Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [43,6,Mod(4,43)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(43, base_ring=CyclotomicField(14))
chi = DirichletCharacter(H, H._module([4]))
N = Newforms(chi, 6, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("43.4");
S:= CuspForms(chi, 6);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 43 \) |
Weight: | \( k \) | \(=\) | \( 6 \) |
Character orbit: | \([\chi]\) | \(=\) | 43.e (of order \(7\), 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: | \(6.89650425196\) |
Analytic rank: | \(0\) |
Dimension: | \(108\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{7})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{7}]$ |
Embedding invariants
Embedding label | 11.5 | ||
Character | \(\chi\) | \(=\) | 43.11 |
Dual form | 43.6.e.a.4.5 |
$q$-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 \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{5}{7}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −4.75577 | − | 5.96355i | −0.840710 | − | 1.05422i | −0.997778 | − | 0.0666293i | \(-0.978776\pi\) |
0.157068 | − | 0.987588i | \(-0.449796\pi\) | |||||||
\(3\) | −3.77448 | + | 4.73304i | −0.242133 | + | 0.303625i | −0.888017 | − | 0.459810i | \(-0.847917\pi\) |
0.645884 | + | 0.763435i | \(0.276489\pi\) | |||||||
\(4\) | −5.82590 | + | 25.5249i | −0.182059 | + | 0.797654i | ||||
\(5\) | −49.8748 | + | 24.0184i | −0.892187 | + | 0.429655i | −0.823061 | − | 0.567953i | \(-0.807735\pi\) |
−0.0691264 | + | 0.997608i | \(0.522021\pi\) | |||||||
\(6\) | 46.1763 | 0.523650 | ||||||||
\(7\) | 187.876 | 1.44920 | 0.724598 | − | 0.689172i | \(-0.242025\pi\) | ||||
0.724598 | + | 0.689172i | \(0.242025\pi\) | |||||||
\(8\) | −39.9875 | + | 19.2570i | −0.220902 | + | 0.106381i | ||||
\(9\) | 45.9176 | + | 201.178i | 0.188961 | + | 0.827893i | ||||
\(10\) | 380.428 | + | 183.205i | 1.20302 | + | 0.579344i | ||||
\(11\) | −98.0027 | − | 429.378i | −0.244206 | − | 1.06994i | −0.937145 | − | 0.348940i | \(-0.886542\pi\) |
0.692939 | − | 0.720996i | \(-0.256315\pi\) | |||||||
\(12\) | −98.8209 | − | 123.917i | −0.198105 | − | 0.248416i | ||||
\(13\) | 551.081 | − | 265.387i | 0.904392 | − | 0.435532i | 0.0769190 | − | 0.997037i | \(-0.475492\pi\) |
0.827473 | + | 0.561505i | \(0.189777\pi\) | |||||||
\(14\) | −893.498 | − | 1120.41i | −1.21835 | − | 1.52777i | ||||
\(15\) | 74.5709 | − | 326.716i | 0.0855739 | − | 0.374924i | ||||
\(16\) | 1059.85 | + | 510.395i | 1.03501 | + | 0.498432i | ||||
\(17\) | 1027.38 | + | 494.758i | 0.862198 | + | 0.415213i | 0.812091 | − | 0.583531i | \(-0.198329\pi\) |
0.0501072 | + | 0.998744i | \(0.484044\pi\) | |||||||
\(18\) | 981.362 | − | 1230.59i | 0.713917 | − | 0.895224i | ||||
\(19\) | 459.522 | − | 2013.30i | 0.292027 | − | 1.27945i | −0.589673 | − | 0.807642i | \(-0.700744\pi\) |
0.881700 | − | 0.471810i | \(-0.156399\pi\) | |||||||
\(20\) | −322.503 | − | 1412.98i | −0.180285 | − | 0.789879i | ||||
\(21\) | −709.135 | + | 889.227i | −0.350898 | + | 0.440012i | ||||
\(22\) | −2094.54 | + | 2626.47i | −0.922639 | + | 1.15695i | ||||
\(23\) | 846.113 | + | 3707.06i | 0.333510 | + | 1.46120i | 0.812283 | + | 0.583263i | \(0.198224\pi\) |
−0.478773 | + | 0.877939i | \(0.658918\pi\) | |||||||
\(24\) | 59.7878 | − | 261.947i | 0.0211877 | − | 0.0928295i | ||||
\(25\) | −37.7966 | + | 47.3954i | −0.0120949 | + | 0.0151665i | ||||
\(26\) | −4203.46 | − | 2024.28i | −1.21948 | − | 0.587269i | ||||
\(27\) | −2450.89 | − | 1180.29i | −0.647014 | − | 0.311586i | ||||
\(28\) | −1094.55 | + | 4795.53i | −0.263840 | + | 1.15596i | ||||
\(29\) | 5099.66 | + | 6394.78i | 1.12602 | + | 1.41199i | 0.898919 | + | 0.438115i | \(0.144354\pi\) |
0.227102 | + | 0.973871i | \(0.427075\pi\) | |||||||
\(30\) | −2303.03 | + | 1109.08i | −0.467194 | + | 0.224989i | ||||
\(31\) | 3394.40 | + | 4256.45i | 0.634394 | + | 0.795505i | 0.990289 | − | 0.139021i | \(-0.0443954\pi\) |
−0.355895 | + | 0.934526i | \(0.615824\pi\) | |||||||
\(32\) | −1680.59 | − | 7363.13i | −0.290125 | − | 1.27112i | ||||
\(33\) | 2402.17 | + | 1156.83i | 0.383989 | + | 0.184920i | ||||
\(34\) | −1935.45 | − | 8479.77i | −0.287134 | − | 1.25802i | ||||
\(35\) | −9370.30 | + | 4512.50i | −1.29295 | + | 0.622654i | ||||
\(36\) | −5402.56 | −0.694774 | ||||||||
\(37\) | 11002.2 | 1.32122 | 0.660608 | − | 0.750731i | \(-0.270299\pi\) | ||||
0.660608 | + | 0.750731i | \(0.270299\pi\) | |||||||
\(38\) | −14191.8 | + | 6834.41i | −1.59433 | + | 0.767789i | ||||
\(39\) | −823.955 | + | 3609.98i | −0.0867445 | + | 0.380053i | ||||
\(40\) | 1531.85 | − | 1920.87i | 0.151379 | − | 0.189823i | ||||
\(41\) | −974.921 | − | 1222.51i | −0.0905753 | − | 0.113578i | 0.734479 | − | 0.678632i | \(-0.237427\pi\) |
−0.825054 | + | 0.565054i | \(0.808855\pi\) | |||||||
\(42\) | 8675.44 | 0.758872 | ||||||||
\(43\) | −11269.3 | − | 4473.31i | −0.929452 | − | 0.368942i | ||||
\(44\) | 11530.8 | 0.897899 | ||||||||
\(45\) | −7122.11 | − | 8930.84i | −0.524297 | − | 0.657447i | ||||
\(46\) | 18083.3 | − | 22675.8i | 1.26004 | − | 1.58004i | ||||
\(47\) | 3175.91 | − | 13914.6i | 0.209712 | − | 0.918808i | −0.755047 | − | 0.655671i | \(-0.772386\pi\) |
0.964759 | − | 0.263137i | \(-0.0847570\pi\) | |||||||
\(48\) | −6416.08 | + | 3089.82i | −0.401945 | + | 0.193567i | ||||
\(49\) | 18490.6 | 1.10017 | ||||||||
\(50\) | 462.397 | 0.0261571 | ||||||||
\(51\) | −6219.52 | + | 2995.16i | −0.334835 | + | 0.161248i | ||||
\(52\) | 3563.43 | + | 15612.4i | 0.182751 | + | 0.800685i | ||||
\(53\) | −14997.6 | − | 7222.49i | −0.733387 | − | 0.353181i | 0.0296280 | − | 0.999561i | \(-0.490568\pi\) |
−0.763015 | + | 0.646380i | \(0.776282\pi\) | |||||||
\(54\) | 4617.18 | + | 20229.2i | 0.215473 | + | 0.944047i | ||||
\(55\) | 15200.8 | + | 19061.3i | 0.677581 | + | 0.849659i | ||||
\(56\) | −7512.71 | + | 3617.93i | −0.320130 | + | 0.154166i | ||||
\(57\) | 7794.57 | + | 9774.08i | 0.317764 | + | 0.398464i | ||||
\(58\) | 13882.7 | − | 60824.2i | 0.541882 | − | 2.37414i | ||||
\(59\) | 21581.0 | + | 10392.8i | 0.807125 | + | 0.388691i | 0.791486 | − | 0.611187i | \(-0.209308\pi\) |
0.0156387 | + | 0.999878i | \(0.495022\pi\) | |||||||
\(60\) | 7904.97 | + | 3806.83i | 0.283480 | + | 0.136517i | ||||
\(61\) | −15899.4 | + | 19937.2i | −0.547086 | + | 0.686024i | −0.976112 | − | 0.217268i | \(-0.930285\pi\) |
0.429026 | + | 0.903292i | \(0.358857\pi\) | |||||||
\(62\) | 9240.53 | − | 40485.4i | 0.305294 | − | 1.33758i | ||||
\(63\) | 8626.83 | + | 37796.6i | 0.273842 | + | 1.19978i | ||||
\(64\) | −12448.0 | + | 15609.3i | −0.379882 | + | 0.476357i | ||||
\(65\) | −21110.9 | + | 26472.2i | −0.619759 | + | 0.777153i | ||||
\(66\) | −4525.40 | − | 19827.1i | −0.127878 | − | 0.560272i | ||||
\(67\) | 1353.37 | − | 5929.49i | 0.0368323 | − | 0.161373i | −0.953167 | − | 0.302444i | \(-0.902198\pi\) |
0.989999 | + | 0.141071i | \(0.0450547\pi\) | |||||||
\(68\) | −18614.0 | + | 23341.3i | −0.488167 | + | 0.612142i | ||||
\(69\) | −20739.3 | − | 9987.53i | −0.524411 | − | 0.252543i | ||||
\(70\) | 71473.5 | + | 34419.8i | 1.74341 | + | 0.839583i | ||||
\(71\) | 5776.46 | − | 25308.3i | 0.135993 | − | 0.595823i | −0.860299 | − | 0.509789i | \(-0.829723\pi\) |
0.996292 | − | 0.0860342i | \(-0.0274194\pi\) | |||||||
\(72\) | −5710.20 | − | 7160.37i | −0.129814 | − | 0.162781i | ||||
\(73\) | −24056.1 | + | 11584.8i | −0.528345 | + | 0.254437i | −0.678986 | − | 0.734151i | \(-0.737580\pi\) |
0.150641 | + | 0.988588i | \(0.451866\pi\) | |||||||
\(74\) | −52323.8 | − | 65612.0i | −1.11076 | − | 1.39285i | ||||
\(75\) | −81.6623 | − | 357.786i | −0.00167636 | − | 0.00734463i | ||||
\(76\) | 48712.1 | + | 23458.5i | 0.967394 | + | 0.465872i | ||||
\(77\) | −18412.4 | − | 80670.0i | −0.353902 | − | 1.55055i | ||||
\(78\) | 25446.9 | − | 12254.6i | 0.473585 | − | 0.228067i | ||||
\(79\) | 28191.6 | 0.508220 | 0.254110 | − | 0.967175i | \(-0.418218\pi\) | ||||
0.254110 | + | 0.967175i | \(0.418218\pi\) | |||||||
\(80\) | −65118.5 | −1.13757 | ||||||||
\(81\) | −30340.5 | + | 14611.2i | −0.513819 | + | 0.247442i | ||||
\(82\) | −2654.01 | + | 11628.0i | −0.0435881 | + | 0.190972i | ||||
\(83\) | 1956.01 | − | 2452.76i | 0.0311656 | − | 0.0390805i | −0.766004 | − | 0.642835i | \(-0.777758\pi\) |
0.797170 | + | 0.603755i | \(0.206329\pi\) | |||||||
\(84\) | −18566.1 | − | 23281.2i | −0.287093 | − | 0.360003i | ||||
\(85\) | −63123.5 | −0.947640 | ||||||||
\(86\) | 26917.6 | + | 88479.3i | 0.392455 | + | 1.29002i | ||||
\(87\) | −49515.3 | −0.701361 | ||||||||
\(88\) | 12187.4 | + | 15282.5i | 0.167766 | + | 0.210372i | ||||
\(89\) | 67373.4 | − | 84483.6i | 0.901599 | − | 1.13057i | −0.0893057 | − | 0.996004i | \(-0.528465\pi\) |
0.990905 | − | 0.134565i | \(-0.0429638\pi\) | |||||||
\(90\) | −19388.4 | + | 84946.1i | −0.252311 | + | 1.10545i | ||||
\(91\) | 103535. | − | 49859.9i | 1.31064 | − | 0.631172i | ||||
\(92\) | −99551.8 | −1.22625 | ||||||||
\(93\) | −32958.0 | −0.395143 | ||||||||
\(94\) | −98084.1 | + | 47234.8i | −1.14493 | + | 0.551369i | ||||
\(95\) | 25437.7 | + | 111450.i | 0.289180 | + | 1.26698i | ||||
\(96\) | 41193.3 | + | 19837.7i | 0.456193 | + | 0.219691i | ||||
\(97\) | 22202.7 | + | 97276.3i | 0.239594 | + | 1.04973i | 0.941382 | + | 0.337344i | \(0.109528\pi\) |
−0.701788 | + | 0.712386i | \(0.747614\pi\) | |||||||
\(98\) | −87937.0 | − | 110269.i | −0.924924 | − | 1.15982i | ||||
\(99\) | 81881.3 | − | 39432.0i | 0.839647 | − | 0.404353i | ||||
\(100\) | −989.566 | − | 1240.88i | −0.00989566 | − | 0.0124088i | ||||
\(101\) | −31347.9 | + | 137344.i | −0.305777 | + | 1.33970i | 0.555481 | + | 0.831529i | \(0.312534\pi\) |
−0.861258 | + | 0.508168i | \(0.830323\pi\) | |||||||
\(102\) | 47440.4 | + | 22846.1i | 0.451490 | + | 0.217426i | ||||
\(103\) | −53591.5 | − | 25808.3i | −0.497741 | − | 0.239699i | 0.168132 | − | 0.985764i | \(-0.446226\pi\) |
−0.665873 | + | 0.746065i | \(0.731941\pi\) | |||||||
\(104\) | −16925.8 | + | 21224.3i | −0.153450 | + | 0.192420i | ||||
\(105\) | 14010.1 | − | 61382.3i | 0.124013 | − | 0.543338i | ||||
\(106\) | 28253.8 | + | 123788.i | 0.244237 | + | 1.07007i | ||||
\(107\) | 73981.2 | − | 92769.5i | 0.624686 | − | 0.783332i | −0.364309 | − | 0.931278i | \(-0.618695\pi\) |
0.988995 | + | 0.147946i | \(0.0472663\pi\) | |||||||
\(108\) | 44405.3 | − | 55682.5i | 0.366333 | − | 0.459367i | ||||
\(109\) | 12027.7 | + | 52696.6i | 0.0969650 | + | 0.424831i | 0.999989 | − | 0.00475934i | \(-0.00151495\pi\) |
