Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [69,8,Mod(5,69)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(69, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([11, 1]))
N = Newforms(chi, 8, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("69.5");
S:= CuspForms(chi, 8);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 69 = 3 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 8 \) |
Character orbit: | \([\chi]\) | \(=\) | 69.g (of order \(22\), degree \(10\), 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: | \(21.5545667584\) |
Analytic rank: | \(0\) |
Dimension: | \(540\) |
Relative dimension: | \(54\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 5.16 | ||
Character | \(\chi\) | \(=\) | 69.5 |
Dual form | 69.8.g.a.14.16 |
$q$-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 \(\left(\mathbb{Z}/69\mathbb{Z}\right)^\times\).
\(n\) | \(28\) | \(47\) |
\(\chi(n)\) | \(e\left(\frac{1}{22}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −3.09645 | + | 10.5455i | −0.273690 | + | 0.932102i | 0.701859 | + | 0.712316i | \(0.252354\pi\) |
−0.975548 | + | 0.219785i | \(0.929464\pi\) | |||||||
\(3\) | −20.3936 | − | 42.0844i | −0.436084 | − | 0.899906i | ||||
\(4\) | 6.06031 | + | 3.89472i | 0.0473462 | + | 0.0304275i | ||||
\(5\) | 37.8324 | − | 263.130i | 0.135353 | − | 0.941404i | −0.803062 | − | 0.595895i | \(-0.796797\pi\) |
0.938416 | − | 0.345509i | \(-0.112294\pi\) | |||||||
\(6\) | 506.950 | − | 84.7496i | 0.958155 | − | 0.160180i | ||||
\(7\) | −1413.39 | + | 645.472i | −1.55746 | + | 0.711270i | −0.993426 | − | 0.114480i | \(-0.963480\pi\) |
−0.564037 | + | 0.825749i | \(0.690753\pi\) | |||||||
\(8\) | −1123.04 | + | 973.116i | −0.775494 | + | 0.671970i | ||||
\(9\) | −1355.20 | + | 1716.51i | −0.619661 | + | 0.784870i | ||||
\(10\) | 2657.70 | + | 1213.73i | 0.840439 | + | 0.383816i | ||||
\(11\) | 4830.81 | − | 1418.45i | 1.09432 | − | 0.321322i | 0.315729 | − | 0.948850i | \(-0.397751\pi\) |
0.778595 | + | 0.627527i | \(0.215933\pi\) | |||||||
\(12\) | 40.3154 | − | 334.472i | 0.00673499 | − | 0.0558760i | ||||
\(13\) | −1760.71 | + | 3855.42i | −0.222273 | + | 0.486710i | −0.987612 | − | 0.156918i | \(-0.949844\pi\) |
0.765339 | + | 0.643628i | \(0.222571\pi\) | |||||||
\(14\) | −2430.37 | − | 16903.6i | −0.236714 | − | 1.64638i | ||||
\(15\) | −11845.2 | + | 3774.03i | −0.906200 | + | 0.288726i | ||||
\(16\) | −6401.55 | − | 14017.4i | −0.390719 | − | 0.855556i | ||||
\(17\) | 20746.5 | − | 13333.0i | 1.02418 | − | 0.658198i | 0.0831515 | − | 0.996537i | \(-0.473501\pi\) |
0.941024 | + | 0.338339i | \(0.109865\pi\) | |||||||
\(18\) | −13905.2 | − | 19606.4i | −0.561984 | − | 0.792398i | ||||
\(19\) | 7530.32 | − | 11717.4i | 0.251870 | − | 0.391917i | −0.692178 | − | 0.721727i | \(-0.743349\pi\) |
0.944047 | + | 0.329811i | \(0.106985\pi\) | |||||||
\(20\) | 1254.10 | − | 1447.30i | 0.0350531 | − | 0.0404534i | ||||
\(21\) | 55988.4 | + | 46318.0i | 1.31926 | + | 1.09140i | ||||
\(22\) | 55335.6i | 1.10796i | ||||||||
\(23\) | 58060.5 | − | 5814.20i | 0.995023 | − | 0.0996421i | ||||
\(24\) | 63855.8 | + | 27416.9i | 0.942890 | + | 0.404836i | ||||
\(25\) | 7154.09 | + | 2100.63i | 0.0915724 | + | 0.0268881i | ||||
\(26\) | −35205.5 | − | 30505.7i | −0.392829 | − | 0.340388i | ||||
\(27\) | 99875.8 | + | 22026.8i | 0.976533 | + | 0.215367i | ||||
\(28\) | −11079.5 | − | 1592.99i | −0.0953821 | − | 0.0137139i | ||||
\(29\) | 4867.69 | + | 7574.28i | 0.0370621 | + | 0.0576698i | 0.859290 | − | 0.511488i | \(-0.170906\pi\) |
−0.822228 | + | 0.569158i | \(0.807269\pi\) | |||||||
\(30\) | −3121.03 | − | 136600.i | −0.0211044 | − | 0.923692i | ||||
\(31\) | 26999.6 | + | 31159.2i | 0.162776 | + | 0.187854i | 0.831278 | − | 0.555856i | \(-0.187610\pi\) |
−0.668502 | + | 0.743710i | \(0.733064\pi\) | |||||||
\(32\) | −20627.3 | + | 2965.76i | −0.111280 | + | 0.0159997i | ||||
\(33\) | −158213. | − | 174374.i | −0.766377 | − | 0.844664i | ||||
\(34\) | 76362.9 | + | 260068.i | 0.333201 | + | 1.13478i | ||||
\(35\) | 116371. | + | 396325.i | 0.458784 | + | 1.56247i | ||||
\(36\) | −14898.2 | + | 5124.46i | −0.0532202 | + | 0.0183058i | ||||
\(37\) | 409900. | − | 58934.7i | 1.33037 | − | 0.191278i | 0.559795 | − | 0.828631i | \(-0.310880\pi\) |
0.770572 | + | 0.637353i | \(0.219971\pi\) | |||||||
\(38\) | 100249. | + | 115693.i | 0.296372 | + | 0.342032i | ||||
\(39\) | 198160. | − | 4527.55i | 0.534923 | − | 0.0122218i | ||||
\(40\) | 213569. | + | 332320.i | 0.527629 | + | 0.821007i | ||||
\(41\) | −620266. | − | 89180.7i | −1.40551 | − | 0.202082i | −0.602535 | − | 0.798093i | \(-0.705842\pi\) |
−0.802976 | + | 0.596011i | \(0.796752\pi\) | |||||||
\(42\) | −661813. | + | 447006.i | −1.37836 | + | 0.930981i | ||||
\(43\) | 620271. | + | 537468.i | 1.18971 | + | 1.03089i | 0.998785 | + | 0.0492874i | \(0.0156950\pi\) |
0.190928 | + | 0.981604i | \(0.438850\pi\) | |||||||
\(44\) | 34800.7 | + | 10218.4i | 0.0615890 | + | 0.0180842i | ||||
\(45\) | 400395. | + | 421534.i | 0.655006 | + | 0.689586i | ||||
\(46\) | −118467. | + | 630282.i | −0.179451 | + | 0.954734i | ||||
\(47\) | − | 616741.i | − | 0.866484i | −0.901278 | − | 0.433242i | \(-0.857370\pi\) | ||
0.901278 | − | 0.433242i | \(-0.142630\pi\) | |||||||
\(48\) | −459365. | + | 555272.i | −0.599533 | + | 0.724705i | ||||
\(49\) | 1.04172e6 | − | 1.20221e6i | 1.26493 | − | 1.45980i | ||||
\(50\) | −44304.5 | + | 68939.2i | −0.0501248 | + | 0.0779958i | ||||
\(51\) | −984209. | − | 601198.i | −1.03894 | − | 0.634632i | ||||
\(52\) | −25686.2 | + | 16507.5i | −0.0253331 | + | 0.0162806i | ||||
\(53\) | 518406. | + | 1.13515e6i | 0.478305 | + | 1.04734i | 0.982926 | + | 0.184000i | \(0.0589048\pi\) |
−0.504622 | + | 0.863341i | \(0.668368\pi\) | |||||||
\(54\) | −541545. | + | 985038.i | −0.468011 | + | 0.851284i | ||||
\(55\) | −190477. | − | 1.32480e6i | −0.154374 | − | 1.07369i | ||||
\(56\) | 959164. | − | 2.10028e6i | 0.729852 | − | 1.59815i | ||||
\(57\) | −646691. | − | 77948.5i | −0.462524 | − | 0.0557501i | ||||
\(58\) | −94947.3 | + | 27879.0i | −0.0638976 | + | 0.0187620i | ||||
\(59\) | 637787. | + | 291267.i | 0.404290 | + | 0.184633i | 0.607173 | − | 0.794570i | \(-0.292304\pi\) |
−0.202882 | + | 0.979203i | \(0.565031\pi\) | |||||||
\(60\) | −86484.6 | − | 23262.1i | −0.0516903 | − | 0.0139034i | ||||
\(61\) | 1.05841e6 | − | 917117.i | 0.597034 | − | 0.517333i | −0.303093 | − | 0.952961i | \(-0.598019\pi\) |
0.900127 | + | 0.435628i | \(0.143474\pi\) | |||||||
\(62\) | −412193. | + | 188242.i | −0.219649 | + | 0.100310i | ||||
\(63\) | 807460. | − | 3.30083e6i | 0.406845 | − | 1.66315i | ||||
\(64\) | 313309. | − | 2.17911e6i | 0.149397 | − | 1.03908i | ||||
\(65\) | 947866. | + | 609157.i | 0.428105 | + | 0.275126i | ||||
\(66\) | 2.32877e6 | − | 1.12849e6i | 0.997062 | − | 0.483165i | ||||
\(67\) | −1.05004e6 | + | 3.57612e6i | −0.426526 | + | 1.45262i | 0.413717 | + | 0.910406i | \(0.364230\pi\) |
−0.840243 | + | 0.542210i | \(0.817588\pi\) | |||||||
\(68\) | 177659. | 0.0685181 | ||||||||
\(69\) | −1.42875e6 | − | 2.32487e6i | −0.523583 | − | 0.851975i | ||||
\(70\) | −4.53979e6 | −1.58195 | ||||||||
\(71\) | 234869. | − | 799889.i | 0.0778791 | − | 0.265232i | −0.911345 | − | 0.411644i | \(-0.864955\pi\) |
0.989224 | + | 0.146413i | \(0.0467727\pi\) | |||||||
\(72\) | −148427. | − | 3.24647e6i | −0.0468652 | − | 1.02506i | ||||
\(73\) | 1.34547e6 | + | 864683.i | 0.404804 | + | 0.260152i | 0.727162 | − | 0.686466i | \(-0.240839\pi\) |
−0.322358 | + | 0.946618i | \(0.604475\pi\) | |||||||
\(74\) | −647735. | + | 4.50509e6i | −0.185817 | + | 1.29239i | ||||
\(75\) | −57494.2 | − | 343915.i | −0.0157365 | − | 0.0941320i | ||||
\(76\) | 91272.1 | − | 41682.6i | 0.0238501 | − | 0.0108920i | ||||
\(77\) | −5.91223e6 | + | 5.12298e6i | −1.47582 | + | 1.27881i | ||||
\(78\) | −565848. | + | 2.10373e6i | −0.135011 | + | 0.501947i | ||||
\(79\) | −2.92394e6 | − | 1.33532e6i | −0.667227 | − | 0.304712i | 0.0528543 | − | 0.998602i | \(-0.483168\pi\) |
−0.720081 | + | 0.693890i | \(0.755895\pi\) | |||||||
\(80\) | −3.93060e6 | + | 1.15413e6i | −0.858309 | + | 0.252022i | ||||
\(81\) | −1.10984e6 | − | 4.65242e6i | −0.232041 | − | 0.972706i | ||||
\(82\) | 2.86108e6 | − | 6.26488e6i | 0.573035 | − | 1.25477i | ||||
\(83\) | 534825. | + | 3.71979e6i | 0.102669 | + | 0.714077i | 0.974519 | + | 0.224305i | \(0.0720110\pi\) |
−0.871850 | + | 0.489772i | \(0.837080\pi\) | |||||||
\(84\) | 158911. | + | 498761.i | 0.0292534 | + | 0.0918153i | ||||
\(85\) | −2.72342e6 | − | 5.96346e6i | −0.481004 | − | 1.05325i | ||||
\(86\) | −7.58852e6 | + | 4.87684e6i | −1.28651 | + | 0.826788i | ||||
\(87\) | 219489. | − | 359321.i | 0.0357351 | − | 0.0585013i | ||||
\(88\) | −4.04485e6 | + | 6.29391e6i | −0.632723 | + | 0.984536i | ||||
\(89\) | 1.90131e6 | − | 2.19422e6i | 0.285882 | − | 0.329926i | −0.594585 | − | 0.804033i | \(-0.702684\pi\) |
0.880467 | + | 0.474107i | \(0.157229\pi\) | |||||||
\(90\) | −5.68510e6 | + | 2.91712e6i | −0.822033 | + | 0.421800i | ||||
\(91\) | − | 6.58569e6i | − | 0.916128i | ||||||
\(92\) | 374509. | + | 190894.i | 0.0501424 | + | 0.0255584i | ||||
\(93\) | 760697. | − | 1.77171e6i | 0.0980666 | − | 0.228404i | ||||
\(94\) | 6.50386e6 | + | 1.90971e6i | 0.807651 | + | 0.237148i | ||||
\(95\) | −2.79831e6 | − | 2.42475e6i | −0.334860 | − | 0.290158i | ||||
\(96\) | 545479. | + | 807607.i | 0.0629258 | + | 0.0931646i | ||||
\(97\) | 2.19587e6 | + | 315719.i | 0.244290 | + | 0.0351236i | 0.263372 | − | 0.964694i | \(-0.415165\pi\) |
−0.0190821 | + | 0.999818i | \(0.506074\pi\) | |||||||
\(98\) | 9.45231e6 | + | 1.47081e7i | 1.01449 | + | 1.57857i | ||||
\(99\) | −4.11192e6 | + | 1.02144e7i | −0.425913 | + | 1.05801i | ||||
\(100\) | 35174.6 | + | 40593.7i | 0.00351746 | + | 0.00405937i | ||||
\(101\) | 1.33639e7 | − | 1.92144e6i | 1.29065 | − | 0.185568i | 0.537415 | − | 0.843318i | \(-0.319401\pi\) |
0.753236 | + | 0.657751i | \(0.228492\pi\) | |||||||
\(102\) | 9.38750e6 | − | 8.51742e6i | 0.875889 | − | 0.794708i | ||||
\(103\) | 5.36928e6 | + | 1.82861e7i | 0.484156 | + | 1.64889i | 0.732915 | + | 0.680320i | \(0.238159\pi\) |
−0.248759 | + | 0.968565i | \(0.580023\pi\) | |||||||
\(104\) | −1.77443e6 | − | 6.04315e6i | −0.154683 | − | 0.526801i | ||||
\(105\) | 1.43059e7 | − | 1.29799e7i | 1.20601 | − | 1.09423i | ||||
\(106\) | −1.35760e7 | + | 1.95193e6i | −1.10714 | + | 0.159182i | ||||
\(107\) | −5.89766e6 | − | 6.80627e6i | −0.465411 | − | 0.537113i | 0.473718 | − | 0.880676i | \(-0.342911\pi\) |
−0.939130 | + | 0.343563i | \(0.888366\pi\) | |||||||
\(108\) | 519489. | + | 522478.i | 0.0396820 | + | 0.0399103i | ||||
\(109\) | −7.00554e6 | − | 1.09008e7i | −0.518142 | − | 0.806245i | 0.479306 | − | 0.877648i | \(-0.340889\pi\) |
−0.997448 | + | 0.0714035i | \(0.977252\pi\) | |||||||
\(110\) | 1.45605e7 | + | 2.09348e6i | 1.04304 | + | 0.149967i | ||||
\(111\) | −1.08396e7 | − | 1.60485e7i | −0.752284 | − | 1.11379i | ||||
