Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [690,2,Mod(11,690)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(690, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([11, 0, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("690.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 690.q (of order \(22\), degree \(10\), 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: | \(5.50967773947\) |
Analytic rank: | \(0\) |
Dimension: | \(160\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 191.3 | ||
Character | \(\chi\) | \(=\) | 690.191 |
Dual form | 690.2.q.b.401.3 |
$q$-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 \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).
\(n\) | \(277\) | \(461\) | \(511\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{19}{22}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.755750 | − | 0.654861i | −0.534396 | − | 0.463056i | ||||
\(3\) | −0.982602 | + | 1.42636i | −0.567306 | + | 0.823507i | ||||
\(4\) | 0.142315 | + | 0.989821i | 0.0711574 | + | 0.494911i | ||||
\(5\) | −0.415415 | − | 0.909632i | −0.185779 | − | 0.406800i | ||||
\(6\) | 1.67667 | − | 0.434500i | 0.684496 | − | 0.177384i | ||||
\(7\) | −0.819457 | − | 2.79081i | −0.309726 | − | 1.05483i | −0.956399 | − | 0.292062i | \(-0.905659\pi\) |
0.646674 | − | 0.762767i | \(-0.276160\pi\) | |||||||
\(8\) | 0.540641 | − | 0.841254i | 0.191145 | − | 0.297428i | ||||
\(9\) | −1.06898 | − | 2.80308i | −0.356328 | − | 0.934361i | ||||
\(10\) | −0.281733 | + | 0.959493i | −0.0890917 | + | 0.303418i | ||||
\(11\) | 3.30704 | + | 3.81653i | 0.997110 | + | 1.15073i | 0.988570 | + | 0.150763i | \(0.0481729\pi\) |
0.00853981 | + | 0.999964i | \(0.497282\pi\) | |||||||
\(12\) | −1.55168 | − | 0.769609i | −0.447931 | − | 0.222167i | ||||
\(13\) | −2.20642 | − | 0.647864i | −0.611951 | − | 0.179685i | −0.0389520 | − | 0.999241i | \(-0.512402\pi\) |
−0.572999 | + | 0.819556i | \(0.694220\pi\) | |||||||
\(14\) | −1.20829 | + | 2.64579i | −0.322929 | + | 0.707116i | ||||
\(15\) | 1.70565 | + | 0.301277i | 0.440396 | + | 0.0777893i | ||||
\(16\) | −0.959493 | + | 0.281733i | −0.239873 | + | 0.0704331i | ||||
\(17\) | −0.484647 | + | 3.37079i | −0.117544 | + | 0.817538i | 0.842701 | + | 0.538381i | \(0.180964\pi\) |
−0.960246 | + | 0.279157i | \(0.909945\pi\) | |||||||
\(18\) | −1.02774 | + | 2.81846i | −0.242242 | + | 0.664318i | ||||
\(19\) | −0.820688 | + | 0.117997i | −0.188279 | + | 0.0270704i | −0.235809 | − | 0.971799i | \(-0.575774\pi\) |
0.0475304 | + | 0.998870i | \(0.484865\pi\) | |||||||
\(20\) | 0.841254 | − | 0.540641i | 0.188110 | − | 0.120891i | ||||
\(21\) | 4.78590 | + | 1.57342i | 1.04437 | + | 0.343349i | ||||
\(22\) | − | 5.04999i | − | 1.07666i | ||||||
\(23\) | −4.20596 | + | 2.30432i | −0.877003 | + | 0.480484i | ||||
\(24\) | 0.668692 | + | 1.59776i | 0.136496 | + | 0.326142i | ||||
\(25\) | −0.654861 | + | 0.755750i | −0.130972 | + | 0.151150i | ||||
\(26\) | 1.24324 | + | 1.93452i | 0.243820 | + | 0.379391i | ||||
\(27\) | 5.04858 | + | 1.22956i | 0.971600 | + | 0.236629i | ||||
\(28\) | 2.64579 | − | 1.20829i | 0.500007 | − | 0.228345i | ||||
\(29\) | −4.95479 | − | 0.712391i | −0.920081 | − | 0.132288i | −0.334030 | − | 0.942562i | \(-0.608409\pi\) |
−0.586050 | + | 0.810275i | \(0.699318\pi\) | |||||||
\(30\) | −1.09175 | − | 1.34465i | −0.199325 | − | 0.245499i | ||||
\(31\) | −0.527625 | − | 0.339084i | −0.0947642 | − | 0.0609013i | 0.492400 | − | 0.870369i | \(-0.336120\pi\) |
−0.587165 | + | 0.809467i | \(0.699756\pi\) | |||||||
\(32\) | 0.909632 | + | 0.415415i | 0.160802 | + | 0.0734357i | ||||
\(33\) | −8.69323 | + | 0.966888i | −1.51330 | + | 0.168314i | ||||
\(34\) | 2.57367 | − | 2.23010i | 0.441381 | − | 0.382459i | ||||
\(35\) | −2.19820 | + | 1.90475i | −0.371563 | + | 0.321962i | ||||
\(36\) | 2.62242 | − | 1.45702i | 0.437070 | − | 0.242837i | ||||
\(37\) | −7.07324 | − | 3.23024i | −1.16283 | − | 0.531048i | −0.261938 | − | 0.965085i | \(-0.584361\pi\) |
−0.900895 | + | 0.434037i | \(0.857089\pi\) | |||||||
\(38\) | 0.697506 | + | 0.448260i | 0.113150 | + | 0.0727174i | ||||
\(39\) | 3.09212 | − | 2.51055i | 0.495135 | − | 0.402010i | ||||
\(40\) | −0.989821 | − | 0.142315i | −0.156505 | − | 0.0225020i | ||||
\(41\) | −8.45385 | + | 3.86074i | −1.32027 | + | 0.602947i | −0.945938 | − | 0.324348i | \(-0.894855\pi\) |
−0.374332 | + | 0.927295i | \(0.622128\pi\) | |||||||
\(42\) | −2.58657 | − | 4.32321i | −0.399116 | − | 0.667086i | ||||
\(43\) | −6.89642 | − | 10.7310i | −1.05169 | − | 1.63647i | −0.721296 | − | 0.692627i | \(-0.756453\pi\) |
−0.330399 | − | 0.943841i | \(-0.607183\pi\) | |||||||
\(44\) | −3.30704 | + | 3.81653i | −0.498555 | + | 0.575363i | ||||
\(45\) | −2.10570 | + | 2.13683i | −0.313899 | + | 0.318539i | ||||
\(46\) | 4.68766 | + | 1.01283i | 0.691158 | + | 0.149333i | ||||
\(47\) | − | 1.59898i | − | 0.233236i | −0.993177 | − | 0.116618i | \(-0.962795\pi\) | ||
0.993177 | − | 0.116618i | \(-0.0372052\pi\) | |||||||
\(48\) | 0.540949 | − | 1.64541i | 0.0780793 | − | 0.237494i | ||||
\(49\) | −1.22836 | + | 0.789418i | −0.175480 | + | 0.112774i | ||||
\(50\) | 0.989821 | − | 0.142315i | 0.139982 | − | 0.0201264i | ||||
\(51\) | −4.33174 | − | 4.00343i | −0.606565 | − | 0.560592i | ||||
\(52\) | 0.327263 | − | 2.27616i | 0.0453832 | − | 0.315647i | ||||
\(53\) | −2.70253 | + | 0.793536i | −0.371222 | + | 0.109001i | −0.462022 | − | 0.886869i | \(-0.652876\pi\) |
0.0908000 | + | 0.995869i | \(0.471058\pi\) | |||||||
\(54\) | −3.01027 | − | 4.23536i | −0.409646 | − | 0.576359i | ||||
\(55\) | 2.09784 | − | 4.59363i | 0.282873 | − | 0.619405i | ||||
\(56\) | −2.79081 | − | 0.819457i | −0.372938 | − | 0.109505i | ||||
\(57\) | 0.638104 | − | 1.28654i | 0.0845189 | − | 0.170406i | ||||
\(58\) | 3.27806 | + | 3.78308i | 0.430430 | + | 0.496743i | ||||
\(59\) | −0.905212 | + | 3.08287i | −0.117849 | + | 0.401355i | −0.997197 | − | 0.0748239i | \(-0.976161\pi\) |
0.879348 | + | 0.476179i | \(0.157979\pi\) | |||||||
\(60\) | −0.0554713 | + | 1.73116i | −0.00716132 | + | 0.223492i | ||||
\(61\) | −0.506874 | + | 0.788711i | −0.0648985 | + | 0.100984i | −0.872186 | − | 0.489174i | \(-0.837298\pi\) |
0.807288 | + | 0.590158i | \(0.200935\pi\) | |||||||
\(62\) | 0.176700 | + | 0.601783i | 0.0224409 | + | 0.0764266i | ||||
\(63\) | −6.94689 | + | 5.28034i | −0.875226 | + | 0.665261i | ||||
\(64\) | −0.415415 | − | 0.909632i | −0.0519269 | − | 0.113704i | ||||
\(65\) | 0.327263 | + | 2.27616i | 0.0405920 | + | 0.282323i | ||||
\(66\) | 7.20308 | + | 4.96213i | 0.886638 | + | 0.610796i | ||||
\(67\) | −5.07699 | − | 4.39924i | −0.620253 | − | 0.537452i | 0.287058 | − | 0.957913i | \(-0.407323\pi\) |
−0.907311 | + | 0.420461i | \(0.861868\pi\) | |||||||
\(68\) | −3.40546 | −0.412972 | ||||||||
\(69\) | 0.846002 | − | 8.26343i | 0.101847 | − | 0.994800i | ||||
\(70\) | 2.90863 | 0.347648 | ||||||||
\(71\) | 0.216816 | + | 0.187872i | 0.0257313 | + | 0.0222963i | 0.667631 | − | 0.744492i | \(-0.267308\pi\) |
−0.641900 | + | 0.766788i | \(0.721854\pi\) | |||||||
\(72\) | −2.93604 | − | 0.616174i | −0.346016 | − | 0.0726167i | ||||
\(73\) | 1.73188 | + | 12.0455i | 0.202701 | + | 1.40982i | 0.796224 | + | 0.605002i | \(0.206828\pi\) |
−0.593523 | + | 0.804817i | \(0.702263\pi\) | |||||||
\(74\) | 3.23024 | + | 7.07324i | 0.375508 | + | 0.822247i | ||||
\(75\) | −0.434500 | − | 1.67667i | −0.0501718 | − | 0.193605i | ||||
\(76\) | −0.233592 | − | 0.795542i | −0.0267949 | − | 0.0912549i | ||||
\(77\) | 7.94124 | − | 12.3568i | 0.904988 | − | 1.40819i | ||||
\(78\) | −3.98093 | − | 0.127560i | −0.450751 | − | 0.0144433i | ||||
\(79\) | −3.95258 | + | 13.4612i | −0.444700 | + | 1.51451i | 0.366881 | + | 0.930268i | \(0.380426\pi\) |
−0.811581 | + | 0.584240i | \(0.801393\pi\) | |||||||
\(80\) | 0.654861 | + | 0.755750i | 0.0732157 | + | 0.0844954i | ||||
\(81\) | −6.71454 | + | 5.99291i | −0.746060 | + | 0.665878i | ||||
\(82\) | 8.91724 | + | 2.61834i | 0.984745 | + | 0.289147i | ||||
\(83\) | 0.248823 | − | 0.544847i | 0.0273119 | − | 0.0598047i | −0.895484 | − | 0.445093i | \(-0.853171\pi\) |
0.922796 | + | 0.385288i | \(0.125898\pi\) | |||||||
\(84\) | −0.876304 | + | 4.96110i | −0.0956126 | + | 0.541301i | ||||
\(85\) | 3.26751 | − | 0.959428i | 0.354411 | − | 0.104065i | ||||
\(86\) | −1.81537 | + | 12.6262i | −0.195756 | + | 1.36152i | ||||
\(87\) | 5.88471 | − | 6.36729i | 0.630907 | − | 0.682646i | ||||
\(88\) | 4.99859 | − | 0.718688i | 0.532851 | − | 0.0766124i | ||||
\(89\) | 1.55964 | − | 1.00232i | 0.165322 | − | 0.106246i | −0.455364 | − | 0.890305i | \(-0.650491\pi\) |
0.620685 | + | 0.784060i | \(0.286854\pi\) | |||||||
\(90\) | 2.99071 | − | 0.235964i | 0.315248 | − | 0.0248728i | ||||
\(91\) | 6.68861i | 0.701156i | ||||||||
\(92\) | −2.87944 | − | 3.83521i | −0.300202 | − | 0.399848i | ||||
\(93\) | 1.00210 | − | 0.419396i | 0.103913 | − | 0.0434894i | ||||
\(94\) | −1.04711 | + | 1.20843i | −0.108001 | + | 0.124640i | ||||
\(95\) | 0.448260 | + | 0.697506i | 0.0459905 | + | 0.0715626i | ||||
\(96\) | −1.48634 | + | 0.889272i | −0.151699 | + | 0.0907609i | ||||
\(97\) | −17.1163 | + | 7.81673i | −1.73789 | + | 0.793669i | −0.746096 | + | 0.665838i | \(0.768074\pi\) |
−0.991796 | + | 0.127831i | \(0.959199\pi\) | |||||||
\(98\) | 1.44529 | + | 0.207801i | 0.145996 | + | 0.0209911i | ||||
\(99\) | 7.16286 | − | 13.3497i | 0.719895 | − | 1.34170i | ||||
\(100\) | −0.841254 | − | 0.540641i | −0.0841254 | − | 0.0540641i | ||||
\(101\) | 10.5432 | + | 4.81492i | 1.04909 | + | 0.479102i | 0.863933 | − | 0.503607i | \(-0.167994\pi\) |
0.185155 | + | 0.982709i | \(0.440721\pi\) | |||||||
\(102\) | 0.652020 | + | 5.86228i | 0.0645596 | + | 0.580452i | ||||
\(103\) | 9.35916 | − | 8.10976i | 0.922186 | − | 0.799078i | −0.0577627 | − | 0.998330i | \(-0.518397\pi\) |
0.979948 | + | 0.199252i | \(0.0638512\pi\) | |||||||
\(104\) | −1.73790 | + | 1.50590i | −0.170415 | + | 0.147665i | ||||
\(105\) | −0.556897 | − | 5.00703i | −0.0543476 | − | 0.488636i | ||||
\(106\) | 2.56209 | + | 1.17007i | 0.248853 | + | 0.113647i | ||||
\(107\) | 10.3027 | + | 6.62117i | 0.996004 | + | 0.640093i | 0.933735 | − | 0.357966i | \(-0.116530\pi\) |
0.0622698 | + | 0.998059i | \(0.480166\pi\) | |||||||
\(108\) | −0.498559 | + | 5.17218i | −0.0479739 | + | 0.497693i | ||||
\(109\) | −2.88292 | − | 0.414501i | −0.276133 | − | 0.0397020i | 0.00285690 | − | 0.999996i | \(-0.499091\pi\) |
−0.278990 | + | 0.960294i | \(0.590000\pi\) | |||||||
\(110\) | −4.59363 | + | 2.09784i | −0.437986 | + | 0.200021i | ||||
