Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [23,5,Mod(5,23)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(23, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([1]))
N = Newforms(chi, 5, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("23.5");
S:= CuspForms(chi, 5);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 23 \) |
Weight: | \( k \) | \(=\) | \( 5 \) |
Character orbit: | \([\chi]\) | \(=\) | 23.d (of order \(22\), degree \(10\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.37750915093\) |
Analytic rank: | \(0\) |
Dimension: | \(70\) |
Relative dimension: | \(7\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 5.3 | ||
Character | \(\chi\) | \(=\) | 23.5 |
Dual form | 23.5.d.a.14.3 |
$q$-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 \(\left(\mathbb{Z}/23\mathbb{Z}\right)^\times\).
\(n\) | \(5\) |
\(\chi(n)\) | \(e\left(\frac{1}{22}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.880608 | − | 0.258570i | −0.220152 | − | 0.0646424i | 0.169796 | − | 0.985479i | \(-0.445689\pi\) |
−0.389948 | + | 0.920837i | \(0.627507\pi\) | |||||||
\(3\) | −5.57964 | + | 6.43925i | −0.619960 | + | 0.715472i | −0.975699 | − | 0.219113i | \(-0.929684\pi\) |
0.355739 | + | 0.934585i | \(0.384229\pi\) | |||||||
\(4\) | −12.7514 | − | 8.19486i | −0.796965 | − | 0.512179i | ||||
\(5\) | −17.0417 | − | 2.45023i | −0.681670 | − | 0.0980093i | −0.207223 | − | 0.978294i | \(-0.566443\pi\) |
−0.474447 | + | 0.880284i | \(0.657352\pi\) | |||||||
\(6\) | 6.57847 | − | 4.22773i | 0.182735 | − | 0.117437i | ||||
\(7\) | −31.0622 | + | 14.1856i | −0.633923 | + | 0.289503i | −0.706341 | − | 0.707871i | \(-0.749656\pi\) |
0.0724184 | + | 0.997374i | \(0.476928\pi\) | |||||||
\(8\) | 18.7264 | + | 21.6114i | 0.292600 | + | 0.337679i | ||||
\(9\) | 1.19597 | + | 8.31815i | 0.0147650 | + | 0.102693i | ||||
\(10\) | 14.3735 | + | 6.56417i | 0.143735 | + | 0.0656417i | ||||
\(11\) | −4.93571 | − | 16.8095i | −0.0407910 | − | 0.138921i | 0.936580 | − | 0.350454i | \(-0.113973\pi\) |
−0.977371 | + | 0.211533i | \(0.932155\pi\) | |||||||
\(12\) | 123.917 | − | 36.3854i | 0.860536 | − | 0.252676i | ||||
\(13\) | 36.7819 | − | 80.5412i | 0.217645 | − | 0.476575i | −0.769044 | − | 0.639196i | \(-0.779267\pi\) |
0.986689 | + | 0.162620i | \(0.0519946\pi\) | |||||||
\(14\) | 31.0216 | − | 4.46023i | 0.158274 | − | 0.0227563i | ||||
\(15\) | 110.864 | − | 96.0646i | 0.492731 | − | 0.426954i | ||||
\(16\) | 89.8450 | + | 196.733i | 0.350957 | + | 0.768489i | ||||
\(17\) | −93.0499 | − | 144.788i | −0.321972 | − | 0.500998i | 0.642107 | − | 0.766615i | \(-0.278061\pi\) |
−0.964079 | + | 0.265617i | \(0.914424\pi\) | |||||||
\(18\) | 1.09764 | − | 7.63426i | 0.00338778 | − | 0.0235625i | ||||
\(19\) | −247.644 | + | 385.342i | −0.685996 | + | 1.06743i | 0.307276 | + | 0.951620i | \(0.400583\pi\) |
−0.993271 | + | 0.115809i | \(0.963054\pi\) | |||||||
\(20\) | 197.228 | + | 170.899i | 0.493069 | + | 0.427247i | ||||
\(21\) | 81.9712 | − | 279.168i | 0.185876 | − | 0.633034i | ||||
\(22\) | 16.0788i | 0.0332206i | ||||||||
\(23\) | −506.246 | − | 153.478i | −0.956988 | − | 0.290129i | ||||
\(24\) | −243.648 | −0.423000 | ||||||||
\(25\) | −315.266 | − | 92.5703i | −0.504425 | − | 0.148113i | ||||
\(26\) | −53.2160 | + | 61.4145i | −0.0787219 | + | 0.0908499i | ||||
\(27\) | −640.825 | − | 411.833i | −0.879047 | − | 0.564929i | ||||
\(28\) | 512.337 | + | 73.6630i | 0.653492 | + | 0.0939579i | ||||
\(29\) | −213.791 | + | 137.395i | −0.254211 | + | 0.163372i | −0.661540 | − | 0.749910i | \(-0.730097\pi\) |
0.407329 | + | 0.913282i | \(0.366460\pi\) | |||||||
\(30\) | −122.468 | + | 55.9291i | −0.136075 | + | 0.0621434i | ||||
\(31\) | 1010.81 | + | 1166.53i | 1.05183 | + | 1.21387i | 0.976230 | + | 0.216735i | \(0.0695409\pi\) |
0.0755973 | + | 0.997138i | \(0.475914\pi\) | |||||||
\(32\) | −93.3632 | − | 649.355i | −0.0911750 | − | 0.634136i | ||||
\(33\) | 135.780 | + | 62.0086i | 0.124683 | + | 0.0569409i | ||||
\(34\) | 44.5025 | + | 151.562i | 0.0384970 | + | 0.131109i | ||||
\(35\) | 564.113 | − | 165.638i | 0.460500 | − | 0.135215i | ||||
\(36\) | 52.9157 | − | 115.869i | 0.0408300 | − | 0.0894052i | ||||
\(37\) | 53.4882 | − | 7.69045i | 0.0390710 | − | 0.00561756i | −0.122752 | − | 0.992437i | \(-0.539172\pi\) |
0.161823 | + | 0.986820i | \(0.448263\pi\) | |||||||
\(38\) | 317.715 | − | 275.302i | 0.220025 | − | 0.190652i | ||||
\(39\) | 313.395 | + | 686.239i | 0.206045 | + | 0.451176i | ||||
\(40\) | −266.178 | − | 414.181i | −0.166361 | − | 0.258863i | ||||
\(41\) | 391.398 | − | 2722.24i | 0.232837 | − | 1.61941i | −0.452898 | − | 0.891562i | \(-0.649610\pi\) |
0.685734 | − | 0.727852i | \(-0.259481\pi\) | |||||||
\(42\) | −144.369 | + | 224.642i | −0.0818418 | + | 0.127348i | ||||
\(43\) | 1916.75 | + | 1660.88i | 1.03664 | + | 0.898256i | 0.994899 | − | 0.100872i | \(-0.0321632\pi\) |
0.0417438 | + | 0.999128i | \(0.486709\pi\) | |||||||
\(44\) | −74.8138 | + | 254.793i | −0.0386435 | + | 0.131608i | ||||
\(45\) | − | 144.686i | − | 0.0714499i | ||||||
\(46\) | 406.120 | + | 266.054i | 0.191928 | + | 0.125734i | ||||
\(47\) | −1493.34 | −0.676026 | −0.338013 | − | 0.941141i | \(-0.609755\pi\) | ||||
−0.338013 | + | 0.941141i | \(0.609755\pi\) | |||||||
\(48\) | −1768.12 | − | 519.166i | −0.767412 | − | 0.225332i | ||||
\(49\) | −808.691 | + | 933.280i | −0.336814 | + | 0.388705i | ||||
\(50\) | 253.689 | + | 163.036i | 0.101476 | + | 0.0652145i | ||||
\(51\) | 1451.51 | + | 208.696i | 0.558060 | + | 0.0802369i | ||||
\(52\) | −1129.05 | + | 725.594i | −0.417547 | + | 0.268341i | ||||
\(53\) | 649.381 | − | 296.562i | 0.231179 | − | 0.105576i | −0.296458 | − | 0.955046i | \(-0.595805\pi\) |
0.527637 | + | 0.849470i | \(0.323078\pi\) | |||||||
\(54\) | 457.828 | + | 528.362i | 0.157005 | + | 0.181194i | ||||
\(55\) | 42.9259 | + | 298.557i | 0.0141904 | + | 0.0986964i | ||||
\(56\) | −888.256 | − | 405.653i | −0.283245 | − | 0.129354i | ||||
\(57\) | −1099.55 | − | 3744.71i | −0.338426 | − | 1.15257i | ||||
\(58\) | 223.793 | − | 65.7115i | 0.0665258 | − | 0.0195337i | ||||
\(59\) | −568.066 | + | 1243.89i | −0.163190 | + | 0.357337i | −0.973508 | − | 0.228654i | \(-0.926567\pi\) |
0.810317 | + | 0.585991i | \(0.199295\pi\) | |||||||
\(60\) | −2200.92 | + | 316.444i | −0.611366 | + | 0.0879012i | ||||
\(61\) | −4210.54 | + | 3648.45i | −1.13156 | + | 0.980503i | −0.999942 | − | 0.0107979i | \(-0.996563\pi\) |
−0.131619 | + | 0.991300i | \(0.542017\pi\) | |||||||
\(62\) | −588.494 | − | 1288.62i | −0.153094 | − | 0.335229i | ||||
\(63\) | −155.148 | − | 241.414i | −0.0390899 | − | 0.0608250i | ||||
\(64\) | 406.785 | − | 2829.25i | 0.0993128 | − | 0.690736i | ||||
\(65\) | −824.173 | + | 1282.44i | −0.195071 | + | 0.303536i | ||||
\(66\) | −103.535 | − | 89.7138i | −0.0237684 | − | 0.0205955i | ||||
\(67\) | 64.1177 | − | 218.365i | 0.0142833 | − | 0.0486444i | −0.952043 | − | 0.305964i | \(-0.901021\pi\) |
0.966326 | + | 0.257320i | \(0.0828394\pi\) | |||||||
\(68\) | 2608.79i | 0.564185i | ||||||||
\(69\) | 3812.96 | − | 2403.49i | 0.800873 | − | 0.504829i | ||||
\(70\) | −539.591 | −0.110121 | ||||||||
\(71\) | 9537.66 | + | 2800.51i | 1.89202 | + | 0.555546i | 0.993076 | + | 0.117476i | \(0.0374805\pi\) |
0.898941 | + | 0.438070i | \(0.144338\pi\) | |||||||
\(72\) | −157.371 | + | 181.616i | −0.0303570 | + | 0.0350339i | ||||
\(73\) | 55.5868 | + | 35.7235i | 0.0104310 | + | 0.00670360i | 0.545846 | − | 0.837886i | \(-0.316208\pi\) |
−0.535415 | + | 0.844589i | \(0.679845\pi\) | |||||||
\(74\) | −49.0907 | − | 7.05817i | −0.00896469 | − | 0.00128893i | ||||
\(75\) | 2355.15 | − | 1513.56i | 0.418694 | − | 0.269078i | ||||
\(76\) | 6315.65 | − | 2884.26i | 1.09343 | − | 0.499352i | ||||
\(77\) | 391.767 | + | 452.124i | 0.0660765 | + | 0.0762563i | ||||
\(78\) | −98.5373 | − | 685.342i | −0.0161961 | − | 0.112647i | ||||
\(79\) | 1994.03 | + | 910.645i | 0.319505 | + | 0.145913i | 0.568711 | − | 0.822537i | \(-0.307442\pi\) |
−0.249206 | + | 0.968451i | \(0.580170\pi\) | |||||||
\(80\) | −1049.07 | − | 3572.82i | −0.163918 | − | 0.558253i | ||||
\(81\) | 5574.35 | − | 1636.78i | 0.849619 | − | 0.249471i | ||||
\(82\) | −1048.56 | + | 2296.02i | −0.155942 | + | 0.341466i | ||||
\(83\) | −11271.3 | + | 1620.56i | −1.63612 | + | 0.235239i | −0.898181 | − | 0.439625i | \(-0.855111\pi\) |
−0.737942 | + | 0.674864i | \(0.764202\pi\) | |||||||
\(84\) | −3332.99 | + | 2888.06i | −0.472363 | + | 0.409305i | ||||
\(85\) | 1230.97 | + | 2695.44i | 0.170376 | + | 0.373072i | ||||
\(86\) | −1258.46 | − | 1958.19i | −0.170154 | − | 0.264764i | ||||
\(87\) | 308.156 | − | 2143.27i | 0.0407129 | − | 0.283165i | ||||
\(88\) | 270.849 | − | 421.449i | 0.0349753 | − | 0.0544227i | ||||
\(89\) | −5624.27 | − | 4873.46i | −0.710045 | − | 0.615258i | 0.223084 | − | 0.974799i | \(-0.428388\pi\) |
−0.933129 | + | 0.359542i | \(0.882933\pi\) | |||||||
\(90\) | −37.4115 | + | 127.412i | −0.00461870 | + | 0.0157298i | ||||
\(91\) | 3023.56i | 0.365121i | ||||||||
\(92\) | 5197.64 | + | 6105.69i | 0.614088 | + | 0.721371i | ||||
\(93\) | −13151.5 | −1.52058 | ||||||||
\(94\) | 1315.05 | + | 386.133i | 0.148829 | + | 0.0437000i | ||||
\(95\) | 5164.47 | − | 5960.12i | 0.572241 | − | 0.660401i | ||||
\(96\) | 4702.29 | + | 3021.98i | 0.510232 | + | 0.327906i | ||||
\(97\) | −8956.60 | − | 1287.77i | −0.951919 | − | 0.136865i | −0.351178 | − | 0.936309i | \(-0.614219\pi\) |
−0.600741 | + | 0.799444i | \(0.705128\pi\) | |||||||
\(98\) | 953.458 | − | 612.750i | 0.0992772 | − | 0.0638016i | ||||
\(99\) | 133.921 | − | 61.1595i | 0.0136640 | − | 0.00624013i | ||||
\(100\) | 3261.49 | + | 3763.96i | 0.326149 | + | 0.376396i | ||||
\(101\) | 585.438 | + | 4071.81i | 0.0573903 | + | 0.399158i | 0.998187 | + | 0.0601872i | \(0.0191698\pi\) |
−0.940797 | + | 0.338971i | \(0.889921\pi\) | |||||||
\(102\) | −1224.25 | − | 559.097i | −0.117671 | − | 0.0537387i | ||||
\(103\) | −2741.63 | − | 9337.15i | −0.258425 | − | 0.880116i | −0.981841 | − | 0.189703i | \(-0.939247\pi\) |
0.723416 | − | 0.690412i | \(-0.242571\pi\) | |||||||
\(104\) | 2429.41 | − | 713.338i | 0.224612 | − | 0.0659521i | ||||
\(105\) | −2080.96 | + | 4556.66i | −0.188749 | + | 0.413303i | ||||
\(106\) | −648.532 | + | 93.2448i | −0.0577191 | + | 0.00829876i | ||||
\(107\) | −15539.5 | + | 13465.0i | −1.35728 | + | 1.17609i | −0.390459 | + | 0.920620i | \(0.627684\pi\) |
