Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [69,8,Mod(4,69)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(69, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 4]))
N = Newforms(chi, 8, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("69.4");
S:= CuspForms(chi, 8);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 69 = 3 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 8 \) |
Character orbit: | \([\chi]\) | \(=\) | 69.e (of order \(11\), degree \(10\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(21.5545667584\) |
Analytic rank: | \(0\) |
Dimension: | \(140\) |
Relative dimension: | \(14\) over \(\Q(\zeta_{11})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 58.1 | ||
Character | \(\chi\) | \(=\) | 69.58 |
Dual form | 69.8.e.a.25.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/69\mathbb{Z}\right)^\times\).
\(n\) | \(28\) | \(47\) |
\(\chi(n)\) | \(e\left(\frac{10}{11}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −18.1027 | + | 11.6339i | −1.60007 | + | 1.02830i | −0.632875 | + | 0.774254i | \(0.718125\pi\) |
−0.967192 | + | 0.254046i | \(0.918238\pi\) | |||||||
\(3\) | −3.84250 | + | 26.7252i | −0.0821655 | + | 0.571474i | ||||
\(4\) | 139.187 | − | 304.777i | 1.08740 | − | 2.38107i | ||||
\(5\) | 95.4011 | − | 28.0123i | 0.341317 | − | 0.100220i | −0.106582 | − | 0.994304i | \(-0.533991\pi\) |
0.447899 | + | 0.894084i | \(0.352172\pi\) | |||||||
\(6\) | −241.358 | − | 528.501i | −0.456176 | − | 0.998887i | ||||
\(7\) | 921.010 | + | 1062.90i | 1.01489 | + | 1.17125i | 0.985150 | + | 0.171693i | \(0.0549239\pi\) |
0.0297443 | + | 0.999558i | \(0.490531\pi\) | |||||||
\(8\) | 634.091 | + | 4410.20i | 0.437861 | + | 3.04539i | ||||
\(9\) | −699.470 | − | 205.383i | −0.319831 | − | 0.0939109i | ||||
\(10\) | −1401.12 | + | 1616.98i | −0.443074 | + | 0.511335i | ||||
\(11\) | −3770.61 | − | 2423.23i | −0.854157 | − | 0.548933i | 0.0387117 | − | 0.999250i | \(-0.487675\pi\) |
−0.892869 | + | 0.450317i | \(0.851311\pi\) | |||||||
\(12\) | 7610.38 | + | 4890.90i | 1.27137 | + | 0.817060i | ||||
\(13\) | 8884.03 | − | 10252.7i | 1.12152 | − | 1.29431i | 0.170442 | − | 0.985368i | \(-0.445481\pi\) |
0.951082 | − | 0.308939i | \(-0.0999740\pi\) | |||||||
\(14\) | −29038.4 | − | 8526.45i | −2.82830 | − | 0.830463i | ||||
\(15\) | 382.055 | + | 2657.25i | 0.0292285 | + | 0.203288i | ||||
\(16\) | −34701.5 | − | 40047.7i | −2.11801 | − | 2.44432i | ||||
\(17\) | −9322.84 | − | 20414.2i | −0.460232 | − | 1.00777i | −0.987435 | − | 0.158028i | \(-0.949486\pi\) |
0.527202 | − | 0.849740i | \(-0.323241\pi\) | |||||||
\(18\) | 15051.7 | − | 4419.58i | 0.608320 | − | 0.178619i | ||||
\(19\) | −2289.60 | + | 5013.53i | −0.0765813 | + | 0.167690i | −0.944050 | − | 0.329802i | \(-0.893018\pi\) |
0.867469 | + | 0.497491i | \(0.165745\pi\) | |||||||
\(20\) | 4741.08 | − | 32975.0i | 0.132517 | − | 0.921678i | ||||
\(21\) | −31945.2 | + | 20529.9i | −0.752728 | + | 0.483749i | ||||
\(22\) | 96449.8 | 1.93118 | ||||||||
\(23\) | −54008.8 | − | 22088.0i | −0.925586 | − | 0.378537i | ||||
\(24\) | −120300. | −1.77634 | ||||||||
\(25\) | −57406.3 | + | 36892.8i | −0.734800 | + | 0.472227i | ||||
\(26\) | −41545.8 | + | 288958.i | −0.463576 | + | 3.22424i | ||||
\(27\) | 8176.61 | − | 17904.3i | 0.0799467 | − | 0.175059i | ||||
\(28\) | 452140. | − | 132760.i | 3.89242 | − | 1.14292i | ||||
\(29\) | 2363.88 | + | 5176.17i | 0.0179983 | + | 0.0394108i | 0.918418 | − | 0.395612i | \(-0.129468\pi\) |
−0.900419 | + | 0.435023i | \(0.856740\pi\) | |||||||
\(30\) | −37830.4 | − | 43658.6i | −0.255809 | − | 0.295219i | ||||
\(31\) | −46769.5 | − | 325289.i | −0.281966 | − | 1.96111i | −0.276089 | − | 0.961132i | \(-0.589038\pi\) |
−0.00587665 | − | 0.999983i | \(-0.501871\pi\) | |||||||
\(32\) | 546893. | + | 160582.i | 2.95037 | + | 0.866308i | ||||
\(33\) | 79249.8 | − | 91459.1i | 0.383883 | − | 0.443025i | ||||
\(34\) | 406265. | + | 261091.i | 1.77269 | + | 1.13924i | ||||
\(35\) | 117640. | + | 75602.4i | 0.463784 | + | 0.298056i | ||||
\(36\) | −159953. | + | 184596.i | −0.571391 | + | 0.659421i | ||||
\(37\) | 132165. | + | 38807.3i | 0.428955 | + | 0.125953i | 0.489081 | − | 0.872238i | \(-0.337332\pi\) |
−0.0601263 | + | 0.998191i | \(0.519150\pi\) | |||||||
\(38\) | −16878.9 | − | 117395.i | −0.0499002 | − | 0.347063i | ||||
\(39\) | 239869. | + | 276823.i | 0.647512 | + | 0.747269i | ||||
\(40\) | 184033. | + | 402976.i | 0.454658 | + | 0.995563i | ||||
\(41\) | −297558. | + | 87371.0i | −0.674262 | + | 0.197981i | −0.600900 | − | 0.799324i | \(-0.705191\pi\) |
−0.0733618 | + | 0.997305i | \(0.523373\pi\) | |||||||
\(42\) | 339451. | − | 743294.i | 0.706976 | − | 1.54806i | ||||
\(43\) | 92668.7 | − | 644525.i | 0.177743 | − | 1.23623i | −0.684225 | − | 0.729271i | \(-0.739860\pi\) |
0.861969 | − | 0.506961i | \(-0.169231\pi\) | |||||||
\(44\) | −1.26336e6 | + | 811914.i | −2.23585 | + | 1.43690i | ||||
\(45\) | −72483.5 | −0.118576 | ||||||||
\(46\) | 1.23467e6 | − | 228481.i | 1.87025 | − | 0.346097i | ||||
\(47\) | 166461. | 0.233867 | 0.116934 | − | 0.993140i | \(-0.462694\pi\) | ||||
0.116934 | + | 0.993140i | \(0.462694\pi\) | |||||||
\(48\) | 1.20362e6 | − | 773521.i | 1.57089 | − | 1.00955i | ||||
\(49\) | −164299. | + | 1.14272e6i | −0.199503 | + | 1.38757i | ||||
\(50\) | 610001. | − | 1.33572e6i | 0.690138 | − | 1.51119i | ||||
\(51\) | 581396. | − | 170713.i | 0.613728 | − | 0.180207i | ||||
\(52\) | −1.88825e6 | − | 4.13469e6i | −1.86229 | − | 4.07785i | ||||
\(53\) | 438924. | + | 506545.i | 0.404971 | + | 0.467361i | 0.921200 | − | 0.389089i | \(-0.127210\pi\) |
−0.516229 | + | 0.856451i | \(0.672665\pi\) | |||||||
\(54\) | 60277.8 | + | 419242.i | 0.0520930 | + | 0.362315i | ||||
\(55\) | −427601. | − | 125555.i | −0.346553 | − | 0.101757i | ||||
\(56\) | −4.10361e6 | + | 4.73581e6i | −3.12254 | + | 3.60360i | ||||
\(57\) | −125190. | − | 80454.6i | −0.0895379 | − | 0.0575425i | ||||
\(58\) | −103012. | − | 66201.5i | −0.0693247 | − | 0.0445523i | ||||
\(59\) | 1.64060e6 | − | 1.89335e6i | 1.03997 | − | 1.20019i | 0.0605861 | − | 0.998163i | \(-0.480703\pi\) |
0.979381 | − | 0.202023i | \(-0.0647515\pi\) | |||||||
\(60\) | 863044. | + | 253413.i | 0.515826 | + | 0.151460i | ||||
\(61\) | 31716.2 | + | 220591.i | 0.0178907 | + | 0.124432i | 0.996810 | − | 0.0798173i | \(-0.0254337\pi\) |
−0.978919 | + | 0.204250i | \(0.934525\pi\) | |||||||
\(62\) | 4.63103e6 | + | 5.34449e6i | 2.46778 | + | 2.84797i | ||||
\(63\) | −425917. | − | 932628.i | −0.214602 | − | 0.469912i | ||||
\(64\) | −5.26036e6 | + | 1.54458e6i | −2.50834 | + | 0.736514i | ||||
\(65\) | 560344. | − | 1.22698e6i | 0.253080 | − | 0.554168i | ||||
\(66\) | −370608. | + | 2.57764e6i | −0.158676 | + | 1.10362i | ||||
\(67\) | −1.58807e6 | + | 1.02059e6i | −0.645071 | + | 0.414562i | −0.821862 | − | 0.569687i | \(-0.807065\pi\) |
0.176791 | + | 0.984248i | \(0.443428\pi\) | |||||||
\(68\) | −7.51938e6 | −2.90002 | ||||||||
\(69\) | 797833. | − | 1.35852e6i | 0.292375 | − | 0.497845i | ||||
\(70\) | −3.00914e6 | −1.04858 | ||||||||
\(71\) | 2.42769e6 | − | 1.56018e6i | 0.804987 | − | 0.517333i | −0.0722530 | − | 0.997386i | \(-0.523019\pi\) |
0.877240 | + | 0.480053i | \(0.159383\pi\) | |||||||
\(72\) | 462252. | − | 3.21504e6i | 0.145954 | − | 1.01513i | ||||
\(73\) | 1.55897e6 | − | 3.41366e6i | 0.469036 | − | 1.02705i | −0.516297 | − | 0.856409i | \(-0.672690\pi\) |
0.985334 | − | 0.170637i | \(-0.0545826\pi\) | |||||||
\(74\) | −2.84403e6 | + | 835082.i | −0.815874 | + | 0.239562i | ||||
\(75\) | −765382. | − | 1.67595e6i | −0.209490 | − | 0.458720i | ||||
\(76\) | 1.20932e6 | + | 1.39564e6i | 0.316006 | + | 0.364690i | ||||
\(77\) | −897120. | − | 6.23961e6i | −0.223941 | − | 1.55754i | ||||
\(78\) | −7.56281e6 | − | 2.22064e6i | −1.80448 | − | 0.529843i | ||||
\(79\) | 221061. | − | 255118.i | 0.0504448 | − | 0.0582165i | −0.729966 | − | 0.683483i | \(-0.760464\pi\) |
0.780411 | + | 0.625267i | \(0.215010\pi\) | |||||||
\(80\) | −4.43239e6 | − | 2.84852e6i | −0.967884 | − | 0.622021i | ||||
\(81\) | 447077. | + | 287319.i | 0.0934726 | + | 0.0600712i | ||||
\(82\) | 4.37014e6 | − | 5.04341e6i | 0.875280 | − | 1.01013i | ||||
\(83\) | 255519. | + | 75027.1i | 0.0490512 | + | 0.0144027i | 0.306166 | − | 0.951978i | \(-0.400954\pi\) |
−0.257115 | + | 0.966381i | \(0.582772\pi\) | |||||||
\(84\) | 1.81069e6 | + | 1.25937e7i | 0.333325 | + | 2.31832i | ||||
\(85\) | −1.46126e6 | − | 1.68638e6i | −0.258084 | − | 0.297844i | ||||
\(86\) | 5.82078e6 | + | 1.27457e7i | 0.986817 | + | 2.16083i | ||||
\(87\) | −147417. | + | 43285.6i | −0.0240011 | + | 0.00704736i | ||||
\(88\) | 8.29600e6 | − | 1.81657e7i | 1.29772 | − | 2.84160i | ||||
\(89\) | −630358. | + | 4.38424e6i | −0.0947812 | + | 0.659218i | 0.885939 | + | 0.463801i | \(0.153515\pi\) |
−0.980720 | + | 0.195416i | \(0.937394\pi\) | |||||||
\(90\) | 1.31215e6 | − | 843265.i | 0.189729 | − | 0.121931i | ||||
\(91\) | 1.90799e7 | 2.65419 | ||||||||
\(92\) | −1.42492e7 | + | 1.33863e7i | −1.90780 | + | 1.79226i | ||||
\(93\) | 8.87311e6 | 1.14389 | ||||||||
\(94\) | −3.01338e6 | + | 1.93658e6i | −0.374203 | + | 0.240486i | ||||
\(95\) | −77990.2 | + | 542433.i | −0.00933270 | + | 0.0649103i | ||||
\(96\) | −6.39302e6 | + | 1.39988e7i | −0.737491 | + | 1.61488i | ||||
\(97\) | −4.78242e6 | + | 1.40425e6i | −0.532043 | + | 0.156222i | −0.536709 | − | 0.843767i | \(-0.680333\pi\) |
0.00466643 | + | 0.999989i | \(0.498515\pi\) | |||||||
\(98\) | −1.03201e7 | − | 2.25978e7i | −1.10762 | − | 2.42536i | ||||
\(99\) | 2.13974e6 | + | 2.46940e6i | 0.221635 | + | 0.255781i | ||||
\(100\) | 3.25386e6 | + | 2.26311e7i | 0.325386 | + | 2.26311i | ||||
\(101\) | −8.22293e6 | − | 2.41447e6i | −0.794149 | − | 0.233183i | −0.140599 | − | 0.990067i | \(-0.544903\pi\) |
−0.653550 | + | 0.756884i | \(0.726721\pi\) | |||||||
\(102\) | −8.53877e6 | + | 9.85426e6i | −0.796699 | + | 0.919440i | ||||
\(103\) | 1.36637e7 | + | 8.78114e6i | 1.23208 | + | 0.791809i | 0.984214 | − | 0.176985i | \(-0.0566344\pi\) |
0.247866 | + | 0.968794i | \(0.420271\pi\) | |||||||
\(104\) | 5.08498e7 | + | 3.26792e7i | 4.43275 | + | 2.84875i | ||||
\(105\) | −2.47252e6 | + | 2.85344e6i | −0.208438 | + | 0.240550i | ||||
\(106\) | −1.38388e7 | − | 4.06344e6i | −1.12857 | − | 0.331378i | ||||
\(107\) | −2.78462e6 | − | 1.93675e7i | −0.219747 | − | 1.52837i | −0.738972 | − | 0.673737i | \(-0.764688\pi\) |
0.519224 | − | 0.854638i | \(-0.326221\pi\) | |||||||
\(108\) | −4.31873e6 | − | 4.98408e6i | −0.329893 | − | 0.380717i | ||||
\(109\) | −4.54168e6 | − | 9.94489e6i | −0.335911 | − | 0.735542i | 0.664015 | − | 0.747719i | \(-0.268851\pi\) |
−0.999926 | + | 0.0121772i | \(0.996124\pi\) | |||||||
\(110\) | 9.20142e6 | − | 2.70178e6i | 0.659144 | − | 0.193542i | ||||
