Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [29,9,Mod(2,29)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(29, base_ring=CyclotomicField(28))
chi = DirichletCharacter(H, H._module([1]))
N = Newforms(chi, 9, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("29.2");
S:= CuspForms(chi, 9);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 29 \) |
Weight: | \( k \) | \(=\) | \( 9 \) |
Character orbit: | \([\chi]\) | \(=\) | 29.f (of order \(28\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(11.8139796918\) |
Analytic rank: | \(0\) |
Dimension: | \(228\) |
Relative dimension: | \(19\) over \(\Q(\zeta_{28})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{28}]$ |
Embedding invariants
Embedding label | 2.9 | ||
Character | \(\chi\) | \(=\) | 29.2 |
Dual form | 29.9.f.a.15.9 |
$q$-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 \(\left(\mathbb{Z}/29\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{1}{28}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −4.14353 | − | 0.466864i | −0.258971 | − | 0.0291790i | −0.0184754 | − | 0.999829i | \(-0.505881\pi\) |
−0.240495 | + | 0.970650i | \(0.577310\pi\) | |||||||
\(3\) | −78.5126 | − | 49.3327i | −0.969291 | − | 0.609046i | −0.0483843 | − | 0.998829i | \(-0.515407\pi\) |
−0.920907 | + | 0.389783i | \(0.872550\pi\) | |||||||
\(4\) | −232.631 | − | 53.0964i | −0.908714 | − | 0.207408i | ||||
\(5\) | 799.859 | − | 637.866i | 1.27977 | − | 1.02059i | 0.281640 | − | 0.959520i | \(-0.409122\pi\) |
0.998134 | − | 0.0610657i | \(-0.0194499\pi\) | |||||||
\(6\) | 302.287 | + | 241.066i | 0.233246 | + | 0.186008i | ||||
\(7\) | −699.825 | − | 3066.14i | −0.291472 | − | 1.27702i | −0.882477 | − | 0.470356i | \(-0.844126\pi\) |
0.591004 | − | 0.806668i | \(-0.298732\pi\) | |||||||
\(8\) | 1946.68 | + | 681.171i | 0.475263 | + | 0.166302i | ||||
\(9\) | 883.797 | + | 1835.22i | 0.134705 | + | 0.279717i | ||||
\(10\) | −3612.03 | + | 2269.59i | −0.361203 | + | 0.226959i | ||||
\(11\) | −19572.3 | + | 6848.64i | −1.33681 | + | 0.467771i | −0.901606 | − | 0.432559i | \(-0.857611\pi\) |
−0.435208 | + | 0.900330i | \(0.643325\pi\) | |||||||
\(12\) | 15645.0 | + | 15645.0i | 0.754487 | + | 0.754487i | ||||
\(13\) | −8119.18 | + | 16859.6i | −0.284275 | + | 0.590303i | −0.993390 | − | 0.114790i | \(-0.963380\pi\) |
0.709115 | + | 0.705093i | \(0.249095\pi\) | |||||||
\(14\) | 1468.28 | + | 13031.3i | 0.0382205 | + | 0.339217i | ||||
\(15\) | −94266.7 | + | 10621.3i | −1.86206 | + | 0.209803i | ||||
\(16\) | 47287.6 | + | 22772.5i | 0.721551 | + | 0.347481i | ||||
\(17\) | 70809.4 | − | 70809.4i | 0.847803 | − | 0.847803i | −0.142056 | − | 0.989859i | \(-0.545371\pi\) |
0.989859 | + | 0.142056i | \(0.0453712\pi\) | |||||||
\(18\) | −2805.24 | − | 8016.91i | −0.0267227 | − | 0.0763690i | ||||
\(19\) | 6619.42 | + | 10534.7i | 0.0507932 | + | 0.0808369i | 0.871156 | − | 0.491007i | \(-0.163371\pi\) |
−0.820362 | + | 0.571844i | \(0.806228\pi\) | |||||||
\(20\) | −219940. | + | 105918.i | −1.37463 | + | 0.661985i | ||||
\(21\) | −96315.7 | + | 275255.i | −0.495245 | + | 1.41533i | ||||
\(22\) | 84295.7 | − | 19239.9i | 0.359844 | − | 0.0821321i | ||||
\(23\) | −287254. | + | 360206.i | −1.02649 | + | 1.28718i | −0.0693395 | + | 0.997593i | \(0.522089\pi\) |
−0.957152 | + | 0.289586i | \(0.906482\pi\) | |||||||
\(24\) | −119235. | − | 149515.i | −0.359383 | − | 0.450652i | ||||
\(25\) | 145979. | − | 639574.i | 0.373705 | − | 1.63731i | ||||
\(26\) | 41513.2 | − | 66067.9i | 0.0908433 | − | 0.144576i | ||||
\(27\) | −46968.4 | + | 416856.i | −0.0883793 | + | 0.784388i | ||||
\(28\) | 750435.i | 1.22090i | ||||||||
\(29\) | 90635.6 | − | 701450.i | 0.128147 | − | 0.991755i | ||||
\(30\) | 395555. | 0.488340 | ||||||||
\(31\) | 1.11599e6 | + | 125742.i | 1.20841 | + | 0.136155i | 0.693093 | − | 0.720848i | \(-0.256247\pi\) |
0.515312 | + | 0.857002i | \(0.327676\pi\) | |||||||
\(32\) | −632357. | − | 397336.i | −0.603063 | − | 0.378929i | ||||
\(33\) | 1.87453e6 | + | 427850.i | 1.58066 | + | 0.360774i | ||||
\(34\) | −326459. | + | 260342.i | −0.244294 | + | 0.194818i | ||||
\(35\) | −2.51555e6 | − | 2.00608e6i | −1.67633 | − | 1.33683i | ||||
\(36\) | −108154. | − | 473856.i | −0.0643924 | − | 0.282121i | ||||
\(37\) | −344069. | − | 120395.i | −0.183586 | − | 0.0642394i | 0.236921 | − | 0.971529i | \(-0.423862\pi\) |
−0.420506 | + | 0.907290i | \(0.638148\pi\) | |||||||
\(38\) | −22509.5 | − | 46741.4i | −0.0107952 | − | 0.0224165i | ||||
\(39\) | 1.46919e6 | − | 923153.i | 0.635067 | − | 0.399039i | ||||
\(40\) | 1.99156e6 | − | 696878.i | 0.777954 | − | 0.272218i | ||||
\(41\) | −2.01020e6 | − | 2.01020e6i | −0.711384 | − | 0.711384i | 0.255440 | − | 0.966825i | \(-0.417780\pi\) |
−0.966825 | + | 0.255440i | \(0.917780\pi\) | |||||||
\(42\) | 527593. | − | 1.09556e6i | 0.169552 | − | 0.352078i | ||||
\(43\) | 170357. | + | 1.51196e6i | 0.0498295 | + | 0.442249i | 0.993712 | + | 0.111967i | \(0.0357152\pi\) |
−0.943882 | + | 0.330282i | \(0.892856\pi\) | |||||||
\(44\) | 4.91675e6 | − | 553985.i | 1.31180 | − | 0.147804i | ||||
\(45\) | 1.87754e6 | + | 904175.i | 0.457867 | + | 0.220497i | ||||
\(46\) | 1.35841e6 | − | 1.35841e6i | 0.303390 | − | 0.303390i | ||||
\(47\) | 2.04131e6 | + | 5.83373e6i | 0.418328 | + | 1.19551i | 0.939645 | + | 0.342151i | \(0.111155\pi\) |
−0.521317 | + | 0.853363i | \(0.674559\pi\) | |||||||
\(48\) | −2.58924e6 | − | 4.12075e6i | −0.487761 | − | 0.776268i | ||||
\(49\) | −3.71753e6 | + | 1.79027e6i | −0.644866 | + | 0.310551i | ||||
\(50\) | −903461. | + | 2.58194e6i | −0.144554 | + | 0.413111i | ||||
\(51\) | −9.05264e6 | + | 2.06621e6i | −1.33812 | + | 0.305417i | ||||
\(52\) | 2.78396e6 | − | 3.49097e6i | 0.380758 | − | 0.477455i | ||||
\(53\) | −16351.4 | − | 20504.0i | −0.00207229 | − | 0.00259857i | 0.780794 | − | 0.624788i | \(-0.214815\pi\) |
−0.782867 | + | 0.622190i | \(0.786243\pi\) | |||||||
\(54\) | 389230. | − | 1.70533e6i | 0.0457753 | − | 0.200555i | ||||
\(55\) | −1.12865e7 | + | 1.79624e7i | −1.23342 | + | 1.96297i | ||||
\(56\) | 726231. | − | 6.44547e6i | 0.0738452 | − | 0.655394i | ||||
\(57\) | − | 1.15366e6i | − | 0.109290i | ||||||
\(58\) | −703032. | + | 2.86416e6i | −0.0621246 | + | 0.253096i | ||||
\(59\) | −8.35555e6 | −0.689552 | −0.344776 | − | 0.938685i | \(-0.612045\pi\) | ||||
−0.344776 | + | 0.938685i | \(0.612045\pi\) | |||||||
\(60\) | 2.24933e7 | + | 2.53438e6i | 1.73559 | + | 0.195554i | ||||
\(61\) | 2.97860e6 | + | 1.87158e6i | 0.215126 | + | 0.135173i | 0.635285 | − | 0.772278i | \(-0.280883\pi\) |
−0.420159 | + | 0.907451i | \(0.638026\pi\) | |||||||
\(62\) | −4.56542e6 | − | 1.04203e6i | −0.308969 | − | 0.0705201i | ||||
\(63\) | 5.00854e6 | − | 3.99418e6i | 0.317943 | − | 0.253551i | ||||
\(64\) | −8.07018e6 | − | 6.43575e6i | −0.481020 | − | 0.383601i | ||||
\(65\) | 4.26000e6 | + | 1.86643e7i | 0.238647 | + | 1.04558i | ||||
\(66\) | −7.56743e6 | − | 2.64796e6i | −0.398816 | − | 0.139552i | ||||
\(67\) | −1.59797e7 | − | 3.31822e7i | −0.792994 | − | 1.64667i | −0.762372 | − | 0.647139i | \(-0.775965\pi\) |
−0.0306222 | − | 0.999531i | \(-0.509749\pi\) | |||||||
\(68\) | −2.02322e7 | + | 1.27127e7i | −0.946251 | + | 0.594569i | ||||
\(69\) | 4.03230e7 | − | 1.41096e7i | 1.77892 | − | 0.622471i | ||||
\(70\) | 9.48667e6 | + | 9.48667e6i | 0.395113 | + | 0.395113i | ||||
\(71\) | −5.10483e6 | + | 1.06003e7i | −0.200885 | + | 0.417142i | −0.976937 | − | 0.213526i | \(-0.931505\pi\) |
0.776052 | + | 0.630669i | \(0.217219\pi\) | |||||||
\(72\) | 470365. | + | 4.17460e6i | 0.0175027 | + | 0.155341i | ||||
\(73\) | −4.15322e7 | + | 4.67956e6i | −1.46249 | + | 0.164783i | −0.807060 | − | 0.590470i | \(-0.798942\pi\) |
−0.655433 | + | 0.755253i | \(0.727514\pi\) | |||||||
\(74\) | 1.36945e6 | + | 659493.i | 0.0456688 | + | 0.0219930i | ||||
\(75\) | −4.30131e7 | + | 4.30131e7i | −1.35943 | + | 1.35943i | ||||
\(76\) | −980523. | − | 2.80217e6i | −0.0293903 | − | 0.0839925i | ||||
\(77\) | 3.46960e7 | + | 5.52184e7i | 0.986999 | + | 1.57080i | ||||
\(78\) | −6.51861e6 | + | 3.13920e6i | −0.176107 | + | 0.0848087i | ||||
\(79\) | 2.28372e6 | − | 6.52651e6i | 0.0586320 | − | 0.167561i | −0.910842 | − | 0.412756i | \(-0.864566\pi\) |
0.969474 | + | 0.245195i | \(0.0788520\pi\) | |||||||
\(80\) | 5.23492e7 | − | 1.19484e7i | 1.27806 | − | 0.291708i | ||||
\(81\) | 3.25848e7 | − | 4.08601e7i | 0.756964 | − | 0.949202i | ||||
\(82\) | 7.39084e6 | + | 9.26782e6i | 0.163470 | + | 0.204985i | ||||
\(83\) | 1.26046e7 | − | 5.52242e7i | 0.265592 | − | 1.16364i | −0.649491 | − | 0.760369i | \(-0.725018\pi\) |
0.915083 | − | 0.403266i | \(-0.132125\pi\) | |||||||
\(84\) | 3.70210e7 | − | 5.89186e7i | 0.743586 | − | 1.18341i | ||||
\(85\) | 1.14706e7 | − | 1.01804e8i | 0.219741 | − | 1.95025i | ||||
\(86\) | − | 6.34439e6i | − | 0.115983i | ||||||
\(87\) | −4.17205e7 | + | 5.06013e7i | −0.728236 | + | 0.883252i | ||||
\(88\) | −4.27660e7 | −0.713129 | ||||||||
\(89\) | 1.65890e7 | + | 1.86913e6i | 0.264399 | + | 0.0297906i | 0.243169 | − | 0.969984i | \(-0.421813\pi\) |
0.0212301 | + | 0.999775i | \(0.493242\pi\) | |||||||
\(90\) | −7.35751e6 | − | 4.62303e6i | −0.112140 | − | 0.0704623i | ||||
\(91\) | 5.73760e7 | + | 1.30957e7i | 0.836690 | + | 0.190969i | ||||
\(92\) | 8.59498e7 | − | 6.85427e7i | 1.19976 | − | 0.956775i | ||||
\(93\) | −8.14159e7 | − | 6.49270e7i | −1.08837 | − | 0.867948i | ||||
\(94\) | −5.73467e6 | − | 2.51252e7i | −0.0734509 | − | 0.321809i | ||||
\(95\) | 1.20144e7 | + | 4.20401e6i | 0.147505 | + | 0.0516142i | ||||
\(96\) | 3.00463e7 | + | 6.23918e7i | 0.353758 | + | 0.734586i | ||||
\(97\) | −2.72399e7 | + | 1.71159e7i | −0.307693 | + | 0.193336i | −0.677023 | − | 0.735962i | \(-0.736730\pi\) |
0.369330 | + | 0.929298i | \(0.379587\pi\) | |||||||
\(98\) | 1.62395e7 | − | 5.68244e6i | 0.176063 | − | 0.0616071i | ||||
\(99\) | −2.98667e7 | − | 2.98667e7i | −0.310918 | − | 0.310918i | ||||
\(100\) | −6.79182e7 | + | 1.41034e8i | −0.679182 | + | 1.41034i | ||||
\(101\) | 3.55009e6 | + | 3.15080e7i | 0.0341157 | + | 0.302785i | 0.999170 | + | 0.0407352i | \(0.0129700\pi\) |
−0.965054 | + | 0.262050i | \(0.915601\pi\) | |||||||
\(102\) | 3.84745e7 | − | 4.33504e6i | 0.355445 | − | 0.0400490i | ||||
\(103\) | −6.11306e7 | − | 2.94389e7i | −0.543137 | − | 0.261561i | 0.142136 | − | 0.989847i | \(-0.454603\pi\) |
−0.685273 | + | 0.728286i | \(0.740317\pi\) | |||||||
\(104\) | −2.72897e7 | + | 2.72897e7i | −0.233274 | + | 0.233274i | ||||
\(105\) | 9.85366e7 | + | 2.81601e8i | 0.810663 | + | 2.31674i | ||||
\(106\) | 58179.9 | + | 92592.7i | 0.000460839 | + | 0.000733421i | ||||
\(107\) | −9.26056e7 | + | 4.45965e7i | −0.706484 | + | 0.340225i | −0.752387 | − | 0.658721i | \(-0.771098\pi\) |
0.0459032 | + | 0.998946i | \(0.485383\pi\) | |||||||
\(108\) | 3.30598e7 | − | 9.44796e7i | 0.243000 | − | 0.694453i | ||||
\(109\) | −1.98020e8 | + | 4.51967e7i | −1.40282 | + | 0.320185i | −0.855961 | − | 0.517040i | \(-0.827034\pi\) |
−0.546859 | + | 0.837225i | \(0.684177\pi\) | |||||||