\(112\) | 1.80957e7 | + | 1.56800e7i | 1.21706 | + | 1.05459i | ||||
\(113\) | −7.91844e6 | − | 2.32506e6i | −0.516256 | − | 0.151586i | 0.0132180 | − | 0.999913i | \(-0.495792\pi\) |
−0.529474 | + | 0.848326i | \(0.677611\pi\) | |||||||
\(114\) | 2.82445e6 | − | 6.57833e6i | 0.178553 | − | 0.415862i | ||||
\(115\) | 666677. | − | 1.54974e7i | 0.0408764 | − | 0.950206i | ||||
\(116\) | 64860.8i | 0.00385815i | ||||||||
\(117\) | −4.23175e6 | − | 8.24714e6i | −0.244270 | − | 0.476050i | ||||
\(118\) | −5.04644e6 | + | 5.82390e6i | −0.282747 | + | 0.326307i | ||||
\(119\) | −2.07168e7 | + | 3.22360e7i | −1.12696 | + | 1.75358i | ||||
\(120\) | 9.63005e6 | − | 1.57652e7i | 0.508738 | − | 0.832845i | ||||
\(121\) | 4.93106e6 | − | 3.16900e6i | 0.253042 | − | 0.162620i | ||||
\(122\) | 6.39417e6 | + | 1.40013e7i | 0.318805 | + | 0.698085i | ||||
\(123\) | 8.89636e6 | + | 2.79222e7i | 0.431067 | + | 1.35295i | ||||
\(124\) | 42269.4 | + | 293990.i | 0.00199090 | + | 0.0138470i | ||||
\(125\) | 9.45092e6 | − | 2.06946e7i | 0.432802 | − | 0.947704i | ||||
\(126\) | 3.23088e7 | + | 1.87359e7i | 1.43888 | + | 0.834408i | ||||
\(127\) | −3.02425e7 | + | 8.88000e6i | −1.31010 | + | 0.384680i | −0.860911 | − | 0.508756i | \(-0.830105\pi\) |
−0.449190 | + | 0.893436i | \(0.648287\pi\) | |||||||
\(128\) | 1.95834e7 | + | 8.94342e6i | 0.825377 | + | 0.376937i | ||||
\(129\) | 9.96944e6 | − | 3.70647e7i | 0.408890 | − | 1.52018i | ||||
\(130\) | −9.35889e6 | + | 8.10953e6i | −0.373614 | + | 0.323738i | ||||
\(131\) | 1.00228e6 | − | 457728.i | 0.0389530 | − | 0.0177892i | −0.395843 | − | 0.918318i | \(-0.629548\pi\) |
0.434796 | + | 0.900529i | \(0.356820\pi\) | |||||||
\(132\) | −279677. | − | 1.67296e6i | −0.0105840 | − | 0.0633105i | ||||
\(133\) | −3.07999e6 | + | 2.14218e7i | −0.113519 | + | 0.789543i | ||||
\(134\) | −3.44607e7 | − | 2.21465e7i | −1.23725 | − | 0.795132i | ||||
\(135\) | 9.57448e6 | − | 2.54470e7i | 0.334924 | − | 0.890161i | ||||
\(136\) | −1.03246e7 | + | 3.51622e7i | −0.351954 | + | 1.19864i | ||||
\(137\) | 5.11540e7 | 1.69964 | 0.849821 | − | 0.527072i | \(-0.176710\pi\) | ||||
0.849821 | + | 0.527072i | \(0.176710\pi\) | |||||||
\(138\) | 2.89410e7 | − | 7.86811e6i | 0.937426 | − | 0.254855i | ||||
\(139\) | 3.44897e7 | 1.08928 | 0.544638 | − | 0.838671i | \(-0.316667\pi\) | ||||
0.544638 | + | 0.838671i | \(0.316667\pi\) | |||||||
\(140\) | −838328. | + | 2.85508e6i | −0.0258206 | + | 0.0879368i | ||||
\(141\) | −2.59552e7 | + | 1.25776e7i | −0.779754 | + | 0.377860i | ||||
\(142\) | 7.70799e6 | + | 4.95363e6i | 0.225908 | + | 0.145182i | ||||
\(143\) | −3.03693e6 | + | 2.11223e7i | −0.0868477 | + | 0.604039i | ||||
\(144\) | 3.27364e7 | + | 8.00808e6i | 0.913614 | + | 0.223491i | ||||
\(145\) | 2.17718e6 | − | 994284.i | 0.0593070 | − | 0.0270846i | ||||
\(146\) | −1.32847e7 | + | 1.15113e7i | −0.353279 | + | 0.306118i | ||||
\(147\) | −7.18388e7 | − | 1.93228e7i | −1.86530 | − | 0.501717i | ||||
\(148\) | 2.71365e6 | + | 1.23928e6i | 0.0688079 | + | 0.0314235i | ||||
\(149\) | −6.41953e7 | + | 1.88495e7i | −1.58983 | + | 0.466817i | −0.952694 | − | 0.303932i | \(-0.901701\pi\) |
−0.637139 | + | 0.770749i | \(0.719882\pi\) | |||||||
\(150\) | 3.80480e6 | + | 458609.i | 0.0920475 | + | 0.0110949i | ||||
\(151\) | 7.93708e6 | − | 1.73798e7i | 0.187604 | − | 0.410795i | −0.792337 | − | 0.610083i | \(-0.791136\pi\) |
0.979941 | + | 0.199289i | \(0.0638632\pi\) | |||||||
\(152\) | 2.94558e6 | + | 2.04869e7i | 0.0680327 | + | 0.473178i | ||||
\(153\) | −5.22946e6 | + | 5.36805e7i | −0.118042 | + | 1.21170i | ||||
\(154\) | −3.57176e7 | − | 7.82106e7i | −0.788060 | − | 1.72561i | ||||
\(155\) | 9.22039e6 | − | 5.92559e6i | 0.198879 | − | 0.127812i | ||||
\(156\) | 1.21855e6 | + | 744342.i | 0.0256984 | + | 0.0156977i | ||||
\(157\) | 2.31465e7 | − | 3.60167e7i | 0.477350 | − | 0.742772i | −0.516163 | − | 0.856491i | \(-0.672640\pi\) |
0.993513 | + | 0.113719i | \(0.0362764\pi\) | |||||||
\(158\) | 2.31354e7 | − | 2.66997e7i | 0.466636 | − | 0.538527i | ||||
\(159\) | 3.72000e7 | − | 4.49667e7i | 0.733927 | − | 0.887158i | ||||
\(160\) | 5.53988e6i | 0.106925i | ||||||||
\(161\) | −7.83090e7 | + | 4.56941e7i | −1.47884 | + | 0.862919i | ||||
\(162\) | 5.24988e7 | + | 2.70208e6i | 0.970168 | + | 0.0499340i | ||||
\(163\) | 4.18906e7 | + | 1.23002e7i | 0.757635 | + | 0.222462i | 0.637663 | − | 0.770316i | \(-0.279901\pi\) |
0.119972 | + | 0.992777i | \(0.461720\pi\) | |||||||
\(164\) | −3.41167e6 | − | 2.95623e6i | −0.0603967 | − | 0.0523340i | ||||
\(165\) | −5.18688e7 | + | 3.50335e7i | −0.898902 | + | 0.607142i | ||||
\(166\) | −4.08832e7 | − | 5.87812e6i | −0.693692 | − | 0.0997378i | ||||
\(167\) | 7.15765e6 | + | 1.11375e7i | 0.118922 | + | 0.185046i | 0.895611 | − | 0.444838i | \(-0.146739\pi\) |
−0.776689 | + | 0.629884i | \(0.783102\pi\) | |||||||
\(168\) | −1.07950e8 | + | 2.46642e6i | −1.75646 | + | 0.0401315i | ||||
\(169\) | 2.93274e7 | + | 3.38456e7i | 0.467380 | + | 0.539385i | ||||
\(170\) | 7.13208e7 | − | 1.02544e7i | 1.11338 | − | 0.160080i | ||||
\(171\) | 9.90796e6 | + | 2.88053e7i | 0.151530 | + | 0.440540i | ||||
\(172\) | 1.66574e6 | + | 5.67300e6i | 0.0249608 | + | 0.0850087i | ||||
\(173\) | 1.29241e7 | + | 4.40155e7i | 0.189775 | + | 0.646315i | 0.998323 | + | 0.0578846i | \(0.0184356\pi\) |
−0.808548 | + | 0.588430i | \(0.799746\pi\) | |||||||
\(174\) | 3.10959e6 | + | 3.42725e6i | 0.0447488 | + | 0.0493200i | ||||
\(175\) | −1.14674e7 | + | 1.64876e6i | −0.161745 | + | 0.0232555i | ||||
\(176\) | −5.08077e7 | − | 5.86353e7i | −0.702483 | − | 0.810708i | ||||
\(177\) | −748974. | − | 3.27809e7i | −0.0101522 | − | 0.444339i | ||||
\(178\) | 1.72520e7 | + | 2.68446e7i | 0.229281 | + | 0.356769i | ||||
\(179\) | 6.21779e7 | + | 8.93984e6i | 0.810309 | + | 0.116505i | 0.535001 | − | 0.844851i | \(-0.320311\pi\) |
0.275308 | + | 0.961356i | \(0.411220\pi\) | |||||||
\(180\) | 784763. | + | 4.11405e6i | 0.0100296 | + | 0.0525795i | ||||
\(181\) | −8.42355e7 | − | 7.29905e7i | −1.05589 | − | 0.914937i | −0.0593692 | − | 0.998236i | \(-0.518909\pi\) |
−0.996525 | + | 0.0832989i | \(0.973454\pi\) | |||||||
\(182\) | 6.94495e7 | + | 2.03922e7i | 0.853925 | + | 0.250735i | ||||
\(183\) | −6.01812e7 | − | 2.58392e7i | −0.725908 | − | 0.311674i | ||||
\(184\) | −5.95461e7 | + | 6.30292e7i | −0.704679 | + | 0.745897i | ||||
\(185\) | − | 1.10087e8i | − | 1.27830i | ||||||
\(186\) | 1.63282e7 | + | 1.35080e7i | 0.186056 | + | 0.153920i | ||||
\(187\) | 8.13104e7 | − | 9.38372e7i | 0.909286 | − | 1.04937i | ||||
\(188\) | 2.40204e6 | − | 3.73764e6i | 0.0263650 | − | 0.0410247i | ||||
\(189\) | −1.55381e8 | + | 3.33346e7i | −1.67410 | + | 0.359152i | ||||
\(190\) | 3.42351e7 | − | 2.20016e7i | 0.362105 | − | 0.232711i | ||||
\(191\) | −1.90137e7 | − | 4.16341e7i | −0.197446 | − | 0.432347i | 0.784849 | − | 0.619687i | \(-0.212741\pi\) |
−0.982295 | + | 0.187340i | \(0.940013\pi\) | |||||||
\(192\) | −9.80962e7 | + | 3.12546e7i | −1.00023 | + | 0.318684i | ||||
\(193\) | −2.26038e7 | − | 1.57213e8i | −0.226324 | − | 1.57412i | −0.713398 | − | 0.700759i | \(-0.752845\pi\) |
0.487074 | − | 0.873361i | \(-0.338064\pi\) | |||||||
\(194\) | −1.01288e7 | + | 2.21790e7i | −0.0995985 | + | 0.218090i | ||||
\(195\) | 6.30556e6 | − | 5.23133e7i | 0.0608979 | − | 0.505232i | ||||
\(196\) | 1.09954e7 | − | 3.22855e6i | 0.104308 | − | 0.0306275i | ||||
\(197\) | −1.13986e8 | − | 5.20558e7i | −1.06224 | − | 0.485107i | −0.193868 | − | 0.981028i | \(-0.562103\pi\) |
−0.868368 | + | 0.495921i | \(0.834830\pi\) | |||||||
\(198\) | −9.49841e7 | − | 7.49907e7i | −0.869607 | − | 0.686561i | ||||
\(199\) | 1.34248e8 | − | 1.16327e8i | 1.20760 | − | 1.04639i | 0.209962 | − | 0.977709i | \(-0.432666\pi\) |
0.997639 | − | 0.0686828i | \(-0.0218796\pi\) | |||||||
\(200\) | −1.00785e7 | + | 4.60268e6i | −0.0890818 | + | 0.0406823i | ||||
\(201\) | 1.71913e8 | − | 2.87397e7i | 1.49322 | − | 0.249629i | ||||
\(202\) | −2.11180e7 | + | 1.46879e8i | −0.180270 | + | 1.25381i | ||||
\(203\) | −1.17689e7 | − | 7.56342e6i | −0.0987416 | − | 0.0634574i | ||||
\(204\) | −3.62311e6 | − | 7.47667e6i | −0.0298797 | − | 0.0616598i | ||||
\(205\) | −4.69323e7 | + | 1.59837e8i | −0.380481 | + | 1.29580i | ||||
\(206\) | −2.09462e8 | −1.66944 | ||||||||
\(207\) | −6.87033e7 | + | 1.07541e8i | −0.538371 | + | 0.842708i | ||||
\(208\) | 6.53144e7 | 0.503254 | ||||||||
\(209\) | 1.97569e7 | − | 6.72859e7i | 0.149695 | − | 0.509815i | ||||
\(210\) | 9.25829e7 | + | 1.91054e8i | 0.689863 | + | 1.42361i | ||||
\(211\) | −4.63024e7 | − | 2.97568e7i | −0.339324 | − | 0.218071i | 0.359870 | − | 0.933003i | \(-0.382821\pi\) |
−0.699194 | + | 0.714932i | \(0.746458\pi\) | |||||||
\(212\) | −1.27940e6 | + | 8.89841e6i | −0.00922211 | + | 0.0641412i | ||||
\(213\) | −3.84527e7 | + | 6.42834e6i | −0.272645 | + | 0.0455796i | ||||
\(214\) | 9.00375e7 | − | 4.11187e7i | 0.628022 | − | 0.286808i | ||||
\(215\) | 1.64890e8 | − | 1.42878e8i | 1.13152 | − | 0.980465i | ||||
\(216\) | −1.33599e8 | + | 7.24538e7i | −0.902016 | + | 0.489185i | ||||
\(217\) | −5.82733e7 | − | 2.66125e7i | −0.387133 | − | 0.176798i | ||||
\(218\) | 1.36647e8 | − | 4.01233e7i | 0.893312 | − | 0.262300i | ||||
\(219\) | 8.95058e6 | − | 7.42575e7i | 0.0575833 | − | 0.477734i | ||||
\(220\) | 4.00537e6 | − | 8.77053e6i | 0.0253608 | − | 0.0555324i | ||||
\(221\) | 1.48756e7 | + | 1.03462e8i | 0.0927048 | + | 0.644776i | ||||
\(222\) | 2.02804e8 | − | 6.46158e7i | 1.24406 | − | 0.396372i | ||||
\(223\) | 1.12106e8 | + | 2.45478e8i | 0.676958 | + | 1.48233i | 0.865834 | + | 0.500331i | \(0.166788\pi\) |
−0.188876 | + | 0.982001i | \(0.560484\pi\) | |||||||
\(224\) | 2.72401e7 | − | 1.75061e7i | 0.161935 | − | 0.104069i | ||||
\(225\) | −1.33010e7 | + | 9.43330e6i | −0.0778475 | + | 0.0552109i | ||||
\(226\) | 4.90380e7 | − | 7.63047e7i | 0.282588 | − | 0.439715i | ||||
\(227\) | −6.41753e7 | + | 7.40623e7i | −0.364148 | + | 0.420249i | −0.908025 | − | 0.418916i | \(-0.862410\pi\) |
0.543877 | + | 0.839165i | \(0.316956\pi\) | |||||||
\(228\) | −3.61556e6 | − | 2.99107e6i | −0.0202024 | − | 0.0167130i | ||||
\(229\) | 9.73871e7i | 0.535892i | 0.963434 | + | 0.267946i | \(0.0863449\pi\) | ||||
−0.963434 | + | 0.267946i | \(0.913655\pi\) | |||||||
\(230\) | 1.61364e8 | + | 5.50175e7i | 0.874501 | + | 0.298163i | ||||
\(231\) | 3.36169e8 | + | 1.44337e8i | 1.79439 | + | 0.770433i | ||||
\(232\) | −1.28372e7 | − | 3.76935e6i | −0.0674938 | − | 0.0198180i | ||||
\(233\) | −1.30914e8 | − | 1.13438e8i | −0.678018 | − | 0.587506i | 0.246270 | − | 0.969201i | \(-0.420795\pi\) |
−0.924288 | + | 0.381695i | \(0.875340\pi\) | |||||||
\(234\) | 1.00074e8 | − | 1.90893e7i | 0.510581 | − | 0.0973943i | ||||
\(235\) | −1.62283e8 | − | 2.33328e7i | −0.815711 | − | 0.117282i | ||||
\(236\) | 2.73078e6 | + | 4.24917e6i | 0.0135237 | + | 0.0210432i | ||||
\(237\) | 3.43368e6 | + | 1.50284e8i | 0.0167548 | + | 0.733321i | ||||
