Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [105,3,Mod(44,105)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(105, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 3, 2]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("105.44");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 105 = 3 \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 105.o (of order \(6\), degree \(2\), 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: | \(2.86104277578\) |
Analytic rank: | \(0\) |
Dimension: | \(40\) |
Relative dimension: | \(20\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 44.20 | ||
Character | \(\chi\) | \(=\) | 105.44 |
Dual form | 105.3.o.b.74.20 |
$q$-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 \(\left(\mathbb{Z}/105\mathbb{Z}\right)^\times\).
\(n\) | \(22\) | \(31\) | \(71\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{3}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.85988 | − | 3.22141i | 0.929941 | − | 1.61071i | 0.146526 | − | 0.989207i | \(-0.453191\pi\) |
0.783415 | − | 0.621499i | \(-0.213476\pi\) | |||||||
\(3\) | 2.47330 | − | 1.69788i | 0.824434 | − | 0.565959i | ||||
\(4\) | −4.91833 | − | 8.51879i | −1.22958 | − | 2.12970i | ||||
\(5\) | 0.0731607 | + | 4.99946i | 0.0146321 | + | 0.999893i | ||||
\(6\) | −0.869509 | − | 11.1254i | −0.144918 | − | 1.85423i | ||||
\(7\) | 4.87678 | + | 5.02166i | 0.696682 | + | 0.717380i | ||||
\(8\) | −21.7110 | −2.71387 | ||||||||
\(9\) | 3.23443 | − | 8.39872i | 0.359381 | − | 0.933191i | ||||
\(10\) | 16.2414 | + | 9.06274i | 1.62414 | + | 0.906274i | ||||
\(11\) | −10.0814 | + | 5.82052i | −0.916494 | + | 0.529138i | −0.882515 | − | 0.470284i | \(-0.844151\pi\) |
−0.0339793 | + | 0.999423i | \(0.510818\pi\) | |||||||
\(12\) | −26.6283 | − | 12.7188i | −2.21903 | − | 1.05990i | ||||
\(13\) | 9.22710i | 0.709777i | 0.934909 | + | 0.354888i | \(0.115481\pi\) | ||||
−0.934909 | + | 0.354888i | \(0.884519\pi\) | |||||||
\(14\) | 25.2471 | − | 6.37041i | 1.80336 | − | 0.455029i | ||||
\(15\) | 8.66942 | + | 12.2410i | 0.577961 | + | 0.816064i | ||||
\(16\) | −20.7066 | + | 35.8648i | −1.29416 | + | 2.24155i | ||||
\(17\) | 1.56346 | + | 2.70799i | 0.0919682 | + | 0.159294i | 0.908339 | − | 0.418234i | \(-0.137351\pi\) |
−0.816371 | + | 0.577528i | \(0.804018\pi\) | |||||||
\(18\) | −21.0401 | − | 26.0401i | −1.16889 | − | 1.44667i | ||||
\(19\) | 5.39398 | − | 9.34265i | 0.283894 | − | 0.491719i | −0.688447 | − | 0.725287i | \(-0.741707\pi\) |
0.972340 | + | 0.233569i | \(0.0750403\pi\) | |||||||
\(20\) | 42.2296 | − | 25.2122i | 2.11148 | − | 1.26061i | ||||
\(21\) | 20.5879 | + | 4.13990i | 0.980376 | + | 0.197138i | ||||
\(22\) | 43.3019i | 1.96827i | ||||||||
\(23\) | −2.93334 | + | 5.08070i | −0.127537 | + | 0.220900i | −0.922722 | − | 0.385467i | \(-0.874040\pi\) |
0.795185 | + | 0.606367i | \(0.207374\pi\) | |||||||
\(24\) | −53.6978 | + | 36.8625i | −2.23741 | + | 1.53594i | ||||
\(25\) | −24.9893 | + | 0.731528i | −0.999572 | + | 0.0292611i | ||||
\(26\) | 29.7243 | + | 17.1613i | 1.14324 | + | 0.660051i | ||||
\(27\) | −6.26026 | − | 26.2642i | −0.231861 | − | 0.972749i | ||||
\(28\) | 18.7929 | − | 66.2424i | 0.671174 | − | 2.36580i | ||||
\(29\) | − | 38.3541i | − | 1.32256i | −0.750141 | − | 0.661278i | \(-0.770014\pi\) | ||
0.750141 | − | 0.661278i | \(-0.229986\pi\) | |||||||
\(30\) | 55.5573 | − | 5.16102i | 1.85191 | − | 0.172034i | ||||
\(31\) | −15.7425 | − | 27.2669i | −0.507824 | − | 0.879577i | −0.999959 | − | 0.00905794i | \(-0.997117\pi\) |
0.492135 | − | 0.870519i | \(-0.336217\pi\) | |||||||
\(32\) | 33.6016 | + | 58.1996i | 1.05005 | + | 1.81874i | ||||
\(33\) | −15.0519 | + | 31.5129i | −0.456118 | + | 0.954937i | ||||
\(34\) | 11.6314 | 0.342100 | ||||||||
\(35\) | −24.7488 | + | 24.7487i | −0.707109 | + | 0.707105i | ||||
\(36\) | −87.4549 | + | 13.7542i | −2.42930 | + | 0.382060i | ||||
\(37\) | 20.0791 | + | 11.5927i | 0.542678 | + | 0.313315i | 0.746164 | − | 0.665763i | \(-0.231894\pi\) |
−0.203486 | + | 0.979078i | \(0.565227\pi\) | |||||||
\(38\) | −20.0643 | − | 34.7525i | −0.528009 | − | 0.914539i | ||||
\(39\) | 15.6665 | + | 22.8214i | 0.401704 | + | 0.585164i | ||||
\(40\) | −1.58839 | − | 108.543i | −0.0397097 | − | 2.71358i | ||||
\(41\) | 22.7035i | 0.553744i | 0.960907 | + | 0.276872i | \(0.0892978\pi\) | ||||
−0.960907 | + | 0.276872i | \(0.910702\pi\) | |||||||
\(42\) | 51.6274 | − | 58.6223i | 1.22922 | − | 1.39577i | ||||
\(43\) | 29.1447i | 0.677784i | 0.940825 | + | 0.338892i | \(0.110052\pi\) | ||||
−0.940825 | + | 0.338892i | \(0.889948\pi\) | |||||||
\(44\) | 99.1676 | + | 57.2544i | 2.25381 | + | 1.30124i | ||||
\(45\) | 42.2257 | + | 15.5560i | 0.938349 | + | 0.345688i | ||||
\(46\) | 10.9113 | + | 18.8990i | 0.237203 | + | 0.410848i | ||||
\(47\) | 30.0800 | − | 52.1000i | 0.639999 | − | 1.10851i | −0.345433 | − | 0.938443i | \(-0.612268\pi\) |
0.985432 | − | 0.170068i | \(-0.0543987\pi\) | |||||||
\(48\) | 9.68046 | + | 123.862i | 0.201676 | + | 2.58045i | ||||
\(49\) | −1.43408 | + | 48.9790i | −0.0292670 | + | 0.999572i | ||||
\(50\) | −44.1206 | + | 81.8613i | −0.882412 | + | 1.63723i | ||||
\(51\) | 8.46474 | + | 4.04312i | 0.165975 | + | 0.0792768i | ||||
\(52\) | 78.6037 | − | 45.3819i | 1.51161 | − | 0.872728i | ||||
\(53\) | 27.9865 | + | 48.4740i | 0.528047 | + | 0.914604i | 0.999465 | + | 0.0326945i | \(0.0104088\pi\) |
−0.471418 | + | 0.881910i | \(0.656258\pi\) | |||||||
\(54\) | −96.2512 | − | 28.6815i | −1.78243 | − | 0.531139i | ||||
\(55\) | −29.8370 | − | 49.9760i | −0.542492 | − | 0.908654i | ||||
\(56\) | −105.880 | − | 109.025i | −1.89071 | − | 1.94688i | ||||
\(57\) | −2.52173 | − | 32.2655i | −0.0442408 | − | 0.566061i | ||||
\(58\) | −123.554 | − | 71.3342i | −2.13025 | − | 1.22990i | ||||
\(59\) | −23.2367 | + | 13.4157i | −0.393843 | + | 0.227385i | −0.683824 | − | 0.729647i | \(-0.739684\pi\) |
0.289981 | + | 0.957032i | \(0.406351\pi\) | |||||||
\(60\) | 61.6391 | − | 134.058i | 1.02732 | − | 2.23430i | ||||
\(61\) | −19.8501 | + | 34.3814i | −0.325412 | + | 0.563630i | −0.981596 | − | 0.190971i | \(-0.938836\pi\) |
0.656184 | + | 0.754601i | \(0.272170\pi\) | |||||||
\(62\) | −117.117 | −1.88899 | ||||||||
\(63\) | 57.9491 | − | 24.7165i | 0.919827 | − | 0.392325i | ||||
\(64\) | 84.3274 | 1.31762 | ||||||||
\(65\) | −46.1306 | + | 0.675061i | −0.709701 | + | 0.0103856i | ||||
\(66\) | 73.5213 | + | 107.099i | 1.11396 | + | 1.62271i | ||||
\(67\) | −86.4356 | + | 49.9036i | −1.29008 | + | 0.744830i | −0.978669 | − | 0.205444i | \(-0.934136\pi\) |
−0.311414 | + | 0.950274i | \(0.600803\pi\) | |||||||
\(68\) | 15.3792 | − | 26.6376i | 0.226165 | − | 0.391729i | ||||
\(69\) | 1.37136 | + | 17.5466i | 0.0198748 | + | 0.254298i | ||||
\(70\) | 33.6957 | + | 125.756i | 0.481368 | + | 1.79651i | ||||
\(71\) | − | 62.5979i | − | 0.881661i | −0.897590 | − | 0.440830i | \(-0.854684\pi\) | ||
0.897590 | − | 0.440830i | \(-0.145316\pi\) | |||||||
\(72\) | −70.2227 | + | 182.344i | −0.975315 | + | 2.53256i | ||||
\(73\) | −37.5802 | + | 21.6970i | −0.514798 | + | 0.297219i | −0.734804 | − | 0.678280i | \(-0.762726\pi\) |
0.220006 | + | 0.975499i | \(0.429392\pi\) | |||||||
\(74\) | 74.6895 | − | 43.1220i | 1.00932 | − | 0.582730i | ||||
\(75\) | −60.5640 | + | 44.2380i | −0.807520 | + | 0.589840i | ||||
\(76\) | −106.117 | −1.39628 | ||||||||
\(77\) | −78.3936 | − | 22.2401i | −1.01810 | − | 0.288833i | ||||
\(78\) | 102.655 | − | 8.02304i | 1.31609 | − | 0.102859i | ||||
\(79\) | 15.5064 | − | 26.8579i | 0.196284 | − | 0.339974i | −0.751037 | − | 0.660260i | \(-0.770446\pi\) |
0.947321 | + | 0.320287i | \(0.103779\pi\) | |||||||
\(80\) | −180.820 | − | 100.898i | −2.26025 | − | 1.26122i | ||||
\(81\) | −60.0769 | − | 54.3302i | −0.741690 | − | 0.670743i | ||||
\(82\) | 73.1373 | + | 42.2259i | 0.891919 | + | 0.514949i | ||||
\(83\) | 93.5855 | 1.12754 | 0.563768 | − | 0.825933i | \(-0.309351\pi\) | ||||
0.563768 | + | 0.825933i | \(0.309351\pi\) | |||||||
\(84\) | −65.9910 | − | 195.745i | −0.785607 | − | 2.33030i | ||||
\(85\) | −13.4241 | + | 8.01458i | −0.157931 | + | 0.0942891i | ||||
\(86\) | 93.8870 | + | 54.2057i | 1.09171 | + | 0.630299i | ||||
\(87\) | −65.1206 | − | 94.8613i | −0.748512 | − | 1.09036i | ||||
\(88\) | 218.878 | − | 126.369i | 2.48725 | − | 1.43601i | ||||
\(89\) | 34.2984 | + | 19.8022i | 0.385375 | + | 0.222496i | 0.680154 | − | 0.733069i | \(-0.261913\pi\) |
−0.294779 | + | 0.955565i | \(0.595246\pi\) | |||||||
\(90\) | 128.647 | − | 107.094i | 1.42941 | − | 1.18993i | ||||
\(91\) | −46.3353 | + | 44.9985i | −0.509179 | + | 0.494489i | ||||
\(92\) | 57.7086 | 0.627267 | ||||||||
\(93\) | −85.2318 | − | 40.7103i | −0.916471 | − | 0.437745i | ||||
\(94\) | −111.890 | − | 193.800i | −1.19032 | − | 2.06170i | ||||
\(95\) | 47.1029 | + | 26.2835i | 0.495820 | + | 0.276669i | ||||
\(96\) | 181.922 | + | 86.8938i | 1.89503 | + | 0.905144i | ||||
\(97\) | − | 119.768i | − | 1.23472i | −0.786679 | − | 0.617362i | \(-0.788201\pi\) | ||
0.786679 | − | 0.617362i | \(-0.211799\pi\) | |||||||
\(98\) | 155.114 | + | 95.7150i | 1.58280 | + | 0.976683i | ||||
\(99\) | 16.2772 | + | 103.497i | 0.164416 | + | 1.04543i | ||||
\(100\) | 129.137 | + | 209.281i | 1.29137 | + | 2.09281i | ||||
\(101\) | −13.8956 | + | 8.02263i | −0.137580 | + | 0.0794320i | −0.567210 | − | 0.823573i | \(-0.691977\pi\) |
0.429630 | + | 0.903005i | \(0.358644\pi\) | |||||||
\(102\) | 28.7680 | − | 19.7487i | 0.282039 | − | 0.193615i | ||||
\(103\) | 111.510 | + | 64.3802i | 1.08262 | + | 0.625051i | 0.931602 | − | 0.363480i | \(-0.118412\pi\) |
0.151018 | + | 0.988531i | \(0.451745\pi\) | |||||||
\(104\) | − | 200.329i | − | 1.92624i | ||||||
\(105\) | −19.1911 | + | 103.231i | −0.182772 | + | 0.983155i | ||||
\(106\) | 208.206 | 1.96421 | ||||||||
\(107\) | 79.6491 | − | 137.956i | 0.744384 | − | 1.28931i | −0.206099 | − | 0.978531i | \(-0.566077\pi\) |
0.950482 | − | 0.310779i | \(-0.100590\pi\) | |||||||
\(108\) | −192.949 | + | 182.506i | −1.78657 | + | 1.68987i | ||||
\(109\) | −12.9451 | − | 22.4216i | −0.118762 | − | 0.205702i | 0.800515 | − | 0.599313i | \(-0.204559\pi\) |
