Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [225,4,Mod(46,225)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(225, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([0, 6]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("225.46");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 225 = 3^{2} \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 225.h (of order \(5\), degree \(4\), 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: | \(13.2754297513\) |
Analytic rank: | \(0\) |
Dimension: | \(64\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{5})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 46.4 | ||
Character | \(\chi\) | \(=\) | 225.46 |
Dual form | 225.4.h.d.181.4 |
$q$-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 \(\left(\mathbb{Z}/225\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{3}{5}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.20400 | + | 3.70554i | −0.425680 | + | 1.31011i | 0.476662 | + | 0.879086i | \(0.341846\pi\) |
−0.902342 | + | 0.431021i | \(0.858154\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −5.80928 | − | 4.22069i | −0.726160 | − | 0.527586i | ||||
\(5\) | 3.34114 | − | 10.6694i | 0.298841 | − | 0.954303i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 6.27975 | 0.339075 | 0.169537 | − | 0.985524i | \(-0.445773\pi\) | ||||
0.169537 | + | 0.985524i | \(0.445773\pi\) | |||||||
\(8\) | −2.58263 | + | 1.87639i | −0.114137 | + | 0.0829257i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 35.5133 | + | 25.2268i | 1.12303 | + | 0.797741i | ||||
\(11\) | −13.6357 | + | 41.9663i | −0.373756 | + | 1.15030i | 0.570559 | + | 0.821257i | \(0.306727\pi\) |
−0.944314 | + | 0.329045i | \(0.893273\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −13.2560 | − | 40.7979i | −0.282812 | − | 0.870407i | −0.987046 | − | 0.160438i | \(-0.948709\pi\) |
0.704233 | − | 0.709968i | \(-0.251291\pi\) | |||||||
\(14\) | −7.56084 | + | 23.2699i | −0.144337 | + | 0.444224i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −21.5951 | − | 66.4630i | −0.337424 | − | 1.03848i | ||||
\(17\) | −81.6862 | + | 59.3485i | −1.16540 | + | 0.846713i | −0.990451 | − | 0.137864i | \(-0.955976\pi\) |
−0.174949 | + | 0.984577i | \(0.555976\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −65.1304 | + | 47.3200i | −0.786417 | + | 0.571366i | −0.906898 | − | 0.421350i | \(-0.861556\pi\) |
0.120481 | + | 0.992716i | \(0.461556\pi\) | |||||||
\(20\) | −64.4420 | + | 47.8798i | −0.720484 | + | 0.535313i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −139.090 | − | 101.055i | −1.34792 | − | 0.979320i | ||||
\(23\) | −48.5949 | + | 149.560i | −0.440554 | + | 1.35589i | 0.446733 | + | 0.894667i | \(0.352587\pi\) |
−0.887287 | + | 0.461218i | \(0.847413\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −102.674 | − | 71.2962i | −0.821388 | − | 0.570369i | ||||
\(26\) | 167.138 | 1.26071 | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −36.4808 | − | 26.5049i | −0.246223 | − | 0.178891i | ||||
\(29\) | −199.754 | − | 145.129i | −1.27908 | − | 0.929306i | −0.279555 | − | 0.960130i | \(-0.590187\pi\) |
−0.999525 | + | 0.0308238i | \(0.990187\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 69.6687 | − | 50.6173i | 0.403641 | − | 0.293262i | −0.367381 | − | 0.930070i | \(-0.619746\pi\) |
0.771022 | + | 0.636808i | \(0.219746\pi\) | |||||||
\(32\) | 246.744 | 1.36308 | ||||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −121.568 | − | 374.147i | −0.613197 | − | 1.88723i | ||||
\(35\) | 20.9815 | − | 67.0014i | 0.101329 | − | 0.323580i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 61.0938 | + | 188.027i | 0.271453 | + | 0.835446i | 0.990136 | + | 0.140108i | \(0.0447451\pi\) |
−0.718683 | + | 0.695338i | \(0.755255\pi\) | |||||||
\(38\) | −96.9290 | − | 298.317i | −0.413788 | − | 1.27351i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 11.3911 | + | 33.8245i | 0.0450273 | + | 0.133703i | ||||
\(41\) | 17.2714 | + | 53.1560i | 0.0657889 | + | 0.202477i | 0.978547 | − | 0.206023i | \(-0.0660520\pi\) |
−0.912758 | + | 0.408500i | \(0.866052\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 211.713 | 0.750835 | 0.375418 | − | 0.926856i | \(-0.377499\pi\) | ||||
0.375418 | + | 0.926856i | \(0.377499\pi\) | |||||||
\(44\) | 256.340 | − | 186.242i | 0.878290 | − | 0.638115i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −495.692 | − | 360.141i | −1.58882 | − | 1.15435i | ||||
\(47\) | 85.9089 | + | 62.4165i | 0.266619 | + | 0.193710i | 0.713060 | − | 0.701103i | \(-0.247309\pi\) |
−0.446441 | + | 0.894813i | \(0.647309\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −303.565 | −0.885028 | ||||||||
\(50\) | 387.810 | − | 294.620i | 1.09689 | − | 0.833312i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −95.1871 | + | 292.956i | −0.253848 | + | 0.781263i | ||||
\(53\) | −153.468 | − | 111.501i | −0.397743 | − | 0.288978i | 0.370878 | − | 0.928682i | \(-0.379057\pi\) |
−0.768621 | + | 0.639704i | \(0.779057\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 402.198 | + | 285.700i | 0.986043 | + | 0.700433i | ||||
\(56\) | −16.2183 | + | 11.7833i | −0.0387011 | + | 0.0281180i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 778.288 | − | 565.459i | 1.76197 | − | 1.28014i | ||||
\(59\) | −140.608 | − | 432.747i | −0.310265 | − | 0.954896i | −0.977660 | − | 0.210193i | \(-0.932591\pi\) |
0.667395 | − | 0.744703i | \(-0.267409\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 171.878 | − | 528.986i | 0.360766 | − | 1.11032i | −0.591824 | − | 0.806067i | \(-0.701592\pi\) |
0.952590 | − | 0.304256i | \(-0.0984079\pi\) | |||||||
\(62\) | 103.683 | + | 319.104i | 0.212383 | + | 0.653649i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −124.319 | + | 382.615i | −0.242811 | + | 0.747295i | ||||
\(65\) | −479.580 | + | 5.12286i | −0.915148 | + | 0.00977558i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −773.054 | + | 561.657i | −1.40961 | + | 1.02414i | −0.416227 | + | 0.909261i | \(0.636648\pi\) |
−0.993380 | + | 0.114878i | \(0.963352\pi\) | |||||||
\(68\) | 725.030 | 1.29298 | ||||||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 223.015 | + | 158.418i | 0.380790 | + | 0.270494i | ||||
\(71\) | 454.325 | + | 330.086i | 0.759415 | + | 0.551747i | 0.898731 | − | 0.438501i | \(-0.144490\pi\) |
−0.139316 | + | 0.990248i | \(0.544490\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −54.7181 | + | 168.405i | −0.0877298 | + | 0.270004i | −0.985291 | − | 0.170886i | \(-0.945337\pi\) |
0.897561 | + | 0.440890i | \(0.145337\pi\) | |||||||
\(74\) | −770.300 | −1.21008 | ||||||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 578.084 | 0.872510 | ||||||||
\(77\) | −85.6286 | + | 263.538i | −0.126731 | + | 0.390038i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −769.301 | − | 558.930i | −1.09561 | − | 0.796007i | −0.115272 | − | 0.993334i | \(-0.536774\pi\) |
−0.980338 | + | 0.197327i | \(0.936774\pi\) | |||||||
\(80\) | −781.275 | + | 8.34556i | −1.09187 | + | 0.0116633i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −217.767 | −0.293272 | ||||||||
\(83\) | 11.3373 | − | 8.23700i | 0.0149931 | − | 0.0108931i | −0.580263 | − | 0.814429i | \(-0.697050\pi\) |
0.595257 | + | 0.803536i | \(0.297050\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 360.290 | + | 1069.84i | 0.459752 | + | 1.36518i | ||||
\(86\) | −254.903 | + | 784.511i | −0.319615 | + | 0.983675i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −43.5293 | − | 133.970i | −0.0527300 | − | 0.162286i | ||||
\(89\) | −143.004 | + | 440.120i | −0.170319 | + | 0.524187i | −0.999389 | − | 0.0349577i | \(-0.988870\pi\) |
0.829070 | + | 0.559145i | \(0.188870\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −83.2445 | − | 256.200i | −0.0958945 | − | 0.295133i | ||||
\(92\) | 913.547 | − | 663.731i | 1.03526 | − | 0.752160i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −334.722 | + | 243.189i | −0.367275 | + | 0.266841i | ||||
\(95\) | 287.268 | + | 853.007i | 0.310242 | + | 0.921228i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 1052.46 | + | 764.659i | 1.10166 | + | 0.800406i | 0.981331 | − | 0.192328i | \(-0.0616038\pi\) |
0.120333 | + | 0.992734i | \(0.461604\pi\) | |||||||
\(98\) | 365.493 | − | 1124.87i | 0.376739 | − | 1.15948i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 295.541 | + | 847.533i | 0.295541 | + | 0.847533i | ||||
\(101\) | −1277.21 | −1.25829 | −0.629143 | − | 0.777289i | \(-0.716594\pi\) | ||||
−0.629143 | + | 0.777289i | \(0.716594\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 895.730 | + | 650.786i | 0.856883 | + | 0.622562i | 0.927035 | − | 0.374975i | \(-0.122349\pi\) |
−0.0701525 | + | 0.997536i | \(0.522349\pi\) | |||||||
\(104\) | 110.788 | + | 80.4924i | 0.104459 | + | 0.0758936i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 597.946 | − | 434.433i | 0.547903 | − | 0.398075i | ||||
