Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [128,5,Mod(3,128)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(128, base_ring=CyclotomicField(32))
chi = DirichletCharacter(H, H._module([16, 3]))
N = Newforms(chi, 5, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("128.3");
S:= CuspForms(chi, 5);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 128 = 2^{7} \) |
Weight: | \( k \) | \(=\) | \( 5 \) |
Character orbit: | \([\chi]\) | \(=\) | 128.l (of order \(32\), degree \(16\), 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: | \(13.2313552747\) |
Analytic rank: | \(0\) |
Dimension: | \(1008\) |
Relative dimension: | \(63\) over \(\Q(\zeta_{32})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{32}]$ |
Embedding invariants
Embedding label | 3.9 | ||
Character | \(\chi\) | \(=\) | 128.3 |
Dual form | 128.5.l.a.43.9 |
$q$-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 \(\left(\mathbb{Z}/128\mathbb{Z}\right)^\times\).
\(n\) | \(5\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{3}{32}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −3.81656 | − | 1.19746i | −0.954139 | − | 0.299364i | ||||
\(3\) | −9.21046 | + | 7.55883i | −1.02338 | + | 0.839870i | −0.987202 | − | 0.159476i | \(-0.949020\pi\) |
−0.0361822 | + | 0.999345i | \(0.511520\pi\) | |||||||
\(4\) | 13.1322 | + | 9.14031i | 0.820762 | + | 0.571270i | ||||
\(5\) | −23.7963 | − | 7.21854i | −0.951853 | − | 0.288741i | −0.224089 | − | 0.974569i | \(-0.571941\pi\) |
−0.727764 | + | 0.685827i | \(0.759441\pi\) | |||||||
\(6\) | 44.2036 | − | 17.8196i | 1.22788 | − | 0.494988i | ||||
\(7\) | 16.4786 | + | 82.8433i | 0.336297 | + | 1.69068i | 0.665482 | + | 0.746414i | \(0.268226\pi\) |
−0.329185 | + | 0.944265i | \(0.606774\pi\) | |||||||
\(8\) | −39.1746 | − | 50.6098i | −0.612104 | − | 0.790777i | ||||
\(9\) | 11.8943 | − | 59.7969i | 0.146844 | − | 0.738233i | ||||
\(10\) | 82.1761 | + | 56.0450i | 0.821761 | + | 0.560450i | ||||
\(11\) | 20.8775 | + | 211.972i | 0.172541 | + | 1.75184i | 0.558667 | + | 0.829392i | \(0.311313\pi\) |
−0.386126 | + | 0.922446i | \(0.626187\pi\) | |||||||
\(12\) | −190.044 | + | 15.0775i | −1.31975 | + | 0.104705i | ||||
\(13\) | 64.7754 | + | 213.536i | 0.383286 | + | 1.26353i | 0.910399 | + | 0.413731i | \(0.135775\pi\) |
−0.527113 | + | 0.849795i | \(0.676725\pi\) | |||||||
\(14\) | 36.3099 | − | 335.908i | 0.185254 | − | 1.71382i | ||||
\(15\) | 273.739 | − | 113.386i | 1.21662 | − | 0.503939i | ||||
\(16\) | 88.9093 | + | 240.065i | 0.347302 | + | 0.937753i | ||||
\(17\) | 135.129 | − | 326.230i | 0.467575 | − | 1.12883i | −0.497644 | − | 0.867381i | \(-0.665801\pi\) |
0.965219 | − | 0.261444i | \(-0.0841986\pi\) | |||||||
\(18\) | −117.000 | + | 213.975i | −0.361110 | + | 0.660417i | ||||
\(19\) | −152.189 | + | 284.726i | −0.421576 | + | 0.788714i | −0.999628 | − | 0.0272864i | \(-0.991313\pi\) |
0.578051 | + | 0.816000i | \(0.303813\pi\) | |||||||
\(20\) | −246.518 | − | 312.301i | −0.616296 | − | 0.780753i | ||||
\(21\) | −777.973 | − | 638.466i | −1.76411 | − | 1.44777i | ||||
\(22\) | 174.148 | − | 834.004i | 0.359809 | − | 1.72315i | ||||
\(23\) | −266.539 | + | 178.096i | −0.503855 | + | 0.336665i | −0.781382 | − | 0.624053i | \(-0.785485\pi\) |
0.277528 | + | 0.960718i | \(0.410485\pi\) | |||||||
\(24\) | 743.367 | + | 170.025i | 1.29057 | + | 0.295182i | ||||
\(25\) | −5.51054 | − | 3.68203i | −0.00881687 | − | 0.00589124i | ||||
\(26\) | 8.48085 | − | 892.538i | 0.0125456 | − | 1.32032i | ||||
\(27\) | −112.512 | − | 210.495i | −0.154337 | − | 0.288745i | ||||
\(28\) | −540.814 | + | 1238.53i | −0.689814 | + | 1.57976i | ||||
\(29\) | −65.0999 | + | 660.970i | −0.0774077 | + | 0.785934i | 0.875610 | + | 0.483019i | \(0.160460\pi\) |
−0.953018 | + | 0.302915i | \(0.902040\pi\) | |||||||
\(30\) | −1180.51 | + | 104.955i | −1.31168 | + | 0.116617i | ||||
\(31\) | 131.950 | + | 131.950i | 0.137305 | + | 0.137305i | 0.772419 | − | 0.635114i | \(-0.219047\pi\) |
−0.635114 | + | 0.772419i | \(0.719047\pi\) | |||||||
\(32\) | −51.8602 | − | 1022.69i | −0.0506447 | − | 0.998717i | ||||
\(33\) | −1794.55 | − | 1794.55i | −1.64789 | − | 1.64789i | ||||
\(34\) | −906.374 | + | 1083.27i | −0.784061 | + | 0.937081i | ||||
\(35\) | 205.878 | − | 2090.32i | 0.168064 | − | 1.70638i | ||||
\(36\) | 702.761 | − | 676.546i | 0.542254 | − | 0.522027i | ||||
\(37\) | 39.8945 | + | 74.6374i | 0.0291414 | + | 0.0545197i | 0.896071 | − | 0.443912i | \(-0.146410\pi\) |
−0.866929 | + | 0.498431i | \(0.833910\pi\) | |||||||
\(38\) | 921.785 | − | 904.432i | 0.638355 | − | 0.626338i | ||||
\(39\) | −2210.69 | − | 1477.14i | −1.45345 | − | 0.971162i | ||||
\(40\) | 566.884 | + | 1487.11i | 0.354303 | + | 0.929444i | ||||
\(41\) | −891.856 | + | 595.919i | −0.530551 | + | 0.354503i | −0.791812 | − | 0.610765i | \(-0.790862\pi\) |
0.261260 | + | 0.965268i | \(0.415862\pi\) | |||||||
\(42\) | 2204.64 | + | 3368.33i | 1.24980 | + | 1.90948i | ||||
\(43\) | −105.156 | − | 86.2993i | −0.0568718 | − | 0.0466735i | 0.605528 | − | 0.795824i | \(-0.292962\pi\) |
−0.662400 | + | 0.749151i | \(0.730462\pi\) | |||||||
\(44\) | −1663.33 | + | 2974.49i | −0.859157 | + | 1.53641i | ||||
\(45\) | −714.688 | + | 1337.09i | −0.352932 | + | 0.660290i | ||||
\(46\) | 1230.52 | − | 360.543i | 0.581533 | − | 0.170389i | ||||
\(47\) | 903.327 | − | 2180.82i | 0.408930 | − | 0.987245i | −0.576490 | − | 0.817104i | \(-0.695578\pi\) |
0.985420 | − | 0.170140i | \(-0.0544221\pi\) | |||||||
\(48\) | −2633.50 | − | 1539.06i | −1.14301 | − | 0.667994i | ||||
\(49\) | −4373.23 | + | 1811.45i | −1.82142 | + | 0.754457i | ||||
\(50\) | 16.6222 | + | 20.6513i | 0.00664889 | + | 0.00826051i | ||||
\(51\) | 1221.32 | + | 4026.15i | 0.469557 | + | 1.54792i | ||||
\(52\) | −1101.14 | + | 3396.26i | −0.407227 | + | 1.25601i | ||||
\(53\) | −56.3753 | − | 572.388i | −0.0200695 | − | 0.203769i | −0.999990 | − | 0.00438257i | \(-0.998605\pi\) |
0.979921 | − | 0.199387i | \(-0.0638950\pi\) | |||||||
\(54\) | 177.350 | + | 938.094i | 0.0608195 | + | 0.321706i | ||||
\(55\) | 1033.32 | − | 5194.87i | 0.341595 | − | 1.71731i | ||||
\(56\) | 3547.14 | − | 4079.33i | 1.13110 | − | 1.30081i | ||||
\(57\) | −750.462 | − | 3772.83i | −0.230982 | − | 1.16123i | ||||
\(58\) | 1039.94 | − | 2444.68i | 0.309138 | − | 0.726717i | ||||
\(59\) | 5517.65 | + | 1673.76i | 1.58508 | + | 0.480827i | 0.955223 | − | 0.295887i | \(-0.0956152\pi\) |
0.629853 | + | 0.776715i | \(0.283115\pi\) | |||||||
\(60\) | 4631.18 | + | 1013.05i | 1.28644 | + | 0.281402i | ||||
\(61\) | 1205.52 | − | 989.346i | 0.323978 | − | 0.265882i | −0.458319 | − | 0.888788i | \(-0.651548\pi\) |
0.782297 | + | 0.622906i | \(0.214048\pi\) | |||||||
\(62\) | −345.590 | − | 661.597i | −0.0899036 | − | 0.172112i | ||||
\(63\) | 5149.77 | 1.29750 | ||||||||
\(64\) | −1026.69 | + | 3965.24i | −0.250658 | + | 0.968076i | ||||
\(65\) | − | 5548.95i | − | 1.31336i | ||||||
\(66\) | 4700.12 | + | 8997.91i | 1.07900 | + | 2.06564i | ||||
\(67\) | 590.365 | + | 719.362i | 0.131514 | + | 0.160250i | 0.834604 | − | 0.550851i | \(-0.185697\pi\) |
−0.703090 | + | 0.711101i | \(0.748197\pi\) | |||||||
\(68\) | 4756.39 | − | 3049.00i | 1.02863 | − | 0.659386i | ||||
\(69\) | 1108.75 | − | 3655.07i | 0.232882 | − | 0.767710i | ||||
\(70\) | −3288.81 | + | 7731.28i | −0.671185 | + | 1.57781i | ||||
\(71\) | 1946.01 | − | 387.085i | 0.386036 | − | 0.0767874i | 0.00174297 | − | 0.999998i | \(-0.499445\pi\) |
0.384293 | + | 0.923211i | \(0.374445\pi\) | |||||||
\(72\) | −3492.26 | + | 1740.55i | −0.673662 | + | 0.335755i | ||||
\(73\) | 8342.29 | + | 1659.39i | 1.56545 | + | 0.311388i | 0.900283 | − | 0.435305i | \(-0.143360\pi\) |
0.665169 | + | 0.746693i | \(0.268360\pi\) | |||||||
\(74\) | −62.8847 | − | 332.630i | −0.0114837 | − | 0.0607432i | ||||
\(75\) | 78.5864 | − | 7.74008i | 0.0139709 | − | 0.00137601i | ||||
\(76\) | −4601.06 | + | 2348.02i | −0.796583 | + | 0.406513i | ||||
\(77\) | −17216.5 | + | 5222.56i | −2.90377 | + | 0.880849i | ||||
\(78\) | 6668.42 | + | 8284.78i | 1.09606 | + | 1.36173i | ||||
\(79\) | −638.154 | − | 1540.64i | −0.102252 | − | 0.246858i | 0.864472 | − | 0.502682i | \(-0.167653\pi\) |
−0.966723 | + | 0.255824i | \(0.917653\pi\) | |||||||
\(80\) | −382.798 | − | 6354.46i | −0.0598121 | − | 0.992884i | ||||
\(81\) | 7189.90 | + | 2978.16i | 1.09585 | + | 0.453918i | ||||
\(82\) | 4117.41 | − | 1206.40i | 0.612345 | − | 0.179417i | ||||
\(83\) | −4543.68 | − | 2428.65i | −0.659556 | − | 0.352540i | 0.107422 | − | 0.994214i | \(-0.465741\pi\) |
−0.766978 | + | 0.641673i | \(0.778241\pi\) | |||||||
\(84\) | −4380.72 | − | 15495.4i | −0.620850 | − | 2.19606i | ||||
\(85\) | −5570.48 | + | 6787.65i | −0.771001 | + | 0.939468i | ||||
\(86\) | 297.994 | + | 455.286i | 0.0402913 | + | 0.0615584i | ||||
\(87\) | −4396.56 | − | 6579.92i | −0.580864 | − | 0.869324i | ||||
\(88\) | 9910.00 | − | 9360.55i | 1.27970 | − | 1.20875i | ||||
\(89\) | −8281.33 | + | 12393.9i | −1.04549 | + | 1.56469i | −0.241176 | + | 0.970481i | \(0.577533\pi\) |
−0.804314 | + | 0.594205i | \(0.797467\pi\) | |||||||
\(90\) | 4328.75 | − | 4247.26i | 0.534413 | − | 0.524353i | ||||
\(91\) | −16622.6 | + | 8884.97i | −2.00732 | + | 1.07293i | ||||
\(92\) | −5128.09 | − | 97.4627i | −0.605871 | − | 0.0115150i | ||||
\(93\) | −2212.70 | − | 217.932i | −0.255833 | − | 0.0251974i | ||||
\(94\) | −6059.04 | + | 7241.54i | −0.685722 | + | 0.819550i | ||||
\(95\) | 5676.85 | − | 5676.85i | 0.629013 | − | 0.629013i | ||||
\(96\) | 8207.96 | + | 9027.40i | 0.890621 | + | 0.979536i | ||||
\(97\) | 8113.61 | − | 8113.61i | 0.862325 | − | 0.862325i | −0.129283 | − | 0.991608i | \(-0.541268\pi\) |
0.991608 | + | 0.129283i | \(0.0412676\pi\) | |||||||
\(98\) | 18859.8 | − | 1676.76i | 1.96375 | − | 0.174589i | ||||
\(99\) | 12923.6 | + | 1272.86i | 1.31860 | + | 0.129871i | ||||
\(100\) | −38.7106 | − | 98.7212i | −0.00387106 | − | 0.00987212i | ||||
\(101\) | 9787.84 | − | 5231.71i | 0.959498 | − | 0.512862i | 0.0842012 | − | 0.996449i | \(-0.473166\pi\) |
0.875297 | + | 0.483587i | \(0.160666\pi\) | |||||||
\(102\) | 159.904 | − | 16828.5i | 0.0153694 | − | 1.61750i | ||||
\(103\) | −2194.99 | + | 3285.04i | −0.206899 | + | 0.309646i | −0.920378 | − | 0.391031i | \(-0.872119\pi\) |
0.713479 | + | 0.700677i | \(0.247119\pi\) | |||||||
\(104\) | 8269.45 | − | 11643.5i | 0.764557 | − | 1.07650i | ||||
\(105\) | 13904.1 | + | 20809.0i | 1.26114 | + | 1.88744i | ||||
\(106\) | −470.250 | + | 2252.06i | −0.0418521 | + | 0.200432i | ||||
