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 | 85.11 | ||
Character | \(\chi\) | \(=\) | 144.85 |
Dual form | 144.2.x.e.61.11 |
$q$-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 \(\left(\mathbb{Z}/144\mathbb{Z}\right)^\times\).
\(n\) | \(37\) | \(65\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(e\left(\frac{1}{3}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.268956 | + | 1.38840i | 0.190180 | + | 0.981749i | ||||
\(3\) | −0.222657 | − | 1.71768i | −0.128551 | − | 0.991703i | ||||
\(4\) | −1.85533 | + | 0.746838i | −0.927663 | + | 0.373419i | ||||
\(5\) | 2.97932 | − | 0.798307i | 1.33239 | − | 0.357014i | 0.478786 | − | 0.877932i | \(-0.341077\pi\) |
0.853607 | + | 0.520918i | \(0.174410\pi\) | |||||||
\(6\) | 2.32495 | − | 0.771117i | 0.949156 | − | 0.314807i | ||||
\(7\) | 1.78208 | − | 1.02889i | 0.673564 | − | 0.388882i | −0.123862 | − | 0.992299i | \(-0.539528\pi\) |
0.797426 | + | 0.603417i | \(0.206195\pi\) | |||||||
\(8\) | −1.53591 | − | 2.37507i | −0.543027 | − | 0.839715i | ||||
\(9\) | −2.90085 | + | 0.764906i | −0.966949 | + | 0.254969i | ||||
\(10\) | 1.90968 | + | 3.92179i | 0.603893 | + | 1.24018i | ||||
\(11\) | 0.119598 | − | 0.446347i | 0.0360602 | − | 0.134579i | −0.945549 | − | 0.325480i | \(-0.894474\pi\) |
0.981609 | + | 0.190901i | \(0.0611409\pi\) | |||||||
\(12\) | 1.69593 | + | 3.02057i | 0.489573 | + | 0.871963i | ||||
\(13\) | 1.52075 | + | 5.67550i | 0.421779 | + | 1.57410i | 0.770857 | + | 0.637008i | \(0.219828\pi\) |
−0.349078 | + | 0.937094i | \(0.613505\pi\) | |||||||
\(14\) | 1.90781 | + | 2.19752i | 0.509883 | + | 0.587313i | ||||
\(15\) | −2.03460 | − | 4.93977i | −0.525332 | − | 1.27544i | ||||
\(16\) | 2.88447 | − | 2.77126i | 0.721117 | − | 0.692814i | ||||
\(17\) | 0.0443921 | 0.0107667 | 0.00538333 | − | 0.999986i | \(-0.498286\pi\) | ||||
0.00538333 | + | 0.999986i | \(0.498286\pi\) | |||||||
\(18\) | −1.84220 | − | 3.82182i | −0.434210 | − | 0.900812i | ||||
\(19\) | −1.10726 | + | 1.10726i | −0.254023 | + | 0.254023i | −0.822618 | − | 0.568595i | \(-0.807487\pi\) |
0.568595 | + | 0.822618i | \(0.307487\pi\) | |||||||
\(20\) | −4.93140 | + | 3.70619i | −1.10270 | + | 0.828729i | ||||
\(21\) | −2.16409 | − | 2.83196i | −0.472243 | − | 0.617984i | ||||
\(22\) | 0.651876 | + | 0.0460030i | 0.138980 | + | 0.00980788i | ||||
\(23\) | −7.89263 | − | 4.55681i | −1.64573 | − | 0.950161i | −0.978743 | − | 0.205089i | \(-0.934252\pi\) |
−0.666984 | − | 0.745072i | \(-0.732415\pi\) | |||||||
\(24\) | −3.73763 | + | 3.16703i | −0.762941 | + | 0.646468i | ||||
\(25\) | 3.90893 | − | 2.25682i | 0.781786 | − | 0.451364i | ||||
\(26\) | −7.47087 | + | 3.63787i | −1.46516 | + | 0.713445i | ||||
\(27\) | 1.95976 | + | 4.81242i | 0.377155 | + | 0.926150i | ||||
\(28\) | −2.53793 | + | 3.23984i | −0.479624 | + | 0.612273i | ||||
\(29\) | −6.95662 | − | 1.86402i | −1.29181 | − | 0.346140i | −0.453464 | − | 0.891275i | \(-0.649812\pi\) |
−0.838349 | + | 0.545134i | \(0.816479\pi\) | |||||||
\(30\) | 6.31117 | − | 4.15343i | 1.15226 | − | 0.758308i | ||||
\(31\) | 0.542236 | − | 0.939180i | 0.0973884 | − | 0.168682i | −0.813214 | − | 0.581964i | \(-0.802284\pi\) |
0.910603 | + | 0.413282i | \(0.135618\pi\) | |||||||
\(32\) | 4.62341 | + | 3.25946i | 0.817312 | + | 0.576196i | ||||
\(33\) | −0.793310 | − | 0.106049i | −0.138098 | − | 0.0184608i | ||||
\(34\) | 0.0119395 | + | 0.0616341i | 0.00204761 | + | 0.0105702i | ||||
\(35\) | 4.48803 | − | 4.48803i | 0.758615 | − | 0.758615i | ||||
\(36\) | 4.81076 | − | 3.58561i | 0.801793 | − | 0.597602i | ||||
\(37\) | −0.769054 | − | 0.769054i | −0.126432 | − | 0.126432i | 0.641060 | − | 0.767491i | \(-0.278495\pi\) |
−0.767491 | + | 0.641060i | \(0.778495\pi\) | |||||||
\(38\) | −1.83513 | − | 1.23952i | −0.297697 | − | 0.201077i | ||||
\(39\) | 9.41009 | − | 3.87585i | 1.50682 | − | 0.620632i | ||||
\(40\) | −6.47201 | − | 5.84998i | −1.02332 | − | 0.924962i | ||||
\(41\) | 5.77193 | + | 3.33242i | 0.901423 | + | 0.520437i | 0.877662 | − | 0.479281i | \(-0.159102\pi\) |
0.0237617 | + | 0.999718i | \(0.492436\pi\) | |||||||
\(42\) | 3.34986 | − | 3.76630i | 0.516894 | − | 0.581153i | ||||
\(43\) | −2.96351 | + | 11.0600i | −0.451932 | + | 1.68663i | 0.245023 | + | 0.969517i | \(0.421204\pi\) |
−0.696955 | + | 0.717115i | \(0.745462\pi\) | |||||||
\(44\) | 0.111455 | + | 0.917439i | 0.0168025 | + | 0.138309i | ||||
\(45\) | −8.03193 | + | 4.59467i | −1.19733 | + | 0.684932i | ||||
\(46\) | 4.20392 | − | 12.1837i | 0.619835 | − | 1.79639i | ||||
\(47\) | −1.22453 | − | 2.12095i | −0.178617 | − | 0.309373i | 0.762790 | − | 0.646646i | \(-0.223829\pi\) |
−0.941407 | + | 0.337273i | \(0.890496\pi\) | |||||||
\(48\) | −5.40237 | − | 4.33755i | −0.779766 | − | 0.626072i | ||||
\(49\) | −1.38279 | + | 2.39506i | −0.197541 | + | 0.342151i | ||||
\(50\) | 4.18471 | + | 4.82019i | 0.591807 | + | 0.681677i | ||||
\(51\) | −0.00988420 | − | 0.0762514i | −0.00138406 | − | 0.0106773i | ||||
\(52\) | −7.06016 | − | 9.39416i | −0.979068 | − | 1.30274i | ||||
\(53\) | 2.44801 | + | 2.44801i | 0.336260 | + | 0.336260i | 0.854958 | − | 0.518698i | \(-0.173583\pi\) |
−0.518698 | + | 0.854958i | \(0.673583\pi\) | |||||||
\(54\) | −6.15449 | + | 4.01526i | −0.837519 | + | 0.546408i | ||||
\(55\) | − | 1.42529i | − | 0.192186i | ||||||
\(56\) | −5.18080 | − | 2.65230i | −0.692314 | − | 0.354428i | ||||
\(57\) | 2.14846 | + | 1.65538i | 0.284570 | + | 0.219260i | ||||
\(58\) | 0.716989 | − | 10.1599i | 0.0941453 | − | 1.33407i | ||||
\(59\) | 3.59122 | − | 0.962265i | 0.467537 | − | 0.125276i | −0.0173563 | − | 0.999849i | \(-0.505525\pi\) |
0.484894 | + | 0.874573i | \(0.338858\pi\) | |||||||
\(60\) | 7.46406 | + | 7.64537i | 0.963605 | + | 0.987012i | ||||
\(61\) | −1.18758 | − | 0.318210i | −0.152054 | − | 0.0407426i | 0.181989 | − | 0.983301i | \(-0.441746\pi\) |
−0.334043 | + | 0.942558i | \(0.608413\pi\) | |||||||
\(62\) | 1.44980 | + | 0.500244i | 0.184124 | + | 0.0635310i | ||||
\(63\) | −4.38255 | + | 4.34777i | −0.552149 | + | 0.547767i | ||||
\(64\) | −3.28195 | + | 7.29581i | −0.410243 | + | 0.911976i | ||||
\(65\) | 9.06158 | + | 15.6951i | 1.12395 | + | 1.94674i | ||||
\(66\) | −0.0661261 | − | 1.12996i | −0.00813956 | − | 0.139088i | ||||
\(67\) | 1.48102 | + | 5.52723i | 0.180935 | + | 0.675258i | 0.995464 | + | 0.0951361i | \(0.0303286\pi\) |
−0.814529 | + | 0.580122i | \(0.803005\pi\) | |||||||
\(68\) | −0.0823618 | + | 0.0331537i | −0.00998783 | + | 0.00402048i | ||||
\(69\) | −6.06980 | + | 14.5716i | −0.730718 | + | 1.75422i | ||||
\(70\) | 7.43827 | + | 5.02411i | 0.889044 | + | 0.600496i | ||||
\(71\) | − | 6.88571i | − | 0.817184i | −0.912717 | − | 0.408592i | \(-0.866020\pi\) | ||
0.912717 | − | 0.408592i | \(-0.133980\pi\) | |||||||
\(72\) | 6.27216 | + | 5.71490i | 0.739181 | + | 0.673507i | ||||
\(73\) | − | 13.1963i | − | 1.54451i | −0.635312 | − | 0.772255i | \(-0.719129\pi\) | ||
0.635312 | − | 0.772255i | \(-0.280871\pi\) | |||||||
\(74\) | 0.860915 | − | 1.27460i | 0.100079 | − | 0.148169i | ||||
\(75\) | −4.74685 | − | 6.21180i | −0.548119 | − | 0.717276i | ||||
\(76\) | 1.22738 | − | 2.88127i | 0.140791 | − | 0.330505i | ||||
\(77\) | −0.246106 | − | 0.918480i | −0.0280464 | − | 0.104670i | ||||
\(78\) | 7.91213 | + | 12.0226i | 0.895873 | + | 1.36129i | ||||
\(79\) | 3.46441 | + | 6.00054i | 0.389777 | + | 0.675113i | 0.992419 | − | 0.122898i | \(-0.0392188\pi\) |
−0.602643 | + | 0.798011i | \(0.705885\pi\) | |||||||
\(80\) | 6.38144 | − | 10.5591i | 0.713466 | − | 1.18055i | ||||
\(81\) | 7.82984 | − | 4.43775i | 0.869982 | − | 0.493084i | ||||
\(82\) | −3.07435 | + | 8.91003i | −0.339506 | + | 0.983949i | ||||
\(83\) | −0.588112 | − | 0.157584i | −0.0645537 | − | 0.0172971i | 0.226398 | − | 0.974035i | \(-0.427305\pi\) |
−0.290951 | + | 0.956738i | \(0.593972\pi\) | |||||||
\(84\) | 6.13010 | + | 3.63798i | 0.668849 | + | 0.396936i | ||||
\(85\) | 0.132258 | − | 0.0354385i | 0.0143454 | − | 0.00384385i | ||||
\(86\) | −16.1528 | − | 1.13991i | −1.74180 | − | 0.122919i | ||||
\(87\) | −1.65285 | + | 12.3643i | −0.177205 | + | 1.32559i | ||||
\(88\) | −1.24380 | + | 0.401495i | −0.132589 | + | 0.0427995i | ||||
\(89\) | − | 5.30004i | − | 0.561803i | −0.959737 | − | 0.280902i | \(-0.909367\pi\) | ||
0.959737 | − | 0.280902i | \(-0.0906335\pi\) | |||||||
\(90\) | −8.53948 | − | 9.91579i | −0.900140 | − | 1.04522i | ||||
\(91\) | 8.54954 | + | 8.54954i | 0.896235 | + | 0.896235i | ||||
\(92\) | 18.0466 | + | 2.55985i | 1.88149 | + | 0.266883i | ||||
\(93\) | −1.73394 | − | 0.722273i | −0.179802 | − | 0.0748962i | ||||
\(94\) | 2.61539 | − | 2.27059i | 0.269757 | − | 0.234193i | ||||
\(95\) | −2.41495 | + | 4.18282i | −0.247769 | + | 0.429148i | ||||
\(96\) | 4.56927 | − | 8.66728i | 0.466349 | − | 0.884601i | ||||
\(97\) | −5.88304 | − | 10.1897i | −0.597333 | − | 1.03461i | −0.993213 | − | 0.116309i | \(-0.962894\pi\) |
0.395880 | − | 0.918302i | \(-0.370439\pi\) | |||||||
\(98\) | −3.69722 | − | 1.27570i | −0.373475 | − | 0.128865i | ||||
\(99\) | −0.00552307 | + | 1.38627i | −0.000555089 | + | 0.139325i | ||||
\(100\) | −5.56686 | + | 7.10648i | −0.556686 | + | 0.710648i | ||||
\(101\) | 1.51464 | − | 5.65271i | 0.150712 | − | 0.562466i | −0.848722 | − | 0.528839i | \(-0.822628\pi\) |
0.999434 | − | 0.0336269i | \(-0.0107058\pi\) | |||||||
\(102\) | 0.103209 | − | 0.0342315i | 0.0102192 | − | 0.00338942i | ||||
\(103\) | 1.13680 | + | 0.656334i | 0.112013 | + | 0.0646705i | 0.554960 | − | 0.831877i | \(-0.312734\pi\) |
−0.442947 | + | 0.896548i | \(0.646067\pi\) | |||||||
\(104\) | 11.1440 | − | 12.3290i | 1.09276 | − | 1.20895i | ||||
\(105\) | −8.70829 | − | 6.70971i | −0.849842 | − | 0.654800i | ||||
\(106\) | −2.74042 | + | 4.05723i | −0.266173 | + | 0.394073i | ||||
\(107\) | −2.92966 | − | 2.92966i | −0.283221 | − | 0.283221i | 0.551171 | − | 0.834392i | \(-0.314181\pi\) |
−0.834392 | + | 0.551171i | \(0.814181\pi\) | |||||||
\(108\) | −7.23008 | − | 7.46498i | −0.695715 | − | 0.718318i | ||||
\(109\) | 11.5193 | − | 11.5193i | 1.10335 | − | 1.10335i | 0.109344 | − | 0.994004i | \(-0.465125\pi\) |
0.994004 | − | 0.109344i | \(-0.0348750\pi\) | |||||||
\(110\) | 1.97887 | − | 0.383339i | 0.188678 | − | 0.0365499i | ||||
\(111\) | −1.14975 | + | 1.49222i | −0.109130 | + | 0.141636i | ||||
\(112\) | 2.28905 | − | 7.90639i | 0.216295 | − | 0.747084i | ||||
\(113\) | 3.79250 | − | 6.56880i | 0.356768 | − | 0.617941i | −0.630651 | − | 0.776067i | \(-0.717212\pi\) |
0.987419 | + | 0.158126i | \(0.0505452\pi\) | |||||||
\(114\) | −1.72049 | + | 3.42815i | −0.161139 | + | 0.321076i | ||||