\(238\) | −2.75797e8 | − | 3.18287e8i | −1.32608 | − | 1.53038i | ||||
\(239\) | 3.30289e8 | − | 4.74884e7i | 1.56495 | − | 0.225006i | 0.695318 | − | 0.718702i | \(-0.255264\pi\) |
0.869635 | + | 0.493696i | \(0.164354\pi\) | |||||||
\(240\) | 1.28730e8 | + | 1.41880e8i | 0.601092 | + | 0.662494i | ||||
\(241\) | 7.69918e7 | + | 2.62210e8i | 0.354311 | + | 1.20667i | 0.923220 | + | 0.384272i | \(0.125547\pi\) |
−0.568909 | + | 0.822400i | \(0.692634\pi\) | |||||||
\(242\) | 1.81500e7 | + | 6.18133e7i | 0.0823234 | + | 0.280368i | ||||
\(243\) | −1.73161e8 | + | 1.41587e8i | −0.774154 | + | 0.632997i | ||||
\(244\) | 9.98620e6 | − | 1.43580e6i | 0.0440084 | − | 0.00632746i | ||||
\(245\) | −2.76927e8 | − | 3.19591e8i | −1.20305 | − | 1.38840i | ||||
\(246\) | −3.22002e8 | + | 7.35706e6i | −1.37907 | + | 0.0315088i | ||||
\(247\) | 3.19168e7 | + | 4.96635e7i | 0.134766 | + | 0.209700i | ||||
\(248\) | −6.06430e7 | − | 8.71915e6i | −0.252464 | − | 0.0362989i | ||||
\(249\) | 1.45638e8 | − | 9.83679e7i | 0.597830 | − | 0.403790i | ||||
\(250\) | 1.88972e8 | + | 1.63745e8i | 0.764903 | + | 0.662792i | ||||
\(251\) | 2.32937e8 | + | 6.83966e7i | 0.929782 | + | 0.273009i | 0.711345 | − | 0.702843i | \(-0.248086\pi\) |
0.218437 | + | 0.975851i | \(0.429904\pi\) | |||||||
\(252\) | 1.77493e7 | − | 1.68592e7i | 0.0698681 | − | 0.0663645i | ||||
\(253\) | 2.72232e8 | − | 1.10443e8i | 1.05686 | − | 0.428764i | ||||
\(254\) | − | 3.46419e8i | − | 1.32643i | ||||||
\(255\) | −1.95428e8 | + | 2.36230e8i | −0.738069 | + | 0.892165i | ||||
\(256\) | 2.95845e7 | − | 3.41423e7i | 0.110211 | − | 0.127190i | ||||
\(257\) | 1.40179e8 | − | 2.18122e8i | 0.515129 | − | 0.801557i | −0.482087 | − | 0.876123i | \(-0.660121\pi\) |
0.997216 | + | 0.0745668i | \(0.0237574\pi\) | |||||||
\(258\) | 3.59997e8 | + | 2.19902e8i | 1.30506 | + | 0.797186i | ||||
\(259\) | −5.41306e8 | + | 3.47876e8i | −1.93595 | + | 1.24416i | ||||
\(260\) | 3.37186e6 | + | 7.38335e6i | 0.0118977 | + | 0.0260523i | ||||
\(261\) | −1.95980e7 | − | 1.90920e6i | −0.0682292 | − | 0.00664677i | ||||
\(262\) | 1.72346e6 | + | 1.19869e7i | 0.00592035 | + | 0.0411769i | ||||
\(263\) | −1.78347e8 | + | 3.90525e8i | −0.604533 | + | 1.32374i | 0.321718 | + | 0.946836i | \(0.395740\pi\) |
−0.926251 | + | 0.376907i | \(0.876988\pi\) | |||||||
\(264\) | 3.47365e8 | + | 4.18695e7i | 1.16191 | + | 0.140050i | ||||
\(265\) | 3.18305e8 | − | 9.34629e7i | 1.05071 | − | 0.308517i | ||||
\(266\) | −2.16367e8 | − | 9.88117e7i | −0.704865 | − | 0.321901i | ||||
\(267\) | −1.31117e8 | − | 3.52672e7i | −0.421571 | − | 0.113392i | ||||
\(268\) | −2.02916e7 | + | 1.75828e7i | −0.0643939 | + | 0.0557976i | ||||
\(269\) | 3.07009e7 | − | 1.40206e7i | 0.0961653 | − | 0.0439172i | −0.366752 | − | 0.930319i | \(-0.619530\pi\) |
0.462917 | + | 0.886402i | \(0.346803\pi\) | |||||||
\(270\) | 2.38705e8 | + | 1.79763e8i | 0.738056 | + | 0.555812i | ||||
\(271\) | −6.91020e7 | + | 4.80615e8i | −0.210910 | + | 1.46691i | 0.559215 | + | 0.829022i | \(0.311102\pi\) |
−0.770126 | + | 0.637892i | \(0.779807\pi\) | |||||||
\(272\) | −3.19704e8 | − | 2.05461e8i | −0.963291 | − | 0.619069i | ||||
\(273\) | −2.77155e8 | + | 1.34306e8i | −0.824429 | + | 0.399509i | ||||
\(274\) | −1.58396e8 | + | 5.39446e8i | −0.465175 | + | 1.58424i | ||||
\(275\) | 3.75397e7 | 0.108850 | ||||||||
\(276\) | 396044. | − | 1.96540e7i | 0.00113387 | − | 0.0562691i | ||||
\(277\) | −3.37458e7 | −0.0953983 | −0.0476991 | − | 0.998862i | \(-0.515189\pi\) | ||||
−0.0476991 | + | 0.998862i | \(0.515189\pi\) | |||||||
\(278\) | −1.06796e8 | + | 3.63712e8i | −0.298124 | + | 1.01532i | ||||
\(279\) | −9.00749e7 | + | 4.11819e6i | −0.248307 | + | 0.0113525i | ||||
\(280\) | −5.16359e8 | − | 3.31844e8i | −1.40572 | − | 0.903401i | ||||
\(281\) | 6.27461e7 | − | 4.36409e8i | 0.168700 | − | 1.17333i | −0.712876 | − | 0.701290i | \(-0.752608\pi\) |
0.881576 | − | 0.472043i | \(-0.156483\pi\) | |||||||
\(282\) | −5.22686e7 | − | 3.12657e8i | −0.138793 | − | 0.830226i | ||||
\(283\) | 5.34210e8 | − | 2.43965e8i | 1.40107 | − | 0.639847i | 0.435546 | − | 0.900166i | \(-0.356555\pi\) |
0.965522 | + | 0.260320i | \(0.0838280\pi\) | |||||||
\(284\) | 4.53872e6 | − | 3.93283e6i | 0.0117576 | − | 0.0101880i | ||||
\(285\) | −4.49765e7 | + | 1.67215e8i | −0.115088 | + | 0.427876i | ||||
\(286\) | −2.13342e8 | − | 9.74300e7i | −0.539256 | − | 0.246270i | ||||
\(287\) | 9.34239e8 | − | 2.74317e8i | 2.33277 | − | 0.684962i | ||||
\(288\) | 2.28634e7 | − | 3.94262e7i | 0.0563984 | − | 0.0972550i | ||||
\(289\) | 8.21894e7 | − | 1.79970e8i | 0.200297 | − | 0.438588i | ||||
\(290\) | 3.74373e6 | + | 2.60382e7i | 0.00901388 | + | 0.0626929i | ||||
\(291\) | −3.14950e7 | − | 9.88507e7i | −0.0749232 | − | 0.235155i | ||||
\(292\) | 4.78628e6 | + | 1.04805e7i | 0.0112501 | + | 0.0246344i | ||||
\(293\) | −6.16201e7 | + | 3.96008e7i | −0.143115 | + | 0.0919746i | −0.610239 | − | 0.792217i | \(-0.708927\pi\) |
0.467124 | + | 0.884192i | \(0.345290\pi\) | |||||||
\(294\) | 4.26214e8 | − | 6.97746e8i | 0.978165 | − | 1.60133i | ||||
\(295\) | 1.00770e8 | − | 1.56802e8i | 0.228537 | − | 0.355610i | ||||
\(296\) | −4.02982e8 | + | 4.65066e8i | −0.903159 | + | 1.04230i | ||||
\(297\) | 5.13725e8 | − | 3.52617e7i | 1.13785 | − | 0.0781008i | ||||
\(298\) | − | 7.35340e8i | − | 1.60965i | ||||||
\(299\) | −7.98116e7 | + | 2.34085e8i | −0.172670 | + | 0.506435i | ||||
\(300\) | 991023. | − | 2.30816e6i | 0.00211914 | − | 0.00493561i | ||||
\(301\) | −1.22360e9 | − | 3.59282e8i | −2.58617 | − | 0.759369i | ||||
\(302\) | 1.58702e8 | + | 1.37516e8i | 0.331557 | + | 0.287296i | ||||
\(303\) | −3.53402e8 | − | 5.23227e8i | −0.729826 | − | 1.08054i | ||||
\(304\) | −2.12454e8 | − | 3.05462e7i | −0.433717 | − | 0.0623591i | ||||
\(305\) | −2.01279e8 | − | 3.13196e8i | −0.406209 | − | 0.632073i | ||||
\(306\) | −5.49896e8 | − | 2.21366e8i | −1.09712 | − | 0.441658i | ||||
\(307\) | 1.72140e8 | + | 1.98661e8i | 0.339546 | + | 0.391857i | 0.899684 | − | 0.436543i | \(-0.143797\pi\) |
−0.560138 | + | 0.828400i | \(0.689252\pi\) | |||||||
\(308\) | −5.57825e7 | + | 8.02031e6i | −0.108785 | + | 0.0156410i | ||||
\(309\) | 6.60060e8 | − | 5.98883e8i | 1.27271 | − | 1.15475i | ||||
\(310\) | 3.39380e7 | + | 1.15582e8i | 0.0647023 | + | 0.220356i | ||||
\(311\) | −1.08111e7 | − | 3.68191e7i | −0.0203801 | − | 0.0694084i | 0.948675 | − | 0.316252i | \(-0.102425\pi\) |
−0.969055 | + | 0.246844i | \(0.920606\pi\) | |||||||
\(312\) | −2.18135e8 | + | 1.97918e8i | −0.406617 | + | 0.368930i | ||||
\(313\) | 7.77694e8 | − | 1.11816e8i | 1.43352 | − | 0.206109i | 0.618611 | − | 0.785698i | \(-0.287696\pi\) |
0.814909 | + | 0.579588i | \(0.196787\pi\) | |||||||
\(314\) | 3.08143e8 | + | 3.55616e8i | 0.561693 | + | 0.648228i | ||||
\(315\) | −8.38002e8 | − | 3.37346e8i | −1.51063 | − | 0.608119i | ||||
\(316\) | −1.25193e7 | − | 1.94804e7i | −0.0223190 | − | 0.0347290i | ||||
\(317\) | 7.20755e6 | + | 1.03629e6i | 0.0127081 | + | 0.00182715i | 0.148666 | − | 0.988887i | \(-0.452502\pi\) |
−0.135958 | + | 0.990715i | \(0.543411\pi\) | |||||||
\(318\) | 3.59010e8 | + | 5.31530e8i | 0.626053 | + | 0.926901i | ||||
\(319\) | 3.42587e7 | + | 2.96853e7i | 0.0590885 | + | 0.0512005i | ||||
\(320\) | −5.61538e8 | − | 1.64882e8i | −0.957974 | − | 0.281287i | ||||
\(321\) | −1.66163e8 | + | 3.87004e8i | −0.280393 | + | 0.653053i | ||||
\(322\) | −2.39389e8 | − | 9.67299e8i | −0.399585 | − | 1.61460i | ||||
\(323\) | − | 3.43497e8i | − | 0.567171i | ||||||
\(324\) | 1.13939e7 | − | 3.25176e7i | 0.0186108 | − | 0.0531143i | ||||
\(325\) | −2.06951e7 | + | 2.38834e7i | −0.0334407 | + | 0.0385927i | ||||
\(326\) | −2.59424e8 | + | 4.03671e8i | −0.414714 | + | 0.645307i | ||||
\(327\) | −3.15887e8 | + | 5.17132e8i | −0.499591 | + | 0.817870i | ||||
\(328\) | 7.83364e8 | − | 5.03437e8i | 1.22576 | − | 0.787747i | ||||
\(329\) | 3.98089e8 | + | 8.71694e8i | 0.616304 | + | 1.34952i | ||||
\(330\) | −2.08838e8 | − | 6.55463e8i | −0.319898 | − | 1.00404i | ||||
\(331\) | 1.43442e8 | + | 9.97663e8i | 0.217410 | + | 1.51212i | 0.747548 | + | 0.664208i | \(0.231231\pi\) |
−0.530138 | + | 0.847911i | \(0.677860\pi\) | |||||||
\(332\) | −1.12463e7 | + | 2.46261e7i | −0.0168666 | + | 0.0369328i | ||||
\(333\) | −4.54333e8 | + | 7.83465e8i | −0.674248 | + | 1.16269i | ||||
\(334\) | −1.39614e8 | + | 4.09945e7i | −0.205030 | + | 0.0602022i | ||||
\(335\) | 9.01261e8 | + | 4.11592e8i | 1.30977 | + | 0.598150i | ||||
\(336\) | 2.90847e8 | − | 1.08132e9i | 0.418290 | − | 1.55513i | ||||
\(337\) | 7.01475e8 | − | 6.07831e8i | 0.998407 | − | 0.865124i | 0.00754014 | − | 0.999972i | \(-0.497600\pi\) |
0.990866 | + | 0.134847i | \(0.0430544\pi\) | |||||||
\(338\) | −4.47730e8 | + | 2.04472e8i | −0.630679 | + | 0.288021i | ||||
\(339\) | 6.36369e7 | + | 3.80660e8i | 0.0887177 | + | 0.530686i | ||||
\(340\) | 6.72126e6 | − | 4.67474e7i | 0.00927416 | − | 0.0645032i | ||||
\(341\) | 1.74628e8 | + | 1.12226e8i | 0.238492 | + | 0.153269i | ||||
\(342\) | −3.34446e8 | + | 1.52908e7i | −0.452100 | + | 0.0206699i | ||||
\(343\) | −3.35850e8 | + | 1.14380e9i | −0.449383 | + | 1.53046i | ||||
\(344\) | −1.21961e9 | −1.61534 | ||||||||
\(345\) | −6.65797e8 | + | 2.87993e8i | −0.872921 | + | 0.377585i | ||||
\(346\) | −5.04185e8 | −0.654370 | ||||||||
\(347\) | 1.36679e6 | − | 4.65487e6i | 0.00175610 | − | 0.00598073i | −0.958610 | − | 0.284722i | \(-0.908099\pi\) |
0.960366 | + | 0.278741i | \(0.0899170\pi\) | |||||||
\(348\) | 2.72963e6 | − | 1.32275e6i | 0.00347197 | − | 0.00168248i | ||||
\(349\) | −8.30136e8 | − | 5.33496e8i | −1.04535 | − | 0.671803i | −0.0990429 | − | 0.995083i | \(-0.531578\pi\) |
−0.946303 | + | 0.323280i | \(0.895214\pi\) | |||||||
\(350\) | 1.81211e7 | − | 1.26035e8i | 0.0225916 | − | 0.157128i | ||||
\(351\) | −2.60775e8 | + | 3.46280e8i | −0.321878 | + | 0.427418i | ||||
\(352\) | −9.54400e7 | + | 4.35860e7i | −0.116636 | + | 0.0532657i | ||||
\(353\) | −1.04881e9 | + | 9.08801e8i | −1.26907 | + | 1.09966i | −0.278823 | + | 0.960342i | \(0.589944\pi\) |
−0.990248 | + | 0.139314i | \(0.955510\pi\) | |||||||
\(354\) | 3.48011e8 | + | 9.36059e7i | 0.416948 | + | 0.112148i | ||||
\(355\) | −2.01589e8 | − | 9.20628e7i | −0.239149 | − | 0.109216i | ||||
\(356\) | 2.00684e7 | − | 5.89261e6i | 0.0235742 | − | 0.00692202i | ||||
\(357\) | 1.77912e9 | + | 2.14446e8i | 2.06951 | + | 0.249447i | ||||
\(358\) | −2.86806e8 | + | 6.28017e8i | −0.330368 | + | 0.723404i | ||||
\(359\) | 7.42887e7 | + | 5.16689e8i | 0.0847407 | + | 0.589385i | 0.987306 | + | 0.158831i | \(0.0507726\pi\) |
−0.902565 | + | 0.430554i | \(0.858318\pi\) | |||||||
\(360\) | −8.59859e8 | − | 8.37660e7i | −0.971334 | − | 0.0946257i | ||||
\(361\) | 2.90736e8 | + | 6.36623e8i | 0.325255 | + | 0.712208i | ||||
\(362\) | 1.03055e9 | − | 6.62297e8i | 1.14180 | − | 0.733791i | ||||
\(363\) | −2.33928e8 | − | 1.42894e8i | −0.256690 | − | 0.156798i | ||||
\(364\) | 2.56494e7 | − | 3.99113e7i | 0.0278755 | − | 0.0433751i | ||||
