Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [72,8,Mod(11,72)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(72, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 3, 1]))
N = Newforms(chi, 8, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("72.11");
S:= CuspForms(chi, 8);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 72 = 2^{3} \cdot 3^{2} \) |
Weight: | \( k \) | \(=\) | \( 8 \) |
Character orbit: | \([\chi]\) | \(=\) | 72.l (of order \(6\), degree \(2\), 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: | \(22.4917218349\) |
Analytic rank: | \(0\) |
Dimension: | \(160\) |
Relative dimension: | \(80\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 11.35 | ||
Character | \(\chi\) | \(=\) | 72.11 |
Dual form | 72.8.l.b.59.35 |
$q$-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 \(\left(\mathbb{Z}/72\mathbb{Z}\right)^\times\).
\(n\) | \(37\) | \(55\) | \(65\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{1}{6}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −3.29566 | − | 10.8231i | −0.291298 | − | 0.956632i | ||||
\(3\) | 44.4541 | − | 14.5199i | 0.950578 | − | 0.310485i | ||||
\(4\) | −106.277 | + | 71.3383i | −0.830291 | + | 0.557330i | ||||
\(5\) | 211.100 | + | 365.636i | 0.755255 | + | 1.30814i | 0.945247 | + | 0.326355i | \(0.105821\pi\) |
−0.189992 | + | 0.981786i | \(0.560846\pi\) | |||||||
\(6\) | −303.656 | − | 433.277i | −0.573922 | − | 0.818910i | ||||
\(7\) | −1251.64 | − | 722.637i | −1.37923 | − | 0.796300i | −0.387166 | − | 0.922010i | \(-0.626546\pi\) |
−0.992067 | + | 0.125710i | \(0.959879\pi\) | |||||||
\(8\) | 1122.35 | + | 915.138i | 0.775022 | + | 0.631934i | ||||
\(9\) | 1765.34 | − | 1290.94i | 0.807198 | − | 0.590280i | ||||
\(10\) | 3261.59 | − | 3489.77i | 1.03141 | − | 1.10356i | ||||
\(11\) | 1108.65 | + | 640.081i | 0.251143 | + | 0.144998i | 0.620288 | − | 0.784374i | \(-0.287016\pi\) |
−0.369144 | + | 0.929372i | \(0.620349\pi\) | |||||||
\(12\) | −3688.64 | + | 4714.42i | −0.616214 | + | 0.787579i | ||||
\(13\) | −9420.66 | + | 5439.02i | −1.18927 | + | 0.686624i | −0.958140 | − | 0.286299i | \(-0.907575\pi\) |
−0.231128 | + | 0.972923i | \(0.574242\pi\) | |||||||
\(14\) | −3696.15 | + | 15928.2i | −0.359999 | + | 1.55138i | ||||
\(15\) | 14693.3 | + | 13188.9i | 1.12409 | + | 1.00899i | ||||
\(16\) | 6205.70 | − | 15163.3i | 0.378766 | − | 0.925493i | ||||
\(17\) | 36042.7i | 1.77929i | 0.456654 | + | 0.889645i | \(0.349048\pi\) | ||||
−0.456654 | + | 0.889645i | \(0.650952\pi\) | |||||||
\(18\) | −19789.9 | − | 14851.9i | −0.799817 | − | 0.600244i | ||||
\(19\) | −6546.42 | −0.218961 | −0.109480 | − | 0.993989i | \(-0.534919\pi\) | ||||
−0.109480 | + | 0.993989i | \(0.534919\pi\) | |||||||
\(20\) | −48519.0 | − | 23799.3i | −1.35615 | − | 0.665211i | ||||
\(21\) | −66133.4 | − | 13950.4i | −1.55831 | − | 0.328715i | ||||
\(22\) | 3273.89 | − | 14108.5i | 0.0655519 | − | 0.282489i | ||||
\(23\) | 36171.2 | + | 62650.3i | 0.619891 | + | 1.07368i | 0.989505 | + | 0.144498i | \(0.0461566\pi\) |
−0.369614 | + | 0.929185i | \(0.620510\pi\) | |||||||
\(24\) | 63181.0 | + | 24385.2i | 0.932925 | + | 0.360070i | ||||
\(25\) | −50064.2 | + | 86713.7i | −0.640822 | + | 1.10994i | ||||
\(26\) | 89914.2 | + | 84035.2i | 1.00328 | + | 0.937680i | ||||
\(27\) | 59732.4 | − | 83020.5i | 0.584032 | − | 0.811731i | ||||
\(28\) | 184573. | − | 12490.3i | 1.58897 | − | 0.107527i | ||||
\(29\) | −57572.1 | + | 99717.9i | −0.438348 | + | 0.759242i | −0.997562 | − | 0.0697818i | \(-0.977770\pi\) |
0.559214 | + | 0.829023i | \(0.311103\pi\) | |||||||
\(30\) | 94320.0 | − | 202493.i | 0.637793 | − | 1.36926i | ||||
\(31\) | −29420.0 | + | 16985.6i | −0.177369 | + | 0.102404i | −0.586056 | − | 0.810271i | \(-0.699320\pi\) |
0.408687 | + | 0.912675i | \(0.365987\pi\) | |||||||
\(32\) | −184565. | − | 17191.7i | −0.995690 | − | 0.0927455i | ||||
\(33\) | 58578.2 | + | 12356.7i | 0.283751 | + | 0.0598554i | ||||
\(34\) | 390093. | − | 118785.i | 1.70213 | − | 0.518303i | ||||
\(35\) | − | 610195.i | − | 2.40564i | ||||||
\(36\) | −95522.1 | + | 263134.i | −0.341228 | + | 0.939980i | ||||
\(37\) | 310900.i | 1.00905i | 0.863396 | + | 0.504527i | \(0.168333\pi\) | ||||
−0.863396 | + | 0.504527i | \(0.831667\pi\) | |||||||
\(38\) | 21574.8 | + | 70852.3i | 0.0637828 | + | 0.209465i | ||||
\(39\) | −339813. | + | 378575.i | −0.917306 | + | 1.02194i | ||||
\(40\) | −97678.9 | + | 603559.i | −0.241319 | + | 1.49111i | ||||
\(41\) | 551241. | − | 318259.i | 1.24910 | − | 0.721169i | 0.278172 | − | 0.960531i | \(-0.410272\pi\) |
0.970930 | + | 0.239362i | \(0.0769382\pi\) | |||||||
\(42\) | 66967.1 | + | 761741.i | 0.139473 | + | 1.58648i | ||||
\(43\) | −83929.4 | + | 145370.i | −0.160981 | + | 0.278827i | −0.935221 | − | 0.354065i | \(-0.884799\pi\) |
0.774240 | + | 0.632892i | \(0.218132\pi\) | |||||||
\(44\) | −163487. | + | 11063.3i | −0.289333 | + | 0.0195795i | ||||
\(45\) | 844680. | + | 372955.i | 1.38181 | + | 0.610116i | ||||
\(46\) | 558860. | − | 597957.i | 0.846547 | − | 0.905770i | ||||
\(47\) | −35601.9 | + | 61664.3i | −0.0500185 | + | 0.0866346i | −0.889951 | − | 0.456057i | \(-0.849261\pi\) |
0.839932 | + | 0.542691i | \(0.182595\pi\) | |||||||
\(48\) | 55699.4 | − | 764177.i | 0.0726952 | − | 0.997354i | ||||
\(49\) | 632636. | + | 1.09576e6i | 0.768189 | + | 1.33054i | ||||
\(50\) | 1.10350e6 | + | 256069.i | 1.24847 | + | 0.289709i | ||||
\(51\) | 523338. | + | 1.60225e6i | 0.552442 | + | 1.69135i | ||||
\(52\) | 613192. | − | 1.25010e6i | 0.604762 | − | 1.23291i | ||||
\(53\) | 31114.2 | 0.0287073 | 0.0143537 | − | 0.999897i | \(-0.495431\pi\) | ||||
0.0143537 | + | 0.999897i | \(0.495431\pi\) | |||||||
\(54\) | −1.09539e6 | − | 372880.i | −0.946655 | − | 0.322248i | ||||
\(55\) | 540485.i | 0.438041i | ||||||||
\(56\) | −743473. | − | 1.95648e6i | −0.565727 | − | 1.48873i | ||||
\(57\) | −291016. | + | 95053.6i | −0.208139 | + | 0.0679840i | ||||
\(58\) | 1.26899e6 | + | 294470.i | 0.854005 | + | 0.198173i | ||||
\(59\) | 267644. | − | 154524.i | 0.169658 | − | 0.0979522i | −0.412766 | − | 0.910837i | \(-0.635437\pi\) |
0.582425 | + | 0.812885i | \(0.302104\pi\) | |||||||
\(60\) | −2.50244e6 | − | 353484.i | −1.49566 | − | 0.211271i | ||||
\(61\) | −1.05466e6 | − | 608911.i | −0.594922 | − | 0.343478i | 0.172120 | − | 0.985076i | \(-0.444938\pi\) |
−0.767041 | + | 0.641598i | \(0.778272\pi\) | |||||||
\(62\) | 280795. | + | 262435.i | 0.149630 | + | 0.139846i | ||||
\(63\) | −3.14246e6 | + | 340099.i | −1.58335 | + | 0.171362i | ||||
\(64\) | 422197. | + | 2.05421e6i | 0.201319 | + | 0.979526i | ||||
\(65\) | −3.97741e6 | − | 2.29636e6i | −1.79640 | − | 1.03715i | ||||
\(66\) | −59316.7 | − | 674719.i | −0.0253965 | − | 0.288881i | ||||
\(67\) | −1.62901e6 | − | 2.82152e6i | −0.661700 | − | 1.14610i | −0.980169 | − | 0.198165i | \(-0.936502\pi\) |
0.318468 | − | 0.947934i | \(-0.396832\pi\) | |||||||
\(68\) | −2.57123e6 | − | 3.83052e6i | −0.991652 | − | 1.47733i | ||||
\(69\) | 2.51764e6 | + | 2.25986e6i | 0.922617 | + | 0.828153i | ||||
\(70\) | −6.60418e6 | + | 2.01100e6i | −2.30131 | + | 0.700758i | ||||
\(71\) | 790644. | 0.262166 | 0.131083 | − | 0.991371i | \(-0.458155\pi\) | ||||
0.131083 | + | 0.991371i | \(0.458155\pi\) | |||||||
\(72\) | 3.16273e6 | + | 166639.i | 0.998615 | + | 0.0526155i | ||||
\(73\) | −394829. | −0.118790 | −0.0593949 | − | 0.998235i | \(-0.518917\pi\) | ||||
−0.0593949 | + | 0.998235i | \(0.518917\pi\) | |||||||
\(74\) | 3.36489e6 | − | 1.02462e6i | 0.965294 | − | 0.293935i | ||||
\(75\) | −966483. | + | 4.58171e6i | −0.264533 | + | 1.25405i | ||||
\(76\) | 695735. | − | 467010.i | 0.181801 | − | 0.122033i | ||||
\(77\) | −925093. | − | 1.60231e6i | −0.230923 | − | 0.399971i | ||||
\(78\) | 5.21724e6 | + | 2.43017e6i | 1.24483 | + | 0.579835i | ||||
\(79\) | 1.88453e6 | + | 1.08803e6i | 0.430039 | + | 0.248283i | 0.699363 | − | 0.714766i | \(-0.253467\pi\) |
−0.269324 | + | 0.963050i | \(0.586800\pi\) | |||||||
\(80\) | 6.85427e6 | − | 931940.i | 1.49674 | − | 0.203504i | ||||
\(81\) | 1.44990e6 | − | 4.55791e6i | 0.303138 | − | 0.952947i | ||||
\(82\) | −5.26124e6 | − | 4.91724e6i | −1.05376 | − | 0.984856i | ||||
\(83\) | −6.17252e6 | − | 3.56370e6i | −1.18492 | − | 0.684114i | −0.227772 | − | 0.973714i | \(-0.573144\pi\) |
−0.957147 | + | 0.289601i | \(0.906477\pi\) | |||||||
\(84\) | 8.02367e6 | − | 3.23523e6i | 1.47705 | − | 0.595563i | ||||
\(85\) | −1.31785e7 | + | 7.60863e6i | −2.32756 | + | 1.34382i | ||||
\(86\) | 1.84995e6 | + | 429283.i | 0.313629 | + | 0.0727778i | ||||
\(87\) | −1.11142e6 | + | 5.26882e6i | −0.180951 | + | 0.857819i | ||||
\(88\) | 658537. | + | 1.73297e6i | 0.103013 | + | 0.271082i | ||||
\(89\) | 6.66492e6i | 1.00214i | 0.865406 | + | 0.501072i | \(0.167061\pi\) | ||||
−0.865406 | + | 0.501072i | \(0.832939\pi\) | |||||||
\(90\) | 1.25274e6 | − | 1.03712e7i | 0.181138 | − | 1.49961i | ||||
\(91\) | 1.57218e7 | 2.18704 | ||||||||
\(92\) | −8.31354e6 | − | 4.07791e6i | −1.11309 | − | 0.545985i | ||||
\(93\) | −1.06121e6 | + | 1.18226e6i | −0.136808 | + | 0.152413i | ||||
\(94\) | 784728. | + | 182097.i | 0.0974478 | + | 0.0226128i | ||||
\(95\) | −1.38195e6 | − | 2.39361e6i | −0.165371 | − | 0.286431i | ||||
\(96\) | −8.45430e6 | + | 1.91563e6i | −0.975277 | + | 0.220985i | ||||
\(97\) | −5.22623e6 | + | 9.05209e6i | −0.581416 | + | 1.00704i | 0.413895 | + | 0.910324i | \(0.364168\pi\) |
−0.995312 | + | 0.0967183i | \(0.969165\pi\) | |||||||
\(98\) | 9.77450e6 | − | 1.04583e7i | 1.04907 | − | 1.12246i | ||||
\(99\) | 2.78346e6 | − | 301246.i | 0.288312 | − | 0.0312031i | ||||
\(100\) | −865324. | − | 1.27872e7i | −0.0865324 | − | 1.27872i | ||||
\(101\) | −7.74059e6 | + | 1.34071e7i | −0.747565 | + | 1.29482i | 0.201422 | + | 0.979505i | \(0.435444\pi\) |
−0.948987 | + | 0.315316i | \(0.897889\pi\) | |||||||
\(102\) | 1.56165e7 | − | 1.09446e7i | 1.45708 | − | 1.02117i | ||||
\(103\) | 1.02783e7 | − | 5.93420e6i | 0.926814 | − | 0.535096i | 0.0410115 | − | 0.999159i | \(-0.486942\pi\) |
0.885803 | + | 0.464062i | \(0.153609\pi\) | |||||||
\(104\) | −1.55508e7 | − | 2.51671e6i | −1.35561 | − | 0.219390i | ||||
\(105\) | −8.86000e6 | − | 2.71257e7i | −0.746915 | − | 2.28675i | ||||
\(106\) | −102542. | − | 336751.i | −0.00836239 | − | 0.0274624i | ||||
\(107\) | 2.12721e7i | 1.67868i | 0.543609 | + | 0.839339i | \(0.317058\pi\) | ||||
−0.543609 | + | 0.839339i | \(0.682942\pi\) | |||||||
\(108\) | −425656. | + | 1.30844e7i | −0.0325144 | + | 0.999471i | ||||
\(109\) | − | 1.76727e7i | − | 1.30710i | −0.756882 | − | 0.653551i | \(-0.773278\pi\) | ||
0.756882 | − | 0.653551i | \(-0.226722\pi\) | |||||||
\(110\) | 5.84971e6 | − | 1.78126e6i | 0.419044 | − | 0.127600i | ||||
\(111\) | 4.51425e6 | + | 1.38208e7i | 0.313296 | + | 0.959185i | ||||