−0.966818 | + | 0.255466i | \(0.917771\pi\) | |||||||
\(108\) | 4796.53 | + | 10502.9i | 0.411225 | + | 0.900458i | ||||
\(109\) | −7616.97 | − | 11852.2i | −0.641105 | − | 0.997579i | −0.997986 | − | 0.0634294i | \(-0.979796\pi\) |
0.356881 | − | 0.934150i | \(-0.383840\pi\) | |||||||
\(110\) | 39.3968 | − | 274.011i | 0.00325593 | − | 0.0226455i | ||||
\(111\) | −248.924 | + | 387.334i | −0.0202033 | + | 0.0314369i | ||||
\(112\) | −5581.57 | − | 4836.46i | −0.444960 | − | 0.385560i | ||||
\(113\) | 6389.89 | − | 21762.0i | 0.500422 | − | 1.70428i | −0.190790 | − | 0.981631i | \(-0.561105\pi\) |
0.691213 | − | 0.722651i | \(-0.257077\pi\) | |||||||
\(114\) | 3581.93i | 0.275618i | ||||||||
\(115\) | 8251.27 | + | 3855.96i | 0.623914 | + | 0.291566i | ||||
\(116\) | 3852.09 | 0.286273 | ||||||||
\(117\) | 713.944 | + | 209.633i | 0.0521545 | + | 0.0153140i | ||||
\(118\) | 821.875 | − | 948.495i | 0.0590258 | − | 0.0681194i | ||||
\(119\) | 4944.25 | + | 3177.48i | 0.349146 | + | 0.224382i | ||||
\(120\) | 4152.19 | + | 596.995i | 0.288346 | + | 0.0414580i | ||||
\(121\) | 12058.6 | − | 7749.59i | 0.823618 | − | 0.529307i | ||||
\(122\) | 4651.21 | − | 2124.14i | 0.312497 | − | 0.142713i | ||||
\(123\) | 15345.3 | + | 17709.4i | 1.01430 | + | 1.17056i | ||||
\(124\) | −3329.67 | − | 23158.4i | −0.216550 | − | 1.50614i | ||||
\(125\) | 14934.1 | + | 6820.16i | 0.955780 | + | 0.436490i | ||||
\(126\) | 74.2017 | + | 252.708i | 0.00467383 | + | 0.0159176i | ||||
\(127\) | −1629.44 | + | 478.448i | −0.101026 | + | 0.0296638i | −0.331855 | − | 0.943330i | \(-0.607674\pi\) |
0.230829 | + | 0.972994i | \(0.425856\pi\) | |||||||
\(128\) | −5450.19 | + | 11934.3i | −0.332653 | + | 0.728409i | ||||
\(129\) | −21389.6 | + | 3075.36i | −1.28535 | + | 0.184806i | ||||
\(130\) | 1057.37 | − | 916.219i | 0.0625665 | − | 0.0542142i | ||||
\(131\) | 7669.45 | + | 16793.8i | 0.446912 | + | 0.978600i | 0.990278 | + | 0.139104i | \(0.0444224\pi\) |
−0.543366 | + | 0.839496i | \(0.682850\pi\) | |||||||
\(132\) | −1223.24 | − | 1903.40i | −0.0702042 | − | 0.109240i | ||||
\(133\) | 2226.06 | − | 15482.6i | 0.125844 | − | 0.875266i | ||||
\(134\) | −112.925 | + | 175.715i | −0.00628899 | + | 0.00978586i | ||||
\(135\) | 9911.69 | + | 8588.53i | 0.543852 | + | 0.471250i | ||||
\(136\) | 1386.60 | − | 4722.31i | 0.0749673 | − | 0.255315i | ||||
\(137\) | 3693.53i | 0.196789i | 0.995148 | + | 0.0983943i | \(0.0313706\pi\) | ||||
−0.995148 | + | 0.0983943i | \(0.968629\pi\) | |||||||
\(138\) | −3979.19 | + | 1130.62i | −0.208947 | + | 0.0593688i | ||||
\(139\) | −20976.6 | −1.08569 | −0.542845 | − | 0.839833i | \(-0.682653\pi\) | ||||
−0.542845 | + | 0.839833i | \(0.682653\pi\) | |||||||
\(140\) | −8550.63 | − | 2510.69i | −0.436257 | − | 0.128097i | ||||
\(141\) | 8332.31 | − | 9616.00i | 0.419109 | − | 0.483678i | ||||
\(142\) | −7674.81 | − | 4932.30i | −0.380619 | − | 0.244609i | ||||
\(143\) | −1535.40 | − | 220.757i | −0.0750844 | − | 0.0107955i | ||||
\(144\) | −1529.00 | + | 982.631i | −0.0737367 | + | 0.0473877i | ||||
\(145\) | 3980.03 | − | 1817.62i | 0.189300 | − | 0.0864504i | ||||
\(146\) | −39.7132 | − | 45.8315i | −0.00186307 | − | 0.00215010i | ||||
\(147\) | −1497.41 | − | 10414.7i | −0.0692958 | − | 0.481963i | ||||
\(148\) | −745.074 | − | 340.264i | −0.0340154 | − | 0.0155343i | ||||
\(149\) | 2316.05 | + | 7887.75i | 0.104322 | + | 0.355288i | 0.995066 | − | 0.0992177i | \(-0.0316340\pi\) |
−0.890744 | + | 0.454506i | \(0.849816\pi\) | |||||||
\(150\) | −2465.33 | + | 723.885i | −0.109570 | + | 0.0321727i | ||||
\(151\) | −463.425 | + | 1014.76i | −0.0203248 | + | 0.0445051i | −0.919522 | − | 0.393038i | \(-0.871424\pi\) |
0.899197 | + | 0.437543i | \(0.144151\pi\) | |||||||
\(152\) | −12965.3 | + | 1864.13i | −0.561171 | + | 0.0806842i | ||||
\(153\) | 1093.09 | − | 947.165i | 0.0466951 | − | 0.0404616i | ||||
\(154\) | −228.088 | − | 499.443i | −0.00961747 | − | 0.0210593i | ||||
\(155\) | −14367.6 | − | 22356.5i | −0.598028 | − | 0.930550i | ||||
\(156\) | 1627.39 | − | 11318.8i | 0.0668718 | − | 0.465104i | ||||
\(157\) | −23681.1 | + | 36848.6i | −0.960735 | + | 1.49493i | −0.0943595 | + | 0.995538i | \(0.530080\pi\) |
−0.866375 | + | 0.499394i | \(0.833556\pi\) | |||||||
\(158\) | −1520.50 | − | 1317.52i | −0.0609076 | − | 0.0527767i | ||||
\(159\) | −1713.67 | + | 5836.24i | −0.0677851 | + | 0.230855i | ||||
\(160\) | 11294.9i | 0.441207i | ||||||||
\(161\) | 17902.3 | − | 2414.05i | 0.690649 | − | 0.0931312i | ||||
\(162\) | −5332.03 | −0.203172 | ||||||||
\(163\) | 7484.53 | + | 2197.66i | 0.281702 | + | 0.0827151i | 0.419531 | − | 0.907741i | \(-0.362194\pi\) |
−0.137830 | + | 0.990456i | \(0.544013\pi\) | |||||||
\(164\) | −27299.2 | + | 31505.0i | −1.01499 | + | 1.17136i | ||||
\(165\) | −2161.99 | − | 1389.43i | −0.0794120 | − | 0.0510350i | ||||
\(166\) | 10344.6 | + | 1487.33i | 0.375402 | + | 0.0539747i | ||||
\(167\) | 14754.2 | − | 9481.95i | 0.529033 | − | 0.339989i | −0.248703 | − | 0.968580i | \(-0.580004\pi\) |
0.777736 | + | 0.628591i | \(0.216368\pi\) | |||||||
\(168\) | 7568.25 | − | 3456.30i | 0.268149 | − | 0.122460i | ||||
\(169\) | 13569.5 | + | 15660.0i | 0.475106 | + | 0.548301i | ||||
\(170\) | −387.039 | − | 2691.92i | −0.0133924 | − | 0.0931459i | ||||
\(171\) | −3501.51 | − | 1599.08i | −0.119746 | − | 0.0546864i | ||||
\(172\) | −10830.7 | − | 36886.1i | −0.366101 | − | 1.24683i | ||||
\(173\) | 4816.23 | − | 1414.17i | 0.160922 | − | 0.0472509i | −0.200279 | − | 0.979739i | \(-0.564185\pi\) |
0.361201 | + | 0.932488i | \(0.382367\pi\) | |||||||
\(174\) | −825.551 | + | 1807.70i | −0.0272675 | + | 0.0597075i | ||||
\(175\) | 11106.0 | − | 1596.80i | 0.362646 | − | 0.0521406i | ||||
\(176\) | 2863.53 | − | 2481.27i | 0.0924436 | − | 0.0801028i | ||||
\(177\) | −4840.12 | − | 10598.4i | −0.154493 | − | 0.338293i | ||||
\(178\) | 3692.65 | + | 5745.87i | 0.116546 | + | 0.181349i | ||||
\(179\) | 2979.19 | − | 20720.7i | 0.0929806 | − | 0.646695i | −0.889027 | − | 0.457854i | \(-0.848618\pi\) |
0.982008 | − | 0.188840i | \(-0.0604728\pi\) | |||||||
\(180\) | −1185.68 | + | 1844.96i | −0.0365951 | + | 0.0569431i | ||||
\(181\) | 36428.3 | + | 31565.3i | 1.11194 | + | 0.963502i | 0.999545 | − | 0.0301618i | \(-0.00960225\pi\) |
0.112395 | + | 0.993664i | \(0.464148\pi\) | |||||||
\(182\) | 781.802 | − | 2662.57i | 0.0236023 | − | 0.0803820i | ||||
\(183\) | − | 47469.7i | − | 1.41747i | ||||||
\(184\) | −6163.29 | − | 13814.8i | −0.182044 | − | 0.408046i | ||||
\(185\) | −930.376 | −0.0271841 | ||||||||
\(186\) | 11581.3 | + | 3400.59i | 0.334760 | + | 0.0982943i | ||||
\(187\) | −1974.55 | + | 2278.75i | −0.0564658 | + | 0.0651650i | ||||
\(188\) | 19042.3 | + | 12237.7i | 0.538770 | + | 0.346246i | ||||
\(189\) | 25747.6 | + | 3701.94i | 0.720797 | + | 0.103635i | ||||
\(190\) | −6088.98 | + | 3913.15i | −0.168670 | + | 0.108397i | ||||
\(191\) | −32994.7 | + | 15068.2i | −0.904434 | + | 0.413041i | −0.812660 | − | 0.582738i | \(-0.801981\pi\) |
−0.0917746 | + | 0.995780i | \(0.529254\pi\) | |||||||
\(192\) | 15948.6 | + | 18405.6i | 0.432632 | + | 0.499284i | ||||
\(193\) | 4196.06 | + | 29184.3i | 0.112649 | + | 0.783491i | 0.965325 | + | 0.261051i | \(0.0840691\pi\) |
−0.852676 | + | 0.522440i | \(0.825022\pi\) | |||||||
\(194\) | 7554.28 | + | 3449.92i | 0.200719 | + | 0.0916655i | ||||
\(195\) | −3659.35 | − | 12462.6i | −0.0962354 | − | 0.327748i | ||||
\(196\) | 17960.1 | − | 5273.55i | 0.467516 | − | 0.137275i | ||||
\(197\) | 10491.0 | − | 22972.0i | 0.270323 | − | 0.591924i | −0.724976 | − | 0.688774i | \(-0.758149\pi\) |
0.995299 | + | 0.0968497i | \(0.0308766\pi\) | |||||||
\(198\) | −133.746 | + | 19.2297i | −0.00341153 | + | 0.000490504i | ||||
\(199\) | −10521.9 | + | 9117.26i | −0.265697 | + | 0.230228i | −0.777512 | − | 0.628868i | \(-0.783519\pi\) |
0.511815 | + | 0.859096i | \(0.328973\pi\) | |||||||
\(200\) | −3903.22 | − | 8546.85i | −0.0975804 | − | 0.213671i | ||||
\(201\) | 1048.35 | + | 1631.27i | 0.0259487 | + | 0.0403769i | ||||
\(202\) | 537.306 | − | 3737.05i | 0.0131680 | − | 0.0915853i | ||||
\(203\) | 4691.80 | − | 7300.58i | 0.113854 | − | 0.177160i | ||||
\(204\) | −16798.7 | − | 14556.1i | −0.403659 | − | 0.349772i | ||||
\(205\) | −13340.2 | + | 45432.6i | −0.317435 | + | 1.08109i | ||||
\(206\) | 8931.27i | 0.210464i | ||||||||
\(207\) | 671.200 | − | 4394.59i | 0.0156643 | − | 0.102560i | ||||
\(208\) | 19149.8 | 0.442627 | ||||||||
\(209\) | 7699.70 | + | 2260.84i | 0.176271 | + | 0.0517579i | ||||
\(210\) | 3010.72 | − | 3474.56i | 0.0682704 | − | 0.0787882i | ||||
\(211\) | −20820.5 | − | 13380.5i | −0.467656 | − | 0.300544i | 0.285509 | − | 0.958376i | \(-0.407837\pi\) |
−0.753165 | + | 0.657832i | \(0.771474\pi\) | |||||||
\(212\) | −10710.8 | − | 1539.99i | −0.238315 | − | 0.0342645i | ||||
\(213\) | −71249.9 | + | 45789.5i | −1.57045 | + | 1.00927i | ||||
\(214\) | 17165.8 | − | 7839.37i | 0.374832 | − | 0.171180i | ||||
\(215\) | −28595.3 | − | 33000.7i | −0.618611 | − | 0.713915i | ||||
\(216\) | −3100.05 | − | 21561.3i | −0.0664448 | − | 0.462134i | ||||
\(217\) | −47945.9 | − | 21896.2i | −1.01820 | − | 0.464995i | ||||
\(218\) | 3642.93 | + | 12406.7i | 0.0766546 | + | 0.261062i | ||||
\(219\) | −540.187 | + | 158.613i | −0.0112630 | + | 0.00330713i | ||||
\(220\) | 1899.26 | − | 4158.80i | 0.0392409 | − | 0.0859256i | ||||
\(221\) | −15084.0 | + | 2168.75i | −0.308839 | + | 0.0444043i | ||||
\(222\) | 319.358 | − | 276.725i | 0.00647994 | − | 0.00561490i | ||||
\(223\) | −16931.4 | − | 37074.7i | −0.340474 | − | 0.745535i | 0.659507 | − | 0.751699i | \(-0.270765\pi\) |
−0.999981 | + | 0.00616406i | \(0.998038\pi\) | |||||||
\(224\) | 12111.6 | + | 18846.0i | 0.241382 | + | 0.375598i | ||||
\(225\) | 392.966 | − | 2733.14i | 0.00776228 | − | 0.0539879i | ||||
\(226\) | −11254.0 | + | 17511.5i | −0.220338 | + | 0.342852i | ||||
\(227\) | −19594.1 | − | 16978.4i | −0.380254 | − | 0.329492i | 0.443672 | − | 0.896189i | \(-0.353675\pi\) |
−0.823926 | + | 0.566697i | \(0.808221\pi\) | |||||||
\(228\) | −16666.6 | + | 56761.2i | −0.320610 | + | 1.09190i | ||||
\(229\) | 42187.8i | 0.804480i | 0.915534 | + | 0.402240i | \(0.131768\pi\) | ||||
−0.915534 | + | 0.402240i | \(0.868232\pi\) | |||||||
\(230\) | −6269.09 | − | 5529.12i | −0.118508 | − | 0.104520i | ||||
\(231\) | −5097.26 | −0.0955240 | ||||||||
\(232\) | −6972.86 | − | 2047.42i | −0.129549 | − | 0.0380391i | ||||