\(107\) | −11537.7 | + | 14058.7i | −1.00775 | + | 1.22794i | −0.0342082 | + | 0.999415i | \(0.510891\pi\) |
−0.973538 | + | 0.228527i | \(0.926609\pi\) | |||||||
\(108\) | 446.462 | − | 3792.66i | 0.0382769 | − | 0.325159i | ||||
\(109\) | −5776.64 | − | 3087.68i | −0.486209 | − | 0.259884i | 0.210029 | − | 0.977695i | \(-0.432644\pi\) |
−0.696238 | + | 0.717811i | \(0.745144\pi\) | |||||||
\(110\) | −10164.4 | + | 18589.2i | −0.840030 | + | 1.53629i | ||||
\(111\) | −931.618 | − | 385.889i | −0.0756122 | − | 0.0313196i | ||||
\(112\) | −18422.7 | + | 11321.5i | −1.46864 | + | 0.902540i | ||||
\(113\) | −4456.33 | − | 10758.5i | −0.348996 | − | 0.842551i | −0.996739 | − | 0.0806921i | \(-0.974287\pi\) |
0.647743 | − | 0.761859i | \(-0.275713\pi\) | |||||||
\(114\) | −1653.61 | + | 15297.8i | −0.127240 | + | 1.17712i | ||||
\(115\) | 7628.24 | − | 2314.00i | 0.576805 | − | 0.174972i | ||||
\(116\) | −6896.38 | + | 8084.96i | −0.512513 | + | 0.600844i | ||||
\(117\) | 13539.2 | − | 1333.50i | 0.989060 | − | 0.0974139i | ||||
\(118\) | −19054.2 | − | 12995.1i | −1.36844 | − | 0.933291i | ||||
\(119\) | 29252.7 | + | 5818.73i | 2.06573 | + | 0.410898i | ||||
\(120\) | −16462.1 | − | 9411.98i | −1.14320 | − | 0.653610i | ||||
\(121\) | −30136.8 | + | 5994.57i | −2.05838 | + | 0.409438i | ||||
\(122\) | −5785.64 | + | 2332.33i | −0.388715 | + | 0.156701i | ||||
\(123\) | 3709.95 | − | 12230.1i | 0.245221 | − | 0.808386i | ||||
\(124\) | 526.728 | + | 2938.85i | 0.0342565 | + | 0.191132i | ||||
\(125\) | 9964.25 | + | 12141.5i | 0.637712 | + | 0.777054i | ||||
\(126\) | −19654.4 | − | 6166.62i | −1.23799 | − | 0.388424i | ||||
\(127\) | − | 30744.4i | − | 1.90616i | −0.302721 | − | 0.953079i | \(-0.597895\pi\) | ||
0.302721 | − | 0.953079i | \(-0.402105\pi\) | |||||||
\(128\) | 8666.63 | − | 13904.1i | 0.528969 | − | 0.848641i | ||||
\(129\) | 1620.86 | 0.0974014 | ||||||||
\(130\) | −6644.63 | + | 21177.9i | −0.393173 | + | 1.25313i | ||||
\(131\) | −5181.96 | + | 4252.73i | −0.301962 | + | 0.247814i | −0.773156 | − | 0.634216i | \(-0.781323\pi\) |
0.471194 | + | 0.882029i | \(0.343823\pi\) | |||||||
\(132\) | −7163.65 | − | 39969.2i | −0.411137 | − | 2.29392i | ||||
\(133\) | −26095.5 | − | 7915.98i | −1.47524 | − | 0.447508i | ||||
\(134\) | −1391.76 | − | 3452.42i | −0.0775093 | − | 0.192271i | ||||
\(135\) | 1157.91 | + | 5821.18i | 0.0635339 | + | 0.319406i | ||||
\(136\) | −21804.1 | + | 5941.11i | −1.17885 | + | 0.321211i | ||||
\(137\) | 3385.98 | − | 17022.5i | 0.180403 | − | 0.906946i | −0.779455 | − | 0.626458i | \(-0.784504\pi\) |
0.959858 | − | 0.280487i | \(-0.0904961\pi\) | |||||||
\(138\) | −8608.39 | + | 12622.1i | −0.452027 | + | 0.662785i | ||||
\(139\) | 439.943 | + | 4466.81i | 0.0227702 | + | 0.231189i | 0.999834 | + | 0.0182410i | \(0.00580663\pi\) |
−0.977063 | + | 0.212948i | \(0.931693\pi\) | |||||||
\(140\) | 21809.8 | − | 25568.7i | 1.11274 | − | 1.30452i | ||||
\(141\) | 8164.42 | + | 26914.5i | 0.410664 | + | 1.35378i | ||||
\(142\) | −7890.57 | − | 852.927i | −0.391319 | − | 0.0422995i | ||||
\(143\) | −43911.4 | + | 18188.7i | −2.14736 | + | 0.889466i | ||||
\(144\) | 15412.6 | − | 2461.09i | 0.743280 | − | 0.118687i | ||||
\(145\) | 6320.38 | − | 15258.7i | 0.300612 | − | 0.725743i | ||||
\(146\) | −29851.8 | − | 16322.7i | −1.40044 | − | 0.765747i | ||||
\(147\) | 26587.0 | − | 49740.8i | 1.23037 | − | 2.30186i | ||||
\(148\) | −158.307 | + | 1344.80i | −0.00722729 | + | 0.0613953i | ||||
\(149\) | −4457.58 | − | 3658.24i | −0.200783 | − | 0.164778i | 0.528629 | − | 0.848853i | \(-0.322706\pi\) |
−0.729412 | + | 0.684075i | \(0.760206\pi\) | |||||||
\(150\) | −309.198 | − | 64.5633i | −0.0137421 | − | 0.00286948i | ||||
\(151\) | 19993.8 | − | 13359.4i | 0.876884 | − | 0.585915i | −0.0336114 | − | 0.999435i | \(-0.510701\pi\) |
0.910495 | + | 0.413520i | \(0.135701\pi\) | |||||||
\(152\) | 20371.9 | − | 3451.78i | 0.881746 | − | 0.149402i | ||||
\(153\) | −17900.3 | − | 11960.6i | −0.764676 | − | 0.510940i | ||||
\(154\) | 71961.4 | + | 683.774i | 3.03430 | + | 0.0288318i | ||||
\(155\) | −2187.44 | − | 4092.40i | −0.0910483 | − | 0.170339i | ||||
\(156\) | −15529.7 | − | 39604.5i | −0.638139 | − | 1.62740i | ||||
\(157\) | −1590.16 | + | 16145.2i | −0.0645122 | + | 0.655004i | 0.907497 | + | 0.420059i | \(0.137991\pi\) |
−0.972009 | + | 0.234944i | \(0.924509\pi\) | |||||||
\(158\) | 590.702 | + | 6644.10i | 0.0236621 | + | 0.266147i | ||||
\(159\) | 4845.83 | + | 4845.83i | 0.191679 | + | 0.191679i | ||||
\(160\) | −6148.21 | + | 24710.5i | −0.240165 | + | 0.965255i | ||||
\(161\) | −19146.2 | − | 19146.2i | −0.738637 | − | 0.738637i | ||||
\(162\) | −23874.5 | − | 19975.9i | −0.909711 | − | 0.761160i | ||||
\(163\) | −3443.94 | + | 34967.0i | −0.129623 | + | 1.31608i | 0.681765 | + | 0.731572i | \(0.261213\pi\) |
−0.811387 | + | 0.584509i | \(0.801287\pi\) | |||||||
\(164\) | −17158.9 | − | 326.116i | −0.637973 | − | 0.0121251i | ||||
\(165\) | 29749.7 | + | 55657.8i | 1.09274 | + | 2.04437i | ||||
\(166\) | 14433.0 | + | 14709.9i | 0.523771 | + | 0.533820i | ||||
\(167\) | 38941.0 | + | 26019.5i | 1.39628 | + | 0.932967i | 0.999889 | + | 0.0148867i | \(0.00473876\pi\) |
0.396395 | + | 0.918080i | \(0.370261\pi\) | |||||||
\(168\) | −1835.78 | + | 64384.7i | −0.0650434 | + | 2.28120i | ||||
\(169\) | −17654.1 | + | 11796.1i | −0.618120 | + | 0.413015i | ||||
\(170\) | 29388.0 | − | 19235.0i | 1.01688 | − | 0.665573i | ||||
\(171\) | 15215.5 | + | 12487.1i | 0.520349 | + | 0.427039i | ||||
\(172\) | −592.127 | − | 2094.46i | −0.0200151 | − | 0.0707970i | ||||
\(173\) | 13126.8 | − | 24558.6i | 0.438600 | − | 0.820562i | −0.561376 | − | 0.827561i | \(-0.689728\pi\) |
0.999976 | + | 0.00699877i | \(0.00222779\pi\) | |||||||
\(174\) | 8900.56 | + | 30377.3i | 0.293981 | + | 1.00335i | ||||
\(175\) | 214.225 | − | 517.186i | 0.00699511 | − | 0.0168877i | ||||
\(176\) | −49030.9 | + | 23858.3i | −1.58287 | + | 0.770218i | ||||
\(177\) | −63471.7 | + | 26290.9i | −2.02597 | + | 0.839186i | ||||
\(178\) | 46447.3 | − | 37385.4i | 1.46595 | − | 1.17995i | ||||
\(179\) | −16352.3 | − | 53906.4i | −0.510356 | − | 1.68242i | −0.711360 | − | 0.702828i | \(-0.751920\pi\) |
0.201004 | − | 0.979590i | \(-0.435580\pi\) | |||||||
\(180\) | −21606.8 | + | 11026.4i | −0.666877 | + | 0.340321i | ||||
\(181\) | 2985.45 | + | 30311.8i | 0.0911281 | + | 0.925239i | 0.926686 | + | 0.375837i | \(0.122645\pi\) |
−0.835558 | + | 0.549402i | \(0.814855\pi\) | |||||||
\(182\) | 74080.5 | − | 14005.1i | 2.23646 | − | 0.422810i | ||||
\(183\) | −3625.11 | + | 18224.6i | −0.108248 | + | 0.544198i | ||||
\(184\) | 19455.0 | + | 6512.64i | 0.574638 | + | 0.192363i | ||||
\(185\) | −410.570 | − | 2064.08i | −0.0119962 | − | 0.0603090i | ||||
\(186\) | 8183.94 | + | 3481.36i | 0.236557 | + | 0.100629i | ||||
\(187\) | 71973.0 | + | 21832.8i | 2.05819 | + | 0.624347i | ||||
\(188\) | 31796.1 | − | 20382.3i | 0.899618 | − | 0.576684i | ||||
\(189\) | 15584.1 | − | 12789.5i | 0.436272 | − | 0.358039i | ||||
\(190\) | −28463.8 | + | 14868.2i | −0.788470 | + | 0.411862i | ||||
\(191\) | 39753.1 | 1.08969 | 0.544847 | − | 0.838535i | \(-0.316588\pi\) | ||||
0.544847 | + | 0.838535i | \(0.316588\pi\) | |||||||
\(192\) | −20516.2 | − | 44282.3i | −0.556538 | − | 1.20123i | ||||
\(193\) | − | 21565.7i | − | 0.578960i | −0.957184 | − | 0.289480i | \(-0.906518\pi\) | ||
0.957184 | − | 0.289480i | \(-0.0934823\pi\) | |||||||
\(194\) | −40681.7 | + | 21250.4i | −1.08093 | + | 0.564629i | ||||
\(195\) | 41943.6 | + | 51108.4i | 1.10305 | + | 1.34407i | ||||
\(196\) | −73987.4 | − | 16184.4i | −1.92595 | − | 0.421292i | ||||
\(197\) | 14217.0 | − | 46867.3i | 0.366334 | − | 1.20764i | −0.559219 | − | 0.829020i | \(-0.688899\pi\) |
0.925552 | − | 0.378620i | \(-0.123601\pi\) | |||||||
\(198\) | −47799.5 | − | 20333.4i | −1.21925 | − | 0.518657i | ||||
\(199\) | 31385.5 | − | 6242.96i | 0.792543 | − | 0.157647i | 0.217814 | − | 0.975990i | \(-0.430107\pi\) |
0.574729 | + | 0.818344i | \(0.305107\pi\) | |||||||
\(200\) | 29.5271 | + | 423.129i | 0.000738177 | + | 0.0105782i | ||||
\(201\) | −10875.1 | − | 2163.18i | −0.269178 | − | 0.0535429i | ||||
\(202\) | −43620.6 | + | 8246.60i | −1.06903 | + | 0.202103i | ||||
\(203\) | −55829.7 | + | 5498.74i | −1.35479 | + | 0.133436i | ||||
\(204\) | −20761.7 | + | 64035.4i | −0.498887 | + | 1.53872i | ||||
\(205\) | 25524.6 | − | 7742.80i | 0.607366 | − | 0.184243i | ||||
\(206\) | 12311.0 | − | 9909.13i | 0.290107 | − | 0.233508i | ||||
\(207\) | 7479.26 | + | 18056.5i | 0.174549 | + | 0.421399i | ||||
\(208\) | −45503.3 | + | 34535.6i | −1.05176 | + | 0.798253i | ||||
\(209\) | −63531.3 | − | 26315.5i | −1.45444 | − | 0.602448i | ||||
\(210\) | −28148.0 | − | 96068.2i | −0.638276 | − | 2.17842i | ||||
\(211\) | 24377.5 | + | 13030.1i | 0.547551 | + | 0.292672i | 0.721884 | − | 0.692015i | \(-0.243277\pi\) |
−0.174332 | + | 0.984687i | \(0.555777\pi\) | |||||||
\(212\) | 4491.48 | − | 8032.00i | 0.0999349 | − | 0.178711i | ||||
\(213\) | −14997.7 | + | 18274.8i | −0.330572 | + | 0.402803i | ||||
\(214\) | 60868.9 | − | 39840.0i | 1.32913 | − | 0.869944i | ||||
\(215\) | 1879.37 | + | 2812.68i | 0.0406570 | + | 0.0608476i | ||||
\(216\) | −6245.49 | + | 13940.3i | −0.133862 | + | 0.298788i | ||||
\(217\) | −8756.81 | + | 13105.5i | −0.185963 | + | 0.278313i | ||||
\(218\) | 18349.5 | + | 18701.6i | 0.386111 | + | 0.393519i | ||||
\(219\) | −89379.3 | + | 47774.3i | −1.86358 | + | 0.996106i | ||||
\(220\) | 61052.6 | − | 58775.2i | 1.26142 | − | 1.21436i | ||||
\(221\) | 78415.0 | + | 7723.20i | 1.60552 | + | 0.158129i | ||||
\(222\) | 3093.49 | + | 2588.34i | 0.0627686 | + | 0.0525188i | ||||
\(223\) | −58724.8 | + | 58724.8i | −1.18090 | + | 1.18090i | −0.201385 | + | 0.979512i | \(0.564544\pi\) |
−0.979512 | + | 0.201385i | \(0.935456\pi\) | |||||||
\(224\) | 83868.1 | − | 21148.7i | 1.67148 | − | 0.421489i | ||||
\(225\) | −285.718 | + | 285.718i | −0.00564381 | + | 0.00564381i | ||||
\(226\) | 4124.97 | + | 46396.8i | 0.0807613 | + | 0.908388i | ||||
\(227\) | −96152.1 | − | 9470.16i | −1.86598 | − | 0.183783i | −0.898883 | − | 0.438188i | \(-0.855620\pi\) |
−0.967098 | + | 0.254405i | \(0.918120\pi\) | |||||||
\(228\) | 24629.6 | − | 56404.9i | 0.473792 | − | 1.08504i | ||||
\(229\) | −40094.7 | + | 21431.0i | −0.764567 | + | 0.408670i | −0.807092 | − | 0.590426i | \(-0.798960\pi\) |
0.0425247 | + | 0.999095i | \(0.486460\pi\) | |||||||
\(230\) | −31884.5 | − | 302.965i | −0.602732 | − | 0.00572714i | ||||
\(231\) | 119095. | − | 178238.i | 2.23187 | − | 3.34024i | ||||