\(110\) | 5.51521e7 | − | 6.91586e7i | 0.376696 | − | 0.472362i | ||||
\(111\) | 2.10743e7 | + | 2.64264e7i | 0.138823 | + | 0.174079i | ||||
\(112\) | 3.67305e7 | − | 1.60927e8i | 0.233429 | − | 1.02272i | ||||
\(113\) | 1.15556e8 | − | 1.83907e8i | 0.708728 | − | 1.12793i | −0.277208 | − | 0.960810i | \(-0.589409\pi\) |
0.985936 | − | 0.167124i | \(-0.0534481\pi\) | |||||||
\(114\) | −538604. | + | 4.78024e6i | −0.00318897 | + | 0.0283029i | ||||
\(115\) | 4.71343e8i | 2.69492i | ||||||||
\(116\) | −5.83291e7 | + | 1.58366e8i | −0.322146 | + | 0.874643i | ||||
\(117\) | −3.81169e7 | −0.203411 | ||||||||
\(118\) | 3.46215e7 | + | 3.90090e6i | 0.178574 | + | 0.0201204i | ||||
\(119\) | −2.66665e8 | − | 1.67557e8i | −1.32978 | − | 0.835554i | ||||
\(120\) | −1.90742e8 | − | 4.35355e7i | −0.919857 | − | 0.209951i | ||||
\(121\) | 1.68578e8 | − | 1.34436e8i | 0.786428 | − | 0.627155i | ||||
\(122\) | −1.14681e7 | − | 9.14554e6i | −0.0517671 | − | 0.0412829i | ||||
\(123\) | 5.86574e7 | + | 2.56995e8i | 0.256273 | + | 1.12280i | ||||
\(124\) | −2.52937e8 | − | 8.85064e7i | −1.06986 | − | 0.374358i | ||||
\(125\) | −1.17807e8 | − | 2.44628e8i | −0.482536 | − | 1.00200i | ||||
\(126\) | −2.26178e7 | + | 1.42117e7i | −0.0897361 | + | 0.0563849i | ||||
\(127\) | 2.71439e8 | − | 9.49806e7i | 1.04342 | − | 0.365107i | 0.246465 | − | 0.969152i | \(-0.420731\pi\) |
0.796950 | + | 0.604045i | \(0.206445\pi\) | |||||||
\(128\) | 1.65625e8 | + | 1.65625e8i | 0.617000 | + | 0.617000i | ||||
\(129\) | 6.12140e7 | − | 1.27112e8i | 0.221051 | − | 0.459016i | ||||
\(130\) | −8.93776e6 | − | 7.93248e7i | −0.0312936 | − | 0.277738i | ||||
\(131\) | 3.03402e8 | − | 3.41852e7i | 1.03023 | − | 0.116079i | 0.419367 | − | 0.907817i | \(-0.362252\pi\) |
0.610861 | + | 0.791738i | \(0.290823\pi\) | |||||||
\(132\) | −4.13356e8 | − | 1.99062e8i | −1.36154 | − | 0.655681i | ||||
\(133\) | 2.76685e7 | − | 2.76685e7i | 0.0884259 | − | 0.0884259i | ||||
\(134\) | 5.07209e7 | + | 1.44952e8i | 0.157314 | + | 0.449578i | ||||
\(135\) | 2.28330e8 | + | 3.63385e8i | 0.687430 | + | 1.09404i | ||||
\(136\) | 1.86076e8 | − | 8.96096e7i | 0.543920 | − | 0.261938i | ||||
\(137\) | −1.17561e8 | + | 3.35970e8i | −0.333719 | + | 0.953714i | 0.647710 | + | 0.761887i | \(0.275727\pi\) |
−0.981429 | + | 0.191827i | \(0.938559\pi\) | |||||||
\(138\) | −1.73667e8 | + | 3.96383e7i | −0.478851 | + | 0.109295i | ||||
\(139\) | −9.18930e7 | + | 1.15230e8i | −0.246163 | + | 0.308679i | −0.889528 | − | 0.456881i | \(-0.848966\pi\) |
0.643365 | + | 0.765560i | \(0.277538\pi\) | |||||||
\(140\) | 4.78677e8 | + | 6.00242e8i | 1.24604 | + | 1.56248i | ||||
\(141\) | 1.27525e8 | − | 5.58724e8i | 0.322641 | − | 1.41358i | ||||
\(142\) | 2.61009e7 | − | 4.15393e7i | 0.0641951 | − | 0.102166i | ||||
\(143\) | 4.34452e7 | − | 3.85587e8i | 0.103896 | − | 0.922100i | ||||
\(144\) | 1.06909e8i | 0.248637i | ||||||||
\(145\) | −3.74935e8 | − | 6.18874e8i | −0.848173 | − | 1.40001i | ||||
\(146\) | 1.74275e8 | 0.383551 | ||||||||
\(147\) | 3.80191e8 | + | 4.28373e7i | 0.814203 | + | 0.0917387i | ||||
\(148\) | 7.36485e7 | + | 4.62764e7i | 0.153503 | + | 0.0964523i | ||||
\(149\) | −8.01612e8 | − | 1.82963e8i | −1.62637 | − | 0.371208i | −0.690438 | − | 0.723391i | \(-0.742582\pi\) |
−0.935931 | + | 0.352183i | \(0.885439\pi\) | |||||||
\(150\) | 1.98307e8 | − | 1.58145e8i | 0.391718 | − | 0.312385i | ||||
\(151\) | −1.91488e8 | − | 1.52707e8i | −0.368327 | − | 0.293731i | 0.421782 | − | 0.906697i | \(-0.361405\pi\) |
−0.790109 | + | 0.612966i | \(0.789976\pi\) | |||||||
\(152\) | 5.70990e6 | + | 2.50167e7i | 0.0106968 | + | 0.0468658i | ||||
\(153\) | 1.92532e8 | + | 6.73699e7i | 0.351348 | + | 0.122942i | ||||
\(154\) | −1.17985e8 | − | 2.44997e8i | −0.209769 | − | 0.435591i | ||||
\(155\) | 9.72839e8 | − | 6.11275e8i | 1.68544 | − | 1.05903i | ||||
\(156\) | −3.90795e8 | + | 1.36745e8i | −0.659858 | + | 0.230894i | ||||
\(157\) | −3.77882e8 | − | 3.77882e8i | −0.621954 | − | 0.621954i | 0.324077 | − | 0.946031i | \(-0.394946\pi\) |
−0.946031 | + | 0.324077i | \(0.894946\pi\) | |||||||
\(158\) | −1.25097e7 | + | 2.59766e7i | −0.0200732 | + | 0.0416825i | ||||
\(159\) | 272272. | + | 2.41648e6i | 0.000426005 | + | 0.00378090i | ||||
\(160\) | −7.59244e8 | + | 8.55462e7i | −1.15851 | + | 0.130533i | ||||
\(161\) | 1.30547e9 | + | 6.28680e8i | 1.94295 | + | 0.935677i | ||||
\(162\) | −1.54092e8 | + | 1.54092e8i | −0.223728 | + | 0.223728i | ||||
\(163\) | −2.11938e8 | − | 6.05685e8i | −0.300234 | − | 0.858019i | −0.990871 | − | 0.134817i | \(-0.956955\pi\) |
0.690637 | − | 0.723202i | \(-0.257330\pi\) | |||||||
\(164\) | 3.60900e8 | + | 5.74369e8i | 0.498898 | + | 0.793991i | ||||
\(165\) | 1.77227e9 | − | 8.53481e8i | 2.39108 | − | 1.15148i | ||||
\(166\) | −7.80095e7 | + | 2.22938e8i | −0.102734 | + | 0.293597i | ||||
\(167\) | −1.18649e9 | + | 2.70808e8i | −1.52545 | + | 0.348174i | −0.901322 | − | 0.433150i | \(-0.857402\pi\) |
−0.624126 | + | 0.781324i | \(0.714545\pi\) | |||||||
\(168\) | −3.74991e8 | + | 4.70224e8i | −0.470743 | + | 0.590293i | ||||
\(169\) | 2.90273e8 | + | 3.63991e8i | 0.355844 | + | 0.446215i | ||||
\(170\) | −9.50575e7 | + | 4.16474e8i | −0.113813 | + | 0.498646i | ||||
\(171\) | −1.34834e7 | + | 2.14587e7i | −0.0157694 | + | 0.0250968i | ||||
\(172\) | 4.06495e7 | − | 3.60774e8i | 0.0464452 | − | 0.412213i | ||||
\(173\) | 8.46276e8i | 0.944773i | 0.881391 | + | 0.472387i | \(0.156607\pi\) | ||||
−0.881391 | + | 0.472387i | \(0.843393\pi\) | |||||||
\(174\) | 1.96494e8 | − | 1.90190e8i | 0.214364 | − | 0.207487i | ||||
\(175\) | −2.06318e9 | −2.19981 | ||||||||
\(176\) | −1.08149e9 | − | 1.21854e8i | −1.12712 | − | 0.126996i | ||||
\(177\) | 6.56016e8 | + | 4.12202e8i | 0.668377 | + | 0.419969i | ||||
\(178\) | −6.78642e7 | − | 1.54896e7i | −0.0676022 | − | 0.0154298i | ||||
\(179\) | 4.24338e7 | − | 3.38399e7i | 0.0413333 | − | 0.0329622i | −0.602605 | − | 0.798039i | \(-0.705871\pi\) |
0.643939 | + | 0.765077i | \(0.277299\pi\) | |||||||
\(180\) | −3.88765e8 | − | 3.10029e8i | −0.370337 | − | 0.295334i | ||||
\(181\) | 4.05489e8 | + | 1.77656e9i | 0.377803 | + | 1.65526i | 0.704180 | + | 0.710022i | \(0.251315\pi\) |
−0.326377 | + | 0.945240i | \(0.605828\pi\) | |||||||
\(182\) | −2.31625e8 | − | 8.10491e7i | −0.211106 | − | 0.0738691i | ||||
\(183\) | −1.41528e8 | − | 2.93885e8i | −0.126193 | − | 0.262043i | ||||
\(184\) | −8.04553e8 | + | 5.05534e8i | −0.701913 | + | 0.441041i | ||||
\(185\) | −3.52003e8 | + | 1.23171e8i | −0.300510 | + | 0.105153i | ||||
\(186\) | 3.07037e8 | + | 3.07037e8i | 0.256531 | + | 0.256531i | ||||
\(187\) | −9.00953e8 | + | 1.87085e9i | −0.736776 | + | 1.52993i | ||||
\(188\) | −1.65121e8 | − | 1.46549e9i | −0.132182 | − | 1.17314i | ||||
\(189\) | 1.31101e9 | − | 1.47715e8i | 1.02744 | − | 0.115765i | ||||
\(190\) | −4.78192e7 | − | 2.30285e7i | −0.0366934 | − | 0.0176706i | ||||
\(191\) | 1.30908e9 | − | 1.30908e9i | 0.983629 | − | 0.983629i | −0.0162391 | − | 0.999868i | \(-0.505169\pi\) |
0.999868 | + | 0.0162391i | \(0.00516928\pi\) | |||||||
\(192\) | 3.16117e8 | + | 9.03411e8i | 0.232618 | + | 0.664784i | ||||
\(193\) | −4.78446e8 | − | 7.61443e8i | −0.344829 | − | 0.548792i | 0.628615 | − | 0.777716i | \(-0.283622\pi\) |
−0.973444 | + | 0.228924i | \(0.926479\pi\) | |||||||
\(194\) | 1.20860e8 | − | 5.82031e7i | 0.0853248 | − | 0.0410903i | ||||
\(195\) | 5.86296e8 | − | 1.67554e9i | 0.405489 | − | 1.15882i | ||||
\(196\) | 9.59867e8 | − | 2.19083e8i | 0.650410 | − | 0.148452i | ||||
\(197\) | 4.00617e8 | − | 5.02358e8i | 0.265990 | − | 0.333541i | −0.630843 | − | 0.775911i | \(-0.717291\pi\) |
0.896833 | + | 0.442370i | \(0.145862\pi\) | |||||||
\(198\) | 1.09810e8 | + | 1.37697e8i | 0.0714464 | + | 0.0895910i | ||||
\(199\) | −4.50489e7 | + | 1.97372e8i | −0.0287258 | + | 0.125856i | −0.987258 | − | 0.159129i | \(-0.949131\pi\) |
0.958532 | + | 0.284985i | \(0.0919886\pi\) | |||||||
\(200\) | 7.19833e8 | − | 1.14561e9i | 0.449896 | − | 0.716005i | ||||
\(201\) | −3.82361e8 | + | 3.39355e9i | −0.234255 | + | 2.07907i | ||||
\(202\) | − | 1.32212e8i | − | 0.0794079i | ||||||
\(203\) | −2.21417e9 | + | 2.12991e8i | −1.30385 | + | 0.125423i | ||||
\(204\) | 2.21563e9 | 1.27931 | ||||||||
\(205\) | −2.89012e9 | − | 3.25638e8i | −1.63644 | − | 0.184382i | ||||
\(206\) | 2.39552e8 | + | 1.50521e8i | 0.133024 | + | 0.0835848i | ||||
\(207\) | −9.14932e8 | − | 2.08827e8i | −0.498319 | − | 0.113738i | ||||
\(208\) | −7.67872e8 | + | 6.12358e8i | −0.410238 | + | 0.327154i | ||||
\(209\) | −2.01706e8 | − | 1.60855e8i | −0.105714 | − | 0.0843043i | ||||
\(210\) | −2.76820e8 | − | 1.21283e9i | −0.142338 | − | 0.623622i | ||||
\(211\) | −1.36011e9 | − | 4.75924e8i | −0.686190 | − | 0.240108i | −0.0354083 | − | 0.999373i | \(-0.511273\pi\) |
−0.650782 | + | 0.759265i | \(0.725559\pi\) | |||||||
\(212\) | 2.71515e6 | + | 5.63806e6i | 0.00134416 | + | 0.00279117i | ||||
\(213\) | 9.23734e8 | − | 5.80421e8i | 0.448775 | − | 0.281984i | ||||
\(214\) | 4.04535e8 | − | 1.41553e8i | 0.192886 | − | 0.0674937i | ||||
\(215\) | 1.10069e9 | + | 1.10069e9i | 0.515123 | + | 0.515123i | ||||
\(216\) | −3.75383e8 | + | 7.79490e8i | −0.172448 | + | 0.358093i | ||||
\(217\) | −3.95456e8 | − | 3.50977e9i | −0.178344 | − | 1.58285i | ||||
\(218\) | 8.41600e8 | − | 9.48256e7i | 0.372632 | − | 0.0419855i | ||||
\(219\) | 3.49166e9 | + | 1.68149e9i | 1.51794 | + | 0.731002i | ||||
\(220\) | 3.57934e9 | − | 3.57934e9i | 1.52796 | − | 1.52796i | ||||
\(221\) | 6.18907e8 | + | 1.76873e9i | 0.259451 | + | 0.741470i | ||||
\(222\) | −7.49846e7 | − | 1.19337e8i | −0.0308717 | − | 0.0491320i | ||||
\(223\) | −3.34349e9 | + | 1.61014e9i | −1.35201 | + | 0.651094i | −0.962840 | − | 0.270072i | \(-0.912952\pi\) |
−0.389170 | + | 0.921166i | \(0.627238\pi\) | |||||||
\(224\) | −7.75747e8 | + | 2.21696e9i | −0.308126 | + | 0.880573i | ||||
\(225\) | 1.30278e9 | − | 2.97350e8i | 0.508323 | − | 0.116021i | ||||
\(226\) | −5.64670e8 | + | 7.08074e8i | −0.216452 | + | 0.271422i | ||||
\(227\) | −3.91175e8 | − | 4.90518e8i | −0.147322 | − | 0.184736i | 0.702695 | − | 0.711491i | \(-0.251980\pi\) |
−0.850017 | + | 0.526755i | \(0.823408\pi\) | |||||||
\(228\) | −6.12555e7 | + | 2.68378e8i | −0.0226676 | + | 0.0993132i | ||||
\(229\) | −1.85023e7 | + | 2.94463e7i | −0.00672798 | + | 0.0107075i | −0.850071 | − | 0.526668i | \(-0.823441\pi\) |
0.843343 | + | 0.537375i | \(0.180584\pi\) | |||||||
\(230\) | 2.20053e8 | − | 1.95302e9i | 0.0786350 | − | 0.697905i | ||||
\(231\) | − | 6.04699e9i | − | 2.12369i | ||||||
\(232\) | 6.54246e8 | − | 1.30376e9i | 0.225834 | − | 0.450033i | ||||
\(233\) | 1.78980e9 | 0.607268 | 0.303634 | − | 0.952789i | \(-0.401800\pi\) | ||||
0.303634 | + | 0.952789i | \(0.401800\pi\) | |||||||
\(234\) | 1.57938e8 | + | 1.77954e7i | 0.0526774 | + | 0.00593532i | ||||
\(235\) | 5.35390e9 | + | 3.36408e9i | 1.75549 | + | 1.10305i | ||||
\(236\) | 1.94376e9 | + | 4.43650e8i | 0.626606 | + | 0.143019i | ||||
\(237\) | −5.01271e8 | + | 3.99751e8i | −0.158884 | + | 0.126706i | ||||
