Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [43,6,Mod(9,43)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(43, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 6, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("43.9");
S:= CuspForms(chi, 6);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 43 \) |
Weight: | \( k \) | \(=\) | \( 6 \) |
Character orbit: | \([\chi]\) | \(=\) | 43.g (of order \(21\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(6.89650425196\) |
Analytic rank: | \(0\) |
Dimension: | \(204\) |
Relative dimension: | \(17\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 24.16 | ||
Character | \(\chi\) | \(=\) | 43.24 |
Dual form | 43.6.g.a.9.16 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{20}{21}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 5.80897 | − | 7.28422i | 1.02689 | − | 1.28768i | 0.0699015 | − | 0.997554i | \(-0.477731\pi\) |
0.956989 | − | 0.290126i | \(-0.0936971\pi\) | |||||||
\(3\) | −11.9998 | + | 1.80868i | −0.769790 | + | 0.116027i | −0.522183 | − | 0.852833i | \(-0.674882\pi\) |
−0.247607 | + | 0.968861i | \(0.579644\pi\) | |||||||
\(4\) | −12.1950 | − | 53.4298i | −0.381094 | − | 1.66968i | ||||
\(5\) | −56.0782 | + | 38.2335i | −1.00316 | + | 0.683941i | −0.949223 | − | 0.314604i | \(-0.898128\pi\) |
−0.0539338 | + | 0.998545i | \(0.517176\pi\) | |||||||
\(6\) | −56.5318 | + | 97.9160i | −0.641084 | + | 1.11039i | ||||
\(7\) | −58.6801 | − | 101.637i | −0.452633 | − | 0.783983i | 0.545916 | − | 0.837840i | \(-0.316182\pi\) |
−0.998549 | + | 0.0538570i | \(0.982848\pi\) | |||||||
\(8\) | −191.420 | − | 92.1833i | −1.05746 | − | 0.509245i | ||||
\(9\) | −91.4795 | + | 28.2177i | −0.376459 | + | 0.116122i | ||||
\(10\) | −47.2556 | + | 630.582i | −0.149435 | + | 1.99408i | ||||
\(11\) | −31.3087 | + | 137.172i | −0.0780160 | + | 0.341810i | −0.998839 | − | 0.0481701i | \(-0.984661\pi\) |
0.920823 | + | 0.389980i | \(0.127518\pi\) | |||||||
\(12\) | 242.976 | + | 619.092i | 0.487091 | + | 1.24109i | ||||
\(13\) | −65.8375 | − | 878.541i | −0.108048 | − | 1.44180i | −0.743024 | − | 0.669264i | \(-0.766609\pi\) |
0.634977 | − | 0.772531i | \(-0.281010\pi\) | |||||||
\(14\) | −1081.22 | − | 162.967i | −1.47432 | − | 0.222218i | ||||
\(15\) | 603.777 | − | 560.223i | 0.692864 | − | 0.642884i | ||||
\(16\) | −203.387 | + | 97.9459i | −0.198620 | + | 0.0956503i | ||||
\(17\) | 160.523 | + | 109.443i | 0.134715 | + | 0.0918472i | 0.628803 | − | 0.777565i | \(-0.283545\pi\) |
−0.494087 | + | 0.869412i | \(0.664498\pi\) | |||||||
\(18\) | −325.858 | + | 830.272i | −0.237054 | + | 0.604003i | ||||
\(19\) | 529.140 | + | 163.218i | 0.336269 | + | 0.103725i | 0.458291 | − | 0.888802i | \(-0.348462\pi\) |
−0.122022 | + | 0.992527i | \(0.538938\pi\) | |||||||
\(20\) | 2726.68 | + | 2529.99i | 1.52426 | + | 1.41431i | ||||
\(21\) | 887.981 | + | 1113.49i | 0.439395 | + | 0.550984i | ||||
\(22\) | 817.322 | + | 1024.89i | 0.360028 | + | 0.451461i | ||||
\(23\) | −3306.81 | − | 3068.27i | −1.30343 | − | 1.20941i | −0.963112 | − | 0.269101i | \(-0.913273\pi\) |
−0.340322 | − | 0.940309i | \(-0.610536\pi\) | |||||||
\(24\) | 2463.74 | + | 759.965i | 0.873107 | + | 0.269318i | ||||
\(25\) | 541.274 | − | 1379.14i | 0.173208 | − | 0.441326i | ||||
\(26\) | −6781.93 | − | 4623.84i | −1.96752 | − | 1.34143i | ||||
\(27\) | 3703.57 | − | 1783.54i | 0.977711 | − | 0.470841i | ||||
\(28\) | −4714.84 | + | 4374.73i | −1.13651 | + | 1.05452i | ||||
\(29\) | −5209.62 | − | 785.224i | −1.15030 | − | 0.173380i | −0.453913 | − | 0.891046i | \(-0.649972\pi\) |
−0.696387 | + | 0.717666i | \(0.745210\pi\) | |||||||
\(30\) | −573.465 | − | 7652.35i | −0.116333 | − | 1.55236i | ||||
\(31\) | 1007.03 | + | 2565.88i | 0.188208 | + | 0.479547i | 0.993568 | − | 0.113240i | \(-0.0361228\pi\) |
−0.805359 | + | 0.592787i | \(0.798028\pi\) | |||||||
\(32\) | 1044.85 | − | 4577.81i | 0.180377 | − | 0.790283i | ||||
\(33\) | 127.598 | − | 1702.67i | 0.0203966 | − | 0.272174i | ||||
\(34\) | 1729.68 | − | 533.536i | 0.256607 | − | 0.0791529i | ||||
\(35\) | 7176.61 | + | 3456.07i | 0.990260 | + | 0.476884i | ||||
\(36\) | 2623.26 | + | 4543.62i | 0.337354 | + | 0.584313i | ||||
\(37\) | 667.512 | − | 1156.17i | 0.0801595 | − | 0.138840i | −0.823159 | − | 0.567811i | \(-0.807790\pi\) |
0.903318 | + | 0.428971i | \(0.141124\pi\) | |||||||
\(38\) | 4262.68 | − | 2906.24i | 0.478876 | − | 0.326492i | ||||
\(39\) | 2379.04 | + | 10423.3i | 0.250461 | + | 1.09734i | ||||
\(40\) | 14259.0 | − | 2149.20i | 1.40909 | − | 0.212386i | ||||
\(41\) | 96.5327 | − | 121.048i | 0.00896840 | − | 0.0112460i | −0.777327 | − | 0.629097i | \(-0.783425\pi\) |
0.786295 | + | 0.617851i | \(0.211996\pi\) | |||||||
\(42\) | 13269.2 | 1.16070 | ||||||||
\(43\) | 7856.77 | − | 9234.70i | 0.647997 | − | 0.761643i | ||||
\(44\) | 7710.91 | 0.600446 | ||||||||
\(45\) | 4051.14 | − | 5079.97i | 0.298227 | − | 0.373964i | ||||
\(46\) | −41559.0 | + | 6264.02i | −2.89582 | + | 0.436474i | ||||
\(47\) | 6086.59 | + | 26667.1i | 0.401910 | + | 1.76088i | 0.619651 | + | 0.784878i | \(0.287274\pi\) |
−0.217740 | + | 0.976007i | \(0.569869\pi\) | |||||||
\(48\) | 2263.45 | − | 1543.20i | 0.141798 | − | 0.0966759i | ||||
\(49\) | 1516.78 | − | 2627.15i | 0.0902471 | − | 0.156313i | ||||
\(50\) | −6901.74 | − | 11954.2i | −0.390421 | − | 0.676230i | ||||
\(51\) | −2124.20 | − | 1022.96i | −0.114359 | − | 0.0550724i | ||||
\(52\) | −46137.4 | + | 14231.5i | −2.36616 | + | 0.729865i | ||||
\(53\) | −317.075 | + | 4231.07i | −0.0155050 | + | 0.206900i | 0.984071 | + | 0.177777i | \(0.0568905\pi\) |
−0.999576 | + | 0.0291231i | \(0.990729\pi\) | |||||||
\(54\) | 8522.18 | − | 37338.1i | 0.397710 | − | 1.74248i | ||||
\(55\) | −3488.84 | − | 8889.42i | −0.155516 | − | 0.396248i | ||||
\(56\) | 1863.35 | + | 24864.7i | 0.0794009 | + | 1.05953i | ||||
\(57\) | −6644.81 | − | 1001.54i | −0.270891 | − | 0.0408303i | ||||
\(58\) | −35982.3 | + | 33386.7i | −1.40449 | + | 1.30318i | ||||
\(59\) | 7049.02 | − | 3394.63i | 0.263632 | − | 0.126959i | −0.297399 | − | 0.954753i | \(-0.596119\pi\) |
0.561031 | + | 0.827795i | \(0.310405\pi\) | |||||||
\(60\) | −37295.7 | − | 25427.8i | −1.33746 | − | 0.911864i | ||||
\(61\) | −12757.3 | + | 32505.0i | −0.438969 | + | 1.11847i | 0.524679 | + | 0.851300i | \(0.324185\pi\) |
−0.963648 | + | 0.267174i | \(0.913910\pi\) | |||||||
\(62\) | 24540.2 | + | 7569.65i | 0.810773 | + | 0.250090i | ||||
\(63\) | 8235.99 | + | 7641.88i | 0.261435 | + | 0.242577i | ||||
\(64\) | −31780.1 | − | 39851.0i | −0.969853 | − | 1.21616i | ||||
\(65\) | 37281.7 | + | 46749.8i | 1.09449 | + | 1.37245i | ||||
\(66\) | −11661.4 | − | 10820.2i | −0.329528 | − | 0.305757i | ||||
\(67\) | −30954.9 | − | 9548.32i | −0.842446 | − | 0.259860i | −0.156650 | − | 0.987654i | \(-0.550070\pi\) |
−0.685796 | + | 0.727794i | \(0.740546\pi\) | |||||||
\(68\) | 3889.94 | − | 9911.41i | 0.102017 | − | 0.259934i | ||||
\(69\) | 45230.6 | + | 30837.7i | 1.14369 | + | 0.779758i | ||||
\(70\) | 66863.5 | − | 32199.7i | 1.63096 | − | 0.785430i | ||||
\(71\) | −40346.8 | + | 37436.3i | −0.949867 | + | 0.881348i | −0.993047 | − | 0.117719i | \(-0.962442\pi\) |
0.0431797 | + | 0.999067i | \(0.486251\pi\) | |||||||
\(72\) | 20112.3 | + | 3031.43i | 0.457224 | + | 0.0689155i | ||||
\(73\) | −6246.45 | − | 83353.1i | −0.137191 | − | 1.83069i | −0.464271 | − | 0.885693i | \(-0.653684\pi\) |
0.327079 | − | 0.944997i | \(-0.393936\pi\) | |||||||
\(74\) | −4544.20 | − | 11578.4i | −0.0964669 | − | 0.245794i | ||||
\(75\) | −4000.77 | + | 17528.5i | −0.0821278 | + | 0.359825i | ||||
\(76\) | 2267.85 | − | 30262.3i | 0.0450381 | − | 0.600992i | ||||
\(77\) | 15779.0 | − | 4867.17i | 0.303286 | − | 0.0935513i | ||||
\(78\) | 89745.1 | + | 43219.0i | 1.67022 | + | 0.804337i | ||||
\(79\) | 18442.7 | + | 31943.7i | 0.332474 | + | 0.575862i | 0.982996 | − | 0.183625i | \(-0.0587834\pi\) |
−0.650522 | + | 0.759487i | \(0.725450\pi\) | |||||||
\(80\) | 7660.75 | − | 13268.8i | 0.133828 | − | 0.231797i | ||||
\(81\) | −21995.5 | + | 14996.3i | −0.372496 | + | 0.253963i | ||||
\(82\) | −320.986 | − | 1406.33i | −0.00527170 | − | 0.0230968i | ||||
\(83\) | −34408.5 | + | 5186.25i | −0.548240 | + | 0.0826339i | −0.417321 | − | 0.908759i | \(-0.637031\pi\) |
−0.130919 | + | 0.991393i | \(0.541793\pi\) | |||||||
\(84\) | 48664.8 | − | 61023.8i | 0.752518 | − | 0.943628i | ||||
\(85\) | −13186.3 | −0.197958 | ||||||||
\(86\) | −21627.8 | − | 110874.i | −0.315331 | − | 1.61654i | ||||
\(87\) | 63934.8 | 0.905606 | ||||||||
\(88\) | 18638.1 | − | 23371.5i | 0.256564 | − | 0.321721i | ||||
\(89\) | 128093. | − | 19307.0i | 1.71416 | − | 0.258368i | 0.782751 | − | 0.622335i | \(-0.213816\pi\) |
0.931412 | + | 0.363967i | \(0.118578\pi\) | |||||||
\(90\) | −13470.7 | − | 59018.8i | −0.175300 | − | 0.768041i | ||||
\(91\) | −85428.9 | + | 58244.4i | −1.08144 | + | 0.737311i | ||||
\(92\) | −123611. | + | 214100.i | −1.52260 | + | 2.63722i | ||||
\(93\) | −16725.1 | − | 28968.7i | −0.200521 | − | 0.347313i | ||||
\(94\) | 229606. | + | 110572.i | 2.68017 | + | 1.29070i | ||||
\(95\) | −35913.6 | + | 11077.9i | −0.408273 | + | 0.125935i | ||||
\(96\) | −4258.27 | + | 56822.7i | −0.0471580 | + | 0.629280i | ||||
\(97\) | 25482.5 | − | 111646.i | 0.274987 | − | 1.20480i | −0.629057 | − | 0.777359i | \(-0.716559\pi\) |
0.904044 | − | 0.427439i | \(-0.140584\pi\) | |||||||
\(98\) | −10325.8 | − | 26309.6i | −0.108607 | − | 0.276725i | ||||
\(99\) | −1006.58 | − | 13431.9i | −0.0103220 | − | 0.137737i | ||||
\(100\) | −80288.3 | − | 12101.5i | −0.802883 | − | 0.121015i | ||||
\(101\) | 93476.0 | − | 86733.1i | 0.911794 | − | 0.846022i | −0.0767348 | − | 0.997052i | \(-0.524449\pi\) |
0.988529 | + | 0.151030i | \(0.0482590\pi\) | |||||||
\(102\) | −19790.9 | + | 9530.80i | −0.188350 | + | 0.0907045i | ||||
\(103\) | −89808.2 | − | 61230.2i | −0.834109 | − | 0.568686i | 0.0692360 | − | 0.997600i | \(-0.477944\pi\) |
−0.903345 | + | 0.428914i | \(0.858896\pi\) | |||||||
\(104\) | −68384.1 | + | 174240.i | −0.619972 | + | 1.57966i | ||||
\(105\) | −92369.0 | − | 28492.1i | −0.817623 | − | 0.252203i | ||||
\(106\) | 28978.1 | + | 26887.8i | 0.250499 | + | 0.232429i | ||||
\(107\) | −95044.0 | − | 119181.i | −0.802538 | − | 1.00635i | −0.999663 | − | 0.0259720i | \(-0.991732\pi\) |
0.197125 | − | 0.980378i | \(-0.436840\pi\) | |||||||
\(108\) | −140459. | − | 176131.i | −1.15876 | − | 1.45303i | ||||
\(109\) | −166349. | − | 154349.i | −1.34108 | − | 1.24434i | −0.945385 | − | 0.325956i | \(-0.894314\pi\) |
−0.395693 | − | 0.918383i | \(-0.629496\pi\) | |||||||
\(110\) | −85019.0 | − | 26224.9i | −0.669938 | − | 0.206648i | ||||
\(111\) | −5918.90 | + | 15081.1i | −0.0455967 | + | 0.116179i | ||||
