Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [276,3,Mod(139,276)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(276, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 0, 0]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("276.139");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 276 = 2^{2} \cdot 3 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 276.f (of order \(2\), degree \(1\), 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: | \(7.52045529634\) |
Analytic rank: | \(0\) |
Dimension: | \(40\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 139.14 | ||
Character | \(\chi\) | \(=\) | 276.139 |
Dual form | 276.3.f.b.139.13 |
$q$-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 \(\left(\mathbb{Z}/276\mathbb{Z}\right)^\times\).
\(n\) | \(97\) | \(139\) | \(185\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.678740 | + | 1.88131i | −0.339370 | + | 0.940653i | ||||
\(3\) | 1.73205i | 0.577350i | ||||||||
\(4\) | −3.07862 | − | 2.55384i | −0.769656 | − | 0.638459i | ||||
\(5\) | 4.99031 | 0.998062 | 0.499031 | − | 0.866584i | \(-0.333689\pi\) | ||||
0.499031 | + | 0.866584i | \(0.333689\pi\) | |||||||
\(6\) | −3.25852 | − | 1.17561i | −0.543086 | − | 0.195935i | ||||
\(7\) | − | 2.08864i | − | 0.298377i | −0.988809 | − | 0.149188i | \(-0.952334\pi\) | ||
0.988809 | − | 0.149188i | \(-0.0476661\pi\) | |||||||
\(8\) | 6.89413 | − | 4.05844i | 0.861767 | − | 0.507305i | ||||
\(9\) | −3.00000 | −0.333333 | ||||||||
\(10\) | −3.38713 | + | 9.38830i | −0.338713 | + | 0.938830i | ||||
\(11\) | 19.2563i | 1.75057i | 0.483606 | + | 0.875286i | \(0.339327\pi\) | ||||
−0.483606 | + | 0.875286i | \(0.660673\pi\) | |||||||
\(12\) | 4.42337 | − | 5.33233i | 0.368614 | − | 0.444361i | ||||
\(13\) | −0.674821 | −0.0519093 | −0.0259547 | − | 0.999663i | \(-0.508263\pi\) | ||||
−0.0259547 | + | 0.999663i | \(0.508263\pi\) | |||||||
\(14\) | 3.92937 | + | 1.41764i | 0.280669 | + | 0.101260i | ||||
\(15\) | 8.64347i | 0.576232i | ||||||||
\(16\) | 2.95584 | + | 15.7246i | 0.184740 | + | 0.982787i | ||||
\(17\) | 14.9945 | 0.882032 | 0.441016 | − | 0.897499i | \(-0.354618\pi\) | ||||
0.441016 | + | 0.897499i | \(0.354618\pi\) | |||||||
\(18\) | 2.03622 | − | 5.64392i | 0.113123 | − | 0.313551i | ||||
\(19\) | 26.4472i | 1.39196i | 0.718063 | + | 0.695978i | \(0.245029\pi\) | ||||
−0.718063 | + | 0.695978i | \(0.754971\pi\) | |||||||
\(20\) | −15.3633 | − | 12.7444i | −0.768165 | − | 0.637222i | ||||
\(21\) | 3.61763 | 0.172268 | ||||||||
\(22\) | −36.2270 | − | 13.0700i | −1.64668 | − | 0.594092i | ||||
\(23\) | 4.79583i | 0.208514i | ||||||||
\(24\) | 7.02943 | + | 11.9410i | 0.292893 | + | 0.497541i | ||||
\(25\) | −0.0967887 | −0.00387155 | ||||||||
\(26\) | 0.458028 | − | 1.26954i | 0.0176165 | − | 0.0488286i | ||||
\(27\) | − | 5.19615i | − | 0.192450i | ||||||
\(28\) | −5.33404 | + | 6.43013i | −0.190501 | + | 0.229647i | ||||
\(29\) | −17.9282 | −0.618214 | −0.309107 | − | 0.951027i | \(-0.600030\pi\) | ||||
−0.309107 | + | 0.951027i | \(0.600030\pi\) | |||||||
\(30\) | −16.2610 | − | 5.86667i | −0.542034 | − | 0.195556i | ||||
\(31\) | − | 5.50459i | − | 0.177567i | −0.996051 | − | 0.0887837i | \(-0.971702\pi\) | ||
0.996051 | − | 0.0887837i | \(-0.0282980\pi\) | |||||||
\(32\) | −31.5890 | − | 5.11207i | −0.987157 | − | 0.159752i | ||||
\(33\) | −33.3529 | −1.01069 | ||||||||
\(34\) | −10.1774 | + | 28.2093i | −0.299335 | + | 0.829686i | ||||
\(35\) | − | 10.4230i | − | 0.297799i | ||||||
\(36\) | 9.23587 | + | 7.66151i | 0.256552 | + | 0.212820i | ||||
\(37\) | −8.99597 | −0.243134 | −0.121567 | − | 0.992583i | \(-0.538792\pi\) | ||||
−0.121567 | + | 0.992583i | \(0.538792\pi\) | |||||||
\(38\) | −49.7552 | − | 17.9508i | −1.30935 | − | 0.472388i | ||||
\(39\) | − | 1.16882i | − | 0.0299699i | ||||||
\(40\) | 34.4039 | − | 20.2529i | 0.860097 | − | 0.506322i | ||||
\(41\) | 9.20603 | 0.224537 | 0.112269 | − | 0.993678i | \(-0.464188\pi\) | ||||
0.112269 | + | 0.993678i | \(0.464188\pi\) | |||||||
\(42\) | −2.45543 | + | 6.80586i | −0.0584626 | + | 0.162044i | ||||
\(43\) | 67.6848i | 1.57407i | 0.616911 | + | 0.787033i | \(0.288384\pi\) | ||||
−0.616911 | + | 0.787033i | \(0.711616\pi\) | |||||||
\(44\) | 49.1774 | − | 59.2829i | 1.11767 | − | 1.34734i | ||||
\(45\) | −14.9709 | −0.332687 | ||||||||
\(46\) | −9.02243 | − | 3.25512i | −0.196140 | − | 0.0707636i | ||||
\(47\) | − | 77.8580i | − | 1.65655i | −0.560319 | − | 0.828277i | \(-0.689322\pi\) | ||
0.560319 | − | 0.828277i | \(-0.310678\pi\) | |||||||
\(48\) | −27.2358 | + | 5.11967i | −0.567413 | + | 0.106660i | ||||
\(49\) | 44.6376 | 0.910971 | ||||||||
\(50\) | 0.0656944 | − | 0.182089i | 0.00131389 | − | 0.00364178i | ||||
\(51\) | 25.9713i | 0.509242i | ||||||||
\(52\) | 2.07752 | + | 1.72338i | 0.0399523 | + | 0.0331420i | ||||
\(53\) | −10.3701 | −0.195663 | −0.0978314 | − | 0.995203i | \(-0.531191\pi\) | ||||
−0.0978314 | + | 0.995203i | \(0.531191\pi\) | |||||||
\(54\) | 9.77555 | + | 3.52684i | 0.181029 | + | 0.0653118i | ||||
\(55\) | 96.0949i | 1.74718i | ||||||||
\(56\) | −8.47661 | − | 14.3993i | −0.151368 | − | 0.257131i | ||||
\(57\) | −45.8078 | −0.803646 | ||||||||
\(58\) | 12.1686 | − | 33.7284i | 0.209803 | − | 0.581525i | ||||
\(59\) | 13.2518i | 0.224606i | 0.993674 | + | 0.112303i | \(0.0358228\pi\) | ||||
−0.993674 | + | 0.112303i | \(0.964177\pi\) | |||||||
\(60\) | 22.0740 | − | 26.6100i | 0.367900 | − | 0.443500i | ||||
\(61\) | −17.0970 | −0.280278 | −0.140139 | − | 0.990132i | \(-0.544755\pi\) | ||||
−0.140139 | + | 0.990132i | \(0.544755\pi\) | |||||||
\(62\) | 10.3558 | + | 3.73619i | 0.167029 | + | 0.0602611i | ||||
\(63\) | 6.26591i | 0.0994589i | ||||||||
\(64\) | 31.0581 | − | 55.9589i | 0.485283 | − | 0.874357i | ||||
\(65\) | −3.36757 | −0.0518087 | ||||||||
\(66\) | 22.6379 | − | 62.7470i | 0.342999 | − | 0.950712i | ||||
\(67\) | 39.0544i | 0.582901i | 0.956586 | + | 0.291451i | \(0.0941379\pi\) | ||||
−0.956586 | + | 0.291451i | \(0.905862\pi\) | |||||||
\(68\) | −46.1626 | − | 38.2936i | −0.678861 | − | 0.563141i | ||||
\(69\) | −8.30662 | −0.120386 | ||||||||
\(70\) | 19.6088 | + | 7.07448i | 0.280125 | + | 0.101064i | ||||
\(71\) | − | 42.7770i | − | 0.602493i | −0.953546 | − | 0.301247i | \(-0.902597\pi\) | ||
0.953546 | − | 0.301247i | \(-0.0974027\pi\) | |||||||
\(72\) | −20.6824 | + | 12.1753i | −0.287256 | + | 0.169102i | ||||
\(73\) | 98.4117 | 1.34811 | 0.674053 | − | 0.738683i | \(-0.264552\pi\) | ||||
0.674053 | + | 0.738683i | \(0.264552\pi\) | |||||||
\(74\) | 6.10593 | − | 16.9242i | 0.0825125 | − | 0.228705i | ||||
\(75\) | − | 0.167643i | − | 0.00223524i | ||||||
\(76\) | 67.5417 | − | 81.4209i | 0.888707 | − | 1.07133i | ||||
\(77\) | 40.2194 | 0.522330 | ||||||||
\(78\) | 2.19892 | + | 0.793328i | 0.0281912 | + | 0.0101709i | ||||
\(79\) | 34.1723i | 0.432561i | 0.976331 | + | 0.216281i | \(0.0693926\pi\) | ||||
−0.976331 | + | 0.216281i | \(0.930607\pi\) | |||||||
\(80\) | 14.7506 | + | 78.4706i | 0.184382 | + | 0.980883i | ||||
\(81\) | 9.00000 | 0.111111 | ||||||||
\(82\) | −6.24850 | + | 17.3194i | −0.0762012 | + | 0.211212i | ||||
\(83\) | 91.0011i | 1.09640i | 0.836348 | + | 0.548199i | \(0.184686\pi\) | ||||
−0.836348 | + | 0.548199i | \(0.815314\pi\) | |||||||
\(84\) | −11.1373 | − | 9.23882i | −0.132587 | − | 0.109986i | ||||
\(85\) | 74.8275 | 0.880323 | ||||||||
\(86\) | −127.336 | − | 45.9404i | −1.48065 | − | 0.534191i | ||||
\(87\) | − | 31.0526i | − | 0.356926i | ||||||
\(88\) | 78.1505 | + | 132.755i | 0.888074 | + | 1.50858i | ||||
\(89\) | 111.186 | 1.24928 | 0.624641 | − | 0.780912i | \(-0.285245\pi\) | ||||
0.624641 | + | 0.780912i | \(0.285245\pi\) | |||||||
\(90\) | 10.1614 | − | 28.1649i | 0.112904 | − | 0.312943i | ||||
\(91\) | 1.40946i | 0.0154885i | ||||||||
\(92\) | 12.2478 | − | 14.7646i | 0.133128 | − | 0.160484i | ||||
\(93\) | 9.53423 | 0.102519 | ||||||||
\(94\) | 146.475 | + | 52.8454i | 1.55824 | + | 0.562185i | ||||
\(95\) | 131.980i | 1.38926i | ||||||||
\(96\) | 8.85437 | − | 54.7138i | 0.0922330 | − | 0.569935i | ||||
\(97\) | 16.5643 | 0.170766 | 0.0853828 | − | 0.996348i | \(-0.472789\pi\) | ||||
0.0853828 | + | 0.996348i | \(0.472789\pi\) | |||||||
\(98\) | −30.2973 | + | 83.9770i | −0.309156 | + | 0.856908i | ||||
\(99\) | − | 57.7689i | − | 0.583524i | ||||||
\(100\) | 0.297976 | + | 0.247182i | 0.00297976 | + | 0.00247182i | ||||
\(101\) | 134.649 | 1.33316 | 0.666582 | − | 0.745432i | \(-0.267757\pi\) | ||||
0.666582 | + | 0.745432i | \(0.267757\pi\) | |||||||
\(102\) | −48.8600 | − | 17.6278i | −0.479020 | − | 0.172821i | ||||
\(103\) | − | 125.591i | − | 1.21933i | −0.792658 | − | 0.609666i | \(-0.791304\pi\) | ||
0.792658 | − | 0.609666i | \(-0.208696\pi\) | |||||||
\(104\) | −4.65231 | + | 2.73872i | −0.0447337 | + | 0.0263339i | ||||
\(105\) | 18.0531 | 0.171934 | ||||||||
\(106\) | 7.03863 | − | 19.5094i | 0.0664021 | − | 0.184051i | ||||
\(107\) | − | 188.450i | − | 1.76122i | −0.473844 | − | 0.880609i | \(-0.657134\pi\) | ||
0.473844 | − | 0.880609i | \(-0.342866\pi\) | |||||||
