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 | 58.14 | ||
Character | \(\chi\) | \(=\) | 69.58 |
Dual form | 69.8.e.b.25.14 |
$q$-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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 18.4199 | − | 11.8377i | 1.62810 | − | 1.04632i | 0.677683 | − | 0.735354i | \(-0.262984\pi\) |
0.950421 | − | 0.310965i | \(-0.100652\pi\) | |||||||
\(3\) | 3.84250 | − | 26.7252i | 0.0821655 | − | 0.571474i | ||||
\(4\) | 145.987 | − | 319.667i | 1.14052 | − | 2.49740i | ||||
\(5\) | −458.339 | + | 134.580i | −1.63980 | + | 0.481490i | −0.966241 | − | 0.257641i | \(-0.917055\pi\) |
−0.673562 | + | 0.739130i | \(0.735237\pi\) | |||||||
\(6\) | −245.588 | − | 537.762i | −0.464170 | − | 1.01639i | ||||
\(7\) | −332.108 | − | 383.273i | −0.365962 | − | 0.422343i | 0.542666 | − | 0.839949i | \(-0.317415\pi\) |
−0.908629 | + | 0.417605i | \(0.862869\pi\) | |||||||
\(8\) | −696.213 | − | 4842.27i | −0.480759 | − | 3.34375i | ||||
\(9\) | −699.470 | − | 205.383i | −0.319831 | − | 0.0939109i | ||||
\(10\) | −6849.43 | + | 7904.66i | −2.16598 | + | 2.49967i | ||||
\(11\) | 5716.33 | + | 3673.66i | 1.29492 | + | 0.832194i | 0.992649 | − | 0.121028i | \(-0.0386190\pi\) |
0.302271 | + | 0.953222i | \(0.402255\pi\) | |||||||
\(12\) | −7982.21 | − | 5129.86i | −1.33349 | − | 0.856980i | ||||
\(13\) | −3752.87 | + | 4331.04i | −0.473764 | + | 0.546752i | −0.941455 | − | 0.337140i | \(-0.890541\pi\) |
0.467691 | + | 0.883892i | \(0.345086\pi\) | |||||||
\(14\) | −10654.5 | − | 3128.44i | −1.03773 | − | 0.304705i | ||||
\(15\) | 1835.52 | + | 12766.3i | 0.140423 | + | 0.976666i | ||||
\(16\) | −40688.5 | − | 46957.1i | −2.48343 | − | 2.86603i | ||||
\(17\) | −7809.70 | − | 17100.9i | −0.385534 | − | 0.844202i | −0.998534 | − | 0.0541196i | \(-0.982765\pi\) |
0.613000 | − | 0.790083i | \(-0.289962\pi\) | |||||||
\(18\) | −15315.4 | + | 4497.02i | −0.618979 | + | 0.181749i | ||||
\(19\) | 3579.81 | − | 7838.69i | 0.119735 | − | 0.262184i | −0.840269 | − | 0.542170i | \(-0.817603\pi\) |
0.960004 | + | 0.279987i | \(0.0903300\pi\) | |||||||
\(20\) | −23890.6 | + | 166163.i | −0.667764 | + | 4.64440i | ||||
\(21\) | −11519.2 | + | 7402.92i | −0.271427 | + | 0.174436i | ||||
\(22\) | 148782. | 2.97901 | ||||||||
\(23\) | −41553.8 | − | 40964.7i | −0.712137 | − | 0.702040i | ||||
\(24\) | −132086. | −1.95037 | ||||||||
\(25\) | 126240. | − | 81129.4i | 1.61587 | − | 1.03846i | ||||
\(26\) | −17857.7 | + | 124203.i | −0.199259 | + | 1.38588i | ||||
\(27\) | −8176.61 | + | 17904.3i | −0.0799467 | + | 0.175059i | ||||
\(28\) | −171004. | + | 50211.2i | −1.47215 | + | 0.432262i | ||||
\(29\) | −11959.4 | − | 26187.4i | −0.0910575 | − | 0.199388i | 0.858624 | − | 0.512607i | \(-0.171320\pi\) |
−0.949681 | + | 0.313218i | \(0.898593\pi\) | |||||||
\(30\) | 184935. | + | 213426.i | 1.25053 | + | 1.44319i | ||||
\(31\) | −40189.5 | − | 279524.i | −0.242296 | − | 1.68521i | −0.640539 | − | 0.767926i | \(-0.721289\pi\) |
0.398243 | − | 0.917280i | \(-0.369620\pi\) | |||||||
\(32\) | −704525. | − | 206867.i | −3.80077 | − | 1.11601i | ||||
\(33\) | 120144. | − | 138654.i | 0.581975 | − | 0.671635i | ||||
\(34\) | −346289. | − | 222547.i | −1.51100 | − | 0.971058i | ||||
\(35\) | 203799. | + | 130974.i | 0.803460 | + | 0.516353i | ||||
\(36\) | −167768. | + | 193615.i | −0.599308 | + | 0.691639i | ||||
\(37\) | 30544.4 | + | 8968.65i | 0.0991347 | + | 0.0291086i | 0.330924 | − | 0.943658i | \(-0.392640\pi\) |
−0.231789 | + | 0.972766i | \(0.574458\pi\) | |||||||
\(38\) | −26852.7 | − | 186765.i | −0.0793863 | − | 0.552144i | ||||
\(39\) | 101327. | + | 116938.i | 0.273528 | + | 0.315668i | ||||
\(40\) | 970776. | + | 2.12570e6i | 2.39833 | + | 5.25161i | ||||
\(41\) | 284918. | − | 83659.5i | 0.645619 | − | 0.189571i | 0.0575003 | − | 0.998345i | \(-0.481687\pi\) |
0.588119 | + | 0.808775i | \(0.299869\pi\) | |||||||
\(42\) | −124548. | + | 272722.i | −0.259397 | + | 0.568000i | ||||
\(43\) | 7110.80 | − | 49456.7i | 0.0136389 | − | 0.0948605i | −0.981865 | − | 0.189582i | \(-0.939287\pi\) |
0.995504 | + | 0.0947211i | \(0.0301959\pi\) | |||||||
\(44\) | 2.00886e6 | − | 1.29102e6i | 3.55521 | − | 2.28480i | ||||
\(45\) | 348235. | 0.569677 | ||||||||
\(46\) | −1.25035e6 | − | 262661.i | −1.89399 | − | 0.397872i | ||||
\(47\) | −871575. | −1.22451 | −0.612255 | − | 0.790661i | \(-0.709737\pi\) | ||||
−0.612255 | + | 0.790661i | \(0.709737\pi\) | |||||||
\(48\) | −1.41128e6 | + | 906976.i | −1.84191 | + | 1.18373i | ||||
\(49\) | 80599.8 | − | 560584.i | 0.0978696 | − | 0.680698i | ||||
\(50\) | 1.36493e6 | − | 2.98879e6i | 1.54425 | − | 3.38143i | ||||
\(51\) | −487032. | + | 143006.i | −0.514117 | + | 0.150958i | ||||
\(52\) | 836622. | + | 1.83195e6i | 0.825121 | + | 1.80676i | ||||
\(53\) | 1.14584e6 | + | 1.32237e6i | 1.05721 | + | 1.22008i | 0.974706 | + | 0.223490i | \(0.0717451\pi\) |
0.0825002 | + | 0.996591i | \(0.473709\pi\) | |||||||
\(54\) | 61334.1 | + | 426588.i | 0.0530058 | + | 0.368664i | ||||
\(55\) | −3.11442e6 | − | 914476.i | −2.52411 | − | 0.741145i | ||||
\(56\) | −1.62469e6 | + | 1.87500e6i | −1.23627 | + | 1.42673i | ||||
\(57\) | −195735. | − | 125791.i | −0.139993 | − | 0.0899680i | ||||
\(58\) | −530290. | − | 340797.i | −0.356875 | − | 0.229349i | ||||
\(59\) | −107881. | + | 124502.i | −0.0683855 | + | 0.0789210i | −0.788911 | − | 0.614507i | \(-0.789355\pi\) |
0.720526 | + | 0.693428i | \(0.243900\pi\) | |||||||
\(60\) | 4.34894e6 | + | 1.27696e6i | 2.59928 | + | 0.763219i | ||||
\(61\) | 192030. | + | 1.33560e6i | 0.108322 | + | 0.753393i | 0.969500 | + | 0.245090i | \(0.0788177\pi\) |
−0.861179 | + | 0.508302i | \(0.830273\pi\) | |||||||
\(62\) | −4.04922e6 | − | 4.67305e6i | −2.15775 | − | 2.49017i | ||||
\(63\) | 153582. | + | 336298.i | 0.0773835 | + | 0.169446i | ||||
\(64\) | −7.79525e6 | + | 2.28889e6i | −3.71706 | + | 1.09143i | ||||
\(65\) | 1.13721e6 | − | 2.49015e6i | 0.513623 | − | 1.12468i | ||||
\(66\) | 571695. | − | 3.97623e6i | 0.244772 | − | 1.70242i | ||||
\(67\) | 2.99575e6 | − | 1.92525e6i | 1.21687 | − | 0.782034i | 0.235073 | − | 0.971978i | \(-0.424467\pi\) |
0.981795 | + | 0.189944i | \(0.0608306\pi\) | |||||||
\(68\) | −6.60670e6 | −2.54802 | ||||||||
\(69\) | −1.25446e6 | + | 953127.i | −0.459711 | + | 0.349284i | ||||
\(70\) | 5.30440e6 | 1.84839 | ||||||||
\(71\) | 2.25290e6 | − | 1.44785e6i | 0.747028 | − | 0.480086i | −0.110915 | − | 0.993830i | \(-0.535378\pi\) |
0.857944 | + | 0.513744i | \(0.171742\pi\) | |||||||
\(72\) | −507539. | + | 3.53001e6i | −0.160253 | + | 1.11458i | ||||
\(73\) | −300642. | + | 658313.i | −0.0904522 | + | 0.198063i | −0.949451 | − | 0.313914i | \(-0.898359\pi\) |
0.858999 | + | 0.511977i | \(0.171087\pi\) | |||||||
\(74\) | 668794. | − | 196376.i | 0.191859 | − | 0.0563348i | ||||
\(75\) | −1.68312e6 | − | 3.68552e6i | −0.460681 | − | 1.00875i | ||||
\(76\) | −1.98317e6 | − | 2.28870e6i | −0.518217 | − | 0.598054i | ||||
\(77\) | −490424. | − | 3.41097e6i | −0.122420 | − | 0.851452i | ||||
\(78\) | 3.25073e6 | + | 954499.i | 0.775620 | + | 0.227743i | ||||
\(79\) | 691794. | − | 798373.i | 0.157864 | − | 0.182184i | −0.671308 | − | 0.741179i | \(-0.734267\pi\) |
0.829172 | + | 0.558994i | \(0.188813\pi\) | |||||||
\(80\) | 2.49686e7 | + | 1.60464e7i | 5.45230 | + | 3.50398i | ||||
\(81\) | 447077. | + | 287319.i | 0.0934726 | + | 0.0600712i | ||||
\(82\) | 4.25782e6 | − | 4.91379e6i | 0.852783 | − | 0.984165i | ||||
\(83\) | 7.04454e6 | + | 2.06846e6i | 1.35232 | + | 0.397077i | 0.876049 | − | 0.482222i | \(-0.160170\pi\) |
0.476270 | + | 0.879299i | \(0.341988\pi\) | |||||||
\(84\) | 684821. | + | 4.76304e6i | 0.126067 | + | 0.876812i | ||||
\(85\) | 5.88093e6 | + | 6.78695e6i | 1.03868 | + | 1.19869i | ||||
\(86\) | −454476. | − | 995163.i | −0.0770488 | − | 0.168713i | ||||
\(87\) | −745817. | + | 218992.i | −0.121427 | + | 0.0356541i | ||||
\(88\) | 1.38091e7 | − | 3.02377e7i | 2.16011 | − | 4.72997i | ||||
\(89\) | −339333. | + | 2.36011e6i | −0.0510224 | + | 0.354868i | 0.948277 | + | 0.317444i | \(0.102825\pi\) |
−0.999299 | + | 0.0374246i | \(0.988085\pi\) | |||||||
\(90\) | 6.41445e6 | − | 4.12232e6i | 0.927494 | − | 0.596064i | ||||
\(91\) | 2.90633e6 | 0.404297 | ||||||||
\(92\) | −1.91614e7 | + | 7.30309e6i | −2.56549 | + | 0.977799i | ||||
\(93\) | −7.62475e6 | −0.982959 | ||||||||
\(94\) | −1.60543e7 | + | 1.03175e7i | −1.99363 | + | 1.28123i | ||||
\(95\) | −585831. | + | 4.07455e6i | −0.0701036 | + | 0.487581i | ||||
\(96\) | −8.23570e6 | + | 1.80337e7i | −0.950061 | + | 2.08034i | ||||
\(97\) | −2.90476e6 | + | 852914.i | −0.323153 | + | 0.0948864i | −0.439286 | − | 0.898347i | \(-0.644768\pi\) |
0.116132 | + | 0.993234i | \(0.462950\pi\) | |||||||
\(98\) | −5.15141e6 | − | 1.12800e7i | −0.552885 | − | 1.21065i | ||||
\(99\) | −3.24390e6 | − | 3.74366e6i | −0.336003 | − | 0.387769i | ||||
\(100\) | −7.50502e6 | − | 5.21986e7i | −0.750502 | − | 5.21986i | ||||
\(101\) | 1.70764e7 | + | 5.01408e6i | 1.64919 | + | 0.484246i | 0.968643 | − | 0.248457i | \(-0.0799233\pi\) |
0.680549 | + | 0.732703i | \(0.261742\pi\) | |||||||
\(102\) | −7.27822e6 | + | 8.39951e6i | −0.679086 | + | 0.783706i | ||||
\(103\) | −1.62273e7 | − | 1.04287e7i | −1.46325 | − | 0.940371i | −0.998490 | − | 0.0549320i | \(-0.982506\pi\) |
−0.464756 | − | 0.885439i | \(-0.653858\pi\) | |||||||
\(104\) | 2.35849e7 | + | 1.51571e7i | 2.05597 | + | 1.32129i | ||||
\(105\) | 4.28340e6 | − | 4.94330e6i | 0.361099 | − | 0.416730i | ||||
\(106\) | 3.67603e7 | + | 1.07938e7i | 2.99784 | + | 0.880244i | ||||
\(107\) | −2.81127e6 | − | 1.95528e7i | −0.221850 | − | 1.54300i | −0.731034 | − | 0.682341i | \(-0.760962\pi\) |
0.509185 | − | 0.860657i | \(-0.329947\pi\) | |||||||
\(108\) | 4.52974e6 | + | 5.22759e6i | 0.346011 | + | 0.399318i | ||||
\(109\) | −417628. | − | 914477.i | −0.0308885 | − | 0.0676363i | 0.893559 | − | 0.448946i | \(-0.148200\pi\) |
−0.924447 | + | 0.381310i | \(0.875473\pi\) | |||||||
\(110\) | −6.81926e7 | + | 2.00232e7i | −4.88498 | + | 1.43436i | ||||
\(111\) | 357056. | − | 781843.i | 0.0247802 | − | 0.0542612i | ||||
\(112\) | −4.48440e6 | + | 3.11897e7i | −0.301607 | + | 2.09772i | ||||
\(113\) | −692529. | + | 445061.i | −0.0451506 | + | 0.0290165i | −0.563021 | − | 0.826442i | \(-0.690361\pi\) |
0.517871 | + | 0.855459i | \(0.326725\pi\) | |||||||
\(114\) | −5.09450e6 | −0.322058 | ||||||||
\(115\) | 2.45588e7 | + | 1.31834e7i | 1.50579 | + | 0.808321i | ||||
\(116\) | −1.01172e7 | −0.601805 | ||||||||
\(117\) | 3.51454e6 | − | 2.25866e6i | 0.202870 | − | 0.130377i | ||||
\(118\) | −513343. | + | 3.57038e6i | −0.0287621 | + | 0.200045i | ||||