\(112\) | 21889.7 | + | 14924.1i | 0.164890 | + | 0.112420i | ||||
\(113\) | −9039.09 | + | 4353.00i | −0.0665930 | + | 0.0320695i | −0.466884 | − | 0.884319i | \(-0.654623\pi\) |
0.400291 | + | 0.916388i | \(0.368909\pi\) | |||||||
\(114\) | −45894.9 | + | 42584.3i | −0.330752 | + | 0.306893i | ||||
\(115\) | 302750. | + | 45632.2i | 2.13471 | + | 0.321756i | ||||
\(116\) | 21577.0 | + | 287925.i | 0.148883 | + | 1.98671i | ||||
\(117\) | 30813.2 | + | 78510.7i | 0.208100 | + | 0.530230i | ||||
\(118\) | 16220.3 | − | 71065.9i | 0.107239 | − | 0.469847i | ||||
\(119\) | 1703.92 | − | 22737.3i | 0.0110302 | − | 0.147187i | ||||
\(120\) | −167218. | + | 51580.0i | −1.06006 | + | 0.326986i | ||||
\(121\) | 127266. | + | 61288.0i | 0.790221 | + | 0.380550i | ||||
\(122\) | 162667. | + | 281747.i | 0.989464 | + | 1.71380i | ||||
\(123\) | −939.439 | + | 1627.16i | −0.00559894 | + | 0.00969765i | ||||
\(124\) | 124814. | − | 85096.5i | 0.728967 | − | 0.497001i | ||||
\(125\) | −24820.7 | − | 108746.i | −0.142082 | − | 0.622501i | ||||
\(126\) | 103508. | − | 15601.3i | 0.580826 | − | 0.0875455i | ||||
\(127\) | −111780. | + | 140168.i | −0.614972 | + | 0.771150i | −0.987627 | − | 0.156819i | \(-0.949876\pi\) |
0.372655 | + | 0.927970i | \(0.378447\pi\) | |||||||
\(128\) | −324636. | −1.75135 | ||||||||
\(129\) | −77577.2 | + | 125025.i | −0.410450 | + | 0.661490i | ||||
\(130\) | 557104. | 2.89120 | ||||||||
\(131\) | −111338. | + | 139614.i | −0.566848 | + | 0.710805i | −0.979807 | − | 0.199944i | \(-0.935924\pi\) |
0.412959 | + | 0.910750i | \(0.364495\pi\) | |||||||
\(132\) | −92529.7 | + | 13946.6i | −0.462217 | + | 0.0696680i | ||||
\(133\) | −14461.0 | − | 63357.9i | −0.0708876 | − | 0.310579i | ||||
\(134\) | −249368. | + | 170016.i | −1.19972 | + | 0.817953i | ||||
\(135\) | −139498. | + | 241618.i | −0.658771 | + | 1.14102i | ||||
\(136\) | −20638.7 | − | 35747.2i | −0.0956829 | − | 0.165728i | ||||
\(137\) | 31152.1 | + | 15002.1i | 0.141803 | + | 0.0682888i | 0.503440 | − | 0.864030i | \(-0.332068\pi\) |
−0.361637 | + | 0.932319i | \(0.617782\pi\) | |||||||
\(138\) | 487372. | − | 150334.i | 2.17853 | − | 0.671987i | ||||
\(139\) | 11576.7 | − | 154480.i | 0.0508216 | − | 0.678167i | −0.912373 | − | 0.409361i | \(-0.865752\pi\) |
0.963194 | − | 0.268806i | \(-0.0866291\pi\) | |||||||
\(140\) | 97138.6 | − | 425592.i | 0.418863 | − | 1.83516i | ||||
\(141\) | −121270. | − | 308992.i | −0.513697 | − | 1.30888i | ||||
\(142\) | 38321.2 | + | 511361.i | 0.159484 | + | 2.12817i | ||||
\(143\) | 122573. | + | 18474.9i | 0.501250 | + | 0.0755513i | ||||
\(144\) | 15841.9 | − | 14699.2i | 0.0636651 | − | 0.0590726i | ||||
\(145\) | 322168. | − | 155148.i | 1.27251 | − | 0.612810i | ||||
\(146\) | −643448. | − | 438695.i | −2.49822 | − | 1.70326i | ||||
\(147\) | −13449.5 | + | 34268.7i | −0.0513348 | + | 0.130799i | ||||
\(148\) | −69914.1 | − | 21565.6i | −0.262368 | − | 0.0809297i | ||||
\(149\) | −235500. | − | 218512.i | −0.869011 | − | 0.806325i | 0.113304 | − | 0.993560i | \(-0.463857\pi\) |
−0.982315 | + | 0.187236i | \(0.940047\pi\) | |||||||
\(150\) | 104441. | + | 130965.i | 0.379003 | + | 0.475255i | ||||
\(151\) | −113042. | − | 141750.i | −0.403458 | − | 0.505920i | 0.538049 | − | 0.842913i | \(-0.319161\pi\) |
−0.941507 | + | 0.336993i | \(0.890590\pi\) | |||||||
\(152\) | −86242.3 | − | 80021.2i | −0.302769 | − | 0.280929i | ||||
\(153\) | −17772.8 | − | 5482.20i | −0.0613802 | − | 0.0189333i | ||||
\(154\) | 56206.1 | − | 143211.i | 0.190977 | − | 0.486602i | ||||
\(155\) | −154575. | − | 105387.i | −0.516785 | − | 0.352338i | ||||
\(156\) | 527901. | − | 254224.i | 1.73677 | − | 0.836382i | ||||
\(157\) | 138208. | − | 128238.i | 0.447490 | − | 0.415210i | −0.423971 | − | 0.905676i | \(-0.639364\pi\) |
0.871460 | + | 0.490466i | \(0.163174\pi\) | |||||||
\(158\) | 339818. | + | 51219.4i | 1.08294 | + | 0.163227i | ||||
\(159\) | −3847.82 | − | 51345.6i | −0.0120704 | − | 0.161068i | ||||
\(160\) | 116432. | + | 296663.i | 0.359560 | + | 0.916145i | ||||
\(161\) | −117806. | + | 516140.i | −0.358180 | + | 1.56929i | ||||
\(162\) | −18535.0 | + | 247333.i | −0.0554888 | + | 0.740447i | ||||
\(163\) | 150521. | − | 46429.7i | 0.443740 | − | 0.136876i | −0.0648298 | − | 0.997896i | \(-0.520650\pi\) |
0.508570 | + | 0.861021i | \(0.330174\pi\) | |||||||
\(164\) | −7644.81 | − | 3681.54i | −0.0221951 | − | 0.0106886i | ||||
\(165\) | 57943.7 | + | 100361.i | 0.165690 | + | 0.286983i | ||||
\(166\) | −162100. | + | 280766.i | −0.456577 | + | 0.790814i | ||||
\(167\) | −206210. | + | 140591.i | −0.572160 | + | 0.390092i | −0.814556 | − | 0.580085i | \(-0.803019\pi\) |
0.242396 | + | 0.970178i | \(0.422067\pi\) | |||||||
\(168\) | −67332.4 | − | 295002.i | −0.184056 | − | 0.806403i | ||||
\(169\) | −400354. | + | 60343.6i | −1.07827 | + | 0.162523i | ||||
\(170\) | −76598.5 | + | 96051.5i | −0.203282 | + | 0.254907i | ||||
\(171\) | −53011.2 | −0.138636 | ||||||||
\(172\) | −589222. | − | 307169.i | −1.51865 | − | 0.791691i | ||||
\(173\) | 420867. | 1.06913 | 0.534563 | − | 0.845128i | \(-0.320476\pi\) | ||||
0.534563 | + | 0.845128i | \(0.320476\pi\) | |||||||
\(174\) | 371395. | − | 465715.i | 0.929958 | − | 1.16613i | ||||
\(175\) | −171934. | + | 25914.9i | −0.424392 | + | 0.0639668i | ||||
\(176\) | −7067.70 | − | 30965.6i | −0.0171987 | − | 0.0753526i | ||||
\(177\) | −78447.3 | + | 53484.4i | −0.188211 | + | 0.128320i | ||||
\(178\) | 603455. | − | 1.04521e6i | 1.42756 | − | 2.47261i | ||||
\(179\) | 329581. | + | 570851.i | 0.768828 | + | 1.33165i | 0.938199 | + | 0.346097i | \(0.112493\pi\) |
−0.169370 | + | 0.985553i | \(0.554173\pi\) | |||||||
\(180\) | −320826. | − | 154502.i | −0.738054 | − | 0.355428i | ||||
\(181\) | −101627. | + | 31347.7i | −0.230575 | + | 0.0711229i | −0.407889 | − | 0.913031i | \(-0.633735\pi\) |
0.177315 | + | 0.984154i | \(0.443259\pi\) | |||||||
\(182\) | −71988.7 | + | 960622.i | −0.161096 | + | 2.14968i | ||||
\(183\) | 94294.0 | − | 413129.i | 0.208140 | − | 0.911922i | ||||
\(184\) | 350148. | + | 892161.i | 0.762441 | + | 1.94267i | ||||
\(185\) | 6771.32 | + | 90357.0i | 0.0145460 | + | 0.194103i | ||||
\(186\) | −308170. | − | 46449.1i | −0.653142 | − | 0.0984453i | ||||
\(187\) | −20038.4 | + | 18592.9i | −0.0419042 | + | 0.0388815i | ||||
\(188\) | 1.35059e6 | − | 650411.i | 2.78695 | − | 1.34213i | ||||
\(189\) | −398600. | − | 271761.i | −0.811676 | − | 0.553391i | ||||
\(190\) | −127927. | + | 325954.i | −0.257087 | + | 0.655046i | ||||
\(191\) | 818587. | + | 252501.i | 1.62361 | + | 0.500817i | 0.967291 | − | 0.253667i | \(-0.0816369\pi\) |
0.656318 | + | 0.754485i | \(0.272113\pi\) | |||||||
\(192\) | 453434. | + | 420726.i | 0.887690 | + | 0.823656i | ||||
\(193\) | 411621. | + | 516157.i | 0.795435 | + | 0.997444i | 0.999828 | + | 0.0185551i | \(0.00590661\pi\) |
−0.204393 | + | 0.978889i | \(0.565522\pi\) | |||||||
\(194\) | −665227. | − | 834168.i | −1.26901 | − | 1.59129i | ||||
\(195\) | −531930. | − | 493559.i | −1.00177 | − | 0.929506i | ||||
\(196\) | −158865. | − | 49003.4i | −0.295385 | − | 0.0911143i | ||||
\(197\) | −119732. | + | 305071.i | −0.219808 | + | 0.560061i | −0.997659 | − | 0.0683875i | \(-0.978215\pi\) |
0.777851 | + | 0.628449i | \(0.216310\pi\) | |||||||
\(198\) | −103688. | − | 70693.4i | −0.187960 | − | 0.128149i | ||||
\(199\) | −239875. | + | 115518.i | −0.429390 | + | 0.206784i | −0.636080 | − | 0.771623i | \(-0.719445\pi\) |
0.206690 | + | 0.978407i | \(0.433731\pi\) | |||||||
\(200\) | −230745. | + | 214100.i | −0.407903 | + | 0.378479i | ||||
\(201\) | 388723. | + | 58590.6i | 0.678657 | + | 0.102291i | ||||
\(202\) | −88783.2 | − | 1.18473e6i | −0.153092 | − | 2.04287i | ||||
\(203\) | 225893. | + | 575567.i | 0.384737 | + | 0.980293i | ||||
\(204\) | −28752.0 | + | 125971.i | −0.0483719 | + | 0.211931i | ||||
\(205\) | −785.288 | + | 10478.9i | −0.00130510 | + | 0.0174154i | ||||
\(206\) | −967707. | + | 298498.i | −1.58882 | + | 0.490087i | ||||
\(207\) | 389084. | + | 187373.i | 0.631129 | + | 0.303936i | ||||
\(208\) | 99440.0 | + | 172235.i | 0.159369 | + | 0.276035i | ||||
\(209\) | −38955.7 | + | 67473.3i | −0.0616887 | + | 0.106848i | ||||
\(210\) | −744111. | + | 507326.i | −1.16437 | + | 0.793851i | ||||
\(211\) | −158668. | − | 695170.i | −0.245349 | − | 1.07494i | −0.936068 | − | 0.351819i | \(-0.885563\pi\) |
0.690719 | − | 0.723123i | \(-0.257294\pi\) | |||||||
\(212\) | 229932. | − | 34656.7i | 0.351366 | − | 0.0529599i | ||||
\(213\) | 416444. | − | 522204.i | 0.628938 | − | 0.788663i | ||||
\(214\) | −1.42025e6 | −2.11997 | ||||||||
\(215\) | −87518.7 | + | 818256.i | −0.129123 | + | 1.20724i | ||||
\(216\) | −873351. | −1.27366 | ||||||||
\(217\) | 201695. | − | 252918.i | 0.290768 | − | 0.364611i | ||||
\(218\) | −2.09063e6 | + | 315112.i | −2.97945 | + | 0.449080i | ||||
\(219\) | 225716. | + | 988926.i | 0.318018 | + | 1.39333i | ||||
\(220\) | −432414. | + | 294815.i | −0.602342 | + | 0.410670i | ||||
\(221\) | 85581.7 | − | 148232.i | 0.117869 | − | 0.204155i | ||||
\(222\) | 75471.4 | + | 130720.i | 0.102778 | + | 0.178017i | ||||
\(223\) | 1.10881e6 | + | 533975.i | 1.49312 | + | 0.719049i | 0.989454 | − | 0.144849i | \(-0.0462697\pi\) |
0.503667 | + | 0.863898i | \(0.331984\pi\) | |||||||
\(224\) | −526587. | + | 162430.i | −0.701213 | + | 0.216295i | ||||
\(225\) | −10599.2 | + | 141437.i | −0.0139578 | + | 0.186254i | ||||
\(226\) | −20799.6 | + | 91129.1i | −0.0270885 | + | 0.118682i | ||||
\(227\) | 30992.4 | + | 78967.5i | 0.0399201 | + | 0.101715i | 0.949443 | − | 0.313938i | \(-0.101648\pi\) |
−0.909523 | + | 0.415653i | \(0.863553\pi\) | |||||||
\(228\) | 27521.2 | + | 367245.i | 0.0350615 | + | 0.467863i | ||||
\(229\) | −1.18893e6 | − | 179203.i | −1.49820 | − | 0.225817i | −0.651809 | − | 0.758383i | \(-0.725989\pi\) |
−0.846388 | + | 0.532567i | \(0.821228\pi\) | |||||||
\(230\) | 2.09106e6 | − | 1.94022e6i | 2.60644 | − | 2.41842i | ||||
\(231\) | −180542. | + | 86944.5i | −0.222612 | + | 0.107204i | ||||
\(232\) | 924844. | + | 630548.i | 1.12810 | + | 0.769127i | ||||
\(233\) | 576668. | − | 1.46933e6i | 0.695883 | − | 1.77308i | 0.0640900 | − | 0.997944i | \(-0.479586\pi\) |
0.631793 | − | 0.775137i | \(-0.282319\pi\) | |||||||
\(234\) | 750882. | + | 231616.i | 0.896462 | + | 0.276522i | ||||
\(235\) | −1.36090e6 | − | 1.26273e6i | −1.60752 | − | 1.49156i | ||||
\(236\) | −267337. | − | 335230.i | −0.312449 | − | 0.391799i | ||||
\(237\) | −279086. | − | 349963.i | −0.322751 | − | 0.404716i | ||||
\(238\) | −155725. | − | 144492.i | −0.178203 | − | 0.165349i | ||||
\(239\) | −79139.6 | − | 24411.3i | −0.0896188 | − | 0.0276437i | 0.249622 | − | 0.968343i | \(-0.419694\pi\) |
