Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [17,6,Mod(2,17)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(17, base_ring=CyclotomicField(8))
chi = DirichletCharacter(H, H._module([7]))
N = Newforms(chi, 6, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("17.2");
S:= CuspForms(chi, 6);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 17 \) |
Weight: | \( k \) | \(=\) | \( 6 \) |
Character orbit: | \([\chi]\) | \(=\) | 17.d (of order \(8\), degree \(4\), 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: | \(2.72652493682\) |
Analytic rank: | \(0\) |
Dimension: | \(28\) |
Relative dimension: | \(7\) over \(\Q(\zeta_{8})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{8}]$ |
Embedding invariants
Embedding label | 15.1 | ||
Character | \(\chi\) | \(=\) | 17.15 |
Dual form | 17.6.d.a.8.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/17\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{3}{8}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −7.43061 | − | 7.43061i | −1.31356 | − | 1.31356i | −0.918773 | − | 0.394785i | \(-0.870819\pi\) |
−0.394785 | − | 0.918773i | \(-0.629181\pi\) | |||||||
\(3\) | −9.60499 | − | 23.1885i | −0.616160 | − | 1.48754i | −0.856129 | − | 0.516762i | \(-0.827137\pi\) |
0.239969 | − | 0.970781i | \(-0.422863\pi\) | |||||||
\(4\) | 78.4279i | 2.45087i | ||||||||
\(5\) | 51.4729 | − | 21.3208i | 0.920776 | − | 0.381398i | 0.128604 | − | 0.991696i | \(-0.458950\pi\) |
0.792172 | + | 0.610298i | \(0.208950\pi\) | |||||||
\(6\) | −100.934 | + | 243.676i | −1.14461 | + | 2.76334i | ||||
\(7\) | −84.7940 | − | 35.1228i | −0.654064 | − | 0.270922i | 0.0308745 | − | 0.999523i | \(-0.490171\pi\) |
−0.684938 | + | 0.728601i | \(0.740171\pi\) | |||||||
\(8\) | 344.988 | − | 344.988i | 1.90581 | − | 1.90581i | ||||
\(9\) | −273.623 | + | 273.623i | −1.12602 | + | 1.12602i | ||||
\(10\) | −540.902 | − | 224.049i | −1.71048 | − | 0.708505i | ||||
\(11\) | −15.0071 | + | 36.2302i | −0.0373950 | + | 0.0902795i | −0.941474 | − | 0.337087i | \(-0.890558\pi\) |
0.904079 | + | 0.427366i | \(0.140558\pi\) | |||||||
\(12\) | 1818.63 | − | 753.299i | 3.64578 | − | 1.51013i | ||||
\(13\) | − | 243.603i | − | 0.399783i | −0.979818 | − | 0.199891i | \(-0.935941\pi\) | ||
0.979818 | − | 0.199891i | \(-0.0640589\pi\) | |||||||
\(14\) | 369.087 | + | 891.055i | 0.503279 | + | 1.21502i | ||||
\(15\) | −988.794 | − | 988.794i | −1.13469 | − | 1.13469i | ||||
\(16\) | −2617.24 | −2.55590 | ||||||||
\(17\) | −952.062 | + | 716.544i | −0.798993 | + | 0.601341i | ||||
\(18\) | 4066.38 | 2.95819 | ||||||||
\(19\) | −438.677 | − | 438.677i | −0.278779 | − | 0.278779i | 0.553842 | − | 0.832622i | \(-0.313161\pi\) |
−0.832622 | + | 0.553842i | \(0.813161\pi\) | |||||||
\(20\) | 1672.15 | + | 4036.92i | 0.934758 | + | 2.25670i | ||||
\(21\) | 2303.60i | 1.13988i | ||||||||
\(22\) | 380.724 | − | 157.701i | 0.167708 | − | 0.0694669i | ||||
\(23\) | 1434.42 | − | 3462.99i | 0.565400 | − | 1.36500i | −0.339995 | − | 0.940427i | \(-0.610425\pi\) |
0.905395 | − | 0.424569i | \(-0.139575\pi\) | |||||||
\(24\) | −11313.3 | − | 4686.14i | −4.00925 | − | 1.66069i | ||||
\(25\) | −14.8207 | + | 14.8207i | −0.00474261 | + | 0.00474261i | ||||
\(26\) | −1810.12 | + | 1810.12i | −0.525138 | + | 0.525138i | ||||
\(27\) | 3338.26 | + | 1382.75i | 0.881274 | + | 0.365036i | ||||
\(28\) | 2754.61 | − | 6650.22i | 0.663995 | − | 1.60303i | ||||
\(29\) | 4221.23 | − | 1748.49i | 0.932061 | − | 0.386072i | 0.135601 | − | 0.990764i | \(-0.456703\pi\) |
0.796460 | + | 0.604691i | \(0.206703\pi\) | |||||||
\(30\) | 14694.7i | 2.98097i | ||||||||
\(31\) | −2551.13 | − | 6158.97i | −0.476791 | − | 1.15108i | −0.961105 | − | 0.276182i | \(-0.910931\pi\) |
0.484314 | − | 0.874894i | \(-0.339069\pi\) | |||||||
\(32\) | 8408.12 | + | 8408.12i | 1.45152 | + | 1.45152i | ||||
\(33\) | 984.267 | 0.157336 | ||||||||
\(34\) | 12398.8 | + | 1750.04i | 1.83942 | + | 0.259628i | ||||
\(35\) | −5113.44 | −0.705575 | ||||||||
\(36\) | −21459.7 | − | 21459.7i | −2.75974 | − | 2.75974i | ||||
\(37\) | 1168.05 | + | 2819.92i | 0.140267 | + | 0.338635i | 0.978365 | − | 0.206884i | \(-0.0663324\pi\) |
−0.838098 | + | 0.545519i | \(0.816332\pi\) | |||||||
\(38\) | 6519.27i | 0.732386i | ||||||||
\(39\) | −5648.79 | + | 2339.80i | −0.594694 | + | 0.246330i | ||||
\(40\) | 10402.1 | − | 25112.9i | 1.02795 | − | 2.48169i | ||||
\(41\) | 6258.10 | + | 2592.19i | 0.581410 | + | 0.240828i | 0.653950 | − | 0.756537i | \(-0.273111\pi\) |
−0.0725401 | + | 0.997365i | \(0.523111\pi\) | |||||||
\(42\) | 17117.1 | − | 17117.1i | 1.49730 | − | 1.49730i | ||||
\(43\) | −11336.6 | + | 11336.6i | −0.935000 | + | 0.935000i | −0.998013 | − | 0.0630125i | \(-0.979929\pi\) |
0.0630125 | + | 0.998013i | \(0.479929\pi\) | |||||||
\(44\) | −2841.46 | − | 1176.97i | −0.221264 | − | 0.0916504i | ||||
\(45\) | −8250.34 | + | 19918.1i | −0.607352 | + | 1.46628i | ||||
\(46\) | −36390.7 | + | 15073.5i | −2.53569 | + | 1.05032i | ||||
\(47\) | − | 21852.3i | − | 1.44295i | −0.692440 | − | 0.721476i | \(-0.743464\pi\) | ||
0.692440 | − | 0.721476i | \(-0.256536\pi\) | |||||||
\(48\) | 25138.6 | + | 60690.0i | 1.57485 | + | 3.80201i | ||||
\(49\) | −5927.94 | − | 5927.94i | −0.352706 | − | 0.352706i | ||||
\(50\) | 220.253 | 0.0124594 | ||||||||
\(51\) | 25760.1 | + | 15194.5i | 1.38683 | + | 0.818013i | ||||
\(52\) | 19105.3 | 0.979817 | ||||||||
\(53\) | −3362.14 | − | 3362.14i | −0.164409 | − | 0.164409i | 0.620108 | − | 0.784517i | \(-0.287089\pi\) |
−0.784517 | + | 0.620108i | \(0.787089\pi\) | |||||||
\(54\) | −14530.6 | − | 35080.0i | −0.678110 | − | 1.63710i | ||||
\(55\) | 2184.84i | 0.0973896i | ||||||||
\(56\) | −41369.8 | + | 17135.9i | −1.76284 | + | 0.730193i | ||||
\(57\) | −5958.77 | + | 14385.7i | −0.242923 | + | 0.586469i | ||||
\(58\) | −44358.7 | − | 18374.0i | −1.73145 | − | 0.717188i | ||||
\(59\) | 27576.9 | − | 27576.9i | 1.03137 | − | 1.03137i | 0.0318810 | − | 0.999492i | \(-0.489850\pi\) |
0.999492 | − | 0.0318810i | \(-0.0101498\pi\) | |||||||
\(60\) | 77549.1 | − | 77549.1i | 2.78098 | − | 2.78098i | ||||
\(61\) | 11271.3 | + | 4668.72i | 0.387836 | + | 0.160647i | 0.568077 | − | 0.822975i | \(-0.307688\pi\) |
−0.180241 | + | 0.983623i | \(0.557688\pi\) | |||||||
\(62\) | −26808.5 | + | 64721.4i | −0.885712 | + | 2.13830i | ||||
\(63\) | 32812.1 | − | 13591.2i | 1.04155 | − | 0.431426i | ||||
\(64\) | − | 41203.0i | − | 1.25742i | ||||||
\(65\) | −5193.81 | − | 12539.0i | −0.152476 | − | 0.368110i | ||||
\(66\) | −7313.70 | − | 7313.70i | −0.206670 | − | 0.206670i | ||||
\(67\) | 43024.2 | 1.17092 | 0.585458 | − | 0.810703i | \(-0.300915\pi\) | ||||
0.585458 | + | 0.810703i | \(0.300915\pi\) | |||||||
\(68\) | −56197.1 | − | 74668.2i | −1.47381 | − | 1.95823i | ||||
\(69\) | −94079.1 | −2.37887 | ||||||||
\(70\) | 37996.0 | + | 37996.0i | 0.926814 | + | 0.926814i | ||||
\(71\) | 22487.4 | + | 54289.3i | 0.529411 | + | 1.27811i | 0.931910 | + | 0.362690i | \(0.118142\pi\) |
−0.402499 | + | 0.915420i | \(0.631858\pi\) | |||||||
\(72\) | 188793.i | 4.29196i | ||||||||
\(73\) | 44118.7 | − | 18274.6i | 0.968982 | − | 0.401365i | 0.158649 | − | 0.987335i | \(-0.449286\pi\) |
0.810333 | + | 0.585970i | \(0.199286\pi\) | |||||||
\(74\) | 12274.4 | − | 29633.0i | 0.260568 | − | 0.629066i | ||||
\(75\) | 486.021 | + | 201.317i | 0.00997705 | + | 0.00413263i | ||||
\(76\) | 34404.5 | − | 34404.5i | 0.683253 | − | 0.683253i | ||||
\(77\) | 2545.02 | − | 2545.02i | 0.0489174 | − | 0.0489174i | ||||
\(78\) | 59360.1 | + | 24587.8i | 1.10473 | + | 0.457596i | ||||
\(79\) | 4943.94 | − | 11935.7i | 0.0891262 | − | 0.215170i | −0.873031 | − | 0.487665i | \(-0.837849\pi\) |
0.962157 | + | 0.272495i | \(0.0878489\pi\) | |||||||
\(80\) | −134717. | + | 55801.7i | −2.35341 | + | 0.974816i | ||||
\(81\) | 3341.15i | 0.0565827i | ||||||||
\(82\) | −27239.9 | − | 65763.0i | −0.447375 | − | 1.08006i | ||||
\(83\) | −46967.5 | − | 46967.5i | −0.748345 | − | 0.748345i | 0.225823 | − | 0.974168i | \(-0.427493\pi\) |
−0.974168 | + | 0.225823i | \(0.927493\pi\) | |||||||
\(84\) | −180666. | −2.79370 | ||||||||
\(85\) | −33728.1 | + | 57181.3i | −0.506343 | + | 0.858434i | ||||
\(86\) | 168476. | 2.45636 | ||||||||
\(87\) | −81089.8 | − | 81089.8i | −1.14860 | − | 1.14860i | ||||
\(88\) | 7321.73 | + | 17676.2i | 0.100788 | + | 0.243323i | ||||
\(89\) | − | 72990.1i | − | 0.976763i | −0.872630 | − | 0.488381i | \(-0.837587\pi\) | ||
0.872630 | − | 0.488381i | \(-0.162413\pi\) | |||||||
\(90\) | 209308. | − | 86698.4i | 2.72383 | − | 1.12825i | ||||
\(91\) | −8556.02 | + | 20656.1i | −0.108310 | + | 0.261483i | ||||
\(92\) | 271595. | + | 112498.i | 3.34543 | + | 1.38572i | ||||
\(93\) | −118314. | + | 118314.i | −1.41849 | + | 1.41849i | ||||
\(94\) | −162376. | + | 162376.i | −1.89540 | + | 1.89540i | ||||
\(95\) | −31932.9 | − | 13227.1i | −0.363019 | − | 0.150368i | ||||
\(96\) | 114212. | − | 275731.i | 1.26483 | − | 3.05357i | ||||
\(97\) | −77382.9 | + | 32053.0i | −0.835056 | + | 0.345892i | −0.758902 | − | 0.651205i | \(-0.774264\pi\) |
−0.0761538 | + | 0.997096i | \(0.524264\pi\) | |||||||
\(98\) | 88096.4i | 0.926601i | ||||||||
\(99\) | −5807.16 | − | 14019.7i | −0.0595492 | − | 0.143764i | ||||
\(100\) | −1162.35 | − | 1162.35i | −0.0116235 | − | 0.0116235i | ||||
\(101\) | 91093.1 | 0.888551 | 0.444275 | − | 0.895890i | \(-0.353461\pi\) | ||||
0.444275 | + | 0.895890i | \(0.353461\pi\) | |||||||
\(102\) | −78509.1 | − | 304318.i | −0.747171 | − | 2.89619i | ||||
\(103\) | 92993.8 | 0.863697 | 0.431848 | − | 0.901946i | \(-0.357862\pi\) | ||||
0.431848 | + | 0.901946i | \(0.357862\pi\) | |||||||
\(104\) | −84040.0 | − | 84040.0i | −0.761908 | − | 0.761908i | ||||
\(105\) | 49114.6 | + | 118573.i | 0.434747 | + | 1.04957i | ||||
\(106\) | 49965.5i | 0.431922i | ||||||||
\(107\) | −35532.5 | + | 14718.1i | −0.300031 | + | 0.124277i | −0.527621 | − | 0.849480i | \(-0.676916\pi\) |
0.227589 | + | 0.973757i | \(0.426916\pi\) | |||||||
\(108\) | −108446. | + | 261813.i | −0.894656 | + | 2.15989i | ||||
\(109\) | −94634.3 | − | 39198.8i | −0.762926 | − | 0.316014i | −0.0329227 | − | 0.999458i | \(-0.510482\pi\) |
