Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [40,6,Mod(3,40)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(40, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([2, 2, 3]))
N = Newforms(chi, 6, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("40.3");
S:= CuspForms(chi, 6);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 40 = 2^{3} \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 6 \) |
Character orbit: | \([\chi]\) | \(=\) | 40.k (of order \(4\), 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: | \(6.41535279252\) |
Analytic rank: | \(0\) |
Dimension: | \(56\) |
Relative dimension: | \(28\) over \(\Q(i)\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 3.5 | ||
Character | \(\chi\) | \(=\) | 40.3 |
Dual form | 40.6.k.a.27.5 |
$q$-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 \(\left(\mathbb{Z}/40\mathbb{Z}\right)^\times\).
\(n\) | \(17\) | \(21\) | \(31\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(-1\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −4.60750 | − | 3.28191i | −0.814499 | − | 0.580166i | ||||
\(3\) | −7.52871 | − | 7.52871i | −0.482967 | − | 0.482967i | 0.423111 | − | 0.906078i | \(-0.360938\pi\) |
−0.906078 | + | 0.423111i | \(0.860938\pi\) | |||||||
\(4\) | 10.4581 | + | 30.2428i | 0.326816 | + | 0.945088i | ||||
\(5\) | 50.5551 | + | 23.8576i | 0.904357 | + | 0.426777i | ||||
\(6\) | 9.97997 | + | 59.3971i | 0.113175 | + | 0.673577i | ||||
\(7\) | 51.0903 | + | 51.0903i | 0.394088 | + | 0.394088i | 0.876142 | − | 0.482053i | \(-0.160109\pi\) |
−0.482053 | + | 0.876142i | \(0.660109\pi\) | |||||||
\(8\) | 51.0685 | − | 173.666i | 0.282116 | − | 0.959380i | ||||
\(9\) | − | 129.637i | − | 0.533486i | ||||||
\(10\) | −154.634 | − | 275.841i | −0.488996 | − | 0.872286i | ||||
\(11\) | −209.146 | −0.521157 | −0.260578 | − | 0.965453i | \(-0.583913\pi\) | ||||
−0.260578 | + | 0.965453i | \(0.583913\pi\) | |||||||
\(12\) | 148.953 | − | 306.425i | 0.298605 | − | 0.614288i | ||||
\(13\) | 528.819 | − | 528.819i | 0.867857 | − | 0.867857i | −0.124378 | − | 0.992235i | \(-0.539693\pi\) |
0.992235 | + | 0.124378i | \(0.0396934\pi\) | |||||||
\(14\) | −67.7247 | − | 403.073i | −0.0923480 | − | 0.549621i | ||||
\(15\) | −200.998 | − | 560.231i | −0.230655 | − | 0.642894i | ||||
\(16\) | −805.256 | + | 632.565i | −0.786383 | + | 0.617740i | ||||
\(17\) | 1178.43 | − | 1178.43i | 0.988963 | − | 0.988963i | −0.0109768 | − | 0.999940i | \(-0.503494\pi\) |
0.999940 | + | 0.0109768i | \(0.00349409\pi\) | |||||||
\(18\) | −425.457 | + | 597.303i | −0.309510 | + | 0.434523i | ||||
\(19\) | 386.096i | 0.245364i | 0.992446 | + | 0.122682i | \(0.0391496\pi\) | ||||
−0.992446 | + | 0.122682i | \(0.960850\pi\) | |||||||
\(20\) | −192.809 | + | 1778.43i | −0.107784 | + | 0.994174i | ||||
\(21\) | − | 769.289i | − | 0.380663i | ||||||
\(22\) | 963.642 | + | 686.400i | 0.424482 | + | 0.302357i | ||||
\(23\) | 2784.05 | − | 2784.05i | 1.09738 | − | 1.09738i | 0.102666 | − | 0.994716i | \(-0.467263\pi\) |
0.994716 | − | 0.102666i | \(-0.0327372\pi\) | |||||||
\(24\) | −1691.96 | + | 923.004i | −0.599602 | + | 0.327096i | ||||
\(25\) | 1986.63 | + | 2412.24i | 0.635723 | + | 0.771918i | ||||
\(26\) | −4172.07 | + | 700.996i | −1.21037 | + | 0.203368i | ||||
\(27\) | −2805.48 | + | 2805.48i | −0.740623 | + | 0.740623i | ||||
\(28\) | −1010.81 | + | 2079.42i | −0.243654 | + | 0.501243i | ||||
\(29\) | −162.172 | −0.0358081 | −0.0179041 | − | 0.999840i | \(-0.505699\pi\) | ||||
−0.0179041 | + | 0.999840i | \(0.505699\pi\) | |||||||
\(30\) | −912.532 | + | 3240.92i | −0.185116 | + | 0.657454i | ||||
\(31\) | − | 764.769i | − | 0.142931i | −0.997443 | − | 0.0714655i | \(-0.977232\pi\) | ||
0.997443 | − | 0.0714655i | \(-0.0227676\pi\) | |||||||
\(32\) | 5786.24 | − | 271.766i | 0.998899 | − | 0.0469159i | ||||
\(33\) | 1574.60 | + | 1574.60i | 0.251702 | + | 0.251702i | ||||
\(34\) | −9297.09 | + | 1562.11i | −1.37927 | + | 0.231747i | ||||
\(35\) | 1363.99 | + | 3801.77i | 0.188209 | + | 0.524585i | ||||
\(36\) | 3920.59 | − | 1355.76i | 0.504191 | − | 0.174352i | ||||
\(37\) | 1723.18 | + | 1723.18i | 0.206932 | + | 0.206932i | 0.802962 | − | 0.596030i | \(-0.203256\pi\) |
−0.596030 | + | 0.802962i | \(0.703256\pi\) | |||||||
\(38\) | 1267.13 | − | 1778.94i | 0.142352 | − | 0.199849i | ||||
\(39\) | −7962.64 | −0.838293 | ||||||||
\(40\) | 6725.03 | − | 7561.35i | 0.664575 | − | 0.747221i | ||||
\(41\) | 13822.2 | 1.28415 | 0.642077 | − | 0.766640i | \(-0.278073\pi\) | ||||
0.642077 | + | 0.766640i | \(0.278073\pi\) | |||||||
\(42\) | −2524.74 | + | 3544.50i | −0.220848 | + | 0.310050i | ||||
\(43\) | −13834.7 | − | 13834.7i | −1.14103 | − | 1.14103i | −0.988262 | − | 0.152768i | \(-0.951181\pi\) |
−0.152768 | − | 0.988262i | \(-0.548819\pi\) | |||||||
\(44\) | −2187.28 | − | 6325.17i | −0.170322 | − | 0.492539i | ||||
\(45\) | 3092.82 | − | 6553.81i | 0.227680 | − | 0.482462i | ||||
\(46\) | −21964.5 | + | 3690.51i | −1.53048 | + | 0.257153i | ||||
\(47\) | 8464.74 | + | 8464.74i | 0.558945 | + | 0.558945i | 0.929007 | − | 0.370062i | \(-0.120664\pi\) |
−0.370062 | + | 0.929007i | \(0.620664\pi\) | |||||||
\(48\) | 10824.9 | + | 1300.14i | 0.678145 | + | 0.0814491i | ||||
\(49\) | − | 11586.6i | − | 0.689389i | ||||||
\(50\) | −1236.64 | − | 17634.4i | −0.0699552 | − | 0.997550i | ||||
\(51\) | −17744.1 | −0.955273 | ||||||||
\(52\) | 21523.4 | + | 10462.5i | 1.10383 | + | 0.536572i | ||||
\(53\) | −3998.09 | + | 3998.09i | −0.195507 | + | 0.195507i | −0.798071 | − | 0.602564i | \(-0.794146\pi\) |
0.602564 | + | 0.798071i | \(0.294146\pi\) | |||||||
\(54\) | 22133.6 | − | 3718.91i | 1.03292 | − | 0.173552i | ||||
\(55\) | −10573.4 | − | 4989.72i | −0.471312 | − | 0.222418i | ||||
\(56\) | 11481.8 | − | 6263.57i | 0.489260 | − | 0.266902i | ||||
\(57\) | 2906.81 | − | 2906.81i | 0.118503 | − | 0.118503i | ||||
\(58\) | 747.209 | + | 532.235i | 0.0291657 | + | 0.0207747i | ||||
\(59\) | 1240.72i | 0.0464027i | 0.999731 | + | 0.0232013i | \(0.00738588\pi\) | ||||
−0.999731 | + | 0.0232013i | \(0.992614\pi\) | |||||||
\(60\) | 14840.9 | − | 11937.7i | 0.532209 | − | 0.428097i | ||||
\(61\) | 50507.3i | 1.73792i | 0.494884 | + | 0.868959i | \(0.335211\pi\) | ||||
−0.494884 | + | 0.868959i | \(0.664789\pi\) | |||||||
\(62\) | −2509.91 | + | 3523.68i | −0.0829236 | + | 0.116417i | ||||
\(63\) | 6623.20 | − | 6623.20i | 0.210241 | − | 0.210241i | ||||
\(64\) | −27552.0 | − | 17737.8i | −0.840821 | − | 0.541314i | ||||
\(65\) | 39350.8 | − | 14118.1i | 1.15523 | − | 0.414471i | ||||
\(66\) | −2087.27 | − | 12422.7i | −0.0589820 | − | 0.351039i | ||||
\(67\) | −47228.8 | + | 47228.8i | −1.28535 | + | 1.28535i | −0.347763 | + | 0.937583i | \(0.613058\pi\) |
−0.937583 | + | 0.347763i | \(0.886942\pi\) | |||||||
\(68\) | 47963.0 | + | 23314.8i | 1.25787 | + | 0.611448i | ||||
\(69\) | −41920.6 | −1.06000 | ||||||||
\(70\) | 6192.50 | − | 21993.1i | 0.151050 | − | 0.536466i | ||||
\(71\) | 26226.6i | 0.617443i | 0.951153 | + | 0.308721i | \(0.0999010\pi\) | ||||
−0.951153 | + | 0.308721i | \(0.900099\pi\) | |||||||
\(72\) | −22513.6 | − | 6620.37i | −0.511816 | − | 0.150505i | ||||
\(73\) | −13699.8 | − | 13699.8i | −0.300889 | − | 0.300889i | 0.540473 | − | 0.841362i | \(-0.318245\pi\) |
−0.841362 | + | 0.540473i | \(0.818245\pi\) | |||||||
\(74\) | −2284.23 | − | 13594.9i | −0.0484909 | − | 0.288600i | ||||
\(75\) | 3204.29 | − | 33117.9i | 0.0657777 | − | 0.679844i | ||||
\(76\) | −11676.6 | + | 4037.84i | −0.231891 | + | 0.0801890i | ||||
\(77\) | −10685.4 | − | 10685.4i | −0.205382 | − | 0.205382i | ||||
\(78\) | 36687.9 | + | 26132.7i | 0.682788 | + | 0.486349i | ||||
\(79\) | −41902.4 | −0.755390 | −0.377695 | − | 0.925930i | \(-0.623283\pi\) | ||||
−0.377695 | + | 0.925930i | \(0.623283\pi\) | |||||||
\(80\) | −55801.2 | + | 12767.9i | −0.974808 | + | 0.223047i | ||||
\(81\) | 10741.4 | 0.181907 | ||||||||
\(82\) | −63685.8 | − | 45363.2i | −1.04594 | − | 0.745022i | ||||
\(83\) | 20497.1 | + | 20497.1i | 0.326586 | + | 0.326586i | 0.851287 | − | 0.524701i | \(-0.175823\pi\) |
−0.524701 | + | 0.851287i | \(0.675823\pi\) | |||||||
\(84\) | 23265.5 | − | 8045.31i | 0.359760 | − | 0.124407i | ||||
\(85\) | 87689.8 | − | 31461.1i | 1.31644 | − | 0.472309i | ||||
\(86\) | 18339.0 | + | 109147.i | 0.267381 | + | 1.59135i | ||||
\(87\) | 1220.95 | + | 1220.95i | 0.0172942 | + | 0.0172942i | ||||
\(88\) | −10680.8 | + | 36321.7i | −0.147027 | + | 0.499988i | ||||
\(89\) | 64749.3i | 0.866483i | 0.901278 | + | 0.433241i | \(0.142630\pi\) | ||||
−0.901278 | + | 0.433241i | \(0.857370\pi\) | |||||||
\(90\) | −35759.2 | + | 20046.3i | −0.465352 | + | 0.260872i | ||||
\(91\) | 54035.1 | 0.684025 | ||||||||
\(92\) | 113313. | + | 55081.6i | 1.39576 | + | 0.678480i | ||||
\(93\) | −5757.73 | + | 5757.73i | −0.0690309 | + | 0.0690309i | ||||
\(94\) | −11220.8 | − | 66781.8i | −0.130979 | − | 0.779540i | ||||
\(95\) | −9211.32 | + | 19519.1i | −0.104716 | + | 0.221897i | ||||
\(96\) | −45609.0 | − | 41516.9i | −0.505094 | − | 0.459776i | ||||
\(97\) | −83188.7 | + | 83188.7i | −0.897708 | + | 0.897708i | −0.995233 | − | 0.0975250i | \(-0.968907\pi\) |
0.0975250 | + | 0.995233i | \(0.468907\pi\) | |||||||
\(98\) | −38026.0 | + | 53385.0i | −0.399959 | + | 0.561506i | ||||
\(99\) | 27113.1i | 0.278030i | ||||||||
\(100\) | −52176.6 | + | 85308.9i | −0.521766 | + | 0.853089i | ||||
\(101\) | − | 125685.i | − | 1.22597i | −0.790096 | − | 0.612984i | \(-0.789969\pi\) | ||
0.790096 | − | 0.612984i | \(-0.210031\pi\) | |||||||
\(102\) | 81755.7 | + | 58234.4i | 0.778068 | + | 0.554216i | ||||
\(103\) | 125285. | − | 125285.i | 1.16361 | − | 1.16361i | 0.179926 | − | 0.983680i | \(-0.442414\pi\) |
0.983680 | − | 0.179926i | \(-0.0575858\pi\) | |||||||
\(104\) | −64832.0 | − | 118844.i | −0.587768 | − | 1.07744i | ||||
\(105\) | 18353.4 | − | 38891.5i | 0.162458 | − | 0.344256i | ||||
\(106\) | 31542.6 | − | 5299.82i | 0.272667 | − | 0.0458138i | ||||
\(107\) | 103805. | − | 103805.i | 0.876512 | − | 0.876512i | −0.116660 | − | 0.993172i | \(-0.537219\pi\) |
0.993172 | + | 0.116660i | \(0.0372187\pi\) | |||||||
\(108\) | −114185. | − | 55505.5i | −0.942001 | − | 0.457907i | ||||
\(109\) | 39926.6 | 0.321881 | 0.160941 | − | 0.986964i | \(-0.448547\pi\) | ||||
0.160941 | + | 0.986964i | \(0.448547\pi\) | |||||||
