Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [27,4,Mod(4,27)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(27, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("27.4");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 27 = 3^{3} \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 27.e (of order \(9\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.59305157015\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 25.1 | ||
Character | \(\chi\) | \(=\) | 27.25 |
Dual form | 27.4.e.a.13.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/27\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{5}{9}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.874714 | + | 4.96075i | −0.309258 | + | 1.75389i | 0.293495 | + | 0.955961i | \(0.405182\pi\) |
−0.602753 | + | 0.797928i | \(0.705929\pi\) | |||||||
\(3\) | 2.71299 | + | 4.43167i | 0.522115 | + | 0.852875i | ||||
\(4\) | −16.3263 | − | 5.94230i | −2.04079 | − | 0.742788i | ||||
\(5\) | 11.9326 | − | 10.0126i | 1.06728 | − | 0.895556i | 0.0724791 | − | 0.997370i | \(-0.476909\pi\) |
0.994804 | + | 0.101813i | \(0.0324645\pi\) | |||||||
\(6\) | −24.3575 | + | 9.58200i | −1.65732 | + | 0.651972i | ||||
\(7\) | −5.29732 | + | 1.92807i | −0.286029 | + | 0.104106i | −0.481050 | − | 0.876693i | \(-0.659745\pi\) |
0.195022 | + | 0.980799i | \(0.437522\pi\) | |||||||
\(8\) | 23.6100 | − | 40.8938i | 1.04343 | − | 1.80727i | ||||
\(9\) | −12.2794 | + | 24.0461i | −0.454793 | + | 0.890597i | ||||
\(10\) | 39.2325 | + | 67.9527i | 1.24064 | + | 2.14885i | ||||
\(11\) | 30.2222 | + | 25.3594i | 0.828395 | + | 0.695106i | 0.954922 | − | 0.296858i | \(-0.0959387\pi\) |
−0.126527 | + | 0.991963i | \(0.540383\pi\) | |||||||
\(12\) | −17.9588 | − | 88.4744i | −0.432022 | − | 2.12836i | ||||
\(13\) | −10.1763 | − | 57.7124i | −0.217106 | − | 1.23127i | −0.877213 | − | 0.480100i | \(-0.840600\pi\) |
0.660107 | − | 0.751172i | \(-0.270511\pi\) | |||||||
\(14\) | −4.93102 | − | 27.9652i | −0.0941336 | − | 0.533858i | ||||
\(15\) | 76.7456 | + | 25.7172i | 1.32104 | + | 0.442676i | ||||
\(16\) | 75.7369 | + | 63.5508i | 1.18339 | + | 0.992981i | ||||
\(17\) | 8.53867 | + | 14.7894i | 0.121819 | + | 0.210998i | 0.920485 | − | 0.390777i | \(-0.127794\pi\) |
−0.798666 | + | 0.601775i | \(0.794460\pi\) | |||||||
\(18\) | −108.546 | − | 81.9485i | −1.42136 | − | 1.07308i | ||||
\(19\) | 10.5573 | − | 18.2858i | 0.127474 | − | 0.220792i | −0.795223 | − | 0.606317i | \(-0.792646\pi\) |
0.922697 | + | 0.385525i | \(0.125980\pi\) | |||||||
\(20\) | −254.314 | + | 92.5626i | −2.84331 | + | 1.03488i | ||||
\(21\) | −22.9161 | − | 18.2452i | −0.238129 | − | 0.189592i | ||||
\(22\) | −152.238 | + | 127.742i | −1.47533 | + | 1.23795i | ||||
\(23\) | −27.3949 | − | 9.97093i | −0.248358 | − | 0.0903949i | 0.214842 | − | 0.976649i | \(-0.431076\pi\) |
−0.463200 | + | 0.886254i | \(0.653299\pi\) | |||||||
\(24\) | 245.282 | − | 6.31238i | 2.08616 | − | 0.0536879i | ||||
\(25\) | 20.4278 | − | 115.852i | 0.163423 | − | 0.926816i | ||||
\(26\) | 295.198 | 2.22666 | ||||||||
\(27\) | −139.878 | + | 10.8185i | −0.997022 | + | 0.0771121i | ||||
\(28\) | 97.9431 | 0.661054 | ||||||||
\(29\) | 34.8557 | − | 197.676i | 0.223191 | − | 1.26578i | −0.642922 | − | 0.765931i | \(-0.722278\pi\) |
0.866113 | − | 0.499848i | \(-0.166611\pi\) | |||||||
\(30\) | −194.707 | + | 358.220i | −1.18495 | + | 2.18006i | ||||
\(31\) | 36.3946 | + | 13.2466i | 0.210860 | + | 0.0767469i | 0.445291 | − | 0.895386i | \(-0.353100\pi\) |
−0.234430 | + | 0.972133i | \(0.575323\pi\) | |||||||
\(32\) | −92.1260 | + | 77.3029i | −0.508929 | + | 0.427042i | ||||
\(33\) | −30.3923 | + | 202.735i | −0.160322 | + | 1.06944i | ||||
\(34\) | −80.8354 | + | 29.4217i | −0.407740 | + | 0.148405i | ||||
\(35\) | −43.9057 | + | 76.0470i | −0.212041 | + | 0.367265i | ||||
\(36\) | 343.367 | − | 319.617i | 1.58966 | − | 1.47971i | ||||
\(37\) | −144.366 | − | 250.048i | −0.641447 | − | 1.11102i | −0.985110 | − | 0.171926i | \(-0.945001\pi\) |
0.343662 | − | 0.939093i | \(-0.388332\pi\) | |||||||
\(38\) | 81.4764 | + | 68.3668i | 0.347822 | + | 0.291857i | ||||
\(39\) | 228.154 | − | 201.671i | 0.936767 | − | 0.828030i | ||||
\(40\) | −127.725 | − | 724.367i | −0.504879 | − | 2.86331i | ||||
\(41\) | 78.5187 | + | 445.302i | 0.299087 | + | 1.69621i | 0.650110 | + | 0.759840i | \(0.274723\pi\) |
−0.351023 | + | 0.936367i | \(0.614166\pi\) | |||||||
\(42\) | 110.555 | − | 97.7218i | 0.406166 | − | 0.359019i | ||||
\(43\) | −12.7283 | − | 10.6803i | −0.0451407 | − | 0.0378775i | 0.619938 | − | 0.784651i | \(-0.287158\pi\) |
−0.665079 | + | 0.746773i | \(0.731602\pi\) | |||||||
\(44\) | −342.725 | − | 593.617i | −1.17427 | − | 2.03389i | ||||
\(45\) | 94.2398 | + | 409.881i | 0.312188 | + | 1.35781i | ||||
\(46\) | 73.4259 | − | 127.177i | 0.235349 | − | 0.407637i | ||||
\(47\) | −101.430 | + | 36.9176i | −0.314790 | + | 0.114574i | −0.494583 | − | 0.869130i | \(-0.664679\pi\) |
0.179794 | + | 0.983704i | \(0.442457\pi\) | |||||||
\(48\) | −76.1630 | + | 508.053i | −0.229025 | + | 1.52773i | ||||
\(49\) | −238.409 | + | 200.049i | −0.695070 | + | 0.583233i | ||||
\(50\) | 556.844 | + | 202.675i | 1.57499 | + | 0.573250i | ||||
\(51\) | −42.3765 | + | 77.9640i | −0.116351 | + | 0.214062i | ||||
\(52\) | −176.804 | + | 1002.70i | −0.471505 | + | 2.67404i | ||||
\(53\) | −540.581 | −1.40103 | −0.700514 | − | 0.713639i | \(-0.747046\pi\) | ||||
−0.700514 | + | 0.713639i | \(0.747046\pi\) | |||||||
\(54\) | 68.6856 | − | 703.364i | 0.173091 | − | 1.77251i | ||||
\(55\) | 614.544 | 1.50664 | ||||||||
\(56\) | −46.2240 | + | 262.150i | −0.110303 | + | 0.625557i | ||||
\(57\) | 109.678 | − | 2.82260i | 0.254864 | − | 0.00655898i | ||||
\(58\) | 950.134 | + | 345.821i | 2.15101 | + | 0.782905i | ||||
\(59\) | 124.757 | − | 104.684i | 0.275288 | − | 0.230994i | −0.494682 | − | 0.869074i | \(-0.664715\pi\) |
0.769970 | + | 0.638080i | \(0.220271\pi\) | |||||||
\(60\) | −1100.16 | − | 875.913i | −2.36716 | − | 1.88466i | ||||
\(61\) | −425.952 | + | 155.034i | −0.894058 | + | 0.325411i | −0.747869 | − | 0.663846i | \(-0.768923\pi\) |
−0.146189 | + | 0.989257i | \(0.546701\pi\) | |||||||
\(62\) | −97.5477 | + | 168.958i | −0.199816 | + | 0.346091i | ||||
\(63\) | 18.6854 | − | 151.056i | 0.0373674 | − | 0.302083i | ||||
\(64\) | 92.5737 | + | 160.342i | 0.180808 | + | 0.313169i | ||||
\(65\) | −699.282 | − | 586.767i | −1.33439 | − | 1.11968i | ||||
\(66\) | −979.131 | − | 328.103i | −1.82610 | − | 0.611920i | ||||
\(67\) | 53.9930 | + | 306.209i | 0.0984521 | + | 0.558350i | 0.993635 | + | 0.112650i | \(0.0359339\pi\) |
−0.895183 | + | 0.445700i | \(0.852955\pi\) | |||||||
\(68\) | −51.5221 | − | 292.196i | −0.0918820 | − | 0.521088i | ||||
\(69\) | −30.1341 | − | 148.456i | −0.0525757 | − | 0.259015i | ||||
\(70\) | −338.845 | − | 284.325i | −0.578567 | − | 0.485476i | ||||
\(71\) | 207.996 | + | 360.260i | 0.347671 | + | 0.602183i | 0.985835 | − | 0.167717i | \(-0.0536394\pi\) |
−0.638165 | + | 0.769900i | \(0.720306\pi\) | |||||||
\(72\) | 693.420 | + | 1069.88i | 1.13500 | + | 1.75121i | ||||
\(73\) | 294.437 | − | 509.980i | 0.472072 | − | 0.817652i | −0.527418 | − | 0.849606i | \(-0.676840\pi\) |
0.999489 | + | 0.0319540i | \(0.0101730\pi\) | |||||||
\(74\) | 1366.71 | − | 497.440i | 2.14698 | − | 0.781436i | ||||
\(75\) | 568.838 | − | 223.775i | 0.875784 | − | 0.344525i | ||||
\(76\) | −281.021 | + | 235.805i | −0.424150 | + | 0.355904i | ||||
\(77\) | −208.992 | − | 76.0667i | −0.309309 | − | 0.112579i | ||||
\(78\) | 800.868 | + | 1308.22i | 1.16257 | + | 1.89906i | ||||
\(79\) | 81.7637 | − | 463.705i | 0.116445 | − | 0.660391i | −0.869580 | − | 0.493792i | \(-0.835610\pi\) |
0.986025 | − | 0.166599i | \(-0.0532784\pi\) | |||||||
\(80\) | 1540.05 | 2.15228 | ||||||||
\(81\) | −427.432 | − | 590.544i | −0.586327 | − | 0.810075i | ||||
\(82\) | −2277.71 | −3.06745 | ||||||||
\(83\) | 43.8952 | − | 248.942i | 0.0580496 | − | 0.329216i | −0.941929 | − | 0.335813i | \(-0.890989\pi\) |
0.999978 | + | 0.00659738i | \(0.00210003\pi\) | |||||||
\(84\) | 265.718 | + | 434.052i | 0.345146 | + | 0.563797i | ||||
\(85\) | 249.969 | + | 90.9813i | 0.318976 | + | 0.116098i | ||||
\(86\) | 64.1160 | − | 53.7997i | 0.0803931 | − | 0.0674578i | ||||
\(87\) | 970.600 | − | 381.825i | 1.19608 | − | 0.470528i | ||||
\(88\) | 1750.59 | − | 637.163i | 2.12061 | − | 0.771839i | ||||
\(89\) | −468.388 | + | 811.272i | −0.557854 | + | 0.966232i | 0.439821 | + | 0.898085i | \(0.355042\pi\) |
−0.997675 | + | 0.0681465i | \(0.978291\pi\) | |||||||
\(90\) | −2115.75 | + | 108.971i | −2.47800 | + | 0.127628i | ||||
\(91\) | 165.180 | + | 286.101i | 0.190281 | + | 0.329577i | ||||
\(92\) | 388.008 | + | 325.578i | 0.439703 | + | 0.368955i | ||||
\(93\) | 40.0337 | + | 197.227i | 0.0446377 | + | 0.219908i | ||||
\(94\) | −94.4163 | − | 535.462i | −0.103599 | − | 0.587539i | ||||
\(95\) | −57.1127 | − | 323.902i | −0.0616805 | − | 0.349807i | ||||
\(96\) | −592.518 | − | 198.550i | −0.629933 | − | 0.211088i | ||||
\(97\) | 247.545 | + | 207.715i | 0.259117 | + | 0.217425i | 0.763087 | − | 0.646296i | \(-0.223683\pi\) |
−0.503969 | + | 0.863722i | \(0.668127\pi\) | |||||||
\(98\) | −783.853 | − | 1357.67i | −0.807970 | − | 1.39945i | ||||
\(99\) | −980.907 | + | 415.328i | −0.995807 | + | 0.421637i | ||||
\(100\) | −1021.94 | + | 1770.05i | −1.02194 | + | 1.77005i | ||||
\(101\) | 237.515 | − | 86.4486i | 0.233997 | − | 0.0851678i | −0.222360 | − | 0.974965i | \(-0.571376\pi\) |
0.456357 | + | 0.889797i | \(0.349154\pi\) | |||||||
\(102\) | −349.693 | − | 278.415i | −0.339458 | − | 0.270267i | ||||
\(103\) | −1017.67 | + | 853.925i | −0.973533 | + | 0.816891i | −0.983101 | − | 0.183063i | \(-0.941399\pi\) |
0.00956859 | + | 0.999954i | \(0.496954\pi\) | |||||||
\(104\) | −2600.34 | − | 946.447i | −2.45177 | − | 0.892372i | ||||
\(105\) | −456.131 | + | 11.7386i | −0.423941 | + | 0.0109102i | ||||
\(106\) | 472.853 | − | 2681.68i | 0.433279 | − | 2.45725i | ||||
\(107\) | 1780.29 | 1.60848 | 0.804241 | − | 0.594303i | \(-0.202572\pi\) | ||||
0.804241 | + | 0.594303i | \(0.202572\pi\) | |||||||
\(108\) | 2347.99 | + | 654.573i | 2.09199 | + | 0.583207i | ||||
\(109\) | 1698.95 | 1.49293 | 0.746466 | − | 0.665424i | \(-0.231749\pi\) | ||||
0.746466 | + | 0.665424i | \(0.231749\pi\) | |||||||
\(110\) | −537.550 | + | 3048.60i | −0.465940 | + | 2.64247i | ||||
\(111\) | 716.471 | − | 1318.16i | 0.612652 | − | 1.12715i | ||||