\(233\) | 48014.8 | − | 55412.0i | 0.884429 | − | 1.02069i | −0.115197 | − | 0.993343i | \(-0.536750\pi\) |
0.999626 | − | 0.0273431i | \(-0.00870466\pi\) | |||||||
\(234\) | −574.500 | − | 369.208i | −0.0104920 | − | 0.00674279i | ||||
\(235\) | 25449.2 | + | 3659.04i | 0.460827 | + | 0.0662569i | ||||
\(236\) | 17437.2 | − | 11206.2i | 0.313077 | − | 0.201203i | ||||
\(237\) | −16989.9 | + | 7759.01i | −0.302477 | + | 0.138137i | ||||
\(238\) | −3532.35 | − | 4076.55i | −0.0623605 | − | 0.0719678i | ||||
\(239\) | 5065.15 | + | 35228.9i | 0.0886740 | + | 0.616742i | 0.984897 | + | 0.173139i | \(0.0553909\pi\) |
−0.896223 | + | 0.443603i | \(0.853700\pi\) | |||||||
\(240\) | 28859.7 | + | 13179.8i | 0.501037 | + | 0.228816i | ||||
\(241\) | 14663.8 | + | 49940.4i | 0.252472 | + | 0.859840i | 0.984021 | + | 0.178052i | \(0.0569794\pi\) |
−0.731549 | + | 0.681789i | \(0.761202\pi\) | |||||||
\(242\) | −12622.7 | + | 3706.36i | −0.215537 | + | 0.0632873i | ||||
\(243\) | 5068.60 | − | 11098.7i | 0.0858372 | − | 0.187957i | ||||
\(244\) | 83588.9 | − | 12018.3i | 1.40401 | − | 0.201866i | ||||
\(245\) | 16068.3 | − | 13923.2i | 0.267693 | − | 0.231957i | ||||
\(246\) | −8934.06 | − | 19562.9i | −0.147631 | − | 0.323268i | ||||
\(247\) | 21927.1 | + | 34119.2i | 0.359407 | + | 0.559249i | ||||
\(248\) | −6281.67 | + | 43690.0i | −0.102134 | + | 0.710360i | ||||
\(249\) | 52454.3 | − | 81620.6i | 0.846024 | − | 1.31644i | ||||
\(250\) | −11387.6 | − | 9867.38i | −0.182201 | − | 0.157878i | ||||
\(251\) | 26086.0 | − | 88840.7i | 0.414057 | − | 1.41015i | −0.443738 | − | 0.896156i | \(-0.646348\pi\) |
0.857795 | − | 0.513992i | \(-0.171834\pi\) | |||||||
\(252\) | 4349.80i | 0.0684964i | ||||||||
\(253\) | −81.2056 | + | 9267.26i | −0.00126866 | + | 0.144781i | ||||
\(254\) | 1558.61 | 0.0241586 | ||||||||
\(255\) | −24225.0 | − | 7113.09i | −0.372549 | − | 0.109390i | ||||
\(256\) | −22063.8 | + | 25463.0i | −0.336667 | + | 0.388534i | ||||
\(257\) | 4450.35 | + | 2860.06i | 0.0673795 | + | 0.0433021i | 0.573897 | − | 0.818928i | \(-0.305431\pi\) |
−0.506517 | + | 0.862230i | \(0.669067\pi\) | |||||||
\(258\) | 19631.0 | + | 2822.52i | 0.294920 | + | 0.0424030i | ||||
\(259\) | −1552.37 | + | 997.647i | −0.0231417 | + | 0.0148723i | ||||
\(260\) | 21018.8 | − | 9598.97i | 0.310929 | − | 0.141997i | ||||
\(261\) | −1398.56 | − | 1614.03i | −0.0205306 | − | 0.0236935i | ||||
\(262\) | −2411.42 | − | 16771.8i | −0.0351294 | − | 0.244330i | ||||
\(263\) | −60563.0 | − | 27658.2i | −0.875581 | − | 0.399864i | −0.0736520 | − | 0.997284i | \(-0.523465\pi\) |
−0.801929 | + | 0.597420i | \(0.796193\pi\) | |||||||
\(264\) | 1202.58 | + | 4095.60i | 0.0172546 | + | 0.0587637i | ||||
\(265\) | −11793.2 | + | 3462.81i | −0.167935 | + | 0.0493102i | ||||
\(266\) | −5963.61 | + | 13058.5i | −0.0842842 | + | 0.184557i | ||||
\(267\) | 62762.8 | − | 9023.93i | 0.880400 | − | 0.126582i | ||||
\(268\) | −2607.06 | + | 2259.03i | −0.0362979 | + | 0.0314523i | ||||
\(269\) | 21064.0 | + | 46123.6i | 0.291095 | + | 0.637410i | 0.997520 | − | 0.0703779i | \(-0.0224205\pi\) |
−0.706425 | + | 0.707788i | \(0.749693\pi\) | |||||||
\(270\) | −6507.58 | − | 10126.0i | −0.0892672 | − | 0.138902i | ||||
\(271\) | −12693.3 | + | 88284.1i | −0.172837 | + | 1.20211i | 0.700016 | + | 0.714127i | \(0.253176\pi\) |
−0.872853 | + | 0.487982i | \(0.837733\pi\) | |||||||
\(272\) | 20124.6 | − | 31314.5i | 0.272013 | − | 0.423261i | ||||
\(273\) | −19469.5 | − | 16870.4i | −0.261234 | − | 0.226360i | ||||
\(274\) | 955.034 | − | 3252.55i | 0.0127209 | − | 0.0433234i | ||||
\(275\) | 5756.35i | 0.0761170i | ||||||||
\(276\) | −68317.0 | − | 598.637i | −0.896831 | − | 0.00785860i | ||||
\(277\) | 131303. | 1.71126 | 0.855628 | − | 0.517591i | \(-0.173171\pi\) | ||||
0.855628 | + | 0.517591i | \(0.173171\pi\) | |||||||
\(278\) | 18472.2 | + | 5423.92i | 0.239017 | + | 0.0701817i | ||||
\(279\) | −8494.50 | + | 9803.17i | −0.109126 | + | 0.125938i | ||||
\(280\) | 14143.5 | + | 9089.47i | 0.180402 | + | 0.115937i | ||||
\(281\) | −146197. | − | 21020.0i | −1.85151 | − | 0.266207i | −0.875389 | − | 0.483419i | \(-0.839395\pi\) |
−0.976125 | + | 0.217212i | \(0.930304\pi\) | |||||||
\(282\) | −9823.91 | + | 6313.44i | −0.123534 | + | 0.0793904i | ||||
\(283\) | −45951.0 | + | 20985.1i | −0.573749 | + | 0.262022i | −0.681090 | − | 0.732200i | \(-0.738494\pi\) |
0.107341 | + | 0.994222i | \(0.465766\pi\) | |||||||
\(284\) | −98669.1 | − | 113870.i | −1.22333 | − | 1.41180i | ||||
\(285\) | 9562.79 | + | 66510.6i | 0.117732 | + | 0.818844i | ||||
\(286\) | 1295.00 | + | 591.409i | 0.0158321 | + | 0.00723029i | ||||
\(287\) | 26459.0 | + | 90110.9i | 0.321225 | + | 1.09399i | ||||
\(288\) | 5289.77 | − | 1553.22i | 0.0637752 | − | 0.0187261i | ||||
\(289\) | 22390.5 | − | 49028.3i | 0.268082 | − | 0.587017i | ||||
\(290\) | −3974.83 | + | 571.494i | −0.0472631 | + | 0.00679541i | ||||
\(291\) | 58266.9 | − | 50488.5i | 0.688075 | − | 0.596220i | ||||
\(292\) | −416.064 | − | 911.052i | −0.00487971 | − | 0.0106851i | ||||
\(293\) | 38266.5 | + | 59543.8i | 0.445742 | + | 0.693588i | 0.989318 | − | 0.145772i | \(-0.0465666\pi\) |
−0.543577 | + | 0.839360i | \(0.682930\pi\) | |||||||
\(294\) | −1374.30 | + | 9558.48i | −0.0158996 | + | 0.110584i | ||||
\(295\) | 12728.7 | − | 19806.2i | 0.146264 | − | 0.227592i | ||||
\(296\) | 1167.84 | + | 1011.94i | 0.0133291 | + | 0.0115497i | ||||
\(297\) | −3759.78 | + | 12804.6i | −0.0426235 | + | 0.145162i | ||||
\(298\) | − | 7544.88i | − | 0.0849610i | ||||||
\(299\) | −30982.1 | + | 35128.5i | −0.346552 | + | 0.392932i | ||||
\(300\) | −42435.0 | −0.471500 | ||||||||
\(301\) | −83099.2 | − | 24400.1i | −0.917200 | − | 0.269314i | ||||
\(302\) | 670.482 | − | 773.778i | 0.00735146 | − | 0.00848403i | ||||
\(303\) | −29486.0 | − | 18949.5i | −0.321166 | − | 0.206401i | ||||
\(304\) | −98059.2 | − | 14098.8i | −1.06106 | − | 0.152558i | ||||
\(305\) | 80694.4 | − | 51859.2i | 0.867449 | − | 0.557476i | ||||
\(306\) | −1207.49 | + | 551.442i | −0.0128956 | + | 0.00588920i | ||||
\(307\) | −50678.4 | − | 58485.9i | −0.537707 | − | 0.620547i | 0.420267 | − | 0.907400i | \(-0.361936\pi\) |
−0.957975 | + | 0.286853i | \(0.907391\pi\) | |||||||
\(308\) | −1290.51 | − | 8975.71i | −0.0136038 | − | 0.0946166i | ||||
\(309\) | 75421.6 | + | 34443.9i | 0.789912 | + | 0.360741i | ||||
\(310\) | 6871.54 | + | 23402.3i | 0.0715040 | + | 0.243520i | ||||
\(311\) | −88225.9 | + | 25905.5i | −0.912169 | + | 0.267837i | −0.703954 | − | 0.710246i | \(-0.748584\pi\) |
−0.208215 | + | 0.978083i | \(0.566766\pi\) | |||||||
\(312\) | −8961.85 | + | 19623.7i | −0.0920637 | + | 0.201591i | ||||
\(313\) | −24499.7 | + | 3522.53i | −0.250076 | + | 0.0359555i | −0.266213 | − | 0.963914i | \(-0.585772\pi\) |
0.0161367 | + | 0.999870i | \(0.494863\pi\) | |||||||
\(314\) | 30381.7 | − | 26325.9i | 0.308144 | − | 0.267008i | ||||
\(315\) | 2052.47 | + | 4494.27i | 0.0206850 | + | 0.0452938i | ||||
\(316\) | −17964.2 | − | 27952.9i | −0.179901 | − | 0.279932i | ||||
\(317\) | −23935.6 | + | 166476.i | −0.238192 | + | 1.65666i | 0.422768 | + | 0.906238i | \(0.361058\pi\) |
−0.660960 | + | 0.750421i | \(0.729851\pi\) | |||||||
\(318\) | 3018.15 | − | 4696.33i | 0.0298460 | − | 0.0464413i | ||||
\(319\) | 3364.76 | + | 2915.58i | 0.0330653 | + | 0.0286512i | ||||
\(320\) | −13864.7 | + | 47218.7i | −0.135397 | + | 0.461120i | ||||
\(321\) | − | 175192.i | − | 1.70022i | ||||||
\(322\) | −16389.1 | − | 2503.17i | −0.158068 | − | 0.0241423i | ||||
\(323\) | 78836.4 | 0.755652 | ||||||||
\(324\) | −84494.1 | − | 24809.7i | −0.804890 | − | 0.236337i | ||||
\(325\) | −19051.8 | + | 21987.0i | −0.180372 | + | 0.208161i | ||||
\(326\) | −6022.69 | − | 3870.55i | −0.0566703 | − | 0.0364198i | ||||
\(327\) | 118819. | + | 17083.7i | 1.11120 | + | 0.159766i | ||||
\(328\) | 66160.9 | − | 42519.0i | 0.614970 | − | 0.395217i | ||||
\(329\) | 46386.5 | − | 21184.0i | 0.428549 | − | 0.195712i | ||||
\(330\) | 1544.60 | + | 1782.57i | 0.0141837 | + | 0.0163688i | ||||
\(331\) | 9645.80 | + | 67088.0i | 0.0880405 | + | 0.612335i | 0.985300 | + | 0.170832i | \(0.0546455\pi\) |
−0.897260 | + | 0.441503i | \(0.854445\pi\) | |||||||
\(332\) | 157005. | + | 71701.8i | 1.42442 | + | 0.650510i | ||||
\(333\) | 127.940 | + | 435.725i | 0.00115377 | + | 0.00392938i | ||||
\(334\) | −15444.4 | + | 4534.89i | −0.138445 | + | 0.0406512i | ||||
\(335\) | −1627.72 | + | 3564.21i | −0.0145041 | + | 0.0317595i | ||||
\(336\) | 62286.3 | − | 8955.42i | 0.551714 | − | 0.0793245i | ||||
\(337\) | 153286. | − | 132823.i | 1.34971 | − | 1.16953i | 0.380086 | − | 0.924951i | \(-0.375894\pi\) |
0.969628 | − | 0.244583i | \(-0.0786510\pi\) | |||||||
\(338\) | −7900.19 | − | 17299.0i | −0.0691519 | − | 0.151422i | ||||
\(339\) | 104477. | + | 162570.i | 0.909124 | + | 1.41463i | ||||
\(340\) | 6392.15 | − | 44458.4i | 0.0552954 | − | 0.384588i | ||||
\(341\) | 14619.8 | − | 22748.8i | 0.125728 | − | 0.195636i | ||||
\(342\) | 2669.98 | + | 2313.55i | 0.0228274 | + | 0.0197800i | ||||
\(343\) | 34979.7 | − | 119130.i | 0.297323 | − | 1.01259i | ||||
\(344\) | 72526.0i | 0.612882i | ||||||||
\(345\) | −70868.6 | + | 31617.1i | −0.595409 | + | 0.265634i | ||||
\(346\) | −4606.87 | −0.0384817 | ||||||||
\(347\) | 117655. | + | 34546.6i | 0.977128 | + | 0.286911i | 0.731038 | − | 0.682336i | \(-0.239036\pi\) |
0.246090 | + | 0.969247i | \(0.420854\pi\) | |||||||
\(348\) | −21493.3 | + | 24804.5i | −0.177478 | + | 0.204820i | ||||
\(349\) | −137061. | − | 88083.6i | −1.12528 | − | 0.723176i | −0.160713 | − | 0.987001i | \(-0.551379\pi\) |
−0.964571 | + | 0.263825i | \(0.915016\pi\) | |||||||
\(350\) | −10192.9 | − | 1465.52i | −0.0832076 | − | 0.0119634i | ||||
\(351\) | −56740.4 | + | 36464.8i | −0.460551 | + | 0.295978i | ||||
\(352\) | −10454.5 | + | 4774.42i | −0.0843759 | + | 0.0385332i | ||||
\(353\) | −62461.7 | − | 72084.6i | −0.501261 | − | 0.578486i | 0.447578 | − | 0.894245i | \(-0.352287\pi\) |
−0.948840 | + | 0.315758i | \(0.897741\pi\) | |||||||
\(354\) | 1521.82 | + | 10584.5i | 0.0121439 | + | 0.0844626i | ||||
\(355\) | −155676. | − | 71095.0i | −1.23528 | − | 0.564134i | ||||
\(356\) | 31780.3 | + | 108234.i | 0.250760 | + | 0.854009i | ||||
\(357\) | −48047.7 | + | 14108.1i | −0.376996 | + | 0.110696i | ||||
\(358\) | −7981.26 | + | 17476.5i | −0.0622738 | + | 0.136361i | ||||
\(359\) | 55860.9 | − | 8031.58i | 0.433430 | − | 0.0623178i | 0.0778531 | − | 0.996965i | \(-0.475193\pi\) |
