Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [43,8,Mod(9,43)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(43, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 8, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("43.9");
S:= CuspForms(chi, 8);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 43 \) |
Weight: | \( k \) | \(=\) | \( 8 \) |
Character orbit: | \([\chi]\) | \(=\) | 43.g (of order \(21\), degree \(12\), 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: | \(13.4325560958\) |
Analytic rank: | \(0\) |
Dimension: | \(300\) |
Relative dimension: | \(25\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 9.5 | ||
Character | \(\chi\) | \(=\) | 43.9 |
Dual form | 43.8.g.a.24.5 |
$q$-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 \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{1}{21}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −9.86658 | − | 12.3723i | −0.872091 | − | 1.09357i | −0.994873 | − | 0.101134i | \(-0.967753\pi\) |
0.122782 | − | 0.992434i | \(-0.460818\pi\) | |||||||
\(3\) | −10.7092 | − | 1.61415i | −0.228998 | − | 0.0345160i | 0.0335405 | − | 0.999437i | \(-0.489322\pi\) |
−0.262539 | + | 0.964921i | \(0.584560\pi\) | |||||||
\(4\) | −27.2418 | + | 119.354i | −0.212826 | + | 0.932452i | ||||
\(5\) | 180.379 | + | 122.981i | 0.645345 | + | 0.439989i | 0.841259 | − | 0.540632i | \(-0.181815\pi\) |
−0.195914 | + | 0.980621i | \(0.562767\pi\) | |||||||
\(6\) | 85.6924 | + | 148.424i | 0.161962 | + | 0.280526i | ||||
\(7\) | 797.705 | − | 1381.66i | 0.879020 | − | 1.52251i | 0.0266030 | − | 0.999646i | \(-0.491531\pi\) |
0.852417 | − | 0.522862i | \(-0.175136\pi\) | |||||||
\(8\) | −79.5102 | + | 38.2901i | −0.0549045 | + | 0.0264406i | ||||
\(9\) | −1977.76 | − | 610.057i | −0.904324 | − | 0.278947i | ||||
\(10\) | −258.175 | − | 3445.11i | −0.0816421 | − | 1.08944i | ||||
\(11\) | −774.777 | − | 3394.52i | −0.175510 | − | 0.768960i | −0.983668 | − | 0.179994i | \(-0.942392\pi\) |
0.808158 | − | 0.588966i | \(-0.200465\pi\) | |||||||
\(12\) | 484.392 | − | 1234.21i | 0.0809213 | − | 0.206184i | ||||
\(13\) | −123.816 | + | 1652.21i | −0.0156306 | + | 0.208575i | 0.983920 | + | 0.178608i | \(0.0571594\pi\) |
−0.999551 | + | 0.0299674i | \(0.990460\pi\) | |||||||
\(14\) | −24965.0 | + | 3762.87i | −2.43155 | + | 0.366497i | ||||
\(15\) | −1733.21 | − | 1608.18i | −0.132596 | − | 0.123031i | ||||
\(16\) | 15376.6 | + | 7404.97i | 0.938512 | + | 0.451964i | ||||
\(17\) | 16246.2 | − | 11076.5i | 0.802012 | − | 0.546803i | −0.0915192 | − | 0.995803i | \(-0.529172\pi\) |
0.893531 | + | 0.449001i | \(0.148220\pi\) | |||||||
\(18\) | 11965.9 | + | 30488.6i | 0.483605 | + | 1.23221i | ||||
\(19\) | −22107.6 | + | 6819.29i | −0.739442 | + | 0.228088i | −0.641520 | − | 0.767107i | \(-0.721696\pi\) |
−0.0979220 | + | 0.995194i | \(0.531220\pi\) | |||||||
\(20\) | −19592.1 | + | 18178.8i | −0.547615 | + | 0.508112i | ||||
\(21\) | −10773.0 | + | 13508.9i | −0.253845 | + | 0.318312i | ||||
\(22\) | −34353.6 | + | 43078.1i | −0.687849 | + | 0.862535i | ||||
\(23\) | −54351.5 | + | 50430.8i | −0.931460 | + | 0.864268i | −0.990987 | − | 0.133958i | \(-0.957231\pi\) |
0.0595272 | + | 0.998227i | \(0.481041\pi\) | |||||||
\(24\) | 913.296 | − | 281.715i | 0.0134857 | − | 0.00415978i | ||||
\(25\) | −11129.8 | − | 28358.2i | −0.142461 | − | 0.362985i | ||||
\(26\) | 21663.3 | − | 14769.8i | 0.241723 | − | 0.164804i | ||||
\(27\) | 41535.4 | + | 20002.4i | 0.406111 | + | 0.195573i | ||||
\(28\) | 143176. | + | 132848.i | 1.23259 | + | 1.14367i | ||||
\(29\) | −192040. | + | 28945.4i | −1.46218 | + | 0.220388i | −0.831442 | − | 0.555612i | \(-0.812484\pi\) |
−0.630734 | + | 0.775999i | \(0.717246\pi\) | |||||||
\(30\) | −2796.08 | + | 37311.0i | −0.0189071 | + | 0.252298i | ||||
\(31\) | −90271.8 | + | 230009.i | −0.544235 | + | 1.38669i | 0.349011 | + | 0.937119i | \(0.386518\pi\) |
−0.893246 | + | 0.449569i | \(0.851578\pi\) | |||||||
\(32\) | −57584.2 | − | 252293.i | −0.310655 | − | 1.36107i | ||||
\(33\) | 2817.97 | + | 37603.2i | 0.0136501 | + | 0.182149i | ||||
\(34\) | −297336. | − | 91716.1i | −1.29739 | − | 0.400193i | ||||
\(35\) | 313807. | − | 151122.i | 1.23716 | − | 0.595784i | ||||
\(36\) | 126690. | − | 219434.i | 0.452569 | − | 0.783872i | ||||
\(37\) | −168540. | − | 291920.i | −0.547011 | − | 0.947452i | −0.998477 | − | 0.0551633i | \(-0.982432\pi\) |
0.451466 | − | 0.892288i | \(-0.350901\pi\) | |||||||
\(38\) | 302497. | + | 206239.i | 0.894290 | + | 0.609716i | ||||
\(39\) | 3992.88 | − | 17494.0i | 0.0107786 | − | 0.0472239i | ||||
\(40\) | −19050.9 | − | 2871.47i | −0.0470659 | − | 0.00709404i | ||||
\(41\) | −207414. | − | 260089.i | −0.469997 | − | 0.589358i | 0.489173 | − | 0.872187i | \(-0.337299\pi\) |
−0.959170 | + | 0.282829i | \(0.908727\pi\) | |||||||
\(42\) | 273429. | 0.569471 | ||||||||
\(43\) | 323697. | − | 408704.i | 0.620868 | − | 0.783915i | ||||
\(44\) | 426255. | 0.754372 | ||||||||
\(45\) | −281721. | − | 353267.i | −0.460867 | − | 0.577909i | ||||
\(46\) | 1.16021e6 | + | 174873.i | 1.75745 | + | 0.264893i | ||||
\(47\) | −105872. | + | 463855.i | −0.148744 | + | 0.651688i | 0.844492 | + | 0.535569i | \(0.179903\pi\) |
−0.993235 | + | 0.116119i | \(0.962954\pi\) | |||||||
\(48\) | −152718. | − | 104121.i | −0.199318 | − | 0.135893i | ||||
\(49\) | −860894. | − | 1.49111e6i | −1.04535 | − | 1.81061i | ||||
\(50\) | −241043. | + | 417499.i | −0.272709 | + | 0.472347i | ||||
\(51\) | −191863. | + | 92396.4i | −0.202533 | + | 0.0975347i | ||||
\(52\) | −193825. | − | 59787.0i | −0.191160 | − | 0.0589651i | ||||
\(53\) | 138967. | + | 1.85439e6i | 0.128218 | + | 1.71094i | 0.576538 | + | 0.817071i | \(0.304403\pi\) |
−0.448320 | + | 0.893873i | \(0.647978\pi\) | |||||||
\(54\) | −162337. | − | 711244.i | −0.140294 | − | 0.614668i | ||||
\(55\) | 277706. | − | 707584.i | 0.225069 | − | 0.573467i | ||||
\(56\) | −10521.6 | + | 140401.i | −0.00800613 | + | 0.106834i | ||||
\(57\) | 247762. | − | 37344.1i | 0.177204 | − | 0.0267091i | ||||
\(58\) | 2.25290e6 | + | 2.09039e6i | 1.51616 | + | 1.40679i | ||||
\(59\) | 411511. | + | 198173.i | 0.260855 | + | 0.125621i | 0.559741 | − | 0.828668i | \(-0.310901\pi\) |
−0.298886 | + | 0.954289i | \(0.596615\pi\) | |||||||
\(60\) | 239159. | − | 163056.i | 0.142941 | − | 0.0974554i | ||||
\(61\) | −454347. | − | 1.15766e6i | −0.256291 | − | 0.653018i | 0.743587 | − | 0.668639i | \(-0.233123\pi\) |
−0.999878 | + | 0.0156207i | \(0.995028\pi\) | |||||||
\(62\) | 3.73641e6 | − | 1.15253e6i | 1.99106 | − | 0.614160i | ||||
\(63\) | −2.42056e6 | + | 2.24595e6i | −1.21962 | + | 1.13164i | ||||
\(64\) | −1.19124e6 | + | 1.49377e6i | −0.568030 | + | 0.712287i | ||||
\(65\) | −225523. | + | 282797.i | −0.101858 | + | 0.127726i | ||||
\(66\) | 437434. | − | 405879.i | 0.187288 | − | 0.173777i | ||||
\(67\) | −2.01832e6 | + | 622570.i | −0.819839 | + | 0.252887i | −0.676176 | − | 0.736740i | \(-0.736364\pi\) |
−0.143663 | + | 0.989627i | \(0.545888\pi\) | |||||||
\(68\) | 879446. | + | 2.24079e6i | 0.339178 | + | 0.864212i | ||||
\(69\) | 663464. | − | 452342.i | 0.243134 | − | 0.165766i | ||||
\(70\) | −4.96593e6 | − | 2.39147e6i | −1.73044 | − | 0.833338i | ||||
\(71\) | −1.14458e6 | − | 1.06201e6i | −0.379526 | − | 0.352148i | 0.467225 | − | 0.884139i | \(-0.345254\pi\) |
−0.846751 | + | 0.531990i | \(0.821444\pi\) | |||||||
\(72\) | 180611. | − | 27222.7i | 0.0570270 | − | 0.00859543i | ||||
\(73\) | 423070. | − | 5.64548e6i | 0.127286 | − | 1.69852i | −0.459016 | − | 0.888428i | \(-0.651798\pi\) |
0.586303 | − | 0.810092i | \(-0.300583\pi\) | |||||||
\(74\) | −1.94880e6 | + | 4.96547e6i | −0.559059 | + | 1.42446i | ||||
\(75\) | 73416.5 | + | 321659.i | 0.0200946 | + | 0.0880401i | ||||
\(76\) | −211659. | − | 2.82440e6i | −0.0553082 | − | 0.738037i | ||||
\(77\) | −5.30813e6 | − | 1.63734e6i | −1.32502 | − | 0.408716i | ||||
\(78\) | −255837. | + | 123204.i | −0.0610424 | + | 0.0293965i | ||||
\(79\) | 2.60854e6 | − | 4.51812e6i | 0.595254 | − | 1.03101i | −0.398257 | − | 0.917274i | \(-0.630385\pi\) |
0.993511 | − | 0.113736i | \(-0.0362818\pi\) | |||||||
\(80\) | 1.86295e6 | + | 3.22672e6i | 0.406805 | + | 0.704607i | ||||
\(81\) | 3.32741e6 | + | 2.26859e6i | 0.695678 | + | 0.474305i | ||||
\(82\) | −1.17143e6 | + | 5.13239e6i | −0.234622 | + | 1.02795i | ||||
\(83\) | −4.87842e6 | − | 735304.i | −0.936497 | − | 0.141154i | −0.336976 | − | 0.941513i | \(-0.609404\pi\) |
−0.599521 | + | 0.800359i | \(0.704642\pi\) | |||||||
\(84\) | −1.31887e6 | − | 1.65380e6i | −0.242786 | − | 0.304443i | ||||
\(85\) | 4.29267e6 | 0.758161 | ||||||||
\(86\) | −8.25039e6 | + | 27634.6i | −1.39872 | + | 0.00468499i | ||||
\(87\) | 2.10332e6 | 0.342443 | ||||||||
\(88\) | 191579. | + | 240233.i | 0.0299681 | + | 0.0375788i | ||||
\(89\) | 1.08804e7 | + | 1.63996e6i | 1.63599 | + | 0.246586i | 0.901735 | − | 0.432288i | \(-0.142294\pi\) |
0.734255 | + | 0.678874i | \(0.237532\pi\) | |||||||
\(90\) | −1.59110e6 | + | 6.97108e6i | −0.230065 | + | 1.00798i | ||||
\(91\) | 2.18403e6 | + | 1.48905e6i | 0.303818 | + | 0.207140i | ||||
\(92\) | −4.53849e6 | − | 7.86089e6i | −0.607650 | − | 1.05248i | ||||
\(93\) | 1.33801e6 | − | 2.31750e6i | 0.172492 | − | 0.298764i | ||||
\(94\) | 6.78355e6 | − | 3.26678e6i | 0.842383 | − | 0.405670i | ||||
\(95\) | −4.82640e6 | − | 1.48875e6i | −0.577551 | − | 0.178151i | ||||
\(96\) | 209441. | + | 2.79480e6i | 0.0241609 | + | 0.322405i | ||||
\(97\) | 271421. | + | 1.18917e6i | 0.0301955 | + | 0.132295i | 0.987779 | − | 0.155860i | \(-0.0498150\pi\) |
−0.957584 | + | 0.288156i | \(0.906958\pi\) | |||||||
\(98\) | −9.95441e6 | + | 2.53634e7i | −1.06838 | + | 2.72218i | ||||
\(99\) | −538530. | + | 7.18619e6i | −0.0557811 | + | 0.744347i | ||||
\(100\) | 3.68786e6 | − | 555855.i | 0.368786 | − | 0.0555855i | ||||
\(101\) | −5.41614e6 | − | 5.02544e6i | −0.523076 | − | 0.485344i | 0.373872 | − | 0.927480i | \(-0.378030\pi\) |
−0.896948 | + | 0.442137i | \(0.854221\pi\) | |||||||
\(102\) | 3.03619e6 | + | 1.46215e6i | 0.283288 | + | 0.136424i | ||||
\(103\) | 2.96944e6 | − | 2.02453e6i | 0.267759 | − | 0.182555i | −0.421996 | − | 0.906597i | \(-0.638671\pi\) |
0.689755 | + | 0.724043i | \(0.257718\pi\) | |||||||
\(104\) | −53418.6 | − | 136108.i | −0.00465667 | − | 0.0118650i | ||||
\(105\) | −3.60456e6 | + | 1.11186e6i | −0.303871 | + | 0.0937318i | ||||
\(106\) | 2.15720e7 | − | 2.00158e7i | 1.75921 | − | 1.63231i | ||||
\(107\) | −144289. | + | 180932.i | −0.0113865 | + | 0.0142782i | −0.787492 | − | 0.616325i | \(-0.788621\pi\) |
0.776106 | + | 0.630603i | \(0.217192\pi\) | |||||||
\(108\) | −3.51886e6 | + | 4.41251e6i | −0.268794 | + | 0.337057i | ||||
\(109\) | 2.98537e6 | − | 2.77002e6i | 0.220803 | − | 0.204876i | −0.562013 | − | 0.827128i | \(-0.689973\pi\) |
0.782816 | + | 0.622253i | \(0.213782\pi\) | |||||||
\(110\) | −1.14944e7 | + | 3.54557e6i | −0.823406 | + | 0.253987i | ||||
