Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [16,15,Mod(3,16)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(16, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([2, 3]))
N = Newforms(chi, 15, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("16.3");
S:= CuspForms(chi, 15);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 16 = 2^{4} \) |
Weight: | \( k \) | \(=\) | \( 15 \) |
Character orbit: | \([\chi]\) | \(=\) | 16.f (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: | \(19.8926349043\) |
Analytic rank: | \(0\) |
Dimension: | \(54\) |
Relative dimension: | \(27\) over \(\Q(i)\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 3.2 | ||
Character | \(\chi\) | \(=\) | 16.3 |
Dual form | 16.15.f.a.11.2 |
$q$-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 \(\left(\mathbb{Z}/16\mathbb{Z}\right)^\times\).
\(n\) | \(5\) | \(15\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −123.321 | − | 34.2916i | −0.963446 | − | 0.267903i | ||||
\(3\) | −39.1610 | + | 39.1610i | −0.0179063 | + | 0.0179063i | −0.716003 | − | 0.698097i | \(-0.754030\pi\) |
0.698097 | + | 0.716003i | \(0.254030\pi\) | |||||||
\(4\) | 14032.2 | + | 8457.74i | 0.856456 | + | 0.516220i | ||||
\(5\) | −4748.26 | + | 4748.26i | −0.0607777 | + | 0.0607777i | −0.736842 | − | 0.676065i | \(-0.763684\pi\) |
0.676065 | + | 0.736842i | \(0.263684\pi\) | |||||||
\(6\) | 6172.27 | − | 3486.48i | 0.0220489 | − | 0.0124546i | ||||
\(7\) | 903713. | 1.09735 | 0.548674 | − | 0.836037i | \(-0.315133\pi\) | ||||
0.548674 | + | 0.836037i | \(0.315133\pi\) | |||||||
\(8\) | −1.44043e6 | − | 1.52420e6i | −0.686853 | − | 0.726797i | ||||
\(9\) | 4.77990e6i | 0.999359i | ||||||||
\(10\) | 748385. | − | 422735.i | 0.0748385 | − | 0.0422735i | ||||
\(11\) | −2.30896e7 | − | 2.30896e7i | −1.18486 | − | 1.18486i | −0.978470 | − | 0.206390i | \(-0.933828\pi\) |
−0.206390 | − | 0.978470i | \(-0.566172\pi\) | |||||||
\(12\) | −880728. | + | 218300.i | −0.0245795 | + | 0.00609236i | ||||
\(13\) | −1.82293e7 | − | 1.82293e7i | −0.290514 | − | 0.290514i | 0.546769 | − | 0.837283i | \(-0.315857\pi\) |
−0.837283 | + | 0.546769i | \(0.815857\pi\) | |||||||
\(14\) | −1.11447e8 | − | 3.09897e7i | −1.05724 | − | 0.293982i | ||||
\(15\) | − | 371893.i | − | 0.00217660i | ||||||
\(16\) | 1.25369e8 | + | 2.37361e8i | 0.467034 | + | 0.884239i | ||||
\(17\) | 4.50577e8 | 1.09806 | 0.549030 | − | 0.835802i | \(-0.314997\pi\) | ||||
0.549030 | + | 0.835802i | \(0.314997\pi\) | |||||||
\(18\) | 1.63910e8 | − | 5.89463e8i | 0.267731 | − | 0.962828i | ||||
\(19\) | −9.06528e8 | + | 9.06528e8i | −1.01416 | + | 1.01416i | −0.0142605 | + | 0.999898i | \(0.504539\pi\) |
−0.999898 | + | 0.0142605i | \(0.995461\pi\) | |||||||
\(20\) | −1.06788e8 | + | 2.64688e7i | −0.0834280 | + | 0.0206788i | ||||
\(21\) | −3.53903e7 | + | 3.53903e7i | −0.0196494 | + | 0.0196494i | ||||
\(22\) | 2.05565e9 | + | 3.63921e9i | 0.824121 | + | 1.45898i | ||||
\(23\) | 6.46520e9 | 1.89883 | 0.949417 | − | 0.314017i | \(-0.101675\pi\) | ||||
0.949417 | + | 0.314017i | \(0.101675\pi\) | |||||||
\(24\) | 1.16098e8 | + | 3.28048e6i | 0.0253132 | + | 0.000715251i | ||||
\(25\) | 6.05842e9i | 0.992612i | ||||||||
\(26\) | 1.62295e9 | + | 2.87317e9i | 0.202065 | + | 0.357724i | ||||
\(27\) | −3.74492e8 | − | 3.74492e8i | −0.0358010 | − | 0.0358010i | ||||
\(28\) | 1.26811e10 | + | 7.64337e9i | 0.939830 | + | 0.566472i | ||||
\(29\) | 6.07266e9 | + | 6.07266e9i | 0.352041 | + | 0.352041i | 0.860868 | − | 0.508828i | \(-0.169921\pi\) |
−0.508828 | + | 0.860868i | \(0.669921\pi\) | |||||||
\(30\) | −1.27528e7 | + | 4.58622e7i | −0.000583118 | + | 0.00209704i | ||||
\(31\) | 2.36384e10i | 0.859183i | 0.903023 | + | 0.429591i | \(0.141342\pi\) | ||||
−0.903023 | + | 0.429591i | \(0.858658\pi\) | |||||||
\(32\) | −7.32111e9 | − | 3.35707e10i | −0.213072 | − | 0.977036i | ||||
\(33\) | 1.80842e9 | 0.0424328 | ||||||||
\(34\) | −5.55656e10 | − | 1.54510e10i | −1.05792 | − | 0.294174i | ||||
\(35\) | −4.29106e9 | + | 4.29106e9i | −0.0666942 | + | 0.0666942i | ||||
\(36\) | −4.04272e10 | + | 6.70724e10i | −0.515889 | + | 0.855907i | ||||
\(37\) | 2.37359e10 | − | 2.37359e10i | 0.250031 | − | 0.250031i | −0.570952 | − | 0.820983i | \(-0.693426\pi\) |
0.820983 | + | 0.570952i | \(0.193426\pi\) | |||||||
\(38\) | 1.42880e11 | − | 8.07078e10i | 1.24878 | − | 0.705391i | ||||
\(39\) | 1.42776e9 | 0.0104040 | ||||||||
\(40\) | 1.40769e10 | + | 3.97757e8i | 0.0859183 | + | 0.00242771i | ||||
\(41\) | 1.62483e11i | 0.834300i | 0.908838 | + | 0.417150i | \(0.136971\pi\) | ||||
−0.908838 | + | 0.417150i | \(0.863029\pi\) | |||||||
\(42\) | 5.57796e9 | − | 3.15078e9i | 0.0241953 | − | 0.0136670i | ||||
\(43\) | 1.13971e11 | + | 1.13971e11i | 0.419290 | + | 0.419290i | 0.884959 | − | 0.465669i | \(-0.154186\pi\) |
−0.465669 | + | 0.884959i | \(0.654186\pi\) | |||||||
\(44\) | −1.28711e11 | − | 5.19283e11i | −0.403133 | − | 1.62643i | ||||
\(45\) | −2.26962e10 | − | 2.26962e10i | −0.0607387 | − | 0.0607387i | ||||
\(46\) | −7.97296e11 | − | 2.21702e11i | −1.82942 | − | 0.508703i | ||||
\(47\) | 8.90402e10i | 0.175752i | 0.996131 | + | 0.0878761i | \(0.0280080\pi\) | ||||
−0.996131 | + | 0.0878761i | \(0.971992\pi\) | |||||||
\(48\) | −1.42049e10 | − | 4.38574e9i | −0.0241963 | − | 0.00747057i | ||||
\(49\) | 1.38474e11 | 0.204172 | ||||||||
\(50\) | 2.07753e11 | − | 7.47131e11i | 0.265924 | − | 0.956328i | ||||
\(51\) | −1.76450e10 | + | 1.76450e10i | −0.0196622 | + | 0.0196622i | ||||
\(52\) | −1.01618e11 | − | 4.09976e11i | −0.0988434 | − | 0.398781i | ||||
\(53\) | −8.04400e11 | + | 8.04400e11i | −0.684764 | + | 0.684764i | −0.961070 | − | 0.276306i | \(-0.910890\pi\) |
0.276306 | + | 0.961070i | \(0.410890\pi\) | |||||||
\(54\) | 3.33408e10 | + | 5.90246e10i | 0.0249012 | + | 0.0440836i | ||||
\(55\) | 2.19270e11 | 0.144026 | ||||||||
\(56\) | −1.30174e12 | − | 1.37744e12i | −0.753716 | − | 0.797549i | ||||
\(57\) | − | 7.10011e10i | − | 0.0363196i | ||||||
\(58\) | −5.40646e11 | − | 9.57127e11i | −0.244859 | − | 0.433485i | ||||
\(59\) | 1.77186e12 | + | 1.77186e12i | 0.711977 | + | 0.711977i | 0.966949 | − | 0.254971i | \(-0.0820660\pi\) |
−0.254971 | + | 0.966949i | \(0.582066\pi\) | |||||||
\(60\) | 3.14537e9 | − | 5.21847e9i | 0.00112360 | − | 0.00186416i | ||||
\(61\) | 3.42607e12 | + | 3.42607e12i | 1.09015 | + | 1.09015i | 0.995511 | + | 0.0946424i | \(0.0301708\pi\) |
0.0946424 | + | 0.995511i | \(0.469829\pi\) | |||||||
\(62\) | 8.10596e11 | − | 2.91511e12i | 0.230177 | − | 0.827776i | ||||
\(63\) | 4.31966e12i | 1.09664i | ||||||||
\(64\) | −2.48345e11 | + | 4.39103e12i | −0.0564670 | + | 0.998404i | ||||
\(65\) | 1.73115e11 | 0.0353135 | ||||||||
\(66\) | −2.23016e11 | − | 6.20136e10i | −0.0408817 | − | 0.0113679i | ||||
\(67\) | 5.72229e11 | − | 5.72229e11i | 0.0944161 | − | 0.0944161i | −0.658321 | − | 0.752737i | \(-0.728733\pi\) |
0.752737 | + | 0.658321i | \(0.228733\pi\) | |||||||
\(68\) | 6.32257e12 | + | 3.81086e12i | 0.940441 | + | 0.566841i | ||||
\(69\) | −2.53184e11 | + | 2.53184e11i | −0.0340010 | + | 0.0340010i | ||||
\(70\) | 6.76325e11 | − | 3.82031e11i | 0.0821239 | − | 0.0463887i | ||||
\(71\) | 9.89607e12 | 1.08806 | 0.544032 | − | 0.839065i | \(-0.316897\pi\) | ||||
0.544032 | + | 0.839065i | \(0.316897\pi\) | |||||||
\(72\) | 7.28554e12 | − | 6.88513e12i | 0.726331 | − | 0.686412i | ||||
\(73\) | 1.28723e13i | 1.16519i | 0.812763 | + | 0.582594i | \(0.197962\pi\) | ||||
−0.812763 | + | 0.582594i | \(0.802038\pi\) | |||||||
\(74\) | −3.74108e12 | + | 2.11319e12i | −0.307875 | + | 0.173907i | ||||
\(75\) | −2.37254e11 | − | 2.37254e11i | −0.0177740 | − | 0.0177740i | ||||
\(76\) | −2.03877e13 | + | 5.05338e12i | −1.39211 | + | 0.345054i | ||||
\(77\) | −2.08663e13 | − | 2.08663e13i | −1.30020 | − | 1.30020i | ||||
\(78\) | −1.76072e11 | − | 4.89600e10i | −0.0100237 | − | 0.00278727i | ||||
\(79\) | − | 1.87270e13i | − | 0.975167i | −0.873076 | − | 0.487583i | \(-0.837878\pi\) | ||
0.873076 | − | 0.487583i | \(-0.162122\pi\) | |||||||
\(80\) | −1.72233e12 | − | 5.31769e11i | −0.0821273 | − | 0.0253567i | ||||
\(81\) | −2.28328e13 | −0.998077 | ||||||||
\(82\) | 5.57181e12 | − | 2.00376e13i | 0.223511 | − | 0.803803i | ||||
\(83\) | 7.23420e12 | − | 7.23420e12i | 0.266590 | − | 0.266590i | −0.561135 | − | 0.827725i | \(-0.689635\pi\) |
0.827725 | + | 0.561135i | \(0.189635\pi\) | |||||||
\(84\) | −7.95925e11 | + | 1.97281e11i | −0.0269722 | + | 0.00668544i | ||||
\(85\) | −2.13945e12 | + | 2.13945e12i | −0.0667376 | + | 0.0667376i | ||||
\(86\) | −1.01468e13 | − | 1.79633e13i | −0.291634 | − | 0.516292i | ||||
\(87\) | −4.75622e11 | −0.0126075 | ||||||||
\(88\) | −1.93419e12 | + | 6.84522e13i | −0.0473282 | + | 1.67498i | ||||
\(89\) | − | 6.10488e13i | − | 1.38022i | −0.723707 | − | 0.690108i | \(-0.757563\pi\) | ||
0.723707 | − | 0.690108i | \(-0.242437\pi\) | |||||||
\(90\) | 2.02063e12 | + | 3.57721e12i | 0.0422464 | + | 0.0747905i | ||||
\(91\) | −1.64741e13 | − | 1.64741e13i | −0.318795 | − | 0.318795i | ||||
\(92\) | 9.07209e13 | + | 5.46810e13i | 1.62627 | + | 0.980216i | ||||
\(93\) | −9.25702e11 | − | 9.25702e11i | −0.0153848 | − | 0.0153848i | ||||
\(94\) | 3.05333e12 | − | 1.09805e13i | 0.0470845 | − | 0.169328i | ||||
\(95\) | − | 8.60885e12i | − | 0.123276i | ||||||
\(96\) | 1.60136e12 | + | 1.02796e12i | 0.0213104 | + | 0.0136797i | ||||
\(97\) | −6.70407e13 | −0.829730 | −0.414865 | − | 0.909883i | \(-0.636171\pi\) | ||||
−0.414865 | + | 0.909883i | \(0.636171\pi\) | |||||||
\(98\) | −1.70768e13 | − | 4.74849e12i | −0.196708 | − | 0.0546982i | ||||
\(99\) | 1.10366e14 | − | 1.10366e14i | 1.18410 | − | 1.18410i | ||||
\(100\) | −5.12406e13 | + | 8.50129e13i | −0.512406 | + | 0.850129i | ||||
\(101\) | −1.22072e14 | + | 1.22072e14i | −1.13859 | + | 1.13859i | −0.149882 | + | 0.988704i | \(0.547889\pi\) |
−0.988704 | + | 0.149882i | \(0.952111\pi\) | |||||||
\(102\) | 2.78108e12 | − | 1.57093e12i | 0.0242110 | − | 0.0136759i | ||||
\(103\) | 8.98908e13 | 0.730895 | 0.365447 | − | 0.930832i | \(-0.380916\pi\) | ||||
0.365447 | + | 0.930832i | \(0.380916\pi\) | |||||||
\(104\) | −1.52705e12 | + | 5.40433e13i | −0.0116043 | + | 0.410685i | ||||
\(105\) | − | 3.36084e11i | − | 0.00238849i | ||||||
\(106\) | 1.26784e14 | − | 7.16154e13i | 0.843183 | − | 0.476283i | ||||
\(107\) | 1.29842e14 | + | 1.29842e14i | 0.808590 | + | 0.808590i | 0.984420 | − | 0.175831i | \(-0.0562611\pi\) |
−0.175831 | + | 0.984420i | \(0.556261\pi\) | |||||||
\(108\) | −2.08758e12 | − | 8.42228e12i | −0.0121808 | − | 0.0491432i | ||||