\(111\) | −1.54498e6 | + | 3.38303e6i | −0.107224 | + | 0.234787i | ||||
\(112\) | 1.06063e7 | − | 7.37686e7i | 0.713349 | − | 4.96145i | ||||
\(113\) | 6.95225e6 | − | 4.46794e6i | 0.453264 | − | 0.291295i | −0.294021 | − | 0.955799i | \(-0.594994\pi\) |
0.747285 | + | 0.664504i | \(0.231357\pi\) | |||||||
\(114\) | 3.20227e6 | 0.202438 | ||||||||
\(115\) | −5.77123e6 | − | 594306.i | −0.353855 | − | 0.0364391i | ||||
\(116\) | 1.90660e6 | 0.113411 | ||||||||
\(117\) | −8.31985e6 | + | 5.34684e6i | −0.480247 | + | 0.308636i | ||||
\(118\) | −7.67218e6 | + | 5.33612e7i | −0.429865 | + | 2.98978i | ||||
\(119\) | 1.31118e7 | − | 2.87109e7i | 0.713262 | − | 1.56183i | ||||
\(120\) | −1.14767e7 | + | 3.36988e6i | −0.606295 | + | 0.178024i | ||||
\(121\) | 250241. | + | 547952.i | 0.0128413 | + | 0.0281186i | ||||
\(122\) | −3.14048e6 | − | 3.62430e6i | −0.156580 | − | 0.180703i | ||||
\(123\) | −1.19164e6 | − | 8.28802e6i | −0.0577399 | − | 0.401590i | ||||
\(124\) | −1.05650e8 | − | 3.10217e7i | −4.97615 | − | 1.46113i | ||||
\(125\) | −9.53004e6 | + | 1.09982e7i | −0.436425 | + | 0.503661i | ||||
\(126\) | 1.85603e7 | + | 1.19280e7i | 0.826588 | + | 0.531216i | ||||
\(127\) | −6.12297e6 | − | 3.93499e6i | −0.265246 | − | 0.170463i | 0.401257 | − | 0.915965i | \(-0.368573\pi\) |
−0.666503 | + | 0.745502i | \(0.732210\pi\) | |||||||
\(128\) | 2.94802e7 | − | 3.40220e7i | 1.24250 | − | 1.43392i | ||||
\(129\) | 1.68690e7 | + | 4.95317e6i | 0.691870 | + | 0.203151i | ||||
\(130\) | 4.13085e6 | + | 2.87307e7i | 0.164906 | + | 1.14695i | ||||
\(131\) | 6.78752e6 | + | 7.83321e6i | 0.263792 | + | 0.304432i | 0.872158 | − | 0.489225i | \(-0.162720\pi\) |
−0.608366 | + | 0.793657i | \(0.708175\pi\) | |||||||
\(132\) | −1.68441e7 | − | 3.68834e7i | −0.637438 | − | 1.39580i | ||||
\(133\) | −7.43764e6 | + | 2.18389e6i | −0.274129 | + | 0.0804914i | ||||
\(134\) | 1.68749e7 | − | 3.69508e7i | 0.605862 | − | 1.32665i | ||||
\(135\) | 278518. | − | 1.93713e6i | 0.00974282 | − | 0.0677628i | ||||
\(136\) | 8.41191e7 | − | 5.40601e7i | 2.86753 | − | 1.84285i | ||||
\(137\) | −2.53810e7 | −0.843309 | −0.421654 | − | 0.906757i | \(-0.638550\pi\) | ||||
−0.421654 | + | 0.906757i | \(0.638550\pi\) | |||||||
\(138\) | 1.36196e6 | + | 3.38748e7i | 0.0441151 | + | 1.09724i | ||||
\(139\) | 4.37674e6 | 0.138229 | 0.0691145 | − | 0.997609i | \(-0.477983\pi\) | ||||
0.0691145 | + | 0.997609i | \(0.477983\pi\) | |||||||
\(140\) | 3.94157e7 | − | 2.53309e7i | 1.21401 | − | 0.780195i | ||||
\(141\) | −639625. | + | 4.44869e6i | −0.0192158 | + | 0.133649i | ||||
\(142\) | −2.57967e7 | + | 5.64869e7i | −0.756058 | + | 1.65554i | ||||
\(143\) | −5.83429e7 | + | 1.71310e7i | −1.66845 | + | 0.489900i | ||||
\(144\) | 1.60476e7 | + | 3.51393e7i | 0.447858 | + | 0.980673i | ||||
\(145\) | 370513. | + | 427595.i | 0.0100929 | + | 0.0116478i | ||||
\(146\) | 1.14927e7 | + | 7.99333e7i | 0.305623 | + | 2.12565i | ||||
\(147\) | −2.99082e7 | − | 8.78184e6i | −0.776568 | − | 0.228021i | ||||
\(148\) | 3.02232e7 | − | 3.48794e7i | 0.766346 | − | 0.884410i | ||||
\(149\) | 4.79913e7 | + | 3.08421e7i | 1.18853 | + | 0.763823i | 0.976935 | − | 0.213535i | \(-0.0684976\pi\) |
0.211596 | + | 0.977357i | \(0.432134\pi\) | |||||||
\(150\) | 3.33533e7 | + | 2.14349e7i | 0.806900 | + | 0.518563i | ||||
\(151\) | −1.03868e7 | + | 1.19870e7i | −0.245506 | + | 0.283329i | −0.865106 | − | 0.501589i | \(-0.832749\pi\) |
0.619601 | + | 0.784917i | \(0.287295\pi\) | |||||||
\(152\) | −2.35625e7 | − | 6.91857e6i | −0.544213 | − | 0.159795i | ||||
\(153\) | 2.32833e6 | + | 1.61939e7i | 0.0525562 | + | 0.365536i | ||||
\(154\) | 8.88312e7 | + | 1.02517e8i | 1.95994 | + | 2.26189i | ||||
\(155\) | −1.35739e7 | − | 2.97228e7i | −0.292782 | − | 0.641104i | ||||
\(156\) | 1.17756e8 | − | 3.45762e7i | 2.48340 | − | 0.729192i | ||||
\(157\) | −3.22963e7 | + | 7.07191e7i | −0.666046 | + | 1.45844i | 0.210733 | + | 0.977544i | \(0.432415\pi\) |
−0.876779 | + | 0.480894i | \(0.840312\pi\) | |||||||
\(158\) | −1.03378e6 | + | 7.19011e6i | −0.0208511 | + | 0.145023i | ||||
\(159\) | −1.52241e7 | + | 9.78393e6i | −0.300359 | + | 0.193029i | ||||
\(160\) | 5.66724e7 | 1.09384 | ||||||||
\(161\) | −2.62653e7 | − | 7.77492e7i | −0.496011 | − | 1.46827i | ||||
\(162\) | −1.14359e7 | −0.211334 | ||||||||
\(163\) | 6.63214e7 | − | 4.26222e7i | 1.19949 | − | 0.770867i | 0.220624 | − | 0.975359i | \(-0.429191\pi\) |
0.978868 | + | 0.204492i | \(0.0655544\pi\) | |||||||
\(164\) | −1.47875e7 | + | 1.02850e8i | −0.261784 | + | 1.82075i | ||||
\(165\) | 4.99853e6 | − | 1.09453e7i | 0.0866261 | − | 0.189685i | ||||
\(166\) | −5.49844e6 | + | 1.61449e6i | −0.0932955 | + | 0.0273940i | ||||
\(167\) | −3.59780e7 | − | 7.87809e7i | −0.597764 | − | 1.30892i | −0.930635 | − | 0.365948i | \(-0.880745\pi\) |
0.332871 | − | 0.942972i | \(-0.391983\pi\) | |||||||
\(168\) | −1.10797e8 | − | 1.27867e8i | −1.80280 | − | 2.08054i | ||||
\(169\) | −1.72622e7 | − | 1.20061e8i | −0.275101 | − | 1.91337i | ||||
\(170\) | 4.60719e7 | + | 1.35279e7i | 0.719225 | + | 0.211183i | ||||
\(171\) | 2.63120e6 | − | 3.03657e6i | 0.0402409 | − | 0.0464405i | ||||
\(172\) | −1.83538e8 | − | 1.17953e8i | −2.75027 | − | 1.76749i | ||||
\(173\) | 7.73539e7 | + | 4.97124e7i | 1.13585 | + | 0.729967i | 0.966773 | − | 0.255636i | \(-0.0822850\pi\) |
0.169077 | + | 0.985603i | \(0.445921\pi\) | |||||||
\(174\) | 2.16507e6 | − | 2.49862e6i | 0.0311566 | − | 0.0359566i | ||||
\(175\) | −9.20851e7 | − | 2.70386e7i | −1.29884 | − | 0.381374i | ||||
\(176\) | 3.38014e7 | + | 2.35094e8i | 0.467348 | + | 3.25048i | ||||
\(177\) | 4.42961e7 | + | 5.11204e7i | 0.600425 | + | 0.692928i | ||||
\(178\) | −3.95946e7 | − | 8.67000e7i | −0.526218 | − | 1.15226i | ||||
\(179\) | 6.74175e6 | − | 1.97956e6i | 0.0878591 | − | 0.0257978i | −0.237508 | − | 0.971386i | \(-0.576330\pi\) |
0.325367 | + | 0.945588i | \(0.394512\pi\) | |||||||
\(180\) | −1.00887e7 | + | 2.20913e7i | −0.128939 | + | 0.282336i | ||||
\(181\) | −7.62985e6 | + | 5.30668e7i | −0.0956403 | + | 0.665193i | 0.884449 | + | 0.466636i | \(0.154534\pi\) |
−0.980089 | + | 0.198556i | \(0.936375\pi\) | |||||||
\(182\) | −3.45398e8 | + | 2.21974e8i | −4.24688 | + | 2.72930i | ||||
\(183\) | −6.01720e6 | −0.0725797 | ||||||||
\(184\) | 6.31658e7 | − | 2.52195e8i | 0.747515 | − | 2.98452i | ||||
\(185\) | 1.36958e7 | 0.159033 | ||||||||
\(186\) | −1.60627e8 | + | 1.03229e8i | −1.83031 | + | 1.17627i | ||||
\(187\) | −1.43153e7 | + | 9.95654e7i | −0.160087 | + | 1.11343i | ||||
\(188\) | 2.31691e7 | − | 5.07333e7i | 0.254306 | − | 0.556853i | ||||
\(189\) | 2.65612e7 | − | 7.79908e6i | 0.286175 | − | 0.0840286i | ||||
\(190\) | −4.89878e6 | − | 1.07268e7i | −0.0518144 | − | 0.113458i | ||||
\(191\) | −8.98060e7 | − | 1.03642e8i | −0.932586 | − | 1.07626i | −0.996927 | − | 0.0783334i | \(-0.975040\pi\) |
0.0643415 | − | 0.997928i | \(-0.479505\pi\) | |||||||
\(192\) | −2.10663e7 | − | 1.46519e8i | −0.214800 | − | 1.49396i | ||||
\(193\) | 1.20952e8 | + | 3.55148e7i | 1.21106 | + | 0.355598i | 0.824070 | − | 0.566488i | \(-0.191698\pi\) |
0.386985 | + | 0.922086i | \(0.373516\pi\) | |||||||
\(194\) | 7.02378e7 | − | 8.10588e7i | 0.690661 | − | 0.797065i | ||||
\(195\) | 3.06382e7 | + | 1.96900e7i | 0.295898 | + | 0.190162i | ||||
\(196\) | 3.25408e8 | + | 2.09127e8i | 3.08696 | + | 1.98387i | ||||
\(197\) | −4.90675e7 | + | 5.66269e7i | −0.457258 | + | 0.527704i | −0.936824 | − | 0.349802i | \(-0.886249\pi\) |
0.479565 | + | 0.877506i | \(0.340794\pi\) | |||||||
\(198\) | −6.74638e7 | − | 1.98092e7i | −0.617650 | − | 0.181358i | ||||
\(199\) | 2.52606e7 | + | 1.75692e8i | 0.227226 | + | 1.58039i | 0.709714 | + | 0.704490i | \(0.248824\pi\) |
−0.482488 | + | 0.875903i | \(0.660267\pi\) | |||||||
\(200\) | −1.99105e8 | − | 2.29780e8i | −1.75986 | − | 2.03099i | ||||
\(201\) | −2.11733e7 | − | 4.63630e7i | −0.183909 | − | 0.402704i | ||||
\(202\) | 1.76947e8 | − | 5.19563e7i | 1.51047 | − | 0.443515i | ||||
\(203\) | −3.32461e6 | + | 7.27987e6i | −0.0278936 | + | 0.0610784i | ||||
\(204\) | 2.88932e7 | − | 2.00957e8i | 0.238282 | − | 1.65728i | ||||
\(205\) | −2.59399e7 | + | 1.66706e7i | −0.210296 | + | 0.135149i | ||||
\(206\) | −3.49509e8 | −2.78563 | ||||||||
\(207\) | 3.32410e7 | + | 2.65424e7i | 0.260482 | + | 0.207990i | ||||
\(208\) | −7.18887e8 | −5.53910 | ||||||||
\(209\) | 2.07821e7 | − | 1.33559e7i | 0.157463 | − | 0.101195i | ||||
\(210\) | 1.15626e7 | − | 8.04199e7i | 0.0861568 | − | 0.599233i | ||||
\(211\) | 1.43292e7 | − | 3.13765e7i | 0.105011 | − | 0.229941i | −0.849832 | − | 0.527054i | \(-0.823297\pi\) |
0.954842 | + | 0.297113i | \(0.0960238\pi\) | |||||||
\(212\) | 2.15476e8 | − | 6.32694e7i | 1.55318 | − | 0.456056i | ||||
\(213\) | 3.23677e7 | + | 7.08754e7i | 0.229500 | + | 0.502536i | ||||
\(214\) | 2.75728e8 | + | 3.18207e8i | 1.92324 | + | 2.21954i | ||||
\(215\) | −9.21392e6 | − | 6.40842e7i | −0.0632280 | − | 0.439761i | ||||
\(216\) | 8.41462e7 | + | 2.47076e7i | 0.568128 | + | 0.166818i | ||||
\(217\) | 3.02675e8 | − | 3.49305e8i | 2.01079 | − | 2.32058i | ||||
\(218\) | 1.97914e8 | + | 1.27192e8i | 1.29384 | + | 0.831499i | ||||
\(219\) | 8.52403e7 | + | 5.47806e7i | 0.548391 | + | 0.352430i | ||||
\(220\) | −9.77826e7 | + | 1.12847e8i | −0.619130 | + | 0.714515i | ||||
\(221\) | −2.92125e8 | − | 8.57757e7i | −1.82052 | − | 0.534554i | ||||
\(222\) | −1.13895e7 | − | 7.92160e7i | −0.0698668 | − | 0.485934i | ||||
\(223\) | −7.64336e7 | − | 8.82091e7i | −0.461548 | − | 0.532655i | 0.476493 | − | 0.879178i | \(-0.341908\pi\) |
−0.938042 | + | 0.346523i | \(0.887362\pi\) | |||||||
\(224\) | 3.33010e8 | + | 7.29191e8i | 1.97966 | + | 4.33484i | ||||
\(225\) | 4.77311e7 | − | 1.40151e7i | 0.279359 | − | 0.0820272i | ||||
\(226\) | −7.38749e7 | + | 1.61763e8i | −0.425713 | + | 0.932182i | ||||
\(227\) | 2.40871e7 | − | 1.67530e8i | 0.136677 | − | 0.950608i | −0.799897 | − | 0.600137i | \(-0.795113\pi\) |
0.936574 | − | 0.350471i | \(-0.113978\pi\) | |||||||
\(228\) | −4.19454e7 | + | 2.69567e7i | −0.234376 | + | 0.150624i | ||||
\(229\) | −2.02533e8 | −1.11448 | −0.557239 | − | 0.830352i | \(-0.688139\pi\) | ||||
−0.557239 | + | 0.830352i | \(0.688139\pi\) | |||||||
\(230\) | 1.11389e8 | − | 5.63833e7i | 0.603663 | − | 0.305565i | ||||
\(231\) | 1.70202e8 | 0.908494 | ||||||||
\(232\) | −2.13290e7 | + | 1.37073e7i | −0.112141 | + | 0.0720685i | ||||
\(233\) | −1.22587e7 | + | 8.52611e7i | −0.0634890 | + | 0.441576i | 0.933138 | + | 0.359517i | \(0.117059\pi\) |
−0.996627 | + | 0.0820587i | \(0.973850\pi\) | |||||||
\(234\) | 8.84071e7 | − | 1.93585e8i | 0.451057 | − | 0.987677i | ||||
\(235\) | 1.58805e7 | − | 4.66294e6i | 0.0798229 | − | 0.0234381i | ||||
\(236\) | −3.48699e8 | − | 7.63544e8i | −1.72687 | − | 3.78131i | ||||