0.355577 | + | 0.934647i | \(0.384284\pi\) | |||||||
\(360\) | 3126.87 | − | 2709.45i | 0.0241271 | − | 0.0209063i | ||||
\(361\) | −33023.6 | − | 72311.5i | −0.253402 | − | 0.554872i | ||||
\(362\) | −23917.2 | − | 37215.9i | −0.182513 | − | 0.283995i | ||||
\(363\) | −17381.1 | + | 120888.i | −0.131906 | + | 0.917425i | ||||
\(364\) | 24777.7 | − | 38554.8i | 0.187007 | − | 0.290989i | ||||
\(365\) | −859.766 | − | 744.991i | −0.00645349 | − | 0.00559198i | ||||
\(366\) | −12274.2 | + | 41802.2i | −0.0916289 | + | 0.312059i | ||||
\(367\) | − | 83705.0i | − | 0.621469i | −0.950497 | − | 0.310734i | \(-0.899425\pi\) | ||
0.950497 | − | 0.310734i | \(-0.100575\pi\) | |||||||
\(368\) | −15289.5 | − | 113385.i | −0.112901 | − | 0.837257i | ||||
\(369\) | 23112.0 | 0.169741 | ||||||||
\(370\) | 819.296 | + | 240.567i | 0.00598463 | + | 0.00175725i | ||||
\(371\) | −15964.3 | + | 18423.8i | −0.115985 | + | 0.133854i | ||||
\(372\) | 167701. | + | 107775.i | 1.21185 | + | 0.778810i | ||||
\(373\) | 65419.8 | + | 9405.94i | 0.470209 | + | 0.0676059i | 0.373347 | − | 0.927692i | \(-0.378210\pi\) |
0.0968626 | + | 0.995298i | \(0.469119\pi\) | |||||||
\(374\) | 2328.02 | − | 1496.13i | 0.0166435 | − | 0.0106961i | ||||
\(375\) | −127243. | + | 58110.1i | −0.904842 | + | 0.413227i | ||||
\(376\) | −27964.9 | − | 32273.3i | −0.197805 | − | 0.228280i | ||||
\(377\) | 3202.33 | + | 22272.7i | 0.0225312 | + | 0.156708i | ||||
\(378\) | −21716.3 | − | 9917.50i | −0.151986 | − | 0.0694095i | ||||
\(379\) | −19063.3 | − | 64923.7i | −0.132715 | − | 0.451986i | 0.866141 | − | 0.499799i | \(-0.166593\pi\) |
−0.998856 | + | 0.0478135i | \(0.984775\pi\) | |||||||
\(380\) | −114697. | + | 33678.0i | −0.794299 | + | 0.233227i | ||||
\(381\) | 6010.87 | − | 13162.0i | 0.0414083 | − | 0.0906715i | ||||
\(382\) | 32951.5 | − | 4737.72i | 0.225813 | − | 0.0324670i | ||||
\(383\) | −20070.0 | + | 17390.7i | −0.136820 | + | 0.118555i | −0.720582 | − | 0.693369i | \(-0.756125\pi\) |
0.583762 | + | 0.811925i | \(0.301580\pi\) | |||||||
\(384\) | −46437.5 | − | 101684.i | −0.314925 | − | 0.689589i | ||||
\(385\) | −5568.59 | − | 8664.90i | −0.0375685 | − | 0.0584577i | ||||
\(386\) | 3851.08 | − | 26784.9i | 0.0258469 | − | 0.179769i | ||||
\(387\) | −11523.0 | + | 17930.2i | −0.0769387 | + | 0.119719i | ||||
\(388\) | 103657. | + | 89818.9i | 0.688547 | + | 0.596629i | ||||
\(389\) | −36733.1 | + | 125102.i | −0.242750 | + | 0.826730i | 0.744510 | + | 0.667611i | \(0.232683\pi\) |
−0.987260 | + | 0.159118i | \(0.949135\pi\) | |||||||
\(390\) | 11920.9i | 0.0783752i | ||||||||
\(391\) | 24884.3 | + | 87579.8i | 0.162769 | + | 0.572862i | ||||
\(392\) | −35313.4 | −0.229809 | ||||||||
\(393\) | −150932. | − | 44317.6i | −0.977229 | − | 0.286940i | ||||
\(394\) | −15178.3 | + | 17516.7i | −0.0977755 | + | 0.112839i | ||||
\(395\) | −31750.5 | − | 20404.8i | −0.203496 | − | 0.130779i | ||||
\(396\) | −2208.88 | − | 317.589i | −0.0140858 | − | 0.00202523i | ||||
\(397\) | −203959. | + | 131077.i | −1.29408 | + | 0.831658i | −0.992555 | − | 0.121799i | \(-0.961134\pi\) |
−0.301530 | + | 0.953457i | \(0.597497\pi\) | |||||||
\(398\) | 11623.1 | − | 5308.09i | 0.0733763 | − | 0.0335098i | ||||
\(399\) | 87275.6 | + | 100721.i | 0.548210 | + | 0.632668i | ||||
\(400\) | −10113.4 | − | 70340.2i | −0.0632087 | − | 0.439626i | ||||
\(401\) | −145594. | − | 66490.6i | −0.905431 | − | 0.413496i | −0.0924033 | − | 0.995722i | \(-0.529455\pi\) |
−0.813028 | + | 0.582225i | \(0.802182\pi\) | |||||||
\(402\) | −501.390 | − | 1707.58i | −0.00310259 | − | 0.0105664i | ||||
\(403\) | 131133. | − | 38504.2i | 0.807427 | − | 0.237082i | ||||
\(404\) | 25902.7 | − | 56719.1i | 0.158702 | − | 0.347509i | ||||
\(405\) | −99007.1 | + | 14235.1i | −0.603610 | + | 0.0867860i | ||||
\(406\) | −6019.34 | + | 5215.79i | −0.0365171 | + | 0.0316423i | ||||
\(407\) | −393.275 | − | 861.151i | −0.00237414 | − | 0.00519865i | ||||
\(408\) | 22671.4 | + | 35277.4i | 0.136194 | + | 0.211922i | ||||
\(409\) | 15541.2 | − | 108092.i | 0.0929050 | − | 0.646169i | −0.889156 | − | 0.457605i | \(-0.848708\pi\) |
0.982061 | − | 0.188564i | \(-0.0603834\pi\) | |||||||
\(410\) | 23495.0 | − | 36558.9i | 0.139768 | − | 0.217483i | ||||
\(411\) | −23783.5 | − | 20608.5i | −0.140797 | − | 0.122001i | ||||
\(412\) | −41556.8 | + | 141529.i | −0.244820 | + | 0.833782i | ||||
\(413\) | − | 46696.4i | − | 0.273768i | ||||||
\(414\) | −1727.37 | + | 3696.35i | −0.0100782 | + | 0.0215662i | ||||
\(415\) | 196053. | 1.13835 | ||||||||
\(416\) | −55734.0 | − | 16365.0i | −0.322057 | − | 0.0945646i | ||||
\(417\) | 117042. | − | 135074.i | 0.673085 | − | 0.776781i | ||||
\(418\) | −6195.83 | − | 3981.82i | −0.0354607 | − | 0.0227892i | ||||
\(419\) | 29883.1 | + | 4296.54i | 0.170215 | + | 0.0244732i | 0.226895 | − | 0.973919i | \(-0.427143\pi\) |
−0.0566804 | + | 0.998392i | \(0.518052\pi\) | |||||||
\(420\) | 63876.4 | − | 41050.9i | 0.362111 | − | 0.232715i | ||||
\(421\) | −24903.0 | + | 11372.8i | −0.140504 | + | 0.0641659i | −0.484426 | − | 0.874832i | \(-0.660972\pi\) |
0.343922 | + | 0.938998i | \(0.388244\pi\) | |||||||
\(422\) | 14874.9 | + | 17166.5i | 0.0835274 | + | 0.0963958i | ||||
\(423\) | −1785.99 | − | 12421.8i | −0.00998156 | − | 0.0694233i | ||||
\(424\) | 18569.7 | + | 8480.51i | 0.103294 | + | 0.0471726i | ||||
\(425\) | 15932.3 | + | 54260.5i | 0.0882066 | + | 0.300404i | ||||
\(426\) | 74583.0 | − | 21899.5i | 0.410980 | − | 0.120675i | ||||
\(427\) | 79033.0 | − | 173058.i | 0.433464 | − | 0.949153i | ||||
\(428\) | 308494. | − | 44354.8i | 1.68407 | − | 0.242133i | ||||
\(429\) | 9988.50 | − | 8655.08i | 0.0542732 | − | 0.0470280i | ||||
\(430\) | 16648.2 | + | 36454.6i | 0.0900392 | + | 0.197158i | ||||
\(431\) | −68225.2 | − | 106160.i | −0.367274 | − | 0.571490i | 0.607601 | − | 0.794243i | \(-0.292132\pi\) |
−0.974875 | + | 0.222753i | \(0.928496\pi\) | |||||||
\(432\) | 23446.3 | − | 163073.i | 0.125634 | − | 0.873804i | ||||
\(433\) | −124908. | + | 194360.i | −0.666213 | + | 1.03665i | 0.329501 | + | 0.944155i | \(0.393120\pi\) |
−0.995713 | + | 0.0924918i | \(0.970517\pi\) | |||||||
\(434\) | 36559.8 | + | 31679.3i | 0.194100 | + | 0.168188i | ||||
\(435\) | −10503.0 | + | 35770.1i | −0.0555056 | + | 0.189035i | ||||
\(436\) | 213553.i | 1.12340i | ||||||||
\(437\) | 184511. | − | 157070.i | 0.966182 | − | 0.822490i | ||||
\(438\) | 516.705 | 0.00269336 | ||||||||
\(439\) | 223841. | + | 65725.7i | 1.16148 | + | 0.341041i | 0.805007 | − | 0.593265i | \(-0.202161\pi\) |
0.356472 | + | 0.934306i | \(0.383980\pi\) | |||||||
\(440\) | −5648.39 | + | 6518.58i | −0.0291755 | + | 0.0336704i | ||||
\(441\) | −8730.33 | − | 5610.64i | −0.0448904 | − | 0.0288493i | ||||
\(442\) | 13843.9 | + | 1990.45i | 0.0708618 | + | 0.0101884i | ||||
\(443\) | −107719. | + | 69226.5i | −0.548887 | + | 0.352748i | −0.785506 | − | 0.618854i | \(-0.787597\pi\) |
0.236619 | + | 0.971603i | \(0.423961\pi\) | |||||||
\(444\) | 6348.29 | − | 2899.17i | 0.0322026 | − | 0.0147064i | ||||
\(445\) | 83906.3 | + | 96833.0i | 0.423716 | + | 0.488994i | ||||
\(446\) | 5323.57 | + | 37026.2i | 0.0267629 | + | 0.186140i | ||||
\(447\) | −63714.0 | − | 29097.2i | −0.318874 | − | 0.145625i | ||||
\(448\) | 27499.1 | + | 93653.4i | 0.137013 | + | 0.466625i | ||||
\(449\) | 137779. | − | 40455.4i | 0.683422 | − | 0.200671i | 0.0784505 | − | 0.996918i | \(-0.475003\pi\) |
0.604971 | + | 0.796247i | \(0.293185\pi\) | |||||||
\(450\) | −1052.75 | + | 2305.21i | −0.00519879 | + | 0.0113838i | ||||
\(451\) | −47691.2 | + | 6856.96i | −0.234469 | + | 0.0337115i | ||||
\(452\) | −259817. | + | 225132.i | −1.27172 | + | 1.10195i | ||||
\(453\) | −3948.55 | − | 8646.11i | −0.0192416 | − | 0.0421332i | ||||
\(454\) | 12864.6 | + | 20017.7i | 0.0624145 | + | 0.0971188i | ||||
\(455\) | 7408.44 | − | 51526.8i | 0.0357852 | − | 0.248892i | ||||
\(456\) | 60338.1 | − | 93887.9i | 0.290176 | − | 0.451523i | ||||
\(457\) | −218671. | − | 189479.i | −1.04703 | − | 0.907254i | −0.0512162 | − | 0.998688i | \(-0.516310\pi\) |
−0.995811 | + | 0.0914332i | \(0.970855\pi\) | |||||||
\(458\) | 10908.5 | − | 37150.9i | 0.0520036 | − | 0.177108i | ||||
\(459\) | 131105.i | 0.622292i | ||||||||
\(460\) | −73616.5 | − | 116787.i | −0.347904 | − | 0.551923i | ||||
\(461\) | −106001. | −0.498778 | −0.249389 | − | 0.968403i | \(-0.580230\pi\) | ||||
−0.249389 | + | 0.968403i | \(0.580230\pi\) | |||||||
\(462\) | 4488.68 | + | 1318.00i | 0.0210298 | + | 0.00617491i | ||||
\(463\) | −98696.1 | + | 113901.i | −0.460403 | + | 0.531333i | −0.937717 | − | 0.347399i | \(-0.887065\pi\) |
0.477314 | + | 0.878733i | \(0.341610\pi\) | |||||||
\(464\) | −46238.3 | − | 29715.6i | −0.214766 | − | 0.138022i | ||||
\(465\) | 224125. | + | 32224.3i | 1.03654 | + | 0.149031i | ||||
\(466\) | −56610.1 | + | 36381.1i | −0.260688 | + | 0.167534i | ||||
\(467\) | −103963. | + | 47478.2i | −0.476699 | + | 0.217701i | −0.639250 | − | 0.768999i | \(-0.720755\pi\) |
0.162551 | + | 0.986700i | \(0.448028\pi\) | |||||||
\(468\) | −7385.90 | − | 8523.79i | −0.0337219 | − | 0.0389171i | ||||
\(469\) | 1106.01 | + | 7692.45i | 0.00502820 | + | 0.0349719i | ||||
\(470\) | −21464.6 | − | 9802.56i | −0.0971689 | − | 0.0443756i | ||||
\(471\) | −105145. | − | 358091.i | −0.473965 | − | 1.61418i | ||||
\(472\) | −37520.1 | + | 11016.9i | −0.168415 | + | 0.0494510i | ||||
\(473\) | 18457.9 | − | 40417.2i | 0.0825013 | − | 0.180653i | ||||
\(474\) | 16967.6 | − | 2439.58i | 0.0755205 | − | 0.0108582i | ||||
\(475\) | 113745. | − | 98560.6i | 0.504133 | − | 0.436834i | ||||
\(476\) | −37007.4 | − | 81034.9i | −0.163333 | − | 0.357650i | ||||
\(477\) | 3243.49 | + | 5046.97i | 0.0142553 | + | 0.0221816i | ||||
\(478\) | 4648.72 | − | 32332.5i | 0.0203459 | − | 0.141509i | ||||
\(479\) | −118592. | + | 184533.i | −0.516874 | + | 0.804272i | −0.997351 | − | 0.0727356i | \(-0.976827\pi\) |
0.480477 | + | 0.877007i | \(0.340463\pi\) | |||||||
\(480\) | −72730.7 | − | 63021.5i | −0.315672 | − | 0.273531i | ||||
\(481\) | 1348.00 | − | 4590.88i | 0.00582641 | − | 0.0198429i | ||||
\(482\) | − | 47769.5i | − | 0.205616i | ||||||
\(483\) | −84343.9 | + | 128747.i | −0.361542 | + | 0.551878i | ||||
\(484\) | −217271. | −0.927495 | ||||||||
\(485\) | 149481. | + | 43891.5i | 0.635480 | + | 0.186594i | ||||
\(486\) | −7333.23 | + | 8463.00i | −0.0310472 | + | 0.0358304i | ||||
