Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [27,8,Mod(4,27)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(27, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 8, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("27.4");
S:= CuspForms(chi, 8);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 27 = 3^{3} \) |
Weight: | \( k \) | \(=\) | \( 8 \) |
Character orbit: | \([\chi]\) | \(=\) | 27.e (of order \(9\), degree \(6\), 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: | \(8.43439568807\) |
Analytic rank: | \(0\) |
Dimension: | \(120\) |
Relative dimension: | \(20\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 4.18 | ||
Character | \(\chi\) | \(=\) | 27.4 |
Dual form | 27.8.e.a.7.18 |
$q$-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 \(\left(\mathbb{Z}/27\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{1}{9}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 16.7921 | + | 6.11184i | 1.48423 | + | 0.540215i | 0.951923 | − | 0.306337i | \(-0.0991035\pi\) |
0.532306 | + | 0.846552i | \(0.321326\pi\) | |||||||
\(3\) | 46.7511 | − | 1.15397i | 0.999696 | − | 0.0246757i | ||||
\(4\) | 146.567 | + | 122.985i | 1.14506 | + | 0.960818i | ||||
\(5\) | −21.3907 | + | 121.313i | −0.0765298 | + | 0.434022i | 0.922335 | + | 0.386391i | \(0.126278\pi\) |
−0.998865 | + | 0.0476313i | \(0.984833\pi\) | |||||||
\(6\) | 792.104 | + | 266.358i | 1.49711 | + | 0.503426i | ||||
\(7\) | −285.632 | + | 239.674i | −0.314748 | + | 0.264105i | −0.786451 | − | 0.617652i | \(-0.788084\pi\) |
0.471703 | + | 0.881758i | \(0.343639\pi\) | |||||||
\(8\) | 565.850 | + | 980.080i | 0.390738 | + | 0.676779i | ||||
\(9\) | 2184.34 | − | 107.899i | 0.998782 | − | 0.0493364i | ||||
\(10\) | −1100.64 | + | 1906.36i | −0.348053 | + | 0.602846i | ||||
\(11\) | −803.430 | − | 4556.48i | −0.182001 | − | 1.03218i | −0.929748 | − | 0.368195i | \(-0.879976\pi\) |
0.747747 | − | 0.663983i | \(-0.231135\pi\) | |||||||
\(12\) | 6994.12 | + | 5580.54i | 1.16842 | + | 0.932270i | ||||
\(13\) | 933.323 | − | 339.702i | 0.117823 | − | 0.0428841i | −0.282436 | − | 0.959286i | \(-0.591142\pi\) |
0.400259 | + | 0.916402i | \(0.368920\pi\) | |||||||
\(14\) | −6261.21 | + | 2278.89i | −0.609832 | + | 0.221961i | ||||
\(15\) | −860.050 | + | 5696.20i | −0.0657967 | + | 0.435778i | ||||
\(16\) | −740.959 | − | 4202.19i | −0.0452245 | − | 0.256481i | ||||
\(17\) | −11166.2 | + | 19340.4i | −0.551231 | + | 0.954761i | 0.446955 | + | 0.894557i | \(0.352508\pi\) |
−0.998186 | + | 0.0602040i | \(0.980825\pi\) | |||||||
\(18\) | 37339.1 | + | 11538.5i | 1.50907 | + | 0.466331i | ||||
\(19\) | −13878.2 | − | 24037.7i | −0.464188 | − | 0.803998i | 0.534976 | − | 0.844867i | \(-0.320321\pi\) |
−0.999164 | + | 0.0408696i | \(0.986987\pi\) | |||||||
\(20\) | −18054.8 | + | 15149.8i | −0.504647 | + | 0.423449i | ||||
\(21\) | −13077.0 | + | 11534.6i | −0.308135 | + | 0.271791i | ||||
\(22\) | 14357.1 | − | 81423.4i | 0.287467 | − | 1.63031i | ||||
\(23\) | 23315.9 | + | 19564.3i | 0.399580 | + | 0.335288i | 0.820331 | − | 0.571888i | \(-0.193789\pi\) |
−0.420751 | + | 0.907176i | \(0.638233\pi\) | |||||||
\(24\) | 27585.1 | + | 45166.9i | 0.407319 | + | 0.666931i | ||||
\(25\) | 59154.2 | + | 21530.4i | 0.757174 | + | 0.275589i | ||||
\(26\) | 17748.7 | 0.198043 | ||||||||
\(27\) | 101996. | − | 7565.05i | 0.997261 | − | 0.0739671i | ||||
\(28\) | −71340.5 | −0.614162 | ||||||||
\(29\) | −146453. | − | 53304.7i | −1.11508 | − | 0.405856i | −0.282226 | − | 0.959348i | \(-0.591073\pi\) |
−0.832855 | + | 0.553492i | \(0.813295\pi\) | |||||||
\(30\) | −49256.3 | + | 90394.8i | −0.333071 | + | 0.611250i | ||||
\(31\) | −245544. | − | 206036.i | −1.48035 | − | 1.24216i | −0.905812 | − | 0.423679i | \(-0.860738\pi\) |
−0.574535 | − | 0.818480i | \(-0.694817\pi\) | |||||||
\(32\) | 38395.0 | − | 217749.i | 0.207133 | − | 1.17471i | ||||
\(33\) | −42819.3 | − | 212093.i | −0.207415 | − | 1.02737i | ||||
\(34\) | −305710. | + | 256521.i | −1.33393 | + | 1.11930i | ||||
\(35\) | −22965.6 | − | 39777.6i | −0.0905399 | − | 0.156820i | ||||
\(36\) | 333423. | + | 252826.i | 1.19107 | + | 0.903155i | ||||
\(37\) | −88195.2 | + | 152759.i | −0.286246 | + | 0.495792i | −0.972911 | − | 0.231182i | \(-0.925741\pi\) |
0.686665 | + | 0.726974i | \(0.259074\pi\) | |||||||
\(38\) | −86129.5 | − | 488465.i | −0.254630 | − | 1.44408i | ||||
\(39\) | 43241.9 | − | 16958.5i | 0.116729 | − | 0.0457784i | ||||
\(40\) | −131000. | + | 47680.2i | −0.323640 | + | 0.117795i | ||||
\(41\) | 456882. | − | 166292.i | 1.03529 | − | 0.376814i | 0.232196 | − | 0.972669i | \(-0.425409\pi\) |
0.803092 | + | 0.595855i | \(0.203187\pi\) | |||||||
\(42\) | −290089. | + | 113766.i | −0.604169 | + | 0.236941i | ||||
\(43\) | 109246. | + | 619565.i | 0.209540 | + | 1.18836i | 0.890134 | + | 0.455698i | \(0.150610\pi\) |
−0.680595 | + | 0.732660i | \(0.738278\pi\) | |||||||
\(44\) | 442620. | − | 766641.i | 0.783334 | − | 1.35677i | ||||
\(45\) | −33635.0 | + | 267296.i | −0.0550235 | + | 0.437269i | ||||
\(46\) | 271949. | + | 471029.i | 0.411941 | + | 0.713503i | ||||
\(47\) | −78494.2 | + | 65864.5i | −0.110280 | + | 0.0925356i | −0.696260 | − | 0.717790i | \(-0.745154\pi\) |
0.585980 | + | 0.810325i | \(0.300710\pi\) | |||||||
\(48\) | −39489.9 | − | 195602.i | −0.0515396 | − | 0.255287i | ||||
\(49\) | −118865. | + | 674115.i | −0.144333 | + | 0.818554i | ||||
\(50\) | 861736. | + | 723082.i | 0.974943 | + | 0.818074i | ||||
\(51\) | −499714. | + | 917072.i | −0.527504 | + | 0.968072i | ||||
\(52\) | 178573. | + | 64995.2i | 0.176118 | + | 0.0641017i | ||||
\(53\) | 2.07437e6 | 1.91391 | 0.956953 | − | 0.290242i | \(-0.0937358\pi\) | ||||
0.956953 | + | 0.290242i | \(0.0937358\pi\) | |||||||
\(54\) | 1.75896e6 | + | 496348.i | 1.52012 | + | 0.428951i | ||||
\(55\) | 569945. | 0.461917 | ||||||||
\(56\) | −396524. | − | 144323.i | −0.301725 | − | 0.109819i | ||||
\(57\) | −676558. | − | 1.10777e6i | −0.483886 | − | 0.792299i | ||||
\(58\) | −2.13347e6 | − | 1.79020e6i | −1.43579 | − | 1.20477i | ||||
\(59\) | −442381. | + | 2.50887e6i | −0.280424 | + | 1.59036i | 0.440764 | + | 0.897623i | \(0.354708\pi\) |
−0.721188 | + | 0.692740i | \(0.756404\pi\) | |||||||
\(60\) | −826600. | + | 729104.i | −0.494045 | + | 0.435773i | ||||
\(61\) | −1.00139e6 | + | 840264.i | −0.564869 | + | 0.473981i | −0.879939 | − | 0.475087i | \(-0.842417\pi\) |
0.315070 | + | 0.949069i | \(0.397972\pi\) | |||||||
\(62\) | −2.86395e6 | − | 4.96051e6i | −1.52614 | − | 2.64335i | ||||
\(63\) | −598056. | + | 554347.i | −0.301335 | + | 0.279312i | ||||
\(64\) | 1.70249e6 | − | 2.94880e6i | 0.811812 | − | 1.40610i | ||||
\(65\) | 21245.7 | + | 120491.i | 0.00959566 | + | 0.0544197i | ||||
\(66\) | 577253. | − | 3.82320e6i | 0.247151 | − | 1.63691i | ||||
\(67\) | −2.45376e6 | + | 893094.i | −0.996712 | + | 0.362773i | −0.788316 | − | 0.615271i | \(-0.789047\pi\) |
−0.208396 | + | 0.978044i | \(0.566824\pi\) | |||||||
\(68\) | −4.01517e6 | + | 1.46140e6i | −1.54854 | + | 0.563624i | ||||
\(69\) | 1.11262e6 | + | 887749.i | 0.407732 | + | 0.325326i | ||||
\(70\) | −142527. | − | 808313.i | −0.0496655 | − | 0.281667i | ||||
\(71\) | 429648. | − | 744172.i | 0.142465 | − | 0.246757i | −0.785959 | − | 0.618278i | \(-0.787830\pi\) |
0.928424 | + | 0.371522i | \(0.121164\pi\) | |||||||
\(72\) | 1.34176e6 | + | 2.07977e6i | 0.423652 | + | 0.656677i | ||||
\(73\) | 1.52805e6 | + | 2.64665e6i | 0.459734 | + | 0.796282i | 0.998947 | − | 0.0458875i | \(-0.0146116\pi\) |
−0.539213 | + | 0.842169i | \(0.681278\pi\) | |||||||
\(74\) | −2.41462e6 | + | 2.02611e6i | −0.692689 | + | 0.581235i | ||||
\(75\) | 2.79037e6 | + | 938308.i | 0.763744 | + | 0.256821i | ||||
\(76\) | 922180. | − | 5.22994e6i | 0.240973 | − | 1.36662i | ||||
\(77\) | 1.32155e6 | + | 1.10891e6i | 0.329888 | + | 0.276809i | ||||
\(78\) | 829771. | − | 20481.4i | 0.197983 | − | 0.00488686i | ||||
\(79\) | −642214. | − | 233747.i | −0.146550 | − | 0.0533397i | 0.267704 | − | 0.963501i | \(-0.413735\pi\) |
−0.414254 | + | 0.910162i | \(0.635957\pi\) | |||||||
\(80\) | 525629. | 0.114779 | ||||||||
\(81\) | 4.75968e6 | − | 471375.i | 0.995132 | − | 0.0985527i | ||||
\(82\) | 8.68838e6 | 1.74016 | ||||||||
\(83\) | 1.46994e6 | + | 535013.i | 0.282179 | + | 0.102705i | 0.479233 | − | 0.877688i | \(-0.340915\pi\) |
−0.197053 | + | 0.980393i | \(0.563137\pi\) | |||||||
\(84\) | −3.33525e6 | + | 82324.8i | −0.613975 | + | 0.0151549i | ||||
\(85\) | −2.10739e6 | − | 1.76831e6i | −0.372202 | − | 0.312314i | ||||
\(86\) | −1.95221e6 | + | 1.10715e7i | −0.330964 | + | 1.87699i | ||||
\(87\) | −6.90837e6 | − | 2.32305e6i | −1.12476 | − | 0.378217i | ||||
\(88\) | 4.01109e6 | − | 3.36571e6i | 0.627442 | − | 0.526486i | ||||
\(89\) | −1.37382e6 | − | 2.37952e6i | −0.206568 | − | 0.357787i | 0.744063 | − | 0.668110i | \(-0.232896\pi\) |
−0.950631 | + | 0.310323i | \(0.899563\pi\) | |||||||
\(90\) | −2.19847e6 | + | 4.28290e6i | −0.317887 | + | 0.619283i | ||||
\(91\) | −185169. | + | 320722.i | −0.0257587 | + | 0.0446154i | ||||
\(92\) | 1.01123e6 | + | 5.73499e6i | 0.135392 | + | 0.767848i | ||||
\(93\) | −1.17172e7 | − | 9.34907e6i | −1.51055 | − | 1.20525i | ||||
\(94\) | −1.72064e6 | + | 626261.i | −0.213669 | + | 0.0777693i | ||||
\(95\) | 3.21294e6 | − | 1.16942e6i | 0.384477 | − | 0.139938i | ||||
\(96\) | 1.54374e6 | − | 1.02243e7i | 0.178083 | − | 1.17947i | ||||
\(97\) | 145687. | + | 826233.i | 0.0162077 | + | 0.0919182i | 0.991839 | − | 0.127500i | \(-0.0406952\pi\) |
−0.975631 | + | 0.219418i | \(0.929584\pi\) | |||||||
\(98\) | −6.11607e6 | + | 1.05933e7i | −0.656419 | + | 1.13695i | ||||
\(99\) | −2.24660e6 | − | 9.86619e6i | −0.232703 | − | 1.02194i | ||||
\(100\) | 6.02218e6 | + | 1.04307e7i | 0.602218 | + | 1.04307i | ||||
\(101\) | 7.18886e6 | − | 6.03217e6i | 0.694281 | − | 0.582571i | −0.225860 | − | 0.974160i | \(-0.572519\pi\) |
0.920140 | + | 0.391589i | \(0.128075\pi\) | |||||||
\(102\) | −1.39963e7 | + | 1.23454e7i | −1.30590 | + | 1.15187i | ||||
\(103\) | 375312. | − | 2.12850e6i | 0.0338425 | − | 0.191930i | −0.963200 | − | 0.268787i | \(-0.913377\pi\) |
0.997042 | + | 0.0768565i | \(0.0244883\pi\) | |||||||
\(104\) | 861056. | + | 722512.i | 0.0750610 | + | 0.0629837i | ||||
\(105\) | −1.11957e6 | − | 1.83315e6i | −0.0943819 | − | 0.154538i | ||||
\(106\) | 3.48331e7 | + | 1.26782e7i | 2.84068 | + | 1.03392i | ||||
\(107\) | 1.80236e7 | 1.42232 | 0.711160 | − | 0.703030i | \(-0.248170\pi\) | ||||
0.711160 | + | 0.703030i | \(0.248170\pi\) | |||||||
\(108\) | 1.58796e7 | + | 1.14351e7i | 1.21299 | + | 0.873489i | ||||
\(109\) | −1.98533e7 | −1.46838 | −0.734191 | − | 0.678943i | \(-0.762438\pi\) | ||||
−0.734191 | + | 0.678943i | \(0.762438\pi\) | |||||||
\(110\) | 9.57060e6 | + | 3.48341e6i | 0.685590 | + | 0.249534i | ||||
\(111\) | −3.94695e6 | + | 7.24341e6i | −0.273925 | + | 0.502705i | ||||
