Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [360,2,Mod(11,360)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(360, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 3, 1, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("360.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 360 = 2^{3} \cdot 3^{2} \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 360.bm (of order \(6\), degree \(2\), 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: | \(2.87461447277\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Relative dimension: | \(24\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 11.16 | ||
Character | \(\chi\) | \(=\) | 360.11 |
Dual form | 360.2.bm.b.131.16 |
$q$-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 \(\left(\mathbb{Z}/360\mathbb{Z}\right)^\times\).
\(n\) | \(181\) | \(217\) | \(271\) | \(281\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(-1\) | \(e\left(\frac{1}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.884203 | − | 1.10371i | 0.625226 | − | 0.780444i | ||||
\(3\) | −1.18636 | − | 1.26196i | −0.684946 | − | 0.728593i | ||||
\(4\) | −0.436372 | − | 1.95181i | −0.218186 | − | 0.975907i | ||||
\(5\) | 0.500000 | + | 0.866025i | 0.223607 | + | 0.387298i | ||||
\(6\) | −2.44183 | + | 0.193576i | −0.996872 | + | 0.0790271i | ||||
\(7\) | −2.20775 | − | 1.27465i | −0.834452 | − | 0.481771i | 0.0209226 | − | 0.999781i | \(-0.493340\pi\) |
−0.855375 | + | 0.518010i | \(0.826673\pi\) | |||||||
\(8\) | −2.54009 | − | 1.24417i | −0.898056 | − | 0.439880i | ||||
\(9\) | −0.185091 | + | 2.99428i | −0.0616969 | + | 0.998095i | ||||
\(10\) | 1.39795 | + | 0.213885i | 0.442069 | + | 0.0676362i | ||||
\(11\) | −4.02755 | − | 2.32531i | −1.21435 | − | 0.701107i | −0.250649 | − | 0.968078i | \(-0.580644\pi\) |
−0.963705 | + | 0.266971i | \(0.913977\pi\) | |||||||
\(12\) | −1.94542 | + | 2.86624i | −0.561594 | + | 0.827413i | ||||
\(13\) | 3.23898 | − | 1.87003i | 0.898332 | − | 0.518653i | 0.0216737 | − | 0.999765i | \(-0.493101\pi\) |
0.876659 | + | 0.481113i | \(0.159767\pi\) | |||||||
\(14\) | −3.35895 | + | 1.30968i | −0.897716 | + | 0.350028i | ||||
\(15\) | 0.499709 | − | 1.65840i | 0.129024 | − | 0.428197i | ||||
\(16\) | −3.61916 | + | 1.70343i | −0.904790 | + | 0.425858i | ||||
\(17\) | − | 3.38689i | − | 0.821442i | −0.911761 | − | 0.410721i | \(-0.865277\pi\) | ||
0.911761 | − | 0.410721i | \(-0.134723\pi\) | |||||||
\(18\) | 3.14118 | + | 2.85184i | 0.740383 | + | 0.672185i | ||||
\(19\) | −5.12923 | −1.17673 | −0.588363 | − | 0.808597i | \(-0.700227\pi\) | ||||
−0.588363 | + | 0.808597i | \(0.700227\pi\) | |||||||
\(20\) | 1.47213 | − | 1.35382i | 0.329179 | − | 0.302723i | ||||
\(21\) | 1.01064 | + | 4.29829i | 0.220540 | + | 0.937964i | ||||
\(22\) | −6.12765 | + | 2.38923i | −1.30642 | + | 0.509385i | ||||
\(23\) | 4.16526 | + | 7.21444i | 0.868517 | + | 1.50432i | 0.863512 | + | 0.504328i | \(0.168260\pi\) |
0.00500444 | + | 0.999987i | \(0.498407\pi\) | |||||||
\(24\) | 1.44337 | + | 4.68153i | 0.294627 | + | 0.955612i | ||||
\(25\) | −0.500000 | + | 0.866025i | −0.100000 | + | 0.173205i | ||||
\(26\) | 0.799940 | − | 5.22840i | 0.156881 | − | 1.02537i | ||||
\(27\) | 3.99825 | − | 3.31873i | 0.769465 | − | 0.638690i | ||||
\(28\) | −1.52447 | + | 4.86534i | −0.288098 | + | 0.919463i | ||||
\(29\) | 2.01987 | − | 3.49852i | 0.375081 | − | 0.649659i | −0.615258 | − | 0.788326i | \(-0.710948\pi\) |
0.990339 | + | 0.138666i | \(0.0442816\pi\) | |||||||
\(30\) | −1.38856 | − | 2.01790i | −0.253515 | − | 0.368416i | ||||
\(31\) | 4.88169 | − | 2.81845i | 0.876778 | − | 0.506208i | 0.00718342 | − | 0.999974i | \(-0.497713\pi\) |
0.869595 | + | 0.493766i | \(0.164380\pi\) | |||||||
\(32\) | −1.31996 | + | 5.50070i | −0.233339 | + | 0.972395i | ||||
\(33\) | 1.84369 | + | 7.84127i | 0.320945 | + | 1.36499i | ||||
\(34\) | −3.73816 | − | 2.99470i | −0.641089 | − | 0.513586i | ||||
\(35\) | − | 2.54929i | − | 0.430909i | ||||||
\(36\) | 5.92506 | − | 0.945359i | 0.987509 | − | 0.157560i | ||||
\(37\) | − | 7.40207i | − | 1.21689i | −0.793595 | − | 0.608446i | \(-0.791793\pi\) | ||
0.793595 | − | 0.608446i | \(-0.208207\pi\) | |||||||
\(38\) | −4.53528 | + | 5.66121i | −0.735719 | + | 0.918369i | ||||
\(39\) | −6.20251 | − | 1.86894i | −0.993196 | − | 0.299270i | ||||
\(40\) | −0.192561 | − | 2.82186i | −0.0304466 | − | 0.446176i | ||||
\(41\) | −5.23156 | + | 3.02044i | −0.817032 | + | 0.471714i | −0.849392 | − | 0.527762i | \(-0.823031\pi\) |
0.0323597 | + | 0.999476i | \(0.489698\pi\) | |||||||
\(42\) | 5.63769 | + | 2.68510i | 0.869915 | + | 0.414320i | ||||
\(43\) | 5.26273 | − | 9.11531i | 0.802558 | − | 1.39007i | −0.115369 | − | 0.993323i | \(-0.536805\pi\) |
0.917927 | − | 0.396749i | \(-0.129862\pi\) | |||||||
\(44\) | −2.78106 | + | 8.87574i | −0.419261 | + | 1.33807i | ||||
\(45\) | −2.68567 | + | 1.33685i | −0.400356 | + | 0.199286i | ||||
\(46\) | 11.6456 | + | 1.78177i | 1.71705 | + | 0.262708i | ||||
\(47\) | 0.621010 | − | 1.07562i | 0.0905837 | − | 0.156896i | −0.817173 | − | 0.576392i | \(-0.804460\pi\) |
0.907757 | + | 0.419497i | \(0.137793\pi\) | |||||||
\(48\) | 6.44330 | + | 2.54635i | 0.930010 | + | 0.367534i | ||||
\(49\) | −0.250553 | − | 0.433970i | −0.0357933 | − | 0.0619958i | ||||
\(50\) | 0.513744 | + | 1.31760i | 0.0726543 | + | 0.186337i | ||||
\(51\) | −4.27412 | + | 4.01808i | −0.598497 | + | 0.562643i | ||||
\(52\) | −5.06335 | − | 5.50587i | −0.702160 | − | 0.763526i | ||||
\(53\) | 2.05427 | 0.282176 | 0.141088 | − | 0.989997i | \(-0.454940\pi\) | ||||
0.141088 | + | 0.989997i | \(0.454940\pi\) | |||||||
\(54\) | −0.127662 | − | 7.34736i | −0.0173726 | − | 0.999849i | ||||
\(55\) | − | 4.65062i | − | 0.627089i | ||||||
\(56\) | 4.02201 | + | 5.98453i | 0.537463 | + | 0.799717i | ||||
\(57\) | 6.08512 | + | 6.47289i | 0.805994 | + | 0.857355i | ||||
\(58\) | −2.07539 | − | 5.32277i | −0.272513 | − | 0.698913i | ||||
\(59\) | −0.351174 | + | 0.202750i | −0.0457190 | + | 0.0263959i | −0.522685 | − | 0.852526i | \(-0.675070\pi\) |
0.476966 | + | 0.878922i | \(0.341736\pi\) | |||||||
\(60\) | −3.45495 | − | 0.251661i | −0.446032 | − | 0.0324892i | ||||
\(61\) | −4.57621 | − | 2.64207i | −0.585923 | − | 0.338283i | 0.177561 | − | 0.984110i | \(-0.443179\pi\) |
−0.763484 | + | 0.645827i | \(0.776513\pi\) | |||||||
\(62\) | 1.20564 | − | 7.88008i | 0.153117 | − | 1.00077i | ||||
\(63\) | 4.22529 | − | 6.37471i | 0.532336 | − | 0.803139i | ||||
\(64\) | 4.90409 | + | 6.32060i | 0.613011 | + | 0.790075i | ||||
\(65\) | 3.23898 | + | 1.87003i | 0.401746 | + | 0.231948i | ||||
\(66\) | 10.2847 | + | 4.89837i | 1.26596 | + | 0.602948i | ||||
\(67\) | −6.17580 | − | 10.6968i | −0.754494 | − | 1.30682i | −0.945625 | − | 0.325258i | \(-0.894549\pi\) |
0.191131 | − | 0.981565i | \(-0.438784\pi\) | |||||||
\(68\) | −6.61058 | + | 1.47794i | −0.801651 | + | 0.179227i | ||||
\(69\) | 4.16284 | − | 13.8153i | 0.501147 | − | 1.66317i | ||||
\(70\) | −2.81369 | − | 2.25409i | −0.336300 | − | 0.269415i | ||||
\(71\) | 5.43205 | 0.644666 | 0.322333 | − | 0.946626i | \(-0.395533\pi\) | ||||
0.322333 | + | 0.946626i | \(0.395533\pi\) | |||||||
\(72\) | 4.19554 | − | 7.37546i | 0.494450 | − | 0.869206i | ||||
\(73\) | 13.3990 | 1.56823 | 0.784115 | − | 0.620616i | \(-0.213117\pi\) | ||||
0.784115 | + | 0.620616i | \(0.213117\pi\) | |||||||
\(74\) | −8.16977 | − | 6.54493i | −0.949717 | − | 0.760833i | ||||
\(75\) | 1.68607 | − | 0.396439i | 0.194691 | − | 0.0457768i | ||||
\(76\) | 2.23825 | + | 10.0113i | 0.256745 | + | 1.14838i | ||||
\(77\) | 5.92789 | + | 10.2674i | 0.675546 | + | 1.17008i | ||||
\(78\) | −7.54705 | + | 5.19328i | −0.854535 | + | 0.588023i | ||||
\(79\) | 5.40268 | + | 3.11924i | 0.607849 | + | 0.350942i | 0.772123 | − | 0.635473i | \(-0.219195\pi\) |
−0.164274 | + | 0.986415i | \(0.552528\pi\) | |||||||
\(80\) | −3.28480 | − | 2.28257i | −0.367251 | − | 0.255199i | ||||
\(81\) | −8.93148 | − | 1.10843i | −0.992387 | − | 0.123159i | ||||
\(82\) | −1.29205 | + | 8.44483i | −0.142683 | + | 0.932576i | ||||
\(83\) | 12.0774 | + | 6.97289i | 1.32567 | + | 0.765374i | 0.984626 | − | 0.174675i | \(-0.0558875\pi\) |
0.341040 | + | 0.940049i | \(0.389221\pi\) | |||||||
\(84\) | 7.94845 | − | 3.84823i | 0.867247 | − | 0.419877i | ||||
\(85\) | 2.93313 | − | 1.69345i | 0.318143 | − | 0.183680i | ||||
\(86\) | −5.40738 | − | 13.8683i | −0.583093 | − | 1.49546i | ||||
\(87\) | −6.81130 | + | 1.60151i | −0.730248 | + | 0.171700i | ||||
\(88\) | 7.33726 | + | 10.9174i | 0.782154 | + | 1.16380i | ||||
\(89\) | − | 2.72618i | − | 0.288975i | −0.989507 | − | 0.144487i | \(-0.953847\pi\) | ||
0.989507 | − | 0.144487i | \(-0.0461533\pi\) | |||||||
\(90\) | −0.899178 | + | 4.14626i | −0.0947817 | + | 0.437054i | ||||
\(91\) | −9.53450 | −0.999487 | ||||||||
\(92\) | 12.2637 | − | 11.2780i | 1.27857 | − | 1.17581i | ||||
\(93\) | −9.34823 | − | 2.81681i | −0.969366 | − | 0.292089i | ||||
\(94\) | −0.638080 | − | 1.63649i | −0.0658130 | − | 0.168791i | ||||
\(95\) | −2.56462 | − | 4.44204i | −0.263124 | − | 0.455744i | ||||
\(96\) | 8.50762 | − | 4.86008i | 0.868306 | − | 0.496029i | ||||
\(97\) | 1.31601 | − | 2.27939i | 0.133620 | − | 0.231437i | −0.791449 | − | 0.611235i | \(-0.790673\pi\) |
0.925070 | + | 0.379798i | \(0.124006\pi\) | |||||||
\(98\) | −0.700519 | − | 0.107179i | −0.0707631 | − | 0.0108267i | ||||
\(99\) | 7.70810 | − | 11.6292i | 0.774693 | − | 1.16878i | ||||
\(100\) | 1.90851 | + | 0.597998i | 0.190851 | + | 0.0597998i | ||||
\(101\) | −7.87081 | + | 13.6326i | −0.783175 | + | 1.35650i | 0.146909 | + | 0.989150i | \(0.453068\pi\) |
−0.930083 | + | 0.367348i | \(0.880266\pi\) | |||||||
\(102\) | 0.655621 | + | 8.27021i | 0.0649161 | + | 0.818872i | ||||
\(103\) | −8.19174 | + | 4.72950i | −0.807156 | + | 0.466012i | −0.845967 | − | 0.533235i | \(-0.820976\pi\) |
0.0388112 | + | 0.999247i | \(0.487643\pi\) | |||||||
\(104\) | −10.5539 | + | 0.720191i | −1.03490 | + | 0.0706205i | ||||
\(105\) | −3.21711 | + | 3.02438i | −0.313958 | + | 0.295150i | ||||
\(106\) | 1.81639 | − | 2.26733i | 0.176424 | − | 0.220223i | ||||
\(107\) | 9.14609i | 0.884186i | 0.896969 | + | 0.442093i | \(0.145764\pi\) | ||||
−0.896969 | + | 0.442093i | \(0.854236\pi\) | |||||||
\(108\) | −8.22227 | − | 6.35565i | −0.791188 | − | 0.611573i | ||||
\(109\) | − | 2.24057i | − | 0.214608i | −0.994226 | − | 0.107304i | \(-0.965778\pi\) | ||
0.994226 | − | 0.107304i | \(-0.0342218\pi\) | |||||||