\(112\) | −1.87249e7 | + | 1.44945e7i | −1.25938 | + | 0.974858i | ||||
\(113\) | 1.86655e7 | − | 1.07765e7i | 1.21693 | − | 0.702593i | 0.252668 | − | 0.967553i | \(-0.418692\pi\) |
0.964259 | + | 0.264960i | \(0.0853587\pi\) | |||||||
\(114\) | 1.98786e6 | + | 2.83641e6i | 0.125666 | + | 0.179309i | ||||
\(115\) | −1.52715e7 | + | 2.64510e7i | −0.936352 | + | 1.62181i | ||||
\(116\) | −995093. | − | 1.47048e7i | −0.0591917 | − | 0.874696i | ||||
\(117\) | −9.60923e6 | + | 2.17633e7i | −0.554674 | + | 1.25624i | ||||
\(118\) | −2.55449e6 | − | 2.38746e6i | −0.143125 | − | 0.133767i | ||||
\(119\) | 2.60458e7 | − | 4.51127e7i | 1.41685 | − | 2.45405i | ||||
\(120\) | 4.42140e6 | + | 2.82490e7i | 0.233575 | + | 1.49234i | ||||
\(121\) | −8.92418e6 | − | 1.54571e7i | −0.457951 | − | 0.793195i | ||||
\(122\) | −3.11446e6 | + | 1.34215e7i | −0.155283 | + | 0.669176i | ||||
\(123\) | 1.98838e7 | − | 2.21519e7i | 0.963457 | − | 1.07336i | ||||
\(124\) | 1.91495e6 | − | 3.90396e6i | 0.0901948 | − | 0.183878i | ||||
\(125\) | −9.28984e6 | −0.425425 | ||||||||
\(126\) | 1.40374e7 | + | 3.28902e7i | 0.625158 | + | 1.46477i | ||||
\(127\) | 1.07680e7i | 0.466470i | 0.972420 | + | 0.233235i | \(0.0749312\pi\) | ||||
−0.972420 | + | 0.233235i | \(0.925069\pi\) | |||||||
\(128\) | 2.08415e7 | − | 1.13395e7i | 0.878402 | − | 0.477922i | ||||
\(129\) | −1.62025e6 | + | 7.68095e6i | −0.0664534 | + | 0.315029i | ||||
\(130\) | −1.17454e7 | + | 5.06158e7i | −0.468886 | + | 2.02062i | ||||
\(131\) | 4.45365e6 | − | 2.57131e6i | 0.173088 | − | 0.0999322i | −0.410953 | − | 0.911656i | \(-0.634804\pi\) |
0.584041 | + | 0.811724i | \(0.301471\pi\) | |||||||
\(132\) | −7.10703e6 | + | 2.86563e6i | −0.268955 | + | 0.108446i | ||||
\(133\) | 8.19378e6 | + | 4.73068e6i | 0.301998 | + | 0.174359i | ||||
\(134\) | −2.51689e7 | + | 2.69296e7i | −0.903643 | + | 0.966860i | ||||
\(135\) | 4.29648e7 | + | 4.31469e6i | 1.50295 | + | 0.150932i | ||||
\(136\) | −3.29841e7 | + | 4.04526e7i | −1.12439 | + | 1.37899i | ||||
\(137\) | −1.77964e7 | − | 1.02747e7i | −0.591303 | − | 0.341389i | 0.174310 | − | 0.984691i | \(-0.444231\pi\) |
−0.765612 | + | 0.643302i | \(0.777564\pi\) | |||||||
\(138\) | 1.61614e7 | − | 3.46963e7i | 0.523481 | − | 1.12384i | ||||
\(139\) | 5.13760e6 | + | 8.89859e6i | 0.162259 | + | 0.281041i | 0.935678 | − | 0.352854i | \(-0.114789\pi\) |
−0.773420 | + | 0.633894i | \(0.781455\pi\) | |||||||
\(140\) | 4.35303e7 | + | 6.48499e7i | 1.34074 | + | 1.99738i | ||||
\(141\) | −687290. | + | 3.25817e6i | −0.0206478 | + | 0.0978830i | ||||
\(142\) | −2.60569e6 | − | 8.55718e6i | −0.0763685 | − | 0.250797i | ||||
\(143\) | −1.39257e7 | −0.398235 | ||||||||
\(144\) | −8.61973e6 | − | 3.47796e7i | −0.240561 | − | 0.970634i | ||||
\(145\) | −4.86140e7 | −1.32426 | ||||||||
\(146\) | 1.30122e6 | + | 4.27326e6i | 0.0346032 | + | 0.113638i | ||||
\(147\) | 4.40337e7 | + | 3.95252e7i | 1.14334 | + | 1.02627i | ||||
\(148\) | −2.21791e7 | − | 3.30416e7i | −0.562376 | − | 0.837808i | ||||
\(149\) | −1.32771e7 | − | 2.29966e7i | −0.328815 | − | 0.569524i | 0.653462 | − | 0.756959i | \(-0.273316\pi\) |
−0.982277 | + | 0.187435i | \(0.939983\pi\) | |||||||
\(150\) | 5.27734e7 | − | 4.63948e6i | 1.27672 | − | 0.112240i | ||||
\(151\) | −3.41288e7 | − | 1.97043e7i | −0.806682 | − | 0.465738i | 0.0391205 | − | 0.999235i | \(-0.487544\pi\) |
−0.845802 | + | 0.533497i | \(0.820878\pi\) | |||||||
\(152\) | −7.34739e6 | − | 5.99088e6i | −0.169699 | − | 0.138369i | ||||
\(153\) | 4.65291e7 | + | 6.36278e7i | 1.05028 | + | 1.43624i | ||||
\(154\) | −1.42931e7 | + | 1.52930e7i | −0.315358 | + | 0.337419i | ||||
\(155\) | −1.24211e7 | − | 7.17135e6i | −0.267917 | − | 0.154682i | ||||
\(156\) | 9.10756e6 | − | 6.44756e7i | 0.192073 | − | 1.35975i | ||||
\(157\) | 2.82576e7 | − | 1.63146e7i | 0.582757 | − | 0.336455i | −0.179472 | − | 0.983763i | \(-0.557439\pi\) |
0.762228 | + | 0.647308i | \(0.224105\pi\) | |||||||
\(158\) | 5.56508e6 | − | 2.39821e7i | 0.112246 | − | 0.483713i | ||||
\(159\) | 1.38315e6 | − | 451776.i | 0.0272886 | − | 0.00891320i | ||||
\(160\) | −3.26758e7 | − | 7.11128e7i | −0.630676 | − | 1.37255i | ||||
\(161\) | − | 1.04555e8i | − | 1.97448i | ||||||
\(162\) | −5.41090e7 | − | 671013.i | −0.999923 | − | 0.0124002i | ||||
\(163\) | 4.99451e7 | 0.903309 | 0.451654 | − | 0.892193i | \(-0.350834\pi\) | ||||
0.451654 | + | 0.892193i | \(0.350834\pi\) | |||||||
\(164\) | −3.58803e7 | + | 7.31483e7i | −0.635189 | + | 1.29494i | ||||
\(165\) | 7.84782e6 | + | 2.40268e7i | 0.136005 | + | 0.416392i | ||||
\(166\) | −1.82277e7 | + | 7.85503e7i | −0.309280 | + | 1.33281i | ||||
\(167\) | −2.16874e7 | − | 3.75637e7i | −0.360329 | − | 0.624109i | 0.627685 | − | 0.778467i | \(-0.284002\pi\) |
−0.988015 | + | 0.154358i | \(0.950669\pi\) | |||||||
\(168\) | −6.14584e7 | − | 7.61785e7i | −0.999997 | − | 1.23951i | ||||
\(169\) | 2.77917e7 | − | 4.81366e7i | 0.442906 | − | 0.767135i | ||||
\(170\) | 1.25781e8 | + | 1.17557e8i | 1.96355 | + | 1.83517i | ||||
\(171\) | −1.15567e7 | + | 8.45106e6i | −0.176745 | + | 0.129248i | ||||
\(172\) | −1.45066e6 | − | 2.14369e7i | −0.0217378 | − | 0.321227i | ||||
\(173\) | 4.27529e7 | − | 7.40502e7i | 0.627775 | − | 1.08734i | −0.360222 | − | 0.932867i | \(-0.617299\pi\) |
0.987997 | − | 0.154472i | \(-0.0493677\pi\) | |||||||
\(174\) | 6.06876e7 | − | 5.33524e6i | 0.873328 | − | 0.0767771i | ||||
\(175\) | 1.25325e8 | − | 7.23564e7i | 1.76768 | − | 1.02057i | ||||
\(176\) | 1.65857e7 | − | 1.28387e7i | 0.229319 | − | 0.177511i | ||||
\(177\) | 9.65419e6 | − | 1.07554e7i | 0.130861 | − | 0.145788i | ||||
\(178\) | 7.21348e7 | − | 2.19653e7i | 0.958683 | − | 0.291922i | ||||
\(179\) | 4.63883e7i | 0.604537i | 0.953223 | + | 0.302269i | \(0.0977440\pi\) | ||||
−0.953223 | + | 0.302269i | \(0.902256\pi\) | |||||||
\(180\) | −1.16376e8 | + | 2.06214e7i | −1.48734 | + | 0.263551i | ||||
\(181\) | − | 1.92853e7i | − | 0.241741i | −0.992668 | − | 0.120871i | \(-0.961431\pi\) | ||
0.992668 | − | 0.120871i | \(-0.0385686\pi\) | |||||||
\(182\) | −5.18136e7 | − | 1.70157e8i | −0.637079 | − | 2.09219i | ||||
\(183\) | −5.57255e7 | − | 1.17549e7i | −0.672164 | − | 0.141789i | ||||
\(184\) | −1.67369e7 | + | 1.03417e8i | −0.198067 | + | 1.22386i | ||||
\(185\) | −1.13676e8 | + | 6.56310e7i | −1.31998 | + | 0.762093i | ||||
\(186\) | 1.62930e7 | + | 7.58922e6i | 0.185655 | + | 0.0864772i | ||||
\(187\) | −2.30703e7 | + | 3.99589e7i | −0.257993 | + | 0.446856i | ||||
\(188\) | −615354. | − | 9.09329e6i | −0.00675417 | − | 0.0998087i | ||||
\(189\) | −1.34757e8 | + | 6.07472e7i | −1.45190 | + | 0.654500i | ||||
\(190\) | −2.13517e7 | + | 2.28455e7i | −0.225837 | + | 0.241636i | ||||
\(191\) | −1.51053e7 | + | 2.61631e7i | −0.156860 | + | 0.271689i | −0.933735 | − | 0.357966i | \(-0.883470\pi\) |
0.776875 | + | 0.629655i | \(0.216804\pi\) | |||||||
\(192\) | 4.85955e7 | + | 8.51881e7i | 0.495498 | + | 0.868609i | ||||
\(193\) | 3.30681e7 | + | 5.72756e7i | 0.331099 | + | 0.573481i | 0.982728 | − | 0.185057i | \(-0.0592471\pi\) |
−0.651628 | + | 0.758538i | \(0.725914\pi\) | |||||||
\(194\) | 1.15195e8 | + | 2.67311e7i | 1.13274 | + | 0.262852i | ||||
\(195\) | −2.10155e8 | − | 4.43309e7i | −2.02964 | − | 0.428140i | ||||
\(196\) | −1.45404e8 | − | 7.13230e7i | −1.37937 | − | 0.676602i | ||||
\(197\) | −1.40451e8 | −1.30886 | −0.654430 | − | 0.756123i | \(-0.727091\pi\) | ||||
−0.654430 | + | 0.756123i | \(0.727091\pi\) | |||||||
\(198\) | −1.24337e7 | − | 2.91328e7i | −0.113834 | − | 0.266719i | ||||
\(199\) | − | 2.02091e8i | − | 1.81786i | −0.416943 | − | 0.908932i | \(-0.636899\pi\) | ||
0.416943 | − | 0.908932i | \(-0.363101\pi\) | |||||||
\(200\) | −1.35545e8 | + | 5.15077e7i | −1.19806 | + | 0.455268i | ||||
\(201\) | −1.13385e8 | − | 1.01775e8i | −0.984844 | − | 0.884009i | ||||
\(202\) | 1.70616e8 | + | 3.95916e7i | 1.45643 | + | 0.337966i | ||||
\(203\) | 1.44120e8 | − | 8.32075e7i | 1.20917 | − | 0.698114i | ||||
\(204\) | −1.69921e8 | − | 1.32949e8i | −1.40133 | − | 1.09642i | ||||
\(205\) | 2.32734e8 | + | 1.34369e8i | 1.88678 | + | 1.08933i | ||||
\(206\) | −9.81001e7 | − | 9.16859e7i | −0.781870 | − | 0.730748i | ||||
\(207\) | 1.44733e8 | + | 6.39044e7i | 1.13415 | + | 0.500765i | ||||
\(208\) | 2.40115e7 | + | 1.76601e8i | 0.185011 | + | 1.36073i | ||||
\(209\) | −7.25771e6 | − | 4.19024e6i | −0.0549905 | − | 0.0317488i | ||||
\(210\) | −2.64384e8 | + | 1.85289e8i | −1.97000 | + | 1.38065i | ||||
\(211\) | 8.13034e6 | + | 1.40822e7i | 0.0595827 | + | 0.103200i | 0.894278 | − | 0.447512i | \(-0.147690\pi\) |
−0.834695 | + | 0.550712i | \(0.814356\pi\) | |||||||
\(212\) | −3.30673e6 | + | 2.21963e6i | −0.0238354 | + | 0.0159995i | ||||
\(213\) | 3.51474e7 | − | 1.14801e7i | 0.249209 | − | 0.0813986i | ||||
\(214\) | 2.30229e8 | − | 7.01057e7i | 1.60588 | − | 0.488995i | ||||
\(215\) | −7.08701e7 | −0.486327 | ||||||||
\(216\) | 1.43016e8 | − | 3.85148e7i | 0.965598 | − | 0.260040i | ||||
\(217\) | 4.90978e7 | 0.326177 | ||||||||
\(218\) | −1.91272e8 | + | 5.82431e7i | −1.25042 | + | 0.380756i | ||||
\(219\) | −1.75518e7 | + | 5.73289e6i | −0.112919 | + | 0.0368824i | ||||
\(220\) | −3.85573e7 | − | 5.74413e7i | −0.244133 | − | 0.363701i | ||||
\(221\) | −1.96037e8 | − | 3.39546e8i | −1.22170 | − | 2.11605i | ||||
\(222\) | 1.34706e8 | − | 9.44066e7i | 0.826325 | − | 0.579118i | ||||
\(223\) | 1.75402e8 | + | 1.01268e8i | 1.05917 | + | 0.611514i | 0.925203 | − | 0.379472i | \(-0.123894\pi\) |
0.133969 | + | 0.990985i | \(0.457228\pi\) | |||||||
\(224\) | 2.18586e8 | + | 1.54891e8i | 1.29943 | + | 0.920786i | ||||
\(225\) | 2.35620e7 | + | 2.17709e8i | 0.137903 | + | 1.27420i | ||||
\(226\) | −1.78150e8 | − | 1.66502e8i | −1.02661 | − | 0.959488i | ||||
\(227\) | 1.47107e8 | + | 8.49321e7i | 0.834722 | + | 0.481927i | 0.855467 | − | 0.517858i | \(-0.173270\pi\) |
−0.0207448 | + | 0.999785i | \(0.506604\pi\) | |||||||
\(228\) | 2.41474e7 | − | 3.08626e7i | 0.134927 | − | 0.172449i | ||||
\(229\) | −1.32305e7 | + | 7.63863e6i | −0.0728034 | + | 0.0420331i | −0.535960 | − | 0.844243i | \(-0.680050\pi\) |
0.463156 | + | 0.886277i | \(0.346717\pi\) | |||||||
\(230\) | 3.36611e8 | + | 7.81108e7i | 1.82423 | + | 0.423315i | ||||
\(231\) | −6.43896e7 | − | 5.77969e7i | −0.343696 | − | 0.308505i | ||||
\(232\) | −1.55872e8 | + | 5.92321e7i | −0.819520 | + | 0.311422i | ||||
\(233\) | 3.79428e7i | 0.196509i | 0.995161 | + | 0.0982547i | \(0.0313260\pi\) | ||||
−0.995161 | + | 0.0982547i | \(0.968674\pi\) | |||||||
\(234\) | 2.67214e8 | + | 3.22769e7i | 1.36334 | + | 0.164678i | ||||
\(235\) | −3.00623e7 | −0.151107 | ||||||||
\(236\) | −1.74209e7 | + | 3.55156e7i | −0.0862739 | + | 0.175884i | ||||