−0.339240 | + | 0.940700i | \(0.610170\pi\) | |||||||
\(240\) | −67928.7 | + | 173079.i | −0.0761246 | + | 0.193962i | ||||
\(241\) | 448412. | + | 305722.i | 0.497318 | + | 0.339066i | 0.785863 | − | 0.618401i | \(-0.212219\pi\) |
−0.288545 | + | 0.957466i | \(0.593171\pi\) | |||||||
\(242\) | 1.18572e6 | − | 571012.i | 1.30150 | − | 0.626768i | ||||
\(243\) | −495418. | + | 459680.i | −0.538215 | + | 0.499390i | ||||
\(244\) | 1.89231e6 | + | 285220.i | 2.03479 | + | 0.306695i | ||||
\(245\) | 15386.4 | + | 205317.i | 0.0163765 | + | 0.218530i | ||||
\(246\) | 6395.38 | + | 16295.2i | 0.00673797 | + | 0.0171681i | ||||
\(247\) | 108557. | − | 475617.i | 0.113218 | − | 0.496039i | ||||
\(248\) | 43764.2 | − | 583993.i | 0.0451845 | − | 0.602946i | ||||
\(249\) | 403516. | − | 124468.i | 0.412442 | − | 0.127222i | ||||
\(250\) | −936315. | − | 450905.i | −0.947484 | − | 0.456284i | ||||
\(251\) | −177116. | − | 306773.i | −0.177448 | − | 0.307350i | 0.763557 | − | 0.645740i | \(-0.223451\pi\) |
−0.941006 | + | 0.338390i | \(0.890118\pi\) | |||||||
\(252\) | 307867. | − | 533241.i | 0.305395 | − | 0.528959i | ||||
\(253\) | 524413. | − | 357539.i | 0.515077 | − | 0.351174i | ||||
\(254\) | 371686. | + | 1.62846e6i | 0.361486 | + | 1.58377i | ||||
\(255\) | 158233. | − | 23849.8i | 0.152386 | − | 0.0229686i | ||||
\(256\) | −868837. | + | 1.08949e6i | −0.828587 | + | 1.03902i | ||||
\(257\) | 1.80121e6 | 1.70111 | 0.850554 | − | 0.525888i | \(-0.176267\pi\) | ||||
0.850554 | + | 0.525888i | \(0.176267\pi\) | |||||||
\(258\) | 460067. | + | 1.29136e6i | 0.430301 | + | 1.20781i | ||||
\(259\) | −156679. | −0.145131 | ||||||||
\(260\) | 2.04318e6 | − | 2.56207e6i | 1.87445 | − | 2.35049i | ||||
\(261\) | 498731. | − | 75171.6i | 0.453174 | − | 0.0683050i | ||||
\(262\) | 370217. | + | 1.62203e6i | 0.333198 | + | 1.45984i | ||||
\(263\) | 356849. | − | 243295.i | 0.318123 | − | 0.216892i | −0.393721 | − | 0.919230i | \(-0.628813\pi\) |
0.711844 | + | 0.702337i | \(0.247860\pi\) | |||||||
\(264\) | −181383. | + | 314164.i | −0.160172 | + | 0.277426i | ||||
\(265\) | −143987. | − | 249393.i | −0.125953 | − | 0.218158i | ||||
\(266\) | −545516. | − | 262707.i | −0.472720 | − | 0.227650i | ||||
\(267\) | −1.50218e6 | + | 463361.i | −1.28957 | + | 0.397779i | ||||
\(268\) | −132670. | + | 1.77036e6i | −0.112833 | + | 1.50565i | ||||
\(269\) | 159402. | − | 698386.i | 0.134311 | − | 0.588457i | −0.862314 | − | 0.506374i | \(-0.830986\pi\) |
0.996625 | − | 0.0820830i | \(-0.0261572\pi\) | |||||||
\(270\) | 949657. | + | 2.41969e6i | 0.792788 | + | 2.01999i | ||||
\(271\) | 40363.4 | + | 538612.i | 0.0333860 | + | 0.445505i | 0.988700 | + | 0.149911i | \(0.0478986\pi\) |
−0.955314 | + | 0.295594i | \(0.904482\pi\) | |||||||
\(272\) | −43367.9 | − | 6536.65i | −0.0355423 | − | 0.00535714i | ||||
\(273\) | 919787. | − | 853437.i | 0.746931 | − | 0.693051i | ||||
\(274\) | 290240. | − | 139772.i | 0.233550 | − | 0.112472i | ||||
\(275\) | 172234. | + | 117427.i | 0.137337 | + | 0.0936347i | ||||
\(276\) | 1.09607e6 | − | 2.79273e6i | 0.866093 | − | 2.20677i | ||||
\(277\) | 215997. | + | 66626.2i | 0.169141 | + | 0.0521730i | 0.378169 | − | 0.925737i | \(-0.376554\pi\) |
−0.209028 | + | 0.977910i | \(0.567030\pi\) | |||||||
\(278\) | −1.05802e6 | − | 981699.i | −0.821073 | − | 0.761845i | ||||
\(279\) | −164526. | − | 206309.i | −0.126539 | − | 0.158675i | ||||
\(280\) | −1.05516e6 | − | 1.32313e6i | −0.804308 | − | 1.00857i | ||||
\(281\) | −824586. | − | 765104.i | −0.622974 | − | 0.578036i | 0.304227 | − | 0.952600i | \(-0.401602\pi\) |
−0.927201 | + | 0.374564i | \(0.877792\pi\) | |||||||
\(282\) | −2.95522e6 | − | 911564.i | −2.21293 | − | 0.682597i | ||||
\(283\) | −613493. | + | 1.56315e6i | −0.455348 | + | 1.16021i | 0.500341 | + | 0.865828i | \(0.333208\pi\) |
−0.955689 | + | 0.294379i | \(0.904887\pi\) | |||||||
\(284\) | 2.49225e6 | + | 1.69919e6i | 1.83356 | + | 1.25010i | ||||
\(285\) | 410921. | − | 197889.i | 0.299672 | − | 0.144315i | ||||
\(286\) | 846597. | − | 785527.i | 0.612014 | − | 0.567866i | ||||
\(287\) | −17967.5 | − | 2708.17i | −0.0128761 | − | 0.00194076i | ||||
\(288\) | 33592.4 | + | 448259.i | 0.0238649 | + | 0.318455i | ||||
\(289\) | −504942. | − | 1.28657e6i | −0.355629 | − | 0.906127i | ||||
\(290\) | 741332. | − | 3.24799e6i | 0.517628 | − | 2.26788i | ||||
\(291\) | −103853. | + | 1.38582e6i | −0.0718931 | + | 0.959347i | ||||
\(292\) | −4.37737e6 | + | 1.35024e6i | −3.00439 | + | 0.926731i | ||||
\(293\) | −76682.6 | − | 36928.4i | −0.0521829 | − | 0.0251299i | 0.407610 | − | 0.913156i | \(-0.366362\pi\) |
−0.459793 | + | 0.888026i | \(0.652076\pi\) | |||||||
\(294\) | 171493. | + | 297035.i | 0.115712 | + | 0.200419i | ||||
\(295\) | −265508. | + | 459873.i | −0.177632 | + | 0.307668i | ||||
\(296\) | −234355. | + | 159780.i | −0.155469 | + | 0.105997i | ||||
\(297\) | 128699. | + | 563868.i | 0.0846612 | + | 0.370925i | ||||
\(298\) | −2.95970e6 | + | 446103.i | −1.93067 | + | 0.291001i | ||||
\(299\) | −2.47789e6 | + | 3.10717e6i | −1.60289 | + | 2.00996i | ||||
\(300\) | 985334. | 0.632092 | ||||||||
\(301\) | −1.39962e6 | − | 256645.i | −0.890420 | − | 0.163274i | ||||
\(302\) | −1.68920e6 | −1.06577 | ||||||||
\(303\) | −964824. | + | 1.20985e6i | −0.603728 | + | 0.757052i | ||||
\(304\) | −123607. | + | 18630.7i | −0.0767111 | + | 0.0115623i | ||||
\(305\) | −527374. | − | 2.31058e6i | −0.324616 | − | 1.42223i | ||||
\(306\) | −143175. | + | 97615.3i | −0.0874107 | + | 0.0595956i | ||||
\(307\) | 1.09002e6 | − | 1.88797e6i | 0.660069 | − | 1.14327i | −0.320528 | − | 0.947239i | \(-0.603860\pi\) |
0.980597 | − | 0.196035i | \(-0.0628065\pi\) | |||||||
\(308\) | −452477. | − | 783714.i | −0.271782 | − | 0.470740i | ||||
\(309\) | 1.18843e6 | + | 572318.i | 0.708072 | + | 0.340989i | ||||
\(310\) | −1.66558e6 | + | 513765.i | −0.984379 | + | 0.303641i | ||||
\(311\) | −128966. | + | 1.72093e6i | −0.0756089 | + | 1.00893i | 0.822388 | + | 0.568928i | \(0.192642\pi\) |
−0.897996 | + | 0.440003i | \(0.854977\pi\) | |||||||
\(312\) | 505453. | − | 2.21453e6i | 0.293964 | − | 1.28794i | ||||
\(313\) | 1.04019e6 | + | 2.65035e6i | 0.600137 | + | 1.52912i | 0.831078 | + | 0.556157i | \(0.187725\pi\) |
−0.230940 | + | 0.972968i | \(0.574180\pi\) | |||||||
\(314\) | −131269. | − | 1.75166e6i | −0.0751343 | − | 1.00260i | ||||
\(315\) | −754035. | − | 113652.i | −0.428169 | − | 0.0645361i | ||||
\(316\) | 1.48184e6 | − | 1.37495e6i | 0.834802 | − | 0.774583i | ||||
\(317\) | −1.64464e6 | + | 792015.i | −0.919225 | + | 0.442675i | −0.832794 | − | 0.553583i | \(-0.813260\pi\) |
−0.0864305 | + | 0.996258i | \(0.527546\pi\) | |||||||
\(318\) | −396364. | − | 270237.i | −0.219799 | − | 0.149857i | ||||
\(319\) | 270818. | − | 690032.i | 0.149005 | − | 0.379658i | ||||
\(320\) | 3.30581e6 | + | 1.01971e6i | 1.80469 | + | 0.556674i | ||||
\(321\) | 1.35607e6 | + | 1.25825e6i | 0.734549 | + | 0.681562i | ||||
\(322\) | 3.07535e6 | + | 3.85636e6i | 1.65293 | + | 2.07271i | ||||
\(323\) | 67076.4 | + | 84111.1i | 0.0357737 | + | 0.0448587i | ||||
\(324\) | 1.06948e6 | + | 992336.i | 0.565994 | + | 0.525166i | ||||
\(325\) | −1.24727e6 | − | 384732.i | −0.655017 | − | 0.202046i | ||||
\(326\) | 536170. | − | 1.36614e6i | 0.279420 | − | 0.711952i | ||||
\(327\) | 2.27533e6 | + | 1.55129e6i | 1.17673 | + | 0.802278i | ||||
\(328\) | −29637.0 | + | 14272.4i | −0.0152107 | + | 0.00732508i | ||||
\(329\) | 2.35320e6 | − | 2.18345e6i | 1.19859 | − | 1.11212i | ||||
\(330\) | 1.06765e6 | + | 160922.i | 0.539688 | + | 0.0813449i | ||||
\(331\) | −54846.4 | − | 731874.i | −0.0275155 | − | 0.367169i | −0.993917 | − | 0.110132i | \(-0.964873\pi\) |
0.966401 | − | 0.257037i | \(-0.0827464\pi\) | |||||||
\(332\) | 696713. | + | 1.77520e6i | 0.346904 | + | 0.883896i | ||||
\(333\) | −28439.4 | + | 124601.i | −0.0140543 | + | 0.0615760i | ||||
\(334\) | −173767. | + | 2.31877e6i | −0.0852319 | + | 1.13734i | ||||
\(335\) | 2.10096e6 | − | 648060.i | 1.02283 | − | 0.315503i | ||||
\(336\) | −289666. | − | 139496.i | −0.139975 | − | 0.0674082i | ||||
\(337\) | −496918. | − | 860688.i | −0.238347 | − | 0.412830i | 0.721893 | − | 0.692005i | \(-0.243272\pi\) |
−0.960240 | + | 0.279175i | \(0.909939\pi\) | |||||||
\(338\) | −1.88609e6 | + | 3.26680e6i | −0.897986 | + | 1.55536i | ||||
\(339\) | 100594. | − | 68584.1i | 0.0475417 | − | 0.0324134i | ||||
\(340\) | 160807. | + | 704539.i | 0.0754408 | + | 0.330528i | ||||
\(341\) | −383496. | + | 57802.8i | −0.178597 | + | 0.0269192i | ||||
\(342\) | −307940. | + | 386145.i | −0.142364 | + | 0.178519i | ||||
\(343\) | −2.32849e6 | −1.06866 | ||||||||
\(344\) | −2.35523e6 | + | 1.04345e6i | −1.07309 | + | 0.475417i | ||||
\(345\) | −3.71549e6 | −1.68061 | ||||||||
\(346\) | 2.44480e6 | − | 3.06568e6i | 1.09788 | − | 1.37669i | ||||
\(347\) | 3.17801e6 | − | 479008.i | 1.41687 | − | 0.213559i | 0.604458 | − | 0.796637i | \(-0.293390\pi\) |
0.812417 | + | 0.583078i | \(0.198152\pi\) | |||||||
\(348\) | −779686. | − | 3.41603e6i | −0.345121 | − | 1.51207i | ||||
\(349\) | 1.52727e6 | − | 1.04127e6i | 0.671199 | − | 0.457616i | −0.179159 | − | 0.983820i | \(-0.557338\pi\) |
0.850358 | + | 0.526204i | \(0.176385\pi\) | |||||||
\(350\) | −809990. | + | 1.40294e6i | −0.353435 | + | 0.612167i | ||||
\(351\) | −1.81075e6 | − | 3.13631e6i | −0.784496 | − | 1.35879i | ||||
\(352\) | 595236. | + | 286650.i | 0.256054 | + | 0.123309i | ||||
\(353\) | −3.49964e6 | + | 1.07950e6i | −1.49481 | + | 0.461089i | −0.931063 | − | 0.364857i | \(-0.881118\pi\) |
−0.563749 | + | 0.825946i | \(0.690642\pi\) | |||||||
\(354\) | −66105.5 | + | 882116.i | −0.0280368 | + | 0.374126i | ||||
\(355\) | 831253. | − | 3.64196e6i | 0.350076 | − | 1.53378i | ||||
\(356\) | −2.59367e6 | − | 6.60857e6i | −1.08465 | − | 2.76365i | ||||
\(357\) | 20677.7 | + | 275925.i | 0.00858682 | + | 0.114583i | ||||
\(358\) | 6.07273e6 | + | 915316.i | 2.50424 | + | 0.377454i | ||||
\(359\) | 17840.1 | − | 16553.2i | 0.00730569 | − | 0.00677869i | −0.676511 | − | 0.736432i | \(-0.736509\pi\) |
0.683817 | + | 0.729653i | \(0.260319\pi\) | |||||||
\(360\) | −1.24376e6 | + | 598964.i | −0.505802 | + | 0.243581i | ||||
\(361\) | −1.79250e6 | − | 1.22211e6i | −0.723921 | − | 0.493561i | ||||
\(362\) | −362003. | + | 922369.i | −0.145191 | + | 0.369942i | ||||
\(363\) | −1.63802e6 | − | 505262.i | −0.652458 | − | 0.201257i | ||||
\(364\) | 4.15380e6 | + | 3.85416e6i | 1.64321 | + | 1.52467i | ||||
\(365\) | 3.53717e6 | + | 4.43547e6i | 1.38971 | + | 1.74264i | ||||
\(366\) | −2.46157e6 | − | 3.08671e6i | −0.960526 | − | 1.20446i | ||||
\(367\) | −404808. | − | 375607.i | −0.156886 | − | 0.145569i | 0.597824 | − | 0.801627i | \(-0.296032\pi\) |
