Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [637,2,Mod(92,637)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(637, base_ring=CyclotomicField(14))
chi = DirichletCharacter(H, H._module([2, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("637.92");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 637 = 7^{2} \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 637.w (of order \(7\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(5.08647060876\) |
Analytic rank: | \(0\) |
Dimension: | \(174\) |
Relative dimension: | \(29\) over \(\Q(\zeta_{7})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{7}]$ |
Embedding invariants
Embedding label | 547.15 | ||
Character | \(\chi\) | \(=\) | 637.547 |
Dual form | 637.2.w.b.92.15 |
$q$-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 \(\left(\mathbb{Z}/637\mathbb{Z}\right)^\times\).
\(n\) | \(197\) | \(248\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{6}{7}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.153433 | + | 0.192399i | 0.108493 | + | 0.136047i | 0.833113 | − | 0.553102i | \(-0.186556\pi\) |
−0.724620 | + | 0.689149i | \(0.757985\pi\) | |||||||
\(3\) | −1.67003 | + | 0.804242i | −0.964190 | + | 0.464330i | −0.848639 | − | 0.528972i | \(-0.822578\pi\) |
−0.115551 | + | 0.993302i | \(0.536863\pi\) | |||||||
\(4\) | 0.431566 | − | 1.89082i | 0.215783 | − | 0.945408i | ||||
\(5\) | 0.217813 | − | 0.104893i | 0.0974088 | − | 0.0469096i | −0.384545 | − | 0.923106i | \(-0.625642\pi\) |
0.481954 | + | 0.876197i | \(0.339927\pi\) | |||||||
\(6\) | −0.410972 | − | 0.197914i | −0.167779 | − | 0.0807980i | ||||
\(7\) | −2.59813 | + | 0.499745i | −0.981999 | + | 0.188886i | ||||
\(8\) | 0.873441 | − | 0.420627i | 0.308808 | − | 0.148714i | ||||
\(9\) | 0.271713 | − | 0.340717i | 0.0905710 | − | 0.113572i | ||||
\(10\) | 0.0536009 | + | 0.0258129i | 0.0169501 | + | 0.00816274i | ||||
\(11\) | −0.00113574 | − | 0.00142418i | −0.000342439 | − | 0.000429405i | 0.781660 | − | 0.623704i | \(-0.214373\pi\) |
−0.782003 | + | 0.623275i | \(0.785802\pi\) | |||||||
\(12\) | 0.799947 | + | 3.50480i | 0.230925 | + | 1.01175i | ||||
\(13\) | 0.623490 | + | 0.781831i | 0.172925 | + | 0.216841i | ||||
\(14\) | −0.494788 | − | 0.423199i | −0.132238 | − | 0.113105i | ||||
\(15\) | −0.279393 | + | 0.350348i | −0.0721391 | + | 0.0904595i | ||||
\(16\) | −3.27981 | − | 1.57947i | −0.819952 | − | 0.394868i | ||||
\(17\) | 1.38330 | + | 6.06065i | 0.335500 | + | 1.46992i | 0.808309 | + | 0.588758i | \(0.200383\pi\) |
−0.472809 | + | 0.881165i | \(0.656760\pi\) | |||||||
\(18\) | 0.107243 | 0.0252775 | ||||||||
\(19\) | 7.36841 | 1.69043 | 0.845214 | − | 0.534428i | \(-0.179473\pi\) | ||||
0.845214 | + | 0.534428i | \(0.179473\pi\) | |||||||
\(20\) | −0.104333 | − | 0.457112i | −0.0233295 | − | 0.102213i | ||||
\(21\) | 3.93702 | − | 2.92411i | 0.859129 | − | 0.638093i | ||||
\(22\) | 9.97495e−5 | 0 | 0.000437031i | 2.12667e−5 | 0 | 9.31754e-5i | ||||
\(23\) | −1.18833 | + | 5.20643i | −0.247785 | + | 1.08562i | 0.685950 | + | 0.727649i | \(0.259387\pi\) |
−0.933734 | + | 0.357967i | \(0.883470\pi\) | |||||||
\(24\) | −1.12038 | + | 1.40492i | −0.228697 | + | 0.286777i | ||||
\(25\) | −3.08101 | + | 3.86346i | −0.616202 | + | 0.772693i | ||||
\(26\) | −0.0547596 | + | 0.239917i | −0.0107392 | + | 0.0470517i | ||||
\(27\) | 1.05764 | − | 4.63382i | 0.203543 | − | 0.891779i | ||||
\(28\) | −0.176338 | + | 5.12825i | −0.0333248 | + | 0.969148i | ||||
\(29\) | −0.125700 | − | 0.550728i | −0.0233419 | − | 0.102268i | 0.961915 | − | 0.273348i | \(-0.0881312\pi\) |
−0.985257 | + | 0.171081i | \(0.945274\pi\) | |||||||
\(30\) | −0.110275 | −0.0201333 | ||||||||
\(31\) | 9.65003 | 1.73320 | 0.866598 | − | 0.499007i | \(-0.166302\pi\) | ||||
0.866598 | + | 0.499007i | \(0.166302\pi\) | |||||||
\(32\) | −0.630786 | − | 2.76366i | −0.111508 | − | 0.488550i | ||||
\(33\) | 0.00304210 | + | 0.00146500i | 0.000529562 | + | 0.000255024i | ||||
\(34\) | −0.953818 | + | 1.19605i | −0.163578 | + | 0.205121i | ||||
\(35\) | −0.513485 | + | 0.381376i | −0.0867948 | + | 0.0644643i | ||||
\(36\) | −0.526971 | − | 0.660801i | −0.0878286 | − | 0.110134i | ||||
\(37\) | 1.63503 | + | 7.16355i | 0.268798 | + | 1.17768i | 0.911413 | + | 0.411492i | \(0.134992\pi\) |
−0.642615 | + | 0.766189i | \(0.722151\pi\) | |||||||
\(38\) | 1.13056 | + | 1.41767i | 0.183400 | + | 0.229977i | ||||
\(39\) | −1.67003 | − | 0.804242i | −0.267418 | − | 0.128782i | ||||
\(40\) | 0.146126 | − | 0.183236i | 0.0231045 | − | 0.0289721i | ||||
\(41\) | −9.56342 | + | 4.60550i | −1.49356 | + | 0.719258i | −0.989516 | − | 0.144422i | \(-0.953868\pi\) |
−0.504039 | + | 0.863681i | \(0.668153\pi\) | |||||||
\(42\) | 1.16666 | + | 0.308824i | 0.180020 | + | 0.0476525i | ||||
\(43\) | −3.15791 | − | 1.52077i | −0.481577 | − | 0.231915i | 0.177313 | − | 0.984155i | \(-0.443260\pi\) |
−0.658890 | + | 0.752239i | \(0.728974\pi\) | |||||||
\(44\) | −0.00318300 | + | 0.00153285i | −0.000479856 | + | 0.000231086i | ||||
\(45\) | 0.0234436 | − | 0.102713i | 0.00349477 | − | 0.0153116i | ||||
\(46\) | −1.18404 | + | 0.570204i | −0.174577 | + | 0.0840720i | ||||
\(47\) | 5.99487 | + | 7.51734i | 0.874442 | + | 1.09652i | 0.994602 | + | 0.103761i | \(0.0330879\pi\) |
−0.120160 | + | 0.992755i | \(0.538341\pi\) | |||||||
\(48\) | 6.74765 | 0.973939 | ||||||||
\(49\) | 6.50051 | − | 2.59680i | 0.928644 | − | 0.370971i | ||||
\(50\) | −1.21605 | −0.171976 | ||||||||
\(51\) | −7.18439 | − | 9.00893i | −1.00602 | − | 1.26150i | ||||
\(52\) | 1.74738 | − | 0.841492i | 0.242317 | − | 0.116694i | ||||
\(53\) | −0.930574 | + | 4.07711i | −0.127824 | + | 0.560034i | 0.869937 | + | 0.493162i | \(0.164159\pi\) |
−0.997762 | + | 0.0668722i | \(0.978698\pi\) | |||||||
\(54\) | 1.05382 | − | 0.507492i | 0.143406 | − | 0.0690609i | ||||
\(55\) | −0.000396765 | 0 | 0.000191072i | −5.34998e−5 | 0 | 2.57642e-5i | ||||
\(56\) | −2.05910 | + | 1.52934i | −0.275159 | + | 0.204367i | ||||
\(57\) | −12.3054 | + | 5.92598i | −1.62989 | + | 0.784916i | ||||
\(58\) | 0.0866729 | − | 0.108684i | 0.0113807 | − | 0.0142710i | ||||
\(59\) | −2.09108 | − | 1.00701i | −0.272236 | − | 0.131102i | 0.292785 | − | 0.956178i | \(-0.405418\pi\) |
−0.565021 | + | 0.825076i | \(0.691132\pi\) | |||||||
\(60\) | 0.541867 | + | 0.679480i | 0.0699547 | + | 0.0877205i | ||||
\(61\) | 0.251447 | + | 1.10166i | 0.0321945 | + | 0.141054i | 0.988471 | − | 0.151411i | \(-0.0483817\pi\) |
−0.956276 | + | 0.292465i | \(0.905525\pi\) | |||||||
\(62\) | 1.48063 | + | 1.85665i | 0.188041 | + | 0.235795i | ||||
\(63\) | −0.535673 | + | 1.02101i | −0.0674884 | + | 0.128636i | ||||
\(64\) | −4.10446 | + | 5.14682i | −0.513057 | + | 0.643353i | ||||
\(65\) | 0.217813 | + | 0.104893i | 0.0270163 | + | 0.0130104i | ||||
\(66\) | 0.000184895 | 0 | 0.000810077i | 2.27590e−5 | 0 | 9.97135e-5i | ||||
\(67\) | −5.22001 | −0.637726 | −0.318863 | − | 0.947801i | \(-0.603301\pi\) | ||||
−0.318863 | + | 0.947801i | \(0.603301\pi\) | |||||||
\(68\) | 12.0566 | 1.46207 | ||||||||
\(69\) | −2.20268 | − | 9.65058i | −0.265172 | − | 1.16179i | ||||
\(70\) | −0.152162 | − | 0.0402782i | −0.0181868 | − | 0.00481417i | ||||
\(71\) | 0.583921 | − | 2.55832i | 0.0692987 | − | 0.303617i | −0.928387 | − | 0.371615i | \(-0.878804\pi\) |
0.997685 | + | 0.0679981i | \(0.0216612\pi\) | |||||||
\(72\) | 0.0940104 | − | 0.411887i | 0.0110792 | − | 0.0485413i | ||||
\(73\) | −4.06927 | + | 5.10271i | −0.476272 | + | 0.597227i | −0.960695 | − | 0.277608i | \(-0.910458\pi\) |
0.484422 | + | 0.874834i | \(0.339030\pi\) | |||||||
\(74\) | −1.12739 | + | 1.41370i | −0.131057 | + | 0.164340i | ||||
\(75\) | 2.03821 | − | 8.92996i | 0.235352 | − | 1.03114i | ||||
\(76\) | 3.17995 | − | 13.9323i | 0.364766 | − | 1.59814i | ||||
\(77\) | 0.00366253 | + | 0.00313261i | 0.000417384 | + | 0.000356994i | ||||
\(78\) | −0.101502 | − | 0.444708i | −0.0114928 | − | 0.0503533i | ||||
\(79\) | 0.670602 | 0.0754487 | 0.0377243 | − | 0.999288i | \(-0.487989\pi\) | ||||
0.0377243 | + | 0.999288i | \(0.487989\pi\) | |||||||
\(80\) | −0.880059 | −0.0983936 | ||||||||
\(81\) | 2.25135 | + | 9.86380i | 0.250150 | + | 1.09598i | ||||
\(82\) | −2.35344 | − | 1.13336i | −0.259894 | − | 0.125158i | ||||
\(83\) | 7.51906 | − | 9.42860i | 0.825324 | − | 1.03492i | −0.173422 | − | 0.984848i | \(-0.555482\pi\) |
0.998745 | − | 0.0500755i | \(-0.0159462\pi\) | |||||||
\(84\) | −3.82986 | − | 8.70613i | −0.417872 | − | 0.949916i | ||||
\(85\) | 0.937021 | + | 1.17499i | 0.101634 | + | 0.127445i | ||||
\(86\) | −0.191933 | − | 0.840915i | −0.0206967 | − | 0.0906782i | ||||
\(87\) | 0.652841 | + | 0.818637i | 0.0699919 | + | 0.0877671i | ||||
\(88\) | −0.00159105 | 0.000766210i | −0.000169607 | 8.16783e-5i | ||||||
\(89\) | −9.78147 | + | 12.2656i | −1.03683 | + | 1.30015i | −0.0840621 | + | 0.996461i | \(0.526789\pi\) |
−0.952772 | + | 0.303688i | \(0.901782\pi\) | |||||||
\(90\) | 0.0233590 | − | 0.0112491i | 0.00246225 | − | 0.00118576i | ||||
\(91\) | −2.01062 | − | 1.71971i | −0.210770 | − | 0.180275i | ||||
\(92\) | 9.33155 | + | 4.49384i | 0.972881 | + | 0.468515i | ||||
\(93\) | −16.1158 | + | 7.76096i | −1.67113 | + | 0.804774i | ||||
\(94\) | −0.526515 | + | 2.30681i | −0.0543059 | + | 0.237930i | ||||
\(95\) | 1.60493 | − | 0.772894i | 0.164663 | − | 0.0792973i | ||||
\(96\) | 3.27608 | + | 4.10807i | 0.334363 | + | 0.419278i | ||||
\(97\) | −12.5101 | −1.27021 | −0.635106 | − | 0.772425i | \(-0.719044\pi\) | ||||
−0.635106 | + | 0.772425i | \(0.719044\pi\) | |||||||
\(98\) | 1.49701 | + | 0.852256i | 0.151221 | + | 0.0860909i | ||||
\(99\) | −0.000793838 | 0 | −7.97837e−5 | 0 | ||||||
\(100\) | 5.97544 | + | 7.49296i | 0.597544 | + | 0.749296i | ||||
\(101\) | 8.79037 | − | 4.23322i | 0.874675 | − | 0.421221i | 0.0579981 | − | 0.998317i | \(-0.481528\pi\) |
0.816677 | + | 0.577096i | \(0.195814\pi\) | |||||||
\(102\) | 0.630987 | − | 2.76454i | 0.0624770 | − | 0.273730i | ||||
\(103\) | 1.49912 | − | 0.721936i | 0.147712 | − | 0.0711345i | −0.358567 | − | 0.933504i | \(-0.616735\pi\) |
0.506280 | + | 0.862369i | \(0.331020\pi\) | |||||||
\(104\) | 0.873441 | + | 0.420627i | 0.0856480 | + | 0.0412459i | ||||
\(105\) | 0.550814 | − | 1.04987i | 0.0537540 | − | 0.102457i | ||||
\(106\) | −0.927213 | + | 0.446522i | −0.0900589 | + | 0.0433701i | ||||
\(107\) | −1.96575 | + | 2.46497i | −0.190036 | + | 0.238297i | −0.867717 | − | 0.497058i | \(-0.834414\pi\) |
