Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [144,2,Mod(13,144)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(144, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([0, 9, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("144.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 144 = 2^{4} \cdot 3^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 144.x (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.14984578911\) |
Analytic rank: | \(0\) |
Dimension: | \(72\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 13.12 | ||
Character | \(\chi\) | \(=\) | 144.13 |
Dual form | 144.2.x.e.133.12 |
$q$-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 \(\left(\mathbb{Z}/144\mathbb{Z}\right)^\times\).
\(n\) | \(37\) | \(65\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(e\left(\frac{1}{3}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.932590 | − | 1.06314i | 0.659441 | − | 0.751756i | ||||
\(3\) | 1.51401 | + | 0.841300i | 0.874112 | + | 0.485725i | ||||
\(4\) | −0.260550 | − | 1.98296i | −0.130275 | − | 0.991478i | ||||
\(5\) | 0.0185225 | + | 0.0691269i | 0.00828352 | + | 0.0309145i | 0.969944 | − | 0.243329i | \(-0.0782394\pi\) |
−0.961660 | + | 0.274243i | \(0.911573\pi\) | |||||||
\(6\) | 2.30637 | − | 0.825017i | 0.941572 | − | 0.336812i | ||||
\(7\) | −1.28192 | + | 0.740118i | −0.484521 | + | 0.279738i | −0.722299 | − | 0.691581i | \(-0.756914\pi\) |
0.237778 | + | 0.971320i | \(0.423581\pi\) | |||||||
\(8\) | −2.35115 | − | 1.57228i | −0.831258 | − | 0.555886i | ||||
\(9\) | 1.58443 | + | 2.54747i | 0.528142 | + | 0.849156i | ||||
\(10\) | 0.0907658 | + | 0.0447750i | 0.0287027 | + | 0.0141591i | ||||
\(11\) | −2.19098 | − | 0.587070i | −0.660604 | − | 0.177008i | −0.0870855 | − | 0.996201i | \(-0.527755\pi\) |
−0.573519 | + | 0.819192i | \(0.694422\pi\) | |||||||
\(12\) | 1.27379 | − | 3.22141i | 0.367711 | − | 0.929940i | ||||
\(13\) | −0.388539 | + | 0.104109i | −0.107761 | + | 0.0288745i | −0.312297 | − | 0.949985i | \(-0.601098\pi\) |
0.204535 | + | 0.978859i | \(0.434432\pi\) | |||||||
\(14\) | −0.408656 | + | 2.05310i | −0.109218 | + | 0.548713i | ||||
\(15\) | −0.0301133 | + | 0.120242i | −0.00777523 | + | 0.0310462i | ||||
\(16\) | −3.86423 | + | 1.03332i | −0.966057 | + | 0.258330i | ||||
\(17\) | −0.851000 | −0.206398 | −0.103199 | − | 0.994661i | \(-0.532908\pi\) | ||||
−0.103199 | + | 0.994661i | \(0.532908\pi\) | |||||||
\(18\) | 4.18595 | + | 0.691270i | 0.986637 | + | 0.162934i | ||||
\(19\) | 3.75230 | + | 3.75230i | 0.860837 | + | 0.860837i | 0.991435 | − | 0.130598i | \(-0.0416898\pi\) |
−0.130598 | + | 0.991435i | \(0.541690\pi\) | |||||||
\(20\) | 0.132250 | − | 0.0547403i | 0.0295719 | − | 0.0122403i | ||||
\(21\) | −2.56350 | + | 0.0420615i | −0.559401 | + | 0.00917857i | ||||
\(22\) | −2.66742 | + | 1.78183i | −0.568697 | + | 0.379887i | ||||
\(23\) | −7.44629 | − | 4.29912i | −1.55266 | − | 0.896428i | −0.997924 | − | 0.0643999i | \(-0.979487\pi\) |
−0.554734 | − | 0.832028i | \(-0.687180\pi\) | |||||||
\(24\) | −2.23690 | − | 4.35847i | −0.456605 | − | 0.889670i | ||||
\(25\) | 4.32569 | − | 2.49744i | 0.865138 | − | 0.499488i | ||||
\(26\) | −0.251665 | + | 0.510163i | −0.0493556 | + | 0.100051i | ||||
\(27\) | 0.255647 | + | 5.18986i | 0.0491992 | + | 0.998789i | ||||
\(28\) | 1.80163 | + | 2.34916i | 0.340475 | + | 0.443949i | ||||
\(29\) | 1.27873 | − | 4.77230i | 0.237455 | − | 0.886193i | −0.739572 | − | 0.673077i | \(-0.764972\pi\) |
0.977027 | − | 0.213116i | \(-0.0683612\pi\) | |||||||
\(30\) | 0.0997507 | + | 0.144151i | 0.0182119 | + | 0.0263182i | ||||
\(31\) | −4.50318 | + | 7.79974i | −0.808796 | + | 1.40088i | 0.104902 | + | 0.994483i | \(0.466547\pi\) |
−0.913698 | + | 0.406393i | \(0.866786\pi\) | |||||||
\(32\) | −2.50518 | + | 5.07189i | −0.442857 | + | 0.896592i | ||||
\(33\) | −2.82325 | − | 2.73210i | −0.491464 | − | 0.475597i | ||||
\(34\) | −0.793635 | + | 0.904736i | −0.136107 | + | 0.155161i | ||||
\(35\) | −0.0749065 | − | 0.0749065i | −0.0126615 | − | 0.0126615i | ||||
\(36\) | 4.63869 | − | 3.80559i | 0.773115 | − | 0.634265i | ||||
\(37\) | 4.13315 | − | 4.13315i | 0.679485 | − | 0.679485i | −0.280399 | − | 0.959884i | \(-0.590467\pi\) |
0.959884 | + | 0.280399i | \(0.0904666\pi\) | |||||||
\(38\) | 7.48860 | − | 0.489876i | 1.21481 | − | 0.0794684i | ||||
\(39\) | −0.675837 | − | 0.169257i | −0.108220 | − | 0.0271028i | ||||
\(40\) | 0.0651379 | − | 0.191651i | 0.0102992 | − | 0.0303026i | ||||
\(41\) | 2.05305 | + | 1.18533i | 0.320633 | + | 0.185118i | 0.651675 | − | 0.758499i | \(-0.274067\pi\) |
−0.331042 | + | 0.943616i | \(0.607400\pi\) | |||||||
\(42\) | −2.34598 | + | 2.76460i | −0.361992 | + | 0.426586i | ||||
\(43\) | 2.49884 | + | 0.669562i | 0.381070 | + | 0.102107i | 0.444269 | − | 0.895894i | \(-0.353464\pi\) |
−0.0631989 | + | 0.998001i | \(0.520130\pi\) | |||||||
\(44\) | −0.593275 | + | 4.49757i | −0.0894396 | + | 0.678034i | ||||
\(45\) | −0.146751 | + | 0.156712i | −0.0218764 | + | 0.0233613i | ||||
\(46\) | −11.5149 | + | 3.90716i | −1.69778 | + | 0.576079i | ||||
\(47\) | 3.42005 | + | 5.92370i | 0.498865 | + | 0.864060i | 0.999999 | − | 0.00130966i | \(-0.000416878\pi\) |
−0.501134 | + | 0.865370i | \(0.667084\pi\) | |||||||
\(48\) | −6.71979 | − | 1.68653i | −0.969919 | − | 0.243429i | ||||
\(49\) | −2.40445 | + | 4.16463i | −0.343493 | + | 0.594947i | ||||
\(50\) | 1.37896 | − | 6.92792i | 0.195015 | − | 0.979756i | ||||
\(51\) | −1.28842 | − | 0.715947i | −0.180415 | − | 0.100253i | ||||
\(52\) | 0.307677 | + | 0.743330i | 0.0426671 | + | 0.103081i | ||||
\(53\) | 3.95421 | − | 3.95421i | 0.543152 | − | 0.543152i | −0.381300 | − | 0.924452i | \(-0.624523\pi\) |
0.924452 | + | 0.381300i | \(0.124523\pi\) | |||||||
\(54\) | 5.75598 | + | 4.56822i | 0.783290 | + | 0.621657i | ||||
\(55\) | − | 0.162329i | − | 0.0218885i | ||||||
\(56\) | 4.17767 | + | 0.275413i | 0.558265 | + | 0.0368037i | ||||
\(57\) | 2.52419 | + | 8.83782i | 0.334338 | + | 1.17060i | ||||
\(58\) | −3.88110 | − | 5.81007i | −0.509614 | − | 0.762900i | ||||
\(59\) | −3.69264 | − | 13.7811i | −0.480741 | − | 1.79415i | −0.598518 | − | 0.801109i | \(-0.704244\pi\) |
0.117777 | − | 0.993040i | \(-0.462423\pi\) | |||||||
\(60\) | 0.246280 | + | 0.0283845i | 0.0317946 | + | 0.00366442i | ||||
\(61\) | 0.881382 | − | 3.28936i | 0.112849 | − | 0.421160i | −0.886268 | − | 0.463173i | \(-0.846711\pi\) |
0.999117 | + | 0.0420139i | \(0.0133774\pi\) | |||||||
\(62\) | 4.09262 | + | 12.0615i | 0.519764 | + | 1.53181i | ||||
\(63\) | −3.91654 | − | 2.09299i | −0.493438 | − | 0.263692i | ||||
\(64\) | 3.05585 | + | 7.39336i | 0.381981 | + | 0.924170i | ||||
\(65\) | −0.0143934 | − | 0.0249301i | −0.00178528 | − | 0.00309220i | ||||
\(66\) | −5.53755 | + | 0.453592i | −0.681625 | + | 0.0558333i | ||||
\(67\) | 6.47532 | − | 1.73506i | 0.791086 | − | 0.211971i | 0.159419 | − | 0.987211i | \(-0.449038\pi\) |
0.631667 | + | 0.775240i | \(0.282371\pi\) | |||||||
\(68\) | 0.221728 | + | 1.68750i | 0.0268885 | + | 0.204639i | ||||
\(69\) | −7.65687 | − | 12.7735i | −0.921779 | − | 1.53774i | ||||
\(70\) | −0.149494 | + | 0.00977931i | −0.0178679 | + | 0.00116885i | ||||
\(71\) | 0.362864i | 0.0430640i | 0.999768 | + | 0.0215320i | \(0.00685439\pi\) | ||||
−0.999768 | + | 0.0215320i | \(0.993146\pi\) | |||||||
\(72\) | 0.280108 | − | 8.48066i | 0.0330111 | − | 0.999455i | ||||
\(73\) | − | 15.8744i | − | 1.85796i | −0.370128 | − | 0.928981i | \(-0.620686\pi\) | ||
0.370128 | − | 0.928981i | \(-0.379314\pi\) | |||||||
\(74\) | −0.539597 | − | 8.24866i | −0.0627268 | − | 0.958887i | ||||
\(75\) | 8.65022 | − | 0.141931i | 0.998841 | − | 0.0163888i | ||||
\(76\) | 6.46299 | − | 8.41831i | 0.741355 | − | 0.965647i | ||||
\(77\) | 3.24316 | − | 0.869003i | 0.369593 | − | 0.0990321i | ||||
\(78\) | −0.810223 | + | 0.560664i | −0.0917397 | + | 0.0634827i | ||||
\(79\) | −5.45338 | − | 9.44553i | −0.613553 | − | 1.06271i | −0.990637 | − | 0.136526i | \(-0.956406\pi\) |
0.377083 | − | 0.926179i | \(-0.376927\pi\) | |||||||
\(80\) | −0.143005 | − | 0.247983i | −0.0159885 | − | 0.0277253i | ||||
\(81\) | −3.97918 | + | 8.07255i | −0.442131 | + | 0.896950i | ||||
\(82\) | 3.17483 | − | 1.07726i | 0.350602 | − | 0.118964i | ||||
\(83\) | 1.43917 | − | 5.37105i | 0.157969 | − | 0.589549i | −0.840863 | − | 0.541247i | \(-0.817952\pi\) |
0.998833 | − | 0.0483022i | \(-0.0153810\pi\) | |||||||
\(84\) | 0.751326 | + | 5.07235i | 0.0819764 | + | 0.553438i | ||||
\(85\) | −0.0157627 | − | 0.0588270i | −0.00170970 | − | 0.00638069i | ||||
\(86\) | 3.04224 | − | 2.03220i | 0.328053 | − | 0.219138i | ||||
\(87\) | 5.95094 | − | 6.14948i | 0.638008 | − | 0.659294i | ||||
\(88\) | 4.22828 | + | 4.82513i | 0.450736 | + | 0.514360i | ||||
\(89\) | 13.1832i | 1.39741i | 0.715408 | + | 0.698707i | \(0.246241\pi\) | ||||
−0.715408 | + | 0.698707i | \(0.753759\pi\) | |||||||
\(90\) | 0.0297489 | + | 0.302166i | 0.00313581 | + | 0.0318511i | ||||
\(91\) | 0.421024 | − | 0.421024i | 0.0441353 | − | 0.0441353i | ||||
\(92\) | −6.58483 | + | 15.8858i | −0.686516 | + | 1.65621i | ||||
\(93\) | −13.3798 | + | 8.02033i | −1.38742 | + | 0.831669i | ||||
\(94\) | 9.48725 | + | 1.88838i | 0.978535 | + | 0.194772i | ||||
\(95\) | −0.189883 | + | 0.328887i | −0.0194816 | + | 0.0337431i | ||||
\(96\) | −8.05984 | + | 5.57127i | −0.822603 | + | 0.568615i | ||||
\(97\) | −0.627593 | − | 1.08702i | −0.0637224 | − | 0.110370i | 0.832404 | − | 0.554169i | \(-0.186964\pi\) |
−0.896127 | + | 0.443799i | \(0.853631\pi\) | |||||||
\(98\) | 2.18523 | + | 6.44017i | 0.220742 | + | 0.650555i | ||||
\(99\) | −1.97590 | − | 6.51161i | −0.198585 | − | 0.654442i | ||||
\(100\) | −6.07937 | − | 7.92695i | −0.607937 | − | 0.792695i | ||||
\(101\) | 5.33858 | + | 1.43047i | 0.531209 | + | 0.142337i | 0.514446 | − | 0.857522i | \(-0.327997\pi\) |
0.0167625 | + | 0.999860i | \(0.494664\pi\) | |||||||
\(102\) | −1.96272 | + | 0.702090i | −0.194338 | + | 0.0695173i | ||||
\(103\) | 9.59933 | + | 5.54217i | 0.945850 | + | 0.546087i | 0.891789 | − | 0.452451i | \(-0.149450\pi\) |
0.0540605 | + | 0.998538i | \(0.482784\pi\) | |||||||
\(104\) | 1.07720 | + | 0.366118i | 0.105628 | + | 0.0359008i | ||||
\(105\) | −0.0503900 | − | 0.176428i | −0.00491756 | − | 0.0172176i | ||||
\(106\) | −0.516235 | − | 7.89154i | −0.0501412 | − | 0.766495i | ||||
\(107\) | −6.90288 | + | 6.90288i | −0.667327 | + | 0.667327i | −0.957096 | − | 0.289770i | \(-0.906421\pi\) |
0.289770 | + | 0.957096i | \(0.406421\pi\) | |||||||
\(108\) | 10.2247 | − | 1.85915i | 0.983868 | − | 0.178897i | ||||
\(109\) | 9.39169 | + | 9.39169i | 0.899560 | + | 0.899560i | 0.995397 | − | 0.0958367i | \(-0.0305527\pi\) |
−0.0958367 | + | 0.995397i | \(0.530553\pi\) | |||||||