−0.730003 | + | 0.683444i | \(0.760482\pi\) | |||||||
\(110\) | 16234.7 | − | 16234.7i | 0.127927 | − | 0.127927i | ||||
\(111\) | 54170.5 | − | 54170.5i | 0.417307 | − | 0.417307i | ||||
\(112\) | 221927. | + | 91925.0i | 1.67172 | + | 0.692450i | ||||
\(113\) | 73018.6 | − | 176282.i | 0.537944 | − | 1.29871i | −0.388211 | − | 0.921570i | \(-0.626907\pi\) |
0.926155 | − | 0.377142i | \(-0.123093\pi\) | |||||||
\(114\) | 151172. | − | 62617.5i | 1.08946 | − | 0.451267i | ||||
\(115\) | − | 208833.i | − | 1.47250i | ||||||
\(116\) | 137131. | + | 331063.i | 0.946214 | + | 2.28436i | ||||
\(117\) | 66655.5 | + | 66655.5i | 0.450165 | + | 0.450165i | ||||
\(118\) | −409827. | −2.70954 | ||||||||
\(119\) | 105896. | − | 27319.5i | 0.685508 | − | 0.176850i | ||||
\(120\) | −682244. | −4.32500 | ||||||||
\(121\) | 112793. | + | 112793.i | 0.700355 | + | 0.700355i | ||||
\(122\) | −49061.1 | − | 118444.i | −0.298426 | − | 0.720465i | ||||
\(123\) | − | 170014.i | − | 1.01326i | ||||||
\(124\) | 483035. | − | 200080.i | 2.82114 | − | 1.16855i | ||||
\(125\) | −67074.4 | + | 161932.i | −0.383956 | + | 0.926952i | ||||
\(126\) | −344804. | − | 142823.i | −1.93485 | − | 0.801440i | ||||
\(127\) | −149798. | + | 149798.i | −0.824134 | + | 0.824134i | −0.986698 | − | 0.162564i | \(-0.948024\pi\) |
0.162564 | + | 0.986698i | \(0.448024\pi\) | |||||||
\(128\) | −37103.9 | + | 37103.9i | −0.200168 | + | 0.200168i | ||||
\(129\) | 371767. | + | 153991.i | 1.96696 | + | 0.814743i | ||||
\(130\) | −54579.0 | + | 131765.i | −0.283248 | + | 0.683821i | ||||
\(131\) | −67697.4 | + | 28041.2i | −0.344662 | + | 0.142764i | −0.548298 | − | 0.836283i | \(-0.684724\pi\) |
0.203636 | + | 0.979047i | \(0.434724\pi\) | |||||||
\(132\) | 77194.0i | 0.385610i | ||||||||
\(133\) | 21789.6 | + | 52604.7i | 0.106812 | + | 0.257867i | ||||
\(134\) | −319696. | − | 319696.i | −1.53807 | − | 1.53807i | ||||
\(135\) | 201312. | 0.950680 | ||||||||
\(136\) | −81250.7 | + | 575648.i | −0.376686 | + | 2.66876i | ||||
\(137\) | 44705.6 | 0.203498 | 0.101749 | − | 0.994810i | \(-0.467556\pi\) | ||||
0.101749 | + | 0.994810i | \(0.467556\pi\) | |||||||
\(138\) | 699065. | + | 699065.i | 3.12478 | + | 3.12478i | ||||
\(139\) | 42471.7 | + | 102536.i | 0.186450 | + | 0.450131i | 0.989271 | − | 0.146089i | \(-0.0466686\pi\) |
−0.802821 | + | 0.596220i | \(0.796669\pi\) | |||||||
\(140\) | − | 401037.i | − | 1.72927i | ||||||
\(141\) | −506721. | + | 209891.i | −2.14645 | + | 0.889089i | ||||
\(142\) | 236308. | − | 570498.i | 0.983461 | − | 2.37429i | ||||
\(143\) | 8825.79 | + | 3655.76i | 0.0360922 | + | 0.0149499i | ||||
\(144\) | 716140. | − | 716140.i | 2.87800 | − | 2.87800i | ||||
\(145\) | 180000. | − | 180000.i | 0.710972 | − | 0.710972i | ||||
\(146\) | −463620. | − | 192038.i | −1.80003 | − | 0.745598i | ||||
\(147\) | −80522.1 | + | 194398.i | −0.307342 | + | 0.741989i | ||||
\(148\) | −221160. | + | 91607.5i | −0.829951 | + | 0.343777i | ||||
\(149\) | − | 199107.i | − | 0.734720i | −0.930079 | − | 0.367360i | \(-0.880262\pi\) | ||
0.930079 | − | 0.367360i | \(-0.119738\pi\) | |||||||
\(150\) | −2115.53 | − | 5107.34i | −0.00767699 | − | 0.0185339i | ||||
\(151\) | 6242.42 | + | 6242.42i | 0.0222798 | + | 0.0222798i | 0.718159 | − | 0.695879i | \(-0.244985\pi\) |
−0.695879 | + | 0.718159i | \(0.744985\pi\) | |||||||
\(152\) | −302676. | −1.06260 | ||||||||
\(153\) | 64443.2 | − | 456570.i | 0.222561 | − | 1.57681i | ||||
\(154\) | −37822.0 | −0.128512 | ||||||||
\(155\) | −262628. | − | 262628.i | −0.878036 | − | 0.878036i | ||||
\(156\) | −183506. | − | 443022.i | −0.603724 | − | 1.45752i | ||||
\(157\) | − | 68893.6i | − | 0.223064i | −0.993761 | − | 0.111532i | \(-0.964424\pi\) | ||
0.993761 | − | 0.111532i | \(-0.0355758\pi\) | |||||||
\(158\) | −125426. | + | 51953.2i | −0.399710 | + | 0.165565i | ||||
\(159\) | −45669.7 | + | 110256.i | −0.143263 | + | 0.345868i | ||||
\(160\) | 612058. | + | 253523.i | 1.89013 | + | 0.782919i | ||||
\(161\) | −243260. | + | 243260.i | −0.739615 | + | 0.739615i | ||||
\(162\) | 24826.8 | − | 24826.8i | 0.0743247 | − | 0.0743247i | ||||
\(163\) | 154208. | + | 63875.2i | 0.454610 | + | 0.188306i | 0.598225 | − | 0.801328i | \(-0.295873\pi\) |
−0.143615 | + | 0.989634i | \(0.545873\pi\) | |||||||
\(164\) | −203300. | + | 490810.i | −0.590239 | + | 1.42496i | ||||
\(165\) | 50663.1 | − | 20985.4i | 0.144871 | − | 0.0600076i | ||||
\(166\) | 697994.i | 1.96599i | ||||||||
\(167\) | 219738. | + | 530495.i | 0.609697 | + | 1.47194i | 0.863331 | + | 0.504638i | \(0.168374\pi\) |
−0.253634 | + | 0.967300i | \(0.581626\pi\) | |||||||
\(168\) | 794713. | + | 794713.i | 2.17239 | + | 2.17239i | ||||
\(169\) | 311951. | 0.840174 | ||||||||
\(170\) | 675513. | − | 174272.i | 1.79272 | − | 0.462492i | ||||
\(171\) | 240065. | 0.627824 | ||||||||
\(172\) | −889106. | − | 889106.i | −2.29157 | − | 2.29157i | ||||
\(173\) | −83228.7 | − | 200932.i | −0.211426 | − | 0.510427i | 0.782217 | − | 0.623006i | \(-0.214089\pi\) |
−0.993643 | + | 0.112579i | \(0.964089\pi\) | |||||||
\(174\) | 1.20509e6i | 3.01750i | ||||||||
\(175\) | 1777.25 | − | 736.160i | 0.00438685 | − | 0.00181709i | ||||
\(176\) | 39277.1 | − | 94823.4i | 0.0955780 | − | 0.230746i | ||||
\(177\) | −904343. | − | 374591.i | −2.16970 | − | 0.898720i | ||||
\(178\) | −542361. | + | 542361.i | −1.28304 | + | 1.28304i | ||||
\(179\) | −444288. | + | 444288.i | −1.03641 | + | 1.03641i | −0.0370999 | + | 0.999312i | \(0.511812\pi\) |
−0.999312 | + | 0.0370999i | \(0.988188\pi\) | |||||||
\(180\) | −1.56213e6 | − | 647057.i | −3.59366 | − | 1.48854i | ||||
\(181\) | 26414.0 | − | 63769.0i | 0.0599291 | − | 0.144682i | −0.891078 | − | 0.453849i | \(-0.850050\pi\) |
0.951008 | + | 0.309168i | \(0.100050\pi\) | |||||||
\(182\) | 217064. | − | 89910.7i | 0.485745 | − | 0.201202i | ||||
\(183\) | − | 306207.i | − | 0.675908i | ||||||
\(184\) | −699833. | − | 1.68955e6i | −1.52388 | − | 3.67896i | ||||
\(185\) | 120246. | + | 120246.i | 0.258309 | + | 0.258309i | ||||
\(186\) | 1.75829e6 | 3.72655 | ||||||||
\(187\) | −11672.9 | − | 45246.6i | −0.0244104 | − | 0.0946198i | ||||
\(188\) | 1.71383e6 | 3.53649 | ||||||||
\(189\) | −234498. | − | 234498.i | −0.477513 | − | 0.477513i | ||||
\(190\) | 138996. | + | 335566.i | 0.279331 | + | 0.674364i | ||||
\(191\) | − | 357545.i | − | 0.709164i | −0.935025 | − | 0.354582i | \(-0.884623\pi\) | ||
0.935025 | − | 0.354582i | \(-0.115377\pi\) | |||||||
\(192\) | −955436. | + | 395755.i | −1.87046 | + | 0.774770i | ||||
\(193\) | 53992.9 | − | 130350.i | 0.104338 | − | 0.251895i | −0.863085 | − | 0.505058i | \(-0.831471\pi\) |
0.967424 | + | 0.253163i | \(0.0814710\pi\) | |||||||
\(194\) | 813176. | + | 336828.i | 1.55124 | + | 0.642546i | ||||
\(195\) | −240873. | + | 240873.i | −0.453630 | + | 0.453630i | ||||
\(196\) | 464916. | − | 464916.i | 0.864438 | − | 0.864438i | ||||
\(197\) | 643418. | + | 266512.i | 1.18121 | + | 0.489274i | 0.884883 | − | 0.465812i | \(-0.154238\pi\) |
0.296328 | + | 0.955086i | \(0.404238\pi\) | |||||||
\(198\) | −61024.4 | + | 147326.i | −0.110622 | + | 0.267064i | ||||
\(199\) | 183030. | − | 75813.4i | 0.327634 | − | 0.135710i | −0.212803 | − | 0.977095i | \(-0.568259\pi\) |
0.540436 | + | 0.841385i | \(0.318259\pi\) | |||||||
\(200\) | 10225.9i | 0.0180770i | ||||||||
\(201\) | −413247. | − | 997666.i | −0.721472 | − | 1.74179i | ||||
\(202\) | −676878. | − | 676878.i | −1.16716 | − | 1.16716i | ||||
\(203\) | −419347. | −0.714223 | ||||||||
\(204\) | −1.19167e6 | + | 2.02031e6i | −2.00485 | + | 3.39894i | ||||
\(205\) | 377390. | 0.627200 | ||||||||
\(206\) | −691001. | − | 691001.i | −1.13452 | − | 1.13452i | ||||
\(207\) | 555065. | + | 1.34005e6i | 0.900364 | + | 2.17367i | ||||
\(208\) | 637568.i | 1.02181i | ||||||||
\(209\) | 22476.6 | − | 9310.12i | 0.0355930 | − | 0.0147431i | ||||
\(210\) | 516119. | − | 1.24602e6i | 0.807610 | − | 1.94974i | ||||
\(211\) | −112409. | − | 46561.5i | −0.173819 | − | 0.0719981i | 0.294077 | − | 0.955782i | \(-0.404988\pi\) |
−0.467896 | + | 0.883784i | \(0.654988\pi\) | |||||||
\(212\) | 263686. | − | 263686.i | 0.402946 | − | 0.402946i | ||||
\(213\) | 1.04290e6 | − | 1.04290e6i | 1.57504 | − | 1.57504i | ||||
\(214\) | 373392. | + | 154664.i | 0.557354 | + | 0.230864i | ||||
\(215\) | −341823. | + | 825234.i | −0.504319 | + | 1.21753i | ||||
\(216\) | 1.62869e6 | − | 674627.i | 2.37523 | − | 0.983850i | ||||
\(217\) | 611847.i | 0.882050i | ||||||||
\(218\) | 411920. | + | 994462.i | 0.587045 | + | 1.41725i | ||||
\(219\) | −847519. | − | 847519.i | −1.19410 | − | 1.19410i | ||||
\(220\) | −171352. | −0.238690 | ||||||||
\(221\) | 174552. | + | 231925.i | 0.240406 | + | 0.319424i | ||||
\(222\) | −805040. | −1.09631 | ||||||||
\(223\) | 400579. | + | 400579.i | 0.539419 | + | 0.539419i | 0.923358 | − | 0.383939i | \(-0.125433\pi\) |
−0.383939 | + | 0.923358i | \(0.625433\pi\) | |||||||
\(224\) | −417641. | − | 1.00827e6i | −0.556139 | − | 1.34264i | ||||
\(225\) | − | 8110.56i | − | 0.0106806i | ||||||
\(226\) | −1.85246e6 | + | 767314.i | −2.41256 | + | 0.999314i | ||||
\(227\) | −351669. | + | 849004.i | −0.452970 | + | 1.09357i | 0.518218 | + | 0.855249i | \(0.326596\pi\) |
−0.971187 | + | 0.238317i | \(0.923404\pi\) | |||||||
\(228\) | −1.12824e6 | − | 467334.i | −1.43736 | − | 0.595374i | ||||
\(229\) | 1.02881e6 | − | 1.02881e6i | 1.29642 | − | 1.29642i | 0.365676 | − | 0.930742i | \(-0.380838\pi\) |
0.930742 | − | 0.365676i | \(-0.119162\pi\) | |||||||
\(230\) | −1.55176e6 | + | 1.55176e6i | −1.93421 | + | 1.93421i | ||||
\(231\) | −83459.9 | − | 34570.2i | −0.102908 | − | 0.0426258i | ||||
\(232\) | 853066. | − | 2.05948e6i | 1.04055 | − | 2.51211i | ||||
\(233\) | −8404.43 | + | 3481.23i | −0.0101419 | + | 0.00420090i | −0.387749 | − | 0.921765i | \(-0.626747\pi\) |
0.377607 | + | 0.925966i | \(0.376747\pi\) | |||||||
\(234\) | − | 990582.i | − | 1.18263i | ||||||
\(235\) | −465907. | − | 1.12480e6i | −0.550339 | − | 1.32864i | ||||
\(236\) | 2.16280e6 | + | 2.16280e6i | 2.52776 | + | 2.52776i | ||||
\(237\) | −324258. | −0.374990 | ||||||||