\(112\) | −523.733 | − | 190.623i | −0.441858 | − | 0.160823i | ||||
\(113\) | −420.449 | + | 352.799i | −0.350022 | + | 0.293704i | −0.800799 | − | 0.598933i | \(-0.795592\pi\) |
0.450777 | + | 0.892637i | \(0.351147\pi\) | |||||||
\(114\) | −81.9349 | + | 546.555i | −0.0673149 | + | 0.449031i | ||||
\(115\) | −426.727 | + | 155.316i | −0.346022 | + | 0.125942i | ||||
\(116\) | −1743.72 | + | 3020.21i | −1.39569 | + | 2.41741i | ||||
\(117\) | 1512.72 | + | 463.975i | 1.19531 | + | 0.366619i | ||||
\(118\) | 410.182 | + | 710.457i | 0.320003 | + | 0.554262i | ||||
\(119\) | −73.7471 | − | 61.8812i | −0.0568100 | − | 0.0476692i | ||||
\(120\) | 2863.64 | − | 2531.24i | 2.17844 | − | 1.92558i | ||||
\(121\) | 39.1548 | + | 222.058i | 0.0294176 | + | 0.166835i | ||||
\(122\) | −396.498 | − | 2248.65i | −0.294239 | − | 1.66871i | ||||
\(123\) | −1760.41 | + | 1556.07i | −1.29050 | + | 1.14070i | ||||
\(124\) | −515.476 | − | 432.536i | −0.373316 | − | 0.313249i | ||||
\(125\) | 57.3291 | + | 99.2969i | 0.0410214 | + | 0.0710511i | ||||
\(126\) | 733.005 | + | 224.824i | 0.518264 | + | 0.158960i | ||||
\(127\) | −222.595 | + | 385.545i | −0.155528 | + | 0.269383i | −0.933251 | − | 0.359224i | \(-0.883041\pi\) |
0.777723 | + | 0.628607i | \(0.216375\pi\) | |||||||
\(128\) | −1780.47 | + | 648.037i | −1.22947 | + | 0.447492i | ||||
\(129\) | 12.7999 | − | 85.3832i | 0.00873621 | − | 0.0582758i | ||||
\(130\) | 3522.47 | − | 2955.71i | 2.37647 | − | 1.99410i | ||||
\(131\) | 1778.56 | + | 647.343i | 1.18621 | + | 0.431745i | 0.858392 | − | 0.512995i | \(-0.171464\pi\) |
0.327819 | + | 0.944740i | \(0.393686\pi\) | |||||||
\(132\) | 1700.91 | − | 3129.32i | 1.12155 | − | 2.06343i | ||||
\(133\) | −20.6692 | + | 117.221i | −0.0134755 | + | 0.0764235i | ||||
\(134\) | −1566.26 | −1.00973 | ||||||||
\(135\) | −1560.79 | + | 1529.64i | −0.995047 | + | 0.975190i | ||||
\(136\) | 806.394 | 0.508439 | ||||||||
\(137\) | 331.214 | − | 1878.41i | 0.206551 | − | 1.17141i | −0.688429 | − | 0.725303i | \(-0.741699\pi\) |
0.894980 | − | 0.446106i | \(-0.147189\pi\) | |||||||
\(138\) | 762.812 | − | 19.6312i | 0.470543 | − | 0.0121095i | ||||
\(139\) | −2876.67 | − | 1047.02i | −1.75537 | − | 0.638901i | −0.755499 | − | 0.655150i | \(-0.772606\pi\) |
−0.999868 | + | 0.0162483i | \(0.994828\pi\) | |||||||
\(140\) | 1168.71 | − | 980.668i | 0.705531 | − | 0.592011i | ||||
\(141\) | −438.785 | − | 349.348i | −0.262074 | − | 0.208655i | ||||
\(142\) | −1969.10 | + | 716.693i | −1.16368 | + | 0.423546i | ||||
\(143\) | 1156.01 | − | 2002.26i | 0.676014 | − | 1.17089i | ||||
\(144\) | −2458.15 | + | 1040.81i | −1.42254 | + | 0.602322i | ||||
\(145\) | −1563.34 | − | 2707.79i | −0.895369 | − | 1.55082i | ||||
\(146\) | 2272.33 | + | 1906.71i | 1.28808 | + | 1.08083i | ||||
\(147\) | −1533.35 | − | 513.820i | −0.860331 | − | 0.288294i | ||||
\(148\) | 871.098 | + | 4940.24i | 0.483810 | + | 2.74382i | ||||
\(149\) | 192.006 | + | 1088.92i | 0.105569 | + | 0.598711i | 0.990992 | + | 0.133924i | \(0.0427580\pi\) |
−0.885423 | + | 0.464787i | \(0.846131\pi\) | |||||||
\(150\) | 612.523 | + | 3017.60i | 0.333415 | + | 1.64257i | ||||
\(151\) | 2116.76 | + | 1776.17i | 1.14079 | + | 0.957235i | 0.999464 | − | 0.0327280i | \(-0.0104195\pi\) |
0.141324 | + | 0.989963i | \(0.454864\pi\) | |||||||
\(152\) | −498.516 | − | 863.455i | −0.266020 | − | 0.460760i | ||||
\(153\) | −460.478 | + | 23.7167i | −0.243316 | + | 0.0125319i | ||||
\(154\) | 560.156 | − | 970.218i | 0.293108 | − | 0.507678i | ||||
\(155\) | 566.915 | − | 206.340i | 0.293779 | − | 0.106927i | ||||
\(156\) | −4923.31 | + | 1936.78i | −2.52680 | + | 0.994018i | ||||
\(157\) | 843.686 | − | 707.937i | 0.428876 | − | 0.359869i | −0.402652 | − | 0.915353i | \(-0.631911\pi\) |
0.831527 | + | 0.555484i | \(0.187467\pi\) | |||||||
\(158\) | 2228.80 | + | 811.218i | 1.12224 | + | 0.408462i | ||||
\(159\) | −1466.59 | − | 2395.68i | −0.731497 | − | 1.19490i | ||||
\(160\) | −325.296 | + | 1844.85i | −0.160731 | + | 0.911550i | ||||
\(161\) | 164.344 | 0.0804481 | ||||||||
\(162\) | 3303.42 | − | 1603.83i | 1.60211 | − | 0.777830i | ||||
\(163\) | −3204.18 | −1.53970 | −0.769849 | − | 0.638227i | \(-0.779668\pi\) | ||||
−0.769849 | + | 0.638227i | \(0.779668\pi\) | |||||||
\(164\) | 1364.20 | − | 7736.74i | 0.649547 | − | 3.68377i | ||||
\(165\) | 1667.25 | + | 2723.46i | 0.786637 | + | 1.28497i | ||||
\(166\) | 1196.54 | + | 435.506i | 0.559456 | + | 0.203625i | ||||
\(167\) | −894.925 | + | 750.931i | −0.414679 | + | 0.347957i | −0.826135 | − | 0.563473i | \(-0.809465\pi\) |
0.411456 | + | 0.911430i | \(0.365021\pi\) | |||||||
\(168\) | −1287.17 | + | 506.358i | −0.591113 | + | 0.232538i | ||||
\(169\) | −1162.66 | + | 423.173i | −0.529203 | + | 0.192614i | ||||
\(170\) | −669.987 | + | 1160.45i | −0.302269 | + | 0.523544i | ||||
\(171\) | 310.064 | + | 478.400i | 0.138662 | + | 0.213943i | ||||
\(172\) | 144.341 | + | 250.006i | 0.0639878 | + | 0.110830i | ||||
\(173\) | 1073.53 | + | 900.795i | 0.471784 | + | 0.395874i | 0.847445 | − | 0.530883i | \(-0.178140\pi\) |
−0.375661 | + | 0.926757i | \(0.622584\pi\) | |||||||
\(174\) | 1045.14 | + | 5148.89i | 0.455355 | + | 2.24331i | ||||
\(175\) | 115.158 | + | 653.092i | 0.0497435 | + | 0.282109i | ||||
\(176\) | 677.323 | + | 3841.29i | 0.290086 | + | 1.64516i | ||||
\(177\) | 802.388 | + | 268.877i | 0.340741 | + | 0.114181i | ||||
\(178\) | −3614.81 | − | 3033.18i | −1.52214 | − | 1.27723i | ||||
\(179\) | 720.190 | + | 1247.41i | 0.300723 | + | 0.520868i | 0.976300 | − | 0.216422i | \(-0.0694385\pi\) |
−0.675577 | + | 0.737290i | \(0.736105\pi\) | |||||||
\(180\) | 897.049 | − | 7251.87i | 0.371456 | − | 3.00290i | ||||
\(181\) | 448.108 | − | 776.145i | 0.184020 | − | 0.318732i | −0.759226 | − | 0.650827i | \(-0.774422\pi\) |
0.943246 | + | 0.332095i | \(0.107756\pi\) | |||||||
\(182\) | −1563.76 | + | 569.162i | −0.636888 | + | 0.231808i | ||||
\(183\) | −1842.66 | − | 1467.07i | −0.744335 | − | 0.592619i | ||||
\(184\) | −1054.54 | + | 884.867i | −0.422511 | + | 0.354529i | ||||
\(185\) | −4226.30 | − | 1538.25i | −1.67959 | − | 0.611319i | ||||
\(186\) | −1013.41 | + | 26.0804i | −0.399499 | + | 0.0102812i | ||||
\(187\) | −116.994 | + | 663.505i | −0.0457510 | + | 0.259467i | ||||
\(188\) | 1875.36 | 0.727525 | ||||||||
\(189\) | 720.122 | − | 327.004i | 0.277149 | − | 0.125852i | ||||
\(190\) | 1656.76 | 0.632598 | ||||||||
\(191\) | −103.056 | + | 584.457i | −0.0390410 | + | 0.221413i | −0.998086 | − | 0.0618411i | \(-0.980303\pi\) |
0.959045 | + | 0.283254i | \(0.0914139\pi\) | |||||||
\(192\) | −459.433 | + | 845.263i | −0.172691 | + | 0.317717i | ||||
\(193\) | 1338.31 | + | 487.105i | 0.499138 | + | 0.181671i | 0.579306 | − | 0.815110i | \(-0.303324\pi\) |
−0.0801683 | + | 0.996781i | \(0.525546\pi\) | |||||||
\(194\) | −1246.95 | + | 1046.32i | −0.461474 | + | 0.387223i | ||||
\(195\) | 703.216 | − | 4690.88i | 0.258248 | − | 1.72267i | ||||
\(196\) | 5081.10 | − | 1849.37i | 1.85171 | − | 0.673968i | ||||
\(197\) | 384.953 | − | 666.759i | 0.139222 | − | 0.241140i | −0.787980 | − | 0.615701i | \(-0.788873\pi\) |
0.927202 | + | 0.374561i | \(0.122206\pi\) | |||||||
\(198\) | −1202.32 | − | 5229.33i | −0.431543 | − | 1.87693i | ||||
\(199\) | 2271.87 | + | 3935.00i | 0.809290 | + | 1.40173i | 0.913356 | + | 0.407162i | \(0.133481\pi\) |
−0.104066 | + | 0.994570i | \(0.533185\pi\) | |||||||
\(200\) | −4255.33 | − | 3570.64i | −1.50449 | − | 1.26241i | ||||
\(201\) | −1210.54 | + | 1070.02i | −0.424799 | + | 0.375490i | ||||
\(202\) | 221.091 | + | 1253.87i | 0.0770096 | + | 0.436743i | ||||
\(203\) | 196.492 | + | 1114.36i | 0.0679361 | + | 0.385285i | ||||
\(204\) | 1155.14 | − | 1021.05i | 0.396451 | − | 0.350432i | ||||
\(205\) | 5395.57 | + | 4527.42i | 1.83826 | + | 1.54248i | ||||
\(206\) | −3345.94 | − | 5795.34i | −1.13166 | − | 1.96010i | ||||
\(207\) | 576.155 | − | 536.304i | 0.193457 | − | 0.180076i | ||||
\(208\) | 2896.95 | − | 5017.67i | 0.965709 | − | 1.67266i | ||||
\(209\) | 782.781 | − | 284.909i | 0.259072 | − | 0.0942946i | ||||
\(210\) | 340.751 | − | 2273.02i | 0.111972 | − | 0.746920i | ||||
\(211\) | 3083.97 | − | 2587.76i | 1.00620 | − | 0.844306i | 0.0183727 | − | 0.999831i | \(-0.494151\pi\) |
0.987832 | + | 0.155525i | \(0.0497070\pi\) | |||||||
\(212\) | 8825.71 | + | 3212.30i | 2.85921 | + | 1.04067i | ||||
\(213\) | −1032.26 | + | 1899.15i | −0.332063 | + | 0.610928i | ||||
\(214\) | −1557.25 | + | 8831.59i | −0.497436 | + | 2.82110i | ||||
\(215\) | −258.820 | −0.0820993 | ||||||||
\(216\) | −2860.12 | + | 5975.58i | −0.900957 | + | 1.88235i | ||||
\(217\) | −218.334 | −0.0683019 | ||||||||
\(218\) | −1486.09 | + | 8428.05i | −0.461701 | + | 2.61844i | ||||
\(219\) | 3058.87 | − | 78.7206i | 0.943831 | − | 0.0242897i | ||||
\(220\) | −10033.3 | − | 3651.81i | −3.07474 | − | 1.11911i | ||||
\(221\) | 766.640 | − | 643.288i | 0.233348 | − | 0.195802i | ||||
\(222\) | 5912.35 | + | 4707.24i | 1.78744 | + | 1.42311i | ||||
\(223\) | −4319.78 | + | 1572.27i | −1.29719 | + | 0.472140i | −0.896082 | − | 0.443889i | \(-0.853598\pi\) |
−0.401112 | + | 0.916029i | \(0.631376\pi\) | |||||||
\(224\) | 338.976 | − | 587.124i | 0.101111 | − | 0.175129i | ||||
\(225\) | 2534.95 | + | 1913.80i | 0.751096 | + | 0.567053i | ||||
\(226\) | −1382.37 | − | 2394.34i | −0.406876 | − | 0.704731i | ||||
\(227\) | −114.884 | − | 96.3994i | −0.0335909 | − | 0.0281861i | 0.625838 | − | 0.779953i | \(-0.284757\pi\) |
−0.659429 | + | 0.751767i | \(0.729202\pi\) | |||||||
\(228\) | −1807.42 | − | 605.659i | −0.524996 | − | 0.175924i | ||||
\(229\) | −898.844 | − | 5097.60i | −0.259377 | − | 1.47100i | −0.784583 | − | 0.620023i | \(-0.787123\pi\) |
0.525207 | − | 0.850975i | \(-0.323988\pi\) | |||||||
\(230\) | −397.219 | − | 2252.74i | −0.113878 | − | 0.645832i | ||||
\(231\) | −229.889 | − | 1132.55i | −0.0654787 | − | 0.322581i | ||||
\(232\) | −7260.80 | − | 6092.53i | −2.05472 | − | 1.72411i | ||||
\(233\) | −247.239 | − | 428.230i | −0.0695157 | − | 0.120405i | 0.829173 | − | 0.558993i | \(-0.188812\pi\) |
−0.898688 | + | 0.438588i | \(0.855479\pi\) | |||||||
\(234\) | −3624.86 | + | 7098.37i | −1.01267 | + | 1.98305i | ||||
\(235\) | −840.682 | + | 1456.10i | −0.233362 | + | 0.404195i | ||||
\(236\) | −2658.89 | + | 967.757i | −0.733386 | + | 0.266931i | ||||
\(237\) | 2276.81 | − | 895.675i | 0.624028 | − | 0.245487i | ||||