\(487\) | 201059. | + | 129213.i | 0.847744 | + | 0.544812i | 0.890870 | − | 0.454258i | \(-0.150095\pi\) |
−0.0431262 | + | 0.999070i | \(0.513732\pi\) | |||||||
\(488\) | −157696. | − | 22673.3i | −0.662190 | − | 0.0952085i | ||||
\(489\) | −55912.2 | + | 35932.6i | −0.233824 | + | 0.150270i | ||||
\(490\) | −17750.0 | + | 8106.14i | −0.0739274 | + | 0.0337615i | ||||
\(491\) | 131264. | + | 151487.i | 0.544480 | + | 0.628364i | 0.959588 | − | 0.281409i | \(-0.0908016\pi\) |
−0.415108 | + | 0.909772i | \(0.636256\pi\) | |||||||
\(492\) | −50548.6 | − | 351573.i | −0.208823 | − | 1.45240i | ||||
\(493\) | 39786.5 | + | 18169.9i | 0.163698 | + | 0.0747582i | ||||
\(494\) | −10487.0 | − | 35715.3i | −0.0429730 | − | 0.146353i | ||||
\(495\) | −2432.10 | + | 714.129i | −0.00992592 | + | 0.00291451i | ||||
\(496\) | −138680. | + | 303666.i | −0.563702 | + | 1.23434i | ||||
\(497\) | −335988. | + | 48307.8i | −1.36022 | + | 0.195571i | ||||
\(498\) | −67296.3 | + | 58312.6i | −0.271352 | + | 0.235128i | ||||
\(499\) | 64235.0 | + | 140655.i | 0.257971 | + | 0.564878i | 0.993658 | − | 0.112444i | \(-0.0358679\pi\) |
−0.735687 | + | 0.677322i | \(0.763141\pi\) | |||||||
\(500\) | −134541. | − | 209349.i | −0.538163 | − | 0.837397i | ||||
\(501\) | −21266.5 | + | 147912.i | −0.0847268 | + | 0.589288i | ||||
\(502\) | −45943.1 | + | 71488.8i | −0.182311 | + | 0.283681i | ||||
\(503\) | 227472. | + | 197105.i | 0.899066 | + | 0.779045i | 0.975950 | − | 0.217995i | \(-0.0699516\pi\) |
−0.0768838 | + | 0.997040i | \(0.524497\pi\) | |||||||
\(504\) | 2311.95 | − | 7873.79i | 0.00910161 | − | 0.0309972i | ||||
\(505\) | − | 70825.3i | − | 0.277719i | ||||||
\(506\) | 2467.74 | − | 8139.83i | 0.00963827 | − | 0.0317917i | ||||
\(507\) | −176552. | −0.686841 | ||||||||
\(508\) | 24698.6 | + | 7252.16i | 0.0957072 | + | 0.0281022i | ||||
\(509\) | 220618. | − | 254607.i | 0.851542 | − | 0.982732i | −0.148439 | − | 0.988922i | \(-0.547425\pi\) |
0.999981 | + | 0.00618954i | \(0.00197020\pi\) | |||||||
\(510\) | 19493.5 | + | 12527.7i | 0.0749461 | + | 0.0481649i | ||||
\(511\) | −2233.41 | − | 321.116i | −0.00855316 | − | 0.00122976i | ||||
\(512\) | 202608. | − | 130208.i | 0.772887 | − | 0.496704i | ||||
\(513\) | 317394. | − | 144949.i | 1.20604 | − | 0.550782i | ||||
\(514\) | −3179.48 | − | 3669.32i | −0.0120346 | − | 0.0138886i | ||||
\(515\) | 23844.0 | + | 165839.i | 0.0899012 | + | 0.625276i | ||||
\(516\) | 297950. | + | 136069.i | 1.11904 | + | 0.511047i | ||||
\(517\) | 7370.70 | + | 25102.3i | 0.0275758 | + | 0.0939145i | ||||
\(518\) | 1624.99 | − | 477.140i | 0.00605607 | − | 0.00177822i | ||||
\(519\) | −17766.6 | + | 38903.5i | −0.0659584 | + | 0.144429i | ||||
\(520\) | −43149.2 | + | 6203.91i | −0.159575 | + | 0.0229435i | ||||
\(521\) | −32697.3 | + | 28332.4i | −0.120458 | + | 0.104378i | −0.713007 | − | 0.701157i | \(-0.752667\pi\) |
0.592549 | + | 0.805535i | \(0.298122\pi\) | |||||||
\(522\) | 814.247 | + | 1782.95i | 0.00298824 | + | 0.00654333i | ||||
\(523\) | −151832. | − | 236255.i | −0.555085 | − | 0.863729i | 0.444400 | − | 0.895829i | \(-0.353417\pi\) |
−0.999485 | + | 0.0320997i | \(0.989781\pi\) | |||||||
\(524\) | 39825.8 | − | 276995.i | 0.145045 | − | 1.00881i | ||||
\(525\) | −51685.4 | + | 80424.0i | −0.187521 | + | 0.291788i | ||||
\(526\) | 46180.7 | + | 40015.8i | 0.166913 | + | 0.144631i | ||||
\(527\) | 74845.0 | − | 254899.i | 0.269489 | − | 0.917797i | ||||
\(528\) | 32283.6i | 0.115801i | ||||||||
\(529\) | 232730. | + | 155396.i | 0.831650 | + | 0.555300i | ||||
\(530\) | 11280.6 | 0.0401587 | ||||||||
\(531\) | −11026.2 | − | 3237.60i | −0.0391056 | − | 0.0114824i | ||||
\(532\) | −155263. | + | 179183.i | −0.548586 | + | 0.633102i | ||||
\(533\) | −204856. | − | 131653.i | −0.721097 | − | 0.463421i | ||||
\(534\) | −57602.7 | − | 8282.02i | −0.202004 | − | 0.0290438i | ||||
\(535\) | 297812. | − | 191392.i | 1.04048 | − | 0.668677i | ||||
\(536\) | 5919.87 | − | 2703.51i | 0.0206055 | − | 0.00941021i | ||||
\(537\) | 116803. | + | 134798.i | 0.405048 | + | 0.467450i | ||||
\(538\) | −6622.91 | − | 46063.3i | −0.0228815 | − | 0.159144i | ||||
\(539\) | 19679.4 | + | 8987.29i | 0.0677383 | + | 0.0309351i | ||||
\(540\) | −56006.6 | − | 190741.i | −0.192067 | − | 0.654119i | ||||
\(541\) | 356723. | − | 104743.i | 1.21881 | − | 0.357875i | 0.391794 | − | 0.920053i | \(-0.371855\pi\) |
0.827016 | + | 0.562178i | \(0.190036\pi\) | |||||||
\(542\) | 34005.5 | − | 74461.6i | 0.115758 | − | 0.253474i | ||||
\(543\) | −406513. | + | 58447.8i | −1.37872 | + | 0.198230i | ||||
\(544\) | −85331.7 | + | 73940.3i | −0.288345 | + | 0.249852i | ||||
\(545\) | 100766. | + | 220646.i | 0.339250 | + | 0.742854i | ||||
\(546\) | 12782.8 | + | 19890.4i | 0.0428786 | + | 0.0667204i | ||||
\(547\) | −17214.4 | + | 119729.i | −0.0575331 | + | 0.400151i | 0.940623 | + | 0.339453i | \(0.110242\pi\) |
−0.998156 | + | 0.0606985i | \(0.980667\pi\) | |||||||
\(548\) | 30267.9 | − | 47097.8i | 0.100791 | − | 0.156834i | ||||
\(549\) | −35384.0 | − | 30660.4i | −0.117398 | − | 0.101726i | ||||
\(550\) | 1488.42 | − | 5069.09i | 0.00492039 | − | 0.0167573i | ||||
\(551\) | − | 116408.i | − | 0.383425i | ||||||
\(552\) | 123346. | + | 37394.7i | 0.404806 | + | 0.122725i | ||||
\(553\) | −74857.2 | −0.244784 | ||||||||
\(554\) | −115626. | − | 33951.0i | −0.376736 | − | 0.110620i | ||||
\(555\) | 5191.16 | − | 5990.92i | 0.0168531 | − | 0.0194495i | ||||
\(556\) | 267482. | + | 171900.i | 0.865257 | + | 0.556067i | ||||
\(557\) | −116312. | − | 16723.1i | −0.374897 | − | 0.0539021i | −0.0477091 | − | 0.998861i | \(-0.515192\pi\) |
−0.327188 | + | 0.944959i | \(0.606101\pi\) | |||||||
\(558\) | 10015.1 | − | 6436.33i | 0.0321653 | − | 0.0206714i | ||||
\(559\) | 204271. | − | 93287.4i | 0.653707 | − | 0.298538i | ||||
\(560\) | 83269.3 | + | 96097.9i | 0.265527 | + | 0.306435i | ||||
\(561\) | −3656.17 | − | 25429.3i | −0.0116172 | − | 0.0807993i | ||||
\(562\) | 123307. | + | 56312.6i | 0.390406 | + | 0.178292i | ||||
\(563\) | −28620.0 | − | 97470.9i | −0.0902929 | − | 0.307509i | 0.901947 | − | 0.431846i | \(-0.142138\pi\) |
−0.992240 | + | 0.124337i | \(0.960320\pi\) | |||||||
\(564\) | −185051. | + | 54335.8i | −0.581745 | + | 0.170816i | ||||
\(565\) | −162217. | + | 355205.i | −0.508158 | + | 1.11271i | ||||
\(566\) | 45890.9 | − | 6598.12i | 0.143250 | − | 0.0205962i | ||||
\(567\) | −149933. | + | 129918.i | −0.466370 | + | 0.404112i | ||||
\(568\) | 118083. | + | 258566.i | 0.366008 | + | 0.801447i | ||||
\(569\) | 124563. | + | 193823.i | 0.384737 | + | 0.598662i | 0.978567 | − | 0.205928i | \(-0.0660214\pi\) |
−0.593831 | + | 0.804590i | \(0.702385\pi\) | |||||||
\(570\) | 8776.58 | − | 61042.4i | 0.0270132 | − | 0.187881i | ||||
\(571\) | 184832. | − | 287605.i | 0.566899 | − | 0.882111i | −0.432915 | − | 0.901435i | \(-0.642515\pi\) |
0.999813 | + | 0.0193234i | \(0.00615123\pi\) | |||||||
\(572\) | 17769.5 | + | 15397.4i | 0.0543104 | + | 0.0470603i | ||||
\(573\) | 87070.8 | − | 296536.i | 0.265194 | − | 0.903167i | ||||
\(574\) | − | 86193.8i | − | 0.261609i | ||||||
\(575\) | 145395. | + | 95249.8i | 0.439757 | + | 0.288090i | ||||
\(576\) | 24020.6 | 0.0724002 | ||||||||
\(577\) | −109237. | − | 32075.0i | −0.328110 | − | 0.0963418i | 0.113529 | − | 0.993535i | \(-0.463785\pi\) |
−0.441639 | + | 0.897193i | \(0.645603\pi\) | |||||||
\(578\) | −32394.5 | + | 37385.2i | −0.0969650 | + | 0.111904i | ||||
\(579\) | −211337. | − | 135818.i | −0.630404 | − | 0.405136i | ||||
\(580\) | −65646.3 | − | 9438.51i | −0.195144 | − | 0.0280574i | ||||
\(581\) | 327121. | − | 210228.i | 0.969074 | − | 0.622786i | ||||
\(582\) | −64365.1 | + | 29394.5i | −0.190022 | + | 0.0867802i | ||||
\(583\) | −8190.21 | − | 9452.01i | −0.0240967 | − | 0.0278091i | ||||
\(584\) | 268.906 | + | 1870.28i | 0.000788452 | + | 0.00548380i | ||||
\(585\) | −11653.2 | − | 5321.84i | −0.0340513 | − | 0.0155507i | ||||
\(586\) | −18301.5 | − | 62329.3i | −0.0532957 | − | 0.181508i | ||||
\(587\) | −528731. | + | 155249.i | −1.53447 | + | 0.450561i | −0.936415 | − | 0.350894i | \(-0.885878\pi\) |
−0.598055 | + | 0.801455i | \(0.704060\pi\) | |||||||
\(588\) | −66253.1 | + | 145074.i | −0.191625 | + | 0.419599i | ||||
\(589\) | −699835. | + | 100621.i | −2.01727 | + | 0.290040i | ||||
\(590\) | −16330.2 | + | 14150.2i | −0.0469125 | + | 0.0406499i | ||||
\(591\) | 89386.5 | + | 195729.i | 0.255916 | + | 0.560378i | ||||
\(592\) | 6318.62 | + | 9831.96i | 0.0180293 | + | 0.0280541i | ||||
\(593\) | 72103.6 | − | 501492.i | 0.205044 | − | 1.42611i | −0.583988 | − | 0.811763i | \(-0.698508\pi\) |
0.789032 | − | 0.614352i | \(-0.210583\pi\) | |||||||
\(594\) | 6621.78 | − | 10303.7i | 0.0187673 | − | 0.0292025i | ||||
\(595\) | −76473.1 | − | 66264.4i | −0.216011 | − | 0.187174i | ||||
\(596\) | 35106.0 | − | 119560.i | 0.0988299 | − | 0.336584i | ||||
\(597\) | − | 118624.i | − | 0.332831i | ||||||
\(598\) | 36366.2 | − | 22923.4i | 0.101694 | − | 0.0641027i | ||||
\(599\) | −560769. | −1.56290 | −0.781449 | − | 0.623969i | \(-0.785519\pi\) | ||||
−0.781449 | + | 0.623969i | \(0.785519\pi\) | |||||||
\(600\) | 76813.9 | + | 22554.6i | 0.213372 | + | 0.0626516i | ||||
\(601\) | −53454.0 | + | 61689.2i | −0.147990 | + | 0.170789i | −0.824904 | − | 0.565272i | \(-0.808771\pi\) |
0.676915 | + | 0.736061i | \(0.263317\pi\) | |||||||
\(602\) | 66868.7 | + | 42973.9i | 0.184514 | + | 0.118580i | ||||
\(603\) | 1893.07 | + | 272.183i | 0.00520634 | + | 0.000748559i | ||||
\(604\) | 14225.2 | − | 9141.95i | 0.0389927 | − | 0.0250591i | ||||
\(605\) | −224488. | + | 102520.i | −0.613313 | + | 0.280091i | ||||
\(606\) | 21065.8 | + | 24311.2i | 0.0573631 | + | 0.0662006i | ||||
\(607\) | −30106.6 | − | 209396.i | −0.0817117 | − | 0.568317i | −0.989012 | − | 0.147834i | \(-0.952770\pi\) |
0.907300 | − | 0.420483i | \(-0.138139\pi\) | |||||||
\(608\) | 273345. | + | 124832.i | 0.739441 | + | 0.337692i | ||||
\(609\) | 20831.7 | + | 70946.2i | 0.0561681 | + | 0.191291i | ||||
\(610\) | −84469.4 | + | 24802.4i | −0.227007 | + | 0.0666553i | ||||
\(611\) | −54928.0 | + | 120276.i | −0.147134 | + | 0.322177i | ||||
\(612\) | −21700.3 | + | 3120.03i | −0.0579379 | + | 0.00833022i | ||||
\(613\) | −239563. | + | 207583.i | −0.637528 | + | 0.552421i | −0.912523 | − | 0.409025i | \(-0.865869\pi\) |
0.274996 | + | 0.961445i | \(0.411324\pi\) | |||||||