\(238\) | −989874. | − | 583872.i | −1.13276 | − | 0.668152i | ||||
\(239\) | −725823. | −0.821932 | −0.410966 | − | 0.911651i | \(-0.634808\pi\) | ||||
−0.410966 | + | 0.911651i | \(0.634808\pi\) | |||||||
\(240\) | 2.58792e6 | + | 2.58792e6i | 2.90016 | + | 2.90016i | ||||
\(241\) | 410666. | + | 991435.i | 0.455455 | + | 1.09957i | 0.970218 | + | 0.242234i | \(0.0778801\pi\) |
−0.514762 | + | 0.857333i | \(0.672120\pi\) | |||||||
\(242\) | − | 1.67624e6i | − | 1.83991i | ||||||
\(243\) | 888674. | − | 368101.i | 0.965444 | − | 0.399900i | ||||
\(244\) | −366158. | + | 883983.i | −0.393726 | + | 0.950538i | ||||
\(245\) | −431517. | − | 178740.i | −0.459285 | − | 0.190242i | ||||
\(246\) | −1.26331e6 | + | 1.26331e6i | −1.33098 | + | 1.33098i | ||||
\(247\) | −106863. | + | 106863.i | −0.111451 | + | 0.111451i | ||||
\(248\) | −3.00488e6 | − | 1.24466e6i | −3.10240 | − | 1.28506i | ||||
\(249\) | −637983. | + | 1.54023e6i | −0.652095 | + | 1.57430i | ||||
\(250\) | 1.70166e6 | − | 704849.i | 1.72195 | − | 0.713257i | ||||
\(251\) | − | 1.39837e6i | − | 1.40099i | −0.713655 | − | 0.700497i | \(-0.752962\pi\) | ||
0.713655 | − | 0.700497i | \(-0.247038\pi\) | |||||||
\(252\) | 1.06593e6 | + | 2.57338e6i | 1.05737 | + | 2.55272i | ||||
\(253\) | 103939. | + | 103939.i | 0.102088 | + | 0.102088i | ||||
\(254\) | 2.22619e6 | 2.16510 | ||||||||
\(255\) | 1.64991e6 | + | 232879.i | 1.58895 | + | 0.224274i | ||||
\(256\) | −767088. | −0.731552 | ||||||||
\(257\) | −148939. | − | 148939.i | −0.140662 | − | 0.140662i | 0.633270 | − | 0.773931i | \(-0.281712\pi\) |
−0.773931 | + | 0.633270i | \(0.781712\pi\) | |||||||
\(258\) | −1.61821e6 | − | 3.90670e6i | −1.51351 | − | 3.65393i | ||||
\(259\) | − | 280137.i | − | 0.259490i | ||||||
\(260\) | 983405. | − | 407340.i | 0.902192 | − | 0.373700i | ||||
\(261\) | −676600. | + | 1.63346e6i | −0.614796 | + | 1.48425i | ||||
\(262\) | 711396. | + | 294670.i | 0.640262 | + | 0.265205i | ||||
\(263\) | 217280. | − | 217280.i | 0.193701 | − | 0.193701i | −0.603592 | − | 0.797293i | \(-0.706265\pi\) |
0.797293 | + | 0.603592i | \(0.206265\pi\) | |||||||
\(264\) | 339560. | − | 339560.i | 0.299852 | − | 0.299852i | ||||
\(265\) | −244743. | − | 101376.i | −0.214089 | − | 0.0886787i | ||||
\(266\) | 228975. | − | 552795.i | 0.198420 | − | 0.479027i | ||||
\(267\) | −1.69253e6 | + | 701069.i | −1.45298 | + | 0.601842i | ||||
\(268\) | 3.37430e6i | 2.86977i | ||||||||
\(269\) | −9895.40 | − | 23889.6i | −0.00833782 | − | 0.0201293i | 0.919656 | − | 0.392725i | \(-0.128468\pi\) |
−0.927994 | + | 0.372596i | \(0.878468\pi\) | |||||||
\(270\) | −1.49587e6 | − | 1.49587e6i | −1.24877 | − | 1.24877i | ||||
\(271\) | −1.25525e6 | −1.03827 | −0.519133 | − | 0.854694i | \(-0.673745\pi\) | ||||
−0.519133 | + | 0.854694i | \(0.673745\pi\) | |||||||
\(272\) | 2.49178e6 | − | 1.87537e6i | 2.04215 | − | 1.53697i | ||||
\(273\) | 561164. | 0.455704 | ||||||||
\(274\) | −332190. | − | 332190.i | −0.267307 | − | 0.267307i | ||||
\(275\) | −314.542 | − | 759.370i | −0.000250811 | − | 0.000605511i | ||||
\(276\) | − | 7.37843e6i | − | 5.83030i | ||||||
\(277\) | 1.14355e6 | − | 473673.i | 0.895478 | − | 0.370919i | 0.112999 | − | 0.993595i | \(-0.463954\pi\) |
0.782480 | + | 0.622676i | \(0.213954\pi\) | |||||||
\(278\) | 446313. | − | 1.07749e6i | 0.346360 | − | 0.836187i | ||||
\(279\) | 2.38329e6 | + | 987190.i | 1.83302 | + | 0.759260i | ||||
\(280\) | −1.76407e6 | + | 1.76407e6i | −1.34469 | + | 1.34469i | ||||
\(281\) | −888674. | + | 888674.i | −0.671393 | + | 0.671393i | −0.958037 | − | 0.286644i | \(-0.907460\pi\) |
0.286644 | + | 0.958037i | \(0.407460\pi\) | |||||||
\(282\) | 5.32486e6 | + | 2.20563e6i | 3.98736 | + | 1.65162i | ||||
\(283\) | −7834.84 | + | 18915.0i | −0.00581519 | + | 0.0140391i | −0.926760 | − | 0.375653i | \(-0.877419\pi\) |
0.920945 | + | 0.389692i | \(0.127419\pi\) | |||||||
\(284\) | −4.25780e6 | + | 1.76364e6i | −3.13249 | + | 1.29752i | ||||
\(285\) | 867522.i | 0.632657i | ||||||||
\(286\) | −38416.5 | − | 92745.5i | −0.0277717 | − | 0.0670468i | ||||
\(287\) | −439604. | − | 439604.i | −0.315034 | − | 0.315034i | ||||
\(288\) | −4.60132e6 | −3.26889 | ||||||||
\(289\) | 392986. | − | 1.36439e6i | 0.276779 | − | 0.960934i | ||||
\(290\) | −2.67502e6 | −1.86781 | ||||||||
\(291\) | 1.48652e6 | + | 1.48652e6i | 1.02906 | + | 1.02906i | ||||
\(292\) | 1.43324e6 | + | 3.46014e6i | 0.983696 | + | 2.37485i | ||||
\(293\) | 385468.i | 0.262313i | 0.991362 | + | 0.131156i | \(0.0418690\pi\) | ||||
−0.991362 | + | 0.131156i | \(0.958131\pi\) | |||||||
\(294\) | 2.04282e6 | − | 846164.i | 1.37836 | − | 0.570935i | ||||
\(295\) | 831503. | − | 2.00743e6i | 0.556300 | − | 1.34303i | ||||
\(296\) | 1.37580e6 | + | 569874.i | 0.912695 | + | 0.378050i | ||||
\(297\) | −100195. | + | 100195.i | −0.0659105 | + | 0.0659105i | ||||
\(298\) | −1.47949e6 | + | 1.47949e6i | −0.965098 | + | 0.965098i | ||||
\(299\) | −843594. | − | 349428.i | −0.545702 | − | 0.226037i | ||||
\(300\) | −15788.8 | + | 38117.6i | −0.0101285 | + | 0.0244525i | ||||
\(301\) | 1.35945e6 | − | 563102.i | 0.864862 | − | 0.358237i | ||||
\(302\) | − | 92770.0i | − | 0.0585316i | ||||||
\(303\) | −874949. | − | 2.11231e6i | −0.547490 | − | 1.32176i | ||||
\(304\) | 1.14812e6 | + | 1.14812e6i | 0.712533 | + | 0.712533i | ||||
\(305\) | 679707. | 0.418381 | ||||||||
\(306\) | −3.87144e6 | + | 2.91374e6i | −2.36357 | + | 1.77888i | ||||
\(307\) | −378716. | −0.229333 | −0.114667 | − | 0.993404i | \(-0.536580\pi\) | ||||
−0.114667 | + | 0.993404i | \(0.536580\pi\) | |||||||
\(308\) | 199600. | + | 199600.i | 0.119890 | + | 0.119890i | ||||
\(309\) | −893205. | − | 2.15639e6i | −0.532175 | − | 1.28479i | ||||
\(310\) | 3.90298e6i | 2.30670i | ||||||||
\(311\) | −260336. | + | 107835.i | −0.152628 | + | 0.0632205i | −0.457690 | − | 0.889112i | \(-0.651323\pi\) |
0.305062 | + | 0.952333i | \(0.401323\pi\) | |||||||
\(312\) | −1.14156e6 | + | 2.75596e6i | −0.663914 | + | 1.60283i | ||||
\(313\) | −1.31496e6 | − | 544674.i | −0.758667 | − | 0.314250i | −0.0303947 | − | 0.999538i | \(-0.509676\pi\) |
−0.728272 | + | 0.685288i | \(0.759676\pi\) | |||||||
\(314\) | −511922. | + | 511922.i | −0.293008 | + | 0.293008i | ||||
\(315\) | 1.39916e6 | − | 1.39916e6i | 0.794494 | − | 0.794494i | ||||
\(316\) | 936094. | + | 387743.i | 0.527353 | + | 0.218437i | ||||
\(317\) | 618670. | − | 1.49360e6i | 0.345789 | − | 0.834808i | −0.651319 | − | 0.758804i | \(-0.725784\pi\) |
0.997108 | − | 0.0760035i | \(-0.0242160\pi\) | |||||||
\(318\) | 1.15862e6 | − | 479918.i | 0.642503 | − | 0.266133i | ||||
\(319\) | 179176.i | 0.0985832i | ||||||||
\(320\) | −878481. | − | 2.12084e6i | −0.479576 | − | 1.15780i | ||||
\(321\) | 682579. | + | 682579.i | 0.369735 | + | 0.369735i | ||||
\(322\) | 3.61514e6 | 1.94306 | ||||||||
\(323\) | 731979. | + | 103316.i | 0.390384 | + | 0.0551013i | ||||
\(324\) | −262040. | −0.138677 | ||||||||
\(325\) | 3610.36 | + | 3610.36i | 0.00189601 | + | 0.00189601i | ||||
\(326\) | −671231. | − | 1.62049e6i | −0.349806 | − | 0.844507i | ||||
\(327\) | 2.57093e6i | 1.32960i | ||||||||
\(328\) | 3.05324e6 | − | 1.26469e6i | 1.56703 | − | 0.649084i | ||||
\(329\) | −767513. | + | 1.85294e6i | −0.390927 | + | 0.943782i | ||||
\(330\) | −532392. | − | 220524.i | −0.269120 | − | 0.111473i | ||||
\(331\) | −1.66075e6 | + | 1.66075e6i | −0.833174 | + | 0.833174i | −0.987950 | − | 0.154776i | \(-0.950534\pi\) |
0.154776 | + | 0.987950i | \(0.450534\pi\) | |||||||
\(332\) | 3.68356e6 | − | 3.68356e6i | 1.83410 | − | 1.83410i | ||||
\(333\) | −1.09120e6 | − | 451990.i | −0.539255 | − | 0.223367i | ||||
\(334\) | 2.30911e6 | − | 5.57468e6i | 1.13261 | − | 2.73435i | ||||
\(335\) | 2.21458e6 | − | 917310.i | 1.07815 | − | 0.446585i | ||||
\(336\) | − | 6.02908e6i | − | 2.91342i | ||||||
\(337\) | −277369. | − | 669629.i | −0.133040 | − | 0.321188i | 0.843295 | − | 0.537452i | \(-0.180613\pi\) |
−0.976335 | + | 0.216264i | \(0.930613\pi\) | |||||||
\(338\) | −2.31798e6 | − | 2.31798e6i | −1.10362 | − | 1.10362i | ||||
\(339\) | −4.78907e6 | −2.26335 | ||||||||
\(340\) | −4.48461e6 | − | 2.64523e6i | −2.10391 | − | 1.24098i | ||||
\(341\) | 261426. | 0.121748 | ||||||||
\(342\) | −1.78383e6 | − | 1.78383e6i | −0.824683 | − | 0.824683i | ||||
\(343\) | 884757. | + | 2.13599e6i | 0.406058 | + | 0.980312i | ||||
\(344\) | 7.82198e6i | 3.56386i | ||||||||
\(345\) | −4.84253e6 | + | 2.00584e6i | −2.19040 | + | 0.907295i | ||||
\(346\) | −874606. | + | 2.11149e6i | −0.392755 | + | 0.948195i | ||||
\(347\) | −913240. | − | 378277.i | −0.407157 | − | 0.168650i | 0.169699 | − | 0.985496i | \(-0.445720\pi\) |
−0.576856 | + | 0.816846i | \(0.695720\pi\) | |||||||
\(348\) | 6.35970e6 | − | 6.35970e6i | 2.81507 | − | 2.81507i | ||||
\(349\) | −2.12230e6 | + | 2.12230e6i | −0.932701 | + | 0.932701i | −0.997874 | − | 0.0651730i | \(-0.979240\pi\) |
0.0651730 | + | 0.997874i | \(0.479240\pi\) | |||||||
\(350\) | −18676.1 | − | 7735.91i | −0.00814924 | − | 0.00337552i | ||||
\(351\) | 336843. | − | 813211.i | 0.145935 | − | 0.352318i | ||||
\(352\) | −430809. | + | 178447.i | −0.185322 | + | 0.0767631i | ||||
\(353\) | 755428.i | 0.322668i | 0.986900 | + | 0.161334i | \(0.0515797\pi\) | ||||
−0.986900 | + | 0.161334i | \(0.948420\pi\) | |||||||
\(354\) | 3.93638e6 | + | 9.50326e6i | 1.66951 | + | 4.03055i | ||||
\(355\) | 2.31498e6 | + | 2.31498e6i | 0.974938 | + | 0.974938i | ||||
\(356\) | 5.72446e6 | 2.39392 | ||||||||
\(357\) | −1.65063e6 | − | 2.19317e6i | −0.685455 | − | 0.910755i | ||||
\(358\) | 6.60266e6 | 2.72277 | ||||||||
\(359\) | 408509. | + | 408509.i | 0.167288 | + | 0.167288i | 0.785786 | − | 0.618498i | \(-0.212259\pi\) |
−0.618498 | + | 0.785786i | \(0.712259\pi\) | |||||||
\(360\) | 4.02523e6 | + | 9.71776e6i | 1.63694 | + | 3.95193i | ||||
\(361\) | − | 2.09122e6i | − | 0.844564i | ||||||
\(362\) | −670115. | + | 277571.i | −0.268768 | + | 0.111327i | ||||
\(363\) | 1.53212e6 | − | 3.69887e6i | 0.610277 | − | 1.47334i | ||||
\(364\) | −1.62001e6 | − | 671031.i | −0.640862 | − | 0.265454i | ||||
\(365\) | 1.88129e6 | − | 1.88129e6i | 0.739135 | − | 0.739135i | ||||
