i | −0.473768 | + | 0.473768i | ||||
\(573\) | 1.37324e12 | − | 7.20091e11i | 0.532170 | − | 0.279056i | ||||
\(574\) | − | 9.15073e11i | − | 0.351846i | ||||||
\(575\) | 1.39466e12 | − | 7.71350e11i | 0.532064 | − | 0.294270i | ||||
\(576\) | 3.41797e11 | + | 2.36295e11i | 0.129380 | + | 0.0894444i | ||||
\(577\) | 1.96117e12 | + | 1.96117e12i | 0.736588 | + | 0.736588i | 0.971916 | − | 0.235328i | \(-0.0756164\pi\) |
−0.235328 | + | 0.971916i | \(0.575616\pi\) | |||||||
\(578\) | −8.55567e11 | − | 8.55567e11i | −0.318844 | − | 0.318844i | ||||
\(579\) | −2.79163e12 | − | 8.71026e11i | −1.03230 | − | 0.322090i | ||||
\(580\) | −1.13071e12 | + | 8.51210e11i | −0.414881 | + | 0.312328i | ||||
\(581\) | − | 5.59890e11i | − | 0.203850i | ||||||
\(582\) | 1.87592e12 | + | 3.57745e12i | 0.677737 | + | 1.29247i | ||||
\(583\) | 2.37282e12 | − | 2.37282e12i | 0.850659 | − | 0.850659i | ||||
\(584\) | 3.94499e11 | 0.140342 | ||||||||
\(585\) | −1.21804e12 | + | 1.32069e12i | −0.429990 | + | 0.466230i | ||||
\(586\) | −1.33106e12 | −0.466294 | ||||||||
\(587\) | 1.22469e12 | − | 1.22469e12i | 0.425749 | − | 0.425749i | −0.461428 | − | 0.887177i | \(-0.652663\pi\) |
0.887177 | + | 0.461428i | \(0.152663\pi\) | |||||||
\(588\) | −7.94949e11 | − | 1.51600e12i | −0.274247 | − | 0.522998i | ||||
\(589\) | − | 2.17107e12i | − | 0.743284i | ||||||
\(590\) | −7.14910e12 | − | 1.00819e12i | −2.42894 | − | 0.342537i | ||||
\(591\) | 5.03395e11 | + | 1.57066e11i | 0.169733 | + | 0.0529589i | ||||
\(592\) | −6.48068e11 | − | 6.48068e11i | −0.216857 | − | 0.216857i | ||||
\(593\) | −3.60622e11 | − | 3.60622e11i | −0.119759 | − | 0.119759i | 0.644688 | − | 0.764446i | \(-0.276987\pi\) |
−0.764446 | + | 0.644688i | \(0.776987\pi\) | |||||||
\(594\) | 4.03696e12 | + | 5.16447e12i | 1.33050 | + | 1.70211i | ||||
\(595\) | −4.87856e11 | − | 6.48044e11i | −0.159575 | − | 0.211972i | ||||
\(596\) | 2.76058e11i | 0.0896173i | ||||||||
\(597\) | −8.63831e11 | + | 4.52970e11i | −0.278320 | + | 0.145944i | ||||
\(598\) | −1.08633e12 | + | 1.08633e12i | −0.347381 | + | 0.347381i | ||||
\(599\) | 3.56745e12 | 1.13224 | 0.566118 | − | 0.824324i | \(-0.308445\pi\) | ||||
0.566118 | + | 0.824324i | \(0.308445\pi\) | |||||||
\(600\) | −1.27335e12 | − | 8.39071e11i | −0.401112 | − | 0.264313i | ||||
\(601\) | −5.62010e12 | −1.75715 | −0.878575 | − | 0.477604i | \(-0.841505\pi\) | ||||
−0.878575 | + | 0.477604i | \(0.841505\pi\) | |||||||
\(602\) | 2.11755e11 | − | 2.11755e11i | 0.0657126 | − | 0.0657126i | ||||
\(603\) | −4.25634e12 | + | 7.76785e11i | −1.31102 | + | 0.239262i | ||||
\(604\) | − | 2.82771e12i | − | 0.864508i | ||||||
\(605\) | −3.71794e12 | − | 4.93873e12i | −1.12824 | − | 1.49871i | ||||
\(606\) | −1.34285e12 | + | 4.30380e12i | −0.404482 | + | 1.29636i | ||||
\(607\) | 2.36872e12 | + | 2.36872e12i | 0.708214 | + | 0.708214i | 0.966160 | − | 0.257945i | \(-0.0830454\pi\) |
−0.257945 | + | 0.966160i | \(0.583045\pi\) | |||||||
\(608\) | −2.05390e12 | − | 2.05390e12i | −0.609556 | − | 0.609556i | ||||
\(609\) | 1.92192e11 | − | 6.15971e11i | 0.0566183 | − | 0.181461i | ||||
\(610\) | −8.20598e11 | − | 1.15723e11i | −0.239964 | − | 0.0338405i | ||||
\(611\) | − | 1.66739e12i | − | 0.484008i | ||||||
\(612\) | −2.47461e12 | + | 4.51618e11i | −0.713059 | + | 0.130134i | ||||
\(613\) | 3.72266e12 | − | 3.72266e12i | 1.06483 | − | 1.06483i | 0.0670840 | − | 0.997747i | \(-0.478630\pi\) |
0.997747 | − | 0.0670840i | \(-0.0213696\pi\) | |||||||
\(614\) | 3.07076e12 | 0.871944 | ||||||||
\(615\) | 3.88307e12 | + | 1.84014e12i | 1.09455 | + | 0.518697i | ||||
\(616\) | 6.63816e11 | 0.185752 | ||||||||
\(617\) | −4.38107e12 | + | 4.38107e12i | −1.21702 | + | 1.21702i | −0.248346 | + | 0.968671i | \(0.579887\pi\) |
−0.968671 | + | 0.248346i | \(0.920113\pi\) | |||||||
\(618\) | 1.25754e12 | − | 6.59421e11i | 0.346795 | − | 0.181850i | ||||
\(619\) | 1.48562e12i | 0.406724i | 0.979104 | + | 0.203362i | \(0.0651868\pi\) | ||||
−0.979104 | + | 0.203362i | \(0.934813\pi\) | |||||||
\(620\) | 1.72534e12 | − | 1.29886e12i | 0.468934 | − | 0.353020i | ||||
\(621\) | 1.38774e12 | + | 1.77533e12i | 0.374451 | + | 0.479034i | ||||
\(622\) | −2.85618e12 | − | 2.85618e12i | −0.765120 | − | 0.765120i | ||||
\(623\) | −2.34515e11 | − | 2.34515e11i | −0.0623698 | − | 0.0623698i | ||||
\(624\) | 2.83165e12 | + | 8.83515e11i | 0.747669 | + | 0.233283i | ||||