\(112\) | 1.21879e6 | + | 1.02269e6i | 0.0819723 | + | 0.0687830i | ||||
\(113\) | 2.41988e6 | − | 1.37238e7i | 0.157768 | − | 0.894748i | −0.798443 | − | 0.602071i | \(-0.794343\pi\) |
0.956211 | − | 0.292678i | \(-0.0945463\pi\) | |||||||
\(114\) | −4.59033e6 | − | 2.27369e7i | −0.290186 | − | 1.43735i | ||||
\(115\) | −2.87215e6 | + | 2.41002e6i | −0.176102 | + | 0.147767i | ||||
\(116\) | −1.49096e7 | − | 2.58243e7i | −0.886879 | − | 1.53612i | ||||
\(117\) | 2.00204e6 | − | 842728.i | 0.115564 | − | 0.0486448i | ||||
\(118\) | −2.27623e7 | + | 3.94255e7i | −1.27535 | + | 2.20897i | ||||
\(119\) | −1.44597e6 | − | 8.20048e6i | −0.0786581 | − | 0.446092i | ||||
\(120\) | −6.06939e6 | + | 2.38027e6i | −0.320635 | + | 0.125746i | ||||
\(121\) | −1.80404e6 | + | 656617.i | −0.0925758 | + | 0.0336948i | ||||
\(122\) | −2.19510e7 | + | 7.98951e6i | −1.09445 | + | 0.398346i | ||||
\(123\) | 2.11679e7 | − | 8.30155e6i | 1.02567 | − | 0.402246i | ||||
\(124\) | −1.06495e7 | − | 6.03964e7i | −0.501595 | − | 2.84469i | ||||
\(125\) | −8.68915e6 | + | 1.50501e7i | −0.397917 | + | 0.689212i | ||||
\(126\) | −1.34307e7 | + | 5.65345e6i | −0.598139 | + | 0.251777i | ||||
\(127\) | −3.70882e6 | − | 6.42387e6i | −0.160666 | − | 0.278281i | 0.774442 | − | 0.632645i | \(-0.218031\pi\) |
−0.935108 | + | 0.354364i | \(0.884697\pi\) | |||||||
\(128\) | 2.49306e7 | − | 2.09193e7i | 1.05075 | − | 0.881681i | ||||
\(129\) | 5.82234e6 | + | 2.88393e7i | 0.238799 | + | 1.18283i | ||||
\(130\) | −379657. | + | 2.15314e6i | −0.0151562 | + | 0.0859550i | ||||
\(131\) | −7.21665e6 | − | 6.05548e6i | −0.280470 | − | 0.235342i | 0.491690 | − | 0.870770i | \(-0.336379\pi\) |
−0.772160 | + | 0.635428i | \(0.780824\pi\) | |||||||
\(132\) | 1.98083e7 | − | 3.63521e7i | 0.749616 | − | 1.37569i | ||||
\(133\) | 9.72523e6 | + | 3.53970e6i | 0.358442 | + | 0.130462i | ||||
\(134\) | −4.66622e7 | −1.67532 | ||||||||
\(135\) | −1.26402e6 | + | 1.25352e7i | −0.0442168 | + | 0.438494i | ||||
\(136\) | −2.52735e7 | −0.861549 | ||||||||
\(137\) | 3.37379e7 | + | 1.22796e7i | 1.12098 | + | 0.408002i | 0.835008 | − | 0.550238i | \(-0.185463\pi\) |
0.285967 | + | 0.958239i | \(0.407685\pi\) | |||||||
\(138\) | 1.32575e7 | + | 2.17073e7i | 0.429422 | + | 0.703121i | ||||
\(139\) | −1.68732e7 | − | 1.41583e7i | −0.532901 | − | 0.447157i | 0.336201 | − | 0.941790i | \(-0.390858\pi\) |
−0.869102 | + | 0.494633i | \(0.835302\pi\) | |||||||
\(140\) | 1.52603e6 | − | 8.65452e6i | 0.0470017 | − | 0.266560i | ||||
\(141\) | −3.59369e6 | + | 3.16982e6i | −0.107963 | + | 0.0952286i | ||||
\(142\) | 1.17630e7 | − | 9.87029e6i | 0.344752 | − | 0.289282i | ||||
\(143\) | −2.29770e6 | − | 3.97974e6i | −0.0657079 | − | 0.113809i | ||||
\(144\) | −2.07191e6 | − | 9.09904e6i | −0.0578233 | − | 0.253938i | ||||
\(145\) | 9.59929e6 | − | 1.66265e7i | 0.261488 | − | 0.452910i | ||||
\(146\) | 9.48323e6 | + | 5.37821e7i | 0.252186 | + | 1.43022i | ||||
\(147\) | −4.77915e6 | + | 3.16528e7i | −0.124091 | + | 0.821867i | ||||
\(148\) | −3.17135e7 | + | 1.15428e7i | −0.804134 | + | 0.292681i | ||||
\(149\) | −4.46405e7 | + | 1.62478e7i | −1.10555 | + | 0.402386i | −0.829358 | − | 0.558718i | \(-0.811294\pi\) |
−0.276188 | + | 0.961104i | \(0.589071\pi\) | |||||||
\(150\) | 4.11215e7 | + | 3.28105e7i | 0.994832 | + | 0.793767i | ||||
\(151\) | −1.37273e7 | − | 7.78516e7i | −0.324465 | − | 1.84013i | −0.513412 | − | 0.858143i | \(-0.671619\pi\) |
0.188947 | − | 0.981987i | \(-0.439493\pi\) | |||||||
\(152\) | 1.57059e7 | − | 2.72034e7i | 0.362752 | − | 0.628305i | ||||
\(153\) | −2.23039e7 | + | 4.34508e7i | −0.503455 | + | 0.980794i | ||||
\(154\) | 1.54142e7 | + | 2.66981e7i | 0.340093 | + | 0.589059i | ||||
\(155\) | 3.02472e7 | − | 2.53804e7i | 0.652415 | − | 0.547441i | ||||
\(156\) | 8.42349e6 | + | 2.83253e6i | 0.177646 | + | 0.0597364i | ||||
\(157\) | −7.23863e6 | + | 4.10523e7i | −0.149282 | + | 0.846621i | 0.814546 | + | 0.580098i | \(0.196986\pi\) |
−0.963829 | + | 0.266523i | \(0.914125\pi\) | |||||||
\(158\) | −9.35551e6 | − | 7.85021e6i | −0.188698 | − | 0.158337i | ||||
\(159\) | 9.69792e7 | − | 2.39376e6i | 1.91332 | − | 0.0472270i | ||||
\(160\) | 2.55945e7 | + | 9.31563e6i | 0.493999 | + | 0.179801i | ||||
\(161\) | −1.13488e7 | −0.214318 | ||||||||
\(162\) | 8.28062e7 | + | 2.11750e7i | 1.53024 | + | 0.391310i | ||||
\(163\) | 3.29063e7 | 0.595145 | 0.297572 | − | 0.954699i | \(-0.403823\pi\) | ||||
0.297572 | + | 0.954699i | \(0.403823\pi\) | |||||||
\(164\) | 8.74154e7 | + | 3.18166e7i | 1.54751 | + | 0.563249i | ||||
\(165\) | 2.66456e7 | − | 657700.i | 0.461776 | − | 0.0113981i | ||||
\(166\) | 2.14135e7 | + | 1.79680e7i | 0.363336 | + | 0.304875i | ||||
\(167\) | −2.44163e6 | + | 1.38472e7i | −0.0405670 | + | 0.230067i | −0.998350 | − | 0.0574261i | \(-0.981711\pi\) |
0.957783 | + | 0.287493i | \(0.0928218\pi\) | |||||||
\(168\) | −1.87045e7 | − | 6.28968e6i | −0.304343 | − | 0.102340i | ||||
\(169\) | −4.73125e7 | + | 3.96999e7i | −0.754001 | + | 0.632682i | ||||
\(170\) | −2.45799e7 | − | 4.25737e7i | −0.383715 | − | 0.664615i | ||||
\(171\) | −3.29082e7 | − | 5.10089e7i | −0.503289 | − | 0.780117i | ||||
\(172\) | −6.01851e7 | + | 1.04244e8i | −0.901861 | + | 1.56207i | ||||
\(173\) | −1.67728e7 | − | 9.51231e7i | −0.246288 | − | 1.39677i | −0.817482 | − | 0.575954i | \(-0.804631\pi\) |
0.571194 | − | 0.820815i | \(-0.306480\pi\) | |||||||
\(174\) | −1.01808e8 | − | 8.12318e7i | −1.46508 | − | 1.16897i | ||||
\(175\) | −2.20566e7 | + | 8.02794e6i | −0.311104 | + | 0.113233i | ||||
\(176\) | −1.85519e7 | + | 6.75233e6i | −0.256503 | + | 0.0933596i | ||||
\(177\) | −1.77867e7 | + | 1.17803e8i | −0.241095 | + | 1.59680i | ||||
\(178\) | −8.52608e6 | − | 4.83538e7i | −0.113313 | − | 0.642629i | ||||
\(179\) | 4.83086e7 | − | 8.36729e7i | 0.629562 | − | 1.09043i | −0.358077 | − | 0.933692i | \(-0.616568\pi\) |
0.987640 | − | 0.156742i | \(-0.0500991\pi\) | |||||||
\(180\) | −3.78031e7 | + | 3.50403e7i | −0.483141 | + | 0.447831i | ||||
\(181\) | −5.41120e6 | − | 9.37248e6i | −0.0678295 | − | 0.117484i | 0.830116 | − | 0.557591i | \(-0.188274\pi\) |
−0.897946 | + | 0.440106i | \(0.854941\pi\) | |||||||
\(182\) | −5.06959e6 | + | 4.25389e6i | −0.0623337 | + | 0.0523042i | ||||
\(183\) | −4.58464e7 | + | 4.04389e7i | −0.553001 | + | 0.487776i | ||||
\(184\) | −5.98134e6 | + | 3.39219e7i | −0.0707842 | + | 0.401437i | ||||
\(185\) | −1.66450e7 | − | 1.39668e7i | −0.193278 | − | 0.162180i | ||||
\(186\) | −1.39617e8 | − | 2.28605e8i | −1.59090 | − | 2.60489i | ||||
\(187\) | 9.70954e7 | + | 3.53398e7i | 1.08581 | + | 0.395202i | ||||
\(188\) | −1.96050e7 | −0.215186 | ||||||||
\(189\) | −2.73201e7 | + | 2.66065e7i | −0.294351 | + | 0.286663i | ||||
\(190\) | 6.10994e7 | 0.646248 | ||||||||
\(191\) | −5.06380e7 | − | 1.84307e7i | −0.525847 | − | 0.191393i | 0.0654360 | − | 0.997857i | \(-0.479156\pi\) |
−0.591283 | + | 0.806464i | \(0.701378\pi\) | |||||||
\(192\) | 7.61906e7 | − | 1.39825e8i | 0.776868 | − | 1.42570i | ||||
\(193\) | −1.17237e8 | − | 9.83735e7i | −1.17385 | − | 0.984981i | −1.00000 | 0.000209353i | \(-0.999933\pi\) | |
−0.173854 | − | 0.984771i | \(-0.555622\pi\) | |||||||
\(194\) | −2.60340e6 | + | 1.47646e7i | −0.0255997 | + | 0.145183i | ||||
\(195\) | 1.13230e6 | + | 5.60855e6i | 0.0109356 | + | 0.0541664i | ||||
\(196\) | −1.00327e8 | + | 8.41848e7i | −0.951752 | + | 0.798615i | ||||
\(197\) | 9.88162e7 | + | 1.71155e8i | 0.920866 | + | 1.59499i | 0.798079 | + | 0.602553i | \(0.205850\pi\) |
0.122787 | + | 0.992433i | \(0.460817\pi\) | |||||||
\(198\) | 2.25754e7 | − | 1.79405e8i | 0.206684 | − | 1.64251i | ||||
\(199\) | 5.71709e7 | − | 9.90229e7i | 0.514268 | − | 0.890738i | −0.485595 | − | 0.874184i | \(-0.661397\pi\) |
0.999863 | − | 0.0165540i | \(-0.00526955\pi\) | |||||||
\(200\) | 1.23709e7 | + | 7.01589e7i | 0.109344 | + | 0.620123i | ||||
\(201\) | −1.13685e8 | + | 4.45847e7i | −0.987457 | + | 0.387258i | ||||
\(202\) | 1.57584e8 | − | 5.73558e7i | 1.34518 | − | 0.489607i | ||||
\(203\) | 5.46075e7 | − | 1.98755e7i | 0.458159 | − | 0.166756i | ||||
\(204\) | −1.86028e8 | + | 7.29557e7i | −1.53416 | + | 0.601663i | ||||
\(205\) | 1.04003e7 | + | 5.89828e7i | 0.0843152 | + | 0.478175i | ||||
\(206\) | 1.93114e7 | − | 3.34483e7i | 0.153914 | − | 0.266586i | ||||
\(207\) | 5.30407e7 | + | 4.02193e7i | 0.415636 | + | 0.315165i | ||||
\(208\) | −2.11904e6 | − | 3.67029e6i | −0.0163274 | − | 0.0282800i | ||||
\(209\) | −9.83770e7 | + | 8.25481e7i | −0.745386 | + | 0.625453i | ||||
\(210\) | −7.59608e6 | − | 3.76251e7i | −0.0566008 | − | 0.280356i | ||||
\(211\) | 3.95214e7 | − | 2.24137e8i | 0.289630 | − | 1.64257i | −0.398631 | − | 0.917111i | \(-0.630515\pi\) |
0.688261 | − | 0.725463i | \(-0.258374\pi\) | |||||||
\(212\) | 3.04035e8 | + | 2.55116e8i | 2.19153 | + | 1.83892i | ||||
\(213\) | 1.92278e7 | − | 3.52867e7i | 0.136333 | − | 0.250197i | ||||
\(214\) | 3.02654e8 | + | 1.10157e8i | 2.11105 | + | 0.768359i | ||||
\(215\) | −7.74981e7 | −0.531810 | ||||||||
\(216\) | 6.51286e7 | + | 9.56833e7i | 0.439727 | + | 0.646023i | ||||
\(217\) | 1.19517e8 | 0.793998 | ||||||||
\(218\) | −3.33379e8 | − | 1.21340e8i | −2.17941 | − | 0.793242i | ||||
\(219\) | 7.44920e7 | + | 1.21971e8i | 0.479242 | + | 0.784695i | ||||
\(220\) | 8.35354e7 | + | 7.00946e7i | 0.528922 | + | 0.443818i | ||||
\(221\) | −3.85169e6 | + | 2.18440e7i | −0.0240037 | + | 0.136132i | ||||
\(222\) | −1.10548e8 | + | 9.75092e7i | −0.678135 | + | 0.598150i | ||||
\(223\) | −2.24956e8 | + | 1.88760e8i | −1.35841 | + | 1.13984i | −0.381935 | + | 0.924189i | \(0.624742\pi\) |
−0.976471 | + | 0.215649i | \(0.930813\pi\) | |||||||
\(224\) | 4.12219e7 | + | 7.13983e7i | 0.245053 | + | 0.424444i | ||||
\(225\) | 1.31536e8 | + | 4.06469e7i | 0.769849 | + | 0.237897i | ||||
\(226\) | 1.24513e8 | − | 2.15662e8i | 0.717521 | − | 1.24278i | ||||
\(227\) | −3.10201e6 | − | 1.75923e7i | −0.0176016 | − | 0.0998236i | 0.974741 | − | 0.223337i | \(-0.0716950\pi\) |
−0.992343 | + | 0.123513i | \(0.960584\pi\) | |||||||
\(228\) | 3.70777e7 | − | 2.45570e8i | 0.207177 | − | 1.37215i | ||||
\(229\) | −1.72955e8 | + | 6.29503e7i | −0.951717 | + | 0.346397i | −0.770783 | − | 0.637098i | \(-0.780135\pi\) |
−0.180935 | + | 0.983495i | \(0.557912\pi\) | |||||||
\(230\) | −6.29591e7 | + | 2.29152e7i | −0.341202 | + | 0.124187i | ||||
\(231\) | 6.30637e7 | + | 5.03180e7i | 0.336618 | + | 0.268585i | ||||
\(232\) | −3.06277e7 | − | 1.73699e8i | −0.161030 | − | 0.913247i | ||||
\(233\) | 4.28350e7 | − | 7.41925e7i | 0.221847 | − | 0.384250i | −0.733522 | − | 0.679666i | \(-0.762125\pi\) |
0.955369 | + | 0.295416i | \(0.0954581\pi\) | |||||||
\(234\) | 3.87691e7 | − | 1.91506e6i | 0.197802 | − | 0.00977073i | ||||
\(235\) | −6.31116e6 | − | 1.09313e7i | −0.0317228 | − | 0.0549455i | ||||
\(236\) | −3.73391e8 | + | 3.13313e8i | −1.84915 | + | 1.55162i | ||||