\(110\) | 32341.2 | + | 57691.1i | 0.254844 | + | 0.454598i | ||||
\(111\) | − | 25946.7i | − | 0.199882i | ||||||
\(112\) | −73458.8 | − | 8822.82i | −0.553348 | − | 0.0664603i | ||||
\(113\) | −139038. | − | 139038.i | −1.02432 | − | 1.02432i | −0.999697 | − | 0.0246238i | \(-0.992161\pi\) |
−0.0246238 | − | 0.999697i | \(-0.507839\pi\) | |||||||
\(114\) | −22933.0 | + | 3853.23i | −0.165272 | + | 0.0277692i | ||||
\(115\) | 207169. | − | 74327.3i | 1.46076 | − | 0.524087i | ||||
\(116\) | −1696.02 | − | 4904.55i | −0.0117027 | − | 0.0338418i | ||||
\(117\) | −68554.5 | − | 68554.5i | −0.462990 | − | 0.462990i | ||||
\(118\) | 4071.93 | − | 5716.61i | 0.0269212 | − | 0.0377949i | ||||
\(119\) | 120412. | 0.779478 | ||||||||
\(120\) | −107558. | + | 6296.39i | −0.681851 | + | 0.0399152i | ||||
\(121\) | −117309. | −0.728395 | ||||||||
\(122\) | 165760. | − | 232712.i | 1.00828 | − | 1.41553i | ||||
\(123\) | −104063. | − | 104063.i | −0.620204 | − | 0.620204i | ||||
\(124\) | 23128.8 | − | 7998.04i | 0.135082 | − | 0.0467121i | ||||
\(125\) | 42884.2 | + | 169347.i | 0.245483 | + | 0.969401i | ||||
\(126\) | −52253.2 | + | 8779.64i | −0.293215 | + | 0.0492663i | ||||
\(127\) | 16619.7 | + | 16619.7i | 0.0914356 | + | 0.0914356i | 0.751345 | − | 0.659910i | \(-0.229405\pi\) |
−0.659910 | + | 0.751345i | \(0.729405\pi\) | |||||||
\(128\) | 68732.1 | + | 172150.i | 0.370796 | + | 0.928714i | ||||
\(129\) | 208314.i | 1.10216i | ||||||||
\(130\) | −227643. | − | 64096.5i | −1.18140 | − | 0.332641i | ||||
\(131\) | 155820. | 0.793314 | 0.396657 | − | 0.917967i | \(-0.370170\pi\) | ||||
0.396657 | + | 0.917967i | \(0.370170\pi\) | |||||||
\(132\) | −31153.0 | + | 64087.8i | −0.155620 | + | 0.320140i | ||||
\(133\) | −19725.8 | + | 19725.8i | −0.0966953 | + | 0.0966953i | ||||
\(134\) | 372607. | − | 62605.9i | 1.79262 | − | 0.301199i | ||||
\(135\) | −208763. | + | 74899.3i | −0.985868 | + | 0.353707i | ||||
\(136\) | −144472. | − | 264833.i | −0.669789 | − | 1.22779i | ||||
\(137\) | −41457.8 | + | 41457.8i | −0.188714 | + | 0.188714i | −0.795140 | − | 0.606426i | \(-0.792603\pi\) |
0.606426 | + | 0.795140i | \(0.292603\pi\) | |||||||
\(138\) | 193149. | + | 137580.i | 0.863367 | + | 0.614974i | ||||
\(139\) | 351852.i | 1.54462i | 0.635244 | + | 0.772312i | \(0.280900\pi\) | ||||
−0.635244 | + | 0.772312i | \(0.719100\pi\) | |||||||
\(140\) | −100711. | + | 81010.1i | −0.434269 | + | 0.349316i | ||||
\(141\) | − | 127457.i | − | 0.539904i | ||||||
\(142\) | 86073.5 | − | 120839.i | 0.358219 | − | 0.502906i | ||||
\(143\) | −110600. | + | 110600.i | −0.452290 | + | 0.452290i | ||||
\(144\) | 82003.9 | + | 104391.i | 0.329555 | + | 0.419524i | ||||
\(145\) | −8198.64 | − | 3869.04i | −0.0323833 | − | 0.0152821i | ||||
\(146\) | 18160.3 | + | 108083.i | 0.0705083 | + | 0.419639i | ||||
\(147\) | −87231.8 | + | 87231.8i | −0.332952 | + | 0.332952i | ||||
\(148\) | −34092.7 | + | 70135.1i | −0.127940 | + | 0.263197i | ||||
\(149\) | −168103. | −0.620312 | −0.310156 | − | 0.950686i | \(-0.600381\pi\) | ||||
−0.310156 | + | 0.950686i | \(0.600381\pi\) | |||||||
\(150\) | −123454. | + | 142074.i | −0.447998 | + | 0.515570i | ||||
\(151\) | 327727.i | 1.16969i | 0.811146 | + | 0.584844i | \(0.198844\pi\) | ||||
−0.811146 | + | 0.584844i | \(0.801156\pi\) | |||||||
\(152\) | 67051.9 | + | 19717.4i | 0.235398 | + | 0.0692213i | ||||
\(153\) | −152768. | − | 152768.i | −0.527598 | − | 0.527598i | ||||
\(154\) | 14164.4 | + | 84301.2i | 0.0481278 | + | 0.286439i | ||||
\(155\) | 18245.5 | − | 38663.0i | 0.0609997 | − | 0.129261i | ||||
\(156\) | −83274.2 | − | 240813.i | −0.273967 | − | 0.792261i | ||||
\(157\) | 143534. | + | 143534.i | 0.464735 | + | 0.464735i | 0.900204 | − | 0.435469i | \(-0.143417\pi\) |
−0.435469 | + | 0.900204i | \(0.643417\pi\) | |||||||
\(158\) | 193065. | + | 137520.i | 0.615264 | + | 0.438251i | ||||
\(159\) | 60200.9 | 0.188847 | ||||||||
\(160\) | 299008. | + | 124306.i | 0.923384 | + | 0.383878i | ||||
\(161\) | 284476. | 0.864931 | ||||||||
\(162\) | −49491.2 | − | 35252.4i | −0.148163 | − | 0.105536i | ||||
\(163\) | −186517. | − | 186517.i | −0.549855 | − | 0.549855i | 0.376544 | − | 0.926399i | \(-0.377113\pi\) |
−0.926399 | + | 0.376544i | \(0.877113\pi\) | |||||||
\(164\) | 144554. | + | 418022.i | 0.419682 | + | 1.21364i | ||||
\(165\) | 42038.0 | + | 117170.i | 0.120208 | + | 0.335049i | ||||
\(166\) | −27170.7 | − | 161710.i | −0.0765299 | − | 0.455477i | ||||
\(167\) | −433646. | − | 433646.i | −1.20322 | − | 1.20322i | −0.973182 | − | 0.230036i | \(-0.926116\pi\) |
−0.230036 | − | 0.973182i | \(-0.573884\pi\) | |||||||
\(168\) | −133600. | − | 39286.4i | −0.365201 | − | 0.107391i | ||||
\(169\) | − | 188005.i | − | 0.506353i | ||||||
\(170\) | −507283. | − | 142833.i | −1.34626 | − | 0.379060i | ||||
\(171\) | 50052.4 | 0.130898 | ||||||||
\(172\) | 273715. | − | 563083.i | 0.705467 | − | 1.45128i | ||||
\(173\) | −302751. | + | 302751.i | −0.769077 | + | 0.769077i | −0.977944 | − | 0.208867i | \(-0.933022\pi\) |
0.208867 | + | 0.977944i | \(0.433022\pi\) | |||||||
\(174\) | −1618.47 | − | 9632.57i | −0.00405259 | − | 0.0241195i | ||||
\(175\) | −21744.5 | + | 224740.i | −0.0536729 | + | 0.554735i | ||||
\(176\) | 168416. | − | 132299.i | 0.409829 | − | 0.321939i | ||||
\(177\) | 9341.01 | − | 9341.01i | 0.0224110 | − | 0.0224110i | ||||
\(178\) | 212501. | − | 298332.i | 0.502704 | − | 0.705749i | ||||
\(179\) | − | 262028.i | − | 0.611245i | −0.952153 | − | 0.305623i | \(-0.901135\pi\) | ||
0.952153 | − | 0.305623i | \(-0.0988646\pi\) | |||||||
\(180\) | 230551. | + | 24995.2i | 0.530378 | + | 0.0575011i | ||||
\(181\) | − | 323424.i | − | 0.733798i | −0.930261 | − | 0.366899i | \(-0.880419\pi\) | ||
0.930261 | − | 0.366899i | \(-0.119581\pi\) | |||||||
\(182\) | −248967. | − | 177338.i | −0.557138 | − | 0.396848i | ||||
\(183\) | 380255. | − | 380255.i | 0.839357 | − | 0.839357i | ||||
\(184\) | −341319. | − | 625674.i | −0.743217 | − | 1.36240i | ||||
\(185\) | 46004.7 | + | 128227.i | 0.0988264 | + | 0.275454i | ||||
\(186\) | 45425.1 | − | 7632.37i | 0.0962750 | − | 0.0161762i | ||||
\(187\) | −246463. | + | 246463.i | −0.515405 | + | 0.515405i | ||||
\(188\) | −167472. | + | 344523.i | −0.345580 | + | 0.710924i | ||||
\(189\) | −286666. | −0.583742 | ||||||||
\(190\) | 106501. | − | 59703.7i | 0.214028 | − | 0.119982i | ||||
\(191\) | 672294.i | 1.33345i | 0.745305 | + | 0.666724i | \(0.232304\pi\) | ||||
−0.745305 | + | 0.666724i | \(0.767696\pi\) | |||||||
\(192\) | 73888.6 | + | 340974.i | 0.144652 | + | 0.667525i | ||||
\(193\) | −25987.0 | − | 25987.0i | −0.0502185 | − | 0.0502185i | 0.681552 | − | 0.731770i | \(-0.261306\pi\) |
−0.731770 | + | 0.681552i | \(0.761306\pi\) | |||||||
\(194\) | 656310. | − | 110274.i | 1.25200 | − | 0.210363i | ||||
\(195\) | −402552. | − | 189969.i | −0.758116 | − | 0.357764i | ||||
\(196\) | 350410. | − | 121173.i | 0.651533 | − | 0.225303i | ||||
\(197\) | 223666. | + | 223666.i | 0.410614 | + | 0.410614i | 0.881952 | − | 0.471338i | \(-0.156229\pi\) |
−0.471338 | + | 0.881952i | \(0.656229\pi\) | |||||||
\(198\) | 88982.8 | − | 124924.i | 0.161303 | − | 0.226455i | ||||
\(199\) | 969198. | 1.73492 | 0.867460 | − | 0.497506i | \(-0.165751\pi\) | ||||
0.867460 | + | 0.497506i | \(0.165751\pi\) | |||||||
\(200\) | 520380. | − | 221822.i | 0.919910 | − | 0.392129i | ||||
\(201\) | 711144. | 1.24156 | ||||||||
\(202\) | −412486. | + | 579092.i | −0.711264 | + | 0.998549i | ||||
\(203\) | −8285.44 | − | 8285.44i | −0.0141116 | − | 0.0141116i | ||||
\(204\) | −185569. | − | 536630.i | −0.312198 | − | 0.902817i | ||||
\(205\) | 698782. | + | 329764.i | 1.16133 | + | 0.548048i | ||||
\(206\) | −988425. | + | 166076.i | −1.62284 | + | 0.272671i | ||||
\(207\) | −360916. | − | 360916.i | −0.585438 | − | 0.585438i | ||||
\(208\) | −91322.0 | + | 760347.i | −0.146358 | + | 1.21858i | ||||
\(209\) | − | 80750.6i | − | 0.127873i | ||||||
\(210\) | −212201. | + | 118958.i | −0.332047 | + | 0.186143i | ||||
\(211\) | −495120. | −0.765604 | −0.382802 | − | 0.923830i | \(-0.625041\pi\) | ||||
−0.382802 | + | 0.923830i | \(0.625041\pi\) | |||||||
\(212\) | −162726. | − | 79101.0i | −0.248666 | − | 0.120877i | ||||
\(213\) | 197453. | − | 197453.i | 0.298204 | − | 0.298204i | ||||
\(214\) | −818959. | + | 137602.i | −1.22244 | + | 0.205396i | ||||
\(215\) | −369351. | − | 1.02947e6i | −0.544933 | − | 1.51886i | ||||
\(216\) | 343945. | + | 630488.i | 0.501597 | + | 0.919481i | ||||
\(217\) | 39072.3 | − | 39072.3i | 0.0563274 | − | 0.0563274i | ||||
\(218\) | −183962. | − | 131035.i | −0.262172 | − | 0.186744i | ||||
\(219\) | 206283.i | 0.290639i | ||||||||
\(220\) | 40325.4 | − | 371953.i | 0.0561722 | − | 0.518121i | ||||
\(221\) | − | 1.24635e6i | − | 1.71656i | ||||||
\(222\) | −85154.7 | + | 119549.i | −0.115965 | + | 0.162804i | ||||
\(223\) | −5174.56 | + | 5174.56i | −0.00696804 | + | 0.00696804i | −0.710582 | − | 0.703614i | \(-0.751568\pi\) |
0.703614 | + | 0.710582i | \(0.251568\pi\) | |||||||
\(224\) | 309506. | + | 281736.i | 0.412144 | + | 0.375166i | ||||
\(225\) | 312716. | − | 257541.i | 0.411807 | − | 0.339149i | ||||
\(226\) | 184306. | + | 1.09692e6i | 0.240032 | + | 1.42858i | ||||
\(227\) | 96110.1 | − | 96110.1i | 0.123795 | − | 0.123795i | −0.642495 | − | 0.766290i | \(-0.722101\pi\) |
0.766290 | + | 0.642495i | \(0.222101\pi\) | |||||||
\(228\) | 118310. | + | 57510.3i | 0.150724 | + | 0.0732671i | ||||
\(229\) | −521668. | −0.657363 | −0.328682 | − | 0.944441i | \(-0.606604\pi\) | ||||
−0.328682 | + | 0.944441i | \(0.606604\pi\) | |||||||
\(230\) | −1.19847e6 | − | 337446.i | −1.49385 | − | 0.420615i | ||||
\(231\) | 160894.i | 0.198385i | ||||||||
\(232\) | −8281.90 | + | 28163.9i | −0.0101021 | + | 0.0343536i | ||||
\(233\) | 884493. | + | 884493.i | 1.06734 | + | 1.06734i | 0.997562 | + | 0.0697820i | \(0.0222304\pi\) |
0.0697820 | + | 0.997562i | \(0.477770\pi\) | |||||||
\(234\) | 90875.0 | + | 540855.i | 0.108494 | + | 0.645715i | ||||
\(235\) | 225988. | + | 629884.i | 0.266941 | + | 0.744031i | ||||
\(236\) | −37522.8 | + | 12975.6i | −0.0438546 | + | 0.0151651i | ||||
\(237\) | 315471. | + | 315471.i | 0.364829 | + | 0.364829i | ||||
\(238\) | −554800. | − | 395183.i | −0.634884 | − | 0.452226i | ||||
\(239\) | −258110. | −0.292287 | −0.146144 | − | 0.989263i | \(-0.546686\pi\) | ||||