\(110\) | −0.172580 | − | 0.151387i | −0.0164548 | − | 0.0144342i | ||||
\(111\) | 9.73483 | − | 2.78039i | 0.923989 | − | 0.263903i | ||||
\(112\) | 4.18886 | − | 4.18462i | 0.395810 | − | 0.395409i | ||||
\(113\) | −5.81166 | + | 10.0661i | −0.546715 | + | 0.946938i | 0.451782 | + | 0.892128i | \(0.350789\pi\) |
−0.998497 | + | 0.0548097i | \(0.982545\pi\) | |||||||
\(114\) | 11.7499 | + | 5.55849i | 1.10048 | + | 0.520600i | ||||
\(115\) | 0.159261 | − | 0.594369i | 0.0148511 | − | 0.0554252i | ||||
\(116\) | −9.79642 | − | 1.29225i | −0.909575 | − | 0.119982i | ||||
\(117\) | −0.880825 | − | 0.824837i | −0.0814323 | − | 0.0762562i | ||||
\(118\) | −18.0950 | − | 8.92633i | −1.66578 | − | 0.821736i | ||||
\(119\) | 1.09092 | − | 0.629841i | 0.100004 | − | 0.0577374i | ||||
\(120\) | 0.259855 | − | 0.235360i | 0.0237214 | − | 0.0214853i | ||||
\(121\) | −5.07055 | − | 2.92749i | −0.460959 | − | 0.266135i | ||||
\(122\) | −2.67510 | − | 4.00466i | −0.242192 | − | 0.362565i | ||||
\(123\) | 2.11111 | + | 3.52183i | 0.190353 | + | 0.317553i | ||||
\(124\) | 16.6399 | + | 6.89739i | 1.49430 | + | 0.619404i | ||||
\(125\) | 0.505785 | + | 0.505785i | 0.0452388 | + | 0.0452388i | ||||
\(126\) | −5.87768 | + | 2.21194i | −0.523625 | + | 0.197055i | ||||
\(127\) | −10.1965 | −0.904796 | −0.452398 | − | 0.891816i | \(-0.649431\pi\) | ||||
−0.452398 | + | 0.891816i | \(0.649431\pi\) | |||||||
\(128\) | 10.7101 | + | 3.64617i | 0.946645 | + | 0.322279i | ||||
\(129\) | 3.21996 | + | 3.11600i | 0.283501 | + | 0.274348i | ||||
\(130\) | −0.0399275 | − | 0.00794733i | −0.00350187 | − | 0.000697027i | ||||
\(131\) | 6.79522 | − | 1.82077i | 0.593701 | − | 0.159082i | 0.0505571 | − | 0.998721i | \(-0.483900\pi\) |
0.543144 | + | 0.839639i | \(0.317234\pi\) | |||||||
\(132\) | −4.68203 | + | 6.31023i | −0.407518 | + | 0.549235i | ||||
\(133\) | −7.58731 | − | 2.03301i | −0.657903 | − | 0.176285i | ||||
\(134\) | 4.19420 | − | 8.50229i | 0.362324 | − | 0.734486i | ||||
\(135\) | −0.354024 | + | 0.113801i | −0.0304695 | + | 0.00979445i | ||||
\(136\) | 2.00083 | + | 1.33801i | 0.171570 | + | 0.114734i | ||||
\(137\) | −12.5671 | + | 7.25564i | −1.07368 | + | 0.619891i | −0.929185 | − | 0.369614i | \(-0.879490\pi\) |
−0.144497 | + | 0.989505i | \(0.546157\pi\) | |||||||
\(138\) | −20.7207 | − | 3.77204i | −1.76387 | − | 0.321097i | ||||
\(139\) | −1.36539 | − | 5.09570i | −0.115811 | − | 0.432212i | 0.883535 | − | 0.468364i | \(-0.155157\pi\) |
−0.999346 | + | 0.0361523i | \(0.988490\pi\) | |||||||
\(140\) | −0.129019 | + | 0.168053i | −0.0109041 | + | 0.0142031i | ||||
\(141\) | 0.194364 | + | 11.8458i | 0.0163684 | + | 0.997596i | ||||
\(142\) | 0.385777 | + | 0.338404i | 0.0323737 | + | 0.0283982i | ||||
\(143\) | 0.912398 | 0.0762986 | ||||||||
\(144\) | −8.75493 | − | 8.20677i | −0.729578 | − | 0.683898i | ||||
\(145\) | 0.353579 | 0.0293632 | ||||||||
\(146\) | −16.8768 | − | 14.8043i | −1.39673 | − | 1.22522i | ||||
\(147\) | −7.14406 | + | 4.28241i | −0.589232 | + | 0.353207i | ||||
\(148\) | −9.27274 | − | 7.11895i | −0.762214 | − | 0.585174i | ||||
\(149\) | 5.18027 | + | 19.3330i | 0.424384 | + | 1.58382i | 0.765264 | + | 0.643717i | \(0.222609\pi\) |
−0.340879 | + | 0.940107i | \(0.610725\pi\) | |||||||
\(150\) | 7.91622 | − | 9.32879i | 0.646356 | − | 0.761693i | ||||
\(151\) | −11.0910 | + | 6.40336i | −0.902569 | + | 0.521098i | −0.878033 | − | 0.478601i | \(-0.841144\pi\) |
−0.0245362 | + | 0.999699i | \(0.507811\pi\) | |||||||
\(152\) | −2.92256 | − | 14.7219i | −0.237051 | − | 1.19411i | ||||
\(153\) | −1.34835 | − | 2.16790i | −0.109007 | − | 0.175264i | ||||
\(154\) | 2.10067 | − | 4.25837i | 0.169277 | − | 0.343149i | ||||
\(155\) | −0.622583 | − | 0.166821i | −0.0500070 | − | 0.0133993i | ||||
\(156\) | −0.159539 | + | 1.38425i | −0.0127734 | + | 0.110829i | ||||
\(157\) | −7.39195 | + | 1.98067i | −0.589942 | + | 0.158074i | −0.541427 | − | 0.840748i | \(-0.682116\pi\) |
−0.0485153 | + | 0.998822i | \(0.515449\pi\) | |||||||
\(158\) | −15.1277 | − | 3.01108i | −1.20350 | − | 0.239549i | ||||
\(159\) | 9.31337 | − | 2.66002i | 0.738598 | − | 0.210953i | ||||
\(160\) | −0.397006 | − | 0.0792309i | −0.0313861 | − | 0.00626375i | ||||
\(161\) | 12.7274 | 1.00306 | ||||||||
\(162\) | 4.87134 | + | 11.7588i | 0.382729 | + | 0.923861i | ||||
\(163\) | 10.3989 | + | 10.3989i | 0.814504 | + | 0.814504i | 0.985305 | − | 0.170802i | \(-0.0546358\pi\) |
−0.170802 | + | 0.985305i | \(0.554636\pi\) | |||||||
\(164\) | 1.81553 | − | 4.37995i | 0.141769 | − | 0.342017i | ||||
\(165\) | 0.136568 | − | 0.245768i | 0.0106318 | − | 0.0191330i | ||||
\(166\) | −4.36805 | − | 6.53903i | −0.339026 | − | 0.507528i | ||||
\(167\) | 5.44443 | + | 3.14334i | 0.421302 | + | 0.243239i | 0.695634 | − | 0.718396i | \(-0.255123\pi\) |
−0.274332 | + | 0.961635i | \(0.588457\pi\) | |||||||
\(168\) | 6.09332 | + | 3.93165i | 0.470109 | + | 0.303334i | ||||
\(169\) | −11.1182 | + | 6.41910i | −0.855247 | + | 0.493777i | ||||
\(170\) | −0.0772417 | − | 0.0381036i | −0.00592417 | − | 0.00292241i | ||||
\(171\) | −3.61362 | + | 15.5041i | −0.276340 | + | 1.18563i | ||||
\(172\) | 0.676639 | − | 5.12955i | 0.0515933 | − | 0.391124i | ||||
\(173\) | 3.04333 | − | 11.3578i | 0.231380 | − | 0.863521i | −0.748368 | − | 0.663284i | \(-0.769162\pi\) |
0.979748 | − | 0.200237i | \(-0.0641712\pi\) | |||||||
\(174\) | −0.987995 | − | 12.0617i | −0.0748997 | − | 0.914392i | ||||
\(175\) | −3.69680 | + | 6.40305i | −0.279452 | + | 0.484025i | ||||
\(176\) | 9.07306 | + | 0.00459655i | 0.683908 | + | 0.000346478i | ||||
\(177\) | 6.00338 | − | 23.9713i | 0.451242 | − | 1.80179i | ||||
\(178\) | 14.0156 | + | 12.2945i | 1.05051 | + | 0.921512i | ||||
\(179\) | −9.21801 | − | 9.21801i | −0.688986 | − | 0.688986i | 0.273021 | − | 0.962008i | \(-0.411977\pi\) |
−0.962008 | + | 0.273021i | \(0.911977\pi\) | |||||||
\(180\) | 0.348989 | + | 0.250169i | 0.0260121 | + | 0.0186465i | ||||
\(181\) | −11.5919 | + | 11.5919i | −0.861621 | + | 0.861621i | −0.991526 | − | 0.129905i | \(-0.958533\pi\) |
0.129905 | + | 0.991526i | \(0.458533\pi\) | |||||||
\(182\) | −0.0549661 | − | 0.840252i | −0.00407436 | − | 0.0622836i | ||||
\(183\) | 4.10176 | − | 4.23861i | 0.303211 | − | 0.313327i | ||||
\(184\) | 10.7479 | + | 21.8156i | 0.792349 | + | 1.60826i | ||||
\(185\) | 0.362268 | + | 0.209155i | 0.0266345 | + | 0.0153774i | ||||
\(186\) | −3.95109 | + | 21.7043i | −0.289708 | + | 1.59144i | ||||
\(187\) | 1.86452 | + | 0.499597i | 0.136347 | + | 0.0365341i | ||||
\(188\) | 10.8553 | − | 8.32523i | 0.791707 | − | 0.607179i | ||||
\(189\) | −4.16883 | − | 6.46379i | −0.303238 | − | 0.470171i | ||||
\(190\) | 0.172571 | + | 0.508590i | 0.0125196 | + | 0.0368970i | ||||
\(191\) | 11.1864 | + | 19.3755i | 0.809423 | + | 1.40196i | 0.913264 | + | 0.407368i | \(0.133553\pi\) |
−0.103842 | + | 0.994594i | \(0.533113\pi\) | |||||||
\(192\) | −1.59346 | + | 13.7645i | −0.114998 | + | 0.993366i | ||||
\(193\) | 7.17911 | − | 12.4346i | 0.516764 | − | 0.895061i | −0.483047 | − | 0.875594i | \(-0.660470\pi\) |
0.999811 | − | 0.0194663i | \(-0.00619671\pi\) | |||||||
\(194\) | −1.74095 | − | 0.346525i | −0.124993 | − | 0.0248791i | ||||
\(195\) | −0.000817989 | − | 0.0498536i | −5.85774e−5 | − | 0.00357009i | ||||
\(196\) | 8.88476 | + | 3.68282i | 0.634625 | + | 0.263059i | ||||
\(197\) | 1.57538 | − | 1.57538i | 0.112241 | − | 0.112241i | −0.648756 | − | 0.760997i | \(-0.724710\pi\) |
0.760997 | + | 0.648756i | \(0.224710\pi\) | |||||||
\(198\) | −8.76549 | − | 3.97200i | −0.622936 | − | 0.282278i | ||||
\(199\) | − | 1.72755i | − | 0.122463i | −0.998124 | − | 0.0612313i | \(-0.980497\pi\) | ||
0.998124 | − | 0.0612313i | \(-0.0195027\pi\) | |||||||
\(200\) | −14.0970 | − | 0.929349i | −0.996812 | − | 0.0657149i | ||||
\(201\) | 11.2634 | + | 2.82080i | 0.794457 | + | 0.198964i | ||||
\(202\) | 6.49951 | − | 4.34164i | 0.457304 | − | 0.305477i | ||||
\(203\) | 1.89283 | + | 7.06413i | 0.132850 | + | 0.495804i | ||||
\(204\) | −1.08399 | + | 2.74142i | −0.0758947 | + | 0.191938i | ||||
\(205\) | −0.0439106 | + | 0.163877i | −0.00306685 | + | 0.0114456i | ||||
\(206\) | 14.8444 | − | 5.03689i | 1.03426 | − | 0.350937i | ||||
\(207\) | −0.846243 | − | 25.7808i | −0.0588179 | − | 1.79189i | ||||
\(208\) | 1.39382 | − | 0.803784i | 0.0966444 | − | 0.0557324i | ||||
\(209\) | −6.01834 | − | 10.4241i | −0.416297 | − | 0.721048i | ||||
\(210\) | −0.234561 | − | 0.110963i | −0.0161863 | − | 0.00765718i | ||||
\(211\) | −11.9404 | + | 3.19942i | −0.822011 | + | 0.220257i | −0.645225 | − | 0.763992i | \(-0.723236\pi\) |
−0.176785 | + | 0.984249i | \(0.556570\pi\) | |||||||
\(212\) | −8.87128 | − | 6.81075i | −0.609282 | − | 0.467764i | ||||
\(213\) | −0.305278 | + | 0.549378i | −0.0209173 | + | 0.0376428i | ||||
\(214\) | 0.901196 | + | 13.7763i | 0.0616045 | + | 0.941730i | ||||
\(215\) | 0.185139i | 0.0126264i | ||||||||
\(216\) | 7.55887 | − | 12.6041i | 0.514316 | − | 0.857601i | ||||
\(217\) | − | 13.3316i | − | 0.905005i | ||||||
\(218\) | 18.7433 | − | 1.22612i | 1.26946 | − | 0.0830432i | ||||
\(219\) | 13.3552 | − | 24.0340i | 0.902458 | − | 1.62407i | ||||
\(220\) | −0.321892 | + | 0.0422950i | −0.0217020 | + | 0.00285153i | ||||
\(221\) | 0.330647 | − | 0.0885965i | 0.0222417 | − | 0.00595964i | ||||
\(222\) | 6.12265 | − | 12.9425i | 0.410925 | − | 0.868643i | ||||
\(223\) | −7.22081 | − | 12.5068i | −0.483541 | − | 0.837518i | 0.516280 | − | 0.856420i | \(-0.327316\pi\) |
−0.999821 | + | 0.0189019i | \(0.993983\pi\) | |||||||
\(224\) | −0.542360 | − | 8.35590i | −0.0362380 | − | 0.558302i | ||||
\(225\) | 13.2159 | + | 7.06255i | 0.881059 | + | 0.470837i | ||||
\(226\) | 5.28180 | + | 15.5662i | 0.351340 | + | 1.03545i | ||||
\(227\) | 0.432945 | − | 1.61577i | 0.0287356 | − | 0.107243i | −0.950069 | − | 0.312041i | \(-0.898987\pi\) |
0.978804 | + | 0.204799i | \(0.0656540\pi\) | |||||||
\(228\) | 16.8673 | − | 7.30806i | 1.11707 | − | 0.483988i | ||||
\(229\) | 5.25735 | + | 19.6207i | 0.347416 | + | 1.29657i | 0.889765 | + | 0.456420i | \(0.150868\pi\) |
−0.542349 | + | 0.840153i | \(0.682465\pi\) | |||||||
\(230\) | −0.483375 | − | 0.723620i | −0.0318728 | − | 0.0477141i | ||||
\(231\) | 5.64126 | + | 1.41280i | 0.371168 | + | 0.0929553i | ||||
\(232\) | −10.5099 | + | 9.20987i | −0.690009 | + | 0.604658i | ||||
\(233\) | − | 23.5814i | − | 1.54487i | −0.635094 | − | 0.772435i | \(-0.719039\pi\) | ||
0.635094 | − | 0.772435i | \(-0.280961\pi\) | |||||||
\(234\) | −1.69837 | + | 0.167208i | −0.111026 | + | 0.0109307i | ||||
\(235\) | −0.346139 | + | 0.346139i | −0.0225796 | + | 0.0225796i | ||||
\(236\) | −26.3652 | + | 10.9130i | −1.71623 | + | 0.710377i | ||||
\(237\) | −0.309920 | − | 18.8885i | −0.0201315 | − | 1.22694i | ||||