\(625\) | −3.23122e12 | − | 2.02760e12i | −0.847044 | − | 0.531523i | ||||
\(626\) | 1.15075e12i | 0.299500i | ||||||||
\(627\) | −2.40418e12 | − | 4.58487e12i | −0.621246 | − | 1.18474i | ||||
\(628\) | −3.14725e12 | + | 3.14725e12i | −0.807444 | + | 0.807444i | ||||
\(629\) | 1.13446e12 | 0.288976 | ||||||||
\(630\) | −1.14763e12 | + | 4.64063e10i | −0.290247 | + | 0.0117367i | ||||
\(631\) | 2.44337e12 | 0.613560 | 0.306780 | − | 0.951781i | \(-0.400748\pi\) | ||||
0.306780 | + | 0.951781i | \(0.400748\pi\) | |||||||
\(632\) | −2.22086e12 | + | 2.22086e12i | −0.553726 | + | 0.553726i | ||||
\(633\) | 2.05563e10 | + | 3.92016e10i | 0.00508895 | + | 0.00970481i | ||||
\(634\) | − | 5.02767e12i | − | 1.23585i | ||||||
\(635\) | −4.90958e11 | + | 3.48139e12i | −0.119829 | + | 0.849711i | ||||
\(636\) | 1.74062e12 | + | 5.43099e11i | 0.421840 | + | 0.131620i | ||||
\(637\) | −1.76676e12 | − | 1.76676e12i | −0.425159 | − | 0.425159i | ||||
\(638\) | 5.32964e12 | + | 5.32964e12i | 1.27352 | + | 1.27352i | ||||
\(639\) | −5.66154e12 | − | 3.91400e12i | −1.34332 | − | 0.928682i | ||||
\(640\) | −5.28933e11 | + | 3.75068e12i | −0.124621 | + | 0.883690i | ||||
\(641\) | 2.32307e12i | 0.543503i | 0.962367 | + | 0.271752i | \(0.0876029\pi\) | ||||
−0.962367 | + | 0.271752i | \(0.912397\pi\) | |||||||
\(642\) | 1.86127e12 | − | 9.76000e11i | 0.432415 | − | 0.226747i | ||||
\(643\) | 1.90280e12 | − | 1.90280e12i | 0.438980 | − | 0.438980i | −0.452689 | − | 0.891669i | \(-0.649535\pi\) |
0.891669 | + | 0.452689i | \(0.149535\pi\) | |||||||
\(644\) | −3.76978e11 | −0.0863633 | ||||||||
\(645\) | 4.72748e11 | + | 1.32439e12i | 0.107550 | + | 0.301299i | ||||
\(646\) | 5.17585e12 | 1.16933 | ||||||||
\(647\) | 1.99698e12 | − | 1.99698e12i | 0.448026 | − | 0.448026i | −0.446672 | − | 0.894698i | \(-0.647391\pi\) |
0.894698 | + | 0.446672i | \(0.147391\pi\) | |||||||
\(648\) | 8.87750e11 | − | 1.96481e12i | 0.197789 | − | 0.437758i | ||||
\(649\) | 1.47582e13i | 3.26536i | ||||||||
\(650\) | 3.53377e12 | + | 1.01691e12i | 0.776476 | + | 0.223446i | ||||
\(651\) | −2.93264e11 | + | 9.39907e11i | −0.0639948 | + | 0.205102i | ||||
\(652\) | −8.46508e11 | − | 8.46508e11i | −0.183450 | − | 0.183450i | ||||
\(653\) | −5.98379e12 | − | 5.98379e12i | −1.28786 | − | 1.28786i | −0.936087 | − | 0.351769i | \(-0.885580\pi\) |
−0.351769 | − | 0.936087i | \(-0.614420\pi\) | |||||||
\(654\) | 8.29430e11 | − | 2.65831e12i | 0.177288 | − | 0.568206i | ||||
\(655\) | −1.97057e12 | + | 1.48347e12i | −0.418317 | + | 0.314915i | ||||
\(656\) | − | 7.09454e12i | − | 1.49574i | ||||||
\(657\) | 2.50501e11 | + | 1.37260e12i | 0.0524523 | + | 0.287409i | ||||
\(658\) | 7.53742e11 | − | 7.53742e11i | 0.156750 | − | 0.156750i | ||||
\(659\) | 3.54936e12 | 0.733103 | 0.366552 | − | 0.930398i | \(-0.380538\pi\) | ||||
0.366552 | + | 0.930398i | \(0.380538\pi\) | |||||||
\(660\) | 2.20525e12 | − | 4.65353e12i | 0.452388 | − | 0.954629i | ||||
\(661\) | 7.97007e11 | 0.162389 | 0.0811943 | − | 0.996698i | \(-0.474127\pi\) | ||||
0.0811943 | + | 0.996698i | \(0.474127\pi\) | |||||||
\(662\) | −3.92636e12 | + | 3.92636e12i | −0.794564 | + | 0.794564i | ||||
\(663\) | −3.25175e12 | + | 1.70513e12i | −0.653592 | + | 0.342726i | ||||
\(664\) | − | 2.15113e12i | − | 0.429447i | ||||||
\(665\) | 8.98213e11 | + | 1.26669e11i | 0.178107 | + | 0.0251173i | ||||
\(666\) | 9.13485e11 | − | 1.32134e12i | 0.179915 | − | 0.260245i | ||||
\(667\) | 1.83211e12 | + | 1.83211e12i | 0.358413 | + | 0.358413i | ||||
\(668\) | 5.54348e10 | + | 5.54348e10i | 0.0107718 | + | 0.0107718i | ||||
\(669\) | −3.07685e12 | − | 9.60019e11i | −0.593866 | − | 0.185294i | ||||
\(670\) | 5.32598e12 | + | 7.07478e12i | 1.02109 | + | 1.35636i | ||||
\(671\) | 1.69399e12i | 0.322597i | ||||||||
\(672\) | 6.11746e11 | + | 1.16662e12i | 0.115720 | + | 0.220683i | ||||
\(673\) | −1.71719e11 | + | 1.71719e11i | −0.0322663 | + | 0.0322663i | −0.723056 | − | 0.690790i | \(-0.757263\pi\) |
0.690790 | + | 0.723056i | \(0.257263\pi\) | |||||||
\(674\) | −2.07615e12 | −0.387515 | ||||||||
\(675\) | 2.11087e12 | − | 4.96322e12i | 0.391376 | − | 0.920231i | ||||
\(676\) | 2.02167e12 | 0.372348 | ||||||||
\(677\) | 3.13073e11 | − | 3.13073e11i | 0.0572792 | − | 0.0572792i | −0.677887 | − | 0.735166i | \(-0.737104\pi\) |
0.735166 | + | 0.677887i | \(0.237104\pi\) | |||||||
\(678\) | −2.92301e12 | − | 5.57428e12i | −0.531247 | − | 1.01311i | ||||
