Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [25,8,Mod(4,25)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(25, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([1]))
N = Newforms(chi, 8, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("25.4");
S:= CuspForms(chi, 8);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 25 = 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 8 \) |
Character orbit: | \([\chi]\) | \(=\) | 25.e (of order \(10\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(7.80962563710\) |
Analytic rank: | \(0\) |
Dimension: | \(64\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 4.2 | ||
Character | \(\chi\) | \(=\) | 25.4 |
Dual form | 25.8.e.a.19.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/25\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{1}{10}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −17.4863 | − | 5.68165i | −1.54559 | − | 0.502192i | −0.592676 | − | 0.805441i | \(-0.701928\pi\) |
−0.952911 | + | 0.303250i | \(0.901928\pi\) | |||||||
\(3\) | −14.4903 | + | 19.9442i | −0.309851 | + | 0.426474i | −0.935335 | − | 0.353764i | \(-0.884902\pi\) |
0.625484 | + | 0.780237i | \(0.284902\pi\) | |||||||
\(4\) | 169.936 | + | 123.466i | 1.32763 | + | 0.964576i | ||||
\(5\) | 110.554 | − | 256.716i | 0.395529 | − | 0.918453i | ||||
\(6\) | 366.698 | − | 266.422i | 0.693074 | − | 0.503547i | ||||
\(7\) | − | 1022.55i | − | 1.12678i | −0.826190 | − | 0.563392i | \(-0.809496\pi\) | ||
0.826190 | − | 0.563392i | \(-0.190504\pi\) | |||||||
\(8\) | −886.753 | − | 1220.51i | −0.612333 | − | 0.842804i | ||||
\(9\) | 488.018 | + | 1501.97i | 0.223145 | + | 0.686770i | ||||
\(10\) | −3391.75 | + | 3860.88i | −1.07256 | + | 1.22092i | ||||
\(11\) | −98.7198 | + | 303.828i | −0.0223630 | + | 0.0688262i | −0.961615 | − | 0.274402i | \(-0.911520\pi\) |
0.939252 | + | 0.343228i | \(0.111520\pi\) | |||||||
\(12\) | −4924.85 | + | 1600.18i | −0.822733 | + | 0.267322i | ||||
\(13\) | −7560.04 | + | 2456.41i | −0.954382 | + | 0.310098i | −0.744495 | − | 0.667628i | \(-0.767310\pi\) |
−0.209887 | + | 0.977726i | \(0.567310\pi\) | |||||||
\(14\) | −5809.76 | + | 17880.6i | −0.565862 | + | 1.74154i | ||||
\(15\) | 3518.03 | + | 5924.79i | 0.269141 | + | 0.453267i | ||||
\(16\) | 263.079 | + | 809.674i | 0.0160571 | + | 0.0494186i | ||||
\(17\) | −9287.44 | − | 12783.1i | −0.458485 | − | 0.631050i | 0.515709 | − | 0.856764i | \(-0.327529\pi\) |
−0.974194 | + | 0.225714i | \(0.927529\pi\) | |||||||
\(18\) | − | 29036.6i | − | 1.17352i | ||||||
\(19\) | −38825.3 | + | 28208.2i | −1.29861 | + | 0.943493i | −0.999941 | − | 0.0108654i | \(-0.996541\pi\) |
−0.298665 | + | 0.954358i | \(0.596541\pi\) | |||||||
\(20\) | 50482.7 | − | 29975.6i | 1.41103 | − | 0.837844i | ||||
\(21\) | 20393.9 | + | 14817.0i | 0.480544 | + | 0.349135i | ||||
\(22\) | 3452.49 | − | 4751.95i | 0.0691279 | − | 0.0951464i | ||||
\(23\) | 9156.62 | + | 2975.17i | 0.156923 | + | 0.0509875i | 0.386425 | − | 0.922321i | \(-0.373710\pi\) |
−0.229502 | + | 0.973308i | \(0.573710\pi\) | |||||||
\(24\) | 37191.4 | 0.549166 | ||||||||
\(25\) | −53680.7 | − | 56761.7i | −0.687114 | − | 0.726550i | ||||
\(26\) | 146154. | 1.63081 | ||||||||
\(27\) | −88303.0 | − | 28691.4i | −0.863381 | − | 0.280529i | ||||
\(28\) | 126250. | − | 173768.i | 1.08687 | − | 1.49595i | ||||
\(29\) | 106851. | + | 77631.9i | 0.813554 | + | 0.591082i | 0.914859 | − | 0.403774i | \(-0.132302\pi\) |
−0.101305 | + | 0.994855i | \(0.532302\pi\) | |||||||
\(30\) | −27854.8 | − | 123591.i | −0.188354 | − | 0.835723i | ||||
\(31\) | −104477. | + | 75906.9i | −0.629875 | + | 0.457631i | −0.856357 | − | 0.516385i | \(-0.827278\pi\) |
0.226482 | + | 0.974015i | \(0.427278\pi\) | |||||||
\(32\) | 177452.i | 0.957319i | ||||||||
\(33\) | −4629.13 | − | 6371.45i | −0.0224234 | − | 0.0308631i | ||||
\(34\) | 89774.3 | + | 276297.i | 0.391720 | + | 1.20559i | ||||
\(35\) | −262504. | − | 113047.i | −1.03490 | − | 0.445676i | ||||
\(36\) | −102509. | + | 315492.i | −0.366189 | + | 1.12701i | ||||
\(37\) | −533404. | + | 173313.i | −1.73121 | + | 0.562505i | −0.993624 | − | 0.112747i | \(-0.964035\pi\) |
−0.737588 | + | 0.675251i | \(0.764035\pi\) | |||||||
\(38\) | 839181. | − | 272667.i | 2.48092 | − | 0.806101i | ||||
\(39\) | 60556.3 | − | 186373.i | 0.163468 | − | 0.503103i | ||||
\(40\) | −411358. | + | 92711.3i | −1.01627 | + | 0.229046i | ||||
\(41\) | 20960.8 | + | 64510.7i | 0.0474968 | + | 0.146180i | 0.971992 | − | 0.235013i | \(-0.0755133\pi\) |
−0.924495 | + | 0.381193i | \(0.875513\pi\) | |||||||
\(42\) | −272429. | − | 374967.i | −0.567389 | − | 0.780944i | ||||
\(43\) | − | 440061.i | − | 0.844059i | −0.906582 | − | 0.422030i | \(-0.861318\pi\) | ||
0.906582 | − | 0.422030i | \(-0.138682\pi\) | |||||||
\(44\) | −54288.5 | + | 39442.9i | −0.0960778 | + | 0.0698046i | ||||
\(45\) | 439530. | + | 40766.0i | 0.719026 | + | 0.0666891i | ||||
\(46\) | −143212. | − | 104049.i | −0.216933 | − | 0.157611i | ||||
\(47\) | 257611. | − | 354571.i | 0.361927 | − | 0.498150i | −0.588757 | − | 0.808310i | \(-0.700383\pi\) |
0.950684 | + | 0.310160i | \(0.100383\pi\) | |||||||
\(48\) | −19960.4 | − | 6485.53i | −0.0260510 | − | 0.00846449i | ||||
\(49\) | −222062. | −0.269642 | ||||||||
\(50\) | 616178. | + | 1.29755e6i | 0.697126 | + | 1.46801i | ||||
\(51\) | 389526. | 0.411188 | ||||||||
\(52\) | −1.58801e6 | − | 515974.i | −1.56617 | − | 0.508881i | ||||
\(53\) | −1.21580e6 | + | 1.67340e6i | −1.12175 | + | 1.54396i | −0.318887 | + | 0.947793i | \(0.603309\pi\) |
−0.802863 | + | 0.596163i | \(0.796691\pi\) | |||||||
\(54\) | 1.38108e6 | + | 1.00341e6i | 1.19355 | + | 0.867165i | ||||
\(55\) | 67083.6 | + | 58932.3i | 0.0543685 | + | 0.0477621i | ||||
\(56\) | −1.24803e6 | + | 906748.i | −0.949659 | + | 0.689967i | ||||
\(57\) | − | 1.18309e6i | − | 0.846164i | ||||||
\(58\) | −1.42736e6 | − | 1.96459e6i | −0.960582 | − | 1.32213i | ||||
\(59\) | 56873.2 | + | 175038.i | 0.0360517 | + | 0.110956i | 0.967463 | − | 0.253013i | \(-0.0814215\pi\) |
−0.931411 | + | 0.363969i | \(0.881422\pi\) | |||||||
\(60\) | −133669. | + | 1.44119e6i | −0.0798918 | + | 0.861376i | ||||
\(61\) | 251837. | − | 775075.i | 0.142058 | − | 0.437209i | −0.854563 | − | 0.519348i | \(-0.826175\pi\) |
0.996621 | + | 0.0821386i | \(0.0261750\pi\) | |||||||
\(62\) | 2.25819e6 | − | 733731.i | 1.20334 | − | 0.390990i | ||||
\(63\) | 1.53583e6 | − | 499022.i | 0.773841 | − | 0.251436i | ||||
\(64\) | 1.04190e6 | − | 3.20663e6i | 0.496815 | − | 1.52904i | ||||
\(65\) | −205193. | + | 2.21234e6i | −0.0926757 | + | 0.999208i | ||||
\(66\) | 44746.1 | + | 137714.i | 0.0191581 | + | 0.0589625i | ||||
\(67\) | 370061. | + | 509345.i | 0.150318 | + | 0.206895i | 0.877535 | − | 0.479513i | \(-0.159187\pi\) |
−0.727217 | + | 0.686408i | \(0.759187\pi\) | |||||||
\(68\) | − | 3.31899e6i | − | 1.28004i | ||||||
\(69\) | −192020. | + | 139510.i | −0.0703678 | + | 0.0511252i | ||||
\(70\) | 3.94794e6 | + | 3.46822e6i | 1.37571 | + | 1.20855i | ||||
\(71\) | −3.89707e6 | − | 2.83139e6i | −1.29221 | − | 0.938849i | −0.292367 | − | 0.956306i | \(-0.594443\pi\) |
−0.999848 | + | 0.0174577i | \(0.994443\pi\) | |||||||
\(72\) | 1.40041e6 | − | 1.92750e6i | 0.442173 | − | 0.608599i | ||||
\(73\) | 3.01937e6 | + | 981052.i | 0.908419 | + | 0.295163i | 0.725707 | − | 0.688003i | \(-0.241513\pi\) |
0.182711 | + | 0.983167i | \(0.441513\pi\) | |||||||
\(74\) | 1.03120e7 | 2.95822 | ||||||||
\(75\) | 1.90992e6 | − | 248125.i | 0.522757 | − | 0.0679134i | ||||
\(76\) | −1.00806e7 | −2.63413 | ||||||||
\(77\) | 310679. | + | 100946.i | 0.0775523 | + | 0.0251983i | ||||
\(78\) | −2.11781e6 | + | 2.91492e6i | −0.505308 | + | 0.695497i | ||||
\(79\) | −6.74288e6 | − | 4.89899e6i | −1.53869 | − | 1.11792i | −0.951151 | − | 0.308725i | \(-0.900098\pi\) |
−0.587537 | − | 0.809197i | \(-0.699902\pi\) | |||||||
\(80\) | 236940. | + | 21976.0i | 0.0517397 | + | 0.00479881i | ||||
\(81\) | −942451. | + | 684731.i | −0.197043 | + | 0.143160i | ||||
\(82\) | − | 1.24715e6i | − | 0.249787i | ||||||
\(83\) | −39823.3 | − | 54812.1i | −0.00764477 | − | 0.0105221i | 0.805178 | − | 0.593034i | \(-0.202070\pi\) |
−0.812822 | + | 0.582512i | \(0.802070\pi\) | |||||||
\(84\) | 1.63626e6 | + | 5.03590e6i | 0.301214 | + | 0.927042i | ||||
\(85\) | −4.30837e6 | + | 971015.i | −0.760934 | + | 0.171498i | ||||
\(86\) | −2.50027e6 | + | 7.69504e6i | −0.423879 | + | 1.30457i | ||||
\(87\) | −3.09661e6 | + | 1.00615e6i | −0.504162 | + | 0.163812i | ||||
\(88\) | 458366. | − | 148932.i | 0.0717006 | − | 0.0232969i | ||||
\(89\) | 1.89980e6 | − | 5.84698e6i | 0.285656 | − | 0.879157i | −0.700546 | − | 0.713607i | \(-0.747060\pi\) |
0.986201 | − | 0.165550i | \(-0.0529399\pi\) | |||||||
\(90\) | −7.45415e6 | − | 3.21010e6i | −1.07783 | − | 0.464163i | ||||
\(91\) | 2.51179e6 | + | 7.73050e6i | 0.349413 | + | 1.07538i | ||||
\(92\) | 1.18871e6 | + | 1.63612e6i | 0.159154 | + | 0.219057i | ||||
\(93\) | − | 3.18362e6i | − | 0.410422i | ||||||
\(94\) | −6.51921e6 | + | 4.73648e6i | −0.809557 | + | 0.588177i | ||||
\(95\) | 2.94921e6 | + | 1.30856e7i | 0.352918 | + | 1.56589i | ||||
\(96\) | −3.53914e6 | − | 2.57134e6i | −0.408271 | − | 0.296627i | ||||
\(97\) | −6.28592e6 | + | 8.65183e6i | −0.699307 | + | 0.962514i | 0.300654 | + | 0.953733i | \(0.402795\pi\) |
−0.999961 | + | 0.00878043i | \(0.997205\pi\) | |||||||
\(98\) | 3.88305e6 | + | 1.26168e6i | 0.416756 | + | 0.135412i | ||||
\(99\) | −504517. | −0.0522579 | ||||||||
\(100\) | −2.11416e6 | − | 1.62736e7i | −0.211416 | − | 1.62736i | ||||
\(101\) | 9.30291e6 | 0.898451 | 0.449225 | − | 0.893419i | \(-0.351700\pi\) | ||||
0.449225 | + | 0.893419i | \(0.351700\pi\) | |||||||
\(102\) | −6.81138e6 | − | 2.21315e6i | −0.635527 | − | 0.206495i | ||||
\(103\) | −3.37848e6 | + | 4.65008e6i | −0.304643 | + | 0.419305i | −0.933701 | − | 0.358053i | \(-0.883441\pi\) |
0.629058 | + | 0.777358i | \(0.283441\pi\) | |||||||
\(104\) | 9.70196e6 | + | 7.04888e6i | 0.845751 | + | 0.614474i | ||||
\(105\) | 6.05839e6 | − | 3.59735e6i | 0.510734 | − | 0.303264i | ||||
\(106\) | 3.07675e7 | − | 2.23539e7i | 2.50912 | − | 1.82299i | ||||
\(107\) | − | 1.27436e7i | − | 1.00566i | −0.864386 | − | 0.502829i | \(-0.832293\pi\) | ||
0.864386 | − | 0.502829i | \(-0.167707\pi\) | |||||||
\(108\) | −1.14635e7 | − | 1.57781e7i | −0.875654 | − | 1.20523i | ||||
\(109\) | −452809. | − | 1.39360e6i | −0.0334906 | − | 0.103073i | 0.932914 | − | 0.360100i | \(-0.117257\pi\) |
−0.966404 | + | 0.257026i | \(0.917257\pi\) | |||||||
\(110\) | −838213. | − | 1.41165e6i | −0.0600454 | − | 0.101124i | ||||