\(232\) | 36001.8 | − | 22598.6i | 0.668880 | − | 0.419861i | ||||
\(233\) | 14939.4 | + | 22358.5i | 0.275184 | + | 0.411842i | 0.943159 | − | 0.332342i | \(-0.107839\pi\) |
−0.667975 | + | 0.744183i | \(0.732839\pi\) | |||||||
\(234\) | −53270.1 | − | 11123.3i | −0.972863 | − | 0.203143i | ||||
\(235\) | −37238.2 | + | 45374.9i | −0.674300 | + | 0.821637i | ||||
\(236\) | 57160.2 | + | 72413.2i | 1.02629 | + | 1.30015i | ||||
\(237\) | 17523.1 | + | 9366.30i | 0.311971 | + | 0.166752i | ||||
\(238\) | −104677. | − | 57236.4i | −1.84798 | − | 1.01046i | ||||
\(239\) | 13762.3 | + | 5700.54i | 0.240933 | + | 0.0997976i | 0.499883 | − | 0.866093i | \(-0.333376\pi\) |
−0.258950 | + | 0.965891i | \(0.583376\pi\) | |||||||
\(240\) | 51558.0 | + | 55634.0i | 0.895104 | + | 0.965867i | ||||
\(241\) | 33883.7 | + | 81802.4i | 0.583387 | + | 1.40842i | 0.889725 | + | 0.456497i | \(0.150896\pi\) |
−0.306338 | + | 0.951923i | \(0.599104\pi\) | |||||||
\(242\) | 122197. | + | 13208.8i | 2.08655 | + | 0.225545i | ||||
\(243\) | −70233.2 | + | 21305.0i | −1.18941 | + | 0.360802i | ||||
\(244\) | 24874.1 | − | 1973.44i | 0.417799 | − | 0.0331470i | ||||
\(245\) | 117143. | − | 11537.6i | 1.95157 | − | 0.192213i | ||||
\(246\) | −28804.2 | + | 42234.3i | −0.475977 | + | 0.697903i | ||||
\(247\) | −70657.3 | − | 14054.6i | −1.15815 | − | 0.230369i | ||||
\(248\) | 1508.86 | − | 11847.0i | 0.0245327 | − | 0.192622i | ||||
\(249\) | 60207.1 | − | 11975.9i | 0.971067 | − | 0.193157i | ||||
\(250\) | −23490.2 | − | 58270.4i | −0.375844 | − | 0.932326i | ||||
\(251\) | −11596.9 | + | 38230.0i | −0.184076 | + | 0.606816i | 0.815530 | + | 0.578715i | \(0.196446\pi\) |
−0.999605 | + | 0.0281004i | \(0.991054\pi\) | |||||||
\(252\) | 67627.8 | + | 47070.5i | 1.06494 | + | 0.741221i | ||||
\(253\) | −43316.0 | − | 52780.7i | −0.676718 | − | 0.824583i | ||||
\(254\) | −36815.1 | + | 117338.i | −0.570635 | + | 1.81874i | ||||
\(255\) | − | 104624.i | − | 1.60898i | ||||||
\(256\) | −49726.3 | + | 42688.0i | −0.758763 | + | 0.651367i | ||||
\(257\) | −44547.6 | −0.674463 | −0.337231 | − | 0.941422i | \(-0.609490\pi\) | ||||
−0.337231 | + | 0.941422i | \(0.609490\pi\) | |||||||
\(258\) | −6186.09 | − | 1940.90i | −0.0929344 | − | 0.0291585i | ||||
\(259\) | −5525.80 | + | 4534.91i | −0.0823751 | + | 0.0676035i | ||||
\(260\) | 50719.2 | − | 72870.0i | 0.750284 | − | 1.07796i | ||||
\(261\) | 38749.6 | + | 11754.6i | 0.568835 | + | 0.172554i | ||||
\(262\) | 24869.7 | − | 10025.6i | 0.362300 | − | 0.146052i | ||||
\(263\) | 12116.3 | + | 60913.0i | 0.175170 | + | 0.880640i | 0.963974 | + | 0.265995i | \(0.0857005\pi\) |
−0.788804 | + | 0.614644i | \(0.789299\pi\) | |||||||
\(264\) | −20520.9 | + | 161123.i | −0.294435 | + | 2.31180i | ||||
\(265\) | −2790.28 | + | 14027.7i | −0.0397334 | + | 0.199753i | ||||
\(266\) | 90115.8 | + | 61459.9i | 1.27361 | + | 0.868618i | ||||
\(267\) | −17408.4 | − | 176750.i | −0.244195 | − | 2.47935i | ||||
\(268\) | 1177.60 | + | 14842.9i | 0.0163956 | + | 0.206657i | ||||
\(269\) | −16308.3 | − | 53761.1i | −0.225374 | − | 0.742957i | −0.994582 | − | 0.103959i | \(-0.966849\pi\) |
0.769208 | − | 0.638998i | \(-0.220651\pi\) | |||||||
\(270\) | 2551.40 | − | 23603.4i | 0.0349986 | − | 0.323778i | ||||
\(271\) | 36127.1 | − | 14964.3i | 0.491920 | − | 0.203760i | −0.122913 | − | 0.992418i | \(-0.539223\pi\) |
0.614833 | + | 0.788657i | \(0.289223\pi\) | |||||||
\(272\) | 90330.7 | + | 3434.82i | 1.22095 | + | 0.0464266i | ||||
\(273\) | 85941.9 | − | 207482.i | 1.15313 | − | 2.78391i | ||||
\(274\) | −33306.4 | + | 60912.6i | −0.443636 | + | 0.811346i | ||||
\(275\) | 665.442 | − | 1244.95i | 0.00879923 | − | 0.0164622i | ||||
\(276\) | 47968.8 | − | 37864.7i | 0.629710 | − | 0.497069i | ||||
\(277\) | 38983.5 | + | 31992.9i | 0.508067 | + | 0.416960i | 0.853192 | − | 0.521597i | \(-0.174663\pi\) |
−0.345125 | + | 0.938557i | \(0.612163\pi\) | |||||||
\(278\) | 3669.74 | − | 17574.6i | 0.0474839 | − | 0.227403i | ||||
\(279\) | 9459.64 | − | 6320.73i | 0.121525 | − | 0.0812005i | ||||
\(280\) | −113856. | + | 71468.0i | −1.45224 | + | 0.911581i | ||||
\(281\) | −54423.0 | − | 36364.3i | −0.689239 | − | 0.460535i | 0.160984 | − | 0.986957i | \(-0.448533\pi\) |
−0.850223 | + | 0.526422i | \(0.823533\pi\) | |||||||
\(282\) | 1068.94 | − | 112497.i | 0.0134418 | − | 1.41463i | ||||
\(283\) | −35394.6 | − | 66218.6i | −0.441941 | − | 0.826813i | 0.558055 | − | 0.829804i | \(-0.311548\pi\) |
−0.999996 | + | 0.00299126i | \(0.999048\pi\) | |||||||
\(284\) | 29093.4 | + | 12703.8i | 0.360710 | + | 0.157507i | ||||
\(285\) | −9376.05 | + | 95196.6i | −0.115433 | + | 1.17201i | ||||
\(286\) | 189370. | − | 16836.2i | 2.31515 | − | 0.205832i | ||||
\(287\) | −64064.4 | − | 64064.4i | −0.777774 | − | 0.777774i | ||||
\(288\) | −61770.3 | − | 9063.09i | −0.744723 | − | 0.109268i | ||||
\(289\) | −29108.2 | − | 29108.2i | −0.348513 | − | 0.348513i | ||||
\(290\) | −42393.7 | + | 50667.5i | −0.504087 | + | 0.602467i | ||||
\(291\) | −13400.7 | + | 136059.i | −0.158249 | + | 1.60673i | ||||
\(292\) | 94385.4 | + | 98042.6i | 1.10698 | + | 1.14987i | ||||
\(293\) | −13001.9 | − | 24324.9i | −0.151451 | − | 0.283345i | 0.794742 | − | 0.606947i | \(-0.207606\pi\) |
−0.946193 | + | 0.323602i | \(0.895106\pi\) | |||||||
\(294\) | −161033. | + | 158002.i | −1.86303 | + | 1.82796i | ||||
\(295\) | −119218. | − | 79658.7i | −1.36992 | − | 0.915354i | ||||
\(296\) | 2214.53 | − | 4942.95i | 0.0252754 | − | 0.0564160i | ||||
\(297\) | 42270.2 | − | 28244.0i | 0.479205 | − | 0.320194i | ||||
\(298\) | 12632.0 | + | 19299.6i | 0.142246 | + | 0.217329i | ||||
\(299\) | −55295.0 | − | 45379.4i | −0.618506 | − | 0.507594i | ||||
\(300\) | 1102.76 | + | 616.660i | 0.0122529 | + | 0.00685178i | ||||
\(301\) | 5416.50 | − | 10133.6i | 0.0597841 | − | 0.111848i | ||||
\(302\) | −92304.9 | + | 27045.4i | −1.01207 | + | 0.296537i | ||||
\(303\) | −50604.9 | + | 122171.i | −0.551197 | + | 1.33071i | ||||
\(304\) | −81883.7 | − | 11220.5i | −0.886034 | − | 0.121413i | ||||
\(305\) | −35828.6 | + | 14840.7i | −0.385150 | + | 0.159534i | ||||
\(306\) | 53995.2 | + | 67083.1i | 0.576650 | + | 0.716424i | ||||
\(307\) | 25566.2 | + | 84280.6i | 0.271263 | + | 0.894234i | 0.981694 | + | 0.190467i | \(0.0610001\pi\) |
−0.710431 | + | 0.703767i | \(0.751500\pi\) | |||||||
\(308\) | −273826. | − | 88780.2i | −2.88651 | − | 0.935868i | ||||
\(309\) | −4614.15 | − | 46848.3i | −0.0483253 | − | 0.490655i | ||||
\(310\) | 3448.00 | + | 18238.2i | 0.0358793 | + | 0.189784i | ||||
\(311\) | −25583.8 | + | 128618.i | −0.264511 | + | 1.32979i | 0.588755 | + | 0.808312i | \(0.299618\pi\) |
−0.853266 | + | 0.521476i | \(0.825382\pi\) | |||||||
\(312\) | 11845.5 | + | 169749.i | 0.121687 | + | 1.74380i | ||||
\(313\) | −7049.77 | − | 35441.6i | −0.0719592 | − | 0.361763i | 0.927982 | − | 0.372626i | \(-0.121542\pi\) |
−0.999941 | + | 0.0108622i | \(0.996542\pi\) | |||||||
\(314\) | 25402.1 | − | 59714.9i | 0.257638 | − | 0.605652i | ||||
\(315\) | −122546. | − | 37173.8i | −1.23503 | − | 0.374642i | ||||
\(316\) | 5701.57 | − | 26064.9i | 0.0570979 | − | 0.261025i | ||||
\(317\) | 77107.2 | − | 63280.2i | 0.767320 | − | 0.629723i | −0.167082 | − | 0.985943i | \(-0.553435\pi\) |
0.934402 | + | 0.356220i | \(0.115935\pi\) | |||||||
\(318\) | −12691.7 | − | 24297.0i | −0.125506 | − | 0.240270i | ||||
\(319\) | −141467. | −1.39018 | ||||||||
\(320\) | 53054.8 | − | 86946.9i | 0.518113 | − | 0.849091i | ||||
\(321\) | − | 216698.i | − | 2.10303i | ||||||
\(322\) | 50145.8 | + | 95999.3i | 0.483641 | + | 0.925884i | ||||
\(323\) | 72321.0 | + | 88123.4i | 0.693202 | + | 0.844669i | ||||
\(324\) | 67198.0 | + | 104828.i | 0.640127 | + | 0.998587i | ||||
\(325\) | 429.297 | − | 1415.20i | 0.00406435 | − | 0.0133984i | ||||
\(326\) | 55015.4 | − | 129329.i | 0.517665 | − | 1.21692i | ||||
\(327\) | 76544.8 | − | 15225.7i | 0.715847 | − | 0.142391i | ||||
\(328\) | 65097.5 | + | 21791.7i | 0.605085 | + | 0.202555i | ||||
\(329\) | 195552. | + | 38897.7i | 1.80664 | + | 0.359362i | ||||
\(330\) | −46893.7 | − | 248045.i | −0.430613 | − | 2.27773i | ||||
\(331\) | −82582.3 | + | 8133.65i | −0.753757 | + | 0.0742386i | −0.467595 | − | 0.883943i | \(-0.654879\pi\) |
−0.286162 | + | 0.958181i | \(0.592379\pi\) | |||||||
\(332\) | −37469.9 | − | 73424.2i | −0.339944 | − | 0.666136i | ||||
\(333\) | 4937.60 | − | 1497.81i | 0.0445274 | − | 0.0135073i | ||||
\(334\) | −117463. | − | 145935.i | −1.05295 | − | 1.30818i | ||||
\(335\) | −8855.78 | − | 21379.7i | −0.0789109 | − | 0.190508i | ||||
\(336\) | 84104.2 | − | 243530.i | 0.744971 | − | 2.15711i | ||||
\(337\) | −47070.7 | − | 19497.3i | −0.414468 | − | 0.171678i | 0.165698 | − | 0.986177i | \(-0.447012\pi\) |
−0.580166 | + | 0.814498i | \(0.697012\pi\) | |||||||
\(338\) | 81503.3 | − | 23880.5i | 0.713414 | − | 0.209031i | ||||
\(339\) | 122367. | + | 65406.4i | 1.06479 | + | 0.569142i | ||||
\(340\) | −135194. | + | 38220.8i | −1.16950 | + | 0.330630i | ||||
\(341\) | −25214.9 | + | 30724.5i | −0.216845 | + | 0.264226i | ||||
\(342\) | −43118.2 | − | 65877.5i | −0.368645 | − | 0.563229i | ||||
\(343\) | −109460. | − | 163818.i | −0.930391 | − | 1.39243i | ||||
\(344\) | −248.137 | + | 8702.66i | −0.00209688 | + | 0.0735420i | ||||
\(345\) | −52768.5 | + | 78973.6i | −0.443339 | + | 0.663504i | ||||
\(346\) | −79507.2 | + | 78010.5i | −0.664132 | + | 0.651629i | ||||
\(347\) | −56437.0 | + | 30166.2i | −0.468711 | + | 0.250531i | −0.688804 | − | 0.724948i | \(-0.741864\pi\) |
0.220093 | + | 0.975479i | \(0.429364\pi\) | |||||||
\(348\) | 2406.01 | − | 126595.i | 0.0198673 | − | 1.04534i | ||||
\(349\) | 187807. | + | 18497.4i | 1.54192 | + | 0.151866i | 0.832939 | − | 0.553365i | \(-0.186657\pi\) |
0.708978 | + | 0.705231i | \(0.249157\pi\) | |||||||
\(350\) | −1436.91 | + | 1717.34i | −0.0117299 | + | 0.0140191i | ||||
\(351\) | 37660.3 | − | 37660.3i | 0.305681 | − | 0.305681i | ||||
\(352\) | 215699. | − | 32344.0i | 1.74085 | − | 0.261041i | ||||
\(353\) | −97689.8 | + | 97689.8i | −0.783971 | + | 0.783971i | −0.980498 | − | 0.196528i | \(-0.937033\pi\) |
0.196528 | + | 0.980498i | \(0.437033\pi\) | |||||||
\(354\) | 273726. | − | 24335.9i | 2.18428 | − | 0.194196i | ||||
\(355\) | −49102.0 | − | 4836.13i | −0.389621 | − | 0.0383744i | ||||
\(356\) | −222036. | + | 87065.0i | −1.75196 | + | 0.686979i | ||||
\(357\) | −313414. | + | 167523.i | −2.45913 | + | 1.31443i | ||||
\(358\) | −2140.96 | + | 225318.i | −0.0167049 | + | 1.75804i | ||||