\(109\) | −1.39650e14 | − | 1.39650e14i | −0.763932 | − | 0.763932i | 0.213098 | − | 0.977031i | \(-0.431645\pi\) |
−0.977031 | + | 0.213098i | \(0.931645\pi\) | |||||||
\(110\) | −2.70407e13 | − | 7.51912e12i | −0.138761 | − | 0.0385850i | ||||
\(111\) | 1.85904e12i | 0.00895423i | ||||||||
\(112\) | 1.13297e14 | + | 2.14506e14i | 0.512499 | + | 0.970318i | ||||
\(113\) | −9.17898e13 | −0.390162 | −0.195081 | − | 0.980787i | \(-0.562497\pi\) | ||||
−0.195081 | + | 0.980787i | \(0.562497\pi\) | |||||||
\(114\) | −2.43474e12 | + | 8.75593e12i | −0.00973012 | + | 0.0349920i | ||||
\(115\) | −3.06984e13 | + | 3.06984e13i | −0.115407 | + | 0.115407i | ||||
\(116\) | 3.38516e13 | + | 1.36574e14i | 0.119777 | + | 0.483238i | ||||
\(117\) | 8.71343e13 | − | 8.71343e13i | 0.290327 | − | 0.290327i | ||||
\(118\) | −1.57748e14 | − | 2.79268e14i | −0.495211 | − | 0.876692i | ||||
\(119\) | 4.07192e14 | 1.20495 | ||||||||
\(120\) | −5.66840e11 | + | 5.35687e11i | −0.00158195 | + | 0.00149500i | ||||
\(121\) | 6.86506e14i | 1.80779i | ||||||||
\(122\) | −3.05022e14 | − | 5.39992e14i | −0.758249 | − | 1.34236i | ||||
\(123\) | −6.36301e12 | − | 6.36301e12i | −0.0149392 | − | 0.0149392i | ||||
\(124\) | −1.99927e14 | + | 3.31698e14i | −0.443527 | + | 0.735852i | ||||
\(125\) | −5.77480e13 | − | 5.77480e13i | −0.121106 | − | 0.121106i | ||||
\(126\) | 1.48128e14 | − | 5.32705e14i | 0.293794 | − | 1.05656i | ||||
\(127\) | 3.37858e14i | 0.634028i | 0.948421 | + | 0.317014i | \(0.102680\pi\) | ||||
−0.948421 | + | 0.317014i | \(0.897320\pi\) | |||||||
\(128\) | 1.81201e14 | − | 5.32990e14i | 0.321878 | − | 0.946781i | ||||
\(129\) | −8.92643e12 | −0.0150158 | ||||||||
\(130\) | −2.13487e13 | − | 5.93638e12i | −0.0340227 | − | 0.00946059i | ||||
\(131\) | 4.60482e14 | − | 4.60482e14i | 0.695527 | − | 0.695527i | −0.267915 | − | 0.963442i | \(-0.586335\pi\) |
0.963442 | + | 0.267915i | \(0.0863348\pi\) | |||||||
\(132\) | 2.53761e13 | + | 1.52952e13i | 0.0363418 | + | 0.0219047i | ||||
\(133\) | −8.19241e14 | + | 8.19241e14i | −1.11288 | + | 1.11288i | ||||
\(134\) | −9.01904e13 | + | 5.09452e13i | −0.116259 | + | 0.0656704i | ||||
\(135\) | 3.55636e12 | 0.00435181 | ||||||||
\(136\) | −6.49026e14 | − | 6.86771e14i | −0.754206 | − | 0.798067i | ||||
\(137\) | − | 1.28399e15i | − | 1.41748i | −0.705469 | − | 0.708741i | \(-0.749263\pi\) | ||
0.705469 | − | 0.708741i | \(-0.250737\pi\) | |||||||
\(138\) | 3.99049e13 | − | 2.25408e13i | 0.0418671 | − | 0.0236492i | ||||
\(139\) | 7.22475e13 | + | 7.22475e13i | 0.0720641 | + | 0.0720641i | 0.742220 | − | 0.670156i | \(-0.233773\pi\) |
−0.670156 | + | 0.742220i | \(0.733773\pi\) | |||||||
\(140\) | −9.65056e13 | + | 2.39202e13i | −0.0915496 | + | 0.0226918i | ||||
\(141\) | −3.48690e12 | − | 3.48690e12i | −0.00314707 | − | 0.00314707i | ||||
\(142\) | −1.22039e15 | − | 3.39352e14i | −1.04829 | − | 0.291495i | ||||
\(143\) | 8.41814e14i | 0.688436i | ||||||||
\(144\) | −1.13456e15 | + | 5.99250e14i | −0.883672 | + | 0.466735i | ||||
\(145\) | −5.76690e13 | −0.0427924 | ||||||||
\(146\) | 4.41411e14 | − | 1.58743e15i | 0.312157 | − | 1.12260i | ||||
\(147\) | −5.42278e12 | + | 5.42278e12i | −0.00365595 | + | 0.00365595i | ||||
\(148\) | 5.33818e14 | − | 1.32314e14i | 0.343211 | − | 0.0850696i | ||||
\(149\) | 1.23877e14 | − | 1.23877e14i | 0.0759776 | − | 0.0759776i | −0.668097 | − | 0.744074i | \(-0.732891\pi\) |
0.744074 | + | 0.668097i | \(0.232891\pi\) | |||||||
\(150\) | 2.11226e13 | + | 3.73942e13i | 0.0123626 | + | 0.0218860i | ||||
\(151\) | 2.55415e14 | 0.142695 | 0.0713473 | − | 0.997452i | \(-0.477270\pi\) | ||||
0.0713473 | + | 0.997452i | \(0.477270\pi\) | |||||||
\(152\) | 2.68753e15 | + | 7.59389e13i | 1.43366 | + | 0.0405097i | ||||
\(153\) | 2.15371e15i | 1.09736i | ||||||||
\(154\) | 1.85772e15 | + | 3.28880e15i | 0.904347 | + | 1.60100i | ||||
\(155\) | −1.12241e14 | − | 1.12241e14i | −0.0522191 | − | 0.0522191i | ||||
\(156\) | 2.00345e13 | + | 1.20756e13i | 0.00891060 | + | 0.00537077i | ||||
\(157\) | −3.83432e14 | − | 3.83432e14i | −0.163076 | − | 0.163076i | 0.620852 | − | 0.783928i | \(-0.286787\pi\) |
−0.783928 | + | 0.620852i | \(0.786787\pi\) | |||||||
\(158\) | −6.42178e14 | + | 2.30944e15i | −0.261250 | + | 0.939521i | ||||
\(159\) | − | 6.30022e13i | − | 0.0245231i | ||||||
\(160\) | 1.94165e14 | + | 1.24640e14i | 0.0723320 | + | 0.0464320i | ||||
\(161\) | 5.84269e15 | 2.08368 | ||||||||
\(162\) | 2.81576e15 | + | 7.82972e14i | 0.961593 | + | 0.267387i | ||||
\(163\) | 9.41783e14 | − | 9.41783e14i | 0.308062 | − | 0.308062i | −0.536096 | − | 0.844157i | \(-0.680101\pi\) |
0.844157 | + | 0.536096i | \(0.180101\pi\) | |||||||
\(164\) | −1.37424e15 | + | 2.28000e15i | −0.430682 | + | 0.714541i | ||||
\(165\) | −8.58684e12 | + | 8.58684e12i | −0.00257897 | + | 0.00257897i | ||||
\(166\) | −1.14020e15 | + | 6.44057e14i | −0.328265 | + | 0.185425i | ||||
\(167\) | −5.42408e15 | −1.49731 | −0.748654 | − | 0.662961i | \(-0.769299\pi\) | ||||
−0.748654 | + | 0.662961i | \(0.769299\pi\) | |||||||
\(168\) | 1.04919e14 | + | 2.96461e12i | 0.0277774 | + | 0.000784879i | ||||
\(169\) | − | 3.27276e15i | − | 0.831204i | ||||||
\(170\) | 3.37205e14 | − | 1.90475e14i | 0.0821772 | − | 0.0464189i | ||||
\(171\) | −4.33311e15 | − | 4.33311e15i | −1.01351 | − | 1.01351i | ||||
\(172\) | 6.35323e14 | + | 2.56320e15i | 0.142658 | + | 0.575550i | ||||
\(173\) | −4.00646e15 | − | 4.00646e15i | −0.863851 | − | 0.863851i | 0.127932 | − | 0.991783i | \(-0.459166\pi\) |
−0.991783 | + | 0.127932i | \(0.959166\pi\) | |||||||
\(174\) | 5.86543e13 | + | 1.63098e13i | 0.0121466 | + | 0.00337757i | ||||
\(175\) | 5.47508e15i | 1.08924i | ||||||||
\(176\) | 2.58586e15 | − | 8.37527e15i | 0.494329 | − | 1.60107i | ||||
\(177\) | −1.38776e14 | −0.0254977 | ||||||||
\(178\) | −2.09346e15 | + | 7.52860e15i | −0.369763 | + | 1.32976i | ||||
\(179\) | 1.17263e15 | − | 1.17263e15i | 0.199154 | − | 0.199154i | −0.600483 | − | 0.799637i | \(-0.705025\pi\) |
0.799637 | + | 0.600483i | \(0.205025\pi\) | |||||||
\(180\) | −1.26518e14 | − | 5.10436e14i | −0.0206655 | − | 0.0833745i | ||||
\(181\) | 3.60950e15 | − | 3.60950e15i | 0.567148 | − | 0.567148i | −0.364180 | − | 0.931329i | \(-0.618651\pi\) |
0.931329 | + | 0.364180i | \(0.118651\pi\) | |||||||
\(182\) | 1.46668e15 | + | 2.59652e15i | 0.221735 | + | 0.392547i | ||||
\(183\) | −2.68337e14 | −0.0390412 | ||||||||
\(184\) | −9.31270e15 | − | 9.85428e15i | −1.30422 | − | 1.38007i | ||||
\(185\) | 2.25408e14i | 0.0303926i | ||||||||
\(186\) | 8.24148e13 | + | 1.45902e14i | 0.0107008 | + | 0.0189440i | ||||
\(187\) | −1.04036e16 | − | 1.04036e16i | −1.30105 | − | 1.30105i | ||||
\(188\) | −7.53079e14 | + | 1.24943e15i | −0.0907268 | + | 0.150524i | ||||
\(189\) | −3.38433e14 | − | 3.38433e14i | −0.0392862 | − | 0.0392862i | ||||
\(190\) | −2.95211e14 | + | 1.06165e15i | −0.0330261 | + | 0.118770i | ||||
\(191\) | 1.11969e15i | 0.120744i | 0.998176 | + | 0.0603719i | \(0.0192287\pi\) | ||||
−0.998176 | + | 0.0603719i | \(0.980771\pi\) | |||||||
\(192\) | −1.62232e14 | − | 1.81682e14i | −0.0168666 | − | 0.0188888i | ||||
\(193\) | 1.53754e16 | 1.54143 | 0.770716 | − | 0.637178i | \(-0.219899\pi\) | ||||
0.770716 | + | 0.637178i | \(0.219899\pi\) | |||||||
\(194\) | 8.26754e15 | + | 2.29893e15i | 0.799400 | + | 0.222287i | ||||
\(195\) | −6.77935e12 | + | 6.77935e12i | −0.000632333 | + | 0.000632333i | ||||
\(196\) | 1.94309e15 | + | 1.17118e15i | 0.174864 | + | 0.105397i | ||||
\(197\) | −8.74344e15 | + | 8.74344e15i | −0.759310 | + | 0.759310i | −0.976197 | − | 0.216887i | \(-0.930410\pi\) |
0.216887 | + | 0.976197i | \(0.430410\pi\) | |||||||
\(198\) | −1.73951e16 | + | 9.82582e15i | −1.45804 | + | 0.823593i | ||||
\(199\) | −8.24859e15 | −0.667433 | −0.333717 | − | 0.942673i | \(-0.608303\pi\) | ||||
−0.333717 | + | 0.942673i | \(0.608303\pi\) | |||||||
\(200\) | 9.23427e15 | − | 8.72676e15i | 0.721427 | − | 0.681778i | ||||
\(201\) | 4.48181e13i | 0.00338128i | ||||||||
\(202\) | 1.92401e16 | − | 1.08680e16i | 1.40200 | − | 0.791935i | ||||
\(203\) | 5.48794e15 | + | 5.48794e15i | 0.386311 | + | 0.386311i | ||||
\(204\) | −3.96836e14 | + | 9.83611e13i | −0.0269898 | + | 0.00668979i | ||||
\(205\) | −7.71513e14 | − | 7.71513e14i | −0.0507068 | − | 0.0507068i | ||||
\(206\) | −1.10854e16 | − | 3.08250e15i | −0.704177 | − | 0.195809i | ||||
\(207\) | 3.09030e16i | 1.89762i | ||||||||
\(208\) | 2.04155e15 | − | 6.61231e15i | 0.121204 | − | 0.392564i | ||||
\(209\) | 4.18627e16 | 2.40327 | ||||||||
\(210\) | −1.15249e13 | + | 4.14463e13i | −0.000639883 | + | 0.00230118i | ||||
\(211\) | 3.54377e14 | − | 3.54377e14i | 0.0190322 | − | 0.0190322i | −0.697527 | − | 0.716559i | \(-0.745716\pi\) |
0.716559 | + | 0.697527i | \(0.245716\pi\) | |||||||
\(212\) | −1.80909e16 | + | 4.48408e15i | −0.939959 | + | 0.232982i | ||||
\(213\) | −3.87540e14 | + | 3.87540e14i | −0.0194831 | + | 0.0194831i | ||||
\(214\) | −1.15598e16 | − | 2.04647e16i | −0.562409 | − | 0.995656i | ||||
\(215\) | −1.08233e15 | −0.0509670 | ||||||||
\(216\) | −3.13708e13 | + | 1.11023e15i | −0.00143004 | + | 0.0506101i | ||||
\(217\) | 2.13623e16i | 0.942822i | ||||||||
\(218\) | 1.24330e16 | + | 2.20106e16i | 0.531348 | + | 0.940667i | ||||
\(219\) | −5.04092e14 | − | 5.04092e14i | −0.0208642 | − | 0.0208642i | ||||
\(220\) | 3.07684e15 | + | 1.85453e15i | 0.123352 | + | 0.0743491i | ||||
\(221\) | −8.21370e15 | − | 8.21370e15i | −0.319002 | − | 0.319002i | ||||
\(222\) | 6.37494e13 | − | 2.29259e14i | 0.00239886 | − | 0.00862692i | ||||
\(223\) | 2.41605e16i | 0.880991i | 0.897755 | + | 0.440495i | \(0.145197\pi\) | ||||
−0.897755 | + | 0.440495i | \(0.854803\pi\) | |||||||
\(224\) | −6.61618e15 | − | 3.03383e16i | −0.233814 | − | 1.07215i | ||||
\(225\) | −2.89587e16 | −0.991976 | ||||||||
\(226\) | 1.13196e16 | + | 3.14761e15i | 0.375900 | + | 0.104526i | ||||
\(227\) | 4.30535e16 | − | 4.30535e16i | 1.38620 | − | 1.38620i | 0.553067 | − | 0.833136i | \(-0.313457\pi\) |
0.833136 | − | 0.553067i | \(-0.186543\pi\) | |||||||
\(228\) | 6.00509e14 | − | 9.96300e14i | 0.0187489 | − | 0.0311061i | ||||
\(229\) | −3.33270e16 | + | 3.33270e16i | −1.00913 | + | 1.00913i | −0.00917251 | + | 0.999958i | \(0.502920\pi\) |
−0.999958 | + | 0.00917251i | \(0.997080\pi\) | |||||||
\(230\) | 4.83846e15 | − | 2.73307e15i | 0.142106 | − | 0.0802704i | ||||
\(231\) | 1.63429e15 | 0.0465636 | ||||||||
\(232\) | 5.08700e14 | − | 1.80032e16i | 0.0140620 | − | 0.497662i | ||||
\(233\) | − | 7.81007e15i | − | 0.209490i | −0.994499 | − | 0.104745i | \(-0.966597\pi\) | ||
0.994499 | − | 0.104745i | \(-0.0334027\pi\) | |||||||