0.677681 | + | 0.735356i | \(0.262985\pi\) | |||||||
\(108\) | −8.30525 | − | 3.99960i | −0.799173 | − | 0.384862i | ||||
\(109\) | −5.39802 | − | 6.76891i | −0.517037 | − | 0.648344i | 0.452940 | − | 0.891541i | \(-0.350375\pi\) |
−0.969977 | + | 0.243197i | \(0.921804\pi\) | |||||||
\(110\) | −2.41148e−5 | 0 | 0.000105654i | −2.29926e−6 | 0 | 1.00737e-5i | ||||
\(111\) | −8.49178 | − | 10.6484i | −0.806004 | − | 1.01070i | ||||
\(112\) | 9.31069 | + | 2.46460i | 0.879777 | + | 0.232883i | ||||
\(113\) | 11.6161 | − | 14.5662i | 1.09275 | − | 1.37027i | 0.169745 | − | 0.985488i | \(-0.445705\pi\) |
0.923008 | − | 0.384781i | \(-0.125723\pi\) | |||||||
\(114\) | −3.02821 | − | 1.45831i | −0.283618 | − | 0.136583i | ||||
\(115\) | 0.287284 | + | 1.25867i | 0.0267894 | + | 0.117372i | ||||
\(116\) | −1.09557 | −0.101721 | ||||||||
\(117\) | 0.435794 | 0.0402892 | ||||||||
\(118\) | −0.127093 | − | 0.556831i | −0.0116999 | − | 0.0512605i | ||||
\(119\) | −6.62278 | − | 15.0550i | −0.607109 | − | 1.38009i | ||||
\(120\) | −0.0966678 | + | 0.423529i | −0.00882452 | + | 0.0386627i | ||||
\(121\) | 2.44773 | − | 10.7242i | 0.222521 | − | 0.974928i | ||||
\(122\) | −0.173378 | + | 0.217410i | −0.0156969 | + | 0.0196833i | ||||
\(123\) | 12.2672 | − | 15.3826i | 1.10610 | − | 1.38700i | ||||
\(124\) | 4.16463 | − | 18.2464i | 0.373994 | − | 1.63858i | ||||
\(125\) | −0.534809 | + | 2.34315i | −0.0478347 | + | 0.209578i | ||||
\(126\) | −0.278632 | + | 0.0535943i | −0.0248225 | + | 0.00477456i | ||||
\(127\) | −4.18219 | − | 18.3234i | −0.371109 | − | 1.62594i | −0.723670 | − | 0.690147i | \(-0.757546\pi\) |
0.352560 | − | 0.935789i | \(-0.385311\pi\) | |||||||
\(128\) | −7.28946 | −0.644303 | ||||||||
\(129\) | 6.49687 | 0.572017 | ||||||||
\(130\) | 0.0132383 | + | 0.0580009i | 0.00116108 | + | 0.00508702i | ||||
\(131\) | 11.5439 | + | 5.55925i | 1.00860 | + | 0.485714i | 0.863847 | − | 0.503754i | \(-0.168048\pi\) |
0.144749 | + | 0.989468i | \(0.453763\pi\) | |||||||
\(132\) | 0.00408291 | − | 0.00511981i | 0.000355372 | − | 0.000445622i | ||||
\(133\) | −19.1440 | + | 3.68232i | −1.66000 | + | 0.319298i | ||||
\(134\) | −0.800922 | − | 1.00432i | −0.0691891 | − | 0.0867604i | ||||
\(135\) | −0.255688 | − | 1.12024i | −0.0220061 | − | 0.0964152i | ||||
\(136\) | 3.75751 | + | 4.71177i | 0.322204 | + | 0.404031i | ||||
\(137\) | 13.1265 | + | 6.32140i | 1.12147 | + | 0.540074i | 0.900348 | − | 0.435171i | \(-0.143312\pi\) |
0.221127 | + | 0.975245i | \(0.429026\pi\) | |||||||
\(138\) | 1.51880 | − | 1.90451i | 0.129289 | − | 0.162123i | ||||
\(139\) | 12.5649 | − | 6.05094i | 1.06574 | − | 0.513234i | 0.183010 | − | 0.983111i | \(-0.441416\pi\) |
0.882732 | + | 0.469877i | \(0.155702\pi\) | |||||||
\(140\) | 0.499509 | + | 1.13549i | 0.0422162 | + | 0.0959667i | ||||
\(141\) | −16.0574 | − | 7.73282i | −1.35227 | − | 0.651221i | ||||
\(142\) | 0.581812 | − | 0.280186i | 0.0488245 | − | 0.0235127i | ||||
\(143\) | 0.000405342 | − | 0.00177592i | 3.38964e−5 | − | 0.000148510i | ||||
\(144\) | −1.42932 | + | 0.688325i | −0.119110 | + | 0.0573604i | ||||
\(145\) | −0.0851466 | − | 0.106770i | −0.00707104 | − | 0.00886680i | ||||
\(146\) | −1.60612 | −0.132923 | ||||||||
\(147\) | −8.76757 | + | 9.56471i | −0.723137 | + | 0.788884i | ||||
\(148\) | 14.2506 | 1.17139 | ||||||||
\(149\) | 1.29488 | + | 1.62373i | 0.106081 | + | 0.133021i | 0.832038 | − | 0.554719i | \(-0.187174\pi\) |
−0.725957 | + | 0.687740i | \(0.758603\pi\) | |||||||
\(150\) | 2.03084 | − | 0.978002i | 0.165818 | − | 0.0798536i | ||||
\(151\) | 0.788617 | − | 3.45516i | 0.0641768 | − | 0.281177i | −0.932650 | − | 0.360784i | \(-0.882509\pi\) |
0.996826 | + | 0.0796068i | \(0.0253665\pi\) | |||||||
\(152\) | 6.43587 | − | 3.09935i | 0.522018 | − | 0.251391i | ||||
\(153\) | 2.44083 | + | 1.17544i | 0.197329 | + | 0.0950289i | ||||
\(154\) | −4.07577e−5 | 0.00118531i | −3.28435e−6 | 9.55151e-5i | ||||||
\(155\) | 2.10190 | − | 1.01222i | 0.168828 | − | 0.0813035i | ||||
\(156\) | −2.24140 | + | 2.81063i | −0.179456 | + | 0.225030i | ||||
\(157\) | −6.23964 | − | 3.00485i | −0.497978 | − | 0.239813i | 0.167997 | − | 0.985787i | \(-0.446270\pi\) |
−0.665975 | + | 0.745974i | \(0.731984\pi\) | |||||||
\(158\) | 0.102893 | + | 0.129023i | 0.00818569 | + | 0.0102645i | ||||
\(159\) | −1.72490 | − | 7.55729i | −0.136794 | − | 0.599332i | ||||
\(160\) | −0.427282 | − | 0.535794i | −0.0337796 | − | 0.0423582i | ||||
\(161\) | 0.485554 | − | 14.1208i | 0.0382670 | − | 1.11288i | ||||
\(162\) | −1.55235 | + | 1.94659i | −0.121964 | + | 0.152938i | ||||
\(163\) | −8.98089 | − | 4.32497i | −0.703437 | − | 0.338758i | 0.0477384 | − | 0.998860i | \(-0.484799\pi\) |
−0.751176 | + | 0.660102i | \(0.770513\pi\) | |||||||
\(164\) | 4.58090 | + | 20.0702i | 0.357708 | + | 1.56722i | ||||
\(165\) | 0.000816277 | 0 | 6.35471e−5 | 0 | ||||||
\(166\) | 2.96772 | 0.230340 | ||||||||
\(167\) | 3.12296 | + | 13.6826i | 0.241662 | + | 1.05879i | 0.939504 | + | 0.342538i | \(0.111286\pi\) |
−0.697842 | + | 0.716251i | \(0.745856\pi\) | |||||||
\(168\) | 2.20880 | − | 4.21006i | 0.170412 | − | 0.324813i | ||||
\(169\) | −0.222521 | + | 0.974928i | −0.0171170 | + | 0.0749945i | ||||
\(170\) | −0.0822963 | + | 0.360564i | −0.00631184 | + | 0.0276540i | ||||
\(171\) | 2.00209 | − | 2.51054i | 0.153104 | − | 0.191986i | ||||
\(172\) | −4.23835 | + | 5.31472i | −0.323171 | + | 0.405243i | ||||
\(173\) | −4.14494 | + | 18.1602i | −0.315134 | + | 1.38069i | 0.530841 | + | 0.847471i | \(0.321876\pi\) |
−0.845976 | + | 0.533222i | \(0.820981\pi\) | |||||||
\(174\) | −0.0573375 | + | 0.251212i | −0.00434674 | + | 0.0190443i | ||||
\(175\) | 6.07410 | − | 11.5775i | 0.459159 | − | 0.875175i | ||||
\(176\) | 0.00147557 | + | 0.00646490i | 0.000111225 | + | 0.000487310i | ||||
\(177\) | 4.30205 | 0.323362 | ||||||||
\(178\) | −3.86068 | −0.289370 | ||||||||
\(179\) | 3.26102 | + | 14.2875i | 0.243740 | + | 1.06790i | 0.937581 | + | 0.347767i | \(0.113060\pi\) |
−0.693841 | + | 0.720129i | \(0.744083\pi\) | |||||||
\(180\) | −0.184094 | − | 0.0886552i | −0.0137216 | − | 0.00660797i | ||||
\(181\) | 7.34270 | − | 9.20746i | 0.545779 | − | 0.684385i | −0.430079 | − | 0.902791i | \(-0.641514\pi\) |
0.975858 | + | 0.218406i | \(0.0700858\pi\) | |||||||
\(182\) | 0.0223748 | − | 0.650701i | 0.00165853 | − | 0.0482332i | ||||
\(183\) | −1.30593 | − | 1.63758i | −0.0965370 | − | 0.121054i | ||||
\(184\) | 1.15203 | + | 5.04736i | 0.0849285 | + | 0.372096i | ||||
\(185\) | 1.10754 | + | 1.38881i | 0.0814278 | + | 0.102107i | ||||
\(186\) | −3.96590 | − | 1.90987i | −0.290794 | − | 0.140039i | ||||
\(187\) | 0.00706036 | − | 0.00885341i | 0.000516305 | − | 0.000647425i | ||||
\(188\) | 16.8011 | − | 8.09097i | 1.22534 | − | 0.590095i | ||||
\(189\) | −0.432152 | + | 12.5678i | −0.0314344 | + | 0.914172i | ||||
\(190\) | 0.394953 | + | 0.190200i | 0.0286529 | + | 0.0137985i | ||||
\(191\) | −4.38948 | + | 2.11386i | −0.317612 | + | 0.152954i | −0.585896 | − | 0.810386i | \(-0.699257\pi\) |
0.268285 | + | 0.963340i | \(0.413543\pi\) | |||||||
\(192\) | 2.71526 | − | 11.8963i | 0.195957 | − | 0.858542i | ||||
\(193\) | 16.1542 | − | 7.77948i | 1.16281 | − | 0.559979i | 0.249951 | − | 0.968258i | \(-0.419585\pi\) |
0.912857 | + | 0.408279i | \(0.133871\pi\) | |||||||
\(194\) | −1.91947 | − | 2.40694i | −0.137810 | − | 0.172808i | ||||
\(195\) | −0.448112 | −0.0320900 | ||||||||
\(196\) | −2.10467 | − | 13.4120i | −0.150333 | − | 0.957997i | ||||
\(197\) | −21.2007 | −1.51049 | −0.755243 | − | 0.655445i | \(-0.772481\pi\) | ||||
−0.755243 | + | 0.655445i | \(0.772481\pi\) | |||||||
\(198\) | −0.000121801 | 0 | 0.000152734i | −8.65601e−6 | 0 | 1.08543e-5i | ||||
\(199\) | −20.6426 | + | 9.94094i | −1.46331 | + | 0.704695i | −0.984849 | − | 0.173412i | \(-0.944521\pi\) |
−0.478465 | + | 0.878107i | \(0.658807\pi\) | |||||||
\(200\) | −1.06600 | + | 4.67046i | −0.0753778 | + | 0.330252i | ||||
\(201\) | 8.71755 | − | 4.19815i | 0.614889 | − | 0.296115i | ||||
\(202\) | 2.16320 | + | 1.04174i | 0.152202 | + | 0.0732967i | ||||
\(203\) | 0.601808 | + | 1.36804i | 0.0422386 | + | 0.0960177i | ||||
\(204\) | −20.1348 | + | 9.69639i | −1.40972 | + | 0.678883i | ||||
\(205\) | −1.59995 | + | 2.00627i | −0.111745 | + | 0.140124i | ||||
\(206\) | 0.368914 | + | 0.177659i | 0.0257034 | + | 0.0123781i | ||||
\(207\) | 1.45104 | + | 1.81954i | 0.100854 | + | 0.126467i | ||||
\(208\) | −0.810046 | − | 3.54904i | −0.0561666 | − | 0.246082i | ||||
\(209\) | −0.00836861 | − | 0.0104939i | −0.000578869 | − | 0.000725879i | ||||
\(210\) | 0.286508 | − | 0.0551092i | 0.0197709 | − | 0.00380290i | ||||
\(211\) | −7.12832 | + | 8.93863i | −0.490734 | + | 0.615360i | −0.964111 | − | 0.265499i | \(-0.914463\pi\) |
0.473378 | + | 0.880860i | \(0.343035\pi\) | |||||||
\(212\) | 7.30746 | + | 3.51909i | 0.501879 | + | 0.241692i | ||||
\(213\) | 1.08235 | + | 4.74208i | 0.0741614 | + | 0.324922i | ||||
\(214\) | −0.775867 | −0.0530372 | ||||||||
\(215\) | −0.847352 | −0.0577889 | ||||||||
\(216\) | −1.02532 | − | 4.49224i | −0.0697645 | − | 0.305658i | ||||
\(217\) | −25.0720 | + | 4.82255i | −1.70200 | + | 0.327376i | ||||
\(218\) | 0.474095 | − | 2.07715i | 0.0321098 | − | 0.140682i | ||||
\(219\) | 2.69198 | − | 11.7943i | 0.181907 | − | 0.796988i | ||||
\(220\) | −0.000532513 | 0 | 0.000667750i | −3.59020e−5 | 0 | 4.50197e-5i | ||||
\(221\) | −3.87593 | + | 4.86026i | −0.260723 | + | 0.326937i | ||||
\(222\) | 0.745813 | − | 3.26762i | 0.0500557 | − | 0.219308i | ||||
\(223\) | −4.77141 | + | 20.9049i | −0.319518 | + | 1.39990i | 0.518884 | + | 0.854845i | \(0.326348\pi\) |
−0.838401 | + | 0.545053i | \(0.816509\pi\) | |||||||
\(224\) | 3.01998 | + | 6.86509i | 0.201781 | + | 0.458693i | ||||
\(225\) | 0.479199 | + | 2.09951i | 0.0319466 | + | 0.139967i | ||||
\(226\) | 4.58481 | 0.304977 | ||||||||
\(227\) | −5.21607 | −0.346203 | −0.173101 | − | 0.984904i | \(-0.555379\pi\) | ||||
−0.173101 | + | 0.984904i | \(0.555379\pi\) | |||||||
\(228\) | 5.89433 | + | 25.8248i | 0.390362 | + | 1.71029i | ||||
\(229\) | −22.0835 | − | 10.6348i | −1.45932 | − | 0.702770i | −0.475132 | − | 0.879914i | \(-0.657600\pi\) |
−0.984185 | + | 0.177144i | \(0.943314\pi\) | |||||||
\(230\) | −0.198089 | + | 0.248395i | −0.0130616 | + | 0.0163787i | ||||
\(231\) | −0.00863589 | − | 0.00228598i | −0.000568200 | − | 0.000150406i | ||||
\(232\) | −0.341443 | − | 0.428156i | −0.0224168 | − | 0.0281098i | ||||