\(238\) | 0.347767 | − | 1.74718i | 0.0225424 | − | 0.113253i | ||||
\(239\) | 4.28400 | − | 7.42011i | 0.277109 | − | 0.479967i | −0.693556 | − | 0.720403i | \(-0.743957\pi\) |
0.970665 | + | 0.240436i | \(0.0772903\pi\) | |||||||
\(240\) | −0.00788308 | − | 0.495757i | −0.000508851 | − | 0.0320010i | ||||
\(241\) | 3.69013 | + | 6.39149i | 0.237702 | + | 0.411712i | 0.960055 | − | 0.279813i | \(-0.0902725\pi\) |
−0.722352 | + | 0.691525i | \(0.756939\pi\) | |||||||
\(242\) | −7.84109 | + | 2.66058i | −0.504044 | + | 0.171029i | ||||
\(243\) | −12.8159 | + | 8.87421i | −0.822143 | + | 0.569281i | ||||
\(244\) | −6.75230 | − | 0.890698i | −0.432272 | − | 0.0570211i | ||||
\(245\) | −0.332424 | − | 0.0890729i | −0.0212378 | − | 0.00569066i | ||||
\(246\) | 5.71302 | + | 1.04001i | 0.364249 | + | 0.0663085i | ||||
\(247\) | −1.84856 | − | 1.06727i | −0.117621 | − | 0.0679086i | ||||
\(248\) | 22.8511 | − | 11.2581i | 1.45105 | − | 0.714891i | ||||
\(249\) | 6.69758 | − | 6.92103i | 0.424442 | − | 0.438602i | ||||
\(250\) | 1.00941 | − | 0.0660320i | 0.0638409 | − | 0.00417623i | ||||
\(251\) | −8.74661 | + | 8.74661i | −0.552081 | + | 0.552081i | −0.927041 | − | 0.374960i | \(-0.877657\pi\) |
0.374960 | + | 0.927041i | \(0.377657\pi\) | |||||||
\(252\) | −3.12986 | + | 8.31165i | −0.197162 | + | 0.523585i | ||||
\(253\) | 13.7908 | + | 13.7908i | 0.867017 | + | 0.867017i | ||||
\(254\) | −9.50919 | + | 10.8404i | −0.596660 | + | 0.680186i | ||||
\(255\) | 0.0256265 | − | 0.102326i | 0.00160479 | − | 0.00640788i | ||||
\(256\) | 13.8645 | − | 7.98596i | 0.866532 | − | 0.499122i | ||||
\(257\) | 2.21071 | − | 3.82905i | 0.137900 | − | 0.238850i | −0.788802 | − | 0.614648i | \(-0.789298\pi\) |
0.926702 | + | 0.375798i | \(0.122631\pi\) | |||||||
\(258\) | 6.31565 | − | 0.517328i | 0.393195 | − | 0.0322074i | ||||
\(259\) | −2.23936 | + | 8.35739i | −0.139147 | + | 0.519303i | ||||
\(260\) | −0.0456852 | + | 0.0350371i | −0.00283327 | + | 0.00217291i | ||||
\(261\) | 14.1833 | − | 4.30383i | 0.877926 | − | 0.266400i | ||||
\(262\) | 4.40141 | − | 8.92234i | 0.271920 | − | 0.551224i | ||||
\(263\) | 9.48601 | − | 5.47675i | 0.584932 | − | 0.337711i | −0.178159 | − | 0.984002i | \(-0.557014\pi\) |
0.763091 | + | 0.646291i | \(0.223681\pi\) | |||||||
\(264\) | 2.34226 | + | 10.8625i | 0.144156 | + | 0.668542i | ||||
\(265\) | 0.346584 | + | 0.200100i | 0.0212905 | + | 0.0122921i | ||||
\(266\) | −9.23724 | + | 6.17043i | −0.566371 | + | 0.378333i | ||||
\(267\) | −11.0910 | + | 19.9594i | −0.678759 | + | 1.22150i | ||||
\(268\) | −5.12768 | − | 12.3882i | −0.313223 | − | 0.756730i | ||||
\(269\) | −10.6376 | − | 10.6376i | −0.648586 | − | 0.648586i | 0.304065 | − | 0.952651i | \(-0.401656\pi\) |
−0.952651 | + | 0.304065i | \(0.901656\pi\) | |||||||
\(270\) | −0.209172 | + | 0.482508i | −0.0127298 | + | 0.0293645i | ||||
\(271\) | 19.1209 | 1.16151 | 0.580757 | − | 0.814077i | \(-0.302757\pi\) | ||||
0.580757 | + | 0.814077i | \(0.302757\pi\) | |||||||
\(272\) | 3.28846 | − | 0.879354i | 0.199392 | − | 0.0533187i | ||||
\(273\) | 0.991640 | − | 0.283225i | 0.0600168 | − | 0.0171416i | ||||
\(274\) | −4.00620 | + | 20.1272i | −0.242023 | + | 1.21593i | ||||
\(275\) | −10.9437 | + | 2.93235i | −0.659928 | + | 0.176827i | ||||
\(276\) | −23.3342 | + | 18.5114i | −1.40455 | + | 1.11425i | ||||
\(277\) | −10.0831 | − | 2.70176i | −0.605835 | − | 0.162333i | −0.0571550 | − | 0.998365i | \(-0.518203\pi\) |
−0.548680 | + | 0.836032i | \(0.684870\pi\) | |||||||
\(278\) | −6.69082 | − | 3.30060i | −0.401289 | − | 0.197957i | ||||
\(279\) | −27.0046 | + | 0.886412i | −1.61672 | + | 0.0530681i | ||||
\(280\) | 0.0583425 | + | 0.293891i | 0.00348663 | + | 0.0175633i | ||||
\(281\) | −12.1779 | + | 7.03092i | −0.726473 | + | 0.419429i | −0.817130 | − | 0.576453i | \(-0.804436\pi\) |
0.0906576 | + | 0.995882i | \(0.471103\pi\) | |||||||
\(282\) | 12.7751 | + | 10.8406i | 0.760743 | + | 0.645551i | ||||
\(283\) | −6.60872 | − | 24.6641i | −0.392848 | − | 1.46613i | −0.825415 | − | 0.564526i | \(-0.809059\pi\) |
0.432568 | − | 0.901601i | \(-0.357608\pi\) | |||||||
\(284\) | 0.719543 | − | 0.0945443i | 0.0426970 | − | 0.00561017i | ||||
\(285\) | −0.564177 | + | 0.338188i | −0.0334190 | + | 0.0200325i | ||||
\(286\) | 0.850894 | − | 0.970011i | 0.0503144 | − | 0.0573579i | ||||
\(287\) | −3.50914 | −0.207138 | ||||||||
\(288\) | −16.8897 | + | 1.65419i | −0.995238 | + | 0.0974743i | ||||
\(289\) | −16.2758 | −0.957400 | ||||||||
\(290\) | 0.329745 | − | 0.375906i | 0.0193633 | − | 0.0220740i | ||||
\(291\) | −0.0356666 | − | 2.17375i | −0.00209081 | − | 0.127428i | ||||
\(292\) | −31.4783 | + | 4.13608i | −1.84213 | + | 0.242046i | ||||
\(293\) | 3.55218 | + | 13.2569i | 0.207520 | + | 0.774476i | 0.988667 | + | 0.150128i | \(0.0479686\pi\) |
−0.781146 | + | 0.624348i | \(0.785365\pi\) | |||||||
\(294\) | −2.10966 | + | 11.5889i | −0.123038 | + | 0.675878i | ||||
\(295\) | 0.884250 | − | 0.510522i | 0.0514830 | − | 0.0297237i | ||||
\(296\) | −16.2161 | + | 3.21919i | −0.942544 | + | 0.187111i | ||||
\(297\) | 2.48670 | − | 11.5209i | 0.144293 | − | 0.668513i | ||||
\(298\) | 25.3849 | + | 12.5224i | 1.47051 | + | 0.725405i | ||||
\(299\) | 3.34075 | + | 0.895150i | 0.193200 | + | 0.0517679i | ||||
\(300\) | −2.53526 | − | 17.1160i | −0.146373 | − | 0.988194i | ||||
\(301\) | −3.69888 | + | 0.991111i | −0.213200 | + | 0.0571267i | ||||
\(302\) | −3.53562 | + | 17.7630i | −0.203452 | + | 1.02215i | ||||
\(303\) | 6.87919 | + | 6.65709i | 0.395199 | + | 0.382440i | ||||
\(304\) | −18.3771 | − | 10.6224i | −1.05400 | − | 0.609238i | ||||
\(305\) | 0.243709 | 0.0139547 | ||||||||
\(306\) | −3.56224 | − | 0.588271i | −0.203640 | − | 0.0336292i | ||||
\(307\) | −14.1122 | − | 14.1122i | −0.805426 | − | 0.805426i | 0.178512 | − | 0.983938i | \(-0.442872\pi\) |
−0.983938 | + | 0.178512i | \(0.942872\pi\) | |||||||
\(308\) | −2.56820 | − | 6.20463i | −0.146337 | − | 0.353542i | ||||
\(309\) | 9.87080 | + | 16.4668i | 0.561530 | + | 0.936763i | ||||
\(310\) | −0.757969 | + | 0.506320i | −0.0430497 | + | 0.0287570i | ||||
\(311\) | 11.2914 | + | 6.51907i | 0.640274 | + | 0.369662i | 0.784720 | − | 0.619850i | \(-0.212807\pi\) |
−0.144446 | + | 0.989513i | \(0.546140\pi\) | |||||||
\(312\) | 1.32288 | + | 1.46056i | 0.0748931 | + | 0.0826877i | ||||
\(313\) | 6.50512 | − | 3.75573i | 0.367691 | − | 0.212287i | −0.304758 | − | 0.952430i | \(-0.598576\pi\) |
0.672449 | + | 0.740143i | \(0.265242\pi\) | |||||||
\(314\) | −4.78793 | + | 9.70586i | −0.270199 | + | 0.547733i | ||||
\(315\) | 0.0721380 | − | 0.309506i | 0.00406451 | − | 0.0174387i | ||||
\(316\) | −17.3092 | + | 13.2748i | −0.973718 | + | 0.746768i | ||||
\(317\) | −0.390294 | + | 1.45660i | −0.0219211 | + | 0.0818107i | −0.976020 | − | 0.217682i | \(-0.930151\pi\) |
0.954099 | + | 0.299492i | \(0.0968173\pi\) | |||||||
\(318\) | 5.85758 | − | 12.3822i | 0.328477 | − | 0.694357i | ||||
\(319\) | −5.60335 | + | 9.70528i | −0.313727 | + | 0.543391i | ||||
\(320\) | −0.454478 | + | 0.348185i | −0.0254061 | + | 0.0194641i | ||||
\(321\) | −16.2584 | + | 4.64361i | −0.907456 | + | 0.259181i | ||||
\(322\) | 11.8695 | − | 13.5311i | 0.661460 | − | 0.754057i | ||||
\(323\) | −3.19321 | − | 3.19321i | −0.177675 | − | 0.177675i | ||||
\(324\) | 17.0443 | + | 5.78723i | 0.946905 | + | 0.321513i | ||||
\(325\) | −1.42069 | + | 1.42069i | −0.0788059 | + | 0.0788059i | ||||
\(326\) | 20.7534 | − | 1.35761i | 1.14943 | − | 0.0751911i | ||||
\(327\) | 6.31784 | + | 22.1203i | 0.349377 | + | 1.22326i | ||||
\(328\) | −2.96337 | − | 6.01488i | −0.163625 | − | 0.332116i | ||||
\(329\) | −8.76847 | − | 5.06248i | −0.483422 | − | 0.279104i | ||||
\(330\) | −0.133925 | − | 0.374392i | −0.00737231 | − | 0.0206096i | ||||
\(331\) | 19.7779 | + | 5.29948i | 1.08709 | + | 0.291286i | 0.757499 | − | 0.652837i | \(-0.226421\pi\) |
0.329595 | + | 0.944122i | \(0.393088\pi\) | |||||||
\(332\) | −11.0255 | − | 1.45438i | −0.605105 | − | 0.0798195i | ||||
\(333\) | 17.0777 | + | 3.98039i | 0.935854 | + | 0.218124i | ||||
\(334\) | 8.41924 | − | 2.85676i | 0.460680 | − | 0.156315i | ||||
\(335\) | 0.239878 | + | 0.415481i | 0.0131059 | + | 0.0227002i | ||||
\(336\) | 9.86248 | − | 2.81145i | 0.538043 | − | 0.153377i | ||||
\(337\) | 4.81432 | − | 8.33864i | 0.262253 | − | 0.454235i | −0.704588 | − | 0.709617i | \(-0.748868\pi\) |
0.966840 | + | 0.255382i | \(0.0822013\pi\) | |||||||
\(338\) | −3.54431 | + | 17.8066i | −0.192785 | + | 0.968554i | ||||
\(339\) | −17.2675 | + | 10.3508i | −0.937842 | + | 0.562177i | ||||
\(340\) | −0.112544 | + | 0.0465840i | −0.00610358 | + | 0.00252637i | ||||
\(341\) | 14.4454 | − | 14.4454i | 0.782261 | − | 0.782261i | ||||
\(342\) | 13.1131 | + | 18.3008i | 0.709074 | + | 0.989593i | ||||
\(343\) | − | 17.4800i | − | 0.943829i | ||||||
\(344\) | −4.82242 | − | 5.50313i | −0.260007 | − | 0.296709i | ||||
\(345\) | 0.741165 | − | 0.765892i | 0.0399030 | − | 0.0412343i | ||||
\(346\) | −9.23685 | − | 13.8277i | −0.496576 | − | 0.743382i | ||||
\(347\) | −2.33691 | − | 8.72145i | −0.125452 | − | 0.468192i | 0.874404 | − | 0.485199i | \(-0.161253\pi\) |
−0.999855 | + | 0.0170070i | \(0.994586\pi\) | |||||||
\(348\) | −13.7447 | − | 10.1982i | −0.736792 | − | 0.546681i | ||||
\(349\) | 7.09989 | − | 26.4971i | 0.380048 | − | 1.41836i | −0.465778 | − | 0.884902i | \(-0.654225\pi\) |
0.845826 | − | 0.533458i | \(-0.179108\pi\) | |||||||
\(350\) | 3.35976 | + | 9.90165i | 0.179587 | + | 0.529266i | ||||
\(351\) | −0.639638 | − | 1.98985i | −0.0341413 | − | 0.106210i | ||||
\(352\) | 8.46634 | − | 9.64168i | 0.451257 | − | 0.513903i | ||||
\(353\) | −2.21080 | − | 3.82922i | −0.117669 | − | 0.203809i | 0.801174 | − | 0.598431i | \(-0.204209\pi\) |
−0.918844 | + | 0.394622i | \(0.870876\pi\) | |||||||
\(354\) | −19.8863 | − | 28.7379i | −1.05694 | − | 1.52740i | ||||
\(355\) | −0.0250837 | + | 0.00672115i | −0.00133130 | + | 0.000356722i | ||||
\(356\) | 26.1417 | − | 3.43488i | 1.38550 | − | 0.182048i | ||||
\(357\) | 2.18154 | − | 0.0357943i | 0.115459 | − | 0.00189444i | ||||
\(358\) | −18.3967 | + | 1.20344i | −0.972296 | + | 0.0636040i | ||||
\(359\) | 21.7288i | 1.14680i | 0.819275 | + | 0.573400i | \(0.194376\pi\) | ||||
−0.819275 | + | 0.573400i | \(0.805624\pi\) | |||||||
\(360\) | 0.591430 | − | 0.137720i | 0.0311711 | − | 0.00725848i | ||||
\(361\) | 9.15954i | 0.482081i | ||||||||
\(362\) | 1.51337 | + | 23.1344i | 0.0795408 | + | 1.21592i | ||||
\(363\) | −5.21395 | − | 8.69809i | −0.273662 | − | 0.456531i | ||||
\(364\) | −0.944569 | − | 0.725174i | −0.0495089 | − | 0.0380094i | ||||
\(365\) | 1.09735 | − | 0.294034i | 0.0574380 | − | 0.0153905i | ||||