\(237\) | 9.95733e7 | + | 2.10043e7i | 0.485874 | + | 0.102492i | ||||
\(238\) | −5.74095e8 | − | 1.33219e8i | −2.76035 | − | 0.640542i | ||||
\(239\) | 1.24355e8 | + | 2.15390e8i | 0.589213 | + | 1.02055i | 0.994336 | + | 0.106284i | \(0.0338954\pi\) |
−0.405123 | + | 0.914262i | \(0.632771\pi\) | |||||||
\(240\) | 2.91169e8 | − | 1.40952e8i | 1.35958 | − | 0.658162i | ||||
\(241\) | 1.20758e8 | − | 2.09158e8i | 0.555718 | − | 0.962532i | −0.442129 | − | 0.896951i | \(-0.645777\pi\) |
0.997847 | − | 0.0655806i | \(-0.0208899\pi\) | |||||||
\(242\) | −1.37882e8 | + | 1.47528e8i | −0.625396 | + | 0.669147i | ||||
\(243\) | −1.72657e6 | − | 2.23671e8i | −0.00771904 | − | 0.999970i | ||||
\(244\) | 1.55525e8 | − | 1.05246e7i | 0.685389 | − | 0.0463811i | ||||
\(245\) | −2.67099e8 | + | 4.62630e8i | −1.16036 | + | 2.00980i | ||||
\(246\) | −3.05282e8 | − | 1.42199e8i | −1.30746 | − | 0.609008i | ||||
\(247\) | 6.16716e7 | − | 3.56061e7i | 0.260403 | − | 0.150344i | ||||
\(248\) | −4.85638e7 | − | 7.85948e6i | −0.202177 | − | 0.0327200i | ||||
\(249\) | −3.26139e8 | − | 6.87968e7i | −1.33877 | − | 0.282404i | ||||
\(250\) | 3.06162e7 | + | 1.00544e8i | 0.123925 | + | 0.406975i | ||||
\(251\) | 4.10195e8i | 1.63732i | 0.574280 | + | 0.818659i | \(0.305282\pi\) | ||||
−0.574280 | + | 0.818659i | \(0.694718\pi\) | |||||||
\(252\) | 3.09710e8 | − | 2.60323e8i | 1.21914 | − | 1.02473i | ||||
\(253\) | 9.26100e7i | 0.359531i | ||||||||
\(254\) | 1.16543e8 | − | 3.54878e7i | 0.446240 | − | 0.135882i | ||||
\(255\) | −4.75364e8 | + | 5.29587e8i | −1.79529 | + | 2.00008i | ||||
\(256\) | −1.91414e8 | − | 1.88197e8i | −0.713073 | − | 0.701090i | ||||
\(257\) | 1.98047e8 | − | 1.14342e8i | 0.727784 | − | 0.420186i | −0.0898271 | − | 0.995957i | \(-0.528631\pi\) |
0.817611 | + | 0.575771i | \(0.195298\pi\) | |||||||
\(258\) | 8.84711e7 | − | 7.77778e6i | 0.320725 | − | 0.0281960i | ||||
\(259\) | 2.24668e8 | − | 3.89136e8i | 0.803510 | − | 1.39172i | ||||
\(260\) | 5.86526e8 | − | 3.96909e7i | 2.06957 | − | 0.140050i | ||||
\(261\) | 2.70956e7 | + | 2.50359e8i | 0.0943314 | + | 0.871607i | ||||
\(262\) | −4.25072e7 | − | 3.97279e7i | −0.146018 | − | 0.136471i | ||||
\(263\) | 5.01016e7 | − | 8.67785e7i | 0.169827 | − | 0.294149i | −0.768532 | − | 0.639811i | \(-0.779012\pi\) |
0.938359 | + | 0.345663i | \(0.112346\pi\) | |||||||
\(264\) | 5.44373e7 | + | 6.74757e7i | 0.182089 | + | 0.225701i | ||||
\(265\) | 6.56822e6 | + | 1.13765e7i | 0.0216814 | + | 0.0375532i | ||||
\(266\) | 2.41965e7 | − | 1.04273e8i | 0.0788256 | − | 0.339691i | ||||
\(267\) | 9.67742e7 | + | 2.96283e8i | 0.311150 | + | 0.952616i | ||||
\(268\) | 3.74409e8 | + | 1.83653e8i | 1.18816 | + | 0.582810i | ||||
\(269\) | −1.17716e8 | −0.368724 | −0.184362 | − | 0.982858i | \(-0.559022\pi\) | ||||
−0.184362 | + | 0.982858i | \(0.559022\pi\) | |||||||
\(270\) | −9.48993e7 | − | 4.79231e8i | −0.293420 | − | 1.48174i | ||||
\(271\) | 6.42585e7i | 0.196127i | 0.995180 | + | 0.0980637i | \(0.0312649\pi\) | ||||
−0.995180 | + | 0.0980637i | \(0.968735\pi\) | |||||||
\(272\) | 5.46526e8 | + | 2.23670e8i | 1.64672 | + | 0.673934i | ||||
\(273\) | 6.98897e8 | − | 2.28279e8i | 2.07895 | − | 0.679042i | ||||
\(274\) | −5.25534e7 | + | 2.26473e8i | −0.154338 | + | 0.665105i | ||||
\(275\) | −1.11008e8 | + | 6.40903e7i | −0.321876 | + | 0.185835i | ||||
\(276\) | −4.28782e8 | − | 6.05681e7i | −1.22760 | − | 0.173405i | ||||
\(277\) | 4.00609e8 | + | 2.31292e8i | 1.13251 | + | 0.653855i | 0.944565 | − | 0.328325i | \(-0.106484\pi\) |
0.187945 | + | 0.982180i | \(0.439817\pi\) | |||||||
\(278\) | 7.93781e7 | − | 8.49313e7i | 0.221587 | − | 0.237089i | ||||
\(279\) | −3.00089e7 | + | 6.79650e7i | −0.0827246 | + | 0.187357i | ||||
\(280\) | 5.58413e8 | − | 6.84854e8i | 1.52021 | − | 1.86443i | ||||
\(281\) | 3.00950e8 | + | 1.73754e8i | 0.809138 | + | 0.467156i | 0.846657 | − | 0.532140i | \(-0.178612\pi\) |
−0.0375182 | + | 0.999296i | \(0.511945\pi\) | |||||||
\(282\) | 3.75285e7 | − | 3.29925e6i | 0.0996527 | − | 0.00876079i | ||||
\(283\) | −1.47111e6 | − | 2.54803e6i | −0.00385826 | − | 0.00668271i | 0.864090 | − | 0.503338i | \(-0.167895\pi\) |
−0.867948 | + | 0.496655i | \(0.834561\pi\) | |||||||
\(284\) | −8.40274e7 | + | 5.64032e7i | −0.217674 | + | 0.146113i | ||||
\(285\) | −9.61885e7 | − | 8.63400e7i | −0.246131 | − | 0.220930i | ||||
\(286\) | 4.58943e7 | + | 1.50718e8i | 0.116005 | + | 0.380965i | ||||
\(287\) | −9.19943e8 | −2.29707 | ||||||||
\(288\) | −3.48014e8 | + | 2.07914e8i | −0.858465 | + | 0.512872i | ||||
\(289\) | −8.88740e8 | −2.16587 | ||||||||
\(290\) | 1.60215e8 | + | 5.26152e8i | 0.385754 | + | 1.26683i | ||||
\(291\) | −1.00892e8 | + | 4.78288e8i | −0.240010 | + | 1.13779i | ||||
\(292\) | 4.19613e7 | − | 2.81664e7i | 0.0986301 | − | 0.0662051i | ||||
\(293\) | 7.36473e6 | + | 1.27561e7i | 0.0171049 | + | 0.0296265i | 0.874451 | − | 0.485114i | \(-0.161222\pi\) |
−0.857346 | + | 0.514740i | \(0.827888\pi\) | |||||||
\(294\) | 2.82663e8 | − | 6.06840e8i | 0.648714 | − | 1.39270i | ||||
\(295\) | 1.12999e8 | + | 6.52402e7i | 0.256271 | + | 0.147958i | ||||
\(296\) | −2.84516e8 | + | 3.48939e8i | −0.637655 | + | 0.782039i | ||||
\(297\) | 1.19362e8 | − | 5.38073e7i | 0.264375 | − | 0.119177i | ||||
\(298\) | −2.05137e8 | + | 2.19488e8i | −0.449042 | + | 0.480456i | ||||
\(299\) | −6.81513e8 | − | 3.93472e8i | −1.47443 | − | 0.851264i | ||||
\(300\) | −2.24136e8 | − | 5.55879e8i | −0.479279 | − | 1.18866i | ||||
\(301\) | 2.10099e8 | − | 1.21301e8i | 0.444060 | − | 0.256378i | ||||
\(302\) | −1.00784e8 | + | 4.34317e8i | −0.210555 | + | 0.907366i | ||||
\(303\) | −1.49431e8 | + | 7.08394e8i | −0.308597 | + | 1.46294i | ||||
\(304\) | −4.06251e7 | + | 9.92651e7i | −0.0829349 | + | 0.202647i | ||||
\(305\) | − | 5.14165e8i | − | 1.03765i | ||||||
\(306\) | 5.35303e8 | − | 7.13283e8i | 1.06801 | − | 1.42310i | ||||
\(307\) | −1.20135e8 | −0.236966 | −0.118483 | − | 0.992956i | \(-0.537803\pi\) | ||||
−0.118483 | + | 0.992956i | \(0.537803\pi\) | |||||||
\(308\) | 2.12622e8 | + | 1.04294e8i | 0.414649 | + | 0.203392i | ||||
\(309\) | 3.70751e8 | − | 4.13041e8i | 0.714870 | − | 0.796413i | ||||
\(310\) | −3.66801e7 | + | 1.58069e8i | −0.0699301 | + | 0.301357i | ||||
\(311\) | 1.99189e7 | + | 3.45006e7i | 0.0375495 | + | 0.0650377i | 0.884189 | − | 0.467129i | \(-0.154711\pi\) |
−0.846640 | + | 0.532166i | \(0.821378\pi\) | |||||||
\(312\) | −7.27838e8 | + | 1.13918e8i | −1.35673 | + | 0.212349i | ||||
\(313\) | −4.66910e8 | + | 8.08712e8i | −0.860653 | + | 1.49069i | 0.0106465 | + | 0.999943i | \(0.496611\pi\) |
−0.871300 | + | 0.490751i | \(0.836722\pi\) | |||||||
\(314\) | −2.69701e8 | − | 2.52067e8i | −0.491619 | − | 0.459475i | ||||
\(315\) | −7.87728e8 | − | 1.07720e9i | −1.42000 | − | 1.94183i | ||||
\(316\) | −2.77901e8 | + | 1.88059e7i | −0.495433 | + | 0.0335265i | ||||
\(317\) | 1.20941e8 | − | 2.09475e8i | 0.213238 | − | 0.369339i | −0.739488 | − | 0.673170i | \(-0.764932\pi\) |
0.952726 | + | 0.303831i | \(0.0982657\pi\) | |||||||
\(318\) | −9.44801e6 | − | 1.34811e7i | −0.0164758 | − | 0.0235087i | ||||
\(319\) | −1.27655e8 | + | 7.37017e7i | −0.220176 | + | 0.127119i | ||||
\(320\) | −6.61970e8 | + | 5.88016e8i | −1.12931 | + | 1.00315i | ||||
\(321\) | 3.08870e8 | + | 9.45633e8i | 0.521204 | + | 1.59571i | ||||
\(322\) | −1.13160e9 | + | 3.44576e8i | −1.88885 | + | 0.575162i | ||||
\(323\) | − | 2.35951e8i | − | 0.389594i | ||||||
\(324\) | 1.71062e8 | + | 5.87836e8i | 0.279413 | + | 0.960171i | ||||
\(325\) | − | 1.08920e9i | − | 1.76001i | ||||||
\(326\) | −1.64602e8 | − | 5.40559e8i | −0.263132 | − | 0.864134i | ||||
\(327\) | −2.56606e8 | − | 7.85624e8i | −0.405835 | − | 1.24250i | ||||
\(328\) | 9.09937e8 | + | 1.47263e8i | 1.42381 | + | 0.230428i | ||||
\(329\) | 8.91218e7 | − | 5.14545e7i | 0.137974 | − | 0.0796595i | ||||
\(330\) | 2.34180e8 | − | 1.64122e8i | 0.358716 | − | 0.251401i | ||||
\(331\) | 4.45987e8 | − | 7.72472e8i | 0.675965 | − | 1.17081i | −0.300221 | − | 0.953870i | \(-0.597060\pi\) |
0.976186 | − | 0.216936i | \(-0.0696062\pi\) | |||||||
\(332\) | 9.10226e8 | − | 6.15961e7i | 1.36511 | − | 0.0923782i | ||||
\(333\) | 4.01354e8 | + | 5.48845e8i | 0.595625 | + | 0.814507i | ||||
\(334\) | −3.35080e8 | + | 3.58521e8i | −0.492080 | + | 0.526505i | ||||
\(335\) | 6.87768e8 | − | 1.19125e9i | 0.999506 | − | 1.73119i | ||||
\(336\) | −6.21938e8 | + | 9.16226e8i | −0.894457 | + | 1.31770i | ||||
\(337\) | 6.41948e8 | + | 1.11189e9i | 0.913683 | + | 1.58254i | 0.808819 | + | 0.588058i | \(0.200107\pi\) |
0.104864 | + | 0.994487i | \(0.466559\pi\) | |||||||
\(338\) | −6.12577e8 | − | 1.42149e8i | −0.862884 | − | 0.200233i | ||||
\(339\) | 6.73283e8 | − | 7.50083e8i | 0.938640 | − | 1.04571i | ||||
\(340\) | 8.57792e8 | − | 1.74876e9i | 1.18360 | − | 2.41298i | ||||
\(341\) | −4.34888e7 | −0.0593932 | ||||||||
\(342\) | 1.29553e8 | + | 9.72267e7i | 0.175128 | + | 0.131430i | ||||
\(343\) | − | 6.38420e8i | − | 0.854235i | ||||||
\(344\) | −2.27232e8 | + | 8.63493e7i | −0.300964 | + | 0.114368i | ||||
\(345\) | −2.94814e8 | + | 1.39760e9i | −0.386529 | + | 1.83238i | ||||
\(346\) | −9.42349e8 | − | 2.18673e8i | −1.22305 | − | 0.283811i | ||||
\(347\) | −5.92629e8 | + | 3.42155e8i | −0.761430 | + | 0.439612i | −0.829809 | − | 0.558048i | \(-0.811551\pi\) |
0.0683789 | + | 0.997659i | \(0.478217\pi\) | |||||||
\(348\) | −2.57749e8 | − | 6.39242e8i | −0.327846 | − | 0.813089i | ||||
\(349\) | 677300. | + | 391039.i | 0.000852888 | + | 0.000492415i | 0.500426 | − | 0.865779i | \(-0.333177\pi\) |
−0.499573 | + | 0.866272i | \(0.666510\pi\) | |||||||
\(350\) | −1.19615e9 | − | 1.11794e9i | −1.49124 | − | 1.39373i | ||||
\(351\) | −1.11169e8 | + | 1.10699e9i | −0.137217 | + | 1.36638i | ||||
\(352\) | −1.93614e8 | − | 1.37196e8i | −0.236613 | − | 0.167665i | ||||
\(353\) | 1.04175e9 | + | 6.01457e8i | 1.26053 | + | 0.727768i | 0.973177 | − | 0.230056i | \(-0.0738910\pi\) |
0.287354 | + | 0.957824i | \(0.407224\pi\) | |||||||
\(354\) | −1.48223e8 | − | 6.90417e7i | −0.177585 | − | 0.0827180i | ||||
\(355\) | 1.66905e8 | + | 2.89088e8i | 0.198002 | + | 0.342950i | ||||
\(356\) | −4.75464e8 | − | 7.08329e8i | −0.558525 | − | 0.832070i | ||||
\(357\) | 5.02811e8 | − | 2.38363e9i | 0.584879 | − | 2.77268i | ||||
\(358\) | 5.02064e8 | − | 1.52880e8i | 0.578320 | − | 0.176101i | ||||
\(359\) | 1.34070e9 | 1.52933 | 0.764667 | − | 0.644425i | \(-0.222903\pi\) | ||||
0.764667 | + | 0.644425i | \(0.222903\pi\) | |||||||
\(360\) | 6.06723e8 | + | 1.19159e9i | 0.685381 | + | 1.34607i | ||||
\(361\) | −8.51016e8 | −0.952056 | ||||||||
\(362\) | −2.08726e8 | + | 6.35577e7i | −0.231257 | + | 0.0704187i | ||||
\(363\) | −6.21153e8 | − | 5.57555e8i | −0.681594 | − | 0.611807i | ||||