\(233\) | 5.34548 | + | 23.4201i | 0.350194 | + | 1.53430i | 0.776732 | + | 0.629831i | \(0.216876\pi\) |
−0.426538 | + | 0.904470i | \(0.640267\pi\) | |||||||
\(234\) | 0.0668652 | + | 0.0838462i | 0.00437111 | + | 0.00548120i | ||||
\(235\) | 2.09428 | + | 1.00855i | 0.136615 | + | 0.0657905i | ||||
\(236\) | −2.80652 | + | 3.51926i | −0.182689 | + | 0.229084i | ||||
\(237\) | −1.11992 | + | 0.539327i | −0.0727469 | + | 0.0350330i | ||||
\(238\) | 1.88042 | − | 3.58415i | 0.121889 | − | 0.232326i | ||||
\(239\) | −11.0816 | − | 5.33660i | −0.716806 | − | 0.345196i | 0.0396735 | − | 0.999213i | \(-0.487368\pi\) |
−0.756480 | + | 0.654017i | \(0.773083\pi\) | |||||||
\(240\) | 1.46972 | − | 0.707781i | 0.0948702 | − | 0.0456871i | ||||
\(241\) | −4.86967 | + | 21.3354i | −0.313683 | + | 1.37433i | 0.534740 | + | 0.845016i | \(0.320409\pi\) |
−0.848423 | + | 0.529318i | \(0.822448\pi\) | |||||||
\(242\) | 2.43889 | − | 1.17451i | 0.156778 | − | 0.0755001i | ||||
\(243\) | −2.80238 | − | 3.51408i | −0.179773 | − | 0.225428i | ||||
\(244\) | 2.19156 | 0.140300 | ||||||||
\(245\) | 1.14351 | − | 1.24747i | 0.0730560 | − | 0.0796982i | ||||
\(246\) | 4.84180 | 0.308702 | ||||||||
\(247\) | 4.59413 | + | 5.76085i | 0.292317 | + | 0.366554i | ||||
\(248\) | 8.42873 | − | 4.05906i | 0.535225 | − | 0.257751i | ||||
\(249\) | −4.97414 | + | 21.7932i | −0.315224 | + | 1.38108i | ||||
\(250\) | −0.532877 | + | 0.256620i | −0.0337021 | + | 0.0162301i | ||||
\(251\) | 18.9949 | + | 9.14748i | 1.19895 | + | 0.577384i | 0.923376 | − | 0.383896i | \(-0.125418\pi\) |
0.275574 | + | 0.961280i | \(0.411132\pi\) | |||||||
\(252\) | 1.69937 | + | 1.45349i | 0.107050 | + | 0.0915615i | ||||
\(253\) | 0.00876452 | − | 0.00422077i | 0.000551020 | − | 0.000265357i | ||||
\(254\) | 2.88371 | − | 3.61606i | 0.180940 | − | 0.226892i | ||||
\(255\) | −2.50982 | − | 1.20867i | −0.157171 | − | 0.0756897i | ||||
\(256\) | 7.09047 | + | 8.89117i | 0.443154 | + | 0.555698i | ||||
\(257\) | −6.35112 | − | 27.8261i | −0.396172 | − | 1.73574i | −0.642251 | − | 0.766494i | \(-0.722000\pi\) |
0.246079 | − | 0.969250i | \(-0.420858\pi\) | |||||||
\(258\) | 0.996834 | + | 1.24999i | 0.0620602 | + | 0.0778210i | ||||
\(259\) | −7.82797 | − | 17.7947i | −0.486407 | − | 1.10571i | ||||
\(260\) | 0.292334 | − | 0.366575i | 0.0181298 | − | 0.0227340i | ||||
\(261\) | −0.221797 | − | 0.106812i | −0.0137289 | − | 0.00661148i | ||||
\(262\) | 0.701622 | + | 3.07401i | 0.0433464 | + | 0.189913i | ||||
\(263\) | 7.44202 | 0.458894 | 0.229447 | − | 0.973321i | \(-0.426308\pi\) | ||||
0.229447 | + | 0.973321i | \(0.426308\pi\) | |||||||
\(264\) | 0.00327332 | 0.000201459 | ||||||||
\(265\) | 0.224970 | + | 0.985657i | 0.0138198 | + | 0.0605484i | ||||
\(266\) | −3.64580 | − | 3.11830i | −0.223538 | − | 0.191195i | ||||
\(267\) | 6.47082 | − | 28.3505i | 0.396008 | − | 1.73502i | ||||
\(268\) | −2.25278 | + | 9.87007i | −0.137610 | + | 0.602911i | ||||
\(269\) | 7.45388 | − | 9.34687i | 0.454471 | − | 0.569888i | −0.500822 | − | 0.865550i | \(-0.666969\pi\) |
0.955293 | + | 0.295662i | \(0.0955402\pi\) | |||||||
\(270\) | 0.176302 | − | 0.221076i | 0.0107294 | − | 0.0134543i | ||||
\(271\) | −0.906308 | + | 3.97079i | −0.0550543 | + | 0.241209i | −0.994967 | − | 0.100207i | \(-0.968049\pi\) |
0.939912 | + | 0.341416i | \(0.110906\pi\) | |||||||
\(272\) | 5.03566 | − | 22.0627i | 0.305332 | − | 1.33775i | ||||
\(273\) | 4.74085 | + | 1.25494i | 0.286930 | + | 0.0759521i | ||||
\(274\) | 0.797811 | + | 3.49544i | 0.0481975 | + | 0.211167i | ||||
\(275\) | 0.00900149 | 0.000542810 | ||||||||
\(276\) | −19.1981 | −1.15559 | ||||||||
\(277\) | 2.61748 | + | 11.4679i | 0.157269 | + | 0.689042i | 0.990660 | + | 0.136357i | \(0.0435395\pi\) |
−0.833390 | + | 0.552685i | \(0.813603\pi\) | |||||||
\(278\) | 3.09206 | + | 1.48906i | 0.185450 | + | 0.0893079i | ||||
\(279\) | 2.62204 | − | 3.28793i | 0.156977 | − | 0.196843i | ||||
\(280\) | −0.288082 | + | 0.549095i | −0.0172162 | + | 0.0328147i | ||||
\(281\) | −5.61102 | − | 7.03600i | −0.334726 | − | 0.419733i | 0.585775 | − | 0.810474i | \(-0.300790\pi\) |
−0.920501 | + | 0.390741i | \(0.872219\pi\) | |||||||
\(282\) | −0.975943 | − | 4.27589i | −0.0581166 | − | 0.254625i | ||||
\(283\) | 8.33018 | + | 10.4457i | 0.495178 | + | 0.620933i | 0.965134 | − | 0.261756i | \(-0.0843017\pi\) |
−0.469956 | + | 0.882690i | \(0.655730\pi\) | |||||||
\(284\) | −4.58532 | − | 2.20817i | −0.272089 | − | 0.131031i | ||||
\(285\) | −2.05868 | + | 2.58151i | −0.121946 | + | 0.152915i | ||||
\(286\) | 0.000403878 | 0 | 0.000194497i | 2.38818e−5 | 0 | 1.15009e-5i | ||||
\(287\) | 22.5454 | − | 16.7449i | 1.33081 | − | 0.988422i | ||||
\(288\) | −1.11302 | − | 0.536001i | −0.0655852 | − | 0.0315842i | ||||
\(289\) | −19.5015 | + | 9.39142i | −1.14715 | + | 0.552436i | ||||
\(290\) | 0.00747822 | − | 0.0327642i | 0.000439136 | − | 0.00192398i | ||||
\(291\) | 20.8923 | − | 10.0612i | 1.22473 | − | 0.589797i | ||||
\(292\) | 7.89212 | + | 9.89640i | 0.461851 | + | 0.579143i | ||||
\(293\) | 31.6295 | 1.84782 | 0.923909 | − | 0.382613i | \(-0.124976\pi\) | ||||
0.923909 | + | 0.382613i | \(0.124976\pi\) | |||||||
\(294\) | −3.18547 | − | 0.219329i | −0.185781 | − | 0.0127915i | ||||
\(295\) | −0.561093 | −0.0326681 | ||||||||
\(296\) | 4.44129 | + | 5.56920i | 0.258145 | + | 0.323703i | ||||
\(297\) | −0.00780058 | + | 0.00375656i | −0.000452636 | + | 0.000217978i | ||||
\(298\) | −0.113726 | + | 0.498267i | −0.00658798 | + | 0.0288638i | ||||
\(299\) | −4.81146 | + | 2.31708i | −0.278254 | + | 0.134000i | ||||
\(300\) | −16.0053 | − | 7.70774i | −0.924066 | − | 0.445007i | ||||
\(301\) | 8.96465 | + | 2.37300i | 0.516714 | + | 0.136778i | ||||
\(302\) | 0.785768 | − | 0.378406i | 0.0452159 | − | 0.0217748i | ||||
\(303\) | −11.2756 | + | 14.1392i | −0.647767 | + | 0.812275i | ||||
\(304\) | −24.1670 | − | 11.6382i | −1.38607 | − | 0.667496i | ||||
\(305\) | 0.170325 | + | 0.213581i | 0.00975279 | + | 0.0122296i | ||||
\(306\) | 0.148350 | + | 0.649965i | 0.00848062 | + | 0.0371560i | ||||
\(307\) | −9.01771 | − | 11.3079i | −0.514668 | − | 0.645373i | 0.454799 | − | 0.890594i | \(-0.349711\pi\) |
−0.969467 | + | 0.245221i | \(0.921140\pi\) | |||||||
\(308\) | 0.00750381 | − | 0.00557323i | 0.000427569 | − | 0.000317564i | ||||
\(309\) | −1.92295 | + | 2.41131i | −0.109393 | + | 0.137174i | ||||
\(310\) | 0.517251 | + | 0.249095i | 0.0293779 | + | 0.0141476i | ||||
\(311\) | −5.19501 | − | 22.7608i | −0.294582 | − | 1.29065i | −0.878072 | − | 0.478528i | \(-0.841171\pi\) |
0.583490 | − | 0.812120i | \(-0.301687\pi\) | |||||||
\(312\) | −1.79696 | −0.101733 | ||||||||
\(313\) | 26.1614 | 1.47873 | 0.739364 | − | 0.673306i | \(-0.235126\pi\) | ||||
0.739364 | + | 0.673306i | \(0.235126\pi\) | |||||||
\(314\) | −0.379236 | − | 1.66154i | −0.0214016 | − | 0.0937663i | ||||
\(315\) | −0.00957909 | + | 0.278578i | −0.000539720 | + | 0.0156961i | ||||
\(316\) | 0.289409 | − | 1.26799i | 0.0162805 | − | 0.0713297i | ||||
\(317\) | −4.43272 | + | 19.4210i | −0.248966 | + | 1.09079i | 0.683618 | + | 0.729840i | \(0.260406\pi\) |
−0.932584 | + | 0.360953i | \(0.882451\pi\) | |||||||
\(318\) | 1.18936 | − | 1.49141i | 0.0666959 | − | 0.0836340i | ||||
\(319\) | −0.000641571 | 0 | 0.000804504i | −3.59211e−5 | 0 | 4.50436e-5i | ||||
\(320\) | −0.354136 | + | 1.55157i | −0.0197968 | + | 0.0867355i | ||||
\(321\) | 1.30042 | − | 5.69750i | 0.0725822 | − | 0.318003i | ||||
\(322\) | 2.79133 | − | 2.07318i | 0.155555 | − | 0.115534i | ||||
\(323\) | 10.1927 | + | 44.6573i | 0.567139 | + | 2.48480i | ||||
\(324\) | 19.6222 | 1.09012 | ||||||||
\(325\) | −4.94156 | −0.274108 | ||||||||
\(326\) | −0.545845 | − | 2.39150i | −0.0302316 | − | 0.132453i | ||||
\(327\) | 14.4587 | + | 6.96294i | 0.799567 | + | 0.385051i | ||||
\(328\) | −6.41589 | + | 8.04527i | −0.354258 | + | 0.444226i | ||||
\(329\) | −19.3322 | − | 16.5351i | −1.06582 | − | 0.911608i | ||||
\(330\) | 0.000125244 | 0 | 0.000157051i | 6.89444e−6 | 0 | 8.64536e-6i | ||||
\(331\) | −7.24259 | − | 31.7319i | −0.398089 | − | 1.74414i | −0.634909 | − | 0.772587i | \(-0.718962\pi\) |
0.236820 | − | 0.971554i | \(-0.423895\pi\) | |||||||
\(332\) | −14.5828 | − | 18.2862i | −0.800333 | − | 1.00359i | ||||
\(333\) | 2.88501 | + | 1.38935i | 0.158097 | + | 0.0761357i | ||||
\(334\) | −2.15335 | + | 2.70021i | −0.117826 | + | 0.147749i | ||||
\(335\) | −1.13698 | + | 0.547543i | −0.0621201 | + | 0.0299154i | ||||
\(336\) | −17.5312 | + | 3.37210i | −0.956407 | + | 0.183963i | ||||
\(337\) | −9.77228 | − | 4.70608i | −0.532330 | − | 0.256357i | 0.148353 | − | 0.988934i | \(-0.452603\pi\) |
−0.680683 | + | 0.732578i | \(0.738317\pi\) | |||||||
\(338\) | −0.221717 | + | 0.106773i | −0.0120598 | + | 0.00580770i | ||||
\(339\) | −7.68451 | + | 33.6681i | −0.417365 | + | 1.82860i | ||||
\(340\) | 2.62607 | − | 1.26465i | 0.142419 | − | 0.0685852i | ||||
\(341\) | −0.0109600 | − | 0.0137433i | −0.000593515 | − | 0.000744244i | ||||
\(342\) | 0.790213 | 0.0427298 | ||||||||
\(343\) | −15.5914 | + | 9.99540i | −0.841857 | + | 0.539701i | ||||
\(344\) | −3.39793 | −0.183204 | ||||||||
\(345\) | −1.49205 | − | 1.87097i | −0.0803293 | − | 0.100730i | ||||
\(346\) | −4.12997 | + | 1.98889i | −0.222029 | + | 0.106923i | ||||
\(347\) | −2.00309 | + | 8.77610i | −0.107531 | + | 0.471126i | 0.892276 | + | 0.451491i | \(0.149108\pi\) |
−0.999807 | + | 0.0196350i | \(0.993750\pi\) | |||||||
\(348\) | 1.82964 | − | 0.881106i | 0.0980787 | − | 0.0472322i | ||||
\(349\) | 1.10417 | + | 0.531741i | 0.0591049 | + | 0.0284634i | 0.463203 | − | 0.886252i | \(-0.346700\pi\) |
−0.404098 | + | 0.914716i | \(0.632414\pi\) | |||||||
\(350\) | 3.15946 | − | 0.607717i | 0.168880 | − | 0.0324838i | ||||
\(351\) | 4.28229 | − | 2.06224i | 0.228572 | − | 0.110074i | ||||
\(352\) | −0.00321952 | + | 0.00403715i | −0.000171601 | + | 0.000215181i | ||||
\(353\) | 8.67171 | + | 4.17607i | 0.461548 | + | 0.222270i | 0.650183 | − | 0.759777i | \(-0.274692\pi\) |
−0.188635 | + | 0.982047i | \(0.560406\pi\) | |||||||
\(354\) | 0.660076 | + | 0.827709i | 0.0350826 | + | 0.0439922i | ||||
\(355\) | −0.141165 | − | 0.618485i | −0.00749226 | − | 0.0328258i | ||||
\(356\) | 18.9706 | + | 23.7884i | 1.00544 | + | 1.26078i | ||||
\(357\) | 23.1681 | + | 19.8160i | 1.22619 | + | 1.04877i | ||||
\(358\) | −2.24855 | + | 2.81959i | −0.118839 | + | 0.149020i | ||||
