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 | 24.6 | ||
Character | \(\chi\) | \(=\) | 43.24 |
Dual form | 43.6.g.a.9.6 |
$q$-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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.33890 | + | 2.93289i | −0.413463 | + | 0.518466i | −0.944335 | − | 0.328986i | \(-0.893293\pi\) |
0.530872 | + | 0.847452i | \(0.321865\pi\) | |||||||
\(3\) | 28.6156 | − | 4.31311i | 1.83569 | − | 0.276686i | 0.862395 | − | 0.506236i | \(-0.168964\pi\) |
0.973297 | + | 0.229550i | \(0.0737254\pi\) | |||||||
\(4\) | 3.98929 | + | 17.4782i | 0.124665 | + | 0.546195i | ||||
\(5\) | −77.5461 | + | 52.8700i | −1.38719 | + | 0.945768i | −0.387472 | + | 0.921881i | \(0.626652\pi\) |
−0.999715 | + | 0.0238867i | \(0.992396\pi\) | |||||||
\(6\) | −54.2792 | + | 94.0143i | −0.615538 | + | 1.06614i | ||||
\(7\) | 35.5619 | + | 61.5951i | 0.274309 | + | 0.475117i | 0.969961 | − | 0.243262i | \(-0.0782175\pi\) |
−0.695651 | + | 0.718379i | \(0.744884\pi\) | |||||||
\(8\) | −168.746 | − | 81.2638i | −0.932199 | − | 0.448923i | ||||
\(9\) | 568.046 | − | 175.219i | 2.33764 | − | 0.721065i | ||||
\(10\) | 26.3107 | − | 351.092i | 0.0832017 | − | 1.11025i | ||||
\(11\) | −113.232 | + | 496.104i | −0.282156 | + | 1.23621i | 0.612867 | + | 0.790186i | \(0.290016\pi\) |
−0.895023 | + | 0.446020i | \(0.852841\pi\) | |||||||
\(12\) | 189.542 | + | 482.944i | 0.379972 | + | 0.968153i | ||||
\(13\) | −55.2426 | − | 737.161i | −0.0906599 | − | 1.20977i | −0.838127 | − | 0.545475i | \(-0.816349\pi\) |
0.747467 | − | 0.664298i | \(-0.231270\pi\) | |||||||
\(14\) | −263.827 | − | 39.7655i | −0.359749 | − | 0.0542234i | ||||
\(15\) | −1990.99 | + | 1847.37i | −2.28477 | + | 2.11995i | ||||
\(16\) | 116.143 | − | 55.9317i | 0.113421 | − | 0.0546208i | ||||
\(17\) | 1081.85 | + | 737.593i | 0.907914 | + | 0.619005i | 0.924635 | − | 0.380855i | \(-0.124370\pi\) |
−0.0167210 | + | 0.999860i | \(0.505323\pi\) | |||||||
\(18\) | −814.704 | + | 2075.83i | −0.592678 | + | 1.51012i | ||||
\(19\) | 432.455 | + | 133.395i | 0.274825 | + | 0.0847724i | 0.429104 | − | 0.903255i | \(-0.358829\pi\) |
−0.154279 | + | 0.988027i | \(0.549305\pi\) | |||||||
\(20\) | −1233.43 | − | 1144.46i | −0.689508 | − | 0.639770i | ||||
\(21\) | 1283.29 | + | 1609.20i | 0.635005 | + | 0.796271i | ||||
\(22\) | −1190.18 | − | 1492.44i | −0.524270 | − | 0.657414i | ||||
\(23\) | 1345.53 | + | 1248.47i | 0.530362 | + | 0.492104i | 0.899289 | − | 0.437354i | \(-0.144084\pi\) |
−0.368927 | + | 0.929458i | \(0.620275\pi\) | |||||||
\(24\) | −5179.27 | − | 1597.59i | −1.83544 | − | 0.566159i | ||||
\(25\) | 2076.47 | − | 5290.75i | 0.664469 | − | 1.69304i | ||||
\(26\) | 2291.22 | + | 1562.12i | 0.664711 | + | 0.453192i | ||||
\(27\) | 9163.50 | − | 4412.91i | 2.41909 | − | 1.16497i | ||||
\(28\) | −934.706 | + | 867.281i | −0.225310 | + | 0.209057i | ||||
\(29\) | 2316.92 | + | 349.219i | 0.511582 | + | 0.0771086i | 0.399761 | − | 0.916620i | \(-0.369093\pi\) |
0.111822 | + | 0.993728i | \(0.464331\pi\) | |||||||
\(30\) | −761.400 | − | 10160.2i | −0.154458 | − | 2.06110i | ||||
\(31\) | −941.518 | − | 2398.95i | −0.175964 | − | 0.448349i | 0.815495 | − | 0.578763i | \(-0.196465\pi\) |
−0.991460 | + | 0.130414i | \(0.958369\pi\) | |||||||
\(32\) | 1226.05 | − | 5371.69i | 0.211658 | − | 0.927333i | ||||
\(33\) | −1100.47 | + | 14684.7i | −0.175910 | + | 2.34736i | ||||
\(34\) | −4693.61 | + | 1447.79i | −0.696322 | + | 0.214787i | ||||
\(35\) | −6014.22 | − | 2896.30i | −0.829869 | − | 0.399644i | ||||
\(36\) | 5328.62 | + | 9229.44i | 0.685265 | + | 1.18691i | ||||
\(37\) | 1233.33 | − | 2136.19i | 0.148107 | − | 0.256529i | −0.782421 | − | 0.622750i | \(-0.786015\pi\) |
0.930528 | + | 0.366221i | \(0.119349\pi\) | |||||||
\(38\) | −1402.70 | + | 956.344i | −0.157582 | + | 0.107437i | ||||
\(39\) | −4760.25 | − | 20856.0i | −0.501151 | − | 2.19569i | ||||
\(40\) | 17382.0 | − | 2619.92i | 1.71771 | − | 0.258903i | ||||
\(41\) | −3620.71 | + | 4540.22i | −0.336383 | + | 0.421811i | −0.921039 | − | 0.389471i | \(-0.872658\pi\) |
0.584656 | + | 0.811281i | \(0.301229\pi\) | |||||||
\(42\) | −7721.09 | −0.675391 | ||||||||
\(43\) | 11876.7 | − | 2439.92i | 0.979543 | − | 0.201236i | ||||
\(44\) | −9122.74 | −0.710385 | ||||||||
\(45\) | −34785.9 | + | 43620.1i | −2.56078 | + | 3.21111i | ||||
\(46\) | −6808.66 | + | 1026.24i | −0.474424 | + | 0.0715080i | ||||
\(47\) | −2629.85 | − | 11522.1i | −0.173655 | − | 0.760832i | −0.984473 | − | 0.175534i | \(-0.943835\pi\) |
0.810819 | − | 0.585298i | \(-0.199022\pi\) | |||||||
\(48\) | 3082.27 | − | 2101.46i | 0.193094 | − | 0.131649i | ||||
\(49\) | 5874.20 | − | 10174.4i | 0.349509 | − | 0.605367i | ||||
\(50\) | 10660.5 | + | 18464.6i | 0.603051 | + | 1.04451i | ||||
\(51\) | 34139.1 | + | 16440.5i | 1.83792 | + | 0.885096i | ||||
\(52\) | 12663.9 | − | 3906.29i | 0.649470 | − | 0.200335i | ||||
\(53\) | 2016.05 | − | 26902.4i | 0.0985854 | − | 1.31553i | −0.700214 | − | 0.713933i | \(-0.746912\pi\) |
0.798800 | − | 0.601597i | \(-0.205469\pi\) | |||||||
\(54\) | −8489.94 | + | 37196.8i | −0.396205 | + | 1.73589i | ||||
\(55\) | −17448.3 | − | 44457.5i | −0.777761 | − | 1.98170i | ||||
\(56\) | −995.485 | − | 13283.8i | −0.0424194 | − | 0.566048i | ||||
\(57\) | 12950.3 | + | 1951.94i | 0.527950 | + | 0.0795756i | ||||
\(58\) | −6443.26 | + | 5978.47i | −0.251499 | + | 0.233357i | ||||
\(59\) | 8718.45 | − | 4198.58i | 0.326069 | − | 0.157026i | −0.263687 | − | 0.964608i | \(-0.584938\pi\) |
0.589755 | + | 0.807582i | \(0.299224\pi\) | |||||||
\(60\) | −40231.5 | − | 27429.4i | −1.44274 | − | 0.983643i | ||||
\(61\) | −14413.4 | + | 36724.7i | −0.495954 | + | 1.26367i | 0.435625 | + | 0.900128i | \(0.356527\pi\) |
−0.931578 | + | 0.363541i | \(0.881568\pi\) | |||||||
\(62\) | 9237.96 | + | 2849.53i | 0.305209 | + | 0.0941444i | ||||
\(63\) | 30993.4 | + | 28757.7i | 0.983826 | + | 0.912857i | ||||
\(64\) | 15458.9 | + | 19384.8i | 0.471768 | + | 0.591578i | ||||
\(65\) | 43257.6 | + | 54243.3i | 1.26993 | + | 1.59244i | ||||
\(66\) | −40494.7 | − | 37573.6i | −1.14430 | − | 1.06175i | ||||
\(67\) | −26855.3 | − | 8283.77i | −0.730876 | − | 0.225445i | −0.0930885 | − | 0.995658i | \(-0.529674\pi\) |
−0.637787 | + | 0.770213i | \(0.720150\pi\) | |||||||
\(68\) | −8576.00 | + | 21851.3i | −0.224912 | + | 0.573066i | ||||
\(69\) | 43887.8 | + | 29922.2i | 1.10974 | + | 0.756608i | ||||
\(70\) | 22561.2 | − | 10864.9i | 0.550322 | − | 0.265021i | ||||
\(71\) | −40352.8 | + | 37442.0i | −0.950010 | + | 0.881480i | −0.993062 | − | 0.117592i | \(-0.962482\pi\) |
0.0430520 | + | 0.999073i | \(0.486292\pi\) | |||||||
\(72\) | −110094. | − | 16594.1i | −2.50285 | − | 0.377243i | ||||
\(73\) | 185.210 | + | 2471.45i | 0.00406777 | + | 0.0542806i | 0.998868 | − | 0.0475621i | \(-0.0151452\pi\) |
−0.994801 | + | 0.101843i | \(0.967526\pi\) | |||||||
\(74\) | 3380.57 | + | 8613.56i | 0.0717647 | + | 0.182853i | ||||
\(75\) | 36599.8 | − | 160354.i | 0.751320 | − | 3.29175i | ||||
\(76\) | −606.314 | + | 8090.70i | −0.0120410 | + | 0.160676i | ||||
\(77\) | −34584.3 | + | 10667.8i | −0.664741 | + | 0.205045i | ||||
\(78\) | 72302.1 | + | 34818.9i | 1.34560 | + | 0.648005i | ||||
\(79\) | 11530.0 | + | 19970.6i | 0.207856 | + | 0.360017i | 0.951039 | − | 0.309071i | \(-0.100018\pi\) |
−0.743183 | + | 0.669088i | \(0.766685\pi\) | |||||||
\(80\) | −6049.36 | + | 10477.8i | −0.105678 | + | 0.183039i | ||||
\(81\) | 123833. | − | 84428.1i | 2.09713 | − | 1.42980i | ||||
\(82\) | −4847.49 | − | 21238.2i | −0.0796127 | − | 0.348806i | ||||
\(83\) | −72770.7 | + | 10968.4i | −1.15947 | + | 0.174763i | −0.700477 | − | 0.713675i | \(-0.747029\pi\) |
−0.458997 | + | 0.888438i | \(0.651791\pi\) | |||||||
\(84\) | −23006.5 | + | 28849.3i | −0.355756 | + | 0.446104i | ||||
\(85\) | −122890. | −1.84488 | ||||||||
\(86\) | −20622.3 | + | 40539.7i | −0.300671 | + | 0.591063i | ||||
\(87\) | 67806.2 | 0.960443 | ||||||||
\(88\) | 59422.8 | − | 74513.9i | 0.817988 | − | 1.02572i | ||||
\(89\) | 119862. | − | 18066.3i | 1.60401 | − | 0.241766i | 0.714822 | − | 0.699306i | \(-0.246508\pi\) |
0.889189 | + | 0.457540i | \(0.151270\pi\) | |||||||
\(90\) | −46572.2 | − | 204046.i | −0.606067 | − | 2.65535i | ||||
\(91\) | 43440.9 | − | 29617.5i | 0.549915 | − | 0.374926i | ||||
\(92\) | −16453.3 | + | 28497.9i | −0.202667 | + | 0.351030i | ||||
\(93\) | −37289.0 | − | 64586.5i | −0.447068 | − | 0.774344i | ||||
\(94\) | 39944.1 | + | 19236.1i | 0.466265 | + | 0.224541i | ||||
\(95\) | −40587.8 | + | 12519.7i | −0.461409 | + | 0.142326i | ||||
\(96\) | 11915.6 | − | 159002.i | 0.131958 | − | 1.76086i | ||||
\(97\) | 20627.6 | − | 90375.5i | 0.222597 | − | 0.975262i | −0.732917 | − | 0.680318i | \(-0.761842\pi\) |
0.955515 | − | 0.294944i | \(-0.0953010\pi\) | |||||||
\(98\) | 16101.2 | + | 41025.3i | 0.169353 | + | 0.431506i | ||||
\(99\) | 22605.6 | + | 301650.i | 0.231807 | + | 3.09325i | ||||
\(100\) | 100757. | + | 15186.6i | 1.00757 | + | 0.151866i | ||||
\(101\) | −98668.1 | + | 91550.6i | −0.962439 | + | 0.893013i | −0.994315 | − | 0.106479i | \(-0.966042\pi\) |
0.0318761 | + | 0.999492i | \(0.489852\pi\) | |||||||
\(102\) | −128066. | + | 61673.4i | −1.21880 | + | 0.586945i | ||||
\(103\) | −7023.07 | − | 4788.25i | −0.0652280 | − | 0.0444717i | 0.530267 | − | 0.847831i | \(-0.322092\pi\) |
−0.595495 | + | 0.803359i | \(0.703044\pi\) | |||||||
\(104\) | −50582.5 | + | 128882.i | −0.458582 | + | 1.16845i | ||||
\(105\) | −184593. | − | 56939.3i | −1.63396 | − | 0.504010i | ||||
\(106\) | 74186.2 | + | 68834.8i | 0.641296 | + | 0.595036i | ||||
\(107\) | −13554.9 | − | 16997.3i | −0.114455 | − | 0.143522i | 0.721304 | − | 0.692619i | \(-0.243543\pi\) |
−0.835759 | + | 0.549097i | \(0.814972\pi\) | |||||||
\(108\) | 113686. | + | 142557.i | 0.937879 | + | 1.17606i | ||||
\(109\) | 75720.6 | + | 70258.5i | 0.610447 | + | 0.566412i | 0.923632 | − | 0.383280i | \(-0.125206\pi\) |
−0.313185 | + | 0.949692i | \(0.601396\pi\) | |||||||
\(110\) | 171199. | + | 52807.8i | 1.34902 | + | 0.416118i | ||||
\(111\) | 26078.9 | − | 66447.9i | 0.200901 | − | 0.511887i | ||||
\(112\) | 7575.40 | + | 5164.82i | 0.0570638 | + | 0.0389054i | ||||
\(113\) | −73460.3 | + | 35376.6i | −0.541199 | + | 0.260628i | −0.684451 | − | 0.729059i | \(-0.739958\pi\) |
0.143252 | + | 0.989686i | \(0.454244\pi\) | |||||||
\(114\) | −36014.3 | + | 33416.4i | −0.259545 | + | 0.240822i | ||||
\(115\) | −170347. | − | 25675.6i | −1.20113 | − | 0.181041i | ||||
\(116\) | 3139.13 | + | 41888.8i | 0.0216603 | + | 0.289037i | ||||
\(117\) | −160545. | − | 409061.i | −1.08426 | − | 2.76264i | ||||