\(237\) | −3.02939e7 | − | 1.01868e7i | −0.147821 | − | 0.0497072i | ||||
\(238\) | 2.58391e7 | − | 1.46541e8i | 0.124239 | − | 0.704595i | ||||
\(239\) | 2.49912e6 | + | 2.09701e6i | 0.0118412 | + | 0.00993592i | 0.648689 | − | 0.761054i | \(-0.275318\pi\) |
−0.636848 | + | 0.770990i | \(0.719762\pi\) | |||||||
\(240\) | 2.45737e7 | − | 606560.i | 0.114745 | − | 0.00283227i | ||||
\(241\) | 1.04385e8 | + | 3.79929e7i | 0.480372 | + | 0.174841i | 0.570845 | − | 0.821058i | \(-0.306616\pi\) |
−0.0904733 | + | 0.995899i | \(0.528838\pi\) | |||||||
\(242\) | −3.43068e7 | −0.155606 | ||||||||
\(243\) | 2.21977e8 | − | 2.75298e7i | 0.992397 | − | 0.123078i | ||||
\(244\) | −2.50110e8 | −1.10222 | ||||||||
\(245\) | −7.92362e7 | − | 2.88396e7i | −0.344225 | − | 0.125288i | ||||
\(246\) | 4.06191e8 | − | 1.00261e7i | 1.73963 | − | 0.0429398i | ||||
\(247\) | −2.11184e7 | − | 1.77205e7i | −0.0891708 | − | 0.0748232i | ||||
\(248\) | 6.29908e7 | − | 3.57238e8i | 0.262238 | − | 1.48723i | ||||
\(249\) | 6.93386e7 | + | 2.33162e7i | 0.284628 | + | 0.0957106i | ||||
\(250\) | −2.37893e8 | + | 1.99616e8i | −0.962923 | + | 0.807988i | ||||
\(251\) | 1.40256e8 | + | 2.42930e8i | 0.559839 | + | 0.969670i | 0.997509 | + | 0.0705344i | \(0.0224705\pi\) |
−0.437670 | + | 0.899136i | \(0.644196\pi\) | |||||||
\(252\) | −1.55832e8 | + | 7.69755e6i | −0.613414 | + | 0.0303006i | ||||
\(253\) | 7.04118e7 | − | 1.21957e8i | 0.273353 | − | 0.473461i | ||||
\(254\) | −2.30174e7 | − | 1.30538e8i | −0.0881330 | − | 0.499827i | ||||
\(255\) | −1.00563e8 | − | 8.02385e7i | −0.379795 | − | 0.303035i | ||||
\(256\) | 1.36939e8 | − | 4.98418e7i | 0.510139 | − | 0.185675i | ||||
\(257\) | −2.73861e8 | + | 9.96772e7i | −1.00638 | + | 0.366294i | −0.792043 | − | 0.610465i | \(-0.790983\pi\) |
−0.214341 | + | 0.976759i | \(0.568760\pi\) | |||||||
\(258\) | −7.84917e7 | + | 5.19859e8i | −0.284547 | + | 1.88459i | ||||
\(259\) | −1.14208e7 | − | 6.47708e7i | −0.0408459 | − | 0.231649i | ||||
\(260\) | −1.17046e7 | + | 2.02729e7i | −0.0412998 | + | 0.0715334i | ||||
\(261\) | −3.25655e8 | − | 1.00633e8i | −1.13375 | − | 0.350348i | ||||
\(262\) | −8.41727e7 | − | 1.45791e8i | −0.289146 | − | 0.500815i | ||||
\(263\) | 3.64900e8 | − | 3.06187e8i | 1.23688 | − | 1.03787i | 0.239122 | − | 0.970990i | \(-0.423140\pi\) |
0.997761 | − | 0.0668785i | \(-0.0213040\pi\) | |||||||
\(264\) | 1.83639e8 | − | 1.61979e8i | 0.614259 | − | 0.541809i | ||||
\(265\) | −4.43723e7 | + | 2.51648e8i | −0.146471 | + | 0.830678i | ||||
\(266\) | 1.41673e8 | + | 1.18878e8i | 0.461533 | + | 0.387272i | ||||
\(267\) | −6.69734e7 | − | 1.09660e8i | −0.215334 | − | 0.352581i | ||||
\(268\) | −4.69478e8 | − | 1.70876e8i | −1.48985 | − | 0.542262i | ||||
\(269\) | 4.80231e8 | 1.50424 | 0.752121 | − | 0.659025i | \(-0.229031\pi\) | ||||
0.752121 | + | 0.659025i | \(0.229031\pi\) | |||||||
\(270\) | −9.78388e7 | + | 2.02767e8i | −0.302509 | + | 0.626939i | ||||
\(271\) | 3.90431e8 | 1.19166 | 0.595830 | − | 0.803111i | \(-0.296823\pi\) | ||||
0.595830 | + | 0.803111i | \(0.296823\pi\) | |||||||
\(272\) | 8.95457e7 | + | 3.25920e7i | 0.269807 | + | 0.0982018i | ||||
\(273\) | −8.28677e6 | + | 1.52078e7i | −0.0246499 | + | 0.0452374i | ||||
\(274\) | 4.91480e8 | + | 4.12401e8i | 1.44338 | + | 1.21114i | ||||
\(275\) | 5.05764e7 | − | 2.86833e8i | 0.146651 | − | 0.831697i | ||||
\(276\) | 5.38943e7 | + | 2.66950e8i | 0.154298 | + | 0.764273i | ||||
\(277\) | −1.45473e8 | + | 1.22066e8i | −0.411247 | + | 0.345077i | −0.824821 | − | 0.565393i | \(-0.808724\pi\) |
0.413575 | + | 0.910470i | \(0.364280\pi\) | |||||||
\(278\) | −1.96804e8 | − | 3.40875e8i | −0.549386 | − | 0.951565i | ||||
\(279\) | −5.58582e8 | − | 4.23558e8i | −1.53983 | − | 1.16761i | ||||
\(280\) | 2.59902e7 | − | 4.50163e7i | 0.0707548 | − | 0.122551i | ||||
\(281\) | −6.21788e6 | − | 3.52633e7i | −0.0167174 | − | 0.0948094i | 0.975307 | − | 0.220852i | \(-0.0708836\pi\) |
−0.992025 | + | 0.126042i | \(0.959773\pi\) | |||||||
\(282\) | −7.97191e7 | + | 3.12640e7i | −0.211685 | + | 0.0830180i | ||||
\(283\) | −2.07839e8 | + | 7.56471e7i | −0.545097 | + | 0.198399i | −0.599867 | − | 0.800100i | \(-0.704780\pi\) |
0.0547696 | + | 0.998499i | \(0.482558\pi\) | |||||||
\(284\) | 1.54494e8 | − | 5.62313e7i | 0.400219 | − | 0.145668i | ||||
\(285\) | 1.48859e8 | − | 5.83791e7i | 0.380907 | − | 0.149383i | ||||
\(286\) | −1.42598e7 | − | 8.08715e7i | −0.0360440 | − | 0.204416i | ||||
\(287\) | −9.06445e7 | + | 1.57001e8i | −0.226337 | + | 0.392026i | ||||
\(288\) | 6.03728e7 | − | 4.79780e8i | 0.148925 | − | 1.18350i | ||||
\(289\) | −4.41983e7 | − | 7.65537e7i | −0.107712 | − | 0.186562i | ||||
\(290\) | 2.62811e8 | − | 2.20524e8i | 0.632776 | − | 0.530962i | ||||
\(291\) | 7.76449e6 | + | 3.84592e7i | 0.0184709 | + | 0.0914903i | ||||
\(292\) | −1.01536e8 | + | 5.75839e8i | −0.238660 | + | 1.35351i | ||||
\(293\) | −1.74642e8 | − | 1.46542e8i | −0.405613 | − | 0.340350i | 0.417045 | − | 0.908886i | \(-0.363066\pi\) |
−0.822658 | + | 0.568536i | \(0.807510\pi\) | |||||||
\(294\) | −2.73709e8 | + | 5.02309e8i | −0.628164 | + | 1.15280i | ||||
\(295\) | −2.94895e8 | − | 1.07333e8i | −0.668792 | − | 0.243420i | ||||
\(296\) | −1.99621e8 | −0.447389 | ||||||||
\(297\) | −1.16416e8 | − | 4.58663e8i | −0.257850 | − | 1.01589i | ||||
\(298\) | −8.48913e8 | −1.85826 | ||||||||
\(299\) | 2.84073e7 | + | 1.03394e7i | 0.0614583 | + | 0.0223690i | ||||
\(300\) | 2.93580e8 | + | 4.80699e8i | 0.627773 | + | 1.02789i | ||||
\(301\) | −1.79698e8 | − | 1.50784e8i | −0.379804 | − | 0.318693i | ||||
\(302\) | 2.45305e8 | − | 1.39119e9i | 0.512486 | − | 2.90645i | ||||
\(303\) | 3.29126e8 | − | 2.90306e8i | 0.679694 | − | 0.599525i | ||||
\(304\) | −9.07276e7 | + | 7.61295e7i | −0.185217 | + | 0.155416i | ||||
\(305\) | −8.05144e7 | − | 1.39455e8i | −0.162489 | − | 0.281439i | ||||
\(306\) | −6.40094e8 | + | 5.93313e8i | −1.27708 | + | 1.18375i | ||||
\(307\) | −1.55480e8 | + | 2.69299e8i | −0.306683 | + | 0.531190i | −0.977635 | − | 0.210311i | \(-0.932552\pi\) |
0.670952 | + | 0.741501i | \(0.265886\pi\) | |||||||
\(308\) | 5.73171e7 | + | 3.25061e8i | 0.111778 | + | 0.633925i | ||||
\(309\) | 1.50901e7 | − | 9.99430e7i | 0.0290962 | − | 0.192707i | ||||
\(310\) | 6.63036e8 | − | 2.41325e8i | 1.26407 | − | 0.460084i | ||||
\(311\) | 6.01550e6 | − | 2.18946e6i | 0.0113399 | − | 0.00412740i | −0.336344 | − | 0.941739i | \(-0.609190\pi\) |
0.347684 | + | 0.937612i | \(0.386968\pi\) | |||||||
\(312\) | 4.10891e7 | + | 3.27846e7i | 0.0765923 | + | 0.0611123i | ||||
\(313\) | 1.05376e8 | + | 5.97617e8i | 0.194239 | + | 1.10158i | 0.913498 | + | 0.406842i | \(0.133370\pi\) |
−0.719259 | + | 0.694742i | \(0.755519\pi\) | |||||||
\(314\) | −3.72457e8 | + | 6.45115e8i | −0.678926 | + | 1.17593i | ||||
\(315\) | −5.44566e7 | − | 8.44097e7i | −0.0981665 | − | 0.152162i | ||||
\(316\) | −6.53804e7 | − | 1.13242e8i | −0.116558 | − | 0.201885i | ||||
\(317\) | 1.63022e6 | − | 1.36791e6i | 0.00287434 | − | 0.00241186i | −0.641349 | − | 0.767249i | \(-0.721625\pi\) |
0.644224 | + | 0.764837i | \(0.277181\pi\) | |||||||
\(318\) | 1.64312e9 | + | 5.52524e8i | 2.86532 | + | 0.963511i | ||||
\(319\) | −1.25217e8 | + | 7.10138e8i | −0.215970 | + | 1.22483i | ||||
\(320\) | 3.21310e8 | + | 2.69611e8i | 0.548150 | + | 0.459953i | ||||
\(321\) | 8.42622e8 | − | 2.07986e7i | 1.42189 | − | 0.0350968i | ||||
\(322\) | −1.90571e8 | − | 6.93620e7i | −0.318098 | − | 0.115778i | ||||
\(323\) | 6.19864e8 | 1.02350 | ||||||||
\(324\) | 7.55587e8 | + | 5.16280e8i | 1.23418 | + | 0.843292i | ||||
\(325\) | 6.25239e7 | 0.101031 | ||||||||
\(326\) | 5.52567e8 | + | 2.01118e8i | 0.883331 | + | 0.321506i | ||||
\(327\) | −9.28162e8 | + | 2.29101e7i | −1.46793 | + | 0.0362334i | ||||
\(328\) | 4.21506e8 | + | 3.53686e8i | 0.659546 | + | 0.553425i | ||||
\(329\) | 6.63448e6 | − | 3.76260e7i | 0.0102712 | − | 0.0582508i | ||||
\(330\) | 4.51456e8 | + | 1.51809e8i | 0.691539 | + | 0.232541i | ||||
\(331\) | 8.86662e8 | − | 7.43998e8i | 1.34388 | − | 1.12765i | 0.363268 | − | 0.931685i | \(-0.381661\pi\) |
0.980611 | − | 0.195964i | \(-0.0627836\pi\) | |||||||
\(332\) | 1.49646e8 | + | 2.59195e8i | 0.224431 | + | 0.388726i | ||||
\(333\) | −1.76166e8 | + | 3.43192e8i | −0.261437 | + | 0.509311i | ||||
\(334\) | −1.25632e8 | + | 2.17601e8i | −0.184496 | + | 0.319557i | ||||
\(335\) | −5.58562e7 | − | 3.16776e8i | −0.0811735 | − | 0.460358i | ||||
\(336\) | 5.81602e7 | + | 4.64055e7i | 0.0836446 | + | 0.0667393i | ||||
\(337\) | 5.15855e8 | − | 1.87756e8i | 0.734214 | − | 0.267232i | 0.0522665 | − | 0.998633i | \(-0.483355\pi\) |
0.681947 | + | 0.731401i | \(0.261133\pi\) | |||||||
\(338\) | −1.03712e9 | + | 3.77479e8i | −1.46089 | + | 0.531722i | ||||
\(339\) | 9.72953e7 | − | 6.44397e8i | 0.135642 | − | 0.898369i | ||||
\(340\) | −9.13996e7 | − | 5.18353e8i | −0.126115 | − | 0.715236i | ||||
\(341\) | −7.41521e8 | + | 1.28435e9i | −1.01271 | + | 1.75406i | ||||
\(342\) | −2.40841e8 | − | 1.05768e9i | −0.325565 | − | 1.42976i | ||||
\(343\) | −2.81151e8 | − | 4.86969e8i | −0.376193 | − | 0.651586i | ||||
\(344\) | −5.45407e8 | + | 4.57651e8i | −0.722381 | + | 0.606149i | ||||
\(345\) | −1.31495e8 | + | 1.15985e8i | −0.172402 | + | 0.152068i | ||||
\(346\) | 2.99726e8 | − | 1.69983e9i | 0.389008 | − | 2.20617i | ||||
\(347\) | −1.06854e8 | − | 8.96612e7i | −0.137290 | − | 0.115200i | 0.571557 | − | 0.820562i | \(-0.306340\pi\) |
−0.708846 | + | 0.705363i | \(0.750784\pi\) | |||||||
\(348\) | −7.26843e8 | − | 1.19011e9i | −0.924513 | − | 1.51377i | ||||
\(349\) | −5.05463e7 | − | 1.83974e7i | −0.0636503 | − | 0.0231668i | 0.309999 | − | 0.950737i | \(-0.399671\pi\) |
−0.373649 | + | 0.927570i | \(0.621894\pi\) | |||||||
\(350\) | −4.19443e8 | −0.522919 | ||||||||
\(351\) | 9.26251e7 | − | 4.17088e7i | 0.114328 | − | 0.0514816i | ||||
\(352\) | −1.02302e9 | −1.25021 | ||||||||
\(353\) | −1.04945e9 | − | 3.81968e8i | −1.26984 | − | 0.462185i | −0.382782 | − | 0.923838i | \(-0.625034\pi\) |
−0.887060 | + | 0.461654i | \(0.847256\pi\) | |||||||
\(354\) | −1.01867e9 | + | 1.86945e9i | −1.22045 | + | 2.23977i | ||||
\(355\) | 8.10871e7 | + | 6.80402e7i | 0.0961950 | + | 0.0807172i | ||||
\(356\) | 9.12878e7 | − | 5.17719e8i | 0.107235 | − | 0.608162i | ||||
\(357\) | −7.70636e7 | − | 3.81713e8i | −0.0896418 | − | 0.444016i | ||||
\(358\) | 1.32260e9 | − | 1.10979e9i | 1.52348 | − | 1.27835i | ||||
\(359\) | 5.58954e8 | + | 9.68136e8i | 0.637595 | + | 1.10435i | 0.985959 | + | 0.166988i | \(0.0534041\pi\) |
−0.348364 | + | 0.937359i | \(0.613263\pi\) | |||||||
\(360\) | −2.81004e8 | + | 1.18284e8i | −0.317434 | + | 0.133619i | ||||
\(361\) | 6.17296e7 | − | 1.06919e8i | 0.0690587 | − | 0.119613i | ||||
\(362\) | −3.35826e7 | − | 1.90456e8i | −0.0372078 | − | 0.211016i | ||||
\(363\) | −8.35832e7 | + | 3.27794e7i | −0.0917162 | + | 0.0359690i | ||||
