Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [507,2,Mod(25,507)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(507, base_ring=CyclotomicField(26))
chi = DirichletCharacter(H, H._module([0, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("507.25");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 507 = 3 \cdot 13^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 507.p (of order \(26\), degree \(12\), 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: | \(4.04841538248\) |
Analytic rank: | \(0\) |
Dimension: | \(192\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{26})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{26}]$ |
Embedding invariants
Embedding label | 64.1 | ||
Character | \(\chi\) | \(=\) | 507.64 |
Dual form | 507.2.p.b.103.1 |
$q$-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 \(\left(\mathbb{Z}/507\mathbb{Z}\right)^\times\).
\(n\) | \(170\) | \(340\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{26}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.62119 | − | 0.318270i | −1.85346 | − | 0.225051i | −0.883520 | − | 0.468394i | \(-0.844833\pi\) |
−0.969940 | + | 0.243343i | \(0.921756\pi\) | |||||||
\(3\) | 0.748511 | − | 0.663123i | 0.432153 | − | 0.382854i | ||||
\(4\) | 4.82745 | + | 1.18986i | 2.41372 | + | 0.594929i | ||||
\(5\) | −0.880115 | − | 1.67692i | −0.393599 | − | 0.749941i | 0.605341 | − | 0.795966i | \(-0.293037\pi\) |
−0.998940 | + | 0.0460253i | \(0.985345\pi\) | |||||||
\(6\) | −2.17304 | + | 1.49994i | −0.887140 | + | 0.612348i | ||||
\(7\) | −2.02452 | − | 0.767800i | −0.765197 | − | 0.290201i | −0.0590395 | − | 0.998256i | \(-0.518804\pi\) |
−0.706158 | + | 0.708055i | \(0.749573\pi\) | |||||||
\(8\) | −7.33724 | − | 2.78265i | −2.59411 | − | 0.983815i | ||||
\(9\) | 0.120537 | − | 0.992709i | 0.0401789 | − | 0.330903i | ||||
\(10\) | 1.77323 | + | 4.67563i | 0.560746 | + | 1.47857i | ||||
\(11\) | −2.01393 | + | 0.244536i | −0.607224 | + | 0.0737303i | −0.418373 | − | 0.908275i | \(-0.637399\pi\) |
−0.188851 | + | 0.982006i | \(0.560476\pi\) | |||||||
\(12\) | 4.40242 | − | 2.31057i | 1.27087 | − | 0.667003i | ||||
\(13\) | −1.63692 | + | 3.21255i | −0.453999 | + | 0.891002i | ||||
\(14\) | 5.06228 | + | 2.65689i | 1.35295 | + | 0.710084i | ||||
\(15\) | −1.77078 | − | 0.671568i | −0.457213 | − | 0.173398i | ||||
\(16\) | 9.54182 | + | 5.00793i | 2.38546 | + | 1.25198i | ||||
\(17\) | −1.34828 | + | 3.55513i | −0.327007 | + | 0.862246i | 0.666188 | + | 0.745784i | \(0.267925\pi\) |
−0.993195 | + | 0.116463i | \(0.962844\pi\) | |||||||
\(18\) | −0.631899 | + | 2.56371i | −0.148940 | + | 0.604273i | ||||
\(19\) | 5.17956i | 1.18827i | 0.804364 | + | 0.594136i | \(0.202506\pi\) | ||||
−0.804364 | + | 0.594136i | \(0.797494\pi\) | |||||||
\(20\) | −2.25341 | − | 9.14245i | −0.503878 | − | 2.04431i | ||||
\(21\) | −2.02452 | + | 0.767800i | −0.441787 | + | 0.167548i | ||||
\(22\) | 5.35673 | 1.14206 | ||||||||
\(23\) | −2.11838 | −0.441713 | −0.220857 | − | 0.975306i | \(-0.570885\pi\) | ||||
−0.220857 | + | 0.975306i | \(0.570885\pi\) | |||||||
\(24\) | −7.33724 | + | 2.78265i | −1.49771 | + | 0.568006i | ||||
\(25\) | 0.802868 | − | 1.16316i | 0.160574 | − | 0.232631i | ||||
\(26\) | 5.31313 | − | 7.89973i | 1.04199 | − | 1.54926i | ||||
\(27\) | −0.568065 | − | 0.822984i | −0.109324 | − | 0.158383i | ||||
\(28\) | −8.85970 | − | 6.11541i | −1.67433 | − | 1.15570i | ||||
\(29\) | 0.239201 | − | 1.97000i | 0.0444185 | − | 0.365819i | −0.953503 | − | 0.301383i | \(-0.902552\pi\) |
0.997922 | − | 0.0644368i | \(-0.0205251\pi\) | |||||||
\(30\) | 4.42780 | + | 2.32389i | 0.808403 | + | 0.424282i | ||||
\(31\) | 3.80995 | − | 2.62982i | 0.684287 | − | 0.472329i | −0.174503 | − | 0.984657i | \(-0.555832\pi\) |
0.858790 | + | 0.512327i | \(0.171217\pi\) | |||||||
\(32\) | −10.5008 | − | 7.24819i | −1.85630 | − | 1.28131i | ||||
\(33\) | −1.34529 | + | 1.51852i | −0.234186 | + | 0.264341i | ||||
\(34\) | 4.66560 | − | 8.88955i | 0.800143 | − | 1.52455i | ||||
\(35\) | 0.494274 | + | 4.07071i | 0.0835475 | + | 0.688076i | ||||
\(36\) | 1.76307 | − | 4.64883i | 0.293845 | − | 0.774805i | ||||
\(37\) | −6.26399 | + | 4.32372i | −1.02979 | + | 0.710815i | −0.958048 | − | 0.286607i | \(-0.907472\pi\) |
−0.0717459 | + | 0.997423i | \(0.522857\pi\) | |||||||
\(38\) | 1.64850 | − | 13.5766i | 0.267422 | − | 2.20242i | ||||
\(39\) | 0.905066 | + | 3.49011i | 0.144927 | + | 0.558865i | ||||
\(40\) | 1.79134 | + | 14.7530i | 0.283236 | + | 2.33266i | ||||
\(41\) | 3.58958 | + | 4.05179i | 0.560597 | + | 0.632784i | 0.958653 | − | 0.284578i | \(-0.0918533\pi\) |
−0.398056 | + | 0.917361i | \(0.630315\pi\) | |||||||
\(42\) | 5.55102 | − | 1.36820i | 0.856541 | − | 0.211118i | ||||
\(43\) | 1.47890 | − | 2.14256i | 0.225531 | − | 0.326738i | −0.693840 | − | 0.720129i | \(-0.744083\pi\) |
0.919371 | + | 0.393391i | \(0.128698\pi\) | |||||||
\(44\) | −10.0131 | − | 1.21581i | −1.50953 | − | 0.183291i | ||||
\(45\) | −1.77078 | + | 0.671568i | −0.263972 | + | 0.100111i | ||||
\(46\) | 5.55268 | + | 0.674217i | 0.818698 | + | 0.0994079i | ||||
\(47\) | 1.33083 | + | 5.39938i | 0.194121 | + | 0.787580i | 0.984561 | + | 0.175041i | \(0.0560057\pi\) |
−0.790440 | + | 0.612539i | \(0.790148\pi\) | |||||||
\(48\) | 10.4630 | − | 2.57891i | 1.51021 | − | 0.372233i | ||||
\(49\) | −1.73040 | − | 1.53300i | −0.247201 | − | 0.219001i | ||||
\(50\) | −2.47467 | + | 2.79332i | −0.349971 | + | 0.395035i | ||||
\(51\) | 1.34828 | + | 3.55513i | 0.188798 | + | 0.497818i | ||||
\(52\) | −11.7246 | + | 13.5607i | −1.62591 | + | 1.88054i | ||||
\(53\) | −3.94821 | + | 10.4106i | −0.542328 | + | 1.43000i | 0.331355 | + | 0.943506i | \(0.392494\pi\) |
−0.873683 | + | 0.486496i | \(0.838275\pi\) | |||||||
\(54\) | 1.22707 | + | 2.33799i | 0.166984 | + | 0.318161i | ||||
\(55\) | 2.18256 | + | 3.16198i | 0.294296 | + | 0.426362i | ||||
\(56\) | 12.7179 | + | 11.2671i | 1.69950 | + | 1.50562i | ||||
\(57\) | 3.43468 | + | 3.87696i | 0.454935 | + | 0.513515i | ||||
\(58\) | −1.25398 | + | 5.08760i | −0.164656 | + | 0.668035i | ||||
\(59\) | −2.89294 | − | 5.51203i | −0.376628 | − | 0.717605i | 0.621188 | − | 0.783662i | \(-0.286650\pi\) |
−0.997816 | + | 0.0660568i | \(0.978958\pi\) | |||||||
\(60\) | −7.74927 | − | 5.34893i | −1.00043 | − | 0.690544i | ||||
\(61\) | 4.55511 | + | 12.0108i | 0.583223 | + | 1.53783i | 0.823611 | + | 0.567155i | \(0.191956\pi\) |
−0.240389 | + | 0.970677i | \(0.577275\pi\) | |||||||
\(62\) | −10.8236 | + | 5.68065i | −1.37460 | + | 0.721444i | ||||
\(63\) | −1.00623 | + | 1.91721i | −0.126773 | + | 0.241546i | ||||
\(64\) | 9.08560 | + | 8.04914i | 1.13570 | + | 1.00614i | ||||
\(65\) | 6.82787 | − | 0.0824379i | 0.846893 | − | 0.0102252i | ||||
\(66\) | 4.00957 | − | 3.55217i | 0.493544 | − | 0.437242i | ||||
\(67\) | −1.92002 | − | 7.78983i | −0.234568 | − | 0.951680i | −0.963632 | − | 0.267234i | \(-0.913890\pi\) |
0.729064 | − | 0.684446i | \(-0.239956\pi\) | |||||||
\(68\) | −10.7389 | + | 15.5579i | −1.30228 | + | 1.88668i | ||||
\(69\) | −1.58563 | + | 1.40475i | −0.190888 | + | 0.169112i | ||||
\(70\) | − | 10.8274i | − | 1.29412i | ||||||
\(71\) | 9.12120 | + | 10.2957i | 1.08249 | + | 1.22188i | 0.973706 | + | 0.227810i | \(0.0731567\pi\) |
0.108782 | + | 0.994066i | \(0.465305\pi\) | |||||||
\(72\) | −3.64677 | + | 6.94833i | −0.429776 | + | 0.818869i | ||||
\(73\) | −7.04302 | + | 0.855178i | −0.824323 | + | 0.100091i | −0.521818 | − | 0.853057i | \(-0.674746\pi\) |
−0.302505 | + | 0.953148i | \(0.597823\pi\) | |||||||
\(74\) | 17.7952 | − | 9.33965i | 2.06865 | − | 1.08571i | ||||
\(75\) | −0.170359 | − | 1.40303i | −0.0196714 | − | 0.162008i | ||||
\(76\) | −6.16294 | + | 25.0040i | −0.706938 | + | 2.86816i | ||||
\(77\) | 4.26501 | + | 1.05123i | 0.486043 | + | 0.119799i | ||||
\(78\) | −1.26155 | − | 9.43628i | −0.142843 | − | 1.06845i | ||||
\(79\) | −9.51491 | + | 2.34521i | −1.07051 | + | 0.263857i | −0.734922 | − | 0.678152i | \(-0.762781\pi\) |
−0.335588 | + | 0.942009i | \(0.608935\pi\) | |||||||
\(80\) | − | 20.4084i | − | 2.28173i | ||||||
\(81\) | −0.970942 | − | 0.239316i | −0.107882 | − | 0.0265906i | ||||
\(82\) | −8.11939 | − | 11.7630i | −0.896636 | − | 1.29900i | ||||
\(83\) | 0.883477 | − | 0.997240i | 0.0969742 | − | 0.109461i | −0.698020 | − | 0.716078i | \(-0.745935\pi\) |
0.794994 | + | 0.606617i | \(0.207474\pi\) | |||||||
\(84\) | −10.6868 | + | 1.29762i | −1.16603 | + | 0.141582i | ||||
\(85\) | 7.14832 | − | 0.867963i | 0.775344 | − | 0.0941438i | ||||
\(86\) | −4.55840 | + | 5.14537i | −0.491545 | + | 0.554840i | ||||
\(87\) | −1.12731 | − | 1.63318i | −0.120860 | − | 0.175096i | ||||
\(88\) | 15.4572 | + | 3.80985i | 1.64774 | + | 0.406132i | ||||
\(89\) | 5.56897i | 0.590309i | 0.955449 | + | 0.295155i | \(0.0953712\pi\) | ||||
−0.955449 | + | 0.295155i | \(0.904629\pi\) | |||||||
\(90\) | 4.85528 | − | 1.19672i | 0.511792 | − | 0.126145i | ||||
\(91\) | 5.78057 | − | 5.24706i | 0.605969 | − | 0.550041i | ||||
\(92\) | −10.2264 | − | 2.52058i | −1.06617 | − | 0.262788i | ||||
\(93\) | 1.10790 | − | 4.49491i | 0.114883 | − | 0.466100i | ||||
\(94\) | −1.76989 | − | 14.5763i | −0.182550 | − | 1.50344i | ||||
\(95\) | 8.68570 | − | 4.55861i | 0.891134 | − | 0.467703i | ||||
\(96\) | −12.6664 | + | 1.53798i | −1.29276 | + | 0.156970i | ||||
\(97\) | 6.51356 | − | 12.4106i | 0.661352 | − | 1.26010i | −0.291472 | − | 0.956579i | \(-0.594145\pi\) |
0.952824 | − | 0.303522i | \(-0.0981626\pi\) | |||||||
\(98\) | 4.04781 | + | 4.56903i | 0.408890 | + | 0.461542i | ||||
\(99\) | 2.02873i | 0.203895i | ||||||||
\(100\) | 5.25980 | − | 4.65977i | 0.525980 | − | 0.465977i | ||||
\(101\) | −2.18888 | + | 3.17114i | −0.217802 | + | 0.315540i | −0.916620 | − | 0.399759i | \(-0.869094\pi\) |
0.698819 | + | 0.715299i | \(0.253709\pi\) | |||||||
\(102\) | −2.40261 | − | 9.74779i | −0.237894 | − | 0.965175i | ||||
\(103\) | −10.8096 | + | 9.57648i | −1.06510 | + | 0.943599i | −0.998531 | − | 0.0541830i | \(-0.982745\pi\) |
−0.0665717 | + | 0.997782i | \(0.521206\pi\) | |||||||
\(104\) | 20.9499 | − | 19.0163i | 2.05430 | − | 1.86470i | ||||
\(105\) | 3.06935 | + | 2.71921i | 0.299538 | + | 0.265367i | ||||
\(106\) | 13.6624 | − | 26.0315i | 1.32701 | − | 2.52840i | ||||
\(107\) | −15.0109 | + | 7.87831i | −1.45116 | + | 0.761625i | −0.991941 | − | 0.126701i | \(-0.959561\pi\) |