\(108\) | −13.2701 | + | 15.9970i | −0.122871 | + | 0.148120i | ||||
\(109\) | −182.041 | −1.67011 | −0.835053 | − | 0.550170i | \(-0.814563\pi\) | ||||
−0.835053 | + | 0.550170i | \(0.814563\pi\) | |||||||
\(110\) | −180.784 | − | 65.2235i | −1.64349 | − | 0.592941i | ||||
\(111\) | − | 15.5815i | − | 0.140374i | ||||||
\(112\) | 32.8430 | − | 6.17369i | 0.293241 | − | 0.0551222i | ||||
\(113\) | 151.109 | 1.33725 | 0.668624 | − | 0.743601i | \(-0.266884\pi\) | ||||
0.668624 | + | 0.743601i | \(0.266884\pi\) | |||||||
\(114\) | 31.0916 | − | 86.1786i | 0.272734 | − | 0.755952i | ||||
\(115\) | 23.9327i | 0.208110i | ||||||||
\(116\) | 55.1942 | + | 45.7857i | 0.475812 | + | 0.394704i | ||||
\(117\) | 2.02446 | 0.0173031 | ||||||||
\(118\) | −24.9307 | − | 8.99452i | −0.211277 | − | 0.0762247i | ||||
\(119\) | − | 31.3182i | − | 0.263178i | ||||||
\(120\) | 35.0790 | + | 59.5892i | 0.292325 | + | 0.496577i | ||||
\(121\) | −249.805 | −2.06450 | ||||||||
\(122\) | 11.6044 | − | 32.1646i | 0.0951180 | − | 0.263644i | ||||
\(123\) | 15.9453i | 0.129637i | ||||||||
\(124\) | −14.0578 | + | 16.9466i | −0.113370 | + | 0.136666i | ||||
\(125\) | −125.241 | −1.00193 | ||||||||
\(126\) | −11.7881 | − | 4.25293i | −0.0935563 | − | 0.0337534i | ||||
\(127\) | − | 1.94353i | − | 0.0153034i | −0.999971 | − | 0.00765168i | \(-0.997564\pi\) | ||
0.999971 | − | 0.00765168i | \(-0.00243563\pi\) | |||||||
\(128\) | 84.1953 | + | 96.4113i | 0.657776 | + | 0.753214i | ||||
\(129\) | −117.234 | −0.908787 | ||||||||
\(130\) | 2.28570 | − | 6.33542i | 0.0175823 | − | 0.0487340i | ||||
\(131\) | − | 158.447i | − | 1.20952i | −0.796407 | − | 0.604761i | \(-0.793269\pi\) | ||
0.796407 | − | 0.604761i | \(-0.206731\pi\) | |||||||
\(132\) | 102.681 | + | 85.1778i | 0.777886 | + | 0.645286i | ||||
\(133\) | 55.2386 | 0.415327 | ||||||||
\(134\) | −73.4733 | − | 26.5078i | −0.548308 | − | 0.197819i | ||||
\(135\) | − | 25.9304i | − | 0.192077i | ||||||
\(136\) | 103.374 | − | 60.8545i | 0.760106 | − | 0.447459i | ||||
\(137\) | 40.2417 | 0.293735 | 0.146868 | − | 0.989156i | \(-0.453081\pi\) | ||||
0.146868 | + | 0.989156i | \(0.453081\pi\) | |||||||
\(138\) | 5.63804 | − | 15.6273i | 0.0408554 | − | 0.113241i | ||||
\(139\) | − | 191.528i | − | 1.37790i | −0.724808 | − | 0.688951i | \(-0.758071\pi\) | ||
0.724808 | − | 0.688951i | \(-0.241929\pi\) | |||||||
\(140\) | −26.6185 | + | 32.0883i | −0.190132 | + | 0.229202i | ||||
\(141\) | 134.854 | 0.956411 | ||||||||
\(142\) | 80.4766 | + | 29.0345i | 0.566737 | + | 0.204468i | ||||
\(143\) | − | 12.9946i | − | 0.0908710i | ||||||
\(144\) | −8.86753 | − | 47.1738i | −0.0615801 | − | 0.327596i | ||||
\(145\) | −89.4674 | −0.617016 | ||||||||
\(146\) | −66.7960 | + | 185.143i | −0.457507 | + | 1.26810i | ||||
\(147\) | 77.3146i | 0.525950i | ||||||||
\(148\) | 27.6952 | + | 22.9742i | 0.187130 | + | 0.155231i | ||||
\(149\) | 79.4490 | 0.533215 | 0.266607 | − | 0.963805i | \(-0.414097\pi\) | ||||
0.266607 | + | 0.963805i | \(0.414097\pi\) | |||||||
\(150\) | 0.315388 | + | 0.113786i | 0.00210258 | + | 0.000758573i | ||||
\(151\) | − | 121.347i | − | 0.803619i | −0.915723 | − | 0.401810i | \(-0.868381\pi\) | ||
0.915723 | − | 0.401810i | \(-0.131619\pi\) | |||||||
\(152\) | 107.334 | + | 182.330i | 0.706147 | + | 1.19954i | ||||
\(153\) | −44.9836 | −0.294011 | ||||||||
\(154\) | −27.2985 | + | 75.6650i | −0.177263 | + | 0.491331i | ||||
\(155\) | − | 27.4696i | − | 0.177223i | ||||||
\(156\) | −2.98499 | + | 3.59837i | −0.0191345 | + | 0.0230665i | ||||
\(157\) | 279.014 | 1.77716 | 0.888579 | − | 0.458723i | \(-0.151693\pi\) | ||||
0.888579 | + | 0.458723i | \(0.151693\pi\) | |||||||
\(158\) | −64.2886 | − | 23.1941i | −0.406890 | − | 0.146798i | ||||
\(159\) | − | 17.9616i | − | 0.112966i | ||||||
\(160\) | −157.639 | − | 25.5108i | −0.985244 | − | 0.159443i | ||||
\(161\) | 10.0168 | 0.0622159 | ||||||||
\(162\) | −6.10866 | + | 16.9318i | −0.0377078 | + | 0.104517i | ||||
\(163\) | 122.226i | 0.749851i | 0.927055 | + | 0.374926i | \(0.122332\pi\) | ||||
−0.927055 | + | 0.374926i | \(0.877668\pi\) | |||||||
\(164\) | −28.3419 | − | 23.5107i | −0.172816 | − | 0.143358i | ||||
\(165\) | −166.441 | −1.00873 | ||||||||
\(166\) | −171.201 | − | 61.7661i | −1.03133 | − | 0.372085i | ||||
\(167\) | 33.1660i | 0.198599i | 0.995058 | + | 0.0992994i | \(0.0316602\pi\) | ||||
−0.995058 | + | 0.0992994i | \(0.968340\pi\) | |||||||
\(168\) | 24.9404 | − | 14.6819i | 0.148455 | − | 0.0873924i | ||||
\(169\) | −168.545 | −0.997305 | ||||||||
\(170\) | −50.7884 | + | 140.773i | −0.298755 | + | 0.828079i | ||||
\(171\) | − | 79.3415i | − | 0.463985i | ||||||
\(172\) | 172.856 | − | 208.376i | 1.00498 | − | 1.21149i | ||||
\(173\) | −267.678 | −1.54727 | −0.773637 | − | 0.633630i | \(-0.781564\pi\) | ||||
−0.773637 | + | 0.633630i | \(0.781564\pi\) | |||||||
\(174\) | 58.4194 | + | 21.0766i | 0.335744 | + | 0.121130i | ||||
\(175\) | 0.202156i | 0.00115518i | ||||||||
\(176\) | −302.797 | + | 56.9186i | −1.72044 | + | 0.323401i | ||||
\(177\) | −22.9528 | −0.129677 | ||||||||
\(178\) | −75.4665 | + | 209.175i | −0.423969 | + | 1.17514i | ||||
\(179\) | 86.9713i | 0.485873i | 0.970042 | + | 0.242937i | \(0.0781107\pi\) | ||||
−0.970042 | + | 0.242937i | \(0.921889\pi\) | |||||||
\(180\) | 46.0899 | + | 38.2333i | 0.256055 | + | 0.212407i | ||||
\(181\) | −86.9733 | −0.480516 | −0.240258 | − | 0.970709i | \(-0.577232\pi\) | ||||
−0.240258 | + | 0.970709i | \(0.577232\pi\) | |||||||
\(182\) | −2.65162 | − | 0.956655i | −0.0145693 | − | 0.00525635i | ||||
\(183\) | − | 29.6128i | − | 0.161819i | ||||||
\(184\) | 19.4636 | + | 33.0631i | 0.105780 | + | 0.179691i | ||||
\(185\) | −44.8927 | −0.242663 | ||||||||
\(186\) | −6.47126 | + | 17.9368i | −0.0347917 | + | 0.0964344i | ||||
\(187\) | 288.739i | 1.54406i | ||||||||
\(188\) | −198.837 | + | 239.695i | −1.05764 | + | 1.27498i | ||||
\(189\) | −10.8529 | −0.0574226 | ||||||||
\(190\) | −248.294 | − | 89.5799i | −1.30681 | − | 0.471473i | ||||
\(191\) | − | 45.4377i | − | 0.237894i | −0.992901 | − | 0.118947i | \(-0.962048\pi\) | ||
0.992901 | − | 0.118947i | \(-0.0379518\pi\) | |||||||
\(192\) | 96.9236 | + | 53.7942i | 0.504810 | + | 0.280178i | ||||
\(193\) | −310.888 | −1.61082 | −0.805409 | − | 0.592719i | \(-0.798054\pi\) | ||||
−0.805409 | + | 0.592719i | \(0.798054\pi\) | |||||||
\(194\) | −11.2428 | + | 31.1625i | −0.0579528 | + | 0.160631i | ||||
\(195\) | − | 5.83280i | − | 0.0299118i | ||||||
\(196\) | −137.422 | − | 113.997i | −0.701134 | − | 0.581618i | ||||
\(197\) | 361.476 | 1.83490 | 0.917451 | − | 0.397848i | \(-0.130243\pi\) | ||||
0.917451 | + | 0.397848i | \(0.130243\pi\) | |||||||
\(198\) | 108.681 | + | 39.2101i | 0.548894 | + | 0.198031i | ||||
\(199\) | − | 159.586i | − | 0.801938i | −0.916092 | − | 0.400969i | \(-0.868674\pi\) | ||
0.916092 | − | 0.400969i | \(-0.131326\pi\) | |||||||
\(200\) | −0.667274 | + | 0.392811i | −0.00333637 | + | 0.00196406i | ||||
\(201\) | −67.6442 | −0.336538 | ||||||||
\(202\) | −91.3920 | + | 253.317i | −0.452436 | + | 1.25404i | ||||
\(203\) | 37.4455i | 0.184461i | ||||||||
\(204\) | 66.3265 | − | 79.9559i | 0.325130 | − | 0.391941i | ||||
\(205\) | 45.9410 | 0.224102 | ||||||||
\(206\) | 236.275 | + | 85.2438i | 1.14697 | + | 0.413805i | ||||
\(207\) | − | 14.3875i | − | 0.0695048i | ||||||
\(208\) | −1.99467 | − | 10.6113i | −0.00958974 | − | 0.0510158i | ||||
\(209\) | −509.274 | −2.43672 | ||||||||
\(210\) | −12.2534 | + | 33.9634i | −0.0583493 | + | 0.161730i | ||||
\(211\) | 117.414i | 0.556462i | 0.960514 | + | 0.278231i | \(0.0897481\pi\) | ||||
−0.960514 | + | 0.278231i | \(0.910252\pi\) | |||||||
\(212\) | 31.9257 | + | 26.4836i | 0.150593 | + | 0.124923i | ||||
\(213\) | 74.0920 | 0.347850 | ||||||||
\(214\) | 354.533 | + | 127.909i | 1.65669 | + | 0.597705i | ||||
\(215\) | 337.768i | 1.57102i | ||||||||
\(216\) | −21.0883 | − | 35.8230i | −0.0976309 | − | 0.165847i | ||||
\(217\) | −11.4971 | −0.0529820 | ||||||||
\(218\) | 123.559 | − | 342.476i | 0.566784 | − | 1.57099i | ||||
\(219\) | 170.454i | 0.778329i | ||||||||
\(220\) | 245.411 | − | 295.840i | 1.11550 | − | 1.34473i | ||||
\(221\) | −10.1186 | −0.0457857 | ||||||||
\(222\) | 29.3135 | + | 10.5758i | 0.132043 | + | 0.0476386i | ||||
\(223\) | − | 129.094i | − | 0.578898i | −0.957193 | − | 0.289449i | \(-0.906528\pi\) | ||
0.957193 | − | 0.289449i | \(-0.0934721\pi\) | |||||||
\(224\) | −10.6773 | + | 65.9780i | −0.0476664 | + | 0.294545i | ||||
\(225\) | 0.290366 | 0.00129052 | ||||||||
\(226\) | −102.564 | + | 284.282i | −0.453822 | + | 1.25789i | ||||
\(227\) | − | 407.639i | − | 1.79577i | −0.440234 | − | 0.897883i | \(-0.645105\pi\) | ||
0.440234 | − | 0.897883i | \(-0.354895\pi\) | |||||||
\(228\) | 141.025 | + | 116.986i | 0.618531 | + | 0.513095i | ||||
\(229\) | −64.4369 | −0.281384 | −0.140692 | − | 0.990053i | \(-0.544933\pi\) | ||||
−0.140692 | + | 0.990053i | \(0.544933\pi\) | |||||||
\(230\) | −45.0247 | − | 16.2441i | −0.195760 | − | 0.0706264i | ||||
\(231\) | 69.6621i | 0.301567i | ||||||||
\(232\) | −123.599 | + | 72.7606i | −0.532756 | + | 0.313623i | ||||