\(238\) | 1.02671e9 | + | 8.18773e8i | 0.319992 | + | 0.255185i | ||||
\(239\) | −1.13771e9 | − | 4.98464e9i | −0.348691 | − | 1.52771i | −0.780156 | − | 0.625585i | \(-0.784861\pi\) |
0.431466 | − | 0.902129i | \(-0.357997\pi\) | |||||||
\(240\) | −4.69951e9 | − | 1.64443e9i | −1.41647 | − | 0.495645i | ||||
\(241\) | 1.52921e7 | + | 3.17543e7i | 0.00453313 | + | 0.00941314i | 0.903223 | − | 0.429171i | \(-0.141194\pi\) |
−0.898690 | + | 0.438584i | \(0.855480\pi\) | |||||||
\(242\) | −7.61270e8 | + | 4.78338e8i | −0.221961 | + | 0.139468i | ||||
\(243\) | −1.97621e9 | + | 6.91505e8i | −0.566771 | + | 0.198322i | ||||
\(244\) | −5.93540e8 | − | 5.93540e8i | −0.167452 | − | 0.167452i | ||||
\(245\) | −1.83155e9 | + | 3.80324e9i | −0.508339 | + | 1.05558i | ||||
\(246\) | −1.23067e8 | − | 1.09225e9i | −0.0336048 | − | 0.298251i | ||||
\(247\) | −2.31356e8 | + | 2.60676e7i | −0.0621575 | + | 0.00700347i | ||||
\(248\) | 2.08682e9 | + | 1.00496e9i | 0.551667 | + | 0.265669i | ||||
\(249\) | −3.71397e9 | + | 3.71397e9i | −0.966143 | + | 0.966143i | ||||
\(250\) | 3.73927e8 | + | 1.06862e9i | 0.0957254 | + | 0.273567i | ||||
\(251\) | 5.87649e8 | + | 9.35239e8i | 0.148055 | + | 0.235628i | 0.912515 | − | 0.409043i | \(-0.134137\pi\) |
−0.764460 | + | 0.644671i | \(0.776994\pi\) | |||||||
\(252\) | −1.37722e9 | + | 6.63232e8i | −0.341507 | + | 0.164461i | ||||
\(253\) | 3.15531e9 | − | 9.01735e9i | 0.770122 | − | 2.20088i | ||||
\(254\) | −1.16906e9 | + | 2.66830e8i | −0.280867 | + | 0.0641061i | ||||
\(255\) | −5.92287e9 | + | 7.42705e9i | −1.40079 | + | 1.75653i | ||||
\(256\) | 1.03861e9 | + | 1.30237e9i | 0.241819 | + | 0.303232i | ||||
\(257\) | 2.85080e6 | − | 1.24902e7i | 0.000653484 | − | 0.00286310i | −0.974600 | − | 0.223952i | \(-0.928104\pi\) |
0.975254 | + | 0.221089i | \(0.0709612\pi\) | |||||||
\(258\) | −3.12986e8 | + | 4.98114e8i | −0.0706392 | + | 0.112422i | ||||
\(259\) | −1.28359e8 | + | 1.13922e9i | −0.0285251 | + | 0.253167i | ||||
\(260\) | − | 4.56807e9i | − | 0.999631i | ||||||
\(261\) | 1.36742e9 | − | 4.53602e8i | 0.294673 | − | 0.0977492i | ||||
\(262\) | −1.27312e9 | −0.270186 | ||||||||
\(263\) | −3.14147e9 | − | 3.53958e8i | −0.656613 | − | 0.0739825i | −0.222629 | − | 0.974903i | \(-0.571464\pi\) |
−0.433984 | + | 0.900921i | \(0.642892\pi\) | |||||||
\(264\) | 3.35767e9 | + | 2.10976e9i | 0.691229 | + | 0.434328i | ||||
\(265\) | −2.61576e7 | − | 5.97030e6i | −0.00530413 | − | 0.00121063i | ||||
\(266\) | −1.27563e8 | + | 1.01728e8i | −0.0254799 | + | 0.0203195i | ||||
\(267\) | −1.21023e9 | − | 9.65129e8i | −0.238135 | − | 0.189907i | ||||
\(268\) | 1.95552e9 | + | 8.56767e9i | 0.379072 | + | 1.66082i | ||||
\(269\) | 5.57479e9 | + | 1.95070e9i | 1.06468 | + | 0.372548i | 0.805079 | − | 0.593167i | \(-0.202123\pi\) |
0.259602 | + | 0.965716i | \(0.416408\pi\) | |||||||
\(270\) | −7.76441e8 | − | 1.61230e9i | −0.146101 | − | 0.303382i | ||||
\(271\) | −2.43190e9 | + | 1.52806e9i | −0.450887 | + | 0.283311i | −0.738271 | − | 0.674504i | \(-0.764357\pi\) |
0.287384 | + | 0.957816i | \(0.407215\pi\) | |||||||
\(272\) | 4.96091e9 | − | 1.73590e9i | 0.906328 | − | 0.317138i | ||||
\(273\) | −3.85869e9 | − | 3.85869e9i | −0.694687 | − | 0.694687i | ||||
\(274\) | 6.43969e8 | − | 1.33722e9i | 0.114252 | − | 0.237246i | ||||
\(275\) | 1.52308e9 | + | 1.35177e10i | 0.266312 | + | 2.36359i | ||||
\(276\) | −1.01295e10 | + | 1.14133e9i | −1.74563 | + | 0.196686i | ||||
\(277\) | 4.96229e8 | + | 2.38971e8i | 0.0842875 | + | 0.0405907i | 0.475553 | − | 0.879687i | \(-0.342248\pi\) |
−0.391265 | + | 0.920278i | \(0.627962\pi\) | |||||||
\(278\) | 4.34558e8 | − | 4.34558e8i | 0.0727559 | − | 0.0727559i | ||||
\(279\) | 7.55543e8 | + | 2.15922e9i | 0.124693 | + | 0.356352i | ||||
\(280\) | −3.53047e9 | − | 5.61871e9i | −0.574381 | − | 0.914122i | ||||
\(281\) | 4.37614e9 | − | 2.10744e9i | 0.701885 | − | 0.338010i | −0.0486727 | − | 0.998815i | \(-0.515499\pi\) |
0.750558 | + | 0.660805i | \(0.229785\pi\) | |||||||
\(282\) | −7.89252e8 | + | 2.25555e9i | −0.124801 | + | 0.356662i | ||||
\(283\) | −3.86877e9 | + | 8.83021e8i | −0.603152 | + | 0.137666i | −0.513183 | − | 0.858279i | \(-0.671534\pi\) |
−0.0899690 | + | 0.995945i | \(0.528677\pi\) | |||||||
\(284\) | 1.75038e9 | − | 2.19490e9i | 0.269066 | − | 0.337398i | ||||
\(285\) | −7.35883e8 | − | 9.22769e8i | −0.111540 | − | 0.139866i | ||||
\(286\) | −3.60033e8 | + | 1.57741e9i | −0.0538119 | + | 0.235765i | ||||
\(287\) | −4.75676e9 | + | 7.57034e9i | −0.701106 | + | 1.11580i | ||||
\(288\) | 1.70325e8 | − | 1.51168e9i | 0.0247577 | − | 0.219730i | ||||
\(289\) | − | 3.05217e9i | − | 0.437540i | ||||||
\(290\) | 1.26463e9 | + | 2.73937e9i | 0.178801 | + | 0.387309i | ||||
\(291\) | 2.98305e9 | 0.415995 | ||||||||
\(292\) | 9.91014e9 | + | 1.11660e9i | 1.36316 | + | 0.153592i | ||||
\(293\) | −7.17481e9 | − | 4.50823e9i | −0.973509 | − | 0.611696i | −0.0514214 | − | 0.998677i | \(-0.516375\pi\) |
−0.922088 | + | 0.386981i | \(0.873518\pi\) | |||||||
\(294\) | −1.55533e9 | − | 3.54995e8i | −0.208178 | − | 0.0475152i | ||||
\(295\) | −6.68326e9 | + | 5.32973e9i | −0.882471 | + | 0.703747i | ||||
\(296\) | −5.87781e8 | − | 4.68740e8i | −0.0765683 | − | 0.0610612i | ||||
\(297\) | −1.93562e9 | − | 8.48049e9i | −0.248767 | − | 1.08992i | ||||
\(298\) | 3.23608e9 | + | 1.13235e9i | 0.410350 | + | 0.143588i | ||||
\(299\) | −3.74067e9 | − | 7.76758e9i | −0.468020 | − | 0.971854i | ||||
\(300\) | 1.22900e10 | − | 7.72233e9i | 1.51729 | − | 0.953374i | ||||
\(301\) | 4.51666e9 | − | 1.58045e9i | 0.550239 | − | 0.192537i | ||||
\(302\) | 7.22143e8 | + | 7.22143e8i | 0.0868152 | + | 0.0868152i | ||||
\(303\) | 1.27565e9 | − | 2.64891e9i | 0.151342 | − | 0.314265i | ||||
\(304\) | 7.31139e7 | + | 6.48904e8i | 0.00856062 | + | 0.0759776i | ||||
\(305\) | 3.57628e9 | − | 4.02950e8i | 0.413268 | − | 0.0465641i | ||||
\(306\) | −7.66309e8 | − | 3.69035e8i | −0.0874014 | − | 0.0420903i | ||||
\(307\) | 9.93677e9 | − | 9.93677e9i | 1.11864 | − | 1.11864i | 0.126703 | − | 0.991941i | \(-0.459560\pi\) |
0.991941 | − | 0.126703i | \(-0.0404395\pi\) | |||||||
\(308\) | −5.13946e9 | − | 1.46877e10i | −0.571103 | − | 1.63212i | ||||
\(309\) | 3.34722e9 | + | 5.32707e9i | 0.367155 | + | 0.584325i | ||||
\(310\) | −4.31637e9 | + | 2.07865e9i | −0.467382 | + | 0.225079i | ||||
\(311\) | 2.66262e9 | − | 7.60933e9i | 0.284621 | − | 0.813401i | −0.709458 | − | 0.704747i | \(-0.751060\pi\) |
0.994080 | − | 0.108654i | \(-0.0346540\pi\) | |||||||
\(312\) | 3.48886e9 | − | 7.96310e8i | 0.368184 | − | 0.0840357i | ||||
\(313\) | 5.19973e9 | − | 6.52025e9i | 0.541756 | − | 0.679340i | −0.433313 | − | 0.901243i | \(-0.642656\pi\) |
0.975069 | + | 0.221903i | \(0.0712270\pi\) | |||||||
\(314\) | 1.38935e9 | + | 1.74219e9i | 0.142920 | + | 0.179216i | ||||
\(315\) | 1.45837e9 | − | 6.38955e9i | 0.148124 | − | 0.648975i | ||||
\(316\) | −8.77798e8 | + | 1.39701e9i | −0.0880332 | + | 0.140104i | ||||
\(317\) | −6.99798e8 | + | 6.21088e9i | −0.0693004 | + | 0.615058i | 0.910278 | + | 0.413997i | \(0.135868\pi\) |
−0.979579 | + | 0.201061i | \(0.935561\pi\) | |||||||
\(318\) | − | 1.01399e7i | − | 0.000991571i | ||||||
\(319\) | 3.03003e9 | + | 1.43497e10i | 0.292607 | + | 1.38573i | ||||
\(320\) | −1.05601e10 | −1.00709 | ||||||||
\(321\) | 9.47078e9 | + | 1.06710e9i | 0.892001 | + | 0.100504i | ||||
\(322\) | −5.11573e9 | − | 3.21443e9i | −0.475866 | − | 0.299006i | ||||
\(323\) | 1.21468e9 | + | 2.77242e8i | 0.111596 | + | 0.0254712i | ||||
\(324\) | −9.74975e9 | + | 7.77516e9i | −0.884735 | + | 0.705553i | ||||
\(325\) | 9.59777e9 | + | 7.65396e9i | 0.860274 | + | 0.686046i | ||||
\(326\) | 5.95401e8 | + | 2.60862e9i | 0.0527156 | + | 0.230962i | ||||
\(327\) | 1.77767e10 | + | 6.22034e9i | 1.55475 | + | 0.544030i | ||||
\(328\) | −2.54392e9 | − | 5.28250e9i | −0.219790 | − | 0.456399i | ||||
\(329\) | 1.64584e10 | − | 1.03415e10i | 1.40477 | − | 0.882675i | ||||
\(330\) | −7.74192e9 | + | 2.70901e9i | −0.652819 | + | 0.228431i | ||||
\(331\) | 2.52074e9 | + | 2.52074e9i | 0.209998 | + | 0.209998i | 0.804267 | − | 0.594268i | \(-0.202558\pi\) |
−0.594268 | + | 0.804267i | \(0.702558\pi\) | |||||||
\(332\) | −5.86441e9 | + | 1.21776e10i | −0.482694 | + | 1.00233i | ||||
\(333\) | −8.31355e7 | − | 7.37848e8i | −0.00676098 | − | 0.0600054i | ||||
\(334\) | 5.04268e9 | − | 5.68173e8i | 0.405205 | − | 0.0456557i | ||||
\(335\) | −3.39474e10 | − | 1.63482e10i | −2.69542 | − | 1.29805i | ||||
\(336\) | −1.08228e10 | + | 1.08228e10i | −0.849144 | + | 0.849144i | ||||
\(337\) | 3.86976e8 | + | 1.10591e9i | 0.0300030 | + | 0.0857435i | 0.957911 | − | 0.287066i | \(-0.0926800\pi\) |
−0.927908 | + | 0.372810i | \(0.878394\pi\) | |||||||
\(338\) | −1.03282e9 | − | 1.64373e9i | −0.0791331 | − | 0.125940i | ||||
\(339\) | −1.81452e10 | + | 8.73829e9i | −1.37393 | + | 0.661649i | ||||
\(340\) | −8.07386e9 | + | 2.30738e10i | −0.604179 | + | 1.72664i | ||||
\(341\) | −2.27036e10 | + | 5.18195e9i | −1.67910 | + | 0.383244i | ||||
\(342\) | 6.58871e7 | − | 8.26198e7i | 0.00481610 | − | 0.00603920i | ||||
\(343\) | −3.21319e9 | − | 4.02921e9i | −0.232145 | − | 0.291101i | ||||
\(344\) | −6.98275e8 | + | 3.05934e9i | −0.0498646 | + | 0.218471i | ||||
\(345\) | 2.32527e10 | − | 3.70064e10i | 1.64133 | − | 2.61216i | ||||
\(346\) | 3.95095e8 | − | 3.50657e9i | 0.0275675 | − | 0.244668i | ||||
\(347\) | 1.00713e10i | 0.694651i | 0.937745 | + | 0.347325i | \(0.112910\pi\) | ||||
−0.937745 | + | 0.347325i | \(0.887090\pi\) | |||||||
\(348\) | 1.23922e10 | − | 9.55621e9i | 0.844951 | − | 0.651582i | ||||
\(349\) | 4.72271e9 | 0.318339 | 0.159169 | − | 0.987251i | \(-0.449118\pi\) | ||||
0.159169 | + | 0.987251i | \(0.449118\pi\) | |||||||
\(350\) | 8.54885e9 | + | 9.63224e8i | 0.569686 | + | 0.0641882i | ||||
\(351\) | −6.64670e9 | − | 4.17640e9i | −0.437902 | − | 0.275152i | ||||
\(352\) | 1.50979e10 | + | 3.44599e9i | 0.983434 | + | 0.224462i | ||||
\(353\) | 1.48053e10 | − | 1.18068e10i | 0.953493 | − | 0.760385i | −0.0174126 | − | 0.999848i | \(-0.505543\pi\) |
0.970905 | + | 0.239463i | \(0.0769715\pi\) | |||||||
\(354\) | −2.52578e9 | − | 2.01424e9i | −0.160836 | − | 0.128262i | ||||
\(355\) | 2.67842e9 | + | 1.17349e10i | 0.168642 | + | 0.738868i | ||||
\(356\) | −3.75986e9 | − | 1.31563e9i | −0.234084 | − | 0.0819095i | ||||
\(357\) | 1.26705e10 | + | 2.63107e10i | 0.780050 | + | 1.61979i | ||||
\(358\) | −1.91624e8 | + | 1.20406e8i | −0.0116659 | + | 0.00733018i | ||||
\(359\) | 2.02816e10 | − | 7.09682e9i | 1.22102 | − | 0.427254i | 0.358622 | − | 0.933483i | \(-0.383247\pi\) |
0.862399 | + | 0.506229i | \(0.168961\pi\) | |||||||
\(360\) | 3.03906e9 | + | 3.03906e9i | 0.180938 | + | 0.180938i | ||||
\(361\) | 7.30173e9 | − | 1.51622e10i | 0.429929 | − | 0.892757i | ||||
\(362\) | −8.50743e8 | − | 7.55055e9i | −0.0495409 | − | 0.439688i | ||||
\(363\) | −1.98676e10 | + | 2.23854e9i | −1.14424 | + | 0.128925i | ||||
\(364\) | −1.26521e10 | − | 6.09292e9i | −0.720703 | − | 0.347072i | ||||