−0.754710 | + | 0.656058i | \(0.772223\pi\) | |||||||
\(368\) | 973085. | + | 300157.i | 0.374568 | + | 0.115539i | ||||
\(369\) | −5415.07 | + | 13797.4i | −0.00207032 | + | 0.00527509i | ||||
\(370\) | 697514. | + | 475557.i | 0.264880 | + | 0.180592i | ||||
\(371\) | 448639. | − | 216053.i | 0.169224 | − | 0.0814940i | ||||
\(372\) | −1.34383e6 | + | 1.24689e6i | −0.503486 | + | 0.467166i | ||||
\(373\) | −655270. | − | 98766.0i | −0.243864 | − | 0.0367566i | 0.0259728 | − | 0.999663i | \(-0.491732\pi\) |
−0.269837 | + | 0.962906i | \(0.586970\pi\) | |||||||
\(374\) | 19032.4 | + | 253969.i | 0.00703580 | + | 0.0938862i | ||||
\(375\) | 494532. | + | 1.26005e6i | 0.181600 | + | 0.462709i | ||||
\(376\) | 1.29316e6 | − | 5.66571e6i | 0.471718 | − | 2.06673i | ||||
\(377\) | −346863. | + | 4.62856e6i | −0.125691 | + | 1.67723i | ||||
\(378\) | −4.29502e6 | + | 1.32484e6i | −1.54609 | + | 0.476906i | ||||
\(379\) | −1.53335e6 | − | 738421.i | −0.548330 | − | 0.264062i | 0.139142 | − | 0.990272i | \(-0.455565\pi\) |
−0.687472 | + | 0.726210i | \(0.741280\pi\) | |||||||
\(380\) | 1.02986e6 | + | 1.78376e6i | 0.365863 | + | 0.633693i | ||||
\(381\) | 1.08782e6 | − | 1.88417e6i | 0.383925 | − | 0.664977i | ||||
\(382\) | 6.59442e6 | − | 4.49600e6i | 2.31216 | − | 1.57640i | ||||
\(383\) | −392555. | − | 1.71990e6i | −0.136743 | − | 0.599108i | −0.996138 | − | 0.0877973i | \(-0.972017\pi\) |
0.859396 | − | 0.511311i | \(-0.170840\pi\) | |||||||
\(384\) | 3.89558e6 | − | 587164.i | 1.34817 | − | 0.203204i | ||||
\(385\) | −698768. | + | 876227.i | −0.240260 | + | 0.301276i | ||||
\(386\) | 6.15089e6 | 2.10121 | ||||||||
\(387\) | −458151. | + | 1.06649e6i | −0.155500 | + | 0.361974i | ||||
\(388\) | −6.27599e6 | −2.11643 | ||||||||
\(389\) | 229514. | − | 287802.i | 0.0769016 | − | 0.0964315i | −0.741893 | − | 0.670519i | \(-0.766072\pi\) |
0.818794 | + | 0.574087i | \(0.194643\pi\) | |||||||
\(390\) | −6.68515e6 | + | 1.00762e6i | −2.22561 | + | 0.335457i | ||||
\(391\) | −195019. | − | 854436.i | −0.0645113 | − | 0.282643i | ||||
\(392\) | −532522. | + | 363068.i | −0.175034 | + | 0.119336i | ||||
\(393\) | 1.08352e6 | − | 1.87672e6i | 0.353881 | − | 0.612940i | ||||
\(394\) | 1.52669e6 | + | 2.64430e6i | 0.495461 | + | 0.858163i | ||||
\(395\) | −2.25555e6 | − | 1.08622e6i | −0.727379 | − | 0.350287i | ||||
\(396\) | −705390. | + | 217584.i | −0.226043 | + | 0.0697251i | ||||
\(397\) | −42401.9 | + | 565814.i | −0.0135023 | + | 0.180176i | 0.986375 | + | 0.164513i | \(0.0526051\pi\) |
−0.999877 | + | 0.0156635i | \(0.995014\pi\) | |||||||
\(398\) | −551970. | + | 2.41834e6i | −0.174666 | + | 0.765261i | ||||
\(399\) | 288124. | + | 734129.i | 0.0906041 | + | 0.230855i | ||||
\(400\) | 24993.5 | + | 333515.i | 0.00781048 | + | 0.104224i | ||||
\(401\) | 1.18730e6 | + | 178956.i | 0.368722 | + | 0.0555759i | 0.330790 | − | 0.943704i | \(-0.392685\pi\) |
0.0379321 | + | 0.999280i | \(0.487923\pi\) | |||||||
\(402\) | 2.68487e6 | − | 2.49119e6i | 0.828625 | − | 0.768851i | ||||
\(403\) | 2.18793e6 | − | 1.05365e6i | 0.671074 | − | 0.323172i | ||||
\(404\) | −5.77408e6 | − | 3.93670e6i | −1.76007 | − | 1.19999i | ||||
\(405\) | 660108. | − | 1.68193e6i | 0.199976 | − | 0.509530i | ||||
\(406\) | 5.50476e6 | + | 1.69799e6i | 1.65739 | + | 0.511236i | ||||
\(407\) | 137695. | + | 127762.i | 0.0412033 | + | 0.0382311i | ||||
\(408\) | 312316. | + | 391632.i | 0.0928846 | + | 0.116474i | ||||
\(409\) | −819282. | − | 1.02735e6i | −0.242173 | − | 0.303675i | 0.645859 | − | 0.763456i | \(-0.276499\pi\) |
−0.888032 | + | 0.459781i | \(0.847928\pi\) | |||||||
\(410\) | 71769.2 | + | 66592.1i | 0.0210852 | + | 0.0195642i | ||||
\(411\) | −400954. | − | 123678.i | −0.117082 | − | 0.0361150i | ||||
\(412\) | −2.17631e6 | + | 5.54514e6i | −0.631651 | + | 1.60942i | ||||
\(413\) | −758657. | − | 517244.i | −0.218862 | − | 0.149218i | ||||
\(414\) | 3.62505e6 | − | 1.74573e6i | 1.03947 | − | 0.500583i | ||||
\(415\) | 1.73128e6 | − | 1.60639e6i | 0.493454 | − | 0.457859i | ||||
\(416\) | −4.09058e6 | − | 616556.i | −1.15892 | − | 0.174678i | ||||
\(417\) | 140488. | + | 1.87468e6i | 0.0395638 | + | 0.527943i | ||||
\(418\) | 265198. | + | 675712.i | 0.0742384 | + | 0.189156i | ||||
\(419\) | 1.01429e6 | − | 4.44389e6i | 0.282245 | − | 1.23660i | −0.612662 | − | 0.790345i | \(-0.709901\pi\) |
0.894907 | − | 0.446252i | \(-0.147241\pi\) | |||||||
\(420\) | −395886. | + | 5.28273e6i | −0.109508 | + | 1.46128i | ||||
\(421\) | −3.20577e6 | + | 988848.i | −0.881509 | + | 0.271909i | −0.702282 | − | 0.711898i | \(-0.747836\pi\) |
−0.179226 | + | 0.983808i | \(0.557359\pi\) | |||||||
\(422\) | −5.98547e6 | − | 2.88245e6i | −1.63613 | − | 0.787917i | ||||
\(423\) | −1.30928e6 | − | 2.26774e6i | −0.355780 | − | 0.616230i | ||||
\(424\) | 450728. | − | 780684.i | 0.121759 | − | 0.210892i | ||||
\(425\) | 237825. | − | 162146.i | 0.0638683 | − | 0.0435447i | ||||
\(426\) | −1.38474e6 | − | 6.06694e6i | −0.369695 | − | 1.61974i | ||||
\(427\) | 4.05231e6 | − | 610788.i | 1.07556 | − | 0.162114i | ||||
\(428\) | −5.20878e6 | + | 6.53161e6i | −1.37444 | + | 1.72350i | ||||
\(429\) | −1.50427e6 | −0.394623 | ||||||||
\(430\) | 5.45196e6 | + | 5.39073e6i | 1.42194 | + | 1.40597i | ||||
\(431\) | 7.05019e6 | 1.82813 | 0.914066 | − | 0.405566i | \(-0.132926\pi\) | ||||
0.914066 | + | 0.405566i | \(0.132926\pi\) | |||||||
\(432\) | −578566. | + | 725498.i | −0.149157 | + | 0.187037i | ||||
\(433\) | 1.31185e6 | − | 197730.i | 0.336253 | − | 0.0506820i | 0.0212543 | − | 0.999774i | \(-0.493234\pi\) |
0.314999 | + | 0.949092i | \(0.397996\pi\) | |||||||
\(434\) | −670666. | − | 2.93838e6i | −0.170916 | − | 0.748831i | ||||
\(435\) | −3.58535e6 | + | 2.44445e6i | −0.908465 | + | 0.619381i | ||||
\(436\) | −6.21823e6 | + | 1.07703e7i | −1.56657 | + | 2.71339i | ||||
\(437\) | −1.24897e6 | − | 2.16328e6i | −0.312858 | − | 0.541886i | ||||
\(438\) | 8.51473e6 | + | 4.10048e6i | 2.12073 | + | 1.02129i | ||||
\(439\) | 804324. | − | 248101.i | 0.199191 | − | 0.0614423i | −0.193554 | − | 0.981090i | \(-0.562002\pi\) |
0.392745 | + | 0.919647i | \(0.371525\pi\) | |||||||
\(440\) | −151620. | + | 2.02323e6i | −0.0373358 | + | 0.498211i | ||||
\(441\) | −64622.6 | + | 283130.i | −0.0158230 | + | 0.0693250i | ||||
\(442\) | −582612. | − | 1.48447e6i | −0.141848 | − | 0.361423i | ||||
\(443\) | 349769. | + | 4.66734e6i | 0.0846782 | + | 1.12995i | 0.864055 | + | 0.503397i | \(0.167917\pi\) |
−0.779377 | + | 0.626555i | \(0.784464\pi\) | |||||||
\(444\) | 877963. | + | 132332.i | 0.211358 | + | 0.0318571i | ||||
\(445\) | −6.44508e6 | + | 5.98016e6i | −1.54287 | + | 1.43157i | ||||
\(446\) | 1.03306e7 | − | 4.97497e6i | 2.45917 | − | 1.18428i | ||||
\(447\) | 3.22118e6 | + | 2.19616e6i | 0.762511 | + | 0.519871i | ||||
\(448\) | −2.18548e6 | + | 5.56850e6i | −0.514459 | + | 1.31082i | ||||
\(449\) | −5.31981e6 | − | 1.64094e6i | −1.24532 | − | 0.384130i | −0.399071 | − | 0.916920i | \(-0.630667\pi\) |
−0.846247 | + | 0.532790i | \(0.821144\pi\) | |||||||
\(450\) | 968687. | + | 898810.i | 0.225503 | + | 0.209236i | ||||
\(451\) | 13582.2 | + | 17031.5i | 0.00314433 | + | 0.00394286i | ||||
\(452\) | 342812. | + | 429873.i | 0.0789241 | + | 0.0989677i | ||||
\(453\) | 1.61287e6 | + | 1.49652e6i | 0.369278 | + | 0.342640i | ||||
\(454\) | 755250. | + | 232964.i | 0.171969 | + | 0.0530455i | ||||
\(455\) | 2.56381e6 | − | 6.53248e6i | 0.580574 | − | 1.47928i | ||||
\(456\) | 1.17963e6 | + | 804256.i | 0.265664 | + | 0.181127i | ||||
\(457\) | 3.60695e6 | − | 1.73701e6i | 0.807885 | − | 0.389057i | 0.0161102 | − | 0.999870i | \(-0.494872\pi\) |
0.791775 | + | 0.610813i | \(0.209157\pi\) | |||||||
\(458\) | −8.21183e6 | + | 7.61946e6i | −1.82926 | + | 1.69731i | ||||
\(459\) | 789706. | + | 119029.i | 0.174958 | + | 0.0263707i | ||||
\(460\) | −1.25392e6 | − | 1.67324e7i | −0.276296 | − | 3.68691i | ||||
\(461\) | −816119. | − | 2.07944e6i | −0.178855 | − | 0.455715i | 0.813128 | − | 0.582085i | \(-0.197763\pi\) |
−0.991983 | + | 0.126369i | \(0.959668\pi\) | |||||||
\(462\) | −415441. | + | 1.82016e6i | −0.0905533 | + | 0.396740i | ||||
\(463\) | 289657. | − | 3.86521e6i | 0.0627960 | − | 0.837955i | −0.873518 | − | 0.486792i | \(-0.838167\pi\) |
0.936314 | − | 0.351163i | \(-0.114214\pi\) | |||||||
\(464\) | 1.13648e6 | − | 350557.i | 0.245056 | − | 0.0755899i | ||||
\(465\) | 2.04549e6 | + | 985054.i | 0.438696 | + | 0.211265i | ||||
\(466\) | −7.35305e6 | − | 1.27358e7i | −1.56856 | − | 2.71683i | ||||
\(467\) | −1.51196e6 | + | 2.61879e6i | −0.320810 | + | 0.555659i | −0.980655 | − | 0.195742i | \(-0.937288\pi\) |
0.659846 | + | 0.751401i | \(0.270622\pi\) | |||||||
\(468\) | 3.81905e6 | − | 2.60378e6i | 0.806010 | − | 0.549528i | ||||
\(469\) | 845975. | + | 3.70646e6i | 0.177593 | + | 0.778085i | ||||
\(470\) | −1.71034e7 | + | 2.57793e6i | −3.57140 | + | 0.538302i | ||||
\(471\) | −1.42653e6 | + | 1.78881e6i | −0.296297 | + | 0.371545i | ||||
\(472\) | −1.66225e6 | −0.343433 | ||||||||
\(473\) | 1.02076e6 | + | 1.36686e6i | 0.209783 | + | 0.280912i | ||||
\(474\) | −4.17040e6 | −0.852574 | ||||||||
\(475\) | 511512. | − | 641415.i | 0.104021 | − | 0.130438i | ||||
\(476\) | −1.23563e6 | + | 186241.i | −0.249960 | + | 0.0376754i | ||||
\(477\) | −90385.1 | − | 396003.i | −0.0181887 | − | 0.0796898i | ||||
\(478\) | −637537. | + | 434665.i | −0.127625 | + | 0.0870132i | ||||
\(479\) | −2.94029e6 | + | 5.09273e6i | −0.585533 | + | 1.01417i | 0.409276 | + | 0.912411i | \(0.365781\pi\) |
−0.994809 | + | 0.101762i | \(0.967552\pi\) | |||||||
\(480\) | −1.93373e6 | − | 3.34932e6i | −0.383083 | − | 0.663520i | ||||
\(481\) | −1.05969e6 | − | 510318.i | −0.208840 | − | 0.100572i | ||||
\(482\) | 4.83175e6 | − | 1.49040e6i | 0.947299 | − | 0.292203i | ||||
\(483\) | 480113. | − | 6.40667e6i | 0.0936432 | − | 1.24958i | ||||
\(484\) | 1.72260e6 | − | 7.54721e6i | 0.334250 | − | 1.46444i | ||||
\(485\) | 2.83960e6 | + | 7.23519e6i | 0.548155 | + | 1.39668i | ||||
\(486\) | 470546. | + | 6.27900e6i | 0.0903673 | + | 1.20587i | ||||
\(487\) | 701959. | + | 105803.i | 0.134119 | + | 0.0202152i | 0.215759 | − | 0.976447i | \(-0.430778\pi\) |
−0.0816398 | + | 0.996662i | \(0.526016\pi\) | |||||||
\(488\) | 5.43843e6 | − | 5.04612e6i | 1.03377 | − | 0.959198i | ||||
\(489\) | −1.72225e6 | + | 829394.i | −0.325705 | + | 0.156851i | ||||
\(490\) | 1.58496e6 | + | 1.08060e6i | 0.298213 | + | 0.203318i | ||||
\(491\) | 330498. | − | 842096.i | 0.0618679 | − | 0.157637i | −0.896597 | − | 0.442848i | \(-0.853968\pi\) |
0.958465 | + | 0.285211i | \(0.0920635\pi\) | |||||||
\(492\) | 98395.2 | + | 30350.9i | 0.0183257 | + | 0.00565273i | ||||