−0.919277 | + | 0.393610i | \(0.871226\pi\) | |||||||
\(110\) | −216.486 | + | 3.16800i | −1.96806 | + | 0.0288000i | ||||
\(111\) | 69.3445 | − | 5.41965i | 0.624725 | − | 0.0488257i | ||||
\(112\) | −281.082 | + | 70.9234i | −2.50966 | + | 0.633245i | ||||
\(113\) | −127.653 | −1.12967 | −0.564836 | − | 0.825203i | \(-0.691060\pi\) | ||||
−0.564836 | + | 0.825203i | \(0.691060\pi\) | |||||||
\(114\) | −108.631 | − | 51.8865i | −0.952900 | − | 0.455145i | ||||
\(115\) | −25.6154 | − | 14.2934i | −0.222742 | − | 0.124291i | ||||
\(116\) | −326.731 | + | 188.638i | −2.81664 | + | 1.62619i | ||||
\(117\) | 77.4958 | + | 29.8444i | 0.662357 | + | 0.255081i | ||||
\(118\) | 99.8067i | 0.845819i | ||||||||
\(119\) | −5.97396 | + | 21.0574i | −0.0502013 | + | 0.176953i | ||||
\(120\) | −188.222 | − | 265.763i | −1.56851 | − | 2.21469i | ||||
\(121\) | 7.25691 | − | 12.5693i | 0.0599744 | − | 0.103879i | ||||
\(122\) | 73.8378 | + | 127.891i | 0.605228 | + | 1.04829i | ||||
\(123\) | 38.5477 | + | 56.1526i | 0.313396 | + | 0.456525i | ||||
\(124\) | −154.854 | + | 268.215i | −1.24882 | + | 2.16302i | ||||
\(125\) | −5.48548 | − | 124.880i | −0.0438839 | − | 0.999037i | ||||
\(126\) | 28.1566 | − | 232.648i | 0.223465 | − | 1.84641i | ||||
\(127\) | 47.1857i | 0.371541i | 0.982593 | + | 0.185770i | \(0.0594781\pi\) | ||||
−0.982593 | + | 0.185770i | \(0.940522\pi\) | |||||||
\(128\) | 22.4328 | − | 38.8548i | 0.175256 | − | 0.303553i | ||||
\(129\) | 49.4841 | + | 72.0836i | 0.383598 | + | 0.558788i | ||||
\(130\) | −83.6228 | + | 149.861i | −0.643252 | + | 1.15278i | ||||
\(131\) | 126.778 | + | 73.1955i | 0.967773 | + | 0.558744i | 0.898557 | − | 0.438857i | \(-0.144617\pi\) |
0.0692166 | + | 0.997602i | \(0.477950\pi\) | |||||||
\(132\) | 342.482 | − | 26.7669i | 2.59456 | − | 0.202779i | ||||
\(133\) | 73.2208 | − | 18.4753i | 0.550533 | − | 0.138912i | ||||
\(134\) | 371.259i | 2.77059i | ||||||||
\(135\) | 130.849 | − | 33.2194i | 0.969252 | − | 0.246070i | ||||
\(136\) | −33.9442 | − | 58.7931i | −0.249590 | − | 0.432302i | ||||
\(137\) | −82.4265 | − | 142.767i | −0.601653 | − | 1.04209i | −0.992571 | − | 0.121668i | \(-0.961176\pi\) |
0.390917 | − | 0.920426i | \(-0.372158\pi\) | |||||||
\(138\) | 59.0752 | + | 28.2168i | 0.428081 | + | 0.204470i | ||||
\(139\) | 251.524 | 1.80953 | 0.904763 | − | 0.425915i | \(-0.140048\pi\) | ||||
0.904763 | + | 0.425915i | \(0.140048\pi\) | |||||||
\(140\) | 332.551 | + | 89.1079i | 2.37537 | + | 0.636485i | ||||
\(141\) | −14.0626 | − | 179.931i | −0.0997348 | − | 1.27611i | ||||
\(142\) | −201.654 | − | 116.425i | −1.42010 | − | 0.819893i | ||||
\(143\) | −53.7065 | − | 93.0224i | −0.375570 | − | 0.650506i | ||||
\(144\) | 234.244 | + | 289.911i | 1.62670 | + | 2.01327i | ||||
\(145\) | 191.750 | − | 2.80601i | 1.32241 | − | 0.0193518i | ||||
\(146\) | 161.415i | 1.10558i | ||||||||
\(147\) | 79.6134 | + | 123.575i | 0.541588 | + | 0.840644i | ||||
\(148\) | − | 228.066i | − | 1.54099i | ||||||
\(149\) | −208.574 | − | 120.420i | −1.39983 | − | 0.808189i | −0.405451 | − | 0.914117i | \(-0.632886\pi\) |
−0.994374 | + | 0.105927i | \(0.966219\pi\) | |||||||
\(150\) | 29.8669 | + | 277.379i | 0.199113 | + | 1.84919i | ||||
\(151\) | −22.6110 | − | 39.1633i | −0.149741 | − | 0.259360i | 0.781390 | − | 0.624042i | \(-0.214511\pi\) |
−0.931132 | + | 0.364683i | \(0.881177\pi\) | |||||||
\(152\) | −117.109 | + | 202.838i | −0.770451 | + | 1.33446i | ||||
\(153\) | 27.8006 | − | 4.37224i | 0.181703 | − | 0.0285767i | ||||
\(154\) | −217.447 | + | 211.174i | −1.41200 | + | 1.37126i | ||||
\(155\) | 135.168 | − | 80.6991i | 0.872052 | − | 0.520640i | ||||
\(156\) | 117.358 | − | 245.702i | 0.752294 | − | 1.57502i | ||||
\(157\) | 1.63878 | − | 0.946152i | 0.0104381 | − | 0.00602645i | −0.494772 | − | 0.869023i | \(-0.664748\pi\) |
0.505210 | + | 0.862996i | \(0.331415\pi\) | |||||||
\(158\) | −57.6803 | − | 99.9052i | −0.365065 | − | 0.632311i | ||||
\(159\) | 151.522 | + | 72.3732i | 0.952968 | + | 0.455178i | ||||
\(160\) | −288.509 | + | 172.248i | −1.80318 | + | 1.07655i | ||||
\(161\) | −39.8188 | + | 10.0472i | −0.247322 | + | 0.0624050i | ||||
\(162\) | −286.756 | + | 92.4846i | −1.77010 | + | 0.570893i | ||||
\(163\) | −115.997 | − | 66.9711i | −0.711640 | − | 0.410865i | 0.100028 | − | 0.994985i | \(-0.468107\pi\) |
−0.811668 | + | 0.584119i | \(0.801440\pi\) | |||||||
\(164\) | 193.406 | − | 111.663i | 1.17931 | − | 0.680873i | ||||
\(165\) | −158.649 | − | 72.9459i | −0.961509 | − | 0.442097i | ||||
\(166\) | 174.058 | − | 301.477i | 1.04854 | − | 1.81613i | ||||
\(167\) | −23.6454 | −0.141589 | −0.0707945 | − | 0.997491i | \(-0.522553\pi\) | ||||
−0.0707945 | + | 0.997491i | \(0.522553\pi\) | |||||||
\(168\) | −446.983 | − | 89.8813i | −2.66061 | − | 0.535008i | ||||
\(169\) | 83.8607 | 0.496217 | ||||||||
\(170\) | 0.850961 | + | 58.1508i | 0.00500565 | + | 0.342063i | ||||
\(171\) | −61.0198 | − | 75.5207i | −0.356841 | − | 0.441642i | ||||
\(172\) | 248.278 | − | 143.343i | 1.44347 | − | 0.833390i | ||||
\(173\) | −32.5846 | + | 56.4382i | −0.188350 | + | 0.326232i | −0.944700 | − | 0.327935i | \(-0.893647\pi\) |
0.756350 | + | 0.654167i | \(0.226981\pi\) | |||||||
\(174\) | −426.704 | + | 33.3492i | −2.45232 | + | 0.191662i | ||||
\(175\) | −125.541 | − | 121.920i | −0.717376 | − | 0.696687i | ||||
\(176\) | − | 482.092i | − | 2.73916i | ||||||
\(177\) | −34.6931 | + | 72.6342i | −0.196006 | + | 0.410363i | ||||
\(178\) | 127.582 | − | 73.6595i | 0.716752 | − | 0.413817i | ||||
\(179\) | 140.927 | − | 81.3643i | 0.787302 | − | 0.454549i | −0.0517096 | − | 0.998662i | \(-0.516467\pi\) |
0.839012 | + | 0.544113i | \(0.183134\pi\) | |||||||
\(180\) | −75.1618 | − | 436.221i | −0.417565 | − | 2.42345i | ||||
\(181\) | 152.677 | 0.843519 | 0.421759 | − | 0.906708i | \(-0.361413\pi\) | ||||
0.421759 | + | 0.906708i | \(0.361413\pi\) | |||||||
\(182\) | 58.7804 | + | 232.957i | 0.322969 | + | 1.27998i | ||||
\(183\) | 9.28008 | + | 118.739i | 0.0507108 | + | 0.648845i | ||||
\(184\) | 63.6857 | − | 110.307i | 0.346118 | − | 0.599494i | ||||
\(185\) | −56.4881 | + | 101.233i | −0.305341 | + | 0.547204i | ||||
\(186\) | −289.666 | + | 198.850i | −1.55734 | + | 1.06909i | ||||
\(187\) | −31.5238 | − | 18.2003i | −0.168577 | − | 0.0973278i | ||||
\(188\) | −591.772 | −3.14773 | ||||||||
\(189\) | 101.360 | − | 159.522i | 0.536296 | − | 0.844030i | ||||
\(190\) | 172.276 | − | 102.854i | 0.906715 | − | 0.541334i | ||||
\(191\) | 181.527 | + | 104.805i | 0.950403 | + | 0.548716i | 0.893206 | − | 0.449647i | \(-0.148450\pi\) |
0.0571970 | + | 0.998363i | \(0.481784\pi\) | |||||||
\(192\) | 208.567 | − | 143.177i | 1.08629 | − | 0.745716i | ||||
\(193\) | −102.657 | + | 59.2693i | −0.531904 | + | 0.307095i | −0.741791 | − | 0.670631i | \(-0.766023\pi\) |
0.209888 | + | 0.977725i | \(0.432690\pi\) | |||||||
\(194\) | −385.823 | − | 222.755i | −1.98878 | − | 1.14822i | ||||
\(195\) | −112.949 | + | 79.9936i | −0.579223 | + | 0.410224i | ||||
\(196\) | 424.295 | − | 228.678i | 2.16477 | − | 1.16672i | ||||
\(197\) | 159.912 | 0.811735 | 0.405868 | − | 0.913932i | \(-0.366969\pi\) | ||||
0.405868 | + | 0.913932i | \(0.366969\pi\) | |||||||
\(198\) | 363.681 | + | 140.057i | 1.83677 | + | 0.707359i | ||||
\(199\) | 43.3843 | + | 75.1437i | 0.218011 | + | 0.377607i | 0.954200 | − | 0.299170i | \(-0.0967097\pi\) |
−0.736189 | + | 0.676776i | \(0.763376\pi\) | |||||||
\(200\) | 542.542 | − | 15.8822i | 2.71271 | − | 0.0794110i | ||||
\(201\) | −129.051 | + | 270.184i | −0.642045 | + | 1.34420i | ||||
\(202\) | 59.6846i | 0.295468i | ||||||||
\(203\) | 192.601 | − | 187.045i | 0.948775 | − | 0.921402i | ||||
\(204\) | −7.18989 | − | 91.9947i | −0.0352446 | − | 0.450954i | ||||
\(205\) | −113.505 | + | 1.66100i | −0.553685 | + | 0.00810246i | ||||
\(206\) | 414.790 | − | 239.479i | 2.01355 | − | 1.16252i | ||||
\(207\) | 33.1837 | + | 41.0695i | 0.160308 | + | 0.198403i | ||||
\(208\) | −330.928 | − | 191.061i | −1.59100 | − | 0.918564i | ||||
\(209\) | 125.583i | 0.600876i | ||||||||
\(210\) | 296.857 | + | 253.820i | 1.41361 | + | 1.20867i | ||||
\(211\) | −291.368 | −1.38089 | −0.690445 | − | 0.723385i | \(-0.742585\pi\) | ||||
−0.690445 | + | 0.723385i | \(0.742585\pi\) | |||||||
\(212\) | 275.293 | − | 476.822i | 1.29855 | − | 2.24916i | ||||
\(213\) | −106.284 | − | 154.823i | −0.498984 | − | 0.726871i | ||||
\(214\) | −296.276 | − | 513.165i | −1.38447 | − | 2.39797i | ||||
\(215\) | −145.708 | + | 2.13225i | −0.677711 | + | 0.00991742i | ||||
\(216\) | 135.916 | + | 570.222i | 0.629242 | + | 2.63992i | ||||
\(217\) | 60.1521 | − | 212.028i | 0.277198 | − | 0.977088i | ||||
\(218\) | −96.3055 | −0.441768 | ||||||||
\(219\) | −56.1085 | + | 117.470i | −0.256203 | + | 0.536391i | ||||
\(220\) | −278.986 | + | 499.974i | −1.26812 | + | 2.27261i | ||||
\(221\) | −24.9869 | + | 14.4262i | −0.113063 | + | 0.0652769i | ||||
\(222\) | 111.514 | − | 233.467i | 0.502314 | − | 1.05165i | ||||
\(223\) | − | 317.534i | − | 1.42392i | −0.702220 | − | 0.711960i | \(-0.747808\pi\) | ||
0.702220 | − | 0.711960i | \(-0.252192\pi\) | |||||||
\(224\) | −128.391 | + | 452.562i | −0.573175 | + | 2.02037i | ||||
\(225\) | −74.6823 | + | 212.244i | −0.331921 | + | 0.943307i | ||||
\(226\) | −237.419 | + | 411.222i | −1.05053 | + | 1.81957i | ||||
\(227\) | 55.2662 | + | 95.7238i | 0.243463 | + | 0.421691i | 0.961698 | − | 0.274110i | \(-0.0883831\pi\) |
−0.718235 | + | 0.695800i | \(0.755050\pi\) | |||||||
\(228\) | −262.460 | + | 180.174i | −1.15114 | + | 0.790238i | ||||
\(229\) | −47.1716 | + | 81.7037i | −0.205990 | + | 0.356785i | −0.950448 | − | 0.310885i | \(-0.899375\pi\) |
0.744458 | + | 0.667669i | \(0.232708\pi\) | |||||||
\(230\) | −93.6867 | + | 55.9336i | −0.407333 | + | 0.243189i | ||||
\(231\) | −231.652 | + | 78.0960i | −1.00282 | + | 0.338078i | ||||
\(232\) | 832.705i | 3.58925i | ||||||||
\(233\) | −112.336 | + | 194.572i | −0.482131 | + | 0.835075i | −0.999790 | − | 0.0205124i | \(-0.993470\pi\) |
0.517659 | + | 0.855587i | \(0.326804\pi\) | |||||||
\(234\) | 240.274 | − | 194.139i | 1.02681 | − | 0.829652i | ||||
\(235\) | 262.673 | + | 146.572i | 1.11776 | + | 0.623711i | ||||
