Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [27,6,Mod(4,27)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(27, base_ring=CyclotomicField(18))
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("27.4");
S:= CuspForms(chi, 6);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 27 = 3^{3} \) |
Weight: | \( k \) | \(=\) | \( 6 \) |
Character orbit: | \([\chi]\) | \(=\) | 27.e (of order \(9\), degree \(6\), 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: | \(4.33036313495\) |
Analytic rank: | \(0\) |
Dimension: | \(84\) |
Relative dimension: | \(14\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 4.5 | ||
Character | \(\chi\) | \(=\) | 27.4 |
Dual form | 27.6.e.a.7.5 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/27\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{1}{9}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −4.77365 | − | 1.73746i | −0.843869 | − | 0.307143i | −0.116331 | − | 0.993210i | \(-0.537113\pi\) |
−0.727538 | + | 0.686067i | \(0.759336\pi\) | |||||||
\(3\) | 11.5896 | + | 10.4250i | 0.743475 | + | 0.668764i | ||||
\(4\) | −4.74451 | − | 3.98112i | −0.148266 | − | 0.124410i | ||||
\(5\) | −2.77896 | + | 15.7603i | −0.0497116 | + | 0.281929i | −0.999523 | − | 0.0308958i | \(-0.990164\pi\) |
0.949811 | + | 0.312824i | \(0.101275\pi\) | |||||||
\(6\) | −37.2117 | − | 69.9018i | −0.421989 | − | 0.792703i | ||||
\(7\) | −95.3445 | + | 80.0035i | −0.735446 | + | 0.617112i | −0.931610 | − | 0.363459i | \(-0.881596\pi\) |
0.196165 | + | 0.980571i | \(0.437151\pi\) | |||||||
\(8\) | 97.0117 | + | 168.029i | 0.535919 | + | 0.928239i | ||||
\(9\) | 25.6389 | + | 241.644i | 0.105510 | + | 0.994418i | ||||
\(10\) | 40.6487 | − | 70.4057i | 0.128543 | − | 0.222642i | ||||
\(11\) | 98.9514 | + | 561.181i | 0.246570 | + | 1.39837i | 0.816818 | + | 0.576896i | \(0.195736\pi\) |
−0.570248 | + | 0.821473i | \(0.693153\pi\) | |||||||
\(12\) | −13.4840 | − | 95.6012i | −0.0270312 | − | 0.191651i | ||||
\(13\) | −475.626 | + | 173.114i | −0.780562 | + | 0.284101i | −0.701407 | − | 0.712761i | \(-0.747444\pi\) |
−0.0791548 | + | 0.996862i | \(0.525222\pi\) | |||||||
\(14\) | 594.144 | − | 216.251i | 0.810162 | − | 0.294875i | ||||
\(15\) | −196.508 | + | 153.685i | −0.225503 | + | 0.176362i | ||||
\(16\) | −136.739 | − | 775.484i | −0.133534 | − | 0.757309i | ||||
\(17\) | 401.110 | − | 694.743i | 0.336621 | − | 0.583045i | −0.647174 | − | 0.762342i | \(-0.724049\pi\) |
0.983795 | + | 0.179298i | \(0.0573826\pi\) | |||||||
\(18\) | 297.456 | − | 1198.07i | 0.216392 | − | 0.871566i | ||||
\(19\) | −992.540 | − | 1719.13i | −0.630760 | − | 1.09251i | −0.987397 | − | 0.158265i | \(-0.949410\pi\) |
0.356637 | − | 0.934243i | \(-0.383923\pi\) | |||||||
\(20\) | 75.9284 | − | 63.7115i | 0.0424453 | − | 0.0356158i | ||||
\(21\) | −1939.04 | − | 66.7548i | −0.959488 | − | 0.0330320i | ||||
\(22\) | 502.674 | − | 2850.81i | 0.221427 | − | 1.25577i | ||||
\(23\) | 2011.74 | + | 1688.05i | 0.792961 | + | 0.665373i | 0.946476 | − | 0.322773i | \(-0.104615\pi\) |
−0.153516 | + | 0.988146i | \(0.549060\pi\) | |||||||
\(24\) | −627.374 | + | 2958.74i | −0.222330 | + | 1.04853i | ||||
\(25\) | 2695.88 | + | 981.218i | 0.862680 | + | 0.313990i | ||||
\(26\) | 2571.25 | 0.745952 | ||||||||
\(27\) | −2221.99 | + | 3067.85i | −0.586587 | + | 0.809886i | ||||
\(28\) | 770.867 | 0.185817 | ||||||||
\(29\) | −2690.88 | − | 979.399i | −0.594154 | − | 0.216254i | 0.0274016 | − | 0.999625i | \(-0.491277\pi\) |
−0.621555 | + | 0.783370i | \(0.713499\pi\) | |||||||
\(30\) | 1205.08 | − | 392.213i | 0.244463 | − | 0.0795643i | ||||
\(31\) | −813.167 | − | 682.329i | −0.151976 | − | 0.127523i | 0.563629 | − | 0.826028i | \(-0.309405\pi\) |
−0.715605 | + | 0.698505i | \(0.753849\pi\) | |||||||
\(32\) | 383.504 | − | 2174.96i | 0.0662055 | − | 0.375470i | ||||
\(33\) | −4703.50 | + | 7535.45i | −0.751859 | + | 1.20455i | ||||
\(34\) | −3121.85 | + | 2619.54i | −0.463142 | + | 0.388623i | ||||
\(35\) | −995.920 | − | 1724.98i | −0.137421 | − | 0.238021i | ||||
\(36\) | 840.368 | − | 1248.55i | 0.108072 | − | 0.160565i | ||||
\(37\) | 5032.18 | − | 8715.99i | 0.604299 | − | 1.04668i | −0.387863 | − | 0.921717i | \(-0.626787\pi\) |
0.992162 | − | 0.124959i | \(-0.0398800\pi\) | |||||||
\(38\) | 1751.11 | + | 9931.02i | 0.196722 | + | 1.11567i | ||||
\(39\) | −7317.04 | − | 2952.08i | −0.770325 | − | 0.310789i | ||||
\(40\) | −2917.78 | + | 1061.99i | −0.288338 | + | 0.104947i | ||||
\(41\) | 7762.35 | − | 2825.26i | 0.721163 | − | 0.262482i | 0.0447437 | − | 0.998999i | \(-0.485753\pi\) |
0.676419 | + | 0.736517i | \(0.263531\pi\) | |||||||
\(42\) | 9140.32 | + | 3687.68i | 0.799537 | + | 0.322575i | ||||
\(43\) | 2897.00 | + | 16429.7i | 0.238934 | + | 1.35506i | 0.834168 | + | 0.551510i | \(0.185948\pi\) |
−0.595235 | + | 0.803552i | \(0.702941\pi\) | |||||||
\(44\) | 1764.65 | − | 3056.47i | 0.137413 | − | 0.238006i | ||||
\(45\) | −3879.62 | − | 267.442i | −0.285600 | − | 0.0196878i | ||||
\(46\) | −6670.40 | − | 11553.5i | −0.464790 | − | 0.805041i | ||||
\(47\) | −13414.2 | + | 11255.8i | −0.885767 | + | 0.743247i | −0.967357 | − | 0.253419i | \(-0.918445\pi\) |
0.0815894 | + | 0.996666i | \(0.474000\pi\) | |||||||
\(48\) | 6499.67 | − | 10413.1i | 0.407182 | − | 0.652343i | ||||
\(49\) | −228.496 | + | 1295.87i | −0.0135953 | + | 0.0771029i | ||||
\(50\) | −11164.3 | − | 9367.98i | −0.631549 | − | 0.529933i | ||||
\(51\) | 11891.4 | − | 3870.24i | 0.640188 | − | 0.208359i | ||||
\(52\) | 2945.80 | + | 1072.18i | 0.151076 | + | 0.0549871i | ||||
\(53\) | 15083.4 | 0.737583 | 0.368791 | − | 0.929512i | \(-0.379772\pi\) | ||||
0.368791 | + | 0.929512i | \(0.379772\pi\) | |||||||
\(54\) | 15937.3 | − | 10784.2i | 0.743754 | − | 0.503272i | ||||
\(55\) | −9119.36 | −0.406497 | ||||||||
\(56\) | −22692.5 | − | 8259.38i | −0.966967 | − | 0.351947i | ||||
\(57\) | 6418.75 | − | 30271.3i | 0.261676 | − | 1.23408i | ||||
\(58\) | 11143.6 | + | 9350.61i | 0.434967 | + | 0.364981i | ||||
\(59\) | 1364.75 | − | 7739.88i | 0.0510414 | − | 0.289470i | −0.948593 | − | 0.316498i | \(-0.897493\pi\) |
0.999635 | + | 0.0270274i | \(0.00860415\pi\) | |||||||
\(60\) | 1544.17 | + | 53.1608i | 0.0553756 | + | 0.00190640i | ||||
\(61\) | −26105.9 | + | 21905.5i | −0.898285 | + | 0.753751i | −0.969854 | − | 0.243685i | \(-0.921644\pi\) |
0.0715693 | + | 0.997436i | \(0.477199\pi\) | |||||||
\(62\) | 2696.25 | + | 4670.04i | 0.0890802 | + | 0.154291i | ||||
\(63\) | −21776.9 | − | 20988.2i | −0.691264 | − | 0.666229i | ||||
\(64\) | −18208.8 | + | 31538.5i | −0.555688 | + | 0.962480i | ||||
\(65\) | −1406.57 | − | 7977.08i | −0.0412933 | − | 0.234186i | ||||
\(66\) | 35545.4 | − | 27799.4i | 1.00444 | − | 0.785553i | ||||
\(67\) | 58480.9 | − | 21285.3i | 1.59157 | − | 0.579286i | 0.613895 | − | 0.789388i | \(-0.289602\pi\) |
0.977679 | + | 0.210102i | \(0.0673796\pi\) | |||||||
\(68\) | −4668.93 | + | 1699.35i | −0.122446 | + | 0.0445667i | ||||
\(69\) | 5717.39 | + | 40536.2i | 0.144569 | + | 1.02499i | ||||
\(70\) | 1757.07 | + | 9964.84i | 0.0428592 | + | 0.243066i | ||||
\(71\) | −5195.47 | + | 8998.81i | −0.122315 | + | 0.211855i | −0.920680 | − | 0.390318i | \(-0.872365\pi\) |
0.798365 | + | 0.602173i | \(0.205698\pi\) | |||||||
\(72\) | −38115.9 | + | 27750.3i | −0.866513 | + | 0.630866i | ||||
\(73\) | −11124.0 | − | 19267.3i | −0.244317 | − | 0.423170i | 0.717622 | − | 0.696433i | \(-0.245231\pi\) |
−0.961939 | + | 0.273263i | \(0.911897\pi\) | |||||||
\(74\) | −39165.6 | + | 32863.8i | −0.831429 | + | 0.697652i | ||||
\(75\) | 21015.0 | + | 39476.4i | 0.431396 | + | 0.810373i | ||||
\(76\) | −2134.94 | + | 12107.9i | −0.0423987 | + | 0.240455i | ||||
\(77\) | −54331.0 | − | 45589.1i | −1.04429 | − | 0.876263i | ||||
\(78\) | 29799.8 | + | 26805.3i | 0.554596 | + | 0.498866i | ||||
\(79\) | 80498.3 | + | 29299.0i | 1.45117 | + | 0.528184i | 0.942919 | − | 0.333023i | \(-0.108069\pi\) |
0.508254 | + | 0.861207i | \(0.330291\pi\) | |||||||
\(80\) | 12601.9 | 0.220145 | ||||||||
\(81\) | −57734.3 | + | 12391.0i | −0.977735 | + | 0.209842i | ||||
\(82\) | −41963.5 | −0.689187 | ||||||||
\(83\) | 30705.6 | + | 11175.9i | 0.489241 | + | 0.178069i | 0.574848 | − | 0.818260i | \(-0.305061\pi\) |
−0.0856079 | + | 0.996329i | \(0.527283\pi\) | |||||||
\(84\) | 8934.06 | + | 8036.28i | 0.138150 | + | 0.124267i | ||||
\(85\) | 9834.68 | + | 8252.27i | 0.147643 | + | 0.123887i | ||||
\(86\) | 14716.8 | − | 83463.1i | 0.214569 | − | 1.21688i | ||||
\(87\) | −20976.0 | − | 39403.3i | −0.297115 | − | 0.558128i | ||||
\(88\) | −84695.4 | + | 71067.9i | −1.16588 | + | 0.978288i | ||||
\(89\) | 58194.9 | + | 100797.i | 0.778772 | + | 1.34887i | 0.932650 | + | 0.360782i | \(0.117490\pi\) |
−0.153878 | + | 0.988090i | \(0.549176\pi\) | |||||||
\(90\) | 18055.3 | + | 8017.38i | 0.234962 | + | 0.104334i | ||||
\(91\) | 31498.6 | − | 54557.2i | 0.398738 | − | 0.690635i | ||||
\(92\) | −2824.39 | − | 16017.9i | −0.0347901 | − | 0.197304i | ||||
\(93\) | −2311.04 | − | 16385.2i | −0.0277076 | − | 0.196447i | ||||
\(94\) | 83591.2 | − | 30424.7i | 0.975755 | − | 0.355146i | ||||
\(95\) | 29852.2 | − | 10865.3i | 0.339365 | − | 0.123519i | ||||
\(96\) | 27118.6 | − | 21208.9i | 0.300323 | − | 0.234877i | ||||
\(97\) | −28342.1 | − | 160736.i | −0.305846 | − | 1.73454i | −0.619496 | − | 0.784999i | \(-0.712663\pi\) |
0.313651 | − | 0.949538i | \(-0.398448\pi\) | |||||||
\(98\) | 3342.29 | − | 5789.01i | 0.0351543 | − | 0.0608890i | ||||
\(99\) | −133069. | + | 38299.1i | −1.36455 | + | 0.392736i | ||||
\(100\) | −8884.27 | − | 15388.0i | −0.0888427 | − | 0.153880i | ||||
\(101\) | 13779.1 | − | 11562.0i | 0.134405 | − | 0.112779i | −0.573107 | − | 0.819481i | \(-0.694262\pi\) |
0.707512 | + | 0.706701i | \(0.249818\pi\) | |||||||
\(102\) | −63489.8 | − | 2185.74i | −0.604231 | − | 0.0208017i | ||||
\(103\) | 25408.3 | − | 144097.i | 0.235984 | − | 1.33833i | −0.604549 | − | 0.796568i | \(-0.706647\pi\) |
0.840532 | − | 0.541761i | \(-0.182242\pi\) | |||||||
\(104\) | −75229.4 | − | 63125.0i | −0.682032 | − | 0.572292i | ||||
\(105\) | 6440.61 | − | 30374.4i | 0.0570103 | − | 0.268865i | ||||
\(106\) | −72003.0 | − | 26207.0i | −0.622424 | − | 0.226544i | ||||
\(107\) | 200073. | 1.68938 | 0.844692 | − | 0.535253i | \(-0.179784\pi\) | ||||
0.844692 | + | 0.535253i | \(0.179784\pi\) | |||||||
\(108\) | 22755.7 | − | 5709.43i | 0.187729 | − | 0.0471014i | ||||
\(109\) | −117299. | −0.945645 | −0.472822 | − | 0.881158i | \(-0.656765\pi\) | ||||
−0.472822 | + | 0.881158i | \(0.656765\pi\) | |||||||
\(110\) | 43532.6 | + | 15844.6i | 0.343031 | + | 0.124853i | ||||
\(111\) | 149185. | − | 48554.6i | 1.14926 | − | 0.374044i | ||||
