Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [252,2,Mod(139,252)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(252, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 2, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("252.139");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 252 = 2^{2} \cdot 3^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 252.bi (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: | \(2.01223013094\) |
Analytic rank: | \(0\) |
Dimension: | \(80\) |
Relative dimension: | \(40\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 139.10 | ||
Character | \(\chi\) | \(=\) | 252.139 |
Dual form | 252.2.bi.c.223.10 |
$q$-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 \(\left(\mathbb{Z}/252\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(73\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(-1\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.13617 | − | 0.842090i | −0.803394 | − | 0.595448i | ||||
\(3\) | 1.59413 | + | 0.677299i | 0.920374 | + | 0.391039i | ||||
\(4\) | 0.581768 | + | 1.91352i | 0.290884 | + | 0.956758i | ||||
\(5\) | −1.43245 | − | 0.827025i | −0.640611 | − | 0.369857i | 0.144239 | − | 0.989543i | \(-0.453927\pi\) |
−0.784850 | + | 0.619686i | \(0.787260\pi\) | |||||||
\(6\) | −1.24086 | − | 2.11193i | −0.506580 | − | 0.862193i | ||||
\(7\) | −0.0302588 | + | 2.64558i | −0.0114368 | + | 0.999935i | ||||
\(8\) | 0.950366 | − | 2.66398i | 0.336005 | − | 0.941860i | ||||
\(9\) | 2.08253 | + | 2.15941i | 0.694177 | + | 0.719804i | ||||
\(10\) | 0.931077 | + | 2.14589i | 0.294432 | + | 0.678591i | ||||
\(11\) | 4.24842 | − | 2.45282i | 1.28095 | − | 0.739554i | 0.303924 | − | 0.952696i | \(-0.401703\pi\) |
0.977021 | + | 0.213142i | \(0.0683697\pi\) | |||||||
\(12\) | −0.368607 | + | 3.44443i | −0.106408 | + | 0.994323i | ||||
\(13\) | 0.876334 | + | 0.505952i | 0.243051 | + | 0.140326i | 0.616578 | − | 0.787294i | \(-0.288518\pi\) |
−0.373527 | + | 0.927619i | \(0.621852\pi\) | |||||||
\(14\) | 2.26220 | − | 2.98035i | 0.604597 | − | 0.796531i | ||||
\(15\) | −1.72337 | − | 2.28859i | −0.444973 | − | 0.590910i | ||||
\(16\) | −3.32309 | + | 2.22644i | −0.830773 | + | 0.556611i | ||||
\(17\) | 7.66107i | 1.85808i | 0.369976 | + | 0.929041i | \(0.379366\pi\) | ||||
−0.369976 | + | 0.929041i | \(0.620634\pi\) | |||||||
\(18\) | −0.547691 | − | 4.20714i | −0.129092 | − | 0.991633i | ||||
\(19\) | 2.85119 | 0.654108 | 0.327054 | − | 0.945006i | \(-0.393944\pi\) | ||||
0.327054 | + | 0.945006i | \(0.393944\pi\) | |||||||
\(20\) | 0.749173 | − | 3.22215i | 0.167520 | − | 0.720495i | ||||
\(21\) | −1.84008 | + | 4.19691i | −0.401539 | + | 0.915842i | ||||
\(22\) | −6.89242 | − | 0.790723i | −1.46947 | − | 0.168583i | ||||
\(23\) | 1.98118 | + | 1.14384i | 0.413105 | + | 0.238506i | 0.692123 | − | 0.721780i | \(-0.256676\pi\) |
−0.279018 | + | 0.960286i | \(0.590009\pi\) | |||||||
\(24\) | 3.31933 | − | 3.60307i | 0.677554 | − | 0.735473i | ||||
\(25\) | −1.13206 | − | 1.96079i | −0.226412 | − | 0.392157i | ||||
\(26\) | −0.569608 | − | 1.31280i | −0.111709 | − | 0.257461i | ||||
\(27\) | 1.85727 | + | 4.85289i | 0.357431 | + | 0.933939i | ||||
\(28\) | −5.07996 | + | 1.48121i | −0.960023 | + | 0.279923i | ||||
\(29\) | −4.19857 | − | 7.27213i | −0.779654 | − | 1.35040i | −0.932141 | − | 0.362096i | \(-0.882061\pi\) |
0.152486 | − | 0.988306i | \(-0.451272\pi\) | |||||||
\(30\) | 0.0308507 | + | 4.05146i | 0.00563254 | + | 0.739692i | ||||
\(31\) | −0.348784 | + | 0.604112i | −0.0626435 | + | 0.108502i | −0.895646 | − | 0.444767i | \(-0.853286\pi\) |
0.833003 | + | 0.553269i | \(0.186620\pi\) | |||||||
\(32\) | 5.65047 | + | 0.268722i | 0.998871 | + | 0.0475038i | ||||
\(33\) | 8.43384 | − | 1.03268i | 1.46814 | − | 0.179767i | ||||
\(34\) | 6.45131 | − | 8.70428i | 1.10639 | − | 1.49277i | ||||
\(35\) | 2.23130 | − | 3.76463i | 0.377159 | − | 0.636339i | ||||
\(36\) | −2.92052 | + | 5.24124i | −0.486754 | + | 0.873539i | ||||
\(37\) | 3.97490 | 0.653470 | 0.326735 | − | 0.945116i | \(-0.394051\pi\) | ||||
0.326735 | + | 0.945116i | \(0.394051\pi\) | |||||||
\(38\) | −3.23944 | − | 2.40096i | −0.525506 | − | 0.389487i | ||||
\(39\) | 1.05431 | + | 1.40010i | 0.168825 | + | 0.224195i | ||||
\(40\) | −3.56453 | + | 3.03004i | −0.563602 | + | 0.479092i | ||||
\(41\) | −6.69947 | − | 3.86794i | −1.04628 | − | 0.604071i | −0.124675 | − | 0.992198i | \(-0.539789\pi\) |
−0.921606 | + | 0.388127i | \(0.873122\pi\) | |||||||
\(42\) | 5.62483 | − | 3.21889i | 0.867930 | − | 0.496686i | ||||
\(43\) | 6.70811 | − | 3.87293i | 1.02298 | − | 0.590617i | 0.108013 | − | 0.994150i | \(-0.465551\pi\) |
0.914965 | + | 0.403533i | \(0.132218\pi\) | |||||||
\(44\) | 7.16511 | + | 6.70244i | 1.08018 | + | 1.01043i | ||||
\(45\) | −1.19723 | − | 4.81555i | −0.178473 | − | 0.717860i | ||||
\(46\) | −1.28775 | − | 2.96793i | −0.189868 | − | 0.437597i | ||||
\(47\) | −3.70722 | − | 6.42109i | −0.540754 | − | 0.936613i | −0.998861 | − | 0.0477158i | \(-0.984806\pi\) |
0.458107 | − | 0.888897i | \(-0.348528\pi\) | |||||||
\(48\) | −6.80543 | + | 1.29853i | −0.982279 | + | 0.187426i | ||||
\(49\) | −6.99817 | − | 0.160104i | −0.999738 | − | 0.0228720i | ||||
\(50\) | −0.364945 | + | 3.18108i | −0.0516110 | + | 0.449873i | ||||
\(51\) | −5.18884 | + | 12.2128i | −0.726582 | + | 1.71013i | ||||
\(52\) | −0.458324 | + | 1.97123i | −0.0635581 | + | 0.273360i | ||||
\(53\) | −8.61878 | −1.18388 | −0.591940 | − | 0.805982i | \(-0.701638\pi\) | ||||
−0.591940 | + | 0.805982i | \(0.701638\pi\) | |||||||
\(54\) | 1.97640 | − | 7.07770i | 0.268954 | − | 0.963153i | ||||
\(55\) | −8.11418 | −1.09412 | ||||||||
\(56\) | 7.01902 | + | 2.59488i | 0.937956 | + | 0.346755i | ||||
\(57\) | 4.54518 | + | 1.93111i | 0.602024 | + | 0.255782i | ||||
\(58\) | −1.35350 | + | 11.7980i | −0.177724 | + | 1.54915i | ||||
\(59\) | −2.54378 | + | 4.40596i | −0.331172 | + | 0.573607i | −0.982742 | − | 0.184981i | \(-0.940778\pi\) |
0.651570 | + | 0.758589i | \(0.274111\pi\) | |||||||
\(60\) | 3.37664 | − | 4.62913i | 0.435923 | − | 0.597618i | ||||
\(61\) | −5.12759 | + | 2.96042i | −0.656521 | + | 0.379042i | −0.790950 | − | 0.611881i | \(-0.790413\pi\) |
0.134429 | + | 0.990923i | \(0.457080\pi\) | |||||||
\(62\) | 0.904996 | − | 0.392667i | 0.114935 | − | 0.0498687i | ||||
\(63\) | −5.77591 | + | 5.44416i | −0.727696 | + | 0.685900i | ||||
\(64\) | −6.19361 | − | 5.06352i | −0.774201 | − | 0.632940i | ||||
\(65\) | −0.836869 | − | 1.44950i | −0.103801 | − | 0.179788i | ||||
\(66\) | −10.4519 | − | 5.92875i | −1.28654 | − | 0.729779i | ||||
\(67\) | −2.18590 | − | 1.26203i | −0.267051 | − | 0.154182i | 0.360496 | − | 0.932761i | \(-0.382607\pi\) |
−0.627547 | + | 0.778579i | \(0.715941\pi\) | |||||||
\(68\) | −14.6596 | + | 4.45696i | −1.77774 | + | 0.540486i | ||||
\(69\) | 2.38355 | + | 3.16528i | 0.286946 | + | 0.381055i | ||||
\(70\) | −5.70530 | + | 2.39830i | −0.681914 | + | 0.286652i | ||||
\(71\) | − | 1.00362i | − | 0.119108i | −0.998225 | − | 0.0595539i | \(-0.981032\pi\) | ||
0.998225 | − | 0.0595539i | \(-0.0189678\pi\) | |||||||
\(72\) | 7.73181 | − | 3.49559i | 0.911202 | − | 0.411960i | ||||
\(73\) | − | 5.89658i | − | 0.690142i | −0.938577 | − | 0.345071i | \(-0.887855\pi\) | ||
0.938577 | − | 0.345071i | \(-0.112145\pi\) | |||||||
\(74\) | −4.51617 | − | 3.34723i | −0.524994 | − | 0.389107i | ||||
\(75\) | −0.476618 | − | 3.89250i | −0.0550351 | − | 0.449467i | ||||
\(76\) | 1.65873 | + | 5.45580i | 0.190269 | + | 0.625823i | ||||
\(77\) | 6.36058 | + | 11.3137i | 0.724856 | + | 1.28932i | ||||
\(78\) | −0.0188736 | − | 2.47857i | −0.00213702 | − | 0.280643i | ||||
\(79\) | −4.90752 | + | 2.83336i | −0.552139 | + | 0.318778i | −0.749984 | − | 0.661456i | \(-0.769939\pi\) |
0.197845 | + | 0.980233i | \(0.436606\pi\) | |||||||
\(80\) | 6.60149 | − | 0.440989i | 0.738069 | − | 0.0493041i | ||||
\(81\) | −0.326126 | + | 8.99409i | −0.0362362 | + | 0.999343i | ||||