\(234\) | −1.37335e16 | + | 7.75753e15i | −0.357494 | + | 0.201935i | ||||
\(235\) | −4.22785e14 | − | 4.22785e14i | −0.0106818 | − | 0.0106818i | ||||
\(236\) | 9.87714e15 | + | 3.98491e16i | 0.242241 | + | 0.977314i | ||||
\(237\) | 7.33369e14 | + | 7.33369e14i | 0.0174616 | + | 0.0174616i | ||||
\(238\) | −5.02154e16 | − | 1.39633e16i | −1.16091 | − | 0.322811i | ||||
\(239\) | 2.40145e16i | 0.539124i | 0.962983 | + | 0.269562i | \(0.0868788\pi\) | ||||
−0.962983 | + | 0.269562i | \(0.913121\pi\) | |||||||
\(240\) | 8.82729e13 | − | 4.66237e13i | 0.00192464 | − | 0.00101655i | ||||
\(241\) | 7.06961e16 | 1.49719 | 0.748594 | − | 0.663029i | \(-0.230729\pi\) | ||||
0.748594 | + | 0.663029i | \(0.230729\pi\) | |||||||
\(242\) | 2.35414e16 | − | 8.46607e16i | 0.484311 | − | 1.74170i | ||||
\(243\) | 2.68534e15 | − | 2.68534e15i | 0.0536729 | − | 0.0536729i | ||||
\(244\) | 1.90984e16 | + | 7.70521e16i | 0.370910 | + | 1.49643i | ||||
\(245\) | −6.57510e14 | + | 6.57510e14i | −0.0124091 | + | 0.0124091i | ||||
\(246\) | 5.66496e14 | + | 1.00289e15i | 0.0103909 | + | 0.0183954i | ||||
\(247\) | 3.30508e16 | 0.589254 | ||||||||
\(248\) | 3.60297e16 | − | 3.40495e16i | 0.624451 | − | 0.590132i | ||||
\(249\) | 5.66597e14i | 0.00954726i | ||||||||
\(250\) | 5.14128e15 | + | 9.10181e15i | 0.0842347 | + | 0.149124i | ||||
\(251\) | −7.40218e16 | − | 7.40218e16i | −1.17935 | − | 1.17935i | −0.979909 | − | 0.199444i | \(-0.936086\pi\) |
−0.199444 | − | 0.979909i | \(-0.563914\pi\) | |||||||
\(252\) | −3.65346e16 | + | 6.06142e16i | −0.566109 | + | 0.939227i | ||||
\(253\) | −1.49279e17 | − | 1.49279e17i | −2.24985 | − | 2.24985i | ||||
\(254\) | 1.15857e16 | − | 4.16651e16i | 0.169858 | − | 0.610852i | ||||
\(255\) | − | 1.67566e14i | − | 0.00239004i | ||||||
\(256\) | −4.06230e16 | + | 5.95153e16i | −0.563758 | + | 0.825940i | ||||
\(257\) | −7.54711e16 | −1.01917 | −0.509587 | − | 0.860419i | \(-0.670202\pi\) | ||||
−0.509587 | + | 0.860419i | \(0.670202\pi\) | |||||||
\(258\) | 1.10082e15 | + | 3.06101e14i | 0.0144670 | + | 0.00402279i | ||||
\(259\) | 2.14504e16 | − | 2.14504e16i | 0.274371 | − | 0.274371i | ||||
\(260\) | 2.42918e15 | + | 1.46416e15i | 0.0302445 | + | 0.0182295i | ||||
\(261\) | −2.90267e16 | + | 2.90267e16i | −0.351815 | + | 0.351815i | ||||
\(262\) | −7.25779e16 | + | 4.09965e16i | −0.856436 | + | 0.483769i | ||||
\(263\) | 8.42605e16 | 0.968130 | 0.484065 | − | 0.875032i | \(-0.339160\pi\) | ||||
0.484065 | + | 0.875032i | \(0.339160\pi\) | |||||||
\(264\) | −2.60491e15 | − | 2.75640e15i | −0.0291451 | − | 0.0308400i | ||||
\(265\) | − | 7.63899e15i | − | 0.0832367i | ||||||
\(266\) | 1.29123e17 | − | 7.29366e16i | 1.37035 | − | 0.774059i | ||||
\(267\) | 2.39073e15 | + | 2.39073e15i | 0.0247145 | + | 0.0247145i | ||||
\(268\) | 1.28694e16 | − | 3.18985e15i | 0.129603 | − | 0.0321238i | ||||
\(269\) | 4.03998e16 | + | 4.03998e16i | 0.396381 | + | 0.396381i | 0.876955 | − | 0.480573i | \(-0.159571\pi\) |
−0.480573 | + | 0.876955i | \(0.659571\pi\) | |||||||
\(270\) | −4.38575e14 | − | 1.21953e14i | −0.00419273 | − | 0.00116586i | ||||
\(271\) | − | 4.38374e16i | − | 0.408375i | −0.978932 | − | 0.204188i | \(-0.934545\pi\) | ||
0.978932 | − | 0.204188i | \(-0.0654553\pi\) | |||||||
\(272\) | 5.64882e16 | + | 1.06949e17i | 0.512832 | + | 0.970948i | ||||
\(273\) | 1.29028e15 | 0.0114168 | ||||||||
\(274\) | −4.40300e16 | + | 1.58343e17i | −0.379747 | + | 1.36567i | ||||
\(275\) | 1.39886e17 | − | 1.39886e17i | 1.17611 | − | 1.17611i | ||||
\(276\) | −5.69408e15 | + | 1.41136e15i | −0.0466724 | + | 0.0115684i | ||||
\(277\) | −1.05147e17 | + | 1.05147e17i | −0.840311 | + | 0.840311i | −0.988899 | − | 0.148588i | \(-0.952527\pi\) |
0.148588 | + | 0.988899i | \(0.452527\pi\) | |||||||
\(278\) | −6.43216e15 | − | 1.13871e16i | −0.0501237 | − | 0.0887361i | ||||
\(279\) | −1.12989e17 | −0.858632 | ||||||||
\(280\) | 1.27214e16 | + | 3.59458e14i | 0.0942823 | + | 0.00266405i | ||||
\(281\) | − | 2.35687e16i | − | 0.170369i | −0.996365 | − | 0.0851845i | \(-0.972852\pi\) | ||
0.996365 | − | 0.0851845i | \(-0.0271480\pi\) | |||||||
\(282\) | 3.10437e14 | + | 5.49580e14i | 0.00218892 | + | 0.00387514i | ||||
\(283\) | 1.71729e17 | + | 1.71729e17i | 1.18124 | + | 1.18124i | 0.979424 | + | 0.201815i | \(0.0646841\pi\) |
0.201815 | + | 0.979424i | \(0.435316\pi\) | |||||||
\(284\) | 1.38863e17 | + | 8.36984e16i | 0.931879 | + | 0.561680i | ||||
\(285\) | 3.37131e14 | + | 3.37131e14i | 0.00220742 | + | 0.00220742i | ||||
\(286\) | 2.88671e16 | − | 1.03813e17i | 0.184434 | − | 0.663271i | ||||
\(287\) | 1.46838e17i | 0.915517i | ||||||||
\(288\) | 1.60465e17 | − | 3.49942e16i | 0.976410 | − | 0.212936i | ||||
\(289\) | 3.46417e16 | 0.205738 | ||||||||
\(290\) | 7.11181e15 | + | 1.97756e15i | 0.0412282 | + | 0.0114642i | ||||
\(291\) | 2.62538e15 | − | 2.62538e15i | 0.0148574 | − | 0.0148574i | ||||
\(292\) | −1.08871e17 | + | 1.80626e17i | −0.601493 | + | 0.997932i | ||||
\(293\) | 1.00156e17 | − | 1.00156e17i | 0.540261 | − | 0.540261i | −0.383345 | − | 0.923605i | \(-0.625228\pi\) |
0.923605 | + | 0.383345i | \(0.125228\pi\) | |||||||
\(294\) | 8.54699e14 | − | 4.82788e14i | 0.00450175 | − | 0.00254287i | ||||
\(295\) | −1.68265e16 | −0.0865447 | ||||||||
\(296\) | −7.03683e16 | − | 1.98833e15i | −0.353456 | − | 0.00998727i | ||||
\(297\) | 1.72937e16i | 0.0848384i | ||||||||
\(298\) | −1.95245e16 | + | 1.10287e16i | −0.0935549 | + | 0.0528457i | ||||
\(299\) | −1.17856e17 | − | 1.17856e17i | −0.551638 | − | 0.551638i | ||||
\(300\) | −1.32256e15 | − | 5.33582e15i | −0.00604735 | − | 0.0243979i | ||||
\(301\) | 1.02997e17 | + | 1.02997e17i | 0.460107 | + | 0.460107i | ||||
\(302\) | −3.14980e16 | − | 8.75857e15i | −0.137479 | − | 0.0382283i | ||||
\(303\) | − | 9.56090e15i | − | 0.0407756i | ||||||
\(304\) | −3.28825e17 | − | 1.01524e17i | −1.37041 | − | 0.423112i | ||||
\(305\) | −3.25357e16 | −0.132514 | ||||||||
\(306\) | 7.38542e16 | − | 2.65598e17i | 0.293985 | − | 1.05724i | ||||
\(307\) | −1.88871e17 | + | 1.88871e17i | −0.734846 | + | 0.734846i | −0.971575 | − | 0.236730i | \(-0.923924\pi\) |
0.236730 | + | 0.971575i | \(0.423924\pi\) | |||||||
\(308\) | −1.16318e17 | − | 4.69282e17i | −0.442377 | − | 1.78476i | ||||
\(309\) | −3.52021e15 | + | 3.52021e15i | −0.0130876 | + | 0.0130876i | ||||
\(310\) | 9.99276e15 | + | 1.76906e16i | 0.0363207 | + | 0.0643000i | ||||
\(311\) | 1.92728e17 | 0.684891 | 0.342446 | − | 0.939538i | \(-0.388745\pi\) | ||||
0.342446 | + | 0.939538i | \(0.388745\pi\) | |||||||
\(312\) | −2.05659e15 | − | 2.17619e15i | −0.00714604 | − | 0.00756162i | ||||
\(313\) | 9.92047e16i | 0.337071i | 0.985696 | + | 0.168536i | \(0.0539038\pi\) | ||||
−0.985696 | + | 0.168536i | \(0.946096\pi\) | |||||||
\(314\) | 3.41368e16 | + | 6.04337e16i | 0.113427 | + | 0.200804i | ||||
\(315\) | −2.05108e16 | − | 2.05108e16i | −0.0666515 | − | 0.0666515i | ||||
\(316\) | 1.58388e17 | − | 2.62781e17i | 0.503400 | − | 0.835188i | ||||
\(317\) | 2.94609e16 | + | 2.94609e16i | 0.0915865 | + | 0.0915865i | 0.751416 | − | 0.659829i | \(-0.229371\pi\) |
−0.659829 | + | 0.751416i | \(0.729371\pi\) | |||||||
\(318\) | −2.16044e15 | + | 7.76950e15i | −0.00656981 | + | 0.0236267i | ||||
\(319\) | − | 2.80430e17i | − | 0.834237i | ||||||
\(320\) | −1.96705e16 | − | 2.20289e16i | −0.0572488 | − | 0.0641126i | ||||
\(321\) | −1.01695e16 | −0.0289576 | ||||||||
\(322\) | −7.20526e17 | − | 2.00355e17i | −2.00751 | − | 0.558224i | ||||
\(323\) | −4.08460e17 | + | 4.08460e17i | −1.11361 | + | 1.11361i | ||||
\(324\) | −3.20394e17 | − | 1.93114e17i | −0.854809 | − | 0.515227i | ||||
\(325\) | 1.10441e17 | − | 1.10441e17i | 0.288367 | − | 0.288367i | ||||
\(326\) | −1.48437e17 | + | 8.38465e16i | −0.379331 | + | 0.214270i | ||||
\(327\) | 1.09377e16 | 0.0273583 | ||||||||
\(328\) | 2.47658e17 | − | 2.34047e17i | 0.606366 | − | 0.573041i | ||||
\(329\) | 8.04667e16i | 0.192861i | ||||||||
\(330\) | 1.35340e15 | − | 7.64483e14i | 0.00317561 | − | 0.00179378i | ||||
\(331\) | −2.23918e16 | − | 2.23918e16i | −0.0514390 | − | 0.0514390i | 0.680919 | − | 0.732358i | \(-0.261580\pi\) |
−0.732358 | + | 0.680919i | \(0.761580\pi\) | |||||||
\(332\) | 1.62697e17 | − | 4.03266e16i | 0.365942 | − | 0.0907036i | ||||
\(333\) | 1.13455e17 | + | 1.13455e17i | 0.249870 | + | 0.249870i | ||||
\(334\) | 6.68904e17 | + | 1.86000e17i | 1.44257 | + | 0.401133i | ||||
\(335\) | 5.43417e15i | 0.0114768i | ||||||||
\(336\) | −1.28371e16 | − | 3.96345e15i | −0.0265517 | − | 0.00819782i | ||||
\(337\) | 1.72423e17 | 0.349290 | 0.174645 | − | 0.984631i | \(-0.444122\pi\) | ||||
0.174645 | + | 0.984631i | \(0.444122\pi\) | |||||||
\(338\) | −1.12228e17 | + | 4.03600e17i | −0.222682 | + | 0.800820i | ||||
\(339\) | 3.59458e15 | − | 3.59458e15i | 0.00698635 | − | 0.00698635i | ||||
\(340\) | −4.81162e16 | + | 1.19262e16i | −0.0916091 | + | 0.0227066i | ||||
\(341\) | 5.45800e17 | − | 5.45800e17i | 1.01801 | − | 1.01801i | ||||
\(342\) | 3.85775e17 | + | 6.82954e17i | 0.704939 | + | 1.24798i | ||||
\(343\) | −4.87778e17 | −0.873300 | ||||||||
\(344\) | 9.54722e15 | − | 3.37882e17i | 0.0167482 | − | 0.592729i | ||||
\(345\) | − | 2.40436e15i | − | 0.00413301i | ||||||
\(346\) | 3.56694e17 | + | 6.31470e17i | 0.600845 | + | 1.06370i | ||||
\(347\) | 4.08856e17 | + | 4.08856e17i | 0.674938 | + | 0.674938i | 0.958850 | − | 0.283912i | \(-0.0916324\pi\) |
−0.283912 | + | 0.958850i | \(0.591632\pi\) | |||||||
\(348\) | −6.67402e15 | − | 4.02269e15i | −0.0107977 | − | 0.00650822i | ||||
\(349\) | 8.60749e17 | + | 8.60749e17i | 1.36489 | + | 1.36489i | 0.867560 | + | 0.497333i | \(0.165687\pi\) |
0.497333 | + | 0.867560i | \(0.334313\pi\) | |||||||
\(350\) | 1.87749e17 | − | 6.75192e17i | 0.291811 | − | 1.04942i | ||||
\(351\) | 1.36534e16i | 0.0208014i | ||||||||
\(352\) | −6.06092e17 | + | 9.44175e17i | −0.905190 | + | 1.41011i | ||||
\(353\) | −3.76118e17 | −0.550683 | −0.275341 | − | 0.961347i | \(-0.588791\pi\) | ||||
−0.275341 | + | 0.961347i | \(0.588791\pi\) | |||||||
\(354\) | 1.71140e16 | + | 4.75884e15i | 0.0245657 | + | 0.00683091i | ||||
\(355\) | −4.69891e16 | + | 4.69891e16i | −0.0661300 | + | 0.0661300i | ||||
\(356\) | 5.16335e17 | − | 8.56647e17i | 0.712494 | − | 1.18209i | ||||
\(357\) | −1.59460e16 | + | 1.59460e16i | −0.0215762 | + | 0.0215762i | ||||
\(358\) | −1.84821e17 | + | 1.04399e17i | −0.245228 | + | 0.138520i | ||||
\(359\) | −9.81985e17 | −1.27774 | −0.638872 | − | 0.769313i | \(-0.720599\pi\) | ||||
−0.638872 | + | 0.769313i | \(0.720599\pi\) | |||||||
\(360\) | −1.90124e15 | + | 6.72860e16i | −0.00242616 | + | 0.0858632i | ||||