\(366\) | −0.680987 | − | 8.31364i | −0.0355958 | − | 0.434561i | ||||
\(367\) | 1.28705 | + | 2.22924i | 0.0671835 | + | 0.116365i | 0.897660 | − | 0.440688i | \(-0.145265\pi\) |
−0.830477 | + | 0.557053i | \(0.811932\pi\) | |||||||
\(368\) | 33.2165 | + | 8.91837i | 1.73153 | + | 0.464902i | ||||
\(369\) | 0.233322 | + | 7.10816i | 0.0121462 | + | 0.370036i | ||||
\(370\) | 0.560210 | − | 0.190087i | 0.0291239 | − | 0.00988213i | ||||
\(371\) | −2.14241 | + | 7.99556i | −0.111228 | + | 0.415109i | ||||
\(372\) | 19.3901 | + | 24.4418i | 1.00533 | + | 1.26725i | ||||
\(373\) | −0.382578 | − | 1.42780i | −0.0198091 | − | 0.0739287i | 0.955314 | − | 0.295594i | \(-0.0955175\pi\) |
−0.975123 | + | 0.221665i | \(0.928851\pi\) | |||||||
\(374\) | 2.26998 | − | 1.51634i | 0.117378 | − | 0.0784078i | ||||
\(375\) | 0.340244 | + | 1.19128i | 0.0175701 | + | 0.0615174i | ||||
\(376\) | 1.27267 | − | 19.3048i | 0.0656330 | − | 0.995570i | ||||
\(377\) | 1.98735i | 0.102354i | ||||||||
\(378\) | −10.7597 | − | 1.59600i | −0.553422 | − | 0.0820895i | ||||
\(379\) | 4.66662 | − | 4.66662i | 0.239708 | − | 0.239708i | −0.577021 | − | 0.816729i | \(-0.695785\pi\) |
0.816729 | + | 0.577021i | \(0.195785\pi\) | |||||||
\(380\) | 0.701643 | + | 0.290838i | 0.0359935 | + | 0.0149197i | ||||
\(381\) | −15.4376 | − | 8.57835i | −0.790893 | − | 0.439482i | ||||
\(382\) | 31.0313 | + | 6.17660i | 1.58770 | + | 0.316022i | ||||
\(383\) | −1.48376 | + | 2.56995i | −0.0758165 | + | 0.131318i | −0.901441 | − | 0.432902i | \(-0.857490\pi\) |
0.825625 | + | 0.564220i | \(0.190823\pi\) | |||||||
\(384\) | 13.1476 | + | 14.5307i | 0.670934 | + | 0.741517i | ||||
\(385\) | 0.120143 | + | 0.208094i | 0.00612305 | + | 0.0106054i | ||||
\(386\) | −6.52458 | − | 19.2288i | −0.332092 | − | 0.978720i | ||||
\(387\) | 2.25354 | + | 7.42659i | 0.114554 | + | 0.377515i | ||||
\(388\) | −1.99200 | + | 1.52771i | −0.101128 | + | 0.0775579i | ||||
\(389\) | −29.3202 | − | 7.85632i | −1.48659 | − | 0.398331i | −0.578008 | − | 0.816031i | \(-0.696170\pi\) |
−0.908585 | + | 0.417700i | \(0.862836\pi\) | |||||||
\(390\) | −0.0537644 | − | 0.0456233i | −0.00272246 | − | 0.00231023i | ||||
\(391\) | 6.33679 | + | 3.65855i | 0.320465 | + | 0.185021i | ||||
\(392\) | 12.2012 | − | 6.01121i | 0.616254 | − | 0.303612i | ||||
\(393\) | 11.8198 | + | 2.96016i | 0.596231 | + | 0.149320i | ||||
\(394\) | −0.205671 | − | 3.14403i | −0.0103615 | − | 0.158394i | ||||
\(395\) | 0.551930 | − | 0.551930i | 0.0277706 | − | 0.0277706i | ||||
\(396\) | −12.3974 | + | 5.61472i | −0.622994 | + | 0.282150i | ||||
\(397\) | 11.6823 | + | 11.6823i | 0.586319 | + | 0.586319i | 0.936632 | − | 0.350314i | \(-0.113925\pi\) |
−0.350314 | + | 0.936632i | \(0.613925\pi\) | |||||||
\(398\) | −1.83663 | − | 1.61110i | −0.0920621 | − | 0.0807569i | ||||
\(399\) | −9.77685 | − | 9.46120i | −0.489455 | − | 0.473652i | ||||
\(400\) | −14.1348 | + | 14.1205i | −0.706740 | + | 0.706025i | ||||
\(401\) | 0.390756 | − | 0.676809i | 0.0195134 | − | 0.0337982i | −0.856104 | − | 0.516804i | \(-0.827122\pi\) |
0.875617 | + | 0.483006i | \(0.160455\pi\) | |||||||
\(402\) | 13.5030 | − | 9.34393i | 0.673470 | − | 0.466033i | ||||
\(403\) | 0.937641 | − | 3.49932i | 0.0467072 | − | 0.174314i | ||||
\(404\) | 1.44559 | − | 10.9589i | 0.0719207 | − | 0.545225i | ||||
\(405\) | −0.631735 | − | 0.125545i | −0.0313912 | − | 0.00623836i | ||||
\(406\) | 9.27541 | + | 4.57559i | 0.460331 | + | 0.227083i | ||||
\(407\) | −11.4821 | + | 6.62918i | −0.569145 | + | 0.328596i | ||||
\(408\) | 1.90360 | + | 3.70906i | 0.0942423 | + | 0.183626i | ||||
\(409\) | 26.9864 | + | 15.5806i | 1.33439 | + | 0.770412i | 0.985969 | − | 0.166926i | \(-0.0533841\pi\) |
0.348423 | + | 0.937338i | \(0.386717\pi\) | |||||||
\(410\) | 0.133274 | + | 0.199513i | 0.00658192 | + | 0.00985324i | ||||
\(411\) | −25.1309 | + | 0.412344i | −1.23962 | + | 0.0203394i | ||||
\(412\) | 8.48878 | − | 20.4791i | 0.418212 | − | 1.00893i | ||||
\(413\) | 14.9333 | + | 14.9333i | 0.734822 | + | 0.734822i | ||||
\(414\) | −28.1979 | − | 23.1433i | −1.38585 | − | 1.13743i | ||||
\(415\) | 0.397941 | 0.0195342 | ||||||||
\(416\) | 0.445330 | − | 2.23144i | 0.0218341 | − | 0.109405i | ||||
\(417\) | 2.21981 | − | 8.86363i | 0.108705 | − | 0.434054i | ||||
\(418\) | −16.6949 | − | 3.32303i | −0.816576 | − | 0.162535i | ||||
\(419\) | 22.1594 | − | 5.93759i | 1.08256 | − | 0.290070i | 0.326914 | − | 0.945054i | \(-0.393991\pi\) |
0.755643 | + | 0.654984i | \(0.227325\pi\) | |||||||
\(420\) | −0.336719 | + | 0.145889i | −0.0164302 | + | 0.00711868i | ||||
\(421\) | 25.0456 | + | 6.71096i | 1.22065 | + | 0.327072i | 0.810932 | − | 0.585140i | \(-0.198961\pi\) |
0.409718 | + | 0.912212i | \(0.365627\pi\) | |||||||
\(422\) | −7.73405 | + | 15.6781i | −0.376488 | + | 0.763198i | ||||
\(423\) | −9.67161 | + | 18.0981i | −0.470250 | + | 0.879961i | ||||
\(424\) | −15.5141 | + | 3.07981i | −0.753430 | + | 0.149569i | ||||
\(425\) | −3.68116 | + | 2.12532i | −0.178563 | + | 0.103093i | ||||
\(426\) | 0.299369 | + | 0.836899i | 0.0145045 | + | 0.0405479i | ||||
\(427\) | 1.30465 | + | 4.86903i | 0.0631366 | + | 0.235629i | ||||
\(428\) | 15.4867 | + | 11.8896i | 0.748576 | + | 0.574704i | ||||
\(429\) | 1.38138 | + | 0.767601i | 0.0666935 | + | 0.0370601i | ||||
\(430\) | 0.196830 | + | 0.172659i | 0.00949197 | + | 0.00832636i | ||||
\(431\) | 8.53959 | 0.411338 | 0.205669 | − | 0.978622i | \(-0.434063\pi\) | ||||
0.205669 | + | 0.978622i | \(0.434063\pi\) | |||||||
\(432\) | −6.35066 | − | 19.7906i | −0.305546 | − | 0.952177i | ||||
\(433\) | −9.28283 | −0.446104 | −0.223052 | − | 0.974807i | \(-0.571602\pi\) | ||||
−0.223052 | + | 0.974807i | \(0.571602\pi\) | |||||||
\(434\) | −14.1734 | − | 12.4329i | −0.680343 | − | 0.596797i | ||||
\(435\) | 0.535321 | + | 0.297467i | 0.0256667 | + | 0.0142624i | ||||
\(436\) | 16.1763 | − | 21.0703i | 0.774704 | − | 1.00908i | ||||
\(437\) | −11.8091 | − | 44.0723i | −0.564908 | − | 2.10826i | ||||
\(438\) | −13.0967 | − | 36.6123i | −0.625784 | − | 1.74940i | ||||
\(439\) | 12.0947 | − | 6.98286i | 0.577247 | − | 0.333274i | −0.182792 | − | 0.983152i | \(-0.558513\pi\) |
0.760038 | + | 0.649878i | \(0.225180\pi\) | |||||||
\(440\) | −0.255228 | + | 0.381662i | −0.0121675 | + | 0.0181950i | ||||
\(441\) | −14.4189 | + | 0.473295i | −0.686616 | + | 0.0225378i | ||||
\(442\) | 0.214167 | − | 0.434149i | 0.0101869 | − | 0.0206504i | ||||
\(443\) | 11.9398 | + | 3.19925i | 0.567276 | + | 0.152001i | 0.531047 | − | 0.847343i | \(-0.321799\pi\) |
0.0362287 | + | 0.999344i | \(0.488466\pi\) | |||||||
\(444\) | −8.04980 | − | 18.5793i | −0.382027 | − | 0.881734i | ||||
\(445\) | −0.911312 | + | 0.244185i | −0.0432004 | + | 0.0115755i | ||||
\(446\) | −20.0306 | − | 3.98697i | −0.948476 | − | 0.188789i | ||||
\(447\) | −8.42193 | + | 33.6285i | −0.398344 | + | 1.59057i | ||||
\(448\) | −9.38932 | − | 7.21602i | −0.443604 | − | 0.340925i | ||||
\(449\) | 15.5226 | 0.732554 | 0.366277 | − | 0.930506i | \(-0.380632\pi\) | ||||
0.366277 | + | 0.930506i | \(0.380632\pi\) | |||||||
\(450\) | 19.8335 | − | 7.46393i | 0.934961 | − | 0.351853i | ||||
\(451\) | −3.80232 | − | 3.80232i | −0.179044 | − | 0.179044i | ||||
\(452\) | 21.4748 | + | 8.90154i | 1.01009 | + | 0.418693i | ||||
\(453\) | −22.1789 | + | 0.363908i | −1.04206 | + | 0.0170979i | ||||
\(454\) | −1.31404 | − | 1.96714i | −0.0616709 | − | 0.0923223i | ||||
\(455\) | 0.0369025 | + | 0.0213057i | 0.00173002 | + | 0.000998825i | ||||
\(456\) | 7.96079 | − | 24.7478i | 0.372798 | − | 1.15892i | ||||
\(457\) | −23.3712 | + | 13.4934i | −1.09326 | + | 0.631194i | −0.934442 | − | 0.356114i | \(-0.884101\pi\) |
−0.158817 | + | 0.987308i | \(0.550768\pi\) | |||||||
\(458\) | 25.7626 | + | 12.7088i | 1.20381 | + | 0.593842i | ||||
\(459\) | −0.217555 | − | 4.41657i | −0.0101546 | − | 0.206148i | ||||
\(460\) | −1.22010 | − | 0.160944i | −0.0568876 | − | 0.00750406i | ||||
\(461\) | −6.10962 | + | 22.8014i | −0.284554 | + | 1.06197i | 0.664611 | + | 0.747189i | \(0.268597\pi\) |
−0.949165 | + | 0.314779i | \(0.898070\pi\) | |||||||
\(462\) | 6.76299 | − | 4.67991i | 0.314643 | − | 0.217729i | ||||
\(463\) | 11.7055 | − | 20.2745i | 0.544001 | − | 0.942238i | −0.454668 | − | 0.890661i | \(-0.650242\pi\) |
0.998669 | − | 0.0515769i | \(-0.0164247\pi\) | |||||||
\(464\) | −0.0100120 | + | 19.7626i | −0.000464796 | + | 0.917454i | ||||
\(465\) | −0.802248 | − | 0.776346i | −0.0372033 | − | 0.0360022i | ||||
\(466\) | −25.0704 | − | 21.9918i | −1.16137 | − | 1.01875i | ||||
\(467\) | 17.4581 | + | 17.4581i | 0.807865 | + | 0.807865i | 0.984310 | − | 0.176446i | \(-0.0564600\pi\) |
−0.176446 | + | 0.984310i | \(0.556460\pi\) | |||||||
\(468\) | −1.40612 | + | 1.96155i | −0.0649978 | + | 0.0906726i | ||||
\(469\) | −7.01671 | + | 7.01671i | −0.324001 | + | 0.324001i | ||||
\(470\) | 0.0451897 | + | 0.690802i | 0.00208444 | + | 0.0318643i | ||||
\(471\) | −12.8578 | − | 3.22011i | −0.592456 | − | 0.148375i | ||||
\(472\) | −12.9859 | + | 38.2074i | −0.597723 | + | 1.75864i | ||||
\(473\) | −5.08182 | − | 2.93399i | −0.233662 | − | 0.134905i | ||||
\(474\) | −20.3702 | − | 17.2858i | −0.935636 | − | 0.793961i | ||||
\(475\) | 25.6024 | + | 6.86016i | 1.17472 | + | 0.314766i | ||||
\(476\) | −1.53318 | − | 1.99913i | −0.0702734 | − | 0.0916301i | ||||
\(477\) | 16.3384 | + | 3.80806i | 0.748082 | + | 0.174359i | ||||
\(478\) | −3.89343 | − | 11.4744i | −0.178081 | − | 0.524828i | ||||
\(479\) | −9.62715 | − | 16.6747i | −0.439876 | − | 0.761887i | 0.557804 | − | 0.829973i | \(-0.311644\pi\) |
−0.997679 | + | 0.0680859i | \(0.978311\pi\) | |||||||
\(480\) | −0.534413 | − | 0.453958i | −0.0243925 | − | 0.0207202i | ||||
\(481\) | −1.17559 | + | 2.03618i | −0.0536023 | + | 0.0928420i | ||||
\(482\) | 10.2365 | + | 2.03750i | 0.466258 | + | 0.0928058i | ||||
\(483\) | 19.2694 | + | 10.7076i | 0.876787 | + | 0.487212i | ||||
\(484\) | −4.48394 | + | 10.8174i | −0.203815 | + | 0.491702i | ||||
\(485\) | 0.0635180 | − | 0.0635180i | 0.00288420 | − | 0.00288420i | ||||
\(486\) | −2.51747 | + | 21.9012i | −0.114195 | + | 0.993458i | ||||
\(487\) | − | 15.8010i | − | 0.716012i | −0.933719 | − | 0.358006i | \(-0.883457\pi\) | ||
0.933719 | − | 0.358006i | \(-0.116543\pi\) | |||||||
\(488\) | −7.24407 | + | 6.34801i | −0.327924 | + | 0.287361i | ||||
\(489\) | 6.99539 | + | 24.4926i | 0.316342 | + | 1.10759i | ||||
\(490\) | −0.404713 | + | 0.270347i | −0.0182831 | + | 0.0122130i | ||||
\(491\) | 2.93103 | + | 10.9388i | 0.132276 | + | 0.493659i | 0.999994 | − | 0.00339642i | \(-0.00108112\pi\) |
−0.867719 | + | 0.497056i | \(0.834414\pi\) | |||||||
\(492\) | 6.43358 | − | 5.10386i | 0.290048 | − | 0.230100i | ||||
\(493\) | −1.08820 | + | 4.06122i | −0.0490101 | + | 0.182908i | ||||