\(614\) | 29505.1 | + | 64607.1i | 0.0782636 | + | 0.171373i | ||||
\(615\) | −218118. | − | 339399.i | −0.576689 | − | 0.897346i | ||||
\(616\) | −2434.64 | + | 16933.3i | −0.00641614 | + | 0.0446252i | ||||
\(617\) | −314192. | + | 488892.i | −0.825324 | + | 1.28423i | 0.130842 | + | 0.991403i | \(0.458232\pi\) |
−0.956166 | + | 0.292826i | \(0.905404\pi\) | |||||||
\(618\) | −57510.7 | − | 49833.3i | −0.150581 | − | 0.130480i | ||||
\(619\) | 198871. | − | 677291.i | 0.519026 | − | 1.76764i | −0.113969 | − | 0.993484i | \(-0.536356\pi\) |
0.632995 | − | 0.774156i | \(-0.281825\pi\) | |||||||
\(620\) | 402818.i | 1.04791i | ||||||||
\(621\) | 261208. | + | 306842.i | 0.677335 | + | 0.795667i | ||||
\(622\) | 84390.8 | 0.218129 | ||||||||
\(623\) | 243835. | + | 71596.5i | 0.628233 | + | 0.184466i | ||||
\(624\) | −106849. | + | 123310.i | −0.274411 | + | 0.316687i | ||||
\(625\) | −65032.1 | − | 41793.6i | −0.166482 | − | 0.106992i | ||||
\(626\) | 22485.4 | + | 3232.92i | 0.0573790 | + | 0.00824985i | ||||
\(627\) | −57519.7 | + | 36965.6i | −0.146312 | + | 0.0940293i | ||||
\(628\) | 603938. | − | 275809.i | 1.53134 | − | 0.699341i | ||||
\(629\) | −6090.56 | − | 7028.88i | −0.0153942 | − | 0.0177658i | ||||
\(630\) | −645.334 | − | 4488.40i | −0.00162594 | − | 0.0113086i | ||||
\(631\) | −379130. | − | 173143.i | −0.952202 | − | 0.434856i | −0.122131 | − | 0.992514i | \(-0.538973\pi\) |
−0.830071 | + | 0.557658i | \(0.811700\pi\) | |||||||
\(632\) | 17660.8 | + | 60147.0i | 0.0442156 | + | 0.150584i | ||||
\(633\) | 202331. | − | 59409.9i | 0.504959 | − | 0.148269i | ||||
\(634\) | 64123.6 | − | 140411.i | 0.159529 | − | 0.349319i | ||||
\(635\) | 28940.9 | − | 4161.07i | 0.0717735 | − | 0.0103195i | ||||
\(636\) | 69678.9 | − | 60377.2i | 0.172261 | − | 0.149265i | ||||
\(637\) | 45422.2 | + | 99460.8i | 0.111941 | + | 0.245117i | ||||
\(638\) | −2209.15 | − | 3437.51i | −0.00542730 | − | 0.00844505i | ||||
\(639\) | −11888.3 | + | 82684.9i | −0.0291151 | + | 0.202500i | ||||
\(640\) | 122122. | − | 190026.i | 0.298151 | − | 0.463931i | ||||
\(641\) | 430726. | + | 373226.i | 1.04830 | + | 0.908356i | 0.995917 | − | 0.0902712i | \(-0.0287734\pi\) |
0.0523814 | + | 0.998627i | \(0.483319\pi\) | |||||||
\(642\) | −45299.5 | + | 154276.i | −0.109906 | + | 0.374307i | ||||
\(643\) | 418308.i | 1.01175i | 0.862606 | + | 0.505876i | \(0.168831\pi\) | ||||
−0.862606 | + | 0.505876i | \(0.831169\pi\) | |||||||
\(644\) | −248063. | − | 115924.i | −0.598123 | − | 0.279514i | ||||
\(645\) | 372051. | 0.894300 | ||||||||
\(646\) | −69423.9 | − | 20384.7i | −0.166358 | − | 0.0488472i | ||||
\(647\) | 410265. | − | 473471.i | 0.980066 | − | 1.13106i | −0.0113002 | − | 0.999936i | \(-0.503597\pi\) |
0.991366 | − | 0.131121i | \(-0.0418575\pi\) | |||||||
\(648\) | 139761. | + | 89818.7i | 0.332839 | + | 0.213903i | ||||
\(649\) | 23713.0 | + | 3409.41i | 0.0562984 | + | 0.00809449i | ||||
\(650\) | 22462.3 | − | 14435.7i | 0.0531653 | − | 0.0341673i | ||||
\(651\) | 408516. | − | 186563.i | 0.963933 | − | 0.440213i | ||||
\(652\) | −77429.1 | − | 89357.9i | −0.182142 | − | 0.210203i | ||||
\(653\) | 6285.41 | + | 43716.0i | 0.0147403 | + | 0.102521i | 0.995863 | − | 0.0908632i | \(-0.0289626\pi\) |
−0.981123 | + | 0.193384i | \(0.938054\pi\) | |||||||
\(654\) | −100216. | − | 45767.1i | −0.234305 | − | 0.107004i | ||||
\(655\) | −89552.3 | − | 304987.i | −0.208734 | − | 0.710884i | ||||
\(656\) | 570719. | − | 167578.i | 1.32622 | − | 0.389413i | ||||
\(657\) | −230.673 | + | 505.103i | −0.000534400 | + | 0.00117017i | ||||
\(658\) | −46325.9 | + | 6660.66i | −0.106997 | + | 0.0153839i | ||||
\(659\) | −275986. | + | 239143.i | −0.635501 | + | 0.550665i | −0.911918 | − | 0.410373i | \(-0.865398\pi\) |
0.276417 | + | 0.961038i | \(0.410853\pi\) | |||||||
\(660\) | 16182.4 | + | 35434.4i | 0.0371496 | + | 0.0813462i | ||||
\(661\) | −50987.3 | − | 79337.8i | −0.116697 | − | 0.181584i | 0.777991 | − | 0.628275i | \(-0.216239\pi\) |
−0.894688 | + | 0.446691i | \(0.852602\pi\) | |||||||
\(662\) | 8852.77 | − | 61572.4i | 0.0202005 | − | 0.140498i | ||||
\(663\) | 70198.1 | − | 109230.i | 0.159698 | − | 0.248494i | ||||
\(664\) | −246093. | − | 213241.i | −0.558165 | − | 0.483653i | ||||
\(665\) | −75871.9 | + | 258396.i | −0.171568 | + | 0.584308i | ||||
\(666\) | − | 416.785i | − | 0.000939644i | ||||||
\(667\) | 129318. | − | 36743.6i | 0.290676 | − | 0.0825905i | ||||
\(668\) | −265841. | −0.595756 | ||||||||
\(669\) | 333205. | + | 97837.7i | 0.744490 | + | 0.218602i | ||||
\(670\) | 2354.98 | − | 2717.80i | 0.00524612 | − | 0.00605435i | ||||
\(671\) | 82110.5 | + | 52769.2i | 0.182370 | + | 0.117202i | ||||
\(672\) | −188932. | − | 27164.4i | −0.418377 | − | 0.0601535i | ||||
\(673\) | −302985. | + | 194716.i | −0.668945 | + | 0.429905i | −0.830545 | − | 0.556951i | \(-0.811971\pi\) |
0.161600 | + | 0.986856i | \(0.448335\pi\) | |||||||
\(674\) | −169329. | + | 77329.8i | −0.372744 | + | 0.170226i | ||||
\(675\) | 163907. | + | 189158.i | 0.359740 | + | 0.415162i | ||||
\(676\) | −44699.0 | − | 310888.i | −0.0978147 | − | 0.680316i | ||||
\(677\) | 372505. | + | 170117.i | 0.812745 | + | 0.371168i | 0.778029 | − | 0.628229i | \(-0.216220\pi\) |
0.0347167 | + | 0.999397i | \(0.488947\pi\) | |||||||
\(678\) | −49968.0 | − | 170175.i | −0.108701 | − | 0.370200i | ||||
\(679\) | 296480. | − | 87054.3i | 0.643066 | − | 0.188821i | ||||
\(680\) | −35200.8 | + | 77078.9i | −0.0761262 | + | 0.166693i | ||||
\(681\) | 218656. | − | 31438.0i | 0.471485 | − | 0.0677893i | ||||
\(682\) | −18756.4 | + | 16252.5i | −0.0403256 | + | 0.0349424i | ||||
\(683\) | −305910. | − | 669848.i | −0.655770 | − | 1.43594i | −0.886412 | − | 0.462897i | \(-0.846810\pi\) |
0.230642 | − | 0.973039i | \(-0.425917\pi\) | |||||||
\(684\) | 31545.0 | + | 49085.0i | 0.0674246 | + | 0.104915i | ||||
\(685\) | 9050.00 | − | 62944.1i | 0.0192871 | − | 0.134145i | ||||
\(686\) | −61606.8 | + | 95862.1i | −0.130912 | + | 0.203704i | ||||
\(687\) | −271657. | − | 235393.i | −0.575583 | − | 0.498746i | ||||
\(688\) | −154539. | + | 526310.i | −0.326483 | + | 1.11190i | ||||
\(689\) | − | 63210.1i | − | 0.133152i | ||||||
\(690\) | 70582.6 | − | 9517.77i | 0.148252 | − | 0.0199911i | ||||
\(691\) | −288438. | −0.604082 | −0.302041 | − | 0.953295i | \(-0.597668\pi\) | ||||
−0.302041 | + | 0.953295i | \(0.597668\pi\) | |||||||
\(692\) | −73002.8 | − | 21435.6i | −0.152450 | − | 0.0447634i | ||||
\(693\) | −3292.29 | + | 3799.50i | −0.00685538 | + | 0.00791153i | ||||
\(694\) | −94675.2 | − | 60844.0i | −0.196570 | − | 0.126328i | ||||
\(695\) | 357478. | + | 51397.6i | 0.740082 | + | 0.106408i | ||||
\(696\) | 52089.9 | − | 33476.1i | 0.107531 | − | 0.0691062i | ||||
\(697\) | −430568. | + | 196634.i | −0.886290 | + | 0.404755i | ||||
\(698\) | 97921.0 | + | 113007.i | 0.200986 | + | 0.231950i | ||||
\(699\) | 88906.5 | + | 618358.i | 0.181961 | + | 1.26557i | ||||
\(700\) | −154703. | − | 70650.7i | −0.315721 | − | 0.144185i | ||||
\(701\) | 136069. | + | 463408.i | 0.276900 | + | 0.943034i | 0.974092 | + | 0.226150i | \(0.0726140\pi\) |
−0.697193 | + | 0.716884i | \(0.745568\pi\) | |||||||
\(702\) | 59394.7 | − | 17439.9i | 0.120524 | − | 0.0353890i | ||||
\(703\) | −10282.6 | + | 22515.8i | −0.0208062 | + | 0.0455592i | ||||
\(704\) | −49566.1 | + | 7126.52i | −0.100009 | + | 0.0143791i | ||||
\(705\) | −165559. | + | 143457.i | −0.333099 | + | 0.288632i | ||||
\(706\) | 36365.3 | + | 79629.0i | 0.0729589 | + | 0.159758i | ||||
\(707\) | −75946.3 | − | 118175.i | −0.151938 | − | 0.236421i | ||||
\(708\) | −25133.7 | + | 174809.i | −0.0501406 | + | 0.348736i | ||||
\(709\) | 250727. | − | 390138.i | 0.498779 | − | 0.776115i | −0.497015 | − | 0.867742i | \(-0.665570\pi\) |
0.995793 | + | 0.0916274i | \(0.0292069\pi\) | |||||||
\(710\) | 118707. | + | 102860.i | 0.235483 | + | 0.204047i | ||||
\(711\) | −5190.07 | + | 17675.8i | −0.0102668 | + | 0.0349654i | ||||
\(712\) | − | 212811.i | − | 0.419792i | ||||||
\(713\) | −332680. | − | 745690.i | −0.654406 | − | 1.46683i | ||||
\(714\) | 45959.1 | 0.0901520 | ||||||||
\(715\) | 25625.0 | + | 7524.18i | 0.0501247 | + | 0.0147179i | ||||
\(716\) | −207793. | + | 239805.i | −0.405325 | + | 0.467770i | ||||
\(717\) | −255109. | − | 163949.i | −0.496236 | − | 0.318911i | ||||
\(718\) | −51268.3 | − | 7371.26i | −0.0994488 | − | 0.0142986i | ||||
\(719\) | −567445. | + | 364674.i | −1.09765 | + | 0.705420i | −0.958569 | − | 0.284861i | \(-0.908053\pi\) |
−0.139086 | + | 0.990280i | \(0.544416\pi\) | |||||||
\(720\) | 28464.6 | − | 12999.3i | 0.0549085 | − | 0.0250759i | ||||
\(721\) | 217615. | + | 251141.i | 0.418618 | + | 0.483111i | ||||
\(722\) | 10383.2 | + | 72217.0i | 0.0199186 | + | 0.138537i | ||||
\(723\) | −403397. | − | 184225.i | −0.771714 | − | 0.352430i | ||||
\(724\) | −205840. | − | 701027.i | −0.392693 | − | 1.33739i | ||||
\(725\) | 80119.8 | − | 23525.3i | 0.152428 | − | 0.0447568i | ||||
\(726\) | 46564.0 | − | 101961.i | 0.0883439 | − | 0.193446i | ||||
\(727\) | 539024. | − | 77499.9i | 1.01986 | − | 0.146633i | 0.387952 | − | 0.921680i | \(-0.373183\pi\) |
0.631904 | + | 0.775046i | \(0.282274\pi\) | |||||||
\(728\) | −65343.6 | + | 56620.5i | −0.123293 | + | 0.106834i | ||||
\(729\) | 238674. | + | 522623.i | 0.449107 | + | 0.983407i | ||||
\(730\) | 564.484 | + | 878.355i | 0.00105927 | + | 0.00164825i | ||||
\(731\) | 62122.0 | − | 432068.i | 0.116255 | − | 0.808570i | ||||
\(732\) | −389008. | + | 605308.i | −0.725999 | + | 1.12968i | ||||
\(733\) | −244716. | − | 212047.i | −0.455464 | − | 0.394661i | 0.396690 | − | 0.917952i | \(-0.370159\pi\) |
−0.852154 | + | 0.523291i | \(0.824704\pi\) | |||||||
\(734\) | −21643.6 | + | 73711.3i | −0.0401733 | + | 0.136818i | ||||
\(735\) | 181154.i | 0.335331i | ||||||||
\(736\) | −52397.2 | + | 343063.i | −0.0967280 | + | 0.633313i | ||||
\(737\) | −3987.07 | −0.00734038 | ||||||||
\(738\) | −20352.6 | − | 5976.08i | −0.0373687 | − | 0.0109724i | ||||
\(739\) | −95831.1 | + | 110595.i | −0.175476 | + | 0.202510i | −0.836674 | − | 0.547702i | \(-0.815503\pi\) |
0.661198 | + | 0.750212i | \(0.270048\pi\) | |||||||
\(740\) | 11863.6 | + | 7624.30i | 0.0216648 | + | 0.0139231i | ||||
\(741\) | −342047. | − | 49179.0i | −0.622945 | − | 0.0895660i | ||||
\(742\) | 18822.1 | − | 12096.2i | 0.0341870 | − | 0.0219706i | ||||
\(743\) | −675207. | + | 308357.i | −1.22309 | + | 0.558568i | −0.919069 | − | 0.394097i | \(-0.871057\pi\) |