−0.146144 | + | 0.989263i | \(0.546686\pi\) | |||||||
\(240\) | 516238. | + | 323985.i | 0.578524 | + | 0.363076i | ||||
\(241\) | 297510. | 0.329958 | 0.164979 | − | 0.986297i | \(-0.447244\pi\) | ||||
0.164979 | + | 0.986297i | \(0.447244\pi\) | |||||||
\(242\) | 540500. | + | 384997.i | 0.593277 | + | 0.422590i | ||||
\(243\) | 600862. | + | 600862.i | 0.652768 | + | 0.652768i | ||||
\(244\) | −1.52748e6 | + | 528211.i | −1.64249 | + | 0.567979i | ||||
\(245\) | 276427. | − | 585759.i | 0.294215 | − | 0.623453i | ||||
\(246\) | 137945. | + | 820998.i | 0.145334 | + | 0.864977i | ||||
\(247\) | 204175. | + | 204175.i | 0.212941 | + | 0.212941i | ||||
\(248\) | −132815. | − | 39055.6i | −0.137125 | − | 0.0403232i | ||||
\(249\) | − | 308634.i | − | 0.315460i | ||||||
\(250\) | 358194. | − | 921010.i | 0.362467 | − | 0.931997i | ||||
\(251\) | −1.73836e6 | −1.74162 | −0.870812 | − | 0.491617i | \(-0.836406\pi\) | ||||
−0.870812 | + | 0.491617i | \(0.836406\pi\) | |||||||
\(252\) | 269570. | + | 131038.i | 0.267406 | + | 0.129986i | ||||
\(253\) | −582274. | + | 582274.i | −0.571908 | + | 0.571908i | ||||
\(254\) | −22030.9 | − | 131120.i | −0.0214264 | − | 0.127522i | ||||
\(255\) | −897052. | − | 423330.i | −0.863908 | − | 0.407689i | ||||
\(256\) | 248298. | − | 1.01875e6i | 0.236796 | − | 0.971560i | ||||
\(257\) | 217479. | − | 217479.i | 0.205392 | − | 0.205392i | −0.596913 | − | 0.802306i | \(-0.703606\pi\) |
0.802306 | + | 0.596913i | \(0.203606\pi\) | |||||||
\(258\) | 683669. | − | 959808.i | 0.639435 | − | 0.897708i | ||||
\(259\) | 176076.i | 0.163099i | ||||||||
\(260\) | 838507. | + | 1.04243e6i | 0.769261 | + | 0.956343i | ||||
\(261\) | 21023.5i | 0.0191031i | ||||||||
\(262\) | −717941. | − | 511388.i | −0.646153 | − | 0.460254i | ||||
\(263\) | 1.05381e6 | − | 1.05381e6i | 0.939446 | − | 0.939446i | −0.0588228 | − | 0.998268i | \(-0.518735\pi\) |
0.998268 | + | 0.0588228i | \(0.0187347\pi\) | |||||||
\(264\) | 353868. | − | 193043.i | 0.312487 | − | 0.170468i | ||||
\(265\) | −297508. | + | 106739.i | −0.260246 | + | 0.0933703i | ||||
\(266\) | 155625. | − | 26148.3i | 0.134857 | − | 0.0226589i | ||||
\(267\) | 487479. | − | 487479.i | 0.418483 | − | 0.418483i | ||||
\(268\) | −1.92226e6 | − | 934408.i | −1.63484 | − | 0.794693i | ||||
\(269\) | −584734. | −0.492695 | −0.246347 | − | 0.969182i | \(-0.579230\pi\) | ||||
−0.246347 | + | 0.969182i | \(0.579230\pi\) | |||||||
\(270\) | 1.20769e6 | + | 340043.i | 1.00820 | + | 0.283873i | ||||
\(271\) | 2.15271e6i | 1.78059i | 0.455389 | + | 0.890293i | \(0.349500\pi\) | ||||
−0.455389 | + | 0.890293i | \(0.650500\pi\) | |||||||
\(272\) | −203503. | + | 1.69437e6i | −0.166782 | + | 1.38862i | ||||
\(273\) | −406814. | − | 406814.i | −0.330362 | − | 0.330362i | ||||
\(274\) | 327078. | − | 54956.0i | 0.263193 | − | 0.0442220i | ||||
\(275\) | −415497. | − | 504512.i | −0.331311 | − | 0.402290i | ||||
\(276\) | −438411. | − | 1.26780e6i | −0.346424 | − | 1.00179i | ||||
\(277\) | 1.45027e6 | + | 1.45027e6i | 1.13566 | + | 1.13566i | 0.989219 | + | 0.146441i | \(0.0467818\pi\) |
0.146441 | + | 0.989219i | \(0.453218\pi\) | |||||||
\(278\) | 1.15475e6 | − | 1.62116e6i | 0.896137 | − | 1.25809i | ||||
\(279\) | −99142.5 | −0.0762516 | ||||||||
\(280\) | 729896. | − | 42727.7i | 0.556373 | − | 0.0325698i | ||||
\(281\) | −2.60522e6 | −1.96825 | −0.984123 | − | 0.177487i | \(-0.943203\pi\) | ||||
−0.984123 | + | 0.177487i | \(0.943203\pi\) | |||||||
\(282\) | −418303. | + | 587259.i | −0.313234 | + | 0.439751i | ||||
\(283\) | 873350. | + | 873350.i | 0.648220 | + | 0.648220i | 0.952563 | − | 0.304343i | \(-0.0984368\pi\) |
−0.304343 | + | 0.952563i | \(0.598437\pi\) | |||||||
\(284\) | −793167. | + | 274281.i | −0.583538 | + | 0.201790i | ||||
\(285\) | 216303. | − | 77604.5i | 0.157743 | − | 0.0565946i | ||||
\(286\) | 872573. | − | 146611.i | 0.630793 | − | 0.105986i | ||||
\(287\) | 706181. | + | 706181.i | 0.506071 | + | 0.506071i | ||||
\(288\) | −35230.9 | − | 750111.i | −0.0250290 | − | 0.532898i | ||||
\(289\) | − | 1.35752e6i | − | 0.956096i | ||||||
\(290\) | 25077.4 | + | 44733.8i | 0.0175100 | + | 0.0312349i | ||||
\(291\) | 1.25261e6 | 0.867127 | ||||||||
\(292\) | 271046. | − | 557594.i | 0.186031 | − | 0.382702i | ||||
\(293\) | −1.34847e6 | + | 1.34847e6i | −0.917640 | + | 0.917640i | −0.996857 | − | 0.0792171i | \(-0.974758\pi\) |
0.0792171 | + | 0.996857i | \(0.474758\pi\) | |||||||
\(294\) | 688208. | − | 115633.i | 0.464356 | − | 0.0780216i | ||||
\(295\) | −29600.5 | + | 62724.6i | −0.0198036 | + | 0.0419646i | ||||
\(296\) | 387259. | − | 211259.i | 0.256905 | − | 0.140147i | ||||
\(297\) | 586755. | − | 586755.i | 0.385981 | − | 0.385981i | ||||
\(298\) | 774536. | + | 551700.i | 0.505244 | + | 0.359884i | ||||
\(299\) | − | 2.94452e6i | − | 1.90474i | ||||||
\(300\) | 1.03509e6 | − | 249443.i | 0.664009 | − | 0.160018i | ||||
\(301\) | − | 1.41363e6i | − | 0.899334i | ||||||
\(302\) | 1.07557e6 | − | 1.51000e6i | 0.678613 | − | 0.952709i | ||||
\(303\) | −946244. | + | 946244.i | −0.592102 | + | 0.592102i | ||||
\(304\) | −244231. | − | 310906.i | −0.151571 | − | 0.192950i | ||||
\(305\) | −1.20498e6 | + | 2.55340e6i | −0.741704 | + | 1.57170i | ||||
\(306\) | 202507. | + | 1.20525e6i | 0.123634 | + | 0.735822i | ||||
\(307\) | 740904. | − | 740904.i | 0.448659 | − | 0.448659i | −0.446250 | − | 0.894908i | \(-0.647241\pi\) |
0.894908 | + | 0.446250i | \(0.147241\pi\) | |||||||
\(308\) | 211407. | − | 434904.i | 0.126982 | − | 0.261226i | ||||
\(309\) | −1.88647e6 | −1.12397 | ||||||||
\(310\) | −210955. | + | 118259.i | −0.124677 | + | 0.0698927i | ||||
\(311\) | − | 984867.i | − | 0.577400i | −0.957420 | − | 0.288700i | \(-0.906777\pi\) | ||
0.957420 | − | 0.288700i | \(-0.0932230\pi\) | |||||||
\(312\) | −406640. | + | 1.38284e6i | −0.236496 | + | 0.804242i | ||||
\(313\) | −84112.7 | − | 84112.7i | −0.0485289 | − | 0.0485289i | 0.682426 | − | 0.730955i | \(-0.260925\pi\) |
−0.730955 | + | 0.682426i | \(0.760925\pi\) | |||||||
\(314\) | −190267. | − | 1.13240e6i | −0.108903 | − | 0.648150i | ||||
\(315\) | 492850. | − | 176823.i | 0.279858 | − | 0.100407i | ||||
\(316\) | −438220. | − | 1.26725e6i | −0.246874 | − | 0.713910i | ||||
\(317\) | −965201. | − | 965201.i | −0.539473 | − | 0.539473i | 0.383901 | − | 0.923374i | \(-0.374580\pi\) |
−0.923374 | + | 0.383901i | \(0.874580\pi\) | |||||||
\(318\) | −277376. | − | 197574.i | −0.153816 | − | 0.109563i | ||||
\(319\) | 33917.7 | 0.0186617 | ||||||||
\(320\) | −969714. | − | 1.55406e6i | −0.529382 | − | 0.848384i | ||||
\(321\) | −1.56303e6 | −0.846653 | ||||||||
\(322\) | −1.31072e6 | − | 933626.i | −0.704485 | − | 0.501803i | ||||
\(323\) | 454986. | + | 454986.i | 0.242656 | + | 0.242656i | ||||
\(324\) | 112335. | + | 324851.i | 0.0594501 | + | 0.171918i | ||||
\(325\) | 2.32621e6 | + | 225070.i | 1.22163 | + | 0.118198i | ||||
\(326\) | 247244. | + | 1.47151e6i | 0.128849 | + | 0.766863i | ||||
\(327\) | −300595. | − | 300595.i | −0.155458 | − | 0.155458i | ||||
\(328\) | 705879. | − | 2.40045e6i | 0.362281 | − | 1.23199i | ||||
\(329\) | 864933.i | 0.440548i | ||||||||
\(330\) | 190853. | − | 677827.i | 0.0964747 | − | 0.342637i | ||||
\(331\) | 1.22036e6 | 0.612235 | 0.306117 | − | 0.951994i | \(-0.400970\pi\) | ||||
0.306117 | + | 0.951994i | \(0.400970\pi\) | |||||||
\(332\) | −405529. | + | 834251.i | −0.201919 | + | 0.415386i | ||||
\(333\) | 223388. | − | 223388.i | 0.110395 | − | 0.110395i | ||||
\(334\) | 574836. | + | 3.42121e6i | 0.281954 | + | 1.67808i | ||||
\(335\) | −3.51442e6 | + | 1.26089e6i | −1.71097 | + | 0.613855i | ||||
\(336\) | 486625. | + | 619474.i | 0.235151 | + | 0.299347i | ||||
\(337\) | −1.36373e6 | + | 1.36373e6i | −0.654114 | + | 0.654114i | −0.953981 | − | 0.299867i | \(-0.903058\pi\) |
0.299867 | + | 0.953981i | \(0.403058\pi\) | |||||||
\(338\) | −617017. | + | 866235.i | −0.293769 | + | 0.412424i | ||||
\(339\) | 2.09355e6i | 0.989426i | ||||||||
\(340\) | 1.86854e6 | + | 2.32296e6i | 0.876608 | + | 1.08980i | ||||
\(341\) | 159949.i | 0.0744895i | ||||||||
\(342\) | −230616. | − | 164268.i | −0.106617 | − | 0.0759428i | ||||
\(343\) | 1.45064e6 | − | 1.45064e6i | 0.665769 | − | 0.665769i | ||||
\(344\) | −3.10913e6 | + | 1.69610e6i | −1.41659 | + | 0.772778i | ||||
\(345\) | −2.11930e6 | − | 1.00012e6i | −0.958617 | − | 0.452383i | ||||
\(346\) | 2.38852e6 | − | 401322.i | 1.07260 | − | 0.180220i | ||||
\(347\) | 1.57060e6 | − | 1.57060e6i | 0.700231 | − | 0.700231i | −0.264229 | − | 0.964460i | \(-0.585117\pi\) |
0.964460 | + | 0.264229i | \(0.0851174\pi\) | |||||||
\(348\) | −24156.1 | + | 49693.7i | −0.0106925 | + | 0.0219965i | ||||
\(349\) | 1.88122e6 | 0.826751 | 0.413376 | − | 0.910561i | \(-0.364350\pi\) | ||||
0.413376 | + | 0.910561i | \(0.364350\pi\) | |||||||
\(350\) | 837765. | − | 964126.i | 0.365554 | − | 0.420692i | ||||
\(351\) | 2.96718e6i | 1.28551i | ||||||||
\(352\) | −1.21017e6 | + | 56838.8i | −0.520583 | + | 0.0244505i | ||||
\(353\) | 1.85407e6 | + | 1.85407e6i | 0.791936 | + | 0.791936i | 0.981809 | − | 0.189873i | \(-0.0608077\pi\) |
−0.189873 | + | 0.981809i | \(0.560808\pi\) | |||||||
\(354\) | −73695.0 | + | 12382.3i | −0.0312558 | + | 0.00525163i | ||||
\(355\) | −625703. | + | 1.32589e6i | −0.263510 | + | 0.558388i | ||||
\(356\) | −1.95820e6 | + | 677155.i | −0.818903 | + | 0.283180i | ||||
\(357\) | −906550. | − | 906550.i | −0.376462 | − | 0.376462i | ||||
\(358\) | −859953. | + | 1.20729e6i | −0.354623 | + | 0.497858i | ||||
\(359\) | 4.03875e6 | 1.65390 | 0.826952 | − | 0.562272i | \(-0.190073\pi\) | ||||
0.826952 | + | 0.562272i | \(0.190073\pi\) | |||||||
\(360\) | −980231. | − | 871813.i | −0.398632 | − | 0.354542i | ||||
\(361\) | 2.32703e6 | 0.939796 | ||||||||
\(362\) | −1.06145e6 | + | 1.49018e6i | −0.425724 | + | 0.597677i | ||||
\(363\) | 883184. | + | 883184.i | 0.351791 | + | 0.351791i | ||||
\(364\) | 565105. | + | 1.63417e6i | 0.223550 | + | 0.646464i | ||||
\(365\) | −365750. | − | 1.01944e6i | −0.143699 | − | 0.400524i | ||||
\(366\) | −2.99999e6 | + | 504061.i | −1.17062 | + | 0.196689i | ||||
\(367\) | −699570. | − | 699570.i | −0.271123 | − | 0.271123i | 0.558429 | − | 0.829552i | \(-0.311404\pi\) |
−0.829552 | + | 0.558429i | \(0.811404\pi\) | |||||||