\(233\) | 210.500 | 0.903434 | 0.451717 | − | 0.892161i | \(-0.350812\pi\) | ||||
0.451717 | + | 0.892161i | \(0.350812\pi\) | |||||||
\(234\) | −1.37408 | + | 3.80863i | −0.00587216 | + | 0.0162762i | ||||
\(235\) | − | 388.536i | − | 1.65334i | ||||||
\(236\) | 33.8429 | − | 40.7972i | 0.143402 | − | 0.172870i | ||||
\(237\) | −59.1882 | −0.249739 | ||||||||
\(238\) | 58.9191 | + | 21.2569i | 0.247559 | + | 0.0893147i | ||||
\(239\) | − | 395.091i | − | 1.65310i | −0.562863 | − | 0.826550i | \(-0.690300\pi\) | ||
0.562863 | − | 0.826550i | \(-0.309700\pi\) | |||||||
\(240\) | −135.915 | + | 25.5488i | −0.566313 | + | 0.106453i | ||||
\(241\) | 177.026 | 0.734548 | 0.367274 | − | 0.930113i | \(-0.380291\pi\) | ||||
0.367274 | + | 0.930113i | \(0.380291\pi\) | |||||||
\(242\) | 169.553 | − | 469.959i | 0.700630 | − | 1.94198i | ||||
\(243\) | 15.5885i | 0.0641500i | ||||||||
\(244\) | 52.6351 | + | 43.6628i | 0.215718 | + | 0.178946i | ||||
\(245\) | 222.756 | 0.909206 | ||||||||
\(246\) | −29.9980 | − | 10.8227i | −0.121943 | − | 0.0439948i | ||||
\(247\) | − | 17.8471i | − | 0.0722555i | ||||||
\(248\) | −22.3401 | − | 37.9494i | −0.0900809 | − | 0.153022i | ||||
\(249\) | −157.618 | −0.633006 | ||||||||
\(250\) | 85.0060 | − | 235.616i | 0.340024 | − | 0.942465i | ||||
\(251\) | − | 157.403i | − | 0.627102i | −0.949571 | − | 0.313551i | \(-0.898481\pi\) | ||
0.949571 | − | 0.313551i | \(-0.101519\pi\) | |||||||
\(252\) | 16.0021 | − | 19.2904i | 0.0635004 | − | 0.0765492i | ||||
\(253\) | −92.3499 | −0.365020 | ||||||||
\(254\) | 3.65637 | + | 1.31915i | 0.0143951 | + | 0.00519350i | ||||
\(255\) | 129.605i | 0.508255i | ||||||||
\(256\) | −238.526 | + | 92.9589i | −0.931742 | + | 0.363121i | ||||
\(257\) | 103.852 | 0.404095 | 0.202048 | − | 0.979376i | \(-0.435240\pi\) | ||||
0.202048 | + | 0.979376i | \(0.435240\pi\) | |||||||
\(258\) | 79.5711 | − | 220.552i | 0.308415 | − | 0.854854i | ||||
\(259\) | 18.7893i | 0.0725457i | ||||||||
\(260\) | 10.3675 | + | 8.60021i | 0.0398749 | + | 0.0330777i | ||||
\(261\) | 53.7846 | 0.206071 | ||||||||
\(262\) | 298.088 | + | 107.545i | 1.13774 | + | 0.410476i | ||||
\(263\) | 487.692i | 1.85434i | 0.374638 | + | 0.927171i | \(0.377767\pi\) | ||||
−0.374638 | + | 0.927171i | \(0.622233\pi\) | |||||||
\(264\) | −229.939 | + | 135.361i | −0.870982 | + | 0.512730i | ||||
\(265\) | −51.7502 | −0.195284 | ||||||||
\(266\) | −37.4926 | + | 103.921i | −0.140950 | + | 0.390679i | ||||
\(267\) | 192.580i | 0.721274i | ||||||||
\(268\) | 99.7385 | − | 120.234i | 0.372159 | − | 0.448634i | ||||
\(269\) | 243.899 | 0.906689 | 0.453344 | − | 0.891335i | \(-0.350231\pi\) | ||||
0.453344 | + | 0.891335i | \(0.350231\pi\) | |||||||
\(270\) | 48.7831 | + | 17.6000i | 0.180678 | + | 0.0651853i | ||||
\(271\) | − | 217.007i | − | 0.800762i | −0.916349 | − | 0.400381i | \(-0.868878\pi\) | ||
0.916349 | − | 0.400381i | \(-0.131122\pi\) | |||||||
\(272\) | 44.3215 | + | 235.783i | 0.162947 | + | 0.866850i | ||||
\(273\) | −2.44125 | −0.00894231 | ||||||||
\(274\) | −27.3137 | + | 75.7069i | −0.0996849 | + | 0.276303i | ||||
\(275\) | − | 1.86379i | − | 0.00677742i | ||||||
\(276\) | 25.5730 | + | 21.2138i | 0.0926557 | + | 0.0768614i | ||||
\(277\) | 224.196 | 0.809370 | 0.404685 | − | 0.914456i | \(-0.367381\pi\) | ||||
0.404685 | + | 0.914456i | \(0.367381\pi\) | |||||||
\(278\) | 360.324 | + | 129.998i | 1.29613 | + | 0.467619i | ||||
\(279\) | 16.5138i | 0.0591891i | ||||||||
\(280\) | −42.3009 | − | 71.8572i | −0.151075 | − | 0.256633i | ||||
\(281\) | −131.480 | −0.467900 | −0.233950 | − | 0.972249i | \(-0.575165\pi\) | ||||
−0.233950 | + | 0.972249i | \(0.575165\pi\) | |||||||
\(282\) | −91.5308 | + | 253.702i | −0.324577 | + | 0.899651i | ||||
\(283\) | − | 65.1673i | − | 0.230273i | −0.993350 | − | 0.115137i | \(-0.963269\pi\) | ||
0.993350 | − | 0.115137i | \(-0.0367306\pi\) | |||||||
\(284\) | −109.245 | + | 131.694i | −0.384667 | + | 0.463712i | ||||
\(285\) | −228.595 | −0.802089 | ||||||||
\(286\) | 24.4467 | + | 8.81992i | 0.0854781 | + | 0.0308389i | ||||
\(287\) | − | 19.2281i | − | 0.0669967i | ||||||
\(288\) | 94.7671 | + | 15.3362i | 0.329052 | + | 0.0532507i | ||||
\(289\) | −64.1635 | −0.222019 | ||||||||
\(290\) | 60.7251 | − | 168.315i | 0.209397 | − | 0.580398i | ||||
\(291\) | 28.6902i | 0.0985916i | ||||||||
\(292\) | −302.973 | − | 251.327i | −1.03758 | − | 0.860710i | ||||
\(293\) | 545.687 | 1.86241 | 0.931207 | − | 0.364490i | \(-0.118757\pi\) | ||||
0.931207 | + | 0.364490i | \(0.118757\pi\) | |||||||
\(294\) | −145.452 | − | 52.4765i | −0.494736 | − | 0.178492i | ||||
\(295\) | 66.1305i | 0.224171i | ||||||||
\(296\) | −62.0194 | + | 36.5096i | −0.209525 | + | 0.123343i | ||||
\(297\) | 100.059 | 0.336898 | ||||||||
\(298\) | −53.9252 | + | 149.468i | −0.180957 | + | 0.501570i | ||||
\(299\) | − | 3.23633i | − | 0.0108238i | ||||||
\(300\) | −0.428132 | + | 0.516109i | −0.00142711 | + | 0.00172036i | ||||
\(301\) | 141.369 | 0.469665 | ||||||||
\(302\) | 228.290 | + | 82.3628i | 0.755927 | + | 0.272724i | ||||
\(303\) | 233.220i | 0.769702i | ||||||||
\(304\) | −415.871 | + | 78.1737i | −1.36800 | + | 0.257150i | ||||
\(305\) | −85.3192 | −0.279735 | ||||||||
\(306\) | 30.5322 | − | 84.6280i | 0.0997785 | − | 0.276562i | ||||
\(307\) | 206.689i | 0.673255i | 0.941638 | + | 0.336628i | \(0.109286\pi\) | ||||
−0.941638 | + | 0.336628i | \(0.890714\pi\) | |||||||
\(308\) | −123.820 | − | 102.714i | −0.402014 | − | 0.333486i | ||||
\(309\) | 217.530 | 0.703982 | ||||||||
\(310\) | 51.6788 | + | 18.6447i | 0.166706 | + | 0.0601443i | ||||
\(311\) | − | 378.823i | − | 1.21808i | −0.793139 | − | 0.609041i | \(-0.791555\pi\) | ||
0.793139 | − | 0.609041i | \(-0.208445\pi\) | |||||||
\(312\) | −4.74360 | − | 8.05803i | −0.0152039 | − | 0.0258270i | ||||
\(313\) | −475.039 | −1.51770 | −0.758848 | − | 0.651268i | \(-0.774237\pi\) | ||||
−0.758848 | + | 0.651268i | \(0.774237\pi\) | |||||||
\(314\) | −189.378 | + | 524.910i | −0.603114 | + | 1.67169i | ||||
\(315\) | 31.2689i | 0.0992662i | ||||||||
\(316\) | 87.2705 | − | 105.204i | 0.276173 | − | 0.332923i | ||||
\(317\) | −87.3361 | −0.275508 | −0.137754 | − | 0.990466i | \(-0.543988\pi\) | ||||
−0.137754 | + | 0.990466i | \(0.543988\pi\) | |||||||
\(318\) | 33.7913 | + | 12.1913i | 0.106262 | + | 0.0383373i | ||||
\(319\) | − | 345.231i | − | 1.08223i | ||||||
\(320\) | 154.990 | − | 279.252i | 0.484343 | − | 0.872663i | ||||
\(321\) | 326.406 | 1.01684 | ||||||||
\(322\) | −6.79877 | + | 18.8446i | −0.0211142 | + | 0.0585235i | ||||
\(323\) | 396.563i | 1.22775i | ||||||||
\(324\) | −27.7076 | − | 22.9845i | −0.0855173 | − | 0.0709399i | ||||
\(325\) | 0.0653150 | 0.000200969 | ||||||||
\(326\) | −229.944 | − | 82.9595i | −0.705350 | − | 0.254477i | ||||
\(327\) | − | 315.305i | − | 0.964236i | ||||||
\(328\) | 63.4676 | − | 37.3621i | 0.193499 | − | 0.113909i | ||||
\(329\) | −162.617 | −0.494277 | ||||||||
\(330\) | 112.970 | − | 313.127i | 0.342334 | − | 0.948869i | ||||
\(331\) | 302.792i | 0.914779i | 0.889266 | + | 0.457389i | \(0.151215\pi\) | ||||
−0.889266 | + | 0.457389i | \(0.848785\pi\) | |||||||
\(332\) | 232.402 | − | 280.158i | 0.700006 | − | 0.843850i | ||||
\(333\) | 26.9879 | 0.0810448 | ||||||||
\(334\) | −62.3954 | − | 22.5111i | −0.186813 | − | 0.0673985i | ||||
\(335\) | 194.894i | 0.581772i | ||||||||
\(336\) | 10.6931 | + | 56.8857i | 0.0318248 | + | 0.169303i | ||||
\(337\) | 245.407 | 0.728211 | 0.364105 | − | 0.931358i | \(-0.381375\pi\) | ||||
0.364105 | + | 0.931358i | \(0.381375\pi\) | |||||||
\(338\) | 114.398 | − | 317.084i | 0.338456 | − | 0.938118i | ||||
\(339\) | 261.728i | 0.772060i | ||||||||
\(340\) | −230.366 | − | 191.097i | −0.677546 | − | 0.562050i | ||||
\(341\) | 105.998 | 0.310845 | ||||||||
\(342\) | 149.266 | + | 53.8523i | 0.436449 | + | 0.157463i | ||||
\(343\) | − | 195.575i | − | 0.570190i | ||||||
\(344\) | 274.695 | + | 466.628i | 0.798532 | + | 1.35648i | ||||
\(345\) | −41.4526 | −0.120153 | ||||||||
\(346\) | 181.684 | − | 503.585i | 0.525098 | − | 1.45545i | ||||
\(347\) | − | 208.864i | − | 0.601914i | −0.953638 | − | 0.300957i | \(-0.902694\pi\) | ||
0.953638 | − | 0.300957i | \(-0.0973061\pi\) | |||||||
\(348\) | −79.3032 | + | 95.5992i | −0.227883 | + | 0.274710i | ||||
\(349\) | 488.684 | 1.40024 | 0.700121 | − | 0.714024i | \(-0.253129\pi\) | ||||
0.700121 | + | 0.714024i | \(0.253129\pi\) | |||||||
\(350\) | −0.380318 | − | 0.137212i | −0.00108662 | − | 0.000392034i | ||||
\(351\) | 3.50647i | 0.00998995i | ||||||||
\(352\) | 98.4395 | − | 608.288i | 0.279658 | − | 1.72809i | ||||
\(353\) | −195.703 | −0.554399 | −0.277200 | − | 0.960812i | \(-0.589406\pi\) | ||||
−0.277200 | + | 0.960812i | \(0.589406\pi\) | |||||||
\(354\) | 15.5790 | − | 43.1812i | 0.0440084 | − | 0.121981i | ||||
\(355\) | − | 213.471i | − | 0.601326i | ||||||
\(356\) | −342.300 | − | 283.951i | −0.961518 | − | 0.797616i | ||||
\(357\) | 54.2447 | 0.151946 | ||||||||
\(358\) | −163.620 | − | 59.0309i | −0.457038 | − | 0.164891i | ||||