−0.459214 | + | 0.888326i | \(0.651869\pi\) | |||||||
\(108\) | −1.76307 | − | 4.64883i | −0.169651 | − | 0.447334i | ||||
\(109\) | −13.9451 | − | 9.62562i | −1.33570 | − | 0.921968i | −0.335899 | − | 0.941898i | \(-0.609040\pi\) |
−0.999801 | + | 0.0199303i | \(0.993656\pi\) | |||||||
\(110\) | −4.71454 | − | 8.98280i | −0.449513 | − | 0.856476i | ||||
\(111\) | −1.82151 | + | 7.39015i | −0.172890 | + | 0.701442i | ||||
\(112\) | −15.4725 | − | 17.4649i | −1.46202 | − | 1.65028i | ||||
\(113\) | −15.5827 | − | 13.8051i | −1.46590 | − | 1.29867i | −0.867467 | − | 0.497495i | \(-0.834253\pi\) |
−0.598429 | − | 0.801176i | \(-0.704208\pi\) | |||||||
\(114\) | −7.76903 | − | 11.2554i | −0.727637 | − | 1.05416i | ||||
\(115\) | 1.86442 | + | 3.55235i | 0.173858 | + | 0.331259i | ||||
\(116\) | 3.49875 | − | 9.22545i | 0.324851 | − | 0.856561i | ||||
\(117\) | 2.99182 | + | 2.01221i | 0.276594 | + | 0.186029i | ||||
\(118\) | 5.82862 | + | 15.3688i | 0.536568 | + | 1.41481i | ||||
\(119\) | 5.45926 | − | 6.16223i | 0.500450 | − | 0.564891i | ||||
\(120\) | 11.1239 | + | 9.85491i | 1.01547 | + | 0.899626i | ||||
\(121\) | −6.68423 | + | 1.64751i | −0.607657 | + | 0.149774i | ||||
\(122\) | −8.11712 | − | 32.9324i | −0.734889 | − | 2.98156i | ||||
\(123\) | 5.37367 | + | 0.652482i | 0.484528 | + | 0.0588323i | ||||
\(124\) | 21.5214 | − | 8.16200i | 1.93268 | − | 0.732970i | ||||
\(125\) | −12.0573 | − | 1.46403i | −1.07844 | − | 0.130946i | ||||
\(126\) | 3.24771 | − | 4.70512i | 0.289329 | − | 0.419166i | ||||
\(127\) | 11.0221 | − | 2.71671i | 0.978057 | − | 0.241069i | 0.282284 | − | 0.959331i | \(-0.408908\pi\) |
0.695773 | + | 0.718262i | \(0.255062\pi\) | |||||||
\(128\) | −4.33110 | − | 4.88880i | −0.382819 | − | 0.432113i | ||||
\(129\) | −0.313806 | − | 2.58443i | −0.0276291 | − | 0.227546i | ||||
\(130\) | −17.9234 | − | 1.95702i | −1.57198 | − | 0.171642i | ||||
\(131\) | 1.80254 | − | 14.8453i | 0.157489 | − | 1.29704i | −0.672850 | − | 0.739779i | \(-0.734930\pi\) |
0.830339 | − | 0.557259i | \(-0.188147\pi\) | |||||||
\(132\) | −8.30116 | + | 5.72988i | −0.722523 | + | 0.498722i | ||||
\(133\) | 3.97686 | − | 10.4861i | 0.344838 | − | 0.909263i | ||||
\(134\) | 2.55347 | + | 21.0297i | 0.220586 | + | 1.81669i | ||||
\(135\) | −0.880115 | + | 1.67692i | −0.0757482 | + | 0.144326i | ||||
\(136\) | 19.7854 | − | 22.3331i | 1.69658 | − | 1.91504i | ||||
\(137\) | 9.34370 | + | 6.44949i | 0.798286 | + | 0.551017i | 0.895925 | − | 0.444205i | \(-0.146514\pi\) |
−0.0976389 | + | 0.995222i | \(0.531129\pi\) | |||||||
\(138\) | 4.60333 | − | 3.17745i | 0.391861 | − | 0.270482i | ||||
\(139\) | 7.41163 | + | 3.88992i | 0.628646 | + | 0.329939i | 0.748780 | − | 0.662819i | \(-0.230640\pi\) |
−0.120134 | + | 0.992758i | \(0.538332\pi\) | |||||||
\(140\) | −2.45749 | + | 20.2393i | −0.207696 | + | 1.71053i | ||||
\(141\) | 4.57659 | + | 3.15899i | 0.385418 | + | 0.266035i | ||||
\(142\) | −20.6316 | − | 29.8900i | −1.73136 | − | 2.50831i | ||||
\(143\) | 2.51106 | − | 6.87016i | 0.209985 | − | 0.574511i | ||||
\(144\) | 6.12156 | − | 8.86861i | 0.510130 | − | 0.739051i | ||||
\(145\) | −3.51405 | + | 1.33270i | −0.291826 | + | 0.110675i | ||||
\(146\) | 18.7333 | 1.55038 | ||||||||
\(147\) | −2.31180 | −0.190674 | ||||||||
\(148\) | −35.3837 | + | 13.4193i | −2.90852 | + | 1.10306i | ||||
\(149\) | 4.75702 | + | 19.3000i | 0.389710 | + | 1.58112i | 0.758544 | + | 0.651621i | \(0.225911\pi\) |
−0.368834 | + | 0.929495i | \(0.620243\pi\) | |||||||
\(150\) | 3.73184i | 0.304703i | ||||||||
\(151\) | −0.386882 | + | 1.56964i | −0.0314840 | + | 0.127736i | −0.984581 | − | 0.174930i | \(-0.944030\pi\) |
0.953097 | + | 0.302665i | \(0.0978764\pi\) | |||||||
\(152\) | 14.4129 | − | 38.0037i | 1.16904 | − | 3.08251i | ||||
\(153\) | 3.36669 | + | 1.76698i | 0.272181 | + | 0.142852i | ||||
\(154\) | −10.8448 | − | 4.11289i | −0.873900 | − | 0.331426i | ||||
\(155\) | −7.76319 | − | 4.07443i | −0.623554 | − | 0.327266i | ||||
\(156\) | 0.216424 | + | 17.9252i | 0.0173278 | + | 1.43517i | ||||
\(157\) | −2.88542 | + | 1.51439i | −0.230282 | + | 0.120861i | −0.575918 | − | 0.817507i | \(-0.695355\pi\) |
0.345636 | + | 0.938369i | \(0.387663\pi\) | |||||||
\(158\) | 25.6868 | − | 3.11894i | 2.04353 | − | 0.248129i | ||||
\(159\) | 3.94821 | + | 10.4106i | 0.313113 | + | 0.825612i | ||||
\(160\) | −2.91270 | + | 23.9883i | −0.230269 | + | 1.89644i | ||||
\(161\) | 4.28871 | + | 1.62649i | 0.337998 | + | 0.128186i | ||||
\(162\) | 2.46885 | + | 0.936313i | 0.193971 | + | 0.0735637i | ||||
\(163\) | 3.21318 | − | 2.21790i | 0.251675 | − | 0.173719i | −0.435547 | − | 0.900166i | \(-0.643445\pi\) |
0.687223 | + | 0.726447i | \(0.258830\pi\) | |||||||
\(164\) | 12.5074 | + | 23.8309i | 0.976666 | + | 1.86088i | ||||
\(165\) | 3.73045 | + | 0.919474i | 0.290415 | + | 0.0715810i | ||||
\(166\) | −2.63315 | + | 2.33277i | −0.204372 | + | 0.181058i | ||||
\(167\) | −14.6433 | − | 1.77802i | −1.13313 | − | 0.137587i | −0.467590 | − | 0.883946i | \(-0.654878\pi\) |
−0.665544 | + | 0.746358i | \(0.731801\pi\) | |||||||
\(168\) | 16.9909 | 1.31088 | ||||||||
\(169\) | −7.64100 | − | 10.5174i | −0.587769 | − | 0.809029i | ||||
\(170\) | −19.0133 | −1.45826 | ||||||||
\(171\) | 5.14179 | + | 0.624327i | 0.393203 | + | 0.0477435i | ||||
\(172\) | 9.68868 | − | 8.58342i | 0.738755 | − | 0.654480i | ||||
\(173\) | 15.8534 | + | 3.90752i | 1.20531 | + | 0.297083i | 0.790293 | − | 0.612729i | \(-0.209928\pi\) |
0.415021 | + | 0.909812i | \(0.363774\pi\) | |||||||
\(174\) | 2.43509 | + | 4.63967i | 0.184603 | + | 0.351733i | ||||
\(175\) | −2.51849 | + | 1.73839i | −0.190380 | + | 0.131410i | ||||
\(176\) | −20.4412 | − | 7.75233i | −1.54081 | − | 0.584354i | ||||
\(177\) | −5.82054 | − | 2.20744i | −0.437499 | − | 0.165921i | ||||
\(178\) | 1.77243 | − | 14.5973i | 0.132850 | − | 1.09411i | ||||
\(179\) | −6.03420 | − | 15.9109i | −0.451017 | − | 1.18923i | −0.947094 | − | 0.320956i | \(-0.895996\pi\) |
0.496077 | − | 0.868279i | \(-0.334773\pi\) | |||||||
\(180\) | −9.34741 | + | 1.13498i | −0.696715 | + | 0.0845965i | ||||
\(181\) | −12.8815 | + | 6.76073i | −0.957473 | + | 0.502521i | −0.869679 | − | 0.493618i | \(-0.835674\pi\) |
−0.0877944 | + | 0.996139i | \(0.527982\pi\) | |||||||
\(182\) | −16.8219 | + | 11.9137i | −1.24693 | + | 0.883106i | ||||
\(183\) | 11.3742 | + | 5.96965i | 0.840806 | + | 0.441289i | ||||
\(184\) | 15.5431 | + | 5.89471i | 1.14585 | + | 0.434564i | ||||
\(185\) | 12.7636 | + | 6.69884i | 0.938396 | + | 0.492508i | ||||
\(186\) | −4.33460 | + | 11.4294i | −0.317828 | + | 0.838044i | ||||
\(187\) | 1.84600 | − | 7.48951i | 0.134993 | − | 0.547687i | ||||
\(188\) | 27.6487i | 2.01649i | ||||||||
\(189\) | 0.518172 | + | 2.10231i | 0.0376915 | + | 0.152920i | ||||
\(190\) | −24.2177 | + | 9.18457i | −1.75694 | + | 0.666319i | ||||
\(191\) | −1.67127 | −0.120929 | −0.0604644 | − | 0.998170i | \(-0.519258\pi\) | ||||
−0.0604644 | + | 0.998170i | \(0.519258\pi\) | |||||||
\(192\) | 12.1382 | 0.876002 | ||||||||
\(193\) | 5.05256 | − | 1.91618i | 0.363691 | − | 0.137930i | −0.165988 | − | 0.986128i | \(-0.553081\pi\) |
0.529680 | + | 0.848198i | \(0.322312\pi\) | |||||||
\(194\) | −21.0232 | + | 30.4573i | −1.50938 | + | 2.18671i | ||||
\(195\) | 5.05607 | − | 4.58942i | 0.362072 | − | 0.328655i | ||||
\(196\) | −6.52938 | − | 9.45944i | −0.466384 | − | 0.675674i | ||||
\(197\) | −15.3287 | − | 10.5806i | −1.09212 | − | 0.753837i | −0.121055 | − | 0.992646i | \(-0.538628\pi\) |
−0.971067 | + | 0.238809i | \(0.923243\pi\) | |||||||
\(198\) | 0.645682 | − | 5.31767i | 0.0458866 | − | 0.377910i | ||||
\(199\) | −12.2944 | − | 6.45261i | −0.871528 | − | 0.457413i | −0.0312138 | − | 0.999513i | \(-0.509937\pi\) |
−0.840314 | + | 0.542100i | \(0.817630\pi\) | |||||||
\(200\) | −9.12749 | + | 6.30025i | −0.645411 | + | 0.445495i | ||||
\(201\) | −6.60277 | − | 4.55756i | −0.465724 | − | 0.321466i | ||||
\(202\) | 6.74674 | − | 7.61550i | 0.474699 | − | 0.535824i | ||||
\(203\) | −1.99683 | + | 3.80464i | −0.140150 | + | 0.267034i | ||||
\(204\) | 2.27866 | + | 18.7665i | 0.159538 | + | 1.31392i | ||||
\(205\) | 3.63529 | − | 9.58547i | 0.253900 | − | 0.669478i | ||||
\(206\) | 31.3819 | − | 21.6614i | 2.18648 | − | 1.50922i | ||||
\(207\) | −0.255343 | + | 2.10294i | −0.0177475 | + | 0.146164i | ||||
\(208\) | −31.7074 | + | 22.4560i | −2.19851 | + | 1.55705i | ||||
\(209\) | −1.26659 | − | 10.4313i | −0.0876117 | − | 0.721547i | ||||
\(210\) | −7.17990 | − | 8.10443i | −0.495460 | − | 0.559259i | ||||
\(211\) | 9.77032 | − | 2.40817i | 0.672617 | − | 0.165785i | 0.111807 | − | 0.993730i | \(-0.464336\pi\) |
0.560810 | + | 0.827945i | \(0.310490\pi\) | |||||||
\(212\) | −31.4469 | + | 45.5587i | −2.15978 | + | 3.12898i | ||||
\(213\) | 13.6546 | + | 1.65797i | 0.935600 | + | 0.113602i | ||||
\(214\) | 41.8537 | − | 15.8730i | 2.86106 | − | 1.08506i | ||||
\(215\) | −4.89451 | − | 0.594301i | −0.333803 | − | 0.0405310i | ||||
\(216\) | 1.87795 | + | 7.61916i | 0.127779 | + | 0.518418i | ||||
\(217\) | −9.73250 | + | 2.39884i | −0.660685 | + | 0.162844i | ||||
\(218\) | 33.4892 | + | 29.6689i | 2.26818 | + | 2.00943i | ||||
\(219\) | −4.70469 | + | 5.31050i | −0.317913 | + | 0.358850i | ||||
\(220\) | 6.77388 | + | 17.8613i | 0.456695 | + | 1.20421i | ||||
\(221\) | −9.21402 | − | 10.1509i | −0.619802 | − | 0.682823i | ||||
\(222\) | 7.12658 | − | 18.7912i | 0.478304 | − | 1.26119i | ||||
\(223\) | 1.19649 | + | 2.27972i | 0.0801229 | + | 0.152661i | 0.922221 | − | 0.386663i | \(-0.126372\pi\) |
−0.842098 | + | 0.539324i | \(0.818680\pi\) | |||||||
\(224\) | 15.6940 | + | 22.7367i | 1.04860 | + | 1.51916i | ||||
\(225\) | −1.05790 | − | 0.937217i | −0.0705267 | − | 0.0624812i | ||||
\(226\) | 36.4514 | + | 41.1451i | 2.42471 | + | 2.73693i | ||||
\(227\) | 1.71773 | − | 6.96910i | 0.114010 | − | 0.462556i | −0.885990 | − | 0.463705i | \(-0.846520\pi\) |
0.999999 | + | 0.00114950i | \(0.000365899\pi\) | |||||||
\(228\) | 11.9677 | + | 22.8026i | 0.792582 | + | 1.51014i | ||||
\(229\) | 11.3862 | + | 7.85936i | 0.752424 | + | 0.519361i | 0.881448 | − | 0.472281i | \(-0.156569\pi\) |
−0.129024 | + | 0.991641i | \(0.541184\pi\) | |||||||
\(230\) | −3.75639 | − | 9.90478i | −0.247689 | − | 0.653102i | ||||
\(231\) | 3.88950 | − | 2.04137i | 0.255910 | − | 0.134312i | ||||
\(232\) | −7.23689 | + | 13.7887i | −0.475125 | + | 0.905275i | ||||