\(115\) | −27.1524 | − | 7.27547i | −2.53198 | − | 0.678441i | ||||
\(116\) | 14.2989 | − | 1.73710i | 1.32762 | − | 0.161286i | ||||
\(117\) | −8.75268 | − | 15.3005i | −0.809186 | − | 1.41454i | ||||
\(118\) | 2.30189 | + | 4.72726i | 0.211906 | + | 0.435179i | ||||
\(119\) | 0.0791104 | − | 0.0456744i | 0.00725204 | − | 0.00418696i | ||||
\(120\) | −8.60735 | + | 12.4194i | −0.785740 | + | 1.13373i | ||||
\(121\) | 9.34136 | + | 5.39324i | 0.849214 | + | 0.490294i | ||||
\(122\) | 0.122398 | − | 1.73442i | 0.0110814 | − | 0.157027i | ||||
\(123\) | 4.43888 | − | 10.6563i | 0.400240 | − | 0.960847i | ||||
\(124\) | −0.304609 | + | 2.14745i | −0.0273547 | + | 0.192846i | ||||
\(125\) | −1.06075 | + | 1.06075i | −0.0948761 | + | 0.0948761i | ||||
\(126\) | −7.21516 | − | 4.91539i | −0.642778 | − | 0.437897i | ||||
\(127\) | −10.6374 | −0.943915 | −0.471958 | − | 0.881621i | \(-0.656452\pi\) | ||||
−0.471958 | + | 0.881621i | \(0.656452\pi\) | |||||||
\(128\) | −11.0122 | − | 2.59441i | −0.973352 | − | 0.229316i | ||||
\(129\) | 19.6574 | + | 2.62779i | 1.73073 | + | 0.231364i | ||||
\(130\) | −19.3540 | + | 16.8024i | −1.69746 | + | 1.47367i | ||||
\(131\) | 4.98338 | + | 18.5982i | 0.435400 | + | 1.62493i | 0.740108 | + | 0.672488i | \(0.234774\pi\) |
−0.304708 | + | 0.952446i | \(0.598559\pi\) | |||||||
\(132\) | 1.55105 | − | 0.395718i | 0.135002 | − | 0.0344428i | ||||
\(133\) | −0.833985 | + | 3.11247i | −0.0723157 | + | 0.269886i | ||||
\(134\) | −7.27569 | + | 3.54283i | −0.628524 | + | 0.306054i | ||||
\(135\) | 9.68053 | + | 12.7732i | 0.833167 | + | 1.09935i | ||||
\(136\) | −0.0681824 | − | 0.105434i | −0.00584659 | − | 0.00904093i | ||||
\(137\) | −8.30213 | + | 4.79324i | −0.709299 | + | 0.409514i | −0.810802 | − | 0.585321i | \(-0.800968\pi\) |
0.101502 | + | 0.994835i | \(0.467635\pi\) | |||||||
\(138\) | −21.8638 | − | 4.50820i | −1.86117 | − | 0.383764i | ||||
\(139\) | 6.81465 | − | 1.82598i | 0.578011 | − | 0.154878i | 0.0420428 | − | 0.999116i | \(-0.486613\pi\) |
0.535968 | + | 0.844238i | \(0.319947\pi\) | |||||||
\(140\) | −4.97492 | + | 11.6786i | −0.420458 | + | 0.987020i | ||||
\(141\) | −3.37047 | + | 2.57560i | −0.283845 | + | 0.216905i | ||||
\(142\) | 9.56014 | − | 1.85195i | 0.802270 | − | 0.155412i | ||||
\(143\) | 2.71512 | 0.227050 | ||||||||
\(144\) | −6.24765 | + | 10.2453i | −0.520637 | + | 0.853778i | ||||
\(145\) | −22.2141 | −1.84478 | ||||||||
\(146\) | 18.3218 | − | 3.54922i | 1.51632 | − | 0.293736i | ||||
\(147\) | 4.42183 | + | 1.84191i | 0.364707 | + | 0.151918i | ||||
\(148\) | 2.00120 | + | 0.852487i | 0.164498 | + | 0.0700740i | ||||
\(149\) | 19.4991 | − | 5.22476i | 1.59743 | − | 0.428029i | 0.653162 | − | 0.757218i | \(-0.273442\pi\) |
0.944264 | + | 0.329189i | \(0.106775\pi\) | |||||||
\(150\) | 7.34778 | − | 8.26124i | 0.599944 | − | 0.674527i | ||||
\(151\) | 3.86699 | − | 2.23261i | 0.314691 | − | 0.181687i | −0.334333 | − | 0.942455i | \(-0.608511\pi\) |
0.649024 | + | 0.760768i | \(0.275178\pi\) | |||||||
\(152\) | 4.33048 | + | 0.929169i | 0.351248 | + | 0.0753656i | ||||
\(153\) | −0.128775 | + | 0.0339558i | −0.0104108 | + | 0.00274516i | ||||
\(154\) | 1.20903 | − | 0.588725i | 0.0974263 | − | 0.0474408i | ||||
\(155\) | 0.865741 | − | 3.23099i | 0.0695380 | − | 0.259519i | ||||
\(156\) | −14.5642 | + | 14.2188i | −1.16607 | + | 1.13841i | ||||
\(157\) | −4.26421 | − | 15.9143i | −0.340321 | − | 1.27010i | −0.897984 | − | 0.440029i | \(-0.854968\pi\) |
0.557662 | − | 0.830068i | \(-0.311698\pi\) | |||||||
\(158\) | −7.39939 | + | 6.42388i | −0.588664 | + | 0.511056i | ||||
\(159\) | 3.65983 | − | 4.74996i | 0.290243 | − | 0.376696i | ||||
\(160\) | 16.3767 | + | 6.02006i | 1.29469 | + | 0.475928i | ||||
\(161\) | −18.7538 | −1.47800 | ||||||||
\(162\) | 8.26727 | + | 9.67741i | 0.649538 | + | 0.760329i | ||||
\(163\) | 5.24124 | − | 5.24124i | 0.410525 | − | 0.410525i | −0.471396 | − | 0.881922i | \(-0.656250\pi\) |
0.881922 | + | 0.471396i | \(0.156250\pi\) | |||||||
\(164\) | −13.1976 | − | 1.87204i | −1.03056 | − | 0.146181i | ||||
\(165\) | −2.44819 | + | 0.317350i | −0.190591 | + | 0.0247056i | ||||
\(166\) | 0.0606142 | − | 0.858920i | 0.00470457 | − | 0.0666651i | ||||
\(167\) | −11.2974 | − | 6.52257i | −0.874220 | − | 0.504731i | −0.00547195 | − | 0.999985i | \(-0.501742\pi\) |
−0.868748 | + | 0.495254i | \(0.835075\pi\) | |||||||
\(168\) | −3.40226 | + | 9.48951i | −0.262490 | + | 0.732132i | ||||
\(169\) | −18.6403 | + | 10.7620i | −1.43387 | + | 0.827847i | ||||
\(170\) | 0.0847745 | + | 0.174096i | 0.00650191 | + | 0.0133526i | ||||
\(171\) | 2.36504 | − | 4.05894i | 0.180859 | − | 0.310395i | ||||
\(172\) | −2.76173 | − | 22.7331i | −0.210580 | − | 1.73339i | ||||
\(173\) | 1.38769 | + | 0.371831i | 0.105504 | + | 0.0282698i | 0.311185 | − | 0.950349i | \(-0.399274\pi\) |
−0.205681 | + | 0.978619i | \(0.565941\pi\) | |||||||
\(174\) | −17.6112 | + | 1.03062i | −1.33510 | + | 0.0781311i | ||||
\(175\) | 4.64402 | − | 8.04369i | 0.351055 | − | 0.608046i | ||||
\(176\) | −0.891964 | − | 1.61891i | −0.0672343 | − | 0.122030i | ||||
\(177\) | −2.45247 | − | 5.95432i | −0.184339 | − | 0.447554i | ||||
\(178\) | 7.35859 | − | 1.42548i | 0.551550 | − | 0.106844i | ||||
\(179\) | −2.50772 | + | 2.50772i | −0.187436 | + | 0.187436i | −0.794587 | − | 0.607151i | \(-0.792312\pi\) |
0.607151 | + | 0.794587i | \(0.292312\pi\) | |||||||
\(180\) | 11.4704 | − | 14.5231i | 0.854951 | − | 1.08249i | ||||
\(181\) | 10.8795 | + | 10.8795i | 0.808666 | + | 0.808666i | 0.984432 | − | 0.175766i | \(-0.0562403\pi\) |
−0.175766 | + | 0.984432i | \(0.556240\pi\) | |||||||
\(182\) | −9.57076 | + | 14.1697i | −0.709432 | + | 1.05032i | ||||
\(183\) | −0.282161 | + | 2.11073i | −0.0208580 | + | 0.156029i | ||||
\(184\) | 1.29963 | + | 25.7444i | 0.0958098 | + | 1.89791i | ||||
\(185\) | −2.90520 | − | 1.67732i | −0.213594 | − | 0.123319i | ||||
\(186\) | 0.536452 | − | 2.60167i | 0.0393345 | − | 0.190764i | ||||
\(187\) | 0.00530922 | − | 0.0198143i | 0.000388248 | − | 0.00144896i | ||||
\(188\) | 3.85592 | + | 3.02053i | 0.281222 | + | 0.220295i | ||||
\(189\) | 8.44387 | + | 6.55976i | 0.614201 | + | 0.477152i | ||||
\(190\) | −6.45695 | − | 2.22793i | −0.468436 | − | 0.161631i | ||||
\(191\) | −6.59227 | − | 11.4182i | −0.477000 | − | 0.826188i | 0.522653 | − | 0.852546i | \(-0.324943\pi\) |
−0.999653 | + | 0.0263575i | \(0.991609\pi\) | |||||||
\(192\) | 13.2626 | + | 4.01287i | 0.957147 | + | 0.289604i | ||||
\(193\) | 8.71808 | − | 15.1002i | 0.627541 | − | 1.08693i | −0.360503 | − | 0.932758i | \(-0.617395\pi\) |
0.988044 | − | 0.154175i | \(-0.0492718\pi\) | |||||||
\(194\) | 12.5652 | − | 10.9086i | 0.902127 | − | 0.783194i | ||||
\(195\) | 24.9416 | − | 19.0595i | 1.78610 | − | 1.36488i | ||||
\(196\) | 0.776801 | − | 5.47633i | 0.0554858 | − | 0.391167i | ||||
\(197\) | −8.36275 | − | 8.36275i | −0.595822 | − | 0.595822i | 0.343376 | − | 0.939198i | \(-0.388429\pi\) |
−0.939198 | + | 0.343376i | \(0.888429\pi\) | |||||||
\(198\) | −1.92618 | + | 0.365176i | −0.136888 | + | 0.0259519i | ||||
\(199\) | − | 15.6420i | − | 1.10883i | −0.832240 | − | 0.554416i | \(-0.812942\pi\) | ||
0.832240 | − | 0.554416i | \(-0.187058\pi\) | |||||||
\(200\) | −11.3639 | − | 5.81772i | −0.803549 | − | 0.411375i | ||||
\(201\) | 9.16425 | − | 3.77459i | 0.646396 | − | 0.266239i | ||||
\(202\) | 8.25561 | + | 0.582601i | 0.580863 | + | 0.0409916i | ||||
\(203\) | −14.3151 | + | 3.83573i | −1.00473 | + | 0.269216i | ||||
\(204\) | 0.0752859 | + | 0.134089i | 0.00527106 | + | 0.00938813i | ||||
\(205\) | 19.8567 | + | 5.32059i | 1.38685 | + | 0.371606i | ||||
\(206\) | −0.605506 | + | 1.75487i | −0.0421876 | + | 0.122267i | ||||
\(207\) | 26.3809 | + | 7.18150i | 1.83360 | + | 0.499149i | ||||
\(208\) | 20.1148 | + | 12.1564i | 1.39471 | + | 0.842896i | ||||
\(209\) | 0.361796 | + | 0.626649i | 0.0250259 | + | 0.0433462i | ||||
\(210\) | 6.97363 | − | 13.8952i | 0.481226 | − | 0.958862i | ||||
\(211\) | 5.00865 | + | 18.6925i | 0.344810 | + | 1.28685i | 0.892834 | + | 0.450386i | \(0.148713\pi\) |
−0.548024 | + | 0.836462i | \(0.684620\pi\) | |||||||
\(212\) | −6.37012 | − | 2.71359i | −0.437502 | − | 0.186370i | ||||
\(213\) | −11.8275 | + | 1.53315i | −0.810404 | + | 0.105050i | ||||
\(214\) | 3.27960 | − | 4.85550i | 0.224189 | − | 0.331915i | ||||
\(215\) | 35.3170i | 2.40860i | ||||||||
\(216\) | 8.41983 | − | 12.0460i | 0.572897 | − | 0.819628i | ||||
\(217\) | − | 2.23159i | − | 0.151491i | ||||||
\(218\) | 19.0916 | + | 12.8952i | 1.29305 | + | 0.873376i | ||||
\(219\) | −22.6670 | + | 2.93825i | −1.53170 | + | 0.198548i | ||||
\(220\) | 1.06446 | + | 2.64437i | 0.0717657 | + | 0.178283i | ||||
\(221\) | 0.0675091 | + | 0.251948i | 0.00454116 | + | 0.0169478i | ||||
\(222\) | −2.38104 | − | 1.19498i | −0.159805 | − | 0.0802017i | ||||
\(223\) | −2.07790 | − | 3.59904i | −0.139147 | − | 0.241009i | 0.788027 | − | 0.615641i | \(-0.211103\pi\) |
−0.927174 | + | 0.374631i | \(0.877769\pi\) | |||||||
\(224\) | 11.5929 | + | 1.05166i | 0.774584 | + | 0.0702667i | ||||
\(225\) | −9.61296 | + | 9.53666i | −0.640864 | + | 0.635778i | ||||
\(226\) | 10.1402 | + | 3.49880i | 0.674513 | + | 0.232737i | ||||
\(227\) | 6.22983 | + | 1.66928i | 0.413488 | + | 0.110794i | 0.459565 | − | 0.888144i | \(-0.348005\pi\) |
−0.0460768 | + | 0.998938i | \(0.514672\pi\) | |||||||
\(228\) | −5.22239 | − | 1.46672i | −0.345861 | − | 0.0971358i | ||||
\(229\) | −9.37974 | + | 2.51329i | −0.619831 | + | 0.166083i | −0.555051 | − | 0.831816i | \(-0.687301\pi\) |
−0.0647799 | + | 0.997900i | \(0.520635\pi\) | |||||||
\(230\) | 2.79848 | − | 39.6553i | 0.184526 | − | 2.61479i | ||||
\(231\) | −1.52286 | + | 0.627237i | −0.100197 | + | 0.0412692i | ||||
\(232\) | 6.25758 | + | 19.3855i | 0.410830 | + | 1.27272i | ||||
\(233\) | 22.2096i | 1.45500i | 0.686108 | + | 0.727499i | \(0.259318\pi\) | ||||
−0.686108 | + | 0.727499i | \(0.740682\pi\) | |||||||
\(234\) | 18.8892 | − | 16.2674i | 1.23483 | − | 1.06343i | ||||
\(235\) | −5.34145 | − | 5.34145i | −0.348438 | − | 0.348438i | ||||
\(236\) | −5.94423 | + | 4.46738i | −0.386937 | + | 0.290801i | ||||
\(237\) | 9.53563 | − | 7.28681i | 0.619406 | − | 0.473329i | ||||
\(238\) | 0.0846917 | + | 0.0975527i | 0.00548974 | + | 0.00632340i | ||||
\(239\) | −4.02723 | + | 6.97537i | −0.260500 | + | 0.451199i | −0.966375 | − | 0.257137i | \(-0.917221\pi\) |
0.705875 | + | 0.708337i | \(0.250554\pi\) | |||||||
\(240\) | −19.5581 | − | 8.61020i | −1.26247 | − | 0.555786i | ||||
\(241\) | 5.07653 | + | 8.79280i | 0.327008 | + | 0.566394i | 0.981917 | − | 0.189314i | \(-0.0606263\pi\) |