\(118\) | −8077.60 | + | 35390.3i | −0.0534045 | + | 0.233980i | ||||
\(119\) | −6959.41 | + | 92866.8i | −0.0450510 | + | 0.601164i | ||||
\(120\) | 486097. | − | 149941.i | 3.08156 | − | 0.950534i | ||||
\(121\) | −88195.6 | − | 42472.7i | −0.547625 | − | 0.263722i | ||||
\(122\) | −73997.9 | − | 128168.i | −0.450111 | − | 0.779615i | ||||
\(123\) | −84026.2 | + | 145538.i | −0.500786 | + | 0.867387i | ||||
\(124\) | 38173.4 | − | 26026.2i | 0.222950 | − | 0.152004i | ||||
\(125\) | 53436.1 | + | 234119.i | 0.305886 | + | 1.34017i | ||||
\(126\) | −156834. | + | 23638.9i | −0.880061 | + | 0.132648i | ||||
\(127\) | 51363.8 | − | 64408.2i | 0.282584 | − | 0.354349i | −0.620200 | − | 0.784444i | \(-0.712948\pi\) |
0.902784 | + | 0.430095i | \(0.141520\pi\) | |||||||
\(128\) | 83304.2 | 0.449409 | ||||||||
\(129\) | 329334. | − | 121045.i | 1.74246 | − | 0.640432i | ||||
\(130\) | −260264. | −1.35069 | ||||||||
\(131\) | −7390.39 | + | 9267.26i | −0.0376261 | + | 0.0471816i | −0.800289 | − | 0.599615i | \(-0.795320\pi\) |
0.762662 | + | 0.646797i | \(0.223892\pi\) | |||||||
\(132\) | −261053. | + | 39347.4i | −1.30405 | + | 0.196554i | ||||
\(133\) | 7162.47 | + | 31380.8i | 0.0351103 | + | 0.153828i | ||||
\(134\) | 87107.3 | − | 59388.7i | 0.419076 | − | 0.285721i | ||||
\(135\) | −477283. | + | 826678.i | −2.25394 | + | 3.90393i | ||||
\(136\) | −122618. | − | 212381.i | −0.568471 | − | 0.984620i | ||||
\(137\) | 361563. | + | 174120.i | 1.64582 | + | 0.792586i | 0.999566 | + | 0.0294642i | \(0.00938011\pi\) |
0.646255 | + | 0.763121i | \(0.276334\pi\) | |||||||
\(138\) | −190408. | + | 58733.0i | −0.851112 | + | 0.262533i | ||||
\(139\) | −11238.7 | + | 149970.i | −0.0493378 | + | 0.658367i | 0.916635 | + | 0.399724i | \(0.130894\pi\) |
−0.965973 | + | 0.258642i | \(0.916725\pi\) | |||||||
\(140\) | 26629.7 | − | 116672.i | 0.114827 | − | 0.503092i | ||||
\(141\) | −124951. | − | 318370.i | −0.529288 | − | 1.34860i | ||||
\(142\) | −15431.8 | − | 205923.i | −0.0642238 | − | 0.857007i | ||||
\(143\) | 371964. | + | 56064.5i | 1.52111 | + | 0.229270i | ||||
\(144\) | 56174.5 | − | 52122.3i | 0.225753 | − | 0.209468i | ||||
\(145\) | −198131. | + | 95415.0i | −0.782587 | + | 0.376874i | ||||
\(146\) | −7681.67 | − | 5237.27i | −0.0298245 | − | 0.0203340i | ||||
\(147\) | 124210. | − | 316483.i | 0.474094 | − | 1.20797i | ||||
\(148\) | 42257.0 | + | 13034.6i | 0.158579 | + | 0.0489150i | ||||
\(149\) | −358788. | − | 332907.i | −1.32395 | − | 1.22845i | −0.954147 | − | 0.299339i | \(-0.903234\pi\) |
−0.369806 | − | 0.929109i | \(-0.620576\pi\) | |||||||
\(150\) | 384697. | + | 482395.i | 1.39602 | + | 1.75055i | ||||
\(151\) | −251930. | − | 315910.i | −0.899160 | − | 1.12751i | −0.991281 | − | 0.131764i | \(-0.957936\pi\) |
0.0921208 | − | 0.995748i | \(-0.470635\pi\) | |||||||
\(152\) | −62134.9 | − | 57652.7i | −0.218136 | − | 0.202400i | ||||
\(153\) | 743780. | + | 229426.i | 2.56872 | + | 0.792344i | ||||
\(154\) | 49601.6 | − | 126383.i | 0.168537 | − | 0.429424i | ||||
\(155\) | 199843. | + | 136251.i | 0.668130 | + | 0.455523i | ||||
\(156\) | 345537. | − | 166402.i | 1.13680 | − | 0.547452i | ||||
\(157\) | −258216. | + | 239589.i | −0.836053 | + | 0.775744i | −0.976766 | − | 0.214307i | \(-0.931251\pi\) |
0.140714 | + | 0.990050i | \(0.455060\pi\) | |||||||
\(158\) | −85539.0 | − | 12892.9i | −0.272597 | − | 0.0410874i | ||||
\(159\) | −58342.2 | − | 778523.i | −0.183016 | − | 2.44219i | ||||
\(160\) | 188926. | + | 481375.i | 0.583433 | + | 1.48656i | ||||
\(161\) | −29049.8 | + | 127276.i | −0.0883240 | + | 0.386973i | ||||
\(162\) | −42015.5 | + | 560658.i | −0.125783 | + | 1.67846i | ||||
\(163\) | 330825. | − | 102046.i | 0.975281 | − | 0.300834i | 0.234154 | − | 0.972199i | \(-0.424768\pi\) |
0.741127 | + | 0.671365i | \(0.234292\pi\) | |||||||
\(164\) | −93799.2 | − | 45171.3i | −0.272326 | − | 0.131145i | ||||
\(165\) | −691044. | − | 1.19692e6i | −1.97604 | − | 3.42260i | ||||
\(166\) | 138034. | − | 239082.i | 0.388791 | − | 0.673406i | ||||
\(167\) | 72035.3 | − | 49112.9i | 0.199873 | − | 0.136271i | −0.459248 | − | 0.888308i | \(-0.651881\pi\) |
0.659121 | + | 0.752037i | \(0.270929\pi\) | |||||||
\(168\) | −85781.0 | − | 375831.i | −0.234486 | − | 1.02735i | ||||
\(169\) | −173208. | + | 26107.0i | −0.466501 | + | 0.0703136i | ||||
\(170\) | 287427. | − | 360422.i | 0.762790 | − | 0.956508i | ||||
\(171\) | 269027. | 0.703568 | ||||||||
\(172\) | 90025.1 | + | 197850.i | 0.232029 | + | 0.509934i | ||||
\(173\) | −387445. | −0.984226 | −0.492113 | − | 0.870531i | \(-0.663775\pi\) | ||||
−0.492113 | + | 0.870531i | \(0.663775\pi\) | |||||||
\(174\) | −158592. | + | 198868.i | −0.397107 | + | 0.497957i | ||||
\(175\) | 399727. | − | 60249.2i | 0.986663 | − | 0.148715i | ||||
\(176\) | 14596.7 | + | 63952.5i | 0.0355201 | + | 0.155624i | ||||
\(177\) | 231375. | − | 157749.i | 0.555115 | − | 0.378471i | ||||
\(178\) | −227359. | + | 393798.i | −0.537852 | + | 0.931586i | ||||
\(179\) | −167959. | − | 290913.i | −0.391806 | − | 0.678627i | 0.600882 | − | 0.799338i | \(-0.294816\pi\) |
−0.992688 | + | 0.120710i | \(0.961483\pi\) | |||||||
\(180\) | −901175. | − | 433983.i | −2.07314 | − | 0.998369i | ||||
\(181\) | 336585. | − | 103823.i | 0.763658 | − | 0.235557i | 0.111628 | − | 0.993750i | \(-0.464394\pi\) |
0.652030 | + | 0.758193i | \(0.273917\pi\) | |||||||
\(182\) | −14739.1 | + | 196680.i | −0.0329832 | + | 0.440130i | ||||
\(183\) | −254050. | + | 1.11307e6i | −0.560778 | + | 2.45693i | ||||
\(184\) | −125597. | − | 320016.i | −0.273486 | − | 0.696831i | ||||
\(185\) | 17300.5 | + | 230860.i | 0.0371647 | + | 0.495928i | ||||
\(186\) | 276640. | + | 41696.8i | 0.586317 | + | 0.0883731i | ||||
\(187\) | −488423. | + | 453190.i | −1.02139 | + | 0.947713i | ||||
\(188\) | 190895. | − | 91930.4i | 0.393914 | − | 0.189699i | ||||
\(189\) | 597685. | + | 407495.i | 1.21708 | + | 0.829789i | ||||
\(190\) | 58211.9 | − | 148322.i | 0.116984 | − | 0.298071i | ||||
\(191\) | −808397. | − | 249357.i | −1.60340 | − | 0.494583i | −0.641300 | − | 0.767290i | \(-0.721605\pi\) |
−0.962097 | + | 0.272707i | \(0.912081\pi\) | |||||||
\(192\) | 525975. | + | 488033.i | 1.02970 | + | 0.955424i | ||||
\(193\) | −245927. | − | 308383.i | −0.475240 | − | 0.595932i | 0.485205 | − | 0.874400i | \(-0.338745\pi\) |
−0.960446 | + | 0.278468i | \(0.910173\pi\) | |||||||
\(194\) | 216815. | + | 271878.i | 0.413604 | + | 0.518644i | ||||
\(195\) | 1.47180e6 | + | 1.36563e6i | 2.77180 | + | 2.57185i | ||||
\(196\) | 201265. | + | 62081.9i | 0.374220 | + | 0.115432i | ||||
\(197\) | 209134. | − | 532865.i | 0.383936 | − | 0.978254i | −0.600042 | − | 0.799968i | \(-0.704850\pi\) |
0.983979 | − | 0.178286i | \(-0.0570551\pi\) | |||||||
\(198\) | −937578. | − | 639230.i | −1.69959 | − | 1.15876i | ||||
\(199\) | −201773. | + | 97168.9i | −0.361186 | + | 0.173938i | −0.605671 | − | 0.795715i | \(-0.707095\pi\) |
0.244485 | + | 0.969653i | \(0.421381\pi\) | |||||||
\(200\) | −780342. | + | 724052.i | −1.37946 | + | 1.27996i | ||||
\(201\) | −804210. | − | 121215.i | −1.40404 | − | 0.211625i | ||||
\(202\) | −37732.8 | − | 503510.i | −0.0650641 | − | 0.868219i | ||||
\(203\) | 60883.9 | + | 155130.i | 0.103696 | + | 0.264213i | ||||
\(204\) | −151160. | + | 662277.i | −0.254310 | + | 1.11420i | ||||
\(205\) | 40730.0 | − | 543504.i | 0.0676908 | − | 0.903270i | ||||
\(206\) | 30469.6 | − | 9398.64i | 0.0500264 | − | 0.0154311i | ||||
\(207\) | 983075. | + | 473424.i | 1.59463 | + | 0.767935i | ||||
\(208\) | −47646.7 | − | 82526.5i | −0.0763615 | − | 0.132262i | ||||
\(209\) | −115146. | + | 199438.i | −0.182340 | + | 0.315822i | ||||
\(210\) | 598740. | − | 408214.i | 0.936893 | − | 0.638763i | ||||
\(211\) | 83154.8 | + | 364325.i | 0.128582 | + | 0.563356i | 0.997641 | + | 0.0686469i | \(0.0218682\pi\) |
−0.869059 | + | 0.494709i | \(0.835275\pi\) | |||||||
\(212\) | 478249. | − | 72084.4i | 0.730826 | − | 0.110154i | ||||
\(213\) | −993229. | + | 1.24547e6i | −1.50003 | + | 1.88098i | ||||
\(214\) | 81554.5 | 0.121734 | ||||||||
\(215\) | −791991. | + | 817126.i | −1.16849 | + | 1.20557i | ||||
\(216\) | −1.90491e6 | −2.77806 | ||||||||
\(217\) | 114281. | − | 143304.i | 0.164750 | − | 0.206590i | ||||
\(218\) | −383163. | + | 57752.5i | −0.546062 | + | 0.0823057i | ||||
\(219\) | 15959.5 | + | 69923.2i | 0.0224858 | + | 0.0985169i | ||||
\(220\) | 707433. | − | 482320.i | 0.985436 | − | 0.671859i | ||||
\(221\) | 483960. | − | 838244.i | 0.666544 | − | 1.15449i | ||||
\(222\) | 133888. | + | 231901.i | 0.182331 | + | 0.315806i | ||||
\(223\) | 411976. | + | 198397.i | 0.554767 | + | 0.267161i | 0.690192 | − | 0.723626i | \(-0.257526\pi\) |
−0.135426 | + | 0.990788i | \(0.543240\pi\) | |||||||
\(224\) | 374470. | − | 115509.i | 0.498652 | − | 0.153814i | ||||
\(225\) | 252488. | − | 3.36922e6i | 0.332495 | − | 4.43684i | ||||
\(226\) | 68060.7 | − | 298193.i | 0.0886391 | − | 0.388353i | ||||
\(227\) | 23180.7 | + | 59063.5i | 0.0298581 | + | 0.0760772i | 0.945025 | − | 0.326997i | \(-0.106037\pi\) |
−0.915167 | + | 0.403074i | \(0.867942\pi\) | |||||||
\(228\) | 17546.0 | + | 234135.i | 0.0223533 | + | 0.298284i | ||||
\(229\) | 1.21466e6 | + | 183081.i | 1.53062 | + | 0.230703i | 0.859689 | − | 0.510819i | \(-0.170658\pi\) |
0.670929 | + | 0.741522i | \(0.265896\pi\) | |||||||
\(230\) | 473728. | − | 439555.i | 0.590485 | − | 0.547890i | ||||
\(231\) | −943640. | + | 454433.i | −1.16353 | + | 0.560325i | ||||
\(232\) | −362592. | − | 247211.i | −0.442281 | − | 0.301542i | ||||
\(233\) | 449206. | − | 1.14456e6i | 0.542071 | − | 1.38117i | −0.353157 | − | 0.935564i | \(-0.614892\pi\) |
0.895227 | − | 0.445609i | \(-0.147013\pi\) | |||||||
\(234\) | 1.57523e6 | + | 485894.i | 1.88063 | + | 0.580098i | ||||
\(235\) | 813111. | + | 754457.i | 0.960462 | + | 0.891178i | ||||
\(236\) | 108164. | + | 135634.i | 0.126417 | + | 0.158521i | ||||
\(237\) | 416074. | + | 521740.i | 0.481171 | + | 0.603369i | ||||
\(238\) | −256090. | − | 237617.i | −0.293056 | − | 0.271917i | ||||
\(239\) | −141952. | − | 43786.3i | −0.160748 | − | 0.0495843i | 0.213337 | − | 0.976979i | \(-0.431567\pi\) |
−0.374085 | + | 0.927395i | \(0.622043\pi\) | |||||||
\(240\) | −127914. | + | 325920.i | −0.143348 | + | 0.365244i | ||||
\(241\) | −268.600 | − | 183.129i | −0.000297896 | − | 0.000203102i | 0.563171 | − | 0.826340i | \(-0.309581\pi\) |
−0.563469 | + | 0.826137i | \(0.690534\pi\) | |||||||
\(242\) | 330848. | − | 159328.i | 0.363154 | − | 0.174886i | ||||
\(243\) | 1.36769e6 | − | 1.26903e6i | 1.48584 | − | 1.37866i | ||||
\(244\) | −699382. | − | 105415.i | −0.752038 | − | 0.113352i | ||||