\(359\) | 333.242i | 0.928250i | 0.885770 | + | 0.464125i | \(0.153631\pi\) | ||||
−0.885770 | + | 0.464125i | \(0.846369\pi\) | |||||||
\(360\) | −103.212 | + | 60.7587i | −0.286699 | + | 0.168774i | ||||
\(361\) | −338.453 | −0.937542 | ||||||||
\(362\) | 59.0323 | − | 163.623i | 0.163073 | − | 0.451999i | ||||
\(363\) | − | 432.675i | − | 1.19194i | ||||||
\(364\) | 3.59952 | − | 4.33919i | 0.00988879 | − | 0.0119208i | ||||
\(365\) | 491.105 | 1.34549 | ||||||||
\(366\) | 55.7108 | + | 20.0994i | 0.152215 | + | 0.0549164i | ||||
\(367\) | 217.361i | 0.592265i | 0.955147 | + | 0.296132i | \(0.0956970\pi\) | ||||
−0.955147 | + | 0.296132i | \(0.904303\pi\) | |||||||
\(368\) | −75.4125 | + | 14.1757i | −0.204925 | + | 0.0385210i | ||||
\(369\) | −27.6181 | −0.0748458 | ||||||||
\(370\) | 30.4705 | − | 84.4569i | 0.0823527 | − | 0.228262i | ||||
\(371\) | 21.6594i | 0.0583813i | ||||||||
\(372\) | −29.3523 | − | 24.3489i | −0.0789040 | − | 0.0654539i | ||||
\(373\) | −384.801 | −1.03164 | −0.515819 | − | 0.856698i | \(-0.672512\pi\) | ||||
−0.515819 | + | 0.856698i | \(0.672512\pi\) | |||||||
\(374\) | −543.207 | − | 195.979i | −1.45243 | − | 0.524008i | ||||
\(375\) | − | 216.923i | − | 0.578462i | ||||||
\(376\) | −315.982 | − | 536.763i | −0.840378 | − | 1.42756i | ||||
\(377\) | 12.0983 | 0.0320911 | ||||||||
\(378\) | 7.36629 | − | 20.4176i | 0.0194875 | − | 0.0540148i | ||||
\(379\) | 660.203i | 1.74196i | 0.491319 | + | 0.870980i | \(0.336515\pi\) | ||||
−0.491319 | + | 0.870980i | \(0.663485\pi\) | |||||||
\(380\) | 337.054 | − | 406.316i | 0.886985 | − | 1.06925i | ||||
\(381\) | 3.36629 | 0.00883539 | ||||||||
\(382\) | 85.4822 | + | 30.8404i | 0.223775 | + | 0.0807340i | ||||
\(383\) | 241.541i | 0.630655i | 0.948983 | + | 0.315327i | \(0.102114\pi\) | ||||
−0.948983 | + | 0.315327i | \(0.897886\pi\) | |||||||
\(384\) | −166.989 | + | 145.831i | −0.434868 | + | 0.379767i | ||||
\(385\) | 200.707 | 0.521318 | ||||||||
\(386\) | 211.012 | − | 584.875i | 0.546664 | − | 1.51522i | ||||
\(387\) | − | 203.055i | − | 0.524689i | ||||||
\(388\) | −50.9952 | − | 42.3024i | −0.131431 | − | 0.109027i | ||||
\(389\) | 263.893 | 0.678389 | 0.339194 | − | 0.940716i | \(-0.389846\pi\) | ||||
0.339194 | + | 0.940716i | \(0.389846\pi\) | |||||||
\(390\) | 10.9733 | + | 3.95895i | 0.0281366 | + | 0.0101512i | ||||
\(391\) | 71.9113i | 0.183916i | ||||||||
\(392\) | 307.737 | − | 181.159i | 0.785045 | − | 0.462140i | ||||
\(393\) | 274.439 | 0.698318 | ||||||||
\(394\) | −245.348 | + | 680.047i | −0.622711 | + | 1.72601i | ||||
\(395\) | 170.531i | 0.431723i | ||||||||
\(396\) | −147.532 | + | 177.849i | −0.372556 | + | 0.449113i | ||||
\(397\) | 15.2558 | 0.0384276 | 0.0192138 | − | 0.999815i | \(-0.493884\pi\) | ||||
0.0192138 | + | 0.999815i | \(0.493884\pi\) | |||||||
\(398\) | 300.229 | + | 108.317i | 0.754345 | + | 0.272154i | ||||
\(399\) | 95.6760i | 0.239789i | ||||||||
\(400\) | −0.286092 | − | 1.52196i | −0.000715231 | − | 0.00380491i | ||||
\(401\) | −243.402 | −0.606987 | −0.303493 | − | 0.952834i | \(-0.598153\pi\) | ||||
−0.303493 | + | 0.952834i | \(0.598153\pi\) | |||||||
\(402\) | 45.9128 | − | 127.259i | 0.114211 | − | 0.316566i | ||||
\(403\) | 3.71461i | 0.00921740i | ||||||||
\(404\) | −414.535 | − | 343.873i | −1.02608 | − | 0.851170i | ||||
\(405\) | 44.9128 | 0.110896 | ||||||||
\(406\) | −70.4465 | − | 25.4158i | −0.173514 | − | 0.0626005i | ||||
\(407\) | − | 173.229i | − | 0.425624i | ||||||
\(408\) | 105.403 | + | 179.050i | 0.258341 | + | 0.438847i | ||||
\(409\) | 146.837 | 0.359014 | 0.179507 | − | 0.983757i | \(-0.442550\pi\) | ||||
0.179507 | + | 0.983757i | \(0.442550\pi\) | |||||||
\(410\) | −31.1820 | + | 86.4290i | −0.0760536 | + | 0.210802i | ||||
\(411\) | 69.7007i | 0.169588i | ||||||||
\(412\) | −320.739 | + | 386.648i | −0.778494 | + | 0.938466i | ||||
\(413\) | 27.6782 | 0.0670174 | ||||||||
\(414\) | 27.0673 | + | 9.76537i | 0.0653799 | + | 0.0235879i | ||||
\(415\) | 454.124i | 1.09427i | ||||||||
\(416\) | 21.3169 | + | 3.44973i | 0.0512426 | + | 0.00829263i | ||||
\(417\) | 331.737 | 0.795532 | ||||||||
\(418\) | 345.665 | − | 958.101i | 0.826950 | − | 2.29211i | ||||
\(419\) | − | 555.146i | − | 1.32493i | −0.749093 | − | 0.662465i | \(-0.769510\pi\) | ||
0.749093 | − | 0.662465i | \(-0.230490\pi\) | |||||||
\(420\) | −55.5786 | − | 46.1046i | −0.132330 | − | 0.109773i | ||||
\(421\) | −418.435 | −0.993906 | −0.496953 | − | 0.867777i | \(-0.665548\pi\) | ||||
−0.496953 | + | 0.867777i | \(0.665548\pi\) | |||||||
\(422\) | −220.891 | − | 79.6933i | −0.523438 | − | 0.188847i | ||||
\(423\) | 233.574i | 0.552184i | ||||||||
\(424\) | −71.4931 | + | 42.0866i | −0.168616 | + | 0.0992608i | ||||
\(425\) | −1.45130 | −0.00341483 | ||||||||
\(426\) | −50.2892 | + | 139.390i | −0.118050 | + | 0.327206i | ||||
\(427\) | 35.7094i | 0.0836285i | ||||||||
\(428\) | −481.271 | + | 580.168i | −1.12447 | + | 1.35553i | ||||
\(429\) | 22.5072 | 0.0524644 | ||||||||
\(430\) | −635.446 | − | 229.257i | −1.47778 | − | 0.533156i | ||||
\(431\) | 438.415i | 1.01720i | 0.861002 | + | 0.508602i | \(0.169837\pi\) | ||||
−0.861002 | + | 0.508602i | \(0.830163\pi\) | |||||||
\(432\) | 81.7074 | − | 15.3590i | 0.189138 | − | 0.0355533i | ||||
\(433\) | 84.8420 | 0.195940 | 0.0979700 | − | 0.995189i | \(-0.468765\pi\) | ||||
0.0979700 | + | 0.995189i | \(0.468765\pi\) | |||||||
\(434\) | 7.80354 | − | 21.6295i | 0.0179805 | − | 0.0498377i | ||||
\(435\) | − | 154.962i | − | 0.356235i | ||||||
\(436\) | 560.437 | + | 464.904i | 1.28541 | + | 1.06629i | ||||
\(437\) | −126.836 | −0.290243 | ||||||||
\(438\) | −320.676 | − | 115.694i | −0.732138 | − | 0.264142i | ||||
\(439\) | − | 297.673i | − | 0.678070i | −0.940774 | − | 0.339035i | \(-0.889899\pi\) | ||
0.940774 | − | 0.339035i | \(-0.110101\pi\) | |||||||
\(440\) | 389.995 | + | 662.491i | 0.886353 | + | 1.50566i | ||||
\(441\) | −133.913 | −0.303657 | ||||||||
\(442\) | 6.86793 | − | 19.0362i | 0.0155383 | − | 0.0430684i | ||||
\(443\) | 357.912i | 0.807929i | 0.914775 | + | 0.403964i | \(0.132368\pi\) | ||||
−0.914775 | + | 0.403964i | \(0.867632\pi\) | |||||||
\(444\) | −39.7925 | + | 47.9695i | −0.0896228 | + | 0.108039i | ||||
\(445\) | 554.854 | 1.24686 | ||||||||
\(446\) | 242.866 | + | 87.6215i | 0.544542 | + | 0.196461i | ||||
\(447\) | 137.610i | 0.307852i | ||||||||
\(448\) | −116.878 | − | 64.8691i | −0.260888 | − | 0.144797i | ||||
\(449\) | −636.511 | −1.41762 | −0.708810 | − | 0.705400i | \(-0.750768\pi\) | ||||
−0.708810 | + | 0.705400i | \(0.750768\pi\) | |||||||
\(450\) | −0.197083 | + | 0.546267i | −0.000437962 | + | 0.00121393i | ||||
\(451\) | 177.274i | 0.393069i | ||||||||
\(452\) | −465.208 | − | 385.908i | −1.02922 | − | 0.853778i | ||||
\(453\) | 210.178 | 0.463970 | ||||||||
\(454\) | 766.893 | + | 276.681i | 1.68919 | + | 0.609429i | ||||
\(455\) | 7.03363i | 0.0154585i | ||||||||
\(456\) | −315.805 | + | 185.908i | −0.692556 | + | 0.407694i | ||||
\(457\) | −333.595 | −0.729966 | −0.364983 | − | 0.931014i | \(-0.618925\pi\) | ||||
−0.364983 | + | 0.931014i | \(0.618925\pi\) | |||||||
\(458\) | 43.7359 | − | 121.226i | 0.0954933 | − | 0.264685i | ||||
\(459\) | − | 77.9140i | − | 0.169747i | ||||||
\(460\) | 61.1202 | − | 73.6798i | 0.132870 | − | 0.160173i | ||||
\(461\) | −530.682 | −1.15115 | −0.575577 | − | 0.817748i | \(-0.695222\pi\) | ||||
−0.575577 | + | 0.817748i | \(0.695222\pi\) | |||||||
\(462\) | −131.056 | − | 47.2825i | −0.283670 | − | 0.102343i | ||||
\(463\) | 610.806i | 1.31924i | 0.751601 | + | 0.659618i | \(0.229282\pi\) | ||||
−0.751601 | + | 0.659618i | \(0.770718\pi\) | |||||||
\(464\) | −52.9930 | − | 281.914i | −0.114209 | − | 0.607573i | ||||
\(465\) | 47.5788 | 0.102320 | ||||||||
\(466\) | −142.875 | + | 396.015i | −0.306598 | + | 0.849817i | ||||
\(467\) | 157.833i | 0.337972i | 0.985618 | + | 0.168986i | \(0.0540492\pi\) | ||||
−0.985618 | + | 0.168986i | \(0.945951\pi\) | |||||||
\(468\) | −6.23256 | − | 5.17015i | −0.0133174 | − | 0.0110473i | ||||
\(469\) | 81.5705 | 0.173924 | ||||||||
\(470\) | 730.954 | + | 263.715i | 1.55522 | + | 0.561095i | ||||
\(471\) | 483.266i | 1.02604i | ||||||||
\(472\) | 53.7816 | + | 91.3595i | 0.113944 | + | 0.193558i | ||||
\(473\) | −1303.36 | −2.75552 | ||||||||
\(474\) | 40.1734 | − | 111.351i | 0.0847540 | − | 0.234918i | ||||
\(475\) | − | 2.55979i | − | 0.00538902i | ||||||
\(476\) | −79.9815 | + | 96.4169i | −0.168028 | + | 0.202556i | ||||
\(477\) | 31.1104 | 0.0652209 | ||||||||
\(478\) | 743.287 | + | 268.164i | 1.55499 | + | 0.561013i | ||||
\(479\) | 764.423i | 1.59587i | 0.602742 | + | 0.797936i | \(0.294075\pi\) | ||||
−0.602742 | + | 0.797936i | \(0.705925\pi\) | |||||||
\(480\) | 44.1860 | − | 273.039i | 0.0920543 | − | 0.568831i | ||||
\(481\) | 6.07067 | 0.0126209 | ||||||||
\(482\) | −120.155 | + | 333.040i | −0.249283 | + | 0.690954i | ||||
\(483\) | 17.3495i | 0.0359203i | ||||||||
\(484\) | 769.055 | + | 637.960i | 1.58896 | + | 1.31810i | ||||
\(485\) | 82.6609 | 0.170435 | ||||||||
\(486\) | −29.3267 | − | 10.5805i | −0.0603429 | − | 0.0217706i | ||||