\(233\) | 1.83896 | + | 1.62918i | 0.120474 | + | 0.106731i | 0.721209 | − | 0.692718i | \(-0.243587\pi\) |
−0.600735 | + | 0.799448i | \(0.705125\pi\) | |||||||
\(234\) | −7.20170 | − | 6.22660i | −0.470790 | − | 0.407045i | ||||
\(235\) | 7.88304 | − | 6.98376i | 0.514233 | − | 0.455570i | ||||
\(236\) | −7.40696 | − | 30.0512i | −0.482152 | − | 1.95617i | ||||
\(237\) | −5.56685 | + | 8.06497i | −0.361605 | + | 0.523876i | ||||
\(238\) | −16.2710 | + | 14.4148i | −1.05469 | + | 0.934376i | ||||
\(239\) | − | 12.0666i | − | 0.780525i | −0.920704 | − | 0.390262i | \(-0.872384\pi\) | ||
0.920704 | − | 0.390262i | \(-0.127616\pi\) | |||||||
\(240\) | −13.5333 | − | 15.2759i | −0.873570 | − | 0.986056i | ||||
\(241\) | −8.75776 | + | 16.6865i | −0.564137 | + | 1.07487i | 0.421632 | + | 0.906767i | \(0.361457\pi\) |
−0.985769 | + | 0.168106i | \(0.946235\pi\) | |||||||
\(242\) | 18.0450 | − | 2.19106i | 1.15997 | − | 0.140846i | ||||
\(243\) | −0.885456 | + | 0.464723i | −0.0568020 | + | 0.0298120i | ||||
\(244\) | 7.69836 | + | 63.4017i | 0.492837 | + | 4.05888i | ||||
\(245\) | −1.04777 | + | 4.25097i | −0.0669396 | + | 0.271584i | ||||
\(246\) | −13.8777 | − | 3.42056i | −0.884812 | − | 0.218087i | ||||
\(247\) | −16.6396 | − | 8.47851i | −1.05875 | − | 0.539475i | ||||
\(248\) | −35.2724 | + | 8.69386i | −2.23980 | + | 0.552061i | ||||
\(249\) | − | 1.33230i | − | 0.0844310i | ||||||
\(250\) | 31.1386 | + | 7.67497i | 1.96938 | + | 0.485408i | ||||
\(251\) | 9.98667 | + | 14.4682i | 0.630353 | + | 0.913224i | 0.999872 | − | 0.0159989i | \(-0.00509283\pi\) |
−0.369519 | + | 0.929223i | \(0.620477\pi\) | |||||||
\(252\) | −7.13874 | + | 8.05797i | −0.449698 | + | 0.507604i | ||||
\(253\) | 4.26628 | − | 0.518020i | 0.268219 | − | 0.0325677i | ||||
\(254\) | −29.7557 | + | 3.61300i | −1.86704 | + | 0.226700i | ||||
\(255\) | 4.77503 | − | 5.38989i | 0.299024 | − | 0.337528i | ||||
\(256\) | −3.99394 | − | 5.78621i | −0.249621 | − | 0.361638i | ||||
\(257\) | 11.1800 | + | 2.75562i | 0.697389 | + | 0.171891i | 0.572045 | − | 0.820222i | \(-0.306150\pi\) |
0.125344 | + | 0.992113i | \(0.459997\pi\) | |||||||
\(258\) | 6.87414i | 0.427966i | ||||||||
\(259\) | 16.0013 | − | 3.94398i | 0.994275 | − | 0.245067i | ||||
\(260\) | 33.0593 | + | 7.72624i | 2.05025 | + | 0.479161i | ||||
\(261\) | −1.92680 | − | 0.474914i | −0.119266 | − | 0.0293964i | ||||
\(262\) | −9.44961 | + | 38.3386i | −0.583799 | + | 2.36856i | ||||
\(263\) | −3.71718 | − | 30.6137i | −0.229211 | − | 1.88772i | −0.422171 | − | 0.906516i | \(-0.638732\pi\) |
0.192960 | − | 0.981207i | \(-0.438191\pi\) | |||||||
\(264\) | 14.0963 | − | 7.39829i | 0.867565 | − | 0.455333i | ||||
\(265\) | 20.9326 | − | 2.54167i | 1.28588 | − | 0.156134i | ||||
\(266\) | −13.7615 | + | 26.2204i | −0.843773 | + | 1.60768i | ||||
\(267\) | 3.69291 | + | 4.16843i | 0.226002 | + | 0.255104i | ||||
\(268\) | − | 39.8896i | − | 2.43664i | ||||||
\(269\) | 5.19354 | − | 4.60108i | 0.316656 | − | 0.280533i | −0.489790 | − | 0.871840i | \(-0.662927\pi\) |
0.806446 | + | 0.591308i | \(0.201388\pi\) | |||||||
\(270\) | 2.84066 | − | 4.11541i | 0.172877 | − | 0.250456i | ||||
\(271\) | −5.91059 | − | 23.9802i | −0.359043 | − | 1.45669i | −0.821580 | − | 0.570093i | \(-0.806907\pi\) |
0.462538 | − | 0.886600i | \(-0.346939\pi\) | |||||||
\(272\) | −30.6690 | + | 27.1703i | −1.85958 | + | 1.64744i | ||||
\(273\) | 0.847378 | − | 7.76071i | 0.0512856 | − | 0.469699i | ||||
\(274\) | −22.4389 | − | 19.8792i | −1.35559 | − | 1.20094i | ||||
\(275\) | −1.33249 | + | 2.53885i | −0.0803522 | + | 0.153098i | ||||
\(276\) | −9.32600 | + | 4.89466i | −0.561359 | + | 0.294624i | ||||
\(277\) | −9.10187 | − | 23.9997i | −0.546879 | − | 1.44200i | −0.868766 | − | 0.495223i | \(-0.835087\pi\) |
0.321887 | − | 0.946778i | \(-0.395683\pi\) | |||||||
\(278\) | −18.1892 | − | 12.5551i | −1.09092 | − | 0.753006i | ||||
\(279\) | −2.15140 | − | 4.09916i | −0.128801 | − | 0.245410i | ||||
\(280\) | 7.70075 | − | 31.2432i | 0.460208 | − | 1.86714i | ||||
\(281\) | 3.98059 | + | 4.49316i | 0.237462 | + | 0.268039i | 0.855146 | − | 0.518387i | \(-0.173467\pi\) |
−0.617684 | + | 0.786426i | \(0.711929\pi\) | |||||||
\(282\) | −10.9907 | − | 9.73690i | −0.654486 | − | 0.579824i | ||||
\(283\) | 15.6070 | + | 22.6107i | 0.927740 | + | 1.34406i | 0.938923 | + | 0.344126i | \(0.111825\pi\) |
−0.0111829 | + | 0.999937i | \(0.503560\pi\) | |||||||
\(284\) | 31.7817 | + | 60.5549i | 1.88590 | + | 3.59327i | ||||
\(285\) | 3.47843 | − | 9.17185i | 0.206044 | − | 0.543294i | ||||
\(286\) | −8.76852 | + | 17.2088i | −0.518494 | + | 1.01758i | ||||
\(287\) | −4.15621 | − | 10.9590i | −0.245333 | − | 0.646890i | ||||
\(288\) | −8.46108 | + | 9.55059i | −0.498574 | + | 0.562774i | ||||
\(289\) | 1.90358 | + | 1.68643i | 0.111975 | + | 0.0992016i | ||||
\(290\) | 9.63515 | − | 2.37485i | 0.565796 | − | 0.139456i | ||||
\(291\) | −3.35425 | − | 13.6087i | −0.196630 | − | 0.797758i | ||||
\(292\) | −35.0174 | − | 4.25188i | −2.04924 | − | 0.248822i | ||||
\(293\) | −22.4829 | + | 8.52663i | −1.31346 | + | 0.498131i | −0.909142 | − | 0.416486i | \(-0.863261\pi\) |
−0.404321 | + | 0.914617i | \(0.632492\pi\) | |||||||
\(294\) | 6.05965 | + | 0.735775i | 0.353406 | + | 0.0429113i | ||||
\(295\) | −6.69711 | + | 9.70244i | −0.389921 | + | 0.564898i | ||||
\(296\) | 57.9918 | − | 14.2937i | 3.37071 | − | 0.830805i | ||||
\(297\) | 1.34529 | + | 1.51852i | 0.0780619 | + | 0.0881136i | ||||
\(298\) | −6.32644 | − | 52.1029i | −0.366481 | − | 3.01824i | ||||
\(299\) | 3.46762 | − | 6.80541i | 0.200537 | − | 0.393567i | ||||
\(300\) | 0.847013 | − | 6.97578i | 0.0489023 | − | 0.402747i | ||||
\(301\) | −4.63913 | + | 3.20216i | −0.267395 | + | 0.184570i | ||||
\(302\) | 1.51366 | − | 3.99119i | 0.0871013 | − | 0.229667i | ||||
\(303\) | 0.464454 | + | 3.82513i | 0.0266822 | + | 0.219748i | ||||
\(304\) | −25.9389 | + | 49.4224i | −1.48770 | + | 2.83457i | ||||
\(305\) | 16.1322 | − | 18.2095i | 0.923727 | − | 1.04267i | ||||
\(306\) | −8.26236 | − | 5.70310i | −0.472328 | − | 0.326024i | ||||
\(307\) | −0.478480 | + | 0.330271i | −0.0273083 | + | 0.0188496i | −0.581641 | − | 0.813446i | \(-0.697589\pi\) |
0.554332 | + | 0.832295i | \(0.312974\pi\) | |||||||
\(308\) | 19.3383 | + | 10.1495i | 1.10190 | + | 0.578322i | ||||
\(309\) | −1.74073 | + | 14.3362i | −0.0990266 | + | 0.815558i | ||||
\(310\) | 19.0520 | + | 13.1506i | 1.08208 | + | 0.746906i | ||||
\(311\) | −11.1724 | − | 16.1860i | −0.633530 | − | 0.917826i | 0.366390 | − | 0.930461i | \(-0.380594\pi\) |
−0.999920 | + | 0.0126348i | \(0.995978\pi\) | |||||||
\(312\) | 3.07105 | − | 28.1262i | 0.173864 | − | 1.59234i | ||||
\(313\) | 4.82215 | − | 6.98609i | 0.272564 | − | 0.394877i | −0.662668 | − | 0.748914i | \(-0.730576\pi\) |
0.935232 | + | 0.354037i | \(0.115191\pi\) | |||||||
\(314\) | 8.04522 | − | 3.05115i | 0.454018 | − | 0.172186i | ||||
\(315\) | 4.10061 | 0.231043 | ||||||||
\(316\) | −48.7232 | −2.74089 | ||||||||
\(317\) | 6.05049 | − | 2.29465i | 0.339829 | − | 0.128880i | −0.178786 | − | 0.983888i | \(-0.557217\pi\) |
0.518615 | + | 0.855008i | \(0.326448\pi\) | |||||||
\(318\) | −7.03563 | − | 28.5447i | −0.394538 | − | 1.60071i | ||||
\(319\) | 4.02594i | 0.225409i | ||||||||
\(320\) | 5.50138 | − | 22.3200i | 0.307537 | − | 1.24772i | ||||
\(321\) | −6.01151 | + | 15.8510i | −0.335530 | + | 0.884719i | ||||
\(322\) | −10.7238 | − | 5.62831i | −0.597617 | − | 0.313653i | ||||
\(323\) | −18.4140 | − | 6.98352i | −1.02458 | − | 0.388573i | ||||
\(324\) | −4.40242 | − | 2.31057i | −0.244579 | − | 0.128365i | ||||
\(325\) | 2.42247 | + | 4.48325i | 0.134374 | + | 0.248686i | ||||
\(326\) | −9.12823 | + | 4.79086i | −0.505566 | + | 0.265341i | ||||
\(327\) | −16.8210 | + | 2.04244i | −0.930206 | + | 0.112947i | ||||
\(328\) | −15.0629 | − | 39.7175i | −0.831708 | − | 2.19303i | ||||
\(329\) | 1.45135 | − | 11.9530i | 0.0800157 | − | 0.658988i | ||||
\(330\) | −9.48558 | − | 3.59741i | −0.522164 | − | 0.198031i | ||||
\(331\) | 9.35119 | + | 3.54644i | 0.513988 | + | 0.194930i | 0.597941 | − | 0.801540i | \(-0.295986\pi\) |
−0.0839537 | + | 0.996470i | \(0.526755\pi\) | |||||||
\(332\) | 5.45151 | − | 3.76291i | 0.299191 | − | 0.206516i | ||||
\(333\) | 3.53716 | + | 6.73949i | 0.193835 | + | 0.369322i | ||||
\(334\) | 37.8170 | + | 9.32105i | 2.06925 | + | 0.510025i | ||||
\(335\) | −11.3731 | + | 10.0757i | −0.621378 | + | 0.550493i | ||||
\(336\) | −23.1627 | − | 2.81246i | −1.26363 | − | 0.153432i | ||||
\(337\) | −11.5521 | −0.629282 | −0.314641 | − | 0.949211i | \(-0.601884\pi\) | ||||
−0.314641 | + | 0.949211i | \(0.601884\pi\) | |||||||
\(338\) | 16.6811 | + | 29.9999i | 0.907334 | + | 1.63178i | ||||
\(339\) | −20.8183 | −1.13069 | ||||||||
\(340\) | 35.5409 | + | 4.31544i | 1.92747 | + | 0.234038i | ||||
\(341\) | −7.02990 | + | 6.22795i | −0.380690 | + | 0.337262i | ||||
\(342\) | −13.2789 | − | 3.27296i | −0.718041 | − | 0.176981i | ||||
\(343\) | 9.36982 | + | 17.8527i | 0.505922 | + | 0.963955i | ||||
\(344\) | −16.8131 | + | 11.6052i | −0.906501 | + | 0.625712i | ||||
\(345\) | 3.75119 | + | 1.42264i | 0.201957 | + | 0.0765922i | ||||
\(346\) | −40.3112 | − | 15.2880i | −2.16714 | − | 0.821889i | ||||
\(347\) | −0.384707 | + | 3.16835i | −0.0206521 | + | 0.170086i | −0.999386 | − | 0.0350507i | \(-0.988841\pi\) |
0.978733 | + | 0.205136i | \(0.0657638\pi\) | |||||||
\(348\) | −3.49875 | − | 9.22545i | −0.187553 | − | 0.494536i | ||||
\(349\) | −30.2401 | + | 3.67182i | −1.61872 | + | 0.196548i | −0.879153 | − | 0.476539i | \(-0.841891\pi\) |
−0.739563 | + | 0.673087i | \(0.764968\pi\) | |||||||
\(350\) | 7.15473 | − | 3.75509i | 0.382436 | − | 0.200718i | ||||
\(351\) | 3.57376 | − | 0.477781i | 0.190753 | − | 0.0255021i | ||||
\(352\) | 22.9204 | + | 12.0296i | 1.22166 | + | 0.641178i | ||||
\(353\) | 12.3017 | + | 4.66541i | 0.654752 | + | 0.248315i | 0.659535 | − | 0.751674i | \(-0.270753\pi\) |
−0.00478297 | + | 0.999989i | \(0.501522\pi\) | |||||||
\(354\) | 14.5542 | + | 7.63862i | 0.773546 | + | 0.405988i | ||||
\(355\) | 9.23737 | − | 24.3569i | 0.490268 | − | 1.29273i | ||||
\(356\) | −6.62629 | + | 26.8839i | −0.351192 | + | 1.42484i | ||||
\(357\) | − | 8.23265i | − | 0.435718i | ||||||
\(358\) | 10.7528 | + | 43.6259i | 0.568304 | + | 2.30570i | ||||
\(359\) | 22.2709 | − | 8.44622i | 1.17541 | − | 0.445775i | 0.311905 | − | 0.950113i | \(-0.399033\pi\) |