\(494\) | −2.85861 | + | 0.969964i | −0.128615 | + | 0.0436407i | ||||
\(495\) | 0.413529 | − | 0.257199i | 0.0185867 | − | 0.0115602i | ||||
\(496\) | 9.34171 | − | 34.7932i | 0.419455 | − | 1.56226i | ||||
\(497\) | −0.268562 | − | 0.465164i | −0.0120467 | − | 0.0208654i | ||||
\(498\) | −1.11195 | − | 13.5750i | −0.0498278 | − | 0.608309i | ||||
\(499\) | 3.88323 | − | 1.04051i | 0.173837 | − | 0.0465796i | −0.170850 | − | 0.985297i | \(-0.554651\pi\) |
0.344688 | + | 0.938717i | \(0.387985\pi\) | |||||||
\(500\) | 0.871167 | − | 1.13473i | 0.0389598 | − | 0.0507467i | ||||
\(501\) | 5.59840 | + | 9.33943i | 0.250118 | + | 0.417255i | ||||
\(502\) | 1.14190 | + | 17.4559i | 0.0509655 | + | 0.779096i | ||||
\(503\) | − | 24.1846i | − | 1.07834i | −0.842198 | − | 0.539169i | \(-0.818739\pi\) | ||
0.842198 | − | 0.539169i | \(-0.181261\pi\) | |||||||
\(504\) | 5.91761 | + | 11.0789i | 0.263591 | + | 0.493492i | ||||
\(505\) | 0.395536i | 0.0176011i | ||||||||
\(506\) | 27.5227 | − | 1.80043i | 1.22353 | − | 0.0800389i | ||||
\(507\) | −22.2334 | + | 0.364802i | −0.987421 | + | 0.0162014i | ||||
\(508\) | 2.65671 | + | 20.2193i | 0.117872 | + | 0.897085i | ||||
\(509\) | −12.5563 | + | 3.36446i | −0.556550 | + | 0.149127i | −0.526121 | − | 0.850410i | \(-0.676354\pi\) |
−0.0304290 | + | 0.999537i | \(0.509687\pi\) | |||||||
\(510\) | −0.0848878 | − | 0.122672i | −0.00375890 | − | 0.00543203i | ||||
\(511\) | 11.7490 | + | 20.3498i | 0.519743 | + | 0.900222i | ||||
\(512\) | 4.43968 | − | 22.1876i | 0.196208 | − | 0.980562i | ||||
\(513\) | −18.5147 | + | 20.4332i | −0.817442 | + | 0.902147i | ||||
\(514\) | −2.00915 | − | 5.92124i | −0.0886199 | − | 0.261175i | ||||
\(515\) | −0.205310 | + | 0.766227i | −0.00904703 | + | 0.0337640i | ||||
\(516\) | 5.33992 | − | 7.19690i | 0.235077 | − | 0.316826i | ||||
\(517\) | −4.01562 | − | 14.9865i | −0.176607 | − | 0.659105i | ||||
\(518\) | 6.79671 | + | 10.1748i | 0.298630 | + | 0.447054i | ||||
\(519\) | 14.1630 | − | 14.6355i | 0.621685 | − | 0.642427i | ||||
\(520\) | −0.00535609 | + | 0.0812451i | −0.000234880 | + | 0.00356283i | ||||
\(521\) | − | 3.39592i | − | 0.148778i | −0.997229 | − | 0.0743889i | \(-0.976299\pi\) | ||
0.997229 | − | 0.0743889i | \(-0.0237006\pi\) | |||||||
\(522\) | 8.65165 | − | 19.0926i | 0.378672 | − | 0.835661i | ||||
\(523\) | −21.4956 | + | 21.4956i | −0.939938 | + | 0.939938i | −0.998296 | − | 0.0583574i | \(-0.981414\pi\) |
0.0583574 | + | 0.998296i | \(0.481414\pi\) | |||||||
\(524\) | −5.38101 | − | 13.0002i | −0.235071 | − | 0.567917i | ||||
\(525\) | −10.9839 | + | 6.58413i | −0.479375 | + | 0.287355i | ||||
\(526\) | 3.02399 | − | 15.1926i | 0.131852 | − | 0.662427i | ||||
\(527\) | 3.83221 | − | 6.63758i | 0.166934 | − | 0.289138i | ||||
\(528\) | 13.7328 | + | 7.64013i | 0.597643 | + | 0.332494i | ||||
\(529\) | 25.4648 | + | 44.1063i | 1.10716 | + | 1.91767i | ||||
\(530\) | 0.535956 | − | 0.181857i | 0.0232805 | − | 0.00789936i | ||||
\(531\) | 29.2562 | − | 31.2421i | 1.26961 | − | 1.35579i | ||||
\(532\) | −2.05450 | + | 15.5750i | −0.0890739 | + | 0.675262i | ||||
\(533\) | −0.921094 | − | 0.246806i | −0.0398970 | − | 0.0106904i | ||||
\(534\) | 10.8763 | + | 30.4053i | 0.470666 | + | 1.31577i | ||||
\(535\) | −0.605034 | − | 0.349316i | −0.0261579 | − | 0.0151023i | ||||
\(536\) | −17.9525 | − | 6.10165i | −0.775428 | − | 0.263551i | ||||
\(537\) | −6.20101 | − | 21.7112i | −0.267593 | − | 0.936909i | ||||
\(538\) | −21.2298 | + | 1.38878i | −0.915283 | + | 0.0598744i | ||||
\(539\) | 7.71302 | − | 7.71302i | 0.332223 | − | 0.332223i | ||||
\(540\) | 0.317904 | + | 0.672363i | 0.0136804 | + | 0.0289339i | ||||
\(541\) | −14.7438 | − | 14.7438i | −0.633886 | − | 0.633886i | 0.315154 | − | 0.949041i | \(-0.397944\pi\) |
−0.949041 | + | 0.315154i | \(0.897944\pi\) | |||||||
\(542\) | 17.8320 | − | 20.3283i | 0.765950 | − | 0.873176i | ||||
\(543\) | −27.3025 | + | 7.79795i | −1.17166 | + | 0.334642i | ||||
\(544\) | 2.13190 | − | 4.31618i | 0.0914046 | − | 0.185055i | ||||
\(545\) | −0.475261 | + | 0.823176i | −0.0203579 | + | 0.0352610i | ||||
\(546\) | 0.623685 | − | 1.31839i | 0.0266913 | − | 0.0564218i | ||||
\(547\) | 8.21413 | − | 30.6555i | 0.351211 | − | 1.31074i | −0.533976 | − | 0.845500i | \(-0.679303\pi\) |
0.885186 | − | 0.465236i | \(-0.154031\pi\) | |||||||
\(548\) | 17.6620 | + | 23.0296i | 0.754482 | + | 0.983776i | ||||
\(549\) | 9.77603 | − | 2.96646i | 0.417231 | − | 0.126606i | ||||
\(550\) | −7.08845 | + | 14.3694i | −0.302252 | + | 0.612712i | ||||
\(551\) | 22.7053 | − | 13.1089i | 0.967278 | − | 0.558458i | ||||
\(552\) | −2.08099 | + | 42.0711i | −0.0885730 | + | 1.79067i | ||||
\(553\) | 13.9816 | + | 8.07229i | 0.594559 | + | 0.343269i | ||||
\(554\) | −12.2758 | + | 8.20016i | −0.521548 | + | 0.348391i | ||||
\(555\) | 0.372513 | + | 0.621439i | 0.0158123 | + | 0.0263786i | ||||
\(556\) | −9.74880 | + | 4.03519i | −0.413441 | + | 0.171130i | ||||
\(557\) | −16.6150 | − | 16.6150i | −0.704002 | − | 0.704002i | 0.261265 | − | 0.965267i | \(-0.415860\pi\) |
−0.965267 | + | 0.261265i | \(0.915860\pi\) | |||||||
\(558\) | −24.2418 | + | 29.5364i | −1.02624 | + | 1.25038i | ||||
\(559\) | −1.04060 | −0.0440129 | ||||||||
\(560\) | 0.366858 | + | 0.212053i | 0.0155026 | + | 0.00896090i | ||||
\(561\) | 2.40259 | + | 2.32502i | 0.101437 | + | 0.0981622i | ||||
\(562\) | −3.88212 | + | 19.5038i | −0.163757 | + | 0.822719i | ||||
\(563\) | 2.33528 | − | 0.625738i | 0.0984205 | − | 0.0263717i | −0.209273 | − | 0.977857i | \(-0.567110\pi\) |
0.307693 | + | 0.951486i | \(0.400443\pi\) | |||||||
\(564\) | 23.4391 | − | 3.47184i | 0.986962 | − | 0.146191i | ||||
\(565\) | −0.803484 | − | 0.215293i | −0.0338028 | − | 0.00905745i | ||||
\(566\) | −32.3847 | − | 15.9755i | −1.36123 | − | 0.671499i | ||||
\(567\) | −0.873644 | − | 13.2935i | −0.0366896 | − | 0.558272i | ||||
\(568\) | 0.570525 | − | 0.853149i | 0.0239387 | − | 0.0357974i | ||||
\(569\) | 8.83926 | − | 5.10335i | 0.370561 | − | 0.213943i | −0.303143 | − | 0.952945i | \(-0.598036\pi\) |
0.673703 | + | 0.739002i | \(0.264703\pi\) | |||||||
\(570\) | −0.166603 | + | 0.915193i | −0.00697824 | + | 0.0383332i | ||||
\(571\) | −5.61069 | − | 20.9394i | −0.234800 | − | 0.876285i | −0.978239 | − | 0.207481i | \(-0.933473\pi\) |
0.743439 | − | 0.668804i | \(-0.233193\pi\) | |||||||
\(572\) | −0.237725 | − | 1.80925i | −0.00993980 | − | 0.0756484i | ||||
\(573\) | 0.635734 | + | 38.7458i | 0.0265582 | + | 1.61863i | ||||
\(574\) | −3.27259 | + | 3.73072i | −0.136595 | + | 0.155717i | ||||
\(575\) | −42.9471 | −1.79102 | ||||||||
\(576\) | −13.9926 | + | 19.4989i | −0.583024 | + | 0.812455i | ||||
\(577\) | −17.0725 | −0.710737 | −0.355369 | − | 0.934726i | \(-0.615645\pi\) | ||||
−0.355369 | + | 0.934726i | \(0.615645\pi\) | |||||||
\(578\) | −15.1787 | + | 17.3035i | −0.631349 | + | 0.719731i | ||||
\(579\) | 21.3304 | − | 12.7862i | 0.886462 | − | 0.531378i | ||||
\(580\) | −0.0921252 | − | 0.701132i | −0.00382529 | − | 0.0291129i | ||||
\(581\) | 2.13031 | + | 7.95043i | 0.0883802 | + | 0.329839i | ||||
\(582\) | −2.34427 | − | 1.98930i | −0.0971733 | − | 0.0824592i | ||||
\(583\) | −10.9850 | + | 6.34217i | −0.454951 | + | 0.262666i | ||||
\(584\) | −24.9591 | + | 37.3232i | −1.03282 | + | 1.54445i | ||||
\(585\) | 0.0407034 | − | 0.0761668i | 0.00168288 | − | 0.00314911i | ||||
\(586\) | 17.4067 | + | 8.58678i | 0.719065 | + | 0.354717i | ||||
\(587\) | 13.5581 | + | 3.63287i | 0.559602 | + | 0.149945i | 0.527523 | − | 0.849541i | \(-0.323121\pi\) |
0.0320783 | + | 0.999485i | \(0.489787\pi\) | |||||||
\(588\) | 10.3532 | + | 13.0506i | 0.426959 | + | 0.538196i | ||||
\(589\) | −46.1643 | + | 12.3697i | −1.90217 | + | 0.509684i | ||||
\(590\) | 0.281885 | − | 1.41619i | 0.0116050 | − | 0.0583037i | ||||
\(591\) | 3.71049 | − | 1.05976i | 0.152629 | − | 0.0435928i | ||||
\(592\) | −11.7006 | + | 20.2423i | −0.480890 | + | 0.831952i | ||||
\(593\) | −27.5850 | −1.13278 | −0.566390 | − | 0.824137i | \(-0.691660\pi\) | ||||
−0.566390 | + | 0.824137i | \(0.691660\pi\) | |||||||
\(594\) | −9.92935 | − | 13.3880i | −0.407406 | − | 0.549318i | ||||
\(595\) | 0.0637455 | + | 0.0637455i | 0.00261331 | + | 0.00261331i | ||||
\(596\) | 36.9868 | − | 15.3095i | 1.51504 | − | 0.627101i | ||||
\(597\) | 1.45339 | − | 2.61552i | 0.0594832 | − | 0.107046i | ||||
\(598\) | 4.06722 | − | 2.71689i | 0.166321 | − | 0.111102i | ||||
\(599\) | −34.8788 | − | 20.1373i | −1.42511 | − | 0.822788i | −0.428380 | − | 0.903598i | \(-0.640916\pi\) |
−0.996729 | + | 0.0808109i | \(0.974249\pi\) | |||||||
\(600\) | −20.5612 | − | 13.2669i | −0.839406 | − | 0.541619i | ||||
\(601\) | −5.90297 | + | 3.40808i | −0.240787 | + | 0.139018i | −0.615538 | − | 0.788107i | \(-0.711061\pi\) |
0.374751 | + | 0.927125i | \(0.377728\pi\) | |||||||
\(602\) | −2.39584 | + | 4.85674i | −0.0976473 | + | 0.197946i | ||||
\(603\) | 14.6797 | + | 13.7466i | 0.597802 | + | 0.559804i | ||||
\(604\) | 15.5873 | + | 20.3245i | 0.634240 | + | 0.826991i | ||||
\(605\) | 0.108449 | − | 0.404736i | 0.00440907 | − | 0.0164549i | ||||
\(606\) | 13.4929 | − | 1.10523i | 0.548112 | − | 0.0448970i | ||||
\(607\) | −1.09235 | + | 1.89200i | −0.0443370 | + | 0.0767939i | −0.887342 | − | 0.461111i | \(-0.847451\pi\) |
0.843005 | + | 0.537905i | \(0.180784\pi\) | |||||||
\(608\) | −28.4314 | + | 9.63110i | −1.15305 | + | 0.390593i | ||||
\(609\) | −3.07730 | + | 12.2876i | −0.124699 | + | 0.497917i | ||||
\(610\) | 0.227281 | − | 0.259098i | 0.00920232 | − | 0.0104906i | ||||
\(611\) | −1.94553 | − | 1.94553i | −0.0787077 | − | 0.0787077i | ||||
\(612\) | −3.94753 | + | 3.23856i | −0.159569 | + | 0.130911i | ||||
\(613\) | 15.3068 | − | 15.3068i | 0.618236 | − | 0.618236i | −0.326843 | − | 0.945079i | \(-0.605985\pi\) |
0.945079 | + | 0.326843i | \(0.105985\pi\) | |||||||
\(614\) | −28.1642 | + | 1.84240i | −1.13661 | + | 0.0743531i | ||||
\(615\) | −0.204350 | + | 0.211168i | −0.00824020 | + | 0.00851512i | ||||
\(616\) | −8.99149 | − | 3.05601i | −0.362278 | − | 0.123130i | ||||
\(617\) | 10.1056 | + | 5.83447i | 0.406836 | + | 0.234887i | 0.689429 | − | 0.724353i | \(-0.257861\pi\) |
−0.282593 | + | 0.959240i | \(0.591195\pi\) | |||||||
\(618\) | 26.7120 | + | 4.86270i | 1.07451 | + | 0.195606i | ||||
\(619\) | 4.24500 | + | 1.13744i | 0.170621 | + | 0.0457178i | 0.343118 | − | 0.939292i | \(-0.388517\pi\) |
−0.172497 | + | 0.985010i | \(0.555184\pi\) | |||||||
\(620\) | −0.168584 | + | 1.27802i | −0.00677049 | + | 0.0513265i | ||||
\(621\) | 20.4082 | − | 39.7442i | 0.818952 | − | 1.59488i | ||||
\(622\) | 17.4609 | − | 5.92472i | 0.700119 | − | 0.237560i | ||||
\(623\) | −9.75711 | − | 16.8998i | −0.390910 | − | 0.677076i | ||||