\(679\) | 1.44680e12i | 0.261212i | ||||||||
\(680\) | −1.87437e12 | − | 2.48982e12i | −0.336175 | − | 0.446558i | ||||
\(681\) | 2.06208e12 | + | 6.43398e11i | 0.367404 | + | 0.114635i | ||||
\(682\) | −8.13247e12 | − | 8.13247e12i | −1.43944 | − | 1.43944i | ||||
\(683\) | 6.65471e12 | + | 6.65471e12i | 1.17014 | + | 1.17014i | 0.982177 | + | 0.187958i | \(0.0601869\pi\) |
0.187958 | + | 0.982177i | \(0.439813\pi\) | |||||||
\(684\) | 1.59968e12 | − | 2.31391e12i | 0.279435 | − | 0.404198i | ||||
\(685\) | −5.18178e12 | − | 7.30752e11i | −0.899231 | − | 0.126813i | ||||
\(686\) | − | 3.28225e12i | − | 0.565866i | ||||||
\(687\) | 6.00503e12 | − | 3.14888e12i | 1.02851 | − | 0.539325i | ||||
\(688\) | 1.64173e12 | − | 1.64173e12i | 0.279353 | − | 0.279353i | ||||
\(689\) | 2.66148e12 | 0.449922 | ||||||||
\(690\) | 1.97502e12 | − | 4.16769e12i | 0.331705 | − | 0.699963i | ||||
\(691\) | −3.74698e12 | −0.625216 | −0.312608 | − | 0.949882i | \(-0.601203\pi\) | ||||
−0.312608 | + | 0.949882i | \(0.601203\pi\) | |||||||
\(692\) | 2.10365e12 | − | 2.10365e12i | 0.348735 | − | 0.348735i | ||||
\(693\) | 4.21513e11 | + | 2.30965e12i | 0.0694243 | + | 0.380406i | ||||
\(694\) | 6.36423e10i | 0.0104143i | ||||||||
\(695\) | 7.25309e11 | − | 5.46022e11i | 0.117921 | − | 0.0887725i | ||||
\(696\) | 7.38410e11 | − | 2.36659e12i | 0.119277 | − | 0.382281i | ||||
\(697\) | 6.20959e12 | + | 6.20959e12i | 0.996588 | + | 0.996588i | ||||
\(698\) | 5.10140e12 | + | 5.10140e12i | 0.813467 | + | 0.813467i | ||||
\(699\) | −1.08448e12 | + | 3.47574e12i | −0.171820 | + | 0.550681i | ||||
\(700\) | 4.36699e11 | + | 7.89587e11i | 0.0687450 | + | 0.124296i | ||||
\(701\) | 9.55991e12i | 1.49528i | 0.664104 | + | 0.747640i | \(0.268813\pi\) | ||||
−0.664104 | + | 0.747640i | \(0.731187\pi\) | |||||||
\(702\) | −6.32335e11 | + | 5.16042e12i | −0.0982722 | + | 0.801988i | ||||
\(703\) | −8.97074e11 | + | 8.97074e11i | −0.138525 | + | 0.138525i | ||||
\(704\) | −1.73844e12 | −0.266737 | ||||||||
\(705\) | 1.68275e12 | + | 4.71419e12i | 0.256548 | + | 0.718714i | ||||
\(706\) | 5.12559e12 | 0.776467 | ||||||||
\(707\) | −1.14181e12 | + | 1.14181e12i | −0.171873 | + | 0.171873i | ||||
\(708\) | −7.10202e12 | + | 3.72412e12i | −1.06226 | + | 0.557023i | ||||
\(709\) | − | 1.13119e13i | − | 1.68124i | −0.541629 | − | 0.840618i | \(-0.682192\pi\) | ||
0.541629 | − | 0.840618i | \(-0.317808\pi\) | |||||||
\(710\) | −1.96714e12 | + | 1.39491e13i | −0.290518 | + | 2.06007i | ||||
\(711\) | −9.13738e12 | − | 6.31695e12i | −1.34094 | − | 0.927032i | ||||
\(712\) | −9.01019e11 | − | 9.01019e11i | −0.131393 | − | 0.131393i | ||||
\(713\) | −2.79560e12 | − | 2.79560e12i | −0.405109 | − | 0.405109i | ||||
\(714\) | −2.24075e12 | − | 6.99146e11i | −0.322665 | − | 0.100676i | ||||
\(715\) | 1.04963e12 | − | 7.44292e12i | 0.150196 | − | 1.06504i | ||||
\(716\) | 3.85167e12i | 0.547697i | ||||||||
\(717\) | 2.93619e12 | + | 5.59942e12i | 0.414904 | + | 0.791237i | ||||
\(718\) | −1.79448e12 | + | 1.79448e12i | −0.251987 | + | 0.251987i | ||||
\(719\) | −1.17904e13 | −1.64531 | −0.822654 | − | 0.568543i | \(-0.807507\pi\) | ||||
−0.822654 | + | 0.568543i | \(0.807507\pi\) | |||||||
\(720\) | −8.89752e12 | + | 3.59787e11i | −1.23388 | + | 0.0498941i | ||||
\(721\) | 5.08575e11 | 0.0700885 | ||||||||
\(722\) | 2.48456e12 | − | 2.48456e12i | 0.340277 | − | 0.340277i | ||||
\(723\) | 2.69345e12 | + | 5.13651e12i | 0.366595 | + | 0.699110i | ||||
\(724\) | 4.28236e12i | 0.579242i | ||||||||
\(725\) | 1.71503e12 | − | 5.95973e12i | 0.230542 | − | 0.801135i | ||||
\(726\) | −1.70767e13 | − | 5.32817e12i | −2.28134 | − | 0.711809i | ||||
\(727\) | −6.72393e12 | − | 6.72393e12i | −0.892726 | − | 0.892726i | 0.102053 | − | 0.994779i | \(-0.467459\pi\) |
−0.994779 | + | 0.102053i | \(0.967459\pi\) | |||||||
\(728\) | 3.72287e11 | + | 3.72287e11i | 0.0491231 | + | 0.0491231i | ||||
\(729\) | 7.39999e12 | + | 1.84117e12i | 0.970414 | + | 0.241446i | ||||
\(730\) | 2.28150e12 | − | 1.71754e12i | 0.297350 | − | 0.223849i | ||||
\(731\) | 2.87389e12i | 0.372256i | ||||||||
\(732\) | −8.15195e11 | + | 4.27467e11i | −0.104945 | + | 0.0550304i | ||||
\(733\) | 2.05455e12 | − | 2.05455e12i | 0.262875 | − | 0.262875i | −0.563346 | − | 0.826221i | \(-0.690486\pi\) |
0.826221 | + | 0.563346i | \(0.190486\pi\) | |||||||
\(734\) | −7.73056e12 | −0.983057 | ||||||||
\(735\) | 6.77817e12 | + | 3.21210e12i | 0.856682 | + | 0.405972i | ||||