\(487\) | 167.028i | 0.342973i | 0.985186 | + | 0.171487i | \(0.0548570\pi\) | ||||
−0.985186 | + | 0.171487i | \(0.945143\pi\) | |||||||
\(488\) | −117.869 | + | 69.3870i | −0.241534 | + | 0.142187i | ||||
\(489\) | −211.701 | −0.432927 | ||||||||
\(490\) | −151.193 | + | 419.071i | −0.308557 | + | 0.855247i | ||||
\(491\) | 128.950i | 0.262628i | 0.991341 | + | 0.131314i | \(0.0419196\pi\) | ||||
−0.991341 | + | 0.131314i | \(0.958080\pi\) | |||||||
\(492\) | 40.7217 | − | 49.0896i | 0.0827677 | − | 0.0997756i | ||||
\(493\) | −268.825 | −0.545285 | ||||||||
\(494\) | 33.5759 | + | 12.1135i | 0.0679673 | + | 0.0245214i | ||||
\(495\) | − | 288.285i | − | 0.582393i | ||||||
\(496\) | 86.5575 | − | 16.2707i | 0.174511 | − | 0.0328038i | ||||
\(497\) | −89.3457 | −0.179770 | ||||||||
\(498\) | 106.982 | − | 296.529i | 0.214823 | − | 0.595439i | ||||
\(499\) | − | 458.132i | − | 0.918100i | −0.888410 | − | 0.459050i | \(-0.848190\pi\) | ||
0.888410 | − | 0.459050i | \(-0.151810\pi\) | |||||||
\(500\) | 385.569 | + | 319.844i | 0.771139 | + | 0.639689i | ||||
\(501\) | −57.4452 | −0.114661 | ||||||||
\(502\) | 296.123 | + | 106.836i | 0.589886 | + | 0.212820i | ||||
\(503\) | 591.001i | 1.17495i | 0.809242 | + | 0.587476i | \(0.199878\pi\) | ||||
−0.809242 | + | 0.587476i | \(0.800122\pi\) | |||||||
\(504\) | 25.4298 | + | 43.1980i | 0.0504560 | + | 0.0857104i | ||||
\(505\) | 671.943 | 1.33058 | ||||||||
\(506\) | 62.6816 | − | 173.738i | 0.123877 | − | 0.343357i | ||||
\(507\) | − | 291.928i | − | 0.575795i | ||||||
\(508\) | −4.96345 | + | 5.98338i | −0.00977056 | + | 0.0117783i | ||||
\(509\) | −630.726 | −1.23915 | −0.619574 | − | 0.784938i | \(-0.712695\pi\) | ||||
−0.619574 | + | 0.784938i | \(0.712695\pi\) | |||||||
\(510\) | −243.827 | − | 87.9681i | −0.478091 | − | 0.172486i | ||||
\(511\) | − | 205.546i | − | 0.402243i | ||||||
\(512\) | −12.9870 | − | 511.835i | −0.0253652 | − | 0.999678i | ||||
\(513\) | 137.424 | 0.267882 | ||||||||
\(514\) | −70.4889 | + | 195.378i | −0.137138 | + | 0.380113i | ||||
\(515\) | − | 626.739i | − | 1.21697i | ||||||
\(516\) | 360.918 | + | 299.395i | 0.699454 | + | 0.580223i | ||||
\(517\) | 1499.26 | 2.89992 | ||||||||
\(518\) | −35.3485 | − | 12.7531i | −0.0682403 | − | 0.0246198i | ||||
\(519\) | − | 463.632i | − | 0.893319i | ||||||
\(520\) | −23.2165 | + | 13.6671i | −0.0446470 | + | 0.0262828i | ||||
\(521\) | 203.130 | 0.389884 | 0.194942 | − | 0.980815i | \(-0.437548\pi\) | ||||
0.194942 | + | 0.980815i | \(0.437548\pi\) | |||||||
\(522\) | −36.5058 | + | 101.185i | −0.0699345 | + | 0.193842i | ||||
\(523\) | 520.529i | 0.995276i | 0.867385 | + | 0.497638i | \(0.165799\pi\) | ||||
−0.867385 | + | 0.497638i | \(0.834201\pi\) | |||||||
\(524\) | −404.649 | + | 487.800i | −0.772230 | + | 0.930916i | ||||
\(525\) | −0.350145 | −0.000666943 | ||||||||
\(526\) | −917.498 | − | 331.016i | −1.74429 | − | 0.629308i | ||||
\(527\) | − | 82.5388i | − | 0.156620i | ||||||
\(528\) | −98.5859 | − | 524.461i | −0.186716 | − | 0.993297i | ||||
\(529\) | −23.0000 | −0.0434783 | ||||||||
\(530\) | 35.1249 | − | 97.3579i | 0.0662735 | − | 0.183694i | ||||
\(531\) | − | 39.7553i | − | 0.0748688i | ||||||
\(532\) | −170.059 | − | 141.070i | −0.319659 | − | 0.265170i | ||||
\(533\) | −6.21242 | −0.0116556 | ||||||||
\(534\) | −362.302 | − | 130.712i | −0.678468 | − | 0.244779i | ||||
\(535\) | − | 940.426i | − | 1.75781i | ||||||
\(536\) | 158.500 | + | 269.246i | 0.295709 | + | 0.502325i | ||||
\(537\) | −150.639 | −0.280519 | ||||||||
\(538\) | −165.544 | + | 458.849i | −0.307703 | + | 0.852879i | ||||
\(539\) | 859.555i | 1.59472i | ||||||||
\(540\) | −66.2220 | + | 79.8300i | −0.122633 | + | 0.147833i | ||||
\(541\) | −649.189 | −1.19998 | −0.599990 | − | 0.800007i | \(-0.704829\pi\) | ||||
−0.599990 | + | 0.800007i | \(0.704829\pi\) | |||||||
\(542\) | 408.256 | + | 147.291i | 0.753239 | + | 0.271755i | ||||
\(543\) | − | 150.642i | − | 0.277426i | ||||||
\(544\) | −473.663 | − | 76.6532i | −0.870704 | − | 0.140907i | ||||
\(545\) | −908.444 | −1.66687 | ||||||||
\(546\) | 1.65697 | − | 4.59274i | 0.00303475 | − | 0.00841161i | ||||
\(547\) | − | 807.856i | − | 1.47688i | −0.674317 | − | 0.738442i | \(-0.735562\pi\) | ||
0.674317 | − | 0.738442i | \(-0.264438\pi\) | |||||||
\(548\) | −123.889 | − | 102.771i | −0.226075 | − | 0.187538i | ||||
\(549\) | 51.2909 | 0.0934260 | ||||||||
\(550\) | 3.50636 | + | 1.26503i | 0.00637520 | + | 0.00230005i | ||||
\(551\) | − | 474.150i | − | 0.860527i | ||||||
\(552\) | −57.2670 | + | 33.7119i | −0.103744 | + | 0.0610724i | ||||
\(553\) | 71.3736 | 0.129066 | ||||||||
\(554\) | −152.171 | + | 421.780i | −0.274676 | + | 0.761336i | ||||
\(555\) | − | 77.7564i | − | 0.140102i | ||||||
\(556\) | −489.132 | + | 589.644i | −0.879734 | + | 1.06051i | ||||
\(557\) | 187.300 | 0.336266 | 0.168133 | − | 0.985764i | \(-0.446226\pi\) | ||||
0.168133 | + | 0.985764i | \(0.446226\pi\) | |||||||
\(558\) | −31.0674 | − | 11.2086i | −0.0556764 | − | 0.0200870i | ||||
\(559\) | − | 45.6751i | − | 0.0817087i | ||||||
\(560\) | 163.897 | − | 30.8086i | 0.292673 | − | 0.0550154i | ||||
\(561\) | −500.111 | −0.891464 | ||||||||
\(562\) | 89.2406 | − | 247.354i | 0.158791 | − | 0.440131i | ||||
\(563\) | − | 455.565i | − | 0.809174i | −0.914500 | − | 0.404587i | \(-0.867415\pi\) | ||
0.914500 | − | 0.404587i | \(-0.132585\pi\) | |||||||
\(564\) | −415.165 | − | 344.395i | −0.736108 | − | 0.610629i | ||||
\(565\) | 754.081 | 1.33466 | ||||||||
\(566\) | 122.600 | + | 44.2317i | 0.216607 | + | 0.0781479i | ||||
\(567\) | − | 18.7977i | − | 0.0331530i | ||||||
\(568\) | −173.608 | − | 294.910i | −0.305648 | − | 0.519208i | ||||
\(569\) | 1043.09 | 1.83320 | 0.916600 | − | 0.399806i | \(-0.130923\pi\) | ||||
0.916600 | + | 0.399806i | \(0.130923\pi\) | |||||||
\(570\) | 155.157 | − | 430.058i | 0.272205 | − | 0.754488i | ||||
\(571\) | − | 148.571i | − | 0.260194i | −0.991501 | − | 0.130097i | \(-0.958471\pi\) | ||
0.991501 | − | 0.130097i | \(-0.0415288\pi\) | |||||||
\(572\) | −33.1860 | + | 40.0053i | −0.0580174 | + | 0.0699394i | ||||
\(573\) | 78.7004 | 0.137348 | ||||||||
\(574\) | 36.1739 | + | 13.0509i | 0.0630207 | + | 0.0227367i | ||||
\(575\) | − | 0.464182i | − | 0.000807273i | ||||||
\(576\) | −93.1743 | + | 167.877i | −0.161761 | + | 0.291452i | ||||
\(577\) | 314.979 | 0.545891 | 0.272946 | − | 0.962029i | \(-0.412002\pi\) | ||||
0.272946 | + | 0.962029i | \(0.412002\pi\) | |||||||
\(578\) | 43.5504 | − | 120.711i | 0.0753467 | − | 0.208843i | ||||
\(579\) | − | 538.474i | − | 0.930006i | ||||||
\(580\) | 275.436 | + | 228.485i | 0.474890 | + | 0.393940i | ||||
\(581\) | 190.068 | 0.327140 | ||||||||
\(582\) | −53.9750 | − | 19.4732i | −0.0927405 | − | 0.0334590i | ||||
\(583\) | − | 199.690i | − | 0.342522i | ||||||
\(584\) | 678.463 | − | 399.398i | 1.16175 | − | 0.683901i | ||||
\(585\) | 10.1027 | 0.0172696 | ||||||||
\(586\) | −370.380 | + | 1026.60i | −0.632048 | + | 1.75189i | ||||
\(587\) | 12.0000i | 0.0204429i | 0.999948 | + | 0.0102214i | \(0.00325364\pi\) | ||||
−0.999948 | + | 0.0102214i | \(0.996746\pi\) | |||||||
\(588\) | 197.449 | − | 238.022i | 0.335797 | − | 0.404800i | ||||
\(589\) | 145.581 | 0.247166 | ||||||||
\(590\) | −124.412 | − | 44.8854i | −0.210867 | − | 0.0760770i | ||||
\(591\) | 626.094i | 1.05938i | ||||||||
\(592\) | −26.5907 | − | 141.458i | −0.0449167 | − | 0.238949i | ||||
\(593\) | −762.316 | −1.28552 | −0.642762 | − | 0.766066i | \(-0.722212\pi\) | ||||
−0.642762 | + | 0.766066i | \(0.722212\pi\) | |||||||
\(594\) | −67.9138 | + | 188.241i | −0.114333 | + | 0.316904i | ||||
\(595\) | − | 156.287i | − | 0.262668i | ||||||
\(596\) | −244.594 | − | 202.900i | −0.410392 | − | 0.340436i | ||||
\(597\) | 276.410 | 0.462999 | ||||||||
\(598\) | 6.08852 | + | 2.19663i | 0.0101815 | + | 0.00367329i | ||||
\(599\) | − | 112.991i | − | 0.188632i | −0.995542 | − | 0.0943161i | \(-0.969934\pi\) | ||
0.995542 | − | 0.0943161i | \(-0.0300664\pi\) | |||||||
\(600\) | −0.680369 | − | 1.15575i | −0.00113395 | − | 0.00192625i | ||||
\(601\) | 609.920 | 1.01484 | 0.507421 | − | 0.861698i | \(-0.330599\pi\) | ||||
0.507421 | + | 0.861698i | \(0.330599\pi\) | |||||||
\(602\) | −95.9529 | + | 265.959i | −0.159390 | + | 0.441792i | ||||
\(603\) | − | 117.163i | − | 0.194300i | ||||||
\(604\) | −309.899 | + | 373.580i | −0.513078 | + | 0.618510i | ||||
\(605\) | −1246.60 | −2.06050 | ||||||||
\(606\) | −438.758 | − | 158.296i | −0.724023 | − | 0.261214i | ||||
\(607\) | 1079.22i | 1.77795i | 0.457952 | + | 0.888977i | \(0.348583\pi\) | ||||
−0.457952 | + | 0.888977i | \(0.651417\pi\) | |||||||
\(608\) | 135.200 | − | 835.440i | 0.222368 | − | 1.37408i | ||||
\(609\) | −64.8576 | −0.106498 | ||||||||
\(610\) | 57.9096 | − | 160.511i | 0.0949337 | − | 0.263134i | ||||
\(611\) | 52.5402i | 0.0859905i | ||||||||
\(612\) | 138.488 | + | 114.881i | 0.226287 | + | 0.187714i | ||||
\(613\) | −407.000 | −0.663948 | −0.331974 | − | 0.943288i | \(-0.607715\pi\) | ||||
−0.331974 | + | 0.943288i | \(0.607715\pi\) | |||||||