−0.654909 | + | 0.755708i | \(0.727293\pi\) | |||||||
\(242\) | −4.97557 | + | 14.4201i | −0.319842 | + | 0.926960i | ||||
\(243\) | −9.36600 | − | 12.4611i | −0.600829 | − | 0.799377i | ||||
\(244\) | 2.44099 | − | 0.296544i | 0.156268 | − | 0.0189843i | ||||
\(245\) | −2.20778 | + | 8.23954i | −0.141050 | + | 0.526405i | ||||
\(246\) | 15.9891 | + | 3.29688i | 1.01943 | + | 0.210201i | ||||
\(247\) | −7.96812 | − | 4.60040i | −0.507000 | − | 0.292716i | ||||
\(248\) | −3.06345 | + | 0.154649i | −0.194529 | + | 0.00982020i | ||||
\(249\) | −0.139732 | + | 1.04528i | −0.00885516 | + | 0.0662417i | ||||
\(250\) | −1.75804 | − | 1.18745i | −0.111188 | − | 0.0751010i | ||||
\(251\) | 11.0682 | + | 11.0682i | 0.698617 | + | 0.698617i | 0.964112 | − | 0.265495i | \(-0.0855355\pi\) |
−0.265495 | + | 0.964112i | \(0.585535\pi\) | |||||||
\(252\) | 4.88398 | − | 11.3396i | 0.307662 | − | 0.714326i | ||||
\(253\) | −2.97786 | + | 2.97786i | −0.187217 | + | 0.187217i | ||||
\(254\) | −2.86099 | − | 14.7690i | −0.179514 | − | 0.926688i | ||||
\(255\) | −0.0903202 | − | 0.219287i | −0.00565607 | − | 0.0137323i | ||||
\(256\) | 0.640289 | − | 15.9872i | 0.0400181 | − | 0.999199i | ||||
\(257\) | −10.3807 | + | 17.9800i | −0.647533 | + | 1.12156i | 0.336177 | + | 0.941799i | \(0.390866\pi\) |
−0.983710 | + | 0.179761i | \(0.942467\pi\) | |||||||
\(258\) | 1.63853 | + | 27.9991i | 0.102011 | + | 1.74315i | ||||
\(259\) | −2.16179 | − | 0.579249i | −0.134327 | − | 0.0359928i | ||||
\(260\) | −28.5339 | − | 22.3520i | −1.76960 | − | 1.38621i | ||||
\(261\) | 21.6059 | + | 0.0860808i | 1.33737 | + | 0.00532827i | ||||
\(262\) | −24.4815 | + | 11.9210i | −1.51247 | + | 0.736484i | ||||
\(263\) | −9.13436 | + | 5.27373i | −0.563249 | + | 0.325192i | −0.754448 | − | 0.656359i | \(-0.772096\pi\) |
0.191200 | + | 0.981551i | \(0.438762\pi\) | |||||||
\(264\) | 0.966580 | + | 2.04705i | 0.0594889 | + | 0.125987i | ||||
\(265\) | 9.24767 | + | 5.33914i | 0.568080 | + | 0.327981i | ||||
\(266\) | −4.54567 | − | 0.320789i | −0.278713 | − | 0.0196689i | ||||
\(267\) | −9.10377 | + | 1.18009i | −0.557142 | + | 0.0722203i | ||||
\(268\) | −6.87571 | − | 9.14873i | −0.420001 | − | 0.558848i | ||||
\(269\) | −0.529850 | + | 0.529850i | −0.0323055 | + | 0.0323055i | −0.723075 | − | 0.690770i | \(-0.757272\pi\) |
0.690770 | + | 0.723075i | \(0.257272\pi\) | |||||||
\(270\) | −15.1308 | + | 16.8759i | −0.920830 | + | 1.02704i | ||||
\(271\) | 14.3682 | 0.872804 | 0.436402 | − | 0.899752i | \(-0.356253\pi\) | ||||
0.436402 | + | 0.899752i | \(0.356253\pi\) | |||||||
\(272\) | 0.128047 | − | 0.123022i | 0.00776402 | − | 0.00745929i | ||||
\(273\) | 12.7818 | − | 16.5890i | 0.773587 | − | 1.00401i | ||||
\(274\) | −8.88786 | − | 10.2375i | −0.536935 | − | 0.618472i | ||||
\(275\) | −0.539824 | − | 2.01465i | −0.0325526 | − | 0.121488i | ||||
\(276\) | 0.378814 | − | 31.5683i | 0.0228019 | − | 1.90019i | ||||
\(277\) | 2.19602 | − | 8.19567i | 0.131946 | − | 0.492430i | −0.868046 | − | 0.496485i | \(-0.834624\pi\) |
0.999992 | + | 0.00405455i | \(0.00129061\pi\) | |||||||
\(278\) | 4.36803 | + | 8.97037i | 0.261977 | + | 0.538007i | ||||
\(279\) | −0.854559 | + | 3.13918i | −0.0511611 | + | 0.187938i | ||||
\(280\) | −17.5526 | − | 3.76618i | −1.04897 | − | 0.225072i | ||||
\(281\) | 6.21827 | − | 3.59012i | 0.370951 | − | 0.214169i | −0.302923 | − | 0.953015i | \(-0.597962\pi\) |
0.673874 | + | 0.738847i | \(0.264629\pi\) | |||||||
\(282\) | −4.48248 | − | 3.98685i | −0.266928 | − | 0.237413i | ||||
\(283\) | −14.8817 | + | 3.98753i | −0.884623 | + | 0.237034i | −0.672401 | − | 0.740187i | \(-0.734737\pi\) |
−0.212222 | + | 0.977221i | \(0.568070\pi\) | |||||||
\(284\) | 5.14251 | + | 12.7752i | 0.305152 | + | 0.758071i | ||||
\(285\) | 7.72245 | + | 3.21678i | 0.457438 | + | 0.190546i | ||||
\(286\) | 0.730248 | + | 3.76968i | 0.0431805 | + | 0.222906i | ||||
\(287\) | 13.7147 | 0.809555 | ||||||||
\(288\) | −15.9050 | − | 5.91871i | −0.937211 | − | 0.348763i | ||||
\(289\) | −16.9980 | −0.999884 | ||||||||
\(290\) | −5.97460 | − | 30.8421i | −0.350841 | − | 1.81111i | ||||
\(291\) | −16.1928 | + | 12.3740i | −0.949239 | + | 0.725377i | ||||
\(292\) | 9.85550 | + | 24.4834i | 0.576750 | + | 1.43278i | ||||
\(293\) | −15.3492 | + | 4.11281i | −0.896711 | + | 0.240273i | −0.677603 | − | 0.735428i | \(-0.736981\pi\) |
−0.219108 | + | 0.975701i | \(0.570315\pi\) | |||||||
\(294\) | −1.36804 | + | 6.63468i | −0.0797856 | + | 0.386942i | ||||
\(295\) | 9.93122 | − | 5.73379i | 0.578218 | − | 0.333834i | ||||
\(296\) | −0.645360 | + | 3.00776i | −0.0375108 | + | 0.174822i | ||||
\(297\) | 2.38239 | − | 0.299175i | 0.138240 | − | 0.0173599i | ||||
\(298\) | 12.4985 | + | 25.6673i | 0.724016 | + | 1.48687i | ||||
\(299\) | 13.8595 | − | 51.7244i | 0.801517 | − | 2.99130i | ||||
\(300\) | 13.4462 | + | 7.97978i | 0.776314 | + | 0.460713i | ||||
\(301\) | 6.09824 | + | 22.7589i | 0.351496 | + | 1.31180i | ||||
\(302\) | 4.13981 | + | 4.76846i | 0.238219 | + | 0.274394i | ||||
\(303\) | −10.0468 | − | 1.34305i | −0.577173 | − | 0.0771563i | ||||
\(304\) | −0.125354 | + | 6.26236i | −0.00718954 | + | 0.359171i | ||||
\(305\) | −3.79220 | −0.217141 | ||||||||
\(306\) | −0.0817790 | − | 0.169659i | −0.00467499 | − | 0.00969874i | ||||
\(307\) | 7.37130 | − | 7.37130i | 0.420702 | − | 0.420702i | −0.464743 | − | 0.885446i | \(-0.653853\pi\) |
0.885446 | + | 0.464743i | \(0.153853\pi\) | |||||||
\(308\) | 1.14256 | + | 1.52028i | 0.0651035 | + | 0.0866259i | ||||
\(309\) | 0.874254 | − | 2.09880i | 0.0497346 | − | 0.119397i | ||||
\(310\) | 4.71876 | + | 0.333004i | 0.268008 | + | 0.0189134i | ||||
\(311\) | −6.23360 | − | 3.59897i | −0.353475 | − | 0.204079i | 0.312740 | − | 0.949839i | \(-0.398753\pi\) |
−0.666215 | + | 0.745760i | \(0.732087\pi\) | |||||||
\(312\) | −23.6585 | − | 16.3967i | −1.33940 | − | 0.928281i | ||||
\(313\) | −9.23161 | + | 5.32987i | −0.521801 | + | 0.301262i | −0.737671 | − | 0.675160i | \(-0.764075\pi\) |
0.215870 | + | 0.976422i | \(0.430741\pi\) | |||||||
\(314\) | 20.9485 | − | 10.2007i | 1.18219 | − | 0.575658i | ||||
\(315\) | −9.58617 | + | 16.4520i | −0.540119 | + | 0.926966i | ||||
\(316\) | −10.9090 | − | 8.54560i | −0.613681 | − | 0.480727i | ||||
\(317\) | 14.5196 | + | 3.89052i | 0.815503 | + | 0.218513i | 0.642379 | − | 0.766387i | \(-0.277947\pi\) |
0.173123 | + | 0.984900i | \(0.444614\pi\) | |||||||
\(318\) | 7.57919 | + | 3.80379i | 0.425020 | + | 0.213306i | ||||
\(319\) | −1.66400 | + | 2.88213i | −0.0931662 | + | 0.161369i | ||||
\(320\) | −3.95367 | + | 24.3566i | −0.221017 | + | 1.36157i | ||||
\(321\) | −4.37991 | + | 5.68453i | −0.244463 | + | 0.317280i | ||||
\(322\) | −5.04393 | − | 26.0378i | −0.281087 | − | 1.45103i | ||||
\(323\) | −0.0491536 | + | 0.0491536i | −0.00273498 | + | 0.00273498i | ||||
\(324\) | −11.2126 | + | 14.0811i | −0.622923 | + | 0.782283i | ||||
\(325\) | 18.7531 | + | 18.7531i | 1.04023 | + | 1.04023i | ||||
\(326\) | 8.68661 | + | 5.86729i | 0.481107 | + | 0.324959i | ||||
\(327\) | −22.3513 | − | 17.2216i | −1.23603 | − | 0.952357i | ||||
\(328\) | −0.950425 | − | 18.8271i | −0.0524785 | − | 1.03955i | ||||
\(329\) | −4.36444 | − | 2.51981i | −0.240619 | − | 0.138922i | ||||
\(330\) | −1.09906 | − | 3.31372i | −0.0605014 | − | 0.182414i | ||||
\(331\) | 6.53309 | − | 24.3818i | 0.359091 | − | 1.34015i | −0.516166 | − | 0.856488i | \(-0.672641\pi\) |
0.875257 | − | 0.483658i | \(-0.160692\pi\) | |||||||
\(332\) | 1.20883 | − | 0.146855i | 0.0663431 | − | 0.00805969i | ||||
\(333\) | 2.81916 | + | 1.64265i | 0.154489 | + | 0.0900169i | ||||
\(334\) | 6.01745 | − | 17.4396i | 0.329260 | − | 0.954255i | ||||
\(335\) | 8.82485 | + | 15.2851i | 0.482153 | + | 0.835113i | ||||
\(336\) | −14.0903 | − | 2.17145i | −0.768690 | − | 0.118462i | ||||
\(337\) | 1.80217 | − | 3.12146i | 0.0981707 | − | 0.170037i | −0.812757 | − | 0.582603i | \(-0.802034\pi\) |
0.910928 | + | 0.412566i | \(0.135368\pi\) | |||||||
\(338\) | −19.9554 | − | 22.9858i | −1.08543 | − | 1.25026i | ||||
\(339\) | −12.1275 | − | 5.05171i | −0.658677 | − | 0.274371i | ||||
\(340\) | −0.218915 | + | 0.164525i | −0.0118724 | + | 0.00892265i | ||||
\(341\) | −0.354350 | − | 0.354350i | −0.0191891 | − | 0.0191891i | ||||
\(342\) | 6.27154 | + | 2.19196i | 0.339126 | + | 0.118528i | ||||
\(343\) | 20.0953i | 1.08505i | ||||||||
\(344\) | 30.8200 | − | 9.94861i | 1.66170 | − | 0.536393i | ||||
\(345\) | −6.45126 | + | 48.2591i | −0.347324 | + | 2.59818i | ||||
\(346\) | −0.143023 | + | 2.02668i | −0.00768899 | + | 0.108955i | ||||
\(347\) | 15.4243 | − | 4.13293i | 0.828020 | − | 0.221867i | 0.180170 | − | 0.983635i | \(-0.442335\pi\) |
0.647850 | + | 0.761768i | \(0.275669\pi\) | |||||||
\(348\) | −6.16754 | − | 24.1742i | −0.330615 | − | 1.29587i | ||||
\(349\) | −15.1326 | − | 4.05477i | −0.810029 | − | 0.217047i | −0.170047 | − | 0.985436i | \(-0.554392\pi\) |
−0.639983 | + | 0.768389i | \(0.721058\pi\) | |||||||
\(350\) | 12.4169 | + | 4.28438i | 0.663712 | + | 0.229010i | ||||
\(351\) | −24.3326 | + | 18.4411i | −1.29878 | + | 0.984312i | ||||
\(352\) | 2.00780 | − | 1.67382i | 0.107016 | − | 0.0892149i | ||||
\(353\) | 2.05577 | + | 3.56070i | 0.109418 | + | 0.189517i | 0.915534 | − | 0.402239i | \(-0.131768\pi\) |
−0.806117 | + | 0.591756i | \(0.798435\pi\) | |||||||
\(354\) | 7.60738 | − | 5.00647i | 0.404328 | − | 0.266091i | ||||
\(355\) | −5.49691 | − | 20.5147i | −0.291746 | − | 1.08881i | ||||
\(356\) | 3.95827 | + | 9.83330i | 0.209788 | + | 0.521164i | ||||
\(357\) | −0.0960684 | − | 0.125717i | −0.00508448 | − | 0.00665363i | ||||
\(358\) | −4.15619 | − | 2.80726i | −0.219662 | − | 0.148368i | ||||
\(359\) | − | 20.1902i | − | 1.06560i | −0.846242 | − | 0.532800i | \(-0.821140\pi\) | ||
0.846242 | − | 0.532800i | \(-0.178860\pi\) | |||||||
\(360\) | 23.2490 | + | 12.0194i | 1.22533 | + | 0.633478i | ||||
\(361\) | 16.5479i | 0.870945i | ||||||||
\(362\) | −12.1790 | + | 18.0312i | −0.640114 | + | 0.947699i | ||||
\(363\) | 7.18394 | − | 17.2463i | 0.377059 | − | 0.905196i | ||||
\(364\) | −22.2473 | − | 9.47706i | −1.16608 | − | 0.496733i | ||||
\(365\) | −10.5347 | − | 39.3160i | −0.551411 | − | 2.05789i | ||||
\(366\) | −3.00643 | + | 0.175939i | −0.157149 | + | 0.00919647i | ||||
\(367\) | 11.2398 | + | 19.4679i | 0.586714 | + | 1.01622i | 0.994659 | + | 0.103212i | \(0.0329120\pi\) |
−0.407946 | + | 0.913006i | \(0.633755\pi\) | |||||||
\(368\) | −35.3941 | + | 8.72852i | −1.84505 | + | 0.455006i | ||||
\(369\) | −19.2925 | − | 5.25187i | −1.00433 | − | 0.273402i | ||||