\(111\) | 11.5577 | − | 6.91491i | 1.09700 | − | 0.656335i | ||||
\(112\) | 1.57253 | + | 2.44690i | 0.148590 | + | 0.231210i | ||||
\(113\) | −7.14989 | + | 8.25141i | −0.672605 | + | 0.776227i | −0.984782 | − | 0.173797i | \(-0.944396\pi\) |
0.312177 | + | 0.950024i | \(0.398942\pi\) | |||||||
\(114\) | −1.32475 | + | 0.554431i | −0.124074 | + | 0.0519272i | ||||
\(115\) | 3.84330 | + | 2.86863i | 0.358390 | + | 0.267501i | ||||
\(116\) | − | 5.00574i | − | 0.464771i | ||||||
\(117\) | 0.542615 | + | 6.87734i | 0.0501648 | + | 0.635810i | ||||
\(118\) | 2.70296 | − | 1.73709i | 0.248828 | − | 0.159912i | ||||
\(119\) | 9.80441 | − | 1.40966i | 0.898769 | − | 0.129223i | ||||
\(120\) | 1.17559 | − | 1.27200i | 0.107316 | − | 0.116117i | ||||
\(121\) | −2.06390 | + | 14.3548i | −0.187628 | + | 1.30498i | ||||
\(122\) | 0.899565 | − | 0.264136i | 0.0814428 | − | 0.0239138i | ||||
\(123\) | 2.79998 | − | 15.8518i | 0.252465 | − | 1.42931i | ||||
\(124\) | 0.260544 | − | 0.570511i | 0.0233975 | − | 0.0512334i | ||||
\(125\) | 0.959493 | + | 0.281733i | 0.0858197 | + | 0.0251989i | ||||
\(126\) | 8.70800 | + | 0.558631i | 0.775771 | + | 0.0497668i | ||||
\(127\) | −8.58085 | − | 9.90283i | −0.761428 | − | 0.878734i | 0.234196 | − | 0.972189i | \(-0.424754\pi\) |
−0.995623 | + | 0.0934551i | \(0.970209\pi\) | |||||||
\(128\) | −0.281733 | + | 0.959493i | −0.0249019 | + | 0.0848080i | ||||
\(129\) | 22.0827 | + | 0.707593i | 1.94428 | + | 0.0623001i | ||||
\(130\) | 1.24324 | − | 1.93452i | 0.109039 | − | 0.169669i | ||||
\(131\) | −3.79117 | − | 12.9115i | −0.331236 | − | 1.12809i | −0.941815 | − | 0.336131i | \(-0.890882\pi\) |
0.610580 | − | 0.791955i | \(-0.290937\pi\) | |||||||
\(132\) | −2.19422 | − | 8.46714i | −0.190983 | − | 0.736970i | ||||
\(133\) | 1.00183 | + | 2.19369i | 0.0868694 | + | 0.190217i | ||||
\(134\) | 0.956045 | + | 6.64944i | 0.0825897 | + | 0.574424i | ||||
\(135\) | −0.978807 | − | 5.10313i | −0.0842423 | − | 0.439208i | ||||
\(136\) | 2.57367 | + | 2.23010i | 0.220691 | + | 0.191230i | ||||
\(137\) | 3.20692 | 0.273985 | 0.136993 | − | 0.990572i | \(-0.456256\pi\) | ||||
0.136993 | + | 0.990572i | \(0.456256\pi\) | |||||||
\(138\) | −6.05076 | + | 5.69107i | −0.515075 | + | 0.484456i | ||||
\(139\) | 5.63281 | 0.477769 | 0.238884 | − | 0.971048i | \(-0.423218\pi\) | ||||
0.238884 | + | 0.971048i | \(0.423218\pi\) | |||||||
\(140\) | −2.19820 | − | 1.90475i | −0.185782 | − | 0.160981i | ||||
\(141\) | 2.28072 | + | 1.57116i | 0.192071 | + | 0.132316i | ||||
\(142\) | −0.0408284 | − | 0.283968i | −0.00342625 | − | 0.0238301i | ||||
\(143\) | −4.82413 | − | 10.5634i | −0.403414 | − | 0.883354i | ||||
\(144\) | 1.81540 | + | 2.38837i | 0.151284 | + | 0.199031i | ||||
\(145\) | 1.41028 | + | 4.80297i | 0.117117 | + | 0.398865i | ||||
\(146\) | 6.57926 | − | 10.2375i | 0.544503 | − | 0.847263i | ||||
\(147\) | 0.0809966 | − | 2.52776i | 0.00668049 | − | 0.208486i | ||||
\(148\) | 2.19073 | − | 7.46095i | 0.180077 | − | 0.613286i | ||||
\(149\) | −12.7665 | − | 14.7333i | −1.04587 | − | 1.20700i | −0.977848 | − | 0.209317i | \(-0.932876\pi\) |
−0.0680244 | − | 0.997684i | \(-0.521670\pi\) | |||||||
\(150\) | −0.769609 | + | 1.55168i | −0.0628383 | + | 0.126694i | ||||
\(151\) | 15.7100 | + | 4.61288i | 1.27846 | + | 0.375391i | 0.849336 | − | 0.527853i | \(-0.177003\pi\) |
0.429128 | + | 0.903244i | \(0.358821\pi\) | |||||||
\(152\) | −0.344432 | + | 0.754201i | −0.0279371 | + | 0.0611738i | ||||
\(153\) | 9.96670 | − | 2.24482i | 0.805760 | − | 0.181483i | ||||
\(154\) | −14.0936 | + | 4.13825i | −1.13569 | + | 0.333470i | ||||
\(155\) | −0.0892583 | + | 0.620805i | −0.00716940 | + | 0.0498643i | ||||
\(156\) | 2.92505 | + | 2.70336i | 0.234191 | + | 0.216442i | ||||
\(157\) | −5.16592 | + | 0.742747i | −0.412285 | + | 0.0592777i | −0.345337 | − | 0.938479i | \(-0.612235\pi\) |
−0.0669484 | + | 0.997756i | \(0.521326\pi\) | |||||||
\(158\) | 11.8024 | − | 7.58494i | 0.938948 | − | 0.603425i | ||||
\(159\) | 1.52365 | − | 4.63451i | 0.120833 | − | 0.367540i | ||||
\(160\) | − | 1.00000i | − | 0.0790569i | ||||||
\(161\) | 9.87754 | + | 9.84976i | 0.778459 | + | 0.776270i | ||||
\(162\) | 8.99903 | − | 0.132045i | 0.707031 | − | 0.0103745i | ||||
\(163\) | 8.45544 | − | 9.75810i | 0.662281 | − | 0.764314i | −0.320867 | − | 0.947124i | \(-0.603974\pi\) |
0.983148 | + | 0.182811i | \(0.0585196\pi\) | |||||||
\(164\) | −5.02456 | − | 7.81836i | −0.392352 | − | 0.610511i | ||||
\(165\) | 4.49081 | + | 7.50598i | 0.349609 | + | 0.584340i | ||||
\(166\) | −0.544847 | + | 0.248823i | −0.0422883 | + | 0.0193124i | ||||
\(167\) | −15.5160 | − | 2.23087i | −1.20067 | − | 0.172630i | −0.487181 | − | 0.873301i | \(-0.661975\pi\) |
−0.713484 | + | 0.700671i | \(0.752884\pi\) | |||||||
\(168\) | 3.91110 | − | 3.17549i | 0.301748 | − | 0.244995i | ||||
\(169\) | −6.48773 | − | 4.16941i | −0.499056 | − | 0.320724i | ||||
\(170\) | −3.09771 | − | 1.41468i | −0.237584 | − | 0.108501i | ||||
\(171\) | 1.20806 | + | 2.17432i | 0.0923826 | + | 0.166274i | ||||
\(172\) | 9.64035 | − | 8.35341i | 0.735070 | − | 0.636942i | ||||
\(173\) | 9.99643 | − | 8.66196i | 0.760014 | − | 0.658556i | −0.186048 | − | 0.982541i | \(-0.559568\pi\) |
0.946062 | + | 0.323984i | \(0.105023\pi\) | |||||||
\(174\) | −8.61706 | + | 0.958415i | −0.653257 | + | 0.0726573i | ||||
\(175\) | 2.64579 | + | 1.20829i | 0.200003 | + | 0.0913382i | ||||
\(176\) | −4.24832 | − | 2.73023i | −0.320229 | − | 0.205799i | ||||
\(177\) | −3.50781 | − | 4.32039i | −0.263663 | − | 0.324740i | ||||
\(178\) | −1.83508 | − | 0.263844i | −0.137545 | − | 0.0197760i | ||||
\(179\) | −11.4024 | + | 5.20730i | −0.852255 | + | 0.389212i | −0.793140 | − | 0.609039i | \(-0.791555\pi\) |
−0.0591153 | + | 0.998251i | \(0.518828\pi\) | |||||||
\(180\) | −2.41475 | − | 1.78017i | −0.179985 | − | 0.132686i | ||||
\(181\) | −0.911784 | − | 1.41876i | −0.0677724 | − | 0.105456i | 0.805713 | − | 0.592306i | \(-0.201782\pi\) |
−0.873486 | + | 0.486850i | \(0.838146\pi\) | |||||||
\(182\) | 4.38011 | − | 5.05491i | 0.324675 | − | 0.374695i | ||||
\(183\) | −0.626927 | − | 1.49797i | −0.0463438 | − | 0.110733i | ||||
\(184\) | −0.335395 | + | 4.78409i | −0.0247256 | + | 0.352688i | ||||
\(185\) | 7.77593i | 0.571698i | ||||||||
\(186\) | −1.03198 | − | 0.339277i | −0.0756686 | − | 0.0248770i | ||||
\(187\) | −14.4675 | + | 9.29768i | −1.05797 | + | 0.679914i | ||||
\(188\) | 1.58271 | − | 0.227559i | 0.115431 | − | 0.0165964i | ||||
\(189\) | −0.705615 | − | 15.0972i | −0.0513260 | − | 1.09816i | ||||
\(190\) | 0.117997 | − | 0.820688i | 0.00856041 | − | 0.0595390i | ||||
\(191\) | 16.6794 | − | 4.89752i | 1.20688 | − | 0.354372i | 0.384400 | − | 0.923166i | \(-0.374408\pi\) |
0.822480 | + | 0.568795i | \(0.192590\pi\) | |||||||
\(192\) | 1.70565 | + | 0.301277i | 0.123094 | + | 0.0217428i | ||||
\(193\) | −7.60006 | + | 16.6418i | −0.547064 | + | 1.19790i | 0.411075 | + | 0.911601i | \(0.365153\pi\) |
−0.958139 | + | 0.286302i | \(0.907574\pi\) | |||||||
\(194\) | 18.0545 | + | 5.30127i | 1.29624 | + | 0.380609i | ||||
\(195\) | −3.56819 | − | 1.76977i | −0.255523 | − | 0.126736i | ||||
\(196\) | −0.956197 | − | 1.10351i | −0.0682998 | − | 0.0788221i | ||||
\(197\) | −7.00601 | + | 23.8603i | −0.499158 | + | 1.69997i | 0.195560 | + | 0.980692i | \(0.437348\pi\) |
−0.694717 | + | 0.719283i | \(0.744470\pi\) | |||||||
\(198\) | −14.1555 | + | 5.39836i | −1.00599 | + | 0.383645i | ||||
\(199\) | 1.32182 | − | 2.05679i | 0.0937011 | − | 0.145802i | −0.791238 | − | 0.611508i | \(-0.790563\pi\) |
0.884939 | + | 0.465706i | \(0.154200\pi\) | |||||||
\(200\) | 0.281733 | + | 0.959493i | 0.0199215 | + | 0.0678464i | ||||
\(201\) | 11.2635 | − | 2.91890i | 0.794469 | − | 0.205883i | ||||
\(202\) | −4.81492 | − | 10.5432i | −0.338777 | − | 0.741817i | ||||
\(203\) | 2.07208 | + | 14.4117i | 0.145432 | + | 1.01150i | ||||
\(204\) | 3.34621 | − | 4.85740i | 0.234282 | − | 0.340086i | ||||
\(205\) | 7.02371 | + | 6.08608i | 0.490557 | + | 0.425070i | ||||
\(206\) | −12.3839 | −0.862830 | ||||||||
\(207\) | 10.9553 | + | 9.32637i | 0.761447 | + | 0.648227i | ||||
\(208\) | 2.29957 | 0.159446 | ||||||||
\(209\) | −3.16439 | − | 2.74196i | −0.218885 | − | 0.189665i | ||||
\(210\) | −2.85803 | + | 4.14875i | −0.197223 | + | 0.286291i | ||||
\(211\) | −1.79182 | − | 12.4624i | −0.123354 | − | 0.857946i | −0.953713 | − | 0.300717i | \(-0.902774\pi\) |
0.830359 | − | 0.557228i | \(-0.188135\pi\) | |||||||
\(212\) | −1.17007 | − | 2.56209i | −0.0803607 | − | 0.175965i | ||||
\(213\) | −0.481016 | + | 0.124653i | −0.0329586 | + | 0.00854108i | ||||
\(214\) | −3.45035 | − | 11.7508i | −0.235861 | − | 0.803269i | ||||
\(215\) | −6.89642 | + | 10.7310i | −0.470332 | + | 0.731851i | ||||
\(216\) | 3.76384 | − | 3.58239i | 0.256097 | − | 0.243750i | ||||
\(217\) | −0.513954 | + | 1.75037i | −0.0348895 | + | 0.118823i | ||||
\(218\) | 1.90732 | + | 2.20117i | 0.129180 | + | 0.149082i | ||||
\(219\) | −18.8829 | − | 9.36566i | −1.27599 | − | 0.632872i | ||||
\(220\) | 4.84543 | + | 1.42275i | 0.326679 | + | 0.0959215i | ||||
\(221\) | 3.25315 | − | 7.12341i | 0.218831 | − | 0.479172i | ||||
\(222\) | −13.2630 | − | 2.34271i | −0.890154 | − | 0.157232i | ||||
\(223\) | 20.5687 | − | 6.03950i | 1.37738 | − | 0.404435i | 0.492523 | − | 0.870299i | \(-0.336075\pi\) |
0.884856 | + | 0.465864i | \(0.154257\pi\) | |||||||
\(224\) | 0.413942 | − | 2.87903i | 0.0276576 | − | 0.192363i | ||||
\(225\) | 2.81846 | + | 1.02774i | 0.187898 | + | 0.0685163i | ||||
\(226\) | 10.8070 | − | 1.55382i | 0.718874 | − | 0.103358i | ||||
\(227\) | 12.0186 | − | 7.72389i | 0.797703 | − | 0.512653i | −0.0771623 | − | 0.997019i | \(-0.524586\pi\) |
0.874866 | + | 0.484366i | \(0.160950\pi\) | |||||||
\(228\) | 1.36425 | + | 0.448516i | 0.0903499 | + | 0.0297037i | ||||
\(229\) | − | 14.9609i | − | 0.988647i | −0.869278 | − | 0.494323i | \(-0.835416\pi\) | ||
0.869278 | − | 0.494323i | \(-0.164584\pi\) | |||||||
\(230\) | −1.02602 | − | 4.68479i | −0.0676541 | − | 0.308906i | ||||
\(231\) | 9.82213 | + | 23.4689i | 0.646249 | + | 1.54414i | ||||
\(232\) | −3.27806 | + | 3.78308i | −0.215215 | + | 0.248372i | ||||
\(233\) | 0.905245 | + | 1.40859i | 0.0593046 | + | 0.0922798i | 0.869640 | − | 0.493687i | \(-0.164351\pi\) |
−0.810335 | + | 0.585967i | \(0.800715\pi\) | |||||||
\(234\) | 4.09362 | − | 5.55288i | 0.267608 | − | 0.363003i | ||||
\(235\) | −1.45449 | + | 0.664241i | −0.0948802 | + | 0.0433303i | ||||