\(119\) | −3.96064e6 | + | 8.67258e6i | −0.215452 | + | 0.471774i | ||||
\(120\) | 6.05400e7 | − | 1.77762e7i | 3.19822 | − | 0.939082i | ||||
\(121\) | 1.10854e7 | + | 2.42736e7i | 0.568855 | + | 1.24562i | ||||
\(122\) | 1.93477e7 | + | 2.23284e7i | 0.964648 | + | 1.11326i | ||||
\(123\) | −1.14102e6 | − | 7.93594e6i | −0.0552871 | − | 0.384530i | ||||
\(124\) | −9.52218e7 | − | 2.79596e7i | −4.48498 | − | 1.31691i | ||||
\(125\) | −2.25031e7 | + | 2.59700e7i | −1.03052 | + | 1.18929i | ||||
\(126\) | 6.80997e6 | + | 4.37650e6i | 0.303283 | + | 0.194908i | ||||
\(127\) | −1.24639e7 | − | 8.01006e6i | −0.539934 | − | 0.346995i | 0.242079 | − | 0.970257i | \(-0.422171\pi\) |
−0.782013 | + | 0.623262i | \(0.785807\pi\) | |||||||
\(128\) | −5.49443e7 | + | 6.34091e7i | −2.31573 | + | 2.67250i | ||||
\(129\) | −1.29442e6 | − | 380075.i | −0.0530896 | − | 0.0155885i | ||||
\(130\) | −8.53041e6 | − | 5.93303e7i | −0.340540 | − | 2.36851i | ||||
\(131\) | 2.27716e7 | + | 2.62798e7i | 0.885001 | + | 1.02135i | 0.999610 | + | 0.0279347i | \(0.00889306\pi\) |
−0.114609 | + | 0.993411i | \(0.536561\pi\) | |||||||
\(132\) | −2.67836e7 | − | 5.86479e7i | −1.01358 | − | 2.21944i | ||||
\(133\) | −4.19324e6 | + | 1.23125e6i | −0.154550 | + | 0.0453800i | ||||
\(134\) | 3.23907e7 | − | 7.09258e7i | 1.16293 | − | 2.54646i | ||||
\(135\) | 1.33809e6 | − | 9.30664e6i | 0.0468078 | − | 0.325555i | ||||
\(136\) | −7.73697e7 | + | 4.97225e7i | −2.63745 | + | 1.69499i | ||||
\(137\) | 3.52485e7 | 1.17117 | 0.585583 | − | 0.810612i | \(-0.300865\pi\) | ||||
0.585583 | + | 0.810612i | \(0.300865\pi\) | |||||||
\(138\) | −1.18241e7 | + | 3.24065e7i | −0.382994 | + | 1.04968i | ||||
\(139\) | −5.04086e7 | −1.59204 | −0.796018 | − | 0.605273i | \(-0.793064\pi\) | ||||
−0.796018 | + | 0.605273i | \(0.793064\pi\) | |||||||
\(140\) | 7.16201e7 | − | 4.60275e7i | 2.20591 | − | 1.41765i | ||||
\(141\) | −3.34903e6 | + | 2.32930e7i | −0.100612 | + | 0.699775i | ||||
\(142\) | 2.43589e7 | − | 5.33384e7i | 0.713917 | − | 1.56326i | ||||
\(143\) | −3.73634e7 | + | 1.09709e7i | −1.06849 | + | 0.313737i | ||||
\(144\) | 1.88162e7 | + | 4.12018e7i | 0.525127 | + | 1.14987i | ||||
\(145\) | 9.00576e6 | + | 1.03932e7i | 0.245320 | + | 0.283114i | ||||
\(146\) | 2.25516e6 | + | 1.56850e7i | 0.0599711 | + | 0.417108i | ||||
\(147\) | −1.46720e7 | − | 4.30809e6i | −0.380959 | − | 0.111860i | ||||
\(148\) | 7.32608e6 | − | 8.45475e6i | 0.185761 | − | 0.214380i | ||||
\(149\) | −4.60474e6 | − | 2.95929e6i | −0.114039 | − | 0.0732884i | 0.482378 | − | 0.875963i | \(-0.339773\pi\) |
−0.596417 | + | 0.802675i | \(0.703410\pi\) | |||||||
\(150\) | −7.46312e7 | − | 4.79625e7i | −1.80551 | − | 1.16033i | ||||
\(151\) | −9.00241e6 | + | 1.03893e7i | −0.212784 | + | 0.245566i | −0.852101 | − | 0.523377i | \(-0.824672\pi\) |
0.639317 | + | 0.768943i | \(0.279217\pi\) | |||||||
\(152\) | −4.04493e7 | − | 1.18770e7i | −0.934241 | − | 0.274318i | ||||
\(153\) | 1.95043e6 | + | 1.35655e7i | 0.0440261 | + | 0.306208i | ||||
\(154\) | −4.94118e7 | − | 5.70242e7i | −1.09020 | − | 1.25816i | ||||
\(155\) | 5.60388e7 | + | 1.22708e8i | 1.20873 | + | 2.64674i | ||||
\(156\) | 5.21738e7 | − | 1.53196e7i | 1.10031 | − | 0.323081i | ||||
\(157\) | −2.23947e7 | + | 4.90376e7i | −0.461845 | + | 1.01130i | 0.525218 | + | 0.850968i | \(0.323984\pi\) |
−0.987063 | + | 0.160332i | \(0.948743\pi\) | |||||||
\(158\) | 3.29184e6 | − | 2.28952e7i | 0.0663955 | − | 0.461791i | ||||
\(159\) | 3.97436e7 | − | 2.55417e7i | 0.784110 | − | 0.503917i | ||||
\(160\) | 3.50752e8 | 6.76986 | ||||||||
\(161\) | −1.90029e6 | + | 2.95312e7i | −0.0358863 | + | 0.557687i | ||||
\(162\) | 1.16363e7 | 0.215037 | ||||||||
\(163\) | −5.04146e7 | + | 3.23995e7i | −0.911801 | + | 0.585979i | −0.910268 | − | 0.414020i | \(-0.864124\pi\) |
−0.00153311 | + | 0.999999i | \(0.500488\pi\) | |||||||
\(164\) | 1.48512e7 | − | 1.03292e8i | 0.262910 | − | 1.82858i | ||||
\(165\) | −3.64067e7 | + | 7.97195e7i | −0.630939 | + | 1.38156i | ||||
\(166\) | 1.54246e8 | − | 4.52906e7i | 2.61719 | − | 0.768475i | ||||
\(167\) | 4.29141e6 | + | 9.39687e6i | 0.0713004 | + | 0.156126i | 0.941926 | − | 0.335819i | \(-0.109013\pi\) |
−0.870626 | + | 0.491945i | \(0.836286\pi\) | |||||||
\(168\) | 4.38667e7 | + | 5.06249e7i | 0.713761 | + | 0.823724i | ||||
\(169\) | 4.25615e6 | + | 2.96022e7i | 0.0678287 | + | 0.471759i | ||||
\(170\) | 1.88668e8 | + | 5.53980e7i | 2.94529 | + | 0.864815i | ||||
\(171\) | −4.11390e6 | + | 4.74770e6i | −0.0629169 | + | 0.0726100i | ||||
\(172\) | −1.47716e7 | − | 9.49313e6i | −0.221349 | − | 0.142253i | ||||
\(173\) | −5.49944e6 | − | 3.53428e6i | −0.0807528 | − | 0.0518966i | 0.499641 | − | 0.866232i | \(-0.333465\pi\) |
−0.580394 | + | 0.814336i | \(0.697101\pi\) | |||||||
\(174\) | −1.11455e7 | + | 1.28626e7i | −0.160390 | + | 0.185100i | ||||
\(175\) | −7.30200e7 | − | 2.14406e7i | −1.02993 | − | 0.302415i | ||||
\(176\) | −6.00847e7 | − | 4.17898e8i | −0.830748 | − | 5.77798i | ||||
\(177\) | 2.91279e6 | + | 3.36154e6i | 0.0394824 | + | 0.0455651i | ||||
\(178\) | 2.16879e7 | + | 4.74899e7i | 0.288236 | + | 0.631149i | ||||
\(179\) | −2.07827e7 | + | 6.10236e6i | −0.270843 | + | 0.0795266i | −0.414334 | − | 0.910125i | \(-0.635985\pi\) |
0.143491 | + | 0.989652i | \(0.454167\pi\) | |||||||
\(180\) | 5.08379e7 | − | 1.11319e8i | 0.649731 | − | 1.42271i | ||||
\(181\) | 2.70583e6 | − | 1.88194e7i | 0.0339176 | − | 0.235902i | −0.965810 | − | 0.259252i | \(-0.916524\pi\) |
0.999727 | + | 0.0233498i | \(0.00743316\pi\) | |||||||
\(182\) | 5.35343e7 | − | 3.44044e7i | 0.658237 | − | 0.423023i | ||||
\(183\) | 3.64320e7 | 0.439444 | ||||||||
\(184\) | −1.69432e8 | + | 2.29735e8i | −2.00508 | + | 2.71872i | ||||
\(185\) | −1.52067e7 | −0.176577 | ||||||||
\(186\) | −1.40447e8 | + | 9.02599e7i | −1.60036 | + | 1.02849i | ||||
\(187\) | 1.81799e7 | − | 1.26444e8i | 0.203305 | − | 1.41401i | ||||
\(188\) | −1.27239e8 | + | 2.78614e8i | −1.39658 | + | 3.05809i | ||||
\(189\) | 9.57776e6 | − | 2.81228e6i | 0.103192 | − | 0.0303000i | ||||
\(190\) | 3.74425e7 | + | 8.19877e7i | 0.396029 | + | 0.867183i | ||||
\(191\) | 8.30349e6 | + | 9.58274e6i | 0.0862272 | + | 0.0995115i | 0.797224 | − | 0.603684i | \(-0.206301\pi\) |
−0.710996 | + | 0.703196i | \(0.751756\pi\) | |||||||
\(192\) | 3.12178e7 | + | 2.17124e8i | 0.318308 | + | 2.21388i | ||||
\(193\) | 1.19852e8 | + | 3.51916e7i | 1.20003 | + | 0.352361i | 0.819865 | − | 0.572556i | \(-0.194048\pi\) |
0.380167 | + | 0.924918i | \(0.375866\pi\) | |||||||
\(194\) | −4.34087e7 | + | 5.00964e7i | −0.426846 | + | 0.492607i | ||||
\(195\) | −6.21799e7 | − | 3.99606e7i | −0.600522 | − | 0.385932i | ||||
\(196\) | −1.67434e8 | − | 1.07603e8i | −1.58835 | − | 1.02077i | ||||
\(197\) | 6.59952e7 | − | 7.61625e7i | 0.615007 | − | 0.709756i | −0.359744 | − | 0.933051i | \(-0.617136\pi\) |
0.974751 | + | 0.223295i | \(0.0716813\pi\) | |||||||
\(198\) | −1.04069e8 | − | 3.05573e7i | −0.952778 | − | 0.279761i | ||||
\(199\) | −9.24947e6 | − | 6.43315e7i | −0.0832015 | − | 0.578679i | −0.988189 | − | 0.153241i | \(-0.951029\pi\) |
0.904987 | − | 0.425438i | \(-0.139880\pi\) | |||||||
\(200\) | −4.80740e8 | − | 5.54803e8i | −4.24918 | − | 4.90381i | ||||
\(201\) | −3.99415e7 | − | 8.74597e7i | −0.346927 | − | 0.759664i | ||||
\(202\) | 3.73901e8 | − | 1.09787e8i | 3.19173 | − | 0.937177i | ||||
\(203\) | −6.06512e6 | + | 1.32808e7i | −0.0508866 | + | 0.111426i | ||||
\(204\) | −2.53863e7 | + | 1.76565e8i | −0.209360 | + | 1.45613i | ||||
\(205\) | −1.19330e8 | + | 7.66888e7i | −0.967412 | + | 0.621718i | ||||
\(206\) | −4.22358e8 | −3.36624 | ||||||||
\(207\) | 2.06522e7 | + | 3.71880e7i | 0.161834 | + | 0.291412i | ||||
\(208\) | 3.56072e8 | 2.74357 | ||||||||
\(209\) | 4.92600e7 | − | 3.16575e7i | 0.373235 | − | 0.239864i | ||||
\(210\) | 2.03821e7 | − | 1.41761e8i | 0.151874 | − | 1.05630i | ||||
\(211\) | 4.55636e7 | − | 9.97704e7i | 0.333910 | − | 0.731161i | −0.665980 | − | 0.745969i | \(-0.731986\pi\) |
0.999890 | + | 0.0148082i | \(0.00471376\pi\) | |||||||
\(212\) | 5.89998e8 | − | 1.73239e8i | 4.25280 | − | 1.24874i | ||||
\(213\) | −3.00373e7 | − | 6.57724e7i | −0.212976 | − | 0.466353i | ||||
\(214\) | −2.83244e8 | − | 3.26881e8i | −1.97566 | − | 2.28004i | ||||
\(215\) | 3.39675e6 | + | 2.36249e7i | 0.0233093 | + | 0.162120i | ||||
\(216\) | 9.23900e7 | + | 2.71282e7i | 0.623788 | + | 0.183161i | ||||
\(217\) | −9.37868e7 | + | 1.08236e8i | −0.623064 | + | 0.719054i | ||||
\(218\) | −1.85180e7 | − | 1.19008e7i | −0.121059 | − | 0.0777998i | ||||
\(219\) | 1.64383e7 | + | 1.05643e7i | 0.105756 | + | 0.0679650i | ||||
\(220\) | −7.46994e8 | + | 8.62077e8i | −4.72974 | + | 5.45841i | ||||
\(221\) | 1.03373e8 | + | 3.03531e7i | 0.644222 | + | 0.189161i | ||||
\(222\) | −2.67833e6 | − | 1.86282e7i | −0.0164297 | − | 0.114271i | ||||
\(223\) | 9.84554e7 | + | 1.13624e8i | 0.594528 | + | 0.686122i | 0.970663 | − | 0.240443i | \(-0.0772926\pi\) |
−0.376135 | + | 0.926565i | \(0.622747\pi\) | |||||||
\(224\) | 1.54692e8 | + | 3.38728e8i | 0.919601 | + | 2.01365i | ||||
\(225\) | −1.04964e8 | + | 3.08201e7i | −0.614327 | + | 0.180383i | ||||
\(226\) | −7.48778e6 | + | 1.63960e7i | −0.0431493 | + | 0.0944838i | ||||
\(227\) | −2.44184e7 | + | 1.69834e8i | −0.138556 | + | 0.963682i | 0.795346 | + | 0.606155i | \(0.207289\pi\) |
−0.933903 | + | 0.357527i | \(0.883620\pi\) | |||||||
\(228\) | −6.87861e7 | + | 4.42062e7i | −0.384352 | + | 0.247008i | ||||
\(229\) | −7.13858e7 | −0.392815 | −0.196407 | − | 0.980522i | \(-0.562928\pi\) | ||||
−0.196407 | + | 0.980522i | \(0.562928\pi\) | |||||||
\(230\) | 6.08432e8 | − | 4.78846e7i | 3.29735 | − | 0.259507i | ||||
\(231\) | −9.30432e7 | −0.496641 | ||||||||
\(232\) | −1.18480e8 | + | 7.61425e7i | −0.622927 | + | 0.400331i | ||||
\(233\) | 4.71842e7 | − | 3.28173e8i | 0.244372 | − | 1.69964i | −0.385308 | − | 0.922788i | \(-0.625905\pi\) |
0.629680 | − | 0.776855i | \(-0.283186\pi\) | |||||||
\(234\) | 3.80001e7 | − | 8.32086e7i | 0.193878 | − | 0.424534i | ||||
\(235\) | 3.99477e8 | − | 1.17297e8i | 2.00795 | − | 0.589589i | ||||
\(236\) | 2.40498e7 | + | 5.26617e7i | 0.119102 | + | 0.260797i | ||||
\(237\) | −1.86784e7 | − | 2.15561e7i | −0.0911426 | − | 0.105184i | ||||
\(238\) | 2.97094e7 | + | 2.06633e8i | 0.142848 | + | 0.993529i | ||||
\(239\) | 7.37003e7 | + | 2.16404e7i | 0.349202 | + | 0.102535i | 0.451630 | − | 0.892206i | \(-0.350843\pi\) |
−0.102428 | + | 0.994740i | \(0.532661\pi\) | |||||||
\(240\) | 5.24784e8 | − | 6.05633e8i | 2.45042 | − | 2.82794i | ||||
\(241\) | −9.72664e7 | − | 6.25093e7i | −0.447614 | − | 0.287664i | 0.297350 | − | 0.954768i | \(-0.403897\pi\) |
−0.744964 | + | 0.667105i | \(0.767533\pi\) | |||||||