\(237\) | 5.96864e6 | + | 6.88818e6i | 0.0291243 | + | 0.0336113i | ||||
\(238\) | 9.66602e7 | + | 6.72287e8i | 0.464760 | + | 3.23247i | ||||
\(239\) | 1.47263e8 | + | 4.32405e7i | 0.697754 | + | 0.204879i | 0.611326 | − | 0.791379i | \(-0.290636\pi\) |
0.0864282 | + | 0.996258i | \(0.472455\pi\) | |||||||
\(240\) | 9.31588e7 | − | 1.07511e8i | 0.434995 | − | 0.502011i | ||||
\(241\) | −2.30920e8 | − | 1.48404e8i | −1.06268 | − | 0.682943i | −0.112187 | − | 0.993687i | \(-0.535785\pi\) |
−0.950494 | + | 0.310744i | \(0.899422\pi\) | |||||||
\(242\) | −1.09048e7 | − | 7.00812e6i | −0.0494613 | − | 0.0317869i | ||||
\(243\) | −9.39654e6 | + | 1.08442e7i | −0.0420093 | + | 0.0484814i | ||||
\(244\) | 7.16454e7 | + | 2.10370e7i | 0.315736 | + | 0.0927084i | ||||
\(245\) | 1.63360e7 | + | 1.13620e8i | 0.0709684 | + | 0.493596i | ||||
\(246\) | 1.17994e8 | + | 1.36172e8i | 0.505343 | + | 0.583197i | ||||
\(247\) | 3.10614e7 | + | 6.80150e7i | 0.131154 | + | 0.287188i | ||||
\(248\) | 1.40493e9 | − | 4.12525e8i | 5.84890 | − | 1.71739i | ||||
\(249\) | −2.98694e6 | + | 6.54050e6i | −0.0122611 | + | 0.0268481i | ||||
\(250\) | 4.45669e7 | − | 3.09969e8i | 0.180394 | − | 1.25467i | ||||
\(251\) | 4.16492e8 | − | 2.67663e8i | 1.66245 | − | 1.06839i | 0.747993 | − | 0.663707i | \(-0.231018\pi\) |
0.914456 | − | 0.404685i | \(-0.132619\pi\) | |||||||
\(252\) | −3.43525e8 | −1.35225 | ||||||||
\(253\) | 1.50122e8 | + | 2.14161e8i | 0.582804 | + | 0.831415i | ||||
\(254\) | 1.56621e8 | 0.599699 | ||||||||
\(255\) | 5.06837e7 | − | 3.25724e7i | 0.191416 | − | 0.123015i | ||||
\(256\) | −3.79932e7 | + | 2.64249e8i | −0.141536 | + | 0.984404i | ||||
\(257\) | 4.98953e7 | − | 1.09255e8i | 0.183355 | − | 0.401492i | −0.795527 | − | 0.605919i | \(-0.792806\pi\) |
0.978882 | + | 0.204426i | \(0.0655329\pi\) | |||||||
\(258\) | −3.62998e8 | + | 1.06586e8i | −1.31594 | + | 0.386394i | ||||
\(259\) | 8.04773e7 | + | 1.76221e8i | 0.287822 | + | 0.630242i | ||||
\(260\) | −2.95963e8 | − | 3.41560e8i | −1.04431 | − | 1.20520i | ||||
\(261\) | −590365. | − | 4.10608e6i | −0.00205532 | − | 0.0142950i | ||||
\(262\) | −2.14003e8 | − | 6.28370e7i | −0.735132 | − | 0.215854i | ||||
\(263\) | 2.13238e8 | − | 2.46090e8i | 0.722802 | − | 0.834158i | −0.268839 | − | 0.963185i | \(-0.586640\pi\) |
0.991641 | + | 0.129027i | \(0.0411854\pi\) | |||||||
\(264\) | 4.53605e8 | + | 2.91514e8i | 1.51727 | + | 0.975092i | ||||
\(265\) | 5.60633e7 | + | 3.60297e7i | 0.185062 | + | 0.118932i | ||||
\(266\) | 1.09234e8 | − | 1.26063e8i | 0.355855 | − | 0.410678i | ||||
\(267\) | −1.14747e8 | − | 3.36929e7i | −0.368938 | − | 0.108330i | ||||
\(268\) | 9.00136e7 | + | 6.26058e8i | 0.285651 | + | 1.98675i | ||||
\(269\) | 7.00566e7 | + | 8.08496e7i | 0.219440 | + | 0.253247i | 0.854786 | − | 0.518980i | \(-0.173688\pi\) |
−0.635346 | + | 0.772227i | \(0.719143\pi\) | |||||||
\(270\) | 1.74945e7 | + | 3.83076e7i | 0.0540914 | + | 0.118444i | ||||
\(271\) | −4.97599e8 | + | 1.46108e8i | −1.51875 | + | 0.445946i | −0.931587 | − | 0.363519i | \(-0.881575\pi\) |
−0.587167 | + | 0.809466i | \(0.699757\pi\) | |||||||
\(272\) | −4.94024e8 | + | 1.08176e9i | −1.48853 | + | 3.25942i | ||||
\(273\) | −7.33146e7 | + | 5.09914e8i | −0.218083 | + | 1.51680i | ||||
\(274\) | 4.59464e8 | − | 2.95280e8i | 1.34935 | − | 0.867175i | ||||
\(275\) | 3.05856e8 | 0.886856 | ||||||||
\(276\) | −3.02998e8 | − | 4.32249e8i | −0.867476 | − | 1.23752i | ||||
\(277\) | −2.89620e8 | −0.818747 | −0.409373 | − | 0.912367i | \(-0.634253\pi\) | ||||
−0.409373 | + | 0.912367i | \(0.634253\pi\) | |||||||
\(278\) | −7.92308e7 | + | 5.09186e7i | −0.221176 | + | 0.142141i | ||||
\(279\) | −3.40949e7 | + | 2.37135e8i | −0.0939886 | + | 0.653705i | ||||
\(280\) | −2.58827e8 | + | 5.66753e8i | −0.704624 | + | 1.54291i | ||||
\(281\) | −2.31562e8 | + | 6.79927e7i | −0.622579 | + | 0.182806i | −0.577783 | − | 0.816190i | \(-0.696082\pi\) |
−0.0447962 | + | 0.998996i | \(0.514264\pi\) | |||||||
\(282\) | −4.01766e7 | − | 8.79746e7i | −0.106685 | − | 0.233607i | ||||
\(283\) | 2.55531e8 | + | 2.94898e8i | 0.670178 | + | 0.773427i | 0.984404 | − | 0.175921i | \(-0.0562904\pi\) |
−0.314226 | + | 0.949348i | \(0.601745\pi\) | |||||||
\(284\) | −1.37604e8 | − | 9.57059e8i | −0.356466 | − | 2.47927i | ||||
\(285\) | −1.41970e7 | − | 4.16860e6i | −0.0363277 | − | 0.0106668i | ||||
\(286\) | 8.56863e8 | − | 9.88873e8i | 2.16586 | − | 2.49954i | ||||
\(287\) | −3.66921e8 | − | 2.35806e8i | −0.916190 | − | 0.588800i | ||||
\(288\) | −3.49554e8 | − | 2.24645e8i | −0.862265 | − | 0.554144i | ||||
\(289\) | −6.11087e7 | + | 7.05232e7i | −0.148923 | + | 0.171866i | ||||
\(290\) | −1.16819e7 | − | 3.43011e6i | −0.0281267 | − | 0.00825876i | ||||
\(291\) | −1.91523e7 | − | 1.33207e8i | −0.0455611 | − | 0.316885i | ||||
\(292\) | −8.23416e8 | − | 9.50273e8i | −1.93544 | − | 2.23361i | ||||
\(293\) | −1.06229e7 | − | 2.32610e7i | −0.0246722 | − | 0.0540247i | 0.896895 | − | 0.442244i | \(-0.145818\pi\) |
−0.921567 | + | 0.388219i | \(0.873090\pi\) | |||||||
\(294\) | 6.43586e8 | − | 1.88974e8i | 1.47704 | − | 0.433697i | ||||
\(295\) | 1.03478e8 | − | 2.26584e8i | 0.234676 | − | 0.513869i | ||||
\(296\) | −8.73429e7 | + | 6.07483e8i | −0.195752 | + | 1.36149i | ||||
\(297\) | −7.42170e7 | + | 4.76964e7i | −0.164383 | + | 0.105642i | ||||
\(298\) | −1.22759e9 | −2.68717 | ||||||||
\(299\) | −7.06277e8 | + | 3.57507e8i | −1.52801 | + | 0.773455i | ||||
\(300\) | −6.17322e8 | −1.32004 | ||||||||
\(301\) | 7.70415e8 | − | 4.95116e8i | 1.62833 | − | 1.04646i | ||||
\(302\) | 4.85734e7 | − | 3.37835e8i | 0.101478 | − | 0.705798i | ||||
\(303\) | 9.61238e7 | − | 2.10482e8i | 0.198510 | − | 0.434675i | ||||
\(304\) | 2.80233e8 | − | 8.22839e7i | 0.572087 | − | 0.167980i | ||||
\(305\) | 9.20501e6 | + | 2.01562e7i | 0.0185770 | + | 0.0406779i | ||||
\(306\) | −2.30547e8 | − | 2.66065e8i | −0.459975 | − | 0.530839i | ||||
\(307\) | −2.40530e7 | − | 1.67293e8i | −0.0474445 | − | 0.329984i | −0.999696 | − | 0.0246680i | \(-0.992147\pi\) |
0.952251 | − | 0.305316i | \(-0.0987620\pi\) | |||||||
\(308\) | −2.02655e9 | − | 5.95050e8i | −3.95212 | − | 1.16045i | ||||
\(309\) | −2.87180e8 | + | 3.31424e8i | −0.553733 | + | 0.639042i | ||||
\(310\) | 5.91516e8 | + | 3.80144e8i | 1.12772 | + | 0.724741i | ||||
\(311\) | 1.20363e8 | + | 7.73528e7i | 0.226899 | + | 0.145819i | 0.649152 | − | 0.760659i | \(-0.275124\pi\) |
−0.422253 | + | 0.906478i | \(0.638760\pi\) | |||||||
\(312\) | −1.06875e9 | + | 1.23340e9i | −1.99221 | + | 2.29913i | ||||
\(313\) | 1.11121e8 | + | 3.26281e7i | 0.204829 | + | 0.0601432i | 0.382538 | − | 0.923940i | \(-0.375050\pi\) |
−0.177709 | + | 0.984083i | \(0.556868\pi\) | |||||||
\(314\) | −2.38088e8 | − | 1.65594e9i | −0.433994 | − | 3.01849i | ||||
\(315\) | −6.67580e7 | − | 7.70428e7i | −0.120342 | − | 0.138882i | ||||
\(316\) | −4.69852e7 | − | 1.02883e8i | −0.0837637 | − | 0.183417i | ||||
\(317\) | 7.04571e7 | − | 2.06881e7i | 0.124227 | − | 0.0364764i | −0.219028 | − | 0.975719i | \(-0.570289\pi\) |
0.343255 | + | 0.939242i | \(0.388470\pi\) | |||||||
\(318\) | 1.61772e8 | − | 3.54231e8i | 0.282103 | − | 0.617720i | ||||
\(319\) | 3.62976e6 | − | 2.52456e7i | 0.00626053 | − | 0.0435429i | ||||
\(320\) | −4.58577e8 | + | 2.94710e8i | −0.782326 | + | 0.502770i | ||||
\(321\) | 5.28299e8 | 0.891481 | ||||||||
\(322\) | 1.38000e9 | + | 1.10190e9i | 2.30347 | + | 1.83928i | ||||
\(323\) | 1.23693e8 | 0.204238 | ||||||||
\(324\) | 1.49795e8 | − | 9.62675e7i | 0.244675 | − | 0.157243i | ||||
\(325\) | −1.31748e8 | + | 9.16327e8i | −0.212888 | + | 1.48067i | ||||
\(326\) | −7.04734e8 | + | 1.54315e9i | −1.12658 | + | 2.46688i | ||||
\(327\) | 2.83230e8 | − | 8.31640e7i | 0.447943 | − | 0.131528i | ||||
\(328\) | −5.74003e8 | − | 1.25689e9i | −0.898164 | − | 1.96670i | ||||
\(329\) | 1.53312e8 | + | 1.76931e8i | 0.237350 | + | 0.273917i | ||||
\(330\) | 3.68491e7 | + | 2.56291e8i | 0.0564453 | + | 0.392586i | ||||
\(331\) | −3.30786e8 | − | 9.71275e7i | −0.501359 | − | 0.147212i | 0.0212677 | − | 0.999774i | \(-0.493230\pi\) |
−0.522627 | + | 0.852561i | \(0.675048\pi\) | |||||||
\(332\) | 5.84314e7 | − | 6.74334e7i | 0.0876320 | − | 0.101133i | ||||
\(333\) | −8.44754e7 | − | 5.42890e7i | −0.125365 | − | 0.0805670i | ||||
\(334\) | 1.56783e9 | + | 1.00758e9i | 2.30243 | + | 1.47968i | ||||
\(335\) | −1.22914e8 | + | 1.41851e8i | −0.178626 | + | 0.206146i | ||||
\(336\) | 1.93073e9 | + | 5.66912e8i | 2.77673 | + | 0.815320i | ||||
\(337\) | −1.26864e8 | − | 8.82359e8i | −0.180565 | − | 1.25586i | −0.855431 | − | 0.517917i | \(-0.826707\pi\) |
0.674865 | − | 0.737941i | \(-0.264202\pi\) | |||||||
\(338\) | 1.70927e9 | + | 1.97260e9i | 2.40770 | + | 2.77863i | ||||
\(339\) | 9.26925e7 | + | 2.02968e8i | 0.129225 | + | 0.282963i | ||||
\(340\) | −7.17357e8 | + | 2.10635e8i | −0.989827 | + | 0.290639i | ||||
\(341\) | −6.11899e8 | + | 1.33987e9i | −0.835678 | + | 1.82988i | ||||
\(342\) | −1.23047e7 | + | 8.55813e7i | −0.0166334 | + | 0.115688i | ||||
\(343\) | −3.91545e8 | + | 2.51631e8i | −0.523905 | + | 0.336693i | ||||
\(344\) | 2.90124e9 | 3.84264 | ||||||||
\(345\) | 3.80589e7 | − | 1.51954e8i | 0.0498987 | − | 0.199225i | ||||
\(346\) | −1.97866e9 | −2.56806 | ||||||||
\(347\) | −8.25346e8 | + | 5.30418e8i | −1.06043 | + | 0.681499i | −0.949957 | − | 0.312380i | \(-0.898874\pi\) |
−0.110475 | + | 0.993879i | \(0.535237\pi\) | |||||||
\(348\) | −7.32610e6 | + | 5.09541e7i | −0.00931849 | + | 0.0648115i | ||||
\(349\) | −4.01389e8 | + | 8.78920e8i | −0.505448 | + | 1.10678i | 0.469211 | + | 0.883086i | \(0.344538\pi\) |
−0.974660 | + | 0.223692i | \(0.928189\pi\) | |||||||
\(350\) | 1.98155e9 | − | 5.81836e8i | 2.47040 | − | 0.725375i | ||||
\(351\) | −1.10926e8 | − | 2.42895e8i | −0.136918 | − | 0.299808i | ||||
\(352\) | −1.67299e9 | − | 1.93074e9i | −2.04454 | − | 2.35952i | ||||
\(353\) | −1.08877e8 | − | 7.57258e8i | −0.131742 | − | 0.916288i | −0.943282 | − | 0.331992i | \(-0.892279\pi\) |
0.811540 | − | 0.584297i | \(-0.198630\pi\) | |||||||
\(354\) | −1.39661e9 | − | 4.10081e8i | −1.67326 | − | 0.491313i | ||||
\(355\) | 1.87900e8 | − | 2.16848e8i | 0.222909 | − | 0.257250i | ||||
\(356\) | 1.24847e9 | + | 8.02346e8i | 1.46658 | + | 0.942512i | ||||
\(357\) | 7.16922e8 | + | 4.60738e8i | 0.833937 | + | 0.535939i | ||||
\(358\) | −9.90138e7 | + | 1.14268e8i | −0.114053 | + | 0.131624i | ||||
\(359\) | −3.09308e8 | − | 9.08210e7i | −0.352826 | − | 0.103599i | 0.100517 | − | 0.994935i | \(-0.467950\pi\) |
−0.453343 | + | 0.891336i | \(0.649769\pi\) | |||||||
\(360\) | −4.59611e7 | − | 3.19667e8i | −0.0519197 | − | 0.361109i | ||||
\(361\) | 5.65468e8 | + | 6.52585e8i | 0.632606 | + | 0.730066i | ||||
\(362\) | −4.79252e8 | − | 1.04942e9i | −0.530987 | − | 1.16270i | ||||