\(107\) | 184.425 | 0.166627 | 0.0833134 | − | 0.996523i | \(-0.473450\pi\) | ||||
0.0833134 | + | 0.996523i | \(0.473450\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 251.160 | + | 772.991i | 0.220704 | + | 0.679258i | 0.998699 | + | 0.0509874i | \(0.0162368\pi\) |
−0.777995 | + | 0.628270i | \(0.783763\pi\) | |||||||
\(110\) | −1542.92 | + | 1146.38i | −1.33738 | + | 0.993661i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −135.612 | − | 417.371i | −0.114412 | − | 0.352124i | ||||
\(113\) | −260.636 | − | 802.155i | −0.216978 | − | 0.667791i | −0.999007 | − | 0.0445486i | \(-0.985815\pi\) |
0.782029 | − | 0.623242i | \(-0.214185\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 1433.36 | + | 1018.18i | 1.16227 | + | 0.825616i | ||||
\(116\) | 547.878 | + | 1686.20i | 0.438528 | + | 1.34965i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 1772.86 | 1.38309 | ||||||||
\(119\) | −512.969 | + | 372.694i | −0.395158 | + | 0.287099i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −498.437 | − | 362.135i | −0.374483 | − | 0.272078i | ||||
\(122\) | 1753.24 | + | 1273.80i | 1.30107 | + | 0.945284i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −618.365 | −0.447829 | ||||||||
\(125\) | −1103.74 | + | 857.258i | −0.789769 | + | 0.613404i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −540.633 | + | 1663.90i | −0.377744 | + | 1.16258i | 0.563865 | + | 0.825867i | \(0.309314\pi\) |
−0.941609 | + | 0.336709i | \(0.890686\pi\) | |||||||
\(128\) | 328.843 | + | 238.919i | 0.227078 | + | 0.164982i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 558.433 | − | 1783.27i | 0.376753 | − | 1.20310i | ||||
\(131\) | −405.420 | + | 294.555i | −0.270395 | + | 0.196453i | −0.714717 | − | 0.699414i | \(-0.753444\pi\) |
0.444322 | + | 0.895867i | \(0.353444\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −409.002 | + | 297.158i | −0.266654 | + | 0.193736i | ||||
\(134\) | −1150.48 | − | 3540.82i | −0.741691 | − | 2.28269i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 99.6044 | − | 306.551i | 0.0628015 | − | 0.193283i | ||||
\(137\) | −430.440 | − | 1324.76i | −0.268430 | − | 0.826143i | −0.990883 | − | 0.134723i | \(-0.956985\pi\) |
0.722453 | − | 0.691420i | \(-0.243015\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 287.901 | − | 886.067i | 0.175679 | − | 0.540685i | −0.823985 | − | 0.566612i | \(-0.808254\pi\) |
0.999664 | + | 0.0259271i | \(0.00825378\pi\) | |||||||
\(140\) | −404.680 | + | 300.673i | −0.244298 | + | 0.181511i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −1770.16 | + | 1286.10i | −1.04612 | + | 0.760047i | ||||
\(143\) | 1892.89 | 1.10693 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −2215.85 | + | 1646.36i | −1.26908 | + | 0.942915i | ||||
\(146\) | −558.151 | − | 405.521i | −0.316390 | − | 0.229871i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 438.694 | − | 1350.16i | 0.243652 | − | 0.749883i | ||||
\(149\) | 2907.55 | 1.59863 | 0.799313 | − | 0.600914i | \(-0.205197\pi\) | ||||
0.799313 | + | 0.600914i | \(0.205197\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −760.111 | −0.409648 | −0.204824 | − | 0.978799i | \(-0.565662\pi\) | ||||
−0.204824 | + | 0.978799i | \(0.565662\pi\) | |||||||
\(152\) | 79.4170 | − | 244.420i | 0.0423788 | − | 0.130428i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −873.453 | − | 634.601i | −0.457045 | − | 0.332062i | ||||
\(155\) | −307.285 | − | 912.445i | −0.159237 | − | 0.472834i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 2824.97 | 1.43603 | 0.718016 | − | 0.696027i | \(-0.245051\pi\) | ||||
0.718016 | + | 0.696027i | \(0.245051\pi\) | |||||||
\(158\) | 2997.38 | − | 2177.72i | 1.50923 | − | 1.09652i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 824.405 | − | 2632.61i | 0.407344 | − | 1.30079i | ||||
\(161\) | −305.164 | + | 939.198i | −0.149381 | + | 0.459746i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 49.8613 | + | 153.457i | 0.0239598 | + | 0.0737406i | 0.962321 | − | 0.271914i | \(-0.0876568\pi\) |
−0.938362 | + | 0.345655i | \(0.887657\pi\) | |||||||
\(164\) | 124.020 | − | 381.696i | 0.0590510 | − | 0.181740i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 16.8725 | + | 51.9281i | 0.00788890 | + | 0.0242795i | ||||
\(167\) | 2368.72 | − | 1720.98i | 1.09759 | − | 0.797444i | 0.116924 | − | 0.993141i | \(-0.462697\pi\) |
0.980665 | + | 0.195696i | \(0.0626967\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 288.667 | − | 209.729i | 0.131392 | − | 0.0954616i | ||||
\(170\) | −4398.12 | + | 46.9806i | −1.98424 | + | 0.0211956i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −1229.90 | − | 893.575i | −0.545227 | − | 0.396131i | ||||
\(173\) | 753.042 | − | 2317.62i | 0.330940 | − | 1.01853i | −0.637747 | − | 0.770246i | \(-0.720133\pi\) |
0.968687 | − | 0.248284i | \(-0.0798666\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −644.764 | − | 447.722i | −0.278512 | − | 0.193398i | ||||
\(176\) | 3083.67 | 1.32068 | ||||||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −1458.71 | − | 1059.81i | −0.614240 | − | 0.446271i | ||||
\(179\) | −2801.84 | − | 2035.66i | −1.16994 | − | 0.850012i | −0.178939 | − | 0.983860i | \(-0.557266\pi\) |
−0.991002 | + | 0.133849i | \(0.957266\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −3051.24 | + | 2216.86i | −1.25302 | + | 0.910374i | −0.998393 | − | 0.0566644i | \(-0.981953\pi\) |
−0.254629 | + | 0.967039i | \(0.581953\pi\) | |||||||
\(182\) | 1049.59 | 0.427476 | ||||||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −155.130 | − | 477.441i | −0.0621540 | − | 0.191290i | ||||
\(185\) | 2210.27 | − | 23.6100i | 0.878390 | − | 0.00938294i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −1376.79 | − | 4237.32i | −0.538400 | − | 1.65703i | ||||
\(188\) | −235.629 | − | 725.190i | −0.0914094 | − | 0.281329i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −3506.72 | + | 37.4587i | −1.33897 | + | 0.0143029i | ||||
\(191\) | 651.128 | + | 2003.97i | 0.246670 | + | 0.759173i | 0.995357 | + | 0.0962491i | \(0.0306845\pi\) |
−0.748687 | + | 0.662923i | \(0.769315\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −3761.96 | −1.40307 | −0.701533 | − | 0.712637i | \(-0.747501\pi\) | ||||
−0.701533 | + | 0.712637i | \(0.747501\pi\) | |||||||
\(194\) | −4100.64 | + | 2979.29i | −1.51757 | + | 1.10258i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 1763.49 | + | 1281.25i | 0.642673 | + | 0.466929i | ||||
\(197\) | 3061.21 | + | 2224.10i | 1.10712 | + | 0.804368i | 0.982207 | − | 0.187800i | \(-0.0601355\pi\) |
0.124911 | + | 0.992168i | \(0.460136\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 4606.97 | 1.64110 | 0.820552 | − | 0.571572i | \(-0.193666\pi\) | ||||
0.820552 | + | 0.571572i | \(0.193666\pi\) | |||||||
\(200\) | 398.948 | − | 8.52407i | 0.141049 | − | 0.00301372i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 1537.76 | − | 4732.75i | 0.535627 | − | 1.64849i | ||||
\(203\) | −1254.40 | − | 911.377i | −0.433703 | − | 0.315104i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 624.851 | − | 6.67464i | 0.212885 | − | 0.00227403i | ||||
\(206\) | −3489.98 | + | 2535.62i | −1.18038 | + | 0.857596i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −2425.28 | + | 1762.07i | −0.808476 | + | 0.587393i | ||||
\(209\) | −1097.75 | − | 3378.52i | −0.363315 | − | 1.11817i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 1167.51 | − | 3593.21i | 0.380921 | − | 1.17236i | −0.558475 | − | 0.829522i | \(-0.688613\pi\) |
0.939396 | − | 0.342834i | \(-0.111387\pi\) | |||||||
\(212\) | 420.927 | + | 1295.48i | 0.136365 | + | 0.419688i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −222.049 | + | 683.396i | −0.0709296 | + | 0.218299i | ||||
\(215\) | 707.363 | − | 2258.86i | 0.224380 | − | 0.716525i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 437.502 | − | 317.864i | 0.136864 | − | 0.0994378i | ||||
\(218\) | −3166.75 | −0.983850 | ||||||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −1130.63 | − | 3357.27i | −0.346486 | − | 1.02885i | ||||
\(221\) | 3504.13 | + | 2545.90i | 1.06657 | + | 0.774912i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −1039.82 | + | 3200.23i | −0.312248 | + | 0.961001i | 0.664624 | + | 0.747178i | \(0.268592\pi\) |
−0.976872 | + | 0.213823i | \(0.931408\pi\) | |||||||
\(224\) | 1549.49 | 0.462185 | ||||||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 3286.23 | 0.967241 | ||||||||
\(227\) | −1868.95 | + | 5752.02i | −0.546459 | + | 1.68183i | 0.171035 | + | 0.985265i | \(0.445289\pi\) |
−0.717494 | + | 0.696564i | \(0.754711\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 1649.37 | + | 1198.34i | 0.475953 | + | 0.345800i | 0.799757 | − | 0.600324i | \(-0.204962\pi\) |
−0.323804 | + | 0.946124i | \(0.604962\pi\) | |||||||