\(242\) | 4.91536e8 | + | 3.15891e8i | 2.22947 | + | 1.43279i | ||||
\(243\) | 9.39654e6 | − | 1.08442e7i | 0.0420093 | − | 0.0484814i | ||||
\(244\) | 4.54981e8 | + | 1.33595e8i | 2.00507 | + | 0.588741i | ||||
\(245\) | 3.85016e7 | + | 2.67785e8i | 0.167262 | + | 1.16333i | ||||
\(246\) | −1.14961e8 | − | 1.32672e8i | −0.492355 | − | 0.568208i | ||||
\(247\) | 2.05151e7 | + | 4.49219e7i | 0.0866233 | + | 0.189679i | ||||
\(248\) | −1.32555e9 | + | 3.89216e8i | −5.51842 | + | 1.62035i | ||||
\(249\) | 8.23487e7 | − | 1.80318e8i | 0.338033 | − | 0.740189i | ||||
\(250\) | −1.07079e8 | + | 7.44751e8i | −0.433426 | + | 3.01454i | ||||
\(251\) | 1.29360e7 | − | 8.31348e6i | 0.0516348 | − | 0.0331837i | −0.514569 | − | 0.857449i | \(-0.672048\pi\) |
0.566204 | + | 0.824265i | \(0.308412\pi\) | |||||||
\(252\) | 1.29924e8 | 0.511433 | ||||||||
\(253\) | −8.70452e7 | − | 3.86822e8i | −0.337927 | − | 1.50172i | ||||
\(254\) | −3.24405e8 | −1.24214 | ||||||||
\(255\) | 2.03980e8 | − | 1.31090e8i | 0.770366 | − | 0.495084i | ||||
\(256\) | −1.13452e8 | + | 7.89077e8i | −0.422642 | + | 2.93954i | ||||
\(257\) | 6.95235e7 | − | 1.52235e8i | 0.255485 | − | 0.559434i | −0.737814 | − | 0.675004i | \(-0.764142\pi\) |
0.993299 | + | 0.115569i | \(0.0368693\pi\) | |||||||
\(258\) | −2.83422e7 | + | 8.32203e6i | −0.102746 | + | 0.0301690i | ||||
\(259\) | −6.70661e6 | − | 1.46854e7i | −0.0239858 | − | 0.0525215i | ||||
\(260\) | −6.30001e8 | − | 7.27059e8i | −2.22297 | − | 2.56545i | ||||
\(261\) | 2.98679e6 | + | 2.07736e7i | 0.0103983 | + | 0.0723218i | ||||
\(262\) | 7.30544e8 | + | 2.14507e8i | 2.50953 | + | 0.736864i | ||||
\(263\) | −6.47073e6 | + | 7.46763e6i | −0.0219335 | + | 0.0253126i | −0.766610 | − | 0.642113i | \(-0.778058\pi\) |
0.744677 | + | 0.667425i | \(0.232604\pi\) | |||||||
\(264\) | −7.55045e8 | − | 4.85238e8i | −2.52557 | − | 1.62308i | ||||
\(265\) | −7.03150e8 | − | 4.51887e8i | −2.32107 | − | 1.49166i | ||||
\(266\) | −6.26639e7 | + | 7.23180e7i | −0.204142 | + | 0.235592i | ||||
\(267\) | 6.17705e7 | + | 1.81375e7i | 0.198606 | + | 0.0583159i | ||||
\(268\) | −1.78099e8 | − | 1.23871e9i | −0.565183 | − | 3.93094i | ||||
\(269\) | 7.27259e7 | + | 8.39301e7i | 0.227801 | + | 0.262897i | 0.858131 | − | 0.513431i | \(-0.171626\pi\) |
−0.630330 | + | 0.776328i | \(0.717080\pi\) | |||||||
\(270\) | −8.55222e7 | − | 1.87267e8i | −0.264427 | − | 0.579014i | ||||
\(271\) | 1.35740e8 | − | 3.98570e7i | 0.414302 | − | 0.121650i | −0.0679374 | − | 0.997690i | \(-0.521642\pi\) |
0.482239 | + | 0.876040i | \(0.339824\pi\) | |||||||
\(272\) | −4.85241e8 | + | 1.06253e9i | −1.46206 | + | 3.20147i | ||||
\(273\) | 1.11676e7 | − | 7.76722e7i | 0.0332193 | − | 0.231045i | ||||
\(274\) | 6.49274e8 | − | 4.17263e8i | 1.90678 | − | 1.22541i | ||||
\(275\) | 1.01967e9 | 2.95662 | ||||||||
\(276\) | 1.21549e8 | + | 5.40154e8i | 0.347992 | + | 1.54645i | ||||
\(277\) | −3.63452e8 | −1.02747 | −0.513734 | − | 0.857950i | \(-0.671738\pi\) | ||||
−0.513734 | + | 0.857950i | \(0.671738\pi\) | |||||||
\(278\) | −9.28521e8 | + | 5.96724e8i | −2.59200 | + | 1.66578i | ||||
\(279\) | −2.92981e7 | + | 2.03773e8i | −0.0807653 | + | 0.561735i | ||||
\(280\) | 4.92323e8 | − | 1.07804e9i | 1.34028 | − | 2.93481i | ||||
\(281\) | 3.49276e8 | − | 1.02557e8i | 0.939067 | − | 0.275735i | 0.223839 | − | 0.974626i | \(-0.428141\pi\) |
0.715228 | + | 0.698891i | \(0.246323\pi\) | |||||||
\(282\) | 2.14048e8 | + | 4.68699e8i | 0.568380 | + | 1.24458i | ||||
\(283\) | −1.25514e8 | − | 1.44851e8i | −0.329185 | − | 0.379900i | 0.566897 | − | 0.823789i | \(-0.308144\pi\) |
−0.896082 | + | 0.443889i | \(0.853598\pi\) | |||||||
\(284\) | −1.33936e8 | − | 9.31545e8i | −0.346963 | − | 2.41318i | ||||
\(285\) | 1.06642e8 | + | 3.13129e7i | 0.272880 | + | 0.0801247i | ||||
\(286\) | −5.58360e8 | + | 6.44382e8i | −1.41134 | + | 1.62878i | ||||
\(287\) | −1.26688e8 | − | 8.14175e7i | −0.316336 | − | 0.203297i | ||||
\(288\) | 4.50308e8 | + | 2.89395e8i | 1.11080 | + | 0.713867i | ||||
\(289\) | 3.72669e7 | − | 4.30083e7i | 0.0908198 | − | 0.104812i | ||||
\(290\) | 2.88917e8 | + | 8.48338e7i | 0.695634 | + | 0.204256i | ||||
\(291\) | 1.16327e7 | + | 8.09075e7i | 0.0276730 | + | 0.192470i | ||||
\(292\) | 1.66551e8 | + | 1.92211e8i | 0.391479 | + | 0.451791i | ||||
\(293\) | 3.41797e8 | + | 7.48432e8i | 0.793838 | + | 1.73826i | 0.665323 | + | 0.746556i | \(0.268294\pi\) |
0.128515 | + | 0.991708i | \(0.458979\pi\) | |||||||
\(294\) | −3.21255e8 | + | 9.43289e7i | −0.737283 | + | 0.216486i | ||||
\(295\) | 3.26907e7 | − | 7.15826e7i | 0.0741390 | − | 0.162342i | ||||
\(296\) | 2.21632e7 | − | 1.54148e8i | 0.0496720 | − | 0.345476i | ||||
\(297\) | −1.12515e8 | + | 7.23087e7i | −0.249207 | + | 0.160156i | ||||
\(298\) | −1.19850e8 | −0.262350 | ||||||||
\(299\) | 3.33366e8 | − | 2.62364e7i | 0.721227 | − | 0.0567617i | ||||
\(300\) | −1.42385e9 | −3.04468 | ||||||||
\(301\) | −2.13170e7 | + | 1.36996e7i | −0.0450550 | + | 0.0289551i | ||||
\(302\) | −4.28371e7 | + | 2.97939e8i | −0.0894944 | + | 0.622447i | ||||
\(303\) | 1.99618e8 | − | 4.37103e8i | 0.412241 | − | 0.902681i | ||||
\(304\) | −5.13739e8 | + | 1.50847e8i | −1.04878 | + | 0.307950i | ||||
\(305\) | −2.67760e8 | − | 5.86313e8i | −0.540377 | − | 1.18326i | ||||
\(306\) | 1.96512e8 | + | 2.26787e8i | 0.392070 | + | 0.452473i | ||||
\(307\) | −1.40340e8 | − | 9.76085e8i | −0.276819 | − | 1.92532i | −0.368694 | − | 0.929551i | \(-0.620195\pi\) |
0.0918746 | − | 0.995771i | \(-0.470714\pi\) | |||||||
\(308\) | −1.16197e9 | − | 3.41186e8i | −2.26604 | − | 0.665370i | ||||
\(309\) | −3.41062e8 | + | 3.93607e8i | −0.657626 | + | 0.758940i | ||||
\(310\) | 2.48482e9 | + | 1.59689e9i | 4.73727 | + | 3.04446i | ||||
\(311\) | −4.07399e7 | − | 2.61820e7i | −0.0767996 | − | 0.0493561i | 0.501678 | − | 0.865055i | \(-0.332716\pi\) |
−0.578477 | + | 0.815699i | \(0.696353\pi\) | |||||||
\(312\) | 4.95700e8 | − | 5.72069e8i | 0.924013 | − | 1.06637i | ||||
\(313\) | −6.96348e8 | − | 2.04466e8i | −1.28357 | − | 0.376891i | −0.432356 | − | 0.901703i | \(-0.642318\pi\) |
−0.851218 | + | 0.524811i | \(0.824136\pi\) | |||||||
\(314\) | 1.67986e8 | + | 1.16837e9i | 0.306210 | + | 2.12974i | ||||
\(315\) | −1.15652e8 | − | 1.33469e8i | −0.208480 | − | 0.240599i | ||||
\(316\) | −1.54221e8 | − | 3.37696e8i | −0.274940 | − | 0.602035i | ||||
\(317\) | −7.91421e8 | + | 2.32382e8i | −1.39541 | + | 0.409728i | −0.891104 | − | 0.453800i | \(-0.850068\pi\) |
−0.504301 | + | 0.863528i | \(0.668250\pi\) | |||||||
\(318\) | 4.29717e8 | − | 9.40949e8i | 0.749355 | − | 1.64086i | ||||
\(319\) | 2.78399e7 | − | 1.93631e8i | 0.0480175 | − | 0.333969i | ||||
\(320\) | 3.26482e9 | − | 2.09818e9i | 5.56974 | − | 3.57945i | ||||
\(321\) | −5.33354e8 | −0.900011 | ||||||||
\(322\) | 3.14580e8 | + | 5.66456e8i | 0.525092 | + | 0.945521i | ||||
\(323\) | −1.62005e8 | −0.267498 | ||||||||
\(324\) | 1.57114e8 | − | 1.00971e8i | 0.256630 | − | 0.164926i | ||||
\(325\) | −1.22387e8 | + | 8.51217e8i | −0.197762 | + | 1.37546i | ||||
\(326\) | −5.45095e8 | + | 1.19359e9i | −0.871386 | + | 1.90807i | ||||
\(327\) | −2.60443e7 | + | 7.64729e6i | −0.0411903 | + | 0.0120946i | ||||
\(328\) | −6.03465e8 | − | 1.32140e9i | −0.944265 | − | 2.06765i | ||||
\(329\) | 2.89457e8 | + | 3.34051e8i | 0.448124 | + | 0.517163i | ||||
\(330\) | 2.73092e8 | + | 1.89940e9i | 0.418322 | + | 2.90949i | ||||
\(331\) | −5.58393e8 | − | 1.63959e8i | −0.846334 | − | 0.248506i | −0.170315 | − | 0.985390i | \(-0.554478\pi\) |
−0.676020 | + | 0.736884i | \(0.736297\pi\) | |||||||
\(332\) | 1.68963e9 | − | 1.94994e9i | 2.53401 | − | 2.92441i | ||||
\(333\) | −1.95229e7 | − | 1.25466e7i | −0.0289727 | − | 0.0186197i | ||||
\(334\) | 1.90285e8 | + | 1.22289e8i | 0.279442 | + | 0.179587i | ||||
\(335\) | −1.11397e9 | + | 1.28559e9i | −1.61888 | + | 1.86829i | ||||
\(336\) | 8.16318e8 | + | 2.39693e8i | 1.17401 | + | 0.344720i | ||||
\(337\) | 9.80125e7 | + | 6.81692e8i | 0.139501 | + | 0.970250i | 0.932537 | + | 0.361075i | \(0.117590\pi\) |
−0.793036 | + | 0.609175i | \(0.791501\pi\) | |||||||
\(338\) | 4.28821e8 | + | 4.94886e8i | 0.604042 | + | 0.697102i | ||||
\(339\) | 9.23330e6 | + | 2.02181e7i | 0.0128723 | + | 0.0281865i | ||||
\(340\) | 3.02811e9 | − | 8.89133e8i | 4.17826 | − | 1.22685i | ||||
\(341\) | 7.97140e8 | − | 1.74549e9i | 1.08867 | − | 2.38384i | ||||
\(342\) | −1.95756e7 | + | 1.36151e8i | −0.0264621 | + | 0.184048i | ||||
\(343\) | −5.92978e8 | + | 3.81084e8i | −0.793431 | + | 0.509907i | ||||
\(344\) | −2.44433e8 | −0.323747 | ||||||||
\(345\) | 4.46695e8 | − | 6.05681e8i | 0.585658 | − | 0.794103i | ||||
\(346\) | −1.43137e8 | −0.185774 | ||||||||
\(347\) | 2.73309e8 | − | 1.75645e8i | 0.351156 | − | 0.225674i | −0.353157 | − | 0.935564i | \(-0.614892\pi\) |
0.704313 | + | 0.709890i | \(0.251255\pi\) | |||||||
\(348\) | −3.88752e7 | + | 2.70383e8i | −0.0494477 | + | 0.343916i | ||||
\(349\) | 3.89469e8 | − | 8.52819e8i | 0.490438 | − | 1.07391i | −0.489022 | − | 0.872271i | \(-0.662646\pi\) |
0.979460 | − | 0.201638i | \(-0.0646265\pi\) | |||||||
\(350\) | −1.59883e9 | + | 4.69459e8i | −1.99326 | + | 0.585274i | ||||
\(351\) | −4.68585e7 | − | 1.02606e8i | −0.0578380 | − | 0.126647i | ||||
\(352\) | −3.26734e9 | − | 3.77071e9i | −3.99296 | − | 4.60812i | ||||
\(353\) | −7.42831e7 | − | 5.16650e8i | −0.0898832 | − | 0.625151i | −0.984113 | − | 0.177543i | \(-0.943185\pi\) |
0.894230 | − | 0.447608i | \(-0.147724\pi\) | |||||||
\(354\) | 9.34464e7 | + | 2.74383e7i | 0.111957 | + | 0.0328735i | ||||
\(355\) | −8.37738e8 | + | 9.66801e8i | −0.993823 | + | 1.14693i | ||||
\(356\) | 7.04912e8 | + | 4.53020e8i | 0.828057 | + | 0.532160i | ||||
\(357\) | 2.16558e8 | + | 1.39173e8i | 0.251904 | + | 0.161889i | ||||
\(358\) | −3.10578e8 | + | 3.58426e8i | −0.357750 | + | 0.412865i | ||||
\(359\) | −8.48807e8 | − | 2.49232e8i | −0.968230 | − | 0.284298i | −0.240872 | − | 0.970557i | \(-0.577434\pi\) |
−0.727357 | + | 0.686259i | \(0.759252\pi\) | |||||||
\(360\) | −2.42446e8 | − | 1.68625e9i | −0.273877 | − | 1.90486i | ||||
\(361\) | 5.36732e8 | + | 6.19421e8i | 0.600457 | + | 0.692964i | ||||
\(362\) | −1.72939e8 | − | 3.78683e8i | −0.191607 | − | 0.419562i | ||||
\(363\) | 6.91311e8 | − | 2.02987e8i | 0.758578 | − | 0.222739i | ||||
\(364\) | 4.24287e8 | − | 9.29059e8i | 0.461111 | − | 1.00969i | ||||
\(365\) | 4.91996e7 | − | 3.42191e8i | 0.0529587 | − | 0.368336i | ||||
\(366\) | 6.71073e8 | − | 4.31273e8i | 0.715461 | − | 0.459799i | ||||
\(367\) | 4.49573e8 | 0.474755 | 0.237377 | − | 0.971418i | \(-0.423712\pi\) | ||||
0.237377 | + | 0.971418i | \(0.423712\pi\) | |||||||