\(736\) | −5.28947e12 | −0.664449 | ||||||||
\(737\) | 1.27997e13 | − | 1.27997e13i | 1.59807 | − | 1.59807i | ||||
\(738\) | 1.22326e13 | − | 2.23245e12i | 1.51797 | − | 0.277031i | ||||
\(739\) | 2.38731e12i | 0.294448i | 0.989103 | + | 0.147224i | \(0.0470339\pi\) | ||||
−0.989103 | + | 0.147224i | \(0.952966\pi\) | |||||||
\(740\) | −1.24958e12 | − | 1.76220e11i | −0.153187 | − | 0.0216030i | ||||
\(741\) | 1.22299e12 | − | 3.91965e12i | 0.149018 | − | 0.477602i | ||||
\(742\) | 1.20312e12 | + | 1.20312e12i | 0.145711 | + | 0.145711i | ||||
\(743\) | −5.20539e12 | − | 5.20539e12i | −0.626619 | − | 0.626619i | 0.320596 | − | 0.947216i | \(-0.396117\pi\) |
−0.947216 | + | 0.320596i | \(0.896117\pi\) | |||||||
\(744\) | −1.12674e12 | + | 3.61117e12i | −0.134817 | + | 0.432086i | ||||
\(745\) | −7.27524e11 | − | 9.66407e11i | −0.0865255 | − | 0.114936i | ||||
\(746\) | − | 1.87961e13i | − | 2.22199i | ||||||
\(747\) | 7.48453e12 | − | 1.36593e12i | 0.879472 | − | 0.160504i | ||||
\(748\) | 7.44167e12 | − | 7.44167e12i | 0.869186 | − | 0.869186i | ||||
\(749\) | 7.52736e11 | 0.0873925 | ||||||||
\(750\) | −1.10172e13 | + | 6.91221e11i | −1.27144 | + | 0.0797703i | ||||
\(751\) | −1.52194e13 | −1.74589 | −0.872946 | − | 0.487817i | \(-0.837793\pi\) | ||||
−0.872946 | + | 0.487817i | \(0.837793\pi\) | |||||||
\(752\) | 5.84374e12 | − | 5.84374e12i | 0.666363 | − | 0.666363i | ||||
\(753\) | −8.75226e12 | + | 4.58946e12i | −0.992071 | + | 0.520216i | ||||
\(754\) | 5.97802e12i | 0.673576i | ||||||||
\(755\) | 7.45216e12 | + | 9.89909e12i | 0.834681 | + | 1.10875i | ||||
\(756\) | −1.00510e12 | + | 7.85667e11i | −0.111908 | + | 0.0874763i | ||||
\(757\) | −2.62754e10 | − | 2.62754e10i | −0.00290816 | − | 0.00290816i | 0.705651 | − | 0.708559i | \(-0.250655\pi\) |
−0.708559 | + | 0.705651i | \(0.750655\pi\) | |||||||
\(758\) | 9.42075e11 | + | 9.42075e11i | 0.103651 | + | 0.103651i | ||||
\(759\) | −8.99953e12 | − | 2.80798e12i | −0.984310 | − | 0.307119i | ||||
\(760\) | 3.45098e12 | + | 4.86669e11i | 0.375216 | + | 0.0529142i | ||||
\(761\) | 9.67608e12i | 1.04585i | 0.852379 | + | 0.522924i | \(0.175159\pi\) | ||||
−0.852379 | + | 0.522924i | \(0.824841\pi\) | |||||||
\(762\) | 4.72483e12 | + | 9.01042e12i | 0.507678 | + | 0.968161i | ||||
\(763\) | 7.05258e11 | − | 7.05258e11i | 0.0753335 | − | 0.0753335i | ||||
\(764\) | −3.52499e12 | −0.374316 | ||||||||
\(765\) | 7.47277e12 | − | 8.10259e12i | 0.788870 | − | 0.855357i | ||||
\(766\) | 8.44432e12 | 0.886207 | ||||||||
\(767\) | −8.27680e12 | + | 8.27680e12i | −0.863541 | + | 0.863541i | ||||
\(768\) | 5.79452e12 | + | 1.10504e13i | 0.601024 | + | 1.14617i | ||||
\(769\) | 8.66863e12i | 0.893886i | 0.894562 | + | 0.446943i | \(0.147487\pi\) | ||||
−0.894562 | + | 0.446943i | \(0.852513\pi\) | |||||||
\(770\) | 3.83904e12 | − | 2.89008e12i | 0.393563 | − | 0.296279i | ||||
\(771\) | 1.41530e13 | + | 4.41593e12i | 1.44246 | + | 0.450067i | ||||
\(772\) | 4.70087e12 | + | 4.70087e12i | 0.476322 | + | 0.476322i | ||||
\(773\) | −8.83371e12 | − | 8.83371e12i | −0.889888 | − | 0.889888i | 0.104624 | − | 0.994512i | \(-0.466636\pi\) |
−0.994512 | + | 0.104624i | \(0.966636\pi\) | |||||||
\(774\) | 3.34731e12 | + | 2.31410e12i | 0.335245 | + | 0.231765i | ||||
\(775\) | −2.61696e12 | + | 9.09393e12i | −0.260579 | + | 0.905511i | ||||
\(776\) | 5.55867e12i | 0.550292i | ||||||||
\(777\) | 5.09540e11 | − | 2.67190e11i | 0.0501515 | − | 0.0262981i | ||||
\(778\) | −4.49416e12 | + | 4.49416e12i | −0.439785 | + | 0.439785i | ||||
\(779\) | −9.82046e12 | −0.955462 | ||||||||
\(780\) | 3.84660e12 | − | 1.37306e12i | 0.372092 | − | 0.132820i | ||||
\(781\) | 2.87956e13 | 2.76947 | ||||||||
\(782\) | 6.66475e12 | − | 6.66475e12i | 0.637314 | − | 0.637314i | ||||
\(783\) | 8.70310e12 | + | 1.06644e12i | 0.827458 | + | 0.101393i | ||||
\(784\) | − | 1.23840e13i | − | 1.17068i | ||||||
\(785\) | 2.72344e12 | − | 1.93120e13i | 0.255979 | − | 1.81515i | ||||
\(786\) | −2.12596e12 | + | 6.81366e12i | −0.198680 | + | 0.636765i | ||||
\(787\) | −1.07137e13 | − | 1.07137e13i | −0.995525 | − | 0.995525i | 0.00446477 | − | 0.999990i | \(-0.498579\pi\) |
−0.999990 | + | 0.00446477i | \(0.998579\pi\) | |||||||
\(788\) | −8.47676e11 | − | 8.47676e11i | −0.0783180 | − | 0.0783180i | ||||
\(789\) | 5.30208e12 | − | 1.69931e13i | 0.487080 | − | 1.56108i | ||||
\(790\) | −3.17485e12 | + | 2.25129e13i | −0.290002 | + | 2.05641i | ||||