\(111\) | 1.33372e6 | + | 3.39827e6i | 0.0925625 | + | 0.235846i | ||||
\(112\) | 2.24972e7 | − | 1.53383e7i | 1.51309 | − | 1.03161i | ||||
\(113\) | 1.70211e7 | + | 8.19691e6i | 1.10972 | + | 0.534411i | 0.896701 | − | 0.442637i | \(-0.145957\pi\) |
0.213016 | + | 0.977049i | \(0.431671\pi\) | |||||||
\(114\) | −2.90660e6 | − | 2.69693e6i | −0.183746 | − | 0.170491i | ||||
\(115\) | −1.60059e7 | + | 2.41250e6i | −0.981381 | + | 0.147919i | ||||
\(116\) | 1.77677e6 | − | 2.37093e7i | 0.105688 | − | 1.41031i | ||||
\(117\) | 1.25282e6 | − | 3.19213e6i | 0.0723166 | − | 0.184260i | ||||
\(118\) | −1.60835e6 | − | 7.04662e6i | −0.0901140 | − | 0.394815i | ||||
\(119\) | −2.34431e6 | − | 3.12826e7i | −0.127526 | − | 1.70172i | ||||
\(120\) | 199385. | + | 61502.2i | 0.0105332 | + | 0.00324905i | ||||
\(121\) | 6.63486e6 | − | 3.19518e6i | 0.340473 | − | 0.163963i | ||||
\(122\) | −9.84003e6 | + | 1.70434e7i | −0.490611 | + | 0.849762i | ||||
\(123\) | 1.80142e6 | + | 3.12015e6i | 0.0872863 | + | 0.151184i | ||||
\(124\) | −2.49933e7 | − | 1.70401e7i | −1.17719 | − | 0.802597i | ||||
\(125\) | 5.27519e6 | − | 2.31121e7i | 0.241576 | − | 1.05841i | ||||
\(126\) | 5.16702e7 | + | 7.78804e6i | 2.30114 | + | 0.346841i | ||||
\(127\) | −9.16774e6 | − | 1.14960e7i | −0.397145 | − | 0.498004i | 0.542547 | − | 0.840025i | \(-0.317460\pi\) |
−0.939692 | + | 0.342021i | \(0.888889\pi\) | |||||||
\(128\) | −2.88902e6 | −0.121763 | ||||||||
\(129\) | −4.12624e6 | + | 3.85439e6i | −0.169235 | + | 0.158086i | ||||
\(130\) | 5.72400e6 | 0.228506 | ||||||||
\(131\) | −1.33980e6 | − | 1.68005e6i | −0.0520702 | − | 0.0652939i | 0.755114 | − | 0.655593i | \(-0.227581\pi\) |
−0.807185 | + | 0.590299i | \(0.799010\pi\) | |||||||
\(132\) | −4.56485e6 | − | 688041.i | −0.172750 | − | 0.0260379i | ||||
\(133\) | −8.21336e6 | + | 3.59851e7i | −0.302719 | + | 1.32630i | ||||
\(134\) | 2.76165e7 | + | 1.88286e7i | 0.991523 | + | 0.676009i | ||||
\(135\) | 5.03222e6 | + | 8.71607e6i | 0.176032 | + | 0.304896i | ||||
\(136\) | −867620. | + | 1.50276e6i | −0.0295763 | + | 0.0512276i | ||||
\(137\) | −1.94095e7 | + | 9.34711e6i | −0.644899 | + | 0.310567i | −0.727594 | − | 0.686008i | \(-0.759362\pi\) |
0.0826951 | + | 0.996575i | \(0.473647\pi\) | |||||||
\(138\) | −1.21426e7 | − | 3.74551e6i | −0.393311 | − | 0.121320i | ||||
\(139\) | −2.94593e6 | − | 3.93107e7i | −0.0930401 | − | 1.24153i | −0.826946 | − | 0.562282i | \(-0.809924\pi\) |
0.733906 | − | 0.679252i | \(-0.237695\pi\) | |||||||
\(140\) | 9.48830e6 | + | 4.15710e7i | 0.292240 | + | 1.28039i | ||||
\(141\) | 1.88253e6 | − | 4.79662e6i | 0.0565557 | − | 0.144101i | ||||
\(142\) | −1.84648e6 | + | 2.46395e7i | −0.0541171 | + | 0.722142i | ||||
\(143\) | 5.70438e6 | − | 859797.i | 0.163130 | − | 0.0245878i | ||||
\(144\) | −2.58937e7 | − | 2.40258e7i | −0.722645 | − | 0.670516i | ||||
\(145\) | −3.81998e7 | − | 1.83961e7i | −1.04058 | − | 0.501115i | ||||
\(146\) | −7.40218e7 | + | 5.04672e7i | −1.96845 | + | 1.34207i | ||||
\(147\) | 6.81260e6 | + | 1.73582e7i | 0.176890 | + | 0.450707i | ||||
\(148\) | 3.94331e7 | − | 1.21635e7i | 0.999872 | − | 0.308420i | ||||
\(149\) | 2.24050e7 | − | 2.07888e7i | 0.554873 | − | 0.514847i | −0.352141 | − | 0.935947i | \(-0.614546\pi\) |
0.907014 | + | 0.421100i | \(0.138356\pi\) | |||||||
\(150\) | 3.25529e6 | − | 4.08200e6i | 0.0787535 | − | 0.0987538i | ||||
\(151\) | −1.66115e7 | + | 2.08301e7i | −0.392634 | + | 0.492348i | −0.938381 | − | 0.345602i | \(-0.887675\pi\) |
0.545747 | + | 0.837950i | \(0.316246\pi\) | |||||||
\(152\) | 1.49667e6 | − | 1.38871e6i | 0.0345679 | − | 0.0320743i | ||||
\(153\) | −3.88883e7 | + | 1.19955e7i | −0.877808 | + | 0.270768i | ||||
\(154\) | 3.21154e7 | + | 8.18288e7i | 0.708584 | + | 1.80544i | ||||
\(155\) | −4.45698e7 | + | 3.03872e7i | −0.961346 | + | 0.655435i | ||||
\(156\) | 1.97920e6 | + | 953133.i | 0.0417401 | + | 0.0201010i | ||||
\(157\) | −9.58711e6 | − | 8.89554e6i | −0.197715 | − | 0.183452i | 0.575102 | − | 0.818082i | \(-0.304962\pi\) |
−0.772817 | + | 0.634629i | \(0.781153\pi\) | |||||||
\(158\) | −8.16369e7 | + | 1.23048e7i | −1.64659 | + | 0.248184i | ||||
\(159\) | 1.50504e6 | − | 2.00833e7i | 0.0296932 | − | 0.396229i | ||||
\(160\) | 2.06401e7 | − | 5.25901e7i | 0.398375 | − | 1.01504i | ||||
\(161\) | 2.63221e7 | + | 1.15324e8i | 0.497083 | + | 2.17786i | ||||
\(162\) | −4.76248e6 | − | 6.35509e7i | −0.0880097 | − | 1.17441i | ||||
\(163\) | 1.63770e7 | + | 5.05165e6i | 0.296196 | + | 0.0913642i | 0.439291 | − | 0.898345i | \(-0.355230\pi\) |
−0.143096 | + | 0.989709i | \(0.545706\pi\) | |||||||
\(164\) | 3.66930e7 | − | 1.76704e7i | 0.649576 | − | 0.312819i | ||||
\(165\) | −4.11616e6 | + | 7.12939e6i | −0.0713342 | + | 0.123555i | ||||
\(166\) | 3.90360e7 | + | 6.76123e7i | 0.662349 | + | 1.14722i | ||||
\(167\) | 5.77674e7 | + | 3.93852e7i | 0.959788 | + | 0.654372i | 0.938456 | − | 0.345400i | \(-0.112257\pi\) |
0.0213325 | + | 0.999772i | \(0.493209\pi\) | |||||||
\(168\) | 339305. | − | 1.48659e6i | 0.00552088 | − | 0.0241886i | ||||
\(169\) | 5.93332e7 | + | 8.94304e6i | 0.945571 | + | 0.142522i | ||||
\(170\) | −4.23540e7 | − | 5.31103e7i | −0.661186 | − | 0.829101i | ||||
\(171\) | 4.78836e7 | 0.732319 | ||||||||
\(172\) | 3.99623e7 | + | 4.97683e7i | 0.598827 | + | 0.745767i | ||||
\(173\) | −2.81489e7 | −0.413333 | −0.206667 | − | 0.978411i | \(-0.566262\pi\) | ||||
−0.206667 | + | 0.978411i | \(0.566262\pi\) | |||||||
\(174\) | −2.07526e7 | − | 2.60229e7i | −0.298641 | − | 0.374484i | ||||
\(175\) | −4.80598e7 | − | 7.24385e6i | −0.677874 | − | 0.102173i | ||||
\(176\) | 1.32229e7 | − | 5.79333e7i | 0.182824 | − | 0.801002i | ||||
\(177\) | −4.08707e6 | − | 2.78651e6i | −0.0553994 | − | 0.0377707i | ||||
\(178\) | −8.70625e7 | − | 1.50797e8i | −1.15707 | − | 2.00411i | ||||
\(179\) | −1.96482e7 | + | 3.40316e7i | −0.256057 | + | 0.443503i | −0.965182 | − | 0.261579i | \(-0.915757\pi\) |
0.709125 | + | 0.705083i | \(0.249090\pi\) | |||||||
\(180\) | 4.98384e7 | − | 2.40009e7i | 0.636958 | − | 0.306743i | ||||
\(181\) | −8.71407e7 | − | 2.68793e7i | −1.09231 | − | 0.336933i | −0.304288 | − | 0.952580i | \(-0.598419\pi\) |
−0.788022 | + | 0.615647i | \(0.788895\pi\) | |||||||
\(182\) | −3.12598e6 | − | 4.17133e7i | −0.0384358 | − | 0.512890i | ||||
\(183\) | 2.99705e6 | + | 1.31310e7i | 0.0361506 | + | 0.158386i | ||||
\(184\) | 2.39050e6 | − | 6.09089e6i | 0.0282895 | − | 0.0720806i | ||||
\(185\) | 5.49932e6 | − | 7.33834e7i | 0.0638570 | − | 0.852112i | ||||
\(186\) | −4.18743e7 | + | 6.31154e6i | −0.477148 | + | 0.0719184i | ||||
\(187\) | −5.01865e7 | − | 4.65663e7i | −0.561231 | − | 0.520746i | ||||
\(188\) | −5.24788e7 | − | 2.52724e7i | −0.576012 | − | 0.277393i | ||||
\(189\) | 6.07696e7 | − | 4.14320e7i | 0.654742 | − | 0.446395i | ||||
\(190\) | 2.92008e7 | + | 7.44025e7i | 0.308857 | + | 0.786955i | ||||
\(191\) | 7.42271e7 | − | 2.28960e7i | 0.770807 | − | 0.237762i | 0.115685 | − | 0.993286i | \(-0.463094\pi\) |
0.655121 | + | 0.755524i | \(0.272617\pi\) | |||||||
\(192\) | 1.51684e7 | − | 1.40743e7i | 0.154663 | − | 0.143506i | ||||
\(193\) | 5.43355e7 | − | 6.81346e7i | 0.544043 | − | 0.682208i | −0.431476 | − | 0.902125i | \(-0.642007\pi\) |
0.975519 | + | 0.219916i | \(0.0705784\pi\) | |||||||
\(194\) | 1.20348e7 | − | 1.50912e7i | 0.118341 | − | 0.148394i | ||||
\(195\) | 2.87165e6 | − | 2.66450e6i | 0.0277339 | − | 0.0257333i | ||||
\(196\) | 2.01422e8 | − | 6.21305e7i | 1.91078 | − | 0.589398i | ||||
\(197\) | −2.75151e7 | − | 7.01073e7i | −0.256413 | − | 0.653328i | 0.743468 | − | 0.668771i | \(-0.233179\pi\) |
−0.999881 | + | 0.0154428i | \(0.995084\pi\) | |||||||
\(198\) | 9.42232e7 | − | 6.42403e7i | 0.862640 | − | 0.588138i | ||||
\(199\) | 1.18164e7 | + | 5.69048e6i | 0.106292 | + | 0.0511874i | 0.486274 | − | 0.873806i | \(-0.338356\pi\) |
−0.379982 | + | 0.924994i | \(0.624070\pi\) | |||||||
\(200\) | 1.97077e6 | + | 1.82861e6i | 0.0174193 | + | 0.0161627i | ||||
\(201\) | 2.26195e7 | − | 3.40934e6i | 0.196470 | − | 0.0296131i | ||||
\(202\) | −8.73751e6 | + | 1.16594e8i | −0.0745861 | + | 0.995283i | ||||
\(203\) | −1.13199e8 | + | 2.88425e8i | −0.949741 | + | 2.41990i | ||||
\(204\) | −5.80118e6 | − | 2.54166e7i | −0.0478422 | − | 0.209610i | ||||
\(205\) | −5.42733e6 | − | 7.24227e7i | −0.0439995 | − | 0.587132i | ||||
\(206\) | −5.43462e7 | − | 1.67636e7i | −0.433146 | − | 0.133608i | ||||
\(207\) | 1.38260e8 | − | 6.65824e7i | 1.08343 | − | 0.521751i | ||||
\(208\) | −1.41384e7 | + | 2.44885e7i | −0.108938 | + | 0.188686i | ||||
\(209\) | 4.02767e7 | + | 6.97612e7i | 0.305170 | + | 0.528570i | ||||
\(210\) | 4.93209e7 | + | 3.36264e7i | 0.367505 | + | 0.250561i | ||||
\(211\) | −3.04240e7 | + | 1.33296e8i | −0.222960 | + | 0.976853i | 0.732276 | + | 0.681008i | \(0.238458\pi\) |
−0.955236 | + | 0.295845i | \(0.904399\pi\) | |||||||
\(212\) | −2.25115e8 | − | 3.39306e7i | −1.62266 | − | 0.244577i | ||||
\(213\) | 1.05433e7 | + | 1.32208e7i | 0.0747560 | + | 0.0937411i | ||||
\(214\) | 3.66219e6 | 0.0255442 | ||||||||
\(215\) | 1.08651e8 | − | 3.39133e7i | 0.745588 | − | 0.232721i | ||||
\(216\) | −4.06838e6 | −0.0274684 | ||||||||
\(217\) | 2.45785e8 | + | 3.08205e8i | 1.63285 | + | 2.04753i | ||||
\(218\) | −6.37270e7 | − | 9.60530e6i | −0.416606 | − | 0.0627933i | ||||
\(219\) | −1.36434e7 | + | 5.97756e7i | −0.0877744 | + | 0.384565i | ||||
\(220\) | 7.68877e7 | + | 5.24211e7i | 0.486830 | + | 0.331915i | ||||
\(221\) | 1.62891e7 | + | 2.82136e7i | 0.101514 | + | 0.175827i | ||||
\(222\) | 2.88852e7 | − | 5.00306e7i | 0.177190 | − | 0.306902i | ||||
\(223\) | −1.42358e8 | + | 6.85560e7i | −0.859637 | + | 0.413979i | −0.811146 | − | 0.584844i | \(-0.801156\pi\) |
−0.0484913 | + | 0.998824i | \(0.515441\pi\) | |||||||
\(224\) | −3.94519e8 | − | 1.21693e8i | −2.34531 | − | 0.723432i | ||||
\(225\) | 4.71186e6 | + | 6.28754e7i | 0.0275774 | + | 0.367995i | ||||
\(226\) | −6.65251e7 | − | 2.91465e8i | −0.383359 | − | 1.67961i | ||||
\(227\) | 1.04118e8 | − | 2.65288e8i | 0.590793 | − | 1.50532i | −0.252355 | − | 0.967635i | \(-0.581205\pi\) |
0.843148 | − | 0.537681i | \(-0.180700\pi\) | |||||||
\(228\) | −2.29230e6 | + | 3.05887e7i | −0.0128086 | + | 0.170918i | ||||
\(229\) | 1.65661e8 | − | 2.49693e7i | 0.911581 | − | 0.137399i | 0.323525 | − | 0.946219i | \(-0.395132\pi\) |
0.588055 | + | 0.808821i | \(0.299894\pi\) | |||||||
\(230\) | 1.87772e8 | + | 1.74227e8i | 1.01761 | + | 0.944207i | ||||
\(231\) | 5.42029e7 | + | 2.61027e7i | 0.289321 | + | 0.139330i | ||||
\(232\) | 1.41608e7 | − | 9.65470e6i | 0.0744528 | − | 0.0507611i | ||||
\(233\) | −8.12472e6 | − | 2.07015e7i | −0.0420788 | − | 0.107215i | 0.908290 | − | 0.418342i | \(-0.137389\pi\) |
−0.950368 | + | 0.311127i | \(0.899293\pi\) | |||||||
\(234\) | −5.18551e7 | + | 1.59952e7i | −0.264567 | + | 0.0816081i | ||||
\(235\) | −7.61423e7 | + | 7.06497e7i | −0.382726 | + | 0.355118i | ||||
\(236\) | −3.48630e7 | + | 4.37168e7i | −0.172652 | + | 0.216499i | ||||