\(236\) | 228.571 | + | 131.966i | 0.968523 | + | 0.559177i | ||||
\(237\) | −7.24937 | − | 92.7557i | −0.0305881 | − | 0.391374i | ||||
\(238\) | 56.7238 | + | 58.4089i | 0.238335 | + | 0.245416i | ||||
\(239\) | − | 270.509i | − | 1.13184i | −0.824462 | − | 0.565918i | \(-0.808522\pi\) | ||
0.824462 | − | 0.565918i | \(-0.191478\pi\) | |||||||
\(240\) | −618.533 | + | 57.4589i | −2.57722 | + | 0.239412i | ||||
\(241\) | 29.4855 | + | 51.0703i | 0.122346 | + | 0.211910i | 0.920693 | − | 0.390289i | \(-0.127625\pi\) |
−0.798346 | + | 0.602199i | \(0.794291\pi\) | |||||||
\(242\) | −26.9940 | − | 46.7549i | −0.111545 | − | 0.193202i | ||||
\(243\) | −240.834 | − | 32.3717i | −0.991087 | − | 0.133217i | ||||
\(244\) | 390.517 | 1.60048 | ||||||||
\(245\) | −244.974 | − | 3.58631i | −0.999893 | − | 0.0146380i | ||||
\(246\) | 252.585 | − | 19.7409i | 1.02677 | − | 0.0802475i | ||||
\(247\) | 86.2056 | + | 49.7708i | 0.349010 | + | 0.201501i | ||||
\(248\) | 341.786 | + | 591.990i | 1.37817 | + | 2.38706i | ||||
\(249\) | 231.465 | − | 158.897i | 0.929579 | − | 0.638139i | ||||
\(250\) | −412.491 | − | 214.590i | −1.64996 | − | 0.858361i | ||||
\(251\) | 38.0046i | 0.151413i | 0.997130 | + | 0.0757064i | \(0.0241212\pi\) | ||||
−0.997130 | + | 0.0757064i | \(0.975879\pi\) | |||||||
\(252\) | −495.567 | − | 372.092i | −1.96653 | − | 1.47656i | ||||
\(253\) | − | 68.2943i | − | 0.269938i | ||||||
\(254\) | 152.004 | + | 87.7598i | 0.598443 | + | 0.345511i | ||||
\(255\) | −19.5941 | + | 42.6150i | −0.0768397 | + | 0.167117i | ||||
\(256\) | 85.2100 | + | 147.588i | 0.332852 | + | 0.576516i | ||||
\(257\) | −213.944 | + | 370.562i | −0.832467 | + | 1.44188i | 0.0636088 | + | 0.997975i | \(0.479739\pi\) |
−0.896076 | + | 0.443901i | \(0.853594\pi\) | |||||||
\(258\) | 324.245 | − | 25.3416i | 1.25677 | − | 0.0982231i | ||||
\(259\) | 39.7068 | + | 157.365i | 0.153308 | + | 0.607587i | ||||
\(260\) | 232.636 | + | 389.656i | 0.894753 | + | 1.49868i | ||||
\(261\) | −322.125 | − | 124.054i | −1.23420 | − | 0.475302i | ||||
\(262\) | 471.585 | − | 272.270i | 1.79994 | − | 1.03920i | ||||
\(263\) | 17.1949 | + | 29.7824i | 0.0653797 | + | 0.113241i | 0.896862 | − | 0.442310i | \(-0.145841\pi\) |
−0.831483 | + | 0.555551i | \(0.812507\pi\) | |||||||
\(264\) | 326.791 | − | 684.176i | 1.23785 | − | 2.59158i | ||||
\(265\) | −240.297 | + | 143.464i | −0.906780 | + | 0.541373i | ||||
\(266\) | 76.6656 | − | 270.236i | 0.288217 | − | 1.01593i | ||||
\(267\) | 118.452 | − | 9.25766i | 0.443640 | − | 0.0346729i | ||||
\(268\) | 850.237 | + | 490.884i | 3.17252 | + | 1.83166i | ||||
\(269\) | −390.528 | + | 225.472i | −1.45178 | + | 0.838185i | −0.998582 | − | 0.0532259i | \(-0.983050\pi\) |
−0.453196 | + | 0.891411i | \(0.649716\pi\) | |||||||
\(270\) | 136.350 | − | 483.303i | 0.505001 | − | 1.79001i | ||||
\(271\) | 112.662 | − | 195.136i | 0.415727 | − | 0.720060i | −0.579778 | − | 0.814775i | \(-0.696861\pi\) |
0.995504 | + | 0.0947148i | \(0.0301939\pi\) | |||||||
\(272\) | −129.495 | −0.476086 | ||||||||
\(273\) | −38.1993 | + | 189.966i | −0.139924 | + | 0.695848i | ||||
\(274\) | −613.214 | −2.23801 | ||||||||
\(275\) | 247.670 | − | 152.826i | 0.900619 | − | 0.555729i | ||||
\(276\) | 142.731 | − | 97.9820i | 0.517140 | − | 0.355007i | ||||
\(277\) | −227.641 | + | 131.429i | −0.821810 | + | 0.474472i | −0.851040 | − | 0.525101i | \(-0.824028\pi\) |
0.0292305 | + | 0.999573i | \(0.490694\pi\) | |||||||
\(278\) | 467.805 | − | 810.263i | 1.68275 | − | 2.91461i | ||||
\(279\) | −279.925 | + | 44.0243i | −1.00332 | + | 0.157793i | ||||
\(280\) | 537.321 | − | 537.318i | 1.91900 | − | 1.91899i | ||||
\(281\) | 265.040i | 0.943204i | 0.881812 | + | 0.471602i | \(0.156324\pi\) | ||||
−0.881812 | + | 0.471602i | \(0.843676\pi\) | |||||||
\(282\) | −605.787 | − | 289.349i | −2.14818 | − | 1.02606i | ||||
\(283\) | 182.790 | − | 105.534i | 0.645901 | − | 0.372911i | −0.140983 | − | 0.990012i | \(-0.545026\pi\) |
0.786884 | + | 0.617101i | \(0.211693\pi\) | |||||||
\(284\) | −533.258 | + | 307.877i | −1.87767 | + | 1.08407i | ||||
\(285\) | 161.126 | − | 14.9678i | 0.565354 | − | 0.0525188i | ||||
\(286\) | −399.551 | −1.39703 | ||||||||
\(287\) | −114.009 | + | 110.720i | −0.397245 | + | 0.385784i | ||||
\(288\) | 597.484 | − | 93.9673i | 2.07460 | − | 0.326275i | ||||
\(289\) | 139.611 | − | 241.814i | 0.483084 | − | 0.836726i | ||||
\(290\) | 347.593 | − | 622.925i | 1.19860 | − | 2.14802i | ||||
\(291\) | −203.352 | − | 296.223i | −0.698803 | − | 1.01795i | ||||
\(292\) | 369.664 | + | 213.425i | 1.26597 | + | 0.730909i | ||||
\(293\) | 241.372 | 0.823795 | 0.411898 | − | 0.911230i | \(-0.364866\pi\) | ||||
0.411898 | + | 0.911230i | \(0.364866\pi\) | |||||||
\(294\) | 546.156 | − | 26.6330i | 1.85768 | − | 0.0905883i | ||||
\(295\) | −68.7715 | − | 115.190i | −0.233124 | − | 0.390473i | ||||
\(296\) | −435.936 | − | 251.688i | −1.47276 | − | 0.850297i | ||||
\(297\) | 215.984 | + | 228.343i | 0.727218 | + | 0.768832i | ||||
\(298\) | −775.846 | + | 447.935i | −2.60351 | + | 1.50314i | ||||
\(299\) | −46.8801 | − | 27.0662i | −0.156790 | − | 0.0905226i | ||||
\(300\) | 674.728 | + | 298.355i | 2.24909 | + | 0.994517i | ||||
\(301\) | −146.355 | + | 142.132i | −0.486228 | + | 0.472200i | ||||
\(302\) | −168.215 | −0.557003 | ||||||||
\(303\) | −20.7466 | + | 43.4354i | −0.0684706 | + | 0.143351i | ||||
\(304\) | 223.382 | + | 386.908i | 0.734808 | + | 1.27272i | ||||
\(305\) | −173.341 | − | 96.7246i | −0.568331 | − | 0.317130i | ||||
\(306\) | 37.6210 | − | 97.6888i | 0.122944 | − | 0.319245i | ||||
\(307\) | 378.511i | 1.23293i | 0.787381 | + | 0.616467i | \(0.211437\pi\) | ||||
−0.787381 | + | 0.616467i | \(0.788563\pi\) | |||||||
\(308\) | 196.106 | + | 777.203i | 0.636708 | + | 2.52339i | ||||
\(309\) | 385.107 | − | 30.0982i | 1.24630 | − | 0.0974053i | ||||
\(310\) | −8.56837 | − | 585.523i | −0.0276399 | − | 1.88878i | ||||
\(311\) | 108.150 | − | 62.4406i | 0.347750 | − | 0.200774i | −0.315944 | − | 0.948778i | \(-0.602321\pi\) |
0.663694 | + | 0.748004i | \(0.268988\pi\) | |||||||
\(312\) | −340.134 | − | 495.474i | −1.09017 | − | 1.58806i | ||||
\(313\) | −200.253 | − | 115.616i | −0.639786 | − | 0.369380i | 0.144746 | − | 0.989469i | \(-0.453763\pi\) |
−0.784532 | + | 0.620088i | \(0.787097\pi\) | |||||||
\(314\) | − | 7.03893i | − | 0.0224170i | ||||||
\(315\) | 127.809 | + | 287.906i | 0.405742 | + | 0.913988i | ||||
\(316\) | −305.063 | −0.965388 | ||||||||
\(317\) | −80.4184 | + | 139.289i | −0.253686 | + | 0.439397i | −0.964538 | − | 0.263945i | \(-0.914976\pi\) |
0.710852 | + | 0.703342i | \(0.248310\pi\) | |||||||
\(318\) | 514.957 | − | 353.509i | 1.61936 | − | 1.11166i | ||||
\(319\) | 223.241 | + | 386.665i | 0.699815 | + | 1.21211i | ||||
\(320\) | 6.16945 | + | 421.592i | 0.0192795 | + | 1.31747i | ||||
\(321\) | −37.2365 | − | 476.441i | −0.116002 | − | 1.48424i | ||||
\(322\) | −41.6921 | + | 146.959i | −0.129479 | + | 0.456395i | ||||
\(323\) | 33.7331 | 0.104437 | ||||||||
\(324\) | −167.350 | + | 778.996i | −0.516511 | + | 2.40431i | ||||
\(325\) | −6.74989 | − | 230.579i | −0.0207689 | − | 0.709473i | ||||
\(326\) | −431.483 | + | 249.117i | −1.32357 | + | 0.764161i | ||||
\(327\) | −70.0862 | − | 33.4761i | −0.214331 | − | 0.102373i | ||||
\(328\) | − | 492.915i | − | 1.50279i | ||||||
\(329\) | 408.322 | − | 103.029i | 1.24110 | − | 0.313158i | ||||
\(330\) | −530.057 | + | 375.403i | −1.60623 | + | 1.13758i | ||||
\(331\) | 229.247 | − | 397.068i | 0.692590 | − | 1.19960i | −0.278396 | − | 0.960466i | \(-0.589803\pi\) |
0.970986 | − | 0.239135i | \(-0.0768640\pi\) | |||||||
\(332\) | −460.284 | − | 797.235i | −1.38640 | − | 2.40131i | ||||
\(333\) | 162.308 | − | 131.143i | 0.487411 | − | 0.393822i | ||||
\(334\) | −43.9776 | + | 76.1714i | −0.131669 | + | 0.228058i | ||||
\(335\) | −255.815 | − | 428.481i | −0.763627 | − | 1.27905i | ||||
\(336\) | −574.781 | + | 652.657i | −1.71066 | + | 1.94243i | ||||
\(337\) | − | 170.410i | − | 0.505667i | −0.967510 | − | 0.252834i | \(-0.918637\pi\) | ||
0.967510 | − | 0.252834i | \(-0.0813625\pi\) | |||||||
\(338\) | 155.971 | − | 270.150i | 0.461453 | − | 0.799259i | ||||
\(339\) | −315.724 | + | 216.739i | −0.931339 | + | 0.639347i | ||||
\(340\) | 134.299 | + | 74.9390i | 0.394996 | + | 0.220409i | ||||
\(341\) | 317.415 | + | 183.260i | 0.930835 | + | 0.537418i | ||||
\(342\) | −356.773 | + | 56.1103i | −1.04320 | + | 0.164065i | ||||
\(343\) | −252.950 | + | 231.658i | −0.737462 | + | 0.675388i | ||||
\(344\) | − | 632.760i | − | 1.83942i | ||||||
\(345\) | −87.6230 | + | 8.13978i | −0.253980 | + | 0.0235936i | ||||
\(346\) | 121.207 | + | 209.937i | 0.350310 | + | 0.606754i | ||||
\(347\) | 311.981 | + | 540.367i | 0.899080 | + | 1.55725i | 0.828672 | + | 0.559735i | \(0.189097\pi\) |
0.0704086 | + | 0.997518i | \(0.477570\pi\) | |||||||
\(348\) | −487.819 | + | 1021.31i | −1.40178 | + | 2.93479i | ||||
\(349\) | −25.5776 | −0.0732883 | −0.0366442 | − | 0.999328i | \(-0.511667\pi\) | ||||
−0.0366442 | + | 0.999328i | \(0.511667\pi\) | |||||||
\(350\) | −626.246 | + | 177.661i | −1.78927 | + | 0.507603i | ||||
\(351\) | 242.343 | − | 57.7640i | 0.690435 | − | 0.164570i | ||||
\(352\) | −677.504 | − | 391.157i | −1.92473 | − | 1.11124i | ||||
\(353\) | −98.5420 | − | 170.680i | −0.279156 | − | 0.483512i | 0.692019 | − | 0.721879i | \(-0.256721\pi\) |
−0.971175 | + | 0.238367i | \(0.923388\pi\) | |||||||
\(354\) | 169.459 | + | 246.852i | 0.478699 | + | 0.697322i | ||||
\(355\) | 312.956 | − | 4.57971i | 0.881566 | − | 0.0129006i | ||||
\(356\) | − | 389.574i | − | 1.09431i | ||||||
\(357\) | 20.9775 | + | 62.2244i | 0.0587605 | + | 0.174298i | ||||
\(358\) | − | 605.312i | − | 1.69082i | ||||||
\(359\) | −402.581 | − | 232.430i | −1.12140 | − | 0.647438i | −0.179639 | − | 0.983733i | \(-0.557493\pi\) |
−0.941757 | + | 0.336294i | \(0.890826\pi\) | |||||||
\(360\) | −916.761 | − | 337.735i | −2.54656 | − | 0.938154i | ||||
\(361\) | 122.310 | + | 211.847i | 0.338809 | + | 0.586834i | ||||
\(362\) | 283.961 | − | 491.835i | 0.784423 | − | 1.35866i | ||||