\(624\) | 2.78648 | − | 0.0443081i | 0.111549 | − | 0.00177374i | ||||
\(625\) | 12.4616 | − | 21.5841i | 0.498464 | − | 0.863365i | ||||
\(626\) | 2.07373 | − | 10.4184i | 0.0828828 | − | 0.416405i | ||||
\(627\) | −0.342027 | − | 20.8453i | −0.0136592 | − | 0.832483i | ||||
\(628\) | 5.85355 | + | 14.1419i | 0.233582 | + | 0.564321i | ||||
\(629\) | −3.51731 | + | 3.51731i | −0.140244 | + | 0.140244i | ||||
\(630\) | −0.261774 | − | 0.365335i | −0.0104293 | − | 0.0145553i | ||||
\(631\) | − | 31.5374i | − | 1.25548i | −0.778422 | − | 0.627742i | \(-0.783979\pi\) | ||
0.778422 | − | 0.627742i | \(-0.216021\pi\) | |||||||
\(632\) | −2.02932 | + | 30.7822i | −0.0807218 | + | 1.22445i | ||||
\(633\) | −20.7695 | − | 5.20152i | −0.825513 | − | 0.206742i | ||||
\(634\) | 1.18459 | + | 1.77335i | 0.0470460 | + | 0.0704286i | ||||
\(635\) | −0.188865 | − | 0.704855i | −0.00749489 | − | 0.0279713i | ||||
\(636\) | −7.70129 | − | 17.7749i | −0.305376 | − | 0.704822i | ||||
\(637\) | 0.500648 | − | 1.86844i | 0.0198364 | − | 0.0740304i | ||||
\(638\) | 5.09248 | + | 15.0082i | 0.201613 | + | 0.594181i | ||||
\(639\) | −0.924384 | + | 0.574932i | −0.0365681 | + | 0.0227439i | ||||
\(640\) | −0.0536713 | + | 0.807890i | −0.00212154 | + | 0.0319347i | ||||
\(641\) | 9.38996 | + | 16.2639i | 0.370881 | + | 0.642385i | 0.989701 | − | 0.143148i | \(-0.0457225\pi\) |
−0.618820 | + | 0.785533i | \(0.712389\pi\) | |||||||
\(642\) | −10.2256 | + | 21.6156i | −0.403573 | + | 0.853100i | ||||
\(643\) | 25.9164 | − | 6.94427i | 1.02204 | − | 0.273855i | 0.291389 | − | 0.956605i | \(-0.405883\pi\) |
0.730653 | + | 0.682749i | \(0.239216\pi\) | |||||||
\(644\) | −3.31613 | − | 25.2379i | −0.130674 | − | 0.994513i | ||||
\(645\) | −0.155758 | + | 0.280302i | −0.00613295 | + | 0.0110369i | ||||
\(646\) | −6.37280 | + | 0.416885i | −0.250734 | + | 0.0164021i | ||||
\(647\) | 16.5176i | 0.649373i | 0.945822 | + | 0.324686i | \(0.105259\pi\) | ||||
−0.945822 | + | 0.324686i | \(0.894741\pi\) | |||||||
\(648\) | 22.0480 | − | 12.7234i | 0.866128 | − | 0.499823i | ||||
\(649\) | 32.3620i | 1.27032i | ||||||||
\(650\) | 0.185477 | + | 2.83533i | 0.00727499 | + | 0.111211i | ||||
\(651\) | 11.2158 | − | 20.1841i | 0.439584 | − | 0.791075i | ||||
\(652\) | 17.9111 | − | 23.3300i | 0.701453 | − | 0.913672i | ||||
\(653\) | −40.4003 | + | 10.8252i | −1.58099 | + | 0.423624i | −0.939231 | − | 0.343285i | \(-0.888460\pi\) |
−0.641756 | + | 0.766909i | \(0.721794\pi\) | |||||||
\(654\) | 29.4090 | + | 13.9124i | 1.14998 | + | 0.544018i | ||||
\(655\) | 0.251729 | + | 0.436008i | 0.00983587 | + | 0.0170362i | ||||
\(656\) | −9.15829 | − | 2.45893i | −0.357571 | − | 0.0960050i | ||||
\(657\) | 40.4396 | − | 25.1519i | 1.57770 | − | 0.981268i | ||||
\(658\) | −13.5595 | + | 4.60093i | −0.528606 | + | 0.179363i | ||||
\(659\) | 3.04918 | − | 11.3797i | 0.118779 | − | 0.443290i | −0.880763 | − | 0.473558i | \(-0.842969\pi\) |
0.999542 | + | 0.0302682i | \(0.00963613\pi\) | |||||||
\(660\) | −0.522929 | − | 0.206773i | −0.0203550 | − | 0.00804864i | ||||
\(661\) | −10.4985 | − | 39.1808i | −0.408343 | − | 1.52396i | −0.797807 | − | 0.602913i | \(-0.794006\pi\) |
0.389464 | − | 0.921042i | \(-0.372660\pi\) | |||||||
\(662\) | 24.0788 | − | 16.0845i | 0.935850 | − | 0.625144i | ||||
\(663\) | 0.575137 | + | 0.144037i | 0.0223365 | + | 0.00559395i | ||||
\(664\) | −11.8285 | + | 10.3654i | −0.459036 | + | 0.402255i | ||||
\(665\) | − | 0.562144i | − | 0.0217990i | ||||||
\(666\) | 20.1582 | − | 14.4440i | 0.781116 | − | 0.559694i | ||||
\(667\) | −30.0385 | + | 30.0385i | −1.16309 | + | 1.16309i | ||||
\(668\) | 4.81456 | − | 11.6151i | 0.186281 | − | 0.449400i | ||||
\(669\) | −0.410364 | − | 25.0102i | −0.0158656 | − | 0.966952i | ||||
\(670\) | 0.665424 | + | 0.132449i | 0.0257076 | + | 0.00511694i | ||||
\(671\) | −3.86217 | + | 6.68948i | −0.149098 | + | 0.258245i | ||||
\(672\) | 6.20868 | − | 13.1072i | 0.239505 | − | 0.505620i | ||||
\(673\) | −6.73175 | − | 11.6597i | −0.259490 | − | 0.449450i | 0.706615 | − | 0.707598i | \(-0.250221\pi\) |
−0.966105 | + | 0.258148i | \(0.916888\pi\) | |||||||
\(674\) | −4.37539 | − | 12.8949i | −0.168534 | − | 0.496691i | ||||
\(675\) | 14.0672 | + | 21.8113i | 0.541447 | + | 0.839516i | ||||
\(676\) | 15.6256 | + | 20.3744i | 0.600986 | + | 0.783631i | ||||
\(677\) | −9.58227 | − | 2.56756i | −0.368277 | − | 0.0986794i | 0.0699343 | − | 0.997552i | \(-0.477721\pi\) |
−0.438211 | + | 0.898872i | \(0.644388\pi\) | |||||||
\(678\) | −5.09914 | + | 28.0109i | −0.195831 | + | 1.07575i | ||||
\(679\) | 1.60905 | + | 0.928986i | 0.0617497 | + | 0.0356512i | ||||
\(680\) | −0.0554323 | + | 0.163095i | −0.00212573 | + | 0.00625440i | ||||
\(681\) | 2.01483 | − | 2.08205i | 0.0772085 | − | 0.0797844i | ||||
\(682\) | −1.88589 | − | 28.8291i | −0.0722146 | − | 1.10392i | ||||
\(683\) | 4.48800 | − | 4.48800i | 0.171728 | − | 0.171728i | −0.616010 | − | 0.787738i | \(-0.711252\pi\) |
0.787738 | + | 0.616010i | \(0.211252\pi\) | |||||||
\(684\) | 31.6855 | + | 3.12604i | 1.21153 | + | 0.119527i | ||||
\(685\) | −0.734335 | − | 0.734335i | −0.0280575 | − | 0.0280575i | ||||
\(686\) | −18.5837 | − | 16.3016i | −0.709530 | − | 0.622400i | ||||
\(687\) | −8.54725 | + | 34.1289i | −0.326098 | + | 1.30210i | ||||
\(688\) | −10.3480 | − | 0.00524243i | −0.394512 | − | 0.000199866i | ||||
\(689\) | −1.12470 | + | 1.94803i | −0.0428475 | + | 0.0742140i | ||||
\(690\) | −0.123051 | − | 1.50223i | −0.00468446 | − | 0.0571889i | ||||
\(691\) | −9.62336 | + | 35.9149i | −0.366090 | + | 1.36627i | 0.499847 | + | 0.866114i | \(0.333390\pi\) |
−0.865937 | + | 0.500153i | \(0.833277\pi\) | |||||||
\(692\) | −23.3150 | − | 3.07549i | −0.886305 | − | 0.116913i | ||||
\(693\) | 7.35231 | + | 6.88498i | 0.279291 | + | 0.261539i | ||||
\(694\) | −11.4515 | − | 5.64908i | −0.434694 | − | 0.214436i | ||||
\(695\) | 0.326960 | − | 0.188770i | 0.0124023 | − | 0.00716047i | ||||
\(696\) | −23.6603 | + | 5.10182i | −0.896842 | + | 0.193384i | ||||
\(697\) | −1.74715 | − | 1.00872i | −0.0661780 | − | 0.0382079i | ||||
\(698\) | −21.5490 | − | 32.2592i | −0.815641 | − | 1.22103i | ||||
\(699\) | 19.8391 | − | 35.7024i | 0.750382 | − | 1.35039i | ||||
\(700\) | 13.6602 | + | 5.66228i | 0.516305 | + | 0.214014i | ||||
\(701\) | 36.9558 | + | 36.9558i | 1.39580 | + | 1.39580i | 0.811628 | + | 0.584175i | \(0.198582\pi\) |
0.584175 | + | 0.811628i | \(0.301418\pi\) | |||||||
\(702\) | −2.71201 | − | 1.17568i | −0.102358 | − | 0.0443734i | ||||
\(703\) | 31.0176 | 1.16985 | ||||||||
\(704\) | −2.35487 | − | 17.9927i | −0.0887526 | − | 0.678125i | ||||
\(705\) | −0.815264 | + | 0.232850i | −0.0307046 | + | 0.00876963i | ||||
\(706\) | −6.13278 | − | 1.22069i | −0.230810 | − | 0.0459414i | ||||
\(707\) | −7.90237 | + | 2.11743i | −0.297199 | + | 0.0796343i | ||||
\(708\) | −49.0983 | − | 5.65872i | −1.84523 | − | 0.212668i | ||||
\(709\) | 5.72979 | + | 1.53529i | 0.215187 | + | 0.0576591i | 0.364802 | − | 0.931085i | \(-0.381137\pi\) |
−0.149615 | + | 0.988744i | \(0.547803\pi\) | |||||||
\(710\) | −0.0162472 | + | 0.0329356i | −0.000609748 | + | 0.00123605i | ||||
\(711\) | 15.4217 | − | 28.8581i | 0.578359 | − | 1.08226i | ||||
\(712\) | 20.7277 | − | 30.9957i | 0.776803 | − | 1.16161i | ||||
\(713\) | 67.0640 | − | 38.7194i | 2.51157 | − | 1.45005i | ||||
\(714\) | 1.99643 | − | 2.35267i | 0.0747144 | − | 0.0880465i | ||||
\(715\) | 0.0168999 | + | 0.0630713i | 0.000632021 | + | 0.00235873i | ||||
\(716\) | −15.8772 | + | 20.6807i | −0.593357 | + | 0.772873i | ||||
\(717\) | 12.7285 | − | 7.62996i | 0.475356 | − | 0.284946i | ||||
\(718\) | 23.1008 | + | 20.2640i | 0.862114 | + | 0.756247i | ||||
\(719\) | 9.58462 | 0.357446 | 0.178723 | − | 0.983899i | \(-0.442803\pi\) | ||||
0.178723 | + | 0.983899i | \(0.442803\pi\) | |||||||
\(720\) | 0.405146 | − | 0.757212i | 0.0150989 | − | 0.0282196i | ||||
\(721\) | −16.4075 | −0.611046 | ||||||||
\(722\) | 9.73791 | + | 8.54210i | 0.362408 | + | 0.317904i | ||||
\(723\) | 0.209713 | + | 12.7813i | 0.00779931 | + | 0.475340i | ||||
\(724\) | 26.0066 | + | 19.9660i | 0.966526 | + | 0.742031i | ||||
\(725\) | −6.38711 | − | 23.8370i | −0.237211 | − | 0.885285i | ||||
\(726\) | −14.1098 | − | 2.56857i | −0.523664 | − | 0.0953286i | ||||
\(727\) | −34.4374 | + | 19.8824i | −1.27721 | + | 0.737399i | −0.976335 | − | 0.216264i | \(-0.930613\pi\) |
−0.300877 | + | 0.953663i | \(0.597279\pi\) | |||||||
\(728\) | −1.65186 | + | 0.327923i | −0.0612220 | + | 0.0121536i | ||||
\(729\) | −26.8693 | + | 2.65354i | −0.995159 | + | 0.0982793i | ||||
\(730\) | 0.710778 | − | 1.44086i | 0.0263071 | − | 0.0533284i | ||||
\(731\) | −2.12651 | − | 0.569798i | −0.0786520 | − | 0.0210747i | ||||
\(732\) | −9.47368 | − | 7.02924i | −0.350157 | − | 0.259808i | ||||
\(733\) | 34.9901 | − | 9.37557i | 1.29239 | − | 0.346295i | 0.453822 | − | 0.891092i | \(-0.350060\pi\) |
0.838567 | + | 0.544798i | \(0.183394\pi\) | |||||||
\(734\) | 3.57029 | + | 0.710645i | 0.131782 | + | 0.0262304i | ||||
\(735\) | −0.428356 | − | 0.414526i | −0.0158001 | − | 0.0152900i | ||||
\(736\) | 40.4589 | − | 26.9967i | 1.49134 | − | 0.995113i | ||||
\(737\) | −15.2059 | −0.560115 | ||||||||
\(738\) | 7.77459 | + | 6.38094i | 0.286186 | + | 0.234886i | ||||
\(739\) | −7.78860 | − | 7.78860i | −0.286508 | − | 0.286508i | 0.549190 | − | 0.835698i | \(-0.314936\pi\) |
−0.835698 | + | 0.549190i | \(0.814936\pi\) | |||||||
\(740\) | 0.320357 | − | 0.772857i | 0.0117766 | − | 0.0284108i | ||||
\(741\) | −1.90084 | − | 3.17105i | −0.0698291 | − | 0.116491i | ||||
\(742\) | 6.50245 | + | 9.73427i | 0.238712 | + | 0.357356i | ||||
\(743\) | 3.75539 | + | 2.16817i | 0.137772 | + | 0.0795426i | 0.567302 | − | 0.823510i | \(-0.307987\pi\) |
−0.429530 | + | 0.903053i | \(0.641321\pi\) | |||||||
\(744\) | 44.0681 | + | 2.17977i | 1.61562 | + | 0.0799144i | ||||
\(745\) | −1.24048 | + | 0.716193i | −0.0454477 | + | 0.0262393i | ||||
\(746\) | −1.87475 | − | 0.924818i | −0.0686393 | − | 0.0338600i | ||||
\(747\) | 15.9628 | − | 4.84380i | 0.584050 | − | 0.177226i | ||||
\(748\) | 0.504878 | − | 3.82743i | 0.0184602 | − | 0.139945i | ||||
\(749\) | 3.74001 | − | 13.9579i | 0.136657 | − | 0.510011i | ||||
\(750\) | 1.58381 | + | 0.749246i | 0.0578325 | + | 0.0273586i | ||||
\(751\) | −6.74026 | + | 11.6745i | −0.245956 | + | 0.426008i | −0.962400 | − | 0.271637i | \(-0.912435\pi\) |
0.716444 | + | 0.697644i | \(0.245768\pi\) | |||||||
\(752\) | −19.3369 | − | 19.3565i | −0.705145 | − | 0.705860i | ||||
\(753\) | −20.6010 | + | 5.88389i | −0.750741 | + | 0.214421i | ||||
\(754\) | 2.11284 | + | 1.85338i | 0.0769450 | + | 0.0674962i | ||||
\(755\) | −0.648077 | − | 0.648077i | −0.0235859 | − | 0.0235859i | ||||