\(368\) | −2.32815e8 | + | 3.61804e9i | −0.243525 | + | 3.78448i | ||||
\(369\) | −2.16474e8 | −0.224292 | ||||||||
\(370\) | −2.80106e8 | + | 1.80013e8i | −0.287486 | + | 0.184756i | ||||
\(371\) | 1.26287e8 | − | 8.78343e8i | 0.128395 | − | 0.893008i | ||||
\(372\) | −1.11312e9 | + | 2.43738e9i | −1.12109 | + | 2.45484i | ||||
\(373\) | −1.13898e9 | + | 3.34435e8i | −1.13641 | + | 0.333680i | −0.795224 | − | 0.606315i | \(-0.792647\pi\) |
−0.341186 | + | 0.939996i | \(0.610829\pi\) | |||||||
\(374\) | −1.16194e9 | − | 2.54430e9i | −1.14851 | − | 2.51488i | ||||
\(375\) | 6.07585e8 | + | 7.01190e8i | 0.594973 | + | 0.686636i | ||||
\(376\) | 6.06802e8 | + | 4.22040e9i | 0.588694 | + | 4.09445i | ||||
\(377\) | 1.58301e8 | + | 4.64813e7i | 0.152156 | + | 0.0446769i | ||||
\(378\) | 1.43130e8 | − | 1.65181e8i | 0.136304 | − | 0.157304i | ||||
\(379\) | 1.24893e9 | + | 8.02637e8i | 1.17842 | + | 0.757324i | 0.975095 | − | 0.221787i | \(-0.0711890\pi\) |
0.203324 | + | 0.979111i | \(0.434825\pi\) | |||||||
\(380\) | 1.21698e9 | + | 7.82103e8i | 1.13773 | + | 0.731175i | ||||
\(381\) | −2.61963e8 | + | 3.02321e8i | −0.242662 | + | 0.280047i | ||||
\(382\) | 2.66388e8 | + | 7.82185e7i | 0.244508 | + | 0.0717939i | ||||
\(383\) | 1.98927e8 | + | 1.38357e9i | 0.180925 | + | 1.25836i | 0.854582 | + | 0.519317i | \(0.173814\pi\) |
−0.673657 | + | 0.739044i | \(0.735277\pi\) | |||||||
\(384\) | 1.48350e9 | + | 1.71205e9i | 1.33699 | + | 1.54297i | ||||
\(385\) | 6.83830e8 | + | 1.49738e9i | 0.610711 | + | 1.33727i | ||||
\(386\) | 2.62424e9 | − | 7.70547e8i | 2.32246 | − | 0.681936i | ||||
\(387\) | −1.51314e7 | + | 3.31331e7i | −0.0132706 | + | 0.0290585i | ||||
\(388\) | −1.51409e8 | + | 1.05307e9i | −0.131595 | + | 0.915264i | ||||
\(389\) | 9.82764e8 | − | 6.31584e8i | 0.846498 | − | 0.544011i | −0.0439829 | − | 0.999032i | \(-0.514005\pi\) |
0.890481 | + | 0.455021i | \(0.150368\pi\) | |||||||
\(390\) | −1.61839e9 | −1.38152 | ||||||||
\(391\) | −3.76008e8 | + | 1.03053e9i | −0.318111 | + | 0.871849i | ||||
\(392\) | −2.77061e9 | −2.32314 | ||||||||
\(393\) | 7.89832e8 | − | 5.07594e8i | 0.656389 | − | 0.421835i | ||||
\(394\) | 3.14032e8 | − | 2.18414e9i | 0.258665 | − | 1.79905i | ||||
\(395\) | −2.09631e8 | + | 4.59027e8i | −0.171145 | + | 0.374756i | ||||
\(396\) | −1.67029e9 | + | 4.90442e8i | −1.35163 | + | 0.396876i | ||||
\(397\) | −3.41323e8 | − | 7.47393e8i | −0.273778 | − | 0.599491i | 0.721938 | − | 0.691958i | \(-0.243252\pi\) |
−0.995716 | + | 0.0924677i | \(0.970525\pi\) | |||||||
\(398\) | −9.31915e8 | − | 1.07549e9i | −0.740944 | − | 0.855095i | ||||
\(399\) | 1.67928e7 | + | 1.16796e8i | 0.0132348 | + | 0.0920500i | ||||
\(400\) | −8.94611e9 | − | 2.62681e9i | −6.98914 | − | 2.05220i | ||||
\(401\) | −6.75929e8 | + | 7.80064e8i | −0.523475 | + | 0.604122i | −0.954498 | − | 0.298219i | \(-0.903607\pi\) |
0.431023 | + | 0.902341i | \(0.358153\pi\) | |||||||
\(402\) | −1.77104e9 | − | 1.13818e9i | −1.35968 | − | 0.873816i | ||||
\(403\) | 1.36146e9 | + | 8.74954e8i | 1.03618 | + | 0.665913i | ||||
\(404\) | 4.09577e9 | − | 4.72677e9i | 3.09030 | − | 3.56640i | ||||
\(405\) | −2.43580e8 | − | 7.15216e7i | −0.182200 | − | 0.0534989i | ||||
\(406\) | 4.54954e7 | + | 3.16428e8i | 0.0337386 | + | 0.234657i | ||||
\(407\) | 1.41654e8 | + | 1.63478e8i | 0.104148 | + | 0.120193i | ||||
\(408\) | 1.03155e9 | + | 2.25878e9i | 0.751933 | + | 1.64650i | ||||
\(409\) | 7.29977e8 | − | 2.14341e8i | 0.527567 | − | 0.154908i | −0.00709304 | − | 0.999975i | \(-0.502258\pi\) |
0.534660 | + | 0.845067i | \(0.320440\pi\) | |||||||
\(410\) | −1.29022e9 | + | 2.82520e9i | −0.924532 | + | 2.02444i | ||||
\(411\) | 1.35442e8 | − | 9.42023e8i | 0.0962295 | − | 0.669291i | ||||
\(412\) | −5.70269e9 | + | 3.66490e9i | −4.01735 | + | 2.58180i | ||||
\(413\) | 8.35464e7 | 0.0583583 | ||||||||
\(414\) | 8.20635e8 | + | 4.40524e8i | 0.568393 | + | 0.305118i | ||||
\(415\) | −3.50716e9 | −2.40873 | ||||||||
\(416\) | 3.53994e9 | − | 2.27498e9i | 2.41085 | − | 1.54936i | ||||
\(417\) | −1.93695e8 | + | 1.34718e9i | −0.130810 | + | 0.909807i | ||||
\(418\) | 5.32611e8 | − | 1.16626e9i | 0.356692 | − | 0.781047i | ||||
\(419\) | −5.95012e8 | + | 1.74711e8i | −0.395163 | + | 0.116030i | −0.473276 | − | 0.880914i | \(-0.656929\pi\) |
0.0781128 | + | 0.996945i | \(0.475111\pi\) | |||||||
\(420\) | −9.54892e8 | − | 2.09092e9i | −0.628900 | − | 1.37710i | ||||
\(421\) | 1.94510e8 | + | 2.24477e8i | 0.127044 | + | 0.146617i | 0.815708 | − | 0.578464i | \(-0.196348\pi\) |
−0.688664 | + | 0.725081i | \(0.741802\pi\) | |||||||
\(422\) | −3.41780e8 | − | 2.37713e9i | −0.221387 | − | 1.53978i | ||||
\(423\) | 6.09641e8 | + | 1.79007e8i | 0.391636 | + | 0.114995i | ||||
\(424\) | 5.60554e9 | − | 6.46914e9i | 3.57139 | − | 4.12160i | ||||
\(425\) | −2.37328e9 | − | 1.52521e9i | −1.49964 | − | 0.963760i | ||||
\(426\) | −1.33188e9 | − | 8.55948e8i | −0.834702 | − | 0.536431i | ||||
\(427\) | 4.48125e8 | − | 5.17163e8i | 0.278549 | − | 0.321462i | ||||
\(428\) | −6.66079e9 | − | 1.95579e9i | −4.10651 | − | 1.20578i | ||||
\(429\) | 1.49630e8 | + | 1.04070e9i | 0.0914994 | + | 0.636392i | ||||
\(430\) | 3.42233e8 | + | 3.94958e8i | 0.207579 | + | 0.239559i | ||||
\(431\) | −4.31896e8 | − | 9.45720e8i | −0.259841 | − | 0.568973i | 0.734080 | − | 0.679063i | \(-0.237614\pi\) |
−0.993922 | + | 0.110089i | \(0.964886\pi\) | |||||||
\(432\) | 1.17343e9 | − | 3.44549e8i | 0.700266 | − | 0.205617i | ||||
\(433\) | 4.35791e8 | − | 9.54248e8i | 0.257971 | − | 0.564877i | −0.735687 | − | 0.677321i | \(-0.763141\pi\) |
0.993658 | + | 0.112444i | \(0.0358680\pi\) | |||||||
\(434\) | −4.46276e8 | + | 3.10392e9i | −0.262053 | + | 1.82262i | ||||
\(435\) | 3.12365e8 | − | 2.00745e8i | 0.181949 | − | 0.116932i | ||||
\(436\) | −3.53297e8 | −0.204144 | ||||||||
\(437\) | −4.69864e8 | + | 1.79082e8i | −0.269331 | + | 0.102652i | ||||
\(438\) | 4.27849e8 | 0.243294 | ||||||||
\(439\) | 2.47515e9 | − | 1.59069e9i | 1.39629 | − | 0.897343i | 0.396507 | − | 0.918032i | \(-0.370222\pi\) |
0.999786 | + | 0.0206890i | \(0.00658598\pi\) | |||||||
\(440\) | −2.25984e9 | + | 1.57175e10i | −1.26472 | + | 8.79630i | ||||
\(441\) | −1.71512e8 | + | 3.75558e8i | −0.0952267 | + | 0.208517i | ||||
\(442\) | 2.26344e9 | − | 6.64605e8i | 1.24678 | − | 0.366088i | ||||
\(443\) | −8.23889e7 | − | 1.80406e8i | −0.0450252 | − | 0.0985914i | 0.885783 | − | 0.464100i | \(-0.153622\pi\) |
−0.930808 | + | 0.365509i | \(0.880895\pi\) | |||||||
\(444\) | −1.97804e8 | − | 2.28278e8i | −0.107249 | − | 0.123772i | ||||
\(445\) | −1.62095e8 | − | 1.12740e9i | −0.0871988 | − | 0.606481i | ||||
\(446\) | 3.15859e9 | + | 9.27445e8i | 1.68586 | + | 0.495012i | ||||
\(447\) | −9.67812e7 | + | 1.11692e8i | −0.0512525 | + | 0.0591485i | ||||
\(448\) | 3.46614e9 | + | 2.22755e9i | 1.82126 | + | 1.17045i | ||||
\(449\) | 3.56168e8 | + | 2.28895e8i | 0.185692 | + | 0.119337i | 0.630184 | − | 0.776446i | \(-0.282980\pi\) |
−0.444492 | + | 0.895783i | \(0.646616\pi\) | |||||||
\(450\) | −1.56858e9 | + | 1.81023e9i | −0.811451 | + | 0.936464i | ||||
\(451\) | 1.93602e9 | + | 5.68467e8i | 0.993785 | + | 0.291802i | ||||
\(452\) | 4.11712e7 | + | 2.86352e8i | 0.0209705 | + | 0.145853i | ||||
\(453\) | 2.43065e8 | + | 2.80512e8i | 0.122851 | + | 0.141778i | ||||
\(454\) | 1.56067e9 | + | 3.41738e9i | 0.782734 | + | 1.71395i | ||||
\(455\) | −1.33208e9 | + | 3.91135e8i | −0.662967 | + | 0.194665i | ||||
\(456\) | −4.72841e8 | + | 1.03538e9i | −0.233528 | + | 0.511354i | ||||
\(457\) | −8.14005e7 | + | 5.66153e8i | −0.0398952 | + | 0.277477i | −0.999998 | − | 0.00217140i | \(-0.999309\pi\) |
0.960102 | + | 0.279648i | \(0.0902179\pi\) | |||||||
\(458\) | −1.31492e9 | + | 8.45048e8i | −0.639544 | + | 0.411010i | ||||
\(459\) | 3.70035e8 | 0.178607 | ||||||||
\(460\) | 7.79956e9 | − | 5.92604e9i | 3.73609 | − | 2.83865i | ||||
\(461\) | −4.22521e8 | −0.200861 | −0.100430 | − | 0.994944i | \(-0.532022\pi\) | ||||
−0.100430 | + | 0.994944i | \(0.532022\pi\) | |||||||
\(462\) | −1.71385e9 | + | 1.10142e9i | −0.808584 | + | 0.519645i | ||||
\(463\) | −6.82628e7 | + | 4.74778e8i | −0.0319632 | + | 0.222309i | −0.999542 | − | 0.0302601i | \(-0.990366\pi\) |
0.967579 | + | 0.252569i | \(0.0812755\pi\) | |||||||
\(464\) | −7.43073e8 | + | 1.62710e9i | −0.345318 | + | 0.756140i | ||||
\(465\) | 3.49472e9 | − | 1.02614e9i | 1.61186 | − | 0.473285i | ||||
\(466\) | −3.01571e9 | − | 6.60347e9i | −1.38051 | − | 3.02289i | ||||
\(467\) | −1.43760e9 | − | 1.65908e9i | −0.653176 | − | 0.753805i | 0.328471 | − | 0.944514i | \(-0.393467\pi\) |
−0.981647 | + | 0.190709i | \(0.938921\pi\) | |||||||
\(468\) | −2.08942e8 | − | 1.45322e9i | −0.0942246 | − | 0.655346i | ||||
\(469\) | −1.73281e9 | − | 5.08799e8i | −0.775615 | − | 0.227741i | ||||
\(470\) | 5.96979e9 | − | 6.88950e9i | 2.65226 | − | 3.06087i | ||||
\(471\) | 1.22449e9 | + | 7.86929e8i | 0.539984 | + | 0.347026i | ||||
\(472\) | 6.77978e8 | + | 4.35710e8i | 0.296769 | + | 0.190722i | ||||
\(473\) | 2.22335e8 | − | 2.56588e8i | 0.0966037 | − | 0.111487i | ||||
\(474\) | −5.99230e8 | − | 1.75950e8i | −0.258446 | − | 0.0758865i | ||||
\(475\) | −1.84034e8 | − | 1.27998e9i | −0.0787897 | − | 0.547994i | ||||
\(476\) | 2.19414e9 | + | 2.53217e9i | 0.932481 | + | 1.07614i | ||||
\(477\) | −5.29890e8 | − | 1.16030e9i | −0.223549 | − | 0.489503i | ||||
\(478\) | 1.61372e9 | − | 4.73832e8i | 0.675821 | − | 0.198439i | ||||
\(479\) | −2.05483e8 | + | 4.49946e8i | −0.0854284 | + | 0.187062i | −0.947525 | − | 0.319682i | \(-0.896424\pi\) |
0.862096 | + | 0.506744i | \(0.169151\pi\) | |||||||
\(480\) | 1.34776e9 | − | 9.37390e9i | 0.556249 | − | 3.86880i | ||||
\(481\) | −1.53473e8 | + | 9.86310e7i | −0.0628816 | + | 0.0404116i | ||||
\(482\) | −2.53161e9 | −1.02975 | ||||||||
\(483\) | 7.81924e8 | + | 1.64259e8i | 0.315755 | + | 0.0663307i | ||||
\(484\) | 9.37779e9 | 3.75960 | ||||||||
\(485\) | 1.21658e9 | − | 7.81847e8i | 0.484221 | − | 0.311190i | ||||
\(486\) | 4.47125e7 | − | 3.10983e8i | 0.0176686 | − | 0.122888i | ||||
\(487\) | 1.42817e9 | − | 3.12727e9i | 0.560312 | − | 1.22691i | −0.391485 | − | 0.920184i | \(-0.628039\pi\) |
0.951797 | − | 0.306728i | \(-0.0992341\pi\) | |||||||
\(488\) | 6.33363e9 | − | 1.85972e9i | 2.46708 | − | 0.724400i | ||||
\(489\) | 6.72165e8 | + | 1.47184e9i | 0.259953 | + | 0.569217i | ||||
\(490\) | 3.87916e9 | + | 4.47679e9i | 1.48954 | + | 1.71902i | ||||
\(491\) | 3.03471e8 | + | 2.11069e9i | 0.115700 | + | 0.804708i | 0.962205 | + | 0.272327i | \(0.0877934\pi\) |
−0.846505 | + | 0.532381i | \(0.821298\pi\) | |||||||
\(492\) | −2.70344e9 | − | 7.93801e8i | −1.02338 | − | 0.300492i | ||||
\(493\) | −3.54428e8 | + | 4.09031e8i | −0.133218 | + | 0.153742i | ||||