0.863506 | + | 0.504339i | \(0.168264\pi\) | |||||||
\(360\) | 14.8614 | 0.783263 | ||||||||
\(361\) | −7.82784 | −0.411991 | ||||||||
\(362\) | 35.9165 | − | 13.6213i | 1.88773 | − | 0.715922i | ||||
\(363\) | −3.91071 | + | 5.66565i | −0.205259 | + | 0.297369i | ||||
\(364\) | 34.1487 | − | 18.4518i | 1.78988 | − | 0.967139i | ||||
\(365\) | 7.63273 | + | 11.0579i | 0.399515 | + | 0.578798i | ||||
\(366\) | −27.9140 | − | 19.2676i | −1.45909 | − | 1.00714i | ||||
\(367\) | −0.938834 | + | 7.73199i | −0.0490067 | + | 0.403607i | 0.947477 | + | 0.319823i | \(0.103624\pi\) |
−0.996484 | + | 0.0837835i | \(0.973300\pi\) | |||||||
\(368\) | −20.2132 | − | 10.6087i | −1.05369 | − | 0.553017i | ||||
\(369\) | 4.45493 | − | 3.07501i | 0.231914 | − | 0.160079i | ||||
\(370\) | −31.3237 | − | 21.6212i | −1.62844 | − | 1.12403i | ||||
\(371\) | 15.9865 | − | 18.0450i | 0.829976 | − | 0.936849i | ||||
\(372\) | 10.6966 | − | 20.3807i | 0.554594 | − | 1.05669i | ||||
\(373\) | 4.64249 | + | 38.2344i | 0.240379 | + | 1.97970i | 0.195477 | + | 0.980708i | \(0.437375\pi\) |
0.0449025 | + | 0.998991i | \(0.485702\pi\) | |||||||
\(374\) | −7.22239 | + | 19.0439i | −0.373461 | + | 0.984736i | ||||
\(375\) | −9.99587 | + | 6.89965i | −0.516185 | + | 0.356297i | ||||
\(376\) | 5.25997 | − | 43.3198i | 0.271262 | − | 2.23405i | ||||
\(377\) | 5.93717 | + | 3.99317i | 0.305780 | + | 0.205659i | ||||
\(378\) | −0.689126 | − | 5.67546i | −0.0354448 | − | 0.291914i | ||||
\(379\) | −10.3222 | − | 11.6514i | −0.530218 | − | 0.598493i | 0.420981 | − | 0.907069i | \(-0.361686\pi\) |
−0.951199 | + | 0.308577i | \(0.900147\pi\) | |||||||
\(380\) | 47.3539 | − | 11.6717i | 2.42920 | − | 0.598745i | ||||
\(381\) | 6.44868 | − | 9.34252i | 0.330376 | − | 0.478632i | ||||
\(382\) | 4.38071 | + | 0.531915i | 0.224137 | + | 0.0272151i | ||||
\(383\) | 26.6449 | − | 10.1051i | 1.36149 | − | 0.516345i | 0.437657 | − | 0.899142i | \(-0.355808\pi\) |
0.923832 | + | 0.382797i | \(0.125039\pi\) | |||||||
\(384\) | −6.48375 | − | 0.787270i | −0.330873 | − | 0.0401752i | ||||
\(385\) | −1.99087 | − | 8.07728i | −0.101464 | − | 0.411656i | ||||
\(386\) | −13.8536 | + | 3.41460i | −0.705128 | + | 0.173798i | ||||
\(387\) | −1.94868 | − | 1.72638i | −0.0990570 | − | 0.0877568i | ||||
\(388\) | 46.2107 | − | 52.1611i | 2.34599 | − | 2.64808i | ||||
\(389\) | 5.61250 | + | 14.7989i | 0.284565 | + | 0.750336i | 0.998731 | + | 0.0503601i | \(0.0160369\pi\) |
−0.714166 | + | 0.699976i | \(0.753194\pi\) | |||||||
\(390\) | −14.7136 | + | 10.4205i | −0.745051 | + | 0.527665i | ||||
\(391\) | 2.85618 | − | 7.53113i | 0.144443 | − | 0.380866i | ||||
\(392\) | 8.43058 | + | 16.0631i | 0.425809 | + | 0.811311i | ||||
\(393\) | −8.49502 | − | 12.3072i | −0.428517 | − | 0.620814i | ||||
\(394\) | 36.8118 | + | 32.6124i | 1.85455 | + | 1.64299i | ||||
\(395\) | 12.3069 | + | 13.8917i | 0.619230 | + | 0.698966i | ||||
\(396\) | −2.41390 | + | 9.79357i | −0.121303 | + | 0.492145i | ||||
\(397\) | 4.23116 | + | 8.06180i | 0.212356 | + | 0.404610i | 0.968213 | − | 0.250126i | \(-0.0804721\pi\) |
−0.755858 | + | 0.654736i | \(0.772780\pi\) | |||||||
\(398\) | 30.1723 | + | 20.8264i | 1.51240 | + | 1.04394i | ||||
\(399\) | −3.97686 | − | 10.4861i | −0.199092 | − | 0.524963i | ||||
\(400\) | 13.4858 | − | 7.07791i | 0.674292 | − | 0.353896i | ||||
\(401\) | −9.63785 | + | 18.3634i | −0.481291 | + | 0.917024i | 0.516850 | + | 0.856076i | \(0.327105\pi\) |
−0.998141 | + | 0.0609476i | \(0.980588\pi\) | |||||||
\(402\) | 15.8566 | + | 14.0477i | 0.790854 | + | 0.700635i | ||||
\(403\) | 2.21186 | + | 16.5445i | 0.110180 | + | 0.824138i | ||||
\(404\) | −14.3399 | + | 12.7040i | −0.713437 | + | 0.632050i | ||||
\(405\) | 0.453228 | + | 1.83882i | 0.0225211 | + | 0.0913715i | ||||
\(406\) | 6.44498 | − | 9.33716i | 0.319859 | − | 0.463395i | ||||
\(407\) | 11.5580 | − | 10.2395i | 0.572907 | − | 0.507551i | ||||
\(408\) | − | 29.8367i | − | 1.47714i | ||||||
\(409\) | −2.63532 | − | 2.97466i | −0.130308 | − | 0.147087i | 0.679735 | − | 0.733458i | \(-0.262095\pi\) |
−0.810043 | + | 0.586370i | \(0.800556\pi\) | |||||||
\(410\) | −12.5795 | + | 23.9683i | −0.621259 | + | 1.18371i | ||||
\(411\) | 11.2707 | − | 1.36851i | 0.555941 | − | 0.0675035i | ||||
\(412\) | −63.5775 | + | 33.3680i | −3.13224 | + | 1.64393i | ||||
\(413\) | 1.62468 | + | 13.3804i | 0.0799451 | + | 0.658407i | ||||
\(414\) | 1.33860 | − | 5.43092i | 0.0657887 | − | 0.266915i | ||||
\(415\) | −2.44985 | − | 0.603834i | −0.120259 | − | 0.0296411i | ||||
\(416\) | 40.4742 | − | 21.8698i | 1.98441 | − | 1.07225i | ||||
\(417\) | 8.12718 | − | 2.00317i | 0.397990 | − | 0.0980957i | ||||
\(418\) | 27.7455i | 1.35708i | ||||||||
\(419\) | −3.58272 | − | 0.883060i | −0.175027 | − | 0.0431403i | 0.150828 | − | 0.988560i | \(-0.451806\pi\) |
−0.325855 | + | 0.945420i | \(0.605652\pi\) | |||||||
\(420\) | 11.5817 | + | 16.7789i | 0.565127 | + | 0.818727i | ||||
\(421\) | −23.6073 | + | 26.6471i | −1.15055 | + | 1.29870i | −0.202967 | + | 0.979186i | \(0.565058\pi\) |
−0.947581 | + | 0.319514i | \(0.896480\pi\) | |||||||
\(422\) | −26.3763 | + | 3.20266i | −1.28398 | + | 0.155903i | ||||
\(423\) | 5.52042 | − | 0.670301i | 0.268412 | − | 0.0325911i | ||||
\(424\) | 57.9379 | − | 65.3984i | 2.81371 | − | 3.17603i | ||||
\(425\) | 3.05268 | + | 4.42257i | 0.148077 | + | 0.214526i | ||||
\(426\) | −35.2637 | − | 8.69172i | −1.70853 | − | 0.421115i | ||||
\(427\) | − | 27.8136i | − | 1.34600i | ||||||
\(428\) | −81.8382 | + | 20.1713i | −3.95580 | + | 0.975017i | ||||
\(429\) | −2.67620 | − | 6.80753i | −0.129208 | − | 0.328670i | ||||
\(430\) | 12.6403 | + | 3.11555i | 0.609569 | + | 0.150245i | ||||
\(431\) | 2.06497 | − | 8.37791i | 0.0994661 | − | 0.403550i | −0.900012 | − | 0.435866i | \(-0.856442\pi\) |
0.999478 | + | 0.0323161i | \(0.0102883\pi\) | |||||||
\(432\) | −1.29892 | − | 10.6976i | −0.0624945 | − | 0.514688i | ||||
\(433\) | 18.7496 | − | 9.84057i | 0.901050 | − | 0.472908i | 0.0504536 | − | 0.998726i | \(-0.483933\pi\) |
0.850597 | + | 0.525819i | \(0.176241\pi\) | |||||||
\(434\) | 26.2742 | − | 3.19026i | 1.26120 | − | 0.153138i | ||||
\(435\) | −1.74656 | + | 3.32779i | −0.0837411 | + | 0.159555i | ||||
\(436\) | −55.8662 | − | 63.0599i | −2.67551 | − | 3.02002i | ||||
\(437\) | − | 10.9723i | − | 0.524876i | ||||||
\(438\) | 14.0220 | − | 12.4224i | 0.669999 | − | 0.593568i | ||||
\(439\) | 5.61216 | − | 8.13061i | 0.267854 | − | 0.388053i | −0.665858 | − | 0.746078i | \(-0.731934\pi\) |
0.933712 | + | 0.358025i | \(0.116550\pi\) | |||||||
\(440\) | −7.21528 | − | 29.2735i | −0.343975 | − | 1.39556i | ||||
\(441\) | −1.73040 | + | 1.53300i | −0.0824002 | + | 0.0730002i | ||||
\(442\) | 20.9210 | + | 29.5399i | 0.995109 | + | 1.40507i | ||||
\(443\) | −9.19129 | − | 8.14277i | −0.436691 | − | 0.386875i | 0.415936 | − | 0.909394i | \(-0.363454\pi\) |
−0.852628 | + | 0.522519i | \(0.824992\pi\) | |||||||
\(444\) | −17.5865 | + | 33.5082i | −0.834617 | + | 1.59023i | ||||
\(445\) | 9.33871 | − | 4.90133i | 0.442697 | − | 0.232345i | ||||
\(446\) | −2.41066 | − | 6.35638i | −0.114148 | − | 0.300983i | ||||
\(447\) | 16.3589 | + | 11.2918i | 0.773751 | + | 0.534082i | ||||
\(448\) | −12.2139 | − | 23.2716i | −0.577051 | − | 1.09948i | ||||
\(449\) | −7.35379 | + | 29.8355i | −0.347047 | + | 1.40802i | 0.495129 | + | 0.868820i | \(0.335121\pi\) |
−0.842175 | + | 0.539204i | \(0.818725\pi\) | |||||||
\(450\) | 2.47467 | + | 2.79332i | 0.116657 | + | 0.131678i | ||||
\(451\) | −8.21998 | − | 7.28226i | −0.387064 | − | 0.342908i | ||||
\(452\) | −58.7985 | − | 85.1844i | −2.76565 | − | 4.00674i | ||||
\(453\) | 0.751279 | + | 1.43144i | 0.0352982 | + | 0.0672550i | ||||
\(454\) | −6.72055 | + | 17.7206i | −0.315411 | + | 0.831670i | ||||
\(455\) | −13.8865 | − | 5.07554i | −0.651007 | − | 0.237945i | ||||
\(456\) | −14.4129 | − | 38.0037i | −0.674946 | − | 1.77969i | ||||
\(457\) | −1.04713 | + | 1.18197i | −0.0489827 | + | 0.0552901i | −0.772491 | − | 0.635025i | \(-0.780990\pi\) |
0.723509 | + | 0.690315i | \(0.242528\pi\) | |||||||
\(458\) | −27.3441 | − | 24.2247i | −1.27771 | − | 1.13195i | ||||
\(459\) | 3.69173 | − | 0.909930i | 0.172315 | − | 0.0424719i | ||||
\(460\) | 4.77359 | + | 19.3672i | 0.222570 | + | 0.903000i | ||||
\(461\) | −2.72288 | − | 0.330618i | −0.126817 | − | 0.0153984i | 0.0568819 | − | 0.998381i | \(-0.481884\pi\) |
−0.183699 | + | 0.982983i | \(0.558807\pi\) | |||||||
\(462\) | −10.8448 | + | 4.11289i | −0.504546 | + | 0.191349i | ||||
\(463\) | −9.47008 | − | 1.14988i | −0.440112 | − | 0.0534392i | −0.102518 | − | 0.994731i | \(-0.532690\pi\) |
−0.337594 | + | 0.941292i | \(0.609613\pi\) | |||||||
\(464\) | 12.1480 | − | 17.5995i | 0.563958 | − | 0.817035i | ||||
\(465\) | −8.51268 | + | 2.09819i | −0.394766 | + | 0.0973011i | ||||
\(466\) | −4.30174 | − | 4.85567i | −0.199274 | − | 0.224934i | ||||
\(467\) | −1.52667 | − | 12.5733i | −0.0706460 | − | 0.581822i | −0.984450 | − | 0.175666i | \(-0.943792\pi\) |
0.913804 | − | 0.406156i | \(-0.133131\pi\) | |||||||
\(468\) | 12.0486 | + | 13.2737i | 0.556947 | + | 0.613577i | ||||
\(469\) | −2.09391 | + | 17.2449i | −0.0966877 | + | 0.796295i | ||||
\(470\) | −22.8856 | + | 15.7968i | −1.05564 | + | 0.728653i | ||||
\(471\) | −1.15555 | + | 3.04692i | −0.0532448 | + | 0.140395i | ||||
\(472\) | 5.88813 | + | 48.4931i | 0.271023 | + | 2.23208i | ||||
\(473\) | −2.45448 | + | 4.67663i | −0.112857 | + | 0.215032i | ||||
\(474\) | 17.1586 | − | 19.3680i | 0.788120 | − | 0.889603i | ||||
\(475\) | 6.02463 | + | 4.15850i | 0.276429 | + | 0.190805i | ||||
\(476\) | 33.6865 | − | 23.2521i | 1.54402 | − | 1.06576i | ||||
\(477\) | 9.85876 | + | 5.17428i | 0.451402 | + | 0.236914i | ||||
\(478\) | −3.84044 | + | 31.6289i | −0.175658 | + | 1.44667i | ||||
\(479\) | −33.6696 | − | 23.2405i | −1.53841 | − | 1.06188i | −0.971187 | − | 0.238317i | \(-0.923404\pi\) |
−0.567218 | − | 0.823568i | \(-0.691980\pi\) | |||||||
\(480\) | 13.7270 | + | 19.8870i | 0.626548 | + | 0.907712i | ||||
\(481\) | −3.63655 | − | 27.2010i | −0.165812 | − | 1.24026i | ||||
\(482\) | 28.2665 | − | 40.9511i | 1.28751 | − | 1.86527i | ||||
\(483\) | 4.28871 | − | 1.62649i | 0.195143 | − | 0.0740080i | ||||
\(484\) | −34.2281 | −1.55582 | ||||||||
\(485\) | −26.5442 | −1.20531 | ||||||||