\(364\) | −1.67086e9 | + | 1.12156e9i | −1.81588 | + | 1.21890i | ||||
\(365\) | −8.33485e7 | − | 1.44364e8i | −0.0897166 | − | 0.155394i | ||||
\(366\) | 5.64281e7 | + | 6.41861e8i | 0.0601605 | + | 0.684317i | ||||
\(367\) | −3.79883e8 | − | 2.19326e8i | −0.401161 | − | 0.231611i | 0.285824 | − | 0.958282i | \(-0.407733\pi\) |
−0.686985 | + | 0.726672i | \(0.741066\pi\) | |||||||
\(368\) | 1.17445e9 | − | 1.59684e8i | 1.22848 | − | 0.167030i | ||||
\(369\) | 5.62275e8 | − | 1.27346e9i | 0.582581 | − | 1.31945i | ||||
\(370\) | 1.08497e9 | + | 1.01403e9i | 1.11355 | + | 1.04074i | ||||
\(371\) | −3.89439e7 | − | 2.24843e7i | −0.0395941 | − | 0.0228597i | ||||
\(372\) | 2.84422e7 | − | 2.01352e8i | 0.0286459 | − | 0.202794i | ||||
\(373\) | −1.15503e8 | + | 6.66859e7i | −0.115243 | + | 0.0665354i | −0.556513 | − | 0.830839i | \(-0.687861\pi\) |
0.441271 | + | 0.897374i | \(0.354528\pi\) | |||||||
\(374\) | 5.08509e8 | + | 1.18000e8i | 0.502630 | + | 0.116636i | ||||
\(375\) | −4.12972e8 | + | 1.34888e8i | −0.404400 | + | 0.132088i | ||||
\(376\) | −9.63892e7 | + | 3.66284e7i | −0.0935128 | + | 0.0355354i | ||||
\(377\) | − | 1.25254e9i | − | 1.20392i | ||||||
\(378\) | 1.10158e9 | + | 1.25828e9i | 1.04905 | + | 1.19828i | ||||
\(379\) | 7.55421e8 | 0.712774 | 0.356387 | − | 0.934338i | \(-0.384008\pi\) | ||||
0.356387 | + | 0.934338i | \(0.384008\pi\) | |||||||
\(380\) | 3.17626e8 | + | 1.55800e8i | 0.296943 | + | 0.145655i | ||||
\(381\) | 1.56351e8 | + | 4.78684e8i | 0.144832 | + | 0.443416i | ||||
\(382\) | 3.32947e8 | + | 7.72605e7i | 0.305600 | + | 0.0709146i | ||||
\(383\) | 1.02085e8 | + | 1.76816e8i | 0.0928467 | + | 0.160815i | 0.908708 | − | 0.417433i | \(-0.137070\pi\) |
−0.815861 | + | 0.578248i | \(0.803737\pi\) | |||||||
\(384\) | 7.61841e8 | − | 8.06703e8i | 0.686602 | − | 0.727033i | ||||
\(385\) | 3.90575e8 | − | 6.76495e8i | 0.348812 | − | 0.604160i | ||||
\(386\) | 5.10916e8 | − | 5.46659e8i | 0.452162 | − | 0.483794i | ||||
\(387\) | 3.95003e7 | + | 3.64976e8i | 0.0346427 | + | 0.320093i | ||||
\(388\) | −9.03316e7 | − | 1.33486e9i | −0.0785107 | − | 1.16018i | ||||
\(389\) | 4.30524e8 | − | 7.45689e8i | 0.370829 | − | 0.642294i | −0.618865 | − | 0.785498i | \(-0.712407\pi\) |
0.989693 | + | 0.143204i | \(0.0457404\pi\) | |||||||
\(390\) | 2.12805e8 | + | 2.42062e9i | 0.181658 | + | 2.06634i | ||||
\(391\) | −2.25809e9 | + | 1.30371e9i | −1.91039 | + | 1.10297i | ||||
\(392\) | −2.92729e8 | + | 1.80878e9i | −0.245451 | + | 1.51664i | ||||
\(393\) | 1.60648e8 | − | 1.78972e8i | 0.133506 | − | 0.148734i | ||||
\(394\) | 4.62879e8 | + | 1.52011e9i | 0.381268 | + | 1.25210i | ||||
\(395\) | 9.18736e8i | 0.750069i | ||||||||
\(396\) | −2.74328e8 | + | 2.30583e8i | −0.221992 | + | 0.186592i | ||||
\(397\) | 2.15255e9i | 1.72658i | 0.504709 | + | 0.863289i | \(0.331600\pi\) | ||||
−0.504709 | + | 0.863289i | \(0.668400\pi\) | |||||||
\(398\) | −2.18724e9 | + | 6.66024e8i | −1.73903 | + | 0.529541i | ||||
\(399\) | 4.32937e8 | + | 9.13252e7i | 0.341208 | + | 0.0719757i | ||||
\(400\) | 1.00418e9 | + | 1.29726e9i | 0.784516 | + | 1.01348i | ||||
\(401\) | −5.09278e8 | + | 2.94032e8i | −0.394412 | + | 0.227714i | −0.684070 | − | 0.729417i | \(-0.739792\pi\) |
0.289658 | + | 0.957130i | \(0.406458\pi\) | |||||||
\(402\) | −7.27844e8 | + | 1.56258e9i | −0.558788 | + | 1.19964i | ||||
\(403\) | 1.84771e8 | − | 3.20032e8i | 0.140626 | − | 0.243571i | ||||
\(404\) | −1.33791e8 | − | 1.97707e9i | −0.100946 | − | 1.49172i | ||||
\(405\) | 1.97261e9 | − | 4.32041e8i | 1.47554 | − | 0.323171i | ||||
\(406\) | −1.37553e9 | − | 1.28559e9i | −1.02007 | − | 0.953371i | ||||
\(407\) | −1.99001e8 | + | 3.44680e8i | −0.146310 | + | 0.253417i | ||||
\(408\) | −8.78909e8 | + | 2.27721e9i | −0.640668 | + | 1.65994i | ||||
\(409\) | −3.54883e8 | − | 6.14675e8i | −0.256480 | − | 0.444236i | 0.708816 | − | 0.705393i | \(-0.249229\pi\) |
−0.965296 | + | 0.261157i | \(0.915896\pi\) | |||||||
\(410\) | 6.87272e8 | − | 2.96173e9i | 0.492476 | − | 2.12228i | ||||
\(411\) | −9.40312e8 | − | 1.98353e8i | −0.668076 | − | 0.140926i | ||||
\(412\) | −6.69018e8 | + | 1.36391e9i | −0.471300 | + | 0.960827i | ||||
\(413\) | −4.46659e8 | −0.311998 | ||||||||
\(414\) | 2.14651e8 | − | 1.77706e9i | 0.148673 | − | 1.23084i | ||||
\(415\) | − | 3.00920e9i | − | 2.06672i | ||||||
\(416\) | 1.83223e9 | − | 8.41895e8i | 1.24782 | − | 0.573365i | ||||
\(417\) | 3.57595e8 | + | 3.20981e8i | 0.241499 | + | 0.216772i | ||||
\(418\) | −2.14323e7 | + | 9.23602e7i | −0.0143533 | + | 0.0618540i | ||||
\(419\) | −1.88791e8 | + | 1.08999e8i | −0.125381 | + | 0.0723889i | −0.561379 | − | 0.827559i | \(-0.689729\pi\) |
0.435998 | + | 0.899948i | \(0.356396\pi\) | |||||||
\(420\) | 2.87672e9 | + | 2.25079e9i | 1.89463 | + | 1.48239i | ||||
\(421\) | 9.14209e8 | + | 5.27819e8i | 0.597115 | + | 0.344745i | 0.767906 | − | 0.640563i | \(-0.221299\pi\) |
−0.170791 | + | 0.985307i | \(0.554632\pi\) | |||||||
\(422\) | 1.25617e8 | − | 1.34405e8i | 0.0813684 | − | 0.0870608i | ||||
\(423\) | 1.67556e7 | + | 1.54819e8i | 0.0107639 | + | 0.0994562i | ||||
\(424\) | 3.49211e7 | + | 2.84738e7i | 0.0222488 | + | 0.0181411i | ||||
\(425\) | −3.12540e9 | − | 1.80445e9i | −1.97490 | − | 1.14021i | ||||
\(426\) | −2.40084e8 | − | 3.42568e8i | −0.150463 | − | 0.214691i | ||||
\(427\) | 8.80042e8 | + | 1.52428e9i | 0.547024 | + | 0.947473i | ||||
\(428\) | −1.51752e9 | − | 2.26074e9i | −0.935578 | − | 1.39379i | ||||
\(429\) | −6.19054e8 | + | 2.02200e8i | −0.378554 | + | 0.123646i | ||||
\(430\) | 2.33564e8 | + | 7.67031e8i | 0.141666 | + | 0.465236i | ||||
\(431\) | 1.26185e9 | 0.759168 | 0.379584 | − | 0.925157i | \(-0.376067\pi\) | ||||
0.379584 | + | 0.925157i | \(0.376067\pi\) | |||||||
\(432\) | −8.88180e8 | − | 1.42094e9i | −0.530039 | − | 0.847973i | ||||
\(433\) | 2.43441e9 | 1.44107 | 0.720536 | − | 0.693418i | \(-0.243896\pi\) | ||||
0.720536 | + | 0.693418i | \(0.243896\pi\) | |||||||
\(434\) | −1.61810e8 | − | 5.31388e8i | −0.0950146 | − | 0.312031i | ||||
\(435\) | −2.16109e9 | + | 7.05872e8i | −1.25881 | + | 0.411163i | ||||
\(436\) | 1.26074e9 | + | 1.87820e9i | 0.728488 | + | 1.08527i | ||||
\(437\) | −2.36792e8 | − | 4.10135e8i | −0.135732 | − | 0.235094i | ||||
\(438\) | 1.19892e8 | + | 1.71070e8i | 0.0681760 | + | 0.0972782i | ||||
\(439\) | −1.77175e9 | − | 1.02292e9i | −0.999483 | − | 0.577052i | −0.0913879 | − | 0.995815i | \(-0.529130\pi\) |
−0.908095 | + | 0.418763i | \(0.862464\pi\) | |||||||
\(440\) | −4.94619e8 | + | 6.06615e8i | −0.276813 | + | 0.339491i | ||||
\(441\) | 2.53138e9 | + | 1.11769e9i | 1.40547 | + | 0.620564i | ||||
\(442\) | −3.02886e9 | + | 3.24075e9i | −1.66840 | + | 1.78512i | ||||
\(443\) | 2.01481e9 | + | 1.16325e9i | 1.10108 | + | 0.635711i | 0.936505 | − | 0.350653i | \(-0.114040\pi\) |
0.164578 | + | 0.986364i | \(0.447374\pi\) | |||||||
\(444\) | −1.46571e9 | − | 1.14680e9i | −0.794709 | − | 0.621793i | ||||
\(445\) | −2.43694e9 | + | 1.40697e9i | −1.31094 | + | 0.756874i | ||||
\(446\) | 5.17967e8 | − | 2.23213e9i | 0.276459 | − | 1.19137i | ||||
\(447\) | −9.24132e8 | − | 8.29513e8i | −0.489393 | − | 0.439285i | ||||
\(448\) | 9.56011e8 | − | 2.87624e9i | 0.502331 | − | 1.51130i | ||||
\(449\) | − | 1.48267e9i | − | 0.773005i | −0.922288 | − | 0.386503i | \(-0.873683\pi\) | ||
0.922288 | − | 0.386503i | \(-0.126317\pi\) | |||||||
\(450\) | 2.27863e9 | − | 9.72510e8i | 1.17877 | − | 0.503095i | ||||
\(451\) | 8.14847e8 | 0.418271 | ||||||||
\(452\) | −1.21494e9 | + | 2.47686e9i | −0.618827 | + | 1.26159i | ||||
\(453\) | −1.80327e9 | − | 3.80389e8i | −0.911419 | − | 0.192258i | ||||
\(454\) | 4.34411e8 | − | 1.87205e9i | 0.217874 | − | 0.938906i | ||||
\(455\) | 3.31887e9 | + | 5.74845e9i | 1.65177 | + | 2.86095i | ||||
\(456\) | −4.13609e8 | − | 1.59636e8i | −0.204274 | − | 0.0788412i | ||||
\(457\) | −1.56683e9 | + | 2.71383e9i | −0.767919 | + | 1.33007i | 0.170771 | + | 0.985311i | \(0.445374\pi\) |
−0.938689 | + | 0.344764i | \(0.887959\pi\) | |||||||
\(458\) | 1.26277e8 | + | 1.18020e8i | 0.0614177 | + | 0.0574020i | ||||
\(459\) | 2.99228e9 | + | 2.15292e9i | 1.44430 | + | 1.03916i | ||||
\(460\) | −2.63957e8 | − | 3.90058e9i | −0.126439 | − | 1.86843i | ||||
\(461\) | 9.14182e8 | − | 1.58341e9i | 0.434590 | − | 0.752731i | −0.562673 | − | 0.826680i | \(-0.690227\pi\) |
0.997262 | + | 0.0739488i | \(0.0235601\pi\) | |||||||
\(462\) | −4.13333e8 | + | 8.87372e8i | −0.195008 | + | 0.418657i | ||||
\(463\) | 2.12196e9 | − | 1.22512e9i | 0.993583 | − | 0.573646i | 0.0872399 | − | 0.996187i | \(-0.472195\pi\) |
0.906343 | + | 0.422542i | \(0.138862\pi\) | |||||||
\(464\) | 1.15477e9 | + | 1.49180e9i | 0.536641 | + | 0.693263i | ||||
\(465\) | −6.56299e8 | − | 1.38442e8i | −0.302703 | − | 0.0638532i | ||||
\(466\) | 4.10657e8 | − | 1.25047e8i | 0.187987 | − | 0.0572428i | ||||
\(467\) | 1.71972e9i | 0.781356i | 0.920527 | + | 0.390678i | \(0.127759\pi\) | ||||
−0.920527 | + | 0.390678i | \(0.872241\pi\) | |||||||
\(468\) | −5.31313e8 | − | 2.99845e9i | −0.239602 | − | 1.35218i | ||||
\(469\) | 4.70872e9i | 2.10765i | ||||||||
\(470\) | 9.90751e7 | + | 3.25366e8i | 0.0440172 | + | 0.144554i | ||||
\(471\) | 1.01928e9 | − | 1.13555e9i | 0.449492 | − | 0.500764i | ||||
\(472\) | 4.41801e8 | + | 7.15004e7i | 0.193388 | + | 0.0312976i | ||||
\(473\) | −1.86097e8 | + | 1.07443e8i | −0.0808585 | + | 0.0466837i | ||||
\(474\) | −1.00829e8 | − | 1.14691e9i | −0.0434870 | − | 0.494658i | ||||
\(475\) | 3.27741e8 | − | 5.67664e8i | 0.140315 | − | 0.243032i | ||||
\(476\) | 4.50183e8 | + | 6.65251e9i | 0.191322 | + | 2.82723i | ||||
\(477\) | 5.49272e7 | − | 4.01667e7i | 0.0231725 | − | 0.0169454i | ||||
\(478\) | 1.92134e9 | − | 2.05576e9i | 0.804651 | − | 0.860943i | ||||
\(479\) | 3.30830e8 | − | 5.73015e8i | 0.137541 | − | 0.238227i | −0.789025 | − | 0.614362i | \(-0.789414\pi\) |
0.926565 | + | 0.376134i | \(0.122747\pi\) | |||||||
\(480\) | −2.48513e9 | − | 2.68681e9i | −1.02566 | − | 1.10890i | ||||
\(481\) | −1.69099e9 | − | 2.92888e9i | −0.692841 | − | 1.20004i | ||||
\(482\) | −2.66171e9 | − | 6.17651e8i | −1.08267 | − | 0.251234i | ||||
\(483\) | −1.51813e9 | − | 4.64788e9i | −0.613046 | − | 1.87690i | ||||
\(484\) | 2.05112e9 | + | 1.00611e9i | 0.822305 | + | 0.403352i | ||||
\(485\) | −4.41303e9 | −1.75647 | ||||||||
\(486\) | −2.41511e9 | + | 7.55830e8i | −0.954355 | + | 0.298674i | ||||
\(487\) | − | 5.97696e8i | − | 0.234492i | −0.993103 | − | 0.117246i | \(-0.962593\pi\) | ||
0.993103 | − | 0.117246i | \(-0.0374067\pi\) | |||||||
\(488\) | −6.26467e8 | − | 1.64858e9i | −0.244022 | − | 0.642154i | ||||
\(489\) | 2.22027e9 | − | 7.25200e8i | 0.858666 | − | 0.280464i | ||||
\(490\) | 5.88734e9 | + | 1.36616e9i | 2.26065 | + | 0.524585i | ||||