\(756\) | −11.7312 | + | 9.95074i | −0.426660 | + | 0.361905i | ||||
\(757\) | 25.9901 | − | 25.9901i | 0.944625 | − | 0.944625i | −0.0539205 | − | 0.998545i | \(-0.517172\pi\) |
0.998545 | + | 0.0539205i | \(0.0171718\pi\) | |||||||
\(758\) | −0.609243 | − | 9.31333i | −0.0221287 | − | 0.338275i | ||||
\(759\) | 9.27712 | + | 32.4815i | 0.336738 | + | 1.17900i | ||||
\(760\) | 0.963548 | − | 0.474714i | 0.0349516 | − | 0.0172197i | ||||
\(761\) | 29.3955 | + | 16.9715i | 1.06558 | + | 0.615216i | 0.926972 | − | 0.375131i | \(-0.122402\pi\) |
0.138613 | + | 0.990347i | \(0.455736\pi\) | |||||||
\(762\) | −23.5170 | + | 8.41232i | −0.851931 | + | 0.304746i | ||||
\(763\) | −18.9904 | − | 5.08845i | −0.687498 | − | 0.184214i | ||||
\(764\) | 35.5061 | − | 27.2305i | 1.28457 | − | 0.985165i | ||||
\(765\) | 0.124885 | − | 0.133362i | 0.00451523 | − | 0.00482171i | ||||
\(766\) | 1.34848 | + | 3.97416i | 0.0487227 | + | 0.143592i | ||||
\(767\) | 2.86947 | + | 4.97006i | 0.103610 | + | 0.179459i | ||||
\(768\) | 27.7095 | − | 0.426570i | 0.999882 | − | 0.0153925i | ||||
\(769\) | 2.38011 | − | 4.12248i | 0.0858291 | − | 0.148660i | −0.819915 | − | 0.572485i | \(-0.805979\pi\) |
0.905744 | + | 0.423825i | \(0.139313\pi\) | |||||||
\(770\) | 0.333278 | + | 0.0663370i | 0.0120105 | + | 0.00239062i | ||||
\(771\) | 6.56840 | − | 3.93734i | 0.236555 | − | 0.141800i | ||||
\(772\) | −26.5277 | − | 10.9960i | −0.954754 | − | 0.395756i | ||||
\(773\) | −38.1267 | + | 38.1267i | −1.37132 | + | 1.37132i | −0.512837 | + | 0.858486i | \(0.671405\pi\) |
−0.858486 | + | 0.512837i | \(0.828595\pi\) | |||||||
\(774\) | 9.99717 | + | 4.53012i | 0.359341 | + | 0.162832i | ||||
\(775\) | 44.9857i | 1.61593i | ||||||||
\(776\) | −0.233540 | + | 3.54251i | −0.00838361 | + | 0.127169i | ||||
\(777\) | −10.4215 | + | 10.7692i | −0.373868 | + | 0.386342i | ||||
\(778\) | −35.6961 | + | 23.8449i | −1.27977 | + | 0.854879i | ||||
\(779\) | 3.25596 | + | 12.1514i | 0.116657 | + | 0.435369i | ||||
\(780\) | −0.0986443 | + | 0.0146114i | −0.00353203 | + | 0.000523172i | ||||
\(781\) | 0.213027 | − | 0.795027i | 0.00762270 | − | 0.0284483i | ||||
\(782\) | 9.79919 | − | 3.32499i | 0.350418 | − | 0.118902i | ||||
\(783\) | 25.0944 | + | 5.41642i | 0.896802 | + | 0.193567i | ||||
\(784\) | 4.98795 | − | 18.5776i | 0.178141 | − | 0.663487i | ||||
\(785\) | −0.273835 | − | 0.474296i | −0.00977359 | − | 0.0169284i | ||||
\(786\) | 14.1701 | − | 9.80556i | 0.505432 | − | 0.349753i | ||||
\(787\) | −22.7721 | + | 6.10176i | −0.811736 | + | 0.217504i | −0.640730 | − | 0.767766i | \(-0.721368\pi\) |
−0.171006 | + | 0.985270i | \(0.554702\pi\) | |||||||
\(788\) | −3.53436 | − | 2.71344i | −0.125906 | − | 0.0966621i | ||||
\(789\) | 18.9695 | − | 0.311248i | 0.675331 | − | 0.0110807i | ||||
\(790\) | −0.0720564 | − | 1.10151i | −0.00256365 | − | 0.0391898i | ||||
\(791\) | − | 17.2053i | − | 0.611749i | ||||||
\(792\) | −5.59245 | + | 18.4165i | −0.198719 | + | 0.654401i | ||||
\(793\) | 1.36980i | 0.0486432i | ||||||||
\(794\) | 23.3148 | − | 1.52517i | 0.827411 | − | 0.0541262i | ||||
\(795\) | 0.356386 | + | 0.594534i | 0.0126397 | + | 0.0210860i | ||||
\(796\) | −3.42565 | + | 0.450113i | −0.121419 | + | 0.0159538i | ||||
\(797\) | 44.2911 | − | 11.8678i | 1.56887 | − | 0.420378i | 0.633413 | − | 0.773814i | \(-0.281654\pi\) |
0.935459 | + | 0.353436i | \(0.114987\pi\) | |||||||
\(798\) | −19.1764 | + | 1.57078i | −0.678838 | + | 0.0556050i | ||||
\(799\) | −2.91046 | − | 5.04107i | −0.102965 | − | 0.178340i | ||||
\(800\) | 1.83013 | + | 28.1960i | 0.0647049 | + | 0.996878i | ||||
\(801\) | −33.5837 | + | 20.8878i | −1.18662 | + | 0.738034i | ||||
\(802\) | −0.355130 | − | 1.04662i | −0.0125401 | − | 0.0369573i | ||||
\(803\) | −9.31941 | + | 34.7805i | −0.328875 | + | 1.22738i | ||||
\(804\) | 2.65885 | − | 23.0697i | 0.0937705 | − | 0.813606i | ||||
\(805\) | 0.235744 | + | 0.879807i | 0.00830887 | + | 0.0310091i | ||||
\(806\) | −2.84585 | − | 4.26028i | −0.100241 | − | 0.150062i | ||||
\(807\) | −7.15597 | − | 25.0548i | −0.251902 | − | 0.881971i | ||||
\(808\) | −10.3027 | − | 11.7570i | −0.362449 | − | 0.413611i | ||||
\(809\) | 8.89301i | 0.312662i | 0.987705 | + | 0.156331i | \(0.0499666\pi\) | ||||
−0.987705 | + | 0.156331i | \(0.950033\pi\) | |||||||
\(810\) | −0.722622 | + | 0.554544i | −0.0253904 | + | 0.0194847i | ||||
\(811\) | −31.7492 | + | 31.7492i | −1.11487 | + | 1.11487i | −0.122384 | + | 0.992483i | \(0.539054\pi\) |
−0.992483 | + | 0.122384i | \(0.960946\pi\) | |||||||
\(812\) | 13.5147 | − | 5.59395i | 0.474272 | − | 0.196309i | ||||
\(813\) | 28.9492 | + | 16.0865i | 1.01529 | + | 0.564177i | ||||
\(814\) | −3.66030 | + | 18.3894i | −0.128294 | + | 0.644548i | ||||
\(815\) | −0.526230 | + | 0.911457i | −0.0184330 | + | 0.0319269i | ||||
\(816\) | 5.71855 | + | 1.43523i | 0.200189 | + | 0.0502432i | ||||
\(817\) | 6.86401 | + | 11.8888i | 0.240141 | + | 0.415937i | ||||
\(818\) | 41.7317 | − | 14.1601i | 1.45911 | − | 0.495097i | ||||
\(819\) | 1.73963 | + | 0.405463i | 0.0607875 | + | 0.0141680i | ||||
\(820\) | 0.336401 | + | 0.0443747i | 0.0117476 | + | 0.00154963i | ||||
\(821\) | 46.9294 | + | 12.5747i | 1.63785 | + | 0.438860i | 0.956175 | − | 0.292797i | \(-0.0945861\pi\) |
0.681673 | + | 0.731657i | \(0.261253\pi\) | |||||||
\(822\) | −22.9984 | + | 27.1023i | −0.802163 | + | 0.945301i | ||||
\(823\) | 9.69600 | + | 5.59799i | 0.337981 | + | 0.195134i | 0.659379 | − | 0.751811i | \(-0.270819\pi\) |
−0.321398 | + | 0.946944i | \(0.604153\pi\) | |||||||
\(824\) | −13.8556 | − | 28.1234i | −0.482684 | − | 0.979724i | ||||
\(825\) | −19.0357 | − | 4.76732i | −0.662740 | − | 0.165977i | ||||
\(826\) | 29.8030 | − | 1.94960i | 1.03698 | − | 0.0678352i | ||||
\(827\) | 11.9898 | − | 11.9898i | 0.416927 | − | 0.416927i | −0.467216 | − | 0.884143i | \(-0.654743\pi\) |
0.884143 | + | 0.467216i | \(0.154743\pi\) | |||||||
\(828\) | −50.9017 | + | 8.39525i | −1.76896 | + | 0.291755i | ||||
\(829\) | −34.3253 | − | 34.3253i | −1.19217 | − | 1.19217i | −0.976458 | − | 0.215708i | \(-0.930794\pi\) |
−0.215708 | − | 0.976458i | \(-0.569206\pi\) | |||||||
\(830\) | 0.371116 | − | 0.423069i | 0.0128816 | − | 0.0146849i | ||||
\(831\) | −12.9929 | − | 12.5734i | −0.450718 | − | 0.436167i | ||||
\(832\) | −1.95703 | − | 2.55447i | −0.0678478 | − | 0.0885602i | ||||
\(833\) | 2.04619 | − | 3.54410i | 0.0708962 | − | 0.122796i | ||||
\(834\) | −7.35314 | − | 10.6261i | −0.254618 | − | 0.367952i | ||||
\(835\) | −0.116445 | + | 0.434579i | −0.00402975 | + | 0.0150392i | ||||
\(836\) | −19.1024 | + | 14.6501i | −0.660670 | + | 0.506684i | ||||
\(837\) | −41.6308 | − | 21.3769i | −1.43897 | − | 0.738894i | ||||
\(838\) | 14.3531 | − | 29.0959i | 0.495820 | − | 1.00510i | ||||
\(839\) | −43.4830 | + | 25.1049i | −1.50120 | + | 0.866719i | −0.501202 | + | 0.865331i | \(0.667109\pi\) |
−0.999999 | + | 0.00138814i | \(0.999558\pi\) | |||||||
\(840\) | −0.158920 | + | 0.494036i | −0.00548325 | + | 0.0170459i | ||||
\(841\) | 3.97509 | + | 2.29502i | 0.137072 | + | 0.0791386i | ||||
\(842\) | 30.4920 | − | 20.3685i | 1.05082 | − | 0.701946i | ||||
\(843\) | −24.3525 | + | 0.399572i | −0.838746 | + | 0.0137620i | ||||
\(844\) | 9.45538 | + | 22.8437i | 0.325467 | + | 0.786311i | ||||
\(845\) | −0.649670 | − | 0.649670i | −0.0223493 | − | 0.0223493i | ||||
\(846\) | 10.2213 | + | 27.1605i | 0.351414 | + | 0.933796i | ||||
\(847\) | 8.66674 | 0.297793 | ||||||||
\(848\) | −11.1940 | + | 19.3659i | −0.384403 | + | 0.665028i | ||||
\(849\) | 10.7443 | − | 42.9015i | 0.368742 | − | 1.47237i | ||||
\(850\) | −1.17350 | + | 5.89566i | −0.0402506 | + | 0.202220i | ||||
\(851\) | −48.5455 | + | 13.0077i | −1.66412 | + | 0.445899i | ||||
\(852\) | 1.16893 | + | 0.462212i | 0.0400470 | + | 0.0158351i | ||||
\(853\) | −26.0243 | − | 6.97320i | −0.891056 | − | 0.238758i | −0.215885 | − | 0.976419i | \(-0.569264\pi\) |
−0.675171 | + | 0.737661i | \(0.735930\pi\) | |||||||
\(854\) | 6.39319 | + | 3.15378i | 0.218770 | + | 0.107920i | ||||
\(855\) | −1.13869 | + | 0.0373768i | −0.0389422 | + | 0.00127826i | ||||
\(856\) | 27.0830 | − | 5.37645i | 0.925679 | − | 0.183763i | ||||
\(857\) | 12.5955 | − | 7.27203i | 0.430255 | − | 0.248408i | −0.269200 | − | 0.963084i | \(-0.586759\pi\) |
0.699455 | + | 0.714676i | \(0.253426\pi\) | |||||||
\(858\) | 2.10433 | − | 0.752745i | 0.0718406 | − | 0.0256983i | ||||
\(859\) | −1.20371 | − | 4.49231i | −0.0410701 | − | 0.153276i | 0.942346 | − | 0.334641i | \(-0.108615\pi\) |
−0.983416 | + | 0.181365i | \(0.941948\pi\) | |||||||
\(860\) | 0.367123 | − | 0.0482380i | 0.0125188 | − | 0.00164490i | ||||
\(861\) | −5.31286 | − | 2.95224i | −0.181062 | − | 0.100612i | ||||
\(862\) | 7.96394 | − | 9.07882i | 0.271253 | − | 0.309226i | ||||
\(863\) | 6.06219 | 0.206359 | 0.103180 | − | 0.994663i | \(-0.467098\pi\) | ||||
0.103180 | + | 0.994663i | \(0.467098\pi\) | |||||||
\(864\) | −26.9629 | − | 11.7049i | −0.917295 | − | 0.398209i | ||||
\(865\) | 0.841503 | 0.0286120 | ||||||||
\(866\) | −8.65708 | + | 9.86898i | −0.294179 | + | 0.335362i | ||||
\(867\) | −24.6417 | − | 13.6928i | −0.836874 | − | 0.465033i | ||||
\(868\) | −26.4359 | + | 3.47354i | −0.897292 | + | 0.117900i | ||||
\(869\) | 6.40303 | + | 23.8965i | 0.217208 | + | 0.810632i | ||||
\(870\) | 0.815485 | − | 0.291709i | 0.0276475 | − | 0.00988987i | ||||
\(871\) | −2.33528 | + | 1.34827i | −0.0791278 | + | 0.0456845i | ||||
\(872\) | −7.31491 | − | 36.8477i | −0.247714 | − | 1.24782i | ||||
\(873\) | 1.77478 | − | 3.32108i | 0.0600672 | − | 0.112402i | ||||
\(874\) | −57.8683 | − | 28.5466i | −1.95742 | − | 0.965603i | ||||
\(875\) | −1.02272 | − | 0.274036i | −0.0345742 | − | 0.00926412i | ||||
\(876\) | −51.1380 | − | 20.2206i | −1.72779 | − | 0.683192i | ||||
\(877\) | −20.3364 | + | 5.44913i | −0.686713 | + | 0.184004i | −0.585271 | − | 0.810837i | \(-0.699012\pi\) |
−0.101441 | + | 0.994842i | \(0.532345\pi\) | |||||||
\(878\) | 3.85558 | − | 19.3705i | 0.130120 | − | 0.653723i | ||||
\(879\) | −5.77502 | + | 23.0595i | −0.194787 | + | 0.777777i | ||||
\(880\) | 0.167738 | + | 0.627278i | 0.00565445 | + | 0.0211455i | ||||
\(881\) | 3.07747 | 0.103682 | 0.0518412 | − | 0.998655i | \(-0.483491\pi\) | ||||
0.0518412 | + | 0.998655i | \(0.483491\pi\) | |||||||
\(882\) | −12.9438 | + | 15.7708i | −0.435840 | + | 0.531030i | ||||
\(883\) | −2.89268 | − | 2.89268i | −0.0973465 | − | 0.0973465i | 0.656756 | − | 0.754103i | \(-0.271928\pi\) |
−0.754103 | + | 0.656756i | \(0.771928\pi\) | |||||||
\(884\) | −0.261833 | − | 0.632574i | −0.00880639 | − | 0.0212758i | ||||
\(885\) | 1.76826 | − | 0.0290134i | 0.0594395 | − | 0.000975273i | ||||
\(886\) | 14.5362 | − | 9.71010i | 0.488352 | − | 0.326217i | ||||