\(486\) | 2.46885 | − | 0.936313i | 0.111989 | − | 0.0424720i | ||||
\(487\) | 4.01026 | + | 16.2703i | 0.181722 | + | 0.737276i | 0.989100 | + | 0.147242i | \(0.0470397\pi\) |
−0.807378 | + | 0.590034i | \(0.799114\pi\) | |||||||
\(488\) | − | 100.802i | − | 4.56308i | ||||||
\(489\) | 0.934360 | − | 3.79085i | 0.0422532 | − | 0.171428i | ||||
\(490\) | 4.09936 | − | 10.8091i | 0.185190 | − | 0.488306i | ||||
\(491\) | 15.8778 | + | 8.33332i | 0.716555 | + | 0.376077i | 0.783259 | − | 0.621696i | \(-0.213556\pi\) |
−0.0667035 | + | 0.997773i | \(0.521248\pi\) | |||||||
\(492\) | 25.1648 | + | 9.54373i | 1.13451 | + | 0.430265i | ||||
\(493\) | 6.68109 | + | 3.50651i | 0.300901 | + | 0.157925i | ||||
\(494\) | 40.9171 | + | 27.5197i | 1.84095 | + | 1.23817i | ||||
\(495\) | 3.40201 | − | 1.78551i | 0.152909 | − | 0.0802528i | ||||
\(496\) | 49.5238 | − | 6.01328i | 2.22368 | − | 0.270004i | ||||
\(497\) | −10.5610 | − | 27.8471i | −0.473727 | − | 1.24912i | ||||
\(498\) | −0.424030 | + | 3.49220i | −0.0190013 | + | 0.156489i | ||||
\(499\) | 7.71729 | + | 2.92678i | 0.345473 | + | 0.131021i | 0.521238 | − | 0.853411i | \(-0.325470\pi\) |
−0.175764 | + | 0.984432i | \(0.556240\pi\) | |||||||
\(500\) | −56.4642 | − | 21.4140i | −2.52515 | − | 0.957665i | ||||
\(501\) | −12.1397 | + | 8.37945i | −0.542363 | + | 0.374366i | ||||
\(502\) | −21.5722 | − | 41.1023i | −0.962813 | − | 1.83449i | ||||
\(503\) | −17.2956 | − | 4.26298i | −0.771171 | − | 0.190077i | −0.165950 | − | 0.986134i | \(-0.553069\pi\) |
−0.605221 | + | 0.796057i | \(0.706915\pi\) | |||||||
\(504\) | 12.7179 | − | 11.2671i | 0.566500 | − | 0.501875i | ||||
\(505\) | 7.24421 | + | 0.879606i | 0.322363 | + | 0.0391420i | ||||
\(506\) | −11.3476 | −0.504462 | ||||||||
\(507\) | −12.6937 | − | 2.80545i | −0.563746 | − | 0.124594i | ||||
\(508\) | 56.4413 | 2.50418 | ||||||||
\(509\) | 2.99184 | + | 0.363275i | 0.132611 | + | 0.0161019i | 0.186573 | − | 0.982441i | \(-0.440262\pi\) |
−0.0539620 | + | 0.998543i | \(0.517185\pi\) | |||||||
\(510\) | −14.2317 | + | 12.6082i | −0.630189 | + | 0.558299i | ||||
\(511\) | 14.9154 | + | 3.67630i | 0.659816 | + | 0.162630i | ||||
\(512\) | 14.6978 | + | 28.0044i | 0.649559 | + | 1.23763i | ||||
\(513\) | 4.26269 | − | 2.94233i | 0.188203 | − | 0.129907i | ||||
\(514\) | −28.4278 | − | 10.7813i | −1.25390 | − | 0.475541i | ||||
\(515\) | 25.5727 | + | 9.69844i | 1.12687 | + | 0.427364i | ||||
\(516\) | 1.56022 | − | 12.8496i | 0.0686849 | − | 0.565671i | ||||
\(517\) | −4.00054 | − | 10.5486i | −0.175943 | − | 0.463925i | ||||
\(518\) | −43.1978 | + | 5.24516i | −1.89800 | + | 0.230459i | ||||
\(519\) | 14.4576 | − | 7.58795i | 0.634619 | − | 0.333074i | ||||
\(520\) | −50.3271 | − | 18.3947i | −2.20699 | − | 0.806661i | ||||
\(521\) | −21.1832 | − | 11.1178i | −0.928054 | − | 0.487080i | −0.0682295 | − | 0.997670i | \(-0.521735\pi\) |
−0.859825 | + | 0.510589i | \(0.829427\pi\) | |||||||
\(522\) | 4.89936 | + | 1.85808i | 0.214439 | + | 0.0813260i | ||||
\(523\) | 33.0424 | + | 17.3420i | 1.44484 | + | 0.758312i | 0.991137 | − | 0.132840i | \(-0.0424098\pi\) |
0.453705 | + | 0.891152i | \(0.350102\pi\) | |||||||
\(524\) | 26.3655 | − | 69.5200i | 1.15178 | − | 3.03700i | ||||
\(525\) | −0.732354 | + | 2.97128i | −0.0319625 | + | 0.129677i | ||||
\(526\) | 81.4274i | 3.55040i | ||||||||
\(527\) | 4.21246 | + | 17.0906i | 0.183498 | + | 0.744479i | ||||
\(528\) | −20.4412 | + | 7.75233i | −0.889590 | + | 0.337377i | ||||
\(529\) | −18.5125 | −0.804890 | ||||||||
\(530\) | −55.6771 | −2.41846 | ||||||||
\(531\) | −5.82054 | + | 2.20744i | −0.252590 | + | 0.0957948i | ||||
\(532\) | 31.6751 | − | 45.8893i | 1.37329 | − | 1.98955i | ||||
\(533\) | −18.8924 | + | 4.89925i | −0.818322 | + | 0.212210i | ||||
\(534\) | −8.35312 | − | 12.1016i | −0.361475 | − | 0.523687i | ||||
\(535\) | 26.4226 | + | 18.2382i | 1.14235 | + | 0.788506i | ||||
\(536\) | −7.58871 | + | 62.4986i | −0.327782 | + | 2.69953i | ||||
\(537\) | −15.0675 | − | 7.90805i | −0.650212 | − | 0.341257i | ||||
\(538\) | −15.0776 | + | 10.4073i | −0.650043 | + | 0.448692i | ||||
\(539\) | 3.85979 | + | 2.66422i | 0.166253 | + | 0.114756i | ||||
\(540\) | −6.24401 | + | 7.04803i | −0.268699 | + | 0.303299i | ||||
\(541\) | −14.9968 | + | 28.5741i | −0.644764 | + | 1.22850i | 0.315373 | + | 0.948968i | \(0.397870\pi\) |
−0.960138 | + | 0.279528i | \(0.909822\pi\) | |||||||
\(542\) | 7.86059 | + | 64.7377i | 0.337641 | + | 2.78072i | ||||
\(543\) | −5.15874 | + | 13.6025i | −0.221383 | + | 0.583738i | ||||
\(544\) | 39.9264 | − | 27.5592i | 1.71183 | − | 1.18159i | ||||
\(545\) | −3.86808 | + | 31.8565i | −0.165690 | + | 1.36458i | ||||
\(546\) | −4.69114 | + | 20.0726i | −0.200762 | + | 0.859027i | ||||
\(547\) | 2.04186 | + | 16.8162i | 0.0873036 | + | 0.719010i | 0.968977 | + | 0.247150i | \(0.0794941\pi\) |
−0.881674 | + | 0.471860i | \(0.843583\pi\) | |||||||
\(548\) | 37.4322 | + | 42.2523i | 1.59903 | + | 1.80493i | ||||
\(549\) | 12.4723 | − | 3.07415i | 0.532306 | − | 0.131202i | ||||
\(550\) | 4.30075 | − | 6.23071i | 0.183384 | − | 0.265678i | ||||
\(551\) | 10.2037 | + | 1.23896i | 0.434693 | + | 0.0527813i | ||||
\(552\) | 15.5431 | − | 5.89471i | 0.661557 | − | 0.250896i | ||||
\(553\) | 21.0638 | + | 2.55761i | 0.895723 | + | 0.108760i | ||||
\(554\) | 16.2194 | + | 65.8045i | 0.689094 | + | 2.79577i | ||||
\(555\) | 13.9958 | − | 3.44966i | 0.594089 | − | 0.146430i | ||||
\(556\) | 31.1508 | + | 27.5972i | 1.32109 | + | 1.17038i | ||||
\(557\) | −4.87475 | + | 5.50245i | −0.206550 | + | 0.233146i | −0.842652 | − | 0.538458i | \(-0.819007\pi\) |
0.636103 | + | 0.771604i | \(0.280545\pi\) | |||||||
\(558\) | 4.33460 | + | 11.4294i | 0.183498 | + | 0.483845i | ||||
\(559\) | 4.46225 | + | 8.25826i | 0.188733 | + | 0.349287i | ||||
\(560\) | −15.6696 | + | 41.3173i | −0.662161 | + | 1.74597i | ||||
\(561\) | −3.58471 | − | 6.83010i | −0.151347 | − | 0.288367i | ||||
\(562\) | −9.00384 | − | 13.0443i | −0.379804 | − | 0.550241i | ||||
\(563\) | −8.19552 | − | 7.26060i | −0.345400 | − | 0.305998i | 0.472531 | − | 0.881314i | \(-0.343340\pi\) |
−0.817931 | + | 0.575316i | \(0.804879\pi\) | |||||||
\(564\) | 18.3345 | + | 20.6954i | 0.772021 | + | 0.871432i | ||||
\(565\) | −9.43541 | + | 38.2809i | −0.396951 | + | 1.61049i | ||||
\(566\) | −33.7126 | − | 64.2340i | −1.41705 | − | 2.69996i | ||||
\(567\) | 1.78195 | + | 1.22999i | 0.0748347 | + | 0.0516547i | ||||
\(568\) | −38.2751 | − | 100.923i | −1.60599 | − | 4.23464i | ||||
\(569\) | −18.9718 | + | 9.95715i | −0.795337 | + | 0.417425i | −0.812888 | − | 0.582421i | \(-0.802106\pi\) |
0.0175501 | + | 0.999846i | \(0.494413\pi\) | |||||||
\(570\) | −12.0367 | + | 22.9341i | −0.504163 | + | 0.960603i | ||||
\(571\) | 18.9482 | + | 16.7867i | 0.792958 | + | 0.702500i | 0.958934 | − | 0.283630i | \(-0.0915388\pi\) |
−0.165975 | + | 0.986130i | \(0.553077\pi\) | |||||||
\(572\) | 20.2965 | − | 30.1775i | 0.848640 | − | 1.26178i | ||||
\(573\) | −1.25096 | + | 1.10826i | −0.0522597 | + | 0.0462981i | ||||
\(574\) | 7.40627 | + | 30.0484i | 0.309132 | + | 1.25420i | ||||
\(575\) | −1.70078 | + | 2.46401i | −0.0709275 | + | 0.102756i | ||||
\(576\) | 9.08560 | − | 8.04914i | 0.378567 | − | 0.335381i | ||||
\(577\) | 6.98826i | 0.290925i | 0.989364 | + | 0.145462i | \(0.0464670\pi\) | ||||
−0.989364 | + | 0.145462i | \(0.953533\pi\) | |||||||
\(578\) | −4.45291 | − | 5.02630i | −0.185217 | − | 0.209066i | ||||
\(579\) | 2.51123 | − | 4.78475i | 0.104363 | − | 0.198847i | ||||
\(580\) | −18.5496 | + | 2.25233i | −0.770231 | + | 0.0935230i | ||||
\(581\) | −2.55430 | + | 1.34060i | −0.105970 | + | 0.0556174i | ||||
\(582\) | 4.46087 | + | 36.7386i | 0.184909 | + | 1.52286i | ||||
\(583\) | 5.40567 | − | 21.9317i | 0.223880 | − | 0.908317i | ||||
\(584\) | 54.0560 | + | 13.3236i | 2.23685 | + | 0.551335i | ||||
\(585\) | 0.741172 | − | 6.78802i | 0.0306437 | − | 0.280650i | ||||
\(586\) | 61.6456 | − | 15.1943i | 2.54656 | − | 0.627670i | ||||
\(587\) | − | 37.6517i | − | 1.55405i | −0.629468 | − | 0.777026i | \(-0.716727\pi\) | ||
0.629468 | − | 0.777026i | \(-0.283273\pi\) | |||||||
\(588\) | −11.1601 | − | 2.75071i | −0.460234 | − | 0.113437i | ||||
\(589\) | 13.6213 | + | 19.7339i | 0.561256 | + | 0.813119i | ||||
\(590\) | 20.6424 | − | 23.3004i | 0.849833 | − | 0.959264i | ||||
\(591\) | −18.4899 | + | 2.24508i | −0.760573 | + | 0.0923503i | ||||
\(592\) | −81.4228 | + | 9.88652i | −3.34646 | + | 0.406333i | ||||
\(593\) | −10.6960 | + | 12.0733i | −0.439233 | + | 0.495791i | −0.925886 | − | 0.377804i | \(-0.876679\pi\) |
0.486653 | + | 0.873596i | \(0.338218\pi\) | |||||||
\(594\) | −3.04297 | − | 4.40850i | −0.124854 | − | 0.180883i | ||||
\(595\) | −15.1383 | − | 3.73127i | −0.620611 | − | 0.152967i | ||||
\(596\) | 98.8298i | 4.04823i | ||||||||
\(597\) | −13.4814 | + | 3.32286i | −0.551756 | + | 0.135996i | ||||
\(598\) | −11.2552 | + | 16.7346i | −0.460261 | + | 0.684330i | ||||
\(599\) | 30.4141 | + | 7.49641i | 1.24269 | + | 0.306295i | 0.805240 | − | 0.592949i | \(-0.202036\pi\) |
0.437448 | + | 0.899244i | \(0.355882\pi\) | |||||||
\(600\) | −2.65419 | + | 10.7685i | −0.108357 | + | 0.439620i | ||||
\(601\) | −4.15565 | − | 34.2248i | −0.169512 | − | 1.39606i | −0.790607 | − | 0.612324i | \(-0.790235\pi\) |
0.621095 | − | 0.783736i | \(-0.286688\pi\) | |||||||
\(602\) | 13.1792 | − | 6.91698i | 0.537144 | − | 0.281915i | ||||
\(603\) | −7.96447 | + | 0.967062i | −0.324338 | + | 0.0393818i | ||||
\(604\) | −3.73530 | + | 7.11702i | −0.151987 | + | 0.289587i | ||||
\(605\) | 8.64564 | + | 9.75891i | 0.351495 | + | 0.396756i | ||||
\(606\) | − | 10.1742i | − | 0.413299i | ||||||
\(607\) | −34.6168 | + | 30.6678i | −1.40505 | + | 1.24477i | −0.473684 | + | 0.880695i | \(0.657076\pi\) |
−0.931370 | + | 0.364075i | \(0.881385\pi\) | |||||||
\(608\) | 37.5425 | − | 54.3896i | 1.52255 | − | 2.20579i | ||||
\(609\) | 1.02830 | + | 4.17196i | 0.0416687 | + | 0.169056i | ||||
\(610\) | −48.0810 | + | 42.5961i | −1.94674 | + | 1.72467i | ||||
\(611\) | −19.5242 | − | 4.56298i | −0.789866 | − | 0.184599i | ||||
\(612\) | 14.1501 | + | 12.5359i | 0.571983 | + | 0.506733i | ||||
\(613\) | 16.2629 | − | 30.9863i | 0.656852 | − | 1.25153i | −0.298035 | − | 0.954555i | \(-0.596331\pi\) |
0.954886 | − | 0.296971i | \(-0.0959766\pi\) | |||||||
\(614\) | 1.35930 | − | 0.713417i | 0.0548570 | − | 0.0287912i | ||||