\(237\) | −3.52283e7 | + | 4.41748e7i | −0.171898 | + | 0.215554i | ||||
\(238\) | −3.63907e8 | + | 3.37657e8i | −1.74973 | + | 1.62351i | ||||
\(239\) | −1.73217e8 | + | 5.34304e7i | −0.820726 | + | 0.253160i | −0.676555 | − | 0.736392i | \(-0.736528\pi\) |
−0.144171 | + | 0.989553i | \(0.546052\pi\) | |||||||
\(240\) | −1.47423e7 | − | 3.75627e7i | −0.0688375 | − | 0.175395i | ||||
\(241\) | 3.05408e8 | − | 2.08224e8i | 1.40547 | − | 0.958232i | 0.406461 | − | 0.913668i | \(-0.366763\pi\) |
0.999007 | − | 0.0445638i | \(-0.0141898\pi\) | |||||||
\(242\) | −1.04995e8 | − | 5.05630e7i | −0.476228 | − | 0.229339i | ||||
\(243\) | −1.05880e8 | − | 9.82424e7i | −0.473361 | − | 0.439215i | ||||
\(244\) | 1.50548e8 | − | 2.26915e7i | 0.663454 | − | 0.0999996i | ||||
\(245\) | 2.80903e7 | − | 3.74839e8i | 0.122032 | − | 1.62841i | ||||
\(246\) | 2.08296e7 | − | 5.30728e7i | 0.0892087 | − | 0.227300i | ||||
\(247\) | −8.52962e6 | − | 3.73707e7i | −0.0360156 | − | 0.157795i | ||||
\(248\) | −1.62953e6 | − | 2.17446e7i | −0.00678393 | − | 0.0905253i | ||||
\(249\) | 5.10571e7 | + | 1.57490e7i | 0.209584 | + | 0.0646481i | ||||
\(250\) | −3.37998e8 | + | 1.62771e8i | −1.36812 | + | 0.658852i | ||||
\(251\) | −1.24462e8 | + | 2.15574e8i | −0.496795 | + | 0.860474i | −0.999993 | − | 0.00369680i | \(-0.998823\pi\) |
0.503198 | + | 0.864171i | \(0.332157\pi\) | |||||||
\(252\) | −2.02123e8 | − | 3.50087e8i | −0.795634 | − | 1.37808i | ||||
\(253\) | 2.13299e8 | + | 1.45425e8i | 0.828068 | + | 0.564568i | ||||
\(254\) | −5.17775e7 | + | 2.26852e8i | −0.198255 | + | 0.868610i | ||||
\(255\) | −4.59711e7 | − | 6.92903e6i | −0.173618 | − | 0.0261687i | ||||
\(256\) | 1.80984e8 | + | 2.26947e8i | 0.674218 | + | 0.845443i | ||||
\(257\) | −4.05462e8 | −1.48999 | −0.744996 | − | 0.667069i | \(-0.767549\pi\) | ||||
−0.744996 | + | 0.667069i | \(0.767549\pi\) | |||||||
\(258\) | 8.83996e7 | + | 1.30214e7i | 0.320466 | + | 0.0472052i | ||||
\(259\) | −5.37780e8 | −1.92334 | ||||||||
\(260\) | −2.76093e7 | − | 3.46210e7i | −0.0974202 | − | 0.122161i | ||||
\(261\) | 3.97467e8 | + | 5.99086e7i | 1.38376 | + | 0.208568i | ||||
\(262\) | −7.56689e6 | + | 3.31527e7i | −0.0259934 | + | 0.113884i | ||||
\(263\) | 1.62122e8 | + | 1.10533e8i | 0.549536 | + | 0.374667i | 0.806026 | − | 0.591880i | \(-0.201614\pi\) |
−0.256491 | + | 0.966547i | \(0.582566\pi\) | |||||||
\(264\) | −1.66389e6 | − | 2.88193e6i | −0.00556557 | − | 0.00963985i | ||||
\(265\) | −2.02987e8 | + | 3.51584e8i | −0.670051 | + | 1.16056i | ||||
\(266\) | 5.26256e8 | − | 2.53432e8i | 1.71440 | − | 0.825610i | ||||
\(267\) | −1.13873e8 | − | 3.51253e7i | −0.366128 | − | 0.112936i | ||||
\(268\) | −1.93235e7 | − | 2.57854e8i | −0.0613217 | − | 0.818281i | ||||
\(269\) | 4.44010e7 | + | 1.94533e8i | 0.139078 | + | 0.609342i | 0.995639 | + | 0.0932948i | \(0.0297399\pi\) |
−0.856560 | + | 0.516047i | \(0.827403\pi\) | |||||||
\(270\) | 5.81870e7 | − | 1.48258e8i | 0.179909 | − | 0.458400i | ||||
\(271\) | 3.95812e7 | − | 5.28174e8i | 0.120808 | − | 1.61207i | −0.526726 | − | 0.850035i | \(-0.676581\pi\) |
0.647534 | − | 0.762036i | \(-0.275800\pi\) | |||||||
\(272\) | 3.31832e8 | − | 5.00157e7i | 0.999833 | − | 0.150701i | ||||
\(273\) | −2.09857e7 | − | 1.94718e7i | −0.0624242 | − | 0.0579212i | ||||
\(274\) | 3.07150e8 | + | 1.47916e8i | 0.902036 | + | 0.434398i | ||||
\(275\) | −8.76393e7 | + | 5.97515e7i | −0.254118 | + | 0.173254i | ||||
\(276\) | 3.59149e7 | + | 9.15096e7i | 0.102824 | + | 0.261990i | ||||
\(277\) | −2.53468e8 | + | 7.81847e7i | −0.716547 | + | 0.221026i | −0.631527 | − | 0.775354i | \(-0.717572\pi\) |
−0.0850199 | + | 0.996379i | \(0.527095\pi\) | |||||||
\(278\) | −4.57297e8 | + | 4.24310e8i | −1.27656 | + | 1.18448i | ||||
\(279\) | 3.18854e8 | − | 3.99831e8i | 0.878977 | − | 1.10220i | ||||
\(280\) | −1.91644e7 | + | 2.40314e7i | −0.0521726 | + | 0.0654224i | ||||
\(281\) | 3.81086e8 | − | 3.53596e8i | 1.02459 | − | 0.950682i | 0.0257923 | − | 0.999667i | \(-0.491789\pi\) |
0.998800 | + | 0.0489851i | \(0.0155987\pi\) | |||||||
\(282\) | −7.79194e7 | + | 2.40350e7i | −0.206906 | + | 0.0638222i | ||||
\(283\) | −5.35263e7 | − | 1.36383e8i | −0.140383 | − | 0.357690i | 0.843340 | − | 0.537380i | \(-0.180586\pi\) |
−0.983723 | + | 0.179690i | \(0.942491\pi\) | |||||||
\(284\) | 1.57936e8 | − | 1.07679e8i | 0.409135 | − | 0.278943i | ||||
\(285\) | 4.92837e7 | + | 2.37338e7i | 0.126109 | + | 0.0607310i | ||||
\(286\) | −6.69204e7 | − | 6.20931e7i | −0.169152 | − | 0.156950i | ||||
\(287\) | −5.24812e8 | + | 7.91026e7i | −1.31044 | + | 0.197517i | ||||
\(288\) | −4.00255e7 | + | 5.34103e8i | −0.0987332 | + | 1.31750i | ||||
\(289\) | −8.66248e6 | + | 2.20716e7i | −0.0211106 | + | 0.0537888i | ||||
\(290\) | 1.49300e8 | + | 6.54127e8i | 0.359474 | + | 1.57496i | ||||
\(291\) | −987196. | − | 1.31732e7i | −0.00234843 | − | 0.0313376i | ||||
\(292\) | 6.62285e8 | + | 2.04288e8i | 1.55670 | + | 0.480178i | ||||
\(293\) | −4.47376e8 | + | 2.15445e8i | −1.03905 | + | 0.500379i | −0.874010 | − | 0.485908i | \(-0.838489\pi\) |
−0.165039 | + | 0.986287i | \(0.552775\pi\) | |||||||
\(294\) | 1.47544e8 | − | 2.55554e8i | 0.338615 | − | 0.586498i | ||||
\(295\) | 4.98566e7 | + | 8.63541e7i | 0.113069 | + | 0.195842i | ||||
\(296\) | 2.45783e7 | + | 1.67572e7i | 0.0550846 | + | 0.0375560i | ||||
\(297\) | 3.57178e7 | − | 1.56490e8i | 0.0791111 | − | 0.346609i | ||||
\(298\) | −4.78267e8 | − | 7.20871e7i | −1.04692 | − | 0.157798i | ||||
\(299\) | −7.65927e7 | − | 9.60442e7i | −0.165706 | − | 0.207789i | ||||
\(300\) | −4.03912e7 | −0.0863699 | ||||||||
\(301\) | −3.06477e8 | − | 7.73266e8i | −0.647762 | − | 1.63435i | ||||
\(302\) | 4.21615e8 | 0.880828 | ||||||||
\(303\) | 4.98906e7 | + | 6.25609e7i | 0.103031 | + | 0.129197i | ||||
\(304\) | −3.90436e8 | − | 5.88487e7i | −0.797062 | − | 0.120138i | ||||
\(305\) | 6.04145e7 | − | 2.64693e8i | 0.121925 | − | 0.534187i | ||||
\(306\) | 5.32107e8 | + | 3.62784e8i | 1.06163 | + | 0.723808i | ||||
\(307\) | 3.28396e8 | + | 5.68798e8i | 0.647759 | + | 1.12195i | 0.983657 | + | 0.180053i | \(0.0576268\pi\) |
−0.335898 | + | 0.941898i | \(0.609040\pi\) | |||||||
\(308\) | 3.40026e8 | − | 5.88942e8i | 0.663108 | − | 1.14854i | ||||
\(309\) | −3.50682e7 | + | 1.68879e7i | −0.0676174 | + | 0.0325628i | ||||
\(310\) | 8.15711e8 | + | 2.51613e8i | 1.55514 | + | 0.479698i | ||||
\(311\) | −4.38733e7 | − | 5.85449e8i | −0.0827064 | − | 1.10364i | −0.871961 | − | 0.489575i | \(-0.837152\pi\) |
0.789255 | − | 0.614066i | \(-0.210467\pi\) | |||||||
\(312\) | 352371. | + | 1.54384e6i | 0.000656839 | + | 0.00287780i | ||||
\(313\) | 2.37961e8 | − | 6.06314e8i | 0.438632 | − | 1.11762i | −0.525170 | − | 0.850997i | \(-0.675998\pi\) |
0.963802 | − | 0.266619i | \(-0.0859065\pi\) | |||||||
\(314\) | −1.54663e7 | + | 2.06383e8i | −0.0281924 | + | 0.376202i | ||||
\(315\) | −7.12827e8 | + | 1.07441e8i | −1.28498 | + | 0.193680i | ||||
\(316\) | 4.68194e8 | + | 4.34421e8i | 0.834682 | + | 0.774472i | ||||
\(317\) | −2.59536e8 | − | 1.24986e8i | −0.457605 | − | 0.220371i | 0.190857 | − | 0.981618i | \(-0.438873\pi\) |
−0.648462 | + | 0.761247i | \(0.724588\pi\) | |||||||
\(318\) | −2.63327e8 | + | 1.79533e8i | −0.459198 | + | 0.313076i | ||||
\(319\) | 2.47044e8 | + | 6.29458e8i | 0.426096 | + | 1.08567i | ||||
\(320\) | −3.98581e8 | + | 1.22946e8i | −0.679973 | + | 0.209744i | ||||
\(321\) | 1.83727e6 | − | 1.70474e6i | 0.00310031 | − | 0.00287667i | ||||
\(322\) | 1.16712e9 | − | 1.46352e9i | 1.94814 | − | 2.44289i | ||||
\(323\) | −2.83631e8 | + | 3.55662e8i | −0.468322 | + | 0.587258i | ||||
\(324\) | −3.61409e8 | + | 3.35339e8i | −0.590325 | + | 0.547742i | ||||
\(325\) | 4.82317e7 | − | 1.48775e7i | 0.0779365 | − | 0.0240402i | ||||
\(326\) | −9.90849e7 | − | 2.52464e8i | −0.158397 | − | 0.403588i | ||||
\(327\) | −3.64422e7 | + | 2.48459e7i | −0.0576351 | + | 0.0392950i | ||||
\(328\) | 2.64504e7 | + | 1.27378e7i | 0.0413879 | + | 0.0199314i | ||||
\(329\) | 5.56438e8 | + | 5.16299e8i | 0.861452 | + | 0.799310i | ||||
\(330\) | 1.28819e8 | − | 1.94164e7i | 0.197325 | − | 0.0297420i | ||||
\(331\) | 6.34074e7 | − | 8.46112e8i | 0.0961040 | − | 1.28242i | −0.715666 | − | 0.698442i | \(-0.753877\pi\) |
0.811770 | − | 0.583977i | \(-0.198504\pi\) | |||||||
\(332\) | 2.20658e8 | − | 5.62228e8i | 0.330931 | − | 0.843197i | ||||
\(333\) | 1.55243e8 | + | 6.80165e8i | 0.230387 | + | 1.00939i | ||||
\(334\) | −8.26819e7 | − | 1.10331e9i | −0.121422 | − | 1.62027i | ||||
\(335\) | −4.40627e8 | − | 1.35916e8i | −0.640346 | − | 0.197521i | ||||
\(336\) | −2.65685e8 | + | 1.27947e8i | −0.382102 | + | 0.184011i | ||||
\(337\) | 4.10787e8 | − | 7.11504e8i | 0.584671 | − | 1.01268i | −0.410245 | − | 0.911975i | \(-0.634557\pi\) |
0.994916 | − | 0.100705i | \(-0.0321099\pi\) | |||||||
\(338\) | −4.74770e8 | − | 8.22326e8i | −0.668767 | − | 1.15834i | ||||
\(339\) | −1.69051e8 | − | 1.15257e8i | −0.235678 | − | 0.160682i | ||||
\(340\) | −1.16940e8 | + | 5.12347e8i | −0.161357 | + | 0.706950i | ||||
\(341\) | 8.50710e8 | + | 1.28224e8i | 1.16183 | + | 0.175117i | ||||
\(342\) | −4.72447e8 | − | 5.92430e8i | −0.638649 | − | 0.800840i | ||||
\(343\) | −1.43307e9 | −1.91751 | ||||||||
\(344\) | −1.00879e7 | + | 4.48905e7i | −0.0133612 | + | 0.0594566i | ||||
\(345\) | 1.75304e8 | 0.229840 | ||||||||
\(346\) | 2.77734e8 | + | 3.48267e8i | 0.360464 | + | 0.452008i | ||||
\(347\) | −7.34558e8 | − | 1.10717e8i | −0.943785 | − | 0.142253i | −0.340917 | − | 0.940093i | \(-0.610737\pi\) |
−0.602868 | + | 0.797841i | \(0.705976\pi\) | |||||||
\(348\) | −5.72981e7 | + | 2.51039e8i | −0.0728808 | + | 0.319312i | ||||
\(349\) | −9.58305e8 | − | 6.53361e8i | −1.20674 | − | 0.822743i | −0.218530 | − | 0.975830i | \(-0.570126\pi\) |
−0.988213 | + | 0.153087i | \(0.951078\pi\) | |||||||
\(350\) | 3.84563e8 | + | 6.66082e8i | 0.479434 | + | 0.830405i | ||||
\(351\) | −3.81909e7 | + | 6.61485e7i | −0.0471395 | + | 0.0816480i | ||||
\(352\) | −8.11797e8 | + | 3.90941e8i | −0.992084 | + | 0.477762i | ||||
\(353\) | −3.71656e8 | − | 1.14641e8i | −0.449707 | − | 0.138716i | 0.0616254 | − | 0.998099i | \(-0.480372\pi\) |
−0.511332 | + | 0.859383i | \(0.670848\pi\) | |||||||
\(354\) | 5.84977e6 | + | 7.80598e7i | 0.00700854 | + | 0.0935225i | ||||
\(355\) | −7.58513e7 | − | 3.32326e8i | −0.0899836 | − | 0.394244i | ||||
\(356\) | −4.92137e8 | + | 1.25395e9i | −0.578111 | + | 1.47300i | ||||
\(357\) | −2.53892e7 | + | 3.38795e8i | −0.0295332 | + | 0.394093i | ||||
\(358\) | 6.14910e8 | − | 9.26827e7i | 0.708306 | − | 0.106760i | ||||
\(359\) | 7.63437e8 | + | 7.08366e8i | 0.870849 | + | 0.808030i | 0.982605 | − | 0.185706i | \(-0.0594571\pi\) |
−0.111756 | + | 0.993736i | \(0.535648\pi\) | |||||||
\(360\) | 3.59264e7 | + | 1.73012e7i | 0.0405840 | + | 0.0195442i | ||||
\(361\) | −2.96308e8 | + | 2.02020e8i | −0.331489 | + | 0.226005i | ||||
\(362\) | 5.27221e8 | + | 1.34334e9i | 0.584135 | + | 1.48835i | ||||