\(238\) | 371.484 | − | 311.712i | 0.101175 | − | 0.0848963i | ||||
\(239\) | −5424.09 | − | 1974.21i | −1.46801 | − | 0.534314i | −0.520454 | − | 0.853890i | \(-0.674237\pi\) |
−0.947561 | + | 0.319576i | \(0.896459\pi\) | |||||||
\(240\) | 4178.13 | + | 6824.98i | 1.12374 | + | 1.83563i | ||||
\(241\) | 1063.43 | − | 6031.02i | 0.284239 | − | 1.61200i | −0.423752 | − | 0.905778i | \(-0.639287\pi\) |
0.707991 | − | 0.706221i | \(-0.249602\pi\) | |||||||
\(242\) | −1135.82 | −0.301709 | ||||||||
\(243\) | 1457.48 | − | 3496.38i | 0.384763 | − | 0.923015i | ||||
\(244\) | 7875.50 | 2.06630 | ||||||||
\(245\) | −841.820 | + | 4774.20i | −0.219518 | + | 1.24495i | ||||
\(246\) | −6179.40 | − | 10094.1i | −1.60156 | − | 2.61616i | ||||
\(247\) | −1162.75 | − | 423.206i | −0.299530 | − | 0.109020i | ||||
\(248\) | 1400.98 | − | 1175.56i | 0.358719 | − | 0.301001i | ||||
\(249\) | 1222.32 | − | 480.847i | 0.311089 | − | 0.122379i | ||||
\(250\) | −542.733 | + | 197.539i | −0.137302 | + | 0.0499738i | ||||
\(251\) | 1154.86 | − | 2000.27i | 0.290414 | − | 0.503011i | −0.683494 | − | 0.729956i | \(-0.739540\pi\) |
0.973908 | + | 0.226945i | \(0.0728737\pi\) | |||||||
\(252\) | −1202.68 | + | 2355.15i | −0.300643 | + | 0.588733i | ||||
\(253\) | −575.077 | − | 996.063i | −0.142904 | − | 0.247518i | ||||
\(254\) | −1717.89 | − | 1441.48i | −0.424369 | − | 0.356088i | ||||
\(255\) | 274.964 | + | 1354.61i | 0.0675251 | + | 0.332663i | ||||
\(256\) | −1400.15 | − | 7940.62i | −0.341832 | − | 1.93863i | ||||
\(257\) | 94.4655 | + | 535.740i | 0.0229284 | + | 0.130033i | 0.994123 | − | 0.108253i | \(-0.0345256\pi\) |
−0.971195 | + | 0.238286i | \(0.923414\pi\) | |||||||
\(258\) | 412.368 | + | 138.183i | 0.0995075 | + | 0.0333446i | ||||
\(259\) | 1246.86 | + | 1046.24i | 0.299136 | + | 0.251005i | ||||
\(260\) | 7929.97 | + | 13735.1i | 1.89152 | + | 3.27621i | ||||
\(261\) | 4325.35 | + | 3265.49i | 1.02579 | + | 0.774441i | ||||
\(262\) | −4767.04 | + | 8256.75i | −1.12408 | + | 1.94696i | ||||
\(263\) | −3598.48 | + | 1309.74i | −0.843695 | + | 0.307080i | −0.727467 | − | 0.686143i | \(-0.759303\pi\) |
−0.116228 | + | 0.993223i | \(0.537080\pi\) | |||||||
\(264\) | 7573.03 | + | 6029.43i | 1.76548 | + | 1.40563i | ||||
\(265\) | −6450.52 | + | 5412.63i | −1.49529 | + | 1.25470i | ||||
\(266\) | −563.423 | − | 205.069i | −0.129871 | − | 0.0472692i | ||||
\(267\) | −4866.02 | + | 125.228i | −1.11534 | + | 0.0287035i | ||||
\(268\) | 938.081 | − | 5320.12i | 0.213815 | − | 1.21261i | ||||
\(269\) | 3865.59 | 0.876169 | 0.438084 | − | 0.898934i | \(-0.355657\pi\) | ||||
0.438084 | + | 0.898934i | \(0.355657\pi\) | |||||||
\(270\) | −6222.93 | − | 9080.68i | −1.40265 | − | 2.04679i | ||||
\(271\) | −46.0285 | −0.0103175 | −0.00515873 | − | 0.999987i | \(-0.501642\pi\) | ||||
−0.00515873 | + | 0.999987i | \(0.501642\pi\) | |||||||
\(272\) | −293.186 | + | 1662.74i | −0.0653568 | + | 0.370657i | ||||
\(273\) | −819.772 | + | 1508.21i | −0.181739 | + | 0.334363i | ||||
\(274\) | 9028.58 | + | 3286.13i | 1.99064 | + | 0.724535i | ||||
\(275\) | 3555.32 | − | 2983.27i | 0.779613 | − | 0.654173i | ||||
\(276\) | −390.191 | + | 2602.81i | −0.0850970 | + | 0.567648i | ||||
\(277\) | 6335.30 | − | 2305.86i | 1.37419 | − | 0.500165i | 0.453780 | − | 0.891114i | \(-0.350075\pi\) |
0.920412 | + | 0.390949i | \(0.127853\pi\) | |||||||
\(278\) | 7710.28 | − | 13354.6i | 1.66342 | − | 2.88113i | ||||
\(279\) | −765.433 | + | 712.490i | −0.164248 | + | 0.152888i | ||||
\(280\) | 2073.23 | + | 3590.94i | 0.442498 | + | 0.766429i | ||||
\(281\) | −3634.72 | − | 3049.89i | −0.771634 | − | 0.647477i | 0.169493 | − | 0.985531i | \(-0.445787\pi\) |
−0.941127 | + | 0.338054i | \(0.890231\pi\) | |||||||
\(282\) | 2116.84 | − | 1871.12i | 0.447007 | − | 0.395120i | ||||
\(283\) | 623.179 | + | 3534.22i | 0.130898 | + | 0.742360i | 0.977629 | + | 0.210338i | \(0.0674564\pi\) |
−0.846731 | + | 0.532022i | \(0.821432\pi\) | |||||||
\(284\) | −1255.04 | − | 7117.71i | −0.262230 | − | 1.48718i | ||||
\(285\) | 1280.48 | − | 1131.85i | 0.266138 | − | 0.235245i | ||||
\(286\) | 8921.53 | + | 7486.05i | 1.84455 | + | 1.54776i | ||||
\(287\) | −1274.51 | − | 2207.52i | −0.262133 | − | 0.454027i | ||||
\(288\) | −727.582 | − | 3164.51i | −0.148865 | − | 0.647467i | ||||
\(289\) | 2310.68 | − | 4002.22i | 0.470320 | − | 0.814618i | ||||
\(290\) | 14800.1 | − | 5386.81i | 2.99687 | − | 1.09077i | ||||
\(291\) | −248.938 | + | 1660.57i | −0.0501478 | + | 0.334516i | ||||
\(292\) | −7837.53 | + | 6576.47i | −1.57074 | + | 1.31801i | ||||
\(293\) | −6306.78 | − | 2295.48i | −1.25749 | − | 0.457691i | −0.374567 | − | 0.927200i | \(-0.622209\pi\) |
−0.882928 | + | 0.469509i | \(0.844431\pi\) | |||||||
\(294\) | 3890.18 | − | 7157.12i | 0.771700 | − | 1.41977i | ||||
\(295\) | 440.517 | − | 2498.29i | 0.0869419 | − | 0.493072i | ||||
\(296\) | −13633.9 | −2.67721 | ||||||||
\(297\) | −4501.79 | − | 3220.28i | −0.879529 | − | 0.629157i | ||||
\(298\) | −5569.82 | −1.08272 | ||||||||
\(299\) | −296.669 | + | 1682.49i | −0.0573806 | + | 0.325421i | ||||
\(300\) | −10616.8 | + | 273.226i | −2.04320 | + | 0.0525823i | ||||
\(301\) | 88.0184 | + | 32.0361i | 0.0168548 | + | 0.00613464i | ||||
\(302\) | −10662.7 | + | 8947.05i | −2.03168 | + | 1.70478i | ||||
\(303\) | 1027.49 | + | 818.056i | 0.194811 | + | 0.155103i | ||||
\(304\) | 1961.65 | − | 713.982i | 0.370093 | − | 0.134703i | ||||
\(305\) | −3530.41 | + | 6114.85i | −0.662789 | + | 1.14798i | ||||
\(306\) | 285.133 | − | 2305.06i | 0.0532680 | − | 0.430626i | ||||
\(307\) | −572.149 | − | 990.992i | −0.106366 | − | 0.184231i | 0.807930 | − | 0.589279i | \(-0.200588\pi\) |
−0.914295 | + | 0.405048i | \(0.867255\pi\) | |||||||
\(308\) | 2960.06 | + | 2483.78i | 0.547614 | + | 0.459502i | ||||
\(309\) | −6545.24 | − | 2193.28i | −1.20500 | − | 0.403791i | ||||
\(310\) | 527.713 | + | 2992.81i | 0.0966842 | + | 0.548323i | ||||
\(311\) | 1566.20 | + | 8882.39i | 0.285567 | + | 1.61953i | 0.703253 | + | 0.710939i | \(0.251730\pi\) |
−0.417686 | + | 0.908591i | \(0.637159\pi\) | |||||||
\(312\) | −2860.35 | − | 14091.6i | −0.519024 | − | 2.55698i | ||||
\(313\) | −892.475 | − | 748.876i | −0.161168 | − | 0.135236i | 0.558637 | − | 0.829412i | \(-0.311325\pi\) |
−0.719805 | + | 0.694176i | \(0.755769\pi\) | |||||||
\(314\) | 2773.91 | + | 4804.56i | 0.498538 | + | 0.863493i | ||||
\(315\) | −1289.50 | − | 1989.57i | −0.230651 | − | 0.355872i | ||||
\(316\) | −4090.38 | + | 7084.74i | −0.728170 | + | 1.26123i | ||||
\(317\) | −26.5651 | + | 9.66891i | −0.00470677 | + | 0.00171312i | −0.344372 | − | 0.938833i | \(-0.611908\pi\) |
0.339666 | + | 0.940546i | \(0.389686\pi\) | |||||||
\(318\) | 13167.2 | − | 5179.84i | 2.32195 | − | 0.913431i | ||||
\(319\) | 6066.38 | − | 5090.30i | 1.06474 | − | 0.893423i | ||||
\(320\) | 2710.09 | + | 986.393i | 0.473433 | + | 0.172316i | ||||
\(321\) | 4829.92 | + | 7889.68i | 0.839812 | + | 1.37183i | ||||
\(322\) | −143.754 | + | 815.271i | −0.0248792 | + | 0.141097i | ||||
\(323\) | 360.581 | 0.0621153 | ||||||||
\(324\) | 3469.21 | + | 12181.4i | 0.594858 | + | 2.08871i | ||||
\(325\) | −6893.97 | −1.17664 | ||||||||
\(326\) | 2802.74 | − | 15895.1i | 0.476164 | − | 2.70046i | ||||
\(327\) | 4609.22 | + | 7529.17i | 0.779481 | + | 1.27329i | ||||
\(328\) | 20063.9 | + | 7302.67i | 3.37757 | + | 1.22934i | ||||
\(329\) | 466.129 | − | 391.129i | 0.0781110 | − | 0.0655429i | ||||
\(330\) | −14968.7 | + | 5888.56i | −2.49698 | + | 0.982286i | ||||
\(331\) | −10173.1 | + | 3702.70i | −1.68932 | + | 0.614861i | −0.994539 | − | 0.104364i | \(-0.966719\pi\) |
−0.694777 | + | 0.719225i | \(0.744497\pi\) | |||||||
\(332\) | −2195.94 | + | 3803.47i | −0.363005 | + | 0.628743i | ||||
\(333\) | 7785.42 | − | 400.985i | 1.28120 | − | 0.0659875i | ||||
\(334\) | −2942.38 | − | 5096.35i | −0.482035 | − | 0.834909i | ||||
\(335\) | 3710.24 | + | 3113.26i | 0.605110 | + | 0.507747i | ||||
\(336\) | −576.101 | − | 2838.17i | −0.0935384 | − | 0.460818i | ||||
\(337\) | −917.031 | − | 5200.74i | −0.148231 | − | 0.840660i | −0.964716 | − | 0.263293i | \(-0.915191\pi\) |
0.816485 | − | 0.577367i | \(-0.195920\pi\) | |||||||
\(338\) | −1082.26 | − | 6137.81i | −0.174164 | − | 0.987731i | ||||
\(339\) | −2704.16 | − | 906.154i | −0.433244 | − | 0.145179i | ||||
\(340\) | −3540.44 | − | 2970.79i | −0.564728 | − | 0.473863i | ||||
\(341\) | 764.001 | + | 1323.29i | 0.121328 | + | 0.210147i | ||||
\(342\) | −2644.44 | + | 1119.69i | −0.418114 | + | 0.177034i | ||||
\(343\) | 1844.02 | − | 3193.93i | 0.290285 | − | 0.502788i | ||||
\(344\) | −737.275 | + | 268.346i | −0.115556 | + | 0.0420589i | ||||
\(345\) | −1846.01 | − | 1469.74i | −0.288076 | − | 0.229358i | ||||
\(346\) | −5407.65 | + | 4537.55i | −0.840222 | + | 0.705030i | ||||
\(347\) | 9341.66 | + | 3400.09i | 1.44521 | + | 0.526012i | 0.941248 | − | 0.337716i | \(-0.109654\pi\) |
0.503958 | + | 0.863728i | \(0.331876\pi\) | |||||||
\(348\) | −18115.3 | + | 466.201i | −2.79046 | + | 0.0718132i | ||||
\(349\) | 132.239 | − | 749.966i | 0.0202825 | − | 0.115028i | −0.972986 | − | 0.230866i | \(-0.925844\pi\) |
0.993268 | + | 0.115838i | \(0.0369553\pi\) | |||||||
\(350\) | −3340.55 | −0.510172 | ||||||||
\(351\) | 2047.80 | + | 7962.62i | 0.311406 | + | 1.21086i | ||||
\(352\) | −4744.61 | −0.718434 | ||||||||
\(353\) | 597.423 | − | 3388.15i | 0.0900782 | − | 0.510859i | −0.906067 | − | 0.423135i | \(-0.860930\pi\) |
0.996145 | − | 0.0877239i | \(-0.0279593\pi\) | |||||||
\(354\) | −2035.69 | + | 3745.25i | −0.305638 | + | 0.562311i | ||||
\(355\) | 6089.08 | + | 2216.25i | 0.910352 | + | 0.331341i | ||||
\(356\) | 12467.9 | − | 10461.8i | 1.85617 | − | 1.55751i | ||||
\(357\) | 74.1620 | − | 494.706i | 0.0109946 | − | 0.0733406i | ||||
\(358\) | −6818.02 | + | 2481.56i | −1.00655 | + | 0.366353i | ||||
\(359\) | 38.5343 | − | 66.7434i | 0.00566508 | − | 0.00981220i | −0.863179 | − | 0.504898i | \(-0.831530\pi\) |
0.868844 | + | 0.495086i | \(0.164863\pi\) | |||||||
\(360\) | 18986.6 | + | 5823.50i | 2.77967 | + | 0.852570i | ||||
\(361\) | 3206.59 | + | 5553.97i | 0.467501 | + | 0.809735i | ||||
\(362\) | 3458.30 | + | 2901.85i | 0.502110 | + | 0.421321i | ||||
\(363\) | −877.862 | + | 775.962i | −0.126931 | + | 0.112197i | ||||
\(364\) | −996.694 | − | 5652.53i | −0.143519 | − | 0.813937i | ||||
\(365\) | −1592.84 | − | 9033.46i | −0.228420 | − | 1.29543i | ||||