\(887\) | 43.0227 | + | 24.8392i | 1.44456 | + | 0.834017i | 0.998149 | − | 0.0608108i | \(-0.0193686\pi\) |
0.446411 | + | 0.894828i | \(0.352702\pi\) | |||||||
\(888\) | −27.2596 | − | 8.76878i | −0.914773 | − | 0.294261i | ||||
\(889\) | 13.0712 | − | 7.54664i | 0.438393 | − | 0.253106i | ||||
\(890\) | −0.590277 | + | 1.19658i | −0.0197861 | + | 0.0401095i | ||||
\(891\) | 13.4574 | − | 15.3507i | 0.450841 | − | 0.514268i | ||||
\(892\) | −22.9191 | + | 17.5772i | −0.767387 | + | 0.588528i | ||||
\(893\) | −9.39445 | + | 35.0606i | −0.314373 | + | 1.17326i | ||||
\(894\) | 27.8977 | + | 40.3153i | 0.933039 | + | 1.34835i | ||||
\(895\) | 0.466472 | − | 0.807953i | 0.0155924 | − | 0.0270069i | ||||
\(896\) | −16.4281 | + | 3.25261i | −0.548823 | + | 0.108662i | ||||
\(897\) | 4.30482 | + | 4.16583i | 0.143734 | + | 0.139093i | ||||
\(898\) | 14.4762 | − | 16.5027i | 0.483076 | − | 0.550702i | ||||
\(899\) | 31.4643 | + | 31.4643i | 1.04939 | + | 1.04939i | ||||
\(900\) | 10.5613 | − | 28.0467i | 0.352044 | − | 0.934889i | ||||
\(901\) | −3.36503 | + | 3.36503i | −0.112105 | + | 0.112105i | ||||
\(902\) | −7.58842 | + | 0.496406i | −0.252667 | + | 0.0165285i | ||||
\(903\) | −6.43394 | − | 1.61132i | −0.214108 | − | 0.0536213i | ||||
\(904\) | 29.4909 | − | 14.5294i | 0.980851 | − | 0.483239i | ||||
\(905\) | −1.01603 | − | 0.586603i | −0.0337738 | − | 0.0194993i | ||||
\(906\) | −20.2970 | + | 23.9188i | −0.674321 | + | 0.794648i | ||||
\(907\) | −12.2230 | − | 3.27515i | −0.405859 | − | 0.108750i | 0.0501131 | − | 0.998744i | \(-0.484042\pi\) |
−0.455973 | + | 0.889994i | \(0.650708\pi\) | |||||||
\(908\) | −3.31681 | − | 0.437521i | −0.110072 | − | 0.0145196i | ||||
\(909\) | 4.81452 | + | 15.8663i | 0.159688 | + | 0.526253i | ||||
\(910\) | 0.0570659 | − | 0.0193632i | 0.00189172 | − | 0.000641884i | ||||
\(911\) | −26.6903 | − | 46.2289i | −0.884289 | − | 1.53163i | −0.846526 | − | 0.532347i | \(-0.821310\pi\) |
−0.0377625 | − | 0.999287i | \(-0.512023\pi\) | |||||||
\(912\) | −18.8863 | − | 31.5431i | −0.625389 | − | 1.04449i | ||||
\(913\) | −6.30637 | + | 10.9230i | −0.208710 | + | 0.361497i | ||||
\(914\) | −7.45037 | + | 37.4308i | −0.246436 | + | 1.23810i | ||||
\(915\) | 0.368977 | + | 0.205032i | 0.0121980 | + | 0.00677816i | ||||
\(916\) | 37.5372 | − | 15.5373i | 1.24026 | − | 0.513366i | ||||
\(917\) | −7.36336 | + | 7.36336i | −0.243160 | + | 0.243160i | ||||
\(918\) | −4.89834 | − | 3.88756i | −0.161669 | − | 0.128309i | ||||
\(919\) | 38.5309i | 1.27102i | 0.772094 | + | 0.635509i | \(0.219210\pi\) | ||||
−0.772094 | + | 0.635509i | \(0.780790\pi\) | |||||||
\(920\) | −1.30896 | + | 1.14705i | −0.0431553 | + | 0.0378171i | ||||
\(921\) | −9.49335 | − | 33.2386i | −0.312817 | − | 1.09525i | ||||
\(922\) | 18.5434 | + | 27.7598i | 0.610695 | + | 0.914220i | ||||
\(923\) | −0.0377773 | − | 0.140987i | −0.00124345 | − | 0.00464064i | ||||
\(924\) | 1.33169 | − | 11.5545i | 0.0438093 | − | 0.380114i | ||||
\(925\) | 7.55643 | − | 28.2010i | 0.248454 | − | 0.927243i | ||||
\(926\) | −10.6383 | − | 31.3525i | −0.349597 | − | 1.03031i | ||||
\(927\) | 1.09093 | + | 33.2351i | 0.0358308 | + | 1.09159i | ||||
\(928\) | 21.0011 | + | 18.4410i | 0.689396 | + | 0.605357i | ||||
\(929\) | 5.92500 | + | 10.2624i | 0.194393 | + | 0.336699i | 0.946701 | − | 0.322113i | \(-0.104393\pi\) |
−0.752308 | + | 0.658811i | \(0.771060\pi\) | |||||||
\(930\) | −1.57354 | + | 0.128892i | −0.0515983 | + | 0.00422652i | ||||
\(931\) | −24.6492 | + | 6.60473i | −0.807844 | + | 0.216461i | ||||
\(932\) | −46.7609 | + | 6.14414i | −1.53170 | + | 0.201258i | ||||
\(933\) | 11.6107 | + | 19.3693i | 0.380117 | + | 0.634124i | ||||
\(934\) | 34.8417 | − | 2.27922i | 1.14006 | − | 0.0745782i | ||||
\(935\) | 0.138142i | 0.00451774i | ||||||||
\(936\) | 0.774077 | + | 3.32423i | 0.0253015 | + | 0.108656i | ||||
\(937\) | 0.288917i | 0.00943850i | 0.999989 | + | 0.00471925i | \(0.00150219\pi\) | ||||
−0.999989 | + | 0.00471925i | \(0.998498\pi\) | |||||||
\(938\) | 0.916056 | + | 14.0035i | 0.0299103 | + | 0.457230i | ||||
\(939\) | 13.0085 | − | 0.213441i | 0.424516 | − | 0.00696539i | ||||
\(940\) | 0.776565 | + | 0.596192i | 0.0253288 | + | 0.0194456i | ||||
\(941\) | 33.1209 | − | 8.87473i | 1.07971 | − | 0.289308i | 0.325234 | − | 0.945634i | \(-0.394557\pi\) |
0.754478 | + | 0.656326i | \(0.227890\pi\) | |||||||
\(942\) | −15.4145 | + | 10.6666i | −0.502232 | + | 0.347538i | ||||
\(943\) | −10.1917 | − | 17.6526i | −0.331889 | − | 0.574849i | ||||
\(944\) | 28.5095 | + | 49.4377i | 0.927905 | + | 1.60906i | ||||
\(945\) | 0.369605 | − | 0.407904i | 0.0120232 | − | 0.0132691i | ||||
\(946\) | −7.85851 | + | 2.66650i | −0.255502 | + | 0.0866953i | ||||
\(947\) | −5.98027 | + | 22.3187i | −0.194333 | + | 0.725259i | 0.798106 | + | 0.602517i | \(0.205835\pi\) |
−0.992439 | + | 0.122742i | \(0.960831\pi\) | |||||||
\(948\) | −37.3743 | + | 5.53596i | −1.21386 | + | 0.179800i | ||||
\(949\) | 1.65267 | + | 6.16783i | 0.0536478 | + | 0.200216i | ||||
\(950\) | 31.1699 | − | 20.8214i | 1.01129 | − | 0.675535i | ||||
\(951\) | −1.81634 | + | 1.87694i | −0.0588990 | + | 0.0608640i | ||||
\(952\) | −3.55520 | − | 0.234377i | −0.115225 | − | 0.00759620i | ||||
\(953\) | 31.0900i | 1.00710i | 0.863965 | + | 0.503552i | \(0.167974\pi\) | ||||
−0.863965 | + | 0.503552i | \(0.832026\pi\) | |||||||
\(954\) | 19.2855 | − | 13.8187i | 0.624392 | − | 0.447396i | ||||
\(955\) | −1.13217 | + | 1.13217i | −0.0366361 | + | 0.0366361i | ||||
\(956\) | −15.8299 | − | 6.56168i | −0.511977 | − | 0.212220i | ||||
\(957\) | −16.6486 | + | 9.97975i | −0.538171 | + | 0.322600i | ||||
\(958\) | −26.7058 | − | 5.31563i | −0.862825 | − | 0.171740i | ||||
\(959\) | 10.7401 | − | 18.6023i | 0.346815 | − | 0.600701i | ||||
\(960\) | −0.981011 | + | 0.144801i | −0.0316620 | + | 0.00467345i | ||||
\(961\) | −25.0573 | − | 43.4006i | −0.808302 | − | 1.40002i | ||||
\(962\) | 1.06841 | + | 3.14875i | 0.0344470 | + | 0.101520i | ||||
\(963\) | −28.5220 | − | 6.64775i | −0.919108 | − | 0.214221i | ||||
\(964\) | 11.7126 | − | 8.98266i | 0.377237 | − | 0.289312i | ||||
\(965\) | 0.992539 | + | 0.265950i | 0.0319510 | + | 0.00856124i | ||||
\(966\) | 29.3541 | − | 10.5003i | 0.944454 | − | 0.337843i | ||||
\(967\) | 24.9481 | + | 14.4038i | 0.802277 | + | 0.463195i | 0.844267 | − | 0.535923i | \(-0.180036\pi\) |
−0.0419899 | + | 0.999118i | \(0.513370\pi\) | |||||||
\(968\) | 7.31882 | + | 14.8553i | 0.235236 | + | 0.477468i | ||||
\(969\) | −2.14809 | − | 7.52099i | −0.0690066 | − | 0.241609i | ||||
\(970\) | −0.00829249 | − | 0.126765i | −0.000266256 | − | 0.00407018i | ||||
\(971\) | 11.6466 | − | 11.6466i | 0.373757 | − | 0.373757i | −0.495087 | − | 0.868844i | \(-0.664864\pi\) |
0.868844 | + | 0.495087i | \(0.164864\pi\) | |||||||
\(972\) | 20.9364 | + | 23.1013i | 0.671534 | + | 0.740974i | ||||
\(973\) | 5.52175 | + | 5.52175i | 0.177019 | + | 0.177019i | ||||
\(974\) | −16.7988 | − | 14.7359i | −0.538267 | − | 0.472168i | ||||
\(975\) | −3.34617 | + | 0.955708i | −0.107163 | + | 0.0306072i | ||||
\(976\) | −0.00690090 | + | 13.6216i | −0.000220892 | + | 0.436016i | ||||
\(977\) | −12.0661 | + | 20.8990i | −0.386028 | + | 0.668619i | −0.991911 | − | 0.126934i | \(-0.959486\pi\) |
0.605884 | + | 0.795553i | \(0.292820\pi\) | |||||||
\(978\) | 32.5630 | + | 15.4044i | 1.04125 | + | 0.492579i | ||||
\(979\) | 7.73945 | − | 28.8840i | 0.247354 | − | 0.923137i | ||||
\(980\) | −0.0900143 | + | 0.682391i | −0.00287540 | + | 0.0217982i | ||||
\(981\) | −9.04457 | + | 38.8055i | −0.288771 | + | 1.23896i | ||||
\(982\) | 14.3629 | + | 7.08527i | 0.458339 | + | 0.226100i | ||||
\(983\) | −18.5016 | + | 10.6819i | −0.590109 | + | 0.340700i | −0.765141 | − | 0.643863i | \(-0.777331\pi\) |
0.175031 | + | 0.984563i | \(0.443997\pi\) | |||||||
\(984\) | 0.573761 | − | 11.5996i | 0.0182908 | − | 0.369783i | ||||
\(985\) | 0.138081 | + | 0.0797210i | 0.00439962 | + | 0.00254012i | ||||
\(986\) | 3.30282 | + | 4.94437i | 0.105183 | + | 0.157461i | ||||
\(987\) | −9.01645 | − | 15.0415i | −0.286997 | − | 0.478778i | ||||
\(988\) | −1.63470 | + | 3.94369i | −0.0520068 | + | 0.125466i | ||||
\(989\) | −15.7286 | − | 15.7286i | −0.500139 | − | 0.500139i | ||||
\(990\) | 0.112213 | − | 0.679503i | 0.00356638 | − | 0.0215960i | ||||
\(991\) | 28.0624 | 0.891433 | 0.445717 | − | 0.895174i | \(-0.352949\pi\) | ||||
0.445717 | + | 0.895174i | \(0.352949\pi\) | |||||||
\(992\) | −28.2782 | − | 42.3794i | −0.897834 | − | 1.34555i | ||||
\(993\) | 25.4855 | + | 24.6626i | 0.808756 | + | 0.782645i | ||||
\(994\) | −0.744995 | − | 0.148287i | −0.0236298 | − | 0.00470337i | ||||
\(995\) | 0.119420 | − | 0.0319985i | 0.00378587 | − | 0.00101442i | ||||
\(996\) | −15.4691 | − | 11.4777i | −0.490159 | − | 0.363686i | ||||
\(997\) | 56.0181 | + | 15.0100i | 1.77411 | + | 0.475372i | 0.989490 | − | 0.144603i | \(-0.0461904\pi\) |
0.784622 | + | 0.619975i | \(0.212857\pi\) | |||||||
\(998\) | 2.51525 | − | 5.09880i | 0.0796190 | − | 0.161400i | ||||
\(999\) | 22.5071 | + | 20.3938i | 0.712092 | + | 0.645232i |
(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 | 144.2.x.e.13.12 | ✓ | 72 | |
3.2 | odd | 2 | 432.2.y.e.253.7 | 72 | |||
4.3 | odd | 2 | 576.2.bb.e.337.4 | 72 | |||
9.2 | odd | 6 | 432.2.y.e.397.17 | 72 | |||
9.7 | even | 3 | inner | 144.2.x.e.61.2 | yes | 72 | |
12.11 | even | 2 | 1728.2.bc.e.145.9 | 72 | |||
16.5 | even | 4 | inner | 144.2.x.e.85.2 | yes | 72 | |
16.11 | odd | 4 | 576.2.bb.e.49.7 | 72 | |||
36.7 | odd | 6 | 576.2.bb.e.529.7 | 72 | |||
36.11 | even | 6 | 1728.2.bc.e.721.10 | 72 | |||
48.5 | odd | 4 | 432.2.y.e.37.17 | 72 | |||
48.11 | even | 4 | 1728.2.bc.e.1009.10 | 72 | |||
144.11 | even | 12 | 1728.2.bc.e.1585.9 | 72 | |||
144.43 | odd | 12 | 576.2.bb.e.241.4 | 72 | |||
144.101 | odd | 12 | 432.2.y.e.181.7 | 72 | |||
144.133 | even | 12 | inner | 144.2.x.e.133.12 | yes | 72 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
144.2.x.e.13.12 | ✓ | 72 | 1.1 | even | 1 | trivial | |
144.2.x.e.61.2 | yes | 72 | 9.7 | even | 3 | inner | |
144.2.x.e.85.2 | yes | 72 | 16.5 | even | 4 | inner | |
144.2.x.e.133.12 | yes | 72 | 144.133 | even | 12 | inner | |
432.2.y.e.37.17 | 72 | 48.5 | odd | 4 | |||
432.2.y.e.181.7 | 72 | 144.101 | odd | 12 | |||
432.2.y.e.253.7 | 72 | 3.2 | odd | 2 | |||
432.2.y.e.397.17 | 72 | 9.2 | odd | 6 | |||
576.2.bb.e.49.7 | 72 | 16.11 | odd | 4 | |||
576.2.bb.e.241.4 | 72 | 144.43 | odd | 12 | |||
576.2.bb.e.337.4 | 72 | 4.3 | odd | 2 | |||
576.2.bb.e.529.7 | 72 | 36.7 | odd | 6 | |||
1728.2.bc.e.145.9 | 72 | 12.11 | even | 2 | |||
1728.2.bc.e.721.10 | 72 | 36.11 | even | 6 | |||
1728.2.bc.e.1009.10 | 72 | 48.11 | even | 4 | |||
1728.2.bc.e.1585.9 | 72 | 144.11 | even | 12 |