\(111\) | 4.27259e6 | − | 1.31497e7i | 0.296525 | − | 0.912609i | ||||
\(112\) | 827931. | − | 269011.i | 0.0556841 | − | 0.0180929i | ||||
\(113\) | 2.79323e7 | − | 9.07576e6i | 1.82109 | − | 0.591709i | 0.821320 | − | 0.570468i | \(-0.193238\pi\) |
0.999774 | − | 0.0212414i | \(-0.00676186\pi\) | |||||||
\(114\) | −6.72188e6 | + | 2.06878e7i | −0.424936 | + | 1.30782i | ||||
\(115\) | 1.77607e6 | − | 2.02173e6i | 0.108897 | − | 0.123960i | ||||
\(116\) | 8.57299e6 | + | 2.63849e7i | 0.509952 | + | 1.56947i | ||||
\(117\) | −7.37887e6 | − | 1.01561e7i | −0.425931 | − | 0.586244i | ||||
\(118\) | − | 3.38390e6i | − | 0.189596i | ||||||
\(119\) | −1.30713e7 | + | 9.49686e6i | −0.711057 | + | 0.516613i | ||||
\(120\) | 4.11165e6 | − | 9.54762e6i | 0.217211 | − | 0.504383i | ||||
\(121\) | 1.56829e7 | + | 1.13943e7i | 0.804780 | + | 0.584707i | ||||
\(122\) | −8.80740e6 | + | 1.21224e7i | −0.439125 | + | 0.604404i | ||||
\(123\) | −1.59034e6 | − | 516734.i | −0.0770590 | − | 0.0250380i | ||||
\(124\) | −2.71263e7 | −1.27766 | ||||||||
\(125\) | −2.05062e7 | + | 7.50546e6i | −0.939076 | + | 0.343710i | ||||
\(126\) | −2.96913e7 | −1.32231 | ||||||||
\(127\) | 1.29664e7 | + | 4.21305e6i | 0.561704 | + | 0.182509i | 0.576088 | − | 0.817388i | \(-0.304579\pi\) |
−0.0143840 | + | 0.999897i | \(0.504579\pi\) | |||||||
\(128\) | −2.30870e7 | + | 3.17765e7i | −0.973043 | + | 1.33928i | ||||
\(129\) | 8.77666e6 | + | 6.37661e6i | 0.359969 | + | 0.261533i | ||||
\(130\) | 1.61578e7 | − | 3.75199e7i | 0.645032 | − | 1.49782i | ||||
\(131\) | 3.40064e7 | − | 2.47071e7i | 1.32163 | − | 0.960223i | 0.321723 | − | 0.946834i | \(-0.395738\pi\) |
0.999910 | − | 0.0133893i | \(-0.00426208\pi\) | |||||||
\(132\) | − | 1.65428e6i | − | 0.0626037i | ||||||
\(133\) | 2.88443e7 | + | 3.97008e7i | 1.06311 | + | 1.46325i | ||||
\(134\) | −3.57708e6 | − | 1.10091e7i | −0.128429 | − | 0.395263i | ||||
\(135\) | −1.71278e7 | + | 1.94968e7i | −0.599145 | + | 0.682018i | ||||
\(136\) | −7.36621e6 | + | 2.26709e7i | −0.251106 | + | 0.772826i | ||||
\(137\) | −1.19167e7 | + | 3.87197e6i | −0.395945 | + | 0.128650i | −0.500220 | − | 0.865898i | \(-0.666748\pi\) |
0.104276 | + | 0.994548i | \(0.466748\pi\) | |||||||
\(138\) | 4.15037e6 | − | 1.34854e6i | 0.134434 | − | 0.0436803i | ||||
\(139\) | 1.59189e7 | − | 4.89935e7i | 0.502762 | − | 1.54734i | −0.301739 | − | 0.953391i | \(-0.597567\pi\) |
0.804501 | − | 0.593952i | \(-0.202433\pi\) | |||||||
\(140\) | −3.06515e7 | − | 5.16210e7i | −0.944070 | − | 1.58993i | ||||
\(141\) | 3.33877e6 | + | 1.02757e7i | 0.100304 | + | 0.308705i | ||||
\(142\) | 5.20585e7 | + | 7.16524e7i | 1.52575 | + | 2.10001i | ||||
\(143\) | − | 2.53945e6i | − | 0.0726212i | ||||||
\(144\) | −1.08772e6 | + | 790271.i | −0.0303561 | + | 0.0220550i | ||||
\(145\) | 3.17421e7 | − | 1.88479e7i | 0.864665 | − | 0.513422i | ||||
\(146\) | −4.72236e7 | − | 3.43100e7i | −1.25581 | − | 0.912401i | ||||
\(147\) | 3.21775e6 | − | 4.42885e6i | 0.0835491 | − | 0.114995i | ||||
\(148\) | −1.12043e8 | − | 3.64049e7i | −2.84098 | − | 0.923090i | ||||
\(149\) | −4.56427e7 | −1.13037 | −0.565184 | − | 0.824965i | \(-0.691195\pi\) | ||||
−0.565184 | + | 0.824965i | \(0.691195\pi\) | |||||||
\(150\) | −3.48072e7 | − | 6.51270e6i | −0.842073 | − | 0.157558i | ||||
\(151\) | −2.15140e7 | −0.508512 | −0.254256 | − | 0.967137i | \(-0.581831\pi\) | ||||
−0.254256 | + | 0.967137i | \(0.581831\pi\) | |||||||
\(152\) | 6.88570e7 | + | 2.23730e7i | 1.59036 | + | 0.516739i | ||||
\(153\) | 1.46673e7 | − | 2.01878e7i | 0.331078 | − | 0.455689i | ||||
\(154\) | −4.85910e6 | − | 3.53034e6i | −0.107209 | − | 0.0778922i | ||||
\(155\) | 7.93617e6 | + | 3.52126e7i | 0.171179 | + | 0.759517i | ||||
\(156\) | 3.33014e7 | − | 2.41949e7i | 0.702306 | − | 0.510255i | ||||
\(157\) | 5.54897e7i | 1.14436i | 0.820127 | + | 0.572181i | \(0.193903\pi\) | ||||
−0.820127 | + | 0.572181i | \(0.806097\pi\) | |||||||
\(158\) | 9.00738e7 | + | 1.23976e8i | 1.81677 | + | 2.50056i | ||||
\(159\) | −1.57574e7 | − | 4.84963e7i | −0.310881 | − | 0.956794i | ||||
\(160\) | 4.55548e7 | + | 1.96180e7i | 0.879253 | + | 0.378647i | ||||
\(161\) | 3.04225e6 | − | 9.36309e6i | 0.0574519 | − | 0.176819i | ||||
\(162\) | 2.03704e7 | − | 6.61875e6i | 0.376441 | − | 0.122313i | ||||
\(163\) | −7.40445e7 | + | 2.40585e7i | −1.33917 | + | 0.435123i | −0.889036 | − | 0.457837i | \(-0.848624\pi\) |
−0.450136 | + | 0.892960i | \(0.648624\pi\) | |||||||
\(164\) | −4.40287e6 | + | 1.35506e7i | −0.0779440 | + | 0.239887i | ||||
\(165\) | −2.14742e6 | + | 483982.i | −0.0372154 | + | 0.00838756i | ||||
\(166\) | 384940. | + | 1.18472e6i | 0.00653153 | + | 0.0201020i | ||||
\(167\) | −3.75879e7 | − | 5.17353e7i | −0.624511 | − | 0.859566i | 0.373160 | − | 0.927767i | \(-0.378274\pi\) |
−0.997672 | + | 0.0682009i | \(0.978274\pi\) | |||||||
\(168\) | − | 3.80301e7i | − | 0.618792i | ||||||
\(169\) | 355630. | − | 258381.i | 0.00566755 | − | 0.00411772i | ||||
\(170\) | 8.08546e7 | + | 7.49919e6i | 1.26221 | + | 0.117069i | ||||
\(171\) | −6.13153e7 | − | 4.45482e7i | −0.937740 | − | 0.681308i | ||||
\(172\) | 5.43324e7 | − | 7.47822e7i | 0.814160 | − | 1.12059i | ||||
\(173\) | −5.19992e7 | − | 1.68956e7i | −0.763546 | − | 0.248091i | −0.0987459 | − | 0.995113i | \(-0.531483\pi\) |
−0.664800 | + | 0.747022i | \(0.731483\pi\) | |||||||
\(174\) | 5.98650e7 | 0.861491 | ||||||||
\(175\) | −5.80416e7 | + | 5.48912e7i | −0.818665 | + | 0.774229i | ||||
\(176\) | −271973. | −0.00376038 | ||||||||
\(177\) | −4.31509e6 | − | 1.40206e6i | −0.0584903 | − | 0.0190047i | ||||
\(178\) | −6.64410e7 | + | 9.14482e7i | −0.883011 | + | 1.21536i | ||||
\(179\) | −2.56917e7 | − | 1.86661e7i | −0.334816 | − | 0.243258i | 0.407655 | − | 0.913136i | \(-0.366347\pi\) |
−0.742472 | + | 0.669878i | \(0.766347\pi\) | |||||||
\(180\) | 6.96588e7 | + | 6.11945e7i | 0.890271 | + | 0.782094i | ||||
\(181\) | 9.08646e7 | − | 6.60170e7i | 1.13899 | − | 0.827524i | 0.152011 | − | 0.988379i | \(-0.451425\pi\) |
0.986978 | + | 0.160855i | \(0.0514251\pi\) | |||||||
\(182\) | − | 1.49449e8i | − | 1.83757i | ||||||
\(183\) | 1.18090e7 | + | 1.62538e7i | 0.142441 | + | 0.196054i | ||||
\(184\) | −4.48844e6 | − | 1.38140e7i | −0.0531169 | − | 0.163477i | ||||
\(185\) | −1.44775e7 | + | 1.56093e8i | −0.168110 | + | 1.81252i | ||||
\(186\) | −1.80882e7 | + | 5.56698e7i | −0.206111 | + | 0.634344i | ||||
\(187\) | 4.80071e6 | − | 1.55985e6i | 0.0536859 | − | 0.0174436i | ||||
\(188\) | 8.75547e7 | − | 2.84482e7i | 0.961008 | − | 0.312250i | ||||
\(189\) | −2.93383e7 | + | 9.02941e7i | −0.316096 | + | 0.972844i | ||||
\(190\) | 2.27769e7 | − | 2.45575e8i | 0.240911 | − | 2.59745i | ||||
\(191\) | 2.99679e7 | + | 9.22318e7i | 0.311200 | + | 0.957776i | 0.977290 | + | 0.211905i | \(0.0679667\pi\) |
−0.666090 | + | 0.745871i | \(0.732033\pi\) | |||||||
\(192\) | 4.88562e7 | + | 6.72448e7i | 0.498156 | + | 0.685653i | ||||
\(193\) | − | 1.09650e8i | − | 1.09789i | −0.835858 | − | 0.548946i | \(-0.815029\pi\) | ||
0.835858 | − | 0.548946i | \(-0.184971\pi\) | |||||||
\(194\) | 1.59074e8 | − | 1.15574e8i | 1.56421 | − | 1.13646i | ||||
\(195\) | −4.11501e7 | − | 3.61500e7i | −0.397420 | − | 0.349130i | ||||
\(196\) | −3.77364e7 | − | 2.74171e7i | −0.357984 | − | 0.260091i | ||||
\(197\) | 9.14089e6 | − | 1.25814e7i | 0.0851837 | − | 0.117245i | −0.764298 | − | 0.644863i | \(-0.776915\pi\) |
0.849482 | + | 0.527617i | \(0.176915\pi\) | |||||||
\(198\) | 8.82214e6 | + | 2.86649e6i | 0.0807692 | + | 0.0262435i | ||||
\(199\) | −8.15977e7 | −0.733993 | −0.366997 | − | 0.930222i | \(-0.619614\pi\) | ||||
−0.366997 | + | 0.930222i | \(0.619614\pi\) | |||||||
\(200\) | −2.16767e7 | + | 1.15852e8i | −0.191597 | + | 1.02399i | ||||
\(201\) | −1.55208e7 | −0.134812 | ||||||||
\(202\) | −1.62674e8 | − | 5.28559e7i | −1.38863 | − | 0.451194i | ||||
\(203\) | 7.93824e7 | − | 1.09261e8i | 0.666021 | − | 0.916700i | ||||
\(204\) | 6.61945e7 | + | 4.80931e7i | 0.545904 | + | 0.396623i | ||||
\(205\) | 1.88782e7 | + | 1.75094e6i | 0.153046 | + | 0.0141949i | ||||
\(206\) | 8.54974e7 | − | 6.21175e7i | 0.681424 | − | 0.495084i | ||||
\(207\) | 1.52049e7i | 0.119148i | ||||||||
\(208\) | −3.97778e6 | − | 5.47494e6i | −0.0306492 | − | 0.0421850i | ||||
\(209\) | −4.73764e6 | − | 1.45809e7i | −0.0358963 | − | 0.110477i | ||||
\(210\) | −1.26378e8 | + | 2.84828e7i | −0.941680 | + | 0.212234i | ||||
\(211\) | −2.87908e7 | + | 8.86091e7i | −0.210992 | + | 0.649366i | 0.788422 | + | 0.615135i | \(0.210898\pi\) |
−0.999414 | + | 0.0342315i | \(0.989102\pi\) | |||||||
\(212\) | −4.13216e8 | + | 1.34262e8i | −2.97853 | + | 0.967782i | ||||
\(213\) | 1.12940e8 | − | 3.66963e7i | 0.800788 | − | 0.260192i | ||||
\(214\) | −7.24048e7 | + | 2.22839e8i | −0.505033 | + | 1.55433i | ||||
\(215\) | −1.12970e8 | − | 4.86503e7i | −0.775229 | − | 0.333850i | ||||
\(216\) | 4.32848e7 | + | 1.33217e8i | 0.292245 | + | 0.899439i | ||||
\(217\) | 7.76185e7 | + | 1.06833e8i | 0.515651 | + | 0.709733i | ||||
\(218\) | 2.69417e7i | 0.176128i | ||||||||
\(219\) | −6.33179e7 | + | 4.60031e7i | −0.407354 | + | 0.295960i | ||||
\(220\) | 4.12381e6 | + | 1.82972e7i | 0.0261107 | + | 0.115853i | ||||
\(221\) | 1.01614e8 | + | 7.38268e7i | 0.633257 | + | 0.460088i | ||||
\(222\) | −1.49424e8 | + | 2.05664e8i | −0.916609 | + | 1.26160i | ||||
\(223\) | −4.42681e7 | − | 1.43836e7i | −0.267315 | − | 0.0868560i | 0.172293 | − | 0.985046i | \(-0.444883\pi\) |
−0.439608 | + | 0.898190i | \(0.644883\pi\) | |||||||
\(224\) | 1.81454e8 | 1.07869 | ||||||||
\(225\) | 5.90570e7 | − | 1.08327e8i | 0.345647 | − | 0.634015i | ||||
\(226\) | −5.39999e8 | −3.11181 | ||||||||
\(227\) | −2.02902e7 | − | 6.59270e6i | −0.115132 | − | 0.0374087i | 0.250884 | − | 0.968017i | \(-0.419279\pi\) |
−0.366016 | + | 0.930608i | \(0.619279\pi\) | |||||||
\(228\) | 1.46071e8 | − | 2.01049e8i | 0.816190 | − | 1.12339i | ||||
\(229\) | 7.73537e7 | + | 5.62007e7i | 0.425654 | + | 0.309256i | 0.779909 | − | 0.625893i | \(-0.215265\pi\) |
−0.354255 | + | 0.935149i | \(0.615265\pi\) | |||||||
\(230\) | −4.25437e7 | + | 2.52616e7i | −0.230562 | + | 0.136903i | ||||
\(231\) | −6.51512e6 | + | 4.73351e6i | −0.0347761 | + | 0.0252663i | ||||
\(232\) | − | 1.99253e8i | − | 1.04761i | ||||||
\(233\) | −1.93361e7 | − | 2.66138e7i | −0.100144 | − | 0.137836i | 0.756004 | − | 0.654566i | \(-0.227149\pi\) |
−0.856148 | + | 0.516731i | \(0.827149\pi\) | |||||||
\(234\) | 7.13256e7 | + | 2.19518e8i | 0.363907 | + | 1.11999i | ||||
\(235\) | −6.25440e7 | − | 1.05332e8i | −0.314375 | − | 0.529446i | ||||
\(236\) | −1.19464e7 | + | 3.67671e7i | −0.0591621 | + | 0.182082i | ||||