\(365\) | −3.02350e10 | + | 3.02350e10i | −1.70348 | + | 1.70348i | ||||
\(366\) | 4.49219e8 | + | 1.28379e9i | 0.0250342 | + | 0.0715437i | ||||
\(367\) | −1.35084e10 | − | 2.14986e10i | −0.744630 | − | 1.18507i | −0.977164 | − | 0.212484i | \(-0.931845\pi\) |
0.232534 | − | 0.972588i | \(-0.425298\pi\) | |||||||
\(368\) | −2.17863e10 | + | 1.04917e10i | −1.18794 | + | 0.572080i | ||||
\(369\) | 1.91256e9 | − | 5.46578e9i | 0.103160 | − | 0.294813i | ||||
\(370\) | 1.51604e9 | − | 3.46025e8i | 0.0808915 | − | 0.0184630i | ||||
\(371\) | −5.14249e7 | + | 6.44848e7i | −0.00271443 | + | 0.00340378i | ||||
\(372\) | 1.54924e10 | + | 1.94269e10i | 0.809000 | + | 1.01445i | ||||
\(373\) | 4.00154e9 | − | 1.75319e10i | 0.206724 | − | 0.905719i | −0.760005 | − | 0.649917i | \(-0.774803\pi\) |
0.966729 | − | 0.255802i | \(-0.0823394\pi\) | |||||||
\(374\) | 4.60656e9 | − | 7.33129e9i | 0.235445 | − | 0.374709i | ||||
\(375\) | −2.81886e9 | + | 2.50181e10i | −0.142544 | + | 1.26511i | ||||
\(376\) | 1.27469e10i | 0.637752i | ||||||||
\(377\) | 1.10903e10 | + | 7.22328e9i | 0.549007 | + | 0.357576i | ||||
\(378\) | −5.50115e9 | −0.269455 | ||||||||
\(379\) | −3.52661e10 | − | 3.97353e9i | −1.70923 | − | 0.192584i | −0.797484 | − | 0.603340i | \(-0.793836\pi\) |
−0.911745 | + | 0.410756i | \(0.865265\pi\) | |||||||
\(380\) | −2.57169e9 | − | 1.61590e9i | −0.123334 | − | 0.0774962i | ||||
\(381\) | −2.59970e10 | − | 5.93365e9i | −1.23374 | − | 0.281593i | ||||
\(382\) | −6.03535e9 | + | 4.81303e9i | −0.283432 | + | 0.226030i | ||||
\(383\) | −1.10907e10 | − | 8.84452e9i | −0.515422 | − | 0.411035i | 0.330933 | − | 0.943654i | \(-0.392637\pi\) |
−0.846355 | + | 0.532619i | \(0.821208\pi\) | |||||||
\(384\) | −4.83290e9 | − | 2.11743e10i | −0.222271 | − | 0.973834i | ||||
\(385\) | 6.29739e10 | + | 2.20355e10i | 2.86627 | + | 1.00295i | ||||
\(386\) | 1.62697e9 | + | 3.37843e9i | 0.0732874 | + | 0.152183i | ||||
\(387\) | −2.62422e9 | + | 1.64891e9i | −0.116992 | + | 0.0735111i | ||||
\(388\) | 7.24562e9 | − | 2.53535e9i | 0.319705 | − | 0.111869i | ||||
\(389\) | 4.38009e9 | + | 4.38009e9i | 0.191286 | + | 0.191286i | 0.796252 | − | 0.604965i | \(-0.206813\pi\) |
−0.604965 | + | 0.796252i | \(0.706813\pi\) | |||||||
\(390\) | −3.21158e9 | + | 6.66892e9i | −0.138823 | + | 0.288268i | ||||
\(391\) | 5.16563e9 | + | 4.58462e10i | 0.221012 | + | 1.96154i | ||||
\(392\) | −8.45630e9 | + | 9.52796e8i | −0.358126 | + | 0.0403511i | ||||
\(393\) | −2.55073e10 | − | 1.22837e10i | −1.06929 | − | 0.514942i | ||||
\(394\) | −1.89450e9 | + | 1.89450e9i | −0.0786159 | + | 0.0786159i | ||||
\(395\) | −2.33638e9 | − | 6.67699e9i | −0.0959744 | − | 0.274279i | ||||
\(396\) | 5.36209e9 | + | 8.53372e9i | 0.218049 | + | 0.347023i | ||||
\(397\) | 2.21405e10 | − | 1.06623e10i | 0.891302 | − | 0.429228i | 0.0685624 | − | 0.997647i | \(-0.478159\pi\) |
0.822740 | + | 0.568418i | \(0.192444\pi\) | |||||||
\(398\) | 2.78807e8 | − | 7.96786e8i | 0.0111115 | − | 0.0317548i | ||||
\(399\) | −3.53729e9 | + | 8.07364e8i | −0.139566 | + | 0.0318550i | ||||
\(400\) | 2.14677e10 | − | 2.69196e10i | 0.838581 | − | 1.05155i | ||||
\(401\) | 2.69811e10 | + | 3.38332e10i | 1.04347 | + | 1.30847i | 0.949795 | + | 0.312872i | \(0.101291\pi\) |
0.0936787 | + | 0.995602i | \(0.470137\pi\) | |||||||
\(402\) | 3.16865e9 | − | 1.38827e10i | 0.121330 | − | 0.531583i | ||||
\(403\) | −1.11809e10 | + | 1.77942e10i | −0.423892 | + | 0.674620i | ||||
\(404\) | 8.47099e8 | − | 7.51822e9i | 0.0317987 | − | 0.282221i | ||||
\(405\) | − | 5.34670e10i | − | 1.98731i | ||||||
\(406\) | 9.27391e9 | + | 1.51179e8i | 0.341318 | + | 0.00556402i | ||||
\(407\) | 7.55876e9 | 0.275469 | ||||||||
\(408\) | −1.90300e10 | − | 2.14417e9i | −0.686749 | − | 0.0773781i | ||||
\(409\) | 4.18361e9 | + | 2.62873e9i | 0.149506 | + | 0.0939406i | 0.604707 | − | 0.796448i | \(-0.293290\pi\) |
−0.455202 | + | 0.890388i | \(0.650433\pi\) | |||||||
\(410\) | 1.18233e10 | + | 2.69858e9i | 0.418410 | + | 0.0954993i | ||||
\(411\) | 2.58043e10 | − | 2.05783e10i | 0.904326 | − | 0.721176i | ||||
\(412\) | 1.26577e10 | + | 1.00942e10i | 0.439306 | + | 0.350335i | ||||
\(413\) | 5.84743e9 | + | 2.56193e10i | 0.200986 | + | 0.880575i | ||||
\(414\) | 3.69355e9 | + | 1.29243e9i | 0.125731 | + | 0.0439952i | ||||
\(415\) | −2.51438e10 | − | 5.22116e10i | −0.847691 | − | 1.76025i | ||||
\(416\) | 1.18332e10 | − | 7.43527e9i | 0.395119 | − | 0.248270i | ||||
\(417\) | 1.28994e10 | − | 4.51368e9i | 0.426603 | − | 0.149275i | ||||
\(418\) | 7.60677e8 | + | 7.60677e8i | 0.0249170 | + | 0.0249170i | ||||
\(419\) | 1.54557e10 | − | 3.20940e10i | 0.501455 | − | 1.04128i | −0.484581 | − | 0.874746i | \(-0.661028\pi\) |
0.986036 | − | 0.166535i | \(-0.0532578\pi\) | |||||||
\(420\) | −7.97060e9 | − | 7.07410e10i | −0.256150 | − | 2.27339i | ||||
\(421\) | −2.94875e10 | + | 3.32244e9i | −0.938662 | + | 0.105762i | −0.568021 | − | 0.823014i | \(-0.692291\pi\) |
−0.370641 | + | 0.928776i | \(0.620862\pi\) | |||||||
\(422\) | 5.41347e9 | + | 2.60699e9i | 0.170697 | + | 0.0822033i | ||||
\(423\) | −8.90209e9 | + | 8.90209e9i | −0.278055 | + | 0.278055i | ||||
\(424\) | −1.78641e7 | − | 5.10527e7i | −0.000552737 | − | 0.00157963i | ||||
\(425\) | −3.49512e10 | − | 5.56245e10i | −1.07129 | − | 1.70495i | ||||
\(426\) | −4.09850e9 | + | 1.97373e9i | −0.124447 | + | 0.0599308i | ||||
\(427\) | 3.65401e9 | − | 1.04426e10i | 0.109915 | − | 0.314120i | ||||
\(428\) | 2.39108e10 | − | 5.45749e9i | 0.712557 | − | 0.162636i | ||||
\(429\) | −2.24331e10 | + | 2.81302e10i | −0.662307 | + | 0.830506i | ||||
\(430\) | −4.04687e9 | − | 5.07461e9i | −0.118371 | − | 0.148433i | ||||
\(431\) | 4.79536e8 | − | 2.10098e9i | 0.0138967 | − | 0.0608854i | −0.967504 | − | 0.252855i | \(-0.918630\pi\) |
0.981401 | + | 0.191970i | \(0.0614875\pi\) | |||||||
\(432\) | −1.17139e10 | + | 1.86425e10i | −0.336330 | + | 0.535266i | ||||
\(433\) | −2.31516e9 | + | 2.05476e10i | −0.0658611 | + | 0.584533i | 0.916829 | + | 0.399279i | \(0.130740\pi\) |
−0.982691 | + | 0.185254i | \(0.940689\pi\) | |||||||
\(434\) | 1.47274e10i | 0.415115i | ||||||||
\(435\) | −1.09361e9 | + | 6.70860e10i | −0.0305425 | + | 1.87359i | ||||
\(436\) | 4.84652e10 | 1.34117 | ||||||||
\(437\) | −5.69613e9 | − | 6.41800e8i | −0.156190 | − | 0.0175984i | ||||
\(438\) | −1.36828e10 | − | 8.59744e9i | −0.371772 | − | 0.233600i | ||||
\(439\) | 5.93883e10 | + | 1.35550e10i | 1.59898 | + | 0.364957i | 0.926837 | − | 0.375464i | \(-0.122517\pi\) |
0.672143 | + | 0.740421i | \(0.265374\pi\) | |||||||
\(440\) | −3.42068e10 | + | 2.72790e10i | −0.912643 | + | 0.727809i | ||||
\(441\) | −6.57107e9 | − | 5.24026e9i | −0.173733 | − | 0.138547i | ||||
\(442\) | −1.73870e9 | − | 7.61774e9i | −0.0455550 | − | 0.199589i | ||||
\(443\) | −5.34865e10 | − | 1.87157e10i | −1.38877 | − | 0.485950i | −0.470671 | − | 0.882309i | \(-0.655988\pi\) |
−0.918096 | + | 0.396359i | \(0.870274\pi\) | |||||||
\(444\) | −3.49939e9 | − | 7.26656e9i | −0.0900452 | − | 0.186981i | ||||
\(445\) | 1.44611e10 | − | 9.08650e9i | 0.368774 | − | 0.231716i | ||||
\(446\) | 1.46055e10 | − | 5.11070e9i | 0.369129 | − | 0.129164i | ||||
\(447\) | 5.39106e10 | + | 5.39106e10i | 1.35034 | + | 1.35034i | ||||
\(448\) | −1.40852e10 | + | 2.92482e10i | −0.349663 | + | 0.726083i | ||||
\(449\) | −5.34598e8 | − | 4.74469e9i | −0.0131535 | − | 0.116741i | 0.985420 | − | 0.170141i | \(-0.0544225\pi\) |
−0.998573 | + | 0.0534008i | \(0.982994\pi\) | |||||||
\(450\) | −5.53691e9 | + | 6.23860e8i | −0.135026 | + | 0.0152138i | ||||
\(451\) | 5.31114e10 | + | 2.55771e10i | 1.28375 | + | 0.618223i | ||||
\(452\) | −3.66467e10 | + | 3.66467e10i | −0.877973 | + | 0.877973i | ||||
\(453\) | 7.50079e9 | + | 2.14360e10i | 0.178121 | + | 0.509040i | ||||
\(454\) | 1.39184e9 | + | 2.21510e9i | 0.0327617 | + | 0.0521399i | ||||
\(455\) | 5.42460e10 | − | 2.61235e10i | 1.26567 | − | 0.609516i | ||||
\(456\) | 7.85843e8 | − | 2.24581e9i | 0.0181751 | − | 0.0519414i | ||||
\(457\) | −6.52381e10 | + | 1.48902e10i | −1.49567 | + | 0.341377i | −0.890598 | − | 0.454792i | \(-0.849714\pi\) |
−0.605074 | + | 0.796169i | \(0.706857\pi\) | |||||||
\(458\) | 9.04123e7 | − | 1.13373e8i | 0.00205478 | − | 0.00257662i | ||||
\(459\) | 2.61915e10 | + | 3.28431e10i | 0.590078 | + | 0.739935i | ||||
\(460\) | 2.50267e10 | − | 1.09649e11i | 0.558948 | − | 2.44891i | ||||
\(461\) | −1.02631e10 | + | 1.63336e10i | −0.227234 | + | 0.361641i | −0.940809 | − | 0.338938i | \(-0.889932\pi\) |
0.713575 | + | 0.700579i | \(0.247075\pi\) | |||||||
\(462\) | −2.82312e9 | + | 2.50559e10i | −0.0619671 | + | 0.549973i | ||||
\(463\) | − | 8.18514e10i | − | 1.78116i | −0.454829 | − | 0.890579i | \(-0.650300\pi\) | ||
0.454829 | − | 0.890579i | \(-0.349700\pi\) | |||||||
\(464\) | 2.02597e10 | − | 3.11059e10i | 0.437080 | − | 0.671074i | ||||
\(465\) | −1.06536e11 | −2.27869 | ||||||||
\(466\) | −7.41607e9 | − | 8.35591e8i | −0.157264 | − | 0.0177194i | ||||
\(467\) | −2.23452e10 | − | 1.40404e10i | −0.469805 | − | 0.295198i | 0.276246 | − | 0.961087i | \(-0.410910\pi\) |
−0.746051 | + | 0.665889i | \(0.768052\pi\) | |||||||
\(468\) | 8.86716e9 | + | 2.02387e9i | 0.184842 | + | 0.0421890i | ||||
\(469\) | −9.05582e10 | + | 7.22178e10i | −1.87170 | + | 1.49263i | ||||
\(470\) | −2.06135e10 | − | 1.64387e10i | −0.422435 | − | 0.336880i | ||||
\(471\) | 1.10266e10 | + | 4.83105e10i | 0.224056 | + | 0.981653i | ||||
\(472\) | −1.62656e10 | − | 5.69157e9i | −0.327719 | − | 0.114674i | ||||
\(473\) | −1.36892e10 | − | 2.84258e10i | −0.273484 | − | 0.567895i | ||||
\(474\) | 2.26366e9 | − | 1.42235e9i | 0.0448433 | − | 0.0281769i | ||||
\(475\) | 7.70405e9 | − | 2.69576e9i | 0.151337 | − | 0.0529551i | ||||
\(476\) | 5.31379e10 | + | 5.31379e10i | 1.03509 | + | 1.03509i | ||||
\(477\) | 2.31781e7 | − | 4.81298e7i | 0.000447718 | − | 0.000929695i | ||||
\(478\) | 2.38699e9 | + | 2.11851e10i | 0.0457235 | + | 0.405807i | ||||
\(479\) | 5.55986e10 | − | 6.26445e9i | 1.05614 | − | 0.118998i | 0.433223 | − | 0.901287i | \(-0.357376\pi\) |
0.622917 | + | 0.782288i | \(0.285948\pi\) | |||||||
\(480\) | 6.38304e10 | + | 3.07391e10i | 1.20244 | + | 0.579064i | ||||
\(481\) | 4.82337e9 | − | 4.82337e9i | 0.0901095 | − | 0.0901095i | ||||
\(482\) | −4.85382e7 | − | 1.38714e8i | −0.000899281 | − | 0.00257000i | ||||
\(483\) | −7.14811e10 | − | 1.13762e11i | −1.31342 | − | 2.09029i | ||||
\(484\) | −4.63545e10 | + | 2.23231e10i | −0.844715 | + | 0.406793i | ||||
\(485\) | −1.08704e10 | + | 3.10657e10i | −0.196461 | + | 0.561454i | ||||
\(486\) | 8.51131e9 | − | 1.94265e9i | 0.152564 | − | 0.0348217i | ||||
\(487\) | −5.85962e10 | + | 7.34774e10i | −1.04173 | + | 1.30628i | −0.0911357 | + | 0.995838i | \(0.529050\pi\) |
−0.950591 | + | 0.310446i | \(0.899522\pi\) | |||||||
\(488\) | 4.52351e9 | + | 5.67230e9i | 0.0797620 | + | 0.100018i | ||||
\(489\) | −1.32403e10 | + | 5.80094e10i | −0.231559 | + | 1.01453i | ||||
\(490\) | 9.36466e9 | − | 1.49038e10i | 0.162445 | − | 0.258530i | ||||