\(370\) | 1.54742 | − | 4.48471i | 0.0804466 | − | 0.233149i | ||||
\(371\) | 6.88128 | + | 1.84383i | 0.357258 | + | 0.0957270i | ||||
\(372\) | 3.75645 | + | 0.0450767i | 0.194763 | + | 0.00233712i | ||||
\(373\) | −25.6543 | + | 6.87405i | −1.32833 | + | 0.355925i | −0.852092 | − | 0.523392i | \(-0.824666\pi\) |
−0.476237 | + | 0.879317i | \(0.658000\pi\) | |||||||
\(374\) | 0.0289381 | + | 0.00204217i | 0.00149636 | + | 0.000105598i | ||||
\(375\) | 2.05821 | + | 1.58584i | 0.106285 | + | 0.0818925i | ||||
\(376\) | −3.15665 | + | 6.16596i | −0.162792 | + | 0.317985i | ||||
\(377\) | − | 42.3171i | − | 2.17944i | ||||||
\(378\) | −6.83656 | + | 13.4878i | −0.351635 | + | 0.693737i | ||||
\(379\) | −6.62881 | − | 6.62881i | −0.340499 | − | 0.340499i | 0.516056 | − | 0.856555i | \(-0.327400\pi\) |
−0.856555 | + | 0.516056i | \(0.827400\pi\) | |||||||
\(380\) | 1.35663 | − | 9.56407i | 0.0695938 | − | 0.490626i | ||||
\(381\) | 2.36848 | + | 18.2716i | 0.121341 | + | 0.936083i | ||||
\(382\) | 14.0800 | − | 12.2237i | 0.720394 | − | 0.625419i | ||||
\(383\) | 1.98902 | − | 3.44509i | 0.101634 | − | 0.176036i | −0.810724 | − | 0.585429i | \(-0.800926\pi\) |
0.912358 | + | 0.409393i | \(0.134259\pi\) | |||||||
\(384\) | −2.00442 | + | 19.4931i | −0.102288 | + | 0.994755i | ||||
\(385\) | −1.46646 | − | 2.53998i | −0.0747376 | − | 0.129449i | ||||
\(386\) | 23.3099 | + | 8.04293i | 1.18644 | + | 0.409374i | ||||
\(387\) | 0.136856 | − | 34.3502i | 0.00695676 | − | 1.74612i | ||||
\(388\) | 18.5250 | + | 14.5116i | 0.940467 | + | 0.736714i | ||||
\(389\) | 1.21847 | − | 4.54738i | 0.0617787 | − | 0.230561i | −0.928133 | − | 0.372250i | \(-0.878586\pi\) |
0.989911 | + | 0.141688i | \(0.0452531\pi\) | |||||||
\(390\) | 33.1705 | + | 29.5028i | 1.67965 | + | 1.49393i | ||||
\(391\) | −0.350370 | − | 0.202286i | −0.0177190 | − | 0.0102301i | ||||
\(392\) | 7.81228 | − | 0.394379i | 0.394580 | − | 0.0199191i | ||||
\(393\) | 30.8362 | − | 12.7009i | 1.55548 | − | 0.640674i | ||||
\(394\) | 9.36166 | − | 13.8601i | 0.471634 | − | 0.698261i | ||||
\(395\) | 15.1119 | + | 15.1119i | 0.760360 | + | 0.760360i | ||||
\(396\) | −1.02507 | − | 2.57610i | −0.0515116 | − | 0.129454i | ||||
\(397\) | −18.1361 | + | 18.1361i | −0.910223 | + | 0.910223i | −0.996289 | − | 0.0860661i | \(-0.972570\pi\) |
0.0860661 | + | 0.996289i | \(0.472570\pi\) | |||||||
\(398\) | 21.7174 | − | 4.20700i | 1.08859 | − | 0.210878i | ||||
\(399\) | 5.53193 | + | 0.739506i | 0.276943 | + | 0.0370216i | ||||
\(400\) | 5.02095 | − | 17.3424i | 0.251047 | − | 0.867119i | ||||
\(401\) | −2.47526 | + | 4.28727i | −0.123608 | + | 0.214096i | −0.921188 | − | 0.389118i | \(-0.872780\pi\) |
0.797580 | + | 0.603214i | \(0.206113\pi\) | |||||||
\(402\) | 7.70543 | + | 11.7085i | 0.384312 | + | 0.583966i | ||||
\(403\) | 6.15492 | + | 1.64921i | 0.306599 | + | 0.0821528i | ||||
\(404\) | 1.41151 | + | 11.6188i | 0.0702253 | + | 0.578057i | ||||
\(405\) | 19.7849 | − | 19.4721i | 0.983120 | − | 0.967576i | ||||
\(406\) | −9.17568 | − | 18.8435i | −0.455381 | − | 0.935189i | ||||
\(407\) | −0.435242 | + | 0.251287i | −0.0215742 | + | 0.0124558i | ||||
\(408\) | −0.165921 | + | 0.140591i | −0.00821433 | + | 0.00696030i | ||||
\(409\) | −12.4390 | − | 7.18164i | −0.615067 | − | 0.355109i | 0.159879 | − | 0.987137i | \(-0.448890\pi\) |
−0.774946 | + | 0.632027i | \(0.782223\pi\) | |||||||
\(410\) | −2.04655 | + | 29.0001i | −0.101072 | + | 1.43221i | ||||
\(411\) | 10.0818 | + | 13.1932i | 0.497297 | + | 0.650771i | ||||
\(412\) | −2.59931 | − | 0.368705i | −0.128059 | − | 0.0181648i | ||||
\(413\) | 5.40979 | − | 5.40979i | 0.266199 | − | 0.266199i | ||||
\(414\) | −2.87553 | + | 38.5588i | −0.141325 | + | 1.89506i | ||||
\(415\) | −1.87798 | −0.0921862 | ||||||||
\(416\) | −11.4680 | + | 31.1970i | −0.562266 | + | 1.52956i | ||||
\(417\) | −4.65378 | − | 11.2988i | −0.227896 | − | 0.553305i | ||||
\(418\) | −0.772734 | + | 0.670859i | −0.0377956 | + | 0.0328128i | ||||
\(419\) | −6.54483 | − | 24.4257i | −0.319736 | − | 1.19327i | −0.919499 | − | 0.393093i | \(-0.871405\pi\) |
0.599763 | − | 0.800178i | \(-0.295262\pi\) | |||||||
\(420\) | 21.1678 | + | 5.94501i | 1.03288 | + | 0.290087i | ||||
\(421\) | 1.33131 | − | 4.96853i | 0.0648842 | − | 0.242151i | −0.925865 | − | 0.377853i | \(-0.876662\pi\) |
0.990750 | + | 0.135702i | \(0.0433290\pi\) | |||||||
\(422\) | −24.6057 | + | 11.9815i | −1.19779 | + | 0.583250i | ||||
\(423\) | 5.17452 | + | 5.21591i | 0.251594 | + | 0.253606i | ||||
\(424\) | 2.05427 | − | 9.57413i | 0.0997643 | − | 0.464961i | ||||
\(425\) | 0.173526 | − | 0.100185i | 0.00841723 | − | 0.00485969i | ||||
\(426\) | −5.30969 | − | 16.0089i | −0.257255 | − | 0.775635i | ||||
\(427\) | −2.44376 | + | 0.654803i | −0.118262 | + | 0.0316882i | ||||
\(428\) | 7.62346 | + | 3.24749i | 0.368494 | + | 0.156974i | ||||
\(429\) | −0.604540 | − | 4.66371i | −0.0291875 | − | 0.225166i | ||||
\(430\) | −49.0343 | + | 9.49872i | −2.36464 | + | 0.458069i | ||||
\(431\) | 20.0912 | 0.967760 | 0.483880 | − | 0.875134i | \(-0.339227\pi\) | ||||
0.483880 | + | 0.875134i | \(0.339227\pi\) | |||||||
\(432\) | 18.9893 | + | 8.45027i | 0.913622 | + | 0.406564i | ||||
\(433\) | 21.8262 | 1.04890 | 0.524449 | − | 0.851442i | \(-0.324271\pi\) | ||||
0.524449 | + | 0.851442i | \(0.324271\pi\) | |||||||
\(434\) | 3.09835 | − | 0.600200i | 0.148726 | − | 0.0288105i | ||||
\(435\) | 4.94611 | + | 38.1567i | 0.237148 | + | 1.82947i | ||||
\(436\) | −12.7690 | + | 29.9751i | −0.611524 | + | 1.43555i | ||||
\(437\) | 13.7848 | − | 3.69362i | 0.659415 | − | 0.176690i | ||||
\(438\) | −10.1759 | − | 30.6807i | −0.486223 | − | 1.46598i | ||||
\(439\) | 25.7554 | − | 14.8699i | 1.22924 | − | 0.709700i | 0.262367 | − | 0.964968i | \(-0.415497\pi\) |
0.966870 | + | 0.255268i | \(0.0821636\pi\) | |||||||
\(440\) | −3.38516 | + | 2.18912i | −0.161381 | + | 0.104362i | ||||
\(441\) | 2.17926 | − | 8.00541i | 0.103774 | − | 0.381210i | ||||
\(442\) | −0.331648 | + | 0.161493i | −0.0157749 | + | 0.00768142i | ||||
\(443\) | −9.06164 | + | 33.8185i | −0.430532 | + | 1.60677i | 0.321007 | + | 0.947077i | \(0.395979\pi\) |
−0.751539 | + | 0.659689i | \(0.770688\pi\) | |||||||
\(444\) | 1.01872 | − | 3.62724i | 0.0483462 | − | 0.172141i | ||||
\(445\) | −4.23106 | − | 15.7905i | −0.200571 | − | 0.748543i | ||||
\(446\) | 4.43805 | − | 3.85295i | 0.210148 | − | 0.182442i | ||||
\(447\) | −13.3161 | − | 32.3298i | −0.629828 | − | 1.52915i | ||||
\(448\) | 1.65786 | + | 16.3785i | 0.0783264 | + | 0.773810i | ||||
\(449\) | 27.6805 | 1.30633 | 0.653163 | − | 0.757217i | \(-0.273442\pi\) | ||||
0.653163 | + | 0.757217i | \(0.273442\pi\) | |||||||
\(450\) | −15.8262 | − | 10.7817i | −0.746054 | − | 0.508255i | ||||
\(451\) | 2.17773 | − | 2.17773i | 0.102545 | − | 0.102545i | ||||
\(452\) | −2.13049 | + | 15.0196i | −0.100210 | + | 0.706465i | ||||
\(453\) | −4.69591 | − | 6.14514i | −0.220633 | − | 0.288724i | ||||
\(454\) | −0.642082 | + | 9.09848i | −0.0301344 | + | 0.427013i | ||||
\(455\) | 32.2970 | + | 18.6467i | 1.51411 | + | 0.874169i | ||||
\(456\) | 0.631805 | − | 7.64526i | 0.0295870 | − | 0.358022i | ||||
\(457\) | 13.8114 | − | 7.97402i | 0.646070 | − | 0.373009i | −0.140879 | − | 0.990027i | \(-0.544993\pi\) |
0.786949 | + | 0.617018i | \(0.211659\pi\) | |||||||
\(458\) | −6.01220 | − | 12.3469i | −0.280932 | − | 0.576932i | ||||
\(459\) | 0.0869977 | + | 0.213633i | 0.00406071 | + | 0.00997155i | ||||
\(460\) | 55.8102 | − | 6.78009i | 2.60216 | − | 0.316123i | ||||
\(461\) | −18.1773 | − | 4.87059i | −0.846600 | − | 0.226846i | −0.190658 | − | 0.981657i | \(-0.561062\pi\) |
−0.655943 | + | 0.754811i | \(0.727729\pi\) | |||||||
\(462\) | −1.28044 | − | 1.94564i | −0.0595714 | − | 0.0905194i | ||||
\(463\) | 6.07529 | − | 10.5227i | 0.282343 | − | 0.489032i | −0.689619 | − | 0.724173i | \(-0.742222\pi\) |
0.971961 | + | 0.235141i | \(0.0755552\pi\) | |||||||
\(464\) | −25.2318 | + | 13.9019i | −1.17136 | + | 0.645378i | ||||
\(465\) | −5.74257 | − | 0.767664i | −0.266305 | − | 0.0355996i | ||||
\(466\) | −30.8359 | + | 5.97340i | −1.42844 | + | 0.276712i | ||||
\(467\) | −15.9698 | + | 15.9698i | −0.738992 | + | 0.738992i | −0.972383 | − | 0.233391i | \(-0.925018\pi\) |
0.233391 | + | 0.972383i | \(0.425018\pi\) | |||||||
\(468\) | 27.6661 | + | 21.8507i | 1.27887 | + | 1.01005i | ||||
\(469\) | 8.32618 | + | 8.32618i | 0.384467 | + | 0.384467i | ||||
\(470\) | 5.97947 | − | 8.85270i | 0.275812 | − | 0.408345i | ||||
\(471\) | −26.3862 | + | 10.8680i | −1.21581 | + | 0.500770i | ||||
\(472\) | −7.80126 | − | 7.05146i | −0.359082 | − | 0.324570i | ||||
\(473\) | 4.58216 | + | 2.64551i | 0.210688 | + | 0.121641i | ||||
\(474\) | 12.6817 | + | 11.2795i | 0.582489 | + | 0.518083i | ||||
\(475\) | −1.82931 | + | 6.82710i | −0.0839347 | + | 0.313249i | ||||
\(476\) | −0.112664 | + | 0.143823i | −0.00516395 | + | 0.00659214i | ||||
\(477\) | −8.97380 | − | 5.22881i | −0.410882 | − | 0.239411i | ||||
\(478\) | −10.7678 | − | 3.71536i | −0.492507 | − | 0.169936i | ||||
\(479\) | −9.27240 | − | 16.0603i | −0.423667 | − | 0.733813i | 0.572628 | − | 0.819815i | \(-0.305924\pi\) |
−0.996295 | + | 0.0860026i | \(0.972591\pi\) | |||||||
\(480\) | 6.69417 | − | 29.4703i | 0.305546 | − | 1.34513i | ||||
\(481\) | 3.19523 | − | 5.53430i | 0.145690 | − | 0.252343i | ||||
\(482\) | −10.8426 | + | 9.41314i | −0.493866 | + | 0.428757i | ||||
\(483\) | 4.17565 | + | 32.2130i | 0.189999 | + | 1.46574i | ||||
\(484\) | −21.3591 | − | 3.02973i | −0.970870 | − | 0.137715i | ||||
\(485\) | −25.6620 | − | 25.6620i | −1.16525 | − | 1.16525i | ||||
\(486\) | 14.7819 | − | 16.3553i | 0.670522 | − | 0.741890i | ||||
\(487\) | 6.58835i | 0.298547i | 0.988796 | + | 0.149273i | \(0.0476934\pi\) | ||||
−0.988796 | + | 0.149273i | \(0.952307\pi\) | |||||||
\(488\) | 1.06824 | + | 3.30932i | 0.0483570 | + | 0.149806i | ||||
\(489\) | −10.1698 | − | 7.83577i | −0.459893 | − | 0.354346i | ||||
\(490\) | −12.0336 | − | 0.849214i | −0.543623 | − | 0.0383636i | ||||
\(491\) | −4.86361 | + | 1.30320i | −0.219491 | + | 0.0588126i | −0.366889 | − | 0.930265i | \(-0.619577\pi\) |
0.147397 | + | 0.989077i | \(0.452910\pi\) | |||||||
\(492\) | −0.277028 | + | 23.0860i | −0.0124894 | + | 1.04080i | ||||
\(493\) | −0.308819 | − | 0.0827478i | −0.0139085 | − | 0.00372678i | ||||
\(494\) | 4.24413 | − | 12.3003i | 0.190953 | − | 0.553415i | ||||
\(495\) | 1.09021 | + | 4.13454i | 0.0490013 | + | 0.185834i | ||||
\(496\) | −1.03865 | − | 4.21171i | −0.0466366 | − | 0.189111i | ||||
\(497\) | −7.08461 | − | 12.2709i | −0.317788 | − | 0.550425i | ||||