\(363\) | −7.62115e7 | + | 2.35081e7i | −0.0836271 | + | 0.0257956i | ||||
\(364\) | −2.37220e8 | + | 2.20108e8i | −0.257808 | + | 0.239211i | ||||
\(365\) | 7.70597e8 | − | 9.66298e8i | 0.829473 | − | 1.04013i | ||||
\(366\) | 1.32889e8 | − | 1.66638e8i | 0.141679 | − | 0.177660i | ||||
\(367\) | −4.62489e8 | + | 4.29127e8i | −0.488394 | + | 0.453163i | −0.885520 | − | 0.464601i | \(-0.846198\pi\) |
0.397127 | + | 0.917764i | \(0.370007\pi\) | |||||||
\(368\) | −1.20918e9 | + | 3.72982e8i | −1.26480 | + | 0.390140i | ||||
\(369\) | 2.51546e8 | + | 6.40928e8i | 0.260630 | + | 0.664075i | ||||
\(370\) | −9.62181e8 | + | 6.56004e8i | −0.987531 | + | 0.673287i | ||||
\(371\) | 2.67300e9 | + | 1.28725e9i | 2.71763 | + | 1.30874i | ||||
\(372\) | 2.40153e8 | + | 2.22829e8i | 0.241873 | + | 0.224425i | ||||
\(373\) | 7.98327e8 | − | 1.20328e8i | 0.796526 | − | 0.120057i | 0.261844 | − | 0.965110i | \(-0.415669\pi\) |
0.534682 | + | 0.845053i | \(0.320431\pi\) | |||||||
\(374\) | −8.09628e7 | + | 1.08037e9i | −0.0800267 | + | 1.06788i | ||||
\(375\) | −9.37995e7 | + | 2.38997e8i | −0.0918525 | + | 0.234036i | ||||
\(376\) | −9.34316e6 | − | 4.09350e7i | −0.00906434 | − | 0.0397135i | ||||
\(377\) | −2.40462e7 | − | 3.20875e8i | −0.0231128 | − | 0.308419i | ||||
\(378\) | −1.11220e9 | − | 3.43067e8i | −1.05916 | − | 0.326707i | ||||
\(379\) | 6.02355e8 | − | 2.90079e8i | 0.568349 | − | 0.273703i | −0.127562 | − | 0.991831i | \(-0.540715\pi\) |
0.695911 | + | 0.718128i | \(0.255001\pi\) | |||||||
\(380\) | 3.09167e8 | − | 5.35493e8i | 0.289035 | − | 0.500624i | ||||
\(381\) | 7.96229e7 | + | 1.37911e8i | 0.0737565 | + | 0.127750i | ||||
\(382\) | −1.01564e9 | − | 6.92454e8i | −0.932223 | − | 0.635579i | ||||
\(383\) | 2.81986e7 | − | 1.23546e8i | 0.0256467 | − | 0.112366i | −0.960484 | − | 0.278334i | \(-0.910218\pi\) |
0.986131 | + | 0.165968i | \(0.0530749\pi\) | |||||||
\(384\) | 3.09391e7 | + | 4.66332e6i | 0.0278836 | + | 0.00420277i | ||||
\(385\) | −7.56116e8 | − | 9.48139e8i | −0.675268 | − | 0.846759i | ||||
\(386\) | −1.37909e9 | −1.22050 | ||||||||
\(387\) | −8.89526e8 | + | 6.10843e8i | −0.780136 | + | 0.535724i | ||||
\(388\) | −1.49327e8 | −0.129786 | ||||||||
\(389\) | 4.06495e8 | + | 5.09728e8i | 0.350131 | + | 0.439051i | 0.925445 | − | 0.378882i | \(-0.123691\pi\) |
−0.575314 | + | 0.817933i | \(0.695120\pi\) | |||||||
\(390\) | −6.12994e7 | − | 9.23940e6i | −0.0523275 | − | 0.00788711i | ||||
\(391\) | −3.24410e8 | + | 1.42133e9i | −0.274458 | + | 1.20248i | ||||
\(392\) | 1.25545e8 | + | 8.55949e7i | 0.105268 | + | 0.0717706i | ||||
\(393\) | 1.16363e7 | + | 2.01546e7i | 0.00967030 | + | 0.0167495i | ||||
\(394\) | −5.95909e8 | + | 1.03214e9i | −0.490844 | + | 0.850166i | ||||
\(395\) | 1.02617e9 | − | 4.94176e8i | 0.837777 | − | 0.403452i | ||||
\(396\) | −8.43029e8 | − | 2.60040e8i | −0.682197 | − | 0.210430i | ||||
\(397\) | −2.64313e7 | − | 3.52702e8i | −0.0212008 | − | 0.282905i | −0.997721 | − | 0.0674781i | \(-0.978505\pi\) |
0.976520 | − | 0.215427i | \(-0.0691143\pi\) | |||||||
\(398\) | −4.61832e7 | − | 2.02342e8i | −0.0367192 | − | 0.160877i | ||||
\(399\) | 1.46044e8 | − | 3.72114e8i | 0.115101 | − | 0.293272i | ||||
\(400\) | 3.88538e7 | − | 5.18468e8i | 0.0303545 | − | 0.405053i | ||||
\(401\) | 1.18942e9 | − | 1.79276e8i | 0.921149 | − | 0.138841i | 0.328687 | − | 0.944439i | \(-0.393394\pi\) |
0.592463 | + | 0.805598i | \(0.298156\pi\) | |||||||
\(402\) | −2.65359e8 | − | 2.46217e8i | −0.203724 | − | 0.189028i | ||||
\(403\) | −3.68846e8 | − | 1.77627e8i | −0.280722 | − | 0.135189i | ||||
\(404\) | 7.47351e8 | − | 5.09535e8i | 0.563884 | − | 0.384450i | ||||
\(405\) | 3.21203e8 | + | 8.18412e8i | 0.240263 | + | 0.612181i | ||||
\(406\) | 4.68537e9 | − | 1.44524e9i | 3.47458 | − | 1.07177i | ||||
\(407\) | −8.60345e8 | + | 7.98284e8i | −0.632546 | + | 0.586917i | ||||
\(408\) | 1.17172e7 | − | 1.46929e7i | 0.00854109 | − | 0.0107102i | ||||
\(409\) | −1.33803e8 | + | 1.67784e8i | −0.0967018 | + | 0.121260i | −0.827828 | − | 0.560982i | \(-0.810424\pi\) |
0.731126 | + | 0.682242i | \(0.238995\pi\) | |||||||
\(410\) | −8.42486e8 | + | 7.81713e8i | −0.603697 | + | 0.560149i | ||||
\(411\) | 2.22947e8 | − | 6.87702e7i | 0.158400 | − | 0.0488600i | ||||
\(412\) | 1.60743e8 | + | 4.09565e8i | 0.113238 | + | 0.288525i | ||||
\(413\) | 6.02073e8 | − | 4.10486e8i | 0.420556 | − | 0.286730i | ||||
\(414\) | −2.18793e9 | − | 1.05365e9i | −1.51542 | − | 0.729786i | ||||
\(415\) | −7.89539e8 | − | 7.32585e8i | −0.542257 | − | 0.503141i | ||||
\(416\) | 4.23970e8 | − | 6.39032e7i | 0.288741 | − | 0.0435207i | ||||
\(417\) | −3.19048e7 | + | 4.25741e8i | −0.0215467 | + | 0.287521i | ||||
\(418\) | 4.65714e8 | − | 1.18662e9i | 0.311891 | − | 0.794684i | ||||
\(419\) | −1.83418e8 | − | 8.03605e8i | −0.121813 | − | 0.533696i | −0.998604 | − | 0.0528244i | \(-0.983178\pi\) |
0.876791 | − | 0.480871i | \(-0.159680\pi\) | |||||||
\(420\) | −3.45102e7 | − | 4.60507e8i | −0.0227287 | − | 0.303294i | ||||
\(421\) | −2.22505e8 | − | 6.86336e7i | −0.145329 | − | 0.0448280i | 0.221237 | − | 0.975220i | \(-0.428990\pi\) |
−0.366566 | + | 0.930392i | \(0.619467\pi\) | |||||||
\(422\) | 1.94936e9 | − | 9.38763e8i | 1.26270 | − | 0.608082i | ||||
\(423\) | 4.92367e8 | − | 8.52804e8i | 0.316299 | − | 0.547845i | ||||
\(424\) | −8.20541e7 | − | 1.42122e8i | −0.0522781 | − | 0.0905483i | ||||
\(425\) | −4.94926e8 | − | 3.37435e8i | −0.312737 | − | 0.213220i | ||||
\(426\) | 5.95461e7 | − | 2.60889e8i | 0.0373181 | − | 0.163501i | ||||
\(427\) | −1.96193e9 | − | 2.95713e8i | −1.21951 | − | 0.183812i | ||||
\(428\) | −1.76643e7 | − | 2.21503e7i | −0.0108904 | − | 0.0136561i | ||||
\(429\) | −6.24772e7 | −0.0382051 | ||||||||
\(430\) | −1.49160e9 | − | 1.00965e9i | −0.904716 | − | 0.612396i | ||||
\(431\) | −8.50543e8 | −0.511712 | −0.255856 | − | 0.966715i | \(-0.582357\pi\) | ||||
−0.255856 | + | 0.966715i | \(0.582357\pi\) | |||||||
\(432\) | 4.90555e8 | + | 6.15137e8i | 0.292749 | + | 0.367095i | ||||
\(433\) | 2.26246e9 | + | 3.41011e8i | 1.33929 | + | 0.201865i | 0.779307 | − | 0.626642i | \(-0.215571\pi\) |
0.559979 | + | 0.828507i | \(0.310809\pi\) | |||||||
\(434\) | 1.38814e9 | − | 6.08185e9i | 0.815117 | − | 3.57126i | ||||
\(435\) | 3.79396e8 | + | 2.58668e8i | 0.220994 | + | 0.150671i | ||||
\(436\) | 2.49286e8 | + | 4.31776e8i | 0.144044 | + | 0.249492i | ||||
\(437\) | 8.57679e8 | − | 1.48554e9i | 0.491631 | − | 0.851530i | ||||
\(438\) | 8.74176e8 | − | 4.20981e8i | 0.497095 | − | 0.239388i | ||||
\(439\) | −2.11466e9 | − | 6.52287e8i | −1.19293 | − | 0.367971i | −0.366183 | − | 0.930543i | \(-0.619336\pi\) |
−0.826748 | + | 0.562572i | \(0.809812\pi\) | |||||||
\(440\) | 5.01298e6 | + | 6.68935e7i | 0.00280551 | + | 0.0374369i | ||||
\(441\) | 7.92975e8 | + | 3.47425e9i | 0.440275 | + | 1.92897i | ||||
\(442\) | 1.88349e8 | − | 4.79906e8i | 0.103749 | − | 0.264349i | ||||
\(443\) | 2.24050e8 | − | 2.98974e9i | 0.122442 | − | 1.63388i | −0.510639 | − | 0.859795i | \(-0.670591\pi\) |
0.633081 | − | 0.774085i | \(-0.281790\pi\) | |||||||
\(444\) | −4.41930e8 | + | 6.66102e7i | −0.239614 | + | 0.0361161i | ||||
\(445\) | 1.76092e9 | + | 1.63390e9i | 0.947283 | + | 0.878950i | ||||
\(446\) | 2.25278e9 | + | 1.08488e9i | 1.20240 | + | 0.579043i | ||||
\(447\) | −2.73496e8 | + | 1.86466e8i | −0.144835 | + | 0.0987471i | ||||
\(448\) | 1.11363e9 | + | 2.83749e9i | 0.585153 | + | 1.49094i | ||||
\(449\) | 1.15494e9 | − | 3.56251e8i | 0.602138 | − | 0.185735i | 0.0213258 | − | 0.999773i | \(-0.493211\pi\) |
0.580812 | + | 0.814038i | \(0.302735\pi\) | |||||||
\(450\) | 7.31423e8 | − | 6.78662e8i | 0.378377 | − | 0.351083i | ||||
\(451\) | −7.22178e8 | + | 9.05583e8i | −0.370703 | + | 0.464847i | ||||
\(452\) | −1.44202e9 | + | 1.80823e9i | −0.734490 | + | 0.921021i | ||||
\(453\) | 2.11518e8 | − | 1.96260e8i | 0.106906 | − | 0.0991947i | ||||
\(454\) | −4.30952e9 | + | 1.32931e9i | −2.16139 | + | 0.666700i | ||||
\(455\) | 2.10830e8 | + | 5.37187e8i | 0.104928 | + | 0.267353i | ||||
\(456\) | −1.82697e7 | + | 1.24561e7i | −0.00902307 | + | 0.00615182i | ||||
\(457\) | 2.76153e9 | + | 1.32988e9i | 1.35345 | + | 0.651788i | 0.963166 | − | 0.268906i | \(-0.0866623\pi\) |
0.390285 | + | 0.920694i | \(0.372377\pi\) | |||||||
\(458\) | −1.94343e9 | − | 1.80324e9i | −0.945236 | − | 0.877051i | ||||
\(459\) | 8.96349e8 | − | 1.35103e8i | 0.432646 | − | 0.0652109i | ||||
\(460\) | 1.48087e8 | − | 1.97609e9i | 0.0709358 | − | 0.946572i | ||||
\(461\) | −1.28026e8 | + | 3.26204e8i | −0.0608617 | + | 0.155073i | −0.958070 | − | 0.286535i | \(-0.907497\pi\) |
0.897208 | + | 0.441608i | \(0.145592\pi\) | |||||||
\(462\) | −2.11846e8 | − | 9.28159e8i | −0.0999480 | − | 0.437901i | ||||
\(463\) | 3.14809e8 | + | 4.20083e9i | 0.147405 | + | 1.96699i | 0.238488 | + | 0.971145i | \(0.423348\pi\) |
−0.0910824 | + | 0.995843i | \(0.529033\pi\) | |||||||
\(464\) | −3.16726e9 | − | 9.76972e8i | −1.47188 | − | 0.454014i | ||||
\(465\) | 5.26356e8 | − | 2.53480e8i | 0.242770 | − | 0.116912i | ||||
\(466\) | −1.75961e8 | + | 3.04774e8i | −0.0805503 | + | 0.139517i | ||||
\(467\) | 1.48387e9 | + | 2.57014e9i | 0.674196 | + | 1.16774i | 0.976703 | + | 0.214595i | \(0.0688432\pi\) |
−0.302507 | + | 0.953147i | \(0.597823\pi\) | |||||||
\(468\) | 3.46864e8 | + | 2.36488e8i | 0.156423 | + | 0.106647i | ||||
\(469\) | −7.49841e8 | + | 3.28527e9i | −0.335633 | + | 1.47050i | ||||
\(470\) | 1.62536e9 | + | 2.44984e8i | 0.722118 | + | 0.108842i | ||||
\(471\) | 8.83115e7 | + | 1.10739e8i | 0.0389443 | + | 0.0488346i | ||||
\(472\) | −4.03073e7 | −0.0176436 | ||||||||
\(473\) | −1.63815e9 | − | 7.82141e8i | −0.711768 | − | 0.339837i | ||||
\(474\) | 8.94127e8 | 0.385634 | ||||||||
\(475\) | 4.39435e8 | + | 5.51034e8i | 0.188134 | + | 0.235913i | ||||
\(476\) | 3.79756e9 | + | 5.72390e8i | 1.61391 | + | 0.243258i | ||||
\(477\) | 8.56441e8 | − | 3.75231e9i | 0.361312 | − | 1.58301i | ||||
\(478\) | 2.37012e9 | + | 1.61592e9i | 0.992595 | + | 0.676740i | ||||
\(479\) | −2.14978e9 | − | 3.72352e9i | −0.893756 | − | 1.54803i | −0.835337 | − | 0.549738i | \(-0.814728\pi\) |
−0.0584184 | − | 0.998292i | \(-0.518606\pi\) | |||||||
\(480\) | −3.05927e8 | + | 5.29882e8i | −0.126262 | + | 0.218693i | ||||
\(481\) | 5.03180e8 | − | 2.42319e8i | 0.206165 | − | 0.0992840i | ||||
\(482\) | −5.58954e9 | − | 1.72415e9i | −2.27359 | − | 0.701309i | ||||
\(483\) | −9.57369e7 | − | 1.27752e9i | −0.0386602 | − | 0.515885i | ||||
\(484\) | 2.00612e8 | + | 8.78938e8i | 0.0804263 | + | 0.352371i | ||||
\(485\) | −9.72866e7 | + | 2.47882e8i | −0.0387219 | + | 0.0986618i | ||||
\(486\) | −1.70810e8 | + | 2.27930e9i | −0.0674972 | + | 0.900687i | ||||
\(487\) | −3.58926e9 | + | 5.40994e8i | −1.40817 | + | 0.212247i | −0.808732 | − | 0.588178i | \(-0.799846\pi\) |
−0.599434 | + | 0.800424i | \(0.704607\pi\) | |||||||
\(488\) | 8.04520e7 | + | 7.46485e7i | 0.0313377 | + | 0.0290771i | ||||