\(82\) | 4.35458 | + | 10.0362i | 0.480883 | + | 1.10831i | ||||
\(83\) | 1.20736 | + | 2.09120i | 0.132525 | + | 0.229539i | 0.924649 | − | 0.380820i | \(-0.124358\pi\) |
−0.792125 | + | 0.610359i | \(0.791025\pi\) | |||||||
\(84\) | −9.10137 | − | 1.07940i | −0.993041 | − | 0.117773i | ||||
\(85\) | 6.33589 | − | 10.9741i | 0.687224 | − | 1.19031i | ||||
\(86\) | −10.8829 | − | 1.24853i | −1.17354 | − | 0.134632i | ||||
\(87\) | −1.76767 | − | 14.4364i | −0.189514 | − | 1.54775i | ||||
\(88\) | −2.49673 | − | 13.6488i | −0.266152 | − | 1.45497i | ||||
\(89\) | − | 8.19734i | − | 0.868916i | −0.900692 | − | 0.434458i | \(-0.856940\pi\) | ||
0.900692 | − | 0.434458i | \(-0.143060\pi\) | |||||||
\(90\) | −2.69487 | + | 6.47947i | −0.284064 | + | 0.682996i | ||||
\(91\) | −1.36505 | + | 2.30310i | −0.143096 | + | 0.241431i | ||||
\(92\) | −1.03616 | + | 4.45647i | −0.108027 | + | 0.464619i | ||||
\(93\) | −0.965174 | + | 0.726805i | −0.100084 | + | 0.0753662i | ||||
\(94\) | −1.19511 | + | 10.4173i | −0.123266 | + | 1.07446i | ||||
\(95\) | −4.08418 | − | 2.35800i | −0.419028 | − | 0.241926i | ||||
\(96\) | 8.82560 | + | 4.25544i | 0.900759 | + | 0.434319i | ||||
\(97\) | 8.82136 | − | 5.09301i | 0.895673 | − | 0.517117i | 0.0198794 | − | 0.999802i | \(-0.493672\pi\) |
0.875794 | + | 0.482685i | \(0.160338\pi\) | |||||||
\(98\) | 7.81629 | + | 6.07500i | 0.789565 | + | 0.613667i | ||||
\(99\) | 14.1441 | + | 4.06600i | 1.42154 | + | 0.408648i | ||||
\(100\) | 3.09340 | − | 3.30694i | 0.309340 | − | 0.330694i | ||||
\(101\) | −0.846450 | + | 0.488698i | −0.0842249 | + | 0.0486273i | −0.541521 | − | 0.840687i | \(-0.682151\pi\) |
0.457296 | + | 0.889315i | \(0.348818\pi\) | |||||||
\(102\) | 16.1797 | − | 9.50633i | 1.60203 | − | 0.941267i | ||||
\(103\) | 6.53514 | − | 11.3192i | 0.643926 | − | 1.11531i | −0.340622 | − | 0.940200i | \(-0.610638\pi\) |
0.984548 | − | 0.175113i | \(-0.0560290\pi\) | |||||||
\(104\) | 2.18068 | − | 1.85370i | 0.213834 | − | 0.181770i | ||||
\(105\) | 6.10678 | − | 4.49007i | 0.595961 | − | 0.438186i | ||||
\(106\) | 9.79241 | + | 7.25779i | 0.951122 | + | 0.704939i | ||||
\(107\) | − | 1.03143i | − | 0.0997116i | −0.998756 | − | 0.0498558i | \(-0.984124\pi\) | ||
0.998756 | − | 0.0498558i | \(-0.0158762\pi\) | |||||||
\(108\) | −8.20559 | + | 6.37717i | −0.789583 | + | 0.613643i | ||||
\(109\) | −0.842410 | −0.0806882 | −0.0403441 | − | 0.999186i | \(-0.512845\pi\) | ||||
−0.0403441 | + | 0.999186i | \(0.512845\pi\) | |||||||
\(110\) | 9.21910 | + | 6.83288i | 0.879007 | + | 0.651489i | ||||
\(111\) | 6.33653 | + | 2.69220i | 0.601437 | + | 0.255532i | ||||
\(112\) | −5.78968 | − | 8.85887i | −0.547073 | − | 0.837085i | ||||
\(113\) | 3.19162 | − | 5.52804i | 0.300242 | − | 0.520035i | −0.675949 | − | 0.736949i | \(-0.736266\pi\) |
0.976191 | + | 0.216914i | \(0.0695992\pi\) | |||||||
\(114\) | −3.53793 | − | 6.02152i | −0.331358 | − | 0.563967i | ||||
\(115\) | −1.89196 | − | 3.27697i | −0.176426 | − | 0.305579i | ||||
\(116\) | 11.4728 | − | 12.2647i | 1.06522 | − | 1.13875i | ||||
\(117\) | 0.732435 | + | 2.94603i | 0.0677136 | + | 0.272360i | ||||
\(118\) | 6.60039 | − | 2.86383i | 0.607615 | − | 0.263637i | ||||
\(119\) | −20.2680 | − | 0.231815i | −1.85796 | − | 0.0212505i | ||||
\(120\) | −7.73459 | + | 2.41604i | −0.706068 | + | 0.220553i | ||||
\(121\) | 6.53269 | − | 11.3149i | 0.593881 | − | 1.02863i | ||||
\(122\) | 8.31875 | + | 0.954356i | 0.753145 | + | 0.0864034i | ||||
\(123\) | −8.06010 | − | 10.7036i | −0.726755 | − | 0.965108i | ||||
\(124\) | −1.35889 | − | 0.315952i | −0.122032 | − | 0.0283733i | ||||
\(125\) | 12.0152i | 1.07467i | ||||||||
\(126\) | 11.1469 | − | 1.32166i | 0.993044 | − | 0.117742i | ||||
\(127\) | 17.9070i | 1.58899i | 0.607272 | + | 0.794494i | \(0.292264\pi\) | ||||
−0.607272 | + | 0.794494i | \(0.707736\pi\) | |||||||
\(128\) | 2.77306 | + | 10.9686i | 0.245106 | + | 0.969496i | ||||
\(129\) | 13.3168 | − | 1.63057i | 1.17248 | − | 0.143564i | ||||
\(130\) | −0.269784 | + | 2.35160i | −0.0236616 | + | 0.206249i | ||||
\(131\) | −5.02346 | + | 8.70089i | −0.438902 | + | 0.760200i | −0.997605 | − | 0.0691675i | \(-0.977966\pi\) |
0.558703 | + | 0.829368i | \(0.311299\pi\) | |||||||
\(132\) | 6.88259 | + | 15.5375i | 0.599053 | + | 1.35237i | ||||
\(133\) | −0.0862737 | + | 7.54305i | −0.00748088 | + | 0.654065i | ||||
\(134\) | 1.42081 | + | 3.27461i | 0.122740 | + | 0.282883i | ||||
\(135\) | 1.35302 | − | 8.48753i | 0.116450 | − | 0.730490i | ||||
\(136\) | 20.4090 | + | 7.28082i | 1.75005 | + | 0.624325i | ||||
\(137\) | 1.97707 | + | 3.42439i | 0.168913 | + | 0.292566i | 0.938038 | − | 0.346533i | \(-0.112641\pi\) |
−0.769125 | + | 0.639098i | \(0.779308\pi\) | |||||||
\(138\) | −0.0426688 | − | 5.60347i | −0.00363221 | − | 0.476999i | ||||
\(139\) | 4.85060 | − | 8.40148i | 0.411422 | − | 0.712605i | −0.583623 | − | 0.812025i | \(-0.698365\pi\) |
0.995046 | + | 0.0994201i | \(0.0316988\pi\) | |||||||
\(140\) | 8.50178 | + | 2.07949i | 0.718532 | + | 0.175749i | ||||
\(141\) | −1.56081 | − | 12.7470i | −0.131444 | − | 1.07349i | ||||
\(142\) | −0.845139 | + | 1.14028i | −0.0709225 | + | 0.0956905i | ||||
\(143\) | 4.96404 | 0.415114 | ||||||||
\(144\) | −11.7283 | − | 2.53929i | −0.977355 | − | 0.211607i | ||||
\(145\) | 13.8893i | 1.15344i | ||||||||
\(146\) | −4.96545 | + | 6.69952i | −0.410944 | + | 0.554456i | ||||
\(147\) | −11.0476 | − | 4.99508i | −0.911190 | − | 0.411987i | ||||
\(148\) | 2.31247 | + | 7.60605i | 0.190084 | + | 0.625213i | ||||
\(149\) | −3.46856 | + | 6.00773i | −0.284156 | + | 0.492172i | −0.972404 | − | 0.233303i | \(-0.925047\pi\) |
0.688248 | + | 0.725475i | \(0.258380\pi\) | |||||||
\(150\) | −2.73632 | + | 4.82390i | −0.223419 | + | 0.393870i | ||||
\(151\) | 10.8500 | − | 6.26427i | 0.882964 | − | 0.509779i | 0.0113294 | − | 0.999936i | \(-0.496394\pi\) |
0.871635 | + | 0.490156i | \(0.163060\pi\) | |||||||
\(152\) | 2.70967 | − | 7.59552i | 0.219784 | − | 0.616078i | ||||
\(153\) | −16.5434 | + | 15.9544i | −1.33746 | + | 1.28984i | ||||
\(154\) | 2.30048 | − | 18.2105i | 0.185378 | − | 1.46745i | ||||
\(155\) | 0.999232 | − | 0.576907i | 0.0802602 | − | 0.0463383i | ||||
\(156\) | −2.06574 | + | 2.83198i | −0.165392 | + | 0.226740i | ||||
\(157\) | −1.44619 | − | 0.834956i | −0.115418 | − | 0.0666367i | 0.441180 | − | 0.897419i | \(-0.354560\pi\) |
−0.556598 | + | 0.830782i | \(0.687894\pi\) | |||||||
\(158\) | 7.96173 | + | 0.913397i | 0.633401 | + | 0.0726659i | ||||
\(159\) | −13.7395 | − | 5.83749i | −1.08961 | − | 0.462943i | ||||
\(160\) | −7.87177 | − | 5.05801i | −0.622318 | − | 0.399871i | ||||
\(161\) | −3.08606 | + | 5.20676i | −0.243215 | + | 0.410350i | ||||
\(162\) | 7.94437 | − | 9.94419i | 0.624169 | − | 0.781290i | ||||
\(163\) | − | 7.06914i | − | 0.553698i | −0.960913 | − | 0.276849i | \(-0.910710\pi\) | ||
0.960913 | − | 0.276849i | \(-0.0892901\pi\) | |||||||
\(164\) | 3.50383 | − | 15.0698i | 0.273603 | − | 1.17675i | ||||
\(165\) | −12.9351 | − | 5.49573i | −1.00700 | − | 0.427842i | ||||
\(166\) | 0.389218 | − | 3.39266i | 0.0302092 | − | 0.263322i | ||||
\(167\) | 0.578614 | − | 1.00219i | 0.0447745 | − | 0.0775518i | −0.842770 | − | 0.538274i | \(-0.819076\pi\) |
0.887544 | + | 0.460723i | \(0.152410\pi\) | |||||||
\(168\) | 9.43175 | + | 8.89056i | 0.727675 | + | 0.685922i | ||||
\(169\) | −5.98803 | − | 10.3716i | −0.460617 | − | 0.797813i | ||||
\(170\) | −16.4398 | + | 7.13305i | −1.26088 | + | 0.547080i | ||||
\(171\) | 5.93769 | + | 6.15689i | 0.454067 | + | 0.470830i | ||||
\(172\) | 11.3135 | + | 10.5829i | 0.862645 | + | 0.806942i | ||||
\(173\) | 1.30347 | − | 0.752561i | 0.0991013 | − | 0.0572162i | −0.449630 | − | 0.893215i | \(-0.648444\pi\) |
0.548732 | + | 0.835999i | \(0.315111\pi\) | |||||||
\(174\) | −10.1484 | + | 17.8908i | −0.769349 | + | 1.35630i | ||||
\(175\) | 5.22167 | − | 2.93562i | 0.394721 | − | 0.221912i | ||||
\(176\) | −8.65680 | + | 17.6098i | −0.652531 | + | 1.32739i | ||||