\(236\) | −3.18032 | − | 0.457260i | −0.207021 | − | 0.0297651i | ||||
\(237\) | −15.3167 | − | 18.8648i | −0.994928 | − | 1.22540i | ||||
\(238\) | −8.33281 | − | 5.35517i | −0.540136 | − | 0.347124i | ||||
\(239\) | 4.50033 | + | 2.05523i | 0.291102 | + | 0.132942i | 0.555614 | − | 0.831441i | \(-0.312483\pi\) |
−0.264511 | + | 0.964383i | \(0.585211\pi\) | |||||||
\(240\) | −1.72144 | + | 0.191463i | −0.111118 | + | 0.0123589i | ||||
\(241\) | 19.4858 | − | 16.8845i | 1.25519 | − | 1.08763i | 0.262754 | − | 0.964863i | \(-0.415369\pi\) |
0.992436 | − | 0.122765i | \(-0.0391761\pi\) | |||||||
\(242\) | 10.9602 | − | 9.49704i | 0.704546 | − | 0.610493i | ||||
\(243\) | −1.95029 | − | 15.4660i | −0.125111 | − | 0.992143i | ||||
\(244\) | −0.852818 | − | 0.389469i | −0.0545961 | − | 0.0249332i | ||||
\(245\) | 1.22836 | + | 0.789418i | 0.0784769 | + | 0.0504341i | ||||
\(246\) | −12.4968 | + | 10.1464i | −0.796766 | + | 0.646910i | ||||
\(247\) | 1.88723 | + | 0.271343i | 0.120082 | + | 0.0172651i | ||||
\(248\) | −0.570511 | + | 0.260544i | −0.0362275 | + | 0.0165445i | ||||
\(249\) | 0.532651 | + | 0.890278i | 0.0337554 | + | 0.0564191i | ||||
\(250\) | −0.540641 | − | 0.841254i | −0.0341931 | − | 0.0532055i | ||||
\(251\) | −10.2626 | + | 11.8437i | −0.647769 | + | 0.747565i | −0.980728 | − | 0.195376i | \(-0.937407\pi\) |
0.332959 | + | 0.942941i | \(0.391953\pi\) | |||||||
\(252\) | −6.21524 | − | 6.12471i | −0.391524 | − | 0.385821i | ||||
\(253\) | −22.7038 | − | 8.43167i | −1.42737 | − | 0.530095i | ||||
\(254\) | 13.1033i | 0.822176i | ||||||||
\(255\) | −1.84218 | + | 5.60337i | −0.115362 | + | 0.350897i | ||||
\(256\) | 0.841254 | − | 0.540641i | 0.0525783 | − | 0.0337901i | ||||
\(257\) | −8.90910 | + | 1.28094i | −0.555735 | + | 0.0799026i | −0.414459 | − | 0.910068i | \(-0.636029\pi\) |
−0.141275 | + | 0.989970i | \(0.545120\pi\) | |||||||
\(258\) | −16.2256 | − | 14.9959i | −1.01016 | − | 0.933603i | ||||
\(259\) | −3.21878 | + | 22.3871i | −0.200005 | + | 1.39107i | ||||
\(260\) | −2.20642 | + | 0.647864i | −0.136836 | + | 0.0401788i | ||||
\(261\) | 3.29970 | + | 14.6502i | 0.204246 | + | 0.906825i | ||||
\(262\) | −5.59008 | + | 12.2406i | −0.345356 | + | 0.756225i | ||||
\(263\) | 12.2930 | + | 3.60956i | 0.758021 | + | 0.222575i | 0.637832 | − | 0.770176i | \(-0.279832\pi\) |
0.120190 | + | 0.992751i | \(0.461650\pi\) | |||||||
\(264\) | −3.88652 | + | 7.83595i | −0.239199 | + | 0.482269i | ||||
\(265\) | 1.84450 | + | 2.12866i | 0.113307 | + | 0.130763i | ||||
\(266\) | 0.679434 | − | 2.31394i | 0.0416588 | − | 0.141877i | ||||
\(267\) | −0.102841 | + | 3.20948i | −0.00629376 | + | 0.196417i | ||||
\(268\) | 3.63193 | − | 5.65139i | 0.221855 | − | 0.345214i | ||||
\(269\) | −4.29174 | − | 14.6163i | −0.261672 | − | 0.891172i | −0.980589 | − | 0.196076i | \(-0.937180\pi\) |
0.718917 | − | 0.695096i | \(-0.244638\pi\) | |||||||
\(270\) | −2.60211 | + | 4.49767i | −0.158359 | + | 0.273720i | ||||
\(271\) | −1.85058 | − | 4.05220i | −0.112415 | − | 0.246153i | 0.845060 | − | 0.534672i | \(-0.179565\pi\) |
−0.957474 | + | 0.288518i | \(0.906837\pi\) | |||||||
\(272\) | −0.484647 | − | 3.37079i | −0.0293860 | − | 0.204384i | ||||
\(273\) | −9.54034 | − | 6.57224i | −0.577407 | − | 0.397770i | ||||
\(274\) | −2.42363 | − | 2.10008i | −0.146417 | − | 0.126871i | ||||
\(275\) | −5.04999 | −0.304526 | ||||||||
\(276\) | 8.29972 | − | 0.338618i | 0.499584 | − | 0.0203824i | ||||
\(277\) | 18.8994 | 1.13556 | 0.567778 | − | 0.823181i | \(-0.307803\pi\) | ||||
0.567778 | + | 0.823181i | \(0.307803\pi\) | |||||||
\(278\) | −4.25699 | − | 3.68871i | −0.255318 | − | 0.221234i | ||||
\(279\) | −0.386457 | + | 1.84145i | −0.0231366 | + | 0.110245i | ||||
\(280\) | 0.413942 | + | 2.87903i | 0.0247378 | + | 0.172055i | ||||
\(281\) | 2.64520 | + | 5.79218i | 0.157799 | + | 0.345532i | 0.971974 | − | 0.235087i | \(-0.0755376\pi\) |
−0.814175 | + | 0.580620i | \(0.802810\pi\) | |||||||
\(282\) | −0.694758 | − | 2.68096i | −0.0413723 | − | 0.159649i | ||||
\(283\) | 7.92045 | + | 26.9746i | 0.470822 | + | 1.60347i | 0.762522 | + | 0.646963i | \(0.223961\pi\) |
−0.291700 | + | 0.956510i | \(0.594221\pi\) | |||||||
\(284\) | −0.155103 | + | 0.241346i | −0.00920369 | + | 0.0143212i | ||||
\(285\) | −1.43535 | − | 0.0459928i | −0.0850230 | − | 0.00272438i | ||||
\(286\) | −3.27170 | + | 11.1424i | −0.193460 | + | 0.658864i | ||||
\(287\) | 17.7022 | + | 20.4294i | 1.04493 | + | 1.20591i | ||||
\(288\) | 0.192060 | − | 2.99385i | 0.0113172 | − | 0.176414i | ||||
\(289\) | 5.18401 | + | 1.52216i | 0.304942 | + | 0.0895389i | ||||
\(290\) | 2.07946 | − | 4.55338i | 0.122110 | − | 0.267384i | ||||
\(291\) | 5.66903 | − | 32.0946i | 0.332324 | − | 1.88142i | ||||
\(292\) | −11.6764 | + | 3.42851i | −0.683311 | + | 0.200638i | ||||
\(293\) | 3.78894 | − | 26.3527i | 0.221353 | − | 1.53954i | −0.511578 | − | 0.859237i | \(-0.670939\pi\) |
0.732930 | − | 0.680304i | \(-0.238152\pi\) | |||||||
\(294\) | −1.71654 | + | 1.85731i | −0.100111 | + | 0.108321i | ||||
\(295\) | 3.18032 | − | 0.457260i | 0.185165 | − | 0.0266227i | ||||
\(296\) | −6.54153 | + | 4.20399i | −0.380219 | + | 0.244352i | ||||
\(297\) | 12.0032 | + | 23.3343i | 0.696496 | + | 1.35399i | ||||
\(298\) | 19.4950i | 1.12931i | ||||||||
\(299\) | 10.7730 | − | 2.35942i | 0.623019 | − | 0.136449i | ||||
\(300\) | 1.59776 | − | 0.668692i | 0.0922470 | − | 0.0386070i | ||||
\(301\) | −24.2970 | + | 28.0403i | −1.40046 | + | 1.61621i | ||||
\(302\) | −8.85206 | − | 13.7741i | −0.509379 | − | 0.792609i | ||||
\(303\) | −17.2276 | + | 10.3072i | −0.989698 | + | 0.592134i | ||||
\(304\) | 0.754201 | − | 0.344432i | 0.0432564 | − | 0.0197545i | ||||
\(305\) | 0.927999 | + | 0.133426i | 0.0531371 | + | 0.00763996i | ||||
\(306\) | −9.00237 | − | 4.83027i | −0.514631 | − | 0.276128i | ||||
\(307\) | 4.83850 | + | 3.10951i | 0.276148 | + | 0.177469i | 0.671383 | − | 0.741111i | \(-0.265701\pi\) |
−0.395235 | + | 0.918580i | \(0.629337\pi\) | |||||||
\(308\) | 13.3612 | + | 6.10185i | 0.761325 | + | 0.347685i | ||||
\(309\) | 2.37107 | + | 21.3182i | 0.134886 | + | 1.21275i | ||||
\(310\) | 0.473998 | − | 0.410721i | 0.0269213 | − | 0.0233274i | ||||
\(311\) | −9.48536 | + | 8.21911i | −0.537866 | + | 0.466063i | −0.880929 | − | 0.473249i | \(-0.843081\pi\) |
0.343063 | + | 0.939312i | \(0.388536\pi\) | |||||||
\(312\) | −0.440283 | − | 3.95856i | −0.0249261 | − | 0.224109i | ||||
\(313\) | 29.1653 | + | 13.3193i | 1.64852 | + | 0.752854i | 0.999965 | − | 0.00831486i | \(-0.00264673\pi\) |
0.648554 | + | 0.761169i | \(0.275374\pi\) | |||||||
\(314\) | 4.39054 | + | 2.82163i | 0.247772 | + | 0.159234i | ||||
\(315\) | 7.68901 | + | 4.12558i | 0.433227 | + | 0.232450i | ||||
\(316\) | −13.8867 | − | 1.99661i | −0.781190 | − | 0.112318i | ||||
\(317\) | −24.8940 | + | 11.3687i | −1.39819 | + | 0.638531i | −0.964874 | − | 0.262713i | \(-0.915383\pi\) |
−0.433313 | + | 0.901244i | \(0.642656\pi\) | |||||||
\(318\) | −4.18646 | + | 2.50475i | −0.234765 | + | 0.140459i | ||||
\(319\) | −13.6668 | − | 21.2660i | −0.765195 | − | 1.19067i | ||||
\(320\) | −0.654861 | + | 0.755750i | −0.0366078 | + | 0.0422477i | ||||
\(321\) | −19.5677 | + | 8.18941i | −1.09216 | + | 0.457088i | ||||
\(322\) | −1.01472 | − | 13.9124i | −0.0565484 | − | 0.775306i | ||||
\(323\) | − | 2.82356i | − | 0.157107i | ||||||
\(324\) | −6.88749 | − | 5.79332i | −0.382638 | − | 0.321851i | ||||
\(325\) | 1.93452 | − | 1.24324i | 0.107308 | − | 0.0689626i | ||||
\(326\) | −12.7804 | + | 1.83754i | −0.707841 | + | 0.101772i | ||||
\(327\) | 3.42399 | − | 3.70478i | 0.189347 | − | 0.204875i | ||||
\(328\) | −1.32263 | + | 9.19911i | −0.0730301 | + | 0.507936i | ||||
\(329\) | −4.46246 | + | 1.31030i | −0.246023 | + | 0.0722390i | ||||
\(330\) | 1.52144 | − | 8.61350i | 0.0837528 | − | 0.474157i | ||||
\(331\) | −12.0307 | + | 26.3435i | −0.661265 | + | 1.44797i | 0.220073 | + | 0.975483i | \(0.429370\pi\) |
−0.881338 | + | 0.472486i | \(0.843357\pi\) | |||||||
\(332\) | 0.574712 | + | 0.168751i | 0.0315414 | + | 0.00926140i | ||||
\(333\) | −1.49344 | + | 23.2799i | −0.0818402 | + | 1.27573i | ||||
\(334\) | 10.2653 | + | 11.8468i | 0.561693 | + | 0.648228i | ||||
\(335\) | −1.89263 | + | 6.44570i | −0.103405 | + | 0.352166i | ||||
\(336\) | −5.03532 | − | 0.161346i | −0.274699 | − | 0.00880213i | ||||
\(337\) | −0.477074 | + | 0.742341i | −0.0259879 | + | 0.0404379i | −0.854004 | − | 0.520266i | \(-0.825833\pi\) |
0.828017 | + | 0.560704i | \(0.189469\pi\) | |||||||
\(338\) | 2.17272 | + | 7.39959i | 0.118180 | + | 0.402485i | ||||
\(339\) | −4.74395 | − | 18.3061i | −0.257656 | − | 0.994253i | ||||
\(340\) | 1.41468 | + | 3.09771i | 0.0767217 | + | 0.167997i | ||||
\(341\) | −0.450753 | − | 3.13506i | −0.0244097 | − | 0.169773i | ||||
\(342\) | 0.510886 | − | 2.43435i | 0.0276256 | − | 0.131635i | ||||
\(343\) | −12.1777 | − | 10.5520i | −0.657533 | − | 0.569756i | ||||
\(344\) | −12.7560 | −0.687758 | ||||||||
\(345\) | −7.86812 | + | 2.66320i | −0.423605 | + | 0.143382i | ||||
\(346\) | −13.2272 | −0.711097 | ||||||||
\(347\) | −10.9084 | − | 9.45219i | −0.585594 | − | 0.507420i | 0.310920 | − | 0.950436i | \(-0.399363\pi\) |
−0.896514 | + | 0.443016i | \(0.853908\pi\) | |||||||
\(348\) | 7.13997 | + | 4.91865i | 0.382742 | + | 0.263667i | ||||
\(349\) | −2.43503 | − | 16.9360i | −0.130344 | − | 0.906565i | −0.945105 | − | 0.326767i | \(-0.894041\pi\) |
0.814761 | − | 0.579798i | \(-0.196868\pi\) | |||||||
\(350\) | −1.20829 | − | 2.64579i | −0.0645858 | − | 0.141423i | ||||
\(351\) | −10.3427 | − | 5.98372i | −0.552053 | − | 0.319388i | ||||
\(352\) | 1.42275 | + | 4.84543i | 0.0758326 | + | 0.258262i | ||||
\(353\) | −2.71012 | + | 4.21702i | −0.144245 | + | 0.224450i | −0.905857 | − | 0.423584i | \(-0.860772\pi\) |
0.761612 | + | 0.648033i | \(0.224408\pi\) | |||||||
\(354\) | −0.178230 | + | 5.56226i | −0.00947284 | + | 0.295631i | ||||
\(355\) | 0.0808257 | − | 0.275267i | 0.00428978 | − | 0.0146097i | ||||
\(356\) | 1.21408 | + | 1.40112i | 0.0643460 | + | 0.0742592i | ||||
\(357\) | −7.62316 | + | 15.3697i | −0.403460 | + | 0.813452i | ||||
\(358\) | 12.0274 | + | 3.53157i | 0.635669 | + | 0.186649i | ||||
\(359\) | 7.11904 | − | 15.5885i | 0.375728 | − | 0.822730i | −0.623437 | − | 0.781874i | \(-0.714264\pi\) |
0.999165 | − | 0.0408565i | \(-0.0130087\pi\) | |||||||
\(360\) | 0.659184 | + | 2.92668i | 0.0347420 | + | 0.154250i | ||||
\(361\) | −17.5708 | + | 5.15924i | −0.924777 | + | 0.271539i | ||||