\(489\) | −1.67231e8 | − | 8.05341e7i | −0.0646748 | − | 0.0311457i | ||||
\(490\) | −4.91478e9 | + | 3.35084e9i | −1.88720 | + | 1.28667i | ||||
\(491\) | 1.28973e9 | + | 3.28618e9i | 0.491715 | + | 1.25287i | 0.934411 | + | 0.356197i | \(0.115927\pi\) |
−0.442696 | + | 0.896672i | \(0.645978\pi\) | |||||||
\(492\) | −4.21475e8 | + | 1.30008e8i | −0.159549 | + | 0.0492144i | ||||
\(493\) | −2.79932e9 | + | 2.59739e9i | −1.05217 | + | 0.976275i | ||||
\(494\) | −3.78204e8 | + | 4.74252e8i | −0.141150 | + | 0.176997i | ||||
\(495\) | −9.80901e8 | + | 1.23001e9i | −0.363502 | + | 0.455817i | ||||
\(496\) | −3.09128e9 | + | 2.86829e9i | −1.13750 | + | 1.05545i | ||||
\(497\) | −2.38038e9 | + | 7.34250e8i | −0.869759 | + | 0.268285i | ||||
\(498\) | −3.08907e8 | − | 7.87083e8i | −0.112079 | − | 0.285573i | ||||
\(499\) | 3.44461e9 | − | 2.34850e9i | 1.24105 | − | 0.846132i | 0.248577 | − | 0.968612i | \(-0.420037\pi\) |
0.992471 | + | 0.122480i | \(0.0390847\pi\) | |||||||
\(500\) | 2.61482e9 | + | 1.25923e9i | 0.935505 | + | 0.450516i | ||||
\(501\) | −5.55069e8 | − | 5.15029e8i | −0.197204 | − | 0.182978i | ||||
\(502\) | 3.89515e9 | − | 5.87100e8i | 1.37424 | − | 0.207133i | ||||
\(503\) | −1.41479e8 | + | 1.88791e9i | −0.0495684 | + | 0.661445i | 0.915980 | + | 0.401223i | \(0.131415\pi\) |
−0.965549 | + | 0.260222i | \(0.916204\pi\) | |||||||
\(504\) | 1.06461e8 | − | 2.71259e8i | 0.0370413 | − | 0.0943796i | ||||
\(505\) | −3.58928e8 | − | 1.57257e9i | −0.124019 | − | 0.543362i | ||||
\(506\) | −3.05292e8 | − | 4.07384e9i | −0.104758 | − | 1.39790i | ||||
\(507\) | −6.20975e8 | − | 1.91546e8i | −0.211615 | − | 0.0652746i | ||||
\(508\) | 1.62184e9 | − | 7.81035e8i | 0.548888 | − | 0.264331i | ||||
\(509\) | 2.65182e9 | − | 4.59309e9i | 0.891318 | − | 1.54381i | 0.0530207 | − | 0.998593i | \(-0.483115\pi\) |
0.838297 | − | 0.545214i | \(-0.183552\pi\) | |||||||
\(510\) | 3.67849e8 | + | 6.37134e8i | 0.122793 | + | 0.212684i | ||||
\(511\) | −7.46267e9 | − | 5.08796e9i | −2.47412 | − | 1.68683i | ||||
\(512\) | 9.39874e8 | − | 4.11786e9i | 0.309474 | − | 1.35590i | ||||
\(513\) | −1.05465e9 | − | 1.58963e8i | −0.344904 | − | 0.0519858i | ||||
\(514\) | 4.00052e9 | + | 5.01650e9i | 1.29941 | + | 1.62941i | ||||
\(515\) | 7.84602e8 | 0.253119 | ||||||||
\(516\) | −3.47631e8 | − | 5.97484e8i | −0.111390 | − | 0.191449i | ||||
\(517\) | 1.65659e9 | 0.527228 | ||||||||
\(518\) | 5.30605e9 | + | 6.65358e9i | 1.67732 | + | 2.10330i | ||||
\(519\) | 3.01452e8 | + | 4.54366e7i | 0.0946526 | + | 0.0142666i | ||||
\(520\) | 7.10307e6 | − | 3.11206e7i | 0.00221531 | − | 0.00970591i | ||||
\(521\) | −1.98714e9 | − | 1.35481e9i | −0.615598 | − | 0.419708i | 0.214973 | − | 0.976620i | \(-0.431034\pi\) |
−0.830571 | + | 0.556912i | \(0.811986\pi\) | |||||||
\(522\) | −3.18044e9 | − | 5.50868e9i | −0.978679 | − | 1.69512i | ||||
\(523\) | −1.72826e9 | + | 2.99343e9i | −0.528265 | + | 0.914982i | 0.471192 | + | 0.882031i | \(0.343824\pi\) |
−0.999457 | + | 0.0329513i | \(0.989509\pi\) | |||||||
\(524\) | 2.37019e8 | − | 1.14142e8i | 0.0719654 | − | 0.0346567i | ||||
\(525\) | 5.02989e8 | + | 1.55152e8i | 0.151705 | + | 0.0467949i | ||||
\(526\) | −2.32043e8 | − | 3.09640e9i | −0.0695214 | − | 0.927698i | ||||
\(527\) | 1.08111e9 | + | 4.73667e9i | 0.321762 | + | 1.40973i | ||||
\(528\) | −2.35120e8 | + | 5.99075e8i | −0.0695137 | + | 0.177118i | ||||
\(529\) | 1.56375e8 | − | 2.08668e9i | 0.0459274 | − | 0.612858i | ||||
\(530\) | 6.35270e9 | − | 9.57515e8i | 1.85350 | − | 0.279370i | ||||
\(531\) | −6.92971e8 | − | 6.42983e8i | −0.200856 | − | 0.186367i | ||||
\(532\) | −4.07121e9 | − | 1.96059e9i | −1.17228 | − | 0.564543i | ||||
\(533\) | 4.55403e8 | − | 3.10489e8i | 0.130272 | − | 0.0888179i | ||||
\(534\) | 6.88961e8 | + | 1.75544e9i | 0.195794 | + | 0.498876i | ||||
\(535\) | −4.82779e7 | + | 1.48918e7i | −0.0136304 | + | 0.00420444i | ||||
\(536\) | 1.36639e8 | − | 1.26782e8i | 0.0383263 | − | 0.0355617i | ||||
\(537\) | 2.65348e8 | − | 3.32736e8i | 0.0739446 | − | 0.0927235i | ||||
\(538\) | 1.96874e9 | − | 2.46872e9i | 0.545068 | − | 0.683493i | ||||
\(539\) | −4.39461e9 | + | 4.07760e9i | −1.20881 | + | 1.12161i | ||||
\(540\) | −1.17738e9 | + | 3.63175e8i | −0.321766 | + | 0.0992516i | ||||
\(541\) | 1.57987e9 | + | 4.02543e9i | 0.428973 | + | 1.09301i | 0.968052 | + | 0.250750i | \(0.0806772\pi\) |
−0.539079 | + | 0.842255i | \(0.681228\pi\) | |||||||
\(542\) | −6.92526e9 | + | 4.72156e9i | −1.86826 | + | 1.27376i | ||||
\(543\) | 8.89819e8 | + | 4.28514e8i | 0.238508 | + | 0.114859i | ||||
\(544\) | −3.73004e9 | − | 3.46097e9i | −0.993385 | − | 0.921726i | ||||
\(545\) | 8.79159e8 | − | 1.32512e8i | 0.232637 | − | 0.0350644i | ||||
\(546\) | −3.38548e7 | + | 4.51761e8i | −0.00890116 | + | 0.118778i | ||||
\(547\) | 1.06319e9 | − | 2.70895e9i | 0.277749 | − | 0.707694i | −0.722124 | − | 0.691764i | \(-0.756834\pi\) |
0.999873 | − | 0.0159301i | \(-0.00507093\pi\) | |||||||
\(548\) | −5.86866e8 | − | 2.57123e9i | −0.152338 | − | 0.667434i | ||||
\(549\) | 1.92351e8 | + | 2.56674e9i | 0.0496124 | + | 0.662031i | ||||
\(550\) | 1.60396e9 | + | 4.94757e8i | 0.411079 | + | 0.126801i | ||||
\(551\) | 4.04816e9 | − | 1.94949e9i | 1.03093 | − | 0.496468i | ||||
\(552\) | −3.54319e7 | + | 6.13699e7i | −0.00896619 | + | 0.0155299i | ||||
\(553\) | −4.16168e9 | − | 7.20825e9i | −1.04648 | − | 1.81256i | ||||
\(554\) | 3.46819e9 | + | 2.36457e9i | 0.866601 | + | 0.590838i | ||||
\(555\) | −1.77345e8 | + | 7.77000e8i | −0.0440346 | + | 0.192928i | ||||
\(556\) | 4.77213e9 | + | 7.19283e8i | 1.17747 | + | 0.177475i | ||||
\(557\) | −4.51043e9 | − | 5.65590e9i | −1.10592 | − | 1.38678i | −0.914166 | − | 0.405340i | \(-0.867153\pi\) |
−0.191756 | − | 0.981443i | \(-0.561418\pi\) | |||||||
\(558\) | −8.09283e9 | −1.97188 | ||||||||
\(559\) | 6.35185e8 | + | 5.85419e8i | 0.153801 | + | 0.141751i | ||||
\(560\) | 5.94434e9 | 1.43036 | ||||||||
\(561\) | 4.62292e8 | + | 5.79696e8i | 0.110547 | + | 0.138621i | ||||
\(562\) | −8.13481e9 | − | 1.22613e9i | −1.93317 | − | 0.291379i | ||||
\(563\) | 1.11966e8 | − | 4.90556e8i | 0.0264428 | − | 0.115854i | −0.959984 | − | 0.280055i | \(-0.909647\pi\) |
0.986427 | + | 0.164201i | \(0.0525046\pi\) | |||||||
\(564\) | 5.21212e8 | + | 3.55356e8i | 0.122331 | + | 0.0834040i | ||||
\(565\) | 2.06219e9 | + | 3.57181e9i | 0.481015 | + | 0.833143i | ||||
\(566\) | −1.15925e9 | + | 2.00788e9i | −0.268732 | + | 0.465457i | ||||
\(567\) | 5.78871e9 | − | 2.78770e9i | 1.33365 | − | 0.642251i | ||||
\(568\) | 1.31670e8 | + | 4.06149e7i | 0.0301487 | + | 0.00929964i | ||||
\(569\) | −4.02392e8 | − | 5.36955e9i | −0.0915706 | − | 1.22193i | −0.833910 | − | 0.551901i | \(-0.813903\pi\) |
0.742339 | − | 0.670024i | \(-0.233716\pi\) | |||||||
\(570\) | −1.92620e8 | − | 8.43925e8i | −0.0435652 | − | 0.190872i | ||||
\(571\) | −9.32666e8 | + | 2.37639e9i | −0.209652 | + | 0.534185i | −0.996559 | − | 0.0828867i | \(-0.973586\pi\) |
0.786907 | + | 0.617072i | \(0.211681\pi\) | |||||||
\(572\) | −5.27772e7 | + | 7.04263e8i | −0.0117913 | + | 0.157343i | ||||
\(573\) | −8.31870e8 | + | 1.25384e8i | −0.184720 | + | 0.0278421i | ||||
\(574\) | 6.15678e9 | + | 5.71266e9i | 1.35882 | + | 1.26080i | ||||
\(575\) | 2.03505e9 | + | 9.80027e8i | 0.446413 | + | 0.214981i | ||||
\(576\) | 3.26728e9 | − | 2.22759e9i | 0.712373 | − | 0.485688i | ||||
\(577\) | 2.24426e9 | + | 5.71827e9i | 0.486359 | + | 1.23922i | 0.937879 | + | 0.346962i | \(0.112787\pi\) |
−0.451520 | + | 0.892261i | \(0.649118\pi\) | |||||||
\(578\) | 3.58546e8 | − | 1.10597e8i | 0.0772321 | − | 0.0238229i | ||||
\(579\) | −6.91869e8 | + | 6.41961e8i | −0.148132 | + | 0.137446i | ||||
\(580\) | 3.23627e9 | − | 4.05816e9i | 0.688727 | − | 0.863637i | ||||
\(581\) | −4.90749e9 | + | 6.15379e9i | −1.03811 | + | 1.30175i | ||||
\(582\) | −1.53243e8 | + | 1.42189e8i | −0.0322218 | + | 0.0298974i | ||||
\(583\) | 6.18710e9 | − | 1.90847e9i | 1.29314 | − | 0.398882i | ||||
\(584\) | 1.82527e8 | + | 4.65072e8i | 0.0379213 | + | 0.0966219i | ||||
\(585\) | 6.18553e8 | − | 4.21722e8i | 0.127741 | − | 0.0870925i | ||||
\(586\) | 7.07962e9 | + | 3.40937e9i | 1.45334 | + | 0.699893i | ||||
\(587\) | 1.35589e9 | + | 1.25808e9i | 0.276689 | + | 0.256729i | 0.806294 | − | 0.591514i | \(-0.201470\pi\) |
−0.529606 | + | 0.848244i | \(0.677660\pi\) | |||||||
\(588\) | −2.25736e9 | + | 3.40242e8i | −0.457910 | + | 0.0690188i | ||||
\(589\) | 4.27196e8 | − | 5.70053e9i | 0.0861437 | − | 1.14951i | ||||
\(590\) | 5.76485e8 | − | 1.46886e9i | 0.115560 | − | 0.294441i | ||||
\(591\) | 1.81501e8 | + | 7.95206e8i | 0.0361678 | + | 0.158461i | ||||
\(592\) | −4.29910e8 | − | 5.73676e9i | −0.0851632 | − | 1.13642i | ||||
\(593\) | 7.01683e9 | + | 2.16441e9i | 1.38181 | + | 0.426233i | 0.894529 | − | 0.447010i | \(-0.147511\pi\) |
0.487285 | + | 0.873243i | \(0.337987\pi\) | |||||||
\(594\) | −2.28856e9 | + | 1.10211e9i | −0.448032 | + | 0.215761i | ||||
\(595\) | 3.42429e9 | − | 5.93104e9i | 0.666439 | − | 1.15431i | ||||
\(596\) | 1.87087e9 | + | 3.24045e9i | 0.361979 | + | 0.626965i | ||||
\(597\) | −1.17359e8 | − | 8.00139e7i | −0.0225738 | − | 0.0153906i | ||||
\(598\) | −4.32580e8 | + | 1.89526e9i | −0.0827203 | + | 0.362421i | ||||
\(599\) | −1.69214e9 | − | 2.55050e8i | −0.321694 | − | 0.0484876i | −0.0137899 | − | 0.999905i | \(-0.504390\pi\) |
−0.307904 | + | 0.951417i | \(0.599628\pi\) | |||||||
\(600\) | −1.81537e7 | − | 2.27640e7i | −0.00343112 | − | 0.00430249i | ||||
\(601\) | −5.85385e9 | −1.09997 | −0.549985 | − | 0.835174i | \(-0.685367\pi\) | ||||
−0.549985 | + | 0.835174i | \(0.685367\pi\) | |||||||
\(602\) | −6.54319e9 | + | 1.14213e10i | −1.22237 | + | 2.13368i | ||||
\(603\) | 4.37155e9 | 0.811942 | ||||||||
\(604\) | −2.03363e9 | − | 2.55009e9i | −0.375528 | − | 0.470897i | ||||
\(605\) | 1.58974e9 | + | 2.39614e8i | 0.291864 | + | 0.0439915i | ||||
\(606\) | 2.81772e8 | − | 1.23452e9i | 0.0514332 | − | 0.225344i | ||||
\(607\) | −4.05569e9 | − | 2.76512e9i | −0.736046 | − | 0.501827i | 0.136330 | − | 0.990663i | \(-0.456469\pi\) |
−0.872376 | + | 0.488836i | \(0.837422\pi\) | |||||||
\(608\) | 2.99350e9 | + | 5.18490e9i | 0.540154 | + | 0.935574i | ||||
\(609\) | 1.67783e9 | − | 2.90608e9i | 0.301014 | − | 0.521372i | ||||
\(610\) | −3.87095e9 | + | 1.86415e9i | −0.690499 | + | 0.332527i | ||||
\(611\) | −7.53277e8 | − | 2.32355e8i | −0.133601 | − | 0.0412105i | ||||
\(612\) | −3.72319e8 | − | 4.96825e9i | −0.0656577 | − | 0.876141i | ||||
\(613\) | 5.80416e8 | + | 2.54297e9i | 0.101772 | + | 0.445892i | 0.999980 | + | 0.00632121i | \(0.00201212\pi\) |
−0.898208 | + | 0.439570i | \(0.855131\pi\) | |||||||
\(614\) | 3.79720e9 | − | 9.67510e9i | 0.662024 | − | 1.68681i | ||||
\(615\) | −5.87788e7 | + | 7.84349e8i | −0.0101896 | + | 0.135971i | ||||
\(616\) | 4.84744e8 | − | 7.30635e7i | 0.0835565 | − | 0.0125941i | ||||
\(617\) | −4.70365e9 | − | 4.36435e9i | −0.806190 | − | 0.748035i | 0.165012 | − | 0.986291i | \(-0.447234\pi\) |