\(177\) | −7.03929 | + | 5.30080i | −0.529105 | + | 0.398432i | ||||
\(178\) | −6.90290 | + | 9.31357i | −0.517394 | + | 0.698082i | ||||
\(179\) | − | 1.28088i | − | 0.0957374i | −0.998854 | − | 0.0478687i | \(-0.984757\pi\) | ||
0.998854 | − | 0.0478687i | \(-0.0152429\pi\) | |||||||
\(180\) | 8.51813 | − | 5.09246i | 0.634904 | − | 0.379569i | ||||
\(181\) | − | 26.6202i | − | 1.97866i | −0.145683 | − | 0.989331i | \(-0.546538\pi\) | ||
0.145683 | − | 0.989331i | \(-0.453462\pi\) | |||||||
\(182\) | 3.49035 | − | 1.46722i | 0.258722 | − | 0.108757i | ||||
\(183\) | −10.1792 | + | 1.24639i | −0.752465 | + | 0.0921357i | ||||
\(184\) | 4.93001 | − | 4.19077i | 0.363445 | − | 0.308948i | ||||
\(185\) | −5.69385 | − | 3.28734i | −0.418620 | − | 0.241690i | ||||
\(186\) | 1.70864 | − | 0.0130108i | 0.125283 | − | 0.000953996i | ||||
\(187\) | 18.7913 | + | 32.5474i | 1.37415 | + | 2.38010i | ||||
\(188\) | 10.1301 | − | 10.8294i | 0.738815 | − | 0.789816i | ||||
\(189\) | −12.8949 | + | 4.76670i | −0.937966 | + | 0.346727i | ||||
\(190\) | 2.65468 | + | 6.11835i | 0.192591 | + | 0.443872i | ||||
\(191\) | 7.44229 | − | 4.29681i | 0.538506 | − | 0.310906i | −0.205968 | − | 0.978559i | \(-0.566034\pi\) |
0.744473 | + | 0.667653i | \(0.232701\pi\) | |||||||
\(192\) | −6.44393 | − | 12.2669i | −0.465050 | − | 0.885284i | ||||
\(193\) | −3.80654 | + | 6.59312i | −0.274001 | + | 0.474583i | −0.969882 | − | 0.243573i | \(-0.921680\pi\) |
0.695882 | + | 0.718156i | \(0.255014\pi\) | |||||||
\(194\) | −14.3113 | − | 1.64185i | −1.02749 | − | 0.117878i | ||||
\(195\) | −0.352337 | − | 2.87751i | −0.0252314 | − | 0.206063i | ||||
\(196\) | −3.76495 | − | 13.4843i | −0.268925 | − | 0.963161i | ||||
\(197\) | 14.3946 | 1.02557 | 0.512786 | − | 0.858517i | \(-0.328614\pi\) | ||||
0.512786 | + | 0.858517i | \(0.328614\pi\) | |||||||
\(198\) | −12.6462 | − | 16.5303i | −0.898726 | − | 1.17476i | ||||
\(199\) | −21.9194 | −1.55382 | −0.776911 | − | 0.629610i | \(-0.783215\pi\) | ||||
−0.776911 | + | 0.629610i | \(0.783215\pi\) | |||||||
\(200\) | −6.29937 | + | 1.15232i | −0.445433 | + | 0.0814816i | ||||
\(201\) | −2.62985 | − | 3.49236i | −0.185495 | − | 0.246332i | ||||
\(202\) | 1.37324 | + | 0.157543i | 0.0966208 | + | 0.0110847i | ||||
\(203\) | 19.3660 | − | 10.8876i | 1.35923 | − | 0.764159i | ||||
\(204\) | −26.3881 | − | 2.82392i | −1.84753 | − | 0.197714i | ||||
\(205\) | 6.39776 | + | 11.0813i | 0.446839 | + | 0.773948i | ||||
\(206\) | −16.9568 | + | 7.35736i | −1.18144 | + | 0.512611i | ||||
\(207\) | 1.65586 | + | 6.66026i | 0.115090 | + | 0.462920i | ||||
\(208\) | −4.03861 | + | 0.269785i | −0.280027 | + | 0.0187062i | ||||
\(209\) | 12.1130 | − | 6.99347i | 0.837876 | − | 0.483748i | ||||
\(210\) | −10.7194 | − | 0.0409746i | −0.739708 | − | 0.00282752i | ||||
\(211\) | −1.45464 | − | 0.839838i | −0.100142 | − | 0.0578168i | 0.449093 | − | 0.893485i | \(-0.351747\pi\) |
−0.549234 | + | 0.835668i | \(0.685081\pi\) | |||||||
\(212\) | −5.01413 | − | 16.4922i | −0.344372 | − | 1.13269i | ||||
\(213\) | 0.679751 | − | 1.59991i | 0.0465758 | − | 0.109624i | ||||
\(214\) | −0.868553 | + | 1.17188i | −0.0593731 | + | 0.0801077i | ||||
\(215\) | −12.8120 | −0.873774 | ||||||||
\(216\) | 14.6931 | − | 0.335703i | 0.999739 | − | 0.0228417i | ||||
\(217\) | −1.58767 | − | 0.941016i | −0.107778 | − | 0.0638803i | ||||
\(218\) | 0.957121 | + | 0.709385i | 0.0648244 | + | 0.0480456i | ||||
\(219\) | 3.99375 | − | 9.39994i | 0.269873 | − | 0.635189i | ||||
\(220\) | −4.72057 | − | 15.5266i | −0.318261 | − | 1.04680i | ||||
\(221\) | −3.87613 | + | 6.71366i | −0.260737 | + | 0.451609i | ||||
\(222\) | −4.93231 | − | 8.39473i | −0.331035 | − | 0.563418i | ||||
\(223\) | −4.09002 | − | 7.08413i | −0.273888 | − | 0.474388i | 0.695966 | − | 0.718075i | \(-0.254977\pi\) |
−0.969854 | + | 0.243687i | \(0.921643\pi\) | |||||||
\(224\) | −0.881903 | + | 14.9406i | −0.0589246 | + | 0.998262i | ||||
\(225\) | 1.87659 | − | 6.52798i | 0.125106 | − | 0.435199i | ||||
\(226\) | −8.28133 | + | 3.59317i | −0.550866 | + | 0.239014i | ||||
\(227\) | 13.5064 | + | 23.3937i | 0.896450 | + | 1.55270i | 0.832000 | + | 0.554776i | \(0.187196\pi\) |
0.0644498 | + | 0.997921i | \(0.479471\pi\) | |||||||
\(228\) | −1.05097 | + | 9.82074i | −0.0696021 | + | 0.650394i | ||||
\(229\) | 10.4216 | + | 6.01689i | 0.688677 | + | 0.397608i | 0.803116 | − | 0.595823i | \(-0.203174\pi\) |
−0.114439 | + | 0.993430i | \(0.536507\pi\) | |||||||
\(230\) | −0.609916 | + | 5.31640i | −0.0402167 | + | 0.350553i | ||||
\(231\) | 2.47685 | + | 22.3436i | 0.162964 | + | 1.47010i | ||||
\(232\) | −23.3630 | + | 4.27372i | −1.53386 | + | 0.280584i | ||||
\(233\) | 12.9746 | 0.849992 | 0.424996 | − | 0.905195i | \(-0.360276\pi\) | ||||
0.424996 | + | 0.905195i | \(0.360276\pi\) | |||||||
\(234\) | 1.64865 | − | 3.96397i | 0.107776 | − | 0.259133i | ||||
\(235\) | 12.2639i | 0.800005i | ||||||||
\(236\) | −9.91077 | − | 2.30433i | −0.645136 | − | 0.149999i | ||||
\(237\) | −9.74228 | + | 1.19290i | −0.632829 | + | 0.0774869i | ||||
\(238\) | 22.8327 | + | 17.3308i | 1.48002 | + | 1.12339i | ||||
\(239\) | 5.65067 | + | 3.26242i | 0.365512 | + | 0.211028i | 0.671496 | − | 0.741008i | \(-0.265652\pi\) |
−0.305984 | + | 0.952037i | \(0.598985\pi\) | |||||||
\(240\) | 10.8223 | + | 3.76819i | 0.698579 | + | 0.243235i | ||||
\(241\) | −20.0162 | + | 11.5564i | −1.28936 | + | 0.744410i | −0.978539 | − | 0.206059i | \(-0.933936\pi\) |
−0.310817 | + | 0.950470i | \(0.600603\pi\) | |||||||
\(242\) | −16.9505 | + | 7.35460i | −1.08962 | + | 0.472772i | ||||
\(243\) | −6.61158 | + | 14.1169i | −0.424133 | + | 0.905600i | ||||
\(244\) | −8.64787 | − | 8.08945i | −0.553623 | − | 0.517874i | ||||
\(245\) | 9.89211 | + | 6.01700i | 0.631984 | + | 0.384412i | ||||
\(246\) | 0.144287 | + | 18.9484i | 0.00919937 | + | 1.20811i | ||||
\(247\) | 2.49859 | + | 1.44256i | 0.158982 | + | 0.0917881i | ||||
\(248\) | 1.27787 | + | 1.50328i | 0.0811449 | + | 0.0954586i | ||||
\(249\) | 0.508319 | + | 4.15140i | 0.0322134 | + | 0.263084i | ||||
\(250\) | 10.1179 | − | 13.6513i | 0.639912 | − | 0.863386i | ||||
\(251\) | 5.55147 | 0.350406 | 0.175203 | − | 0.984532i | \(-0.443942\pi\) | ||||
0.175203 | + | 0.984532i | \(0.443942\pi\) | |||||||
\(252\) | −13.7777 | − | 7.88506i | −0.867915 | − | 0.496712i | ||||
\(253\) | 11.2225 | 0.705553 | ||||||||
\(254\) | 15.0793 | − | 20.3454i | 0.946159 | − | 1.27658i | ||||
\(255\) | 17.5330 | − | 13.2029i | 1.09796 | − | 0.826797i | ||||
\(256\) | 6.08589 | − | 14.7974i | 0.380368 | − | 0.924835i | ||||
\(257\) | −16.9652 | − | 9.79486i | −1.05826 | − | 0.610987i | −0.133309 | − | 0.991074i | \(-0.542560\pi\) |
−0.924950 | + | 0.380088i | \(0.875894\pi\) | |||||||
\(258\) | −16.5032 | − | 9.36131i | −1.02745 | − | 0.582810i | ||||
\(259\) | −0.120276 | + | 10.5159i | −0.00747359 | + | 0.653428i | ||||
\(260\) | 2.28678 | − | 2.44464i | 0.141820 | − | 0.151610i | ||||
\(261\) | 6.95989 | − | 24.2109i | 0.430806 | − | 1.49862i | ||||
\(262\) | 13.0344 | − | 5.65549i | 0.805270 | − | 0.349397i | ||||
\(263\) | −11.4745 | + | 6.62480i | −0.707548 | + | 0.408503i | −0.810152 | − | 0.586219i | \(-0.800616\pi\) |
0.102605 | + | 0.994722i | \(0.467282\pi\) | |||||||
\(264\) | 5.26419 | − | 23.4490i | 0.323988 | − | 1.44319i | ||||
\(265\) | 12.3460 | + | 7.12794i | 0.758406 | + | 0.437866i | ||||
\(266\) | 6.44995 | − | 8.49754i | 0.395472 | − | 0.521017i | ||||
\(267\) | 5.55205 | − | 13.0677i | 0.339780 | − | 0.799728i | ||||
\(268\) | 1.14323 | − | 4.91697i | 0.0698339 | − | 0.300352i | ||||
\(269\) | − | 23.5318i | − | 1.43476i | −0.696683 | − | 0.717379i | \(-0.745342\pi\) | ||
0.696683 | − | 0.717379i | \(-0.254658\pi\) | |||||||
\(270\) | −8.68453 | + | 8.50391i | −0.528523 | + | 0.517532i | ||||
\(271\) | 20.2947 | 1.23281 | 0.616406 | − | 0.787428i | \(-0.288588\pi\) | ||||
0.616406 | + | 0.787428i | \(0.288588\pi\) | |||||||
\(272\) | −17.0569 | − | 25.4584i | −1.03423 | − | 1.54364i | ||||