\(614\) | −388.846 | − | 140.288i | −0.633299 | − | 0.228483i | ||||
\(615\) | 79.5721i | 0.129385i | ||||||||
\(616\) | 277.278 | − | 163.228i | 0.450127 | − | 0.264981i | ||||
\(617\) | −205.895 | −0.333703 | −0.166852 | − | 0.985982i | \(-0.553360\pi\) | ||||
−0.166852 | + | 0.985982i | \(0.553360\pi\) | |||||||
\(618\) | −147.647 | + | 409.241i | −0.238910 | + | 0.662203i | ||||
\(619\) | 462.926i | 0.747862i | 0.927457 | + | 0.373931i | \(0.121990\pi\) | ||||
−0.927457 | + | 0.373931i | \(0.878010\pi\) | |||||||
\(620\) | −70.1529 | + | 84.5686i | −0.113150 | + | 0.136401i | ||||
\(621\) | 24.9199 | 0.0401286 | ||||||||
\(622\) | 712.683 | + | 257.123i | 1.14579 | + | 0.413380i | ||||
\(623\) | − | 232.228i | − | 0.372757i | ||||||
\(624\) | 18.3793 | − | 3.45486i | 0.0294540 | − | 0.00553664i | ||||
\(625\) | −622.571 | −0.996113 | ||||||||
\(626\) | 322.428 | − | 893.693i | 0.515061 | − | 1.42762i | ||||
\(627\) | − | 882.089i | − | 1.40684i | ||||||
\(628\) | −858.979 | − | 712.556i | −1.36780 | − | 1.13464i | ||||
\(629\) | −134.891 | −0.214452 | ||||||||
\(630\) | −58.8263 | − | 21.2234i | −0.0933751 | − | 0.0336880i | ||||
\(631\) | 44.2517i | 0.0701294i | 0.999385 | + | 0.0350647i | \(0.0111637\pi\) | ||||
−0.999385 | + | 0.0350647i | \(0.988836\pi\) | |||||||
\(632\) | 138.686 | + | 235.589i | 0.219440 | + | 0.372767i | ||||
\(633\) | −203.366 | −0.321274 | ||||||||
\(634\) | 59.2785 | − | 164.306i | 0.0934993 | − | 0.259158i | ||||
\(635\) | − | 9.69880i | − | 0.0152737i | ||||||
\(636\) | −45.8710 | + | 55.2970i | −0.0721242 | + | 0.0869449i | ||||
\(637\) | −30.1224 | −0.0472879 | ||||||||
\(638\) | 649.485 | + | 234.322i | 1.01800 | + | 0.367276i | ||||
\(639\) | 128.331i | 0.200831i | ||||||||
\(640\) | 420.161 | + | 481.123i | 0.656502 | + | 0.751754i | ||||
\(641\) | 323.350 | 0.504446 | 0.252223 | − | 0.967669i | \(-0.418838\pi\) | ||||
0.252223 | + | 0.967669i | \(0.418838\pi\) | |||||||
\(642\) | −221.545 | + | 614.069i | −0.345085 | + | 0.956493i | ||||
\(643\) | 26.9164i | 0.0418607i | 0.999781 | + | 0.0209304i | \(0.00666283\pi\) | ||||
−0.999781 | + | 0.0209304i | \(0.993337\pi\) | |||||||
\(644\) | −30.8378 | − | 25.5811i | −0.0478848 | − | 0.0397223i | ||||
\(645\) | −585.032 | −0.907026 | ||||||||
\(646\) | −746.057 | − | 269.163i | −1.15489 | − | 0.416662i | ||||
\(647\) | 137.187i | 0.212036i | 0.994364 | + | 0.106018i | \(0.0338101\pi\) | ||||
−0.994364 | + | 0.106018i | \(0.966190\pi\) | |||||||
\(648\) | 62.0472 | − | 36.5260i | 0.0957518 | − | 0.0563672i | ||||
\(649\) | −255.180 | −0.393190 | ||||||||
\(650\) | −0.0443319 | + | 0.122878i | −6.82030e−5 | + | 0.000189042i | ||||
\(651\) | − | 19.9135i | − | 0.0305892i | ||||||
\(652\) | 312.145 | − | 376.287i | 0.478749 | − | 0.577127i | ||||
\(653\) | −882.741 | −1.35182 | −0.675912 | − | 0.736982i | \(-0.736250\pi\) | ||||
−0.675912 | + | 0.736982i | \(0.736250\pi\) | |||||||
\(654\) | 593.185 | + | 214.010i | 0.907011 | + | 0.327233i | ||||
\(655\) | − | 790.702i | − | 1.20718i | ||||||
\(656\) | 27.2116 | + | 144.761i | 0.0414811 | + | 0.220672i | ||||
\(657\) | −295.235 | −0.449369 | ||||||||
\(658\) | 110.375 | − | 305.933i | 0.167743 | − | 0.464943i | ||||
\(659\) | − | 1139.27i | − | 1.72878i | −0.502822 | − | 0.864390i | \(-0.667705\pi\) | ||
0.502822 | − | 0.864390i | \(-0.332295\pi\) | |||||||
\(660\) | 512.410 | + | 425.064i | 0.776379 | + | 0.644036i | ||||
\(661\) | −774.624 | −1.17190 | −0.585948 | − | 0.810348i | \(-0.699278\pi\) | ||||
−0.585948 | + | 0.810348i | \(0.699278\pi\) | |||||||
\(662\) | −569.644 | − | 205.517i | −0.860489 | − | 0.310449i | ||||
\(663\) | − | 17.5260i | − | 0.0264344i | ||||||
\(664\) | 369.323 | + | 627.373i | 0.556209 | + | 0.944840i | ||||
\(665\) | 275.658 | 0.414523 | ||||||||
\(666\) | −18.3178 | + | 50.7725i | −0.0275042 | + | 0.0762350i | ||||
\(667\) | − | 85.9807i | − | 0.128907i | ||||||
\(668\) | 84.7005 | − | 102.106i | 0.126797 | − | 0.152853i | ||||
\(669\) | 223.598 | 0.334227 | ||||||||
\(670\) | −366.654 | − | 132.282i | −0.547246 | − | 0.197436i | ||||
\(671\) | − | 329.224i | − | 0.490647i | ||||||
\(672\) | −114.277 | − | 18.4936i | −0.170056 | − | 0.0275202i | ||||
\(673\) | 1324.64 | 1.96826 | 0.984132 | − | 0.177440i | \(-0.0567816\pi\) | ||||
0.984132 | + | 0.177440i | \(0.0567816\pi\) | |||||||
\(674\) | −166.568 | + | 461.686i | −0.247133 | + | 0.684994i | ||||
\(675\) | 0.502929i | 0.000745080i | ||||||||
\(676\) | 518.885 | + | 430.435i | 0.767582 | + | 0.636739i | ||||
\(677\) | 531.553 | 0.785160 | 0.392580 | − | 0.919718i | \(-0.371583\pi\) | ||||
0.392580 | + | 0.919718i | \(0.371583\pi\) | |||||||
\(678\) | −492.391 | − | 177.646i | −0.726241 | − | 0.262014i | ||||
\(679\) | − | 34.5968i | − | 0.0509525i | ||||||
\(680\) | 515.870 | − | 303.683i | 0.758633 | − | 0.446592i | ||||
\(681\) | 706.051 | 1.03679 | ||||||||
\(682\) | −71.9451 | + | 199.415i | −0.105491 | + | 0.292397i | ||||
\(683\) | − | 1248.41i | − | 1.82783i | −0.405901 | − | 0.913917i | \(-0.633042\pi\) | ||
0.405901 | − | 0.913917i | \(-0.366958\pi\) | |||||||
\(684\) | −202.625 | + | 244.263i | −0.296236 | + | 0.357109i | ||||
\(685\) | 200.819 | 0.293166 | ||||||||
\(686\) | 367.936 | + | 132.745i | 0.536350 | + | 0.193505i | ||||
\(687\) | − | 111.608i | − | 0.162457i | ||||||
\(688\) | −1064.32 | + | 200.066i | −1.54697 | + | 0.290793i | ||||
\(689\) | 6.99798 | 0.0101567 | ||||||||
\(690\) | 28.1356 | − | 77.9851i | 0.0407762 | − | 0.113022i | ||||
\(691\) | 951.553i | 1.37707i | 0.725205 | + | 0.688533i | \(0.241745\pi\) | ||||
−0.725205 | + | 0.688533i | \(0.758255\pi\) | |||||||
\(692\) | 824.081 | + | 683.606i | 1.19087 | + | 0.987870i | ||||
\(693\) | −120.658 | −0.174110 | ||||||||
\(694\) | 392.938 | + | 141.765i | 0.566193 | + | 0.204272i | ||||
\(695\) | − | 955.787i | − | 1.37523i | ||||||
\(696\) | −126.025 | − | 214.081i | −0.181070 | − | 0.307587i | ||||
\(697\) | 138.040 | 0.198049 | ||||||||
\(698\) | −331.690 | + | 919.365i | −0.475200 | + | 1.31714i | ||||
\(699\) | 364.597i | 0.521598i | ||||||||
\(700\) | 0.516274 | − | 0.622364i | 0.000737535 | − | 0.000889091i | ||||
\(701\) | 1037.32 | 1.47977 | 0.739884 | − | 0.672735i | \(-0.234880\pi\) | ||||
0.739884 | + | 0.672735i | \(0.234880\pi\) | |||||||
\(702\) | −6.59675 | − | 2.37998i | −0.00939708 | − | 0.00339029i | ||||
\(703\) | − | 237.918i | − | 0.338432i | ||||||
\(704\) | 1077.56 | + | 598.064i | 1.53063 | + | 0.849523i | ||||
\(705\) | 672.964 | 0.954558 | ||||||||
\(706\) | 132.831 | − | 368.177i | 0.188147 | − | 0.521497i | ||||
\(707\) | − | 281.234i | − | 0.397785i | ||||||
\(708\) | 70.6629 | + | 58.6176i | 0.0998064 | + | 0.0827932i | ||||
\(709\) | 602.919 | 0.850380 | 0.425190 | − | 0.905104i | \(-0.360207\pi\) | ||||
0.425190 | + | 0.905104i | \(0.360207\pi\) | |||||||
\(710\) | 401.604 | + | 144.891i | 0.565639 | + | 0.204072i | ||||
\(711\) | − | 102.517i | − | 0.144187i | ||||||
\(712\) | 766.532 | − | 451.243i | 1.07659 | − | 0.633768i | ||||
\(713\) | 26.3991 | 0.0370254 | ||||||||
\(714\) | −36.8180 | + | 102.051i | −0.0515659 | + | 0.142928i | ||||
\(715\) | − | 64.8469i | − | 0.0906949i | ||||||
\(716\) | 222.111 | − | 267.752i | 0.310210 | − | 0.373955i | ||||
\(717\) | 684.318 | 0.954418 | ||||||||
\(718\) | −626.929 | − | 226.185i | −0.873161 | − | 0.315020i | ||||
\(719\) | − | 657.005i | − | 0.913776i | −0.889524 | − | 0.456888i | \(-0.848964\pi\) | ||
0.889524 | − | 0.456888i | \(-0.151036\pi\) | |||||||
\(720\) | −44.2518 | − | 235.412i | −0.0614608 | − | 0.326961i | ||||
\(721\) | −262.315 | −0.363820 | ||||||||
\(722\) | 229.722 | − | 636.733i | 0.318174 | − | 0.881902i | ||||
\(723\) | 306.618i | 0.424091i | ||||||||
\(724\) | 267.758 | + | 222.116i | 0.369832 | + | 0.306790i | ||||
\(725\) | 1.73525 | 0.00239345 | ||||||||
\(726\) | 813.993 | + | 293.674i | 1.12120 | + | 0.404509i | ||||
\(727\) | − | 799.112i | − | 1.09919i | −0.835431 | − | 0.549596i | \(-0.814782\pi\) | ||
0.835431 | − | 0.549596i | \(-0.185218\pi\) | |||||||
\(728\) | 5.72020 | + | 9.71698i | 0.00785741 | + | 0.0133475i | ||||
\(729\) | −27.0000 | −0.0370370 | ||||||||
\(730\) | −333.333 | + | 923.919i | −0.456620 | + | 1.26564i | ||||
\(731\) | 1014.90i | 1.38838i | ||||||||
\(732\) | −75.6263 | + | 91.1667i | −0.103315 | + | 0.124545i | ||||
\(733\) | 94.9997 | 0.129604 | 0.0648020 | − | 0.997898i | \(-0.479358\pi\) | ||||
0.0648020 | + | 0.997898i | \(0.479358\pi\) | |||||||
\(734\) | −408.923 | − | 147.532i | −0.557116 | − | 0.200997i | ||||
\(735\) | 385.824i | 0.524930i | ||||||||
\(736\) | 24.5166 | − | 151.496i | 0.0333106 | − | 0.205836i | ||||
\(737\) | −752.043 | −1.02041 | ||||||||
\(738\) | 18.7455 | − | 51.9581i | 0.0254004 | − | 0.0704039i | ||||
\(739\) | 430.276i | 0.582241i | 0.956686 | + | 0.291120i | \(0.0940281\pi\) | ||||
−0.956686 | + | 0.291120i | \(0.905972\pi\) | |||||||
\(740\) | 138.208 | + | 114.649i | 0.186767 | + | 0.154931i | ||||
\(741\) | 30.9121 | 0.0417167 | ||||||||
\(742\) | −40.7480 | − | 14.7011i | −0.0549165 | − | 0.0198129i | ||||