\(491\) | −5.01380e8 | + | 2.89472e8i | −0.191153 | + | 0.110362i | −0.592522 | − | 0.805554i | \(-0.701868\pi\) |
0.401369 | + | 0.915916i | \(0.368534\pi\) | |||||||
\(492\) | −5.32920e8 | + | 3.77272e9i | −0.201736 | + | 1.42816i | ||||
\(493\) | −3.59410e9 | − | 2.07506e9i | −1.35091 | − | 0.779948i | ||||
\(494\) | −5.88616e8 | − | 5.50130e8i | −0.219679 | − | 0.205315i | ||||
\(495\) | 6.97736e8 | + | 9.54142e8i | 0.258567 | + | 0.353586i | ||||
\(496\) | 7.49862e7 | + | 5.51511e8i | 0.0275928 | + | 0.202940i | ||||
\(497\) | −9.89604e8 | − | 5.71348e8i | −0.361588 | − | 0.208763i | ||||
\(498\) | 3.30250e8 | + | 3.75655e9i | 0.119823 | + | 1.36297i | ||||
\(499\) | −1.24903e9 | − | 2.16338e9i | −0.450008 | − | 0.779437i | 0.548378 | − | 0.836231i | \(-0.315246\pi\) |
−0.998386 | + | 0.0567936i | \(0.981912\pi\) | |||||||
\(500\) | 9.87298e8 | − | 6.62721e8i | 0.353226 | − | 0.237102i | ||||
\(501\) | −1.50952e9 | − | 1.35496e9i | −0.536298 | − | 0.481388i | ||||
\(502\) | 4.43957e9 | − | 1.35187e9i | 1.56631 | − | 0.476947i | ||||
\(503\) | 4.80118e9 | 1.68213 | 0.841067 | − | 0.540931i | \(-0.181928\pi\) | ||||
0.841067 | + | 0.540931i | \(0.181928\pi\) | |||||||
\(504\) | −3.83819e9 | − | 2.49408e9i | −1.33542 | − | 0.867766i | ||||
\(505\) | −6.53616e9 | −2.25841 | ||||||||
\(506\) | 1.00232e9 | − | 3.05211e8i | 0.343939 | − | 0.104731i | ||||
\(507\) | 5.36515e8 | − | 2.54340e9i | 0.182833 | − | 0.866738i | ||||
\(508\) | −7.68174e8 | − | 1.14440e9i | −0.259978 | − | 0.387306i | ||||
\(509\) | 1.68682e9 | + | 2.92165e9i | 0.566964 | + | 0.982010i | 0.996864 | + | 0.0791337i | \(0.0252154\pi\) |
−0.429900 | + | 0.902876i | \(0.641451\pi\) | |||||||
\(510\) | 7.29839e9 | + | 3.39955e9i | 2.43630 | + | 1.13482i | ||||
\(511\) | 4.94185e8 | + | 2.85318e8i | 0.163839 | + | 0.0945924i | ||||
\(512\) | −1.40604e9 | + | 2.69192e9i | −0.462969 | + | 0.886375i | ||||
\(513\) | −3.91033e8 | + | 5.43487e8i | −0.127880 | + | 0.177737i | ||||
\(514\) | −1.89023e9 | − | 1.76664e9i | −0.613966 | − | 0.573822i | ||||
\(515\) | 4.33952e9 | + | 2.50542e9i | 1.39996 | + | 0.808269i | ||||
\(516\) | −3.75750e8 | − | 9.31896e8i | −0.120400 | − | 0.298602i | ||||
\(517\) | −7.89403e7 | + | 4.55762e7i | −0.0251236 | + | 0.0145051i | ||||
\(518\) | −4.95207e9 | − | 1.14913e9i | −1.56543 | − | 0.363258i | ||||
\(519\) | 8.25339e8 | − | 3.91261e9i | 0.259147 | − | 1.22852i | ||||
\(520\) | −2.36257e9 | − | 6.21720e9i | −0.736840 | − | 1.93902i | ||||
\(521\) | − | 1.43096e9i | − | 0.443297i | −0.975127 | − | 0.221648i | \(-0.928856\pi\) | ||
0.975127 | − | 0.221648i | \(-0.0711437\pi\) | |||||||
\(522\) | 2.62035e9 | − | 1.11835e9i | 0.806329 | − | 0.344138i | ||||
\(523\) | −2.90587e9 | −0.888220 | −0.444110 | − | 0.895972i | \(-0.646480\pi\) | ||||
−0.444110 | + | 0.895972i | \(0.646480\pi\) | |||||||
\(524\) | −2.89888e8 | + | 5.90987e8i | −0.0880179 | + | 0.179440i | ||||
\(525\) | 4.52061e9 | − | 5.03626e9i | 1.36345 | − | 1.51897i | ||||
\(526\) | −1.10433e9 | − | 2.56260e8i | −0.330862 | − | 0.0767769i | ||||
\(527\) | −6.12209e8 | − | 1.06038e9i | −0.182206 | − | 0.315590i | ||||
\(528\) | 5.50886e8 | − | 8.11555e8i | 0.162871 | − | 0.239938i | ||||
\(529\) | −9.14298e8 | + | 1.58361e9i | −0.268530 | + | 0.465107i | ||||
\(530\) | 1.01482e8 | − | 1.08581e8i | 0.0296089 | − | 0.0316803i | ||||
\(531\) | 2.73001e8 | − | 6.18301e8i | 0.0791285 | − | 0.179213i | ||||
\(532\) | −1.20829e9 | + | 8.17665e7i | −0.347921 | + | 0.0235442i | ||||
\(533\) | −3.46204e9 | + | 5.99642e9i | −0.990345 | + | 1.71533i | ||||
\(534\) | 2.88776e9 | − | 2.02384e9i | 0.820665 | − | 0.575152i | ||||
\(535\) | −7.77786e9 | + | 4.49055e9i | −2.19595 | + | 1.26783i | ||||
\(536\) | 7.53764e8 | − | 4.65751e9i | 0.211426 | − | 1.30640i | ||||
\(537\) | 6.73556e8 | + | 2.06215e9i | 0.187700 | + | 0.574660i | ||||
\(538\) | 3.87951e8 | + | 1.27404e9i | 0.107409 | + | 0.352733i | ||||
\(539\) | 1.61975e9i | 0.445542i | ||||||||
\(540\) | −4.87399e9 | + | 2.60648e9i | −1.33201 | + | 0.712323i | ||||
\(541\) | 1.24100e9i | 0.336963i | 0.985705 | + | 0.168482i | \(0.0538864\pi\) | ||||
−0.985705 | + | 0.168482i | \(0.946114\pi\) | |||||||
\(542\) | 6.95474e8 | − | 2.11774e8i | 0.187622 | − | 0.0571315i | ||||
\(543\) | −2.80021e8 | − | 8.57310e8i | −0.0750570 | − | 0.229794i | ||||
\(544\) | 6.19635e8 | − | 6.65222e9i | 0.165021 | − | 1.77162i | ||||
\(545\) | 6.46177e9 | − | 3.73071e9i | 1.70987 | − | 0.987196i | ||||
\(546\) | −4.77400e9 | − | 6.81187e9i | −1.25519 | − | 1.79099i | ||||
\(547\) | −7.53277e8 | + | 1.30471e9i | −0.196788 | + | 0.340847i | −0.947485 | − | 0.319799i | \(-0.896384\pi\) |
0.750697 | + | 0.660647i | \(0.229718\pi\) | |||||||
\(548\) | 2.62433e9 | − | 1.77592e8i | 0.681220 | − | 0.0460989i | ||||
\(549\) | −2.64791e9 | + | 2.86576e8i | −0.682968 | + | 0.0739156i | ||||
\(550\) | 1.05950e9 | + | 9.90222e8i | 0.271538 | + | 0.253783i | ||||
\(551\) | 3.76891e8 | − | 6.52795e8i | 0.0959811 | − | 0.166244i | ||||
\(552\) | 7.57590e8 | + | 4.84035e9i | 0.191711 | + | 1.22487i | ||||
\(553\) | −1.57250e9 | − | 2.72366e9i | −0.395416 | − | 0.684880i | ||||
\(554\) | 1.18301e9 | − | 5.09808e9i | 0.295601 | − | 1.27386i | ||||
\(555\) | −4.10042e9 | + | 4.56814e9i | −1.01813 | + | 1.13426i | ||||
\(556\) | −1.18082e9 | − | 5.79210e8i | −0.291355 | − | 0.142914i | ||||
\(557\) | −2.20530e9 | −0.540723 | −0.270362 | − | 0.962759i | \(-0.587143\pi\) | ||||
−0.270362 | + | 0.962759i | \(0.587143\pi\) | |||||||
\(558\) | 8.34488e8 | + | 1.00798e8i | 0.203330 | + | 0.0245602i | ||||
\(559\) | − | 1.82598e9i | − | 0.442134i | ||||||
\(560\) | −9.25256e9 | − | 3.78669e9i | −2.22640 | − | 0.911175i | ||||
\(561\) | −4.45369e8 | + | 2.11132e9i | −0.106500 | + | 0.504875i | ||||
\(562\) | 8.88717e8 | − | 3.82984e9i | 0.211196 | − | 0.910130i | ||||
\(563\) | −5.50688e9 | + | 3.17940e9i | −1.30055 | + | 0.750872i | −0.980498 | − | 0.196529i | \(-0.937033\pi\) |
−0.320050 | + | 0.947401i | \(0.603700\pi\) | |||||||
\(564\) | −1.59389e8 | − | 3.95300e8i | −0.0374095 | − | 0.0927790i | ||||
\(565\) | 7.88058e9 | + | 4.54985e9i | 1.83818 | + | 1.06127i | ||||
\(566\) | −2.27292e7 | + | 2.43193e7i | −0.00526899 | + | 0.00563760i | ||||
\(567\) | −5.10847e9 | + | 4.65713e9i | −1.17693 | + | 1.07295i | ||||
\(568\) | 8.87381e8 | + | 7.23548e8i | 0.203185 | + | 0.165672i | ||||
\(569\) | 2.21102e9 | + | 1.27653e9i | 0.503153 | + | 0.290496i | 0.730015 | − | 0.683431i | \(-0.239513\pi\) |
−0.226861 | + | 0.973927i | \(0.572846\pi\) | |||||||
\(570\) | −6.17458e8 | + | 1.32560e9i | −0.139652 | + | 0.299813i | ||||
\(571\) | 2.46696e9 | + | 4.27290e9i | 0.554544 | + | 0.960498i | 0.997939 | + | 0.0641714i | \(0.0204404\pi\) |
−0.443395 | + | 0.896326i | \(0.646226\pi\) | |||||||
\(572\) | 1.47998e9 | − | 9.93433e8i | 0.330651 | − | 0.221949i | ||||
\(573\) | −2.91605e8 | + | 1.38239e9i | −0.0647522 | + | 0.306964i | ||||
\(574\) | 3.03182e9 | + | 9.95660e9i | 0.669132 | + | 2.19745i | ||||
\(575\) | −7.24352e9 | −1.58896 | ||||||||
\(576\) | 3.39720e9 | + | 3.08136e9i | 0.740699 | + | 0.671837i | ||||
\(577\) | −2.56379e8 | −0.0555606 | −0.0277803 | − | 0.999614i | \(-0.508844\pi\) | ||||
−0.0277803 | + | 0.999614i | \(0.508844\pi\) | |||||||
\(578\) | 2.92899e9 | + | 9.61889e9i | 0.630914 | + | 2.07194i | ||||
\(579\) | 2.30165e9 | + | 2.06599e9i | 0.492793 | + | 0.442337i | ||||
\(580\) | 5.16656e9 | − | 3.46804e9i | 1.09952 | − | 0.738050i | ||||
\(581\) | 5.15053e9 | + | 8.92097e9i | 1.08952 | + | 1.88710i | ||||
\(582\) | 5.50904e9 | − | 4.84317e8i | 1.15837 | − | 0.101836i | ||||
\(583\) | 3.44949e7 | + | 1.99156e7i | 0.00720965 | + | 0.00416250i | ||||
\(584\) | −4.43137e8 | − | 3.61323e8i | −0.0920647 | − | 0.0750673i | ||||
\(585\) | −9.98596e9 | + | 1.08075e9i | −2.06226 | + | 0.223193i | ||||
\(586\) | 1.13788e8 | − | 1.21749e8i | 0.0233591 | − | 0.0249932i | ||||
\(587\) | −1.86136e9 | − | 1.07466e9i | −0.379837 | − | 0.219299i | 0.297910 | − | 0.954594i | \(-0.403710\pi\) |
−0.677747 | + | 0.735295i | \(0.737044\pi\) | |||||||
\(588\) | −7.49943e9 | − | 1.05934e9i | −1.52127 | − | 0.214889i | ||||
\(589\) | 1.92596e8 | − | 1.11195e8i | 0.0388367 | − | 0.0224224i | ||||
\(590\) | 3.33691e8 | − | 1.43801e9i | 0.0668902 | − | 0.288257i | ||||
\(591\) | −6.24363e9 | + | 2.03934e9i | −1.24417 | + | 0.406381i | ||||
\(592\) | 4.71426e9 | + | 1.92935e9i | 0.933872 | + | 0.382195i | ||||
\(593\) | 3.14866e9i | 0.620062i | 0.950726 | + | 0.310031i | \(0.100339\pi\) | ||||
−0.950726 | + | 0.310031i | \(0.899661\pi\) | |||||||
\(594\) | −9.75738e8 | − | 1.11454e9i | −0.191021 | − | 0.218193i | ||||
\(595\) | 2.19931e10 | 4.28033 | ||||||||
\(596\) | 3.05159e9 | + | 1.49685e9i | 0.590425 | + | 0.289612i | ||||
\(597\) | −2.93435e9 | − | 8.98379e9i | −0.564420 | − | 1.72802i | ||||
\(598\) | −2.01253e9 | + | 8.67281e9i | −0.384848 | + | 1.65846i | ||||
\(599\) | 1.66479e9 | + | 2.88349e9i | 0.316493 | + | 0.548182i | 0.979754 | − | 0.200206i | \(-0.0641612\pi\) |
−0.663261 | + | 0.748389i | \(0.730828\pi\) | |||||||
\(600\) | −5.27763e9 | + | 4.25783e9i | −0.997493 | + | 0.804746i | ||||
\(601\) | 3.29834e9 | − | 5.71289e9i | 0.619776 | − | 1.07348i | −0.369750 | − | 0.929131i | \(-0.620557\pi\) |
0.989526 | − | 0.144353i | \(-0.0461100\pi\) | |||||||
\(602\) | −2.00526e9 | − | 1.87415e9i | −0.374614 | − | 0.350120i | ||||
\(603\) | −6.51819e9 | − | 2.87800e9i | −1.21064 | − | 0.534540i | ||||
\(604\) | 5.03279e9 | − | 3.40575e8i | 0.929350 | − | 0.0628902i | ||||
\(605\) | 3.76779e9 | − | 6.52601e9i | 0.691741 | − | 1.19813i | ||||
\(606\) | 8.15946e9 | − | 7.17324e8i | 1.48939 | − | 0.130937i | ||||
\(607\) | 8.56929e9 | − | 4.94748e9i | 1.55519 | − | 0.897891i | 0.557488 | − | 0.830185i | \(-0.311765\pi\) |
0.997705 | − | 0.0677058i | \(-0.0215679\pi\) | |||||||
\(608\) | 1.20824e9 | + | 1.12544e8i | 0.218017 | + | 0.0203076i | ||||
\(609\) | 5.19855e9 | − | 5.79153e9i | 0.932656 | − | 1.03904i | ||||
\(610\) | −5.56484e9 | + | 1.69451e9i | −0.992654 | + | 0.302267i | ||||
\(611\) | − | 7.74558e8i | − | 0.137376i | ||||||
\(612\) | −9.48408e9 | − | 3.44288e9i | −1.67250 | − | 0.607144i | ||||
\(613\) | 9.62891e8i | 0.168836i | 0.996430 | + | 0.0844181i | \(0.0269031\pi\) | ||||
−0.996430 | + | 0.0844181i | \(0.973097\pi\) | |||||||
\(614\) | 3.95926e8 | + | 1.30023e9i | 0.0690279 | + | 0.226690i | ||||
\(615\) | 1.22970e10 | + | 2.59398e9i | 2.13176 | + | 0.449680i | ||||
\(616\) | 4.28053e8 | − | 2.64494e9i | 0.0737844 | − | 0.455915i | ||||
\(617\) | 3.25993e9 | − | 1.88212e9i | 0.558741 | − | 0.322589i | −0.193899 | − | 0.981021i | \(-0.562113\pi\) |
0.752640 | + | 0.658432i | \(0.228780\pi\) | |||||||
\(618\) | −5.69223e9 | − | 2.65141e9i | −0.970114 | − | 0.451874i | ||||