\(245\) | 82400.3 | + | 1.09956e6i | 0.0877028 | + | 1.17031i | ||||
\(246\) | −230317. | − | 586838.i | −0.242654 | − | 0.618273i | ||||
\(247\) | 74443.4 | − | 326158.i | 0.0776397 | − | 0.340162i | ||||
\(248\) | −36070.3 | + | 481324.i | −0.0372409 | + | 0.496945i | ||||
\(249\) | −2.03507e6 | + | 627736.i | −2.08008 | + | 0.641621i | ||||
\(250\) | −811625. | − | 390858.i | −0.821307 | − | 0.395521i | ||||
\(251\) | −462077. | − | 800342.i | −0.462946 | − | 0.801846i | 0.536160 | − | 0.844116i | \(-0.319874\pi\) |
−0.999106 | + | 0.0422702i | \(0.986541\pi\) | |||||||
\(252\) | −378992. | + | 656433.i | −0.375949 | + | 0.651162i | ||||
\(253\) | −771726. | + | 526154.i | −0.757987 | + | 0.516787i | ||||
\(254\) | 68767.1 | + | 301288.i | 0.0668800 | + | 0.293021i | ||||
\(255\) | −3.51657e6 | + | 530037.i | −3.38663 | + | 0.510453i | ||||
\(256\) | −689525. | + | 864637.i | −0.657582 | + | 0.824582i | ||||
\(257\) | −673625. | −0.636188 | −0.318094 | − | 0.948059i | \(-0.603043\pi\) | ||||
−0.318094 | + | 0.948059i | \(0.603043\pi\) | |||||||
\(258\) | −415268. | + | 1.24901e6i | −0.388400 | + | 1.16820i | ||||
\(259\) | 175439. | 0.162508 | ||||||||
\(260\) | −775510. | + | 972459.i | −0.711466 | + | 0.892150i | ||||
\(261\) | 1.37730e6 | − | 207595.i | 1.25149 | − | 0.188632i | ||||
\(262\) | −9894.44 | − | 43350.4i | −0.00890508 | − | 0.0390157i | ||||
\(263\) | 32753.1 | − | 22330.7i | 0.0291987 | − | 0.0199073i | −0.548633 | − | 0.836063i | \(-0.684851\pi\) |
0.577831 | + | 0.816156i | \(0.303899\pi\) | |||||||
\(264\) | 1.37903e6 | − | 2.38856e6i | 1.21777 | − | 2.10924i | ||||
\(265\) | 1.26599e6 | + | 2.19276e6i | 1.10743 | + | 1.91813i | ||||
\(266\) | −108789. | − | 52389.9i | −0.0942714 | − | 0.0453987i | ||||
\(267\) | 3.35201e6 | − | 1.03396e6i | 2.87758 | − | 0.887615i | ||||
\(268\) | 37652.0 | − | 502430.i | 0.0320222 | − | 0.427306i | ||||
\(269\) | 400334. | − | 1.75398e6i | 0.337320 | − | 1.47789i | −0.467298 | − | 0.884100i | \(-0.654772\pi\) |
0.804618 | − | 0.593793i | \(-0.202370\pi\) | |||||||
\(270\) | −1.30824e6 | − | 3.33333e6i | −1.09214 | − | 2.78272i | ||||
\(271\) | −107325. | − | 1.43216e6i | −0.0887727 | − | 1.18459i | −0.846635 | − | 0.532174i | \(-0.821375\pi\) |
0.757862 | − | 0.652415i | \(-0.226244\pi\) | |||||||
\(272\) | 166904. | + | 25156.8i | 0.136787 | + | 0.0206174i | ||||
\(273\) | 1.11535e6 | − | 1.03489e6i | 0.905738 | − | 0.840402i | ||||
\(274\) | −1.35633e6 | + | 653175.i | −1.09141 | + | 0.525598i | ||||
\(275\) | 2.38964e6 | + | 1.62923e6i | 1.90546 | + | 1.29912i | ||||
\(276\) | −347906. | + | 886450.i | −0.274909 | + | 0.700457i | ||||
\(277\) | 1.18859e6 | + | 366630.i | 0.930746 | + | 0.287097i | 0.722811 | − | 0.691045i | \(-0.242850\pi\) |
0.207935 | + | 0.978143i | \(0.433326\pi\) | |||||||
\(278\) | −413559. | − | 383727.i | −0.320941 | − | 0.297790i | ||||
\(279\) | −955166. | − | 1.19774e6i | −0.734629 | − | 0.921196i | ||||
\(280\) | 779512. | + | 977478.i | 0.594194 | + | 0.745095i | ||||
\(281\) | 603955. | + | 560389.i | 0.456288 | + | 0.423373i | 0.874537 | − | 0.484959i | \(-0.161166\pi\) |
−0.418249 | + | 0.908332i | \(0.637356\pi\) | |||||||
\(282\) | 1.22599e6 | + | 378168.i | 0.918047 | + | 0.283180i | ||||
\(283\) | −104237. | + | 265591.i | −0.0773669 | + | 0.197128i | −0.964324 | − | 0.264723i | \(-0.914719\pi\) |
0.886957 | + | 0.461851i | \(0.152815\pi\) | |||||||
\(284\) | −815399. | − | 555930.i | −0.599894 | − | 0.409001i | ||||
\(285\) | −1.10744e6 | + | 533317.i | −0.807625 | + | 0.388932i | ||||
\(286\) | −1.03442e6 | + | 959798.i | −0.747791 | + | 0.693849i | ||||
\(287\) | −408415. | − | 61558.6i | −0.292682 | − | 0.0441148i | ||||
\(288\) | −244767. | − | 3.26619e6i | −0.173889 | − | 2.32039i | ||||
\(289\) | 107624. | + | 274221.i | 0.0757990 | + | 0.193133i | ||||
\(290\) | 183568. | − | 804262.i | 0.128174 | − | 0.561568i | ||||
\(291\) | 200472. | − | 2.67512e6i | 0.138778 | − | 1.85187i | ||||
\(292\) | −42457.7 | + | 13096.5i | −0.0291407 | + | 0.00898871i | ||||
\(293\) | −1.19965e6 | − | 577722.i | −0.816368 | − | 0.393142i | −0.0213832 | − | 0.999771i | \(-0.506807\pi\) |
−0.794985 | + | 0.606629i | \(0.792521\pi\) | |||||||
\(294\) | 637693. | + | 1.10452e6i | 0.430272 | + | 0.745253i | ||||
\(295\) | −454103. | + | 786529.i | −0.303808 | + | 0.526211i | ||||
\(296\) | −381715. | + | 260249.i | −0.253227 | + | 0.172647i | ||||
\(297\) | 1.15166e6 | + | 5.04573e6i | 0.757585 | + | 3.31920i | ||||
\(298\) | 1.81555e6 | − | 273650.i | 1.18431 | − | 0.178507i | ||||
\(299\) | 845990. | − | 1.06084e6i | 0.547252 | − | 0.686232i | ||||
\(300\) | 2.94871e6 | 1.89160 | ||||||||
\(301\) | 572644. | + | 644776.i | 0.364308 | + | 0.410197i | ||||
\(302\) | 1.51577e6 | 0.956346 | ||||||||
\(303\) | −2.42858e6 | + | 3.04534e6i | −1.51966 | + | 1.90559i | ||||
\(304\) | 57687.7 | − | 8695.03i | 0.0358014 | − | 0.00539619i | ||||
\(305\) | −823934. | − | 3.60989e6i | −0.507158 | − | 2.22200i | ||||
\(306\) | −2.41251e6 | + | 1.64482e6i | −1.47287 | + | 1.00419i | ||||
\(307\) | −836877. | + | 1.44951e6i | −0.506775 | + | 0.877761i | 0.493194 | + | 0.869919i | \(0.335829\pi\) |
−0.999969 | + | 0.00784140i | \(0.997504\pi\) | |||||||
\(308\) | −324422. | − | 561916.i | −0.194865 | − | 0.337516i | ||||
\(309\) | −221622. | − | 106727.i | −0.132043 | − | 0.0635886i | ||||
\(310\) | −867023. | + | 267441.i | −0.512420 | + | 0.158061i | ||||
\(311\) | −29073.0 | + | 387952.i | −0.0170447 | + | 0.227446i | 0.982176 | + | 0.187965i | \(0.0601893\pi\) |
−0.999220 | + | 0.0394802i | \(0.987430\pi\) | |||||||
\(312\) | −891567. | + | 3.90621e6i | −0.518522 | + | 2.27180i | ||||
\(313\) | 481786. | + | 1.22757e6i | 0.277967 | + | 0.708248i | 0.999868 | + | 0.0162520i | \(0.00517340\pi\) |
−0.721901 | + | 0.691996i | \(0.756731\pi\) | |||||||
\(314\) | −98747.4 | − | 1.31769e6i | −0.0565199 | − | 0.754206i | ||||
\(315\) | −3.92384e6 | − | 591424.i | −2.22810 | − | 0.335832i | ||||
\(316\) | −303054. | + | 281193.i | −0.170727 | + | 0.158411i | ||||
\(317\) | −965499. | + | 464960.i | −0.539639 | + | 0.259877i | −0.683790 | − | 0.729679i | \(-0.739669\pi\) |
0.144150 | + | 0.989556i | \(0.453955\pi\) | |||||||
\(318\) | 2.41978e6 | + | 1.64978e6i | 1.34186 | + | 0.914865i | ||||
\(319\) | −435599. | + | 1.10989e6i | −0.239668 | + | 0.610665i | ||||
\(320\) | −2.22365e6 | − | 685907.i | −1.21393 | − | 0.374447i | ||||
\(321\) | −461191. | − | 427923.i | −0.249815 | − | 0.231795i | ||||
\(322\) | −305340. | − | 382885.i | −0.164114 | − | 0.205792i | ||||
\(323\) | 369460. | + | 463288.i | 0.197043 | + | 0.247084i | ||||
\(324\) | 1.96966e6 | + | 1.82758e6i | 1.04239 | + | 0.967194i | ||||
\(325\) | −4.01484e6 | − | 1.23842e6i | −2.10844 | − | 0.650366i | ||||
\(326\) | −474478. | + | 1.20895e6i | −0.247270 | + | 0.630034i | ||||
\(327\) | 2.46982e6 | + | 1.68390e6i | 1.27731 | + | 0.870856i | ||||
\(328\) | 979936. | − | 471912.i | 0.502936 | − | 0.242201i | ||||
\(329\) | 616184. | − | 571736.i | 0.313849 | − | 0.291209i | ||||
\(330\) | 5.12672e6 | + | 772729.i | 2.59152 | + | 0.390609i | ||||
\(331\) | −107338. | − | 1.43232e6i | −0.0538497 | − | 0.718574i | −0.957155 | − | 0.289576i | \(-0.906486\pi\) |
0.903305 | − | 0.428998i | \(-0.141133\pi\) | |||||||
\(332\) | −482012. | − | 1.22815e6i | −0.240001 | − | 0.611512i | ||||
\(333\) | 326287. | − | 1.42956e6i | 0.161246 | − | 0.706466i | ||||
\(334\) | −24440.9 | + | 326142.i | −0.0119881 | + | 0.159971i | ||||
\(335\) | 2.52049e6 | − | 777468.i | 1.22708 | − | 0.378504i | ||||
\(336\) | 239051. | + | 115121.i | 0.115516 | + | 0.0556296i | ||||
\(337\) | −282403. | − | 489136.i | −0.135455 | − | 0.234614i | 0.790316 | − | 0.612699i | \(-0.209916\pi\) |
−0.925771 | + | 0.378085i | \(0.876583\pi\) | |||||||
\(338\) | 328548. | − | 569062.i | 0.156425 | − | 0.270937i | ||||
\(339\) | −1.94953e6 | + | 1.32917e6i | −0.921362 | + | 0.628174i | ||||
\(340\) | −490243. | − | 2.14790e6i | −0.229993 | − | 1.00766i | ||||
\(341\) | 1.29674e6 | − | 195452.i | 0.603902 | − | 0.0910235i | ||||
\(342\) | −629228. | + | 789027.i | −0.290899 | + | 0.364776i | ||||
\(343\) | 2.03097e6 | 0.932112 | ||||||||
\(344\) | −2.20242e6 | − | 553416.i | −1.00347 | − | 0.252148i | ||||
\(345\) | −4.98532e6 | −2.25499 | ||||||||
\(346\) | 906195. | − | 1.13633e6i | 0.406941 | − | 0.510288i | ||||
\(347\) | −1.57123e6 | + | 236825.i | −0.700514 | + | 0.105586i | −0.489636 | − | 0.871927i | \(-0.662870\pi\) |
−0.210878 | + | 0.977512i | \(0.567632\pi\) | |||||||
\(348\) | 270499. | + | 1.18513e6i | 0.119734 | + | 0.524589i | ||||
\(349\) | −1.56268e6 | + | 1.06542e6i | −0.686762 | + | 0.468227i | −0.855749 | − | 0.517392i | \(-0.826903\pi\) |
0.168986 | + | 0.985618i | \(0.445951\pi\) | |||||||
\(350\) | −758218. | + | 1.31327e6i | −0.330844 | + | 0.573039i | ||||
\(351\) | −3.75924e6 | − | 6.51119e6i | −1.62867 | − | 2.82093i | ||||
\(352\) | 2.52609e6 | + | 1.21650e6i | 1.08665 | + | 0.523305i | ||||
\(353\) | 2.67330e6 | − | 824605.i | 1.14186 | − | 0.352216i | 0.334567 | − | 0.942372i | \(-0.391410\pi\) |
0.807289 | + | 0.590156i | \(0.200934\pi\) | |||||||
\(354\) | −78503.3 | + | 1.04755e6i | −0.0332951 | + | 0.444292i | ||||
\(355\) | 1.14965e6 | − | 5.03693e6i | 0.484165 | − | 2.12127i | ||||
\(356\) | 793933. | + | 2.02291e6i | 0.332016 | + | 0.845963i | ||||
\(357\) | 201397. | + | 2.68746e6i | 0.0836339 | + | 1.11602i | ||||
\(358\) | 1.24606e6 | + | 187813.i | 0.513842 | + | 0.0774492i | ||||
\(359\) | −875699. | + | 812530.i | −0.358607 | + | 0.332739i | −0.838816 | − | 0.544416i | \(-0.816751\pi\) |
0.480209 | + | 0.877154i | \(0.340561\pi\) | |||||||
\(360\) | 9.41472e6 | − | 4.53389e6i | 3.82870 | − | 1.84380i | ||||
\(361\) | −1.87663e6 | − | 1.27946e6i | −0.757896 | − | 0.516725i | ||||
\(362\) | −482739. | + | 1.23000e6i | −0.193616 | + | 0.493325i | ||||
\(363\) | −2.70696e6 | − | 834986.i | −1.07824 | − | 0.332593i | ||||
\(364\) | 690961. | + | 641118.i | 0.273338 | + | 0.253621i | ||||
\(365\) | −145028. | − | 181859.i | −0.0569796 | − | 0.0714502i | ||||
\(366\) | −2.67030e6 | − | 3.34845e6i | −1.04197 | − | 1.30659i | ||||
\(367\) | −191028. | − | 177248.i | −0.0740340 | − | 0.0686935i | 0.642288 | − | 0.766463i | \(-0.277985\pi\) |
−0.716322 | + | 0.697770i | \(0.754176\pi\) | |||||||
\(368\) | 226103. | + | 69743.5i | 0.0870335 | + | 0.0268463i | ||||
\(369\) | −1.26119e6 | + | 3.21347e6i | −0.482188 | + | 1.22859i | ||||
\(370\) | −717549. | − | 489217.i | −0.272488 | − | 0.185779i | ||||
\(371\) | 1.72875e6 | − | 832521.i | 0.652074 | − | 0.314022i | ||||
\(372\) | 980101. | − | 909401.i | 0.367209 | − | 0.340720i | ||||