\(359\) | 13575.9 | − | 20317.8i | 0.105337 | − | 0.157648i | −0.775056 | − | 0.631892i | \(-0.782279\pi\) |
0.880393 | + | 0.474244i | \(0.157279\pi\) | |||||||
\(360\) | 95667.2 | − | 16209.7i | 0.738173 | − | 0.125075i | ||||
\(361\) | 14495.2 | + | 21693.6i | 0.111227 | + | 0.166463i | ||||
\(362\) | 24902.9 | − | 119261.i | 0.190034 | − | 0.910087i | ||||
\(363\) | 232261. | − | 283011.i | 1.76264 | − | 2.14778i | ||||
\(364\) | −299503. | − | 35256.7i | −2.26047 | − | 0.266096i | ||||
\(365\) | −186538. | − | 99706.4i | −1.40017 | − | 0.748406i | ||||
\(366\) | 35658.6 | − | 65214.5i | 0.266197 | − | 0.486835i | ||||
\(367\) | 121468. | + | 50313.8i | 0.901843 | + | 0.373556i | 0.784928 | − | 0.619586i | \(-0.212700\pi\) |
0.116914 | + | 0.993142i | \(0.462700\pi\) | |||||||
\(368\) | −66452.3 | − | 48152.3i | −0.490698 | − | 0.355567i | ||||
\(369\) | 25026.1 | + | 60418.3i | 0.183798 | + | 0.443727i | ||||
\(370\) | −904.676 | + | 8369.30i | −0.00660830 | + | 0.0611344i | ||||
\(371\) | 46489.5 | − | 14102.4i | 0.337759 | − | 0.102458i | ||||
\(372\) | −27065.7 | − | 23086.7i | −0.195584 | − | 0.166831i | ||||
\(373\) | −8566.66 | + | 843.742i | −0.0615735 | + | 0.00606446i | −0.128757 | − | 0.991676i | \(-0.541099\pi\) |
0.0671835 | + | 0.997741i | \(0.478599\pi\) | |||||||
\(374\) | −248545. | − | 169511.i | −1.77690 | − | 1.21186i | ||||
\(375\) | −183551. | − | 36510.5i | −1.30525 | − | 0.259630i | ||||
\(376\) | −145758. | + | 39715.9i | −1.03100 | + | 0.280924i | ||||
\(377\) | −145358. | + | 28913.5i | −1.02272 | + | 0.203431i | ||||
\(378\) | −74792.3 | + | 30150.7i | −0.523448 | + | 0.211015i | ||||
\(379\) | −27595.6 | + | 90970.6i | −0.192115 | + | 0.633319i | 0.806971 | + | 0.590591i | \(0.201105\pi\) |
−0.999087 | + | 0.0427288i | \(0.986395\pi\) | |||||||
\(380\) | 126438. | − | 22661.3i | 0.875607 | − | 0.156934i | ||||
\(381\) | 232392. | + | 283170.i | 1.60092 | + | 1.95073i | ||||
\(382\) | −151720. | − | 47602.6i | −1.03972 | − | 0.326215i | ||||
\(383\) | 227395.i | 1.55018i | 0.631849 | + | 0.775092i | \(0.282296\pi\) | ||||
−0.631849 | + | 0.775092i | \(0.717704\pi\) | |||||||
\(384\) | 25275.3 | + | 193573.i | 0.171409 | + | 1.31275i | ||||
\(385\) | 447388. | 3.01830 | ||||||||
\(386\) | −25823.9 | + | 82306.6i | −0.173320 | + | 0.552408i | ||||
\(387\) | −6411.19 | + | 5261.53i | −0.0428072 | + | 0.0351309i | ||||
\(388\) | 180711. | − | 32388.6i | 1.20038 | − | 0.215144i | ||||
\(389\) | −78869.3 | − | 23924.8i | −0.521206 | − | 0.158106i | 0.0187103 | − | 0.999825i | \(-0.494044\pi\) |
−0.539916 | + | 0.841719i | \(0.681544\pi\) | |||||||
\(390\) | −98880.0 | − | 245284.i | −0.650098 | − | 1.61265i | ||||
\(391\) | 22083.1 | + | 111019.i | 0.144446 | + | 0.726180i | ||||
\(392\) | 262997. | + | 150365.i | 1.71151 | + | 0.978532i | ||||
\(393\) | 15582.6 | − | 78339.1i | 0.100892 | − | 0.507217i | ||||
\(394\) | −110382. | + | 161847.i | −0.711057 | + | 1.04259i | ||||
\(395\) | 4064.55 | + | 41268.1i | 0.0260507 | + | 0.264497i | ||||
\(396\) | 158081. | + | 134841.i | 1.00807 | + | 0.859870i | ||||
\(397\) | −807.694 | − | 2662.61i | −0.00512467 | − | 0.0168938i | 0.954341 | − | 0.298720i | \(-0.0965597\pi\) |
−0.959465 | + | 0.281826i | \(0.909060\pi\) | |||||||
\(398\) | −127260. | − | 13756.1i | −0.803390 | − | 0.0868420i | ||||
\(399\) | 300187. | − | 124341.i | 1.88558 | − | 0.781034i | ||||
\(400\) | 393.987 | − | 1650.25i | 0.00246242 | − | 0.0103141i | ||||
\(401\) | −49962.1 | + | 120619.i | −0.310707 | + | 0.750114i | 0.688972 | + | 0.724788i | \(0.258062\pi\) |
−0.999679 | + | 0.0253260i | \(0.991938\pi\) | |||||||
\(402\) | 38915.0 | + | 21278.3i | 0.240805 | + | 0.131670i | ||||
\(403\) | −19628.9 | + | 36723.1i | −0.120861 | + | 0.226115i | ||||
\(404\) | 176355. | + | 20760.1i | 1.08050 | + | 0.127194i | ||||
\(405\) | −149595. | − | 122770.i | −0.912028 | − | 0.748482i | ||||
\(406\) | 219662. | + | 45867.3i | 1.33261 | + | 0.278260i | ||||
\(407\) | −14988.2 | + | 10014.8i | −0.0904815 | + | 0.0604578i | ||||
\(408\) | 155918. | − | 219534.i | 0.936645 | − | 1.31881i | ||||
\(409\) | 180482. | + | 120594.i | 1.07892 | + | 0.720909i | 0.962224 | − | 0.272259i | \(-0.0877709\pi\) |
0.116692 | + | 0.993168i | \(0.462771\pi\) | |||||||
\(410\) | −106688. | − | 1013.74i | −0.634668 | − | 0.00603059i | ||||
\(411\) | 97483.4 | + | 182379.i | 0.577095 | + | 1.07967i | ||||
\(412\) | −58851.4 | + | 23076.9i | −0.346707 | + | 0.135951i | ||||
\(413\) | −47736.9 | + | 484681.i | −0.279869 | + | 2.84156i | ||||
\(414\) | −6923.12 | − | 77869.9i | −0.0403925 | − | 0.454327i | ||||
\(415\) | 90591.7 | + | 90591.7i | 0.526008 | + | 0.526008i | ||||
\(416\) | 215021. | − | 77318.9i | 1.24249 | − | 0.446786i | ||||
\(417\) | −37815.9 | − | 37815.9i | −0.217472 | − | 0.217472i | ||||
\(418\) | 210959. | + | 176511.i | 1.20739 | + | 1.01023i | ||||
\(419\) | −11760.5 | + | 119407.i | −0.0669883 | + | 0.680144i | 0.901783 | + | 0.432189i | \(0.142259\pi\) |
−0.968772 | + | 0.247955i | \(0.920241\pi\) | |||||||
\(420\) | −7609.01 | + | 400356.i | −0.0431350 | + | 2.26959i | ||||
\(421\) | −131308. | − | 245661.i | −0.740846 | − | 1.38603i | −0.915876 | − | 0.401462i | \(-0.868502\pi\) |
0.175029 | − | 0.984563i | \(-0.443998\pi\) | |||||||
\(422\) | −77435.3 | − | 78921.0i | −0.434825 | − | 0.443167i | ||||
\(423\) | −119662. | − | 79955.6i | −0.668768 | − | 0.446856i | ||||
\(424\) | −26759.9 | + | 25276.2i | −0.148852 | + | 0.140599i | ||||
\(425\) | −1945.82 | + | 1300.16i | −0.0107727 | + | 0.00719810i | ||||
\(426\) | 79122.8 | − | 51787.6i | 0.435996 | − | 0.285369i | ||||
\(427\) | 101826. | + | 83566.3i | 0.558473 | + | 0.458327i | ||||
\(428\) | −280016. | + | 79163.7i | −1.52861 | + | 0.432154i | ||||
\(429\) | 266959. | − | 499445.i | 1.45054 | − | 2.71377i | ||||
\(430\) | −3804.67 | − | 12985.2i | −0.0205769 | − | 0.0702283i | ||||
\(431\) | −82969.4 | + | 200306.i | −0.446646 | + | 1.07830i | 0.526924 | + | 0.849912i | \(0.323345\pi\) |
−0.973570 | + | 0.228387i | \(0.926655\pi\) | |||||||
\(432\) | 40529.1 | − | 45725.1i | 0.217170 | − | 0.245012i | ||||
\(433\) | 101468. | − | 42029.3i | 0.541193 | − | 0.224169i | −0.0953047 | − | 0.995448i | \(-0.530383\pi\) |
0.636498 | + | 0.771279i | \(0.280383\pi\) | |||||||
\(434\) | 49114.1 | − | 39531.9i | 0.260751 | − | 0.209879i | ||||
\(435\) | 57124.6 | + | 188315.i | 0.301887 | + | 0.995189i | ||||
\(436\) | −47637.7 | − | 93348.4i | −0.250598 | − | 0.491059i | ||||
\(437\) | −10144.1 | − | 102995.i | −0.0531191 | − | 0.539327i | ||||
\(438\) | 398329. | − | 75305.3i | 2.07632 | − | 0.392534i | ||||
\(439\) | 67275.8 | − | 338218.i | 0.349084 | − | 1.75496i | −0.263596 | − | 0.964633i | \(-0.584909\pi\) |
0.612680 | − | 0.790331i | \(-0.290091\pi\) | |||||||
\(440\) | −303391. | + | 151211.i | −1.56710 | + | 0.781048i | ||||
\(441\) | 56302.5 | + | 283052.i | 0.289501 | + | 1.45542i | ||||
\(442\) | −290027. | − | 123374.i | −1.48455 | − | 0.631511i | ||||
\(443\) | 211199. | + | 64066.5i | 1.07618 | + | 0.326455i | 0.778135 | − | 0.628097i | \(-0.216166\pi\) |
0.298044 | + | 0.954552i | \(0.403666\pi\) | |||||||
\(444\) | −8707.05 | − | 13582.9i | −0.0441677 | − | 0.0689009i | ||||
\(445\) | 286531. | − | 235150.i | 1.44694 | − | 1.18748i | ||||
\(446\) | 294447. | − | 153806.i | 1.48026 | − | 0.773222i | ||||
\(447\) | 68708.4 | 0.343870 | ||||||||
\(448\) | −345412. | − | 19713.3i | −1.72100 | − | 0.0982208i | ||||
\(449\) | − | 197158.i | − | 0.977960i | −0.872295 | − | 0.488980i | \(-0.837369\pi\) | ||
0.872295 | − | 0.488980i | \(-0.162631\pi\) | |||||||
\(450\) | 1432.59 | − | 748.324i | 0.00707453 | − | 0.00369543i | ||||
\(451\) | −144938. | − | 176608.i | −0.712574 | − | 0.868273i | ||||
\(452\) | 39815.0 | − | 182015.i | 0.194881 | − | 0.890905i | ||||
\(453\) | −83170.5 | + | 274176.i | −0.405297 | + | 1.33608i | ||||
\(454\) | 355630. | + | 151281.i | 1.72539 | + | 0.733962i | ||||
\(455\) | 459694. | − | 91438.7i | 2.22047 | − | 0.441680i | ||||
\(456\) | −161543. | + | 185780.i | −0.776887 | + | 0.893447i | ||||
\(457\) | −250236. | − | 49775.1i | −1.19817 | − | 0.238330i | −0.444617 | − | 0.895721i | \(-0.646660\pi\) |
−0.753550 | + | 0.657390i | \(0.771660\pi\) | |||||||
\(458\) | 178686. | − | 33781.2i | 0.851844 | − | 0.161044i | ||||
\(459\) | −83873.5 | + | 8260.82i | −0.398107 | + | 0.0392101i | ||||
\(460\) | 121326. | + | 39336.6i | 0.573376 | + | 0.185901i | ||||
\(461\) | 23289.7 | − | 7064.84i | 0.109588 | − | 0.0332430i | −0.235015 | − | 0.971992i | \(-0.575514\pi\) |
0.344602 | + | 0.938749i | \(0.388014\pi\) | |||||||
\(462\) | −667966. | + | 537646.i | −3.12947 | + | 2.51891i | ||||
\(463\) | 2339.85 | + | 5648.90i | 0.0109151 | + | 0.0263513i | 0.929243 | − | 0.369469i | \(-0.120460\pi\) |
−0.918328 | + | 0.395820i | \(0.870460\pi\) | |||||||
\(464\) | −164464. | + | 43138.2i | −0.763896 | + | 0.200367i | ||||
\(465\) | 51081.0 | + | 21158.5i | 0.236240 | + | 0.0978539i | ||||
\(466\) | −30244.0 | − | 103222.i | −0.139273 | − | 0.475334i | ||||
\(467\) | 18259.8 | + | 9760.08i | 0.0837265 | + | 0.0447527i | 0.512729 | − | 0.858551i | \(-0.328635\pi\) |
−0.429002 | + | 0.903303i | \(0.641135\pi\) | |||||||
\(468\) | 189989. | + | 106241.i | 0.867433 | + | 0.485066i | ||||
\(469\) | −49865.9 | + | 60761.8i | −0.226704 | + | 0.276239i | ||||
\(470\) | 196456. | − | 128585.i | 0.889344 | − | 0.582095i | ||||
\(471\) | −107393. | − | 160724.i | −0.484097 | − | 0.724502i | ||||
\(472\) | −131443. | − | 344816.i | −0.590004 | − | 1.54776i | ||||
\(473\) | 16097.7 | − | 24091.9i | 0.0719517 | − | 0.107683i | ||||
\(474\) | −55662.2 | − | 56730.2i | −0.247744 | − | 0.252498i | ||||
\(475\) | 1887.01 | − | 1008.63i | 0.00836349 | − | 0.00447038i | ||||
\(476\) | 330968. | + | 343792.i | 1.46074 | + | 1.51734i | ||||
\(477\) | −34897.6 | − | 3437.11i | −0.153376 | − | 0.0151063i | ||||
\(478\) | −45698.5 | − | 38236.2i | −0.200007 | − | 0.167347i | ||||
\(479\) | −170673. | + | 170673.i | −0.743862 | + | 0.743862i | −0.973319 | − | 0.229456i | \(-0.926305\pi\) |
0.229456 | + | 0.973319i | \(0.426305\pi\) | |||||||
\(480\) | −130155. | − | 274069.i | −0.564908 | − | 1.18953i | ||||
\(481\) | −13353.6 | + | 13353.6i | −0.0577175 | + | 0.0577175i | ||||
\(482\) | −31364.1 | − | 352778.i | −0.135002 | − | 1.51847i | ||||
\(483\) | 321068. | + | 31622.5i | 1.37627 | + | 0.135551i | ||||
\(484\) | −450554. | − | 196738.i | −1.92334 | − | 0.839840i | ||||
\(485\) | −251643. | + | 134506.i | −1.06980 | + | 0.571817i | ||||
\(486\) | 293561. | + | 2789.40i | 1.24287 | + | 0.0118097i | ||||