\(359\) | −18.0813 | − | 8.70748i | −0.954292 | − | 0.459563i | −0.109103 | − | 0.994030i | \(-0.534798\pi\) |
−0.845189 | + | 0.534467i | \(0.820512\pi\) | |||||||
\(360\) | −0.0227274 | − | 0.0995751i | −0.00119784 | − | 0.00524807i | ||||
\(361\) | 35.2934 | 1.85755 | ||||||||
\(362\) | 2.89812 | 0.152322 | ||||||||
\(363\) | 4.53709 | + | 19.8783i | 0.238135 | + | 1.04334i | ||||
\(364\) | −4.11937 | + | 3.05954i | −0.215914 | + | 0.160364i | ||||
\(365\) | −0.351101 | + | 1.53827i | −0.0183774 | + | 0.0805169i | ||||
\(366\) | 0.114697 | − | 0.502518i | 0.00599528 | − | 0.0262670i | ||||
\(367\) | 20.5709 | − | 25.7951i | 1.07379 | − | 1.34649i | 0.139402 | − | 0.990236i | \(-0.455482\pi\) |
0.934389 | − | 0.356256i | \(-0.115947\pi\) | |||||||
\(368\) | 12.1209 | − | 15.1992i | 0.631847 | − | 0.792311i | ||||
\(369\) | −1.02933 | + | 4.50980i | −0.0535849 | + | 0.234771i | ||||
\(370\) | −0.0972724 | + | 0.426178i | −0.00505695 | + | 0.0221559i | ||||
\(371\) | 0.380233 | − | 11.0579i | 0.0197407 | − | 0.574097i | ||||
\(372\) | 7.71951 | + | 33.8214i | 0.400238 | + | 1.75356i | ||||
\(373\) | 11.3830 | 0.589392 | 0.294696 | − | 0.955591i | \(-0.404782\pi\) | ||||
0.294696 | + | 0.955591i | \(0.404782\pi\) | |||||||
\(374\) | 0.00278668 | 0.000144096 | ||||||||
\(375\) | −0.991316 | − | 4.34324i | −0.0511913 | − | 0.224284i | ||||
\(376\) | 8.39817 | + | 4.04434i | 0.433102 | + | 0.208571i | ||||
\(377\) | 0.352204 | − | 0.441650i | 0.0181394 | − | 0.0227461i | ||||
\(378\) | −2.48433 | + | 1.84517i | −0.127780 | + | 0.0949052i | ||||
\(379\) | 5.47128 | + | 6.86076i | 0.281041 | + | 0.352414i | 0.902237 | − | 0.431242i | \(-0.141924\pi\) |
−0.621196 | + | 0.783655i | \(0.713353\pi\) | |||||||
\(380\) | −0.768766 | − | 3.36818i | −0.0394369 | − | 0.172784i | ||||
\(381\) | 21.7208 | + | 27.2370i | 1.11279 | + | 1.39539i | ||||
\(382\) | −1.08020 | − | 0.520195i | −0.0552676 | − | 0.0266155i | ||||
\(383\) | −2.13957 | + | 2.68293i | −0.109327 | + | 0.137091i | −0.833484 | − | 0.552543i | \(-0.813657\pi\) |
0.724158 | + | 0.689635i | \(0.242229\pi\) | |||||||
\(384\) | 12.1736 | − | 5.86249i | 0.621231 | − | 0.299169i | ||||
\(385\) | 0.00112633 | 0.000298148i | 5.74033e−5 | 1.51950e-5i | ||||||
\(386\) | 3.97536 | + | 1.91443i | 0.202340 | + | 0.0974420i | ||||
\(387\) | −1.37620 | + | 0.662743i | −0.0699561 | + | 0.0336891i | ||||
\(388\) | −5.39896 | + | 23.6544i | −0.274090 | + | 1.20087i | ||||
\(389\) | 15.8958 | − | 7.65503i | 0.805951 | − | 0.388125i | 0.0149098 | − | 0.999889i | \(-0.495254\pi\) |
0.791041 | + | 0.611764i | \(0.209540\pi\) | |||||||
\(390\) | −0.0687552 | − | 0.0862163i | −0.00348155 | − | 0.00436573i | ||||
\(391\) | −33.1982 | −1.67890 | ||||||||
\(392\) | 4.58553 | − | 5.00244i | 0.231604 | − | 0.252662i | ||||
\(393\) | −23.7496 | −1.19801 | ||||||||
\(394\) | −3.25288 | − | 4.07899i | −0.163878 | − | 0.205496i | ||||
\(395\) | 0.146066 | − | 0.0703415i | 0.00734936 | − | 0.00353927i | ||||
\(396\) | −0.000342594 | 0.00150100i | −1.72160e−5 | 7.54281e-5i | ||||||
\(397\) | −6.97648 | + | 3.35970i | −0.350140 | + | 0.168618i | −0.600684 | − | 0.799487i | \(-0.705105\pi\) |
0.250544 | + | 0.968105i | \(0.419391\pi\) | |||||||
\(398\) | −5.07988 | − | 2.44634i | −0.254631 | − | 0.122624i | ||||
\(399\) | 29.0096 | − | 21.5460i | 1.45230 | − | 1.07865i | ||||
\(400\) | 16.2074 | − | 7.80505i | 0.810368 | − | 0.390253i | ||||
\(401\) | 3.13916 | − | 3.93638i | 0.156762 | − | 0.196573i | −0.697248 | − | 0.716830i | \(-0.745592\pi\) |
0.854010 | + | 0.520257i | \(0.174164\pi\) | |||||||
\(402\) | 2.14528 | + | 1.03311i | 0.106997 | + | 0.0515270i | ||||
\(403\) | 6.01669 | + | 7.54470i | 0.299713 | + | 0.375828i | ||||
\(404\) | −4.21061 | − | 18.4479i | −0.209486 | − | 0.917817i | ||||
\(405\) | 1.52502 | + | 1.91231i | 0.0757786 | + | 0.0950234i | ||||
\(406\) | −0.170873 | + | 0.325690i | −0.00848026 | + | 0.0161637i | ||||
\(407\) | 0.00834519 | − | 0.0104645i | 0.000413656 | − | 0.000518708i | ||||
\(408\) | −10.0645 | − | 4.84683i | −0.498269 | − | 0.239954i | ||||
\(409\) | 0.205695 | + | 0.901208i | 0.0101710 | + | 0.0445619i | 0.979759 | − | 0.200182i | \(-0.0641533\pi\) |
−0.969588 | + | 0.244744i | \(0.921296\pi\) | |||||||
\(410\) | −0.631489 | −0.0311870 | ||||||||
\(411\) | −27.0056 | −1.33209 | ||||||||
\(412\) | −0.718080 | − | 3.14611i | −0.0353773 | − | 0.154998i | ||||
\(413\) | 5.93615 | + | 1.57134i | 0.292099 | + | 0.0773205i | ||||
\(414\) | −0.127441 | + | 0.558355i | −0.00626338 | + | 0.0274417i | ||||
\(415\) | 0.648751 | − | 2.84236i | 0.0318459 | − | 0.139526i | ||||
\(416\) | 1.76742 | − | 2.21628i | 0.0866551 | − | 0.108662i | ||||
\(417\) | −16.1173 | + | 20.2105i | −0.789268 | + | 0.989710i | ||||
\(418\) | 0.000734995 | − | 0.00322022i | 3.59498e−5 | − | 0.000157506i | ||||
\(419\) | −3.29624 | + | 14.4418i | −0.161032 | + | 0.705526i | 0.828353 | + | 0.560206i | \(0.189278\pi\) |
−0.989385 | + | 0.145320i | \(0.953579\pi\) | |||||||
\(420\) | −1.74740 | − | 1.49458i | −0.0852646 | − | 0.0729280i | ||||
\(421\) | −2.83714 | − | 12.4303i | −0.138274 | − | 0.605817i | −0.995814 | − | 0.0914007i | \(-0.970866\pi\) |
0.857540 | − | 0.514417i | \(-0.171992\pi\) | |||||||
\(422\) | −2.81350 | −0.136959 | ||||||||
\(423\) | 4.19017 | 0.203733 | ||||||||
\(424\) | 0.902142 | + | 3.95254i | 0.0438119 | + | 0.191952i | ||||
\(425\) | −27.6771 | − | 13.3286i | −1.34254 | − | 0.646531i | ||||
\(426\) | −0.746303 | + | 0.935835i | −0.0361585 | + | 0.0453413i | ||||
\(427\) | −1.20384 | − | 2.73660i | −0.0582580 | − | 0.132433i | ||||
\(428\) | 3.81245 | + | 4.78066i | 0.184282 | + | 0.231082i | ||||
\(429\) | 0.000751338 | 0.00329183i | 3.62749e−5 | 0.000158931i | ||||||
\(430\) | −0.130012 | − | 0.163030i | −0.00626972 | − | 0.00786198i | ||||
\(431\) | −15.4892 | − | 7.45918i | −0.746086 | − | 0.359296i | 0.0219021 | − | 0.999760i | \(-0.493028\pi\) |
−0.767988 | + | 0.640464i | \(0.778742\pi\) | |||||||
\(432\) | −10.7878 | + | 13.5275i | −0.519030 | + | 0.650843i | ||||
\(433\) | 9.27204 | − | 4.46518i | 0.445586 | − | 0.214583i | −0.197616 | − | 0.980280i | \(-0.563320\pi\) |
0.643202 | + | 0.765697i | \(0.277606\pi\) | |||||||
\(434\) | −4.77472 | − | 4.08388i | −0.229194 | − | 0.196033i | ||||
\(435\) | 0.228066 | + | 0.109831i | 0.0109349 | + | 0.00526599i | ||||
\(436\) | −15.1284 | + | 7.28543i | −0.724517 | + | 0.348909i | ||||
\(437\) | −8.75612 | + | 38.3631i | −0.418862 | + | 1.83516i | ||||
\(438\) | 2.68226 | − | 1.29171i | 0.128163 | − | 0.0617201i | ||||
\(439\) | 0.242266 | + | 0.303792i | 0.0115627 | + | 0.0144992i | 0.787579 | − | 0.616213i | \(-0.211334\pi\) |
−0.776017 | + | 0.630713i | \(0.782763\pi\) | |||||||
\(440\) | −0.000426921 | 0 | −2.03527e−5 | 0 | ||||||
\(441\) | 0.881499 | − | 2.92042i | 0.0419761 | − | 0.139068i | ||||
\(442\) | −1.52981 | −0.0727654 | ||||||||
\(443\) | 12.4234 | + | 15.5785i | 0.590254 | + | 0.740155i | 0.983824 | − | 0.179140i | \(-0.0573314\pi\) |
−0.393570 | + | 0.919295i | \(0.628760\pi\) | |||||||
\(444\) | −23.7988 | + | 11.4609i | −1.12944 | + | 0.543911i | ||||
\(445\) | −0.843954 | + | 3.69760i | −0.0400073 | + | 0.175283i | ||||
\(446\) | −4.75418 | + | 2.28949i | −0.225117 | + | 0.108411i | ||||
\(447\) | −3.46835 | − | 1.67027i | −0.164047 | − | 0.0790011i | ||||
\(448\) | 8.09179 | − | 15.4233i | 0.382301 | − | 0.728681i | ||||
\(449\) | 4.37925 | − | 2.10893i | 0.206669 | − | 0.0995267i | −0.327686 | − | 0.944787i | \(-0.606269\pi\) |
0.534355 | + | 0.845260i | \(0.320554\pi\) | |||||||
\(450\) | −0.330418 | + | 0.414331i | −0.0155760 | + | 0.0195317i | ||||
\(451\) | 0.0174206 | + | 0.00838934i | 0.000820306 | + | 0.000395038i | ||||
\(452\) | −22.5288 | − | 28.2502i | −1.05967 | − | 1.32878i | ||||
\(453\) | 1.46177 | + | 6.40444i | 0.0686801 | + | 0.300907i | ||||
\(454\) | −0.800317 | − | 1.00357i | −0.0375608 | − | 0.0470997i | ||||
\(455\) | −0.618324 | − | 0.163675i | −0.0289875 | − | 0.00767318i | ||||
\(456\) | −8.25544 | + | 10.3520i | −0.386597 | + | 0.484777i | ||||
\(457\) | 5.56640 | + | 2.68064i | 0.260385 | + | 0.125395i | 0.559523 | − | 0.828815i | \(-0.310985\pi\) |
−0.299137 | + | 0.954210i | \(0.596699\pi\) | |||||||
\(458\) | −1.34220 | − | 5.88057i | −0.0627170 | − | 0.274781i | ||||
\(459\) | 29.5470 | 1.37914 | ||||||||
\(460\) | 2.50390 | 0.116745 | ||||||||
\(461\) | 4.11810 | + | 18.0426i | 0.191799 | + | 0.840326i | 0.975642 | + | 0.219368i | \(0.0703994\pi\) |
−0.783843 | + | 0.620959i | \(0.786743\pi\) | |||||||
\(462\) | −0.000885211 | − | 0.00201228i | −4.11837e−5 | − | 9.36198e-5i | ||||
\(463\) | 2.30678 | − | 10.1067i | 0.107205 | − | 0.469696i | −0.892617 | − | 0.450817i | \(-0.851133\pi\) |
0.999822 | − | 0.0188798i | \(-0.00600999\pi\) | |||||||
\(464\) | −0.457588 | + | 2.00482i | −0.0212430 | + | 0.0930715i | ||||
\(465\) | −2.69615 | + | 3.38087i | −0.125031 | + | 0.156784i | ||||
\(466\) | −3.68582 | + | 4.62188i | −0.170743 | + | 0.214104i | ||||
\(467\) | 5.35910 | − | 23.4797i | 0.247989 | − | 1.08651i | −0.685547 | − | 0.728029i | \(-0.740437\pi\) |
0.933536 | − | 0.358484i | \(-0.116706\pi\) | |||||||
\(468\) | 0.188074 | − | 0.824006i | 0.00869372 | − | 0.0380897i | ||||
\(469\) | 13.5622 | − | 2.60867i | 0.626246 | − | 0.120457i | ||||
\(470\) | 0.127287 | + | 0.557681i | 0.00587131 | + | 0.0257239i | ||||
\(471\) | 12.8370 | 0.591498 | ||||||||
\(472\) | −2.25002 | −0.103565 | ||||||||
\(473\) | 0.00142073 | + | 0.00622463i | 6.53253e−5 | + | 0.000286209i | ||||
\(474\) | −0.275599 | − | 0.132722i | −0.0126587 | − | 0.00609610i | ||||
\(475\) | −22.7021 | + | 28.4676i | −1.04164 | + | 1.30618i | ||||
\(476\) | −31.3244 | + | 6.02520i | −1.43575 | + | 0.276165i | ||||
\(477\) | 1.13629 | + | 1.42487i | 0.0520273 | + | 0.0652402i | ||||
\(478\) | −0.673521 | − | 2.95089i | −0.0308061 | − | 0.134971i | ||||
\(479\) | 2.47002 | + | 3.09731i | 0.112858 | + | 0.141520i | 0.835052 | − | 0.550171i | \(-0.185438\pi\) |
−0.722194 | + | 0.691691i | \(0.756866\pi\) | |||||||
\(480\) | 1.14448 | + | 0.551152i | 0.0522381 | + | 0.0251565i | ||||
\(481\) | −4.58126 | + | 5.74472i | −0.208888 | + | 0.261937i | ||||
\(482\) | −4.85208 | + | 2.33664i | −0.221006 | + | 0.106431i | ||||
\(483\) | 10.5457 | + | 23.9726i | 0.479845 | + | 1.09079i | ||||
\(484\) | −19.2211 | − | 9.25641i | −0.873688 | − | 0.420746i | ||||
\(485\) | −2.72487 | + | 1.31223i | −0.123730 | + | 0.0595852i | ||||