\(365\) | 2.78427e8 | − | 3.21322e8i | 0.299699 | − | 0.345872i | ||||
\(366\) | 4.58836e8 | − | 5.54632e8i | 0.489185 | − | 0.591318i | ||||
\(367\) | − | 7.14561e8i | − | 0.754584i | −0.926094 | − | 0.377292i | \(-0.876855\pi\) | ||
0.926094 | − | 0.377292i | \(-0.123145\pi\) | |||||||
\(368\) | −4.53177e8 | − | 7.76639e8i | −0.474024 | − | 0.812366i | ||||
\(369\) | 9.93663e8 | − | 9.43835e8i | 1.02955 | − | 0.977921i | ||||
\(370\) | 1.16092e9 | + | 3.40877e8i | 1.19151 | + | 0.349858i | ||||
\(371\) | −1.46542e9 | − | 1.26979e9i | −1.48988 | − | 1.29099i | ||||
\(372\) | 1.15104e7 | − | 7.77442e6i | 0.0115928 | − | 0.00783011i | ||||
\(373\) | −1.50439e9 | − | 2.16299e8i | −1.50100 | − | 0.215811i | −0.657711 | − | 0.753271i | \(-0.728475\pi\) |
−0.843290 | + | 0.537459i | \(0.819384\pi\) | |||||||
\(374\) | 7.37789e8 | + | 1.14802e9i | 0.729259 | + | 1.13475i | ||||
\(375\) | −1.06366e9 | + | 2.43024e7i | −1.04158 | + | 0.0237980i | ||||
\(376\) | 6.00161e8 | + | 6.92623e8i | 0.582251 | + | 0.671953i | ||||
\(377\) | −3.77726e7 | + | 5.43088e6i | −0.0363063 | + | 0.00522006i | ||||
\(378\) | 1.29598e8 | − | 1.74179e9i | 0.123417 | − | 1.65873i | ||||
\(379\) | 2.67484e8 | + | 9.10968e8i | 0.252384 | + | 0.859539i | 0.984052 | + | 0.177879i | \(0.0569236\pi\) |
−0.731669 | + | 0.681660i | \(0.761258\pi\) | |||||||
\(380\) | −7.51490e6 | − | 2.55934e7i | −0.00702556 | − | 0.0239268i | ||||
\(381\) | 9.90464e8 | + | 1.09164e9i | 0.917490 | + | 1.01121i | ||||
\(382\) | 4.97929e8 | − | 7.15913e7i | 0.457031 | − | 0.0657111i | ||||
\(383\) | −9.04188e8 | − | 1.04349e9i | −0.822362 | − | 0.949057i | 0.177020 | − | 0.984207i | \(-0.443354\pi\) |
−0.999382 | + | 0.0351505i | \(0.988809\pi\) | |||||||
\(384\) | −2.29974e7 | − | 1.00654e9i | −0.0207262 | − | 0.907137i | ||||
\(385\) | 1.12434e9 | + | 1.74950e9i | 1.00412 | + | 1.56243i | ||||
\(386\) | 1.72788e9 | + | 2.48432e8i | 1.52918 | + | 0.219863i | ||||
\(387\) | −1.76316e9 | + | 3.36326e8i | −1.54633 | + | 0.294966i | ||||
\(388\) | 1.20780e7 | + | 1.04657e7i | 0.0104975 | + | 0.00909611i | ||||
\(389\) | 1.69217e9 | + | 4.96865e8i | 1.45754 | + | 0.427971i | 0.912026 | − | 0.410133i | \(-0.134518\pi\) |
0.545510 | + | 0.838104i | \(0.316336\pi\) | |||||||
\(390\) | 5.32147e8 | + | 2.28481e8i | 0.454261 | + | 0.195040i | ||||
\(391\) | 1.12703e9 | − | 8.94745e8i | 0.953495 | − | 0.756973i | ||||
\(392\) | 2.36384e9i | 1.98206i | ||||||||
\(393\) | −3.97034e7 | − | 3.28458e7i | −0.0329955 | − | 0.0272964i | ||||
\(394\) | 9.01908e8 | − | 1.04086e9i | 0.742891 | − | 0.857342i | ||||
\(395\) | −4.61982e8 | + | 7.18859e8i | −0.377169 | + | 0.586886i | ||||
\(396\) | −6.47018e7 | + | 4.58878e7i | −0.0523580 | + | 0.0371333i | ||||
\(397\) | 7.30181e8 | − | 4.69259e8i | 0.585684 | − | 0.376396i | −0.213985 | − | 0.976837i | \(-0.568644\pi\) |
0.799669 | + | 0.600440i | \(0.205008\pi\) | |||||||
\(398\) | 8.11036e8 | + | 1.77592e9i | 0.644836 | + | 1.41199i | ||||
\(399\) | 9.64337e8 | − | 3.07249e8i | 0.760018 | − | 0.242151i | ||||
\(400\) | −1.63518e7 | − | 1.13729e8i | −0.0127748 | − | 0.0888510i | ||||
\(401\) | −1.82829e8 | + | 4.00339e8i | −0.141592 | + | 0.310044i | −0.967121 | − | 0.254316i | \(-0.918150\pi\) |
0.825529 | + | 0.564360i | \(0.190877\pi\) | |||||||
\(402\) | −2.29245e8 | + | 1.90191e9i | −0.175999 | + | 1.46015i | ||||
\(403\) | −1.67670e8 | + | 4.92324e7i | −0.127611 | + | 0.0374700i | ||||
\(404\) | 8.84729e7 | + | 4.04042e7i | 0.0667537 | + | 0.0304854i | ||||
\(405\) | −1.26618e9 | + | 1.16021e8i | −0.947117 | + | 0.0867851i | ||||
\(406\) | 1.16202e8 | − | 1.00690e8i | 0.0861733 | − | 0.0746696i | ||||
\(407\) | 1.89655e9 | − | 8.66126e8i | 1.39439 | − | 0.636796i | ||||
\(408\) | 1.69034e9 | − | 2.82583e8i | 1.23215 | − | 0.205985i | ||||
\(409\) | 2.92656e8 | − | 2.03547e9i | 0.211508 | − | 1.47107i | −0.556618 | − | 0.830768i | \(-0.687901\pi\) |
0.768126 | − | 0.640299i | \(-0.221190\pi\) | |||||||
\(410\) | −1.54024e9 | − | 9.89852e8i | −1.10368 | − | 0.709295i | ||||
\(411\) | −1.04322e9 | − | 2.15279e9i | −0.741187 | − | 1.52952i | ||||
\(412\) | −3.86798e7 | + | 1.31731e8i | −0.0272486 | + | 0.0928001i | ||||
\(413\) | −1.08944e9 | −0.760991 | ||||||||
\(414\) | −9.21338e8 | − | 1.05751e9i | −0.638143 | − | 0.732457i | ||||
\(415\) | 9.99023e8 | 0.686131 | ||||||||
\(416\) | 2.48845e7 | − | 8.47489e7i | 0.0169474 | − | 0.0577175i | ||||
\(417\) | −7.03371e8 | − | 1.45148e9i | −0.475016 | − | 0.980246i | ||||
\(418\) | 6.48389e8 | + | 4.16695e8i | 0.434229 | + | 0.279062i | ||||
\(419\) | 1.17375e8 | − | 8.16362e8i | 0.0779519 | − | 0.542167i | −0.913001 | − | 0.407957i | \(-0.866241\pi\) |
0.990953 | − | 0.134210i | \(-0.0428497\pi\) | |||||||
\(420\) | 1.37251e8 | − | 2.29450e7i | 0.0903948 | − | 0.0151118i | ||||
\(421\) | −8.32765e7 | + | 3.80311e7i | −0.0543920 | + | 0.0248400i | −0.442425 | − | 0.896805i | \(-0.645882\pi\) |
0.388033 | + | 0.921645i | \(0.373155\pi\) | |||||||
\(422\) | 4.57174e8 | − | 3.96143e8i | 0.296133 | − | 0.256601i | ||||
\(423\) | 1.05864e9 | + | 8.35807e8i | 0.680077 | + | 0.536926i | ||||
\(424\) | −1.68682e9 | − | 7.70346e8i | −1.07470 | − | 0.490801i | ||||
\(425\) | 1.76430e8 | − | 5.18046e7i | 0.111484 | − | 0.0327346i | ||||
\(426\) | 5.12764e7 | − | 4.25409e8i | 0.0321354 | − | 0.266608i | ||||
\(427\) | −9.03968e8 | + | 1.97941e9i | −0.561896 | + | 1.23038i | ||||
\(428\) | −9.23313e6 | − | 6.42178e7i | −0.00569241 | − | 0.0395915i | ||||
\(429\) | 9.50854e8 | − | 3.02953e8i | 0.581451 | − | 0.185257i | ||||
\(430\) | 9.96154e8 | + | 2.18127e9i | 0.604208 | + | 1.32303i | ||||
\(431\) | −6.28644e8 | + | 4.04005e8i | −0.378211 | + | 0.243062i | −0.715910 | − | 0.698193i | \(-0.753988\pi\) |
0.337699 | + | 0.941254i | \(0.390352\pi\) | |||||||
\(432\) | −3.30600e8 | − | 1.54101e9i | −0.197292 | − | 0.919627i | ||||
\(433\) | 1.18564e8 | − | 1.84489e8i | 0.0701852 | − | 0.109210i | −0.804387 | − | 0.594106i | \(-0.797506\pi\) |
0.874572 | + | 0.484896i | \(0.161142\pi\) | |||||||
\(434\) | 4.61083e8 | − | 5.32118e8i | 0.270748 | − | 0.312460i | ||||
\(435\) | −8.62445e7 | − | 7.13482e7i | −0.0502365 | − | 0.0415596i | ||||
\(436\) | − | 9.33470e7i | − | 0.0539384i | ||||||
\(437\) | 3.69087e8 | − | 7.24101e8i | 0.211565 | − | 0.415063i | ||||
\(438\) | 7.55369e8 | + | 3.24323e8i | 0.429536 | + | 0.184424i | ||||
\(439\) | −4.42282e8 | − | 1.29866e8i | −0.249501 | − | 0.0732602i | 0.154590 | − | 0.987979i | \(-0.450594\pi\) |
−0.404092 | + | 0.914718i | \(0.632412\pi\) | |||||||
\(440\) | 1.50309e9 | + | 1.30244e9i | 0.841204 | + | 0.728908i | ||||
\(441\) | 6.51867e8 | + | 3.41736e9i | 0.361930 | + | 1.89738i | ||||
\(442\) | −1.13712e9 | − | 1.63494e8i | −0.626369 | − | 0.0900582i | ||||
\(443\) | 1.05163e9 | + | 1.63637e9i | 0.574712 | + | 0.894269i | 0.999941 | − | 0.0108166i | \(-0.00344311\pi\) |
−0.425230 | + | 0.905085i | \(0.639807\pi\) | |||||||
\(444\) | −3.18673e6 | − | 1.39476e8i | −0.00172785 | − | 0.0756239i | ||||
\(445\) | −5.05436e8 | − | 5.83304e8i | −0.271898 | − | 0.313787i | ||||
\(446\) | −2.93582e9 | + | 4.22108e8i | −1.56696 | + | 0.225295i | ||||
\(447\) | 2.10245e9 | + | 2.31721e9i | 1.11339 | + | 1.22713i | ||||
\(448\) | 9.63729e8 | + | 3.28216e9i | 0.506386 | + | 1.72459i | ||||
\(449\) | −6.92413e8 | − | 2.35814e9i | −0.360996 | − | 1.22944i | −0.917211 | − | 0.398402i | \(-0.869565\pi\) |
0.556215 | − | 0.831039i | \(-0.312253\pi\) | |||||||
\(450\) | −5.82934e7 | − | 1.69475e8i | −0.0301561 | − | 0.0876724i | ||||
\(451\) | −3.12288e9 | + | 4.49003e8i | −1.60302 | + | 0.230479i | ||||
\(452\) | −3.89327e7 | − | 4.49307e7i | −0.0198303 | − | 0.0228854i | ||||
\(453\) | −8.93284e8 | + | 2.04096e7i | −0.451488 | + | 0.0103155i | ||||
\(454\) | −5.82310e8 | − | 9.06093e8i | −0.292051 | − | 0.454441i | ||||
\(455\) | −1.73289e9 | − | 2.49153e8i | −0.862447 | − | 0.124001i | ||||
\(456\) | 8.02110e8 | − | 5.41766e8i | 0.396147 | − | 0.267568i | ||||
\(457\) | −7.83737e8 | − | 6.79112e8i | −0.384117 | − | 0.332839i | 0.441303 | − | 0.897358i | \(-0.354516\pi\) |
−0.825420 | + | 0.564519i | \(0.809062\pi\) | |||||||
\(458\) | −1.02700e9 | − | 3.01554e8i | −0.499506 | − | 0.146668i | ||||
\(459\) | 2.36576e9 | − | 8.74662e8i | 1.14190 | − | 0.422178i | ||||
\(460\) | 6.43985e7 | − | 9.13227e7i | 0.0308477 | − | 0.0437448i | ||||
\(461\) | 6.09736e8i | 0.289860i | 0.989442 | + | 0.144930i | \(0.0462957\pi\) | ||||
−0.989442 | + | 0.144930i | \(0.953704\pi\) | |||||||
\(462\) | −2.56304e9 | + | 3.09815e9i | −1.20923 | + | 1.46169i | ||||
\(463\) | −1.46825e9 | + | 1.69445e9i | −0.687491 | + | 0.793407i | −0.987006 | − | 0.160684i | \(-0.948630\pi\) |
0.299514 | + | 0.954092i | \(0.403175\pi\) | |||||||
\(464\) | 7.50112e7 | − | 1.16720e8i | 0.0348588 | − | 0.0542414i | ||||
\(465\) | −4.37412e8 | − | 2.67191e8i | −0.201746 | − | 0.123236i | ||||
\(466\) | 1.60163e9 | − | 1.02931e9i | 0.733182 | − | 0.471188i | ||||
\(467\) | −3.31208e8 | − | 7.25243e8i | −0.150484 | − | 0.329515i | 0.819345 | − | 0.573301i | \(-0.194338\pi\) |
−0.969829 | + | 0.243787i | \(0.921610\pi\) | |||||||
\(468\) | 6.47458e6 | − | 6.64617e7i | 0.00291979 | − | 0.0299717i | ||||
\(469\) | −8.24169e8 | − | 5.73222e9i | −0.368902 | − | 2.56577i | ||||
\(470\) | 7.48559e8 | − | 1.63911e9i | 0.332570 | − | 0.728227i | ||||
\(471\) | −1.98779e9 | − | 2.39597e8i | −0.876589 | − | 0.105659i | ||||
\(472\) | −9.99694e8 | + | 2.93537e8i | −0.437593 | + | 0.128489i | ||||
\(473\) | 3.75879e9 | + | 1.71658e9i | 1.63318 | + | 0.745847i | ||||
\(474\) | −1.59546e9 | − | 4.29137e8i | −0.688116 | − | 0.185085i | ||||
\(475\) | 7.84865e7 | − | 6.80090e7i | 0.0336022 | − | 0.0291165i | ||||
\(476\) | −2.51100e8 | + | 1.14674e8i | −0.106714 | + | 0.0487348i | ||||
\(477\) | −2.65104e9 | − | 6.48505e8i | −1.11841 | − | 0.273589i | ||||
\(478\) | −5.21932e8 | + | 3.63011e9i | −0.218583 | + | 1.52028i | ||||
\(479\) | −2.57484e9 | − | 1.65475e9i | −1.07047 | − | 0.687950i | −0.118135 | − | 0.992998i | \(-0.537691\pi\) |
−0.952337 | + | 0.305047i | \(0.901328\pi\) | |||||||
\(480\) | 2.33143e8 | − | 1.12978e8i | 0.0962227 | − | 0.0466285i | ||||
\(481\) | −4.94497e8 | + | 1.68410e9i | −0.202608 | + | 0.690018i | ||||
\(482\) | −3.00354e9 | −1.22171 | ||||||||
\(483\) | 3.52002e9 | + | 2.36372e9i | 1.42144 | + | 0.954511i | ||||
\(484\) | 4.22262e7 | 0.0169287 | ||||||||
\(485\) | 1.66150e8 | − | 5.65856e8i | 0.0661310 | − | 0.225222i | ||||
\(486\) | −9.56927e8 | − | 2.26449e9i | −0.378139 | − | 0.894835i | ||||
\(487\) | −3.46232e9 | − | 2.22510e9i | −1.35836 | − | 0.872966i | −0.360158 | − | 0.932891i | \(-0.617277\pi\) |
−0.998203 | + | 0.0599254i | \(0.980914\pi\) | |||||||
\(488\) | −2.96170e8 | + | 2.05991e9i | −0.115365 | + | 0.802378i | ||||
\(489\) | −3.36656e8 | − | 2.01379e9i | −0.130198 | − | 0.778812i | ||||
\(490\) | 4.22775e9 | − | 1.93075e9i | 1.62339 | − | 0.741377i | ||||