\(491\) | −3.05871e9 | + | 2.71468e10i | −0.0526274 | + | 0.467081i | 0.939566 | + | 0.342369i | \(0.111229\pi\) |
−0.992193 | + | 0.124712i | \(0.960199\pi\) | |||||||
\(492\) | − | 6.28994e10i | − | 1.07346i | ||||||
\(493\) | −4.32513e10 | − | 5.60870e10i | −0.732170 | − | 0.949456i | ||||
\(494\) | 9.70802e8 | 0.0163013 | ||||||||
\(495\) | −4.29401e10 | − | 4.83819e9i | −0.715224 | − | 0.0805864i | ||||
\(496\) | 4.99089e10 | + | 3.13598e10i | 0.824615 | + | 0.518140i | ||||
\(497\) | 3.60744e10 | + | 8.23375e9i | 0.591253 | + | 0.134950i | ||||
\(498\) | 1.71229e10 | − | 1.36550e10i | 0.278394 | − | 0.222012i | ||||
\(499\) | −7.49531e10 | − | 5.97731e10i | −1.20889 | − | 0.964059i | −0.208987 | − | 0.977918i | \(-0.567017\pi\) |
−0.999904 | + | 0.0138598i | \(0.995588\pi\) | |||||||
\(500\) | 1.44166e10 | + | 6.31631e10i | 0.230665 | + | 1.01061i | ||||
\(501\) | 1.06514e11 | + | 3.72708e10i | 1.69066 | + | 0.591586i | ||||
\(502\) | −1.99831e9 | − | 4.14954e9i | −0.0314665 | − | 0.0653409i | ||||
\(503\) | 7.41600e10 | − | 4.65978e10i | 1.15850 | − | 0.727937i | 0.191200 | − | 0.981551i | \(-0.438762\pi\) |
0.967305 | + | 0.253614i | \(0.0816194\pi\) | |||||||
\(504\) | 1.24707e10 | − | 4.36369e9i | 0.193272 | − | 0.0676289i | ||||
\(505\) | 2.29374e10 | + | 2.29374e10i | 0.352679 | + | 0.352679i | ||||
\(506\) | −1.72840e10 | + | 3.58905e10i | −0.263658 | + | 0.547492i | ||||
\(507\) | −4.83343e9 | − | 4.28979e10i | −0.0731515 | − | 0.649238i | ||||
\(508\) | −6.81882e10 | + | 7.68296e9i | −1.02389 | + | 0.115365i | ||||
\(509\) | 4.56433e10 | + | 2.19806e10i | 0.679995 | + | 0.327468i | 0.741801 | − | 0.670620i | \(-0.233972\pi\) |
−0.0618064 | + | 0.998088i | \(0.519686\pi\) | |||||||
\(510\) | 2.80090e10 | − | 2.80090e10i | 0.414016 | − | 0.414016i | ||||
\(511\) | 4.34135e10 | + | 1.24069e11i | 0.636709 | + | 1.81961i | ||||
\(512\) | −3.55974e10 | − | 5.66530e10i | −0.518011 | − | 0.824410i | ||||
\(513\) | −4.70238e9 | + | 2.26454e9i | −0.0678966 | + | 0.0326973i | ||||
\(514\) | −1.76436e7 | + | 5.04225e7i | −0.000252775 | + | 0.000722390i | ||||
\(515\) | −6.76739e10 | + | 1.54461e10i | −0.962039 | + | 0.219579i | ||||
\(516\) | −2.09895e10 | + | 2.63199e10i | −0.296075 | + | 0.371267i | ||||
\(517\) | −7.99062e10 | − | 1.00199e11i | −1.11845 | − | 1.40250i | ||||
\(518\) | 1.06372e9 | − | 4.66046e9i | 0.0147743 | − | 0.0647306i | ||||
\(519\) | 4.17491e10 | − | 6.64433e10i | 0.575410 | − | 0.915760i | ||||
\(520\) | −4.42073e9 | + | 3.92351e10i | −0.0604618 | + | 0.536613i | ||||
\(521\) | − | 1.64271e10i | − | 0.222952i | −0.993767 | − | 0.111476i | \(-0.964442\pi\) | ||
0.993767 | − | 0.111476i | \(-0.0355578\pi\) | |||||||
\(522\) | −5.87771e9 | + | 1.24112e9i | −0.0791637 | + | 0.0167159i | ||||
\(523\) | −2.50753e10 | −0.335150 | −0.167575 | − | 0.985859i | \(-0.553594\pi\) | ||||
−0.167575 | + | 0.985859i | \(0.553594\pi\) | |||||||
\(524\) | −7.23958e10 | − | 8.15704e9i | −0.960258 | − | 0.108195i | ||||
\(525\) | 1.61986e11 | + | 1.01782e11i | 2.13226 | + | 1.33979i | ||||
\(526\) | 1.28515e10 | + | 2.93327e9i | 0.167885 | + | 0.0383186i | ||||
\(527\) | 8.79261e10 | − | 7.01187e10i | 1.13992 | − | 0.909058i | ||||
\(528\) | 7.88989e10 | + | 6.29198e10i | 1.01516 | + | 0.809564i | ||||
\(529\) | −2.98072e10 | − | 1.30594e11i | −0.380626 | − | 1.66763i | ||||
\(530\) | 1.05597e8 | + | 3.69502e7i | 0.00133829 | + | 0.000468288i | ||||
\(531\) | −7.38461e9 | − | 1.53343e10i | −0.0928858 | − | 0.192879i | ||||
\(532\) | −7.90565e9 | + | 4.96745e9i | −0.0986941 | + | 0.0620136i | ||||
\(533\) | 5.02125e10 | − | 1.75701e10i | 0.622161 | − | 0.217704i | ||||
\(534\) | 4.56405e9 | + | 4.56405e9i | 0.0561288 | + | 0.0561288i | ||||
\(535\) | −4.56248e10 | + | 9.47409e10i | −0.556911 | + | 1.15644i | ||||
\(536\) | −8.50455e9 | − | 7.54800e10i | −0.103037 | − | 0.914477i | ||||
\(537\) | −5.00100e9 | + | 5.63478e8i | −0.0601395 | + | 0.00677610i | ||||
\(538\) | −2.21886e10 | − | 1.06855e10i | −0.264851 | − | 0.127545i | ||||
\(539\) | 6.04996e10 | − | 6.04996e10i | 0.716799 | − | 0.716799i | ||||
\(540\) | −3.38221e10 | − | 9.66581e10i | −0.397764 | − | 1.13675i | ||||
\(541\) | 2.29042e10 | + | 3.64519e10i | 0.267378 | + | 0.425530i | 0.953246 | − | 0.302196i | \(-0.0977198\pi\) |
−0.685867 | + | 0.727727i | \(0.740577\pi\) | |||||||
\(542\) | 1.07900e10 | − | 5.19620e9i | 0.125033 | − | 0.0602128i | ||||
\(543\) | 5.58067e10 | − | 1.59487e11i | 0.641930 | − | 1.83453i | ||||
\(544\) | −7.29119e10 | + | 1.66417e10i | −0.832536 | + | 0.190021i | ||||
\(545\) | −1.29558e11 | + | 1.62461e11i | −1.46852 | + | 1.84146i | ||||
\(546\) | 1.41871e10 | + | 1.77901e10i | 0.159633 | + | 0.200174i | ||||
\(547\) | 9.22487e8 | − | 4.04168e9i | 0.0103041 | − | 0.0451453i | −0.969515 | − | 0.245034i | \(-0.921201\pi\) |
0.979819 | + | 0.199889i | \(0.0640580\pi\) | |||||||
\(548\) | 4.51871e10 | − | 7.19148e10i | 0.501063 | − | 0.797437i | ||||
\(549\) | −8.02287e8 | + | 7.12049e9i | −0.00883162 | + | 0.0783828i | ||||
\(550\) | − | 5.67220e10i | − | 0.619870i | ||||||
\(551\) | 7.98955e9 | − | 3.68837e9i | 0.0866794 | − | 0.0400155i | ||||
\(552\) | 8.81069e10 | 0.948973 | ||||||||
\(553\) | −2.16094e10 | − | 2.43479e9i | −0.231069 | − | 0.0260352i | ||||
\(554\) | −1.94457e9 | − | 1.22186e9i | −0.0206436 | − | 0.0129712i | ||||
\(555\) | 3.37130e10 | + | 7.69477e9i | 0.355325 | + | 0.0811005i | ||||
\(556\) | 2.74954e10 | − | 2.19269e10i | 0.287714 | − | 0.229444i | ||||
\(557\) | 9.08472e10 | + | 7.24483e10i | 0.943824 | + | 0.752674i | 0.969013 | − | 0.247008i | \(-0.0794475\pi\) |
−0.0251894 | + | 0.999683i | \(0.508019\pi\) | |||||||
\(558\) | −2.12255e9 | − | 9.29951e9i | −0.0218938 | − | 0.0959231i | ||||
\(559\) | −2.68743e10 | − | 9.40372e9i | −0.275226 | − | 0.0963058i | ||||
\(560\) | −7.32706e10 | − | 1.52148e11i | −0.745036 | − | 1.54708i | ||||
\(561\) | 1.63030e11 | − | 1.02439e11i | 1.64595 | − | 1.03422i | ||||
\(562\) | −1.91166e10 | + | 6.68917e9i | −0.191630 | + | 0.0670544i | ||||
\(563\) | 6.49284e10 | + | 6.49284e10i | 0.646251 | + | 0.646251i | 0.952085 | − | 0.305834i | \(-0.0989353\pi\) |
−0.305834 | + | 0.952085i | \(0.598935\pi\) | |||||||
\(564\) | −5.93325e10 | + | 1.23205e11i | −0.586377 | + | 1.21762i | ||||
\(565\) | −2.48792e10 | − | 2.20809e11i | −0.244142 | − | 2.16682i | ||||
\(566\) | 1.64426e10 | − | 1.85264e9i | 0.160216 | − | 0.0180520i | ||||
\(567\) | −1.48086e11 | − | 7.13145e10i | −1.43279 | − | 0.689995i | ||||
\(568\) | −1.71581e10 | + | 1.71581e10i | −0.164845 | + | 0.164845i | ||||
\(569\) | 2.47572e10 | + | 7.07519e10i | 0.236185 | + | 0.674977i | 0.999578 | + | 0.0290432i | \(0.00924605\pi\) |
−0.763394 | + | 0.645934i | \(0.776468\pi\) | |||||||
\(570\) | 2.61835e9 | + | 4.16708e9i | 0.0248043 | + | 0.0394759i | ||||
\(571\) | 7.43188e10 | − | 3.57900e10i | 0.699124 | − | 0.336680i | −0.0503338 | − | 0.998732i | \(-0.516029\pi\) |
0.749458 | + | 0.662052i | \(0.230314\pi\) | |||||||
\(572\) | −3.05800e10 | + | 8.73926e10i | −0.285662 | + | 0.816376i | ||||
\(573\) | −1.67359e11 | + | 3.81986e10i | −1.55250 | + | 0.354348i | ||||
\(574\) | 2.32441e10 | − | 2.91472e10i | 0.214124 | − | 0.268503i | ||||
\(575\) | 1.88445e11 | + | 2.36303e11i | 1.72391 | + | 2.16171i | ||||
\(576\) | 4.67864e9 | − | 2.04985e10i | 0.0425040 | − | 0.186222i | ||||
\(577\) | −6.00507e10 | + | 9.55701e10i | −0.541770 | + | 0.862222i | −0.999641 | − | 0.0267970i | \(-0.991469\pi\) |
0.457871 | + | 0.889019i | \(0.348612\pi\) | |||||||
\(578\) | −1.42495e9 | + | 1.26468e10i | −0.0127670 | + | 0.113310i | ||||
\(579\) | 8.33859e10i | 0.741956i | ||||||||
\(580\) | 5.43614e10 | + | 1.63877e11i | 0.480373 | + | 1.44812i | ||||
\(581\) | −1.78146e11 | −1.56340 | ||||||||
\(582\) | −1.23603e10 | − | 1.39268e9i | −0.107730 | − | 0.0121383i | ||||
\(583\) | 4.60458e8 | + | 2.89325e8i | 0.00398581 | + | 0.00250445i | ||||
\(584\) | −8.40374e10 | − | 1.91810e10i | −0.722472 | − | 0.164900i | ||||
\(585\) | −3.04881e10 | + | 2.43135e10i | −0.260320 | + | 0.207598i | ||||
\(586\) | 2.76243e10 | + | 2.20297e10i | 0.234262 | + | 0.186817i | ||||
\(587\) | 1.24301e10 | + | 5.44598e10i | 0.104694 | + | 0.458695i | 0.999915 | + | 0.0130712i | \(0.00416082\pi\) |
−0.895221 | + | 0.445623i | \(0.852982\pi\) | |||||||
\(588\) | −8.61697e10 | − | 3.01521e10i | −0.720850 | − | 0.252236i | ||||
\(589\) | 6.06254e9 | + | 1.25890e10i | 0.0503725 | + | 0.104600i | ||||
\(590\) | 3.01805e10 | − | 1.89637e10i | 0.249069 | − | 0.156500i | ||||
\(591\) | −5.62362e10 | + | 1.96779e10i | −0.460963 | + | 0.161298i | ||||
\(592\) | −1.35285e10 | − | 1.35285e10i | −0.110144 | − | 0.110144i | ||||
\(593\) | −2.63307e10 | + | 5.46762e10i | −0.212933 | + | 0.442160i | −0.979890 | − | 0.199539i | \(-0.936056\pi\) |
0.766957 | + | 0.641699i | \(0.221770\pi\) | |||||||
\(594\) | 4.06105e9 | + | 3.60428e10i | 0.0326206 | + | 0.289516i | ||||
\(595\) | −3.20173e11 | + | 3.60749e10i | −2.55457 | + | 0.287831i | ||||
\(596\) | 1.76765e11 | + | 8.51255e10i | 1.40091 | + | 0.674644i | ||||
\(597\) | 1.32738e10 | − | 1.32738e10i | 0.104496 | − | 0.104496i | ||||
\(598\) | 1.18732e10 | + | 3.39316e10i | 0.0928457 | + | 0.265338i | ||||
\(599\) | 2.97887e9 | + | 4.74085e9i | 0.0231390 | + | 0.0368255i | 0.858093 | − | 0.513493i | \(-0.171649\pi\) |
−0.834954 | + | 0.550319i | \(0.814506\pi\) | |||||||
\(600\) | −1.13032e11 | + | 5.44333e10i | −0.872160 | + | 0.420010i | ||||
\(601\) | 5.90647e10 | − | 1.68797e11i | 0.452720 | − | 1.29380i | −0.460980 | − | 0.887411i | \(-0.652502\pi\) |
0.913700 | − | 0.406389i | \(-0.133212\pi\) | |||||||
\(602\) | −1.94528e10 | + | 4.43996e9i | −0.148114 | + | 0.0338060i | ||||
\(603\) | 4.67740e10 | − | 5.86527e10i | 0.353781 | − | 0.443628i | ||||
\(604\) | 3.64378e10 | + | 4.56916e10i | 0.273782 | + | 0.343312i | ||||
\(605\) | 4.90861e10 | − | 2.15060e11i | 0.366384 | − | 1.60523i | ||||
\(606\) | −6.52235e9 | + | 1.03803e10i | −0.0483631 | + | 0.0769694i | ||||
\(607\) | 1.52926e10 | − | 1.35725e11i | 0.112649 | − | 0.999784i | −0.802496 | − | 0.596658i | \(-0.796495\pi\) |
0.915144 | − | 0.403126i | \(-0.132076\pi\) | |||||||
\(608\) | − | 9.29186e9i | − | 0.0679968i | ||||||
\(609\) | 1.84348e11 | + | 9.25085e10i | 1.34020 | + | 0.672531i | ||||
\(610\) | −1.50065e10 | −0.108383 | ||||||||
\(611\) | −1.14928e11 | − | 1.29493e10i | −0.824636 | − | 0.0929141i | ||||
\(612\) | −4.12118e10 | − | 2.58951e10i | −0.293775 | − | 0.184591i | ||||
\(613\) | −1.81516e11 | − | 4.14299e10i | −1.28551 | − | 0.293408i | −0.475440 | − | 0.879748i | \(-0.657711\pi\) |
−0.810065 | + | 0.586340i | \(0.800568\pi\) | |||||||
\(614\) | −4.58124e10 | + | 3.65342e10i | −0.322337 | + | 0.257055i | ||||
\(615\) | 2.10846e11 | + | 1.68144e11i | 1.47389 | + | 1.17539i | ||||
\(616\) | 2.99287e10 | + | 1.31126e11i | 0.207857 | + | 0.910683i | ||||
\(617\) | 1.87841e11 | + | 6.57285e10i | 1.29613 | + | 0.453537i | 0.888193 | − | 0.459471i | \(-0.151961\pi\) |
0.407942 | + | 0.913008i | \(0.366247\pi\) | |||||||
\(618\) | −1.13823e10 | − | 2.36355e10i | −0.0780324 | − | 0.162036i | ||||