\(368\) | −480779. | + | 4.00297e6i | −0.185066 | + | 1.54086i | ||||
\(369\) | − | 1.79187e6i | − | 0.685078i | ||||||
\(370\) | 208862. | − | 741787.i | 0.0793149 | − | 0.281692i | ||||
\(371\) | −408528. | −0.154094 | ||||||||
\(372\) | −234345. | − | 113915.i | −0.0878007 | − | 0.0426799i | ||||
\(373\) | −1.43587e6 | + | 1.43587e6i | −0.534373 | + | 0.534373i | −0.921871 | − | 0.387498i | \(-0.873339\pi\) |
0.387498 | + | 0.921871i | \(0.373339\pi\) | |||||||
\(374\) | 1.94445e6 | − | 326709.i | 0.718817 | − | 0.120776i | ||||
\(375\) | 952105. | − | 1.59783e6i | 0.349628 | − | 0.586749i | ||||
\(376\) | 1.90232e6 | − | 1.03776e6i | 0.693928 | − | 0.378553i | ||||
\(377\) | −85759.8 | + | 85759.8i | −0.0310764 | + | 0.0310764i | ||||
\(378\) | 1.32081e6 | + | 940811.i | 0.475457 | + | 0.338667i | ||||
\(379\) | 196527.i | 0.0702789i | 0.999382 | + | 0.0351395i | \(0.0111875\pi\) | ||||
−0.999382 | + | 0.0351395i | \(0.988812\pi\) | |||||||
\(380\) | −686647. | − | 74443.0i | −0.243935 | − | 0.0264463i | ||||
\(381\) | − | 250251.i | − | 0.0883207i | ||||||
\(382\) | 2.20641e6 | − | 3.09760e6i | 0.773620 | − | 1.08609i | ||||
\(383\) | 14751.8 | − | 14751.8i | 0.00513865 | − | 0.00513865i | −0.704533 | − | 0.709671i | \(-0.748843\pi\) |
0.709671 | + | 0.704533i | \(0.248843\pi\) | |||||||
\(384\) | 778604. | − | 1.81353e6i | 0.269456 | − | 0.627620i | ||||
\(385\) | −285273. | − | 795126.i | −0.0980863 | − | 0.273391i | ||||
\(386\) | 34448.1 | + | 205022.i | 0.0117678 | + | 0.0700379i | ||||
\(387\) | −1.79348e6 | + | 1.79348e6i | −0.608723 | + | 0.608723i | ||||
\(388\) | −3.38586e6 | − | 1.64586e6i | −1.14180 | − | 0.555028i | ||||
\(389\) | 3.21899e6 | 1.07856 | 0.539282 | − | 0.842125i | \(-0.318696\pi\) | ||||
0.539282 | + | 0.842125i | \(0.318696\pi\) | |||||||
\(390\) | 1.23130e6 | + | 2.19642e6i | 0.409922 | + | 0.731231i | ||||
\(391\) | − | 6.56160e6i | − | 2.17054i | ||||||
\(392\) | −2.01219e6 | − | 591708.i | −0.661386 | − | 0.194488i | ||||
\(393\) | −1.17312e6 | − | 1.17312e6i | −0.383145 | − | 0.383145i | ||||
\(394\) | −296489. | − | 1.76459e6i | −0.0962205 | − | 0.572669i | ||||
\(395\) | −2.11838e6 | − | 999690.i | −0.683143 | − | 0.322383i | ||||
\(396\) | −819977. | + | 283552.i | −0.262763 | + | 0.0908646i | ||||
\(397\) | −1.36965e6 | − | 1.36965e6i | −0.436147 | − | 0.436147i | 0.454566 | − | 0.890713i | \(-0.349794\pi\) |
−0.890713 | + | 0.454566i | \(0.849794\pi\) | |||||||
\(398\) | −4.46558e6 | − | 3.18082e6i | −1.41309 | − | 1.00654i | ||||
\(399\) | 297020. | 0.0934013 | ||||||||
\(400\) | −3.12565e6 | − | 685797.i | −0.976765 | − | 0.214312i | ||||
\(401\) | 4.21327e6 | 1.30845 | 0.654227 | − | 0.756298i | \(-0.272994\pi\) | ||||
0.654227 | + | 0.756298i | \(0.272994\pi\) | |||||||
\(402\) | −3.27659e6 | − | 2.33391e6i | −1.01125 | − | 0.720310i | ||||
\(403\) | −404424. | − | 404424.i | −0.124044 | − | 0.124044i | ||||
\(404\) | 3.80106e6 | − | 1.31442e6i | 1.15865 | − | 0.400666i | ||||
\(405\) | 543034. | + | 256264.i | 0.164509 | + | 0.0776338i | ||||
\(406\) | 10983.1 | + | 65367.3i | 0.00330681 | + | 0.0196809i | ||||
\(407\) | −360397. | − | 360397.i | −0.107844 | − | 0.107844i | ||||
\(408\) | −906163. | + | 3.08155e6i | −0.269498 | + | 0.916470i | ||||
\(409\) | 87415.5i | 0.0258393i | 0.999917 | + | 0.0129196i | \(0.00411256\pi\) | ||||
−0.999917 | + | 0.0129196i | \(0.995887\pi\) | |||||||
\(410\) | −2.13738e6 | − | 3.81273e6i | −0.627947 | − | 1.12015i | ||||
\(411\) | 624248. | 0.182286 | ||||||||
\(412\) | 5.09922e6 | + | 2.47873e6i | 1.48000 | + | 0.719425i | ||||
\(413\) | −63388.7 | + | 63388.7i | −0.0182868 | + | 0.0182868i | ||||
\(414\) | 478426. | + | 2.84742e6i | 0.137187 | + | 0.816489i | ||||
\(415\) | 547222. | + | 1.52524e6i | 0.155971 | + | 0.434729i | ||||
\(416\) | 2.91616e6 | − | 3.20359e6i | 0.826185 | − | 0.907618i | ||||
\(417\) | 2.64899e6 | − | 2.64899e6i | 0.746002 | − | 0.746002i | ||||
\(418\) | −265016. | + | 372059.i | −0.0741877 | + | 0.104153i | ||||
\(419\) | − | 3.03985e6i | − | 0.845897i | −0.906154 | − | 0.422948i | \(-0.860995\pi\) | ||
0.906154 | − | 0.422948i | \(-0.139005\pi\) | |||||||
\(420\) | 1.36813e6 | + | 148326.i | 0.378446 | + | 0.0410293i | ||||
\(421\) | − | 2.59517e6i | − | 0.713608i | −0.934179 | − | 0.356804i | \(-0.883866\pi\) | ||
0.934179 | − | 0.356804i | \(-0.116134\pi\) | |||||||
\(422\) | 2.28126e6 | + | 1.62494e6i | 0.623583 | + | 0.444177i | ||||
\(423\) | 1.09734e6 | − | 1.09734e6i | 0.298189 | − | 0.298189i | ||||
\(424\) | 490157. | + | 898510.i | 0.132410 | + | 0.242722i | ||||
\(425\) | 5.18375e6 | + | 501549.i | 1.39210 | + | 0.134692i | ||||
\(426\) | −1.55779e6 | + | 261741.i | −0.415895 | + | 0.0698791i | ||||
\(427\) | −2.58043e6 | + | 2.58043e6i | −0.684894 | + | 0.684894i | ||||
\(428\) | 4.22495e6 | + | 2.05375e6i | 1.11484 | + | 0.541923i | ||||
\(429\) | 1.66536e6 | 0.436882 | ||||||||
\(430\) | −1.67686e6 | + | 5.95547e6i | −0.437345 | + | 1.55326i | ||||
\(431\) | 3.24379e6i | 0.841122i | 0.907264 | + | 0.420561i | \(0.138167\pi\) | ||||
−0.907264 | + | 0.420561i | \(0.861833\pi\) | |||||||
\(432\) | 484479. | − | 4.03377e6i | 0.124901 | − | 1.03993i | ||||
\(433\) | −2.83919e6 | − | 2.83919e6i | −0.727738 | − | 0.727738i | 0.242431 | − | 0.970169i | \(-0.422055\pi\) |
−0.970169 | + | 0.242431i | \(0.922055\pi\) | |||||||
\(434\) | −308258. | + | 51793.8i | −0.0785579 | + | 0.0131994i | ||||
\(435\) | 32596.3 | + | 90854.0i | 0.00825934 | + | 0.0230208i | ||||
\(436\) | 417556. | + | 1.20749e6i | 0.105196 | + | 0.304206i | ||||
\(437\) | 1.07491e6 | + | 1.07491e6i | 0.269258 | + | 0.269258i | ||||
\(438\) | 677004. | − | 950451.i | 0.168619 | − | 0.236725i | ||||
\(439\) | −4.72246e6 | −1.16952 | −0.584759 | − | 0.811207i | \(-0.698811\pi\) | ||||
−0.584759 | + | 0.811207i | \(0.698811\pi\) | |||||||
\(440\) | −1.40652e6 | + | 1.58143e6i | −0.346348 | + | 0.389420i | ||||
\(441\) | −1.50205e6 | −0.367779 | ||||||||
\(442\) | −4.09040e6 | + | 5.74255e6i | −0.995888 | + | 1.39813i | ||||
\(443\) | −3.54476e6 | − | 3.54476e6i | −0.858178 | − | 0.858178i | 0.132945 | − | 0.991123i | \(-0.457556\pi\) |
−0.991123 | + | 0.132945i | \(0.957556\pi\) | |||||||
\(444\) | 784701. | − | 271353.i | 0.188906 | − | 0.0653247i | ||||
\(445\) | −1.54476e6 | + | 3.27341e6i | −0.369795 | + | 0.783610i | ||||
\(446\) | 40824.2 | − | 6859.33i | 0.00971808 | − | 0.00163284i | ||||
\(447\) | 1.26560e6 | + | 1.26560e6i | 0.299590 | + | 0.299590i | ||||
\(448\) | −501413. | − | 2.31387e6i | −0.118032 | − | 0.544683i | ||||
\(449\) | 5.55787e6i | 1.30105i | 0.759487 | + | 0.650523i | \(0.225450\pi\) | ||||
−0.759487 | + | 0.650523i | \(0.774550\pi\) | |||||||
\(450\) | −2.28607e6 | + | 160315.i | −0.532179 | + | 0.0373201i | ||||
\(451\) | −2.89086e6 | −0.669246 | ||||||||
\(452\) | 2.75082e6 | − | 5.65896e6i | 0.633309 | − | 1.30284i | ||||
\(453\) | 2.46736e6 | − | 2.46736e6i | 0.564921 | − | 0.564921i | ||||
\(454\) | −758252. | + | 127402.i | −0.172653 | + | 0.0290093i | ||||
\(455\) | 2.73175e6 | + | 1.28914e6i | 0.618603 | + | 0.291926i | ||||
\(456\) | −356368. | − | 653261.i | −0.0802578 | − | 0.147121i | ||||
\(457\) | 827241. | − | 827241.i | 0.185286 | − | 0.185286i | −0.608369 | − | 0.793654i | \(-0.708176\pi\) |
0.793654 | + | 0.608369i | \(0.208176\pi\) | |||||||
\(458\) | 2.40358e6 | + | 1.71207e6i | 0.535421 | + | 0.381379i | ||||
\(459\) | 6.61209e6i | 1.46490i | ||||||||
\(460\) | 4.41446e6 | + | 5.48804e6i | 0.972709 | + | 1.20927i | ||||
\(461\) | 5.22863e6i | 1.14587i | 0.819600 | + | 0.572936i | \(0.194196\pi\) | ||||
−0.819600 | + | 0.572936i | \(0.805804\pi\) | |||||||
\(462\) | 528040. | − | 741319.i | 0.115096 | − | 0.161585i | ||||
\(463\) | −5.71441e6 | + | 5.71441e6i | −1.23885 | + | 1.23885i | −0.278380 | + | 0.960471i | \(0.589797\pi\) |
−0.960471 | + | 0.278380i | \(0.910203\pi\) | |||||||
\(464\) | 130590. | − | 102585.i | 0.0281589 | − | 0.0221201i | ||||
\(465\) | −428448. | + | 153717.i | −0.0918894 | + | 0.0329678i | ||||
\(466\) | −1.17247e6 | − | 6.97813e6i | −0.250114 | − | 1.48859i | ||||
\(467\) | 1.68851e6 | − | 1.68851e6i | 0.358271 | − | 0.358271i | −0.504904 | − | 0.863175i | \(-0.668472\pi\) |
0.863175 | + | 0.504904i | \(0.168472\pi\) | |||||||
\(468\) | 1.35633e6 | − | 2.79023e6i | 0.286254 | − | 0.588878i | ||||
\(469\) | −4.82587e6 | −1.01308 | ||||||||
\(470\) | 1.02599e6 | − | 3.64386e6i | 0.214238 | − | 0.760882i | ||||
\(471\) | − | 2.16125e6i | − | 0.448904i | ||||||
\(472\) | 215471. | + | 63361.6i | 0.0445178 | + | 0.0130910i | ||||
\(473\) | 2.89347e6 | + | 2.89347e6i | 0.594656 | + | 0.594656i | ||||
\(474\) | −418185. | − | 2.48888e6i | −0.0854914 | − | 0.508813i | ||||
\(475\) | −931358. | + | 767032.i | −0.189401 | + | 0.155984i | ||||
\(476\) | 1.25929e6 | + | 3.64161e6i | 0.254746 | + | 0.736675i | ||||
\(477\) | 518301. | + | 518301.i | 0.104300 | + | 0.104300i | ||||
\(478\) | 1.18924e6 | + | 847094.i | 0.238068 | + | 0.169575i | ||||
\(479\) | −2.52841e6 | −0.503510 | −0.251755 | − | 0.967791i | \(-0.581008\pi\) | ||||
−0.251755 | + | 0.967791i | \(0.581008\pi\) | |||||||
\(480\) | −1.31527e6 | − | 3.18701e6i | −0.260563 | − | 0.631364i | ||||
\(481\) | 1.82250e6 | 0.359174 | ||||||||
\(482\) | −1.37078e6 | − | 976402.i | −0.268751 | − | 0.191430i | ||||
\(483\) | −2.14174e6 | − | 2.14174e6i | −0.417733 | − | 0.417733i | ||||
\(484\) | −1.22683e6 | − | 3.54775e6i | −0.238051 | − | 0.688398i | ||||
\(485\) | −6.19029e6 | + | 2.22093e6i | −1.19497 | + | 0.428727i | ||||
\(486\) | −796495. | − | 4.74044e6i | −0.152965 | − | 0.910392i | ||||
\(487\) | −618270. | − | 618270.i | −0.118129 | − | 0.118129i | 0.645571 | − | 0.763700i | \(-0.276619\pi\) |
−0.763700 | + | 0.645571i | \(0.776619\pi\) | |||||||
\(488\) | 8.77142e6 | + | 2.57933e6i | 1.66732 | + | 0.490295i | ||||
\(489\) | 2.80846e6i | 0.531124i | ||||||||
\(490\) | −3.19605e6 | + | 1.79168e6i | −0.601344 | + | 0.337108i | ||||
\(491\) | −3.42336e6 | −0.640839 | −0.320420 | − | 0.947276i | \(-0.603824\pi\) | ||||
−0.320420 | + | 0.947276i | \(0.603824\pi\) | |||||||
\(492\) | 2.05886e6 | − | 4.23547e6i | 0.383455 | − | 0.788840i | ||||
\(493\) | −191108. | + | 191108.i | −0.0354129 | + | 0.0354129i | ||||
\(494\) | −270652. | − | 1.61082e6i | −0.0498992 | − | 0.296982i | ||||
\(495\) | −646853. | + | 1.37071e6i | −0.118657 | + | 0.251438i | ||||