\(273\) | −3.73596 | + | 2.74690i | −0.226111 | + | 0.166250i | ||||
\(274\) | 0.637354 | − | 5.55557i | 0.0385040 | − | 0.335624i | ||||
\(275\) | −9.61892 | − | 5.55349i | −0.580043 | − | 0.334888i | ||||
\(276\) | −4.67015 | + | 6.40243i | −0.281110 | + | 0.385381i | ||||
\(277\) | 9.44902 | + | 16.3662i | 0.567736 | + | 0.983348i | 0.996789 | + | 0.0800689i | \(0.0255140\pi\) |
−0.429053 | + | 0.903279i | \(0.641153\pi\) | |||||||
\(278\) | −12.5859 | + | 5.46088i | −0.754853 | + | 0.327522i | ||||
\(279\) | −2.03088 | + | 0.504913i | −0.121586 | + | 0.0302284i | ||||
\(280\) | −7.90836 | − | 9.52193i | −0.472615 | − | 0.569044i | ||||
\(281\) | −1.06714 | − | 1.84834i | −0.0636602 | − | 0.110263i | 0.832439 | − | 0.554117i | \(-0.186944\pi\) |
−0.896099 | + | 0.443854i | \(0.853611\pi\) | |||||||
\(282\) | −8.96077 | + | 15.7971i | −0.533606 | + | 0.940703i | ||||
\(283\) | 0.122715 | − | 0.212549i | 0.00729468 | − | 0.0126347i | −0.862355 | − | 0.506304i | \(-0.831011\pi\) |
0.869650 | + | 0.493669i | \(0.164345\pi\) | |||||||
\(284\) | 1.92044 | − | 0.583874i | 0.113957 | − | 0.0346465i | ||||
\(285\) | −4.91366 | − | 6.52519i | −0.291060 | − | 0.386519i | ||||
\(286\) | −5.64000 | − | 4.18017i | −0.333500 | − | 0.247179i | ||||
\(287\) | 10.4357 | − | 17.6069i | 0.615997 | − | 1.03930i | ||||
\(288\) | 11.1870 | + | 12.7613i | 0.659200 | + | 0.751968i | ||||
\(289\) | −41.6920 | −2.45247 | ||||||||
\(290\) | 11.6960 | − | 15.7806i | 0.686814 | − | 0.926668i | ||||
\(291\) | 17.5119 | − | 2.14425i | 1.02657 | − | 0.125698i | ||||
\(292\) | 11.2832 | − | 3.43044i | 0.660299 | − | 0.200751i | ||||
\(293\) | 9.64296 | + | 5.56736i | 0.563347 | + | 0.325249i | 0.754488 | − | 0.656314i | \(-0.227885\pi\) |
−0.191141 | + | 0.981563i | \(0.561219\pi\) | |||||||
\(294\) | 8.34563 | + | 14.9783i | 0.486727 | + | 0.873554i | ||||
\(295\) | 7.28768 | − | 4.20754i | 0.424305 | − | 0.244973i | ||||
\(296\) | 3.77762 | − | 10.5891i | 0.219569 | − | 0.615478i | ||||
\(297\) | 19.7937 | + | 16.0616i | 1.14855 | + | 0.931986i | ||||
\(298\) | 8.99993 | − | 3.90496i | 0.521352 | − | 0.226208i | ||||
\(299\) | 1.15745 | + | 2.00476i | 0.0669371 | + | 0.115939i | ||||
\(300\) | 7.17108 | − | 3.17655i | 0.414023 | − | 0.183398i | ||||
\(301\) | 10.0432 | + | 17.8640i | 0.578878 | + | 1.02967i | ||||
\(302\) | −17.6026 | − | 2.01943i | −1.01291 | − | 0.116205i | ||||
\(303\) | −1.68035 | + | 0.205751i | −0.0965336 | + | 0.0118201i | ||||
\(304\) | −9.47477 | + | 6.34802i | −0.543415 | + | 0.364084i | ||||
\(305\) | 9.79335 | 0.560765 | ||||||||
\(306\) | 32.2312 | − | 4.19590i | 1.84254 | − | 0.239863i | ||||
\(307\) | −23.3864 | −1.33473 | −0.667366 | − | 0.744730i | \(-0.732578\pi\) | ||||
−0.667366 | + | 0.744730i | \(0.732578\pi\) | |||||||
\(308\) | −17.9486 | + | 18.7531i | −1.02272 | + | 1.06855i | ||||
\(309\) | 18.0844 | − | 13.6181i | 1.02878 | − | 0.774705i | ||||
\(310\) | −1.62111 | − | 0.185979i | −0.0920726 | − | 0.0105629i | ||||
\(311\) | −15.3325 | + | 26.5567i | −0.869428 | + | 1.50589i | −0.00684678 | + | 0.999977i | \(0.502179\pi\) |
−0.862582 | + | 0.505918i | \(0.831154\pi\) | |||||||
\(312\) | 4.73181 | − | 1.47807i | 0.267886 | − | 0.0836792i | ||||
\(313\) | −13.6566 | + | 7.88467i | −0.771919 | + | 0.445668i | −0.833559 | − | 0.552431i | \(-0.813700\pi\) |
0.0616396 | + | 0.998098i | \(0.480367\pi\) | |||||||
\(314\) | 0.940006 | + | 2.16647i | 0.0530476 | + | 0.122261i | ||||
\(315\) | 12.7762 | − | 3.02166i | 0.719855 | − | 0.170251i | ||||
\(316\) | −8.27672 | − | 7.74227i | −0.465602 | − | 0.435537i | ||||
\(317\) | −3.31354 | − | 5.73923i | −0.186107 | − | 0.322347i | 0.757842 | − | 0.652438i | \(-0.226254\pi\) |
−0.943949 | + | 0.330091i | \(0.892920\pi\) | |||||||
\(318\) | 10.6947 | + | 18.2023i | 0.599730 | + | 1.02073i | ||||
\(319\) | −35.6745 | − | 20.5967i | −1.99739 | − | 1.15319i | ||||
\(320\) | 4.68437 | + | 12.3755i | 0.261864 | + | 0.691811i | ||||
\(321\) | 0.698583 | − | 1.64423i | 0.0389911 | − | 0.0917720i | ||||
\(322\) | 7.89085 | − | 3.31703i | 0.439740 | − | 0.184851i | ||||
\(323\) | 21.8432i | 1.21539i | ||||||||
\(324\) | −17.4001 | + | 4.60842i | −0.966671 | + | 0.256024i | ||||
\(325\) | − | 2.29107i | − | 0.127086i | ||||||
\(326\) | −5.95285 | + | 8.03175i | −0.329698 | + | 0.444837i | ||||
\(327\) | −1.34291 | − | 0.570563i | −0.0742633 | − | 0.0315522i | ||||
\(328\) | −16.6711 | + | 14.1713i | −0.920506 | + | 0.782479i | ||||
\(329\) | 17.0997 | − | 9.61345i | 0.942736 | − | 0.530006i | ||||
\(330\) | 10.0686 | + | 17.1366i | 0.554257 | + | 0.943339i | ||||
\(331\) | 6.89178 | − | 3.97897i | 0.378807 | − | 0.218704i | −0.298492 | − | 0.954412i | \(-0.596484\pi\) |
0.677299 | + | 0.735708i | \(0.263150\pi\) | |||||||
\(332\) | −3.29915 | + | 3.52689i | −0.181064 | + | 0.193563i | ||||
\(333\) | 8.27786 | + | 8.58346i | 0.453624 | + | 0.470371i | ||||
\(334\) | −1.50134 | + | 0.651413i | −0.0821496 | + | 0.0356437i | ||||
\(335\) | 2.08746 | + | 3.61559i | 0.114050 | + | 0.197541i | ||||
\(336\) | −3.22943 | − | 18.0436i | −0.176180 | − | 0.984358i | ||||
\(337\) | −16.0246 | + | 27.7555i | −0.872918 | + | 1.51194i | −0.0139542 | + | 0.999903i | \(0.504442\pi\) |
−0.858964 | + | 0.512036i | \(0.828891\pi\) | |||||||
\(338\) | −1.93037 | + | 16.8263i | −0.104999 | + | 0.915232i | ||||
\(339\) | 8.83201 | − | 6.65077i | 0.479689 | − | 0.361220i | ||||
\(340\) | 24.6851 | + | 5.73947i | 1.33874 | + | 0.311266i | ||||
\(341\) | 3.42203i | 0.185313i | ||||||||
\(342\) | −1.56157 | − | 11.9954i | −0.0844400 | − | 0.648635i | ||||
\(343\) | 0.635325 | − | 18.5094i | 0.0343043 | − | 0.999411i | ||||
\(344\) | −3.94226 | − | 21.5510i | −0.212552 | − | 1.16195i | ||||
\(345\) | −0.796550 | − | 6.50536i | −0.0428848 | − | 0.350237i | ||||
\(346\) | −2.11469 | − | 0.242605i | −0.113687 | − | 0.0130425i | ||||
\(347\) | 2.35072 | + | 1.35719i | 0.126193 | + | 0.0728576i | 0.561768 | − | 0.827295i | \(-0.310121\pi\) |
−0.435575 | + | 0.900153i | \(0.643455\pi\) | |||||||
\(348\) | 26.5960 | − | 11.7811i | 1.42570 | − | 0.631535i | ||||
\(349\) | −0.192902 | + | 0.111372i | −0.0103258 | + | 0.00596160i | −0.505154 | − | 0.863029i | \(-0.668564\pi\) |
0.494828 | + | 0.868991i | \(0.335231\pi\) | |||||||
\(350\) | −8.40476 | − | 1.06175i | −0.449253 | − | 0.0567527i | ||||
\(351\) | −0.827742 | + | 5.19244i | −0.0441816 | + | 0.277152i | ||||
\(352\) | 24.6647 | − | 12.7180i | 1.31463 | − | 0.677869i | ||||
\(353\) | −24.5385 | + | 14.1673i | −1.30605 | + | 0.754049i | −0.981435 | − | 0.191796i | \(-0.938569\pi\) |
−0.324617 | + | 0.945846i | \(0.605235\pi\) | |||||||
\(354\) | 12.4616 | − | 0.0948913i | 0.662326 | − | 0.00504341i | ||||
\(355\) | −0.830019 | + | 1.43763i | −0.0440528 | + | 0.0763017i | ||||
\(356\) | 15.6857 | − | 4.76895i | 0.831343 | − | 0.252754i | ||||
\(357\) | −32.1529 | − | 14.0970i | −1.70171 | − | 0.746093i | ||||
\(358\) | −1.07862 | + | 1.45530i | −0.0570066 | + | 0.0769148i | ||||
\(359\) | 21.8680i | 1.15415i | 0.816691 | + | 0.577075i | \(0.195806\pi\) | ||||
−0.816691 | + | 0.577075i | \(0.804194\pi\) | |||||||
\(360\) | −13.9664 | − | 1.38713i | −0.736092 | − | 0.0731084i | ||||
\(361\) | −10.8707 | −0.572143 | ||||||||
\(362\) | −22.4166 | + | 30.2451i | −1.17819 | + | 1.58965i | ||||
\(363\) | 18.0776 | − | 13.6130i | 0.948827 | − | 0.714495i | ||||
\(364\) | −5.20116 | − | 1.27218i | −0.272615 | − | 0.0666803i | ||||
\(365\) | −4.87662 | + | 8.44655i | −0.255254 | + | 0.442113i | ||||
\(366\) | 12.6148 | + | 7.15566i | 0.659388 | + | 0.374032i | ||||
\(367\) | −3.75833 | − | 6.50962i | −0.196183 | − | 0.339800i | 0.751104 | − | 0.660183i | \(-0.229521\pi\) |
−0.947288 | + | 0.320384i | \(0.896188\pi\) | |||||||
\(368\) | −9.13034 | + | 0.609920i | −0.475952 | + | 0.0317943i | ||||
\(369\) | −5.59937 | − | 22.5220i | −0.291492 | − | 1.17245i | ||||
\(370\) | 3.70094 | + | 8.52972i | 0.192403 | + | 0.443439i | ||||