−0.903024 | + | 0.429591i | \(0.858658\pi\) | |||||||
\(110\) | 41381.0 | − | 181302.i | 0.326076 | − | 1.42863i | ||||
\(111\) | −41527.4 | + | 52073.7i | −0.319909 | + | 0.401154i | ||||
\(112\) | 199120. | + | 95891.2i | 1.49993 | + | 0.722327i | ||||
\(113\) | −124477. | − | 59944.7i | −0.917046 | − | 0.441626i | −0.0850307 | − | 0.996378i | \(-0.527099\pi\) |
−0.832016 | + | 0.554752i | \(0.812813\pi\) | |||||||
\(114\) | 21219.0 | − | 92966.7i | 0.152920 | − | 0.669985i | ||||
\(115\) | −131237. | − | 164567.i | −0.925366 | − | 1.16037i | ||||
\(116\) | −192936. | + | 92913.2i | −1.33128 | + | 0.641110i | ||||
\(117\) | 78694.2 | + | 98679.4i | 0.531469 | + | 0.666441i | ||||
\(118\) | −40655.9 | − | 178125.i | −0.268794 | − | 1.17766i | ||||
\(119\) | 193020. | + | 92953.4i | 1.24949 | + | 0.601725i | ||||
\(120\) | 3309.66 | + | 14500.6i | 0.0209812 | + | 0.0919247i | ||||
\(121\) | −29658.8 | + | 14282.9i | −0.184158 | + | 0.0886857i | ||||
\(122\) | 194510. | 1.18316 | ||||||||
\(123\) | 9466.02 | 0.0564163 | ||||||||
\(124\) | −128421. | + | 61844.3i | −0.750035 | + | 0.361198i | ||||
\(125\) | 39240.7 | − | 171925.i | 0.224627 | − | 0.984153i | ||||
\(126\) | 184375. | − | 231199.i | 1.03461 | − | 1.29736i | ||||
\(127\) | 60964.0 | + | 76446.5i | 0.335401 | + | 0.420580i | 0.920720 | − | 0.390223i | \(-0.127602\pi\) |
−0.585319 | + | 0.810803i | \(0.699031\pi\) | |||||||
\(128\) | −89393.2 | −0.482258 | ||||||||
\(129\) | 63708.2 | − | 36453.9i | 0.337071 | − | 0.192872i | ||||
\(130\) | 258267. | 1.34033 | ||||||||
\(131\) | 18850.9 | + | 23638.3i | 0.0959743 | + | 0.120348i | 0.827500 | − | 0.561466i | \(-0.189763\pi\) |
−0.731525 | + | 0.681814i | \(0.761191\pi\) | |||||||
\(132\) | −43522.7 | + | 54575.7i | −0.217411 | + | 0.272624i | ||||
\(133\) | 86333.4 | − | 378251.i | 0.423204 | − | 1.85418i | ||||
\(134\) | −41797.1 | + | 20128.4i | −0.201087 | + | 0.0968384i | ||||
\(135\) | 150586. | 0.711132 | ||||||||
\(136\) | −50609.7 | −0.234632 | ||||||||
\(137\) | −93023.4 | + | 44797.7i | −0.423439 | + | 0.203917i | −0.633453 | − | 0.773781i | \(-0.718363\pi\) |
0.210014 | + | 0.977698i | \(0.432649\pi\) | |||||||
\(138\) | 39070.4 | + | 171178.i | 0.174642 | + | 0.765158i | ||||
\(139\) | 143099. | + | 68913.0i | 0.628204 | + | 0.302527i | 0.720765 | − | 0.693180i | \(-0.243791\pi\) |
−0.0925605 | + | 0.995707i | \(0.529505\pi\) | |||||||
\(140\) | −60590.8 | − | 265466.i | −0.261268 | − | 1.14469i | ||||
\(141\) | 53870.8 | + | 67551.8i | 0.228195 | + | 0.286147i | ||||
\(142\) | −178399. | + | 85912.5i | −0.742458 | + | 0.357549i | ||||
\(143\) | −167958. | − | 210613.i | −0.686850 | − | 0.861282i | ||||
\(144\) | −54014.7 | + | 236654.i | −0.217073 | + | 0.951058i | ||||
\(145\) | −407937. | − | 196452.i | −1.61129 | − | 0.775955i | ||||
\(146\) | 183492. | + | 88364.9i | 0.712417 | + | 0.343082i | ||||
\(147\) | −69792.2 | + | 87516.6i | −0.266387 | + | 0.334039i | ||||
\(148\) | −64097.5 | + | 280829.i | −0.240540 | + | 1.05387i | ||||
\(149\) | −45428.7 | − | 199036.i | −0.167635 | − | 0.734457i | −0.986939 | − | 0.161097i | \(-0.948497\pi\) |
0.819304 | − | 0.573360i | \(-0.194360\pi\) | |||||||
\(150\) | −1745.31 | + | 2188.55i | −0.00633350 | + | 0.00794196i | ||||
\(151\) | −290897. | + | 364774.i | −1.03824 | + | 1.30191i | −0.0860871 | + | 0.996288i | \(0.527436\pi\) |
−0.952152 | + | 0.305624i | \(0.901135\pi\) | |||||||
\(152\) | 20394.9 | + | 89355.7i | 0.0715998 | + | 0.313699i | ||||
\(153\) | −52359.8 | + | 229403.i | −0.180830 | + | 0.792267i | ||||
\(154\) | −393514. | + | 493451.i | −1.33708 | + | 1.67665i | ||||
\(155\) | −271528. | − | 130761.i | −0.907791 | − | 0.437169i | ||||
\(156\) | −87344.3 | − | 42062.8i | −0.287358 | − | 0.138384i | ||||
\(157\) | 85158.7 | − | 373105.i | 0.275728 | − | 1.20804i | −0.627410 | − | 0.778689i | \(-0.715885\pi\) |
0.903137 | − | 0.429352i | \(-0.141258\pi\) | |||||||
\(158\) | −134073. | − | 168122.i | −0.427265 | − | 0.535774i | ||||
\(159\) | 90792.6 | − | 43723.4i | 0.284812 | − | 0.137158i | ||||
\(160\) | 260670. | + | 326869.i | 0.804990 | + | 1.00943i | ||||
\(161\) | 158965. | + | 696470.i | 0.483321 | + | 2.11757i | ||||
\(162\) | 231428. | + | 111450.i | 0.692831 | + | 0.333650i | ||||
\(163\) | −111110. | − | 486804.i | −0.327554 | − | 1.43511i | −0.823777 | − | 0.566914i | \(-0.808137\pi\) |
0.496223 | − | 0.868195i | \(-0.334720\pi\) | |||||||
\(164\) | 36884.3 | − | 17762.6i | 0.107086 | − | 0.0515699i | ||||
\(165\) | −147593. | −0.422042 | ||||||||
\(166\) | −23929.5 | −0.0674006 | ||||||||
\(167\) | 47501.8 | − | 22875.7i | 0.131801 | − | 0.0634721i | −0.366821 | − | 0.930292i | \(-0.619554\pi\) |
0.498622 | + | 0.866819i | \(0.333840\pi\) | |||||||
\(168\) | 11232.7 | − | 49213.8i | 0.0307052 | − | 0.134528i | ||||
\(169\) | 1762.63 | − | 2210.27i | 0.00474728 | − | 0.00595290i | ||||
\(170\) | 300201. | + | 376440.i | 0.796691 | + | 0.999018i | ||||
\(171\) | 426131. | 1.11443 | ||||||||
\(172\) | 179835. | − | 261588.i | 0.463503 | − | 0.674212i | ||||
\(173\) | −208717. | −0.530202 | −0.265101 | − | 0.964221i | \(-0.585405\pi\) | ||||
−0.265101 | + | 0.964221i | \(0.585405\pi\) | |||||||
\(174\) | 235484. | + | 295287.i | 0.589641 | + | 0.739386i | ||||
\(175\) | −7101.09 | + | 8904.48i | −0.0175279 | + | 0.0219793i | ||||
\(176\) | 115284. | − | 505094.i | 0.280536 | − | 1.22911i | ||||
\(177\) | −130647. | + | 62916.1i | −0.313448 | + | 0.150948i | ||||
\(178\) | −824235. | −1.94985 | ||||||||
\(179\) | 112395. | 0.262188 | 0.131094 | − | 0.991370i | \(-0.458151\pi\) | ||||
0.131094 | + | 0.991370i | \(0.458151\pi\) | |||||||
\(180\) | 269452. | − | 129761.i | 0.619869 | − | 0.298513i | ||||
\(181\) | 143408. | + | 628312.i | 0.325370 | + | 1.42554i | 0.827849 | + | 0.560950i | \(0.189564\pi\) |
−0.502479 | + | 0.864589i | \(0.667579\pi\) | |||||||
\(182\) | −789732. | − | 380315.i | −1.76726 | − | 0.851069i | ||||
\(183\) | −34351.7 | − | 150505.i | −0.0758265 | − | 0.332218i | ||||
\(184\) | −105221. | − | 131943.i | −0.229117 | − | 0.287303i | ||||
\(185\) | −548730. | + | 264255.i | −1.17877 | + | 0.567666i | ||||
\(186\) | 156741. | + | 196547.i | 0.332201 | + | 0.416566i | ||||
\(187\) | 111753. | − | 489620.i | 0.233697 | − | 1.02389i | ||||
\(188\) | 336665. | + | 162130.i | 0.694711 | + | 0.334555i | ||||
\(189\) | −460464. | − | 221748.i | −0.937651 | − | 0.451549i | ||||
\(190\) | 543661. | − | 681729.i | 1.09256 | − | 1.37002i | ||||
\(191\) | 208311. | − | 912669.i | 0.413169 | − | 1.81021i | −0.155722 | − | 0.987801i | \(-0.549770\pi\) |
0.568891 | − | 0.822413i | \(-0.307372\pi\) | |||||||
\(192\) | −26894.7 | − | 117834.i | −0.0526519 | − | 0.230683i | ||||
\(193\) | −3361.55 | + | 4215.25i | −0.00649601 | + | 0.00814574i | −0.785069 | − | 0.619408i | \(-0.787372\pi\) |
0.778573 | + | 0.627554i | \(0.215944\pi\) | |||||||
\(194\) | 474521. | − | 595031.i | 0.905214 | − | 1.13510i | ||||
\(195\) | −45611.6 | − | 199837.i | −0.0858991 | − | 0.376348i | ||||
\(196\) | −107724. | + | 471970.i | −0.200296 | + | 0.877555i | ||||
\(197\) | 188024. | − | 235775.i | 0.345182 | − | 0.432845i | −0.578689 | − | 0.815548i | \(-0.696436\pi\) |
0.923871 | + | 0.382704i | \(0.125007\pi\) | |||||||
\(198\) | −624564. | − | 300774.i | −1.13218 | − | 0.545227i | ||||
\(199\) | 526027. | + | 253321.i | 0.941619 | + | 0.453460i | 0.840740 | − | 0.541439i | \(-0.182120\pi\) |
0.100879 | + | 0.994899i | \(0.467834\pi\) | |||||||
\(200\) | 598.699 | − | 2623.07i | 0.00105836 | − | 0.00463698i | ||||
\(201\) | 22956.3 | + | 28786.2i | 0.0400785 | + | 0.0502568i | ||||
\(202\) | 968142. | − | 466233.i | 1.66940 | − | 0.803941i | ||||
\(203\) | 958107. | + | 1.20143e6i | 1.63183 | + | 2.04625i | ||||
\(204\) | −40217.0 | − | 176202.i | −0.0676604 | − | 0.296439i | ||||
\(205\) | 77986.8 | + | 37556.5i | 0.129609 | + | 0.0624166i | ||||
\(206\) | 100960. | + | 442334.i | 0.165760 | + | 0.726244i | ||||
\(207\) | −706928. | + | 340438.i | −1.14670 | + | 0.552221i | ||||
\(208\) | 719513. | 1.15313 | ||||||||
\(209\) | −909500. | −1.44025 | ||||||||
\(210\) | −432686. | + | 208370.i | −0.677056 | + | 0.326053i | ||||
\(211\) | −82933.7 | + | 363356.i | −0.128240 | + | 0.561858i | 0.869455 | + | 0.494011i | \(0.164470\pi\) |
−0.997696 | + | 0.0678464i | \(0.978387\pi\) | |||||||
\(212\) | 271728. | − | 340736.i | 0.415236 | − | 0.520690i | ||||
\(213\) | 97982.3 | + | 122866.i | 0.147978 | + | 0.185559i | ||||
\(214\) | −905073. | −1.35098 | ||||||||
\(215\) | 669498. | − | 47566.4i | 0.987763 | − | 0.0701785i | ||||
\(216\) | 120734. | 0.176073 | ||||||||
\(217\) | 637729. | + | 799686.i | 0.919362 | + | 1.15284i | ||||
\(218\) | 257058. | − | 322341.i | 0.366345 | − | 0.459382i | ||||
\(219\) | 35967.7 | − | 157585.i | 0.0506760 | − | 0.222026i | ||||
\(220\) | −575096. | + | 276951.i | −0.801094 | + | 0.385786i | ||||
\(221\) | 697469. | 0.960604 | ||||||||
\(222\) | 508039. | 0.691854 | ||||||||
\(223\) | −273295. | + | 131612.i | −0.368019 | + | 0.177228i | −0.608748 | − | 0.793364i | \(-0.708328\pi\) |
0.240729 | + | 0.970592i | \(0.422614\pi\) | |||||||
\(224\) | −315743. | − | 1.38336e6i | −0.420449 | − | 1.84211i | ||||
\(225\) | −11270.4 | − | 5427.56i | −0.0148417 | − | 0.00714740i | ||||
\(226\) | 234499. | + | 1.02741e6i | 0.305400 | + | 1.33805i | ||||
\(227\) | 98672.0 | + | 123731.i | 0.127095 | + | 0.159372i | 0.841308 | − | 0.540557i | \(-0.181786\pi\) |
−0.714212 | + | 0.699929i | \(0.753215\pi\) | |||||||
\(228\) | −294893. | + | 142013.i | −0.375688 | + | 0.180922i | ||||
\(229\) | −431772. | − | 541425.i | −0.544084 | − | 0.682259i | 0.431443 | − | 0.902140i | \(-0.358005\pi\) |
−0.975527 | + | 0.219881i | \(0.929433\pi\) | |||||||
\(230\) | −357266. | + | 1.56528e6i | −0.445320 | + | 1.95107i | ||||
\(231\) | 451312. | + | 217340.i | 0.556476 | + | 0.267985i | ||||
\(232\) | −327067. | − | 157507.i | −0.398948 | − | 0.192123i | ||||
\(233\) | −34356.9 | + | 43082.2i | −0.0414595 | + | 0.0519886i | −0.802129 | − | 0.597151i | \(-0.796299\pi\) |
0.760669 | + | 0.649139i | \(0.224871\pi\) | |||||||
\(234\) | 214228. | − | 938594.i | 0.255762 | − | 1.12057i | ||||
\(235\) | 175808. | + | 770266.i | 0.207668 | + | 0.909852i | ||||
\(236\) | −391005. | + | 490305.i | −0.456986 | + | 0.573042i | ||||
\(237\) | −106408. | + | 133432.i | −0.123057 | + | 0.154308i | ||||