\(373\) | 1.23253e6 | + | 185775.i | 0.458698 | + | 0.0691376i | 0.374327 | − | 0.927297i | \(-0.377874\pi\) |
0.0843711 | + | 0.996434i | \(0.473112\pi\) | |||||||
\(374\) | −186784. | − | 2.49246e6i | −0.0690494 | − | 0.921401i | ||||
\(375\) | 2.53888e6 | + | 6.46897e6i | 0.932320 | + | 2.37551i | ||||
\(376\) | −492556. | + | 2.15803e6i | −0.179674 | + | 0.787204i | ||||
\(377\) | 129438. | − | 1.72723e6i | 0.0469039 | − | 0.625889i | ||||
\(378\) | −2.59306e6 | + | 799853.i | −0.933433 | + | 0.287926i | ||||
\(379\) | −3.86056e6 | − | 1.85915e6i | −1.38055 | − | 0.664838i | −0.411434 | − | 0.911440i | \(-0.634972\pi\) |
−0.969117 | + | 0.246601i | \(0.920686\pi\) | |||||||
\(380\) | −380738. | − | 659458.i | −0.135259 | − | 0.234276i | ||||
\(381\) | 1.19201e6 | − | 2.06462e6i | 0.420694 | − | 0.728663i | ||||
\(382\) | 2.62210e6 | − | 1.78771e6i | 0.919370 | − | 0.626816i | ||||
\(383\) | 379178. | + | 1.66129e6i | 0.132083 | + | 0.578692i | 0.997043 | + | 0.0768513i | \(0.0244867\pi\) |
−0.864960 | + | 0.501841i | \(0.832656\pi\) | |||||||
\(384\) | 2.38380e6 | − | 359300.i | 0.824977 | − | 0.124345i | ||||
\(385\) | 2.11787e6 | − | 2.65572e6i | 0.728195 | − | 0.913127i | ||||
\(386\) | 1.47965e6 | 0.505465 | ||||||||
\(387\) | 6.31897e6 | − | 3.46700e6i | 2.14471 | − | 1.17673i | ||||
\(388\) | 1.66189e6 | 0.560433 | ||||||||
\(389\) | 2.84754e6 | − | 3.57070e6i | 0.954105 | − | 1.19641i | −0.0263479 | − | 0.999653i | \(-0.508388\pi\) |
0.980452 | − | 0.196756i | \(-0.0630408\pi\) | |||||||
\(390\) | −7.44763e6 | + | 1.12255e6i | −2.47946 | + | 0.373718i | ||||
\(391\) | 534798. | + | 2.34310e6i | 0.176908 | + | 0.775085i | ||||
\(392\) | −1.81806e6 | + | 1.23953e6i | −0.597576 | + | 0.407420i | ||||
\(393\) | −171510. | + | 297064.i | −0.0560154 | + | 0.0970216i | ||||
\(394\) | 1.07369e6 | + | 1.85968e6i | 0.348448 | + | 0.603530i | ||||
\(395\) | −1.94995e6 | − | 939048.i | −0.628827 | − | 0.302827i | ||||
\(396\) | −5.18213e6 | + | 1.59848e6i | −1.66062 | + | 0.512234i | ||||
\(397\) | −14649.4 | + | 195482.i | −0.00466491 | + | 0.0622488i | −0.999050 | − | 0.0435693i | \(-0.986127\pi\) |
0.994386 | + | 0.105818i | \(0.0337461\pi\) | |||||||
\(398\) | 186942. | − | 819046.i | 0.0591561 | − | 0.259180i | ||||
\(399\) | 340307. | + | 867089.i | 0.107014 | + | 0.272666i | ||||
\(400\) | −54752.8 | − | 730626.i | −0.0171103 | − | 0.228321i | ||||
\(401\) | −3.90219e6 | − | 588161.i | −1.21185 | − | 0.182657i | −0.488141 | − | 0.872765i | \(-0.662325\pi\) |
−0.723706 | + | 0.690108i | \(0.757563\pi\) | |||||||
\(402\) | 2.23648e6 | − | 2.07515e6i | 0.690239 | − | 0.640448i | ||||
\(403\) | −1.71640e6 | + | 826574.i | −0.526448 | + | 0.253524i | ||||
\(404\) | −1.99376e6 | − | 1.35932e6i | −0.607742 | − | 0.414351i | ||||
\(405\) | −5.13907e6 | + | 1.30941e7i | −1.55685 | + | 3.96679i | ||||
\(406\) | −597379. | − | 184267.i | −0.179860 | − | 0.0554795i | ||||
\(407\) | 920120. | + | 853747.i | 0.275333 | + | 0.255472i | ||||
\(408\) | −4.42482e6 | − | 5.54855e6i | −1.31597 | − | 1.65017i | ||||
\(409\) | 1.91844e6 | + | 2.40565e6i | 0.567075 | + | 0.711090i | 0.979848 | − | 0.199744i | \(-0.0640111\pi\) |
−0.412773 | + | 0.910834i | \(0.635440\pi\) | |||||||
\(410\) | 1.49877e6 | + | 1.39066e6i | 0.440327 | + | 0.408564i | ||||
\(411\) | 1.10973e7 | + | 3.42308e6i | 3.24052 | + | 0.999567i | ||||
\(412\) | 55673.0 | − | 141853.i | 0.0161585 | − | 0.0411713i | ||||
\(413\) | 568657. | + | 387704.i | 0.164050 | + | 0.111847i | ||||
\(414\) | −3.68781e6 | + | 1.77596e6i | −1.05747 | + | 0.509251i | ||||
\(415\) | 5.06318e6 | − | 4.69795e6i | 1.44312 | − | 1.33902i | ||||
\(416\) | −4.02753e6 | − | 607052.i | −1.14105 | − | 0.171986i | ||||
\(417\) | 325235. | + | 4.33996e6i | 0.0915919 | + | 1.22221i | ||||
\(418\) | −315615. | − | 804174.i | −0.0883521 | − | 0.225117i | ||||
\(419\) | −1.26772e6 | + | 5.55426e6i | −0.352769 | + | 1.54558i | 0.417989 | + | 0.908452i | \(0.362735\pi\) |
−0.770758 | + | 0.637128i | \(0.780122\pi\) | |||||||
\(420\) | 258804. | − | 3.45350e6i | 0.0715893 | − | 0.955293i | ||||
\(421\) | −3.43357e6 | + | 1.05912e6i | −0.944150 | + | 0.291232i | −0.728349 | − | 0.685206i | \(-0.759712\pi\) |
−0.215800 | + | 0.976438i | \(0.569236\pi\) | |||||||
\(422\) | −1.26301e6 | − | 608236.i | −0.345245 | − | 0.166261i | ||||
\(423\) | −3.51277e6 | − | 6.08430e6i | −0.954551 | − | 1.65333i | ||||
\(424\) | −2.52639e6 | + | 4.37584e6i | −0.682474 | + | 1.18208i | ||||
\(425\) | 6.14884e6 | − | 4.19221e6i | 1.65128 | − | 1.12582i | ||||
\(426\) | −1.32976e6 | − | 5.82606e6i | −0.355017 | − | 1.55543i | ||||
\(427\) | −2.77463e6 | + | 418208.i | −0.736436 | + | 0.111000i | ||||
\(428\) | 243008. | − | 304722.i | 0.0641225 | − | 0.0804071i | ||||
\(429\) | 1.08858e7 | 2.85572 | ||||||||
\(430\) | −544153. | − | 4.23399e6i | −0.141922 | − | 1.10428i | ||||
\(431\) | 7.36235e6 | 1.90908 | 0.954538 | − | 0.298089i | \(-0.0963493\pi\) | ||||
0.954538 | + | 0.298089i | \(0.0963493\pi\) | |||||||
\(432\) | 817458. | − | 1.02506e6i | 0.210744 | − | 0.264265i | ||||
\(433\) | 939790. | − | 141651.i | 0.240886 | − | 0.0363077i | −0.0274897 | − | 0.999622i | \(-0.508751\pi\) |
0.268375 | + | 0.963314i | \(0.413513\pi\) | |||||||
\(434\) | 153002. | + | 670347.i | 0.0389919 | + | 0.170835i | ||||
\(435\) | −5.25811e6 | + | 3.58492e6i | −1.33231 | + | 0.908356i | ||||
\(436\) | −925922. | + | 1.60374e6i | −0.233270 | + | 0.404035i | ||||
\(437\) | 415340. | + | 719391.i | 0.104040 | + | 0.180203i | ||||
\(438\) | −242404. | − | 116736.i | −0.0603747 | − | 0.0290749i | ||||
\(439\) | −1.23044e6 | + | 379541.i | −0.304719 | + | 0.0939935i | −0.443344 | − | 0.896352i | \(-0.646208\pi\) |
0.138625 | + | 0.990345i | \(0.455732\pi\) | |||||||
\(440\) | −668458. | + | 8.91995e6i | −0.164605 | + | 2.19650i | ||||
\(441\) | 1.55406e6 | − | 6.80880e6i | 0.380516 | − | 1.66715i | ||||
\(442\) | 1.32654e6 | + | 3.37997e6i | 0.322972 | + | 0.822919i | ||||
\(443\) | −119866. | − | 1.59950e6i | −0.0290192 | − | 0.387234i | −0.992736 | − | 0.120309i | \(-0.961611\pi\) |
0.963717 | − | 0.266925i | \(-0.0860076\pi\) | |||||||
\(444\) | 1.26543e6 | + | 190733.i | 0.304635 | + | 0.0459164i | ||||
\(445\) | −8.33968e6 | + | 7.73809e6i | −1.99641 | + | 1.85240i | ||||
\(446\) | −1.54545e6 | + | 744249.i | −0.367890 | + | 0.177166i | ||||
\(447\) | −1.17028e7 | − | 7.97884e6i | −2.77026 | − | 1.88873i | ||||
\(448\) | −644263. | + | 1.64155e6i | −0.151659 | + | 0.386421i | ||||
\(449\) | 6.83319e6 | + | 2.10776e6i | 1.59959 | + | 0.493407i | 0.961094 | − | 0.276222i | \(-0.0890824\pi\) |
0.638492 | + | 0.769629i | \(0.279559\pi\) | |||||||
\(450\) | 9.29101e6 | + | 8.62080e6i | 2.16288 | + | 2.00686i | ||||
\(451\) | −1.84244e6 | − | 2.31035e6i | −0.426533 | − | 0.534855i | ||||
\(452\) | −911376. | − | 1.14283e6i | −0.209822 | − | 0.263109i | ||||
\(453\) | −8.57168e6 | − | 7.95335e6i | −1.96255 | − | 1.82098i | ||||
\(454\) | −227444. | − | 70157.1i | −0.0517886 | − | 0.0159747i | ||||
\(455\) | −1.80280e6 | + | 4.59345e6i | −0.408242 | + | 1.04018i | ||||
\(456\) | −2.02669e6 | − | 1.38177e6i | −0.456431 | − | 0.311189i | ||||
\(457\) | −5.14580e6 | + | 2.47809e6i | −1.15256 | + | 0.555043i | −0.909801 | − | 0.415045i | \(-0.863766\pi\) |
−0.242757 | + | 0.970087i | \(0.578052\pi\) | |||||||
\(458\) | −3.37793e6 | + | 3.13426e6i | −0.752465 | + | 0.698186i | ||||
\(459\) | 1.31685e7 | + | 1.98483e6i | 2.91745 | + | 0.439734i | ||||
\(460\) | −230798. | − | 3.07979e6i | −0.0508555 | − | 0.678620i | ||||
\(461\) | −772643. | − | 1.96866e6i | −0.169327 | − | 0.431439i | 0.820870 | − | 0.571115i | \(-0.193489\pi\) |
−0.990197 | + | 0.139677i | \(0.955394\pi\) | |||||||
\(462\) | 874278. | − | 3.83046e6i | 0.190566 | − | 0.834922i | ||||
\(463\) | −358881. | + | 4.78893e6i | −0.0778033 | + | 1.03821i | 0.812535 | + | 0.582912i | \(0.198087\pi\) |
−0.890338 | + | 0.455300i | \(0.849532\pi\) | |||||||
\(464\) | 288627. | − | 89029.7i | 0.0622361 | − | 0.0191973i | ||||
\(465\) | 6.30631e6 | + | 3.03696e6i | 1.35252 | + | 0.651338i | ||||
\(466\) | 2.30621e6 | + | 3.99448e6i | 0.491965 | + | 0.852109i | ||||
\(467\) | 661972. | − | 1.14657e6i | 0.140458 | − | 0.243281i | −0.787211 | − | 0.616684i | \(-0.788476\pi\) |
0.927669 | + | 0.373403i | \(0.121809\pi\) | |||||||
\(468\) | 6.50921e6 | − | 4.43791e6i | 1.37377 | − | 0.936620i | ||||
\(469\) | −444788. | − | 1.94874e6i | −0.0933729 | − | 0.409093i | ||||
\(470\) | −4.11452e6 | + | 620164.i | −0.859161 | + | 0.129498i | ||||
\(471\) | −6.35563e6 | + | 7.96970e6i | −1.32010 | + | 1.65535i | ||||
\(472\) | −1.81240e6 | −0.374454 | ||||||||
\(473\) | −134370. | + | 6.16834e6i | −0.0276152 | + | 1.26770i | ||||
\(474\) | −2.50336e6 | −0.511773 | ||||||||
\(475\) | 1.60374e6 | − | 2.01102e6i | 0.326136 | − | 0.408962i | ||||
\(476\) | −1.65091e6 | + | 248835.i | −0.333969 | + | 0.0503378i | ||||
\(477\) | −3.56859e6 | − | 1.56350e7i | −0.718126 | − | 3.14632i | ||||
\(478\) | 460431. | − | 313917.i | 0.0921712 | − | 0.0628413i | ||||
\(479\) | 1.67279e6 | − | 2.89735e6i | 0.333121 | − | 0.576982i | −0.650001 | − | 0.759933i | \(-0.725232\pi\) |
0.983122 | + | 0.182951i | \(0.0585650\pi\) | |||||||
\(480\) | 7.48245e6 | + | 1.29600e7i | 1.48231 | + | 2.56744i | ||||
\(481\) | −1.64285e6 | − | 791155.i | −0.323769 | − | 0.155919i | ||||
\(482\) | 1165.33 | − | 359.455i | 0.000228470 | − | 7.04737e-5i | ||||
\(483\) | −282325. | + | 3.76736e6i | −0.0550657 | + | 0.734801i | ||||
\(484\) | 390511. | − | 1.71094e6i | 0.0757739 | − | 0.331987i | ||||
\(485\) | 3.17856e6 | + | 8.09885e6i | 0.613588 | + | 1.56340i | ||||
\(486\) | 523035. | + | 6.97941e6i | 0.100448 | + | 1.34038i | ||||
\(487\) | 5.39785e6 | + | 813594.i | 1.03133 | + | 0.155448i | 0.642837 | − | 0.766003i | \(-0.277757\pi\) |
0.388494 | + | 0.921451i | \(0.372995\pi\) | |||||||
\(488\) | 5.41659e6 | − | 5.02586e6i | 1.02962 | − | 0.955346i | ||||
\(489\) | 9.02663e6 | − | 4.34700e6i | 1.70708 | − | 0.822086i | ||||
\(490\) | −3.41760e6 | − | 2.33008e6i | −0.643029 | − | 0.438410i | ||||
\(491\) | −477073. | + | 1.21556e6i | −0.0893061 | + | 0.227548i | −0.968548 | − | 0.248828i | \(-0.919955\pi\) |
0.879242 | + | 0.476376i | \(0.158050\pi\) | |||||||
\(492\) | −2.87895e6 | − | 888038.i | −0.536193 | − | 0.165394i | ||||
\(493\) | 2.24898e6 | + | 2.08674e6i | 0.416742 | + | 0.386680i | ||||
\(494\) | 782468. | + | 981184.i | 0.144261 | + | 0.180898i | ||||
\(495\) | −1.77012e7 | − | 2.21966e7i | −3.24706 | − | 4.07169i | ||||
\(496\) | −243528. | − | 225961.i | −0.0444473 | − | 0.0412410i | ||||