\(619\) | 5.08172e9 | − | 8.80181e9i | 0.861180 | − | 1.49161i | −0.00961106 | − | 0.999954i | \(-0.503059\pi\) |
0.870791 | − | 0.491653i | \(-0.163607\pi\) | |||||||
\(620\) | 1.83168e9 | − | 1.23952e8i | 0.308658 | − | 0.0208873i | ||||
\(621\) | 7.36185e9 | + | 7.39305e8i | 1.23358 | + | 0.123881i | ||||
\(622\) | 3.07756e8 | − | 3.29286e8i | 0.0512790 | − | 0.0548664i | ||||
\(623\) | 4.81631e9 | − | 8.34210e9i | 0.798007 | − | 1.38219i | ||||
\(624\) | 3.63165e9 | + | 7.50200e9i | 0.598353 | + | 1.23604i | ||||
\(625\) | 1.95018e9 | + | 3.37781e9i | 0.319517 | + | 0.553420i | ||||
\(626\) | 1.02915e10 | + | 2.38816e9i | 1.67675 | + | 0.389092i | ||||
\(627\) | −3.83477e8 | − | 8.08921e7i | −0.0621303 | − | 0.0131060i | ||||
\(628\) | −1.83929e9 | + | 3.74972e9i | −0.296341 | + | 0.604143i | ||||
\(629\) | −1.12057e10 | −1.79540 | ||||||||
\(630\) | −9.06256e9 | + | 1.20757e10i | −1.44397 | + | 1.92407i | ||||
\(631\) | 6.13308e9i | 0.971798i | 0.874015 | + | 0.485899i | \(0.161508\pi\) | ||||
−0.874015 | + | 0.485899i | \(0.838492\pi\) | |||||||
\(632\) | 1.11940e9 | + | 2.94576e9i | 0.176391 | + | 0.464181i | ||||
\(633\) | 5.65900e8 | + | 5.07959e8i | 0.0886802 | + | 0.0796004i | ||||
\(634\) | −2.66574e9 | − | 6.18587e8i | −0.415437 | − | 0.0964026i | ||||
\(635\) | −3.93719e9 | + | 2.27314e9i | −0.610209 | + | 0.352304i | ||||
\(636\) | −1.14769e8 | + | 1.46685e8i | −0.0176899 | + | 0.0226093i | ||||
\(637\) | −1.19197e10 | − | 6.88185e9i | −1.82716 | − | 1.05491i | ||||
\(638\) | 1.21839e9 | + | 1.13872e9i | 0.185743 | + | 0.173598i | ||||
\(639\) | 1.39576e9 | − | 1.02068e9i | 0.211620 | − | 0.154752i | ||||
\(640\) | 8.54576e9 | + | 5.22664e9i | 1.28861 | + | 0.788120i | ||||
\(641\) | −6.84831e9 | − | 3.95388e9i | −1.02702 | − | 0.592952i | −0.110893 | − | 0.993832i | \(-0.535371\pi\) |
−0.916131 | + | 0.400880i | \(0.868704\pi\) | |||||||
\(642\) | 9.21672e9 | − | 6.45940e9i | 1.37469 | − | 0.963429i | ||||
\(643\) | −6.01896e9 | − | 1.04251e10i | −0.892859 | − | 1.54648i | −0.836432 | − | 0.548070i | \(-0.815363\pi\) |
−0.0564268 | − | 0.998407i | \(-0.517971\pi\) | |||||||
\(644\) | 7.45874e9 | + | 1.11118e10i | 1.10044 | + | 1.63939i | ||||
\(645\) | −3.15047e9 | + | 1.02903e9i | −0.462292 | + | 0.150997i | ||||
\(646\) | −2.55371e9 | + | 7.77614e8i | −0.372699 | + | 0.113488i | ||||
\(647\) | 9.09378e9 | 1.32002 | 0.660009 | − | 0.751258i | \(-0.270553\pi\) | ||||
0.660009 | + | 0.751258i | \(0.270553\pi\) | |||||||
\(648\) | 5.79842e9 | − | 3.78873e9i | 0.837138 | − | 0.546992i | ||||
\(649\) | 3.95632e8 | 0.0568113 | ||||||||
\(650\) | −1.17885e10 | + | 3.58964e9i | −1.68369 | + | 0.512689i | ||||
\(651\) | 2.18260e9 | − | 7.12897e8i | 0.310056 | − | 0.101273i | ||||
\(652\) | −5.30803e9 | + | 3.56300e9i | −0.750009 | + | 0.503441i | ||||
\(653\) | 7.15261e8 | + | 1.23887e9i | 0.100524 | + | 0.174112i | 0.911901 | − | 0.410411i | \(-0.134615\pi\) |
−0.811377 | + | 0.584523i | \(0.801282\pi\) | |||||||
\(654\) | −7.65716e9 | + | 5.36641e9i | −1.07040 | + | 0.750174i | ||||
\(655\) | 1.88033e9 | + | 1.08561e9i | 0.261451 | + | 0.150949i | ||||
\(656\) | −1.40501e9 | − | 1.03336e10i | −0.194320 | − | 1.42919i | ||||
\(657\) | −6.97009e8 | + | 5.09702e8i | −0.0958869 | + | 0.0701193i | ||||
\(658\) | −8.50610e8 | − | 7.94994e8i | −0.116397 | − | 0.108786i | ||||
\(659\) | −2.47663e9 | − | 1.42989e9i | −0.337103 | − | 0.194627i | 0.321887 | − | 0.946778i | \(-0.395683\pi\) |
−0.658990 | + | 0.752151i | \(0.729016\pi\) | |||||||
\(660\) | −2.54808e9 | − | 1.99365e9i | −0.344992 | − | 0.269927i | ||||
\(661\) | 4.70021e9 | − | 2.71367e9i | 0.633012 | − | 0.365470i | −0.148906 | − | 0.988851i | \(-0.547575\pi\) |
0.781918 | + | 0.623382i | \(0.214242\pi\) | |||||||
\(662\) | −9.83033e9 | − | 2.28114e9i | −1.31694 | − | 0.305596i | ||||
\(663\) | −1.36449e10 | − | 1.22478e10i | −1.81833 | − | 1.63215i | ||||
\(664\) | −3.66646e9 | − | 9.64843e9i | −0.486024 | − | 1.27899i | ||||
\(665\) | 3.99460e9i | 0.526741i | ||||||||
\(666\) | 4.61745e9 | − | 6.15268e9i | 0.605679 | − | 0.807058i | ||||
\(667\) | −8.32981e9 | −1.08691 | ||||||||
\(668\) | 4.98460e9 | + | 2.44502e9i | 0.647013 | + | 0.317369i | ||||
\(669\) | 9.26774e9 | + | 1.95497e9i | 1.19669 | + | 0.252434i | ||||
\(670\) | −1.51596e10 | − | 3.51780e9i | −1.94727 | − | 0.451866i | ||||
\(671\) | −7.79505e8 | − | 1.35014e9i | −0.0996070 | − | 0.172524i | ||||
\(672\) | 1.19661e10 | + | 3.71170e9i | 1.52110 | + | 0.471824i | ||||
\(673\) | −2.49940e9 | + | 4.32909e9i | −0.316070 | + | 0.547450i | −0.979664 | − | 0.200643i | \(-0.935697\pi\) |
0.663594 | + | 0.748093i | \(0.269030\pi\) | |||||||
\(674\) | 9.91838e9 | − | 1.06122e10i | 1.24776 | − | 1.33505i | ||||
\(675\) | 4.20856e9 | + | 9.33597e9i | 0.526708 | + | 1.16841i | ||||
\(676\) | 4.80359e8 | + | 7.09843e9i | 0.0598071 | + | 0.883790i | ||||
\(677\) | 4.51637e9 | − | 7.82258e9i | 0.559409 | − | 0.968924i | −0.438137 | − | 0.898908i | \(-0.644362\pi\) |
0.997546 | − | 0.0700161i | \(-0.0223051\pi\) | |||||||
\(678\) | −1.03371e10 | − | 4.81497e9i | −1.27378 | − | 0.593321i | ||||
\(679\) | 1.30828e10 | − | 7.55333e9i | 1.60382 | − | 0.925964i | ||||
\(680\) | −2.17539e10 | − | 3.52062e9i | −2.65312 | − | 0.429376i | ||||
\(681\) | 7.77271e9 | + | 1.63960e9i | 0.943099 | + | 0.198941i | ||||
\(682\) | 1.43324e8 | + | 4.70681e8i | 0.0173011 | + | 0.0568175i | ||||
\(683\) | 7.67901e9i | 0.922217i | 0.887344 | + | 0.461108i | \(0.152548\pi\) | ||||
−0.887344 | + | 0.461108i | \(0.847452\pi\) | |||||||
\(684\) | 6.25327e8 | − | 1.72259e9i | 0.0747156 | − | 0.205819i | ||||
\(685\) | − | 8.67601e9i | − | 1.03134i | ||||||
\(686\) | −6.90966e9 | + | 2.10402e9i | −0.817188 | + | 0.248837i | ||||
\(687\) | −4.77238e8 | + | 5.31675e8i | −0.0561547 | + | 0.0625601i | ||||
\(688\) | 1.68344e9 | + | 2.17477e9i | 0.197078 | + | 0.254597i | ||||
\(689\) | −2.93116e8 | + | 1.69231e8i | −0.0341407 | + | 0.0197112i | ||||
\(690\) | 1.60979e10 | − | 1.41522e9i | 1.86551 | − | 0.164003i | ||||
\(691\) | −6.73421e9 | + | 1.16640e10i | −0.776450 | + | 1.34485i | 0.157525 | + | 0.987515i | \(0.449648\pi\) |
−0.933976 | + | 0.357336i | \(0.883685\pi\) | |||||||
\(692\) | 7.38953e8 | + | 1.09198e10i | 0.0847707 | + | 1.25269i | ||||
\(693\) | −3.70159e9 | − | 1.63438e9i | −0.422496 | − | 0.186546i | ||||
\(694\) | 5.65627e9 | + | 5.28644e9i | 0.642350 | + | 0.600351i | ||||
\(695\) | −2.16910e9 | + | 3.75699e9i | −0.245094 | + | 0.424515i | ||||
\(696\) | −6.06910e9 | + | 4.89636e9i | −0.682326 | + | 0.550480i | ||||
\(697\) | 1.14709e10 | + | 1.98682e10i | 1.28317 | + | 2.22251i | ||||
\(698\) | 2.00009e6 | − | 8.61919e6i | 0.000222616 | − | 0.000959340i | ||||
\(699\) | 5.50927e8 | + | 1.68671e9i | 0.0610132 | + | 0.186798i | ||||
\(700\) | −8.15741e9 | + | 1.66303e10i | −0.898896 | + | 1.83256i | ||||
\(701\) | −7.38841e9 | −0.810098 | −0.405049 | − | 0.914295i | \(-0.632746\pi\) | ||||
−0.405049 | + | 0.914295i | \(0.632746\pi\) | |||||||
\(702\) | 1.23474e10 | − | 2.44509e9i | 1.34709 | − | 0.266757i | ||||
\(703\) | − | 2.03528e9i | − | 0.220943i | ||||||
\(704\) | −8.46794e8 | + | 2.54765e9i | −0.0914689 | + | 0.275192i | ||||
\(705\) | −1.33639e9 | + | 4.36503e8i | −0.143639 | + | 0.0469164i | ||||
\(706\) | 3.07634e9 | − | 1.32572e10i | 0.329016 | − | 1.41786i | ||||
\(707\) | 1.93769e10 | − | 1.11873e10i | 2.06213 | − | 1.19057i | ||||
\(708\) | −2.58748e8 | + | 1.83177e9i | −0.0274007 | + | 0.193979i | ||||
\(709\) | 1.20228e10 | + | 6.94139e9i | 1.26691 | + | 0.731450i | 0.974402 | − | 0.224814i | \(-0.0721773\pi\) |
0.292507 | + | 0.956263i | \(0.405511\pi\) | |||||||
\(710\) | 2.57876e9 | − | 2.75916e9i | 0.270400 | − | 0.289316i | ||||
\(711\) | 4.73143e9 | − | 5.12068e8i | 0.493683 | − | 0.0534299i | ||||
\(712\) | −6.09932e9 | + | 7.48039e9i | −0.633288 | + | 0.776683i | ||||
\(713\) | −2.12831e9 | − | 1.22878e9i | −0.219898 | − | 0.126958i | ||||
\(714\) | −2.74552e10 | + | 2.41368e9i | −2.82281 | + | 0.248162i | ||||
\(715\) | −2.93971e9 | − | 5.09173e9i | −0.300769 | − | 0.520948i | ||||
\(716\) | −3.30926e9 | − | 4.93002e9i | −0.336927 | − | 0.501942i | ||||
\(717\) | 8.65557e9 | + | 7.76934e9i | 0.876957 | + | 0.787168i | ||||
\(718\) | −4.41851e9 | − | 1.45105e10i | −0.445492 | − | 1.46301i | ||||
\(719\) | −9.40961e9 | −0.944106 | −0.472053 | − | 0.881570i | \(-0.656487\pi\) | ||||
−0.472053 | + | 0.881570i | \(0.656487\pi\) | |||||||
\(720\) | 1.08971e10 | − | 1.04937e10i | 1.08804 | − | 1.04776i | ||||
\(721\) | −1.71531e10 | −1.70439 | ||||||||
\(722\) | 2.80466e9 | + | 9.21060e9i | 0.277332 | + | 0.910768i | ||||
\(723\) | 2.33121e9 | − | 1.10513e10i | 0.229402 | − | 1.08750i | ||||
\(724\) | 1.37578e9 | + | 2.04958e9i | 0.134730 | + | 0.200716i | ||||
\(725\) | −5.76460e9 | − | 9.98459e9i | −0.561806 | − | 0.973077i | ||||
\(726\) | −3.98734e9 | + | 8.56029e9i | −0.386727 | + | 0.830253i | ||||
\(727\) | −1.33679e10 | − | 7.71797e9i | −1.29031 | − | 0.744959i | −0.311599 | − | 0.950214i | \(-0.600865\pi\) |
−0.978709 | + | 0.205254i | \(0.934198\pi\) | |||||||
\(728\) | 1.76453e10 | + | 1.43876e10i | 1.69500 | + | 1.38206i | ||||
\(729\) | −3.32444e9 | − | 9.91802e9i | −0.317813 | − | 0.948153i | ||||
\(730\) | −1.28777e9 | + | 1.37786e9i | −0.122520 | + | 0.131092i | ||||
\(731\) | −5.23953e9 | − | 3.02504e9i | −0.496114 | − | 0.286432i | ||||
\(732\) | 6.76093e9 | − | 2.72608e9i | 0.637115 | − | 0.256892i | ||||
\(733\) | −6.34787e9 | + | 3.66494e9i | −0.595338 | + | 0.343719i | −0.767205 | − | 0.641401i | \(-0.778353\pi\) |
0.171867 | + | 0.985120i | \(0.445020\pi\) | |||||||
\(734\) | −1.12181e9 | + | 4.83432e9i | −0.104709 | + | 0.451231i | ||||
\(735\) | −5.15632e9 | + | 2.44441e10i | −0.478999 | + | 2.27074i | ||||
\(736\) | −5.59887e9 | − | 1.21849e10i | −0.517640 | − | 1.12655i | ||||
\(737\) | − | 4.17079e9i | − | 0.383780i | ||||||
\(738\) | −1.56358e10 | − | 1.88865e9i | −1.43193 | − | 0.172963i | ||||
\(739\) | −1.42877e10 | −1.30229 | −0.651145 | − | 0.758954i | \(-0.725711\pi\) | ||||
−0.651145 | + | 0.758954i | \(0.725711\pi\) | |||||||
\(740\) | 7.39920e9 | − | 1.50846e10i | 0.671233 | − | 1.36843i | ||||
\(741\) | 2.22456e9 | − | 2.47831e9i | 0.200854 | − | 0.223765i | ||||
\(742\) | −1.15003e8 | + | 4.95592e8i | −0.0103346 | + | 0.0445360i | ||||
\(743\) | −5.12568e9 | − | 8.87793e9i | −0.458448 | − | 0.794056i | 0.540431 | − | 0.841388i | \(-0.318261\pi\) |
−0.998879 | + | 0.0473326i | \(0.984928\pi\) | |||||||
\(744\) | −2.27298e9 | + | 3.55757e8i | −0.202344 | + | 0.0316700i | ||||
\(745\) | 5.60560e9 | − | 9.70919e9i | 0.496679 | − | 0.860273i | ||||
\(746\) | 1.10240e9 | + | 1.03033e9i | 0.0972199 | + | 0.0908633i | ||||
\(747\) | −1.54971e10 | + | 1.67721e9i | −1.36028 | + | 0.147219i | ||||
\(748\) | −3.98753e8 | − | 5.89252e9i | −0.0348376 | − | 0.514808i | ||||