\(112\) | 75078.8 | + | 62998.6i | 0.565552 | + | 0.474554i | ||||
\(113\) | −38077.3 | + | 215947.i | −0.280524 | + | 1.59093i | 0.440325 | + | 0.897838i | \(0.354863\pi\) |
−0.720849 | + | 0.693092i | \(0.756248\pi\) | |||||||
\(114\) | −83236.2 | + | 133352.i | −0.599860 | + | 0.961032i | ||||
\(115\) | −32194.7 | + | 27014.5i | −0.227007 | + | 0.190482i | ||||
\(116\) | 8867.80 | + | 15359.5i | 0.0611886 | + | 0.105982i | ||||
\(117\) | −54026.4 | − | 110494.i | −0.364872 | − | 0.746229i | ||||
\(118\) | −19962.6 | + | 34576.2i | −0.131981 | + | 0.228598i | ||||
\(119\) | 17338.3 | + | 98330.1i | 0.112238 | + | 0.636531i | ||||
\(120\) | −44887.2 | − | 18109.8i | −0.284557 | − | 0.114805i | ||||
\(121\) | −153795. | + | 55976.7i | −0.954945 | + | 0.347571i | ||||
\(122\) | 162680. | − | 59210.8i | 0.989545 | − | 0.360165i | ||||
\(123\) | 119416. | + | 48178.7i | 0.711705 | + | 0.287139i | ||||
\(124\) | 1141.65 | + | 6474.63i | 0.00666776 | + | 0.0378147i | ||||
\(125\) | −47961.4 | + | 83071.5i | −0.274547 | + | 0.475529i | ||||
\(126\) | 67488.9 | + | 138027.i | 0.378709 | + | 0.774527i | ||||
\(127\) | −35495.3 | − | 61479.6i | −0.195282 | − | 0.338237i | 0.751711 | − | 0.659492i | \(-0.229229\pi\) |
−0.946993 | + | 0.321255i | \(0.895895\pi\) | |||||||
\(128\) | 87581.3 | − | 73489.4i | 0.472483 | − | 0.396460i | ||||
\(129\) | −137705. | + | 220616.i | −0.728575 | + | 1.16724i | ||||
\(130\) | −7145.41 | + | 40523.6i | −0.0370825 | + | 0.210305i | ||||
\(131\) | 80720.8 | + | 67732.8i | 0.410967 | + | 0.344843i | 0.824715 | − | 0.565549i | \(-0.191336\pi\) |
−0.413747 | + | 0.910392i | \(0.635780\pi\) | |||||||
\(132\) | 52315.4 | − | 17026.8i | 0.261333 | − | 0.0850549i | ||||
\(133\) | 232170. | + | 84502.9i | 1.13809 | + | 0.414231i | ||||
\(134\) | −316150. | −1.52100 | ||||||||
\(135\) | −42175.3 | − | 43544.6i | −0.199170 | − | 0.205636i | ||||
\(136\) | 155649. | 0.721606 | ||||||||
\(137\) | −198740. | − | 72335.5i | −0.904658 | − | 0.329268i | −0.152540 | − | 0.988297i | \(-0.548745\pi\) |
−0.752118 | + | 0.659029i | \(0.770968\pi\) | |||||||
\(138\) | 43137.4 | − | 203439.i | 0.192822 | − | 0.909363i | ||||
\(139\) | −90470.2 | − | 75913.5i | −0.397163 | − | 0.333259i | 0.422233 | − | 0.906487i | \(-0.361246\pi\) |
−0.819396 | + | 0.573228i | \(0.805691\pi\) | |||||||
\(140\) | −2142.21 | + | 12149.1i | −0.00923724 | + | 0.0523870i | ||||
\(141\) | −272807. | − | 9391.85i | −1.15560 | − | 0.0397835i | ||||
\(142\) | 40436.4 | − | 33930.2i | 0.168288 | − | 0.141210i | ||||
\(143\) | −144212. | − | 249783.i | −0.589741 | − | 1.02146i | ||||
\(144\) | 183885. | − | 52924.7i | 0.738993 | − | 0.212692i | ||||
\(145\) | 22913.5 | − | 39687.3i | 0.0905046 | − | 0.156759i | ||||
\(146\) | 19625.7 | + | 111303.i | 0.0761980 | + | 0.432141i | ||||
\(147\) | −16157.6 | + | 12636.6i | −0.0616714 | + | 0.0482320i | ||||
\(148\) | −58574.6 | + | 21319.4i | −0.219814 | + | 0.0800057i | ||||
\(149\) | 64234.2 | − | 23379.3i | 0.237029 | − | 0.0862714i | −0.220775 | − | 0.975325i | \(-0.570859\pi\) |
0.457803 | + | 0.889053i | \(0.348636\pi\) | |||||||
\(150\) | −31729.2 | − | 224959.i | −0.115141 | − | 0.816349i | ||||
\(151\) | 16791.8 | + | 95231.2i | 0.0599315 | + | 0.339889i | 0.999999 | − | 0.00109877i | \(-0.000349748\pi\) |
−0.940068 | + | 0.340987i | \(0.889239\pi\) | |||||||
\(152\) | 192576. | − | 333551.i | 0.676072 | − | 1.17099i | ||||
\(153\) | 178164. | + | 79113.2i | 0.615307 | + | 0.273225i | ||||
\(154\) | 180147. | + | 312024.i | 0.612105 | + | 1.06020i | ||||
\(155\) | 13013.5 | − | 10919.6i | 0.0435074 | − | 0.0365071i | ||||
\(156\) | 22963.2 | + | 43136.2i | 0.0755477 | + | 0.141916i | ||||
\(157\) | −43333.4 | + | 245756.i | −0.140305 | + | 0.795711i | 0.830712 | + | 0.556702i | \(0.187934\pi\) |
−0.971017 | + | 0.239009i | \(0.923178\pi\) | |||||||
\(158\) | −333365. | − | 279726.i | −1.06237 | − | 0.891436i | ||||
\(159\) | 174811. | + | 157245.i | 0.548374 | + | 0.493269i | ||||
\(160\) | 33212.2 | + | 12088.3i | 0.102565 | + | 0.0373305i | ||||
\(161\) | −326858. | −0.993789 | ||||||||
\(162\) | 297132. | + | 41161.2i | 0.889532 | + | 0.123225i | ||||
\(163\) | 434926. | 1.28217 | 0.641086 | − | 0.767469i | \(-0.278484\pi\) | ||||
0.641086 | + | 0.767469i | \(0.278484\pi\) | |||||||
\(164\) | −48076.3 | − | 17498.3i | −0.139579 | − | 0.0508027i | ||||
\(165\) | −105690. | − | 95069.3i | −0.302221 | − | 0.271851i | ||||
\(166\) | −127160. | − | 106700.i | −0.358162 | − | 0.300534i | ||||
\(167\) | −112871. | + | 640122.i | −0.313177 | + | 1.77612i | 0.269086 | + | 0.963116i | \(0.413278\pi\) |
−0.582263 | + | 0.813000i | \(0.697833\pi\) | |||||||
\(168\) | −176893. | − | 332292.i | −0.483546 | − | 0.908336i | ||||
\(169\) | −88175.2 | + | 73987.8i | −0.237482 | + | 0.199271i | ||||
\(170\) | −32609.2 | − | 56480.8i | −0.0865403 | − | 0.149892i | ||||
\(171\) | 389969. | − | 283918.i | 1.01986 | − | 0.742510i | ||||
\(172\) | 51663.8 | − | 89484.4i | 0.133157 | − | 0.230635i | ||||
\(173\) | −110687. | − | 627739.i | −0.281179 | − | 1.59464i | −0.718624 | − | 0.695399i | \(-0.755228\pi\) |
0.437446 | − | 0.899245i | \(-0.355883\pi\) | |||||||
\(174\) | 31670.4 | + | 224542.i | 0.0793013 | + | 0.562244i | ||||
\(175\) | −335538. | + | 122126.i | −0.828221 | + | 0.301448i | ||||
\(176\) | 421657. | − | 153471.i | 1.02607 | − | 0.373460i | ||||
\(177\) | 96505.1 | − | 75474.8i | 0.231535 | − | 0.181079i | ||||
\(178\) | −102671. | − | 582279.i | −0.242884 | − | 1.37747i | ||||
\(179\) | −65374.0 | + | 113231.i | −0.152501 | + | 0.264139i | −0.932146 | − | 0.362082i | \(-0.882066\pi\) |
0.779645 | + | 0.626221i | \(0.215399\pi\) | |||||||
\(180\) | 17342.2 | + | 16714.1i | 0.0398954 | + | 0.0384505i | ||||
\(181\) | −19653.9 | − | 34041.6i | −0.0445916 | − | 0.0772348i | 0.842868 | − | 0.538120i | \(-0.180865\pi\) |
−0.887460 | + | 0.460885i | \(0.847532\pi\) | |||||||
\(182\) | −245154. | + | 205709.i | −0.548607 | + | 0.460336i | ||||
\(183\) | −530922. | − | 18277.9i | −1.17193 | − | 0.0403458i | ||||
\(184\) | −88479.3 | + | 501791.i | −0.192662 | + | 1.09264i | ||||
\(185\) | 123382. | + | 103530.i | 0.265047 | + | 0.222401i | ||||
\(186\) | −17436.6 | + | 82232.5i | −0.0369556 | + | 0.174285i | ||||
\(187\) | 429567. | + | 156350.i | 0.898312 | + | 0.326959i | ||||
\(188\) | 108455. | 0.223797 | ||||||||
\(189\) | −33584.2 | − | 470269.i | −0.0683880 | − | 0.957617i | ||||
\(190\) | −161382. | −0.324318 | ||||||||
\(191\) | 453938. | + | 165220.i | 0.900354 | + | 0.327702i | 0.750395 | − | 0.660990i | \(-0.229864\pi\) |
0.149959 | + | 0.988692i | \(0.452086\pi\) | |||||||
\(192\) | −539822. | + | 175693.i | −1.05681 | + | 0.343956i | ||||
\(193\) | −357727. | − | 300168.i | −0.691286 | − | 0.580058i | 0.227993 | − | 0.973663i | \(-0.426784\pi\) |
−0.919280 | + | 0.393604i | \(0.871228\pi\) | |||||||
\(194\) | −143978. | + | 816540.i | −0.274658 | + | 1.55766i | ||||
\(195\) | 66859.3 | − | 107115.i | 0.125914 | − | 0.201727i | ||||
\(196\) | 6243.11 | − | 5238.59i | 0.0116081 | − | 0.00974034i | ||||
\(197\) | −229035. | − | 396700.i | −0.420471 | − | 0.728276i | 0.575515 | − | 0.817791i | \(-0.304802\pi\) |
−0.995985 | + | 0.0895150i | \(0.971468\pi\) | |||||||
\(198\) | 701767. | + | 48376.3i | 1.27213 | + | 0.0876940i | ||||
\(199\) | −342163. | + | 592643.i | −0.612492 | + | 1.06087i | 0.378327 | + | 0.925672i | \(0.376499\pi\) |
−0.990819 | + | 0.135195i | \(0.956834\pi\) | |||||||
\(200\) | 96658.1 | + | 548175.i | 0.170869 | + | 0.969046i | ||||
\(201\) | 899671. | + | 362974.i | 1.57070 | + | 0.633703i | ||||
\(202\) | −85865.0 | + | 31252.3i | −0.148060 | + | 0.0538894i | ||||
\(203\) | 334916. | − | 121899.i | 0.570421 | − | 0.207616i | ||||
\(204\) | −71826.8 | − | 28978.7i | −0.120840 | − | 0.0487532i | ||||
\(205\) | 22955.7 | + | 130188.i | 0.0381510 | + | 0.216365i | ||||
\(206\) | −371654. | + | 643724.i | −0.610198 | + | 1.05689i | ||||
\(207\) | −356327. | + | 529403.i | −0.577994 | + | 0.858738i | ||||
\(208\) | 199284. | + | 345169.i | 0.319384 | + | 0.553189i | ||||
\(209\) | 866531. | − | 727106.i | 1.37220 | − | 1.15141i | ||||
\(210\) | −83519.6 | + | 133806.i | −0.130689 | + | 0.209377i | ||||
\(211\) | 94017.3 | − | 533199.i | 0.145379 | − | 0.824486i | −0.821683 | − | 0.569945i | \(-0.806965\pi\) |
0.967062 | − | 0.254541i | \(-0.0819243\pi\) | |||||||
\(212\) | −71563.6 | − | 60049.0i | −0.109358 | − | 0.0917627i | ||||
\(213\) | −154026. | + | 50130.2i | −0.232619 | + | 0.0757095i | ||||
\(214\) | −955076. | − | 347619.i | −1.42562 | − | 0.518883i | ||||
\(215\) | −266988. | −0.393908 | ||||||||
\(216\) | −731046. | − | 75741.9i | −1.06613 | − | 0.110459i | ||||
\(217\) | 132120. | 0.190466 | ||||||||
\(218\) | 559944. | + | 203803.i | 0.798001 | + | 0.290448i | ||||
\(219\) | 71938.9 | − | 339269.i | 0.101357 | − | 0.478007i | ||||
\(220\) | 43266.9 | + | 36305.3i | 0.0602698 | + | 0.0505723i | ||||
\(221\) | −70508.8 | + | 399875.i | −0.0971097 | + | 0.550737i | ||||
\(222\) | −796519. | − | 27421.5i | −1.08471 | − | 0.0373430i | ||||
\(223\) | 989753. | − | 830501.i | 1.33280 | − | 1.11835i | 0.349385 | − | 0.936979i | \(-0.386391\pi\) |
0.983415 | − | 0.181372i | \(-0.0580537\pi\) | |||||||
\(224\) | 137439. | + | 238052.i | 0.183017 | + | 0.316994i | ||||
\(225\) | −167986. | + | 676599.i | −0.221216 | + | 0.890994i | ||||
\(226\) | 556968. | − | 964697.i | 0.725369 | − | 1.25638i | ||||
\(227\) | −166791. | − | 945918.i | −0.214836 | − | 1.21840i | −0.881190 | − | 0.472762i | \(-0.843257\pi\) |
0.666354 | − | 0.745635i | \(-0.267854\pi\) | |||||||
\(228\) | −150968. | + | 118069.i | −0.192330 | + | 0.150417i | ||||
\(229\) | 122464. | − | 44573.1i | 0.154319 | − | 0.0561674i | −0.263706 | − | 0.964603i | \(-0.584945\pi\) |
0.418024 | + | 0.908436i | \(0.362723\pi\) | |||||||
\(230\) | 200623. | − | 73020.7i | 0.250069 | − | 0.0910178i | ||||
\(231\) | −154410. | − | 1.09476e6i | −0.190390 | − | 1.34986i | ||||
\(232\) | −96478.9 | − | 547159.i | −0.117683 | − | 0.667411i | ||||
\(233\) | 296713. | − | 513921.i | 0.358052 | − | 0.620165i | −0.629583 | − | 0.776933i | \(-0.716774\pi\) |
0.987635 | + | 0.156769i | \(0.0501077\pi\) | |||||||
\(234\) | 65924.1 | + | 621326.i | 0.0787054 | + | 0.741788i | ||||
\(235\) | −140118. | − | 242691.i | −0.165510 | − | 0.286671i | ||||
\(236\) | −37288.4 | + | 31288.7i | −0.0435807 | + | 0.0365686i | ||||
\(237\) | 627504. | + | 1.17876e6i | 0.725681 | + | 1.36318i | ||||
\(238\) | 88078.5 | − | 499518.i | 0.100792 | − | 0.571622i | ||||
\(239\) | −949730. | − | 796918.i | −1.07549 | − | 0.902441i | −0.0799487 | − | 0.996799i | \(-0.525476\pi\) |