\(486\) | 0.246126 | − | 1.07835i | 0.0111645 | − | 0.0489149i | ||||
\(487\) | 20.8449 | − | 10.0384i | 0.944573 | − | 0.454883i | 0.102793 | − | 0.994703i | \(-0.467222\pi\) |
0.841780 | + | 0.539820i | \(0.181508\pi\) | |||||||
\(488\) | 0.683014 | + | 0.856473i | 0.0309186 | + | 0.0387707i | ||||
\(489\) | 18.4766 | 0.835542 | ||||||||
\(490\) | 0.415464 | + | 0.0286058i | 0.0187688 | + | 0.00129228i | ||||
\(491\) | 23.4088 | 1.05643 | 0.528213 | − | 0.849112i | \(-0.322862\pi\) | ||||
0.528213 | + | 0.849112i | \(0.322862\pi\) | |||||||
\(492\) | −23.7916 | − | 29.8337i | −1.07261 | − | 1.34501i | ||||
\(493\) | 3.16389 | − | 1.52365i | 0.142494 | − | 0.0686217i | ||||
\(494\) | −0.403491 | + | 1.76781i | −0.0181539 | + | 0.0795375i | ||||
\(495\) | −0.000172908 | 0 | 8.32681e-5i | −7.77163e−6 | 0 | 3.74262e-6i | ||||
\(496\) | −31.6502 | − | 15.2420i | −1.42114 | − | 0.684384i | ||||
\(497\) | −0.238590 | + | 6.93866i | −0.0107022 | + | 0.311241i | ||||
\(498\) | −4.95618 | + | 2.38677i | −0.222092 | + | 0.106954i | ||||
\(499\) | 9.29278 | − | 11.6528i | 0.416002 | − | 0.521650i | −0.529041 | − | 0.848596i | \(-0.677448\pi\) |
0.945043 | + | 0.326946i | \(0.106020\pi\) | |||||||
\(500\) | 4.19966 | + | 2.02245i | 0.187814 | + | 0.0904467i | ||||
\(501\) | −16.2195 | − | 20.3386i | −0.724635 | − | 0.908664i | ||||
\(502\) | 1.15449 | + | 5.05813i | 0.0515272 | + | 0.225755i | ||||
\(503\) | −1.83518 | − | 2.30124i | −0.0818266 | − | 0.102607i | 0.739233 | − | 0.673450i | \(-0.235188\pi\) |
−0.821060 | + | 0.570842i | \(0.806617\pi\) | |||||||
\(504\) | −0.0384127 | + | 1.11711i | −0.00171104 | + | 0.0497602i | ||||
\(505\) | 1.47062 | − | 1.84410i | 0.0654417 | − | 0.0820613i | ||||
\(506\) | 0.00215684 | + | 0.00103868i | 9.58831e−5 | + | 4.61749e-5i | ||||
\(507\) | −0.412462 | − | 1.80712i | −0.0183181 | − | 0.0802568i | ||||
\(508\) | −36.4510 | −1.61725 | ||||||||
\(509\) | 35.9029 | 1.59137 | 0.795684 | − | 0.605712i | \(-0.207112\pi\) | ||||
0.795684 | + | 0.605712i | \(0.207112\pi\) | |||||||
\(510\) | −0.152544 | − | 0.668337i | −0.00675474 | − | 0.0295945i | ||||
\(511\) | 8.02243 | − | 15.2911i | 0.354891 | − | 0.676437i | ||||
\(512\) | −3.86685 | + | 16.9418i | −0.170892 | + | 0.748728i | ||||
\(513\) | 7.79311 | − | 34.1439i | 0.344074 | − | 1.50749i | ||||
\(514\) | 4.37924 | − | 5.49139i | 0.193160 | − | 0.242215i | ||||
\(515\) | 0.250800 | − | 0.314494i | 0.0110516 | − | 0.0138582i | ||||
\(516\) | 2.80383 | − | 12.2844i | 0.123432 | − | 0.540789i | ||||
\(517\) | 0.00389738 | − | 0.0170755i | 0.000171406 | − | 0.000750981i | ||||
\(518\) | 2.22261 | − | 4.23639i | 0.0976560 | − | 0.186136i | ||||
\(519\) | −7.68302 | − | 33.6615i | −0.337247 | − | 1.47758i | ||||
\(520\) | 0.234367 | 0.0102777 | ||||||||
\(521\) | 14.3227 | 0.627489 | 0.313745 | − | 0.949507i | \(-0.398416\pi\) | ||||
0.313745 | + | 0.949507i | \(0.398416\pi\) | |||||||
\(522\) | −0.0134805 | − | 0.0590619i | −0.000590025 | − | 0.00258507i | ||||
\(523\) | 16.8137 | + | 8.09707i | 0.735214 | + | 0.354060i | 0.763732 | − | 0.645533i | \(-0.223365\pi\) |
−0.0285187 | + | 0.999593i | \(0.509079\pi\) | |||||||
\(524\) | 15.4935 | − | 19.4282i | 0.676836 | − | 0.848726i | ||||
\(525\) | −0.832812 | + | 24.2197i | −0.0363469 | + | 1.05704i | ||||
\(526\) | 1.14185 | + | 1.43184i | 0.0497871 | + | 0.0624310i | ||||
\(527\) | 13.3489 | + | 58.4854i | 0.581488 | + | 2.54767i | ||||
\(528\) | −0.00766359 | − | 0.00960984i | −0.000333515 | − | 0.000418215i | ||||
\(529\) | −4.97249 | − | 2.39462i | −0.216195 | − | 0.104114i | ||||
\(530\) | −0.155122 | + | 0.194516i | −0.00673805 | + | 0.00844925i | ||||
\(531\) | −0.911282 | + | 0.438850i | −0.0395463 | + | 0.0190445i | ||||
\(532\) | −1.29933 | + | 37.7870i | −0.0563332 | + | 1.63827i | ||||
\(533\) | −9.56342 | − | 4.60550i | −0.414238 | − | 0.199486i | ||||
\(534\) | 6.44744 | − | 3.10492i | 0.279008 | − | 0.134363i | ||||
\(535\) | −0.169606 | + | 0.743094i | −0.00733272 | + | 0.0321268i | ||||
\(536\) | −4.55937 | + | 2.19568i | −0.196935 | + | 0.0948388i | ||||
\(537\) | −16.9366 | − | 21.2378i | −0.730868 | − | 0.916479i | ||||
\(538\) | 2.94200 | 0.126838 | ||||||||
\(539\) | −0.0110812 | − | 0.00630858i | −0.000477301 | − | 0.000271730i | ||||
\(540\) | −2.22852 | −0.0959002 | ||||||||
\(541\) | 4.25129 | + | 5.33095i | 0.182777 | + | 0.229196i | 0.864776 | − | 0.502158i | \(-0.167460\pi\) |
−0.681999 | + | 0.731354i | \(0.738889\pi\) | |||||||
\(542\) | −0.903034 | + | 0.434878i | −0.0387886 | + | 0.0186796i | ||||
\(543\) | −4.85748 | + | 21.2820i | −0.208454 | + | 0.913298i | ||||
\(544\) | 15.8770 | − | 7.64595i | 0.680720 | − | 0.327818i | ||||
\(545\) | −1.88577 | − | 0.908139i | −0.0807775 | − | 0.0389004i | ||||
\(546\) | 0.485955 | + | 1.10468i | 0.0207970 | + | 0.0472761i | ||||
\(547\) | −28.4187 | + | 13.6857i | −1.21509 | + | 0.585159i | −0.927941 | − | 0.372726i | \(-0.878423\pi\) |
−0.287153 | + | 0.957885i | \(0.592709\pi\) | |||||||
\(548\) | 17.6176 | − | 22.0917i | 0.752585 | − | 0.943712i | ||||
\(549\) | 0.443677 | + | 0.213664i | 0.0189357 | + | 0.00911895i | ||||
\(550\) | 0.00138113 | + | 0.00173188i | 5.88914e−5 | + | 7.38474e-5i | ||||
\(551\) | −0.926209 | − | 4.05799i | −0.0394578 | − | 0.172876i | ||||
\(552\) | −5.98321 | − | 7.50271i | −0.254662 | − | 0.319337i | ||||
\(553\) | −1.74231 | + | 0.335130i | −0.0740905 | + | 0.0142512i | ||||
\(554\) | −1.80481 | + | 2.26316i | −0.0766791 | + | 0.0961525i | ||||
\(555\) | −2.96656 | − | 1.42862i | −0.125923 | − | 0.0606415i | ||||
\(556\) | −6.01862 | − | 26.3693i | −0.255246 | − | 1.11831i | ||||
\(557\) | −21.1284 | −0.895237 | −0.447619 | − | 0.894225i | \(-0.647728\pi\) | ||||
−0.447619 | + | 0.894225i | \(0.647728\pi\) | |||||||
\(558\) | 1.03490 | 0.0438109 | ||||||||
\(559\) | −0.779940 | − | 3.41714i | −0.0329880 | − | 0.144530i | ||||
\(560\) | 2.28650 | − | 0.439805i | 0.0966225 | − | 0.0185852i | ||||
\(561\) | −0.00467070 | + | 0.0204637i | −0.000197197 | + | 0.000863977i | ||||
\(562\) | 0.492802 | − | 2.15911i | 0.0207876 | − | 0.0910765i | ||||
\(563\) | 25.8484 | − | 32.4128i | 1.08938 | − | 1.36604i | 0.164234 | − | 0.986421i | \(-0.447485\pi\) |
0.925144 | − | 0.379616i | \(-0.123944\pi\) | |||||||
\(564\) | −21.5511 | + | 27.0243i | −0.907467 | + | 1.13793i | ||||
\(565\) | 1.00225 | − | 4.39114i | 0.0421650 | − | 0.184737i | ||||
\(566\) | −0.731620 | + | 3.20543i | −0.0307523 | + | 0.134734i | ||||
\(567\) | −10.7787 | − | 24.5023i | −0.452661 | − | 1.02900i | ||||
\(568\) | −0.566080 | − | 2.48016i | −0.0237522 | − | 0.104065i | ||||
\(569\) | 11.4186 | 0.478691 | 0.239345 | − | 0.970934i | \(-0.423067\pi\) | ||||
0.239345 | + | 0.970934i | \(0.423067\pi\) | |||||||
\(570\) | −0.812549 | −0.0340339 | ||||||||
\(571\) | 0.253718 | + | 1.11161i | 0.0106178 | + | 0.0465195i | 0.979959 | − | 0.199198i | \(-0.0638336\pi\) |
−0.969342 | + | 0.245717i | \(0.920976\pi\) | |||||||
\(572\) | −0.00318300 | − | 0.00153285i | −0.000133088 | − | 6.40918e-5i | ||||
\(573\) | 5.63049 | − | 7.06041i | 0.235217 | − | 0.294953i | ||||
\(574\) | 6.68091 | + | 1.76848i | 0.278856 | + | 0.0738150i | ||||
\(575\) | −16.4536 | − | 20.6321i | −0.686162 | − | 0.860420i | ||||
\(576\) | 0.638378 | + | 2.79692i | 0.0265991 | + | 0.116538i | ||||
\(577\) | −20.2795 | − | 25.4297i | −0.844247 | − | 1.05865i | −0.997514 | − | 0.0704671i | \(-0.977551\pi\) |
0.153267 | − | 0.988185i | \(-0.451020\pi\) | |||||||
\(578\) | −4.79907 | − | 2.31111i | −0.199615 | − | 0.0961295i | ||||
\(579\) | −20.7214 | + | 25.9839i | −0.861154 | + | 1.07985i | ||||
\(580\) | −0.238630 | + | 0.114918i | −0.00990855 | + | 0.00477171i | ||||
\(581\) | −14.8236 | + | 28.2543i | −0.614985 | + | 1.17219i | ||||
\(582\) | 5.14132 | + | 2.47593i | 0.213115 | + | 0.102631i | ||||
\(583\) | 0.00686342 | − | 0.00330525i | 0.000284254 | − | 0.000136889i | ||||
\(584\) | −1.40793 | + | 6.16856i | −0.0582607 | + | 0.255257i | ||||
\(585\) | 0.0949214 | − | 0.0457117i | 0.00392452 | − | 0.00188995i | ||||
\(586\) | 4.85301 | + | 6.08549i | 0.200476 | + | 0.251389i | ||||
\(587\) | −17.2126 | −0.710440 | −0.355220 | − | 0.934783i | \(-0.615594\pi\) | ||||
−0.355220 | + | 0.934783i | \(0.615594\pi\) | |||||||
\(588\) | 14.3013 | + | 20.7057i | 0.589776 | + | 0.853887i | ||||
\(589\) | 71.1053 | 2.92984 | ||||||||
\(590\) | −0.0860902 | − | 0.107954i | −0.00354428 | − | 0.00444438i | ||||
\(591\) | 35.4057 | − | 17.0505i | 1.45640 | − | 0.701363i | ||||
\(592\) | 5.95204 | − | 26.0776i | 0.244627 | − | 1.07178i | ||||
\(593\) | 10.5133 | − | 5.06294i | 0.431730 | − | 0.207910i | −0.205381 | − | 0.978682i | \(-0.565843\pi\) |
0.637111 | + | 0.770772i | \(0.280129\pi\) | |||||||
\(594\) | −0.00191962 | 0.000924443i | −7.87632e−5 | 3.79303e-5i | ||||||
\(595\) | −3.02169 | − | 2.58449i | −0.123877 | − | 0.105954i | ||||
\(596\) | 3.62899 | − | 1.74763i | 0.148649 | − | 0.0715858i | ||||
\(597\) | 26.4787 | − | 33.2033i | 1.08370 | − | 1.35892i | ||||
\(598\) | −1.18404 | − | 0.570204i | −0.0484190 | − | 0.0233174i | ||||
\(599\) | −25.8617 | − | 32.4296i | −1.05668 | − | 1.32504i | −0.943468 | − | 0.331465i | \(-0.892457\pi\) |
−0.113213 | − | 0.993571i | \(-0.536114\pi\) | |||||||
\(600\) | −1.97593 | − | 8.65712i | −0.0806671 | − | 0.353426i | ||||
\(601\) | 2.99165 | + | 3.75141i | 0.122032 | + | 0.153023i | 0.839095 | − | 0.543985i | \(-0.183085\pi\) |
−0.717063 | + | 0.697009i | \(0.754514\pi\) | |||||||
\(602\) | 0.918910 | + | 2.08889i | 0.0374520 | + | 0.0851366i | ||||
\(603\) | −1.41834 | + | 1.77855i | −0.0577595 | + | 0.0724281i | ||||
\(604\) | −6.19272 | − | 2.98226i | −0.251978 | − | 0.121346i | ||||
\(605\) | −0.591748 | − | 2.59262i | −0.0240580 | − | 0.105405i | ||||
\(606\) | −4.45041 | −0.180786 | ||||||||
\(607\) | 12.1058 | 0.491359 | 0.245679 | − | 0.969351i | \(-0.420989\pi\) | ||||
0.245679 | + | 0.969351i | \(0.420989\pi\) | |||||||
\(608\) | −4.64789 | − | 20.3637i | −0.188497 | − | 0.825859i | ||||
\(609\) | −2.10527 | − | 1.80067i | −0.0853099 | − | 0.0729667i | ||||
\(610\) | −0.0149593 | + | 0.0655408i | −0.000605682 | + | 0.00265367i | ||||
\(611\) | −2.13955 | + | 9.37396i | −0.0865568 | + | 0.379230i | ||||
\(612\) | 3.27592 | − | 4.10788i | 0.132421 | − | 0.166051i | ||||
\(613\) | 18.9234 | − | 23.7292i | 0.764308 | − | 0.958412i | −0.235602 | − | 0.971850i | \(-0.575706\pi\) |
0.999910 | + | 0.0134377i | \(0.00427747\pi\) | |||||||