\(749\) | 1.53720e10 | − | 2.66251e10i | 1.33673 | − | 2.31529i | ||||
\(750\) | 2.82091e9 | + | 4.02507e9i | 0.244161 | + | 0.348385i | ||||
\(751\) | −6.81429e9 | + | 3.93423e9i | −0.587057 | + | 0.338938i | −0.763933 | − | 0.645295i | \(-0.776734\pi\) |
0.176876 | + | 0.984233i | \(0.443401\pi\) | |||||||
\(752\) | 7.14098e8 | + | 9.22512e8i | 0.0612344 | + | 0.0791060i | ||||
\(753\) | 5.95601e9 | + | 1.82349e10i | 0.508362 | + | 1.55640i | ||||
\(754\) | −1.35564e10 | + | 4.12796e9i | −1.15171 | + | 0.350700i | ||||
\(755\) | − | 1.66383e10i | − | 1.40700i | ||||||
\(756\) | 9.98803e9 | − | 1.60694e10i | 0.840724 | − | 1.35261i | ||||
\(757\) | 1.44178e8i | 0.0120799i | 0.999982 | + | 0.00603995i | \(0.00192259\pi\) | ||||
−0.999982 | + | 0.00603995i | \(0.998077\pi\) | |||||||
\(758\) | −2.48961e9 | − | 8.17597e9i | −0.207630 | − | 0.681863i | ||||
\(759\) | 1.34469e9 | + | 4.11690e9i | 0.111629 | + | 0.341762i | ||||
\(760\) | 6.39447e8 | − | 3.95115e9i | 0.0528393 | − | 0.326494i | ||||
\(761\) | −1.79888e9 | + | 1.03858e9i | −0.147964 | + | 0.0854270i | −0.572154 | − | 0.820146i | \(-0.693892\pi\) |
0.424190 | + | 0.905573i | \(0.360559\pi\) | |||||||
\(762\) | 4.66555e9 | − | 3.26978e9i | 0.381997 | − | 0.267717i | ||||
\(763\) | −1.27709e10 | + | 2.21199e10i | −1.04085 | + | 1.80280i | ||||
\(764\) | −2.61084e8 | − | 3.85813e9i | −0.0211813 | − | 0.313004i | ||||
\(765\) | −1.34423e10 | + | 3.04446e10i | −1.08557 | + | 2.45864i | ||||
\(766\) | 1.57726e9 | − | 1.68760e9i | 0.126795 | − | 0.135665i | ||||
\(767\) | −1.68092e9 | + | 2.91144e9i | −0.134513 | + | 0.232983i | ||||
\(768\) | −1.12418e10 | − | 5.58684e9i | −0.895509 | − | 0.445043i | ||||
\(769\) | −3.40743e9 | − | 5.90183e9i | −0.270199 | − | 0.467999i | 0.698713 | − | 0.715402i | \(-0.253756\pi\) |
−0.968913 | + | 0.247403i | \(0.920423\pi\) | |||||||
\(770\) | −8.60895e9 | − | 1.99771e9i | −0.679568 | − | 0.157694i | ||||
\(771\) | 7.14376e9 | − | 7.95863e9i | 0.561354 | − | 0.625386i | ||||
\(772\) | −7.60033e9 | − | 3.72807e9i | −0.594527 | − | 0.291624i | ||||
\(773\) | 4.91311e9 | 0.382585 | 0.191293 | − | 0.981533i | \(-0.438732\pi\) | ||||
0.191293 | + | 0.981533i | \(0.438732\pi\) | |||||||
\(774\) | 3.81998e9 | − | 1.63035e9i | 0.296120 | − | 0.126383i | ||||
\(775\) | − | 3.40149e9i | − | 0.262490i | ||||||
\(776\) | −1.41496e10 | + | 5.37692e9i | −1.08700 | + | 0.413064i | ||||
\(777\) | 4.33718e9 | − | 2.05609e10i | 0.331691 | − | 1.57242i | ||||
\(778\) | −9.48949e9 | − | 2.20204e9i | −0.722461 | − | 0.167648i | ||||
\(779\) | −3.60865e9 | + | 2.08346e9i | −0.273504 | + | 0.157908i | ||||
\(780\) | 2.54972e10 | − | 1.02808e10i | 1.92381 | − | 0.775700i | ||||
\(781\) | 8.76550e8 | + | 5.06076e8i | 0.0658412 | + | 0.0380134i | ||||
\(782\) | 2.15520e10 | + | 2.01429e10i | 1.61163 | + | 1.50625i | ||||
\(783\) | 4.83970e9 | + | 1.07361e10i | 0.360290 | + | 0.799242i | ||||
\(784\) | 2.05412e10 | − | 2.79289e9i | 1.52237 | − | 0.206989i | ||||
\(785\) | 1.19304e10 | + | 6.88802e9i | 0.880260 | + | 0.508218i | ||||
\(786\) | −2.46647e9 | − | 1.14887e9i | −0.181174 | − | 0.0843900i | ||||
\(787\) | 1.64787e9 | + | 2.85420e9i | 0.120507 | + | 0.208724i | 0.919968 | − | 0.391994i | \(-0.128215\pi\) |
−0.799461 | + | 0.600718i | \(0.794881\pi\) | |||||||
\(788\) | 1.49267e10 | − | 1.00195e10i | 1.08673 | − | 0.729467i | ||||
\(789\) | 9.67205e8 | − | 4.58514e9i | 0.0701050 | − | 0.332340i | ||||
\(790\) | 9.94354e9 | − | 3.02784e9i | 0.717540 | − | 0.218494i | ||||
\(791\) | −3.11500e10 | −2.23790 | ||||||||
\(792\) | 3.39971e9 | + | 2.20915e9i | 0.243166 | + | 0.158011i | ||||
\(793\) | 1.32475e10 | 0.943362 | ||||||||
\(794\) | 2.32972e10 | − | 7.09407e9i | 1.65170 | − | 0.502949i | ||||
\(795\) | 4.57170e8 | + | 4.10362e8i | 0.0322696 | + | 0.0289656i | ||||
\(796\) | 1.44168e10 | + | 2.14777e10i | 1.01315 | + | 1.50936i | ||||
\(797\) | −2.29482e8 | − | 3.97475e8i | −0.0160563 | − | 0.0278103i | 0.857886 | − | 0.513841i | \(-0.171778\pi\) |
−0.873942 | + | 0.486030i | \(0.838444\pi\) | |||||||
\(798\) | −4.38395e8 | − | 4.98668e9i | −0.0305390 | − | 0.347377i | ||||
\(799\) | −2.22255e9 | − | 1.28319e9i | −0.154148 | − | 0.0889974i | ||||
\(800\) | 1.07308e10 | − | 1.51436e10i | 0.741001 | − | 1.04572i | ||||
\(801\) | 8.60403e9 | + | 1.17659e10i | 0.591545 | + | 0.808928i | ||||
\(802\) | 4.86073e9 | + | 4.54292e9i | 0.332730 | + | 0.310974i | ||||
\(803\) | −4.37729e8 | − | 2.52723e8i | −0.0298332 | − | 0.0172242i | ||||
\(804\) | 1.93107e10 | + | 2.72775e9i | 1.31039 | + | 0.185101i | ||||
\(805\) | 3.82290e10 | − | 2.20715e10i | 2.58290 | − | 1.49124i | ||||
\(806\) | −4.07267e9 | − | 9.45066e8i | −0.273972 | − | 0.0635754i | ||||
\(807\) | −5.23295e9 | + | 1.70923e9i | −0.350501 | + | 0.114483i | ||||
\(808\) | −2.09570e10 | + | 7.96377e9i | −1.39762 | + | 0.531103i | ||||
\(809\) | 1.27052e10i | 0.843648i | 0.906678 | + | 0.421824i | \(0.138610\pi\) | ||||
−0.906678 | + | 0.421824i | \(0.861390\pi\) | |||||||
\(810\) | −1.11771e10 | − | 1.99259e10i | −0.738976 | − | 1.31741i | ||||
\(811\) | 1.28555e9 | 0.0846281 | 0.0423141 | − | 0.999104i | \(-0.486527\pi\) | ||||
0.0423141 | + | 0.999104i | \(0.486527\pi\) | |||||||
\(812\) | −9.38075e9 | + | 1.91243e10i | −0.614882 | + | 1.25354i | ||||
\(813\) | 9.33030e8 | + | 2.85656e9i | 0.0608946 | + | 0.186434i | ||||
\(814\) | 4.38633e9 | + | 1.01785e9i | 0.285047 | + | 0.0661454i | ||||
\(815\) | 1.05434e10 | + | 1.82617e10i | 0.682229 | + | 1.18165i | ||||
\(816\) | 2.75430e10 | + | 2.00756e9i | 1.77458 | + | 0.129346i | ||||
\(817\) | 5.49437e8 | − | 9.51653e8i | 0.0352485 | − | 0.0610522i | ||||
\(818\) | −5.48309e9 | + | 5.86668e9i | −0.350259 | + | 0.374762i | ||||
\(819\) | 2.77543e10 | − | 2.02959e10i | 1.76537 | − | 1.29096i | ||||
\(820\) | −3.43200e10 | + | 2.32248e9i | −2.17370 | + | 0.147097i | ||||
\(821\) | −1.16104e10 | + | 2.01099e10i | −0.732229 | + | 1.26826i | 0.223699 | + | 0.974658i | \(0.428187\pi\) |
−0.955928 | + | 0.293600i | \(0.905147\pi\) | |||||||
\(822\) | 9.52167e8 | + | 1.08308e10i | 0.0597945 | + | 0.680154i | ||||
\(823\) | −8.69944e9 | + | 5.02263e9i | −0.543991 | + | 0.314074i | −0.746695 | − | 0.665167i | \(-0.768361\pi\) |
0.202704 | + | 0.979240i | \(0.435027\pi\) | |||||||
\(824\) | 1.69665e10 | + | 2.74583e9i | 1.05645 | + | 0.170974i | ||||
\(825\) | −4.00416e9 | + | 4.46090e9i | −0.248269 | + | 0.276588i | ||||
\(826\) | 1.47204e9 | + | 4.83422e9i | 0.0908843 | + | 0.298467i | ||||
\(827\) | − | 2.01241e10i | − | 1.23722i | −0.785698 | − | 0.618611i | \(-0.787696\pi\) | ||
0.785698 | − | 0.618611i | \(-0.212304\pi\) | |||||||
\(828\) | −1.99406e10 | + | 3.53339e9i | −1.22077 | + | 0.216315i | ||||
\(829\) | 1.60240e10i | 0.976857i | 0.872604 | + | 0.488429i | \(0.162430\pi\) | ||||
−0.872604 | + | 0.488429i | \(0.837570\pi\) | |||||||
\(830\) | −3.25687e10 | + | 9.91729e9i | −1.97709 | + | 0.602032i | ||||
\(831\) | 2.11671e10 | + | 4.46506e9i | 1.27955 | + | 0.269913i | ||||
\(832\) | −1.51503e10 | − | 1.70557e10i | −0.911988 | − | 1.02669i | ||||
\(833\) | −3.94941e10 | + | 2.28019e10i | −2.36742 | + | 1.36683i | ||||
\(834\) | 2.29549e9 | − | 4.92811e9i | 0.137023 | − | 0.294171i | ||||
\(835\) | 9.15643e9 | − | 1.58594e10i | 0.544282 | − | 0.942723i | ||||
\(836\) | 1.07025e9 | − | 7.24253e7i | 0.0633527 | − | 0.00428715i | ||||
\(837\) | −3.47171e8 | + | 3.45705e9i | −0.0204646 | + | 0.203783i | ||||
\(838\) | 1.80189e9 | + | 1.68408e9i | 0.105773 | + | 0.0988570i | ||||
\(839\) | 2.58730e9 | − | 4.48134e9i | 0.151245 | − | 0.261963i | −0.780441 | − | 0.625230i | \(-0.785005\pi\) |
0.931685 | + | 0.363266i | \(0.118339\pi\) | |||||||
\(840\) | 1.48797e10 | − | 3.85527e10i | 0.866199 | − | 2.24428i | ||||
\(841\) | 1.99584e9 | + | 3.45689e9i | 0.115701 | + | 0.200401i | ||||
\(842\) | 2.69969e9 | − | 1.16340e10i | 0.155855 | − | 0.671643i | ||||
\(843\) | 1.59014e10 | + | 3.35429e9i | 0.914194 | + | 0.192843i | ||||
\(844\) | −1.86867e9 | − | 9.16609e8i | −0.106988 | − | 0.0524790i | ||||
\(845\) | 2.34673e10 | 1.33803 | ||||||||
\(846\) | 1.62039e9 | − | 6.91576e8i | 0.0920076 | − | 0.0392685i | ||||
\(847\) | 2.57958e10i | 1.45867i | ||||||||
\(848\) | 1.93085e8 | − | 4.71793e8i | 0.0108734 | − | 0.0265684i | ||||
\(849\) | −1.02394e8 | − | 9.19103e7i | −0.00574246 | − | 0.00515451i | ||||
\(850\) | −9.22941e9 | + | 3.97732e10i | −0.515475 | + | 2.22139i | ||||
\(851\) | −1.94780e10 | + | 1.12456e10i | −1.08340 | + | 0.625503i | ||||
\(852\) | −2.91640e9 | + | 3.72743e9i | −0.161550 | + | 0.206476i | ||||
\(853\) | −2.09162e10 | − | 1.20760e10i | −1.15388 | − | 0.666194i | −0.204051 | − | 0.978960i | \(-0.565411\pi\) |
−0.949830 | + | 0.312767i | \(0.898744\pi\) | |||||||
\(854\) | 1.35970e10 | − | 1.45483e10i | 0.747036 | − | 0.799297i | ||||
\(855\) | −5.52963e9 | − | 2.44152e9i | −0.302562 | − | 0.133592i | ||||
\(856\) | −1.94669e10 | + | 2.38748e10i | −1.06081 | + | 1.30101i | ||||
\(857\) | 1.72007e10 | + | 9.93085e9i | 0.933500 | + | 0.538956i | 0.887917 | − | 0.460004i | \(-0.152152\pi\) |
0.0455832 | + | 0.998961i | \(0.485485\pi\) | |||||||
\(858\) | 4.22861e9 | + | 6.03367e9i | 0.228556 | + | 0.326119i | ||||
\(859\) | −7.22479e9 | − | 1.25137e10i | −0.388910 | − | 0.673612i | 0.603393 | − | 0.797444i | \(-0.293815\pi\) |
−0.992303 | + | 0.123832i | \(0.960482\pi\) | |||||||
\(860\) | 7.53188e9 | − | 5.05575e9i | 0.403793 | − | 0.271045i | ||||
\(861\) | −4.08953e10 | + | 1.33575e10i | −2.18355 | + | 0.713206i | ||||
\(862\) | −4.15864e9 | − | 1.36571e10i | −0.221144 | − | 0.726245i | ||||
\(863\) | −2.94148e10 | −1.55786 | −0.778930 | − | 0.627111i | \(-0.784237\pi\) | ||||
−0.778930 | + | 0.627111i | \(0.784237\pi\) | |||||||
\(864\) | −1.24518e10 | + | 1.42958e10i | −0.656799 | + | 0.754066i | ||||
\(865\) | 3.61006e10 | 1.89652 | ||||||||
\(866\) | −8.02298e9 | − | 2.63477e10i | −0.419781 | − | 1.37858i | ||||
\(867\) | −3.95082e10 | + | 1.29045e10i | −2.05883 | + | 0.672470i | ||||
\(868\) | −5.21798e9 | + | 3.50255e9i | −0.270822 | + | 0.181788i | ||||
\(869\) | 1.39286e9 | + | 2.41250e9i | 0.0720009 | + | 0.124709i | ||||
\(870\) | 1.47619e10 | + | 2.10633e10i | 0.760021 | + | 1.08445i | ||||
\(871\) | 3.06927e10 | + | 1.77204e10i | 1.57388 | + | 0.908679i | ||||
\(872\) | 1.61729e10 | − | 1.98350e10i | 0.826002 | − | 1.01303i | ||||
\(873\) | 2.45965e9 | + | 2.27268e10i | 0.125119 | + | 1.15608i | ||||
\(874\) | −3.65853e9 | + | 3.91448e9i | −0.185360 | + | 0.198328i | ||||
\(875\) | 1.16276e10 | + | 6.71318e9i | 0.586760 | + | 0.338766i | ||||
\(876\) | 1.45638e9 | − | 1.86139e9i | 0.0731999 | − | 0.0935563i | ||||
\(877\) | 1.08616e10 | − | 6.27097e9i | 0.543747 | − | 0.313932i | −0.202849 | − | 0.979210i | \(-0.565020\pi\) |