\(366\) | 8889.58 | − | 7857.70i | 1.26958 | − | 1.12221i | ||||
\(367\) | −9134.94 | − | 7665.13i | −1.29929 | − | 1.09024i | −0.990267 | − | 0.139181i | \(-0.955553\pi\) |
−0.309025 | − | 0.951054i | \(-0.600003\pi\) | |||||||
\(368\) | −1441.14 | − | 2496.13i | −0.204144 | − | 0.353587i | ||||
\(369\) | −11671.9 | − | 3579.97i | −1.64666 | − | 0.505057i | ||||
\(370\) | 11327.6 | − | 19620.1i | 1.59161 | − | 2.75675i | ||||
\(371\) | 2863.63 | − | 1042.28i | 0.400734 | − | 0.145855i | ||||
\(372\) | 518.377 | − | 3457.89i | 0.0722489 | − | 0.481944i | ||||
\(373\) | −2305.55 | + | 1934.59i | −0.320045 | + | 0.268550i | −0.788629 | − | 0.614869i | \(-0.789209\pi\) |
0.468584 | + | 0.883419i | \(0.344764\pi\) | |||||||
\(374\) | −3189.14 | − | 1160.75i | −0.440927 | − | 0.160484i | ||||
\(375\) | −284.518 | + | 523.455i | −0.0391799 | + | 0.0720829i | ||||
\(376\) | −885.071 | + | 5019.49i | −0.121394 | + | 0.688459i | ||||
\(377\) | −11763.1 | −1.60697 | ||||||||
\(378\) | 992.285 | + | 3858.38i | 0.135020 | + | 0.525010i | ||||
\(379\) | 5072.56 | 0.687493 | 0.343747 | − | 0.939062i | \(-0.388304\pi\) | ||||
0.343747 | + | 0.939062i | \(0.388304\pi\) | |||||||
\(380\) | −992.285 | + | 5627.53i | −0.133956 | + | 0.759700i | ||||
\(381\) | −2312.51 | + | 59.5129i | −0.310953 | + | 0.00800246i | ||||
\(382\) | −2809.20 | − | 1022.47i | −0.376260 | − | 0.136947i | ||||
\(383\) | 9044.81 | − | 7589.50i | 1.20671 | − | 1.01255i | 0.207293 | − | 0.978279i | \(-0.433535\pi\) |
0.999413 | − | 0.0342669i | \(-0.0109096\pi\) | |||||||
\(384\) | −7702.27 | − | 6132.33i | −1.02358 | − | 0.814946i | ||||
\(385\) | −3255.44 | + | 1184.88i | −0.430941 | + | 0.156850i | ||||
\(386\) | −3587.04 | + | 6212.94i | −0.472994 | + | 0.819249i | ||||
\(387\) | 413.116 | − | 174.918i | 0.0542633 | − | 0.0229757i | ||||
\(388\) | −2807.20 | − | 4862.22i | −0.367304 | − | 0.636190i | ||||
\(389\) | 7548.43 | + | 6333.88i | 0.983857 | + | 0.825554i | 0.984667 | − | 0.174445i | \(-0.0558132\pi\) |
−0.000809477 | 1.00000i | \(0.500258\pi\) | ||||||||
\(390\) | 22655.1 | + | 7591.65i | 2.94151 | + | 0.985688i | ||||
\(391\) | −86.4519 | − | 490.293i | −0.0111817 | − | 0.0634148i | ||||
\(392\) | 2551.91 | + | 14472.6i | 0.328804 | + | 1.86474i | ||||
\(393\) | 1956.40 | + | 9638.23i | 0.251113 | + | 1.23711i | ||||
\(394\) | 2970.90 | + | 2492.88i | 0.379877 | + | 0.318755i | ||||
\(395\) | −3667.25 | − | 6351.86i | −0.467138 | − | 0.809106i | ||||
\(396\) | 18482.6 | − | 951.941i | 2.34542 | − | 0.120800i | ||||
\(397\) | −2489.64 | + | 4312.18i | −0.314739 | + | 0.545144i | −0.979382 | − | 0.202017i | \(-0.935250\pi\) |
0.664643 | + | 0.747161i | \(0.268584\pi\) | |||||||
\(398\) | −21507.8 | + | 7828.19i | −2.70876 | + | 0.985909i | ||||
\(399\) | −575.559 | + | 226.419i | −0.0722155 | + | 0.0284089i | ||||
\(400\) | 8909.63 | − | 7476.07i | 1.11370 | − | 0.934508i | ||||
\(401\) | 3818.92 | + | 1389.97i | 0.475580 | + | 0.173097i | 0.568678 | − | 0.822560i | \(-0.307455\pi\) |
−0.0930985 | + | 0.995657i | \(0.529677\pi\) | |||||||
\(402\) | −4249.23 | − | 6941.13i | −0.527195 | − | 0.861174i | ||||
\(403\) | 394.130 | − | 2235.22i | 0.0487171 | − | 0.276289i | ||||
\(404\) | −4391.46 | −0.540801 | ||||||||
\(405\) | −11013.3 | − | 2767.00i | −1.35124 | − | 0.339490i | ||||
\(406\) | −5699.93 | −0.696756 | ||||||||
\(407\) | 1978.04 | − | 11218.0i | 0.240904 | − | 1.36624i | ||||
\(408\) | 2187.73 | + | 3573.67i | 0.265463 | + | 0.433635i | ||||
\(409\) | 2611.57 | + | 950.534i | 0.315731 | + | 0.114917i | 0.495025 | − | 0.868879i | \(-0.335159\pi\) |
−0.179294 | + | 0.983796i | \(0.557381\pi\) | |||||||
\(410\) | −27179.0 | + | 22805.9i | −3.27384 | + | 2.74708i | ||||
\(411\) | 9223.05 | − | 3628.26i | 1.10691 | − | 0.435447i | ||||
\(412\) | 21689.1 | − | 7894.18i | 2.59356 | − | 0.943977i | ||||
\(413\) | −459.042 | + | 795.084i | −0.0546924 | + | 0.0947301i | ||||
\(414\) | 2156.50 | + | 3327.27i | 0.256005 | + | 0.394992i | ||||
\(415\) | −1968.78 | − | 3410.02i | −0.232876 | − | 0.403353i | ||||
\(416\) | 5398.83 | + | 4530.16i | 0.636297 | + | 0.533917i | ||||
\(417\) | −3164.31 | − | 15589.0i | −0.371599 | − | 1.83069i | ||||
\(418\) | 728.653 | + | 4132.39i | 0.0852621 | + | 0.483545i | ||||
\(419\) | 1910.84 | + | 10836.9i | 0.222794 | + | 1.26353i | 0.866858 | + | 0.498555i | \(0.166136\pi\) |
−0.644064 | + | 0.764971i | \(0.722753\pi\) | |||||||
\(420\) | 7516.70 | + | 2518.82i | 0.873280 | + | 0.292633i | ||||
\(421\) | 680.336 | + | 570.869i | 0.0787590 | + | 0.0660866i | 0.681317 | − | 0.731988i | \(-0.261407\pi\) |
−0.602558 | + | 0.798075i | \(0.705852\pi\) | |||||||
\(422\) | 10139.6 | + | 17562.3i | 1.16964 | + | 2.02588i | ||||
\(423\) | 357.778 | − | 2892.33i | 0.0411247 | − | 0.332458i | ||||
\(424\) | −12763.1 | + | 22106.4i | −1.46187 | + | 2.53203i | ||||
\(425\) | 1887.81 | − | 687.106i | 0.215464 | − | 0.0784225i | ||||
\(426\) | −8518.28 | − | 6782.01i | −0.968807 | − | 0.771337i | ||||
\(427\) | 1957.49 | − | 1642.53i | 0.221849 | − | 0.186153i | ||||
\(428\) | −29065.7 | − | 10579.1i | −3.28258 | − | 1.19476i | ||||
\(429\) | 12009.6 | − | 309.070i | 1.35158 | − | 0.0347833i | ||||
\(430\) | 226.393 | − | 1283.94i | 0.0253899 | − | 0.143993i | ||||
\(431\) | −6010.51 | −0.671731 | −0.335866 | − | 0.941910i | \(-0.609029\pi\) | ||||
−0.335866 | + | 0.941910i | \(0.609029\pi\) | |||||||
\(432\) | −11281.5 | − | 8070.02i | −1.25644 | − | 0.898771i | ||||
\(433\) | 7426.23 | 0.824207 | 0.412104 | − | 0.911137i | \(-0.364794\pi\) | ||||
0.412104 | + | 0.911137i | \(0.364794\pi\) | |||||||
\(434\) | 190.980 | − | 1083.10i | 0.0211229 | − | 0.119794i | ||||
\(435\) | 7758.70 | − | 14274.4i | 0.855175 | − | 1.57335i | ||||
\(436\) | −27737.6 | − | 10095.7i | −3.04677 | − | 1.10893i | ||||
\(437\) | −471.542 | + | 395.671i | −0.0516176 | + | 0.0433123i | ||||
\(438\) | −2285.12 | + | 15243.1i | −0.249286 | + | 1.66289i | ||||
\(439\) | 9868.78 | − | 3591.94i | 1.07292 | − | 0.390510i | 0.255651 | − | 0.966769i | \(-0.417710\pi\) |
0.817267 | + | 0.576259i | \(0.195488\pi\) | |||||||
\(440\) | 14509.4 | − | 25131.0i | 1.57207 | − | 2.72290i | ||||
\(441\) | −1882.88 | − | 8189.30i | −0.203313 | − | 0.884278i | ||||
\(442\) | 2520.60 | + | 4365.80i | 0.271250 | + | 0.469819i | ||||
\(443\) | −7197.04 | − | 6039.03i | −0.771877 | − | 0.647682i | 0.169312 | − | 0.985563i | \(-0.445846\pi\) |
−0.941189 | + | 0.337881i | \(0.890290\pi\) | |||||||
\(444\) | −19530.3 | + | 17263.2i | −2.08753 | + | 1.84522i | ||||
\(445\) | 2533.88 | + | 14370.4i | 0.269927 | + | 1.53083i | ||||
\(446\) | −4021.07 | − | 22804.6i | −0.426913 | − | 2.42115i | ||||
\(447\) | −4304.83 | + | 3805.14i | −0.455507 | + | 0.402633i | ||||
\(448\) | −799.544 | − | 670.897i | −0.0843190 | − | 0.0707520i | ||||
\(449\) | 4004.86 | + | 6936.62i | 0.420937 | + | 0.729085i | 0.996031 | − | 0.0890023i | \(-0.0283679\pi\) |
−0.575094 | + | 0.818087i | \(0.695035\pi\) | |||||||
\(450\) | −11711.3 | + | 10901.2i | −1.22683 | + | 1.14197i | ||||
\(451\) | −8919.60 | + | 15449.2i | −0.931281 | + | 1.61303i | ||||
\(452\) | 8960.84 | − | 3261.48i | 0.932483 | − | 0.339396i | ||||
\(453\) | −2128.67 | + | 14199.5i | −0.220780 | + | 1.47274i | ||||
\(454\) | 578.704 | − | 485.590i | 0.0598236 | − | 0.0501980i | ||||
\(455\) | 4835.65 | + | 1760.03i | 0.498239 | + | 0.181344i | ||||
\(456\) | 2474.08 | − | 4551.80i | 0.254078 | − | 0.467451i | ||||
\(457\) | −618.137 | + | 3505.63i | −0.0632718 | + | 0.358832i | 0.936691 | + | 0.350158i | \(0.113872\pi\) |
−0.999962 | + | 0.00867400i | \(0.997239\pi\) | |||||||
\(458\) | 26074.1 | 2.66018 | ||||||||
\(459\) | −1354.37 | − | 1976.34i | −0.137727 | − | 0.200976i | ||||
\(460\) | 7889.83 | 0.799707 | ||||||||
\(461\) | −433.570 | + | 2458.90i | −0.0438034 | + | 0.248422i | −0.998845 | − | 0.0480506i | \(-0.984699\pi\) |
0.955041 | + | 0.296472i | \(0.0958102\pi\) | |||||||
\(462\) | 5819.38 | − | 149.763i | 0.586022 | − | 0.0150814i | ||||
\(463\) | 4975.36 | + | 1810.88i | 0.499405 | + | 0.181769i | 0.579426 | − | 0.815025i | \(-0.303277\pi\) |
−0.0800212 | + | 0.996793i | \(0.525499\pi\) | |||||||
\(464\) | 15202.4 | − | 12756.3i | 1.52102 | − | 1.27628i | ||||
\(465\) | 2452.46 | + | 1952.58i | 0.244581 | + | 0.194729i | ||||
\(466\) | 2340.61 | − | 851.911i | 0.232675 | − | 0.0846867i | ||||
\(467\) | 342.837 | − | 593.811i | 0.0339713 | − | 0.0588400i | −0.848540 | − | 0.529131i | \(-0.822518\pi\) |
0.882511 | + | 0.470291i | \(0.155851\pi\) | |||||||
\(468\) | −21940.1 | − | 16564.0i | −2.16705 | − | 1.63605i | ||||
\(469\) | −876.411 | − | 1517.99i | −0.0862876 | − | 0.149455i | ||||
\(470\) | −6488.01 | − | 5444.08i | −0.636744 | − | 0.534291i | ||||
\(471\) | 5426.25 | + | 1818.32i | 0.530846 | + | 0.177884i | ||||
\(472\) | −1335.39 | − | 7573.38i | −0.130225 | − | 0.738545i | ||||
\(473\) | −113.831 | − | 645.566i | −0.0110654 | − | 0.0627551i | ||||
\(474\) | 2451.66 | + | 12078.1i | 0.237571 | + | 1.17040i | ||||
\(475\) | −1902.78 | − | 1596.62i | −0.183801 | − | 0.154227i | ||||
\(476\) | 836.304 | + | 1448.52i | 0.0805293 | + | 0.139481i | ||||
\(477\) | 6638.01 | − | 12998.9i | 0.637177 | − | 1.24775i | ||||
\(478\) | 14538.1 | − | 25180.7i | 1.39112 | − | 2.40949i | ||||
\(479\) | −13552.8 | + | 4932.81i | −1.29278 | + | 0.470534i | −0.894639 | − | 0.446789i | \(-0.852567\pi\) |
−0.398143 | + | 0.917323i | \(0.630345\pi\) | |||||||
\(480\) | −9058.28 | + | 3563.44i | −0.861358 | + | 0.338850i | ||||
\(481\) | −12961.8 | + | 10876.2i | −1.22870 | + | 1.03101i | ||||
\(482\) | 28988.1 | + | 10550.8i | 2.73937 | + | 0.997047i | ||||
\(483\) | 445.864 | + | 728.320i | 0.0420031 | + | 0.0686122i | ||||
\(484\) | 680.281 | − | 3858.07i | 0.0638882 | − | 0.362328i | ||||
\(485\) | 5033.63 | 0.471268 | ||||||||
\(486\) | 16069.8 | + | 10288.5i | 1.49988 | + | 0.960281i | ||||
\(487\) | 9613.07 | 0.894476 | 0.447238 | − | 0.894415i | \(-0.352408\pi\) | ||||
0.447238 | + | 0.894415i | \(0.352408\pi\) | |||||||
\(488\) | −3716.82 | + | 21079.1i | −0.344780 | + | 1.95534i | ||||
\(489\) | −8692.89 | − | 14199.9i | −0.803898 | − | 1.31317i | ||||
\(490\) | −22947.3 | − | 8352.12i | −2.11561 | − | 0.770021i | ||||
\(491\) | 2330.71 | − | 1955.70i | 0.214223 | − | 0.179755i | −0.529361 | − | 0.848396i | \(-0.677568\pi\) |
0.743585 | + | 0.668642i | \(0.233124\pi\) | |||||||
\(492\) | 37987.7 | − | 14944.0i | 3.48093 | − | 1.36936i | ||||
\(493\) | 3221.14 | − | 1172.40i | 0.294265 | − | 0.107104i | ||||