\(614\) | 0.792004 | − | 3.47000i | 0.0319627 | − | 0.140038i | ||||
\(615\) | 1.05843 | − | 4.63727i | 0.0426799 | − | 0.186993i | ||||
\(616\) | 0.00451666 | + | 0.00119559i | 0.000181982 | + | 4.81717e-5i | ||||
\(617\) | 3.86493 | + | 16.9334i | 0.155596 | + | 0.681711i | 0.991199 | + | 0.132378i | \(0.0422612\pi\) |
−0.835603 | + | 0.549333i | \(0.814882\pi\) | |||||||
\(618\) | −0.758977 | −0.0305305 | ||||||||
\(619\) | 5.77000 | 0.231916 | 0.115958 | − | 0.993254i | \(-0.463006\pi\) | ||||
0.115958 | + | 0.993254i | \(0.463006\pi\) | |||||||
\(620\) | −1.00681 | − | 4.41114i | −0.0404346 | − | 0.177156i | ||||
\(621\) | 22.8688 | + | 11.0130i | 0.917694 | + | 0.441938i | ||||
\(622\) | 3.58207 | − | 4.49177i | 0.143628 | − | 0.180104i | ||||
\(623\) | 19.2838 | − | 36.7557i | 0.772590 | − | 1.47259i | ||||
\(624\) | 4.20709 | + | 5.27552i | 0.168418 | + | 0.211190i | ||||
\(625\) | −5.36871 | − | 23.5218i | −0.214748 | − | 0.940873i | ||||
\(626\) | 4.01402 | + | 5.03342i | 0.160432 | + | 0.201176i | ||||
\(627\) | 0.0224155 | + | 0.0107947i | 0.000895187 | + | 0.000431099i | ||||
\(628\) | −8.37444 | + | 10.5012i | −0.334177 | + | 0.419044i | ||||
\(629\) | −41.1540 | + | 19.8187i | −1.64092 | + | 0.790225i | ||||
\(630\) | −0.0550678 | + | 0.0409000i | −0.00219396 | + | 0.00162950i | ||||
\(631\) | −0.896837 | − | 0.431894i | −0.0357025 | − | 0.0171934i | 0.415947 | − | 0.909389i | \(-0.363450\pi\) |
−0.451650 | + | 0.892195i | \(0.649164\pi\) | |||||||
\(632\) | 0.585732 | − | 0.282074i | 0.0232992 | − | 0.0112203i | ||||
\(633\) | 4.71566 | − | 20.6606i | 0.187430 | − | 0.821187i | ||||
\(634\) | −4.41671 | + | 2.12697i | −0.175410 | + | 0.0844730i | ||||
\(635\) | −2.83293 | − | 3.55238i | −0.112421 | − | 0.140972i | ||||
\(636\) | −15.0339 | −0.596131 | ||||||||
\(637\) | 6.08326 | + | 3.46323i | 0.241028 | + | 0.137218i | ||||
\(638\) | −0.000253224 | 0 | −1.00252e−5 | 0 | ||||||
\(639\) | −0.713007 | − | 0.894082i | −0.0282061 | − | 0.0353693i | ||||
\(640\) | −1.58774 | + | 0.764613i | −0.0627608 | + | 0.0302240i | ||||
\(641\) | −4.76128 | + | 20.8605i | −0.188059 | + | 0.823942i | 0.789579 | + | 0.613649i | \(0.210299\pi\) |
−0.977638 | + | 0.210293i | \(0.932558\pi\) | |||||||
\(642\) | 1.29572 | − | 0.623985i | 0.0511380 | − | 0.0246267i | ||||
\(643\) | −3.25140 | − | 1.56579i | −0.128223 | − | 0.0617488i | 0.368672 | − | 0.929559i | \(-0.379812\pi\) |
−0.496895 | + | 0.867811i | \(0.665527\pi\) | |||||||
\(644\) | −26.4903 | − | 7.01216i | −1.04386 | − | 0.276318i | ||||
\(645\) | 1.41510 | − | 0.681476i | 0.0557195 | − | 0.0268331i | ||||
\(646\) | −7.02812 | + | 8.81298i | −0.276518 | + | 0.346742i | ||||
\(647\) | −41.4926 | − | 19.9818i | −1.63124 | − | 0.785565i | −0.999950 | − | 0.0100211i | \(-0.996810\pi\) |
−0.631293 | − | 0.775544i | \(-0.717476\pi\) | |||||||
\(648\) | 6.11540 | + | 7.66847i | 0.240236 | + | 0.301246i | ||||
\(649\) | 0.000940770 | 0.00412178i | 3.69284e−5 | 0.000161794i | ||||||
\(650\) | −0.758198 | − | 0.950750i | −0.0297390 | − | 0.0372915i | ||||
\(651\) | 37.9924 | − | 28.2177i | 1.48904 | − | 1.10594i | ||||
\(652\) | −12.0536 | + | 15.1147i | −0.472054 | + | 0.591937i | ||||
\(653\) | −27.1411 | − | 13.0705i | −1.06211 | − | 0.511487i | −0.180556 | − | 0.983565i | \(-0.557790\pi\) |
−0.881557 | + | 0.472078i | \(0.843504\pi\) | |||||||
\(654\) | 0.878778 | + | 3.85018i | 0.0343629 | + | 0.150554i | ||||
\(655\) | 3.09754 | 0.121031 | ||||||||
\(656\) | 38.6405 | 1.50866 | ||||||||
\(657\) | 0.632906 | + | 2.77294i | 0.0246920 | + | 0.108183i | ||||
\(658\) | 0.215134 | − | 6.25652i | 0.00838681 | − | 0.243904i | ||||
\(659\) | 7.45621 | − | 32.6678i | 0.290453 | − | 1.27256i | −0.593444 | − | 0.804875i | \(-0.702232\pi\) |
0.883897 | − | 0.467682i | \(-0.154911\pi\) | |||||||
\(660\) | 0.000352278 | − | 0.00154343i | 1.37124e−5 | − | 6.00779e-5i | ||||
\(661\) | −20.9337 | + | 26.2500i | −0.814227 | + | 1.02101i | 0.185041 | + | 0.982731i | \(0.440758\pi\) |
−0.999267 | + | 0.0382769i | \(0.987813\pi\) | |||||||
\(662\) | 4.99392 | − | 6.26218i | 0.194094 | − | 0.243387i | ||||
\(663\) | 2.56408 | − | 11.2340i | 0.0995805 | − | 0.436291i | ||||
\(664\) | 2.60153 | − | 11.3980i | 0.100959 | − | 0.442330i | ||||
\(665\) | −3.78356 | + | 2.81013i | −0.146720 | + | 0.108972i | ||||
\(666\) | 0.175347 | + | 0.768244i | 0.00679454 | + | 0.0297688i | ||||
\(667\) | 3.01670 | 0.116807 | ||||||||
\(668\) | 27.2190 | 1.05313 | ||||||||
\(669\) | −8.84424 | − | 38.7492i | −0.341938 | − | 1.49813i | ||||
\(670\) | −0.279797 | − | 0.134743i | −0.0108095 | − | 0.00520559i | ||||
\(671\) | 0.00128338 | − | 0.00160931i | 4.95445e−5 | − | 6.21268e-5i | ||||
\(672\) | −10.5647 | − | 9.03609i | −0.407540 | − | 0.348575i | ||||
\(673\) | −26.5867 | − | 33.3386i | −1.02484 | − | 1.28511i | −0.957823 | − | 0.287358i | \(-0.907223\pi\) |
−0.0670176 | − | 0.997752i | \(-0.521348\pi\) | |||||||
\(674\) | −0.593945 | − | 2.60224i | −0.0228779 | − | 0.100235i | ||||
\(675\) | 14.6440 | + | 18.3630i | 0.563648 | + | 0.706792i | ||||
\(676\) | 1.74738 | + | 0.841492i | 0.0672068 | + | 0.0323651i | ||||
\(677\) | −15.9078 | + | 19.9478i | −0.611387 | + | 0.766656i | −0.987104 | − | 0.160079i | \(-0.948825\pi\) |
0.375717 | + | 0.926735i | \(0.377397\pi\) | |||||||
\(678\) | −7.65675 | + | 3.68730i | −0.294056 | + | 0.141610i | ||||
\(679\) | 32.5029 | − | 6.25188i | 1.24735 | − | 0.239925i | ||||
\(680\) | 1.31266 | + | 0.632146i | 0.0503384 | + | 0.0242417i | ||||
\(681\) | 8.71098 | − | 4.19499i | 0.333805 | − | 0.160752i | ||||
\(682\) | 0.000962586 | − | 0.00421736i | 3.68593e−5 | − | 0.000161491i | ||||
\(683\) | 22.3121 | − | 10.7450i | 0.853750 | − | 0.411144i | 0.0447816 | − | 0.998997i | \(-0.485741\pi\) |
0.808968 | + | 0.587853i | \(0.200027\pi\) | |||||||
\(684\) | −3.88294 | − | 4.86905i | −0.148468 | − | 0.186173i | ||||
\(685\) | 3.52219 | 0.134576 | ||||||||
\(686\) | −4.31534 | − | 1.46614i | −0.164760 | − | 0.0559776i | ||||
\(687\) | 45.4330 | 1.73338 | ||||||||
\(688\) | 7.95534 | + | 9.97568i | 0.303294 | + | 0.380319i | ||||
\(689\) | −3.76782 | + | 1.81449i | −0.143542 | + | 0.0691264i | ||||
\(690\) | 0.131043 | − | 0.574138i | 0.00498873 | − | 0.0218571i | ||||
\(691\) | −1.47635 | + | 0.710971i | −0.0561629 | + | 0.0270466i | −0.461754 | − | 0.887008i | \(-0.652780\pi\) |
0.405591 | + | 0.914054i | \(0.367066\pi\) | |||||||
\(692\) | 32.5487 | + | 15.6746i | 1.23732 | + | 0.595860i | ||||
\(693\) | 0.00206249 | 0.000396716i | 7.83475e−5 | 1.50700e-5i | ||||||
\(694\) | −1.99585 | + | 0.961151i | −0.0757614 | + | 0.0364848i | ||||
\(695\) | 2.10209 | − | 2.63594i | 0.0797370 | − | 0.0999870i | ||||
\(696\) | 0.914559 | + | 0.440429i | 0.0346663 | + | 0.0166944i | ||||
\(697\) | −41.1414 | − | 51.5897i | −1.55834 | − | 1.95410i | ||||
\(698\) | 0.0671099 | + | 0.294028i | 0.00254015 | + | 0.0111291i | ||||
\(699\) | −27.7625 | − | 34.8131i | −1.05007 | − | 1.31675i | ||||
\(700\) | −19.2695 | − | 16.4815i | −0.728319 | − | 0.622940i | ||||
\(701\) | 10.5481 | − | 13.2268i | 0.398395 | − | 0.499571i | −0.541659 | − | 0.840599i | \(-0.682203\pi\) |
0.940053 | + | 0.341027i | \(0.110775\pi\) | |||||||
\(702\) | 1.05382 | + | 0.507492i | 0.0397738 | + | 0.0191541i | ||||
\(703\) | 12.0476 | + | 52.7840i | 0.454384 | + | 1.99079i | ||||
\(704\) | 0.0119916 | 0.000451950 | ||||||||
\(705\) | −4.30861 | −0.162272 | ||||||||
\(706\) | 0.527054 | + | 2.30917i | 0.0198359 | + | 0.0869069i | ||||
\(707\) | −20.7230 | + | 15.3914i | −0.779367 | + | 0.578852i | ||||
\(708\) | 1.85662 | − | 8.13438i | 0.0697760 | − | 0.305709i | ||||
\(709\) | −5.19654 | + | 22.7675i | −0.195160 | + | 0.855052i | 0.778608 | + | 0.627510i | \(0.215926\pi\) |
−0.973768 | + | 0.227542i | \(0.926931\pi\) | |||||||
\(710\) | 0.0973364 | − | 0.122056i | 0.00365297 | − | 0.00458068i | ||||
\(711\) | 0.182211 | − | 0.228486i | 0.00683346 | − | 0.00856889i | ||||
\(712\) | −3.38431 | + | 14.8276i | −0.126832 | + | 0.555688i | ||||
\(713\) | −11.4675 | + | 50.2422i | −0.429459 | + | 1.88158i | ||||
\(714\) | −0.257822 | + | 7.49794i | −0.00964873 | + | 0.280603i | ||||
\(715\) | −9.79929e−5 | 0 | 0.000429335i | −3.66473e−6 | 0 | 1.60562e-5i | ||||
\(716\) | 28.4223 | 1.06219 | ||||||||
\(717\) | 22.7984 | 0.851422 | ||||||||
\(718\) | −1.09895 | − | 4.81483i | −0.0410126 | − | 0.179688i | ||||
\(719\) | −22.0161 | − | 10.6024i | −0.821061 | − | 0.395402i | −0.0243057 | − | 0.999705i | \(-0.507738\pi\) |
−0.796755 | + | 0.604303i | \(0.793452\pi\) | |||||||
\(720\) | −0.239124 | + | 0.299852i | −0.00891161 | + | 0.0111748i | ||||
\(721\) | −3.53411 | + | 2.62486i | −0.131617 | + | 0.0977548i | ||||
\(722\) | 5.41517 | + | 6.79041i | 0.201532 | + | 0.252713i | ||||
\(723\) | −9.02637 | − | 39.5471i | −0.335694 | − | 1.47077i | ||||
\(724\) | −14.2407 | − | 17.8573i | −0.529253 | − | 0.663662i | ||||
\(725\) | 2.51500 | + | 1.21116i | 0.0934048 | + | 0.0449814i | ||||
\(726\) | −3.12842 | + | 3.92291i | −0.116106 | + | 0.145593i | ||||
\(727\) | −3.46947 | + | 1.67081i | −0.128676 | + | 0.0619669i | −0.497114 | − | 0.867685i | \(-0.665607\pi\) |
0.368438 | + | 0.929652i | \(0.379893\pi\) | |||||||
\(728\) | −2.47952 | − | 0.656344i | −0.0918970 | − | 0.0243257i | ||||
\(729\) | −19.8403 | − | 9.55461i | −0.734828 | − | 0.353874i | ||||
\(730\) | −0.349832 | + | 0.168470i | −0.0129479 | + | 0.00623537i | ||||
\(731\) | 4.84851 | − | 21.2427i | 0.179329 | − | 0.785690i | ||||
\(732\) | −3.65996 | + | 1.76254i | −0.135276 | + | 0.0651455i | ||||
\(733\) | 0.234755 | + | 0.294374i | 0.00867089 | + | 0.0108729i | 0.786148 | − | 0.618038i | \(-0.212072\pi\) |
−0.777477 | + | 0.628911i | \(0.783501\pi\) | |||||||
\(734\) | 8.11919 | 0.299685 | ||||||||
\(735\) | −0.906416 | + | 3.00297i | −0.0334336 | + | 0.110766i | ||||
\(736\) | 15.1384 | 0.558008 | ||||||||
\(737\) | 0.00592859 | + | 0.00743422i | 0.000218382 | + | 0.000273843i | ||||
\(738\) | −1.02561 | + | 0.493909i | −0.0377534 | + | 0.0181811i | ||||
\(739\) | 2.64571 | − | 11.5916i | 0.0973242 | − | 0.426405i | −0.902668 | − | 0.430337i | \(-0.858395\pi\) |
0.999992 | + | 0.00393240i | \(0.00125172\pi\) | |||||||
\(740\) | 3.10396 | − | 1.49479i | 0.114104 | − | 0.0549495i | ||||
\(741\) | −12.3054 | − | 5.92598i | −0.452051 | − | 0.217696i | ||||
\(742\) | 2.18587 | − | 1.62349i | 0.0802457 | − | 0.0596002i | ||||