\(791\) | − | 2.25436e12i | − | 0.204752i | ||||||
\(792\) | 1.61948e12 | + | 8.87380e12i | 0.146255 | + | 0.801395i | ||||
\(793\) | −9.50040e11 | + | 9.50040e11i | −0.0853124 | + | 0.0853124i | ||||
\(794\) | 1.74732e13 | 1.56020 | ||||||||
\(795\) | −7.52476e12 | + | 2.68599e12i | −0.668098 | + | 0.238481i | ||||
\(796\) | 2.21738e12 | 0.195764 | ||||||||
\(797\) | −1.12446e13 | + | 1.12446e13i | −0.987147 | + | 0.987147i | −0.999918 | − | 0.0127714i | \(-0.995935\pi\) |
0.0127714 | + | 0.999918i | \(0.495935\pi\) | |||||||
\(798\) | 2.32472e12 | − | 1.21902e12i | 0.202935 | − | 0.106414i | ||||
\(799\) | 1.02296e13i | 0.887973i | ||||||||
\(800\) | 6.12743e12 | + | 1.10789e13i | 0.528900 | + | 0.956294i | ||||
\(801\) | 2.56283e12 | − | 3.70710e12i | 0.219975 | − | 0.318191i | ||||
\(802\) | −8.91443e12 | − | 8.91443e12i | −0.760868 | − | 0.760868i | ||||
\(803\) | −4.12769e12 | − | 4.12769e12i | −0.350338 | − | 0.350338i | ||||
\(804\) | 9.38946e12 | + | 2.92964e12i | 0.792480 | + | 0.247265i | ||||
\(805\) | 1.31970e12 | − | 9.93487e11i | 0.110763 | − | 0.0833837i | ||||
\(806\) | − | 9.12183e12i | − | 0.761333i | ||||||
\(807\) | −8.25851e12 | − | 1.57493e13i | −0.685442 | − | 1.30716i | ||||
\(808\) | −4.38690e12 | + | 4.38690e12i | −0.362082 | + | 0.362082i | ||||
\(809\) | −1.50241e13 | −1.23316 | −0.616582 | − | 0.787290i | \(-0.711483\pi\) | ||||
−0.616582 | + | 0.787290i | \(0.711483\pi\) | |||||||
\(810\) | −3.42016e12 | − | 1.52281e13i | −0.279167 | − | 1.24298i | ||||
\(811\) | −4.11791e12 | −0.334259 | −0.167129 | − | 0.985935i | \(-0.553450\pi\) | ||||
−0.167129 | + | 0.985935i | \(0.553450\pi\) | |||||||
\(812\) | −1.03724e12 | + | 1.03724e12i | −0.0837296 | + | 0.0837296i | ||||
\(813\) | 1.48991e12 | + | 2.84131e12i | 0.119606 | + | 0.228093i | ||||
\(814\) | 6.72059e12i | 0.536535i | ||||||||
\(815\) | 5.19429e12 | + | 7.32517e11i | 0.412399 | + | 0.0581578i | ||||
\(816\) | −1.73725e13 | − | 5.42046e12i | −1.37169 | − | 0.427987i | ||||
\(817\) | −2.27253e12 | − | 2.27253e12i | −0.178447 | − | 0.178447i | ||||
\(818\) | −7.39208e12 | − | 7.39208e12i | −0.577267 | − | 0.577267i | ||||
\(819\) | −1.05892e12 | + | 1.53171e12i | −0.0822405 | + | 0.118960i | ||||
\(820\) | −5.87516e12 | − | 7.80429e12i | −0.453793 | − | 0.602797i | ||||
\(821\) | 2.90851e11i | 0.0223422i | 0.999938 | + | 0.0111711i | \(0.00355594\pi\) | ||||
−0.999938 | + | 0.0111711i | \(0.996444\pi\) | |||||||
\(822\) | −1.34113e13 | + | 7.03254e12i | −1.02458 | + | 0.537265i | ||||
\(823\) | 5.85316e12 | − | 5.85316e12i | 0.444724 | − | 0.444724i | −0.448872 | − | 0.893596i | \(-0.648174\pi\) |
0.893596 | + | 0.448872i | \(0.148174\pi\) | |||||||
\(824\) | 1.95397e12 | 0.147654 | ||||||||
\(825\) | 4.54389e12 | + | 2.21025e13i | 0.341495 | + | 1.66111i | ||||
\(826\) | −7.48302e12 | −0.559328 | ||||||||
\(827\) | −2.49386e11 | + | 2.49386e11i | −0.0185394 | + | 0.0185394i | −0.716316 | − | 0.697776i | \(-0.754173\pi\) |
0.697776 | + | 0.716316i | \(0.254173\pi\) | |||||||
\(828\) | −9.19692e11 | − | 5.03938e12i | −0.0679995 | − | 0.372598i | ||||
\(829\) | − | 6.93314e12i | − | 0.509841i | −0.966962 | − | 0.254920i | \(-0.917951\pi\) | ||
0.966962 | − | 0.254920i | \(-0.0820493\pi\) | |||||||
\(830\) | −9.36543e12 | − | 1.24406e13i | −0.684978 | − | 0.909892i | ||||
\(831\) | 4.08750e12 | − | 1.31004e13i | 0.297340 | − | 0.952970i | ||||
\(832\) | −9.74967e11 | − | 9.74967e11i | −0.0705399 | − | 0.0705399i | ||||
\(833\) | 1.08393e13 | + | 1.08393e13i | 0.780006 | + | 0.780006i | ||||
\(834\) | 7.82503e11 | − | 2.50791e12i | 0.0560065 | − | 0.179500i | ||||
\(835\) | −3.40156e11 | − | 4.79699e10i | −0.0242153 | − | 0.00341492i | ||||
\(836\) | 1.17690e13i | 0.833318i | ||||||||
\(837\) | −1.32800e13 | − | 1.62727e12i | −0.935263 | − | 0.114603i | ||||
\(838\) | 2.01520e12 | − | 2.01520e12i | 0.141163 | − | 0.141163i | ||||
\(839\) | 4.80824e12 | 0.335009 | 0.167505 | − | 0.985871i | \(-0.446429\pi\) | ||||
0.167505 | + | 0.985871i | \(0.446429\pi\) | |||||||
\(840\) | −1.42827e12 | − | 6.76843e11i | −0.0989816 | − | 0.0469063i | ||||
\(841\) | −4.42515e12 | −0.305033 | ||||||||
\(842\) | 7.13343e12 | − | 7.13343e12i | 0.489096 | − | 0.489096i | ||||
\(843\) | −1.35127e13 | + | 7.08572e12i | −0.921550 | + | 0.483237i | ||||
\(844\) | − | 1.00627e11i | − | 0.00682614i | ||||||
\(845\) | −7.07733e12 | + | 5.32790e12i | −0.477545 | + | 0.359502i | ||||