\(498\) | −1.48885 | + | 0.0871285i | −0.0667168 | + | 0.00390432i | ||||
\(499\) | 5.62008 | + | 20.9744i | 0.251589 | + | 0.938944i | 0.969956 | + | 0.243279i | \(0.0782232\pi\) |
−0.718367 | + | 0.695664i | \(0.755110\pi\) | |||||||
\(500\) | 1.17583 | − | 2.76024i | 0.0525845 | − | 0.123442i | ||||
\(501\) | −8.68824 | + | 20.8576i | −0.388162 | + | 0.931851i | ||||
\(502\) | −12.3902 | + | 18.3439i | −0.553003 | + | 0.818730i | ||||
\(503\) | − | 9.04140i | − | 0.403136i | −0.979475 | − | 0.201568i | \(-0.935396\pi\) | ||
0.979475 | − | 0.201568i | \(-0.0646037\pi\) | |||||||
\(504\) | 17.0575 | + | 3.73109i | 0.759800 | + | 0.166196i | ||||
\(505\) | − | 18.0504i | − | 0.803232i | ||||||
\(506\) | −4.93539 | − | 3.33356i | −0.219405 | − | 0.148195i | ||||
\(507\) | 22.6361 | + | 29.6219i | 1.00530 | + | 1.31556i | ||||
\(508\) | 19.7358 | − | 7.94440i | 0.875635 | − | 0.352476i | ||||
\(509\) | 3.80331 | + | 14.1941i | 0.168579 | + | 0.629144i | 0.997557 | + | 0.0698626i | \(0.0222561\pi\) |
−0.828978 | + | 0.559281i | \(0.811077\pi\) | |||||||
\(510\) | 0.280166 | − | 0.184379i | 0.0124060 | − | 0.00816445i | ||||
\(511\) | −13.5775 | − | 23.5169i | −0.600633 | − | 1.04033i | ||||
\(512\) | 22.3689 | − | 3.41087i | 0.988573 | − | 0.150740i | ||||
\(513\) | −7.49856 | − | 3.15864i | −0.331070 | − | 0.139457i | ||||
\(514\) | −27.7554 | − | 9.57684i | −1.22424 | − | 0.422416i | ||||
\(515\) | 3.91086 | + | 1.04791i | 0.172333 | + | 0.0461765i | ||||
\(516\) | −38.4333 | + | 9.80546i | −1.69193 | + | 0.431661i | ||||
\(517\) | −1.09313 | + | 0.292904i | −0.0480760 | + | 0.0128819i | ||||
\(518\) | 0.222806 | − | 3.15722i | 0.00978953 | − | 0.138720i | ||||
\(519\) | 0.329708 | − | 2.46640i | 0.0144726 | − | 0.108263i | ||||
\(520\) | 23.3593 | − | 45.6283i | 1.02437 | − | 2.00093i | ||||
\(521\) | − | 7.25761i | − | 0.317962i | −0.987282 | − | 0.158981i | \(-0.949179\pi\) | ||
0.987282 | − | 0.158981i | \(-0.0508208\pi\) | |||||||
\(522\) | 5.69152 | + | 30.0209i | 0.249111 | + | 1.31398i | ||||
\(523\) | −19.0736 | − | 19.0736i | −0.834028 | − | 0.834028i | 0.154037 | − | 0.988065i | \(-0.450773\pi\) |
−0.988065 | + | 0.154037i | \(0.950773\pi\) | |||||||
\(524\) | −23.1356 | − | 30.7840i | −1.01069 | − | 1.34480i | ||||
\(525\) | −14.8505 | − | 6.18597i | −0.648129 | − | 0.269978i | ||||
\(526\) | −9.77879 | − | 11.2638i | −0.426376 | − | 0.491124i | ||||
\(527\) | 0.0240710 | − | 0.0416922i | 0.00104855 | − | 0.00181614i | ||||
\(528\) | −2.58217 | + | 1.89257i | −0.112374 | + | 0.0823635i | ||||
\(529\) | 30.0291 | + | 52.0119i | 1.30561 | + | 2.26139i | ||||
\(530\) | −4.92567 | + | 14.2755i | −0.213957 | + | 0.620087i | ||||
\(531\) | −9.68155 | + | 5.53833i | −0.420143 | + | 0.240343i | ||||
\(532\) | −0.777200 | − | 6.39750i | −0.0336959 | − | 0.277367i | ||||
\(533\) | −10.1355 | + | 37.8264i | −0.439019 | + | 1.63844i | ||||
\(534\) | −4.08695 | − | 12.3223i | −0.176860 | − | 0.533239i | ||||
\(535\) | −11.0672 | − | 6.38963i | −0.478476 | − | 0.276248i | ||||
\(536\) | 10.8529 | − | 12.0069i | 0.468772 | − | 0.518617i | ||||
\(537\) | 4.86582 | + | 3.74910i | 0.209976 | + | 0.161786i | ||||
\(538\) | −0.878151 | − | 0.593139i | −0.0378598 | − | 0.0255720i | ||||
\(539\) | 0.903648 | + | 0.903648i | 0.0389229 | + | 0.0389229i | ||||
\(540\) | −27.5001 | − | 16.4687i | −1.18341 | − | 0.708702i | ||||
\(541\) | 12.1246 | − | 12.1246i | 0.521279 | − | 0.521279i | −0.396679 | − | 0.917957i | \(-0.629837\pi\) |
0.917957 | + | 0.396679i | \(0.129837\pi\) | |||||||
\(542\) | 3.86440 | + | 19.9488i | 0.165990 | + | 0.856875i | ||||
\(543\) | 16.2651 | − | 21.1099i | 0.698001 | − | 0.905911i | ||||
\(544\) | 0.205243 | + | 0.144694i | 0.00879972 | + | 0.00620371i | ||||
\(545\) | 25.1237 | − | 43.5156i | 1.07618 | − | 1.86400i | ||||
\(546\) | 26.4699 | + | 13.2845i | 1.13281 | + | 0.568525i | ||||
\(547\) | 37.1224 | + | 9.94693i | 1.58724 | + | 0.425300i | 0.941158 | − | 0.337967i | \(-0.109739\pi\) |
0.646083 | + | 0.763267i | \(0.276406\pi\) | |||||||
\(548\) | 11.8234 | − | 15.0934i | 0.505070 | − | 0.644757i | ||||
\(549\) | 3.68838 | + | 0.0146950i | 0.157416 | + | 0.000627167i | ||||
\(550\) | 2.65196 | − | 1.29135i | 0.113080 | − | 0.0550632i | ||||
\(551\) | 9.76675 | − | 5.63884i | 0.416078 | − | 0.240223i | ||||
\(552\) | 43.9313 | − | 7.96452i | 1.86984 | − | 0.338992i | ||||
\(553\) | 12.3477 | + | 7.12897i | 0.525079 | + | 0.303155i | ||||
\(554\) | 11.9695 | + | 0.844692i | 0.508536 | + | 0.0358875i | ||||
\(555\) | −2.23423 | + | 5.36367i | −0.0948379 | + | 0.227675i | ||||
\(556\) | −11.2797 | + | 8.47722i | −0.478365 | + | 0.359514i | ||||
\(557\) | −7.00897 | + | 7.00897i | −0.296979 | + | 0.296979i | −0.839830 | − | 0.542850i | \(-0.817345\pi\) |
0.542850 | + | 0.839830i | \(0.317345\pi\) | |||||||
\(558\) | −4.58828 | − | 0.342173i | −0.194237 | − | 0.0144853i | ||||
\(559\) | −67.2778 | −2.84555 | ||||||||
\(560\) | 0.508094 | − | 25.3830i | 0.0214709 | − | 1.07263i | ||||
\(561\) | −0.0352167 | − | 0.00470776i | −0.00148685 | − | 0.000198762i | ||||
\(562\) | 6.65697 | + | 7.66788i | 0.280807 | + | 0.323450i | ||||
\(563\) | 1.62398 | + | 6.06076i | 0.0684424 | + | 0.255430i | 0.991667 | − | 0.128831i | \(-0.0411226\pi\) |
−0.923224 | + | 0.384262i | \(0.874456\pi\) | |||||||
\(564\) | 4.32976 | − | 7.29578i | 0.182316 | − | 0.307208i | ||||
\(565\) | 6.05515 | − | 22.5981i | 0.254742 | − | 0.950711i | ||||
\(566\) | −9.53881 | − | 19.5893i | −0.400946 | − | 0.823399i | ||||
\(567\) | 9.38748 | − | 15.9644i | 0.394237 | − | 0.670444i | ||||
\(568\) | −16.3541 | + | 10.5759i | −0.686202 | + | 0.443753i | ||||
\(569\) | −5.33529 | + | 3.08033i | −0.223667 | + | 0.129134i | −0.607647 | − | 0.794207i | \(-0.707887\pi\) |
0.383980 | + | 0.923341i | \(0.374553\pi\) | |||||||
\(570\) | −2.38919 | + | 11.5870i | −0.100072 | + | 0.485328i | ||||
\(571\) | 18.0529 | − | 4.83727i | 0.755491 | − | 0.202433i | 0.139539 | − | 0.990217i | \(-0.455438\pi\) |
0.615952 | + | 0.787783i | \(0.288771\pi\) | |||||||
\(572\) | −5.03744 | + | 2.02776i | −0.210626 | + | 0.0847847i | ||||
\(573\) | −18.1449 | + | 13.8657i | −0.758015 | + | 0.579250i | ||||
\(574\) | 3.68866 | + | 19.0416i | 0.153962 | + | 0.794780i | ||||
\(575\) | −41.1357 | −1.71548 | ||||||||
\(576\) | 3.93982 | − | 23.6744i | 0.164159 | − | 0.986434i | ||||
\(577\) | 11.2964 | 0.470277 | 0.235138 | − | 0.971962i | \(-0.424446\pi\) | ||||
0.235138 | + | 0.971962i | \(0.424446\pi\) | |||||||
\(578\) | −4.57172 | − | 23.6001i | −0.190158 | − | 0.981635i | ||||
\(579\) | −27.8784 | − | 11.6127i | −1.15859 | − | 0.482608i | ||||
\(580\) | 41.2143 | − | 16.5903i | 1.71133 | − | 0.688875i | ||||
\(581\) | −1.21020 | + | 0.324272i | −0.0502076 | + | 0.0134531i | ||||
\(582\) | −21.5352 | − | 19.1541i | −0.892665 | − | 0.793962i | ||||
\(583\) | 1.38544 | − | 0.799884i | 0.0573790 | − | 0.0331278i | ||||
\(584\) | −31.3422 | + | 20.2684i | −1.29695 | + | 0.838711i | ||||
\(585\) | −38.2916 | − | 38.5979i | −1.58316 | − | 1.59583i | ||||
\(586\) | −9.83850 | − | 20.2047i | −0.406425 | − | 0.834650i | ||||
\(587\) | −9.93836 | + | 37.0905i | −0.410200 | + | 1.53089i | 0.384059 | + | 0.923309i | \(0.374526\pi\) |
−0.794259 | + | 0.607579i | \(0.792141\pi\) | |||||||
\(588\) | −9.57955 | − | 0.114953i | −0.395054 | − | 0.00474058i | ||||
\(589\) | 0.439521 | + | 1.64031i | 0.0181101 | + | 0.0675879i | ||||
\(590\) | 10.6319 | + | 12.2464i | 0.437707 | + | 0.504176i | ||||
\(591\) | −12.5025 | + | 16.2266i | −0.514285 | + | 0.667471i | ||||
\(592\) | −4.34955 | − | 0.0870653i | −0.178766 | − | 0.00357836i | ||||
\(593\) | 7.39166 | 0.303539 | 0.151770 | − | 0.988416i | \(-0.451503\pi\) | ||||
0.151770 | + | 0.988416i | \(0.451503\pi\) | |||||||
\(594\) | 1.05613 | + | 3.22725i | 0.0433336 | + | 0.132416i | ||||
\(595\) | 0.199233 | − | 0.199233i | 0.00816776 | − | 0.00816776i | ||||
\(596\) | −32.2751 | + | 24.2563i | −1.32204 | + | 0.993576i | ||||
\(597\) | −26.8679 | + | 3.48280i | −1.09963 | + | 0.142541i | ||||
\(598\) | 75.5419 | + | 5.33101i | 3.08914 | + | 0.218001i | ||||
\(599\) | 22.9017 | + | 13.2223i | 0.935739 | + | 0.540249i | 0.888622 | − | 0.458640i | \(-0.151663\pi\) |
0.0471171 | + | 0.998889i | \(0.484997\pi\) | |||||||
\(600\) | −7.46272 | + | 20.8149i | −0.304664 | + | 0.849764i | ||||
\(601\) | −33.6284 | + | 19.4154i | −1.37173 | + | 0.791970i | −0.991146 | − | 0.132775i | \(-0.957611\pi\) |
−0.380587 | + | 0.924745i | \(0.624278\pi\) | |||||||
\(602\) | −29.9584 | + | 14.5880i | −1.22101 | + | 0.594561i | ||||
\(603\) | −8.52401 | − | 14.9008i | −0.347125 | − | 0.606808i | ||||
\(604\) | −5.50713 | + | 7.03022i | −0.224082 | + | 0.286056i | ||||
\(605\) | 32.1364 | + | 8.61091i | 1.30653 | + | 0.350083i | ||||
\(606\) | −0.837446 | − | 14.3102i | −0.0340189 | − | 0.581313i | ||||
\(607\) | 1.86964 | − | 3.23831i | 0.0758863 | − | 0.131439i | −0.825585 | − | 0.564278i | \(-0.809155\pi\) |
0.901471 | + | 0.432839i | \(0.142488\pi\) | |||||||
\(608\) | −8.72839 | + | 1.51026i | −0.353983 | + | 0.0612489i | ||||
\(609\) | 9.77592 | + | 23.7348i | 0.396140 | + | 0.961782i | ||||
\(610\) | −1.01993 | − | 5.26510i | −0.0412959 | − | 0.213178i | ||||
\(611\) | 10.1753 | − | 10.1753i | 0.411648 | − | 0.411648i | ||||
\(612\) | 0.213560 | − | 0.159173i | 0.00863263 | − | 0.00643418i | ||||
\(613\) | −4.21378 | − | 4.21378i | −0.170193 | − | 0.170193i | 0.616871 | − | 0.787064i | \(-0.288400\pi\) |
−0.787064 | + | 0.616871i | \(0.788400\pi\) | |||||||
\(614\) | 12.2169 | + | 8.25178i | 0.493034 | + | 0.333015i | ||||
\(615\) | 4.71784 | − | 35.2921i | 0.190242 | − | 1.42312i | ||||
\(616\) | −1.80346 | + | 1.99522i | −0.0726635 | + | 0.0803899i | ||||
\(617\) | −19.3833 | − | 11.1910i | −0.780343 | − | 0.450531i | 0.0562088 | − | 0.998419i | \(-0.482099\pi\) |
−0.836552 | + | 0.547888i | \(0.815432\pi\) | |||||||
\(618\) | 3.14912 | + | 0.649332i | 0.126676 | + | 0.0261200i | ||||
\(619\) | −4.10361 | + | 15.3149i | −0.164938 | + | 0.615557i | 0.833110 | + | 0.553107i | \(0.186558\pi\) |
−0.998048 | + | 0.0624496i | \(0.980109\pi\) | |||||||
\(620\) | 0.806794 | + | 6.64110i | 0.0324016 | + | 0.266713i | ||||
\(621\) | 6.46164 | − | 46.9129i | 0.259297 | − | 1.88255i | ||||
\(622\) | 3.32026 | − | 9.62271i | 0.133130 | − | 0.385836i | ||||
\(623\) | −5.45314 | − | 9.44511i | −0.218475 | − | 0.378410i | ||||
\(624\) | 16.4021 | − | 37.2575i | 0.656611 | − | 1.49149i | ||||
\(625\) | −13.5976 | + | 23.5518i | −0.543905 | + | 0.942071i | ||||
\(626\) | −9.88290 | − | 11.3837i | −0.395000 | − | 0.454984i | ||||