\(371\) | 0.260794 | − | 22.8017i | 0.0135398 | − | 1.18380i | ||||
\(372\) | −1.95226 | − | 1.42404i | −0.101220 | − | 0.0738333i | ||||
\(373\) | 5.04377 | − | 8.73606i | 0.261156 | − | 0.452336i | −0.705393 | − | 0.708816i | \(-0.749230\pi\) |
0.966549 | + | 0.256480i | \(0.0825629\pi\) | |||||||
\(374\) | 6.05778 | − | 52.8033i | 0.313240 | − | 2.73040i | ||||
\(375\) | −8.13790 | + | 19.1539i | −0.420239 | + | 0.989102i | ||||
\(376\) | −20.6289 | + | 3.77358i | −1.06385 | + | 0.194607i | ||||
\(377\) | − | 8.49709i | − | 0.437622i | ||||||
\(378\) | 18.6648 | + | 5.44289i | 0.960014 | + | 0.279952i | ||||
\(379\) | − | 20.7129i | − | 1.06395i | −0.846761 | − | 0.531974i | \(-0.821450\pi\) | ||
0.846761 | − | 0.531974i | \(-0.178550\pi\) | |||||||
\(380\) | 2.13603 | − | 9.18696i | 0.109576 | − | 0.471281i | ||||
\(381\) | −12.1284 | + | 28.5462i | −0.621356 | + | 1.46246i | ||||
\(382\) | −12.0740 | − | 1.38517i | −0.617761 | − | 0.0708716i | ||||
\(383\) | 12.6923 | − | 21.9837i | 0.648545 | − | 1.12331i | −0.334926 | − | 0.942245i | \(-0.608711\pi\) |
0.983471 | − | 0.181068i | \(-0.0579555\pi\) | |||||||
\(384\) | −3.00840 | + | 19.3636i | −0.153522 | + | 0.988145i | ||||
\(385\) | 0.245526 | − | 21.4667i | 0.0125132 | − | 1.09404i | ||||
\(386\) | 9.87688 | − | 4.28546i | 0.502720 | − | 0.218124i | ||||
\(387\) | 22.3331 | + | 6.42009i | 1.13526 | + | 0.326351i | ||||
\(388\) | 14.8776 | + | 13.9169i | 0.755293 | + | 0.706522i | ||||
\(389\) | 15.9336 | + | 27.5978i | 0.807865 | + | 1.39926i | 0.914340 | + | 0.404947i | \(0.132710\pi\) |
−0.106475 | + | 0.994315i | \(0.533957\pi\) | |||||||
\(390\) | −2.02281 | + | 3.56604i | −0.102429 | + | 0.180573i | ||||
\(391\) | −8.76301 | + | 15.1780i | −0.443164 | + | 0.767583i | ||||
\(392\) | −7.07734 | + | 18.4908i | −0.357460 | + | 0.933929i | ||||
\(393\) | −13.9012 | + | 10.4680i | −0.701222 | + | 0.528041i | ||||
\(394\) | −16.3547 | − | 12.1215i | −0.823938 | − | 0.610674i | ||||
\(395\) | 9.37303 | 0.471608 | ||||||||
\(396\) | 0.448235 | + | 29.4305i | 0.0225246 | + | 1.47894i | ||||
\(397\) | 10.3571i | 0.519806i | 0.965635 | + | 0.259903i | \(0.0836906\pi\) | ||||
−0.965635 | + | 0.259903i | \(0.916309\pi\) | |||||||
\(398\) | 24.9041 | + | 18.4581i | 1.24833 | + | 0.925220i | ||||
\(399\) | −5.24643 | + | 11.9662i | −0.262650 | + | 0.599059i | ||||
\(400\) | 8.12752 | + | 3.99540i | 0.406376 | + | 0.199770i | ||||
\(401\) | 9.69923 | − | 16.7996i | 0.484356 | − | 0.838930i | −0.515482 | − | 0.856900i | \(-0.672387\pi\) |
0.999839 | + | 0.0179704i | \(0.00572046\pi\) | |||||||
\(402\) | 0.0470778 | + | 6.18249i | 0.00234803 | + | 0.308354i | ||||
\(403\) | −0.611303 | + | 0.352936i | −0.0304512 | + | 0.0175810i | ||||
\(404\) | −1.42757 | − | 1.33539i | −0.0710242 | − | 0.0664380i | ||||
\(405\) | 7.90549 | − | 12.6139i | 0.392827 | − | 0.626788i | ||||
\(406\) | −31.1715 | − | 3.93779i | −1.54701 | − | 0.195429i | ||||
\(407\) | 16.8870 | − | 9.74974i | 0.837060 | − | 0.483277i | ||||
\(408\) | 27.6033 | + | 25.4296i | 1.36657 | + | 1.25895i | ||||
\(409\) | 14.1825 | + | 8.18830i | 0.701282 | + | 0.404885i | 0.807825 | − | 0.589423i | \(-0.200645\pi\) |
−0.106543 | + | 0.994308i | \(0.533978\pi\) | |||||||
\(410\) | 2.06246 | − | 17.9777i | 0.101858 | − | 0.887855i | ||||
\(411\) | 0.832384 | + | 6.79801i | 0.0410585 | + | 0.335321i | ||||
\(412\) | 25.4614 | + | 5.91995i | 1.25439 | + | 0.291655i | ||||
\(413\) | −11.5793 | − | 6.86310i | −0.569782 | − | 0.337711i | ||||
\(414\) | 3.72720 | − | 8.96158i | 0.183182 | − | 0.440438i | ||||
\(415\) | − | 3.99405i | − | 0.196060i | ||||||
\(416\) | 4.81574 | + | 3.09435i | 0.236111 | + | 0.151713i | ||||
\(417\) | 13.4228 | − | 10.1078i | 0.657319 | − | 0.494981i | ||||
\(418\) | −19.6516 | − | 2.25450i | −0.961192 | − | 0.110271i | ||||
\(419\) | 10.4437 | − | 18.0890i | 0.510209 | − | 0.883707i | −0.489722 | − | 0.871879i | \(-0.662902\pi\) |
0.999930 | − | 0.0118282i | \(-0.00376511\pi\) | |||||||
\(420\) | 12.1446 | + | 9.07325i | 0.592593 | + | 0.442729i | ||||
\(421\) | −2.68795 | − | 4.65567i | −0.131003 | − | 0.226904i | 0.793061 | − | 0.609143i | \(-0.208486\pi\) |
−0.924063 | + | 0.382239i | \(0.875153\pi\) | |||||||
\(422\) | 0.945502 | + | 2.17914i | 0.0460263 | + | 0.106079i | ||||
\(423\) | 6.14539 | − | 21.3775i | 0.298799 | − | 1.03941i | ||||
\(424\) | −8.19100 | + | 22.9603i | −0.397790 | + | 1.11505i | ||||
\(425\) | 15.0217 | − | 8.67279i | 0.728660 | − | 0.420692i | ||||
\(426\) | −2.11958 | + | 1.24535i | −0.102694 | + | 0.0603376i | ||||
\(427\) | −7.67685 | − | 13.6550i | −0.371509 | − | 0.660813i | ||||
\(428\) | 1.97365 | − | 0.600050i | 0.0953999 | − | 0.0290045i | ||||
\(429\) | 7.91335 | + | 3.36214i | 0.382060 | + | 0.162326i | ||||
\(430\) | 14.5567 | + | 10.7889i | 0.701985 | + | 0.520287i | ||||
\(431\) | 0.569062i | 0.0274108i | 0.999906 | + | 0.0137054i | \(0.00436270\pi\) | ||||
−0.999906 | + | 0.0137054i | \(0.995637\pi\) | |||||||
\(432\) | −16.9766 | − | 11.9915i | −0.816785 | − | 0.576942i | ||||
\(433\) | 29.1119i | 1.39903i | 0.714619 | + | 0.699514i | \(0.246600\pi\) | ||||
−0.714619 | + | 0.699514i | \(0.753400\pi\) | |||||||
\(434\) | 1.01145 | + | 2.40612i | 0.0485510 | + | 0.115497i | ||||
\(435\) | −9.40720 | + | 22.1414i | −0.451041 | + | 1.06160i | ||||
\(436\) | −0.490087 | − | 1.61196i | −0.0234709 | − | 0.0771991i | ||||
\(437\) | 5.64873 | + | 3.26129i | 0.270215 | + | 0.156009i | ||||
\(438\) | −12.4532 | + | 7.31684i | −0.595036 | + | 0.349612i | ||||
\(439\) | −0.679870 | − | 1.17757i | −0.0324484 | − | 0.0562023i | 0.849345 | − | 0.527838i | \(-0.176997\pi\) |
−0.881794 | + | 0.471636i | \(0.843664\pi\) | |||||||
\(440\) | −7.71145 | + | 21.6160i | −0.367629 | + | 1.03050i | ||||
\(441\) | −14.2282 | − | 15.4454i | −0.677532 | − | 0.735493i | ||||
\(442\) | 10.0575 | − | 4.36381i | 0.478384 | − | 0.207565i | ||||
\(443\) | 3.04716 | − | 1.75928i | 0.144775 | − | 0.0835858i | −0.425863 | − | 0.904788i | \(-0.640029\pi\) |
0.570638 | + | 0.821202i | \(0.306696\pi\) | |||||||
\(444\) | −1.46518 | + | 13.6913i | −0.0695343 | + | 0.649760i | ||||
\(445\) | −6.77940 | + | 11.7423i | −0.321374 | + | 0.556637i | ||||
\(446\) | −1.31851 | + | 11.4929i | −0.0624333 | + | 0.544207i | ||||
\(447\) | −9.59839 | + | 7.22787i | −0.453988 | + | 0.341867i | ||||
\(448\) | 13.5833 | − | 16.2325i | 0.641753 | − | 0.766912i | ||||
\(449\) | 13.2772 | 0.626591 | 0.313295 | − | 0.949656i | \(-0.398567\pi\) | ||||
0.313295 | + | 0.949656i | \(0.398567\pi\) | |||||||
\(450\) | −7.62928 | + | 5.83664i | −0.359648 | + | 0.275142i | ||||
\(451\) | −37.9495 | −1.78697 | ||||||||
\(452\) | 12.4348 | + | 2.89118i | 0.584883 | + | 0.135989i | ||||
\(453\) | 21.5392 | − | 2.63737i | 1.01200 | − | 0.123915i | ||||
\(454\) | 4.35408 | − | 37.9529i | 0.204347 | − | 1.78122i | ||||
\(455\) | 3.86009 | − | 2.17014i | 0.180964 | − | 0.101738i | ||||
\(456\) | 9.46403 | − | 10.2730i | 0.443194 | − | 0.481078i | ||||
\(457\) | 11.7494 | + | 20.3506i | 0.549614 | + | 0.951959i | 0.998301 | + | 0.0582701i | \(0.0185584\pi\) |
−0.448687 | + | 0.893689i | \(0.648108\pi\) | |||||||
\(458\) | −6.77391 | − | 15.6121i | −0.316524 | − | 0.729507i | ||||
\(459\) | −37.1783 | + | 14.2287i | −1.73534 | + | 0.664137i | ||||
\(460\) | 5.16986 | − | 5.52674i | 0.241046 | − | 0.257685i | ||||
\(461\) | −13.3984 | + | 7.73555i | −0.624024 | + | 0.360280i | −0.778434 | − | 0.627726i | \(-0.783986\pi\) |
0.154410 | + | 0.988007i | \(0.450652\pi\) | |||||||
\(462\) | 16.0012 | − | 27.4719i | 0.744445 | − | 1.27811i | ||||
\(463\) | −18.2044 | − | 10.5103i | −0.846031 | − | 0.488456i | 0.0132786 | − | 0.999912i | \(-0.495773\pi\) |
−0.859310 | + | 0.511456i | \(0.829106\pi\) | |||||||
\(464\) | 30.1432 | + | 14.8181i | 1.39936 | + | 0.687913i | ||||
\(465\) | 1.98365 | − | 0.242888i | 0.0919895 | − | 0.0112637i | ||||
\(466\) | −14.7413 | − | 10.9258i | −0.682878 | − | 0.506126i | ||||
\(467\) | −29.6578 | −1.37240 | −0.686199 | − | 0.727414i | \(-0.740722\pi\) | ||||