\(491\) | 1.75281e9 | − | 1.51882e9i | 0.668267 | − | 0.579056i | −0.253247 | − | 0.967402i | \(-0.581499\pi\) |
0.921514 | + | 0.388345i | \(0.126953\pi\) | |||||||
\(492\) | −5.48347e7 | + | 2.03866e8i | −0.0207576 | + | 0.0771734i | ||||
\(493\) | 2.01976e8 | + | 9.22391e7i | 0.0759162 | + | 0.0346698i | ||||
\(494\) | −6.22556e8 | + | 1.82799e8i | −0.232346 | + | 0.0682228i | ||||
\(495\) | 2.53216e9 | + | 1.46841e9i | 0.938368 | + | 0.544162i | ||||
\(496\) | 2.63933e8 | − | 5.77932e8i | 0.0971197 | − | 0.212663i | ||||
\(497\) | 1.84346e8 | + | 1.28215e9i | 0.0673575 | + | 0.468482i | ||||
\(498\) | 5.86380e8 | + | 1.84042e9i | 0.212753 | + | 0.667751i | ||||
\(499\) | −1.26879e9 | − | 2.77826e9i | −0.457127 | − | 1.00097i | −0.988133 | − | 0.153600i | \(-0.950913\pi\) |
0.531006 | − | 0.847368i | \(-0.321814\pi\) | |||||||
\(500\) | 1.37875e8 | − | 8.86071e7i | 0.0493278 | − | 0.0317010i | ||||
\(501\) | 3.22746e8 | − | 5.28360e8i | 0.114664 | − | 0.187715i | ||||
\(502\) | −1.44256e9 | + | 2.24466e9i | −0.508944 | + | 0.791932i | ||||
\(503\) | −1.56929e9 | + | 1.81106e9i | −0.549813 | + | 0.634518i | −0.960839 | − | 0.277106i | \(-0.910625\pi\) |
0.411027 | + | 0.911623i | \(0.365170\pi\) | |||||||
\(504\) | 2.30529e9 | + | 4.49271e9i | 0.802081 | + | 1.56315i | ||||
\(505\) | − | 3.58914e9i | − | 1.24014i | ||||||
\(506\) | 3.21732e8 | + | 3.21281e9i | 0.110400 | + | 1.10245i | ||||
\(507\) | 8.26280e8 | − | 1.92446e9i | 0.281579 | − | 0.655815i | ||||
\(508\) | −2.17864e8 | − | 6.39706e7i | −0.0737331 | − | 0.0216500i | ||||
\(509\) | −3.82162e8 | − | 3.31146e8i | −0.128450 | − | 0.111303i | 0.588267 | − | 0.808667i | \(-0.299811\pi\) |
−0.716717 | + | 0.697364i | \(0.754356\pi\) | |||||||
\(510\) | −1.88604e9 | − | 2.79237e9i | −0.629587 | − | 0.932132i | ||||
\(511\) | −2.45980e9 | − | 3.53666e8i | −0.815505 | − | 0.117252i | ||||
\(512\) | 1.75828e9 | + | 2.73594e9i | 0.578954 | + | 0.900870i | ||||
\(513\) | 1.01019e9 | − | 1.00442e9i | 0.330365 | − | 0.328475i | ||||
\(514\) | 1.86616e9 | + | 2.15366e9i | 0.606147 | + | 0.699531i | ||||
\(515\) | 5.01476e9 | − | 7.21013e8i | 1.61780 | − | 0.232604i | ||||
\(516\) | 2.04775e8 | − | 1.85795e8i | 0.0656148 | − | 0.0595334i | ||||
\(517\) | −8.74819e8 | − | 2.97936e9i | −0.278421 | − | 0.948214i | ||||
\(518\) | −1.99241e9 | − | 6.78553e9i | −0.629832 | − | 2.14501i | ||||
\(519\) | 1.58880e9 | − | 1.44154e9i | 0.498864 | − | 0.452627i | ||||
\(520\) | −1.65727e9 | + | 2.38279e8i | −0.516870 | + | 0.0743146i | ||||
\(521\) | 1.16197e8 | + | 1.34099e8i | 0.0359968 | + | 0.0415425i | 0.773462 | − | 0.633842i | \(-0.218523\pi\) |
−0.737466 | + | 0.675385i | \(0.763978\pi\) | |||||||
\(522\) | 8.08177e7 | − | 2.00760e8i | 0.0248691 | − | 0.0617774i | ||||
\(523\) | −2.92910e7 | − | 4.55777e7i | −0.00895321 | − | 0.0139315i | 0.836748 | − | 0.547588i | \(-0.184454\pi\) |
−0.845701 | + | 0.533657i | \(0.820818\pi\) | |||||||
\(524\) | 7.85687e6 | + | 1.12965e6i | 0.00238556 | + | 0.000342992i | ||||
\(525\) | 3.03249e8 | + | 4.48975e8i | 0.0914623 | + | 0.135414i | ||||
\(526\) | −3.56605e9 | − | 3.09000e9i | −1.06841 | − | 0.925781i | ||||
\(527\) | 9.75594e8 | + | 2.86460e8i | 0.290357 | + | 0.0852564i | ||||
\(528\) | −1.43148e9 | + | 3.33400e9i | −0.423219 | + | 0.985705i | ||||
\(529\) | 3.33722e9 | − | 6.75151e8i | 0.980143 | − | 0.198292i | ||||
\(530\) | 3.64610e9i | 1.06381i | ||||||||
\(531\) | −1.36429e9 | + | 7.00042e8i | −0.395436 | + | 0.202905i | ||||
\(532\) | −1.02098e8 | + | 1.17827e8i | −0.0293985 | + | 0.0339277i | ||||
\(533\) | 1.43594e9 | − | 2.23436e9i | 0.410762 | − | 0.639158i | ||||
\(534\) | 7.77908e8 | − | 1.27350e9i | 0.221072 | − | 0.361913i | ||||
\(535\) | −2.01406e9 | + | 1.29436e9i | −0.568635 | + | 0.365440i | ||||
\(536\) | −2.30075e9 | − | 5.03793e9i | −0.645345 | − | 1.41311i | ||||
\(537\) | −8.91807e8 | − | 2.79904e9i | −0.248520 | − | 0.780008i | ||||
\(538\) | 5.27913e7 | + | 3.67172e8i | 0.0146159 | + | 0.101656i | ||||
\(539\) | 3.32708e9 | − | 7.28528e9i | 0.915171 | − | 2.00394i | ||||
\(540\) | 1.57133e8 | − | 1.16927e8i | 0.0429428 | − | 0.0319548i | ||||
\(541\) | 5.50937e9 | − | 1.61770e9i | 1.49593 | − | 0.439245i | 0.571502 | − | 0.820601i | \(-0.306361\pi\) |
0.924428 | + | 0.381356i | \(0.124543\pi\) | |||||||
\(542\) | −4.85437e9 | − | 2.21691e9i | −1.30959 | − | 0.598069i | ||||
\(543\) | −1.35389e9 | + | 5.03355e9i | −0.362899 | + | 1.34919i | ||||
\(544\) | −3.88404e8 | + | 3.36554e8i | −0.103440 | + | 0.0896310i | ||||
\(545\) | −3.13338e9 | + | 1.43096e9i | −0.829134 | + | 0.378653i | ||||
\(546\) | −5.58134e8 | − | 3.33862e9i | −0.146745 | − | 0.877793i | ||||
\(547\) | −4.07312e8 | + | 2.83292e9i | −0.106407 | + | 0.740080i | 0.864847 | + | 0.502036i | \(0.167415\pi\) |
−0.971254 | + | 0.238044i | \(0.923494\pi\) | |||||||
\(548\) | 3.10009e8 | + | 1.99231e8i | 0.0804715 | + | 0.0517159i | ||||
\(549\) | 1.39886e8 | + | 3.05965e9i | 0.0360803 | + | 0.789165i | ||||
\(550\) | −1.16240e8 | + | 3.95876e8i | −0.0297910 | + | 0.101459i | ||||
\(551\) | 1.25406e8 | 0.0319366 | ||||||||
\(552\) | 3.86691e9 | + | 1.22057e9i | 0.978537 | + | 0.308870i | ||||
\(553\) | 4.99457e9 | 1.25591 | ||||||||
\(554\) | 1.04492e8 | − | 3.55867e8i | 0.0261095 | − | 0.0889209i | ||||
\(555\) | −4.63293e9 | + | 2.24507e9i | −1.15035 | + | 0.557448i | ||||
\(556\) | 2.09018e8 | + | 1.34328e8i | 0.0515730 | + | 0.0331440i | ||||
\(557\) | 8.59741e8 | − | 5.97963e9i | 0.210802 | − | 1.46616i | −0.559686 | − | 0.828705i | \(-0.689078\pi\) |
0.770488 | − | 0.637455i | \(-0.220013\pi\) | |||||||
\(558\) | 2.35484e8 | − | 9.62639e8i | 0.0573774 | − | 0.234554i | ||||
\(559\) | −3.16428e9 | + | 1.44508e9i | −0.766186 | + | 0.349905i | ||||
\(560\) | 4.81050e9 | − | 4.16832e9i | 1.15753 | − | 1.00300i | ||||
\(561\) | −5.60730e9 | − | 1.50822e9i | −1.34086 | − | 0.360657i | ||||
\(562\) | 4.40787e9 | + | 2.01301e9i | 1.04749 | + | 0.478375i | ||||
\(563\) | −7.86647e8 | + | 2.30980e8i | −0.185781 | + | 0.0545501i | −0.373299 | − | 0.927711i | \(-0.621774\pi\) |
0.187519 | + | 0.982261i | \(0.439955\pi\) | |||||||
\(564\) | −2.06283e8 | − | 2.48642e7i | −0.0484157 | − | 0.00583576i | ||||
\(565\) | −9.11369e8 | + | 1.99562e9i | −0.212581 | + | 0.465488i | ||||
\(566\) | 9.18592e8 | + | 6.38895e9i | 0.212944 | + | 1.48106i | ||||
\(567\) | 4.57165e9 | + | 5.85930e9i | 1.05325 | + | 1.34991i | ||||
\(568\) | 5.14619e8 | + | 1.12686e9i | 0.117833 | + | 0.258018i | ||||
\(569\) | 2.34107e9 | − | 1.50451e9i | 0.532747 | − | 0.342375i | −0.246450 | − | 0.969156i | \(-0.579264\pi\) |
0.779196 | + | 0.626780i | \(0.215628\pi\) | |||||||
\(570\) | −1.62410e9 | − | 9.92073e8i | −0.367326 | − | 0.224379i | ||||
\(571\) | −2.65733e8 | + | 4.13488e8i | −0.0597336 | + | 0.0929473i | −0.869836 | − | 0.493342i | \(-0.835775\pi\) |
0.810102 | + | 0.586289i | \(0.199412\pi\) | |||||||
\(572\) | −1.00670e8 | + | 1.16180e8i | −0.0224913 | + | 0.0259564i | ||||
\(573\) | −1.36439e9 | + | 1.64925e9i | −0.302968 | + | 0.366223i | ||||
\(574\) | 1.07014e10i | 2.36184i | ||||||||
\(575\) | 4.27584e8 | + | 8.03683e7i | 0.0937958 | + | 0.0176298i | ||||
\(576\) | 3.31587e9 | + | 3.49093e9i | 0.722968 | + | 0.761136i | ||||
\(577\) | 6.14523e9 | + | 1.80440e9i | 1.33175 | + | 0.391037i | 0.868719 | − | 0.495305i | \(-0.164944\pi\) |
0.463031 | + | 0.886342i | \(0.346762\pi\) | |||||||
\(578\) | 1.64338e9 | + | 1.42400e9i | 0.353990 | + | 0.306734i | ||||
\(579\) | −6.15524e9 | + | 4.15741e9i | −1.31786 | + | 0.890119i | ||||
\(580\) | 1.70668e7 | + | 2.45384e6i | 0.00363208 | + | 0.000522214i | ||||
\(581\) | −3.15693e9 | − | 4.91229e9i | −0.667804 | − | 1.03912i | ||||
\(582\) | 1.13995e9 | − | 2.60456e7i | 0.239694 | − | 0.00547650i | ||||
\(583\) | 4.11448e9 | + | 4.74836e9i | 0.859954 | + | 0.992440i | ||||
\(584\) | −2.35245e9 | + | 3.38231e8i | −0.488737 | + | 0.0702698i | ||||
\(585\) | −2.33017e9 | + | 8.01494e8i | −0.481218 | + | 0.165522i | ||||
\(586\) | −2.26808e8 | − | 7.72438e8i | −0.0465605 | − | 0.158570i | ||||
\(587\) | 8.98028e8 | + | 3.05840e9i | 0.183255 | + | 0.624110i | 0.998958 | + | 0.0456388i | \(0.0145323\pi\) |
−0.815703 | + | 0.578471i | \(0.803649\pi\) | |||||||
\(588\) | −3.60108e8 | − | 3.96894e8i | −0.0730487 | − | 0.0805108i | ||||
\(589\) | 5.68420e8 | − | 8.17265e7i | 0.114621 | − | 0.0164801i | ||||
\(590\) | 1.34153e9 | + | 1.54820e9i | 0.268916 | + | 0.310346i | ||||
\(591\) | 1.33858e8 | + | 5.85865e9i | 0.0266740 | + | 1.16746i | ||||
\(592\) | −3.45010e9 | − | 5.36847e9i | −0.683449 | − | 1.06347i | ||||
\(593\) | −2.32520e9 | − | 3.34314e8i | −0.457899 | − | 0.0658359i | −0.0904940 | − | 0.995897i | \(-0.528845\pi\) |
−0.367405 | + | 0.930061i | \(0.619754\pi\) | |||||||
\(594\) | −1.21887e9 | + | 5.52669e9i | −0.238619 | + | 1.08196i | ||||
\(595\) | 7.69850e9 | + | 6.67079e9i | 1.49829 | + | 1.29828i | ||||
\(596\) | −4.62457e8 | − | 1.35790e8i | −0.0894766 | − | 0.0262727i | ||||
\(597\) | −7.63337e9 | − | 3.27744e9i | −1.46827 | − | 0.630412i | ||||
\(598\) | −2.22141e9 | − | 1.56649e9i | −0.424791 | − | 0.299552i | ||||
\(599\) | 8.68760e9i | 1.65160i | 0.563960 | + | 0.825802i | \(0.309277\pi\) | ||||
−0.563960 | + | 0.825802i | \(0.690723\pi\) | |||||||
\(600\) | 3.99238e8 | + | 3.30281e8i | 0.0754574 | + | 0.0624243i | ||||
\(601\) | 2.81418e9 | − | 3.24774e9i | 0.528800 | − | 0.610268i | −0.427012 | − | 0.904246i | \(-0.640434\pi\) |
0.955812 | + | 0.293978i | \(0.0949793\pi\) | |||||||
\(602\) | 7.57764e9 | − | 1.17910e10i | 1.41562 | − | 2.20275i | ||||
\(603\) | −4.71543e9 | − | 6.64877e9i | −0.875812 | − | 1.23490i | ||||
\(604\) | 1.15791e8 | − | 7.44141e7i | 0.0213818 | − | 0.0137412i | ||||
\(605\) | −6.47307e8 | − | 1.41740e9i | −0.118841 | − | 0.260225i | ||||
\(606\) | 6.61200e9 | − | 2.10666e9i | 1.20692 | − | 0.384539i | ||||
\(607\) | −4.19471e8 | − | 2.91749e9i | −0.0761275 | − | 0.529478i | −0.991825 | − | 0.127609i | \(-0.959270\pi\) |
0.915697 | − | 0.401869i | \(-0.131639\pi\) | |||||||
\(608\) | −1.20579e8 | + | 2.64032e8i | −0.0217576 | + | 0.0476425i | ||||
\(609\) | −7.82912e7 | + | 6.49534e8i | −0.0140460 | + | 0.116531i | ||||
\(610\) | 3.92607e9 | − | 1.15280e9i | 0.700332 | − | 0.205636i | ||||
\(611\) | 2.37780e9 | + | 1.08590e9i | 0.421726 | + | 0.192596i | ||||
\(612\) | −2.40763e8 | + | 3.04953e8i | −0.0424580 | + | 0.0537778i | ||||
\(613\) | −2.51208e9 | + | 2.17673e9i | −0.440476 | + | 0.381675i | −0.846675 | − | 0.532110i | \(-0.821399\pi\) |
0.406199 | + | 0.913785i | \(0.366854\pi\) | |||||||
\(614\) | −2.62801e9 | + | 1.20017e9i | −0.458181 | + | 0.209244i | ||||
\(615\) | 7.68376e9 | − | 1.28454e9i | 1.33202 | − | 0.222681i | ||||
\(616\) | 1.65440e9 | − | 1.15066e10i | 0.285172 | − | 1.98341i | ||||
\(617\) | −6.92110e9 | − | 4.44792e9i | −1.18625 | − | 0.762358i | −0.209727 | − | 0.977760i | \(-0.567257\pi\) |
−0.976525 | + | 0.215402i | \(0.930894\pi\) | |||||||
\(618\) | 4.27170e9 | + | 8.81509e9i | 0.728016 | + | 1.50234i | ||||