\(494\) | 3116.49 | − | 5397.92i | 0.283841 | − | 0.491627i | ||||
\(495\) | −7546.23 | + | 14777.4i | −0.685208 | + | 1.34181i | ||||
\(496\) | 1914.59 | + | 3316.16i | 0.173322 | + | 0.300202i | ||||
\(497\) | −1796.43 | − | 1507.38i | −0.162135 | − | 0.136047i | ||||
\(498\) | 1316.18 | + | 6484.20i | 0.118433 | + | 0.583462i | ||||
\(499\) | 2243.24 | + | 12722.0i | 0.201244 | + | 1.14131i | 0.903241 | + | 0.429134i | \(0.141181\pi\) |
−0.701996 | + | 0.712180i | \(0.747708\pi\) | |||||||
\(500\) | −345.922 | − | 1961.82i | −0.0309402 | − | 0.175471i | ||||
\(501\) | −5755.80 | − | 1928.75i | −0.513274 | − | 0.171996i | ||||
\(502\) | 8912.66 | + | 7478.61i | 0.792413 | + | 0.664914i | ||||
\(503\) | −5416.54 | − | 9381.72i | −0.480142 | − | 0.831631i | 0.519598 | − | 0.854411i | \(-0.326082\pi\) |
−0.999741 | + | 0.0227800i | \(0.992748\pi\) | |||||||
\(504\) | −5736.08 | − | 4330.55i | −0.506955 | − | 0.382734i | ||||
\(505\) | 1968.60 | − | 3409.71i | 0.173468 | − | 0.300455i | ||||
\(506\) | 5444.24 | − | 1981.54i | 0.478313 | − | 0.174092i | ||||
\(507\) | −5029.64 | − | 4004.46i | −0.440580 | − | 0.350778i | ||||
\(508\) | 5925.18 | − | 4971.82i | 0.517495 | − | 0.434230i | ||||
\(509\) | −8799.04 | − | 3202.59i | −0.766229 | − | 0.278885i | −0.0708109 | − | 0.997490i | \(-0.522559\pi\) |
−0.695418 | + | 0.718605i | \(0.744781\pi\) | |||||||
\(510\) | −6960.40 | + | 179.128i | −0.604337 | + | 0.0155528i | ||||
\(511\) | −576.452 | + | 3269.22i | −0.0499036 | + | 0.283017i | ||||
\(512\) | 25458.3 | 2.19747 | ||||||||
\(513\) | −1278.91 | + | 2672.00i | −0.110069 | + | 0.229964i | ||||
\(514\) | −2740.30 | −0.235155 | ||||||||
\(515\) | −3593.38 | + | 20379.1i | −0.307463 | + | 1.74371i | ||||
\(516\) | −716.349 | + | 1317.94i | −0.0611153 | + | 0.112440i | ||||
\(517\) | −4001.65 | − | 1456.48i | −0.340411 | − | 0.123899i | ||||
\(518\) | −6280.79 | + | 5270.21i | −0.532745 | + | 0.447026i | ||||
\(519\) | −1079.57 | + | 7201.36i | −0.0913058 | + | 0.609065i | ||||
\(520\) | −40505.2 | + | 14742.7i | −3.41590 | + | 1.24329i | ||||
\(521\) | −2385.57 | + | 4131.92i | −0.200602 | + | 0.347453i | −0.948723 | − | 0.316110i | \(-0.897623\pi\) |
0.748121 | + | 0.663563i | \(0.230956\pi\) | |||||||
\(522\) | −19982.7 | + | 18600.6i | −1.67552 | + | 1.55963i | ||||
\(523\) | 5149.38 | + | 8918.99i | 0.430529 | + | 0.745698i | 0.996919 | − | 0.0784392i | \(-0.0249936\pi\) |
−0.566390 | + | 0.824137i | \(0.691660\pi\) | |||||||
\(524\) | −25190.7 | − | 21137.5i | −2.10012 | − | 1.76221i | ||||
\(525\) | −2581.87 | + | 2282.17i | −0.214632 | + | 0.189718i | ||||
\(526\) | −3349.65 | − | 18996.8i | −0.277665 | − | 1.57471i | ||||
\(527\) | 114.853 | + | 651.363i | 0.00949349 | + | 0.0538403i | ||||
\(528\) | −15185.8 | + | 13423.0i | −1.25166 | + | 1.10637i | ||||
\(529\) | −8669.40 | − | 7274.49i | −0.712534 | − | 0.597887i | ||||
\(530\) | −21208.3 | − | 36733.9i | −1.73817 | − | 3.01060i | ||||
\(531\) | 985.293 | + | 4285.38i | 0.0805237 | + | 0.350225i | ||||
\(532\) | 1034.01 | − | 1790.96i | 0.0842673 | − | 0.145955i | ||||
\(533\) | 24900.4 | − | 9063.01i | 2.02356 | − | 0.736515i | ||||
\(534\) | 3635.15 | − | 24248.6i | 0.294585 | − | 1.96506i | ||||
\(535\) | 21243.5 | − | 17825.4i | 1.71671 | − | 1.44049i | ||||
\(536\) | 13796.8 | + | 5021.64i | 1.11181 | + | 0.404667i | ||||
\(537\) | −3574.22 | + | 6575.84i | −0.287224 | + | 0.528433i | ||||
\(538\) | −3381.29 | + | 19176.2i | −0.270962 | + | 1.53670i | ||||
\(539\) | −12278.4 | −0.981201 | ||||||||
\(540\) | 34571.6 | − | 15698.8i | 2.75504 | − | 1.25105i | ||||
\(541\) | −11070.6 | −0.879783 | −0.439892 | − | 0.898051i | \(-0.644983\pi\) | ||||
−0.439892 | + | 0.898051i | \(0.644983\pi\) | |||||||
\(542\) | 40.2618 | − | 228.336i | 0.00319076 | − | 0.0180957i | ||||
\(543\) | 4655.33 | − | 119.806i | 0.367918 | − | 0.00946845i | ||||
\(544\) | −1929.90 | − | 702.425i | −0.152102 | − | 0.0553607i | ||||
\(545\) | 20272.8 | − | 17010.9i | 1.59338 | − | 1.33700i | ||||
\(546\) | −6764.79 | − | 5385.94i | −0.530232 | − | 0.422155i | ||||
\(547\) | −8326.61 | + | 3030.64i | −0.650860 | + | 0.236894i | −0.646285 | − | 0.763096i | \(-0.723678\pi\) |
−0.00457452 | + | 0.999990i | \(0.501456\pi\) | |||||||
\(548\) | −16569.6 | + | 28699.3i | −1.29164 | + | 2.23718i | ||||
\(549\) | 1502.47 | − | 12146.2i | 0.116802 | − | 0.944240i | ||||
\(550\) | 11689.3 | + | 20246.5i | 0.906246 | + | 1.56966i | ||||
\(551\) | −3246.68 | − | 2724.29i | −0.251022 | − | 0.210633i | ||||
\(552\) | −6782.40 | − | 2272.76i | −0.522968 | − | 0.175245i | ||||
\(553\) | 460.926 | + | 2614.04i | 0.0354441 | + | 0.201013i | ||||
\(554\) | 5897.22 | + | 33444.8i | 0.452254 | + | 2.56486i | ||||
\(555\) | −4648.89 | − | 22902.8i | −0.355557 | − | 1.75166i | ||||
\(556\) | 40743.8 | + | 34188.1i | 3.10777 | + | 2.60773i | ||||
\(557\) | 2971.99 | + | 5147.64i | 0.226081 | + | 0.391584i | 0.956643 | − | 0.291262i | \(-0.0940752\pi\) |
−0.730562 | + | 0.682846i | \(0.760742\pi\) | |||||||
\(558\) | −2864.95 | − | 4420.34i | −0.217353 | − | 0.335355i | ||||
\(559\) | −486.860 | + | 843.267i | −0.0368372 | + | 0.0638039i | ||||
\(560\) | −8158.13 | + | 2969.32i | −0.615614 | + | 0.224065i | ||||
\(561\) | −3257.84 | + | 1281.60i | −0.245180 | + | 0.0964514i | ||||
\(562\) | 18309.1 | − | 15363.1i | 1.37424 | − | 1.15312i | ||||
\(563\) | −14554.1 | − | 5297.24i | −1.08949 | − | 0.396540i | −0.266055 | − | 0.963958i | \(-0.585720\pi\) |
−0.823430 | + | 0.567417i | \(0.807943\pi\) | |||||||
\(564\) | 5087.82 | + | 8310.97i | 0.379851 | + | 0.620488i | ||||
\(565\) | −1484.60 | + | 8419.60i | −0.110545 | + | 0.626930i | ||||
\(566\) | −18077.5 | −1.34250 | ||||||||
\(567\) | 3402.86 | + | 2304.19i | 0.252040 | + | 0.170664i | ||||
\(568\) | 19643.2 | 1.45108 | ||||||||
\(569\) | 374.543 | − | 2124.14i | 0.0275952 | − | 0.156500i | −0.967896 | − | 0.251349i | \(-0.919126\pi\) |
0.995492 | + | 0.0948491i | \(0.0302369\pi\) | |||||||
\(570\) | 4494.76 | + | 7342.19i | 0.330289 | + | 0.539528i | ||||
\(571\) | −14760.6 | − | 5372.44i | −1.08181 | − | 0.393747i | −0.261229 | − | 0.965277i | \(-0.584128\pi\) |
−0.820581 | + | 0.571530i | \(0.806350\pi\) | |||||||
\(572\) | −30771.4 | + | 25820.3i | −2.24933 | + | 1.88741i | ||||
\(573\) | −2869.71 | + | 1128.92i | −0.209221 | + | 0.0823057i | ||||
\(574\) | 12065.8 | − | 4391.58i | 0.877379 | − | 0.319340i | ||||
\(575\) | −1714.77 | + | 2970.07i | −0.124367 | + | 0.215409i | ||||
\(576\) | −4992.36 | + | 257.130i | −0.361137 | + | 0.0186002i | ||||
\(577\) | −5989.26 | − | 10373.7i | −0.432125 | − | 0.748462i | 0.564931 | − | 0.825138i | \(-0.308903\pi\) |
−0.997056 | + | 0.0766759i | \(0.975569\pi\) | |||||||
\(578\) | 17832.8 | + | 14963.5i | 1.28330 | + | 1.07682i | ||||
\(579\) | 1472.13 | + | 7252.46i | 0.105664 | + | 0.520556i | ||||
\(580\) | 9433.16 | + | 53498.1i | 0.675329 | + | 3.82998i | ||||
\(581\) | 247.450 | + | 1403.36i | 0.0176695 | + | 0.100208i | ||||
\(582\) | −8019.90 | − | 2687.44i | −0.571195 | − | 0.191405i | ||||
\(583\) | −16337.5 | − | 13708.8i | −1.16060 | − | 0.973862i | ||||
\(584\) | −13903.3 | − | 24081.3i | −0.985144 | − | 1.70632i | ||||
\(585\) | 22696.2 | − | 9609.86i | 1.60406 | − | 0.679178i | ||||
\(586\) | 16903.9 | − | 29278.4i | 1.19163 | − | 2.06396i | ||||
\(587\) | −15576.6 | + | 5669.43i | −1.09526 | + | 0.398641i | −0.825566 | − | 0.564305i | \(-0.809144\pi\) |
−0.269692 | + | 0.962947i | \(0.586922\pi\) | |||||||
\(588\) | 21980.8 | + | 17500.4i | 1.54162 | + | 1.22739i | ||||
\(589\) | 626.452 | − | 525.656i | 0.0438243 | − | 0.0367729i | ||||
\(590\) | 12008.1 | + | 4370.58i | 0.837906 | + | 0.304973i | ||||
\(591\) | 3999.23 | − | 102.921i | 0.278352 | − | 0.00716347i | ||||
\(592\) | 4956.98 | − | 28112.4i | 0.344140 | − | 1.95171i | ||||
\(593\) | 17790.1 | 1.23196 | 0.615981 | − | 0.787761i | \(-0.288760\pi\) | ||||
0.615981 | + | 0.787761i | \(0.288760\pi\) | |||||||
\(594\) | 19912.8 | − | 19515.4i | 1.37547 | − | 1.34802i | ||||
\(595\) | −1499.59 | −0.103323 | ||||||||
\(596\) | 3335.95 | − | 18919.1i | 0.229271 | − | 1.30026i | ||||
\(597\) | −11275.1 | + | 20743.8i | −0.772961 | + | 1.42209i | ||||
\(598\) | −8086.92 | − | 2943.40i | −0.553008 | − | 0.201278i | ||||
\(599\) | −82.6583 | + | 69.3585i | −0.00563827 | + | 0.00473107i | −0.645602 | − | 0.763674i | \(-0.723394\pi\) |
0.639964 | + | 0.768405i | \(0.278949\pi\) | |||||||
\(600\) | 4279.27 | − | 28545.3i | 0.291167 | − | 1.94226i | ||||
\(601\) | 2041.21 | − | 742.939i | 0.138540 | − | 0.0504245i | −0.271820 | − | 0.962348i | \(-0.587625\pi\) |
0.410360 | + | 0.911924i | \(0.365403\pi\) | |||||||
\(602\) | −235.914 | + | 408.614i | −0.0159720 | + | 0.0276643i | ||||
\(603\) | −8026.15 | − | 2461.75i | −0.542040 | − | 0.166252i | ||||
\(604\) | −24004.3 | − | 41576.7i | −1.61709 | − | 2.80088i | ||||
\(605\) | 2690.60 | + | 2257.68i | 0.180808 | + | 0.151716i | ||||
\(606\) | −4956.93 | + | 4381.54i | −0.332280 | + | 0.293710i | ||||
\(607\) | −3759.63 | − | 21321.9i | −0.251398 | − | 1.42575i | −0.805152 | − | 0.593069i | \(-0.797916\pi\) |
0.553754 | − | 0.832680i | \(-0.313195\pi\) | |||||||
\(608\) | 440.941 | + | 2500.70i | 0.0294121 | + | 0.166804i | ||||
\(609\) | −4405.40 | + | 3894.03i | −0.293129 | + | 0.259104i | ||||
\(610\) | −27246.1 | − | 22862.2i | −1.80846 | − | 1.51748i | ||||
\(611\) | 3162.78 | + | 5478.09i | 0.209415 | + | 0.362717i | ||||
\(612\) | 7658.85 | + | 2349.09i | 0.505867 | + | 0.155158i | ||||
\(613\) | 1475.96 | − | 2556.44i | 0.0972490 | − | 0.168440i | −0.813296 | − | 0.581850i | \(-0.802329\pi\) |
0.910545 | + | 0.413410i | \(0.135662\pi\) | |||||||
\(614\) | 5416.53 | − | 1971.45i | 0.356015 | − | 0.129579i | ||||
\(615\) | −5425.93 | + | 36194.2i | −0.355764 | + | 2.37316i | ||||
\(616\) | −8044.96 | + | 6750.52i | −0.526202 | + | 0.441536i | ||||
\(617\) | 884.322 | + | 321.867i | 0.0577009 | + | 0.0210014i | 0.370709 | − | 0.928749i | \(-0.379115\pi\) |
−0.313008 | + | 0.949750i | \(0.601337\pi\) | |||||||
\(618\) | 16605.5 | − | 30550.8i | 1.08086 | − | 1.98856i | ||||
\(619\) | 2619.16 | − | 14854.0i | 0.170069 | − | 0.964511i | −0.773613 | − | 0.633658i | \(-0.781552\pi\) |
0.943682 | − | 0.330853i | \(-0.107336\pi\) | |||||||
\(620\) | −10481.8 | −0.678966 | ||||||||
\(621\) | 3939.82 | + | 1098.34i | 0.254589 | + | 0.0709743i | ||||
\(622\) | −45433.3 | −2.92879 | ||||||||