\(110\) | −5.13296 | − | 4.11209i | −0.489408 | − | 0.392072i | ||||
\(111\) | −9.34112 | + | 8.78154i | −0.886620 | + | 0.833506i | ||||
\(112\) | 10.1615 | + | 0.852388i | 0.960170 | + | 0.0805431i | ||||
\(113\) | −5.37513 | + | 3.10333i | −0.505650 | + | 0.291937i | −0.731044 | − | 0.682331i | \(-0.760966\pi\) |
0.225394 | + | 0.974268i | \(0.427633\pi\) | |||||||
\(114\) | 12.5247 | − | 0.992896i | 1.17305 | − | 0.0929932i | ||||
\(115\) | −4.16526 | + | 7.21444i | −0.388413 | + | 0.672750i | ||||
\(116\) | −7.70988 | − | 2.41576i | −0.715845 | − | 0.224298i | ||||
\(117\) | 4.99989 | + | 10.0446i | 0.462240 | + | 0.928620i | ||||
\(118\) | −0.0867303 | + | 0.566868i | −0.00798418 | + | 0.0521845i | ||||
\(119\) | −4.31709 | + | 7.47741i | −0.395747 | + | 0.685453i | ||||
\(120\) | −3.33264 | + | 3.59076i | −0.304227 | + | 0.327790i | ||||
\(121\) | 5.31412 | + | 9.20433i | 0.483102 | + | 0.836758i | ||||
\(122\) | −6.96239 | + | 2.71470i | −0.630345 | + | 0.245777i | ||||
\(123\) | 10.0182 | + | 3.01869i | 0.903311 | + | 0.272186i | ||||
\(124\) | −7.63132 | − | 8.29827i | −0.685313 | − | 0.745207i | ||||
\(125\) | −1.00000 | −0.0894427 | ||||||||
\(126\) | −3.29985 | − | 10.3001i | −0.293974 | − | 0.917602i | ||||
\(127\) | − | 12.8277i | − | 1.13827i | −0.822243 | − | 0.569137i | \(-0.807277\pi\) | ||
0.822243 | − | 0.569137i | \(-0.192723\pi\) | |||||||
\(128\) | 11.3123 | + | 0.175976i | 0.999879 | + | 0.0155543i | ||||
\(129\) | −17.7467 | + | 4.17270i | −1.56251 | + | 0.367386i | ||||
\(130\) | 4.92790 | − | 1.92143i | 0.432205 | − | 0.168521i | ||||
\(131\) | 8.33011 | − | 4.80939i | 0.727805 | − | 0.420199i | −0.0898134 | − | 0.995959i | \(-0.528627\pi\) |
0.817619 | + | 0.575760i | \(0.195294\pi\) | |||||||
\(132\) | 14.5002 | − | 7.02025i | 1.26208 | − | 0.611034i | ||||
\(133\) | 11.3241 | + | 6.53796i | 0.981922 | + | 0.566913i | ||||
\(134\) | −17.2669 | − | 2.64182i | −1.49163 | − | 0.228218i | ||||
\(135\) | 4.87323 | + | 1.80323i | 0.419421 | + | 0.155197i | ||||
\(136\) | −4.21386 | + | 8.60300i | −0.361336 | + | 0.737701i | ||||
\(137\) | −8.47690 | − | 4.89414i | −0.724231 | − | 0.418135i | 0.0920770 | − | 0.995752i | \(-0.470649\pi\) |
−0.816308 | + | 0.577617i | \(0.803983\pi\) | |||||||
\(138\) | −11.5674 | − | 16.8101i | −0.984682 | − | 1.43097i | ||||
\(139\) | 3.13540 | + | 5.43067i | 0.265941 | + | 0.460624i | 0.967810 | − | 0.251683i | \(-0.0809840\pi\) |
−0.701869 | + | 0.712306i | \(0.747651\pi\) | |||||||
\(140\) | −4.97575 | + | 1.11244i | −0.420527 | + | 0.0940183i | ||||
\(141\) | −2.09414 | + | 0.492386i | −0.176358 | + | 0.0414664i | ||||
\(142\) | 4.80304 | − | 5.99544i | 0.403062 | − | 0.503126i | ||||
\(143\) | −17.3936 | −1.45452 | ||||||||
\(144\) | −4.43069 | − | 11.1521i | −0.369224 | − | 0.929340i | ||||
\(145\) | 4.03975 | 0.335483 | ||||||||
\(146\) | 11.8474 | − | 14.7886i | 0.980498 | − | 1.22392i | ||||
\(147\) | −0.250407 | + | 0.831034i | −0.0206532 | + | 0.0685425i | ||||
\(148\) | −14.4475 | + | 3.23006i | −1.18757 | + | 0.265509i | ||||
\(149\) | −2.41284 | − | 4.17916i | −0.197667 | − | 0.342370i | 0.750104 | − | 0.661319i | \(-0.230003\pi\) |
−0.947772 | + | 0.318950i | \(0.896670\pi\) | |||||||
\(150\) | 1.05327 | − | 2.21147i | 0.0859994 | − | 0.180566i | ||||
\(151\) | 10.6615 | + | 6.15545i | 0.867624 | + | 0.500923i | 0.866558 | − | 0.499076i | \(-0.166327\pi\) |
0.00106627 | + | 0.999999i | \(0.499661\pi\) | |||||||
\(152\) | 13.0287 | + | 6.38163i | 1.05677 | + | 0.517619i | ||||
\(153\) | 10.1413 | + | 0.626882i | 0.819877 | + | 0.0506804i | ||||
\(154\) | 16.5738 | + | 2.53577i | 1.33555 | + | 0.204338i | ||||
\(155\) | 4.88169 | + | 2.81845i | 0.392107 | + | 0.226383i | ||||
\(156\) | −0.941225 | + | 12.9217i | −0.0753583 | + | 1.03456i | ||||
\(157\) | −6.14993 | + | 3.55066i | −0.490818 | + | 0.283374i | −0.724914 | − | 0.688840i | \(-0.758120\pi\) |
0.234096 | + | 0.972213i | \(0.424787\pi\) | |||||||
\(158\) | 8.21981 | − | 3.20498i | 0.653933 | − | 0.254974i | ||||
\(159\) | −2.43711 | − | 2.59241i | −0.193276 | − | 0.205592i | ||||
\(160\) | −5.42373 | + | 1.60723i | −0.428783 | + | 0.127062i | ||||
\(161\) | − | 21.2369i | − | 1.67371i | ||||||
\(162\) | −9.12063 | + | 8.87773i | −0.716584 | + | 0.697501i | ||||
\(163\) | −4.88666 | −0.382753 | −0.191377 | − | 0.981517i | \(-0.561295\pi\) | ||||
−0.191377 | + | 0.981517i | \(0.561295\pi\) | |||||||
\(164\) | 8.17825 | + | 8.89300i | 0.638614 | + | 0.694426i | ||||
\(165\) | −5.86890 | + | 5.51732i | −0.456893 | + | 0.429522i | ||||
\(166\) | 18.3749 | − | 7.16455i | 1.42617 | − | 0.556077i | ||||
\(167\) | 7.41709 | + | 12.8468i | 0.573951 | + | 0.994113i | 0.996155 | + | 0.0876117i | \(0.0279235\pi\) |
−0.422203 | + | 0.906501i | \(0.638743\pi\) | |||||||
\(168\) | 2.78069 | − | 12.1754i | 0.214535 | − | 0.939355i | ||||
\(169\) | 0.494011 | − | 0.855652i | 0.0380008 | − | 0.0658194i | ||||
\(170\) | 0.724403 | − | 4.73469i | 0.0555592 | − | 0.363134i | ||||
\(171\) | 0.949373 | − | 15.3584i | 0.0726004 | − | 1.17448i | ||||
\(172\) | −20.0879 | − | 6.29420i | −1.53169 | − | 0.479928i | ||||
\(173\) | −3.22057 | + | 5.57819i | −0.244855 | + | 0.424102i | −0.962091 | − | 0.272729i | \(-0.912074\pi\) |
0.717236 | + | 0.696831i | \(0.245407\pi\) | |||||||
\(174\) | −4.25495 | + | 8.93379i | −0.322567 | + | 0.677269i | ||||
\(175\) | 2.20775 | − | 1.27465i | 0.166890 | − | 0.0963542i | ||||
\(176\) | 18.5374 | + | 1.55499i | 1.39731 | + | 0.117212i | ||||
\(177\) | 0.672483 | + | 0.202632i | 0.0505469 | + | 0.0152308i | ||||
\(178\) | −3.00893 | − | 2.41050i | −0.225529 | − | 0.180674i | ||||
\(179\) | 8.76690i | 0.655269i | 0.944805 | + | 0.327634i | \(0.106251\pi\) | ||||
−0.944805 | + | 0.327634i | \(0.893749\pi\) | |||||||
\(180\) | 3.78123 | + | 4.65857i | 0.281836 | + | 0.347229i | ||||
\(181\) | 15.3572i | 1.14149i | 0.821126 | + | 0.570747i | \(0.193346\pi\) | ||||
−0.821126 | + | 0.570747i | \(0.806654\pi\) | |||||||
\(182\) | −8.43043 | + | 10.5234i | −0.624905 | + | 0.780044i | ||||
\(183\) | 2.09484 | + | 8.90945i | 0.154855 | + | 0.658605i | ||||
\(184\) | −1.60414 | − | 23.5076i | −0.118259 | − | 1.73300i | ||||
\(185\) | 6.41038 | − | 3.70104i | 0.471301 | − | 0.272106i | ||||
\(186\) | −11.3747 | + | 7.82715i | −0.834032 | + | 0.573914i | ||||
\(187\) | −7.87557 | + | 13.6409i | −0.575918 | + | 0.997520i | ||||
\(188\) | −2.37041 | − | 0.742726i | −0.172880 | − | 0.0541689i | ||||
\(189\) | −13.0574 | + | 2.23057i | −0.949783 | + | 0.162250i | ||||
\(190\) | −7.17039 | − | 1.09706i | −0.520195 | − | 0.0795893i | ||||
\(191\) | 1.49605 | − | 2.59124i | 0.108251 | − | 0.187496i | −0.806811 | − | 0.590810i | \(-0.798808\pi\) |
0.915062 | + | 0.403314i | \(0.132142\pi\) | |||||||
\(192\) | 2.15833 | − | 13.6873i | 0.155764 | − | 0.987794i | ||||
\(193\) | 1.27611 | + | 2.21028i | 0.0918562 | + | 0.159100i | 0.908292 | − | 0.418336i | \(-0.137387\pi\) |
−0.816436 | + | 0.577436i | \(0.804053\pi\) | |||||||
\(194\) | −1.35218 | − | 3.46794i | −0.0970810 | − | 0.248984i | ||||
\(195\) | −1.48270 | − | 6.30600i | −0.106179 | − | 0.451582i | ||||
\(196\) | −0.737695 | + | 0.678405i | −0.0526925 | + | 0.0484575i | ||||
\(197\) | 10.5167 | 0.749283 | 0.374642 | − | 0.927170i | \(-0.377766\pi\) | ||||
0.374642 | + | 0.927170i | \(0.377766\pi\) | |||||||
\(198\) | −6.01985 | − | 18.7902i | −0.427812 | − | 1.33536i | ||||
\(199\) | 12.4162i | 0.880162i | 0.897958 | + | 0.440081i | \(0.145050\pi\) | ||||
−0.897958 | + | 0.440081i | \(0.854950\pi\) | |||||||
\(200\) | 2.34753 | − | 1.57770i | 0.165995 | − | 0.111560i | ||||
\(201\) | −6.17221 | + | 20.4839i | −0.435354 | + | 1.44482i | ||||
\(202\) | 8.08716 | + | 20.7411i | 0.569010 | + | 1.45934i | ||||
\(203\) | −8.91876 | + | 5.14925i | −0.625974 | + | 0.361406i | ||||
\(204\) | 9.70765 | + | 6.58892i | 0.679671 | + | 0.461317i | ||||
\(205\) | −5.23156 | − | 3.02044i | −0.365388 | − | 0.210957i | ||||
\(206\) | −2.02314 | + | 13.2232i | −0.140959 | + | 0.921303i | ||||
\(207\) | −22.3730 | + | 11.1366i | −1.55503 | + | 0.774051i | ||||
\(208\) | −8.53693 | + | 12.2853i | −0.591930 | + | 0.851834i | ||||
\(209\) | 20.6583 | + | 11.9270i | 1.42896 | + | 0.825011i | ||||
\(210\) | 0.493482 | + | 6.22494i | 0.0340535 | + | 0.429561i | ||||
\(211\) | −7.79890 | − | 13.5081i | −0.536899 | − | 0.929936i | −0.999069 | − | 0.0431444i | \(-0.986262\pi\) |
0.462170 | − | 0.886791i | \(-0.347071\pi\) | |||||||
\(212\) | −0.896427 | − | 4.00956i | −0.0615669 | − | 0.275378i | ||||
\(213\) | −6.44438 | − | 6.85504i | −0.441562 | − | 0.469700i | ||||
\(214\) | 10.0947 | + | 8.08699i | 0.690057 | + | 0.552816i | ||||
\(215\) | 10.5255 | 0.717830 | ||||||||
\(216\) | −14.2850 | + | 3.45535i | −0.971969 | + | 0.235107i | ||||
\(217\) | −14.3701 | −0.975506 | ||||||||
\(218\) | −2.47295 | − | 1.98112i | −0.167490 | − | 0.134178i | ||||
\(219\) | −15.8960 | − | 16.9090i | −1.07415 | − | 1.14260i | ||||
\(220\) | −9.07714 | + | 2.02940i | −0.611981 | + | 0.136822i | ||||
\(221\) | −6.33358 | − | 10.9701i | −0.426043 | − | 0.737928i | ||||
\(222\) | 1.43286 | + | 18.0746i | 0.0961675 | + | 1.21309i | ||||
\(223\) | 1.43709 | + | 0.829706i | 0.0962348 | + | 0.0555612i | 0.547345 | − | 0.836907i | \(-0.315639\pi\) |
−0.451110 | + | 0.892468i | \(0.648972\pi\) | |||||||
\(224\) | 9.92560 | − | 10.4617i | 0.663182 | − | 0.699001i | ||||
\(225\) | −2.50058 | − | 1.65744i | −0.166705 | − | 0.110496i | ||||
\(226\) | −1.32751 | + | 8.67659i | −0.0883047 | + | 0.577158i | ||||
\(227\) | −8.51386 | − | 4.91548i | −0.565085 | − | 0.326252i | 0.190099 | − | 0.981765i | \(-0.439119\pi\) |
−0.755184 | + | 0.655513i | \(0.772452\pi\) | |||||||
\(228\) | 9.97850 | − | 14.7016i | 0.660842 | − | 0.973639i | ||||
\(229\) | 9.39914 | − | 5.42659i | 0.621112 | − | 0.358599i | −0.156190 | − | 0.987727i | \(-0.549921\pi\) |
0.777302 | + | 0.629128i | \(0.216588\pi\) | |||||||
\(230\) | 4.27975 | + | 10.9763i | 0.282198 | + | 0.723755i | ||||
\(231\) | 5.92445 | − | 19.6616i | 0.389800 | − | 1.29364i | ||||
\(232\) | −9.48341 | + | 6.37349i | −0.622616 | + | 0.418440i | ||||
\(233\) | − | 26.3031i | − | 1.72318i | −0.507609 | − | 0.861588i | \(-0.669470\pi\) | ||
0.507609 | − | 0.861588i | \(-0.330530\pi\) | |||||||
\(234\) | 15.5072 | + | 3.36298i | 1.01374 | + | 0.219845i | ||||
\(235\) | 1.24202 | 0.0810205 | ||||||||
\(236\) | 0.548974 | + | 0.596952i | 0.0357351 | + | 0.0388583i | ||||