\(627\) | 0.995826 | − | 0.760977i | 0.0397694 | − | 0.0303905i | ||||
\(628\) | 19.7969 | + | 26.3415i | 0.789982 | + | 1.05114i | ||||
\(629\) | −0.0341399 | − | 0.0341399i | −0.00136125 | − | 0.00136125i | ||||
\(630\) | −25.4203 | − | 8.88460i | −1.01277 | − | 0.353971i | ||||
\(631\) | 38.2887i | 1.52425i | 0.647429 | + | 0.762125i | \(0.275844\pi\) | ||||
−0.647429 | + | 0.762125i | \(0.724156\pi\) | |||||||
\(632\) | 8.93068 | − | 17.4445i | 0.355243 | − | 0.693906i | ||||
\(633\) | 30.9926 | − | 12.7653i | 1.23185 | − | 0.507374i | ||||
\(634\) | −1.49647 | + | 21.2054i | −0.0594326 | + | 0.842176i | ||||
\(635\) | −31.6922 | + | 8.49189i | −1.25767 | + | 0.336990i | ||||
\(636\) | −3.24273 | + | 11.5460i | −0.128582 | + | 0.457830i | ||||
\(637\) | −15.6960 | − | 4.20574i | −0.621900 | − | 0.166638i | ||||
\(638\) | −4.44911 | − | 1.53514i | −0.176142 | − | 0.0607767i | ||||
\(639\) | 5.26692 | + | 19.9744i | 0.208356 | + | 0.790175i | ||||
\(640\) | −34.8801 | + | 1.06154i | −1.37876 | + | 0.0419611i | ||||
\(641\) | −8.82135 | − | 15.2790i | −0.348422 | − | 0.603485i | 0.637547 | − | 0.770412i | \(-0.279949\pi\) |
−0.985969 | + | 0.166926i | \(0.946616\pi\) | |||||||
\(642\) | −9.07042 | − | 4.55220i | −0.357981 | − | 0.179661i | ||||
\(643\) | 7.49737 | + | 27.9805i | 0.295667 | + | 1.10345i | 0.940686 | + | 0.339278i | \(0.110183\pi\) |
−0.645019 | + | 0.764167i | \(0.723150\pi\) | |||||||
\(644\) | 34.7943 | − | 14.0060i | 1.37109 | − | 0.551914i | ||||
\(645\) | 60.6634 | − | 7.86358i | 2.38862 | − | 0.309628i | ||||
\(646\) | −0.0814652 | − | 0.0550249i | −0.00320520 | − | 0.00216492i | ||||
\(647\) | − | 5.73725i | − | 0.225555i | −0.993620 | − | 0.112777i | \(-0.964025\pi\) | ||
0.993620 | − | 0.112777i | \(-0.0359747\pi\) | |||||||
\(648\) | −22.5659 | − | 11.7804i | −0.886473 | − | 0.462779i | ||||
\(649\) | − | 1.71802i | − | 0.0674380i | ||||||
\(650\) | −20.9931 | + | 31.0806i | −0.823417 | + | 1.21908i | ||||
\(651\) | −3.83317 | + | 0.496880i | −0.150234 | + | 0.0194742i | ||||
\(652\) | −5.80985 | + | 13.6386i | −0.227531 | + | 0.534127i | ||||
\(653\) | 10.0743 | + | 37.5980i | 0.394239 | + | 1.47132i | 0.823072 | + | 0.567938i | \(0.192259\pi\) |
−0.428832 | + | 0.903384i | \(0.641075\pi\) | |||||||
\(654\) | 17.8990 | − | 35.6645i | 0.699907 | − | 1.39459i | ||||
\(655\) | 29.6942 | + | 51.4318i | 1.16025 | + | 2.00961i | ||||
\(656\) | 25.8839 | − | 6.38322i | 1.01060 | − | 0.249223i | ||||
\(657\) | 10.0939 | + | 38.2805i | 0.393802 | + | 1.49346i | ||||
\(658\) | 2.32467 | − | 6.73732i | 0.0906251 | − | 0.262648i | ||||
\(659\) | −38.3072 | − | 10.2644i | −1.49224 | − | 0.399844i | −0.581745 | − | 0.813371i | \(-0.697630\pi\) |
−0.910492 | + | 0.413528i | \(0.864297\pi\) | |||||||
\(660\) | 4.30517 | − | 2.41718i | 0.167579 | − | 0.0940888i | ||||
\(661\) | 5.49909 | − | 1.47348i | 0.213890 | − | 0.0573116i | −0.150283 | − | 0.988643i | \(-0.548018\pi\) |
0.364173 | + | 0.931331i | \(0.381352\pi\) | |||||||
\(662\) | 35.6089 | + | 2.51293i | 1.38398 | + | 0.0976678i | ||||
\(663\) | 0.417734 | − | 0.172057i | 0.0162234 | − | 0.00668214i | ||||
\(664\) | 0.529015 | + | 1.63885i | 0.0205298 | + | 0.0635995i | ||||
\(665\) | 9.93883i | 0.385411i | ||||||||
\(666\) | −1.52244 | + | 4.35593i | −0.0589932 | + | 0.168789i | ||||
\(667\) | 46.4121 | + | 46.4121i | 1.79708 | + | 1.79708i | ||||
\(668\) | 25.8317 | + | 3.66415i | 0.999458 | + | 0.141770i | ||||
\(669\) | −5.71933 | + | 4.37052i | −0.221122 | + | 0.168974i | ||||
\(670\) | −18.8484 | + | 16.3635i | −0.728176 | + | 0.632175i | ||||
\(671\) | −0.284064 | + | 0.492013i | −0.0109662 | + | 0.0189940i | ||||
\(672\) | −0.774831 | − | 20.1471i | −0.0298898 | − | 0.777190i | ||||
\(673\) | −2.23206 | − | 3.86604i | −0.0860396 | − | 0.149025i | 0.819794 | − | 0.572658i | \(-0.194088\pi\) |
−0.905834 | + | 0.423633i | \(0.860754\pi\) | |||||||
\(674\) | 4.81855 | + | 1.66261i | 0.185604 | + | 0.0640414i | ||||
\(675\) | 18.5213 | + | 14.3886i | 0.712886 | + | 0.553817i | ||||
\(676\) | 26.5464 | − | 33.8883i | 1.02102 | − | 1.30340i | ||||
\(677\) | 2.16066 | − | 8.06369i | 0.0830409 | − | 0.309913i | −0.911895 | − | 0.410423i | \(-0.865381\pi\) |
0.994936 | + | 0.100511i | \(0.0320476\pi\) | |||||||
\(678\) | 3.75204 | − | 18.1966i | 0.144096 | − | 0.698835i | ||||
\(679\) | −20.9681 | − | 12.1060i | −0.804683 | − | 0.464584i | ||||
\(680\) | −0.287306 | − | 0.259693i | −0.0110177 | − | 0.00995876i | ||||
\(681\) | 1.48017 | − | 11.0725i | 0.0567203 | − | 0.424300i | ||||
\(682\) | 0.396676 | − | 0.587284i | 0.0151895 | − | 0.0224883i | ||||
\(683\) | 3.00972 | + | 3.00972i | 0.115164 | + | 0.115164i | 0.762340 | − | 0.647177i | \(-0.224050\pi\) |
−0.647177 | + | 0.762340i | \(0.724050\pi\) | |||||||
\(684\) | −1.35655 | + | 9.29697i | −0.0518691 | + | 0.355478i | ||||
\(685\) | −20.9082 | + | 20.9082i | −0.798863 | + | 0.798863i | ||||
\(686\) | −27.9004 | + | 5.40475i | −1.06524 | + | 0.206354i | ||||
\(687\) | 6.40550 | + | 15.5518i | 0.244385 | + | 0.593338i | ||||
\(688\) | 22.1019 | + | 40.1148i | 0.842627 | + | 1.52936i | ||||
\(689\) | −10.1709 | + | 17.6165i | −0.387480 | + | 0.671135i | ||||
\(690\) | −68.7382 | + | 4.02262i | −2.61682 | + | 0.153138i | ||||
\(691\) | −28.5847 | − | 7.65924i | −1.08741 | − | 0.291371i | −0.329783 | − | 0.944057i | \(-0.606976\pi\) |
−0.757629 | + | 0.652686i | \(0.773642\pi\) | |||||||
\(692\) | −2.85232 | + | 0.346514i | −0.108429 | + | 0.0131725i | ||||
\(693\) | 1.41647 | + | 2.47612i | 0.0538071 | + | 0.0940601i | ||||
\(694\) | 9.88662 | + | 20.3036i | 0.375291 | + | 0.770713i | ||||
\(695\) | 18.8453 | − | 10.8804i | 0.714844 | − | 0.412715i | ||||
\(696\) | 31.9047 | − | 15.0648i | 1.20935 | − | 0.571031i | ||||
\(697\) | 0.256228 | + | 0.147933i | 0.00970532 | + | 0.00560337i | ||||
\(698\) | 1.55965 | − | 22.1007i | 0.0590337 | − | 0.836524i | ||||
\(699\) | 38.1490 | − | 4.94511i | 1.44293 | − | 0.187041i | ||||
\(700\) | −2.60885 | + | 18.3920i | −0.0986052 | + | 0.695152i | ||||
\(701\) | −1.29990 | + | 1.29990i | −0.0490966 | + | 0.0490966i | −0.731229 | − | 0.682132i | \(-0.761053\pi\) |
0.682132 | + | 0.731229i | \(0.261053\pi\) | |||||||
\(702\) | −32.1480 | − | 28.8236i | −1.21335 | − | 1.08788i | ||||
\(703\) | 1.70309 | 0.0642331 | ||||||||
\(704\) | 2.86395 | + | 2.33745i | 0.107939 | + | 0.0880960i | ||||
\(705\) | −7.98559 | + | 10.3642i | −0.300755 | + | 0.390339i | ||||
\(706\) | −4.39077 | + | 3.81191i | −0.165249 | + | 0.143463i | ||||
\(707\) | −3.11678 | − | 11.6320i | −0.117219 | − | 0.437466i | ||||
\(708\) | 8.99705 | + | 9.21560i | 0.338130 | + | 0.346343i | ||||
\(709\) | 9.80720 | − | 36.6010i | 0.368317 | − | 1.37458i | −0.494551 | − | 0.869149i | \(-0.664667\pi\) |
0.862868 | − | 0.505429i | \(-0.168666\pi\) | |||||||
\(710\) | 27.0043 | − | 13.1495i | 1.01345 | − | 0.493491i | ||||
\(711\) | −14.6396 | − | 14.7567i | −0.549027 | − | 0.553419i | ||||
\(712\) | −12.5880 | + | 8.14040i | −0.471755 | + | 0.305074i | ||||
\(713\) | −8.55933 | + | 4.94173i | −0.320550 | + | 0.185069i | ||||
\(714\) | 0.148707 | − | 0.167194i | 0.00556522 | − | 0.00625707i | ||||
\(715\) | 8.08922 | − | 2.16750i | 0.302520 | − | 0.0810599i | ||||
\(716\) | 2.77978 | − | 6.52550i | 0.103885 | − | 0.243869i | ||||
\(717\) | 12.8782 | + | 5.36438i | 0.480943 | + | 0.200337i | ||||
\(718\) | 28.0322 | − | 5.43028i | 1.04615 | − | 0.202656i | ||||
\(719\) | 5.11125 | 0.190617 | 0.0953087 | − | 0.995448i | \(-0.469616\pi\) | ||||
0.0953087 | + | 0.995448i | \(0.469616\pi\) | |||||||
\(720\) | −10.4348 | + | 35.5117i | −0.388883 | + | 1.32344i | ||||
\(721\) | 2.70117 | 0.100597 | ||||||||
\(722\) | −22.9752 | + | 4.45067i | −0.855049 | + | 0.165637i | ||||
\(723\) | 13.9729 | − | 10.6776i | 0.519658 | − | 0.397105i | ||||
\(724\) | −28.3102 | − | 12.0598i | −1.05214 | − | 0.448198i | ||||
\(725\) | −31.3997 | + | 8.41353i | −1.16616 | + | 0.312471i | ||||
\(726\) | 25.8770 | + | 5.33570i | 0.960385 | + | 0.198027i | ||||
\(727\) | −18.6355 | + | 10.7592i | −0.691154 | + | 0.399038i | −0.804044 | − | 0.594570i | \(-0.797322\pi\) |
0.112890 | + | 0.993607i | \(0.463989\pi\) | |||||||
\(728\) | 7.17444 | − | 33.4371i | 0.265902 | − | 1.23926i | ||||
\(729\) | −19.3187 | + | 18.8623i | −0.715508 | + | 0.698605i | ||||
\(730\) | 51.7531 | − | 25.2007i | 1.91547 | − | 0.932719i | ||||
\(731\) | −0.131557 | + | 0.490976i | −0.00486580 | + | 0.0181594i | ||||
\(732\) | −1.05287 | − | 4.12681i | −0.0389152 | − | 0.152531i | ||||
\(733\) | −0.799079 | − | 2.98220i | −0.0295147 | − | 0.110150i | 0.949597 | − | 0.313473i | \(-0.101493\pi\) |
−0.979112 | + | 0.203323i | \(0.934826\pi\) | |||||||
\(734\) | −24.0063 | + | 20.8414i | −0.886090 | + | 0.769271i | ||||
\(735\) | 14.6445 | + | 1.95767i | 0.540169 | + | 0.0722096i | ||||
\(736\) | −21.6382 | − | 46.7937i | −0.797593 | − | 1.72484i | ||||
\(737\) | 2.64419 | 0.0973999 | ||||||||
\(738\) | 2.10289 | − | 28.1982i | 0.0774086 | − | 1.03799i | ||||
\(739\) | 23.9990 | − | 23.9990i | 0.882818 | − | 0.882818i | −0.111002 | − | 0.993820i | \(-0.535406\pi\) |
0.993820 | + | 0.111002i | \(0.0354060\pi\) | |||||||
\(740\) | 6.64277 | + | 0.942257i | 0.244193 | + | 0.0346381i | ||||
\(741\) | −6.12786 | + | 14.7110i | −0.225112 | + | 0.540422i | ||||
\(742\) | −0.709223 | + | 10.0499i | −0.0260364 | + | 0.368943i | ||||
\(743\) | 14.4499 | + | 8.34266i | 0.530116 | + | 0.306062i | 0.741064 | − | 0.671435i | \(-0.234322\pi\) |
−0.210948 | + | 0.977497i | \(0.567655\pi\) | |||||||
\(744\) | 0.947734 | + | 5.22759i | 0.0347456 | + | 0.191653i | ||||
\(745\) | 53.9230 | − | 31.1325i | 1.97559 | − | 1.14061i | ||||
\(746\) | −16.4438 | − | 33.7697i | −0.602051 | − | 1.23640i | ||||
\(747\) | 1.82656 | + | 0.00727726i | 0.0668304 | + | 0.000266261i | ||||
\(748\) | 0.00494772 | + | 0.0407271i | 0.000180907 | + | 0.00148913i | ||||
\(749\) | −8.23519 | − | 2.20661i | −0.300907 | − | 0.0806278i | ||||
\(750\) | −1.64822 | + | 3.28414i | −0.0601845 | + | 0.119920i | ||||
\(751\) | 17.1635 | − | 29.7281i | 0.626305 | − | 1.08479i | −0.361982 | − | 0.932185i | \(-0.617900\pi\) |
0.988287 | − | 0.152607i | \(-0.0487669\pi\) | |||||||
\(752\) | −9.40983 | − | 2.72433i | −0.343141 | − | 0.0993460i | ||||
\(753\) | 16.5472 | − | 21.4760i | 0.603012 | − | 0.782628i | ||||
\(754\) | 58.7531 | − | 11.3814i | 2.13966 | − | 0.414487i | ||||
\(755\) | 9.73869 | − | 9.73869i | 0.354427 | − | 0.354427i | ||||
\(756\) | −20.5652 | − | 5.86428i | −0.747950 | − | 0.213282i | ||||
\(757\) | −24.0162 | − | 24.0162i | −0.872884 | − | 0.872884i | 0.119902 | − | 0.992786i | \(-0.461742\pi\) |