\(487\) | 87449.0 | − | 130877.i | 0.368720 | − | 0.551829i | −0.599995 | − | 0.800004i | \(-0.704831\pi\) |
0.968715 | + | 0.248175i | \(0.0798307\pi\) | |||||||
\(488\) | −97296.4 | − | 22253.9i | −0.408561 | − | 0.0934471i | ||||
\(489\) | −232589. | − | 348094.i | −0.972683 | − | 1.45572i | ||||
\(490\) | −460898. | − | 96239.7i | −1.91961 | − | 0.400832i | ||||
\(491\) | −270755. | + | 329916.i | −1.12309 | + | 1.36849i | −0.201881 | + | 0.979410i | \(0.564705\pi\) |
−0.921206 | + | 0.389075i | \(0.872795\pi\) | |||||||
\(492\) | 160507. | − | 126698.i | 0.663075 | − | 0.523406i | ||||
\(493\) | 206832. | + | 110554.i | 0.850988 | + | 0.454862i | ||||
\(494\) | 252838. | + | 138249.i | 1.03607 | + | 0.566511i | ||||
\(495\) | −298346. | − | 123579.i | −1.21762 | − | 0.504353i | ||||
\(496\) | −19944.9 | + | 43408.0i | −0.0810717 | + | 0.176444i | ||||
\(497\) | 64134.8 | + | 154835.i | 0.259646 | + | 0.626840i | ||||
\(498\) | −244125. | − | 26388.5i | −0.984357 | − | 0.106404i | ||||
\(499\) | 71669.4 | − | 21740.7i | 0.287828 | − | 0.0873115i | −0.143069 | − | 0.989713i | \(-0.545697\pi\) |
0.430897 | + | 0.902401i | \(0.358197\pi\) | |||||||
\(500\) | 19875.6 | + | 250521.i | 0.0795025 | + | 1.00208i | ||||
\(501\) | −555341. | + | 54696.3i | −2.21251 | + | 0.217913i | ||||
\(502\) | 90039.1 | − | 132020.i | 0.357292 | − | 0.523881i | ||||
\(503\) | 102961. | + | 20480.2i | 0.406945 | + | 0.0809465i | 0.394319 | − | 0.918974i | \(-0.370981\pi\) |
0.0126268 | + | 0.999920i | \(0.495981\pi\) | |||||||
\(504\) | −201740. | − | 260629.i | −0.794204 | − | 1.02603i | ||||
\(505\) | −270680. | + | 53841.6i | −1.06139 | + | 0.211123i | ||||
\(506\) | 102115. | + | 253310.i | 0.398832 | + | 0.989352i | ||||
\(507\) | 73437.9 | − | 242092.i | 0.285696 | − | 0.941813i | ||||
\(508\) | 281014. | − | 403742.i | 1.08893 | − | 1.56450i | ||||
\(509\) | −196584. | − | 239538.i | −0.758772 | − | 0.924567i | 0.240161 | − | 0.970733i | \(-0.422800\pi\) |
−0.998934 | + | 0.0461661i | \(0.985300\pi\) | |||||||
\(510\) | −125282. | + | 399302.i | −0.481670 | + | 1.53519i | ||||
\(511\) | 718447.i | 2.75140i | ||||||||
\(512\) | 240900. | − | 103376.i | 0.918961 | − | 0.394349i | ||||
\(513\) | 77056.5 | 0.292802 | ||||||||
\(514\) | 170018. | + | 53343.8i | 0.643531 | + | 0.201910i | ||||
\(515\) | 75945.9 | − | 62327.2i | 0.286345 | − | 0.234997i | ||||
\(516\) | 21285.4 | + | 14815.1i | 0.0799434 | + | 0.0556424i | ||||
\(517\) | 481134. | + | 145950.i | 1.80005 | + | 0.546039i | ||||
\(518\) | 26519.9 | − | 10690.8i | 0.0988353 | − | 0.0398430i | ||||
\(519\) | 64730.0 | + | 325420.i | 0.240309 | + | 1.20812i | ||||
\(520\) | −280831. | + | 217378.i | −1.03858 | + | 0.803914i | ||||
\(521\) | −16777.5 | + | 84346.3i | −0.0618091 | + | 0.310735i | −0.999306 | − | 0.0372593i | \(-0.988137\pi\) |
0.937497 | + | 0.347995i | \(0.113137\pi\) | |||||||
\(522\) | −133815. | − | 91263.0i | −0.491091 | − | 0.334930i | ||||
\(523\) | −39398.3 | − | 400017.i | −0.144037 | − | 1.46243i | −0.747086 | − | 0.664727i | \(-0.768548\pi\) |
0.603049 | − | 0.797704i | \(-0.293952\pi\) | |||||||
\(524\) | −106922. | + | 8482.89i | −0.389407 | + | 0.0308945i | ||||
\(525\) | 1936.20 | + | 6382.81i | 0.00702478 | + | 0.0231576i | ||||
\(526\) | 26697.9 | − | 246987.i | 0.0964951 | − | 0.892692i | ||||
\(527\) | 60876.3 | − | 25215.8i | 0.219193 | − | 0.0907927i | ||||
\(528\) | 271257. | − | 590362.i | 0.973000 | − | 2.11763i | ||||
\(529\) | −67765.5 | + | 163600.i | −0.242157 | + | 0.584619i | ||||
\(530\) | 27446.8 | − | 50196.2i | 0.0977102 | − | 0.178698i | ||||
\(531\) | 165714. | − | 310030.i | 0.587721 | − | 1.09955i | ||||
\(532\) | −270336. | − | 342475.i | −0.955171 | − | 1.21006i | ||||
\(533\) | −185021. | − | 151842.i | −0.651277 | − | 0.534489i | ||||
\(534\) | −145211. | + | 695424.i | −0.509232 | + | 2.43875i | ||||
\(535\) | 376038. | − | 251260.i | 1.31378 | − | 0.877842i | ||||
\(536\) | 13279.4 | − | 58059.0i | 0.0462220 | − | 0.202088i | ||||
\(537\) | 558081. | + | 372898.i | 1.93530 | + | 1.29313i | ||||
\(538\) | −2135.19 | + | 224711.i | −0.00737687 | + | 0.776353i | ||||
\(539\) | −475280. | − | 889186.i | −1.63596 | − | 3.06066i | ||||
\(540\) | −38001.6 | + | 87028.5i | −0.130321 | + | 0.298452i | ||||
\(541\) | 20445.2 | − | 207584.i | 0.0698551 | − | 0.709250i | −0.894929 | − | 0.446208i | \(-0.852774\pi\) |
0.964784 | − | 0.263042i | \(-0.0847259\pi\) | |||||||
\(542\) | −155800. | + | 13851.6i | −0.530359 | + | 0.0471522i | ||||
\(543\) | −256619. | − | 256619.i | −0.870339 | − | 0.870339i | ||||
\(544\) | −340639. | − | 121276.i | −1.15106 | − | 0.409806i | ||||
\(545\) | 115174. | + | 115174.i | 0.387760 | + | 0.387760i | ||||
\(546\) | −576453. | + | 688955.i | −1.93365 | + | 2.31103i | ||||
\(547\) | −2963.42 | + | 30088.1i | −0.00990419 | + | 0.100559i | −0.998866 | − | 0.0476125i | \(-0.984839\pi\) |
0.988962 | + | 0.148171i | \(0.0473387\pi\) | |||||||
\(548\) | 200056. | − | 192593.i | 0.666178 | − | 0.641328i | ||||
\(549\) | −44820.9 | − | 83854.0i | −0.148709 | − | 0.278214i | ||||
\(550\) | −4030.47 | + | 3954.60i | −0.0133239 | + | 0.0130731i | ||||
\(551\) | −178288. | − | 119128.i | −0.587244 | − | 0.392384i | ||||
\(552\) | −228417. | + | 87072.2i | −0.749635 | + | 0.285760i | ||||
\(553\) | 117116. | − | 78254.3i | 0.382970 | − | 0.255893i | ||||
\(554\) | −110473. | − | 168784.i | −0.359944 | − | 0.549935i | ||||
\(555\) | 19383.5 | + | 15907.7i | 0.0629284 | + | 0.0516440i | ||||
\(556\) | −35050.7 | + | 62680.3i | −0.113383 | + | 0.202760i | ||||
\(557\) | −41599.8 | + | 77827.7i | −0.134085 | + | 0.250856i | −0.939999 | − | 0.341177i | \(-0.889174\pi\) |
0.805914 | + | 0.592033i | \(0.201674\pi\) | |||||||
\(558\) | −43672.0 | + | 12795.9i | −0.140260 | + | 0.0410963i | ||||
\(559\) | 11616.5 | − | 28044.7i | 0.0371750 | − | 0.0897483i | ||||
\(560\) | 520116. | − | 136424.i | 1.65853 | − | 0.435027i | ||||
\(561\) | −827934. | + | 342942.i | −2.63069 | + | 1.08967i | ||||
\(562\) | 164164. | + | 203956.i | 0.519762 | + | 0.645748i | ||||
\(563\) | −47584.9 | − | 156866.i | −0.150125 | − | 0.494895i | 0.849332 | − | 0.527860i | \(-0.177005\pi\) |
−0.999457 | + | 0.0329642i | \(0.989505\pi\) | |||||||
\(564\) | −138790. | + | 428072.i | −0.436315 | + | 1.34573i | ||||
\(565\) | 28383.4 | + | 288182.i | 0.0889135 | + | 0.902754i | ||||
\(566\) | 55791.5 | + | 295110.i | 0.174155 | + | 0.921195i | ||||
\(567\) | −128241. | + | 644711.i | −0.398897 | + | 2.00539i | ||||
\(568\) | −95824.5 | − | 83323.1i | −0.297016 | − | 0.258267i | ||||
\(569\) | −44234.1 | − | 222380.i | −0.136626 | − | 0.686865i | −0.987004 | − | 0.160693i | \(-0.948627\pi\) |
0.850379 | − | 0.526171i | \(-0.176373\pi\) | |||||||
\(570\) | 149778. | − | 352096.i | 0.460997 | − | 1.08371i | ||||
\(571\) | 230350. | + | 69876.0i | 0.706507 | + | 0.214317i | 0.623036 | − | 0.782193i | \(-0.285899\pi\) |
0.0834718 | + | 0.996510i | \(0.473399\pi\) | |||||||
\(572\) | −742903. | − | 162506.i | −2.27060 | − | 0.496682i | ||||
\(573\) | −366145. | + | 300487.i | −1.11518 | + | 0.915201i | ||||
\(574\) | 167791. | + | 321220.i | 0.509267 | + | 0.974941i | ||||
\(575\) | 2124.53 | 0.00642579 | ||||||||
\(576\) | 224897. | + | 108557.i | 0.677858 | + | 0.327200i | ||||
\(577\) | 168719.i | 0.506770i | 0.967365 | + | 0.253385i | \(0.0815440\pi\) | ||||
−0.967365 | + | 0.253385i | \(0.918456\pi\) | |||||||
\(578\) | 76237.2 | + | 145949.i | 0.228198 | + | 0.436862i | ||||
\(579\) | 163011. | + | 198630.i | 0.486251 | + | 0.592498i | ||||
\(580\) | 222470. | − | 142611.i | 0.661326 | − | 0.423931i | ||||
\(581\) | 126324. | − | 416434.i | 0.374226 | − | 1.23366i | ||||
\(582\) | 214070. | − | 503232.i | 0.631988 | − | 1.48567i | ||||
\(583\) | 120154. | − | 23900.0i | 0.353508 | − | 0.0703171i | ||||
\(584\) | −242825. | − | 487207.i | −0.711981 | − | 1.42853i | ||||
\(585\) | −331810. | − | 66001.1i | −0.969567 | − | 0.192859i | ||||
\(586\) | 20494.6 | + | 108407.i | 0.0596821 | + | 0.315690i | ||||
\(587\) | −280861. | + | 27662.4i | −0.815108 | + | 0.0802812i | −0.496975 | − | 0.867765i | \(-0.665556\pi\) |
−0.318133 | + | 0.948046i | \(0.603056\pi\) | |||||||
\(588\) | 803793. | − | 410192.i | 2.32482 | − | 1.18641i | ||||
\(589\) | −57650.8 | + | 17488.2i | −0.166178 | + | 0.0504097i | ||||
\(590\) | 359613. | + | 446780.i | 1.03307 | + | 1.28348i | ||||
\(591\) | 223316. | + | 539133.i | 0.639360 | + | 1.54355i | ||||
\(592\) | −14370.8 | + | 16213.2i | −0.0410051 | + | 0.0462622i | ||||
\(593\) | −316314. | − | 131021.i | −0.899515 | − | 0.372591i | −0.115482 | − | 0.993310i | \(-0.536841\pi\) |
−0.784034 | + | 0.620718i | \(0.786841\pi\) | |||||||
\(594\) | −195148. | + | 57178.3i | −0.553083 | + | 0.162053i | ||||
\(595\) | −654105. | − | 349626.i | −1.84762 | − | 0.987575i | ||||
\(596\) | −25100.4 | − | 88784.5i | −0.0706623 | − | 0.249945i | ||||
\(597\) | −241885. | + | 294738.i | −0.678673 | + | 0.826966i | ||||
\(598\) | 156697. | + | 239407.i | 0.438185 | + | 0.669474i | ||||
\(599\) | −215133. | − | 321970.i | −0.599589 | − | 0.897349i | 0.400229 | − | 0.916415i | \(-0.368931\pi\) |
−0.999818 | + | 0.0190666i | \(0.993931\pi\) | |||||||
\(600\) | −3470.32 | − | 3674.02i | −0.00963977 | − | 0.0102056i | ||||
\(601\) | −190057. | + | 284440.i | −0.526181 | + | 0.787485i | −0.995421 | − | 0.0955855i | \(-0.969528\pi\) |
0.469241 | + | 0.883070i | \(0.344528\pi\) | |||||||
\(602\) | −32806.8 | + | 32189.3i | −0.0905256 | + | 0.0888215i | ||||
\(603\) | 50037.6 | − | 26745.7i | 0.137614 | − | 0.0735561i | ||||
\(604\) | 384672. | + | 7310.94i | 1.05443 | + | 0.0200401i | ||||
\(605\) | 760416. | + | 74894.5i | 2.07750 | + | 0.204616i | ||||
\(606\) | 339431. | − | 405675.i | 0.924285 | − | 1.10467i | ||||
\(607\) | 169711. | − | 169711.i | 0.460611 | − | 0.460611i | −0.438245 | − | 0.898856i | \(-0.644400\pi\) |
0.898856 | + | 0.438245i | \(0.144400\pi\) | |||||||
\(608\) | 299078. | + | 140876.i | 0.809053 | + | 0.381091i | ||||
\(609\) | 472653. | − | 472653.i | 1.27441 | − | 1.27441i | ||||
\(610\) | 154513. | − | 13737.2i | 0.415246 | − | 0.0369179i | ||||
\(611\) | 524198. | + | 51629.0i | 1.40415 | + | 0.138296i | ||||
\(612\) | −125747. | − | 320683.i | −0.335733 | − | 0.856196i | ||||
\(613\) | 358503. | − | 191624.i | 0.954051 | − | 0.509951i | 0.0805381 | − | 0.996752i | \(-0.474336\pi\) |
0.873513 | + | 0.486801i | \(0.161836\pi\) | |||||||
\(614\) | 3347.31 | − | 352276.i | 0.00887891 | − | 0.934429i | ||||