\(237\) | −2.47317 | − | 10.5185i | −0.160650 | − | 0.683251i | ||||
\(238\) | 4.43575 | + | 11.3764i | 0.287527 | + | 0.737421i | ||||
\(239\) | −3.17976 | − | 5.50750i | −0.205681 | − | 0.356251i | 0.744668 | − | 0.667435i | \(-0.232608\pi\) |
−0.950350 | + | 0.311184i | \(0.899274\pi\) | |||||||
\(240\) | 1.01645 | + | 6.85324i | 0.0656114 | + | 0.442374i | ||||
\(241\) | 5.71542 | − | 9.89940i | 0.368163 | − | 0.637677i | −0.621116 | − | 0.783719i | \(-0.713320\pi\) |
0.989278 | + | 0.146042i | \(0.0466536\pi\) | |||||||
\(242\) | 14.8577 | + | 2.27322i | 0.955090 | + | 0.146128i | ||||
\(243\) | 9.19718 | + | 12.5862i | 0.589999 | + | 0.807404i | ||||
\(244\) | −3.15991 | + | 10.0848i | −0.202293 | + | 0.645615i | ||||
\(245\) | 0.250553 | − | 0.433970i | 0.0160072 | − | 0.0277253i | ||||
\(246\) | 12.1899 | − | 8.38811i | 0.777199 | − | 0.534806i | ||||
\(247\) | −16.6135 | + | 9.59181i | −1.05709 | + | 0.610312i | ||||
\(248\) | −15.9066 | + | 1.08545i | −1.01007 | + | 0.0689261i | ||||
\(249\) | −5.52865 | − | 23.5136i | −0.350364 | − | 1.49011i | ||||
\(250\) | −0.884203 | + | 1.10371i | −0.0559219 | + | 0.0698050i | ||||
\(251\) | 17.3175i | 1.09307i | 0.837436 | + | 0.546535i | \(0.184054\pi\) | ||||
−0.837436 | + | 0.546535i | \(0.815946\pi\) | |||||||
\(252\) | −14.2861 | − | 5.46523i | −0.899937 | − | 0.344277i | ||||
\(253\) | − | 38.7421i | − | 2.43569i | ||||||
\(254\) | −14.1581 | − | 11.3423i | −0.888359 | − | 0.711678i | ||||
\(255\) | −5.61682 | − | 1.69246i | −0.351739 | − | 0.105986i | ||||
\(256\) | 10.1966 | − | 12.3300i | 0.637289 | − | 0.770625i | ||||
\(257\) | −5.77481 | + | 3.33409i | −0.360223 | + | 0.207975i | −0.669178 | − | 0.743102i | \(-0.733354\pi\) |
0.308956 | + | 0.951076i | \(0.400020\pi\) | |||||||
\(258\) | −11.0862 | + | 23.2768i | −0.690195 | + | 1.44915i | ||||
\(259\) | −9.43502 | + | 16.3419i | −0.586264 | + | 1.01544i | ||||
\(260\) | 2.23655 | − | 7.13792i | 0.138705 | − | 0.442675i | ||||
\(261\) | 10.1017 | + | 6.69562i | 0.625280 | + | 0.414448i | ||||
\(262\) | 2.05731 | − | 13.4465i | 0.127101 | − | 0.830730i | ||||
\(263\) | 12.8435 | − | 22.2455i | 0.791962 | − | 1.37172i | −0.132788 | − | 0.991144i | \(-0.542393\pi\) |
0.924750 | − | 0.380575i | \(-0.124274\pi\) | |||||||
\(264\) | 5.07275 | − | 22.2114i | 0.312206 | − | 1.36702i | ||||
\(265\) | 1.02714 | + | 1.77905i | 0.0630965 | + | 0.109286i | ||||
\(266\) | 17.2288 | − | 6.71767i | 1.05637 | − | 0.411887i | ||||
\(267\) | −3.44033 | + | 3.23424i | −0.210545 | + | 0.197932i | ||||
\(268\) | −18.1832 | + | 16.7218i | −1.11072 | + | 1.02145i | ||||
\(269\) | −17.0236 | −1.03794 | −0.518972 | − | 0.854791i | \(-0.673685\pi\) | ||||
−0.518972 | + | 0.854791i | \(0.673685\pi\) | |||||||
\(270\) | 6.29917 | − | 3.78424i | 0.383355 | − | 0.230301i | ||||
\(271\) | − | 31.1779i | − | 1.89392i | −0.321350 | − | 0.946960i | \(-0.604137\pi\) | ||
0.321350 | − | 0.946960i | \(-0.395863\pi\) | |||||||
\(272\) | 5.76934 | + | 12.2577i | 0.349818 | + | 0.743232i | ||||
\(273\) | 11.3114 | + | 12.0322i | 0.684595 | + | 0.728220i | ||||
\(274\) | −12.8970 | + | 5.02867i | −0.779139 | + | 0.303793i | ||||
\(275\) | 4.02755 | − | 2.32531i | 0.242871 | − | 0.140221i | ||||
\(276\) | −28.7815 | − | 2.09646i | −1.73244 | − | 0.126192i | ||||
\(277\) | 9.16573 | + | 5.29183i | 0.550715 | + | 0.317956i | 0.749410 | − | 0.662106i | \(-0.230337\pi\) |
−0.198695 | + | 0.980061i | \(0.563670\pi\) | |||||||
\(278\) | 8.76624 | + | 1.34123i | 0.525764 | + | 0.0804414i | ||||
\(279\) | 7.53568 | + | 15.1389i | 0.451149 | + | 0.906339i | ||||
\(280\) | −3.17175 | + | 6.47543i | −0.189548 | + | 0.386981i | ||||
\(281\) | −9.33995 | − | 5.39242i | −0.557175 | − | 0.321685i | 0.194836 | − | 0.980836i | \(-0.437582\pi\) |
−0.752011 | + | 0.659151i | \(0.770916\pi\) | |||||||
\(282\) | −1.30819 | + | 2.74670i | −0.0779014 | + | 0.163563i | ||||
\(283\) | 6.51583 | + | 11.2858i | 0.387326 | + | 0.670868i | 0.992089 | − | 0.125537i | \(-0.0400655\pi\) |
−0.604763 | + | 0.796406i | \(0.706732\pi\) | |||||||
\(284\) | −2.37040 | − | 10.6024i | −0.140657 | − | 0.629134i | ||||
\(285\) | −2.56312 | + | 8.50632i | −0.151826 | + | 0.503871i | ||||
\(286\) | −15.3794 | + | 19.1975i | −0.909405 | + | 1.13517i | ||||
\(287\) | 15.4000 | 0.909032 | ||||||||
\(288\) | −16.2263 | − | 4.97048i | −0.956147 | − | 0.292888i | ||||
\(289\) | 5.52898 | 0.325234 | ||||||||
\(290\) | 3.57195 | − | 4.45873i | 0.209752 | − | 0.261825i | ||||
\(291\) | −4.43777 | + | 1.04343i | −0.260146 | + | 0.0611672i | ||||
\(292\) | −5.84693 | − | 26.1523i | −0.342166 | − | 1.53045i | ||||
\(293\) | 8.77812 | + | 15.2041i | 0.512823 | + | 0.888236i | 0.999889 | + | 0.0148707i | \(0.00473368\pi\) |
−0.487066 | + | 0.873365i | \(0.661933\pi\) | |||||||
\(294\) | 0.695814 | + | 1.01118i | 0.0405807 | + | 0.0589732i | ||||
\(295\) | −0.351174 | − | 0.202750i | −0.0204461 | − | 0.0118046i | ||||
\(296\) | −9.20943 | + | 18.8019i | −0.535287 | + | 1.09284i | ||||
\(297\) | −23.8203 | + | 4.06918i | −1.38219 | + | 0.236118i | ||||
\(298\) | −6.74603 | − | 1.03214i | −0.390787 | − | 0.0597901i | ||||
\(299\) | 26.9824 | + | 15.5783i | 1.56043 | + | 0.900917i | ||||
\(300\) | −1.50953 | − | 3.11790i | −0.0871527 | − | 0.180012i | ||||
\(301\) | −23.2376 | + | 13.4162i | −1.33939 | + | 0.773299i | ||||
\(302\) | 16.2208 | − | 6.32464i | 0.933403 | − | 0.363942i | ||||
\(303\) | 26.5415 | − | 6.24059i | 1.52477 | − | 0.358513i | ||||
\(304\) | 18.5635 | − | 8.73730i | 1.06469 | − | 0.501119i | ||||
\(305\) | − | 5.28415i | − | 0.302569i | ||||||
\(306\) | 9.65887 | − | 10.6388i | 0.552161 | − | 0.608181i | ||||
\(307\) | −14.8826 | −0.849397 | −0.424699 | − | 0.905335i | \(-0.639620\pi\) | ||||
−0.424699 | + | 0.905335i | \(0.639620\pi\) | |||||||
\(308\) | 17.4533 | − | 16.0506i | 0.994495 | − | 0.914565i | ||||
\(309\) | 15.6868 | + | 4.72675i | 0.892392 | + | 0.268896i | ||||
\(310\) | 7.42717 | − | 2.89592i | 0.421835 | − | 0.164477i | ||||
\(311\) | 3.87344 | + | 6.70899i | 0.219642 | + | 0.380432i | 0.954699 | − | 0.297574i | \(-0.0961776\pi\) |
−0.735056 | + | 0.678006i | \(0.762844\pi\) | |||||||
\(312\) | 13.4296 | + | 12.4642i | 0.760303 | + | 0.705649i | ||||
\(313\) | 9.95594 | − | 17.2442i | 0.562743 | − | 0.974700i | −0.434513 | − | 0.900666i | \(-0.643079\pi\) |
0.997256 | − | 0.0740338i | \(-0.0235873\pi\) | |||||||
\(314\) | −1.51886 | + | 9.92727i | −0.0857144 | + | 0.560228i | ||||
\(315\) | 7.63331 | + | 0.471850i | 0.430088 | + | 0.0265858i | ||||
\(316\) | 3.73059 | − | 11.9062i | 0.209862 | − | 0.669774i | ||||
\(317\) | 17.6886 | − | 30.6376i | 0.993493 | − | 1.72078i | 0.398109 | − | 0.917338i | \(-0.369666\pi\) |
0.595383 | − | 0.803442i | \(-0.297000\pi\) | |||||||
\(318\) | −5.01618 | + | 0.397658i | −0.281294 | + | 0.0222996i | ||||
\(319\) | −16.2703 | + | 9.39366i | −0.910962 | + | 0.525944i | ||||
\(320\) | −3.02175 | + | 7.40736i | −0.168921 | + | 0.414084i | ||||
\(321\) | 11.5420 | − | 10.8506i | 0.644212 | − | 0.605620i | ||||
\(322\) | −23.4395 | − | 18.7778i | −1.30623 | − | 1.04644i | ||||
\(323\) | 17.3721i | 0.966612i | ||||||||
\(324\) | 1.73400 | + | 17.9163i | 0.0963334 | + | 0.995349i | ||||
\(325\) | 3.74006i | 0.207461i | ||||||||
\(326\) | −4.32080 | + | 5.39348i | −0.239307 | + | 0.298717i | ||||
\(327\) | −2.82752 | + | 2.65813i | −0.156362 | + | 0.146995i | ||||
\(328\) | 17.0466 | − | 1.16324i | 0.941239 | − | 0.0642293i | ||||
\(329\) | −2.74207 | + | 1.58314i | −0.151175 | + | 0.0872812i | ||||
\(330\) | 0.900248 | + | 11.3560i | 0.0495570 | + | 0.625128i | ||||
\(331\) | 0.0768415 | − | 0.133093i | 0.00422359 | − | 0.00731547i | −0.863906 | − | 0.503653i | \(-0.831989\pi\) |
0.868129 | + | 0.496338i | \(0.165322\pi\) | |||||||
\(332\) | 8.33955 | − | 26.6156i | 0.457692 | − | 1.46072i | ||||
\(333\) | 22.1639 | + | 1.37005i | 1.21457 | + | 0.0750785i | ||||
\(334\) | 20.7374 | + | 3.17280i | 1.13470 | + | 0.173608i | ||||
\(335\) | 6.17580 | − | 10.6968i | 0.337420 | − | 0.584429i | ||||
\(336\) | −10.9795 | − | 13.8346i | −0.598982 | − | 0.754741i | ||||
\(337\) | 9.38668 | + | 16.2582i | 0.511325 | + | 0.885641i | 0.999914 | + | 0.0131265i | \(0.00417842\pi\) |
−0.488589 | + | 0.872514i | \(0.662488\pi\) | |||||||
\(338\) | −0.507590 | − | 1.30182i | −0.0276092 | − | 0.0708095i | ||||
\(339\) | 10.2931 | + | 3.10153i | 0.559047 | + | 0.168452i | ||||
\(340\) | −4.58523 | − | 4.98596i | −0.248669 | − | 0.270402i | ||||
\(341\) | −26.2150 | −1.41962 | ||||||||
\(342\) | −16.1118 | − | 14.6278i | −0.871228 | − | 0.790978i | ||||
\(343\) | 19.1225i | 1.03252i | ||||||||
\(344\) | −24.7088 | + | 16.6060i | −1.33221 | + | 0.895333i | ||||
\(345\) | 14.0459 | − | 3.30254i | 0.756203 | − | 0.177803i | ||||
\(346\) | 3.30909 | + | 8.48683i | 0.177898 | + | 0.456255i | ||||
\(347\) | 21.2257 | − | 12.2547i | 1.13945 | − | 0.657864i | 0.193159 | − | 0.981168i | \(-0.438127\pi\) |
0.946295 | + | 0.323303i | \(0.104793\pi\) | |||||||
\(348\) | 6.09812 | + | 12.5955i | 0.326893 | + | 0.675192i | ||||
\(349\) | 20.5838 | + | 11.8841i | 1.10183 | + | 0.636140i | 0.936700 | − | 0.350133i | \(-0.113863\pi\) |
0.165126 | + | 0.986272i | \(0.447197\pi\) | |||||||
\(350\) | 0.545254 | − | 3.56377i | 0.0291451 | − | 0.190492i | ||||
\(351\) | 6.74417 | − | 18.2262i | 0.359977 | − | 0.972840i | ||||
\(352\) | 18.1071 | − | 19.0850i | 0.965109 | − | 1.01724i | ||||
\(353\) | −0.676798 | − | 0.390750i | −0.0360223 | − | 0.0207975i | 0.481881 | − | 0.876237i | \(-0.339954\pi\) |
−0.517903 | + | 0.855439i | \(0.673287\pi\) | |||||||
\(354\) | 0.818259 | − | 0.563061i | 0.0434900 | − | 0.0299263i | ||||
\(355\) | 2.71603 | + | 4.70430i | 0.144152 | + | 0.249678i | ||||
\(356\) | −5.32100 | + | 1.18963i | −0.282012 | + | 0.0630502i | ||||
\(357\) | 14.5578 | − | 3.42292i | 0.770482 | − | 0.181160i | ||||
\(358\) | 9.67615 | + | 7.75171i | 0.511401 | + | 0.409691i | ||||
\(359\) | −10.9728 | −0.579123 | −0.289561 | − | 0.957159i | \(-0.593509\pi\) | ||||
−0.289561 | + | 0.957159i | \(0.593509\pi\) | |||||||
\(360\) | 8.48511 | − | 0.0542829i | 0.447204 | − | 0.00286096i | ||||
\(361\) | 7.30901 | 0.384685 | ||||||||
\(362\) | 16.9500 | + | 13.5789i | 0.890872 | + | 0.713691i | ||||
\(363\) | 5.31103 | − | 17.6259i | 0.278757 | − | 0.925119i | ||||
\(364\) | 4.16059 | + | 18.6096i | 0.218074 | + | 0.975407i | ||||
\(365\) | 6.69948 | + | 11.6038i | 0.350667 | + | 0.607373i | ||||
\(366\) | 11.6858 | + | 5.56565i | 0.610824 | + | 0.290921i | ||||