\(362\) | −0.240012 | + | 1.66932i | −0.0126148 | + | 0.0877376i | ||||
\(363\) | −18.4470 | − | 17.0489i | −0.968217 | − | 0.894835i | ||||
\(364\) | −6.62053 | + | 0.951888i | −0.347010 | + | 0.0498925i | ||||
\(365\) | 10.2375 | − | 6.57926i | 0.535856 | − | 0.344374i | ||||
\(366\) | −0.507163 | + | 1.54264i | −0.0265098 | + | 0.0806352i | ||||
\(367\) | 18.8645i | 0.984719i | 0.870392 | + | 0.492360i | \(0.163866\pi\) | ||||
−0.870392 | + | 0.492360i | \(0.836134\pi\) | |||||||
\(368\) | 3.38639 | − | 3.39594i | 0.176528 | − | 0.177025i | ||||
\(369\) | 19.8590 | + | 19.5698i | 1.03382 | + | 1.01876i | ||||
\(370\) | 5.09215 | − | 5.87666i | 0.264728 | − | 0.305513i | ||||
\(371\) | 4.42922 | + | 6.89200i | 0.229954 | + | 0.357815i | ||||
\(372\) | 0.557741 | + | 0.932214i | 0.0289175 | + | 0.0483330i | ||||
\(373\) | 14.5654 | − | 6.65180i | 0.754168 | − | 0.344417i | −0.000955204 | − | 1.00000i | \(-0.500304\pi\) |
0.755124 | + | 0.655582i | \(0.227577\pi\) | |||||||
\(374\) | 17.0225 | + | 2.44746i | 0.880211 | + | 0.126555i | ||||
\(375\) | −1.34465 | + | 1.09175i | −0.0694375 | + | 0.0563776i | ||||
\(376\) | −1.34515 | − | 0.864475i | −0.0693708 | − | 0.0445819i | ||||
\(377\) | 10.4708 | + | 4.78186i | 0.539274 | + | 0.246278i | ||||
\(378\) | −9.35331 | + | 11.8718i | −0.481082 | + | 0.610620i | ||||
\(379\) | 18.7304 | − | 16.2300i | 0.962118 | − | 0.833680i | −0.0240021 | − | 0.999712i | \(-0.507641\pi\) |
0.986120 | + | 0.166032i | \(0.0530954\pi\) | |||||||
\(380\) | −0.626613 | + | 0.542963i | −0.0321445 | + | 0.0278534i | ||||
\(381\) | 22.5565 | − | 2.50881i | 1.15561 | − | 0.128530i | ||||
\(382\) | −15.8127 | − | 7.22140i | −0.809046 | − | 0.369479i | ||||
\(383\) | −6.71524 | − | 4.31562i | −0.343133 | − | 0.220518i | 0.357712 | − | 0.933832i | \(-0.383557\pi\) |
−0.700845 | + | 0.713314i | \(0.747193\pi\) | |||||||
\(384\) | −1.09175 | − | 1.34465i | −0.0557130 | − | 0.0686189i | ||||
\(385\) | −14.5391 | − | 2.09040i | −0.740979 | − | 0.106537i | ||||
\(386\) | 16.6418 | − | 7.60006i | 0.847046 | − | 0.386833i | ||||
\(387\) | −22.7078 | + | 30.8026i | −1.15430 | + | 1.56578i | ||||
\(388\) | −10.1731 | − | 15.8296i | −0.516459 | − | 0.803626i | ||||
\(389\) | −21.2603 | + | 24.5357i | −1.07794 | + | 1.24401i | −0.109708 | + | 0.993964i | \(0.534991\pi\) |
−0.968234 | + | 0.250047i | \(0.919554\pi\) | |||||||
\(390\) | 1.53770 | + | 3.67417i | 0.0778647 | + | 0.186049i | ||||
\(391\) | −5.72899 | − | 15.2942i | −0.289727 | − | 0.773461i | ||||
\(392\) | 1.46015i | 0.0737488i | ||||||||
\(393\) | 22.1416 | + | 7.27934i | 1.11690 | + | 0.367194i | ||||
\(394\) | 20.9200 | − | 13.4444i | 1.05393 | − | 0.677321i | ||||
\(395\) | 13.8867 | − | 1.99661i | 0.698717 | − | 0.100460i | ||||
\(396\) | 14.2332 | + | 5.19009i | 0.715246 | + | 0.260812i | ||||
\(397\) | 1.84971 | − | 12.8650i | 0.0928340 | − | 0.645675i | −0.889277 | − | 0.457370i | \(-0.848792\pi\) |
0.982111 | − | 0.188305i | \(-0.0602994\pi\) | |||||||
\(398\) | −2.34587 | + | 0.688810i | −0.117588 | + | 0.0345269i | ||||
\(399\) | −4.11339 | − | 0.726567i | −0.205927 | − | 0.0363739i | ||||
\(400\) | 0.415415 | − | 0.909632i | 0.0207708 | − | 0.0454816i | ||||
\(401\) | −14.8023 | − | 4.34636i | −0.739193 | − | 0.217047i | −0.109605 | − | 0.993975i | \(-0.534958\pi\) |
−0.629589 | + | 0.776928i | \(0.716777\pi\) | |||||||
\(402\) | −10.4239 | − | 5.17010i | −0.519896 | − | 0.257861i | ||||
\(403\) | 0.944482 | + | 1.08999i | 0.0470480 | + | 0.0542963i | ||||
\(404\) | −3.26546 | + | 11.1211i | −0.162463 | + | 0.553297i | ||||
\(405\) | 8.24066 | + | 3.61822i | 0.409482 | + | 0.179791i | ||||
\(406\) | 7.87165 | − | 12.2485i | 0.390664 | − | 0.607884i | ||||
\(407\) | −11.0632 | − | 37.6777i | −0.548381 | − | 1.86762i | ||||
\(408\) | −5.70981 | + | 1.47967i | −0.282678 | + | 0.0732547i | ||||
\(409\) | −4.24040 | − | 9.28518i | −0.209674 | − | 0.459122i | 0.775352 | − | 0.631530i | \(-0.217573\pi\) |
−0.985026 | + | 0.172407i | \(0.944845\pi\) | |||||||
\(410\) | −1.32263 | − | 9.19911i | −0.0653201 | − | 0.454311i | ||||
\(411\) | −3.15112 | + | 4.57421i | −0.155433 | + | 0.225629i | ||||
\(412\) | 9.35916 | + | 8.10976i | 0.461093 | + | 0.399539i | ||||
\(413\) | 9.34550 | 0.459862 | ||||||||
\(414\) | −2.17200 | − | 14.2226i | −0.106748 | − | 0.699003i | ||||
\(415\) | −0.598975 | −0.0294025 | ||||||||
\(416\) | −1.73790 | − | 1.50590i | −0.0852075 | − | 0.0738327i | ||||
\(417\) | −5.53481 | + | 8.03440i | −0.271041 | + | 0.393446i | ||||
\(418\) | 0.595884 | + | 4.14446i | 0.0291456 | + | 0.202712i | ||||
\(419\) | −4.34843 | − | 9.52173i | −0.212435 | − | 0.465167i | 0.773178 | − | 0.634190i | \(-0.218666\pi\) |
−0.985612 | + | 0.169023i | \(0.945939\pi\) | |||||||
\(420\) | 4.87681 | − | 1.26380i | 0.237964 | − | 0.0616673i | ||||
\(421\) | 2.95900 | + | 10.0774i | 0.144213 | + | 0.491143i | 0.999641 | − | 0.0267772i | \(-0.00852446\pi\) |
−0.855429 | + | 0.517921i | \(0.826706\pi\) | |||||||
\(422\) | −6.80696 | + | 10.5918i | −0.331357 | + | 0.515602i | ||||
\(423\) | −4.48208 | + | 1.70929i | −0.217926 | + | 0.0831084i | ||||
\(424\) | −0.793536 | + | 2.70253i | −0.0385375 | + | 0.131247i | ||||
\(425\) | −2.23010 | − | 2.57367i | −0.108176 | − | 0.124841i | ||||
\(426\) | 0.445158 | + | 0.220792i | 0.0215680 | + | 0.0106974i | ||||
\(427\) | 2.61651 | + | 0.768276i | 0.126622 | + | 0.0371795i | ||||
\(428\) | −5.08755 | + | 11.1402i | −0.245916 | + | 0.538481i | ||||
\(429\) | 19.8073 | + | 3.49867i | 0.956307 | + | 0.168917i | ||||
\(430\) | 12.2393 | − | 3.59378i | 0.590232 | − | 0.173308i | ||||
\(431\) | 5.07581 | − | 35.3030i | 0.244493 | − | 1.70049i | −0.384539 | − | 0.923109i | \(-0.625640\pi\) |
0.629032 | − | 0.777379i | \(-0.283451\pi\) | |||||||
\(432\) | −5.19049 | + | 0.242593i | −0.249727 | + | 0.0116718i | ||||
\(433\) | 21.8815 | − | 3.14608i | 1.05156 | − | 0.151191i | 0.405202 | − | 0.914227i | \(-0.367201\pi\) |
0.646356 | + | 0.763036i | \(0.276292\pi\) | |||||||
\(434\) | 1.53467 | − | 0.986271i | 0.0736664 | − | 0.0473425i | ||||
\(435\) | −8.23649 | − | 2.70785i | −0.394909 | − | 0.129831i | ||||
\(436\) | − | 2.91256i | − | 0.139486i | ||||||
\(437\) | 3.17988 | − | 2.38742i | 0.152114 | − | 0.114206i | ||||
\(438\) | 8.13756 | + | 19.4438i | 0.388828 | + | 0.929060i | ||||
\(439\) | 17.2050 | − | 19.8556i | 0.821148 | − | 0.947656i | −0.178191 | − | 0.983996i | \(-0.557025\pi\) |
0.999339 | + | 0.0363403i | \(0.0115700\pi\) | |||||||
\(440\) | −2.73023 | − | 4.24832i | −0.130159 | − | 0.202531i | ||||
\(441\) | 3.52590 | + | 2.59931i | 0.167900 | + | 0.123777i | ||||
\(442\) | −7.12341 | + | 3.25315i | −0.338826 | + | 0.154737i | ||||
\(443\) | −16.9990 | − | 2.44408i | −0.807645 | − | 0.116122i | −0.273890 | − | 0.961761i | \(-0.588310\pi\) |
−0.533755 | + | 0.845639i | \(0.679220\pi\) | |||||||
\(444\) | 8.48936 | + | 10.4559i | 0.402887 | + | 0.496216i | ||||
\(445\) | −1.55964 | − | 1.00232i | −0.0739340 | − | 0.0475145i | ||||
\(446\) | −19.4998 | − | 8.90525i | −0.923342 | − | 0.421676i | ||||
\(447\) | 33.5594 | − | 3.73257i | 1.58730 | − | 0.176545i | ||||
\(448\) | −2.19820 | + | 1.90475i | −0.103855 | + | 0.0899910i | ||||
\(449\) | −10.9190 | + | 9.46134i | −0.515298 | + | 0.446508i | −0.873279 | − | 0.487221i | \(-0.838011\pi\) |
0.357981 | + | 0.933729i | \(0.383465\pi\) | |||||||
\(450\) | −1.45702 | − | 2.62242i | −0.0686848 | − | 0.123622i | ||||
\(451\) | −42.6918 | − | 19.4967i | −2.01028 | − | 0.918064i | ||||
\(452\) | −9.18496 | − | 5.90281i | −0.432024 | − | 0.277645i | ||||
\(453\) | −22.0163 | + | 17.8755i | −1.03442 | + | 0.839863i | ||||
\(454\) | −14.1411 | − | 2.03319i | −0.663676 | − | 0.0954223i | ||||
\(455\) | 6.08417 | − | 2.77855i | 0.285230 | − | 0.130260i | ||||
\(456\) | −0.737319 | − | 1.23236i | −0.0345281 | − | 0.0577106i | ||||
\(457\) | −17.2324 | − | 26.8142i | −0.806098 | − | 1.25431i | −0.963747 | − | 0.266818i | \(-0.914028\pi\) |
0.157649 | − | 0.987495i | \(-0.449609\pi\) | |||||||
\(458\) | −9.79733 | + | 11.3067i | −0.457799 | + | 0.528328i | ||||
\(459\) | −6.59138 | + | 16.4218i | −0.307659 | + | 0.766505i | ||||
\(460\) | −2.29247 | + | 4.21243i | −0.106887 | + | 0.196406i | ||||
\(461\) | 18.7357i | 0.872606i | 0.899800 | + | 0.436303i | \(0.143712\pi\) | ||||
−0.899800 | + | 0.436303i | \(0.856288\pi\) | |||||||
\(462\) | 7.94577 | − | 24.1687i | 0.369671 | − | 1.12443i | ||||
\(463\) | −17.2909 | + | 11.1122i | −0.803576 | + | 0.516427i | −0.876781 | − | 0.480890i | \(-0.840314\pi\) |
0.0732047 | + | 0.997317i | \(0.476677\pi\) | |||||||
\(464\) | 4.95479 | − | 0.712391i | 0.230020 | − | 0.0330719i | ||||
\(465\) | −0.797784 | − | 0.737319i | −0.0369963 | − | 0.0341923i | ||||
\(466\) | 0.238291 | − | 1.65735i | 0.0110386 | − | 0.0767753i | ||||
\(467\) | −0.522219 | + | 0.153337i | −0.0241654 | + | 0.00709560i | −0.293793 | − | 0.955869i | \(-0.594918\pi\) |
0.269628 | + | 0.962965i | \(0.413099\pi\) | |||||||
\(468\) | −6.73011 | + | 1.51584i | −0.311100 | + | 0.0700697i | ||||
\(469\) | −8.11708 | + | 17.7739i | −0.374812 | + | 0.820723i | ||||
\(470\) | 1.53421 | + | 0.450485i | 0.0707679 | + | 0.0207793i | ||||
\(471\) | 4.01662 | − | 8.09827i | 0.185076 | − | 0.373149i | ||||
\(472\) | 2.10408 | + | 2.42824i | 0.0968481 | + | 0.111769i | ||||
\(473\) | 18.1486 | − | 61.8084i | 0.834472 | − | 2.84195i | ||||
\(474\) | −0.778237 | + | 24.2874i | −0.0357456 | + | 1.11556i | ||||
\(475\) | 0.448260 | − | 0.697506i | 0.0205676 | − | 0.0320038i | ||||
\(476\) | 2.79063 | + | 9.50400i | 0.127908 | + | 0.435615i | ||||
\(477\) | 5.11331 | + | 6.72715i | 0.234123 | + | 0.308015i | ||||
\(478\) | −2.05523 | − | 4.50033i | −0.0940041 | − | 0.205840i | ||||
\(479\) | 1.27685 | + | 8.88069i | 0.0583408 | + | 0.405769i | 0.997976 | + | 0.0635913i | \(0.0202554\pi\) |
−0.939635 | + | 0.342178i | \(0.888835\pi\) | |||||||
\(480\) | 1.42636 | + | 0.982602i | 0.0651040 | + | 0.0448495i | ||||
\(481\) | 13.5138 | + | 11.7098i | 0.616175 | + | 0.533919i | ||||
\(482\) | −25.7834 | −1.17440 | ||||||||
\(483\) | −23.7550 | + | 4.41049i | −1.08089 | + | 0.200684i | ||||
\(484\) | −14.5024 | −0.659199 | ||||||||
\(485\) | 14.2207 | + | 12.3223i | 0.645729 | + | 0.559527i | ||||
\(486\) | −8.65413 | + | 12.9656i | −0.392559 | + | 0.588130i | ||||
\(487\) | 2.40765 | + | 16.7456i | 0.109101 | + | 0.758815i | 0.968770 | + | 0.247963i | \(0.0797610\pi\) |
−0.859669 | + | 0.510852i | \(0.829330\pi\) | |||||||
\(488\) | 0.389469 | + | 0.852818i | 0.0176304 | + | 0.0386053i | ||||