\(496\) | 483767. | + | 615835.i | 0.0882941 | + | 0.112398i | ||||
\(497\) | −1.33993e6 | + | 1.33993e6i | −0.243327 | + | 0.243327i | ||||
\(498\) | −1.01291e6 | + | 1.42203e6i | −0.183019 | + | 0.256942i | ||||
\(499\) | 116929.i | 0.0210218i | 0.999945 | + | 0.0105109i | \(0.00334578\pi\) | ||||
−0.999945 | + | 0.0105109i | \(0.996654\pi\) | |||||||
\(500\) | −4.67305e6 | + | 3.06799e6i | −0.835941 | + | 0.548819i | ||||
\(501\) | 6.52959e6i | 1.16223i | ||||||||
\(502\) | 8.00947e6 | + | 5.70513e6i | 1.41855 | + | 1.01043i | ||||
\(503\) | 2.68560e6 | − | 2.68560e6i | 0.473284 | − | 0.473284i | −0.429692 | − | 0.902976i | \(-0.641378\pi\) |
0.902976 | + | 0.429692i | \(0.141378\pi\) | |||||||
\(504\) | −811990. | − | 1.48846e6i | −0.142388 | − | 0.261013i | ||||
\(505\) | 2.99853e6 | − | 6.35400e6i | 0.523215 | − | 1.10871i | ||||
\(506\) | 4.59380e6 | − | 771856.i | 0.797620 | − | 0.134017i | ||||
\(507\) | −1.41544e6 | + | 1.41544e6i | −0.244552 | + | 0.244552i | ||||
\(508\) | −328817. | + | 676439.i | −0.0565321 | + | 0.116297i | ||||
\(509\) | −4.09184e6 | −0.700043 | −0.350021 | − | 0.936742i | \(-0.613826\pi\) | ||||
−0.350021 | + | 0.936742i | \(0.613826\pi\) | |||||||
\(510\) | 2.74384e6 | + | 4.89454e6i | 0.467125 | + | 0.833271i | ||||
\(511\) | − | 1.39985e6i | − | 0.237154i | ||||||
\(512\) | −4.48749e6 | + | 3.87902e6i | −0.756535 | + | 0.653953i | ||||
\(513\) | −1.08318e6 | − | 1.08318e6i | −0.181723 | − | 0.181723i | ||||
\(514\) | −1.71578e6 | + | 288287.i | −0.286453 | + | 0.0481302i | ||||
\(515\) | 9.32279e6 | − | 3.34480e6i | 1.54892 | − | 0.555715i | ||||
\(516\) | −6.30001e6 | + | 2.17857e6i | −1.04164 | + | 0.360203i | ||||
\(517\) | −1.77037e6 | − | 1.77037e6i | −0.291298 | − | 0.291298i | ||||
\(518\) | 577866. | − | 811270.i | 0.0946243 | − | 0.132844i | ||||
\(519\) | 4.55864e6 | 0.742877 | ||||||||
\(520\) | −442260. | − | 7.55490e6i | −0.0717248 | − | 1.22524i | ||||
\(521\) | −5.55983e6 | −0.897360 | −0.448680 | − | 0.893692i | \(-0.648106\pi\) | ||||
−0.448680 | + | 0.893692i | \(0.648106\pi\) | |||||||
\(522\) | 68997.4 | − | 96866.0i | 0.0110830 | − | 0.0155595i | ||||
\(523\) | 1.22502e6 | + | 1.22502e6i | 0.195835 | + | 0.195835i | 0.798212 | − | 0.602377i | \(-0.205780\pi\) |
−0.602377 | + | 0.798212i | \(0.705780\pi\) | |||||||
\(524\) | 1.62958e6 | + | 4.71244e6i | 0.259268 | + | 0.749752i | ||||
\(525\) | 1.85571e6 | − | 1.52829e6i | 0.293841 | − | 0.241996i | ||||
\(526\) | −8.31392e6 | + | 1.39691e6i | −1.31021 | + | 0.220143i | ||||
\(527\) | −901224. | − | 901224.i | −0.141353 | − | 0.141353i | ||||
\(528\) | −2.26400e6 | − | 271919.i | −0.353420 | − | 0.0424477i | ||||
\(529\) | − | 9.06554e6i | − | 1.40849i | ||||||
\(530\) | 1.72108e6 | + | 484596.i | 0.266140 | + | 0.0749360i | ||||
\(531\) | 160843. | 0.0247552 | ||||||||
\(532\) | −802858. | − | 390269.i | −0.122987 | − | 0.0597840i | ||||
\(533\) | 7.30944e6 | − | 7.30944e6i | 1.11446 | − | 1.11446i | ||||
\(534\) | −3.84592e6 | + | 646196.i | −0.583643 | + | 0.0980643i | ||||
\(535\) | 7.72439e6 | − | 2.77133e6i | 1.16676 | − | 0.418604i | ||||
\(536\) | 5.79015e6 | + | 1.06140e7i | 0.870518 | + | 1.59575i | ||||
\(537\) | −1.97273e6 | + | 1.97273e6i | −0.295211 | + | 0.295211i | ||||
\(538\) | 2.69416e6 | + | 1.91905e6i | 0.401299 | + | 0.285844i | ||||
\(539\) | 2.42328e6i | 0.359280i | ||||||||
\(540\) | −4.44843e6 | − | 5.53027e6i | −0.656481 | − | 0.816136i | ||||
\(541\) | − | 3.09831e6i | − | 0.455126i | −0.973763 | − | 0.227563i | \(-0.926924\pi\) | ||
0.973763 | − | 0.227563i | \(-0.0730758\pi\) | |||||||
\(542\) | 7.06501e6 | − | 9.91862e6i | 1.03303 | − | 1.45028i | ||||
\(543\) | −2.43497e6 | + | 2.43497e6i | −0.354400 | + | 0.354400i | ||||
\(544\) | 6.49840e6 | − | 7.13891e6i | 0.941476 | − | 1.03427i | ||||
\(545\) | 2.01849e6 | + | 952550.i | 0.291095 | + | 0.137372i | ||||
\(546\) | 539268. | + | 3.20953e6i | 0.0774146 | + | 0.460743i | ||||
\(547\) | −3.00330e6 | + | 3.00330e6i | −0.429171 | + | 0.429171i | −0.888346 | − | 0.459175i | \(-0.848145\pi\) |
0.459175 | + | 0.888346i | \(0.348145\pi\) | |||||||
\(548\) | −1.68737e6 | − | 820231.i | −0.240027 | − | 0.116677i | ||||
\(549\) | 6.54761e6 | 0.927155 | ||||||||
\(550\) | 258640. | + | 3.68816e6i | 0.0364576 | + | 0.519880i | ||||
\(551\) | − | 62614.1i | − | 0.00878605i | ||||||
\(552\) | −2.14082e6 | + | 7.28020e6i | −0.299043 | + | 1.01694i | ||||
\(553\) | −2.14081e6 | − | 2.14081e6i | −0.297691 | − | 0.297691i | ||||
\(554\) | −1.92246e6 | − | 1.14418e7i | −0.266123 | − | 1.58386i | ||||
\(555\) | 619025. | − | 1.31174e6i | 0.0853052 | − | 0.180765i | ||||
\(556\) | −1.06410e7 | + | 3.67970e6i | −1.45980 | + | 0.504807i | ||||
\(557\) | 7.17930e6 | + | 7.17930e6i | 0.980492 | + | 0.980492i | 0.999813 | − | 0.0193214i | \(-0.00615057\pi\) |
−0.0193214 | + | 0.999813i | \(0.506151\pi\) | |||||||
\(558\) | 456799. | + | 325377.i | 0.0621068 | + | 0.0442386i | ||||
\(559\) | −1.46320e7 | −1.98050 | ||||||||
\(560\) | −3.50322e6 | − | 2.19859e6i | −0.472061 | − | 0.296260i | ||||
\(561\) | 3.71110e6 | 0.497847 | ||||||||
\(562\) | 1.20036e7 | + | 8.55012e6i | 1.60313 | + | 1.14191i | ||||
\(563\) | −6.92226e6 | − | 6.92226e6i | −0.920400 | − | 0.920400i | 0.0766573 | − | 0.997057i | \(-0.475575\pi\) |
−0.997057 | + | 0.0766573i | \(0.975575\pi\) | |||||||
\(564\) | 3.85466e6 | − | 1.33296e6i | 0.510257 | − | 0.176449i | ||||
\(565\) | −3.71196e6 | − | 1.03462e7i | −0.489195 | − | 1.36351i | ||||
\(566\) | −1.15770e6 | − | 6.89022e6i | −0.151899 | − | 0.904049i | ||||
\(567\) | 548784. | + | 548784.i | 0.0716875 | + | 0.0716875i | ||||
\(568\) | 4.55468e6 | + | 1.33936e6i | 0.592362 | + | 0.174191i | ||||
\(569\) | 9.05668e6i | 1.17270i | 0.810057 | + | 0.586352i | \(0.199436\pi\) | ||||
−0.810057 | + | 0.586352i | \(0.800564\pi\) | |||||||
\(570\) | −1.25131e6 | − | 352325.i | −0.161316 | − | 0.0454210i | ||||
\(571\) | 1.49702e7 | 1.92149 | 0.960745 | − | 0.277435i | \(-0.0894842\pi\) | ||||
0.960745 | + | 0.277435i | \(0.0894842\pi\) | |||||||
\(572\) | −4.50154e6 | − | 2.18820e6i | −0.575269 | − | 0.279638i | ||||
\(573\) | 5.06151e6 | − | 5.06151e6i | 0.644011 | − | 0.644011i | ||||
\(574\) | −936105. | − | 5.57135e6i | −0.118589 | − | 0.705799i | ||||
\(575\) | 1.22467e7 | + | 1.18492e6i | 1.54472 | + | 0.149458i | ||||
\(576\) | −2.29947e6 | + | 3.57176e6i | −0.288783 | + | 0.448566i | ||||
\(577\) | −7.13017e6 | + | 7.13017e6i | −0.891580 | + | 0.891580i | −0.994672 | − | 0.103092i | \(-0.967126\pi\) |
0.103092 | + | 0.994672i | \(0.467126\pi\) | |||||||
\(578\) | −4.45526e6 | + | 6.25477e6i | −0.554694 | + | 0.778738i | ||||
\(579\) | 391298.i | 0.0485077i | ||||||||
\(580\) | 31268.4 | − | 288413.i | 0.00385954 | − | 0.0355995i | ||||
\(581\) | 2.09441e6i | 0.257407i | ||||||||
\(582\) | −5.77139e6 | − | 4.11095e6i | −0.706274 | − | 0.503077i | ||||
\(583\) | 836186. | − | 836186.i | 0.101890 | − | 0.101890i | ||||
\(584\) | −3.07882e6 | + | 1.67956e6i | −0.373553 | + | 0.203781i | ||||
\(585\) | −1.83023e6 | − | 5.10132e6i | −0.221114 | − | 0.616301i | ||||
\(586\) | 1.06386e7 | − | 1.78752e6i | 1.27980 | − | 0.215033i | ||||
\(587\) | 1.85509e6 | − | 1.85509e6i | 0.222213 | − | 0.222213i | −0.587217 | − | 0.809430i | \(-0.699776\pi\) |
0.809430 | + | 0.587217i | \(0.199776\pi\) | |||||||
\(588\) | −3.55042e6 | − | 1.72586e6i | −0.423483 | − | 0.205855i | ||||
\(589\) | 295275. | 0.0350702 | ||||||||
\(590\) | 342241. | − | 191857.i | 0.0404764 | − | 0.0226907i | ||||
\(591\) | − | 3.36783e6i | − | 0.396626i | ||||||
\(592\) | −2.47763e6 | − | 297577.i | −0.290557 | − | 0.0348976i | ||||
\(593\) | −4.16864e6 | − | 4.16864e6i | −0.486808 | − | 0.486808i | 0.420489 | − | 0.907298i | \(-0.361858\pi\) |
−0.907298 | + | 0.420489i | \(0.861858\pi\) | |||||||
\(594\) | −4.62915e6 | + | 777795.i | −0.538314 | + | 0.0904481i | ||||
\(595\) | 6.08746e6 | + | 2.87275e6i | 0.704926 | + | 0.332663i | ||||
\(596\) | −1.75804e6 | − | 5.08392e6i | −0.202728 | − | 0.586250i | ||||
\(597\) | −7.29681e6 | − | 7.29681e6i | −0.837910 | − | 0.837910i | ||||
\(598\) | −9.66364e6 | + | 1.35669e7i | −1.10507 | + | 1.55141i | ||||
\(599\) | −199615. | −0.0227314 | −0.0113657 | − | 0.999935i | \(-0.503618\pi\) | ||||
−0.0113657 | + | 0.999935i | \(0.503618\pi\) | |||||||
\(600\) | −5.58782e6 | − | 2.24776e6i | −0.633672 | − | 0.254901i | ||||
\(601\) | −4.47068e6 | −0.504880 | −0.252440 | − | 0.967613i | \(-0.581233\pi\) | ||||
−0.252440 | + | 0.967613i | \(0.581233\pi\) | |||||||
\(602\) | −4.63942e6 | + | 6.51332e6i | −0.521762 | + | 0.732506i | ||||
\(603\) | 6.12260e6 | + | 6.12260e6i | 0.685713 | + | 0.685713i | ||||
\(604\) | −9.91139e6 | + | 3.42741e6i | −1.10546 | + | 0.382273i | ||||
\(605\) | −5.93056e6 | − | 2.79870e6i | −0.658729 | − | 0.310863i | ||||
\(606\) | 7.46530e6 | − | 1.25433e6i | 0.825783 | − | 0.138749i | ||||
\(607\) | 4.55140e6 | + | 4.55140e6i | 0.501387 | + | 0.501387i | 0.911869 | − | 0.410481i | \(-0.134639\pi\) |
−0.410481 | + | 0.911869i | \(0.634639\pi\) | |||||||
\(608\) | 104928. | + | 2.23405e6i | 0.0115115 | + | 0.245094i | ||||
\(609\) | 124757.i | 0.0136309i | ||||||||
\(610\) | 1.39320e7 | − | 7.81015e6i | 1.51596 | − | 0.849835i | ||||
\(611\) | 8.95263e6 | 0.970169 | ||||||||
\(612\) | 3.02246e6 | − | 6.21779e6i | 0.326199 | − | 0.671054i | ||||
\(613\) | 256784. | − | 256784.i | 0.0276005 | − | 0.0276005i | −0.693172 | − | 0.720772i | \(-0.743787\pi\) |
0.720772 | + | 0.693172i | \(0.243787\pi\) | |||||||
\(614\) | −5.84530e6 | + | 982133.i | −0.625728 | + | 0.105136i | ||||
\(615\) | −2.77823e6 | − | 7.74363e6i | −0.296197 | − | 0.825575i | ||||
\(616\) | −2.40137e6 | + | 1.31000e6i | −0.254981 | + | 0.139098i | ||||
\(617\) | −3.63901e6 | + | 3.63901e6i | −0.384831 | + | 0.384831i | −0.872839 | − | 0.488008i | \(-0.837724\pi\) |
0.488008 | + | 0.872839i | \(0.337724\pi\) | |||||||
\(618\) | 8.69190e6 | + | 6.19122e6i | 0.915469 | + | 0.652087i | ||||
\(619\) | − | 1.22111e7i | − | 1.28094i | −0.767983 | − | 0.640470i | \(-0.778739\pi\) | ||
0.767983 | − | 0.640470i | \(-0.221261\pi\) | |||||||
\(620\) | 1.36009e6 | + | 147455.i | 0.142098 | + | 0.0154056i | ||||
\(621\) | 1.56212e7i | 1.62549i | ||||||||
\(622\) | −3.23225e6 | + | 4.53778e6i | −0.334988 | + | 0.470291i | ||||
\(623\) | −3.30806e6 | + | 3.30806e6i | −0.341471 | + | 0.341471i | ||||