−0.304023 | + | 0.952665i | \(0.598330\pi\) | |||||||
\(744\) | −246281. | − | 284223.i | −0.444923 | − | 0.513469i | ||||
\(745\) | −20142.8 | − | 140096.i | −0.0362916 | − | 0.252414i | ||||
\(746\) | −55177.1 | − | 25198.5i | −0.0991473 | − | 0.0452791i | ||||
\(747\) | −26960.1 | − | 91817.8i | −0.0483149 | − | 0.164545i | ||||
\(748\) | 43852.4 | − | 12876.2i | 0.0783773 | − | 0.0230137i | ||||
\(749\) | 291680. | − | 638691.i | 0.519928 | − | 1.13848i | ||||
\(750\) | 127077. | − | 18270.9i | 0.225915 | − | 0.0324816i | ||||
\(751\) | 482221. | − | 417847.i | 0.855000 | − | 0.740862i | −0.112522 | − | 0.993649i | \(-0.535893\pi\) |
0.967522 | + | 0.252788i | \(0.0813474\pi\) | |||||||
\(752\) | −134169. | − | 293790.i | −0.237256 | − | 0.519519i | ||||
\(753\) | 426517. | + | 663674.i | 0.752223 | + | 1.17048i | ||||
\(754\) | 2939.05 | − | 20441.5i | 0.00516969 | − | 0.0359560i | ||||
\(755\) | 10384.0 | − | 16157.8i | 0.0182167 | − | 0.0283457i | ||||
\(756\) | −297982. | − | 258203.i | −0.521370 | − | 0.451770i | ||||
\(757\) | −148962. | + | 507319.i | −0.259947 | + | 0.885297i | 0.721313 | + | 0.692609i | \(0.243539\pi\) |
−0.981260 | + | 0.192688i | \(0.938279\pi\) | |||||||
\(758\) | 62101.5i | 0.108085i | ||||||||
\(759\) | −59221.1 | − | 52230.9i | −0.102800 | − | 0.0906659i | ||||
\(760\) | 225519. | 0.390441 | ||||||||
\(761\) | 189344. | + | 55596.5i | 0.326951 | + | 0.0960015i | 0.441089 | − | 0.897463i | \(-0.354592\pi\) |
−0.114138 | + | 0.993465i | \(0.536411\pi\) | |||||||
\(762\) | −8696.50 | + | 10036.3i | −0.0149773 | + | 0.0172848i | ||||
\(763\) | 404732. | + | 260105.i | 0.695213 | + | 0.446786i | ||||
\(764\) | 544211. | + | 78245.8i | 0.932354 | + | 0.134052i | ||||
\(765\) | −20948.9 | + | 13463.0i | −0.0357963 | + | 0.0230049i | ||||
\(766\) | 22170.5 | − | 10124.9i | 0.0377848 | − | 0.0172558i | ||||
\(767\) | 79289.9 | + | 91505.4i | 0.134781 | + | 0.155545i | ||||
\(768\) | −40854.4 | − | 284149.i | −0.0692654 | − | 0.481751i | ||||
\(769\) | 106852. | + | 48797.7i | 0.180688 | + | 0.0825176i | 0.503705 | − | 0.863876i | \(-0.331970\pi\) |
−0.323017 | + | 0.946393i | \(0.604697\pi\) | |||||||
\(770\) | 2663.26 | + | 9070.24i | 0.00449193 | + | 0.0152981i | ||||
\(771\) | −43248.0 | + | 12698.8i | −0.0727540 | + | 0.0213625i | ||||
\(772\) | 185655. | − | 406528.i | 0.311510 | − | 0.682112i | ||||
\(773\) | 342960. | − | 49310.2i | 0.573964 | − | 0.0825235i | 0.150780 | − | 0.988567i | \(-0.451822\pi\) |
0.423184 | + | 0.906044i | \(0.360912\pi\) | |||||||
\(774\) | 14783.5 | − | 12810.0i | 0.0246771 | − | 0.0213829i | ||||
\(775\) | −210686. | − | 461338.i | −0.350778 | − | 0.768097i | ||||
\(776\) | −139895. | − | 217680.i | −0.232315 | − | 0.361489i | ||||
\(777\) | 2237.56 | − | 15562.6i | 0.00370624 | − | 0.0257775i | ||||
\(778\) | 64695.0 | − | 100667.i | 0.106884 | − | 0.166314i | ||||
\(779\) | 952064. | + | 824969.i | 1.56889 | + | 1.35945i | ||||
\(780\) | −55467.2 | + | 188904.i | −0.0911690 | + | 0.310493i | ||||
\(781\) | − | 174146.i | − | 0.285503i | ||||||
\(782\) | 732.186 | − | 83557.7i | 0.00119731 | − | 0.136639i | ||||
\(783\) | 193587. | 0.315757 | ||||||||
\(784\) | −256264. | − | 75245.9i | −0.416923 | − | 0.122420i | ||||
\(785\) | 493856. | − | 569940.i | 0.801421 | − | 0.924889i | ||||
\(786\) | 121453. | + | 78052.9i | 0.196590 | + | 0.126341i | ||||
\(787\) | 488319. | + | 70209.7i | 0.788414 | + | 0.113357i | 0.524748 | − | 0.851257i | \(-0.324159\pi\) |
0.263665 | + | 0.964614i | \(0.415069\pi\) | |||||||
\(788\) | −322027. | + | 206954.i | −0.518609 | + | 0.333289i | ||||
\(789\) | 516018. | − | 235658.i | 0.828917 | − | 0.378554i | ||||
\(790\) | 22683.7 | + | 26178.4i | 0.0363462 | + | 0.0419458i | ||||
\(791\) | 110223. | + | 766620.i | 0.176165 | + | 1.22526i | ||||
\(792\) | 3829.60 | + | 1748.92i | 0.00610525 | + | 0.00278817i | ||||
\(793\) | 138979. | + | 473319.i | 0.221005 | + | 0.752675i | ||||
\(794\) | 213501. | − | 62689.5i | 0.338656 | − | 0.0994383i | ||||
\(795\) | 43504.1 | − | 95260.8i | 0.0688329 | − | 0.150723i | ||||
\(796\) | 208884. | − | 30032.9i | 0.329669 | − | 0.0473993i | ||||
\(797\) | −156452. | + | 135567.i | −0.246300 | + | 0.213420i | −0.769258 | − | 0.638938i | \(-0.779374\pi\) |
0.522958 | + | 0.852359i | \(0.324829\pi\) | |||||||
\(798\) | −50812.0 | − | 111263.i | −0.0797923 | − | 0.174721i | ||||
\(799\) | 138955. | + | 216219.i | 0.217661 | + | 0.338688i | ||||
\(800\) | −30676.8 | + | 213362.i | −0.0479326 | + | 0.333378i | ||||
\(801\) | 33811.7 | − | 52612.0i | 0.0526989 | − | 0.0820011i | ||||
\(802\) | 111019. | + | 96198.4i | 0.172603 | + | 0.149561i | ||||
\(803\) | 326.133 | − | 1110.71i | 0.000505782 | − | 0.00172254i | ||||
\(804\) | − | 29392.1i | − | 0.0454693i | ||||||
\(805\) | −311002. | − | 2725.19i | −0.479923 | − | 0.00420539i | ||||
\(806\) | −125433. | −0.193082 | ||||||||
\(807\) | −414531. | − | 121717.i | −0.636517 | − | 0.186898i | ||||
\(808\) | −77034.6 | + | 88902.6i | −0.117995 | + | 0.136173i | ||||
\(809\) | −529346. | − | 340190.i | −0.808803 | − | 0.519786i | 0.0696745 | − | 0.997570i | \(-0.477804\pi\) |
−0.878478 | + | 0.477784i | \(0.841440\pi\) | |||||||
\(810\) | 90867.2 | + | 13064.7i | 0.138496 | + | 0.0199127i | ||||
\(811\) | 30178.8 | − | 19394.7i | 0.0458839 | − | 0.0294878i | −0.517498 | − | 0.855685i | \(-0.673136\pi\) |
0.563382 | + | 0.826197i | \(0.309500\pi\) | |||||||
\(812\) | −119654. | + | 54644.3i | −0.181475 | + | 0.0828768i | ||||
\(813\) | −497659. | − | 574329.i | −0.752923 | − | 0.868920i | ||||
\(814\) | 123.653 | + | 860.026i | 0.000186619 | + | 0.00129796i | ||||
\(815\) | −122165. | − | 55790.8i | −0.183921 | − | 0.0839938i | ||||
\(816\) | 89353.8 | + | 304311.i | 0.134194 | + | 0.457023i | ||||
\(817\) | −1.11468e6 | + | 327299.i | −1.66996 | + | 0.490344i | ||||
\(818\) | −41635.0 | + | 91167.9i | −0.0622231 | + | 0.136250i | ||||
\(819\) | −25150.4 | + | 3616.09i | −0.0374954 | + | 0.00539102i | ||||
\(820\) | 542421. | − | 470010.i | 0.806694 | − | 0.699004i | ||||
\(821\) | −421352. | − | 922632.i | −0.625113 | − | 1.36881i | −0.911741 | − | 0.410765i | \(-0.865262\pi\) |
0.286628 | − | 0.958042i | \(-0.407466\pi\) | |||||||
\(822\) | 15615.2 | + | 24297.7i | 0.0231102 | + | 0.0359602i | ||||
\(823\) | −102389. | + | 712129.i | −0.151165 | + | 1.05138i | 0.763105 | + | 0.646274i | \(0.223674\pi\) |
−0.914271 | + | 0.405104i | \(0.867235\pi\) | |||||||
\(824\) | 150448. | − | 234102.i | 0.221581 | − | 0.344787i | ||||
\(825\) | −37066.6 | − | 32118.4i | −0.0544596 | − | 0.0471895i | ||||
\(826\) | −12074.3 | + | 41121.2i | −0.0176970 | + | 0.0602706i | ||||
\(827\) | − | 667082.i | − | 0.975367i | −0.873020 | − | 0.487684i | \(-0.837842\pi\) | ||
0.873020 | − | 0.487684i | \(-0.162158\pi\) | |||||||
\(828\) | −44571.8 | + | 50536.9i | −0.0650128 | + | 0.0737137i | ||||
\(829\) | 702320. | 1.02194 | 0.510971 | − | 0.859598i | \(-0.329286\pi\) | ||||
0.510971 | + | 0.859598i | \(0.329286\pi\) | |||||||
\(830\) | −172645. | − | 50693.3i | −0.250610 | − | 0.0735858i | ||||
\(831\) | −732624. | + | 845493.i | −1.06091 | + | 1.22436i | ||||
\(832\) | −212909. | − | 136828.i | −0.307573 | − | 0.197665i | ||||
\(833\) | 210377. | + | 30247.6i | 0.303185 | + | 0.0435914i | ||||
\(834\) | −137994. | + | 88683.4i | −0.198394 | + | 0.127500i | ||||
\(835\) | −274670. | + | 125438.i | −0.393948 | + | 0.179910i | ||||
\(836\) | −79655.1 | − | 91926.9i | −0.113973 | − | 0.131532i | ||||
\(837\) | −167333. | − | 1.16383e6i | −0.238853 | − | 1.66126i | ||||
\(838\) | −25204.3 | − | 11510.4i | −0.0358911 | − | 0.0163909i | ||||
\(839\) | 347774. | + | 1.18441e6i | 0.494053 | + | 1.68259i | 0.708383 | + | 0.705828i | \(0.249425\pi\) |
−0.214330 | + | 0.976761i | \(0.568757\pi\) | |||||||
\(840\) | −137445. | + | 40357.5i | −0.194792 | + | 0.0571960i | ||||
\(841\) | −266986. | + | 584617.i | −0.377482 | + | 0.826570i | ||||
\(842\) | 24870.5 | − | 3575.84i | 0.0350800 | − | 0.00504375i | ||||
\(843\) | 951082. | − | 824117.i | 1.33833 | − | 1.15967i | ||||
\(844\) | 155840. | + | 341242.i | 0.218773 | + | 0.479046i | ||||
\(845\) | −192877. | − | 300123.i | −0.270127 | − | 0.420325i | ||||
\(846\) | −1639.15 | + | 11400.6i | −0.00229023 | + | 0.0159289i | ||||
\(847\) | −264634. | + | 411778.i | −0.368874 | + | 0.573980i | ||||
\(848\) | 116687. | + | 101110.i | 0.162268 | + | 0.140606i | ||||
\(849\) | 121262. | − | 412979.i | 0.168232 | − | 0.572945i | ||||
\(850\) | − | 51901.8i | − | 0.0718364i | ||||||
\(851\) | −28258.5 | − | 4316.02i | −0.0390203 | − | 0.00595970i | ||||
\(852\) | 1.28378e6 | 1.76852 | ||||||||
\(853\) | −324575. | − | 95303.9i | −0.446085 | − | 0.130982i | 0.0509725 | − | 0.998700i | \(-0.483768\pi\) |
−0.497057 | + | 0.867718i | \(0.665586\pi\) | |||||||
\(854\) | −114345. | + | 131961.i | −0.156783 | + | 0.180938i | ||||
\(855\) | 55753.7 | + | 35830.7i | 0.0762678 | + | 0.0490143i | ||||
\(856\) | −581997. | − | 83678.5i | −0.794279 | − | 0.114200i | ||||
\(857\) | 623018. | − | 400389.i | 0.848279 | − | 0.545156i | −0.0427585 | − | 0.999085i | \(-0.513615\pi\) |
0.891038 | + | 0.453930i | \(0.149978\pi\) | |||||||
\(858\) | −11033.9 | + | 5039.01i | −0.0149884 | + | 0.00684495i | ||||
\(859\) | −207104. | − | 239010.i | −0.280673 | − | 0.323914i | 0.597855 | − | 0.801604i | \(-0.296020\pi\) |
−0.878529 | + | 0.477690i | \(0.841474\pi\) | |||||||
\(860\) | 94195.1 | + | 655141.i | 0.127360 | + | 0.885805i | ||||
\(861\) | −727878. | − | 332411.i | −0.981866 | − | 0.448403i | ||||
\(862\) | 32629.7 | + | 111127.i | 0.0439136 | + | 0.149556i | ||||
\(863\) | −805453. | + | 236502.i | −1.08148 | + | 0.317551i | −0.773471 | − | 0.633832i | \(-0.781481\pi\) |
−0.308010 | + | 0.951383i | \(0.599663\pi\) | |||||||
\(864\) | −207597. | + | 454573.i | −0.278095 | + | 0.608943i | ||||
\(865\) | −85542.0 | + | 12299.1i | −0.114327 | + | 0.0164377i | ||||
\(866\) | 160250. | − | 138858.i | 0.213679 | − | 0.185154i | ||||
\(867\) | 190775. | + | 417738.i | 0.253795 | + | 0.555733i | ||||
\(868\) | 431944. | + | 672117.i | 0.573308 | + | 0.892084i | ||||
\(869\) | 5465.49 | − | 38013.3i | 0.00723752 | − | 0.0503381i | ||||
\(870\) | 18498.1 | − | 28783.6i | 0.0244393 | − | 0.0380283i | ||||
\(871\) | −15229.0 | − | 13196.0i | −0.0200740 | − | 0.0173943i | ||||
\(872\) | 113505. | − | 386564.i | 0.149274 | − | 0.508379i | ||||
\(873\) | − | 76042.4i | − | 0.0997763i | ||||||