\(743\) | 13.7451 | − | 6.61927i | 0.504257 | − | 0.242837i | −0.164420 | − | 0.986390i | \(-0.552575\pi\) |
0.668677 | + | 0.743553i | \(0.266861\pi\) | |||||||
\(744\) | −10.8117 | + | 13.5575i | −0.396377 | + | 0.497042i | ||||
\(745\) | 0.452359 | + | 0.217844i | 0.0165731 | + | 0.00798120i | ||||
\(746\) | 1.74653 | + | 2.19008i | 0.0639452 | + | 0.0801847i | ||||
\(747\) | −1.16946 | − | 5.12375i | −0.0427884 | − | 0.187468i | ||||
\(748\) | −0.0136931 | − | 0.0171707i | −0.000500671 | − | 0.000627822i | ||||
\(749\) | 3.87540 | − | 7.38667i | 0.141604 | − | 0.269903i | ||||
\(750\) | 0.683534 | − | 0.857124i | 0.0249591 | − | 0.0312977i | ||||
\(751\) | 12.8756 | + | 6.20056i | 0.469837 | + | 0.226262i | 0.653794 | − | 0.756673i | \(-0.273176\pi\) |
−0.183957 | + | 0.982934i | \(0.558891\pi\) | |||||||
\(752\) | −7.78862 | − | 34.1242i | −0.284022 | − | 1.24438i | ||||
\(753\) | −39.0789 | −1.42411 | ||||||||
\(754\) | 0.139013 | 0.00506254 | ||||||||
\(755\) | −0.190651 | − | 0.835297i | −0.00693851 | − | 0.0303996i | ||||
\(756\) | 23.5769 | + | 6.24095i | 0.857482 | + | 0.226981i | ||||
\(757\) | −1.71114 | + | 7.49698i | −0.0621923 | + | 0.272482i | −0.996458 | − | 0.0840963i | \(-0.973200\pi\) |
0.934265 | + | 0.356579i | \(0.116057\pi\) | |||||||
\(758\) | −0.480529 | + | 2.10533i | −0.0174536 | + | 0.0764692i | ||||
\(759\) | −0.0112425 | + | 0.0140976i | −0.000408075 | + | 0.000511710i | ||||
\(760\) | 1.07671 | − | 1.35016i | 0.0390565 | − | 0.0489753i | ||||
\(761\) | −6.73799 | + | 29.5211i | −0.244252 | + | 1.07014i | 0.692850 | + | 0.721082i | \(0.256355\pi\) |
−0.937102 | + | 0.349056i | \(0.886502\pi\) | |||||||
\(762\) | −1.90768 | + | 8.35811i | −0.0691081 | + | 0.302782i | ||||
\(763\) | 17.4075 | + | 14.8888i | 0.630193 | + | 0.539012i | ||||
\(764\) | 2.10257 | + | 9.21196i | 0.0760683 | + | 0.333277i | ||||
\(765\) | 0.654939 | 0.0236794 | ||||||||
\(766\) | −0.844473 | −0.0305120 | ||||||||
\(767\) | −0.516455 | − | 2.26274i | −0.0186481 | − | 0.0817027i | ||||
\(768\) | −18.9919 | − | 9.14603i | −0.685312 | − | 0.330029i | ||||
\(769\) | −6.10660 | + | 7.65743i | −0.220210 | + | 0.276134i | −0.879649 | − | 0.475624i | \(-0.842222\pi\) |
0.659439 | + | 0.751758i | \(0.270794\pi\) | |||||||
\(770\) | 0.000115453 | 0 | 0.000262451i | 4.16065e−6 | 0 | 9.45808e-6i | ||||
\(771\) | 32.9855 | + | 41.3625i | 1.18794 | + | 1.48963i | ||||
\(772\) | −7.73792 | − | 33.9021i | −0.278494 | − | 1.22016i | ||||
\(773\) | 19.6307 | + | 24.6161i | 0.706068 | + | 0.885381i | 0.997460 | − | 0.0712227i | \(-0.0226901\pi\) |
−0.291393 | + | 0.956603i | \(0.594119\pi\) | |||||||
\(774\) | −0.338665 | − | 0.163093i | −0.0121731 | − | 0.00586224i | ||||
\(775\) | −29.7318 | + | 37.2825i | −1.06800 | + | 1.33923i | ||||
\(776\) | −10.9269 | + | 5.26211i | −0.392252 | + | 0.188899i | ||||
\(777\) | 27.3842 | + | 23.4221i | 0.982402 | + | 0.840261i | ||||
\(778\) | 3.91176 | + | 1.88381i | 0.140243 | + | 0.0675377i | ||||
\(779\) | −70.4672 | + | 33.9352i | −2.52475 | + | 1.21585i | ||||
\(780\) | −0.193390 | + | 0.847297i | −0.00692448 | + | 0.0303381i | ||||
\(781\) | −0.00430669 | + | 0.00207399i | −0.000154105 | + | 7.42133e-5i | ||||
\(782\) | −5.09369 | − | 6.38729i | −0.182150 | − | 0.228409i | ||||
\(783\) | −2.68492 | −0.0959512 | ||||||||
\(784\) | −25.4220 | − | 1.75037i | −0.907929 | − | 0.0625134i | ||||
\(785\) | −1.67426 | −0.0597569 | ||||||||
\(786\) | −3.64398 | − | 4.56940i | −0.129976 | − | 0.162985i | ||||
\(787\) | 18.6682 | − | 8.99012i | 0.665449 | − | 0.320463i | −0.0704887 | − | 0.997513i | \(-0.522456\pi\) |
0.735938 | + | 0.677049i | \(0.236742\pi\) | |||||||
\(788\) | −9.14950 | + | 40.0866i | −0.325937 | + | 1.42803i | ||||
\(789\) | −12.4284 | + | 5.98518i | −0.442461 | + | 0.213078i | ||||
\(790\) | 0.0359449 | + | 0.0173102i | 0.00127886 | + | 0.000615868i | ||||
\(791\) | −22.9008 | + | 43.6498i | −0.814258 | + | 1.55201i | ||||
\(792\) | −0.000693371 | 0 | 0.000333910i | −2.46379e−5 | 0 | 1.18650e-5i | ||||
\(793\) | −0.704540 | + | 0.883465i | −0.0250190 | + | 0.0313728i | ||||
\(794\) | −1.71682 | − | 0.826779i | −0.0609278 | − | 0.0293413i | ||||
\(795\) | −1.16841 | − | 1.46514i | −0.0414393 | − | 0.0519633i | ||||
\(796\) | 9.88785 | + | 43.3215i | 0.350465 | + | 1.53549i | ||||
\(797\) | 22.0888 | + | 27.6985i | 0.782425 | + | 0.981130i | 0.999987 | + | 0.00508338i | \(0.00161810\pi\) |
−0.217562 | + | 0.976046i | \(0.569810\pi\) | |||||||
\(798\) | 8.59646 | + | 2.27554i | 0.304311 | + | 0.0805532i | ||||
\(799\) | −37.2672 | + | 46.7316i | −1.31842 | + | 1.65325i | ||||
\(800\) | 12.6207 | + | 6.07783i | 0.446211 | + | 0.214884i | ||||
\(801\) | 1.52134 | + | 6.66543i | 0.0537540 | + | 0.235511i | ||||
\(802\) | 1.23900 | 0.0437508 | ||||||||
\(803\) | 0.0118888 | 0.000419547 | ||||||||
\(804\) | −4.17573 | − | 18.2951i | −0.147267 | − | 0.645217i | ||||
\(805\) | −1.37542 | − | 3.12662i | −0.0484770 | − | 0.110199i | ||||
\(806\) | −0.528432 | + | 2.31521i | −0.0186132 | + | 0.0815498i | ||||
\(807\) | −4.93103 | + | 21.6042i | −0.173580 | + | 0.760505i | ||||
\(808\) | 5.89727 | − | 7.39494i | 0.207465 | − | 0.260153i | ||||
\(809\) | 20.0303 | − | 25.1173i | 0.704230 | − | 0.883076i | −0.293102 | − | 0.956081i | \(-0.594688\pi\) |
0.997332 | + | 0.0730052i | \(0.0232590\pi\) | |||||||
\(810\) | −0.133938 | + | 0.586823i | −0.00470612 | + | 0.0206188i | ||||
\(811\) | 3.44670 | − | 15.1010i | 0.121030 | − | 0.530268i | −0.877669 | − | 0.479268i | \(-0.840902\pi\) |
0.998699 | − | 0.0509996i | \(-0.0162407\pi\) | |||||||
\(812\) | 2.84643 | − | 0.547507i | 0.0998903 | − | 0.0192137i | ||||
\(813\) | −1.67992 | − | 7.36022i | −0.0589175 | − | 0.258134i | ||||
\(814\) | 0.00329379 | 0.000115447 | ||||||||
\(815\) | −2.40981 | −0.0844119 | ||||||||
\(816\) | 9.33405 | + | 40.8951i | 0.326757 | + | 1.43162i | ||||
\(817\) | −23.2688 | − | 11.2057i | −0.814072 | − | 0.392036i | ||||
\(818\) | −0.141831 | + | 0.177851i | −0.00495901 | + | 0.00621840i | ||||
\(819\) | −1.13225 | + | 0.217786i | −0.0395639 | + | 0.00761005i | ||||
\(820\) | 3.10301 | + | 3.89105i | 0.108362 | + | 0.135881i | ||||
\(821\) | 2.35094 | + | 10.3001i | 0.0820484 | + | 0.359477i | 0.999240 | − | 0.0389679i | \(-0.0124070\pi\) |
−0.917192 | + | 0.398445i | \(0.869550\pi\) | |||||||
\(822\) | −4.14355 | − | 5.19584i | −0.144523 | − | 0.181226i | ||||
\(823\) | −31.0443 | − | 14.9501i | −1.08214 | − | 0.521129i | −0.194136 | − | 0.980975i | \(-0.562190\pi\) |
−0.887999 | + | 0.459846i | \(0.847905\pi\) | |||||||
\(824\) | 1.00572 | − | 1.26114i | 0.0350361 | − | 0.0439338i | ||||
\(825\) | −0.0150327 | + | 0.00723938i | −0.000523372 | + | 0.000252043i | ||||
\(826\) | 0.608477 | + | 1.38320i | 0.0211716 | + | 0.0481278i | ||||
\(827\) | 22.2912 | + | 10.7349i | 0.775141 | + | 0.373288i | 0.779258 | − | 0.626703i | \(-0.215596\pi\) |
−0.00411669 | + | 0.999992i | \(0.501310\pi\) | |||||||
\(828\) | 4.06663 | − | 1.95839i | 0.141325 | − | 0.0680587i | ||||
\(829\) | 9.24426 | − | 40.5018i | 0.321066 | − | 1.40668i | −0.514592 | − | 0.857435i | \(-0.672057\pi\) |
0.835659 | − | 0.549249i | \(-0.185086\pi\) | |||||||
\(830\) | 0.646407 | − | 0.311293i | 0.0224371 | − | 0.0108052i | ||||
\(831\) | −13.5943 | − | 17.0467i | −0.471580 | − | 0.591343i | ||||
\(832\) | −6.58304 | −0.228226 | ||||||||
\(833\) | 24.7305 | + | 35.8052i | 0.856860 | + | 1.24058i | ||||
\(834\) | −6.36139 | −0.220277 | ||||||||
\(835\) | 2.11543 | + | 2.65266i | 0.0732073 | + | 0.0917991i | ||||
\(836\) | −0.0234537 | + | 0.0112947i | −0.000811162 | + | 0.000390635i | ||||
\(837\) | 10.2062 | − | 44.7165i | 0.352779 | − | 1.54563i | ||||
\(838\) | −3.28433 | + | 1.58165i | −0.113455 | + | 0.0546372i | ||||
\(839\) | 5.05877 | + | 2.43617i | 0.174648 | + | 0.0841060i | 0.519165 | − | 0.854674i | \(-0.326243\pi\) |
−0.344517 | + | 0.938780i | \(0.611957\pi\) | |||||||
\(840\) | 0.0394985 | − | 1.14869i | 0.00136283 | − | 0.0396336i | ||||
\(841\) | 25.8406 | − | 12.4442i | 0.891055 | − | 0.429109i | ||||
\(842\) | 1.95627 | − | 2.45309i | 0.0674176 | − | 0.0845389i | ||||
\(843\) | 15.0292 | + | 7.23768i | 0.517633 | + | 0.249279i | ||||
\(844\) | 13.8249 | + | 17.3359i | 0.475874 | + | 0.596728i | ||||
\(845\) | 0.0537953 | + | 0.235692i | 0.00185061 | + | 0.00810807i | ||||
\(846\) | 0.642911 | + | 0.806184i | 0.0221037 | + | 0.0277172i | ||||
\(847\) | −1.00014 | + | 29.0861i | −0.0343653 | + | 0.999409i | ||||
\(848\) | 9.49179 | − | 11.9023i | 0.325950 | − | 0.408728i | ||||
\(849\) | −22.3125 | − | 10.7451i | −0.765763 | − | 0.368772i | ||||
\(850\) | −1.68217 | − | 7.37008i | −0.0576981 | − | 0.252792i | ||||
\(851\) | −39.2395 | −1.34511 | ||||||||
\(852\) | 9.43351 | 0.323187 | ||||||||
\(853\) | −5.84308 | − | 25.6002i | −0.200063 | − | 0.876534i | −0.970897 | − | 0.239498i | \(-0.923017\pi\) |
0.770834 | − | 0.637036i | \(-0.219840\pi\) | |||||||
\(854\) | 0.341810 | − | 0.651503i | 0.0116965 | − | 0.0222940i | ||||
\(855\) | 0.172742 | − | 0.756834i | 0.00590766 | − | 0.0258832i | ||||
\(856\) | −0.680132 | + | 2.97985i | −0.0232464 | + | 0.101849i | ||||
\(857\) | −11.1798 | + | 14.0190i | −0.381894 | + | 0.478880i | −0.935211 | − | 0.354090i | \(-0.884790\pi\) |
0.553317 | + | 0.832971i | \(0.313362\pi\) | |||||||
\(858\) | −0.000518063 | 0 | 0.000649631i | −1.76864e−5 | 0 | 2.21780e-5i | ||||
\(859\) | −1.55368 | + | 6.80712i | −0.0530109 | + | 0.232256i | −0.994492 | − | 0.104809i | \(-0.966577\pi\) |
0.941481 | + | 0.337065i | \(0.109434\pi\) | |||||||
\(860\) | −0.365688 | + | 1.60219i | −0.0124699 | + | 0.0546341i | ||||
\(861\) | −24.1844 | + | 46.0964i | −0.824203 | + | 1.57096i | ||||
\(862\) | −0.941408 | − | 4.12458i | −0.0320645 | − | 0.140484i | ||||
\(863\) | −57.9630 | −1.97308 | −0.986542 | − | 0.163510i | \(-0.947719\pi\) | ||||
−0.986542 | + | 0.163510i | \(0.947719\pi\) | |||||||
\(864\) | −13.4734 | −0.458375 | ||||||||
\(865\) | 1.00206 | + | 4.39029i | 0.0340709 | + | 0.149274i | ||||
\(866\) | 2.28173 | + | 1.09882i | 0.0775364 | + | 0.0373396i | ||||
\(867\) | 25.0150 | − | 31.3678i | 0.849554 | − | 1.06531i | ||||
\(868\) | −1.70167 | + | 49.4877i | −0.0577584 | + | 1.67972i | ||||
\(869\) | −0.000761632 | 0 | 0.000955056i | −2.58366e−5 | 0 | 3.23981e-5i | ||||
\(870\) | 0.0138615 | + | 0.0607314i | 0.000469950 | + | 0.00205899i | ||||
\(871\) | −3.25462 | − | 4.08117i | −0.110279 | − | 0.138285i | ||||
\(872\) | −7.56204 | − | 3.64169i | −0.256083 | − | 0.123323i | ||||