\(366\) | −2.27530e6 | + | 2.27530e6i | −0.887844 | + | 0.887844i | ||||
\(367\) | −1.48938e6 | − | 616922.i | −0.577219 | − | 0.239092i | 0.0749223 | − | 0.997189i | \(-0.476129\pi\) |
−0.652141 | + | 0.758097i | \(0.726129\pi\) | |||||||
\(368\) | −3.75422e6 | + | 9.06349e6i | −1.44511 | + | 3.48880i | ||||
\(369\) | −2.42165e6 | + | 1.00308e6i | −0.925859 | + | 0.383503i | ||||
\(370\) | − | 1.78700e6i | − | 0.678609i | ||||||
\(371\) | 167001. | + | 403177.i | 0.0629920 | + | 0.152076i | ||||
\(372\) | −9.27910e6 | − | 9.27910e6i | −3.47655 | − | 3.47655i | ||||
\(373\) | −4.75990e6 | −1.77144 | −0.885719 | − | 0.464222i | \(-0.846334\pi\) | ||||
−0.885719 | + | 0.464222i | \(0.846334\pi\) | |||||||
\(374\) | −249473. | + | 422947.i | −0.0922242 | + | 0.156353i | ||||
\(375\) | 4.39920e6 | 1.61546 | ||||||||
\(376\) | −7.53876e6 | − | 7.53876e6i | −2.74999 | − | 2.74999i | ||||
\(377\) | −425938. | − | 1.02831e6i | −0.154345 | − | 0.372622i | ||||
\(378\) | 3.48493e6i | 1.25448i | ||||||||
\(379\) | 239210. | − | 99084.2i | 0.0855425 | − | 0.0354329i | −0.339502 | − | 0.940605i | \(-0.610258\pi\) |
0.425044 | + | 0.905173i | \(0.360258\pi\) | |||||||
\(380\) | 1.03737e6 | − | 2.50443e6i | 0.368532 | − | 0.889714i | ||||
\(381\) | 4.91241e6 | + | 2.03479e6i | 1.73373 | + | 0.718136i | ||||
\(382\) | −2.65678e6 | + | 2.65678e6i | −0.931529 | + | 0.931529i | ||||
\(383\) | 2.67023e6 | − | 2.67023e6i | 0.930146 | − | 0.930146i | −0.0675689 | − | 0.997715i | \(-0.521524\pi\) |
0.997715 | + | 0.0675689i | \(0.0215242\pi\) | |||||||
\(384\) | 1.21677e6 | + | 504001.i | 0.421094 | + | 0.174423i | ||||
\(385\) | 76737.7 | − | 185261.i | 0.0263850 | − | 0.0636990i | ||||
\(386\) | −1.36978e6 | + | 567383.i | −0.467933 | + | 0.193824i | ||||
\(387\) | − | 6.20392e6i | − | 2.10566i | ||||||
\(388\) | −2.51385e6 | − | 6.06898e6i | −0.847736 | − | 2.04662i | ||||
\(389\) | 4.12366e6 | + | 4.12366e6i | 1.38168 | + | 1.38168i | 0.841631 | + | 0.540053i | \(0.181596\pi\) |
0.540053 | + | 0.841631i | \(0.318404\pi\) | |||||||
\(390\) | 3.57967e6 | 1.19174 | ||||||||
\(391\) | 1.11573e6 | + | 4.32480e6i | 0.369077 | + | 1.43062i | ||||
\(392\) | −4.09013e6 | −1.34438 | ||||||||
\(393\) | 1.30046e6 | + | 1.30046e6i | 0.424734 | + | 0.424734i | ||||
\(394\) | −2.80064e6 | − | 6.76134e6i | −0.908901 | − | 2.19428i | ||||
\(395\) | − | 719775.i | − | 0.232116i | ||||||
\(396\) | 1.09954e6 | − | 455443.i | 0.352348 | − | 0.145947i | ||||
\(397\) | −1.89517e6 | + | 4.57534e6i | −0.603492 | + | 1.45696i | 0.266471 | + | 0.963843i | \(0.414142\pi\) |
−0.869963 | + | 0.493117i | \(0.835858\pi\) | |||||||
\(398\) | −1.92336e6 | − | 796683.i | −0.608630 | − | 0.252103i | ||||
\(399\) | 1.01054e6 | − | 1.01054e6i | 0.317775 | − | 0.317775i | ||||
\(400\) | 38789.3 | − | 38789.3i | 0.0121217 | − | 0.0121217i | ||||
\(401\) | 4.07644e6 | + | 1.68852e6i | 1.26596 | + | 0.524377i | 0.911733 | − | 0.410782i | \(-0.134744\pi\) |
0.354226 | + | 0.935160i | \(0.384744\pi\) | |||||||
\(402\) | −4.34259e6 | + | 1.04839e7i | −1.34024 | + | 3.23564i | ||||
\(403\) | −1.50034e6 | + | 621463.i | −0.460180 | + | 0.190613i | ||||
\(404\) | 7.14425e6i | 2.17772i | ||||||||
\(405\) | 71236.0 | + | 171979.i | 0.0215805 | + | 0.0521000i | ||||
\(406\) | 3.11601e6 | + | 3.11601e6i | 0.938174 | + | 0.938174i | ||||
\(407\) | −119695. | −0.0358171 | ||||||||
\(408\) | 1.41288e7 | − | 3.64502e6i | 4.20200 | − | 1.08405i | ||||
\(409\) | 3.93079e6 | 1.16191 | 0.580954 | − | 0.813936i | \(-0.302679\pi\) | ||||
0.580954 | + | 0.813936i | \(0.302679\pi\) | |||||||
\(410\) | −2.80424e6 | − | 2.80424e6i | −0.823864 | − | 0.823864i | ||||
\(411\) | −429397. | − | 1.03665e6i | −0.125387 | − | 0.302712i | ||||
\(412\) | 7.29331e6i | 2.11681i | ||||||||
\(413\) | −3.30694e6 | + | 1.36978e6i | −0.954005 | + | 0.395162i | ||||
\(414\) | 5.83288e6 | − | 1.40818e7i | 1.67256 | − | 4.03792i | ||||
\(415\) | −3.41894e6 | − | 1.41617e6i | −0.974476 | − | 0.403641i | ||||
\(416\) | 2.04824e6 | − | 2.04824e6i | 0.580294 | − | 0.580294i | ||||
\(417\) | 1.96971e6 | − | 1.96971e6i | 0.554705 | − | 0.554705i | ||||
\(418\) | −236195. | − | 97835.1i | −0.0661195 | − | 0.0273876i | ||||
\(419\) | 2.26863e6 | − | 5.47696e6i | 0.631289 | − | 1.52407i | −0.206713 | − | 0.978402i | \(-0.566277\pi\) |
0.838003 | − | 0.545666i | \(-0.183723\pi\) | |||||||
\(420\) | −9.29944e6 | + | 3.85195e6i | −2.57237 | + | 1.06551i | ||||
\(421\) | 4.51963e6i | 1.24279i | 0.783497 | + | 0.621395i | \(0.213434\pi\) | ||||
−0.783497 | + | 0.621395i | \(0.786566\pi\) | |||||||
\(422\) | 489290. | + | 1.18125e6i | 0.133747 | + | 0.322895i | ||||
\(423\) | 5.97929e6 | + | 5.97929e6i | 1.62480 | + | 1.62480i | ||||
\(424\) | −2.31979e6 | −0.626664 | ||||||||
\(425\) | 3490.53 | − | 24729.8i | 0.000937387 | − | 0.00664124i | ||||
\(426\) | −1.54987e7 | −4.13782 | ||||||||
\(427\) | −791758. | − | 791758.i | −0.210147 | − | 0.210147i | ||||
\(428\) | −1.15431e6 | − | 2.78674e6i | −0.304587 | − | 0.735338i | ||||
\(429\) | − | 239770.i | − | 0.0629002i | ||||||
\(430\) | 8.67194e6 | − | 3.59204e6i | 2.26175 | − | 0.936849i | ||||
\(431\) | 1.96863e6 | − | 4.75270e6i | 0.510471 | − | 1.23239i | −0.433138 | − | 0.901327i | \(-0.642594\pi\) |
0.943610 | − | 0.331060i | \(-0.107406\pi\) | |||||||
\(432\) | −8.73705e6 | − | 3.61900e6i | −2.25245 | − | 0.932996i | ||||
\(433\) | 3.93221e6 | − | 3.93221e6i | 1.00790 | − | 1.00790i | 0.00793134 | − | 0.999969i | \(-0.497475\pi\) |
0.999969 | − | 0.00793134i | \(-0.00252465\pi\) | |||||||
\(434\) | 4.54639e6 | − | 4.54639e6i | 1.15862 | − | 1.15862i | ||||
\(435\) | −5.90283e6 | − | 2.44503e6i | −1.49567 | − | 0.619529i | ||||
\(436\) | 3.07428e6 | − | 7.42197e6i | 0.774511 | − | 1.86983i | ||||
\(437\) | −2.14838e6 | + | 889888.i | −0.538155 | + | 0.222911i | ||||
\(438\) | 1.25952e7i | 3.13703i | ||||||||
\(439\) | 2.24717e6 | + | 5.42516e6i | 0.556513 | + | 1.34354i | 0.912510 | + | 0.409054i | \(0.134141\pi\) |
−0.355997 | + | 0.934487i | \(0.615859\pi\) | |||||||
\(440\) | 753743. | + | 753743.i | 0.185606 | + | 0.185606i | ||||
\(441\) | 3.24404e6 | 0.794311 | ||||||||
\(442\) | 426315. | − | 3.02037e6i | 0.103795 | − | 0.735369i | ||||
\(443\) | −8.24535e6 | −1.99618 | −0.998090 | − | 0.0617826i | \(-0.980321\pi\) | ||||
−0.998090 | + | 0.0617826i | \(0.980321\pi\) | |||||||
\(444\) | 4.24848e6 | + | 4.24848e6i | 1.02277 | + | 1.02277i | ||||
\(445\) | −1.55621e6 | − | 3.75702e6i | −0.372535 | − | 0.899380i | ||||
\(446\) | − | 5.95310e6i | − | 1.41712i | ||||||
\(447\) | −4.61700e6 | + | 1.91242e6i | −1.09293 | + | 0.452705i | ||||
\(448\) | −1.44717e6 | + | 3.49377e6i | −0.340662 | + | 0.822430i | ||||
\(449\) | 1.79126e6 | + | 741964.i | 0.419317 | + | 0.173687i | 0.582358 | − | 0.812932i | \(-0.302130\pi\) |
−0.163041 | + | 0.986619i | \(0.552130\pi\) | |||||||
\(450\) | −60266.4 | + | 60266.4i | −0.0140296 | + | 0.0140296i | ||||
\(451\) | −187831. | + | 187831.i | −0.0434837 | + | 0.0434837i | ||||
\(452\) | 1.38255e7 | + | 5.72670e6i | 3.18298 | + | 1.31843i | ||||
\(453\) | 84794.0 | − | 204711.i | 0.0194142 | − | 0.0468700i | ||||
\(454\) | 8.92173e6 | − | 3.69550e6i | 2.03146 | − | 0.841460i | ||||
\(455\) | 1.24565e6i | 0.282077i | ||||||||
\(456\) | 2.90720e6 | + | 7.01861e6i | 0.654731 | + | 1.58066i | ||||
\(457\) | −4.61290e6 | − | 4.61290e6i | −1.03320 | − | 1.03320i | −0.999430 | − | 0.0337674i | \(-0.989249\pi\) |
−0.0337674 | − | 0.999430i | \(-0.510751\pi\) | |||||||
\(458\) | −1.52893e7 | −3.40584 | ||||||||
\(459\) | −4.16904e6 | + | 1.07555e6i | −0.923643 | + | 0.238285i | ||||
\(460\) | 1.63784e7 | 3.60891 | ||||||||
\(461\) | −1.31313e6 | − | 1.31313e6i | −0.287776 | − | 0.287776i | 0.548424 | − | 0.836200i | \(-0.315228\pi\) |
−0.836200 | + | 0.548424i | \(0.815228\pi\) | |||||||
\(462\) | 363280. | + | 877036.i | 0.0791839 | + | 0.191167i | ||||
\(463\) | 1.55830e6i | 0.337830i | 0.985631 | + | 0.168915i | \(0.0540264\pi\) | ||||
−0.985631 | + | 0.168915i | \(0.945974\pi\) | |||||||
\(464\) | −1.10480e7 | + | 4.57623e6i | −2.38226 | + | 0.986764i | ||||
\(465\) | −3.56741e6 | + | 8.61250e6i | −0.765105 | + | 1.84713i | ||||
\(466\) | 88317.7 | + | 36582.4i | 0.0188401 | + | 0.00780382i | ||||
\(467\) | −204454. | + | 204454.i | −0.0433815 | + | 0.0433815i | −0.728465 | − | 0.685083i | \(-0.759766\pi\) |
0.685083 | + | 0.728465i | \(0.259766\pi\) | |||||||
\(468\) | −5.22765e6 | + | 5.22765e6i | −1.10330 | + | 1.10330i | ||||
\(469\) | −3.64819e6 | − | 1.51113e6i | −0.765853 | − | 0.317227i | ||||
\(470\) | −4.89597e6 | + | 1.18199e7i | −1.02234 | + | 2.46814i | ||||
\(471\) | −1.59754e6 | + | 661723.i | −0.331818 | + | 0.137443i | ||||
\(472\) | − | 1.90274e7i | − | 3.93119i | ||||||
\(473\) | −240599. | − | 580857.i | −0.0494471 | − | 0.119376i | ||||
\(474\) | 2.40943e6 | + | 2.40943e6i | 0.492571 | + | 0.492571i | ||||
\(475\) | 13003.0 | 0.00264429 | ||||||||
\(476\) | 2.14261e6 | + | 8.30522e6i | 0.433438 | + | 1.68009i | ||||
\(477\) | 1.83992e6 | 0.370257 | ||||||||
\(478\) | 5.39330e6 | + | 5.39330e6i | 1.07966 | + | 1.07966i | ||||
\(479\) | 684864. | + | 1.65341e6i | 0.136385 | + | 0.329262i | 0.977285 | − | 0.211928i | \(-0.0679741\pi\) |
−0.840901 | + | 0.541190i | \(0.817974\pi\) | |||||||
\(480\) | − | 1.66278e7i | − | 3.29406i | ||||||
\(481\) | 686940. | − | 284540.i | 0.135380 | − | 0.0560764i | ||||
\(482\) | 4.31547e6 | − | 1.04185e7i | 0.846078 | − | 2.04261i | ||||
\(483\) | 7.97734e6 | + | 3.30432e6i | 1.55593 | + | 0.644488i | ||||
\(484\) | −8.84611e6 | + | 8.84611e6i | −1.71648 | + | 1.71648i | ||||
\(485\) | −3.29973e6 | + | 3.29973e6i | −0.636977 | + | 0.636977i | ||||
\(486\) | −9.33860e6 | − | 3.86818e6i | −1.79346 | − | 0.742875i | ||||
\(487\) | 879038. | − | 2.12219e6i | 0.167952 | − | 0.405472i | −0.817385 | − | 0.576092i | \(-0.804577\pi\) |
0.985337 | + | 0.170620i | \(0.0545770\pi\) | |||||||
\(488\) | 5.49910e6 | − | 2.27780e6i | 1.04530 | − | 0.432979i | ||||
\(489\) | − | 4.18938e6i | − | 0.792278i | ||||||
\(490\) | 1.87828e6 | + | 4.53458e6i | 0.353404 | + | 0.853192i | ||||
\(491\) | −3.54658e6 | − | 3.54658e6i | −0.663906 | − | 0.663906i | 0.292392 | − | 0.956298i | \(-0.405549\pi\) |