\(363\) | −3.39266 | − | 43.4091i | −0.00934616 | − | 0.119584i | ||||
\(364\) | 611.225 | + | 173.404i | 1.67919 | + | 0.476384i | ||||
\(365\) | −111.223 | − | 186.294i | −0.304719 | − | 0.510394i | ||||
\(366\) | 399.766 | + | 190.945i | 1.09226 | + | 0.521708i | ||||
\(367\) | −353.989 | + | 204.375i | −0.964547 | + | 0.556881i | −0.897569 | − | 0.440873i | \(-0.854669\pi\) |
−0.0669775 | + | 0.997754i | \(0.521336\pi\) | |||||||
\(368\) | −121.479 | − | 210.408i | −0.330106 | − | 0.571760i | ||||
\(369\) | 190.680 | + | 73.4330i | 0.516749 | + | 0.199005i | ||||
\(370\) | 221.051 | + | 370.253i | 0.597436 | + | 1.00068i | ||||
\(371\) | −106.936 | + | 376.936i | −0.288237 | + | 1.01600i | ||||
\(372\) | 72.3953 | + | 926.299i | 0.194611 | + | 2.49005i | ||||
\(373\) | 629.997 | + | 363.729i | 1.68900 | + | 0.975144i | 0.955286 | + | 0.295685i | \(0.0955478\pi\) |
0.733713 | + | 0.679459i | \(0.237786\pi\) | |||||||
\(374\) | −117.261 | + | 67.7008i | −0.313533 | + | 0.181018i | ||||
\(375\) | −225.597 | − | 299.551i | −0.601593 | − | 0.798803i | ||||
\(376\) | −653.065 | + | 1131.14i | −1.73688 | + | 3.00836i | ||||
\(377\) | 353.897 | 0.938720 | ||||||||
\(378\) | −325.367 | − | 623.214i | −0.860759 | − | 1.64871i | ||||
\(379\) | −257.337 | −0.678989 | −0.339494 | − | 0.940608i | \(-0.610256\pi\) | ||||
−0.339494 | + | 0.940608i | \(0.610256\pi\) | |||||||
\(380\) | −7.76362 | − | 530.530i | −0.0204306 | − | 1.39613i | ||||
\(381\) | 80.1154 | + | 116.704i | 0.210277 | + | 0.306311i | ||||
\(382\) | 675.238 | − | 389.849i | 1.76764 | − | 1.02055i | ||||
\(383\) | −63.6145 | + | 110.184i | −0.166095 | + | 0.287685i | −0.937044 | − | 0.349212i | \(-0.886449\pi\) |
0.770948 | + | 0.636898i | \(0.219783\pi\) | |||||||
\(384\) | −10.4875 | − | 134.188i | −0.0273112 | − | 0.349447i | ||||
\(385\) | 105.453 | − | 393.553i | 0.273905 | − | 1.02222i | ||||
\(386\) | 440.935i | 1.14232i | ||||||||
\(387\) | 244.778 | + | 94.2666i | 0.632501 | + | 0.243583i | ||||
\(388\) | −1020.28 | + | 589.059i | −2.62959 | + | 1.51819i | ||||
\(389\) | 92.0153 | − | 53.1250i | 0.236543 | − | 0.136568i | −0.377044 | − | 0.926195i | \(-0.623059\pi\) |
0.613587 | + | 0.789627i | \(0.289726\pi\) | |||||||
\(390\) | 47.6212 | + | 512.632i | 0.122106 | + | 1.31444i | ||||
\(391\) | −18.3447 | −0.0469173 | ||||||||
\(392\) | 31.1353 | − | 1063.38i | 0.0794269 | − | 2.71271i | ||||
\(393\) | 437.838 | − | 34.2194i | 1.11409 | − | 0.0870723i | ||||
\(394\) | 297.417 | − | 515.142i | 0.754866 | − | 1.30747i | ||||
\(395\) | 135.410 | + | 75.5589i | 0.342809 | + | 0.191288i | ||||
\(396\) | 801.615 | − | 647.695i | 2.02428 | − | 1.63559i | ||||
\(397\) | −116.882 | − | 67.4818i | −0.294413 | − | 0.169979i | 0.345517 | − | 0.938412i | \(-0.387703\pi\) |
−0.639930 | + | 0.768433i | \(0.721037\pi\) | |||||||
\(398\) | 322.758 | 0.810951 | ||||||||
\(399\) | 149.728 | − | 170.015i | 0.375259 | − | 0.426103i | ||||
\(400\) | 491.206 | − | 911.383i | 1.22801 | − | 2.27846i | ||||
\(401\) | 378.110 | + | 218.302i | 0.942918 | + | 0.544394i | 0.890874 | − | 0.454251i | \(-0.150093\pi\) |
0.0520445 | + | 0.998645i | \(0.483426\pi\) | |||||||
\(402\) | 630.352 | + | 918.236i | 1.56804 | + | 2.28417i | ||||
\(403\) | 251.594 | − | 145.258i | 0.624303 | − | 0.360442i | ||||
\(404\) | 136.686 | + | 78.9158i | 0.338332 | + | 0.195336i | ||||
\(405\) | 267.226 | − | 304.327i | 0.659818 | − | 0.751425i | ||||
\(406\) | −244.332 | − | 968.329i | −0.601802 | − | 2.38505i | ||||
\(407\) | −269.901 | −0.663148 | ||||||||
\(408\) | −183.778 | − | 87.7800i | −0.450435 | − | 0.215147i | ||||
\(409\) | −225.188 | − | 390.037i | −0.550581 | − | 0.953635i | −0.998233 | − | 0.0594267i | \(-0.981073\pi\) |
0.447651 | − | 0.894208i | \(-0.352261\pi\) | |||||||
\(410\) | −205.756 | + | 368.737i | −0.501844 | + | 0.899358i | ||||
\(411\) | −446.266 | − | 213.155i | −1.08581 | − | 0.518626i | ||||
\(412\) | − | 1266.57i | − | 3.07420i | ||||||
\(413\) | −180.689 | − | 51.2613i | −0.437505 | − | 0.124119i | ||||
\(414\) | 194.019 | − | 30.5138i | 0.468646 | − | 0.0737047i | ||||
\(415\) | 6.84678 | + | 467.877i | 0.0164983 | + | 1.12742i | ||||
\(416\) | −537.014 | + | 310.045i | −1.29090 | + | 0.745300i | ||||
\(417\) | 622.095 | − | 427.057i | 1.49183 | − | 1.02412i | ||||
\(418\) | 404.555 | + | 233.570i | 0.967835 | + | 0.558780i | ||||
\(419\) | 694.997i | 1.65870i | 0.558727 | + | 0.829352i | \(0.311290\pi\) | ||||
−0.558727 | + | 0.829352i | \(0.688710\pi\) | |||||||
\(420\) | 973.794 | − | 344.240i | 2.31856 | − | 0.819620i | ||||
\(421\) | 114.851 | 0.272805 | 0.136403 | − | 0.990653i | \(-0.456446\pi\) | ||||
0.136403 | + | 0.990653i | \(0.456446\pi\) | |||||||
\(422\) | −541.910 | + | 938.615i | −1.28415 | + | 2.22421i | ||||
\(423\) | −340.282 | − | 421.147i | −0.804449 | − | 0.995620i | ||||
\(424\) | −607.614 | − | 1052.42i | −1.43305 | − | 2.48212i | ||||
\(425\) | −41.0507 | − | 66.5271i | −0.0965899 | − | 0.156534i | ||||
\(426\) | −696.425 | + | 54.4294i | −1.63480 | + | 0.127769i | ||||
\(427\) | −269.456 | + | 67.9900i | −0.631045 | + | 0.159227i | ||||
\(428\) | −1566.96 | −3.66112 | ||||||||
\(429\) | −290.773 | − | 138.885i | −0.677792 | − | 0.323742i | ||||
\(430\) | −264.131 | + | 473.351i | −0.614257 | + | 1.10082i | ||||
\(431\) | 312.237 | − | 180.270i | 0.724448 | − | 0.418260i | −0.0919394 | − | 0.995765i | \(-0.529307\pi\) |
0.816388 | + | 0.577504i | \(0.195973\pi\) | |||||||
\(432\) | 1071.59 | + | 319.318i | 2.48053 | + | 0.739163i | ||||
\(433\) | 590.764i | 1.36435i | 0.731188 | + | 0.682176i | \(0.238966\pi\) | ||||
−0.731188 | + | 0.682176i | \(0.761034\pi\) | |||||||
\(434\) | −571.154 | − | 588.122i | −1.31602 | − | 1.35512i | ||||
\(435\) | 469.491 | − | 332.508i | 1.07929 | − | 0.764386i | ||||
\(436\) | −127.336 | + | 220.553i | −0.292056 | + | 0.505856i | ||||
\(437\) | 31.6448 | + | 54.8104i | 0.0724138 | + | 0.125424i | ||||
\(438\) | 274.063 | + | 399.228i | 0.625715 | + | 0.911480i | ||||
\(439\) | 235.149 | − | 407.290i | 0.535647 | − | 0.927769i | −0.463484 | − | 0.886105i | \(-0.653401\pi\) |
0.999132 | − | 0.0416635i | \(-0.0132657\pi\) | |||||||
\(440\) | 647.791 | + | 1085.03i | 1.47225 | + | 2.46597i | ||||
\(441\) | 406.722 | + | 170.464i | 0.922273 | + | 0.386539i | ||||
\(442\) | 107.324i | 0.242815i | ||||||||
\(443\) | 99.6641 | − | 172.623i | 0.224975 | − | 0.389669i | −0.731337 | − | 0.682017i | \(-0.761103\pi\) |
0.956312 | + | 0.292348i | \(0.0944365\pi\) | |||||||
\(444\) | −387.228 | − | 564.076i | −0.872135 | − | 1.27044i | ||||
\(445\) | −96.4910 | + | 172.922i | −0.216834 | + | 0.388589i | ||||
\(446\) | −1022.91 | − | 590.576i | −2.29352 | − | 1.32416i | ||||
\(447\) | −720.325 | + | 56.2973i | −1.61146 | + | 0.125945i | ||||
\(448\) | 411.246 | + | 423.463i | 0.917960 | + | 0.945231i | ||||
\(449\) | 420.588i | 0.936722i | 0.883537 | + | 0.468361i | \(0.155155\pi\) | ||||
−0.883537 | + | 0.468361i | \(0.844845\pi\) | |||||||
\(450\) | 544.825 | + | 635.331i | 1.21072 | + | 1.41185i | ||||
\(451\) | −132.146 | − | 228.884i | −0.293007 | − | 0.507503i | ||||
\(452\) | 627.838 | + | 1087.45i | 1.38902 | + | 2.40586i | ||||
\(453\) | −122.418 | − | 58.4721i | −0.270239 | − | 0.129077i | ||||
\(454\) | 411.154 | 0.905626 | ||||||||
\(455\) | −228.358 | − | 228.360i | −0.501887 | − | 0.501889i | ||||
\(456\) | 54.7491 | + | 700.515i | 0.120064 | + | 1.53622i | ||||
\(457\) | −433.751 | − | 250.426i | −0.949127 | − | 0.547979i | −0.0563173 | − | 0.998413i | \(-0.517936\pi\) |
−0.892810 | + | 0.450434i | \(0.851269\pi\) | |||||||
\(458\) | 175.467 | + | 303.918i | 0.383117 | + | 0.663577i | ||||
\(459\) | 61.3356 | − | 58.0158i | 0.133629 | − | 0.126396i | ||||
\(460\) | 4.22200 | + | 288.512i | 0.00917825 | + | 0.627200i | ||||
\(461\) | 68.9132i | 0.149486i | 0.997203 | + | 0.0747432i | \(0.0238137\pi\) | ||||
−0.997203 | + | 0.0747432i | \(0.976186\pi\) | |||||||
\(462\) | −179.266 | + | 891.495i | −0.388021 | + | 1.92964i | ||||
\(463\) | 72.6957i | 0.157010i | 0.996914 | + | 0.0785051i | \(0.0250147\pi\) | ||||
−0.996914 | + | 0.0785051i | \(0.974985\pi\) | |||||||
\(464\) | 1375.56 | + | 794.182i | 2.96458 | + | 1.71160i | ||||
\(465\) | 197.294 | − | 429.092i | 0.424288 | − | 0.922778i | ||||
\(466\) | 417.865 | + | 723.763i | 0.896706 | + | 1.55314i | ||||
\(467\) | −67.4292 | + | 116.791i | −0.144388 | + | 0.250087i | −0.929144 | − | 0.369717i | \(-0.879455\pi\) |
0.784756 | + | 0.619804i | \(0.212788\pi\) | |||||||
\(468\) | −126.911 | − | 806.955i | −0.271178 | − | 1.72426i | ||||
\(469\) | −672.126 | − | 190.681i | −1.43310 | − | 0.406569i | ||||
\(470\) | 960.710 | − | 573.571i | 2.04406 | − | 1.22036i | ||||
\(471\) | 2.44675 | − | 5.12257i | 0.00519481 | − | 0.0108759i | ||||
\(472\) | 504.492 | − | 291.268i | 1.06884 | − | 0.617094i | ||||
\(473\) | −169.637 | − | 293.820i | −0.358641 | − | 0.621185i | ||||
\(474\) | −312.287 | − | 149.162i | −0.658834 | − | 0.314687i | ||||
\(475\) | −127.957 | + | 237.412i | −0.269384 | + | 0.499815i | ||||
\(476\) | 208.766 | − | 52.6764i | 0.438583 | − | 0.110665i | ||||
\(477\) | 497.640 | − | 78.2646i | 1.04327 | − | 0.164077i | ||||
\(478\) | −871.419 | − | 503.114i | −1.82305 | − | 1.05254i | ||||
\(479\) | 407.459 | − | 235.247i | 0.850645 | − | 0.491120i | −0.0102233 | − | 0.999948i | \(-0.503254\pi\) |
0.860868 | + | 0.508828i | \(0.169921\pi\) | |||||||
\(480\) | −421.113 | + | 915.872i | −0.877319 | + | 1.90807i | ||||
\(481\) | −106.967 | + | 185.272i | −0.222384 | + | 0.385180i | ||||
\(482\) | 219.358 | 0.455100 | ||||||||
\(483\) | −81.4250 | + | 92.4571i | −0.168582 | + | 0.191423i | ||||
\(484\) | −142.767 | −0.294974 | ||||||||
\(485\) | 598.777 | − | 8.76232i | 1.23459 | − | 0.0180666i | ||||
\(486\) | −552.206 | + | 715.618i | −1.13623 | + | 1.47247i | ||||
\(487\) | −173.689 | + | 100.280i | −0.356651 | + | 0.205913i | −0.667611 | − | 0.744510i | \(-0.732683\pi\) |
0.310959 | + | 0.950423i | \(0.399350\pi\) | |||||||
\(488\) | 430.965 | − | 746.454i | 0.883126 | − | 1.52962i | ||||
\(489\) | −400.605 | + | 31.3095i | −0.819232 | + | 0.0640275i | ||||
\(490\) | −467.175 | + | 782.491i | −0.953419 | + | 1.59692i | ||||