\(367\) | 7.62051 | + | 4.39970i | 0.397787 | + | 0.229663i | 0.685529 | − | 0.728045i | \(-0.259571\pi\) |
−0.287741 | + | 0.957708i | \(0.592904\pi\) | |||||||
\(368\) | −27.3641 | − | 19.0150i | −1.42645 | − | 0.991224i | ||||
\(369\) | −8.07575 | − | 16.2238i | −0.420407 | − | 0.844579i | ||||
\(370\) | 1.58319 | − | 10.3477i | 0.0823060 | − | 0.537951i | ||||
\(371\) | −4.53533 | − | 2.61847i | −0.235462 | − | 0.135944i | ||||
\(372\) | −1.41858 | + | 19.4752i | −0.0735502 | + | 1.00974i | ||||
\(373\) | −15.1314 | + | 8.73611i | −0.783473 | + | 0.452338i | −0.837660 | − | 0.546192i | \(-0.816077\pi\) |
0.0541866 | + | 0.998531i | \(0.482743\pi\) | |||||||
\(374\) | 8.09204 | + | 20.7537i | 0.418430 | + | 1.07315i | ||||
\(375\) | 1.18636 | + | 1.26196i | 0.0612635 | + | 0.0651674i | ||||
\(376\) | −2.91568 | + | 1.95953i | −0.150365 | + | 0.101055i | ||||
\(377\) | − | 15.1089i | − | 0.778147i | ||||||
\(378\) | −9.08344 | + | 16.3839i | −0.467202 | + | 0.842696i | ||||
\(379\) | −25.7713 | −1.32378 | −0.661892 | − | 0.749600i | \(-0.730246\pi\) | ||||
−0.661892 | + | 0.749600i | \(0.730246\pi\) | |||||||
\(380\) | −7.55092 | + | 6.94404i | −0.387354 | + | 0.356222i | ||||
\(381\) | −16.1881 | + | 15.2183i | −0.829339 | + | 0.779657i | ||||
\(382\) | −1.53718 | − | 3.94240i | −0.0786488 | − | 0.201711i | ||||
\(383\) | −18.0206 | − | 31.2126i | −0.920809 | − | 1.59489i | −0.798166 | − | 0.602437i | \(-0.794196\pi\) |
−0.122643 | − | 0.992451i | \(-0.539137\pi\) | |||||||
\(384\) | −13.1985 | − | 14.4845i | −0.673531 | − | 0.739159i | ||||
\(385\) | −5.92789 | + | 10.2674i | −0.302113 | + | 0.523276i | ||||
\(386\) | 3.56786 | + | 0.545879i | 0.181599 | + | 0.0277845i | ||||
\(387\) | 26.3198 | + | 17.4453i | 1.33791 | + | 0.886792i | ||||
\(388\) | −5.02322 | − | 1.57394i | −0.255015 | − | 0.0799047i | ||||
\(389\) | 9.31753 | − | 16.1384i | 0.472418 | − | 0.818251i | −0.527084 | − | 0.849813i | \(-0.676715\pi\) |
0.999502 | + | 0.0315617i | \(0.0100481\pi\) | |||||||
\(390\) | −8.27104 | − | 3.93930i | −0.418820 | − | 0.199474i | ||||
\(391\) | 24.4345 | − | 14.1073i | 1.23571 | − | 0.713436i | ||||
\(392\) | 0.0964936 | + | 1.41405i | 0.00487366 | + | 0.0714204i | ||||
\(393\) | −15.9518 | − | 4.80660i | −0.804662 | − | 0.242461i | ||||
\(394\) | 9.29889 | − | 11.6074i | 0.468471 | − | 0.584774i | ||||
\(395\) | 6.23847i | 0.313892i | ||||||||
\(396\) | −26.0617 | − | 9.97010i | −1.30965 | − | 0.501017i | ||||
\(397\) | − | 27.9154i | − | 1.40103i | −0.713635 | − | 0.700517i | \(-0.752953\pi\) | ||
0.713635 | − | 0.700517i | \(-0.247047\pi\) | |||||||
\(398\) | 13.7040 | + | 10.9784i | 0.686917 | + | 0.550300i | ||||
\(399\) | −5.18380 | − | 22.0469i | −0.259515 | − | 1.10373i | ||||
\(400\) | 0.334363 | − | 3.98600i | 0.0167181 | − | 0.199300i | ||||
\(401\) | −12.3568 | + | 7.13421i | −0.617070 | + | 0.356265i | −0.775727 | − | 0.631068i | \(-0.782617\pi\) |
0.158657 | + | 0.987334i | \(0.449283\pi\) | |||||||
\(402\) | 17.1509 | + | 24.9243i | 0.855409 | + | 1.24311i | ||||
\(403\) | 10.5412 | − | 18.2578i | 0.525092 | − | 0.909486i | ||||
\(404\) | 30.0430 | + | 9.41346i | 1.49469 | + | 0.468337i | ||||
\(405\) | −3.50581 | − | 8.28911i | −0.174205 | − | 0.411889i | ||||
\(406\) | −2.20269 | + | 14.3967i | −0.109318 | + | 0.714498i | ||||
\(407\) | −17.2121 | + | 29.8122i | −0.853172 | + | 1.47774i | ||||
\(408\) | 15.8558 | − | 4.88854i | 0.784980 | − | 0.242019i | ||||
\(409\) | 2.20480 | + | 3.81883i | 0.109020 | + | 0.188829i | 0.915374 | − | 0.402605i | \(-0.131895\pi\) |
−0.806353 | + | 0.591434i | \(0.798562\pi\) | |||||||
\(410\) | −7.95946 | + | 3.10347i | −0.393090 | + | 0.153269i | ||||
\(411\) | 3.88046 | + | 16.5037i | 0.191409 | + | 0.814070i | ||||
\(412\) | 12.8058 | + | 13.9249i | 0.630894 | + | 0.686032i | ||||
\(413\) | 1.03374 | 0.0508670 | ||||||||
\(414\) | −7.49062 | + | 34.5405i | −0.368144 | + | 1.69757i | ||||
\(415\) | 13.9458i | 0.684571i | ||||||||
\(416\) | 6.01112 | + | 20.2850i | 0.294719 | + | 0.994556i | ||||
\(417\) | 3.13358 | − | 10.3995i | 0.153452 | − | 0.509265i | ||||
\(418\) | 31.4301 | − | 12.2549i | 1.53730 | − | 0.599406i | ||||
\(419\) | 17.8653 | − | 10.3145i | 0.872777 | − | 0.503898i | 0.00450661 | − | 0.999990i | \(-0.498565\pi\) |
0.868270 | + | 0.496092i | \(0.165232\pi\) | |||||||
\(420\) | 7.30689 | + | 4.95944i | 0.356540 | + | 0.241996i | ||||
\(421\) | 3.57346 | + | 2.06314i | 0.174160 | + | 0.100551i | 0.584546 | − | 0.811361i | \(-0.301273\pi\) |
−0.410386 | + | 0.911912i | \(0.634606\pi\) | |||||||
\(422\) | −21.8049 | − | 3.33613i | −1.06145 | − | 0.162400i | ||||
\(423\) | 3.10577 | + | 2.05857i | 0.151008 | + | 0.100091i | ||||
\(424\) | −5.21803 | − | 2.55586i | −0.253410 | − | 0.124124i | ||||
\(425\) | 2.93313 | + | 1.69345i | 0.142278 | + | 0.0821442i | ||||
\(426\) | −13.2641 | + | 1.05152i | −0.642650 | + | 0.0509461i | ||||
\(427\) | 6.73542 | + | 11.6661i | 0.325950 | + | 0.564562i | ||||
\(428\) | 17.8515 | − | 3.99110i | 0.862883 | − | 0.192917i | ||||
\(429\) | 20.6351 | + | 21.9500i | 0.996271 | + | 1.05976i | ||||
\(430\) | 9.30663 | − | 11.6171i | 0.448806 | − | 0.560226i | ||||
\(431\) | 26.0944 | 1.25692 | 0.628462 | − | 0.777841i | \(-0.283685\pi\) | ||||
0.628462 | + | 0.777841i | \(0.283685\pi\) | |||||||
\(432\) | −8.81709 | + | 18.8218i | −0.424212 | + | 0.905563i | ||||
\(433\) | 0.448125 | 0.0215355 | 0.0107677 | − | 0.999942i | \(-0.496572\pi\) | ||||
0.0107677 | + | 0.999942i | \(0.496572\pi\) | |||||||
\(434\) | −12.7061 | + | 15.8605i | −0.609911 | + | 0.761328i | ||||
\(435\) | −4.79260 | − | 5.09800i | −0.229788 | − | 0.244430i | ||||
\(436\) | −4.37319 | + | 0.977724i | −0.209438 | + | 0.0468245i | ||||
\(437\) | −21.3646 | − | 37.0045i | −1.02201 | − | 1.77017i | ||||
\(438\) | −32.7180 | + | 2.59372i | −1.56333 | + | 0.123933i | ||||
\(439\) | 29.0457 | + | 16.7695i | 1.38627 | + | 0.800366i | 0.992893 | − | 0.119010i | \(-0.0379720\pi\) |
0.393381 | + | 0.919376i | \(0.371305\pi\) | |||||||
\(440\) | −5.78616 | + | 11.8130i | −0.275844 | + | 0.563162i | ||||
\(441\) | 1.34581 | − | 0.669903i | 0.0640860 | − | 0.0319001i | ||||
\(442\) | −17.7080 | − | 2.70931i | −0.842284 | − | 0.128869i | ||||
\(443\) | −32.1997 | − | 18.5905i | −1.52986 | − | 0.883262i | −0.999367 | − | 0.0355701i | \(-0.988675\pi\) |
−0.530488 | − | 0.847692i | \(-0.677991\pi\) | |||||||
\(444\) | 21.2161 | + | 14.4001i | 1.00687 | + | 0.683400i | ||||
\(445\) | 2.36094 | − | 1.36309i | 0.111919 | − | 0.0646167i | ||||
\(446\) | 2.18644 | − | 0.852512i | 0.103531 | − | 0.0403676i | ||||
\(447\) | −2.41143 | + | 8.00290i | −0.114057 | + | 0.378524i | ||||
\(448\) | −2.77048 | − | 20.2053i | −0.130893 | − | 0.954610i | ||||
\(449\) | − | 26.7099i | − | 1.26052i | −0.776384 | − | 0.630260i | \(-0.782948\pi\) | ||
0.776384 | − | 0.630260i | \(-0.217052\pi\) | |||||||
\(450\) | −4.04036 | + | 1.29442i | −0.190464 | + | 0.0610195i | ||||
\(451\) | 28.0938 | 1.32289 | ||||||||
\(452\) | 8.40269 | + | 9.13705i | 0.395229 | + | 0.429771i | ||||
\(453\) | −4.88052 | − | 20.7570i | −0.229307 | − | 0.975251i | ||||
\(454\) | −12.9533 | + | 5.05059i | −0.607927 | + | 0.237036i | ||||
\(455\) | −4.76725 | − | 8.25712i | −0.223492 | − | 0.387100i | ||||
\(456\) | −7.40338 | − | 24.0126i | −0.346695 | − | 1.12449i | ||||
\(457\) | 20.4459 | − | 35.4134i | 0.956421 | − | 1.65657i | 0.225338 | − | 0.974281i | \(-0.427651\pi\) |
0.731083 | − | 0.682289i | \(-0.239015\pi\) | |||||||
\(458\) | 2.32133 | − | 15.1722i | 0.108469 | − | 0.708949i | ||||
\(459\) | −11.2402 | − | 13.5417i | −0.524646 | − | 0.632070i | ||||
\(460\) | 15.8989 | + | 4.98164i | 0.741288 | + | 0.232270i | ||||
\(461\) | 5.52803 | − | 9.57483i | 0.257466 | − | 0.445944i | −0.708096 | − | 0.706116i | \(-0.750446\pi\) |
0.965562 | + | 0.260171i | \(0.0837791\pi\) | |||||||
\(462\) | −16.4624 | − | 23.9238i | −0.765901 | − | 1.11303i | ||||
\(463\) | −19.4701 | + | 11.2411i | −0.904851 | + | 0.522416i | −0.878771 | − | 0.477244i | \(-0.841636\pi\) |
−0.0260804 | + | 0.999660i | \(0.508303\pi\) | |||||||
\(464\) | −1.35074 | + | 16.1024i | −0.0627065 | + | 0.747537i | ||||
\(465\) | −2.23469 | − | 9.50421i | −0.103631 | − | 0.440747i | ||||
\(466\) | −29.0311 | − | 23.2573i | −1.34484 | − | 1.07737i | ||||
\(467\) | 20.5034i | 0.948784i | 0.880314 | + | 0.474392i | \(0.157332\pi\) | ||||
−0.880314 | + | 0.474392i | \(0.842668\pi\) | |||||||
\(468\) | 17.4233 | − | 14.1420i | 0.805393 | − | 0.653715i | ||||
\(469\) | 31.4879i | 1.45397i | ||||||||
\(470\) | 1.09820 | − | 1.37084i | 0.0506561 | − | 0.0632320i | ||||
\(471\) | 11.7768 | + | 3.54860i | 0.542648 | + | 0.163511i | ||||
\(472\) | 1.14427 | − | 0.0780838i | 0.0526692 | − | 0.00359410i | ||||
\(473\) | −42.3918 | + | 24.4749i | −1.94918 | + | 1.12536i | ||||
\(474\) | −13.7962 | − | 6.57081i | −0.633681 | − | 0.301807i | ||||
\(475\) | 2.56462 | − | 4.44204i | 0.117673 | − | 0.203815i | ||||
\(476\) | 16.4784 | + | 5.16322i | 0.755285 | + | 0.236656i | ||||
\(477\) | −0.380227 | + | 6.15108i | −0.0174094 | + | 0.281639i | ||||
\(478\) | −8.89026 | − | 1.36020i | −0.406631 | − | 0.0622142i | ||||
\(479\) | −0.870737 | + | 1.50816i | −0.0397850 | + | 0.0689096i | −0.885232 | − | 0.465149i | \(-0.846001\pi\) |
0.845447 | + | 0.534059i | \(0.179334\pi\) | |||||||
\(480\) | 8.46276 | + | 4.93778i | 0.386270 | + | 0.225378i | ||||
\(481\) | −13.8421 | − | 23.9752i | −0.631145 | − | 1.09317i | ||||
\(482\) | −5.87253 | − | 15.0613i | −0.267486 | − | 0.686022i | ||||
\(483\) | −26.8002 | + | 25.1947i | −1.21945 | + | 1.14640i | ||||
\(484\) | 15.6462 | − | 14.3887i | 0.711192 | − | 0.654032i | ||||
\(485\) | 2.63202 | 0.119514 | ||||||||
\(486\) | 22.0237 | + | 0.977672i | 0.999016 | + | 0.0443481i | ||||
\(487\) | 0.442827i | 0.0200664i | 0.999950 | + | 0.0100332i | \(0.00319372\pi\) | ||||
−0.999950 | + | 0.0100332i | \(0.996806\pi\) | |||||||
\(488\) | 8.33678 | + | 12.4047i | 0.377388 | + | 0.561533i | ||||
\(489\) | 5.79735 | + | 6.16678i | 0.262165 | + | 0.278871i | ||||
\(490\) | −0.257440 | − | 0.660257i | −0.0116299 | − | 0.0298273i | ||||
\(491\) | −25.3759 | + | 14.6508i | −1.14520 | + | 0.661181i | −0.947713 | − | 0.319124i | \(-0.896611\pi\) |
−0.197487 | + | 0.980306i | \(0.563278\pi\) | |||||||
\(492\) | 1.52025 | − | 20.8709i | 0.0685383 | − | 0.940935i | ||||
\(493\) | −11.8491 | − | 6.84109i | −0.533657 | − | 0.308107i | ||||