\(493\) | −750329. | − | 696204.i | −0.139038 | − | 0.129009i | ||||
\(494\) | −2.83390e6 | − | 3.55360e6i | −0.522477 | − | 0.655165i | ||||
\(495\) | 569996. | + | 714753.i | 0.104558 | + | 0.131112i | ||||
\(496\) | −456134. | − | 423231.i | −0.0832508 | − | 0.0772455i | ||||
\(497\) | 6.17247e6 | + | 1.90395e6i | 1.12090 | + | 0.345753i | ||||
\(498\) | 1.43736e6 | − | 3.66233e6i | 0.259712 | − | 0.661736i | ||||
\(499\) | 2.23234e6 | + | 1.52198e6i | 0.401337 | + | 0.273627i | 0.747122 | − | 0.664687i | \(-0.231435\pi\) |
−0.345785 | + | 0.938314i | \(0.612387\pi\) | |||||||
\(500\) | −5.50762e6 | + | 2.65233e6i | −0.985232 | + | 0.474463i | ||||
\(501\) | 2.22020e6 | − | 2.06004e6i | 0.395182 | − | 0.366675i | ||||
\(502\) | −3.26346e6 | − | 491887.i | −0.577988 | − | 0.0871177i | ||||
\(503\) | 53543.1 | + | 714482.i | 0.00943590 | + | 0.125913i | 0.999932 | − | 0.0116244i | \(-0.00370024\pi\) |
−0.990497 | + | 0.137538i | \(0.956081\pi\) | |||||||
\(504\) | −872084. | − | 2.22203e6i | −0.152926 | − | 0.389650i | ||||
\(505\) | −1.92586e6 | + | 8.43775e6i | −0.336044 | + | 1.47231i | ||||
\(506\) | 441910. | − | 5.89687e6i | 0.0767286 | − | 1.02387i | ||||
\(507\) | 4.69504e6 | − | 1.44823e6i | 0.811183 | − | 0.250217i | ||||
\(508\) | 8.85231e6 | + | 4.26305e6i | 1.52194 | + | 0.732927i | ||||
\(509\) | −314290. | − | 544367.i | −0.0537696 | − | 0.0931316i | 0.837888 | − | 0.545843i | \(-0.183790\pi\) |
−0.891657 | + | 0.452711i | \(0.850457\pi\) | |||||||
\(510\) | 745443. | − | 1.29114e6i | 0.126908 | − | 0.219811i | ||||
\(511\) | −8.10522e6 | + | 5.52604e6i | −1.37313 | + | 0.936186i | ||||
\(512\) | 577385. | + | 2.52969e6i | 0.0973398 | + | 0.426474i | ||||
\(513\) | 2.25081e6 | − | 339256.i | 0.377612 | − | 0.0569159i | ||||
\(514\) | 1.04632e7 | − | 1.31204e7i | 1.74685 | − | 2.19048i | ||||
\(515\) | 7.37732e6 | 1.22569 | ||||||||
\(516\) | 7.62614e6 | + | 2.62026e6i | 1.26090 | + | 0.433231i | ||||
\(517\) | −3.84855e6 | −0.633244 | ||||||||
\(518\) | −910143. | + | 1.14128e6i | −0.149034 | + | 0.186883i | ||||
\(519\) | −5.05033e6 | + | 761215.i | −0.823003 | + | 0.124048i | ||||
\(520\) | −2.82694e6 | − | 1.23856e7i | −0.458467 | − | 2.00867i | ||||
\(521\) | −498998. | + | 340211.i | −0.0805387 | + | 0.0549103i | −0.602920 | − | 0.797802i | \(-0.705996\pi\) |
0.522381 | + | 0.852712i | \(0.325044\pi\) | |||||||
\(522\) | 2.34954e6 | − | 4.06953e6i | 0.377405 | − | 0.653684i | ||||
\(523\) | 1.82267e6 | + | 3.15695e6i | 0.291375 | + | 0.504677i | 0.974135 | − | 0.225966i | \(-0.0725538\pi\) |
−0.682760 | + | 0.730643i | \(0.739220\pi\) | |||||||
\(524\) | 8.81733e6 | + | 4.24620e6i | 1.40284 | + | 0.675573i | ||||
\(525\) | 2.01631e6 | − | 621949.i | 0.319271 | − | 0.0984819i | ||||
\(526\) | 300707. | − | 4.01266e6i | 0.0473892 | − | 0.632365i | ||||
\(527\) | −119165. | + | 522096.i | −0.0186906 | + | 0.0818887i | ||||
\(528\) | 140818. | + | 358799.i | 0.0219824 | + | 0.0560101i | ||||
\(529\) | 1.03971e6 | + | 1.38740e7i | 0.161538 | + | 2.15557i | ||||
\(530\) | −2.65305e6 | − | 399883.i | −0.410257 | − | 0.0618363i | ||||
\(531\) | −549052. | + | 509446.i | −0.0845040 | + | 0.0784083i | ||||
\(532\) | −3.20885e6 | + | 1.54530e6i | −0.491553 | + | 0.236719i | ||||
\(533\) | −112701. | − | 76838.4i | −0.0171835 | − | 0.0117155i | ||||
\(534\) | −5.35089e6 | + | 1.36339e7i | −0.812032 | + | 2.06902i | ||||
\(535\) | 9.88661e6 | + | 3.04962e6i | 1.49336 | + | 0.460639i | ||||
\(536\) | 5.04520e6 | + | 4.68127e6i | 0.758520 | + | 0.703803i | ||||
\(537\) | −4.98740e6 | − | 6.25401e6i | −0.746344 | − | 0.935886i | ||||
\(538\) | −4.16123e6 | − | 5.21802e6i | −0.619821 | − | 0.777230i | ||||
\(539\) | 312883. | + | 290313.i | 0.0463885 | + | 0.0430423i | ||||
\(540\) | 1.46108e7 | + | 4.50683e6i | 2.15620 | + | 0.665100i | ||||
\(541\) | −3.22802e6 | + | 8.22485e6i | −0.474179 | + | 1.20819i | 0.471144 | + | 0.882056i | \(0.343841\pi\) |
−0.945324 | + | 0.326133i | \(0.894254\pi\) | |||||||
\(542\) | 4.15783e6 | + | 2.83476e6i | 0.607952 | + | 0.414494i | ||||
\(543\) | 1.16281e6 | − | 559978.i | 0.169242 | − | 0.0815026i | ||||
\(544\) | 668733. | − | 620493.i | 0.0968847 | − | 0.0898959i | ||||
\(545\) | 1.52299e7 | + | 2.29553e6i | 2.19637 | + | 0.331049i | ||||
\(546\) | −873610. | − | 1.16575e7i | −0.125411 | − | 1.67349i | ||||
\(547\) | −1.34208e6 | − | 3.41957e6i | −0.191784 | − | 0.488656i | 0.802345 | − | 0.596860i | \(-0.203585\pi\) |
−0.994129 | + | 0.108204i | \(0.965490\pi\) | |||||||
\(548\) | 421658. | − | 1.84740e6i | 0.0599803 | − | 0.262791i | ||||
\(549\) | 249813. | − | 3.33353e6i | 0.0353740 | − | 0.472034i | ||||
\(550\) | 1.85587e6 | − | 572459.i | 0.261601 | − | 0.0806933i | ||||
\(551\) | −2.62846e6 | − | 1.26580e6i | −0.368826 | − | 0.177617i | ||||
\(552\) | −5.81535e6 | − | 1.00725e7i | −0.812322 | − | 1.40698i | ||||
\(553\) | 2.16444e6 | − | 3.74893e6i | 0.300977 | − | 0.521308i | ||||
\(554\) | 1.74004e6 | − | 1.18634e6i | 0.240871 | − | 0.164223i | ||||
\(555\) | −244682. | − | 1.07202e6i | −0.0337186 | − | 0.147731i | ||||
\(556\) | −8.39505e6 | + | 1.26535e6i | −1.15169 | + | 0.173590i | ||||
\(557\) | −4.73002e6 | + | 5.93126e6i | −0.645989 | + | 0.810045i | −0.991738 | − | 0.128283i | \(-0.959054\pi\) |
0.345749 | + | 0.938327i | \(0.387625\pi\) | |||||||
\(558\) | −2.45852e6 | −0.334264 | ||||||||
\(559\) | −8.63033e6 | − | 6.29450e6i | −1.16815 | − | 0.851985i | ||||
\(560\) | −1.79814e6 | −0.242299 | ||||||||
\(561\) | 206828. | − | 259354.i | 0.0277462 | − | 0.0347926i | ||||
\(562\) | −1.03632e7 | + | 1.56200e6i | −1.38405 | + | 0.208612i | ||||
\(563\) | −1.57811e6 | − | 6.91414e6i | −0.209829 | − | 0.919321i | −0.964680 | − | 0.263425i | \(-0.915148\pi\) |
0.754851 | − | 0.655896i | \(-0.227709\pi\) | |||||||
\(564\) | −1.50305e7 | + | 1.02476e7i | −1.98964 | + | 1.35652i | ||||
\(565\) | 340466. | − | 589704.i | 0.0448696 | − | 0.0777165i | ||||
\(566\) | 7.82259e6 | + | 1.35491e7i | 1.02638 | + | 1.77775i | ||||
\(567\) | 2.81487e6 | + | 1.35557e6i | 0.367707 | + | 0.177078i | ||||
\(568\) | 1.11742e7 | − | 3.44678e6i | 1.45327 | − | 0.448274i | ||||
\(569\) | 732253. | − | 9.77124e6i | 0.0948157 | − | 1.26523i | −0.723445 | − | 0.690382i | \(-0.757443\pi\) |
0.818261 | − | 0.574847i | \(-0.194938\pi\) | |||||||
\(570\) | 945560. | − | 4.14277e6i | 0.121900 | − | 0.534077i | ||||
\(571\) | −2.94391e6 | − | 7.50095e6i | −0.377862 | − | 0.962778i | −0.985669 | − | 0.168692i | \(-0.946046\pi\) |
0.607806 | − | 0.794085i | \(-0.292050\pi\) | |||||||
\(572\) | −507668. | − | 6.77435e6i | −0.0648768 | − | 0.865720i | ||||
\(573\) | −1.02796e7 | − | 1.54940e6i | −1.30795 | − | 0.197141i | ||||
\(574\) | −124100. | + | 115148.i | −0.0157214 | + | 0.0145873i | ||||
\(575\) | −6.02147e6 | + | 2.89979e6i | −0.759509 | + | 0.365760i | ||||
\(576\) | 4.03174e6 | + | 2.74879e6i | 0.506333 | + | 0.345212i | ||||
\(577\) | −2.23853e6 | + | 5.70369e6i | −0.279913 | + | 0.713208i | 0.719903 | + | 0.694074i | \(0.244186\pi\) |
−0.999817 | + | 0.0191337i | \(0.993909\pi\) | |||||||
\(578\) | −1.23049e7 | − | 3.79554e6i | −1.53199 | − | 0.472557i | ||||
\(579\) | −5.87295e6 | − | 5.44931e6i | −0.728048 | − | 0.675530i | ||||
\(580\) | −1.22184e7 | − | 1.53213e7i | −1.50815 | − | 1.89115i | ||||
\(581\) | 2.54621e6 | + | 3.19285e6i | 0.312935 | + | 0.392408i | ||||
\(582\) | 9.49136e6 | + | 8.80670e6i | 1.16150 | + | 1.07772i | ||||
\(583\) | −570459. | − | 175963.i | −0.0695109 | − | 0.0214413i | ||||
\(584\) | −6.48806e6 | + | 1.65313e7i | −0.787196 | + | 2.00574i | ||||
\(585\) | −4.72968e6 | − | 3.22464e6i | −0.571403 | − | 0.389576i | ||||
\(586\) | −714441. | + | 344057.i | −0.0859454 | + | 0.0413891i | ||||
\(587\) | −3.65625e6 | + | 3.39251e6i | −0.437967 | + | 0.406374i | −0.868098 | − | 0.496393i | \(-0.834658\pi\) |
0.430132 | + | 0.902766i | \(0.358467\pi\) | |||||||
\(588\) | 1.99499e6 | + | 300696.i | 0.237956 | + | 0.0358661i | ||||
\(589\) | 114064. | + | 1.52208e6i | 0.0135475 | + | 0.180779i | ||||
\(590\) | 1.80749e6 | + | 4.60540e6i | 0.213769 | + | 0.544675i | ||||
\(591\) | 884982. | − | 3.87736e6i | 0.104224 | − | 0.456633i | ||||
\(592\) | −22521.5 | + | 300529.i | −0.00264115 | + | 0.0352437i | ||||
\(593\) | 8.43732e6 | − | 2.60257e6i | 0.985298 | − | 0.303924i | 0.240086 | − | 0.970752i | \(-0.422824\pi\) |
0.745212 | + | 0.666827i | \(0.232348\pi\) | |||||||
\(594\) | 4.85494e6 | + | 2.33802e6i | 0.564570 | + | 0.271883i | ||||
\(595\) | 773771. | + | 1.34021e6i | 0.0896025 | + | 0.155196i | ||||
\(596\) | −8.80314e6 | + | 1.52475e7i | −1.01513 | + | 1.75826i | ||||
\(597\) | 2.66953e6 | − | 1.82005e6i | 0.306548 | − | 0.209001i | ||||
\(598\) | 8.23934e6 | + | 3.60989e7i | 0.942192 | + | 4.12801i | ||||
\(599\) | −1.26228e7 | + | 1.90258e6i | −1.43744 | + | 0.216659i | −0.821082 | − | 0.570810i | \(-0.806629\pi\) |
−0.616354 | + | 0.787469i | \(0.711391\pi\) | |||||||
\(600\) | 2.38166e6 | − | 2.98651e6i | 0.270086 | − | 0.338677i | ||||
\(601\) | −3.69684e6 | −0.417488 | −0.208744 | − | 0.977970i | \(-0.566938\pi\) | ||||
−0.208744 | + | 0.977970i | \(0.566938\pi\) | |||||||
\(602\) | −9.99982e6 | + | 8.70432e6i | −1.12461 | + | 0.978911i | ||||
\(603\) | 3.10117e6 | 0.347322 | ||||||||
\(604\) | −6.19515e6 | + | 7.76848e6i | −0.690971 | + | 0.866450i | ||||
\(605\) | −9.48009e6 | + | 1.42889e6i | −1.05299 | + | 0.158713i | ||||
\(606\) | 3.20818e6 | + | 1.40560e7i | 0.354877 | + | 1.55482i | ||||
\(607\) | 1.29083e7 | − | 8.80074e6i | 1.42199 | − | 0.969499i | 0.424035 | − | 0.905646i | \(-0.360613\pi\) |
0.997959 | − | 0.0638532i | \(-0.0203389\pi\) | |||||||
\(608\) | 1.30006e6 | − | 2.25176e6i | 0.142627 | − | 0.247038i | ||||
\(609\) | −3.75170e6 | − | 6.49814e6i | −0.409907 | − | 0.709980i | ||||
\(610\) | −1.98942e7 | − | 9.58057e6i | −2.16473 | − | 1.04248i | ||||
\(611\) | 2.30274e7 | − | 7.10301e6i | 2.49541 | − | 0.769732i | ||||
\(612\) | −76172.8 | + | 1.01646e6i | −0.00822094 | + | 0.109701i | ||||
\(613\) | 2.64755e6 | − | 1.15997e7i | 0.284572 | − | 1.24679i | −0.607288 | − | 0.794482i | \(-0.707743\pi\) |
0.891860 | − | 0.452311i | \(-0.149400\pi\) | |||||||
\(614\) | −7.42051e6 | − | 1.89071e7i | −0.794351 | − | 2.02397i | ||||
\(615\) | −9529.77 | − | 127166.i | −0.00101600 | − | 0.0135576i | ||||
\(616\) | −3.46909e6 | − | 522882.i | −0.368353 | − | 0.0555203i | ||||
\(617\) | 917488. | − | 851304.i | 0.0970258 | − | 0.0900268i | −0.630169 | − | 0.776458i | \(-0.717014\pi\) |
0.727195 | + | 0.686431i | \(0.240824\pi\) | |||||||
\(618\) | 1.10724e7 | − | 5.33220e6i | 1.16620 | − | 0.561611i | ||||
\(619\) | −333955. | − | 227687.i | −0.0350317 | − | 0.0238842i | 0.545678 | − | 0.837995i | \(-0.316272\pi\) |