\(489\) | 5.61019 | + | 21.6488i | 0.253702 | + | 0.978993i | ||||
\(490\) | −0.411373 | − | 1.40101i | −0.0185839 | − | 0.0632910i | ||||
\(491\) | 2.16943 | − | 3.37569i | 0.0979049 | − | 0.152343i | −0.788846 | − | 0.614592i | \(-0.789321\pi\) |
0.886750 | + | 0.462249i | \(0.152957\pi\) | |||||||
\(492\) | 16.0889 | + | 0.515534i | 0.725344 | + | 0.0232421i | ||||
\(493\) | 4.80265 | − | 16.3563i | 0.216300 | − | 0.736651i | ||||
\(494\) | −1.24858 | − | 1.44094i | −0.0561763 | − | 0.0648309i | ||||
\(495\) | −15.1189 | − | 0.969899i | −0.679543 | − | 0.0435937i | ||||
\(496\) | 0.601783 | + | 0.176700i | 0.0270209 | + | 0.00793404i | ||||
\(497\) | 0.346644 | − | 0.759045i | 0.0155491 | − | 0.0340478i | ||||
\(498\) | 0.180457 | − | 1.02164i | 0.00808648 | − | 0.0457808i | ||||
\(499\) | −26.9318 | + | 7.90790i | −1.20563 | + | 0.354006i | −0.822005 | − | 0.569481i | \(-0.807144\pi\) |
−0.383630 | + | 0.923487i | \(0.625326\pi\) | |||||||
\(500\) | −0.142315 | + | 0.989821i | −0.00636451 | + | 0.0442662i | ||||
\(501\) | 18.4281 | − | 19.9393i | 0.823306 | − | 0.890823i | ||||
\(502\) | 15.5119 | − | 2.23027i | 0.692330 | − | 0.0995420i | ||||
\(503\) | 0.215158 | − | 0.138274i | 0.00959344 | − | 0.00616533i | −0.535835 | − | 0.844323i | \(-0.680003\pi\) |
0.545429 | + | 0.838157i | \(0.316367\pi\) | |||||||
\(504\) | 0.686333 | + | 8.69887i | 0.0305717 | + | 0.387478i | ||||
\(505\) | − | 11.5906i | − | 0.515776i | ||||||
\(506\) | 11.6368 | + | 21.2400i | 0.517319 | + | 0.944235i | ||||
\(507\) | 12.3219 | − | 5.15694i | 0.547236 | − | 0.229028i | ||||
\(508\) | 8.58085 | − | 9.90283i | 0.380714 | − | 0.439367i | ||||
\(509\) | −14.9887 | − | 23.3228i | −0.664361 | − | 1.03377i | −0.995912 | − | 0.0903291i | \(-0.971208\pi\) |
0.331551 | − | 0.943437i | \(-0.392428\pi\) | |||||||
\(510\) | 5.06166 | − | 3.02838i | 0.224134 | − | 0.134099i | ||||
\(511\) | 32.1975 | − | 14.7041i | 1.42434 | − | 0.650472i | ||||
\(512\) | −0.989821 | − | 0.142315i | −0.0437443 | − | 0.00628949i | ||||
\(513\) | −4.28839 | − | 0.413369i | −0.189337 | − | 0.0182507i | ||||
\(514\) | 7.57189 | + | 4.86616i | 0.333982 | + | 0.214637i | ||||
\(515\) | −11.2648 | − | 5.14448i | −0.496388 | − | 0.226693i | ||||
\(516\) | 2.44231 | + | 21.9587i | 0.107517 | + | 0.966676i | ||||
\(517\) | 6.10256 | − | 5.28790i | 0.268390 | − | 0.232561i | ||||
\(518\) | 17.0930 | − | 14.8112i | 0.751025 | − | 0.650767i | ||||
\(519\) | 2.53252 | + | 22.7697i | 0.111165 | + | 0.999480i | ||||
\(520\) | 2.09176 | + | 0.955276i | 0.0917298 | + | 0.0418916i | ||||
\(521\) | −16.3116 | − | 10.4828i | −0.714624 | − | 0.459261i | 0.132139 | − | 0.991231i | \(-0.457815\pi\) |
−0.846763 | + | 0.531970i | \(0.821452\pi\) | |||||||
\(522\) | 7.10010 | − | 13.2327i | 0.310763 | − | 0.579181i | ||||
\(523\) | 33.3291 | + | 4.79201i | 1.45738 | + | 0.209540i | 0.825007 | − | 0.565123i | \(-0.191171\pi\) |
0.632374 | + | 0.774663i | \(0.282080\pi\) | |||||||
\(524\) | 12.2406 | − | 5.59008i | 0.534732 | − | 0.244204i | ||||
\(525\) | −4.32321 | + | 2.58657i | −0.188680 | + | 0.112887i | ||||
\(526\) | −6.92670 | − | 10.7782i | −0.302018 | − | 0.469950i | ||||
\(527\) | 1.39869 | − | 1.61418i | 0.0609281 | − | 0.0703147i | ||||
\(528\) | 8.06869 | − | 3.37689i | 0.351145 | − | 0.146960i | ||||
\(529\) | 12.3802 | − | 19.3838i | 0.538270 | − | 0.842773i | ||||
\(530\) | − | 2.81663i | − | 0.122346i | ||||||
\(531\) | 9.60920 | − | 0.758156i | 0.417004 | − | 0.0329012i | ||||
\(532\) | −2.02879 | + | 1.30382i | −0.0879592 | + | 0.0565280i | ||||
\(533\) | 21.1540 | − | 3.04148i | 0.916281 | − | 0.131741i | ||||
\(534\) | 2.17949 | − | 2.35822i | 0.0943156 | − | 0.102050i | ||||
\(535\) | 1.74292 | − | 12.1222i | 0.0753528 | − | 0.524090i | ||||
\(536\) | −6.44570 | + | 1.89263i | −0.278412 | + | 0.0817491i | ||||
\(537\) | 3.77656 | − | 21.3806i | 0.162971 | − | 0.922641i | ||||
\(538\) | −6.32817 | + | 13.8568i | −0.272827 | + | 0.597407i | ||||
\(539\) | −7.07506 | − | 2.07743i | −0.304745 | − | 0.0894811i | ||||
\(540\) | 4.91189 | − | 1.69510i | 0.211374 | − | 0.0729453i | ||||
\(541\) | −28.0981 | − | 32.4270i | −1.20803 | − | 1.39414i | −0.895988 | − | 0.444077i | \(-0.853532\pi\) |
−0.312045 | − | 0.950067i | \(-0.601014\pi\) | |||||||
\(542\) | −1.25505 | + | 4.27432i | −0.0539091 | + | 0.183598i | ||||
\(543\) | 2.91958 | + | 0.0935517i | 0.125291 | + | 0.00401469i | ||||
\(544\) | −1.84113 | + | 2.86485i | −0.0789378 | + | 0.122830i | ||||
\(545\) | 0.820564 | + | 2.79458i | 0.0351491 | + | 0.119707i | ||||
\(546\) | 2.90620 | + | 11.2146i | 0.124374 | + | 0.479939i | ||||
\(547\) | −5.61803 | − | 12.3018i | −0.240210 | − | 0.525985i | 0.750679 | − | 0.660667i | \(-0.229726\pi\) |
−0.990889 | + | 0.134681i | \(0.956999\pi\) | |||||||
\(548\) | 0.456392 | + | 3.17427i | 0.0194961 | + | 0.135598i | ||||
\(549\) | 2.75266 | + | 0.577689i | 0.117481 | + | 0.0246552i | ||||
\(550\) | 3.81653 | + | 3.30704i | 0.162737 | + | 0.141013i | ||||
\(551\) | 4.15039 | 0.176813 | ||||||||
\(552\) | −6.49426 | − | 5.17925i | −0.276414 | − | 0.220444i | ||||
\(553\) | 40.8068 | 1.73528 | ||||||||
\(554\) | −14.2832 | − | 12.3765i | −0.606837 | − | 0.525827i | ||||
\(555\) | −11.0912 | − | 7.64065i | −0.470797 | − | 0.324327i | ||||
\(556\) | 0.801633 | + | 5.57548i | 0.0339968 | + | 0.236453i | ||||
\(557\) | 5.09167 | + | 11.1492i | 0.215741 | + | 0.472407i | 0.986300 | − | 0.164962i | \(-0.0527502\pi\) |
−0.770559 | + | 0.637369i | \(0.780023\pi\) | |||||||
\(558\) | 1.49796 | − | 1.13860i | 0.0634137 | − | 0.0482008i | ||||
\(559\) | 8.26416 | + | 28.1451i | 0.349537 | + | 1.19041i | ||||
\(560\) | 1.57253 | − | 2.44690i | 0.0664514 | − | 0.103400i | ||||
\(561\) | 0.953969 | − | 29.7717i | 0.0402766 | − | 1.25696i | ||||
\(562\) | 1.79396 | − | 6.10967i | 0.0756737 | − | 0.257721i | ||||
\(563\) | 12.3600 | + | 14.2642i | 0.520913 | + | 0.601166i | 0.953859 | − | 0.300254i | \(-0.0970714\pi\) |
−0.432946 | + | 0.901420i | \(0.642526\pi\) | |||||||
\(564\) | −1.23059 | + | 2.48110i | −0.0518173 | + | 0.104473i | ||||
\(565\) | 10.4759 | + | 3.07601i | 0.440725 | + | 0.129409i | ||||
\(566\) | 11.6787 | − | 25.5728i | 0.490893 | − | 1.07491i | ||||
\(567\) | 22.2274 | + | 13.8281i | 0.933462 | + | 0.580726i | ||||
\(568\) | 0.275267 | − | 0.0808257i | 0.0115500 | − | 0.00339137i | ||||
\(569\) | −6.58264 | + | 45.7833i | −0.275959 | + | 1.91933i | 0.104478 | + | 0.994527i | \(0.466683\pi\) |
−0.380436 | + | 0.924807i | \(0.624226\pi\) | |||||||
\(570\) | 1.05465 | + | 0.974716i | 0.0441744 | + | 0.0408264i | ||||
\(571\) | −27.6717 | + | 3.97859i | −1.15803 | + | 0.166499i | −0.694438 | − | 0.719552i | \(-0.744347\pi\) |
−0.463587 | + | 0.886051i | \(0.653438\pi\) | |||||||
\(572\) | 9.76931 | − | 6.27835i | 0.408475 | − | 0.262511i | ||||
\(573\) | −9.40363 | + | 28.6031i | −0.392842 | + | 1.19491i | ||||
\(574\) | − | 27.0320i | − | 1.12829i | ||||||
\(575\) | 1.01283 | − | 4.68766i | 0.0422378 | − | 0.195489i | ||||
\(576\) | −2.10570 | + | 2.13683i | −0.0877375 | + | 0.0890344i | ||||
\(577\) | −14.9959 | + | 17.3062i | −0.624289 | + | 0.720468i | −0.976516 | − | 0.215447i | \(-0.930879\pi\) |
0.352226 | + | 0.935915i | \(0.385425\pi\) | |||||||
\(578\) | −2.92101 | − | 4.54518i | −0.121498 | − | 0.189054i | ||||
\(579\) | −16.2693 | − | 27.1927i | −0.676130 | − | 1.13009i | ||||
\(580\) | −4.55338 | + | 2.07946i | −0.189069 | + | 0.0863448i | ||||
\(581\) | −1.72447 | − | 0.247941i | −0.0715429 | − | 0.0102863i | ||||
\(582\) | −25.3019 | + | 20.5431i | −1.04880 | + | 0.851538i | ||||
\(583\) | −11.9659 | − | 7.69004i | −0.495578 | − | 0.318489i | ||||
\(584\) | 11.0696 | + | 5.05534i | 0.458065 | + | 0.209191i | ||||
\(585\) | 6.03043 | − | 3.35053i | 0.249328 | − | 0.138527i | ||||
\(586\) | −20.1208 | + | 17.4348i | −0.831184 | + | 0.720225i | ||||
\(587\) | 16.9777 | − | 14.7113i | 0.700746 | − | 0.607200i | −0.229860 | − | 0.973224i | \(-0.573827\pi\) |
0.930605 | + | 0.366024i | \(0.119281\pi\) | |||||||
\(588\) | 2.51356 | − | 0.279566i | 0.103657 | − | 0.0115291i | ||||
\(589\) | 0.473026 | + | 0.216024i | 0.0194907 | + | 0.00890111i | ||||
\(590\) | −2.70296 | − | 1.73709i | −0.111279 | − | 0.0715148i | ||||
\(591\) | −27.1491 | − | 33.4382i | −1.11677 | − | 1.37547i | ||||
\(592\) | 7.69678 | + | 1.10663i | 0.316336 | + | 0.0454822i | ||||
\(593\) | 39.3189 | − | 17.9563i | 1.61463 | − | 0.737378i | 0.615905 | − | 0.787821i | \(-0.288791\pi\) |
0.998727 | + | 0.0504429i | \(0.0160633\pi\) | |||||||
\(594\) | 6.20928 | − | 25.4953i | 0.254770 | − | 1.04608i | ||||
\(595\) | −5.35517 | − | 8.33281i | −0.219541 | − | 0.341612i | ||||
\(596\) | 12.7665 | − | 14.7333i | 0.522936 | − | 0.603500i | ||||
\(597\) | 1.63489 | + | 3.90638i | 0.0669116 | + | 0.159878i | ||||
\(598\) | −9.68678 | − | 5.27169i | −0.396122 | − | 0.215575i | ||||
\(599\) | − | 12.4176i | − | 0.507370i | −0.967287 | − | 0.253685i | \(-0.918357\pi\) | ||
0.967287 | − | 0.253685i | \(-0.0816427\pi\) | |||||||
\(600\) | −1.64541 | − | 0.540949i | −0.0671736 | − | 0.0220842i | ||||
\(601\) | −18.2771 | + | 11.7459i | −0.745536 | + | 0.479127i | −0.857435 | − | 0.514592i | \(-0.827943\pi\) |
0.111898 | + | 0.993720i | \(0.464307\pi\) | |||||||
\(602\) | 36.7249 | − | 5.28025i | 1.49680 | − | 0.215207i | ||||
\(603\) | −6.90420 | + | 18.9339i | −0.281161 | + | 0.771049i | ||||
\(604\) | −2.33016 | + | 16.2066i | −0.0948128 | + | 0.659438i | ||||
\(605\) | 13.9149 | − | 4.08579i | 0.565723 | − | 0.166111i | ||||
\(606\) | 19.7695 | + | 3.49199i | 0.803082 | + | 0.141852i | ||||
\(607\) | −20.1649 | + | 44.1550i | −0.818468 | + | 1.79220i | −0.252905 | + | 0.967491i | \(0.581386\pi\) |
−0.565563 | + | 0.824705i | \(0.691341\pi\) | |||||||
\(608\) | −0.795542 | − | 0.233592i | −0.0322635 | − | 0.00947341i | ||||
\(609\) | −22.5922 | − | 11.2054i | −0.915482 | − | 0.454066i | ||||
\(610\) | −0.613960 | − | 0.708547i | −0.0248585 | − | 0.0286882i | ||||
\(611\) | −1.03592 | + | 3.52803i | −0.0419089 | + | 0.142729i | ||||
\(612\) | 3.64038 | + | 9.54578i | 0.147154 | + | 0.385865i | ||||
\(613\) | 7.74437 | − | 12.0505i | 0.312792 | − | 0.486714i | −0.648890 | − | 0.760883i | \(-0.724766\pi\) |
0.961682 | + | 0.274169i | \(0.0884027\pi\) | |||||||
\(614\) | −1.62039 | − | 5.51855i | −0.0653938 | − | 0.222711i | ||||
\(615\) | −15.5824 | + | 4.03812i | −0.628345 | + | 0.162833i | ||||
\(616\) | −6.10185 | − | 13.3612i | −0.245851 | − | 0.538338i | ||||