\(494\) | 9.09660e8 | + | 5.84603e8i | 0.339496 | + | 0.218181i | ||||
\(495\) | 1.99063e9 | + | 1.27930e9i | 0.737686 | + | 0.474082i | ||||
\(496\) | −1.14904e10 | + | 1.32606e10i | −4.22813 | + | 4.87952i | ||||
\(497\) | −1.30313e9 | − | 3.82633e8i | −0.476145 | − | 0.139809i | ||||
\(498\) | −6.17710e8 | − | 4.29627e9i | −0.224121 | − | 1.55879i | ||||
\(499\) | 4.92143e8 | + | 5.67963e8i | 0.177312 | + | 0.204629i | 0.837448 | − | 0.546517i | \(-0.184047\pi\) |
−0.660136 | + | 0.751146i | \(0.729501\pi\) | |||||||
\(500\) | 5.01659e9 | + | 1.09848e10i | 1.79479 | + | 3.93004i | ||||
\(501\) | 2.67623e8 | − | 7.85811e7i | 0.0950804 | − | 0.0279181i | ||||
\(502\) | 1.39867e8 | − | 3.06267e8i | 0.0493462 | − | 0.108053i | ||||
\(503\) | 2.73112e8 | − | 1.89954e9i | 0.0956870 | − | 0.665517i | −0.884368 | − | 0.466790i | \(-0.845410\pi\) |
0.980055 | − | 0.198727i | \(-0.0636807\pi\) | |||||||
\(504\) | 1.52152e9 | − | 9.77820e8i | 0.529383 | − | 0.340214i | ||||
\(505\) | −8.50157e9 | −2.93751 | ||||||||
\(506\) | −6.18247e9 | − | 6.09481e9i | −2.12146 | − | 2.09138i | ||||
\(507\) | 8.07477e8 | 0.275171 | ||||||||
\(508\) | −4.38012e9 | + | 2.81493e9i | −1.48239 | + | 0.952676i | ||||
\(509\) | 7.79800e8 | − | 5.42363e9i | 0.262102 | − | 1.82296i | −0.254888 | − | 0.966971i | \(-0.582038\pi\) |
0.516990 | − | 0.855991i | \(-0.327052\pi\) | |||||||
\(510\) | 2.20548e9 | − | 4.82933e9i | 0.736220 | − | 1.61210i | ||||
\(511\) | 3.52159e8 | − | 1.03403e8i | 0.116752 | − | 0.0342816i | ||||
\(512\) | 2.78977e9 | + | 6.10874e9i | 0.918593 | + | 2.01144i | ||||
\(513\) | 1.11075e8 | + | 1.28188e8i | 0.0363251 | + | 0.0419214i | ||||
\(514\) | −5.21507e8 | − | 3.62716e9i | −0.169390 | − | 1.17814i | ||||
\(515\) | 8.84112e9 | + | 2.59599e9i | 2.85221 | + | 0.837486i | ||||
\(516\) | −3.10466e8 | + | 3.58296e8i | −0.0994809 | + | 0.114807i | ||||
\(517\) | −4.98221e9 | − | 3.20187e9i | −1.58564 | − | 1.01903i | ||||
\(518\) | −2.97377e8 | − | 1.91113e8i | −0.0940056 | − | 0.0604137i | ||||
\(519\) | −1.15586e8 | + | 1.33393e8i | −0.0362927 | + | 0.0418840i | ||||
\(520\) | −1.28497e10 | − | 3.77301e9i | −4.00757 | − | 1.17673i | ||||
\(521\) | 7.54279e7 | + | 5.24612e8i | 0.0233668 | + | 0.162520i | 0.998164 | − | 0.0605745i | \(-0.0192933\pi\) |
−0.974797 | + | 0.223094i | \(0.928384\pi\) | |||||||
\(522\) | 3.00928e8 | + | 3.47290e8i | 0.0926012 | + | 0.106867i | ||||
\(523\) | −5.66426e8 | − | 1.24030e9i | −0.173136 | − | 0.379115i | 0.803094 | − | 0.595852i | \(-0.203186\pi\) |
−0.976230 | + | 0.216738i | \(0.930458\pi\) | |||||||
\(524\) | 1.17252e10 | − | 3.44282e9i | 3.56008 | − | 1.04533i | ||||
\(525\) | −8.53583e8 | + | 1.86909e9i | −0.257447 | + | 0.563731i | ||||
\(526\) | −3.07904e7 | + | 2.14152e8i | −0.00922497 | + | 0.0641611i | ||||
\(527\) | −4.46623e9 | + | 2.87027e9i | −1.32924 | + | 0.854251i | ||||
\(528\) | −1.13993e10 | −3.37022 | ||||||||
\(529\) | 4.86188e7 | + | 3.40448e9i | 0.0142794 | + | 0.999898i | ||||
\(530\) | −1.83013e10 | −5.33969 | ||||||||
\(531\) | 1.01030e8 | − | 6.49282e7i | 0.0292833 | − | 0.0188193i | ||||
\(532\) | −2.18570e8 | + | 1.52019e9i | −0.0629362 | + | 0.437731i | ||||
\(533\) | −7.06927e8 | + | 1.54795e9i | −0.202222 | + | 0.442805i | ||||
\(534\) | 1.35251e9 | − | 3.97134e8i | 0.384368 | − | 0.112861i | ||||
\(535\) | 3.91993e9 | + | 8.58346e9i | 1.10673 | + | 2.42339i | ||||
\(536\) | −1.14083e10 | − | 1.31658e10i | −3.19995 | − | 3.69293i | ||||
\(537\) | 8.32290e7 | + | 5.78870e8i | 0.0231934 | + | 0.161314i | ||||
\(538\) | 2.33315e9 | + | 6.85074e8i | 0.645958 | + | 0.189670i | ||||
\(539\) | 2.52013e9 | − | 2.90839e9i | 0.693206 | − | 0.800003i | ||||
\(540\) | −2.77969e9 | − | 1.78640e9i | −0.759657 | − | 0.488202i | ||||
\(541\) | 1.61881e9 | + | 1.04034e9i | 0.439547 | + | 0.282479i | 0.741639 | − | 0.670799i | \(-0.234049\pi\) |
−0.302092 | + | 0.953279i | \(0.597685\pi\) | |||||||
\(542\) | 2.02851e9 | − | 2.34102e9i | 0.547242 | − | 0.631551i | ||||
\(543\) | −4.92555e8 | − | 1.44627e8i | −0.132025 | − | 0.0387660i | ||||
\(544\) | 1.96452e9 | + | 1.36636e10i | 0.523192 | + | 3.63888i | ||||
\(545\) | 3.14486e8 | + | 3.62936e8i | 0.0832172 | + | 0.0960378i | ||||
\(546\) | −7.13759e8 | − | 1.56291e9i | −0.187662 | − | 0.410923i | ||||
\(547\) | 9.59664e8 | − | 2.81783e8i | 0.250705 | − | 0.0736137i | −0.153965 | − | 0.988076i | \(-0.549204\pi\) |
0.404671 | + | 0.914463i | \(0.367386\pi\) | |||||||
\(548\) | 5.14583e9 | − | 1.12678e10i | 1.33575 | − | 2.92487i | ||||
\(549\) | 1.39990e8 | − | 9.73651e8i | 0.0361072 | − | 0.251131i | ||||
\(550\) | 1.87822e10 | − | 1.20706e10i | 4.81368 | − | 3.09357i | ||||
\(551\) | −2.48087e8 | −0.0631791 | ||||||||
\(552\) | 5.48867e9 | + | 5.41084e9i | 1.38893 | + | 1.36924i | ||||
\(553\) | −5.35746e8 | −0.134716 | ||||||||
\(554\) | −6.69475e9 | + | 4.30246e9i | −1.67282 | + | 1.07506i | ||||
\(555\) | −5.84318e7 | + | 4.06402e8i | −0.0145085 | + | 0.100909i | ||||
\(556\) | −7.35901e9 | + | 1.61140e10i | −1.81576 | + | 3.97595i | ||||
\(557\) | −5.27043e9 | + | 1.54754e9i | −1.29227 | + | 0.379444i | −0.854410 | − | 0.519600i | \(-0.826081\pi\) |
−0.437858 | + | 0.899044i | \(0.644263\pi\) | |||||||
\(558\) | 1.87254e9 | + | 4.10030e9i | 0.456260 | + | 0.999070i | ||||
\(559\) | 1.87513e8 | + | 2.16402e8i | 0.0454036 | + | 0.0523986i | ||||
\(560\) | −2.14214e9 | − | 1.48989e10i | −0.515455 | − | 3.58507i | ||||
\(561\) | −3.30939e9 | − | 9.71725e8i | −0.791367 | − | 0.232366i | ||||
\(562\) | 5.21959e9 | − | 6.02373e9i | 1.24039 | − | 1.43149i | ||||
\(563\) | 5.35561e9 | + | 3.44184e9i | 1.26482 | + | 0.812852i | 0.988937 | − | 0.148338i | \(-0.0473924\pi\) |
0.275886 | + | 0.961190i | \(0.411029\pi\) | |||||||
\(564\) | 6.95709e9 | + | 4.47105e9i | 1.63287 | + | 1.04938i | ||||
\(565\) | 2.57516e8 | − | 2.97190e8i | 0.0600669 | − | 0.0693209i | ||||
\(566\) | −4.02667e9 | − | 1.18234e9i | −0.933444 | − | 0.274084i | ||||
\(567\) | −3.83562e7 | − | 2.66773e8i | −0.00883680 | − | 0.0614613i | ||||
\(568\) | −8.57937e9 | − | 9.90112e9i | −1.96443 | − | 2.26707i | ||||
\(569\) | 2.81452e9 | + | 6.16293e9i | 0.640488 | + | 1.40247i | 0.899639 | + | 0.436636i | \(0.143830\pi\) |
−0.259151 | + | 0.965837i | \(0.583443\pi\) | |||||||
\(570\) | 2.33501e9 | − | 6.85620e8i | 0.528112 | − | 0.155068i | ||||
\(571\) | −4.52043e8 | + | 9.89836e8i | −0.101614 | + | 0.222504i | −0.953610 | − | 0.301045i | \(-0.902665\pi\) |
0.851996 | + | 0.523548i | \(0.175392\pi\) | |||||||
\(572\) | −1.94755e9 | + | 1.35455e10i | −0.435112 | + | 3.02627i | ||||
\(573\) | 2.88007e8 | − | 1.85091e8i | 0.0639531 | − | 0.0411001i | ||||
\(574\) | −3.29738e9 | −0.727742 | ||||||||
\(575\) | −8.56918e9 | − | 1.80013e9i | −1.87976 | − | 0.394881i | ||||
\(576\) | 5.92264e9 | 1.29133 | ||||||||
\(577\) | 1.16173e9 | − | 7.46599e8i | 0.251762 | − | 0.161798i | −0.408673 | − | 0.912681i | \(-0.634008\pi\) |
0.660435 | + | 0.750883i | \(0.270372\pi\) | |||||||
\(578\) | 1.77331e8 | − | 1.23336e9i | 0.0381977 | − | 0.265671i | ||||
\(579\) | 1.40103e9 | − | 3.06783e9i | 0.299967 | − | 0.656835i | ||||
\(580\) | 4.63709e9 | − | 1.36157e9i | 0.986843 | − | 0.289763i | ||||
\(581\) | −1.54676e9 | − | 3.38694e9i | −0.327195 | − | 0.716458i | ||||
\(582\) | 1.17204e9 | + | 1.35260e9i | 0.246440 | + | 0.284407i | ||||
\(583\) | 1.69206e9 | + | 1.17686e10i | 0.353653 | + | 2.45971i | ||||
\(584\) | 3.39704e9 | + | 9.97461e8i | 0.705758 | + | 0.207229i | ||||
\(585\) | −1.30688e9 | + | 1.50822e9i | −0.269892 | + | 0.311472i | ||||
\(586\) | 1.51556e10 | + | 9.73992e9i | 3.11123 | + | 1.99947i | ||||
\(587\) | 5.51856e9 | + | 3.54656e9i | 1.12614 | + | 0.723726i | 0.964751 | − | 0.263165i | \(-0.0847663\pi\) |
0.161389 | + | 0.986891i | \(0.448403\pi\) | |||||||
\(588\) | −3.51908e9 | + | 4.06124e9i | −0.713853 | + | 0.823830i | ||||
\(589\) | −2.33497e9 | − | 6.85609e8i | −0.470845 | − | 0.138253i | ||||
\(590\) | −2.45218e8 | − | 1.70553e9i | −0.0491553 | − | 0.341883i | ||||
\(591\) | −1.78187e9 | − | 2.05639e9i | −0.355075 | − | 0.409778i | ||||
\(592\) | −8.21666e8 | − | 1.79920e9i | −0.162768 | − | 0.356412i | ||||
\(593\) | −1.12706e9 | + | 3.30934e8i | −0.221950 | + | 0.0651703i | −0.390817 | − | 0.920469i | \(-0.627807\pi\) |
0.168867 | + | 0.985639i | \(0.445989\pi\) | |||||||
\(594\) | −1.21653e9 | + | 2.66384e9i | −0.238162 | + | 0.521501i | ||||
\(595\) | 6.48153e8 | − | 4.50801e9i | 0.126145 | − | 0.877355i | ||||
\(596\) | −1.61822e9 | + | 1.03997e9i | −0.313095 | + | 0.201214i | ||||
\(597\) | −1.75481e9 | −0.337536 | ||||||||
\(598\) | 5.82998e9 | − | 4.42957e9i | 1.11484 | − | 0.847048i | ||||
\(599\) | 9.57251e9 | 1.81983 | 0.909917 | − | 0.414789i | \(-0.136145\pi\) | ||||
0.909917 | + | 0.414789i | \(0.136145\pi\) | |||||||
\(600\) | −1.66745e10 | + | 1.07160e10i | −3.15154 | + | 2.02537i | ||||
\(601\) | 2.82436e8 | − | 1.96439e9i | 0.0530713 | − | 0.369119i | −0.945927 | − | 0.324379i | \(-0.894845\pi\) |
0.998999 | − | 0.0447404i | \(-0.0142461\pi\) | |||||||
\(602\) | −2.30484e8 | + | 5.04690e8i | −0.0430580 | + | 0.0942838i | ||||
\(603\) | −2.49085e9 | + | 7.31380e8i | −0.462634 | + | 0.135841i | ||||
\(604\) | 2.00689e9 | + | 4.39449e9i | 0.370591 | + | 0.811482i | ||||
\(605\) | −8.34761e9 | − | 9.63365e9i | −1.53256 | − | 1.76867i | ||||
\(606\) | −1.49737e9 | − | 1.04144e10i | −0.273322 | − | 1.90099i | ||||
\(607\) | −4.45198e9 | − | 1.30722e9i | −0.807965 | − | 0.237240i | −0.148439 | − | 0.988922i | \(-0.547425\pi\) |
−0.659526 | + | 0.751682i | \(0.729243\pi\) | |||||||
\(608\) | −4.14363e9 | + | 4.78201e9i | −0.747685 | + | 0.862875i | ||||
\(609\) | 3.31625e8 | + | 2.13123e8i | 0.0594959 | + | 0.0382357i | ||||
\(610\) | −1.18727e10 | − | 7.63015e9i | −2.11786 | − | 1.36106i | ||||
\(611\) | 3.27091e9 | − | 3.77483e9i | 0.580128 | − | 0.669503i | ||||
\(612\) | 4.62119e9 | + | 1.35690e9i | 0.814937 | + | 0.239287i | ||||
\(613\) | 3.72334e8 | + | 2.58964e9i | 0.0652861 | + | 0.454075i | 0.996075 | + | 0.0885167i | \(0.0282127\pi\) |
−0.930789 | + | 0.365558i | \(0.880878\pi\) | |||||||
\(614\) | −1.41397e10 | − | 1.63181e10i | −2.46519 | − | 2.84498i | ||||
\(615\) | 1.59100e9 | + | 3.48379e9i | 0.275807 | + | 0.603934i | ||||
\(616\) | −1.61754e10 | + | 4.74952e9i | −2.78819 | + | 0.818686i | ||||
\(617\) | 1.64932e9 | − | 3.61151e9i | 0.282688 | − | 0.619000i | −0.714016 | − | 0.700130i | \(-0.753126\pi\) |
0.996704 | + | 0.0811297i | \(0.0258528\pi\) | |||||||
\(618\) | −1.62291e9 | + | 1.12876e10i | −0.276589 | + | 1.92372i | ||||
\(619\) | 4.02115e8 | − | 2.58424e8i | 0.0681449 | − | 0.0437941i | −0.506125 | − | 0.862460i | \(-0.668922\pi\) |