\(873\) | −3.39917 | + | 4.26242i | −0.115044 | + | 0.144261i | ||||
\(874\) | −8.72449 | + | 4.20149i | −0.295110 | + | 0.142118i | ||||
\(875\) | 0.218523 | − | 6.35506i | 0.00738743 | − | 0.214840i | ||||
\(876\) | −21.1391 | − | 10.1801i | −0.714226 | − | 0.343953i | ||||
\(877\) | 13.5748 | − | 6.53730i | 0.458390 | − | 0.220749i | −0.190415 | − | 0.981704i | \(-0.560983\pi\) |
0.648805 | + | 0.760955i | \(0.275269\pi\) | |||||||
\(878\) | −0.0212777 | + | 0.0932235i | −0.000718086 | + | 0.00314614i | ||||
\(879\) | −52.8222 | + | 25.4378i | −1.78165 | + | 0.857996i | ||||
\(880\) | 0.000999521 | 0.00125336i | 3.36939e−5 | 4.22508e-5i | ||||||
\(881\) | 43.3999 | 1.46218 | 0.731089 | − | 0.682282i | \(-0.239012\pi\) | ||||
0.731089 | + | 0.682282i | \(0.239012\pi\) | |||||||
\(882\) | 0.697137 | − | 0.278489i | 0.0234738 | − | 0.00937723i | ||||
\(883\) | 57.4511 | 1.93338 | 0.966691 | − | 0.255945i | \(-0.0823867\pi\) | ||||
0.966691 | + | 0.255945i | \(0.0823867\pi\) | |||||||
\(884\) | 7.51714 | + | 9.42620i | 0.252829 | + | 0.317037i | ||||
\(885\) | 0.937040 | − | 0.451255i | 0.0314983 | − | 0.0151688i | ||||
\(886\) | −1.09112 | + | 4.78050i | −0.0366568 | + | 0.160604i | ||||
\(887\) | 11.4741 | − | 5.52563i | 0.385262 | − | 0.185532i | −0.231220 | − | 0.972902i | \(-0.574272\pi\) |
0.616482 | + | 0.787369i | \(0.288557\pi\) | |||||||
\(888\) | −11.8961 | − | 5.72884i | −0.399206 | − | 0.192247i | ||||
\(889\) | 20.0229 | + | 45.5164i | 0.671545 | + | 1.52657i | ||||
\(890\) | −0.840905 | + | 0.404959i | −0.0281872 | + | 0.0135742i | ||||
\(891\) | 0.0114908 | − | 0.0144091i | 0.000384958 | − | 0.000482722i | ||||
\(892\) | 37.4682 | + | 18.0437i | 1.25453 | + | 0.604149i | ||||
\(893\) | 44.1727 | + | 55.3908i | 1.47818 | + | 1.85358i | ||||
\(894\) | −0.210802 | − | 0.923582i | −0.00705026 | − | 0.0308892i | ||||
\(895\) | 2.20895 | + | 2.76993i | 0.0738370 | + | 0.0925887i | ||||
\(896\) | 18.9389 | − | 3.64287i | 0.632705 | − | 0.121700i | ||||
\(897\) | 6.17178 | − | 7.73917i | 0.206070 | − | 0.258403i | ||||
\(898\) | 1.07768 | + | 0.518982i | 0.0359626 | + | 0.0173187i | ||||
\(899\) | −1.21301 | − | 5.31454i | −0.0404561 | − | 0.177250i | ||||
\(900\) | 4.17659 | 0.139220 | ||||||||
\(901\) | −25.9972 | −0.866093 | ||||||||
\(902\) | 0.00105880 | + | 0.00463891i | 3.52542e−5 | + | 0.000154459i | ||||
\(903\) | −16.8797 | + | 3.24678i | −0.561720 | + | 0.108046i | ||||
\(904\) | 4.01908 | − | 17.6087i | 0.133673 | − | 0.585658i | ||||
\(905\) | 0.633535 | − | 2.77570i | 0.0210594 | − | 0.0922673i | ||||
\(906\) | −1.00792 | + | 1.26390i | −0.0334860 | + | 0.0419901i | ||||
\(907\) | 14.3399 | − | 17.9817i | 0.476149 | − | 0.597072i | −0.484516 | − | 0.874782i | \(-0.661004\pi\) |
0.960665 | + | 0.277711i | \(0.0895756\pi\) | |||||||
\(908\) | −2.25108 | + | 9.86263i | −0.0747047 | + | 0.327303i | ||||
\(909\) | 0.946127 | − | 4.14525i | 0.0313811 | − | 0.137489i | ||||
\(910\) | −0.0633805 | − | 0.144078i | −0.00210104 | − | 0.00477614i | ||||
\(911\) | −3.68972 | − | 16.1657i | −0.122246 | − | 0.535594i | −0.998550 | − | 0.0538356i | \(-0.982855\pi\) |
0.876304 | − | 0.481759i | \(-0.160002\pi\) | |||||||
\(912\) | 49.7194 | 1.64637 | ||||||||
\(913\) | −0.0219677 | −0.000727025 | ||||||||
\(914\) | 0.338318 | + | 1.48227i | 0.0111906 | + | 0.0490291i | ||||
\(915\) | −0.456219 | − | 0.219703i | −0.0150821 | − | 0.00726317i | ||||
\(916\) | −29.6390 | + | 37.1661i | −0.979300 | + | 1.22800i | ||||
\(917\) | −32.7707 | − | 8.67463i | −1.08219 | − | 0.286462i | ||||
\(918\) | 4.53348 | + | 5.68481i | 0.149627 | + | 0.187627i | ||||
\(919\) | 1.95320 | + | 8.55753i | 0.0644301 | + | 0.282287i | 0.996872 | − | 0.0790333i | \(-0.0251833\pi\) |
−0.932442 | + | 0.361320i | \(0.882326\pi\) | |||||||
\(920\) | 0.780358 | + | 0.978538i | 0.0257277 | + | 0.0322615i | ||||
\(921\) | 24.1541 | + | 11.6320i | 0.795904 | + | 0.383287i | ||||
\(922\) | −2.83952 | + | 3.56064i | −0.0935145 | + | 0.117264i | ||||
\(923\) | 2.36425 | − | 1.13856i | 0.0778202 | − | 0.0374762i | ||||
\(924\) | −0.00804932 | + | 0.0153423i | −0.000264803 | + | 0.000504725i | ||||
\(925\) | −32.7137 | − | 15.7541i | −1.07562 | − | 0.517991i | ||||
\(926\) | 2.29845 | − | 1.10687i | 0.0755316 | − | 0.0363741i | ||||
\(927\) | 0.161353 | − | 0.706934i | 0.00529953 | − | 0.0232188i | ||||
\(928\) | −1.44273 | + | 0.694783i | −0.0473600 | + | 0.0228074i | ||||
\(929\) | 13.7029 | + | 17.1829i | 0.449578 | + | 0.563753i | 0.954039 | − | 0.299681i | \(-0.0968803\pi\) |
−0.504461 | + | 0.863434i | \(0.668309\pi\) | |||||||
\(930\) | −1.06415 | −0.0348950 | ||||||||
\(931\) | 47.8984 | − | 19.1343i | 1.56981 | − | 0.627100i | ||||
\(932\) | 46.5900 | 1.52611 | ||||||||
\(933\) | 26.9810 | + | 33.8331i | 0.883319 | + | 1.10765i | ||||
\(934\) | 5.33974 | − | 2.57148i | 0.174722 | − | 0.0841414i | ||||
\(935\) | 0.000609174 | − | 0.00266897i | 1.99221e−5 | − | 8.72845e-5i | ||||
\(936\) | 0.380640 | − | 0.183307i | 0.0124416 | − | 0.00599157i | ||||
\(937\) | −5.84060 | − | 2.81268i | −0.190804 | − | 0.0918864i | 0.336042 | − | 0.941847i | \(-0.390911\pi\) |
−0.526847 | + | 0.849960i | \(0.676626\pi\) | |||||||
\(938\) | 2.58280 | + | 2.20910i | 0.0843314 | + | 0.0721298i | ||||
\(939\) | −43.6902 | + | 21.0401i | −1.42578 | + | 0.686617i | ||||
\(940\) | 2.81080 | − | 3.52463i | 0.0916782 | − | 0.114961i | ||||
\(941\) | 15.5507 | + | 7.48881i | 0.506938 | + | 0.244128i | 0.669829 | − | 0.742516i | \(-0.266368\pi\) |
−0.162891 | + | 0.986644i | \(0.552082\pi\) | |||||||
\(942\) | 1.96962 | + | 2.46982i | 0.0641736 | + | 0.0804712i | ||||
\(943\) | −12.6137 | − | 55.2641i | −0.410758 | − | 1.79965i | ||||
\(944\) | 5.26781 | + | 6.60562i | 0.171453 | + | 0.214995i | ||||
\(945\) | 1.22415 | + | 2.78275i | 0.0398215 | + | 0.0905230i | ||||
\(946\) | −0.000979625 | 0.00122841i | −3.18504e−5 | 3.99391e-5i | ||||||
\(947\) | −19.2934 | − | 9.29120i | −0.626950 | − | 0.301923i | 0.0932995 | − | 0.995638i | \(-0.470259\pi\) |
−0.720250 | + | 0.693715i | \(0.755973\pi\) | |||||||
\(948\) | 0.536446 | + | 2.35032i | 0.0174230 | + | 0.0763350i | ||||
\(949\) | −6.52661 | −0.211863 | ||||||||
\(950\) | −8.96038 | −0.290713 | ||||||||
\(951\) | −8.21645 | − | 35.9986i | −0.266437 | − | 1.16733i | ||||
\(952\) | −12.1172 | − | 10.3640i | −0.392719 | − | 0.335898i | ||||
\(953\) | 10.8590 | − | 47.5763i | 0.351757 | − | 1.54115i | −0.421367 | − | 0.906890i | \(-0.638449\pi\) |
0.773123 | − | 0.634256i | \(-0.218693\pi\) | |||||||
\(954\) | −0.0997979 | + | 0.437243i | −0.00323108 | + | 0.0141563i | ||||
\(955\) | −0.734355 | + | 0.920851i | −0.0237632 | + | 0.0297981i | ||||
\(956\) | −14.8729 | + | 18.6501i | −0.481025 | + | 0.603187i | ||||
\(957\) | 0.000424424 | − | 0.00185952i | 1.37197e−5 | − | 6.01098e-5i | ||||
\(958\) | −0.216936 | + | 0.950459i | −0.00700889 | + | 0.0307079i | ||||
\(959\) | −37.2634 | − | 9.86388i | −1.20330 | − | 0.318521i | ||||
\(960\) | −0.656423 | − | 2.87598i | −0.0211860 | − | 0.0928218i | ||||
\(961\) | 62.1230 | 2.00397 | ||||||||
\(962\) | −1.80820 | −0.0582986 | ||||||||
\(963\) | 0.305739 | + | 1.33953i | 0.00985229 | + | 0.0431657i | ||||
\(964\) | 38.2397 | + | 18.4153i | 1.23162 | + | 0.593116i | ||||
\(965\) | 2.70259 | − | 3.38894i | 0.0869993 | − | 0.109094i | ||||
\(966\) | −2.99426 | + | 5.70717i | −0.0963386 | + | 0.183625i | ||||
\(967\) | 24.8696 | + | 31.1855i | 0.799753 | + | 1.00286i | 0.999734 | + | 0.0230586i | \(0.00734043\pi\) |
−0.199981 | + | 0.979800i | \(0.564088\pi\) | |||||||
\(968\) | −2.37294 | − | 10.3965i | −0.0762693 | − | 0.334158i | ||||
\(969\) | −52.9375 | − | 66.3815i | −1.70060 | − | 2.13248i | ||||
\(970\) | −0.670555 | − | 0.322922i | −0.0215302 | − | 0.0103684i | ||||
\(971\) | −26.1048 | + | 32.7343i | −0.837741 | + | 1.05049i | 0.160246 | + | 0.987077i | \(0.448771\pi\) |
−0.997987 | + | 0.0634173i | \(0.979800\pi\) | |||||||
\(972\) | −7.85388 | + | 3.78223i | −0.251913 | + | 0.121315i | ||||
\(973\) | −29.6213 | + | 22.0003i | −0.949614 | + | 0.705299i | ||||
\(974\) | 5.12967 | + | 2.47032i | 0.164365 | + | 0.0791541i | ||||
\(975\) | 8.25253 | − | 3.97421i | 0.264292 | − | 0.127277i | ||||
\(976\) | 0.915348 | − | 4.01040i | 0.0292996 | − | 0.128370i | ||||
\(977\) | −47.8360 | + | 23.0366i | −1.53041 | + | 0.737006i | −0.994247 | − | 0.107110i | \(-0.965840\pi\) |
−0.536161 | + | 0.844116i | \(0.680126\pi\) | |||||||
\(978\) | 2.83493 | + | 3.55488i | 0.0906509 | + | 0.113673i | ||||
\(979\) | 0.0285776 | 0.000913343 | ||||||||
\(980\) | −1.86524 | − | 2.70053i | −0.0595830 | − | 0.0862652i | ||||
\(981\) | −3.77300 | −0.120463 | ||||||||
\(982\) | 3.59169 | + | 4.50383i | 0.114615 | + | 0.143723i | ||||
\(983\) | 8.27708 | − | 3.98603i | 0.263998 | − | 0.127135i | −0.297203 | − | 0.954814i | \(-0.596054\pi\) |
0.561201 | + | 0.827680i | \(0.310340\pi\) | |||||||
\(984\) | 4.24436 | − | 18.5957i | 0.135305 | − | 0.592811i | ||||
\(985\) | −4.61778 | + | 2.22380i | −0.147135 | + | 0.0708563i | ||||
\(986\) | 0.778593 | + | 0.374951i | 0.0247955 | + | 0.0119409i | ||||
\(987\) | 45.5835 | + | 12.0662i | 1.45094 | + | 0.384073i | ||||
\(988\) | 12.8754 | − | 6.20045i | 0.409620 | − | 0.197263i | ||||
\(989\) | 11.6704 | − | 14.6343i | 0.371098 | − | 0.465343i | ||||
\(990\) | −4.25505e−5 | 0 | 2.04912e-5i | −1.35234e−6 | 0 | 6.51254e-7i | ||||
\(991\) | 0.634556 | + | 0.795708i | 0.0201573 | + | 0.0252765i | 0.791808 | − | 0.610770i | \(-0.209140\pi\) |
−0.771651 | + | 0.636047i | \(0.780569\pi\) | |||||||
\(992\) | −6.08711 | − | 26.6694i | −0.193266 | − | 0.846753i | ||||
\(993\) | 37.6154 | + | 47.1682i | 1.19369 | + | 1.49684i | ||||
\(994\) | −1.37160 | + | 1.01871i | −0.0435044 | + | 0.0323117i | ||||
\(995\) | −3.45348 | + | 4.33053i | −0.109483 | + | 0.137287i | ||||
\(996\) | 39.0601 | + | 18.8104i | 1.23767 | + | 0.596030i | ||||
\(997\) | −0.133942 | − | 0.586838i | −0.00424198 | − | 0.0185853i | 0.972763 | − | 0.231803i | \(-0.0744626\pi\) |
−0.977005 | + | 0.213218i | \(0.931605\pi\) | |||||||
\(998\) | 3.66780 | 0.116102 | ||||||||
\(999\) | 34.9239 | 1.10494 |
(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 | 637.2.w.b.547.15 | yes | 174 | |
49.43 | even | 7 | inner | 637.2.w.b.92.15 | ✓ | 174 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
637.2.w.b.92.15 | ✓ | 174 | 49.43 | even | 7 | inner | |
637.2.w.b.547.15 | yes | 174 | 1.1 | even | 1 | trivial |