\(846\) | 1.19148e13 | + | 8.23706e12i | 0.799686 | + | 0.552848i | ||||
\(847\) | −4.53051e12 | − | 4.53051e12i | −0.302462 | − | 0.302462i | ||||
\(848\) | 9.32775e12 | + | 9.32775e12i | 0.619434 | + | 0.619434i | ||||
\(849\) | 1.59857e13 | + | 4.98776e12i | 1.05596 | + | 0.329474i | ||||
\(850\) | −2.16800e13 | − | 6.23886e12i | −1.42454 | − | 0.409940i | ||||
\(851\) | 2.31026e12i | 0.151000i | ||||||||
\(852\) | 7.26637e12 | + | 1.38572e13i | 0.472432 | + | 0.900944i | ||||
\(853\) | 1.15224e13 | − | 1.15224e13i | 0.745201 | − | 0.745201i | −0.228373 | − | 0.973574i | \(-0.573340\pi\) |
0.973574 | + | 0.228373i | \(0.0733405\pi\) | |||||||
\(854\) | −8.58927e11 | −0.0552581 | ||||||||
\(855\) | 4.98028e11 | + | 1.23162e13i | 0.0318718 | + | 0.788188i | ||||
\(856\) | 2.89205e12 | 0.184109 | ||||||||
\(857\) | −1.69219e13 | + | 1.69219e13i | −1.07161 | + | 1.07161i | −0.0743768 | + | 0.997230i | \(0.523697\pi\) |
−0.997230 | + | 0.0743768i | \(0.976303\pi\) | |||||||
\(858\) | −1.01013e13 | − | 1.92635e13i | −0.636332 | − | 1.21351i | ||||
\(859\) | − | 2.07492e13i | − | 1.30027i | −0.759820 | − | 0.650133i | \(-0.774713\pi\) | ||
0.759820 | − | 0.650133i | \(-0.225287\pi\) | |||||||
\(860\) | 4.46413e11 | − | 3.16553e12i | 0.0278288 | − | 0.197334i | ||||
\(861\) | 4.25151e12 | + | 1.32653e12i | 0.263651 | + | 0.0822628i | ||||
\(862\) | 6.15980e12 | + | 6.15980e12i | 0.380000 | + | 0.380000i | ||||
\(863\) | 4.66294e12 | + | 4.66294e12i | 0.286161 | + | 0.286161i | 0.835560 | − | 0.549399i | \(-0.185143\pi\) |
−0.549399 | + | 0.835560i | \(0.685143\pi\) | |||||||
\(864\) | −1.41028e13 | + | 1.10239e13i | −0.860981 | + | 0.673012i | ||||
\(865\) | −1.82037e12 | + | 1.29083e13i | −0.110557 | + | 0.783963i | ||||
\(866\) | 3.16366e13i | 1.91143i | ||||||||
\(867\) | 5.21531e12 | − | 2.73477e12i | 0.313469 | − | 0.164375i | ||||
\(868\) | 1.58273e12 | − | 1.58273e12i | 0.0946383 | − | 0.0946383i | ||||
\(869\) | 4.64744e13 | 2.76455 | ||||||||
\(870\) | −6.03308e12 | − | 1.69015e13i | −0.357028 | − | 1.00021i | ||||
\(871\) | 1.43569e13 | 0.845235 | ||||||||
\(872\) | 2.70964e12 | − | 2.70964e12i | 0.158704 | − | 0.158704i | ||||
\(873\) | −1.93406e13 | + | 3.52967e12i | −1.12695 | + | 0.205670i | ||||
\(874\) | 1.05403e13i | 0.611014i | ||||||||
\(875\) | −3.60965e12 | − | 1.61326e12i | −0.208175 | − | 0.0930398i | ||||
\(876\) | 9.44762e11 | − | 3.02795e12i | 0.0542068 | − | 0.173732i | ||||
\(877\) | 2.08823e13 | + | 2.08823e13i | 1.19201 | + | 1.19201i | 0.976501 | + | 0.215512i | \(0.0691419\pi\) |
0.215512 | + | 0.976501i | \(0.430858\pi\) | |||||||
\(878\) | −8.01539e12 | − | 8.01539e12i | −0.455197 | − | 0.455197i | ||||
\(879\) | 1.92957e12 | − | 6.18425e12i | 0.109021 | − | 0.349411i | ||||
\(880\) | 2.97640e13 | − | 2.24067e13i | 1.67309 | − | 1.25952i | ||||
\(881\) | − | 8.03323e12i | − | 0.449261i | −0.974444 | − | 0.224630i | \(-0.927883\pi\) | ||
0.974444 | − | 0.224630i | \(-0.0721174\pi\) | |||||||
\(882\) | 2.13528e13 | − | 3.89691e12i | 1.18808 | − | 0.216826i | ||||
\(883\) | 2.03835e12 | − | 2.03835e12i | 0.112838 | − | 0.112838i | −0.648433 | − | 0.761271i | \(-0.724575\pi\) |
0.761271 | + | 0.648433i | \(0.224575\pi\) | |||||||
\(884\) | 8.34699e12 | 0.459721 | ||||||||
\(885\) | 1.50478e13 | − | 3.17538e13i | 0.824571 | − | 1.74001i | ||||
\(886\) | 1.11413e12 | 0.0607414 | ||||||||
\(887\) | 1.29315e13 | − | 1.29315e13i | 0.701445 | − | 0.701445i | −0.263276 | − | 0.964721i | \(-0.584803\pi\) |
0.964721 | + | 0.263276i | \(0.0848029\pi\) | |||||||
\(888\) | 1.95768e12 | − | 1.02656e12i | 0.105653 | − | 0.0554019i | ||||
\(889\) | 3.64400e12i | 0.195669i | ||||||||
\(890\) | −9.13365e12 | − | 1.28806e12i | −0.487966 | − | 0.0688145i | ||||
\(891\) | −2.98468e13 | + | 1.12695e13i | −1.58653 | + | 0.599037i | ||||
\(892\) | 5.18115e12 | + | 5.18115e12i | 0.274022 | + | 0.274022i | ||||
\(893\) | −8.08908e12 | − | 8.08908e12i | −0.425665 | − | 0.425665i | ||||
\(894\) | −3.34156e12 | − | 1.04261e12i | −0.174957 | − | 0.0545889i | ||||
\(895\) | −1.01507e13 | − | 1.34837e13i | −0.528801 | − | 0.702434i | ||||
\(896\) | 3.92587e12i | 0.203493i | ||||||||
\(897\) | −3.47240e12 | − | 6.62198e12i | −0.179087 | − | 0.341525i | ||||
\(898\) | −3.92127e12 | + | 3.92127e12i | −0.201225 | + | 0.201225i | ||||
\(899\) | −1.53841e13 | −0.785511 | ||||||||