\(494\) | −4.10308 | + | 26.8177i | −0.184606 | + | 1.20658i | ||||
\(495\) | 13.9253 | + | 0.860786i | 0.625895 | + | 0.0386895i | ||||
\(496\) | −12.8666 | + | 18.5161i | −0.577727 | + | 0.831395i | ||||
\(497\) | −11.9926 | − | 6.92395i | −0.537943 | − | 0.310582i | ||||
\(498\) | −30.8407 | − | 14.6887i | −1.38201 | − | 0.658216i | ||||
\(499\) | 14.0808 | + | 24.3886i | 0.630341 | + | 1.09178i | 0.987482 | + | 0.157733i | \(0.0504184\pi\) |
−0.357141 | + | 0.934051i | \(0.616248\pi\) | |||||||
\(500\) | 0.436372 | + | 1.95181i | 0.0195151 | + | 0.0872878i | ||||
\(501\) | 7.41277 | − | 24.6010i | 0.331178 | − | 1.09909i | ||||
\(502\) | 19.1136 | + | 15.3122i | 0.853080 | + | 0.683416i | ||||
\(503\) | −15.0167 | −0.669560 | −0.334780 | − | 0.942296i | \(-0.608662\pi\) | ||||
−0.334780 | + | 0.942296i | \(0.608662\pi\) | |||||||
\(504\) | −18.6638 | + | 10.9354i | −0.831353 | + | 0.487099i | ||||
\(505\) | −15.7416 | −0.700493 | ||||||||
\(506\) | −42.7602 | − | 34.2558i | −1.90092 | − | 1.52286i | ||||
\(507\) | −1.66587 | + | 0.391690i | −0.0739841 | + | 0.0173956i | ||||
\(508\) | −25.0373 | + | 5.59765i | −1.11085 | + | 0.248355i | ||||
\(509\) | 9.57636 | + | 16.5867i | 0.424465 | + | 0.735194i | 0.996370 | − | 0.0851250i | \(-0.0271290\pi\) |
−0.571906 | + | 0.820319i | \(0.693796\pi\) | |||||||
\(510\) | −6.83440 | + | 4.70289i | −0.302632 | + | 0.208247i | ||||
\(511\) | −29.5816 | − | 17.0789i | −1.30861 | − | 0.755528i | ||||
\(512\) | −4.59291 | − | 22.1564i | −0.202980 | − | 0.979183i | ||||
\(513\) | −20.5080 | + | 17.0225i | −0.905449 | + | 0.751563i | ||||
\(514\) | −1.42622 | + | 9.32175i | −0.0629078 | + | 0.411165i | ||||
\(515\) | −8.19174 | − | 4.72950i | −0.360971 | − | 0.208407i | ||||
\(516\) | 15.8885 | + | 32.8173i | 0.699451 | + | 1.44470i | ||||
\(517\) | −5.00231 | + | 2.88808i | −0.220001 | + | 0.127018i | ||||
\(518\) | 9.69437 | + | 24.8632i | 0.425946 | + | 1.09242i | ||||
\(519\) | 10.8602 | − | 2.55352i | 0.476710 | − | 0.112087i | ||||
\(520\) | −5.90067 | − | 8.77988i | −0.258761 | − | 0.385023i | ||||
\(521\) | 36.1713i | 1.58469i | 0.610072 | + | 0.792346i | \(0.291141\pi\) | ||||
−0.610072 | + | 0.792346i | \(0.708859\pi\) | |||||||
\(522\) | 16.3220 | − | 5.22913i | 0.714395 | − | 0.228873i | ||||
\(523\) | 12.2116 | 0.533975 | 0.266988 | − | 0.963700i | \(-0.413972\pi\) | ||||
0.266988 | + | 0.963700i | \(0.413972\pi\) | |||||||
\(524\) | −13.0221 | − | 14.1602i | −0.568872 | − | 0.618589i | ||||
\(525\) | −4.22775 | − | 1.27391i | −0.184514 | − | 0.0555978i | ||||
\(526\) | −13.1965 | − | 33.8451i | −0.575395 | − | 1.47572i | ||||
\(527\) | −9.54577 | − | 16.5338i | −0.415820 | − | 0.720222i | ||||
\(528\) | −20.0297 | − | 25.2382i | −0.871680 | − | 1.09835i | ||||
\(529\) | −23.1988 | + | 40.1815i | −1.00864 | + | 1.74702i | ||||
\(530\) | 2.87176 | + | 0.439377i | 0.124741 | + | 0.0190853i | ||||
\(531\) | −0.542093 | − | 1.08904i | −0.0235248 | − | 0.0472604i | ||||
\(532\) | 7.81937 | − | 24.9555i | 0.339013 | − | 1.08196i | ||||
\(533\) | −11.2966 | + | 19.5663i | −0.489311 | + | 0.847512i | ||||
\(534\) | 0.527723 | + | 6.65687i | 0.0228368 | + | 0.288071i | ||||
\(535\) | −7.92074 | + | 4.57304i | −0.342444 | + | 0.197710i | ||||
\(536\) | 2.37844 | + | 34.8546i | 0.102733 | + | 1.50549i | ||||
\(537\) | 11.0635 | − | 10.4007i | 0.477425 | − | 0.448824i | ||||
\(538\) | −15.0523 | + | 18.7892i | −0.648950 | + | 0.810058i | ||||
\(539\) | 2.33045i | 0.100380i | ||||||||
\(540\) | 1.39302 | − | 10.2985i | 0.0599461 | − | 0.443178i | ||||
\(541\) | 34.9053i | 1.50070i | 0.661042 | + | 0.750349i | \(0.270114\pi\) | ||||
−0.661042 | + | 0.750349i | \(0.729886\pi\) | |||||||
\(542\) | −34.4115 | − | 27.5676i | −1.47810 | − | 1.18413i | ||||
\(543\) | 19.3802 | − | 18.2192i | 0.831685 | − | 0.781862i | ||||
\(544\) | 18.6303 | + | 4.47058i | 0.798766 | + | 0.191674i | ||||
\(545\) | 1.94039 | − | 1.12029i | 0.0831174 | − | 0.0479878i | ||||
\(546\) | 23.2816 | − | 1.84565i | 0.996361 | − | 0.0789865i | ||||
\(547\) | 11.0482 | − | 19.1361i | 0.472388 | − | 0.818200i | −0.527113 | − | 0.849795i | \(-0.676725\pi\) |
0.999501 | + | 0.0315955i | \(0.0100588\pi\) | |||||||
\(548\) | −5.85338 | + | 18.6810i | −0.250044 | + | 0.798013i | ||||
\(549\) | 8.75814 | − | 13.2134i | 0.373788 | − | 0.563936i | ||||
\(550\) | 0.994695 | − | 6.50131i | 0.0424139 | − | 0.277217i | ||||
\(551\) | −10.3604 | + | 17.9447i | −0.441368 | + | 0.764471i | ||||
\(552\) | −27.7626 | + | 29.9129i | −1.18165 | + | 1.27318i | ||||
\(553\) | −7.95185 | − | 13.7730i | −0.338147 | − | 0.585688i | ||||
\(554\) | 13.9450 | − | 5.43729i | 0.592468 | − | 0.231008i | ||||
\(555\) | −12.2756 | − | 3.69888i | −0.521070 | − | 0.157009i | ||||
\(556\) | 9.23146 | − | 8.48951i | 0.391501 | − | 0.360035i | ||||
\(557\) | 11.3188 | 0.479591 | 0.239796 | − | 0.970823i | \(-0.422920\pi\) | ||||
0.239796 | + | 0.970823i | \(0.422920\pi\) | |||||||
\(558\) | 23.3720 | + | 5.06857i | 0.989417 | + | 0.214570i | ||||
\(559\) | − | 39.3658i | − | 1.66500i | ||||||
\(560\) | 4.34255 | + | 9.22630i | 0.183506 | + | 0.389882i | ||||
\(561\) | 26.5575 | − | 6.24437i | 1.12126 | − | 0.263637i | ||||
\(562\) | −14.2101 | + | 5.54064i | −0.599417 | + | 0.233718i | ||||
\(563\) | −21.3524 | + | 12.3278i | −0.899896 | + | 0.519555i | −0.877167 | − | 0.480186i | \(-0.840569\pi\) |
−0.0227299 | + | 0.999742i | \(0.507236\pi\) | |||||||
\(564\) | 1.87487 | + | 3.87250i | 0.0789462 | + | 0.163062i | ||||
\(565\) | −5.37513 | − | 3.10333i | −0.226134 | − | 0.130558i | ||||
\(566\) | 18.2176 | + | 2.78727i | 0.765741 | + | 0.117158i | ||||
\(567\) | 18.3056 | + | 13.8316i | 0.768765 | + | 0.580873i | ||||
\(568\) | −13.7979 | − | 6.75839i | −0.578947 | − | 0.283576i | ||||
\(569\) | 10.4402 | + | 6.02768i | 0.437678 | + | 0.252693i | 0.702612 | − | 0.711573i | \(-0.252017\pi\) |
−0.264934 | + | 0.964266i | \(0.585350\pi\) | |||||||
\(570\) | 7.12223 | + | 10.3503i | 0.298317 | + | 0.433525i | ||||
\(571\) | −4.73898 | − | 8.20815i | −0.198320 | − | 0.343501i | 0.749664 | − | 0.661819i | \(-0.230215\pi\) |
−0.947984 | + | 0.318318i | \(0.896882\pi\) | |||||||
\(572\) | 7.59007 | + | 33.9490i | 0.317357 | + | 1.41948i | ||||
\(573\) | −5.04491 | + | 1.18619i | −0.210754 | + | 0.0495538i | ||||
\(574\) | 13.6167 | − | 16.9972i | 0.568350 | − | 0.709449i | ||||
\(575\) | −8.33052 | −0.347407 | ||||||||
\(576\) | −19.8334 | + | 13.5143i | −0.826390 | + | 0.563098i | ||||
\(577\) | 7.47489 | 0.311184 | 0.155592 | − | 0.987821i | \(-0.450272\pi\) | ||||
0.155592 | + | 0.987821i | \(0.450272\pi\) | |||||||
\(578\) | 4.88873 | − | 6.10241i | 0.203345 | − | 0.253827i | ||||
\(579\) | 1.27536 | − | 4.23259i | 0.0530023 | − | 0.175900i | ||||
\(580\) | −1.76283 | − | 7.88483i | −0.0731976 | − | 0.327400i | ||||
\(581\) | −17.7759 | − | 30.7888i | −0.737470 | − | 1.27734i | ||||
\(582\) | −2.77223 | + | 5.82064i | −0.114913 | + | 0.241273i | ||||
\(583\) | −8.27369 | − | 4.77682i | −0.342661 | − | 0.197836i | ||||
\(584\) | −34.0345 | − | 16.6706i | −1.40836 | − | 0.689833i | ||||
\(585\) | −6.19890 | + | 9.35232i | −0.256293 | + | 0.386671i | ||||
\(586\) | 24.5427 | + | 3.75501i | 1.01385 | + | 0.155118i | ||||
\(587\) | −29.4957 | − | 17.0293i | −1.21742 | − | 0.702876i | −0.253052 | − | 0.967453i | \(-0.581434\pi\) |
−0.964365 | + | 0.264577i | \(0.914768\pi\) | |||||||
\(588\) | 1.73129 | + | 0.126109i | 0.0713974 | + | 0.00520063i | ||||
\(589\) | −25.0393 | + | 14.4565i | −1.03173 | + | 0.595668i | ||||
\(590\) | −0.534287 | + | 0.208323i | −0.0219963 | + | 0.00857654i | ||||
\(591\) | −12.4766 | − | 13.2717i | −0.513219 | − | 0.545923i | ||||
\(592\) | 12.6089 | + | 26.7893i | 0.518224 | + | 1.10103i | ||||
\(593\) | 5.46511i | 0.224425i | 0.993684 | + | 0.112213i | \(0.0357937\pi\) | ||||
−0.993684 | + | 0.112213i | \(0.964206\pi\) | |||||||
\(594\) | −16.5707 | + | 29.8887i | −0.679905 | + | 1.22635i | ||||
\(595\) | −8.63417 | −0.353967 | ||||||||
\(596\) | −7.10404 | + | 6.53308i | −0.290993 | + | 0.267605i | ||||
\(597\) | 15.6688 | − | 14.7301i | 0.641280 | − | 0.602864i | ||||
\(598\) | 41.0519 | − | 16.0065i | 1.67874 | − | 0.654555i | ||||
\(599\) | −8.10483 | − | 14.0380i | −0.331154 | − | 0.573576i | 0.651584 | − | 0.758576i | \(-0.274105\pi\) |
−0.982738 | + | 0.185000i | \(0.940771\pi\) | |||||||
\(600\) | −4.77601 | − | 1.09077i | −0.194980 | − | 0.0445304i | ||||
\(601\) | −4.73112 | + | 8.19455i | −0.192987 | + | 0.334263i | −0.946239 | − | 0.323469i | \(-0.895151\pi\) |
0.753252 | + | 0.657732i | \(0.228484\pi\) | |||||||
\(602\) | −5.73905 | + | 37.5103i | −0.233906 | + | 1.52881i | ||||
\(603\) | 33.1724 | − | 16.5122i | 1.35088 | − | 0.672430i | ||||
\(604\) | 7.36189 | − | 23.4954i | 0.299551 | − | 0.956015i | ||||
\(605\) | −5.31412 | + | 9.20433i | −0.216050 | + | 0.374209i | ||||
\(606\) | 16.5802 | − | 34.8122i | 0.673525 | − | 1.41415i | ||||
\(607\) | −13.9365 | + | 8.04627i | −0.565667 | + | 0.326588i | −0.755417 | − | 0.655244i | \(-0.772566\pi\) |
0.189750 | + | 0.981832i | \(0.439232\pi\) | |||||||
\(608\) | 6.77040 | − | 28.2144i | 0.274576 | − | 1.14424i | ||||
\(609\) | 17.0790 | + | 5.14625i | 0.692077 | + | 0.208537i | ||||
\(610\) | −5.83219 | − | 4.67226i | −0.236139 | − | 0.189174i | ||||
\(611\) | − | 4.64523i | − | 0.187926i | ||||||
\(612\) | −3.20183 | − | 20.0675i | −0.129426 | − | 0.811181i | ||||
\(613\) | − | 9.72482i | − | 0.392782i | −0.980526 | − | 0.196391i | \(-0.937078\pi\) | ||
0.980526 | − | 0.196391i | \(-0.0629221\pi\) | |||||||
\(614\) | −13.1593 | + | 16.4262i | −0.531065 | + | 0.662907i | ||||
\(615\) | 2.39484 | + | 10.1854i | 0.0965694 | + | 0.410713i | ||||
\(616\) | −2.28297 | − | 33.4554i | −0.0919834 | − | 1.34796i | ||||
\(617\) | 26.6764 | − | 15.4016i | 1.07395 | − | 0.620046i | 0.144692 | − | 0.989477i | \(-0.453781\pi\) |
0.929258 | + | 0.369431i | \(0.120447\pi\) | |||||||
\(618\) | 19.0873 | − | 13.1344i | 0.767804 | − | 0.528342i | ||||
\(619\) | 15.0957 | − | 26.1466i | 0.606749 | − | 1.05092i | −0.385024 | − | 0.922907i | \(-0.625807\pi\) |
0.991772 | − | 0.128013i | \(-0.0408600\pi\) | |||||||
\(620\) | 3.37085 | − | 10.7581i | 0.135377 | − | 0.432054i | ||||
\(621\) | 40.5965 | + | 15.0218i | 1.62908 | + | 0.602805i | ||||
\(622\) | 10.8297 | + | 1.65694i | 0.434232 | + | 0.0664371i | ||||
\(623\) | −3.47492 | + | 6.01873i | −0.139220 | + | 0.241135i | ||||
\(624\) | 25.6315 | − | 3.80157i | 1.02608 | − | 0.152185i | ||||