\(497\) | −3.74126e6 | − | 1.15403e6i | −0.679403 | − | 0.209568i | ||||
\(498\) | 2.91874e6 | − | 7.43684e6i | 0.527379 | − | 1.34374i | ||||
\(499\) | 5.21329e6 | + | 3.55436e6i | 0.937261 | + | 0.639013i | 0.932575 | − | 0.360976i | \(-0.117556\pi\) |
0.00468527 | + | 0.999989i | \(0.498509\pi\) | |||||||
\(500\) | −3.87881e6 | + | 1.86794e6i | −0.693863 | + | 0.334147i | ||||
\(501\) | 1.84951e6 | − | 1.71609e6i | 0.329201 | − | 0.305454i | ||||
\(502\) | 3.42806e6 | + | 516697.i | 0.607141 | + | 0.0915118i | ||||
\(503\) | 707686. | + | 9.44342e6i | 0.124716 | + | 1.66421i | 0.611915 | + | 0.790924i | \(0.290399\pi\) |
−0.487199 | + | 0.873291i | \(0.661981\pi\) | |||||||
\(504\) | −2.89306e6 | − | 7.37139e6i | −0.507319 | − | 1.29263i | ||||
\(505\) | 2.81104e6 | − | 1.23160e7i | 0.490500 | − | 2.14902i | ||||
\(506\) | 261840. | − | 3.49401e6i | 0.0454631 | − | 0.606663i | ||||
\(507\) | −4.84386e6 | + | 1.49413e6i | −0.836896 | + | 0.258148i | ||||
\(508\) | 1.33065e6 | + | 640806.i | 0.228772 | + | 0.110171i | ||||
\(509\) | 972850. | + | 1.68503e6i | 0.166438 | + | 0.288278i | 0.937165 | − | 0.348887i | \(-0.113440\pi\) |
−0.770727 | + | 0.637165i | \(0.780107\pi\) | |||||||
\(510\) | 6.67035e6 | − | 1.15534e7i | 1.13559 | − | 1.96691i | ||||
\(511\) | −145643. | + | 99297.5i | −0.0246738 | + | 0.0168223i | ||||
\(512\) | −329971. | − | 1.44570e6i | −0.0556289 | − | 0.243726i | ||||
\(513\) | 4.55146e6 | − | 686022.i | 0.763584 | − | 0.115092i | ||||
\(514\) | 1.57554e6 | − | 1.97567e6i | 0.263040 | − | 0.329842i | ||||
\(515\) | 797766. | 0.132543 | ||||||||
\(516\) | 3.42947e6 | + | 5.27330e6i | 0.567025 | + | 0.871883i | ||||
\(517\) | 6.01396e6 | 0.989542 | ||||||||
\(518\) | −410333. | + | 514541.i | −0.0671911 | + | 0.0842550i | ||||
\(519\) | −1.10870e7 | + | 1.67109e6i | −1.80674 | + | 0.272322i | ||||
\(520\) | −2.89153e6 | − | 1.26686e7i | −0.468942 | − | 2.05457i | ||||
\(521\) | −6.33777e6 | + | 4.32102e6i | −1.02292 | + | 0.697416i | −0.953877 | − | 0.300197i | \(-0.902947\pi\) |
−0.0690446 | + | 0.997614i | \(0.521995\pi\) | |||||||
\(522\) | −2.61252e6 | + | 4.52502e6i | −0.419647 | + | 0.726850i | ||||
\(523\) | −2.55139e6 | − | 4.41913e6i | −0.407870 | − | 0.706452i | 0.586781 | − | 0.809746i | \(-0.300395\pi\) |
−0.994651 | + | 0.103294i | \(0.967062\pi\) | |||||||
\(524\) | −191458. | − | 92201.2i | −0.0304610 | − | 0.0146693i | ||||
\(525\) | 1.11786e7 | − | 3.44813e6i | 1.77006 | − | 0.545992i | ||||
\(526\) | −11112.8 | + | 148290.i | −0.00175130 | + | 0.0233695i | ||||
\(527\) | 750866. | − | 3.28976e6i | 0.117770 | − | 0.515985i | ||||
\(528\) | 693528. | + | 1.76708e6i | 0.108263 | + | 0.275849i | ||||
\(529\) | −229215. | − | 3.05866e6i | −0.0356126 | − | 0.475217i | ||||
\(530\) | −9.39215e6 | − | 1.41564e6i | −1.45236 | − | 0.218909i | ||||
\(531\) | 4.21681e6 | − | 3.91262e6i | 0.649004 | − | 0.602188i | ||||
\(532\) | −519909. | + | 250375.i | −0.0796431 | + | 0.0383541i | ||||
\(533\) | 3.54689e6 | + | 2.41823e6i | 0.540792 | + | 0.368705i | ||||
\(534\) | −4.80753e6 | + | 1.22494e7i | −0.729573 | + | 1.85892i | ||||
\(535\) | 1.94977e6 | + | 601425.i | 0.294510 | + | 0.0908442i | ||||
\(536\) | 3.85856e6 | + | 3.58022e6i | 0.580114 | + | 0.538267i | ||||
\(537\) | −6.06099e6 | − | 7.60024e6i | −0.907001 | − | 1.13734i | ||||
\(538\) | 4.20787e6 | + | 5.27651e6i | 0.626768 | + | 0.785943i | ||||
\(539\) | 4.38241e6 | + | 4.06629e6i | 0.649743 | + | 0.602873i | ||||
\(540\) | −1.63529e7 | − | 5.04420e6i | −2.41330 | − | 0.744403i | ||||
\(541\) | −1.87662e6 | + | 4.78155e6i | −0.275666 | + | 0.702386i | 0.724251 | + | 0.689536i | \(0.242186\pi\) |
−0.999917 | + | 0.0128497i | \(0.995910\pi\) | |||||||
\(542\) | 4.45138e6 | + | 3.03490e6i | 0.650873 | + | 0.443758i | ||||
\(543\) | 9.18380e6 | − | 4.42268e6i | 1.33667 | − | 0.643704i | ||||
\(544\) | 5.28852e6 | − | 4.90703e6i | 0.766191 | − | 0.710921i | ||||
\(545\) | −9.58641e6 | − | 1.44492e6i | −1.38250 | − | 0.208378i | ||||
\(546\) | 426533. | + | 5.69168e6i | 0.0612309 | + | 0.817070i | ||||
\(547\) | 2.32432e6 | + | 5.92226e6i | 0.332145 | + | 0.846290i | 0.995213 | + | 0.0977315i | \(0.0311587\pi\) |
−0.663068 | + | 0.748559i | \(0.730746\pi\) | |||||||
\(548\) | −1.60092e6 | + | 7.01410e6i | −0.227729 | + | 0.997747i | ||||
\(549\) | −1.75260e6 | + | 2.33868e7i | −0.248171 | + | 3.31161i | ||||
\(550\) | −1.03675e7 | + | 3.19794e6i | −1.46139 | + | 0.450779i | ||||
\(551\) | 955378. | + | 460086.i | 0.134059 | + | 0.0645595i | ||||
\(552\) | −4.97430e6 | − | 8.61575e6i | −0.694840 | − | 1.20350i | ||||
\(553\) | −820059. | + | 1.42038e6i | −0.114033 | + | 0.197512i | ||||
\(554\) | −3.85527e6 | + | 2.62848e6i | −0.533679 | + | 0.363856i | ||||
\(555\) | 1.49079e6 | + | 6.53157e6i | 0.205439 | + | 0.900088i | ||||
\(556\) | −2.66605e6 | + | 401842.i | −0.365747 | + | 0.0551275i | ||||
\(557\) | 954224. | − | 1.19656e6i | 0.130320 | − | 0.163417i | −0.712390 | − | 0.701784i | \(-0.752387\pi\) |
0.842710 | + | 0.538367i | \(0.180959\pi\) | |||||||
\(558\) | 5.74687e6 | 0.781351 | ||||||||
\(559\) | −2.45471e6 | − | 8.62023e6i | −0.332255 | − | 1.16678i | ||||
\(560\) | −860507. | −0.115954 | ||||||||
\(561\) | −1.20219e7 | + | 1.50749e7i | −1.61274 | + | 2.02231i | ||||
\(562\) | −3.05615e6 | + | 460640.i | −0.408163 | + | 0.0615206i | ||||
\(563\) | 1.16369e6 | + | 5.09844e6i | 0.154726 | + | 0.677901i | 0.991473 | + | 0.130311i | \(0.0415975\pi\) |
−0.836747 | + | 0.547590i | \(0.815545\pi\) | |||||||
\(564\) | 5.06608e6 | − | 3.45400e6i | 0.670617 | − | 0.457219i | ||||
\(565\) | 3.82620e6 | − | 6.62717e6i | 0.504251 | − | 0.873388i | ||||
\(566\) | −535149. | − | 926906.i | −0.0702157 | − | 0.121617i | ||||
\(567\) | 9.60410e6 | + | 4.62509e6i | 1.25458 | + | 0.604175i | ||||
\(568\) | 9.85206e6 | − | 3.03896e6i | 1.28132 | − | 0.395234i | ||||
\(569\) | 885055. | − | 1.18102e7i | 0.114601 | − | 1.52925i | −0.582828 | − | 0.812595i | \(-0.698054\pi\) |
0.697430 | − | 0.716653i | \(-0.254327\pi\) | |||||||
\(570\) | 1.02604e6 | − | 4.49538e6i | 0.132275 | − | 0.579535i | ||||
\(571\) | −1.76568e6 | − | 4.49888e6i | −0.226632 | − | 0.577450i | 0.771649 | − | 0.636048i | \(-0.219432\pi\) |
−0.998282 | + | 0.0585986i | \(0.981337\pi\) | |||||||
\(572\) | 503964. | + | 6.72493e6i | 0.0644034 | + | 0.859404i | ||||
\(573\) | −2.42083e7 | − | 3.64881e6i | −3.08019 | − | 0.464264i | ||||
\(574\) | 1.13579e6 | − | 1.05385e6i | 0.143885 | − | 0.133506i | ||||
\(575\) | 9.39926e6 | − | 4.52645e6i | 1.18556 | − | 0.570936i | ||||
\(576\) | 1.21780e7 | + | 8.30279e6i | 1.52939 | + | 1.04272i | ||||
\(577\) | 1.54236e6 | − | 3.92986e6i | 0.192861 | − | 0.491403i | −0.801432 | − | 0.598086i | \(-0.795928\pi\) |
0.994293 | + | 0.106684i | \(0.0340232\pi\) | |||||||
\(578\) | −1.05598e6 | − | 325727.i | −0.131473 | − | 0.0405540i | ||||
\(579\) | −8.36744e6 | − | 7.76385e6i | −1.03728 | − | 0.962456i | ||||
\(580\) | −2.45809e6 | − | 3.08235e6i | −0.303408 | − | 0.380462i | ||||
\(581\) | −3.26347e6 | − | 4.09226e6i | −0.401087 | − | 0.502947i | ||||
\(582\) | 7.37693e6 | + | 6.84479e6i | 0.902752 | + | 0.837631i | ||||
\(583\) | 1.31181e7 | + | 4.04639e6i | 1.59845 | + | 0.493057i | ||||
\(584\) | 169586. | − | 432098.i | 0.0205759 | − | 0.0524264i | ||||
\(585\) | 3.40767e7 | + | 2.32331e7i | 4.11688 | + | 2.80684i | ||||
\(586\) | 4.50026e6 | − | 2.16721e6i | 0.541369 | − | 0.260709i | ||||
\(587\) | −9.71465e6 | + | 9.01388e6i | −1.16368 | + | 1.07973i | −0.168100 | + | 0.985770i | \(0.553763\pi\) |
−0.995576 | + | 0.0939632i | \(0.970046\pi\) | |||||||
\(588\) | 6.02708e6 | + | 908436.i | 0.718892 | + | 0.108355i | ||||
\(589\) | −87157.0 | − | 1.16303e6i | −0.0103518 | − | 0.138135i | ||||
\(590\) | −1.24470e6 | − | 3.17144e6i | −0.147209 | − | 0.375083i | ||||
\(591\) | 3.68619e6 | − | 1.61503e7i | 0.434120 | − | 1.90200i | ||||
\(592\) | 23762.4 | − | 317087.i | 0.00278667 | − | 0.0371855i | ||||
\(593\) | −1.06201e7 | + | 3.27586e6i | −1.24020 | + | 0.382550i | −0.844363 | − | 0.535772i | \(-0.820021\pi\) |
−0.395834 | + | 0.918322i | \(0.629544\pi\) | |||||||
\(594\) | −1.74922e7 | − | 8.42378e6i | −2.03412 | − | 0.979583i | ||||
\(595\) | −4.37020e6 | − | 7.56940e6i | −0.506068 | − | 0.876535i | ||||
\(596\) | 4.38731e6 | − | 7.59905e6i | 0.505921 | − | 0.876281i | ||||
\(597\) | −5.35476e6 | + | 3.65082e6i | −0.614900 | + | 0.419232i | ||||
\(598\) | 1.13263e6 | + | 4.96238e6i | 0.129520 | + | 0.567463i | ||||
\(599\) | 1.21545e7 | − | 1.83200e6i | 1.38411 | − | 0.208621i | 0.585599 | − | 0.810601i | \(-0.300859\pi\) |
0.798511 | + | 0.601980i | \(0.205621\pi\) | |||||||
\(600\) | −1.92071e7 | + | 2.40849e7i | −2.17812 | + | 2.73128i | ||||
\(601\) | −5.49997e6 | −0.621118 | −0.310559 | − | 0.950554i | \(-0.600516\pi\) | ||||
−0.310559 | + | 0.950554i | \(0.600516\pi\) | |||||||
\(602\) | −3.23041e6 | + | 171435.i | −0.363301 | + | 0.0192801i | ||||
\(603\) | −1.67065e7 | −1.87108 | ||||||||
\(604\) | 4.51653e6 | − | 5.66355e6i | 0.503747 | − | 0.631679i | ||||
\(605\) | 9.08476e6 | − | 1.36931e6i | 1.00908 | − | 0.152094i | ||||
\(606\) | −3.25144e6 | − | 1.42455e7i | −0.359662 | − | 1.57578i | ||||
\(607\) | −2.66103e6 | + | 1.81426e6i | −0.293142 | + | 0.199861i | −0.700957 | − | 0.713204i | \(-0.747243\pi\) |
0.407815 | + | 0.913065i | \(0.366291\pi\) | |||||||
\(608\) | 1.24677e6 | − | 2.15946e6i | 0.136781 | − | 0.236912i | ||||
\(609\) | 2.41132e6 | + | 4.17653e6i | 0.263458 | + | 0.456323i | ||||
\(610\) | 1.25145e7 | + | 6.02667e6i | 1.36172 | + | 0.655772i | ||||
\(611\) | −8.34839e6 | + | 2.57514e6i | −0.904690 | + | 0.279060i | ||||
\(612\) | −1.04280e6 | + | 1.39152e7i | −0.112544 | + | 1.50180i | ||||
\(613\) | −2.63826e6 | + | 1.15590e7i | −0.283574 | + | 1.24242i | 0.609601 | + | 0.792709i | \(0.291330\pi\) |
−0.893175 | + | 0.449710i | \(0.851527\pi\) | |||||||
\(614\) | −2.29389e6 | − | 5.84473e6i | −0.245556 | − | 0.625667i | ||||
\(615\) | −1.17868e6 | − | 1.57284e7i | −0.125663 | − | 1.67686i | ||||
\(616\) | 6.70288e6 | + | 1.01030e6i | 0.711721 | + | 0.107275i | ||||
\(617\) | 8.93615e6 | − | 8.29153e6i | 0.945012 | − | 0.876843i | −0.0475145 | − | 0.998871i | \(-0.515130\pi\) |
0.992527 | + | 0.122027i | \(0.0389396\pi\) | |||||||
\(618\) | 831370. | − | 400367.i | 0.0875635 | − | 0.0421683i | ||||
\(619\) | −1.34031e7 | − | 9.13806e6i | −1.40597 | − | 0.958577i | −0.998980 | − | 0.0451469i | \(-0.985624\pi\) |
−0.406995 | − | 0.913431i | \(-0.633423\pi\) | |||||||
\(620\) | −1.58419e6 | + | 4.03646e6i | −0.165512 | + | 0.421717i | ||||
\(621\) | 1.78391e7 | + | 5.50263e6i | 1.85628 | + | 0.572587i | ||||
\(622\) | −1.06982e6 | − | 992649.i | −0.110875 | − | 0.102877i | ||||