\(237\) | 1.95413e8 | − | 6.34935e7i | 0.953529 | − | 0.309820i | ||||
\(238\) | 2.82527e8 | − | 9.17985e7i | 1.35844 | − | 0.441384i | ||||
\(239\) | 9.58475e7 | − | 2.94988e8i | 0.454138 | − | 1.39769i | −0.418006 | − | 0.908444i | \(-0.637271\pi\) |
0.872144 | − | 0.489249i | \(-0.162729\pi\) | |||||||
\(240\) | −3.87163e6 | + | 4.40715e6i | −0.0180782 | + | 0.0205787i | ||||
\(241\) | 8.36868e7 | + | 2.57562e8i | 0.385121 | + | 1.18528i | 0.936392 | + | 0.350955i | \(0.114143\pi\) |
−0.551271 | + | 0.834326i | \(0.685857\pi\) | |||||||
\(242\) | −2.09498e8 | − | 2.88349e8i | −0.950223 | − | 1.30787i | ||||
\(243\) | − | 2.31775e8i | − | 1.03620i | ||||||
\(244\) | 1.38491e8 | − | 1.00620e8i | 0.610321 | − | 0.443424i | ||||
\(245\) | −2.45498e7 | + | 5.70068e7i | −0.106651 | + | 0.247654i | ||||
\(246\) | 2.48734e7 | + | 1.80716e7i | 0.106527 | + | 0.0773967i | ||||
\(247\) | 2.24230e8 | − | 3.08626e8i | 0.946792 | − | 1.30315i | ||||
\(248\) | 1.85290e8 | + | 6.02045e7i | 0.771386 | + | 0.250639i | ||||
\(249\) | 1.67024e6 | 0.00685615 | ||||||||
\(250\) | 4.01222e8 | − | 1.47337e7i | 1.62403 | − | 0.0596379i | ||||
\(251\) | 1.08362e8 | 0.432531 | 0.216265 | − | 0.976335i | \(-0.430612\pi\) | ||||
0.216265 | + | 0.976335i | \(0.430612\pi\) | |||||||
\(252\) | 3.22605e8 | + | 1.04821e8i | 1.26990 | + | 0.412616i | ||||
\(253\) | −1.80788e6 | + | 2.48833e6i | −0.00701856 | + | 0.00966021i | ||||
\(254\) | −2.02798e8 | − | 1.47341e8i | −0.776507 | − | 0.564166i | ||||
\(255\) | 4.30636e7 | − | 9.99974e7i | 0.162637 | − | 0.377657i | ||||
\(256\) | 2.35101e8 | − | 1.70811e8i | 0.875818 | − | 0.636319i | ||||
\(257\) | − | 2.61066e8i | − | 0.959365i | −0.877442 | − | 0.479683i | \(-0.840752\pi\) | ||
0.877442 | − | 0.479683i | \(-0.159248\pi\) | |||||||
\(258\) | −1.17242e8 | − | 1.61369e8i | −0.425024 | − | 0.584995i | ||||
\(259\) | 1.77221e8 | + | 5.45431e8i | 0.633821 | + | 1.95070i | ||||
\(260\) | −3.08018e8 | + | 3.50623e8i | −1.08685 | + | 1.23718i | ||||
\(261\) | −6.44552e7 | + | 1.98373e8i | −0.224396 | + | 0.690621i | ||||
\(262\) | −7.35024e8 | + | 2.38824e8i | −2.52492 | + | 0.820395i | ||||
\(263\) | −3.23474e8 | + | 1.05103e8i | −1.09646 | + | 0.356262i | −0.800740 | − | 0.599011i | \(-0.795560\pi\) |
−0.295723 | + | 0.955274i | \(0.595560\pi\) | |||||||
\(264\) | −3.67153e6 | + | 1.12998e7i | −0.0122810 | + | 0.0377970i | ||||
\(265\) | 2.95177e8 | + | 4.97115e8i | 0.974367 | + | 1.64095i | ||||
\(266\) | −2.78815e8 | − | 8.58104e8i | −0.908301 | − | 2.79546i | ||||
\(267\) | 8.90847e7 | + | 1.22615e8i | 0.286427 | + | 0.394233i | ||||
\(268\) | 1.32246e8i | 0.419673i | ||||||||
\(269\) | −2.38178e8 | + | 1.73047e8i | −0.746051 | + | 0.542038i | −0.894600 | − | 0.446867i | \(-0.852540\pi\) |
0.148549 | + | 0.988905i | \(0.452540\pi\) | |||||||
\(270\) | 4.10276e8 | − | 2.43614e8i | 1.26853 | − | 0.753232i | ||||
\(271\) | 1.48620e7 | + | 1.07978e7i | 0.0453611 | + | 0.0329568i | 0.610235 | − | 0.792221i | \(-0.291075\pi\) |
−0.564874 | + | 0.825177i | \(0.691075\pi\) | |||||||
\(272\) | 7.90679e6 | − | 1.08828e7i | 0.0238237 | − | 0.0327905i | ||||
\(273\) | −1.90575e8 | − | 6.19217e7i | −0.566888 | − | 0.184193i | ||||
\(274\) | 2.30379e8 | 0.676574 | ||||||||
\(275\) | 2.25452e7 | − | 1.07062e7i | 0.0653716 | − | 0.0310436i | ||||
\(276\) | −4.98558e7 | −0.142736 | ||||||||
\(277\) | 5.45001e8 | + | 1.77082e8i | 1.54070 | + | 0.500604i | 0.951569 | − | 0.307434i | \(-0.0994704\pi\) |
0.589130 | + | 0.808038i | \(0.299470\pi\) | |||||||
\(278\) | −5.56728e8 | + | 7.66270e8i | −1.55413 | + | 2.13907i | ||||
\(279\) | −1.64996e8 | − | 1.19877e8i | −0.454840 | − | 0.330461i | ||||
\(280\) | 9.48018e7 | + | 4.20633e8i | 0.258085 | + | 1.14512i | ||||
\(281\) | −1.37189e7 | + | 9.96734e6i | −0.0368847 | + | 0.0267983i | −0.606075 | − | 0.795408i | \(-0.707257\pi\) |
0.569190 | + | 0.822206i | \(0.307257\pi\) | |||||||
\(282\) | − | 1.98653e8i | − | 0.527502i | ||||||
\(283\) | −2.80705e8 | − | 3.86358e8i | −0.736204 | − | 1.01330i | −0.998828 | − | 0.0483992i | \(-0.984588\pi\) |
0.262624 | − | 0.964898i | \(-0.415412\pi\) | |||||||
\(284\) | −3.12674e8 | − | 9.62311e8i | −0.809985 | − | 2.49288i | ||||
\(285\) | −3.03717e8 | − | 1.30795e8i | −0.777162 | − | 0.334682i | ||||
\(286\) | −1.44283e7 | + | 4.44056e7i | −0.0364698 | + | 0.112242i | ||||
\(287\) | 6.59654e7 | − | 2.14334e7i | 0.164714 | − | 0.0535187i | ||||
\(288\) | −2.66527e8 | + | 8.65999e7i | −0.657458 | + | 0.213621i | ||||
\(289\) | 4.96514e7 | − | 1.52811e8i | 0.121001 | − | 0.372403i | ||||
\(290\) | −6.62140e8 | + | 1.49232e8i | −1.59425 | + | 0.359310i | ||||
\(291\) | −8.14689e7 | − | 2.50735e8i | −0.193806 | − | 0.596472i | ||||
\(292\) | 3.91973e8 | + | 5.39505e8i | 0.921333 | + | 1.26811i | ||||
\(293\) | 3.56340e8i | 0.827615i | 0.910364 | + | 0.413807i | \(0.135801\pi\) | ||||
−0.910364 | + | 0.413807i | \(0.864199\pi\) | |||||||
\(294\) | −8.14298e7 | + | 5.91622e7i | −0.186882 | + | 0.135778i | ||||
\(295\) | 5.12224e7 | + | 4.75083e6i | 0.116167 | + | 0.0107744i | ||||
\(296\) | 6.84528e8 | + | 4.97339e8i | 1.53416 | + | 1.11463i | ||||
\(297\) | 1.74345e7 | − | 2.39965e7i | 0.0386156 | − | 0.0531497i | ||||
\(298\) | 7.98124e8 | + | 2.59326e8i | 1.74708 | + | 0.567661i | ||||
\(299\) | −7.65326e7 | −0.165576 | ||||||||
\(300\) | 3.55199e8 | + | 1.93644e8i | 0.759534 | + | 0.414076i | ||||
\(301\) | −4.49983e8 | −0.951073 | ||||||||
\(302\) | 3.76200e8 | + | 1.22235e8i | 0.785950 | + | 0.255371i | ||||
\(303\) | −1.34802e8 | + | 1.85539e8i | −0.278386 | + | 0.383165i | ||||
\(304\) | −3.30536e7 | − | 2.40149e7i | −0.0674779 | − | 0.0490256i | ||||
\(305\) | −1.71132e8 | − | 1.50338e8i | −0.345368 | − | 0.303402i | ||||
\(306\) | −3.71177e8 | + | 2.69676e8i | −0.740552 | + | 0.538043i | ||||
\(307\) | − | 4.29682e8i | − | 0.847546i | −0.905769 | − | 0.423773i | \(-0.860706\pi\) | ||
0.905769 | − | 0.423773i | \(-0.139294\pi\) | |||||||
\(308\) | 4.03322e7 | + | 5.55126e7i | 0.0786547 | + | 0.108259i | ||||
\(309\) | −4.37869e7 | − | 1.34762e8i | −0.0844286 | − | 0.259845i | ||||
\(310\) | 6.12914e7 | − | 6.60830e8i | 0.116851 | − | 1.25986i | ||||
\(311\) | −1.40942e8 | + | 4.33775e8i | −0.265692 | + | 0.817717i | 0.725841 | + | 0.687863i | \(0.241451\pi\) |
−0.991533 | + | 0.129854i | \(0.958549\pi\) | |||||||
\(312\) | −2.81169e8 | + | 9.13573e7i | −0.524114 | + | 0.170295i | ||||
\(313\) | 4.30361e7 | − | 1.39833e7i | 0.0793283 | − | 0.0257753i | −0.269084 | − | 0.963117i | \(-0.586721\pi\) |
0.348412 | + | 0.937341i | \(0.386721\pi\) | |||||||
\(314\) | 3.15273e8 | − | 9.70311e8i | 0.574689 | − | 1.76871i | ||||
\(315\) | 4.16852e7 | − | 4.49441e8i | 0.0751442 | − | 0.810187i | ||||
\(316\) | −5.41001e8 | − | 1.66503e9i | −0.964480 | − | 2.96836i | ||||
\(317\) | 1.92798e8 | + | 2.65364e8i | 0.339935 | + | 0.467881i | 0.944423 | − | 0.328734i | \(-0.106622\pi\) |
−0.604487 | + | 0.796615i | \(0.706622\pi\) | |||||||
\(318\) | 9.37549e8i | 1.63493i | ||||||||
\(319\) | −3.41351e7 | + | 2.48006e7i | −0.0588754 | + | 0.0427755i | ||||
\(320\) | −7.08005e8 | − | 6.21975e8i | −1.20785 | − | 1.06108i | ||||
\(321\) | 2.54161e8 | + | 1.84659e8i | 0.428886 | + | 0.311604i | ||||
\(322\) | −1.06396e8 | + | 1.46441e8i | −0.177594 | + | 0.244437i | ||||
\(323\) | 7.21176e8 | + | 2.34324e8i | 1.19078 | + | 0.386909i | ||||
\(324\) | −2.44697e8 | −0.399688 | ||||||||
\(325\) | 5.45258e8 | + | 2.97259e8i | 0.881070 | + | 0.480334i | ||||
\(326\) | 1.43146e9 | 2.28832 | ||||||||
\(327\) | 3.43556e7 | + | 1.11628e7i | 0.0543352 | + | 0.0176546i | ||||
\(328\) | 6.01490e7 | − | 8.27880e7i | 0.0941174 | − | 0.129542i | ||||
\(329\) | −3.62566e8 | − | 2.63419e8i | −0.561308 | − | 0.407814i | ||||
\(330\) | 4.03003e7 | + | 3.73782e6i | 0.0617318 | + | 0.00572557i | ||||
\(331\) | −7.27376e8 | + | 5.28470e8i | −1.10246 | + | 0.800981i | −0.981459 | − | 0.191672i | \(-0.938609\pi\) |
−0.120997 | + | 0.992653i | \(0.538609\pi\) | |||||||
\(332\) | − | 1.42314e7i | − | 0.0213434i | ||||||
\(333\) | −5.20621e8 | − | 7.16574e8i | −0.772622 | − | 1.06342i | ||||
\(334\) | 3.63332e8 | + | 1.11822e9i | 0.533570 | + | 1.64216i | ||||
\(335\) | 1.71668e8 | − | 3.86904e7i | 0.249479 | − | 0.0562272i | ||||
\(336\) | −6.63177e6 | + | 2.04105e7i | −0.00953766 | + | 0.0293539i | ||||
\(337\) | 1.63192e8 | − | 5.30243e7i | 0.232270 | − | 0.0754692i | −0.190569 | − | 0.981674i | \(-0.561033\pi\) |
0.422840 | + | 0.906205i | \(0.361033\pi\) | |||||||
\(338\) | −7.68669e6 | + | 2.49756e6i | −0.0108276 | + | 0.00351809i | ||||
\(339\) | −2.23739e8 | + | 6.88598e8i | −0.311920 | + | 0.959991i | ||||
\(340\) | −8.52035e8 | − | 3.66926e8i | −1.17566 | − | 0.506294i | ||||
\(341\) | −1.27487e7 | − | 3.92365e7i | −0.0174111 | − | 0.0535859i | ||||
\(342\) | 8.19071e8 | + | 1.12736e9i | 1.10721 | + | 1.52395i | ||||
\(343\) | − | 6.15043e8i | − | 0.822955i | ||||||
\(344\) | −5.37099e8 | + | 3.90225e8i | −0.711377 | + | 0.516845i | ||||
\(345\) | 1.45860e7 | + | 6.47178e7i | 0.0191236 | + | 0.0848510i | ||||
\(346\) | 8.13279e8 | + | 5.90882e8i | 1.05554 | + | 0.766892i | ||||
\(347\) | −1.44027e8 | + | 1.98236e8i | −0.185050 | + | 0.254700i | −0.891456 | − | 0.453107i | \(-0.850315\pi\) |
0.706406 | + | 0.707807i | \(0.250315\pi\) | |||||||
\(348\) | −6.50452e8 | − | 2.11345e8i | −0.827347 | − | 0.268821i | ||||
\(349\) | −3.78867e8 | −0.477087 | −0.238543 | − | 0.971132i | \(-0.576670\pi\) | ||||
−0.238543 | + | 0.971132i | \(0.576670\pi\) | |||||||
\(350\) | 1.32681e9 | − | 6.30072e8i | 1.65413 | − | 0.785511i | ||||
\(351\) | 7.38052e8 | 0.910987 | ||||||||
\(352\) | −5.39150e7 | − | 1.75181e7i | −0.0658886 | − | 0.0214085i | ||||
\(353\) | 5.38107e8 | − | 7.40641e8i | 0.651115 | − | 0.896182i | −0.348032 | − | 0.937483i | \(-0.613150\pi\) |
0.999147 | + | 0.0413003i | \(0.0131500\pi\) | |||||||
\(354\) | 6.74891e7 | + | 4.90337e7i | 0.0808579 | + | 0.0587467i | ||||
\(355\) | −1.15770e9 | + | 6.87419e8i | −1.37340 | + | 0.815497i | ||||
\(356\) | 1.04475e9 | − | 7.59053e8i | 1.22726 | − | 0.891655i | ||||
\(357\) | − | 3.98309e8i | − | 0.463321i | ||||||
\(358\) | 3.43199e8 | + | 4.72372e8i | 0.395325 | + | 0.544119i | ||||
\(359\) | 725385. | + | 2.23251e6i | 0.000827443 | + | 0.00254661i | 0.951469 | − | 0.307743i | \(-0.0995738\pi\) |
−0.950642 | + | 0.310290i | \(0.899574\pi\) | |||||||
\(360\) | −3.39999e8 | − | 5.72601e8i | −0.384078 | − | 0.646834i | ||||
\(361\) | 4.35479e8 | − | 1.34027e9i | 0.487183 | − | 1.49939i | ||||
\(362\) | −1.96397e9 | + | 6.38133e8i | −2.17598 | + | 0.707020i | ||||