0.574270 | + | 0.818666i | \(0.305286\pi\) | |||||||
\(620\) | 4.74067e10 | 7.98856 | ||||||||
\(621\) | 1.07321e9 | − | 4.09040e8i | 0.179831 | − | 0.0685401i | ||||
\(622\) | −1.06036e9 | −0.176680 | ||||||||
\(623\) | 1.01726e9 | − | 6.53755e8i | 0.168549 | − | 0.108320i | ||||
\(624\) | 1.36821e9 | − | 9.51608e9i | 0.225427 | − | 1.56788i | ||||
\(625\) | 1.94887e9 | − | 4.26743e9i | 0.319302 | − | 0.699175i | ||||
\(626\) | −1.52471e10 | + | 4.47695e9i | −2.48414 | + | 0.729410i | ||||
\(627\) | −6.56771e8 | − | 1.43813e9i | −0.106409 | − | 0.233003i | ||||
\(628\) | 1.24064e10 | + | 1.43177e10i | 1.99888 | + | 2.30683i | ||||
\(629\) | −8.51711e7 | − | 5.92378e8i | −0.0136463 | − | 0.0949121i | ||||
\(630\) | −3.71027e9 | − | 1.08943e9i | −0.591171 | − | 0.173584i | ||||
\(631\) | 1.75589e9 | − | 2.02640e9i | 0.278224 | − | 0.321088i | −0.599389 | − | 0.800458i | \(-0.704590\pi\) |
0.877613 | + | 0.479371i | \(0.159135\pi\) | |||||||
\(632\) | −4.34757e9 | − | 2.79401e9i | −0.685073 | − | 0.440270i | ||||
\(633\) | −2.49130e9 | − | 1.60106e9i | −0.390404 | − | 0.250897i | ||||
\(634\) | −1.18270e10 | + | 1.36491e10i | −1.84316 | + | 2.12712i | ||||
\(635\) | 6.79068e9 | + | 1.99392e9i | 1.05246 | + | 0.309030i | ||||
\(636\) | −2.36278e9 | − | 1.64335e10i | −0.364186 | − | 2.53297i | ||||
\(637\) | 2.12543e9 | + | 2.45288e9i | 0.325806 | + | 0.376000i | ||||
\(638\) | −1.77934e9 | − | 3.89622e9i | −0.271261 | − | 0.593978i | ||||
\(639\) | −1.87320e9 | + | 5.50021e8i | −0.284008 | + | 0.0833923i | ||||
\(640\) | 1.66495e10 | − | 3.64573e10i | 2.51056 | − | 5.49737i | ||||
\(641\) | −1.32547e9 | + | 9.21883e9i | −0.198777 | + | 1.38252i | 0.609063 | + | 0.793122i | \(0.291546\pi\) |
−0.807840 | + | 0.589402i | \(0.799363\pi\) | |||||||
\(642\) | −9.82432e9 | + | 6.31371e9i | −1.46531 | + | 0.941699i | ||||
\(643\) | 2.40438e9 | 0.356668 | 0.178334 | − | 0.983970i | \(-0.442929\pi\) | ||||
0.178334 | + | 0.983970i | \(0.442929\pi\) | |||||||
\(644\) | 9.16274e9 | + | 4.91863e9i | 1.35184 | + | 0.725678i | ||||
\(645\) | 6.44432e8 | 0.0945623 | ||||||||
\(646\) | −2.98412e9 | + | 1.91778e9i | −0.435515 | + | 0.279888i | ||||
\(647\) | −1.84306e9 | + | 1.28188e10i | −0.267531 | + | 1.86072i | 0.204136 | + | 0.978943i | \(0.434562\pi\) |
−0.471667 | + | 0.881777i | \(0.656348\pi\) | |||||||
\(648\) | 1.08001e9 | − | 2.36490e9i | 0.155925 | − | 0.341429i | ||||
\(649\) | −1.07406e9 | + | 3.15373e8i | −0.154231 | + | 0.0452864i | ||||
\(650\) | 7.82215e9 | + | 1.71281e10i | 1.11720 | + | 2.44632i | ||||
\(651\) | 2.53224e9 | + | 2.92236e9i | 0.359726 | + | 0.415146i | ||||
\(652\) | 2.99718e9 | + | 2.08458e10i | 0.423493 | + | 2.94546i | ||||
\(653\) | −4.29889e9 | − | 1.26227e9i | −0.604172 | − | 0.177401i | −0.0346808 | − | 0.999398i | \(-0.511041\pi\) |
−0.569491 | + | 0.821998i | \(0.692860\pi\) | |||||||
\(654\) | −3.89206e8 | + | 4.49168e8i | −0.0544074 | + | 0.0627895i | ||||
\(655\) | −1.39739e10 | − | 8.98045e9i | −1.94299 | − | 1.24869i | ||||
\(656\) | −1.55213e10 | − | 9.97493e9i | −2.14667 | − | 1.37958i | ||||
\(657\) | 3.45496e8 | − | 3.98724e8i | 0.0475296 | − | 0.0548521i | ||||
\(658\) | 9.28619e9 | + | 2.72667e9i | 1.27071 | + | 0.373114i | ||||
\(659\) | −1.07504e9 | − | 7.47704e9i | −0.146327 | − | 1.01773i | −0.922166 | − | 0.386795i | \(-0.873582\pi\) |
0.775839 | − | 0.630931i | \(-0.217327\pi\) | |||||||
\(660\) | 2.01688e10 | + | 2.32761e10i | 2.73072 | + | 3.15142i | ||||
\(661\) | −9.83534e8 | − | 2.15364e9i | −0.132460 | − | 0.290047i | 0.831767 | − | 0.555125i | \(-0.187330\pi\) |
−0.964227 | + | 0.265078i | \(0.914602\pi\) | |||||||
\(662\) | −1.22264e10 | + | 3.59001e9i | −1.63794 | + | 0.480942i | ||||
\(663\) | 1.20840e9 | − | 2.64604e9i | 0.161033 | − | 0.352613i | ||||
\(664\) | 5.11155e9 | − | 3.55516e10i | 0.677586 | − | 4.71272i | ||||
\(665\) | 1.75622e9 | − | 1.12866e9i | 0.231582 | − | 0.148829i | ||||
\(666\) | −5.08134e8 | −0.0666528 | ||||||||
\(667\) | −5.75799e8 | + | 1.57810e9i | −0.0751330 | + | 0.205918i | ||||
\(668\) | 3.63036e9 | 0.471229 | ||||||||
\(669\) | 3.41493e9 | − | 2.19464e9i | 0.440951 | − | 0.283382i | ||||
\(670\) | −5.30071e9 | + | 3.68672e10i | −0.680882 | + | 4.73564i | ||||
\(671\) | −3.80883e9 | + | 8.34018e9i | −0.486702 | + | 1.06573i | ||||
\(672\) | 9.64697e9 | − | 2.83261e9i | 1.22631 | − | 0.360076i | ||||
\(673\) | −3.77737e9 | − | 8.27129e9i | −0.477680 | − | 1.04597i | −0.983095 | − | 0.183096i | \(-0.941388\pi\) |
0.505415 | − | 0.862876i | \(-0.331339\pi\) | |||||||
\(674\) | 9.87508e9 | + | 1.13965e10i | 1.24231 | + | 1.43371i | ||||
\(675\) | 4.20350e8 | + | 2.92360e9i | 0.0526075 | + | 0.365893i | ||||
\(676\) | 1.00842e10 | + | 2.96098e9i | 1.25553 | + | 0.368657i | ||||
\(677\) | −6.94431e9 | + | 8.01417e9i | −0.860140 | + | 0.992654i | 0.139857 | + | 0.990172i | \(0.455336\pi\) |
−0.999997 | + | 0.00248257i | \(0.999210\pi\) | |||||||
\(678\) | 4.09413e8 | + | 2.63114e8i | 0.0504496 | + | 0.0324220i | ||||
\(679\) | 1.29159e9 | + | 8.30056e8i | 0.158337 | + | 0.101757i | ||||
\(680\) | 2.87699e10 | − | 3.32022e10i | 3.50878 | − | 4.04935i | ||||
\(681\) | 4.44501e9 | + | 1.30517e9i | 0.539334 | + | 0.158363i | ||||
\(682\) | −5.97947e9 | − | 4.15881e10i | −0.721801 | − | 5.02024i | ||||
\(683\) | 4.73927e9 | + | 5.46941e9i | 0.569166 | + | 0.656852i | 0.965240 | − | 0.261366i | \(-0.0841730\pi\) |
−0.396074 | + | 0.918219i | \(0.629628\pi\) | |||||||
\(684\) | 9.17107e8 | + | 2.00818e9i | 0.109578 | + | 0.239942i | ||||
\(685\) | −1.61558e10 | + | 4.74376e9i | −1.92048 | + | 0.563905i | ||||
\(686\) | −6.41142e9 | + | 1.40390e10i | −0.758263 | + | 1.66036i | ||||
\(687\) | −2.74300e8 | + | 1.90780e9i | −0.0322758 | + | 0.224483i | ||||
\(688\) | −2.61167e9 | + | 1.67842e9i | −0.305744 | + | 0.196490i | ||||
\(689\) | −1.00275e10 | −1.16795 | ||||||||
\(690\) | 1.05818e9 | − | 1.64444e10i | 0.122627 | − | 1.90567i | ||||
\(691\) | 4.50298e8 | 0.0519191 | 0.0259595 | − | 0.999663i | \(-0.491736\pi\) | ||||
0.0259595 | + | 0.999663i | \(0.491736\pi\) | |||||||
\(692\) | −1.93264e9 | + | 1.24203e9i | −0.221707 | + | 0.142483i | ||||
\(693\) | −3.57519e8 | + | 2.48660e9i | −0.0408068 | + | 0.283817i | ||||
\(694\) | 2.95508e9 | − | 6.47072e9i | 0.335591 | − | 0.734843i | ||||
\(695\) | 2.31042e10 | − | 6.78401e9i | 2.61063 | − | 0.766549i | ||||
\(696\) | 1.57966e9 | + | 3.45898e9i | 0.177596 | + | 0.388880i | ||||
\(697\) | −3.65577e9 | − | 4.21898e9i | −0.408944 | − | 0.471947i | ||||
\(698\) | −2.92147e9 | − | 2.03193e10i | −0.325168 | − | 2.26159i | ||||
\(699\) | −8.58919e9 | − | 2.52201e9i | −0.951222 | − | 0.279304i | ||||
\(700\) | −1.75138e10 | + | 2.02121e10i | −1.92992 | + | 2.22724i | ||||
\(701\) | 7.46608e9 | + | 4.79816e9i | 0.818615 | + | 0.526092i | 0.881641 | − | 0.471920i | \(-0.156439\pi\) |
−0.0630265 | + | 0.998012i | \(0.520075\pi\) | |||||||
\(702\) | −2.07775e9 | − | 1.33529e9i | −0.226680 | − | 0.145678i | ||||
\(703\) | 1.79646e8 | − | 2.07322e8i | 0.0195017 | − | 0.0225062i | ||||
\(704\) | −5.29688e10 | − | 1.55530e10i | −5.72158 | − | 1.68001i | ||||
\(705\) | −1.59979e9 | − | 1.11268e10i | −0.171950 | − | 1.19594i | ||||
\(706\) | −7.48426e9 | − | 8.63730e9i | −0.800447 | − | 0.923765i | ||||
\(707\) | −3.74945e9 | − | 8.21014e9i | −0.399024 | − | 0.873741i | ||||
\(708\) | 1.49981e9 | − | 4.40383e8i | 0.158825 | − | 0.0466352i | ||||
\(709\) | −4.64521e8 | + | 1.01716e9i | −0.0489490 | + | 0.107183i | −0.932526 | − | 0.361102i | \(-0.882401\pi\) |
0.883577 | + | 0.468285i | \(0.155128\pi\) | |||||||
\(710\) | −3.98630e9 | + | 2.77253e10i | −0.417990 | + | 2.90718i | ||||
\(711\) | −6.47862e8 | + | 4.16355e8i | −0.0675988 | + | 0.0434431i | ||||
\(712\) | 1.16645e10 | 1.21112 | ||||||||
\(713\) | −9.78057e9 | + | 1.32616e10i | −1.01053 | + | 1.37020i | ||||
\(714\) | 5.63647e9 | 0.579513 | ||||||||
\(715\) | 1.56486e10 | − | 1.00568e10i | 1.60105 | − | 1.02893i | ||||
\(716\) | −1.08329e9 | + | 7.53443e9i | −0.110293 | + | 0.767105i | ||||
\(717\) | 8.61536e8 | − | 1.88650e9i | 0.0872883 | − | 0.191135i | ||||
\(718\) | −1.85853e10 | + | 5.45713e9i | −1.87385 | + | 0.550211i | ||||
\(719\) | −4.35722e9 | − | 9.54097e9i | −0.437178 | − | 0.957285i | −0.992108 | − | 0.125388i | \(-0.959982\pi\) |
0.554930 | − | 0.831897i | \(-0.312745\pi\) | |||||||
\(720\) | −1.41692e10 | − | 1.63521e10i | −1.41475 | − | 1.63271i | ||||
\(721\) | 1.39220e9 | + | 9.68296e9i | 0.138334 | + | 0.962132i | ||||
\(722\) | 1.72191e10 | + | 5.05598e9i | 1.70267 | + | 0.499949i | ||||
\(723\) | −2.04432e9 | + | 2.35927e9i | −0.201171 | + | 0.232163i | ||||
\(724\) | −5.62094e9 | − | 3.61236e9i | −0.550458 | − | 0.353758i | ||||
\(725\) | −3.63432e9 | − | 2.33563e9i | −0.354193 | − | 0.227626i | ||||
\(726\) | 1.03310e10 | − | 1.19226e10i | 1.00199 | − | 1.15636i | ||||
\(727\) | 1.75581e10 | + | 5.15551e9i | 1.69475 | + | 0.497624i | 0.979534 | − | 0.201278i | \(-0.0645095\pi\) |
0.715217 | + | 0.698902i | \(0.246328\pi\) | |||||||
\(728\) | −2.02343e9 | − | 1.40732e10i | −0.194369 | − | 1.35187i | ||||
\(729\) | −2.53706e8 | − | 2.92793e8i | −0.0242541 | − | 0.0279907i | ||||
\(730\) | −3.14452e9 | − | 6.88554e9i | −0.299174 | − | 0.655100i | ||||
\(731\) | −9.01285e8 | + | 2.64641e8i | −0.0853397 | + | 0.0250580i | ||||
\(732\) | 5.31860e9 | − | 1.16461e10i | 0.501197 | − | 1.09747i | ||||
\(733\) | −6.94740e8 | + | 4.83202e9i | −0.0651566 | + | 0.453174i | 0.930959 | + | 0.365123i | \(0.118973\pi\) |
−0.996116 | + | 0.0880511i | \(0.971936\pi\) | |||||||
\(734\) | 8.28110e9 | − | 5.32194e9i | 0.772950 | − | 0.496745i | ||||
\(735\) | 7.30454e9 | 0.678558 | ||||||||
\(736\) | 2.08015e10 | + | 3.74568e10i | 1.92319 | + | 3.46304i | ||||
\(737\) | 2.41974e10 | 2.22655 | ||||||||
\(738\) | −3.98743e9 | + | 2.56256e9i | −0.365170 | + | 0.234681i | ||||
\(739\) | 1.52927e9 | − | 1.06363e10i | 0.139389 | − | 0.969470i | −0.793311 | − | 0.608817i | \(-0.791645\pi\) |
0.932700 | − | 0.360654i | \(-0.117446\pi\) | |||||||
\(740\) | −2.21998e9 | + | 4.86109e9i | −0.201390 | + | 0.440983i | ||||
\(741\) | 1.27937e9 | − | 3.75658e8i | 0.115514 | − | 0.0339179i | ||||
\(742\) | −8.07141e9 | − | 1.76739e10i | −0.725330 | − | 1.58825i | ||||
\(743\) | −1.06149e10 | − | 1.22503e10i | −0.949415 | − | 1.09568i | −0.995310 | − | 0.0967369i | \(-0.969159\pi\) |
0.0458952 | − | 0.998946i | \(-0.485386\pi\) | |||||||
\(744\) | 5.30845e9 | + | 3.69211e10i | 0.472566 | + | 3.28677i | ||||
\(745\) | 2.50880e9 | + | 7.36649e8i | 0.222289 | + | 0.0652700i | ||||
\(746\) | −1.70209e10 | + | 1.96432e10i | −1.50106 | + | 1.73231i | ||||
\(747\) | −4.50262e9 | − | 2.89366e9i | −0.395224 | − | 0.253995i | ||||