\(491\) | − | 744.767i | − | 1.51684i | −0.651768 | − | 0.758418i | \(-0.725973\pi\) | ||
0.651768 | − | 0.758418i | \(-0.274027\pi\) | |||||||
\(492\) | 288.762 | − | 604.557i | 0.586914 | − | 1.22877i | ||||
\(493\) | 103.863 | − | 59.9651i | 0.210675 | − | 0.121633i | ||||
\(494\) | 320.664 | − | 185.136i | 0.649118 | − | 0.374769i | ||||
\(495\) | −516.240 | + | 88.9491i | −1.04291 | + | 0.179695i | ||||
\(496\) | 1303.89 | 2.62882 | ||||||||
\(497\) | 314.345 | − | 305.276i | 0.632485 | − | 0.614238i | ||||
\(498\) | −81.3734 | − | 1041.17i | −0.163400 | − | 2.09071i | ||||
\(499\) | −268.252 | + | 464.626i | −0.537579 | + | 0.931114i | 0.461455 | + | 0.887164i | \(0.347328\pi\) |
−0.999034 | + | 0.0439501i | \(0.986006\pi\) | |||||||
\(500\) | −1036.84 | + | 660.928i | −2.07369 | + | 1.32186i | ||||
\(501\) | −58.4821 | + | 40.1469i | −0.116731 | + | 0.0801335i | ||||
\(502\) | 122.428 | + | 70.6841i | 0.243881 | + | 0.140805i | ||||
\(503\) | −924.410 | −1.83779 | −0.918897 | − | 0.394499i | \(-0.870918\pi\) | ||||
−0.918897 | + | 0.394499i | \(0.870918\pi\) | |||||||
\(504\) | −1258.13 | + | 536.618i | −2.49629 | + | 1.06472i | ||||
\(505\) | −41.1255 | − | 68.8837i | −0.0814366 | − | 0.136403i | ||||
\(506\) | −220.004 | − | 127.019i | −0.434791 | − | 0.251027i | ||||
\(507\) | 207.413 | − | 142.385i | 0.409098 | − | 0.280838i | ||||
\(508\) | 401.965 | − | 232.075i | 0.791269 | − | 0.456840i | ||||
\(509\) | 821.002 | + | 474.006i | 1.61297 | + | 0.931249i | 0.988677 | + | 0.150059i | \(0.0479463\pi\) |
0.624293 | + | 0.781190i | \(0.285387\pi\) | |||||||
\(510\) | 100.838 | + | 142.380i | 0.197721 | + | 0.279176i | ||||
\(511\) | −292.225 | − | 82.9038i | −0.571869 | − | 0.162238i | ||||
\(512\) | 813.385 | 1.58864 | ||||||||
\(513\) | −279.145 | − | 83.1813i | −0.544143 | − | 0.162147i | ||||
\(514\) | 795.822 | + | 1378.40i | 1.54829 | + | 2.68172i | ||||
\(515\) | −313.709 | + | 562.200i | −0.609143 | + | 1.09165i | ||||
\(516\) | 370.686 | − | 776.075i | 0.718384 | − | 1.50402i | ||||
\(517\) | 700.324i | 1.35459i | ||||||||
\(518\) | 580.788 | + | 164.769i | 1.12121 | + | 0.318086i | ||||
\(519\) | 15.2335 | + | 194.913i | 0.0293517 | + | 0.375556i | ||||
\(520\) | 1001.54 | − | 14.6562i | 1.92604 | − | 0.0281850i | ||||
\(521\) | −511.768 | + | 295.469i | −0.982280 | + | 0.567120i | −0.902958 | − | 0.429729i | \(-0.858609\pi\) |
−0.0793222 | + | 0.996849i | \(0.525276\pi\) | |||||||
\(522\) | −998.744 | + | 806.973i | −1.91330 | + | 1.54593i | ||||
\(523\) | −152.158 | − | 87.8483i | −0.290933 | − | 0.167970i | 0.347430 | − | 0.937706i | \(-0.387055\pi\) |
−0.638362 | + | 0.769736i | \(0.720388\pi\) | |||||||
\(524\) | − | 1440.00i | − | 2.74809i | ||||||
\(525\) | −517.505 | − | 88.3926i | −0.985724 | − | 0.168367i | ||||
\(526\) | 127.922 | 0.243197 | ||||||||
\(527\) | 49.2256 | − | 85.2613i | 0.0934073 | − | 0.161786i | ||||
\(528\) | −818.532 | − | 1192.36i | −1.55025 | − | 2.25825i | ||||
\(529\) | 247.291 | + | 428.321i | 0.467469 | + | 0.809680i | ||||
\(530\) | 15.2325 | + | 1040.92i | 0.0287406 | + | 1.96400i | ||||
\(531\) | 37.5173 | + | 238.551i | 0.0706540 | + | 0.449248i | ||||
\(532\) | −517.511 | − | 532.885i | −0.972765 | − | 1.00166i | ||||
\(533\) | −209.487 | −0.393035 | ||||||||
\(534\) | 190.484 | − | 398.800i | 0.356711 | − | 0.746817i | ||||
\(535\) | 695.534 | + | 388.110i | 1.30006 | + | 0.725439i | ||||
\(536\) | 1876.60 | − | 1083.46i | 3.50112 | − | 2.02137i | ||||
\(537\) | 210.409 | − | 440.515i | 0.391822 | − | 0.820326i | ||||
\(538\) | 1677.40i | 3.11785i | ||||||||
\(539\) | −270.626 | − | 502.126i | −0.502088 | − | 0.931588i | ||||
\(540\) | −926.548 | − | 951.291i | −1.71583 | − | 1.76165i | ||||
\(541\) | −376.475 | + | 652.073i | −0.695887 | + | 1.20531i | 0.273994 | + | 0.961731i | \(0.411655\pi\) |
−0.969881 | + | 0.243580i | \(0.921678\pi\) | |||||||
\(542\) | −419.076 | − | 725.861i | −0.773203 | − | 1.33923i | ||||
\(543\) | 377.616 | − | 259.227i | 0.695425 | − | 0.477397i | ||||
\(544\) | −105.069 | + | 181.985i | −0.193142 | + | 0.334532i | ||||
\(545\) | 111.149 | − | 66.3589i | 0.203943 | − | 0.121760i | ||||
\(546\) | 540.914 | + | 476.371i | 0.990685 | + | 0.872474i | ||||
\(547\) | − | 760.168i | − | 1.38970i | −0.719153 | − | 0.694852i | \(-0.755470\pi\) | ||
0.719153 | − | 0.694852i | \(-0.244530\pi\) | |||||||
\(548\) | −810.801 | + | 1404.35i | −1.47956 | + | 2.56268i | ||||
\(549\) | 224.556 | + | 277.920i | 0.409027 | + | 0.506229i | ||||
\(550\) | −31.6766 | − | 1082.08i | −0.0575938 | − | 1.96743i | ||||
\(551\) | −358.329 | − | 206.881i | −0.650325 | − | 0.375465i | ||||
\(552\) | −29.7735 | − | 380.953i | −0.0539376 | − | 0.690132i | ||||
\(553\) | 210.493 | − | 53.1121i | 0.380638 | − | 0.0960437i | ||||
\(554\) | 977.768i | 1.76492i | ||||||||
\(555\) | 32.1687 | + | 346.289i | 0.0579616 | + | 0.623944i | ||||
\(556\) | −1237.08 | − | 2142.68i | −2.22496 | − | 3.85374i | ||||
\(557\) | −427.707 | − | 740.811i | −0.767877 | − | 1.33000i | −0.938712 | − | 0.344702i | \(-0.887980\pi\) |
0.170835 | − | 0.985300i | \(-0.445353\pi\) | |||||||
\(558\) | −378.807 | + | 983.633i | −0.678866 | + | 1.76278i | ||||
\(559\) | −268.921 | −0.481075 | ||||||||
\(560\) | −375.143 | − | 1400.07i | −0.669899 | − | 2.50013i | ||||
\(561\) | −108.870 | + | 8.50877i | −0.194064 | + | 0.0151671i | ||||
\(562\) | 853.804 | + | 492.944i | 1.51922 | + | 0.877124i | ||||
\(563\) | 479.723 | + | 830.904i | 0.852083 | + | 1.47585i | 0.879325 | + | 0.476222i | \(0.157994\pi\) |
−0.0272426 | + | 0.999629i | \(0.508673\pi\) | |||||||
\(564\) | −1463.63 | + | 1004.76i | −2.59509 | + | 1.78148i | ||||
\(565\) | −9.33917 | − | 638.196i | −0.0165295 | − | 1.12955i | ||||
\(566\) | − | 785.123i | − | 1.38714i | ||||||
\(567\) | −20.1542 | − | 566.642i | −0.0355453 | − | 0.999368i | ||||
\(568\) | 1359.06i | 2.39271i | ||||||||
\(569\) | −888.485 | − | 512.967i | −1.56148 | − | 0.901523i | −0.997107 | − | 0.0760060i | \(-0.975783\pi\) |
−0.564377 | − | 0.825517i | \(-0.690883\pi\) | |||||||
\(570\) | 251.457 | − | 546.891i | 0.441153 | − | 0.959457i | ||||
\(571\) | −190.751 | − | 330.391i | −0.334065 | − | 0.578617i | 0.649240 | − | 0.760584i | \(-0.275087\pi\) |
−0.983305 | + | 0.181966i | \(0.941754\pi\) | |||||||
\(572\) | −528.292 | + | 915.029i | −0.923588 | + | 1.59970i | ||||
\(573\) | 626.916 | − | 48.9969i | 1.09409 | − | 0.0855095i | ||||
\(574\) | 144.631 | + | 573.197i | 0.251970 | + | 0.998600i | ||||
\(575\) | 69.5855 | − | 129.109i | 0.121018 | − | 0.224537i | ||||
\(576\) | 272.751 | − | 708.242i | 0.473527 | − | 1.22959i | ||||
\(577\) | 119.310 | − | 68.8835i | 0.206776 | − | 0.119382i | −0.393036 | − | 0.919523i | \(-0.628575\pi\) |
0.599812 | + | 0.800141i | \(0.295242\pi\) | |||||||
\(578\) | −519.321 | − | 899.490i | −0.898479 | − | 1.55621i | ||||
\(579\) | −153.271 | + | 320.890i | −0.264716 | + | 0.554215i | ||||
\(580\) | −966.993 | − | 1619.68i | −1.66723 | − | 2.79255i | ||||
\(581\) | 456.396 | + | 469.954i | 0.785535 | + | 0.808872i | ||||
\(582\) | −1332.47 | + | 104.139i | −2.28946 | + | 0.178934i | ||||
\(583\) | −564.288 | − | 325.792i | −0.967904 | − | 0.558820i | ||||
\(584\) | 815.903 | − | 471.062i | 1.39709 | − | 0.806613i | ||||
\(585\) | −143.537 | + | 389.621i | −0.245362 | + | 0.666019i | ||||
\(586\) | 448.924 | − | 777.558i | 0.766081 | − | 1.32689i | ||||
\(587\) | 401.054 | 0.683227 | 0.341614 | − | 0.939840i | \(-0.389027\pi\) | ||||
0.341614 | + | 0.939840i | \(0.389027\pi\) | |||||||
\(588\) | 661.143 | − | 1285.99i | 1.12439 | − | 2.18706i | ||||
\(589\) | −339.660 | −0.576672 | ||||||||
\(590\) | −498.980 | + | 7.30193i | −0.845729 | + | 0.0123761i | ||||
\(591\) | 395.510 | − | 271.510i | 0.669222 | − | 0.459409i | ||||
\(592\) | −831.537 | + | 480.088i | −1.40462 | + | 0.810960i | ||||
\(593\) | 382.801 | − | 663.031i | 0.645533 | − | 1.11810i | −0.338645 | − | 0.940914i | \(-0.609969\pi\) |
0.984178 | − | 0.177182i | \(-0.0566981\pi\) | |||||||
\(594\) | 1137.29 | − | 271.081i | 1.91463 | − | 0.456366i | ||||
\(595\) | −105.713 | − | 28.3260i | −0.177669 | − | 0.0476068i | ||||
\(596\) | 2369.06i | 3.97494i | ||||||||
\(597\) | 234.887 | + | 112.192i | 0.393446 | + | 0.187926i | ||||
\(598\) | −174.383 | + | 100.680i | −0.291610 | + | 0.168361i | ||||
\(599\) | 786.962 | − | 454.353i | 1.31379 | − | 0.758519i | 0.331071 | − | 0.943606i | \(-0.392590\pi\) |
0.982722 | + | 0.185087i | \(0.0592566\pi\) | |||||||
\(600\) | 1314.90 | − | 960.450i | 2.19151 | − | 1.60075i | ||||
\(601\) | 614.095 | 1.02179 | 0.510894 | − | 0.859644i | \(-0.329314\pi\) | ||||
0.510894 | + | 0.859644i | \(0.329314\pi\) | |||||||
\(602\) | 185.664 | + | 735.818i | 0.308412 | + | 1.22229i | ||||
\(603\) | 139.556 | + | 887.358i | 0.231436 | + | 1.47157i | ||||
\(604\) | −222.416 | + | 385.236i | −0.368239 | + | 0.637808i | ||||
\(605\) | 63.3708 | + | 35.3611i | 0.104745 | + | 0.0584480i | ||||
\(606\) | 101.337 | + | 147.618i | 0.167223 | + | 0.243594i | ||||
\(607\) | 253.578 | + | 146.403i | 0.417756 | + | 0.241191i | 0.694117 | − | 0.719862i | \(-0.255795\pi\) |
−0.276361 | + | 0.961054i | \(0.589128\pi\) | |||||||
\(608\) | 724.985 | 1.19241 | ||||||||
\(609\) | 158.782 | − | 789.630i | 0.260726 | − | 1.29660i | ||||
\(610\) | −633.983 | + | 378.506i | −1.03932 | + | 0.620502i | ||||
\(611\) | 480.732 | + | 277.551i | 0.786796 | + | 0.454257i | ||||
\(612\) | −173.978 | − | 215.323i | −0.284278 | − | 0.351835i | ||||
\(613\) | 733.123 | − | 423.269i | 1.19596 | − | 0.690487i | 0.236307 | − | 0.971678i | \(-0.424063\pi\) |
0.959652 | + | 0.281191i | \(0.0907295\pi\) | |||||||
\(614\) | 1219.34 | + | 703.985i | 1.98589 | + | 1.14656i | ||||
\(615\) | −277.913 | + | 196.826i | −0.451891 | + | 0.320043i | ||||
\(616\) | 1702.00 | + | 482.855i | 2.76299 | + | 0.783855i | ||||
\(617\) | −689.661 | −1.11776 | −0.558882 | − | 0.829247i | \(-0.688770\pi\) | ||||
−0.558882 | + | 0.829247i | \(0.688770\pi\) | |||||||
\(618\) | 619.295 | − | 1296.57i | 1.00210 | − | 2.09801i | ||||
\(619\) | −117.419 | − | 203.376i | −0.189692 | − | 0.328556i | 0.755456 | − | 0.655200i | \(-0.227416\pi\) |