−0.686199 | + | 0.727414i | \(0.740722\pi\) | |||||||
\(468\) | −5.21116 | + | 3.11543i | −0.240886 | + | 0.144011i | ||||
\(469\) | 3.40495 | − | 5.74479i | 0.157226 | − | 0.265270i | ||||
\(470\) | 10.3273 | − | 13.9338i | 0.476361 | − | 0.642720i | ||||
\(471\) | −1.73990 | − | 2.31053i | −0.0801703 | − | 0.106464i | ||||
\(472\) | 9.31988 | + | 10.9639i | 0.428982 | + | 0.504653i | ||||
\(473\) | 18.9992 | − | 32.9076i | 0.873586 | − | 1.51310i | ||||
\(474\) | 12.0734 | + | 6.84855i | 0.554551 | + | 0.314564i | ||||
\(475\) | −3.22772 | − | 5.59057i | −0.148098 | − | 0.256513i | ||||
\(476\) | −11.3477 | − | 38.9179i | −0.520119 | − | 1.78380i | ||||
\(477\) | −17.9489 | − | 18.6115i | −0.821823 | − | 0.852162i | ||||
\(478\) | −3.67288 | − | 8.46504i | −0.167994 | − | 0.387182i | ||||
\(479\) | 2.16539 | + | 3.75057i | 0.0989393 | + | 0.171368i | 0.911246 | − | 0.411863i | \(-0.135122\pi\) |
−0.812307 | + | 0.583231i | \(0.801788\pi\) | |||||||
\(480\) | −9.12287 | − | 13.3947i | −0.416400 | − | 0.611381i | ||||
\(481\) | 3.48334 | + | 2.01111i | 0.158827 | + | 0.0916987i | ||||
\(482\) | 32.4733 | + | 3.72545i | 1.47912 | + | 0.169690i | ||||
\(483\) | −8.44612 | + | 6.21010i | −0.384312 | + | 0.282569i | ||||
\(484\) | 25.4518 | + | 5.91773i | 1.15690 | + | 0.268988i | ||||
\(485\) | −16.8482 | −0.765037 | ||||||||
\(486\) | 19.3996 | − | 10.4717i | 0.879983 | − | 0.475005i | ||||
\(487\) | 33.3117i | 1.50950i | 0.656015 | + | 0.754748i | \(0.272241\pi\) | ||||
−0.656015 | + | 0.754748i | \(0.727759\pi\) | |||||||
\(488\) | 3.01341 | + | 16.4733i | 0.136411 | + | 0.745711i | ||||
\(489\) | 4.78792 | − | 11.2692i | 0.216517 | − | 0.509609i | ||||
\(490\) | −6.17227 | − | 15.1664i | −0.278835 | − | 0.685148i | ||||
\(491\) | −27.8604 | − | 16.0852i | −1.25732 | − | 0.725916i | −0.284770 | − | 0.958596i | \(-0.591917\pi\) |
−0.972553 | + | 0.232680i | \(0.925250\pi\) | |||||||
\(492\) | 15.7923 | − | 21.6501i | 0.711973 | − | 0.976063i | ||||
\(493\) | 55.7123 | − | 32.1655i | 2.50916 | − | 1.44866i | ||||
\(494\) | −1.62406 | − | 3.74304i | −0.0730699 | − | 0.168407i | ||||
\(495\) | −16.8980 | − | 17.5219i | −0.759511 | − | 0.787550i | ||||
\(496\) | −0.185980 | − | 2.78407i | −0.00835075 | − | 0.125008i | ||||
\(497\) | 2.65516 | + | 0.0303684i | 0.119100 | + | 0.00136221i | ||||
\(498\) | 2.91832 | − | 5.14475i | 0.130773 | − | 0.230542i | ||||
\(499\) | 29.5577 | + | 17.0652i | 1.32319 | + | 0.763941i | 0.984235 | − | 0.176863i | \(-0.0565950\pi\) |
0.338950 | + | 0.940805i | \(0.389928\pi\) | |||||||
\(500\) | −22.9913 | + | 6.99007i | −1.02820 | + | 0.312605i | ||||
\(501\) | 1.60117 | − | 1.20573i | 0.0715351 | − | 0.0538681i | ||||
\(502\) | −6.30742 | − | 4.67484i | −0.281514 | − | 0.208648i | ||||
\(503\) | 9.76180 | 0.435257 | 0.217629 | − | 0.976032i | \(-0.430168\pi\) | ||||
0.217629 | + | 0.976032i | \(0.430168\pi\) | |||||||
\(504\) | 9.01391 | + | 20.5609i | 0.401512 | + | 0.915854i | ||||
\(505\) | 1.61666 | 0.0719405 | ||||||||
\(506\) | −12.7507 | − | 9.45037i | −0.566837 | − | 0.420120i | ||||
\(507\) | −2.52107 | − | 20.5894i | −0.111965 | − | 0.914405i | ||||
\(508\) | −34.2653 | + | 10.4177i | −1.52028 | + | 0.462211i | ||||
\(509\) | 12.0256 | + | 6.94300i | 0.533027 | + | 0.307743i | 0.742248 | − | 0.670125i | \(-0.233760\pi\) |
−0.209221 | + | 0.977868i | \(0.567093\pi\) | |||||||
\(510\) | −31.0385 | + | 0.236349i | −1.37441 | + | 0.0104657i | ||||
\(511\) | 15.5999 | + | 0.178424i | 0.690097 | + | 0.00789300i | ||||
\(512\) | −19.3753 | + | 11.6875i | −0.856276 | + | 0.516518i | ||||
\(513\) | 5.29542 | + | 13.8365i | 0.233799 | + | 0.610897i | ||||
\(514\) | 11.0272 | + | 25.4149i | 0.486389 | + | 1.12100i | ||||
\(515\) | −18.7225 | + | 10.8094i | −0.825012 | + | 0.476321i | ||||
\(516\) | 10.8674 | + | 24.5333i | 0.478411 | + | 1.08002i | ||||
\(517\) | −31.4996 | − | 18.1863i | −1.38535 | − | 0.799833i | ||||
\(518\) | 8.99201 | − | 11.8466i | 0.395086 | − | 0.520510i | ||||
\(519\) | 2.58762 | − | 0.316842i | 0.113584 | − | 0.0139078i | ||||
\(520\) | −4.65677 | + | 0.851849i | −0.204213 | + | 0.0373561i | ||||
\(521\) | − | 15.9160i | − | 0.697291i | −0.937255 | − | 0.348646i | \(-0.886642\pi\) | ||
0.937255 | − | 0.348646i | \(-0.113358\pi\) | |||||||
\(522\) | −28.2954 | + | 21.6468i | −1.23845 | + | 0.947457i | ||||
\(523\) | 28.0511 | 1.22659 | 0.613294 | − | 0.789855i | \(-0.289844\pi\) | ||||
0.613294 | + | 0.789855i | \(0.289844\pi\) | |||||||
\(524\) | −19.5718 | − | 4.55058i | −0.854997 | − | 0.198793i | ||||
\(525\) | 10.3123 | − | 1.14315i | 0.450067 | − | 0.0498910i | ||||
\(526\) | 18.6157 | + | 2.13565i | 0.811682 | + | 0.0931189i | ||||
\(527\) | −4.62815 | − | 2.67206i | −0.201605 | − | 0.116397i | ||||
\(528\) | −25.7272 | + | 22.2092i | −1.11963 | + | 0.966531i | ||||
\(529\) | −8.88328 | − | 15.3863i | −0.386229 | − | 0.668969i | ||||
\(530\) | −8.02475 | − | 18.4950i | −0.348573 | − | 0.803370i | ||||
\(531\) | −14.8118 | + | 3.68248i | −0.642777 | + | 0.159806i | ||||
\(532\) | −14.4839 | + | 4.22321i | −0.627958 | + | 0.183100i | ||||
\(533\) | −3.91398 | − | 6.77921i | −0.169533 | − | 0.293640i | ||||
\(534\) | −17.3122 | + | 10.1718i | −0.749173 | + | 0.440175i | ||||
\(535\) | −0.853014 | + | 1.47746i | −0.0368790 | + | 0.0638763i | ||||
\(536\) | −5.43944 | + | 4.62382i | −0.234948 | + | 0.199718i | ||||
\(537\) | 0.867538 | − | 2.04189i | 0.0374370 | − | 0.0881142i | ||||
\(538\) | −19.8159 | + | 26.7361i | −0.854324 | + | 1.15268i | ||||
\(539\) | −30.1238 | + | 16.4851i | −1.29753 | + | 0.710063i | ||||
\(540\) | 17.0282 | − | 2.34874i | 0.732776 | − | 0.101074i | ||||
\(541\) | 4.98478 | 0.214313 | 0.107156 | − | 0.994242i | \(-0.465825\pi\) | ||||
0.107156 | + | 0.994242i | \(0.465825\pi\) | |||||||
\(542\) | −23.0582 | − | 17.0899i | −0.990434 | − | 0.734076i | ||||
\(543\) | 18.0298 | − | 42.4362i | 0.773734 | − | 1.82111i | ||||
\(544\) | −2.05870 | + | 43.2886i | −0.0882661 | + | 1.85598i | ||||
\(545\) | 1.20671 | + | 0.696694i | 0.0516897 | + | 0.0298431i | ||||
\(546\) | 6.55783 | + | 0.0250672i | 0.280649 | + | 0.00107278i | ||||
\(547\) | −24.9146 | + | 14.3844i | −1.06527 | + | 0.615034i | −0.926885 | − | 0.375345i | \(-0.877524\pi\) |
−0.138384 | + | 0.990379i | \(0.544191\pi\) | |||||||
\(548\) | −5.40243 | + | 5.77536i | −0.230780 | + | 0.246711i | ||||
\(549\) | −17.0711 | − | 4.90742i | −0.728578 | − | 0.209444i | ||||
\(550\) | 6.25220 | + | 14.4097i | 0.266595 | + | 0.614432i | ||||
\(551\) | −11.9709 | − | 20.7342i | −0.509978 | − | 0.883308i | ||||
\(552\) | 10.6975 | − | 3.34156i | 0.455316 | − | 0.142226i | ||||
\(553\) | −7.34738 | − | 13.0690i | −0.312442 | − | 0.555749i | ||||
\(554\) | 3.04610 | − | 26.5517i | 0.129417 | − | 1.12807i | ||||
\(555\) | −6.85025 | − | 9.09691i | −0.290777 | − | 0.386142i | ||||
\(556\) | 18.8983 | + | 4.39399i | 0.801467 | + | 0.186347i | ||||
\(557\) | −24.8923 | −1.05472 | −0.527360 | − | 0.849642i | \(-0.676818\pi\) | ||||
−0.527360 | + | 0.849642i | \(0.676818\pi\) | |||||||
\(558\) | 2.73261 | + | 1.13652i | 0.115681 | + | 0.0481127i | ||||
\(559\) | 7.83806 | 0.331515 | ||||||||
\(560\) | 0.966917 | + | 17.4781i | 0.0408597 | + | 0.738584i | ||||
\(561\) | 7.91146 | + | 64.6123i | 0.334022 | + | 2.72793i | ||||
\(562\) | −0.344017 | + | 2.99866i | −0.0145115 | + | 0.126491i | ||||
\(563\) | −5.94575 | + | 10.2983i | −0.250584 | + | 0.434024i | −0.963687 | − | 0.267036i | \(-0.913956\pi\) |
0.713103 | + | 0.701059i | \(0.247289\pi\) | |||||||
\(564\) | 23.4835 | − | 10.4024i | 0.988835 | − | 0.438021i | ||||
\(565\) | −9.14366 | + | 5.27909i | −0.384677 | + | 0.222093i | ||||
\(566\) | −0.318411 | + | 0.138155i | −0.0133838 | + | 0.00580708i | ||||
\(567\) | −23.7847 | − | 1.13494i | −0.998863 | − | 0.0476631i | ||||
\(568\) | −2.67363 | − | 0.953807i | −0.112183 | − | 0.0400208i | ||||
\(569\) | 2.96159 | + | 5.12962i | 0.124156 | + | 0.215045i | 0.921403 | − | 0.388609i | \(-0.127044\pi\) |