\(364\) | −6.65837e7 | + | 2.42345e7i | −0.0723625 | + | 0.0263378i | ||||
\(365\) | −3.53759e8 | + | 1.28758e8i | −0.380787 | + | 0.138595i | ||||
\(366\) | −1.01701e9 | + | 3.98849e8i | −1.08428 | + | 0.425231i | ||||
\(367\) | −1.03863e7 | − | 5.89036e7i | −0.0109680 | − | 0.0622029i | 0.978832 | − | 0.204663i | \(-0.0656098\pi\) |
−0.989801 | + | 0.142460i | \(0.954499\pi\) | |||||||
\(368\) | 6.49369e7 | − | 1.12474e8i | 0.0679241 | − | 0.117648i | ||||
\(369\) | 9.80042e8 | − | 4.12534e8i | 1.01544 | − | 0.427432i | ||||
\(370\) | −1.94142e8 | − | 3.36265e8i | −0.199257 | − | 0.345124i | ||||
\(371\) | −5.92506e8 | + | 4.97172e8i | −0.602399 | + | 0.505473i | ||||
\(372\) | −5.67572e8 | − | 2.81131e9i | −0.571638 | − | 2.83145i | ||||
\(373\) | −7.34937e7 | + | 4.16803e8i | −0.0733279 | + | 0.415863i | 0.925942 | + | 0.377665i | \(0.123273\pi\) |
−0.999270 | + | 0.0381981i | \(0.987838\pi\) | |||||||
\(374\) | 1.41445e9 | + | 1.18686e9i | 1.39809 | + | 1.17314i | ||||
\(375\) | −3.88860e8 | + | 7.13634e8i | −0.380789 | + | 0.698821i | ||||
\(376\) | −1.08968e8 | − | 3.96613e7i | −0.105717 | − | 0.0384777i | ||||
\(377\) | −1.54796e8 | −0.148787 | ||||||||
\(378\) | −6.21377e8 | + | 2.79804e8i | −0.591744 | + | 0.266460i | ||||
\(379\) | 1.60275e9 | 1.51227 | 0.756133 | − | 0.654418i | \(-0.227086\pi\) | ||||
0.756133 | + | 0.654418i | \(0.227086\pi\) | |||||||
\(380\) | 6.14733e8 | + | 2.23744e8i | 0.574704 | + | 0.209175i | ||||
\(381\) | −1.80805e8 | − | 2.96043e8i | −0.167484 | − | 0.274232i | ||||
\(382\) | −7.37674e8 | − | 6.18982e8i | −0.677084 | − | 0.568141i | ||||
\(383\) | 1.74349e7 | − | 9.88780e7i | 0.0158571 | − | 0.0899299i | −0.975852 | − | 0.218432i | \(-0.929906\pi\) |
0.991709 | + | 0.128502i | \(0.0410169\pi\) | |||||||
\(384\) | 1.14139e9 | − | 1.00677e9i | 1.02867 | − | 0.907341i | ||||
\(385\) | −1.62795e8 | + | 1.36601e8i | −0.145388 | + | 0.121995i | ||||
\(386\) | −1.36742e9 | − | 2.36843e9i | −1.21017 | − | 2.09607i | ||||
\(387\) | 3.05481e8 | + | 1.34155e9i | 0.267914 | + | 1.17657i | ||||
\(388\) | −8.02610e7 | + | 1.39016e8i | −0.0697579 | + | 0.120824i | ||||
\(389\) | 1.37843e8 | + | 7.81744e8i | 0.118730 | + | 0.673350i | 0.984836 | + | 0.173490i | \(0.0555043\pi\) |
−0.866106 | + | 0.499861i | \(0.833385\pi\) | |||||||
\(390\) | −1.52647e7 | + | 1.01100e8i | −0.0130306 | + | 0.0863029i | ||||
\(391\) | −6.38731e8 | + | 2.32479e8i | −0.540381 | + | 0.196682i | ||||
\(392\) | −7.27946e8 | + | 2.64951e8i | −0.610377 | + | 0.222159i | ||||
\(393\) | −3.44374e8 | − | 2.74773e8i | −0.286191 | − | 0.228350i | ||||
\(394\) | 6.13265e8 | + | 3.47800e9i | 0.505140 | + | 2.86479i | ||||
\(395\) | 4.20939e7 | − | 7.29088e7i | 0.0343660 | − | 0.0595237i | ||||
\(396\) | 8.84112e8 | − | 1.72236e9i | 0.715442 | − | 1.39377i | ||||
\(397\) | 1.02221e9 | + | 1.77051e9i | 0.819920 | + | 1.42014i | 0.905741 | + | 0.423832i | \(0.139315\pi\) |
−0.0858208 | + | 0.996311i | \(0.527351\pi\) | |||||||
\(398\) | 1.56523e9 | − | 1.31339e9i | 1.24448 | − | 1.04424i | ||||
\(399\) | 4.58750e8 | + | 1.54262e8i | 0.361552 | + | 0.121578i | ||||
\(400\) | 4.66438e7 | − | 2.64530e8i | 0.0364405 | − | 0.206664i | ||||
\(401\) | 4.36462e8 | + | 3.66235e8i | 0.338019 | + | 0.283632i | 0.795958 | − | 0.605352i | \(-0.206968\pi\) |
−0.457939 | + | 0.888984i | \(0.651412\pi\) | |||||||
\(402\) | −2.18151e9 | + | 5.38468e7i | −1.67481 | + | 0.0413398i | ||||
\(403\) | −2.99163e8 | − | 1.08886e8i | −0.227688 | − | 0.0828716i | ||||
\(404\) | 1.79552e9 | 1.35474 | ||||||||
\(405\) | −4.46293e7 | + | 5.87494e8i | −0.0333832 | + | 0.439451i | ||||
\(406\) | 1.03845e9 | 0.770096 | ||||||||
\(407\) | 7.66900e8 | + | 2.79129e8i | 0.563843 | + | 0.205222i | ||||
\(408\) | −1.18157e9 | + | 2.91649e7i | −0.861287 | + | 0.0212594i | ||||
\(409\) | 3.87627e8 | + | 3.25258e8i | 0.280145 | + | 0.235069i | 0.772023 | − | 0.635595i | \(-0.219245\pi\) |
−0.491878 | + | 0.870664i | \(0.663689\pi\) | |||||||
\(410\) | −1.85851e8 | + | 1.05401e9i | −0.133174 | + | 0.755270i | ||||
\(411\) | 1.59146e9 | + | 5.35152e8i | 1.13070 | + | 0.380217i | ||||
\(412\) | 3.16782e8 | − | 2.65812e8i | 0.223162 | − | 0.187255i | ||||
\(413\) | −4.74952e8 | − | 8.22640e8i | −0.331760 | − | 0.574625i | ||||
\(414\) | 6.44852e8 | + | 9.99544e8i | 0.446641 | + | 0.692310i | ||||
\(415\) | −9.63470e7 | + | 1.66878e8i | −0.0661713 | + | 0.114612i | ||||
\(416\) | −3.81348e7 | − | 2.16273e8i | −0.0259714 | − | 0.147291i | ||||
\(417\) | −8.05181e8 | − | 6.42447e8i | −0.543773 | − | 0.433871i | ||||
\(418\) | −2.15648e9 | + | 7.84894e8i | −1.44420 | + | 0.525647i | ||||
\(419\) | −1.66171e9 | + | 6.04812e8i | −1.10358 | + | 0.401671i | −0.828636 | − | 0.559788i | \(-0.810883\pi\) |
−0.274947 | + | 0.961459i | \(0.588660\pi\) | |||||||
\(420\) | 6.13564e7 | − | 4.06370e8i | 0.0404098 | − | 0.267639i | ||||
\(421\) | −3.50467e6 | − | 1.98760e7i | −0.00228908 | − | 0.0129820i | 0.983642 | − | 0.180135i | \(-0.0576536\pi\) |
−0.985931 | + | 0.167153i | \(0.946542\pi\) | |||||||
\(422\) | 2.03354e9 | − | 3.52219e9i | 1.31722 | − | 2.28149i | ||||
\(423\) | −1.64351e8 | + | 1.52340e8i | −0.105580 | + | 0.0978637i | ||||
\(424\) | 1.17378e9 | + | 2.03305e9i | 0.747837 | + | 1.29529i | ||||
\(425\) | −1.07693e9 | + | 9.03655e8i | −0.680500 | + | 0.571007i | ||||
\(426\) | 5.38542e8 | − | 4.75021e8i | 0.337509 | − | 0.297701i | ||||
\(427\) | 8.46391e7 | − | 4.80012e8i | 0.0526106 | − | 0.298370i | ||||
\(428\) | 2.64167e9 | + | 2.21662e9i | 1.62864 | + | 1.36659i | ||||
\(429\) | −1.12013e8 | − | 1.83406e8i | −0.0684963 | − | 0.112153i | ||||
\(430\) | −1.30136e9 | − | 4.73656e8i | −0.789328 | − | 0.287292i | ||||
\(431\) | −1.40740e9 | −0.846735 | −0.423367 | − | 0.905958i | \(-0.639152\pi\) | ||||
−0.423367 | + | 0.905958i | \(0.639152\pi\) | |||||||
\(432\) | −1.07364e8 | − | 4.23000e8i | −0.0640718 | − | 0.252433i | ||||
\(433\) | 2.36842e9 | 1.40201 | 0.701006 | − | 0.713155i | \(-0.252735\pi\) | ||||
0.701006 | + | 0.713155i | \(0.252735\pi\) | |||||||
\(434\) | 2.00694e9 | + | 7.30466e8i | 1.17847 | + | 0.428930i | ||||
\(435\) | 4.29591e8 | − | 7.88383e8i | 0.250232 | − | 0.459224i | ||||
\(436\) | −2.90984e9 | − | 2.44165e9i | −1.68138 | − | 1.41085i | ||||
\(437\) | 1.46700e8 | − | 8.31976e8i | 0.0840900 | − | 0.476898i | ||||
\(438\) | 5.05415e8 | + | 2.50343e9i | 0.287401 | + | 1.42356i | ||||
\(439\) | 1.00116e9 | − | 8.40076e8i | 0.564780 | − | 0.473906i | −0.315129 | − | 0.949049i | \(-0.602048\pi\) |
0.879909 | + | 0.475142i | \(0.157603\pi\) | |||||||
\(440\) | 3.22503e8 | + | 5.58592e8i | 0.180489 | + | 0.312616i | ||||
\(441\) | −1.86904e8 | + | 1.48532e9i | −0.103773 | + | 0.824678i | ||||
\(442\) | −1.98185e8 | + | 3.43267e8i | −0.109167 | + | 0.189084i | ||||
\(443\) | −2.12817e6 | − | 1.20694e7i | −0.00116304 | − | 0.00659590i | 0.984221 | − | 0.176945i | \(-0.0566215\pi\) |
−0.985384 | + | 0.170349i | \(0.945510\pi\) | |||||||
\(444\) | −1.46932e9 | + | 5.76234e8i | −0.796667 | + | 0.312434i | ||||
\(445\) | 3.18053e8 | − | 1.15762e8i | 0.171096 | − | 0.0622739i | ||||
\(446\) | −4.93115e9 | + | 1.79479e9i | −2.63194 | + | 0.957949i | ||||
\(447\) | −2.06824e9 | + | 8.11117e8i | −1.09528 | + | 0.429543i | ||||
\(448\) | 2.20464e8 | + | 1.25031e9i | 0.115842 | + | 0.656971i | ||||
\(449\) | 1.69912e9 | − | 2.94296e9i | 0.885854 | − | 1.53434i | 0.0411218 | − | 0.999154i | \(-0.486907\pi\) |
0.844732 | − | 0.535190i | \(-0.179760\pi\) | |||||||
\(450\) | 1.96034e9 | + | 1.48647e9i | 1.01412 | + | 0.768978i | ||||
\(451\) | −1.12478e9 | − | 1.94817e9i | −0.577363 | − | 1.00002i | ||||
\(452\) | 2.04250e9 | − | 1.71386e9i | 1.04034 | − | 0.872952i | ||||
\(453\) | −7.31607e8 | − | 3.62381e9i | −0.369772 | − | 1.83156i | ||||
\(454\) | 5.54323e7 | − | 3.14372e8i | 0.0278014 | − | 0.157670i | ||||
\(455\) | −3.49469e7 | − | 2.93239e7i | −0.0173927 | − | 0.0145942i | ||||
\(456\) | 7.02877e8 | − | 1.28991e9i | 0.347138 | − | 0.637065i | ||||
\(457\) | −2.35354e9 | − | 8.56617e8i | −1.15349 | − | 0.419836i | −0.306723 | − | 0.951799i | \(-0.599233\pi\) |
−0.846768 | + | 0.531962i | \(0.821455\pi\) | |||||||
\(458\) | −3.28902e9 | −1.59969 | ||||||||
\(459\) | −9.92592e8 | + | 2.05711e9i | −0.479100 | + | 0.992918i | ||||
\(460\) | −7.17359e8 | −0.343624 | ||||||||
\(461\) | −2.88321e9 | − | 1.04940e9i | −1.37064 | − | 0.498872i | −0.451313 | − | 0.892366i | \(-0.649044\pi\) |
−0.919328 | + | 0.393493i | \(0.871267\pi\) | |||||||
\(462\) | 7.51439e8 | + | 1.23038e9i | 0.354525 | + | 0.580487i | ||||
\(463\) | −3.19236e8 | − | 2.67871e8i | −0.149479 | − | 0.125427i | 0.564982 | − | 0.825103i | \(-0.308883\pi\) |
−0.714460 | + | 0.699676i | \(0.753328\pi\) | |||||||
\(464\) | −1.15480e8 | + | 6.54921e8i | −0.0536654 | + | 0.304352i | ||||
\(465\) | 1.38480e9 | − | 1.22147e9i | 0.638708 | − | 0.563374i | ||||
\(466\) | 1.17274e9 | − | 9.84049e8i | 0.536849 | − | 0.450470i | ||||
\(467\) | 1.69549e8 | + | 2.93668e8i | 0.0770348 | + | 0.133428i | 0.901969 | − | 0.431800i | \(-0.142121\pi\) |
−0.824935 | + | 0.565228i | \(0.808788\pi\) | |||||||
\(468\) | 3.97076e8 | + | 1.22704e8i | 0.179066 | + | 0.0553346i | ||||
\(469\) | 4.86820e8 | − | 8.43197e8i | 0.217903 | − | 0.377419i | ||||
\(470\) | −3.91678e7 | − | 2.22132e8i | −0.0174015 | − | 0.0986889i | ||||
\(471\) | −2.91041e8 | + | 1.92760e9i | −0.128346 | + | 0.850047i | ||||
\(472\) | −2.70922e9 | + | 9.86074e8i | −1.18590 | + | 0.431631i | ||||
\(473\) | 2.73526e9 | − | 9.95555e8i | 1.18846 | − | 0.432565i | ||||
\(474\) | −4.46440e8 | − | 3.56210e8i | −0.192548 | − | 0.153632i | ||||
\(475\) | −3.03411e8 | − | 1.72073e9i | −0.129899 | − | 0.736691i | ||||
\(476\) | 7.96602e8 | − | 1.37975e9i | 0.338545 | − | 0.586378i | ||||
\(477\) | 4.53112e9 | − | 2.23822e8i | 1.91158 | − | 0.0944253i | ||||
\(478\) | 2.91490e7 | + | 5.04875e7i | 0.0122075 | + | 0.0211439i | ||||
\(479\) | −1.76063e9 | + | 1.47734e9i | −0.731971 | + | 0.614196i | −0.930668 | − | 0.365864i | \(-0.880773\pi\) |
0.198697 | + | 0.980061i | \(0.436329\pi\) | |||||||
\(480\) | 1.20732e9 | + | 4.05981e8i | 0.498285 | + | 0.167556i | ||||
\(481\) | −3.04223e7 | + | 1.72533e8i | −0.0124648 | + | 0.0706911i | ||||
\(482\) | 1.52064e9 | + | 1.27596e9i | 0.618530 | + | 0.519008i | ||||
\(483\) | −5.30569e8 | + | 1.30962e7i | −0.214253 | + | 0.00528846i | ||||
\(484\) | −3.45168e8 | − | 1.25631e8i | −0.138379 | − | 0.0503659i | ||||
\(485\) | −1.03349e8 | −0.0411349 | ||||||||
\(486\) | 3.89572e9 | + | 8.94401e8i | 1.53943 | + | 0.353431i | ||||
\(487\) | −2.02240e9 | −0.793442 | −0.396721 | − | 0.917939i | \(-0.629852\pi\) | ||||
−0.396721 | + | 0.917939i | \(0.629852\pi\) | |||||||
\(488\) | −1.39016e9 | − | 5.05977e8i | −0.541497 | − | 0.197089i | ||||
\(489\) | 1.53841e9 | − | 3.79729e7i | 0.594964 | − | 0.0146856i | ||||
\(490\) | −1.15428e9 | − | 9.68557e8i | −0.443226 | − | 0.371911i | ||||