−0.956298 | + | 0.292392i | \(0.905549\pi\) | |||||||
\(492\) | 1.33338e7 | 2.48337 | ||||||||
\(493\) | −2.76600e6 | + | 4.68937e6i | −0.512549 | + | 0.868955i | ||||
\(494\) | 1.58811e6 | 0.292795 | ||||||||
\(495\) | −597823. | − | 597823.i | −0.109663 | − | 0.109663i | ||||
\(496\) | 6.67693e6 | + | 1.61195e7i | 1.21863 | + | 2.94204i | ||||
\(497\) | − | 5.39323e6i | − | 0.979395i | ||||||
\(498\) | 1.61854e7 | − | 6.70423e6i | 2.92450 | − | 1.21137i | ||||
\(499\) | −2.30536e6 | + | 5.56564e6i | −0.414465 | + | 1.00061i | 0.569459 | + | 0.822020i | \(0.307153\pi\) |
−0.983924 | + | 0.178587i | \(0.942847\pi\) | |||||||
\(500\) | −1.27000e7 | − | 5.26050e6i | −2.27184 | − | 0.941027i | ||||
\(501\) | 1.01908e7 | − | 1.01908e7i | 1.81390 | − | 1.81390i | ||||
\(502\) | −1.03907e7 | + | 1.03907e7i | −1.84029 | + | 1.84029i | ||||
\(503\) | 1.52628e6 | + | 632204.i | 0.268976 | + | 0.111413i | 0.513095 | − | 0.858332i | \(-0.328499\pi\) |
−0.244119 | + | 0.969745i | \(0.578499\pi\) | |||||||
\(504\) | 6.63096e6 | − | 1.60086e7i | 1.16279 | − | 2.80722i | ||||
\(505\) | 4.68883e6 | − | 1.94218e6i | 0.818156 | − | 0.338891i | ||||
\(506\) | − | 1.54465e6i | − | 0.268197i | ||||||
\(507\) | −2.99628e6 | − | 7.23366e6i | −0.517682 | − | 1.24979i | ||||
\(508\) | −1.17484e7 | − | 1.17484e7i | −2.01985 | − | 2.01985i | ||||
\(509\) | 88594.7 | 0.0151570 | 0.00757850 | − | 0.999971i | \(-0.497588\pi\) | ||||
0.00757850 | + | 0.999971i | \(0.497588\pi\) | |||||||
\(510\) | −1.05294e7 | − | 1.39902e7i | −1.79258 | − | 2.38177i | ||||
\(511\) | −4.38286e6 | −0.742515 | ||||||||
\(512\) | 6.88725e6 | + | 6.88725e6i | 1.16110 | + | 1.16110i | ||||
\(513\) | −857837. | − | 2.07100e6i | −0.143917 | − | 0.347446i | ||||
\(514\) | 2.21341e6i | 0.369534i | ||||||||
\(515\) | 4.78667e6 | − | 1.98270e6i | 0.795271 | − | 0.329412i | ||||
\(516\) | −1.20772e7 | + | 2.91569e7i | −1.99683 | + | 4.82077i | ||||
\(517\) | 791712. | + | 327938.i | 0.130269 | + | 0.0539592i | ||||
\(518\) | −2.08159e6 | + | 2.08159e6i | −0.340856 | + | 0.340856i | ||||
\(519\) | −3.85989e6 | + | 3.85989e6i | −0.629009 | + | 0.629009i | ||||
\(520\) | −6.11759e6 | − | 2.53399e6i | −0.992137 | − | 0.410957i | ||||
\(521\) | 2.67232e6 | − | 6.45155e6i | 0.431315 | − | 1.04129i | −0.547549 | − | 0.836774i | \(-0.684439\pi\) |
0.978864 | − | 0.204513i | \(-0.0655609\pi\) | |||||||
\(522\) | 1.71651e7 | − | 7.11003e6i | 2.75722 | − | 1.14208i | ||||
\(523\) | − | 4.70205e6i | − | 0.751680i | −0.926685 | − | 0.375840i | \(-0.877354\pi\) | ||
0.926685 | − | 0.375840i | \(-0.122646\pi\) | |||||||
\(524\) | −2.19921e6 | − | 5.30936e6i | −0.349896 | − | 0.844723i | ||||
\(525\) | −34140.9 | − | 34140.9i | −0.00540600 | − | 0.00540600i | ||||
\(526\) | −3.22905e6 | −0.508874 | ||||||||
\(527\) | 6.84201e6 | + | 4.03572e6i | 1.07314 | + | 0.632987i | ||||
\(528\) | −2.57607e6 | −0.402135 | ||||||||
\(529\) | −5.38356e6 | − | 5.38356e6i | −0.836432 | − | 0.836432i | ||||
\(530\) | 1.06530e6 | + | 2.57187e6i | 0.164734 | + | 0.397704i | ||||
\(531\) | 1.50914e7i | 2.32270i | ||||||||
\(532\) | −4.12568e6 | + | 1.70891e6i | −0.631999 | + | 0.261783i | ||||
\(533\) | 631465. | − | 1.52449e6i | 0.0962789 | − | 0.232438i | ||||
\(534\) | 1.77859e7 | + | 7.36717e6i | 2.69912 | + | 1.11801i | ||||
\(535\) | −1.51516e6 | + | 1.51516e6i | −0.228863 | + | 0.228863i | ||||
\(536\) | 1.48428e7 | − | 1.48428e7i | 2.23154 | − | 2.23154i | ||||
\(537\) | 1.45698e7 | + | 6.03499e6i | 2.18030 | + | 0.903111i | ||||
\(538\) | −103985. | + | 251043.i | −0.0154888 | + | 0.0373932i | ||||
\(539\) | 303731. | − | 125810.i | 0.0450316 | − | 0.0186527i | ||||
\(540\) | 1.57885e7i | 2.33000i | ||||||||
\(541\) | −3.94521e6 | − | 9.52457e6i | −0.579531 | − | 1.39911i | −0.893235 | − | 0.449590i | \(-0.851570\pi\) |
0.313704 | − | 0.949521i | \(-0.398430\pi\) | |||||||
\(542\) | 9.32730e6 | + | 9.32730e6i | 1.36382 | + | 1.36382i | ||||
\(543\) | −1.73241e6 | −0.252146 | ||||||||
\(544\) | −1.40298e7 | − | 1.98026e6i | −2.03262 | − | 0.286896i | ||||
\(545\) | −5.70686e6 | −0.823011 | ||||||||
\(546\) | −4.16979e6 | − | 4.16979e6i | −0.598594 | − | 0.598594i | ||||
\(547\) | 3.26524e6 | + | 7.88298e6i | 0.466602 | + | 1.12648i | 0.965637 | + | 0.259895i | \(0.0836879\pi\) |
−0.499035 | + | 0.866582i | \(0.666312\pi\) | |||||||
\(548\) | 3.50616e6i | 0.498748i | ||||||||
\(549\) | −4.36156e6 | + | 1.80662e6i | −0.617605 | + | 0.255820i | ||||
\(550\) | −3305.35 | + | 7979.82i | −0.000465919 | + | 0.00112483i | ||||
\(551\) | −2.61878e6 | − | 1.08473e6i | −0.367469 | − | 0.152210i | ||||
\(552\) | −3.24561e7 | + | 3.24561e7i | −4.53366 | + | 4.53366i | ||||
\(553\) | −838432. | + | 838432.i | −0.116588 | + | 0.116588i | ||||
\(554\) | −1.20169e7 | − | 4.97758e6i | −1.66349 | − | 0.689039i | ||||
\(555\) | 1.63336e6 | − | 3.94327e6i | 0.225086 | − | 0.543406i | ||||
\(556\) | −8.04167e6 | + | 3.33097e6i | −1.10321 | + | 0.456966i | ||||
\(557\) | 1.10890e7i | 1.51445i | 0.653156 | + | 0.757224i | \(0.273445\pi\) | ||||
−0.653156 | + | 0.757224i | \(0.726555\pi\) | |||||||
\(558\) | −1.03739e7 | − | 2.50447e7i | −1.41044 | − | 3.40510i | ||||
\(559\) | 2.76163e6 | + | 2.76163e6i | 0.373797 | + | 0.373797i | ||||
\(560\) | 1.33831e7 | 1.80338 | ||||||||
\(561\) | −937083. | + | 705271.i | −0.125710 | + | 0.0946125i | ||||
\(562\) | 1.32068e7 | 1.76383 | ||||||||
\(563\) | 8.38945e6 | + | 8.38945e6i | 1.11548 | + | 1.11548i | 0.992396 | + | 0.123085i | \(0.0392789\pi\) |
0.123085 | + | 0.992396i | \(0.460721\pi\) | |||||||
\(564\) | −1.64613e7 | − | 3.97411e7i | −2.17904 | − | 5.26068i | ||||
\(565\) | − | 1.06306e7i | − | 1.40099i | ||||||
\(566\) | 198767. | − | 82332.1i | 0.0260798 | − | 0.0108026i | ||||
\(567\) | 117351. | − | 283310.i | 0.0153295 | − | 0.0370087i | ||||
\(568\) | 2.64870e7 | + | 1.09713e7i | 3.44479 | + | 1.42688i | ||||
\(569\) | 3.26137e6 | − | 3.26137e6i | 0.422298 | − | 0.422298i | −0.463696 | − | 0.885994i | \(-0.653477\pi\) |
0.885994 | + | 0.463696i | \(0.153477\pi\) | |||||||
\(570\) | 6.44622e6 | − | 6.44622e6i | 0.831032 | − | 0.831032i | ||||
\(571\) | 3.83088e6 | + | 1.58680e6i | 0.491709 | + | 0.203673i | 0.614739 | − | 0.788730i | \(-0.289261\pi\) |
−0.123030 | + | 0.992403i | \(0.539261\pi\) | |||||||
\(572\) | −286714. | + | 692188.i | −0.0366403 | + | 0.0884574i | ||||
\(573\) | −8.29092e6 | + | 3.43421e6i | −1.05491 | + | 0.436959i | ||||
\(574\) | 6.53305e6i | 0.827630i | ||||||||
\(575\) | 30064.8 | + | 72582.8i | 0.00379218 | + | 0.00915512i | ||||
\(576\) | 1.12741e7 | + | 1.12741e7i | 1.41588 | + | 1.41588i | ||||
\(577\) | −3.84164e6 | −0.480372 | −0.240186 | − | 0.970727i | \(-0.577208\pi\) | ||||
−0.240186 | + | 0.970727i | \(0.577208\pi\) | |||||||
\(578\) | −1.30584e7 | + | 7.21811e6i | −1.62581 | + | 0.898678i | ||||
\(579\) | −3.54123e6 | −0.438993 | ||||||||
\(580\) | 1.41170e7 | + | 1.41170e7i | 1.74250 | + | 1.74250i | ||||
\(581\) | 2.33293e6 | + | 5.63219e6i | 0.286722 | + | 0.692209i | ||||
\(582\) | − | 2.20916e7i | − | 2.70345i | ||||||
\(583\) | 172267. | − | 71355.3i | 0.0209909 | − | 0.00869470i | ||||
\(584\) | 8.91591e6 | − | 2.15249e7i | 1.08177 | − | 2.61162i | ||||
\(585\) | 4.85210e6 | + | 2.00981e6i | 0.586193 | + | 0.242809i | ||||
\(586\) | 2.86426e6 | − | 2.86426e6i | 0.344563 | − | 0.344563i | ||||
\(587\) | −5.37250e6 | + | 5.37250e6i | −0.643549 | + | 0.643549i | −0.951426 | − | 0.307877i | \(-0.900381\pi\) |
0.307877 | + | 0.951426i | \(0.400381\pi\) | |||||||
\(588\) | −1.52462e7 | − | 6.31518e6i | −1.81852 | − | 0.753256i | ||||
\(589\) | −1.58268e6 | + | 3.82092e6i | −0.187977 | + | 0.453816i | ||||
\(590\) | −2.10950e7 | + | 8.73783e6i | −2.49488 | + | 1.03341i | ||||
\(591\) | − | 1.74797e7i | − | 2.05857i | ||||||
\(592\) | −3.05707e6 | − | 7.38041e6i | −0.358509 | − | 0.865518i | ||||
\(593\) | −3.67046e6 | − | 3.67046e6i | −0.428631 | − | 0.428631i | 0.459531 | − | 0.888162i | \(-0.348018\pi\) |
−0.888162 | + | 0.459531i | \(0.848018\pi\) | |||||||
\(594\) | 1.48902e6 | 0.173155 | ||||||||
\(595\) | 4.86831e6 | − | 3.66401e6i | 0.563749 | − | 0.424291i | ||||
\(596\) | 1.56156e7 | 1.80070 | ||||||||
\(597\) | −3.51600e6 | − | 3.51600e6i | −0.403750 | − | 0.403750i | ||||
\(598\) | 3.67196e6 | + | 8.86489e6i | 0.419899 | + | 1.01373i | ||||
\(599\) | 2.90719e6i | 0.331059i | 0.986205 | + | 0.165530i | \(0.0529333\pi\) | ||||
−0.986205 | + | 0.165530i | \(0.947067\pi\) | |||||||
\(600\) | 237123. | − | 98219.6i | 0.0268903 | − | 0.0111383i | ||||
\(601\) | 6.23675e6 | − | 1.50569e7i | 0.704324 | − | 1.70039i | −0.00939440 | − | 0.999956i | \(-0.502990\pi\) |
0.713718 | − | 0.700433i | \(-0.247010\pi\) | |||||||
\(602\) | −1.42857e7 | − | 5.91734e6i | −1.60661 | − | 0.665481i | ||||
\(603\) | −1.17724e7 | + | 1.17724e7i | −1.31848 | + | 1.31848i | ||||
\(604\) | −489580. | + | 489580.i | −0.0546049 | + | 0.0546049i | ||||
\(605\) | 8.21061e6 | + | 3.40095e6i | 0.911984 | + | 0.377756i | ||||
\(606\) | −9.19437e6 | + | 2.21972e7i | −1.01705 | + | 2.45537i | ||||
\(607\) | 4.81763e6 | − | 1.99553e6i | 0.530716 | − | 0.219830i | −0.101201 | − | 0.994866i | \(-0.532268\pi\) |
0.631917 | + | 0.775036i | \(0.282268\pi\) | |||||||
\(608\) | − | 7.37689e6i | − | 0.809309i | ||||||
\(609\) | 4.02783e6 | + | 9.72403e6i | 0.440076 | + | 1.06244i | ||||
\(610\) | −5.05063e6 | − | 5.05063e6i | −0.549568 | − | 0.549568i | ||||
\(611\) | −5.32327e6 | −0.576867 | ||||||||
\(612\) | 3.58078e7 | + | 5.05414e6i | 3.86455 | + | 0.545468i | ||||
\(613\) | −4.70208e6 | −0.505404 | −0.252702 | − | 0.967544i | \(-0.581319\pi\) | ||||
−0.252702 | + | 0.967544i | \(0.581319\pi\) | |||||||
\(614\) | 2.81409e6 | + | 2.81409e6i | 0.301243 | + | 0.301243i | ||||
\(615\) | −3.62483e6 | − | 8.75111e6i | −0.386456 | − | 0.932987i | ||||
\(616\) | − | 1.75600e6i | − | 0.186454i | ||||||
\(617\) | −2.30665e6 | + | 955448.i | −0.243932 | + | 0.101040i | −0.501300 | − | 0.865273i | \(-0.667145\pi\) |
0.257368 | + | 0.966314i | \(0.417145\pi\) | |||||||
\(618\) | −9.38622e6 | + | 2.26603e7i | −0.988597 | + | 2.38668i | ||||