\(238\) | −363626. | − | 1.59315e6i | −0.416114 | − | 1.82311i | ||||
\(239\) | −292078. | + | 1.27968e6i | −0.330753 | + | 1.44912i | 0.486922 | + | 0.873445i | \(0.338119\pi\) |
−0.817676 | + | 0.575679i | \(0.804738\pi\) | |||||||
\(240\) | 245788. | − | 308209.i | 0.275444 | − | 0.345395i | ||||
\(241\) | −526087. | − | 253350.i | −0.583465 | − | 0.280982i | 0.118776 | − | 0.992921i | \(-0.462103\pi\) |
−0.702241 | + | 0.711939i | \(0.747817\pi\) | |||||||
\(242\) | 226228. | + | 108945.i | 0.248317 | + | 0.119583i | ||||
\(243\) | 192457. | − | 843207.i | 0.209082 | − | 0.916049i | ||||
\(244\) | −416267. | − | 521982.i | −0.447608 | − | 0.561282i | ||||
\(245\) | −922213. | + | 444114.i | −0.981558 | + | 0.472693i | ||||
\(246\) | −45018.3 | − | 56451.1i | −0.0474298 | − | 0.0594750i | ||||
\(247\) | −281068. | − | 1.23144e6i | −0.293136 | − | 1.28431i | ||||
\(248\) | −217700. | − | 104839.i | −0.224765 | − | 0.108241i | ||||
\(249\) | 4226.10 | + | 18515.8i | 0.00431958 | + | 0.0189253i | ||||
\(250\) | −1.21190e6 | + | 583621.i | −1.22636 | + | 0.590583i | ||||
\(251\) | 919182. | 0.920910 | 0.460455 | − | 0.887683i | \(-0.347686\pi\) | ||||
0.460455 | + | 0.887683i | \(0.347686\pi\) | |||||||
\(252\) | −1.01501e6 | −1.00686 | ||||||||
\(253\) | 1.50881e6 | − | 726604.i | 1.48195 | − | 0.713668i | ||||
\(254\) | 165961. | − | 727124.i | 0.161407 | − | 0.707171i | ||||
\(255\) | 238258. | − | 298766.i | 0.229455 | − | 0.287727i | ||||
\(256\) | 823469. | + | 1.03260e6i | 0.785321 | + | 0.984762i | ||||
\(257\) | −1.24549e6 | −1.17627 | −0.588134 | − | 0.808764i | \(-0.700137\pi\) | ||||
−0.588134 | + | 0.808764i | \(0.700137\pi\) | |||||||
\(258\) | −520376. | − | 206561.i | −0.486708 | − | 0.193196i | ||||
\(259\) | 2.06705e6 | 1.91470 | ||||||||
\(260\) | −552711. | − | 693078.i | −0.507066 | − | 0.635841i | ||||
\(261\) | −1.05232e6 | + | 1.31957e6i | −0.956199 | + | 1.19904i | ||||
\(262\) | 51317.6 | − | 224837.i | 0.0461863 | − | 0.202355i | ||||
\(263\) | −311420. | + | 149972.i | −0.277624 | + | 0.133697i | −0.567515 | − | 0.823363i | \(-0.692095\pi\) |
0.289891 | + | 0.957060i | \(0.406381\pi\) | |||||||
\(264\) | −118334. | −0.104496 | ||||||||
\(265\) | 921477. | 0.806065 | ||||||||
\(266\) | −2.66630e6 | + | 1.28402e6i | −2.31050 | + | 1.11268i | ||||
\(267\) | 145565. | + | 637762.i | 0.124962 | + | 0.547496i | ||||
\(268\) | 143465. | + | 69089.2i | 0.122014 | + | 0.0587588i | ||||
\(269\) | 265677. | + | 1.16401e6i | 0.223858 | + | 0.980788i | 0.954543 | + | 0.298073i | \(0.0963439\pi\) |
−0.730685 | + | 0.682715i | \(0.760799\pi\) | |||||||
\(270\) | −716153. | − | 898028.i | −0.597856 | − | 0.749688i | ||||
\(271\) | 1.12998e6 | − | 544172.i | 0.934651 | − | 0.450104i | 0.0963717 | − | 0.995345i | \(-0.469276\pi\) |
0.838279 | + | 0.545241i | \(0.183562\pi\) | |||||||
\(272\) | 836338. | + | 1.04873e6i | 0.685424 | + | 0.859495i | ||||
\(273\) | −154802. | + | 678231.i | −0.125710 | + | 0.550771i | ||||
\(274\) | 709552. | + | 341702.i | 0.570963 | + | 0.274961i | ||||
\(275\) | 24054.7 | + | 11584.1i | 0.0191809 | + | 0.00923702i | ||||
\(276\) | 375756. | − | 471183.i | 0.296916 | − | 0.372321i | ||||
\(277\) | 448543. | − | 1.96519e6i | 0.351240 | − | 1.53888i | −0.423081 | − | 0.906092i | \(-0.639052\pi\) |
0.774322 | − | 0.632792i | \(-0.218091\pi\) | |||||||
\(278\) | −269582. | − | 1.18112e6i | −0.209208 | − | 0.916601i | ||||
\(279\) | −700441. | + | 878325.i | −0.538717 | + | 0.675530i | ||||
\(280\) | 287798. | − | 360887.i | 0.219378 | − | 0.275091i | ||||
\(281\) | −505107. | − | 2.21302e6i | −0.381608 | − | 1.67193i | −0.692446 | − | 0.721470i | \(-0.743467\pi\) |
0.310838 | − | 0.950463i | \(-0.399390\pi\) | |||||||
\(282\) | 146652. | − | 642523.i | 0.109816 | − | 0.481134i | ||||
\(283\) | −552783. | + | 693168.i | −0.410288 | + | 0.514484i | −0.943444 | − | 0.331532i | \(-0.892434\pi\) |
0.533156 | + | 0.846017i | \(0.321006\pi\) | |||||||
\(284\) | 612340. | + | 294887.i | 0.450502 | + | 0.216950i | ||||
\(285\) | −623511. | − | 300267.i | −0.454707 | − | 0.218975i | ||||
\(286\) | −457231. | + | 2.00326e6i | −0.330537 | + | 1.44818i | ||||
\(287\) | −183165. | − | 229681.i | −0.131261 | − | 0.164597i | ||||
\(288\) | 1.40413e6 | − | 676194.i | 0.997531 | − | 0.480386i | ||||
\(289\) | −74551.0 | − | 93484.0i | −0.0525060 | − | 0.0658405i | ||||
\(290\) | 768504. | + | 3.36704e6i | 0.536601 | + | 2.35100i | ||||
\(291\) | −544216. | − | 262081.i | −0.376738 | − | 0.181427i | ||||
\(292\) | −155553. | − | 681521.i | −0.106763 | − | 0.467759i | ||||
\(293\) | −641648. | + | 309002.i | −0.436645 | + | 0.210277i | −0.639275 | − | 0.768978i | \(-0.720765\pi\) |
0.202630 | + | 0.979255i | \(0.435051\pi\) | |||||||
\(294\) | 853826. | 0.576104 | ||||||||
\(295\) | −1.32597e6 | −0.887110 | ||||||||
\(296\) | −439949. | + | 211868.i | −0.291859 | + | 0.140552i | ||||
\(297\) | −266595. | + | 1.16803e6i | −0.175372 | + | 0.768355i | ||||
\(298\) | −970914. | + | 1.21749e6i | −0.633344 | + | 0.794189i | ||||
\(299\) | 1.45008e6 | + | 1.81834e6i | 0.938025 | + | 1.17625i | ||||
\(300\) | 9608.21 | 0.00616367 | ||||||||
\(301\) | −2.11724e6 | − | 840430.i | −1.34696 | − | 0.534669i | ||||
\(302\) | 3.55879e6 | 2.24536 | ||||||||
\(303\) | −531734. | − | 666773.i | −0.332727 | − | 0.417226i | ||||
\(304\) | 1.51460e6 | − | 1.89925e6i | 0.939970 | − | 1.17868i | ||||
\(305\) | 314118. | − | 1.37624e6i | 0.193350 | − | 0.847120i | ||||
\(306\) | 1.61707e6 | − | 778740.i | 0.987246 | − | 0.475433i | ||||
\(307\) | −3.01355e6 | −1.82487 | −0.912436 | − | 0.409220i | \(-0.865801\pi\) | ||||
−0.912436 | + | 0.409220i | \(0.865801\pi\) | |||||||
\(308\) | 2.16636e6 | 1.30123 | ||||||||
\(309\) | 324432. | − | 156238.i | 0.193298 | − | 0.0930874i | ||||
\(310\) | 511527. | + | 2.24114e6i | 0.302318 | + | 1.32454i | ||||
\(311\) | 2.74954e6 | + | 1.32411e6i | 1.61197 | + | 0.776286i | 0.999895 | − | 0.0145095i | \(-0.00461868\pi\) |
0.612080 | + | 0.790796i | \(0.290333\pi\) | |||||||
\(312\) | −36569.4 | − | 160221.i | −0.0212682 | − | 0.0931822i | ||||
\(313\) | −188881. | − | 236850.i | −0.108975 | − | 0.136651i | 0.724353 | − | 0.689430i | \(-0.242139\pi\) |
−0.833328 | + | 0.552779i | \(0.813567\pi\) | |||||||
\(314\) | −2.63003e6 | + | 1.26655e6i | −1.50534 | + | 0.724936i | ||||
\(315\) | −1.33808e6 | − | 1.67789e6i | −0.759809 | − | 0.952770i | ||||
\(316\) | −164241. | + | 719587.i | −0.0925261 | + | 0.405383i | ||||
\(317\) | 951786. | + | 458356.i | 0.531975 | + | 0.256186i | 0.680532 | − | 0.732718i | \(-0.261749\pi\) |
−0.148557 | + | 0.988904i | \(0.547463\pi\) | |||||||
\(318\) | −692536. | − | 333508.i | −0.384038 | − | 0.184943i | ||||
\(319\) | 2.24599e6 | − | 2.81639e6i | 1.23575 | − | 1.54959i | ||||
\(320\) | 245930. | − | 1.07749e6i | 0.134257 | − | 0.588217i | ||||
\(321\) | 159842. | + | 700312.i | 0.0865820 | + | 0.379340i | ||||
\(322\) | 3.39743e6 | − | 4.26025e6i | 1.82604 | − | 2.28979i | ||||
\(323\) | 1.46820e6 | − | 1.84106e6i | 0.783029 | − | 0.981888i | ||||
\(324\) | −196190. | − | 859563.i | −0.103828 | − | 0.454899i | ||||
\(325\) | −8250.87 | + | 36149.4i | −0.00433303 | + | 0.0189842i | ||||
\(326\) | −2.37467e6 | + | 2.97774e6i | −1.23754 | + | 1.55182i | ||||
\(327\) | −294814. | − | 141975.i | −0.152468 | − | 0.0734246i | ||||
\(328\) | 62526.5 | + | 30111.2i | 0.0320907 | + | 0.0154541i | ||||
\(329\) | 596678. | − | 2.61422e6i | 0.303914 | − | 1.33153i | ||||
\(330\) | 701919. | + | 880178.i | 0.354815 | + | 0.444924i | ||||
\(331\) | −1.40611e6 | + | 677149.i | −0.705425 | + | 0.339715i | −0.751966 | − | 0.659202i | \(-0.770894\pi\) |
0.0465415 | + | 0.998916i | \(0.485180\pi\) | |||||||
\(332\) | 51211.0 | + | 64216.6i | 0.0254987 | + | 0.0319744i | ||||
\(333\) | 505192. | + | 2.21339e6i | 0.249658 | + | 1.09382i | ||||
\(334\) | −362328. | − | 174488.i | −0.177720 | − | 0.0855854i | ||||
\(335\) | 74918.1 | + | 328238.i | 0.0364733 | + | 0.159800i | ||||
\(336\) | −1.20543e6 | + | 580505.i | −0.582498 | + | 0.280516i | ||||
\(337\) | −3.05455e6 | −1.46512 | −0.732560 | − | 0.680703i | \(-0.761675\pi\) | ||||
−0.732560 | + | 0.680703i | \(0.761675\pi\) | |||||||
\(338\) | −21563.7 | −0.0102667 | ||||||||
\(339\) | 753555. | − | 362893.i | 0.356136 | − | 0.171506i | ||||
\(340\) | 367751. | − | 1.61122e6i | 0.172527 | − | 0.755889i | ||||
\(341\) | 1.49496e6 | − | 1.87462e6i | 0.696217 | − | 0.873029i | ||||
\(342\) | −2.02658e6 | − | 2.54126e6i | −0.936913 | − | 1.17485i | ||||
\(343\) | 316302. | 0.145167 | ||||||||
\(344\) | 536775. | − | 38136.7i | 0.244566 | − | 0.0173759i | ||||
\(345\) | 1.27425e6 | 0.576379 | ||||||||
\(346\) | 992609. | + | 1.24469e6i | 0.445747 | + | 0.558949i | ||||
\(347\) | −535427. | + | 671404.i | −0.238713 | + | 0.299337i | −0.886729 | − | 0.462290i | \(-0.847028\pi\) |
0.648015 | + | 0.761627i | \(0.275599\pi\) | |||||||
\(348\) | 288471. | − | 1.26387e6i | 0.127689 | − | 0.559443i | ||||
\(349\) | −3.41227e6 | + | 1.64327e6i | −1.49962 | + | 0.722178i | −0.990370 | − | 0.138443i | \(-0.955790\pi\) |
−0.509247 | + | 0.860620i | \(0.670076\pi\) | |||||||
\(350\) | 86873.5 | 0.0379068 | ||||||||
\(351\) | −1.66387e6 | −0.720861 | ||||||||
\(352\) | −2.99686e6 | + | 1.44321e6i | −1.28917 | + | 0.620831i | ||||
\(353\) | 319603. | + | 1.40027e6i | 0.136513 | + | 0.598103i | 0.996186 | + | 0.0872579i | \(0.0278104\pi\) |
−0.859673 | + | 0.510845i | \(0.829332\pi\) | |||||||
\(354\) | 996529. | + | 479903.i | 0.422651 | + | 0.203538i | ||||
\(355\) | 319767. | + | 1.40099e6i | 0.134667 | + | 0.590016i | ||||
\(356\) | 1.76393e6 | + | 2.21189e6i | 0.737659 | + | 0.924995i | ||||
\(357\) | −1.16850e6 | + | 562720.i | −0.485242 | + | 0.233680i | ||||
\(358\) | −534523. | − | 670271.i | −0.220424 | − | 0.276403i | ||||
\(359\) | 877474. | − | 3.84447e6i | 0.359334 | − | 1.57435i | −0.395523 | − | 0.918456i | \(-0.629437\pi\) |
0.754857 | − | 0.655889i | \(-0.227706\pi\) | |||||||
\(360\) | 456776. | + | 219972.i | 0.185758 | + | 0.0894562i | ||||
\(361\) | −1.61132e6 | − | 775971.i | −0.650749 | − | 0.313384i | ||||
\(362\) | 3.06496e6 | − | 3.84333e6i | 1.22929 | − | 1.54148i | ||||
\(363\) | 44344.7 | − | 194287.i | 0.0176634 | − | 0.0773886i | ||||
\(364\) | 669485. | + | 2.93320e6i | 0.264842 | + | 1.16035i | ||||
\(365\) | 921542. | − | 1.15558e6i | 0.362062 | − | 0.454012i | ||||
\(366\) | −734174. | + | 920625.i | −0.286481 | + | 0.359236i | ||||