\(491\) | 3.09187e8 | − | 1.75349e9i | 0.117879 | − | 0.668525i | −0.867405 | − | 0.497602i | \(-0.834214\pi\) |
0.985284 | − | 0.170923i | \(-0.0546750\pi\) | |||||||
\(492\) | 4.12349e9 | + | 1.38659e9i | 1.56094 | + | 0.524892i | ||||
\(493\) | 2.66626e9 | − | 2.23726e9i | 1.00216 | − | 0.840915i | ||||
\(494\) | −2.46319e8 | − | 4.26637e8i | −0.0919292 | − | 0.159226i | ||||
\(495\) | 1.24495e9 | − | 6.14964e7i | 0.461354 | − | 0.0227893i | ||||
\(496\) | −6.83864e8 | + | 1.18449e9i | −0.251642 | + | 0.435857i | ||||
\(497\) | 5.56372e7 | + | 3.15534e8i | 0.0203291 | + | 0.115292i | ||||
\(498\) | 1.02184e9 | + | 8.15315e8i | 0.370748 | + | 0.295817i | ||||
\(499\) | −1.59256e9 | + | 5.79645e8i | −0.573779 | + | 0.208838i | −0.612580 | − | 0.790409i | \(-0.709868\pi\) |
0.0388013 | + | 0.999247i | \(0.487646\pi\) | |||||||
\(500\) | −3.12447e9 | + | 1.13722e9i | −1.11785 | + | 0.406862i | ||||
\(501\) | −9.81698e7 | + | 6.50189e8i | −0.0348776 | + | 0.230998i | ||||
\(502\) | 8.70446e8 | + | 4.93654e9i | 0.307099 | + | 1.74165i | ||||
\(503\) | −6.38921e8 | + | 1.10664e9i | −0.223851 | + | 0.387722i | −0.955974 | − | 0.293451i | \(-0.905196\pi\) |
0.732123 | + | 0.681173i | \(0.238530\pi\) | |||||||
\(504\) | −8.81714e8 | − | 2.72465e8i | −0.306776 | − | 0.0947992i | ||||
\(505\) | 5.78005e8 | + | 1.00113e9i | 0.199715 | + | 0.345917i | ||||
\(506\) | 1.92774e9 | − | 1.61757e9i | 0.661489 | − | 0.555055i | ||||
\(507\) | −2.16610e9 | + | 1.91061e9i | −0.738160 | + | 0.651095i | ||||
\(508\) | 2.46445e8 | − | 1.39766e9i | 0.0834059 | − | 0.473019i | ||||
\(509\) | −1.52843e9 | − | 1.28250e9i | −0.513727 | − | 0.431068i | 0.348711 | − | 0.937230i | \(-0.386619\pi\) |
−0.862438 | + | 0.506162i | \(0.831064\pi\) | |||||||
\(510\) | −1.19827e9 | − | 1.96200e9i | −0.399998 | − | 0.654944i | ||||
\(511\) | −1.07079e9 | − | 3.89736e8i | −0.355003 | − | 0.129210i | ||||
\(512\) | −1.56158e9 | −0.514185 | ||||||||
\(513\) | −1.59736e9 | − | 2.34675e9i | −0.522386 | − | 0.767460i | ||||
\(514\) | −5.20792e9 | −1.69158 | ||||||||
\(515\) | 2.50187e8 | + | 9.10605e7i | 0.0807121 | + | 0.0293768i | ||||
\(516\) | −2.69343e9 | + | 4.94296e9i | −0.863041 | + | 1.58385i | ||||
\(517\) | 3.63175e8 | + | 3.04740e8i | 0.115584 | + | 0.0969867i | ||||
\(518\) | 2.04088e8 | − | 1.15744e9i | 0.0645155 | − | 0.365885i | ||||
\(519\) | −8.93915e8 | − | 4.42776e9i | −0.280679 | − | 1.39027i | ||||
\(520\) | −1.06069e8 | + | 8.90021e7i | −0.0330807 | + | 0.0277580i | ||||
\(521\) | 4.49772e8 | + | 7.79027e8i | 0.139335 | + | 0.241335i | 0.927245 | − | 0.374455i | \(-0.122170\pi\) |
−0.787910 | + | 0.615790i | \(0.788837\pi\) | |||||||
\(522\) | −4.85339e9 | − | 3.68020e9i | −1.49348 | − | 1.13246i | ||||
\(523\) | −1.81103e9 | + | 3.13680e9i | −0.553567 | + | 0.958805i | 0.444447 | + | 0.895805i | \(0.353400\pi\) |
−0.998014 | + | 0.0630003i | \(0.979933\pi\) | |||||||
\(524\) | −3.12993e8 | − | 1.77507e9i | −0.0950333 | − | 0.538961i | ||||
\(525\) | −1.02191e9 | + | 4.00768e8i | −0.308215 | + | 0.120875i | ||||
\(526\) | 7.99881e9 | − | 2.91133e9i | 2.39649 | − | 0.872251i | ||||
\(527\) | 6.72661e9 | − | 2.44829e9i | 2.00198 | − | 0.728661i | ||||
\(528\) | −8.59529e8 | + | 3.37087e8i | −0.254122 | + | 0.0996606i | ||||
\(529\) | −4.30375e8 | − | 2.44078e9i | −0.126402 | − | 0.716859i | ||||
\(530\) | −2.28314e9 | + | 3.95451e9i | −0.666141 | + | 1.15379i | ||||
\(531\) | −6.95606e8 | + | 5.52795e9i | −0.201620 | + | 1.60226i | ||||
\(532\) | 9.90075e8 | + | 1.71486e9i | 0.285087 | + | 0.493785i | ||||
\(533\) | 3.69929e8 | − | 3.10408e8i | 0.105821 | − | 0.0887947i | ||||
\(534\) | −4.54402e8 | − | 2.25076e9i | −0.129136 | − | 0.639637i | ||||
\(535\) | −3.85537e8 | + | 2.18649e9i | −0.108850 | + | 0.617318i | ||||
\(536\) | −2.26376e9 | − | 1.89952e9i | −0.634971 | − | 0.532804i | ||||
\(537\) | 2.16192e9 | − | 3.96755e9i | 0.602463 | − | 1.10564i | ||||
\(538\) | 8.06411e9 | + | 2.93510e9i | 2.23264 | + | 0.812614i | ||||
\(539\) | 3.16709e9 | 0.871163 | ||||||||
\(540\) | −1.72690e9 | + | 1.68180e9i | −0.471944 | + | 0.459617i | ||||
\(541\) | 2.40561e8 | 0.0653182 | 0.0326591 | − | 0.999467i | \(-0.489602\pi\) | ||||
0.0326591 | + | 0.999467i | \(0.489602\pi\) | |||||||
\(542\) | 6.55617e9 | + | 2.38625e9i | 1.76870 | + | 0.643752i | ||||
\(543\) | −2.63795e8 | − | 4.31930e8i | −0.0707079 | − | 0.115775i | ||||
\(544\) | 3.78263e9 | + | 3.17400e9i | 1.00739 | + | 0.845301i | ||||
\(545\) | 4.24676e8 | − | 2.40846e9i | 0.112375 | − | 0.637310i | ||||
\(546\) | −2.32100e8 | + | 2.04724e8i | −0.0610241 | + | 0.0538264i | ||||
\(547\) | −2.72198e9 | + | 2.28401e9i | −0.711098 | + | 0.596682i | −0.924907 | − | 0.380193i | \(-0.875857\pi\) |
0.213809 | + | 0.976876i | \(0.431413\pi\) | |||||||
\(548\) | 3.43468e9 | + | 5.94903e9i | 0.891567 | + | 1.54424i | ||||
\(549\) | −2.09670e9 | + | 1.94347e9i | −0.540797 | + | 0.501273i | ||||
\(550\) | 2.60236e9 | − | 4.50743e9i | 0.666958 | − | 1.15521i | ||||
\(551\) | 7.51183e8 | + | 4.26017e9i | 0.191300 | + | 1.08492i | ||||
\(552\) | −2.40490e8 | + | 1.59279e9i | −0.0608569 | + | 0.403062i | ||||
\(553\) | 2.39459e8 | − | 8.71561e7i | 0.0602135 | − | 0.0219159i | ||||
\(554\) | −3.18884e9 | + | 1.16064e9i | −0.796800 | + | 0.290011i | ||||
\(555\) | −7.94291e8 | − | 6.33757e8i | −0.197221 | − | 0.157361i | ||||
\(556\) | −7.31810e8 | − | 4.15030e9i | −0.180566 | − | 1.02404i | ||||
\(557\) | −1.01299e9 | + | 1.75455e9i | −0.248377 | + | 0.430202i | −0.963076 | − | 0.269231i | \(-0.913231\pi\) |
0.714699 | + | 0.699433i | \(0.246564\pi\) | |||||||
\(558\) | −6.79107e9 | − | 1.05264e10i | −1.65470 | − | 2.56484i | ||||
\(559\) | 3.12429e8 | + | 5.41144e8i | 0.0756503 | + | 0.131030i | ||||
\(560\) | −1.50136e8 | + | 1.25979e8i | −0.0361267 | + | 0.0303139i | ||||
\(561\) | 4.58010e9 | + | 1.54013e9i | 1.09523 | + | 0.368288i | ||||
\(562\) | 1.11112e8 | − | 6.30149e8i | 0.0264049 | − | 0.149750i | ||||
\(563\) | 3.25885e9 | + | 2.73450e9i | 0.769635 | + | 0.645800i | 0.940615 | − | 0.339474i | \(-0.110249\pi\) |
−0.170981 | + | 0.985274i | \(0.554694\pi\) | |||||||
\(564\) | −9.16557e8 | + | 2.26236e7i | −0.215121 | + | 0.00530988i | ||||
\(565\) | 1.61311e9 | + | 5.87126e8i | 0.376267 | + | 0.136950i | ||||
\(566\) | −3.95240e9 | −0.916227 | ||||||||
\(567\) | −1.24654e9 | + | 1.27541e9i | −0.287188 | + | 0.293839i | ||||
\(568\) | 9.72464e8 | 0.222666 | ||||||||
\(569\) | 3.08913e9 | + | 1.12435e9i | 0.702980 | + | 0.255864i | 0.668683 | − | 0.743548i | \(-0.266858\pi\) |
0.0342975 | + | 0.999412i | \(0.489081\pi\) | |||||||
\(570\) | 2.85647e9 | − | 7.05069e7i | 0.646052 | − | 0.0159467i | ||||
\(571\) | 3.49918e9 | + | 2.93616e9i | 0.786575 | + | 0.660014i | 0.944895 | − | 0.327373i | \(-0.106163\pi\) |
−0.158321 | + | 0.987388i | \(0.550608\pi\) | |||||||
\(572\) | 1.52678e8 | − | 8.65883e8i | 0.0341108 | − | 0.193452i | ||||
\(573\) | −2.38865e9 | − | 8.03222e8i | −0.530410 | − | 0.178359i | ||||
\(574\) | −2.48168e9 | + | 2.08237e9i | −0.547714 | + | 0.459586i | ||||
\(575\) | 9.58004e8 | + | 1.65931e9i | 0.210150 | + | 0.363991i | ||||
\(576\) | 3.40064e9 | − | 6.62488e9i | 0.741451 | − | 1.44444i | ||||
\(577\) | −4.25167e9 | + | 7.36410e9i | −0.921391 | + | 1.59590i | −0.124125 | + | 0.992267i | \(0.539612\pi\) |
−0.797266 | + | 0.603629i | \(0.793721\pi\) | |||||||
\(578\) | −2.74300e8 | − | 1.55563e9i | −0.0590852 | − | 0.335089i | ||||
\(579\) | −5.59448e9 | − | 4.46379e9i | −1.19780 | − | 0.955715i | ||||
\(580\) | 3.45174e9 | − | 1.25633e9i | 0.734582 | − | 0.267366i | ||||
\(581\) | −5.48089e8 | + | 1.99488e8i | −0.115940 | + | 0.0421988i | ||||
\(582\) | −1.04674e8 | + | 6.93267e8i | −0.0220094 | + | 0.145771i | ||||
\(583\) | −1.66661e9 | − | 9.45182e9i | −0.348333 | − | 1.97549i | ||||
\(584\) | −1.72929e9 | + | 2.99521e9i | −0.359271 | + | 0.622276i | ||||
\(585\) | 5.94086e7 | + | 2.60900e8i | 0.0122689 | + | 0.0538800i | ||||
\(586\) | −2.03697e9 | − | 3.52813e9i | −0.418160 | − | 0.724275i | ||||
\(587\) | 7.72415e8 | − | 6.48133e8i | 0.157622 | − | 0.132261i | −0.560566 | − | 0.828110i | \(-0.689416\pi\) |
0.718188 | + | 0.695849i | \(0.244972\pi\) | |||||||
\(588\) | −4.59328e9 | + | 4.05151e9i | −0.931756 | + | 0.821857i | ||||
\(589\) | −1.54493e9 | + | 8.76171e9i | −0.311533 | + | 1.76679i | ||||
\(590\) | −4.29592e9 | − | 3.60470e9i | −0.861141 | − | 0.722583i | ||||
\(591\) | 4.81728e9 | + | 7.88764e9i | 0.959943 | + | 1.57178i | ||||
\(592\) | 7.07269e8 | + | 2.57425e8i | 0.140107 | + | 0.0509946i | ||||
\(593\) | −2.37491e9 | −0.467686 | −0.233843 | − | 0.972274i | \(-0.575130\pi\) | ||||
−0.233843 | + | 0.972274i | \(0.575130\pi\) | |||||||
\(594\) | 8.48395e8 | − | 8.41345e9i | 0.166091 | − | 1.64711i | ||||
\(595\) | 1.02575e9 | 0.199634 | ||||||||
\(596\) | −8.54107e9 | − | 3.10870e9i | −1.65253 | − | 0.601473i | ||||
\(597\) | 2.55853e9 | − | 4.69541e9i | 0.492132 | − | 0.903156i | ||||
\(598\) | 4.13826e8 | + | 3.47241e8i | 0.0791341 | + | 0.0664014i | ||||
\(599\) | 1.57671e9 | − | 8.94197e9i | 0.299749 | − | 1.69996i | −0.347497 | − | 0.937681i | \(-0.612968\pi\) |
0.647246 | − | 0.762281i | \(-0.275921\pi\) | |||||||
\(600\) | 6.59315e8 | + | 3.26573e9i | 0.124613 | + | 0.617236i | ||||
\(601\) | −7.06784e8 | + | 5.93062e8i | −0.132809 | + | 0.111440i | −0.706772 | − | 0.707441i | \(-0.749849\pi\) |
0.573964 | + | 0.818881i | \(0.305405\pi\) | |||||||
\(602\) | −2.09594e9 | − | 3.63027e9i | −0.391553 | − | 0.678190i | ||||
\(603\) | −5.26347e9 | + | 2.21558e9i | −0.977600 | + | 0.411506i | ||||
\(604\) | 7.56258e9 | − | 1.30988e10i | 1.39650 | − | 2.41881i | ||||
\(605\) | −4.10664e7 | − | 2.32899e8i | −0.00753950 | − | 0.0427586i | ||||
\(606\) | 7.30104e9 | − | 2.86330e9i | 1.33269 | − | 0.522652i | ||||
\(607\) | −1.24277e9 | + | 4.52331e8i | −0.225543 | + | 0.0820910i | −0.452320 | − | 0.891856i | \(-0.649403\pi\) |
0.226777 | + | 0.973947i | \(0.427181\pi\) | |||||||
\(608\) | −5.76703e9 | + | 2.09903e9i | −1.04061 | + | 0.378753i | ||||
\(609\) | 2.53002e9 | − | 9.92217e8i | 0.453904 | − | 0.178011i | ||||
\(610\) | −4.99682e8 | − | 2.83384e9i | −0.0891332 | − | 0.505499i | ||||
\(611\) | −5.08862e7 | + | 8.81375e7i | −0.00902518 | + | 0.0156321i | ||||
\(612\) | −8.61281e9 | + | 3.62543e9i | −1.51885 | + | 0.639337i | ||||
\(613\) | −4.79933e9 | − | 8.31269e9i | −0.841529 | − | 1.45757i | −0.888602 | − | 0.458680i | \(-0.848323\pi\) |
0.0470727 | − | 0.998891i | \(-0.485011\pi\) | |||||||
\(614\) | −4.25675e9 | + | 3.57183e9i | −0.742144 | + | 0.622733i | ||||
\(615\) | 5.54288e8 | + | 2.74551e9i | 0.0960888 | + | 0.475949i | ||||
\(616\) | −3.39025e8 | + | 1.92271e9i | −0.0584385 | + | 0.331421i | ||||
\(617\) | −4.28770e8 | − | 3.59781e8i | −0.0734897 | − | 0.0616651i | 0.605303 | − | 0.795995i | \(-0.293052\pi\) |
−0.678793 | + | 0.734330i | \(0.737496\pi\) | |||||||