\(619\) | 1.32933e7 | + | 5.50625e6i | 1.39446 | + | 0.577602i | 0.948306 | − | 0.317356i | \(-0.102795\pi\) |
0.446149 | + | 0.894959i | \(0.352795\pi\) | |||||||
\(620\) | 2.05974e7 | − | 2.05974e7i | 2.15195 | − | 2.15195i | ||||
\(621\) | 9.57692e6 | − | 9.57692e6i | 0.996545 | − | 0.996545i | ||||
\(622\) | 2.73574e6 | + | 1.13318e6i | 0.283530 | + | 0.117442i | ||||
\(623\) | −2.56362e6 | + | 6.18912e6i | −0.264627 | + | 0.638865i | ||||
\(624\) | 1.47843e7 | − | 6.12384e6i | 1.51998 | − | 0.629596i | ||||
\(625\) | 9.69969e6i | 0.993248i | ||||||||
\(626\) | 5.72369e6 | + | 1.38182e7i | 0.583768 | + | 1.40934i | ||||
\(627\) | −431775. | − | 431775.i | −0.0438620 | − | 0.0438620i | ||||
\(628\) | 5.40318e6 | 0.546702 | ||||||||
\(629\) | −3.13265e6 | − | 1.84778e6i | −0.315707 | − | 0.186219i | ||||
\(630\) | −2.07932e7 | −2.08723 | ||||||||
\(631\) | −6.96686e6 | − | 6.96686e6i | −0.696568 | − | 0.696568i | 0.267100 | − | 0.963669i | \(-0.413934\pi\) |
−0.963669 | + | 0.267100i | \(0.913934\pi\) | |||||||
\(632\) | −2.41208e6 | − | 5.82327e6i | −0.240214 | − | 0.579929i | ||||
\(633\) | 3.05383e6i | 0.302925i | ||||||||
\(634\) | −1.56955e7 | + | 6.50127e6i | −1.55078 | + | 0.642355i | ||||
\(635\) | −4.51674e6 | + | 1.09044e7i | −0.444520 | + | 1.07317i | ||||
\(636\) | −8.64717e6 | − | 3.58178e6i | −0.847679 | − | 0.351120i | ||||
\(637\) | −1.44406e6 | + | 1.44406e6i | −0.141006 | + | 0.141006i | ||||
\(638\) | 1.33139e6 | − | 1.33139e6i | 0.129495 | − | 0.129495i | ||||
\(639\) | −2.10079e7 | − | 8.70176e6i | −2.03531 | − | 0.843053i | ||||
\(640\) | −1.11876e6 | + | 2.70093e6i | −0.107966 | + | 0.260653i | ||||
\(641\) | 1.52667e6 | − | 632366.i | 0.146757 | − | 0.0607888i | −0.308096 | − | 0.951355i | \(-0.599692\pi\) |
0.454853 | + | 0.890567i | \(0.349692\pi\) | |||||||
\(642\) | − | 1.01440e7i | − | 0.971337i | ||||||
\(643\) | 4.83540e6 | + | 1.16737e7i | 0.461217 | + | 1.11348i | 0.967898 | + | 0.251343i | \(0.0808721\pi\) |
−0.506681 | + | 0.862133i | \(0.669128\pi\) | |||||||
\(644\) | −1.90784e7 | − | 1.90784e7i | −1.81270 | − | 1.81270i | ||||
\(645\) | 2.24191e7 | 2.12187 | ||||||||
\(646\) | −4.67135e6 | − | 6.20675e6i | −0.440414 | − | 0.585171i | ||||
\(647\) | 2.03508e6 | 0.191126 | 0.0955630 | − | 0.995423i | \(-0.469535\pi\) | ||||
0.0955630 | + | 0.995423i | \(0.469535\pi\) | |||||||
\(648\) | 1.15266e6 | + | 1.15266e6i | 0.107836 | + | 0.107836i | ||||
\(649\) | 585270. | + | 1.41297e6i | 0.0545437 | + | 0.131680i | ||||
\(650\) | − | 53654.3i | − | 0.00498105i | ||||||
\(651\) | 1.41878e7 | − | 5.87678e6i | 1.31209 | − | 0.543484i | ||||
\(652\) | −5.00960e6 | + | 1.20942e7i | −0.461513 | + | 1.11419i | ||||
\(653\) | −1.19120e7 | − | 4.93411e6i | −1.09320 | − | 0.452820i | −0.238081 | − | 0.971245i | \(-0.576518\pi\) |
−0.855123 | + | 0.518425i | \(0.826518\pi\) | |||||||
\(654\) | 1.91036e7 | − | 1.91036e7i | 1.74651 | − | 1.74651i | ||||
\(655\) | −2.88672e6 | + | 2.88672e6i | −0.262907 | + | 0.262907i | ||||
\(656\) | −1.63790e7 | − | 6.78439e6i | −1.48603 | − | 0.615533i | ||||
\(657\) | −7.07156e6 | + | 1.70723e7i | −0.639149 | + | 1.54304i | ||||
\(658\) | 1.94716e7 | − | 8.06539e6i | 1.75322 | − | 0.726207i | ||||
\(659\) | − | 9.82029e6i | − | 0.880868i | −0.897785 | − | 0.440434i | \(-0.854825\pi\) | ||
0.897785 | − | 0.440434i | \(-0.145175\pi\) | |||||||
\(660\) | 1.64584e6 | + | 3.97340e6i | 0.147071 | + | 0.355061i | ||||
\(661\) | 4.22855e6 | + | 4.22855e6i | 0.376433 | + | 0.376433i | 0.869814 | − | 0.493381i | \(-0.164239\pi\) |
−0.493381 | + | 0.869814i | \(0.664239\pi\) | |||||||
\(662\) | 2.46808e7 | 2.18884 | ||||||||
\(663\) | 3.70142e6 | − | 6.27524e6i | 0.327028 | − | 0.554430i | ||||
\(664\) | −3.24064e7 | −2.85240 | ||||||||
\(665\) | 2.24315e6 | + | 2.24315e6i | 0.196700 | + | 0.196700i | ||||
\(666\) | 4.74972e6 | + | 1.14668e7i | 0.414938 | + | 1.00175i | ||||
\(667\) | − | 1.71262e7i | − | 1.49055i | ||||||
\(668\) | −4.16056e7 | + | 1.72336e7i | −3.60753 | + | 1.49429i | ||||
\(669\) | 5.44127e6 | − | 1.31364e7i | 0.470040 | − | 1.13478i | ||||
\(670\) | −2.32719e7 | − | 9.63952e6i | −2.00283 | − | 0.829600i | ||||
\(671\) | −338297. | + | 338297.i | −0.0290063 | + | 0.0290063i | ||||
\(672\) | −1.93689e7 | + | 1.93689e7i | −1.65456 | + | 1.65456i | ||||
\(673\) | −4.04112e6 | − | 1.67389e6i | −0.343925 | − | 0.142459i | 0.204033 | − | 0.978964i | \(-0.434595\pi\) |
−0.547959 | + | 0.836505i | \(0.684595\pi\) | |||||||
\(674\) | −2.91473e6 | + | 7.03677e6i | −0.247143 | + | 0.596656i | ||||
\(675\) | −69968.6 | + | 28981.9i | −0.00591077 | + | 0.00244832i | ||||
\(676\) | 2.44656e7i | 2.05916i | ||||||||
\(677\) | 445719. | + | 1.07606e6i | 0.0373757 | + | 0.0902329i | 0.941465 | − | 0.337110i | \(-0.109450\pi\) |
−0.904089 | + | 0.427343i | \(0.859450\pi\) | |||||||
\(678\) | 3.55857e7 | + | 3.55857e7i | 2.97304 | + | 2.97304i | ||||
\(679\) | 7.68740e6 | 0.639889 | ||||||||
\(680\) | 8.09107e6 | + | 3.13627e7i | 0.671017 | + | 2.60100i | ||||
\(681\) | 2.30649e7 | 1.90583 | ||||||||
\(682\) | −1.94255e6 | − | 1.94255e6i | −0.159923 | − | 0.159923i | ||||
\(683\) | −2.72978e6 | − | 6.59028e6i | −0.223912 | − | 0.540570i | 0.771503 | − | 0.636226i | \(-0.219505\pi\) |
−0.995415 | + | 0.0956554i | \(0.969505\pi\) | |||||||
\(684\) | 1.88278e7i | 1.53872i | ||||||||
\(685\) | 2.30113e6 | − | 953158.i | 0.187376 | − | 0.0776137i | ||||
\(686\) | 9.29744e6 | − | 2.24460e7i | 0.754315 | − | 1.82108i | ||||
\(687\) | −3.37382e7 | − | 1.39748e7i | −2.72728 | − | 1.12968i | ||||
\(688\) | 2.96707e7 | − | 2.96707e7i | 2.38977 | − | 2.38977i | ||||
\(689\) | −819027. | + | 819027.i | −0.0657280 | + | 0.0657280i | ||||
\(690\) | 5.08875e7 | + | 2.10783e7i | 4.06901 | + | 1.68544i | ||||
\(691\) | −987423. | + | 2.38385e6i | −0.0786698 | + | 0.189926i | −0.958321 | − | 0.285694i | \(-0.907776\pi\) |
0.879651 | + | 0.475619i | \(0.157776\pi\) | |||||||
\(692\) | 1.57587e7 | − | 6.52745e6i | 1.25099 | − | 0.518177i | ||||
\(693\) | 1.39275e6i | 0.110164i | ||||||||
\(694\) | 3.97511e6 | + | 9.59676e6i | 0.313293 | + | 0.756355i | ||||
\(695\) | 4.37229e6 | + | 4.37229e6i | 0.343358 | + | 0.343358i | ||||
\(696\) | −5.59500e7 | −4.37801 | ||||||||
\(697\) | −7.81551e6 | + | 2.01628e6i | −0.609362 | + | 0.157206i | ||||
\(698\) | 3.15399e7 | 2.45031 | ||||||||
\(699\) | 161449. | + | 161449.i | 0.0124980 | + | 0.0124980i | ||||
\(700\) | 57735.5 | + | 139386.i | 0.00445346 | + | 0.0107516i | ||||
\(701\) | 8.38631e6i | 0.644578i | 0.946641 | + | 0.322289i | \(0.104452\pi\) | ||||
−0.946641 | + | 0.322289i | \(0.895548\pi\) | |||||||
\(702\) | −8.54560e6 | + | 3.53970e6i | −0.654485 | + | 0.271097i | ||||
\(703\) | 724636. | − | 1.74943e6i | 0.0553009 | − | 0.133508i | ||||
\(704\) | 1.49279e6 | + | 618336.i | 0.113519 | + | 0.0470211i | ||||
\(705\) | −2.16074e7 | + | 2.16074e7i | −1.63730 | + | 1.63730i | ||||
\(706\) | 5.61329e6 | − | 5.61329e6i | 0.423844 | − | 0.423844i | ||||
\(707\) | −7.72415e6 | − | 3.19945e6i | −0.581169 | − | 0.240728i | ||||
\(708\) | 2.93784e7 | − | 7.09257e7i | 2.20265 | − | 5.31766i | ||||
\(709\) | 6.14116e6 | − | 2.54375e6i | 0.458812 | − | 0.190046i | −0.141292 | − | 0.989968i | \(-0.545126\pi\) |
0.600104 | + | 0.799922i | \(0.295126\pi\) | |||||||
\(710\) | − | 3.44035e7i | − | 2.56128i | ||||||
\(711\) | 1.91312e6 | + | 4.61867e6i | 0.141928 | + | 0.342644i | ||||
\(712\) | −2.51807e7 | − | 2.51807e7i | −1.86152 | − | 1.86152i | ||||
\(713\) | −2.49878e7 | −1.84079 | ||||||||
\(714\) | −4.03139e6 | + | 2.85618e7i | −0.295944 | + | 2.09672i | ||||
\(715\) | 532233. | 0.0389347 | ||||||||
\(716\) | −3.48446e7 | − | 3.48446e7i | −2.54011 | − | 2.54011i | ||||
\(717\) | 6.97152e6 | + | 1.68307e7i | 0.506442 | + | 1.22266i | ||||
\(718\) | − | 6.07094e6i | − | 0.439486i | ||||||
\(719\) | 1.83045e7 | − | 7.58199e6i | 1.32050 | − | 0.546967i | 0.392566 | − | 0.919724i | \(-0.371587\pi\) |
0.927929 | + | 0.372757i | \(0.121587\pi\) | |||||||
\(720\) | 2.15932e7 | − | 5.21305e7i | 1.55233 | − | 3.74766i | ||||
\(721\) | −7.88532e6 | − | 3.26621e6i | −0.564912 | − | 0.233994i | ||||
\(722\) | −1.55391e7 | + | 1.55391e7i | −1.10938 | + | 1.10938i | ||||
\(723\) | 1.90454e7 | − | 1.90454e7i | 1.35502 | − | 1.35502i | ||||
\(724\) | 5.00127e6 | + | 2.07159e6i | 0.354596 | + | 0.146879i | ||||
\(725\) | −36647.7 | + | 88475.3i | −0.00258941 | + | 0.00625140i | ||||
\(726\) | −3.88695e7 | + | 1.61003e7i | −2.73695 | + | 1.13368i | ||||
\(727\) | 9.55304e6i | 0.670356i | 0.942155 | + | 0.335178i | \(0.108797\pi\) | ||||
−0.942155 | + | 0.335178i | \(0.891203\pi\) | |||||||
\(728\) | 4.17437e6 | + | 1.00778e7i | 0.291919 | + | 0.704754i | ||||
\(729\) | −1.64973e7 | − | 1.64973e7i | −1.14973 | − | 1.14973i | ||||
\(730\) | −2.79583e7 | −1.94180 | ||||||||
\(731\) | 2.66997e6 | − | 1.89163e7i | 0.184805 | − | 1.30931i | ||||
\(732\) | 2.40152e7 | 1.65656 | ||||||||
\(733\) | 3.74705e6 | + | 3.74705e6i | 0.257590 | + | 0.257590i | 0.824073 | − | 0.566483i | \(-0.191696\pi\) |
−0.566483 | + | 0.824073i | \(0.691696\pi\) | |||||||
\(734\) | 6.48290e6 | + | 1.56511e7i | 0.444150 | + | 1.07227i | ||||
\(735\) | 1.17230e7i | 0.800426i | ||||||||
\(736\) | 4.11780e7 | − | 1.70565e7i | 2.80201 | − | 1.16063i | ||||
\(737\) | −645666. | + | 1.55878e6i | −0.0437864 | + | 0.105710i | ||||
\(738\) | 2.54478e7 | + | 1.05408e7i | 1.71992 | + | 0.712416i | ||||
\(739\) | −6.31890e6 | + | 6.31890e6i | −0.425628 | + | 0.425628i | −0.887136 | − | 0.461508i | \(-0.847309\pi\) |
0.461508 | + | 0.887136i | \(0.347309\pi\) | |||||||
\(740\) | −9.43062e6 | + | 9.43062e6i | −0.633083 | + | 0.633083i | ||||
\(741\) | 3.50441e6 | + | 1.45157e6i | 0.234460 | + | 0.0971166i | ||||
\(742\) | 1.75493e6 | − | 4.23677e6i | 0.117017 | − | 0.282505i | ||||
\(743\) | 527097. | − | 218331.i | 0.0350283 | − | 0.0145092i | −0.365101 | − | 0.930968i | \(-0.618965\pi\) |
0.400129 | + | 0.916459i | \(0.368965\pi\) | |||||||
\(744\) | 8.16335e7i | 5.40675i | ||||||||
\(745\) | −4.24513e6 | − | 1.02486e7i | −0.280221 | − | 0.676513i | ||||
\(746\) | 3.53690e7 | + | 3.53690e7i | 2.32689 | + | 2.32689i | ||||
\(747\) | 2.57028e7 | 1.68531 | ||||||||