−0.971202 | + | 0.238257i | \(0.923424\pi\) | |||||||
\(618\) | 5.54945e8 | + | 2.67248e8i | 0.0945781 | + | 0.0455464i | ||||
\(619\) | −8.81112e9 | + | 6.00732e9i | −1.49319 | + | 1.01804i | −0.505285 | + | 0.862953i | \(0.668612\pi\) |
−0.987901 | + | 0.155084i | \(0.950435\pi\) | |||||||
\(620\) | −2.41267e9 | − | 6.14738e9i | −0.406562 | − | 1.03590i | ||||
\(621\) | −3.26625e9 | + | 1.00750e9i | −0.547304 | + | 0.168821i | ||||
\(622\) | −6.81047e9 | + | 6.31919e9i | −1.13478 | + | 1.05292i | ||||
\(623\) | 1.09452e10 | − | 1.37249e10i | 1.81350 | − | 2.27405i | ||||
\(624\) | 1.90939e8 | − | 2.39430e8i | 0.0314593 | − | 0.0394487i | ||||
\(625\) | 2.04921e9 | − | 1.90139e9i | 0.335743 | − | 0.311524i | ||||
\(626\) | −9.84937e9 | + | 3.03813e9i | −1.60472 | + | 0.494989i | ||||
\(627\) | −3.18725e8 | − | 8.12099e8i | −0.0516393 | − | 0.131575i | ||||
\(628\) | 1.32289e9 | − | 9.01929e8i | 0.213140 | − | 0.145316i | ||||
\(629\) | −5.97158e9 | − | 2.87576e9i | −0.956779 | − | 0.460761i | ||||
\(630\) | 8.36247e9 | + | 7.75924e9i | 1.33242 | + | 1.23631i | ||||
\(631\) | 6.94980e9 | − | 1.04751e9i | 1.10121 | − | 0.165981i | 0.426806 | − | 0.904343i | \(-0.359639\pi\) |
0.674404 | + | 0.738363i | \(0.264401\pi\) | |||||||
\(632\) | −3.44061e7 | + | 4.59118e8i | −0.00542158 | + | 0.0723459i | ||||
\(633\) | 5.40977e8 | − | 1.37839e9i | 0.0847746 | − | 0.216002i | ||||
\(634\) | 1.01437e9 | + | 4.44425e9i | 0.158083 | + | 0.692606i | ||||
\(635\) | −2.39889e8 | − | 3.20109e9i | −0.0371794 | − | 0.496124i | ||||
\(636\) | 2.35603e9 | + | 7.26738e8i | 0.363145 | + | 0.112015i | ||||
\(637\) | 2.57022e9 | − | 1.23775e9i | 0.393987 | − | 0.189734i | ||||
\(638\) | 5.35037e9 | − | 9.26711e9i | 0.815664 | − | 1.41277i | ||||
\(639\) | 1.61581e9 | + | 2.79866e9i | 0.244983 | + | 0.424324i | ||||
\(640\) | −5.21120e8 | − | 3.55293e8i | −0.0785792 | − | 0.0535744i | ||||
\(641\) | −2.04605e9 | + | 8.96434e9i | −0.306841 | + | 1.34436i | 0.552737 | + | 0.833356i | \(0.313583\pi\) |
−0.859578 | + | 0.511004i | \(0.829274\pi\) | |||||||
\(642\) | −3.92191e7 | − | 5.91132e6i | −0.00584958 | − | 0.000881682i | ||||
\(643\) | −9.04333e8 | − | 1.13400e9i | −0.134150 | − | 0.168219i | 0.710219 | − | 0.703981i | \(-0.248596\pi\) |
−0.844369 | + | 0.535762i | \(0.820024\pi\) | |||||||
\(644\) | −1.44815e10 | −2.13655 | ||||||||
\(645\) | −1.21830e9 | + | 1.87805e8i | −0.178771 | + | 0.0275581i | ||||
\(646\) | 7.19883e9 | 1.05063 | ||||||||
\(647\) | 9.02264e8 | + | 1.13140e9i | 0.130969 | + | 0.164230i | 0.842992 | − | 0.537926i | \(-0.180792\pi\) |
−0.712023 | + | 0.702156i | \(0.752221\pi\) | |||||||
\(648\) | −3.51427e8 | − | 5.29691e7i | −0.0507367 | − | 0.00764733i | ||||
\(649\) | 3.53873e8 | − | 1.55042e9i | 0.0508149 | − | 0.222635i | ||||
\(650\) | −6.59951e8 | − | 4.49947e8i | −0.0942573 | − | 0.0642635i | ||||
\(651\) | −2.13467e9 | − | 3.69736e9i | −0.303248 | − | 0.525240i | ||||
\(652\) | −1.04907e9 | + | 1.81705e9i | −0.148231 | + | 0.256744i | ||||
\(653\) | −2.50593e9 | + | 1.20679e9i | −0.352186 | + | 0.169604i | −0.601609 | − | 0.798791i | \(-0.705473\pi\) |
0.249423 | + | 0.968395i | \(0.419759\pi\) | |||||||
\(654\) | 6.66960e8 | + | 2.05730e8i | 0.0932347 | + | 0.0287591i | ||||
\(655\) | −3.50579e7 | − | 4.67815e8i | −0.00487463 | − | 0.0650474i | ||||
\(656\) | −1.26337e9 | − | 5.53518e9i | −0.174730 | − | 0.765541i | ||||
\(657\) | −4.28079e9 | + | 1.09073e10i | −0.588905 | + | 1.50051i | ||||
\(658\) | 8.97666e8 | − | 1.19785e10i | 0.122836 | − | 1.63913i | ||||
\(659\) | −8.55928e9 | + | 1.29010e9i | −1.16503 | + | 0.175601i | −0.702952 | − | 0.711237i | \(-0.748135\pi\) |
−0.462081 | + | 0.886838i | \(0.652897\pi\) | |||||||
\(660\) | −7.38789e8 | − | 6.85496e8i | −0.100027 | − | 0.0928114i | ||||
\(661\) | 2.54165e9 | + | 1.22399e9i | 0.342303 | + | 0.164844i | 0.597135 | − | 0.802141i | \(-0.296306\pi\) |
−0.254832 | + | 0.966985i | \(0.582020\pi\) | |||||||
\(662\) | −1.10940e10 | + | 7.56374e9i | −1.48622 | + | 1.01329i | ||||
\(663\) | −1.28902e8 | − | 3.28438e8i | −0.0171776 | − | 0.0437679i | ||||
\(664\) | 4.16039e8 | − | 1.28331e8i | 0.0551501 | − | 0.0170115i | ||||
\(665\) | −5.90699e9 | + | 5.48088e9i | −0.778915 | + | 0.722728i | ||||
\(666\) | 6.88348e9 | − | 8.63161e9i | 0.902918 | − | 1.13222i | ||||
\(667\) | 8.97794e9 | − | 1.12580e10i | 1.17148 | − | 1.46899i | ||||
\(668\) | −6.27446e9 | + | 5.82185e9i | −0.814439 | + | 0.755689i | ||||
\(669\) | 1.63520e9 | − | 5.04392e8i | 0.211144 | − | 0.0651294i | ||||
\(670\) | 2.66590e9 | + | 6.79260e9i | 0.342438 | + | 0.872517i | ||||
\(671\) | −3.57767e9 | + | 2.43921e9i | −0.457163 | + | 0.311689i | ||||
\(672\) | 4.02855e9 | + | 1.94005e9i | 0.512102 | + | 0.246615i | ||||
\(673\) | −2.41813e9 | − | 2.24369e9i | −0.305792 | − | 0.283734i | 0.512317 | − | 0.858796i | \(-0.328787\pi\) |
−0.818109 | + | 0.575063i | \(0.804978\pi\) | |||||||
\(674\) | −1.28560e10 | + | 1.93773e9i | −1.61732 | + | 0.243772i | ||||
\(675\) | 1.04952e8 | − | 1.40049e9i | 0.0131350 | − | 0.175274i | ||||
\(676\) | −2.68373e9 | + | 6.83803e9i | −0.334137 | + | 0.851368i | ||||
\(677\) | 2.29950e9 | + | 1.00748e10i | 0.284822 | + | 1.24788i | 0.891531 | + | 0.452961i | \(0.149632\pi\) |
−0.606709 | + | 0.794924i | \(0.707511\pi\) | |||||||
\(678\) | 2.41961e8 | + | 3.22874e9i | 0.0298154 | + | 0.397859i | ||||
\(679\) | 1.85955e9 | + | 5.73597e8i | 0.227963 | + | 0.0703173i | ||||
\(680\) | −3.41311e8 | + | 1.64367e8i | −0.0416265 | + | 0.0200463i | ||||
\(681\) | −1.54324e9 | + | 2.67296e9i | −0.187248 | + | 0.324323i | ||||
\(682\) | −6.80717e9 | − | 1.17904e10i | −0.821716 | − | 1.42325i | ||||
\(683\) | 1.18317e9 | + | 8.06670e8i | 0.142093 | + | 0.0968776i | 0.632280 | − | 0.774740i | \(-0.282119\pi\) |
−0.490187 | + | 0.871617i | \(0.663071\pi\) | |||||||
\(684\) | −1.30443e9 | + | 5.71510e9i | −0.155857 | + | 0.682853i | ||||
\(685\) | −4.65058e9 | − | 7.00962e8i | −0.552828 | − | 0.0833254i | ||||
\(686\) | 1.41395e10 | + | 1.77303e10i | 1.67224 | + | 2.09692i | ||||
\(687\) | −1.81440e9 | −0.213493 | ||||||||
\(688\) | 8.00379e9 | − | 3.88750e9i | 0.936993 | − | 0.455105i | ||||
\(689\) | −3.08105e9 | −0.358865 | ||||||||
\(690\) | −1.72966e9 | − | 2.16892e9i | −0.200442 | − | 0.251346i | ||||
\(691\) | 9.23381e9 | + | 1.39177e9i | 1.06465 | + | 0.160470i | 0.657928 | − | 0.753081i | \(-0.271433\pi\) |
0.406724 | + | 0.913551i | \(0.366671\pi\) | |||||||
\(692\) | 7.66826e8 | − | 3.35968e9i | 0.0879681 | − | 0.385414i | ||||
\(693\) | 9.49932e9 | + | 6.47652e9i | 1.08424 | + | 0.739223i | ||||
\(694\) | 5.87776e9 | + | 1.01806e10i | 0.667503 | + | 1.15615i | ||||
\(695\) | 4.30306e9 | − | 7.45312e9i | 0.486218 | − | 0.842154i | ||||
\(696\) | −1.67235e8 | + | 8.05363e7i | −0.0188016 | + | 0.00905439i | ||||
\(697\) | −6.25057e9 | − | 1.92805e9i | −0.699206 | − | 0.215676i | ||||
\(698\) | 1.37161e9 | + | 1.83029e10i | 0.152664 | + | 2.03716i | ||||
\(699\) | 5.35940e7 | + | 2.34811e8i | 0.00593534 | + | 0.0260044i | ||||
\(700\) | 2.17381e9 | − | 5.53879e9i | 0.239541 | − | 0.610340i | ||||
\(701\) | 3.66688e8 | − | 4.89311e9i | 0.0402053 | − | 0.536503i | −0.940343 | − | 0.340227i | \(-0.889496\pi\) |
0.980549 | − | 0.196276i | \(-0.0628848\pi\) | |||||||
\(702\) | 1.19522e9 | − | 1.80151e8i | 0.130397 | − | 0.0196543i | ||||
\(703\) | 5.71669e9 | + | 5.30432e9i | 0.620585 | + | 0.575819i | ||||
\(704\) | 5.99359e9 | + | 2.88636e9i | 0.647415 | + | 0.311779i | ||||
\(705\) | 9.29461e8 | − | 6.33696e8i | 0.0999009 | − | 0.0681113i | ||||
\(706\) | 2.24860e9 | + | 5.72935e9i | 0.240490 | + | 0.612758i | ||||
\(707\) | −1.12640e10 | + | 3.47447e9i | −1.19873 | + | 0.369761i | ||||
\(708\) | 4.43920e8 | − | 4.11898e8i | 0.0470098 | − | 0.0436187i | ||||
\(709\) | −9.05084e9 | + | 1.13494e10i | −0.953734 | + | 1.19594i | 0.0268096 | + | 0.999641i | \(0.491465\pi\) |
−0.980543 | + | 0.196304i | \(0.937106\pi\) | |||||||
\(710\) | −3.36325e9 | + | 4.21738e9i | −0.352659 | + | 0.442220i | ||||
\(711\) | −7.91536e9 | + | 7.34438e9i | −0.825899 | + | 0.766323i | ||||
\(712\) | −9.27899e8 | + | 2.86219e8i | −0.0963431 | + | 0.0297179i | ||||
\(713\) | −6.69313e9 | − | 1.70538e10i | −0.691537 | − | 1.76201i | ||||
\(714\) | 4.44218e9 | − | 3.02863e9i | 0.456723 | − | 0.311388i | ||||
\(715\) | 1.13469e9 | + | 5.46439e8i | 0.116093 | + | 0.0559075i | ||||
\(716\) | −3.52656e9 | − | 3.27217e9i | −0.359050 | − | 0.333150i | ||||
\(717\) | 1.94126e9 | − | 2.92598e8i | 0.196683 | − | 0.0296452i | ||||
\(718\) | 1.23161e9 | − | 1.64346e10i | 0.124176 | − | 1.65701i | ||||
\(719\) | −3.49628e8 | + | 8.90838e8i | −0.0350797 | + | 0.0893815i | −0.947340 | − | 0.320229i | \(-0.896240\pi\) |
0.912261 | + | 0.409610i | \(0.134335\pi\) | |||||||
\(720\) | −1.71598e9 | − | 7.51818e9i | −0.171336 | − | 0.750670i | ||||
\(721\) | −4.28485e8 | − | 5.71774e9i | −0.0425758 | − | 0.568134i | ||||
\(722\) | 5.42300e9 | + | 1.67277e9i | 0.536240 | + | 0.165408i | ||||
\(723\) | −3.60678e9 | + | 1.73693e9i | −0.354924 | + | 0.170922i | ||||
\(724\) | 5.58202e9 | − | 9.66834e9i | 0.546646 | − | 0.946819i | ||||
\(725\) | 2.95821e9 | + | 5.12376e9i | 0.288300 | + | 0.499351i | ||||
\(726\) | 1.04280e9 | + | 7.10967e8i | 0.101140 | + | 0.0689558i | ||||
\(727\) | −4.78554e8 | + | 2.09668e9i | −0.0461914 | + | 0.202378i | −0.992758 | − | 0.120130i | \(-0.961669\pi\) |
0.946567 | + | 0.322508i | \(0.104526\pi\) | |||||||
\(728\) | −2.30668e8 | − | 3.47677e7i | −0.0221579 | − | 0.00333976i | ||||
\(729\) | −4.51603e9 | − | 5.66292e9i | −0.431728 | − | 0.541370i | ||||
\(730\) | −1.95585e10 | −1.86082 | ||||||||
\(731\) | 7.31848e8 | − | 1.02253e10i | 0.0692963 | − | 0.968202i | ||||
\(732\) | −1.64888e9 | −0.155381 | ||||||||
\(733\) | 5.14125e8 | + | 6.44692e8i | 0.0482175 | + | 0.0604628i | 0.805356 | − | 0.592792i | \(-0.201974\pi\) |
−0.757138 | + | 0.653255i | \(0.773403\pi\) | |||||||
\(734\) | 9.87247e9 | + | 1.48804e9i | 0.921488 | + | 0.138892i | ||||
\(735\) | −9.05871e8 | + | 3.96888e9i | −0.0841513 | + | 0.368691i | ||||
\(736\) | 1.58531e10 | + | 1.08085e10i | 1.46569 | + | 0.999291i | ||||
\(737\) | 3.67707e9 | + | 6.36888e9i | 0.338350 | + | 0.586039i | ||||
\(738\) | 5.44786e9 | − | 9.43597e9i | 0.498917 | − | 0.864150i | ||||
\(739\) | −6.39110e9 | + | 3.07779e9i | −0.582532 | + | 0.280533i | −0.701852 | − | 0.712323i | \(-0.747643\pi\) |
0.119319 | + | 0.992856i | \(0.461929\pi\) | |||||||
\(740\) | 8.60878e9 | + | 2.65546e9i | 0.780963 | + | 0.240895i | ||||
\(741\) | 3.10234e7 | + | 4.13978e8i | 0.00280108 | + | 0.0373778i | ||||
\(742\) | −1.04471e10 | − | 4.57719e10i | −0.938824 | − | 4.11325i | ||||
\(743\) | 5.75697e9 | − | 1.46685e10i | 0.514912 | − | 1.31197i | −0.403003 | − | 0.915198i | \(-0.632034\pi\) |
0.917915 | − | 0.396776i | \(-0.129871\pi\) | |||||||
\(744\) | −1.76481e7 | + | 2.35497e8i | −0.00157106 | + | 0.0209643i | ||||
\(745\) | 6.59802e9 | − | 9.94492e8i | 0.584611 | − | 0.0881159i | ||||