−0.580709 | + | 0.814111i | \(0.697225\pi\) | |||||||
\(620\) | −3.74579e6 | + | 9.54411e6i | −0.391349 | + | 0.997140i | ||||
\(621\) | −1.77194e7 | − | 5.46570e6i | −1.84382 | − | 0.568744i | ||||
\(622\) | 1.17864e7 | + | 1.09362e7i | 1.22154 | + | 1.13342i | ||||
\(623\) | −9.47885e6 | − | 1.18861e7i | −0.978443 | − | 1.22693i | ||||
\(624\) | −1.50478e6 | − | 1.88694e6i | −0.154708 | − | 0.193997i | ||||
\(625\) | 8.94358e6 | + | 8.29843e6i | 0.915823 | + | 0.849760i | ||||
\(626\) | 2.53482e7 | + | 7.81887e6i | 2.58530 | + | 0.797459i | ||||
\(627\) | 345425. | − | 880127.i | 0.0350901 | − | 0.0894081i | ||||
\(628\) | −8.53718e6 | − | 5.82055e6i | −0.863804 | − | 0.588932i | ||||
\(629\) | 233686. | − | 112537.i | 0.0235508 | − | 0.0113415i | ||||
\(630\) | −5.20803e6 | + | 4.83235e6i | −0.522784 | + | 0.485073i | ||||
\(631\) | 8.18763e6 | + | 1.23409e6i | 0.818625 | + | 0.123388i | 0.544986 | − | 0.838445i | \(-0.316535\pi\) |
0.273638 | + | 0.961833i | \(0.411773\pi\) | |||||||
\(632\) | −585638. | − | 7.81480e6i | −0.0583226 | − | 0.778261i | ||||
\(633\) | 3.16133e6 | + | 8.05495e6i | 0.313589 | + | 0.799012i | ||||
\(634\) | −3.78443e6 | + | 1.65807e7i | −0.373919 | + | 1.63825i | ||||
\(635\) | 909325. | − | 1.21341e7i | 0.0894921 | − | 1.19419i | ||||
\(636\) | −2.69646e6 | + | 831749.i | −0.264333 | + | 0.0815360i | ||||
\(637\) | −2.40792e6 | − | 1.15959e6i | −0.235122 | − | 0.113229i | ||||
\(638\) | −3.45317e6 | − | 5.98107e6i | −0.335866 | − | 0.581737i | ||||
\(639\) | 2.63454e6 | − | 4.56315e6i | 0.255242 | − | 0.442092i | ||||
\(640\) | 1.82050e7 | − | 1.24120e7i | 1.75688 | − | 1.19782i | ||||
\(641\) | −1.10940e6 | − | 4.86061e6i | −0.106646 | − | 0.467246i | −0.999845 | − | 0.0175857i | \(-0.994402\pi\) |
0.893199 | − | 0.449661i | \(-0.148455\pi\) | |||||||
\(642\) | 1.70428e7 | − | 2.56879e6i | 1.63193 | − | 0.245975i | ||||
\(643\) | −1.08278e7 | + | 1.35776e7i | −1.03279 | + | 1.29508i | −0.0782674 | + | 0.996932i | \(0.524939\pi\) |
−0.954521 | + | 0.298143i | \(0.903633\pi\) | |||||||
\(644\) | 2.90139e7 | 2.75671 | ||||||||
\(645\) | −429758. | − | 9.97723e6i | −0.0406747 | − | 0.944302i | ||||
\(646\) | 1.00233e6 | 0.0944993 | ||||||||
\(647\) | −7.75487e6 | + | 9.72430e6i | −0.728306 | + | 0.913267i | −0.998776 | − | 0.0494614i | \(-0.984250\pi\) |
0.270470 | + | 0.962728i | \(0.412821\pi\) | |||||||
\(648\) | 5.59279e6 | − | 842978.i | 0.523228 | − | 0.0788640i | ||||
\(649\) | 244954. | + | 1.07321e6i | 0.0228282 | + | 0.100017i | ||||
\(650\) | −1.00478e7 | + | 6.85049e6i | −0.932801 | + | 0.635973i | ||||
\(651\) | −1.96286e6 | + | 3.39977e6i | −0.181525 | + | 0.314411i | ||||
\(652\) | −4.31634e6 | − | 7.47612e6i | −0.397646 | − | 0.688743i | ||||
\(653\) | 795307. | + | 383000.i | 0.0729881 | + | 0.0351492i | 0.470022 | − | 0.882655i | \(-0.344246\pi\) |
−0.397034 | + | 0.917804i | \(0.629960\pi\) | |||||||
\(654\) | 2.45173e7 | − | 7.56258e6i | 2.24144 | − | 0.691394i | ||||
\(655\) | 905732. | − | 1.20861e7i | 0.0824890 | − | 1.10074i | ||||
\(656\) | −7777.30 | + | 34074.6i | −0.000705618 | + | 0.00309151i | ||||
\(657\) | 2.92346e6 | + | 7.44884e6i | 0.264231 | + | 0.673249i | ||||
\(658\) | −2.23506e6 | − | 2.98248e7i | −0.201245 | − | 2.68542i | ||||
\(659\) | 6.81690e6 | + | 1.02748e6i | 0.611468 | + | 0.0921639i | 0.447473 | − | 0.894297i | \(-0.352324\pi\) |
0.163994 | + | 0.986461i | \(0.447562\pi\) | |||||||
\(660\) | 4.65567e6 | − | 4.31983e6i | 0.416028 | − | 0.386017i | ||||
\(661\) | −3.80472e6 | + | 1.83226e6i | −0.338703 | + | 0.163111i | −0.595502 | − | 0.803354i | \(-0.703047\pi\) |
0.256798 | + | 0.966465i | \(0.417332\pi\) | |||||||
\(662\) | −5.64973e6 | − | 3.85192e6i | −0.501052 | − | 0.341611i | ||||
\(663\) | −758862. | + | 1.93355e6i | −0.0670469 | + | 0.170833i | ||||
\(664\) | 7.06458e6 | + | 2.17914e6i | 0.621823 | + | 0.191807i | ||||
\(665\) | 3.23334e6 | + | 3.00010e6i | 0.283529 | + | 0.263076i | ||||
\(666\) | 742418. | + | 930963.i | 0.0648579 | + | 0.0813292i | ||||
\(667\) | 1.48179e7 | + | 1.85811e7i | 1.28965 | + | 1.61717i | ||||
\(668\) | 1.00265e7 | + | 9.30323e6i | 0.869377 | + | 0.806664i | ||||
\(669\) | −1.42713e7 | − | 4.40212e6i | −1.23282 | − | 0.380274i | ||||
\(670\) | 7.48379e6 | − | 1.90684e7i | 0.644073 | − | 1.64107i | ||||
\(671\) | −4.05938e6 | − | 2.76764e6i | −0.348059 | − | 0.237303i | ||||
\(672\) | 6.02517e6 | − | 2.90157e6i | 0.514690 | − | 0.247862i | ||||
\(673\) | 620157. | − | 575421.i | 0.0527793 | − | 0.0489720i | −0.653342 | − | 0.757063i | \(-0.726634\pi\) |
0.706122 | + | 0.708091i | \(0.250443\pi\) | |||||||
\(674\) | −9.15602e6 | − | 1.38005e6i | −0.776349 | − | 0.117016i | ||||
\(675\) | −455119. | − | 6.07314e6i | −0.0384473 | − | 0.513043i | ||||
\(676\) | 8.10647e6 | + | 2.06549e7i | 0.682284 | + | 1.73843i | ||||
\(677\) | −2.05841e6 | + | 9.01849e6i | −0.172608 | + | 0.756244i | 0.812311 | + | 0.583225i | \(0.198209\pi\) |
−0.984918 | + | 0.173019i | \(0.944648\pi\) | |||||||
\(678\) | 84768.3 | − | 1.13115e6i | 0.00708205 | − | 0.0945035i | ||||
\(679\) | −1.28427e7 | + | 3.96144e6i | −1.06901 | + | 0.329746i | ||||
\(680\) | 2.52412e6 | + | 1.21555e6i | 0.209333 | + | 0.100809i | ||||
\(681\) | −514731. | − | 891541.i | −0.0425317 | − | 0.0736671i | ||||
\(682\) | −1.80667e6 | + | 3.12924e6i | −0.148737 | + | 0.257619i | ||||
\(683\) | −1.53673e6 | + | 1.04773e6i | −0.126051 | + | 0.0859401i | −0.624704 | − | 0.780861i | \(-0.714780\pi\) |
0.498653 | + | 0.866802i | \(0.333828\pi\) | |||||||
\(684\) | 646472. | + | 2.83238e6i | 0.0528335 | + | 0.231479i | ||||
\(685\) | −2.32053e6 | + | 349764.i | −0.188956 | + | 0.0284806i | ||||
\(686\) | −1.35261e7 | + | 1.69613e7i | −1.09740 | + | 1.37609i | ||||
\(687\) | 1.45911e7 | 1.17950 | ||||||||
\(688\) | −693461. | + | 2.64775e6i | −0.0558536 | + | 0.213259i | ||||
\(689\) | 3.73804e6 | 0.299983 | ||||||||
\(690\) | −2.15831e7 | + | 2.70644e7i | −1.72581 | + | 2.16409i | ||||
\(691\) | 597076. | − | 89994.7i | 0.0475701 | − | 0.00717004i | −0.125214 | − | 0.992130i | \(-0.539962\pi\) |
0.172784 | + | 0.984960i | \(0.444724\pi\) | |||||||
\(692\) | −5.13247e6 | − | 2.24868e7i | −0.407438 | − | 1.78510i | ||||
\(693\) | −1.30611e6 | + | 890493.i | −0.103311 | + | 0.0704365i | ||||
\(694\) | 1.49718e7 | − | 2.59318e7i | 1.17998 | − | 2.04378i | ||||
\(695\) | 5.25712e6 | + | 9.10560e6i | 0.412844 | + | 0.715067i | ||||
\(696\) | −1.22384e7 | − | 5.89372e6i | −0.957641 | − | 0.461176i | ||||
\(697\) | 28743.7 | − | 8866.24i | 0.00224109 | − | 0.000691286i | ||||
\(698\) | 1.28699e6 | − | 1.71737e7i | 0.0999852 | − | 1.33421i | ||||
\(699\) | −4.26238e6 | + | 1.86747e7i | −0.329958 | + | 1.44564i | ||||
\(700\) | 3.48137e6 | + | 8.87038e6i | 0.268537 | + | 0.684222i | ||||
\(701\) | −1.50511e6 | − | 2.00843e7i | −0.115684 | − | 1.54370i | −0.689240 | − | 0.724533i | \(-0.742056\pi\) |
0.573556 | − | 0.819166i | \(-0.305563\pi\) | |||||||
\(702\) | −3.33641e7 | − | 5.02884e6i | −2.55527 | − | 0.385145i | ||||
\(703\) | 541915. | − | 502824.i | 0.0413564 | − | 0.0383732i | ||||
\(704\) | 6.46146e6 | − | 3.11167e6i | 0.491359 | − | 0.236626i | ||||
\(705\) | 1.86144e7 | + | 1.26911e7i | 1.41051 | + | 0.961672i | ||||
\(706\) | −1.24660e7 | + | 3.17629e7i | −0.941274 | + | 2.39833i | ||||
\(707\) | −1.43005e7 | − | 4.41111e6i | −1.07597 | − | 0.331894i | ||||
\(708\) | 3.81433e6 | + | 3.53918e6i | 0.285980 | + | 0.265350i | ||||
\(709\) | −1.46562e7 | − | 1.83782e7i | −1.09498 | − | 1.37306i | −0.921573 | − | 0.388206i | \(-0.873095\pi\) |
−0.173403 | − | 0.984851i | \(-0.555476\pi\) | |||||||
\(710\) | −2.17001e7 | − | 2.72110e7i | −1.61553 | − | 2.02581i | ||||
\(711\) | −2.58851e6 | − | 2.40179e6i | −0.192033 | − | 0.178181i | ||||
\(712\) | −2.62995e7 | − | 8.11232e6i | −1.94423 | − | 0.599715i | ||||
\(713\) | 4.54273e6 | − | 1.15747e7i | 0.334652 | − | 0.852680i | ||||
\(714\) | 2.13001e6 | + | 1.45222e6i | 0.156364 | + | 0.106607i | ||||
\(715\) | −7.58002e6 | + | 3.65035e6i | −0.554505 | + | 0.267036i | ||||
\(716\) | 2.64812e7 | − | 2.45710e7i | 1.93044 | − | 1.79118i | ||||
\(717\) | 993814. | + | 149793.i | 0.0721950 | + | 0.0108817i | ||||
\(718\) | −16944.5 | − | 226108.i | −0.00122664 | − | 0.0163684i | ||||
\(719\) | 2.42210e6 | + | 6.17141e6i | 0.174731 | + | 0.445207i | 0.991231 | − | 0.132138i | \(-0.0421841\pi\) |
−0.816500 | + | 0.577345i | \(0.804089\pi\) | |||||||
\(720\) | −326387. | + | 1.42999e6i | −0.0234639 | + | 0.102802i | ||||
\(721\) | −953294. | + | 1.27208e7i | −0.0682950 | + | 0.911333i | ||||
\(722\) | −1.93147e7 | + | 5.95778e6i | −1.37894 | + | 0.425345i | ||||
\(723\) | −5.93382e6 | − | 2.85758e6i | −0.422171 | − | 0.203307i | ||||
\(724\) | 2.91424e6 | + | 5.04762e6i | 0.206623 | + | 0.357882i | ||||
\(725\) | −3.90277e6 | + | 6.75980e6i | −0.275758 | + | 0.477627i | ||||
\(726\) | −1.31956e7 | + | 8.99664e6i | −0.929157 | + | 0.633489i | ||||
\(727\) | −3.59634e6 | − | 1.57566e7i | −0.252363 | − | 1.10567i | −0.929211 | − | 0.369550i | \(-0.879512\pi\) |
0.676848 | − | 0.736122i | \(-0.263345\pi\) | |||||||
\(728\) | 2.17220e7 | − | 3.27407e6i | 1.51905 | − | 0.228960i | ||||
\(729\) | 9.14684e6 | − | 1.14698e7i | 0.637459 | − | 0.799349i | ||||
\(730\) | 5.28562e7 | 3.67104 | ||||||||
\(731\) | 2.27187e6 | − | 622518.i | 0.157250 | − | 0.0430882i | ||||
\(732\) | −2.32233e7 | −1.60194 | ||||||||
\(733\) | 6.24936e6 | − | 7.83645e6i | 0.429611 | − | 0.538715i | −0.519161 | − | 0.854676i | \(-0.673755\pi\) |
0.948772 | + | 0.315961i | \(0.102327\pi\) | |||||||
\(734\) | −5.08752e6 | + | 766820.i | −0.348551 | + | 0.0525356i | ||||
\(735\) | −555989. | − | 2.43595e6i | −0.0379619 | − | 0.166322i | ||||
\(736\) | −1.75011e7 | + | 1.19320e7i | −1.19089 | + | 0.811932i | ||||
\(737\) | 2.27892e6 | − | 3.94721e6i | 0.154547 | − | 0.267684i | ||||
\(738\) | 69047.0 | + | 119593.i | 0.00466664 | + | 0.00808285i | ||||
\(739\) | 1.43687e7 | + | 6.91960e6i | 0.967847 | + | 0.466090i | 0.849908 | − | 0.526931i | \(-0.176657\pi\) |
0.117938 | + | 0.993021i | \(0.462372\pi\) | |||||||
\(740\) | 4.74518e6 | − | 1.46369e6i | 0.318547 | − | 0.0982588i | ||||
\(741\) | −442419. | + | 5.90368e6i | −0.0295998 | + | 0.394982i | ||||
\(742\) | 1.03235e6 | − | 4.52303e6i | 0.0688363 | − | 0.301592i | ||||
\(743\) | −5.78609e6 | − | 1.47427e7i | −0.384515 | − | 0.979728i | −0.983812 | − | 0.179202i | \(-0.942649\pi\) |
0.599298 | − | 0.800526i | \(-0.295447\pi\) | |||||||
\(744\) | 531095. | + | 7.08697e6i | 0.0351755 | + | 0.469384i | ||||
\(745\) | 2.15609e7 | + | 3.24978e6i | 1.42323 | + | 0.214518i | ||||
\(746\) | −4.52587e6 | + | 4.19940e6i | −0.297752 | + | 0.276274i | ||||
\(747\) | 3.00133e6 | − | 1.44537e6i | 0.196794 | − | 0.0947711i | ||||