\(361\) | − | 8.44579e17i | − | 1.05704i | ||||||
\(362\) | −5.68902e17 | + | 3.21352e17i | −0.698357 | + | 0.394476i | ||||
\(363\) | −2.68843e16 | − | 2.68843e16i | −0.0323707 | − | 0.0323707i | ||||
\(364\) | −9.18336e16 | − | 3.70500e17i | −0.108466 | − | 0.437602i | ||||
\(365\) | −6.11210e16 | − | 6.11210e16i | −0.0708174 | − | 0.0708174i | ||||
\(366\) | 3.30916e16 | + | 9.20169e15i | 0.0376140 | + | 0.0104592i | ||||
\(367\) | − | 1.61520e18i | − | 1.80121i | −0.434639 | − | 0.900605i | \(-0.643124\pi\) | ||
0.434639 | − | 0.900605i | \(-0.356876\pi\) | |||||||
\(368\) | 8.10533e17 | + | 1.53459e18i | 0.886821 | + | 1.67902i | ||||
\(369\) | −7.76655e17 | −0.833765 | ||||||||
\(370\) | 7.72960e15 | − | 2.77976e16i | 0.00814226 | − | 0.0292816i | ||||
\(371\) | −7.26947e17 | + | 7.26947e17i | −0.751424 | + | 0.751424i | ||||
\(372\) | −5.16027e15 | − | 2.08190e16i | −0.00523445 | − | 0.0211183i | ||||
\(373\) | 8.93543e17 | − | 8.93543e17i | 0.889516 | − | 0.889516i | −0.104960 | − | 0.994476i | \(-0.533472\pi\) |
0.994476 | + | 0.104960i | \(0.0334716\pi\) | |||||||
\(374\) | 9.26230e17 | + | 1.63974e18i | 0.904935 | + | 1.60204i | ||||
\(375\) | 4.52294e15 | 0.00433712 | ||||||||
\(376\) | 1.35715e17 | − | 1.28256e17i | 0.127736 | − | 0.120716i | ||||
\(377\) | − | 2.21401e17i | − | 0.204545i | ||||||
\(378\) | 3.01305e16 | + | 5.33413e16i | 0.0273252 | + | 0.0483750i | ||||
\(379\) | −1.31979e17 | − | 1.31979e17i | −0.117498 | − | 0.117498i | 0.645913 | − | 0.763411i | \(-0.276477\pi\) |
−0.763411 | + | 0.645913i | \(0.776477\pi\) | |||||||
\(380\) | 7.28115e16 | − | 1.20801e17i | 0.0636377 | − | 0.105581i | ||||
\(381\) | −1.32309e16 | − | 1.32309e16i | −0.0113531 | − | 0.0113531i | ||||
\(382\) | 3.83960e16 | − | 1.38082e17i | 0.0323476 | − | 0.116330i | ||||
\(383\) | − | 1.07068e18i | − | 0.885665i | −0.896604 | − | 0.442832i | \(-0.853974\pi\) | ||
0.896604 | − | 0.442832i | \(-0.146026\pi\) | |||||||
\(384\) | 1.37764e16 | + | 2.79685e16i | 0.0111897 | + | 0.0227169i | ||||
\(385\) | 1.98157e17 | 0.158047 | ||||||||
\(386\) | −1.89611e18 | − | 5.27246e17i | −1.48509 | − | 0.412954i | ||||
\(387\) | −5.44770e17 | + | 5.44770e17i | −0.419021 | + | 0.419021i | ||||
\(388\) | −9.40728e17 | − | 5.67013e17i | −0.710627 | − | 0.428323i | ||||
\(389\) | −7.98073e17 | + | 7.98073e17i | −0.592101 | + | 0.592101i | −0.938198 | − | 0.346098i | \(-0.887507\pi\) |
0.346098 | + | 0.938198i | \(0.387507\pi\) | |||||||
\(390\) | 1.06851e15 | − | 6.03562e14i | 0.000778622 | − | 0.000439815i | ||||
\(391\) | 2.91307e18 | 2.08504 | ||||||||
\(392\) | −1.99463e17 | − | 2.11063e17i | −0.140236 | − | 0.148391i | ||||
\(393\) | 3.60659e16i | 0.0249086i | ||||||||
\(394\) | 1.37808e18 | − | 7.78425e17i | 0.934975 | − | 0.528133i | ||||
\(395\) | 8.89207e16 | + | 8.89207e16i | 0.0592684 | + | 0.0592684i | ||||
\(396\) | 2.48212e18 | − | 6.15227e17i | 1.62539 | − | 0.402874i | ||||
\(397\) | −6.72115e17 | − | 6.72115e17i | −0.432424 | − | 0.432424i | 0.457028 | − | 0.889452i | \(-0.348914\pi\) |
−0.889452 | + | 0.457028i | \(0.848914\pi\) | |||||||
\(398\) | 1.01722e18 | + | 2.82857e17i | 0.643036 | + | 0.178807i | ||||
\(399\) | − | 6.41646e16i | − | 0.0398552i | ||||||
\(400\) | −1.43803e18 | + | 7.59536e17i | −0.877706 | + | 0.463584i | ||||
\(401\) | −3.13463e18 | −1.88008 | −0.940039 | − | 0.341067i | \(-0.889212\pi\) | ||||
−0.940039 | + | 0.341067i | \(0.889212\pi\) | |||||||
\(402\) | 1.53688e15 | − | 5.52701e15i | 0.000905854 | − | 0.00325768i | ||||
\(403\) | 4.30911e17 | − | 4.30911e17i | 0.249604 | − | 0.249604i | ||||
\(404\) | −2.74538e18 | + | 6.80481e17i | −1.56291 | + | 0.387388i | ||||
\(405\) | 1.08416e17 | − | 1.08416e17i | 0.0606608 | − | 0.0606608i | ||||
\(406\) | −4.88588e17 | − | 8.64968e17i | −0.268696 | − | 0.475683i | ||||
\(407\) | −1.09610e18 | −0.592503 | ||||||||
\(408\) | 5.23111e16 | + | 1.47811e15i | 0.0277954 | + | 0.000785389i | ||||
\(409\) | − | 8.66344e16i | − | 0.0452509i | −0.999744 | − | 0.0226254i | \(-0.992797\pi\) | ||
0.999744 | − | 0.0226254i | \(-0.00720252\pi\) | |||||||
\(410\) | 6.86874e16 | + | 1.21600e17i | 0.0352688 | + | 0.0624378i | ||||
\(411\) | 5.02823e16 | + | 5.02823e16i | 0.0253818 | + | 0.0253818i | ||||
\(412\) | 1.26136e18 | + | 7.60273e17i | 0.625979 | + | 0.377302i | ||||
\(413\) | 1.60126e18 | + | 1.60126e18i | 0.781287 | + | 0.781287i | ||||
\(414\) | 1.05971e18 | − | 3.81099e18i | 0.508377 | − | 1.82825i | ||||
\(415\) | 6.86997e16i | 0.0324054i | ||||||||
\(416\) | −4.78512e17 | + | 7.45430e17i | −0.221942 | + | 0.345743i | ||||
\(417\) | −5.65857e15 | −0.00258080 | ||||||||
\(418\) | −5.16255e18 | − | 1.43554e18i | −2.31542 | − | 0.643843i | ||||
\(419\) | 5.71374e16 | − | 5.71374e16i | 0.0252013 | − | 0.0252013i | −0.694394 | − | 0.719595i | \(-0.744327\pi\) |
0.719595 | + | 0.694394i | \(0.244327\pi\) | |||||||
\(420\) | 2.84252e15 | − | 4.71600e15i | 0.00123298 | − | 0.00204564i | ||||
\(421\) | 2.61552e18 | − | 2.61552e18i | 1.11579 | − | 1.11579i | 0.123438 | − | 0.992352i | \(-0.460608\pi\) |
0.992352 | − | 0.123438i | \(-0.0393921\pi\) | |||||||
\(422\) | −5.58542e16 | + | 3.15500e16i | −0.0234352 | + | 0.0132377i | ||||
\(423\) | −4.25603e17 | −0.175640 | ||||||||
\(424\) | 2.38475e18 | + | 6.73838e16i | 0.968016 | + | 0.0273523i | ||||
\(425\) | 2.72979e18i | 1.08995i | ||||||||
\(426\) | 6.10812e16 | − | 3.45025e16i | 0.0239905 | − | 0.0135514i | ||||
\(427\) | 3.09619e18 | + | 3.09619e18i | 1.19628 | + | 1.19628i | ||||
\(428\) | 7.23795e17 | + | 2.92013e18i | 0.275112 | + | 1.10993i | ||||
\(429\) | −3.29663e16 | − | 3.29663e16i | −0.0123273 | − | 0.0123273i | ||||
\(430\) | 1.33474e17 | + | 3.71146e16i | 0.0491039 | + | 0.0136542i | ||||
\(431\) | 7.06557e17i | 0.255745i | 0.991791 | + | 0.127872i | \(0.0408148\pi\) | ||||
−0.991791 | + | 0.127872i | \(0.959185\pi\) | |||||||
\(432\) | 4.19402e16 | − | 1.35839e17i | 0.0149364 | − | 0.0483770i | ||||
\(433\) | −1.66868e18 | −0.584734 | −0.292367 | − | 0.956306i | \(-0.594443\pi\) | ||||
−0.292367 | + | 0.956306i | \(0.594443\pi\) | |||||||
\(434\) | 7.32546e17 | − | 2.63442e18i | 0.252585 | − | 0.908358i | ||||
\(435\) | 2.25838e15 | − | 2.25838e15i | 0.000766252 | − | 0.000766252i | ||||
\(436\) | −7.78469e17 | − | 3.14071e18i | −0.259918 | − | 1.04863i | ||||
\(437\) | −5.86089e18 | + | 5.86089e18i | −1.92572 | + | 1.92572i | ||||
\(438\) | 4.48791e16 | + | 7.94512e16i | 0.0145119 | + | 0.0256911i | ||||
\(439\) | 4.57887e18 | 1.45716 | 0.728578 | − | 0.684962i | \(-0.240181\pi\) | ||||
0.728578 | + | 0.684962i | \(0.240181\pi\) | |||||||
\(440\) | −3.15845e17 | − | 3.34213e17i | −0.0989247 | − | 0.104678i | ||||
\(441\) | 6.61892e17i | 0.204041i | ||||||||
\(442\) | 7.31262e17 | + | 1.29458e18i | 0.221880 | + | 0.392802i | ||||
\(443\) | 1.35437e18 | + | 1.35437e18i | 0.404493 | + | 0.404493i | 0.879813 | − | 0.475320i | \(-0.157668\pi\) |
−0.475320 | + | 0.879813i | \(0.657668\pi\) | |||||||
\(444\) | −1.57233e16 | + | 2.60864e16i | −0.00462235 | + | 0.00766891i | ||||
\(445\) | 2.89875e17 | + | 2.89875e17i | 0.0838863 | + | 0.0838863i | ||||
\(446\) | 8.28500e17 | − | 2.97950e18i | 0.236020 | − | 0.848787i | ||||
\(447\) | 9.70226e15i | 0.00272095i | ||||||||
\(448\) | −2.24432e17 | + | 3.96823e18i | −0.0619640 | + | 1.09560i | ||||
\(449\) | 2.92280e18 | 0.794466 | 0.397233 | − | 0.917718i | \(-0.369971\pi\) | ||||
0.397233 | + | 0.917718i | \(0.369971\pi\) | |||||||
\(450\) | 3.57121e18 | + | 9.93038e17i | 0.955715 | + | 0.265753i | ||||
\(451\) | 3.75167e18 | − | 3.75167e18i | 0.988528 | − | 0.988528i | ||||
\(452\) | −1.28801e18 | − | 7.76334e17i | −0.334157 | − | 0.201409i | ||||
\(453\) | −1.00023e16 | + | 1.00023e16i | −0.00255513 | + | 0.00255513i | ||||
\(454\) | −6.78577e18 | + | 3.83303e18i | −1.70690 | + | 0.964165i | ||||
\(455\) | 1.56446e17 | 0.0387512 | ||||||||
\(456\) | −1.08220e17 | + | 1.02272e17i | −0.0263970 | + | 0.0249462i | ||||
\(457\) | − | 2.51127e17i | − | 0.0603227i | −0.999545 | − | 0.0301613i | \(-0.990398\pi\) | ||
0.999545 | − | 0.0301613i | \(-0.00960210\pi\) | |||||||
\(458\) | 5.25275e18 | − | 2.96708e18i | 1.24259 | − | 0.701894i | ||||
\(459\) | −1.68737e17 | − | 1.68737e17i | −0.0393117 | − | 0.0393117i | ||||
\(460\) | −6.90405e17 | + | 1.71126e17i | −0.158416 | + | 0.0392656i | ||||
\(461\) | −2.28492e18 | − | 2.28492e18i | −0.516375 | − | 0.516375i | 0.400098 | − | 0.916472i | \(-0.368976\pi\) |
−0.916472 | + | 0.400098i | \(0.868976\pi\) | |||||||
\(462\) | −2.01543e17 | − | 5.60425e16i | −0.0448615 | − | 0.0124745i | ||||
\(463\) | 4.68005e18i | 1.02609i | 0.858363 | + | 0.513043i | \(0.171482\pi\) | ||||
−0.858363 | + | 0.513043i | \(0.828518\pi\) | |||||||
\(464\) | −6.80092e17 | + | 2.20273e18i | −0.146873 | + | 0.475703i | ||||
\(465\) | 8.79094e15 | 0.00187010 | ||||||||
\(466\) | −2.67820e17 | + | 9.63147e17i | −0.0561230 | + | 0.201832i | ||||
\(467\) | −2.23297e18 | + | 2.23297e18i | −0.460961 | + | 0.460961i | −0.898970 | − | 0.438010i | \(-0.855684\pi\) |
0.438010 | + | 0.898970i | \(0.355684\pi\) | |||||||
\(468\) | 1.95964e18 | − | 4.85725e17i | 0.398526 | − | 0.0987800i | ||||
\(469\) | 5.17130e17 | − | 5.17130e17i | 0.103607 | − | 0.103607i | ||||
\(470\) | 3.76404e16 | + | 6.66363e16i | 0.00742966 | + | 0.0131530i | ||||
\(471\) | 3.00312e16 | 0.00584017 | ||||||||
\(472\) | 1.48427e17 | − | 5.25293e18i | 0.0284393 | − | 1.00649i | ||||
\(473\) | − | 5.26308e18i | − | 0.993600i | ||||||
\(474\) | −6.52915e16 | − | 1.15588e17i | −0.0121453 | − | 0.0215013i | ||||
\(475\) | −5.49213e18 | − | 5.49213e18i | −1.00667 | − | 1.00667i | ||||
\(476\) | 5.71379e18 | + | 3.44393e18i | 1.03199 | + | 0.622021i | ||||
\(477\) | −3.84495e18 | − | 3.84495e18i | −0.684325 | − | 0.684325i | ||||
\(478\) | 8.23495e17 | − | 2.96149e18i | 0.144433 | − | 0.519416i | ||||
\(479\) | − | 4.94875e18i | − | 0.855356i | −0.903931 | − | 0.427678i | \(-0.859332\pi\) | ||
0.903931 | − | 0.427678i | \(-0.140668\pi\) | |||||||
\(480\) | −1.24847e16 | + | 2.72267e15i | −0.00212662 | + | 0.000463774i | ||||
\(481\) | −8.65378e17 | −0.145275 | ||||||||
\(482\) | −8.71832e18 | − | 2.42428e18i | −1.44246 | − | 0.401101i | ||||
\(483\) | −2.28805e17 | + | 2.28805e17i | −0.0373110 | + | 0.0373110i | ||||
\(484\) | −5.80629e18 | + | 9.63318e18i | −0.933214 | + | 1.54829i | ||||
\(485\) | 3.18327e17 | − | 3.18327e17i | 0.0504290 | − | 0.0504290i | ||||
\(486\) | −4.23243e17 | + | 2.39074e17i | −0.0660900 | + | 0.0373318i | ||||
\(487\) | −9.39631e18 | −1.44629 | −0.723144 | − | 0.690698i | \(-0.757304\pi\) | ||||