−0.995538 | + | 0.0943582i | \(0.969920\pi\) | |||||||
\(240\) | 146051. | + | 131374.i | 0.163672 | + | 0.147225i | ||||
\(241\) | −982056. | − | 357439.i | −1.08916 | − | 0.396423i | −0.265853 | − | 0.964014i | \(-0.585654\pi\) |
−0.823311 | + | 0.567590i | \(0.807876\pi\) | |||||||
\(242\) | 831420. | 0.912603 | ||||||||
\(243\) | −798295. | − | 458273.i | −0.867257 | − | 0.497861i | ||||
\(244\) | 211068. | 0.226959 | ||||||||
\(245\) | −19788.3 | − | 7202.34i | −0.0210617 | − | 0.00766582i | ||||
\(246\) | −486341. | − | 437469.i | −0.512393 | − | 0.460903i | ||||
\(247\) | 769683. | + | 645841.i | 0.802730 | + | 0.673570i | ||||
\(248\) | 35764.4 | − | 202830.i | 0.0369251 | − | 0.209412i | ||||
\(249\) | 239358. | + | 449631.i | 0.244652 | + | 0.459576i | ||||
\(250\) | 373284. | − | 313223.i | 0.377737 | − | 0.316959i | ||||
\(251\) | 335297. | + | 580751.i | 0.335927 | + | 0.581843i | 0.983662 | − | 0.180022i | \(-0.0576171\pi\) |
−0.647735 | + | 0.761865i | \(0.724284\pi\) | |||||||
\(252\) | 19764.2 | + | 186275.i | 0.0196055 | + | 0.184779i | ||||
\(253\) | −748237. | + | 1.29598e6i | −0.734916 | + | 1.27291i | ||||
\(254\) | 62623.2 | + | 355154.i | 0.0609047 | + | 0.345408i | ||||
\(255\) | 27950.3 | + | 198167.i | 0.0269176 | + | 0.190845i | ||||
\(256\) | 549315. | − | 199934.i | 0.523868 | − | 0.190672i | ||||
\(257\) | 1.03926e6 | − | 378260.i | 0.981503 | − | 0.357238i | 0.199078 | − | 0.979984i | \(-0.436205\pi\) |
0.782424 | + | 0.622746i | \(0.213983\pi\) | |||||||
\(258\) | 1.04066e6 | − | 813884.i | 0.973333 | − | 0.761225i | ||||
\(259\) | 217519. | + | 1.23361e6i | 0.201488 | + | 1.14269i | ||||
\(260\) | −25084.2 | + | 43447.1i | −0.0230127 | + | 0.0398591i | ||||
\(261\) | 167674. | − | 675344.i | 0.152358 | − | 0.613654i | ||||
\(262\) | −267649. | − | 463582.i | −0.240887 | − | 0.417228i | ||||
\(263\) | −399371. | + | 335112.i | −0.356031 | + | 0.298745i | −0.803206 | − | 0.595701i | \(-0.796874\pi\) |
0.447176 | + | 0.894446i | \(0.352430\pi\) | |||||||
\(264\) | −1.72247e6 | − | 59298.9i | −1.52104 | − | 0.0523645i | ||||
\(265\) | −41916.3 | + | 237719.i | −0.0366664 | + | 0.207946i | ||||
\(266\) | −961475. | − | 806774.i | −0.833171 | − | 0.699113i | ||||
\(267\) | −376346. | + | 1.77488e6i | −0.323080 | + | 1.52367i | ||||
\(268\) | −362203. | − | 131831.i | −0.308045 | − | 0.112119i | ||||
\(269\) | −752426. | −0.633991 | −0.316995 | − | 0.948427i | \(-0.602674\pi\) | ||||
−0.316995 | + | 0.948427i | \(0.602674\pi\) | |||||||
\(270\) | 125673. | + | 281145.i | 0.104914 | + | 0.234704i | ||||
\(271\) | −1.05481e6 | −0.872475 | −0.436237 | − | 0.899832i | \(-0.643689\pi\) | ||||
−0.436237 | + | 0.899832i | \(0.643689\pi\) | |||||||
\(272\) | −593610. | − | 216056.i | −0.486495 | − | 0.177070i | ||||
\(273\) | 933816. | − | 303925.i | 0.758324 | − | 0.246808i | ||||
\(274\) | 823035. | + | 690608.i | 0.662280 | + | 0.555719i | ||||
\(275\) | −283881. | + | 1.60997e6i | −0.226362 | + | 1.28377i | ||||
\(276\) | 134253. | − | 215086.i | 0.106085 | − | 0.169957i | ||||
\(277\) | −54133.8 | + | 45423.7i | −0.0423906 | + | 0.0355699i | −0.663737 | − | 0.747966i | \(-0.731031\pi\) |
0.621346 | + | 0.783536i | \(0.286586\pi\) | |||||||
\(278\) | 299976. | + | 519573.i | 0.232795 | + | 0.403213i | ||||
\(279\) | 144032. | − | 213991.i | 0.110776 | − | 0.164583i | ||||
\(280\) | 193232. | − | 334687.i | 0.147293 | − | 0.255120i | ||||
\(281\) | 147758. | + | 837976.i | 0.111631 | + | 0.633091i | 0.988363 | + | 0.152112i | \(0.0486074\pi\) |
−0.876732 | + | 0.480979i | \(0.840281\pi\) | |||||||
\(282\) | 1.28597e6 | + | 518827.i | 0.962958 | + | 0.388508i | ||||
\(283\) | 8519.63 | − | 3100.89i | 0.00632346 | − | 0.00230155i | −0.338856 | − | 0.940838i | \(-0.610040\pi\) |
0.345180 | + | 0.938537i | \(0.387818\pi\) | |||||||
\(284\) | 60475.3 | − | 22011.2i | 0.0444920 | − | 0.0161938i | ||||
\(285\) | 459247. | + | 185284.i | 0.334915 | + | 0.135122i | ||||
\(286\) | 254429. | + | 1.44294e6i | 0.183929 | + | 1.04312i | ||||
\(287\) | −514066. | + | 890389.i | −0.368396 | + | 0.638080i | ||||
\(288\) | 535397. | + | 36907.6i | 0.380360 | + | 0.0262201i | ||||
\(289\) | 388150. | + | 672296.i | 0.273373 | + | 0.473495i | ||||
\(290\) | −178336. | + | 149642.i | −0.124521 | + | 0.104486i | ||||
\(291\) | 1.34720e6 | − | 2.15834e6i | 0.932607 | − | 1.49412i | ||||
\(292\) | −23927.6 | + | 135700.i | −0.0164226 | + | 0.0931372i | ||||
\(293\) | −1.20084e6 | − | 1.00763e6i | −0.817179 | − | 0.685695i | 0.135131 | − | 0.990828i | \(-0.456855\pi\) |
−0.952310 | + | 0.305133i | \(0.901299\pi\) | |||||||
\(294\) | 99086.3 | − | 32249.1i | 0.0668567 | − | 0.0217596i | ||||
\(295\) | 118190. | + | 43017.7i | 0.0790726 | + | 0.0287801i | ||||
\(296\) | 1.95272e6 | 1.29542 | ||||||||
\(297\) | −1.94149e6 | − | 943371.i | −1.27715 | − | 0.620571i | ||||
\(298\) | −347252. | −0.226519 | ||||||||
\(299\) | −1.24906e6 | − | 454620.i | −0.807988 | − | 0.294084i | ||||
\(300\) | 57454.5 | − | 270960.i | 0.0368571 | − | 0.173821i | ||||
\(301\) | −1.59065e6 | − | 1.33471e6i | −1.01195 | − | 0.849125i | ||||
\(302\) | 85302.6 | − | 483775.i | 0.0538201 | − | 0.305229i | ||||
\(303\) | 280228. | + | 9647.32i | 0.175350 | + | 0.00603671i | ||||
\(304\) | −1.19744e6 | + | 1.00477e6i | −0.743139 | + | 0.623567i | ||||
\(305\) | −272689. | − | 472311.i | −0.167849 | − | 0.290722i | ||||
\(306\) | −713036. | − | 687212.i | −0.435320 | − | 0.419554i | ||||
\(307\) | 58533.0 | − | 101382.i | 0.0354450 | − | 0.0613925i | −0.847759 | − | 0.530382i | \(-0.822048\pi\) |
0.883204 | + | 0.468990i | \(0.155382\pi\) | |||||||
\(308\) | 76278.4 | + | 432596.i | 0.0458168 | + | 0.259840i | ||||
\(309\) | 1.79669e6 | − | 1.40515e6i | 1.07047 | − | 0.837197i | ||||
\(310\) | −81094.0 | + | 29515.8i | −0.0479275 | + | 0.0174442i | ||||
\(311\) | 1.03313e6 | − | 376029.i | 0.605696 | − | 0.220455i | −0.0209230 | − | 0.999781i | \(-0.506660\pi\) |
0.626619 | + | 0.779326i | \(0.284438\pi\) | |||||||
\(312\) | −213803. | − | 1.51586e6i | −0.124345 | − | 0.881603i | ||||
\(313\) | 441203. | + | 2.50218e6i | 0.254552 | + | 1.44364i | 0.797219 | + | 0.603690i | \(0.206304\pi\) |
−0.542667 | + | 0.839948i | \(0.682585\pi\) | |||||||
\(314\) | 633851. | − | 1.09786e6i | 0.362797 | − | 0.628382i | ||||
\(315\) | 391297. | − | 284884.i | 0.222193 | − | 0.161768i | ||||
\(316\) | −265283. | − | 459483.i | −0.149448 | − | 0.258852i | ||||
\(317\) | −331672. | + | 278306.i | −0.185379 | + | 0.155552i | −0.730755 | − | 0.682640i | \(-0.760832\pi\) |
0.545375 | + | 0.838192i | \(0.316387\pi\) | |||||||
\(318\) | −561281. | − | 1.05436e6i | −0.311252 | − | 0.584684i | ||||
\(319\) | 283355. | − | 1.60698e6i | 0.155903 | − | 0.884168i | ||||
\(320\) | −446455. | − | 374620.i | −0.243726 | − | 0.204511i | ||||
\(321\) | 2.31877e6 | + | 2.08576e6i | 1.25601 | + | 1.12980i | ||||
\(322\) | 1.56030e6 | + | 567904.i | 0.838628 | + | 0.305236i | ||||
\(323\) | −1.59247e6 | −0.849308 | ||||||||
\(324\) | 323251. | + | 171058.i | 0.171071 | + | 0.0905275i | ||||
\(325\) | −1.45209e6 | −0.762580 | ||||||||
\(326\) | −2.07618e6 | − | 755669.i | −1.08199 | − | 0.393811i | ||||
\(327\) | −1.35945e6 | − | 1.22284e6i | −0.703063 | − | 0.632413i | ||||
\(328\) | 1.22777e6 | + | 1.03022e6i | 0.630131 | + | 0.528743i | ||||
\(329\) | 378462. | − | 2.14636e6i | 0.192767 | − | 1.09324i | ||||
\(330\) | 339347. | + | 637460.i | 0.171538 | + | 0.322232i | ||||
\(331\) | −525303. | + | 440781.i | −0.263536 | + | 0.221133i | −0.764975 | − | 0.644060i | \(-0.777249\pi\) |
0.501439 | + | 0.865193i | \(0.332804\pi\) | |||||||
\(332\) | −101190. | − | 175267.i | −0.0503842 | − | 0.0872680i | ||||
\(333\) | 2.23518e6 | + | 992525.i | 1.10459 | + | 0.490491i | ||||
\(334\) | 1.65099e6 | − | 2.85961e6i | 0.809803 | − | 1.40262i | ||||
\(335\) | 172946. | + | 980827.i | 0.0841975 | + | 0.477508i | ||||
\(336\) | 213375. | + | 1.51283e6i | 0.103109 | + | 0.731040i | ||||
\(337\) | 2.18854e6 | − | 796565.i | 1.04974 | − | 0.382073i | 0.241173 | − | 0.970482i | \(-0.422468\pi\) |
0.808563 | + | 0.588409i | \(0.200246\pi\) | |||||||
\(338\) | 549469. | − | 199990.i | 0.261608 | − | 0.0952175i | ||||
\(339\) | −2.69255e6 | + | 2.10579e6i | −1.27252 | + | 0.995213i | ||||
\(340\) | −13807.5 | − | 78306.0i | −0.00647764 | − | 0.0367365i | ||||
\(341\) | 302446. | − | 523852.i | 0.140852 | − | 0.243962i | ||||
\(342\) | −2.35487e6 | + | 677765.i | −1.08868 | + | 0.313338i | ||||
\(343\) | −1.12782e6 | − | 1.95344e6i | −0.517611 | − | 0.896528i | ||||
\(344\) | −2.47963e6 | + | 2.08066e6i | −1.12977 | + | 0.947991i | ||||
\(345\) | −654751. | − | 22540.9i | −0.296161 | − | 0.0101958i | ||||
\(346\) | −562292. | + | 3.18892e6i | −0.252506 | + | 1.43203i | ||||
\(347\) | 1.53203e6 | + | 1.28553e6i | 0.683038 | + | 0.573137i | 0.916892 | − | 0.399135i | \(-0.130689\pi\) |
−0.233854 | + | 0.972272i | \(0.575134\pi\) | |||||||
\(348\) | −57348.0 | + | 270457.i | −0.0253846 | + | 0.119716i | ||||
\(349\) | 704550. | + | 256435.i | 0.309634 | + | 0.112697i | 0.492163 | − | 0.870503i | \(-0.336206\pi\) |
−0.182530 | + | 0.983200i | \(0.558429\pi\) | |||||||
\(350\) | 1.81393e6 | 0.791498 | ||||||||
\(351\) | 525749. | − | 1.84380e6i | 0.227777 | − | 0.798816i | ||||
\(352\) | 1.25849e6 | 0.541370 | ||||||||
\(353\) | 1.73819e6 | + | 632650.i | 0.742440 | + | 0.270226i | 0.685421 | − | 0.728147i | \(-0.259618\pi\) |
0.0570188 | + | 0.998373i | \(0.481840\pi\) | |||||||
\(354\) | −591816. | + | 192616.i | −0.251003 | + | 0.0816927i | ||||
\(355\) | −127386. | − | 106889.i | −0.0536476 | − | 0.0450157i | ||||
\(356\) | 125177. | − | 709912.i | 0.0523478 | − | 0.296879i | ||||
\(357\) | −824147. | + | 1.32036e6i | −0.342243 | + | 0.548305i | ||||
\(358\) | 508808. | − | 426940.i | 0.209820 | − | 0.176060i | ||||
\(359\) | −127927. | − | 221577.i | −0.0523875 | − | 0.0907378i | 0.838642 | − | 0.544682i | \(-0.183350\pi\) |
−0.891030 | + | 0.453945i | \(0.850016\pi\) | |||||||
\(360\) | −331431. | − | 677835.i | −0.134783 | − | 0.275656i | ||||
\(361\) | −732223. | + | 1.26825e6i | −0.295716 | + | 0.512196i | ||||
\(362\) | 34674.8 | + | 196650.i | 0.0139073 | + | 0.0788721i | ||||
\(363\) | −2.36598e6 | − | 954561.i | −0.942421 | − | 0.380222i | ||||
\(364\) | −366644. | + | 133448.i | −0.145041 | + | 0.0527907i | ||||
\(365\) | 334572. | − | 121774.i | 0.131449 | − | 0.0478436i | ||||
\(366\) | 2.50268e6 | + | 1.00971e6i | 0.976567 | + | 0.393998i | ||||
\(367\) | −150388. | − | 852891.i | −0.0582837 | − | 0.330543i | 0.941699 | − | 0.336457i | \(-0.109229\pi\) |
−0.999983 | + | 0.00591379i | \(0.998118\pi\) | |||||||
\(368\) | 1.03397e6 | − | 1.79089e6i | 0.398006 | − | 0.689366i | ||||