\(363\) | −4.54500e8 | + | 1.47676e8i | −0.498724 | + | 0.162045i | ||||
\(364\) | −5.27609e8 | + | 1.62381e9i | −0.573399 | + | 1.76474i | ||||
\(365\) | 5.85654e8 | − | 6.66660e8i | 0.630400 | − | 0.717595i | ||||
\(366\) | −1.14149e8 | − | 3.51313e8i | −0.121699 | − | 0.374551i | ||||
\(367\) | 3.21777e7 | + | 4.42888e7i | 0.0339800 | + | 0.0467695i | 0.825669 | − | 0.564155i | \(-0.190798\pi\) |
−0.791689 | + | 0.610924i | \(0.790798\pi\) | |||||||
\(368\) | 8.19659e6i | 0.00857365i | ||||||||
\(369\) | −8.66636e7 | + | 6.29648e7i | −0.0897935 | + | 0.0652388i | ||||
\(370\) | 1.14003e9 | − | 2.64724e9i | 1.17006 | − | 2.71699i | ||||
\(371\) | 1.71114e9 | + | 1.24321e9i | 1.73971 | + | 1.26397i | ||||
\(372\) | 3.93068e8 | − | 5.41012e8i | 0.395884 | − | 0.544887i | ||||
\(373\) | −7.78487e8 | − | 2.52946e8i | −0.776731 | − | 0.252375i | −0.106287 | − | 0.994335i | \(-0.533896\pi\) |
−0.670444 | + | 0.741960i | \(0.733896\pi\) | |||||||
\(374\) | −9.28093e7 | −0.0917362 | ||||||||
\(375\) | 1.47451e8 | − | 5.17737e8i | 0.144390 | − | 0.506990i | ||||
\(376\) | −6.61194e8 | −0.641463 | ||||||||
\(377\) | −9.98495e8 | − | 3.24431e8i | −0.959734 | − | 0.311837i | ||||
\(378\) | 1.02604e9 | − | 1.41222e9i | 0.977108 | − | 1.34487i | ||||
\(379\) | 5.80232e8 | + | 4.21563e8i | 0.547475 | + | 0.397764i | 0.826854 | − | 0.562417i | \(-0.190128\pi\) |
−0.279379 | + | 0.960181i | \(0.590128\pi\) | |||||||
\(380\) | −1.11445e9 | + | 2.58784e9i | −1.04188 | + | 2.41933i | ||||
\(381\) | −2.71913e8 | + | 1.97557e8i | −0.251880 | + | 0.183001i | ||||
\(382\) | − | 1.78306e9i | − | 1.63661i | ||||||
\(383\) | 4.60000e8 | + | 6.33135e8i | 0.418371 | + | 0.575839i | 0.965235 | − | 0.261383i | \(-0.0841785\pi\) |
−0.546864 | + | 0.837222i | \(0.684178\pi\) | |||||||
\(384\) | −2.99219e8 | − | 9.20902e8i | −0.269668 | − | 0.829954i | ||||
\(385\) | 6.02611e7 | − | 6.85962e7i | 0.0538176 | − | 0.0612615i | ||||
\(386\) | −6.22995e8 | + | 1.91738e9i | −0.551352 | + | 1.69689i | ||||
\(387\) | 6.60956e8 | − | 2.14758e8i | 0.579674 | − | 0.188348i | ||||
\(388\) | −2.13641e9 | + | 6.94162e8i | −1.85684 | + | 0.603323i | ||||
\(389\) | 3.74137e7 | − | 1.15148e8i | 0.0322260 | − | 0.0991816i | −0.933650 | − | 0.358187i | \(-0.883395\pi\) |
0.965876 | + | 0.259006i | \(0.0833949\pi\) | |||||||
\(390\) | 5.14173e8 | + | 8.65930e8i | 0.438918 | + | 0.739191i | ||||
\(391\) | −4.70098e7 | − | 1.44681e8i | −0.0397713 | − | 0.122404i | ||||
\(392\) | 1.96914e8 | + | 2.71029e8i | 0.165111 | + | 0.227256i | ||||
\(393\) | 1.03624e9i | 0.861168i | ||||||||
\(394\) | −2.31323e8 | + | 1.68066e8i | −0.190538 | + | 0.138434i | ||||
\(395\) | −2.00310e9 | + | 1.18940e9i | −1.63536 | + | 0.971043i | ||||
\(396\) | −8.57356e7 | − | 6.22905e7i | −0.0693790 | − | 0.0504068i | ||||
\(397\) | −7.81407e8 | + | 1.07551e9i | −0.626774 | + | 0.862680i | −0.997824 | − | 0.0659329i | \(-0.978998\pi\) |
0.371050 | + | 0.928613i | \(0.378998\pi\) | |||||||
\(398\) | 1.42684e9 | + | 4.63609e8i | 1.13445 | + | 0.368605i | ||||
\(399\) | −1.20976e9 | −0.953444 | ||||||||
\(400\) | 3.18362e7 | − | 5.83967e7i | 0.0248720 | − | 0.0456225i | ||||
\(401\) | −7.65251e8 | −0.592651 | −0.296325 | − | 0.955087i | \(-0.595761\pi\) | ||||
−0.296325 | + | 0.955087i | \(0.595761\pi\) | |||||||
\(402\) | 2.71401e8 | + | 8.81836e7i | 0.208363 | + | 0.0677013i | ||||
\(403\) | 6.03391e8 | − | 8.30496e8i | 0.459231 | − | 0.632077i | ||||
\(404\) | 1.58090e9 | + | 1.14859e9i | 1.19281 | + | 0.866624i | ||||
\(405\) | 7.15896e7 | + | 3.17641e8i | 0.0535497 | + | 0.237599i | ||||
\(406\) | −2.00889e9 | + | 1.45954e9i | −1.48975 | + | 1.08237i | ||||
\(407\) | − | 1.79173e8i | − | 0.131732i | ||||||
\(408\) | −3.45413e8 | − | 4.75421e8i | −0.251784 | − | 0.346551i | ||||
\(409\) | −3.67978e8 | − | 1.13252e9i | −0.265944 | − | 0.818491i | −0.991474 | − | 0.130301i | \(-0.958406\pi\) |
0.725531 | − | 0.688190i | \(-0.241594\pi\) | |||||||
\(410\) | −3.20162e8 | − | 1.37877e8i | −0.229417 | − | 0.0987979i | ||||
\(411\) | 9.54534e7 | − | 2.93775e8i | 0.0678180 | − | 0.208722i | ||||
\(412\) | −1.14825e9 | + | 3.73090e8i | −0.808904 | + | 0.262829i | ||||
\(413\) | 1.78984e8 | − | 5.81556e7i | 0.125023 | − | 0.0406224i | ||||
\(414\) | 8.63887e7 | − | 2.65877e8i | 0.0598351 | − | 0.184153i | ||||
\(415\) | −1.84737e7 | + | 4.16359e6i | −0.0126878 | + | 0.00285956i | ||||
\(416\) | −4.35895e8 | − | 1.34155e9i | −0.296862 | − | 0.913648i | ||||
\(417\) | 7.46465e8 | + | 1.02742e9i | 0.504119 | + | 0.693861i | ||||
\(418\) | 2.81885e8i | 0.188779i | ||||||||
\(419\) | 1.51623e9 | − | 1.10161e9i | 1.00697 | − | 0.731607i | 0.0433986 | − | 0.999058i | \(-0.486181\pi\) |
0.963571 | + | 0.267451i | \(0.0861814\pi\) | |||||||
\(420\) | 1.47369e9 | + | 1.36683e8i | 0.970584 | + | 0.0900209i | ||||
\(421\) | −1.38677e9 | − | 1.00755e9i | −0.905768 | − | 0.658079i | 0.0341731 | − | 0.999416i | \(-0.489120\pi\) |
−0.939941 | + | 0.341337i | \(0.889120\pi\) | |||||||
\(422\) | 1.00689e9 | − | 1.38587e9i | 0.652212 | − | 0.897693i | ||||
\(423\) | 6.58271e8 | + | 2.13885e8i | 0.422877 | + | 0.137401i | ||||
\(424\) | 3.12052e9 | 1.98814 | ||||||||
\(425\) | −2.27032e8 | + | 1.21338e9i | −0.143458 | + | 0.766715i | ||||
\(426\) | −2.18339e9 | −1.36835 | ||||||||
\(427\) | −7.92551e8 | − | 2.57515e8i | −0.492640 | − | 0.160068i | ||||
\(428\) | 1.57340e9 | − | 2.16560e9i | 0.970033 | − | 1.33514i | ||||
\(429\) | 5.06473e7 | + | 3.67974e7i | 0.0309710 | + | 0.0225018i | ||||
\(430\) | 1.69902e9 | + | 1.49257e9i | 1.03053 | + | 0.905308i | ||||
\(431\) | 1.16008e9 | − | 8.42851e8i | 0.697942 | − | 0.507084i | −0.181319 | − | 0.983424i | \(-0.558037\pi\) |
0.879261 | + | 0.476340i | \(0.158037\pi\) | |||||||
\(432\) | − | 7.90448e7i | − | 0.0471715i | ||||||
\(433\) | 5.28990e8 | + | 7.28093e8i | 0.313141 | + | 0.431002i | 0.936358 | − | 0.351048i | \(-0.114174\pi\) |
−0.623216 | + | 0.782049i | \(0.714174\pi\) | |||||||
\(434\) | −7.50276e8 | − | 2.30911e9i | −0.440562 | − | 1.35591i | ||||
\(435\) | −8.40477e7 | + | 9.06183e8i | −0.0489568 | + | 0.527841i | ||||
\(436\) | 9.51137e7 | − | 2.92730e8i | 0.0549592 | − | 0.169147i | ||||
\(437\) | −4.39433e8 | + | 1.42780e8i | −0.251888 | + | 0.0818434i | ||||
\(438\) | 1.36857e9 | − | 4.44676e8i | 0.778230 | − | 0.252862i | ||||
\(439\) | 6.41251e8 | − | 1.97357e9i | 0.361745 | − | 1.11334i | −0.590250 | − | 0.807221i | \(-0.700971\pi\) |
0.951994 | − | 0.306115i | \(-0.0990293\pi\) | |||||||
\(440\) | 1.24409e7 | − | 1.34135e8i | 0.00696252 | − | 0.0750683i | ||||
\(441\) | −1.08370e8 | − | 3.33530e8i | −0.0601694 | − | 0.185182i | ||||
\(442\) | −1.35739e9 | − | 1.86829e9i | −0.747701 | − | 1.02912i | ||||
\(443\) | 2.76277e9i | 1.50984i | 0.655814 | + | 0.754922i | \(0.272325\pi\) | ||||
−0.655814 | + | 0.754922i | \(0.727675\pi\) | |||||||
\(444\) | 2.34960e9 | − | 1.70709e9i | 1.27395 | − | 0.925582i | ||||
\(445\) | −1.29098e9 | − | 1.13411e9i | −0.694480 | − | 0.610094i | ||||
\(446\) | 6.92363e8 | + | 5.03031e8i | 0.369540 | + | 0.268487i | ||||
\(447\) | 6.61377e8 | − | 9.10308e8i | 0.350246 | − | 0.482072i | ||||
\(448\) | −3.27893e9 | − | 1.06539e9i | −1.72290 | − | 0.559803i | ||||
\(449\) | −6.46933e8 | −0.337285 | −0.168642 | − | 0.985677i | \(-0.553938\pi\) | ||||
−0.168642 | + | 0.985677i | \(0.553938\pi\) | |||||||
\(450\) | −1.64817e9 | + | 1.55871e9i | −0.852624 | + | 0.806344i | ||||
\(451\) | −2.16694e7 | −0.0111232 | ||||||||
\(452\) | 5.86725e9 | + | 1.90639e9i | 2.98848 | + | 0.971016i | ||||
\(453\) | 3.11744e8 | − | 4.29079e8i | 0.157563 | − | 0.216867i | ||||
\(454\) | 3.17344e8 | + | 2.30564e8i | 0.159160 | + | 0.115637i | ||||
\(455\) | 2.26223e9 | + | 2.09820e8i | 1.12589 | + | 0.104425i | ||||
\(456\) | −1.44397e9 | + | 1.04911e9i | −0.713150 | + | 0.518134i | ||||
\(457\) | − | 1.27008e8i | − | 0.0622480i | −0.999516 | − | 0.0311240i | \(-0.990091\pi\) | ||
0.999516 | − | 0.0311240i | \(-0.00990868\pi\) | |||||||
\(458\) | −1.03332e9 | − | 1.42224e9i | −0.502580 | − | 0.691742i | ||||
\(459\) | 4.53345e8 | + | 1.39525e9i | 0.218819 | + | 0.673455i | ||||
\(460\) | 5.51433e8 | − | 1.24281e8i | 0.264144 | − | 0.0595323i | ||||
\(461\) | −4.68245e8 | + | 1.44111e9i | −0.222597 | + | 0.685085i | 0.775929 | + | 0.630820i | \(0.217281\pi\) |
−0.998527 | + | 0.0542645i | \(0.982719\pi\) | |||||||
\(462\) | 1.40820e8 | − | 4.57551e7i | 0.0664380 | − | 0.0215870i | ||||
\(463\) | −6.00587e8 | + | 1.95143e8i | −0.281218 | + | 0.0913732i | −0.446230 | − | 0.894918i | \(-0.647234\pi\) |
0.165012 | + | 0.986292i | \(0.447234\pi\) | |||||||
\(464\) | −3.47463e7 | + | 1.06938e8i | −0.0161471 | + | 0.0496957i | ||||
\(465\) | −8.17285e8 | − | 3.51961e8i | −0.376954 | − | 0.162334i | ||||
\(466\) | 1.86906e8 | + | 5.75239e8i | 0.0855606 | + | 0.263328i | ||||
\(467\) | −2.23062e8 | − | 3.07019e8i | −0.101348 | − | 0.139494i | 0.755331 | − | 0.655344i | \(-0.227476\pi\) |
−0.856679 | + | 0.515850i | \(0.827476\pi\) | |||||||
\(468\) | − | 2.63693e9i | − | 1.18916i | ||||||
\(469\) | 5.20830e8 | − | 3.78405e8i | 0.233126 | − | 0.169376i | ||||
\(470\) | 4.95206e8 | + | 2.19722e9i | 0.220010 | + | 0.976182i | ||||
\(471\) | −1.10670e9 | − | 8.04063e8i | −0.488041 | − | 0.354582i | ||||
\(472\) | 1.63203e8 | − | 2.24629e8i | 0.0714382 | − | 0.0983263i | ||||
\(473\) | 1.33703e8 | + | 4.34427e7i | 0.0580934 | + | 0.0188757i | ||||
\(474\) | −3.77780e9 | −1.62935 | ||||||||
\(475\) | 3.68532e9 | + | 6.89552e8i | 1.57778 | + | 0.295216i | ||||
\(476\) | −3.39382e9 | −1.44233 | ||||||||
\(477\) | −3.10672e9 | − | 1.00944e9i | −1.31066 | − | 0.425858i | ||||
\(478\) | −3.35204e9 | + | 4.61369e9i | −1.40382 | + | 1.93219i | ||||
\(479\) | 2.02579e9 | + | 1.47182e9i | 0.842210 | + | 0.611901i | 0.922987 | − | 0.384831i | \(-0.125740\pi\) |
−0.0807771 | + | 0.996732i | \(0.525740\pi\) | |||||||
\(480\) | −1.05137e9 | + | 6.24282e8i | −0.433921 | + | 0.257654i | ||||
\(481\) | 3.60683e9 | − | 2.62051e9i | 1.47781 | − | 1.07369i | ||||
\(482\) | − | 4.97928e9i | − | 2.02536i | ||||||
\(483\) | 1.42656e8 | + | 1.96349e8i | 0.0576070 | + | 0.0792893i | ||||
\(484\) | 1.25828e9 | + | 3.87260e9i | 0.504452 | + | 1.55254i | ||||
\(485\) | 1.52613e9 | + | 2.57019e9i | 0.607428 | + | 1.02298i | ||||
\(486\) | −1.31687e9 | + | 4.05290e9i | −0.520373 | + | 1.60154i | ||||
\(487\) | −1.29561e9 | + | 4.20968e8i | −0.508302 | + | 0.165157i | −0.551930 | − | 0.833891i | \(-0.686108\pi\) |
0.0436280 | + | 0.999048i | \(0.486108\pi\) | |||||||
\(488\) | −1.16930e9 | + | 3.79930e8i | −0.455468 | + | 0.147991i | ||||
\(489\) | 5.93100e8 | − | 1.82537e9i | 0.229375 | − | 0.705945i | ||||