\(617\) | 3.43825 | + | 23.9136i | 0.138419 | + | 0.962724i | 0.934101 | + | 0.357010i | \(0.116204\pi\) |
−0.795682 | + | 0.605715i | \(0.792887\pi\) | |||||||
\(618\) | 12.1685 | − | 17.6639i | 0.489489 | − | 0.710547i | ||||
\(619\) | 27.4338 | + | 23.7715i | 1.10266 | + | 0.955458i | 0.999232 | − | 0.0391796i | \(-0.0124745\pi\) |
0.103425 | + | 0.994637i | \(0.467020\pi\) | |||||||
\(620\) | −0.627189 | −0.0251885 | ||||||||
\(621\) | −24.0674 | + | 6.46207i | −0.965793 | + | 0.259314i | ||||
\(622\) | 12.5509 | 0.503247 | ||||||||
\(623\) | −4.07535 | − | 3.53131i | −0.163275 | − | 0.141479i | ||||
\(624\) | −2.25956 | + | 3.28001i | −0.0904549 | + | 0.131305i | ||||
\(625\) | −0.142315 | − | 0.989821i | −0.00569259 | − | 0.0395929i | ||||
\(626\) | −13.3193 | − | 29.1653i | −0.532348 | − | 1.16568i | ||||
\(627\) | 7.02034 | − | 1.81929i | 0.280365 | − | 0.0726554i | ||||
\(628\) | −1.47037 | − | 5.00764i | −0.0586743 | − | 0.199826i | ||||
\(629\) | 14.3165 | − | 22.2769i | 0.570836 | − | 0.888238i | ||||
\(630\) | −3.10929 | − | 8.15314i | −0.123877 | − | 0.324829i | ||||
\(631\) | 4.70949 | − | 16.0391i | 0.187482 | − | 0.638505i | −0.811082 | − | 0.584932i | \(-0.801121\pi\) |
0.998564 | − | 0.0535723i | \(-0.0170607\pi\) | |||||||
\(632\) | 9.18739 | + | 10.6028i | 0.365455 | + | 0.421757i | ||||
\(633\) | 19.5364 | + | 9.68979i | 0.776504 | + | 0.385135i | ||||
\(634\) | 26.2586 | + | 7.71021i | 1.04286 | + | 0.306212i | ||||
\(635\) | −5.44332 | + | 11.9192i | −0.216012 | + | 0.472999i | ||||
\(636\) | 4.80417 | + | 0.848584i | 0.190498 | + | 0.0336486i | ||||
\(637\) | 3.22171 | − | 0.945980i | 0.127649 | − | 0.0374811i | ||||
\(638\) | −3.59756 | + | 25.0216i | −0.142429 | + | 0.990615i | ||||
\(639\) | 0.294847 | − | 0.808584i | 0.0116640 | − | 0.0319871i | ||||
\(640\) | 0.989821 | − | 0.142315i | 0.0391261 | − | 0.00562549i | ||||
\(641\) | −5.47468 | + | 3.51836i | −0.216237 | + | 0.138967i | −0.644276 | − | 0.764793i | \(-0.722841\pi\) |
0.428039 | + | 0.903760i | \(0.359205\pi\) | |||||||
\(642\) | 20.1512 | + | 6.62495i | 0.795303 | + | 0.261466i | ||||
\(643\) | 16.1619i | 0.637364i | 0.947862 | + | 0.318682i | \(0.103240\pi\) | ||||
−0.947862 | + | 0.318682i | \(0.896760\pi\) | |||||||
\(644\) | −8.34378 | + | 11.1788i | −0.328791 | + | 0.440505i | ||||
\(645\) | −8.52985 | − | 20.3811i | −0.335862 | − | 0.802505i | ||||
\(646\) | −1.84904 | + | 2.13390i | −0.0727494 | + | 0.0839573i | ||||
\(647\) | 23.9170 | + | 37.2156i | 0.940275 | + | 1.46310i | 0.885522 | + | 0.464597i | \(0.153801\pi\) |
0.0547526 | + | 0.998500i | \(0.482563\pi\) | |||||||
\(648\) | 1.41140 | + | 8.88864i | 0.0554449 | + | 0.349179i | ||||
\(649\) | −14.7594 | + | 6.74040i | −0.579358 | + | 0.264584i | ||||
\(650\) | −2.27616 | − | 0.327263i | −0.0892785 | − | 0.0128363i | ||||
\(651\) | −1.99163 | − | 2.45300i | −0.0780583 | − | 0.0961405i | ||||
\(652\) | 10.8621 | + | 6.98066i | 0.425393 | + | 0.273384i | ||||
\(653\) | −20.2212 | − | 9.23471i | −0.791316 | − | 0.361382i | −0.0215989 | − | 0.999767i | \(-0.506876\pi\) |
−0.769718 | + | 0.638385i | \(0.779603\pi\) | |||||||
\(654\) | −5.01379 | + | 0.557649i | −0.196055 | + | 0.0218058i | ||||
\(655\) | −10.1698 | + | 8.81221i | −0.397368 | + | 0.344321i | ||||
\(656\) | 7.02371 | − | 6.08608i | 0.274230 | − | 0.237622i | ||||
\(657\) | 31.9132 | − | 17.7311i | 1.24505 | − | 0.691755i | ||||
\(658\) | 4.23057 | + | 1.93203i | 0.164925 | + | 0.0753186i | ||||
\(659\) | 12.8865 | + | 8.28163i | 0.501986 | + | 0.322607i | 0.767010 | − | 0.641635i | \(-0.221744\pi\) |
−0.265024 | + | 0.964242i | \(0.585380\pi\) | |||||||
\(660\) | −6.79047 | + | 5.51331i | −0.264319 | + | 0.214605i | ||||
\(661\) | −15.0779 | − | 2.16788i | −0.586463 | − | 0.0843207i | −0.157305 | − | 0.987550i | \(-0.550281\pi\) |
−0.429158 | + | 0.903229i | \(0.641190\pi\) | |||||||
\(662\) | 26.3435 | − | 12.0307i | 1.02387 | − | 0.467585i | ||||
\(663\) | 6.96396 | + | 11.6396i | 0.270458 | + | 0.452046i | ||||
\(664\) | −0.323830 | − | 0.503890i | −0.0125671 | − | 0.0195547i | ||||
\(665\) | 1.57928 | − | 1.82259i | 0.0612419 | − | 0.0706769i | ||||
\(666\) | 16.3738 | − | 16.6158i | 0.634471 | − | 0.643849i | ||||
\(667\) | 22.4812 | − | 8.42114i | 0.870476 | − | 0.326068i | ||||
\(668\) | − | 15.6756i | − | 0.606506i | ||||||
\(669\) | −11.5963 | + | 35.2727i | −0.448340 | + | 1.36372i | ||||
\(670\) | 5.65139 | − | 3.63193i | 0.218332 | − | 0.140314i | ||||
\(671\) | −4.68639 | + | 0.673801i | −0.180916 | + | 0.0260118i | ||||
\(672\) | 3.69978 | + | 3.41937i | 0.142722 | + | 0.131905i | ||||
\(673\) | 4.68728 | − | 32.6007i | 0.180681 | − | 1.25667i | −0.674476 | − | 0.738297i | \(-0.735630\pi\) |
0.855157 | − | 0.518369i | \(-0.173460\pi\) | |||||||
\(674\) | 0.846678 | − | 0.248607i | 0.0326128 | − | 0.00957599i | ||||
\(675\) | −4.23536 | + | 3.01027i | −0.163019 | + | 0.115865i | ||||
\(676\) | 3.20367 | − | 7.01506i | 0.123218 | − | 0.269810i | ||||
\(677\) | −20.4813 | − | 6.01384i | −0.787159 | − | 0.231131i | −0.136640 | − | 0.990621i | \(-0.543630\pi\) |
−0.650519 | + | 0.759490i | \(0.725449\pi\) | |||||||
\(678\) | −8.40273 | + | 16.9415i | −0.322705 | + | 0.650634i | ||||
\(679\) | 35.8411 | + | 41.3628i | 1.37545 | + | 1.58736i | ||||
\(680\) | 0.959428 | − | 3.26751i | 0.0367924 | − | 0.125303i | ||||
\(681\) | −0.792494 | + | 24.7323i | −0.0303684 | + | 0.947745i | ||||
\(682\) | −1.71237 | + | 2.66450i | −0.0655700 | + | 0.102029i | ||||
\(683\) | −5.03679 | − | 17.1537i | −0.192728 | − | 0.656370i | −0.997985 | − | 0.0634449i | \(-0.979791\pi\) |
0.805258 | − | 0.592925i | \(-0.202027\pi\) | |||||||
\(684\) | −1.98026 | + | 1.50520i | −0.0757172 | + | 0.0575528i | ||||
\(685\) | −1.33220 | − | 2.91711i | −0.0509008 | − | 0.111457i | ||||
\(686\) | 2.29317 | + | 15.9494i | 0.0875538 | + | 0.608950i | ||||
\(687\) | 21.3396 | + | 14.7007i | 0.814158 | + | 0.560865i | ||||
\(688\) | 9.64035 | + | 8.35341i | 0.367535 | + | 0.318471i | ||||
\(689\) | 6.47703 | 0.246755 | ||||||||
\(690\) | 7.69036 | + | 3.13981i | 0.292767 | + | 0.119531i | ||||
\(691\) | −13.3942 | −0.509541 | −0.254770 | − | 0.967002i | \(-0.582000\pi\) | ||||
−0.254770 | + | 0.967002i | \(0.582000\pi\) | |||||||
\(692\) | 9.99643 | + | 8.66196i | 0.380007 | + | 0.329278i | ||||
\(693\) | −43.1262 | − | 9.05071i | −1.63823 | − | 0.343808i | ||||
\(694\) | 2.05416 | + | 14.2870i | 0.0779747 | + | 0.542326i | ||||
\(695\) | −2.33995 | − | 5.12379i | −0.0887595 | − | 0.194356i | ||||
\(696\) | −2.17500 | − | 8.39295i | −0.0824430 | − | 0.318134i | ||||
\(697\) | −8.91664 | − | 30.3673i | −0.337742 | − | 1.15024i | ||||
\(698\) | −9.25046 | + | 14.3940i | −0.350135 | + | 0.544821i | ||||
\(699\) | −2.89865 | − | 0.0928808i | −0.109637 | − | 0.00351307i | ||||
\(700\) | −0.819457 | + | 2.79081i | −0.0309726 | + | 0.105483i | ||||
\(701\) | 12.5528 | + | 14.4867i | 0.474114 | + | 0.547157i | 0.941551 | − | 0.336869i | \(-0.109368\pi\) |
−0.467437 | + | 0.884026i | \(0.654823\pi\) | |||||||
\(702\) | 3.89799 | + | 11.2952i | 0.147120 | + | 0.426311i | ||||
\(703\) | 6.18608 | + | 1.81640i | 0.233312 | + | 0.0685067i | ||||
\(704\) | 2.09784 | − | 4.59363i | 0.0790654 | − | 0.173129i | ||||
\(705\) | 0.481736 | − | 2.72730i | 0.0181432 | − | 0.102716i | ||||
\(706\) | 4.80973 | − | 1.41227i | 0.181017 | − | 0.0531513i | ||||
\(707\) | 4.79784 | − | 33.3697i | 0.180442 | − | 1.25500i | ||||
\(708\) | 3.77720 | − | 4.08696i | 0.141956 | − | 0.153597i | ||||
\(709\) | −8.46439 | + | 1.21699i | −0.317887 | + | 0.0457052i | −0.299411 | − | 0.954124i | \(-0.596790\pi\) |
−0.0184753 | + | 0.999829i | \(0.505881\pi\) | |||||||
\(710\) | −0.241346 | + | 0.155103i | −0.00905754 | + | 0.00582093i | ||||
\(711\) | 41.9582 | − | 3.31046i | 1.57356 | − | 0.124152i | ||||
\(712\) | − | 1.85395i | − | 0.0694796i | ||||||
\(713\) | 3.00053 | + | 0.210356i | 0.112371 | + | 0.00787788i | ||||
\(714\) | 15.8262 | − | 6.62355i | 0.592281 | − | 0.247880i | ||||
\(715\) | −7.60477 | + | 8.77637i | −0.284402 | + | 0.328218i | ||||
\(716\) | −6.77703 | − | 10.5453i | −0.253269 | − | 0.394095i | ||||
\(717\) | −7.35353 | + | 4.39960i | −0.274623 | + | 0.164306i | ||||
\(718\) | −15.5885 | + | 7.11904i | −0.581758 | + | 0.265680i | ||||
\(719\) | 3.33514 | + | 0.479520i | 0.124380 | + | 0.0178831i | 0.204223 | − | 0.978924i | \(-0.434533\pi\) |
−0.0798439 | + | 0.996807i | \(0.525442\pi\) | |||||||
\(720\) | 1.41839 | − | 2.64351i | 0.0528604 | − | 0.0985179i | ||||
\(721\) | −30.3023 | − | 19.4741i | −1.12852 | − | 0.725253i | ||||
\(722\) | 16.6577 | + | 7.60731i | 0.619935 | + | 0.283115i | ||||
\(723\) | 4.93657 | + | 44.3844i | 0.183593 | + | 1.65068i | ||||
\(724\) | 1.27456 | − | 1.10441i | 0.0473687 | − | 0.0410452i | ||||
\(725\) | 3.78308 | − | 3.27806i | 0.140500 | − | 0.121744i | ||||
\(726\) | 2.77668 | + | 24.9649i | 0.103052 | + | 0.926535i | ||||
\(727\) | 14.7572 | + | 6.73940i | 0.547315 | + | 0.249950i | 0.669828 | − | 0.742517i | \(-0.266368\pi\) |
−0.122513 | + | 0.992467i | \(0.539095\pi\) | |||||||
\(728\) | 5.62681 | + | 3.61613i | 0.208544 | + | 0.134023i | ||||
\(729\) | 23.9764 | + | 12.4151i | 0.888013 | + | 0.459818i | ||||
\(730\) | −12.0455 | − | 1.73188i | −0.445824 | − | 0.0640998i | ||||
\(731\) | 39.5145 | − | 18.0457i | 1.46150 | − | 0.667443i | ||||
\(732\) | 1.39350 | − | 0.833730i | 0.0515054 | − | 0.0308155i | ||||
\(733\) | 12.5784 | + | 19.5723i | 0.464592 | + | 0.722920i | 0.991937 | − | 0.126732i | \(-0.0404487\pi\) |
−0.527345 | + | 0.849651i | \(0.676812\pi\) | |||||||
\(734\) | 12.3536 | − | 14.2568i | 0.455981 | − | 0.526230i | ||||
\(735\) | −2.33298 | + | 0.976393i | −0.0860532 | + | 0.0360148i | ||||
\(736\) | −4.78313 | + | 0.348866i | −0.176308 | + | 0.0128594i | ||||
\(737\) | − | 33.9249i | − | 1.24964i | ||||||
\(738\) | −2.19298 | − | 27.7947i | −0.0807246 | − | 1.02314i | ||||
\(739\) | −13.0422 | + | 8.38168i | −0.479763 | + | 0.308325i | −0.758077 | − | 0.652165i | \(-0.773861\pi\) |
0.278314 | + | 0.960490i | \(0.410225\pi\) | |||||||
\(740\) | −7.69678 | + | 1.10663i | −0.282939 | + | 0.0406805i | ||||
\(741\) | −2.24143 | + | 2.42524i | −0.0823409 | + | 0.0890934i | ||||
\(742\) | 1.16592 | − | 8.10915i | 0.0428023 | − | 0.297696i | ||||
\(743\) | −10.6278 | + | 3.12061i | −0.389897 | + | 0.114484i | −0.470805 | − | 0.882238i | \(-0.656036\pi\) |
0.0809076 | + | 0.996722i | \(0.474218\pi\) | |||||||
\(744\) | 0.188957 | − | 1.06976i | 0.00692752 | − | 0.0392194i | ||||
\(745\) | −8.09851 | + | 17.7333i | −0.296706 | + | 0.649696i | ||||