\(743\) | − | 432.271i | − | 0.581791i | −0.956755 | − | 0.290896i | \(-0.906047\pi\) | ||
0.956755 | − | 0.290896i | \(-0.0939532\pi\) | |||||||
\(744\) | 65.7302 | − | 38.6941i | 0.0883471 | − | 0.0520082i | ||||
\(745\) | 396.475 | 0.532181 | ||||||||
\(746\) | 261.180 | − | 723.928i | 0.350107 | − | 0.970413i | ||||
\(747\) | − | 273.003i | − | 0.365466i | ||||||
\(748\) | 737.393 | − | 888.920i | 0.985820 | − | 1.18840i | ||||
\(749\) | −393.604 | −0.525507 | ||||||||
\(750\) | 408.099 | + | 147.235i | 0.544132 | + | 0.196313i | ||||
\(751\) | − | 1285.16i | − | 1.71127i | −0.517581 | − | 0.855634i | \(-0.673167\pi\) | ||
0.517581 | − | 0.855634i | \(-0.326833\pi\) | |||||||
\(752\) | 1224.29 | − | 230.136i | 1.62804 | − | 0.306032i | ||||
\(753\) | 272.629 | 0.362058 | ||||||||
\(754\) | −8.21163 | + | 22.7607i | −0.0108907 | + | 0.0301866i | ||||
\(755\) | − | 605.557i | − | 0.802062i | ||||||
\(756\) | 33.4119 | + | 27.7165i | 0.0441957 | + | 0.0366620i | ||||
\(757\) | 308.267 | 0.407221 | 0.203611 | − | 0.979052i | \(-0.434732\pi\) | ||||
0.203611 | + | 0.979052i | \(0.434732\pi\) | |||||||
\(758\) | −1242.04 | − | 448.106i | −1.63858 | − | 0.591169i | ||||
\(759\) | − | 159.955i | − | 0.210744i | ||||||
\(760\) | 535.632 | + | 909.885i | 0.704778 | + | 1.19722i | ||||
\(761\) | 827.959 | 1.08799 | 0.543994 | − | 0.839089i | \(-0.316911\pi\) | ||||
0.543994 | + | 0.839089i | \(0.316911\pi\) | |||||||
\(762\) | −2.28483 | + | 6.33301i | −0.00299847 | + | 0.00831104i | ||||
\(763\) | 380.219i | 0.498321i | ||||||||
\(764\) | −116.040 | + | 139.886i | −0.151885 | + | 0.183096i | ||||
\(765\) | −224.482 | −0.293441 | ||||||||
\(766\) | −454.412 | − | 163.943i | −0.593227 | − | 0.214025i | ||||
\(767\) | − | 8.94258i | − | 0.0116592i | ||||||
\(768\) | −161.010 | − | 413.139i | −0.209648 | − | 0.537942i | ||||
\(769\) | −1507.08 | −1.95979 | −0.979895 | − | 0.199513i | \(-0.936064\pi\) | ||||
−0.979895 | + | 0.199513i | \(0.936064\pi\) | |||||||
\(770\) | −136.228 | + | 377.592i | −0.176920 | + | 0.490379i | ||||
\(771\) | 179.878i | 0.233305i | ||||||||
\(772\) | 957.107 | + | 793.957i | 1.23978 | + | 1.02844i | ||||
\(773\) | 607.788 | 0.786272 | 0.393136 | − | 0.919480i | \(-0.371390\pi\) | ||||
0.393136 | + | 0.919480i | \(0.371390\pi\) | |||||||
\(774\) | 382.008 | + | 137.821i | 0.493550 | + | 0.178064i | ||||
\(775\) | 0.532782i | 0.000687461i | ||||||||
\(776\) | 114.196 | − | 67.2251i | 0.147160 | − | 0.0866303i | ||||
\(777\) | −32.5441 | −0.0418843 | ||||||||
\(778\) | −179.115 | + | 496.464i | −0.230225 | + | 0.638129i | ||||
\(779\) | 243.473i | 0.312546i | ||||||||
\(780\) | −14.8960 | + | 17.9570i | −0.0190974 | + | 0.0230218i | ||||
\(781\) | 823.727 | 1.05471 | ||||||||
\(782\) | −135.287 | − | 48.8091i | −0.173002 | − | 0.0624157i | ||||
\(783\) | 93.1577i | 0.118975i | ||||||||
\(784\) | 131.942 | + | 701.908i | 0.168293 | + | 0.895291i | ||||
\(785\) | 1392.37 | 1.77371 | ||||||||
\(786\) | −186.273 | + | 516.304i | −0.236988 | + | 0.656875i | ||||
\(787\) | 960.229i | 1.22011i | 0.792358 | + | 0.610057i | \(0.208853\pi\) | ||||
−0.792358 | + | 0.610057i | \(0.791147\pi\) | |||||||
\(788\) | −1112.85 | − | 923.150i | −1.41224 | − | 1.17151i | ||||
\(789\) | −844.707 | −1.07061 | ||||||||
\(790\) | −320.820 | − | 115.746i | −0.406101 | − | 0.146514i | ||||
\(791\) | − | 315.612i | − | 0.399004i | ||||||
\(792\) | −234.452 | − | 398.266i | −0.296025 | − | 0.502861i | ||||
\(793\) | 11.5374 | 0.0145490 | ||||||||
\(794\) | −10.3547 | + | 28.7007i | −0.0130412 | + | 0.0361470i | ||||
\(795\) | − | 89.6340i | − | 0.112747i | ||||||
\(796\) | −407.556 | + | 491.304i | −0.512005 | + | 0.617216i | ||||
\(797\) | −1422.73 | −1.78510 | −0.892551 | − | 0.450946i | \(-0.851087\pi\) | ||||
−0.892551 | + | 0.450946i | \(0.851087\pi\) | |||||||
\(798\) | −179.996 | − | 64.9391i | −0.225559 | − | 0.0813774i | ||||
\(799\) | − | 1167.45i | − | 1.46113i | ||||||
\(800\) | 3.05746 | + | 0.494791i | 0.00382183 | + | 0.000618488i | ||||
\(801\) | −333.559 | −0.416428 | ||||||||
\(802\) | 165.207 | − | 457.913i | 0.205993 | − | 0.570964i | ||||
\(803\) | 1895.04i | 2.35996i | ||||||||
\(804\) | 208.251 | + | 172.752i | 0.259019 | + | 0.214866i | ||||
\(805\) | 49.9867 | 0.0620953 | ||||||||
\(806\) | −6.98832 | − | 2.52126i | −0.00867038 | − | 0.00312811i | ||||
\(807\) | 422.446i | 0.523477i | ||||||||
\(808\) | 928.291 | − | 546.467i | 1.14888 | − | 0.676321i | ||||
\(809\) | 161.089 | 0.199121 | 0.0995603 | − | 0.995032i | \(-0.468256\pi\) | ||||
0.0995603 | + | 0.995032i | \(0.468256\pi\) | |||||||
\(810\) | −30.4841 | + | 84.4947i | −0.0376347 | + | 0.104314i | ||||
\(811\) | − | 837.550i | − | 1.03274i | −0.856366 | − | 0.516369i | \(-0.827283\pi\) | ||
0.856366 | − | 0.516369i | \(-0.172717\pi\) | |||||||
\(812\) | 95.6298 | − | 115.281i | 0.117771 | − | 0.141971i | ||||
\(813\) | 375.866 | 0.462320 | ||||||||
\(814\) | 325.897 | + | 117.578i | 0.400365 | + | 0.144444i | ||||
\(815\) | 609.945i | 0.748398i | ||||||||
\(816\) | −408.389 | + | 76.7672i | −0.500476 | + | 0.0940774i | ||||
\(817\) | −1790.07 | −2.19103 | ||||||||
\(818\) | −99.6640 | + | 276.245i | −0.121839 | + | 0.337708i | ||||
\(819\) | − | 4.22837i | − | 0.00516284i | ||||||
\(820\) | −141.435 | − | 117.326i | −0.172482 | − | 0.143080i | ||||
\(821\) | −196.002 | −0.238735 | −0.119368 | − | 0.992850i | \(-0.538087\pi\) | ||||
−0.119368 | + | 0.992850i | \(0.538087\pi\) | |||||||
\(822\) | −131.128 | − | 47.3086i | −0.159523 | − | 0.0575531i | ||||
\(823\) | 824.575i | 1.00191i | 0.865472 | + | 0.500957i | \(0.167018\pi\) | ||||
−0.865472 | + | 0.500957i | \(0.832982\pi\) | |||||||
\(824\) | −509.705 | − | 865.842i | −0.618573 | − | 1.05078i | ||||
\(825\) | 3.22818 | 0.00391295 | ||||||||
\(826\) | −18.7863 | + | 52.0711i | −0.0227437 | + | 0.0630401i | ||||
\(827\) | 1329.58i | 1.60772i | 0.594818 | + | 0.803860i | \(0.297224\pi\) | ||||
−0.594818 | + | 0.803860i | \(0.702776\pi\) | |||||||
\(828\) | −36.7433 | + | 44.2937i | −0.0443760 | + | 0.0534948i | ||||
\(829\) | −1321.65 | −1.59427 | −0.797136 | − | 0.603799i | \(-0.793653\pi\) | ||||
−0.797136 | + | 0.603799i | \(0.793653\pi\) | |||||||
\(830\) | −854.346 | − | 308.232i | −1.02933 | − | 0.371364i | ||||
\(831\) | 388.318i | 0.467290i | ||||||||
\(832\) | −20.9587 | + | 37.7622i | −0.0251907 | + | 0.0453873i | ||||
\(833\) | 669.321 | 0.803506 | ||||||||
\(834\) | −225.163 | + | 624.099i | −0.269980 | + | 0.748320i | ||||
\(835\) | 165.509i | 0.198214i | ||||||||
\(836\) | 1567.86 | + | 1300.60i | 1.87544 | + | 1.55575i | ||||
\(837\) | −28.6027 | −0.0341729 | ||||||||
\(838\) | 1044.40 | + | 376.800i | 1.24630 | + | 0.449642i | ||||
\(839\) | − | 1041.21i | − | 1.24102i | −0.784200 | − | 0.620508i | \(-0.786927\pi\) | ||
0.784200 | − | 0.620508i | \(-0.213073\pi\) | |||||||
\(840\) | 124.460 | − | 73.2674i | 0.148167 | − | 0.0872231i | ||||
\(841\) | −519.579 | −0.617811 | ||||||||
\(842\) | 284.008 | − | 787.203i | 0.337302 | − | 0.934921i | ||||
\(843\) | − | 227.730i | − | 0.270142i | ||||||
\(844\) | 299.855 | − | 361.472i | 0.355278 | − | 0.428285i | ||||
\(845\) | −841.090 | −0.995373 | ||||||||
\(846\) | −439.424 | − | 158.536i | −0.519414 | − | 0.187395i | ||||
\(847\) | 521.752i | 0.616000i | ||||||||
\(848\) | −30.6525 | − | 163.066i | −0.0361468 | − | 0.192295i | ||||
\(849\) | 112.873 | 0.132948 | ||||||||
\(850\) | 0.985057 | − | 2.73034i | 0.00115889 | − | 0.00321217i | ||||
\(851\) | − | 43.1432i | − | 0.0506970i | ||||||
\(852\) | −228.101 | − | 189.219i | −0.267724 | − | 0.222088i | ||||
\(853\) | 1187.52 | 1.39216 | 0.696082 | − | 0.717963i | \(-0.254925\pi\) | ||||
0.696082 | + | 0.717963i | \(0.254925\pi\) | |||||||
\(854\) | −67.1802 | − | 24.2374i | −0.0786654 | − | 0.0283810i | ||||
\(855\) | − | 395.939i | − | 0.463086i | ||||||
\(856\) | −764.815 | − | 1299.20i | −0.893475 | − | 1.51776i | ||||
\(857\) | 1210.00 | 1.41190 | 0.705952 | − | 0.708260i | \(-0.250520\pi\) | ||||
0.705952 | + | 0.708260i | \(0.250520\pi\) | |||||||
\(858\) | −15.2766 | + | 42.3430i | −0.0178048 | + | 0.0493508i | ||||
\(859\) | 164.933i | 0.192006i | 0.995381 | + | 0.0960030i | \(0.0306058\pi\) | ||||
−0.995381 | + | 0.0960030i | \(0.969394\pi\) | |||||||
\(860\) | 862.605 | − | 1039.86i | 1.00303 | − | 1.20914i | ||||
\(861\) | 33.3040 | 0.0386806 | ||||||||
\(862\) | −824.792 | − | 297.570i | −0.956835 | − | 0.345208i | ||||
\(863\) | 48.6999i | 0.0564309i | 0.999602 | + | 0.0282155i | \(0.00898245\pi\) | ||||
−0.999602 | + | 0.0282155i | \(0.991018\pi\) | |||||||
\(864\) | −26.5631 | + | 164.141i | −0.0307443 | + | 0.189978i | ||||
\(865\) | −1335.80 | −1.54428 | ||||||||
\(866\) | −57.5857 | + | 159.614i | −0.0664962 | + | 0.184312i | ||||
\(867\) | − | 111.135i | − | 0.128183i | ||||||
\(868\) | 35.3952 | + | 29.3617i | 0.0407779 | + | 0.0338268i | ||||
\(869\) | −658.032 | −0.757229 | ||||||||
\(870\) | 291.531 | + | 105.179i | 0.335093 | + | 0.120895i | ||||
\(871\) | − | 26.3547i | − | 0.0302580i | ||||||
\(872\) | −1255.02 | + | 738.805i | −1.43924 | + | 0.847253i | ||||