\(874\) | −203095. | + | 90608.2i | −0.265874 | + | 0.118616i | ||||
\(875\) | −560633. | −0.732256 | ||||||||
\(876\) | 8187.98 | + | 2404.21i | 0.0106701 | + | 0.00313302i | ||||
\(877\) | 45247.4 | − | 52218.2i | 0.0588294 | − | 0.0678927i | −0.725572 | − | 0.688146i | \(-0.758425\pi\) |
0.784401 | + | 0.620253i | \(0.212970\pi\) | |||||||
\(878\) | −180122. | − | 115757.i | −0.233656 | − | 0.150162i | ||||
\(879\) | −596931. | − | 85825.7i | −0.772585 | − | 0.111081i | ||||
\(880\) | −54879.3 | + | 35268.8i | −0.0708669 | + | 0.0455434i | ||||
\(881\) | −1.21034e6 | + | 552746.i | −1.55940 | + | 0.712153i | −0.993660 | − | 0.112431i | \(-0.964136\pi\) |
−0.565739 | + | 0.824584i | \(0.691409\pi\) | |||||||
\(882\) | 6237.25 | + | 7198.17i | 0.00801781 | + | 0.00925305i | ||||
\(883\) | 26700.4 | + | 185705.i | 0.0342449 | + | 0.238179i | 0.999754 | − | 0.0221916i | \(-0.00706440\pi\) |
−0.965509 | + | 0.260370i | \(0.916155\pi\) | |||||||
\(884\) | 210115. | + | 95956.4i | 0.268877 | + | 0.122792i | ||||
\(885\) | 56515.5 | + | 192474.i | 0.0721575 | + | 0.245746i | ||||
\(886\) | 112758. | − | 33108.6i | 0.143641 | − | 0.0421768i | ||||
\(887\) | 194959. | − | 426901.i | 0.247797 | − | 0.542600i | −0.744333 | − | 0.667808i | \(-0.767233\pi\) |
0.992130 | + | 0.125208i | \(0.0399599\pi\) | |||||||
\(888\) | −13032.3 | + | 1873.76i | −0.0165270 | + | 0.00237623i | ||||
\(889\) | 43827.1 | − | 37976.4i | 0.0554548 | − | 0.0480518i | ||||
\(890\) | −48850.4 | − | 106968.i | −0.0616720 | − | 0.135043i | ||||
\(891\) | −55026.7 | − | 85623.2i | −0.0693135 | − | 0.107854i | ||||
\(892\) | −87921.4 | + | 611507.i | −0.110501 | + | 0.768549i | ||||
\(893\) | 369818. | − | 575448.i | 0.463751 | − | 0.721611i | ||||
\(894\) | 48583.3 | + | 42097.7i | 0.0607872 | + | 0.0526724i | ||||
\(895\) | −101541. | + | 345818.i | −0.126764 | + | 0.431719i | ||||
\(896\) | − | 448019.i | − | 0.558059i | ||||||
\(897\) | −53332.2 | − | 395505.i | −0.0662834 | − | 0.491550i | ||||
\(898\) | −131789. | −0.163428 | ||||||||
\(899\) | −376378. | − | 110515.i | −0.465699 | − | 0.136741i | ||||
\(900\) | −27408.5 | + | 31631.1i | −0.0338377 | + | 0.0390508i | ||||
\(901\) | −103364. | − | 66427.8i | −0.127326 | − | 0.0818277i | ||||
\(902\) | 43770.2 | + | 6293.21i | 0.0537980 | + | 0.00773498i | ||||
\(903\) | 620782. | − | 398953.i | 0.761314 | − | 0.489267i | ||||
\(904\) | 589967. | − | 269429.i | 0.721923 | − | 0.329691i | ||||
\(905\) | −543459. | − | 627185.i | −0.663544 | − | 0.765771i | ||||
\(906\) | 1241.50 | + | 8634.80i | 0.00151248 | + | 0.0105195i | ||||
\(907\) | 929587. | + | 424528.i | 1.12999 | + | 0.516050i | 0.890561 | − | 0.454863i | \(-0.150312\pi\) |
0.239431 | + | 0.970913i | \(0.423039\pi\) | |||||||
\(908\) | 110718. | + | 377070.i | 0.134291 | + | 0.457352i | ||||
\(909\) | −33169.8 | + | 9739.52i | −0.0401434 | + | 0.0117872i | ||||
\(910\) | −19847.2 | + | 43459.3i | −0.0239672 | + | 0.0524808i | ||||
\(911\) | 1.46970e6 | − | 211310.i | 1.77089 | − | 0.254615i | 0.821833 | − | 0.569728i | \(-0.192951\pi\) |
0.949054 | + | 0.315113i | \(0.102042\pi\) | |||||||
\(912\) | 637921. | − | 552761.i | 0.766968 | − | 0.664581i | ||||
\(913\) | 82872.4 | + | 181465.i | 0.0994188 | + | 0.217697i | ||||
\(914\) | 143569. | + | 223398.i | 0.171858 | + | 0.267416i | ||||
\(915\) | −116312. | + | 808967.i | −0.138926 | + | 0.966248i | ||||
\(916\) | 345723. | − | 537955.i | 0.412038 | − | 0.641143i | ||||
\(917\) | −476461. | − | 412855.i | −0.566615 | − | 0.490975i | ||||
\(918\) | 33899.8 | − | 115452.i | 0.0402265 | − | 0.136999i | ||||
\(919\) | − | 189757.i | − | 0.224681i | −0.993670 | − | 0.112340i | \(-0.964165\pi\) | ||
0.993670 | − | 0.112340i | \(-0.0358347\pi\) | |||||||
\(920\) | 71183.8 | + | 250530.i | 0.0841018 | + | 0.295995i | ||||
\(921\) | 659373. | 0.777341 | ||||||||
\(922\) | 93345.1 | + | 27408.6i | 0.109807 | + | 0.0322422i | ||||
\(923\) | 576370. | − | 665166.i | 0.676547 | − | 0.780777i | ||||
\(924\) | 64997.4 | + | 41771.3i | 0.0761293 | + | 0.0489253i | ||||
\(925\) | −17574.9 | − | 2526.89i | −0.0205404 | − | 0.00295327i | ||||
\(926\) | 116364. | − | 74782.6i | 0.135705 | − | 0.0872125i | ||||
\(927\) | 74388.8 | − | 33972.2i | 0.0865662 | − | 0.0395335i | ||||
\(928\) | 109179. | + | 125999.i | 0.126777 | + | 0.146309i | ||||
\(929\) | 79281.2 | + | 551413.i | 0.0918626 | + | 0.638918i | 0.982784 | + | 0.184760i | \(0.0591508\pi\) |
−0.890921 | + | 0.454158i | \(0.849940\pi\) | |||||||
\(930\) | −189034. | − | 86329.0i | −0.218562 | − | 0.0998138i | ||||
\(931\) | −159364. | − | 542744.i | −0.183862 | − | 0.626175i | ||||
\(932\) | −1.06635e6 | + | 313109.i | −1.22763 | + | 0.360466i | ||||
\(933\) | 325457. | − | 712652.i | 0.373879 | − | 0.818680i | ||||
\(934\) | 103827. | − | 14928.1i | 0.119019 | − | 0.0171123i | ||||
\(935\) | 39233.3 | − | 33995.8i | 0.0448778 | − | 0.0388868i | ||||
\(936\) | 8839.14 | + | 19355.0i | 0.0100892 | + | 0.0220923i | ||||
\(937\) | 563971. | + | 877557.i | 0.642359 | + | 0.999530i | 0.997894 | + | 0.0648672i | \(0.0206624\pi\) |
−0.355535 | + | 0.934663i | \(0.615701\pi\) | |||||||
\(938\) | 1015.08 | − | 7060.01i | 0.00115370 | − | 0.00802416i | ||||
\(939\) | 114017. | − | 177414.i | 0.129312 | − | 0.201213i | ||||
\(940\) | −294528. | − | 255210.i | −0.333328 | − | 0.288830i | ||||
\(941\) | −193482. | + | 658938.i | −0.218505 | + | 0.744159i | 0.775159 | + | 0.631766i | \(0.217670\pi\) |
−0.993664 | + | 0.112393i | \(0.964149\pi\) | |||||||
\(942\) | 342525.i | 0.386002i | ||||||||
\(943\) | −615948. | + | 1.31805e6i | −0.692661 | + | 1.48221i | ||||
\(944\) | −295752. | −0.331882 | ||||||||
\(945\) | −429713. | − | 126175.i | −0.481188 | − | 0.141290i | ||||
\(946\) | −26704.9 | + | 30819.1i | −0.0298406 | + | 0.0344379i | ||||
\(947\) | 1.06297e6 | + | 683131.i | 1.18528 | + | 0.761736i | 0.976350 | − | 0.216194i | \(-0.0693644\pi\) |
0.208934 | + | 0.977930i | \(0.433001\pi\) | |||||||
\(948\) | 280229. | + | 40290.9i | 0.311815 | + | 0.0448322i | ||||
\(949\) | 4921.81 | − | 3163.05i | 0.00546502 | − | 0.00351216i | ||||
\(950\) | −125650. | + | 57382.2i | −0.139224 | + | 0.0635814i | ||||
\(951\) | −938428. | − | 1.08300e6i | −1.03762 | − | 1.19748i | ||||
\(952\) | 23918.3 | + | 166355.i | 0.0263910 | + | 0.183553i | ||||
\(953\) | 1.43235e6 | + | 654130.i | 1.57711 | + | 0.720242i | 0.995636 | − | 0.0933231i | \(-0.0297490\pi\) |
0.581474 | + | 0.813565i | \(0.302476\pi\) | |||||||
\(954\) | −1551.25 | − | 5283.07i | −0.00170445 | − | 0.00580483i | ||||
\(955\) | 599207. | − | 175943.i | 0.657008 | − | 0.192915i | ||||
\(956\) | 224108. | − | 490727.i | 0.245212 | − | 0.536939i | ||||
\(957\) | −37548.3 | + | 5398.63i | −0.0409983 | + | 0.00589467i | ||||
\(958\) | 152148. | − | 131837.i | 0.165781 | − | 0.143650i | ||||
\(959\) | −52395.0 | − | 114729.i | −0.0569709 | − | 0.124749i | ||||
\(960\) | −226693. | − | 352741.i | −0.245978 | − | 0.382749i | ||||
\(961\) | −207638. | + | 1.44416e6i | −0.224833 | + | 1.56375i | ||||
\(962\) | −2374.12 | + | 3694.21i | −0.00256539 | + | 0.00399182i | ||||
\(963\) | −130589. | − | 113156.i | −0.140816 | − | 0.122018i | ||||
\(964\) | 222269. | − | 756980.i | 0.239180 | − | 0.814573i | ||||
\(965\) | − | 507632.i | − | 0.545123i | ||||||
\(966\) | 107564. | − | 91566.9i | 0.115269 | − | 0.0981260i | ||||
\(967\) | 864027. | 0.924005 | 0.462002 | − | 0.886879i | \(-0.347131\pi\) | ||||
0.462002 | + | 0.886879i | \(0.347131\pi\) | |||||||
\(968\) | 393294. | + | 115482.i | 0.419727 | + | 0.123243i | ||||
\(969\) | −439879. | + | 507647.i | −0.468474 | + | 0.540648i | ||||
\(970\) | −120285. | − | 77302.4i | −0.127840 | − | 0.0821580i | ||||
\(971\) | −1.84695e6 | − | 265552.i | −1.95892 | − | 0.281651i | −0.958926 | − | 0.283657i | \(-0.908452\pi\) |
−0.999998 | + | 0.00200589i | \(0.999362\pi\) | |||||||
\(972\) | −155584. | + | 99987.9i | −0.164677 | + | 0.105831i | ||||
\(973\) | 651580. | − | 297567.i | 0.688244 | − | 0.314310i | ||||
\(974\) | −143643. | − | 165773.i | −0.151415 | − | 0.174742i | ||||
\(975\) | −35277.3 | − | 245359.i | −0.0371095 | − | 0.258102i | ||||
\(976\) | −1.09607e6 | − | 500557.i | −1.15063 | − | 0.525477i | ||||
\(977\) | 178156. | + | 606744.i | 0.186643 | + | 0.635647i | 0.998647 | + | 0.0519960i | \(0.0165583\pi\) |
−0.812004 | + | 0.583651i | \(0.801624\pi\) | |||||||
\(978\) | 58527.8 | − | 17185.3i | 0.0611906 | − | 0.0179672i | ||||
\(979\) | −54160.5 | + | 118595.i | −0.0565090 | + | 0.123737i | ||||
\(980\) | −318993. | + | 45864.2i | −0.332146 | + | 0.0477553i | ||||
\(981\) | 89479.0 | − | 77534.0i | 0.0929786 | − | 0.0805664i | ||||
\(982\) | −76422.1 | − | 167341.i | −0.0792494 | − | 0.173532i | ||||
\(983\) | −333105. | − | 518322.i | −0.344726 | − | 0.536404i | 0.624992 | − | 0.780631i | \(-0.285102\pi\) |
−0.969718 | + | 0.244227i | \(0.921466\pi\) | |||||||
\(984\) | −95363.5 | + | 663267.i | −0.0984899 | + | 0.685012i | ||||
\(985\) | −235071. | + | 365777.i | −0.242285 | + | 0.377003i | ||||
\(986\) | −30338.1 | − | 26288.2i | −0.0312058 | − | 0.0270400i | ||||
\(987\) | −122411. | + | 416894.i | −0.125657 | + | 0.427948i | ||||
\(988\) | − | 614759.i | − | 0.629783i | ||||||
\(989\) | −715441. | − | 1.13499e6i | −0.731444 | − | 1.16038i | ||||
\(990\) | 2326.38 | 0.00237361 | ||||||||
\(991\) | −279658. | − | 82114.9i | −0.284760 | − | 0.0836132i | 0.136233 | − | 0.990677i | \(-0.456500\pi\) |
−0.420994 | + | 0.907064i | \(0.638319\pi\) | |||||||
\(992\) | 663122. | − | 765284.i | 0.673861 | − | 0.777677i | ||||
\(993\) | −485817. | − | 312215.i | −0.492690 | − | 0.316633i | ||||
\(994\) | 308364. | + | 44336.1i | 0.312098 | + | 0.0448730i | ||||
\(995\) | 201651. | − | 129593.i | 0.203682 | − | 0.130899i | ||||
\(996\) | −1.33774e6 | + | 610924.i | −1.34850 | + | 0.615841i | ||||
\(997\) | 108007. | + | 124646.i | 0.108658 | + | 0.125398i | 0.807473 | − | 0.589904i | \(-0.200835\pi\) |
−0.698815 | + | 0.715302i | \(0.746289\pi\) | |||||||
\(998\) | −20196.7 | − | 140471.i | −0.0202777 | − | 0.141035i | ||||
\(999\) | −37443.8 | − | 17100.0i | −0.0375188 | − | 0.0171343i |
(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 | 23.5.d.a.5.3 | ✓ | 70 | |
23.14 | odd | 22 | inner | 23.5.d.a.14.3 | yes | 70 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
23.5.d.a.5.3 | ✓ | 70 | 1.1 | even | 1 | trivial | |
23.5.d.a.14.3 | yes | 70 | 23.14 | odd | 22 | inner |