\(748\) | −3.77661e10 | − | 2.42708e10i | −3.29949 | − | 2.12045i | ||||
\(749\) | −6.56041e9 | + | 7.57112e9i | −0.570486 | + | 0.658376i | ||||
\(750\) | 1.94922e10 | + | 5.72341e9i | 1.68712 | + | 0.495383i | ||||
\(751\) | 1.29401e9 | + | 9.00004e9i | 0.111480 | + | 0.775363i | 0.966481 | + | 0.256736i | \(0.0826472\pi\) |
−0.855001 | + | 0.518626i | \(0.826444\pi\) | |||||||
\(752\) | 3.54631e10 | + | 4.09266e10i | 3.04098 | + | 3.50948i | ||||
\(753\) | −1.72473e8 | − | 3.77662e8i | −0.0147210 | − | 0.0322345i | ||||
\(754\) | 3.46612e9 | − | 1.01774e9i | 0.294472 | − | 0.0864647i | ||||
\(755\) | 2.72795e9 | − | 5.97339e9i | 0.230687 | − | 0.505134i | ||||
\(756\) | 4.99235e8 | − | 3.47225e9i | 0.0420222 | − | 0.292271i | ||||
\(757\) | 5.68568e8 | − | 3.65397e8i | 0.0476373 | − | 0.0306146i | −0.516605 | − | 0.856224i | \(-0.672805\pi\) |
0.564243 | + | 0.825609i | \(0.309168\pi\) | |||||||
\(758\) | 3.25065e10 | 2.71099 | ||||||||
\(759\) | −1.06724e10 | + | 8.39933e8i | −0.885961 | + | 0.0697266i | ||||
\(760\) | 2.01379e10 | 1.66405 | ||||||||
\(761\) | 1.23134e10 | − | 7.91332e9i | 1.01282 | − | 0.650897i | 0.0746951 | − | 0.997206i | \(-0.476202\pi\) |
0.938120 | + | 0.346309i | \(0.112565\pi\) | |||||||
\(762\) | −1.24653e9 | + | 8.66977e9i | −0.102061 | + | 0.709848i | ||||
\(763\) | −2.11797e8 | + | 4.63771e8i | −0.0172617 | + | 0.0377979i | ||||
\(764\) | 4.27549e9 | − | 1.25540e9i | 0.346864 | − | 0.101849i | ||||
\(765\) | −2.71961e9 | − | 5.95512e9i | −0.219630 | − | 0.480923i | ||||
\(766\) | 2.00426e10 | + | 2.31304e10i | 1.61121 | + | 1.85944i | ||||
\(767\) | −1.34357e8 | − | 9.34476e8i | −0.0107517 | − | 0.0747798i | ||||
\(768\) | 2.06523e10 | + | 6.06406e9i | 1.64514 | + | 0.483058i | ||||
\(769\) | 5.13327e9 | − | 5.92411e9i | 0.407054 | − | 0.469765i | −0.514796 | − | 0.857313i | \(-0.672132\pi\) |
0.921850 | + | 0.387548i | \(0.126678\pi\) | |||||||
\(770\) | 3.03217e10 | + | 1.94866e10i | 2.39351 | + | 1.53822i | ||||
\(771\) | −3.80137e9 | − | 2.44299e9i | −0.298710 | − | 0.191969i | ||||
\(772\) | 2.87464e10 | − | 3.31751e10i | 2.24866 | − | 2.59509i | ||||
\(773\) | 8.45264e9 | + | 2.48192e9i | 0.658210 | + | 0.193268i | 0.593746 | − | 0.804652i | \(-0.297648\pi\) |
0.0644633 | + | 0.997920i | \(0.479466\pi\) | |||||||
\(774\) | 1.13503e8 | + | 7.89429e8i | 0.00879859 | + | 0.0611955i | ||||
\(775\) | −2.77511e10 | − | 3.20265e10i | −2.14153 | − | 2.47146i | ||||
\(776\) | 6.15237e9 | + | 1.34718e10i | 0.472635 | + | 1.03493i | ||||
\(777\) | −4.18241e8 | + | 1.22807e8i | −0.0319855 | + | 0.00939178i | ||||
\(778\) | 1.06259e10 | − | 2.32674e10i | 0.808977 | − | 1.77141i | ||||
\(779\) | 3.64171e8 | − | 2.53287e9i | 0.0276010 | − | 0.191969i | ||||
\(780\) | −2.18516e10 | + | 1.40432e10i | −1.64874 | + | 1.05958i | ||||
\(781\) | 1.81972e10 | 1.36687 | ||||||||
\(782\) | 5.27311e9 | + | 2.34333e10i | 0.394315 | + | 1.75231i | ||||
\(783\) | 5.66654e8 | 0.0421844 | ||||||||
\(784\) | −2.96029e10 | + | 1.90246e10i | −2.19395 | + | 1.40997i | ||||
\(785\) | 3.66487e9 | − | 2.54897e10i | 0.270405 | − | 1.88071i | ||||
\(786\) | 8.53986e9 | − | 1.86997e10i | 0.627295 | − | 1.37358i | ||||
\(787\) | −4.24318e9 | + | 1.24591e9i | −0.310298 | + | 0.0911119i | −0.433174 | − | 0.901310i | \(-0.642607\pi\) |
0.122876 | + | 0.992422i | \(0.460788\pi\) | |||||||
\(788\) | −1.47122e10 | − | 3.22152e10i | −1.07112 | − | 2.34542i | ||||
\(789\) | 1.74710e8 | + | 2.01626e8i | 0.0126633 | + | 0.0146143i | ||||
\(790\) | 1.57247e9 | + | 1.09368e10i | 0.113472 | + | 0.789215i | ||||
\(791\) | 4.00574e8 | + | 1.17619e8i | 0.0287783 | + | 0.00845008i | ||||
\(792\) | −1.58693e10 | + | 1.83142e10i | −1.13506 | + | 1.30993i | ||||
\(793\) | −6.50520e9 | − | 4.18064e9i | −0.463238 | − | 0.297705i | ||||
\(794\) | −1.51346e10 | − | 9.72641e9i | −1.07300 | − | 0.689574i | ||||
\(795\) | −1.47786e10 | + | 1.70554e10i | −1.04316 | + | 1.20387i | ||||
\(796\) | −2.19150e10 | − | 6.43482e9i | −1.54009 | − | 0.452211i | ||||
\(797\) | 2.61768e9 | + | 1.82064e10i | 0.183152 | + | 1.27385i | 0.849251 | + | 0.527989i | \(0.177054\pi\) |
−0.666099 | + | 0.745863i | \(0.732037\pi\) | |||||||
\(798\) | 1.69193e9 | + | 1.95259e9i | 0.117861 | + | 0.136019i | ||||
\(799\) | 6.80673e9 | + | 1.49047e10i | 0.472090 | + | 1.03373i | ||||
\(800\) | −1.05722e11 | + | 3.10428e10i | −7.30047 | + | 2.14361i | ||||
\(801\) | 7.22080e8 | − | 1.58113e9i | 0.0496445 | − | 0.108706i | ||||
\(802\) | −3.21635e9 | + | 2.23702e10i | −0.220167 | + | 1.53130i | ||||
\(803\) | −4.13699e9 | + | 2.65868e9i | −0.281955 | + | 0.181201i | ||||
\(804\) | −3.37890e10 | −2.29287 | ||||||||
\(805\) | −3.10334e9 | − | 1.37910e10i | −0.209674 | − | 0.931775i | ||||
\(806\) | 3.54354e10 | 2.38377 | ||||||||
\(807\) | 2.52250e9 | − | 1.62111e9i | 0.168956 | − | 0.108581i | ||||
\(808\) | 1.23907e10 | − | 8.61793e10i | 0.826336 | − | 5.74729i | ||||
\(809\) | −1.06616e10 | + | 2.33457e10i | −0.707951 | + | 1.55020i | 0.122106 | + | 0.992517i | \(0.461035\pi\) |
−0.830057 | + | 0.557679i | \(0.811692\pi\) | |||||||
\(810\) | −5.33337e9 | + | 1.56602e9i | −0.352618 | + | 0.103538i | ||||
\(811\) | 8.64946e9 | + | 1.89397e10i | 0.569398 | + | 1.24681i | 0.947117 | + | 0.320887i | \(0.103981\pi\) |
−0.377719 | + | 0.925920i | \(0.623292\pi\) | |||||||
\(812\) | 3.36000e9 | + | 3.87764e9i | 0.220238 | + | 0.254168i | ||||
\(813\) | −5.43603e8 | − | 3.78084e9i | −0.0354784 | − | 0.246758i | ||||
\(814\) | 4.54446e9 | + | 1.33437e9i | 0.295323 | + | 0.0867146i | ||||
\(815\) | 1.87466e10 | − | 2.16348e10i | 1.21303 | − | 1.39991i | ||||
\(816\) | 2.65317e10 | + | 1.70509e10i | 1.70943 | + | 1.09858i | ||||
\(817\) | −3.62220e8 | − | 2.32785e8i | −0.0232378 | − | 0.0149340i | ||||
\(818\) | 1.09088e10 | − | 1.25894e10i | 0.696851 | − | 0.804209i | ||||
\(819\) | −2.03289e9 | − | 5.96911e8i | −0.129307 | − | 0.0379679i | ||||
\(820\) | 7.09424e9 | + | 4.93415e10i | 0.449322 | + | 3.12510i | ||||
\(821\) | −1.43533e10 | − | 1.65645e10i | −0.905210 | − | 1.04467i | −0.998796 | − | 0.0490568i | \(-0.984378\pi\) |
0.0935860 | − | 0.995611i | \(-0.470167\pi\) | |||||||
\(822\) | −8.65659e9 | − | 1.89553e10i | −0.543620 | − | 1.19036i | ||||
\(823\) | 6.48168e9 | − | 1.90319e9i | 0.405311 | − | 0.119010i | −0.0727215 | − | 0.997352i | \(-0.523168\pi\) |
0.478032 | + | 0.878342i | \(0.341350\pi\) | |||||||
\(824\) | −3.92008e10 | + | 8.58378e10i | −2.44090 | + | 5.34482i | ||||
\(825\) | 3.91808e9 | − | 2.72509e10i | 0.242932 | − | 1.68963i | ||||
\(826\) | 1.53892e9 | − | 9.89001e8i | 0.0950133 | − | 0.0610614i | ||||
\(827\) | −2.63373e10 | −1.61921 | −0.809603 | − | 0.586978i | \(-0.800317\pi\) | ||||
−0.809603 | + | 0.586978i | \(0.800317\pi\) | |||||||
\(828\) | 1.49028e10 | − | 1.17287e9i | 0.912348 | − | 0.0718033i | ||||
\(829\) | 7.56962e9 | 0.461459 | 0.230730 | − | 0.973018i | \(-0.425889\pi\) | ||||
0.230730 | + | 0.973018i | \(0.425889\pi\) | |||||||
\(830\) | −6.46015e10 | + | 4.15169e10i | −3.92166 | + | 2.52030i | ||||
\(831\) | −1.39657e9 | + | 9.71333e9i | −0.0844224 | + | 0.587171i | ||||
\(832\) | 1.93413e10 | − | 4.23514e10i | 1.16427 | − | 2.54939i | ||||
\(833\) | −1.02159e10 | + | 2.99967e9i | −0.612379 | + | 0.179811i | ||||
\(834\) | 1.23797e10 | + | 2.71078e10i | 0.738975 | + | 1.61813i | ||||
\(835\) | −3.23155e9 | − | 3.72941e9i | −0.192092 | − | 0.221686i | ||||
\(836\) | −2.92854e9 | − | 2.03684e10i | −0.173352 | − | 1.20569i | ||||
\(837\) | 5.33329e9 | + | 1.56599e9i | 0.314381 | + | 0.0923105i | ||||
\(838\) | −8.89187e9 | + | 1.02618e10i | −0.521962 | + | 0.602377i | ||||
\(839\) | −1.06346e10 | − | 6.83442e9i | −0.621660 | − | 0.399517i | 0.191553 | − | 0.981482i | \(-0.438647\pi\) |
−0.813213 | + | 0.581966i | \(0.802284\pi\) | |||||||
\(840\) | −2.69190e10 | − | 1.72998e10i | −1.56704 | − | 1.00708i | ||||
\(841\) | 1.07535e10 | − | 1.24102e10i | 0.623397 | − | 0.719438i | ||||
\(842\) | 6.24015e9 | + | 1.83227e9i | 0.360249 | + | 0.105779i | ||||
\(843\) | −1.39875e9 | − | 9.72854e9i | −0.0804164 | − | 0.559308i | ||||
\(844\) | −2.52416e10 | − | 2.91304e10i | −1.44517 | − | 1.66782i | ||||
\(845\) | −5.93463e9 | − | 1.29950e10i | −0.338373 | − | 0.740933i | ||||
\(846\) | 1.33486e10 | − | 3.91949e9i | 0.757945 | − | 0.222553i | ||||
\(847\) | 5.62187e9 | − | 1.23102e10i | 0.317899 | − | 0.696101i | ||||
\(848\) | 1.54721e10 | − | 1.07611e11i | 0.871293 | − | 6.05997i | ||||
\(849\) | −4.35346e9 | + | 2.79780e9i | −0.244150 | + | 0.156906i | ||||
\(850\) | −6.17706e10 | −3.44997 | ||||||||
\(851\) | −9.01840e8 | − | 1.62392e9i | −0.0501622 | − | 0.0903259i | ||||
\(852\) | −2.54104e10 | −1.40758 | ||||||||
\(853\) | −1.24190e9 | + | 7.98119e8i | −0.0685116 | + | 0.0440297i | −0.574448 | − | 0.818541i | \(-0.694783\pi\) |
0.505937 | + | 0.862571i | \(0.331147\pi\) | |||||||
\(854\) | 2.13236e9 | − | 1.48309e10i | 0.117154 | − | 0.814825i | ||||
\(855\) | 1.24661e9 | − | 2.72971e9i | 0.0682104 | − | 0.149360i | ||||
\(856\) | −9.27226e10 | + | 2.72258e10i | −5.05274 | + | 1.48362i | ||||
\(857\) | 5.42475e9 | + | 1.18786e10i | 0.294406 | + | 0.644660i | 0.997811 | − | 0.0661296i | \(-0.0210651\pi\) |
−0.703405 | + | 0.710790i | \(0.748338\pi\) | |||||||
\(858\) | 1.50757e10 | + | 1.73983e10i | 0.814840 | + | 0.940376i | ||||
\(859\) | 2.02356e9 | + | 1.40742e10i | 0.108928 | + | 0.757612i | 0.968933 | + | 0.247325i | \(0.0795516\pi\) |
−0.860004 | + | 0.510287i | \(0.829539\pi\) | |||||||
\(860\) | 8.04799e9 | + | 2.36310e9i | 0.431462 | + | 0.126689i | ||||
\(861\) | −2.66269e9 | + | 3.07291e9i | −0.142171 | + | 0.164074i | ||||
\(862\) | −1.91507e10 | − | 1.23074e10i | −1.01838 | − | 0.654471i | ||||
\(863\) | 2.86087e10 | + | 1.83857e10i | 1.51517 | + | 0.973738i | 0.992638 | + | 0.121115i | \(0.0386470\pi\) |
0.522527 | + | 0.852623i | \(0.324989\pi\) | |||||||
\(864\) | 9.46444e9 | − | 1.09225e10i | 0.499226 | − | 0.576137i | ||||
\(865\) | 2.99625e9 | + | 8.79779e8i | 0.157406 | + | 0.0462187i | ||||
\(866\) | −3.26893e9 | − | 2.27359e10i | −0.171038 | − | 1.18960i | ||||
\(867\) | −1.00621e9 | − | 1.16122e9i | −0.0524349 | − | 0.0605131i | ||||
\(868\) | 2.09078e10 | + | 4.57816e10i | 1.08515 | + | 2.37614i | ||||
\(869\) | 6.88748e9 | − | 2.02235e9i | 0.356033 | − | 0.104541i | ||||
\(870\) | 3.37736e9 | − | 7.39539e9i | 0.173884 | − | 0.380753i | ||||
\(871\) | −2.90431e9 | + | 2.01999e10i | −0.148929 | + | 1.03582i | ||||
\(872\) | −4.13738e9 | + | 2.65894e9i | −0.211309 | + | 0.135800i | ||||
\(873\) | 2.20697e9 | 0.112265 | ||||||||
\(874\) | −6.53492e9 | + | 8.86080e9i | −0.331093 | + | 0.448935i | ||||
\(875\) | 1.74271e10 | 0.879420 | ||||||||
\(876\) | 5.77684e9 | − | 3.71255e9i | 0.290353 | − | 0.186598i | ||||