\(873\) | −49.6928 | −0.0569219 | ||||||||
\(874\) | 86.0888 | − | 238.618i | 0.0984998 | − | 0.273018i | ||||
\(875\) | 261.583i | 0.298952i | ||||||||
\(876\) | 435.312 | − | 524.764i | 0.496931 | − | 0.599046i | ||||
\(877\) | −293.643 | −0.334827 | −0.167413 | − | 0.985887i | \(-0.553541\pi\) | ||||
−0.167413 | + | 0.985887i | \(0.553541\pi\) | |||||||
\(878\) | 560.013 | + | 202.042i | 0.637829 | + | 0.230117i | ||||
\(879\) | 945.158i | 1.07527i | ||||||||
\(880\) | −1511.05 | + | 284.042i | −1.71711 | + | 0.322774i | ||||
\(881\) | 619.053 | 0.702671 | 0.351335 | − | 0.936250i | \(-0.385728\pi\) | ||||
0.351335 | + | 0.936250i | \(0.385728\pi\) | |||||||
\(882\) | 90.8920 | − | 251.931i | 0.103052 | − | 0.285636i | ||||
\(883\) | − | 145.438i | − | 0.164709i | −0.996603 | − | 0.0823545i | \(-0.973756\pi\) | ||
0.996603 | − | 0.0823545i | \(-0.0262440\pi\) | |||||||
\(884\) | 31.1515 | + | 25.8413i | 0.0352392 | + | 0.0292323i | ||||
\(885\) | −114.541 | −0.129425 | ||||||||
\(886\) | −673.343 | − | 242.930i | −0.759980 | − | 0.274187i | ||||
\(887\) | 1437.98i | 1.62118i | 0.585617 | + | 0.810588i | \(0.300852\pi\) | ||||
−0.585617 | + | 0.810588i | \(0.699148\pi\) | |||||||
\(888\) | −63.2365 | − | 107.421i | −0.0712123 | − | 0.120969i | ||||
\(889\) | −4.05932 | −0.00456617 | ||||||||
\(890\) | −376.602 | + | 1043.85i | −0.423148 | + | 1.17286i | ||||
\(891\) | 173.307i | 0.194508i | ||||||||
\(892\) | −329.686 | + | 397.433i | −0.369603 | + | 0.445552i | ||||
\(893\) | 2059.12 | 2.30585 | ||||||||
\(894\) | −258.886 | − | 93.4012i | −0.289582 | − | 0.104476i | ||||
\(895\) | 434.014i | 0.484932i | ||||||||
\(896\) | 201.368 | − | 175.854i | 0.224741 | − | 0.196265i | ||||
\(897\) | 5.60548 | 0.00624915 | ||||||||
\(898\) | 432.026 | − | 1197.47i | 0.481098 | − | 1.33349i | ||||
\(899\) | 98.6874i | 0.109775i | ||||||||
\(900\) | −0.893928 | − | 0.741547i | −0.000993253 | − | 0.000823941i | ||||
\(901\) | −155.495 | −0.172581 | ||||||||
\(902\) | −333.507 | − | 120.323i | −0.369741 | − | 0.133396i | ||||
\(903\) | 244.858i | 0.271161i | ||||||||
\(904\) | 1041.77 | − | 613.267i | 1.15240 | − | 0.678393i | ||||
\(905\) | −434.024 | −0.479585 | ||||||||
\(906\) | −142.656 | + | 395.410i | −0.157457 | + | 0.436435i | ||||
\(907\) | − | 1343.43i | − | 1.48118i | −0.671957 | − | 0.740590i | \(-0.734546\pi\) | ||
0.671957 | − | 0.740590i | \(-0.265454\pi\) | |||||||
\(908\) | −1041.04 | + | 1254.97i | −1.14652 | + | 1.38212i | ||||
\(909\) | −403.948 | −0.444388 | ||||||||
\(910\) | −13.2324 | − | 4.77401i | −0.0145411 | − | 0.00524616i | ||||
\(911\) | 458.672i | 0.503482i | 0.967795 | + | 0.251741i | \(0.0810031\pi\) | ||||
−0.967795 | + | 0.251741i | \(0.918997\pi\) | |||||||
\(912\) | −135.401 | − | 720.310i | −0.148466 | − | 0.789814i | ||||
\(913\) | −1752.34 | −1.91932 | ||||||||
\(914\) | 226.424 | − | 627.593i | 0.247729 | − | 0.686645i | ||||
\(915\) | − | 147.777i | − | 0.161505i | ||||||
\(916\) | 198.377 | + | 164.561i | 0.216569 | + | 0.179652i | ||||
\(917\) | −330.939 | −0.360893 | ||||||||
\(918\) | 146.580 | + | 52.8833i | 0.159673 | + | 0.0576071i | ||||
\(919\) | 591.909i | 0.644079i | 0.946726 | + | 0.322039i | \(0.104368\pi\) | ||||
−0.946726 | + | 0.322039i | \(0.895632\pi\) | |||||||
\(920\) | 97.1294 | + | 164.995i | 0.105575 | + | 0.179343i | ||||
\(921\) | −357.996 | −0.388704 | ||||||||
\(922\) | 360.195 | − | 998.375i | 0.390667 | − | 1.08284i | ||||
\(923\) | 28.8668i | 0.0312750i | ||||||||
\(924\) | 177.906 | − | 214.463i | 0.192538 | − | 0.232103i | ||||
\(925\) | 0.870708 | 0.000941306 | ||||||||
\(926\) | −1149.11 | − | 414.579i | −1.24094 | − | 0.447709i | ||||
\(927\) | 376.774i | 0.406444i | ||||||||
\(928\) | 566.335 | + | 91.6503i | 0.610275 | + | 0.0987611i | ||||
\(929\) | −1095.68 | −1.17942 | −0.589709 | − | 0.807616i | \(-0.700758\pi\) | ||||
−0.589709 | + | 0.807616i | \(0.700758\pi\) | |||||||
\(930\) | −32.2936 | + | 89.5102i | −0.0347243 | + | 0.0962476i | ||||
\(931\) | 1180.54i | 1.26803i | ||||||||
\(932\) | −648.050 | − | 537.583i | −0.695333 | − | 0.576805i | ||||
\(933\) | 656.141 | 0.703260 | ||||||||
\(934\) | −296.932 | − | 107.127i | −0.317914 | − | 0.114698i | ||||
\(935\) | 1440.90i | 1.54107i | ||||||||
\(936\) | 13.9569 | − | 8.21616i | 0.0149112 | − | 0.00877795i | ||||
\(937\) | 6.31450 | 0.00673906 | 0.00336953 | − | 0.999994i | \(-0.498927\pi\) | ||||
0.00336953 | + | 0.999994i | \(0.498927\pi\) | |||||||
\(938\) | −55.3652 | + | 153.459i | −0.0590247 | + | 0.163602i | ||||
\(939\) | − | 822.791i | − | 0.876242i | ||||||
\(940\) | −992.256 | + | 1196.16i | −1.05559 | + | 1.27251i | ||||
\(941\) | 1385.68 | 1.47256 | 0.736281 | − | 0.676676i | \(-0.236580\pi\) | ||||
0.736281 | + | 0.676676i | \(0.236580\pi\) | |||||||
\(942\) | −909.172 | − | 328.012i | −0.965150 | − | 0.348208i | ||||
\(943\) | 44.1506i | 0.0468193i | ||||||||
\(944\) | −208.379 | + | 39.1702i | −0.220740 | + | 0.0414939i | ||||
\(945\) | −54.1593 | −0.0573114 | ||||||||
\(946\) | 884.642 | − | 2452.02i | 0.935140 | − | 2.59198i | ||||
\(947\) | − | 1188.25i | − | 1.25475i | −0.778719 | − | 0.627373i | \(-0.784130\pi\) | ||
0.778719 | − | 0.627373i | \(-0.215870\pi\) | |||||||
\(948\) | 182.218 | + | 151.157i | 0.192213 | + | 0.159448i | ||||
\(949\) | −66.4103 | −0.0699792 | ||||||||
\(950\) | 4.81574 | + | 1.73743i | 0.00506920 | + | 0.00182887i | ||||
\(951\) | − | 151.271i | − | 0.159065i | ||||||
\(952\) | −127.103 | − | 215.912i | −0.133512 | − | 0.226798i | ||||
\(953\) | −300.811 | −0.315647 | −0.157823 | − | 0.987467i | \(-0.550448\pi\) | ||||
−0.157823 | + | 0.987467i | \(0.550448\pi\) | |||||||
\(954\) | −21.1159 | + | 58.5282i | −0.0221340 | + | 0.0613503i | ||||
\(955\) | − | 226.748i | − | 0.237433i | ||||||
\(956\) | −1009.00 | + | 1216.34i | −1.05544 | + | 1.27232i | ||||
\(957\) | 597.957 | 0.624825 | ||||||||
\(958\) | −1438.11 | − | 518.845i | −1.50116 | − | 0.541591i | ||||
\(959\) | − | 84.0503i | − | 0.0876437i | ||||||
\(960\) | 483.679 | + | 268.450i | 0.503832 | + | 0.279635i | ||||
\(961\) | 930.699 | 0.968470 | ||||||||
\(962\) | −4.12041 | + | 11.4208i | −0.00428317 | + | 0.0118719i | ||||
\(963\) | 565.351i | 0.587073i | ||||||||
\(964\) | −544.996 | − | 452.095i | −0.565349 | − | 0.468978i | ||||
\(965\) | −1551.43 | −1.60770 | ||||||||
\(966\) | −32.6398 | − | 11.7758i | −0.0337886 | − | 0.0121903i | ||||
\(967\) | − | 1195.10i | − | 1.23588i | −0.786224 | − | 0.617941i | \(-0.787967\pi\) | ||
0.786224 | − | 0.617941i | \(-0.212033\pi\) | |||||||
\(968\) | −1722.19 | + | 1013.82i | −1.77912 | + | 1.04733i | ||||
\(969\) | −686.868 | −0.708842 | ||||||||
\(970\) | −56.1053 | + | 155.510i | −0.0578405 | + | 0.160320i | ||||
\(971\) | 330.658i | 0.340533i | 0.985398 | + | 0.170267i | \(0.0544629\pi\) | ||||
−0.985398 | + | 0.170267i | \(0.945537\pi\) | |||||||
\(972\) | 39.8104 | − | 47.9910i | 0.0409572 | − | 0.0493734i | ||||
\(973\) | −400.034 | −0.411134 | ||||||||
\(974\) | −314.231 | − | 113.369i | −0.322619 | − | 0.116395i | ||||
\(975\) | 0.113129i | 0.000116030i | ||||||||
\(976\) | −50.5360 | − | 268.843i | −0.0517786 | − | 0.275454i | ||||
\(977\) | 1755.78 | 1.79711 | 0.898556 | − | 0.438859i | \(-0.144617\pi\) | ||||
0.898556 | + | 0.438859i | \(0.144617\pi\) | |||||||
\(978\) | 143.690 | − | 398.275i | 0.146922 | − | 0.407234i | ||||
\(979\) | 2141.03i | 2.18696i | ||||||||
\(980\) | −685.780 | − | 568.881i | −0.699776 | − | 0.580491i | ||||
\(981\) | 546.124 | 0.556702 | ||||||||
\(982\) | −242.595 | − | 87.5238i | −0.247042 | − | 0.0891281i | ||||
\(983\) | 1344.70i | 1.36796i | 0.729503 | + | 0.683978i | \(0.239752\pi\) | ||||
−0.729503 | + | 0.683978i | \(0.760248\pi\) | |||||||
\(984\) | 64.7131 | + | 109.929i | 0.0657653 | + | 0.111717i | ||||
\(985\) | 1803.88 | 1.83135 | ||||||||
\(986\) | 182.463 | − | 505.743i | 0.185053 | − | 0.512924i | ||||
\(987\) | − | 281.661i | − | 0.285371i | ||||||
\(988\) | −45.5786 | + | 54.9445i | −0.0461322 | + | 0.0556119i | ||||
\(989\) | −324.605 | −0.328215 | ||||||||
\(990\) | 542.352 | + | 195.670i | 0.547830 | + | 0.197647i | ||||
\(991\) | 114.991i | 0.116035i | 0.998316 | + | 0.0580175i | \(0.0184779\pi\) | ||||
−0.998316 | + | 0.0580175i | \(0.981522\pi\) | |||||||
\(992\) | −28.1399 | + | 173.885i | −0.0283668 | + | 0.175287i | ||||
\(993\) | −524.451 | −0.528148 | ||||||||
\(994\) | 60.6425 | − | 168.087i | 0.0610086 | − | 0.169101i | ||||
\(995\) | − | 796.382i | − | 0.800384i | ||||||
\(996\) | 485.248 | + | 402.532i | 0.487197 | + | 0.404148i | ||||
\(997\) | 1581.80 | 1.58656 | 0.793282 | − | 0.608855i | \(-0.208371\pi\) | ||||
0.793282 | + | 0.608855i | \(0.208371\pi\) | |||||||
\(998\) | 861.886 | + | 310.953i | 0.863614 | + | 0.311576i | ||||
\(999\) | 46.7444i | 0.0467912i |
(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 | 276.3.f.b.139.14 | yes | 40 | |
4.3 | odd | 2 | inner | 276.3.f.b.139.13 | ✓ | 40 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
276.3.f.b.139.13 | ✓ | 40 | 4.3 | odd | 2 | inner | |
276.3.f.b.139.14 | yes | 40 | 1.1 | even | 1 | trivial |