−0.723144 | + | 0.690698i | \(0.757304\pi\) | |||||||
\(488\) | 2.86999e17 | − | 1.01571e19i | 0.0435453 | − | 1.54110i | ||||
\(489\) | 7.37623e16i | 0.0110325i | ||||||||
\(490\) | 1.03632e17 | − | 5.85378e16i | 0.0152799 | − | 0.00863106i | ||||
\(491\) | −6.08846e18 | − | 6.08846e18i | −0.884988 | − | 0.884988i | 0.109049 | − | 0.994036i | \(-0.465220\pi\) |
−0.994036 | + | 0.109049i | \(0.965220\pi\) | |||||||
\(492\) | −3.54702e16 | − | 1.43104e17i | −0.00508286 | − | 0.0205067i | ||||
\(493\) | 2.73620e18 | + | 2.73620e18i | 0.386562 | + | 0.386562i | ||||
\(494\) | −4.07585e18 | − | 1.13336e18i | −0.567715 | − | 0.157863i | ||||
\(495\) | 1.04809e18i | 0.143934i | ||||||||
\(496\) | −5.61083e18 | + | 2.96351e18i | −0.759723 | + | 0.401268i | ||||
\(497\) | 8.94320e18 | 1.19398 | ||||||||
\(498\) | 1.94295e16 | − | 6.98733e16i | 0.00255774 | − | 0.00919827i | ||||
\(499\) | 7.85027e18 | − | 7.85027e18i | 1.01902 | − | 1.01902i | 0.0191994 | − | 0.999816i | \(-0.493888\pi\) |
0.999816 | − | 0.0191994i | \(-0.00611173\pi\) | |||||||
\(500\) | −3.21912e17 | − | 1.29875e18i | −0.0412048 | − | 0.166240i | ||||
\(501\) | 2.12412e17 | − | 2.12412e17i | 0.0268112 | − | 0.0268112i | ||||
\(502\) | 6.59013e18 | + | 1.16668e19i | 0.820291 | + | 1.45219i | ||||
\(503\) | −3.47585e17 | −0.0426663 | −0.0213331 | − | 0.999772i | \(-0.506791\pi\) | ||||
−0.0213331 | + | 0.999772i | \(0.506791\pi\) | |||||||
\(504\) | 6.58404e18 | − | 6.22219e18i | 0.797037 | − | 0.753233i | ||||
\(505\) | − | 1.15926e18i | − | 0.138401i | ||||||
\(506\) | 1.32902e19 | + | 2.35282e19i | 1.56487 | + | 2.77035i | ||||
\(507\) | 1.28165e17 | + | 1.28165e17i | 0.0148837 | + | 0.0148837i | ||||
\(508\) | −2.85752e18 | + | 4.74089e18i | −0.327298 | + | 0.543017i | ||||
\(509\) | −9.20376e18 | − | 9.20376e18i | −1.03978 | − | 1.03978i | −0.999175 | − | 0.0406031i | \(-0.987072\pi\) |
−0.0406031 | − | 0.999175i | \(-0.512928\pi\) | |||||||
\(510\) | −5.74611e15 | + | 2.06645e16i | −0.000640299 | + | 0.00230268i | ||||
\(511\) | 1.16329e19i | 1.27862i | ||||||||
\(512\) | 7.05055e18 | − | 5.94646e18i | 0.764422 | − | 0.644717i | ||||
\(513\) | 6.78974e17 | 0.0726159 | ||||||||
\(514\) | 9.30717e18 | + | 2.58802e18i | 0.981920 | + | 0.273040i | ||||
\(515\) | −4.26825e17 | + | 4.26825e17i | −0.0444221 | + | 0.0444221i | ||||
\(516\) | −1.25257e17 | − | 7.54974e16i | −0.0128604 | − | 0.00775147i | ||||
\(517\) | 2.05590e18 | − | 2.05590e18i | 0.208242 | − | 0.208242i | ||||
\(518\) | −3.38086e18 | + | 1.90972e18i | −0.337846 | + | 0.190837i | ||||
\(519\) | 3.13794e17 | 0.0309367 | ||||||||
\(520\) | −2.49361e17 | − | 2.63862e17i | −0.0242552 | − | 0.0256657i | ||||
\(521\) | 1.14285e19i | 1.09679i | 0.836219 | + | 0.548396i | \(0.184761\pi\) | ||||
−0.836219 | + | 0.548396i | \(0.815239\pi\) | |||||||
\(522\) | 4.57497e18 | − | 2.58423e18i | 0.433207 | − | 0.244702i | ||||
\(523\) | −2.97384e18 | − | 2.97384e18i | −0.277847 | − | 0.277847i | 0.554402 | − | 0.832249i | \(-0.312947\pi\) |
−0.832249 | + | 0.554402i | \(0.812947\pi\) | |||||||
\(524\) | 1.03562e19 | − | 2.56693e18i | 0.954733 | − | 0.236644i | ||||
\(525\) | −2.14409e17 | − | 2.14409e17i | −0.0195042 | − | 0.0195042i | ||||
\(526\) | −1.03911e19 | − | 2.88942e18i | −0.932741 | − | 0.259365i | ||||
\(527\) | 1.06509e19i | 0.943435i | ||||||||
\(528\) | 2.26719e17 | + | 4.29249e17i | 0.0198176 | + | 0.0375208i | ||||
\(529\) | 3.02060e19 | 2.60557 | ||||||||
\(530\) | −2.61953e17 | + | 9.42049e17i | −0.0222994 | + | 0.0801941i | ||||
\(531\) | −8.46933e18 | + | 8.46933e18i | −0.711521 | + | 0.711521i | ||||
\(532\) | −1.84247e19 | + | 4.56681e18i | −1.52763 | + | 0.378644i | ||||
\(533\) | 2.96196e18 | − | 2.96196e18i | 0.242376 | − | 0.242376i | ||||
\(534\) | −2.12846e17 | − | 3.76809e17i | −0.0171900 | − | 0.0304322i | ||||
\(535\) | −1.23304e18 | −0.0982884 | ||||||||
\(536\) | −1.69645e18 | − | 4.79350e16i | −0.133471 | − | 0.00377137i | ||||
\(537\) | 9.18427e16i | 0.00713222i | ||||||||
\(538\) | −3.59677e18 | − | 6.36751e18i | −0.275700 | − | 0.488083i | ||||
\(539\) | −3.19730e18 | − | 3.19730e18i | −0.241915 | − | 0.241915i | ||||
\(540\) | 4.99035e16 | + | 3.00788e16i | 0.00372713 | + | 0.00224649i | ||||
\(541\) | 5.03170e18 | + | 5.03170e18i | 0.370966 | + | 0.370966i | 0.867829 | − | 0.496863i | \(-0.165515\pi\) |
−0.496863 | + | 0.867829i | \(0.665515\pi\) | |||||||
\(542\) | −1.50325e18 | + | 5.40607e18i | −0.109405 | + | 0.393448i | ||||
\(543\) | 2.82703e17i | 0.0203110i | ||||||||
\(544\) | −3.29872e18 | − | 1.51262e19i | −0.233966 | − | 1.07285i | ||||
\(545\) | 1.32619e18 | 0.0928601 | ||||||||
\(546\) | −1.59119e17 | − | 4.42457e16i | −0.0109995 | − | 0.00305860i | ||||
\(547\) | 1.31965e18 | − | 1.31965e18i | 0.0900631 | − | 0.0900631i | −0.660640 | − | 0.750703i | \(-0.729715\pi\) |
0.750703 | + | 0.660640i | \(0.229715\pi\) | |||||||
\(548\) | 1.08597e19 | − | 1.80172e19i | 0.731732 | − | 1.21401i | ||||
\(549\) | −1.63763e19 | + | 1.63763e19i | −1.08945 | + | 1.08945i | ||||
\(550\) | −2.20479e19 | + | 1.24540e19i | −1.44820 | + | 0.818033i | ||||
\(551\) | −1.10101e19 | −0.714050 | ||||||||
\(552\) | 7.50598e17 | + | 2.12089e16i | 0.0480655 | + | 0.00135814i | ||||
\(553\) | − | 1.69238e19i | − | 1.07010i | ||||||
\(554\) | 1.65726e19 | − | 9.36122e18i | 1.03472 | − | 0.584473i | ||||
\(555\) | −8.82721e15 | − | 8.82721e15i | −0.000544217 | − | 0.000544217i | ||||
\(556\) | 4.02739e17 | + | 1.62484e18i | 0.0245188 | + | 0.0989207i | ||||
\(557\) | 8.76396e18 | + | 8.76396e18i | 0.526883 | + | 0.526883i | 0.919642 | − | 0.392759i | \(-0.128479\pi\) |
−0.392759 | + | 0.919642i | \(0.628479\pi\) | |||||||
\(558\) | 1.39339e19 | + | 3.87457e18i | 0.827245 | + | 0.230030i | ||||
\(559\) | − | 4.15522e18i | − | 0.243619i | ||||||
\(560\) | −1.55650e18 | − | 4.80567e17i | −0.0901222 | − | 0.0278251i | ||||
\(561\) | 8.14832e17 | 0.0465938 | ||||||||
\(562\) | −8.08206e17 | + | 2.90651e18i | −0.0456424 | + | 0.164141i | ||||
\(563\) | 1.32658e19 | − | 1.32658e19i | 0.739901 | − | 0.739901i | −0.232658 | − | 0.972559i | \(-0.574742\pi\) |
0.972559 | + | 0.232658i | \(0.0747422\pi\) | |||||||
\(564\) | −1.94375e16 | − | 7.84201e16i | −0.00107075 | − | 0.00431990i | ||||
\(565\) | 4.35841e17 | − | 4.35841e17i | 0.0237132 | − | 0.0237132i | ||||
\(566\) | −1.52889e19 | − | 2.70666e19i | −0.821603 | − | 1.45452i | ||||
\(567\) | −2.06343e19 | −1.09524 | ||||||||
\(568\) | −1.42546e19 | − | 1.50836e19i | −0.747339 | − | 0.790801i | ||||
\(569\) | 8.40244e18i | 0.435130i | 0.976046 | + | 0.217565i | \(0.0698115\pi\) | ||||
−0.976046 | + | 0.217565i | \(0.930189\pi\) | |||||||
\(570\) | −3.00146e16 | − | 5.31361e16i | −0.00153536 | − | 0.00271810i | ||||
\(571\) | 4.63828e18 | + | 4.63828e18i | 0.234371 | + | 0.234371i | 0.814514 | − | 0.580143i | \(-0.197003\pi\) |
−0.580143 | + | 0.814514i | \(0.697003\pi\) | |||||||
\(572\) | −7.11984e18 | + | 1.18125e19i | −0.355384 | + | 0.589615i | ||||
\(573\) | −4.38482e16 | − | 4.38482e16i | −0.00216207 | − | 0.00216207i | ||||
\(574\) | 5.03532e18 | − | 1.81083e19i | 0.245270 | − | 0.882051i | ||||
\(575\) | 3.91689e19i | 1.88481i | ||||||||
\(576\) | −2.09887e19 | − | 1.18706e18i | −0.997764 | − | 0.0564308i | ||||
\(577\) | 8.68786e18 | 0.408021 | 0.204010 | − | 0.978969i | \(-0.434602\pi\) | ||||
0.204010 | + | 0.978969i | \(0.434602\pi\) | |||||||
\(578\) | −4.27205e18 | − | 1.18792e18i | −0.198217 | − | 0.0551177i | ||||
\(579\) | −6.02115e17 | + | 6.02115e17i | −0.0276013 | + | 0.0276013i | ||||
\(580\) | −8.09222e17 | − | 4.87750e17i | −0.0366498 | − | 0.0220903i | ||||
\(581\) | 6.53764e18 | − | 6.53764e18i | 0.292542 | − | 0.292542i | ||||
\(582\) | −4.13793e17 | + | 2.33737e17i | −0.0182946 | + | 0.0103339i | ||||
\(583\) | 3.71465e19 | 1.62270 | ||||||||
\(584\) | 1.96200e19 | − | 1.85417e19i | 0.846855 | − | 0.800312i | ||||
\(585\) | 8.27472e17i | 0.0352909i | ||||||||
\(586\) | −1.57858e19 | + | 8.91684e18i | −0.665250 | + | 0.375775i | ||||
\(587\) | −7.90753e18 | − | 7.90753e18i | −0.329287 | − | 0.329287i | 0.523028 | − | 0.852315i | \(-0.324802\pi\) |
−0.852315 | + | 0.523028i | \(0.824802\pi\) | |||||||
\(588\) | −1.21958e17 | + | 3.02289e16i | −0.00501844 | + | 0.00124389i | ||||
\(589\) | −2.14288e19 | − | 2.14288e19i | −0.871348 | − | 0.871348i | ||||
\(590\) | 2.07507e18 | + | 5.77008e17i | 0.0833811 | + | 0.0231856i | ||||
\(591\) | − | 6.84804e17i | − | 0.0271928i | ||||||
\(592\) | 8.60971e18 | + | 2.65824e18i | 0.337860 | + | 0.104314i | ||||
\(593\) | −2.64566e19 | −1.02601 | −0.513004 | − | 0.858386i | \(-0.671467\pi\) | ||||
−0.513004 | + | 0.858386i | \(0.671467\pi\) | |||||||
\(594\) | 5.93028e17 | − | 2.13268e18i | 0.0227284 | − | 0.0817372i | ||||
\(595\) | −1.93345e18 | + | 1.93345e18i | −0.0732343 | + | 0.0732343i | ||||
\(596\) | 2.78597e18 | − | 6.90542e17i | 0.104293 | − | 0.0258503i | ||||
\(597\) | 3.23023e17 | − | 3.23023e17i | 0.0119512 | − | 0.0119512i | ||||
\(598\) | 1.04927e19 | + | 1.85756e19i | 0.383688 | + | 0.679258i | ||||
\(599\) | 1.14496e19 | 0.413812 | 0.206906 | − | 0.978361i | \(-0.433661\pi\) | ||||
0.206906 | + | 0.978361i | \(0.433661\pi\) | |||||||
\(600\) | −1.98745e16 | + | 7.03372e17i | −0.000709966 | + | 0.0251262i | ||||
\(601\) | 3.33298e19i | 1.17682i | 0.808562 | + | 0.588411i | \(0.200246\pi\) | ||||
−0.808562 | + | 0.588411i | \(0.799754\pi\) | |||||||
\(602\) | −9.16977e18 | − | 1.62336e19i | −0.320024 | − | 0.566552i | ||||
\(603\) | 2.73520e18 | + | 2.73520e18i | 0.0943555 | + | 0.0943555i | ||||
\(604\) | 3.58403e18 | + | 2.16023e18i | 0.122212 | + | 0.0736618i | ||||
\(605\) | −3.25971e18 | − | 3.25971e18i | −0.109873 | − | 0.109873i | ||||
\(606\) | −3.27858e17 | + | 1.17906e18i | −0.0109239 | + | 0.0392851i | ||||
\(607\) | − | 4.55915e19i | − | 1.50163i | −0.660512 | − | 0.750816i | \(-0.729661\pi\) | ||
0.660512 | − | 0.750816i | \(-0.270339\pi\) | |||||||
\(608\) | 3.70696e19 | + | 2.37960e19i | 1.20696 | + | 0.774781i | ||||
\(609\) | −4.29826e17 | −0.0138348 | ||||||||
\(610\) | 4.01234e18 | + | 1.11570e18i | 0.127670 | + | 0.0355009i | ||||
\(611\) | 1.62314e18 | − | 1.62314e18i | 0.0510584 | − | 0.0510584i | ||||
\(612\) | −1.82156e19 | + | 3.02213e19i | −0.566477 | + | 0.939838i | ||||
\(613\) | −9.52743e18 | + | 9.52743e18i | −0.292922 | + | 0.292922i | −0.838234 | − | 0.545311i | \(-0.816411\pi\) |
0.545311 | + | 0.838234i | \(0.316411\pi\) | |||||||
\(614\) | 2.97684e19 | − | 1.68151e19i | 0.904851 | − | 0.511117i | ||||
\(615\) | 6.04264e16 | 0.00181594 | ||||||||
\(616\) | −1.74795e18 | + | 6.18611e19i | −0.0519355 | + | 1.83803i | ||||