\(618\) | 8.64230e8 | − | 1.58603e9i | 0.147289 | − | 0.270303i | ||||
\(619\) | −1.09196e10 | − | 3.97440e9i | −1.85050 | − | 0.673525i | −0.984987 | − | 0.172631i | \(-0.944773\pi\) |
−0.865508 | − | 0.500894i | \(-0.833004\pi\) | |||||||
\(620\) | 7.55466e9 | 1.27304 | ||||||||
\(621\) | 2.52612e9 | + | 1.81909e9i | 0.423286 | + | 0.304813i | ||||
\(622\) | 1.14395e8 | 0.0190607 | ||||||||
\(623\) | 9.62714e8 | + | 3.50399e8i | 0.159510 | + | 0.0580571i | ||||
\(624\) | −1.03303e8 | − | 1.69145e8i | −0.0170203 | − | 0.0278685i | ||||
\(625\) | 2.12752e9 | + | 1.78520e9i | 0.348573 | + | 0.292488i | ||||
\(626\) | −1.88305e9 | + | 1.06793e10i | −0.306797 | + | 1.73993i | ||||
\(627\) | −4.50398e9 | + | 3.97274e9i | −0.729726 | + | 0.643656i | ||||
\(628\) | −6.10976e9 | + | 5.12670e9i | −0.984386 | + | 0.825998i | ||||
\(629\) | −1.96961e9 | − | 3.41146e9i | −0.315575 | − | 0.546592i | ||||
\(630\) | −3.98544e8 | − | 1.75025e9i | −0.0635015 | − | 0.278874i | ||||
\(631\) | −4.49642e8 | + | 7.78802e8i | −0.0712466 | + | 0.123403i | −0.899448 | − | 0.437028i | \(-0.856031\pi\) |
0.828201 | + | 0.560431i | \(0.189364\pi\) | |||||||
\(632\) | −1.34306e8 | − | 7.61686e8i | −0.0211634 | − | 0.120024i | ||||
\(633\) | 1.58902e9 | − | 1.05243e10i | 0.249010 | − | 1.64922i | ||||
\(634\) | 3.57353e7 | − | 1.30066e7i | 0.00556910 | − | 0.00202699i | ||||
\(635\) | 8.58632e8 | − | 3.12517e8i | 0.133076 | − | 0.0484356i | ||||
\(636\) | 1.45084e10 | + | 1.15761e10i | 2.23624 | + | 1.78428i | ||||
\(637\) | 1.18059e8 | + | 6.69545e8i | 0.0180972 | + | 0.102634i | ||||
\(638\) | −6.44290e9 | + | 1.11594e10i | −0.982221 | + | 1.70126i | ||||
\(639\) | 8.58200e8 | − | 1.67188e9i | 0.130117 | − | 0.253485i | ||||
\(640\) | 2.00449e9 | + | 3.47188e9i | 0.302256 | + | 0.523522i | ||||
\(641\) | −3.79303e9 | + | 3.18273e9i | −0.568831 | + | 0.477306i | −0.881258 | − | 0.472636i | \(-0.843303\pi\) |
0.312427 | + | 0.949942i | \(0.398858\pi\) | |||||||
\(642\) | 1.42765e10 | + | 4.80071e9i | 2.12937 | + | 0.716033i | ||||
\(643\) | 2.25317e9 | − | 1.27784e10i | 0.334238 | − | 1.89556i | −0.100389 | − | 0.994948i | \(-0.532009\pi\) |
0.434627 | − | 0.900611i | \(-0.356880\pi\) | |||||||
\(644\) | −1.66337e9 | − | 1.39573e9i | −0.245407 | − | 0.205921i | ||||
\(645\) | −3.62312e9 | + | 8.94305e7i | −0.531648 | + | 0.0131228i | ||||
\(646\) | 1.04088e10 | + | 3.78851e9i | 1.51911 | + | 0.552910i | ||||
\(647\) | 1.05373e10 | 1.52955 | 0.764776 | − | 0.644296i | \(-0.222850\pi\) | ||||
0.764776 | + | 0.644296i | \(0.222850\pi\) | |||||||
\(648\) | 3.15525e9 | + | 4.39815e9i | 0.455535 | + | 0.634976i | ||||
\(649\) | 1.17870e10 | 1.69258 | ||||||||
\(650\) | 1.04991e9 | + | 3.82136e8i | 0.149953 | + | 0.0545784i | ||||
\(651\) | 5.58754e9 | − | 1.37919e8i | 0.793756 | − | 0.0195925i | ||||
\(652\) | 4.82300e9 | + | 4.04697e9i | 0.681476 | + | 0.571826i | ||||
\(653\) | −3.69025e8 | + | 2.09284e9i | −0.0518632 | + | 0.294131i | −0.999696 | − | 0.0246356i | \(-0.992157\pi\) |
0.947833 | + | 0.318766i | \(0.103269\pi\) | |||||||
\(654\) | −1.57258e10 | − | 5.28807e9i | −2.19832 | − | 0.739222i | ||||
\(655\) | 8.88978e8 | − | 7.45941e8i | 0.123608 | − | 0.103719i | ||||
\(656\) | −1.03732e9 | − | 1.79669e9i | −0.143466 | − | 0.248490i | ||||
\(657\) | 3.62334e9 | + | 5.61630e9i | 0.498459 | + | 0.772631i | ||||
\(658\) | 3.41371e8 | − | 5.91272e8i | 0.0467128 | − | 0.0809089i | ||||
\(659\) | 8.49358e8 | + | 4.81695e9i | 0.115609 | + | 0.655651i | 0.986447 | + | 0.164081i | \(0.0524659\pi\) |
−0.870838 | + | 0.491570i | \(0.836423\pi\) | |||||||
\(660\) | 3.98626e9 | + | 3.18060e9i | 0.539712 | + | 0.430631i | ||||
\(661\) | −6.41537e9 | + | 2.33500e9i | −0.864006 | + | 0.314472i | −0.735737 | − | 0.677267i | \(-0.763164\pi\) |
−0.128269 | + | 0.991739i | \(0.540942\pi\) | |||||||
\(662\) | 1.94361e10 | − | 7.07418e9i | 2.60380 | − | 0.947705i | ||||
\(663\) | −1.54864e8 | + | 1.02568e9i | −0.0206373 | + | 0.136683i | ||||
\(664\) | 3.07407e8 | + | 1.74339e9i | 0.0407498 | + | 0.231104i | ||||
\(665\) | −6.37441e8 | + | 1.10408e9i | −0.0840551 | + | 0.145588i | ||||
\(666\) | −5.05573e9 | + | 4.68624e9i | −0.663169 | + | 0.614702i | ||||
\(667\) | −2.37182e9 | − | 4.10811e9i | −0.309486 | − | 0.536045i | ||||
\(668\) | −2.06086e9 | + | 1.72926e9i | −0.267504 | + | 0.224462i | ||||
\(669\) | −1.02991e10 | + | 9.08434e9i | −1.32987 | + | 1.17301i | ||||
\(670\) | 9.98140e8 | − | 5.66073e9i | 0.128212 | − | 0.727128i | ||||
\(671\) | 4.63319e9 | + | 3.88771e9i | 0.592040 | + | 0.496781i | ||||
\(672\) | 2.00956e9 | + | 3.29038e9i | 0.255452 | + | 0.418268i | ||||
\(673\) | 5.98629e9 | + | 2.17883e9i | 0.757015 | + | 0.275531i | 0.691555 | − | 0.722324i | \(-0.256926\pi\) |
0.0654607 | + | 0.997855i | \(0.479148\pi\) | |||||||
\(674\) | 9.80983e9 | 1.23410 | ||||||||
\(675\) | 6.19636e9 | + | 1.74850e9i | 0.775485 | + | 0.218828i | ||||
\(676\) | −1.18169e10 | −1.47127 | ||||||||
\(677\) | −8.67542e9 | − | 3.15759e9i | −1.07456 | − | 0.391107i | −0.256679 | − | 0.966497i | \(-0.582628\pi\) |
−0.817880 | + | 0.575390i | \(0.804850\pi\) | |||||||
\(678\) | 5.57225e9 | − | 1.02261e10i | 0.686636 | − | 1.26011i | ||||
\(679\) | −2.39639e8 | − | 2.01081e8i | −0.0293774 | − | 0.0246506i | ||||
\(680\) | 5.40620e8 | − | 3.06601e9i | 0.0659342 | − | 0.373931i | ||||
\(681\) | −1.65323e8 | − | 8.18882e8i | −0.0200595 | − | 0.0993589i | ||||
\(682\) | −2.03015e10 | + | 1.70350e10i | −2.45065 | + | 2.05634i | ||||
\(683\) | −2.39674e9 | − | 4.15128e9i | −0.287839 | − | 0.498551i | 0.685455 | − | 0.728115i | \(-0.259603\pi\) |
−0.973294 | + | 0.229564i | \(0.926270\pi\) | |||||||
\(684\) | 1.45005e9 | − | 1.15235e10i | 0.173255 | − | 1.37685i | ||||
\(685\) | −2.21135e9 | + | 3.83017e9i | −0.262870 | + | 0.455304i | ||||
\(686\) | −1.74486e9 | − | 9.89559e9i | −0.206360 | − | 1.17033i | ||||
\(687\) | −8.01318e9 | + | 3.14258e9i | −0.942880 | + | 0.369776i | ||||
\(688\) | 2.52258e9 | − | 9.18145e8i | 0.295315 | − | 0.107486i | ||||
\(689\) | 1.93606e9 | − | 7.04667e8i | 0.225502 | − | 0.0820761i | ||||
\(690\) | −2.91697e9 | + | 1.14397e9i | −0.338033 | + | 0.132569i | ||||
\(691\) | −1.70425e8 | − | 9.66530e8i | −0.0196499 | − | 0.111440i | 0.973405 | − | 0.229090i | \(-0.0735751\pi\) |
−0.993055 | + | 0.117650i | \(0.962464\pi\) | |||||||
\(692\) | 9.24034e9 | − | 1.60047e10i | 1.06003 | − | 1.83602i | ||||
\(693\) | 3.00637e9 | + | 2.27965e9i | 0.343143 | + | 0.260197i | ||||
\(694\) | −1.24631e9 | − | 2.15868e9i | −0.141537 | − | 0.245149i | ||||
\(695\) | 2.07852e9 | − | 1.74408e9i | 0.234859 | − | 0.197070i | ||||
\(696\) | −1.63232e9 | − | 8.08526e9i | −0.183516 | − | 0.908995i | ||||
\(697\) | −1.88549e9 | + | 1.06931e10i | −0.210916 | + | 1.19616i | ||||
\(698\) | −7.36339e8 | − | 6.17862e8i | −0.0819566 | − | 0.0687697i | ||||
\(699\) | 1.91697e9 | − | 3.51801e9i | 0.212298 | − | 0.389607i | ||||
\(700\) | −4.22009e9 | − | 1.53599e9i | −0.465028 | − | 0.169256i | ||||
\(701\) | −5.01902e9 | −0.550308 | −0.275154 | − | 0.961400i | \(-0.588729\pi\) | ||||
−0.275154 | + | 0.961400i | \(0.588729\pi\) | |||||||
\(702\) | 1.81029e9 | − | 1.34270e8i | 0.197500 | − | 0.0146487i | ||||
\(703\) | 4.89595e9 | 0.531488 | ||||||||
\(704\) | −1.48040e10 | − | 5.38821e9i | −1.59910 | − | 0.582023i | ||||
\(705\) | −3.07668e8 | − | 5.03765e8i | −0.0330690 | − | 0.0541460i | ||||
\(706\) | −1.52880e10 | − | 1.28281e10i | −1.63506 | − | 1.37198i | ||||
\(707\) | −6.07615e8 | + | 3.44596e9i | −0.0646637 | + | 0.366726i | ||||
\(708\) | −1.70949e10 | + | 1.50786e10i | −1.81030 | + | 1.59678i | ||||
\(709\) | −1.26803e10 | + | 1.06400e10i | −1.33618 | + | 1.12119i | −0.353595 | + | 0.935398i | \(0.615041\pi\) |
−0.982589 | + | 0.185793i | \(0.940515\pi\) | |||||||
\(710\) | 9.45775e8 | + | 1.63813e9i | 0.0991708 | + | 0.171769i | ||||
\(711\) | −1.42803e9 | − | 4.41287e8i | −0.149003 | − | 0.0460445i | ||||
\(712\) | 1.55475e9 | − | 2.69290e9i | 0.161428 | − | 0.279602i | ||||
\(713\) | −1.69412e9 | − | 9.60781e9i | −0.175037 | − | 0.992684i | ||||
\(714\) | 1.03890e9 | − | 6.88078e9i | 0.106815 | − | 0.707447i | ||||
\(715\) | 5.31943e8 | − | 1.93611e8i | 0.0544245 | − | 0.0198089i | ||||
\(716\) | 1.73710e10 | − | 6.32251e9i | 1.76859 | − | 0.643716i | ||||
\(717\) | 1.19257e8 | + | 9.51537e7i | 0.0120827 | + | 0.00964070i | ||||
\(718\) | 3.46893e9 | + | 1.96733e10i | 0.349752 | + | 1.98354i | ||||
\(719\) | 4.15265e9 | − | 7.19260e9i | 0.416652 | − | 0.721663i | −0.578948 | − | 0.815365i | \(-0.696537\pi\) |
0.995600 | + | 0.0937014i | \(0.0298699\pi\) | |||||||
\(720\) | 1.14815e9 | − | 5.67147e7i | 0.114640 | − | 0.00566281i | ||||
\(721\) | 4.02945e8 | + | 6.97921e8i | 0.0400380 | + | 0.0693478i | ||||
\(722\) | 1.69004e9 | − | 1.41811e9i | 0.167116 | − | 0.140227i | ||||
\(723\) | 4.92395e9 | + | 1.65576e9i | 0.484540 | + | 0.162934i | ||||
\(724\) | 3.59565e8 | − | 2.03920e9i | 0.0352122 | − | 0.199698i | ||||
\(725\) | −7.51567e9 | − | 6.30639e9i | −0.732461 | − | 0.614608i | ||||
\(726\) | −1.60388e9 | + | 3.95890e7i | −0.155559 | + | 0.00383970i | ||||
\(727\) | 1.77701e10 | + | 6.46778e9i | 1.71522 | + | 0.624287i | 0.997408 | − | 0.0719541i | \(-0.0229235\pi\) |
0.717808 | + | 0.696242i | \(0.245146\pi\) | |||||||
\(728\) | −4.19112e8 | −0.0402597 | ||||||||
\(729\) | 1.03459e10 | − | 1.54320e9i | 0.989058 | − | 0.147529i | ||||
\(730\) | −6.72731e9 | −0.640047 | ||||||||
\(731\) | −1.32025e10 | − | 4.80532e9i | −1.25010 | − | 0.455000i | ||||
\(732\) | −1.16929e10 | + | 2.88620e8i | −1.10188 | + | 0.0271980i | ||||
\(733\) | −5.47152e8 | − | 4.59115e8i | −0.0513149 | − | 0.0430583i | 0.616770 | − | 0.787144i | \(-0.288441\pi\) |
−0.668084 | + | 0.744085i | \(0.732886\pi\) | |||||||
\(734\) | 1.85601e8 | − | 1.05260e9i | 0.0173238 | − | 0.0982484i | ||||
\(735\) | −3.73766e9 | − | 1.25685e9i | −0.347212 | − | 0.116755i | ||||
\(736\) | 5.15533e9 | − | 4.32583e9i | 0.476633 | − | 0.399942i | ||||
\(737\) | 6.04079e9 | + | 1.04629e10i | 0.555850 | + | 0.962760i | ||||
\(738\) | 1.89783e10 | − | 9.37465e8i | 1.73804 | − | 0.0858535i | ||||
\(739\) | 9.91757e8 | − | 1.71777e9i | 0.0903961 | − | 0.156571i | −0.817282 | − | 0.576238i | \(-0.804520\pi\) |
0.907678 | + | 0.419668i | \(0.137853\pi\) | |||||||
\(740\) | −7.21912e8 | − | 4.09417e9i | −0.0654897 | − | 0.371411i | ||||
\(741\) | −1.00776e9 | − | 8.04082e8i | −0.0909899 | − | 0.0726000i | ||||
\(742\) | −1.29881e10 | + | 4.72727e9i | −1.16716 | + | 0.424812i | ||||
\(743\) | 4.28075e9 | − | 1.55807e9i | 0.382877 | − | 0.139356i | −0.143409 | − | 0.989664i | \(-0.545806\pi\) |
0.526286 | + | 0.850308i | \(0.323584\pi\) | |||||||
\(744\) | 2.53265e9 | − | 1.67740e10i | 0.225460 | − | 1.49325i | ||||
\(745\) | −1.01618e9 | − | 5.76302e9i | −0.0900371 | − | 0.510626i | ||||
\(746\) | −3.78155e9 | + | 6.54984e9i | −0.333491 | + | 0.577623i | ||||