\(367\) | −304129. | − | 1.33248e6i | −0.117867 | − | 0.516409i | −0.999048 | − | 0.0436298i | \(-0.986108\pi\) |
0.881181 | − | 0.472780i | \(-0.156749\pi\) | |||||||
\(368\) | −995316. | + | 4.36077e6i | −0.383126 | + | 1.67858i | ||||
\(369\) | 201177. | − | 252267.i | 0.0769151 | − | 0.0964485i | ||||
\(370\) | 4.18553e6 | + | 2.01565e6i | 1.58945 | + | 0.765438i | ||||
\(371\) | −2.81771e6 | − | 1.35694e6i | −1.06282 | − | 0.511828i | ||||
\(372\) | 192010. | − | 841252.i | 0.0719394 | − | 0.315187i | ||||
\(373\) | −2.05556e6 | − | 2.57759e6i | −0.764994 | − | 0.959272i | 0.234925 | − | 0.972014i | \(-0.424516\pi\) |
−0.999919 | + | 0.0127411i | \(0.995944\pi\) | |||||||
\(374\) | −3.45134e6 | + | 1.66208e6i | −1.27588 | + | 0.614431i | ||||
\(375\) | 665613. | + | 834653.i | 0.244424 | + | 0.306498i | ||||
\(376\) | 140955. | + | 617566.i | 0.0514177 | + | 0.225275i | ||||
\(377\) | 4.50741e6 | + | 2.17066e6i | 1.63333 | + | 0.786571i | ||||
\(378\) | 867459. | + | 3.80058e6i | 0.312262 | + | 1.36811i | ||||
\(379\) | 141135. | − | 67966.9i | 0.0504703 | − | 0.0243052i | −0.408478 | − | 0.912768i | \(-0.633940\pi\) |
0.458949 | + | 0.888463i | \(0.348226\pi\) | |||||||
\(380\) | −2.99295e6 | −1.06326 | ||||||||
\(381\) | −591932. | −0.208910 | ||||||||
\(382\) | −6.43343e6 | + | 3.09818e6i | −2.25571 | + | 1.08629i | ||||
\(383\) | −805577. | + | 3.52946e6i | −0.280614 | + | 1.22945i | 0.616394 | + | 0.787438i | \(0.288593\pi\) |
−0.897008 | + | 0.442014i | \(0.854264\pi\) | |||||||
\(384\) | 337413. | − | 423102.i | 0.116771 | − | 0.146426i | ||||
\(385\) | 2.85588e6 | + | 3.58116e6i | 0.981947 | + | 1.23132i | ||||
\(386\) | 41124.7 | 0.0140486 | ||||||||
\(387\) | 382471. | − | 2.47255e6i | 0.129814 | − | 0.839203i | ||||
\(388\) | −2.61232e6 | −0.880942 | ||||||||
\(389\) | −1.83605e6 | − | 2.30233e6i | −0.615191 | − | 0.771425i | 0.372468 | − | 0.928045i | \(-0.378512\pi\) |
−0.987659 | + | 0.156620i | \(0.949940\pi\) | |||||||
\(390\) | −974822. | + | 1.22239e6i | −0.324537 | + | 0.406956i | ||||
\(391\) | −964823. | + | 4.22717e6i | −0.319158 | + | 1.39832i | ||||
\(392\) | −739391. | + | 356072.i | −0.243030 | + | 0.117037i | ||||
\(393\) | −183034. | −0.0597791 | ||||||||
\(394\) | −2.30026e6 | −0.746510 | ||||||||
\(395\) | −1.40605e6 | + | 677117.i | −0.453427 | + | 0.218359i | ||||
\(396\) | 529466. | + | 2.31974e6i | 0.169668 | + | 0.743364i | ||||
\(397\) | 754611. | + | 363402.i | 0.240296 | + | 0.115721i | 0.550157 | − | 0.835061i | \(-0.314568\pi\) |
−0.309860 | + | 0.950782i | \(0.600282\pi\) | |||||||
\(398\) | −990971. | − | 4.34173e6i | −0.313584 | − | 1.37390i | ||||
\(399\) | 1.46442e6 | + | 1.83632e6i | 0.460503 | + | 0.577452i | ||||
\(400\) | −64248.9 | + | 30940.7i | −0.0200778 | + | 0.00966896i | ||||
\(401\) | −14411.6 | − | 18071.6i | −0.00447560 | − | 0.00561222i | 0.779589 | − | 0.626292i | \(-0.215428\pi\) |
−0.784064 | + | 0.620680i | \(0.786857\pi\) | |||||||
\(402\) | 62493.5 | − | 273802.i | 0.0192872 | − | 0.0845028i | ||||
\(403\) | 3.00019e6 | + | 1.44482e6i | 0.920210 | + | 0.443150i | ||||
\(404\) | −3.32307e6 | − | 1.60031e6i | −1.01295 | − | 0.487809i | ||||
\(405\) | 1.16229e6 | − | 1.45746e6i | 0.352108 | − | 0.441530i | ||||
\(406\) | 2.60824e6 | − | 1.14274e7i | 0.785294 | − | 3.44060i | ||||
\(407\) | −1.07824e6 | − | 4.72408e6i | −0.322649 | − | 1.41362i | ||||
\(408\) | 191025. | − | 239538.i | 0.0568120 | − | 0.0712400i | ||||
\(409\) | 514390. | − | 645024.i | 0.152049 | − | 0.190664i | −0.699973 | − | 0.714169i | \(-0.746805\pi\) |
0.852022 | + | 0.523506i | \(0.175376\pi\) | |||||||
\(410\) | −146918. | − | 643689.i | −0.0431633 | − | 0.189111i | ||||
\(411\) | 139085. | − | 609372.i | 0.0406140 | − | 0.177942i | ||||
\(412\) | 970974. | − | 1.21756e6i | 0.281815 | − | 0.353385i | ||||
\(413\) | 4.05456e6 | + | 1.95257e6i | 1.16968 | + | 0.563290i | ||||
\(414\) | 5.39221e6 | + | 2.59675e6i | 1.54620 | + | 0.744611i | ||||
\(415\) | −38644.2 | + | 169311.i | −0.0110145 | + | 0.0482576i | ||||
\(416\) | −2.88021e6 | − | 3.61167e6i | −0.816002 | − | 1.02323i | ||||
\(417\) | −866293. | + | 417185.i | −0.243964 | + | 0.117487i | ||||
\(418\) | 4.32538e6 | + | 5.42385e6i | 1.21083 | + | 1.51833i | ||||
\(419\) | −36855.7 | − | 161475.i | −0.0102558 | − | 0.0449336i | 0.969541 | − | 0.244929i | \(-0.0787645\pi\) |
−0.979797 | + | 0.199995i | \(0.935907\pi\) | |||||||
\(420\) | 1.48516e6 | + | 715214.i | 0.410818 | + | 0.197840i | ||||
\(421\) | −899194. | − | 3.93962e6i | −0.247257 | − | 1.08330i | −0.934244 | − | 0.356633i | \(-0.883925\pi\) |
0.686988 | − | 0.726669i | \(-0.258933\pi\) | |||||||
\(422\) | 2.56131e6 | − | 1.23346e6i | 0.700133 | − | 0.337166i | ||||
\(423\) | 2.94513e6 | 0.800302 | ||||||||
\(424\) | 738801. | 0.199578 | ||||||||
\(425\) | −62280.6 | + | 29992.7i | −0.0167255 | + | 0.00805460i | ||||
\(426\) | 266736. | − | 1.16864e6i | 0.0712126 | − | 0.312003i | ||||
\(427\) | −2.98712e6 | + | 3.74573e6i | −0.792835 | + | 0.994183i | ||||
\(428\) | 1.93693e6 | + | 2.42883e6i | 0.511098 | + | 0.640896i | ||||
\(429\) | 1.63080e6 | 0.427816 | ||||||||
\(430\) | −3.46764e6 | − | 3.76637e6i | −0.904406 | − | 0.982317i | ||||
\(431\) | −3.20911e6 | −0.832130 | −0.416065 | − | 0.909335i | \(-0.636591\pi\) | ||||
−0.416065 | + | 0.909335i | \(0.636591\pi\) | |||||||
\(432\) | −1.99515e6 | − | 2.50184e6i | −0.514359 | − | 0.644986i | ||||
\(433\) | 638664. | − | 800859.i | 0.163702 | − | 0.205275i | −0.693214 | − | 0.720731i | \(-0.743806\pi\) |
0.856916 | + | 0.515456i | \(0.172378\pi\) | |||||||
\(434\) | 1.73608e6 | − | 7.60626e6i | 0.442430 | − | 1.93841i | ||||
\(435\) | 2.46957e6 | − | 1.18928e6i | 0.625745 | − | 0.301343i | ||||
\(436\) | −1.41515e6 | −0.356522 | ||||||||
\(437\) | 7.85223e6 | 1.96693 | ||||||||
\(438\) | −1.11082e6 | + | 534943.i | −0.276668 | + | 0.133236i | ||||
\(439\) | −576151. | − | 2.52428e6i | −0.142684 | − | 0.625139i | −0.994805 | − | 0.101795i | \(-0.967541\pi\) |
0.852121 | − | 0.523344i | \(-0.175316\pi\) | |||||||
\(440\) | −974905. | − | 469490.i | −0.240066 | − | 0.115610i | ||||
\(441\) | 849042. | + | 3.71989e6i | 0.207889 | + | 0.910823i | ||||
\(442\) | −3.31701e6 | − | 4.15939e6i | −0.807589 | − | 1.01268i | ||||
\(443\) | 3.51771e6 | − | 1.69404e6i | 0.851629 | − | 0.410123i | 0.0434470 | − | 0.999056i | \(-0.486166\pi\) |
0.808182 | + | 0.588933i | \(0.200452\pi\) | |||||||
\(444\) | −1.08724e6 | − | 1.36336e6i | −0.261739 | − | 0.328211i | ||||
\(445\) | −1.33107e6 | + | 5.83180e6i | −0.318641 | + | 1.39606i | ||||
\(446\) | 2.08461e6 | + | 1.00389e6i | 0.496234 | + | 0.238974i | ||||
\(447\) | 1.11352e6 | + | 536241.i | 0.263589 | + | 0.126938i | ||||
\(448\) | −2.33868e6 | + | 2.93261e6i | −0.550523 | + | 0.690334i | ||||
\(449\) | −523464. | + | 2.29345e6i | −0.122538 | + | 0.536874i | 0.875975 | + | 0.482357i | \(0.160219\pi\) |
−0.998513 | + | 0.0545175i | \(0.982638\pi\) | |||||||
\(450\) | 21232.1 | + | 93024.1i | 0.00494268 | + | 0.0216553i | ||||
\(451\) | −429375. | + | 538419.i | −0.0994020 | + | 0.124646i | ||||
\(452\) | 2.25527e6 | − | 2.82802e6i | 0.519222 | − | 0.651083i | ||||
\(453\) | −628505. | − | 2.75366e6i | −0.143901 | − | 0.630471i | ||||
\(454\) | 268613. | − | 1.17687e6i | 0.0611629 | − | 0.267972i | ||||
\(455\) | −3.96624e6 | + | 4.97350e6i | −0.898152 | + | 1.12625i | ||||
\(456\) | −499904. | − | 240741.i | −0.112584 | − | 0.0542174i | ||||
\(457\) | 5.55038e6 | + | 2.67292e6i | 1.24318 | + | 0.598682i | 0.935674 | − | 0.352866i | \(-0.114793\pi\) |
0.307502 | + | 0.951548i | \(0.400507\pi\) | |||||||
\(458\) | −1.17541e6 | + | 5.14979e6i | −0.261833 | + | 1.14716i | ||||
\(459\) | −1.93403e6 | − | 2.42519e6i | −0.428480 | − | 0.537297i | ||||
\(460\) | 4.96513e6 | − | 2.39108e6i | 1.09405 | − | 0.526865i | ||||
\(461\) | 367520. | + | 460856.i | 0.0805432 | + | 0.100998i | 0.820470 | − | 0.571689i | \(-0.193712\pi\) |
−0.739927 | + | 0.672687i | \(0.765140\pi\) | |||||||
\(462\) | −850216. | − | 3.72504e6i | −0.185321 | − | 0.811944i | ||||
\(463\) | −3.21136e6 | − | 1.54651e6i | −0.696204 | − | 0.335274i | 0.0520894 | − | 0.998642i | \(-0.483412\pi\) |
−0.748293 | + | 0.663368i | \(0.769126\pi\) | |||||||
\(464\) | 2.14100e6 | + | 9.38032e6i | 0.461659 | + | 2.02266i | ||||
\(465\) | 1.64378e6 | − | 791601.i | 0.352541 | − | 0.169775i | ||||
\(466\) | 420317. | 0.0896627 | ||||||||
\(467\) | −3.43105e6 | −0.728007 | −0.364003 | − | 0.931398i | \(-0.618590\pi\) | ||||
−0.364003 | + | 0.931398i | \(0.618590\pi\) | |||||||
\(468\) | −2.97725e6 | + | 1.43377e6i | −0.628348 | + | 0.302597i | ||||
\(469\) | 254266. | − | 1.11401e6i | 0.0533772 | − | 0.233861i | ||||
\(470\) | 3.75742e6 | − | 4.71165e6i | 0.784593 | − | 0.983849i | ||||
\(471\) | 1.44449e6 | + | 1.81134e6i | 0.300029 | + | 0.376224i | ||||
\(472\) | −1.06310e6 | −0.219645 | ||||||||
\(473\) | −816315. | + | 5.27720e6i | −0.167766 | + | 1.08455i | ||||
\(474\) | 1.30178e6 | 0.266129 | ||||||||
\(475\) | 78052.7 | + | 97875.0i | 0.0158728 | + | 0.0199039i | ||||
\(476\) | −3.49714e6 | + | 4.38528e6i | −0.707450 | + | 0.887114i | ||||
\(477\) | 764350. | − | 3.34884e6i | 0.153814 | − | 0.673904i | ||||
\(478\) | 9.02048e6 | − | 4.34403e6i | 1.80576 | − | 0.869608i | ||||
\(479\) | −9.62644e6 | −1.91702 | −0.958511 | − | 0.285056i | \(-0.907988\pi\) | ||||
−0.958511 | + | 0.285056i | \(0.907988\pi\) | |||||||
\(480\) | −2.53098e6 | −0.501401 | ||||||||
\(481\) | 6.06308e6 | − | 2.91982e6i | 1.19490 | − | 0.575432i | ||||
\(482\) | 991084. | + | 4.34222e6i | 0.194309 | + | 0.851323i | ||||
\(483\) | −3.89643e6 | − | 1.87642e6i | −0.759974 | − | 0.365984i | ||||
\(484\) | −191781. | − | 840250.i | −0.0372129 | − | 0.163040i | ||||
\(485\) | −3.44378e6 | − | 4.31836e6i | −0.664784 | − | 0.833613i | ||||
\(486\) | −5.94379e6 | + | 2.86238e6i | −1.14149 | + | 0.549714i | ||||
\(487\) | −813233. | − | 1.01976e6i | −0.155379 | − | 0.194839i | 0.698049 | − | 0.716050i | \(-0.254052\pi\) |
−0.853428 | + | 0.521211i | \(0.825480\pi\) | |||||||
\(488\) | 251846. | − | 1.10341e6i | 0.0478725 | − | 0.209743i | ||||
\(489\) | 2.72344e6 | + | 1.31154e6i | 0.515046 | + | 0.248033i | ||||
\(490\) | 7.03434e6 | + | 3.38756e6i | 1.32353 | + | 0.637377i | ||||
\(491\) | −2.03062e6 | + | 2.54632e6i | −0.380124 | + | 0.476660i | −0.934682 | − | 0.355485i | \(-0.884316\pi\) |