\(615\) | −176567. | + | 264251.i | −0.466829 | + | 0.698660i | ||||
\(616\) | 938761. | + | 666729.i | 2.47397 | + | 1.75707i | ||||
\(617\) | 208965. | + | 312739.i | 0.548914 | + | 0.821508i | 0.997384 | − | 0.0722903i | \(-0.0230308\pi\) |
−0.448470 | + | 0.893798i | \(0.648031\pi\) | |||||||
\(618\) | −38488.6 | + | 184324.i | −0.100775 | + | 0.482620i | ||||
\(619\) | 387801. | − | 472536.i | 1.01211 | − | 1.23326i | 0.0398850 | − | 0.999204i | \(-0.487301\pi\) |
0.972224 | − | 0.234054i | \(-0.0751992\pi\) | |||||||
\(620\) | 8680.02 | − | 73736.1i | 0.0225807 | − | 0.191821i | ||||
\(621\) | 67477.1 | + | 36067.3i | 0.174974 | + | 0.0935255i | ||||
\(622\) | 251657. | − | 460244.i | 0.650471 | − | 1.18962i | ||||
\(623\) | −1.16321e6 | − | 481819.i | −2.99698 | − | 1.24139i | ||||
\(624\) | 158058. | − | 662041.i | 0.405926 | − | 1.70026i | ||||
\(625\) | −147884. | − | 357023.i | −0.378582 | − | 0.913979i | ||||
\(626\) | −15533.9 | + | 143707.i | −0.0396398 | + | 0.366714i | ||||
\(627\) | 784067. | − | 237844.i | 1.99443 | − | 0.605003i | ||||
\(628\) | −168454. | + | 197487.i | −0.427133 | + | 0.500749i | ||||
\(629\) | 29739.9 | − | 2929.13i | 0.0751689 | − | 0.00740349i | ||||
\(630\) | 423188. | + | 288619.i | 1.06623 | + | 0.727183i | ||||
\(631\) | −65411.3 | − | 13011.1i | −0.164283 | − | 0.0326780i | 0.112263 | − | 0.993679i | \(-0.464190\pi\) |
−0.276547 | + | 0.961000i | \(0.589190\pi\) | |||||||
\(632\) | −52971.9 | + | 92650.8i | −0.132621 | + | 0.231961i | ||||
\(633\) | −323020. | + | 64252.7i | −0.806162 | + | 0.160356i | ||||
\(634\) | −370059. | + | 149180.i | −0.920646 | + | 0.371135i | ||||
\(635\) | −221930. | + | 731605.i | −0.550387 | + | 1.81438i | ||||
\(636\) | 19344.0 | + | 107929.i | 0.0478224 | + | 0.266823i | ||||
\(637\) | −670088. | − | 816505.i | −1.65140 | − | 2.01224i | ||||
\(638\) | 539915. | + | 169400.i | 1.32643 | + | 0.416171i | ||||
\(639\) | − | 120969.i | − | 0.296260i | ||||||
\(640\) | −306602. | + | 268307.i | −0.748539 | + | 0.655046i | ||||
\(641\) | −104497. | −0.254324 | −0.127162 | − | 0.991882i | \(-0.540587\pi\) | ||||
−0.127162 | + | 0.991882i | \(0.540587\pi\) | |||||||
\(642\) | −259487. | + | 827042.i | −0.629572 | + | 2.00658i | ||||
\(643\) | 389988. | − | 320055.i | 0.943255 | − | 0.774109i | −0.0310092 | − | 0.999519i | \(-0.509872\pi\) |
0.974264 | + | 0.225410i | \(0.0723721\pi\) | |||||||
\(644\) | −76429.5 | − | 426434.i | −0.184285 | − | 1.02821i | ||||
\(645\) | −38570.4 | − | 11700.2i | −0.0927118 | − | 0.0281238i | ||||
\(646\) | −170493. | − | 422929.i | −0.408547 | − | 1.01345i | ||||
\(647\) | −21957.1 | − | 110386.i | −0.0524525 | − | 0.263696i | 0.945656 | − | 0.325168i | \(-0.105421\pi\) |
−0.998109 | + | 0.0614713i | \(0.980421\pi\) | |||||||
\(648\) | −130938. | − | 480547.i | −0.311829 | − | 1.14442i | ||||
\(649\) | −239597. | + | 1.20453e6i | −0.568841 | + | 2.85976i | ||||
\(650\) | −3333.08 | + | 4887.14i | −0.00788895 | + | 0.0115672i | ||||
\(651\) | −18407.9 | − | 186899.i | −0.0434353 | − | 0.441006i | ||||
\(652\) | −364835. | + | 427714.i | −0.858226 | + | 1.00614i | ||||
\(653\) | 23198.3 | + | 76474.6i | 0.0544039 | + | 0.179346i | 0.979932 | − | 0.199335i | \(-0.0638780\pi\) |
−0.925528 | + | 0.378680i | \(0.876378\pi\) | |||||||
\(654\) | −310370. | − | 33549.2i | −0.725644 | − | 0.0784381i | ||||
\(655\) | 154010. | − | 63793.1i | 0.358977 | − | 0.148693i | ||||
\(656\) | −222354. | − | 161121.i | −0.516698 | − | 0.374407i | ||||
\(657\) | 198452. | − | 479106.i | 0.459753 | − | 1.10994i | ||||
\(658\) | −699757. | − | 382620.i | −1.61620 | − | 0.883723i | ||||
\(659\) | 217204. | − | 406361.i | 0.500147 | − | 0.935709i | −0.497521 | − | 0.867452i | \(-0.665756\pi\) |
0.997668 | − | 0.0682571i | \(-0.0217438\pi\) | |||||||
\(660\) | −118051. | + | 1.00283e6i | −0.271007 | + | 2.30219i | ||||
\(661\) | −269594. | − | 221250.i | −0.617032 | − | 0.506385i | 0.273161 | − | 0.961968i | \(-0.411931\pi\) |
−0.890193 | + | 0.455583i | \(0.849431\pi\) | |||||||
\(662\) | 324920. | + | 67846.2i | 0.741413 | + | 0.154814i | ||||
\(663\) | −780616. | + | 521591.i | −1.77587 | + | 1.18660i | ||||
\(664\) | 55083.9 | + | 325096.i | 0.124936 | + | 0.737353i | ||||
\(665\) | 563835. | + | 376742.i | 1.27500 | + | 0.851924i | ||||
\(666\) | −20638.2 | − | 196.103i | −0.0465289 | − | 0.000442116i | ||||
\(667\) | −100364. | − | 187768.i | −0.225594 | − | 0.422057i | ||||
\(668\) | 273554. | + | 697626.i | 0.613041 | + | 1.56340i | ||||
\(669\) | 96991.7 | − | 984773.i | 0.216712 | − | 2.20031i | ||||
\(670\) | 8197.28 | + | 92201.4i | 0.0182608 | + | 0.205394i | ||||
\(671\) | 234882. | + | 234882.i | 0.521681 | + | 0.521681i | ||||
\(672\) | −612604. | + | 828733.i | −1.35657 | + | 1.83517i | ||||
\(673\) | 42017.9 | + | 42017.9i | 0.0927694 | + | 0.0927694i | 0.751968 | − | 0.659199i | \(-0.229105\pi\) |
−0.659199 | + | 0.751968i | \(0.729105\pi\) | |||||||
\(674\) | 156301. | + | 130778.i | 0.344066 | + | 0.287882i | ||||
\(675\) | −155.047 | + | 1574.21i | −0.000340294 | + | 0.00345506i | ||||
\(676\) | −339658. | − | 6455.41i | −0.743273 | − | 0.0141264i | ||||
\(677\) | −274145. | − | 512890.i | −0.598141 | − | 1.11904i | −0.980775 | − | 0.195143i | \(-0.937483\pi\) |
0.382634 | − | 0.923900i | \(-0.375017\pi\) | |||||||
\(678\) | −388698. | − | 396156.i | −0.845577 | − | 0.861800i | ||||
\(679\) | 805859. | + | 538458.i | 1.74791 | + | 1.16792i | ||||
\(680\) | 561743. | + | 16016.8i | 1.21484 | + | 0.0346385i | ||||
\(681\) | 957188. | − | 639573.i | 2.06397 | − | 1.37910i | ||||
\(682\) | 133025. | − | 87067.9i | 0.286000 | − | 0.187193i | ||||
\(683\) | −90852.1 | − | 74560.4i | −0.194757 | − | 0.159833i | 0.531961 | − | 0.846769i | \(-0.321455\pi\) |
−0.726718 | + | 0.686936i | \(0.758955\pi\) | |||||||
\(684\) | 85677.6 | + | 303057.i | 0.183128 | + | 0.647757i | ||||
\(685\) | −203451. | + | 380630.i | −0.433590 | + | 0.811189i | ||||
\(686\) | 221594. | + | 756293.i | 0.470879 | + | 1.60710i | ||||
\(687\) | 207297. | − | 500458.i | 0.439217 | − | 1.06036i | ||||
\(688\) | 11368.1 | − | 32917.1i | 0.0240165 | − | 0.0695415i | ||||
\(689\) | 118574. | − | 49114.8i | 0.249776 | − | 0.103460i | ||||
\(690\) | 295961. | − | 238219.i | 0.621636 | − | 0.500355i | ||||
\(691\) | 59348.9 | + | 195647.i | 0.124296 | + | 0.409748i | 0.996900 | − | 0.0786799i | \(-0.0250705\pi\) |
−0.872604 | + | 0.488428i | \(0.837570\pi\) | |||||||
\(692\) | 396858. | − | 202525.i | 0.828748 | − | 0.422928i | ||||
\(693\) | 107514. | + | 1.09161e6i | 0.223872 | + | 2.27301i | ||||
\(694\) | 251518. | − | 47550.2i | 0.522215 | − | 0.0987264i | ||||
\(695\) | 21774.8 | − | 109469.i | 0.0450801 | − | 0.226633i | ||||
\(696\) | −160774. | + | 480275.i | −0.331893 | + | 0.991451i | ||||
\(697\) | 73891.3 | + | 371477.i | 0.152100 | + | 0.764656i | ||||
\(698\) | −694626. | − | 295487.i | −1.42574 | − | 0.606495i | ||||
\(699\) | −306603. | − | 93007.0i | −0.627512 | − | 0.190354i | ||||
\(700\) | 7540.49 | − | 4833.70i | 0.0153888 | − | 0.00986469i | ||||
\(701\) | −737890. | + | 605571.i | −1.50161 | + | 1.23234i | −0.599832 | + | 0.800126i | \(0.704766\pi\) |
−0.901773 | + | 0.432209i | \(0.857734\pi\) | |||||||
\(702\) | −188829. | + | 98636.0i | −0.383173 | + | 0.200153i | ||||
\(703\) | −27322.7 | −0.0552857 | ||||||||
\(704\) | −861956. | − | 134847.i | −1.73916 | − | 0.272079i | ||||
\(705\) | − | 699401.i | − | 1.40717i | ||||||
\(706\) | 489818. | − | 255859.i | 0.982709 | − | 0.513324i | ||||
\(707\) | 594701. | + | 724645.i | 1.18976 | + | 1.44973i | ||||
\(708\) | −1.07383e6 | − | 234895.i | −2.14224 | − | 0.468605i | ||||
\(709\) | 242538. | − | 799542.i | 0.482490 | − | 1.59056i | −0.290985 | − | 0.956728i | \(-0.593983\pi\) |
0.773475 | − | 0.633827i | \(-0.218517\pi\) | |||||||
\(710\) | 181610. | + | 77254.9i | 0.360265 | + | 0.153253i | ||||
\(711\) | −99715.9 | + | 19834.7i | −0.197254 | + | 0.0392362i | ||||
\(712\) | 951669. | − | 66410.0i | 1.87727 | − | 0.131001i | ||||
\(713\) | −58669.4 | − | 11670.1i | −0.115407 | − | 0.0229559i | ||||
\(714\) | 1.39676e6 | − | 264062.i | 2.73985 | − | 0.517976i | ||||
\(715\) | 1.17623e6 | − | 115848.i | 2.30080 | − | 0.226609i | ||||
\(716\) | 277979. | − | 857374.i | 0.542233 | − | 1.67242i | ||||
\(717\) | −169847. | + | 51522.4i | −0.330384 | + | 0.100221i | ||||
\(718\) | −76143.0 | + | 61287.5i | −0.147700 | + | 0.118884i | ||||
\(719\) | 126615. | + | 305676.i | 0.244922 | + | 0.591295i | 0.997759 | − | 0.0669129i | \(-0.0213150\pi\) |
−0.752837 | + | 0.658207i | \(0.771315\pi\) | |||||||
\(720\) | −384530. | − | 52692.0i | −0.741763 | − | 0.101643i | ||||
\(721\) | −308314. | − | 127708.i | −0.593092 | − | 0.245667i | ||||
\(722\) | −29344.7 | − | 100152.i | −0.0562931 | − | 0.192126i | ||||
\(723\) | −930414. | − | 497317.i | −1.77992 | − | 0.951386i | ||||
\(724\) | −237854. | + | 425348.i | −0.453767 | + | 0.811460i | ||||
\(725\) | 2792.44 | − | 3402.60i | 0.00531262 | − | 0.00647344i | ||||
\(726\) | −1.22533e6 | + | 802006.i | −2.32477 | + | 1.52161i | ||||
\(727\) | 23784.3 | + | 35595.8i | 0.0450010 | + | 0.0673488i | 0.853288 | − | 0.521440i | \(-0.174605\pi\) |
−0.808287 | + | 0.588789i | \(0.799605\pi\) | |||||||
\(728\) | 1.10085e6 | + | 493201.i | 2.07714 | + | 0.930595i | ||||
\(729\) | 135627. | − | 202980.i | 0.255205 | − | 0.381942i | ||||
\(730\) | 592537. | + | 603906.i | 1.11191 | + | 1.13324i | ||||
\(731\) | −42363.1 | + | 22643.5i | −0.0792780 | + | 0.0423750i | ||||
\(732\) | −214185. | + | 206195.i | −0.399730 | + | 0.384819i | ||||
\(733\) | 128757. | + | 12681.5i | 0.239642 | + | 0.0236027i | 0.217125 | − | 0.976144i | \(-0.430332\pi\) |
0.0225171 | + | 0.999746i | \(0.492832\pi\) | |||||||
\(734\) | −403342. | − | 337478.i | −0.748654 | − | 0.626403i | ||||
\(735\) | −991729. | + | 991729.i | −1.83577 | + | 1.83577i | ||||
\(736\) | 195959. | + | 263350.i | 0.361750 | + | 0.486158i | ||||
\(737\) | −140160. | + | 140160.i | −0.258040 | + | 0.258040i | ||||
\(738\) | −23165.2 | − | 260557.i | −0.0425327 | − | 0.478400i | ||||
\(739\) | −440041. | − | 43340.3i | −0.805758 | − | 0.0793602i | −0.313253 | − | 0.949670i | \(-0.601419\pi\) |
−0.492505 | + | 0.870310i | \(0.663919\pi\) | |||||||
\(740\) | 13474.6 | − | 30858.6i | 0.0246067 | − | 0.0563525i | ||||
\(741\) | 757022. | − | 404637.i | 1.37871 | − | 0.736935i | ||||
\(742\) | −194317. | − | 1846.39i | −0.352942 | − | 0.00335364i | ||||
\(743\) | −90810.6 | + | 135908.i | −0.164497 | + | 0.246188i | −0.904556 | − | 0.426354i | \(-0.859798\pi\) |