\(490\) | 7.53178e8 | − | 8.57356e8i | 0.289209 | − | 0.329211i | ||||
\(491\) | −2.91980e8 | − | 8.98621e8i | −0.111319 | − | 0.342603i | 0.879843 | − | 0.475265i | \(-0.157648\pi\) |
−0.991161 | + | 0.132661i | \(0.957648\pi\) | |||||||
\(492\) | −2.06458e8 | − | 2.84165e8i | −0.0781544 | − | 0.107570i | ||||
\(493\) | − | 2.08689e9i | − | 0.784395i | ||||||
\(494\) | −5.67446e9 | + | 4.12274e9i | −2.11778 | + | 1.53866i | ||||
\(495\) | −5.57762e7 | + | 1.29517e8i | −0.0206695 | + | 0.0479965i | ||||
\(496\) | −8.89455e7 | − | 6.46227e7i | −0.0327294 | − | 0.0237793i | ||||
\(497\) | −2.89523e9 | + | 3.98495e9i | −1.05788 | + | 1.45605i | ||||
\(498\) | −2.92063e7 | − | 9.48970e6i | −0.0105968 | − | 0.00344310i | ||||
\(499\) | −7.84007e8 | −0.282467 | −0.141234 | − | 0.989976i | \(-0.545107\pi\) | ||||
−0.141234 | + | 0.989976i | \(0.545107\pi\) | |||||||
\(500\) | −4.41141e9 | − | 1.25637e9i | −1.57828 | − | 0.449492i | ||||
\(501\) | 1.57648e9 | 0.560088 | ||||||||
\(502\) | −1.89484e9 | − | 6.15672e8i | −0.668514 | − | 0.217213i | ||||
\(503\) | −3.70041e8 | + | 5.09318e8i | −0.129647 | + | 0.178443i | −0.868905 | − | 0.494978i | \(-0.835176\pi\) |
0.739259 | + | 0.673422i | \(0.235176\pi\) | |||||||
\(504\) | −1.97097e9 | − | 1.43199e9i | −0.685760 | − | 0.498234i | ||||
\(505\) | 1.02847e9 | − | 2.38820e9i | 0.355363 | − | 0.825185i | ||||
\(506\) | 4.57510e7 | − | 3.32401e7i | 0.0156991 | − | 0.0114060i | ||||
\(507\) | 1.08368e7i | 0.00369294i | ||||||||
\(508\) | 1.68330e9 | + | 2.31686e9i | 0.569689 | + | 0.784109i | ||||
\(509\) | 7.64194e8 | + | 2.35195e9i | 0.256857 | + | 0.790524i | 0.993458 | + | 0.114197i | \(0.0364295\pi\) |
−0.736601 | + | 0.676327i | \(0.763570\pi\) | |||||||
\(510\) | −1.32117e9 | + | 1.50391e9i | −0.441026 | + | 0.502027i | ||||
\(511\) | 1.00317e9 | − | 3.08745e9i | 0.332585 | − | 1.02359i | ||||
\(512\) | −3.00031e8 | + | 9.74859e7i | −0.0987918 | + | 0.0320994i | ||||
\(513\) | 4.23773e9 | − | 1.37692e9i | 1.38587 | − | 0.450296i | ||||
\(514\) | −1.48328e9 | + | 4.56508e9i | −0.481785 | + | 1.48278i | ||||
\(515\) | 8.20245e8 | + | 1.38139e9i | 0.264617 | + | 0.445648i | ||||
\(516\) | 7.04177e8 | + | 2.16723e9i | 0.225636 | + | 0.694435i | ||||
\(517\) | 8.22973e7 | + | 1.13273e8i | 0.0261920 | + | 0.0360502i | ||||
\(518\) | − | 1.05445e10i | − | 3.33328i | ||||||
\(519\) | 1.09045e9 | − | 7.92260e8i | 0.342390 | − | 0.248761i | ||||
\(520\) | 2.88215e9 | − | 1.71136e9i | 0.898885 | − | 0.533741i | ||||
\(521\) | −1.33615e9 | − | 9.70767e8i | −0.413925 | − | 0.300734i | 0.361264 | − | 0.932464i | \(-0.382345\pi\) |
−0.775189 | + | 0.631729i | \(0.782345\pi\) | |||||||
\(522\) | 2.25417e9 | − | 3.10260e9i | 0.693648 | − | 0.954725i | ||||
\(523\) | 3.43665e9 | + | 1.11663e9i | 1.05046 | + | 0.341315i | 0.782849 | − | 0.622212i | \(-0.213766\pi\) |
0.267611 | + | 0.963527i | \(0.413766\pi\) | |||||||
\(524\) | 8.82939e9 | 2.68084 | ||||||||
\(525\) | −2.53719e8 | − | 1.95298e9i | −0.0765237 | − | 0.589035i | ||||
\(526\) | 6.25353e9 | 1.87359 | ||||||||
\(527\) | 1.94065e9 | + | 6.30554e8i | 0.577576 | + | 0.187666i | ||||
\(528\) | 3.94097e6 | − | 5.42428e6i | 0.00116516 | − | 0.00160370i | ||||
\(529\) | −2.67957e9 | − | 1.94682e9i | −0.786992 | − | 0.571783i | ||||
\(530\) | −2.33713e9 | − | 1.03698e10i | −0.681896 | − | 3.02556i | ||||
\(531\) | −2.35145e8 | + | 1.70843e8i | −0.0681562 | + | 0.0495184i | ||||
\(532\) | 1.03079e10i | 2.96810i | ||||||||
\(533\) | −3.16929e8 | − | 4.36215e8i | −0.0906602 | − | 0.124783i | ||||
\(534\) | −8.61110e8 | − | 2.65022e9i | −0.244717 | − | 0.753162i | ||||
\(535\) | −3.27149e9 | − | 1.40886e9i | −0.923649 | − | 0.397767i | ||||
\(536\) | 2.93509e8 | − | 9.03327e8i | 0.0823273 | − | 0.253378i | ||||
\(537\) | 7.44560e8 | − | 2.41922e8i | 0.207487 | − | 0.0674165i | ||||
\(538\) | 5.14805e9 | − | 1.67270e9i | 1.42529 | − | 0.463106i | ||||
\(539\) | 2.19219e7 | − | 6.74688e7i | 0.00603001 | − | 0.0185585i | ||||
\(540\) | −5.31781e9 | + | 1.19852e9i | −1.45330 | + | 0.327542i | ||||
\(541\) | 1.56118e9 | + | 4.80483e9i | 0.423900 | + | 1.30463i | 0.904044 | + | 0.427440i | \(0.140585\pi\) |
−0.480143 | + | 0.877190i | \(0.659415\pi\) | |||||||
\(542\) | −1.98531e8 | − | 2.73255e8i | −0.0535589 | − | 0.0737175i | ||||
\(543\) | 2.76883e9i | 0.742158i | ||||||||
\(544\) | 2.26838e9 | − | 1.64808e9i | 0.604116 | − | 0.438916i | ||||
\(545\) | −4.07819e8 | − | 3.78249e7i | −0.107915 | − | 0.0100090i | ||||
\(546\) | 2.98064e9 | + | 2.16557e9i | 0.783675 | + | 0.569373i | ||||
\(547\) | −2.33063e9 | + | 3.20783e9i | −0.608860 | + | 0.838023i | −0.996483 | − | 0.0837945i | \(-0.973296\pi\) |
0.387624 | + | 0.921818i | \(0.373296\pi\) | |||||||
\(548\) | −2.50313e9 | − | 8.13318e8i | −0.649759 | − | 0.211119i | ||||
\(549\) | 1.28704e9 | 0.331961 | ||||||||
\(550\) | −4.55061e8 | + | 5.91187e7i | −0.116627 | + | 0.0151515i | ||||
\(551\) | −6.33839e9 | −1.61417 | ||||||||
\(552\) | 3.40548e8 | + | 1.10651e8i | 0.0861771 | + | 0.0280006i | ||||
\(553\) | −5.00945e9 | + | 6.89492e9i | −1.25966 | + | 1.73377i | ||||
\(554\) | −8.52394e9 | − | 6.19301e9i | −2.12989 | − | 1.54745i | ||||
\(555\) | −2.90338e9 | − | 2.55059e9i | −0.720905 | − | 0.633307i | ||||
\(556\) | 8.75422e9 | − | 6.36031e9i | 2.16001 | − | 1.56934i | ||||
\(557\) | − | 1.52549e9i | − | 0.374038i | −0.982356 | − | 0.187019i | \(-0.940117\pi\) | ||
0.982356 | − | 0.187019i | \(-0.0598825\pi\) | |||||||
\(558\) | 2.20408e9 | + | 3.03365e9i | 0.537041 | + | 0.739173i | ||||
\(559\) | 1.08097e9 | + | 3.32688e9i | 0.261741 | + | 0.805555i | ||||
\(560\) | 2.24715e7 | − | 2.42283e8i | 0.00540723 | − | 0.0582995i | ||||
\(561\) | −3.84539e7 | + | 1.18349e8i | −0.00919540 | + | 0.0283005i | ||||
\(562\) | 2.96523e8 | − | 9.63463e7i | 0.0704664 | − | 0.0228959i | ||||
\(563\) | 2.82310e9 | − | 9.17280e8i | 0.666725 | − | 0.216632i | 0.0439506 | − | 0.999034i | \(-0.486006\pi\) |
0.622774 | + | 0.782402i | \(0.286006\pi\) | |||||||
\(564\) | −7.01317e8 | + | 2.15843e9i | −0.164603 | + | 0.506596i | ||||
\(565\) | 7.58133e8 | − | 8.17402e9i | 0.176838 | − | 1.90663i | ||||
\(566\) | 2.71335e9 | + | 8.35084e9i | 0.628997 | + | 1.93585i | ||||
\(567\) | 7.00170e8 | + | 9.63702e8i | 0.161311 | + | 0.222025i | ||||
\(568\) | 7.26717e9i | 1.66397i | ||||||||
\(569\) | −3.69771e9 | + | 2.68655e9i | −0.841473 | + | 0.611366i | −0.922782 | − | 0.385323i | \(-0.874090\pi\) |
0.0813087 | + | 0.996689i | \(0.474090\pi\) | |||||||
\(570\) | 4.56776e9 | + | 4.01273e9i | 1.03310 | + | 0.907565i | ||||
\(571\) | −4.16842e9 | − | 3.02854e9i | −0.937013 | − | 0.680779i | 0.0106871 | − | 0.999943i | \(-0.496598\pi\) |
−0.947700 | + | 0.319163i | \(0.896598\pi\) | |||||||
\(572\) | 3.13535e8 | − | 4.31544e8i | 0.0700487 | − | 0.0964138i | ||||
\(573\) | −2.27373e9 | − | 7.38781e8i | −0.504892 | − | 0.164049i | ||||
\(574\) | −1.27527e9 | −0.281456 | ||||||||
\(575\) | −3.22659e8 | − | 6.79455e8i | −0.0707793 | − | 0.149047i | ||||
\(576\) | 5.32470e9 | 1.16096 | ||||||||
\(577\) | −6.24522e9 | − | 2.02920e9i | −1.35342 | − | 0.439753i | −0.459579 | − | 0.888137i | \(-0.652000\pi\) |
−0.893841 | + | 0.448384i | \(0.852000\pi\) | |||||||
\(578\) | −1.73644e9 | + | 2.39000e9i | −0.374035 | + | 0.514815i | ||||
\(579\) | 2.18689e9 | + | 1.58887e9i | 0.468222 | + | 0.340183i | ||||
\(580\) | 7.72120e9 | + | 7.16135e8i | 1.64319 | + | 0.152404i | ||||
\(581\) | −5.60481e7 | + | 4.07213e7i | −0.0118562 | + | 0.00861401i | ||||
\(582\) | 4.84732e9i | 1.01923i | ||||||||
\(583\) | −3.88404e8 | − | 5.34592e8i | −0.0811790 | − | 0.111733i | ||||
\(584\) | −1.48005e9 | − | 4.55512e9i | −0.307490 | − | 0.946358i | ||||
\(585\) | −3.42300e9 | + | 7.71471e8i | −0.706906 | + | 0.159321i | ||||
\(586\) | 2.02460e9 | − | 6.23108e9i | 0.415621 | − | 1.27915i | ||||
\(587\) | 5.13875e9 | − | 1.66968e9i | 1.04863 | − | 0.340722i | 0.266502 | − | 0.963834i | \(-0.414132\pi\) |
0.782132 | + | 0.623112i | \(0.214132\pi\) | |||||||
\(588\) | 1.09362e9 | − | 3.55340e8i | 0.221844 | − | 0.0720814i | ||||
\(589\) | 1.91515e9 | − | 5.89422e9i | 0.386188 | − | 1.18856i | ||||
\(590\) | −8.68699e8 | − | 3.74102e8i | −0.174135 | − | 0.0749909i | ||||
\(591\) | 1.18471e8 | + | 3.64615e8i | 0.0236078 | + | 0.0726572i | ||||
\(592\) | −2.80655e8 | − | 3.86288e8i | −0.0555964 | − | 0.0765218i | ||||
\(593\) | − | 1.05787e8i | − | 0.0208324i | −0.999946 | − | 0.0104162i | \(-0.996684\pi\) | ||
0.999946 | − | 0.0104162i | \(-0.00331564\pi\) | |||||||
\(594\) | −4.41205e8 | + | 3.20555e8i | −0.0863751 | + | 0.0627552i | ||||
\(595\) | 9.92910e8 | + | 4.40552e9i | 0.193242 | + | 0.857409i | ||||
\(596\) | −7.75635e9 | − | 5.63532e9i | −1.50071 | − | 1.09033i | ||||
\(597\) | 1.18238e9 | − | 1.62740e9i | 0.227429 | − | 0.313029i | ||||
\(598\) | 1.33827e9 | + | 4.34832e8i | 0.255912 | + | 0.0831509i | ||||
\(599\) | −8.45951e9 | −1.60824 | −0.804121 | − | 0.594465i | \(-0.797364\pi\) | ||||
−0.804121 | + | 0.594465i | \(0.797364\pi\) | |||||||
\(600\) | −1.99646e9 | − | 2.11105e9i | −0.377339 | − | 0.398997i | ||||
\(601\) | −1.01316e9 | −0.190379 | −0.0951894 | − | 0.995459i | \(-0.530346\pi\) | ||||
−0.0951894 | + | 0.995459i | \(0.530346\pi\) | |||||||
\(602\) | 7.86855e9 | + | 2.55665e9i | 1.46997 | + | 0.477621i | ||||
\(603\) | −5.84422e8 | + | 8.04388e8i | −0.108547 | + | 0.149402i | ||||
\(604\) | −3.65600e9 | − | 2.65624e9i | −0.675114 | − | 0.490499i | ||||
\(605\) | 4.65889e9 | − | 2.76636e9i | 0.855340 | − | 0.507884i | ||||
\(606\) | 3.41136e9 | − | 2.47850e9i | 0.622692 | − | 0.452412i | ||||
\(607\) | − | 3.34168e9i | − | 0.606464i | −0.952917 | − | 0.303232i | \(-0.901934\pi\) | ||
0.952917 | − | 0.303232i | \(-0.0980656\pi\) | |||||||
\(608\) | −5.00562e9 | − | 6.88964e9i | −0.903223 | − | 1.24318i | ||||
\(609\) | 1.02884e9 | + | 3.16644e9i | 0.184581 | + | 0.568081i | ||||
\(610\) | 2.13830e9 | + | 3.60117e9i | 0.381430 | + | 0.642376i | ||||
\(611\) | −1.07658e9 | + | 3.31336e9i | −0.190942 | + | 0.587658i | ||||
\(612\) | 4.98500e9 | − | 1.61973e9i | 0.879094 | − | 0.285635i | ||||
\(613\) | −7.17341e9 | + | 2.33078e9i | −1.25781 | + | 0.408686i | −0.860713 | − | 0.509091i | \(-0.829982\pi\) |
−0.397095 | + | 0.917778i | \(0.629982\pi\) | |||||||
\(614\) | −2.44130e9 | + | 7.51356e9i | −0.425630 | + | 1.30996i | ||||
\(615\) | −3.08472e8 | + | 3.51139e8i | −0.0534753 | + | 0.0608718i | ||||
\(616\) | −1.52290e8 | − | 4.68701e8i | −0.0262506 | − | 0.0807911i | ||||
\(617\) | 9.80170e7 | + | 1.34909e8i | 0.0167998 | + | 0.0231229i | 0.817334 | − | 0.576164i | \(-0.195451\pi\) |
−0.800534 | + | 0.599287i | \(0.795451\pi\) | |||||||