\(230\) | −5498.68 | + | 4085.46i | −1.57640 | + | 1.17125i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 788.211 | 0.223054 | ||||||||
\(233\) | −10.4656 | + | 7.60373i | −0.00294260 | + | 0.00213793i | −0.589256 | − | 0.807947i | \(-0.700579\pi\) |
0.586313 | + | 0.810085i | \(0.300579\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 952.982 | − | 708.057i | 0.264535 | − | 0.196547i | ||||
\(236\) | −1009.66 | + | 3107.41i | −0.278488 | + | 0.857099i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −763.416 | − | 2349.55i | −0.207920 | − | 0.639911i | ||||
\(239\) | 3.89930 | − | 12.0008i | 0.00105533 | − | 0.00324798i | −0.950527 | − | 0.310641i | \(-0.899456\pi\) |
0.951583 | + | 0.307393i | \(0.0994565\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 2084.79 | + | 6416.33i | 0.557233 | + | 1.71499i | 0.689972 | + | 0.723836i | \(0.257623\pi\) |
−0.132738 | + | 0.991151i | \(0.542377\pi\) | |||||||
\(242\) | 1942.03 | − | 1410.97i | 0.515861 | − | 0.374795i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −3231.17 | + | 2347.59i | −0.847765 | + | 0.615937i | ||||
\(245\) | −1014.25 | + | 3238.86i | −0.264483 | + | 0.844585i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 2793.92 | + | 2029.90i | 0.719729 | + | 0.522914i | ||||
\(248\) | −84.9509 | + | 261.452i | −0.0217516 | + | 0.0669444i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −1847.70 | − | 5122.08i | −0.467436 | − | 1.29580i | ||||
\(251\) | −923.332 | −0.232192 | −0.116096 | − | 0.993238i | \(-0.537038\pi\) | ||||
−0.116096 | + | 0.993238i | \(0.537038\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −5613.84 | − | 4078.70i | −1.39502 | − | 1.01354i | ||||
\(254\) | −5514.72 | − | 4006.68i | −1.36230 | − | 0.989769i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −3885.03 | + | 2822.64i | −0.948493 | + | 0.689120i | ||||
\(257\) | −4139.37 | −1.00470 | −0.502348 | − | 0.864666i | \(-0.667530\pi\) | ||||
−0.502348 | + | 0.864666i | \(0.667530\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 383.654 | + | 1180.76i | 0.0920428 | + | 0.283279i | ||||
\(260\) | 2807.64 | + | 1994.40i | 0.669701 | + | 0.475721i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −603.358 | − | 1856.95i | −0.142273 | − | 0.437872i | ||||
\(263\) | 580.001 | + | 1785.06i | 0.135986 | + | 0.418522i | 0.995742 | − | 0.0921827i | \(-0.0293844\pi\) |
−0.859756 | + | 0.510705i | \(0.829384\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −1702.41 | + | 1264.87i | −0.394634 | + | 0.293209i | ||||
\(266\) | −608.690 | − | 1873.35i | −0.140305 | − | 0.431815i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 6861.47 | 1.56392 | ||||||||
\(269\) | 1596.43 | − | 1159.87i | 0.361843 | − | 0.262895i | −0.391977 | − | 0.919975i | \(-0.628209\pi\) |
0.753821 | + | 0.657080i | \(0.228209\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −4209.83 | − | 3058.62i | −0.943650 | − | 0.685602i | 0.00564662 | − | 0.999984i | \(-0.498203\pi\) |
−0.949296 | + | 0.314382i | \(0.898203\pi\) | |||||||
\(272\) | 5708.50 | + | 4147.47i | 1.27253 | + | 0.924549i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 5427.19 | 1.19660 | ||||||||
\(275\) | 4392.06 | − | 3336.66i | 0.963095 | − | 0.731665i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 465.229 | − | 1431.83i | 0.100913 | − | 0.310578i | −0.887837 | − | 0.460159i | \(-0.847792\pi\) |
0.988749 | + | 0.149581i | \(0.0477924\pi\) | |||||||
\(278\) | 2936.73 | + | 2133.66i | 0.633572 | + | 0.460317i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 71.5333 | + | 212.410i | 0.0152676 | + | 0.0453354i | ||||
\(281\) | 4394.85 | − | 3193.05i | 0.933007 | − | 0.677869i | −0.0137206 | − | 0.999906i | \(-0.504368\pi\) |
0.946727 | + | 0.322037i | \(0.104368\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −1837.68 | + | 1335.15i | −0.386003 | + | 0.280448i | −0.763816 | − | 0.645435i | \(-0.776676\pi\) |
0.377813 | + | 0.925882i | \(0.376676\pi\) | |||||||
\(284\) | −1246.11 | − | 3835.13i | −0.260363 | − | 0.801314i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −2279.05 | + | 7014.18i | −0.471199 | + | 1.45020i | ||||
\(287\) | 108.460 | + | 333.806i | 0.0223073 | + | 0.0686549i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 1632.19 | − | 5023.36i | 0.332218 | − | 1.02246i | ||||
\(290\) | −3432.76 | − | 10193.2i | −0.695098 | − | 2.06401i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 1028.66 | − | 747.364i | 0.206157 | − | 0.149781i | ||||
\(293\) | −5377.08 | −1.07212 | −0.536062 | − | 0.844178i | \(-0.680089\pi\) | ||||
−0.536062 | + | 0.844178i | \(0.680089\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −5086.96 | + | 54.3387i | −1.00398 | + | 0.0107245i | ||||
\(296\) | −510.596 | − | 370.970i | −0.100263 | − | 0.0728452i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −3500.69 | + | 10774.0i | −0.680503 | + | 2.09437i | ||||
\(299\) | 6745.89 | 1.30477 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 1329.50 | 0.254589 | ||||||||
\(302\) | 915.176 | − | 2816.62i | 0.174379 | − | 0.536683i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 4551.53 | + | 3306.88i | 0.858711 | + | 0.623890i | ||||
\(305\) | −5069.71 | − | 3601.26i | −0.951773 | − | 0.676090i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 8104.37 | 1.50665 | 0.753324 | − | 0.657649i | \(-0.228449\pi\) | ||||
0.753324 | + | 0.657649i | \(0.228449\pi\) | |||||||
\(308\) | 1609.75 | − | 1169.55i | 0.297806 | − | 0.216369i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 3751.08 | − | 40.0689i | 0.687248 | − | 0.00734116i | ||||
\(311\) | −233.023 | + | 717.171i | −0.0424872 | + | 0.130762i | −0.970050 | − | 0.242905i | \(-0.921900\pi\) |
0.927563 | + | 0.373667i | \(0.121900\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 1329.80 | + | 4092.70i | 0.240143 | + | 0.739084i | 0.996397 | + | 0.0848065i | \(0.0270272\pi\) |
−0.756254 | + | 0.654278i | \(0.772973\pi\) | |||||||
\(314\) | −3401.27 | + | 10468.0i | −0.611289 | + | 1.88136i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 2110.02 | + | 6493.97i | 0.375626 | + | 1.15606i | ||||
\(317\) | 2940.89 | − | 2136.68i | 0.521062 | − | 0.378574i | −0.295942 | − | 0.955206i | \(-0.595633\pi\) |
0.817004 | + | 0.576632i | \(0.195633\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 8814.32 | − | 6403.98i | 1.54704 | − | 1.12399i | ||||
\(320\) | 3666.92 | + | 2604.78i | 0.640584 | + | 0.455037i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −3112.82 | − | 2261.59i | −0.538729 | − | 0.391409i | ||||
\(323\) | 2511.88 | − | 7730.78i | 0.432708 | − | 1.33174i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −1547.69 | + | 5133.96i | −0.264155 | + | 0.876250i | ||||
\(326\) | −628.676 | −0.106807 | ||||||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −144.347 | − | 104.875i | −0.0242995 | − | 0.0176547i | ||||
\(329\) | 539.486 | + | 391.960i | 0.0904038 | + | 0.0656822i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 2978.03 | − | 2163.66i | 0.494524 | − | 0.359292i | −0.312398 | − | 0.949951i | \(-0.601132\pi\) |
0.806921 | + | 0.590659i | \(0.201132\pi\) | |||||||
\(332\) | −100.627 | −0.0166344 | ||||||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 3525.20 | + | 10849.5i | 0.577517 | + | 1.77741i | ||||
\(335\) | 3409.68 | + | 10124.6i | 0.556091 | + | 1.65125i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −85.2315 | − | 262.316i | −0.0137770 | − | 0.0424013i | 0.943932 | − | 0.330141i | \(-0.107096\pi\) |
−0.957709 | + | 0.287740i | \(0.907096\pi\) | |||||||
\(338\) | 429.604 | + | 1322.18i | 0.0691342 | + | 0.212773i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 2422.43 | − | 7735.65i | 0.386396 | − | 1.23390i | ||||
\(341\) | 1174.24 | + | 3613.94i | 0.186477 | + | 0.573917i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −4060.26 | −0.639165 | ||||||||
\(344\) | −546.777 | + | 397.257i | −0.0856984 | + | 0.0622635i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 7681.39 | + | 5580.85i | 1.19351 | + | 0.867135i | ||||
\(347\) | −9022.35 | − | 6555.12i | −1.39581 | − | 1.01411i | −0.995200 | − | 0.0978631i | \(-0.968799\pi\) |
−0.400607 | − | 0.916250i | \(-0.631201\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −8219.29 | −1.26065 | −0.630327 | − | 0.776330i | \(-0.717079\pi\) | ||||
−0.630327 | + | 0.776330i | \(0.717079\pi\) | |||||||
\(350\) | 2435.35 | − | 1850.14i | 0.371929 | − | 0.282555i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −3364.52 | + | 10354.9i | −0.509458 | + | 1.56795i | ||||
\(353\) | −1577.47 | − | 1146.10i | −0.237848 | − | 0.172806i | 0.462476 | − | 0.886632i | \(-0.346961\pi\) |
−0.700324 | + | 0.713825i | \(0.746961\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 5039.80 | − | 3744.52i | 0.753478 | − | 0.559827i | ||||
\(356\) | 2688.36 | − | 1953.21i | 0.400232 | − | 0.290786i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 10916.6 | − | 7931.40i | 1.61163 | − | 1.17091i | ||||