−0.945147 | + | 0.326644i | \(0.894082\pi\) | |||||||
\(620\) | −1352.26 | − | 754.564i | −2.18106 | − | 1.21704i | ||||
\(621\) | 151.804 | + | 45.2355i | 0.244451 | + | 0.0728430i | ||||
\(622\) | − | 464.529i | − | 0.746831i | ||||||
\(623\) | 67.8258 | + | 268.806i | 0.108870 | + | 0.431470i | ||||
\(624\) | −1142.88 | + | 89.3226i | −1.83154 | + | 0.143145i | ||||
\(625\) | 623.930 | − | 36.5608i | 0.998288 | − | 0.0584972i | ||||
\(626\) | −744.894 | + | 430.065i | −1.18993 | + | 0.687004i | ||||
\(627\) | 213.225 | + | 310.605i | 0.340071 | + | 0.495383i | ||||
\(628\) | −16.1201 | − | 9.30697i | −0.0256690 | − | 0.0148200i | ||||
\(629\) | 72.4986i | 0.115260i | ||||||||
\(630\) | 1165.17 | + | 123.747i | 1.84948 | + | 0.196424i | ||||
\(631\) | 43.4343 | 0.0688340 | 0.0344170 | − | 0.999408i | \(-0.489043\pi\) | ||||
0.0344170 | + | 0.999408i | \(0.489043\pi\) | |||||||
\(632\) | −336.660 | + | 583.112i | −0.532689 | + | 0.922645i | ||||
\(633\) | −720.640 | + | 494.706i | −1.13845 | + | 0.781527i | ||||
\(634\) | 299.138 | + | 518.122i | 0.471826 | + | 0.817226i | ||||
\(635\) | −235.903 | + | 3.45214i | −0.371501 | + | 0.00543644i | ||||
\(636\) | −128.702 | − | 1646.74i | −0.202361 | − | 2.58921i | ||||
\(637\) | −451.934 | − | 13.2324i | −0.709473 | − | 0.0207730i | ||||
\(638\) | 1660.81 | 2.60315 | ||||||||
\(639\) | −525.742 | − | 202.469i | −0.822758 | − | 0.316852i | ||||
\(640\) | 195.894 | + | 109.309i | 0.306085 | + | 0.170796i | ||||
\(641\) | −530.429 | + | 306.244i | −0.827503 | + | 0.477759i | −0.852997 | − | 0.521916i | \(-0.825217\pi\) |
0.0254941 | + | 0.999675i | \(0.491884\pi\) | |||||||
\(642\) | −1604.07 | − | 766.171i | −2.49855 | − | 1.19341i | ||||
\(643\) | 82.2019i | 0.127841i | 0.997955 | + | 0.0639206i | \(0.0203604\pi\) | ||||
−0.997955 | + | 0.0639206i | \(0.979640\pi\) | |||||||
\(644\) | 281.432 | + | 289.793i | 0.437006 | + | 0.449988i | ||||
\(645\) | −356.759 | + | 252.668i | −0.553115 | + | 0.391733i | ||||
\(646\) | 62.7396 | − | 108.668i | 0.0971201 | − | 0.168217i | ||||
\(647\) | −315.390 | − | 546.272i | −0.487465 | − | 0.844315i | 0.512431 | − | 0.858729i | \(-0.328745\pi\) |
−0.999896 | + | 0.0144137i | \(0.995412\pi\) | |||||||
\(648\) | 1304.33 | + | 1179.56i | 2.01285 | + | 1.82031i | ||||
\(649\) | 156.173 | − | 270.500i | 0.240636 | − | 0.416794i | ||||
\(650\) | −755.343 | − | 407.105i | −1.16207 | − | 0.626316i | ||||
\(651\) | −211.223 | − | 626.540i | −0.324460 | − | 0.962427i | ||||
\(652\) | 1317.54i | 2.02077i | ||||||||
\(653\) | 155.794 | − | 269.843i | 0.238581 | − | 0.413235i | −0.721726 | − | 0.692179i | \(-0.756651\pi\) |
0.960307 | + | 0.278944i | \(0.0899843\pi\) | |||||||
\(654\) | −238.192 | + | 163.515i | −0.364209 | + | 0.250023i | ||||
\(655\) | −356.663 | + | 639.179i | −0.544524 | + | 0.975845i | ||||
\(656\) | −814.257 | − | 470.111i | −1.24124 | − | 0.716633i | ||||
\(657\) | 60.6759 | + | 385.803i | 0.0923529 | + | 0.587219i | ||||
\(658\) | 427.532 | − | 1506.99i | 0.649745 | − | 2.29026i | ||||
\(659\) | − | 436.936i | − | 0.663029i | −0.943450 | − | 0.331515i | \(-0.892440\pi\) | ||
0.943450 | − | 0.331515i | \(-0.107560\pi\) | |||||||
\(660\) | 158.876 | + | 1710.27i | 0.240721 | + | 2.59132i | ||||
\(661\) | 360.203 | + | 623.889i | 0.544936 | + | 0.943857i | 0.998611 | + | 0.0526895i | \(0.0167794\pi\) |
−0.453675 | + | 0.891167i | \(0.649887\pi\) | |||||||
\(662\) | −852.747 | − | 1477.00i | −1.28814 | − | 2.23112i | ||||
\(663\) | −37.3062 | + | 78.1050i | −0.0562688 | + | 0.117805i | ||||
\(664\) | −2031.83 | −3.05999 | ||||||||
\(665\) | 97.7235 | + | 364.713i | 0.146953 | + | 0.548441i | ||||
\(666\) | −120.591 | − | 766.771i | −0.181068 | − | 1.15131i | ||||
\(667\) | 194.866 | + | 112.506i | 0.292153 | + | 0.168674i | ||||
\(668\) | 116.296 | + | 201.430i | 0.174095 | + | 0.301542i | ||||
\(669\) | −539.134 | − | 785.358i | −0.805880 | − | 1.17393i | ||||
\(670\) | −1856.10 | + | 27.1616i | −2.77030 | + | 0.0405397i | ||||
\(671\) | − | 462.152i | − | 0.688751i | ||||||
\(672\) | 450.844 | + | 1337.31i | 0.670899 | + | 1.99005i | ||||
\(673\) | 121.980i | 0.181248i | 0.995885 | + | 0.0906240i | \(0.0288861\pi\) | ||||
−0.995885 | + | 0.0906240i | \(0.971114\pi\) | |||||||
\(674\) | −548.960 | − | 316.942i | −0.814481 | − | 0.470241i | ||||
\(675\) | 175.652 | + | 651.745i | 0.260226 | + | 0.965548i | ||||
\(676\) | −412.454 | − | 714.391i | −0.610139 | − | 1.05679i | ||||
\(677\) | −238.050 | + | 412.314i | −0.351624 | + | 0.609031i | −0.986534 | − | 0.163555i | \(-0.947704\pi\) |
0.634910 | + | 0.772586i | \(0.281037\pi\) | |||||||
\(678\) | 110.995 | + | 1420.18i | 0.163710 | + | 2.09467i | ||||
\(679\) | 601.435 | − | 584.083i | 0.885766 | − | 0.860210i | ||||
\(680\) | 291.451 | − | 174.004i | 0.428604 | − | 0.255889i | ||||
\(681\) | 299.217 | + | 142.919i | 0.439379 | + | 0.209866i | ||||
\(682\) | 1180.71 | − | 681.682i | 1.73124 | − | 0.999534i | ||||
\(683\) | 533.388 | + | 923.855i | 0.780948 | + | 1.35264i | 0.931390 | + | 0.364023i | \(0.118597\pi\) |
−0.150442 | + | 0.988619i | \(0.548070\pi\) | |||||||
\(684\) | −343.230 | + | 891.250i | −0.501798 | + | 1.30300i | ||||
\(685\) | 707.728 | − | 422.533i | 1.03318 | − | 0.616837i | ||||
\(686\) | 275.810 | + | 1245.71i | 0.402056 | + | 1.81591i | ||||
\(687\) | 22.0531 | + | 282.169i | 0.0321006 | + | 0.410727i | ||||
\(688\) | −1045.27 | − | 603.486i | −1.51929 | − | 0.877160i | ||||
\(689\) | −447.275 | + | 258.234i | −0.649165 | + | 0.374795i | ||||
\(690\) | −136.747 | + | 297.409i | −0.198184 | + | 0.431027i | ||||
\(691\) | 200.957 | − | 348.068i | 0.290821 | − | 0.503716i | −0.683183 | − | 0.730247i | \(-0.739405\pi\) |
0.974004 | + | 0.226531i | \(0.0727383\pi\) | |||||||
\(692\) | 641.047 | 0.926369 | ||||||||
\(693\) | −440.347 | + | 586.471i | −0.635422 | + | 0.846279i | ||||
\(694\) | 2320.99 | 3.34437 | ||||||||
\(695\) | 18.4017 | + | 1257.49i | 0.0264772 | + | 1.80933i | ||||
\(696\) | 1413.83 | + | 2059.53i | 2.03137 | + | 2.95910i | ||||
\(697\) | −61.4809 | + | 35.4960i | −0.0882079 | + | 0.0509268i | ||||
\(698\) | −47.5714 | + | 82.3960i | −0.0681538 | + | 0.118046i | ||||
\(699\) | 52.5181 | + | 671.969i | 0.0751332 | + | 0.961329i | ||||
\(700\) | −421.162 | + | 1669.10i | −0.601660 | + | 2.38443i | ||||
\(701\) | 189.635i | 0.270520i | 0.990810 | + | 0.135260i | \(0.0431870\pi\) | ||||
−0.990810 | + | 0.135260i | \(0.956813\pi\) | |||||||
\(702\) | 264.647 | − | 888.119i | 0.376990 | − | 1.26513i | ||||
\(703\) | 216.612 | − | 125.061i | 0.308126 | − | 0.177897i | ||||
\(704\) | −850.141 | + | 490.829i | −1.20759 | + | 0.697201i | ||||
\(705\) | 898.530 | − | 83.4694i | 1.27451 | − | 0.118396i | ||||
\(706\) | −733.106 | −1.03839 | ||||||||
\(707\) | −108.053 | − | 30.6544i | −0.152833 | − | 0.0433584i | ||||
\(708\) | 789.388 | − | 61.6950i | 1.11495 | − | 0.0871398i | ||||
\(709\) | 223.924 | − | 387.847i | 0.315830 | − | 0.547034i | −0.663783 | − | 0.747925i | \(-0.731050\pi\) |
0.979614 | + | 0.200891i | \(0.0643836\pi\) | |||||||
\(710\) | 567.308 | − | 1016.68i | 0.799026 | − | 1.43194i | ||||
\(711\) | −175.418 | − | 217.104i | −0.246720 | − | 0.305351i | ||||
\(712\) | −744.651 | − | 429.925i | −1.04586 | − | 0.603827i | ||||
\(713\) | 184.713 | 0.259065 | ||||||||
\(714\) | 239.466 | + | 48.1529i | 0.335387 | + | 0.0674410i | ||||
\(715\) | 461.133 | − | 275.309i | 0.644941 | − | 0.385048i | ||||
\(716\) | −1386.25 | − | 800.352i | −1.93610 | − | 1.11781i | ||||
\(717\) | −459.290 | − | 669.049i | −0.640572 | − | 0.933123i | ||||
\(718\) | −1497.51 | + | 864.586i | −2.08566 | + | 1.20416i | ||||
\(719\) | −570.467 | − | 329.359i | −0.793418 | − | 0.458080i | 0.0477467 | − | 0.998859i | \(-0.484796\pi\) |
−0.841164 | + | 0.540780i | \(0.818129\pi\) | |||||||
\(720\) | −1432.26 | + | 1192.31i | −1.98925 | + | 1.65598i | ||||
\(721\) | 220.513 | + | 873.932i | 0.305844 | + | 1.21211i | ||||
\(722\) | 909.928 | 1.26029 | ||||||||
\(723\) | 159.638 | + | 76.2496i | 0.220799 | + | 0.105463i | ||||
\(724\) | −750.915 | − | 1300.62i | −1.03718 | − | 1.79644i | ||||
\(725\) | 28.0571 | + | 958.443i | 0.0386995 | + | 1.32199i | ||||
\(726\) | −146.148 | − | 69.8066i | −0.201306 | − | 0.0961523i | ||||
\(727\) | − | 487.145i | − | 0.670075i | −0.942205 | − | 0.335038i | \(-0.891251\pi\) | ||
0.942205 | − | 0.335038i | \(-0.108749\pi\) | |||||||
\(728\) | 1005.98 | − | 976.961i | 1.38185 | − | 1.34198i | ||||
\(729\) | −650.618 | + | 328.842i | −0.892481 | + | 0.451086i | ||||
\(730\) | −806.989 | + | 11.8092i | −1.10546 | + | 0.0161770i | ||||
\(731\) | −78.9236 | + | 45.5665i | −0.107967 | + | 0.0623345i | ||||
\(732\) | 965.867 | − | 663.050i | 1.31949 | − | 0.905806i | ||||
\(733\) | −281.918 | − | 162.765i | −0.384608 | − | 0.222054i | 0.295213 | − | 0.955431i | \(-0.404609\pi\) |
−0.679821 | + | 0.733378i | \(0.737943\pi\) | |||||||
\(734\) | 1520.46i | 2.07147i | ||||||||
\(735\) | −611.983 | + | 407.065i | −0.832630 | + | 0.553830i | ||||
\(736\) | −394.260 | −0.535679 | ||||||||
\(737\) | 580.930 | − | 1006.20i | 0.788236 | − | 1.36526i | ||||
\(738\) | 591.201 | − | 477.683i | 0.801085 | − | 0.647267i | ||||
\(739\) | −147.919 | − | 256.204i | −0.200161 | − | 0.346690i | 0.748419 | − | 0.663226i | \(-0.230813\pi\) |
−0.948580 | + | 0.316537i | \(0.897480\pi\) | |||||||
\(740\) | 1140.21 | − | 16.6855i | 1.54082 | − | 0.0225479i | ||||
\(741\) | 297.717 | − | 23.2682i | 0.401777 | − | 0.0314011i | ||||
\(742\) | 1015.38 | + | 1045.54i | 1.36843 | + | 1.40908i | ||||
\(743\) | −509.432 | −0.685642 | −0.342821 | − | 0.939401i | \(-0.611382\pi\) | ||||
−0.342821 | + | 0.939401i | \(0.611382\pi\) | |||||||
\(744\) | 1850.47 | + | 883.860i | 2.48718 | + | 1.18798i | ||||
\(745\) | 586.777 | − | 1051.57i | 0.787620 | − | 1.41150i | ||||
\(746\) | 2343.44 | − | 1352.99i | 3.14134 | − | 1.81365i | ||||
\(747\) | 302.696 | − | 785.998i | 0.405216 | − | 1.05221i | ||||
\(748\) | 358.060i | 0.478690i | ||||||||
\(749\) | 1081.20 | − | 272.811i | 1.44352 | − | 0.364234i | ||||
\(750\) | −1384.56 | + | 169.612i | −1.84608 | + | 0.226149i | ||||
\(751\) | 435.784 | − | 754.800i | 0.580272 | − | 1.00506i | −0.415175 | − | 0.909742i | \(-0.636280\pi\) |