\(623\) | 917.016 | − | 5200.65i | 0.0589718 | − | 0.334446i | ||||
\(624\) | 30096.0 | − | 774.529i | 1.93078 | − | 0.0496890i | ||||
\(625\) | 15496.4 | + | 5640.23i | 0.991769 | + | 0.360974i | ||||
\(626\) | 4495.64 | − | 3772.29i | 0.287032 | − | 0.240848i | ||||
\(627\) | 3386.30 | + | 2696.07i | 0.215687 | + | 0.171724i | ||||
\(628\) | −17981.1 | + | 6544.58i | −1.14255 | + | 0.415855i | ||||
\(629\) | 2465.38 | − | 4270.16i | 0.156282 | − | 0.270688i | ||||
\(630\) | 10997.7 | − | 4656.57i | 0.695491 | − | 0.294480i | ||||
\(631\) | 1917.22 | + | 3320.72i | 0.120956 | + | 0.209502i | 0.920145 | − | 0.391578i | \(-0.128071\pi\) |
−0.799189 | + | 0.601080i | \(0.794737\pi\) | |||||||
\(632\) | −17032.2 | − | 14291.7i | −1.07200 | − | 0.899516i | ||||
\(633\) | 19834.9 | + | 6646.58i | 1.24544 | + | 0.417343i | ||||
\(634\) | −24.7282 | − | 140.240i | −0.00154902 | − | 0.00878495i | ||||
\(635\) | 1204.19 | + | 6829.31i | 0.0752549 | + | 0.426792i | ||||
\(636\) | 9708.19 | + | 47827.5i | 0.605275 | + | 2.98190i | ||||
\(637\) | 13971.4 | + | 11723.4i | 0.869023 | + | 0.729197i | ||||
\(638\) | 19945.3 | + | 34546.3i | 1.23769 | + | 2.14373i | ||||
\(639\) | −11216.9 | + | 577.724i | −0.694421 | + | 0.0357659i | ||||
\(640\) | −14757.0 | + | 25559.9i | −0.911441 | + | 1.57866i | ||||
\(641\) | 23949.5 | − | 8716.91i | 1.47574 | − | 0.537125i | 0.526087 | − | 0.850431i | \(-0.323659\pi\) |
0.949652 | + | 0.313306i | \(0.101437\pi\) | |||||||
\(642\) | −43363.5 | + | 17058.8i | −2.66576 | + | 1.04869i | ||||
\(643\) | −2158.26 | + | 1811.00i | −0.132369 | + | 0.111071i | −0.706569 | − | 0.707644i | \(-0.749758\pi\) |
0.574199 | + | 0.818716i | \(0.305313\pi\) | |||||||
\(644\) | −2683.14 | − | 976.584i | −0.164178 | − | 0.0597559i | ||||
\(645\) | −702.174 | − | 1147.00i | −0.0428652 | − | 0.0700205i | ||||
\(646\) | −315.405 | + | 1788.75i | −0.0192097 | + | 0.108943i | ||||
\(647\) | 4835.21 | 0.293805 | 0.146902 | − | 0.989151i | \(-0.453070\pi\) | ||||
0.146902 | + | 0.989151i | \(0.453070\pi\) | |||||||
\(648\) | −34241.3 | + | 3536.55i | −2.07581 | + | 0.214396i | ||||
\(649\) | 6425.16 | 0.388612 | ||||||||
\(650\) | 6030.25 | − | 34199.3i | 0.363886 | − | 2.06370i | ||||
\(651\) | −592.339 | − | 967.587i | −0.0356614 | − | 0.0582530i | ||||
\(652\) | 52312.5 | + | 19040.2i | 3.14220 | + | 1.14367i | ||||
\(653\) | −5275.81 | + | 4426.93i | −0.316169 | + | 0.265297i | −0.787036 | − | 0.616907i | \(-0.788386\pi\) |
0.470867 | + | 0.882204i | \(0.343941\pi\) | |||||||
\(654\) | −41382.1 | + | 16279.3i | −2.47426 | + | 0.973350i | ||||
\(655\) | 27704.4 | − | 10083.6i | 1.65267 | − | 0.601524i | ||||
\(656\) | −22352.5 | + | 38715.7i | −1.33037 | + | 2.30426i | ||||
\(657\) | 8647.52 | + | 13342.3i | 0.513504 | + | 0.792288i | ||||
\(658\) | 1532.56 | + | 2654.47i | 0.0907985 | + | 0.157268i | ||||
\(659\) | 17755.3 | + | 14898.5i | 1.04954 | + | 0.880670i | 0.993045 | − | 0.117733i | \(-0.0375627\pi\) |
0.0564962 | + | 0.998403i | \(0.482007\pi\) | |||||||
\(660\) | −11036.5 | − | 54371.4i | −0.650901 | − | 3.20667i | ||||
\(661\) | −922.380 | − | 5231.08i | −0.0542760 | − | 0.307814i | 0.945569 | − | 0.325422i | \(-0.105506\pi\) |
−0.999845 | + | 0.0176073i | \(0.994395\pi\) | |||||||
\(662\) | −9469.63 | − | 53704.9i | −0.555963 | − | 3.15302i | ||||
\(663\) | 4930.72 | + | 1652.27i | 0.288829 | + | 0.0967854i | ||||
\(664\) | −9143.81 | − | 7672.57i | −0.534411 | − | 0.448424i | ||||
\(665\) | 927.051 | + | 1605.70i | 0.0540594 | + | 0.0936336i | ||||
\(666\) | −4820.83 | + | 38972.3i | −0.280485 | + | 2.26748i | ||||
\(667\) | −2925.89 | + | 5067.78i | −0.169851 | + | 0.294191i | ||||
\(668\) | 19073.1 | − | 6942.05i | 1.10473 | − | 0.402090i | ||||
\(669\) | −18687.3 | − | 14878.3i | −1.07996 | − | 0.859833i | ||||
\(670\) | −18689.5 | + | 15682.3i | −1.07767 | + | 0.904271i | ||||
\(671\) | −16804.8 | − | 6116.44i | −0.966828 | − | 0.351896i | ||||
\(672\) | 3521.58 | − | 90.6286i | 0.202154 | − | 0.00520249i | ||||
\(673\) | −4766.72 | + | 27033.4i | −0.273022 | + | 1.54838i | 0.472154 | + | 0.881516i | \(0.343477\pi\) |
−0.745176 | + | 0.666868i | \(0.767635\pi\) | |||||||
\(674\) | 26601.7 | 1.52027 | ||||||||
\(675\) | −1604.06 | + | 16426.2i | −0.0914674 | + | 0.936658i | ||||
\(676\) | 21496.6 | 1.22307 | ||||||||
\(677\) | −1476.95 | + | 8376.18i | −0.0838459 | + | 0.475514i | 0.913754 | + | 0.406268i | \(0.133170\pi\) |
−0.997600 | + | 0.0692452i | \(0.977941\pi\) | |||||||
\(678\) | 6860.57 | − | 12622.0i | 0.388611 | − | 0.714965i | ||||
\(679\) | −1711.82 | − | 623.050i | −0.0967503 | − | 0.0352142i | ||||
\(680\) | 9622.36 | − | 8074.12i | 0.542648 | − | 0.455336i | ||||
\(681\) | 115.531 | − | 770.660i | 0.00650095 | − | 0.0433653i | ||||
\(682\) | −7232.78 | + | 2632.52i | −0.406096 | + | 0.147807i | ||||
\(683\) | 15369.6 | − | 26621.0i | 0.861059 | − | 1.49140i | −0.00984920 | − | 0.999951i | \(-0.503135\pi\) |
0.870908 | − | 0.491446i | \(-0.163532\pi\) | |||||||
\(684\) | −2219.42 | − | 9653.02i | −0.124067 | − | 0.539609i | ||||
\(685\) | −14855.5 | − | 25730.6i | −0.828615 | − | 1.43520i | ||||
\(686\) | 14231.3 | + | 11941.5i | 0.792061 | + | 0.664618i | ||||
\(687\) | 20152.3 | − | 17813.1i | 1.11915 | − | 0.989245i | ||||
\(688\) | −285.260 | − | 1617.79i | −0.0158073 | − | 0.0896477i | ||||
\(689\) | 5501.09 | + | 31198.2i | 0.304172 | + | 1.72505i | ||||
\(690\) | 8905.76 | − | 7872.00i | 0.491357 | − | 0.434322i | ||||
\(691\) | −7723.56 | − | 6480.84i | −0.425207 | − | 0.356791i | 0.404933 | − | 0.914347i | \(-0.367295\pi\) |
−0.830140 | + | 0.557555i | \(0.811739\pi\) | |||||||
\(692\) | −12174.0 | − | 21085.9i | −0.668764 | − | 1.15833i | ||||
\(693\) | 4395.40 | − | 4091.38i | 0.240934 | − | 0.224270i | ||||
\(694\) | −25038.3 | + | 43367.5i | −1.36951 | + | 2.37206i | ||||
\(695\) | −44809.6 | + | 16309.3i | −2.44565 | + | 0.890142i | ||||
\(696\) | 7301.65 | − | 48706.4i | 0.397656 | − | 2.65260i | ||||
\(697\) | −5915.31 | + | 4963.53i | −0.321461 | + | 0.269738i | ||||
\(698\) | 3604.72 | + | 1312.01i | 0.195474 | + | 0.0711466i | ||||
\(699\) | 1227.02 | − | 2257.47i | 0.0663951 | − | 0.122153i | ||||
\(700\) | 2000.77 | − | 11346.9i | 0.108031 | − | 0.612675i | ||||
\(701\) | −17040.1 | −0.918108 | −0.459054 | − | 0.888408i | \(-0.651812\pi\) | ||||
−0.459054 | + | 0.888408i | \(0.651812\pi\) | |||||||
\(702\) | −41291.8 | + | 3193.61i | −2.22003 | + | 0.171702i | ||||
\(703\) | −6096.43 | −0.327072 | ||||||||
\(704\) | −1268.41 | + | 7193.52i | −0.0679049 | + | 0.385108i | ||||
\(705\) | −8733.73 | + | 224.765i | −0.466569 | + | 0.0120073i | ||||
\(706\) | 16285.2 | + | 5927.33i | 0.868132 | + | 0.315974i | ||||
\(707\) | −1091.52 | + | 915.892i | −0.0580633 | + | 0.0487209i | ||||
\(708\) | −11502.3 | − | 9157.82i | −0.610570 | − | 0.486118i | ||||
\(709\) | 35055.7 | − | 12759.2i | 1.85690 | − | 0.675858i | 0.875710 | − | 0.482837i | \(-0.160394\pi\) |
0.981195 | − | 0.193021i | \(-0.0618287\pi\) | |||||||
\(710\) | −16320.4 | + | 28267.8i | −0.862669 | + | 1.49419i | ||||
\(711\) | 10146.3 | + | 7660.12i | 0.535184 | + | 0.404046i | ||||
\(712\) | 22117.3 | + | 38308.3i | 1.16416 | + | 2.01638i | ||||
\(713\) | −864.947 | − | 725.777i | −0.0454313 | − | 0.0381214i | ||||
\(714\) | 2389.24 | + | 800.625i | 0.125231 | + | 0.0419645i | ||||
\(715\) | −6253.75 | − | 35466.8i | −0.327101 | − | 1.85508i | ||||
\(716\) | −4345.61 | − | 24645.2i | −0.226820 | − | 1.28636i | ||||
\(717\) | −5966.45 | − | 29393.8i | −0.310769 | − | 1.53101i | ||||
\(718\) | 297.390 | + | 249.540i | 0.0154575 | + | 0.0129704i | ||||
\(719\) | −10784.5 | − | 18679.3i | −0.559380 | − | 0.968874i | −0.997548 | − | 0.0699815i | \(-0.977706\pi\) |
0.438168 | − | 0.898893i | \(-0.355627\pi\) | |||||||
\(720\) | −18910.9 | + | 37032.2i | −0.978842 | + | 1.91682i | ||||
\(721\) | 3744.49 | − | 6485.65i | 0.193415 | − | 0.335005i | ||||
\(722\) | −30356.7 | + | 11048.9i | −1.56476 | + | 0.569527i | ||||
\(723\) | 29612.5 | − | 11649.3i | 1.52324 | − | 0.599228i | ||||
\(724\) | −11928.1 | + | 10008.8i | −0.612296 | + | 0.513778i | ||||
\(725\) | −22189.2 | − | 8076.20i | −1.13667 | − | 0.413714i | ||||
\(726\) | −3081.47 | − | 5033.59i | −0.157526 | − | 0.257320i | ||||
\(727\) | −4038.36 | + | 22902.7i | −0.206017 | + | 1.16838i | 0.689813 | + | 0.723987i | \(0.257693\pi\) |
−0.895831 | + | 0.444395i | \(0.853419\pi\) | |||||||
\(728\) | 15599.7 | 0.794179 | ||||||||
\(729\) | 19448.9 | − | 3026.55i | 0.988107 | − | 0.153765i | ||||
\(730\) | 46206.0 | 2.34269 | ||||||||
\(731\) | 49.2728 | − | 279.440i | 0.00249305 | − | 0.0141388i | ||||
\(732\) | 21366.1 | + | 34901.6i | 1.07884 | + | 1.76230i | ||||
\(733\) | −17275.4 | − | 6287.72i | −0.870505 | − | 0.316838i | −0.132133 | − | 0.991232i | \(-0.542183\pi\) |
−0.738372 | + | 0.674394i | \(0.764405\pi\) | |||||||
\(734\) | 46015.2 | − | 38611.3i | 2.31397 | − | 1.94165i | ||||
\(735\) | −23441.5 | + | 9221.67i | −1.17640 | + | 0.462784i | ||||
\(736\) | 3294.56 | − | 1199.12i | 0.164999 | − | 0.0600547i | ||||
\(737\) | −6133.51 | + | 10623.6i | −0.306555 | + | 0.530968i | ||||
\(738\) | 27968.9 | − | 54770.1i | 1.39506 | − | 2.73187i | ||||
\(739\) | 7296.65 | + | 12638.2i | 0.363209 | + | 0.629096i | 0.988487 | − | 0.151306i | \(-0.0483478\pi\) |
−0.625278 | + | 0.780402i | \(0.715014\pi\) | |||||||
\(740\) | 59859.3 | + | 50227.9i | 2.97361 | + | 2.49515i | ||||
\(741\) | −1279.01 | − | 6301.07i | −0.0634085 | − | 0.312383i | ||||
\(742\) | 2665.61 | + | 15117.4i | 0.131884 | + | 0.747950i | ||||
\(743\) | −3626.20 | − | 20565.2i | −0.179048 | − | 1.01543i | −0.933367 | − | 0.358923i | \(-0.883144\pi\) |
0.754319 | − | 0.656508i | \(-0.227967\pi\) | |||||||
\(744\) | 9010.55 | + | 3019.40i | 0.444009 | + | 0.148786i | ||||
\(745\) | 13194.1 | + | 11071.2i | 0.648852 | + | 0.544451i | ||||
\(746\) | −7580.30 | − | 13129.5i | −0.372030 | − | 0.644375i | ||||
\(747\) | 5447.08 | + | 4112.37i | 0.266798 | + | 0.201424i | ||||
\(748\) | 5852.83 | − | 10137.4i | 0.286097 | − | 0.495535i | ||||
\(749\) | −9430.80 | + | 3432.53i | −0.460072 | + | 0.167453i | ||||
\(750\) | −2347.86 | − | 1869.30i | −0.114309 | − | 0.0910094i | ||||
\(751\) | 7637.96 | − | 6409.01i | 0.371123 | − | 0.311409i | −0.438083 | − | 0.898935i | \(-0.644342\pi\) |
0.809205 | + | 0.587526i | \(0.199898\pi\) | |||||||
\(752\) | −10028.1 | − | 3649.95i | −0.486288 | − | 0.176994i | ||||
\(753\) | 11997.6 | − | 308.762i | 0.580635 | − | 0.0149428i | ||||