0.746596 | + | 0.665278i | \(0.231687\pi\) | |||||||
\(878\) | −5.23203e9 | + | 2.25469e10i | −0.260879 | + | 1.12423i | ||||
\(879\) | 5.12610e8 | + | 4.60125e8i | 0.0254581 | + | 0.0228515i | ||||
\(880\) | 8.19553e9 | + | 3.35409e9i | 0.405404 | + | 0.165915i | ||||
\(881\) | − | 2.15802e10i | − | 1.06326i | −0.846977 | − | 0.531630i | \(-0.821580\pi\) | ||
0.846977 | − | 0.531630i | \(-0.178420\pi\) | |||||||
\(882\) | 3.75426e9 | − | 3.10808e10i | 0.184240 | − | 1.52529i | ||||
\(883\) | 3.23716e10 | 1.58235 | 0.791174 | − | 0.611591i | \(-0.209470\pi\) | ||||
0.791174 | + | 0.611591i | \(0.209470\pi\) | |||||||
\(884\) | 4.50570e10 | + | 2.21011e10i | 2.19371 | + | 1.07605i | ||||
\(885\) | 5.97057e9 | + | 1.25945e9i | 0.289544 | + | 0.0610774i | ||||
\(886\) | 5.94979e9 | − | 2.56400e10i | 0.287398 | − | 1.23851i | ||||
\(887\) | −6.89367e9 | − | 1.19402e10i | −0.331679 | − | 0.574485i | 0.651162 | − | 0.758939i | \(-0.274282\pi\) |
−0.982841 | + | 0.184454i | \(0.940948\pi\) | |||||||
\(888\) | −7.58135e9 | + | 1.96429e10i | −0.363330 | + | 0.941372i | ||||
\(889\) | 7.78139e9 | − | 1.34778e10i | 0.371450 | − | 0.643371i | ||||
\(890\) | 2.32590e10 | + | 2.17382e10i | 1.10593 | + | 1.03362i | ||||
\(891\) | 4.52487e9 | − | 4.12509e9i | 0.214306 | − | 0.195372i | ||||
\(892\) | −2.58655e10 | + | 1.75035e9i | −1.22024 | + | 0.0825748i | ||||
\(893\) | 2.33065e8 | − | 4.03680e8i | 0.0109521 | − | 0.0189696i | ||||
\(894\) | −5.93224e9 | + | 1.27357e10i | −0.277675 | + | 0.596132i | ||||
\(895\) | −1.69613e10 | + | 9.79259e9i | −0.790820 | + | 0.456580i | ||||
\(896\) | −3.42804e10 | − | 8.67852e8i | −1.59209 | − | 0.0403058i | ||||
\(897\) | −3.60093e10 | − | 7.59592e9i | −1.66587 | − | 0.351404i | ||||
\(898\) | −1.60470e10 | + | 4.88638e9i | −0.739482 | + | 0.225175i | ||||
\(899\) | − | 3.91160e9i | − | 0.179554i | ||||||
\(900\) | −1.80351e10 | − | 2.14567e10i | −0.824651 | − | 0.981101i | ||||
\(901\) | 1.12144e9i | 0.0510787i | ||||||||
\(902\) | −2.68546e9 | − | 8.81914e9i | −0.121842 | − | 0.400132i | ||||
\(903\) | 7.57851e9 | − | 8.44296e9i | 0.342513 | − | 0.381582i | ||||
\(904\) | 3.08112e10 | + | 4.98644e9i | 1.38714 | + | 0.224492i | ||||
\(905\) | 7.05140e9 | − | 4.07113e9i | 0.316232 | − | 0.182576i | ||||
\(906\) | 1.82601e9 | + | 2.07706e10i | 0.0815744 | + | 0.927897i | ||||
\(907\) | −2.01816e10 | + | 3.49556e10i | −0.898111 | + | 1.55557i | −0.0682055 | + | 0.997671i | \(0.521727\pi\) |
−0.829906 | + | 0.557903i | \(0.811606\pi\) | |||||||
\(908\) | −2.16930e10 | + | 1.46799e9i | −0.961654 | + | 0.0650763i | ||||
\(909\) | 3.64300e9 | + | 3.36608e10i | 0.160874 | + | 1.48645i | ||||
\(910\) | 5.12779e10 | − | 5.48652e10i | 2.25572 | − | 2.41353i | ||||
\(911\) | 1.40597e10 | − | 2.43520e10i | 0.616113 | − | 1.06714i | −0.374075 | − | 0.927398i | \(-0.622040\pi\) |
0.990188 | − | 0.139741i | \(-0.0446269\pi\) | |||||||
\(912\) | −3.64631e8 | + | 5.00262e9i | −0.0159174 | + | 0.218381i | ||||
\(913\) | −4.56212e9 | − | 7.90182e9i | −0.198390 | − | 0.343621i | ||||
\(914\) | 3.45357e10 | + | 8.01404e9i | 1.49609 | + | 0.347168i | ||||
\(915\) | −7.46564e9 | − | 2.28568e10i | −0.322176 | − | 0.986372i | ||||
\(916\) | 8.61173e8 | − | 1.75565e9i | 0.0370217 | − | 0.0754752i | ||||
\(917\) | −7.43250e9 | −0.318304 | ||||||||
\(918\) | 1.34396e10 | − | 3.94810e10i | 0.573373 | − | 1.68437i | ||||
\(919\) | − | 2.37663e10i | − | 1.01008i | −0.863095 | − | 0.505041i | \(-0.831477\pi\) | ||
0.863095 | − | 0.505041i | \(-0.168523\pi\) | |||||||
\(920\) | −4.13463e10 | + | 1.57118e10i | −1.75057 | + | 0.665226i | ||||
\(921\) | −5.34052e9 | + | 1.74436e9i | −0.225255 | + | 0.0735745i | ||||
\(922\) | −2.01502e10 | − | 4.67586e9i | −0.846682 | − | 0.196473i | ||||
\(923\) | −7.44839e9 | + | 4.30033e9i | −0.311786 | + | 0.180010i | ||||
\(924\) | 1.09663e10 | + | 1.54905e9i | 0.457307 | + | 0.0645973i | ||||
\(925\) | −2.69593e10 | − | 1.55649e10i | −1.11998 | − | 0.646623i | ||||
\(926\) | −2.02528e10 | − | 1.89286e10i | −0.838197 | − | 0.783392i | ||||
\(927\) | 1.04841e10 | − | 2.37447e10i | 0.432266 | − | 0.979009i | ||||
\(928\) | 1.23401e10 | − | 1.74147e10i | 0.506875 | − | 0.715314i | ||||
\(929\) | 5.92378e9 | + | 3.42009e9i | 0.242406 | + | 0.139953i | 0.616282 | − | 0.787525i | \(-0.288638\pi\) |
−0.373876 | + | 0.927479i | \(0.621971\pi\) | |||||||
\(930\) | 6.64573e8 | + | 7.55942e9i | 0.0270927 | + | 0.308175i | ||||
\(931\) | −4.14150e9 | − | 7.17329e9i | −0.168203 | − | 0.291336i | ||||
\(932\) | −2.70677e9 | − | 4.03245e9i | −0.109521 | − | 0.163160i | ||||
\(933\) | 1.38643e9 | + | 1.24447e9i | 0.0558870 | + | 0.0501649i | ||||
\(934\) | 1.86126e10 | − | 5.66762e9i | 0.747470 | − | 0.227607i | ||||
\(935\) | −1.94806e10 | −0.779401 | ||||||||
\(936\) | −3.07013e10 | + | 1.56323e10i | −1.22375 | + | 0.623099i | ||||
\(937\) | 6.50383e9 | 0.258274 | 0.129137 | − | 0.991627i | \(-0.458779\pi\) | ||||
0.129137 | + | 0.991627i | \(0.458779\pi\) | |||||||
\(938\) | 5.09628e10 | − | 1.55184e10i | 2.01625 | − | 0.613954i | ||||
\(939\) | −9.01364e9 | + | 4.27301e10i | −0.355280 | + | 1.68424i | ||||
\(940\) | 3.19494e9 | − | 2.14459e9i | 0.125463 | − | 0.0842165i | ||||
\(941\) | 9.55473e8 | + | 1.65493e9i | 0.0373813 | + | 0.0647464i | 0.884111 | − | 0.467277i | \(-0.154765\pi\) |
−0.846729 | + | 0.532024i | \(0.821432\pi\) | |||||||
\(942\) | −1.56493e10 | − | 7.28938e9i | −0.609983 | − | 0.284127i | ||||
\(943\) | 3.98781e10 | + | 2.30236e10i | 1.54861 | + | 0.894093i | ||||
\(944\) | −6.82175e8 | − | 5.01728e9i | −0.0263933 | − | 0.194118i | ||||
\(945\) | −5.06587e10 | − | 3.64484e10i | −1.95273 | − | 1.40497i | ||||
\(946\) | 1.77618e9 | + | 1.66004e9i | 0.0682131 | + | 0.0637530i | ||||
\(947\) | 8.98857e9 | + | 5.18955e9i | 0.343927 | + | 0.198566i | 0.662007 | − | 0.749498i | \(-0.269705\pi\) |
−0.318080 | + | 0.948064i | \(0.603038\pi\) | |||||||
\(948\) | −1.20808e10 | + | 4.87110e9i | −0.460538 | + | 0.185694i | ||||
\(949\) | 3.71955e9 | − | 2.14748e9i | 0.141273 | − | 0.0815639i | ||||
\(950\) | −7.22399e9 | − | 1.67633e9i | −0.273366 | − | 0.0634348i | ||||
\(951\) | 2.33474e9 | − | 1.10681e10i | 0.0880252 | − | 0.417293i | ||||
\(952\) | 7.05169e10 | − | 2.67968e10i | 2.64889 | − | 1.00659i | ||||
\(953\) | − | 1.32327e10i | − | 0.495248i | −0.968856 | − | 0.247624i | \(-0.920350\pi\) | ||
0.968856 | − | 0.247624i | \(-0.0796498\pi\) | |||||||
\(954\) | −6.15748e8 | − | 4.62105e8i | −0.0229606 | − | 0.0172314i | ||||
\(955\) | −1.27549e10 | −0.473877 | ||||||||
\(956\) | −2.85817e10 | − | 1.40197e10i | −1.05800 | − | 0.518964i | ||||
\(957\) | −4.60465e9 | + | 5.12989e9i | −0.169826 | + | 0.189198i | ||||
\(958\) | −7.29208e9 | − | 1.69213e9i | −0.267961 | − | 0.0621806i | ||||
\(959\) | 1.48498e10 | + | 2.57206e10i | 0.543696 | + | 0.941709i | ||||
\(960\) | −2.08893e10 | + | 3.57515e10i | −0.762036 | + | 1.30420i | ||||
\(961\) | −1.31793e10 | + | 2.28272e10i | −0.479027 | + | 0.829699i | ||||
\(962\) | −2.61265e10 | + | 2.79543e10i | −0.946170 | + | 1.01236i | ||||
\(963\) | 2.74611e10 | + | 3.75526e10i | 0.990890 | + | 1.35503i | ||||
\(964\) | 2.08721e9 | + | 3.08434e10i | 0.0750405 | + | 1.10890i | ||||
\(965\) | −1.39614e10 | + | 2.41818e10i | −0.500129 | + | 0.866249i | ||||
\(966\) | −4.53011e10 | + | 3.17486e10i | −1.61692 | + | 1.13320i | ||||
\(967\) | 8.76214e9 | − | 5.05882e9i | 0.311614 | − | 0.179911i | −0.336034 | − | 0.941850i | \(-0.609086\pi\) |
0.647649 | + | 0.761939i | \(0.275752\pi\) | |||||||
\(968\) | 4.12934e9 | − | 2.55152e10i | 0.146324 | − | 0.904139i | ||||
\(969\) | −3.42599e9 | − | 1.04890e10i | −0.120963 | − | 0.370340i | ||||
\(970\) | 1.45439e10 | + | 4.77625e10i | 0.511657 | + | 1.68030i | ||||
\(971\) | − | 1.07669e10i | − | 0.377419i | −0.982033 | − | 0.188709i | \(-0.939570\pi\) | ||
0.982033 | − | 0.188709i | \(-0.0604304\pi\) | |||||||
\(972\) | 1.61398e10 | + | 2.36479e10i | 0.563723 | + | 0.825964i | ||||
\(973\) | − | 1.48505e10i | − | 0.516827i | ||||||
\(974\) | −6.46890e9 | + | 1.96980e9i | −0.224323 | + | 0.0683072i | ||||
\(975\) | −1.58151e10 | − | 4.84195e10i | −0.546458 | − | 1.67303i | ||||
\(976\) | −1.57780e10 | + | 1.22134e10i | −0.543222 | + | 0.420498i | ||||
\(977\) | 2.24873e10 | − | 1.29831e10i | 0.771449 | − | 0.445396i | −0.0619425 | − | 0.998080i | \(-0.519730\pi\) |
0.833391 | + | 0.552684i | \(0.186396\pi\) | |||||||
\(978\) | −1.51661e10 | − | 2.16401e10i | −0.518428 | − | 0.739729i | ||||
\(979\) | −4.26609e9 | + | 7.38908e9i | −0.145308 | + | 0.251681i | ||||
\(980\) | −4.61662e9 | − | 6.82214e10i | −0.156687 | − | 2.31542i | ||||
\(981\) | −2.28144e10 | − | 3.11983e10i | −0.771557 | − | 1.05509i | ||||
\(982\) | 4.78535e9 | + | 4.47246e9i | 0.161259 | + | 0.150715i | ||||
\(983\) | 9.76384e9 | − | 1.69115e10i | 0.327856 | − | 0.567864i | −0.654230 | − | 0.756296i | \(-0.727007\pi\) |
0.982086 | + | 0.188432i | \(0.0603405\pi\) | |||||||
\(984\) | 4.25887e10 | − | 6.66580e9i | 1.42499 | − | 0.223033i | ||||
\(985\) | −2.96493e10 | − | 5.13540e10i | −0.988523 | − | 1.71217i | ||||
\(986\) | −1.06135e10 | + | 4.57379e10i | −0.352606 | + | 1.51952i | ||||
\(987\) | 3.21472e9 | − | 3.58141e9i | 0.106422 | − | 0.118562i | ||||
\(988\) | −4.01421e9 | + | 8.18367e9i | −0.132419 | + | 0.269960i | ||||
\(989\) | −1.21433e10 | −0.399163 | ||||||||
\(990\) | 8.02723e9 | − | 1.06962e10i | 0.262932 | − | 0.350352i | ||||
\(991\) | − | 2.57177e10i | − | 0.839410i | −0.907661 | − | 0.419705i | \(-0.862134\pi\) | ||
0.907661 | − | 0.419705i | \(-0.137866\pi\) | |||||||
\(992\) | 5.72191e9 | − | 2.62917e9i | 0.186102 | − | 0.0855123i | ||||
\(993\) | 8.60972e9 | − | 4.08153e10i | 0.279040 | − | 1.32282i | ||||
\(994\) | −2.92234e9 | + | 1.25935e10i | −0.0943795 | + | 0.406719i | ||||
\(995\) | 7.38919e10 | − | 4.26615e10i | 2.37802 | − | 1.37295i | ||||
\(996\) | 3.95690e10 | − | 1.59546e10i | 1.26896 | − | 0.511657i | ||||
\(997\) | −2.48407e10 | − | 1.43418e10i | −0.793837 | − | 0.458322i | 0.0474744 | − | 0.998872i | \(-0.484883\pi\) |
−0.841312 | + | 0.540550i | \(0.818216\pi\) | |||||||
\(998\) | −1.92980e10 | + | 2.06481e10i | −0.614548 | + | 0.657541i | ||||
\(999\) | 2.58110e10 | + | 1.85708e10i | 0.819080 | + | 0.589320i |
(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 | 72.8.l.b.11.35 | yes | 160 | |
8.3 | odd | 2 | inner | 72.8.l.b.11.7 | ✓ | 160 | |
9.5 | odd | 6 | inner | 72.8.l.b.59.7 | yes | 160 | |
72.59 | even | 6 | inner | 72.8.l.b.59.35 | yes | 160 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
72.8.l.b.11.7 | ✓ | 160 | 8.3 | odd | 2 | inner | |
72.8.l.b.11.35 | yes | 160 | 1.1 | even | 1 | trivial | |
72.8.l.b.59.7 | yes | 160 | 9.5 | odd | 6 | inner | |
72.8.l.b.59.35 | yes | 160 | 72.59 | even | 6 | inner |