\(619\) | 9.27470e8 | − | 3.15867e9i | 0.157175 | − | 0.535288i | −0.842821 | − | 0.538194i | \(-0.819107\pi\) |
0.999996 | + | 0.00290588i | \(0.000924972\pi\) | |||||||
\(620\) | 7.89569e7 | 0.0133051 | ||||||||
\(621\) | 5.92691e9 | + | 6.98191e8i | 0.993133 | + | 0.116991i | ||||
\(622\) | 4.21753e8 | 0.0702735 | ||||||||
\(623\) | −1.27097e9 | + | 4.32853e9i | −0.210585 | + | 0.717186i | ||||
\(624\) | −1.33200e9 | − | 2.74872e9i | −0.219461 | − | 0.452881i | ||||
\(625\) | −4.59780e9 | − | 2.95483e9i | −0.753303 | − | 0.484119i | ||||
\(626\) | −1.22893e9 | + | 8.54743e9i | −0.200225 | + | 1.39260i | ||||
\(627\) | −3.23461e9 | + | 5.40746e8i | −0.524065 | + | 0.0876107i | ||||
\(628\) | 2.80550e8 | − | 1.28123e8i | 0.0452014 | − | 0.0206428i | ||||
\(629\) | 7.71822e9 | − | 6.68788e9i | 1.23663 | − | 1.07155i | ||||
\(630\) | 6.15232e9 | − | 7.79259e9i | 0.980272 | − | 1.24162i | ||||
\(631\) | −4.86421e9 | − | 2.22141e9i | −0.770743 | − | 0.351986i | −0.00907900 | − | 0.999959i | \(-0.502890\pi\) |
−0.761664 | + | 0.647972i | \(0.775617\pi\) | |||||||
\(632\) | 4.58311e9 | − | 1.34572e9i | 0.722188 | − | 0.212054i | ||||
\(633\) | −3.08021e8 | + | 2.55546e9i | −0.0482689 | + | 0.400457i | ||||
\(634\) | −3.32460e7 | + | 7.27986e7i | −0.00518116 | + | 0.0113452i | ||||
\(635\) | 1.19245e9 | + | 8.29367e9i | 0.184813 | + | 1.28540i | ||||
\(636\) | 4.00576e8 | − | 1.27628e8i | 0.0617426 | − | 0.0196719i | ||||
\(637\) | 2.80086e9 | + | 6.13302e9i | 0.429341 | + | 0.940126i | ||||
\(638\) | −4.19127e8 | + | 2.69357e8i | −0.0638960 | + | 0.0410634i | ||||
\(639\) | 1.05472e9 | + | 1.48716e9i | 0.159914 | + | 0.225479i | ||||
\(640\) | 3.09417e9 | − | 4.81462e9i | 0.466567 | − | 0.725993i | ||||
\(641\) | −3.08965e9 | + | 3.56565e9i | −0.463347 | + | 0.534731i | −0.938549 | − | 0.345145i | \(-0.887830\pi\) |
0.475202 | + | 0.879877i | \(0.342375\pi\) | |||||||
\(642\) | −3.56665e9 | − | 2.95061e9i | −0.531971 | − | 0.440088i | ||||
\(643\) | 5.37723e9i | 0.797664i | 0.917024 | + | 0.398832i | \(0.130584\pi\) | ||||
−0.917024 | + | 0.398832i | \(0.869416\pi\) | |||||||
\(644\) | −6.52543e8 | − | 2.80714e7i | −0.0962738 | − | 0.00414156i | ||||
\(645\) | −9.37568e9 | − | 4.02551e9i | −1.37576 | − | 0.590693i | ||||
\(646\) | 3.62236e9 | + | 1.06362e9i | 0.528661 | + | 0.155229i | ||||
\(647\) | −3.51825e9 | − | 3.04858e9i | −0.510694 | − | 0.442519i | 0.361002 | − | 0.932565i | \(-0.382435\pi\) |
−0.871697 | + | 0.490046i | \(0.836980\pi\) | |||||||
\(648\) | 5.77374e9 | + | 4.14483e9i | 0.833575 | + | 0.598404i | ||||
\(649\) | 3.49418e9 | + | 5.02387e8i | 0.501751 | + | 0.0721409i | ||||
\(650\) | −1.87782e8 | − | 2.92195e8i | −0.0268199 | − | 0.0417326i | ||||
\(651\) | 6.84322e7 | + | 2.99512e9i | 0.00972136 | + | 0.425482i | ||||
\(652\) | 2.05964e8 | + | 2.37695e8i | 0.0291021 | + | 0.0335856i | ||||
\(653\) | −1.94607e9 | + | 2.79803e8i | −0.273504 | + | 0.0393239i | −0.277702 | − | 0.960667i | \(-0.589573\pi\) |
0.00419826 | + | 0.999991i | \(0.498664\pi\) | |||||||
\(654\) | −4.47530e9 | − | 4.93246e9i | −0.625605 | − | 0.689512i | ||||
\(655\) | −8.25232e7 | − | 2.81048e8i | −0.0114744 | − | 0.0390784i | ||||
\(656\) | 2.72057e9 | + | 9.26543e9i | 0.376268 | + | 1.28145i | ||||
\(657\) | −3.30762e9 | + | 1.13770e9i | −0.455026 | + | 0.156513i | ||||
\(658\) | −1.04251e10 | + | 1.49891e9i | −1.42656 | + | 0.205109i | ||||
\(659\) | −4.09578e9 | − | 4.72678e9i | −0.557491 | − | 0.643379i | 0.405121 | − | 0.914263i | \(-0.367229\pi\) |
−0.962612 | + | 0.270884i | \(0.912684\pi\) | |||||||
\(660\) | −4.50787e8 | + | 1.02995e7i | −0.0610334 | + | 0.00139448i | ||||
\(661\) | 2.02658e9 | + | 3.15341e9i | 0.272934 | + | 0.424694i | 0.950480 | − | 0.310787i | \(-0.100593\pi\) |
−0.677545 | + | 0.735481i | \(0.736956\pi\) | |||||||
\(662\) | −1.09650e10 | − | 1.57654e9i | −1.46895 | − | 0.211203i | ||||
\(663\) | 4.05078e9 | − | 2.73600e9i | 0.539810 | − | 0.364602i | ||||
\(664\) | −4.22041e9 | − | 3.65701e9i | −0.559457 | − | 0.484772i | ||||
\(665\) | 5.52021e9 | + | 1.62088e9i | 0.727913 | + | 0.213735i | ||||
\(666\) | −6.85523e9 | − | 7.21714e9i | −0.899212 | − | 0.946684i | ||||
\(667\) | 3.26659e8 | + | 4.11464e8i | 0.0426240 | + | 0.0536898i | ||||
\(668\) | 9.53739e7i | 0.0123797i | ||||||||
\(669\) | 8.04455e9 | − | 9.72411e9i | 1.03875 | − | 1.25562i | ||||
\(670\) | −7.13116e9 | + | 8.22980e9i | −0.916006 | + | 1.05713i | ||||
\(671\) | 3.81209e9 | − | 5.93172e9i | 0.487118 | − | 0.757970i | ||||
\(672\) | −1.29226e9 | − | 7.89370e8i | −0.164270 | − | 0.100343i | ||||
\(673\) | −7.05726e9 | + | 4.53542e9i | −0.892449 | + | 0.573542i | −0.904542 | − | 0.426385i | \(-0.859787\pi\) |
0.0120932 | + | 0.999927i | \(0.496151\pi\) | |||||||
\(674\) | 4.23782e9 | + | 9.27954e9i | 0.533130 | + | 1.16739i | ||||
\(675\) | 6.68250e8 | + | 3.67384e8i | 0.0836327 | + | 0.0459788i | ||||
\(676\) | 4.59137e7 | + | 3.19337e8i | 0.00571648 | + | 0.0397590i | ||||
\(677\) | −3.23637e9 | + | 7.08667e9i | −0.400865 | + | 0.877772i | 0.596317 | + | 0.802749i | \(0.296630\pi\) |
−0.997182 | + | 0.0750228i | \(0.976097\pi\) | |||||||
\(678\) | −4.21130e9 | − | 5.07607e8i | −0.518935 | − | 0.0625495i | ||||
\(679\) | −3.30740e9 | + | 9.71141e8i | −0.405455 | + | 0.119052i | ||||
\(680\) | 8.86164e9 | + | 4.04698e9i | 1.08077 | + | 0.493571i | ||||
\(681\) | 4.42564e9 | + | 1.19038e9i | 0.536984 | + | 0.144435i | ||||
\(682\) | −1.72421e9 | + | 1.49404e9i | −0.208135 | + | 0.180350i | ||||
\(683\) | 2.36881e9 | − | 1.08180e9i | 0.284484 | − | 0.129920i | −0.268063 | − | 0.963402i | \(-0.586383\pi\) |
0.552547 | + | 0.833482i | \(0.313656\pi\) | |||||||
\(684\) | −5.21432e7 | + | 2.13158e8i | −0.00623019 | + | 0.0254686i | ||||
\(685\) | 1.93528e9 | − | 1.34602e10i | 0.230052 | − | 1.60005i | ||||
\(686\) | −1.10220e10 | − | 7.08344e9i | −1.30355 | − | 0.837741i | ||||
\(687\) | 4.09848e9 | − | 1.98608e9i | 0.482252 | − | 0.233694i | ||||
\(688\) | 3.56323e9 | − | 1.21352e10i | 0.417142 | − | 1.42066i | ||||
\(689\) | −5.28925e9 | −0.616065 | ||||||||
\(690\) | −9.75430e8 | − | 7.91293e9i | −0.113038 | − | 0.916992i | ||||
\(691\) | 3.54246e9 | 0.408443 | 0.204222 | − | 0.978925i | \(-0.434534\pi\) | ||||
0.204222 | + | 0.978925i | \(0.434534\pi\) | |||||||
\(692\) | −9.31040e7 | + | 3.17083e8i | −0.0106806 | + | 0.0363749i | ||||
\(693\) | −7.81397e8 | − | 1.70910e10i | −0.0891877 | − | 1.95075i | ||||
\(694\) | 4.48559e7 | + | 2.88271e7i | 0.00509402 | + | 0.00327373i | ||||
\(695\) | 1.30483e9 | − | 9.07529e9i | 0.147437 | − | 1.02545i | ||||
\(696\) | 1.03167e8 | + | 6.17119e8i | 0.0115987 | + | 0.0693803i | ||||
\(697\) | −1.40574e10 | + | 6.41981e9i | −1.57250 | + | 0.718137i | ||||
\(698\) | 8.19647e9 | − | 7.10228e9i | 0.912289 | − | 0.790503i | ||||
\(699\) | −2.10415e9 | + | 7.82287e9i | −0.233027 | + | 0.866355i | ||||
\(700\) | −7.59174e7 | − | 3.46703e7i | −0.00836562 | − | 0.00382045i | ||||
\(701\) | −9.20577e9 | + | 2.70306e9i | −1.00936 | + | 0.296376i | −0.744293 | − | 0.667854i | \(-0.767213\pi\) |
−0.265070 | + | 0.964229i | \(0.585395\pi\) | |||||||
\(702\) | −2.84423e9 | − | 3.82225e9i | −0.310302 | − | 0.417003i | ||||
\(703\) | 2.39611e9 | − | 5.24675e9i | 0.260114 | − | 0.569570i | ||||
\(704\) | −1.57743e9 | − | 1.09713e10i | −0.170391 | − | 1.18510i | ||||
\(705\) | 2.32760e9 | + | 7.30544e9i | 0.250177 | + | 0.785208i | ||||
\(706\) | −6.33619e9 | − | 1.38743e10i | −0.677660 | − | 1.48387i | ||||
\(707\) | −1.76481e10 | + | 1.13418e10i | −1.87815 | + | 1.20702i | ||||
\(708\) | 1.23133e8 | − | 2.01579e8i | 0.0130395 | − | 0.0213466i | ||||
\(709\) | −4.40662e9 | + | 6.85684e9i | −0.464348 | + | 0.722540i | −0.991905 | − | 0.126980i | \(-0.959472\pi\) |
0.527557 | + | 0.849520i | \(0.323108\pi\) | |||||||
\(710\) | 1.59506e9 | − | 1.84080e9i | 0.167253 | − | 0.193020i | ||||
\(711\) | 6.25460e9 | − | 3.20935e9i | 0.652614 | − | 0.334868i | ||||
\(712\) | 4.31438e9i | 0.447960i | ||||||||
\(713\) | 1.74878e9 | + | 1.65214e9i | 0.180684 | + | 0.170700i | ||||
\(714\) | −7.77040e9 | + | 1.80978e10i | −0.798914 | + | 1.86072i | ||||
\(715\) | 5.44302e9 | + | 1.59822e9i | 0.556889 | + | 0.163517i | ||||
\(716\) | 3.41999e8 | + | 2.96344e8i | 0.0348201 | + | 0.0301717i | ||||
\(717\) | −8.73431e9 | − | 1.29316e10i | −0.884936 | − | 1.31019i | ||||
\(718\) | −5.67879e9 | − | 8.16487e8i | −0.572559 | − | 0.0823216i | ||||
\(719\) | 4.55532e9 | + | 7.08821e9i | 0.457054 | + | 0.711190i | 0.990931 | − | 0.134372i | \(-0.0429018\pi\) |
−0.533877 | + | 0.845562i | \(0.679265\pi\) | |||||||
\(720\) | 3.34567e9 | − | 8.31098e9i | 0.334056 | − | 0.829829i | ||||
\(721\) | −1.93920e10 | − | 2.23796e10i | −1.92686 | − | 2.22371i | ||||
\(722\) | −7.61377e9 | + | 1.09470e9i | −0.752869 | + | 0.108246i | ||||
\(723\) | 9.46481e9 | − | 8.58757e9i | 0.931382 | − | 0.845057i | ||||
\(724\) | −2.26215e8 | − | 7.70419e8i | −0.0221532 | − | 0.0754470i | ||||
\(725\) | 1.89132e7 | + | 6.44123e7i | 0.00184324 | + | 0.00627749i | ||||
\(726\) | 2.23123e9 | − | 2.02443e9i | 0.216405 | − | 0.196347i | ||||
\(727\) | 8.40470e9 | − | 1.20841e9i | 0.811245 | − | 0.116639i | 0.275806 | − | 0.961213i | \(-0.411055\pi\) |
0.535439 | + | 0.844574i | \(0.320146\pi\) | |||||||
\(728\) | 6.40864e9 | + | 7.39596e9i | 0.615610 | + | 0.710452i | ||||
\(729\) | 9.48999e9 | + | 4.39990e9i | 0.907234 | + | 0.420626i | ||||
\(730\) | 2.52637e9 | + | 3.93111e9i | 0.240363 | + | 0.374012i | ||||
\(731\) | 2.00345e10 | + | 2.88053e9i | 1.89700 | + | 0.272748i | ||||
\(732\) | −2.64080e8 | − | 3.90982e8i | −0.0248855 | − | 0.0368441i | ||||
\(733\) | 5.01123e9 | + | 4.34225e9i | 0.469981 | + | 0.407241i | 0.857390 | − | 0.514667i | \(-0.172085\pi\) |
−0.387409 | + | 0.921908i | \(0.626630\pi\) | |||||||
\(734\) | 7.53542e9 | + | 2.21260e9i | 0.703349 | + | 0.206522i | ||||
\(735\) | −7.80225e9 | + | 1.81719e10i | −0.724793 | + | 1.68809i | ||||
\(736\) | −1.18039e9 | + | 2.92125e8i | −0.109132 | + | 0.0270083i | ||||
\(737\) | 1.87650e10i | 1.72668i | ||||||||
\(738\) | 6.87641e9 | + | 1.34012e10i | 0.629745 | + | 1.22729i | ||||
\(739\) | −3.78269e9 | + | 4.36546e9i | −0.344783 | + | 0.397900i | −0.901484 | − | 0.432812i | \(-0.857521\pi\) |
0.556701 | + | 0.830713i | \(0.312067\pi\) | |||||||
\(740\) | 4.28757e8 | − | 6.67159e8i | 0.0388956 | − | 0.0605227i | ||||
\(741\) | 1.43916e9 | − | 2.35602e9i | 0.129941 | − | 0.212723i | ||||
\(742\) | 1.79282e10 | − | 1.15217e10i | 1.61110 | − | 1.03539i | ||||
\(743\) | 3.29767e9 | + | 7.22090e9i | 0.294949 | + | 0.645848i | 0.997857 | − | 0.0654327i | \(-0.0208428\pi\) |
−0.702908 | + | 0.711281i | \(0.748115\pi\) | |||||||
\(744\) | 8.69792e8 | + | 2.72994e9i | 0.0774302 | + | 0.243023i | ||||
\(745\) | 2.53120e9 | + | 1.76049e10i | 0.224274 | + | 1.55986i | ||||
\(746\) | 6.93926e9 | − | 1.51949e10i | 0.611966 | − | 1.34002i | ||||
\(747\) | −7.10985e9 | − | 4.12302e9i | −0.624077 | − | 0.361904i | ||||
\(748\) | 8.58236e8 | − | 2.52001e8i | 0.0749809 | − | 0.0220164i | ||||