\(363\) | −1.56057e7 | + | 4.58223e6i | −0.0171241 | + | 0.00502810i | ||||
\(364\) | 2.65567e9 | − | 5.81511e9i | 2.88615 | − | 6.31980i | ||||
\(365\) | 5.31026e7 | − | 3.69337e8i | 0.0571599 | − | 0.397556i | ||||
\(366\) | 1.08927e8 | − | 7.00034e7i | 0.116132 | − | 0.0746338i | ||||
\(367\) | −9.56885e8 | −1.01048 | −0.505241 | − | 0.862978i | \(-0.668596\pi\) | ||||
−0.505241 | + | 0.862978i | \(0.668596\pi\) | |||||||
\(368\) | 9.89615e8 | + | 2.92941e9i | 1.03514 | + | 3.06417i | ||||
\(369\) | 2.26078e8 | 0.234242 | ||||||||
\(370\) | −2.47931e8 | + | 1.59335e8i | −0.254463 | + | 0.163533i | ||||
\(371\) | −1.34155e8 | + | 9.33067e8i | −0.136395 | + | 0.948645i | ||||
\(372\) | 1.23502e9 | − | 2.70432e9i | 1.24387 | − | 2.72369i | ||||
\(373\) | −1.57154e9 | + | 4.61447e8i | −1.56800 | + | 0.460406i | −0.946418 | − | 0.322945i | \(-0.895327\pi\) |
−0.621580 | + | 0.783351i | \(0.713509\pi\) | |||||||
\(374\) | −8.99187e8 | − | 1.96894e9i | −0.888790 | − | 1.94618i | ||||
\(375\) | −2.57311e8 | − | 2.96953e8i | −0.251970 | − | 0.290789i | ||||
\(376\) | 1.05551e8 | + | 7.34125e8i | 0.102401 | + | 0.712217i | ||||
\(377\) | 7.40706e7 | + | 2.17491e7i | 0.0711953 | + | 0.0209048i | ||||
\(378\) | −3.90096e8 | + | 4.50195e8i | −0.371493 | + | 0.428725i | ||||
\(379\) | −8.54634e8 | − | 5.49240e8i | −0.806385 | − | 0.518232i | 0.0713083 | − | 0.997454i | \(-0.477283\pi\) |
−0.877694 | + | 0.479222i | \(0.840919\pi\) | |||||||
\(380\) | 1.54466e8 | + | 9.92691e7i | 0.144408 | + | 0.0928051i | ||||
\(381\) | 1.28691e8 | − | 1.48517e8i | 0.119209 | − | 0.137575i | ||||
\(382\) | 2.83149e9 | + | 8.31400e8i | 2.59892 | + | 0.763112i | ||||
\(383\) | 1.96458e8 | + | 1.36640e9i | 0.178679 | + | 1.24274i | 0.859823 | + | 0.510592i | \(0.170574\pi\) |
−0.681144 | + | 0.732150i | \(0.738517\pi\) | |||||||
\(384\) | 7.95965e8 | + | 9.18593e8i | 0.717356 | + | 0.827873i | ||||
\(385\) | −2.60372e8 | − | 5.70135e8i | −0.232531 | − | 0.509173i | ||||
\(386\) | −2.60274e9 | + | 7.64233e8i | −2.30343 | + | 0.676348i | ||||
\(387\) | −1.97193e8 | + | 4.31793e8i | −0.172943 | + | 0.378693i | ||||
\(388\) | −2.37669e8 | + | 1.65302e9i | −0.206567 | + | 1.43670i | ||||
\(389\) | 1.33754e9 | − | 8.59588e8i | 1.15209 | − | 0.740401i | 0.182032 | − | 0.983293i | \(-0.441732\pi\) |
0.970053 | + | 0.242892i | \(0.0780961\pi\) | |||||||
\(390\) | −7.83705e8 | −0.669001 | ||||||||
\(391\) | 5.26078e7 | + | 1.30847e9i | 0.0445073 | + | 1.10699i | ||||
\(392\) | −5.14383e9 | −4.31306 | ||||||||
\(393\) | −2.35425e8 | + | 1.51299e8i | −0.195650 | + | 0.125736i | ||||
\(394\) | 2.29462e8 | − | 1.59594e9i | 0.189005 | − | 1.31456i | ||||
\(395\) | 1.39430e7 | − | 3.05309e7i | 0.0113833 | − | 0.0249259i | ||||
\(396\) | 1.05044e9 | − | 3.08436e8i | 0.850036 | − | 0.249593i | ||||
\(397\) | 3.62220e8 | + | 7.93151e8i | 0.290540 | + | 0.636193i | 0.997470 | − | 0.0710902i | \(-0.0226478\pi\) |
−0.706930 | + | 0.707283i | \(0.749921\pi\) | |||||||
\(398\) | −2.50126e9 | − | 2.88661e9i | −1.98870 | − | 2.29508i | ||||
\(399\) | −2.97857e7 | − | 2.07164e8i | −0.0234748 | − | 0.163271i | ||||
\(400\) | 3.46956e9 | + | 1.01875e9i | 2.71059 | + | 0.795901i | ||||
\(401\) | −7.05759e8 | + | 8.14489e8i | −0.546577 | + | 0.630783i | −0.960082 | − | 0.279719i | \(-0.909759\pi\) |
0.413505 | + | 0.910502i | \(0.364304\pi\) | |||||||
\(402\) | 9.22676e8 | + | 5.92968e8i | 0.708366 | + | 0.455239i | ||||
\(403\) | −3.75059e9 | − | 2.41036e9i | −2.85452 | − | 1.83449i | ||||
\(404\) | −1.88040e9 | + | 2.17009e9i | −1.41878 | + | 1.63736i | ||||
\(405\) | 5.07000e7 | + | 1.48869e7i | 0.0379241 | + | 0.0111355i | ||||
\(406\) | −2.45089e7 | − | 1.70463e8i | −0.0181754 | − | 0.126412i | ||||
\(407\) | −4.04306e8 | − | 4.66594e8i | −0.297255 | − | 0.343051i | ||||
\(408\) | 1.12154e9 | + | 2.45582e9i | 0.817529 | + | 1.79014i | ||||
\(409\) | 1.45449e9 | − | 4.27078e8i | 1.05119 | − | 0.308657i | 0.289891 | − | 0.957060i | \(-0.406381\pi\) |
0.761297 | + | 0.648403i | \(0.224563\pi\) | |||||||
\(410\) | 2.75639e8 | − | 6.03564e8i | 0.197513 | − | 0.432494i | ||||
\(411\) | 9.75265e7 | − | 6.78311e8i | 0.0692909 | − | 0.481929i | ||||
\(412\) | 4.57810e9 | − | 2.94216e9i | 3.22511 | − | 2.07265i | ||||
\(413\) | 3.52345e9 | 2.46118 | ||||||||
\(414\) | −9.10543e8 | − | 9.37653e7i | −0.630666 | − | 0.0649443i | ||||
\(415\) | 2.64785e7 | 0.0181855 | ||||||||
\(416\) | 6.50502e9 | − | 4.18052e9i | 4.43018 | − | 2.84711i | ||||
\(417\) | −1.68176e7 | + | 1.16969e8i | −0.0113577 | + | 0.0789943i | ||||
\(418\) | −2.20832e8 | + | 4.83554e8i | −0.147892 | + | 0.323838i | ||||
\(419\) | 7.30551e8 | − | 2.14509e8i | 0.485179 | − | 0.142461i | −0.0299899 | − | 0.999550i | \(-0.509548\pi\) |
0.515169 | + | 0.857089i | \(0.327729\pi\) | |||||||
\(420\) | 5.25519e8 | + | 1.15073e9i | 0.346111 | + | 0.757878i | ||||
\(421\) | −4.23955e8 | − | 4.89270e8i | −0.276906 | − | 0.319566i | 0.600213 | − | 0.799841i | \(-0.295083\pi\) |
−0.877118 | + | 0.480274i | \(0.840537\pi\) | |||||||
\(422\) | 1.05634e8 | + | 7.34704e8i | 0.0684246 | + | 0.475903i | ||||
\(423\) | −1.16434e8 | − | 3.41882e7i | −0.0747979 | − | 0.0219627i | ||||
\(424\) | −1.95565e9 | + | 2.25694e9i | −1.24598 | + | 1.43794i | ||||
\(425\) | 1.28833e9 | + | 8.27956e8i | 0.814075 | + | 0.523174i | ||||
\(426\) | −1.41050e9 | − | 9.06473e8i | −0.883973 | − | 0.568095i | ||||
\(427\) | −2.05255e8 | + | 2.36877e8i | −0.127584 | + | 0.147240i | ||||
\(428\) | −6.29034e9 | − | 1.84701e9i | −3.87811 | − | 1.13872i | ||||
\(429\) | −2.33647e8 | − | 1.62505e9i | −0.142876 | − | 0.993726i | ||||
\(430\) | 9.12346e8 | + | 1.05290e9i | 0.553375 | + | 0.638629i | ||||
\(431\) | 1.27447e9 | + | 2.79071e9i | 0.766762 | + | 1.67898i | 0.733654 | + | 0.679523i | \(0.237813\pi\) |
0.0331084 | + | 0.999452i | \(0.489459\pi\) | |||||||
\(432\) | −1.00077e9 | + | 2.93852e8i | −0.597227 | + | 0.175362i | ||||
\(433\) | 1.79781e8 | − | 3.93666e8i | 0.106423 | − | 0.233034i | −0.848927 | − | 0.528510i | \(-0.822751\pi\) |
0.955350 | + | 0.295476i | \(0.0954781\pi\) | |||||||
\(434\) | −1.41545e9 | + | 9.84465e9i | −0.831150 | + | 5.78078i | ||||
\(435\) | −1.28512e7 | + | 8.25899e6i | −0.00748570 | + | 0.00481077i | ||||
\(436\) | −3.66311e9 | −2.11664 | ||||||||
\(437\) | 2.34397e8 | − | 2.20202e8i | 0.134359 | − | 0.126222i | ||||
\(438\) | −2.18039e9 | −1.23987 | ||||||||
\(439\) | −3.37836e8 | + | 2.17114e8i | −0.190581 | + | 0.122479i | −0.632452 | − | 0.774600i | \(-0.717951\pi\) |
0.441870 | + | 0.897079i | \(0.354315\pi\) | |||||||
\(440\) | 2.82585e8 | − | 1.96542e9i | 0.158148 | − | 1.09994i | ||||
\(441\) | 3.49619e8 | − | 7.65558e8i | 0.194115 | − | 0.425053i | ||||
\(442\) | 6.28616e9 | − | 1.84578e9i | 3.46264 | − | 1.01672i | ||||
\(443\) | −4.35409e8 | − | 9.53413e8i | −0.237949 | − | 0.521037i | 0.752553 | − | 0.658532i | \(-0.228822\pi\) |
−0.990502 | + | 0.137495i | \(0.956095\pi\) | |||||||
\(444\) | 8.16027e8 | + | 9.41745e8i | 0.442450 | + | 0.510614i | ||||
\(445\) | 6.26756e7 | + | 4.35919e8i | 0.0337162 | + | 0.234501i | ||||
\(446\) | 2.40987e9 | + | 7.07601e8i | 1.28624 | + | 0.377674i | ||||
\(447\) | −1.00867e9 | + | 1.16407e9i | −0.534161 | + | 0.616454i | ||||
\(448\) | −6.48659e9 | − | 4.16868e9i | −3.40834 | − | 2.19041i | ||||
\(449\) | 2.29162e8 | + | 1.47273e8i | 0.119476 | + | 0.0767824i | 0.599014 | − | 0.800739i | \(-0.295559\pi\) |
−0.479538 | + | 0.877521i | \(0.659196\pi\) | |||||||
\(450\) | −7.01011e8 | + | 8.09010e8i | −0.362645 | + | 0.418514i | ||||
\(451\) | 1.33370e9 | + | 3.91609e8i | 0.684604 | + | 0.201018i | ||||
\(452\) | −3.94062e8 | − | 2.74076e9i | −0.200715 | − | 1.39600i | ||||
\(453\) | −2.80443e8 | − | 3.23648e8i | −0.141743 | − | 0.163580i | ||||
\(454\) | 1.51298e9 | + | 3.31297e9i | 0.758819 | + | 1.66158i | ||||
\(455\) | 1.82024e9 | − | 5.34472e8i | 0.905920 | − | 0.266002i | ||||
\(456\) | 2.75439e8 | − | 6.03127e8i | 0.136034 | − | 0.297874i | ||||
\(457\) | 1.46416e8 | − | 1.01835e9i | 0.0717599 | − | 0.499101i | −0.921967 | − | 0.387268i | \(-0.873419\pi\) |
0.993727 | − | 0.111833i | \(-0.0356722\pi\) | |||||||
\(458\) | 3.66639e9 | − | 2.35624e9i | 1.78324 | − | 1.14602i | ||||
\(459\) | −4.41731e8 | −0.213213 | ||||||||
\(460\) | −9.84409e8 | + | 1.67622e9i | −0.471545 | + | 0.802930i | ||||
\(461\) | 3.36161e9 | 1.59806 | 0.799032 | − | 0.601289i | \(-0.205346\pi\) | ||||
0.799032 | + | 0.601289i | \(0.205346\pi\) | |||||||
\(462\) | −3.08111e9 | + | 1.98011e9i | −1.45365 | + | 0.934205i | ||||
\(463\) | 4.80864e8 | − | 3.34449e9i | 0.225159 | − | 1.56602i | −0.492933 | − | 0.870067i | \(-0.664075\pi\) |
0.718092 | − | 0.695948i | \(-0.245016\pi\) | |||||||
\(464\) | 1.25264e8 | − | 2.74289e8i | 0.0582119 | − | 0.127466i | ||||
\(465\) | 8.46504e8 | − | 2.48556e8i | 0.390431 | − | 0.114641i | ||||
\(466\) | −7.70003e8 | − | 1.68607e9i | −0.352486 | − | 0.771837i | ||||
\(467\) | −2.24105e9 | − | 2.58630e9i | −1.01822 | − | 1.17509i | −0.984451 | − | 0.175659i | \(-0.943794\pi\) |
−0.0337689 | − | 0.999430i | \(-0.510751\pi\) | |||||||
\(468\) | 4.71579e8 | + | 3.27991e9i | 0.212664 | + | 1.47911i | ||||
\(469\) | −2.54741e9 | − | 7.47988e8i | −1.14023 | − | 0.334803i | ||||
\(470\) | −2.33232e8 | + | 2.69164e8i | −0.103620 | + | 0.119584i | ||||
\(471\) | −1.76588e9 | − | 1.13486e9i | −0.778733 | − | 0.500461i | ||||
\(472\) | 9.39033e9 | + | 6.03480e9i | 4.11040 | + | 2.64159i | ||||
\(473\) | −1.91125e9 | + | 2.20570e9i | −0.830430 | + | 0.958367i | ||||
\(474\) | −1.88185e8 | − | 5.52560e7i | −0.0811634 | − | 0.0238317i | ||||
\(475\) | −5.35255e7 | − | 3.72278e8i | −0.0229157 | − | 0.159382i | ||||
\(476\) | −6.92542e9 | − | 7.99236e9i | −2.94321 | − | 3.39665i | ||||
\(477\) | −2.02979e8 | − | 4.44461e8i | −0.0856320 | − | 0.187508i | ||||
\(478\) | −3.16892e9 | + | 9.30479e8i | −1.32713 | + | 0.389681i | ||||
\(479\) | 1.46801e9 | − | 3.21449e9i | 0.610315 | − | 1.33640i | −0.312043 | − | 0.950068i | \(-0.601013\pi\) |
0.922358 | − | 0.386336i | \(-0.126259\pi\) | |||||||
\(480\) | −2.17764e8 | + | 1.51458e9i | −0.0898755 | + | 0.625098i | ||||
\(481\) | 1.57204e9 | − | 1.01029e9i | 0.644104 | − | 0.413941i | ||||
\(482\) | 5.90679e9 | 2.40263 | ||||||||
\(483\) | 2.17879e9 | − | 4.03193e8i | 0.879832 | − | 0.162816i | ||||
\(484\) | 2.01833e8 | 0.0809158 | ||||||||
\(485\) | −4.16912e8 | + | 2.67933e8i | −0.165939 | + | 0.106642i | ||||
\(486\) | 4.39425e7 | − | 3.05627e8i | 0.0173643 | − | 0.120772i | ||||
\(487\) | 4.89702e8 | − | 1.07230e9i | 0.192124 | − | 0.420692i | −0.788916 | − | 0.614502i | \(-0.789357\pi\) |
0.981039 | + | 0.193810i | \(0.0620844\pi\) | |||||||
\(488\) | −9.52739e8 | + | 2.79749e8i | −0.371111 | + | 0.108968i | ||||
\(489\) | 8.84246e8 | + | 1.93623e9i | 0.341973 | + | 0.748817i | ||||