\(359\) | −3470.55 | − | 10681.2i | −0.510219 | − | 1.57029i | −0.791816 | − | 0.610759i | \(-0.790864\pi\) |
0.281598 | − | 0.959533i | \(-0.409136\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −116.764 | + | 359.361i | −0.0170234 | + | 0.0523927i | ||||
\(362\) | −4540.95 | − | 13975.6i | −0.659302 | − | 2.02912i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −597.751 | + | 1839.69i | −0.0860733 | + | 0.264906i | ||||
\(365\) | 1613.97 | + | 1146.48i | 0.231449 | + | 0.164409i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 5303.29 | − | 3853.06i | 0.754304 | − | 0.548034i | −0.142854 | − | 0.989744i | \(-0.545628\pi\) |
0.897158 | + | 0.441710i | \(0.145628\pi\) | |||||||
\(368\) | 10989.6 | 1.55672 | ||||||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −2573.68 | + | 8218.67i | −0.361620 | + | 1.15478i | ||||
\(371\) | −963.738 | − | 700.197i | −0.134865 | − | 0.0979849i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −1346.23 | + | 4143.27i | −0.186877 | + | 0.575148i | −0.999976 | − | 0.00697762i | \(-0.997779\pi\) |
0.813099 | + | 0.582126i | \(0.197779\pi\) | |||||||
\(374\) | 17359.2 | 2.40007 | ||||||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −338.989 | −0.0464948 | ||||||||
\(377\) | −3273.03 | + | 10073.4i | −0.447135 | + | 1.37614i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −4284.53 | − | 3112.90i | −0.580691 | − | 0.421896i | 0.258282 | − | 0.966069i | \(-0.416844\pi\) |
−0.838973 | + | 0.544173i | \(0.816844\pi\) | |||||||
\(380\) | 1931.46 | − | 6167.82i | 0.260742 | − | 0.832639i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −8209.74 | −1.09960 | ||||||||
\(383\) | −6312.15 | + | 4586.04i | −0.842129 | + | 0.611843i | −0.922965 | − | 0.384885i | \(-0.874241\pi\) |
0.0808353 | + | 0.996727i | \(0.474241\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 2525.70 | + | 1794.13i | 0.334342 | + | 0.237499i | ||||
\(386\) | 4529.41 | − | 13940.1i | 0.597257 | − | 1.83817i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −2886.66 | − | 8884.24i | −0.377701 | − | 1.16245i | ||||
\(389\) | −4009.27 | + | 12339.3i | −0.522566 | + | 1.60829i | 0.246514 | + | 0.969139i | \(0.420715\pi\) |
−0.769079 | + | 0.639153i | \(0.779285\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −4906.61 | − | 15101.0i | −0.634624 | − | 1.95317i | ||||
\(392\) | 783.997 | − | 569.607i | 0.101015 | − | 0.0733916i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −11927.2 | + | 8665.62i | −1.52509 | + | 1.10804i | ||||
\(395\) | −8533.81 | + | 6340.54i | −1.08704 | + | 0.807664i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 8223.68 | + | 5974.85i | 1.03963 | + | 0.755338i | 0.970214 | − | 0.242249i | \(-0.0778852\pi\) |
0.0694198 | + | 0.997588i | \(0.477885\pi\) | |||||||
\(398\) | −5546.81 | + | 17071.3i | −0.698585 | + | 2.15002i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −2521.31 | + | 8363.64i | −0.315164 | + | 1.04546i | ||||
\(401\) | −8213.85 | −1.02289 | −0.511447 | − | 0.859315i | \(-0.670890\pi\) | ||||
−0.511447 | + | 0.859315i | \(0.670890\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −2988.61 | − | 2171.35i | −0.369412 | − | 0.268394i | ||||
\(404\) | 7419.66 | + | 5390.70i | 0.913718 | + | 0.663855i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 4887.45 | − | 3550.94i | 0.597439 | − | 0.434065i | ||||
\(407\) | −8723.87 | −1.06247 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −1231.90 | − | 3791.40i | −0.148933 | − | 0.458369i | 0.848563 | − | 0.529095i | \(-0.177468\pi\) |
−0.997496 | + | 0.0707261i | \(0.977468\pi\) | |||||||
\(410\) | −727.589 | + | 2323.45i | −0.0876416 | + | 0.279870i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −2456.78 | − | 7561.20i | −0.293779 | − | 0.904159i | ||||
\(413\) | −882.983 | − | 2717.54i | −0.105203 | − | 0.323781i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −50.0047 | − | 148.483i | −0.00591479 | − | 0.0175633i | ||||
\(416\) | −3270.84 | − | 10066.6i | −0.385496 | − | 1.18643i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 13840.9 | 1.61958 | ||||||||
\(419\) | −7445.57 | + | 5409.52i | −0.868115 | + | 0.630722i | −0.930080 | − | 0.367356i | \(-0.880263\pi\) |
0.0619658 | + | 0.998078i | \(0.480263\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −11708.9 | − | 8506.99i | −1.35548 | − | 0.984810i | −0.998718 | − | 0.0506132i | \(-0.983882\pi\) |
−0.356757 | − | 0.934197i | \(-0.616118\pi\) | |||||||
\(422\) | 11909.1 | + | 8652.48i | 1.37376 | + | 0.998095i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 605.570 | 0.0693611 | ||||||||
\(425\) | 12618.3 | − | 269.608i | 1.44019 | − | 0.0307716i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 1079.35 | − | 3321.90i | 0.122327 | − | 0.376482i | ||||
\(428\) | −1071.38 | − | 778.402i | −0.120998 | − | 0.0879100i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 7518.62 | + | 5340.84i | 0.843210 | + | 0.598972i | ||||
\(431\) | −13496.0 | + | 9805.38i | −1.50830 | + | 1.09584i | −0.541375 | + | 0.840781i | \(0.682096\pi\) |
−0.966925 | + | 0.255063i | \(0.917904\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −6033.95 | + | 4383.92i | −0.669684 | + | 0.486554i | −0.869919 | − | 0.493194i | \(-0.835829\pi\) |
0.200235 | + | 0.979748i | \(0.435829\pi\) | |||||||
\(434\) | 651.104 | + | 2003.89i | 0.0720138 | + | 0.221636i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 1803.50 | − | 5550.59i | 0.198100 | − | 0.609691i | ||||
\(437\) | −3912.16 | − | 12040.4i | −0.428247 | − | 1.31801i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 3121.46 | − | 9606.85i | 0.339360 | − | 1.04444i | −0.625174 | − | 0.780485i | \(-0.714972\pi\) |
0.964534 | − | 0.263957i | \(-0.0850278\pi\) | |||||||
\(440\) | −1574.82 | + | 16.8221i | −0.170628 | + | 0.00182265i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −13652.9 | + | 9919.42i | −1.46924 | + | 1.06746i | ||||
\(443\) | 3125.48 | 0.335205 | 0.167603 | − | 0.985855i | \(-0.446397\pi\) | ||||
0.167603 | + | 0.985855i | \(0.446397\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 4218.04 | + | 2996.27i | 0.449335 | + | 0.319184i | ||||
\(446\) | −10606.6 | − | 7706.18i | −1.12610 | − | 0.818157i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −780.693 | + | 2402.73i | −0.0823310 | + | 0.253389i | ||||
\(449\) | 14568.3 | 1.53123 | 0.765614 | − | 0.643300i | \(-0.222435\pi\) | ||||
0.765614 | + | 0.643300i | \(0.222435\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −2466.27 | −0.257499 | ||||||||
\(452\) | −1871.54 | + | 5760.01i | −0.194756 | + | 0.599398i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −19064.1 | − | 13850.9i | −1.97076 | − | 1.43184i | ||||
\(455\) | −3011.64 | + | 32.1703i | −0.310303 | + | 0.00331465i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −14908.3 | −1.52600 | −0.763000 | − | 0.646399i | \(-0.776274\pi\) | ||||
−0.763000 | + | 0.646399i | \(0.776274\pi\) | |||||||
\(458\) | −6426.33 | + | 4669.00i | −0.655639 | + | 0.476349i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −4029.34 | − | 11964.6i | −0.408411 | − | 1.21273i | ||||
\(461\) | −1140.13 | + | 3508.95i | −0.115187 | + | 0.354508i | −0.991986 | − | 0.126349i | \(-0.959674\pi\) |
0.876799 | + | 0.480856i | \(0.159674\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −4273.76 | − | 13153.3i | −0.428981 | − | 1.32027i | −0.899130 | − | 0.437681i | \(-0.855800\pi\) |
0.470149 | − | 0.882587i | \(-0.344200\pi\) | |||||||
\(464\) | −5332.04 | + | 16410.3i | −0.533477 | + | 1.64187i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −15.5753 | − | 47.9358i | −0.00154831 | − | 0.00476520i | ||||
\(467\) | −221.710 | + | 161.082i | −0.0219690 | + | 0.0159614i | −0.598716 | − | 0.800962i | \(-0.704322\pi\) |
0.576747 | + | 0.816923i | \(0.304322\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −4854.59 | + | 3527.06i | −0.477962 | + | 0.347260i | ||||
\(470\) | 1476.34 | + | 4383.82i | 0.144891 | + | 0.430235i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 1175.14 | + | 853.791i | 0.114598 | + | 0.0832605i | ||||
\(473\) | −2886.85 | + | 8884.81i | −0.280629 | + | 0.863687i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 10060.9 | − | 214.965i | 0.971844 | − | 0.0207648i | ||||
\(476\) | 4553.00 | 0.438417 | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 39.7747 | + | 28.8980i | 0.00380597 | + | 0.00276520i | ||||
\(479\) | 11987.5 | + | 8709.43i | 1.14347 | + | 0.830781i | 0.987599 | − | 0.156997i | \(-0.0501812\pi\) |
0.155872 | + | 0.987777i | \(0.450181\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 6861.25 | − | 4984.99i | 0.650408 | − | 0.472549i | ||||
\(482\) | −26286.1 | −2.48402 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 1367.10 | + | 4207.49i | 0.128390 | + | 0.395144i | ||||