\(754\) | 10289.3 | − | 58353.7i | 0.496970 | − | 2.81846i | ||||
\(755\) | 43042.5 | 2.07480 | ||||||||
\(756\) | −13700.1 | + | 1059.60i | −0.659086 | + | 0.0509752i | ||||
\(757\) | −32639.5 | −1.56711 | −0.783556 | − | 0.621321i | \(-0.786596\pi\) | ||||
−0.783556 | + | 0.621321i | \(0.786596\pi\) | |||||||
\(758\) | −4437.04 | + | 25163.7i | −0.212613 | + | 1.20579i | ||||
\(759\) | 2854.05 | − | 5250.86i | 0.136489 | − | 0.251112i | ||||
\(760\) | −14594.0 | − | 5311.80i | −0.696554 | − | 0.253525i | ||||
\(761\) | −20219.3 | + | 16966.0i | −0.963138 | + | 0.808169i | −0.981461 | − | 0.191663i | \(-0.938612\pi\) |
0.0183225 | + | 0.999832i | \(0.494167\pi\) | |||||||
\(762\) | 1727.55 | − | 11523.8i | 0.0821294 | − | 0.547853i | ||||
\(763\) | −8999.87 | + | 3275.69i | −0.427021 | + | 0.155423i | ||||
\(764\) | 5155.54 | − | 8929.66i | 0.244137 | − | 0.422858i | ||||
\(765\) | −5257.22 | + | 4893.59i | −0.248464 | + | 0.231279i | ||||
\(766\) | 29738.0 | + | 51507.6i | 1.40271 | + | 2.42956i | ||||
\(767\) | −7311.11 | − | 6134.75i | −0.344183 | − | 0.288804i | ||||
\(768\) | 31391.6 | − | 27747.8i | 1.47493 | − | 1.30373i | ||||
\(769\) | 978.862 | + | 5551.40i | 0.0459020 | + | 0.260323i | 0.999119 | − | 0.0419631i | \(-0.0133612\pi\) |
−0.953217 | + | 0.302286i | \(0.902250\pi\) | |||||||
\(770\) | −3030.33 | − | 17185.8i | −0.141825 | − | 0.804331i | ||||
\(771\) | −2117.94 | + | 1872.10i | −0.0989310 | + | 0.0874473i | ||||
\(772\) | −18955.2 | − | 15905.3i | −0.883694 | − | 0.741507i | ||||
\(773\) | 706.977 | + | 1224.52i | 0.0328955 | + | 0.0569766i | 0.882004 | − | 0.471241i | \(-0.156194\pi\) |
−0.849109 | + | 0.528218i | \(0.822860\pi\) | |||||||
\(774\) | 506.368 | + | 2202.37i | 0.0235155 | + | 0.102277i | ||||
\(775\) | 2278.10 | − | 3945.79i | 0.105590 | − | 0.182887i | ||||
\(776\) | 14338.8 | − | 5218.90i | 0.663316 | − | 0.241427i | ||||
\(777\) | −1253.88 | + | 8364.12i | −0.0578927 | + | 0.386179i | ||||
\(778\) | −38023.5 | + | 31905.5i | −1.75220 | + | 1.47027i | ||||
\(779\) | 8971.63 | + | 3265.41i | 0.412634 | + | 0.150186i | ||||
\(780\) | −39355.6 | + | 72406.1i | −1.80661 | + | 3.32379i | ||||
\(781\) | −2849.89 | + | 16162.5i | −0.130572 | + | 0.740513i | ||||
\(782\) | 2507.84 | 0.114680 | ||||||||
\(783\) | −2736.99 | + | 28027.7i | −0.124920 | + | 1.27922i | ||||
\(784\) | −30769.6 | −1.40168 | ||||||||
\(785\) | 2979.05 | − | 16895.0i | 0.135448 | − | 0.768165i | ||||
\(786\) | −49524.1 | + | 1274.52i | −2.24741 | + | 0.0578377i | ||||
\(787\) | 14099.4 | + | 5131.76i | 0.638613 | + | 0.232436i | 0.640976 | − | 0.767561i | \(-0.278530\pi\) |
−0.00236264 | + | 0.999997i | \(0.500752\pi\) | |||||||
\(788\) | −10247.0 | + | 8598.22i | −0.463240 | + | 0.388704i | ||||
\(789\) | −15567.0 | − | 12394.0i | −0.702406 | − | 0.559236i | ||||
\(790\) | 34717.8 | − | 12636.2i | 1.56355 | − | 0.569085i | ||||
\(791\) | 1547.04 | − | 2679.54i | 0.0695401 | − | 0.120447i | ||||
\(792\) | −6174.92 | + | 49918.9i | −0.277041 | + | 2.23964i | ||||
\(793\) | 13282.0 | + | 23005.0i | 0.594775 | + | 1.03018i | ||||
\(794\) | −19213.9 | − | 16122.4i | −0.858787 | − | 0.720607i | ||||
\(795\) | −41487.2 | − | 13902.2i | −1.85082 | − | 0.620202i | ||||
\(796\) | −13708.4 | − | 77744.3i | −0.610405 | − | 3.46178i | ||||
\(797\) | −4310.64 | − | 24446.8i | −0.191582 | − | 1.08651i | −0.917203 | − | 0.398420i | \(-0.869559\pi\) |
0.725622 | − | 0.688094i | \(-0.241552\pi\) | |||||||
\(798\) | −619.760 | − | 3053.25i | −0.0274928 | − | 0.135444i | ||||
\(799\) | −1412.07 | − | 1184.87i | −0.0625223 | − | 0.0524625i | ||||
\(800\) | 7073.76 | + | 12252.1i | 0.312619 | + | 0.541472i | ||||
\(801\) | −13756.4 | − | 21224.9i | −0.606815 | − | 0.936259i | ||||
\(802\) | −10235.8 | + | 17728.8i | −0.450670 | + | 0.780583i | ||||
\(803\) | 21831.3 | − | 7945.96i | 0.959416 | − | 0.349199i | ||||
\(804\) | 26122.0 | − | 10276.2i | 1.14584 | − | 0.450761i | ||||
\(805\) | 1961.05 | − | 1645.52i | 0.0858609 | − | 0.0720458i | ||||
\(806\) | 10743.6 | + | 3910.36i | 0.469513 | + | 0.170889i | ||||
\(807\) | 10487.3 | + | 17131.0i | 0.457460 | + | 0.747263i | ||||
\(808\) | 2072.54 | − | 11754.0i | 0.0902373 | − | 0.511761i | ||||
\(809\) | −9052.45 | −0.393408 | −0.196704 | − | 0.980463i | \(-0.563024\pi\) | ||||
−0.196704 | + | 0.980463i | \(0.563024\pi\) | |||||||
\(810\) | 23359.8 | − | 52213.7i | 1.01331 | − | 2.26494i | ||||
\(811\) | −6428.27 | −0.278332 | −0.139166 | − | 0.990269i | \(-0.544442\pi\) | ||||
−0.139166 | + | 0.990269i | \(0.544442\pi\) | |||||||
\(812\) | 3413.88 | − | 19361.0i | 0.147541 | − | 0.836748i | ||||
\(813\) | −124.875 | − | 203.983i | −0.00538690 | − | 0.00879951i | ||||
\(814\) | 53919.7 | + | 19625.2i | 2.32172 | + | 0.845039i | ||||
\(815\) | −38234.1 | + | 32082.2i | −1.64329 | + | 1.37889i | ||||
\(816\) | −8164.14 | + | 3211.69i | −0.350248 | + | 0.137784i | ||||
\(817\) | −329.674 | + | 119.992i | −0.0141173 | + | 0.00513828i | ||||
\(818\) | −6999.74 | + | 12123.9i | −0.299193 | + | 0.518218i | ||||
\(819\) | −8907.93 | + | 458.799i | −0.380059 | + | 0.0195748i | ||||
\(820\) | −61186.7 | − | 105978.i | −2.60577 | − | 4.51332i | ||||
\(821\) | −12683.5 | − | 10642.7i | −0.539169 | − | 0.452416i | 0.332085 | − | 0.943250i | \(-0.392248\pi\) |
−0.871254 | + | 0.490833i | \(0.836692\pi\) | |||||||
\(822\) | 9931.35 | + | 48926.9i | 0.421406 | + | 2.07606i | ||||
\(823\) | 113.108 | + | 641.466i | 0.00479063 | + | 0.0271690i | 0.987109 | − | 0.160047i | \(-0.0511646\pi\) |
−0.982319 | + | 0.187216i | \(0.940054\pi\) | |||||||
\(824\) | 10893.0 | + | 61777.5i | 0.460531 | + | 2.61180i | ||||
\(825\) | 22866.4 | + | 7662.44i | 0.964976 | + | 0.323360i | ||||
\(826\) | −3542.68 | − | 2972.66i | −0.149232 | − | 0.125220i | ||||
\(827\) | 8305.20 | + | 14385.0i | 0.349214 | + | 0.604857i | 0.986110 | − | 0.166093i | \(-0.0531152\pi\) |
−0.636896 | + | 0.770950i | \(0.719782\pi\) | |||||||
\(828\) | −12593.4 | + | 5332.20i | −0.528564 | + | 0.223800i | ||||
\(829\) | 2843.11 | − | 4924.42i | 0.119114 | − | 0.206311i | −0.800303 | − | 0.599596i | \(-0.795328\pi\) |
0.919417 | + | 0.393285i | \(0.128661\pi\) | |||||||
\(830\) | 18638.4 | − | 6783.82i | 0.779455 | − | 0.283698i | ||||
\(831\) | 27406.4 | + | 21820.2i | 1.14406 | + | 0.910871i | ||||
\(832\) | 8311.69 | − | 6974.33i | 0.346341 | − | 0.290615i | ||||
\(833\) | −4994.30 | − | 1817.78i | −0.207734 | − | 0.0756089i | ||||
\(834\) | 80101.0 | − | 2061.42i | 3.32575 | − | 0.0855889i | ||||
\(835\) | −3159.97 | + | 17921.1i | −0.130965 | + | 0.742737i | ||||
\(836\) | −14473.0 | −0.598754 | ||||||||
\(837\) | −5234.13 | − | 1459.17i | −0.216151 | − | 0.0602585i | ||||
\(838\) | −55430.6 | −2.28499 | ||||||||
\(839\) | −1690.50 | + | 9587.29i | −0.0695619 | + | 0.394505i | 0.930070 | + | 0.367382i | \(0.119746\pi\) |
−0.999632 | + | 0.0271234i | \(0.991365\pi\) | |||||||
\(840\) | −10289.2 | + | 18930.1i | −0.422634 | + | 0.777559i | ||||
\(841\) | −14942.9 | − | 5438.77i | −0.612690 | − | 0.223001i | ||||
\(842\) | −3427.04 | + | 2875.63i | −0.140265 | + | 0.117697i | ||||
\(843\) | 3655.17 | − | 24382.2i | 0.149337 | − | 0.996165i | ||||
\(844\) | −65727.2 | + | 23922.7i | −2.68060 | + | 0.975657i | ||||
\(845\) | −9636.45 | + | 16690.8i | −0.392312 | + | 0.679505i | ||||
\(846\) | 14035.2 | + | 4304.80i | 0.570377 | + | 0.174944i | ||||
\(847\) | −635.559 | − | 1100.82i | −0.0257828 | − | 0.0446572i | ||||
\(848\) | −40941.9 | − | 34354.3i | −1.65796 | − | 1.39119i | ||||
\(849\) | −13971.8 | + | 12350.0i | −0.564797 | + | 0.499236i | ||||
\(850\) | 1757.27 | + | 9965.96i | 0.0709104 | + | 0.402153i | ||||
\(851\) | 1461.66 | + | 8289.51i | 0.0588780 | + | 0.333914i | ||||
\(852\) | 28138.4 | − | 24872.2i | 1.13146 | − | 1.00013i | ||||
\(853\) | −1463.20 | − | 1227.77i | −0.0587327 | − | 0.0492826i | 0.612949 | − | 0.790123i | \(-0.289983\pi\) |
−0.671681 | + | 0.740840i | \(0.734428\pi\) | |||||||
\(854\) | 6435.93 | + | 11147.4i | 0.257884 | + | 0.446668i | ||||
\(855\) | 8489.91 | + | 2603.99i | 0.339589 | + | 0.104157i | ||||
\(856\) | 42032.8 | − | 72803.0i | 1.67833 | − | 2.90696i | ||||
\(857\) | 28454.4 | − | 10356.5i | 1.13417 | − | 0.412804i | 0.294365 | − | 0.955693i | \(-0.404892\pi\) |
0.839804 | + | 0.542889i | \(0.182670\pi\) | |||||||
\(858\) | −8971.73 | + | 59846.9i | −0.356981 | + | 2.38128i | ||||
\(859\) | −30617.0 | + | 25690.7i | −1.21611 | + | 1.02044i | −0.217092 | + | 0.976151i | \(0.569657\pi\) |
−0.999019 | + | 0.0442875i | \(0.985898\pi\) | |||||||
\(860\) | 4225.58 | + | 1537.98i | 0.167548 | + | 0.0609824i | ||||
\(861\) | 6325.26 | − | 11637.2i | 0.250365 | − | 0.460620i | ||||
\(862\) | 5257.48 | − | 29816.6i | 0.207738 | − | 1.17814i | ||||
\(863\) | −19731.1 | −0.778278 | −0.389139 | − | 0.921179i | \(-0.627227\pi\) | ||||
−0.389139 | + | 0.921179i | \(0.627227\pi\) | |||||||
\(864\) | 12050.1 | − | 11809.7i | 0.474484 | − | 0.465015i | ||||
\(865\) | 21829.3 | 0.858055 | ||||||||
\(866\) | −6495.82 | + | 36839.6i | −0.254893 | + | 1.44557i | ||||
\(867\) | 24005.4 | − | 617.784i | 0.940329 | − | 0.0241996i | ||||
\(868\) | 3564.60 | + | 1297.41i | 0.139390 | + | 0.0507338i | ||||
\(869\) | 14230.4 | − | 11940.7i | 0.555503 | − | 0.466123i | ||||
\(870\) | 64025.1 | + | 50975.0i | 2.49500 | + | 1.98645i | ||||
\(871\) | 17122.6 | − | 6232.13i | 0.666106 | − | 0.242443i | ||||
\(872\) | 40112.2 | − | 69476.4i | 1.55776 | − | 2.69813i | ||||
\(873\) | −8034.45 | + | 3401.88i | −0.311483 | + | 0.131886i | ||||
\(874\) | −1550.36 | − | 2685.30i | −0.0600019 | − | 0.103926i | ||||
\(875\) | −495.142 | − | 415.474i | −0.0191301 | − | 0.0160521i | ||||
\(876\) | −50407.9 | − | 16891.5i | −1.94421 | − | 0.651496i | ||||
\(877\) | 5986.23 | + | 33949.6i | 0.230491 | + | 1.30718i | 0.851905 | + | 0.523697i | \(0.175448\pi\) |
−0.621414 | + | 0.783483i | \(0.713441\pi\) | |||||||
\(878\) | 9186.36 | + | 52098.4i | 0.353103 | + | 2.00255i | ||||
\(879\) | −6937.40 | − | 34177.2i | −0.266203 | − | 1.31145i | ||||
\(880\) | 46543.6 | + | 39054.7i | 1.78294 | + | 1.49606i | ||||
\(881\) | 10736.5 | + | 18596.2i | 0.410582 | + | 0.711149i | 0.994953 | − | 0.100337i | \(-0.0319922\pi\) |
−0.584371 | + | 0.811486i | \(0.698659\pi\) | |||||||
\(882\) | 42272.0 | − | 2177.20i | 1.61380 | − | 0.0831182i | ||||
\(883\) | 8801.45 | − | 15244.6i | 0.335439 | − | 0.580997i | −0.648130 | − | 0.761529i | \(-0.724449\pi\) |