\(748\) | 1.23778e6 | + | 843906.i | 0.0808892 | + | 0.0551493i | ||||
\(749\) | −6.53605e6 | + | 1.66536e7i | −0.425707 | + | 1.08468i | ||||
\(750\) | 1.20512e7 | + | 3.71729e6i | 0.782305 | + | 0.241309i | ||||
\(751\) | 1.70290e7 | + | 1.58006e7i | 1.10177 | + | 1.02229i | 0.999621 | + | 0.0275225i | \(0.00876179\pi\) |
0.102147 | + | 0.994769i | \(0.467429\pi\) | |||||||
\(752\) | −3.84986e6 | − | 4.82758e6i | −0.248257 | − | 0.311304i | ||||
\(753\) | 2.68021e6 | + | 3.36088e6i | 0.172259 | + | 0.216006i | ||||
\(754\) | 3.17005e7 | + | 2.94138e7i | 2.03066 | + | 1.88418i | ||||
\(755\) | 1.17588e7 | + | 3.62711e6i | 0.750751 | + | 0.231576i | ||||
\(756\) | −9.65920e6 | + | 2.46112e7i | −0.614663 | + | 1.56613i | ||||
\(757\) | −2.69677e6 | − | 1.83862e6i | −0.171042 | − | 0.116615i | 0.474773 | − | 0.880108i | \(-0.342530\pi\) |
−0.645816 | + | 0.763493i | \(0.723482\pi\) | |||||||
\(758\) | −1.42860e7 | + | 6.87976e6i | −0.903102 | + | 0.434911i | ||||
\(759\) | −5.64620e6 | + | 5.23891e6i | −0.355756 | + | 0.330093i | ||||
\(760\) | 7.89580e6 | + | 1.19010e6i | 0.495864 | + | 0.0747394i | ||||
\(761\) | 1.38296e6 | + | 1.84543e7i | 0.0865660 | + | 1.15514i | 0.856195 | + | 0.516652i | \(0.172822\pi\) |
−0.769629 | + | 0.638491i | \(0.779559\pi\) | |||||||
\(762\) | −7.40554e6 | − | 1.88690e7i | −0.462029 | − | 1.17723i | ||||
\(763\) | −5.92622e6 | + | 2.59645e7i | −0.368524 | + | 1.61461i | ||||
\(764\) | 3.50839e6 | − | 4.68162e7i | 0.217458 | − | 2.90177i | ||||
\(765\) | 1.20627e6 | − | 372086.i | 0.0745232 | − | 0.0229874i | ||||
\(766\) | −1.48084e7 | − | 7.13137e6i | −0.911879 | − | 0.439138i | ||||
\(767\) | −3.44641e6 | − | 5.96936e6i | −0.211533 | − | 0.366386i | ||||
\(768\) | 8.45536e6 | − | 1.46451e7i | 0.517284 | − | 0.895962i | ||||
\(769\) | −6.47627e6 | + | 4.41545e6i | −0.394920 | + | 0.269252i | −0.744457 | − | 0.667671i | \(-0.767291\pi\) |
0.349537 | + | 0.936923i | \(0.386339\pi\) | |||||||
\(770\) | 2.32351e6 | + | 1.01800e7i | 0.141227 | + | 0.618755i | ||||
\(771\) | −2.16142e7 | + | 3.25782e6i | −1.30950 | + | 0.197375i | ||||
\(772\) | 2.25585e7 | − | 2.82874e7i | 1.36228 | − | 1.70824i | ||||
\(773\) | 1.97415e6 | 0.118832 | 0.0594159 | − | 0.998233i | \(-0.481076\pi\) | ||||
0.0594159 | + | 0.998233i | \(0.481076\pi\) | |||||||
\(774\) | 5.10712e6 | + | 9.53245e6i | 0.306425 | + | 0.571942i | ||||
\(775\) | 4.08380e6 | 0.244236 | ||||||||
\(776\) | −1.51698e7 | + | 1.90223e7i | −0.904325 | + | 1.13399i | ||||
\(777\) | 1.88012e6 | − | 283383.i | 0.111721 | − | 0.0168392i | ||||
\(778\) | −763168. | − | 3.34366e6i | −0.0452034 | − | 0.198049i | ||||
\(779\) | 70836.6 | − | 48295.6i | 0.00418229 | − | 0.00285144i | ||||
\(780\) | −1.98839e7 | + | 3.44399e7i | −1.17021 | + | 2.02687i | ||||
\(781\) | −3.87203e6 | − | 6.70655e6i | −0.227149 | − | 0.393434i | ||||
\(782\) | −7.35676e6 | − | 3.54283e6i | −0.430199 | − | 0.207173i | ||||
\(783\) | −2.06947e7 | + | 6.38346e6i | −1.20630 | + | 0.372093i | ||||
\(784\) | −51175.5 | + | 682890.i | −0.00297353 | + | 0.0396790i | ||||
\(785\) | −2.84745e6 | + | 1.24755e7i | −0.164923 | + | 0.722577i | ||||
\(786\) | −7.37627e6 | − | 1.87944e7i | −0.425873 | − | 1.08511i | ||||
\(787\) | 18085.4 | + | 241332.i | 0.00104086 | + | 0.0138892i | 0.997700 | − | 0.0677837i | \(-0.0215928\pi\) |
−0.996659 | + | 0.0816729i | \(0.973974\pi\) | |||||||
\(788\) | 1.77600e7 | + | 2.67689e6i | 1.01889 | + | 0.153573i | ||||
\(789\) | −3.84208e6 | + | 3.56493e6i | −0.219722 | + | 0.203872i | ||||
\(790\) | −2.10147e7 | + | 1.01201e7i | −1.19800 | + | 0.576924i | ||||
\(791\) | 972841. | + | 663272.i | 0.0552841 | + | 0.0376921i | ||||
\(792\) | −1.04552e6 | + | 2.66394e6i | −0.0592268 | + | 0.150908i | ||||
\(793\) | 2.93969e7 | + | 9.06775e6i | 1.66004 | + | 0.512055i | ||||
\(794\) | 3.87520e6 | + | 3.59566e6i | 0.218144 | + | 0.202408i | ||||
\(795\) | 2.17890e6 | + | 2.73225e6i | 0.122270 | + | 0.153321i | ||||
\(796\) | 9.09737e6 | + | 1.14077e7i | 0.508901 | + | 0.638142i | ||||
\(797\) | −9.20627e6 | − | 8.54217e6i | −0.513379 | − | 0.476346i | 0.380420 | − | 0.924814i | \(-0.375779\pi\) |
−0.893799 | + | 0.448468i | \(0.851970\pi\) | |||||||
\(798\) | 7.02126e6 | + | 2.16577e6i | 0.390308 | + | 0.120394i | ||||
\(799\) | −1.94149e6 | + | 4.94683e6i | −0.107589 | + | 0.274132i | ||||
\(800\) | −5.74790e6 | − | 3.91885e6i | −0.317530 | − | 0.216488i | ||||
\(801\) | −1.11731e7 | + | 5.38070e6i | −0.615309 | + | 0.296317i | ||||
\(802\) | 8.20054e6 | − | 7.60899e6i | 0.450201 | − | 0.417725i | ||||
\(803\) | 1.16293e7 | + | 1.75284e6i | 0.636452 | + | 0.0959297i | ||||
\(804\) | −1.61000e6 | − | 2.14839e7i | −0.0878386 | − | 1.17212i | ||||
\(805\) | −1.31275e7 | − | 3.34483e7i | −0.713990 | − | 1.81922i | ||||
\(806\) | 5.03458e6 | − | 2.20580e7i | 0.272977 | − | 1.19599i | ||||
\(807\) | −649638. | + | 8.66882e6i | −0.0351146 | + | 0.468572i | ||||
\(808\) | −2.58886e7 | + | 7.98557e6i | −1.39502 | + | 0.430306i | ||||
\(809\) | −1.84455e6 | − | 888291.i | −0.0990878 | − | 0.0477182i | 0.383683 | − | 0.923465i | \(-0.374655\pi\) |
−0.482771 | + | 0.875747i | \(0.660370\pi\) | |||||||
\(810\) | −8.41697e6 | − | 1.45786e7i | −0.450758 | − | 0.780736i | ||||
\(811\) | 3.34811e6 | − | 5.79909e6i | 0.178750 | − | 0.309605i | −0.762702 | − | 0.646750i | \(-0.776128\pi\) |
0.941453 | + | 0.337145i | \(0.109461\pi\) | |||||||
\(812\) | 2.79977e7 | − | 1.90885e7i | 1.49016 | − | 1.01597i | ||||
\(813\) | −1.45853e6 | − | 6.39025e6i | −0.0773909 | − | 0.339072i | ||||
\(814\) | 1.73051e6 | − | 260833.i | 0.0915407 | − | 0.0137975i | ||||
\(815\) | −6.66579e6 | + | 8.35864e6i | −0.351526 | + | 0.440800i | ||||
\(816\) | 532230. | 0.0279817 | ||||||||
\(817\) | 5.66460e6 | − | 3.60409e6i | 0.296903 | − | 0.188903i | ||||
\(818\) | −1.22426e7 | −0.639721 | ||||||||
\(819\) | 6.17147e6 | − | 7.73878e6i | 0.321498 | − | 0.403146i | ||||
\(820\) | 569465. | − | 85833.0i | 0.0295755 | − | 0.00445779i | ||||
\(821\) | 949940. | + | 4.16196e6i | 0.0491856 | + | 0.215496i | 0.993548 | − | 0.113410i | \(-0.0361772\pi\) |
−0.944363 | + | 0.328906i | \(0.893320\pi\) | |||||||
\(822\) | −3.23003e6 | + | 2.20219e6i | −0.166735 | + | 0.113678i | ||||
\(823\) | 6.21782e6 | − | 1.07696e7i | 0.319992 | − | 0.554242i | −0.660494 | − | 0.750831i | \(-0.729653\pi\) |
0.980486 | + | 0.196589i | \(0.0629866\pi\) | |||||||
\(824\) | 1.15467e7 | + | 1.99995e7i | 0.592435 | + | 1.02613i | ||||
\(825\) | −2.27917e6 | − | 1.09759e6i | −0.116585 | − | 0.0561442i | ||||
\(826\) | −8.17473e6 | + | 2.52157e6i | −0.416892 | + | 0.128594i | ||||
\(827\) | −229092. | + | 3.05702e6i | −0.0116479 | + | 0.155430i | 0.988347 | + | 0.152218i | \(0.0486415\pi\) |
−0.999995 | + | 0.00321223i | \(0.998978\pi\) | |||||||
\(828\) | 5.26643e6 | − | 2.30737e7i | 0.266956 | − | 1.16961i | ||||
\(829\) | −98663.8 | − | 251391.i | −0.00498622 | − | 0.0127047i | 0.928359 | − | 0.371685i | \(-0.121220\pi\) |
−0.933345 | + | 0.358980i | \(0.883125\pi\) | |||||||
\(830\) | −1.64436e6 | − | 2.19425e7i | −0.0828519 | − | 1.10558i | ||||
\(831\) | −2.71243e6 | − | 408834.i | −0.136256 | − | 0.0205373i | ||||
\(832\) | −3.29184e7 | + | 3.05438e7i | −1.64866 | + | 1.52973i | ||||
\(833\) | 531002. | − | 255717.i | 0.0265145 | − | 0.0127687i | ||||
\(834\) | 1.44716e7 | + | 9.86660e6i | 0.720448 | + | 0.491193i | ||||
\(835\) | 6.18857e6 | − | 1.57682e7i | 0.307166 | − | 0.782647i | ||||
\(836\) | 4.08016e6 | + | 1.25856e6i | 0.201911 | + | 0.0622814i | ||||
\(837\) | 8.30596e6 | + | 7.70681e6i | 0.409804 | + | 0.380243i | ||||
\(838\) | −2.64783e7 | − | 3.32027e7i | −1.30251 | − | 1.63329i | ||||
\(839\) | 1.03692e7 | + | 1.30025e7i | 0.508556 | + | 0.637709i | 0.968135 | − | 0.250428i | \(-0.0805712\pi\) |
−0.459579 | + | 0.888137i | \(0.652000\pi\) | |||||||
\(840\) | 1.50548e7 | + | 1.39688e7i | 0.736169 | + | 0.683065i | ||||
\(841\) | 6.92367e6 | + | 2.13567e6i | 0.337556 | + | 0.104122i | ||||
\(842\) | −1.14192e7 | + | 2.90957e7i | −0.555081 | + | 1.41432i | ||||
\(843\) | 1.12787e7 | + | 7.68970e6i | 0.546627 | + | 0.372684i | ||||
\(844\) | −3.52079e7 | + | 1.69552e7i | −1.70131 | + | 0.819309i | ||||
\(845\) | 2.01440e7 | − | 1.86909e7i | 0.970517 | − | 0.900508i | ||||
\(846\) | −2.41243e7 | − | 3.63615e6i | −1.15885 | − | 0.174669i | ||||
\(847\) | −1.23885e6 | − | 1.65313e7i | −0.0593349 | − | 0.791769i | ||||
\(848\) | −349927. | − | 891599.i | −0.0167104 | − | 0.0425775i | ||||
\(849\) | 4.53456e6 | − | 1.98672e7i | 0.215907 | − | 0.945948i | ||||
\(850\) | 200409. | − | 2.67427e6i | 0.00951415 | − | 0.126957i | ||||
\(851\) | −5.75476e6 | + | 1.77511e6i | −0.272398 | + | 0.0840235i | ||||
\(852\) | −3.29798e7 | − | 1.58823e7i | −1.55650 | − | 0.749572i | ||||
\(853\) | −1.75699e7 | − | 3.04319e7i | −0.826792 | − | 1.43205i | −0.900542 | − | 0.434769i | \(-0.856830\pi\) |
0.0737497 | − | 0.997277i | \(-0.476503\pi\) | |||||||
\(854\) | 1.90906e7 | − | 3.30660e7i | 0.895727 | − | 1.55145i | ||||
\(855\) | 2.97277e6 | − | 2.02680e6i | 0.139074 | − | 0.0948190i | ||||
\(856\) | 7.20684e6 | + | 3.15752e7i | 0.336171 | + | 1.47286i | ||||
\(857\) | 2.62274e7 | − | 3.95315e6i | 1.21984 | − | 0.183862i | 0.492608 | − | 0.870251i | \(-0.336044\pi\) |
0.727234 | + | 0.686390i | \(0.240805\pi\) | |||||||
\(858\) | −8.73825e6 | + | 1.09574e7i | −0.405234 | + | 0.508148i | ||||
\(859\) | −1.00651e7 | −0.465409 | −0.232705 | − | 0.972547i | \(-0.574758\pi\) | ||||
−0.232705 | + | 0.972547i | \(0.574758\pi\) | |||||||
\(860\) | 4.47866e7 | − | 5.30254e6i | 2.06491 | − | 0.244477i | ||||
\(861\) | 220506. | 0.0101371 | ||||||||
\(862\) | 4.09543e7 | − | 5.13551e7i | 1.87729 | − | 2.35405i | ||||
\(863\) | 2.32883e7 | − | 3.51015e6i | 1.06442 | − | 0.160435i | 0.406594 | − | 0.913609i | \(-0.366716\pi\) |
0.657821 | + | 0.753174i | \(0.271478\pi\) | |||||||
\(864\) | −4.29503e6 | − | 1.88178e7i | −0.195741 | − | 0.857597i | ||||
\(865\) | −2.36014e7 | + | 1.60912e7i | −1.07250 | + | 0.731219i | ||||
\(866\) | 6.18021e6 | − | 1.07044e7i | 0.280033 | − | 0.485031i | ||||
\(867\) | 8.38622e6 | + | 1.45254e7i | 0.378895 | + | 0.656265i | ||||
\(868\) | −1.59730e7 | − | 7.69221e6i | −0.719595 | − | 0.346539i | ||||
\(869\) | −4.95922e6 | + | 1.52972e6i | −0.222774 | + | 0.0687166i | ||||
\(870\) | −3.02128e6 | + | 4.03162e7i | −0.135330 | + | 1.80585i | ||||
\(871\) | −6.35060e6 | + | 2.78238e7i | −0.283641 | + | 1.24271i | ||||
\(872\) | 1.76142e7 | + | 4.48802e7i | 0.784461 | + | 1.99878i | ||||
\(873\) | 819269. | + | 1.09324e7i | 0.0363824 | + | 0.485489i | ||||
\(874\) | −2.30130e7 | − | 3.46865e6i | −1.01905 | − | 0.153597i | ||||
\(875\) | −9.59618e6 | + | 8.90395e6i | −0.423719 | + | 0.393154i | ||||