\(746\) | −9.36550e9 | − | 8.68991e9i | −0.825933 | − | 0.766354i | ||||
\(747\) | 9.19976e9 | + | 4.43037e9i | 0.807522 | + | 0.388882i | ||||
\(748\) | 6.92504e9 | − | 4.72141e9i | 0.605015 | − | 0.412493i | ||||
\(749\) | 1.34888e8 | + | 3.43689e8i | 0.0117297 | + | 0.0298868i | ||||
\(750\) | 3.88243e9 | − | 1.19757e9i | 0.336038 | − | 0.103654i | ||||
\(751\) | −3.07782e9 | + | 2.85580e9i | −0.265157 | + | 0.246030i | −0.801535 | − | 0.597948i | \(-0.795983\pi\) |
0.536378 | + | 0.843978i | \(0.319792\pi\) | |||||||
\(752\) | −5.06278e9 | + | 6.34852e9i | −0.434137 | + | 0.544390i | ||||
\(753\) | 1.68085e9 | − | 2.10772e9i | 0.143465 | − | 0.179900i | ||||
\(754\) | −3.73270e9 | + | 3.46344e9i | −0.317120 | + | 0.294245i | ||||
\(755\) | −5.55806e9 | + | 1.71443e9i | −0.470012 | + | 0.144980i | ||||
\(756\) | 3.28960e9 | + | 8.38177e9i | 0.276896 | + | 0.705520i | ||||
\(757\) | 1.35872e10 | − | 9.26357e9i | 1.13840 | − | 0.776145i | 0.160873 | − | 0.986975i | \(-0.448569\pi\) |
0.977523 | + | 0.210830i | \(0.0676168\pi\) | |||||||
\(758\) | −9.53213e9 | − | 4.59043e9i | −0.794964 | − | 0.382835i | ||||
\(759\) | −2.04952e9 | − | 1.90168e9i | −0.170140 | − | 0.157867i | ||||
\(760\) | 4.40752e8 | − | 6.64327e7i | 0.0364206 | − | 0.00548952i | ||||
\(761\) | 6.15605e8 | − | 8.21468e9i | 0.0506356 | − | 0.675685i | −0.912914 | − | 0.408153i | \(-0.866173\pi\) |
0.963549 | − | 0.267532i | \(-0.0862080\pi\) | |||||||
\(762\) | 9.20669e8 | − | 2.34583e9i | 0.0753809 | − | 0.192067i | ||||
\(763\) | −1.44580e9 | − | 6.33444e9i | −0.117834 | − | 0.516265i | ||||
\(764\) | 7.10654e8 | + | 9.48302e9i | 0.0576543 | + | 0.769343i | ||||
\(765\) | −8.48986e9 | − | 2.61878e9i | −0.685624 | − | 0.211487i | ||||
\(766\) | −1.80677e9 | + | 8.70097e8i | −0.145246 | + | 0.0699466i | ||||
\(767\) | −3.78375e8 | + | 6.55364e8i | −0.0302788 | + | 0.0524444i | ||||
\(768\) | −1.57187e9 | − | 2.72255e9i | −0.125214 | − | 0.216876i | ||||
\(769\) | 8.66852e9 | + | 5.91010e9i | 0.687389 | + | 0.468654i | 0.855964 | − | 0.517035i | \(-0.172964\pi\) |
−0.168575 | + | 0.985689i | \(0.553917\pi\) | |||||||
\(770\) | −4.27039e9 | + | 1.87098e10i | −0.337093 | + | 1.47690i | ||||
\(771\) | 4.34217e9 | + | 6.54477e8i | 0.341206 | + | 0.0514285i | ||||
\(772\) | 6.65194e9 | + | 8.34126e9i | 0.520340 | + | 0.652486i | ||||
\(773\) | 1.90824e9 | 0.148595 | 0.0742974 | − | 0.997236i | \(-0.476329\pi\) | ||||
0.0742974 | + | 0.997236i | \(0.476329\pi\) | |||||||
\(774\) | 1.63341e10 | + | 4.97855e9i | 1.26620 | + | 0.385931i | ||||
\(775\) | 7.52734e9 | 0.580879 | ||||||||
\(776\) | −6.71144e7 | − | 8.41588e7i | −0.00515584 | − | 0.00646522i | ||||
\(777\) | 5.75919e9 | + | 8.68058e8i | 0.440441 | + | 0.0663858i | ||||
\(778\) | 2.29580e9 | − | 1.00585e10i | 0.174785 | − | 0.765785i | ||||
\(779\) | 6.35906e9 | + | 4.33553e9i | 0.481961 | + | 0.328595i | ||||
\(780\) | 2.39790e8 | + | 4.15329e8i | 0.0180926 | + | 0.0313372i | ||||
\(781\) | −2.71823e9 | + | 4.70811e9i | −0.204177 | + | 0.353646i | ||||
\(782\) | 2.07860e10 | − | 1.00100e10i | 1.55434 | − | 0.748532i | ||||
\(783\) | −8.55545e9 | − | 2.63901e9i | −0.636908 | − | 0.196460i | ||||
\(784\) | −2.19596e9 | − | 2.93031e10i | −0.162749 | − | 2.17174i | ||||
\(785\) | −6.35339e8 | − | 2.78360e9i | −0.0468772 | − | 0.205382i | ||||
\(786\) | 1.34549e8 | − | 3.42825e8i | 0.00988327 | − | 0.0251822i | ||||
\(787\) | −1.49891e9 | + | 2.00016e10i | −0.109614 | + | 1.46269i | 0.623093 | + | 0.782147i | \(0.285876\pi\) |
−0.732707 | + | 0.680544i | \(0.761743\pi\) | |||||||
\(788\) | 9.11714e9 | − | 1.37419e9i | 0.663769 | − | 0.100047i | ||||
\(789\) | −1.55778e9 | − | 1.44540e9i | −0.112911 | − | 0.104766i | ||||
\(790\) | −1.62389e10 | − | 7.82022e9i | −1.17182 | − | 0.564318i | ||||
\(791\) | 2.49032e10 | − | 1.69787e10i | 1.78911 | − | 1.21979i | ||||
\(792\) | −2.32341e8 | − | 5.91996e8i | −0.0166184 | − | 0.0423429i | ||||
\(793\) | 1.96895e9 | − | 6.07339e8i | 0.140210 | − | 0.0432489i | ||||
\(794\) | −4.10295e9 | + | 3.80698e9i | −0.290887 | + | 0.269904i | ||||
\(795\) | 2.74134e9 | − | 3.43753e9i | 0.193499 | − | 0.242640i | ||||
\(796\) | −1.00108e9 | + | 1.25531e9i | −0.0703515 | + | 0.0882179i | ||||
\(797\) | −1.38645e10 | + | 1.28644e10i | −0.970065 | + | 0.900089i | −0.995028 | − | 0.0995993i | \(-0.968244\pi\) |
0.0249623 | + | 0.999688i | \(0.492053\pi\) | |||||||
\(798\) | −6.04485e9 | + | 1.86459e9i | −0.421091 | + | 0.129889i | ||||
\(799\) | 3.41786e9 | + | 8.70858e9i | 0.237051 | + | 0.603995i | ||||
\(800\) | −6.51367e9 | + | 4.44094e9i | −0.449791 | + | 0.306662i | ||||
\(801\) | −2.05184e10 | − | 9.88112e9i | −1.41068 | − | 0.679348i | ||||
\(802\) | −1.39536e10 | − | 1.29470e10i | −0.955158 | − | 0.886257i | ||||
\(803\) | −1.94915e10 | + | 2.93787e9i | −1.32843 | + | 0.200229i | ||||
\(804\) | −2.09277e8 | + | 2.79260e9i | −0.0142012 | + | 0.189502i | ||||
\(805\) | −9.43471e9 | + | 2.40393e10i | −0.637445 | + | 1.62418i | ||||
\(806\) | 1.44159e9 | + | 6.31604e9i | 0.0969774 | + | 0.424886i | ||||
\(807\) | −1.61492e8 | − | 2.15497e9i | −0.0108167 | − | 0.144339i | ||||
\(808\) | 6.23063e8 | + | 1.92189e8i | 0.0415520 | + | 0.0128171i | ||||
\(809\) | 6.39669e8 | − | 3.08048e8i | 0.0424752 | − | 0.0204550i | −0.412526 | − | 0.910946i | \(-0.635353\pi\) |
0.455001 | + | 0.890491i | \(0.349639\pi\) | |||||||
\(810\) | 6.95647e9 | − | 1.20490e10i | 0.459929 | − | 0.796621i | ||||
\(811\) | 1.18200e10 | + | 2.04729e10i | 0.778119 | + | 1.34774i | 0.933025 | + | 0.359812i | \(0.117159\pi\) |
−0.154906 | + | 0.987929i | \(0.549508\pi\) | |||||||
\(812\) | −3.13410e10 | − | 2.13679e10i | −2.05431 | − | 1.40061i | ||||
\(813\) | −1.27643e9 | + | 5.59243e9i | −0.0833070 | + | 0.364992i | ||||
\(814\) | 1.83653e10 | + | 2.76812e9i | 1.19347 | + | 0.179887i | ||||
\(815\) | 2.33282e9 | + | 2.92527e9i | 0.150949 | + | 0.189284i | ||||
\(816\) | −3.63439e9 | −0.234162 | ||||||||
\(817\) | −4.36909e9 | + | 1.12428e10i | −0.280294 | + | 0.721272i | ||||
\(818\) | 3.39605e9 | 0.216939 | ||||||||
\(819\) | −3.41108e9 | − | 4.27735e9i | −0.216969 | − | 0.272071i | ||||
\(820\) | 8.79178e9 | + | 1.32515e9i | 0.556837 | + | 0.0839297i | ||||
\(821\) | 2.79843e9 | − | 1.22607e10i | 0.176487 | − | 0.773242i | −0.806747 | − | 0.590897i | \(-0.798774\pi\) |
0.983235 | − | 0.182345i | \(-0.0583688\pi\) | |||||||
\(822\) | −3.05057e9 | − | 2.07985e9i | −0.191571 | − | 0.130611i | ||||
\(823\) | 7.39107e9 | + | 1.28017e10i | 0.462176 | + | 0.800513i | 0.999069 | − | 0.0431376i | \(-0.0137354\pi\) |
−0.536893 | + | 0.843650i | \(0.680402\pi\) | |||||||
\(824\) | −1.58581e8 | + | 2.74670e8i | −0.00987429 | + | 0.0171028i | ||||
\(825\) | 1.03499e9 | − | 4.98427e8i | 0.0641725 | − | 0.0309039i | ||||
\(826\) | −1.10191e10 | − | 3.39893e9i | −0.680322 | − | 0.209851i | ||||
\(827\) | 1.89656e9 | + | 2.53078e10i | 0.116599 | + | 1.55591i | 0.682159 | + | 0.731203i | \(0.261041\pi\) |
−0.565560 | + | 0.824707i | \(0.691340\pi\) | |||||||
\(828\) | 4.18043e9 | + | 1.83157e10i | 0.255926 | + | 1.12129i | ||||
\(829\) | 4.18640e9 | − | 1.06668e10i | 0.255211 | − | 0.650267i | −0.744641 | − | 0.667465i | \(-0.767379\pi\) |
0.999852 | + | 0.0171980i | \(0.00547455\pi\) | |||||||
\(830\) | −1.27371e9 | + | 1.69965e10i | −0.0773212 | + | 1.03178i | ||||
\(831\) | 2.84064e9 | − | 4.28158e8i | 0.171717 | − | 0.0258822i | ||||
\(832\) | −2.32053e9 | − | 2.15314e9i | −0.139687 | − | 0.129611i | ||||
\(833\) | −3.05025e10 | − | 1.46892e10i | −1.82843 | − | 0.880526i | ||||
\(834\) | 5.58218e9 | − | 3.80587e9i | 0.333214 | − | 0.227181i | ||||
\(835\) | 5.57644e9 | + | 1.42085e10i | 0.331478 | + | 0.844592i | ||||
\(836\) | −9.42348e9 | + | 2.90676e9i | −0.557814 | + | 0.172063i | ||||
\(837\) | −8.35021e9 | + | 7.74786e9i | −0.492219 | + | 0.456712i | ||||
\(838\) | −8.13274e9 | + | 1.01981e10i | −0.477400 | + | 0.598641i | ||||
\(839\) | 9.26318e9 | − | 1.16157e10i | 0.541493 | − | 0.679011i | −0.433523 | − | 0.901142i | \(-0.642730\pi\) |
0.975017 | + | 0.222131i | \(0.0713013\pi\) | |||||||
\(840\) | 2.44026e8 | − | 2.26423e8i | 0.0142056 | − | 0.0131808i | ||||
\(841\) | 1.95582e10 | − | 6.03289e9i | 1.13381 | − | 0.349735i | ||||
\(842\) | 1.34621e9 | + | 3.43008e9i | 0.0777175 | + | 0.198021i | ||||
\(843\) | −4.65188e9 | + | 3.17160e9i | −0.267444 | + | 0.182340i | ||||
\(844\) | −1.50806e10 | − | 7.26244e9i | −0.863417 | − | 0.415800i | ||||
\(845\) | 9.60267e9 | + | 8.90997e9i | 0.547512 | + | 0.508017i | ||||
\(846\) | −1.54091e10 | + | 2.32255e9i | −0.874947 | + | 0.131877i | ||||
\(847\) | 8.77990e8 | − | 1.17160e10i | 0.0496475 | − | 0.662500i | ||||
\(848\) | −1.15949e10 | + | 2.95432e10i | −0.652950 | + | 1.66369i | ||||
\(849\) | 3.53081e8 | + | 1.54695e9i | 0.0198015 | + | 0.0867559i | ||||
\(850\) | 7.08382e8 | + | 9.45270e9i | 0.0395641 | + | 0.527946i | ||||
\(851\) | 2.38821e10 | + | 7.36666e9i | 1.32837 | + | 0.409748i | ||||
\(852\) | −1.86517e9 | + | 8.98220e8i | −0.103319 | + | 0.0497559i | ||||
\(853\) | −8.69687e9 | + | 1.50634e10i | −0.479779 | + | 0.831002i | −0.999731 | − | 0.0231935i | \(-0.992617\pi\) |
0.519952 | + | 0.854196i | \(0.325950\pi\) | |||||||
\(854\) | 1.56989e10 | + | 2.71912e10i | 0.862513 | + | 1.49392i | ||||
\(855\) | 8.63721e9 | + | 5.88875e9i | 0.472598 | + | 0.322212i | ||||
\(856\) | 4.54451e6 | − | 1.99108e7i | 0.000247645 | − | 0.00108500i | ||||
\(857\) | 1.44869e10 | + | 2.18354e9i | 0.786215 | + | 0.118503i | 0.529866 | − | 0.848082i | \(-0.322242\pi\) |
0.256349 | + | 0.966584i | \(0.417480\pi\) | |||||||
\(858\) | 6.16436e8 | + | 7.72987e8i | 0.0333183 | + | 0.0417798i | ||||
\(859\) | 1.42658e10 | 0.767930 | 0.383965 | − | 0.923348i | \(-0.374558\pi\) | ||||
0.383965 | + | 0.923348i | \(0.374558\pi\) | |||||||
\(860\) | 1.08785e9 | + | 1.38918e10i | 0.0583208 | + | 0.744754i | ||||
\(861\) | 5.74799e9 | 0.306906 | ||||||||
\(862\) | 8.39195e9 | + | 1.05232e10i | 0.446260 | + | 0.559592i | ||||
\(863\) | −4.71214e9 | − | 7.10241e8i | −0.249563 | − | 0.0376156i | 0.0230692 | − | 0.999734i | \(-0.492656\pi\) |
−0.272632 | + | 0.962118i | \(0.587894\pi\) | |||||||
\(864\) | 2.65468e9 | − | 1.16309e10i | 0.140028 | − | 0.613501i | ||||
\(865\) | −5.07748e9 | − | 3.46177e9i | −0.266742 | − | 0.181862i | ||||
\(866\) | −1.81037e10 | − | 3.13564e10i | −0.947226 | − | 1.64064i | ||||
\(867\) | 1.28395e8 | − | 2.22387e8i | 0.00669086 | − | 0.0115889i | ||||
\(868\) | −4.34810e10 | + | 2.09394e10i | −2.25674 | + | 1.08679i | ||||
\(869\) | −1.73579e10 | − | 5.35419e9i | −0.897278 | − | 0.276774i | ||||
\(870\) | −5.43025e8 | − | 7.24616e9i | −0.0279577 | − | 0.373070i | ||||
\(871\) | −7.78715e8 | − | 3.41177e9i | −0.0399314 | − | 0.174951i | ||||
\(872\) | −1.31303e8 | + | 3.34555e8i | −0.00670606 | + | 0.0170868i | ||||
\(873\) | 1.88659e8 | − | 2.51748e9i | 0.00959683 | − | 0.128061i | ||||
\(874\) | −2.68419e10 | + | 4.04577e9i | −1.35995 | + | 0.204980i | ||||