0.554558 | + | 0.832145i | \(0.312887\pi\) | |||||||
\(492\) | −55148.1 | + | 241620.i | −0.0102711 | + | 0.0450007i | ||||
\(493\) | 2.07540e6 | + | 9.09294e6i | 0.384579 | + | 1.68495i | ||||
\(494\) | −6.00706e6 | + | 7.53262e6i | −1.10750 | + | 1.38876i | ||||
\(495\) | −3.13672e6 | + | 3.93332e6i | −0.575390 | + | 0.721517i | ||||
\(496\) | 1.42508e6 | + | 6.24367e6i | 0.260096 | + | 1.13956i | ||||
\(497\) | 1.08526e6 | − | 4.75484e6i | 0.197080 | − | 0.863465i | ||||
\(498\) | 90321.4 | − | 113259.i | 0.0163199 | − | 0.0204645i | ||||
\(499\) | −2.72303e6 | − | 1.31134e6i | −0.489554 | − | 0.235757i | 0.172787 | − | 0.984959i | \(-0.444723\pi\) |
−0.662341 | + | 0.749202i | \(0.730437\pi\) | |||||||
\(500\) | 4.15975e6 | + | 2.00323e6i | 0.744119 | + | 0.358349i | ||||
\(501\) | −71023.0 | + | 311172.i | −0.0126417 | + | 0.0553868i | ||||
\(502\) | −4.37142e6 | − | 5.48159e6i | −0.774218 | − | 0.970839i | ||||
\(503\) | 1.68593e6 | − | 811900.i | 0.297111 | − | 0.143081i | −0.279390 | − | 0.960178i | \(-0.590132\pi\) |
0.576501 | + | 0.817097i | \(0.304418\pi\) | |||||||
\(504\) | −1.07281e6 | − | 1.34526e6i | −0.188125 | − | 0.235902i | ||||
\(505\) | −1.73532e6 | − | 7.60294e6i | −0.302797 | − | 1.32664i | ||||
\(506\) | −1.15087e7 | − | 5.54229e6i | −1.99825 | − | 0.962306i | ||||
\(507\) | 3808.29 | + | 16685.2i | 0.000657977 | + | 0.00288278i | ||||
\(508\) | −2.30646e6 | + | 1.11073e6i | −0.396540 | + | 0.190964i | ||||
\(509\) | 5.11862e6 | 0.875706 | 0.437853 | − | 0.899047i | \(-0.355739\pi\) | ||||
0.437853 | + | 0.899047i | \(0.355739\pi\) | |||||||
\(510\) | −2.91481e6 | −0.496232 | ||||||||
\(511\) | −4.51957e6 | + | 2.17651e6i | −0.765675 | + | 0.368730i | ||||
\(512\) | 1.60518e6 | − | 7.03274e6i | 0.270613 | − | 1.18563i | ||||
\(513\) | −3.50250e6 | + | 4.39200e6i | −0.587604 | + | 0.736833i | ||||
\(514\) | 5.92325e6 | + | 7.42752e6i | 0.988900 | + | 1.24004i | ||||
\(515\) | 3.29274e6 | 0.547066 | ||||||||
\(516\) | 559324. | + | 1.83852e6i | 0.0924782 | + | 0.303980i | ||||
\(517\) | −6.28585e6 | −1.03428 | ||||||||
\(518\) | −9.83041e6 | − | 1.23269e7i | −1.60971 | − | 2.01851i | ||||
\(519\) | 787796. | − | 987865.i | 0.128379 | − | 0.160983i | ||||
\(520\) | 334397. | − | 1.46509e6i | 0.0542317 | − | 0.237605i | ||||
\(521\) | −2.63202e6 | + | 1.26752e6i | −0.424811 | + | 0.204578i | −0.634059 | − | 0.773284i | \(-0.718612\pi\) |
0.209249 | + | 0.977862i | \(0.432898\pi\) | |||||||
\(522\) | 1.28740e7 | 2.06793 | ||||||||
\(523\) | 8.84996e6 | 1.41477 | 0.707387 | − | 0.706826i | \(-0.249874\pi\) | ||||
0.707387 | + | 0.706826i | \(0.249874\pi\) | |||||||
\(524\) | −713190. | + | 343454.i | −0.113469 | + | 0.0546438i | ||||
\(525\) | −15342.4 | − | 67219.5i | −0.00242938 | − | 0.0106438i | ||||
\(526\) | 2.37541e6 | + | 1.14393e6i | 0.374346 | + | 0.180276i | ||||
\(527\) | 1.38142e6 | + | 6.05238e6i | 0.216670 | + | 0.949292i | ||||
\(528\) | 1.95549e6 | + | 2.45211e6i | 0.305261 | + | 0.382786i | ||||
\(529\) | −7.22746e6 | + | 3.48056e6i | −1.12291 | + | 0.540767i | ||||
\(530\) | −4.38234e6 | − | 5.49528e6i | −0.677667 | − | 0.849767i | ||||
\(531\) | −1.09987e6 | + | 4.81883e6i | −0.169279 | + | 0.741661i | ||||
\(532\) | 9.15187e6 | + | 4.40731e6i | 1.40194 | + | 0.675141i | ||||
\(533\) | −861699. | − | 414972.i | −0.131382 | − | 0.0632705i | ||||
\(534\) | 3.11105e6 | − | 3.90114e6i | 0.472122 | − | 0.592023i | ||||
\(535\) | −1.46162e6 | + | 6.40377e6i | −0.220775 | + | 0.967278i | ||||
\(536\) | 60066.1 | + | 263167.i | 0.00903062 | + | 0.0395657i | ||||
\(537\) | −424231. | + | 531968.i | −0.0634843 | + | 0.0796068i | ||||
\(538\) | 5.67812e6 | − | 7.12014e6i | 0.845763 | − | 1.06055i | ||||
\(539\) | −1.81212e6 | − | 7.93944e6i | −0.268668 | − | 1.17711i | ||||
\(540\) | −877299. | + | 3.84370e6i | −0.129468 | + | 0.567238i | ||||
\(541\) | 1.36706e6 | − | 1.71424e6i | 0.200814 | − | 0.251813i | −0.671220 | − | 0.741258i | \(-0.734229\pi\) |
0.872034 | + | 0.489445i | \(0.162801\pi\) | |||||||
\(542\) | −8.61915e6 | − | 4.15076e6i | −1.26028 | − | 0.606918i | ||||
\(543\) | −3.51512e6 | − | 1.69279e6i | −0.511612 | − | 0.246379i | ||||
\(544\) | 1.91637e6 | − | 8.39618e6i | 0.277641 | − | 1.21642i | ||||
\(545\) | −1.86557e6 | − | 2.33935e6i | −0.269042 | − | 0.337368i | ||||
\(546\) | 4.78087e6 | − | 2.30235e6i | 0.686318 | − | 0.330513i | ||||
\(547\) | 5.13409e6 | + | 6.43794e6i | 0.733660 | + | 0.919981i | 0.999024 | − | 0.0441675i | \(-0.0140635\pi\) |
−0.265364 | + | 0.964148i | \(0.585492\pi\) | |||||||
\(548\) | −601513. | − | 2.63540e6i | −0.0855646 | − | 0.374883i | ||||
\(549\) | −4.74098e6 | − | 2.28314e6i | −0.671332 | − | 0.323297i | ||||
\(550\) | −45316.2 | − | 198543.i | −0.00638773 | − | 0.0279865i | ||||
\(551\) | 1.52180e7 | − | 7.32860e6i | 2.13540 | − | 1.02835i | ||||
\(552\) | 1.02164e6 | 0.142709 | ||||||||
\(553\) | 5.29653e6 | 0.736510 | ||||||||
\(554\) | −1.38527e7 | + | 6.67111e6i | −1.91761 | + | 0.923472i | ||||
\(555\) | 820441. | − | 3.59459e6i | 0.113062 | − | 0.495355i | ||||
\(556\) | −2.59268e6 | + | 3.25112e6i | −0.355682 | + | 0.446012i | ||||
\(557\) | −7.80460e6 | − | 9.78666e6i | −1.06589 | − | 1.33658i | −0.938711 | − | 0.344705i | \(-0.887979\pi\) |
−0.127180 | − | 0.991880i | \(-0.540593\pi\) | |||||||
\(558\) | 8.56908e6 | 1.16506 | ||||||||
\(559\) | −7.39747e6 | + | 525575.i | −1.00128 | + | 0.0711385i | ||||
\(560\) | −1.22342e7 | −1.64857 | ||||||||
\(561\) | 1.89558e6 | + | 2.37699e6i | 0.254294 | + | 0.318875i | ||||
\(562\) | −1.07953e7 | + | 1.35368e7i | −1.44176 | + | 1.80791i | ||||
\(563\) | 1.44210e6 | − | 6.31823e6i | 0.191745 | − | 0.840088i | −0.783927 | − | 0.620853i | \(-0.786787\pi\) |
0.975672 | − | 0.219235i | \(-0.0703563\pi\) | |||||||
\(564\) | −2.03810e6 | + | 981498.i | −0.269791 | + | 0.129925i | ||||
\(565\) | 7.64802e6 | 1.00792 | ||||||||
\(566\) | 6.76265e6 | 0.887311 | ||||||||
\(567\) | −5.70027e6 | + | 2.74511e6i | −0.744625 | + | 0.358593i | ||||
\(568\) | 256375. | + | 1.12325e6i | 0.0333430 | + | 0.146085i | ||||
\(569\) | 5.30283e6 | + | 2.55371e6i | 0.686637 | + | 0.330667i | 0.744467 | − | 0.667660i | \(-0.232704\pi\) |
−0.0578299 | + | 0.998326i | \(0.518418\pi\) | |||||||
\(570\) | 1.17462e6 | + | 5.14634e6i | 0.151429 | + | 0.663455i | ||||
\(571\) | 2.03276e6 | + | 2.54900e6i | 0.260913 | + | 0.327175i | 0.894982 | − | 0.446102i | \(-0.147188\pi\) |
−0.634069 | + | 0.773276i | \(0.718617\pi\) | |||||||
\(572\) | 6.35440e6 | − | 3.06012e6i | 0.812053 | − | 0.391064i | ||||
\(573\) | 3.53344e6 | + | 4.43079e6i | 0.449584 | + | 0.563761i | ||||
\(574\) | −498626. | + | 2.18463e6i | −0.0631678 | + | 0.276756i | ||||
\(575\) | −207678. | − | 100012.i | −0.0261951 | − | 0.0126149i | ||||
\(576\) | −3.71182e6 | − | 1.78752e6i | −0.466155 | − | 0.224488i | ||||
\(577\) | −2.96422e6 | + | 3.71701e6i | −0.370656 | + | 0.464788i | −0.931822 | − | 0.362915i | \(-0.881781\pi\) |
0.561166 | + | 0.827703i | \(0.310353\pi\) | |||||||
\(578\) | −202949. | + | 889178.i | −0.0252678 | + | 0.110705i | ||||
\(579\) | −7262.88 | − | 31820.7i | −0.000900352 | − | 0.00394470i | ||||
\(580\) | 7.39103e6 | − | 9.26805e6i | 0.912294 | − | 1.14398i | ||||
\(581\) | 367488. | − | 460816.i | 0.0451651 | − | 0.0566353i | ||||
\(582\) | 1.02524e6 | + | 4.49186e6i | 0.125463 | + | 0.549691i | ||||
\(583\) | −1.63137e6 | + | 7.14748e6i | −0.198783 | + | 0.870927i | ||||
\(584\) | 738854. | − | 926493.i | 0.0896450 | − | 0.112411i | ||||
\(585\) | −6.29498e6 | − | 3.03150e6i | −0.760510 | − | 0.366242i | ||||
\(586\) | 4.89428e6 | + | 2.35696e6i | 0.588769 | + | 0.283536i | ||||
\(587\) | −377955. | + | 1.65593e6i | −0.0452736 | + | 0.198357i | −0.992507 | − | 0.122188i | \(-0.961009\pi\) |
0.947233 | + | 0.320545i | \(0.103866\pi\) | |||||||
\(588\) | −1.82725e6 | − | 2.29130e6i | −0.217949 | − | 0.273300i | ||||
\(589\) | 1.01293e7 | − | 4.87801e6i | 1.20307 | − | 0.579368i | ||||
\(590\) | 6.30599e6 | + | 7.90747e6i | 0.745802 | + | 0.935206i | ||||
\(591\) | 406240. | + | 1.77985e6i | 0.0478425 | + | 0.209612i | ||||
\(592\) | 1.16606e7 | + | 5.61545e6i | 1.36747 | + | 0.658537i | ||||
\(593\) | −35451.2 | − | 155322.i | −0.00413994 | − | 0.0181383i | 0.972816 | − | 0.231580i | \(-0.0743896\pi\) |
−0.976956 | + | 0.213442i | \(0.931533\pi\) | |||||||
\(594\) | 8.23346e6 | − | 3.96503e6i | 0.957450 | − | 0.461084i | ||||
\(595\) | −1.18594e7 | −1.37332 | ||||||||
\(596\) | 5.34505e6 | 0.616362 | ||||||||
\(597\) | −3.18446e6 | + | 1.53355e6i | −0.365679 | + | 0.176102i | ||||
\(598\) | 3.94753e6 | − | 1.72953e7i | 0.451411 | − | 1.97776i | ||||
\(599\) | 6.25520e6 | − | 7.84378e6i | 0.712319 | − | 0.893220i | −0.285557 | − | 0.958362i | \(-0.592179\pi\) |
0.997876 | + | 0.0651422i | \(0.0207501\pi\) | |||||||
\(600\) | 10155.3 | + | 12734.4i | 0.00115164 | + | 0.00144411i | ||||
\(601\) | 1.29365e7 | 1.46093 | 0.730467 | − | 0.682948i | \(-0.239302\pi\) | ||||
0.730467 | + | 0.682948i | \(0.239302\pi\) | |||||||
\(602\) | 5.05718e6 | + | 1.66232e7i | 0.568745 | + | 1.86949i | ||||
\(603\) | 1.25503e6 | 0.140559 | ||||||||
\(604\) | −7.61609e6 | − | 9.55027e6i | −0.849453 | − | 1.06518i | ||||
\(605\) | 1.13617e6 | − | 1.42472e6i | 0.126199 | − | 0.158249i | ||||
\(606\) | −1.44753e6 | + | 6.34204e6i | −0.160120 | + | 0.701532i | ||||
\(607\) | −5.18651e6 | + | 2.49769e6i | −0.571352 | + | 0.275148i | −0.697171 | − | 0.716905i | \(-0.745558\pi\) |
0.125820 | + | 0.992053i | \(0.459844\pi\) | |||||||
\(608\) | −1.55964e7 | −1.71106 | ||||||||
\(609\) | −9.30276e6 | −1.01641 | ||||||||
\(610\) | −9.70116e6 | + | 4.67183e6i | −1.05560 | + | 0.508350i | ||||
\(611\) | −1.94255e6 | − | 8.51088e6i | −0.210509 | − | 0.922299i | ||||
\(612\) | −5.55046e6 | − | 2.67296e6i | −0.599033 | − | 0.288479i | ||||
\(613\) | −861529. | − | 3.77460e6i | −0.0926016 | − | 0.405714i | 0.907289 | − | 0.420508i | \(-0.138148\pi\) |
−0.999891 | + | 0.0147935i | \(0.995291\pi\) | |||||||
\(614\) | 1.43318e7 | + | 1.79715e7i | 1.53419 | + | 1.92381i | ||||
\(615\) | −472116. | + | 227359.i | −0.0503339 | + | 0.0242395i | ||||
\(616\) | 2.28972e6 | + | 2.87122e6i | 0.243126 | + | 0.304870i | ||||
\(617\) | −1.72769e6 | + | 7.56951e6i | −0.182706 | + | 0.800488i | 0.797629 | + | 0.603148i | \(0.206087\pi\) |
−0.980335 | + | 0.197340i | \(0.936770\pi\) | |||||||
\(618\) | −2.47466e6 | − | 1.19173e6i | −0.260642 | − | 0.125518i | ||||