\(876\) | 5.00856e7 | − | 2.41199e7i | 2.20522 | − | 1.06198i | ||||
\(877\) | 3.34449e7 | + | 2.28023e7i | 1.46835 | + | 1.00111i | 0.992587 | + | 0.121536i | \(0.0387819\pi\) |
0.475767 | + | 0.879571i | \(0.342171\pi\) | |||||||
\(878\) | 2.86507e6 | − | 7.30008e6i | 0.125429 | − | 0.319589i | ||||
\(879\) | 986971. | + | 304440.i | 0.0430856 | + | 0.0132901i | ||||
\(880\) | 1.58027e6 | + | 1.46627e6i | 0.0687897 | + | 0.0638275i | ||||
\(881\) | 9.21133e6 | + | 1.15506e7i | 0.399836 | + | 0.501379i | 0.940469 | − | 0.339880i | \(-0.110386\pi\) |
−0.540632 | + | 0.841259i | \(0.681815\pi\) | |||||||
\(882\) | 1.68699e6 | + | 2.11542e6i | 0.0730199 | + | 0.0915640i | ||||
\(883\) | −2.53500e7 | − | 2.35214e7i | −1.09415 | − | 1.01522i | −0.999806 | − | 0.0196819i | \(-0.993735\pi\) |
−0.0943425 | − | 0.995540i | \(-0.530075\pi\) | |||||||
\(884\) | −8.96368e6 | − | 2.76493e6i | −0.385794 | − | 0.119002i | ||||
\(885\) | 2.35428e6 | − | 5.99862e6i | 0.101042 | − | 0.257450i | ||||
\(886\) | 3.60297e7 | + | 2.45646e7i | 1.54197 | + | 1.05130i | ||||
\(887\) | −1.61635e7 | + | 7.78394e6i | −0.689806 | + | 0.332193i | −0.745736 | − | 0.666242i | \(-0.767902\pi\) |
0.0559298 | + | 0.998435i | \(0.482188\pi\) | |||||||
\(888\) | 2.52323e6 | − | 2.34121e6i | 0.107380 | − | 0.0996341i | ||||
\(889\) | 2.08055e7 | + | 3.13593e6i | 0.882925 | + | 0.133080i | ||||
\(890\) | 6.12151e6 | + | 8.16859e7i | 0.259050 | + | 3.45678i | ||||
\(891\) | −1.36842e6 | − | 3.48669e6i | −0.0577466 | − | 0.147136i | ||||
\(892\) | 1.50082e7 | − | 6.57554e7i | 0.631564 | − | 2.76706i | ||||
\(893\) | −1.13189e6 | + | 1.51041e7i | −0.0474982 | + | 0.633819i | ||||
\(894\) | 3.47091e7 | − | 1.07063e7i | 1.45244 | − | 0.448019i | ||||
\(895\) | −4.03079e7 | − | 1.94113e7i | −1.68203 | − | 0.810021i | ||||
\(896\) | 1.90497e7 | + | 3.29950e7i | 0.792717 | + | 1.37303i | ||||
\(897\) | 2.41143e7 | − | 4.17673e7i | 1.00068 | − | 1.73322i | ||||
\(898\) | −4.28556e7 | + | 2.92185e7i | −1.77344 | + | 1.20911i | ||||
\(899\) | −3.23147e6 | − | 1.41580e7i | −0.133352 | − | 0.584255i | ||||
\(900\) | 7.68621e6 | − | 1.15851e6i | 0.316305 | − | 0.0476753i | ||||
\(901\) | −513959. | + | 644484.i | −0.0210919 | + | 0.0264484i | ||||
\(902\) | 202959. | 0.00830602 | ||||||||
\(903\) | 1.72594e7 | + | 548216.i | 0.704380 | + | 0.0223734i | ||||
\(904\) | 2.13154e6 | 0.0867506 | ||||||||
\(905\) | 4.50051e6 | − | 5.64347e6i | 0.182659 | − | 0.229047i | ||||
\(906\) | 2.02701e7 | − | 3.05523e6i | 0.820419 | − | 0.123658i | ||||
\(907\) | −7.87520e6 | − | 3.45035e7i | −0.317866 | − | 1.39266i | −0.841288 | − | 0.540587i | \(-0.818202\pi\) |
0.523423 | − | 0.852073i | \(-0.324655\pi\) | |||||||
\(908\) | 3.84127e6 | − | 2.61893e6i | 0.154618 | − | 0.105417i | ||||
\(909\) | −6.10374e6 | + | 1.05720e7i | −0.245011 | + | 0.424372i | ||||
\(910\) | −3.26909e7 | − | 5.66223e7i | −1.30865 | − | 2.26665i | ||||
\(911\) | 5.84824e6 | + | 2.81636e6i | 0.233469 | + | 0.112433i | 0.546961 | − | 0.837158i | \(-0.315785\pi\) |
−0.313492 | + | 0.949591i | \(0.601499\pi\) | |||||||
\(912\) | 1.44956e6 | − | 447131.i | 0.0577099 | − | 0.0178011i | ||||
\(913\) | 365876. | − | 4.88228e6i | 0.0145264 | − | 0.193841i | ||||
\(914\) | 8.29986e6 | − | 3.63641e7i | 0.328628 | − | 1.43982i | ||||
\(915\) | 1.05075e7 | + | 2.67727e7i | 0.414904 | + | 1.05716i | ||||
\(916\) | 4.92428e6 | + | 6.57099e7i | 0.193912 | + | 2.58757i | ||||
\(917\) | 2.07233e7 | + | 3.12353e6i | 0.813833 | + | 0.122666i | ||||
\(918\) | 5.45441e6 | − | 5.06095e6i | 0.213620 | − | 0.198210i | ||||
\(919\) | −2.76191e7 | + | 1.33007e7i | −1.07875 | + | 0.519498i | −0.886917 | − | 0.461929i | \(-0.847157\pi\) |
−0.191833 | + | 0.981428i | \(0.561443\pi\) | |||||||
\(920\) | −5.37460e7 | − | 3.66434e7i | −2.09352 | − | 1.42734i | ||||
\(921\) | −9.66534e6 | + | 2.46269e7i | −0.375464 | + | 0.956666i | ||||
\(922\) | −1.98879e7 | − | 6.13460e6i | −0.770480 | − | 0.237662i | ||||
\(923\) | 3.55457e7 | + | 3.29816e7i | 1.37335 | + | 1.27429i | ||||
\(924\) | 6.84714e6 | + | 8.58605e6i | 0.263833 | + | 0.330836i | ||||
\(925\) | −1.23321e6 | − | 1.54640e6i | −0.0473896 | − | 0.0594247i | ||||
\(926\) | −2.64724e7 | − | 2.45628e7i | −1.01453 | − | 0.941349i | ||||
\(927\) | 9.94338e6 | + | 3.06713e6i | 0.380045 | + | 0.117228i | ||||
\(928\) | −9.03790e6 | + | 2.30282e7i | −0.344507 | + | 0.877788i | ||||
\(929\) | −3.85952e7 | − | 2.63138e7i | −1.46722 | − | 1.00033i | −0.992768 | − | 0.120048i | \(-0.961695\pi\) |
−0.474449 | − | 0.880283i | \(-0.657353\pi\) | |||||||
\(930\) | 1.90575e7 | − | 9.17761e6i | 0.722534 | − | 0.347954i | ||||
\(931\) | 1.23139e6 | − | 1.14256e6i | 0.0465609 | − | 0.0432022i | ||||
\(932\) | −8.55384e7 | − | 1.28928e7i | −3.22568 | − | 0.486193i | ||||
\(933\) | −1.56505e6 | − | 2.08841e7i | −0.0588604 | − | 0.785437i | ||||
\(934\) | 1.02929e7 | + | 2.62259e7i | 0.386074 | + | 0.983701i | ||||
\(935\) | 412845. | − | 1.80879e6i | 0.0154439 | − | 0.0676642i | ||||
\(936\) | 1.33910e6 | − | 1.78690e7i | 0.0499600 | − | 0.666670i | ||||
\(937\) | 2.16998e7 | − | 6.69349e6i | 0.807432 | − | 0.249060i | 0.136559 | − | 0.990632i | \(-0.456396\pi\) |
0.670873 | + | 0.741572i | \(0.265920\pi\) | |||||||
\(938\) | 3.19129e7 | + | 1.53684e7i | 1.18429 | + | 0.570325i | ||||
\(939\) | −1.72757e7 | − | 2.99224e7i | −0.639399 | − | 1.10747i | ||||
\(940\) | −5.08713e7 | + | 8.81117e7i | −1.87782 | + | 3.25247i | ||||
\(941\) | 2.13554e7 | − | 1.45599e7i | 0.786201 | − | 0.536023i | −0.102379 | − | 0.994746i | \(-0.532645\pi\) |
0.888579 | + | 0.458723i | \(0.151693\pi\) | |||||||
\(942\) | 4.74341e6 | + | 2.07823e7i | 0.174166 | + | 0.763072i | ||||
\(943\) | −690623. | + | 104095.i | −0.0252908 | + | 0.00381197i | ||||
\(944\) | −1.10119e6 | + | 1.38085e6i | −0.0402190 | + | 0.0504330i | ||||
\(945\) | 3.27431e7 | 1.19272 | ||||||||
\(946\) | 1.58861e7 | + | 504593.i | 0.577149 | + | 0.0183322i | ||||
\(947\) | −1.52100e7 | −0.551130 | −0.275565 | − | 0.961282i | \(-0.588865\pi\) | ||||
−0.275565 | + | 0.961282i | \(0.588865\pi\) | |||||||
\(948\) | −1.52950e7 | + | 1.91793e7i | −0.552750 | + | 0.693126i | ||||
\(949\) | −7.28179e7 | + | 1.09755e7i | −2.62466 | + | 0.395603i | ||||
\(950\) | −1.70085e6 | − | 7.45192e6i | −0.0611445 | − | 0.267892i | ||||
\(951\) | 1.83029e7 | − | 1.24787e7i | 0.656247 | − | 0.447422i | ||||
\(952\) | −2.42216e6 | + | 4.19530e6i | −0.0866184 | + | 0.150028i | ||||
\(953\) | −8.57378e6 | − | 1.48502e7i | −0.305802 | − | 0.529664i | 0.671638 | − | 0.740880i | \(-0.265591\pi\) |
−0.977440 | + | 0.211215i | \(0.932258\pi\) | |||||||
\(954\) | −3.40962e6 | − | 1.64198e6i | −0.121293 | − | 0.0584115i | ||||
\(955\) | −5.55589e7 | + | 1.71376e7i | −1.97126 | + | 0.608054i | ||||
\(956\) | −339185. | + | 4.52611e6i | −0.0120031 | + | 0.160170i | ||||
\(957\) | −2.00172e6 | + | 8.77009e6i | −0.0706517 | + | 0.309545i | ||||
\(958\) | 2.00165e7 | + | 5.10012e7i | 0.704652 | + | 1.79542i | ||||
\(959\) | −303245. | − | 4.04653e6i | −0.0106475 | − | 0.142081i | ||||
\(960\) | −4.15136e7 | − | 6.25716e6i | −1.45382 | − | 0.219129i | ||||
\(961\) | 1.54170e7 | − | 1.43049e7i | 0.538509 | − | 0.499663i | ||||
\(962\) | −9.87295e6 | + | 4.75456e6i | −0.343961 | + | 0.165643i | ||||
\(963\) | 1.20576e7 | + | 8.22074e6i | 0.418982 | + | 0.285657i | ||||
\(964\) | 1.08663e7 | − | 2.76868e7i | 0.376607 | − | 0.959579i | ||||
\(965\) | −4.28174e7 | − | 1.32074e7i | −1.48014 | − | 0.456562i | ||||
\(966\) | −4.38786e7 | − | 4.07134e7i | −1.51290 | − | 1.40376i | ||||
\(967\) | 3.13725e7 | + | 3.93399e7i | 1.07891 | + | 1.35291i | 0.931464 | + | 0.363835i | \(0.118533\pi\) |
0.147442 | + | 0.989071i | \(0.452896\pi\) | |||||||
\(968\) | −1.87116e7 | − | 2.34636e7i | −0.641833 | − | 0.804833i | ||||
\(969\) | −957036. | − | 887999.i | −0.0327430 | − | 0.0303811i | ||||
\(970\) | 6.91979e7 | + | 2.13447e7i | 2.36137 | + | 0.728385i | ||||
\(971\) | 5.13392e6 | − | 1.30810e7i | 0.174743 | − | 0.445239i | −0.816490 | − | 0.577359i | \(-0.804083\pi\) |
0.991234 | + | 0.132120i | \(0.0421785\pi\) | |||||||
\(972\) | 3.06023e7 | + | 2.08643e7i | 1.03893 | + | 0.708333i | ||||
\(973\) | −1.63802e7 | + | 7.88831e6i | −0.554675 | + | 0.267117i | ||||
\(974\) | 4.84835e6 | − | 4.49861e6i | 0.163756 | − | 0.151943i | ||||
\(975\) | 1.56629e7 | + | 2.36080e6i | 0.527668 | + | 0.0795332i | ||||
\(976\) | −589072. | − | 7.86062e6i | −0.0197945 | − | 0.264139i | ||||
\(977\) | 1.09078e6 | + | 2.77927e6i | 0.0365596 | + | 0.0931524i | 0.947988 | − | 0.318307i | \(-0.103114\pi\) |
−0.911428 | + | 0.411460i | \(0.865019\pi\) | |||||||
\(978\) | −3.96304e6 | + | 1.73632e7i | −0.132489 | + | 0.580474i | ||||
\(979\) | −1.36206e6 | + | 1.81754e7i | −0.0454191 | + | 0.606075i | ||||
\(980\) | 1.07824e7 | − | 3.32594e6i | 0.358634 | − | 0.110624i | ||||
\(981\) | 1.95729e7 | + | 9.42582e6i | 0.649356 | + | 0.312713i | ||||
\(982\) | −4.21415e6 | − | 7.29913e6i | −0.139454 | − | 0.241542i | ||||
\(983\) | 1.75050e6 | − | 3.03196e6i | 0.0577802 | − | 0.100078i | −0.835688 | − | 0.549204i | \(-0.814931\pi\) |
0.893469 | + | 0.449126i | \(0.148264\pi\) | |||||||
\(984\) | 329824. | − | 224870.i | 0.0108591 | − | 0.00740363i | ||||
\(985\) | −4.94959e6 | − | 2.16856e7i | −0.162547 | − | 0.712165i | ||||
\(986\) | −9.42993e6 | + | 1.42133e6i | −0.308899 | + | 0.0465590i | ||||
\(987\) | −2.42888e7 | + | 3.04572e7i | −0.793622 | + | 0.995171i | ||||
\(988\) | −2.67360e7 | −0.871374 | ||||||||
\(989\) | −5.43153e7 | + | 6.43070e6i | −1.76576 | + | 0.209058i | ||||
\(990\) | 8.51750e6 | 0.276200 | ||||||||
\(991\) | 1.14206e7 | − | 1.43209e7i | 0.369405 | − | 0.463219i | −0.562035 | − | 0.827113i | \(-0.689981\pi\) |
0.931440 | + | 0.363894i | \(0.118553\pi\) | |||||||
\(992\) | 1.27983e7 | − | 1.92903e6i | 0.412926 | − | 0.0622386i | ||||
\(993\) | 1.98188e6 | + | 8.68317e6i | 0.0637828 | + | 0.279451i | ||||
\(994\) | 4.97245e7 | − | 3.39016e7i | 1.59626 | − | 1.08831i | ||||
\(995\) | 9.03511e6 | − | 1.56493e7i | 0.289318 | − | 0.501114i | ||||
\(996\) | −1.15712e7 | − | 2.00419e7i | −0.369599 | − | 0.640164i | ||||
\(997\) | 3.39996e7 | + | 1.63733e7i | 1.08327 | + | 0.521674i | 0.888360 | − | 0.459147i | \(-0.151845\pi\) |
0.194908 | + | 0.980822i | \(0.437559\pi\) | |||||||
\(998\) | 2.40540e7 | − | 7.41969e6i | 0.764472 | − | 0.235808i | ||||
\(999\) | 410105. | − | 5.47247e6i | 0.0130011 | − | 0.173488i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 43.6.g.a.24.16 | yes | 204 | |
43.9 | even | 21 | inner | 43.6.g.a.9.16 | ✓ | 204 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
43.6.g.a.9.16 | ✓ | 204 | 43.9 | even | 21 | inner | |
43.6.g.a.24.16 | yes | 204 | 1.1 | even | 1 | trivial |