\(617\) | − | 1.04061e19i | − | 0.305696i | −0.988250 | − | 0.152848i | \(-0.951155\pi\) | ||
0.988250 | − | 0.152848i | \(-0.0488446\pi\) | |||||||
\(618\) | 5.54830e17 | − | 3.13403e17i | 0.0161154 | − | 0.00910298i | ||||
\(619\) | 2.17179e19 | + | 2.17179e19i | 0.623712 | + | 0.623712i | 0.946479 | − | 0.322767i | \(-0.104613\pi\) |
−0.322767 | + | 0.946479i | \(0.604613\pi\) | |||||||
\(620\) | −6.25680e17 | − | 2.52429e18i | −0.0177669 | − | 0.0716799i | ||||
\(621\) | −2.42116e18 | − | 2.42116e18i | −0.0679803 | − | 0.0679803i | ||||
\(622\) | −2.37674e19 | − | 6.60894e18i | −0.659856 | − | 0.183484i | ||||
\(623\) | − | 5.51706e19i | − | 1.51458i | ||||||
\(624\) | 1.78996e17 | + | 3.38894e17i | 0.00485904 | + | 0.00919965i | ||||
\(625\) | −3.64293e19 | −0.977891 | ||||||||
\(626\) | 3.40188e18 | − | 1.22340e19i | 0.0903023 | − | 0.324750i | ||||
\(627\) | −1.63938e18 | + | 1.63938e18i | −0.0430336 | + | 0.0430336i | ||||
\(628\) | −2.13742e18 | − | 8.62336e18i | −0.0554845 | − | 0.223851i | ||||
\(629\) | 1.06948e19 | − | 1.06948e19i | 0.274549 | − | 0.274549i | ||||
\(630\) | 1.82607e18 | + | 3.23277e18i | 0.0463590 | + | 0.0820712i | ||||
\(631\) | 1.58289e19 | 0.397415 | 0.198708 | − | 0.980059i | \(-0.436326\pi\) | ||||
0.198708 | + | 0.980059i | \(0.436326\pi\) | |||||||
\(632\) | −2.85438e19 | + | 2.69750e19i | −0.708748 | + | 0.669796i | ||||
\(633\) | 2.77555e16i | 0.000681589i | ||||||||
\(634\) | −2.62289e18 | − | 4.64341e18i | −0.0637024 | − | 0.112775i | ||||
\(635\) | −1.60424e18 | − | 1.60424e18i | −0.0385348 | − | 0.0385348i | ||||
\(636\) | 5.32856e17 | − | 8.84058e17i | 0.0126593 | − | 0.0210030i | ||||
\(637\) | −2.52429e18 | − | 2.52429e18i | −0.0593147 | − | 0.0593147i | ||||
\(638\) | −9.61638e18 | + | 3.45829e19i | −0.223494 | + | 0.803743i | ||||
\(639\) | 4.73022e19i | 1.08737i | ||||||||
\(640\) | 1.67038e18 | + | 3.39116e18i | 0.0379801 | + | 0.0771062i | ||||
\(641\) | −2.03416e19 | −0.457487 | −0.228744 | − | 0.973487i | \(-0.573462\pi\) | ||||
−0.228744 | + | 0.973487i | \(0.573462\pi\) | |||||||
\(642\) | 1.25411e18 | + | 3.48727e17i | 0.0278991 | + | 0.00775783i | ||||
\(643\) | −1.28578e19 | + | 1.28578e19i | −0.282937 | + | 0.282937i | −0.834279 | − | 0.551342i | \(-0.814116\pi\) |
0.551342 | + | 0.834279i | \(0.314116\pi\) | |||||||
\(644\) | 8.19856e19 | + | 4.94159e19i | 1.78458 | + | 1.07564i | ||||
\(645\) | 4.23850e16 | − | 4.23850e16i | 0.000912628 | − | 0.000912628i | ||||
\(646\) | 6.43785e19 | − | 3.63650e19i | 1.37124 | − | 0.774563i | ||||
\(647\) | 2.40646e19 | 0.507047 | 0.253524 | − | 0.967329i | \(-0.418410\pi\) | ||||
0.253524 | + | 0.967329i | \(0.418410\pi\) | |||||||
\(648\) | 3.28891e19 | + | 3.48018e19i | 0.685532 | + | 0.725399i | ||||
\(649\) | − | 8.18231e19i | − | 1.68719i | ||||||
\(650\) | −1.74069e19 | + | 9.83250e18i | −0.355081 | + | 0.200572i | ||||
\(651\) | −8.36569e17 | − | 8.36569e17i | −0.0168824 | − | 0.0168824i | ||||
\(652\) | 2.11806e19 | − | 5.24991e18i | 0.422869 | − | 0.104814i | ||||
\(653\) | 4.22608e19 | + | 4.22608e19i | 0.834730 | + | 0.834730i | 0.988160 | − | 0.153430i | \(-0.0490319\pi\) |
−0.153430 | + | 0.988160i | \(0.549032\pi\) | |||||||
\(654\) | −1.34884e18 | − | 3.75069e17i | −0.0263583 | − | 0.00732938i | ||||
\(655\) | 4.37298e18i | 0.0845450i | ||||||||
\(656\) | −3.85673e19 | + | 2.03703e19i | −0.737721 | + | 0.389647i | ||||
\(657\) | −6.15283e19 | −1.16444 | ||||||||
\(658\) | 2.75933e18 | − | 9.92325e18i | 0.0516681 | − | 0.185811i | ||||
\(659\) | 3.66181e19 | − | 3.66181e19i | 0.678419 | − | 0.678419i | −0.281223 | − | 0.959642i | \(-0.590740\pi\) |
0.959642 | + | 0.281223i | \(0.0907401\pi\) | |||||||
\(660\) | −1.93117e17 | + | 4.78668e16i | −0.00354009 | + | 0.000877459i | ||||
\(661\) | −3.65811e18 | + | 3.65811e18i | −0.0663508 | + | 0.0663508i | −0.739504 | − | 0.673153i | \(-0.764940\pi\) |
0.673153 | + | 0.739504i | \(0.264940\pi\) | |||||||
\(662\) | 1.99353e18 | + | 3.52923e18i | 0.0357780 | + | 0.0633393i | ||||
\(663\) | 6.43314e17 | 0.0114243 | ||||||||
\(664\) | −2.14468e19 | − | 6.06001e17i | −0.376865 | − | 0.0106487i | ||||
\(665\) | − | 7.77993e18i | − | 0.135277i | ||||||
\(666\) | −1.01009e19 | − | 1.78820e19i | −0.173796 | − | 0.307678i | ||||
\(667\) | 3.92609e19 | + | 3.92609e19i | 0.668467 | + | 0.668467i | ||||
\(668\) | −7.61117e19 | − | 4.58755e19i | −1.28238 | − | 0.772940i | ||||
\(669\) | −9.46148e17 | − | 9.46148e17i | −0.0157753 | − | 0.0157753i | ||||
\(670\) | 1.86346e17 | − | 6.70148e17i | 0.00307466 | − | 0.0110573i | ||||
\(671\) | − | 1.58213e20i | − | 2.58336i | ||||||
\(672\) | 1.44717e18 | + | 9.28981e17i | 0.0233849 | + | 0.0150114i | ||||
\(673\) | −6.53565e19 | −1.04516 | −0.522580 | − | 0.852590i | \(-0.675031\pi\) | ||||
−0.522580 | + | 0.852590i | \(0.675031\pi\) | |||||||
\(674\) | −2.12634e19 | − | 5.91266e18i | −0.336522 | − | 0.0935758i | ||||
\(675\) | 2.26883e18 | − | 2.26883e18i | 0.0355365 | − | 0.0355365i | ||||
\(676\) | 2.76802e19 | − | 4.59240e19i | 0.429084 | − | 0.711889i | ||||
\(677\) | −5.62255e19 | + | 5.62255e19i | −0.862606 | + | 0.862606i | −0.991640 | − | 0.129034i | \(-0.958812\pi\) |
0.129034 | + | 0.991640i | \(0.458812\pi\) | |||||||
\(678\) | −5.66551e17 | + | 3.20024e17i | −0.00860263 | + | 0.00485931i | ||||
\(679\) | −6.05856e19 | −0.910502 | ||||||||
\(680\) | 6.34271e18 | + | 1.79220e17i | 0.0943436 | + | 0.00266578i | ||||
\(681\) | 3.37203e18i | 0.0496435i | ||||||||
\(682\) | −8.60249e19 | + | 4.85923e19i | −1.25353 | + | 0.708071i | ||||
\(683\) | 1.46857e19 | + | 1.46857e19i | 0.211811 | + | 0.211811i | 0.805036 | − | 0.593225i | \(-0.202146\pi\) |
−0.593225 | + | 0.805036i | \(0.702146\pi\) | |||||||
\(684\) | −2.41547e19 | − | 9.74514e19i | −0.344833 | − | 1.39122i | ||||
\(685\) | 6.09671e18 | + | 6.09671e18i | 0.0861513 | + | 0.0861513i | ||||
\(686\) | 6.01533e19 | + | 1.67267e19i | 0.841378 | + | 0.233960i | ||||
\(687\) | − | 2.61023e18i | − | 0.0361395i | ||||||
\(688\) | −1.27639e19 | + | 4.13406e19i | −0.174930 | + | 0.566576i | ||||
\(689\) | 2.93273e19 | 0.397867 | ||||||||
\(690\) | −8.24493e16 | + | 2.96509e17i | −0.00110724 | + | 0.00398193i | ||||
\(691\) | −7.65422e19 | + | 7.65422e19i | −1.01755 | + | 1.01755i | −0.0177045 | + | 0.999843i | \(0.505636\pi\) |
−0.999843 | + | 0.0177045i | \(0.994364\pi\) | |||||||
\(692\) | −2.23338e19 | − | 9.01051e19i | −0.293914 | − | 1.18579i | ||||
\(693\) | 9.97391e19 | − | 9.97391e19i | 1.29937 | − | 1.29937i | ||||
\(694\) | −3.64003e19 | − | 6.44409e19i | −0.469449 | − | 0.831084i | ||||
\(695\) | −6.86099e17 | −0.00875978 | ||||||||
\(696\) | 6.85103e17 | + | 7.24945e17i | 0.00865947 | + | 0.00916306i | ||||
\(697\) | 7.32113e19i | 0.916112i | ||||||||
\(698\) | −7.66321e19 | − | 1.35665e20i | −0.949342 | − | 1.68066i | ||||
\(699\) | 3.05850e17 | + | 3.05850e17i | 0.00375119 | + | 0.00375119i | ||||
\(700\) | −4.63068e19 | + | 7.68272e19i | −0.562287 | + | 0.932887i | ||||
\(701\) | 3.43066e19 | + | 3.43066e19i | 0.412432 | + | 0.412432i | 0.882585 | − | 0.470153i | \(-0.155801\pi\) |
−0.470153 | + | 0.882585i | \(0.655801\pi\) | |||||||
\(702\) | 4.68198e17 | − | 1.68376e18i | 0.00557275 | − | 0.0200410i | ||||
\(703\) | 4.30345e19i | 0.507142i | ||||||||
\(704\) | 1.07121e20 | − | 9.56528e19i | 1.24987 | − | 1.11606i | ||||
\(705\) | 3.31134e16 | 0.000382543 | ||||||||
\(706\) | 4.63833e19 | + | 1.28977e19i | 0.530553 | + | 0.147529i | ||||
\(707\) | −1.10318e20 | + | 1.10318e20i | −1.24942 | + | 1.24942i | ||||
\(708\) | −1.94733e18 | − | 1.17373e18i | −0.0218377 | − | 0.0131624i | ||||
\(709\) | 1.13634e20 | − | 1.13634e20i | 1.26178 | − | 1.26178i | 0.311551 | − | 0.950230i | \(-0.399152\pi\) |
0.950230 | − | 0.311551i | \(-0.100848\pi\) | |||||||
\(710\) | 7.40607e18 | − | 4.18341e18i | 0.0814290 | − | 0.0459962i | ||||
\(711\) | 8.95133e19 | 0.974542 | ||||||||
\(712\) | −9.30507e19 | + | 8.79367e19i | −1.00314 | + | 0.948004i | ||||
\(713\) | 1.52827e20i | 1.63145i | ||||||||
\(714\) | 2.51330e18 | − | 1.41967e18i | 0.0265679 | − | 0.0150072i | ||||
\(715\) | −3.99715e18 | − | 3.99715e18i | −0.0418415 | − | 0.0418415i | ||||
\(716\) | 2.63724e19 | − | 6.53675e18i | 0.273374 | − | 0.0677596i | ||||
\(717\) | −9.40432e17 | − | 9.40432e17i | −0.00965369 | − | 0.00965369i | ||||
\(718\) | 1.21099e20 | + | 3.36738e19i | 1.23104 | + | 0.342311i | ||||
\(719\) | 4.25824e19i | 0.428675i | 0.976760 | + | 0.214337i | \(0.0687592\pi\) | ||||
−0.976760 | + | 0.214337i | \(0.931241\pi\) | |||||||
\(720\) | 2.54180e18 | − | 8.23259e18i | 0.0253405 | − | 0.0820746i | ||||
\(721\) | 8.12355e19 | 0.802045 | ||||||||
\(722\) | −2.89619e19 | + | 1.04154e20i | −0.283183 | + | 1.01840i | ||||
\(723\) | −2.76853e18 | + | 2.76853e18i | −0.0268090 | + | 0.0268090i | ||||
\(724\) | 8.11773e19 | − | 2.01209e19i | 0.778511 | − | 0.192965i | ||||
\(725\) | −3.67907e19 | + | 3.67907e19i | −0.349440 | + | 0.349440i | ||||
\(726\) | 2.39349e18 | + | 4.23730e18i | 0.0225152 | + | 0.0398596i | ||||
\(727\) | 1.94799e19 | 0.181488 | 0.0907438 | − | 0.995874i | \(-0.471076\pi\) | ||||
0.0907438 | + | 0.995874i | \(0.471076\pi\) | |||||||
\(728\) | −1.38002e18 | + | 4.88396e19i | −0.0127340 | + | 0.450664i | ||||
\(729\) | − | 1.08998e20i | − | 0.996154i | ||||||
\(730\) | 5.44157e18 | + | 9.63343e18i | 0.0492566 | + | 0.0872009i | ||||
\(731\) | 5.13526e19 | + | 5.13526e19i | 0.460406 | + | 0.460406i | ||||
\(732\) | −3.76535e18 | − | 2.26952e18i | −0.0334370 | − | 0.0201538i | ||||
\(733\) | 1.06456e20 | + | 1.06456e20i | 0.936358 | + | 0.936358i | 0.998093 | − | 0.0617347i | \(-0.0196633\pi\) |
−0.0617347 | + | 0.998093i | \(0.519663\pi\) | |||||||
\(734\) | −5.53878e19 | + | 1.99188e20i | −0.482549 | + | 1.73537i | ||||
\(735\) | − | 5.14975e16i | − | 0.000444401i | ||||||
\(736\) | −4.73325e19 | − | 2.17041e20i | −0.404589 | − | 1.85523i | ||||
\(737\) | −2.64250e19 | −0.223740 | ||||||||
\(738\) | 9.57779e19 | + | 2.66327e19i | 0.803287 | + | 0.223368i | ||||
\(739\) | 2.13499e19 | − | 2.13499e19i | 0.177372 | − | 0.177372i | −0.612837 | − | 0.790209i | \(-0.709972\pi\) |
0.790209 | + | 0.612837i | \(0.209972\pi\) | |||||||
\(740\) | −1.90644e18 | + | 3.16297e18i | −0.0156892 | + | 0.0260299i | ||||
\(741\) | −1.29430e18 | + | 1.29430e18i | −0.0105513 | + | 0.0105513i | ||||
\(742\) | 1.14576e20 | − | 6.47197e19i | 0.925265 | − | 0.522648i | ||||
\(743\) | −1.64116e20 | −1.31290 | −0.656448 | − | 0.754371i | \(-0.727942\pi\) | ||||
−0.656448 | + | 0.754371i | \(0.727942\pi\) | |||||||
\(744\) | −7.75451e16 | + | 2.74437e18i | −0.000614531 | + | 0.0217486i | ||||