\(369\) | 881725. | + | 1.80329e6i | 0.337107 | + | 0.689443i | ||||
\(370\) | −409103. | − | 708588.i | −0.155356 | − | 0.269085i | ||||
\(371\) | −1.43812e6 | + | 1.20673e6i | −0.542452 | + | 0.455171i | ||||
\(372\) | −54266.7 | + | 86940.3i | −0.0203318 | + | 0.0325735i | ||||
\(373\) | 161219. | − | 914317.i | 0.0599989 | − | 0.340271i | −0.940001 | − | 0.341173i | \(-0.889176\pi\) |
1.00000 | 0.000901749i | \(0.000287036\pi\) | ||||||||
\(374\) | −1.77895e6 | − | 1.49272e6i | −0.657635 | − | 0.551821i | ||||
\(375\) | −1.42187e6 | + | 462771.i | −0.522135 | + | 0.169937i | ||||
\(376\) | −3.19264e6 | − | 1.16203e6i | −1.16461 | − | 0.423883i | ||||
\(377\) | 1.44940e6 | 0.525212 | ||||||||
\(378\) | −656757. | + | 2.30325e6i | −0.236415 | + | 0.829109i | ||||
\(379\) | 1.89728e6 | 0.678475 | 0.339238 | − | 0.940701i | \(-0.389831\pi\) | ||||
0.339238 | + | 0.940701i | \(0.389831\pi\) | |||||||
\(380\) | −184890. | − | 67294.6i | −0.0656834 | − | 0.0239068i | ||||
\(381\) | 229548. | − | 1.08256e6i | 0.0810141 | − | 0.382068i | ||||
\(382\) | −1.87988e6 | − | 1.57740e6i | −0.659129 | − | 0.553075i | ||||
\(383\) | −604660. | + | 3.42920e6i | −0.210627 | + | 1.19453i | 0.677708 | + | 0.735331i | \(0.262973\pi\) |
−0.888335 | + | 0.459195i | \(0.848138\pi\) | |||||||
\(384\) | 1.78116e6 | + | 61319.4i | 0.616418 | + | 0.0212212i | ||||
\(385\) | 869481. | − | 729581.i | 0.298957 | − | 0.250855i | ||||
\(386\) | 1.18613e6 | + | 2.05443e6i | 0.405194 | + | 0.701817i | ||||
\(387\) | −3.89586e6 | + | 1.12128e6i | −1.32229 | + | 0.380573i | ||||
\(388\) | −505440. | + | 875447.i | −0.170447 | + | 0.295223i | ||||
\(389\) | −406628. | − | 2.30610e6i | −0.136246 | − | 0.772689i | −0.973984 | − | 0.226617i | \(-0.927234\pi\) |
0.837738 | − | 0.546072i | \(-0.183878\pi\) | |||||||
\(390\) | −505271. | + | 395163.i | −0.168214 | + | 0.131557i | ||||
\(391\) | 1.97969e6 | − | 720547.i | 0.654870 | − | 0.238353i | ||||
\(392\) | −239910. | + | 87320.3i | −0.0788559 | + | 0.0287012i | ||||
\(393\) | 229410. | + | 1.62651e6i | 0.0749257 | + | 0.531222i | ||||
\(394\) | 404078. | + | 2.29164e6i | 0.131137 | + | 0.743715i | ||||
\(395\) | −685463. | + | 1.18726e6i | −0.221050 | + | 0.382870i | ||||
\(396\) | 783820. | + | 348053.i | 0.251176 | + | 0.111534i | ||||
\(397\) | −1.06821e6 | − | 1.85019e6i | −0.340157 | − | 0.589169i | 0.644305 | − | 0.764769i | \(-0.277147\pi\) |
−0.984462 | + | 0.175600i | \(0.943814\pi\) | |||||||
\(398\) | 2.66306e6 | − | 2.23457e6i | 0.842701 | − | 0.707110i | ||||
\(399\) | 1.80982e6 | + | 3.39973e6i | 0.569119 | + | 1.06908i | ||||
\(400\) | 392289. | − | 2.22478e6i | 0.122590 | − | 0.695244i | ||||
\(401\) | 3.93399e6 | + | 3.30101e6i | 1.22172 | + | 1.02515i | 0.998733 | + | 0.0503264i | \(0.0160262\pi\) |
0.222990 | + | 0.974821i | \(0.428418\pi\) | |||||||
\(402\) | −3.66406e6 | − | 3.29586e6i | −1.13083 | − | 1.01719i | ||||
\(403\) | 504884. | + | 183763.i | 0.154856 | + | 0.0563631i | ||||
\(404\) | −111405. | −0.0339586 | ||||||||
\(405\) | −34843.8 | − | 944343.i | −0.0105557 | − | 0.286083i | ||||
\(406\) | −1.81057e6 | −0.545129 | ||||||||
\(407\) | 5.38919e6 | + | 1.96151e6i | 1.61264 | + | 0.586953i | ||||
\(408\) | 1.80392e6 | + | 1.62264e6i | 0.536496 | + | 0.482584i | ||||
\(409\) | 127722. | + | 107171.i | 0.0377534 | + | 0.0316788i | 0.661469 | − | 0.749972i | \(-0.269933\pi\) |
−0.623716 | + | 0.781651i | \(0.714378\pi\) | |||||||
\(410\) | 116615. | − | 661357.i | 0.0342606 | − | 0.194302i | ||||
\(411\) | −1.54923e6 | − | 2.91021e6i | −0.452388 | − | 0.849805i | ||||
\(412\) | −694219. | + | 582519.i | −0.201490 | + | 0.169070i | ||||
\(413\) | 489096. | + | 847139.i | 0.141097 | + | 0.244388i | ||||
\(414\) | 2.62080e6 | − | 1.90808e6i | 0.751507 | − | 0.547136i | ||||
\(415\) | −261466. | + | 452872.i | −0.0745237 | + | 0.129079i | ||||
\(416\) | 194111. | + | 1.10086e6i | 0.0549941 | + | 0.311887i | ||||
\(417\) | −257118. | − | 1.82296e6i | −0.0724089 | − | 0.513378i | ||||
\(418\) | −5.39983e6 | + | 1.96538e6i | −1.51161 | + | 0.550181i | ||||
\(419\) | 1.11743e6 | − | 406713.i | 0.310947 | − | 0.113176i | −0.181833 | − | 0.983329i | \(-0.558203\pi\) |
0.492780 | + | 0.870154i | \(0.335981\pi\) | |||||||
\(420\) | −151482. | + | 118471.i | −0.0419022 | + | 0.0327709i | ||||
\(421\) | −1.02277e6 | − | 5.80043e6i | −0.281238 | − | 1.59498i | −0.718422 | − | 0.695608i | \(-0.755135\pi\) |
0.437184 | − | 0.899372i | \(-0.355976\pi\) | |||||||
\(422\) | −1.37522e6 | + | 2.38195e6i | −0.375916 | + | 0.651106i | ||||
\(423\) | −3.06383e6 | − | 2.95286e6i | −0.832556 | − | 0.802403i | ||||
\(424\) | 1.46327e6 | + | 2.53446e6i | 0.395285 | + | 0.684653i | ||||
\(425\) | 1.76304e6 | − | 1.47936e6i | 0.473466 | − | 0.397285i | ||||
\(426\) | 822365. | + | 28311.3i | 0.219554 | + | 0.00755850i | ||||
\(427\) | 736541. | − | 4.17713e6i | 0.195491 | − | 1.10869i | ||||
\(428\) | −949248. | − | 796513.i | −0.250478 | − | 0.210176i | ||||
\(429\) | 932619. | − | 4.39830e6i | 0.244659 | − | 1.15383i | ||||
\(430\) | 1.27451e6 | + | 463882.i | 0.332407 | + | 0.120986i | ||||
\(431\) | −5.29916e6 | −1.37409 | −0.687043 | − | 0.726617i | \(-0.741091\pi\) | ||||
−0.687043 | + | 0.726617i | \(0.741091\pi\) | |||||||
\(432\) | 2.68290e6 | + | 1.30362e6i | 0.691664 | + | 0.336080i | ||||
\(433\) | −702037. | −0.179945 | −0.0899726 | − | 0.995944i | \(-0.528678\pi\) | ||||
−0.0899726 | + | 0.995944i | \(0.528678\pi\) | |||||||
\(434\) | −630693. | − | 229553.i | −0.160729 | − | 0.0585005i | ||||
\(435\) | 679298. | − | 221088.i | 0.172122 | − | 0.0560199i | ||||
\(436\) | 556527. | + | 466981.i | 0.140207 | + | 0.117648i | ||||
\(437\) | 905244. | − | 5.13389e6i | 0.226758 | − | 1.28601i | ||||
\(438\) | −932879. | + | 1.49456e6i | −0.232349 | + | 0.372244i | ||||
\(439\) | 411595. | − | 345369.i | 0.101931 | − | 0.0855307i | −0.590398 | − | 0.807113i | \(-0.701029\pi\) |
0.692329 | + | 0.721582i | \(0.256585\pi\) | |||||||
\(440\) | −884685. | − | 1.53232e6i | −0.217850 | − | 0.377327i | ||||
\(441\) | −318997. | − | 21990.0i | −0.0781069 | − | 0.00538430i | ||||
\(442\) | 1.03135e6 | − | 1.78636e6i | 0.251103 | − | 0.434923i | ||||
\(443\) | −650929. | − | 3.69160e6i | −0.157588 | − | 0.893728i | −0.956381 | − | 0.292122i | \(-0.905639\pi\) |
0.798793 | − | 0.601606i | \(-0.205472\pi\) | |||||||
\(444\) | −901113. | − | 363556.i | −0.216931 | − | 0.0875214i | ||||
\(445\) | −1.75030e6 | + | 637059.i | −0.419000 | + | 0.152503i | ||||
\(446\) | −6.16770e6 | + | 2.24486e6i | −1.46820 | + | 0.534382i | ||||
\(447\) | 988180. | + | 398684.i | 0.233920 | + | 0.0943756i | ||||
\(448\) | −787087. | − | 4.46379e6i | −0.185280 | − | 1.05077i | ||||
\(449\) | 344372. | − | 596470.i | 0.0806143 | − | 0.139628i | −0.822900 | − | 0.568187i | \(-0.807645\pi\) |
0.903514 | + | 0.428559i | \(0.140978\pi\) | |||||||
\(450\) | 1.97747e6 | − | 2.93797e6i | 0.460340 | − | 0.683937i | ||||
\(451\) | 2.35358e6 | + | 4.07652e6i | 0.544864 | + | 0.943732i | ||||
\(452\) | 1.04037e6 | − | 872973.i | 0.239520 | − | 0.200981i | ||||
\(453\) | −798173. | + | 1.27875e6i | −0.182748 | + | 0.292779i | ||||
\(454\) | −847299. | + | 4.80527e6i | −0.192929 | + | 1.09415i | ||||
\(455\) | 772304. | + | 648040.i | 0.174888 | + | 0.146748i | ||||
\(456\) | 5.70916e6 | − | 1.85813e6i | 1.28576 | − | 0.418470i | ||||
\(457\) | 3.21264e6 | + | 1.16931e6i | 0.719568 | + | 0.261901i | 0.675742 | − | 0.737138i | \(-0.263823\pi\) |
0.0438256 | + | 0.999039i | \(0.486045\pi\) | |||||||
\(458\) | −662042. | −0.147476 | ||||||||
\(459\) | 1.24010e6 | + | 2.77425e6i | 0.274742 | + | 0.614631i | ||||
\(460\) | 260296. | 0.0573553 | ||||||||
\(461\) | −1.19607e6 | − | 435333.i | −0.262122 | − | 0.0954045i | 0.207616 | − | 0.978210i | \(-0.433429\pi\) |
−0.469738 | + | 0.882806i | \(0.655652\pi\) | |||||||
\(462\) | −1.16501e6 | + | 5.49428e6i | −0.253937 | + | 1.19758i | ||||
\(463\) | 5.03211e6 | + | 4.22244e6i | 1.09093 | + | 0.915401i | 0.996782 | − | 0.0801571i | \(-0.0255422\pi\) |
0.0941501 | + | 0.995558i | \(0.469987\pi\) | |||||||
\(464\) | −391561. | + | 2.22066e6i | −0.0844316 | + | 0.478835i | ||||
\(465\) | 264658. | + | 9111.28i | 0.0567613 | + | 0.00195410i | ||||
\(466\) | −2.30932e6 | + | 1.93775e6i | −0.492629 | + | 0.413364i | ||||
\(467\) | −80021.4 | − | 138601.i | −0.0169791 | − | 0.0294086i | 0.857411 | − | 0.514632i | \(-0.172072\pi\) |
−0.874390 | + | 0.485224i | \(0.838738\pi\) | |||||||
\(468\) | −183559. | + | 739323.i | −0.0387402 | + | 0.156034i | ||||
\(469\) | −3.87293e6 | + | 6.70811e6i | −0.813032 | + | 1.40821i | ||||
\(470\) | 247205. | + | 1.40197e6i | 0.0516194 | + | 0.292748i | ||||
\(471\) | −3.06423e6 | + | 2.39647e6i | −0.636456 | + | 0.497760i | ||||
\(472\) | 1.43292e6 | − | 521541.i | 0.296052 | − | 0.107754i | ||||
\(473\) | −8.93339e6 | + | 3.25149e6i | −1.83596 | + | 0.668235i | ||||
\(474\) | −947428. | − | 6.71724e6i | −0.193687 | − | 1.37324i | ||||
\(475\) | −988923. | − | 5.60846e6i | −0.201108 | − | 1.14054i | ||||
\(476\) | 309202. | − | 535554.i | 0.0625497 | − | 0.108339i | ||||
\(477\) | 386723. | + | 3.64482e6i | 0.0778224 | + | 0.733466i | ||||
\(478\) | 3.14906e6 | + | 5.45432e6i | 0.630392 | + | 1.09187i | ||||
\(479\) | 2.47241e6 | − | 2.07460e6i | 0.492359 | − | 0.413138i | −0.362512 | − | 0.931979i | \(-0.618081\pi\) |
0.854871 | + | 0.518841i | \(0.173636\pi\) | |||||||
\(480\) | 258897. | + | 486335.i | 0.0512890 | + | 0.0963458i | ||||
\(481\) | −884578. | + | 5.01669e6i | −0.174330 | + | 0.988677i | ||||
\(482\) | 4.06695e6 | + | 3.41257e6i | 0.797354 | + | 0.669059i | ||||
\(483\) | −3.78816e6 | − | 3.40749e6i | −0.738858 | − | 0.664610i | ||||
\(484\) | 952532. | + | 346693.i | 0.184827 | + | 0.0672716i | ||||
\(485\) | 2.61201e6 | 0.504220 | ||||||||
\(486\) | 3.01454e6 | + | 3.57464e6i | 0.578936 | + | 0.686502i | ||||
\(487\) | 8.61882e6 | 1.64674 | 0.823371 | − | 0.567504i | \(-0.192091\pi\) | ||||
0.823371 | + | 0.567504i | \(0.192091\pi\) | |||||||
\(488\) | −6.21333e6 | − | 2.26147e6i | −1.18107 | − | 0.429874i | ||||
\(489\) | 5.04063e6 | + | 4.53410e6i | 0.953263 | + | 0.857470i | ||||
\(490\) | 81948.4 | + | 68762.8i | 0.0154188 | + | 0.0129379i | ||||
\(491\) | −242645. | + | 1.37611e6i | −0.0454222 | + | 0.257602i | −0.999060 | − | 0.0433555i | \(-0.986195\pi\) |
0.953637 | + | 0.300958i | \(0.0973063\pi\) | |||||||
\(492\) | −374766. | − | 703994.i | −0.0697987 | − | 0.131116i | ||||
\(493\) | −1.75977e6 | + | 1.47662e6i | −0.326091 | + | 0.273622i | ||||
\(494\) | −2.55207e6 | − | 4.42031e6i | −0.470516 | − | 0.814958i | ||||
\(495\) | −233811. | − | 2.20364e6i | −0.0428896 | − | 0.404228i | ||||