\(619\) | 1.88837e11 | − | 1.18654e11i | 1.28625 | − | 0.808205i | 0.297062 | − | 0.954858i | \(-0.403993\pi\) |
0.989188 | + | 0.146654i | \(0.0468503\pi\) | |||||||
\(620\) | −2.58769e11 | + | 9.05471e10i | −1.75124 | + | 0.612785i | ||||
\(621\) | −1.36662e11 | − | 1.36662e11i | −0.918927 | − | 0.918927i | ||||
\(622\) | −1.45852e10 | + | 3.02864e10i | −0.0974427 | + | 0.202342i | ||||
\(623\) | −5.87838e9 | − | 5.21721e10i | −0.0390217 | − | 0.346327i | ||||
\(624\) | 9.04969e10 | − | 1.01966e10i | 0.596891 | − | 0.0672535i | ||||
\(625\) | −1.93876e10 | − | 9.33656e9i | −0.127058 | − | 0.0611881i | ||||
\(626\) | −2.45893e10 | + | 2.45893e10i | −0.160121 | + | 0.160121i | ||||
\(627\) | 7.90103e9 | + | 2.25798e10i | 0.0511227 | + | 0.146100i | ||||
\(628\) | 6.78428e10 | + | 1.07971e11i | 0.436180 | + | 0.694176i | ||||
\(629\) | −3.28884e10 | + | 1.58382e10i | −0.210107 | + | 0.101182i | ||||
\(630\) | −9.02586e9 | + | 2.57944e10i | −0.0572963 | + | 0.163743i | ||||
\(631\) | −1.46696e11 | + | 3.34825e10i | −0.925341 | + | 0.211203i | −0.658538 | − | 0.752548i | \(-0.728825\pi\) |
−0.266804 | + | 0.963751i | \(0.585968\pi\) | |||||||
\(632\) | 8.89134e9 | − | 1.11494e10i | 0.0557313 | − | 0.0698848i | ||||
\(633\) | 8.33073e10 | + | 1.04464e11i | 0.518881 | + | 0.650657i | ||||
\(634\) | 5.79927e9 | − | 2.54082e10i | 0.0358935 | − | 0.157260i | ||||
\(635\) | 1.56528e11 | − | 2.49113e11i | 0.962713 | − | 1.53215i | ||||
\(636\) | 6.49677e7 | − | 5.76604e8i | 0.000397072 | − | 0.00352411i | ||||
\(637\) | − | 7.72117e10i | − | 0.468948i | ||||||
\(638\) | −5.85566e9 | − | 6.08730e10i | −0.0353421 | − | 0.367402i | ||||
\(639\) | −2.39655e10 | −0.143742 | ||||||||
\(640\) | 2.38123e11 | + | 2.68300e10i | 1.41932 | + | 0.159919i | ||||
\(641\) | 7.60940e10 | + | 4.78130e10i | 0.450732 | + | 0.283214i | 0.738207 | − | 0.674575i | \(-0.235673\pi\) |
−0.287475 | + | 0.957788i | \(0.592816\pi\) | |||||||
\(642\) | −3.87442e10 | − | 8.84312e9i | −0.228069 | − | 0.0520554i | ||||
\(643\) | 1.53540e10 | − | 1.22444e10i | 0.0898210 | − | 0.0716299i | −0.577550 | − | 0.816355i | \(-0.695991\pi\) |
0.667371 | + | 0.744726i | \(0.267420\pi\) | |||||||
\(644\) | −2.70311e11 | − | 2.15566e11i | −1.57152 | − | 1.25325i | ||||
\(645\) | −3.21180e10 | − | 1.40718e11i | −0.185571 | − | 0.813039i | ||||
\(646\) | −4.90361e9 | − | 1.71585e9i | −0.0281570 | − | 0.00985255i | ||||
\(647\) | 3.88482e10 | + | 8.06692e10i | 0.221694 | + | 0.460353i | 0.981918 | − | 0.189309i | \(-0.0606248\pi\) |
−0.760223 | + | 0.649662i | \(0.774911\pi\) | |||||||
\(648\) | 9.12648e10 | − | 5.73455e10i | 0.517611 | − | 0.325236i | ||||
\(649\) | 1.63537e11 | − | 5.72242e10i | 0.921803 | − | 0.322553i | ||||
\(650\) | −3.61953e10 | − | 3.61953e10i | −0.202768 | − | 0.202768i | ||||
\(651\) | −1.42098e11 | + | 2.95070e11i | −0.791160 | + | 1.64286i | ||||
\(652\) | 1.71437e10 | + | 1.52154e11i | 0.0948666 | + | 0.841964i | ||||
\(653\) | −2.14577e11 | + | 2.41771e10i | −1.18013 | + | 0.132969i | −0.680155 | − | 0.733068i | \(-0.738087\pi\) |
−0.499979 | + | 0.866038i | \(0.666659\pi\) | |||||||
\(654\) | −7.07542e10 | − | 3.40734e10i | −0.386760 | − | 0.186254i | ||||
\(655\) | 2.20873e11 | − | 2.20873e11i | 1.19999 | − | 1.19999i | ||||
\(656\) | −4.92803e10 | − | 1.40835e11i | −0.266108 | − | 0.760492i | ||||
\(657\) | −4.52941e10 | − | 7.20851e10i | −0.243097 | − | 0.386887i | ||||
\(658\) | −7.30241e10 | + | 3.51665e10i | −0.389549 | + | 0.187597i | ||||
\(659\) | −1.47168e10 | + | 4.20581e10i | −0.0780316 | + | 0.223001i | −0.976290 | − | 0.216466i | \(-0.930547\pi\) |
0.898259 | + | 0.439467i | \(0.144833\pi\) | |||||||
\(660\) | −4.57602e11 | + | 1.04445e11i | −2.41164 | + | 0.550440i | ||||
\(661\) | −9.43442e10 | + | 1.18304e11i | −0.494207 | + | 0.619717i | −0.964912 | − | 0.262575i | \(-0.915428\pi\) |
0.470704 | + | 0.882291i | \(0.344000\pi\) | |||||||
\(662\) | −9.26791e9 | − | 1.16216e10i | −0.0482559 | − | 0.0605109i | ||||
\(663\) | 3.86645e10 | − | 1.69400e11i | 0.200105 | − | 0.876718i | ||||
\(664\) | 6.21541e10 | − | 9.89177e10i | 0.319740 | − | 0.508864i | ||||
\(665\) | 4.48210e9 | − | 3.97797e10i | 0.0229190 | − | 0.203411i | ||||
\(666\) | 3.09611e9i | 0.0157369i | ||||||||
\(667\) | 2.26631e11 | + | 2.34142e11i | 1.14503 | + | 1.18298i | ||||
\(668\) | 2.90392e11 | 1.45841 | ||||||||
\(669\) | 3.41938e11 | + | 3.85272e10i | 1.70704 | + | 0.192337i | ||||
\(670\) | 1.33029e11 | + | 8.35879e10i | 0.660159 | + | 0.414805i | ||||
\(671\) | −7.11158e10 | − | 1.62317e10i | −0.350813 | − | 0.0800708i | ||||
\(672\) | 1.70275e11 | − | 1.35789e11i | 0.834973 | − | 0.665869i | ||||
\(673\) | −1.99575e11 | − | 1.59156e11i | −0.972849 | − | 0.775821i | 0.00169948 | − | 0.999999i | \(-0.499459\pi\) |
−0.974548 | + | 0.224177i | \(0.928030\pi\) | |||||||
\(674\) | −1.08713e9 | − | 4.76305e9i | −0.00526797 | − | 0.0230805i | ||||
\(675\) | 2.59754e11 | + | 9.08918e10i | 1.25126 | + | 0.437834i | ||||
\(676\) | −4.81998e10 | − | 1.00088e11i | −0.230812 | − | 0.479286i | ||||
\(677\) | 7.44387e10 | − | 4.67730e10i | 0.354360 | − | 0.222659i | −0.343074 | − | 0.939308i | \(-0.611468\pi\) |
0.697434 | + | 0.716649i | \(0.254325\pi\) | |||||||
\(678\) | 7.92649e10 | − | 2.77360e10i | 0.375113 | − | 0.131258i | ||||
\(679\) | 7.15429e10 | + | 7.15429e10i | 0.336580 | + | 0.336580i | ||||
\(680\) | 9.16758e10 | − | 1.90367e11i | 0.428765 | − | 0.890339i | ||||
\(681\) | 6.51358e9 | + | 5.78096e10i | 0.0302853 | + | 0.268789i | ||||
\(682\) | 9.64922e10 | − | 1.08721e10i | 0.446021 | − | 0.0502544i | ||||
\(683\) | −1.95879e11 | − | 9.43305e10i | −0.900131 | − | 0.433480i | −0.0741949 | − | 0.997244i | \(-0.523639\pi\) |
−0.825936 | + | 0.563763i | \(0.809353\pi\) | |||||||
\(684\) | 4.27603e9 | − | 4.27603e9i | 0.0195351 | − | 0.0195351i | ||||
\(685\) | 1.20272e11 | + | 3.43716e11i | 0.546262 | + | 1.56113i | ||||
\(686\) | 1.14329e10 | + | 1.81953e10i | 0.0516248 | + | 0.0821604i | ||||
\(687\) | 2.90533e9 | − | 1.39913e9i | 0.0130427 | − | 0.00628105i | ||||
\(688\) | −2.63754e10 | + | 7.53764e10i | −0.117718 | + | 0.336420i | ||||
\(689\) | 4.78450e8 | − | 1.09203e8i | 0.00212305 | − | 0.000484572i | ||||
\(690\) | −1.13625e11 | + | 1.42481e11i | −0.501277 | + | 0.628581i | ||||
\(691\) | −1.55911e11 | − | 1.95506e11i | −0.683856 | − | 0.857528i | 0.311847 | − | 0.950132i | \(-0.399052\pi\) |
−0.995703 | + | 0.0926039i | \(0.970481\pi\) | |||||||
\(692\) | 4.49342e10 | − | 1.96870e11i | 0.195953 | − | 0.858528i | ||||
\(693\) | −7.06739e10 | + | 1.12477e11i | −0.306426 | + | 0.487674i | ||||
\(694\) | 4.70191e9 | − | 4.17306e10i | 0.0202692 | − | 0.179894i | ||||
\(695\) | 1.50783e11i | 0.646270i | ||||||||
\(696\) | −1.15684e11 | + | 7.00856e10i | −0.492990 | + | 0.298670i | ||||
\(697\) | −2.84682e11 | −1.20623 | ||||||||
\(698\) | −1.95687e10 | − | 2.20486e9i | −0.0824404 | − | 0.00928880i | ||||
\(699\) | −1.40522e11 | − | 8.82956e10i | −0.588619 | − | 0.369854i | ||||
\(700\) | 4.79959e11 | + | 1.09548e11i | 1.99900 | + | 0.456258i | ||||
\(701\) | 1.29378e11 | − | 1.03175e11i | 0.535782 | − | 0.427272i | −0.317856 | − | 0.948139i | \(-0.602963\pi\) |
0.853638 | + | 0.520867i | \(0.174391\pi\) | |||||||
\(702\) | 2.55910e10 | + | 2.04081e10i | 0.105375 | + | 0.0840339i | ||||
\(703\) | −1.00921e9 | − | 4.42163e9i | −0.00413199 | − | 0.0181034i | ||||
\(704\) | 2.02028e11 | + | 7.06926e10i | 0.822471 | + | 0.287795i | ||||
\(705\) | −2.54389e11 | − | 5.28245e11i | −1.02977 | − | 2.13835i | ||||
\(706\) | −6.68582e10 | + | 4.20098e10i | −0.269114 | + | 0.169095i | ||||
\(707\) | 9.41232e10 | − | 3.29351e10i | 0.376720 | − | 0.131820i | ||||
\(708\) | −1.30723e11 | − | 1.30723e11i | −0.520258 | − | 0.520258i | ||||
\(709\) | −8.47744e10 | + | 1.76036e11i | −0.335490 | + | 0.696653i | −0.998656 | − | 0.0518194i | \(-0.983498\pi\) |
0.663166 | + | 0.748472i | \(0.269212\pi\) | |||||||
\(710\) | −5.61950e9 | − | 4.98745e10i | −0.0221139 | − | 0.196266i | ||||
\(711\) | 1.39959e10 | − | 1.57696e9i | 0.0547676 | − | 0.00617082i | ||||
\(712\) | 3.10201e10 | + | 1.49385e10i | 0.120705 | + | 0.0581283i | ||||
\(713\) | −3.65865e11 | + | 3.65865e11i | −1.41567 | + | 1.41567i | ||||
\(714\) | −4.02173e10 | − | 1.14934e11i | −0.154746 | − | 0.442239i | ||||
\(715\) | −2.11203e11 | − | 3.36127e11i | −0.808119 | − | 1.28611i | ||||
\(716\) | −1.16682e10 | + | 5.61910e9i | −0.0443968 | + | 0.0213804i | ||||
\(717\) | −1.56581e11 | + | 4.47483e11i | −0.592465 | + | 1.69317i | ||||
\(718\) | −8.73504e10 | + | 1.99372e10i | −0.328675 | + | 0.0750180i | ||||
\(719\) | 9.49908e10 | − | 1.19115e11i | 0.355440 | − | 0.445707i | −0.571678 | − | 0.820478i | \(-0.693707\pi\) |
0.927117 | + | 0.374771i | \(0.122279\pi\) | |||||||
\(720\) | 6.81939e10 | + | 8.55125e10i | 0.253756 | + | 0.318200i | ||||
\(721\) | −4.74830e10 | + | 2.08037e11i | −0.175710 | + | 0.769838i | ||||
\(722\) | −3.73336e10 | + | 5.94161e10i | −0.137389 | + | 0.218653i | ||||
\(723\) | 3.65907e8 | − | 3.24751e9i | 0.00133911 | − | 0.0118850i | ||||
\(724\) | − | 4.34813e11i | − | 1.58252i | ||||||
\(725\) | −4.35398e11 | − | 1.60365e11i | −1.57592 | − | 0.580440i | ||||
\(726\) | 8.33670e10 | 0.300087 | ||||||||
\(727\) | 6.26670e10 | + | 7.06088e9i | 0.224337 | + | 0.0252767i | 0.223418 | − | 0.974723i | \(-0.428279\pi\) |
0.000919785 | 1.00000i | \(0.499707\pi\) | ||||||||
\(728\) | 1.02772e11 | + | 6.45759e10i | 0.365889 | + | 0.229903i | ||||
\(729\) | −1.45023e11 | − | 3.31005e10i | −0.513483 | − | 0.117199i | ||||
\(730\) | 1.39395e11 | − | 1.11164e11i | 0.490858 | − | 0.391446i | ||||
\(731\) | 1.19124e11 | + | 9.49981e10i | 0.417186 | + | 0.332694i | ||||
\(732\) | 1.73194e10 | + | 7.58813e10i | 0.0603238 | + | 0.264296i | ||||
\(733\) | −9.69585e10 | − | 3.39272e10i | −0.335869 | − | 0.117526i | 0.157075 | − | 0.987587i | \(-0.449794\pi\) |
−0.492944 | + | 0.870061i | \(0.664079\pi\) | |||||||
\(734\) | 4.59357e10 | + | 9.53864e10i | 0.158258 | + | 0.328626i | ||||
\(735\) | 3.31424e11 | − | 2.08247e11i | 1.13562 | − | 0.713559i | ||||
\(736\) | 3.24770e11 | − | 1.13642e11i | 1.10679 | − | 0.387282i | ||||
\(737\) | 5.40013e11 | + | 5.40013e11i | 1.83035 | + | 1.83035i | ||||
\(738\) | −1.04765e10 | + | 2.17547e10i | −0.0353176 | + | 0.0733378i | ||||
\(739\) | 5.86804e10 | + | 5.20803e11i | 0.196750 | + | 1.74621i | 0.572880 | + | 0.819639i | \(0.305826\pi\) |
−0.376130 | + | 0.926567i | \(0.622746\pi\) | |||||||
\(740\) | 8.84265e10 | − | 9.96328e9i | 0.294887 | − | 0.0332258i | ||||
\(741\) | 1.94504e10 | + | 9.36681e9i | 0.0645142 | + | 0.0310684i | ||||
\(742\) | 2.43186e8 | − | 2.43186e8i | 0.000802275 | − | 0.000802275i | ||||
\(743\) | −6.80049e10 | − | 1.94347e11i | −0.223144 | − | 0.637709i | −0.999968 | − | 0.00799123i | \(-0.997456\pi\) |
0.776824 | − | 0.629718i | \(-0.216829\pi\) | |||||||
\(744\) | −1.14264e11 | − | 1.81850e11i | −0.372922 | − | 0.593501i | ||||
\(745\) | −7.57882e11 | + | 3.64977e11i | −2.46024 | + | 1.18479i | ||||