\(615\) | −3.63529 | − | 9.58547i | −0.146589 | − | 0.386524i | ||||
\(616\) | −28.3682 | − | 19.5811i | −1.14299 | − | 0.788947i | ||||
\(617\) | −2.04545 | − | 3.89728i | −0.0823467 | − | 0.156898i | 0.840801 | − | 0.541345i | \(-0.182085\pi\) |
−0.923147 | + | 0.384446i | \(0.874392\pi\) | |||||||
\(618\) | 9.12556 | − | 37.0238i | 0.367084 | − | 1.48932i | ||||
\(619\) | 10.9734 | + | 12.3864i | 0.441058 | + | 0.497851i | 0.926436 | − | 0.376453i | \(-0.122856\pi\) |
−0.485378 | + | 0.874305i | \(0.661318\pi\) | |||||||
\(620\) | −32.6284 | − | 28.9062i | −1.31039 | − | 1.16090i | ||||
\(621\) | 1.20338 | + | 1.74339i | 0.0482899 | + | 0.0699600i | ||||
\(622\) | 24.1335 | + | 45.9825i | 0.967665 | + | 1.84373i | ||||
\(623\) | 4.27585 | − | 11.2745i | 0.171308 | − | 0.451703i | ||||
\(624\) | −8.84225 | + | 37.8345i | −0.353973 | + | 1.51459i | ||||
\(625\) | 5.65090 | + | 14.9002i | 0.226036 | + | 0.596008i | ||||
\(626\) | −14.8632 | + | 16.7771i | −0.594053 | + | 0.670548i | ||||
\(627\) | −7.86528 | − | 6.96803i | −0.314109 | − | 0.278276i | ||||
\(628\) | −15.7311 | + | 3.87738i | −0.627741 | + | 0.154724i | ||||
\(629\) | −6.92576 | − | 28.0989i | −0.276148 | − | 1.12038i | ||||
\(630\) | −10.7485 | − | 1.30510i | −0.428229 | − | 0.0519964i | ||||
\(631\) | 29.6422 | − | 11.2418i | 1.18004 | − | 0.447529i | 0.314929 | − | 0.949115i | \(-0.398019\pi\) |
0.865108 | + | 0.501586i | \(0.167250\pi\) | |||||||
\(632\) | 76.3391 | + | 9.26924i | 3.03661 | + | 0.368711i | ||||
\(633\) | 5.71628 | − | 8.28146i | 0.227202 | − | 0.329159i | ||||
\(634\) | −16.5898 | + | 4.08901i | −0.658864 | + | 0.162395i | ||||
\(635\) | −14.2565 | − | 16.0922i | −0.565750 | − | 0.638600i | ||||
\(636\) | 6.67266 | + | 54.9543i | 0.264588 | + | 2.17908i | ||||
\(637\) | 7.75739 | − | 3.04961i | 0.307359 | − | 0.120830i | ||||
\(638\) | 1.28134 | − | 10.5527i | 0.0507285 | − | 0.417787i | ||||
\(639\) | 11.3201 | − | 7.81369i | 0.447816 | − | 0.309105i | ||||
\(640\) | −4.38626 | + | 11.5656i | −0.173382 | + | 0.457171i | ||||
\(641\) | 2.67530 | + | 22.0331i | 0.105668 | + | 0.870256i | 0.945098 | + | 0.326787i | \(0.105966\pi\) |
−0.839430 | + | 0.543468i | \(0.817111\pi\) | |||||||
\(642\) | 20.8022 | − | 39.6353i | 0.820997 | − | 1.56428i | ||||
\(643\) | 13.4474 | − | 15.1790i | 0.530313 | − | 0.598600i | −0.420911 | − | 0.907102i | \(-0.638289\pi\) |
0.951224 | + | 0.308503i | \(0.0998278\pi\) | |||||||
\(644\) | 18.7682 | + | 12.9548i | 0.739571 | + | 0.510489i | ||||
\(645\) | −4.05769 | + | 2.80082i | −0.159771 | + | 0.110282i | ||||
\(646\) | 46.0440 | + | 24.1657i | 1.81158 | + | 0.950788i | ||||
\(647\) | −0.806596 | + | 6.64292i | −0.0317106 | + | 0.261160i | 0.968228 | + | 0.250069i | \(0.0804534\pi\) |
−0.999938 | + | 0.0110907i | \(0.996470\pi\) | |||||||
\(648\) | 6.45810 | + | 4.45771i | 0.253698 | + | 0.175115i | ||||
\(649\) | 7.17407 | + | 10.3934i | 0.281607 | + | 0.407978i | ||||
\(650\) | −4.92287 | − | 12.5224i | −0.193091 | − | 0.491170i | ||||
\(651\) | −5.69415 | + | 8.24940i | −0.223171 | + | 0.323319i | ||||
\(652\) | 18.1504 | − | 6.88355i | 0.710826 | − | 0.269581i | ||||
\(653\) | −25.9632 | −1.01602 | −0.508010 | − | 0.861351i | \(-0.669619\pi\) | ||||
−0.508010 | + | 0.861351i | \(0.669619\pi\) | |||||||
\(654\) | 44.7412 | 1.74952 | ||||||||
\(655\) | −26.4808 | + | 10.0428i | −1.03469 | + | 0.392406i | ||||
\(656\) | 13.9600 | + | 56.6378i | 0.545045 | + | 2.21134i | ||||
\(657\) | 7.09475i | 0.276793i | ||||||||
\(658\) | −7.60854 | + | 30.8690i | −0.296612 | + | 1.20340i | ||||
\(659\) | 3.59899 | − | 9.48976i | 0.140197 | − | 0.369668i | −0.846467 | − | 0.532442i | \(-0.821275\pi\) |
0.986664 | + | 0.162773i | \(0.0520439\pi\) | |||||||
\(660\) | 16.9145 | + | 8.87743i | 0.658397 | + | 0.345553i | ||||
\(661\) | 13.1839 | + | 4.99997i | 0.512792 | + | 0.194476i | 0.597408 | − | 0.801937i | \(-0.296197\pi\) |
−0.0846161 | + | 0.996414i | \(0.526966\pi\) | |||||||
\(662\) | −23.3825 | − | 12.2721i | −0.908786 | − | 0.476968i | ||||
\(663\) | −13.6281 | − | 1.48803i | −0.529271 | − | 0.0577901i | ||||
\(664\) | −9.25726 | + | 4.85858i | −0.359251 | + | 0.188550i | ||||
\(665\) | −21.0845 | + | 2.56012i | −0.817621 | + | 0.0992772i | ||||
\(666\) | −7.12658 | − | 18.7912i | −0.276149 | − | 0.728146i | ||||
\(667\) | −0.506719 | + | 4.17321i | −0.0196202 | + | 0.161587i | ||||
\(668\) | −68.5743 | − | 26.0068i | −2.65322 | − | 1.00623i | ||||
\(669\) | 2.40732 | + | 0.912976i | 0.0930724 | + | 0.0352977i | ||||
\(670\) | 33.0178 | − | 22.7905i | 1.27559 | − | 0.880475i | ||||
\(671\) | −12.1108 | − | 23.0752i | −0.467531 | − | 0.890807i | ||||
\(672\) | 26.8243 | + | 6.61160i | 1.03477 | + | 0.255048i | ||||
\(673\) | 11.0807 | − | 9.81660i | 0.427128 | − | 0.378402i | −0.421995 | − | 0.906598i | \(-0.638670\pi\) |
0.849122 | + | 0.528196i | \(0.177131\pi\) | |||||||
\(674\) | 30.2802 | + | 3.67668i | 1.16635 | + | 0.141620i | ||||
\(675\) | −1.41334 | −0.0543995 | ||||||||
\(676\) | −24.3723 | − | 59.8638i | −0.937398 | − | 2.30245i | ||||
\(677\) | 20.5565 | 0.790051 | 0.395026 | − | 0.918670i | \(-0.370736\pi\) | ||||
0.395026 | + | 0.918670i | \(0.370736\pi\) | |||||||
\(678\) | 54.5686 | + | 6.62582i | 2.09569 | + | 0.254463i | ||||
\(679\) | −22.7157 | + | 20.1243i | −0.871748 | + | 0.772301i | ||||
\(680\) | −54.8642 | − | 13.5228i | −2.10394 | − | 0.518576i | ||||
\(681\) | −3.33563 | − | 6.35551i | −0.127822 | − | 0.243544i | ||||
\(682\) | 20.4089 | − | 14.0872i | 0.781496 | − | 0.539427i | ||||
\(683\) | 19.9524 | + | 7.56693i | 0.763456 | + | 0.289541i | 0.705435 | − | 0.708775i | \(-0.250752\pi\) |
0.0580208 | + | 0.998315i | \(0.481521\pi\) | |||||||
\(684\) | 24.0789 | + | 9.13192i | 0.920679 | + | 0.349168i | ||||
\(685\) | 2.59174 | − | 21.3449i | 0.0990254 | − | 0.815548i | ||||
\(686\) | −18.8781 | − | 49.7774i | −0.720768 | − | 1.90051i | ||||
\(687\) | 13.7344 | − | 1.66766i | 0.524002 | − | 0.0636253i | ||||
\(688\) | 24.8413 | − | 13.0377i | 0.947064 | − | 0.497058i | ||||
\(689\) | −26.9816 | − | 29.7251i | −1.02792 | − | 1.13244i | ||||
\(690\) | −9.37978 | − | 4.92289i | −0.357082 | − | 0.187411i | ||||
\(691\) | −11.8181 | − | 4.48202i | −0.449582 | − | 0.170504i | 0.119413 | − | 0.992845i | \(-0.461899\pi\) |
−0.568996 | + | 0.822341i | \(0.692668\pi\) | |||||||
\(692\) | 71.8822 | + | 37.7267i | 2.73255 | + | 1.43415i | ||||
\(693\) | 1.55765 | − | 4.10720i | 0.0591704 | − | 0.156020i | ||||
\(694\) | 2.01678 | − | 8.18239i | 0.0765559 | − | 0.310599i | ||||
\(695\) | − | 15.8523i | − | 0.601312i | ||||||
\(696\) | 3.72674 | + | 15.1200i | 0.141262 | + | 0.573121i | ||||
\(697\) | −19.2444 | + | 7.29845i | −0.728935 | + | 0.276448i | ||||
\(698\) | 80.4337 | 3.04446 | ||||||||
\(699\) | 2.45683 | 0.0929257 | ||||||||
\(700\) | −14.2263 | + | 5.39534i | −0.537705 | + | 0.203925i | ||||
\(701\) | 2.38660 | − | 3.45759i | 0.0901406 | − | 0.130591i | −0.775319 | − | 0.631570i | \(-0.782411\pi\) |
0.865460 | + | 0.500978i | \(0.167026\pi\) | |||||||
\(702\) | −9.51955 | + | 0.114937i | −0.359292 | + | 0.00433800i | ||||
\(703\) | −22.3950 | − | 32.4447i | −0.844642 | − | 1.22368i | ||||
\(704\) | −20.2661 | − | 13.9887i | −0.763807 | − | 0.527218i | ||||
\(705\) | 1.26945 | − | 10.4548i | 0.0478102 | − | 0.393752i | ||||
\(706\) | −30.7601 | − | 16.1442i | −1.15767 | − | 0.607594i | ||||
\(707\) | 6.86623 | − | 4.73942i | 0.258231 | − | 0.178244i | ||||
\(708\) | −25.4718 | − | 17.5819i | −0.957290 | − | 0.660770i | ||||
\(709\) | −17.5136 | + | 19.7688i | −0.657737 | + | 0.742432i | −0.978843 | − | 0.204611i | \(-0.934407\pi\) |
0.321106 | + | 0.947043i | \(0.395945\pi\) | |||||||
\(710\) | −31.9649 | + | 60.9041i | −1.19962 | + | 2.28569i | ||||
\(711\) | 1.18122 | + | 9.72822i | 0.0442992 | + | 0.364837i | ||||
\(712\) | 15.4965 | − | 40.8609i | 0.580755 | − | 1.53133i | ||||
\(713\) | −8.07093 | + | 5.57096i | −0.302259 | + | 0.208634i | ||||
\(714\) | −2.62021 | + | 21.5793i | −0.0980587 | + | 0.807586i | ||||
\(715\) | −13.7307 | + | 1.83568i | −0.513500 | + | 0.0686507i | ||||
\(716\) | −10.1981 | − | 83.9887i | −0.381120 | − | 3.13881i | ||||
\(717\) | −8.00165 | − | 9.03199i | −0.298827 | − | 0.337306i | ||||
\(718\) | −61.0643 | + | 15.0510i | −2.27890 | + | 0.561698i | ||||
\(719\) | 16.2785 | − | 23.5834i | 0.607084 | − | 0.879513i | −0.392099 | − | 0.919923i | \(-0.628251\pi\) |
0.999183 | + | 0.0404099i | \(0.0128664\pi\) | |||||||
\(720\) | −20.2596 | − | 2.45996i | −0.755031 | − | 0.0916774i | ||||
\(721\) | 29.2371 | − | 11.0882i | 1.08885 | − | 0.412945i | ||||
\(722\) | 20.5182 | + | 2.49136i | 0.763610 | + | 0.0927190i | ||||
\(723\) | 4.50993 | + | 18.2975i | 0.167726 | + | 0.680491i | ||||
\(724\) | −70.2290 | + | 17.3099i | −2.61004 | + | 0.643317i | ||||
\(725\) | −2.09937 | − | 1.85988i | −0.0779685 | − | 0.0690741i | ||||
\(726\) | 12.0539 | − | 13.6061i | 0.447363 | − | 0.504968i | ||||
\(727\) | 0.107469 | + | 0.283374i | 0.00398582 | + | 0.0105097i | 0.936994 | − | 0.349344i | \(-0.113596\pi\) |
−0.933009 | + | 0.359854i | \(0.882826\pi\) | |||||||
\(728\) | −57.0142 | + | 22.4136i | −2.11309 | + | 0.830705i | ||||
\(729\) | −0.354605 | + | 0.935016i | −0.0131335 | + | 0.0346302i | ||||
\(730\) | −16.4874 | − | 31.4142i | −0.610227 | − | 1.16269i | ||||
\(731\) | 5.62311 | + | 8.14649i | 0.207978 | + | 0.301309i | ||||
\(732\) | 47.8054 | + | 42.3519i | 1.76694 | + | 1.56537i | ||||
\(733\) | 18.8078 | + | 21.2297i | 0.694684 | + | 0.784136i | 0.984955 | − | 0.172808i | \(-0.0552842\pi\) |
−0.290272 | + | 0.956944i | \(0.593746\pi\) | |||||||
\(734\) | 4.92172 | − | 19.9682i | 0.181664 | − | 0.737040i | ||||
\(735\) | 2.03465 | + | 3.87670i | 0.0750491 | + | 0.142994i | ||||
\(736\) | 22.2448 | + | 15.3544i | 0.819952 | + | 0.565972i | ||||
\(737\) | 5.77169 | + | 15.2187i | 0.212603 | + | 0.560588i | ||||
\(738\) | −12.6559 | + | 6.64232i | −0.465869 | + | 0.244507i | ||||
\(739\) | −2.92719 | + | 5.57730i | −0.107678 | + | 0.205164i | −0.933333 | − | 0.359012i | \(-0.883114\pi\) |
0.825655 | + | 0.564176i | \(0.190806\pi\) | |||||||
\(740\) | 53.6448 | + | 47.5251i | 1.97202 | + | 1.74706i | ||||
\(741\) | −18.0772 | + | 4.68785i | −0.664083 | + | 0.172212i | ||||
\(742\) | −47.6467 | + | 42.2113i | −1.74917 | + | 1.54963i | ||||
\(743\) | 6.11425 | + | 24.8065i | 0.224310 | + | 0.910062i | 0.969870 | + | 0.243623i | \(0.0783360\pi\) |