\(485\) | 11674.9 | − | 8674.34i | 1.09305 | − | 0.812127i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 5341.55 | + | 16439.6i | 0.497020 | + | 1.52967i | 0.813785 | + | 0.581166i | \(0.197403\pi\) |
−0.316765 | + | 0.948504i | \(0.602597\pi\) | |||||||
\(488\) | 548.688 | + | 1688.69i | 0.0508974 | + | 0.156646i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −10780.6 | − | 7657.96i | −0.993912 | − | 0.706023i | ||||
\(491\) | −3045.75 | − | 9373.84i | −0.279944 | − | 0.861580i | −0.987869 | − | 0.155292i | \(-0.950368\pi\) |
0.707924 | − | 0.706288i | \(-0.249632\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 24930.3 | 2.27750 | ||||||||
\(494\) | −10885.8 | + | 7908.99i | −0.991447 | + | 0.720329i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −4868.68 | − | 3537.30i | −0.440747 | − | 0.320221i | ||||
\(497\) | 2853.05 | + | 2072.86i | 0.257498 | + | 0.187083i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 10126.4 | 0.908458 | 0.454229 | − | 0.890885i | \(-0.349915\pi\) | ||||
0.454229 | + | 0.890885i | \(0.349915\pi\) | |||||||
\(500\) | 10030.1 | − | 321.523i | 0.897123 | − | 0.0287579i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 1111.69 | − | 3421.44i | 0.0988394 | − | 0.304196i | ||||
\(503\) | −4874.27 | − | 3541.36i | −0.432073 | − | 0.313920i | 0.350404 | − | 0.936599i | \(-0.386044\pi\) |
−0.782477 | + | 0.622679i | \(0.786044\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −4267.33 | + | 13627.1i | −0.376027 | + | 1.20079i | ||||
\(506\) | 21872.9 | − | 15891.6i | 1.92168 | − | 1.39618i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 10163.5 | − | 7384.21i | 0.887662 | − | 0.644924i | ||||
\(509\) | −5588.13 | − | 17198.5i | −0.486620 | − | 1.49766i | −0.829621 | − | 0.558327i | \(-0.811443\pi\) |
0.343001 | − | 0.939335i | \(-0.388557\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −343.616 | + | 1057.54i | −0.0297469 | + | 0.0915516i | ||||
\(512\) | −4776.96 | − | 14702.0i | −0.412331 | − | 1.26903i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 4983.81 | − | 15338.6i | 0.427678 | − | 1.31626i | ||||
\(515\) | 9936.28 | − | 7382.56i | 0.850184 | − | 0.631679i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −3790.81 | + | 2754.19i | −0.322476 | + | 0.234292i | ||||
\(518\) | −4837.29 | −0.410306 | ||||||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 1228.97 | − | 913.112i | 0.103642 | − | 0.0770050i | ||||
\(521\) | 7060.19 | + | 5129.53i | 0.593690 | + | 0.431341i | 0.843634 | − | 0.536919i | \(-0.180412\pi\) |
−0.249943 | + | 0.968260i | \(0.580412\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 2270.43 | − | 6987.67i | 0.189826 | − | 0.584225i | −0.810172 | − | 0.586192i | \(-0.800626\pi\) |
0.999998 | + | 0.00196745i | \(0.000626259\pi\) | |||||||
\(524\) | 3598.42 | 0.299996 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −7312.93 | −0.606196 | ||||||||
\(527\) | −2686.91 | + | 8269.46i | −0.222094 | + | 0.683536i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −10163.3 | − | 7384.10i | −0.835321 | − | 0.606896i | ||||
\(530\) | −2637.33 | − | 7831.25i | −0.216148 | − | 0.641826i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 3630.22 | 0.295846 | ||||||||
\(533\) | 1939.70 | − | 1409.27i | 0.157632 | − | 0.114526i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 616.191 | − | 1967.71i | 0.0497949 | − | 0.159012i | ||||
\(536\) | 942.627 | − | 2901.11i | 0.0759614 | − | 0.233785i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 2375.85 | + | 7312.12i | 0.190391 | + | 0.585962i | ||||
\(539\) | 4139.31 | − | 12739.5i | 0.330784 | − | 1.01805i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −6077.53 | − | 18704.7i | −0.482982 | − | 1.48647i | −0.834882 | − | 0.550429i | \(-0.814464\pi\) |
0.351900 | − | 0.936038i | \(-0.385536\pi\) | |||||||
\(542\) | 16402.5 | − | 11917.1i | 1.29990 | − | 0.944436i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −20155.5 | + | 14643.9i | −1.58853 | + | 1.15414i | ||||
\(545\) | 9086.53 | − | 97.0621i | 0.714173 | − | 0.00762878i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −19688.4 | − | 14304.5i | −1.53897 | − | 1.11812i | −0.950979 | − | 0.309254i | \(-0.899921\pi\) |
−0.587987 | − | 0.808870i | \(-0.700079\pi\) | |||||||
\(548\) | −3090.84 | + | 9512.64i | −0.240939 | + | 0.741533i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 7076.07 | + | 20292.3i | 0.548590 | + | 1.57321i | ||||
\(551\) | 19877.6 | 1.53686 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −4831.02 | − | 3509.94i | −0.371493 | − | 0.269906i | ||||
\(554\) | 4745.56 | + | 3447.85i | 0.363934 | + | 0.264413i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −5412.31 | + | 3932.27i | −0.412829 | + | 0.299938i | ||||
\(557\) | −15077.6 | −1.14696 | −0.573481 | − | 0.819219i | \(-0.694408\pi\) | ||||
−0.573481 | + | 0.819219i | \(0.694408\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −2806.47 | − | 8637.44i | −0.212346 | − | 0.653532i | ||||
\(560\) | −4906.21 | + | 52.4080i | −0.370224 | + | 0.00395472i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 6540.55 | + | 20129.7i | 0.490919 | + | 1.51089i | ||||
\(563\) | −4431.52 | − | 13638.8i | −0.331734 | − | 1.02097i | −0.968309 | − | 0.249757i | \(-0.919649\pi\) |
0.636575 | − | 0.771215i | \(-0.280351\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −9429.36 | + | 100.724i | −0.702117 | + | 0.00749999i | ||||
\(566\) | −2734.89 | − | 8417.14i | −0.203103 | − | 0.625086i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −1792.73 | −0.132432 | ||||||||
\(569\) | 3259.66 | − | 2368.28i | 0.240162 | − | 0.174488i | −0.461194 | − | 0.887300i | \(-0.652579\pi\) |
0.701355 | + | 0.712812i | \(0.252579\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 9126.02 | + | 6630.45i | 0.668848 | + | 0.485947i | 0.869639 | − | 0.493687i | \(-0.164351\pi\) |
−0.200791 | + | 0.979634i | \(0.564351\pi\) | |||||||
\(572\) | −10996.3 | − | 7989.30i | −0.803811 | − | 0.584003i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −1367.52 | −0.0994411 | ||||||||
\(575\) | 15652.4 | − | 11891.2i | 1.13522 | − | 0.862430i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −3864.21 | + | 11892.8i | −0.278802 | + | 0.858066i | 0.709386 | + | 0.704820i | \(0.248972\pi\) |
−0.988188 | + | 0.153245i | \(0.951028\pi\) | |||||||
\(578\) | 16649.1 | + | 12096.3i | 1.19812 | + | 0.870483i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 19821.3 | − | 211.731i | 1.41903 | − | 0.0151580i | ||||
\(581\) | 71.1952 | − | 51.7263i | 0.00508377 | − | 0.00369358i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 6771.91 | − | 4920.08i | 0.481070 | − | 0.349518i | ||||
\(584\) | −174.677 | − | 537.602i | −0.0123771 | − | 0.0380927i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 6474.03 | − | 19925.0i | 0.456382 | − | 1.40460i | ||||
\(587\) | 5390.49 | + | 16590.2i | 0.379028 | + | 1.16653i | 0.940721 | + | 0.339182i | \(0.110150\pi\) |
−0.561693 | + | 0.827346i | \(0.689850\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −2142.34 | + | 6593.44i | −0.149870 | + | 0.461253i | ||||
\(590\) | 5923.36 | − | 18915.4i | 0.413323 | − | 1.31989i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 11177.5 | − | 8120.95i | 0.776003 | − | 0.563799i | ||||
\(593\) | −17798.5 | −1.23254 | −0.616269 | − | 0.787536i | \(-0.711357\pi\) | ||||
−0.616269 | + | 0.787536i | \(0.711357\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 2262.53 | + | 6718.31i | 0.155890 | + | 0.462897i | ||||
\(596\) | −16890.8 | − | 12271.8i | −1.16086 | − | 0.843414i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −8122.08 | + | 24997.2i | −0.555412 | + | 1.70938i | ||||
\(599\) | 23241.2 | 1.58532 | 0.792661 | − | 0.609662i | \(-0.208695\pi\) | ||||
0.792661 | + | 0.609662i | \(0.208695\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −2735.11 | −0.185637 | −0.0928183 | − | 0.995683i | \(-0.529588\pi\) | ||||
−0.0928183 | + | 0.995683i | \(0.529588\pi\) | |||||||
\(602\) | −1600.73 | + | 4926.53i | −0.108373 | + | 0.333539i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 4415.70 | + | 3208.19i | 0.297470 | + | 0.216125i | ||||
\(605\) | −5529.13 | + | 4108.09i | −0.371555 | + | 0.276062i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 1676.42 | 0.112098 | 0.0560492 | − | 0.998428i | \(-0.482150\pi\) | ||||
0.0560492 | + | 0.998428i | \(0.482150\pi\) | |||||||
\(608\) | −16070.5 | + | 11675.9i | −1.07195 | + | 0.778817i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 19448.6 | − | 14450.1i | 1.29090 | − | 0.959127i | ||||
\(611\) | 1407.65 | − | 4332.29i | 0.0932035 | − | 0.286851i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −611.200 | − | 1881.08i | −0.0402710 | − | 0.123941i | 0.928900 | − | 0.370331i | \(-0.120756\pi\) |
−0.969171 | + | 0.246390i | \(0.920756\pi\) | |||||||