\(625\) | −0.500000 | − | 0.866025i | −0.0200000 | − | 0.0346410i | ||||
\(626\) | −10.2296 | − | 26.2359i | −0.408857 | − | 1.04860i | ||||
\(627\) | −9.45670 | − | 40.2197i | −0.377664 | − | 1.60622i | ||||
\(628\) | 9.61389 | + | 10.4541i | 0.383636 | + | 0.417164i | ||||
\(629\) | −25.0700 | −0.999606 | ||||||||
\(630\) | 7.27018 | − | 8.00778i | 0.289651 | − | 0.319038i | ||||
\(631\) | 28.3960i | 1.13043i | 0.824944 | + | 0.565214i | \(0.191206\pi\) | ||||
−0.824944 | + | 0.565214i | \(0.808794\pi\) | |||||||
\(632\) | −9.84241 | − | 14.6450i | −0.391510 | − | 0.582546i | ||||
\(633\) | −7.79437 | + | 25.8674i | −0.309798 | + | 1.02814i | ||||
\(634\) | −18.1748 | − | 46.6131i | −0.721815 | − | 1.85124i | ||||
\(635\) | 11.1091 | − | 6.41385i | 0.440852 | − | 0.254526i | ||||
\(636\) | −3.99642 | + | 5.88805i | −0.158468 | + | 0.233476i | ||||
\(637\) | −1.62307 | − | 0.937082i | −0.0643085 | − | 0.0371285i | ||||
\(638\) | −4.01832 | + | 26.2637i | −0.159087 | + | 1.03979i | ||||
\(639\) | −1.00542 | + | 16.2651i | −0.0397739 | + | 0.643438i | ||||
\(640\) | 5.50377 | + | 9.88476i | 0.217556 | + | 0.390730i | ||||
\(641\) | 3.53067 | + | 2.03844i | 0.139453 | + | 0.0805134i | 0.568103 | − | 0.822957i | \(-0.307677\pi\) |
−0.428650 | + | 0.903471i | \(0.641011\pi\) | |||||||
\(642\) | −1.77046 | − | 22.3332i | −0.0698746 | − | 0.881420i | ||||
\(643\) | −11.1471 | − | 19.3074i | −0.439600 | − | 0.761410i | 0.558058 | − | 0.829802i | \(-0.311547\pi\) |
−0.997659 | + | 0.0683917i | \(0.978213\pi\) | |||||||
\(644\) | −41.4506 | + | 9.26720i | −1.63338 | + | 0.365179i | ||||
\(645\) | −12.4870 | − | 13.2827i | −0.491675 | − | 0.523006i | ||||
\(646\) | 19.1739 | + | 15.3605i | 0.754386 | + | 0.604350i | ||||
\(647\) | −11.9935 | −0.471513 | −0.235757 | − | 0.971812i | \(-0.575757\pi\) | ||||
−0.235757 | + | 0.971812i | \(0.575757\pi\) | |||||||
\(648\) | 21.3077 | + | 13.9278i | 0.837044 | + | 0.547135i | ||||
\(649\) | 1.88583 | 0.0740253 | ||||||||
\(650\) | 4.12795 | + | 3.30697i | 0.161912 | + | 0.129710i | ||||
\(651\) | 17.0481 | + | 18.1345i | 0.668169 | + | 0.710747i | ||||
\(652\) | 2.13240 | + | 9.53786i | 0.0835113 | + | 0.373532i | ||||
\(653\) | 22.7175 | + | 39.3478i | 0.889004 | + | 1.53980i | 0.841055 | + | 0.540950i | \(0.181935\pi\) |
0.0479492 | + | 0.998850i | \(0.484731\pi\) | |||||||
\(654\) | 0.433721 | + | 5.47110i | 0.0169599 | + | 0.213937i | ||||
\(655\) | 8.33011 | + | 4.80939i | 0.325484 | + | 0.187919i | ||||
\(656\) | 13.7887 | − | 19.8431i | 0.538359 | − | 0.774742i | ||||
\(657\) | −2.48002 | + | 40.1203i | −0.0967549 | + | 1.56524i | ||||
\(658\) | −0.677217 | + | 4.42628i | −0.0264007 | + | 0.172554i | ||||
\(659\) | −11.4821 | − | 6.62918i | −0.447278 | − | 0.258236i | 0.259402 | − | 0.965769i | \(-0.416475\pi\) |
−0.706680 | + | 0.707533i | \(0.749808\pi\) | |||||||
\(660\) | 13.3298 | + | 9.04740i | 0.518862 | + | 0.352170i | ||||
\(661\) | −38.9627 | + | 22.4951i | −1.51547 | + | 0.874959i | −0.515638 | + | 0.856807i | \(0.672445\pi\) |
−0.999835 | + | 0.0181521i | \(0.994222\pi\) | |||||||
\(662\) | −0.0789537 | − | 0.202493i | −0.00306862 | − | 0.00787010i | ||||
\(663\) | −6.32990 | + | 21.0072i | −0.245833 | + | 0.815853i | ||||
\(664\) | −22.0022 | − | 32.7381i | −0.853850 | − | 1.27048i | ||||
\(665\) | 13.0759i | 0.507062i | ||||||||
\(666\) | 21.1095 | − | 23.2512i | 0.817978 | − | 0.900967i | ||||
\(667\) | 33.6532 | 1.30306 | ||||||||
\(668\) | 21.8379 | − | 20.0827i | 0.844934 | − | 0.777025i | ||||
\(669\) | −0.657856 | − | 2.79789i | −0.0254342 | − | 0.108173i | ||||
\(670\) | −6.34556 | − | 16.2745i | −0.245150 | − | 0.628737i | ||||
\(671\) | 12.2873 | + | 21.2822i | 0.474345 | + | 0.821590i | ||||
\(672\) | −24.9776 | − | 0.114367i | −0.963532 | − | 0.00441182i | ||||
\(673\) | 8.61513 | − | 14.9218i | 0.332089 | − | 0.575195i | −0.650832 | − | 0.759221i | \(-0.725580\pi\) |
0.982921 | + | 0.184027i | \(0.0589133\pi\) | |||||||
\(674\) | 26.2441 | + | 4.01533i | 1.01089 | + | 0.154665i | ||||
\(675\) | 0.874976 | + | 5.12195i | 0.0336778 | + | 0.197144i | ||||
\(676\) | −1.88565 | − | 0.590835i | −0.0725248 | − | 0.0227244i | ||||
\(677\) | −14.7680 | + | 25.5790i | −0.567581 | + | 0.983079i | 0.429223 | + | 0.903198i | \(0.358787\pi\) |
−0.996804 | + | 0.0798808i | \(0.974546\pi\) | |||||||
\(678\) | 12.5244 | − | 8.61831i | 0.480998 | − | 0.330984i | ||||
\(679\) | −5.81084 | + | 3.35489i | −0.223000 | + | 0.128749i | ||||
\(680\) | −9.55735 | + | 0.652184i | −0.366507 | + | 0.0250101i | ||||
\(681\) | 3.89738 | + | 16.5757i | 0.149348 | + | 0.635182i | ||||
\(682\) | −23.1794 | + | 28.9339i | −0.887585 | + | 1.10794i | ||||
\(683\) | − | 31.4320i | − | 1.20271i | −0.798982 | − | 0.601355i | \(-0.794628\pi\) | ||
0.798982 | − | 0.601355i | \(-0.205372\pi\) | |||||||
\(684\) | −30.3910 | + | 4.84896i | −1.16203 | + | 0.185405i | ||||
\(685\) | − | 9.78829i | − | 0.373991i | ||||||
\(686\) | 21.1058 | + | 16.9082i | 0.805823 | + | 0.645557i | ||||
\(687\) | −17.9989 | − | 5.42344i | −0.686702 | − | 0.206917i | ||||
\(688\) | −3.51932 | + | 41.9545i | −0.134173 | + | 1.59950i | ||||
\(689\) | 6.65376 | − | 3.84155i | 0.253488 | − | 0.146351i | ||||
\(690\) | 8.77431 | − | 18.4227i | 0.334032 | − | 0.701341i | ||||
\(691\) | 0.540149 | − | 0.935565i | 0.0205482 | − | 0.0355906i | −0.855568 | − | 0.517690i | \(-0.826792\pi\) |
0.876117 | + | 0.482099i | \(0.160126\pi\) | |||||||
\(692\) | 12.2929 | + | 3.85179i | 0.467308 | + | 0.146423i | ||||
\(693\) | −31.8408 | + | 15.8494i | −1.20953 | + | 0.602069i | ||||
\(694\) | 5.24216 | − | 34.2627i | 0.198990 | − | 1.30059i | ||||
\(695\) | −3.13540 | + | 5.43067i | −0.118932 | + | 0.205997i | ||||
\(696\) | 19.2938 | + | 4.40643i | 0.731331 | + | 0.167025i | ||||
\(697\) | 10.2299 | + | 17.7187i | 0.387485 | + | 0.671144i | ||||
\(698\) | 31.3169 | − | 12.2107i | 1.18536 | − | 0.462183i | ||||
\(699\) | −33.1935 | + | 31.2050i | −1.25549 | + | 1.18028i | ||||
\(700\) | −3.45127 | − | 3.75290i | −0.130446 | − | 0.141846i | ||||
\(701\) | 31.7591 | 1.19952 | 0.599762 | − | 0.800179i | \(-0.295262\pi\) | ||||
0.599762 | + | 0.800179i | \(0.295262\pi\) | |||||||
\(702\) | −14.1533 | − | 23.5592i | −0.534181 | − | 0.889187i | ||||
\(703\) | 37.9669i | 1.43195i | ||||||||
\(704\) | −5.05413 | − | 36.8601i | −0.190485 | − | 1.38922i | ||||
\(705\) | −1.47349 | − | 1.56738i | −0.0554947 | − | 0.0590310i | ||||
\(706\) | −1.02970 | + | 0.401490i | −0.0387534 | + | 0.0151103i | ||||
\(707\) | 34.7536 | − | 20.0650i | 1.30704 | − | 0.754622i | ||||
\(708\) | 0.102049 | − | 1.40098i | 0.00383522 | − | 0.0526522i | ||||
\(709\) | −5.26182 | − | 3.03791i | −0.197612 | − | 0.114091i | 0.397929 | − | 0.917416i | \(-0.369729\pi\) |
−0.595541 | + | 0.803325i | \(0.703062\pi\) | |||||||
\(710\) | 7.59372 | + | 1.16183i | 0.284987 | + | 0.0436028i | ||||
\(711\) | −10.3399 | + | 15.5998i | −0.387775 | + | 0.585039i | ||||
\(712\) | −3.39183 | + | 6.92474i | −0.127114 | + | 0.259516i | ||||
\(713\) | 40.6671 | + | 23.4791i | 1.52299 | + | 0.879301i | ||||
\(714\) | 9.09414 | − | 19.0943i | 0.340340 | − | 0.714584i | ||||
\(715\) | −8.69679 | − | 15.0633i | −0.325241 | − | 0.563335i | ||||
\(716\) | 17.1114 | − | 3.82563i | 0.639482 | − | 0.142970i | ||||
\(717\) | −3.17791 | + | 10.5466i | −0.118681 | + | 0.393871i | ||||
\(718\) | −9.70219 | + | 12.1109i | −0.362082 | + | 0.451973i | ||||
\(719\) | 3.28970 | 0.122685 | 0.0613425 | − | 0.998117i | \(-0.480462\pi\) | ||||
0.0613425 | + | 0.998117i | \(0.480462\pi\) | |||||||
\(720\) | 7.44264 | − | 9.41313i | 0.277371 | − | 0.350807i | ||||
\(721\) | 24.1138 | 0.898044 | ||||||||
\(722\) | 6.46264 | − | 8.06706i | 0.240515 | − | 0.300225i | ||||
\(723\) | −19.2732 | + | 4.53164i | −0.716779 | + | 0.168533i | ||||
\(724\) | 29.9745 | − | 6.70146i | 1.11399 | − | 0.249058i | ||||
\(725\) | 2.01987 | + | 3.49852i | 0.0750162 | + | 0.129932i | ||||
\(726\) | −14.7579 | − | 21.4467i | −0.547718 | − | 0.795962i | ||||
\(727\) | −0.500514 | − | 0.288972i | −0.0185630 | − | 0.0107174i | 0.490690 | − | 0.871334i | \(-0.336745\pi\) |
−0.509253 | + | 0.860617i | \(0.670078\pi\) | |||||||
\(728\) | 24.2185 | + | 11.8625i | 0.897596 | + | 0.439655i | ||||
\(729\) | 4.97208 | − | 26.5382i | 0.184151 | − | 0.982898i | ||||
\(730\) | 18.7310 | + | 2.86583i | 0.693266 | + | 0.106069i | ||||
\(731\) | −30.8726 | − | 17.8243i | −1.14186 | − | 0.659255i | ||||
\(732\) | 16.4755 | − | 7.97658i | 0.608951 | − | 0.294823i | ||||
\(733\) | 42.8431 | − | 24.7354i | 1.58244 | − | 0.913625i | 0.587943 | − | 0.808903i | \(-0.299938\pi\) |
0.994502 | − | 0.104722i | \(-0.0333953\pi\) | |||||||
\(734\) | 11.5941 | − | 4.52064i | 0.427946 | − | 0.166860i | ||||
\(735\) | −0.844900 | + | 0.198658i | −0.0311646 | + | 0.00732761i | ||||
\(736\) | −45.1825 | + | 13.3890i | −1.66545 | + | 0.493526i | ||||
\(737\) | 57.4426i | 2.11593i | ||||||||
\(738\) | −25.0471 | − | 5.43183i | −0.921996 | − | 0.199948i | ||||
\(739\) | 5.51433 | 0.202848 | 0.101424 | − | 0.994843i | \(-0.467660\pi\) | ||||
0.101424 | + | 0.994843i | \(0.467660\pi\) | |||||||
\(740\) | −10.0210 | − | 10.8968i | −0.368381 | − | 0.400576i | ||||
\(741\) | 31.8141 | + | 9.58623i | 1.16872 | + | 0.352159i | ||||
\(742\) | −6.90019 | + | 2.69045i | −0.253314 | + | 0.0987694i | ||||
\(743\) | −7.32352 | − | 12.6847i | −0.268674 | − | 0.465357i | 0.699846 | − | 0.714294i | \(-0.253252\pi\) |
−0.968520 | + | 0.248937i | \(0.919919\pi\) | |||||||
\(744\) | 20.2407 | + | 18.7857i | 0.742061 | + | 0.688718i | ||||
\(745\) | 2.41284 | − | 4.17916i | 0.0883995 | − | 0.153112i | ||||
\(746\) | −3.73704 | + | 24.4252i | −0.136823 | + | 0.894271i | ||||
\(747\) | −23.1142 | + | 34.8725i | −0.845705 | + | 1.27592i | ||||
\(748\) | 30.0611 | + | 9.41915i | 1.09914 | + | 0.344398i | ||||
\(749\) | 11.6580 | − | 20.1923i | 0.425975 | − | 0.737810i | ||||
\(750\) | 2.44183 | − | 0.193576i | 0.0891630 | − | 0.00706840i | ||||
\(751\) | 37.8937 | − | 21.8780i | 1.38276 | − | 0.798338i | 0.390276 | − | 0.920698i | \(-0.372380\pi\) |
0.992486 | + | 0.122360i | \(0.0390462\pi\) | |||||||
\(752\) | −0.415285 | + | 4.95070i | −0.0151439 | + | 0.180533i | ||||
\(753\) | 21.8540 | − | 20.5448i | 0.796404 | − | 0.748695i | ||||
\(754\) | −16.6759 | − | 13.3593i | −0.607300 | − | 0.486517i | ||||
\(755\) | 12.3109i | 0.448039i | ||||||||
\(756\) | 10.0515 | + | 24.5122i | 0.365570 | + | 0.891500i | ||||