−0.745560 | + | 0.666439i | \(0.767818\pi\) | |||||||
\(744\) | −20.6367 | + | 29.8974i | −0.756577 | + | 1.09609i | ||||
\(745\) | 28.1778 | − | 24.9633i | 1.03235 | − | 0.914586i | ||||
\(746\) | − | 101.697i | − | 3.72339i | ||||||
\(747\) | −0.883477 | − | 0.997240i | −0.0323247 | − | 0.0364871i | ||||
\(748\) | 17.8229 | − | 33.9587i | 0.651670 | − | 1.24165i | ||||
\(749\) | 36.4388 | − | 4.42447i | 1.33144 | − | 0.161667i | ||||
\(750\) | 28.3970 | − | 14.9039i | 1.03691 | − | 0.544214i | ||||
\(751\) | −3.32649 | − | 27.3961i | −0.121385 | − | 0.999699i | −0.918377 | − | 0.395708i | \(-0.870499\pi\) |
0.796991 | − | 0.603991i | \(-0.206424\pi\) | |||||||
\(752\) | −14.3412 | + | 58.1846i | −0.522970 | + | 2.12177i | ||||
\(753\) | 17.0693 | + | 4.20721i | 0.622041 | + | 0.153319i | ||||
\(754\) | −14.2915 | − | 12.3565i | −0.520467 | − | 0.449996i | ||||
\(755\) | 2.97266 | − | 0.732695i | 0.108186 | − | 0.0266655i | ||||
\(756\) | 10.7653i | 0.391531i | ||||||||
\(757\) | 49.4750 | + | 12.1945i | 1.79820 | + | 0.443216i | 0.989442 | − | 0.144928i | \(-0.0462951\pi\) |
0.808756 | + | 0.588144i | \(0.200141\pi\) | |||||||
\(758\) | 23.3483 | + | 33.8258i | 0.848047 | + | 1.22861i | ||||
\(759\) | 2.84985 | − | 3.21681i | 0.103443 | − | 0.116763i | ||||
\(760\) | −76.4141 | + | 9.27835i | −2.77183 | + | 0.336561i | ||||
\(761\) | 4.73937 | − | 0.575464i | 0.171802 | − | 0.0208605i | −0.0341835 | − | 0.999416i | \(-0.510883\pi\) |
0.205986 | + | 0.978555i | \(0.433960\pi\) | |||||||
\(762\) | −19.8766 | + | 22.4361i | −0.720054 | + | 0.812773i | ||||
\(763\) | 20.8417 | + | 30.1943i | 0.754518 | + | 1.09311i | ||||
\(764\) | −8.06797 | − | 1.98857i | −0.291889 | − | 0.0719441i | ||||
\(765\) | − | 7.20082i | − | 0.260346i | ||||||
\(766\) | −73.0573 | + | 18.0070i | −2.63967 | + | 0.650620i | ||||
\(767\) | 22.4432 | − | 0.270973i | 0.810376 | − | 0.00978428i | ||||
\(768\) | −6.82647 | − | 1.68257i | −0.246329 | − | 0.0607147i | ||||
\(769\) | 6.59778 | − | 26.7683i | 0.237922 | − | 0.965288i | −0.723525 | − | 0.690298i | \(-0.757479\pi\) |
0.961447 | − | 0.274990i | \(-0.0886745\pi\) | |||||||
\(770\) | 2.64769 | + | 21.8057i | 0.0954161 | + | 0.785823i | ||||
\(771\) | 10.1957 | − | 5.35109i | 0.367188 | − | 0.192715i | ||||
\(772\) | 26.6709 | − | 3.23844i | 0.959908 | − | 0.116554i | ||||
\(773\) | −0.659128 | + | 1.25586i | −0.0237072 | + | 0.0451702i | −0.897022 | − | 0.441987i | \(-0.854274\pi\) |
0.873314 | + | 0.487157i | \(0.161966\pi\) | |||||||
\(774\) | 4.55840 | + | 5.14537i | 0.163848 | + | 0.184947i | ||||
\(775\) | − | 6.54296i | − | 0.235030i | ||||||
\(776\) | −82.3258 | + | 72.9343i | −2.95532 | + | 2.61819i | ||||
\(777\) | 9.36183 | − | 13.5630i | 0.335854 | − | 0.486568i | ||||
\(778\) | −10.0014 | − | 40.5771i | −0.358566 | − | 1.45476i | ||||
\(779\) | −20.9865 | + | 18.5924i | −0.751920 | + | 0.666143i | ||||
\(780\) | 29.8687 | − | 16.1392i | 1.06947 | − | 0.577875i | ||||
\(781\) | −20.8872 | − | 18.5044i | −0.747402 | − | 0.662140i | ||||
\(782\) | −9.88352 | + | 18.8315i | −0.353434 | + | 0.673412i | ||||
\(783\) | −1.75716 | + | 0.922228i | −0.0627957 | + | 0.0329577i | ||||
\(784\) | −8.83402 | − | 23.2934i | −0.315501 | − | 0.831907i | ||||
\(785\) | 5.07901 | + | 3.50579i | 0.181278 | + | 0.125127i | ||||
\(786\) | 18.3500 | + | 34.9631i | 0.654524 | + | 1.24709i | ||||
\(787\) | 5.10461 | − | 20.7102i | 0.181960 | − | 0.738239i | −0.807062 | − | 0.590467i | \(-0.798944\pi\) |
0.989021 | − | 0.147772i | \(-0.0472103\pi\) | |||||||
\(788\) | −61.4088 | − | 69.3162i | −2.18760 | − | 2.46929i | ||||
\(789\) | −23.0830 | − | 20.4498i | −0.821776 | − | 0.728030i | ||||
\(790\) | −27.8375 | − | 40.3296i | −0.990414 | − | 1.43486i | ||||
\(791\) | 20.9480 | + | 39.9130i | 0.744824 | + | 1.41914i | ||||
\(792\) | 5.64523 | − | 14.8853i | 0.200595 | − | 0.528924i | ||||
\(793\) | −46.0418 | − | 5.02722i | −1.63499 | − | 0.178522i | ||||
\(794\) | −8.52483 | − | 22.4781i | −0.302535 | − | 0.797719i | ||||
\(795\) | 13.9828 | − | 15.7833i | 0.495919 | − | 0.559777i | ||||
\(796\) | −51.6730 | − | 45.7782i | −1.83150 | − | 1.62257i | ||||
\(797\) | −14.3837 | + | 3.54525i | −0.509495 | + | 0.125579i | −0.485679 | − | 0.874137i | \(-0.661428\pi\) |
−0.0238159 | + | 0.999716i | \(0.507582\pi\) | |||||||
\(798\) | 7.08669 | + | 28.7518i | 0.250866 | + | 1.01780i | ||||
\(799\) | −20.9898 | − | 2.54863i | −0.742567 | − | 0.0901640i | ||||
\(800\) | −16.8616 | + | 6.39474i | −0.596146 | + | 0.226088i | ||||
\(801\) | 5.52836 | + | 0.671265i | 0.195335 | + | 0.0237180i | ||||
\(802\) | 31.1071 | − | 45.0664i | 1.09843 | − | 1.59135i | ||||
\(803\) | 13.9751 | − | 3.44454i | 0.493169 | − | 0.121555i | ||||
\(804\) | −26.4517 | − | 29.8578i | −0.932879 | − | 1.05300i | ||||
\(805\) | −1.04706 | − | 8.62332i | −0.0369040 | − | 0.303932i | ||||
\(806\) | −0.532091 | − | 44.0701i | −0.0187421 | − | 1.55230i | ||||
\(807\) | 0.836344 | − | 6.88791i | 0.0294407 | − | 0.242466i | ||||
\(808\) | 24.8845 | − | 17.1765i | 0.875434 | − | 0.604268i | ||||
\(809\) | −3.76815 | + | 9.93580i | −0.132481 | + | 0.349324i | −0.984798 | − | 0.173701i | \(-0.944427\pi\) |
0.852317 | + | 0.523025i | \(0.175197\pi\) | |||||||
\(810\) | −0.602755 | − | 4.96413i | −0.0211786 | − | 0.174422i | ||||
\(811\) | −14.6093 | + | 27.8357i | −0.513002 | + | 0.977443i | 0.481865 | + | 0.876246i | \(0.339960\pi\) |
−0.994866 | + | 0.101197i | \(0.967733\pi\) | |||||||
\(812\) | −14.1666 | + | 15.9908i | −0.497150 | + | 0.561166i | ||||
\(813\) | −20.3259 | − | 14.0300i | −0.712862 | − | 0.492053i | ||||
\(814\) | −33.5545 | + | 23.1610i | −1.17608 | + | 0.811793i | ||||
\(815\) | −6.54720 | − | 3.43623i | −0.229338 | − | 0.120366i | ||||
\(816\) | −4.93879 | + | 40.6746i | −0.172892 | + | 1.42389i | ||||
\(817\) | 11.0975 | + | 7.66008i | 0.388254 | + | 0.267992i | ||||
\(818\) | 5.96092 | + | 8.63588i | 0.208419 | + | 0.301946i | ||||
\(819\) | −4.51203 | − | 6.37089i | −0.157663 | − | 0.222617i | ||||
\(820\) | 28.9545 | − | 41.9479i | 1.01114 | − | 1.46488i | ||||
\(821\) | −18.8198 | + | 7.13742i | −0.656816 | + | 0.249098i | −0.660420 | − | 0.750896i | \(-0.729622\pi\) |
0.00360430 | + | 0.999994i | \(0.498853\pi\) | |||||||
\(822\) | −29.9781 | −1.04561 | ||||||||
\(823\) | 19.1014 | 0.665834 | 0.332917 | − | 0.942956i | \(-0.391967\pi\) | ||||
0.332917 | + | 0.942956i | \(0.391967\pi\) | |||||||
\(824\) | 105.961 | − | 40.1856i | 3.69132 | − | 1.39993i | ||||
\(825\) | 0.686185 | + | 2.78396i | 0.0238899 | + | 0.0969250i | ||||
\(826\) | − | 35.5897i | − | 1.23832i | ||||||
\(827\) | 5.26719 | − | 21.3698i | 0.183158 | − | 0.743102i | −0.805459 | − | 0.592651i | \(-0.798081\pi\) |
0.988617 | − | 0.150451i | \(-0.0480725\pi\) | |||||||
\(828\) | −3.73485 | + | 9.84799i | −0.129795 | + | 0.342241i | ||||
\(829\) | 20.8796 | + | 10.9585i | 0.725180 | + | 0.380604i | 0.786563 | − | 0.617510i | \(-0.211859\pi\) |
−0.0613826 | + | 0.998114i | \(0.519551\pi\) | |||||||
\(830\) | 6.22934 | + | 2.36248i | 0.216224 | + | 0.0820028i | ||||
\(831\) | −22.7276 | − | 11.9284i | −0.788411 | − | 0.413790i | ||||
\(832\) | −40.7307 | + | 16.0122i | −1.41208 | + | 0.555123i | ||||
\(833\) | 7.78311 | − | 4.08489i | 0.269669 | − | 0.141533i | ||||
\(834\) | −21.9404 | + | 2.66405i | −0.759735 | + | 0.0922485i | ||||
\(835\) | 9.90621 | + | 26.1205i | 0.342819 | + | 0.903938i | ||||
\(836\) | 6.29738 | − | 51.8636i | 0.217799 | − | 1.79374i | ||||
\(837\) | −4.32860 | − | 1.64162i | −0.149618 | − | 0.0567427i | ||||
\(838\) | 9.10992 | + | 3.45494i | 0.314697 | + | 0.119349i | ||||
\(839\) | 47.2258 | − | 32.5976i | 1.63041 | − | 1.12539i | 0.737299 | − | 0.675567i | \(-0.236101\pi\) |
0.893116 | − | 0.449827i | \(-0.148514\pi\) | |||||||
\(840\) | −14.9540 | − | 28.4924i | −0.515961 | − | 0.983081i | ||||
\(841\) | 24.3336 | + | 5.99770i | 0.839091 | + | 0.206817i | ||||
\(842\) | 70.3601 | − | 62.3336i | 2.42477 | − | 2.14816i | ||||
\(843\) | 5.95903 | + | 0.723557i | 0.205240 | + | 0.0249206i | ||||
\(844\) | 50.0311 | 1.72214 | ||||||||
\(845\) | −10.9118 | + | 22.0698i | −0.375378 | + | 0.759225i | ||||
\(846\) | −14.6834 | −0.504826 | ||||||||
\(847\) | 14.7973 | + | 1.79672i | 0.508442 | + | 0.0617360i | ||||
\(848\) | −89.8085 | + | 79.5634i | −3.08404 | + | 2.73222i | ||||
\(849\) | 26.6757 | + | 6.57496i | 0.915506 | + | 0.225652i | ||||
\(850\) | −6.59407 | − | 12.5640i | −0.226175 | − | 0.430940i | ||||
\(851\) | 13.2695 | − | 9.15929i | 0.454874 | − | 0.313977i | ||||
\(852\) | 63.9443 | + | 24.2509i | 2.19070 | + | 0.830821i | ||||
\(853\) | −23.5932 | − | 8.94772i | −0.807816 | − | 0.306364i | −0.0840955 | − | 0.996458i | \(-0.526800\pi\) |
−0.723720 | + | 0.690094i | \(0.757569\pi\) | |||||||
\(854\) | −8.85224 | + | 72.9048i | −0.302917 | + | 2.49475i | ||||
\(855\) | −3.47843 | − | 9.17185i | −0.118960 | − | 0.313671i | ||||
\(856\) | 132.061 | − | 16.0351i | 4.51375 | − | 0.548068i | ||||
\(857\) | 47.5673 | − | 24.9653i | 1.62487 | − | 0.852797i | 0.627632 | − | 0.778510i | \(-0.284024\pi\) |
0.997237 | − | 0.0742872i | \(-0.0236682\pi\) | |||||||
\(858\) | 4.84819 | + | 18.6956i | 0.165515 | + | 0.638256i | ||||
\(859\) | −43.3810 | − | 22.7681i | −1.48014 | − | 0.776838i | −0.484927 | − | 0.874555i | \(-0.661154\pi\) |
−0.995214 | + | 0.0977164i | \(0.968846\pi\) | |||||||
\(860\) | −22.9209 | − | 8.69274i | −0.781595 | − | 0.296420i | ||||
\(861\) | −10.3781 | − | 5.44687i | −0.353686 | − | 0.185629i | ||||
\(862\) | −8.07911 | + | 21.3029i | −0.275176 | + | 0.725578i | ||||
\(863\) | −11.0555 | + | 44.8538i | −0.376332 | + | 1.52684i | 0.411765 | + | 0.911290i | \(0.364912\pi\) |
−0.788098 | + | 0.615550i | \(0.788934\pi\) | |||||||
\(864\) | 12.7595i | 0.434085i | ||||||||
\(865\) | −7.40025 | − | 30.0240i | −0.251616 | − | 1.02085i | ||||
\(866\) | −52.2783 | + | 19.8265i | −1.77649 | + | 0.673733i | ||||
\(867\) | 2.54316 | 0.0863703 | ||||||||
\(868\) | −49.8374 | −1.69159 | ||||||||
\(869\) | 18.5889 | − | 7.04984i | 0.630585 | − | 0.239149i | ||||
\(870\) | 5.63720 | − | 8.16689i | 0.191119 | − | 0.276883i | ||||
\(871\) | 28.1682 | + | 6.58315i | 0.954442 | + | 0.223061i | ||||
\(872\) | 75.5340 | + | 109.430i | 2.55790 | + | 3.70576i | ||||
\(873\) | −11.5349 | − | 7.96200i | −0.390399 | − | 0.269473i | ||||
\(874\) | −3.49215 | + | 28.7604i | −0.118124 | + | 0.972836i | ||||