\(496\) | −417944. | + | 723900.i | −0.0762805 | + | 0.132122i | ||||
\(497\) | −224578. | − | 1.27364e6i | −0.0407827 | − | 0.231290i | ||||
\(498\) | −361391. | − | 2.56225e6i | −0.0652986 | − | 0.462965i | ||||
\(499\) | −222771. | + | 81082.0i | −0.0400504 | + | 0.0145772i | −0.361968 | − | 0.932191i | \(-0.617895\pi\) |
0.321917 | + | 0.946768i | \(0.395673\pi\) | |||||||
\(500\) | 558271. | − | 203194.i | 0.0998665 | − | 0.0363484i | ||||
\(501\) | −7.98140e6 | + | 6.24210e6i | −1.42064 | + | 1.11106i | ||||
\(502\) | −591554. | − | 3.35487e6i | −0.104769 | − | 0.594177i | ||||
\(503\) | −3.30496e6 | + | 5.72435e6i | −0.582433 | + | 1.00880i | 0.412757 | + | 0.910841i | \(0.364566\pi\) |
−0.995190 | + | 0.0979623i | \(0.968768\pi\) | |||||||
\(504\) | 1.41402e6 | − | 5.69525e6i | 0.247958 | − | 0.998703i | ||||
\(505\) | 143929. | + | 249292.i | 0.0251142 | + | 0.0434991i | ||||
\(506\) | 5.82355e6 | − | 4.88654e6i | 1.01114 | − | 0.848447i | ||||
\(507\) | −1.79324e6 | − | 61735.3i | −0.309827 | − | 0.0106663i | ||||
\(508\) | −76349.9 | + | 433002.i | −0.0131265 | + | 0.0744441i | ||||
\(509\) | −1.98654e6 | − | 1.66691e6i | −0.339863 | − | 0.285179i | 0.456841 | − | 0.889548i | \(-0.348981\pi\) |
−0.796704 | + | 0.604369i | \(0.793425\pi\) | |||||||
\(510\) | 210884. | − | 994543.i | 0.0359019 | − | 0.169316i | ||||
\(511\) | 2.60207e6 | + | 947076.i | 0.440825 | + | 0.160447i | ||||
\(512\) | −6.62815e6 | −1.11742 | ||||||||
\(513\) | 7.47944e6 | + | 774926.i | 1.25480 | + | 0.130007i | ||||
\(514\) | −5.61827e6 | −0.937983 | ||||||||
\(515\) | 2.20041e6 | + | 800883.i | 0.365582 | + | 0.133061i | ||||
\(516\) | 1.53164e6 | − | 498495.i | 0.253240 | − | 0.0824208i | ||||
\(517\) | −7.64392e6 | − | 6.41401e6i | −1.25774 | − | 1.05537i | ||||
\(518\) | 1.10500e6 | − | 6.26677e6i | 0.180941 | − | 1.02617i | ||||
\(519\) | 5.26135e6 | − | 8.42917e6i | 0.857391 | − | 1.37362i | ||||
\(520\) | 1.20393e6 | − | 1.01022e6i | 0.195250 | − | 0.163835i | ||||
\(521\) | −3.96717e6 | − | 6.87134e6i | −0.640304 | − | 1.10904i | −0.985365 | − | 0.170459i | \(-0.945475\pi\) |
0.345061 | − | 0.938580i | \(-0.387858\pi\) | |||||||
\(522\) | −1.97380e6 | + | 2.93253e6i | −0.317050 | + | 0.471048i | ||||
\(523\) | 816956. | − | 1.41501e6i | 0.130600 | − | 0.226207i | −0.793308 | − | 0.608821i | \(-0.791643\pi\) |
0.923908 | + | 0.382614i | \(0.124976\pi\) | |||||||
\(524\) | −113329. | − | 642718.i | −0.0180306 | − | 0.102257i | ||||
\(525\) | −5.16192e6 | − | 2.08259e6i | −0.817359 | − | 0.329765i | ||||
\(526\) | 2.48870e6 | − | 905813.i | 0.392201 | − | 0.142749i | ||||
\(527\) | −800212. | + | 291254.i | −0.125510 | + | 0.0456820i | ||||
\(528\) | 6.48678e6 | + | 2.61711e6i | 1.01261 | + | 0.408542i | ||||
\(529\) | 79922.0 | + | 453260.i | 0.0124173 | + | 0.0704220i | ||||
\(530\) | 613123. | − | 1.06196e6i | 0.0948108 | − | 0.164217i | ||||
\(531\) | 1.90528e6 | + | 131341.i | 0.293240 | + | 0.0202145i | ||||
\(532\) | −765116. | − | 1.32522e6i | −0.117206 | − | 0.203006i | ||||
\(533\) | −3.20288e6 | + | 2.68754e6i | −0.488341 | + | 0.409767i | ||||
\(534\) | 4.88033e6 | − | 7.81874e6i | 0.740621 | − | 1.18654i | ||||
\(535\) | −555995. | + | 3.15320e6i | −0.0839820 | + | 0.476286i | ||||
\(536\) | 9.24988e6 | + | 7.76157e6i | 1.39067 | + | 1.16691i | ||||
\(537\) | −1.93809e6 | + | 630783.i | −0.290028 | + | 0.0943939i | ||||
\(538\) | 3.59181e6 | + | 1.30731e6i | 0.535005 | + | 0.194726i | ||||
\(539\) | −749827. | −0.111170 | ||||||||
\(540\) | 26745.0 | + | 374503.i | 0.00394692 | + | 0.0552676i | ||||
\(541\) | 4.48902e6 | 0.659414 | 0.329707 | − | 0.944083i | \(-0.393050\pi\) | ||||
0.329707 | + | 0.944083i | \(0.393050\pi\) | |||||||
\(542\) | 5.03531e6 | + | 1.83270e6i | 0.736255 | + | 0.267975i | ||||
\(543\) | 127102. | − | 599421.i | 0.0184992 | − | 0.0872434i | ||||
\(544\) | −1.35721e6 | − | 1.13883e6i | −0.196630 | − | 0.164992i | ||||
\(545\) | 325970. | − | 1.84867e6i | 0.0470095 | − | 0.266604i | ||||
\(546\) | −4.98576e6 | − | 171643.i | −0.715731 | − | 0.0246402i | ||||
\(547\) | −801412. | + | 672464.i | −0.114522 | + | 0.0960950i | −0.698250 | − | 0.715854i | \(-0.746038\pi\) |
0.583729 | + | 0.811949i | \(0.301593\pi\) | |||||||
\(548\) | 654949. | + | 1.13441e6i | 0.0931657 | + | 0.161368i | ||||
\(549\) | −5.96264e6 | − | 5.74669e6i | −0.844322 | − | 0.813743i | ||||
\(550\) | 4.15241e6 | − | 7.19219e6i | 0.585320 | − | 1.01380i | ||||
\(551\) | 987089. | + | 5.59806e6i | 0.138509 | + | 0.785523i | ||||
\(552\) | −6.25661e6 | + | 4.89318e6i | −0.873960 | + | 0.683507i | ||||
\(553\) | −1.00191e7 | + | 3.64665e6i | −1.39321 | + | 0.507086i | ||||
\(554\) | 337338. | − | 122781.i | 0.0466972 | − | 0.0169964i | ||||
\(555\) | 350655. | + | 2.48613e6i | 0.0483222 | + | 0.342604i | ||||
\(556\) | 127016. | + | 720345.i | 0.0174250 | + | 0.0988220i | ||||
\(557\) | 2.06483e6 | − | 3.57638e6i | 0.281998 | − | 0.488434i | −0.689879 | − | 0.723925i | \(-0.742336\pi\) |
0.971877 | + | 0.235490i | \(0.0756696\pi\) | |||||||
\(558\) | −1.05936e6 | + | 771267.i | −0.144031 | + | 0.104862i | ||||
\(559\) | −4.22210e6 | − | 7.31289e6i | −0.571477 | − | 0.989828i | ||||
\(560\) | −1.20152e6 | + | 1.00819e6i | −0.161905 | + | 0.135854i | ||||
\(561\) | 3.34858e6 | + | 6.29027e6i | 0.449214 | + | 0.843844i | ||||
\(562\) | 750611. | − | 4.25693e6i | 0.100248 | − | 0.568532i | ||||
\(563\) | 1.03797e7 | + | 8.70963e6i | 1.38012 | + | 1.15805i | 0.969170 | + | 0.246394i | \(0.0792459\pi\) |
0.410946 | + | 0.911660i | \(0.365199\pi\) | |||||||
\(564\) | 1.25695e6 | + | 1.13064e6i | 0.166387 | + | 0.149667i | ||||
\(565\) | −3.29757e6 | − | 1.20022e6i | −0.434583 | − | 0.158175i | ||||
\(566\) | −46057.4 | −0.00604308 | ||||||||
\(567\) | 4.51333e6 | − | 5.80036e6i | 0.589575 | − | 0.757700i | ||||
\(568\) | −2.01608e6 | −0.262203 | ||||||||
\(569\) | 4.20878e6 | + | 1.53187e6i | 0.544974 | + | 0.198354i | 0.599812 | − | 0.800141i | \(-0.295242\pi\) |
−0.0548380 | + | 0.998495i | \(0.517464\pi\) | |||||||
\(570\) | −1.87036e6 | − | 1.68241e6i | −0.241122 | − | 0.216892i | ||||
\(571\) | −6.94081e6 | − | 5.82403e6i | −0.890882 | − | 0.747539i | 0.0775049 | − | 0.996992i | \(-0.475305\pi\) |
−0.968387 | + | 0.249453i | \(0.919749\pi\) | |||||||
\(572\) | −310198. | + | 1.75922e6i | −0.0396414 | + | 0.224818i | ||||
\(573\) | 3.53856e6 | + | 6.64714e6i | 0.450235 | + | 0.845762i | ||||
\(574\) | 4.00099e6 | − | 3.35723e6i | 0.506860 | − | 0.425306i | ||||
\(575\) | 3.76705e6 | + | 6.52472e6i | 0.475151 | + | 0.822986i | ||||
\(576\) | −8.08794e6 | − | 3.59142e6i | −1.01574 | − | 0.451035i | ||||
\(577\) | 283566. | − | 491151.i | 0.0354580 | − | 0.0614151i | −0.847752 | − | 0.530393i | \(-0.822044\pi\) |
0.883210 | + | 0.468978i | \(0.155378\pi\) | |||||||
\(578\) | −684801. | − | 3.88370e6i | −0.0852599 | − | 0.483533i | ||||
\(579\) | −1.01667e6 | − | 7.20814e6i | −0.126032 | − | 0.893566i | ||||
\(580\) | −266713. | + | 97075.6i | −0.0329211 | + | 0.0119823i | ||||
\(581\) | −3.82172e6 | + | 1.39099e6i | −0.469698 | + | 0.170956i | ||||
\(582\) | −1.01811e7 | + | 7.96242e6i | −1.24591 | + | 0.974401i | ||||
\(583\) | 1.49253e6 | + | 8.46455e6i | 0.181866 | + | 1.03141i | ||||
\(584\) | 2.15832e6 | − | 3.73832e6i | 0.261869 | − | 0.453570i | ||||
\(585\) | 1.89155e6 | − | 544414.i | 0.228522 | − | 0.0657717i | ||||
\(586\) | 3.98168e6 | + | 6.89648e6i | 0.478986 | + | 0.829628i | ||||
\(587\) | −5.33882e6 | + | 4.47980e6i | −0.639514 | + | 0.536616i | −0.903869 | − | 0.427810i | \(-0.859285\pi\) |
0.264355 | + | 0.964425i | \(0.414841\pi\) | |||||||
\(588\) | 126968. | + | 4371.07i | 0.0151443 | + | 0.000521368i | ||||
\(589\) | −365910. | + | 2.07518e6i | −0.0434596 | + | 0.246472i | ||||
\(590\) | −489456. | − | 410702.i | −0.0578873 | − | 0.0485732i | ||||
\(591\) | 1.48117e6 | − | 6.98529e6i | 0.174435 | − | 0.822651i | ||||
\(592\) | −7.44721e6 | − | 2.71056e6i | −0.873352 | − | 0.317874i | ||||
\(593\) | 8.17118e6 | 0.954219 | 0.477109 | − | 0.878844i | \(-0.341685\pi\) | ||||
0.477109 | + | 0.878844i | \(0.341685\pi\) | |||||||
\(594\) | 7.62890e6 | + | 7.87658e6i | 0.887147 | + | 0.915950i | ||||
\(595\) | −1.59789e6 | −0.185036 | ||||||||
\(596\) | −397836. | − | 144801.i | −0.0458763 | − | 0.0166976i | ||||
\(597\) | −1.01438e7 | + | 3.30147e6i | −1.16484 | + | 0.379116i | ||||
\(598\) | 5.17268e6 | + | 4.34039e6i | 0.591511 | + | 0.496336i | ||||
\(599\) | 1.00804e6 | − | 5.71685e6i | 0.114791 | − | 0.651013i | −0.872062 | − | 0.489395i | \(-0.837218\pi\) |
0.986853 | − | 0.161618i | \(-0.0516713\pi\) | |||||||
\(600\) | −4.59449e6 | + | 7.36081e6i | −0.521026 | + | 0.834733i | ||||
\(601\) | −2.16692e6 | + | 1.81827e6i | −0.244713 | + | 0.205339i | −0.756892 | − | 0.653540i | \(-0.773283\pi\) |
0.512179 | + | 0.858879i | \(0.328839\pi\) | |||||||
\(602\) | 5.27418e6 | + | 9.13515e6i | 0.593149 | + | 1.02736i | ||||
\(603\) | 6.64285e6 | + | 1.35858e7i | 0.743979 | + | 1.52157i | ||||
\(604\) | 299458. | − | 518676.i | 0.0333997 | − | 0.0578500i | ||||
\(605\) | −454819. | − | 2.57941e6i | −0.0505185 | − | 0.286505i | ||||
\(606\) | −1.32095e6 | − | 532939.i | −0.146118 | − | 0.0589517i | ||||
\(607\) | 9.67112e6 | − | 3.52000e6i | 1.06538 | − | 0.387767i | 0.250934 | − | 0.968004i | \(-0.419262\pi\) |
0.814448 | + | 0.580237i | \(0.197040\pi\) | |||||||
\(608\) | −4.11968e6 | + | 1.49944e6i | −0.451964 | + | 0.164502i | ||||
\(609\) | 5.15235e6 | + | 2.07873e6i | 0.562940 | + | 0.227119i | ||||
\(610\) | 481096. | + | 2.72843e6i | 0.0523489 | + | 0.296885i | ||||
\(611\) | 4.43159e6 | − | 7.67575e6i | 0.480239 | − | 0.831798i | ||||
\(612\) | −530343. | − | 1.08465e6i | −0.0572372 | − | 0.117060i | ||||
\(613\) | −5.47792e6 | − | 9.48803e6i | −0.588795 | − | 1.01982i | −0.994391 | − | 0.105771i | \(-0.966269\pi\) |
0.405595 | − | 0.914053i | \(-0.367064\pi\) | |||||||
\(614\) | −455563. | + | 382263.i | −0.0487672 | + | 0.0409206i | ||||
\(615\) | −1.09116e6 | + | 1.74815e6i | −0.116333 | + | 0.186376i | ||||
\(616\) | 2.38956e6 | − | 1.35519e7i | 0.253727 | − | 1.43896i | ||||
\(617\) | 878004. | + | 736733.i | 0.0928503 | + | 0.0779107i | 0.688031 | − | 0.725681i | \(-0.258475\pi\) |
−0.595181 | + | 0.803592i | \(0.702920\pi\) | |||||||
\(618\) | −1.10182e7 | + | 3.58603e6i | −1.16048 | + | 0.377696i | ||||
\(619\) | 1.04258e6 | + | 379469.i | 0.109366 | + | 0.0398061i | 0.396124 | − | 0.918197i | \(-0.370355\pi\) |
−0.286757 | + | 0.958003i | \(0.592577\pi\) | |||||||
\(620\) | −105215. | −0.0109925 | ||||||||
\(621\) | −9.64873e6 | + | 2.42088e6i | −1.00402 | + | 0.251909i | ||||
\(622\) | −5.58514e6 | −0.578840 | ||||||||
\(623\) | −1.36126e7 | − | 4.95460e6i | −1.40515 | − | 0.511433i | ||||