\(490\) | −1.61756e9 | − | 1.86677e9i | −0.621120 | − | 0.716810i | ||||
\(491\) | 7.00831e7 | + | 4.87438e8i | 0.0267195 | + | 0.185838i | 0.998810 | − | 0.0487674i | \(-0.0155293\pi\) |
−0.972091 | + | 0.234605i | \(0.924620\pi\) | |||||||
\(492\) | −2.69185e9 | − | 7.90400e8i | −1.01900 | − | 0.299205i | ||||
\(493\) | 8.36292e7 | − | 9.65133e7i | 0.0314336 | − | 0.0362763i | ||||
\(494\) | −1.35358e9 | − | 8.69890e8i | −0.505171 | − | 0.324653i | ||||
\(495\) | 2.73307e8 | + | 1.75644e8i | 0.101282 | + | 0.0650901i | ||||
\(496\) | −1.14041e10 | + | 1.31610e10i | −4.19638 | + | 4.84288i | ||||
\(497\) | 3.89424e9 | + | 1.14345e9i | 1.42290 | + | 0.417802i | ||||
\(498\) | −2.20197e7 | − | 1.53150e8i | −0.00798930 | − | 0.0555668i | ||||
\(499\) | −1.90648e9 | − | 2.20019e9i | −0.686878 | − | 0.792699i | 0.300040 | − | 0.953927i | \(-0.403000\pi\) |
−0.986917 | + | 0.161228i | \(0.948455\pi\) | |||||||
\(500\) | 2.02555e9 | + | 4.43534e9i | 0.724684 | + | 1.58684i | ||||
\(501\) | 2.24368e9 | − | 6.58804e8i | 0.797129 | − | 0.234058i | ||||
\(502\) | −4.42566e9 | + | 9.69084e9i | −1.56140 | + | 3.41899i | ||||
\(503\) | 2.29888e8 | − | 1.59890e9i | 0.0805430 | − | 0.560189i | −0.909093 | − | 0.416593i | \(-0.863224\pi\) |
0.989636 | − | 0.143596i | \(-0.0458667\pi\) | |||||||
\(504\) | 3.84301e9 | − | 2.46975e9i | 1.33710 | − | 0.859303i | ||||
\(505\) | −8.52111e8 | −0.294426 | ||||||||
\(506\) | −5.20914e9 | − | 2.13038e9i | −1.78747 | − | 0.731021i | ||||
\(507\) | 3.27499e9 | 1.11604 | ||||||||
\(508\) | −2.05153e9 | + | 1.31844e9i | −0.694312 | + | 0.446207i | ||||
\(509\) | 1.22578e8 | − | 8.52548e8i | 0.0412002 | − | 0.286554i | −0.958797 | − | 0.284093i | \(-0.908308\pi\) |
0.999997 | − | 0.00246099i | \(-0.000783358\pi\) | |||||||
\(510\) | −5.38567e8 | + | 1.17930e9i | −0.179781 | + | 0.393666i | ||||
\(511\) | 5.06421e9 | − | 1.48699e9i | 1.67895 | − | 0.492985i | ||||
\(512\) | 7.25911e6 | + | 1.58952e7i | 0.00239022 | + | 0.00523386i | ||||
\(513\) | 7.10425e7 | + | 8.19874e7i | 0.0232331 | + | 0.0268125i | ||||
\(514\) | 3.67827e8 | + | 2.55829e9i | 0.119474 | + | 0.830959i | ||||
\(515\) | 1.54951e9 | + | 4.54978e8i | 0.499885 | + | 0.146779i | ||||
\(516\) | 3.85755e9 | − | 4.45185e9i | 1.23605 | − | 1.42648i | ||||
\(517\) | −6.27659e8 | − | 4.03372e8i | −0.199759 | − | 0.128377i | ||||
\(518\) | −3.50699e9 | − | 2.25380e9i | −1.10861 | − | 0.712462i | ||||
\(519\) | −1.62580e9 | + | 1.87628e9i | −0.510484 | + | 0.589130i | ||||
\(520\) | 5.76655e9 | + | 1.69321e9i | 1.79847 | + | 0.528080i | ||||
\(521\) | 1.77783e8 | + | 1.23650e9i | 0.0550753 | + | 0.383057i | 0.998652 | + | 0.0519035i | \(0.0165288\pi\) |
−0.943577 | + | 0.331154i | \(0.892562\pi\) | |||||||
\(522\) | 5.84569e7 | + | 6.74628e7i | 0.0179882 | + | 0.0207595i | ||||
\(523\) | −7.57737e8 | − | 1.65921e9i | −0.231613 | − | 0.507162i | 0.757765 | − | 0.652528i | \(-0.226291\pi\) |
−0.989378 | + | 0.145366i | \(0.953564\pi\) | |||||||
\(524\) | 3.33211e9 | − | 9.78397e8i | 1.01172 | − | 0.297068i | ||||
\(525\) | 1.07645e9 | − | 2.35709e9i | 0.324665 | − | 0.710918i | ||||
\(526\) | −9.97199e8 | + | 6.93567e9i | −0.298766 | + | 2.07797i | ||||
\(527\) | −6.20448e9 | + | 3.98738e9i | −1.84658 | + | 1.18672i | ||||
\(528\) | −6.41281e9 | −1.89596 | ||||||||
\(529\) | 2.42907e9 | + | 2.38589e9i | 0.713420 | + | 0.700737i | ||||
\(530\) | −1.43406e9 | −0.418411 | ||||||||
\(531\) | −1.53641e9 | + | 9.87391e8i | −0.445324 | + | 0.286192i | ||||
\(532\) | −3.69623e8 | + | 2.57079e9i | −0.106431 | + | 0.740245i | ||||
\(533\) | −1.74773e9 | + | 3.82699e9i | −0.499952 | + | 1.09474i | ||||
\(534\) | 2.46921e9 | − | 7.25027e8i | 0.701721 | − | 0.206044i | ||||
\(535\) | −8.08183e8 | − | 1.76967e9i | −0.228177 | − | 0.499638i | ||||
\(536\) | −5.50798e9 | − | 6.35655e9i | −1.54496 | − | 1.78297i | ||||
\(537\) | 2.69988e7 | + | 1.87781e8i | 0.00752375 | + | 0.0523288i | ||||
\(538\) | −2.20881e9 | − | 6.48564e8i | −0.611533 | − | 0.179562i | ||||
\(539\) | 3.38859e9 | − | 3.91064e9i | 0.932091 | − | 1.07569i | ||||
\(540\) | −5.51627e8 | − | 3.54509e8i | −0.150753 | − | 0.0968834i | ||||
\(541\) | −5.40279e9 | − | 3.47216e9i | −1.46699 | − | 0.942778i | −0.998231 | − | 0.0594525i | \(-0.981065\pi\) |
−0.468760 | − | 0.883326i | \(-0.655299\pi\) | |||||||
\(542\) | 7.30808e9 | − | 8.43397e9i | 1.97154 | − | 2.27528i | ||||
\(543\) | −1.38890e9 | − | 4.07818e8i | −0.372282 | − | 0.109312i | ||||
\(544\) | −1.82044e9 | − | 1.26614e10i | −0.484820 | − | 3.37200i | ||||
\(545\) | −7.11860e8 | − | 8.21531e8i | −0.188368 | − | 0.217388i | ||||
\(546\) | −4.60509e9 | − | 1.00837e10i | −1.21078 | − | 2.65123i | ||||
\(547\) | 1.34742e9 | − | 3.95639e8i | 0.352004 | − | 0.103358i | −0.100950 | − | 0.994891i | \(-0.532188\pi\) |
0.452954 | + | 0.891534i | \(0.350370\pi\) | |||||||
\(548\) | −3.53270e9 | + | 7.73553e9i | −0.917011 | + | 2.00797i | ||||
\(549\) | 2.31211e7 | − | 1.60811e8i | 0.00596355 | − | 0.0414774i | ||||
\(550\) | −5.53682e9 | + | 3.55830e9i | −1.41903 | + | 0.911954i | ||||
\(551\) | −3.13632e7 | −0.00798712 | ||||||||
\(552\) | 6.49725e9 | + | 2.65718e9i | 1.64416 | + | 0.672410i | ||||
\(553\) | 4.74764e8 | 0.119382 | ||||||||
\(554\) | 5.24290e9 | − | 3.36941e9i | 1.31005 | − | 0.841918i | ||||
\(555\) | −5.26261e7 | + | 3.66023e8i | −0.0130670 | + | 0.0908830i | ||||
\(556\) | 6.09185e8 | − | 1.33393e9i | 0.150310 | − | 0.329133i | ||||
\(557\) | 1.81165e9 | − | 5.31949e8i | 0.444203 | − | 0.130430i | −0.0519791 | − | 0.998648i | \(-0.516553\pi\) |
0.496182 | + | 0.868218i | \(0.334735\pi\) | |||||||
\(558\) | −2.14160e9 | − | 4.68945e9i | −0.521817 | − | 1.14262i | ||||
\(559\) | −5.78486e9 | − | 6.67608e9i | −1.40072 | − | 1.61652i | ||||
\(560\) | −1.05457e9 | − | 7.33472e9i | −0.253757 | − | 1.76492i | ||||
\(561\) | −2.60590e9 | − | 7.65160e8i | −0.623142 | − | 0.182971i | ||||
\(562\) | 3.40087e9 | − | 3.92481e9i | 0.808189 | − | 0.932700i | ||||
\(563\) | −3.76092e9 | − | 2.41699e9i | −0.888207 | − | 0.570816i | 0.0150638 | − | 0.999887i | \(-0.495205\pi\) |
−0.903271 | + | 0.429070i | \(0.858841\pi\) | |||||||
\(564\) | 1.26683e9 | + | 8.14142e8i | 0.297332 | + | 0.191083i | ||||
\(565\) | 5.38095e8 | − | 6.20995e8i | 0.125513 | − | 0.144850i | ||||
\(566\) | −8.05660e9 | − | 2.36563e9i | −1.86765 | − | 0.548390i | ||||
\(567\) | 1.06370e8 | + | 7.39822e8i | 0.0245064 | + | 0.170446i | ||||
\(568\) | 8.42008e9 | + | 9.71729e9i | 1.92796 | + | 2.22498i | ||||
\(569\) | 1.97456e9 | + | 4.32368e9i | 0.449342 | + | 0.983922i | 0.989789 | + | 0.142543i | \(0.0455280\pi\) |
−0.540447 | + | 0.841378i | \(0.681745\pi\) | |||||||
\(570\) | 3.05500e8 | − | 8.97029e7i | 0.0690954 | − | 0.0202883i | ||||
\(571\) | −2.45499e9 | + | 5.37568e9i | −0.551853 | + | 1.20839i | 0.404058 | + | 0.914734i | \(0.367600\pi\) |
−0.955911 | + | 0.293657i | \(0.905128\pi\) | |||||||
\(572\) | −2.89943e9 | + | 2.01660e10i | −0.647778 | + | 4.50540i | ||||
\(573\) | 3.11492e9 | − | 2.00184e9i | 0.691681 | − | 0.444517i | ||||
\(574\) | 9.38559e9 | 2.07143 | ||||||||
\(575\) | 3.91533e9 | − | 7.24546e8i | 0.858876 | − | 0.158938i | ||||
\(576\) | 3.99670e9 | 0.871411 | ||||||||
\(577\) | 2.38300e9 | − | 1.53146e9i | 0.516427 | − | 0.331887i | −0.256330 | − | 0.966589i | \(-0.582513\pi\) |
0.772757 | + | 0.634702i | \(0.218877\pi\) | |||||||
\(578\) | 2.85772e8 | − | 1.98759e9i | 0.0615563 | − | 0.428134i | ||||
\(579\) | −1.41390e9 | + | 3.09601e9i | −0.302722 | + | 0.662868i | ||||
\(580\) | 1.81891e8 | − | 5.34081e7i | 0.0387092 | − | 0.0113660i | ||||
\(581\) | 1.55589e8 | + | 3.40692e8i | 0.0329126 | + | 0.0720685i | ||||
\(582\) | 1.89642e9 | + | 2.18859e9i | 0.398753 | + | 0.460186i | ||||
\(583\) | −4.27539e8 | − | 2.97360e9i | −0.0893585 | − | 0.621502i | ||||
\(584\) | 1.60434e10 | + | 4.71078e9i | 3.33313 | + | 0.978696i | ||||
\(585\) | −6.43946e8 | + | 7.43153e8i | −0.132985 | + | 0.153473i | ||||
\(586\) | 4.62920e8 | + | 2.97501e8i | 0.0950308 | + | 0.0610726i | ||||
\(587\) | 6.53371e9 | + | 4.19896e9i | 1.33329 | + | 0.856857i | 0.996407 | − | 0.0846883i | \(-0.0269894\pi\) |
0.336887 | + | 0.941545i | \(0.390626\pi\) | |||||||
\(588\) | −6.83933e9 | + | 7.89300e9i | −1.38737 | + | 1.60111i | ||||
\(589\) | 1.73793e9 | + | 5.10302e8i | 0.350452 | + | 0.102902i | ||||
\(590\) | 7.62835e8 | + | 5.30563e9i | 0.152914 | + | 1.06354i | ||||
\(591\) | −1.32482e9 | − | 1.52893e9i | −0.263998 | − | 0.304670i | ||||
\(592\) | −3.03220e9 | − | 6.63959e9i | −0.600664 | − | 1.31527i | ||||
\(593\) | −4.48972e9 | + | 1.31830e9i | −0.884155 | + | 0.259611i | −0.692125 | − | 0.721778i | \(-0.743325\pi\) |
−0.192030 | + | 0.981389i | \(0.561507\pi\) | |||||||
\(594\) | 7.88633e8 | − | 1.72687e9i | 0.154391 | − | 0.338069i | ||||
\(595\) | 4.46625e8 | − | 3.10635e9i | 0.0869228 | − | 0.604561i | ||||
\(596\) | 1.60797e10 | − | 1.03338e10i | 3.11112 | − | 1.99939i | ||||
\(597\) | −4.79245e9 | −0.921823 | ||||||||
\(598\) | 8.62632e9 | − | 1.46886e10i | 1.64957 | − | 2.80883i | ||||
\(599\) | −7.57566e9 | −1.44021 | −0.720106 | − | 0.693864i | \(-0.755907\pi\) | ||||
−0.720106 | + | 0.693864i | \(0.755907\pi\) | |||||||
\(600\) | 6.90597e9 | − | 4.43820e9i | 1.30525 | − | 0.838836i | ||||
\(601\) | −1.33185e9 | + | 9.26320e9i | −0.250261 | + | 1.74061i | 0.346376 | + | 0.938096i | \(0.387412\pi\) |
−0.596638 | + | 0.802511i | \(0.703497\pi\) | |||||||
\(602\) | −8.18646e9 | + | 1.79259e10i | −1.52936 | + | 3.34882i | ||||
\(603\) | 1.32042e9 | − | 3.87710e8i | 0.245245 | − | 0.0720106i | ||||
\(604\) | 2.20765e9 | + | 4.83408e9i | 0.407662 | + | 0.892656i | ||||
\(605\) | 3.92226e7 | + | 4.52654e7i | 0.00720101 | + | 0.00831040i | ||||
\(606\) | 7.08623e8 | + | 4.92858e9i | 0.129348 | + | 0.899637i | ||||
\(607\) | −1.03671e8 | − | 3.04406e7i | −0.0188147 | − | 0.00552450i | 0.272312 | − | 0.962209i | \(-0.412212\pi\) |
−0.291126 | + | 0.956685i | \(0.594030\pi\) | |||||||
\(608\) | −2.05725e9 | + | 2.37419e9i | −0.371214 | + | 0.428404i | ||||
\(609\) | −1.81781e8 | − | 1.16824e8i | −0.0326128 | − | 0.0209590i | ||||
\(610\) | −4.01130e8 | − | 2.57791e8i | −0.0715535 | − | 0.0459846i | ||||
\(611\) | 1.47884e9 | − | 1.70667e9i | 0.262287 | − | 0.302696i | ||||
\(612\) | 5.25958e9 | + | 1.54435e9i | 0.927516 | + | 0.272343i | ||||
\(613\) | 1.08138e9 | + | 7.52119e9i | 0.189613 | + | 1.31879i | 0.833011 | + | 0.553256i | \(0.186615\pi\) |
−0.643398 | + | 0.765532i | \(0.722476\pi\) | |||||||
\(614\) | 2.38169e9 | + | 2.74861e9i | 0.415237 | + | 0.479209i | ||||
\(615\) | −3.45850e8 | − | 7.57306e8i | −0.0599549 | − | 0.131283i | ||||
\(616\) | 2.69491e10 | − | 7.91296e9i | 4.64527 | − | 1.36398i | ||||
\(617\) | 8.13413e8 | − | 1.78113e9i | 0.139416 | − | 0.305279i | −0.827026 | − | 0.562164i | \(-0.809969\pi\) |