\(747\) | 3.26856e9 | + | 1.01004e9i | 0.286903 | + | 0.0886581i | ||||
\(748\) | 9.88477e9 | + | 1.71209e10i | 0.863597 | + | 1.49579i | ||||
\(749\) | −5.14810e9 | + | 4.31977e9i | −0.447673 | + | 0.375642i | ||||
\(750\) | −1.08914e10 | + | 9.60679e9i | −0.942692 | + | 0.831503i | ||||
\(751\) | 2.00820e9 | − | 1.13891e10i | 0.173008 | − | 0.981178i | −0.767410 | − | 0.641157i | \(-0.778455\pi\) |
0.940418 | − | 0.340021i | \(-0.110434\pi\) | |||||||
\(752\) | 3.34936e8 | + | 2.81045e8i | 0.0287210 | + | 0.0240998i | ||||
\(753\) | 6.83746e9 | + | 1.11954e10i | 0.583596 | + | 0.955560i | ||||
\(754\) | −2.59935e9 | − | 9.46088e8i | −0.220834 | − | 0.0803770i | ||||
\(755\) | 9.73804e9 | 0.823488 | ||||||||
\(756\) | −7.27643e9 | + | 5.39694e8i | −0.612480 | + | 0.0454278i | ||||
\(757\) | 7.43587e9 | 0.623012 | 0.311506 | − | 0.950244i | \(-0.399167\pi\) | ||||
0.311506 | + | 0.950244i | \(0.399167\pi\) | |||||||
\(758\) | 2.69136e10 | + | 9.79574e9i | 2.24455 | + | 0.816949i | ||||
\(759\) | 3.15110e9 | − | 5.78287e9i | 0.261587 | − | 0.480062i | ||||
\(760\) | 2.96416e9 | + | 2.48723e9i | 0.244937 | + | 0.205527i | ||||
\(761\) | −2.22643e9 | + | 1.26267e10i | −0.183132 | + | 1.03859i | 0.745201 | + | 0.666840i | \(0.232354\pi\) |
−0.928333 | + | 0.371751i | \(0.878758\pi\) | |||||||
\(762\) | −1.22673e9 | − | 6.07625e9i | −0.100440 | − | 0.497500i | ||||
\(763\) | 5.67072e9 | − | 4.75830e9i | 0.462171 | − | 0.387807i | ||||
\(764\) | −5.15518e9 | − | 8.92904e9i | −0.418232 | − | 0.724399i | ||||
\(765\) | −4.79404e9 | − | 3.63520e9i | −0.387157 | − | 0.293571i | ||||
\(766\) | 8.97094e8 | − | 1.55381e9i | 0.0721170 | − | 0.124910i | ||||
\(767\) | 4.39383e8 | + | 2.49186e9i | 0.0351608 | + | 0.199407i | ||||
\(768\) | 6.34455e9 | − | 2.48819e9i | 0.505402 | − | 0.198207i | ||||
\(769\) | 1.82759e10 | − | 6.65187e9i | 1.44922 | − | 0.527474i | 0.506850 | − | 0.862034i | \(-0.330810\pi\) |
0.942374 | + | 0.334560i | \(0.108588\pi\) | |||||||
\(770\) | −3.56855e9 | + | 1.29885e9i | −0.281692 | + | 0.102527i | ||||
\(771\) | −1.26883e10 | + | 4.97605e9i | −0.997040 | + | 0.391016i | ||||
\(772\) | −5.08469e9 | − | 2.88367e10i | −0.397744 | − | 2.25572i | ||||
\(773\) | −6.09554e9 | + | 1.05578e10i | −0.474662 | + | 0.822138i | −0.999579 | − | 0.0290152i | \(-0.990763\pi\) |
0.524917 | + | 0.851153i | \(0.324096\pi\) | |||||||
\(774\) | −3.06967e9 | + | 2.43946e10i | −0.237957 | + | 1.89104i | ||||
\(775\) | −1.00889e10 | − | 1.74746e10i | −0.778556 | − | 1.34850i | ||||
\(776\) | −7.27338e8 | + | 6.10309e8i | −0.0558753 | + | 0.0468850i | ||||
\(777\) | −6.08681e8 | − | 3.01493e9i | −0.0465496 | − | 0.230570i | ||||
\(778\) | −2.46322e9 | + | 1.39696e10i | −0.187532 | + | 1.06355i | ||||
\(779\) | −1.03379e10 | − | 8.67457e9i | −0.783526 | − | 0.657456i | ||||
\(780\) | −5.23807e8 | + | 9.61288e8i | −0.0395221 | + | 0.0725308i | ||||
\(781\) | −3.73599e9 | − | 1.35979e9i | −0.280626 | − | 0.102139i | ||||
\(782\) | −1.21465e10 | −0.908299 | ||||||||
\(783\) | −1.53409e10 | − | 4.32892e9i | −1.14205 | − | 0.322265i | ||||
\(784\) | 2.92083e9 | 0.216471 | ||||||||
\(785\) | −4.82534e9 | − | 1.75628e9i | −0.356028 | − | 0.129583i | ||||
\(786\) | −4.10341e9 | − | 6.71878e9i | −0.301416 | − | 0.493528i | ||||
\(787\) | −1.53527e10 | − | 1.28824e10i | −1.12272 | − | 0.942077i | −0.123985 | − | 0.992284i | \(-0.539567\pi\) |
−0.998739 | + | 0.0502071i | \(0.984012\pi\) | |||||||
\(788\) | −6.56617e9 | + | 3.72386e10i | −0.478047 | + | 2.71114i | ||||
\(789\) | 1.67062e10 | − | 1.47357e10i | 1.21090 | − | 1.06807i | ||||
\(790\) | 1.15245e9 | − | 9.67022e8i | 0.0831626 | − | 0.0697817i | ||||
\(791\) | 2.59804e9 | + | 4.49994e9i | 0.186650 | + | 0.323288i | ||||
\(792\) | 8.39842e9 | − | 7.78463e9i | 0.600703 | − | 0.556801i | ||||
\(793\) | −6.49179e8 | + | 1.12441e9i | −0.0462283 | + | 0.0800698i | ||||
\(794\) | 6.34393e9 | + | 3.59782e10i | 0.449766 | + | 2.55075i | ||||
\(795\) | −1.78406e9 | + | 1.18160e10i | −0.125929 | + | 0.834039i | ||||
\(796\) | 2.05577e10 | − | 7.48239e9i | 1.44470 | − | 0.525829i | ||||
\(797\) | −1.83070e10 | + | 6.66322e9i | −1.28090 | + | 0.466208i | −0.890729 | − | 0.454535i | \(-0.849805\pi\) |
−0.390168 | + | 0.920744i | \(0.627583\pi\) | |||||||
\(798\) | 6.76057e9 | + | 5.39420e9i | 0.470948 | + | 0.375765i | ||||
\(799\) | −3.97365e8 | − | 2.25357e9i | −0.0275598 | − | 0.156299i | ||||
\(800\) | 6.95945e9 | − | 1.20541e10i | 0.480574 | − | 0.832378i | ||||
\(801\) | −3.25763e9 | − | 5.04944e9i | −0.223969 | − | 0.347160i | ||||
\(802\) | 5.09076e9 | + | 8.81746e9i | 0.348476 | + | 0.603578i | ||||
\(803\) | 1.08317e10 | − | 9.08890e9i | 0.738233 | − | 0.619451i | ||||
\(804\) | −2.21458e10 | − | 7.44688e9i | −1.50278 | − | 0.505334i | ||||
\(805\) | 2.42759e8 | − | 1.37676e9i | 0.0164017 | − | 0.0930189i | ||||
\(806\) | −4.35809e9 | − | 3.65687e9i | −0.293172 | − | 0.246001i | ||||
\(807\) | 2.24514e10 | − | 5.54172e8i | 1.50378 | − | 0.0371183i | ||||
\(808\) | 9.97982e9 | + | 3.63236e9i | 0.665554 | + | 0.242242i | ||||
\(809\) | −2.29327e10 | −1.52278 | −0.761388 | − | 0.648297i | \(-0.775482\pi\) | ||||
−0.761388 | + | 0.648297i | \(0.775482\pi\) | |||||||
\(810\) | −4.34009e9 | + | 9.59251e9i | −0.286947 | + | 0.634212i | ||||
\(811\) | 2.46948e10 | 1.62567 | 0.812835 | − | 0.582495i | \(-0.197923\pi\) | ||||
0.812835 | + | 0.582495i | \(0.197923\pi\) | |||||||
\(812\) | 1.04481e10 | + | 3.80278e9i | 0.684841 | + | 0.249262i | ||||
\(813\) | 1.82531e10 | − | 4.50546e8i | 1.19130 | − | 0.0294051i | ||||
\(814\) | 1.11719e10 | + | 9.37433e9i | 0.726008 | + | 0.609193i | ||||
\(815\) | −7.03890e8 | + | 3.99196e9i | −0.0455463 | + | 0.258306i | ||||
\(816\) | 4.22397e9 | + | 1.42038e9i | 0.272148 | + | 0.0915142i | ||||
\(817\) | 1.33768e10 | − | 1.12244e10i | 0.858172 | − | 0.720091i | ||||
\(818\) | 4.52116e9 | + | 7.83088e9i | 0.288811 | + | 0.500235i | ||||
\(819\) | −3.69866e8 | + | 7.20545e8i | −0.0235262 | + | 0.0458319i | ||||
\(820\) | −5.72964e9 | + | 9.92403e9i | −0.362893 | + | 0.628550i | ||||
\(821\) | 1.54601e9 | + | 8.76785e9i | 0.0975013 | + | 0.552958i | 0.993952 | + | 0.109814i | \(0.0350256\pi\) |
−0.896451 | + | 0.443143i | \(0.853863\pi\) | |||||||
\(822\) | 2.34532e10 | + | 1.87131e10i | 1.47282 | + | 1.17515i | ||||
\(823\) | −2.13900e10 | + | 7.78532e9i | −1.33755 | + | 0.486829i | −0.909041 | − | 0.416707i | \(-0.863184\pi\) |
−0.428512 | + | 0.903536i | \(0.640962\pi\) | |||||||
\(824\) | 2.29847e9 | − | 8.36576e8i | 0.143118 | − | 0.0520907i | ||||
\(825\) | 2.03351e9 | − | 1.34681e10i | 0.126083 | − | 0.835062i | ||||
\(826\) | −2.94761e9 | − | 1.67167e10i | −0.181987 | − | 1.03210i | ||||
\(827\) | 1.91120e9 | − | 3.31030e9i | 0.117500 | − | 0.203516i | −0.801276 | − | 0.598294i | \(-0.795845\pi\) |
0.918776 | + | 0.394779i | \(0.129179\pi\) | |||||||
\(828\) | 2.82767e9 | + | 1.24180e10i | 0.173110 | + | 0.760233i | ||||
\(829\) | 1.54318e9 | + | 2.67286e9i | 0.0940751 | + | 0.162943i | 0.909222 | − | 0.416311i | \(-0.136677\pi\) |
−0.815147 | + | 0.579254i | \(0.803344\pi\) | |||||||
\(830\) | −2.63780e9 | + | 2.21338e9i | −0.160129 | + | 0.134364i | ||||
\(831\) | −6.66015e9 | + | 5.87460e9i | −0.402606 | + | 0.355120i | ||||
\(832\) | 5.87262e8 | − | 3.33053e9i | 0.0353509 | − | 0.200485i | ||||
\(833\) | −1.17104e10 | − | 9.82618e9i | −0.701962 | − | 0.589016i | ||||
\(834\) | −9.59418e9 | − | 1.57092e10i | −0.572699 | − | 0.937718i | ||||
\(835\) | −1.62761e9 | − | 5.92403e8i | −0.0967495 | − | 0.0352139i | ||||
\(836\) | −2.45710e10 | −1.45446 | ||||||||
\(837\) | −2.66031e10 | − | 1.91572e10i | −1.56817 | − | 1.12926i | ||||
\(838\) | −3.16001e10 | −1.85496 | ||||||||
\(839\) | 1.58611e10 | + | 5.77298e9i | 0.927186 | + | 0.337468i | 0.761094 | − | 0.648642i | \(-0.224663\pi\) |
0.166093 | + | 0.986110i | \(0.446885\pi\) | |||||||
\(840\) | 1.16312e9 | − | 2.13455e9i | 0.0677092 | − | 0.124260i | ||||
\(841\) | 5.39303e9 | + | 4.52529e9i | 0.312642 | + | 0.262338i | ||||
\(842\) | 6.26279e7 | − | 3.55180e8i | 0.00361556 | − | 0.0205048i | ||||
\(843\) | −3.31386e8 | − | 1.64143e9i | −0.0190518 | − | 0.0943680i | ||||
\(844\) | 3.33580e10 | − | 2.79907e10i | 1.90986 | − | 1.60256i | ||||
\(845\) | −3.80406e9 | − | 6.58882e9i | −0.216894 | − | 0.375672i | ||||
\(846\) | −3.69088e9 | + | 1.55362e9i | −0.209572 | + | 0.0882162i | ||||
\(847\) | 3.57918e8 | − | 6.19932e8i | 0.0202391 | − | 0.0350551i | ||||
\(848\) | −1.53702e9 | − | 8.71689e9i | −0.0865555 | − | 0.490881i | ||||
\(849\) | −9.62940e9 | + | 3.77643e9i | −0.540036 | + | 0.211789i | ||||
\(850\) | −2.36070e10 | + | 8.59225e9i | −1.31848 | + | 0.479889i | ||||
\(851\) | −5.04497e9 | + | 1.83622e9i | −0.280611 | + | 0.102134i | ||||
\(852\) | 7.15789e9 | − | 2.80716e9i | 0.396503 | − | 0.155499i | ||||
\(853\) | 4.41684e9 | + | 2.50491e10i | 0.243663 | + | 1.38188i | 0.823577 | + | 0.567205i | \(0.191975\pi\) |
−0.579914 | + | 0.814678i | \(0.696914\pi\) | |||||||
\(854\) | 4.35503e9 | − | 7.54313e9i | 0.239270 | − | 0.414428i | ||||
\(855\) | 6.89197e9 | − | 2.90107e9i | 0.377105 | − | 0.158736i | ||||
\(856\) | 1.01986e10 | + | 1.76645e10i | 0.555755 | + | 0.962596i | ||||
\(857\) | 1.98036e10 | − | 1.66172e10i | 1.07476 | − | 0.901832i | 0.0792865 | − | 0.996852i | \(-0.474736\pi\) |
0.995475 | + | 0.0950196i | \(0.0302914\pi\) | |||||||
\(858\) | −7.59986e8 | − | 3.76438e9i | −0.0410771 | − | 0.203464i | ||||
\(859\) | −2.71250e9 | + | 1.53834e10i | −0.146014 | + | 0.828086i | 0.820534 | + | 0.571598i | \(0.193676\pi\) |
−0.966547 | + | 0.256488i | \(0.917435\pi\) | |||||||
\(860\) | −1.13587e10 | − | 9.53108e9i | −0.608953 | − | 0.510973i | ||||
\(861\) | −4.05656e9 | + | 7.44457e9i | −0.216594 | + | 0.397492i | ||||
\(862\) | −2.36333e10 | − | 8.60180e9i | −1.25675 | − | 0.457419i | ||||
\(863\) | −1.60919e10 | −0.852254 | −0.426127 | − | 0.904663i | \(-0.640122\pi\) | ||||
−0.426127 | + | 0.904663i | \(0.640122\pi\) | |||||||
\(864\) | 2.26885e9 | − | 2.24999e10i | 0.119676 | − | 1.18682i | ||||
\(865\) | 1.18984e10 | 0.625077 | ||||||||
\(866\) | 3.97709e10 | + | 1.44754e10i | 2.08091 | + | 0.757388i | ||||
\(867\) | −2.15466e9 | − | 3.52797e9i | −0.112283 | − | 0.183848i | ||||
\(868\) | 1.75172e10 | + | 1.46987e10i | 0.909174 | + | 0.762887i | ||||
\(869\) | −5.49088e8 | + | 3.11403e9i | −0.0283839 | + | 0.160973i | ||||
\(870\) | 1.20322e10 | − | 1.06130e10i | 0.619481 | − | 0.546415i | ||||
\(871\) | −1.98676e9 | + | 1.66709e9i | −0.101878 | + | 0.0854861i | ||||
\(872\) | −1.12340e10 | − | 1.94578e10i | −0.573753 | − | 0.993770i | ||||
\(873\) | 4.07379e8 | + | 1.78905e9i | 0.0207228 | + | 0.0910066i | ||||
\(874\) | 7.54830e9 | − | 1.30740e10i | 0.382436 | − | 0.662399i | ||||
\(875\) | −1.12520e9 | − | 6.38133e9i | −0.0567809 | − | 0.322020i | ||||
\(876\) | −4.08242e9 | + | 2.70383e10i | −0.205189 | + | 1.35899i | ||||