\(623\) | 5.37533e6 | + | 6.74045e6i | 0.554862 | + | 0.695775i | ||||
\(624\) | −1.71939e6 | − | 2.15604e6i | −0.176771 | − | 0.221664i | ||||
\(625\) | −3.50162e6 | − | 3.24902e6i | −0.358565 | − | 0.332700i | ||||
\(626\) | −4.72717e6 | − | 1.45814e6i | −0.482132 | − | 0.148718i | ||||
\(627\) | −2.43476e6 | + | 6.20367e6i | −0.247336 | + | 0.630202i | ||||
\(628\) | −5.21770e6 | − | 3.55737e6i | −0.527934 | − | 0.359939i | ||||
\(629\) | 2.90992e6 | − | 1.40134e6i | 0.293261 | − | 0.141227i | ||||
\(630\) | 1.09120e7 | − | 1.01249e7i | 1.09535 | − | 1.01634i | ||||
\(631\) | 2.72740e6 | + | 411089.i | 0.272694 | + | 0.0411020i | 0.283965 | − | 0.958835i | \(-0.408350\pi\) |
−0.0112718 | + | 0.999936i | \(0.503588\pi\) | |||||||
\(632\) | −322760. | − | 4.30693e6i | −0.0321430 | − | 0.428919i | ||||
\(633\) | 3.95090e6 | + | 1.00667e7i | 0.391910 | + | 0.998571i | ||||
\(634\) | 894530. | − | 3.91919e6i | 0.0883836 | − | 0.387234i | ||||
\(635\) | −577800. | + | 7.71021e6i | −0.0568648 | + | 0.758808i | ||||
\(636\) | 1.33745e7 | − | 4.12548e6i | 1.31109 | − | 0.404419i | ||||
\(637\) | −7.82468e6 | − | 3.76817e6i | −0.764044 | − | 0.367944i | ||||
\(638\) | −2.23636e6 | − | 3.87348e6i | −0.217515 | − | 0.376747i | ||||
\(639\) | −1.63617e7 | + | 2.83393e7i | −1.58517 | + | 2.74560i | ||||
\(640\) | −6.45992e6 | + | 4.40430e6i | −0.623415 | + | 0.425037i | ||||
\(641\) | 390553. | + | 1.71112e6i | 0.0375435 | + | 0.164489i | 0.990224 | − | 0.139483i | \(-0.0445442\pi\) |
−0.952681 | + | 0.303972i | \(0.901687\pi\) | |||||||
\(642\) | 2.33373e6 | − | 351753.i | 0.223467 | − | 0.0336822i | ||||
\(643\) | 144286. | − | 180928.i | 0.0137624 | − | 0.0172576i | −0.774903 | − | 0.632081i | \(-0.782201\pi\) |
0.788665 | + | 0.614823i | \(0.210773\pi\) | |||||||
\(644\) | −2.34044e6 | −0.222374 | ||||||||
\(645\) | −1.91389e7 | + | 2.67985e7i | −1.81142 | + | 2.53636i | ||||
\(646\) | −2.22290e6 | −0.209575 | ||||||||
\(647\) | 7.52280e6 | − | 9.43329e6i | 0.706511 | − | 0.885937i | −0.290980 | − | 0.956729i | \(-0.593981\pi\) |
0.997491 | + | 0.0707925i | \(0.0225528\pi\) | |||||||
\(648\) | −2.77573e7 | + | 4.18374e6i | −2.59681 | + | 0.391406i | ||||
\(649\) | 1.09572e6 | + | 4.80067e6i | 0.102115 | + | 0.447394i | ||||
\(650\) | 1.30224e7 | − | 8.87855e6i | 1.20895 | − | 0.824250i | ||||
\(651\) | 2.65214e6 | − | 4.59364e6i | 0.245270 | − | 0.424819i | ||||
\(652\) | 3.10335e6 | + | 5.37515e6i | 0.285898 | + | 0.495190i | ||||
\(653\) | −2.05508e6 | − | 989676.i | −0.188602 | − | 0.0908260i | 0.337200 | − | 0.941433i | \(-0.390520\pi\) |
−0.525802 | + | 0.850607i | \(0.676235\pi\) | |||||||
\(654\) | −1.07153e7 | + | 3.30525e6i | −0.979630 | + | 0.302176i | ||||
\(655\) | 83135.8 | − | 1.10937e6i | 0.00757155 | − | 0.101035i | ||||
\(656\) | −166579. | + | 729829.i | −0.0151133 | + | 0.0662158i | ||||
\(657\) | 538252. | + | 1.37144e6i | 0.0486488 | + | 0.123955i | ||||
\(658\) | 235642. | + | 3.14443e6i | 0.0212172 | + | 0.283124i | ||||
\(659\) | −1.87399e7 | − | 2.82459e6i | −1.68095 | − | 0.253362i | −0.761954 | − | 0.647631i | \(-0.775760\pi\) |
−0.918995 | + | 0.394269i | \(0.870998\pi\) | |||||||
\(660\) | 1.81633e7 | − | 1.68531e7i | 1.62306 | − | 1.50598i | ||||
\(661\) | 1.40640e7 | − | 6.77286e6i | 1.25200 | − | 0.602932i | 0.313953 | − | 0.949438i | \(-0.398346\pi\) |
0.938048 | + | 0.346507i | \(0.112632\pi\) | |||||||
\(662\) | 4.45190e6 | + | 3.03525e6i | 0.394821 | + | 0.269184i | ||||
\(663\) | 1.02334e7 | − | 2.60742e7i | 0.904139 | − | 2.30371i | ||||
\(664\) | 1.31711e7 | + | 4.06275e6i | 1.15932 | + | 0.357602i | ||||
\(665\) | −2.21453e6 | − | 2.05478e6i | −0.194190 | − | 0.180182i | ||||
\(666\) | 3.42958e6 | + | 4.30055e6i | 0.299609 | + | 0.375698i | ||||
\(667\) | 2.68149e6 | + | 3.36248e6i | 0.233378 | + | 0.292647i | ||||
\(668\) | 1.14578e6 | + | 1.06313e6i | 0.0993479 | + | 0.0921814i | ||||
\(669\) | 1.26447e7 | + | 3.90036e6i | 1.09230 | + | 0.336930i | ||||
\(670\) | −3.61495e6 | + | 9.21073e6i | −0.311111 | + | 0.792697i | ||||
\(671\) | −1.65872e7 | − | 1.13090e7i | −1.42222 | − | 0.969653i | ||||
\(672\) | 1.02175e7 | − | 4.92048e6i | 0.872813 | − | 0.420324i | ||||
\(673\) | −1.04384e7 | + | 9.68538e6i | −0.888371 | + | 0.824288i | −0.985270 | − | 0.171006i | \(-0.945298\pi\) |
0.0968987 | + | 0.995294i | \(0.469108\pi\) | |||||||
\(674\) | 2.09509e6 | + | 315784.i | 0.177645 | + | 0.0267757i | ||||
\(675\) | −4.31990e6 | − | 5.76450e7i | −0.364934 | − | 4.86970i | ||||
\(676\) | −1.14728e6 | − | 2.92323e6i | −0.0965615 | − | 0.246035i | ||||
\(677\) | −309143. | + | 1.35444e6i | −0.0259231 | + | 0.113577i | −0.986234 | − | 0.165355i | \(-0.947123\pi\) |
0.960311 | + | 0.278931i | \(0.0899802\pi\) | |||||||
\(678\) | 661457. | − | 8.82653e6i | 0.0552621 | − | 0.737422i | ||||
\(679\) | 6.30024e6 | − | 1.94337e6i | 0.524424 | − | 0.161763i | ||||
\(680\) | 2.07372e7 | + | 9.98649e6i | 1.71980 | + | 0.828211i | ||||
\(681\) | 918077. | + | 1.59016e6i | 0.0758597 | + | 0.131393i | ||||
\(682\) | −2.45970e6 | + | 4.26033e6i | −0.202498 | + | 0.350737i | ||||
\(683\) | 1.83850e7 | − | 1.25347e7i | 1.50803 | − | 1.02816i | 0.523688 | − | 0.851910i | \(-0.324556\pi\) |
0.984345 | − | 0.176250i | \(-0.0563967\pi\) | |||||||
\(684\) | 1.07323e6 | + | 4.70212e6i | 0.0877106 | + | 0.384285i | ||||
\(685\) | −3.72435e7 | + | 5.61356e6i | −3.03266 | + | 0.457100i | ||||
\(686\) | −4.75023e6 | + | 5.95661e6i | −0.385394 | + | 0.483269i | ||||
\(687\) | 3.55479e7 | 2.87357 | ||||||||
\(688\) | 1.24293e6 | − | 947663.i | 0.100109 | − | 0.0763278i | ||||
\(689\) | −1.99427e7 | −1.60043 | ||||||||
\(690\) | 1.16602e7 | − | 1.46214e7i | 0.932355 | − | 1.16914i | ||||
\(691\) | −3.47206e6 | + | 523328.i | −0.276625 | + | 0.0416945i | −0.285890 | − | 0.958263i | \(-0.592289\pi\) |
0.00926447 | + | 0.999957i | \(0.497051\pi\) | |||||||
\(692\) | −1.54563e6 | − | 6.77186e6i | −0.122699 | − | 0.537579i | ||||
\(693\) | −1.77763e7 | + | 1.21197e7i | −1.40607 | + | 0.958643i | ||||
\(694\) | 2.98037e6 | − | 5.16216e6i | 0.234894 | − | 0.406849i | ||||
\(695\) | −7.05741e6 | − | 1.22238e7i | −0.554221 | − | 0.959940i | ||||
\(696\) | −1.14420e7 | − | 5.51019e6i | −0.895324 | − | 0.431165i | ||||
\(697\) | −7.26590e6 | + | 2.24123e6i | −0.566509 | + | 0.174745i | ||||
\(698\) | 530203. | − | 7.07507e6i | 0.0411911 | − | 0.549657i | ||||
\(699\) | 7.91770e6 | − | 3.46897e7i | 0.612923 | − | 2.68539i | ||||
\(700\) | 2.64768e6 | + | 6.74618e6i | 0.204230 | + | 0.520371i | ||||
\(701\) | −145886. | − | 1.94671e6i | −0.0112129 | − | 0.149626i | −1.00000 | 0.000293278i | \(-0.999907\pi\) | |
0.988787 | − | 0.149332i | \(-0.0477124\pi\) | |||||||
\(702\) | 2.78891e7 | + | 4.20360e6i | 2.13595 | + | 0.321943i | ||||
\(703\) | 818316. | − | 759287.i | 0.0624501 | − | 0.0579452i | ||||
\(704\) | −1.13673e7 | + | 5.47423e6i | −0.864425 | + | 0.416285i | ||||
\(705\) | 2.65217e7 | + | 1.80822e7i | 2.00969 | + | 1.37018i | ||||
\(706\) | −3.83411e6 | + | 9.76916e6i | −0.289503 | + | 0.737642i | ||||
\(707\) | −9.14789e6 | − | 2.82175e6i | −0.688292 | − | 0.212310i | ||||
\(708\) | 3.68019e6 | + | 3.41472e6i | 0.275923 | + | 0.256019i | ||||
\(709\) | 5.52077e6 | + | 6.92283e6i | 0.412462 | + | 0.517212i | 0.944055 | − | 0.329789i | \(-0.106978\pi\) |
−0.531592 | + | 0.847000i | \(0.678406\pi\) | |||||||
\(710\) | 1.20838e7 | + | 1.51527e7i | 0.899621 | + | 1.12809i | ||||
\(711\) | 1.00488e7 | + | 9.32392e6i | 0.745487 | + | 0.691711i | ||||
\(712\) | −2.16944e7 | − | 6.69184e6i | −1.60379 | − | 0.494704i | ||||
\(713\) | 1.72817e6 | − | 4.40330e6i | 0.127310 | − | 0.324380i | ||||
\(714\) | −8.35305e6 | − | 5.69502e6i | −0.613197 | − | 0.418070i | ||||
\(715\) | −3.18085e7 | + | 1.53181e7i | −2.32690 | + | 1.12058i | ||||
\(716\) | 4.41462e6 | − | 4.09617e6i | 0.321818 | − | 0.298604i | ||||
\(717\) | −4.25089e6 | − | 640719.i | −0.308804 | − | 0.0465446i | ||||
\(718\) | −334887. | − | 4.46875e6i | −0.0242430 | − | 0.323501i | ||||
\(719\) | 2.85658e6 | + | 7.27845e6i | 0.206075 | + | 0.525070i | 0.996123 | − | 0.0879753i | \(-0.0280397\pi\) |
−0.790048 | + | 0.613045i | \(0.789944\pi\) | |||||||
\(720\) | −1.60040e6 | + | 7.01182e6i | −0.115053 | + | 0.504080i | ||||
\(721\) | 45178.5 | − | 602866.i | 0.00323664 | − | 0.0431899i | ||||
\(722\) | 8.14176e6 | − | 2.51140e6i | 0.581266 | − | 0.179297i | ||||
\(723\) | −8476.02 | − | 4081.84i | −0.000603040 | − | 0.000290409i | ||||
\(724\) | 3.15738e6 | + | 5.46874e6i | 0.223862 | + | 0.387740i | ||||
\(725\) | 6.65863e6 | − | 1.15331e7i | 0.470479 | − | 0.814893i | ||||
\(726\) | 8.78022e6 | − | 5.98625e6i | 0.618250 | − | 0.421516i | ||||
\(727\) | 5.96261e6 | + | 2.61239e7i | 0.418408 | + | 1.83317i | 0.541409 | + | 0.840760i | \(0.317891\pi\) |
−0.123000 | + | 0.992407i | \(0.539252\pi\) | |||||||
\(728\) | −9.73732e6 | + | 1.46767e6i | −0.680944 | + | 0.102636i | ||||
\(729\) | 1.09564e7 | − | 1.37389e7i | 0.763570 | − | 0.957487i | ||||
\(730\) | 872578. | 0.0606034 | ||||||||
\(731\) | 1.46484e7 | + | 6.12051e6i | 1.01391 | + | 0.423637i | ||||
\(732\) | −2.04679e7 | −1.41187 | ||||||||
\(733\) | 4.78250e6 | − | 5.99707e6i | 0.328772 | − | 0.412267i | −0.589782 | − | 0.807563i | \(-0.700786\pi\) |
0.918554 | + | 0.395295i | \(0.129358\pi\) | |||||||
\(734\) | 966642. | − | 145698.i | 0.0662255 | − | 0.00998189i | ||||
\(735\) | 7.10043e6 | + | 3.11090e7i | 0.484804 | + | 2.12407i | ||||
\(736\) | 8.35605e6 | − | 5.69706e6i | 0.568600 | − | 0.387665i | ||||
\(737\) | 7.15051e6 | − | 1.23850e7i | 0.484918 | − | 0.839902i | ||||
\(738\) | −6.47494e6 | − | 1.12149e7i | −0.437618 | − | 0.757976i | ||||
\(739\) | −2.24533e7 | − | 1.08129e7i | −1.51241 | − | 0.728337i | −0.520329 | − | 0.853966i | \(-0.674191\pi\) |
−0.992077 | + | 0.125629i | \(0.959905\pi\) | |||||||
\(740\) | −3.96600e6 | + | 1.22335e6i | −0.266240 | + | 0.0821242i | ||||
\(741\) | 723488. | − | 9.65428e6i | 0.0484045 | − | 0.645914i | ||||
\(742\) | −1.60168e6 | + | 7.01740e6i | −0.106798 | + | 0.467915i | ||||
\(743\) | 2.85250e6 | + | 7.26804e6i | 0.189563 | + | 0.482998i | 0.993783 | − | 0.111333i | \(-0.0355121\pi\) |
−0.804220 | + | 0.594331i | \(0.797417\pi\) | |||||||
\(744\) | 1.04383e6 | + | 1.39290e7i | 0.0691350 | + | 0.922543i | ||||
\(745\) | 4.54234e7 | + | 6.84648e6i | 2.99840 | + | 0.451936i | ||||
\(746\) | −3.42763e6 | + | 3.18037e6i | −0.225500 | + | 0.209234i | ||||
\(747\) | −3.94152e7 | + | 1.89814e7i | −2.58441 | + | 1.24459i | ||||
\(748\) | −9.86943e6 | − | 6.72887e6i | −0.644968 | − | 0.439732i | ||||
\(749\) | 564910. | − | 1.43937e6i | 0.0367938 | − | 0.0937491i | ||||