\(624\) | 6.41197e6 | − | 5.03689e6i | 0.659219 | − | 0.517847i | ||||
\(625\) | −1.87220e6 | + | 9.58448e6i | −0.191714 | + | 0.981451i | ||||
\(626\) | 111499. | + | 663600.i | 0.0113719 | + | 0.0676816i | ||||
\(627\) | −607948. | + | 607948.i | −0.0617586 | + | 0.0617586i | ||||
\(628\) | −2.83978e6 | + | 5.84197e6i | −0.287333 | + | 0.591099i | ||||
\(629\) | 4.06129e6 | 0.409296 | ||||||||
\(630\) | −2.85112e6 | − | 802778.i | −0.286197 | − | 0.0805831i | ||||
\(631\) | − | 5.51289e6i | − | 0.551196i | −0.961273 | − | 0.275598i | \(-0.911124\pi\) | ||
0.961273 | − | 0.275598i | \(-0.0888759\pi\) | |||||||
\(632\) | −2.13990e6 | + | 7.27704e6i | −0.213108 | + | 0.724707i | ||||
\(633\) | 3.72761e6 | + | 3.72761e6i | 0.369761 | + | 0.369761i | ||||
\(634\) | 1.27946e6 | + | 7.61486e6i | 0.126416 | + | 0.752383i | ||||
\(635\) | 443706. | + | 1.23672e6i | 0.0436678 | + | 0.121713i | ||||
\(636\) | 629588. | + | 1.82065e6i | 0.0617182 | + | 0.178477i | ||||
\(637\) | −6.12719e6 | − | 6.12719e6i | −0.598291 | − | 0.598291i | ||||
\(638\) | −156276. | − | 111315.i | −0.0151999 | − | 0.0108269i | ||||
\(639\) | 3.39994e6 | 0.329397 | ||||||||
\(640\) | −632324. | + | 1.03428e7i | −0.0610225 | + | 0.998136i | ||||
\(641\) | −5.49557e6 | −0.528285 | −0.264142 | − | 0.964484i | \(-0.585089\pi\) | ||||
−0.264142 | + | 0.964484i | \(0.585089\pi\) | |||||||
\(642\) | 7.20167e6 | + | 5.12973e6i | 0.689598 | + | 0.491199i | ||||
\(643\) | 3.73494e6 | + | 3.73494e6i | 0.356252 | + | 0.356252i | 0.862429 | − | 0.506178i | \(-0.168942\pi\) |
−0.506178 | + | 0.862429i | \(0.668942\pi\) | |||||||
\(644\) | 2.97508e6 | + | 8.60337e6i | 0.282673 | + | 0.817436i | ||||
\(645\) | −4.96987e6 | + | 1.05313e7i | −0.470377 | + | 0.996746i | ||||
\(646\) | −603124. | − | 3.58957e6i | −0.0568624 | − | 0.338424i | ||||
\(647\) | 1.39016e6 | + | 1.39016e6i | 0.130558 | + | 0.130558i | 0.769366 | − | 0.638808i | \(-0.220572\pi\) |
−0.638808 | + | 0.769366i | \(0.720572\pi\) | |||||||
\(648\) | 548549. | − | 1.86543e6i | 0.0513190 | − | 0.174518i | ||||
\(649\) | − | 259492.i | − | 0.0241831i | ||||||
\(650\) | −9.97934e6 | − | 8.67142e6i | −0.926442 | − | 0.805020i | ||||
\(651\) | −588329. | −0.0544086 | ||||||||
\(652\) | 3.69018e6 | − | 7.59140e6i | 0.339960 | − | 0.699363i | ||||
\(653\) | 4.89294e6 | − | 4.89294e6i | 0.449042 | − | 0.449042i | −0.445994 | − | 0.895036i | \(-0.647150\pi\) |
0.895036 | + | 0.445994i | \(0.147150\pi\) | |||||||
\(654\) | 398466. | + | 2.37152e6i | 0.0364289 | + | 0.216812i | ||||
\(655\) | 7.87750e6 | + | 3.71749e6i | 0.717439 | + | 0.338568i | ||||
\(656\) | −1.11304e7 | + | 8.74344e6i | −1.00984 | + | 0.793273i | ||||
\(657\) | −1.77600e6 | + | 1.77600e6i | −0.160520 | + | 0.160520i | ||||
\(658\) | 2.83863e6 | − | 3.98518e6i | 0.255590 | − | 0.358825i | ||||
\(659\) | 5.27341e6i | 0.473019i | 0.971629 | + | 0.236509i | \(0.0760034\pi\) | ||||
−0.971629 | + | 0.236509i | \(0.923997\pi\) | |||||||
\(660\) | −3.10392e6 | + | 2.49673e6i | −0.277365 | + | 0.223106i | ||||
\(661\) | 1.94657e6i | 0.173287i | 0.996239 | + | 0.0866434i | \(0.0276141\pi\) | ||||
−0.996239 | + | 0.0866434i | \(0.972386\pi\) | |||||||
\(662\) | −5.62281e6 | − | 4.00511e6i | −0.498664 | − | 0.355198i | ||||
\(663\) | −9.38339e6 | + | 9.38339e6i | −0.829041 | + | 0.829041i | ||||
\(664\) | 4.60641e6 | − | 2.51290e6i | 0.405455 | − | 0.221185i | ||||
\(665\) | −1.46785e6 | + | 526630.i | −0.128714 | + | 0.0461797i | ||||
\(666\) | −1.76240e6 | + | 296121.i | −0.153964 | + | 0.0258692i | ||||
\(667\) | −451496. | + | 451496.i | −0.0392952 | + | 0.0392952i | ||||
\(668\) | 8.57956e6 | − | 1.76498e7i | 0.743916 | − | 1.53038i | ||||
\(669\) | 77915.5 | 0.00673067 | ||||||||
\(670\) | 2.03308e7 | + | 5.72446e6i | 1.74972 | + | 0.492660i | ||||
\(671\) | − | 1.05634e7i | − | 0.905728i | ||||||
\(672\) | −209066. | − | 4.45129e6i | −0.0178592 | − | 0.380244i | ||||
\(673\) | −3.79903e6 | − | 3.79903e6i | −0.323322 | − | 0.323322i | 0.526718 | − | 0.850040i | \(-0.323422\pi\) |
−0.850040 | + | 0.526718i | \(0.823422\pi\) | |||||||
\(674\) | 1.07590e7 | − | 1.80774e6i | 0.912269 | − | 0.153281i | ||||
\(675\) | −1.23409e7 | − | 1.19404e6i | −1.04253 | − | 0.100869i | ||||
\(676\) | 5.68581e6 | − | 1.96618e6i | 0.478548 | − | 0.165484i | ||||
\(677\) | −5.44238e6 | − | 5.44238e6i | −0.456370 | − | 0.456370i | 0.441092 | − | 0.897462i | \(-0.354591\pi\) |
−0.897462 | + | 0.441092i | \(0.854591\pi\) | |||||||
\(678\) | 6.87083e6 | − | 9.64601e6i | 0.574031 | − | 0.805886i | ||||
\(679\) | −8.50028e6 | −0.707553 | ||||||||
\(680\) | −985538. | − | 1.68354e7i | −0.0817337 | − | 1.39621i | ||||
\(681\) | −1.44717e6 | −0.119578 | ||||||||
\(682\) | 524938. | − | 736964.i | 0.0432162 | − | 0.0606716i | ||||
\(683\) | −4.04342e6 | − | 4.04342e6i | −0.331663 | − | 0.331663i | 0.521555 | − | 0.853218i | \(-0.325352\pi\) |
−0.853218 | + | 0.521555i | \(0.825352\pi\) | |||||||
\(684\) | 523453. | + | 1.51373e6i | 0.0427797 | + | 0.123711i | ||||
\(685\) | −3.08499e6 | + | 1.10682e6i | −0.251204 | + | 0.0901262i | ||||
\(686\) | −1.14447e7 | + | 1.92295e6i | −0.928524 | + | 0.156012i | ||||
\(687\) | 3.92749e6 | + | 3.92749e6i | 0.317485 | + | 0.317485i | ||||
\(688\) | 1.98918e7 | + | 2.38911e6i | 1.60215 | + | 0.192427i | ||||
\(689\) | 4.22853e6i | 0.339345i | ||||||||
\(690\) | 6.48236e6 | + | 1.15634e7i | 0.518335 | + | 0.924622i | ||||
\(691\) | −1.81841e6 | −0.144876 | −0.0724382 | − | 0.997373i | \(-0.523078\pi\) | ||||
−0.0724382 | + | 0.997373i | \(0.523078\pi\) | |||||||
\(692\) | −1.23222e7 | − | 5.98983e6i | −0.978192 | − | 0.475499i | ||||
\(693\) | −1.38522e6 | + | 1.38522e6i | −0.109568 | + | 0.109568i | ||||
\(694\) | −1.23911e7 | + | 2.08197e6i | −0.976587 | + | 0.164087i | ||||
\(695\) | −8.39432e6 | + | 1.77879e7i | −0.659210 | + | 1.39689i | ||||
\(696\) | 274390. | − | 149686.i | 0.0214706 | − | 0.0117127i | ||||
\(697\) | 1.62884e7 | − | 1.62884e7i | 1.26998 | − | 1.26998i | ||||
\(698\) | −8.66770e6 | − | 6.17398e6i | −0.673388 | − | 0.479653i | ||||
\(699\) | − | 1.33182e7i | − | 1.03098i | ||||||
\(700\) | −7.02418e6 | + | 1.69274e6i | −0.541814 | + | 0.130571i | ||||
\(701\) | 8.48609e6i | 0.652248i | 0.945327 | + | 0.326124i | \(0.105743\pi\) | ||||
−0.945327 | + | 0.326124i | \(0.894257\pi\) | |||||||
\(702\) | 9.73801e6 | − | 1.36713e7i | 0.745809 | − | 1.04705i | ||||
\(703\) | −665315. | + | 665315.i | −0.0507737 | + | 0.0507737i | ||||
\(704\) | 5.76240e6 | + | 3.70979e6i | 0.438200 | + | 0.282109i | ||||
\(705\) | 3.04082e6 | − | 6.44361e6i | 0.230419 | − | 0.488266i | ||||
\(706\) | −2.45774e6 | − | 1.46275e7i | −0.185577 | − | 1.10448i | ||||
\(707\) | 6.42127e6 | − | 6.42127e6i | 0.483140 | − | 0.483140i | ||||
\(708\) | 380188. | + | 184809.i | 0.0285046 | + | 0.0138561i | ||||
\(709\) | 1.68500e7 | 1.25888 | 0.629440 | − | 0.777049i | \(-0.283284\pi\) | ||||
0.629440 | + | 0.777049i | \(0.283284\pi\) | |||||||
\(710\) | 7.23438e6 | − | 4.05553e6i | 0.538587 | − | 0.301927i | ||||
\(711\) | 5.43211e6i | 0.402990i | ||||||||
\(712\) | 1.12448e7 | + | 3.30665e6i | 0.831287 | + | 0.244449i | ||||
\(713\) | −2.12916e6 | − | 2.12916e6i | −0.156850 | − | 0.156850i | ||||
\(714\) | 1.20171e6 | + | 7.15215e6i | 0.0882175 | + | 0.525038i | ||||
\(715\) | −8.23007e6 | + | 2.95276e6i | −0.602058 | + | 0.216004i | ||||
\(716\) | 7.92447e6 | − | 2.74032e6i | 0.577680 | − | 0.199765i | ||||
\(717\) | 1.94324e6 | + | 1.94324e6i | 0.141165 | + | 0.141165i | ||||
\(718\) | −1.86085e7 | − | 1.32548e7i | −1.34710 | − | 0.959538i | ||||
\(719\) | −5.25706e6 | −0.379245 | −0.189623 | − | 0.981857i | \(-0.560726\pi\) | ||||
−0.189623 | + | 0.981857i | \(0.560726\pi\) | |||||||
\(720\) | 1.65520e6 | + | 7.23391e6i | 0.118992 | + | 0.520046i | ||||
\(721\) | 1.28017e7 | 0.917128 | ||||||||
\(722\) | −1.07218e7 | − | 7.63710e6i | −0.765463 | − | 0.545237i | ||||
\(723\) | −2.23987e6 | − | 2.23987e6i | −0.159359 | − | 0.159359i | ||||
\(724\) | 9.78127e6 | − | 3.38241e6i | 0.693504 | − | 0.239817i | ||||
\(725\) | −322177. | − | 391199.i | −0.0227640 | − | 0.0276409i | ||||
\(726\) | −1.17074e6 | − | 6.96780e6i | −0.0824363 | − | 0.490630i | ||||
\(727\) | 351685. | + | 351685.i | 0.0246784 | + | 0.0246784i | 0.719338 | − | 0.694660i | \(-0.244445\pi\) |
−0.694660 | + | 0.719338i | \(0.744445\pi\) | |||||||
\(728\) | 2.75949e6 | − | 9.38407e6i | 0.192975 | − | 0.656240i | ||||
\(729\) | − | 1.16576e7i | − | 0.812438i | ||||||
\(730\) | −1.66051e6 | + | 5.89742e6i | −0.115328 | + | 0.409595i | ||||
\(731\) | −3.26062e7 | −2.25687 | ||||||||
\(732\) | 1.54767e7 | + | 7.52323e6i | 1.06758 | + | 0.518951i | ||||
\(733\) | −1.15656e7 | + | 1.15656e7i | −0.795076 | + | 0.795076i | −0.982314 | − | 0.187239i | \(-0.940046\pi\) |
0.187239 | + | 0.982314i | \(0.440046\pi\) | |||||||
\(734\) | 927342. | + | 5.51920e6i | 0.0635331 | + | 0.378125i | ||||
\(735\) | −6.49115e6 | + | 2.32887e6i | −0.443204 | + | 0.159011i | ||||
\(736\) | 1.53526e7 | − | 1.68658e7i | 1.04469 | − | 1.14766i | ||||
\(737\) | 9.87773e6 | − | 9.87773e6i | 0.669867 | − | 0.669867i | ||||
\(738\) | −5.88076e6 | + | 8.25603e6i | −0.397459 | + | 0.557995i | ||||
\(739\) | 1.72691e7i | 1.16321i | 0.813470 | + | 0.581606i | \(0.197576\pi\) | ||||
−0.813470 | + | 0.581606i | \(0.802424\pi\) | |||||||
\(740\) | −3.39681e6 | + | 2.73232e6i | −0.228030 | + | 0.183422i | ||||
\(741\) | − | 3.07435e6i | − | 0.205687i | ||||||
\(742\) | 1.88229e6 | + | 1.34075e6i | 0.125510 | + | 0.0894002i | ||||
\(743\) | 6.71067e6 | − | 6.71067e6i | 0.445958 | − | 0.445958i | −0.448050 | − | 0.894008i | \(-0.647881\pi\) |
0.894008 | + | 0.448050i | \(0.147881\pi\) | |||||||
\(744\) | 705885. | + | 1.29396e6i | 0.0467522 | + | 0.0857017i | ||||
\(745\) | −8.49847e6 | − | 4.01053e6i | −0.560984 | − | 0.264735i | ||||
\(746\) | 1.13282e7 | − | 1.90338e6i | 0.745271 | − | 0.125221i | ||||
\(747\) | 2.65718e6 | − | 2.65718e6i | 0.174229 | − | 0.174229i | ||||
\(748\) | −1.00313e7 | − | 4.87621e6i | −0.655546 | − | 0.318660i | ||||
\(749\) | 1.06068e7 | 0.690847 | ||||||||
\(750\) | −9.63076e6 | + | 4.23728e6i | −0.625183 | + | 0.275064i | ||||
\(751\) | − | 1.91770e7i | − | 1.24074i | −0.784310 | − | 0.620369i | \(-0.786983\pi\) | ||
0.784310 | − | 0.620369i | \(-0.213017\pi\) | |||||||