0.966442 | + | 0.256885i | \(0.0826963\pi\) | |||||||
\(618\) | 1.34299e9 | − | 9.34069e9i | 0.228883 | − | 1.59191i | ||||
\(619\) | 1.72754e9 | − | 1.11022e9i | 0.292759 | − | 0.188145i | −0.386014 | − | 0.922493i | \(-0.626148\pi\) |
0.678773 | + | 0.734348i | \(0.262512\pi\) | |||||||
\(620\) | −1.09481e10 | −1.84488 | ||||||||
\(621\) | −8.37078e8 | + | 7.86384e8i | −0.140264 | + | 0.131769i | ||||
\(622\) | −3.07881e9 | −0.513000 | ||||||||
\(623\) | −5.24058e9 | + | 3.36792e9i | −0.868302 | + | 0.558024i | ||||
\(624\) | 2.76233e9 | − | 1.92124e10i | 0.455123 | − | 3.16545i | ||||
\(625\) | 1.61356e9 | − | 3.53320e9i | 0.264365 | − | 0.578879i | ||||
\(626\) | −2.39118e9 | + | 7.02114e8i | −0.389585 | + | 0.114393i | ||||
\(627\) | 2.77083e8 | + | 6.06726e8i | 0.0448924 | + | 0.0983007i | ||||
\(628\) | 1.70583e10 | + | 1.96863e10i | 2.74838 | + | 3.17180i | ||||
\(629\) | −4.39939e8 | − | 3.05984e9i | −0.0704880 | − | 0.490255i | ||||
\(630\) | 2.10481e9 | + | 6.18027e8i | 0.335367 | + | 0.0984726i | ||||
\(631\) | −2.87729e9 | + | 3.32057e9i | −0.455911 | + | 0.526150i | −0.936439 | − | 0.350830i | \(-0.885900\pi\) |
0.480528 | + | 0.876979i | \(0.340445\pi\) | |||||||
\(632\) | 1.26529e9 | + | 8.13154e8i | 0.199380 | + | 0.128134i | ||||
\(633\) | 7.83484e8 | + | 5.03514e8i | 0.122777 | + | 0.0789040i | ||||
\(634\) | −1.03478e9 | + | 1.19420e9i | −0.161263 | + | 0.186108i | ||||
\(635\) | −6.94366e8 | − | 2.03884e8i | −0.107617 | − | 0.0315992i | ||||
\(636\) | 8.62920e8 | + | 6.00174e9i | 0.133006 | + | 0.925075i | ||||
\(637\) | 1.02564e10 | + | 1.18365e10i | 1.57220 | + | 1.81441i | ||||
\(638\) | 2.27996e8 | + | 4.99241e8i | 0.0347579 | + | 0.0761093i | ||||
\(639\) | −2.01853e9 | + | 5.92694e8i | −0.306043 | + | 0.0898623i | ||||
\(640\) | 1.85941e9 | − | 4.07154e9i | 0.280379 | − | 0.613944i | ||||
\(641\) | 9.79751e8 | − | 6.81432e9i | 0.146931 | − | 1.02193i | −0.774275 | − | 0.632849i | \(-0.781885\pi\) |
0.921206 | − | 0.389076i | \(-0.127206\pi\) | |||||||
\(642\) | −9.56364e9 | + | 6.14618e9i | −1.42643 | + | 0.916711i | ||||
\(643\) | −7.20617e9 | −1.06897 | −0.534486 | − | 0.845178i | \(-0.679495\pi\) | ||||
−0.534486 | + | 0.845178i | \(0.679495\pi\) | |||||||
\(644\) | −2.73519e10 | − | 2.81663e9i | −4.03541 | − | 0.415555i | ||||
\(645\) | 1.74807e9 | 0.256507 | ||||||||
\(646\) | −2.23917e9 | + | 1.43903e9i | −0.326794 | + | 0.210018i | ||||
\(647\) | −2.09349e8 | + | 1.45606e9i | −0.0303883 | + | 0.211355i | −0.999358 | − | 0.0358238i | \(-0.988594\pi\) |
0.968970 | + | 0.247179i | \(0.0795036\pi\) | |||||||
\(648\) | −9.83646e8 | + | 2.15388e9i | −0.142012 | + | 0.310964i | ||||
\(649\) | −1.07741e10 | + | 3.16355e9i | −1.54712 | + | 0.454275i | ||||
\(650\) | −8.27545e9 | − | 1.81207e10i | −1.18194 | − | 2.58809i | ||||
\(651\) | 8.17222e9 | + | 9.43124e9i | 1.16093 | + | 1.33979i | ||||
\(652\) | −3.75918e9 | − | 2.61457e10i | −0.531161 | − | 3.69431i | ||||
\(653\) | −1.62800e9 | − | 4.78024e8i | −0.228801 | − | 0.0671821i | 0.165322 | − | 0.986240i | \(-0.447134\pi\) |
−0.394124 | + | 0.919057i | \(0.628952\pi\) | |||||||
\(654\) | −4.15971e9 | + | 4.80056e9i | −0.581489 | + | 0.671074i | ||||
\(655\) | 8.66963e8 | + | 5.57163e8i | 0.120547 | + | 0.0774708i | ||||
\(656\) | 1.38247e10 | + | 8.88462e9i | 1.91202 | + | 1.22878i | ||||
\(657\) | −1.79156e9 | + | 2.06757e9i | −0.246463 | + | 0.284434i | ||||
\(658\) | −4.83376e9 | − | 1.41932e9i | −0.661445 | − | 0.194218i | ||||
\(659\) | 1.64378e9 | + | 1.14327e10i | 0.223740 | + | 1.55615i | 0.723710 | + | 0.690104i | \(0.242435\pi\) |
−0.499970 | + | 0.866043i | \(0.666656\pi\) | |||||||
\(660\) | −2.64013e9 | − | 3.04687e9i | −0.357455 | − | 0.412525i | ||||
\(661\) | −1.10108e9 | − | 2.41102e9i | −0.148290 | − | 0.324710i | 0.820881 | − | 0.571100i | \(-0.193483\pi\) |
−0.969171 | + | 0.246390i | \(0.920756\pi\) | |||||||
\(662\) | 7.11809e9 | − | 2.09006e9i | 0.953587 | − | 0.279998i | ||||
\(663\) | 3.41486e9 | − | 7.47751e9i | 0.455068 | − | 0.996459i | ||||
\(664\) | −1.68862e8 | + | 1.17446e9i | −0.0223844 | + | 0.155687i | ||||
\(665\) | −6.48383e8 | + | 4.16691e8i | −0.0854980 | + | 0.0549462i | ||||
\(666\) | 2.16082e9 | 0.283439 | ||||||||
\(667\) | −1.33391e7 | − | 3.31772e8i | −0.00174055 | − | 0.0432912i | ||||
\(668\) | −2.90182e10 | −3.76663 | ||||||||
\(669\) | 2.65110e9 | − | 1.70376e9i | 0.342322 | − | 0.219997i | ||||
\(670\) | 5.74804e8 | − | 3.99785e9i | 0.0738343 | − | 0.513529i | ||||
\(671\) | 4.14952e8 | − | 9.08618e8i | 0.0530236 | − | 0.116105i | ||||
\(672\) | −2.07673e10 | + | 6.09784e9i | −2.63991 | + | 0.775147i | ||||
\(673\) | 5.89891e8 | + | 1.29168e9i | 0.0745966 | + | 0.163344i | 0.943256 | − | 0.332065i | \(-0.107745\pi\) |
−0.868660 | + | 0.495409i | \(0.835018\pi\) | |||||||
\(674\) | 1.25618e10 | + | 1.44971e10i | 1.58032 | + | 1.82378i | ||||
\(675\) | 1.91150e8 | + | 1.32948e9i | 0.0239227 | + | 0.166386i | ||||
\(676\) | −3.89945e10 | − | 1.14498e10i | −4.85501 | − | 1.42556i | ||||
\(677\) | −3.65748e8 | + | 4.22096e8i | −0.0453025 | + | 0.0522819i | −0.777949 | − | 0.628328i | \(-0.783740\pi\) |
0.732646 | + | 0.680610i | \(0.238285\pi\) | |||||||
\(678\) | −4.03929e9 | − | 2.59590e9i | −0.497739 | − | 0.319877i | ||||
\(679\) | −5.89723e9 | − | 3.78992e9i | −0.722943 | − | 0.464607i | ||||
\(680\) | 6.51071e9 | − | 7.51376e9i | 0.794048 | − | 0.916381i | ||||
\(681\) | 4.38471e9 | + | 1.28747e9i | 0.532017 | + | 0.156214i | ||||
\(682\) | −4.51090e9 | − | 3.13740e10i | −0.544526 | − | 3.78726i | ||||
\(683\) | −8.26360e9 | − | 9.53670e9i | −0.992422 | − | 1.14532i | −0.989385 | − | 0.145321i | \(-0.953578\pi\) |
−0.00303788 | − | 0.999995i | \(-0.500967\pi\) | |||||||
\(684\) | −5.59247e8 | − | 1.22458e9i | −0.0668201 | − | 0.146316i | ||||
\(685\) | −2.42137e9 | + | 7.10980e8i | −0.287836 | + | 0.0845162i | ||||
\(686\) | 4.16057e9 | − | 9.11039e9i | 0.492061 | − | 1.07746i | ||||
\(687\) | 7.78232e8 | − | 5.41273e9i | 0.0915716 | − | 0.636894i | ||||
\(688\) | −2.90275e10 | + | 1.86548e10i | −3.39821 | + | 2.18389i | ||||
\(689\) | 9.09289e9 | 1.05909 | ||||||||
\(690\) | 1.07884e9 | + | 3.19354e9i | 0.125022 | + | 0.370084i | ||||
\(691\) | 3.11398e9 | 0.359040 | 0.179520 | − | 0.983754i | \(-0.442545\pi\) | ||||
0.179520 | + | 0.983754i | \(0.442545\pi\) | |||||||
\(692\) | 2.59178e10 | − | 1.66564e10i | 2.97322 | − | 1.91077i | ||||
\(693\) | −6.54001e8 | + | 4.54867e9i | −0.0746469 | + | 0.519181i | ||||
\(694\) | 8.77016e9 | − | 1.92040e10i | 0.995978 | − | 2.18089i | ||||
\(695\) | 4.17546e8 | − | 1.22603e8i | 0.0471800 | − | 0.0138533i | ||||
\(696\) | −2.84374e8 | − | 6.22693e8i | −0.0319711 | − | 0.0700070i | ||||
\(697\) | 4.55770e9 | + | 5.25986e9i | 0.509836 | + | 0.588382i | ||||
\(698\) | −2.95903e9 | − | 2.05805e10i | −0.329349 | − | 2.29067i | ||||
\(699\) | −2.23152e9 | − | 6.55232e8i | −0.247132 | − | 0.0725646i | ||||
\(700\) | −2.10578e10 | + | 2.43020e10i | −2.32043 | + | 2.67792i | ||||
\(701\) | −3.60570e9 | − | 2.31725e9i | −0.395346 | − | 0.254073i | 0.327831 | − | 0.944736i | \(-0.393682\pi\) |
−0.723177 | + | 0.690663i | \(0.757319\pi\) | |||||||
\(702\) | 4.83388e9 | + | 3.10654e9i | 0.527370 | + | 0.338920i | ||||
\(703\) | −4.97168e8 | + | 5.73762e8i | −0.0539709 | + | 0.0622857i | ||||
\(704\) | 2.35777e10 | + | 6.92303e9i | 2.54681 | + | 0.747811i | ||||
\(705\) | 6.35970e7 | + | 4.42327e8i | 0.00683557 | + | 0.0475425i | ||||
\(706\) | 1.07808e10 | + | 1.24417e10i | 1.15302 | + | 1.33065i | ||||
\(707\) | −5.00705e9 | − | 1.09639e10i | −0.532861 | − | 1.16680i | ||||
\(708\) | 2.17457e10 | − | 6.38512e9i | 2.30281 | − | 0.676165i | ||||
\(709\) | 6.99246e8 | − | 1.53114e9i | 0.0736832 | − | 0.161344i | −0.869206 | − | 0.494450i | \(-0.835370\pi\) |
0.942889 | + | 0.333106i | \(0.108097\pi\) | |||||||
\(710\) | −8.78706e8 | + | 6.11154e9i | −0.0921382 | + | 0.640835i | ||||
\(711\) | −2.07022e8 | + | 1.33045e8i | −0.0216010 | + | 0.0138821i | ||||
\(712\) | −1.97351e10 | −2.04908 | ||||||||
\(713\) | −4.65900e9 | + | 1.86015e10i | −0.481371 | + | 1.92192i | ||||
\(714\) | −1.83384e10 | −1.88546 | ||||||||
\(715\) | −5.08610e9 | + | 3.26864e9i | −0.520372 | + | 0.334423i | ||||
\(716\) | 3.35040e8 | − | 2.33025e9i | 0.0341115 | − | 0.237251i | ||||
\(717\) | −1.72147e9 | + | 3.76949e9i | −0.174414 | + | 0.381914i | ||||
\(718\) | 6.65591e9 | − | 1.95435e9i | 0.671076 | − | 0.197046i | ||||
\(719\) | −1.89516e9 | − | 4.14982e9i | −0.190149 | − | 0.416369i | 0.790414 | − | 0.612573i | \(-0.209866\pi\) |
−0.980563 | + | 0.196205i | \(0.937138\pi\) | |||||||
\(720\) | 2.51529e9 | + | 2.90280e9i | 0.251145 | + | 0.289836i | ||||
\(721\) | 3.25093e9 | + | 2.26107e10i | 0.323023 | + | 2.24668i | ||||
\(722\) | −1.78286e10 | − | 5.23495e9i | −1.76294 | − | 0.517645i | ||||
\(723\) | 4.85342e9 | − | 5.60115e9i | 0.477600 | − | 0.551179i | ||||
\(724\) | 1.51115e10 | + | 9.71159e9i | 1.47987 | + | 0.951054i | ||||
\(725\) | −3.26665e8 | − | 2.09935e8i | −0.0318360 | − | 0.0204598i | ||||
\(726\) | 2.29195e8 | − | 2.64505e8i | 0.0222294 | − | 0.0256541i | ||||
\(727\) | −2.23106e9 | − | 6.55097e8i | −0.215348 | − | 0.0632317i | 0.172279 | − | 0.985048i | \(-0.444887\pi\) |
−0.387627 | + | 0.921816i | \(0.626705\pi\) | |||||||
\(728\) | 1.20984e10 | + | 8.41462e10i | 1.16217 | + | 8.08304i | ||||
\(729\) | −2.53706e8 | − | 2.92793e8i | −0.0242541 | − | 0.0279907i | ||||
\(730\) | 3.33553e9 | + | 7.30378e9i | 0.317347 | + | 0.694893i | ||||
\(731\) | −1.40214e10 | + | 4.11705e9i | −1.32764 | + | 0.389830i | ||||
\(732\) | −8.37514e8 | + | 1.83390e9i | −0.0789230 | + | 0.172817i | ||||
\(733\) | 1.05930e8 | − | 7.36761e8i | 0.00993472 | − | 0.0690975i | −0.984251 | − | 0.176777i | \(-0.943433\pi\) |
0.994186 | + | 0.107679i | \(0.0343420\pi\) | |||||||
\(734\) | 1.73222e10 | − | 1.11323e10i | 1.61684 | − | 1.03908i | ||||
\(735\) | −3.09927e9 | −0.287908 | ||||||||
\(736\) | −2.59901e10 | − | 2.07526e10i | −2.40290 | − | 1.91867i | ||||
\(737\) | 8.46111e9 | 0.778558 | ||||||||
\(738\) | −4.09261e9 | + | 2.63016e9i | −0.374803 | + | 0.240872i | ||||
\(739\) | −1.08578e8 | + | 7.55175e8i | −0.00989659 | + | 0.0688323i | −0.994171 | − | 0.107813i | \(-0.965615\pi\) |
0.984275 | + | 0.176645i | \(0.0565244\pi\) | |||||||
\(740\) | 1.90627e9 | − | 4.17416e9i | 0.172932 | − | 0.378667i | ||||
\(741\) | −1.93707e9 | + | 5.68774e8i | −0.174896 | + | 0.0513542i | ||||
\(742\) | −8.42663e9 | − | 1.84518e10i | −0.757252 | − | 1.65815i | ||||
\(743\) | 4.52457e9 | + | 5.22163e9i | 0.404684 | + | 0.467031i | 0.921111 | − | 0.389301i | \(-0.127283\pi\) |
−0.516426 | + | 0.856332i | \(0.672738\pi\) | |||||||
\(744\) | 5.62636e9 | + | 3.91322e10i | 0.500867 | + | 3.48361i | ||||
\(745\) | 5.44238e9 | + | 1.59803e9i | 0.482216 | + | 0.141592i | ||||