\(749\) | 1.27289e10 | + | 5.81311e9i | 1.10689 | + | 0.505501i | ||||
\(750\) | 3.03729e9 | − | 1.12921e10i | 0.262888 | − | 0.977374i | ||||
\(751\) | −1.09063e10 | + | 9.45035e9i | −0.939587 | + | 0.814157i | −0.982755 | − | 0.184911i | \(-0.940800\pi\) |
0.0431685 | + | 0.999068i | \(0.486255\pi\) | |||||||
\(752\) | −8.64513e9 | + | 3.94810e9i | −0.741326 | + | 0.338552i | ||||
\(753\) | −1.87201e9 | − | 1.11979e10i | −0.159781 | − | 0.955771i | ||||
\(754\) | 5.96894e7 | − | 4.15149e8i | 0.00507104 | − | 0.0352699i | ||||
\(755\) | −4.27287e9 | − | 2.74601e9i | −0.361331 | − | 0.232213i | ||||
\(756\) | −1.07148e9 | − | 4.03147e8i | −0.0901902 | − | 0.0339342i | ||||
\(757\) | 1.55884e9 | − | 5.30891e9i | 0.130606 | − | 0.444805i | −0.868058 | − | 0.496462i | \(-0.834632\pi\) |
0.998665 | + | 0.0516573i | \(0.0164504\pi\) | |||||||
\(758\) | −1.04349e10 | −0.870253 | ||||||||
\(759\) | −1.01998e10 | − | 9.20439e9i | −0.846727 | − | 0.764097i | ||||
\(760\) | 5.50217e9 | 0.454660 | ||||||||
\(761\) | −4.09478e9 | + | 1.39455e10i | −0.336809 | + | 1.14707i | 0.600807 | + | 0.799394i | \(0.294846\pi\) |
−0.937616 | + | 0.347673i | \(0.886972\pi\) | |||||||
\(762\) | −1.45789e10 | + | 7.06476e9i | −1.19366 | + | 0.578435i | ||||
\(763\) | 1.69377e10 | + | 1.08852e10i | 1.38044 | + | 0.887158i | ||||
\(764\) | 4.69247e7 | − | 3.26369e8i | 0.00380693 | − | 0.0264778i | ||||
\(765\) | 1.39271e10 | + | 3.40689e9i | 1.12473 | + | 0.275134i | ||||
\(766\) | 1.38039e10 | − | 6.30404e9i | 1.10969 | − | 0.506778i | ||||
\(767\) | −2.24592e9 | + | 1.94610e9i | −0.179726 | + | 0.155733i | ||||
\(768\) | −2.04020e9 | − | 5.48760e8i | −0.162520 | − | 0.0437138i | ||||
\(769\) | 3.09454e9 | + | 1.41323e9i | 0.245388 | + | 0.112065i | 0.534313 | − | 0.845287i | \(-0.320570\pi\) |
−0.288925 | + | 0.957352i | \(0.593298\pi\) | |||||||
\(770\) | −2.19309e10 | + | 6.43948e9i | −1.73116 | + | 0.508316i | ||||
\(771\) | −1.20383e10 | − | 1.45103e9i | −0.945965 | − | 0.114021i | ||||
\(772\) | 4.75315e8 | − | 1.04079e9i | 0.0371810 | − | 0.0814150i | ||||
\(773\) | −2.56940e9 | − | 1.78706e10i | −0.200080 | − | 1.39159i | −0.804041 | − | 0.594574i | \(-0.797321\pi\) |
0.603961 | − | 0.797014i | \(-0.293588\pi\) | |||||||
\(774\) | 1.91279e9 | − | 1.96349e10i | 0.148277 | − | 1.52207i | ||||
\(775\) | 1.27704e8 | + | 2.79632e8i | 0.00985479 | + | 0.0215790i | ||||
\(776\) | −2.77327e9 | + | 1.78227e9i | −0.213048 | + | 0.136917i | ||||
\(777\) | 2.56794e10 | + | 1.56861e10i | 1.96386 | + | 1.19961i | ||||
\(778\) | −1.04794e10 | + | 1.63063e10i | −0.797825 | + | 1.24144i | ||||
\(779\) | −5.71576e9 | + | 6.59634e9i | −0.433205 | + | 0.499945i | ||||
\(780\) | 2.41960e8 | − | 2.92476e8i | 0.0182563 | − | 0.0220678i | ||||
\(781\) | − | 4.19726e9i | − | 0.315274i | ||||||
\(782\) | 5.94575e9 | + | 1.46557e10i | 0.444614 | + | 1.09593i | ||||
\(783\) | 3.19327e8 | + | 8.63707e8i | 0.0237722 | + | 0.0642984i | ||||
\(784\) | −2.35205e10 | − | 6.90625e9i | −1.74317 | − | 0.511842i | ||||
\(785\) | −8.60140e9 | − | 7.45316e9i | −0.634637 | − | 0.549916i | ||||
\(786\) | 4.69316e8 | − | 3.16988e8i | 0.0344736 | − | 0.0232844i | ||||
\(787\) | 7.20557e9 | + | 1.03601e9i | 0.526935 | + | 0.0757618i | 0.400648 | − | 0.916232i | \(-0.368785\pi\) |
0.126287 | + | 0.991994i | \(0.459694\pi\) | |||||||
\(788\) | −4.88049e8 | − | 7.59419e8i | −0.0355322 | − | 0.0552891i | ||||
\(789\) | 2.00722e10 | − | 4.58606e8i | 1.45487 | − | 0.0332407i | ||||
\(790\) | −6.15024e9 | − | 7.09776e9i | −0.443810 | − | 0.512184i | ||||
\(791\) | 1.26926e10 | − | 1.82492e9i | 0.911868 | − | 0.131107i | ||||
\(792\) | −5.32199e9 | − | 1.54725e10i | −0.380659 | − | 1.10668i | ||||
\(793\) | 1.67232e9 | + | 5.69539e9i | 0.119087 | + | 0.405571i | ||||
\(794\) | 2.68761e9 | + | 9.15318e9i | 0.190544 | + | 0.648933i | ||||
\(795\) | −1.04247e10 | − | 1.14896e10i | −0.735835 | − | 0.811002i | ||||
\(796\) | 1.26665e9 | − | 1.82116e8i | 0.0890144 | − | 0.0127983i | ||||
\(797\) | −3.85946e9 | − | 4.45405e9i | −0.270036 | − | 0.311639i | 0.604494 | − | 0.796610i | \(-0.293375\pi\) |
−0.874530 | + | 0.484971i | \(0.838830\pi\) | |||||||
\(798\) | 2.54087e8 | + | 1.11208e10i | 0.0177000 | + | 0.774688i | ||||
\(799\) | −8.22301e9 | − | 1.27952e10i | −0.570318 | − | 0.887432i | ||||
\(800\) | −1.53800e8 | − | 2.21131e7i | −0.0106204 | − | 0.00152698i | ||||
\(801\) | 1.18976e9 | + | 6.23722e9i | 0.0817986 | + | 0.428822i | ||||
\(802\) | −3.65567e9 | − | 3.16766e9i | −0.250240 | − | 0.216834i | ||||
\(803\) | 7.72623e9 | + | 2.26863e9i | 0.526579 | + | 0.154618i | ||||
\(804\) | 1.15378e9 | + | 4.95384e8i | 0.0782938 | + | 0.0336160i | ||||
\(805\) | 9.06089e9 | + | 2.23342e10i | 0.612189 | + | 1.50898i | ||||
\(806\) | − | 1.92062e9i | − | 0.129202i | ||||||
\(807\) | −1.21615e9 | − | 1.00610e9i | −0.0814575 | − | 0.0673881i | ||||
\(808\) | −1.31384e10 | + | 1.51625e10i | −0.876196 | + | 1.01118i | ||||
\(809\) | −5.63445e9 | + | 8.76737e9i | −0.374138 | + | 0.582170i | −0.976358 | − | 0.216160i | \(-0.930647\pi\) |
0.602220 | + | 0.798330i | \(0.294283\pi\) | |||||||
\(810\) | 2.69716e9 | − | 1.37118e10i | 0.178324 | − | 0.906561i | ||||
\(811\) | 2.54615e9 | − | 1.63631e9i | 0.167614 | − | 0.107719i | −0.454144 | − | 0.890928i | \(-0.650055\pi\) |
0.621758 | + | 0.783209i | \(0.286419\pi\) | |||||||
\(812\) | −4.18658e7 | − | 9.16733e7i | −0.00274418 | − | 0.00600893i | ||||
\(813\) | 2.16356e10 | − | 6.89337e9i | 1.41206 | − | 0.449899i | ||||
\(814\) | 3.26118e9 | + | 2.26820e10i | 0.211929 | + | 1.47400i | ||||
\(815\) | 4.82138e9 | − | 1.05573e10i | 0.311975 | − | 0.683129i | ||||
\(816\) | −2.12679e9 | + | 1.76447e10i | −0.137028 | + | 1.13684i | ||||
\(817\) | 1.09686e10 | − | 3.22066e9i | 0.703676 | − | 0.206618i | ||||
\(818\) | 2.05589e10 | + | 9.38893e9i | 1.31330 | + | 0.599763i | ||||
\(819\) | 1.13044e10 | + | 8.92491e9i | 0.719041 | + | 0.567689i | ||||
\(820\) | −9.06944e8 | + | 7.85872e8i | −0.0574423 | + | 0.0497741i | ||||
\(821\) | −4.64911e9 | + | 2.12318e9i | −0.293203 | + | 0.133901i | −0.556586 | − | 0.830790i | \(-0.687889\pi\) |
0.263383 | + | 0.964691i | \(0.415162\pi\) | |||||||
\(822\) | 2.59325e10 | − | 4.33528e9i | 1.62852 | − | 0.272249i | ||||
\(823\) | −2.61877e9 | + | 1.82139e10i | −0.163756 | + | 1.13895i | 0.727718 | + | 0.685877i | \(0.240581\pi\) |
−0.891474 | + | 0.453072i | \(0.850328\pi\) | |||||||
\(824\) | −2.38244e10 | − | 1.53110e10i | −1.48346 | − | 0.953363i | ||||
\(825\) | −7.65572e8 | − | 1.57984e9i | −0.0474676 | − | 0.0979543i | ||||
\(826\) | 3.37340e9 | − | 1.14888e10i | 0.208276 | − | 0.709321i | ||||
\(827\) | 1.04310e10 | 0.641294 | 0.320647 | − | 0.947199i | \(-0.396100\pi\) | ||||
0.320647 | + | 0.947199i | \(0.396100\pi\) | |||||||
\(828\) | −8.35205e8 | + | 3.84150e8i | −0.0511313 | + | 0.0235177i | ||||
\(829\) | −1.11462e10 | −0.679495 | −0.339748 | − | 0.940517i | \(-0.610342\pi\) | ||||
−0.339748 | + | 0.940517i | \(0.610342\pi\) | |||||||
\(830\) | −3.09342e9 | + | 1.05352e10i | −0.187787 | + | 0.639544i | ||||
\(831\) | 6.88200e8 | + | 1.42017e9i | 0.0416017 | + | 0.0858495i | ||||
\(832\) | 7.84975e9 | + | 5.04473e9i | 0.472524 | + | 0.303673i | ||||
\(833\) | 5.58305e9 | − | 3.88310e10i | 0.334668 | − | 2.32767i | ||||
\(834\) | 1.74846e10 | − | 2.92299e9i | 1.04370 | − | 0.174480i | ||||
\(835\) | 3.20141e9 | − | 1.46204e9i | 0.190300 | − | 0.0869071i | ||||
\(836\) | 3.81793e8 | − | 3.30826e8i | 0.0225999 | − | 0.0195829i | ||||
\(837\) | 2.01027e9 | + | 3.70677e9i | 0.118499 | + | 0.218502i | ||||
\(838\) | 8.24552e9 | + | 3.76560e9i | 0.484021 | + | 0.221045i | ||||
\(839\) | 1.90636e9 | − | 5.59756e8i | 0.111439 | − | 0.0327214i | −0.225538 | − | 0.974234i | \(-0.572414\pi\) |
0.336977 | + | 0.941513i | \(0.390596\pi\) | |||||||
\(840\) | −3.43501e9 | + | 2.84982e10i | −0.199964 | + | 1.65897i | ||||
\(841\) | 7.13218e9 | − | 1.56173e10i | 0.413463 | − | 0.905357i | ||||
\(842\) | −1.43197e8 | − | 9.95956e8i | −0.00826687 | − | 0.0574973i | ||||
\(843\) | −1.96456e10 | + | 6.25933e9i | −1.12946 | + | 0.359858i | ||||
\(844\) | −1.64713e8 | − | 3.60670e8i | −0.00943036 | − | 0.0206496i | ||||
\(845\) | 1.00153e10 | − | 6.43646e9i | 0.571040 | − | 0.366985i | ||||
\(846\) | −1.20921e10 | + | 8.57591e9i | −0.686600 | + | 0.486950i | ||||
\(847\) | −4.92400e9 | + | 7.66189e9i | −0.278436 | + | 0.433255i | ||||
\(848\) | 1.25933e10 | − | 1.45334e10i | 0.709176 | − | 0.818433i | ||||
\(849\) | −2.11616e10 | − | 1.75066e10i | −1.18679 | − | 0.981803i | ||||
\(850\) | 2.02096e9i | 0.112873i | ||||||||
\(851\) | 2.34563e10 | − | 5.80501e9i | 1.30469 | − | 0.322886i | ||||
\(852\) | −2.58072e8 | − | 1.10805e8i | −0.0142956 | − | 0.00613791i | ||||
\(853\) | −4.09755e9 | − | 1.20315e9i | −0.226049 | − | 0.0663739i | 0.166747 | − | 0.986000i | \(-0.446674\pi\) |
−0.392795 | + | 0.919626i | \(0.628492\pi\) | |||||||
\(854\) | −1.80749e10 | − | 1.56620e10i | −0.993054 | − | 0.860486i | ||||
\(855\) | 7.95438e9 | − | 1.51731e9i | 0.435236 | − | 0.0830221i | ||||
\(856\) | 1.32466e10 | + | 1.90457e9i | 0.721847 | + | 0.103786i | ||||
\(857\) | 1.33261e10 | + | 2.07357e10i | 0.723217 | + | 1.12535i | 0.986993 | + | 0.160764i | \(0.0513958\pi\) |
−0.263776 | + | 0.964584i | \(0.584968\pi\) | |||||||
\(858\) | 2.50535e8 | + | 1.09653e10i | 0.0135414 | + | 0.592674i | ||||
\(859\) | −1.16818e10 | − | 1.34815e10i | −0.628832 | − | 0.725711i | 0.348527 | − | 0.937299i | \(-0.386682\pi\) |
−0.977359 | + | 0.211588i | \(0.932137\pi\) | |||||||
\(860\) | 1.55576e9 | − | 2.23684e8i | 0.0834061 | − | 0.0119920i | ||||
\(861\) | −3.05970e10 | − | 3.37226e10i | −1.63368 | − | 1.80057i | ||||
\(862\) | −2.31388e9 | − | 7.88037e9i | −0.123046 | − | 0.419055i | ||||
\(863\) | −5.98364e9 | − | 2.03784e10i | −0.316904 | − | 1.07928i | −0.951811 | − | 0.306687i | \(-0.900780\pi\) |
0.634907 | − | 0.772589i | \(-0.281039\pi\) | |||||||
\(864\) | −2.12550e9 | − | 1.58147e8i | −0.112115 | − | 0.00834187i | ||||
\(865\) | 1.20708e10 | − | 1.73551e9i | 0.634130 | − | 0.0911741i | ||||
\(866\) | 1.57841e9 | + | 1.82158e9i | 0.0825861 | + | 0.0953094i | ||||
\(867\) | −9.25007e9 | + | 2.11344e8i | −0.482034 | + | 0.0110135i | ||||
\(868\) | −2.49505e8 | − | 3.88238e8i | −0.0129497 | − | 0.0201502i | ||||
\(869\) | −1.60191e10 | − | 2.30320e9i | −0.828072 | − | 0.119059i | ||||
\(870\) | 1.01946e9 | − | 6.88568e8i | 0.0524869 | − | 0.0354511i | ||||
\(871\) | −1.19386e10 | − | 1.03449e10i | −0.612197 | − | 0.530472i | ||||
\(872\) | 1.84752e10 | + | 5.42482e9i | 0.943588 | + | 0.277062i | ||||
\(873\) | −3.51778e9 | + | 3.34137e9i | −0.178944 | + | 0.169971i | ||||
\(874\) | 6.49317e9 | + | 6.13435e9i | 0.328978 | + | 0.310798i | ||||
\(875\) | 3.53498e10i | 1.78385i | ||||||||
\(876\) | 3.43456e8 | − | 4.15163e8i | 0.0172626 | − | 0.0208667i | ||||
\(877\) | 1.89702e10 | − | 2.18927e10i | 0.949669 | − | 1.09598i | −0.0456132 | − | 0.998959i | \(-0.514524\pi\) |