\(624\) | −1.28877e6 | + | 6.07791e6i | −0.132499 | + | 0.624875i | ||||
\(625\) | 5.69186e6 | + | 4.77604e6i | 0.582846 | + | 0.489066i | ||||
\(626\) | 2.24131e6 | − | 1.27111e7i | 0.228595 | − | 1.29643i | ||||
\(627\) | 1.76228e7 | + | 606695.i | 1.79022 | + | 0.0616314i | ||||
\(628\) | 1.18398e6 | − | 993478.i | 0.119797 | − | 0.100522i | ||||
\(629\) | −4.03691e6 | − | 6.99214e6i | −0.406839 | − | 0.704666i | ||||
\(630\) | −2.36289e6 | + | 680073.i | −0.237188 | + | 0.0682659i | ||||
\(631\) | 5.28002e6 | − | 9.14525e6i | 0.527912 | − | 0.914371i | −0.471558 | − | 0.881835i | \(-0.656308\pi\) |
0.999471 | − | 0.0325360i | \(-0.0103584\pi\) | |||||||
\(632\) | 2.88619e6 | + | 1.63684e7i | 0.287430 | + | 1.63010i | ||||
\(633\) | 6.64822e6 | − | 5.19945e6i | 0.659472 | − | 0.515760i | ||||
\(634\) | 2.06683e6 | − | 752266.i | 0.204212 | − | 0.0743273i | ||||
\(635\) | 1.06758e6 | − | 388566.i | 0.105067 | − | 0.0382411i | ||||
\(636\) | −203385. | − | 1.44200e6i | −0.0199378 | − | 0.141358i | ||||
\(637\) | −115654. | − | 655904.i | −0.0112930 | − | 0.0640460i | ||||
\(638\) | −4.14471e6 | + | 7.17885e6i | −0.403128 | + | 0.698238i | ||||
\(639\) | −2.30771e6 | − | 1.02473e6i | −0.223578 | − | 0.0992791i | ||||
\(640\) | 914829. | + | 1.58453e6i | 0.0882856 | + | 0.152915i | ||||
\(641\) | −1.22639e7 | + | 1.02906e7i | −1.17892 | + | 0.989228i | −0.178930 | + | 0.983862i | \(0.557264\pi\) |
−0.999986 | + | 0.00536602i | \(0.998292\pi\) | |||||||
\(642\) | −7.44505e6 | − | 1.39854e7i | −0.712902 | − | 1.33918i | ||||
\(643\) | −1.33135e6 | + | 7.55046e6i | −0.126989 | + | 0.720188i | 0.853118 | + | 0.521718i | \(0.174709\pi\) |
−0.980107 | + | 0.198471i | \(0.936403\pi\) | |||||||
\(644\) | 1.55078e6 | + | 1.30126e6i | 0.147345 | + | 0.123637i | ||||
\(645\) | −3.09429e6 | − | 2.78335e6i | −0.292861 | − | 0.263432i | ||||
\(646\) | 7.60189e6 | + | 2.76686e6i | 0.716705 | + | 0.260859i | ||||
\(647\) | 1.47237e7 | 1.38279 | 0.691397 | − | 0.722475i | \(-0.256996\pi\) | ||||
0.691397 | + | 0.722475i | \(0.256996\pi\) | |||||||
\(648\) | −7.68295e6 | − | 8.49898e6i | −0.718771 | − | 0.795113i | ||||
\(649\) | 4.47852e6 | 0.417371 | ||||||||
\(650\) | 6.93177e6 | + | 2.52296e6i | 0.643518 | + | 0.234221i | ||||
\(651\) | 1.53122e6 | + | 1.37735e6i | 0.141607 | + | 0.127377i | ||||
\(652\) | −2.06351e6 | − | 1.73149e6i | −0.190103 | − | 0.159515i | ||||
\(653\) | 2.25011e6 | − | 1.27610e7i | 0.206501 | − | 1.17112i | −0.688560 | − | 0.725179i | \(-0.741757\pi\) |
0.895061 | − | 0.445944i | \(-0.147132\pi\) | |||||||
\(654\) | 4.36490e6 | + | 8.19941e6i | 0.399052 | + | 0.749615i | ||||
\(655\) | −1.29181e6 | + | 1.08396e6i | −0.117651 | + | 0.0987208i | ||||
\(656\) | −3.25236e6 | − | 5.63326e6i | −0.295080 | − | 0.511093i | ||||
\(657\) | 4.37062e6 | − | 3.18204e6i | 0.395030 | − | 0.287602i | ||||
\(658\) | −5.53588e6 | + | 9.58842e6i | −0.498450 | + | 0.863341i | ||||
\(659\) | −3.44324e6 | − | 1.95276e7i | −0.308855 | − | 1.75160i | −0.604782 | − | 0.796391i | \(-0.706740\pi\) |
0.295927 | − | 0.955210i | \(-0.404371\pi\) | |||||||
\(660\) | 122965. | + | 871822.i | 0.0109881 | + | 0.0779055i | ||||
\(661\) | −6.26872e6 | + | 2.28163e6i | −0.558053 | + | 0.203115i | −0.605621 | − | 0.795753i | \(-0.707075\pi\) |
0.0475680 | + | 0.998868i | \(0.484853\pi\) | |||||||
\(662\) | 3.27345e6 | − | 1.19144e6i | 0.290309 | − | 0.105664i | ||||
\(663\) | −4.98587e6 | + | 3.89935e6i | −0.440511 | + | 0.344515i | ||||
\(664\) | 1.10092e6 | + | 6.24363e6i | 0.0969027 | + | 0.549563i | ||||
\(665\) | −1.97698e6 | + | 3.42423e6i | −0.173360 | + | 0.300268i | ||||
\(666\) | −8.94549e6 | − | 8.62152e6i | −0.781482 | − | 0.753179i | ||||
\(667\) | −3.76007e6 | − | 6.51263e6i | −0.327251 | − | 0.566815i | ||||
\(668\) | 3.08392e6 | − | 2.58771e6i | 0.267400 | − | 0.224375i | ||||
\(669\) | 2.01288e7 | + | 692969.i | 1.73882 | + | 0.0598616i | ||||
\(670\) | 878568. | − | 4.98261e6i | 0.0756116 | − | 0.428815i | ||||
\(671\) | −1.48762e7 | − | 1.24826e7i | −1.27551 | − | 1.07028i | ||||
\(672\) | −888819. | + | 4.19174e6i | −0.0759259 | + | 0.358072i | ||||
\(673\) | −1.50707e6 | − | 548528.i | −0.128261 | − | 0.0466833i | 0.277092 | − | 0.960843i | \(-0.410629\pi\) |
−0.405353 | + | 0.914160i | \(0.632851\pi\) | |||||||
\(674\) | −1.18313e7 | −1.00319 | ||||||||
\(675\) | −9.00043e6 | + | 6.09027e6i | −0.760333 | + | 0.514491i | ||||
\(676\) | 712903. | 0.0600017 | ||||||||
\(677\) | 5.09400e6 | + | 1.85406e6i | 0.427157 | + | 0.155472i | 0.546647 | − | 0.837363i | \(-0.315904\pi\) |
−0.119490 | + | 0.992835i | \(0.538126\pi\) | |||||||
\(678\) | 1.65120e7 | − | 5.37409e6i | 1.37951 | − | 0.448984i | ||||
\(679\) | 1.55617e7 | + | 1.30578e7i | 1.29534 | + | 1.08692i | ||||
\(680\) | −432544. | + | 2.45308e6i | −0.0358722 | + | 0.203441i | ||||
\(681\) | 7.92815e6 | − | 1.27016e7i | 0.655094 | − | 1.04952i | ||||
\(682\) | −2.35394e6 | + | 1.97519e6i | −0.193792 | + | 0.162611i | ||||
\(683\) | 4.03533e6 | + | 6.98940e6i | 0.331000 | + | 0.573308i | 0.982708 | − | 0.185161i | \(-0.0592808\pi\) |
−0.651708 | + | 0.758470i | \(0.725947\pi\) | |||||||
\(684\) | −2.98052e6 | − | 205462.i | −0.243586 | − | 0.0167916i | ||||
\(685\) | 1.69232e6 | − | 2.93118e6i | 0.137802 | − | 0.238680i | ||||
\(686\) | 1.98977e6 | + | 1.12845e7i | 0.161433 | + | 0.915533i | ||||
\(687\) | 1.88398e6 | + | 760096.i | 0.152295 | + | 0.0614436i | ||||
\(688\) | 1.23449e7 | − | 4.49316e6i | 0.994295 | − | 0.361894i | ||||
\(689\) | −7.17408e6 | + | 2.61115e6i | −0.575729 | + | 0.209548i | ||||
\(690\) | 3.08638e6 | + | 1.24521e6i | 0.246790 | + | 0.0995679i | ||||
\(691\) | 2.74444e6 | + | 1.55645e7i | 0.218654 | + | 1.24005i | 0.874451 | + | 0.485113i | \(0.161222\pi\) |
−0.655797 | + | 0.754937i | \(0.727667\pi\) | |||||||
\(692\) | −1.97395e6 | + | 3.41897e6i | −0.156700 | + | 0.271413i | ||||
\(693\) | 9.62333e6 | − | 1.42976e7i | 0.761188 | − | 1.13091i | ||||
\(694\) | −5.07983e6 | − | 8.79852e6i | −0.400360 | − | 0.693443i | ||||
\(695\) | 1.44783e6 | − | 1.21488e6i | 0.113699 | − | 0.0954047i | ||||
\(696\) | 4.58598e6 | − | 7.34716e6i | 0.358847 | − | 0.574906i | ||||
\(697\) | 1.15072e6 | − | 6.52608e6i | 0.0897200 | − | 0.508827i | ||||
\(698\) | −2.91772e6 | − | 2.44826e6i | −0.226676 | − | 0.190204i | ||||
\(699\) | 8.79642e6 | − | 2.86293e6i | 0.680946 | − | 0.221624i | ||||
\(700\) | 2.07816e6 | + | 756389.i | 0.160300 | + | 0.0583445i | ||||
\(701\) | −2.34265e6 | −0.180058 | −0.0900291 | − | 0.995939i | \(-0.528696\pi\) | ||||
−0.0900291 | + | 0.995939i | \(0.528696\pi\) | |||||||
\(702\) | −5.71328e6 | + | 7.88819e6i | −0.437565 | + | 0.604136i | ||||
\(703\) | −1.99786e7 | −1.52467 | ||||||||
\(704\) | −1.95006e7 | − | 7.09765e6i | −1.48292 | − | 0.539738i | ||||
\(705\) | 906140. | − | 4.27342e6i | 0.0686630 | − | 0.323820i | ||||
\(706\) | −7.19831e6 | − | 6.04010e6i | −0.543524 | − | 0.456071i | ||||
\(707\) | −388757. | + | 2.20475e6i | −0.0292502 | + | 0.165886i | ||||
\(708\) | −758344. | − | 26107.2i | −0.0568569 | − | 0.00195739i | ||||
\(709\) | −7.41609e6 | + | 6.22284e6i | −0.554063 | + | 0.464914i | −0.876314 | − | 0.481740i | \(-0.840005\pi\) |
0.322251 | + | 0.946654i | \(0.395561\pi\) | |||||||
\(710\) | 422378. | + | 731581.i | 0.0314453 | + | 0.0544649i | ||||
\(711\) | −5.01602e6 | + | 2.02031e7i | −0.372122 | + | 1.49880i | ||||
\(712\) | −1.12912e7 | + | 1.95569e7i | −0.834717 | + | 1.44577i | ||||
\(713\) | −484076. | − | 2.74533e6i | −0.0356607 | − | 0.202242i | ||||
\(714\) | 6.22827e6 | − | 4.87101e6i | 0.457216 | − | 0.357580i | ||||
\(715\) | 4.33741e6 | − | 1.57869e6i | 0.317296 | − | 0.115486i | ||||
\(716\) | 760955. | − | 276965.i | 0.0554723 | − | 0.0201903i | ||||
\(717\) | −2.69915e6 | − | 1.91369e7i | −0.196078 | − | 1.39019i | ||||
\(718\) | 225698. | + | 1.28000e6i | 0.0163387 | + | 0.0926613i | ||||
\(719\) | 1.26143e6 | − | 2.18486e6i | 0.0909998 | − | 0.157616i | −0.816932 | − | 0.576734i | \(-0.804327\pi\) |
0.907932 | + | 0.419117i | \(0.137660\pi\) | |||||||
\(720\) | 323098. | + | 3.04516e6i | 0.0232275 | + | 0.218916i | ||||
\(721\) | 9.10576e6 | + | 1.57716e7i | 0.652346 | + | 1.12990i | ||||
\(722\) | 5.69891e6 | − | 4.78195e6i | 0.406863 | − | 0.341399i | ||||
\(723\) | −7.65536e6 | − | 1.43805e7i | −0.544653 | − | 1.02312i | ||||
\(724\) | −42275.3 | + | 239755.i | −0.00299737 | + | 0.0169989i | ||||
\(725\) | −6.29327e6 | − | 5.28068e6i | −0.444663 | − | 0.373117i | ||||
\(726\) | 9.63584e6 | + | 8.66754e6i | 0.678497 | + | 0.610316i | ||||
\(727\) | −2.46653e7 | − | 8.97742e6i | −1.73081 | − | 0.629964i | −0.732124 | − | 0.681172i | \(-0.761471\pi\) |
−0.998688 | + | 0.0512076i | \(0.983693\pi\) | |||||||
\(728\) | 1.22229e7 | 0.854766 | ||||||||
\(729\) | −4.47445e6 | − | 1.36334e7i | −0.311832 | − | 0.950137i | ||||
\(730\) | −1.80871e6 | −0.125621 | ||||||||
\(731\) | 1.25764e7 | + | 4.57745e6i | 0.870492 | + | 0.316833i | ||||
\(732\) | 2.44620e6 | + | 2.20038e6i | 0.168739 | + | 0.151782i | ||||
\(733\) | 1.12013e7 | + | 9.39899e6i | 0.770030 | + | 0.646132i | 0.940717 | − | 0.339193i | \(-0.110154\pi\) |
−0.170686 | + | 0.985325i | \(0.554598\pi\) | |||||||
\(734\) | −763970. | + | 4.33269e6i | −0.0523403 | + | 0.296837i | ||||
\(735\) | −154254. | − | 289765.i | −0.0105322 | − | 0.0197846i | ||||
\(736\) | 4.44294e6 | − | 3.72807e6i | 0.302326 | − | 0.253682i | ||||
\(737\) | 1.77317e7 | + | 3.07122e7i | 1.20249 | + | 2.08277i | ||||
\(738\) | −1.07590e6 | − | 1.01402e7i | −0.0727162 | − | 0.685340i | ||||
\(739\) | −6.87128e6 | + | 1.19014e7i | −0.462835 | + | 0.801654i | −0.999101 | − | 0.0423949i | \(-0.986501\pi\) |
0.536266 | + | 0.844049i | \(0.319835\pi\) | |||||||
\(740\) | −173223. | − | 982399.i | −0.0116286 | − | 0.0659491i | ||||
\(741\) | 2.18745e6 | + | 1.55090e7i | 0.146350 | + | 1.03762i | ||||
\(742\) | 8.96174e6 | − | 3.26181e6i | 0.597561 | − | 0.217495i | ||||
\(743\) | −1.54238e7 | + | 5.61382e6i | −1.02499 | + | 0.373067i | −0.799172 | − | 0.601103i | \(-0.794728\pi\) |
−0.225820 | + | 0.974169i | \(0.572506\pi\) | |||||||
\(744\) | 2.52899e6 | − | 1.97788e6i | 0.167500 | − | 0.130999i | ||||
\(745\) | 189961. | + | 1.07732e6i | 0.0125393 | + | 0.0711138i | ||||
\(746\) | −2.35820e6 | + | 4.08451e6i | −0.155143 | + | 0.268716i | ||||
\(747\) | −1.91333e6 | + | 7.70635e6i | −0.125455 | + | 0.505298i | ||||
\(748\) | −1.41564e6 | − | 2.45196e6i | −0.0925122 | − | 0.160236i | ||||
\(749\) | −1.90758e7 | + | 1.60065e7i | −1.24245 | + | 1.04254i | ||||
\(750\) | 7.59157e6 | + | 261352.i | 0.492809 | + | 0.0169658i | ||||
\(751\) | −1.73289e6 | + | 9.82771e6i | −0.112117 | + | 0.635847i | 0.876020 | + | 0.482274i | \(0.160189\pi\) |