\(746\) | 2.30807e10 | − | 2.66366e10i | 2.03547 | − | 2.34905i | ||||
\(747\) | −1.63319e8 | − | 1.04958e8i | −0.0143355 | − | 0.00921288i | ||||
\(748\) | 2.83527e10 | + | 1.82212e10i | 2.47707 | + | 1.59192i | ||||
\(749\) | 1.80211e10 | − | 2.07974e10i | 1.56709 | − | 1.80852i | ||||
\(750\) | 8.11274e9 | + | 2.38211e9i | 0.702187 | + | 0.206181i | ||||
\(751\) | 1.07882e9 | + | 7.50338e9i | 0.0929416 | + | 0.646423i | 0.982035 | + | 0.188698i | \(0.0604267\pi\) |
−0.889094 | + | 0.457726i | \(0.848664\pi\) | |||||||
\(752\) | −5.77644e9 | − | 6.66636e9i | −0.495333 | − | 0.571645i | ||||
\(753\) | 5.55297e9 | + | 1.21593e10i | 0.473961 | + | 1.03783i | ||||
\(754\) | −1.59390e9 | + | 4.68012e8i | −0.135414 | + | 0.0397610i | ||||
\(755\) | −6.55127e8 | + | 1.43453e9i | −0.0554002 | + | 0.121309i | ||||
\(756\) | 1.32000e9 | − | 9.18077e9i | 0.111108 | − | 0.772775i | ||||
\(757\) | 1.18331e10 | − | 7.60469e9i | 0.991434 | − | 0.637156i | 0.0589100 | − | 0.998263i | \(-0.481238\pi\) |
0.932524 | + | 0.361107i | \(0.117601\pi\) | |||||||
\(758\) | 2.18610e10 | 1.82317 | ||||||||
\(759\) | −6.30033e9 | + | 3.18913e9i | −0.523018 | + | 0.264744i | ||||
\(760\) | −2.44169e9 | −0.201764 | ||||||||
\(761\) | −6.26517e9 | + | 4.02638e9i | −0.515331 | + | 0.331183i | −0.772323 | − | 0.635230i | \(-0.780905\pi\) |
0.256992 | + | 0.966414i | \(0.417269\pi\) | |||||||
\(762\) | −6.01818e8 | + | 4.18574e9i | −0.0492745 | + | 0.342712i | ||||
\(763\) | 6.38751e9 | − | 1.39867e10i | 0.520590 | − | 1.13993i | ||||
\(764\) | −4.40874e10 | + | 1.29452e10i | −3.57674 | + | 1.05023i | ||||
\(765\) | 6.75752e8 | + | 1.47969e9i | 0.0545723 | + | 0.119497i | ||||
\(766\) | −1.94529e10 | − | 2.24499e10i | −1.56381 | − | 1.80473i | ||||
\(767\) | −4.83686e9 | − | 3.36411e10i | −0.387062 | − | 2.69207i | ||||
\(768\) | −6.91611e9 | − | 2.03075e9i | −0.550931 | − | 0.161768i | ||||
\(769\) | 3.41063e9 | − | 3.93608e9i | 0.270453 | − | 0.312120i | −0.604234 | − | 0.796807i | \(-0.706521\pi\) |
0.874688 | + | 0.484687i | \(0.161066\pi\) | |||||||
\(770\) | 1.13463e10 | + | 7.29184e9i | 0.895648 | + | 0.575598i | ||||
\(771\) | 2.72815e9 | + | 1.75327e9i | 0.214377 | + | 0.137772i | ||||
\(772\) | 2.76591e10 | − | 3.19203e10i | 2.16360 | − | 2.49693i | ||||
\(773\) | −1.88810e10 | − | 5.54395e9i | −1.47027 | − | 0.431709i | −0.554080 | − | 0.832463i | \(-0.686930\pi\) |
−0.916186 | + | 0.400754i | \(0.868748\pi\) | |||||||
\(774\) | −1.45371e9 | − | 1.01107e10i | −0.112689 | − | 0.783772i | ||||
\(775\) | 1.46857e10 | + | 1.69482e10i | 1.13328 | + | 1.30788i | ||||
\(776\) | −9.22549e9 | − | 2.02010e10i | −0.708718 | − | 1.55188i | ||||
\(777\) | −5.01876e9 | + | 1.47364e9i | −0.383816 | + | 0.112699i | ||||
\(778\) | −1.42128e10 | + | 3.11217e10i | −1.08206 | + | 2.36938i | ||||
\(779\) | 2.43253e8 | − | 1.69186e9i | 0.0184365 | − | 0.128228i | ||||
\(780\) | 1.02655e10 | − | 6.59722e9i | 0.774548 | − | 0.497771i | ||||
\(781\) | −1.29345e10 | −0.971567 | ||||||||
\(782\) | −1.61749e10 | − | 2.30747e10i | −1.20953 | − | 1.72549i | ||||
\(783\) | 1.12004e8 | 0.00833812 | ||||||||
\(784\) | 5.14649e10 | − | 3.30745e10i | 3.81422 | − | 2.45125i | ||||
\(785\) | −1.10010e9 | + | 7.65137e9i | −0.0811687 | + | 0.564541i | ||||
\(786\) | 2.50164e9 | − | 5.47782e9i | 0.183758 | − | 0.402373i | ||||
\(787\) | −5.55361e9 | + | 1.63069e9i | −0.406128 | + | 0.119250i | −0.478415 | − | 0.878134i | \(-0.658789\pi\) |
0.0722866 | + | 0.997384i | \(0.476970\pi\) | |||||||
\(788\) | 1.04290e10 | + | 2.28363e10i | 0.759278 | + | 1.66259i | ||||
\(789\) | 5.75743e9 | + | 6.64442e9i | 0.417310 | + | 0.481601i | ||||
\(790\) | 1.02788e8 | + | 7.14903e8i | 0.00741730 | + | 0.0515884i | ||||
\(791\) | 1.11521e10 | + | 3.27454e9i | 0.801194 | + | 0.235252i | ||||
\(792\) | −9.53374e9 | + | 1.10025e10i | −0.681907 | + | 0.786962i | ||||
\(793\) | 2.54342e9 | + | 1.63456e9i | 0.181118 | + | 0.116398i | ||||
\(794\) | −1.57846e10 | − | 1.01441e10i | −1.11908 | − | 0.719189i | ||||
\(795\) | −1.17832e9 | + | 1.35986e9i | −0.0831725 | + | 0.0959862i | ||||
\(796\) | 5.70626e10 | + | 1.67551e10i | 4.01011 | + | 1.17747i | ||||
\(797\) | −2.57429e8 | − | 1.79046e9i | −0.0180116 | − | 0.125274i | 0.978832 | − | 0.204666i | \(-0.0656110\pi\) |
−0.996843 | + | 0.0793927i | \(0.974702\pi\) | |||||||
\(798\) | 2.94932e9 | + | 3.40370e9i | 0.205453 | + | 0.237105i | ||||
\(799\) | −1.55189e9 | − | 3.39816e9i | −0.107633 | − | 0.235684i | ||||
\(800\) | −3.73194e10 | + | 1.09580e10i | −2.57703 | + | 0.756684i | ||||
\(801\) | 1.34136e9 | − | 2.93718e9i | 0.0922217 | − | 0.201937i | ||||
\(802\) | 3.30045e9 | − | 2.29552e10i | 0.225925 | − | 1.57134i | ||||
\(803\) | −1.41503e10 | + | 9.09386e9i | −0.964411 | + | 0.619789i | ||||
\(804\) | −1.70774e10 | −1.15885 | ||||||||
\(805\) | −4.68367e9 | − | 6.68161e9i | −0.316447 | − | 0.451435i | ||||
\(806\) | 9.59377e10 | 6.45382 | ||||||||
\(807\) | −2.42991e9 | + | 1.56161e9i | −0.162755 | + | 0.104596i | ||||
\(808\) | 5.43421e9 | − | 3.77958e10i | 0.362407 | − | 2.52060i | ||||
\(809\) | −2.74965e8 | + | 6.02090e8i | −0.0182582 | + | 0.0399799i | −0.918541 | − | 0.395325i | \(-0.870632\pi\) |
0.900283 | + | 0.435305i | \(0.143359\pi\) | |||||||
\(810\) | −1.09100e9 | + | 3.20346e8i | −0.0721318 | + | 0.0211798i | ||||
\(811\) | −6.60009e8 | − | 1.44522e9i | −0.0434487 | − | 0.0951393i | 0.886663 | − | 0.462416i | \(-0.153017\pi\) |
−0.930112 | + | 0.367277i | \(0.880290\pi\) | |||||||
\(812\) | 1.75599e9 | + | 2.02652e9i | 0.115100 | + | 0.132833i | ||||
\(813\) | −1.99275e9 | − | 1.38599e10i | −0.130057 | − | 0.904569i | ||||
\(814\) | 1.27473e10 | + | 3.74295e9i | 0.828388 | + | 0.243237i | ||||
\(815\) | 5.13319e9 | − | 5.92402e9i | 0.332151 | − | 0.383323i | ||||
\(816\) | −2.70120e10 | − | 1.73596e10i | −1.74037 | − | 1.11847i | ||||
\(817\) | 3.01917e9 | + | 1.94030e9i | 0.193691 | + | 0.124478i | ||||
\(818\) | −2.13617e10 | + | 2.46527e10i | −1.36458 | + | 1.57481i | ||||
\(819\) | −1.33458e10 | − | 3.91869e9i | −0.848891 | − | 0.249257i | ||||
\(820\) | 1.47031e9 | + | 1.02262e10i | 0.0931235 | + | 0.647688i | ||||
\(821\) | 2.29041e9 | + | 2.64328e9i | 0.144448 | + | 0.166702i | 0.823363 | − | 0.567515i | \(-0.192095\pi\) |
−0.678915 | + | 0.734217i | \(0.737549\pi\) | |||||||
\(822\) | 6.12591e9 | + | 1.34139e10i | 0.384697 | + | 0.842370i | ||||
\(823\) | 2.72958e10 | − | 8.01477e9i | 1.70685 | − | 0.501177i | 0.724669 | − | 0.689097i | \(-0.241993\pi\) |
0.982184 | + | 0.187920i | \(0.0601745\pi\) | |||||||
\(824\) | −3.00626e10 | + | 6.58278e10i | −1.87189 | + | 4.09887i | ||||
\(825\) | −1.17525e9 | + | 8.17407e9i | −0.0728690 | + | 0.506815i | ||||
\(826\) | −6.37839e10 | + | 4.09914e10i | −3.93805 | + | 2.53083i | ||||
\(827\) | −1.11631e10 | −0.686300 | −0.343150 | − | 0.939281i | \(-0.611494\pi\) | ||||
−0.343150 | + | 0.939281i | \(0.611494\pi\) | |||||||
\(828\) | 1.27162e10 | − | 6.43675e9i | 0.778487 | − | 0.394058i | ||||
\(829\) | 1.14587e10 | 0.698545 | 0.349272 | − | 0.937021i | \(-0.386429\pi\) | ||||
0.349272 | + | 0.937021i | \(0.386429\pi\) | |||||||
\(830\) | −4.79331e8 | + | 3.08047e8i | −0.0290980 | + | 0.0187001i | ||||
\(831\) | 1.11287e9 | − | 7.74015e9i | 0.0672728 | − | 0.467892i | ||||
\(832\) | −3.08971e10 | + | 6.76552e10i | −1.85988 | + | 4.07258i | ||||
\(833\) | 2.48595e10 | − | 7.29942e9i | 1.49017 | − | 0.437553i | ||||
\(834\) | −1.05636e9 | − | 2.31311e9i | −0.0630568 | − | 0.138075i | ||||
\(835\) | −5.63918e9 | − | 6.50796e9i | −0.335207 | − | 0.386849i | ||||
\(836\) | −1.17796e9 | − | 8.19287e9i | −0.0697280 | − | 0.484969i | ||||
\(837\) | −6.20648e9 | − | 1.82239e9i | −0.365853 | − | 0.107424i | ||||
\(838\) | −1.07294e10 | + | 1.23823e10i | −0.629825 | + | 0.726857i | ||||
\(839\) | 7.27337e9 | + | 4.67431e9i | 0.425176 | + | 0.273244i | 0.735682 | − | 0.677327i | \(-0.236862\pi\) |
−0.310506 | + | 0.950572i | \(0.600498\pi\) | |||||||
\(840\) | −1.41520e10 | − | 9.09496e9i | −0.823837 | − | 0.529448i | ||||
\(841\) | 1.12751e10 | − | 1.30121e10i | 0.653631 | − | 0.754331i | ||||
\(842\) | 1.33668e10 | + | 3.92486e9i | 0.771678 | + | 0.226585i | ||||
\(843\) | −9.27340e8 | − | 6.44979e9i | −0.0533141 | − | 0.370808i | ||||
\(844\) | −7.56840e9 | − | 8.73440e9i | −0.433317 | − | 0.500074i | ||||
\(845\) | −5.01002e9 | − | 1.09704e10i | −0.285654 | − | 0.625496i | ||||
\(846\) | 2.50551e9 | − | 7.35686e8i | 0.142266 | − | 0.0417730i | ||||
\(847\) | −3.51944e8 | + | 7.70650e8i | −0.0199013 | + | 0.0435778i | ||||
\(848\) | 5.05464e9 | − | 3.51558e10i | 0.284646 | − | 1.97976i | ||||
\(849\) | −8.86308e9 | + | 5.69596e9i | −0.497059 | + | 0.319440i | ||||
\(850\) | −3.29545e10 | −1.84055 | ||||||||
\(851\) | −6.28092e9 | − | 5.01519e9i | −0.349357 | − | 0.278955i | ||||
\(852\) | 2.61063e10 | 1.44613 | ||||||||
\(853\) | −3.13328e9 | + | 2.01364e9i | −0.172853 | + | 0.111086i | −0.624207 | − | 0.781259i | \(-0.714578\pi\) |
0.451353 | + | 0.892345i | \(0.350941\pi\) | |||||||
\(854\) | 9.59869e8 | − | 6.67604e9i | 0.0527363 | − | 0.366789i | ||||
\(855\) | 1.65958e8 | − | 3.63398e8i | 0.00908067 | − | 0.0198839i | ||||
\(856\) | 8.36488e10 | − | 2.45615e10i | 4.55828 | − | 1.33843i | ||||
\(857\) | −3.74081e9 | − | 8.19124e9i | −0.203017 | − | 0.444546i | 0.780549 | − | 0.625095i | \(-0.214940\pi\) |
−0.983566 | + | 0.180549i | \(0.942213\pi\) | |||||||
\(858\) | 2.31353e10 | + | 2.66996e10i | 1.25046 | + | 1.44311i | ||||
\(859\) | 2.37518e9 | + | 1.65198e10i | 0.127856 | + | 0.889258i | 0.948265 | + | 0.317481i | \(0.102837\pi\) |
−0.820409 | + | 0.571777i | \(0.806254\pi\) | |||||||
\(860\) | −2.08138e10 | − | 6.11149e9i | −1.11585 | − | 0.327644i | ||||
\(861\) | 7.71184e9 | − | 8.89994e9i | 0.411763 | − | 0.475200i | ||||
\(862\) | −5.55382e10 | − | 3.56923e10i | −2.95336 | − | 1.89801i | ||||
\(863\) | 1.74840e10 | + | 1.12363e10i | 0.925982 | + | 0.595093i | 0.914388 | − | 0.404840i | \(-0.132673\pi\) |
0.0115948 | + | 0.999933i | \(0.496309\pi\) | |||||||
\(864\) | 7.34684e9 | − | 8.47870e9i | 0.387527 | − | 0.447230i | ||||
\(865\) | 8.77220e9 | + | 2.57575e9i | 0.460842 | + | 0.135316i | ||||
\(866\) | 1.32534e9 | + | 9.21797e9i | 0.0693451 | + | 0.482306i | ||||
\(867\) | −1.64993e9 | − | 1.90413e9i | −0.0859805 | − | 0.0992267i | ||||
\(868\) | −6.43317e10 | − | 1.40867e11i | −3.33892 | − | 7.31122i | ||||
\(869\) | −1.45174e9 | + | 4.26270e8i | −0.0750448 | + | 0.0220351i | ||||
\(870\) | 1.36558e8 | − | 2.99020e8i | 0.00703071 | − | 0.0153951i | ||||
\(871\) | −3.64463e9 | + | 2.53490e10i | −0.186892 | + | 1.29986i | ||||
\(872\) | 4.09791e10 | − | 2.63357e10i | 2.09293 | − | 1.34505i | ||||
\(873\) | 3.63357e9 | 0.184835 | ||||||||
\(874\) | −1.68142e9 | + | 6.71320e9i | −0.0851893 | + | 0.340126i | ||||