\(618\) | 2.60528e9i | 0.444012i | ||||||||
\(619\) | 2.68571e9 | − | 1.95128e9i | 0.455136 | − | 0.330676i | −0.336484 | − | 0.941689i | \(-0.609238\pi\) |
0.791620 | + | 0.611013i | \(0.209238\pi\) | |||||||
\(620\) | −2.99891e9 | + | 6.96374e9i | −0.505351 | + | 1.17347i | ||||
\(621\) | −7.23196e8 | − | 5.25433e8i | −0.121181 | − | 0.0880433i | ||||
\(622\) | 4.92912e9 | − | 6.78435e9i | 0.821302 | − | 1.13042i | ||||
\(623\) | −5.97882e9 | − | 1.94264e9i | −0.990621 | − | 0.321872i | ||||
\(624\) | 1.66832e8 | 0.0274875 | ||||||||
\(625\) | −3.40271e8 | + | 6.09402e9i | −0.0557500 | + | 0.998445i | ||||
\(626\) | −8.31992e8 | −0.135553 | ||||||||
\(627\) | 3.59455e8 | + | 1.16794e8i | 0.0582382 | + | 0.0189228i | ||||
\(628\) | −6.85108e9 | + | 9.42971e9i | −1.10383 | + | 1.51929i | ||||
\(629\) | 7.16943e9 | + | 5.20890e9i | 1.14870 | + | 0.834581i | ||||
\(630\) | −3.28249e9 | + | 7.62222e9i | −0.523011 | + | 1.21448i | ||||
\(631\) | −4.52710e9 | + | 3.28913e9i | −0.717327 | + | 0.521169i | −0.885529 | − | 0.464584i | \(-0.846204\pi\) |
0.168202 | + | 0.985753i | \(0.446204\pi\) | |||||||
\(632\) | 1.25740e10i | 1.98135i | ||||||||
\(633\) | −1.35005e9 | − | 1.85818e9i | −0.211561 | − | 0.291189i | ||||
\(634\) | −1.86363e9 | − | 5.73566e9i | −0.290434 | − | 0.893863i | ||||
\(635\) | 2.51504e9 | − | 2.86291e9i | 0.389796 | − | 0.443711i | ||||
\(636\) | 3.30988e9 | − | 1.01868e10i | 0.510167 | − | 1.57013i | ||||
\(637\) | 1.67880e9 | − | 5.45475e8i | 0.257342 | − | 0.0836155i | ||||
\(638\) | 7.37806e8 | − | 2.39728e8i | 0.112479 | − | 0.0365465i | ||||
\(639\) | 2.35081e9 | − | 7.23504e9i | 0.356422 | − | 1.09695i | ||||
\(640\) | 5.60517e9 | + | 9.43979e9i | 0.845198 | + | 1.42342i | ||||
\(641\) | 1.45255e9 | + | 4.47049e9i | 0.217835 | + | 0.670428i | 0.998940 | + | 0.0460282i | \(0.0146564\pi\) |
−0.781105 | + | 0.624400i | \(0.785344\pi\) | |||||||
\(642\) | −3.39518e9 | − | 4.67307e9i | −0.506396 | − | 0.696994i | ||||
\(643\) | 1.86444e9i | 0.276573i | 0.990392 | + | 0.138286i | \(0.0441594\pi\) | ||||
−0.990392 | + | 0.138286i | \(0.955841\pi\) | |||||||
\(644\) | 1.67301e9 | − | 1.21551e9i | 0.246830 | − | 0.179332i | ||||
\(645\) | 2.60727e9 | − | 1.54815e9i | 0.382584 | − | 0.227171i | ||||
\(646\) | −1.12794e10 | − | 8.19494e9i | −1.64616 | − | 1.19600i | ||||
\(647\) | −7.03636e7 | + | 9.68472e7i | −0.0102137 | + | 0.0140580i | −0.814093 | − | 0.580734i | \(-0.802766\pi\) |
0.803880 | + | 0.594792i | \(0.202766\pi\) | |||||||
\(648\) | 1.67144e9 | + | 5.43085e8i | 0.241312 | + | 0.0784071i | ||||
\(649\) | −5.87959e7 | −0.00844288 | ||||||||
\(650\) | −7.84564e9 | − | 8.29593e9i | −1.12055 | − | 1.18486i | ||||
\(651\) | −3.25541e9 | −0.462458 | ||||||||
\(652\) | −1.55532e10 | − | 5.05355e9i | −2.19763 | − | 0.714053i | ||||
\(653\) | 1.07999e9 | − | 1.48647e9i | 0.151783 | − | 0.208911i | −0.726354 | − | 0.687321i | \(-0.758787\pi\) |
0.878137 | + | 0.478410i | \(0.158787\pi\) | |||||||
\(654\) | −5.37331e8 | − | 3.90394e8i | −0.0751138 | − | 0.0545733i | ||||
\(655\) | −2.58316e9 | − | 1.14614e10i | −0.359176 | − | 1.59366i | ||||
\(656\) | −4.67183e7 | + | 3.39429e7i | −0.00646136 | + | 0.00469445i | ||||
\(657\) | 5.01376e9i | 0.689739i | ||||||||
\(658\) | 4.84328e9 | + | 6.66621e9i | 0.662749 | + | 0.912196i | ||||
\(659\) | 2.15022e9 | + | 6.61771e9i | 0.292674 | + | 0.900759i | 0.983993 | + | 0.178209i | \(0.0570302\pi\) |
−0.691318 | + | 0.722550i | \(0.742970\pi\) | |||||||
\(660\) | −4.24679e8 | − | 1.82887e8i | −0.0574986 | − | 0.0247616i | ||||
\(661\) | −6.61552e7 | + | 2.03605e8i | −0.00890962 | + | 0.0274210i | −0.955412 | − | 0.295274i | \(-0.904589\pi\) |
0.946503 | + | 0.322695i | \(0.104589\pi\) | |||||||
\(662\) | 1.57217e10 | − | 5.10830e9i | 2.10619 | − | 0.684342i | ||||
\(663\) | −2.94483e9 | + | 9.56834e8i | −0.392431 | + | 0.127508i | ||||
\(664\) | −3.15853e7 | + | 9.72097e7i | −0.00418694 | + | 0.0128861i | ||||
\(665\) | 1.33806e10 | − | 3.01571e9i | 1.76442 | − | 0.397662i | ||||
\(666\) | 5.03243e9 | + | 1.54882e10i | 0.660113 | + | 2.03162i | ||||
\(667\) | 7.47428e8 | + | 1.02875e9i | 0.0975279 | + | 0.134236i | ||||
\(668\) | − | 1.34325e10i | − | 1.74357i | ||||||
\(669\) | 9.28327e8 | − | 6.74469e8i | 0.119870 | − | 0.0870904i | ||||
\(670\) | −3.22167e9 | − | 2.98807e8i | −0.413828 | − | 0.0383822i | ||||
\(671\) | 2.10628e8 | + | 1.53030e8i | 0.0269146 | + | 0.0195546i | ||||
\(672\) | −2.62932e9 | + | 3.61895e9i | −0.334234 | + | 0.460034i | ||||
\(673\) | −1.74978e9 | − | 5.68539e8i | −0.221275 | − | 0.0718965i | 0.196282 | − | 0.980548i | \(-0.437113\pi\) |
−0.417556 | + | 0.908651i | \(0.637113\pi\) | |||||||
\(674\) | −3.15489e9 | −0.396894 | ||||||||
\(675\) | 3.11160e9 | + | 6.55241e9i | 0.389422 | + | 0.820045i | ||||
\(676\) | 9.23356e7 | 0.0114962 | ||||||||
\(677\) | 1.53350e10 | + | 4.98265e9i | 1.89943 | + | 0.617163i | 0.966112 | + | 0.258121i | \(0.0831035\pi\) |
0.933321 | + | 0.359042i | \(0.116897\pi\) | |||||||
\(678\) | 7.82475e9 | − | 1.07698e10i | 0.964199 | − | 1.32711i | ||||
\(679\) | 8.84691e9 | + | 6.42766e9i | 1.08455 | + | 0.787968i | ||||
\(680\) | 5.00560e9 | + | 4.39737e9i | 0.610485 | + | 0.536305i | ||||
\(681\) | 4.25498e8 | − | 3.09142e8i | 0.0516277 | − | 0.0375097i | ||||
\(682\) | 7.58536e8i | 0.0915653i | ||||||||
\(683\) | 9.27789e9 | + | 1.27699e10i | 1.11423 | + | 1.53361i | 0.815026 | + | 0.579425i | \(0.196723\pi\) |
0.299209 | + | 0.954188i | \(0.403277\pi\) | |||||||
\(684\) | −4.91950e9 | − | 1.51407e10i | −0.587794 | − | 1.80904i | ||||
\(685\) | −3.23441e8 | + | 3.48727e9i | −0.0384484 | + | 0.414541i | ||||
\(686\) | −3.49446e9 | + | 1.07548e10i | −0.413281 | + | 1.27195i | ||||
\(687\) | −2.24176e9 | + | 7.28391e8i | −0.263779 | + | 0.0857070i | ||||
\(688\) | 3.56306e8 | − | 1.15771e8i | 0.0417122 | − | 0.0135531i | ||||
\(689\) | 5.08093e9 | − | 1.56375e10i | 0.591801 | − | 1.82138i | ||||
\(690\) | 1.12648e8 | − | 1.21455e9i | 0.0130543 | − | 0.140748i | ||||
\(691\) | −2.71163e9 | − | 8.34553e9i | −0.312649 | − | 0.962234i | −0.976711 | − | 0.214557i | \(-0.931169\pi\) |
0.664063 | − | 0.747677i | \(-0.268831\pi\) | |||||||
\(692\) | −6.75051e9 | − | 9.29128e9i | −0.774400 | − | 1.06587i | ||||
\(693\) | 5.15893e8i | 0.0588834i | ||||||||
\(694\) | 3.64480e9 | − | 2.64810e9i | 0.413919 | − | 0.300730i | ||||
\(695\) | −1.08175e10 | − | 9.50305e9i | −1.22231 | − | 1.07378i | ||||
\(696\) | 3.97395e9 | + | 2.88724e9i | 0.446776 | + | 0.324602i | ||||
\(697\) | 6.29973e8 | − | 8.67083e8i | 0.0704705 | − | 0.0969943i | ||||
\(698\) | 6.62498e9 | + | 2.15259e9i | 0.737379 | + | 0.239589i | ||||
\(699\) | 8.10978e8 | 0.0898129 | ||||||||
\(700\) | −1.66405e10 | + | 2.16184e9i | −1.83368 | + | 0.238221i | ||||
\(701\) | −4.79206e9 | −0.525423 | −0.262711 | − | 0.964874i | \(-0.584617\pi\) | ||||
−0.262711 | + | 0.964874i | \(0.584617\pi\) | |||||||
\(702\) | −1.29058e10 | − | 4.19335e9i | −1.40801 | − | 0.457490i | ||||
\(703\) | 1.58207e10 | − | 2.17753e10i | 1.71744 | − | 2.36386i | ||||
\(704\) | 8.71408e8 | + | 6.33115e8i | 0.0941276 | + | 0.0683877i | ||||
\(705\) | 3.00704e9 | + | 2.78900e8i | 0.323204 | + | 0.0299769i | ||||
\(706\) | −1.36176e10 | + | 9.89375e9i | −1.45641 | + | 1.05814i | ||||
\(707\) | − | 9.51268e9i | − | 1.01236i | ||||||
\(708\) | −5.60184e8 | − | 7.71027e8i | −0.0593218 | − | 0.0816494i | ||||
\(709\) | 4.34950e9 | + | 1.33864e10i | 0.458329 | + | 1.41059i | 0.867182 | + | 0.497992i | \(0.165929\pi\) |
−0.408853 | + | 0.912600i | \(0.634071\pi\) | |||||||
\(710\) | 2.41496e10 | − | 5.44279e9i | 2.53224 | − | 0.570713i | ||||
\(711\) | 4.06746e9 | − | 1.25184e10i | 0.424405 | − | 1.30618i | ||||
\(712\) | −8.82096e9 | + | 2.86610e9i | −0.915874 | + | 0.297585i | ||||
\(713\) | −1.18249e9 | + | 3.84215e8i | −0.122176 | + | 0.0396973i | ||||
\(714\) | −2.26305e9 | + | 6.96496e9i | −0.232676 | + | 0.716102i | ||||
\(715\) | −6.51916e8 | − | 2.80746e8i | −0.0666992 | − | 0.0287238i | ||||
\(716\) | −2.06132e9 | − | 6.34408e9i | −0.209869 | − | 0.645912i | ||||
\(717\) | 4.49444e9 | + | 6.18607e9i | 0.455364 | + | 0.626755i | ||||
\(718\) | − | 4.31597e7i | − | 0.00435154i | ||||||
\(719\) | −1.18125e10 | + | 8.58230e9i | −1.18520 | + | 0.861098i | −0.992749 | − | 0.120209i | \(-0.961644\pi\) |
−0.192451 | + | 0.981307i | \(0.561644\pi\) | |||||||
\(720\) | 8.26240e7 | + | 3.66601e8i | 0.00824978 | + | 0.0366041i | ||||
\(721\) | 4.75493e9 | + | 3.45466e9i | 0.472467 | + | 0.343267i | ||||
\(722\) | −1.52298e10 | + | 2.09621e10i | −1.50597 | + | 2.07278i | ||||
\(723\) | −6.34951e9 | − | 2.06308e9i | −0.624822 | − | 0.203017i | ||||
\(724\) | 2.35920e10 | 2.31036 | ||||||||
\(725\) | −1.32933e9 | − | 1.02324e10i | −0.129554 | − | 0.997228i | ||||
\(726\) | 8.78657e9 | 0.852199 | ||||||||
\(727\) | −1.49764e10 | − | 4.86613e9i | −1.44556 | − | 0.469692i | −0.521937 | − | 0.852984i | \(-0.674790\pi\) |
−0.923627 | + | 0.383292i | \(0.874790\pi\) | |||||||
\(728\) | 7.20783e9 | − | 9.92072e9i | 0.692380 | − | 0.952979i | ||||
\(729\) | 2.56143e9 | + | 1.86099e9i | 0.244871 | + | 0.177909i | ||||
\(730\) | −1.40287e10 | + | 8.32995e9i | −1.33471 | + | 0.792524i | ||||
\(731\) | −5.62532e9 | + | 4.08704e9i | −0.532644 | + | 0.386988i | ||||
\(732\) | 4.22011e9i | 0.397681i | ||||||||
\(733\) | 3.68838e9 | + | 5.07662e9i | 0.345917 | + | 0.476114i | 0.946158 | − | 0.323706i | \(-0.104929\pi\) |
−0.600241 | + | 0.799819i | \(0.704929\pi\) | |||||||
\(734\) | −3.11036e8 | − | 9.57271e8i | −0.0290318 | − | 0.0893508i | ||||
\(735\) | −7.81221e8 | − | 1.31567e9i | −0.0725719 | − | 0.122220i | ||||
\(736\) | −5.27950e8 | + | 1.62486e9i | −0.0488113 | + | 0.150226i | ||||
\(737\) | −1.91286e8 | + | 6.21525e7i | −0.0176014 | + | 0.00571903i | ||||
\(738\) | 1.87317e9 | − | 6.08631e8i | 0.171546 | − | 0.0557387i | ||||
\(739\) | −5.58101e9 | + | 1.71766e10i | −0.508695 | + | 1.56560i | 0.285773 | + | 0.958297i | \(0.407750\pi\) |
−0.794468 | + | 0.607305i | \(0.792250\pi\) | |||||||
\(740\) | −2.17325e10 | + | 2.47384e10i | −1.97151 | + | 2.24420i | ||||
\(741\) | 2.90614e9 | + | 8.94418e9i | 0.262393 | + | 0.807563i | ||||
\(742\) | −2.28580e10 | − | 3.14613e10i | −2.05411 | − | 2.82724i | ||||
\(743\) | − | 6.60453e9i | − | 0.590719i | −0.955386 | − | 0.295359i | \(-0.904561\pi\) | ||
0.955386 | − | 0.295359i | \(-0.0954394\pi\) | |||||||
\(744\) | −3.88565e9 | + | 2.82309e9i | −0.345906 | + | 0.251315i | ||||
\(745\) | −5.04598e9 | + | 1.17172e10i | −0.447093 | + | 1.03819i | ||||
\(746\) | 1.21757e10 | + | 8.84618e9i | 1.07376 | + | 0.780135i | ||||