−0.797247 | + | 0.603654i | \(0.793711\pi\) | |||||||
\(570\) | 0.0879611 | + | 11.5515i | 0.00368429 | + | 0.483838i | ||||
\(571\) | 28.8922 | + | 16.6809i | 1.20910 | + | 0.698074i | 0.962563 | − | 0.271059i | \(-0.0873739\pi\) |
0.246537 | + | 0.969133i | \(0.420707\pi\) | |||||||
\(572\) | 2.88792 | + | 9.49877i | 0.120750 | + | 0.397164i | ||||
\(573\) | 14.7742 | − | 1.80903i | 0.617203 | − | 0.0755735i | ||||
\(574\) | −26.6833 | + | 11.2167i | −1.11374 | + | 0.468176i | ||||
\(575\) | − | 5.17956i | − | 0.216003i | ||||||
\(576\) | −1.96416 | − | 23.9195i | −0.0818399 | − | 0.996645i | ||||
\(577\) | − | 29.0803i | − | 1.21063i | −0.795987 | − | 0.605314i | \(-0.793048\pi\) | ||
0.795987 | − | 0.605314i | \(-0.206952\pi\) | |||||||
\(578\) | 47.3692 | + | 35.1084i | 1.97030 | + | 1.46032i | ||||
\(579\) | −10.5336 | + | 7.93215i | −0.437763 | + | 0.329649i | ||||
\(580\) | −26.5774 | + | 8.08034i | −1.10357 | + | 0.335518i | ||||
\(581\) | −5.56897 | + | 3.13088i | −0.231040 | + | 0.129891i | ||||
\(582\) | −21.7022 | − | 12.3104i | −0.899585 | − | 0.510282i | ||||
\(583\) | −36.6162 | + | 21.1403i | −1.51649 | + | 0.875544i | ||||
\(584\) | −15.7084 | − | 5.60391i | −0.650018 | − | 0.231891i | ||||
\(585\) | 1.38726 | − | 4.82577i | 0.0573562 | − | 0.199521i | ||||
\(586\) | −6.26782 | − | 14.4457i | −0.258921 | − | 0.596747i | ||||
\(587\) | 7.47781 | + | 12.9519i | 0.308642 | + | 0.534584i | 0.978066 | − | 0.208297i | \(-0.0667921\pi\) |
−0.669423 | + | 0.742881i | \(0.733459\pi\) | |||||||
\(588\) | 3.13104 | − | 24.0457i | 0.129122 | − | 0.991629i | ||||
\(589\) | −0.994450 | + | 1.72244i | −0.0409756 | + | 0.0709718i | ||||
\(590\) | −11.8232 | − | 1.35640i | −0.486753 | − | 0.0558420i | ||||
\(591\) | 22.9469 | + | 9.74944i | 0.943910 | + | 0.401038i | ||||
\(592\) | −13.2090 | + | 8.84991i | −0.542886 | + | 0.363729i | ||||
\(593\) | − | 15.6604i | − | 0.643096i | −0.946893 | − | 0.321548i | \(-0.895797\pi\) | ||
0.946893 | − | 0.321548i | \(-0.104203\pi\) | |||||||
\(594\) | −8.96378 | − | 34.9168i | −0.367788 | − | 1.43265i | ||||
\(595\) | 28.8411 | + | 17.0942i | 1.18237 | + | 0.700793i | ||||
\(596\) | −13.5138 | − | 3.14205i | −0.553546 | − | 0.128703i | ||||
\(597\) | −34.9424 | − | 14.8460i | −1.43010 | − | 0.607605i | ||||
\(598\) | 0.373130 | − | 3.25243i | 0.0152584 | − | 0.133002i | ||||
\(599\) | 33.5225 | + | 19.3542i | 1.36969 | + | 0.790791i | 0.990888 | − | 0.134686i | \(-0.0430026\pi\) |
0.378803 | + | 0.925477i | \(0.376336\pi\) | |||||||
\(600\) | −10.8225 | − | 2.42960i | −0.441827 | − | 0.0991880i | ||||
\(601\) | −22.3109 | + | 12.8812i | −0.910081 | + | 0.525435i | −0.880457 | − | 0.474126i | \(-0.842764\pi\) |
−0.0296235 | + | 0.999561i | \(0.509431\pi\) | |||||||
\(602\) | 3.63238 | − | 28.7538i | 0.148045 | − | 1.17192i | ||||
\(603\) | −1.82696 | − | 7.34849i | −0.0743997 | − | 0.299254i | ||||
\(604\) | 18.2990 | + | 17.1174i | 0.744576 | + | 0.696496i | ||||
\(605\) | −18.7155 | + | 10.8054i | −0.760893 | + | 0.439302i | ||||
\(606\) | 2.08242 | + | 1.18124i | 0.0845927 | + | 0.0479845i | ||||
\(607\) | 3.14595 | − | 5.44895i | 0.127690 | − | 0.221166i | −0.795091 | − | 0.606490i | \(-0.792577\pi\) |
0.922781 | + | 0.385324i | \(0.125910\pi\) | |||||||
\(608\) | 16.1106 | + | 0.766178i | 0.653369 | + | 0.0310726i | ||||
\(609\) | 38.2462 | − | 4.23969i | 1.54982 | − | 0.171801i | ||||
\(610\) | −11.1269 | − | 8.24688i | −0.450516 | − | 0.333906i | ||||
\(611\) | − | 7.50270i | − | 0.303527i | ||||||
\(612\) | −40.1535 | − | 22.3743i | −1.62311 | − | 0.904428i | ||||
\(613\) | 22.1645 | 0.895217 | 0.447608 | − | 0.894230i | \(-0.352276\pi\) | ||||
0.447608 | + | 0.894230i | \(0.352276\pi\) | |||||||
\(614\) | 26.5710 | + | 19.6935i | 1.07232 | + | 0.794764i | ||||
\(615\) | 2.69357 | + | 21.9982i | 0.108615 | + | 0.887053i | ||||
\(616\) | 36.1845 | − | 6.19230i | 1.45791 | − | 0.249495i | ||||
\(617\) | −20.1769 | + | 34.9474i | −0.812291 | + | 1.40693i | 0.0989666 | + | 0.995091i | \(0.468446\pi\) |
−0.911257 | + | 0.411838i | \(0.864887\pi\) | |||||||
\(618\) | −32.0146 | + | 0.243782i | −1.28782 | + | 0.00980633i | ||||
\(619\) | −19.4800 | − | 33.7403i | −0.782966 | − | 1.35614i | −0.930207 | − | 0.367035i | \(-0.880373\pi\) |
0.147241 | − | 0.989101i | \(-0.452961\pi\) | |||||||
\(620\) | 1.68524 | + | 1.57642i | 0.0676809 | + | 0.0633106i | ||||
\(621\) | −1.87133 | + | 11.7389i | −0.0750938 | + | 0.471065i | ||||
\(622\) | 39.7836 | − | 17.2616i | 1.59518 | − | 0.692127i | ||||
\(623\) | 21.6867 | + | 0.248042i | 0.868859 | + | 0.00993759i | ||||
\(624\) | −6.62082 | − | 2.30527i | −0.265045 | − | 0.0922849i | ||||
\(625\) | 4.27658 | − | 7.40725i | 0.171063 | − | 0.296290i | ||||
\(626\) | 22.1559 | + | 2.54180i | 0.885527 | + | 0.101591i | ||||
\(627\) | 24.0465 | − | 2.94438i | 0.960324 | − | 0.117587i | ||||
\(628\) | 0.756357 | − | 3.25305i | 0.0301819 | − | 0.129811i | ||||
\(629\) | 30.4520i | 1.21420i | ||||||||
\(630\) | −17.0604 | − | 7.32555i | −0.679703 | − | 0.291857i | ||||
\(631\) | 1.06032i | 0.0422108i | 0.999777 | + | 0.0211054i | \(0.00671856\pi\) | ||||
−0.999777 | + | 0.0211054i | \(0.993281\pi\) | |||||||
\(632\) | 2.88408 | + | 15.7663i | 0.114722 | + | 0.627149i | ||||
\(633\) | −1.75007 | − | 2.32404i | −0.0695592 | − | 0.0923724i | ||||
\(634\) | −1.06820 | + | 9.31104i | −0.0424235 | + | 0.369789i | ||||
\(635\) | 14.8095 | − | 25.6508i | 0.587698 | − | 1.01792i | ||||
\(636\) | 3.17694 | − | 29.6868i | 0.125974 | − | 1.17716i | ||||
\(637\) | −6.05173 | − | 3.68104i | −0.239778 | − | 0.145848i | ||||
\(638\) | 23.1881 | + | 53.4425i | 0.918024 | + | 2.11581i | ||||
\(639\) | 2.16723 | − | 2.09007i | 0.0857343 | − | 0.0826819i | ||||
\(640\) | 5.09904 | − | 18.0053i | 0.201557 | − | 0.711724i | ||||
\(641\) | −13.7294 | − | 23.7800i | −0.542278 | − | 0.939253i | −0.998773 | − | 0.0495272i | \(-0.984229\pi\) |
0.456495 | − | 0.889726i | \(-0.349105\pi\) | |||||||
\(642\) | −2.17830 | + | 1.27986i | −0.0859707 | + | 0.0505119i | ||||
\(643\) | −0.0203966 | + | 0.0353280i | −0.000804364 | + | 0.00139320i | −0.866427 | − | 0.499303i | \(-0.833589\pi\) |
0.865623 | + | 0.500696i | \(0.166923\pi\) | |||||||
\(644\) | −11.7586 | − | 2.87609i | −0.463353 | − | 0.113334i | ||||
\(645\) | −20.4241 | − | 8.67759i | −0.804199 | − | 0.341680i | ||||
\(646\) | 18.3939 | − | 24.8176i | 0.723699 | − | 0.976434i | ||||
\(647\) | −12.6901 | −0.498899 | −0.249449 | − | 0.968388i | \(-0.580250\pi\) | ||||
−0.249449 | + | 0.968388i | \(0.580250\pi\) | |||||||
\(648\) | 23.6502 | + | 9.41647i | 0.929066 | + | 0.369914i | ||||
\(649\) | 24.9578i | 0.979680i | ||||||||
\(650\) | −1.92929 | + | 2.60305i | −0.0756729 | + | 0.102100i | ||||
\(651\) | −1.89361 | − | 2.57544i | −0.0742166 | − | 0.100939i | ||||
\(652\) | 13.5269 | − | 4.11260i | 0.529755 | − | 0.161062i | ||||
\(653\) | −3.40787 | + | 5.90260i | −0.133360 | + | 0.230987i | −0.924970 | − | 0.380041i | \(-0.875910\pi\) |
0.791610 | + | 0.611027i | \(0.209243\pi\) | |||||||
\(654\) | 1.04531 | + | 1.77911i | 0.0408750 | + | 0.0695688i | ||||
\(655\) | 14.3917 | − | 8.30905i | 0.562330 | − | 0.324661i | ||||
\(656\) | 30.8747 | − | 2.06248i | 1.20545 | − | 0.0805261i | ||||
\(657\) | 12.7331 | − | 12.2798i | 0.496767 | − | 0.479081i | ||||
\(658\) | −27.5235 | − | 3.47696i | −1.07298 | − | 0.135546i | ||||
\(659\) | 21.9583 | − | 12.6776i | 0.855375 | − | 0.493851i | −0.00708581 | − | 0.999975i | \(-0.502256\pi\) |
0.862461 | + | 0.506124i | \(0.168922\pi\) | |||||||
\(660\) | 2.99095 | − | 27.9488i | 0.116422 | − | 1.08790i | ||||
\(661\) | −27.4120 | − | 15.8263i | −1.06620 | − | 0.615572i | −0.139061 | − | 0.990284i | \(-0.544408\pi\) |
−0.927141 | + | 0.374712i | \(0.877742\pi\) | |||||||
\(662\) | −11.1809 | − | 1.28271i | −0.434558 | − | 0.0498540i | ||||
\(663\) | −10.7262 | + | 8.07717i | −0.416572 | + | 0.313691i | ||||