0.740059 | + | 0.672542i | \(0.234798\pi\) | |||||||
\(744\) | 75652.3 | + | 120522.i | 0.136671 | + | 0.217731i | ||||
\(745\) | 79666.9 | + | 119230.i | 0.143538 | + | 0.214819i | ||||
\(746\) | 33705.5 | + | 7038.00i | 0.0605651 | + | 0.0126465i | ||||
\(747\) | −199270. | + | 242811.i | −0.357109 | + | 0.435138i | ||||
\(748\) | 745605. | + | 944568.i | 1.33262 | + | 1.68822i | ||||
\(749\) | −1.35479e6 | − | 724152.i | −2.41496 | − | 1.29082i | ||||
\(750\) | 656811. | + | 359138.i | 1.16766 | + | 0.638468i | ||||
\(751\) | 172199. | + | 71327.0i | 0.305316 | + | 0.126466i | 0.530081 | − | 0.847947i | \(-0.322161\pi\) |
−0.224765 | + | 0.974413i | \(0.572161\pi\) | |||||||
\(752\) | 603853. | + | 22961.5i | 1.06781 | + | 0.0406036i | ||||
\(753\) | −182161. | − | 439775.i | −0.321266 | − | 0.775605i | ||||
\(754\) | 589389. | + | 63709.7i | 1.03671 | + | 0.112063i | ||||
\(755\) | −572215. | + | 173580.i | −1.00384 | + | 0.304512i | ||||
\(756\) | 321553. | − | 25511.2i | 0.562612 | − | 0.0446361i | ||||
\(757\) | −736203. | + | 72509.7i | −1.28471 | + | 0.126533i | −0.717221 | − | 0.696846i | \(-0.754586\pi\) |
−0.567492 | + | 0.823379i | \(0.692086\pi\) | |||||||
\(758\) | 214254. | − | 314150.i | 0.372898 | − | 0.546762i | ||||
\(759\) | 797921. | + | 158716.i | 1.38508 | + | 0.275510i | ||||
\(760\) | −509692. | − | 64915.3i | −0.882431 | − | 0.112388i | ||||
\(761\) | 117810. | − | 23433.8i | 0.203429 | − | 0.0404645i | −0.0923241 | − | 0.995729i | \(-0.529430\pi\) |
0.295753 | + | 0.955265i | \(0.404430\pi\) | |||||||
\(762\) | −547852. | − | 1.35901e6i | −0.943526 | − | 2.34053i | ||||
\(763\) | 160603. | − | 529437.i | 0.275870 | − | 0.909421i | ||||
\(764\) | 522046. | + | 363356.i | 0.894380 | + | 0.622509i | ||||
\(765\) | 339623. | + | 413832.i | 0.580329 | + | 0.707133i | ||||
\(766\) | 272295. | − | 867865.i | 0.464069 | − | 1.47909i | ||||
\(767\) | 1.28663e6i | 2.18708i | ||||||||
\(768\) | 135331. | − | 769048.i | 0.229442 | − | 1.30386i | ||||
\(769\) | −47696.7 | −0.0806558 | −0.0403279 | − | 0.999187i | \(-0.512840\pi\) | ||||
−0.0403279 | + | 0.999187i | \(0.512840\pi\) | |||||||
\(770\) | −1.70748e6 | − | 535727.i | −2.87988 | − | 0.903571i | ||||
\(771\) | 410304. | − | 336727.i | 0.690234 | − | 0.566461i | ||||
\(772\) | 197117. | − | 283205.i | 0.330742 | − | 0.475188i | ||||
\(773\) | 663102. | + | 201150.i | 1.10974 | + | 0.336636i | 0.791374 | − | 0.611332i | \(-0.209366\pi\) |
0.318365 | + | 0.947968i | \(0.396866\pi\) | |||||||
\(774\) | 30769.1 | − | 12403.8i | 0.0513609 | − | 0.0207049i | ||||
\(775\) | −241.272 | − | 1212.96i | −0.000401702 | − | 0.00201949i | ||||
\(776\) | −728476. | − | 92780.0i | −1.20974 | − | 0.154075i | ||||
\(777\) | 16616.6 | − | 83537.2i | 0.0275232 | − | 0.138369i | ||||
\(778\) | 272360. | + | 185753.i | 0.449971 | + | 0.306885i | ||||
\(779\) | −33942.8 | − | 344627.i | −0.0559336 | − | 0.567903i | ||||
\(780\) | 83664.6 | + | 1.05454e6i | 0.137516 | + | 1.73331i | ||||
\(781\) | 122679. | + | 404419.i | 0.201126 | + | 0.663024i | ||||
\(782\) | 48659.2 | − | 450154.i | 0.0795704 | − | 0.736118i | ||||
\(783\) | 146455. | − | 60663.8i | 0.238881 | − | 0.0989479i | ||||
\(784\) | −823687. | − | 888804.i | −1.34008 | − | 1.44602i | ||||
\(785\) | 154385. | − | 372718.i | 0.250533 | − | 0.604840i | ||||
\(786\) | −153280. | + | 280326.i | −0.248107 | + | 0.453752i | ||||
\(787\) | −202405. | + | 378672.i | −0.326792 | + | 0.611384i | −0.990643 | − | 0.136481i | \(-0.956421\pi\) |
0.663851 | + | 0.747865i | \(0.268921\pi\) | |||||||
\(788\) | 615083. | − | 485523.i | 0.990561 | − | 0.781910i | ||||
\(789\) | −572028. | − | 469451.i | −0.918889 | − | 0.754112i | ||||
\(790\) | 33904.1 | − | 162369.i | 0.0543248 | − | 0.260165i | ||||
\(791\) | 817838. | − | 546462.i | 1.30712 | − | 0.873388i | ||||
\(792\) | −441859. | − | 703925.i | −0.704422 | − | 1.12221i | ||||
\(793\) | 289349. | + | 193337.i | 0.460125 | + | 0.307446i | ||||
\(794\) | −105.749 | + | 11129.2i | −0.000167739 | + | 0.0176531i | ||||
\(795\) | −80333.1 | − | 150293.i | −0.127104 | − | 0.237795i | ||||
\(796\) | 469223. | + | 204889.i | 0.740548 | + | 0.323365i | ||||
\(797\) | −20938.2 | + | 212589.i | −0.0329626 | + | 0.334675i | 0.964534 | + | 0.263959i | \(0.0850284\pi\) |
−0.997496 | + | 0.0707161i | \(0.977472\pi\) | |||||||
\(798\) | −1.29457e6 | + | 115096.i | −2.03292 | + | 0.180739i | ||||
\(799\) | −589385. | − | 589385.i | −0.923221 | − | 0.923221i | ||||
\(800\) | −3479.78 | + | 5826.50i | −0.00543715 | + | 0.00910391i | ||||
\(801\) | 642614. | + | 642614.i | 1.00158 | + | 1.00158i | ||||
\(802\) | 335119. | − | 400522.i | 0.521015 | − | 0.622699i | ||||
\(803\) | −177578. | + | 1.80298e6i | −0.275396 | + | 2.79615i | ||||
\(804\) | −123041. | − | 127809.i | −0.190344 | − | 0.197719i | ||||
\(805\) | 317402. | + | 593817.i | 0.489799 | + | 0.916349i | ||||
\(806\) | 118889. | − | 116651.i | 0.183009 | − | 0.179564i | ||||
\(807\) | 556577. | + | 371893.i | 0.854631 | + | 0.571046i | ||||
\(808\) | −648210. | − | 290410.i | −0.992872 | − | 0.444824i | ||||
\(809\) | 209898. | − | 140249.i | 0.320709 | − | 0.214291i | −0.384786 | − | 0.923006i | \(-0.625725\pi\) |
0.705495 | + | 0.708715i | \(0.250725\pi\) | |||||||
\(810\) | 423928. | + | 647692.i | 0.646133 | + | 0.987184i | ||||
\(811\) | 612707. | + | 502835.i | 0.931560 | + | 0.764512i | 0.972076 | − | 0.234667i | \(-0.0754000\pi\) |
−0.0405155 | + | 0.999179i | \(0.512900\pi\) | |||||||
\(812\) | −783427. | − | 438090.i | −1.18819 | − | 0.664434i | ||||
\(813\) | −219634. | + | 410907.i | −0.332292 | + | 0.621674i | ||||
\(814\) | 69195.5 | − | 20274.3i | 0.104431 | − | 0.0305983i | ||||
\(815\) | 334363. | − | 807225.i | 0.503389 | − | 1.21529i | ||||
\(816\) | −857950. | + | 651158.i | −1.28849 | + | 0.977926i | ||||
\(817\) | 40575.2 | − | 16806.8i | 0.0607879 | − | 0.0251792i | ||||
\(818\) | −544414. | − | 676374.i | −0.813622 | − | 1.01084i | ||||
\(819\) | 333579. | + | 1.09966e6i | 0.497314 | + | 1.63942i | ||||
\(820\) | 405965. | + | 131623.i | 0.603756 | + | 0.195751i | ||||
\(821\) | −21863.1 | − | 221980.i | −0.0324359 | − | 0.329327i | −0.997685 | − | 0.0679975i | \(-0.978339\pi\) |
0.965250 | − | 0.261330i | \(-0.0841610\pi\) | |||||||
\(822\) | −153661. | − | 812791.i | −0.227415 | − | 1.20292i | ||||
\(823\) | 243025. | − | 1.22177e6i | 0.358799 | − | 1.80380i | −0.205975 | − | 0.978557i | \(-0.566037\pi\) |
0.564774 | − | 0.825246i | \(-0.308963\pi\) | |||||||
\(824\) | 252243. | − | 17602.2i | 0.371505 | − | 0.0259246i | ||||
\(825\) | 3281.37 | + | 16496.6i | 0.00482111 | + | 0.0242374i | ||||
\(826\) | 762575. | − | 1.79265e6i | 1.11769 | − | 2.62746i | ||||
\(827\) | −555599. | − | 168539.i | −0.812364 | − | 0.246428i | −0.143344 | − | 0.989673i | \(-0.545786\pi\) |
−0.669019 | + | 0.743245i | \(0.733286\pi\) | |||||||
\(828\) | −66823.3 | + | 305485.i | −0.0974691 | + | 0.445583i | ||||
\(829\) | −645600. | + | 529830.i | −0.939409 | + | 0.770953i | −0.973552 | − | 0.228464i | \(-0.926630\pi\) |
0.0341436 | + | 0.999417i | \(0.489130\pi\) | |||||||
\(830\) | −237269. | − | 454228.i | −0.344417 | − | 0.659352i | ||||
\(831\) | −600885. | −0.870140 | ||||||||
\(832\) | −913225. | + | 37613.9i | −1.31926 | + | 0.0543378i | ||||
\(833\) | 1.67146e6i | 2.40883i | ||||||||
\(834\) | 99043.7 | + | 189609.i | 0.142395 | + | 0.272601i | ||||
\(835\) | −738829. | − | 900266.i | −1.05967 | − | 1.29121i | ||||
\(836\) | −593774. | − | 926277.i | −0.849588 | − | 1.32534i | ||||
\(837\) | 12928.8 | − | 42620.7i | 0.0184548 | − | 0.0608372i | ||||
\(838\) | 187869. | − | 441640.i | 0.267527 | − | 0.628898i | ||||
\(839\) | −67125.4 | + | 13352.1i | −0.0953593 | + | 0.0189681i | −0.242539 | − | 0.970142i | \(-0.577980\pi\) |
0.147180 | + | 0.989110i | \(0.452980\pi\) | |||||||
\(840\) | 508448. | − | 1.51887e6i | 0.720590 | − | 2.15259i | ||||
\(841\) | 261047. | + | 51925.5i | 0.369086 | + | 0.0734157i | ||||
\(842\) | 206978. | + | 1.09481e6i | 0.291944 | + | 1.54424i | ||||
\(843\) | 776132. | − | 76442.3i | 1.09215 | − | 0.107567i | ||||
\(844\) | 201032. | + | 393932.i | 0.282215 | + | 0.553014i | ||||
\(845\) | 505254. | − | 153267.i | 0.707614 | − | 0.214652i | ||||
\(846\) | 360953. | + | 448445.i | 0.504325 | + | 0.626568i | ||||
\(847\) | −993220. | − | 2.39785e6i | −1.38446 | − | 3.34237i | ||||
\(848\) | 132398. | − | 64424.4i | 0.184115 | − | 0.0895898i | ||||
\(849\) | 826535. | + | 342362.i | 1.14669 | + | 0.474975i | ||||
\(850\) | 8983.22 | − | 2632.09i | 0.0124335 | − | 0.00364303i | ||||
\(851\) | −23926.1 | − | 12788.7i | −0.0330379 | − | 0.0176591i | ||||
\(852\) | −363990. | + | 102904.i | −0.501430 | + | 0.141760i | ||||
\(853\) | −189696. | + | 231145.i | −0.260712 | + | 0.317678i | −0.886871 | − | 0.462017i | \(-0.847126\pi\) |
0.626159 | + | 0.779695i | \(0.284626\pi\) | |||||||
\(854\) | −288557. | − | 440868.i | −0.395655 | − | 0.604495i | ||||
\(855\) | −271935. | − | 406980.i | −0.371992 | − | 0.556725i | ||||
\(856\) | 1.16349e6 | + | 33174.4i | 1.58787 | + | 0.0452746i | ||||
\(857\) | −644920. | + | 965191.i | −0.878100 | + | 1.31417i | 0.0704405 | + | 0.997516i | \(0.477559\pi\) |
−0.948541 | + | 0.316654i | \(0.897441\pi\) | |||||||
\(858\) | −1.61693e6 | + | 1.58649e6i | −2.19642 | + | 2.15507i | ||||
\(859\) | −1.26840e6 | + | 677974.i | −1.71898 | + | 0.918811i | −0.753841 | + | 0.657057i | \(0.771801\pi\) |
−0.965135 | + | 0.261754i | \(0.915699\pi\) | |||||||
\(860\) | −1028.48 | + | 54114.7i | −0.00139060 | + | 0.0731675i | ||||
\(861\) | 1.07431e6 | + | 105811.i | 1.44919 | + | 0.142733i | ||||
\(862\) | 556515. | − | 665126.i | 0.748966 | − | 0.895137i | ||||
\(863\) | 890699. | − | 890699.i | 1.19594 | − | 1.19594i | 0.220568 | − | 0.975372i | \(-0.429209\pi\) |
0.975372 | − | 0.220568i | \(-0.0707910\pi\) | |||||||
\(864\) | −209435. | + | 125981.i | −0.280558 | + | 0.168763i | ||||
\(865\) | −489648. | + | 489648.i | −0.654413 | + | 0.654413i | ||||
\(866\) | −437585. | + | 38904.1i | −0.583481 | + | 0.0518751i | ||||
\(867\) | 488123. | + | 48075.9i | 0.649369 | + | 0.0639572i | ||||
\(868\) | −234784. | + | 92063.9i | −0.311623 | + | 0.122194i | ||||
\(869\) | 313250. | − | 167436.i | 0.414812 | − | 0.221722i | ||||
\(870\) | 7479.16 | − | 787117.i | 0.00988130 | − | 1.03992i | ||||
\(871\) | −115368. | + | 172661.i | −0.152073 | + | 0.227593i | ||||
\(872\) | 70031.3 | + | 413313.i | 0.0920998 | + | 0.543559i | ||||
\(873\) | −388663. | − | 581675.i | −0.509970 | − | 0.763223i | ||||