−0.992786 | + | 0.119902i | \(0.961742\pi\) | |||||||
\(758\) | 7.42061 | − | 10.9863i | 0.269529 | − | 0.399041i | ||||
\(759\) | 5.77806 | + | 4.45198i | 0.209730 | + | 0.161596i | ||||
\(760\) | 13.6437 | − | 0.688757i | 0.494907 | − | 0.0249838i | ||||
\(761\) | 13.2713 | + | 7.66221i | 0.481086 | + | 0.277755i | 0.720869 | − | 0.693072i | \(-0.243743\pi\) |
−0.239783 | + | 0.970826i | \(0.577076\pi\) | |||||||
\(762\) | −24.7313 | + | 8.20267i | −0.895922 | + | 0.297151i | ||||
\(763\) | 8.67629 | − | 32.3804i | 0.314103 | − | 1.17225i | ||||
\(764\) | 20.7583 | + | 16.2610i | 0.751010 | + | 0.588303i | ||||
\(765\) | −0.356554 | + | 0.203967i | −0.0128912 | + | 0.00737444i | ||||
\(766\) | 5.31813 | + | 1.83499i | 0.192152 | + | 0.0663009i | ||||
\(767\) | 10.9227 | + | 18.9186i | 0.394395 | + | 0.683112i | ||||
\(768\) | −27.6034 | + | 2.45984i | −0.996053 | + | 0.0887619i | ||||
\(769\) | 20.6394 | − | 35.7485i | 0.744276 | − | 1.28912i | −0.206256 | − | 0.978498i | \(-0.566128\pi\) |
0.950532 | − | 0.310626i | \(-0.100539\pi\) | |||||||
\(770\) | 3.13210 | − | 2.71917i | 0.112873 | − | 0.0979923i | ||||
\(771\) | 33.1952 | + | 13.8274i | 1.19550 | + | 0.497983i | ||||
\(772\) | −4.89750 | + | 34.5267i | −0.176265 | + | 1.24264i | ||||
\(773\) | 36.3711 | + | 36.3711i | 1.30818 | + | 1.30818i | 0.922730 | + | 0.385448i | \(0.125953\pi\) |
0.385448 | + | 0.922730i | \(0.374047\pi\) | |||||||
\(774\) | 47.7287 | − | 9.04866i | 1.71557 | − | 0.325247i | ||||
\(775\) | − | 4.89492i | − | 0.175831i | ||||||
\(776\) | −15.1655 | + | 29.6232i | −0.544410 | + | 1.06341i | ||||
\(777\) | −0.513628 | + | 3.84223i | −0.0184263 | + | 0.137839i | ||||
\(778\) | 6.64131 | + | 0.468679i | 0.238103 | + | 0.0168030i | ||||
\(779\) | −10.0809 | + | 2.70117i | −0.361185 | + | 0.0967793i | ||||
\(780\) | −32.0404 | + | 53.9889i | −1.14723 | + | 1.93311i | ||||
\(781\) | −3.07342 | − | 0.823519i | −0.109975 | − | 0.0294678i | ||||
\(782\) | 0.186621 | − | 0.540861i | 0.00667355 | − | 0.0193412i | ||||
\(783\) | −4.66284 | − | 37.1312i | −0.166636 | − | 1.32696i | ||||
\(784\) | 2.64872 | + | 10.7405i | 0.0945970 | + | 0.383590i | ||||
\(785\) | −25.4089 | − | 44.0096i | −0.906883 | − | 1.57077i | ||||
\(786\) | 25.9275 | + | 39.3971i | 0.924803 | + | 1.40525i | ||||
\(787\) | −7.98650 | − | 29.8060i | −0.284688 | − | 1.06247i | −0.949067 | − | 0.315074i | \(-0.897971\pi\) |
0.664379 | − | 0.747396i | \(-0.268696\pi\) | |||||||
\(788\) | 21.7613 | + | 9.27001i | 0.775213 | + | 0.330230i | ||||
\(789\) | 11.0924 | + | 14.5157i | 0.394900 | + | 0.516772i | ||||
\(790\) | −16.9169 | + | 25.0458i | −0.601877 | + | 0.891089i | ||||
\(791\) | − | 15.6082i | − | 0.554963i | ||||||
\(792\) | 3.30097 | − | 2.11607i | 0.117295 | − | 0.0751911i | ||||
\(793\) | − | 7.22401i | − | 0.256532i | ||||||
\(794\) | −30.0580 | − | 20.3024i | −1.06672 | − | 0.720504i | ||||
\(795\) | 7.11188 | − | 17.0733i | 0.252232 | − | 0.605528i | ||||
\(796\) | 11.6820 | + | 29.0210i | 0.414059 | + | 1.02862i | ||||
\(797\) | 6.90917 | + | 25.7854i | 0.244735 | + | 0.913364i | 0.973516 | + | 0.228617i | \(0.0734205\pi\) |
−0.728781 | + | 0.684747i | \(0.759913\pi\) | |||||||
\(798\) | 0.461111 | + | 7.87944i | 0.0163232 | + | 0.278929i | ||||
\(799\) | −0.0543596 | − | 0.0941536i | −0.00192311 | − | 0.00333092i | ||||
\(800\) | 25.4286 | + | 2.30677i | 0.899037 | + | 0.0815566i | ||||
\(801\) | 4.05403 | + | 15.3746i | 0.143242 | + | 0.543235i | ||||
\(802\) | −6.61819 | − | 2.28357i | −0.233697 | − | 0.0806356i | ||||
\(803\) | −5.89013 | − | 1.57826i | −0.207858 | − | 0.0556954i | ||||
\(804\) | −14.1837 | + | 13.8473i | −0.500219 | + | 0.488357i | ||||
\(805\) | −55.8735 | + | 14.9712i | −1.96928 | + | 0.527667i | ||||
\(806\) | −0.634361 | + | 8.98908i | −0.0223444 | + | 0.316627i | ||||
\(807\) | 1.02809 | + | 0.792137i | 0.0361904 | + | 0.0278846i | ||||
\(808\) | −15.7520 | + | 5.08469i | −0.554152 | + | 0.178879i | ||||
\(809\) | 41.9379i | 1.47446i | 0.675644 | + | 0.737228i | \(0.263866\pi\) | ||||
−0.675644 | + | 0.737228i | \(0.736134\pi\) | |||||||
\(810\) | 32.3564 | + | 22.2323i | 1.13689 | + | 0.781163i | ||||
\(811\) | 0.250947 | + | 0.250947i | 0.00881196 | + | 0.00881196i | 0.711499 | − | 0.702687i | \(-0.248017\pi\) |
−0.702687 | + | 0.711499i | \(0.748017\pi\) | |||||||
\(812\) | 23.6946 | − | 17.8076i | 0.831517 | − | 0.624925i | ||||
\(813\) | −3.19917 | − | 24.6799i | −0.112200 | − | 0.865562i | ||||
\(814\) | −0.465949 | − | 0.536706i | −0.0163315 | − | 0.0188116i | ||||
\(815\) | 11.4312 | − | 19.7994i | 0.400418 | − | 0.693544i | ||||
\(816\) | −0.239823 | − | 0.192553i | −0.00839548 | − | 0.00674070i | ||||
\(817\) | −8.96490 | − | 15.5277i | −0.313642 | − | 0.543244i | ||||
\(818\) | 6.62548 | − | 19.2018i | 0.231654 | − | 0.671377i | ||||
\(819\) | −31.3405 | − | 18.2613i | −1.09513 | − | 0.638102i | ||||
\(820\) | −40.8143 | + | 4.95832i | −1.42530 | + | 0.173152i | ||||
\(821\) | −5.03635 | + | 18.7959i | −0.175770 | + | 0.655982i | 0.820650 | + | 0.571432i | \(0.193612\pi\) |
−0.996419 | + | 0.0845497i | \(0.973055\pi\) | |||||||
\(822\) | −15.6059 | + | 17.5459i | −0.544317 | + | 0.611985i | ||||
\(823\) | −34.7295 | − | 20.0511i | −1.21059 | − | 0.698936i | −0.247705 | − | 0.968836i | \(-0.579676\pi\) |
−0.962889 | + | 0.269899i | \(0.913010\pi\) | |||||||
\(824\) | −0.187190 | − | 3.70806i | −0.00652107 | − | 0.129176i | ||||
\(825\) | −3.34033 | + | 1.37582i | −0.116295 | + | 0.0478999i | ||||
\(826\) | 8.96597 | + | 6.05598i | 0.311966 | + | 0.210714i | ||||
\(827\) | −39.0429 | − | 39.0429i | −1.35765 | − | 1.35765i | −0.876801 | − | 0.480853i | \(-0.840327\pi\) |
−0.480853 | − | 0.876801i | \(-0.659673\pi\) | |||||||
\(828\) | −54.3085 | + | 6.37820i | −1.88735 | + | 0.221658i | ||||
\(829\) | −18.5103 | + | 18.5103i | −0.642891 | + | 0.642891i | −0.951265 | − | 0.308374i | \(-0.900215\pi\) |
0.308374 | + | 0.951265i | \(0.400215\pi\) | |||||||
\(830\) | −0.505092 | − | 2.60739i | −0.0175320 | − | 0.0905037i | ||||
\(831\) | −14.5665 | − | 1.94724i | −0.505306 | − | 0.0675491i | ||||
\(832\) | −46.3984 | − | 7.53161i | −1.60858 | − | 0.261112i | ||||
\(833\) | −0.0613849 | + | 0.106322i | −0.00212686 | + | 0.00368383i | ||||
\(834\) | 14.4357 | − | 9.50020i | 0.499866 | − | 0.328965i | ||||
\(835\) | −38.8656 | − | 10.4140i | −1.34500 | − | 0.360392i | ||||
\(836\) | −1.13925 | − | 0.892435i | −0.0394019 | − | 0.0308655i | ||||
\(837\) | 5.58238 | + | 0.768900i | 0.192955 | + | 0.0265771i | ||||
\(838\) | 32.1524 | − | 15.6563i | 1.11069 | − | 0.540837i | ||||
\(839\) | 9.12331 | − | 5.26735i | 0.314972 | − | 0.181849i | −0.334177 | − | 0.942510i | \(-0.608458\pi\) |
0.649149 | + | 0.760661i | \(0.275125\pi\) | |||||||
\(840\) | −2.56088 | + | 30.9883i | −0.0883587 | + | 1.06920i | ||||
\(841\) | 19.8053 | + | 11.4346i | 0.682942 | + | 0.394297i | ||||
\(842\) | 7.25638 | + | 0.512085i | 0.250072 | + | 0.0176476i | ||||
\(843\) | −7.55121 | − | 9.88163i | −0.260078 | − | 0.340341i | ||||
\(844\) | −23.2530 | − | 30.9401i | −0.800401 | − | 1.06500i | ||||
\(845\) | −46.9442 | + | 46.9442i | −1.61493 | + | 1.61493i | ||||
\(846\) | −5.85007 | + | 8.58717i | −0.201130 | + | 0.295233i | ||||
\(847\) | 22.1961 | 0.762667 | ||||||||
\(848\) | 13.8453 | + | 0.277141i | 0.475448 | + | 0.00951707i | ||||
\(849\) | 10.1628 | + | 24.6741i | 0.348787 | + | 0.846812i | ||||
\(850\) | 0.185768 | + | 0.213978i | 0.00637179 | + | 0.00733939i | ||||
\(851\) | 2.56542 | + | 9.57429i | 0.0879416 | + | 0.328203i | ||||
\(852\) | 20.7988 | − | 11.6777i | 0.712554 | − | 0.400071i | ||||
\(853\) | 8.50035 | − | 31.7237i | 0.291046 | − | 1.08620i | −0.653260 | − | 0.757133i | \(-0.726599\pi\) |
0.944307 | − | 0.329067i | \(-0.106734\pi\) | |||||||
\(854\) | −1.56639 | − | 3.21681i | −0.0536009 | − | 0.110077i | ||||
\(855\) | 3.80594 | − | 13.9809i | 0.130161 | − | 0.478138i | ||||
\(856\) | −2.45846 | + | 11.4579i | −0.0840283 | + | 0.391622i | ||||
\(857\) | 32.9302 | − | 19.0123i | 1.12487 | − | 0.649447i | 0.182234 | − | 0.983255i | \(-0.441667\pi\) |
0.942641 | + | 0.333808i | \(0.108334\pi\) | |||||||
\(858\) | 6.31251 | − | 2.09368i | 0.215506 | − | 0.0714770i | ||||
\(859\) | −41.8849 | + | 11.2230i | −1.42910 | + | 0.382925i | −0.888701 | − | 0.458487i | \(-0.848392\pi\) |
−0.540395 | + | 0.841412i | \(0.681725\pi\) | |||||||
\(860\) | −26.3761 | − | 65.5246i | −0.899418 | − | 2.23437i | ||||
\(861\) | −3.05368 | − | 23.5575i | −0.104069 | − | 0.802838i | ||||
\(862\) | 5.40365 | + | 27.8947i | 0.184049 | + | 0.950097i | ||||
\(863\) | −19.8437 | −0.675487 | −0.337744 | − | 0.941238i | \(-0.609664\pi\) | ||||
−0.337744 | + | 0.941238i | \(0.609664\pi\) | |||||||
\(864\) | −6.62510 | + | 28.6375i | −0.225390 | + | 0.974269i | ||||
\(865\) | 4.43121 | 0.150666 | ||||||||
\(866\) | 5.87027 | + | 30.3035i | 0.199480 | + | 1.02975i | ||||
\(867\) | 3.78473 | + | 29.1972i | 0.128536 | + | 0.991588i | ||||
\(868\) | 1.66664 | + | 4.14033i | 0.0565694 | + | 0.140532i | ||||
\(869\) | 3.09266 | − | 0.828675i | 0.104911 | − | 0.0281109i | ||||
\(870\) | −51.6465 | + | 17.1297i | −1.75098 | + | 0.580750i | ||||
\(871\) | −29.1176 | + | 16.8110i | −0.986611 | + | 0.569620i | ||||
\(872\) | −45.0518 | − | 9.66654i | −1.52565 | − | 0.327350i | ||||
\(873\) | 24.8600 | + | 25.0589i | 0.841384 | + | 0.848115i | ||||
\(874\) | 8.83573 | + | 18.1454i | 0.298873 | + | 0.613778i | ||||
\(875\) | −0.798951 | + | 2.98173i | −0.0270095 | + | 0.100801i | ||||
\(876\) | 39.8603 | − | 22.3800i | 1.34676 | − | 0.756150i | ||||
\(877\) | −13.2670 | − | 49.5131i | −0.447995 | − | 1.67194i | −0.707906 | − | 0.706307i | \(-0.750360\pi\) |
0.259911 | − | 0.965633i | \(-0.416307\pi\) | |||||||
\(878\) | 27.5724 | + | 31.7595i | 0.930525 | + | 1.07183i | ||||
\(879\) | 10.4821 | + | 25.4493i | 0.353552 | + | 0.858384i | ||||
\(880\) | −3.94983 | − | 4.11119i | −0.133149 | − | 0.138588i | ||||
\(881\) | −31.7902 | −1.07104 | −0.535519 | − | 0.844523i | \(-0.679884\pi\) | ||||
−0.535519 | + | 0.844523i | \(0.679884\pi\) | |||||||
\(882\) | 11.7009 | + | 0.872595i | 0.393988 | + | 0.0293818i | ||||
\(883\) | 28.7423 | − | 28.7423i | 0.967255 | − | 0.967255i | −0.0322259 | − | 0.999481i | \(-0.510260\pi\) |
0.999481 | + | 0.0322259i | \(0.0102596\pi\) | |||||||
\(884\) | −0.313415 | − | 0.417026i | −0.0105413 | − | 0.0140261i | ||||
\(885\) | −12.0601 | − | 15.7820i | −0.405395 | − | 0.530506i | ||||
\(886\) | −49.3909 | − | 3.48553i | −1.65932 | − | 0.117099i | ||||
\(887\) | −23.1996 | − | 13.3943i | −0.778966 | − | 0.449736i | 0.0570976 | − | 0.998369i | \(-0.481815\pi\) |