\(757\) | 16.8688i | 0.613108i | 0.951853 | + | 0.306554i | \(0.0991759\pi\) | ||||
−0.951853 | + | 0.306554i | \(0.900824\pi\) | |||||||
\(758\) | −22.7871 | + | 28.4442i | −0.827663 | + | 1.03314i | ||||
\(759\) | −48.8910 | + | 45.9621i | −1.77463 | + | 1.66832i | ||||
\(760\) | 0.987692 | + | 14.4740i | 0.0358274 | + | 0.525027i | ||||
\(761\) | 0.899605 | − | 0.519387i | 0.0326107 | − | 0.0188278i | −0.483606 | − | 0.875286i | \(-0.660673\pi\) |
0.516217 | + | 0.856458i | \(0.327340\pi\) | |||||||
\(762\) | 2.48313 | + | 31.3230i | 0.0899545 | + | 1.13471i | ||||
\(763\) | −2.85594 | + | 4.94663i | −0.103392 | + | 0.179080i | ||||
\(764\) | −5.71046 | − | 1.78928i | −0.206597 | − | 0.0647337i | ||||
\(765\) | 4.52776 | + | 9.09608i | 0.163702 | + | 0.328869i | ||||
\(766\) | −50.3836 | − | 7.70865i | −1.82043 | − | 0.278525i | ||||
\(767\) | −0.758298 | + | 1.31341i | −0.0273806 | + | 0.0474245i | ||||
\(768\) | −27.6569 | + | 1.76009i | −0.997981 | + | 0.0635119i | ||||
\(769\) | 13.8495 | + | 23.9881i | 0.499427 | + | 0.865032i | 1.00000 | 0.000662003i | \(-0.000210722\pi\) | |
−0.500573 | + | 0.865694i | \(0.666877\pi\) | |||||||
\(770\) | 6.09084 | + | 15.6212i | 0.219498 | + | 0.562948i | ||||
\(771\) | 11.0585 | + | 3.33215i | 0.398262 | + | 0.120004i | ||||
\(772\) | 3.75720 | − | 3.45523i | 0.135225 | − | 0.124356i | ||||
\(773\) | 8.84895 | 0.318275 | 0.159137 | − | 0.987256i | \(-0.449129\pi\) | ||||
0.159137 | + | 0.987256i | \(0.449129\pi\) | |||||||
\(774\) | 42.5266 | − | 13.6244i | 1.52859 | − | 0.489717i | ||||
\(775\) | 5.63690i | 0.202483i | ||||||||
\(776\) | −6.17873 | + | 4.15252i | −0.221803 | + | 0.149067i | ||||
\(777\) | 31.8162 | − | 7.48082i | 1.14140 | − | 0.268373i | ||||
\(778\) | −9.57365 | − | 24.5535i | −0.343232 | − | 0.880287i | ||||
\(779\) | 26.8339 | − | 15.4925i | 0.961423 | − | 0.555078i | ||||
\(780\) | −11.6611 | + | 5.64573i | −0.417536 | + | 0.202149i | ||||
\(781\) | −21.8779 | − | 12.6312i | −0.782852 | − | 0.451980i | ||||
\(782\) | 6.03466 | − | 39.4424i | 0.215799 | − | 1.41046i | ||||
\(783\) | −3.53468 | − | 20.6914i | −0.126319 | − | 0.739450i | ||||
\(784\) | 1.64603 | + | 1.14381i | 0.0587868 | + | 0.0408503i | ||||
\(785\) | −6.14993 | − | 3.55066i | −0.219500 | − | 0.126729i | ||||
\(786\) | −19.4097 | + | 13.3562i | −0.692322 | + | 0.476401i | ||||
\(787\) | 10.0300 | + | 17.3725i | 0.357531 | + | 0.619263i | 0.987548 | − | 0.157319i | \(-0.0502852\pi\) |
−0.630016 | + | 0.776582i | \(0.716952\pi\) | |||||||
\(788\) | −4.58919 | − | 20.5266i | −0.163483 | − | 0.731231i | ||||
\(789\) | −43.3100 | + | 10.1833i | −1.54188 | + | 0.362535i | ||||
\(790\) | 6.88549 | + | 5.51607i | 0.244975 | + | 0.196253i | ||||
\(791\) | 15.8226 | 0.562588 | ||||||||
\(792\) | −34.0480 | + | 19.9491i | −1.20984 | + | 0.708861i | ||||
\(793\) | −19.7630 | −0.701805 | ||||||||
\(794\) | −30.8107 | − | 24.6829i | −1.09343 | − | 0.875963i | ||||
\(795\) | 1.02654 | − | 3.40681i | 0.0364076 | − | 0.120827i | ||||
\(796\) | 24.2341 | − | 5.41809i | 0.858956 | − | 0.192039i | ||||
\(797\) | −8.24761 | − | 14.2853i | −0.292145 | − | 0.506011i | 0.682171 | − | 0.731192i | \(-0.261036\pi\) |
−0.974317 | + | 0.225182i | \(0.927702\pi\) | |||||||
\(798\) | −28.9170 | − | 13.7725i | −1.02365 | − | 0.487541i | ||||
\(799\) | −3.64301 | − | 2.10329i | −0.128881 | − | 0.0744092i | ||||
\(800\) | −4.10376 | − | 3.89347i | −0.145090 | − | 0.137655i | ||||
\(801\) | 8.16296 | + | 0.504591i | 0.288424 | + | 0.0178288i | ||||
\(802\) | −3.05179 | + | 19.9465i | −0.107763 | + | 0.704335i | ||||
\(803\) | −53.9650 | − | 31.1567i | −1.90438 | − | 1.09950i | ||||
\(804\) | 42.6742 | + | 3.10841i | 1.50500 | + | 0.109625i | ||||
\(805\) | 18.3917 | − | 10.6185i | 0.648223 | − | 0.374252i | ||||
\(806\) | −10.8309 | − | 27.7780i | −0.381502 | − | 0.978439i | ||||
\(807\) | 20.1961 | + | 21.4831i | 0.710937 | + | 0.756240i | ||||
\(808\) | 36.9539 | − | 24.8355i | 1.30003 | − | 0.873709i | ||||
\(809\) | 15.2109i | 0.534787i | 0.963587 | + | 0.267394i | \(0.0861624\pi\) | ||||
−0.963587 | + | 0.267394i | \(0.913838\pi\) | |||||||
\(810\) | −12.2487 | − | 3.45983i | −0.430374 | − | 0.121566i | ||||
\(811\) | −9.18448 | −0.322511 | −0.161255 | − | 0.986913i | \(-0.551554\pi\) | ||||
−0.161255 | + | 0.986913i | \(0.551554\pi\) | |||||||
\(812\) | 13.9423 | + | 15.1608i | 0.489278 | + | 0.532039i | ||||
\(813\) | −39.3453 | + | 36.9882i | −1.37990 | + | 1.29723i | ||||
\(814\) | 17.6852 | + | 45.3573i | 0.619867 | + | 1.58977i | ||||
\(815\) | −2.44333 | − | 4.23198i | −0.0855862 | − | 0.148240i | ||||
\(816\) | 8.62420 | − | 21.8227i | 0.301907 | − | 0.763949i | ||||
\(817\) | −26.9937 | + | 46.7545i | −0.944391 | + | 1.63573i | ||||
\(818\) | 6.16439 | + | 0.943146i | 0.215533 | + | 0.0329763i | ||||
\(819\) | 1.76475 | − | 28.5490i | 0.0616652 | − | 0.997583i | ||||
\(820\) | −3.61244 | + | 11.5291i | −0.126152 | + | 0.402613i | ||||
\(821\) | 1.37455 | − | 2.38079i | 0.0479720 | − | 0.0830900i | −0.841042 | − | 0.540969i | \(-0.818057\pi\) |
0.889014 | + | 0.457879i | \(0.151391\pi\) | |||||||
\(822\) | 21.6465 | + | 10.3097i | 0.755010 | + | 0.359593i | ||||
\(823\) | −1.97316 | + | 1.13920i | −0.0687799 | + | 0.0397101i | −0.533996 | − | 0.845487i | \(-0.679310\pi\) |
0.465216 | + | 0.885197i | \(0.345977\pi\) | |||||||
\(824\) | 26.6920 | − | 1.82144i | 0.929861 | − | 0.0634529i | ||||
\(825\) | −7.71259 | − | 2.32396i | −0.268518 | − | 0.0809098i | ||||
\(826\) | 0.914036 | − | 1.14095i | 0.0318034 | − | 0.0396989i | ||||
\(827\) | 8.53141i | 0.296666i | 0.988937 | + | 0.148333i | \(0.0473908\pi\) | ||||
−0.988937 | + | 0.148333i | \(0.952609\pi\) | |||||||
\(828\) | 31.4996 | + | 38.8083i | 1.09469 | + | 1.34868i | ||||
\(829\) | − | 28.8554i | − | 1.00219i | −0.865393 | − | 0.501094i | \(-0.832931\pi\) | ||
0.865393 | − | 0.501094i | \(-0.167069\pi\) | |||||||
\(830\) | 15.3922 | + | 12.3309i | 0.534269 | + | 0.428011i | ||||
\(831\) | −4.19578 | − | 17.8448i | −0.145550 | − | 0.619030i | ||||
\(832\) | 27.7039 | + | 11.3015i | 0.960462 | + | 0.391810i | ||||
\(833\) | −1.46981 | + | 0.848595i | −0.0509259 | + | 0.0294021i | ||||
\(834\) | −8.70736 | − | 12.6538i | −0.301511 | − | 0.438166i | ||||
\(835\) | −7.41709 | + | 12.8468i | −0.256679 | + | 0.444581i | ||||
\(836\) | 14.2647 | − | 45.5257i | 0.493355 | − | 1.57454i | ||||
\(837\) | 10.1646 | − | 27.4699i | 0.351340 | − | 0.949498i | ||||
\(838\) | 4.41224 | − | 28.8383i | 0.152418 | − | 0.996203i | ||||
\(839\) | 16.6368 | − | 28.8158i | 0.574367 | − | 0.994833i | −0.421743 | − | 0.906716i | \(-0.638581\pi\) |
0.996110 | − | 0.0881178i | \(-0.0280852\pi\) | |||||||
\(840\) | 11.9346 | − | 3.67957i | 0.411782 | − | 0.126957i | ||||
\(841\) | 6.34023 | + | 10.9816i | 0.218628 | + | 0.378676i | ||||
\(842\) | 5.43678 | − | 2.11985i | 0.187364 | − | 0.0730548i | ||||
\(843\) | 4.27553 | + | 18.1840i | 0.147257 | + | 0.626291i | ||||
\(844\) | −22.9621 | + | 21.1166i | −0.790387 | + | 0.726862i | ||||
\(845\) | 0.988022 | 0.0339890 | ||||||||
\(846\) | 5.01821 | − | 1.60770i | 0.172530 | − | 0.0552737i | ||||
\(847\) | − | 27.0945i | − | 0.930979i | ||||||
\(848\) | −7.43474 | + | 3.49932i | −0.255310 | + | 0.120167i | ||||
\(849\) | 6.51204 | − | 21.6117i | 0.223493 | − | 0.741712i | ||||
\(850\) | 4.46256 | − | 1.73999i | 0.153065 | − | 0.0596813i | ||||
\(851\) | 53.4018 | − | 30.8316i | 1.83059 | − | 1.05689i | ||||
\(852\) | −10.5676 | + | 15.5696i | −0.362041 | + | 0.533405i | ||||
\(853\) | 42.4777 | + | 24.5245i | 1.45441 | + | 0.839704i | 0.998727 | − | 0.0504383i | \(-0.0160618\pi\) |
0.455683 | + | 0.890142i | \(0.349395\pi\) | |||||||
\(854\) | 18.8315 | + | 2.88120i | 0.644401 | + | 0.0985928i | ||||
\(855\) | 13.7754 | − | 6.85701i | 0.471110 | − | 0.234505i | ||||
\(856\) | 11.3793 | − | 23.2319i | 0.388936 | − | 0.794049i | ||||
\(857\) | 11.4294 | + | 6.59876i | 0.390420 | + | 0.225409i | 0.682342 | − | 0.731033i | \(-0.260961\pi\) |
−0.291922 | + | 0.956442i | \(0.594295\pi\) | |||||||
\(858\) | 42.4721 | − | 3.36698i | 1.44997 | − | 0.114947i | ||||
\(859\) | −6.61059 | − | 11.4499i | −0.225550 | − | 0.390665i | 0.730934 | − | 0.682448i | \(-0.239085\pi\) |
−0.956484 | + | 0.291783i | \(0.905751\pi\) | |||||||
\(860\) | −4.59301 | − | 20.5437i | −0.156620 | − | 0.700535i | ||||
\(861\) | −18.2700 | − | 19.4342i | −0.622638 | − | 0.662315i | ||||
\(862\) | 23.0727 | − | 28.8008i | 0.785861 | − | 0.980958i | ||||
\(863\) | 8.26851 | 0.281463 | 0.140732 | − | 0.990048i | \(-0.455055\pi\) | ||||
0.140732 | + | 0.990048i | \(0.455055\pi\) | |||||||
\(864\) | 12.9778 | + | 26.3738i | 0.441513 | + | 0.897255i | ||||
\(865\) | −6.44113 | −0.219005 | ||||||||
\(866\) | 0.396233 | − | 0.494602i | 0.0134645 | − | 0.0168073i | ||||
\(867\) | −6.55937 | − | 6.97735i | −0.222768 | − | 0.236963i | ||||
\(868\) | 6.27071 | + | 28.0478i | 0.212842 | + | 0.952003i | ||||
\(869\) | −14.5064 | − | 25.1258i | −0.492095 | − | 0.852334i | ||||
\(870\) | −9.86437 | + | 0.781998i | −0.334433 | + | 0.0265122i | ||||
\(871\) | −40.0066 | − | 23.0978i | −1.35557 | − | 0.782641i | ||||
\(872\) | −2.78765 | + | 5.69125i | −0.0944019 | + | 0.192730i | ||||
\(873\) | 6.58157 | + | 4.36240i | 0.222752 | + | 0.147645i | ||||
\(874\) | −59.7331 | − | 9.13911i | −2.02050 | − | 0.309135i | ||||
\(875\) | 2.20775 | + | 1.27465i | 0.0746357 | + | 0.0430909i | ||||
\(876\) | −26.0666 | + | 38.4047i | −0.880708 | + | 1.29757i | ||||
\(877\) | 4.51357 | − | 2.60591i | 0.152412 | − | 0.0879953i | −0.421854 | − | 0.906664i | \(-0.638621\pi\) |
0.574267 | + | 0.818668i | \(0.305287\pi\) | |||||||
\(878\) | 44.1910 | − | 17.2305i | 1.49137 | − | 0.581500i | ||||
\(879\) | 8.77301 | − | 29.1153i | 0.295906 | − | 0.982033i | ||||
\(880\) | 7.92202 | + | 16.8313i | 0.267051 | + | 0.567384i | ||||
\(881\) | 17.9255i | 0.603925i | 0.953320 | + | 0.301963i | \(0.0976418\pi\) | ||||
−0.953320 | + | 0.301963i | \(0.902358\pi\) | |||||||
\(882\) | 0.450583 | − | 2.07772i | 0.0151719 | − | 0.0699603i | ||||
\(883\) | 20.5203 | 0.690564 | 0.345282 | − | 0.938499i | \(-0.387783\pi\) | ||||
0.345282 | + | 0.938499i | \(0.387783\pi\) | |||||||
\(884\) | −18.6478 | + | 17.1490i | −0.627192 | + | 0.576784i | ||||
\(885\) | 0.160756 | + | 0.683703i | 0.00540377 | + | 0.0229824i | ||||
\(886\) | −48.9897 | + | 19.1015i | −1.64584 | + | 0.641728i | ||||
\(887\) | 19.1974 | + | 33.2509i | 0.644587 | + | 1.11646i | 0.984397 | + | 0.175963i | \(0.0563039\pi\) |