0.995283 | − | 0.0970178i | \(-0.0309304\pi\) | |||||||
\(878\) | 2.73900e9 | − | 4.26197e9i | 0.136572 | − | 0.212510i | ||||
\(879\) | 2.92324e9 | + | 1.78564e9i | 0.145179 | + | 0.0886815i | ||||
\(880\) | −1.73509e10 | + | 1.11507e10i | −0.858287 | + | 0.551588i | ||||
\(881\) | 5.16299e9 | + | 1.13054e10i | 0.254381 | + | 0.557017i | 0.993137 | − | 0.116956i | \(-0.0373136\pi\) |
−0.738756 | + | 0.673973i | \(0.764586\pi\) | |||||||
\(882\) | −3.80563e10 | − | 3.70738e9i | −1.86761 | − | 0.181940i | ||||
\(883\) | −2.67012e8 | − | 1.85711e9i | −0.0130517 | − | 0.0907767i | 0.982254 | − | 0.187553i | \(-0.0600558\pi\) |
−0.995306 | + | 0.0967768i | \(0.969147\pi\) | |||||||
\(884\) | −3.12806e8 | + | 6.84949e8i | −0.0152297 | + | 0.0333484i | ||||
\(885\) | −8.65398e9 | − | 1.04310e9i | −0.419676 | − | 0.0505855i | ||||
\(886\) | −2.05127e10 | + | 6.02307e9i | −0.990842 | + | 0.290937i | ||||
\(887\) | 1.02510e9 | + | 4.68149e8i | 0.0493214 | + | 0.0225243i | 0.439923 | − | 0.898035i | \(-0.355006\pi\) |
−0.390602 | + | 0.920560i | \(0.627733\pi\) | |||||||
\(888\) | 2.77903e10 | + | 7.47487e9i | 1.33183 | + | 0.358227i | ||||
\(889\) | 3.70125e10 | − | 3.20715e10i | 1.76682 | − | 1.53096i | ||||
\(890\) | 7.71631e9 | − | 3.52392e9i | 0.366897 | − | 0.167556i | ||||
\(891\) | −1.19607e10 | − | 2.09007e10i | −0.566480 | − | 0.989895i | ||||
\(892\) | −2.76672e8 | + | 1.92429e9i | −0.0130523 | + | 0.0907809i | ||||
\(893\) | −7.22661e9 | − | 4.64426e9i | −0.339589 | − | 0.218241i | ||||
\(894\) | −3.09464e10 | + | 1.49963e10i | −1.44853 | + | 0.701943i | ||||
\(895\) | 4.70468e9 | − | 1.60227e10i | 0.219356 | − | 0.747059i | ||||
\(896\) | −3.34516e10 | −1.55360 | ||||||||
\(897\) | 1.14790e10 | − | 1.41502e9i | 0.531043 | − | 0.0654618i | ||||
\(898\) | 2.70119e10 | 1.24476 | ||||||||
\(899\) | −1.04583e8 | + | 3.56176e8i | −0.00480066 | + | 0.0163495i | ||||
\(900\) | −1.17348e8 | + | 5.36511e6i | −0.00536571 | + | 0.000245318i | ||||
\(901\) | 2.58901e10 | + | 1.66386e10i | 1.17923 | + | 0.757842i | ||||
\(902\) | 4.93487e9 | − | 3.43228e10i | 0.223899 | − | 1.55725i | ||||
\(903\) | 9.83354e9 | + | 5.88217e10i | 0.444429 | + | 2.65846i | ||||
\(904\) | 1.11552e10 | − | 5.09443e9i | 0.502215 | − | 0.229354i | ||||
\(905\) | −2.23929e10 | + | 1.94035e10i | −1.00424 | + | 0.870183i | ||||
\(906\) | 2.55077e9 | − | 9.48335e9i | 0.113952 | − | 0.423656i | ||||
\(907\) | −3.34046e10 | − | 1.52554e10i | −1.48655 | − | 0.678887i | −0.503803 | − | 0.863819i | \(-0.668066\pi\) |
−0.982751 | + | 0.184932i | \(0.940794\pi\) | |||||||
\(908\) | −6.77374e8 | + | 1.98895e8i | −0.0300281 | + | 0.00881705i | ||||
\(909\) | −1.48126e10 | + | 2.55432e10i | −0.654119 | + | 1.12798i | ||||
\(910\) | 7.99326e9 | − | 1.75028e10i | 0.351624 | − | 0.769950i | ||||
\(911\) | −3.42102e9 | − | 2.37937e10i | −0.149914 | − | 1.04267i | −0.916357 | − | 0.400362i | \(-0.868884\pi\) |
0.766443 | − | 0.642312i | \(-0.222025\pi\) | |||||||
\(912\) | 3.04718e9 | + | 9.56394e9i | 0.133020 | + | 0.417498i | ||||
\(913\) | 7.85999e9 | + | 1.72110e10i | 0.341802 | + | 0.748441i | ||||
\(914\) | 9.58839e9 | − | 6.16208e9i | 0.415369 | − | 0.266941i | ||||
\(915\) | −9.07588e9 | + | 1.48579e10i | −0.391665 | + | 0.641187i | ||||
\(916\) | −3.79296e8 | + | 5.90196e8i | −0.0163059 | + | 0.0253724i | ||||
\(917\) | −1.12116e9 | + | 1.29389e9i | −0.0480149 | + | 0.0554122i | ||||
\(918\) | 1.89832e9 | + | 2.76565e10i | 0.0809880 | + | 1.17991i | ||||
\(919\) | 3.70286e10i | 1.57374i | 0.617119 | + | 0.786870i | \(0.288300\pi\) | ||||
−0.617119 | + | 0.786870i | \(0.711700\pi\) | |||||||
\(920\) | 1.43321e10 | + | 1.80529e10i | 0.606810 | + | 0.764347i | ||||
\(921\) | 4.84995e9 | − | 1.12958e10i | 0.204564 | − | 0.476442i | ||||
\(922\) | −6.42999e9 | − | 1.88801e9i | −0.270179 | − | 0.0793318i | ||||
\(923\) | 2.67037e9 | + | 2.31389e9i | 0.111780 | + | 0.0968583i | ||||
\(924\) | 1.47514e9 | + | 2.18401e9i | 0.0615150 | + | 0.0910758i | ||||
\(925\) | 3.05626e9 | + | 4.39424e8i | 0.126968 | + | 0.0182552i | ||||
\(926\) | −1.33225e10 | − | 2.07303e10i | −0.551377 | − | 0.857959i | ||||
\(927\) | −3.86647e10 | − | 1.55649e10i | −1.59417 | − | 0.641750i | ||||
\(928\) | −1.22871e8 | − | 1.41801e8i | −0.00504698 | − | 0.00582453i | ||||
\(929\) | 1.96951e10 | − | 2.83172e9i | 0.805939 | − | 0.115877i | 0.272982 | − | 0.962019i | \(-0.411990\pi\) |
0.532957 | + | 0.846143i | \(0.321081\pi\) | |||||||
\(930\) | 4.17209e9 | − | 3.78540e9i | 0.170084 | − | 0.154320i | ||||
\(931\) | −6.24229e9 | − | 2.12593e10i | −0.253525 | − | 0.863425i | ||||
\(932\) | −3.51572e8 | − | 1.19734e9i | −0.0142252 | − | 0.0484466i | ||||
\(933\) | −1.32903e9 | + | 1.20585e9i | −0.0535735 | + | 0.0486081i | ||||
\(934\) | 8.67364e9 | − | 1.24708e9i | 0.348327 | − | 0.0500819i | ||||
\(935\) | −2.16152e10 | − | 2.49453e10i | −0.864807 | − | 0.998041i | ||||
\(936\) | 1.27778e10 | + | 5.14384e9i | 0.509321 | + | 0.205032i | ||||
\(937\) | 3.12916e9 | + | 4.86907e9i | 0.124262 | + | 0.193356i | 0.897811 | − | 0.440381i | \(-0.145157\pi\) |
−0.773549 | + | 0.633737i | \(0.781520\pi\) | |||||||
\(938\) | 6.30013e10 | + | 9.05821e9i | 2.49252 | + | 0.358371i | ||||
\(939\) | −2.05657e10 | − | 3.04485e10i | −0.810614 | − | 1.20015i | ||||
\(940\) | −8.92612e8 | − | 7.73453e8i | −0.0350522 | − | 0.0303729i | ||||
\(941\) | −3.81236e10 | − | 1.11941e10i | −1.49152 | − | 0.437951i | −0.568496 | − | 0.822686i | \(-0.692475\pi\) |
−0.923027 | + | 0.384735i | \(0.874293\pi\) | |||||||
\(942\) | 8.68174e9 | − | 2.02203e10i | 0.338399 | − | 0.788153i | ||||
\(943\) | −3.65314e10 | − | 1.57153e9i | −1.41865 | − | 0.0610283i | ||||
\(944\) | − | 1.08047e10i | − | 0.418033i | ||||||
\(945\) | 2.89290e9 | + | 4.21465e10i | 0.111512 | + | 1.62462i | ||||
\(946\) | −2.97411e10 | + | 3.43231e10i | −1.14219 | + | 1.31816i | ||||
\(947\) | 2.09643e9 | − | 3.26211e9i | 0.0802151 | − | 0.124817i | −0.798828 | − | 0.601560i | \(-0.794546\pi\) |
0.879043 | + | 0.476742i | \(0.158183\pi\) | |||||||
\(948\) | −5.64507e8 | + | 9.24142e8i | −0.0215199 | + | 0.0352298i | ||||
\(949\) | −5.70270e9 | + | 3.66490e9i | −0.216595 | + | 0.139197i | ||||
\(950\) | 4.74161e8 | + | 1.03827e9i | 0.0179429 | + | 0.0392895i | ||||
\(951\) | −1.03377e8 | − | 3.24460e8i | −0.00389754 | − | 0.0122329i | ||||
\(952\) | −8.10363e9 | − | 5.63620e10i | −0.304404 | − | 2.11718i | ||||
\(953\) | −1.74560e10 | + | 3.82234e10i | −0.653311 | + | 1.43055i | 0.235314 | + | 0.971919i | \(0.424388\pi\) |
−0.888626 | + | 0.458633i | \(0.848339\pi\) | |||||||
\(954\) | 1.50476e10 | − | 2.59486e10i | 0.561111 | − | 0.967596i | ||||
\(955\) | −1.16745e10 | + | 3.42795e9i | −0.433738 | + | 0.127357i | ||||
\(956\) | 2.18661e9 | + | 9.98589e8i | 0.0809409 | + | 0.0369645i | ||||
\(957\) | 5.50630e8 | − | 2.04715e9i | 0.0203080 | − | 0.0755018i | ||||
\(958\) | 2.54230e10 | − | 2.20292e10i | 0.934217 | − | 0.809503i | ||||
\(959\) | −7.23003e10 | + | 3.30185e10i | −2.64713 | + | 1.20890i | ||||
\(960\) | 4.51282e9 | + | 2.69945e10i | 0.164626 | + | 0.984751i | ||||
\(961\) | 3.67354e9 | − | 2.55500e10i | 0.133522 | − | 0.928665i | ||||
\(962\) | −1.62286e10 | − | 1.04295e10i | −0.587716 | − | 0.377702i | ||||
\(963\) | 1.96755e10 | − | 8.99558e8i | 0.709961 | − | 0.0324592i | ||||
\(964\) | −5.54641e8 | + | 1.88893e9i | −0.0199408 | + | 0.0679121i | ||||
\(965\) | −4.22226e10 | −1.51252 | ||||||||
\(966\) | −3.58262e10 | + | 2.98013e10i | −1.27874 | + | 1.06369i | ||||
\(967\) | 2.33038e10 | 0.828771 | 0.414385 | − | 0.910101i | \(-0.363997\pi\) | ||||
0.414385 | + | 0.910101i | \(0.363997\pi\) | |||||||
\(968\) | −2.45395e9 | + | 8.35740e9i | −0.0869566 | + | 0.296147i | ||||
\(969\) | −1.44559e10 | + | 7.00516e9i | −0.510401 | + | 0.247335i | ||||
\(970\) | 5.45277e9 | + | 3.50429e9i | 0.191830 | + | 0.123282i | ||||
\(971\) | −5.34705e9 | + | 3.71896e10i | −0.187434 | + | 1.30363i | 0.651189 | + | 0.758916i | \(0.274271\pi\) |
−0.838622 | + | 0.544713i | \(0.816639\pi\) | |||||||
\(972\) | −1.60085e9 | + | 1.83648e8i | −0.0559138 | + | 0.00641436i | ||||
\(973\) | −4.87473e10 | + | 2.22621e10i | −1.69651 | + | 0.774769i | ||||
\(974\) | 3.41857e10 | − | 2.96221e10i | 1.18546 | − | 1.02721i | ||||
\(975\) | 1.42717e9 | + | 3.83872e8i | 0.0493128 | + | 0.0132639i | ||||
\(976\) | −1.96311e10 | − | 8.96522e9i | −0.675880 | − | 0.308664i | ||||
\(977\) | −3.88580e10 | + | 1.14098e10i | −1.33306 | + | 0.391422i | −0.869189 | − | 0.494480i | \(-0.835358\pi\) |
−0.463872 | + | 0.885902i | \(0.653540\pi\) | |||||||
\(978\) | 2.22789e10 | + | 2.68537e9i | 0.761566 | + | 0.0917949i | ||||
\(979\) | 6.07244e9 | − | 1.32968e10i | 0.206835 | − | 0.452906i | ||||
\(980\) | −4.33545e8 | − | 3.01537e9i | −0.0147144 | − | 0.102341i | ||||
\(981\) | 2.82053e10 | + | 2.74771e9i | 0.953869 | + | 0.0929243i | ||||
\(982\) | 1.05893e10 | + | 2.31872e10i | 0.356842 | + | 0.781374i | ||||
\(983\) | 3.21829e10 | − | 2.06827e10i | 1.08066 | − | 0.694496i | 0.125948 | − | 0.992037i | \(-0.459803\pi\) |
0.954709 | + | 0.297541i | \(0.0961665\pi\) | |||||||
\(984\) | −3.71625e10 | − | 2.27005e10i | −1.24343 | − | 0.759543i | ||||
\(985\) | −1.80098e10 | + | 2.80238e10i | −0.600458 | + | 0.934331i | ||||
\(986\) | −1.59812e9 | + | 1.84432e9i | −0.0530932 | + | 0.0612729i | ||||
\(987\) | 2.85662e10 | − | 3.45304e10i | 0.945678 | − | 1.14312i | ||||
\(988\) | 4.25283e8i | 0.0140291i | ||||||||
\(989\) | 3.91382e10 | + | 2.75993e10i | 1.28651 | + | 0.907216i | ||||
\(990\) | −2.33258e10 | + | 2.21561e10i | −0.764036 | + | 0.725723i | ||||
\(991\) | 4.32771e10 | + | 1.27073e10i | 1.41254 | + | 0.414758i | 0.896970 | − | 0.442091i | \(-0.145763\pi\) |
0.515567 | + | 0.856849i | \(0.327581\pi\) | |||||||
\(992\) | −6.49341e8 | − | 5.62657e8i | −0.0211194 | − | 0.0183001i | ||||
\(993\) | 3.90608e10 | − | 2.63827e10i | 1.26596 | − | 0.855060i | ||||
\(994\) | −1.40918e10 | − | 2.02610e9i | −0.455108 | − | 0.0654346i | ||||
\(995\) | −2.55302e10 | − | 3.97258e10i | −0.821625 | − | 1.27847i | ||||
\(996\) | 1.26573e9 | − | 2.89192e7i | 0.0405913 | − | 0.000927425i | ||||
\(997\) | −2.76304e10 | − | 3.18872e10i | −0.882986 | − | 1.01902i | −0.999666 | − | 0.0258505i | \(-0.991771\pi\) |
0.116680 | − | 0.993170i | \(-0.462775\pi\) | |||||||
\(998\) | 3.32269e10 | − | 4.77731e9i | 1.05812 | − | 0.152134i | ||||
\(999\) | 4.22372e10 | + | 3.14265e9i | 1.34034 | + | 0.0997279i |
(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 | 69.8.g.a.5.16 | ✓ | 540 | |
3.2 | odd | 2 | inner | 69.8.g.a.5.39 | yes | 540 | |
23.14 | odd | 22 | inner | 69.8.g.a.14.39 | yes | 540 | |
69.14 | even | 22 | inner | 69.8.g.a.14.16 | yes | 540 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
69.8.g.a.5.16 | ✓ | 540 | 1.1 | even | 1 | trivial | |
69.8.g.a.5.39 | yes | 540 | 3.2 | odd | 2 | inner | |
69.8.g.a.14.16 | yes | 540 | 69.14 | even | 22 | inner | |
69.8.g.a.14.39 | yes | 540 | 23.14 | odd | 22 | inner |