\(614\) | −9757.70 | + | 30031.1i | −0.641349 | + | 1.97387i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −273.353 | − | 841.295i | −0.0178794 | − | 0.0550272i | ||||
\(617\) | −6781.95 | + | 4927.38i | −0.442514 | + | 0.321505i | −0.786633 | − | 0.617421i | \(-0.788178\pi\) |
0.344119 | + | 0.938926i | \(0.388178\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −15968.8 | + | 11602.0i | −1.03690 | + | 0.753350i | −0.969678 | − | 0.244388i | \(-0.921413\pi\) |
−0.0672201 | + | 0.997738i | \(0.521413\pi\) | |||||||
\(620\) | −2066.05 | + | 6597.60i | −0.133830 | + | 0.427365i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −2376.95 | − | 1726.95i | −0.153227 | − | 0.111326i | ||||
\(623\) | −898.027 | + | 2763.84i | −0.0577507 | + | 0.177738i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 5458.71 | + | 14640.5i | 0.349358 | + | 0.936989i | ||||
\(626\) | −16766.8 | −1.07050 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −16411.0 | − | 11923.3i | −1.04279 | − | 0.757631i | ||||
\(629\) | −16149.7 | − | 11733.4i | −1.02373 | − | 0.743787i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 4438.84 | − | 3225.00i | 0.280043 | − | 0.203463i | −0.438893 | − | 0.898539i | \(-0.644629\pi\) |
0.718936 | + | 0.695076i | \(0.244629\pi\) | |||||||
\(632\) | 3035.60 | 0.191059 | ||||||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 4376.72 | + | 13470.2i | 0.274167 | + | 0.843798i | ||||
\(635\) | 15946.5 | + | 11327.6i | 0.996564 | + | 0.707907i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 4024.06 | + | 12384.8i | 0.250297 | + | 0.770335i | ||||
\(638\) | 13117.7 | + | 40372.3i | 0.814007 | + | 2.50526i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 3647.84 | − | 2710.31i | 0.225302 | − | 0.167398i | ||||
\(641\) | 2181.43 | + | 6713.77i | 0.134417 | + | 0.413694i | 0.995499 | − | 0.0947728i | \(-0.0302125\pi\) |
−0.861082 | + | 0.508467i | \(0.830212\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 21740.4 | 1.33337 | 0.666687 | − | 0.745338i | \(-0.267712\pi\) | ||||
0.666687 | + | 0.745338i | \(0.267712\pi\) | |||||||
\(644\) | 5736.85 | − | 4168.06i | 0.351030 | − | 0.255038i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 25622.4 | + | 18615.8i | 1.56053 | + | 1.13379i | ||||
\(647\) | 3360.78 | + | 2441.75i | 0.204213 | + | 0.148370i | 0.685192 | − | 0.728363i | \(-0.259718\pi\) |
−0.480978 | + | 0.876732i | \(0.659718\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 20078.1 | 1.21438 | ||||||||
\(650\) | −17160.7 | − | 11916.3i | −1.03554 | − | 0.719072i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 358.038 | − | 1101.93i | 0.0215059 | − | 0.0661883i | ||||
\(653\) | −14674.8 | − | 10661.8i | −0.879430 | − | 0.638943i | 0.0536708 | − | 0.998559i | \(-0.482908\pi\) |
−0.933101 | + | 0.359616i | \(0.882908\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 1788.17 | + | 5309.75i | 0.106671 | + | 0.316747i | ||||
\(656\) | 3159.93 | − | 2295.82i | 0.188071 | − | 0.136641i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −2101.97 | + | 1527.17i | −0.124534 | + | 0.0904791i | ||||
\(659\) | −1609.32 | − | 4952.97i | −0.0951292 | − | 0.292778i | 0.892158 | − | 0.451723i | \(-0.149191\pi\) |
−0.987287 | + | 0.158946i | \(0.949191\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −5473.66 | + | 16846.2i | −0.322089 | + | 0.991287i | 0.650649 | + | 0.759379i | \(0.274497\pi\) |
−0.972738 | + | 0.231908i | \(0.925503\pi\) | |||||||
\(662\) | 4431.99 | + | 13640.3i | 0.260203 | + | 0.800822i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −13.8241 | + | 42.5463i | −0.000807953 | + | 0.00248662i | ||||
\(665\) | 1803.97 | + | 5356.67i | 0.105195 | + | 0.312365i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 31412.5 | − | 22822.5i | 1.82354 | − | 1.32488i | ||||
\(668\) | −21024.3 | −1.21775 | ||||||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −41622.5 | + | 444.610i | −2.40003 | + | 0.0256370i | ||||
\(671\) | 19855.9 | + | 14426.2i | 1.14237 | + | 0.829979i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −9178.90 | + | 28249.8i | −0.525737 | + | 1.61805i | 0.237118 | + | 0.971481i | \(0.423797\pi\) |
−0.762855 | + | 0.646570i | \(0.776203\pi\) | |||||||
\(674\) | 1074.64 | 0.0614149 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −2562.15 | −0.145776 | ||||||||
\(677\) | 2158.52 | − | 6643.23i | 0.122538 | − | 0.377134i | −0.870906 | − | 0.491449i | \(-0.836467\pi\) |
0.993445 | + | 0.114315i | \(0.0364673\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 6609.20 | + | 4801.87i | 0.373546 | + | 0.271397i | ||||
\(680\) | −2937.93 | − | 2086.95i | −0.165683 | − | 0.117693i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −14805.4 | −0.831272 | ||||||||
\(683\) | −3632.47 | + | 2639.14i | −0.203503 | + | 0.147854i | −0.684869 | − | 0.728666i | \(-0.740141\pi\) |
0.481366 | + | 0.876520i | \(0.340141\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −15572.6 | + | 166.346i | −0.868609 | + | 0.00927846i | ||||
\(686\) | 4888.57 | − | 15045.5i | 0.272080 | − | 0.837375i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −4571.97 | − | 14071.1i | −0.253350 | − | 0.779731i | ||||
\(689\) | −2514.62 | + | 7739.21i | −0.139041 | + | 0.427925i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 10095.7 | + | 31071.4i | 0.555802 | + | 1.71058i | 0.693817 | + | 0.720151i | \(0.255928\pi\) |
−0.138016 | + | 0.990430i | \(0.544072\pi\) | |||||||
\(692\) | −14156.6 | + | 10285.4i | −0.777678 | + | 0.565016i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 35153.2 | − | 25540.3i | 1.92276 | − | 1.39697i | ||||
\(695\) | −8491.92 | − | 6032.21i | −0.463477 | − | 0.329230i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −4565.56 | − | 3317.08i | −0.248111 | − | 0.180263i | ||||
\(698\) | 9896.05 | − | 30456.9i | 0.536635 | − | 1.65159i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 1855.92 | + | 5322.29i | 0.100210 | + | 0.287377i | ||||
\(701\) | −1911.12 | −0.102970 | −0.0514852 | − | 0.998674i | \(-0.516395\pi\) | ||||
−0.0514852 | + | 0.998674i | \(0.516395\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −12876.5 | − | 9355.33i | −0.690820 | − | 0.501910i | ||||
\(704\) | −14361.8 | − | 10434.4i | −0.768862 | − | 0.558611i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 6146.19 | − | 4465.47i | 0.327642 | − | 0.238046i | ||||
\(707\) | −8020.54 | −0.426653 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 10449.5 | + | 32160.3i | 0.553512 | + | 1.70353i | 0.699841 | + | 0.714298i | \(0.253254\pi\) |
−0.146329 | + | 0.989236i | \(0.546746\pi\) | |||||||
\(710\) | 7807.56 | + | 23183.6i | 0.412694 | + | 1.22544i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −456.512 | − | 1405.00i | −0.0240288 | − | 0.0739531i | ||||
\(713\) | 4184.76 | + | 12879.4i | 0.219805 | + | 0.676489i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 6324.41 | − | 20196.1i | 0.330797 | − | 1.05635i | ||||
\(716\) | 7684.81 | + | 23651.4i | 0.401110 | + | 1.23449i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 43758.4 | 2.27444 | ||||||||
\(719\) | 7234.32 | − | 5256.04i | 0.375236 | − | 0.272625i | −0.384143 | − | 0.923274i | \(-0.625503\pi\) |
0.759379 | + | 0.650649i | \(0.225503\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 5624.96 | + | 4086.77i | 0.290547 | + | 0.211095i | ||||
\(722\) | −1191.04 | − | 865.345i | −0.0613935 | − | 0.0446050i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 27082.2 | 1.39020 | ||||||||
\(725\) | 10162.2 | + | 29142.6i | 0.520574 | + | 1.49287i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 2679.13 | − | 8245.53i | 0.136676 | − | 0.420646i | −0.859171 | − | 0.511689i | \(-0.829020\pi\) |
0.995847 | + | 0.0910429i | \(0.0290201\pi\) | |||||||
\(728\) | 695.723 | + | 505.472i | 0.0354192 | + | 0.0257336i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −6191.54 | + | 4600.26i | −0.313917 | + | 0.233237i | ||||
\(731\) | −17294.0 | + | 12564.8i | −0.875024 | + | 0.635742i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −19365.9 | + | 14070.2i | −0.975848 | + | 0.708995i | −0.956777 | − | 0.290823i | \(-0.906071\pi\) |
−0.0190713 | + | 0.999818i | \(0.506071\pi\) | |||||||
\(734\) | 7892.52 | + | 24290.7i | 0.396891 | + | 1.22151i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −11990.5 | + | 36902.9i | −0.600510 | + | 1.84818i | ||||
\(737\) | −13029.5 | − | 40100.8i | −0.651220 | − | 2.00425i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 1440.41 | − | 4433.14i | 0.0717003 | − | 0.220671i | −0.908784 | − | 0.417266i | \(-0.862988\pi\) |
0.980485 | + | 0.196595i | \(0.0629884\pi\) | |||||||
\(740\) | −12939.7 | − | 9191.70i | −0.642802 | − | 0.456613i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 3754.95 | − | 2728.13i | 0.185780 | − | 0.134977i | ||||
\(743\) | 26436.5 | 1.30533 | 0.652666 | − | 0.757646i | \(-0.273650\pi\) | ||||