\(752\) | −1.21708e7 | − | 1.46178e6i | −0.784827 | − | 0.0942622i | ||||
\(753\) | 1.30876e7 | + | 1.30876e7i | 0.841147 | + | 0.841147i | ||||
\(754\) | 676594. | − | 113682.i | 0.0433411 | − | 0.00728222i | ||||
\(755\) | −7.81877e6 | + | 1.65683e7i | −0.499196 | + | 1.05782i | ||||
\(756\) | −2.99798e6 | − | 8.66957e6i | −0.190776 | − | 0.551688i | ||||
\(757\) | 9.28826e6 | + | 9.28826e6i | 0.589107 | + | 0.589107i | 0.937390 | − | 0.348282i | \(-0.113235\pi\) |
−0.348282 | + | 0.937390i | \(0.613235\pi\) | |||||||
\(758\) | 644986. | − | 905500.i | 0.0407734 | − | 0.0572421i | ||||
\(759\) | 8.76755e6 | 0.552425 | ||||||||
\(760\) | 2.91941e6 | + | 2.59651e6i | 0.183342 | + | 0.163063i | ||||
\(761\) | −1.51980e6 | −0.0951315 | −0.0475657 | − | 0.998868i | \(-0.515146\pi\) | ||||
−0.0475657 | + | 0.998868i | \(0.515146\pi\) | |||||||
\(762\) | −821300. | + | 1.15303e6i | −0.0512406 | + | 0.0719371i | ||||
\(763\) | 2.03986e6 | + | 2.03986e6i | 0.126850 | + | 0.126850i | ||||
\(764\) | −2.03321e7 | + | 7.03093e6i | −1.26023 | + | 0.435792i | ||||
\(765\) | −4.07852e6 | − | 1.13678e7i | −0.251970 | − | 0.702303i | ||||
\(766\) | −116383. | + | 19554.9i | −0.00716670 | + | 0.00120416i | ||||
\(767\) | 656115. | + | 656115.i | 0.0402709 | + | 0.0402709i | ||||
\(768\) | −9.53927e6 | + | 5.80054e6i | −0.583596 | + | 0.354867i | ||||
\(769\) | − | 3.15675e6i | − | 0.192497i | −0.995357 | − | 0.0962485i | \(-0.969316\pi\) | ||
0.995357 | − | 0.0962485i | \(-0.0306843\pi\) | |||||||
\(770\) | −1.29514e6 | + | 4.59978e6i | −0.0787208 | + | 0.279583i | ||||
\(771\) | −3.27467e6 | −0.198395 | ||||||||
\(772\) | 514146. | − | 1.05770e6i | 0.0310487 | − | 0.0638731i | ||||
\(773\) | −1.10811e7 | + | 1.10811e7i | −0.667012 | + | 0.667012i | −0.957023 | − | 0.290011i | \(-0.906341\pi\) |
0.290011 | + | 0.957023i | \(0.406341\pi\) | |||||||
\(774\) | 1.41495e7 | − | 2.37742e6i | 0.848965 | − | 0.142644i | ||||
\(775\) | 1.84481e6 | − | 1.51932e6i | 0.110331 | − | 0.0908644i | ||||
\(776\) | 1.01988e7 | + | 1.86954e7i | 0.607985 | + | 1.11450i | ||||
\(777\) | 1.32563e6 | − | 1.32563e6i | 0.0787713 | − | 0.0787713i | ||||
\(778\) | −1.48315e7 | − | 1.05645e7i | −0.878490 | − | 0.625746i | ||||
\(779\) | 5.33670e6i | 0.315086i | ||||||||
\(780\) | 1.53527e6 | − | 1.41610e7i | 0.0903543 | − | 0.833409i | ||||
\(781\) | − | 5.48520e6i | − | 0.321784i | ||||||
\(782\) | −2.15346e7 | + | 3.02326e7i | −1.25927 | + | 1.76790i | ||||
\(783\) | 454971. | − | 454971.i | 0.0265203 | − | 0.0265203i | ||||
\(784\) | 7.32925e6 | + | 9.33014e6i | 0.425863 | + | 0.542123i | ||||
\(785\) | 3.83200e6 | + | 1.06807e7i | 0.221948 | + | 0.618625i | ||||
\(786\) | 1.55508e6 | + | 9.25526e6i | 0.0897835 | + | 0.534358i | ||||
\(787\) | −8.62335e6 | + | 8.62335e6i | −0.496294 | + | 0.496294i | −0.910282 | − | 0.413988i | \(-0.864135\pi\) |
0.413988 | + | 0.910282i | \(0.364135\pi\) | |||||||
\(788\) | −4.42516e6 | + | 9.10340e6i | −0.253871 | + | 0.522262i | ||||
\(789\) | −1.58676e7 | −0.907442 | ||||||||
\(790\) | 6.47955e6 | + | 1.15584e7i | 0.369383 | + | 0.658917i | ||||
\(791\) | − | 1.42069e7i | − | 0.807346i | ||||||
\(792\) | 4.70864e6 | + | 1.38463e6i | 0.266736 | + | 0.0784368i | ||||
\(793\) | 2.67092e7 | + | 2.67092e7i | 1.50827 | + | 1.50827i | ||||
\(794\) | 1.81559e6 | + | 1.08057e7i | 0.102204 | + | 0.608278i | ||||
\(795\) | 3.04346e6 | + | 1.43625e6i | 0.170785 | + | 0.0805956i | ||||
\(796\) | 1.01360e7 | + | 2.93113e7i | 0.567000 | + | 1.63965i | ||||
\(797\) | −1.59570e7 | − | 1.59570e7i | −0.889825 | − | 0.889825i | 0.104681 | − | 0.994506i | \(-0.466618\pi\) |
−0.994506 | + | 0.104681i | \(0.966618\pi\) | |||||||
\(798\) | −1.36852e6 | − | 974792.i | −0.0760752 | − | 0.0541882i | ||||
\(799\) | 1.99501e7 | 1.10555 | ||||||||
\(800\) | 1.21507e7 | + | 1.34179e7i | 0.671238 | + | 0.741242i | ||||
\(801\) | 8.39391e6 | 0.462256 | ||||||||
\(802\) | −1.94127e7 | − | 1.38276e7i | −1.06573 | − | 0.759120i | ||||
\(803\) | 2.86526e6 | + | 2.86526e6i | 0.156810 | + | 0.156810i | ||||
\(804\) | 7.43722e6 | + | 2.15070e7i | 0.405761 | + | 1.17338i | ||||
\(805\) | 1.43817e7 | + | 6.78691e6i | 0.782206 | + | 0.369133i | ||||
\(806\) | 536100. | + | 3.19067e6i | 0.0290675 | + | 0.172999i | ||||
\(807\) | 4.40230e6 | + | 4.40230e6i | 0.237955 | + | 0.237955i | ||||
\(808\) | −2.18272e7 | − | 6.41853e6i | −1.17617 | − | 0.345865i | ||||
\(809\) | 8.86014e6i | 0.475959i | 0.971270 | + | 0.237979i | \(0.0764851\pi\) | ||||
−0.971270 | + | 0.237979i | \(0.923515\pi\) | |||||||
\(810\) | −1.66099e6 | − | 2.96293e6i | −0.0889519 | − | 0.158675i | ||||
\(811\) | 7.70669e6 | 0.411449 | 0.205724 | − | 0.978610i | \(-0.434045\pi\) | ||||
0.205724 | + | 0.978610i | \(0.434045\pi\) | |||||||
\(812\) | 163925. | − | 337225.i | 0.00872479 | − | 0.0179486i | ||||
\(813\) | 1.62071e7 | − | 1.62071e7i | 0.859964 | − | 0.859964i | ||||
\(814\) | 477738. | + | 2.84332e6i | 0.0252714 | + | 0.150406i | ||||
\(815\) | −4.97953e6 | − | 1.38792e7i | −0.262600 | − | 0.731931i | ||||
\(816\) | 1.42885e7 | − | 1.12243e7i | 0.751210 | − | 0.590110i | ||||
\(817\) | 5.34151e6 | − | 5.34151e6i | 0.279968 | − | 0.279968i | ||||
\(818\) | 286890. | − | 402767.i | 0.0149911 | − | 0.0210460i | ||||
\(819\) | − | 7.00494e6i | − | 0.364918i | ||||||
\(820\) | −2.66505e6 | + | 2.45819e7i | −0.138411 | + | 1.27667i | ||||
\(821\) | − | 7.43845e6i | − | 0.385145i | −0.981283 | − | 0.192573i | \(-0.938317\pi\) | ||
0.981283 | − | 0.192573i | \(-0.0616831\pi\) | |||||||
\(822\) | −2.87622e6 | − | 2.04873e6i | −0.148471 | − | 0.105756i | ||||
\(823\) | −1.58115e7 | + | 1.58115e7i | −0.813719 | + | 0.813719i | −0.985189 | − | 0.171471i | \(-0.945148\pi\) |
0.171471 | + | 0.985189i | \(0.445148\pi\) | |||||||
\(824\) | −1.53597e7 | − | 2.81559e7i | −0.788068 | − | 1.44461i | ||||
\(825\) | −670165. | + | 6.92648e6i | −0.0342805 | + | 0.354305i | ||||
\(826\) | 500100. | − | 84027.3i | 0.0255039 | − | 0.00428519i | ||||
\(827\) | 6.62472e6 | − | 6.62472e6i | 0.336824 | − | 0.336824i | −0.518346 | − | 0.855171i | \(-0.673452\pi\) |
0.855171 | + | 0.518346i | \(0.173452\pi\) | |||||||
\(828\) | 7.14062e6 | − | 1.46896e7i | 0.361960 | − | 0.744620i | ||||
\(829\) | 9.68299e6 | 0.489354 | 0.244677 | − | 0.969605i | \(-0.421318\pi\) | ||||
0.244677 | + | 0.969605i | \(0.421318\pi\) | |||||||
\(830\) | 2.48439e6 | − | 8.82349e6i | 0.125177 | − | 0.444575i | ||||
\(831\) | − | 2.18373e7i | − | 1.09697i | ||||||
\(832\) | −2.39501e7 | + | 5.18995e6i | −1.19950 | + | 0.259929i | ||||
\(833\) | −1.36539e7 | − | 1.36539e7i | −0.681780 | − | 0.681780i | ||||
\(834\) | −2.08990e7 | + | 3.51147e6i | −1.04042 | + | 0.174813i | ||||
\(835\) | −1.15773e7 | − | 3.22688e7i | −0.574632 | − | 1.60164i | ||||
\(836\) | 2.44213e6 | − | 844499.i | 0.120852 | − | 0.0417911i | ||||
\(837\) | 2.14554e6 | + | 2.14554e6i | 0.105858 | + | 0.105858i | ||||
\(838\) | −9.97653e6 | + | 1.40061e7i | −0.490760 | + | 0.688982i | ||||
\(839\) | −1.12154e7 | −0.550061 | −0.275031 | − | 0.961435i | \(-0.588688\pi\) | ||||
−0.275031 | + | 0.961435i | \(0.588688\pi\) | |||||||
\(840\) | −5.81686e6 | − | 5.17349e6i | −0.284440 | − | 0.252980i | ||||
\(841\) | −2.04848e7 | −0.998718 | ||||||||
\(842\) | −8.51711e6 | + | 1.19572e7i | −0.414011 | + | 0.581233i | ||||
\(843\) | 1.96140e7 | + | 1.96140e7i | 0.950598 | + | 0.950598i | ||||
\(844\) | −5.17802e6 | − | 1.49738e7i | −0.250211 | − | 0.723563i | ||||
\(845\) | 4.48535e6 | − | 9.50463e6i | 0.216100 | − | 0.457924i | ||||
\(846\) | −8.65740e6 | + | 1.45463e6i | −0.415874 | + | 0.0698756i | ||||
\(847\) | −5.99335e6 | − | 5.99335e6i | −0.287052 | − | 0.287052i | ||||
\(848\) | 690432. | − | 5.74854e6i | 0.0329709 | − | 0.274516i | ||||
\(849\) | − | 1.31504e7i | − | 0.626138i | ||||||
\(850\) | −2.22381e7 | − | 1.93235e7i | −1.05572 | − | 0.917357i | ||||
\(851\) | 9.59486e6 | 0.454166 | ||||||||
\(852\) | 8.03651e6 | + | 3.90654e6i | 0.379287 | + | 0.184371i | ||||
\(853\) | −5.42137e6 | + | 5.42137e6i | −0.255115 | + | 0.255115i | −0.823064 | − | 0.567949i | \(-0.807737\pi\) |
0.567949 | + | 0.823064i | \(0.307737\pi\) | |||||||
\(854\) | 2.03581e7 | − | 3.42059e6i | 0.955197 | − | 0.160493i | ||||
\(855\) | 2.53040e6 | + | 1.19413e6i | 0.118379 | + | 0.0558645i | ||||
\(856\) | −1.27262e7 | − | 2.33286e7i | −0.593630 | − | 1.08819i | ||||
\(857\) | 1.56889e7 | − | 1.56889e7i | 0.729692 | − | 0.729692i | −0.240866 | − | 0.970558i | \(-0.577432\pi\) |
0.970558 | + | 0.240866i | \(0.0774316\pi\) | |||||||
\(858\) | −7.67314e6 | − | 5.46556e6i | −0.355840 | − | 0.253464i | ||||
\(859\) | − | 2.32917e7i | − | 1.07701i | −0.842624 | − | 0.538503i | \(-0.818990\pi\) | ||
0.842624 | − | 0.538503i | \(-0.181010\pi\) | |||||||
\(860\) | 2.72715e7 | − | 2.19366e7i | 1.25737 | − | 1.01140i | ||||
\(861\) | − | 1.06333e7i | − | 0.488831i | ||||||
\(862\) | 1.06458e7 | − | 1.49457e7i | 0.487990 | − | 0.685093i | ||||
\(863\) | 1.82269e7 | − | 1.82269e7i | 0.833080 | − | 0.833080i | −0.154857 | − | 0.987937i | \(-0.549492\pi\) |
0.987937 | + | 0.154857i | \(0.0494917\pi\) | |||||||
\(864\) | −1.54707e7 | + | 1.69956e7i | −0.705060 | + | 0.774554i | ||||
\(865\) | −2.25285e7 | + | 8.08269e6i | −1.02374 | + | 0.367295i | ||||
\(866\) | 3.76360e6 | + | 2.23996e7i | 0.170533 | + | 1.01495i | ||||
\(867\) | −1.02204e7 | + | 1.02204e7i | −0.461763 | + | 0.461763i | ||||
\(868\) | 1.59028e6 | + | 773035.i | 0.0716431 | + | 0.0348257i | ||||
\(869\) | 8.76374e6 | 0.393677 | ||||||||
\(870\) | 147987. | − | 525588.i | 0.00662868 | − | 0.0235422i | ||||
\(871\) | 4.99509e7i | 2.23099i | ||||||||
\(872\) | 2.03899e6 | − | 6.93390e6i | 0.0908080 | − | 0.308806i | ||||
\(873\) | 1.07843e7 | + | 1.07843e7i | 0.478915 | + | 0.478915i | ||||
\(874\) | −1.42489e6 | − | 8.48042e6i | −0.0630962 | − | 0.375525i | ||||
\(875\) | −6.46105e6 | + | 1.08430e7i | −0.285288 | + | 0.478772i | ||||
\(876\) | −6.23859e6 | + | 2.15733e6i | −0.274679 | + | 0.0949855i | ||||
\(877\) | 9.59239e6 | + | 9.59239e6i | 0.421141 | + | 0.421141i | 0.885597 | − | 0.464455i | \(-0.153750\pi\) |
−0.464455 | + | 0.885597i | \(0.653750\pi\) | |||||||
\(878\) | 2.17587e7 | + | 1.54987e7i | 0.952570 | + | 0.678514i | ||||
\(879\) | 2.03045e7 | 0.886380 | ||||||||
\(880\) | 1.16706e7 | − | 2.67037e6i | 0.508028 | − | 0.116242i | ||||
\(881\) | −6.57569e6 | −0.285431 | −0.142716 | − | 0.989764i | \(-0.545583\pi\) | ||||