\(745\) | 1.17640e18i | 0.00923548i | ||||||||
\(746\) | −1.40834e20 | + | 7.95517e19i | −1.09530 | + | 0.618697i | ||||
\(747\) | 3.45788e19 | + | 3.45788e19i | 0.266419 | + | 0.266419i | ||||
\(748\) | −5.79943e19 | − | 2.33977e20i | −0.442664 | − | 1.78592i | ||||
\(749\) | 1.17340e20 | + | 1.17340e20i | 0.887304 | + | 0.887304i | ||||
\(750\) | −5.57774e17 | − | 1.55099e17i | −0.00417858 | − | 0.00116193i | ||||
\(751\) | − | 3.92175e19i | − | 0.291072i | −0.989353 | − | 0.145536i | \(-0.953509\pi\) | ||
0.989353 | − | 0.145536i | \(-0.0464906\pi\) | |||||||
\(752\) | −2.11347e19 | + | 1.11628e19i | −0.155407 | + | 0.0820824i | ||||
\(753\) | 5.79754e18 | 0.0422356 | ||||||||
\(754\) | −7.59217e18 | + | 2.73034e19i | −0.0547982 | + | 0.197068i | ||||
\(755\) | −1.21278e18 | + | 1.21278e18i | −0.00867265 | + | 0.00867265i | ||||
\(756\) | −1.88657e18 | − | 7.61133e18i | −0.0133666 | − | 0.0539272i | ||||
\(757\) | −1.19161e20 | + | 1.19161e20i | −0.836491 | + | 0.836491i | −0.988395 | − | 0.151904i | \(-0.951459\pi\) |
0.151904 | + | 0.988395i | \(0.451459\pi\) | |||||||
\(758\) | 1.17500e19 | + | 2.08015e19i | 0.0817248 | + | 0.144681i | ||||
\(759\) | 1.16918e19 | 0.0805729 | ||||||||
\(760\) | −1.31216e19 | + | 1.24005e19i | −0.0895969 | + | 0.0846727i | ||||
\(761\) | − | 2.18609e20i | − | 1.47902i | −0.673143 | − | 0.739512i | \(-0.735056\pi\) | ||
0.673143 | − | 0.739512i | \(-0.264944\pi\) | |||||||
\(762\) | 1.17794e18 | + | 2.08535e18i | 0.00789655 | + | 0.0139796i | ||||
\(763\) | −1.26203e20 | − | 1.26203e20i | −0.838299 | − | 0.838299i | ||||
\(764\) | −9.47006e18 | + | 1.57117e19i | −0.0623303 | + | 0.103412i | ||||
\(765\) | −1.02264e19 | − | 1.02264e19i | −0.0666948 | − | 0.0666948i | ||||
\(766\) | −3.67154e19 | + | 1.32038e20i | −0.237272 | + | 0.853290i | ||||
\(767\) | − | 6.45997e19i | − | 0.413678i | ||||||
\(768\) | −7.39840e17 | − | 3.92151e18i | −0.00469471 | − | 0.0248843i | ||||
\(769\) | 7.16620e18 | 0.0450614 | 0.0225307 | − | 0.999746i | \(-0.492828\pi\) | ||||
0.0225307 | + | 0.999746i | \(0.492828\pi\) | |||||||
\(770\) | −2.44370e19 | − | 6.79513e18i | −0.152269 | − | 0.0423411i | ||||
\(771\) | 2.95552e18 | − | 2.95552e18i | 0.0182496 | − | 0.0182496i | ||||
\(772\) | 2.15750e20 | + | 1.30041e20i | 1.32017 | + | 0.795718i | ||||
\(773\) | 2.00741e20 | − | 2.00741e20i | 1.21725 | − | 1.21725i | 0.248661 | − | 0.968591i | \(-0.420010\pi\) |
0.968591 | − | 0.248661i | \(-0.0799904\pi\) | |||||||
\(774\) | 8.58626e19 | − | 4.85006e19i | 0.515961 | − | 0.291447i | ||||
\(775\) | −1.43211e20 | −0.852835 | ||||||||
\(776\) | 9.65678e19 | + | 1.02184e20i | 0.569902 | + | 0.603045i | ||||
\(777\) | 1.68004e18i | 0.00982590i | ||||||||
\(778\) | 1.25786e20 | − | 7.10521e19i | 0.729082 | − | 0.411832i | ||||
\(779\) | −1.47296e20 | − | 1.47296e20i | −0.846113 | − | 0.846113i | ||||
\(780\) | −1.52467e17 | + | 3.77910e16i | −0.000867988 | + | 0.000215143i | ||||
\(781\) | −2.28496e20 | − | 2.28496e20i | −1.28920 | − | 1.28920i | ||||
\(782\) | −3.59243e20 | − | 9.98937e19i | −2.00882 | − | 0.558587i | ||||
\(783\) | − | 4.54832e18i | − | 0.0252068i | ||||||
\(784\) | 1.73603e19 | + | 3.28683e19i | 0.0953553 | + | 0.180537i | ||||
\(785\) | 3.64127e18 | 0.0198228 | ||||||||
\(786\) | 1.23676e18 | − | 4.44769e18i | 0.00667308 | − | 0.0239981i | ||||
\(787\) | −1.47814e20 | + | 1.47814e20i | −0.790482 | + | 0.790482i | −0.981572 | − | 0.191090i | \(-0.938798\pi\) |
0.191090 | + | 0.981572i | \(0.438798\pi\) | |||||||
\(788\) | −1.96639e20 | + | 4.87398e19i | −1.04229 | + | 0.258345i | ||||
\(789\) | −3.29972e18 | + | 3.29972e18i | −0.0173356 | + | 0.0173356i | ||||
\(790\) | −7.91656e18 | − | 1.40150e19i | −0.0412237 | − | 0.0729800i | ||||
\(791\) | −8.29516e19 | −0.428144 | ||||||||
\(792\) | −3.27195e20 | − | 9.24524e18i | −1.67390 | − | 0.0472979i | ||||
\(793\) | − | 1.24910e20i | − | 0.633409i | ||||||
\(794\) | 5.98381e19 | + | 1.05934e20i | 0.300770 | + | 0.532465i | ||||
\(795\) | 2.99151e17 | + | 2.99151e17i | 0.00149046 | + | 0.00149046i | ||||
\(796\) | −1.15746e20 | − | 6.97644e19i | −0.571627 | − | 0.344542i | ||||
\(797\) | −1.14410e20 | − | 1.14410e20i | −0.560088 | − | 0.560088i | 0.369245 | − | 0.929332i | \(-0.379616\pi\) |
−0.929332 | + | 0.369245i | \(0.879616\pi\) | |||||||
\(798\) | −2.20030e18 | + | 7.91285e18i | −0.0106773 | + | 0.0383983i | ||||
\(799\) | 4.01194e19i | 0.192987i | ||||||||
\(800\) | 2.03386e20 | − | 4.43544e19i | 0.969818 | − | 0.211498i | ||||
\(801\) | 2.91807e20 | 1.37933 | ||||||||
\(802\) | 3.86566e20 | + | 1.07491e20i | 1.81135 | + | 0.503678i | ||||
\(803\) | 2.97216e20 | − | 2.97216e20i | 1.38058 | − | 1.38058i | ||||
\(804\) | −3.79060e17 | + | 6.28895e17i | −0.00174548 | + | 0.00289592i | ||||
\(805\) | −2.77426e19 | + | 2.77426e19i | −0.126641 | + | 0.126641i | ||||
\(806\) | −6.79170e19 | + | 3.83638e19i | −0.307350 | + | 0.173611i | ||||
\(807\) | −3.16419e18 | −0.0141954 | ||||||||
\(808\) | 3.61899e20 | + | 1.02258e19i | 1.60956 | + | 0.0454798i | ||||
\(809\) | 3.71878e20i | 1.63968i | 0.572589 | + | 0.819842i | \(0.305939\pi\) | ||||
−0.572589 | + | 0.819842i | \(0.694061\pi\) | |||||||
\(810\) | −1.70877e19 | + | 9.65222e18i | −0.0746946 | + | 0.0421922i | ||||
\(811\) | 1.50522e20 | + | 1.50522e20i | 0.652310 | + | 0.652310i | 0.953549 | − | 0.301239i | \(-0.0974001\pi\) |
−0.301239 | + | 0.953549i | \(0.597400\pi\) | |||||||
\(812\) | 3.05922e19 | + | 1.23423e20i | 0.131437 | + | 0.530280i | ||||
\(813\) | 1.71672e18 | + | 1.71672e18i | 0.00731248 | + | 0.00731248i | ||||
\(814\) | 1.35173e20 | + | 3.75871e19i | 0.570844 | + | 0.158733i | ||||
\(815\) | 8.94366e18i | 0.0374466i | ||||||||
\(816\) | −6.40038e18 | − | 1.97611e18i | −0.0265690 | − | 0.00820315i | ||||
\(817\) | −2.06636e20 | −0.850454 | ||||||||
\(818\) | −2.97083e18 | + | 1.06838e19i | −0.0121228 | + | 0.0435968i | ||||
\(819\) | 7.87444e19 | − | 7.87444e19i | 0.318590 | − | 0.318590i | ||||
\(820\) | −4.30075e18 | − | 1.73513e19i | −0.0172523 | − | 0.0696040i | ||||
\(821\) | −2.35509e20 | + | 2.35509e20i | −0.936712 | + | 0.936712i | −0.998113 | − | 0.0614010i | \(-0.980443\pi\) |
0.0614010 | + | 0.998113i | \(0.480443\pi\) | |||||||
\(822\) | −4.47661e18 | − | 7.92513e18i | −0.0176541 | − | 0.0312539i | ||||
\(823\) | 1.92599e20 | 0.753105 | 0.376553 | − | 0.926395i | \(-0.377109\pi\) | ||||
0.376553 | + | 0.926395i | \(0.377109\pi\) | |||||||
\(824\) | −1.29482e20 | − | 1.37012e20i | −0.502017 | − | 0.531212i | ||||
\(825\) | 1.09562e19i | 0.0421193i | ||||||||
\(826\) | −1.42559e20 | − | 2.52378e20i | −0.543419 | − | 0.962036i | ||||
\(827\) | −1.45188e20 | − | 1.45188e20i | −0.548773 | − | 0.548773i | 0.377313 | − | 0.926086i | \(-0.376848\pi\) |
−0.926086 | + | 0.377313i | \(0.876848\pi\) | |||||||
\(828\) | −2.61370e20 | + | 4.33637e20i | −0.979587 | + | 1.62523i | ||||
\(829\) | −1.44466e20 | − | 1.44466e20i | −0.536887 | − | 0.536887i | 0.385726 | − | 0.922613i | \(-0.373951\pi\) |
−0.922613 | + | 0.385726i | \(0.873951\pi\) | |||||||
\(830\) | 2.35582e18 | − | 8.47212e18i | 0.00868151 | − | 0.0312209i | ||||
\(831\) | − | 8.23535e18i | − | 0.0300937i | ||||||
\(832\) | 8.45726e19 | − | 7.55183e19i | 0.306455 | − | 0.273646i | ||||
\(833\) | 6.23932e19 | 0.224193 | ||||||||
\(834\) | 6.97820e17 | + | 1.94041e17i | 0.00248646 | + | 0.000691403i | ||||
\(835\) | 2.57549e19 | − | 2.57549e19i | 0.0910029 | − | 0.0910029i | ||||
\(836\) | 5.87424e20 | + | 3.54064e20i | 2.05830 | + | 1.24062i | ||||
\(837\) | 8.85237e18 | − | 8.85237e18i | 0.0307596 | − | 0.0307596i | ||||
\(838\) | −9.00557e18 | + | 5.08691e18i | −0.0310315 | + | 0.0175286i | ||||
\(839\) | 3.63924e20 | 1.24359 | 0.621794 | − | 0.783181i | \(-0.286404\pi\) | ||||
0.621794 | + | 0.783181i | \(0.286404\pi\) | |||||||
\(840\) | −5.12261e17 | + | 4.84107e17i | −0.00173595 | + | 0.00164054i | ||||
\(841\) | − | 2.23804e20i | − | 0.752135i | ||||||
\(842\) | −4.12238e20 | + | 2.32858e20i | −1.37393 | + | 0.776081i | ||||
\(843\) | 9.22972e17 | + | 9.22972e17i | 0.00305067 | + | 0.00305067i | ||||
\(844\) | 7.96990e18 | − | 1.97545e18i | 0.0261250 | − | 0.00647543i | ||||
\(845\) | 1.55399e19 | + | 1.55399e19i | 0.0505186 | + | 0.0505186i | ||||
\(846\) | 5.24858e19 | + | 1.45946e19i | 0.169219 | + | 0.0470543i | ||||
\(847\) | 6.20405e20i | 1.98377i | ||||||||
\(848\) | −2.91780e20 | − | 9.00868e19i | −0.925304 | − | 0.285687i | ||||
\(849\) | −1.34501e19 | −0.0423031 | ||||||||
\(850\) | 9.36086e19 | − | 3.36640e20i | 0.292000 | − | 1.05011i | ||||
\(851\) | 1.53457e20 | − | 1.53457e20i | 0.474767 | − | 0.474767i | ||||
\(852\) | −8.71574e18 | + | 2.16032e18i | −0.0267440 | + | 0.00662888i | ||||
\(853\) | −6.48728e19 | + | 6.48728e19i | −0.197433 | + | 0.197433i | −0.798899 | − | 0.601466i | \(-0.794584\pi\) |
0.601466 | + | 0.798899i | \(0.294584\pi\) | |||||||
\(854\) | −2.75652e20 | − | 4.87998e20i | −0.832063 | − | 1.47303i | ||||
\(855\) | 4.11495e19 | 0.123197 | ||||||||
\(856\) | 1.08767e19 | − | 3.84934e20i | 0.0322984 | − | 1.14306i | ||||
\(857\) | 4.85683e20i | 1.43050i | 0.698869 | + | 0.715249i | \(0.253687\pi\) | ||||
−0.698869 | + | 0.715249i | \(0.746313\pi\) | |||||||
\(858\) | 2.93497e18 | + | 5.19590e18i | 0.00857418 | + | 0.0151792i | ||||
\(859\) | 1.64146e18 | + | 1.64146e18i | 0.00475638 | + | 0.00475638i | 0.709481 | − | 0.704725i | \(-0.248929\pi\) |
−0.704725 | + | 0.709481i | \(0.748929\pi\) | |||||||
\(860\) | −1.51874e19 | − | 9.15403e18i | −0.0436510 | − | 0.0263102i | ||||
\(861\) | −5.75034e18 | − | 5.75034e18i | −0.0163935 | − | 0.0163935i | ||||
\(862\) | 2.42290e19 | − | 8.71334e19i | 0.0685147 | − | 0.246396i | ||||
\(863\) | 3.79514e20i | 1.06452i | 0.846582 | + | 0.532258i | \(0.178656\pi\) | ||||
−0.846582 | + | 0.532258i | \(0.821344\pi\) | |||||||
\(864\) | −9.83025e18 | + | 1.53136e19i | −0.0273507 | + | 0.0426071i | ||||
\(865\) | 3.80474e19 | 0.105006 | ||||||||
\(866\) | 2.05784e20 | + | 5.72217e19i | 0.563360 | + | 0.156652i | ||||
\(867\) | −1.35660e18 | + | 1.35660e18i | −0.00368399 | + | 0.00368399i | ||||
\(868\) | −1.80677e20 | + | 2.99760e20i | −0.486703 | + | 0.807486i | ||||
\(869\) | −4.32399e20 | + | 4.32399e20i | −1.15544 | + | 1.15544i | ||||
\(870\) | −3.55949e17 | + | 2.01062e17i | −0.000943523 | + | 0.000532961i | ||||
\(871\) | −2.08627e19 | −0.0548583 | ||||||||
\(872\) | −1.16983e19 | + | 4.14011e20i | −0.0305146 | + | 1.07993i | ||||
\(873\) | − | 3.20448e20i | − | 0.829198i | ||||||
\(874\) | 9.23750e20 | − | 5.21792e20i | 2.37123 | − | 1.33942i | ||||
\(875\) | −5.21876e19 | − | 5.21876e19i | −0.132896 | − | 0.132896i | ||||