\(746\) | −2.47655e10 | + | 7.07757e10i | −0.0799635 | + | 0.228523i | ||||
\(747\) | 1.12489e11 | − | 2.56748e10i | 0.361265 | − | 0.0824563i | ||||
\(748\) | 3.08925e11 | − | 3.87379e11i | 0.986839 | − | 1.23746i | ||||
\(749\) | 2.01547e11 | + | 2.52732e11i | 0.640396 | + | 0.803031i | ||||
\(750\) | 2.33601e10 | − | 1.02347e11i | 0.0738294 | − | 0.323468i | ||||
\(751\) | 2.50538e10 | − | 3.98730e10i | 0.0787616 | − | 0.125348i | −0.805021 | − | 0.593247i | \(-0.797846\pi\) |
0.883782 | + | 0.467898i | \(0.154989\pi\) | |||||||
\(752\) | −3.63200e10 | + | 3.22349e11i | −0.113573 | + | 1.00799i | ||||
\(753\) | − | 1.02418e11i | − | 0.318565i | ||||||
\(754\) | −4.25807e10 | − | 3.51075e10i | −0.131743 | − | 0.108621i | ||||
\(755\) | −2.50570e11 | −0.771154 | ||||||||
\(756\) | −3.12823e11 | − | 3.52467e10i | −0.957662 | − | 0.107903i | ||||
\(757\) | −2.58993e11 | − | 1.62736e11i | −0.788686 | − | 0.495565i | 0.0764668 | − | 0.997072i | \(-0.475636\pi\) |
−0.865153 | + | 0.501508i | \(0.832779\pi\) | |||||||
\(758\) | 1.44271e11 | + | 3.29289e10i | 0.437021 | + | 0.0997471i | ||||
\(759\) | −6.92581e11 | + | 5.52315e11i | −2.08691 | + | 1.66426i | ||||
\(760\) | 2.05244e10 | + | 1.63677e10i | 0.0615200 | + | 0.0490606i | ||||
\(761\) | 7.96785e9 | + | 3.49094e10i | 0.0237576 | + | 0.104089i | 0.985417 | − | 0.170159i | \(-0.0544282\pi\) |
−0.961659 | + | 0.274248i | \(0.911571\pi\) | |||||||
\(762\) | 1.04949e11 | + | 3.67233e10i | 0.311286 | + | 0.108924i | ||||
\(763\) | 2.77158e11 | + | 5.75525e11i | 0.817767 | + | 1.69811i | ||||
\(764\) | −3.74038e11 | + | 2.35024e11i | −1.09785 | + | 0.689825i | ||||
\(765\) | 1.96971e11 | − | 6.89233e10i | 0.575119 | − | 0.201243i | ||||
\(766\) | 4.18254e10 | + | 4.18254e10i | 0.121486 | + | 0.121486i | ||||
\(767\) | 6.78402e10 | − | 1.40872e11i | 0.196022 | − | 0.407045i | ||||
\(768\) | −1.72941e10 | − | 1.53490e11i | −0.0497112 | − | 0.441199i | ||||
\(769\) | −2.18009e11 | + | 2.45637e10i | −0.623402 | + | 0.0702406i | −0.418015 | − | 0.908440i | \(-0.637274\pi\) |
−0.205387 | + | 0.978681i | \(0.565845\pi\) | |||||||
\(770\) | −2.50646e11 | − | 1.20705e11i | −0.713015 | − | 0.343370i | ||||
\(771\) | −8.39999e8 | + | 8.39999e8i | −0.00237717 | + | 0.00237717i | ||||
\(772\) | 7.08714e10 | + | 2.02539e11i | 0.199527 | + | 0.570215i | ||||
\(773\) | 1.45536e11 | + | 2.31619e11i | 0.407616 | + | 0.648718i | 0.985942 | − | 0.167088i | \(-0.0534365\pi\) |
−0.578326 | + | 0.815806i | \(0.696294\pi\) | |||||||
\(774\) | 1.16434e10 | − | 5.60715e9i | 0.0324425 | − | 0.0156235i | ||||
\(775\) | 2.43332e11 | − | 6.95402e11i | 0.674515 | − | 1.92765i | ||||
\(776\) | −6.46861e10 | + | 1.47642e10i | −0.178387 | + | 0.0407157i | ||||
\(777\) | 6.62785e10 | − | 8.31106e10i | 0.181840 | − | 0.228020i | ||||
\(778\) | −1.61041e10 | − | 2.01939e10i | −0.0439560 | − | 0.0551191i | ||||
\(779\) | 7.87060e9 | − | 3.44834e10i | 0.0213726 | − | 0.0936396i | ||||
\(780\) | −2.25356e11 | + | 3.58651e11i | −0.608821 | + | 0.968934i | ||||
\(781\) | 2.73156e10 | − | 2.42433e11i | 0.0734188 | − | 0.651610i | ||||
\(782\) | − | 1.92377e11i | − | 0.514429i | ||||||
\(783\) | 2.88146e11 | + | 7.07279e10i | 0.766595 | + | 0.188167i | ||||
\(784\) | −2.16562e11 | −0.573215 | ||||||||
\(785\) | −5.43291e11 | − | 6.12142e10i | −1.43072 | − | 0.161203i | ||||
\(786\) | 9.99556e10 | + | 6.28062e10i | 0.261889 | + | 0.164556i | ||||
\(787\) | 4.95579e11 | + | 1.13113e11i | 1.29185 | + | 0.294857i | 0.812602 | − | 0.582820i | \(-0.198051\pi\) |
0.479253 | + | 0.877677i | \(0.340908\pi\) | |||||||
\(788\) | −1.19869e11 | + | 9.55926e10i | −0.310887 | + | 0.247924i | ||||
\(789\) | 2.29183e11 | + | 1.82767e11i | 0.591390 | + | 0.471618i | ||||
\(790\) | 6.56361e9 | + | 2.87571e10i | 0.0168514 | + | 0.0738306i | ||||
\(791\) | −6.44752e11 | − | 2.25609e11i | −1.64697 | − | 0.576301i | ||||
\(792\) | −3.77964e10 | − | 7.84851e10i | −0.0960617 | − | 0.199474i | ||||
\(793\) | −5.57379e10 | + | 3.50225e10i | −0.140948 | + | 0.0885633i | ||||
\(794\) | −9.67175e10 | + | 3.38429e10i | −0.243345 | + | 0.0851502i | ||||
\(795\) | 1.75917e9 | + | 1.75917e9i | 0.00440392 | + | 0.00440392i | ||||
\(796\) | 2.09595e10 | − | 4.35229e10i | 0.0522071 | − | 0.108409i | ||||
\(797\) | −4.88466e10 | − | 4.33525e11i | −0.121060 | − | 1.07444i | −0.896508 | − | 0.443027i | \(-0.853905\pi\) |
0.775448 | − | 0.631411i | \(-0.217524\pi\) | |||||||
\(798\) | 1.50338e10 | − | 1.69390e9i | 0.0370730 | − | 0.00417712i | ||||
\(799\) | 5.57626e11 | + | 2.68539e11i | 1.36822 | + | 0.658900i | ||||
\(800\) | −3.46437e11 | + | 3.46437e11i | −0.845793 | + | 0.845793i | ||||
\(801\) | 1.12310e10 | + | 3.20964e10i | 0.0272828 | + | 0.0779697i | ||||
\(802\) | −9.60013e10 | − | 1.52785e11i | −0.232049 | − | 0.369304i | ||||
\(803\) | 7.80832e11 | − | 3.76029e11i | 1.87800 | − | 0.904397i | ||||
\(804\) | 2.69134e11 | − | 7.69141e11i | 0.644087 | − | 1.84070i | ||||
\(805\) | 1.44520e12 | − | 3.29858e11i | 3.44148 | − | 0.785495i | ||||
\(806\) | 5.46357e10 | − | 6.85110e10i | 0.129460 | − | 0.162338i | ||||
\(807\) | −3.41458e11 | − | 4.28175e11i | −0.805087 | − | 1.00955i | ||||
\(808\) | −1.45514e10 | + | 6.37540e10i | −0.0341398 | + | 0.149576i | ||||
\(809\) | 1.65352e11 | − | 2.63156e11i | 0.386024 | − | 0.614354i | −0.596028 | − | 0.802964i | \(-0.703255\pi\) |
0.982052 | + | 0.188610i | \(0.0603981\pi\) | |||||||
\(810\) | −2.49618e10 | + | 2.21542e11i | −0.0579877 | + | 0.514655i | ||||
\(811\) | − | 4.35295e11i | − | 1.00624i | −0.864217 | − | 0.503119i | \(-0.832186\pi\) | ||
0.864217 | − | 0.503119i | \(-0.167814\pi\) | |||||||
\(812\) | 5.26393e11 | + | 6.80162e10i | 1.21084 | + | 0.156455i | ||||
\(813\) | 2.66318e11 | 0.609590 | ||||||||
\(814\) | −3.13199e10 | − | 3.52891e9i | −0.0713384 | − | 0.00803790i | ||||
\(815\) | −5.55867e11 | − | 3.49274e11i | −1.25991 | − | 0.791656i | ||||
\(816\) | −4.75130e11 | − | 1.08445e11i | −1.07165 | − | 0.244597i | ||||
\(817\) | −1.48005e10 | + | 1.18030e10i | −0.0332190 | + | 0.0264913i | ||||
\(818\) | −1.61076e10 | − | 1.28454e10i | −0.0359765 | − | 0.0286903i | ||||
\(819\) | 2.66752e10 | + | 1.16872e11i | 0.0592887 | + | 0.259761i | ||||
\(820\) | 6.55040e11 | + | 2.29208e11i | 1.44881 | + | 0.506962i | ||||
\(821\) | −1.72156e11 | − | 3.57486e11i | −0.378922 | − | 0.786841i | −0.999995 | − | 0.00308772i | \(-0.999017\pi\) |
0.621073 | − | 0.783753i | \(-0.286697\pi\) | |||||||
\(822\) | −1.16528e11 | + | 7.32195e10i | −0.255237 | + | 0.160376i | ||||
\(823\) | 1.25398e11 | − | 4.38787e10i | 0.273333 | − | 0.0956433i | −0.190132 | − | 0.981758i | \(-0.560892\pi\) |
0.463465 | + | 0.886115i | \(0.346606\pi\) | |||||||
\(824\) | −9.89485e10 | − | 9.89485e10i | −0.214635 | − | 0.214635i | ||||
\(825\) | 5.47283e11 | − | 1.13645e12i | 1.18140 | − | 2.45320i | ||||
\(826\) | −1.22683e10 | − | 1.08884e11i | −0.0263551 | − | 0.233908i | ||||
\(827\) | −1.16166e11 | + | 1.30888e10i | −0.248347 | + | 0.0279820i | −0.235260 | − | 0.971932i | \(-0.575594\pi\) |
−0.0130865 | + | 0.999914i | \(0.504166\pi\) | |||||||
\(828\) | 2.01753e11 | + | 9.71592e10i | 0.429239 | + | 0.206711i | ||||
\(829\) | −3.46945e11 | + | 3.46945e11i | −0.734585 | + | 0.734585i | −0.971524 | − | 0.236939i | \(-0.923856\pi\) |
0.236939 | + | 0.971524i | \(0.423856\pi\) | |||||||
\(830\) | 7.98082e10 | + | 2.28079e11i | 0.168165 | + | 0.480587i | ||||
\(831\) | −2.71711e10 | − | 4.32426e10i | −0.0569775 | − | 0.0906791i | ||||
\(832\) | 1.74028e11 | − | 8.38073e10i | 0.363182 | − | 0.174899i | ||||
\(833\) | −1.36468e11 | + | 3.90003e11i | −0.283433 | + | 0.810006i | ||||
\(834\) | −5.55562e10 | + | 1.26803e10i | −0.114833 | + | 0.0262100i | ||||
\(835\) | −7.76283e11 | + | 9.73429e11i | −1.59689 | + | 2.00243i | ||||
\(836\) | 3.83821e10 | + | 4.81297e10i | 0.0785786 | + | 0.0985344i | ||||
\(837\) | −1.04832e11 | + | 4.59300e11i | −0.213596 | + | 0.935826i | ||||
\(838\) | −7.90245e10 | + | 1.25767e11i | −0.160245 | + | 0.255029i | ||||
\(839\) | −3.16938e10 | + | 2.81290e11i | −0.0639626 | + | 0.567684i | 0.920331 | + | 0.391142i | \(0.127920\pi\) |
−0.984293 | + | 0.176542i | \(0.943509\pi\) | |||||||
\(840\) | 6.15307e11i | 1.23588i | ||||||||
\(841\) | −4.83817e11 | − | 1.27153e11i | −0.967157 | − | 0.254180i | ||||
\(842\) | 1.23733e11 | 0.246172 | ||||||||
\(843\) | −4.47548e11 | − | 5.04265e10i | −0.886195 | − | 0.0998502i | ||||
\(844\) | 2.91134e11 | + | 1.82931e11i | 0.573750 | + | 0.360511i | ||||
\(845\) | 4.64355e11 | + | 1.05986e11i | 0.910801 | + | 0.207884i | ||||
\(846\) | 4.10421e10 | − | 3.27300e10i | 0.0801213 | − | 0.0638946i | ||||
\(847\) | −5.30175e11 | − | 4.22801e11i | −1.03011 | − | 0.821489i | ||||
\(848\) | −3.06290e8 | − | 1.34195e9i | −0.000592311 | − | 0.00259509i | ||||
\(849\) | 3.47309e11 | + | 1.21529e11i | 0.668475 | + | 0.233909i | ||||
\(850\) | 1.18852e11 | + | 2.46799e11i | 0.227683 | + | 0.472790i | ||||
\(851\) | 1.42202e11 | − | 8.93516e10i | 0.271137 | − | 0.170367i | ||||
\(852\) | −2.45707e11 | + | 8.59767e10i | −0.466294 | + | 0.163163i | ||||
\(853\) | 3.45286e11 | + | 3.45286e11i | 0.652202 | + | 0.652202i | 0.953523 | − | 0.301321i | \(-0.0974274\pi\) |
−0.301321 | + | 0.953523i | \(0.597427\pi\) | |||||||
\(854\) | −2.00158e10 | + | 4.15632e10i | −0.0376306 | + | 0.0781407i | ||||
\(855\) | 2.90296e9 | + | 2.57645e10i | 0.00543222 | + | 0.0482123i | ||||
\(856\) | −2.10651e11 | + | 2.37347e10i | −0.392345 | + | 0.0442067i | ||||
\(857\) | −8.78437e11 | − | 4.23033e11i | −1.62850 | − | 0.784243i | −0.999979 | − | 0.00644830i | \(-0.997947\pi\) |
−0.628518 | − | 0.777795i | \(-0.716338\pi\) | |||||||
\(858\) | 1.06085e11 | − | 1.06085e11i | 0.195751 | − | 0.195751i | ||||
\(859\) | −2.50223e11 | − | 7.15097e11i | −0.459574 | − | 1.31339i | −0.907776 | − | 0.419454i | \(-0.862221\pi\) |
0.448203 | − | 0.893932i | \(-0.352064\pi\) | |||||||
\(860\) | −1.97612e11 | − | 3.14497e11i | −0.361259 | − | 0.574940i | ||||
\(861\) | 7.46931e11 | − | 3.59703e11i | 1.35915 | − | 0.654533i | ||||
\(862\) | −2.96784e9 | + | 8.48160e9i | −0.00537541 | + | 0.0153620i | ||||
\(863\) | 4.22097e11 | − | 9.63410e10i | 0.760973 | − | 0.173687i | 0.175612 | − | 0.984460i | \(-0.443810\pi\) |
0.585362 | + | 0.810772i | \(0.300953\pi\) | |||||||
\(864\) | 1.95333e11 | − | 2.44940e11i | 0.350526 | − | 0.439546i | ||||
\(865\) | 5.39811e11 | + | 6.76901e11i | 0.964222 | + | 1.20910i | ||||
\(866\) | 1.91858e10 | − | 8.40587e10i | 0.0341122 | − | 0.149455i | ||||
\(867\) | −1.50572e11 | + | 2.39634e11i | −0.266482 | + | 0.424104i | ||||
\(868\) | −9.43610e10 | + | 8.37477e11i | −0.166232 | + | 1.47535i | ||||
\(869\) | 1.43379e11i | 0.251424i | ||||||||
\(870\) | 3.58514e10 | − | 2.77462e11i | 0.0625791 | − | 0.484314i | ||||
\(871\) | 6.89183e11 | 1.19746 | ||||||||
\(872\) | −4.16267e11 | − | 4.69020e10i | −0.719955 | − | 0.0811195i | ||||
\(873\) | −5.54861e10 | − | 3.48642e10i | −0.0955272 | − | 0.0600237i | ||||
\(874\) | 2.33025e10 | + | 5.31863e9i | 0.0399352 | + | 0.00911495i | ||||
\(875\) | −6.67619e11 | + | 5.32408e11i | −1.13893 | + | 0.908265i | ||||