\(877\) | −2.23912e9 | + | 1.55734e10i | −0.112093 | + | 0.779626i | 0.853784 | + | 0.520627i | \(0.174302\pi\) |
−0.965878 | + | 0.258999i | \(0.916607\pi\) | |||||||
\(878\) | 2.67620e10 | − | 5.86005e10i | 1.33440 | − | 2.92194i | ||||
\(879\) | 2.13153e10 | − | 6.25874e9i | 1.05860 | − | 0.310832i | ||||
\(880\) | 8.37800e10 | + | 1.83453e11i | 4.14430 | + | 9.07475i | ||||
\(881\) | 4.11861e9 | + | 4.75313e9i | 0.202925 | + | 0.234187i | 0.848086 | − | 0.529859i | \(-0.177755\pi\) |
−0.645161 | + | 0.764047i | \(0.723210\pi\) | |||||||
\(882\) | 1.28654e9 | + | 8.94805e9i | 0.0631367 | + | 0.439125i | ||||
\(883\) | −2.55064e10 | − | 7.48935e9i | −1.24677 | − | 0.366085i | −0.409216 | − | 0.912438i | \(-0.634198\pi\) |
−0.837555 | + | 0.546353i | \(0.816016\pi\) | |||||||
\(884\) | 2.47941e10 | − | 2.86139e10i | 1.20716 | − | 1.39314i | ||||
\(885\) | −1.78744e9 | − | 1.14872e9i | −0.0866824 | − | 0.0557074i | ||||
\(886\) | −3.65320e9 | − | 2.34777e9i | −0.176464 | − | 0.113406i | ||||
\(887\) | 2.16631e10 | − | 2.50006e10i | 1.04229 | − | 1.20287i | 0.0635036 | − | 0.997982i | \(-0.479773\pi\) |
0.978786 | − | 0.204885i | \(-0.0656820\pi\) | |||||||
\(888\) | −4.03448e9 | − | 1.18463e9i | −0.193349 | − | 0.0567724i | ||||
\(889\) | 1.06932e9 | + | 7.43728e9i | 0.0510448 | + | 0.355024i | ||||
\(890\) | −1.63316e10 | − | 1.88477e10i | −0.776542 | − | 0.896177i | ||||
\(891\) | 1.50013e9 | + | 3.28482e9i | 0.0710486 | + | 0.155575i | ||||
\(892\) | 5.06950e10 | − | 1.48854e10i | 2.39160 | − | 0.702236i | ||||
\(893\) | −3.12007e9 | + | 6.83200e9i | −0.146617 | + | 0.321046i | ||||
\(894\) | −4.60524e8 | + | 3.20302e9i | −0.0215562 | + | 0.149926i | ||||
\(895\) | 8.70428e9 | − | 5.59390e9i | 0.405837 | − | 0.260816i | ||||
\(896\) | 4.25505e10 | 1.97618 | ||||||||
\(897\) | 5.79785e8 | − | 9.01007e9i | 0.0268221 | − | 0.416826i | ||||
\(898\) | 9.27017e9 | 0.427190 | ||||||||
\(899\) | −6.83936e9 | + | 4.39539e9i | −0.313947 | + | 0.201762i | ||||
\(900\) | −5.47116e9 | + | 3.80528e10i | −0.250167 | + | 1.73995i | ||||
\(901\) | 1.36650e10 | − | 2.99222e10i | 0.622406 | − | 1.36288i | ||||
\(902\) | 4.23907e10 | − | 1.24470e10i | 1.92330 | − | 0.564733i | ||||
\(903\) | 2.84214e8 | + | 6.22341e8i | 0.0128451 | + | 0.0281269i | ||||
\(904\) | 2.63725e9 | + | 3.04355e9i | 0.118730 | + | 0.137022i | ||||
\(905\) | 1.29254e9 | + | 8.98983e9i | 0.0579662 | + | 0.403164i | ||||
\(906\) | 7.79787e9 | + | 2.28966e9i | 0.348359 | + | 0.102287i | ||||
\(907\) | 1.09549e10 | − | 1.26427e10i | 0.487511 | − | 0.562618i | −0.457688 | − | 0.889113i | \(-0.651322\pi\) |
0.945199 | + | 0.326495i | \(0.105868\pi\) | |||||||
\(908\) | 5.07255e10 | + | 3.25993e10i | 2.24867 | + | 1.44513i | ||||
\(909\) | −1.09146e10 | − | 7.01440e9i | −0.481987 | − | 0.309754i | ||||
\(910\) | −1.99067e10 | + | 2.29736e10i | −0.875698 | + | 1.01061i | ||||
\(911\) | −3.03400e10 | − | 8.90862e9i | −1.32954 | − | 0.390388i | −0.461612 | − | 0.887082i | \(-0.652729\pi\) |
−0.867926 | + | 0.496694i | \(0.834547\pi\) | |||||||
\(912\) | 2.05738e9 | + | 1.43094e10i | 0.0898116 | + | 0.624654i | ||||
\(913\) | 3.26701e10 | + | 3.77033e10i | 1.42070 | + | 1.63957i | ||||
\(914\) | 5.20259e9 | + | 1.13921e10i | 0.225376 | + | 0.493505i | ||||
\(915\) | −1.66982e10 | + | 4.90303e9i | −0.720602 | + | 0.211588i | ||||
\(916\) | −1.04214e10 | + | 2.28197e10i | −0.448015 | + | 0.981016i | ||||
\(917\) | 2.50972e9 | − | 1.74555e10i | 0.107481 | − | 0.747548i | ||||
\(918\) | 6.81602e9 | − | 4.38039e9i | 0.290791 | − | 0.186880i | ||||
\(919\) | 2.86136e10 | 1.21610 | 0.608048 | − | 0.793901i | \(-0.291953\pi\) | ||||
0.608048 | + | 0.793901i | \(0.291953\pi\) | |||||||
\(920\) | 4.67392e10 | − | 1.28099e11i | 1.97890 | − | 5.42359i | ||||
\(921\) | −2.66253e10 | −1.12302 | ||||||||
\(922\) | −7.78279e9 | + | 5.00169e9i | −0.327022 | + | 0.210164i | ||||
\(923\) | −2.18413e9 | + | 1.51910e10i | −0.0914267 | + | 0.635887i | ||||
\(924\) | −1.35831e10 | + | 2.97429e10i | −0.566432 | + | 1.24031i | ||||
\(925\) | 4.58354e9 | − | 1.34585e9i | 0.190417 | − | 0.0559114i | ||||
\(926\) | 4.36291e9 | + | 9.55344e9i | 0.180567 | + | 0.395386i | ||||
\(927\) | 9.20867e9 | + | 1.06274e10i | 0.379680 | + | 0.438174i | ||||
\(928\) | 3.00837e9 | + | 2.09237e10i | 0.123570 | + | 0.859449i | ||||
\(929\) | 3.08689e10 | + | 9.06391e9i | 1.26318 | + | 0.370903i | 0.843677 | − | 0.536850i | \(-0.180386\pi\) |
0.419503 | + | 0.907754i | \(0.362204\pi\) | |||||||
\(930\) | 5.22252e10 | − | 6.02711e10i | 2.12907 | − | 2.45708i | ||||
\(931\) | −4.10571e9 | − | 2.63858e9i | −0.166749 | − | 0.107163i | ||||
\(932\) | −9.80180e10 | − | 6.29924e10i | −3.96598 | − | 2.54878i | ||||
\(933\) | −8.56260e8 | + | 9.88177e8i | −0.0345160 | + | 0.0398336i | ||||
\(934\) | −4.61203e10 | − | 1.35421e10i | −1.85216 | − | 0.543843i | ||||
\(935\) | 8.68435e9 | + | 6.04010e10i | 0.347454 | + | 2.41659i | ||||
\(936\) | −1.33839e10 | − | 1.54459e10i | −0.533479 | − | 0.615668i | ||||
\(937\) | 1.87178e9 | + | 4.09863e9i | 0.0743303 | + | 0.162761i | 0.943149 | − | 0.332369i | \(-0.107848\pi\) |
−0.868819 | + | 0.495130i | \(0.835121\pi\) | |||||||
\(938\) | −3.79412e10 | + | 1.11405e10i | −1.50107 | + | 0.440754i | ||||
\(939\) | −8.14011e9 | + | 1.78244e10i | −0.320849 | + | 0.702562i | ||||
\(940\) | 2.08225e10 | − | 1.44823e11i | 0.817683 | − | 5.68711i | ||||
\(941\) | 5.54683e9 | − | 3.56473e9i | 0.217011 | − | 0.139464i | −0.427620 | − | 0.903959i | \(-0.640648\pi\) |
0.644630 | + | 0.764495i | \(0.277011\pi\) | |||||||
\(942\) | 3.18704e10 | 1.24225 | ||||||||
\(943\) | −1.52665e10 | − | 8.19519e9i | −0.592856 | − | 0.318250i | ||||
\(944\) | 1.02358e10 | 0.396021 | ||||||||
\(945\) | −4.01138e9 | + | 2.57796e9i | −0.154626 | + | 0.0993721i | ||||
\(946\) | 1.05796e9 | − | 7.35827e9i | 0.0406303 | − | 0.282590i | ||||
\(947\) | −1.74493e10 | + | 3.82086e10i | −0.667656 | + | 1.46196i | 0.207556 | + | 0.978223i | \(0.433449\pi\) |
−0.875212 | + | 0.483739i | \(0.839278\pi\) | |||||||
\(948\) | −9.61758e9 | + | 2.82398e9i | −0.366637 | + | 0.107654i | ||||
\(949\) | −1.72291e9 | − | 3.77265e9i | −0.0654383 | − | 0.143290i | ||||
\(950\) | −1.85420e10 | − | 2.13986e10i | −0.701655 | − | 0.809753i | ||||
\(951\) | 3.16942e9 | + | 2.20438e10i | 0.119495 | + | 0.831103i | ||||
\(952\) | 4.47524e10 | + | 1.31405e10i | 1.68108 | + | 0.493608i | ||||
\(953\) | −2.44939e10 | + | 2.82675e10i | −0.916712 | + | 1.05794i | 0.0814097 | + | 0.996681i | \(0.474058\pi\) |
−0.998122 | + | 0.0612614i | \(0.980488\pi\) | |||||||
\(954\) | −2.34958e10 | − | 1.50999e10i | −0.876137 | − | 0.563059i | ||||
\(955\) | −5.09546e9 | − | 3.27466e9i | −0.189309 | − | 0.121662i | ||||
\(956\) | 1.76770e10 | − | 2.04004e10i | 0.654344 | − | 0.755154i | ||||
\(957\) | −5.06784e9 | − | 1.48805e9i | −0.186909 | − | 0.0548815i | ||||
\(958\) | 1.54136e9 | + | 1.07204e10i | 0.0566403 | + | 0.393942i | ||||
\(959\) | −1.17063e10 | − | 1.35098e10i | −0.428603 | − | 0.494634i | ||||
\(960\) | −4.35290e10 | − | 9.53153e10i | −1.58792 | − | 3.47707i | ||||
\(961\) | −5.01202e10 | + | 1.47166e10i | −1.82172 | + | 0.534905i | ||||
\(962\) | −1.65938e9 | + | 3.63355e9i | −0.0600944 | + | 0.131588i | ||||
\(963\) | −2.04941e9 | + | 1.42540e10i | −0.0739499 | + | 0.514333i | ||||
\(964\) | −3.41818e10 | + | 2.19673e10i | −1.22893 | + | 0.789783i | ||||
\(965\) | −5.96687e10 | −2.13748 | ||||||||
\(966\) | 1.63474e10 | − | 6.23059e9i | 0.583485 | − | 0.222387i | ||||
\(967\) | 3.73595e9 | 0.132864 | 0.0664322 | − | 0.997791i | \(-0.478838\pi\) | ||||
0.0664322 | + | 0.997791i | \(0.478838\pi\) | |||||||
\(968\) | 1.09821e11 | − | 7.05779e10i | 3.89156 | − | 2.50095i | ||||
\(969\) | −6.22506e8 | + | 4.32962e9i | −0.0219791 | + | 0.152868i | ||||
\(970\) | 1.31539e10 | − | 2.88031e10i | 0.462758 | − | 1.01330i | ||||
\(971\) | 1.06729e9 | − | 3.13385e8i | 0.0374124 | − | 0.0109853i | −0.262973 | − | 0.964803i | \(-0.584703\pi\) |
0.300385 | + | 0.953818i | \(0.402885\pi\) | |||||||
\(972\) | −2.09476e9 | − | 4.58688e9i | −0.0731647 | − | 0.160208i | ||||
\(973\) | 1.67411e10 | + | 1.93203e10i | 0.582625 | + | 0.672385i | ||||
\(974\) | −1.07130e10 | − | 7.45103e10i | −0.371495 | − | 2.58381i | ||||
\(975\) | 2.22787e10 | + | 6.54161e9i | 0.769791 | + | 0.226031i | ||||
\(976\) | 5.49024e10 | − | 6.33607e10i | 1.89024 | − | 2.18145i | ||||
\(977\) | −5.45044e9 | − | 3.50278e9i | −0.186982 | − | 0.120166i | 0.443801 | − | 0.896125i | \(-0.353630\pi\) |
−0.630783 | + | 0.775959i | \(0.717266\pi\) | |||||||
\(978\) | 2.98044e10 | + | 1.91541e10i | 1.01881 | + | 0.654752i | ||||
\(979\) | −1.06100e10 | + | 1.22446e10i | −0.361389 | + | 0.417066i | ||||
\(980\) | 9.12228e10 | + | 2.67854e10i | 3.09608 | + | 0.909091i | ||||
\(981\) | 1.04300e8 | + | 7.25423e8i | 0.00352731 | + | 0.0245330i | ||||
\(982\) | 3.05757e10 | + | 3.52862e10i | 1.03035 | + | 1.18909i | ||||
\(983\) | −1.91521e9 | − | 4.19373e9i | −0.0643102 | − | 0.140820i | 0.874748 | − | 0.484579i | \(-0.161027\pi\) |
−0.939058 | + | 0.343759i | \(0.888300\pi\) | |||||||
\(984\) | −3.76336e10 | + | 1.10502e10i | −1.25919 | + | 0.369733i | ||||
\(985\) | −1.99982e10 | + | 4.37899e10i | −0.666751 | + | 1.45998i | ||||
\(986\) | −1.68651e9 | + | 1.17299e10i | −0.0560299 | + | 0.389697i | ||||
\(987\) | 1.00398e10 | − | 6.45220e9i | 0.332365 | − | 0.213598i | ||||
\(988\) | 1.73550e10 | 0.572500 | ||||||||
\(989\) | −2.32146e9 | + | 1.76382e9i | −0.0763086 | + | 0.0579787i | ||||
\(990\) | 5.18111e10 | 1.69707 | ||||||||
\(991\) | −3.81732e10 | + | 2.45325e10i | −1.24595 | + | 0.800725i | −0.986297 | − | 0.164977i | \(-0.947245\pi\) |
−0.259654 | + | 0.965702i | \(0.583609\pi\) | |||||||
\(992\) | −2.95099e10 | + | 2.05246e11i | −0.959790 | + | 6.67549i | ||||
\(993\) | −6.52746e9 | + | 1.42931e10i | −0.211554 | + | 0.463239i | ||||
\(994\) | −2.85330e10 | + | 8.37804e9i | −0.921499 | + | 0.270576i | ||||
\(995\) | 1.28972e10 | + | 2.82408e10i | 0.415062 | + | 0.908859i | ||||
\(996\) | −4.56201e10 | − | 5.26484e10i | −1.46301 | − | 1.68841i | ||||
\(997\) | −2.74568e9 | − | 1.90966e10i | −0.0877439 | − | 0.610272i | −0.985487 | − | 0.169752i | \(-0.945703\pi\) |
0.897743 | − | 0.440520i | \(-0.145206\pi\) | |||||||
\(998\) | 1.57886e10 | + | 4.63596e9i | 0.502791 | + | 0.147633i | ||||
\(999\) | −4.10327e8 | + | 4.73543e8i | −0.0130212 | + | 0.0150273i |
(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.b.58.14 | yes | 140 | |
23.2 | even | 11 | inner | 69.8.e.b.25.14 | ✓ | 140 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
69.8.e.b.25.14 | ✓ | 140 | 23.2 | even | 11 | inner | |
69.8.e.b.58.14 | yes | 140 | 1.1 | even | 1 | trivial |