\(748\) | 3.54860e6 | − | 915482.i | 0.231901 | − | 0.0598268i | ||||
\(749\) | 3.52988e6 | 0.229909 | ||||||||
\(750\) | −3.26888e7 | − | 3.26888e7i | −2.12200 | − | 2.12200i | ||||
\(751\) | 2.67848e6 | + | 6.46643e6i | 0.173296 | + | 0.418374i | 0.986534 | − | 0.163558i | \(-0.0522971\pi\) |
−0.813238 | + | 0.581932i | \(0.802297\pi\) | |||||||
\(752\) | 5.71927e7i | 3.68804i | ||||||||
\(753\) | −3.24260e7 | + | 1.34313e7i | −2.08404 | + | 0.863237i | ||||
\(754\) | −4.47596e6 | + | 1.08059e7i | −0.286720 | + | 0.692202i | ||||
\(755\) | 454409. | + | 188222.i | 0.0290121 | + | 0.0120172i | ||||
\(756\) | 1.83912e7 | − | 1.83912e7i | 1.17032 | − | 1.17032i | ||||
\(757\) | 1.43476e7 | − | 1.43476e7i | 0.909997 | − | 0.909997i | −0.0862747 | − | 0.996271i | \(-0.527496\pi\) |
0.996271 | + | 0.0862747i | \(0.0274963\pi\) | |||||||
\(758\) | −2.51373e6 | − | 1.04122e6i | −0.158908 | − | 0.0658220i | ||||
\(759\) | 1.41185e6 | − | 3.40851e6i | 0.0889578 | − | 0.214763i | ||||
\(760\) | −1.55796e7 | + | 6.45330e6i | −0.978416 | + | 0.405273i | ||||
\(761\) | 1.78173e7i | 1.11527i | 0.830085 | + | 0.557636i | \(0.188292\pi\) | ||||
−0.830085 | + | 0.557636i | \(0.811708\pi\) | |||||||
\(762\) | −2.13825e7 | − | 5.16219e7i | −1.33405 | − | 3.22067i | ||||
\(763\) | 6.64765e6 | + | 6.64765e6i | 0.413387 | + | 0.413387i | ||||
\(764\) | 2.80415e7 | 1.73807 | ||||||||
\(765\) | −6.41735e6 | − | 2.48750e7i | −0.396462 | − | 1.53677i | ||||
\(766\) | −3.96828e7 | −2.44360 | ||||||||
\(767\) | −6.71782e6 | − | 6.71782e6i | −0.412325 | − | 0.412325i | ||||
\(768\) | 7.36787e6 | + | 1.77876e7i | 0.450753 | + | 1.08821i | ||||
\(769\) | − | 7.00151e6i | − | 0.426949i | −0.976949 | − | 0.213475i | \(-0.931522\pi\) | ||
0.976949 | − | 0.213475i | \(-0.0684780\pi\) | |||||||
\(770\) | −1.94681e6 | + | 806396.i | −0.118331 | + | 0.0490141i | ||||
\(771\) | −2.02311e6 | + | 4.88423e6i | −0.122570 | + | 0.295910i | ||||
\(772\) | 1.02231e7 | + | 4.23455e6i | 0.617362 | + | 0.255720i | ||||
\(773\) | −8.07582e6 | + | 8.07582e6i | −0.486114 | + | 0.486114i | −0.907078 | − | 0.420964i | \(-0.861692\pi\) |
0.420964 | + | 0.907078i | \(0.361692\pi\) | |||||||
\(774\) | −4.60989e7 | + | 4.60989e7i | −2.76591 | + | 2.76591i | ||||
\(775\) | 129089. | + | 53470.6i | 0.00772034 | + | 0.00319787i | ||||
\(776\) | −1.56382e7 | + | 3.77541e7i | −0.932253 | + | 2.25066i | ||||
\(777\) | −6.49596e6 | + | 2.69071e6i | −0.386003 | + | 0.159888i | ||||
\(778\) | − | 6.12826e7i | − | 3.62985i | ||||||
\(779\) | −1.60815e6 | − | 3.88242e6i | −0.0949473 | − | 0.229223i | ||||
\(780\) | −1.88912e7 | − | 1.88912e7i | −1.11179 | − | 1.11179i | ||||
\(781\) | −2.30438e6 | −0.135185 | ||||||||
\(782\) | 2.38454e7 | − | 4.04265e7i | 1.39440 | − | 2.36401i | ||||
\(783\) | 1.65093e7 | 0.962332 | ||||||||
\(784\) | 1.55149e7 | + | 1.55149e7i | 0.901483 | + | 0.901483i | ||||
\(785\) | −1.46887e6 | − | 3.54616e6i | −0.0850763 | − | 0.205392i | ||||
\(786\) | − | 1.93265e7i | − | 1.11583i | ||||||
\(787\) | 6.68191e6 | − | 2.76774e6i | 0.384560 | − | 0.159290i | −0.182024 | − | 0.983294i | \(-0.558265\pi\) |
0.566584 | + | 0.824004i | \(0.308265\pi\) | |||||||
\(788\) | −2.09020e7 | + | 5.04619e7i | −1.19915 | + | 2.89500i | ||||
\(789\) | −7.12538e6 | − | 2.95143e6i | −0.407489 | − | 0.168787i | ||||
\(790\) | −5.34837e6 | + | 5.34837e6i | −0.304897 | + | 0.304897i | ||||
\(791\) | −1.23831e7 | + | 1.23831e7i | −0.703700 | + | 0.703700i | ||||
\(792\) | −6.84003e6 | − | 2.83323e6i | −0.387476 | − | 0.160498i | ||||
\(793\) | 1.13731e6 | − | 2.74572e6i | 0.0642240 | − | 0.155050i | ||||
\(794\) | 4.80799e7 | − | 1.99153e7i | 2.70652 | − | 1.12108i | ||||
\(795\) | 6.64893e6i | 0.373107i | ||||||||
\(796\) | 5.94589e6 | + | 1.43546e7i | 0.332609 | + | 0.802989i | ||||
\(797\) | −1.48949e7 | − | 1.48949e7i | −0.830602 | − | 0.830602i | 0.156997 | − | 0.987599i | \(-0.449819\pi\) |
−0.987599 | + | 0.156997i | \(0.949819\pi\) | |||||||
\(798\) | −1.50178e7 | −0.834831 | ||||||||
\(799\) | 1.56581e7 | + | 2.08047e7i | 0.867705 | + | 1.15291i | ||||
\(800\) | −249228. | −0.0137680 | ||||||||
\(801\) | 1.99718e7 | + | 1.99718e7i | 1.09986 | + | 1.09986i | ||||
\(802\) | −1.77437e7 | − | 4.28371e7i | −0.974111 | − | 2.35171i | ||||
\(803\) | 1.87268e6i | 0.102488i | ||||||||
\(804\) | 7.82449e7 | − | 3.24101e7i | 4.26890 | − | 1.76824i | ||||
\(805\) | −7.33481e6 | + | 1.77078e7i | −0.398932 | + | 0.963108i | ||||
\(806\) | 1.57663e7 | + | 6.53062e6i | 0.854855 | + | 0.354093i | ||||
\(807\) | −458919. | + | 458919.i | −0.0248057 | + | 0.0248057i | ||||
\(808\) | 3.14260e7 | − | 3.14260e7i | 1.69341 | − | 1.69341i | ||||
\(809\) | −3.80905e6 | − | 1.57776e6i | −0.204619 | − | 0.0847559i | 0.278020 | − | 0.960575i | \(-0.410322\pi\) |
−0.482639 | + | 0.875819i | \(0.660322\pi\) | |||||||
\(810\) | 748581. | − | 1.80724e6i | 0.0400891 | − | 0.0967837i | ||||
\(811\) | 6.88676e6 | − | 2.85259e6i | 0.367674 | − | 0.152295i | −0.191194 | − | 0.981552i | \(-0.561236\pi\) |
0.558868 | + | 0.829257i | \(0.311236\pi\) | |||||||
\(812\) | − | 3.28885e7i | − | 1.75047i | ||||||
\(813\) | 1.20567e7 | + | 2.91075e7i | 0.639738 | + | 1.54446i | ||||
\(814\) | 889408. | + | 889408.i | 0.0470479 | + | 0.0470479i | ||||
\(815\) | 9.29943e6 | 0.490413 | ||||||||
\(816\) | −6.74205e7 | − | 3.97677e7i | −3.54460 | − | 2.09076i | ||||
\(817\) | 9.94621e6 | 0.521318 | ||||||||
\(818\) | −2.92082e7 | − | 2.92082e7i | −1.52624 | − | 1.52624i | ||||
\(819\) | −3.31086e6 | − | 7.99311e6i | −0.172477 | − | 0.416396i | ||||
\(820\) | 2.95979e7i | 1.53719i | ||||||||
\(821\) | 2.20036e7 | − | 9.11418e6i | 1.13929 | − | 0.471910i | 0.268363 | − | 0.963318i | \(-0.413517\pi\) |
0.870930 | + | 0.491408i | \(0.163517\pi\) | |||||||
\(822\) | −4.51230e6 | + | 1.08937e7i | −0.232926 | + | 0.562334i | ||||
\(823\) | −2.73081e7 | − | 1.13114e7i | −1.40537 | − | 0.582124i | −0.454232 | − | 0.890884i | \(-0.650086\pi\) |
−0.951140 | + | 0.308759i | \(0.900086\pi\) | |||||||
\(824\) | 3.20817e7 | − | 3.20817e7i | 1.64604 | − | 1.64604i | ||||
\(825\) | −14587.5 | + | 14587.5i | −0.000746183 | + | 0.000746183i | ||||
\(826\) | 3.47508e7 | + | 1.43943e7i | 1.77221 | + | 0.734073i | ||||
\(827\) | −1.25730e7 | + | 3.03540e7i | −0.639258 | + | 1.54331i | 0.188412 | + | 0.982090i | \(0.439666\pi\) |
−0.827670 | + | 0.561215i | \(0.810334\pi\) | |||||||
\(828\) | −1.05097e8 | + | 4.35326e7i | −5.32739 | + | 2.20668i | ||||
\(829\) | − | 351675.i | − | 0.0177728i | −0.999961 | − | 0.00888640i | \(-0.997171\pi\) | ||
0.999961 | − | 0.00888640i | \(-0.00282867\pi\) | |||||||
\(830\) | 1.48818e7 | + | 3.59278e7i | 0.749825 | + | 1.81024i | ||||
\(831\) | −2.19675e7 | − | 2.19675e7i | −1.10352 | − | 1.10352i | ||||
\(832\) | −1.00372e7 | −0.502694 | ||||||||
\(833\) | 9.89139e6 | + | 1.39613e6i | 0.493907 | + | 0.0697131i | ||||
\(834\) | −2.92723e7 | −1.45728 | ||||||||
\(835\) | 2.26211e7 | + | 2.26211e7i | 1.12279 | + | 1.12279i | ||||
\(836\) | 730173. | + | 1.76279e6i | 0.0361335 | + | 0.0872340i | ||||
\(837\) | − | 2.40878e7i | − | 1.18846i | ||||||
\(838\) | −5.75544e7 | + | 2.38398e7i | −2.83119 | + | 1.17272i | ||||
\(839\) | 1.16871e7 | − | 2.82152e7i | 0.573194 | − | 1.38381i | −0.325627 | − | 0.945498i | \(-0.605575\pi\) |
0.898821 | − | 0.438316i | \(-0.144425\pi\) | |||||||
\(840\) | 5.78502e7 | + | 2.39623e7i | 2.82883 | + | 1.17174i | ||||
\(841\) | 258020. | − | 258020.i | 0.0125795 | − | 0.0125795i | ||||
\(842\) | 3.35836e7 | − | 3.35836e7i | 1.63248 | − | 1.63248i | ||||
\(843\) | 2.91427e7 | + | 1.20713e7i | 1.41241 | + | 0.585040i | ||||
\(844\) | 3.65172e6 | − | 8.81604e6i | 0.176458 | − | 0.426007i | ||||
\(845\) | 1.60570e7 | − | 6.65103e6i | 0.773612 | − | 0.320441i | ||||
\(846\) | − | 8.88596e7i | − | 4.26853i | ||||||
\(847\) | −5.60255e6 | − | 1.35258e7i | −0.268335 | − | 0.647818i | ||||
\(848\) | 8.79954e6 | + | 8.79954e6i | 0.420214 | + | 0.420214i | ||||
\(849\) | 513863. | 0.0244669 | ||||||||
\(850\) | −209695. | + | 157821.i | −0.00995497 | + | 0.00749234i | ||||
\(851\) | 1.14408e7 | 0.541543 | ||||||||
\(852\) | 8.17922e7 | + | 8.17922e7i | 3.86023 | + | 3.86023i | ||||
\(853\) | −2.57282e6 | − | 6.21133e6i | −0.121070 | − | 0.292289i | 0.851712 | − | 0.524010i | \(-0.175564\pi\) |
−0.972782 | + | 0.231721i | \(0.925564\pi\) | |||||||
\(854\) | 1.17665e7i | 0.552080i | ||||||||
\(855\) | 1.23568e7 | − | 5.11837e6i | 0.578085 | − | 0.239451i | ||||
\(856\) | −7.18074e6 | + | 1.73358e7i | −0.334954 | + | 0.808649i | ||||
\(857\) | 3.54534e7 | + | 1.46853e7i | 1.64894 | + | 0.683015i | 0.997154 | − | 0.0753853i | \(-0.0240187\pi\) |
0.651789 | + | 0.758400i | \(0.274019\pi\) | |||||||
\(858\) | −1.78164e6 | + | 1.78164e6i | −0.0826231 | + | 0.0826231i | ||||
\(859\) | −1.70091e7 | + | 1.70091e7i | −0.786500 | + | 0.786500i | −0.980919 | − | 0.194419i | \(-0.937718\pi\) |
0.194419 | + | 0.980919i | \(0.437718\pi\) | |||||||
\(860\) | −6.47214e7 | − | 2.68085e7i | −2.98402 | − | 1.23602i | ||||
\(861\) | −5.97136e6 | + | 1.44161e7i | −0.274515 | + | 0.662737i | ||||
\(862\) | −4.99436e7 | + | 2.06873e7i | −2.28935 | + | 0.948279i | ||||
\(863\) | 367366.i | 0.0167908i | 0.999965 | + | 0.00839540i | \(0.00267237\pi\) | ||||
−0.999965 | + | 0.00839540i | \(0.997328\pi\) | |||||||
\(864\) | 1.64421e7 | + | 3.96949e7i | 0.749332 | + | 1.80905i | ||||
\(865\) | −8.56805e6 | − | 8.56805e6i | −0.389351 | − | 0.389351i | ||||
\(866\) | −5.84375e7 | −2.64787 | ||||||||
\(867\) | −3.54127e7 | + | 3.99218e6i | −1.59997 | + | 0.180369i | ||||
\(868\) | −4.79859e7 | −2.16179 | ||||||||
\(869\) | 358240. | + | 358240.i | 0.0160925 | + | 0.0160925i | ||||
\(870\) | 2.56935e7 | + | 6.20297e7i | 1.15087 | + | 2.77844i | ||||
\(871\) | − | 1.04808e7i | − | 0.468112i | ||||||
\(872\) | −4.61708e7 | + | 1.91246e7i | −2.05625 | + | 0.851727i | ||||
\(873\) | 1.24033e7 | − | 2.99442e7i | 0.550810 | − | 1.32977i | ||||
\(874\) | 2.25762e7 | + | 9.35136e6i | 0.999705 | + | 0.414091i | ||||
\(875\) | 1.13750e7 | − | 1.13750e7i | 0.502263 | − | 0.502263i | ||||
\(876\) | 6.64692e7 | − | 6.64692e7i | 2.92658 | − | 2.92658i | ||||