\(747\) | 6.28914e7 | − | 8.65626e7i | 0.00552038 | − | 0.00759816i | ||||
\(748\) | 1.00840e9 | + | 3.27650e8i | 0.0881004 | + | 0.0286256i | ||||
\(749\) | −1.30310e10 | −1.13316 | ||||||||
\(750\) | −5.51998e9 | + | 8.21554e9i | −0.477774 | + | 0.711086i | ||||
\(751\) | 1.77504e10 | 1.52921 | 0.764606 | − | 0.644498i | \(-0.222933\pi\) | ||||
0.764606 | + | 0.644498i | \(0.222933\pi\) | |||||||
\(752\) | 3.54859e8 | + | 1.15301e8i | 0.0304294 | + | 0.00988710i | ||||
\(753\) | −1.57019e9 | + | 2.16118e9i | −0.134020 | + | 0.184463i | ||||
\(754\) | 1.56167e10 | + | 1.13462e10i | 1.32675 | + | 0.963941i | ||||
\(755\) | −2.37845e9 | + | 5.52297e9i | −0.201131 | + | 0.467045i | ||||
\(756\) | −1.61339e10 | + | 1.17219e10i | −1.35804 | + | 0.986673i | ||||
\(757\) | 4.47588e9i | 0.375010i | 0.982264 | + | 0.187505i | \(0.0600401\pi\) | ||||
−0.982264 | + | 0.187505i | \(0.939960\pi\) | |||||||
\(758\) | −7.75095e9 | − | 1.06683e10i | −0.646417 | − | 0.889716i | ||||
\(759\) | −2.34311e7 | − | 7.21134e7i | −0.00194512 | − | 0.00598646i | ||||
\(760\) | 1.33559e10 | − | 1.52032e10i | 1.10363 | − | 1.25629i | ||||
\(761\) | −3.55234e9 | + | 1.09330e10i | −0.292192 | + | 0.899274i | 0.691959 | + | 0.721937i | \(0.256748\pi\) |
−0.984150 | + | 0.177337i | \(0.943252\pi\) | |||||||
\(762\) | 5.87721e9 | − | 1.90962e9i | 0.481204 | − | 0.156353i | ||||
\(763\) | −1.42503e9 | + | 4.63019e8i | −0.116141 | + | 0.0377366i | ||||
\(764\) | −6.29484e9 | + | 1.93735e10i | −0.510691 | + | 1.57174i | ||||
\(765\) | −3.56100e9 | − | 5.99715e9i | −0.287578 | − | 0.484318i | ||||
\(766\) | −4.44645e9 | − | 1.36848e10i | −0.357448 | − | 1.10011i | ||||
\(767\) | −8.59927e8 | − | 1.18359e9i | −0.0688141 | − | 0.0947145i | ||||
\(768\) | 7.16400e9i | 0.570678i | ||||||||
\(769\) | 1.39011e10 | − | 1.00997e10i | 1.10231 | − | 0.800878i | 0.120878 | − | 0.992667i | \(-0.461429\pi\) |
0.981436 | + | 0.191789i | \(0.0614290\pi\) | |||||||
\(770\) | −1.44348e9 | + | 8.57113e8i | −0.113945 | + | 0.0676582i | ||||
\(771\) | 5.20675e9 | + | 3.78292e9i | 0.409144 | + | 0.297260i | ||||
\(772\) | 1.35381e10 | − | 1.86336e10i | 1.05900 | − | 1.45759i | ||||
\(773\) | −1.63763e10 | − | 5.32099e9i | −1.27523 | − | 0.414347i | −0.408331 | − | 0.912834i | \(-0.633889\pi\) |
−0.866897 | + | 0.498487i | \(0.833889\pi\) | |||||||
\(774\) | −1.27779e10 | −0.990524 | ||||||||
\(775\) | 9.91700e9 | + | 1.85555e9i | 0.765287 | + | 0.143191i | ||||
\(776\) | 1.61337e10 | 1.23942 | ||||||||
\(777\) | −1.34462e10 | − | 4.36893e9i | −1.02831 | − | 0.334119i | ||||
\(778\) | −1.30846e9 | + | 1.80093e9i | −0.0996163 | + | 0.137110i | ||||
\(779\) | −2.63355e9 | − | 1.91338e9i | −0.199600 | − | 0.145018i | ||||
\(780\) | −2.52961e9 | − | 1.12238e10i | −0.190863 | − | 0.846856i | ||||
\(781\) | 1.24498e9 | − | 9.04527e8i | 0.0935152 | − | 0.0679427i | ||||
\(782\) | 2.79704e9i | 0.209158i | ||||||||
\(783\) | −7.20792e9 | − | 9.92085e9i | −0.536591 | − | 0.738554i | ||||
\(784\) | −5.84199e7 | − | 1.79798e8i | −0.00432967 | − | 0.0133254i | ||||
\(785\) | 1.42451e10 | + | 6.13460e9i | 1.05104 | + | 0.452629i | ||||
\(786\) | 5.88757e9 | − | 1.81201e10i | 0.432472 | − | 1.33101i | ||||
\(787\) | 1.06931e10 | − | 3.47441e9i | 0.781977 | − | 0.254080i | 0.109293 | − | 0.994010i | \(-0.465141\pi\) |
0.672684 | + | 0.739930i | \(0.265141\pi\) | |||||||
\(788\) | 3.10673e9 | − | 1.00944e9i | 0.226184 | − | 0.0734917i | ||||
\(789\) | 2.59104e9 | − | 7.97440e9i | 0.187804 | − | 0.578001i | ||||
\(790\) | 4.17846e10 | − | 9.41734e9i | 3.01523 | − | 0.679569i | ||||
\(791\) | −9.28040e9 | − | 2.85621e10i | −0.666729 | − | 2.05198i | ||||
\(792\) | 4.47382e8 | + | 6.15768e8i | 0.0319993 | + | 0.0440432i | ||||
\(793\) | 6.47821e9i | 0.461316i | ||||||||
\(794\) | 1.97746e10 | − | 1.43671e10i | 1.40196 | − | 1.01859i | ||||
\(795\) | −1.41918e10 | − | 1.31628e9i | −1.00173 | − | 0.0929099i | ||||
\(796\) | −1.38664e10 | − | 1.00745e10i | −0.974468 | − | 0.707992i | ||||
\(797\) | −1.13669e10 | + | 1.56452e10i | −0.795314 | + | 1.09466i | 0.198112 | + | 0.980179i | \(0.436519\pi\) |
−0.993426 | + | 0.114476i | \(0.963481\pi\) | |||||||
\(798\) | 2.11543e10 | + | 6.87345e9i | 1.47363 | + | 0.478812i | ||||
\(799\) | −6.92504e9 | −0.480296 | ||||||||
\(800\) | 1.00725e10 | − | 9.52577e9i | 0.695540 | − | 0.657787i | ||||
\(801\) | 9.70910e9 | 0.667521 | ||||||||
\(802\) | 1.33814e10 | + | 4.34789e9i | 0.915993 | + | 0.297624i | ||||
\(803\) | −5.96143e8 | + | 8.20520e8i | −0.0406299 | + | 0.0559223i | ||||
\(804\) | −2.63754e9 | − | 1.91628e9i | −0.178979 | − | 0.130036i | ||||
\(805\) | −2.06732e9 | − | 1.81612e9i | −0.139676 | − | 0.122704i | ||||
\(806\) | −1.52697e10 | + | 1.10941e10i | −1.02721 | + | 0.746308i | ||||
\(807\) | − | 7.25777e9i | − | 0.486123i | ||||||
\(808\) | −8.24939e9 | − | 1.13543e10i | −0.550151 | − | 0.757218i | ||||
\(809\) | −3.96809e9 | − | 1.22125e10i | −0.263488 | − | 0.810934i | −0.992038 | − | 0.125941i | \(-0.959805\pi\) |
0.728549 | − | 0.684993i | \(-0.240195\pi\) | |||||||
\(810\) | 5.52889e8 | − | 5.96113e9i | 0.0365545 | − | 0.394122i | ||||
\(811\) | −3.71060e9 | + | 1.14200e10i | −0.244270 | + | 0.751787i | 0.751485 | + | 0.659750i | \(0.229338\pi\) |
−0.995756 | + | 0.0920368i | \(0.970662\pi\) | |||||||
\(812\) | 2.69799e10 | − | 8.76629e9i | 1.76845 | − | 0.574606i | ||||
\(813\) | −4.30709e8 | + | 1.39946e8i | −0.0281104 | + | 0.00913362i | ||||
\(814\) | −1.01800e9 | + | 3.13307e9i | −0.0661547 | + | 0.203603i | ||||
\(815\) | −2.00970e9 | + | 2.16681e10i | −0.130041 | + | 1.40207i | ||||
\(816\) | 1.02476e8 | + | 3.15389e8i | 0.00660248 | + | 0.0203203i | ||||
\(817\) | 1.24133e10 | + | 1.70855e10i | 0.796364 | + | 1.09610i | ||||
\(818\) | 2.18943e10i | 1.39860i | ||||||||
\(819\) | −1.03851e10 | + | 7.54525e9i | −0.660570 | + | 0.479932i | ||||
\(820\) | 2.99191e9 | + | 2.62836e9i | 0.189496 | + | 0.166470i | ||||
\(821\) | 7.72272e9 | + | 5.61089e9i | 0.487045 | + | 0.353859i | 0.804047 | − | 0.594566i | \(-0.202676\pi\) |
−0.317002 | + | 0.948425i | \(0.602676\pi\) | |||||||
\(822\) | −3.33826e9 | + | 4.59472e9i | −0.209637 | + | 0.288541i | ||||
\(823\) | 2.36304e10 | + | 7.67797e9i | 1.47765 | + | 0.480117i | 0.933409 | − | 0.358813i | \(-0.116819\pi\) |
0.544239 | + | 0.838930i | \(0.316819\pi\) | |||||||
\(824\) | 8.67136e9 | 0.539935 | ||||||||
\(825\) | −1.13159e8 | + | 6.04782e8i | −0.00701620 | + | 0.0374982i | ||||
\(826\) | −3.46020e9 | −0.213634 | ||||||||
\(827\) | −3.88985e9 | − | 1.26389e9i | −0.239146 | − | 0.0777033i | 0.186992 | − | 0.982361i | \(-0.440126\pi\) |
−0.426138 | + | 0.904658i | \(0.640126\pi\) | |||||||
\(828\) | −1.87728e9 | + | 2.58386e9i | −0.114927 | + | 0.158184i | ||||
\(829\) | −2.17511e10 | − | 1.58031e10i | −1.32599 | − | 0.963389i | −0.999837 | − | 0.0180720i | \(-0.994247\pi\) |
−0.326154 | − | 0.945317i | \(-0.605753\pi\) | |||||||
\(830\) | 3.46694e8 | + | 3.21556e7i | 0.0210462 | + | 0.00195201i | ||||
\(831\) | −1.14290e10 | + | 8.30364e9i | −0.690882 | + | 0.501955i | ||||
\(832\) | 2.68015e10i | 1.61335i | ||||||||
\(833\) | 2.06239e9 | + | 2.83864e9i | 0.123627 | + | 0.170158i | ||||
\(834\) | −7.21548e9 | − | 2.22070e10i | −0.430709 | − | 1.32559i | ||||
\(835\) | −1.74367e10 | + | 3.92987e9i | −1.03648 | + | 0.233601i | ||||
\(836\) | 9.95152e8 | − | 3.06276e9i | 0.0589071 | − | 0.181297i | ||||
\(837\) | 1.14035e10 | − | 3.70522e9i | 0.672201 | − | 0.218411i | ||||
\(838\) | −3.27723e10 | + | 1.06484e10i | −1.92377 | + | 0.625070i | ||||
\(839\) | 9.19449e9 | − | 2.82977e10i | 0.537478 | − | 1.65419i | −0.200755 | − | 0.979641i | \(-0.564340\pi\) |
0.738233 | − | 0.674545i | \(-0.235660\pi\) | |||||||
\(840\) | −9.76291e9 | − | 4.20436e9i | −0.568331 | − | 0.244750i | ||||
\(841\) | 5.99566e7 | + | 1.84527e8i | 0.00347577 | + | 0.0106973i | ||||
\(842\) | 1.85250e10 | + | 2.54974e10i | 1.06946 | + | 1.47199i | ||||
\(843\) | − | 4.18042e8i | − | 0.0240338i | ||||||
\(844\) | −1.58328e10 | + | 1.15032e10i | −0.906481 | + | 0.658597i | ||||
\(845\) | −2.70140e7 | − | 1.19861e8i | −0.00154025 | − | 0.00683406i | ||||
\(846\) | −1.02955e10 | − | 7.48013e9i | −0.584591 | − | 0.424730i | ||||
\(847\) | 1.16512e10 | − | 1.60365e10i | 0.658838 | − | 0.906813i | ||||
\(848\) | −1.67476e9 | − | 5.44163e8i | −0.0943122 | − | 0.0306439i | ||||
\(849\) | 1.17731e10 | 0.660258 | ||||||||
\(850\) | 1.08639e10 | − | 1.99276e10i | 0.606765 | − | 1.11298i | ||||
\(851\) | −5.39981e9 | −0.300348 | ||||||||
\(852\) | 2.37233e10 | + | 7.70815e9i | 1.31412 | + | 0.426984i | ||||
\(853\) | 4.05490e9 | − | 5.58109e9i | 0.223696 | − | 0.307891i | −0.682387 | − | 0.730991i | \(-0.739058\pi\) |
0.906083 | + | 0.423100i | \(0.139058\pi\) | |||||||
\(854\) | 1.23957e10 | + | 9.00600e9i | 0.681033 | + | 0.494799i | ||||
\(855\) | −1.82148e10 | + | 1.08156e10i | −0.996653 | + | 0.591793i | ||||
\(856\) | −1.55537e10 | + | 1.13005e10i | −0.847572 | + | 0.615797i | ||||
\(857\) | − | 1.39676e10i | − | 0.758033i | −0.925390 | − | 0.379016i | \(-0.876262\pi\) | ||
0.925390 | − | 0.379016i | \(-0.123738\pi\) | |||||||
\(858\) | −6.76565e8 | − | 9.31211e8i | −0.0365682 | − | 0.0503318i | ||||
\(859\) | 3.60021e9 | + | 1.10803e10i | 0.193799 | + | 0.596452i | 0.999989 | + | 0.00479460i | \(0.00152617\pi\) |
−0.806189 | + | 0.591657i | \(0.798474\pi\) | |||||||
\(860\) | −1.31911e10 | − | 2.22154e10i | −0.707190 | − | 1.19100i | ||||
\(861\) | −5.28386e8 | + | 1.62620e9i | −0.0282124 | + | 0.0868288i | ||||
\(862\) | −2.50744e10 | + | 8.14717e9i | −1.33338 | + | 0.433243i | ||||
\(863\) | 4.07855e9 | − | 1.32520e9i | 0.216007 | − | 0.0701850i | −0.199014 | − | 0.979997i | \(-0.563774\pi\) |
0.415022 | + | 0.909812i | \(0.363774\pi\) | |||||||
\(864\) | 5.09135e9 | − | 1.56696e10i | 0.268556 | − | 0.826531i | ||||
\(865\) | −1.00861e10 | + | 1.14811e10i | −0.529865 | + | 0.603154i | ||||
\(866\) | −5.11333e9 | − | 1.57372e10i | −0.267541 | − | 0.823408i | ||||
\(867\) | 2.32823e9 | + | 3.20454e9i | 0.121328 | + | 0.166993i | ||||
\(868\) | 2.77379e10i | 1.43964i | ||||||||
\(869\) | 2.15411e9 | − | 1.56505e9i | 0.111352 | − | 0.0809020i | ||||
\(870\) | 6.61830e9 | − | 1.53683e10i | 0.340745 | − | 0.791239i | ||||
\(871\) | −4.04883e9 | − | 2.94165e9i | −0.207619 | − | 0.150844i | ||||
\(872\) | −1.29938e9 | + | 1.78844e9i | −0.0663633 | + | 0.0913412i | ||||
\(873\) | −1.60624e10 | − | 5.21899e9i | −0.817072 | − | 0.265483i | ||||
\(874\) | 8.49530e9 | 0.430416 | ||||||||
\(875\) | 7.67470e9 | + | 2.09686e10i | 0.387287 | + | 1.05814i | ||||
\(876\) | −1.64398e10 | −0.826290 | ||||||||