0.652666 | + | 0.757646i | \(0.273650\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 9714.52 | − | 31021.9i | 0.477735 | − | 1.52557i | ||||
\(746\) | −13732.2 | − | 9977.02i | −0.673956 | − | 0.489658i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −9886.27 | + | 30426.8i | −0.483259 | + | 1.48732i | ||||
\(749\) | 1158.14 | 0.0564989 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −11047.7 | −0.536802 | −0.268401 | − | 0.963307i | \(-0.586495\pi\) | ||||
−0.268401 | + | 0.963307i | \(0.586495\pi\) | |||||||
\(752\) | 2293.17 | − | 7057.66i | 0.111201 | − | 0.342242i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −33386.5 | − | 24256.7i | −1.61255 | − | 1.17159i | ||||
\(755\) | −2539.64 | + | 8109.95i | −0.122420 | + | 0.390929i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −1908.68 | −0.0916411 | −0.0458205 | − | 0.998950i | \(-0.514590\pi\) | ||||
−0.0458205 | + | 0.998950i | \(0.514590\pi\) | |||||||
\(758\) | 16693.6 | − | 12128.6i | 0.799918 | − | 0.581174i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −2342.48 | − | 1663.98i | −0.111804 | − | 0.0794195i | ||||
\(761\) | −849.513 | + | 2614.53i | −0.0404662 | + | 0.124542i | −0.969249 | − | 0.246083i | \(-0.920856\pi\) |
0.928783 | + | 0.370625i | \(0.120856\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 1577.22 | + | 4854.19i | 0.0748352 | + | 0.230319i | ||||
\(764\) | 4675.54 | − | 14389.8i | 0.221407 | − | 0.681421i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −9393.93 | − | 28911.5i | −0.443102 | − | 1.36373i | ||||
\(767\) | −15791.2 | + | 11473.0i | −0.743401 | + | 0.540113i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 4062.71 | − | 2951.73i | 0.190514 | − | 0.138416i | −0.488440 | − | 0.872598i | \(-0.662434\pi\) |
0.678954 | + | 0.734181i | \(0.262434\pi\) | |||||||
\(770\) | −9689.16 | + | 7198.96i | −0.453472 | + | 0.336925i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 21854.3 | + | 15878.1i | 1.01885 | + | 0.740239i | ||||
\(773\) | 4932.83 | − | 15181.7i | 0.229523 | − | 0.706400i | −0.768278 | − | 0.640117i | \(-0.778886\pi\) |
0.997801 | − | 0.0662830i | \(-0.0211140\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −10762.0 | + | 229.944i | −0.498814 | + | 0.0106578i | ||||
\(776\) | −4152.93 | −0.192115 | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −40896.5 | − | 29713.1i | −1.88459 | − | 1.36923i | ||||
\(779\) | −3640.24 | − | 2644.79i | −0.167426 | − | 0.121642i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −20047.5 | + | 14565.4i | −0.918511 | + | 0.667337i | ||||
\(782\) | 61865.0 | 2.82901 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 6555.52 | + | 20175.8i | 0.298630 | + | 0.919088i | ||||
\(785\) | 9438.62 | − | 30140.8i | 0.429145 | − | 1.37041i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −837.844 | − | 2578.62i | −0.0379491 | − | 0.116795i | 0.930287 | − | 0.366832i | \(-0.119557\pi\) |
−0.968236 | + | 0.250036i | \(0.919557\pi\) | |||||||
\(788\) | −8396.20 | − | 25840.9i | −0.379571 | − | 1.16820i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −13220.4 | − | 39256.4i | −0.595394 | − | 1.76795i | ||||
\(791\) | −1636.73 | − | 5037.33i | −0.0735719 | − | 0.226431i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −23859.9 | −1.06846 | ||||||||
\(794\) | −32041.4 | + | 23279.4i | −1.43212 | + | 1.04050i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −26763.2 | − | 19444.6i | −1.19170 | − | 0.865824i | ||||
\(797\) | 8061.78 | + | 5857.23i | 0.358297 | + | 0.260318i | 0.752342 | − | 0.658773i | \(-0.228924\pi\) |
−0.394044 | + | 0.919092i | \(0.628924\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −10721.9 | −0.474735 | ||||||||
\(800\) | −25334.0 | − | 17591.9i | −1.11962 | − | 0.777458i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 9889.51 | − | 30436.8i | 0.435425 | − | 1.34010i | ||||
\(803\) | −6321.22 | − | 4592.63i | −0.277797 | − | 0.201831i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 9001.11 | + | 6393.92i | 0.394096 | + | 0.279945i | ||||
\(806\) | 11644.3 | − | 8460.10i | 0.508876 | − | 0.369720i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 3298.56 | − | 2396.54i | 0.143618 | − | 0.104344i | ||||
\(809\) | 6432.96 | + | 19798.6i | 0.279568 | + | 0.860423i | 0.987974 | + | 0.154618i | \(0.0494145\pi\) |
−0.708406 | + | 0.705805i | \(0.750585\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 2921.02 | − | 8989.98i | 0.126475 | − | 0.389249i | −0.867692 | − | 0.497102i | \(-0.834398\pi\) |
0.994167 | + | 0.107853i | \(0.0343976\pi\) | |||||||
\(812\) | 3440.54 | + | 10588.9i | 0.148694 | + | 0.457632i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 10503.6 | − | 32326.7i | 0.452272 | − | 1.39195i | ||||
\(815\) | 1803.90 | − | 19.2692i | 0.0775310 | − | 0.000828184i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −13788.9 | + | 10018.3i | −0.590470 | + | 0.429002i | ||||
\(818\) | 15532.4 | 0.663910 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −3658.10 | − | 2598.53i | −0.155788 | − | 0.110664i | ||||
\(821\) | 5597.81 | + | 4067.05i | 0.237960 | + | 0.172888i | 0.700374 | − | 0.713776i | \(-0.253017\pi\) |
−0.462414 | + | 0.886664i | \(0.653017\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −7712.15 | + | 23735.6i | −0.326645 | + | 1.00531i | 0.644048 | + | 0.764985i | \(0.277254\pi\) |
−0.970693 | + | 0.240324i | \(0.922746\pi\) | |||||||
\(824\) | −3534.47 | −0.149429 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 11133.1 | 0.468970 | ||||||||
\(827\) | −219.443 | + | 675.376i | −0.00922706 | + | 0.0283980i | −0.955564 | − | 0.294784i | \(-0.904752\pi\) |
0.946337 | + | 0.323182i | \(0.104752\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 17334.3 | + | 12594.1i | 0.726230 | + | 0.527637i | 0.888369 | − | 0.459131i | \(-0.151839\pi\) |
−0.162139 | + | 0.986768i | \(0.551839\pi\) | |||||||
\(830\) | 610.416 | − | 6.52045i | 0.0255275 | − | 0.000272685i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 17257.8 | 0.719120 | ||||||||
\(833\) | 24797.0 | − | 18016.1i | 1.03141 | − | 0.749365i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −10447.6 | − | 31022.9i | −0.433000 | − | 1.28574i | ||||
\(836\) | −7882.56 | + | 24260.0i | −0.326105 | + | 1.00365i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −11080.7 | − | 34103.0i | −0.456775 | − | 1.40581i | ||||
\(839\) | 9810.52 | − | 30193.7i | 0.403691 | − | 1.24243i | −0.518292 | − | 0.855203i | \(-0.673432\pi\) |
0.921983 | − | 0.387229i | \(-0.126568\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 11302.3 | + | 34785.0i | 0.463419 | + | 1.42626i | ||||
\(842\) | 45620.5 | − | 33145.2i | 1.86721 | − | 1.35660i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −21948.2 | + | 15946.3i | −0.895129 | + | 0.650349i | ||||
\(845\) | −1273.21 | − | 3780.65i | −0.0518341 | − | 0.153915i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −3130.06 | − | 2274.12i | −0.126978 | − | 0.0922546i | ||||
\(848\) | −4096.52 | + | 12607.8i | −0.165890 | + | 0.510558i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −14193.5 | + | 47082.4i | −0.572744 | + | 1.89990i | ||||
\(851\) | −31090.2 | −1.25236 | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 2035.11 | + | 1478.59i | 0.0816890 | + | 0.0593505i | 0.627880 | − | 0.778310i | \(-0.283923\pi\) |
−0.546191 | + | 0.837661i | \(0.683923\pi\) | |||||||
\(854\) | 11009.9 | + | 7999.16i | 0.441160 | + | 0.320522i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −476.303 | + | 346.055i | −0.0190184 | + | 0.0138176i | ||||
\(857\) | −14351.2 | −0.572027 | −0.286013 | − | 0.958226i | \(-0.592330\pi\) | ||||
−0.286013 | + | 0.958226i | \(0.592330\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −1558.31 | − | 4795.99i | −0.0618963 | − | 0.190497i | 0.915327 | − | 0.402712i | \(-0.131932\pi\) |
−0.977223 | + | 0.212215i | \(0.931932\pi\) | |||||||
\(860\) | −13643.2 | + | 10136.8i | −0.540965 | + | 0.401932i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −20085.1 | − | 61815.5i | −0.793620 | − | 2.44251i | ||||
\(863\) | −3735.81 | − | 11497.6i | −0.147356 | − | 0.453515i | 0.849950 | − | 0.526863i | \(-0.176632\pi\) |
−0.997306 | + | 0.0733474i | \(0.976632\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −22211.7 | − | 15778.0i | −0.873088 | − | 0.620196i | ||||
\(866\) | −8979.91 | − | 27637.3i | −0.352367 | − | 1.08447i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −3883.18 | −0.151848 | ||||||||
\(869\) | 33946.2 | − | 24663.3i | 1.32514 | − | 0.962769i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 33162.0 | + | 24093.6i | 1.29007 | + | 0.937292i | ||||
\(872\) | −2099.09 | − | 1525.08i | −0.0815185 | − | 0.0592267i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 49326.4 | 1.90903 | ||||||||
\(875\) | −6931.19 | + | 5383.36i | −0.267791 | + | 0.207990i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 8126.34 | − | 25010.3i | 0.312893 | − | 0.962985i | −0.663720 | − | 0.747981i | \(-0.731023\pi\) |