\(876\) | −2.81003e18 | − | 1.13370e19i | −0.00709875 | − | 0.0286397i | ||||
\(877\) | −1.79150e19 | − | 1.79150e19i | −0.0448973 | − | 0.0448973i | 0.684302 | − | 0.729199i | \(-0.260107\pi\) |
−0.729199 | + | 0.684302i | \(0.760107\pi\) | |||||||
\(878\) | −5.64671e20 | − | 1.57016e20i | −1.40389 | − | 0.390376i | ||||
\(879\) | 7.84441e18i | 0.0193481i | ||||||||
\(880\) | 2.74896e19 | + | 5.20463e19i | 0.0672651 | + | 0.127353i | ||||
\(881\) | 5.86532e20 | 1.42384 | 0.711919 | − | 0.702262i | \(-0.247826\pi\) | ||||
0.711919 | + | 0.702262i | \(0.247826\pi\) | |||||||
\(882\) | 2.26973e19 | − | 8.16253e19i | 0.0546631 | − | 0.196582i | ||||
\(883\) | 4.46724e20 | − | 4.46724e20i | 1.06737 | − | 1.06737i | 0.0698075 | − | 0.997560i | \(-0.477761\pi\) |
0.997560 | − | 0.0698075i | \(-0.0222385\pi\) | |||||||
\(884\) | −4.57868e19 | − | 1.84726e20i | −0.108536 | − | 0.437886i | ||||
\(885\) | 6.58943e17 | − | 6.58943e17i | 0.00154969 | − | 0.00154969i | ||||
\(886\) | −1.20579e20 | − | 2.13466e20i | −0.281343 | − | 0.498072i | ||||
\(887\) | 1.24414e20 | 0.288008 | 0.144004 | − | 0.989577i | \(-0.454002\pi\) | ||||
0.144004 | + | 0.989577i | \(0.454002\pi\) | |||||||
\(888\) | 2.83356e18 | − | 2.67783e18i | 0.00650791 | − | 0.00615024i | ||||
\(889\) | 3.05327e20i | 0.695749i | ||||||||
\(890\) | −2.58074e19 | − | 4.56880e19i | −0.0583465 | − | 0.103293i | ||||
\(891\) | 5.27199e20 | + | 5.27199e20i | 1.18258 | + | 1.18258i | ||||
\(892\) | −2.04343e20 | + | 3.39024e20i | −0.454785 | + | 0.754530i | ||||
\(893\) | −8.07174e19 | − | 8.07174e19i | −0.178241 | − | 0.178241i | ||||
\(894\) | 3.32706e17 | − | 1.19649e18i | 0.000728949 | − | 0.00262149i | ||||
\(895\) | 1.11359e19i | 0.0242083i | ||||||||
\(896\) | 1.63754e20 | − | 4.81670e20i | 0.353212 | − | 1.03895i | ||||
\(897\) | 9.23073e18 | 0.0197555 | ||||||||
\(898\) | −3.60443e20 | − | 1.00227e20i | −0.765425 | − | 0.212840i | ||||
\(899\) | −1.43548e20 | + | 1.43548e20i | −0.302467 | + | 0.302467i | ||||
\(900\) | −4.06353e20 | − | 2.44925e20i | −0.849584 | − | 0.512077i | ||||
\(901\) | −3.62444e20 | + | 3.62444e20i | −0.751913 | + | 0.751913i | ||||
\(902\) | −5.91311e20 | + | 3.34010e20i | −1.21722 | + | 0.687564i | ||||
\(903\) | −8.06693e18 | −0.0164776 | ||||||||
\(904\) | 1.32217e20 | + | 1.39906e20i | 0.267984 | + | 0.283569i | ||||
\(905\) | 3.42776e19i | 0.0689399i | ||||||||
\(906\) | 1.57649e18 | − | 8.90500e17i | 0.00314625 | − | 0.00177720i | ||||
\(907\) | −3.93965e20 | − | 3.93965e20i | −0.780202 | − | 0.780202i | 0.199663 | − | 0.979865i | \(-0.436015\pi\) |
−0.979865 | + | 0.199663i | \(0.936015\pi\) | |||||||
\(908\) | 9.68269e20 | − | 2.39999e20i | 1.90281 | − | 0.471637i | ||||
\(909\) | −5.83491e20 | − | 5.83491e20i | −1.13786 | − | 1.13786i | ||||
\(910\) | −1.92931e19 | − | 5.36478e18i | −0.0373347 | − | 0.0103816i | ||||
\(911\) | − | 7.40766e20i | − | 1.42250i | −0.702939 | − | 0.711250i | \(-0.748129\pi\) | ||
0.702939 | − | 0.711250i | \(-0.251871\pi\) | |||||||
\(912\) | 1.68529e19 | − | 8.90131e18i | 0.0321152 | − | 0.0169625i | ||||
\(913\) | −3.34069e20 | −0.631743 | ||||||||
\(914\) | −8.61154e18 | + | 3.09693e19i | −0.0161606 | + | 0.0581176i | ||||
\(915\) | 1.27413e18 | − | 1.27413e18i | 0.00237283 | − | 0.00237283i | ||||
\(916\) | −7.49521e20 | + | 1.85779e20i | −1.38521 | + | 0.343343i | ||||
\(917\) | 4.16144e20 | − | 4.16144e20i | 0.763235 | − | 0.763235i | ||||
\(918\) | 1.50226e19 | + | 2.65951e19i | 0.0273430 | + | 0.0484064i | ||||
\(919\) | −5.27167e20 | −0.952225 | −0.476112 | − | 0.879384i | \(-0.657954\pi\) | ||||
−0.476112 | + | 0.879384i | \(0.657954\pi\) | |||||||
\(920\) | 9.10097e19 | + | 2.57158e18i | 0.163145 | + | 0.00460983i | ||||
\(921\) | − | 1.47927e19i | − | 0.0263167i | ||||||
\(922\) | 2.03426e20 | + | 3.60133e20i | 0.359161 | + | 0.635837i | ||||
\(923\) | −1.80398e20 | − | 1.80398e20i | −0.316097 | − | 0.316097i | ||||
\(924\) | 2.29327e19 | + | 1.38224e19i | 0.0398796 | + | 0.0240370i | ||||
\(925\) | 1.43802e20 | + | 1.43802e20i | 0.248184 | + | 0.248184i | ||||
\(926\) | 1.60486e20 | − | 5.77149e20i | 0.274891 | − | 0.988578i | ||||
\(927\) | 4.29669e20i | 0.730426i | ||||||||
\(928\) | 1.59405e20 | − | 2.48322e20i | 0.268946 | − | 0.418967i | ||||
\(929\) | −8.59765e19 | −0.143969 | −0.0719846 | − | 0.997406i | \(-0.522933\pi\) | ||||
−0.0719846 | + | 0.997406i | \(0.522933\pi\) | |||||||
\(930\) | −1.08411e18 | − | 3.01455e17i | −0.00180174 | − | 0.000501005i | ||||
\(931\) | −1.25531e20 | + | 1.25531e20i | −0.207063 | + | 0.207063i | ||||
\(932\) | 6.60556e19 | − | 1.09592e20i | 0.108143 | − | 0.179419i | ||||
\(933\) | −7.54741e18 | + | 7.54741e18i | −0.0122638 | + | 0.0122638i | ||||
\(934\) | 3.51944e20 | − | 1.98800e20i | 0.567604 | − | 0.320618i | ||||
\(935\) | 9.87981e19 | 0.158149 | ||||||||
\(936\) | −2.58322e20 | − | 7.29915e18i | −0.410421 | − | 0.0115969i | ||||
\(937\) | − | 4.43391e20i | − | 0.699213i | −0.936897 | − | 0.349607i | \(-0.886315\pi\) | ||
0.936897 | − | 0.349607i | \(-0.113685\pi\) | |||||||
\(938\) | −8.15063e19 | + | 4.60399e19i | −0.127577 | + | 0.0720633i | ||||
\(939\) | −3.88495e18 | − | 3.88495e18i | −0.00603569 | − | 0.00603569i | ||||
\(940\) | −2.35679e18 | − | 9.50841e18i | −0.00363434 | − | 0.0146627i | ||||
\(941\) | 2.73762e20 | + | 2.73762e20i | 0.419031 | + | 0.419031i | 0.884870 | − | 0.465839i | \(-0.154247\pi\) |
−0.465839 | + | 0.884870i | \(0.654247\pi\) | |||||||
\(942\) | −3.70348e18 | − | 1.02982e18i | −0.00562669 | − | 0.00156460i | ||||
\(943\) | 1.05049e21i | 1.58420i | ||||||||
\(944\) | −1.98435e20 | + | 6.42708e20i | −0.297040 | + | 0.962076i | ||||
\(945\) | 3.21393e18 | 0.00477545 | ||||||||
\(946\) | −1.80479e20 | + | 6.49048e20i | −0.266188 | + | 0.957280i | ||||
\(947\) | 8.32674e20 | − | 8.32674e20i | 1.21906 | − | 1.21906i | 0.251099 | − | 0.967961i | \(-0.419208\pi\) |
0.967961 | − | 0.251099i | \(-0.0807919\pi\) | |||||||
\(948\) | 4.08812e18 | + | 1.64934e19i | 0.00594107 | + | 0.0239691i | ||||
\(949\) | 2.34653e20 | − | 2.34653e20i | 0.338503 | − | 0.338503i | ||||
\(950\) | 4.88962e20 | + | 8.65629e20i | 0.700180 | + | 1.23956i | ||||
\(951\) | −2.30744e18 | −0.00327994 | ||||||||
\(952\) | −5.86534e20 | − | 6.20644e20i | −0.827626 | − | 0.875757i | ||||
\(953\) | − | 1.56854e20i | − | 0.219707i | −0.993948 | − | 0.109854i | \(-0.964962\pi\) | ||
0.993948 | − | 0.109854i | \(-0.0350382\pi\) | |||||||
\(954\) | 3.42314e20 | + | 6.06013e20i | 0.475978 | + | 0.842643i | ||||
\(955\) | −5.31658e18 | − | 5.31658e18i | −0.00733853 | − | 0.00733853i | ||||
\(956\) | −2.03109e20 | + | 3.36976e20i | −0.278306 | + | 0.461736i | ||||
\(957\) | 1.09819e19 | + | 1.09819e19i | 0.0149381 | + | 0.0149381i | ||||
\(958\) | −1.69700e20 | + | 6.10285e20i | −0.229152 | + | 0.824089i | ||||
\(959\) | − | 1.16036e21i | − | 1.55547i | ||||||
\(960\) | 1.63299e18 | + | 9.23576e16i | 0.00217313 | + | 0.000122906i | ||||
\(961\) | 1.98172e20 | 0.261805 | ||||||||
\(962\) | 1.06719e20 | + | 2.96751e19i | 0.139964 | + | 0.0389195i | ||||
\(963\) | −6.20631e20 | + | 6.20631e20i | −0.808071 | + | 0.808071i | ||||
\(964\) | 9.92021e20 | + | 5.97930e20i | 1.28228 | + | 0.772878i | ||||
\(965\) | −7.30062e19 | + | 7.30062e19i | −0.0936847 | + | 0.0936847i | ||||
\(966\) | 3.60626e19 | − | 2.03704e19i | 0.0459428 | − | 0.0259514i | ||||
\(967\) | −4.46936e20 | −0.565275 | −0.282638 | − | 0.959227i | \(-0.591209\pi\) | ||||
−0.282638 | + | 0.959227i | \(0.591209\pi\) | |||||||
\(968\) | 1.04638e21 | − | 9.88867e20i | 1.31389 | − | 1.24168i | ||||
\(969\) | − | 3.19914e19i | − | 0.0398811i | ||||||
\(970\) | −5.01723e19 | + | 2.83405e19i | −0.0620957 | + | 0.0350756i | ||||
\(971\) | −8.69113e20 | − | 8.69113e20i | −1.06793 | − | 1.06793i | −0.997518 | − | 0.0704089i | \(-0.977570\pi\) |
−0.0704089 | − | 0.997518i | \(-0.522430\pi\) | |||||||
\(972\) | 6.03930e19 | − | 1.49692e19i | 0.0736754 | − | 0.0182615i | ||||
\(973\) | 6.52910e19 | + | 6.52910e19i | 0.0790794 | + | 0.0790794i | ||||
\(974\) | 1.15876e21 | + | 3.22214e20i | 1.39342 | + | 0.387464i | ||||
\(975\) | 8.64995e18i | 0.0103272i | ||||||||
\(976\) | −3.83694e20 | + | 1.24274e21i | −0.454817 | + | 1.47310i | ||||
\(977\) | 9.65619e20 | 1.13643 | 0.568216 | − | 0.822879i | \(-0.307634\pi\) | ||||
0.568216 | + | 0.822879i | \(0.307634\pi\) | |||||||
\(978\) | 2.52943e18 | − | 9.09645e18i | 0.00295563 | − | 0.0106292i | ||||
\(979\) | −1.40959e21 | + | 1.40959e21i | −1.63536 | + | 1.63536i | ||||
\(980\) | −1.47873e19 | + | 3.66525e18i | −0.0170337 | + | 0.00422202i | ||||
\(981\) | 6.67513e20 | − | 6.67513e20i | 0.763443 | − | 0.763443i | ||||
\(982\) | 5.42053e20 | + | 9.59619e20i | 0.615547 | + | 1.08973i | ||||
\(983\) | 3.12335e20 | 0.352165 | 0.176082 | − | 0.984375i | \(-0.443658\pi\) | ||||
0.176082 | + | 0.984375i | \(0.443658\pi\) | |||||||
\(984\) | −5.33023e17 | + | 1.88640e19i | −0.000596733 | + | 0.0211188i | ||||
\(985\) | − | 8.30322e19i | − | 0.0922981i | ||||||
\(986\) | −2.43602e20 | − | 4.31259e20i | −0.268871 | − | 0.475993i | ||||
\(987\) | −3.15116e18 | − | 3.15116e18i | −0.00345343 | − | 0.00345343i | ||||
\(988\) | 4.63774e20 | + | 2.79535e20i | 0.504670 | + | 0.304185i | ||||
\(989\) | 7.36845e20 | + | 7.36845e20i | 0.796163 | + | 0.796163i | ||||
\(990\) | 3.59407e19 | − | 1.29252e20i | 0.0385602 | − | 0.138672i | ||||
\(991\) | − | 7.77788e19i | − | 0.0828601i | −0.999141 | − | 0.0414300i | \(-0.986809\pi\) | ||
0.999141 | − | 0.0414300i | \(-0.0131914\pi\) | |||||||
\(992\) | 7.93557e20 | − | 1.73059e20i | 0.839453 | − | 0.183068i | ||||
\(993\) | 1.75377e18 | 0.00184216 | ||||||||
\(994\) | −1.10289e21 | − | 3.06676e20i | −1.15034 | − | 0.319872i | ||||
\(995\) | 3.91664e19 | − | 3.91664e19i | 0.0405651 | − | 0.0405651i | ||||
\(996\) | −4.79213e18 | + | 7.95059e18i | −0.00492848 | + | 0.00817681i | ||||
\(997\) | 6.73482e20 | − | 6.73482e20i | 0.687797 | − | 0.687797i | −0.273948 | − | 0.961745i | \(-0.588330\pi\) |
0.961745 | + | 0.273948i | \(0.0883296\pi\) | |||||||
\(998\) | −1.23730e21 | + | 6.98906e20i | −1.25476 | + | 0.708769i | ||||
\(999\) | −1.77778e19 | −0.0179027 |
(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 | 16.15.f.a.3.2 | ✓ | 54 | |
4.3 | odd | 2 | 64.15.f.a.47.14 | 54 | |||
16.5 | even | 4 | 64.15.f.a.15.14 | 54 | |||
16.11 | odd | 4 | inner | 16.15.f.a.11.2 | yes | 54 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
16.15.f.a.3.2 | ✓ | 54 | 1.1 | even | 1 | trivial | |
16.15.f.a.11.2 | yes | 54 | 16.11 | odd | 4 | inner | |
64.15.f.a.15.14 | 54 | 16.5 | even | 4 | |||
64.15.f.a.47.14 | 54 | 4.3 | odd | 2 |