\(875\) | 23.2863 | + | 12.2216i | 0.787219 | + | 0.413164i | ||||
\(876\) | −29.0304 | + | 20.0382i | −0.980846 | + | 0.677029i | ||||
\(877\) | 29.4496 | + | 20.3276i | 0.994443 | + | 0.686414i | 0.949887 | − | 0.312593i | \(-0.101197\pi\) |
0.0445555 | + | 0.999007i | \(0.485813\pi\) | |||||||
\(878\) | −17.2982 | + | 19.5257i | −0.583787 | + | 0.658960i | ||||
\(879\) | −11.1745 | + | 21.2912i | −0.376906 | + | 0.718134i | ||||
\(880\) | 4.99059 | + | 41.1012i | 0.168233 | + | 1.38552i | ||||
\(881\) | 2.00709 | − | 5.29225i | 0.0676205 | − | 0.178301i | −0.896946 | − | 0.442140i | \(-0.854220\pi\) |
0.964567 | + | 0.263839i | \(0.0849888\pi\) | |||||||
\(882\) | 5.02362 | − | 3.46756i | 0.169154 | − | 0.116759i | ||||
\(883\) | −0.826139 | + | 6.80386i | −0.0278018 | + | 0.228968i | −0.999986 | − | 0.00524830i | \(-0.998329\pi\) |
0.972184 | + | 0.234217i | \(0.0752525\pi\) | |||||||
\(884\) | −32.4021 | − | 59.9663i | −1.08980 | − | 2.01688i | ||||
\(885\) | 1.42105 | + | 11.7034i | 0.0477680 | + | 0.393405i | ||||
\(886\) | 21.5005 | + | 24.2690i | 0.722323 | + | 0.815334i | ||||
\(887\) | −12.1059 | + | 2.98384i | −0.406477 | + | 0.100187i | −0.437252 | − | 0.899339i | \(-0.644048\pi\) |
0.0307758 | + | 0.999526i | \(0.490202\pi\) | |||||||
\(888\) | 33.9290 | − | 49.1547i | 1.13858 | − | 1.64952i | ||||
\(889\) | −24.4005 | − | 2.96275i | −0.818365 | − | 0.0993675i | ||||
\(890\) | −26.0385 | + | 9.87508i | −0.872811 | + | 0.331014i | ||||
\(891\) | 2.01393 | + | 0.244536i | 0.0674693 | + | 0.00819226i | ||||
\(892\) | 3.06345 | + | 12.4289i | 0.102572 | + | 0.416150i | ||||
\(893\) | −27.9664 | + | 6.89310i | −0.935860 | + | 0.230669i | ||||
\(894\) | −39.2860 | − | 34.8044i | −1.31392 | − | 1.16403i | ||||
\(895\) | −21.3705 | + | 24.1223i | −0.714336 | + | 0.806318i | ||||
\(896\) | 5.01479 | + | 13.2229i | 0.167532 | + | 0.441746i | ||||
\(897\) | −1.91728 | − | 7.39338i | −0.0640160 | − | 0.246858i | ||||
\(898\) | 28.7714 | − | 75.8639i | 0.960114 | − | 2.53161i | ||||
\(899\) | −4.26939 | − | 8.13465i | −0.142392 | − | 0.271306i | ||||
\(900\) | −3.99180 | − | 5.78312i | −0.133060 | − | 0.192771i | ||||
\(901\) | −31.6877 | − | 28.0728i | −1.05567 | − | 0.935241i | ||||
\(902\) | 19.2284 | + | 21.7044i | 0.640235 | + | 0.722676i | ||||
\(903\) | −1.34901 | + | 5.47317i | −0.0448924 | + | 0.182136i | ||||
\(904\) | 75.9193 | + | 144.652i | 2.52504 | + | 4.81106i | ||||
\(905\) | 22.6744 | + | 15.6510i | 0.753722 | + | 0.520257i | ||||
\(906\) | −1.51366 | − | 3.99119i | −0.0502879 | − | 0.132598i | ||||
\(907\) | −26.6702 | + | 13.9976i | −0.885570 | + | 0.464783i | −0.845230 | − | 0.534403i | \(-0.820536\pi\) |
−0.0403399 | + | 0.999186i | \(0.512844\pi\) | |||||||
\(908\) | 16.5845 | − | 31.5991i | 0.550376 | − | 1.04865i | ||||
\(909\) | 2.88418 | + | 2.55516i | 0.0956621 | + | 0.0847492i | ||||
\(910\) | 34.7836 | + | 17.7236i | 1.15307 | + | 0.587531i | ||||
\(911\) | −3.48264 | + | 3.08535i | −0.115385 | + | 0.102222i | −0.718843 | − | 0.695173i | \(-0.755328\pi\) |
0.603457 | + | 0.797395i | \(0.293789\pi\) | |||||||
\(912\) | 13.3576 | + | 54.1939i | 0.442314 | + | 1.79454i | ||||
\(913\) | −1.53540 | + | 2.22442i | −0.0508145 | + | 0.0736175i | ||||
\(914\) | 3.12091 | − | 2.76489i | 0.103231 | − | 0.0914543i | ||||
\(915\) | − | 24.3276i | − | 0.804246i | ||||||
\(916\) | 45.6150 | + | 51.4886i | 1.50716 | + | 1.70123i | ||||
\(917\) | −15.0475 | + | 28.6706i | −0.496912 | + | 0.946786i | ||||
\(918\) | −9.96632 | + | 1.21013i | −0.328938 | + | 0.0399403i | ||||
\(919\) | −20.8748 | + | 10.9559i | −0.688596 | + | 0.361403i | −0.772450 | − | 0.635075i | \(-0.780969\pi\) |
0.0838547 | + | 0.996478i | \(0.473277\pi\) | |||||||
\(920\) | −3.79474 | − | 31.2525i | −0.125109 | − | 1.03036i | ||||
\(921\) | −0.139137 | + | 0.564502i | −0.00458473 | + | 0.0186010i | ||||
\(922\) | 7.03197 | + | 1.73322i | 0.231585 | + | 0.0570807i | ||||
\(923\) | −48.0062 | + | 12.4491i | −1.58014 | + | 0.409768i | ||||
\(924\) | 21.2053 | − | 5.22663i | 0.697603 | − | 0.171944i | ||||
\(925\) | 10.7574i | 0.353700i | ||||||||
\(926\) | 24.4569 | + | 6.02808i | 0.803703 | + | 0.198095i | ||||
\(927\) | 8.20370 | + | 11.8851i | 0.269445 | + | 0.390358i | ||||
\(928\) | −16.7907 | + | 18.9528i | −0.551183 | + | 0.622157i | ||||
\(929\) | 3.85821 | − | 0.468472i | 0.126584 | − | 0.0153701i | −0.0569996 | − | 0.998374i | \(-0.518153\pi\) |
0.183583 | + | 0.983004i | \(0.441230\pi\) | |||||||
\(930\) | 22.9811 | − | 2.79041i | 0.753580 | − | 0.0915012i | ||||
\(931\) | 7.94029 | − | 8.96273i | 0.260232 | − | 0.293742i | ||||
\(932\) | 6.93900 | + | 10.0529i | 0.227294 | + | 0.329293i | ||||
\(933\) | −19.0960 | − | 4.70674i | −0.625175 | − | 0.154092i | ||||
\(934\) | 33.4428i | 1.09428i | ||||||||
\(935\) | −14.1840 | + | 3.49604i | −0.463866 | + | 0.114333i | ||||
\(936\) | −16.3524 | − | 23.0893i | −0.534496 | − | 0.754697i | ||||
\(937\) | 16.2277 | + | 3.99977i | 0.530135 | + | 0.130667i | 0.495293 | − | 0.868726i | \(-0.335061\pi\) |
0.0348427 | + | 0.999393i | \(0.488907\pi\) | |||||||
\(938\) | 10.9770 | − | 44.5356i | 0.358413 | − | 1.45414i | ||||
\(939\) | −1.02320 | − | 8.42683i | −0.0333910 | − | 0.274999i | ||||
\(940\) | 46.3646 | − | 24.3340i | 1.51225 | − | 0.793689i | ||||
\(941\) | 35.0672 | − | 4.25793i | 1.14316 | − | 0.138804i | 0.473027 | − | 0.881048i | \(-0.343161\pi\) |
0.670130 | + | 0.742244i | \(0.266238\pi\) | |||||||
\(942\) | 3.99865 | − | 7.61879i | 0.130283 | − | 0.248234i | ||||
\(943\) | −7.60409 | − | 8.58324i | −0.247623 | − | 0.279509i | ||||
\(944\) | − | 67.0824i | − | 2.18335i | ||||||
\(945\) | 3.06935 | − | 2.71921i | 0.0998460 | − | 0.0884558i | ||||
\(946\) | 7.92209 | − | 11.4771i | 0.257569 | − | 0.373154i | ||||
\(947\) | −5.34255 | − | 21.6756i | −0.173609 | − | 0.704361i | −0.991623 | − | 0.129163i | \(-0.958771\pi\) |
0.818014 | − | 0.575198i | \(-0.195075\pi\) | |||||||
\(948\) | −36.4698 | + | 32.3094i | −1.18448 | + | 1.04936i | ||||
\(949\) | 8.78154 | − | 24.0259i | 0.285061 | − | 0.779915i | ||||
\(950\) | −14.4682 | − | 12.8177i | −0.469409 | − | 0.415860i | ||||
\(951\) | 3.00722 | − | 5.72978i | 0.0975158 | − | 0.185801i | ||||
\(952\) | −57.2032 | + | 30.0226i | −1.85397 | + | 0.973037i | ||||
\(953\) | 3.32975 | + | 8.77982i | 0.107861 | + | 0.284406i | 0.978070 | − | 0.208277i | \(-0.0667855\pi\) |
−0.870209 | + | 0.492683i | \(0.836016\pi\) | |||||||
\(954\) | −24.1949 | − | 16.7005i | −0.783337 | − | 0.540699i | ||||
\(955\) | 1.47091 | + | 2.80258i | 0.0475975 | + | 0.0906895i | ||||
\(956\) | 14.3576 | − | 58.2510i | 0.464357 | − | 1.88397i | ||||
\(957\) | 2.66969 | + | 3.01346i | 0.0862989 | + | 0.0974113i | ||||
\(958\) | 80.8577 | + | 71.6337i | 2.61239 | + | 2.31438i | ||||
\(959\) | −13.9646 | − | 20.2312i | −0.450941 | − | 0.653301i | ||||
\(960\) | −10.6830 | − | 20.3548i | −0.344794 | − | 0.656950i | ||||
\(961\) | −3.39298 | + | 8.94656i | −0.109451 | + | 0.288599i | ||||
\(962\) | 0.874819 | + | 72.4563i | 0.0282053 | + | 2.33609i | ||||
\(963\) | 6.01151 | + | 15.8510i | 0.193718 | + | 0.510793i | ||||
\(964\) | −62.1322 | + | 70.1327i | −2.00114 | + | 2.25882i | ||||
\(965\) | −7.66012 | − | 6.78627i | −0.246588 | − | 0.218458i | ||||
\(966\) | −11.7592 | + | 2.89838i | −0.378345 | + | 0.0932537i | ||||
\(967\) | −12.9321 | − | 52.4676i | −0.415868 | − | 1.68724i | −0.688591 | − | 0.725150i | \(-0.741770\pi\) |
0.272722 | − | 0.962093i | \(-0.412076\pi\) | |||||||
\(968\) | 53.6283 | + | 6.51165i | 1.72368 | + | 0.209292i | ||||
\(969\) | −18.4140 | + | 6.98352i | −0.591544 | + | 0.224343i | ||||
\(970\) | 69.5773 | + | 8.44822i | 2.23399 | + | 0.271256i | ||||
\(971\) | −17.6737 | + | 25.6048i | −0.567177 | + | 0.821698i | −0.996684 | − | 0.0813656i | \(-0.974072\pi\) |
0.429507 | + | 0.903063i | \(0.358687\pi\) | |||||||
\(972\) | −4.82745 | + | 1.18986i | −0.154840 | + | 0.0381647i | ||||
\(973\) | −12.0183 | − | 13.5659i | −0.385290 | − | 0.434902i | ||||
\(974\) | −5.33331 | − | 43.9238i | −0.170890 | − | 1.40741i | ||||
\(975\) | 4.78619 | + | 1.74936i | 0.153281 | + | 0.0560245i | ||||
\(976\) | −16.6855 | + | 137.417i | −0.534088 | + | 4.39861i | ||||
\(977\) | 39.3541 | − | 27.1642i | 1.25905 | − | 0.869059i | 0.263626 | − | 0.964625i | \(-0.415082\pi\) |
0.995423 | + | 0.0955665i | \(0.0304662\pi\) | |||||||
\(978\) | −3.65565 | + | 9.63915i | −0.116895 | + | 0.308226i | ||||
\(979\) | −1.36181 | − | 11.2155i | −0.0435237 | − | 0.358450i | ||||
\(980\) | −10.1161 | + | 19.2746i | −0.323147 | + | 0.615705i | ||||
\(981\) | −11.2363 | + | 12.6832i | −0.358749 | + | 0.404944i | ||||
\(982\) | −38.9665 | − | 26.8966i | −1.24347 | − | 0.858306i | ||||
\(983\) | −9.74396 | + | 6.72577i | −0.310784 | + | 0.214519i | −0.713239 | − | 0.700921i | \(-0.752772\pi\) |
0.402455 | + | 0.915440i | \(0.368157\pi\) | |||||||
\(984\) | −37.6123 | − | 19.7405i | −1.19904 | − | 0.629303i | ||||
\(985\) | −4.25184 | + | 35.0171i | −0.135475 | + | 1.11574i | ||||
\(986\) | −16.3964 | − | 11.3176i | −0.522167 | − | 0.360426i | ||||
\(987\) | −6.83993 | − | 9.90935i | −0.217717 | − | 0.315418i | ||||
\(988\) | −70.2386 | − | 60.7284i | −2.23459 | − | 1.93203i | ||||
\(989\) | −3.13289 | + | 4.53877i | −0.0996200 | + | 0.144324i | ||||
\(990\) | −9.48558 | + | 3.59741i | −0.301471 | + | 0.114333i | ||||
\(991\) | 32.2517 | 1.02451 | 0.512254 | − | 0.858834i | \(-0.328811\pi\) | ||||
0.512254 | + | 0.858834i | \(0.328811\pi\) | |||||||
\(992\) | −59.0690 | −1.87544 | ||||||||
\(993\) | 9.35119 | − | 3.54644i | 0.296751 | − | 0.112543i | ||||
\(994\) | 18.8195 | + | 76.3539i | 0.596919 | + | 2.42180i | ||||
\(995\) | 26.2958i | 0.833632i | ||||||||
\(996\) | 1.58525 | − | 6.43160i | 0.0502305 | − | 0.203793i | ||||
\(997\) | −16.4742 | + | 43.4388i | −0.521742 | + | 1.37572i | 0.372456 | + | 0.928050i | \(0.378516\pi\) |
−0.894198 | + | 0.447671i | \(0.852253\pi\) | |||||||
\(998\) | −19.2970 | − | 10.1278i | −0.610835 | − | 0.320591i | ||||
\(999\) | 7.11671 | + | 2.69901i | 0.225163 | + | 0.0853929i |
(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 | 507.2.p.b.64.1 | ✓ | 192 | |
169.103 | even | 26 | inner | 507.2.p.b.103.1 | yes | 192 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
507.2.p.b.64.1 | ✓ | 192 | 1.1 | even | 1 | trivial | |
507.2.p.b.103.1 | yes | 192 | 169.103 | even | 26 | inner |