\(877\) | −2.86920e9 | + | 1.04430e9i | −0.143636 | + | 0.0522791i | −0.412838 | − | 0.910805i | \(-0.635462\pi\) |
0.269202 | + | 0.963084i | \(0.413240\pi\) | |||||||
\(878\) | 2.19461e10 | − | 7.98772e9i | 1.09427 | − | 0.398283i | ||||
\(879\) | −8.33381e9 | − | 6.64947e9i | −0.413888 | − | 0.330237i | ||||
\(880\) | −4.22306e8 | − | 2.39502e9i | −0.0208900 | − | 0.118473i | ||||
\(881\) | 6.44146e9 | − | 1.11569e10i | 0.317372 | − | 0.549704i | −0.662567 | − | 0.749003i | \(-0.730533\pi\) |
0.979939 | + | 0.199298i | \(0.0638663\pi\) | |||||||
\(882\) | −1.22165e10 | + | 2.37993e10i | −0.599526 | + | 1.16795i | ||||
\(883\) | 4.88974e9 | + | 8.46928e9i | 0.239014 | + | 0.413984i | 0.960432 | − | 0.278516i | \(-0.0898425\pi\) |
−0.721418 | + | 0.692500i | \(0.756509\pi\) | |||||||
\(884\) | −3.25101e9 | + | 2.72792e9i | −0.158284 | + | 0.132816i | ||||
\(885\) | −1.39106e10 | − | 4.67765e9i | −0.674595 | − | 0.226843i | ||||
\(886\) | 3.80300e7 | − | 2.15679e8i | 0.00183700 | − | 0.0104181i | ||||
\(887\) | 6.77952e9 | + | 5.68869e9i | 0.326187 | + | 0.273703i | 0.791144 | − | 0.611630i | \(-0.209486\pi\) |
−0.464957 | + | 0.885333i | \(0.653930\pi\) | |||||||
\(888\) | −9.33251e9 | + | 2.30357e8i | −0.447253 | + | 0.0110396i | ||||
\(889\) | 2.59899e9 | + | 9.45955e8i | 0.124065 | + | 0.0451559i | ||||
\(890\) | 6.04831e9 | 0.287587 | ||||||||
\(891\) | −5.97188e9 | − | 2.13087e10i | −0.282839 | − | 1.00922i | ||||
\(892\) | −5.61858e10 | −2.65063 | ||||||||
\(893\) | 2.67258e9 | + | 9.72741e8i | 0.125589 | + | 0.0457106i | ||||
\(894\) | −3.96876e10 | + | 9.79619e8i | −1.85769 | + | 0.0458539i | ||||
\(895\) | 9.11725e9 | + | 7.65028e9i | 0.425092 | + | 0.356695i | ||||
\(896\) | −2.10718e9 | + | 1.19504e10i | −0.0978642 | + | 0.555015i | ||||
\(897\) | 1.34000e9 | + | 4.50597e8i | 0.0619915 | + | 0.0208456i | ||||
\(898\) | 4.65188e10 | − | 3.90339e10i | 2.14369 | − | 1.79877i | ||||
\(899\) | 2.49781e10 | + | 4.32633e10i | 1.14657 | + | 1.98592i | ||||
\(900\) | 1.42799e10 | + | 2.21344e10i | 0.652946 | + | 1.01209i | ||||
\(901\) | −2.31628e10 | + | 4.01192e10i | −1.05501 | + | 1.82732i | ||||
\(902\) | −6.98050e9 | − | 3.95884e10i | −0.316712 | − | 1.79616i | ||||
\(903\) | −8.57507e9 | − | 6.84197e9i | −0.387552 | − | 0.309224i | ||||
\(904\) | 1.48197e10 | − | 5.39395e9i | 0.667193 | − | 0.242838i | ||||
\(905\) | 1.25275e9 | − | 4.55964e8i | 0.0561817 | − | 0.0204485i | ||||
\(906\) | 9.86289e9 | − | 6.53230e10i | 0.440611 | − | 2.91822i | ||||
\(907\) | 2.33954e9 | + | 1.32682e10i | 0.104113 | + | 0.590453i | 0.991571 | + | 0.129565i | \(0.0413580\pi\) |
−0.887458 | + | 0.460888i | \(0.847531\pi\) | |||||||
\(908\) | 1.70894e9 | − | 2.95996e9i | 0.0757575 | − | 0.131216i | ||||
\(909\) | 1.50520e10 | − | 1.39520e10i | 0.664693 | − | 0.616114i | ||||
\(910\) | −4.07609e8 | − | 7.06000e8i | −0.0179308 | − | 0.0310570i | ||||
\(911\) | 3.77047e9 | − | 3.16380e9i | 0.165227 | − | 0.138642i | −0.556425 | − | 0.830898i | \(-0.687827\pi\) |
0.721652 | + | 0.692256i | \(0.243383\pi\) | |||||||
\(912\) | −4.15377e9 | + | 3.66384e9i | −0.181326 | + | 0.159939i | ||||
\(913\) | 1.25678e9 | − | 7.12758e9i | 0.0546529 | − | 0.309952i | ||||
\(914\) | −3.42854e10 | − | 2.87689e10i | −1.48524 | − | 1.24627i | ||||
\(915\) | −3.92507e9 | − | 6.42677e9i | −0.169384 | − | 0.277344i | ||||
\(916\) | −3.30914e10 | − | 1.20443e10i | −1.42260 | − | 0.517783i | ||||
\(917\) | 3.51264e9 | 0.150432 | ||||||||
\(918\) | −2.92405e10 | + | 2.84767e10i | −1.24748 | + | 1.21490i | ||||
\(919\) | −1.86619e10 | −0.793143 | −0.396571 | − | 0.918004i | \(-0.629800\pi\) | ||||
−0.396571 | + | 0.918004i | \(0.629800\pi\) | |||||||
\(920\) | −3.98722e9 | − | 1.45123e9i | −0.168816 | − | 0.0614438i | ||||
\(921\) | −6.95809e9 | + | 1.27694e10i | −0.293482 | + | 0.538596i | ||||
\(922\) | −4.20015e10 | − | 3.52435e10i | −1.76485 | − | 1.48088i | ||||
\(923\) | 1.48204e8 | − | 8.40505e8i | 0.00620373 | − | 0.0351831i | ||||
\(924\) | 3.05475e9 | + | 1.51308e10i | 0.127387 | + | 0.630974i | ||||
\(925\) | −8.50607e9 | + | 7.13744e9i | −0.353373 | + | 0.296515i | ||||
\(926\) | −3.72347e9 | − | 6.44925e9i | −0.154103 | − | 0.266913i | ||||
\(927\) | 5.90146e8 | − | 4.68986e9i | 0.0243321 | − | 0.193366i | ||||
\(928\) | −1.72301e10 | + | 2.98435e10i | −0.707735 | + | 1.22583i | ||||
\(929\) | 5.74992e9 | + | 3.26094e10i | 0.235292 | + | 1.33441i | 0.841998 | + | 0.539480i | \(0.181379\pi\) |
−0.606707 | + | 0.794926i | \(0.707510\pi\) | |||||||
\(930\) | 3.07192e10 | − | 1.20474e10i | 1.25233 | − | 0.491135i | ||||
\(931\) | 1.78538e10 | − | 6.49824e9i | 0.725113 | − | 0.263920i | ||||
\(932\) | 1.54028e10 | − | 5.60615e9i | 0.623222 | − | 0.226834i | ||||
\(933\) | 2.78705e8 | − | 1.09302e8i | 0.0112346 | − | 0.00440596i | ||||
\(934\) | 1.05224e9 | + | 5.96757e9i | 0.0422574 | + | 0.239653i | ||||
\(935\) | −6.36412e9 | + | 1.10230e10i | −0.254623 | + | 0.441020i | ||||
\(936\) | 1.95879e9 | + | 1.48530e9i | 0.0780770 | + | 0.0592037i | ||||
\(937\) | −8.48375e9 | − | 1.46943e10i | −0.336899 | − | 0.583526i | 0.646949 | − | 0.762533i | \(-0.276045\pi\) |
−0.983848 | + | 0.179008i | \(0.942711\pi\) | |||||||
\(938\) | 1.33282e10 | − | 1.11837e10i | 0.527305 | − | 0.442462i | ||||
\(939\) | 5.61608e9 | + | 2.78177e10i | 0.221362 | + | 1.09646i | ||||
\(940\) | 4.19366e8 | − | 2.37834e9i | 0.0164682 | − | 0.0933957i | ||||
\(941\) | 1.46757e10 | + | 1.23144e10i | 0.574163 | + | 0.481780i | 0.883025 | − | 0.469327i | \(-0.155503\pi\) |
−0.308861 | + | 0.951107i | \(0.599948\pi\) | |||||||
\(942\) | −1.66684e10 | + | 3.05897e10i | −0.649703 | + | 1.19233i | ||||
\(943\) | 1.39060e10 | + | 5.06137e9i | 0.540021 | + | 0.196552i | ||||
\(944\) | 1.08705e10 | 0.420580 | ||||||||
\(945\) | −2.64331e9 | − | 3.88341e9i | −0.101891 | − | 0.149693i | ||||
\(946\) | 5.20156e10 | 1.99763 | ||||||||
\(947\) | −1.44414e10 | − | 5.25622e9i | −0.552565 | − | 0.201117i | 0.0506210 | − | 0.998718i | \(-0.483880\pi\) |
−0.603186 | + | 0.797601i | \(0.706102\pi\) | |||||||
\(948\) | −3.18728e9 | − | 5.21875e9i | −0.121504 | − | 0.198947i | ||||
\(949\) | 2.32523e9 | + | 1.95110e9i | 0.0883150 | + | 0.0741051i | ||||
\(950\) | 5.42191e9 | − | 3.07492e10i | 0.205173 | − | 1.16359i | ||||
\(951\) | 7.46360e7 | − | 6.58328e7i | 0.00281395 | − | 0.00248205i | ||||
\(952\) | 7.21893e9 | − | 6.05740e9i | 0.271171 | − | 0.227540i | ||||
\(953\) | −6.19572e9 | − | 1.07313e10i | −0.231882 | − | 0.401631i | 0.726480 | − | 0.687187i | \(-0.241155\pi\) |
−0.958362 | + | 0.285557i | \(0.907822\pi\) | |||||||
\(954\) | 7.74552e10 | + | 2.39350e10i | 2.88823 | + | 0.892513i | ||||
\(955\) | 3.31907e9 | − | 5.74879e9i | 0.123312 | − | 0.213582i | ||||
\(956\) | 1.08389e8 | + | 6.14707e8i | 0.00401222 | + | 0.0227544i | ||||
\(957\) | −5.03454e9 | + | 3.33443e10i | −0.185681 | + | 1.22979i | ||||
\(958\) | −3.85940e10 | + | 1.40471e10i | −1.41821 | + | 0.516186i | ||||
\(959\) | −1.25797e10 | + | 4.57864e9i | −0.460580 | + | 0.167638i | ||||
\(960\) | 1.53327e10 | + | 1.22339e10i | 0.559333 | + | 0.446287i | ||||
\(961\) | 1.30636e10 | + | 7.40873e10i | 0.474822 | + | 2.69285i | ||||
\(962\) | −1.56535e9 | + | 2.71126e9i | −0.0566890 | + | 0.0981882i | ||||
\(963\) | 3.93695e10 | − | 1.94472e9i | 1.42059 | − | 0.0701722i | ||||
\(964\) | 1.06269e10 | + | 1.84063e10i | 0.382063 | + | 0.661753i | ||||
\(965\) | 1.44418e10 | − | 1.21181e10i | 0.517338 | − | 0.434098i | ||||
\(966\) | −8.98943e9 | − | 3.02284e9i | −0.320858 | − | 0.107893i | ||||
\(967\) | 5.80149e9 | − | 3.29019e10i | 0.206323 | − | 1.17011i | −0.689022 | − | 0.724741i | \(-0.741960\pi\) |
0.895345 | − | 0.445374i | \(-0.146929\pi\) | |||||||
\(968\) | −1.66435e9 | − | 1.39656e9i | −0.0589769 | − | 0.0494875i | ||||
\(969\) | 2.89794e10 | − | 7.15305e8i | 1.02319 | − | 0.0252556i | ||||
\(970\) | −1.73545e9 | − | 6.31653e8i | −0.0610536 | − | 0.0222217i | ||||
\(971\) | 2.73014e10 | 0.957014 | 0.478507 | − | 0.878084i | \(-0.341178\pi\) | ||||
0.478507 | + | 0.878084i | \(0.341178\pi\) | |||||||
\(972\) | 3.59203e10 | + | 2.32648e10i | 1.25461 | + | 0.812581i | ||||
\(973\) | 8.21291e9 | 0.285826 | ||||||||
\(974\) | −3.39604e10 | − | 1.23606e10i | −1.17765 | − | 0.428629i | ||||
\(975\) | 2.92306e9 | − | 7.21507e7i | 0.101000 | − | 0.00249301i | ||||
\(976\) | 4.27293e9 | + | 3.58542e9i | 0.147113 | + | 0.123443i | ||||
\(977\) | −1.64451e9 | + | 9.32648e9i | −0.0564164 | + | 0.319953i | −0.999935 | − | 0.0113650i | \(-0.996382\pi\) |
0.943519 | + | 0.331318i | \(0.107493\pi\) | |||||||
\(978\) | 2.60652e10 | + | 8.76485e9i | 0.890995 | + | 0.299611i | ||||
\(979\) | −9.73847e9 | + | 8.17155e9i | −0.331704 | + | 0.278333i | ||||
\(980\) | −8.06662e9 | − | 1.39718e10i | −0.273779 | − | 0.474199i | ||||
\(981\) | −4.33662e10 | + | 2.14214e9i | −1.46659 | + | 0.0724447i | ||||
\(982\) | 1.59090e10 | − | 2.75551e10i | 0.536107 | − | 0.928565i | ||||
\(983\) | −3.97074e9 | − | 2.25192e10i | −0.133332 | − | 0.756163i | −0.976007 | − | 0.217740i | \(-0.930132\pi\) |
0.842675 | − | 0.538423i | \(-0.180980\pi\) | |||||||
\(984\) | 2.01140e10 | + | 1.60488e10i | 0.673002 | + | 0.536982i | ||||
\(985\) | −2.28770e10 | + | 8.32655e9i | −0.762733 | + | 0.277612i | ||||
\(986\) | 5.84460e10 | − | 2.12726e10i | 1.94171 | − | 0.706726i | ||||
\(987\) | 2.66750e8 | − | 1.76671e9i | 0.00883069 | − | 0.0584866i | ||||
\(988\) | −9.15929e8 | − | 5.19449e9i | −0.0302143 | − | 0.171354i | ||||
\(989\) | −9.57421e9 | + | 1.65830e10i | −0.314714 | + | 0.545101i | ||||
\(990\) | 2.12813e10 | + | 6.57629e9i | 0.697067 | + | 0.215406i | ||||
\(991\) | −5.60807e9 | − | 9.71347e9i | −0.183044 | − | 0.317042i | 0.759872 | − | 0.650073i | \(-0.225262\pi\) |
−0.942916 | + | 0.333031i | \(0.891928\pi\) | |||||||
\(992\) | −5.42918e10 | + | 4.55563e10i | −1.76581 | + | 1.48169i | ||||
\(993\) | 4.05939e10 | − | 3.58059e10i | 1.31564 | − | 1.16047i | ||||
\(994\) | −9.94227e8 | + | 5.63854e9i | −0.0321095 | + | 0.182102i | ||||
\(995\) | 1.07898e10 | + | 9.05374e9i | 0.347243 | + | 0.291372i | ||||
\(996\) | 7.29524e9 | + | 1.19450e10i | 0.233955 | + | 0.383070i | ||||
\(997\) | −4.04608e10 | − | 1.47265e10i | −1.29301 | − | 0.470617i | −0.398295 | − | 0.917257i | \(-0.630398\pi\) |
−0.894713 | + | 0.446641i | \(0.852620\pi\) | |||||||
\(998\) | −3.02852e10 | −0.964436 | ||||||||
\(999\) | −7.83991e9 | + | 1.62479e10i | −0.248789 | + | 0.515607i |
(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 | 27.8.e.a.4.18 | ✓ | 120 | |
3.2 | odd | 2 | 81.8.e.a.64.3 | 120 | |||
27.7 | even | 9 | inner | 27.8.e.a.7.18 | yes | 120 | |
27.20 | odd | 18 | 81.8.e.a.19.3 | 120 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
27.8.e.a.4.18 | ✓ | 120 | 1.1 | even | 1 | trivial | |
27.8.e.a.7.18 | yes | 120 | 27.7 | even | 9 | inner | |
81.8.e.a.19.3 | 120 | 27.20 | odd | 18 | |||
81.8.e.a.64.3 | 120 | 3.2 | odd | 2 |