\(750\) | −2.49110e7 | − | 7.68401e6i | −1.61710 | − | 0.498810i | ||||
\(751\) | 1.80500e7 | + | 1.67480e7i | 1.16782 | + | 1.08358i | 0.995126 | + | 0.0986076i | \(0.0314389\pi\) |
0.172698 | + | 0.984975i | \(0.444752\pi\) | |||||||
\(752\) | −949893. | − | 1.19113e6i | −0.0612534 | − | 0.0768093i | ||||
\(753\) | −1.66746e7 | − | 2.09093e7i | −1.07169 | − | 1.34385i | ||||
\(754\) | 4.76304e6 | + | 4.41945e6i | 0.305109 | + | 0.283100i | ||||
\(755\) | 3.62383e7 | + | 1.11780e7i | 2.31367 | + | 0.713672i | ||||
\(756\) | −4.73795e6 | + | 1.20721e7i | −0.301499 | + | 0.768207i | ||||
\(757\) | −4.34036e6 | − | 2.95921e6i | −0.275287 | − | 0.187688i | 0.417805 | − | 0.908537i | \(-0.362800\pi\) |
−0.693092 | + | 0.720849i | \(0.743752\pi\) | |||||||
\(758\) | 1.44821e7 | − | 6.97423e6i | 0.915503 | − | 0.440883i | ||||
\(759\) | −1.98140e7 | + | 1.83847e7i | −1.24844 | + | 1.15839i | ||||
\(760\) | 7.86642e6 | + | 1.18567e6i | 0.494019 | + | 0.0744613i | ||||
\(761\) | 336287. | + | 4.48743e6i | 0.0210498 | + | 0.280890i | 0.997789 | + | 0.0664598i | \(0.0211704\pi\) |
−0.976739 | + | 0.214430i | \(0.931211\pi\) | |||||||
\(762\) | 3.26730e6 | + | 8.32495e6i | 0.203846 | + | 0.519391i | ||||
\(763\) | −1.63480e6 | + | 7.16254e6i | −0.101661 | + | 0.445406i | ||||
\(764\) | 1.13340e6 | − | 1.51241e7i | 0.0702503 | − | 0.937425i | ||||
\(765\) | −6.98070e7 | + | 2.15326e7i | −4.31266 | + | 1.33028i | ||||
\(766\) | −5.75923e6 | − | 2.77350e6i | −0.354644 | − | 0.170787i | ||||
\(767\) | −3.57666e6 | − | 6.19496e6i | −0.219528 | − | 0.380233i | ||||
\(768\) | −1.60019e7 | + | 2.77161e7i | −0.978968 | + | 1.69562i | ||||
\(769\) | 1.58453e7 | − | 1.08031e7i | 0.966237 | − | 0.658769i | 0.0261334 | − | 0.999658i | \(-0.491681\pi\) |
0.940103 | + | 0.340889i | \(0.110728\pi\) | |||||||
\(770\) | 2.83546e6 | + | 1.24229e7i | 0.172344 | + | 0.755088i | ||||
\(771\) | −1.92762e7 | + | 2.90542e6i | −1.16785 | + | 0.176024i | ||||
\(772\) | 4.40891e6 | − | 5.52860e6i | 0.266249 | − | 0.333866i | ||||
\(773\) | −8.42313e6 | −0.507020 | −0.253510 | − | 0.967333i | \(-0.581585\pi\) | ||||
−0.253510 | + | 0.967333i | \(0.581585\pi\) | |||||||
\(774\) | −4.61110e6 | + | 2.66418e7i | −0.276664 | + | 1.59849i | ||||
\(775\) | −1.46473e7 | −0.875996 | ||||||||
\(776\) | −1.08251e7 | + | 1.35742e7i | −0.645323 | + | 0.809209i | ||||
\(777\) | 5.02028e6 | − | 756685.i | 0.298315 | − | 0.0449638i | ||||
\(778\) | 3.81236e6 | + | 1.67030e7i | 0.225811 | + | 0.989342i | ||||
\(779\) | −2.17143e6 | + | 1.48046e6i | −0.128204 | + | 0.0874083i | ||||
\(780\) | −1.79974e7 | + | 3.11723e7i | −1.05919 | + | 1.83456i | ||||
\(781\) | −1.40058e7 | − | 2.42588e7i | −0.821641 | − | 1.42312i | ||||
\(782\) | −8.12289e6 | − | 3.91178e6i | −0.475000 | − | 0.228748i | ||||
\(783\) | 2.27721e7 | − | 7.02428e6i | 1.32739 | − | 0.409446i | ||||
\(784\) | 113177. | − | 1.51024e6i | 0.00657610 | − | 0.0877520i | ||||
\(785\) | 7.35654e6 | − | 3.22311e7i | 0.426088 | − | 1.86681i | ||||
\(786\) | −470110. | − | 1.19782e6i | −0.0271421 | − | 0.0691569i | ||||
\(787\) | 2.07997e6 | + | 2.77552e7i | 0.119707 | + | 1.59738i | 0.656939 | + | 0.753944i | \(0.271851\pi\) |
−0.537232 | + | 0.843434i | \(0.680530\pi\) | |||||||
\(788\) | 1.01478e7 | + | 1.52954e6i | 0.582181 | + | 0.0877497i | ||||
\(789\) | 840935. | − | 780274.i | 0.0480917 | − | 0.0446226i | ||||
\(790\) | 7.31486e6 | − | 3.52265e6i | 0.417002 | − | 0.200818i | ||||
\(791\) | −4.79142e6 | − | 3.26673e6i | −0.272284 | − | 0.185640i | ||||
\(792\) | 2.06986e7 | − | 5.27393e7i | 1.17254 | − | 2.98759i | ||||
\(793\) | 2.78682e7 | + | 8.59621e6i | 1.57372 | + | 0.485427i | ||||
\(794\) | −539064. | − | 500178.i | −0.0303451 | − | 0.0281562i | ||||
\(795\) | 4.56847e7 | + | 5.72869e7i | 2.56362 | + | 3.21468i | ||||
\(796\) | −2.50327e6 | − | 3.13901e6i | −0.140032 | − | 0.175594i | ||||
\(797\) | −1.16158e7 | − | 1.07779e7i | −0.647742 | − | 0.601016i | 0.286317 | − | 0.958135i | \(-0.407569\pi\) |
−0.934059 | + | 0.357118i | \(0.883759\pi\) | |||||||
\(798\) | −3.33902e6 | − | 1.02995e6i | −0.185614 | − | 0.0572545i | ||||
\(799\) | 5.65354e6 | − | 1.44050e7i | 0.313295 | − | 0.798263i | ||||
\(800\) | −2.58744e7 | − | 1.76409e7i | −1.42937 | − | 0.974530i | ||||
\(801\) | 6.49217e7 | − | 3.12646e7i | 3.57527 | − | 1.72176i | ||||
\(802\) | 1.08518e7 | − | 1.00690e7i | 0.595755 | − | 0.552780i | ||||
\(803\) | −1.24707e6 | − | 187965.i | −0.0682497 | − | 0.0102870i | ||||
\(804\) | −1.08960e6 | − | 1.45397e7i | −0.0594468 | − | 0.793262i | ||||
\(805\) | −4.47637e6 | − | 1.14056e7i | −0.243465 | − | 0.620338i | ||||
\(806\) | 1.59024e6 | − | 6.96728e6i | 0.0862231 | − | 0.377768i | ||||
\(807\) | 3.89070e6 | − | 5.19178e7i | 0.210302 | − | 2.80629i | ||||
\(808\) | 2.40896e7 | − | 7.43066e6i | 1.29808 | − | 0.400404i | ||||
\(809\) | −1.72470e7 | − | 8.30570e6i | −0.926491 | − | 0.446175i | −0.0911072 | − | 0.995841i | \(-0.529041\pi\) |
−0.835384 | + | 0.549666i | \(0.814755\pi\) | |||||||
\(810\) | −2.63838e7 | − | 4.56982e7i | −1.41295 | − | 2.44729i | ||||
\(811\) | −8.20731e6 | + | 1.42155e7i | −0.438176 | + | 0.758943i | −0.997549 | − | 0.0699729i | \(-0.977709\pi\) |
0.559373 | + | 0.828916i | \(0.311042\pi\) | |||||||
\(812\) | −2.46851e6 | + | 1.68300e6i | −0.131385 | + | 0.0895765i | ||||
\(813\) | −9.24824e6 | − | 4.05192e7i | −0.490719 | − | 2.14998i | ||||
\(814\) | −4.65601e6 | + | 701781.i | −0.246293 | + | 0.0371228i | ||||
\(815\) | −2.02590e7 | + | 2.54040e7i | −1.06838 | + | 1.33970i | ||||
\(816\) | 4.88458e6 | 0.256804 | ||||||||
\(817\) | 5.46159e6 | + | 529128.i | 0.286262 | + | 0.0277335i | ||||
\(818\) | −1.15425e7 | −0.603140 | ||||||||
\(819\) | 1.94869e7 | − | 2.44358e7i | 1.01516 | − | 1.27297i | ||||
\(820\) | 9.66197e6 | − | 1.45631e6i | 0.501800 | − | 0.0756342i | ||||
\(821\) | 4.70660e6 | + | 2.06210e7i | 0.243697 | + | 1.06771i | 0.937621 | + | 0.347658i | \(0.113023\pi\) |
−0.693925 | + | 0.720048i | \(0.744120\pi\) | |||||||
\(822\) | −3.59951e7 | + | 2.45410e7i | −1.85808 | + | 1.26681i | ||||
\(823\) | −1.37503e7 | + | 2.38161e7i | −0.707638 | + | 1.22567i | 0.258093 | + | 0.966120i | \(0.416906\pi\) |
−0.965731 | + | 0.259545i | \(0.916427\pi\) | |||||||
\(824\) | 796004. | + | 1.37872e6i | 0.0408411 | + | 0.0707388i | ||||
\(825\) | 7.54080e7 | + | 3.63146e7i | 3.85729 | + | 1.85757i | ||||
\(826\) | −2.46712e6 | + | 761007.i | −0.125817 | + | 0.0388095i | ||||
\(827\) | −2.14994e6 | + | 2.86889e7i | −0.109311 | + | 1.45865i | 0.625420 | + | 0.780288i | \(0.284928\pi\) |
−0.734730 | + | 0.678359i | \(0.762691\pi\) | |||||||
\(828\) | −4.35284e6 | + | 1.90710e7i | −0.220647 | + | 0.966716i | ||||
\(829\) | −5.67476e6 | − | 1.44591e7i | −0.286788 | − | 0.730724i | −0.999570 | − | 0.0293380i | \(-0.990660\pi\) |
0.712781 | − | 0.701386i | \(-0.247435\pi\) | |||||||
\(830\) | 1.93627e6 | + | 2.58378e7i | 0.0975599 | + | 1.30185i | ||||
\(831\) | 3.55934e7 | + | 5.36485e6i | 1.78800 | + | 0.269498i | ||||
\(832\) | 1.34358e7 | − | 1.24666e7i | 0.672905 | − | 0.624365i | ||||
\(833\) | 1.38596e7 | − | 6.67442e6i | 0.692050 | − | 0.333274i | ||||
\(834\) | −1.34893e7 | − | 9.19685e6i | −0.671544 | − | 0.457851i | ||||
\(835\) | −2.98946e6 | + | 7.61702e6i | −0.148380 | + | 0.378067i | ||||
\(836\) | −3.94517e6 | − | 1.21692e6i | −0.195232 | − | 0.0602210i | ||||
\(837\) | −1.92139e7 | − | 1.78279e7i | −0.947987 | − | 0.879604i | ||||
\(838\) | −1.33249e7 | − | 1.67090e7i | −0.655474 | − | 0.821938i | ||||
\(839\) | 689170. | + | 864192.i | 0.0338004 | + | 0.0423843i | 0.798444 | − | 0.602069i | \(-0.205657\pi\) |
−0.764644 | + | 0.644453i | \(0.777085\pi\) | |||||||
\(840\) | 2.65222e7 | + | 2.46090e7i | 1.29691 | + | 1.20336i | ||||
\(841\) | −1.43537e7 | − | 4.42754e6i | −0.699802 | − | 0.215860i | ||||
\(842\) | 4.92451e6 | − | 1.25474e7i | 0.239377 | − | 0.609923i | ||||
\(843\) | 1.96996e7 | + | 1.34309e7i | 0.954745 | + | 0.650934i | ||||
\(844\) | −6.03603e6 | + | 2.90680e6i | −0.291672 | + | 0.140462i | ||||
\(845\) | 1.20514e7 | − | 1.11820e7i | 0.580623 | − | 0.538739i | ||||
\(846\) | 2.60606e7 | + | 3.92800e6i | 1.25187 | + | 0.188689i | ||||
\(847\) | −520293. | − | 6.94282e6i | −0.0249195 | − | 0.332528i | ||||
\(848\) | −1.27054e6 | − | 3.23729e6i | −0.0606736 | − | 0.154594i | ||||
\(849\) | −1.83728e6 | + | 8.04964e6i | −0.0874793 | + | 0.383272i | ||||
\(850\) | −2.08625e6 | + | 2.78390e7i | −0.0990417 | + | 1.32162i | ||||
\(851\) | 4.32644e6 | − | 1.33453e6i | 0.204789 | − | 0.0631691i | ||||
\(852\) | −2.57309e7 | − | 1.23914e7i | −1.21438 | − | 0.584817i | ||||
\(853\) | −4.78403e6 | − | 8.28618e6i | −0.225124 | − | 0.389926i | 0.731233 | − | 0.682128i | \(-0.238945\pi\) |
−0.956357 | + | 0.292202i | \(0.905612\pi\) | |||||||
\(854\) | 5.26302e6 | − | 9.11581e6i | 0.246939 | − | 0.427711i | ||||
\(855\) | −2.08620e7 | + | 1.42235e7i | −0.975980 | + | 0.665412i | ||||
\(856\) | 906067. | + | 3.96974e6i | 0.0422645 | + | 0.185173i | ||||
\(857\) | −2.43670e7 | + | 3.67274e6i | −1.13331 | + | 0.170820i | −0.688800 | − | 0.724952i | \(-0.741862\pi\) |
−0.444515 | + | 0.895771i | \(0.646624\pi\) | |||||||
\(858\) | −2.54607e7 | + | 3.19267e7i | −1.18074 | + | 1.48060i | ||||
\(859\) | −2.81827e7 | −1.30317 | −0.651584 | − | 0.758577i | \(-0.725895\pi\) | ||||
−0.651584 | + | 0.758577i | \(0.725895\pi\) | |||||||
\(860\) | −1.74414e7 | − | 1.05828e7i | −0.804147 | − | 0.487929i | ||||
\(861\) | −1.19525e7 | −0.549481 | ||||||||
\(862\) | −1.72198e7 | + | 2.15929e7i | −0.789332 | + | 0.989791i | ||||
\(863\) | 3.14163e7 | − | 4.73524e6i | 1.43591 | − | 0.216429i | 0.615470 | − | 0.788160i | \(-0.288966\pi\) |
0.820441 | + | 0.571732i | \(0.193728\pi\) | |||||||
\(864\) | −1.24698e7 | − | 5.46339e7i | −0.568298 | − | 2.48988i | ||||
\(865\) | 3.00449e7 | − | 2.04842e7i | 1.36531 | − | 0.930849i | ||||
\(866\) | −1.78263e6 | + | 3.08760e6i | −0.0807730 | + | 0.139903i | ||||
\(867\) | 4.26246e6 | + | 7.38280e6i | 0.192581 | + | 0.333560i | ||||
\(868\) | 2.96060e6 | + | 1.42575e6i | 0.133377 | + | 0.0642310i | ||||
\(869\) | −1.12131e7 | + | 3.45877e6i | −0.503703 | + | 0.155372i | ||||
\(870\) | 1.78403e6 | − | 2.38062e7i | 0.0799104 | − | 1.06633i | ||||
\(871\) | −4.62292e6 | + | 2.02543e7i | −0.206476 | + | 0.904633i | ||||
\(872\) | −7.06809e6 | − | 1.80092e7i | −0.314782 | − | 0.802053i | ||||
\(873\) | −4.11806e6 | − | 5.49517e7i | −0.182876 | − | 2.44031i | ||||
\(874\) | −3.08133e6 | − | 464436.i | −0.136446 | − | 0.0205659i | ||||
\(875\) | −1.25203e7 | + | 1.16171e7i | −0.552832 | + | 0.512953i | ||||
\(876\) | −1.15847e6 | + | 557888.i | −0.0510062 | + | 0.0245633i | ||||