\(619\) | 9.36871e6 | + | 4.51173e6i | 0.982773 | + | 0.473279i | 0.855058 | − | 0.518532i | \(-0.173521\pi\) |
0.127715 | + | 0.991811i | \(0.459236\pi\) | |||||||
\(620\) | 4.91957e6 | − | 6.16894e6i | 0.513982 | − | 0.644513i | ||||
\(621\) | 2.30166e6 | − | 1.00842e7i | 0.239504 | − | 1.04934i | ||||
\(622\) | −5.17979e6 | − | 2.26941e7i | −0.536829 | − | 2.35200i | ||||
\(623\) | 1.26579e7 | − | 1.58725e7i | 1.30659 | − | 1.63842i | ||||
\(624\) | −2.71578e6 | + | 3.40548e6i | −0.279212 | + | 0.350120i | ||||
\(625\) | 2.13008e6 | + | 9.33251e6i | 0.218121 | + | 0.955649i | ||||
\(626\) | −514189. | + | 2.25281e6i | −0.0524429 | + | 0.229767i | ||||
\(627\) | 3.43288e6 | − | 4.30470e6i | 0.348731 | − | 0.437295i | ||||
\(628\) | 9.02735e6 | + | 4.34734e6i | 0.913400 | + | 0.439870i | ||||
\(629\) | 1.13034e7 | + | 5.44341e6i | 1.13915 | + | 0.548585i | ||||
\(630\) | −3.64262e6 | + | 1.59594e7i | −0.365648 | + | 1.60201i | ||||
\(631\) | 1.36321e6 | + | 1.70941e6i | 0.136298 | + | 0.170912i | 0.845296 | − | 0.534298i | \(-0.179424\pi\) |
−0.708998 | + | 0.705210i | \(0.750853\pi\) | |||||||
\(632\) | −1.12731e6 | + | 542884.i | −0.112267 | + | 0.0540647i | ||||
\(633\) | −1.40675e6 | − | 1.76401e6i | −0.139543 | − | 0.174981i | ||||
\(634\) | −1.79305e6 | − | 7.85587e6i | −0.177161 | − | 0.776195i | ||||
\(635\) | −4.87669e6 | − | 2.34849e6i | −0.479945 | − | 0.231129i | ||||
\(636\) | 587088. | + | 2.57220e6i | 0.0575520 | + | 0.252152i | ||||
\(637\) | 1.01898e7 | − | 4.90715e6i | 0.994986 | − | 0.479160i | ||||
\(638\) | −2.74771e7 | −2.67251 | ||||||||
\(639\) | 5.35672e6 | 0.518975 | ||||||||
\(640\) | 4.45847e6 | − | 2.14709e6i | 0.430265 | − | 0.207205i | ||||
\(641\) | 1.69447e6 | − | 7.42395e6i | 0.162888 | − | 0.713658i | −0.825836 | − | 0.563910i | \(-0.809297\pi\) |
0.988724 | − | 0.149748i | \(-0.0478463\pi\) | |||||||
\(642\) | 3.41618e6 | − | 4.28375e6i | 0.327117 | − | 0.410192i | ||||
\(643\) | −1.10499e7 | − | 1.38561e7i | −1.05397 | − | 1.32164i | −0.944811 | − | 0.327617i | \(-0.893754\pi\) |
−0.109163 | − | 0.994024i | \(-0.534817\pi\) | |||||||
\(644\) | −1.87034e7 | −1.77708 | ||||||||
\(645\) | −2.30187e6 | + | 3.34830e6i | −0.217862 | + | 0.316902i | ||||
\(646\) | −1.79617e7 | −1.69342 | ||||||||
\(647\) | −6.02749e6 | − | 7.55824e6i | −0.566078 | − | 0.709839i | 0.413591 | − | 0.910463i | \(-0.364274\pi\) |
−0.979668 | + | 0.200624i | \(0.935703\pi\) | |||||||
\(648\) | 931874. | − | 1.16853e6i | 0.0871805 | − | 0.109321i | ||||
\(649\) | 2.34746e6 | − | 1.02849e7i | 0.218770 | − | 0.958493i | ||||
\(650\) | 254818. | − | 122714.i | 0.0236563 | − | 0.0113923i | ||||
\(651\) | −6.19204e6 | −0.572640 | ||||||||
\(652\) | 1.30729e7 | 1.20435 | ||||||||
\(653\) | 9.32868e6 | − | 4.49246e6i | 0.856125 | − | 0.412288i | 0.0462779 | − | 0.998929i | \(-0.485264\pi\) |
0.809848 | + | 0.586640i | \(0.199550\pi\) | |||||||
\(654\) | 555393. | + | 2.43334e6i | 0.0507757 | + | 0.222463i | ||||
\(655\) | −1.50794e6 | − | 726187.i | −0.137335 | − | 0.0661371i | ||||
\(656\) | −409302. | − | 1.79327e6i | −0.0371351 | − | 0.162699i | ||||
\(657\) | −3.43520e6 | − | 4.30760e6i | −0.310484 | − | 0.389334i | ||||
\(658\) | −1.84277e7 | + | 8.87431e6i | −1.65923 | + | 0.799042i | ||||
\(659\) | −5.41527e6 | − | 6.79054e6i | −0.485743 | − | 0.609103i | 0.477204 | − | 0.878793i | \(-0.341650\pi\) |
−0.962947 | + | 0.269690i | \(0.913079\pi\) | |||||||
\(660\) | 859861. | − | 3.76730e6i | 0.0768367 | − | 0.336644i | ||||
\(661\) | −1.73295e7 | − | 8.34546e6i | −1.54271 | − | 0.742928i | −0.547144 | − | 0.837039i | \(-0.684285\pi\) |
−0.995562 | + | 0.0941106i | \(0.969999\pi\) | |||||||
\(662\) | 1.07254e7 | + | 5.16507e6i | 0.951190 | + | 0.458069i | ||||
\(663\) | −2.63258e6 | + | 3.30115e6i | −0.232594 | + | 0.291663i | ||||
\(664\) | −30983.3 | + | 135747.i | −0.00272714 | + | 0.0119484i | ||||
\(665\) | 4.77914e6 | + | 2.09388e7i | 0.419079 | + | 1.83610i | ||||
\(666\) | 1.07971e7 | − | 1.35391e7i | 0.943238 | − | 1.18278i | ||||
\(667\) | −1.93909e7 | + | 2.43155e7i | −1.68766 | + | 2.11626i | ||||
\(668\) | 307159. | + | 1.34575e6i | 0.0266331 | + | 0.116687i | ||||
\(669\) | 408621. | − | 1.79028e6i | 0.0352984 | − | 0.154652i | ||||
\(670\) | 1.60117e6 | − | 2.00780e6i | 0.137800 | − | 0.172796i | ||||
\(671\) | 1.01188e7 | + | 4.87294e6i | 0.867603 | + | 0.417816i | ||||
\(672\) | 7.73926e6 | + | 3.72703e6i | 0.661114 | + | 0.318376i | ||||
\(673\) | −3.35591e6 | + | 1.47032e7i | −0.285609 | + | 1.25134i | 0.604875 | + | 0.796321i | \(0.293223\pi\) |
−0.890484 | + | 0.455015i | \(0.849634\pi\) | |||||||
\(674\) | 1.45268e7 | + | 1.82160e7i | 1.23174 | + | 1.54455i | ||||
\(675\) | 148575. | − | 71550.1i | 0.0125513 | − | 0.00604437i | ||||
\(676\) | 46148.1 | + | 57867.9i | 0.00388407 | + | 0.00487047i | ||||
\(677\) | 1.77801e6 | + | 7.78996e6i | 0.149095 | + | 0.653226i | 0.993138 | + | 0.116951i | \(0.0373120\pi\) |
−0.844043 | + | 0.536275i | \(0.819831\pi\) | |||||||
\(678\) | −5.74787e6 | − | 2.76803e6i | −0.480211 | − | 0.231258i | ||||
\(679\) | 4.17136e6 | + | 1.82759e7i | 0.347219 | + | 1.52127i | ||||
\(680\) | 2.52415e6 | − | 1.21557e6i | 0.209335 | − | 0.100811i | ||||
\(681\) | −958059. | −0.0791634 | ||||||||
\(682\) | −1.82891e7 | −1.50568 | ||||||||
\(683\) | −7.76686e6 | + | 3.74032e6i | −0.637080 | + | 0.306801i | −0.724401 | − | 0.689379i | \(-0.757884\pi\) |
0.0873213 | + | 0.996180i | \(0.472169\pi\) | |||||||
\(684\) | −2.48260e6 | + | 1.08770e7i | −0.202893 | + | 0.888930i | ||||
\(685\) | 3.56355e6 | − | 4.46855e6i | 0.290173 | − | 0.363865i | ||||
\(686\) | −1.50426e6 | − | 1.88628e6i | −0.122043 | − | 0.153037i | ||||
\(687\) | 4.19230e6 | 0.338891 | ||||||||
\(688\) | −9.66060e6 | − | 1.04928e7i | −0.778096 | − | 0.845126i | ||||
\(689\) | −1.01817e7 | −0.817092 | ||||||||
\(690\) | −6.06006e6 | − | 7.59908e6i | −0.484568 | − | 0.607629i | ||||
\(691\) | −7.86626e6 | + | 9.86398e6i | −0.626720 | + | 0.785882i | −0.989273 | − | 0.146082i | \(-0.953334\pi\) |
0.362553 | + | 0.931963i | \(0.381905\pi\) | |||||||
\(692\) | 1.21596e6 | − | 5.32748e6i | 0.0965283 | − | 0.422918i | ||||
\(693\) | 1.53836e7 | − | 7.40834e6i | 1.21681 | − | 0.585986i | ||||
\(694\) | 6.55032e6 | 0.516255 | ||||||||
\(695\) | −8.79223e6 | −0.690458 | ||||||||
\(696\) | 1.97999e6 | − | 953514.i | 0.154932 | − | 0.0746112i | ||||
\(697\) | −396762. | − | 1.73833e6i | −0.0309349 | − | 0.135535i | ||||
\(698\) | 2.60277e7 | + | 1.25343e7i | 2.02208 | + | 0.973780i | ||||
\(699\) | −74230.6 | − | 325225.i | −0.00574632 | − | 0.0251763i | ||||
\(700\) | −185916. | − | 233131.i | −0.0143408 | − | 0.0179827i | ||||
\(701\) | 1.37758e7 | − | 6.63407e6i | 1.05882 | − | 0.509900i | 0.178331 | − | 0.983970i | \(-0.442930\pi\) |
0.880487 | + | 0.474070i | \(0.157216\pi\) | |||||||
\(702\) | 7.91299e6 | + | 9.92257e6i | 0.606035 | + | 0.759944i | ||||
\(703\) | 5.05573e6 | − | 2.21506e7i | 0.385830 | − | 1.69043i | ||||
\(704\) | 7.92220e6 | + | 3.81513e6i | 0.602441 | + | 0.290120i | ||||
\(705\) | −4.30928e6 | − | 2.07524e6i | −0.326537 | − | 0.157252i | ||||
\(706\) | 6.83065e6 | − | 8.56536e6i | 0.515763 | − | 0.646746i | ||||
\(707\) | −5.88953e6 | + | 2.58037e7i | −0.443131 | + | 1.94148i | ||||
\(708\) | −844795. | − | 3.70129e6i | −0.0633386 | − | 0.277504i | ||||
\(709\) | −3.53872e6 | + | 4.43741e6i | −0.264381 | + | 0.331523i | −0.896248 | − | 0.443554i | \(-0.853718\pi\) |
0.631867 | + | 0.775077i | \(0.282289\pi\) | |||||||
\(710\) | 6.83413e6 | − | 8.56973e6i | 0.508789 | − | 0.638001i | ||||
\(711\) | 1.29449e6 | + | 5.67152e6i | 0.0960337 | + | 0.420751i | ||||
\(712\) | −1.06720e6 | + | 4.67569e6i | −0.0788941 | + | 0.345657i | ||||
\(713\) | −1.29069e7 | + | 1.61847e7i | −0.950817 | + | 1.19229i | ||||
\(714\) | 8.91294e6 | + | 4.29224e6i | 0.654298 | + | 0.315093i | ||||
\(715\) | 1.34355e7 | + | 6.47019e6i | 0.982853 | + | 0.473317i | ||||
\(716\) | −654799. | + | 2.86886e6i | −0.0477338 | + | 0.209135i | ||||
\(717\) | −4.95433e6 | − | 6.21253e6i | −0.359904 | − | 0.451305i | ||||
\(718\) | −2.70997e7 | + | 1.30506e7i | −1.96180 | + | 0.944752i | ||||
\(719\) | −5.17552e6 | − | 6.48990e6i | −0.373363 | − | 0.468183i | 0.559282 | − | 0.828978i | \(-0.311077\pi\) |
−0.932645 | + | 0.360795i | \(0.882505\pi\) | |||||||
\(720\) | −2.99008e6 | − | 1.31004e7i | −0.214957 | − | 0.941788i | ||||
\(721\) | −1.00686e7 | − | 4.84877e6i | −0.721324 | − | 0.347371i | ||||
\(722\) | 3.03553e6 | + | 1.32995e7i | 0.216716 | + | 0.949496i | ||||
\(723\) | 3.18482e6 | − | 1.53373e6i | 0.226589 | − | 0.109120i | ||||
\(724\) | −1.68731e7 | −1.19632 | ||||||||
\(725\) | −495833. | −0.0350341 | ||||||||
\(726\) | −1.36953e6 | + | 659533.i | −0.0964342 | + | 0.0464403i | ||||
\(727\) | 4.90410e6 | − | 2.14863e7i | 0.344131 | − | 1.50773i | −0.446133 | − | 0.894967i | \(-0.647199\pi\) |
0.790263 | − | 0.612768i | \(-0.209944\pi\) | |||||||
\(728\) | −3.17996e6 | + | 3.98754e6i | −0.222379 | + | 0.278854i | ||||
\(729\) | −1.83759e6 | − | 2.30426e6i | −0.128064 | − | 0.160588i | ||||
\(730\) | −1.12740e7 | −0.783016 | ||||||||
\(731\) | −9.36464e6 | − | 1.01714e7i | −0.648183 | − | 0.704021i | ||||
\(732\) | 4.04175e6 | 0.278800 | ||||||||
\(733\) | −1.60397e7 | − | 2.01132e7i | −1.10265 | − | 1.38268i | −0.916444 | − | 0.400164i | \(-0.868953\pi\) |
−0.186203 | − | 0.982511i | \(-0.559618\pi\) | |||||||
\(734\) | −6.49992e6 | + | 8.15064e6i | −0.445316 | + | 0.558408i | ||||
\(735\) | 1.37886e6 | − | 6.04117e6i | 0.0941459 | − | 0.412480i | ||||
\(736\) | 2.58736e7 | − | 1.24601e7i | 1.76061 | − | 0.847864i | ||||
\(737\) | −2.67862e6 | −0.181653 | ||||||||
\(738\) | −2.46116e6 | −0.166341 | ||||||||
\(739\) | 5.02308e6 | − | 2.41899e6i | 0.338344 | − | 0.162938i | −0.256994 | − | 0.966413i | \(-0.582732\pi\) |
0.595339 | + | 0.803475i | \(0.297018\pi\) | |||||||
\(740\) | −3.54823e6 | − | 1.55458e7i | −0.238195 | − | 1.04360i | ||||
\(741\) | 6.88935e6 | + | 3.31773e6i | 0.460927 | + | 0.221971i | ||||
\(742\) | 5.30821e6 | + | 2.32568e7i | 0.353947 | + | 1.55074i | ||||
\(743\) | 8.95008e6 | + | 1.12231e7i | 0.594778 | + | 0.745828i | 0.984554 | − | 0.175081i | \(-0.0560189\pi\) |
−0.389776 | + | 0.920910i | \(0.627447\pi\) | |||||||
\(744\) | 1.31791e6 | − | 634672.i | 0.0872877 | − | 0.0420356i | ||||
\(745\) | 7.04628e6 | + | 8.83576e6i | 0.465125 | + | 0.583248i | ||||
\(746\) | −5.59582e6 | + | 2.45169e7i | −0.368143 | + | 1.61294i | ||||