\(746\) | −15.3638 | − | 4.51122i | −0.562509 | − | 0.165168i | ||||
\(747\) | −1.79324 | − | 0.115039i | −0.0656112 | − | 0.00420906i | ||||
\(748\) | −11.2620 | − | 12.9970i | −0.411779 | − | 0.475218i | ||||
\(749\) | 10.0358 | − | 34.1788i | 0.366700 | − | 1.24887i | ||||
\(750\) | 1.73116 | + | 0.0554713i | 0.0632131 | + | 0.00202553i | ||||
\(751\) | 22.4095 | − | 34.8699i | 0.817734 | − | 1.27242i | −0.141537 | − | 0.989933i | \(-0.545204\pi\) |
0.959271 | − | 0.282487i | \(-0.0911593\pi\) | |||||||
\(752\) | 0.450485 | + | 1.53421i | 0.0164275 | + | 0.0559470i | ||||
\(753\) | −6.80923 | − | 26.2757i | −0.248142 | − | 0.957540i | ||||
\(754\) | −4.78186 | − | 10.4708i | −0.174145 | − | 0.381324i | ||||
\(755\) | −2.33016 | − | 16.2066i | −0.0848032 | − | 0.589819i | ||||
\(756\) | 14.8431 | − | 2.84699i | 0.539840 | − | 0.103544i | ||||
\(757\) | 9.01821 | + | 7.81432i | 0.327772 | + | 0.284016i | 0.803164 | − | 0.595758i | \(-0.203148\pi\) |
−0.475392 | + | 0.879774i | \(0.657694\pi\) | |||||||
\(758\) | −24.7839 | −0.900193 | ||||||||
\(759\) | 34.3354 | − | 24.0987i | 1.24629 | − | 0.874727i | ||||
\(760\) | 0.829127 | 0.0300756 | ||||||||
\(761\) | 23.1990 | + | 20.1020i | 0.840962 | + | 0.728698i | 0.964625 | − | 0.263626i | \(-0.0849185\pi\) |
−0.123662 | + | 0.992324i | \(0.539464\pi\) | |||||||
\(762\) | −18.6900 | − | 12.8754i | −0.677068 | − | 0.466425i | ||||
\(763\) | 1.20563 | + | 8.38535i | 0.0436468 | + | 0.303570i | ||||
\(764\) | 7.22140 | + | 15.8127i | 0.261261 | + | 0.572082i | ||||
\(765\) | −6.18228 | − | 8.13349i | −0.223521 | − | 0.294067i | ||||
\(766\) | 2.24891 | + | 7.65908i | 0.0812564 | + | 0.276734i | ||||
\(767\) | 3.99456 | − | 6.21565i | 0.144235 | − | 0.224434i | ||||
\(768\) | −0.0554713 | + | 1.73116i | −0.00200165 | + | 0.0624679i | ||||
\(769\) | −1.71133 | + | 5.82825i | −0.0617121 | + | 0.210172i | −0.984577 | − | 0.174952i | \(-0.944023\pi\) |
0.922865 | + | 0.385124i | \(0.125841\pi\) | |||||||
\(770\) | 9.61897 | + | 11.1009i | 0.346644 | + | 0.400048i | ||||
\(771\) | 6.92704 | − | 13.9662i | 0.249471 | − | 0.502981i | ||||
\(772\) | −17.5540 | − | 5.15433i | −0.631783 | − | 0.185508i | ||||
\(773\) | −15.8915 | + | 34.7975i | −0.571577 | + | 1.25158i | 0.374376 | + | 0.927277i | \(0.377857\pi\) |
−0.945953 | + | 0.324303i | \(0.894870\pi\) | |||||||
\(774\) | 37.3328 | − | 8.40856i | 1.34190 | − | 0.302239i | ||||
\(775\) | 0.601783 | − | 0.176700i | 0.0216167 | − | 0.00634723i | ||||
\(776\) | −2.67789 | + | 18.6252i | −0.0961307 | + | 0.668604i | ||||
\(777\) | −28.7692 | − | 26.5888i | −1.03209 | − | 0.953867i | ||||
\(778\) | 32.1350 | − | 4.62031i | 1.15209 | − | 0.165646i | ||||
\(779\) | 6.48242 | − | 4.16600i | 0.232257 | − | 0.149262i | ||||
\(780\) | 1.24395 | − | 3.78373i | 0.0445406 | − | 0.135479i | ||||
\(781\) | 1.44878i | 0.0518415i | ||||||||
\(782\) | −5.68590 | + | 15.3103i | −0.203327 | + | 0.547495i | ||||
\(783\) | −24.1387 | − | 9.68878i | −0.862647 | − | 0.346249i | ||||
\(784\) | 0.956197 | − | 1.10351i | 0.0341499 | − | 0.0394111i | ||||
\(785\) | 2.82163 | + | 4.39054i | 0.100708 | + | 0.156705i | ||||
\(786\) | −11.9666 | − | 20.0011i | −0.426834 | − | 0.713414i | ||||
\(787\) | −8.45767 | + | 3.86249i | −0.301483 | + | 0.137683i | −0.560413 | − | 0.828213i | \(-0.689358\pi\) |
0.258929 | + | 0.965896i | \(0.416630\pi\) | |||||||
\(788\) | −24.6145 | − | 3.53903i | −0.876854 | − | 0.126073i | ||||
\(789\) | −17.2277 | + | 13.9875i | −0.613322 | + | 0.497968i | ||||
\(790\) | −11.8024 | − | 7.58494i | −0.419910 | − | 0.269860i | ||||
\(791\) | 28.8872 | + | 13.1923i | 1.02711 | + | 0.469065i | ||||
\(792\) | −7.35796 | − | 13.2432i | −0.261454 | − | 0.470576i | ||||
\(793\) | 1.62935 | − | 1.41184i | 0.0578600 | − | 0.0501360i | ||||
\(794\) | −9.82269 | + | 8.51141i | −0.348594 | + | 0.302058i | ||||
\(795\) | −4.84864 | + | 0.539281i | −0.171964 | + | 0.0191263i | ||||
\(796\) | 2.22397 | + | 1.01565i | 0.0788264 | + | 0.0359988i | ||||
\(797\) | −15.1712 | − | 9.74997i | −0.537393 | − | 0.345362i | 0.243625 | − | 0.969869i | \(-0.421663\pi\) |
−0.781019 | + | 0.624508i | \(0.785300\pi\) | |||||||
\(798\) | 2.63289 | + | 3.24280i | 0.0932033 | + | 0.114794i | ||||
\(799\) | 5.38984 | + | 0.774942i | 0.190679 | + | 0.0274155i | ||||
\(800\) | −0.909632 | + | 0.415415i | −0.0321603 | + | 0.0146871i | ||||
\(801\) | −4.47682 | − | 3.30034i | −0.158181 | − | 0.116612i | ||||
\(802\) | 8.34060 | + | 12.9782i | 0.294517 | + | 0.458277i | ||||
\(803\) | −40.2446 | + | 46.4447i | −1.42020 | + | 1.63900i | ||||
\(804\) | 4.49215 | + | 10.7335i | 0.158426 | + | 0.378541i | ||||
\(805\) | 4.85638 | − | 13.0767i | 0.171165 | − | 0.460892i | ||||
\(806\) | − | 1.44226i | − | 0.0508016i | ||||||
\(807\) | 25.0651 | + | 8.24048i | 0.882335 | + | 0.290079i | ||||
\(808\) | 9.75065 | − | 6.26637i | 0.343027 | − | 0.220450i | ||||
\(809\) | 20.1044 | − | 2.89058i | 0.706834 | − | 0.101627i | 0.220483 | − | 0.975391i | \(-0.429237\pi\) |
0.486351 | + | 0.873763i | \(0.338328\pi\) | |||||||
\(810\) | −3.85845 | − | 8.13095i | −0.135572 | − | 0.285693i | ||||
\(811\) | −4.39202 | + | 30.5471i | −0.154225 | + | 1.07266i | 0.754813 | + | 0.655940i | \(0.227728\pi\) |
−0.909037 | + | 0.416715i | \(0.863181\pi\) | |||||||
\(812\) | −13.9701 | + | 4.10199i | −0.490254 | + | 0.143951i | ||||
\(813\) | 7.59826 | + | 1.34212i | 0.266483 | + | 0.0470701i | ||||
\(814\) | −16.3127 | + | 35.7198i | −0.571759 | + | 1.25198i | ||||
\(815\) | −12.3888 | − | 3.63768i | −0.433961 | − | 0.127422i | ||||
\(816\) | 5.28417 | + | 2.62087i | 0.184983 | + | 0.0917489i | ||||
\(817\) | 6.92604 | + | 7.99308i | 0.242312 | + | 0.279642i | ||||
\(818\) | −2.87582 | + | 9.79414i | −0.100551 | + | 0.342444i | ||||
\(819\) | 18.7487 | − | 7.15002i | 0.655133 | − | 0.249842i | ||||
\(820\) | −5.02456 | + | 7.81836i | −0.175465 | + | 0.273029i | ||||
\(821\) | −7.60315 | − | 25.8940i | −0.265352 | − | 0.903706i | −0.979113 | − | 0.203316i | \(-0.934828\pi\) |
0.713761 | − | 0.700389i | \(-0.246990\pi\) | |||||||
\(822\) | 5.37693 | − | 1.39341i | 0.187542 | − | 0.0486006i | ||||
\(823\) | −18.8561 | − | 41.2891i | −0.657283 | − | 1.43925i | −0.885033 | − | 0.465529i | \(-0.845864\pi\) |
0.227750 | − | 0.973720i | \(-0.426863\pi\) | |||||||
\(824\) | −1.76242 | − | 12.2579i | −0.0613968 | − | 0.427024i | ||||
\(825\) | 4.96213 | − | 7.20308i | 0.172759 | − | 0.250779i | ||||
\(826\) | −7.06286 | − | 6.12000i | −0.245748 | − | 0.212942i | ||||
\(827\) | −7.45127 | −0.259106 | −0.129553 | − | 0.991572i | \(-0.541354\pi\) | ||||
−0.129553 | + | 0.991572i | \(0.541354\pi\) | |||||||
\(828\) | −7.67233 | + | 12.1711i | −0.266632 | + | 0.422974i | ||||
\(829\) | 5.79019 | 0.201101 | 0.100551 | − | 0.994932i | \(-0.467940\pi\) | ||||
0.100551 | + | 0.994932i | \(0.467940\pi\) | |||||||
\(830\) | 0.452675 | + | 0.392245i | 0.0157126 | + | 0.0136150i | ||||
\(831\) | −18.5706 | + | 26.9573i | −0.644208 | + | 0.935139i | ||||
\(832\) | 0.327263 | + | 2.27616i | 0.0113458 | + | 0.0789118i | ||||
\(833\) | −2.06565 | − | 4.52313i | −0.0715704 | − | 0.156717i | ||||
\(834\) | 9.44434 | − | 2.44746i | 0.327031 | − | 0.0847486i | ||||
\(835\) | 4.41632 | + | 15.0406i | 0.152833 | + | 0.520502i | ||||
\(836\) | 2.26371 | − | 3.52240i | 0.0782920 | − | 0.121825i | ||||
\(837\) | −2.24683 | − | 2.36064i | −0.0776619 | − | 0.0815957i | ||||
\(838\) | −2.94908 | + | 10.0437i | −0.101874 | + | 0.346952i | ||||
\(839\) | −21.2413 | − | 24.5138i | −0.733331 | − | 0.846309i | 0.259512 | − | 0.965740i | \(-0.416438\pi\) |
−0.992842 | + | 0.119431i | \(0.961893\pi\) | |||||||
\(840\) | −4.51326 | − | 2.23851i | −0.155722 | − | 0.0772360i | ||||
\(841\) | −3.78289 | − | 1.11076i | −0.130445 | − | 0.0383020i | ||||
\(842\) | 4.36305 | − | 9.55374i | 0.150360 | − | 0.329244i | ||||
\(843\) | −10.8609 | − | 1.91841i | −0.374069 | − | 0.0660736i | ||||
\(844\) | 12.0805 | − | 3.54716i | 0.415829 | − | 0.122098i | ||||
\(845\) | −1.09753 | + | 7.63348i | −0.0377562 | + | 0.262600i | ||||
\(846\) | 4.50667 | + | 1.64334i | 0.154943 | + | 0.0564993i | ||||
\(847\) | 41.7528 | − | 6.00314i | 1.43464 | − | 0.206270i | ||||
\(848\) | 2.36950 | − | 1.52278i | 0.0813689 | − | 0.0522926i | ||||
\(849\) | −46.2580 | − | 15.2079i | −1.58757 | − | 0.521934i | ||||
\(850\) | 3.40546i | 0.116806i | ||||||||
\(851\) | 37.1933 | − | 2.71276i | 1.27497 | − | 0.0929922i | ||||
\(852\) | −0.191840 | − | 0.458379i | −0.00657232 | − | 0.0157038i | ||||
\(853\) | −16.8812 | + | 19.4819i | −0.578001 | + | 0.667049i | −0.967174 | − | 0.254116i | \(-0.918215\pi\) |
0.389173 | + | 0.921165i | \(0.372761\pi\) | |||||||
\(854\) | −1.47431 | − | 2.29407i | −0.0504498 | − | 0.0785015i | ||||
\(855\) | 1.47598 | − | 2.00213i | 0.0504776 | − | 0.0684715i | ||||
\(856\) | 11.1402 | − | 5.08755i | 0.380763 | − | 0.173889i | ||||
\(857\) | −16.1574 | − | 2.32308i | −0.551926 | − | 0.0793550i | −0.139291 | − | 0.990251i | \(-0.544482\pi\) |
−0.412635 | + | 0.910897i | \(0.635391\pi\) | |||||||
\(858\) | −12.6782 | − | 15.6152i | −0.432828 | − | 0.533093i | ||||
\(859\) | −23.4056 | − | 15.0419i | −0.798590 | − | 0.513223i | 0.0765651 | − | 0.997065i | \(-0.475605\pi\) |
−0.875156 | + | 0.483842i | \(0.839241\pi\) | |||||||
\(860\) | −11.6033 | − | 5.29904i | −0.395669 | − | 0.180696i | ||||
\(861\) | −46.5338 | + | 5.17563i | −1.58587 | + | 0.176385i | ||||
\(862\) | −26.9546 | + | 23.3563i | −0.918078 | + | 0.795519i | ||||
\(863\) | −34.5532 | + | 29.9405i | −1.17620 | + | 1.01919i | −0.176815 | + | 0.984244i | \(0.556579\pi\) |
−0.999389 | + | 0.0349424i | \(0.988875\pi\) | |||||||
\(864\) | 4.08157 | + | 3.21571i | 0.138858 | + | 0.109401i | ||||
\(865\) | −12.0319 | − | 5.49477i | −0.409095 | − | 0.186828i | ||||
\(866\) | −18.5972 | − | 11.9517i | −0.631958 | − | 0.406135i | ||||
\(867\) | −7.26496 | + | 5.89856i | −0.246731 | + | 0.200326i | ||||
\(868\) | −1.80569 | − | 0.259620i | −0.0612893 | − | 0.00881207i | ||||
\(869\) | −64.4465 | + | 29.4317i | −2.18620 | + | 0.998403i | ||||
\(870\) | 4.45146 | + | 7.44021i | 0.150919 | + | 0.252247i | ||||
\(871\) | 8.35187 | + | 12.9958i | 0.282992 | + | 0.440345i | ||||
\(872\) | −1.90732 | + | 2.20117i | −0.0645901 | + | 0.0745409i | ||||
\(873\) | 40.2080 | + | 39.6223i | 1.36083 | + | 1.34101i | ||||
\(874\) | −3.96662 | − | 0.278085i | −0.134173 | − | 0.00940636i | ||||
\(875\) | − | 2.90863i | − | 0.0983298i | ||||||
\(876\) | 6.58301 | − | 20.0236i | 0.222419 | − | 0.676535i | ||||