0.983569 | + | 0.180533i | \(0.0577822\pi\) | |||||||
\(884\) | −16339.0 | + | 5946.93i | −0.621654 | + | 0.226263i | ||||
\(885\) | 12266.7 | − | 4825.61i | 0.465923 | − | 0.183289i | ||||
\(886\) | 36253.5 | − | 30420.3i | 1.37467 | − | 1.15349i | ||||
\(887\) | 35840.9 | + | 13045.0i | 1.35673 | + | 0.493809i | 0.915042 | − | 0.403360i | \(-0.132158\pi\) |
0.441688 | + | 0.897169i | \(0.354380\pi\) | |||||||
\(888\) | −36988.6 | − | 60421.0i | −1.39781 | − | 2.28333i | ||||
\(889\) | 435.798 | − | 2471.54i | 0.0164412 | − | 0.0932426i | ||||
\(890\) | −73504.2 | −2.76839 | ||||||||
\(891\) | 2057.93 | − | 28687.0i | 0.0773774 | − | 1.07862i | ||||
\(892\) | 79869.2 | 2.99800 | ||||||||
\(893\) | −395.762 | + | 2244.48i | −0.0148305 | + | 0.0841081i | ||||
\(894\) | −15110.8 | − | 24683.6i | −0.565305 | − | 0.923426i | ||||
\(895\) | 21083.5 | + | 7673.77i | 0.787424 | + | 0.286599i | ||||
\(896\) | 8182.25 | − | 6865.73i | 0.305078 | − | 0.255991i | ||||
\(897\) | −8261.11 | + | 3249.84i | −0.307503 | + | 0.120969i | ||||
\(898\) | −37913.9 | + | 13799.5i | −1.40891 | + | 0.512802i | ||||
\(899\) | 3887.09 | − | 6732.64i | 0.144207 | − | 0.249773i | ||||
\(900\) | −30014.1 | − | 46308.9i | −1.11163 | − | 1.71514i | ||||
\(901\) | −4615.84 | − | 7994.87i | −0.170673 | − | 0.295613i | ||||
\(902\) | −68837.5 | − | 57761.5i | −2.54106 | − | 2.13220i | ||||
\(903\) | 96.8194 | + | 476.982i | 0.00356805 | + | 0.0175780i | ||||
\(904\) | 4500.46 | + | 25523.4i | 0.165579 | + | 0.939042i | ||||
\(905\) | −2424.17 | − | 13748.2i | −0.0890411 | − | 0.504977i | ||||
\(906\) | −68578.1 | − | 22980.2i | −2.51474 | − | 0.842680i | ||||
\(907\) | 6572.14 | + | 5514.68i | 0.240600 | + | 0.201887i | 0.755112 | − | 0.655596i | \(-0.227582\pi\) |
−0.514512 | + | 0.857483i | \(0.672027\pi\) | |||||||
\(908\) | 1302.81 | + | 2256.53i | 0.0476158 | + | 0.0824731i | ||||
\(909\) | −837.796 | + | 6772.86i | −0.0305698 | + | 0.247131i | ||||
\(910\) | −12960.9 | + | 22448.9i | −0.472142 | + | 0.817773i | ||||
\(911\) | −7446.92 | + | 2710.46i | −0.270832 | + | 0.0985746i | −0.473866 | − | 0.880597i | \(-0.657142\pi\) |
0.203034 | + | 0.979172i | \(0.434920\pi\) | |||||||
\(912\) | 8486.07 | + | 6756.36i | 0.308116 | + | 0.245313i | ||||
\(913\) | 7639.64 | − | 6410.42i | 0.276928 | − | 0.232370i | ||||
\(914\) | −16849.8 | − | 6132.84i | −0.609784 | − | 0.221943i | ||||
\(915\) | −36677.0 | + | 943.890i | −1.32514 | + | 0.0341028i | ||||
\(916\) | −15616.6 | + | 88566.3i | −0.563306 | + | 3.19467i | ||||
\(917\) | −10669.7 | −0.384238 | ||||||||
\(918\) | 10988.8 | − | 4989.98i | 0.395082 | − | 0.179405i | ||||
\(919\) | 26507.1 | 0.951457 | 0.475729 | − | 0.879592i | \(-0.342184\pi\) | ||||
0.475729 | + | 0.879592i | \(0.342184\pi\) | |||||||
\(920\) | −3723.59 | + | 21117.5i | −0.133438 | + | 0.756765i | ||||
\(921\) | 2839.52 | − | 5224.12i | 0.101591 | − | 0.186906i | ||||
\(922\) | −11818.7 | − | 4301.67i | −0.422157 | − | 0.153653i | ||||
\(923\) | 18674.9 | − | 15670.1i | 0.665970 | − | 0.558815i | ||||
\(924\) | −2976.71 | + | 19856.5i | −0.105981 | + | 0.706959i | ||||
\(925\) | −31917.7 | + | 11617.1i | −1.13454 | + | 0.412938i | ||||
\(926\) | −13335.3 | + | 23097.5i | −0.473247 | + | 0.819688i | ||||
\(927\) | −8037.23 | − | 34956.7i | −0.284765 | − | 1.23854i | ||||
\(928\) | 12069.8 | + | 20905.6i | 0.426953 | + | 0.739504i | ||||
\(929\) | −8939.44 | − | 7501.08i | −0.315709 | − | 0.264911i | 0.471138 | − | 0.882060i | \(-0.343843\pi\) |
−0.786847 | + | 0.617148i | \(0.788288\pi\) | |||||||
\(930\) | −11831.5 | + | 10458.1i | −0.417171 | + | 0.368747i | ||||
\(931\) | 1141.09 | + | 6471.46i | 0.0401695 | + | 0.227813i | ||||
\(932\) | 1491.83 | + | 8460.61i | 0.0524320 | + | 0.297357i | ||||
\(933\) | −35114.7 | + | 31038.7i | −1.23216 | + | 1.08913i | ||||
\(934\) | 2645.86 | + | 2220.14i | 0.0926930 | + | 0.0777787i | ||||
\(935\) | 5247.39 | + | 9088.74i | 0.183538 | + | 0.317897i | ||||
\(936\) | 54689.0 | − | 50906.3i | 1.90979 | − | 1.77770i | ||||
\(937\) | 11020.7 | − | 19088.4i | 0.384237 | − | 0.665518i | −0.607426 | − | 0.794376i | \(-0.707798\pi\) |
0.991663 | + | 0.128858i | \(0.0411312\pi\) | |||||||
\(938\) | 8296.96 | − | 3019.85i | 0.288812 | − | 0.105119i | ||||
\(939\) | 897.497 | − | 5986.85i | 0.0311914 | − | 0.208065i | ||||
\(940\) | 22377.9 | − | 18777.3i | 0.776474 | − | 0.651539i | ||||
\(941\) | 13109.7 | + | 4771.52i | 0.454158 | + | 0.165300i | 0.558963 | − | 0.829193i | \(-0.311200\pi\) |
−0.104805 | + | 0.994493i | \(0.533422\pi\) | |||||||
\(942\) | −13766.6 | + | 25327.8i | −0.476158 | + | 0.876033i | ||||
\(943\) | 2289.06 | − | 12981.9i | 0.0790478 | − | 0.448302i | ||||
\(944\) | 16101.5 | 0.555146 | ||||||||
\(945\) | 5318.75 | − | 11112.3i | 0.183089 | − | 0.382523i | ||||
\(946\) | 3302.06 | 0.113487 | ||||||||
\(947\) | 7841.27 | − | 44470.0i | 0.269068 | − | 1.52596i | −0.488129 | − | 0.872771i | \(-0.662321\pi\) |
0.757197 | − | 0.653187i | \(-0.226568\pi\) | |||||||
\(948\) | −42494.4 | + | 1093.60i | −1.45586 | + | 0.0374668i | ||||
\(949\) | −32428.4 | − | 11803.0i | −1.10924 | − | 0.403731i | ||||
\(950\) | 9584.82 | − | 8042.62i | 0.327340 | − | 0.274671i | ||||
\(951\) | −114.920 | − | 91.4962i | −0.00391855 | − | 0.00311984i | ||||
\(952\) | −4271.73 | + | 1554.78i | −0.145428 | + | 0.0529315i | ||||
\(953\) | 12599.8 | − | 21823.6i | 0.428278 | − | 0.741799i | −0.568442 | − | 0.822723i | \(-0.692454\pi\) |
0.996720 | + | 0.0809240i | \(0.0257871\pi\) | |||||||
\(954\) | 58677.8 | + | 44299.8i | 1.99137 | + | 1.50342i | ||||
\(955\) | 4622.23 | + | 8005.94i | 0.156620 | + | 0.271273i | ||||
\(956\) | 76824.3 | + | 64463.2i | 2.59903 | + | 2.18085i | ||||
\(957\) | 39016.5 | + | 13074.3i | 1.31790 | + | 0.441622i | ||||
\(958\) | −12615.6 | − | 71546.7i | −0.425462 | − | 2.41291i | ||||
\(959\) | 1867.15 | + | 10589.1i | 0.0628711 | + | 0.356560i | ||||
\(960\) | 2981.07 | + | 14686.3i | 0.100223 | + | 0.493748i | ||||
\(961\) | −21672.1 | − | 18185.1i | −0.727472 | − | 0.610422i | ||||
\(962\) | −42616.4 | − | 73813.8i | −1.42828 | − | 2.47386i | ||||
\(963\) | −21861.0 | + | 42809.2i | −0.731526 | + | 1.43251i | ||||
\(964\) | −53200.1 | + | 92145.2i | −1.77745 | + | 3.07863i | ||||
\(965\) | 20846.7 | − | 7587.57i | 0.695418 | − | 0.253112i | ||||
\(966\) | −4003.01 | + | 1574.75i | −0.133328 | + | 0.0524499i | ||||
\(967\) | −13960.8 | + | 11714.5i | −0.464270 | + | 0.389569i | −0.844699 | − | 0.535241i | \(-0.820221\pi\) |
0.380429 | + | 0.924810i | \(0.375776\pi\) | |||||||
\(968\) | 10005.2 | + | 3641.61i | 0.332212 | + | 0.120915i | ||||
\(969\) | 978.251 | + | 1597.97i | 0.0324313 | + | 0.0529766i | ||||
\(970\) | −4402.98 | + | 24970.5i | −0.145743 | + | 0.826552i | ||||
\(971\) | 31852.0 | 1.05271 | 0.526355 | − | 0.850265i | \(-0.323558\pi\) | ||||
0.526355 | + | 0.850265i | \(0.323558\pi\) | |||||||
\(972\) | −44571.9 | + | 48422.3i | −1.47083 | + | 1.59789i | ||||
\(973\) | 17257.4 | 0.568599 | ||||||||
\(974\) | −8408.68 | + | 47688.0i | −0.276624 | + | 1.56881i | ||||
\(975\) | −18703.3 | − | 30551.8i | −0.614342 | − | 1.00353i | ||||
\(976\) | −42112.8 | − | 15327.8i | −1.38115 | − | 0.502696i | ||||
\(977\) | −11203.4 | + | 9400.78i | −0.366867 | + | 0.307838i | −0.807521 | − | 0.589839i | \(-0.799191\pi\) |
0.440654 | + | 0.897677i | \(0.354747\pi\) | |||||||
\(978\) | 78045.7 | − | 30702.4i | 2.55177 | − | 1.00384i | ||||
\(979\) | −34729.1 | + | 12640.4i | −1.13376 | + | 0.412654i | ||||
\(980\) | 42113.6 | − | 72942.9i | 1.37272 | − | 2.37763i | ||||
\(981\) | −20862.1 | + | 40853.1i | −0.678975 | + | 1.32960i | ||||
\(982\) | 7663.04 | + | 13272.8i | 0.249020 | + | 0.431315i | ||||
\(983\) | −16132.4 | − | 13536.7i | −0.523442 | − | 0.439220i | 0.342388 | − | 0.939559i | \(-0.388764\pi\) |
−0.865830 | + | 0.500339i | \(0.833209\pi\) | |||||||
\(984\) | 22070.1 | + | 108729.i | 0.715010 | + | 3.52250i | ||||
\(985\) | −2082.52 | − | 11810.5i | −0.0673650 | − | 0.382046i | ||||
\(986\) | 2998.40 | + | 17004.8i | 0.0968443 | + | 0.549231i | ||||
\(987\) | 2997.95 | + | 1004.60i | 0.0966828 | + | 0.0323980i | ||||
\(988\) | 16468.6 | + | 13818.8i | 0.530300 | + | 0.444975i | ||||
\(989\) | 242.198 | + | 419.499i | 0.00778711 | + | 0.0134877i | ||||
\(990\) | −66706.1 | − | 50360.9i | −2.14147 | − | 1.61674i | ||||
\(991\) | 7051.45 | − | 12213.5i | 0.226031 | − | 0.391497i | −0.730597 | − | 0.682809i | \(-0.760758\pi\) |
0.956628 | + | 0.291311i | \(0.0940916\pi\) | |||||||
\(992\) | −4376.89 | + | 1593.06i | −0.140087 | + | 0.0509875i | ||||
\(993\) | −44008.6 | − | 35038.4i | −1.40642 | − | 1.11975i | ||||
\(994\) | 9049.11 | − | 7593.11i | 0.288753 | − | 0.242293i | ||||
\(995\) | 66509.0 | + | 24207.3i | 2.11907 | + | 0.771279i | ||||
\(996\) | −22813.3 | + | 587.105i | −0.725769 | + | 0.0186779i | ||||
\(997\) | 7222.56 | − | 40961.2i | 0.229429 | − | 1.30116i | −0.624605 | − | 0.780941i | \(-0.714740\pi\) |
0.854034 | − | 0.520217i | \(-0.174149\pi\) | |||||||
\(998\) | −65072.9 | −2.06397 | ||||||||
\(999\) | 22898.8 | + | 33414.6i | 0.725210 | + | 1.05825i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 27.4.e.a.25.1 | yes | 48 | |
3.2 | odd | 2 | 81.4.e.a.73.8 | 48 | |||
9.2 | odd | 6 | 243.4.e.a.55.1 | 48 | |||
9.4 | even | 3 | 243.4.e.c.136.1 | 48 | |||
9.5 | odd | 6 | 243.4.e.b.136.8 | 48 | |||
9.7 | even | 3 | 243.4.e.d.55.8 | 48 | |||
27.4 | even | 9 | 243.4.e.c.109.1 | 48 | |||
27.5 | odd | 18 | 243.4.e.a.190.1 | 48 | |||
27.11 | odd | 18 | 729.4.a.c.1.24 | 24 | |||
27.13 | even | 9 | inner | 27.4.e.a.13.1 | ✓ | 48 | |
27.14 | odd | 18 | 81.4.e.a.10.8 | 48 | |||
27.16 | even | 9 | 729.4.a.d.1.1 | 24 | |||
27.22 | even | 9 | 243.4.e.d.190.8 | 48 | |||
27.23 | odd | 18 | 243.4.e.b.109.8 | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
27.4.e.a.13.1 | ✓ | 48 | 27.13 | even | 9 | inner | |
27.4.e.a.25.1 | yes | 48 | 1.1 | even | 1 | trivial | |
81.4.e.a.10.8 | 48 | 27.14 | odd | 18 | |||
81.4.e.a.73.8 | 48 | 3.2 | odd | 2 | |||
243.4.e.a.55.1 | 48 | 9.2 | odd | 6 | |||
243.4.e.a.190.1 | 48 | 27.5 | odd | 18 | |||
243.4.e.b.109.8 | 48 | 27.23 | odd | 18 | |||
243.4.e.b.136.8 | 48 | 9.5 | odd | 6 | |||
243.4.e.c.109.1 | 48 | 27.4 | even | 9 | |||
243.4.e.c.136.1 | 48 | 9.4 | even | 3 | |||
243.4.e.d.55.8 | 48 | 9.7 | even | 3 | |||
243.4.e.d.190.8 | 48 | 27.22 | even | 9 | |||
729.4.a.c.1.24 | 24 | 27.11 | odd | 18 | |||
729.4.a.d.1.1 | 24 | 27.16 | even | 9 |