\(875\) | −2.04673e10 | −1.03284 | ||||||||
\(876\) | 2.85602e10 | − | 1.83545e10i | 1.43548 | − | 0.922526i | ||||
\(877\) | −2.18788e9 | + | 1.52171e10i | −0.109528 | + | 0.761785i | 0.858837 | + | 0.512249i | \(0.171187\pi\) |
−0.968365 | + | 0.249537i | \(0.919722\pi\) | |||||||
\(878\) | 3.58986e9 | − | 7.86071e9i | 0.178998 | − | 0.391950i | ||||
\(879\) | 6.62473e8 | − | 1.94520e8i | 0.0329009 | − | 0.00966057i | ||||
\(880\) | 9.81022e9 | + | 2.14814e10i | 0.485276 | + | 1.06261i | ||||
\(881\) | −1.94956e9 | − | 2.24991e9i | −0.0960553 | − | 0.110854i | 0.705687 | − | 0.708524i | \(-0.250639\pi\) |
−0.801742 | + | 0.597670i | \(0.796093\pi\) | |||||||
\(882\) | 2.57738e9 | + | 1.79261e10i | 0.126485 | + | 0.879722i | ||||
\(883\) | 2.80017e10 | + | 8.22205e9i | 1.36875 | + | 0.401900i | 0.881837 | − | 0.471553i | \(-0.156307\pi\) |
0.486908 | + | 0.873453i | \(0.338125\pi\) | |||||||
\(884\) | −6.68024e10 | + | 7.70941e10i | −3.25244 | + | 3.75352i | ||||
\(885\) | 5.65789e9 | + | 3.63611e9i | 0.274381 | + | 0.176334i | ||||
\(886\) | 1.89740e10 | + | 1.21938e10i | 0.916517 | + | 0.589010i | ||||
\(887\) | −1.54831e10 | + | 1.78684e10i | −0.744946 | + | 0.859714i | −0.994068 | − | 0.108758i | \(-0.965313\pi\) |
0.249122 | + | 0.968472i | \(0.419858\pi\) | |||||||
\(888\) | −1.58995e10 | − | 4.66851e9i | −0.761969 | − | 0.223734i | ||||
\(889\) | −1.45680e9 | − | 1.01323e10i | −0.0695415 | − | 0.483672i | ||||
\(890\) | −6.20603e9 | − | 7.16214e9i | −0.295086 | − | 0.340547i | ||||
\(891\) | −9.89515e8 | − | 2.16674e9i | −0.0468652 | − | 0.102620i | ||||
\(892\) | −3.75226e10 | + | 1.10176e10i | −1.77017 | + | 0.519770i | ||||
\(893\) | −3.81129e8 | + | 8.34556e8i | −0.0179098 | + | 0.0392171i | ||||
\(894\) | 4.71700e9 | − | 3.28074e10i | 0.220793 | − | 1.53565i | ||||
\(895\) | 5.87718e8 | − | 3.77703e8i | 0.0274024 | − | 0.0176104i | ||||
\(896\) | 6.33136e10 | 2.94048 | ||||||||
\(897\) | −6.84056e9 | − | 2.02491e10i | −0.316459 | − | 0.936769i | ||||
\(898\) | −5.86181e9 | −0.270125 | ||||||||
\(899\) | 1.57319e9 | − | 1.01103e9i | 0.0722143 | − | 0.0464093i | ||||
\(900\) | 2.37206e9 | − | 1.64980e10i | 0.108462 | − | 0.754369i | ||||
\(901\) | 6.24869e9 | − | 1.36827e10i | 0.284611 | − | 0.623212i | ||||
\(902\) | −2.86994e10 | + | 8.42692e9i | −1.30212 | + | 0.382336i | ||||
\(903\) | 1.02717e10 | + | 2.24920e10i | 0.464234 | + | 1.01653i | ||||
\(904\) | 2.41129e10 | + | 2.78277e10i | 1.08557 | + | 1.25282i | ||||
\(905\) | 7.58625e8 | + | 5.27635e9i | 0.0340218 | + | 0.236627i | ||||
\(906\) | 8.84206e9 | + | 2.59626e9i | 0.395007 | + | 0.115985i | ||||
\(907\) | −3.43363e8 | + | 3.96262e8i | −0.0152802 | + | 0.0176342i | −0.763338 | − | 0.645999i | \(-0.776441\pi\) |
0.748058 | + | 0.663633i | \(0.230986\pi\) | |||||||
\(908\) | −4.77065e10 | − | 3.06591e10i | −2.11484 | − | 1.35912i | ||||
\(909\) | 5.25581e9 | + | 3.37770e9i | 0.232095 | + | 0.149158i | ||||
\(910\) | −2.67333e10 | + | 3.08519e10i | −1.17600 | + | 1.35718i | ||||
\(911\) | −4.00234e10 | − | 1.17519e10i | −1.75388 | − | 0.514986i | −0.762613 | − | 0.646855i | \(-0.776084\pi\) |
−0.991267 | + | 0.131870i | \(0.957902\pi\) | |||||||
\(912\) | 1.12226e9 | + | 7.80546e9i | 0.0489903 | + | 0.340735i | ||||
\(913\) | −7.81655e8 | − | 9.02078e8i | −0.0339913 | − | 0.0392280i | ||||
\(914\) | 9.19681e9 | + | 2.01382e10i | 0.398405 | + | 0.872386i | ||||
\(915\) | −5.74047e8 | + | 1.68555e8i | −0.0247727 | + | 0.00727393i | ||||
\(916\) | −2.81899e10 | + | 6.17273e10i | −1.21188 | + | 2.65364i | ||||
\(917\) | −2.07457e9 | + | 1.44289e10i | −0.0888454 | + | 0.617933i | ||||
\(918\) | 7.99651e9 | − | 5.13905e9i | 0.341155 | − | 0.219247i | ||||
\(919\) | 2.35320e10 | 1.00012 | 0.500062 | − | 0.865990i | \(-0.333311\pi\) | ||||
0.500062 | + | 0.865990i | \(0.333311\pi\) | |||||||
\(920\) | −1.03848e9 | − | 2.58291e10i | −0.0439683 | − | 1.09358i | ||||
\(921\) | 4.56335e9 | 0.192475 | ||||||||
\(922\) | −6.08542e10 | + | 3.91086e10i | −2.55701 | + | 1.64329i | ||||
\(923\) | 5.57157e9 | − | 3.87511e10i | 0.233223 | − | 1.62210i | ||||
\(924\) | 2.36898e10 | − | 5.18735e10i | 0.987894 | − | 2.16319i | ||||
\(925\) | −9.01883e9 | + | 2.64817e9i | −0.374674 | + | 0.110014i | ||||
\(926\) | 3.02044e10 | + | 6.61385e10i | 1.25006 | + | 2.73726i | ||||
\(927\) | −7.75387e9 | − | 8.94845e9i | −0.319698 | − | 0.368951i | ||||
\(928\) | 4.61587e8 | + | 3.21041e9i | 0.0189599 | + | 0.131869i | ||||
\(929\) | 8.43291e9 | + | 2.47612e9i | 0.345082 | + | 0.101325i | 0.449681 | − | 0.893189i | \(-0.351538\pi\) |
−0.104599 | + | 0.994514i | \(0.533356\pi\) | |||||||
\(930\) | −1.24323e10 | + | 1.43477e10i | −0.506830 | + | 0.584913i | ||||
\(931\) | −5.35291e9 | − | 3.44011e9i | −0.217403 | − | 0.139717i | ||||
\(932\) | 2.42793e10 | + | 1.56034e10i | 0.982384 | + | 0.631340i | ||||
\(933\) | −2.52976e9 | + | 2.91950e9i | −0.101975 | + | 0.117686i | ||||
\(934\) | 7.06577e10 | + | 2.07470e10i | 2.83756 | + | 0.833184i | ||||
\(935\) | 1.42335e9 | + | 9.89965e9i | 0.0569472 | + | 0.396077i | ||||
\(936\) | −2.88562e10 | − | 3.33018e10i | −1.15020 | − | 1.32740i | ||||
\(937\) | −2.98407e9 | − | 6.53420e9i | −0.118501 | − | 0.259480i | 0.841082 | − | 0.540908i | \(-0.181919\pi\) |
−0.959582 | + | 0.281428i | \(0.909192\pi\) | |||||||
\(938\) | 5.48170e10 | − | 1.60957e10i | 2.16873 | − | 0.636797i | ||||
\(939\) | −1.29897e9 | + | 2.84436e9i | −0.0512001 | + | 0.112113i | ||||
\(940\) | 7.89203e8 | − | 5.48903e9i | 0.0309914 | − | 0.215550i | ||||
\(941\) | −4.16285e9 | + | 2.67530e9i | −0.162865 | + | 0.104667i | −0.619534 | − | 0.784970i | \(-0.712679\pi\) |
0.456670 | + | 0.889636i | \(0.349042\pi\) | |||||||
\(942\) | 4.51701e10 | 1.76065 | ||||||||
\(943\) | 1.80006e10 | + | 1.85365e9i | 0.699030 | + | 0.0719843i | ||||
\(944\) | −1.32755e11 | −5.13630 | ||||||||
\(945\) | 2.31550e9 | − | 1.48808e9i | 0.0892552 | − | 0.0573608i | ||||
\(946\) | 8.93788e9 | − | 6.21643e10i | 0.343254 | − | 2.38738i | ||||
\(947\) | 7.73389e9 | − | 1.69348e10i | 0.295919 | − | 0.647972i | −0.702019 | − | 0.712158i | \(-0.747718\pi\) |
0.997938 | + | 0.0641860i | \(0.0204451\pi\) | |||||||
\(948\) | 2.93011e9 | − | 8.60358e8i | 0.111700 | − | 0.0327982i | ||||
\(949\) | −2.11494e10 | − | 4.63107e10i | −0.803278 | − | 1.75893i | ||||
\(950\) | 5.30000e9 | + | 6.11652e9i | 0.200559 | + | 0.231458i | ||||
\(951\) | 2.82161e8 | + | 1.96247e9i | 0.0106381 | + | 0.0739898i | ||||
\(952\) | 1.34935e11 | + | 3.96205e10i | 5.06869 | + | 1.48830i | ||||
\(953\) | 2.59979e9 | − | 3.00032e9i | 0.0973002 | − | 0.112290i | −0.705011 | − | 0.709196i | \(-0.749058\pi\) |
0.802311 | + | 0.596906i | \(0.203603\pi\) | |||||||
\(954\) | 8.84527e9 | + | 5.68451e9i | 0.329831 | + | 0.211970i | ||||
\(955\) | −1.14708e10 | − | 7.37186e9i | −0.426170 | − | 0.273883i | ||||
\(956\) | 3.36758e10 | − | 3.88640e10i | 1.24657 | − | 1.43861i | ||||
\(957\) | 6.60745e8 | + | 1.94012e8i | 0.0243692 | + | 0.00715545i | ||||
\(958\) | 1.08221e10 | + | 7.52695e10i | 0.397680 | + | 2.76592i | ||||
\(959\) | −2.33761e10 | − | 2.69775e10i | −0.855870 | − | 0.987726i | ||||
\(960\) | −6.11409e9 | − | 1.33880e10i | −0.223040 | − | 0.488389i | ||||
\(961\) | −7.72272e10 | + | 2.26759e10i | −2.80697 | + | 0.824202i | ||||
\(962\) | −1.67046e10 | + | 3.65779e10i | −0.604954 | + | 1.32467i | ||||
\(963\) | −2.02999e9 | + | 1.41189e10i | −0.0732490 | + | 0.509458i | ||||
\(964\) | −7.73710e10 | + | 4.97233e10i | −2.78169 | + | 1.78768i | ||||
\(965\) | 1.25338e10 | 0.448992 | ||||||||
\(966\) | −3.47512e10 | + | 3.26466e10i | −1.24037 | + | 1.16525i | ||||
\(967\) | 4.23219e10 | 1.50513 | 0.752563 | − | 0.658521i | \(-0.228818\pi\) | ||||
0.752563 | + | 0.658521i | \(0.228818\pi\) | |||||||
\(968\) | −2.25790e9 | + | 1.45106e9i | −0.0800094 | + | 0.0514189i | ||||
\(969\) | −4.75290e8 | + | 3.30571e9i | −0.0167813 | + | 0.116716i | ||||
\(970\) | 4.43012e9 | − | 9.70062e9i | 0.155853 | − | 0.341270i | ||||
\(971\) | 3.22905e10 | − | 9.48135e9i | 1.13190 | − | 0.332355i | 0.338445 | − | 0.940986i | \(-0.390099\pi\) |
0.793454 | + | 0.608631i | \(0.208281\pi\) | |||||||
\(972\) | 1.99718e9 | + | 4.37321e9i | 0.0697565 | + | 0.152746i | ||||
\(973\) | 4.03102e9 | + | 4.65205e9i | 0.140288 | + | 0.161901i | ||||
\(974\) | 3.61008e9 | + | 2.51086e10i | 0.125187 | + | 0.870696i | ||||
\(975\) | −2.39828e10 | − | 7.04197e9i | −0.828672 | − | 0.243320i | ||||
\(976\) | 7.73355e9 | − | 8.92500e9i | 0.266259 | − | 0.307280i | ||||
\(977\) | 2.70657e10 | + | 1.73940e10i | 0.928512 | + | 0.596719i | 0.915116 | − | 0.403192i | \(-0.132099\pi\) |
0.0133967 | + | 0.999910i | \(0.495736\pi\) | |||||||
\(978\) | −3.85331e10 | − | 2.47637e10i | −1.31719 | − | 0.846506i | ||||
\(979\) | 1.30008e10 | − | 1.50038e10i | 0.442825 | − | 0.511047i | ||||
\(980\) | 3.69023e10 | + | 1.08355e10i | 1.25246 | + | 0.367754i | ||||
\(981\) | 1.13426e9 | + | 7.88894e9i | 0.0383593 | + | 0.266795i | ||||
\(982\) | −6.93950e9 | − | 8.00861e9i | −0.233850 | − | 0.269878i | ||||
\(983\) | 2.35469e10 | + | 5.15605e10i | 0.790671 | + | 1.73133i | 0.674719 | + | 0.738074i | \(0.264265\pi\) |
0.115952 | + | 0.993255i | \(0.463008\pi\) | |||||||
\(984\) | 3.57962e10 | − | 1.05107e10i | 1.19772 | − | 0.351682i | ||||
\(985\) | −3.09484e9 | + | 6.77676e9i | −0.103184 | + | 0.225941i | ||||
\(986\) | −3.91089e8 | + | 2.72008e9i | −0.0129929 | + | 0.0903676i | ||||
\(987\) | −5.31762e9 | + | 3.41743e9i | −0.176038 | + | 0.113133i | ||||
\(988\) | 2.50527e10 | 0.826429 | ||||||||
\(989\) | −1.92412e10 | + | 3.27631e10i | −0.632476 | + | 1.07696i | ||||
\(990\) | −6.99102e9 | −0.228990 | ||||||||
\(991\) | 3.17761e10 | − | 2.04213e10i | 1.03715 | − | 0.666538i | 0.0928726 | − | 0.995678i | \(-0.470395\pi\) |
0.944281 | + | 0.329140i | \(0.106759\pi\) | |||||||
\(992\) | 2.66577e10 | − | 1.85408e11i | 0.867025 | − | 6.03029i | ||||
\(993\) | 3.86680e9 | − | 8.46710e9i | 0.125322 | − | 0.274418i | ||||
\(994\) | −8.37991e10 | + | 2.46056e10i | −2.70637 | + | 0.794661i | ||||
\(995\) | 7.33141e9 | + | 1.60536e10i | 0.235943 | + | 0.516643i | ||||
\(996\) | 1.57765e9 | + | 1.82070e9i | 0.0505944 | + | 0.0583890i | ||||
\(997\) | 3.65385e9 | + | 2.54131e10i | 0.116766 | + | 0.812127i | 0.961079 | + | 0.276275i | \(0.0891002\pi\) |
−0.844312 | + | 0.535851i | \(0.819991\pi\) | |||||||
\(998\) | 6.01091e10 | + | 1.76496e10i | 1.91418 | + | 0.562055i | ||||
\(999\) | 1.77548e9 | − | 2.04901e9i | 0.0563426 | − | 0.0650228i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 69.8.e.a.58.1 | yes | 140 | |
23.2 | even | 11 | inner | 69.8.e.a.25.1 | ✓ | 140 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
69.8.e.a.25.1 | ✓ | 140 | 23.2 | even | 11 | inner | |
69.8.e.a.58.1 | yes | 140 | 1.1 | even | 1 | trivial |