\(877\) | 0.249324 | − | 0.160231i | 0.00841906 | − | 0.00541060i | −0.536425 | − | 0.843948i | \(-0.680225\pi\) |
0.544844 | + | 0.838538i | \(0.316589\pi\) | |||||||
\(878\) | −26.0053 | + | 3.73900i | −0.877636 | + | 0.126185i | ||||
\(879\) | 33.8653 | + | 31.2986i | 1.14225 | + | 1.05568i | ||||
\(880\) | −0.718688 | + | 4.99859i | −0.0242270 | + | 0.168502i | ||||
\(881\) | 28.3440 | − | 8.32255i | 0.954933 | − | 0.280394i | 0.233094 | − | 0.972454i | \(-0.425115\pi\) |
0.721840 | + | 0.692060i | \(0.243297\pi\) | |||||||
\(882\) | −0.962509 | − | 4.27340i | −0.0324094 | − | 0.143893i | ||||
\(883\) | −5.65795 | + | 12.3892i | −0.190405 | + | 0.416929i | −0.980625 | − | 0.195894i | \(-0.937239\pi\) |
0.790220 | + | 0.612824i | \(0.209966\pi\) | |||||||
\(884\) | 7.51387 | + | 2.20627i | 0.252719 | + | 0.0742050i | ||||
\(885\) | −2.47277 | + | 4.98557i | −0.0831212 | + | 0.167588i | ||||
\(886\) | 11.2464 | + | 12.9791i | 0.377831 | + | 0.436040i | ||||
\(887\) | −15.0909 | + | 51.3950i | −0.506704 | + | 1.72568i | 0.166335 | + | 0.986069i | \(0.446807\pi\) |
−0.673039 | + | 0.739607i | \(0.735011\pi\) | |||||||
\(888\) | 0.431341 | − | 13.4614i | 0.0144749 | − | 0.451735i | ||||
\(889\) | −20.6053 | + | 32.0625i | −0.691080 | + | 1.07534i | ||||
\(890\) | 0.522317 | + | 1.77885i | 0.0175081 | + | 0.0596272i | ||||
\(891\) | −45.0773 | − | 5.80746i | −1.51015 | − | 0.194557i | ||||
\(892\) | 8.90525 | + | 19.4998i | 0.298170 | + | 0.652901i | ||||
\(893\) | 0.188675 | + | 1.31227i | 0.00631378 | + | 0.0439133i | ||||
\(894\) | −27.8068 | − | 19.1558i | −0.929998 | − | 0.640666i | ||||
\(895\) | 9.47346 | + | 8.20880i | 0.316663 | + | 0.274390i | ||||
\(896\) | 2.90863 | 0.0971706 | ||||||||
\(897\) | −7.22021 | + | 17.6845i | −0.241076 | + | 0.590469i | ||||
\(898\) | 14.4479 | 0.482131 | ||||||||
\(899\) | 2.37271 | + | 2.05596i | 0.0791342 | + | 0.0685702i | ||||
\(900\) | −0.616174 | + | 2.93604i | −0.0205391 | + | 0.0978680i | ||||
\(901\) | −1.36507 | − | 9.49427i | −0.0454771 | − | 0.316300i | ||||
\(902\) | 19.4967 | + | 42.6918i | 0.649169 | + | 1.42148i | ||||
\(903\) | −16.1211 | − | 62.2086i | −0.536476 | − | 2.07017i | ||||
\(904\) | 3.07601 | + | 10.4759i | 0.102306 | + | 0.348424i | ||||
\(905\) | −0.911784 | + | 1.41876i | −0.0303087 | + | 0.0471613i | ||||
\(906\) | 28.3448 | + | 0.908247i | 0.941692 | + | 0.0301745i | ||||
\(907\) | −10.8438 | + | 36.9304i | −0.360061 | + | 1.22625i | 0.558008 | + | 0.829835i | \(0.311566\pi\) |
−0.918069 | + | 0.396420i | \(0.870253\pi\) | |||||||
\(908\) | 9.35570 | + | 10.7971i | 0.310480 | + | 0.358313i | ||||
\(909\) | 2.22609 | − | 34.7005i | 0.0738348 | − | 1.15094i | ||||
\(910\) | −6.41767 | − | 1.88440i | −0.212744 | − | 0.0624672i | ||||
\(911\) | −21.0876 | + | 46.1754i | −0.698664 | + | 1.52986i | 0.142920 | + | 0.989734i | \(0.454351\pi\) |
−0.841584 | + | 0.540126i | \(0.818377\pi\) | |||||||
\(912\) | −0.249797 | + | 1.41420i | −0.00827160 | + | 0.0468288i | ||||
\(913\) | 2.90229 | − | 0.852189i | 0.0960518 | − | 0.0282033i | ||||
\(914\) | −4.53615 | + | 31.5496i | −0.150042 | + | 1.04357i | ||||
\(915\) | −1.10217 | + | 1.19255i | −0.0364365 | + | 0.0394246i | ||||
\(916\) | 14.8087 | − | 2.12916i | 0.489292 | − | 0.0703495i | ||||
\(917\) | −32.9270 | + | 21.1609i | −1.08734 | + | 0.698794i | ||||
\(918\) | 15.7354 | − | 8.09435i | 0.519347 | − | 0.267153i | ||||
\(919\) | − | 47.7070i | − | 1.57371i | −0.617140 | − | 0.786854i | \(-0.711709\pi\) | ||
0.617140 | − | 0.786854i | \(-0.288291\pi\) | |||||||
\(920\) | 4.49109 | − | 1.68230i | 0.148067 | − | 0.0554637i | ||||
\(921\) | −9.18959 | + | 3.84601i | −0.302807 | + | 0.126730i | ||||
\(922\) | 12.2692 | − | 14.1595i | 0.404066 | − | 0.466317i | ||||
\(923\) | −0.356671 | − | 0.554991i | −0.0117400 | − | 0.0182678i | ||||
\(924\) | −21.8322 | + | 13.0621i | −0.718225 | + | 0.429712i | ||||
\(925\) | 7.07324 | − | 3.23024i | 0.232567 | − | 0.106210i | ||||
\(926\) | 20.3445 | + | 2.92510i | 0.668563 | + | 0.0961248i | ||||
\(927\) | −32.7371 | − | 17.5653i | −1.07523 | − | 0.576920i | ||||
\(928\) | −4.21109 | − | 2.70631i | −0.138236 | − | 0.0888388i | ||||
\(929\) | −7.08313 | − | 3.23476i | −0.232390 | − | 0.106129i | 0.295817 | − | 0.955245i | \(-0.404408\pi\) |
−0.528207 | + | 0.849116i | \(0.677135\pi\) | |||||||
\(930\) | 0.120084 | + | 1.07967i | 0.00393770 | + | 0.0354036i | ||||
\(931\) | 0.914950 | − | 0.792809i | 0.0299863 | − | 0.0259833i | ||||
\(932\) | −1.26542 | + | 1.09649i | −0.0414503 | + | 0.0359169i | ||||
\(933\) | −2.40304 | − | 21.6056i | −0.0786721 | − | 0.707337i | ||||
\(934\) | 0.495081 | + | 0.226096i | 0.0161996 | + | 0.00739809i | ||||
\(935\) | 14.4675 | + | 9.29768i | 0.473137 | + | 0.304067i | ||||
\(936\) | 6.07894 | + | 3.26169i | 0.198696 | + | 0.106612i | ||||
\(937\) | 12.8002 | + | 1.84039i | 0.418164 | + | 0.0601229i | 0.348186 | − | 0.937426i | \(-0.386798\pi\) |
0.0699783 | + | 0.997549i | \(0.477707\pi\) | |||||||
\(938\) | 17.7739 | − | 8.11708i | 0.580339 | − | 0.265032i | ||||
\(939\) | −47.6560 | + | 28.5125i | −1.55520 | + | 0.930470i | ||||
\(940\) | −0.864475 | − | 1.34515i | −0.0281961 | − | 0.0438739i | ||||
\(941\) | 32.6922 | − | 37.7288i | 1.06573 | − | 1.22992i | 0.0935733 | − | 0.995612i | \(-0.470171\pi\) |
0.972162 | − | 0.234311i | \(-0.0752835\pi\) | |||||||
\(942\) | −8.33880 | + | 3.48993i | −0.271693 | + | 0.113708i | ||||
\(943\) | 26.6602 | − | 35.7185i | 0.868174 | − | 1.16316i | ||||
\(944\) | − | 3.21302i | − | 0.104575i | ||||||
\(945\) | −13.4398 | + | 6.91346i | −0.437197 | + | 0.224895i | ||||
\(946\) | −54.1916 | + | 34.8269i | −1.76192 | + | 1.13232i | ||||
\(947\) | −30.4098 | + | 4.37228i | −0.988187 | + | 0.142080i | −0.617410 | − | 0.786642i | \(-0.711818\pi\) |
−0.370778 | + | 0.928722i | \(0.620909\pi\) | |||||||
\(948\) | 16.4930 | − | 17.8456i | 0.535668 | − | 0.579597i | ||||
\(949\) | 3.98258 | − | 27.6995i | 0.129280 | − | 0.899163i | ||||
\(950\) | −0.795542 | + | 0.233592i | −0.0258108 | + | 0.00757873i | ||||
\(951\) | 8.24508 | − | 46.6787i | 0.267365 | − | 1.51366i | ||||
\(952\) | 4.11478 | − | 9.01011i | 0.133361 | − | 0.292019i | ||||
\(953\) | −40.1749 | − | 11.7964i | −1.30139 | − | 0.382123i | −0.443648 | − | 0.896201i | \(-0.646316\pi\) |
−0.857743 | + | 0.514078i | \(0.828134\pi\) | |||||||
\(954\) | 0.540961 | − | 8.43255i | 0.0175142 | − | 0.273014i | ||||
\(955\) | −11.3838 | − | 13.1376i | −0.368372 | − | 0.425124i | ||||
\(956\) | −1.39385 | + | 4.74701i | −0.0450803 | + | 0.153529i | ||||
\(957\) | 43.7619 | + | 1.40225i | 1.41462 | + | 0.0453285i | ||||
\(958\) | 4.85064 | − | 7.54774i | 0.156717 | − | 0.243856i | ||||
\(959\) | −2.62793 | − | 8.94991i | −0.0848603 | − | 0.289008i | ||||
\(960\) | −0.434500 | − | 1.67667i | −0.0140234 | − | 0.0541142i | ||||
\(961\) | −12.7145 | − | 27.8408i | −0.410144 | − | 0.898089i | ||||
\(962\) | −2.54477 | − | 17.6993i | −0.0820468 | − | 0.570648i | ||||
\(963\) | 7.54622 | − | 35.9574i | 0.243173 | − | 1.15871i | ||||
\(964\) | 19.4858 | + | 16.8845i | 0.627595 | + | 0.543814i | ||||
\(965\) | 18.2951 | 0.588940 | ||||||||
\(966\) | 20.8411 | + | 12.2230i | 0.670550 | + | 0.393267i | ||||
\(967\) | 28.8900 | 0.929038 | 0.464519 | − | 0.885563i | \(-0.346227\pi\) | ||||
0.464519 | + | 0.885563i | \(0.346227\pi\) | |||||||
\(968\) | 10.9602 | + | 9.49704i | 0.352273 | + | 0.305246i | ||||
\(969\) | 4.02740 | + | 2.77443i | 0.129379 | + | 0.0891277i | ||||
\(970\) | −2.67789 | − | 18.6252i | −0.0859820 | − | 0.598018i | ||||
\(971\) | −16.4114 | − | 35.9360i | −0.526667 | − | 1.15324i | −0.966853 | − | 0.255334i | \(-0.917815\pi\) |
0.440186 | − | 0.897907i | \(-0.354913\pi\) | |||||||
\(972\) | 15.0310 | − | 4.13148i | 0.482119 | − | 0.132517i | ||||
\(973\) | −4.61585 | − | 15.7201i | −0.147977 | − | 0.503964i | ||||
\(974\) | 9.14644 | − | 14.2321i | 0.293071 | − | 0.456027i | ||||
\(975\) | −0.127560 | + | 3.98093i | −0.00408519 | + | 0.127492i | ||||
\(976\) | 0.264136 | − | 0.899565i | 0.00845479 | − | 0.0287944i | ||||
\(977\) | −11.1790 | − | 12.9013i | −0.357648 | − | 0.412748i | 0.548202 | − | 0.836346i | \(-0.315312\pi\) |
−0.905850 | + | 0.423598i | \(0.860767\pi\) | |||||||
\(978\) | 9.93706 | − | 20.0350i | 0.317752 | − | 0.640648i | ||||
\(979\) | 8.98317 | + | 2.63770i | 0.287103 | + | 0.0843012i | ||||
\(980\) | −0.606569 | + | 1.32820i | −0.0193761 | + | 0.0424278i | ||||
\(981\) | 1.91991 | + | 8.52415i | 0.0612981 | + | 0.272155i | ||||
\(982\) | −3.85015 | + | 1.13051i | −0.122863 | + | 0.0360759i | ||||
\(983\) | −8.07737 | + | 56.1794i | −0.257628 | + | 1.79184i | 0.291984 | + | 0.956423i | \(0.405685\pi\) |
−0.549612 | + | 0.835420i | \(0.685225\pi\) | |||||||
\(984\) | −11.8216 | − | 10.9256i | −0.376858 | − | 0.348296i | ||||
\(985\) | 24.6145 | − | 3.53903i | 0.784283 | − | 0.112763i | ||||
\(986\) | −14.3407 | + | 9.21621i | −0.456701 | + | 0.293504i | ||||
\(987\) | 2.51588 | − | 7.65256i | 0.0800812 | − | 0.243584i | ||||
\(988\) | 1.90664i | 0.0606582i | ||||||||
\(989\) | 53.7339 | + | 29.2428i | 1.70864 | + | 0.929866i | ||||
\(990\) | 10.7909 | + | 10.6338i | 0.342959 | + | 0.337963i | ||||
\(991\) | −7.62142 | + | 8.79559i | −0.242102 | + | 0.279401i | −0.863777 | − | 0.503875i | \(-0.831907\pi\) |
0.621674 | + | 0.783276i | \(0.286453\pi\) | |||||||
\(992\) | −0.339084 | − | 0.527625i | −0.0107659 | − | 0.0167521i | ||||
\(993\) | −25.7538 | − | 43.0452i | −0.817273 | − | 1.36600i | ||||
\(994\) | −0.759045 | + | 0.346644i | −0.0240754 | + | 0.0109949i | ||||
\(995\) | −2.42002 | − | 0.347946i | −0.0767198 | − | 0.0110306i | ||||
\(996\) | −0.805412 | + | 0.653930i | −0.0255205 | + | 0.0207206i | ||||
\(997\) | 11.7901 | + | 7.57707i | 0.373398 | + | 0.239968i | 0.713858 | − | 0.700291i | \(-0.246946\pi\) |
−0.340460 | + | 0.940259i | \(0.610583\pi\) | |||||||
\(998\) | 25.5323 | + | 11.6602i | 0.808211 | + | 0.369098i | ||||
\(999\) | −31.7380 | − | 25.0051i | −1.00415 | − | 0.791127i |
(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 | 690.2.q.b.191.3 | yes | 160 | |
3.2 | odd | 2 | 690.2.q.a.191.9 | ✓ | 160 | ||
23.10 | odd | 22 | 690.2.q.a.401.9 | yes | 160 | ||
69.56 | even | 22 | inner | 690.2.q.b.401.3 | yes | 160 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
690.2.q.a.191.9 | ✓ | 160 | 3.2 | odd | 2 | ||
690.2.q.a.401.9 | yes | 160 | 23.10 | odd | 22 | ||
690.2.q.b.191.3 | yes | 160 | 1.1 | even | 1 | trivial | |
690.2.q.b.401.3 | yes | 160 | 69.56 | even | 22 | inner |