\(747\) | 583257. | + | 280882.i | 0.0382435 | + | 0.0184171i | ||||
\(748\) | 1.18465e7 | + | 5.70495e6i | 0.774166 | + | 0.372819i | ||||
\(749\) | 1.38993e7 | − | 1.74292e7i | 0.905293 | − | 1.13520i | ||||
\(750\) | 1.81199e6 | − | 7.93884e6i | 0.117626 | − | 0.515352i | ||||
\(751\) | 1.43128e6 | + | 6.27084e6i | 0.0926028 | + | 0.405719i | 0.999891 | − | 0.0147908i | \(-0.00470824\pi\) |
−0.907288 | + | 0.420510i | \(0.861851\pi\) | |||||||
\(752\) | 1.04679e7 | − | 1.31263e7i | 0.675017 | − | 0.846444i | ||||
\(753\) | −3.46943e6 | + | 4.35053e6i | −0.222982 | + | 0.279611i | ||||
\(754\) | −8.49142e6 | − | 3.72034e7i | −0.543941 | − | 2.38316i | ||||
\(755\) | 5.74715e6 | − | 2.51799e7i | 0.366932 | − | 1.60763i | ||||
\(756\) | 8.34271e6 | − | 1.04614e7i | 0.530888 | − | 0.665712i | ||||
\(757\) | −1.10051e7 | − | 5.29977e6i | −0.697998 | − | 0.336138i | 0.0510110 | − | 0.998698i | \(-0.483756\pi\) |
−0.749009 | + | 0.662560i | \(0.769470\pi\) | |||||||
\(758\) | −1.07653e6 | − | 518429.i | −0.0680538 | − | 0.0327730i | ||||
\(759\) | −2.25591e6 | + | 9.88381e6i | −0.142141 | + | 0.622759i | ||||
\(760\) | −3.16337e6 | − | 3.96674e6i | −0.198663 | − | 0.249115i | ||||
\(761\) | 1.09110e7 | − | 5.25444e6i | 0.682969 | − | 0.328901i | −0.0600265 | − | 0.998197i | \(-0.519119\pi\) |
0.742996 | + | 0.669296i | \(0.233404\pi\) | |||||||
\(762\) | 2.81509e6 | + | 3.53002e6i | 0.175633 | + | 0.220236i | ||||
\(763\) | 2.25971e6 | + | 9.90046e6i | 0.140521 | + | 0.615664i | ||||
\(764\) | 2.20822e7 | + | 1.06342e7i | 1.36870 | + | 0.659132i | ||||
\(765\) | −2.89847e6 | − | 1.26990e7i | −0.179067 | − | 0.784544i | ||||
\(766\) | 2.48793e7 | − | 1.19812e7i | 1.53202 | − | 0.737784i | ||||
\(767\) | 1.46510e7 | 0.899245 | ||||||||
\(768\) | −7.99549e6 | −0.489150 | ||||||||
\(769\) | 1.04809e7 | − | 5.04734e6i | 0.639121 | − | 0.307785i | −0.0861144 | − | 0.996285i | \(-0.527445\pi\) |
0.725236 | + | 0.688501i | \(0.241731\pi\) | |||||||
\(770\) | 7.77452e6 | − | 3.40624e7i | 0.472549 | − | 2.07037i | ||||
\(771\) | 4.70106e6 | − | 5.89494e6i | 0.284813 | − | 0.357144i | ||||
\(772\) | −88010.0 | − | 110361.i | −0.00531482 | − | 0.00666457i | ||||
\(773\) | −3.51323e6 | −0.211474 | −0.105737 | − | 0.994394i | \(-0.533720\pi\) | ||||
−0.105737 | + | 0.994394i | \(0.533720\pi\) | |||||||
\(774\) | −1.65641e7 | + | 9.47798e6i | −0.993838 | + | 0.568674i | ||||
\(775\) | −330033. | −0.0197380 | ||||||||
\(776\) | −2.76107e6 | − | 3.46228e6i | −0.164598 | − | 0.206399i | ||||
\(777\) | −7.80202e6 | + | 9.78342e6i | −0.463612 | + | 0.581351i | ||||
\(778\) | −4.99824e6 | + | 2.18987e7i | −0.296052 | + | 1.29709i | ||||
\(779\) | −2.90928e6 | + | 1.40104e6i | −0.171768 | + | 0.0827190i | ||||
\(780\) | 5.36656e6 | 0.315834 | ||||||||
\(781\) | −1.14329e7 | −0.670703 | ||||||||
\(782\) | 2.97974e7 | − | 1.43497e7i | 1.74246 | − | 0.839122i | ||||
\(783\) | −4.95104e6 | − | 2.16919e7i | −0.288597 | − | 1.26443i | ||||
\(784\) | 1.95971e7 | + | 9.43749e6i | 1.13868 | + | 0.548361i | ||||
\(785\) | 4.71412e6 | + | 2.06539e7i | 0.273040 | + | 1.19627i | ||||
\(786\) | 870467. | + | 1.09153e6i | 0.0502569 | + | 0.0630202i | ||||
\(787\) | −8.31593e6 | + | 4.00474e6i | −0.478601 | + | 0.230482i | −0.657600 | − | 0.753367i | \(-0.728428\pi\) |
0.178999 | + | 0.983849i | \(0.442714\pi\) | |||||||
\(788\) | 4.92273e6 | + | 6.17291e6i | 0.282417 | + | 0.354139i | ||||
\(789\) | 465623. | − | 2.04003e6i | 0.0266282 | − | 0.116666i | ||||
\(790\) | 1.07249e7 | + | 5.16482e6i | 0.611398 | + | 0.294434i | ||||
\(791\) | −2.33862e7 | − | 1.12622e7i | −1.32898 | − | 0.640003i | ||||
\(792\) | −2.51489e6 | + | 3.15357e6i | −0.142464 | + | 0.178644i | ||||
\(793\) | −3.47078e6 | + | 1.52065e7i | −0.195995 | + | 0.858708i | ||||
\(794\) | −1.42160e6 | − | 6.22842e6i | −0.0800249 | − | 0.350612i | ||||
\(795\) | −3.47809e6 | + | 4.36139e6i | −0.195175 | + | 0.244741i | ||||
\(796\) | −9.53059e6 | + | 1.19510e7i | −0.533135 | + | 0.668530i | ||||
\(797\) | 4.27295e6 | + | 1.87210e7i | 0.238277 | + | 1.04396i | 0.942559 | + | 0.334039i | \(0.108412\pi\) |
−0.704283 | + | 0.709920i | \(0.748731\pi\) | |||||||
\(798\) | 3.98656e6 | − | 1.74662e7i | 0.221611 | − | 0.970940i | ||||
\(799\) | 1.01472e7 | − | 1.27242e7i | 0.562314 | − | 0.705119i | ||||
\(800\) | 412499. | + | 198649.i | 0.0227876 | + | 0.0109739i | ||||
\(801\) | 2.00899e7 | + | 9.67476e6i | 1.10636 | + | 0.532794i | ||||
\(802\) | −39232.5 | + | 171889.i | −0.00215382 | + | 0.00943650i | ||||
\(803\) | 7.33181e6 | + | 9.19380e6i | 0.401257 | + | 0.503160i | ||||
\(804\) | −868508. | + | 418251.i | −0.0473842 | + | 0.0228190i | ||||
\(805\) | −2.46564e7 | − | 3.09182e7i | −1.34104 | − | 1.68161i | ||||
\(806\) | −5.65200e6 | − | 2.47630e7i | −0.306454 | − | 1.34266i | ||||
\(807\) | −6.51209e6 | − | 3.13606e6i | −0.351995 | − | 0.169512i | ||||
\(808\) | −1.39131e6 | − | 6.09571e6i | −0.0749712 | − | 0.328470i | ||||
\(809\) | −2.45183e7 | + | 1.18074e7i | −1.31710 | + | 0.634283i | −0.954653 | − | 0.297721i | \(-0.903773\pi\) |
−0.362448 | + | 0.932004i | \(0.618059\pi\) | |||||||
\(810\) | −1.42192e7 | −0.761489 | ||||||||
\(811\) | 2.16733e7 | 1.15711 | 0.578553 | − | 0.815645i | \(-0.303618\pi\) | ||||
0.578553 | + | 0.815645i | \(0.303618\pi\) | |||||||
\(812\) | −3.62482e7 | + | 1.74562e7i | −1.92928 | + | 0.929094i | ||||
\(813\) | −1.68951e6 | + | 7.40223e6i | −0.0896468 | + | 0.392768i | ||||
\(814\) | −2.30444e7 | + | 2.88968e7i | −1.21900 | + | 1.52858i | ||||
\(815\) | 1.72338e7 | + | 2.16105e7i | 0.908841 | + | 1.13965i | ||||
\(816\) | −8.12044e6 | −0.426928 | ||||||||
\(817\) | −1.41846e7 | + | 2.06329e7i | −0.743468 | + | 1.08145i | ||||
\(818\) | −6.29296e6 | −0.328830 | ||||||||
\(819\) | 1.47848e7 | + | 1.85395e7i | 0.770203 | + | 0.965804i | ||||
\(820\) | −1.41297e6 | + | 1.77181e6i | −0.0733835 | + | 0.0920199i | ||||
\(821\) | 110362. | − | 483527.i | 0.00571427 | − | 0.0250359i | −0.971990 | − | 0.235021i | \(-0.924484\pi\) |
0.977705 | + | 0.209985i | \(0.0673414\pi\) | |||||||
\(822\) | −4.29548e6 | + | 2.06859e6i | −0.221734 | + | 0.106781i | ||||
\(823\) | 1.21831e7 | 0.626988 | 0.313494 | − | 0.949590i | \(-0.398500\pi\) | ||||
0.313494 | + | 0.949590i | \(0.398500\pi\) | |||||||
\(824\) | 2.63998e6 | 0.135451 | ||||||||
\(825\) | −145622. | + | 70127.9i | −0.00744891 | + | 0.00358720i | ||||
\(826\) | −7.63829e6 | − | 3.34655e7i | −0.389535 | − | 1.70666i | ||||
\(827\) | −870456. | − | 419189.i | −0.0442571 | − | 0.0213131i | 0.411624 | − | 0.911354i | \(-0.364962\pi\) |
−0.455881 | + | 0.890041i | \(0.650676\pi\) | |||||||
\(828\) | −4.57118e6 | − | 2.00276e7i | −0.231714 | − | 1.01521i | ||||
\(829\) | −9.58103e6 | − | 1.20142e7i | −0.484201 | − | 0.607169i | 0.478383 | − | 0.878151i | \(-0.341223\pi\) |
−0.962584 | + | 0.270982i | \(0.912652\pi\) | |||||||
\(830\) | 1.19348e6 | − | 574749.i | 0.0601339 | − | 0.0289590i | ||||
\(831\) | 7.60833e6 | + | 9.54055e6i | 0.382197 | + | 0.479260i | ||||
\(832\) | −2.71735e6 | + | 1.19055e7i | −0.136093 | + | 0.596264i | ||||
\(833\) | 1.89968e7 | + | 9.14836e6i | 0.948565 | + | 0.456805i | ||||
\(834\) | 6.60780e6 | + | 3.18215e6i | 0.328959 | + | 0.158418i | ||||
\(835\) | −1.81971e6 | + | 2.28184e6i | −0.0903202 | + | 0.113258i | ||||
\(836\) | 5.29865e6 | − | 2.32149e7i | 0.262210 | − | 1.14882i | ||||
\(837\) | −3.29548e6 | − | 1.44384e7i | −0.162594 | − | 0.712372i | ||||
\(838\) | −787689. | + | 987731.i | −0.0387476 | + | 0.0485880i | ||||
\(839\) | 4.30229e6 | − | 5.39490e6i | 0.211006 | − | 0.264593i | −0.665054 | − | 0.746795i | \(-0.731592\pi\) |
0.876060 | + | 0.482202i | \(0.160163\pi\) | |||||||
\(840\) | 621808. | + | 2.72432e6i | 0.0304059 | + | 0.133217i | ||||
\(841\) | −1.03224e7 | + | 4.52255e7i | −0.503260 | + | 2.20492i | ||||
\(842\) | −1.92178e7 | + | 2.40984e7i | −0.934165 | + | 1.17141i | ||||
\(843\) | 1.23808e7 | + | 5.96229e6i | 0.600040 | + | 0.288964i | ||||
\(844\) | −8.79148e6 | − | 4.23375e6i | −0.424821 | − | 0.204583i | ||||
\(845\) | −34823.7 | + | 152572.i | −0.00167777 | + | 0.00735079i | ||||
\(846\) | −1.40064e7 | − | 1.75634e7i | −0.672822 | − | 0.843692i | ||||
\(847\) | −5.57219e6 | + | 2.68343e6i | −0.266881 | + | 0.128523i | ||||
\(848\) | −1.22089e7 | − | 1.53094e7i | −0.583023 | − | 0.731088i | ||||
\(849\) | −1.19433e6 | − | 5.23269e6i | −0.0568662 | − | 0.249147i | ||||
\(850\) | 475056. | + | 228775.i | 0.0225526 | + | 0.0108608i | ||||
\(851\) | 9.30907e6 | + | 4.07857e7i | 0.440638 | + | 1.93056i | ||||
\(852\) | −3.70698e6 | + | 1.78519e6i | −0.174953 | + | 0.0842528i | ||||
\(853\) | 4.80736e6 | 0.226222 | 0.113111 | − | 0.993582i | \(-0.463918\pi\) | ||||
0.113111 | + | 0.993582i | \(0.463918\pi\) | |||||||
\(854\) | 3.65439e7 | 1.71463 | ||||||||
\(855\) | −2.12532e7 | + | 1.02350e7i | −0.994281 | + | 0.478821i | ||||
\(856\) | −1.17186e6 | + | 5.13427e6i | −0.0546629 | + | 0.239494i | ||||
\(857\) | −1.71001e7 | + | 2.14428e7i | −0.795327 | + | 0.997309i | 0.204503 | + | 0.978866i | \(0.434442\pi\) |
−0.999830 | + | 0.0184426i | \(0.994129\pi\) | |||||||
\(858\) | −7.75570e6 | − | 9.72534e6i | −0.359669 | − | 0.451011i | ||||
\(859\) | 2.87842e7 | 1.33098 | 0.665489 | − | 0.746408i | \(-0.268223\pi\) | ||||
0.665489 | + | 0.746408i | \(0.268223\pi\) | |||||||
\(860\) | −2.68630e6 | + | 1.73660e7i | −0.123853 | + | 0.800670i | ||||
\(861\) | 1.77844e6 | 0.0817583 | ||||||||
\(862\) | 1.52618e7 | + | 1.91377e7i | 0.699580 | + | 0.877245i | ||||
\(863\) | 1.38821e7 | − | 1.74076e7i | 0.634495 | − | 0.795631i | −0.355808 | − | 0.934559i | \(-0.615794\pi\) |
0.990302 | + | 0.138928i | \(0.0443657\pi\) | |||||||
\(864\) | −4.57167e6 | + | 2.00298e7i | −0.208348 | + | 0.912834i | ||||
\(865\) | 1.04097e7 | − | 5.01305e6i | 0.473040 | − | 0.227804i | ||||
\(866\) | −7.81331e6 | −0.354030 | ||||||||
\(867\) | 723855. | 0.0327042 | ||||||||
\(868\) | −2.41273e7 | + | 1.16191e7i | −1.08695 | + | 0.523447i | ||||
\(869\) | −2.76285e6 | − | 1.21048e7i | −0.124110 | − | 0.543762i | ||||
\(870\) | −1.88370e7 | − | 9.07144e6i | −0.843751 | − | 0.406329i | ||||
\(871\) | −827791. | − | 3.62679e6i | −0.0369722 | − | 0.161986i | ||||
\(872\) | −1.49573e6 | − | 1.87559e6i | −0.0666136 | − | 0.0835308i | ||||
\(873\) | −1.85504e7 | + | 8.93338e6i | −0.823790 | + | 0.396716i | ||||
\(874\) | −3.73434e7 | − | 4.68272e7i | −1.65362 | − | 2.07357i | ||||