0.995447 | − | 0.0953188i | \(-0.0303870\pi\) | |||||||
\(752\) | 1245.70 | + | 2157.62i | 1.65652 | + | 2.86918i | ||||
\(753\) | 64.5271 | + | 93.9968i | 0.0856934 | + | 0.124830i | ||||
\(754\) | 658.207 | − | 1140.05i | 0.872954 | − | 1.51200i | ||||
\(755\) | 194.141 | − | 115.908i | 0.257141 | − | 0.153520i | ||||
\(756\) | −1857.45 | − | 78.8855i | −2.45695 | − | 0.104346i | ||||
\(757\) | 723.110i | 0.955231i | 0.878569 | + | 0.477615i | \(0.158499\pi\) | ||||
−0.878569 | + | 0.477615i | \(0.841501\pi\) | |||||||
\(758\) | −478.616 | + | 828.987i | −0.631420 | + | 1.09365i | ||||
\(759\) | −115.955 | − | 168.912i | −0.152774 | − | 0.222546i | ||||
\(760\) | −1022.65 | − | 570.641i | −1.34559 | − | 0.750843i | ||||
\(761\) | −911.610 | − | 526.318i | −1.19791 | − | 0.691614i | −0.237821 | − | 0.971309i | \(-0.576433\pi\) |
−0.960089 | + | 0.279695i | \(0.909767\pi\) | |||||||
\(762\) | 524.958 | − | 41.0284i | 0.688921 | − | 0.0538430i | ||||
\(763\) | 49.4631 | − | 174.351i | 0.0648271 | − | 0.228507i | ||||
\(764\) | − | 2061.85i | − | 2.69876i | ||||||
\(765\) | 23.8928 | + | 138.668i | 0.0312324 | + | 0.181265i | ||||
\(766\) | 236.631 | + | 409.857i | 0.308918 | + | 0.535061i | ||||
\(767\) | −123.788 | − | 214.407i | −0.161393 | − | 0.279540i | ||||
\(768\) | 461.336 | + | 220.354i | 0.600698 | + | 0.286919i | ||||
\(769\) | −855.690 | −1.11273 | −0.556365 | − | 0.830938i | \(-0.687804\pi\) | ||||
−0.556365 | + | 0.830938i | \(0.687804\pi\) | |||||||
\(770\) | −1071.66 | − | 1071.67i | −1.39177 | − | 1.39178i | ||||
\(771\) | 100.020 | + | 1279.76i | 0.129728 | + | 1.65987i | ||||
\(772\) | 1009.80 | + | 583.011i | 1.30804 | + | 0.755196i | ||||
\(773\) | 603.552 | + | 1045.38i | 0.780792 | + | 1.35237i | 0.931481 | + | 0.363790i | \(0.118517\pi\) |
−0.150689 | + | 0.988581i | \(0.548149\pi\) | |||||||
\(774\) | 758.930 | − | 613.206i | 0.980529 | − | 0.792256i | ||||
\(775\) | 413.341 | + | 669.864i | 0.533344 | + | 0.864341i | ||||
\(776\) | 2600.28i | 3.35088i | ||||||||
\(777\) | 365.393 | + | 321.794i | 0.470262 | + | 0.414149i | ||||
\(778\) | − | 395.225i | − | 0.508002i | ||||||
\(779\) | 212.111 | + | 122.462i | 0.272286 | + | 0.157205i | ||||
\(780\) | 1236.97 | + | 568.750i | 1.58585 | + | 0.729167i | ||||
\(781\) | 364.352 | + | 631.077i | 0.466520 | + | 0.808037i | ||||
\(782\) | −34.1189 | + | 59.0957i | −0.0436303 | + | 0.0755699i | ||||
\(783\) | −1007.34 | + | 240.107i | −1.28651 | + | 0.306650i | ||||
\(784\) | −1726.93 | − | 1065.62i | −2.20271 | − | 1.35921i | ||||
\(785\) | 4.85015 | + | 8.12382i | 0.00617853 | + | 0.0103488i | ||||
\(786\) | 704.092 | − | 1474.10i | 0.895791 | − | 1.87544i | ||||
\(787\) | −64.9569 | + | 37.5029i | −0.0825374 | + | 0.0476530i | −0.540701 | − | 0.841215i | \(-0.681841\pi\) |
0.458163 | + | 0.888868i | \(0.348507\pi\) | |||||||
\(788\) | −786.498 | − | 1362.26i | −0.998094 | − | 1.72875i | ||||
\(789\) | 93.0948 | + | 44.4660i | 0.117991 | + | 0.0563574i | ||||
\(790\) | 495.252 | − | 295.680i | 0.626902 | − | 0.374278i | ||||
\(791\) | −622.535 | − | 641.029i | −0.787022 | − | 0.810403i | ||||
\(792\) | −353.393 | − | 2247.02i | −0.446204 | − | 2.83715i | ||||
\(793\) | −317.241 | − | 183.159i | −0.400051 | − | 0.230970i | ||||
\(794\) | −434.773 | + | 251.016i | −0.547573 | + | 0.316141i | ||||
\(795\) | −350.742 | + | 762.823i | −0.441185 | + | 0.959526i | ||||
\(796\) | 426.756 | − | 739.163i | 0.536125 | − | 0.928596i | ||||
\(797\) | 310.943 | 0.390142 | 0.195071 | − | 0.980789i | \(-0.437506\pi\) | ||||
0.195071 | + | 0.980789i | \(0.437506\pi\) | |||||||
\(798\) | −269.211 | − | 798.544i | −0.337357 | − | 1.00068i | ||||
\(799\) | 188.115 | 0.235438 | ||||||||
\(800\) | −882.254 | − | 1429.79i | −1.10282 | − | 1.78723i | ||||
\(801\) | 277.249 | − | 224.014i | 0.346128 | − | 0.279667i | ||||
\(802\) | 1406.48 | − | 812.032i | 1.75372 | − | 1.01251i | ||||
\(803\) | 252.575 | − | 437.473i | 0.314539 | − | 0.544798i | ||||
\(804\) | 2936.35 | − | 229.492i | 3.65218 | − | 0.285438i | ||||
\(805\) | −53.1438 | − | 198.338i | −0.0660171 | − | 0.246382i | ||||
\(806\) | − | 1080.65i | − | 1.34076i | ||||||
\(807\) | −583.071 | + | 1220.73i | −0.722517 | + | 1.51267i | ||||
\(808\) | 301.687 | − | 174.179i | 0.373375 | − | 0.215568i | ||||
\(809\) | −816.209 | + | 471.238i | −1.00891 | + | 0.582495i | −0.910873 | − | 0.412688i | \(-0.864590\pi\) |
−0.0980383 | + | 0.995183i | \(0.531257\pi\) | |||||||
\(810\) | −483.353 | − | 1426.86i | −0.596732 | − | 1.76155i | ||||
\(811\) | 129.107 | 0.159195 | 0.0795974 | − | 0.996827i | \(-0.474637\pi\) | ||||
0.0795974 | + | 0.996827i | \(0.474637\pi\) | |||||||
\(812\) | −2540.67 | − | 720.784i | −3.12890 | − | 0.887665i | ||||
\(813\) | −52.6703 | − | 673.917i | −0.0647851 | − | 0.828926i | ||||
\(814\) | −501.985 | + | 869.463i | −0.616689 | + | 1.06814i | ||||
\(815\) | 326.333 | − | 584.824i | 0.400409 | − | 0.717575i | ||||
\(816\) | −320.281 | + | 219.867i | −0.392501 | + | 0.269445i | ||||
\(817\) | 272.289 | + | 157.206i | 0.333279 | + | 0.192419i | ||||
\(818\) | −1675.29 | −2.04803 | ||||||||
\(819\) | 228.061 | + | 534.702i | 0.278463 | + | 0.652872i | ||||
\(820\) | 572.406 | + | 958.759i | 0.698056 | + | 1.16922i | ||||
\(821\) | −564.281 | − | 325.788i | −0.687310 | − | 0.396818i | 0.115294 | − | 0.993331i | \(-0.463219\pi\) |
−0.802603 | + | 0.596513i | \(0.796552\pi\) | |||||||
\(822\) | −1516.66 | + | 1041.16i | −1.84509 | + | 1.26662i | ||||
\(823\) | 249.617 | − | 144.116i | 0.303301 | − | 0.175111i | −0.340624 | − | 0.940200i | \(-0.610638\pi\) |
0.643925 | + | 0.765089i | \(0.277305\pi\) | |||||||
\(824\) | −2420.99 | − | 1397.76i | −2.93809 | − | 1.69631i | ||||
\(825\) | 353.084 | − | 798.497i | 0.427980 | − | 0.967875i | ||||
\(826\) | −501.195 | + | 486.735i | −0.606774 | + | 0.589268i | ||||
\(827\) | −540.269 | −0.653287 | −0.326644 | − | 0.945148i | \(-0.605918\pi\) | ||||
−0.326644 | + | 0.945148i | \(0.605918\pi\) | |||||||
\(828\) | 186.654 | − | 484.678i | 0.225428 | − | 0.585360i | ||||
\(829\) | −12.6660 | − | 21.9382i | −0.0152787 | − | 0.0264634i | 0.858285 | − | 0.513173i | \(-0.171530\pi\) |
−0.873564 | + | 0.486710i | \(0.838197\pi\) | |||||||
\(830\) | 1519.96 | + | 848.141i | 1.83128 | + | 1.02186i | ||||
\(831\) | −339.876 | + | 711.569i | −0.408996 | + | 0.856281i | ||||
\(832\) | 778.097i | 0.935213i | ||||||||
\(833\) | −134.877 | + | 72.6932i | −0.161917 | + | 0.0872667i | ||||
\(834\) | −218.702 | − | 2798.30i | −0.262233 | − | 3.35527i | ||||
\(835\) | −1.72991 | − | 118.214i | −0.00207175 | − | 0.141574i | ||||
\(836\) | 1069.82 | − | 617.659i | 1.27968 | − | 0.738826i | ||||
\(837\) | −617.591 | + | 584.163i | −0.737863 | + | 0.697925i | ||||
\(838\) | 2238.87 | + | 1292.61i | 2.67168 | + | 1.54250i | ||||
\(839\) | 1510.52i | 1.80038i | 0.435496 | + | 0.900191i | \(0.356573\pi\) | ||||
−0.435496 | + | 0.900191i | \(0.643427\pi\) | |||||||
\(840\) | 416.657 | − | 2241.25i | 0.496020 | − | 2.66816i | ||||
\(841\) | −630.039 | −0.749154 | ||||||||
\(842\) | 213.609 | − | 369.982i | 0.253693 | − | 0.439409i | ||||
\(843\) | 450.006 | + | 655.524i | 0.533814 | + | 0.777609i | ||||
\(844\) | 1433.04 | + | 2482.10i | 1.69792 | + | 2.94088i | ||||
\(845\) | 6.13530 | + | 419.258i | 0.00726071 | + | 0.496164i | ||||
\(846\) | −1989.57 | + | 312.903i | −2.35174 | + | 0.369862i | ||||
\(847\) | 98.5092 | − | 24.8561i | 0.116304 | − | 0.0293461i | ||||
\(848\) | −2318.01 | −2.73351 | ||||||||
\(849\) | 272.911 | − | 571.372i | 0.321450 | − | 0.672994i | ||||
\(850\) | −290.661 | + | 8.50870i | −0.341954 | + | 0.0100102i | ||||
\(851\) | −117.798 | + | 68.0105i | −0.138423 | + | 0.0799184i | ||||
\(852\) | −796.172 | + | 1666.88i | −0.934474 | + | 1.95643i | ||||
\(853\) | − | 1670.44i | − | 1.95832i | −0.203102 | − | 0.979158i | \(-0.565102\pi\) | ||
0.203102 | − | 0.979158i | \(-0.434898\pi\) | |||||||
\(854\) | −282.133 | + | 994.483i | −0.330367 | + | 1.16450i | ||||
\(855\) | 373.099 | − | 310.592i | 0.436373 | − | 0.363265i | ||||
\(856\) | −1729.26 | + | 2995.16i | −2.02016 | + | 3.49902i | ||||
\(857\) | 7.88687 | + | 13.6605i | 0.00920288 | + | 0.0159399i | 0.870590 | − | 0.492009i | \(-0.163737\pi\) |
−0.861387 | + | 0.507949i | \(0.830404\pi\) | |||||||
\(858\) | −988.210 | + | 678.388i | −1.15176 | + | 0.790663i | ||||
\(859\) | −714.577 | + | 1237.68i | −0.831871 | + | 1.44084i | 0.0646819 | + | 0.997906i | \(0.479397\pi\) |
−0.896553 | + | 0.442937i | \(0.853937\pi\) | |||||||
\(860\) | 734.803 | + | 1230.77i | 0.854422 | + | 1.43113i | ||||
\(861\) | −93.9903 | + | 467.417i | −0.109164 | + | 0.542877i | ||||
\(862\) | − | 1341.13i | − | 1.55583i | ||||||
\(863\) | 206.513 | − | 357.692i | 0.239297 | − | 0.414475i | −0.721216 | − | 0.692711i | \(-0.756416\pi\) |
0.960513 | + | 0.278236i | \(0.0897496\pi\) | |||||||
\(864\) | 1318.21 | − | 1246.86i | 1.52571 | − | 1.44313i | ||||
\(865\) | −284.545 | − | 158.777i | −0.328954 | − | 0.183557i | ||||
\(866\) | 1903.09 | + | 1098.75i | 2.19757 | + | 1.26877i | ||||
\(867\) | −65.2692 | − | 835.120i | −0.0752817 | − | 0.963230i | ||||
\(868\) | −2102.07 | + | 530.401i | −2.42174 | + | 0.611061i | ||||
\(869\) | 361.022i | 0.415445i | ||||||||
\(870\) | −197.946 | − | 2130.85i | −0.227524 | − | 2.44925i | ||||
\(871\) | −460.465 | − | 797.550i | −0.528663 | − | 0.915671i | ||||
\(872\) | 281.051 | + | 486.794i | 0.322306 | + | 0.558250i | ||||
\(873\) | −1005.90 | − | 387.382i | −1.15223 | − | 0.443737i | ||||
\(874\) | 235.423 | 0.269362 | ||||||||
\(875\) | 600.351 | − | 636.556i | 0.686115 | − | 0.727493i | ||||
\(876\) | 1276.66 | − | 99.7779i | 1.45737 | − | 0.113902i | ||||
\(877\) | −590.516 | − | 340.935i | −0.673336 | − | 0.388751i | 0.124003 | − | 0.992282i | \(-0.460427\pi\) |
−0.797340 | + | 0.603531i | \(0.793760\pi\) | |||||||
\(878\) | −874.700 | − | 1515.02i | −0.996241 | − | 1.72554i | ||||
\(879\) | 596.986 | − | 409.820i | 0.679165 | − | 0.466234i | ||||
\(880\) | 2410.20 | − | 35.2701i | 2.73886 | − | 0.0400797i | ||||
\(881\) | − | 1255.68i | − | 1.42529i | −0.701525 | − | 0.712644i | \(-0.747497\pi\) | ||