\(876\) | −7.22985e11 | − | 5.76562e11i | −1.22776 | − | 0.979105i | ||||
\(877\) | −1.87451e11 | − | 8.21274e11i | −0.316875 | − | 1.38832i | −0.843000 | − | 0.537914i | \(-0.819213\pi\) |
0.526125 | − | 0.850407i | \(-0.323644\pi\) | |||||||
\(878\) | −2.39749e11 | − | 8.38918e10i | −0.403440 | − | 0.141170i | ||||
\(879\) | 3.40910e11 | + | 7.07906e11i | 0.571063 | + | 1.18582i | ||||
\(880\) | −9.42763e11 | + | 5.92377e11i | −1.57207 | + | 0.987797i | ||||
\(881\) | 4.19028e11 | − | 1.46624e11i | 0.695568 | − | 0.243390i | 0.0407422 | − | 0.999170i | \(-0.487028\pi\) |
0.654826 | + | 0.755780i | \(0.272742\pi\) | |||||||
\(882\) | 2.47809e10 | + | 2.47809e10i | 0.0409490 | + | 0.0409490i | ||||
\(883\) | −7.14752e10 | + | 1.48420e11i | −0.117574 | + | 0.244146i | −0.951448 | − | 0.307810i | \(-0.900404\pi\) |
0.833874 | + | 0.551956i | \(0.186118\pi\) | |||||||
\(884\) | −5.00632e10 | − | 4.44324e11i | −0.0819804 | − | 0.727596i | ||||
\(885\) | 7.87650e11 | − | 8.87469e10i | 1.28399 | − | 0.144670i | ||||
\(886\) | 2.12885e11 | + | 1.02520e11i | 0.345470 | + | 0.166370i | ||||
\(887\) | −1.00480e11 | + | 1.00480e11i | −0.162325 | + | 0.162325i | −0.783596 | − | 0.621271i | \(-0.786617\pi\) |
0.621271 | + | 0.783596i | \(0.286617\pi\) | |||||||
\(888\) | 2.30240e10 | + | 6.57989e10i | 0.0370279 | + | 0.105820i | ||||
\(889\) | −4.81183e11 | − | 7.65799e11i | −0.770377 | − | 1.22605i | ||||
\(890\) | −6.41621e10 | + | 3.08988e10i | −0.102263 | + | 0.0492472i | ||||
\(891\) | −3.57923e11 | + | 1.02289e12i | −0.567909 | + | 1.62299i | ||||
\(892\) | 8.63290e11 | − | 1.97040e11i | 1.36363 | − | 0.311240i | ||||
\(893\) | −4.79446e10 | + | 6.01206e10i | −0.0753934 | + | 0.0945404i | ||||
\(894\) | −1.98211e11 | − | 2.48549e11i | −0.310297 | − | 0.389101i | ||||
\(895\) | 1.23558e10 | − | 5.41342e10i | 0.0192565 | − | 0.0843684i | ||||
\(896\) | 3.91919e11 | − | 6.23736e11i | 0.608085 | − | 0.967762i | ||||
\(897\) | −8.95063e10 | + | 7.94390e11i | −0.138256 | + | 1.22705i | ||||
\(898\) | 1.99093e10i | 0.0306162i | ||||||||
\(899\) | 1.89350e11 | − | 7.71413e11i | 0.289885 | − | 1.18099i | ||||
\(900\) | −3.18854e11 | −0.485984 | ||||||||
\(901\) | −2.60971e9 | − | 2.94043e8i | −0.00395997 | − | 0.000446182i | ||||
\(902\) | −2.08128e11 | − | 1.30775e11i | −0.314415 | − | 0.197560i | ||||
\(903\) | −4.32582e11 | − | 9.87341e10i | −0.650605 | − | 0.148496i | ||||
\(904\) | 3.50223e11 | − | 2.79293e11i | 0.524409 | − | 0.418203i | ||||
\(905\) | 1.45754e12 | + | 1.16235e12i | 2.17284 | + | 1.73278i | ||||
\(906\) | −2.10720e10 | − | 9.23226e10i | −0.0312747 | − | 0.137024i | ||||
\(907\) | −8.17678e11 | − | 2.86118e11i | −1.20824 | − | 0.422782i | −0.350352 | − | 0.936618i | \(-0.613938\pi\) |
−0.857888 | + | 0.513836i | \(0.828224\pi\) | |||||||
\(908\) | 6.49546e10 | + | 1.34880e11i | 0.0955579 | + | 0.198428i | ||||
\(909\) | −5.46866e10 | + | 3.43618e10i | −0.0800986 | + | 0.0503293i | ||||
\(910\) | −2.36966e11 | + | 8.29179e10i | −0.345557 | + | 0.120916i | ||||
\(911\) | −2.04728e11 | − | 2.04728e11i | −0.297237 | − | 0.297237i | 0.542693 | − | 0.839931i | \(-0.317405\pi\) |
−0.839931 | + | 0.542693i | \(0.817405\pi\) | |||||||
\(912\) | 2.62718e10 | − | 5.45540e10i | 0.0379761 | − | 0.0788583i | ||||
\(913\) | 1.31510e11 | + | 1.16719e12i | 0.189268 | + | 1.67980i | ||||
\(914\) | 2.77268e11 | − | 3.12406e10i | 0.397296 | − | 0.0447645i | ||||
\(915\) | −3.00661e11 | − | 1.44791e11i | −0.428937 | − | 0.206565i | ||||
\(916\) | 5.86770e9 | − | 5.86770e9i | 0.00833463 | − | 0.00833463i | ||||
\(917\) | −3.17145e11 | − | 9.06348e11i | −0.448519 | − | 1.28179i | ||||
\(918\) | −9.31920e10 | − | 1.48314e11i | −0.131222 | − | 0.208839i | ||||
\(919\) | −5.52485e11 | + | 2.66063e11i | −0.774566 | + | 0.373011i | −0.779036 | − | 0.626979i | \(-0.784291\pi\) |
0.00447064 | + | 0.999990i | \(0.498577\pi\) | |||||||
\(920\) | −3.21066e11 | + | 9.17553e11i | −0.448170 | + | 1.28080i | ||||
\(921\) | −1.27037e12 | + | 2.89954e11i | −1.76560 | + | 0.402986i | ||||
\(922\) | 5.01509e10 | − | 6.28872e10i | 0.0693992 | − | 0.0870239i | ||||
\(923\) | −1.37270e11 | − | 1.72131e11i | −0.189134 | − | 0.237166i | ||||
\(924\) | −3.21074e11 | + | 1.40672e12i | −0.440470 | + | 1.92983i | ||||
\(925\) | −1.27228e11 | + | 2.02483e11i | −0.173787 | + | 0.276580i | ||||
\(926\) | −3.82134e10 | + | 3.39154e11i | −0.0519723 | + | 0.461267i | ||||
\(927\) | − | 1.38206e11i | − | 0.187158i | ||||||
\(928\) | −3.36025e11 | + | 4.07554e11i | −0.453086 | + | 0.549532i | ||||
\(929\) | 1.41154e12 | 1.89509 | 0.947544 | − | 0.319625i | \(-0.103557\pi\) | ||||
0.947544 | + | 0.319625i | \(0.103557\pi\) | |||||||
\(930\) | 4.41435e11 | + | 4.97378e10i | 0.590113 | + | 0.0664897i | ||||
\(931\) | −4.34679e10 | − | 2.73127e10i | −0.0578588 | − | 0.0363551i | ||||
\(932\) | −4.16362e11 | − | 9.50318e10i | −0.551832 | − | 0.125952i | ||||
\(933\) | −5.84438e11 | + | 4.66074e11i | −0.771280 | + | 0.615075i | ||||
\(934\) | 8.60332e10 | + | 6.86092e10i | 0.113052 | + | 0.0901560i | ||||
\(935\) | 4.72715e11 | + | 2.07110e12i | 0.618519 | + | 2.70991i | ||||
\(936\) | −7.42013e10 | − | 2.59641e10i | −0.0966736 | − | 0.0338276i | ||||
\(937\) | −3.33017e11 | − | 6.91516e11i | −0.432024 | − | 0.897107i | −0.997386 | − | 0.0722637i | \(-0.976978\pi\) |
0.565362 | − | 0.824843i | \(-0.308737\pi\) | |||||||
\(938\) | 4.08946e11 | − | 2.56958e11i | 0.528269 | − | 0.331933i | ||||
\(939\) | −7.29906e11 | + | 2.55405e11i | −0.938868 | + | 0.328524i | ||||
\(940\) | −1.06686e12 | − | 1.06686e12i | −1.36646 | − | 1.36646i | ||||
\(941\) | 2.26470e11 | − | 4.70269e11i | 0.288836 | − | 0.599774i | −0.705177 | − | 0.709031i | \(-0.749133\pi\) |
0.994014 | + | 0.109256i | \(0.0348470\pi\) | |||||||
\(942\) | −2.31344e10 | − | 2.05324e11i | −0.0293802 | − | 0.260757i | ||||
\(943\) | 1.30153e12 | − | 1.46647e11i | 1.64591 | − | 0.185449i | ||||
\(944\) | −3.95114e11 | − | 1.90277e11i | −0.497547 | − | 0.239606i | ||||
\(945\) | 9.54398e11 | − | 9.54398e11i | 1.19675 | − | 1.19675i | ||||
\(946\) | 4.34504e10 | + | 1.24174e11i | 0.0542537 | + | 0.155048i | ||||
\(947\) | 6.46949e11 | + | 1.02961e12i | 0.804396 | + | 1.28019i | 0.956473 | + | 0.291820i | \(0.0942609\pi\) |
−0.152077 | + | 0.988369i | \(0.548596\pi\) | |||||||
\(948\) | 1.37836e11 | − | 6.63785e10i | 0.170660 | − | 0.0821853i | ||||
\(949\) | 2.58312e11 | − | 7.38213e11i | 0.318478 | − | 0.910158i | ||||
\(950\) | −3.31805e10 | + | 7.57323e9i | −0.0407370 | + | 0.00929794i | ||||
\(951\) | 3.61343e11 | − | 4.53109e11i | 0.441771 | − | 0.553963i | ||||
\(952\) | −4.04976e11 | − | 5.07824e11i | −0.493039 | − | 0.618252i | ||||
\(953\) | 8.26232e10 | − | 3.61996e11i | 0.100168 | − | 0.438866i | −0.899828 | − | 0.436244i | \(-0.856308\pi\) |
0.999997 | − | 0.00262168i | \(-0.000834508\pi\) | |||||||
\(954\) | −1.18509e8 | + | 1.88606e8i | −0.000143073 | + | 0.000227700i | ||||
\(955\) | 2.12061e11 | − | 1.88209e12i | 0.254945 | − | 2.26270i | ||||
\(956\) | 1.21999e12i | 1.46058i | ||||||||
\(957\) | 4.70014e11 | − | 1.27611e12i | 0.560355 | − | 1.52139i | ||||
\(958\) | −2.33299e11 | −0.276981 | ||||||||
\(959\) | 1.11240e12 | + | 1.25337e11i | 1.31519 | + | 0.148186i | ||||
\(960\) | 8.29104e11 | + | 5.20961e11i | 0.976167 | + | 0.613367i | ||||
\(961\) | 3.98111e11 | + | 9.08662e10i | 0.466778 | + | 0.106539i | ||||
\(962\) | −2.22376e10 | + | 1.77339e10i | −0.0259650 | + | 0.0207064i | ||||
\(963\) | −1.63689e11 | − | 1.30538e11i | −0.190333 | − | 0.151786i | ||||
\(964\) | −1.87136e9 | − | 8.19898e9i | −0.00216696 | − | 0.00949405i | ||||
\(965\) | −8.68388e11 | − | 3.03862e11i | −1.00139 | − | 0.350402i | ||||
\(966\) | 2.43073e11 | + | 5.04746e11i | 0.279144 | + | 0.579648i | ||||
\(967\) | −3.14261e11 | + | 1.97463e11i | −0.359405 | + | 0.225829i | −0.699615 | − | 0.714520i | \(-0.746645\pi\) |
0.340209 | + | 0.940350i | \(0.389502\pi\) | |||||||
\(968\) | 4.19741e11 | − | 1.46874e11i | 0.478057 | − | 0.167279i | ||||
\(969\) | −8.16902e10 | − | 8.16902e10i | −0.0926563 | − | 0.0926563i | ||||
\(970\) | 5.95451e10 | − | 1.23647e11i | 0.0672604 | − | 0.139668i | ||||
\(971\) | 6.17363e10 | + | 5.47925e11i | 0.0694486 | + | 0.616373i | 0.979439 | + | 0.201743i | \(0.0646606\pi\) |
−0.909990 | + | 0.414630i | \(0.863911\pi\) | |||||||
\(972\) | 4.96443e11 | − | 5.59357e10i | 0.556166 | − | 0.0626648i | ||||
\(973\) | 4.17620e11 | + | 2.01115e11i | 0.465940 | + | 0.224385i | ||||
\(974\) | 2.77099e11 | − | 2.77099e11i | 0.307893 | − | 0.307893i | ||||
\(975\) | −3.75955e11 | − | 1.07442e12i | −0.416023 | − | 1.18892i | ||||
\(976\) | 9.82303e10 | + | 1.56333e11i | 0.108255 | + | 0.172286i | ||||
\(977\) | 4.21013e11 | − | 2.02749e11i | 0.462080 | − | 0.222526i | −0.188335 | − | 0.982105i | \(-0.560309\pi\) |
0.650415 | + | 0.759579i | \(0.274595\pi\) | |||||||
\(978\) | 8.19439e10 | − | 2.34182e11i | 0.0895698 | − | 0.255976i | ||||
\(979\) | −3.37485e11 | + | 7.70287e10i | −0.367387 | + | 0.0838536i | ||||
\(980\) | 6.28012e11 | − | 7.87503e11i | 0.680870 | − | 0.853784i | ||||
\(981\) | −2.57955e11 | − | 3.23465e11i | −0.278527 | − | 0.349262i | ||||
\(982\) | 2.53477e10 | − | 1.11055e11i | 0.0272579 | − | 0.119425i | ||||
\(983\) | 3.05887e11 | − | 4.86817e11i | 0.327602 | − | 0.521376i | −0.641794 | − | 0.766877i | \(-0.721810\pi\) |
0.969396 | + | 0.245501i | \(0.0789524\pi\) | |||||||
\(984\) | −6.08706e10 | + | 5.40242e11i | −0.0649273 | + | 0.576246i | ||||
\(985\) | − | 6.57356e11i | − | 0.698322i | ||||||
\(986\) | 1.53028e11 | + | 2.52591e11i | 0.161906 | + | 0.267245i | ||||
\(987\) | −1.80237e12 | −1.89922 | ||||||||
\(988\) | 5.52047e10 | + | 6.22007e9i | 0.0579360 | + | 0.00652781i | ||||
\(989\) | −5.93553e11 | − | 3.72954e11i | −0.620403 | − | 0.389825i | ||||
\(990\) | 1.75665e11 | + | 4.00943e10i | 0.182871 | + | 0.0417390i | ||||
\(991\) | 5.74879e11 | − | 4.58450e11i | 0.596048 | − | 0.475333i | −0.278391 | − | 0.960468i | \(-0.589801\pi\) |
0.874439 | + | 0.485135i | \(0.161230\pi\) | |||||||
\(992\) | −6.55741e11 | − | 5.22936e11i | −0.677151 | − | 0.540010i | ||||
\(993\) | −7.35548e10 | − | 3.22265e11i | −0.0756509 | − | 0.331448i | ||||
\(994\) | −1.45631e11 | − | 5.09586e10i | −0.149179 | − | 0.0522002i | ||||
\(995\) | 8.98643e10 | + | 1.86605e11i | 0.0916843 | + | 0.190384i | ||||
\(996\) | 1.06118e12 | − | 6.66786e11i | 1.07833 | − | 0.677562i | ||||
\(997\) | −7.51650e11 | + | 2.63014e11i | −0.760738 | + | 0.266194i | −0.682643 | − | 0.730752i | \(-0.739170\pi\) |
−0.0780951 | + | 0.996946i | \(0.524884\pi\) | |||||||
\(998\) | 2.82664e11 | + | 2.82664e11i | 0.284937 | + | 0.284937i | ||||
\(999\) | 6.63477e10 | − | 1.37772e11i | 0.0666138 | − | 0.138325i |
(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 | 29.9.f.a.2.9 | ✓ | 228 | |
29.15 | odd | 28 | inner | 29.9.f.a.15.9 | yes | 228 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
29.9.f.a.2.9 | ✓ | 228 | 1.1 | even | 1 | trivial | |
29.9.f.a.15.9 | yes | 228 | 29.15 | odd | 28 | inner |