\(877\) | 6.11015e6 | + | 2.53091e6i | 0.268258 | + | 0.111116i | 0.512758 | − | 0.858533i | \(-0.328624\pi\) |
−0.244500 | + | 0.969649i | \(0.578624\pi\) | |||||||
\(878\) | 2.36143e7 | − | 5.70101e7i | 1.03381 | − | 2.49583i | ||||
\(879\) | 8.93842e6 | − | 3.70241e6i | 0.390201 | − | 0.161627i | ||||
\(880\) | − | 5.71826e6i | − | 0.248918i | ||||||
\(881\) | −1313.42 | − | 3170.88i | −5.70118e−5 | − | 0.000137639i | 0.923851 | − | 0.382752i | \(-0.125024\pi\) |
−0.923908 | + | 0.382615i | \(0.875024\pi\) | |||||||
\(882\) | −2.41052e7 | − | 2.41052e7i | −1.04337 | − | 1.04337i | ||||
\(883\) | 4.47460e7 | 1.93131 | 0.965655 | − | 0.259826i | \(-0.0836653\pi\) | ||||
0.965655 | + | 0.259826i | \(0.0836653\pi\) | |||||||
\(884\) | −1.81894e7 | + | 1.36898e7i | −0.782866 | + | 0.589204i | ||||
\(885\) | −5.45358e7 | −2.34058 | ||||||||
\(886\) | 6.12679e7 | + | 6.12679e7i | 2.62210 | + | 2.62210i | ||||
\(887\) | −1.29673e7 | − | 3.13059e7i | −0.553402 | − | 1.33603i | −0.914908 | − | 0.403662i | \(-0.867737\pi\) |
0.361506 | − | 0.932370i | \(-0.382263\pi\) | |||||||
\(888\) | − | 3.73763e7i | − | 1.59061i | ||||||
\(889\) | 1.79633e7 | − | 7.44066e6i | 0.762312 | − | 0.315760i | ||||
\(890\) | −1.63534e7 | + | 3.94805e7i | −0.692041 | + | 1.67074i | ||||
\(891\) | −121051. | − | 50140.8i | −0.00510826 | − | 0.00211591i | ||||
\(892\) | −3.14166e7 | + | 3.14166e7i | −1.32205 | + | 1.32205i | ||||
\(893\) | −9.58608e6 | + | 9.58608e6i | −0.402265 | + | 0.402265i | ||||
\(894\) | 4.85176e7 | + | 2.00967e7i | 2.03028 | + | 0.840969i | ||||
\(895\) | −1.33962e7 | + | 3.23414e7i | −0.559018 | + | 1.34959i | ||||
\(896\) | 4.44938e6 | − | 1.84299e6i | 0.185152 | − | 0.0766926i | ||||
\(897\) | 2.29179e7i | 0.951030i | ||||||||
\(898\) | −7.79691e6 | − | 1.88234e7i | −0.322650 | − | 0.778946i | ||||
\(899\) | −2.15378e7 | − | 2.15378e7i | −0.888797 | − | 0.888797i | ||||
\(900\) | 636095. | 0.0261767 | ||||||||
\(901\) | 5.61009e6 | + | 791844.i | 0.230228 | + | 0.0324958i | ||||
\(902\) | 2.79140e6 | 0.114237 | ||||||||
\(903\) | −2.61150e7 | − | 2.61150e7i | −1.06579 | − | 1.06579i | ||||
\(904\) | −3.56248e7 | − | 8.60058e7i | −1.44988 | − | 3.50031i | ||||
\(905\) | − | 3.84555e6i | − | 0.156076i | ||||||
\(906\) | −2.15120e6 | + | 891055.i | −0.0870682 | + | 0.0360648i | ||||
\(907\) | −5.83197e6 | + | 1.40796e7i | −0.235395 | + | 0.568294i | −0.996796 | − | 0.0799877i | \(-0.974512\pi\) |
0.761401 | + | 0.648281i | \(0.224512\pi\) | |||||||
\(908\) | −6.65856e7 | − | 2.75806e7i | −2.68019 | − | 1.11017i | ||||
\(909\) | −2.49252e7 | + | 2.49252e7i | −1.00053 | + | 1.00053i | ||||
\(910\) | 9.25594e6 | − | 9.25594e6i | 0.370524 | − | 0.370524i | ||||
\(911\) | 1.18615e7 | + | 4.91317e6i | 0.473524 | + | 0.196140i | 0.606666 | − | 0.794957i | \(-0.292507\pi\) |
−0.133142 | + | 0.991097i | \(0.542507\pi\) | |||||||
\(912\) | 1.55956e7 | − | 3.76510e7i | 0.620889 | − | 1.49896i | ||||
\(913\) | 2.40649e6 | − | 996799.i | 0.0955447 | − | 0.0395759i | ||||
\(914\) | 6.85533e7i | 2.71433i | ||||||||
\(915\) | −6.52857e6 | − | 1.57614e7i | −0.257790 | − | 0.622359i | ||||
\(916\) | 8.06872e7 | + | 8.06872e7i | 3.17736 | + | 3.17736i | ||||
\(917\) | 6.72521e6 | 0.264109 | ||||||||
\(918\) | 3.89704e7 | + | 2.29865e7i | 1.52626 | + | 0.900257i | ||||
\(919\) | −3.68255e7 | −1.43833 | −0.719167 | − | 0.694837i | \(-0.755477\pi\) | ||||
−0.719167 | + | 0.694837i | \(0.755477\pi\) | |||||||
\(920\) | −7.20449e7 | − | 7.20449e7i | −2.80630 | − | 2.80630i | ||||
\(921\) | 3.63756e6 | + | 8.78185e6i | 0.141306 | + | 0.341143i | ||||
\(922\) | 1.95147e7i | 0.756021i | ||||||||
\(923\) | 1.32250e7 | − | 5.47799e6i | 0.510967 | − | 0.211649i | ||||
\(924\) | 2.71127e6 | − | 6.54559e6i | 0.104470 | − | 0.252214i | ||||
\(925\) | −59104.3 | − | 24481.8i | −0.00227125 | − | 0.000940781i | ||||
\(926\) | 1.15791e7 | − | 1.15791e7i | 0.443760 | − | 0.443760i | ||||
\(927\) | −2.54453e7 | + | 2.54453e7i | −0.972542 | + | 0.972542i | ||||
\(928\) | 5.01942e7 | + | 2.07911e7i | 1.91330 | + | 0.792515i | ||||
\(929\) | 3.00600e6 | − | 7.25713e6i | 0.114275 | − | 0.275883i | −0.856386 | − | 0.516336i | \(-0.827296\pi\) |
0.970661 | + | 0.240452i | \(0.0772957\pi\) | |||||||
\(930\) | 9.05041e7 | − | 3.74880e7i | 3.43132 | − | 1.42130i | ||||
\(931\) | 5.20090e6i | 0.196655i | ||||||||
\(932\) | −273025. | − | 659142.i | −0.0102959 | − | 0.0248564i | ||||
\(933\) | 5.00106e6 | + | 5.00106e6i | 0.188086 | + | 0.188086i | ||||
\(934\) | 3.03844e6 | 0.113968 | ||||||||
\(935\) | −1.56553e6 | − | 2.08010e6i | −0.0585643 | − | 0.0778136i | ||||
\(936\) | 4.59906e7 | 1.71585 | ||||||||
\(937\) | −2.42566e7 | − | 2.42566e7i | −0.902569 | − | 0.902569i | 0.0930886 | − | 0.995658i | \(-0.470326\pi\) |
−0.995658 | + | 0.0930886i | \(0.970326\pi\) | |||||||
\(938\) | 1.58797e7 | + | 3.83369e7i | 0.589297 | + | 1.42269i | ||||
\(939\) | 3.57235e7i | 1.32218i | ||||||||
\(940\) | 8.82157e7 | − | 3.65402e7i | 3.25631 | − | 1.34881i | ||||
\(941\) | −1.39360e7 | + | 3.36446e7i | −0.513057 | + | 1.23863i | 0.429040 | + | 0.903286i | \(0.358852\pi\) |
−0.942096 | + | 0.335343i | \(0.891148\pi\) | |||||||
\(942\) | 1.67877e7 | + | 6.95369e6i | 0.616402 | + | 0.255322i | ||||
\(943\) | 1.79534e7 | − | 1.79534e7i | 0.657459 | − | 0.657459i | ||||
\(944\) | −7.21755e7 | + | 7.21755e7i | −2.63609 | + | 2.63609i | ||||
\(945\) | −1.70700e7 | − | 7.07063e6i | −0.621805 | − | 0.257560i | ||||
\(946\) | −2.52832e6 | + | 6.10391e6i | −0.0918554 | + | 0.221759i | ||||
\(947\) | −2.64672e7 | + | 1.09631e7i | −0.959031 | + | 0.397244i | −0.806618 | − | 0.591073i | \(-0.798705\pi\) |
−0.152413 | + | 0.988317i | \(0.548705\pi\) | |||||||
\(948\) | − | 2.54309e7i | − | 0.919052i | ||||||
\(949\) | −4.45174e6 | − | 1.07474e7i | −0.160459 | − | 0.387382i | ||||
\(950\) | −96619.9 | − | 96619.9i | −0.00347342 | − | 0.00347342i | ||||
\(951\) | −4.05767e7 | −1.45487 | ||||||||
\(952\) | 2.71080e7 | − | 4.59578e7i | 0.969404 | − | 1.64349i | ||||
\(953\) | −8.06993e6 | −0.287831 | −0.143915 | − | 0.989590i | \(-0.545969\pi\) | ||||
−0.143915 | + | 0.989590i | \(0.545969\pi\) | |||||||
\(954\) | −1.36717e7 | − | 1.36717e7i | −0.486354 | − | 0.486354i | ||||
\(955\) | −7.62314e6 | − | 1.84039e7i | −0.270474 | − | 0.652982i | ||||
\(956\) | − | 5.69247e7i | − | 2.01445i | ||||||
\(957\) | 4.15482e6 | − | 1.72098e6i | 0.146647 | − | 0.0607431i | ||||
\(958\) | 7.19687e6 | − | 1.73748e7i | 0.253355 | − | 0.611654i | ||||
\(959\) | −3.79076e6 | − | 1.57019e6i | −0.133101 | − | 0.0551321i | ||||
\(960\) | −4.07413e7 | + | 4.07413e7i | −1.42678 | + | 1.42678i | ||||
\(961\) | −1.11808e7 | + | 1.11808e7i | −0.390539 | + | 0.390539i | ||||
\(962\) | −7.21869e6 | − | 2.99008e6i | −0.251490 | − | 0.104170i | ||||
\(963\) | 5.69533e6 | − | 1.37497e7i | 0.197903 | − | 0.477781i | ||||
\(964\) | −7.77562e7 | + | 3.22077e7i | −2.69490 | + | 1.11626i | ||||
\(965\) | − | 7.86070e6i | − | 0.271733i | ||||||
\(966\) | −3.47234e7 | − | 8.38296e7i | −1.19723 | − | 2.89038i | ||||
\(967\) | 1.33750e7 | + | 1.33750e7i | 0.459969 | + | 0.459969i | 0.898645 | − | 0.438676i | \(-0.144552\pi\) |
−0.438676 | + | 0.898645i | \(0.644552\pi\) | |||||||
\(968\) | 7.78243e7 | 2.66948 | ||||||||
\(969\) | −4.63490e6 | − | 1.79658e7i | −0.158574 | − | 0.614664i | ||||
\(970\) | 4.90380e7 | 1.67341 | ||||||||
\(971\) | −1.41611e7 | − | 1.41611e7i | −0.482001 | − | 0.482001i | 0.423769 | − | 0.905770i | \(-0.360707\pi\) |
−0.905770 | + | 0.423769i | \(0.860707\pi\) | |||||||
\(972\) | 2.88694e7 | + | 6.96969e7i | 0.980103 | + | 2.36618i | ||||
\(973\) | − | 1.01862e7i | − | 0.344928i | ||||||
\(974\) | −2.23009e7 | + | 9.23734e6i | −0.753226 | + | 0.311997i | ||||
\(975\) | 49041.3 | − | 118396.i | 0.00165215 | − | 0.00398865i | ||||
\(976\) | −2.94997e7 | − | 1.22192e7i | −0.991272 | − | 0.410598i | ||||
\(977\) | 3.50762e7 | − | 3.50762e7i | 1.17565 | − | 1.17565i | 0.194804 | − | 0.980842i | \(-0.437593\pi\) |
0.980842 | − | 0.194804i | \(-0.0624071\pi\) | |||||||
\(978\) | −3.11297e7 | + | 3.11297e7i | −1.04070 | + | 1.04070i | ||||
\(979\) | 2.64445e6 | + | 1.09537e6i | 0.0881817 | + | 0.0365261i | ||||
\(980\) | 1.40182e7 | − | 3.38429e7i | 0.466259 | − | 1.12565i | ||||
\(981\) | 3.66199e7 | − | 1.51685e7i | 1.21491 | − | 0.503233i | ||||
\(982\) | 5.27066e7i | 1.74416i | ||||||||
\(983\) | −4.67237e6 | − | 1.12801e7i | −0.154225 | − | 0.372331i | 0.827816 | − | 0.560999i | \(-0.189583\pi\) |
−0.982041 | + | 0.188668i | \(0.939583\pi\) | |||||||
\(984\) | −5.86527e7 | − | 5.86527e7i | −1.93108 | − | 1.93108i | ||||
\(985\) | 3.88009e7 | 1.27424 | ||||||||
\(986\) | 5.53980e7 | − | 1.42918e7i | 1.81469 | − | 0.468161i | ||||
\(987\) | 5.03388e7 | 1.64479 | ||||||||
\(988\) | −8.38104e6 | − | 8.38104e6i | −0.273153 | − | 0.273153i | ||||
\(989\) | 2.29971e7 | + | 5.55199e7i | 0.747623 | + | 1.80492i | ||||
\(990\) | 8.88438e6i | 0.288097i | ||||||||
\(991\) | −1.51997e7 | + | 6.29594e6i | −0.491646 | + | 0.203646i | −0.614711 | − | 0.788752i | \(-0.710727\pi\) |
0.123066 | + | 0.992399i | \(0.460727\pi\) | |||||||
\(992\) | 3.03352e7 | − | 7.32355e7i | 0.978739 | − | 2.36289i | ||||
\(993\) | 5.44619e7 | + | 2.25589e7i | 1.75275 | + | 0.726013i | ||||
\(994\) | −4.00750e7 | + | 4.00750e7i | −1.28649 | + | 1.28649i | ||||
\(995\) | 7.80468e6 | − | 7.80468e6i | 0.249918 | − | 0.249918i | ||||
\(996\) | −1.20797e8 | − | 5.00357e7i | −3.85840 | − | 1.59820i | ||||
\(997\) | 2.10363e6 | − | 5.07862e6i | 0.0670243 | − | 0.161811i | −0.886818 | − | 0.462119i | \(-0.847089\pi\) |
0.953842 | + | 0.300308i | \(0.0970894\pi\) | |||||||
\(998\) | 5.84863e7 | − | 2.42258e7i | 1.85878 | − | 0.769932i | ||||
\(999\) | 1.10287e7i | 0.349633i |
(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 | 17.6.d.a.15.1 | yes | 28 | |
17.5 | odd | 16 | 289.6.a.j.1.28 | 28 | |||
17.8 | even | 8 | inner | 17.6.d.a.8.1 | ✓ | 28 | |
17.12 | odd | 16 | 289.6.a.j.1.27 | 28 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
17.6.d.a.8.1 | ✓ | 28 | 17.8 | even | 8 | inner | |
17.6.d.a.15.1 | yes | 28 | 1.1 | even | 1 | trivial | |
289.6.a.j.1.27 | 28 | 17.12 | odd | 16 | |||
289.6.a.j.1.28 | 28 | 17.5 | odd | 16 |