−0.836064 | + | 0.548632i | \(0.815149\pi\) | |||||||
\(888\) | 5.31006 | + | 0.438824i | 0.178194 | + | 0.0147260i | ||||
\(889\) | −18.9567 | + | 10.9447i | −0.635787 | + | 0.367072i | ||||
\(890\) | 20.7856 | − | 10.1214i | 0.696736 | − | 0.339269i | ||||
\(891\) | −1.04434 | − | 4.02557i | −0.0349868 | − | 0.134862i | ||||
\(892\) | 6.54309 | + | 5.12553i | 0.219079 | + | 0.171615i | ||||
\(893\) | 3.70433 | + | 0.992572i | 0.123961 | + | 0.0332151i | ||||
\(894\) | 41.3054 | − | 27.1834i | 1.38146 | − | 0.909147i | ||||
\(895\) | −5.46938 | + | 9.47324i | −0.182821 | + | 0.316655i | ||||
\(896\) | −22.2940 | + | 6.70686i | −0.744792 | + | 0.224060i | ||||
\(897\) | −91.9319 | − | 12.2894i | −3.06952 | − | 0.410332i | ||||
\(898\) | 7.44484 | + | 38.4318i | 0.248438 | + | 1.28248i | ||||
\(899\) | −5.52278 | + | 5.52278i | −0.184195 | + | 0.184195i | ||||
\(900\) | 10.7128 | − | 24.8729i | 0.357094 | − | 0.829098i | ||||
\(901\) | 0.108672 | + | 0.108672i | 0.00362040 | + | 0.00362040i | ||||
\(902\) | 3.60928 | + | 2.43785i | 0.120176 | + | 0.0811716i | ||||
\(903\) | 37.7347 | − | 15.5422i | 1.25573 | − | 0.517213i | ||||
\(904\) | −21.4263 | + | 1.08164i | −0.712629 | + | 0.0359749i | ||||
\(905\) | 41.0986 | + | 23.7283i | 1.36616 | + | 0.788756i | ||||
\(906\) | 7.26894 | − | 8.17259i | 0.241494 | − | 0.271516i | ||||
\(907\) | 4.28704 | − | 15.9995i | 0.142349 | − | 0.531253i | −0.857510 | − | 0.514467i | \(-0.827990\pi\) |
0.999859 | − | 0.0167863i | \(-0.00534350\pi\) | |||||||
\(908\) | −12.8050 | + | 1.55562i | −0.424950 | + | 0.0516251i | ||||
\(909\) | −0.0699463 | + | 17.5562i | −0.00231997 | + | 0.582303i | ||||
\(910\) | −17.2026 | + | 49.8563i | −0.570262 | + | 1.65272i | ||||
\(911\) | 0.940538 | + | 1.62906i | 0.0311614 | + | 0.0539731i | 0.881186 | − | 0.472771i | \(-0.156746\pi\) |
−0.850024 | + | 0.526744i | \(0.823413\pi\) | |||||||
\(912\) | 10.7846 | − | 1.17904i | 0.357115 | − | 0.0390418i | ||||
\(913\) | −0.140674 | + | 0.243655i | −0.00465564 | + | 0.00806381i | ||||
\(914\) | 14.7858 | + | 17.0311i | 0.489071 | + | 0.563340i | ||||
\(915\) | 0.844358 | + | 6.51378i | 0.0279136 | + | 0.215339i | ||||
\(916\) | 15.5254 | − | 11.6681i | 0.512975 | − | 0.385526i | ||||
\(917\) | 28.0162 | + | 28.0162i | 0.925177 | + | 0.925177i | ||||
\(918\) | −0.273211 | + | 0.178246i | −0.00901729 | + | 0.00588299i | ||||
\(919\) | 58.7898i | 1.93930i | 0.244501 | + | 0.969649i | \(0.421376\pi\) | ||||
−0.244501 | + | 0.969649i | \(0.578624\pi\) | |||||||
\(920\) | 24.4240 | + | 75.6635i | 0.805234 | + | 2.49455i | ||||
\(921\) | −14.3028 | − | 11.0203i | −0.471293 | − | 0.363130i | ||||
\(922\) | 1.87345 | − | 26.5474i | 0.0616989 | − | 0.874291i | ||||
\(923\) | 39.0799 | − | 10.4714i | 1.28633 | − | 0.344671i | ||||
\(924\) | 2.35695 | − | 2.30106i | 0.0775380 | − | 0.0756992i | ||||
\(925\) | −4.74180 | − | 1.27056i | −0.155909 | − | 0.0417758i | ||||
\(926\) | 16.2437 | + | 5.60480i | 0.533802 | + | 0.184185i | ||||
\(927\) | −3.79973 | − | 1.03438i | −0.124799 | − | 0.0339734i | ||||
\(928\) | −26.0876 | − | 31.2930i | −0.856369 | − | 1.02724i | ||||
\(929\) | 17.0265 | + | 29.4908i | 0.558622 | + | 0.967562i | 0.997612 | + | 0.0690699i | \(0.0220032\pi\) |
−0.438990 | + | 0.898492i | \(0.644664\pi\) | |||||||
\(930\) | −0.478669 | − | 8.17946i | −0.0156962 | − | 0.268215i | ||||
\(931\) | −1.12085 | − | 4.18306i | −0.0367343 | − | 0.137094i | ||||
\(932\) | −16.5870 | − | 41.2060i | −0.543324 | − | 1.34975i | ||||
\(933\) | −4.79393 | + | 11.5087i | −0.156946 | + | 0.376777i | ||||
\(934\) | −26.4676 | − | 17.8773i | −0.866047 | − | 0.584963i | ||||
\(935\) | − | 0.0632715i | − | 0.00206920i | ||||||
\(936\) | −22.8966 | + | 44.2886i | −0.748398 | + | 1.44762i | ||||
\(937\) | − | 23.8098i | − | 0.777833i | −0.921273 | − | 0.388916i | \(-0.872849\pi\) | ||
0.921273 | − | 0.388916i | \(-0.127151\pi\) | |||||||
\(938\) | −9.32072 | + | 13.7995i | −0.304332 | + | 0.450569i | ||||
\(939\) | 11.2105 | + | 14.6702i | 0.365841 | + | 0.478744i | ||||
\(940\) | 13.8993 | + | 5.92093i | 0.453346 | + | 0.193120i | ||||
\(941\) | 3.51153 | + | 13.1052i | 0.114473 | + | 0.427217i | 0.999247 | − | 0.0388023i | \(-0.0123543\pi\) |
−0.884774 | + | 0.466020i | \(0.845688\pi\) | |||||||
\(942\) | −22.1858 | − | 33.7116i | −0.722854 | − | 1.09838i | ||||
\(943\) | −30.3705 | − | 52.6032i | −0.988998 | − | 1.71300i | ||||
\(944\) | 7.69208 | − | 12.7278i | 0.250356 | − | 0.414255i | ||||
\(945\) | 30.3937 | + | 12.8028i | 0.988707 | + | 0.416476i | ||||
\(946\) | −2.44064 | + | 7.07341i | −0.0793519 | + | 0.229976i | ||||
\(947\) | −19.1830 | − | 5.14006i | −0.623363 | − | 0.167030i | −0.0667069 | − | 0.997773i | \(-0.521249\pi\) |
−0.556656 | + | 0.830743i | \(0.687916\pi\) | |||||||
\(948\) | −12.2496 | + | 20.6410i | −0.397849 | + | 0.670388i | ||||
\(949\) | 74.8957 | − | 20.0682i | 2.43122 | − | 0.651442i | ||||
\(950\) | −9.97076 | − | 0.703639i | −0.323494 | − | 0.0228291i | ||||
\(951\) | 3.44978 | − | 25.8063i | 0.111867 | − | 0.836826i | ||||
\(952\) | −0.229987 | − | 0.117741i | −0.00745391 | − | 0.00381601i | ||||
\(953\) | 13.2336i | 0.428678i | 0.976759 | + | 0.214339i | \(0.0687598\pi\) | ||||
−0.976759 | + | 0.214339i | \(0.931240\pi\) | |||||||
\(954\) | 4.84613 | − | 13.8656i | 0.156899 | − | 0.448914i | ||||
\(955\) | −28.7557 | − | 28.7557i | −0.930512 | − | 0.930512i | ||||
\(956\) | 2.26236 | − | 15.9493i | 0.0731698 | − | 0.515837i | ||||
\(957\) | 5.32108 | + | 2.21649i | 0.172006 | + | 0.0716491i | ||||
\(958\) | 19.8043 | − | 17.1933i | 0.639847 | − | 0.555492i | ||||
\(959\) | −9.86339 | + | 17.0839i | −0.318506 | + | 0.551668i | ||||
\(960\) | 42.7171 | + | 1.36800i | 1.37869 | + | 0.0441519i | ||||
\(961\) | 14.9120 | + | 25.8283i | 0.481031 | + | 0.833170i | ||||
\(962\) | 8.54322 | + | 2.94779i | 0.275444 | + | 0.0950404i | ||||
\(963\) | 10.7394 | + | 6.25759i | 0.346073 | + | 0.201648i | ||||
\(964\) | −15.9854 | − | 12.5222i | −0.514855 | − | 0.403312i | ||||
\(965\) | 13.9194 | − | 51.9479i | 0.448081 | − | 1.67226i | ||||
\(966\) | −43.6015 | + | 14.4613i | −1.40286 | + | 0.465286i | ||||
\(967\) | 45.2656 | + | 26.1341i | 1.45564 | + | 0.840417i | 0.998793 | − | 0.0491262i | \(-0.0156437\pi\) |
0.456852 | + | 0.889543i | \(0.348977\pi\) | |||||||
\(968\) | −1.53818 | − | 30.4699i | −0.0494390 | − | 0.979341i | ||||
\(969\) | 0.0953746 | + | 0.0734858i | 0.00306387 | + | 0.00236070i | ||||
\(970\) | 28.7273 | − | 42.5312i | 0.922377 | − | 1.36559i | ||||
\(971\) | −33.2081 | − | 33.2081i | −1.06570 | − | 1.06570i | −0.997684 | − | 0.0680139i | \(-0.978334\pi\) |
−0.0680139 | − | 0.997684i | \(-0.521666\pi\) | |||||||
\(972\) | 26.6834 | + | 16.1244i | 0.855870 | + | 0.517192i | ||||
\(973\) | 10.2655 | − | 10.2655i | 0.329098 | − | 0.329098i | ||||
\(974\) | −9.14728 | + | 1.77197i | −0.293098 | + | 0.0567777i | ||||
\(975\) | 28.0363 | − | 36.3873i | 0.897881 | − | 1.16533i | ||||
\(976\) | −4.30736 | + | 2.37321i | −0.137875 | + | 0.0759646i | ||||
\(977\) | 15.0366 | − | 26.0441i | 0.481063 | − | 0.833226i | −0.518701 | − | 0.854956i | \(-0.673584\pi\) |
0.999764 | + | 0.0217300i | \(0.00691743\pi\) | |||||||
\(978\) | 8.14399 | − | 16.2272i | 0.260416 | − | 0.518889i | ||||
\(979\) | −2.36566 | − | 0.633876i | −0.0756067 | − | 0.0202588i | ||||
\(980\) | −2.05745 | − | 16.9359i | −0.0657230 | − | 0.540997i | ||||
\(981\) | −24.6045 | + | 42.2269i | −0.785562 | + | 1.34820i | ||||
\(982\) | −3.11746 | − | 6.40214i | −0.0994822 | − | 0.204301i | ||||
\(983\) | −18.8575 | + | 10.8874i | −0.601460 | + | 0.347253i | −0.769616 | − | 0.638507i | \(-0.779552\pi\) |
0.168155 | + | 0.985760i | \(0.446219\pi\) | |||||||
\(984\) | −32.1272 | + | 5.82450i | −1.02418 | + | 0.185678i | ||||
\(985\) | −31.5914 | − | 18.2393i | −1.00658 | − | 0.581152i | ||||
\(986\) | 0.0318287 | − | 0.451021i | 0.00101363 | − | 0.0143634i | ||||
\(987\) | −3.35646 | + | 8.05776i | −0.106837 | + | 0.256481i | ||||
\(988\) | 18.2192 | + | 2.58434i | 0.579631 | + | 0.0822188i | ||||
\(989\) | 73.7882 | − | 73.7882i | 2.34633 | − | 2.34633i | ||||
\(990\) | −5.44719 | + | 2.62566i | −0.173123 | + | 0.0834489i | ||||
\(991\) | 21.5288 | 0.683884 | 0.341942 | − | 0.939721i | \(-0.388915\pi\) | ||||
0.341942 | + | 0.939721i | \(0.388915\pi\) | |||||||
\(992\) | 5.56820 | − | 2.57482i | 0.176790 | − | 0.0817507i | ||||
\(993\) | −43.3348 | − | 5.79298i | −1.37519 | − | 0.183835i | ||||
\(994\) | 15.1315 | − | 13.1366i | 0.479943 | − | 0.416669i | ||||
\(995\) | −12.4871 | − | 46.6025i | −0.395868 | − | 1.47740i | ||||
\(996\) | −0.521403 | − | 2.04368i | −0.0165213 | − | 0.0647566i | ||||
\(997\) | −8.21836 | + | 30.6713i | −0.260278 | + | 0.971371i | 0.704799 | + | 0.709407i | \(0.251037\pi\) |
−0.965078 | + | 0.261964i | \(0.915630\pi\) | |||||||
\(998\) | −27.6094 | + | 13.4441i | −0.873960 | + | 0.425566i | ||||
\(999\) | 2.19385 | − | 5.20817i | 0.0694103 | − | 0.164779i |
(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.85.11 | yes | 72 | |
3.2 | odd | 2 | 432.2.y.e.37.8 | 72 | |||
4.3 | odd | 2 | 576.2.bb.e.49.9 | 72 | |||
9.2 | odd | 6 | 432.2.y.e.181.5 | 72 | |||
9.7 | even | 3 | inner | 144.2.x.e.133.14 | yes | 72 | |
12.11 | even | 2 | 1728.2.bc.e.1009.3 | 72 | |||
16.3 | odd | 4 | 576.2.bb.e.337.2 | 72 | |||
16.13 | even | 4 | inner | 144.2.x.e.13.14 | ✓ | 72 | |
36.7 | odd | 6 | 576.2.bb.e.241.2 | 72 | |||
36.11 | even | 6 | 1728.2.bc.e.1585.16 | 72 | |||
48.29 | odd | 4 | 432.2.y.e.253.5 | 72 | |||
48.35 | even | 4 | 1728.2.bc.e.145.16 | 72 | |||
144.29 | odd | 12 | 432.2.y.e.397.8 | 72 | |||
144.61 | even | 12 | inner | 144.2.x.e.61.11 | yes | 72 | |
144.83 | even | 12 | 1728.2.bc.e.721.3 | 72 | |||
144.115 | odd | 12 | 576.2.bb.e.529.9 | 72 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
144.2.x.e.13.14 | ✓ | 72 | 16.13 | even | 4 | inner | |
144.2.x.e.61.11 | yes | 72 | 144.61 | even | 12 | inner | |
144.2.x.e.85.11 | yes | 72 | 1.1 | even | 1 | trivial | |
144.2.x.e.133.14 | yes | 72 | 9.7 | even | 3 | inner | |
432.2.y.e.37.8 | 72 | 3.2 | odd | 2 | |||
432.2.y.e.181.5 | 72 | 9.2 | odd | 6 | |||
432.2.y.e.253.5 | 72 | 48.29 | odd | 4 | |||
432.2.y.e.397.8 | 72 | 144.29 | odd | 12 | |||
576.2.bb.e.49.9 | 72 | 4.3 | odd | 2 | |||
576.2.bb.e.241.2 | 72 | 36.7 | odd | 6 | |||
576.2.bb.e.337.2 | 72 | 16.3 | odd | 4 | |||
576.2.bb.e.529.9 | 72 | 144.115 | odd | 12 | |||
1728.2.bc.e.145.16 | 72 | 48.35 | even | 4 | |||
1728.2.bc.e.721.3 | 72 | 144.83 | even | 12 | |||
1728.2.bc.e.1009.3 | 72 | 12.11 | even | 2 | |||
1728.2.bc.e.1585.16 | 72 | 36.11 | even | 6 |