0.976613 | − | 0.215004i | \(-0.0689766\pi\) | |||||||
\(878\) | 31840.4 | + | 23133.4i | 1.22387 | + | 0.889196i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 10303.0 | − | 32901.0i | 0.394674 | − | 1.26033i | ||||
\(881\) | −13701.2 | + | 9954.53i | −0.523957 | + | 0.380677i | −0.818093 | − | 0.575086i | \(-0.804968\pi\) |
0.294135 | + | 0.955764i | \(0.404968\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 34929.9 | − | 25378.0i | 1.33124 | − | 0.967201i | 0.331520 | − | 0.943448i | \(-0.392439\pi\) |
0.999718 | − | 0.0237528i | \(-0.00756146\pi\) | |||||||
\(884\) | −9611.01 | − | 29579.7i | −0.365671 | − | 1.12542i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −3763.08 | + | 11581.6i | −0.142690 | + | 0.439155i | ||||
\(887\) | 2911.05 | + | 8959.28i | 0.110195 | + | 0.339147i | 0.990915 | − | 0.134492i | \(-0.0429403\pi\) |
−0.880719 | + | 0.473639i | \(0.842940\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −3395.04 | + | 10448.9i | −0.128083 | + | 0.394200i | ||||
\(890\) | −16181.3 | + | 12022.6i | −0.609438 | + | 0.452807i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 19547.8 | − | 14202.3i | 0.733753 | − | 0.533103i | ||||
\(893\) | −8548.83 | −0.320353 | ||||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −31080.6 | + | 23092.6i | −1.16079 | + | 0.862460i | ||||
\(896\) | 2065.05 | + | 1500.35i | 0.0769962 | + | 0.0559410i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −17540.3 | + | 53983.5i | −0.651813 | + | 2.00607i | ||||
\(899\) | −21262.6 | −0.788819 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 19153.6 | 0.708211 | ||||||||
\(902\) | 2969.40 | − | 9138.86i | 0.109612 | − | 0.337351i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 2178.29 | + | 1582.62i | 0.0801424 | + | 0.0582268i | ||||
\(905\) | 13458.0 | + | 39961.9i | 0.494319 | + | 1.46782i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −11306.3 | −0.413912 | −0.206956 | − | 0.978350i | \(-0.566356\pi\) | ||||
−0.206956 | + | 0.978350i | \(0.566356\pi\) | |||||||
\(908\) | 35134.7 | − | 25526.9i | 1.28413 | − | 0.932973i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 3506.82 | − | 11198.5i | 0.127747 | − | 0.407942i | ||||
\(911\) | −2958.31 | + | 9104.73i | −0.107588 | + | 0.331123i | −0.990329 | − | 0.138737i | \(-0.955696\pi\) |
0.882741 | + | 0.469860i | \(0.155696\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 191.085 | + | 588.100i | 0.00692662 | + | 0.0213179i | ||||
\(914\) | 17949.7 | − | 55243.4i | 0.649587 | − | 1.99922i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −4523.84 | − | 13922.9i | −0.163179 | − | 0.502213i | ||||
\(917\) | −2545.93 | + | 1849.73i | −0.0916839 | + | 0.0666123i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −24082.4 | + | 17496.9i | −0.864423 | + | 0.628040i | −0.929085 | − | 0.369867i | \(-0.879403\pi\) |
0.0646620 | + | 0.997907i | \(0.479403\pi\) | |||||||
\(920\) | −5612.34 | + | 59.9509i | −0.201123 | + | 0.00214839i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −11629.8 | − | 8449.57i | −0.415410 | − | 0.301813i | ||||
\(923\) | 7444.28 | − | 22911.1i | 0.265473 | − | 0.817041i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 7132.91 | − | 23661.2i | 0.253545 | − | 0.841054i | ||||
\(926\) | 53885.6 | 1.91230 | ||||||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −49287.9 | − | 35809.8i | −1.74349 | − | 1.26672i | ||||
\(929\) | −4596.53 | − | 3339.57i | −0.162333 | − | 0.117942i | 0.503653 | − | 0.863906i | \(-0.331989\pi\) |
−0.665986 | + | 0.745964i | \(0.731989\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 19771.3 | − | 14364.7i | 0.696002 | − | 0.505675i | ||||
\(932\) | 92.8909 | 0.00326474 | ||||||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −329.955 | − | 1015.50i | −0.0115594 | − | 0.0355761i | ||||
\(935\) | −49809.9 | + | 532.068i | −1.74220 | + | 0.0186101i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 7040.36 | + | 21668.0i | 0.245463 | + | 0.755456i | 0.995560 | + | 0.0941287i | \(0.0300065\pi\) |
−0.750098 | + | 0.661327i | \(0.769993\pi\) | |||||||
\(938\) | −7224.75 | − | 22235.5i | −0.251489 | − | 0.774002i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −8524.63 | + | 91.0599i | −0.295790 | + | 0.00315962i | ||||
\(941\) | 12872.8 | + | 39618.5i | 0.445954 | + | 1.37251i | 0.881434 | + | 0.472307i | \(0.156579\pi\) |
−0.435480 | + | 0.900198i | \(0.643421\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −8789.30 | −0.303520 | ||||||||
\(944\) | −25725.2 | + | 18690.5i | −0.886954 | + | 0.644410i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −29447.3 | − | 21394.7i | −1.01206 | − | 0.735308i | ||||
\(947\) | 17508.0 | + | 12720.3i | 0.600776 | + | 0.436489i | 0.846154 | − | 0.532938i | \(-0.178912\pi\) |
−0.245379 | + | 0.969427i | \(0.578912\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 7595.91 | 0.259825 | ||||||||
\(950\) | −11316.8 | + | 37539.9i | −0.386490 | + | 1.28206i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 625.491 | − | 1925.06i | 0.0212944 | − | 0.0655374i | ||||
\(953\) | −33254.6 | − | 24160.9i | −1.13035 | − | 0.821245i | −0.144602 | − | 0.989490i | \(-0.546190\pi\) |
−0.985745 | + | 0.168244i | \(0.946190\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 23556.7 | − | 251.632i | 0.798196 | − | 0.00852630i | ||||
\(956\) | −73.3038 | + | 53.2583i | −0.00247993 | + | 0.00180178i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −46706.1 | + | 33934.0i | −1.57516 | + | 1.14442i | ||||
\(959\) | −2703.05 | − | 8319.14i | −0.0910179 | − | 0.280124i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −6914.31 | + | 21280.0i | −0.232094 | + | 0.714311i | ||||
\(962\) | 10211.1 | + | 31426.6i | 0.342224 | + | 1.05326i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 14970.2 | − | 46073.5i | 0.500163 | − | 1.53934i | ||||
\(965\) | −12569.2 | + | 40138.0i | −0.419293 | + | 1.33895i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −16333.9 | + | 11867.3i | −0.543189 | + | 0.394650i | −0.825268 | − | 0.564741i | \(-0.808976\pi\) |
0.282079 | + | 0.959391i | \(0.408976\pi\) | |||||||
\(968\) | 1966.79 | 0.0653047 | ||||||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 18086.5 | + | 53705.8i | 0.598684 | + | 1.77772i | ||||
\(971\) | 18649.6 | + | 13549.7i | 0.616369 | + | 0.447818i | 0.851651 | − | 0.524109i | \(-0.175601\pi\) |
−0.235282 | + | 0.971927i | \(0.575601\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 1807.94 | − | 5564.28i | 0.0595684 | − | 0.183333i | ||||
\(974\) | −67348.9 | −2.21560 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −38869.7 | −1.27478 | ||||||||
\(977\) | −3654.77 | + | 11248.2i | −0.119679 | + | 0.368335i | −0.992894 | − | 0.119000i | \(-0.962031\pi\) |
0.873215 | + | 0.487335i | \(0.162031\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −16520.3 | − | 12002.7i | −0.539315 | − | 0.391836i | ||||
\(980\) | 19562.3 | − | 14534.6i | 0.637648 | − | 0.473767i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 38402.3 | 1.24793 | ||||||||
\(983\) | −47814.5 | + | 34739.2i | −1.55142 | + | 1.12717i | −0.608788 | + | 0.793333i | \(0.708344\pi\) |
−0.942630 | + | 0.333839i | \(0.891656\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 33957.8 | − | 25230.4i | 1.09846 | − | 0.816148i | ||||
\(986\) | −30016.2 | + | 92380.4i | −0.969483 | + | 2.98376i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −7663.09 | − | 23584.6i | −0.246757 | − | 0.759439i | ||||
\(989\) | −10288.2 | + | 31663.7i | −0.330783 | + | 1.01805i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 970.100 | + | 2985.66i | 0.0310961 | + | 0.0957040i | 0.965400 | − | 0.260774i | \(-0.0839776\pi\) |
−0.934304 | + | 0.356478i | \(0.883978\pi\) | |||||||
\(992\) | 17190.3 | − | 12489.5i | 0.550194 | − | 0.399740i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −11116.2 | + | 8076.36i | −0.354711 | + | 0.257713i | ||||
\(995\) | 15392.6 | − | 49153.8i | 0.490429 | − | 1.56611i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −36538.2 | − | 26546.6i | −1.16066 | − | 0.843269i | −0.170798 | − | 0.985306i | \(-0.554635\pi\) |
−0.989861 | + | 0.142037i | \(0.954635\pi\) | |||||||
\(998\) | −12192.2 | + | 37523.9i | −0.386712 | + | 1.19018i | ||||
\(999\) | 0 | 0 |
(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 | 225.4.h.d.46.4 | ✓ | 64 | |
3.2 | odd | 2 | inner | 225.4.h.d.46.13 | yes | 64 | |
25.6 | even | 5 | inner | 225.4.h.d.181.4 | yes | 64 | |
75.56 | odd | 10 | inner | 225.4.h.d.181.13 | yes | 64 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
225.4.h.d.46.4 | ✓ | 64 | 1.1 | even | 1 | trivial | |
225.4.h.d.46.13 | yes | 64 | 3.2 | odd | 2 | inner | |
225.4.h.d.181.4 | yes | 64 | 25.6 | even | 5 | inner | |
225.4.h.d.181.13 | yes | 64 | 75.56 | odd | 10 | inner |