\(874\) | −84616.2 | + | 405232.i | −0.110772 | + | 0.530495i | ||||
\(875\) | −841643. | + | 1.02555e6i | −1.09929 | + | 1.33949i | ||||
\(876\) | −1.61042e6 | − | 189574.i | −2.09860 | − | 0.247042i | ||||
\(877\) | −32002.7 | − | 17105.8i | −0.0416090 | − | 0.0222405i | 0.450461 | − | 0.892796i | \(-0.351260\pi\) |
−0.492070 | + | 0.870556i | \(0.663760\pi\) | |||||||
\(878\) | −661764. | + | 1.21027e6i | −0.858448 | + | 1.56998i | ||||
\(879\) | 303621. | + | 125764.i | 0.392966 | + | 0.162772i | ||||
\(880\) | 1.33898e6 | − | 213807.i | 1.72905 | − | 0.276094i | ||||
\(881\) | 38989.9 | + | 94129.9i | 0.0502343 | + | 0.121276i | 0.947005 | − | 0.321220i | \(-0.104093\pi\) |
−0.896770 | + | 0.442496i | \(0.854093\pi\) | |||||||
\(882\) | 124060. | − | 1.14770e6i | 0.159476 | − | 1.47534i | ||||
\(883\) | 179517. | − | 54455.8i | 0.230241 | − | 0.0698430i | −0.173056 | − | 0.984912i | \(-0.555364\pi\) |
0.403297 | + | 0.915069i | \(0.367864\pi\) | |||||||
\(884\) | 959168. | + | 818160.i | 1.22741 | + | 1.04697i | ||||
\(885\) | 1.70018e6 | − | 167453.i | 2.17074 | − | 0.213799i | ||||
\(886\) | −729336. | − | 497415.i | −0.929095 | − | 0.633653i | ||||
\(887\) | −1.21497e6 | − | 241673.i | −1.54426 | − | 0.307172i | −0.651831 | − | 0.758364i | \(-0.725999\pi\) |
−0.892427 | + | 0.451192i | \(0.850999\pi\) | |||||||
\(888\) | 16966.1 | + | 62266.0i | 0.0215157 | + | 0.0789633i | ||||
\(889\) | 2.54697e6 | − | 506624.i | 3.22270 | − | 0.641035i | ||||
\(890\) | −1.37514e6 | + | 554354.i | −1.73607 | + | 0.699854i | ||||
\(891\) | −481180. | + | 1.58624e6i | −0.606111 | + | 1.99808i | ||||
\(892\) | −1.30795e6 | + | 234423.i | −1.64385 | + | 0.294625i | ||||
\(893\) | 483460. | + | 589098.i | 0.606259 | + | 0.738728i | ||||
\(894\) | −262229. | − | 82275.3i | −0.328100 | − | 0.102942i | ||||
\(895\) | 1.40081e6i | 1.74878i | ||||||||
\(896\) | 1.29468e6 | + | 488852.i | 1.61267 | + | 0.608922i | ||||
\(897\) | 852308. | 1.05928 | ||||||||
\(898\) | −236088. | + | 752464.i | −0.292766 | + | 0.933110i | ||||
\(899\) | −95804.7 | + | 78624.9i | −0.118541 | + | 0.0972839i | ||||
\(900\) | −6363.66 | + | 1140.55i | −0.00785636 | + | 0.00140809i | ||||
\(901\) | −194348. | − | 58954.9i | −0.239404 | − | 0.0726224i | ||||
\(902\) | 341685. | + | 847590.i | 0.419964 | + | 1.04177i | ||||
\(903\) | 26709.4 | + | 134277.i | 0.0327558 | + | 0.164674i | ||||
\(904\) | −369912. | + | 646996.i | −0.452648 | + | 0.791707i | ||||
\(905\) | 147764. | − | 742859.i | 0.180414 | − | 0.907004i | ||||
\(906\) | 645739. | − | 946817.i | 0.786685 | − | 1.15348i | ||||
\(907\) | 115520. | + | 1.17290e6i | 0.140425 | + | 1.42576i | 0.764616 | + | 0.644486i | \(0.222929\pi\) |
−0.624191 | + | 0.781272i | \(0.714571\pi\) | |||||||
\(908\) | −1.17613e6 | − | 1.00322e6i | −1.42654 | − | 1.21682i | ||||
\(909\) | −196420. | − | 647510.i | −0.237716 | − | 0.783644i | ||||
\(910\) | −1.86394e6 | − | 201482.i | −2.25086 | − | 0.243306i | ||||
\(911\) | −828607. | + | 343220.i | −0.998416 | + | 0.413558i | −0.821216 | − | 0.570617i | \(-0.806704\pi\) |
−0.177200 | + | 0.984175i | \(0.556704\pi\) | |||||||
\(912\) | 839000. | − | 515599.i | 1.00872 | − | 0.619901i | ||||
\(913\) | 419946. | − | 1.01384e6i | 0.503793 | − | 1.21626i | ||||
\(914\) | 895437. | + | 489616.i | 1.07187 | + | 0.586089i | ||||
\(915\) | 217820. | − | 407512.i | 0.260169 | − | 0.486741i | ||||
\(916\) | −722418. | − | 85041.1i | −0.860989 | − | 0.101353i | ||||
\(917\) | −437701. | − | 359212.i | −0.520522 | − | 0.427181i | ||||
\(918\) | 330000. | + | 68907.0i | 0.391587 | + | 0.0817670i | ||||
\(919\) | −552506. | + | 369173.i | −0.654193 | + | 0.437118i | −0.837871 | − | 0.545868i | \(-0.816200\pi\) |
0.183677 | + | 0.982987i | \(0.441200\pi\) | |||||||
\(920\) | −415945. | − | 295413.i | −0.491428 | − | 0.349023i | ||||
\(921\) | −872539. | − | 583012.i | −1.02865 | − | 0.687319i | ||||
\(922\) | −97346.1 | − | 924.979i | −0.114513 | − | 0.00108810i | ||||
\(923\) | 208710. | + | 390469.i | 0.244985 | + | 0.458335i | ||||
\(924\) | 3.19313e6 | − | 1.25210e6i | 3.74001 | − | 1.46654i | ||||
\(925\) | 54.9764 | − | 558.185i | 6.42530e−5 | − | 0.000652371i | ||||
\(926\) | −2165.86 | − | 24361.2i | −0.00252586 | − | 0.0284104i | ||||
\(927\) | 170327. | + | 170327.i | 0.198209 | + | 0.198209i | ||||
\(928\) | 679341. | + | 32298.7i | 0.788845 | + | 0.0375050i | ||||
\(929\) | −624259. | − | 624259.i | −0.723325 | − | 0.723325i | 0.245956 | − | 0.969281i | \(-0.420898\pi\) |
−0.969281 | + | 0.245956i | \(0.920898\pi\) | |||||||
\(930\) | −169617. | − | 141920.i | −0.196112 | − | 0.164088i | ||||
\(931\) | 149791. | − | 1.52086e6i | 0.172817 | − | 1.75464i | ||||
\(932\) | −8175.60 | + | 430167.i | −0.00941212 | + | 0.495228i | ||||
\(933\) | −736566. | − | 1.37802e6i | −0.846152 | − | 1.58304i | ||||
\(934\) | −58002.4 | − | 59115.2i | −0.0664893 | − | 0.0677650i | ||||
\(935\) | −1.55509e6 | − | 1.03908e6i | −1.77882 | − | 1.18857i | ||||
\(936\) | −597883. | − | 632978.i | −0.682440 | − | 0.722499i | ||||
\(937\) | 383722. | − | 256395.i | 0.437056 | − | 0.292032i | −0.317511 | − | 0.948255i | \(-0.602847\pi\) |
0.754567 | + | 0.656223i | \(0.227847\pi\) | |||||||
\(938\) | 263076. | − | 172189.i | 0.299003 | − | 0.195704i | ||||
\(939\) | 332828. | + | 273145.i | 0.377476 | + | 0.309786i | ||||
\(940\) | −903761. | + | 255503.i | −1.02282 | + | 0.289162i | ||||
\(941\) | 380168. | − | 711244.i | 0.429335 | − | 0.803229i | −0.570502 | − | 0.821296i | \(-0.693251\pi\) |
0.999837 | + | 0.0180673i | \(0.00575131\pi\) | |||||||
\(942\) | 217409. | + | 742011.i | 0.245006 | + | 0.836197i | ||||
\(943\) | 131584. | − | 317672.i | 0.147972 | − | 0.357236i | ||||
\(944\) | 88759.2 | + | 1.47341e6i | 0.0996023 | + | 1.65340i | ||||
\(945\) | −463165. | + | 191849.i | −0.518648 | + | 0.214831i | ||||
\(946\) | −90286.6 | + | 72671.7i | −0.100888 | + | 0.0812051i | ||||
\(947\) | −71490.8 | − | 235674.i | −0.0797169 | − | 0.262791i | 0.908018 | − | 0.418931i | \(-0.137595\pi\) |
−0.987735 | + | 0.156140i | \(0.950095\pi\) | |||||||
\(948\) | 144506. | + | 283167.i | 0.160794 | + | 0.315084i | ||||
\(949\) | 186037. | + | 1.88887e6i | 0.206570 | + | 2.09734i | ||||
\(950\) | −8409.67 | + | 1589.87i | −0.00931820 | + | 0.00176163i | ||||
\(951\) | −231868. | + | 1.16568e6i | −0.256378 | + | 1.28890i | ||||
\(952\) | −851481. | − | 1.70842e6i | −0.939509 | − | 1.88504i | ||||
\(953\) | 37225.0 | + | 187143.i | 0.0409872 | + | 0.206057i | 0.995852 | − | 0.0909826i | \(-0.0290008\pi\) |
−0.954865 | + | 0.297039i | \(0.904001\pi\) | |||||||
\(954\) | 129073. | + | 54906.2i | 0.141820 | + | 0.0603288i | ||||
\(955\) | −945979. | − | 286960.i | −1.03723 | − | 0.314640i | ||||
\(956\) | 128625. | + | 200652.i | 0.140737 | + | 0.219548i | ||||
\(957\) | 1.30297e6 | − | 1.06932e6i | 1.42269 | − | 1.16757i | ||||
\(958\) | 855754. | − | 447008.i | 0.932434 | − | 0.487063i | ||||
\(959\) | 1.46599e6 | 1.59402 | ||||||||
\(960\) | 168558. | + | 1.20185e6i | 0.182897 | + | 1.30409i | ||||
\(961\) | − | 888700.i | − | 0.962295i | ||||||
\(962\) | 66955.0 | − | 34974.4i | 0.0723491 | − | 0.0377920i | ||||
\(963\) | 703434. | + | 857136.i | 0.758526 | + | 0.924267i | ||||
\(964\) | −302733. | + | 1.38395e6i | −0.325766 | + | 1.48925i | ||||
\(965\) | −155673. | + | 513184.i | −0.167170 | + | 0.551085i | ||||
\(966\) | −1.18751e6 | − | 505154.i | −1.27257 | − | 0.541339i | ||||
\(967\) | −244629. | + | 48659.7i | −0.261610 | + | 0.0520375i | −0.324153 | − | 0.946005i | \(-0.605079\pi\) |
0.0625424 | + | 0.998042i | \(0.480079\pi\) | |||||||
\(968\) | 1.48398e6 | + | 1.29038e6i | 1.58372 | + | 1.37710i | ||||
\(969\) | −1.33222e6 | − | 264995.i | −1.41882 | − | 0.282221i | ||||
\(970\) | 1.12147e6 | − | 212018.i | 1.19191 | − | 0.225335i | ||||
\(971\) | 1.40334e6 | − | 138217.i | 1.48842 | − | 0.146596i | 0.679133 | − | 0.734015i | \(-0.262356\pi\) |
0.809283 | + | 0.587419i | \(0.199856\pi\) | |||||||
\(972\) | −1.11705e6 | − | 362172.i | −1.18233 | − | 0.383338i | ||||
\(973\) | −362796. | + | 110053.i | −0.383210 | + | 0.116245i | ||||
\(974\) | −490473. | + | 394782.i | −0.517008 | + | 0.416140i | ||||
\(975\) | 6743.25 | + | 16279.7i | 0.00709349 | + | 0.0171252i | ||||
\(976\) | 344689. | + | 201441.i | 0.361850 | + | 0.211470i | ||||
\(977\) | −259881. | − | 107646.i | −0.272261 | − | 0.112774i | 0.242376 | − | 0.970182i | \(-0.422073\pi\) |
−0.514637 | + | 0.857408i | \(0.672073\pi\) | |||||||
\(978\) | 470861. | + | 1.60703e6i | 0.492284 | + | 1.68015i | ||||
\(979\) | −2.80005e6 | − | 1.49666e6i | −2.92147 | − | 1.56156i | ||||
\(980\) | 1.64380e6 | + | 919209.i | 1.71158 | + | 0.957111i | ||||
\(981\) | −253343. | + | 308699.i | −0.263252 | + | 0.320773i | ||||
\(982\) | 1.42841e6 | − | 934925.i | 1.48126 | − | 0.969514i | ||||
\(983\) | 655966. | + | 981723.i | 0.678851 | + | 1.01597i | 0.997675 | + | 0.0681582i | \(0.0217123\pi\) |
−0.318824 | + | 0.947814i | \(0.603288\pi\) | |||||||
\(984\) | −764297. | + | 291349.i | −0.789355 | + | 0.300901i | ||||
\(985\) | −676627. | + | 1.01264e6i | −0.697392 | + | 1.04372i | ||||
\(986\) | −657001. | − | 669607.i | −0.675791 | − | 0.688757i | ||||
\(987\) | −2.09515e6 | + | 1.11988e6i | −2.15070 | + | 1.14957i | ||||
\(988\) | −799422. | − | 830398.i | −0.818959 | − | 0.850692i | ||||
\(989\) | 43397.7 | + | 4274.30i | 0.0443684 | + | 0.00436991i | ||||
\(990\) | 990675. | + | 828903.i | 1.01079 | + | 0.845733i | ||||
\(991\) | −208999. | + | 208999.i | −0.212813 | + | 0.212813i | −0.805461 | − | 0.592649i | \(-0.798082\pi\) |
0.592649 | + | 0.805461i | \(0.298082\pi\) | |||||||
\(992\) | 128100. | − | 141786.i | 0.130175 | − | 0.144082i | ||||
\(993\) | 699140. | − | 699140.i | 0.709032 | − | 0.709032i | ||||
\(994\) | −59365.8 | − | 667735.i | −0.0600847 | − | 0.675821i | ||||
\(995\) | −791924. | − | 77997.8i | −0.799903 | − | 0.0787836i | ||||
\(996\) | 900116. | + | 393042.i | 0.907360 | + | 0.396205i | ||||
\(997\) | −406715. | + | 217394.i | −0.409166 | + | 0.218704i | −0.663121 | − | 0.748512i | \(-0.730769\pi\) |
0.253955 | + | 0.967216i | \(0.418269\pi\) | |||||||
\(998\) | −299564. | − | 2846.44i | −0.300765 | − | 0.00285786i | ||||
\(999\) | 11222.2 | − | 16795.2i | 0.0112447 | − | 0.0168288i |
(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 | 128.5.l.a.3.9 | ✓ | 1008 | |
128.43 | odd | 32 | inner | 128.5.l.a.43.9 | yes | 1008 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
128.5.l.a.3.9 | ✓ | 1008 | 1.1 | even | 1 | trivial | |
128.5.l.a.43.9 | yes | 1008 | 128.43 | odd | 32 | inner |