−0.988137 | + | 0.153573i | \(0.950922\pi\) | |||||||
\(752\) | 1.05630e7 | + | 8.86338e6i | 0.681148 | + | 0.571551i | ||||
\(753\) | −2.16836e6 | + | 1.02262e7i | −0.139362 | + | 0.657242i | ||||
\(754\) | −6.91892e6 | − | 2.51828e6i | −0.443210 | − | 0.161315i | ||||
\(755\) | −1.54753e6 | −0.0988036 | ||||||||
\(756\) | −1.71286e6 | + | 2.36490e6i | −0.108998 | + | 0.150490i | ||||
\(757\) | 1.33937e7 | 0.849495 | 0.424747 | − | 0.905312i | \(-0.360363\pi\) | ||||
0.424747 | + | 0.905312i | \(0.360363\pi\) | |||||||
\(758\) | −9.05695e6 | − | 3.29646e6i | −0.572544 | − | 0.208389i | ||||
\(759\) | −2.21824e7 | + | 7.21961e6i | −1.39767 | + | 0.454893i | ||||
\(760\) | 4.72170e6 | + | 3.96198e6i | 0.296527 | + | 0.248816i | ||||
\(761\) | 2.48937e6 | − | 1.41179e7i | 0.155822 | − | 0.883708i | −0.802209 | − | 0.597043i | \(-0.796342\pi\) |
0.958031 | − | 0.286665i | \(-0.0925467\pi\) | |||||||
\(762\) | −2.97670e6 | + | 4.76894e6i | −0.185715 | + | 0.297533i | ||||
\(763\) | 1.11838e7 | − | 9.38433e6i | 0.695470 | − | 0.583569i | ||||
\(764\) | −1.49595e6 | − | 2.59107e6i | −0.0927225 | − | 0.160600i | ||||
\(765\) | −1.74196e6 | + | 2.58807e6i | −0.107618 | + | 0.159890i | ||||
\(766\) | 8.84455e6 | − | 1.53192e7i | 0.544633 | − | 0.943331i | ||||
\(767\) | 690769. | + | 3.91754e6i | 0.0423979 | + | 0.240450i | ||||
\(768\) | 8.45067e6 | + | 3.40944e6i | 0.516997 | + | 0.208584i | ||||
\(769\) | −2.58525e6 | + | 940956.i | −0.157648 | + | 0.0573791i | −0.419639 | − | 0.907691i | \(-0.637843\pi\) |
0.261991 | + | 0.965070i | \(0.415621\pi\) | |||||||
\(770\) | −5.41822e6 | + | 1.97207e6i | −0.329329 | + | 0.119866i | ||||
\(771\) | 1.59880e7 | + | 6.45039e6i | 0.968630 | + | 0.390796i | ||||
\(772\) | 502233. | + | 2.84831e6i | 0.0303293 | + | 0.172006i | ||||
\(773\) | 5.55475e6 | − | 9.62111e6i | 0.334361 | − | 0.579130i | −0.649001 | − | 0.760788i | \(-0.724813\pi\) |
0.983362 | + | 0.181657i | \(0.0581462\pi\) | |||||||
\(774\) | 2.05457e7 | + | 1.41631e6i | 1.23273 | + | 0.0849782i | ||||
\(775\) | −1.52268e6 | − | 2.63737e6i | −0.0910659 | − | 0.157731i | ||||
\(776\) | 2.42588e7 | − | 2.03556e7i | 1.44616 | − | 1.21347i | ||||
\(777\) | −1.03394e7 | + | 1.65648e7i | −0.614391 | + | 0.984312i | ||||
\(778\) | −2.06567e6 | + | 1.17150e7i | −0.122352 | + | 0.693895i | ||||
\(779\) | −1.25614e7 | − | 1.05403e7i | −0.741645 | − | 0.622314i | ||||
\(780\) | −743652. | + | 242033.i | −0.0437656 | + | 0.0142442i | ||||
\(781\) | −5.56406e6 | − | 2.02515e6i | −0.326411 | − | 0.118804i | ||||
\(782\) | −1.07023e7 | −0.625833 | ||||||||
\(783\) | 8.98374e6 | − | 6.07898e6i | 0.523664 | − | 0.354345i | ||||
\(784\) | 1.03617e6 | 0.0602061 | ||||||||
\(785\) | −3.75277e6 | − | 1.36589e6i | −0.217359 | − | 0.0791121i | ||||
\(786\) | 1.73089e6 | − | 8.16299e6i | 0.0999337 | − | 0.471295i | ||||
\(787\) | −8.36901e6 | − | 7.02243e6i | −0.481656 | − | 0.404157i | 0.369369 | − | 0.929283i | \(-0.379574\pi\) |
−0.851025 | + | 0.525125i | \(0.824018\pi\) | |||||||
\(788\) | −492651. | + | 2.79396e6i | −0.0282633 | + | 0.160289i | ||||
\(789\) | −8.12210e6 | − | 279617.i | −0.464490 | − | 0.0159908i | ||||
\(790\) | 5.33497e6 | − | 4.47657e6i | 0.304134 | − | 0.255198i | ||||
\(791\) | −1.36461e7 | − | 2.36357e7i | −0.775472 | − | 1.34316i | ||||
\(792\) | −1.93446e7 | − | 1.86440e7i | −1.09584 | − | 1.05615i | ||||
\(793\) | 8.62451e6 | − | 1.49381e7i | 0.487025 | − | 0.843553i | ||||
\(794\) | 1.88460e6 | + | 1.06881e7i | 0.106089 | + | 0.601659i | ||||
\(795\) | −2.96402e6 | + | 2.31810e6i | −0.166327 | + | 0.130081i | ||||
\(796\) | 3.98278e6 | − | 1.44961e6i | 0.222794 | − | 0.0810904i | ||||
\(797\) | 2.10307e7 | − | 7.65455e6i | 1.17276 | − | 0.426848i | 0.319118 | − | 0.947715i | \(-0.396613\pi\) |
0.853638 | + | 0.520867i | \(0.174391\pi\) | |||||||
\(798\) | −2.73253e6 | − | 1.93736e7i | −0.151900 | − | 1.07697i | ||||
\(799\) | 2.43935e6 | + | 1.38342e7i | 0.135178 | + | 0.766634i | ||||
\(800\) | 3.16798e6 | − | 5.48711e6i | 0.175008 | − | 0.303123i | ||||
\(801\) | −2.28648e7 | + | 1.66468e7i | −1.25917 | + | 0.916744i | ||||
\(802\) | −1.30441e7 | − | 2.25930e7i | −0.716107 | − | 1.24033i | ||||
\(803\) | 9.71174e6 | − | 8.14912e6i | 0.531506 | − | 0.445987i | ||||
\(804\) | −2.82346e6 | − | 5.30383e6i | −0.154043 | − | 0.289368i | ||||
\(805\) | 908327. | − | 5.15138e6i | 0.0494029 | − | 0.280178i | ||||
\(806\) | −2.09086e6 | − | 1.75444e6i | −0.113367 | − | 0.0951262i | ||||
\(807\) | −8.72033e6 | − | 7.84403e6i | −0.471356 | − | 0.423990i | ||||
\(808\) | 3.27949e6 | + | 1.19364e6i | 0.176717 | + | 0.0643196i | ||||
\(809\) | 1.69242e7 | 0.909153 | 0.454576 | − | 0.890708i | \(-0.349791\pi\) | ||||
0.454576 | + | 0.890708i | \(0.349791\pi\) | |||||||
\(810\) | −1.47443e6 | + | 4.56850e6i | −0.0789609 | + | 0.244659i | ||||
\(811\) | 2.67183e6 | 0.142645 | 0.0713226 | − | 0.997453i | \(-0.477278\pi\) | ||||
0.0713226 | + | 0.997453i | \(0.477278\pi\) | |||||||
\(812\) | −2.07431e6 | − | 754986.i | −0.110404 | − | 0.0401836i | ||||
\(813\) | −1.22249e7 | − | 1.09964e7i | −0.648663 | − | 0.583479i | ||||
\(814\) | −2.23181e7 | − | 1.87271e7i | −1.18058 | − | 0.990624i | ||||
\(815\) | −1.20864e6 | + | 6.85456e6i | −0.0637389 | + | 0.361481i | ||||
\(816\) | −4.62733e6 | − | 8.69239e6i | −0.243279 | − | 0.456997i | ||||
\(817\) | 2.53694e7 | − | 2.12875e7i | 1.32971 | − | 1.11576i | ||||
\(818\) | −423491. | − | 733508.i | −0.0221290 | − | 0.0383285i | ||||
\(819\) | 1.39910e7 | + | 6.21265e6i | 0.728851 | + | 0.323644i | ||||
\(820\) | 409381. | − | 709069.i | 0.0212615 | − | 0.0368259i | ||||
\(821\) | 930322. | + | 5.27612e6i | 0.0481699 | + | 0.273185i | 0.999374 | − | 0.0353774i | \(-0.0112633\pi\) |
−0.951204 | + | 0.308562i | \(0.900152\pi\) | |||||||
\(822\) | 2.33908e6 | + | 1.65840e7i | 0.120744 | + | 0.856072i | ||||
\(823\) | −335553. | + | 122131.i | −0.0172688 | + | 0.00628531i | −0.350640 | − | 0.936510i | \(-0.614036\pi\) |
0.333371 | + | 0.942796i | \(0.391814\pi\) | |||||||
\(824\) | 2.66775e7 | − | 9.70980e6i | 1.36876 | − | 0.498187i | ||||
\(825\) | −2.00740e7 | + | 1.56995e7i | −1.02683 | + | 0.803064i | ||||
\(826\) | −862897. | − | 4.89373e6i | −0.0440057 | − | 0.249569i | ||||
\(827\) | −5.45986e6 | + | 9.45675e6i | −0.277599 | + | 0.480815i | −0.970787 | − | 0.239941i | \(-0.922872\pi\) |
0.693189 | + | 0.720756i | \(0.256205\pi\) | |||||||
\(828\) | 3.79822e6 | − | 1.09318e6i | 0.192532 | − | 0.0554135i | ||||
\(829\) | 1.31289e7 | + | 2.27398e7i | 0.663499 | + | 1.14921i | 0.979690 | + | 0.200519i | \(0.0642628\pi\) |
−0.316190 | + | 0.948696i | \(0.602404\pi\) | |||||||
\(830\) | 2.03499e6 | − | 1.70756e6i | 0.102534 | − | 0.0860362i | ||||
\(831\) | −1.10093e6 | − | 37901.4i | −0.0553042 | − | 0.00190394i | ||||
\(832\) | 3.20082e6 | − | 1.81527e7i | 0.160307 | − | 0.909146i | ||||
\(833\) | 808643. | + | 678532.i | 0.0403779 | + | 0.0338811i | ||||
\(834\) | −1.93994e6 | + | 9.14890e6i | −0.0965769 | + | 0.455464i | ||||
\(835\) | −9.77484e6 | − | 3.55775e6i | −0.485169 | − | 0.176587i | ||||
\(836\) | −7.00596e6 | −0.346699 | ||||||||
\(837\) | 3.90013e6 | − | 978546.i | 0.192427 | − | 0.0482801i | ||||
\(838\) | −6.04088e6 | −0.297160 | ||||||||
\(839\) | 1.64371e7 | + | 5.98262e6i | 0.806158 | + | 0.293418i | 0.712036 | − | 0.702143i | \(-0.247773\pi\) |
0.0941223 | + | 0.995561i | \(0.469996\pi\) | |||||||
\(840\) | 5.72860e6 | − | 1.86446e6i | 0.280124 | − | 0.0911706i | ||||
\(841\) | −9.43085e6 | − | 7.91343e6i | −0.459792 | − | 0.385811i | ||||
\(842\) | −5.19569e6 | + | 2.94663e7i | −0.252559 | + | 1.43234i | ||||
\(843\) | −7.02344e6 | + | 1.12522e7i | −0.340393 | + | 0.545342i | ||||
\(844\) | −2.56879e6 | + | 2.15547e6i | −0.124129 | + | 0.104157i | ||||
\(845\) | −921033. | − | 1.59528e6i | −0.0443745 | − | 0.0768589i | ||||
\(846\) | 9.49512e6 | + | 1.94192e7i | 0.456115 | + | 0.932837i | ||||
\(847\) | 1.01852e7 | − | 1.76412e7i | 0.487819 | − | 0.844928i | ||||
\(848\) | −2.06249e6 | − | 1.16970e7i | −0.0984924 | − | 0.558578i | ||||
\(849\) | 131066. | + | 52878.9i | 0.00624052 | + | 0.00251775i | ||||
\(850\) | −1.09865e7 | + | 3.99874e6i | −0.521567 | + | 0.189835i | ||||
\(851\) | 2.48364e7 | − | 9.03972e6i | 1.17562 | − | 0.427889i | ||||
\(852\) | 930353. | + | 375353.i | 0.0439085 | + | 0.0177150i | ||||
\(853\) | −5.46987e6 | − | 3.10212e7i | −0.257398 | − | 1.45977i | −0.789843 | − | 0.613310i | \(-0.789838\pi\) |
0.532445 | − | 0.846465i | \(-0.321273\pi\) | |||||||
\(854\) | −1.07736e7 | + | 1.86604e7i | −0.505494 | + | 0.875542i | ||||
\(855\) | 3.39091e6 | + | 6.93502e6i | 0.158636 | + | 0.324439i | ||||
\(856\) | 1.94094e7 | + | 3.36181e7i | 0.905373 | + | 1.56815i | ||||
\(857\) | −1.10560e7 | + | 9.27712e6i | −0.514218 | + | 0.431481i | −0.862611 | − | 0.505868i | \(-0.831172\pi\) |
0.348392 | + | 0.937349i | \(0.386728\pi\) | |||||||
\(858\) | −1.20939e7 | + | 1.93755e7i | −0.560851 | + | 0.898535i | ||||
\(859\) | 18454.9 | − | 104663.i | 0.000853355 | − | 0.00483961i | −0.984378 | − | 0.176067i | \(-0.943662\pi\) |
0.985231 | + | 0.171228i | \(0.0547734\pi\) | |||||||
\(860\) | 1.26673e6 | + | 1.06291e6i | 0.0584032 | + | 0.0490061i | ||||
\(861\) | −1.52401e7 | + | 4.96014e6i | −0.700617 | + | 0.228027i | ||||
\(862\) | 2.52963e7 | + | 9.20710e6i | 1.15955 | + | 0.422041i | ||||
\(863\) | −1.69735e7 | −0.775792 | −0.387896 | − | 0.921703i | \(-0.626798\pi\) | ||||
−0.387896 | + | 0.921703i | \(0.626798\pi\) | |||||||
\(864\) | 5.82029e6 | + | 6.00926e6i | 0.265253 | + | 0.273865i | ||||
\(865\) | 1.02009e7 | 0.463553 | ||||||||
\(866\) | 3.35128e6 | + | 1.21977e6i | 0.151850 | + | 0.0552690i | ||||
\(867\) | −2.51016e6 | + | 1.18381e7i | −0.113411 | + | 0.534854i | ||||
\(868\) | −626844. | − | 525985.i | −0.0282397 | − | 0.0236959i | ||||
\(869\) | −8.47663e6 | + | 4.80733e7i | −0.380780 | + | 2.15951i | ||||
\(870\) | −3.62686e6 | − | 124861.i | −0.162455 | − | 0.00559278i | ||||
\(871\) | −2.41303e7 | + | 2.02477e7i | −1.07775 | + | 0.904336i | ||||
\(872\) | −1.13794e7 | − | 1.97097e7i | −0.506789 | − | 0.877784i | ||||
\(873\) | 3.81142e7 | − | 1.09698e7i | 1.69259 | − | 0.487150i | ||||
\(874\) | −1.32413e7 | + | 2.29346e7i | −0.586342 | + | 1.01557i | ||||
\(875\) | −2.07316e6 | − | 1.17575e7i | −0.0915405 | − | 0.519152i | ||||
\(876\) | −1.69199e6 | + | 1.32327e6i | −0.0744966 | + | 0.0582624i | ||||
\(877\) | −1.96345e7 | + | 7.14638e6i | −0.862027 | + | 0.313752i | −0.734934 | − | 0.678138i | \(-0.762787\pi\) |
−0.127093 | + | 0.991891i | \(0.540565\pi\) | |||||||
\(878\) | −2.56487e6 | + | 933538.i | −0.112287 | + | 0.0408691i | ||||