\(875\) | −2.77252e10 | − | 2.57252e10i | −1.39909 | − | 1.29817i | ||||
\(876\) | −6.76278e9 | − | 3.25678e9i | −0.339908 | − | 0.163691i | ||||
\(877\) | 4.24453e9 | − | 2.89387e9i | 0.212486 | − | 0.144871i | −0.452400 | − | 0.891815i | \(-0.649432\pi\) |
0.664887 | + | 0.746944i | \(0.268480\pi\) | |||||||
\(878\) | 1.27942e10 | + | 3.25991e10i | 0.637944 | + | 1.62545i | ||||
\(879\) | 5.13880e9 | − | 1.58511e9i | 0.255212 | − | 0.0787223i | ||||
\(880\) | 9.50981e9 | − | 8.82381e9i | 0.470416 | − | 0.436482i | ||||
\(881\) | 1.97718e10 | − | 2.47930e10i | 0.974160 | − | 1.22156i | −0.000987200 | − | 1.00000i | \(-0.500314\pi\) |
0.975147 | − | 0.221558i | \(-0.0711143\pi\) | |||||||
\(882\) | 3.51605e10 | − | 4.40899e10i | 1.72550 | − | 2.16371i | ||||
\(883\) | 1.87234e10 | − | 1.73728e10i | 0.915215 | − | 0.849196i | −0.0737599 | − | 0.997276i | \(-0.523500\pi\) |
0.988975 | + | 0.148080i | \(0.0473094\pi\) | |||||||
\(884\) | −3.81115e9 | + | 1.17558e9i | −0.185555 | + | 0.0572361i | ||||
\(885\) | −3.94535e8 | − | 1.00526e9i | −0.0191331 | − | 0.0487502i | ||||
\(886\) | −3.92006e10 | + | 2.67265e10i | −1.89354 | + | 1.29099i | ||||
\(887\) | 2.43231e10 | + | 1.17134e10i | 1.17027 | + | 0.563572i | 0.915062 | − | 0.403314i | \(-0.132142\pi\) |
0.255208 | + | 0.966886i | \(0.417856\pi\) | |||||||
\(888\) | −2.36165e8 | − | 2.19129e8i | −0.0113180 | − | 0.0105016i | ||||
\(889\) | −2.31968e10 | + | 3.49635e9i | −1.10731 | + | 0.166901i | ||||
\(890\) | 2.84078e9 | − | 3.79076e10i | 0.135074 | − | 1.80244i | ||||
\(891\) | 5.12276e9 | − | 1.30526e10i | 0.242623 | − | 0.618194i | ||||
\(892\) | −4.30435e9 | − | 1.88586e10i | −0.203063 | − | 0.889676i | ||||
\(893\) | −8.22589e8 | − | 1.09767e10i | −0.0386548 | − | 0.515812i | ||||
\(894\) | 5.00549e9 | + | 1.54399e9i | 0.234296 | + | 0.0722708i | ||||
\(895\) | −7.72935e9 | + | 3.72226e9i | −0.360381 | + | 0.173551i | ||||
\(896\) | −2.30458e9 | + | 3.99166e9i | −0.107032 | + | 0.185385i | ||||
\(897\) | 6.65216e8 | + | 1.15219e9i | 0.0307744 | + | 0.0533028i | ||||
\(898\) | −1.58029e10 | − | 1.07743e10i | −0.728233 | − | 0.496501i | ||||
\(899\) | 1.06781e10 | − | 4.67839e10i | 0.490158 | − | 2.14752i | ||||
\(900\) | −7.63278e9 | − | 1.15046e9i | −0.349007 | − | 0.0526043i | ||||
\(901\) | 2.27978e10 | + | 2.85876e10i | 1.03838 | + | 1.30209i | ||||
\(902\) | 1.83296e10 | 0.831629 | ||||||||
\(903\) | 2.03396e9 | + | 8.77575e9i | 0.0919252 | + | 0.396622i | ||||
\(904\) | −1.66721e9 | −0.0750586 | ||||||||
\(905\) | −1.24127e10 | − | 1.55651e10i | −0.556670 | − | 0.698042i | ||||
\(906\) | −4.51515e9 | − | 6.80550e8i | −0.201708 | − | 0.0304026i | ||||
\(907\) | 6.53786e8 | − | 2.86442e9i | 0.0290945 | − | 0.127471i | −0.958295 | − | 0.285780i | \(-0.907747\pi\) |
0.987390 | + | 0.158309i | \(0.0506043\pi\) | |||||||
\(908\) | 2.88268e10 | + | 1.96538e10i | 1.27790 | + | 0.871257i | ||||
\(909\) | 7.64599e9 | + | 1.32433e10i | 0.337645 | + | 0.584818i | ||||
\(910\) | 4.56606e9 | − | 7.90865e9i | 0.200862 | − | 0.347902i | ||||
\(911\) | −1.55609e10 | + | 7.49374e9i | −0.681900 | + | 0.328386i | −0.742566 | − | 0.669772i | \(-0.766392\pi\) |
0.0606666 | + | 0.998158i | \(0.480677\pi\) | |||||||
\(912\) | 4.08626e9 | + | 1.26045e9i | 0.178379 | + | 0.0550227i | ||||
\(913\) | 1.28369e9 | + | 1.71296e10i | 0.0558227 | + | 0.744903i | ||||
\(914\) | −1.07931e10 | − | 4.72878e10i | −0.467559 | − | 2.04851i | ||||
\(915\) | −1.07425e9 | + | 2.73713e9i | −0.0463585 | + | 0.118120i | ||||
\(916\) | −1.53270e9 | + | 2.04525e10i | −0.0658905 | + | 0.879248i | ||||
\(917\) | −3.39003e9 | + | 5.10964e8i | −0.145181 | + | 0.0218826i | ||||
\(918\) | −1.05154e10 | − | 9.75690e9i | −0.448619 | − | 0.416258i | ||||
\(919\) | −3.72226e10 | − | 1.79255e10i | −1.58199 | − | 0.761845i | −0.583260 | − | 0.812286i | \(-0.698223\pi\) |
−0.998727 | + | 0.0504413i | \(0.983937\pi\) | |||||||
\(920\) | 1.18026e9 | − | 8.04686e8i | 0.0499711 | − | 0.0340698i | ||||
\(921\) | −2.59873e9 | − | 6.62145e9i | −0.109610 | − | 0.279283i | ||||
\(922\) | 5.29907e9 | − | 1.63455e9i | 0.222660 | − | 0.0686814i | ||||
\(923\) | 1.89638e9 | − | 1.75959e9i | 0.0793817 | − | 0.0736555i | ||||
\(924\) | −4.59204e9 | + | 5.75824e9i | −0.191494 | + | 0.240125i | ||||
\(925\) | −6.40250e9 | + | 8.02848e9i | −0.265983 | + | 0.333532i | ||||
\(926\) | 4.88679e10 | − | 4.53428e10i | 2.02248 | − | 1.87659i | ||||
\(927\) | −7.10790e9 | + | 2.19250e9i | −0.293064 | + | 0.0903982i | ||||
\(928\) | 1.83612e10 | + | 4.67836e10i | 0.754194 | + | 1.92166i | ||||
\(929\) | −5.37975e9 | + | 3.66785e9i | −0.220144 | + | 0.150092i | −0.668371 | − | 0.743828i | \(-0.733008\pi\) |
0.448227 | + | 0.893920i | \(0.352056\pi\) | |||||||
\(930\) | −8.32946e9 | − | 4.01126e9i | −0.339568 | − | 0.163527i | ||||
\(931\) | 2.92006e10 | + | 2.70942e10i | 1.18595 | + | 1.10041i | ||||
\(932\) | 2.69213e9 | − | 4.05774e8i | 0.108928 | − | 0.0164183i | ||||
\(933\) | −4.75155e8 | + | 6.34050e9i | −0.0191536 | + | 0.255586i | ||||
\(934\) | 1.71578e10 | − | 4.37173e10i | 0.689045 | − | 1.75566i | ||||
\(935\) | −3.32586e9 | − | 1.45716e10i | −0.133065 | − | 0.582996i | ||||
\(936\) | 2.26151e7 | + | 3.01778e8i | 0.000901432 | + | 0.0120288i | ||||
\(937\) | 2.36600e10 | + | 7.29813e9i | 0.939562 | + | 0.289816i | 0.726456 | − | 0.687213i | \(-0.241166\pi\) |
0.213105 | + | 0.977029i | \(0.431642\pi\) | |||||||
\(938\) | 4.80447e10 | − | 2.31371e10i | 1.90080 | − | 0.915376i | ||||
\(939\) | −3.52705e9 | + | 6.10903e9i | −0.139022 | + | 0.240792i | ||||
\(940\) | −6.35807e9 | − | 1.10125e10i | −0.249677 | − | 0.432452i | ||||
\(941\) | −1.70844e10 | − | 1.16479e10i | −0.668398 | − | 0.455706i | 0.180983 | − | 0.983486i | \(-0.442072\pi\) |
−0.849381 | + | 0.527780i | \(0.823025\pi\) | |||||||
\(942\) | 4.98765e8 | − | 2.18523e9i | 0.0194410 | − | 0.0851765i | ||||
\(943\) | 2.43898e10 | + | 3.67617e9i | 0.947147 | + | 0.142759i | ||||
\(944\) | 4.86016e9 | + | 6.09445e9i | 0.188039 | + | 0.235794i | ||||
\(945\) | 1.60569e10 | 0.618943 | ||||||||
\(946\) | 6.48602e9 | + | 2.79847e10i | 0.249092 | + | 1.07474i | ||||
\(947\) | −6.49267e9 | −0.248427 | −0.124213 | − | 0.992256i | \(-0.539641\pi\) | ||||
−0.124213 | + | 0.992256i | \(0.539641\pi\) | |||||||
\(948\) | −4.31276e9 | − | 5.40803e9i | −0.164409 | − | 0.206163i | ||||
\(949\) | 9.27512e9 | + | 1.39800e9i | 0.352280 | + | 0.0530977i | ||||
\(950\) | 2.48184e9 | − | 1.08737e10i | 0.0939164 | − | 0.411474i | ||||
\(951\) | 2.57768e9 | + | 1.75743e9i | 0.0971845 | + | 0.0662593i | ||||
\(952\) | 1.38421e9 | + | 2.39752e9i | 0.0519963 | + | 0.0900602i | ||||
\(953\) | −2.27408e10 | + | 3.93883e10i | −0.851101 | + | 1.47415i | 0.0291145 | + | 0.999576i | \(0.490731\pi\) |
−0.880216 | + | 0.474574i | \(0.842602\pi\) | |||||||
\(954\) | −5.48749e10 | + | 2.64263e10i | −2.04623 | + | 0.985412i | ||||
\(955\) | 1.62048e10 | + | 4.99852e9i | 0.602049 | + | 0.185707i | ||||
\(956\) | −1.65839e9 | − | 2.21297e10i | −0.0613881 | − | 0.819167i | ||||
\(957\) | −1.62960e9 | − | 7.13976e9i | −0.0601022 | − | 0.263325i | ||||
\(958\) | −2.48576e10 | + | 6.33361e10i | −0.913439 | + | 2.32740i | ||||
\(959\) | −2.56845e9 | + | 3.42736e10i | −0.0940386 | + | 1.25486i | ||||
\(960\) | 4.46694e9 | − | 6.73282e8i | 0.162952 | − | 0.0245611i | ||||
\(961\) | −2.45869e10 | − | 2.28133e10i | −0.893659 | − | 0.829195i | ||||
\(962\) | −7.96271e9 | − | 3.83464e9i | −0.288369 | − | 0.138871i | ||||
\(963\) | 3.95747e8 | − | 2.69816e8i | 0.0142799 | − | 0.00973588i | ||||
\(964\) | 1.65325e10 | + | 4.21240e10i | 0.594385 | + | 1.51447i | ||||
\(965\) | 1.81802e10 | − | 5.60786e9i | 0.651259 | − | 0.200887i | ||||
\(966\) | −1.48613e10 | + | 1.37892e10i | −0.530439 | + | 0.492176i | ||||
\(967\) | −1.47137e10 | + | 1.84504e10i | −0.523274 | + | 0.656165i | −0.971301 | − | 0.237855i | \(-0.923556\pi\) |
0.448026 | + | 0.894020i | \(0.352127\pi\) | |||||||
\(968\) | −4.05195e8 | + | 5.08099e8i | −0.0143582 | + | 0.0180046i | ||||
\(969\) | 3.61155e9 | − | 3.35103e9i | 0.127515 | − | 0.118316i | ||||
\(970\) | 4.02676e9 | − | 1.24209e9i | 0.141662 | − | 0.0436971i | ||||
\(971\) | −1.24231e10 | − | 3.16535e10i | −0.435474 | − | 1.10957i | −0.965226 | − | 0.261418i | \(-0.915810\pi\) |
0.529752 | − | 0.848153i | \(-0.322285\pi\) | |||||||
\(972\) | 1.46100e10 | − | 9.96091e9i | 0.510290 | − | 0.347910i | ||||
\(973\) | −5.66641e10 | − | 2.72880e10i | −1.97203 | − | 0.949679i | ||||
\(974\) | 4.21071e10 | + | 3.90697e10i | 1.46015 | + | 1.35483i | ||||
\(975\) | −5.40537e8 | + | 8.14729e7i | −0.0186771 | + | 0.00281512i | ||||
\(976\) | 1.58611e9 | − | 2.11652e10i | 0.0546085 | − | 0.728699i | ||||
\(977\) | −9.08096e9 | + | 2.31379e10i | −0.311531 | + | 0.793768i | 0.686261 | + | 0.727355i | \(0.259251\pi\) |
−0.997792 | + | 0.0664126i | \(0.978845\pi\) | |||||||
\(978\) | 6.53604e8 | + | 2.86362e9i | 0.0223423 | + | 0.0978882i | ||||
\(979\) | −2.86302e9 | − | 3.82044e10i | −0.0975182 | − | 1.30129i | ||||
\(980\) | 4.39733e10 | + | 1.35640e10i | 1.49244 | + | 0.460357i | ||||
\(981\) | −7.59421e9 | + | 3.65718e9i | −0.256827 | + | 0.123682i | ||||
\(982\) | 2.79323e10 | − | 4.83802e10i | 0.941276 | − | 1.63034i | ||||
\(983\) | −1.07444e10 | − | 1.86099e10i | −0.360784 | − | 0.624896i | 0.627306 | − | 0.778773i | \(-0.284157\pi\) |
−0.988090 | + | 0.153877i | \(0.950824\pi\) | |||||||
\(984\) | −2.62702e8 | − | 1.79107e8i | −0.00878982 | − | 0.00599280i | ||||
\(985\) | 3.65868e9 | − | 1.60297e10i | 0.121983 | − | 0.534441i | ||||
\(986\) | 5.97553e10 | + | 9.00667e9i | 1.98521 | + | 0.299223i | ||||
\(987\) | −5.12561e9 | − | 6.42732e9i | −0.169682 | − | 0.212775i | ||||
\(988\) | 4.69270e9 | 0.154801 | ||||||||
\(989\) | 3.01786e9 | + | 3.85380e10i | 0.0992002 | + | 1.26678i | ||||
\(990\) | 2.48962e10 | 0.815474 | ||||||||
\(991\) | −4.33928e9 | − | 5.44129e9i | −0.141632 | − | 0.177600i | 0.705956 | − | 0.708255i | \(-0.250517\pi\) |
−0.847588 | + | 0.530655i | \(0.821946\pi\) | |||||||
\(992\) | 6.32278e10 | + | 9.53006e9i | 2.05645 | + | 0.309959i | ||||
\(993\) | −2.04480e9 | + | 8.95883e9i | −0.0662716 | + | 0.290355i | ||||
\(994\) | 3.25706e10 | + | 2.22063e10i | 1.05190 | + | 0.717171i | ||||
\(995\) | 1.43162e9 | + | 2.47963e9i | 0.0460729 | + | 0.0798007i | ||||
\(996\) | −3.27059e9 | + | 5.66483e9i | −0.104886 | + | 0.181668i | ||||
\(997\) | 6.78162e7 | − | 3.26586e7i | 0.00216721 | − | 0.00104367i | −0.432800 | − | 0.901490i | \(-0.642474\pi\) |
0.434967 | + | 0.900446i | \(0.356760\pi\) | |||||||
\(998\) | −6.30429e10 | − | 1.94462e10i | −2.00761 | − | 0.619265i | ||||
\(999\) | −1.16128e9 | − | 1.54962e10i | −0.0368517 | − | 0.491752i |
(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 | 43.8.g.a.9.5 | ✓ | 300 | |
43.24 | even | 21 | inner | 43.8.g.a.24.5 | yes | 300 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
43.8.g.a.9.5 | ✓ | 300 | 1.1 | even | 1 | trivial | |
43.8.g.a.24.5 | yes | 300 | 43.24 | even | 21 | inner |