0.701525 | − | 0.712644i | \(-0.252503\pi\) | |||||||
\(882\) | 1305.59 | − | 993.177i | 1.48026 | − | 1.12605i | ||||
\(883\) | 533.108i | 0.603746i | 0.953348 | + | 0.301873i | \(0.0976119\pi\) | ||||
−0.953348 | + | 0.301873i | \(0.902388\pi\) | |||||||
\(884\) | 245.787 | + | 141.905i | 0.278040 | + | 0.160526i | ||||
\(885\) | −365.670 | − | 168.133i | −0.413187 | − | 0.189981i | ||||
\(886\) | −370.727 | − | 642.118i | −0.418428 | − | 0.724739i | ||||
\(887\) | 474.138 | − | 821.231i | 0.534541 | − | 0.925852i | −0.464645 | − | 0.885497i | \(-0.653818\pi\) |
0.999185 | − | 0.0403546i | \(-0.0128488\pi\) | |||||||
\(888\) | −1505.54 | + | 117.666i | −1.69542 | + | 0.132507i | ||||
\(889\) | −236.950 | + | 230.114i | −0.266536 | + | 0.258846i | ||||
\(890\) | 377.592 | + | 632.452i | 0.424261 | + | 0.710621i | ||||
\(891\) | 921.891 | + | 198.047i | 1.03467 | + | 0.222275i | ||||
\(892\) | −2705.01 | + | 1561.74i | −3.03252 | + | 1.75083i | ||||
\(893\) | −324.502 | − | 562.053i | −0.363384 | − | 0.629399i | ||||
\(894\) | −1158.36 | + | 2425.17i | −1.29571 | + | 2.71272i | ||||
\(895\) | 417.088 | + | 698.608i | 0.466021 | + | 0.780567i | ||||
\(896\) | 304.515 | − | 76.8362i | 0.339861 | − | 0.0857547i | ||||
\(897\) | −161.904 | + | 12.6537i | −0.180495 | + | 0.0141067i | ||||
\(898\) | 1354.89 | + | 782.245i | 1.50878 | + | 0.871097i | ||||
\(899\) | −1045.80 | + | 603.791i | −1.16329 | + | 0.671626i | ||||
\(900\) | 2175.37 | − | 407.683i | 2.41708 | − | 0.452981i | ||||
\(901\) | −87.5115 | + | 151.574i | −0.0971270 | + | 0.168229i | ||||
\(902\) | −983.106 | −1.08992 | ||||||||
\(903\) | −120.656 | + | 600.028i | −0.133617 | + | 0.664483i | ||||
\(904\) | 2771.47 | 3.06578 | ||||||||
\(905\) | 11.1699 | + | 763.303i | 0.0123425 | + | 0.843429i | ||||
\(906\) | −416.046 | + | 285.608i | −0.459212 | + | 0.315241i | ||||
\(907\) | −716.729 | + | 413.803i | −0.790219 | + | 0.456233i | −0.840040 | − | 0.542525i | \(-0.817468\pi\) |
0.0498207 | + | 0.998758i | \(0.484135\pi\) | |||||||
\(908\) | 543.634 | − | 941.602i | 0.598716 | − | 1.03701i | ||||
\(909\) | 22.4354 | + | 142.654i | 0.0246814 | + | 0.156935i | ||||
\(910\) | −1160.36 | + | 310.914i | −1.27512 | + | 0.341664i | ||||
\(911\) | − | 69.0341i | − | 0.0757784i | −0.999282 | − | 0.0378892i | \(-0.987937\pi\) | ||
0.999282 | − | 0.0378892i | \(-0.0120634\pi\) | |||||||
\(912\) | 1209.41 | + | 577.666i | 1.32611 | + | 0.633406i | ||||
\(913\) | −943.476 | + | 544.716i | −1.03338 | + | 0.596623i | ||||
\(914\) | −1613.45 | + | 931.527i | −1.76526 | + | 1.01918i | ||||
\(915\) | −592.951 | + | 55.0824i | −0.648034 | + | 0.0601994i | ||||
\(916\) | 928.022 | 1.01312 | ||||||||
\(917\) | 250.707 | + | 993.595i | 0.273399 | + | 1.08353i | ||||
\(918\) | −72.8156 | − | 305.490i | −0.0793198 | − | 0.332777i | ||||
\(919\) | −444.005 | + | 769.040i | −0.483139 | + | 0.836822i | −0.999813 | − | 0.0193606i | \(-0.993837\pi\) |
0.516673 | + | 0.856183i | \(0.327170\pi\) | |||||||
\(920\) | 556.135 | + | 310.324i | 0.604494 | + | 0.337309i | ||||
\(921\) | 642.664 | + | 936.171i | 0.697790 | + | 1.01647i | ||||
\(922\) | 221.998 | + | 128.170i | 0.240779 | + | 0.139014i | ||||
\(923\) | 577.597 | 0.625782 | ||||||||
\(924\) | 1804.62 | + | 1589.29i | 1.95306 | + | 1.72001i | ||||
\(925\) | −510.243 | − | 275.004i | −0.551614 | − | 0.297302i | ||||
\(926\) | 234.183 | + | 135.206i | 0.252897 | + | 0.146010i | ||||
\(927\) | 901.383 | − | 728.306i | 0.972365 | − | 0.785659i | ||||
\(928\) | 2232.20 | − | 1288.76i | 2.40538 | − | 1.38875i | ||||
\(929\) | −84.4871 | − | 48.7786i | −0.0909441 | − | 0.0525066i | 0.453838 | − | 0.891084i | \(-0.350054\pi\) |
−0.544782 | + | 0.838577i | \(0.683388\pi\) | |||||||
\(930\) | −1015.34 | − | 1433.63i | −1.09176 | − | 1.54153i | ||||
\(931\) | 449.858 | + | 277.590i | 0.483199 | + | 0.298163i | ||||
\(932\) | 2210.03 | 2.37127 | ||||||||
\(933\) | 161.472 | − | 338.060i | 0.173067 | − | 0.362337i | ||||
\(934\) | 250.821 | + | 434.434i | 0.268545 | + | 0.465133i | ||||
\(935\) | 88.6854 | − | 158.934i | 0.0948507 | − | 0.169983i | ||||
\(936\) | −1682.51 | − | 647.951i | −1.79755 | − | 0.692256i | ||||
\(937\) | − | 297.973i | − | 0.318008i | −0.987278 | − | 0.159004i | \(-0.949172\pi\) | ||
0.987278 | − | 0.159004i | \(-0.0508282\pi\) | |||||||
\(938\) | −1864.34 | + | 1810.55i | −1.98757 | + | 1.93022i | ||||
\(939\) | −691.587 | + | 54.0513i | −0.736515 | + | 0.0575627i | ||||
\(940\) | −43.2945 | − | 2958.54i | −0.0460579 | − | 3.14739i | ||||
\(941\) | 1498.40 | − | 865.100i | 1.59234 | − | 0.919341i | 0.599441 | − | 0.800419i | \(-0.295389\pi\) |
0.992904 | − | 0.118922i | \(-0.0379439\pi\) | |||||||
\(942\) | −11.9512 | − | 17.4094i | −0.0126871 | − | 0.0184813i | ||||
\(943\) | −115.350 | − | 66.5972i | −0.122322 | − | 0.0706227i | ||||
\(944\) | − | 1111.17i | − | 1.17709i | ||||||
\(945\) | 804.938 | + | 495.075i | 0.851787 | + | 0.523889i | ||||
\(946\) | −1262.02 | −1.33406 | ||||||||
\(947\) | 186.517 | − | 323.056i | 0.196955 | − | 0.341137i | −0.750584 | − | 0.660775i | \(-0.770228\pi\) |
0.947540 | + | 0.319638i | \(0.103561\pi\) | |||||||
\(948\) | −754.512 | + | 517.959i | −0.795898 | + | 0.546370i | ||||
\(949\) | −200.200 | − | 346.756i | −0.210959 | − | 0.365391i | ||||
\(950\) | 526.816 | + | 853.762i | 0.554543 | + | 0.898697i | ||||
\(951\) | 37.5962 | + | 481.044i | 0.0395333 | + | 0.505829i | ||||
\(952\) | 129.700 | − | 457.177i | 0.136240 | − | 0.480228i | ||||
\(953\) | −215.752 | −0.226393 | −0.113196 | − | 0.993573i | \(-0.536109\pi\) | ||||
−0.113196 | + | 0.993573i | \(0.536109\pi\) | |||||||
\(954\) | 673.429 | − | 1748.67i | 0.705901 | − | 1.83298i | ||||
\(955\) | −510.687 | + | 915.205i | −0.534750 | + | 0.958330i | ||||
\(956\) | −2304.41 | + | 1330.45i | −2.41047 | + | 1.39168i | ||||
\(957\) | 1208.65 | + | 577.302i | 1.26296 | + | 0.603242i | ||||
\(958\) | − | 1750.12i | − | 1.82685i | ||||||
\(959\) | 314.951 | − | 1110.16i | 0.328416 | − | 1.15762i | ||||
\(960\) | 731.070 | + | 1032.25i | 0.761531 | + | 1.07526i | ||||
\(961\) | −15.1552 | + | 26.2495i | −0.0157702 | + | 0.0273148i | ||||
\(962\) | 397.891 | + | 689.167i | 0.413608 | + | 0.716390i | ||||
\(963\) | −901.036 | − | 1115.16i | −0.935655 | − | 1.15801i | ||||
\(964\) | 290.038 | − | 502.361i | 0.300870 | − | 0.521121i | ||||
\(965\) | −303.825 | − | 508.896i | −0.314845 | − | 0.527353i | ||||
\(966\) | 146.402 | + | 434.263i | 0.151554 | + | 0.449547i | ||||
\(967\) | − | 861.396i | − | 0.890792i | −0.895334 | − | 0.445396i | \(-0.853063\pi\) | ||
0.895334 | − | 0.445396i | \(-0.146937\pi\) | |||||||
\(968\) | −157.554 | + | 272.892i | −0.162763 | + | 0.281914i | ||||
\(969\) | 83.4321 | − | 57.2746i | 0.0861012 | − | 0.0591069i | ||||
\(970\) | 1085.43 | − | 1945.20i | 1.11900 | − | 2.00536i | ||||
\(971\) | −772.696 | − | 446.116i | −0.795774 | − | 0.459440i | 0.0462176 | − | 0.998931i | \(-0.485283\pi\) |
−0.841991 | + | 0.539491i | \(0.818617\pi\) | |||||||
\(972\) | 908.733 | + | 2210.83i | 0.934910 | + | 2.27452i | ||||
\(973\) | 1226.63 | + | 1263.07i | 1.26067 | + | 1.29812i | ||||
\(974\) | 746.033i | 0.765947i | ||||||||
\(975\) | −408.189 | − | 558.830i | −0.418655 | − | 0.573159i | ||||
\(976\) | −822.055 | − | 1423.84i | −0.842270 | − | 1.45885i | ||||
\(977\) | −362.674 | − | 628.171i | −0.371212 | − | 0.642959i | 0.618540 | − | 0.785753i | \(-0.287724\pi\) |
−0.989752 | + | 0.142795i | \(0.954391\pi\) | |||||||
\(978\) | −644.217 | + | 1348.74i | −0.658709 | + | 1.37908i | ||||
\(979\) | −461.036 | −0.470925 | ||||||||
\(980\) | 1174.31 | + | 2104.52i | 1.19828 | + | 2.14747i | ||||
\(981\) | −230.182 | + | 36.2012i | −0.234641 | + | 0.0369023i | ||||
\(982\) | −2399.20 | − | 1385.18i | −2.44318 | − | 1.41057i | ||||
\(983\) | −51.0316 | − | 88.3893i | −0.0519141 | − | 0.0899179i | 0.838901 | − | 0.544285i | \(-0.183199\pi\) |
−0.890815 | + | 0.454367i | \(0.849866\pi\) | |||||||
\(984\) | −836.909 | − | 1219.13i | −0.850517 | − | 1.23895i | ||||
\(985\) | 11.6993 | + | 799.473i | 0.0118774 | + | 0.811648i | ||||
\(986\) | − | 446.112i | − | 0.452446i | ||||||
\(987\) | 834.972 | − | 948.102i | 0.845970 | − | 0.960589i | ||||
\(988\) | − | 979.156i | − | 0.991049i | ||||||
\(989\) | −148.075 | − | 85.4914i | −0.149722 | − | 0.0864423i | ||||
\(990\) | −673.604 | + | 1828.46i | −0.680408 | + | 1.84692i | ||||
\(991\) | −788.453 | − | 1365.64i | −0.795614 | − | 1.37804i | −0.922449 | − | 0.386120i | \(-0.873815\pi\) |
0.126835 | − | 0.991924i | \(-0.459518\pi\) | |||||||
\(992\) | 1057.95 | − | 1832.42i | 1.06648 | − | 1.84720i | ||||
\(993\) | −107.175 | − | 1371.30i | −0.107930 | − | 1.38097i | ||||
\(994\) | −398.775 | − | 1580.41i | −0.401182 | − | 1.58995i | ||||
\(995\) | −372.504 | + | 222.396i | −0.374376 | + | 0.223513i | ||||
\(996\) | −2492.03 | − | 1190.30i | −2.50204 | − | 1.19508i | ||||
\(997\) | −46.1312 | + | 26.6339i | −0.0462700 | + | 0.0267140i | −0.522957 | − | 0.852359i | \(-0.675171\pi\) |
0.476687 | + | 0.879073i | \(0.341838\pi\) | |||||||
\(998\) | 997.834 | + | 1728.30i | 0.999833 | + | 1.73176i | ||||
\(999\) | 178.772 | − | 599.934i | 0.178951 | − | 0.600535i |
(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 | 105.3.o.b.44.20 | yes | 40 | |
3.2 | odd | 2 | inner | 105.3.o.b.44.2 | yes | 40 | |
5.4 | even | 2 | inner | 105.3.o.b.44.1 | ✓ | 40 | |
7.4 | even | 3 | inner | 105.3.o.b.74.19 | yes | 40 | |
15.14 | odd | 2 | inner | 105.3.o.b.44.19 | yes | 40 | |
21.11 | odd | 6 | inner | 105.3.o.b.74.1 | yes | 40 | |
35.4 | even | 6 | inner | 105.3.o.b.74.2 | yes | 40 | |
105.74 | odd | 6 | inner | 105.3.o.b.74.20 | yes | 40 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
105.3.o.b.44.1 | ✓ | 40 | 5.4 | even | 2 | inner | |
105.3.o.b.44.2 | yes | 40 | 3.2 | odd | 2 | inner | |
105.3.o.b.44.19 | yes | 40 | 15.14 | odd | 2 | inner | |
105.3.o.b.44.20 | yes | 40 | 1.1 | even | 1 | trivial | |
105.3.o.b.74.1 | yes | 40 | 21.11 | odd | 6 | inner | |
105.3.o.b.74.2 | yes | 40 | 35.4 | even | 6 | inner | |
105.3.o.b.74.19 | yes | 40 | 7.4 | even | 3 | inner | |
105.3.o.b.74.20 | yes | 40 | 105.74 | odd | 6 | inner |