\(900\) | −9.48970e12 | + | 7.76404e12i | −0.482127 | + | 0.394454i | ||||
\(901\) | −1.63285e13 | −0.825438 | ||||||||
\(902\) | −3.67859e13 | + | 3.67859e13i | −1.85034 | + | 1.85034i | ||||
\(903\) | 6.76863e11 | + | 1.29080e12i | 0.0338771 | + | 0.0646047i | ||||
\(904\) | − | 8.66137e12i | − | 0.431349i | ||||||
\(905\) | −1.12858e13 | − | 1.49914e13i | −0.559258 | − | 0.742891i | ||||
\(906\) | 3.42282e13 | + | 1.06797e13i | 1.68775 | + | 0.526600i | ||||
\(907\) | 2.57581e13 | + | 2.57581e13i | 1.26381 | + | 1.26381i | 0.949233 | + | 0.314573i | \(0.101861\pi\) |
0.314573 | + | 0.949233i | \(0.398139\pi\) | |||||||
\(908\) | −3.47238e12 | − | 3.47238e12i | −0.169528 | − | 0.169528i | ||||
\(909\) | −1.80492e13 | − | 1.24780e13i | −0.876841 | − | 0.606187i | ||||
\(910\) | 3.77388e12 | + | 5.32205e11i | 0.182432 | + | 0.0257272i | ||||
\(911\) | − | 2.17283e13i | − | 1.04519i | −0.852583 | − | 0.522593i | \(-0.824965\pi\) | ||
0.852583 | − | 0.522593i | \(-0.175035\pi\) | |||||||
\(912\) | 1.80235e13 | − | 9.45106e12i | 0.862705 | − | 0.452380i | ||||
\(913\) | −2.25075e13 | + | 2.25075e13i | −1.07204 | + | 1.07204i | ||||
\(914\) | 2.74272e13 | 1.29994 | ||||||||
\(915\) | 1.72724e12 | − | 3.64482e12i | 0.0814624 | − | 0.171902i | ||||
\(916\) | −1.54144e13 | −0.723432 | ||||||||
\(917\) | −1.80769e12 | + | 1.80769e12i | −0.0844231 | + | 0.0844231i | ||||
\(918\) | 3.87944e12 | − | 3.16597e13i | 0.180292 | − | 1.47135i | ||||
\(919\) | 2.50024e13i | 1.15628i | 0.815938 | + | 0.578139i | \(0.196221\pi\) | ||||
−0.815938 | + | 0.578139i | \(0.803779\pi\) | |||||||
\(920\) | 5.07036e12 | − | 3.81703e12i | 0.233342 | − | 0.175663i | ||||
\(921\) | −4.45152e12 | + | 1.42670e13i | −0.203864 | + | 0.653380i | ||||
\(922\) | −6.04510e12 | − | 6.04510e12i | −0.275496 | − | 0.275496i | ||||
\(923\) | 1.61494e13 | + | 1.61494e13i | 0.732401 | + | 0.732401i | ||||
\(924\) | 1.58973e12 | − | 5.09508e12i | 0.0717465 | − | 0.229946i | ||||
\(925\) | 4.83888e12 | − | 2.67625e12i | 0.217324 | − | 0.120196i | ||||
\(926\) | − | 1.00740e13i | − | 0.450247i | ||||||
\(927\) | 1.24074e12 | + | 6.79857e12i | 0.0551853 | + | 0.302384i | ||||
\(928\) | −1.45538e13 | + | 1.45538e13i | −0.644187 | + | 0.644187i | ||||
\(929\) | 1.27155e13 | 0.560097 | 0.280048 | − | 0.959986i | \(-0.409650\pi\) | ||||
0.280048 | + | 0.959986i | \(0.409650\pi\) | |||||||
\(930\) | 9.20585e12 | + | 2.57900e13i | 0.403544 | + | 1.13052i | ||||
\(931\) | −1.71423e13 | −0.747818 | ||||||||
\(932\) | 5.85286e12 | − | 5.85286e12i | 0.254095 | − | 0.254095i | ||||
\(933\) | 1.74105e13 | − | 9.12964e12i | 0.752220 | − | 0.394445i | ||||
\(934\) | − | 4.00537e13i | − | 1.72219i | ||||||
\(935\) | −6.43956e12 | + | 4.56631e13i | −0.275552 | + | 1.95395i | ||||
\(936\) | −4.06843e12 | + | 5.88492e12i | −0.173255 | + | 0.250611i | ||||
\(937\) | −3.51292e12 | − | 3.51292e12i | −0.148881 | − | 0.148881i | 0.628737 | − | 0.777618i | \(-0.283572\pi\) |
−0.777618 | + | 0.628737i | \(0.783572\pi\) | |||||||
\(938\) | 6.48999e12 | + | 6.48999e12i | 0.273736 | + | 0.273736i | ||||
\(939\) | −5.34649e12 | − | 1.66818e12i | −0.224426 | − | 0.0700241i | ||||
\(940\) | 1.58901e12 | − | 1.12677e13i | 0.0663821 | − | 0.470718i | ||||
\(941\) | 4.01656e12i | 0.166994i | 0.996508 | + | 0.0834971i | \(0.0266089\pi\) | ||||
−0.996508 | + | 0.0834971i | \(0.973391\pi\) | |||||||
\(942\) | −2.62096e13 | − | 4.99825e13i | −1.08450 | − | 2.06818i | ||||
\(943\) | −1.26454e13 | + | 1.26454e13i | −0.520752 | + | 0.520752i | ||||
\(944\) | −5.80157e13 | −2.37778 | ||||||||
\(945\) | 1.44804e12 | − | 5.39926e12i | 0.0590662 | − | 0.220237i | ||||
\(946\) | −1.70250e13 | −0.691159 | ||||||||
\(947\) | 2.64335e13 | − | 2.64335e13i | 1.06802 | − | 1.06802i | 0.0705084 | − | 0.997511i | \(-0.477538\pi\) |
0.997511 | − | 0.0705084i | \(-0.0224622\pi\) | |||||||
\(948\) | 1.17275e13 | + | 2.23647e13i | 0.471592 | + | 0.899343i | ||||
\(949\) | − | 4.62985e12i | − | 0.185297i | ||||||
\(950\) | 2.20769e13 | − | 1.22101e13i | 0.879389 | − | 0.486366i | ||||
\(951\) | 2.33590e13 | + | 7.28834e12i | 0.926066 | + | 0.288946i | ||||
\(952\) | −2.28402e12 | − | 2.28402e12i | −0.0901225 | − | 0.0901225i | ||||
\(953\) | 3.23595e13 | + | 3.23595e13i | 1.27082 | + | 1.27082i | 0.945660 | + | 0.325158i | \(0.105418\pi\) |
0.325158 | + | 0.945660i | \(0.394582\pi\) | |||||||
\(954\) | −1.31479e13 | + | 1.90183e13i | −0.513914 | + | 0.743369i | ||||