\(879\) | −3.41282e6 | − | 2.41968e7i | −0.148984 | − | 1.05630i | ||||
\(880\) | 1.24697e6 | + | 7.07192e6i | 0.0542812 | + | 0.307844i | ||||
\(881\) | 1.58402e7 | − | 2.74360e7i | 0.687576 | − | 1.19092i | −0.285044 | − | 0.958514i | \(-0.592008\pi\) |
0.972620 | − | 0.232402i | \(-0.0746584\pi\) | |||||||
\(882\) | 1.48457e6 | + | 659218.i | 0.0642583 | + | 0.0285337i | ||||
\(883\) | −1.30518e7 | − | 2.26065e7i | −0.563339 | − | 0.975732i | −0.997202 | − | 0.0747533i | \(-0.976183\pi\) |
0.433863 | − | 0.900979i | \(-0.357150\pi\) | |||||||
\(884\) | 1.92648e6 | − | 1.61651e6i | 0.0829152 | − | 0.0695741i | ||||
\(885\) | 921320. | + | 1.73069e6i | 0.0395414 | + | 0.0742782i | ||||
\(886\) | −3.30672e6 | + | 1.87534e7i | −0.141519 | + | 0.802592i | ||||
\(887\) | 2.86971e7 | + | 2.40797e7i | 1.22470 | + | 1.02764i | 0.998565 | + | 0.0535475i | \(0.0170528\pi\) |
0.226133 | + | 0.974096i | \(0.427392\pi\) | |||||||
\(888\) | 2.26313e7 | + | 2.03571e7i | 0.963113 | + | 0.866331i | ||||
\(889\) | 8.30286e6 | + | 3.02200e6i | 0.352349 | + | 0.128245i | ||||
\(890\) | 9.46220e6 | 0.400421 | ||||||||
\(891\) | −1.26665e7 | − | 3.11733e7i | −0.534517 | − | 1.31549i | ||||
\(892\) | −8.00222e6 | −0.336743 | ||||||||
\(893\) | 3.26644e7 | + | 1.18889e7i | 1.37071 | + | 0.498898i | ||||
\(894\) | −4.02452e6 | − | 3.62010e6i | −0.168411 | − | 0.151488i | ||||
\(895\) | −1.60288e6 | − | 1.34498e6i | −0.0668874 | − | 0.0561252i | ||||
\(896\) | −2.47098e6 | + | 1.40136e7i | −0.102825 | + | 0.583150i | ||||
\(897\) | −9.73671e6 | − | 1.82903e7i | −0.404046 | − | 0.758997i | ||||
\(898\) | −2.68025e6 | + | 2.24900e6i | −0.110914 | + | 0.0930676i | ||||
\(899\) | 1.51986e6 | + | 2.63248e6i | 0.0627198 | + | 0.108634i | ||||
\(900\) | 3.49063e6 | − | 2.54136e6i | 0.143647 | − | 0.104583i | ||||
\(901\) | 6.05012e6 | − | 1.04791e7i | 0.248286 | − | 0.430044i | ||||
\(902\) | −4.15235e6 | − | 2.35491e7i | −0.169933 | − | 0.963737i | ||||
\(903\) | −4.52065e6 | − | 3.20513e7i | −0.184494 | − | 1.30806i | ||||
\(904\) | −3.99793e7 | + | 1.45513e7i | −1.62710 | + | 0.592216i | ||||
\(905\) | 591123. | − | 215151.i | 0.0239914 | − | 0.00873217i | ||||
\(906\) | 6.03198e6 | − | 4.71749e6i | 0.244140 | − | 0.190937i | ||||
\(907\) | −4.13753e6 | − | 2.34651e7i | −0.167002 | − | 0.947117i | −0.946976 | − | 0.321305i | \(-0.895879\pi\) |
0.779974 | − | 0.625812i | \(-0.215232\pi\) | |||||||
\(908\) | −2.97447e6 | + | 5.15194e6i | −0.119728 | + | 0.207375i | ||||
\(909\) | 3.14717e6 | + | 3.03319e6i | 0.126331 | + | 0.121756i | ||||
\(910\) | −2.56076e6 | − | 4.43536e6i | −0.102510 | − | 0.177552i | ||||
\(911\) | −3.26531e7 | + | 2.73992e7i | −1.30355 | + | 1.09381i | −0.314030 | + | 0.949413i | \(0.601679\pi\) |
−0.989520 | + | 0.144396i | \(0.953876\pi\) | |||||||
\(912\) | −2.43526e7 | − | 838379.i | −0.969524 | − | 0.0333775i | ||||
\(913\) | −3.23336e6 | + | 1.83373e7i | −0.128374 | + | 0.728045i | ||||
\(914\) | −1.33044e7 | − | 1.11637e7i | −0.526780 | − | 0.442021i | ||||
\(915\) | 1.76348e6 | − | 8.31669e6i | 0.0696333 | − | 0.328396i | ||||
\(916\) | −758481. | − | 276064.i | −0.0298680 | − | 0.0108711i | ||||
\(917\) | −1.31152e7 | −0.515051 | ||||||||
\(918\) | −1.09964e6 | − | 1.53979e7i | −0.0430669 | − | 0.603054i | ||||
\(919\) | 8.22683e6 | 0.321325 | 0.160662 | − | 0.987009i | \(-0.448637\pi\) | ||||
0.160662 | + | 0.987009i | \(0.448637\pi\) | |||||||
\(920\) | −7.66249e6 | − | 2.78892e6i | −0.298470 | − | 0.108634i | ||||
\(921\) | 1.73528e6 | − | 564775.i | 0.0674095 | − | 0.0219395i | ||||
\(922\) | 4.95322e6 | + | 4.15625e6i | 0.191894 | + | 0.161018i | ||||
\(923\) | 913281. | − | 5.17947e6i | 0.0352858 | − | 0.200116i | ||||
\(924\) | −3.62578e6 | + | 5.80883e6i | −0.139708 | + | 0.223825i | ||||
\(925\) | 2.21184e7 | − | 1.85596e7i | 0.849962 | − | 0.713203i | ||||
\(926\) | −1.66852e7 | − | 2.88996e7i | −0.639445 | − | 1.10755i | ||||
\(927\) | 3.54717e7 | + | 2.44524e6i | 1.35576 | + | 0.0934592i | ||||
\(928\) | −3.16211e6 | + | 5.47694e6i | −0.120533 | + | 0.208770i | ||||
\(929\) | 3.64348e6 | + | 2.06632e7i | 0.138509 | + | 0.785522i | 0.972352 | + | 0.233520i | \(0.0750246\pi\) |
−0.833843 | + | 0.552001i | \(0.813864\pi\) | |||||||
\(930\) | −1.24755e6 | − | 503328.i | −0.0472989 | − | 0.0190829i | ||||
\(931\) | 2.45456e6 | − | 893386.i | 0.0928109 | − | 0.0337804i | ||||
\(932\) | −3.45374e6 | + | 1.25706e6i | −0.130242 | + | 0.0474041i | ||||
\(933\) | 1.58937e7 | + | 6.41235e6i | 0.597752 | + | 0.241165i | ||||
\(934\) | 141179. | + | 800667.i | 0.00529546 | + | 0.0300320i | ||||
\(935\) | −3.65787e6 | + | 6.33561e6i | −0.136836 | + | 0.237006i | ||||
\(936\) | 1.33249e7 | − | 1.97972e7i | 0.497137 | − | 0.738607i | ||||
\(937\) | 6.60637e6 | + | 1.14426e7i | 0.245818 | + | 0.425770i | 0.962361 | − | 0.271773i | \(-0.0876101\pi\) |
−0.716543 | + | 0.697543i | \(0.754277\pi\) | |||||||
\(938\) | 3.01431e7 | − | 2.52931e7i | 1.11862 | − | 0.938630i | ||||
\(939\) | −2.09719e7 | + | 3.35989e7i | −0.776200 | + | 1.24354i | ||||
\(940\) | −301391. | + | 1.70928e6i | −0.0111253 | + | 0.0630946i | ||||
\(941\) | −1.97187e7 | − | 1.65460e7i | −0.725946 | − | 0.609141i | 0.203077 | − | 0.979163i | \(-0.434906\pi\) |
−0.929023 | + | 0.370022i | \(0.879350\pi\) | |||||||
\(942\) | 1.87913e7 | − | 6.11592e6i | 0.689969 | − | 0.224561i | ||||
\(943\) | 2.03850e7 | + | 7.41953e6i | 0.746503 | + | 0.271705i | ||||
\(944\) | −6.18877e6 | −0.226034 | ||||||||
\(945\) | 7.50491e6 | + | 777565.i | 0.273379 | + | 0.0283242i | ||||
\(946\) | 4.82942e7 | 1.75456 | ||||||||
\(947\) | −8.15845e6 | − | 2.96943e6i | −0.295619 | − | 0.107597i | 0.189953 | − | 0.981793i | \(-0.439166\pi\) |
−0.485572 | + | 0.874197i | \(0.661389\pi\) | |||||||
\(948\) | 1.71558e6 | − | 8.09081e6i | 0.0619998 | − | 0.292396i | ||||
\(949\) | 8.62631e6 | + | 7.23833e6i | 0.310928 | + | 0.260899i | ||||
\(950\) | −5.02373e6 | + | 2.84910e7i | −0.180600 | + | 1.02423i | ||||
\(951\) | −6.74530e6 | − | 232218.i | −0.241852 | − | 0.00832616i | ||||
\(952\) | −1.48403e7 | + | 1.24525e7i | −0.530702 | + | 0.445312i | ||||
\(953\) | 5.59894e6 | + | 9.69765e6i | 0.199698 | + | 0.345887i | 0.948430 | − | 0.316985i | \(-0.102671\pi\) |
−0.748733 | + | 0.662872i | \(0.769337\pi\) | |||||||
\(954\) | 4.48666e6 | − | 1.80710e7i | 0.159607 | − | 0.642852i | ||||
\(955\) | −3.86539e6 | + | 6.69505e6i | −0.137147 | + | 0.237545i | ||||
\(956\) | 1.33338e6 | + | 7.56197e6i | 0.0471856 | + | 0.267603i | ||||
\(957\) | 2.00368e7 | − | 1.56704e7i | 0.707209 | − | 0.553095i | ||||
\(958\) | −1.54070e7 | + | 5.60767e6i | −0.542379 | + | 0.197410i | ||||
\(959\) | 2.47359e7 | − | 9.00312e6i | 0.868522 | − | 0.316116i | ||||
\(960\) | −1.26883e6 | − | 8.99600e6i | −0.0444351 | − | 0.315044i | ||||
\(961\) | −4.77573e6 | − | 2.70845e7i | −0.166814 | − | 0.946047i | ||||
\(962\) | 1.29390e7 | − | 2.24110e7i | 0.450778 | − | 0.780770i | ||||
\(963\) | 5.12965e6 | + | 4.83463e7i | 0.178247 | + | 1.67995i | ||||
\(964\) | 3.23637e6 | + | 5.60555e6i | 0.112167 | + | 0.194279i | ||||
\(965\) | 5.72485e6 | − | 4.80372e6i | 0.197900 | − | 0.166058i | ||||
\(966\) | 1.21629e7 | + | 2.28480e7i | 0.419369 | + | 0.787779i | ||||
\(967\) | 4.04440e6 | − | 2.29369e7i | 0.139087 | − | 0.788803i | −0.832838 | − | 0.553516i | \(-0.813286\pi\) |
0.971926 | − | 0.235287i | \(-0.0756031\pi\) | |||||||
\(968\) | −2.43256e7 | − | 2.04116e7i | −0.834402 | − | 0.700147i | ||||
\(969\) | −1.84561e7 | − | 1.66015e7i | −0.631439 | − | 0.567986i | ||||
\(970\) | −1.24688e7 | − | 4.53827e6i | −0.425496 | − | 0.154868i | ||||
\(971\) | −4.05544e7 | −1.38035 | −0.690175 | − | 0.723642i | \(-0.742467\pi\) | ||||
−0.690175 | + | 0.723642i | \(0.742467\pi\) | |||||||
\(972\) | 1.96308e6 | + | 5.35239e6i | 0.0666458 | + | 0.181711i | ||||
\(973\) | 1.46992e7 | 0.497750 | ||||||||
\(974\) | −4.11432e7 | − | 1.49749e7i | −1.38963 | − | 0.505786i | ||||
\(975\) | −1.68292e7 | − | 1.51380e7i | −0.566959 | − | 0.509986i | ||||
\(976\) | 2.05570e7 | + | 1.72494e7i | 0.690774 | + | 0.579628i | ||||
\(977\) | 2.85891e6 | − | 1.62137e7i | 0.0958219 | − | 0.543433i | −0.898671 | − | 0.438624i | \(-0.855466\pi\) |
0.994492 | − | 0.104809i | \(-0.0334230\pi\) | |||||||
\(978\) | −1.61843e7 | − | 3.04021e7i | −0.541063 | − | 1.01638i | ||||
\(979\) | −5.08067e7 | + | 4.26319e7i | −1.69420 | + | 1.42160i | ||||
\(980\) | 65212.3 | + | 112951.i | 0.00216902 | + | 0.00375686i | ||||
\(981\) | −3.00742e6 | − | 2.83446e7i | −0.0997750 | − | 0.940366i | ||||
\(982\) | 3.54925e6 | − | 6.14748e6i | 0.117451 | − | 0.203431i | ||||
\(983\) | −8.46808e6 | − | 4.80249e7i | −0.279512 | − | 1.58519i | −0.724253 | − | 0.689534i | \(-0.757815\pi\) |
0.444741 | − | 0.895659i | \(-0.353296\pi\) | |||||||
\(984\) | 3.48933e6 | + | 2.47393e7i | 0.114883 | + | 0.814516i | ||||
\(985\) | 6.88858e6 | − | 2.50724e6i | 0.226224 | − | 0.0823389i | ||||
\(986\) | 1.09661e7 | − | 3.99133e6i | 0.359219 | − | 0.130745i | ||||
\(987\) | 2.67621e7 | − | 2.09301e7i | 0.874434 | − | 0.683878i | ||||
\(988\) | −1.08060e6 | − | 6.12840e6i | −0.0352187 | − | 0.199735i | ||||
\(989\) | −2.19062e7 | + | 3.79426e7i | −0.712156 | + | 1.23349i | ||||
\(990\) | −2.71261e6 | + | 1.09256e7i | −0.0879629 | + | 0.354289i | ||||
\(991\) | 1.10697e7 | + | 1.91733e7i | 0.358057 | + | 0.620173i | 0.987636 | − | 0.156763i | \(-0.0501060\pi\) |
−0.629579 | + | 0.776936i | \(0.716773\pi\) | |||||||
\(992\) | −1.79589e6 | + | 1.50693e6i | −0.0579429 | + | 0.0486198i | ||||
\(993\) | −1.06832e7 | − | 367787.i | −0.343818 | − | 0.0118365i | ||||
\(994\) | −1.14086e6 | + | 6.47012e6i | −0.0366239 | + | 0.207705i | ||||
\(995\) | −8.38937e6 | − | 7.03952e6i | −0.268641 | − | 0.225416i | ||||
\(996\) | 654398. | − | 3.08619e6i | 0.0209023 | − | 0.0985767i | ||||
\(997\) | 3.40796e7 | + | 1.24039e7i | 1.08582 | + | 0.395205i | 0.822069 | − | 0.569387i | \(-0.192820\pi\) |
0.263747 | + | 0.964592i | \(0.415042\pi\) | |||||||
\(998\) | 1.20431e6 | 0.0382746 | ||||||||
\(999\) | 1.55579e7 | + | 3.48048e7i | 0.493215 | + | 1.10338i |
(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 | 27.6.e.a.4.5 | ✓ | 84 | |
3.2 | odd | 2 | 81.6.e.a.64.10 | 84 | |||
27.7 | even | 9 | inner | 27.6.e.a.7.5 | yes | 84 | |
27.13 | even | 9 | 729.6.a.c.1.31 | 42 | |||
27.14 | odd | 18 | 729.6.a.e.1.12 | 42 | |||
27.20 | odd | 18 | 81.6.e.a.19.10 | 84 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
27.6.e.a.4.5 | ✓ | 84 | 1.1 | even | 1 | trivial | |
27.6.e.a.7.5 | yes | 84 | 27.7 | even | 9 | inner | |
81.6.e.a.19.10 | 84 | 27.20 | odd | 18 | |||
81.6.e.a.64.10 | 84 | 3.2 | odd | 2 | |||
729.6.a.c.1.31 | 42 | 27.13 | even | 9 | |||
729.6.a.e.1.12 | 42 | 27.14 | odd | 18 |