−0.142716 | + | 0.989764i | \(0.545583\pi\) | |||||||
\(882\) | 6.92068e6 | + | 4.92958e6i | 0.299555 | + | 0.213373i | ||||
\(883\) | −4.41888e6 | − | 4.41888e6i | −0.190726 | − | 0.190726i | 0.605284 | − | 0.796010i | \(-0.293060\pi\) |
−0.796010 | + | 0.605284i | \(0.793060\pi\) | |||||||
\(884\) | 3.76931e7 | − | 1.30344e7i | 1.62230 | − | 0.560998i | ||||
\(885\) | 695089. | − | 249382.i | 0.0298320 | − | 0.0107030i | ||||
\(886\) | 4.69889e6 | + | 2.79661e7i | 0.201099 | + | 1.19687i | ||||
\(887\) | 301239. | + | 301239.i | 0.0128559 | + | 0.0128559i | 0.713505 | − | 0.700650i | \(-0.247106\pi\) |
−0.700650 | + | 0.713505i | \(0.747106\pi\) | |||||||
\(888\) | −4.50607e6 | − | 1.32506e6i | −0.191763 | − | 0.0563901i | ||||
\(889\) | 1.69822e6i | 0.0720674i | ||||||||
\(890\) | 1.78605e7 | − | 1.00124e7i | 0.755821 | − | 0.423707i | ||||
\(891\) | −2.24653e6 | −0.0948022 | ||||||||
\(892\) | −210609. | − | 102377.i | −0.00886268 | − | 0.00430815i | ||||
\(893\) | −3.26821e6 | + | 3.26821e6i | −0.137145 | + | 0.137145i | ||||
\(894\) | −1.67767e6 | − | 9.98485e6i | −0.0702039 | − | 0.417828i | ||||
\(895\) | 6.25135e6 | − | 1.32469e7i | 0.260865 | − | 0.552784i | ||||
\(896\) | −5.28366e6 | + | 1.23068e7i | −0.219869 | + | 0.512122i | ||||
\(897\) | −2.21684e7 | + | 2.21684e7i | −0.919927 | + | 0.919927i | ||||
\(898\) | 1.82404e7 | − | 2.56079e7i | 0.754822 | − | 1.05970i | ||||
\(899\) | 124024.i | 0.00511809i | ||||||||
\(900\) | 1.10592e7 | + | 6.76402e6i | 0.455111 | + | 0.278355i | ||||
\(901\) | 9.42291e6i | 0.386699i | ||||||||
\(902\) | 1.33196e7 | + | 9.48755e6i | 0.545100 | + | 0.388274i | ||||
\(903\) | −1.06428e7 | + | 1.06428e7i | −0.434348 | + | 0.434348i | ||||
\(904\) | −3.12466e7 | + | 1.70457e7i | −1.27169 | + | 0.693735i | ||||
\(905\) | 7.71612e6 | − | 1.63508e7i | 0.313168 | − | 0.663615i | ||||
\(906\) | −1.94660e7 | + | 3.27071e6i | −0.787875 | + | 0.132380i | ||||
\(907\) | 8.72829e6 | − | 8.72829e6i | 0.352298 | − | 0.352298i | −0.508666 | − | 0.860964i | \(-0.669861\pi\) |
0.860964 | + | 0.508666i | \(0.169861\pi\) | |||||||
\(908\) | 3.91177e6 | + | 1.90151e6i | 0.157456 | + | 0.0765392i | ||||
\(909\) | −1.62934e7 | −0.654036 | ||||||||
\(910\) | −8.35566e6 | − | 1.49051e7i | −0.334486 | − | 0.596666i | ||||
\(911\) | 3.87384e7i | 1.54649i | 0.634110 | + | 0.773243i | \(0.281367\pi\) | ||||
−0.634110 | + | 0.773243i | \(0.718633\pi\) | |||||||
\(912\) | −501978. | + | 4.17947e6i | −0.0199847 | + | 0.166393i | ||||
\(913\) | −4.28689e6 | − | 4.28689e6i | −0.170202 | − | 0.170202i | ||||
\(914\) | −6.52645e6 | + | 1.09658e6i | −0.258411 | + | 0.0434185i | ||||
\(915\) | 2.82958e7 | − | 1.01519e7i | 1.11730 | − | 0.400860i | ||||
\(916\) | −5.45566e6 | − | 1.57767e7i | −0.214837 | − | 0.621266i | ||||
\(917\) | 7.96090e6 | + | 7.96090e6i | 0.312636 | + | 0.312636i | ||||
\(918\) | 2.17003e7 | − | 3.04652e7i | 0.849883 | − | 1.19316i | ||||
\(919\) | −2.08867e7 | −0.815794 | −0.407897 | − | 0.913028i | \(-0.633738\pi\) | ||||
−0.407897 | + | 0.913028i | \(0.633738\pi\) | |||||||
\(920\) | −2.32835e6 | − | 3.97740e7i | −0.0906940 | − | 1.54928i | ||||
\(921\) | −1.11561e7 | −0.433375 | ||||||||
\(922\) | 1.71599e7 | − | 2.40909e7i | 0.664795 | − | 0.933311i | ||||
\(923\) | 1.38691e7 | + | 1.38691e7i | 0.535852 | + | 0.535852i | ||||
\(924\) | −4.86589e6 | + | 1.68265e6i | −0.187492 | + | 0.0648355i | ||||
\(925\) | −733403. | + | 7.58007e6i | −0.0281831 | + | 0.291285i | ||||
\(926\) | 4.50833e7 | − | 7.57495e6i | 1.72778 | − | 0.290304i | ||||
\(927\) | −1.62416e7 | − | 1.62416e7i | −0.620767 | − | 0.620767i | ||||
\(928\) | −938368. | + | 44072.9i | −0.0357687 | + | 0.00167997i | ||||
\(929\) | − | 2.74270e7i | − | 1.04265i | −0.853358 | − | 0.521326i | \(-0.825438\pi\) | ||
0.853358 | − | 0.521326i | \(-0.174562\pi\) | |||||||
\(930\) | 2.47856e6 | + | 697877.i | 0.0939706 | + | 0.0264589i | ||||
\(931\) | 4.47353e6 | 0.169151 | ||||||||
\(932\) | −1.74994e7 | + | 3.59997e7i | −0.659909 | + | 1.35756i | ||||
\(933\) | −7.41478e6 | + | 7.41478e6i | −0.278865 | + | 0.278865i | ||||
\(934\) | −1.33214e7 | + | 2.23827e6i | −0.499668 | + | 0.0839548i | ||||
\(935\) | −1.83400e7 | + | 6.57996e6i | −0.686073 | + | 0.246147i | ||||
\(936\) | −1.54066e7 | + | 8.40463e6i | −0.574800 | + | 0.313566i | ||||
\(937\) | −3.37108e7 | + | 3.37108e7i | −1.25435 | + | 1.25435i | −0.300603 | + | 0.953749i | \(0.597188\pi\) |
−0.953749 | + | 0.300603i | \(0.902812\pi\) | |||||||
\(938\) | 2.22352e7 | + | 1.58381e7i | 0.825152 | + | 0.587754i | ||||
\(939\) | 1.26652e6i | 0.0468757i | ||||||||
\(940\) | −1.66861e7 | + | 1.34219e7i | −0.615934 | + | 0.495444i | ||||
\(941\) | − | 1.48625e7i | − | 0.547165i | −0.961849 | − | 0.273582i | \(-0.911791\pi\) | ||
0.961849 | − | 0.273582i | \(-0.0882086\pi\) | |||||||
\(942\) | −7.09304e6 | + | 9.95797e6i | −0.260438 | + | 0.365631i | ||||
\(943\) | 3.84817e7 | − | 3.84817e7i | 1.40921 | − | 1.40921i | ||||
\(944\) | −784835. | − | 999096.i | −0.0286648 | − | 0.0364903i | ||||
\(945\) | −1.44924e7 | − | 6.83914e6i | −0.527911 | − | 0.249128i | ||||
\(946\) | −3.83554e6 | − | 2.28277e7i | −0.139348 | − | 0.829345i | ||||
\(947\) | 2.08076e7 | − | 2.08076e7i | 0.753957 | − | 0.753957i | −0.221258 | − | 0.975215i | \(-0.571016\pi\) |
0.975215 | + | 0.221258i | \(0.0710163\pi\) | |||||||
\(948\) | −6.24151e6 | + | 1.28400e7i | −0.225563 | + | 0.464027i | ||||
\(949\) | −1.44894e7 | −0.522258 | ||||||||
\(950\) | 6.80856e6 | − | 477464.i | 0.244763 | − | 0.0171645i | ||||
\(951\) | 1.45334e7i | 0.521095i | ||||||||
\(952\) | 6.14928e6 | − | 2.09116e7i | 0.219903 | − | 0.747816i | ||||
\(953\) | −2.11871e7 | − | 2.11871e7i | −0.755681 | − | 0.755681i | 0.219852 | − | 0.975533i | \(-0.429443\pi\) |
−0.975533 | + | 0.219852i | \(0.929443\pi\) | |||||||
\(954\) | −687053. | − | 4.08909e6i | −0.0244410 | − | 0.145464i | ||||
\(955\) | −1.60393e7 | + | 3.39879e7i | −0.569085 | + | 1.20591i | ||||
\(956\) | −2.69934e6 | − | 7.80597e6i | −0.0955242 | − | 0.276237i | ||||
\(957\) | −255357. | − | 255357.i | −0.00901297 | − | 0.00901297i | ||||
\(958\) | 1.16496e7 | + | 8.29801e6i | 0.410108 | + | 0.292119i | ||||
\(959\) | −4.23619e6 | −0.148740 | ||||||||
\(960\) | −4.39936e6 | + | 1.90008e7i | −0.154068 | + | 0.665415i | ||||
\(961\) | 2.80443e7 | 0.979571 | ||||||||
\(962\) | −8.39718e6 | − | 5.98129e6i | −0.292547 | − | 0.208381i | ||||
\(963\) | −1.34569e7 | − | 1.34569e7i | −0.467607 | − | 0.467607i | ||||
\(964\) | 3.11139e6 | + | 8.99754e6i | 0.107836 | + | 0.311840i | ||||
\(965\) | −693789. | − | 1.93376e6i | −0.0239833 | − | 0.0668475i | ||||
\(966\) | 2.83906e6 | + | 1.68971e7i | 0.0978887 | + | 0.582597i | ||||
\(967\) | 1.10939e7 | + | 1.10939e7i | 0.381521 | + | 0.381521i | 0.871650 | − | 0.490129i | \(-0.163050\pi\) |
−0.490129 | + | 0.871650i | \(0.663050\pi\) | |||||||
\(968\) | −5.99079e6 | + | 2.03726e7i | −0.205492 | + | 0.698808i | ||||
\(969\) | − | 6.85092e6i | − | 0.234390i | ||||||
\(970\) | 3.58107e7 | + | 1.00831e7i | 1.22203 | + | 0.344083i | ||||
\(971\) | −5.51613e6 | −0.187753 | −0.0938765 | − | 0.995584i | \(-0.529926\pi\) | ||||
−0.0938765 | + | 0.995584i | \(0.529926\pi\) | |||||||
\(972\) | −1.18879e7 | + | 2.44556e7i | −0.403588 | + | 0.830258i | ||||
\(973\) | −1.79762e7 | + | 1.79762e7i | −0.608718 | + | 0.608718i | ||||
\(974\) | 819571. | + | 4.87778e6i | 0.0276815 | + | 0.164750i | ||||
\(975\) | −1.58189e7 | − | 1.92078e7i | −0.532922 | − | 0.647093i | ||||
\(976\) | −3.19492e7 | − | 4.06713e7i | −1.07358 | − | 1.36667i | ||||
\(977\) | 7.17940e6 | − | 7.17940e6i | 0.240631 | − | 0.240631i | −0.576480 | − | 0.817111i | \(-0.695574\pi\) |
0.817111 | + | 0.576480i | \(0.195574\pi\) | |||||||
\(978\) | 9.21711e6 | − | 1.29400e7i | 0.308140 | − | 0.432600i | ||||
\(979\) | − | 1.35421e7i | − | 0.451574i | ||||||
\(980\) | 2.06059e7 | + | 2.23400e6i | 0.685372 | + | 0.0743049i | ||||
\(981\) | − | 5.17596e6i | − | 0.171719i | ||||||
\(982\) | 1.57731e7 | + | 1.12352e7i | 0.521963 | + | 0.371793i | ||||
\(983\) | −2.42340e7 | + | 2.42340e7i | −0.799911 | + | 0.799911i | −0.983081 | − | 0.183170i | \(-0.941364\pi\) |
0.183170 | + | 0.983081i | \(0.441364\pi\) | |||||||
\(984\) | −2.33867e7 | + | 1.27579e7i | −0.769982 | + | 0.420042i | ||||
\(985\) | 5.97132e6 | + | 1.66436e7i | 0.196101 | + | 0.546582i | ||||
\(986\) | 1.50773e6 | − | 253331.i | 0.0493891 | − | 0.00829842i | ||||
\(987\) | 6.51183e6 | − | 6.51183e6i | 0.212770 | − | 0.212770i | ||||
\(988\) | −4.03954e6 | + | 8.31011e6i | −0.131656 | + | 0.270841i | ||||
\(989\) | −7.70328e7 | −2.50429 | ||||||||
\(990\) | 7.47891e6 | − | 4.19261e6i | 0.242522 | − | 0.135955i | ||||
\(991\) | 3.29661e7i | 1.06631i | 0.846017 | + | 0.533156i | \(0.178994\pi\) | ||||
−0.846017 | + | 0.533156i | \(0.821006\pi\) | |||||||
\(992\) | −207838. | − | 4.42514e6i | −0.00670573 | − | 0.142774i | ||||
\(993\) | −9.18774e6 | − | 9.18774e6i | −0.295689 | − | 0.295689i | ||||
\(994\) | 1.05712e7 | − | 1.77619e6i | 0.339359 | − | 0.0570196i | ||||
\(995\) | 4.89979e7 | + | 2.31227e7i | 1.56899 | + | 0.740425i | ||||
\(996\) | 9.33395e6 | − | 3.22772e6i | 0.298138 | − | 0.103097i | ||||
\(997\) | 1.80740e7 | + | 1.80740e7i | 0.575859 | + | 0.575859i | 0.933760 | − | 0.357901i | \(-0.116507\pi\) |
−0.357901 | + | 0.933760i | \(0.616507\pi\) | |||||||
\(998\) | 383750. | − | 538749.i | 0.0121961 | − | 0.0171222i | ||||
\(999\) | −9.66870e6 | −0.306517 |
(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 | 40.6.k.a.3.5 | ✓ | 56 | |
4.3 | odd | 2 | 160.6.o.a.143.19 | 56 | |||
5.2 | odd | 4 | inner | 40.6.k.a.27.20 | yes | 56 | |
8.3 | odd | 2 | inner | 40.6.k.a.3.20 | yes | 56 | |
8.5 | even | 2 | 160.6.o.a.143.20 | 56 | |||
20.7 | even | 4 | 160.6.o.a.47.20 | 56 | |||
40.27 | even | 4 | inner | 40.6.k.a.27.5 | yes | 56 | |
40.37 | odd | 4 | 160.6.o.a.47.19 | 56 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
40.6.k.a.3.5 | ✓ | 56 | 1.1 | even | 1 | trivial | |
40.6.k.a.3.20 | yes | 56 | 8.3 | odd | 2 | inner | |
40.6.k.a.27.5 | yes | 56 | 40.27 | even | 4 | inner | |
40.6.k.a.27.20 | yes | 56 | 5.2 | odd | 4 | inner | |
160.6.o.a.47.19 | 56 | 40.37 | odd | 4 | |||
160.6.o.a.47.20 | 56 | 20.7 | even | 4 | |||
160.6.o.a.143.19 | 56 | 4.3 | odd | 2 | |||
160.6.o.a.143.20 | 56 | 8.5 | even | 2 |