\(955\) | 1.23401e13 | − | 9.28978e12i | 0.480069 | − | 0.361402i | ||||
\(956\) | − | 1.43733e13i | − | 0.556538i | ||||||
\(957\) | −3.24881e13 | + | 1.70359e13i | −1.25205 | + | 0.656541i | ||||
\(958\) | −1.17466e12 | + | 1.17466e12i | −0.0450576 | + | 0.0450576i | ||||
\(959\) | −5.42381e12 | −0.207072 | ||||||||
\(960\) | 3.74045e12 | + | 1.77256e12i | 0.142136 | + | 0.0673566i | ||||
\(961\) | −2.96516e12 | −0.112148 | ||||||||
\(962\) | −3.76910e12 | + | 3.76910e12i | −0.141889 | + | 0.141889i | ||||
\(963\) | 1.83641e12 | + | 1.00625e13i | 0.0688099 | + | 0.377039i | ||||
\(964\) | − | 1.31850e13i | − | 0.491738i | ||||||
\(965\) | −2.88452e13 | − | 4.06785e12i | −1.07078 | − | 0.151005i | ||||
\(966\) | 1.42377e12 | − | 4.56315e12i | 0.0526067 | − | 0.168604i | ||||
\(967\) | −3.64300e12 | − | 3.64300e12i | −0.133980 | − | 0.133980i | 0.636936 | − | 0.770916i | \(-0.280201\pi\) |
−0.770916 | + | 0.636936i | \(0.780201\pi\) | |||||||
\(968\) | −1.74064e13 | − | 1.74064e13i | −0.637193 | − | 0.637193i | ||||
\(969\) | −7.50315e12 | + | 2.40475e13i | −0.273393 | + | 0.876219i | ||||
\(970\) | 2.42010e13 | + | 3.21474e13i | 0.877728 | + | 1.16593i | ||||
\(971\) | − | 4.47547e13i | − | 1.61567i | −0.589410 | − | 0.807834i | \(-0.700640\pi\) | ||
0.589410 | − | 0.807834i | \(-0.299360\pi\) | |||||||
\(972\) | −1.29548e13 | − | 1.15193e13i | −0.465513 | − | 0.413930i | ||||
\(973\) | 6.65356e11 | − | 6.65356e11i | 0.0237983 | − | 0.0237983i | ||||
\(974\) | −9.51405e12 | −0.338727 | ||||||||
\(975\) | −9.84737e12 | + | 1.49440e13i | −0.348979 | + | 0.529599i | ||||
\(976\) | −6.65924e12 | −0.234909 | ||||||||
\(977\) | −1.39173e13 | + | 1.39173e13i | −0.488685 | + | 0.488685i | −0.907891 | − | 0.419206i | \(-0.862309\pi\) |
0.419206 | + | 0.907891i | \(0.362309\pi\) | |||||||
\(978\) | 1.34437e13 | − | 7.04952e12i | 0.469887 | − | 0.246397i | ||||
\(979\) | 1.88550e13i | 0.656000i | ||||||||
\(980\) | −1.02555e13 | − | 1.36229e13i | −0.355173 | − | 0.471795i | ||||
\(981\) | 1.11484e13 | + | 7.70722e12i | 0.384327 | + | 0.265697i | ||||
\(982\) | 3.69097e12 | + | 3.69097e12i | 0.126660 | + | 0.126660i | ||||
\(983\) | −2.41768e13 | − | 2.41768e13i | −0.825863 | − | 0.825863i | 0.161079 | − | 0.986942i | \(-0.448503\pi\) |
−0.986942 | + | 0.161079i | \(0.948503\pi\) | |||||||
\(984\) | 1.63345e13 | + | 5.09660e12i | 0.555430 | + | 0.173302i | ||||
\(985\) | 5.20146e12 | + | 7.33527e11i | 0.176061 | + | 0.0248287i | ||||
\(986\) | − | 3.66758e13i | − | 1.23576i | ||||||
\(987\) | 2.40930e12 | + | 4.59462e12i | 0.0808096 | + | 0.154107i | ||||
\(988\) | −6.60037e12 | + | 6.60037e12i | −0.220375 | + | 0.220375i | ||||
\(989\) | −5.85250e12 | −0.194517 | ||||||||
\(990\) | 4.80001e13 | + | 4.42690e13i | 1.58812 | + | 1.46468i | ||||
\(991\) | 1.21293e13 | 0.399487 | 0.199743 | − | 0.979848i | \(-0.435989\pi\) | ||||
0.199743 | + | 0.979848i | \(0.435989\pi\) | |||||||
\(992\) | 2.22076e13 | − | 2.22076e13i | 0.728115 | − | 0.728115i | ||||
\(993\) | −1.25504e13 | − | 2.39340e13i | −0.409624 | − | 0.781168i | ||||
\(994\) | 1.46006e13i | 0.474387i | ||||||||
\(995\) | −7.76249e12 | + | 5.84370e12i | −0.251071 | + | 0.189010i | ||||
\(996\) | −1.65108e13 | − | 5.15161e12i | −0.531621 | − | 0.165873i | ||||
\(997\) | −2.35103e13 | − | 2.35103e13i | −0.753582 | − | 0.753582i | 0.221564 | − | 0.975146i | \(-0.428884\pi\) |
−0.975146 | + | 0.221564i | \(0.928884\pi\) | |||||||
\(998\) | 2.10829e13 | + | 2.10829e13i | 0.672734 | + | 0.672734i | ||||
\(999\) | 4.81485e12 | + | 6.15962e12i | 0.152946 | + | 0.195663i |
(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 | 15.10.e.a.2.13 | yes | 32 | |
3.2 | odd | 2 | inner | 15.10.e.a.2.4 | ✓ | 32 | |
5.2 | odd | 4 | 75.10.e.f.68.13 | 32 | |||
5.3 | odd | 4 | inner | 15.10.e.a.8.4 | yes | 32 | |
5.4 | even | 2 | 75.10.e.f.32.4 | 32 | |||
15.2 | even | 4 | 75.10.e.f.68.4 | 32 | |||
15.8 | even | 4 | inner | 15.10.e.a.8.13 | yes | 32 | |
15.14 | odd | 2 | 75.10.e.f.32.13 | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
15.10.e.a.2.4 | ✓ | 32 | 3.2 | odd | 2 | inner | |
15.10.e.a.2.13 | yes | 32 | 1.1 | even | 1 | trivial | |
15.10.e.a.8.4 | yes | 32 | 5.3 | odd | 4 | inner | |
15.10.e.a.8.13 | yes | 32 | 15.8 | even | 4 | inner | |
75.10.e.f.32.4 | 32 | 5.4 | even | 2 | |||
75.10.e.f.32.13 | 32 | 15.14 | odd | 2 | |||
75.10.e.f.68.4 | 32 | 15.2 | even | 4 | |||
75.10.e.f.68.13 | 32 | 5.2 | odd | 4 |