\(877\) | −8.32916e9 | − | 2.70631e9i | −0.416968 | − | 0.135481i | 0.0930167 | − | 0.995665i | \(-0.470349\pi\) |
−0.509985 | + | 0.860183i | \(0.670349\pi\) | |||||||
\(878\) | −2.24262e10 | + | 3.08671e10i | −1.11822 | + | 1.53909i | ||||
\(879\) | −7.10692e9 | − | 5.16348e9i | −0.352956 | − | 0.256437i | ||||
\(880\) | −3.00676e7 | + | 6.98197e7i | −0.00148734 | + | 0.00345373i | ||||
\(881\) | 1.50828e10 | − | 1.09583e10i | 0.743131 | − | 0.539916i | −0.150559 | − | 0.988601i | \(-0.548107\pi\) |
0.893690 | + | 0.448685i | \(0.148107\pi\) | |||||||
\(882\) | 6.44793e9i | 0.316432i | ||||||||
\(883\) | −7.47778e9 | − | 1.02923e10i | −0.365519 | − | 0.503094i | 0.586157 | − | 0.810198i | \(-0.300640\pi\) |
−0.951676 | + | 0.307103i | \(0.900640\pi\) | |||||||
\(884\) | 8.15277e9 | + | 2.50917e10i | 0.396938 | + | 1.22165i | ||||
\(885\) | −8.36980e8 | + | 9.52749e8i | −0.0405895 | + | 0.0462037i | ||||
\(886\) | 1.56971e10 | − | 4.83107e10i | 0.758231 | − | 2.33360i | ||||
\(887\) | 2.12907e10 | − | 6.91777e9i | 1.02437 | − | 0.332838i | 0.251808 | − | 0.967777i | \(-0.418975\pi\) |
0.772562 | + | 0.634939i | \(0.218975\pi\) | |||||||
\(888\) | −1.98381e10 | + | 6.44578e9i | −0.950723 | + | 0.308908i | ||||
\(889\) | 4.30804e9 | − | 1.32588e10i | 0.205648 | − | 0.632919i | ||||
\(890\) | 1.61309e10 | + | 2.71664e10i | 0.766995 | + | 1.29171i | ||||
\(891\) | −1.15002e8 | − | 3.53940e8i | −0.00544670 | − | 0.0167632i | ||||
\(892\) | −5.74686e9 | − | 7.90988e9i | −0.271115 | − | 0.373158i | ||||
\(893\) | 2.10331e10i | 0.988376i | ||||||||
\(894\) | −1.67371e10 | + | 1.21602e10i | −0.783428 | + | 0.569194i | ||||
\(895\) | −7.63218e9 | + | 4.53184e9i | −0.355851 | + | 0.211297i | ||||
\(896\) | 3.24930e10 | + | 2.36075e10i | 1.50908 | + | 1.09641i | ||||
\(897\) | 1.10898e9 | − | 1.52638e9i | 0.0513039 | − | 0.0706138i | ||||
\(898\) | 1.13125e10 | + | 3.67565e9i | 0.521303 | + | 0.169382i | ||||
\(899\) | −1.70563e10 | −0.782934 | ||||||||
\(900\) | 2.34106e10 | − | 1.11172e10i | 1.07044 | − | 0.508332i | ||||
\(901\) | 3.26829e10 | 1.48862 | ||||||||
\(902\) | 3.78919e8 | + | 1.23118e8i | 0.0171919 | + | 0.00558598i | ||||
\(903\) | 6.52040e9 | − | 8.97456e9i | 0.294691 | − | 0.405607i | ||||
\(904\) | −3.58461e10 | − | 2.60437e10i | −1.61381 | − | 1.17250i | ||||
\(905\) | −6.90217e9 | − | 3.06248e10i | −0.309539 | − | 1.37342i | ||||
\(906\) | −7.88914e9 | + | 5.73179e9i | −0.352436 | + | 0.256060i | ||||
\(907\) | 3.60249e10i | 1.60316i | 0.597886 | + | 0.801581i | \(0.296008\pi\) | ||||
−0.597886 | + | 0.801581i | \(0.703992\pi\) | |||||||
\(908\) | −2.63407e9 | − | 3.62549e9i | −0.116769 | − | 0.160718i | ||||
\(909\) | 4.53999e9 | + | 1.39727e10i | 0.200485 | + | 0.617029i | ||||
\(910\) | −3.83659e10 | − | 1.65222e10i | −1.68772 | − | 0.726812i | ||||
\(911\) | 7.53830e9 | − | 2.32005e10i | 0.330338 | − | 1.01668i | −0.638635 | − | 0.769510i | \(-0.720500\pi\) |
0.968973 | − | 0.247167i | \(-0.0794995\pi\) | |||||||
\(912\) | 9.57914e8 | − | 3.11245e8i | 0.0418162 | − | 0.0135869i | ||||
\(913\) | 2.05848e7 | − | 6.68842e6i | 0.000895158 | − | 0.000290854i | ||||
\(914\) | −7.21617e8 | + | 2.22091e9i | −0.0312604 | + | 0.0962098i | ||||
\(915\) | 5.47813e9 | − | 1.23465e9i | 0.236406 | − | 0.0532808i | ||||
\(916\) | 6.20631e9 | + | 1.91011e10i | 0.266808 | + | 0.821152i | ||||
\(917\) | −2.52642e10 | − | 3.47732e10i | −1.08196 | − | 1.48920i | ||||
\(918\) | − | 2.69736e10i | − | 1.15077i | ||||||
\(919\) | −1.64816e10 | + | 1.19746e10i | −0.700478 | + | 0.508927i | −0.880088 | − | 0.474811i | \(-0.842516\pi\) |
0.179610 | + | 0.983738i | \(0.442516\pi\) | |||||||
\(920\) | −4.04248e9 | − | 3.74937e8i | −0.171155 | − | 0.0158745i | ||||
\(921\) | 8.56967e9 | + | 6.22623e9i | 0.361456 | + | 0.262613i | ||||
\(922\) | 1.63758e10 | − | 2.25393e10i | 0.688087 | − | 0.947071i | ||||
\(923\) | 3.64171e10 | + | 1.18326e10i | 1.52440 | + | 0.495308i | ||||
\(924\) | −1.69158e9 | −0.0705409 | ||||||||
\(925\) | 3.84711e10 | + | 2.09733e10i | 1.59823 | + | 0.871307i | ||||
\(926\) | 1.16108e10 | 0.480533 | ||||||||
\(927\) | −8.63302e9 | − | 2.80504e9i | −0.355946 | − | 0.115654i | ||||
\(928\) | −1.37760e10 | + | 1.89610e10i | −0.565854 | + | 0.778831i | ||||
\(929\) | −3.53109e10 | − | 2.56549e10i | −1.44496 | − | 1.04982i | −0.986978 | − | 0.160857i | \(-0.948574\pi\) |
−0.457977 | − | 0.888964i | \(-0.651426\pi\) | |||||||
\(930\) | 1.22916e10 | + | 1.07980e10i | 0.501092 | + | 0.440204i | ||||
\(931\) | 8.62163e9 | − | 6.26398e9i | 0.350159 | − | 0.254406i | ||||
\(932\) | − | 6.91000e9i | − | 0.279590i | ||||||
\(933\) | −6.60900e9 | − | 9.09651e9i | −0.266410 | − | 0.366682i | ||||
\(934\) | 2.15617e9 | + | 6.63600e9i | 0.0865901 | + | 0.266497i | ||||
\(935\) | 1.30300e8 | − | 1.40486e9i | 0.00521319 | − | 0.0562074i | ||||
\(936\) | −5.85245e9 | + | 1.80120e10i | −0.233277 | + | 0.717953i | ||||
\(937\) | −2.39264e10 | + | 7.77416e9i | −0.950143 | + | 0.308720i | −0.742774 | − | 0.669542i | \(-0.766490\pi\) |
−0.207370 | + | 0.978263i | \(0.566490\pi\) | |||||||
\(938\) | −1.12574e10 | + | 3.65774e9i | −0.445376 | + | 0.144711i | ||||
\(939\) | −3.44721e8 | + | 1.06094e9i | −0.0135875 | + | 0.0418179i | ||||
\(940\) | 2.37639e9 | − | 2.56217e10i | 0.0933191 | − | 1.00614i | ||||
\(941\) | 9.31046e9 | + | 2.86546e10i | 0.364257 | + | 1.12107i | 0.950445 | + | 0.310892i | \(0.100628\pi\) |
−0.586189 | + | 0.810175i | \(0.699372\pi\) | |||||||
\(942\) | 1.47837e10 | + | 2.03480e10i | 0.576241 | + | 0.793128i | ||||
\(943\) | 6.53062e8i | 0.0253609i | ||||||||
\(944\) | −1.26761e8 | + | 9.20975e7i | −0.00490439 | + | 0.00356324i | ||||
\(945\) | 1.99364e10 | + | 1.75140e10i | 0.768487 | + | 0.675108i | ||||
\(946\) | −2.09115e9 | − | 1.51931e9i | −0.0803092 | − | 0.0583480i | ||||
\(947\) | −7.00568e9 | + | 9.64250e9i | −0.268056 | + | 0.368948i | −0.921732 | − | 0.387827i | \(-0.873226\pi\) |
0.653676 | + | 0.756774i | \(0.273226\pi\) | |||||||
\(948\) | 4.10470e10 | + | 1.33370e10i | 1.56477 | + | 0.508426i | ||||
\(949\) | −2.52364e10 | −0.958508 | ||||||||
\(950\) | −6.05249e10 | − | 3.29964e10i | −2.29035 | − | 1.24863i | ||||
\(951\) | −8.08619e9 | −0.304868 | ||||||||
\(952\) | 2.31820e10 | + | 7.53230e9i | 0.870808 | + | 0.282943i | ||||
\(953\) | 6.88486e9 | − | 9.47619e9i | 0.257674 | − | 0.354657i | −0.660507 | − | 0.750820i | \(-0.729658\pi\) |
0.918180 | + | 0.396163i | \(0.129658\pi\) | |||||||
\(954\) | 4.85899e10 | + | 3.53026e10i | 1.81187 | + | 1.31640i | ||||
\(955\) | 2.69904e10 | + | 2.50334e9i | 1.00276 | + | 0.0930053i | ||||
\(956\) | 5.27089e10 | − | 3.82952e10i | 1.95111 | − | 1.41756i | ||||
\(957\) | − | 1.04017e9i | − | 0.0383629i | ||||||
\(958\) | −2.70612e10 | − | 3.72466e10i | −0.994417 | − | 1.36870i | ||||
\(959\) | 3.95928e9 | + | 1.21854e10i | 0.144961 | + | 0.446144i | ||||
\(960\) | 2.26640e10 | − | 5.10798e9i | 0.826775 | − | 0.186337i | ||||
\(961\) | −3.34831e9 | + | 1.03050e10i | −0.121701 | + | 0.374556i | ||||
\(962\) | −7.79589e10 | + | 2.53304e10i | −2.82327 | + | 0.917338i | ||||
\(963\) | 1.91405e10 | − | 6.21912e9i | 0.690655 | − | 0.224407i | ||||
\(964\) | −1.75786e10 | + | 5.41015e10i | −0.631998 | + | 1.94509i | ||||
\(965\) | −2.81490e10 | − | 1.21223e10i | −1.00836 | − | 0.434248i | ||||
\(966\) | −1.37894e9 | − | 4.24395e9i | −0.0492183 | − | 0.151478i | ||||
\(967\) | −1.36802e9 | − | 1.88292e9i | −0.0486520 | − | 0.0669638i | 0.783998 | − | 0.620764i | \(-0.213177\pi\) |
−0.832650 | + | 0.553800i | \(0.813177\pi\) | |||||||
\(968\) | − | 2.92451e10i | − | 1.03631i | ||||||
\(969\) | −1.51235e10 | + | 1.09878e10i | −0.533972 | + | 0.387953i | ||||
\(970\) | −1.20834e10 | − | 5.36140e10i | −0.425099 | − | 1.88615i | ||||
\(971\) | 8.72472e9 | + | 6.33888e9i | 0.305833 | + | 0.222201i | 0.730106 | − | 0.683334i | \(-0.239471\pi\) |
−0.424274 | + | 0.905534i | \(0.639471\pi\) | |||||||
\(972\) | 2.86163e10 | − | 3.93870e10i | 0.999498 | − | 1.37569i | ||||
\(973\) | −5.00982e10 | − | 1.62779e10i | −1.74352 | − | 0.566504i | ||||
\(974\) | 2.50472e10 | 0.868565 | ||||||||
\(975\) | −1.38296e10 | + | 6.56736e9i | −0.477851 | + | 0.226921i | ||||
\(976\) | 6.93811e8 | 0.0238873 | ||||||||
\(977\) | 9.33617e9 | + | 3.03350e9i | 0.320286 | + | 0.104067i | 0.464748 | − | 0.885443i | \(-0.346145\pi\) |
−0.144462 | + | 0.989510i | \(0.546145\pi\) | |||||||
\(978\) | −2.07423e10 | + | 2.85493e10i | −0.709039 | + | 0.975909i | ||||
\(979\) | 1.58893e9 | + | 1.15443e9i | 0.0541210 | + | 0.0393212i | ||||
\(980\) | −1.12103e10 | + | 6.65645e9i | −0.380474 | + | 0.225918i | ||||
\(981\) | 1.87216e9 | − | 1.36021e9i | 0.0633144 | − | 0.0460006i | ||||
\(982\) | 1.73725e10i | 0.585426i | ||||||||
\(983\) | 2.13492e10 | + | 2.93846e10i | 0.716876 | + | 0.986696i | 0.999622 | + | 0.0275006i | \(0.00875481\pi\) |
−0.282746 | + | 0.959195i | \(0.591245\pi\) | |||||||
\(984\) | 7.79563e8 | + | 2.39925e9i | 0.0260836 | + | 0.0802772i | ||||
\(985\) | −2.21927e9 | − | 3.73752e9i | −0.0739918 | − | 0.124611i | ||||
\(986\) | −1.18570e10 | + | 3.64920e10i | −0.393917 | + | 1.21235i | ||||
\(987\) | 1.05074e10 | − | 3.41405e9i | 0.347844 | − | 0.113021i | ||||
\(988\) | 7.62095e10 | − | 2.47620e10i | 2.51397 | − | 0.816838i | ||||
\(989\) | 1.30925e9 | − | 4.02947e9i | 0.0430365 | − | 0.132453i | ||||
\(990\) | 1.71119e9 | − | 1.94788e9i | 0.0560500 | − | 0.0638027i | ||||
\(991\) | −6.01077e9 | − | 1.84992e10i | −0.196188 | − | 0.603804i | −0.999961 | − | 0.00886768i | \(-0.997177\pi\) |
0.803773 | − | 0.594936i | \(-0.202823\pi\) | |||||||
\(992\) | −1.34698e10 | − | 1.85397e10i | −0.438099 | − | 0.602991i | ||||
\(993\) | − | 2.21646e10i | − | 0.718353i | ||||||
\(994\) | 7.32681e10 | − | 5.32324e10i | 2.36626 | − | 1.71919i | ||||
\(995\) | −9.02093e9 | + | 2.09474e10i | −0.290316 | + | 0.674139i | ||||
\(996\) | 2.83833e8 | + | 2.06217e8i | 0.00910240 | + | 0.00661328i | ||||
\(997\) | −3.04870e10 | + | 4.19618e10i | −0.974277 | + | 1.34098i | −0.0344200 | + | 0.999407i | \(0.510958\pi\) |
−0.939857 | + | 0.341569i | \(0.889042\pi\) | |||||||
\(998\) | 1.37094e10 | + | 4.45445e9i | 0.436577 | + | 0.141853i | ||||
\(999\) | 5.20738e10 | 1.65249 |
(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 | 25.8.e.a.4.2 | ✓ | 64 | |
25.12 | odd | 20 | 625.8.a.g.1.59 | 64 | |||
25.13 | odd | 20 | 625.8.a.g.1.6 | 64 | |||
25.19 | even | 10 | inner | 25.8.e.a.19.2 | yes | 64 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
25.8.e.a.4.2 | ✓ | 64 | 1.1 | even | 1 | trivial | |
25.8.e.a.19.2 | yes | 64 | 25.19 | even | 10 | inner | |
625.8.a.g.1.6 | 64 | 25.13 | odd | 20 | |||
625.8.a.g.1.59 | 64 | 25.12 | odd | 20 |