\(877\) | −6.11877e6 | − | 4.17171e6i | −0.268637 | − | 0.183153i | 0.421508 | − | 0.906825i | \(-0.361501\pi\) |
−0.690145 | + | 0.723671i | \(0.742453\pi\) | |||||||
\(878\) | 1.76473e6 | − | 4.49646e6i | 0.0772577 | − | 0.196849i | ||||
\(879\) | −3.68205e7 | − | 1.13576e7i | −1.60738 | − | 0.495810i | ||||
\(880\) | −4.51309e6 | − | 4.18753e6i | −0.196457 | − | 0.182285i | ||||
\(881\) | −1.73684e7 | − | 2.17793e7i | −0.753912 | − | 0.945376i | 0.245801 | − | 0.969320i | \(-0.420949\pi\) |
−0.999713 | + | 0.0239441i | \(0.992378\pi\) | |||||||
\(882\) | 1.63346e7 | + | 2.04830e7i | 0.707030 | + | 0.886588i | ||||
\(883\) | 4.65866e6 | + | 4.32260e6i | 0.201075 | + | 0.186571i | 0.774283 | − | 0.632839i | \(-0.218111\pi\) |
−0.573208 | + | 0.819410i | \(0.694301\pi\) | |||||||
\(884\) | 1.65817e7 | + | 5.11477e6i | 0.713671 | + | 0.220138i | ||||
\(885\) | −9.60204e6 | + | 2.44656e7i | −0.412102 | + | 1.05002i | ||||
\(886\) | 4.97149e6 | + | 3.38951e6i | 0.212766 | + | 0.145062i | ||||
\(887\) | 13718.8 | − | 6606.64i | 0.000585475 | − | 0.000281950i | −0.433591 | − | 0.901110i | \(-0.642754\pi\) |
0.434176 | + | 0.900828i | \(0.357039\pi\) | |||||||
\(888\) | −9.80052e6 | + | 9.09355e6i | −0.417077 | + | 0.386991i | ||||
\(889\) | 5.79382e6 | + | 873278.i | 0.245873 | + | 0.0370594i | ||||
\(890\) | −3.18928e6 | − | 4.25580e7i | −0.134964 | − | 1.80097i | ||||
\(891\) | 2.78631e7 | + | 7.09941e7i | 1.17581 | + | 2.99591i | ||||
\(892\) | −1.82414e6 | + | 7.99209e6i | −0.0767621 | + | 0.336317i | ||||
\(893\) | 399699. | − | 5.33361e6i | 0.0167728 | − | 0.223817i | ||||
\(894\) | 5.07727e7 | − | 1.56613e7i | 2.12465 | − | 0.655366i | ||||
\(895\) | 2.84052e7 | + | 1.36792e7i | 1.18533 | + | 0.570825i | ||||
\(896\) | 2.96246e6 | + | 5.13113e6i | 0.123277 | + | 0.213522i | ||||
\(897\) | 1.96330e7 | − | 3.40054e7i | 0.814715 | − | 1.41113i | ||||
\(898\) | −2.21640e7 | + | 1.51111e7i | −0.917184 | + | 0.625325i | ||||
\(899\) | −1.34366e6 | − | 5.88696e6i | −0.0554486 | − | 0.242936i | ||||
\(900\) | 5.98954e7 | − | 9.02777e6i | 2.46483 | − | 0.371513i | ||||
\(901\) | 2.20241e7 | − | 2.76173e7i | 0.903827 | − | 1.13336i | ||||
\(902\) | 1.10853e7 | 0.453659 | ||||||||
\(903\) | 1.91676e7 | + | 1.59808e7i | 0.782253 | + | 0.652196i | ||||
\(904\) | 1.52710e7 | 0.621507 | ||||||||
\(905\) | −2.06118e7 | + | 2.58463e7i | −0.836554 | + | 1.04901i | ||||
\(906\) | 4.33746e7 | − | 6.53767e6i | 1.75556 | − | 0.264608i | ||||
\(907\) | −8.41726e6 | − | 3.68784e7i | −0.339745 | − | 1.48852i | −0.799605 | − | 0.600527i | \(-0.794958\pi\) |
0.459860 | − | 0.887991i | \(-0.347900\pi\) | |||||||
\(908\) | −939851. | + | 640779.i | −0.0378307 | + | 0.0257925i | ||||
\(909\) | −4.00066e7 | + | 6.92934e7i | −1.60591 | + | 2.78152i | ||||
\(910\) | −9.25551e6 | − | 1.60310e7i | −0.370507 | − | 0.641737i | ||||
\(911\) | −1.17362e7 | − | 5.65186e6i | −0.468524 | − | 0.225629i | 0.184698 | − | 0.982795i | \(-0.440869\pi\) |
−0.653223 | + | 0.757166i | \(0.726583\pi\) | |||||||
\(912\) | 1.61327e6 | − | 497627.i | 0.0642272 | − | 0.0198115i | ||||
\(913\) | 2.79853e6 | − | 3.73438e7i | 0.111110 | − | 1.48266i | ||||
\(914\) | 4.76756e6 | − | 2.08881e7i | 0.188769 | − | 0.827052i | ||||
\(915\) | −3.91472e7 | − | 9.97455e7i | −1.54578 | − | 3.93859i | ||||
\(916\) | 1.64571e6 | + | 2.19605e7i | 0.0648060 | + | 0.864776i | ||||
\(917\) | −833634. | − | 125650.i | −0.0327380 | − | 0.00493446i | ||||
\(918\) | −3.66210e7 | + | 3.39793e7i | −1.43424 | + | 1.33078i | ||||
\(919\) | −1.83435e7 | + | 8.83376e6i | −0.716462 | + | 0.345030i | −0.756344 | − | 0.654175i | \(-0.773016\pi\) |
0.0398818 | + | 0.999204i | \(0.487302\pi\) | |||||||
\(920\) | 2.66588e7 | + | 1.81757e7i | 1.03842 | + | 0.707981i | ||||
\(921\) | −1.76958e7 | + | 4.50882e7i | −0.687419 | + | 1.75152i | ||||
\(922\) | 7.58100e6 | + | 2.33843e6i | 0.293697 | + | 0.0905934i | ||||
\(923\) | 2.98299e7 | + | 2.76781e7i | 1.15252 | + | 1.06938i | ||||
\(924\) | −1.17071e7 | − | 1.46803e7i | −0.451098 | − | 0.565659i | ||||
\(925\) | −8.74109e6 | − | 1.09610e7i | −0.335901 | − | 0.421206i | ||||
\(926\) | −1.32060e7 | − | 1.22534e7i | −0.506109 | − | 0.469601i | ||||
\(927\) | −4.82841e6 | − | 1.48937e6i | −0.184546 | − | 0.0569250i | ||||
\(928\) | 4.71656e6 | − | 1.20176e7i | 0.179786 | − | 0.458087i | ||||
\(929\) | −3.80915e6 | − | 2.59703e6i | −0.144807 | − | 0.0987275i | 0.488750 | − | 0.872424i | \(-0.337453\pi\) |
−0.633556 | + | 0.773697i | \(0.718406\pi\) | |||||||
\(930\) | −2.36569e7 | + | 1.13925e7i | −0.896912 | + | 0.431930i | ||||
\(931\) | 3.89754e6 | − | 3.61639e6i | 0.147372 | − | 0.136742i | ||||
\(932\) | 2.17969e7 | + | 3.28535e6i | 0.821968 | + | 0.123892i | ||||
\(933\) | 841339. | + | 1.12269e7i | 0.0316422 | + | 0.422236i | ||||
\(934\) | 1.81447e6 | + | 4.62320e6i | 0.0680586 | + | 0.173410i | ||||
\(935\) | 1.39151e7 | − | 6.09661e7i | 0.520544 | − | 2.28065i | ||||
\(936\) | −6.15060e6 | + | 8.20740e7i | −0.229471 | + | 3.06208i | ||||
\(937\) | −2.29360e7 | + | 7.07483e6i | −0.853433 | + | 0.263249i | −0.690450 | − | 0.723380i | \(-0.742588\pi\) |
−0.162983 | + | 0.986629i | \(0.552111\pi\) | |||||||
\(938\) | 6.75576e6 | + | 3.25340e6i | 0.250707 | + | 0.120734i | ||||
\(939\) | 1.90812e7 | + | 3.30497e7i | 0.706224 | + | 1.22322i | ||||
\(940\) | −9.94284e6 | + | 1.72215e7i | −0.367021 | + | 0.635699i | ||||
\(941\) | −1.21045e7 | + | 8.25274e6i | −0.445630 | + | 0.303825i | −0.765265 | − | 0.643715i | \(-0.777392\pi\) |
0.319635 | + | 0.947541i | \(0.396440\pi\) | |||||||
\(942\) | −8.50907e6 | − | 3.72807e7i | −0.312431 | − | 1.36885i | ||||
\(943\) | −1.05401e7 | + | 1.58866e6i | −0.385979 | + | 0.0581770i | ||||
\(944\) | 777756. | − | 975275.i | 0.0284062 | − | 0.0356203i | ||||
\(945\) | −6.78924e7 | −2.47310 | ||||||||
\(946\) | −1.77768e7 | − | 1.48212e7i | −0.645840 | − | 0.538463i | ||||
\(947\) | −3.21150e7 | −1.16368 | −0.581840 | − | 0.813304i | \(-0.697667\pi\) | ||||
−0.581840 | + | 0.813304i | \(0.697667\pi\) | |||||||
\(948\) | −7.45925e6 | + | 9.35361e6i | −0.269572 | + | 0.338032i | ||||
\(949\) | 1.81162e6 | − | 273058.i | 0.0652984 | − | 0.00984215i | ||||
\(950\) | 2.14712e6 | + | 9.40715e6i | 0.0771876 | + | 0.338181i | ||||
\(951\) | −2.56229e7 | + | 1.74694e7i | −0.918707 | + | 0.626364i | ||||
\(952\) | 8.72109e6 | − | 1.51054e7i | 0.311873 | − | 0.540180i | ||||
\(953\) | 1.78663e7 | + | 3.09454e7i | 0.637241 | + | 1.10373i | 0.986036 | + | 0.166534i | \(0.0532576\pi\) |
−0.348795 | + | 0.937199i | \(0.613409\pi\) | |||||||
\(954\) | 5.42023e7 | + | 2.61025e7i | 1.92818 | + | 0.928561i | ||||
\(955\) | 7.58716e7 | − | 2.34033e7i | 2.69197 | − | 0.830363i | ||||
\(956\) | 199021. | − | 2.65574e6i | 0.00704293 | − | 0.0939813i | ||||
\(957\) | −7.67787e6 | + | 3.36389e7i | −0.270995 | + | 1.18731i | ||||
\(958\) | 4.58512e6 | + | 1.16827e7i | 0.161413 | + | 0.411272i | ||||
\(959\) | 2.13297e6 | + | 2.84625e7i | 0.0748925 | + | 0.999371i | ||||
\(960\) | −6.65896e7 | − | 1.00368e7i | −2.33200 | − | 0.351492i | ||||
\(961\) | 1.61182e7 | − | 1.49555e7i | 0.562998 | − | 0.522386i | ||||
\(962\) | 6.16283e6 | − | 2.96786e6i | 0.214705 | − | 0.103396i | ||||
\(963\) | −1.06780e7 | − | 7.28015e6i | −0.371044 | − | 0.252973i | ||||
\(964\) | 2129.24 | − | 5425.22i | 7.37959e−5 | − | 0.000188029i | ||||
\(965\) | 3.53749e7 | + | 1.09117e7i | 1.22286 | + | 0.377203i | ||||
\(966\) | −1.03889e7 | − | 9.63951e6i | −0.358202 | − | 0.332363i | ||||
\(967\) | 2.89444e7 | + | 3.62951e7i | 0.995401 | + | 1.24819i | 0.968619 | + | 0.248552i | \(0.0799547\pi\) |
0.0267823 | + | 0.999641i | \(0.491474\pi\) | |||||||
\(968\) | 1.14312e7 | + | 1.43342e7i | 0.392104 | + | 0.491683i | ||||
\(969\) | 1.25705e7 | + | 1.16638e7i | 0.430075 | + | 0.399051i | ||||
\(970\) | −3.11873e7 | − | 9.62002e6i | −1.06426 | − | 0.328282i | ||||
\(971\) | 3.20609e6 | − | 8.16899e6i | 0.109126 | − | 0.278048i | −0.865871 | − | 0.500268i | \(-0.833235\pi\) |
0.974997 | + | 0.222220i | \(0.0713302\pi\) | |||||||
\(972\) | 2.76365e7 | + | 1.88423e7i | 0.938248 | + | 0.639687i | ||||
\(973\) | −9.63709e6 | + | 4.64098e6i | −0.326335 | + | 0.157155i | ||||
\(974\) | −1.50112e7 | + | 1.39284e7i | −0.507012 | + | 0.470438i | ||||
\(975\) | −1.20229e8 | − | 1.81215e7i | −4.05038 | − | 0.610497i | ||||
\(976\) | 380056. | + | 5.07149e6i | 0.0127709 | + | 0.170416i | ||||
\(977\) | −1.91673e7 | − | 4.88376e7i | −0.642429 | − | 1.63688i | −0.764700 | − | 0.644387i | \(-0.777113\pi\) |
0.122270 | − | 0.992497i | \(-0.460982\pi\) | |||||||
\(978\) | −8.36313e6 | + | 3.66413e7i | −0.279590 | + | 1.22496i | ||||
\(979\) | −4.60952e6 | + | 6.15098e7i | −0.153709 | + | 2.05110i | ||||
\(980\) | −1.88896e7 | + | 5.82666e6i | −0.628285 | + | 0.193800i | ||||
\(981\) | 5.53234e7 | + | 2.66423e7i | 1.83542 | + | 0.883893i | ||||
\(982\) | −2.44928e6 | − | 4.24228e6i | −0.0810513 | − | 0.140385i | ||||
\(983\) | 6.19565e6 | − | 1.07312e7i | 0.204505 | − | 0.354212i | −0.745470 | − | 0.666539i | \(-0.767775\pi\) |
0.949975 | + | 0.312327i | \(0.101108\pi\) | |||||||
\(984\) | 2.60061e7 | − | 1.77306e7i | 0.856223 | − | 0.583763i | ||||
\(985\) | 1.19551e7 | + | 5.23785e7i | 0.392610 | + | 1.72014i | ||||
\(986\) | −1.13803e7 | + | 1.71531e6i | −0.372788 | + | 0.0561887i | ||||
\(987\) | 1.51665e7 | − | 1.90182e7i | 0.495557 | − | 0.621408i | ||||
\(988\) | 5.99764e6 | 0.195474 | ||||||||
\(989\) | 1.90265e7 | + | 1.15446e7i | 0.618541 | + | 0.375309i | ||||
\(990\) | 1.06502e8 | 3.45357 | ||||||||
\(991\) | 2.72585e7 | − | 3.41811e7i | 0.881695 | − | 1.10561i | −0.112024 | − | 0.993705i | \(-0.535733\pi\) |
0.993719 | − | 0.111905i | \(-0.0356951\pi\) | |||||||
\(992\) | −1.40407e7 | + | 2.11630e6i | −0.453013 | + | 0.0682808i | ||||
\(993\) | −9.24931e6 | − | 4.05239e7i | −0.297671 | − | 1.30418i | ||||
\(994\) | 1.21351e7 | − | 8.27355e6i | 0.389562 | − | 0.265599i | ||||
\(995\) | 1.05094e7 | − | 1.82028e7i | 0.336528 | − | 0.582883i | ||||
\(996\) | −1.90902e7 | − | 3.30652e7i | −0.609765 | − | 1.05614i | ||||
\(997\) | −5.11149e7 | − | 2.46157e7i | −1.62858 | − | 0.784284i | −0.999978 | − | 0.00655954i | \(-0.997912\pi\) |
−0.628605 | − | 0.777725i | \(-0.716374\pi\) | |||||||
\(998\) | −2.26179e7 | + | 6.97669e6i | −0.718829 | + | 0.221729i | ||||
\(999\) | 1.87481e6 | − | 2.50176e7i | 0.0594351 | − | 0.793106i |
(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.24.6 | yes | 204 | |
43.9 | even | 21 | inner | 43.6.g.a.9.6 | ✓ | 204 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
43.6.g.a.9.6 | ✓ | 204 | 43.9 | even | 21 | inner | |
43.6.g.a.24.6 | yes | 204 | 1.1 | even | 1 | trivial |