−0.339810 | + | 0.940494i | \(0.610363\pi\) | |||||||
\(888\) | 34.6530 | − | 10.6839i | 1.16288 | − | 0.358529i | ||||
\(889\) | −16.3508 | + | 28.3204i | −0.548388 | + | 0.949835i | ||||
\(890\) | 0.583088 | − | 3.81105i | 0.0195452 | − | 0.127747i | ||||
\(891\) | 33.3946 | + | 25.2327i | 1.11876 | + | 0.845328i | ||||
\(892\) | 0.992325 | − | 3.16700i | 0.0332255 | − | 0.106039i | ||||
\(893\) | −3.18531 | + | 5.51711i | −0.106592 | + | 0.184623i | ||||
\(894\) | 6.70072 | + | 9.73772i | 0.224106 | + | 0.325678i | ||||
\(895\) | −7.59236 | + | 4.38345i | −0.253784 | + | 0.146523i | ||||
\(896\) | −24.7505 | − | 14.8077i | −0.826857 | − | 0.494692i | ||||
\(897\) | −12.3517 | − | 52.5323i | −0.412411 | − | 1.75400i | ||||
\(898\) | −29.4801 | − | 23.6170i | −0.983765 | − | 0.788109i | ||||
\(899\) | − | 22.7716i | − | 0.759476i | ||||||
\(900\) | −2.14382 | + | 5.60393i | −0.0714608 | + | 0.186798i | ||||
\(901\) | − | 6.95760i | − | 0.231791i | ||||||
\(902\) | 24.8406 | − | 31.0076i | 0.827103 | − | 1.03244i | ||||
\(903\) | 44.4990 | + | 13.4084i | 1.48083 | + | 0.446205i | ||||
\(904\) | 17.5144 | − | 1.19517i | 0.582520 | − | 0.0397506i | ||||
\(905\) | −13.2997 | + | 7.67861i | −0.442099 | + | 0.255246i | ||||
\(906\) | −27.2252 | − | 12.9667i | −0.904497 | − | 0.430791i | ||||
\(907\) | −1.90633 | + | 3.30185i | −0.0632985 | + | 0.109636i | −0.895938 | − | 0.444179i | \(-0.853495\pi\) |
0.832639 | + | 0.553815i | \(0.186829\pi\) | |||||||
\(908\) | −5.87890 | + | 18.7625i | −0.195098 | + | 0.622654i | ||||
\(909\) | −39.3632 | − | 26.0907i | −1.30559 | − | 0.865375i | ||||
\(910\) | −13.3287 | − | 2.03928i | −0.441843 | − | 0.0676015i | ||||
\(911\) | 4.06826 | − | 7.04644i | 0.134788 | − | 0.233459i | −0.790729 | − | 0.612167i | \(-0.790298\pi\) |
0.925516 | + | 0.378708i | \(0.123631\pi\) | |||||||
\(912\) | −33.0492 | − | 13.0608i | −1.09437 | − | 0.432487i | ||||
\(913\) | −32.4282 | − | 56.1673i | −1.07322 | − | 1.85887i | ||||
\(914\) | −21.0079 | − | 53.8791i | −0.694881 | − | 1.78216i | ||||
\(915\) | −6.66839 | + | 6.26891i | −0.220450 | + | 0.207244i | ||||
\(916\) | −14.6932 | − | 15.9774i | −0.485478 | − | 0.527907i | ||||
\(917\) | −24.5211 | −0.809758 | ||||||||
\(918\) | −24.8847 | + | 0.432377i | −0.821318 | + | 0.0142706i | ||||
\(919\) | − | 25.3748i | − | 0.837038i | −0.908208 | − | 0.418519i | \(-0.862549\pi\) | ||
0.908208 | − | 0.418519i | \(-0.137451\pi\) | |||||||
\(920\) | 19.5561 | − | 13.1430i | 0.644746 | − | 0.433313i | ||||
\(921\) | 17.6562 | + | 18.7813i | 0.581792 | + | 0.618865i | ||||
\(922\) | −5.67998 | − | 14.5675i | −0.187060 | − | 0.479754i | ||||
\(923\) | 17.5943 | − | 10.1581i | 0.579125 | − | 0.334358i | ||||
\(924\) | −40.9611 | − | 2.98363i | −1.34752 | − | 0.0981544i | ||||
\(925\) | 6.41038 | + | 3.70104i | 0.210772 | + | 0.121689i | ||||
\(926\) | −4.80858 | + | 31.4288i | −0.158020 | + | 1.03281i | ||||
\(927\) | −12.6453 | − | 25.4038i | −0.415325 | − | 0.834370i | ||||
\(928\) | 16.5782 | + | 15.7286i | 0.544205 | + | 0.516318i | ||||
\(929\) | 35.7951 | + | 20.6663i | 1.17440 | + | 0.678040i | 0.954713 | − | 0.297530i | \(-0.0961628\pi\) |
0.219688 | + | 0.975570i | \(0.429496\pi\) | |||||||
\(930\) | −12.4658 | − | 5.93719i | −0.408771 | − | 0.194688i | ||||
\(931\) | 1.28514 | + | 2.22593i | 0.0421189 | + | 0.0729520i | ||||
\(932\) | −51.3388 | + | 11.4779i | −1.68166 | + | 0.375973i | ||||
\(933\) | 3.87118 | − | 12.8474i | 0.126737 | − | 0.420605i | ||||
\(934\) | 22.6299 | + | 18.1291i | 0.740473 | + | 0.593204i | ||||
\(935\) | −15.7511 | −0.515117 | ||||||||
\(936\) | −0.203021 | − | 31.7348i | −0.00663595 | − | 1.03728i | ||||
\(937\) | −48.8089 | −1.59452 | −0.797258 | − | 0.603639i | \(-0.793717\pi\) | ||||
−0.797258 | + | 0.603639i | \(0.793717\pi\) | |||||||
\(938\) | 34.7536 | + | 27.8416i | 1.13475 | + | 0.909062i | ||||
\(939\) | −33.5729 | + | 7.89385i | −1.09561 | + | 0.257606i | ||||
\(940\) | −0.541983 | − | 2.42419i | −0.0176775 | − | 0.0790685i | ||||
\(941\) | 7.53979 | + | 13.0593i | 0.245790 | + | 0.425721i | 0.962353 | − | 0.271801i | \(-0.0876193\pi\) |
−0.716563 | + | 0.697522i | \(0.754286\pi\) | |||||||
\(942\) | 14.3297 | − | 9.86059i | 0.466888 | − | 0.321275i | ||||
\(943\) | −43.5816 | − | 25.1619i | −1.41921 | − | 0.819383i | ||||
\(944\) | 0.925583 | − | 1.33199i | 0.0301252 | − | 0.0433525i | ||||
\(945\) | −8.46041 | − | 10.1927i | −0.275217 | − | 0.331569i | ||||
\(946\) | −10.4696 | + | 68.4293i | −0.340397 | + | 2.22483i | ||||
\(947\) | −20.3781 | − | 11.7653i | −0.662198 | − | 0.382320i | 0.130916 | − | 0.991394i | \(-0.458208\pi\) |
−0.793114 | + | 0.609073i | \(0.791542\pi\) | |||||||
\(948\) | −19.4510 | + | 9.41716i | −0.631738 | + | 0.305855i | ||||
\(949\) | 43.3990 | − | 25.0564i | 1.40879 | − | 0.813366i | ||||
\(950\) | −2.63511 | − | 6.75827i | −0.0854942 | − | 0.219267i | ||||
\(951\) | −59.6486 | + | 14.0249i | −1.93424 | + | 0.454790i | ||||
\(952\) | 20.2689 | − | 13.6221i | 0.656920 | − | 0.441495i | ||||
\(953\) | − | 45.3356i | − | 1.46856i | −0.678845 | − | 0.734282i | \(-0.737519\pi\) | ||
0.678845 | − | 0.734282i | \(-0.262481\pi\) | |||||||
\(954\) | 6.45284 | + | 5.85846i | 0.208918 | + | 0.189675i | ||||
\(955\) | 2.99211 | 0.0968224 | ||||||||
\(956\) | −9.36207 | + | 8.60962i | −0.302791 | + | 0.278455i | ||||
\(957\) | 31.1569 | + | 9.38820i | 1.00716 | + | 0.303477i | ||||
\(958\) | 0.894671 | + | 2.29456i | 0.0289055 | + | 0.0741340i | ||||
\(959\) | 12.4766 | + | 21.6101i | 0.402891 | + | 0.697827i | ||||
\(960\) | 12.9327 | − | 4.97448i | 0.417401 | − | 0.160551i | ||||
\(961\) | 0.387293 | − | 0.670812i | 0.0124933 | − | 0.0216391i | ||||
\(962\) | −38.7010 | − | 5.92121i | −1.24777 | − | 0.190908i | ||||
\(963\) | −27.3860 | − | 1.69286i | −0.882501 | − | 0.0545515i | ||||
\(964\) | −21.8159 | − | 6.83563i | −0.702641 | − | 0.220161i | ||||
\(965\) | −1.27611 | + | 2.21028i | −0.0410793 | + | 0.0711515i | ||||
\(966\) | 4.11096 | + | 51.8570i | 0.132268 | + | 1.66847i | ||||
\(967\) | 50.3479 | − | 29.0684i | 1.61908 | − | 0.934776i | 0.631921 | − | 0.775032i | \(-0.282267\pi\) |
0.987159 | − | 0.159744i | \(-0.0510668\pi\) | |||||||
\(968\) | −2.04659 | − | 29.9915i | −0.0657799 | − | 0.963963i | ||||
\(969\) | 21.9230 | − | 20.6096i | 0.704267 | − | 0.662077i | ||||
\(970\) | 2.32724 | − | 2.90499i | 0.0747230 | − | 0.0932738i | ||||
\(971\) | − | 15.8715i | − | 0.509340i | −0.967028 | − | 0.254670i | \(-0.918033\pi\) | ||
0.967028 | − | 0.254670i | \(-0.0819669\pi\) | |||||||
\(972\) | 20.5525 | − | 23.4434i | 0.659222 | − | 0.751949i | ||||
\(973\) | − | 15.9861i | − | 0.512491i | ||||||
\(974\) | 0.488755 | + | 0.391549i | 0.0156607 | + | 0.0125460i | ||||
\(975\) | 4.71980 | − | 4.43706i | 0.151155 | − | 0.142100i | ||||
\(976\) | 21.0626 | + | 1.76682i | 0.674198 | + | 0.0565546i | ||||
\(977\) | −5.73553 | + | 3.31141i | −0.183496 | + | 0.105941i | −0.588934 | − | 0.808181i | \(-0.700452\pi\) |
0.405438 | + | 0.914122i | \(0.367119\pi\) | |||||||
\(978\) | 11.9324 | − | 0.945941i | 0.381556 | − | 0.0302479i | ||||
\(979\) | −6.33921 | + | 10.9798i | −0.202602 | + | 0.350917i | ||||
\(980\) | −0.956364 | − | 0.299660i | −0.0305499 | − | 0.00957230i | ||||
\(981\) | 6.70892 | + | 0.414709i | 0.214199 | + | 0.0132407i | ||||
\(982\) | −6.26716 | + | 40.9620i | −0.199993 | + | 1.30715i | ||||
\(983\) | −7.73291 | + | 13.3938i | −0.246642 | + | 0.427196i | −0.962592 | − | 0.270956i | \(-0.912660\pi\) |
0.715950 | + | 0.698151i | \(0.245994\pi\) | |||||||
\(984\) | −21.6914 | − | 20.1321i | −0.691495 | − | 0.641787i | ||||
\(985\) | 5.25835 | + | 9.10772i | 0.167545 | + | 0.290196i | ||||
\(986\) | −18.0276 | + | 7.02913i | −0.574116 | + | 0.223853i | ||||
\(987\) | 5.25095 | + | 1.58222i | 0.167140 | + | 0.0503625i | ||||
\(988\) | 25.9711 | + | 28.2409i | 0.826250 | + | 0.898462i | ||||
\(989\) | 87.6825 | 2.78814 | ||||||||
\(990\) | 13.2628 | − | 14.6084i | 0.421520 | − | 0.464286i | ||||
\(991\) | 7.14184i | 0.226868i | 0.993546 | + | 0.113434i | \(0.0361850\pi\) | ||||
−0.993546 | + | 0.113434i | \(0.963815\pi\) | |||||||
\(992\) | 9.05977 | + | 30.5730i | 0.287648 | + | 0.970693i | ||||
\(993\) | −0.259121 | + | 0.0609260i | −0.00822294 | + | 0.00193343i | ||||
\(994\) | −18.2460 | + | 7.11427i | −0.578727 | + | 0.225651i | ||||
\(995\) | −10.7528 | + | 6.20811i | −0.340885 | + | 0.196810i | ||||
\(996\) | −43.4816 | + | 21.0516i | −1.37777 | + | 0.667044i | ||||
\(997\) | 14.6617 | + | 8.46495i | 0.464341 | + | 0.268088i | 0.713868 | − | 0.700280i | \(-0.246942\pi\) |
−0.249527 | + | 0.968368i | \(0.580275\pi\) | |||||||
\(998\) | 39.3683 | + | 6.02331i | 1.24618 | + | 0.190665i | ||||
\(999\) | −24.5655 | − | 29.5954i | −0.777217 | − | 0.936356i |
(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 | 360.2.bm.b.11.16 | yes | 48 | |
3.2 | odd | 2 | 1080.2.bm.a.251.9 | 48 | |||
4.3 | odd | 2 | 1440.2.cc.b.911.18 | 48 | |||
8.3 | odd | 2 | 360.2.bm.a.11.9 | ✓ | 48 | ||
8.5 | even | 2 | 1440.2.cc.a.911.18 | 48 | |||
9.4 | even | 3 | 1080.2.bm.b.611.16 | 48 | |||
9.5 | odd | 6 | 360.2.bm.a.131.9 | yes | 48 | ||
12.11 | even | 2 | 4320.2.cc.a.1871.18 | 48 | |||
24.5 | odd | 2 | 4320.2.cc.b.1871.7 | 48 | |||
24.11 | even | 2 | 1080.2.bm.b.251.16 | 48 | |||
36.23 | even | 6 | 1440.2.cc.a.1391.18 | 48 | |||
36.31 | odd | 6 | 4320.2.cc.b.3311.7 | 48 | |||
72.5 | odd | 6 | 1440.2.cc.b.1391.18 | 48 | |||
72.13 | even | 6 | 4320.2.cc.a.3311.18 | 48 | |||
72.59 | even | 6 | inner | 360.2.bm.b.131.16 | yes | 48 | |
72.67 | odd | 6 | 1080.2.bm.a.611.9 | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
360.2.bm.a.11.9 | ✓ | 48 | 8.3 | odd | 2 | ||
360.2.bm.a.131.9 | yes | 48 | 9.5 | odd | 6 | ||
360.2.bm.b.11.16 | yes | 48 | 1.1 | even | 1 | trivial | |
360.2.bm.b.131.16 | yes | 48 | 72.59 | even | 6 | inner | |
1080.2.bm.a.251.9 | 48 | 3.2 | odd | 2 | |||
1080.2.bm.a.611.9 | 48 | 72.67 | odd | 6 | |||
1080.2.bm.b.251.16 | 48 | 24.11 | even | 2 | |||
1080.2.bm.b.611.16 | 48 | 9.4 | even | 3 | |||
1440.2.cc.a.911.18 | 48 | 8.5 | even | 2 | |||
1440.2.cc.a.1391.18 | 48 | 36.23 | even | 6 | |||
1440.2.cc.b.911.18 | 48 | 4.3 | odd | 2 | |||
1440.2.cc.b.1391.18 | 48 | 72.5 | odd | 6 | |||
4320.2.cc.a.1871.18 | 48 | 12.11 | even | 2 | |||
4320.2.cc.a.3311.18 | 48 | 72.13 | even | 6 | |||
4320.2.cc.b.1871.7 | 48 | 24.5 | odd | 2 | |||
4320.2.cc.b.3311.7 | 48 | 36.31 | odd | 6 |