\(875\) | 7.37239e6 | − | 3.23006e7i | 0.325528 | − | 1.42623i | ||||
\(876\) | 3.81280e6 | + | 1.83615e6i | 0.167874 | + | 0.0808439i | ||||
\(877\) | 2.39026e7 | + | 1.15109e7i | 1.04941 | + | 0.505371i | 0.877418 | − | 0.479727i | \(-0.159264\pi\) |
0.171996 | + | 0.985098i | \(0.444978\pi\) | |||||||
\(878\) | −1.23137e7 | + | 1.54408e7i | −0.539077 | + | 0.675981i | ||||
\(879\) | 959369. | − | 4.20327e6i | 0.0418806 | − | 0.183491i | ||||
\(880\) | 6.38178e6 | + | 2.79604e7i | 0.277802 | + | 1.21713i | ||||
\(881\) | 605685. | − | 759505.i | 0.0262910 | − | 0.0329678i | −0.768512 | − | 0.639835i | \(-0.779003\pi\) |
0.794803 | + | 0.606867i | \(0.207574\pi\) | |||||||
\(882\) | 1.81459e7 | − | 2.27543e7i | 0.785431 | − | 0.984899i | ||||
\(883\) | −8.17461e6 | − | 3.58153e7i | −0.352830 | − | 1.54585i | −0.770614 | − | 0.637302i | \(-0.780050\pi\) |
0.417784 | − | 0.908546i | \(-0.362807\pi\) | |||||||
\(884\) | −4.06338e6 | + | 1.78028e7i | −0.174887 | + | 0.766229i | ||||
\(885\) | 5.00483e6 | − | 6.27585e6i | 0.214798 | − | 0.269349i | ||||
\(886\) | −2.68319e7 | − | 1.29216e7i | −1.14833 | − | 0.553007i | ||||
\(887\) | 5.46606e6 | + | 2.63232e6i | 0.233274 | + | 0.112339i | 0.546869 | − | 0.837218i | \(-0.315819\pi\) |
−0.313596 | + | 0.949557i | \(0.601534\pi\) | |||||||
\(888\) | 657795. | − | 2.88199e6i | 0.0279935 | − | 0.122648i | ||||
\(889\) | 1.14537e7 | + | 1.43625e7i | 0.486062 | + | 0.609502i | ||||
\(890\) | 4.11085e7 | − | 1.97968e7i | 1.73963 | − | 0.837762i | ||||
\(891\) | 9.24719e6 | + | 1.15956e7i | 0.390225 | + | 0.489327i | ||||
\(892\) | −1.76720e6 | − | 7.74260e6i | −0.0743658 | − | 0.325818i | ||||
\(893\) | −2.65547e7 | − | 1.27881e7i | −1.11433 | − | 0.536632i | ||||
\(894\) | −2.09773e6 | − | 9.19075e6i | −0.0877820 | − | 0.384598i | ||||
\(895\) | −5.60565e6 | + | 2.69954e6i | −0.233921 | + | 0.112650i | ||||
\(896\) | −1.67949e7 | −0.698887 | ||||||||
\(897\) | −1.40796e7 | −0.584264 | ||||||||
\(898\) | 1.61666e7 | − | 7.78541e6i | 0.669001 | − | 0.322174i | ||||
\(899\) | −9.90871e6 | + | 4.34129e7i | −0.408901 | + | 1.79151i | ||||
\(900\) | 204198. | − | 256057.i | 0.00840323 | − | 0.0105373i | ||||
\(901\) | −1.18348e7 | − | 1.48404e7i | −0.485680 | − | 0.609024i | ||||
\(902\) | 5.25290e6 | 0.214972 | ||||||||
\(903\) | 1.19693e7 | − | 6.84882e6i | 0.488482 | − | 0.279509i | ||||
\(904\) | 6.13186e6 | 0.249558 | ||||||||
\(905\) | −2.22435e7 | − | 2.78925e7i | −0.902781 | − | 1.13205i | ||||
\(906\) | −1.34326e7 | + | 1.68439e7i | −0.543674 | + | 0.681746i | ||||
\(907\) | 7.49269e6 | − | 3.28276e7i | 0.302426 | − | 1.32502i | −0.564026 | − | 0.825757i | \(-0.690748\pi\) |
0.866453 | − | 0.499259i | \(-0.166394\pi\) | |||||||
\(908\) | −3.73307e6 | + | 1.79775e6i | −0.150263 | + | 0.0723628i | ||||
\(909\) | −2.90700e7 | −1.16691 | ||||||||
\(910\) | 4.85223e7 | 1.94239 | ||||||||
\(911\) | 5.71932e6 | − | 2.75428e6i | 0.228322 | − | 0.109954i | −0.316225 | − | 0.948684i | \(-0.602416\pi\) |
0.544548 | + | 0.838730i | \(0.316701\pi\) | |||||||
\(912\) | 3.27240e6 | + | 1.43373e7i | 0.130281 | + | 0.570796i | ||||
\(913\) | −1.24486e6 | − | 599491.i | −0.0494245 | − | 0.0238016i | ||||
\(914\) | −1.04563e7 | − | 4.58118e7i | −0.414010 | − | 1.81389i | ||||
\(915\) | 5.32818e6 | + | 6.68132e6i | 0.210390 | + | 0.263821i | ||||
\(916\) | 1.63353e7 | − | 7.86666e6i | 0.643262 | − | 0.309779i | ||||
\(917\) | 3.54165e6 | + | 4.44109e6i | 0.139086 | + | 0.174408i | ||||
\(918\) | −5.26497e6 | + | 2.30673e7i | −0.206200 | + | 0.903422i | ||||
\(919\) | 3.60979e7 | + | 1.73838e7i | 1.40992 | + | 0.678979i | 0.975146 | − | 0.221562i | \(-0.0711157\pi\) |
0.434769 | + | 0.900542i | \(0.356830\pi\) | |||||||
\(920\) | 8.41691e6 | + | 4.05337e6i | 0.327856 | + | 0.157887i | ||||
\(921\) | 1.13746e7 | − | 1.42633e7i | 0.441861 | − | 0.554076i | ||||
\(922\) | 1.00049e6 | − | 4.38345e6i | 0.0387603 | − | 0.169820i | ||||
\(923\) | −3.53319e6 | − | 1.54799e7i | −0.136510 | − | 0.598087i | ||||
\(924\) | −8.17689e6 | + | 1.02535e7i | −0.315071 | + | 0.395086i | ||||
\(925\) | −415844. | + | 521452.i | −0.0159800 | + | 0.0200383i | ||||
\(926\) | 6.04981e6 | + | 2.65059e7i | 0.231854 | + | 1.01582i | ||||
\(927\) | 2.73127e6 | − | 1.19665e7i | 0.104392 | − | 0.457370i | ||||
\(928\) | 3.85151e7 | − | 4.82965e7i | 1.46812 | − | 1.84096i | ||||
\(929\) | 2.98552e7 | + | 1.43775e7i | 1.13496 | + | 0.546569i | 0.904483 | − | 0.426509i | \(-0.140257\pi\) |
0.230478 | + | 0.973078i | \(0.425971\pi\) | |||||||
\(930\) | −1.25382e7 | − | 6.03807e6i | −0.475365 | − | 0.228924i | ||||
\(931\) | 8.49682e6 | − | 3.72270e7i | 0.321279 | − | 1.40762i | ||||
\(932\) | −899510. | − | 1.12795e6i | −0.0339208 | − | 0.0425353i | ||||
\(933\) | −1.66451e7 | + | 8.01586e6i | −0.626012 | + | 0.301471i | ||||
\(934\) | 1.63173e7 | + | 2.04613e7i | 0.612042 | + | 0.767477i | ||||
\(935\) | 6.18627e6 | + | 2.71038e7i | 0.231419 | + | 1.01391i | ||||
\(936\) | −5.04705e6 | − | 2.43053e6i | −0.188299 | − | 0.0906800i | ||||
\(937\) | −8.58805e6 | − | 3.76267e7i | −0.319555 | − | 1.40006i | −0.838336 | − | 0.545154i | \(-0.816471\pi\) |
0.518781 | − | 0.854907i | \(-0.326386\pi\) | |||||||
\(938\) | −7.85269e6 | + | 3.78166e6i | −0.291415 | + | 0.140338i | ||||
\(939\) | 1.83395e6 | 0.0678771 | ||||||||
\(940\) | −2.06852e7 | −0.763555 | ||||||||
\(941\) | 2.34904e7 | − | 1.13124e7i | 0.864802 | − | 0.416467i | 0.0517519 | − | 0.998660i | \(-0.483520\pi\) |
0.813051 | + | 0.582193i | \(0.197805\pi\) | |||||||
\(942\) | 3.93232e6 | − | 1.72286e7i | 0.144385 | − | 0.632591i | ||||
\(943\) | 3.70704e6 | − | 4.64848e6i | 0.135752 | − | 0.170228i | ||||
\(944\) | 1.75680e7 | + | 2.20296e7i | 0.641643 | + | 0.804595i | ||||
\(945\) | 2.82916e7 | 1.03057 | ||||||||
\(946\) | 3.53531e7 | − | 2.02290e7i | 1.28440 | − | 0.734932i | ||||
\(947\) | −2.91687e7 | −1.05692 | −0.528461 | − | 0.848958i | \(-0.677231\pi\) | ||||
−0.528461 | + | 0.848958i | \(0.677231\pi\) | |||||||
\(948\) | −2.78591e6 | − | 3.49343e6i | −0.100681 | − | 0.126250i | ||||
\(949\) | −1.01824e7 | + | 1.27683e7i | −0.367015 | + | 0.460223i | ||||
\(950\) | 212482. | − | 930943.i | 0.00763858 | − | 0.0334668i | ||||
\(951\) | −5.76191e6 | + | 2.77479e6i | −0.206593 | + | 0.0994899i | ||||
\(952\) | −9.50837e6 | −0.340027 | ||||||||
\(953\) | −3.68565e7 | −1.31457 | −0.657283 | − | 0.753644i | \(-0.728294\pi\) | ||||
−0.657283 | + | 0.753644i | \(0.728294\pi\) | |||||||
\(954\) | −2.36060e7 | + | 1.13681e7i | −0.839754 | + | 0.404404i | ||||
\(955\) | 1.15314e7 | + | 5.05225e7i | 0.409142 | + | 1.79257i | ||||
\(956\) | −3.09620e7 | − | 1.49105e7i | −1.09568 | − | 0.527653i | ||||
\(957\) | 4.85263e6 | + | 2.12608e7i | 0.171276 | + | 0.750411i | ||||
\(958\) | 4.57812e7 | + | 5.74078e7i | 1.61166 | + | 2.02096i | ||||
\(959\) | −1.74769e7 | + | 8.41644e6i | −0.613646 | + | 0.295516i | ||||
\(960\) | 4.17154e6 | + | 5.23095e6i | 0.146089 | + | 0.183190i | ||||
\(961\) | −224786. | + | 984851.i | −0.00785164 | + | 0.0344003i | ||||
\(962\) | −4.62472e7 | − | 2.22715e7i | −1.61119 | − | 0.775909i | ||||
\(963\) | 2.20602e7 | + | 1.06236e7i | 0.766556 | + | 0.369154i | ||||
\(964\) | 9.53167e6 | − | 1.19523e7i | 0.330352 | − | 0.414248i | ||||
\(965\) | 66412.9 | − | 290974.i | 0.00229580 | − | 0.0100586i | ||||
\(966\) | 7.34040e6 | + | 3.21604e7i | 0.253091 | + | 1.10886i | ||||
\(967\) | −825764. | + | 1.03548e6i | −0.0283981 | + | 0.0356101i | −0.795828 | − | 0.605523i | \(-0.792964\pi\) |
0.767430 | + | 0.641133i | \(0.221535\pi\) | |||||||
\(968\) | 910935. | − | 1.14228e6i | 0.0312463 | − | 0.0391817i | ||||
\(969\) | 3.17215e6 | + | 1.38981e7i | 0.108528 | + | 0.475494i | ||||
\(970\) | −9.37494e6 | + | 4.10743e7i | −0.319918 | + | 1.40165i | ||||
\(971\) | 3.26194e6 | − | 4.09034e6i | 0.111027 | − | 0.139223i | −0.723213 | − | 0.690625i | \(-0.757336\pi\) |
0.834240 | + | 0.551402i | \(0.185907\pi\) | |||||||
\(972\) | 2.04016e7 | + | 9.82488e6i | 0.692625 | + | 0.333551i | ||||
\(973\) | 2.68850e7 | + | 1.29471e7i | 0.910391 | + | 0.438421i | ||||
\(974\) | −2.21385e6 | + | 9.69952e6i | −0.0747741 | + | 0.327607i | ||||
\(975\) | −139954. | − | 175497.i | −0.00471492 | − | 0.00591232i | ||||
\(976\) | −2.70267e7 | + | 1.30154e7i | −0.908173 | + | 0.437353i | ||||
\(977\) | 4.18300e6 | + | 5.24531e6i | 0.140201 | + | 0.175806i | 0.846975 | − | 0.531633i | \(-0.178422\pi\) |
−0.706774 | + | 0.707440i | \(0.749850\pi\) | |||||||
\(978\) | −5.13064e6 | − | 2.24788e7i | −0.171524 | − | 0.751495i | ||||
\(979\) | −4.28781e7 | − | 2.06490e7i | −1.42981 | − | 0.688562i | ||||
\(980\) | −5.96327e6 | − | 2.61268e7i | −0.198344 | − | 0.869002i | ||||
\(981\) | −1.00491e7 | + | 4.83940e6i | −0.333392 | + | 0.160553i | ||||
\(982\) | 2.48423e7 | 0.822078 | ||||||||
\(983\) | 4.04753e7 | 1.33600 | 0.668000 | − | 0.744161i | \(-0.267151\pi\) | ||||
0.668000 | + | 0.744161i | \(0.267151\pi\) | |||||||
\(984\) | −378522. | + | 182287.i | −0.0124625 | + | 0.00600161i | ||||
\(985\) | −3.71472e6 | + | 1.62753e7i | −0.121993 | + | 0.534488i | ||||
\(986\) | 4.43561e7 | − | 5.56207e7i | 1.45298 | − | 1.82198i | ||||
\(987\) | 1.01211e7 | + | 1.26914e7i | 0.330699 | + | 0.414683i | ||||
\(988\) | 3.30699e7 | 1.07781 | ||||||||
\(989\) | 7.04771e6 | − | 4.55611e7i | 0.229117 | − | 1.48116i | ||||
\(990\) | 3.83741e7 | 1.24437 | ||||||||
\(991\) | −3.51542e7 | − | 4.40819e7i | −1.13708 | − | 1.42586i | −0.889466 | − | 0.457001i | \(-0.848923\pi\) |
−0.247619 | − | 0.968858i | \(-0.579648\pi\) | |||||||
\(992\) | 2.56362e7 | − | 3.21468e7i | 0.827131 | − | 1.03719i | ||||
\(993\) | 2.10237e6 | − | 9.21108e6i | 0.0676606 | − | 0.296440i | ||||
\(994\) | −3.35170e7 | + | 1.61409e7i | −1.07597 | + | 0.518158i | ||||
\(995\) | −3.23199e7 | −1.03493 | ||||||||
\(996\) | −497235. | −0.0158823 | ||||||||
\(997\) | 4.61847e7 | − | 2.22414e7i | 1.47150 | − | 0.708638i | 0.485325 | − | 0.874334i | \(-0.338701\pi\) |
0.986177 | + | 0.165696i | \(0.0529872\pi\) | |||||||
\(998\) | 5.12985e6 | + | 2.24754e7i | 0.163034 | + | 0.714299i | ||||
\(999\) | −2.69651e7 | − | 1.29857e7i | −0.854845 | − | 0.411672i |
(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.e.a.11.5 | yes | 108 | |
43.4 | even | 7 | inner | 43.6.e.a.4.5 | ✓ | 108 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
43.6.e.a.4.5 | ✓ | 108 | 43.4 | even | 7 | inner | |
43.6.e.a.11.5 | yes | 108 | 1.1 | even | 1 | trivial |