\(664\) | 6.71835 | − | 1.22897i | 0.260723 | − | 0.0476932i | ||||
\(665\) | 6.36187 | − | 10.7337i | 0.246703 | − | 0.416234i | ||||
\(666\) | −2.17702 | − | 16.7230i | −0.0843578 | − | 0.648002i | ||||
\(667\) | − | 19.2099i | − | 0.743810i | ||||||
\(668\) | 2.25433 | + | 0.524147i | 0.0872225 | + | 0.0202798i | ||||
\(669\) | −1.72197 | − | 14.0632i | −0.0665754 | − | 0.543716i | ||||
\(670\) | 0.672941 | − | 5.86576i | 0.0259980 | − | 0.226614i | ||||
\(671\) | −14.5228 | + | 25.1541i | −0.560645 | + | 0.971065i | ||||
\(672\) | −11.5251 | + | 23.2201i | −0.444592 | + | 0.895733i | ||||
\(673\) | −2.22066 | − | 3.84630i | −0.0856002 | − | 0.148264i | 0.820047 | − | 0.572297i | \(-0.193947\pi\) |
−0.905647 | + | 0.424033i | \(0.860614\pi\) | |||||||
\(674\) | 41.5794 | − | 18.0408i | 1.60158 | − | 0.694905i | ||||
\(675\) | 7.41294 | − | 9.13547i | 0.285324 | − | 0.351624i | ||||
\(676\) | 16.3625 | − | 17.4920i | 0.629328 | − | 0.672770i | ||||
\(677\) | 5.61421 | − | 3.24137i | 0.215772 | − | 0.124576i | −0.388219 | − | 0.921567i | \(-0.626910\pi\) |
0.603991 | + | 0.796991i | \(0.293576\pi\) | |||||||
\(678\) | −15.6352 | + | 0.119058i | −0.600467 | + | 0.00457238i | ||||
\(679\) | 13.2070 | + | 23.4917i | 0.506840 | + | 0.901529i | ||||
\(680\) | −23.2134 | − | 27.3081i | −0.890192 | − | 1.04722i | ||||
\(681\) | 5.68643 | + | 46.4406i | 0.217904 | + | 1.77961i | ||||
\(682\) | 2.88165 | − | 3.88801i | 0.110344 | − | 0.148879i | ||||
\(683\) | − | 28.5921i | − | 1.09405i | −0.837117 | − | 0.547024i | \(-0.815761\pi\) | ||
0.837117 | − | 0.547024i | \(-0.184239\pi\) | |||||||
\(684\) | −8.32696 | + | 14.9438i | −0.318389 | + | 0.571389i | ||||
\(685\) | − | 6.54035i | − | 0.249894i | ||||||
\(686\) | −16.3084 | + | 20.4948i | −0.622657 | + | 0.782495i | ||||
\(687\) | 12.5381 | + | 16.6503i | 0.478360 | + | 0.635247i | ||||
\(688\) | −13.6688 | + | 27.8054i | −0.521119 | + | 1.06007i | ||||
\(689\) | −7.55293 | − | 4.36069i | −0.287744 | − | 0.166129i | ||||
\(690\) | −4.57309 | + | 8.06197i | −0.174094 | + | 0.306914i | ||||
\(691\) | −4.98156 | − | 8.62831i | −0.189507 | − | 0.328236i | 0.755579 | − | 0.655058i | \(-0.227356\pi\) |
−0.945086 | + | 0.326822i | \(0.894022\pi\) | |||||||
\(692\) | 2.19836 | + | 2.05640i | 0.0835690 | + | 0.0781728i | ||||
\(693\) | −11.1849 | + | 37.2963i | −0.424879 | + | 1.41677i | ||||
\(694\) | −1.52794 | − | 3.52151i | −0.0579999 | − | 0.133675i | ||||
\(695\) | −13.8965 | + | 8.02313i | −0.527123 | + | 0.304335i | ||||
\(696\) | −40.1384 | − | 9.01086i | −1.52144 | − | 0.341556i | ||||
\(697\) | 29.6326 | − | 51.3251i | 1.12241 | − | 1.94408i | ||||
\(698\) | 0.312954 | + | 0.0359032i | 0.0118455 | + | 0.00135896i | ||||
\(699\) | 20.6832 | + | 8.78766i | 0.782311 | + | 0.332380i | ||||
\(700\) | 8.65516 | + | 8.28389i | 0.327134 | + | 0.313102i | ||||
\(701\) | −13.0365 | −0.492382 | −0.246191 | − | 0.969221i | \(-0.579179\pi\) | ||||
−0.246191 | + | 0.969221i | \(0.579179\pi\) | |||||||
\(702\) | 5.31296 | − | 5.20247i | 0.200525 | − | 0.196354i | ||||
\(703\) | 11.3332 | 0.427440 | ||||||||
\(704\) | −38.7329 | − | 6.32010i | −1.45980 | − | 0.238198i | ||||
\(705\) | −8.30630 | + | 19.5502i | −0.312833 | + | 0.736304i | ||||
\(706\) | 39.8101 | + | 4.56715i | 1.49827 | + | 0.171887i | ||||
\(707\) | −1.26728 | − | 2.25414i | −0.0476608 | − | 0.0847755i | ||||
\(708\) | −14.2384 | − | 10.3860i | −0.535112 | − | 0.390328i | ||||
\(709\) | −1.46945 | − | 2.54516i | −0.0551862 | − | 0.0955853i | 0.837113 | − | 0.547031i | \(-0.184242\pi\) |
−0.892299 | + | 0.451445i | \(0.850909\pi\) | |||||||
\(710\) | 2.15366 | − | 0.934447i | 0.0808254 | − | 0.0350692i | ||||
\(711\) | −16.3385 | − | 4.69680i | −0.612740 | − | 0.176144i | ||||
\(712\) | −21.8376 | − | 7.79047i | −0.818397 | − | 0.291960i | ||||
\(713\) | −1.38201 | + | 0.797904i | −0.0517567 | + | 0.0298817i | ||||
\(714\) | 24.6602 | + | 43.0922i | 0.922883 | + | 1.61269i | ||||
\(715\) | −7.11073 | − | 4.10538i | −0.265926 | − | 0.153533i | ||||
\(716\) | 2.45098 | − | 0.745174i | 0.0915975 | − | 0.0278485i | ||||
\(717\) | 6.79830 | + | 9.02793i | 0.253887 | + | 0.337154i | ||||
\(718\) | 18.4148 | − | 24.8458i | 0.687235 | − | 0.927236i | ||||
\(719\) | 52.8108 | 1.96951 | 0.984754 | − | 0.173951i | \(-0.0556534\pi\) | ||||
0.984754 | + | 0.173951i | \(0.0556534\pi\) | |||||||
\(720\) | 14.7001 | + | 13.3370i | 0.547840 | + | 0.497039i | ||||
\(721\) | 29.7481 | + | 17.6317i | 1.10788 | + | 0.656640i | ||||
\(722\) | 12.3510 | + | 9.15413i | 0.459656 | + | 0.340681i | ||||
\(723\) | −39.7356 | + | 4.86543i | −1.47778 | + | 0.180947i | ||||
\(724\) | 50.9382 | − | 15.4868i | 1.89310 | − | 0.575561i | ||||
\(725\) | −9.50606 | + | 16.4650i | −0.353046 | + | 0.611494i | ||||
\(726\) | −32.0026 | + | 0.243690i | −1.18773 | + | 0.00904419i | ||||
\(727\) | 13.3309 | + | 23.0897i | 0.494414 | + | 0.856351i | 0.999979 | − | 0.00643778i | \(-0.00204922\pi\) |
−0.505565 | + | 0.862789i | \(0.668716\pi\) | |||||||
\(728\) | 4.83812 | + | 5.82526i | 0.179313 | + | 0.215899i | ||||
\(729\) | −20.1011 | + | 18.0262i | −0.744486 | + | 0.667638i | ||||
\(730\) | 12.6534 | − | 5.49017i | 0.468324 | − | 0.203200i | ||||
\(731\) | 29.6708 | + | 51.3913i | 1.09741 | + | 1.90078i | ||||
\(732\) | −8.30689 | − | 18.7529i | −0.307031 | − | 0.693126i | ||||
\(733\) | −23.6033 | − | 13.6274i | −0.871807 | − | 0.503338i | −0.00385894 | − | 0.999993i | \(-0.501228\pi\) |
−0.867948 | + | 0.496654i | \(0.834562\pi\) | |||||||
\(734\) | −1.21158 | + | 10.5609i | −0.0447203 | + | 0.389810i | ||||
\(735\) | 11.6940 | + | 16.2918i | 0.431341 | + | 0.600933i | ||||
\(736\) | 10.8872 | + | 6.99560i | 0.401309 | + | 0.257861i | ||||
\(737\) | −12.3822 | −0.456103 | ||||||||
\(738\) | −12.6037 | + | 30.3040i | −0.463950 | + | 1.11551i | ||||
\(739\) | − | 42.7029i | − | 1.57085i | −0.618957 | − | 0.785425i | \(-0.712444\pi\) | ||
0.618957 | − | 0.785425i | \(-0.287556\pi\) | |||||||
\(740\) | 2.97789 | − | 12.8077i | 0.109469 | − | 0.470822i | ||||
\(741\) | 3.00605 | + | 3.99194i | 0.110430 | + | 0.146647i | ||||
\(742\) | −19.4974 | + | 25.6870i | −0.715771 | + | 0.942998i | ||||
\(743\) | −31.9011 | − | 18.4181i | −1.17034 | − | 0.675695i | −0.216578 | − | 0.976265i | \(-0.569490\pi\) |
−0.953760 | + | 0.300571i | \(0.902823\pi\) | |||||||
\(744\) | 1.01893 | + | 3.26194i | 0.0373557 | + | 0.119588i | ||||
\(745\) | 9.93708 | − | 5.73718i | 0.364067 | − | 0.210194i | ||||
\(746\) | −13.0871 | + | 5.67835i | −0.479154 | + | 0.207899i | ||||
\(747\) | −2.00141 | + | 6.96217i | −0.0732278 | + | 0.254733i | ||||
\(748\) | −51.3479 | + | 54.8924i | −1.87746 | + | 2.00707i | ||||
\(749\) | 2.72872 | + | 0.0312097i | 0.0997051 | + | 0.00114038i | ||||
\(750\) | 25.3753 | − | 14.9092i | 0.926576 | − | 0.544408i | ||||
\(751\) | 20.8062 | + | 12.0125i | 0.759228 | + | 0.438341i | 0.829019 | − | 0.559221i | \(-0.188900\pi\) |
−0.0697904 | + | 0.997562i | \(0.522233\pi\) | |||||||
\(752\) | 26.6156 | + | 13.0840i | 0.970573 | + | 0.477123i | ||||
\(753\) | 8.84979 | + | 3.76001i | 0.322504 | + | 0.137022i | ||||
\(754\) | −7.15532 | + | 9.65414i | −0.260581 | + | 0.351583i | ||||
\(755\) | −20.7228 | −0.754181 | ||||||||
\(756\) | −16.6230 | − | 21.9015i | −0.604573 | − | 0.796550i | ||||
\(757\) | 45.4741 | 1.65279 | 0.826393 | − | 0.563094i | \(-0.190389\pi\) | ||||
0.826393 | + | 0.563094i | \(0.190389\pi\) | |||||||
\(758\) | −17.4421 | + | 23.5333i | −0.633525 | + | 0.854769i | ||||
\(759\) | 17.8902 | + | 7.60100i | 0.649373 | + | 0.275899i | ||||
\(760\) | −10.1632 | + | 8.63923i | −0.368656 | + | 0.313378i | ||||
\(761\) | 33.8844 | + | 19.5632i | 1.22831 | + | 0.709164i | 0.966676 | − | 0.256003i | \(-0.0824057\pi\) |
0.261633 | + | 0.965167i | \(0.415739\pi\) | |||||||
\(762\) | 37.8184 | − | 22.2201i | 1.37001 | − | 0.804949i | ||||
\(763\) | 0.0254903 | − | 2.22866i | 0.000922812 | − | 0.0806829i | ||||
\(764\) | 12.5517 | + | 11.7412i | 0.454105 | + | 0.424782i | ||||
\(765\) | 36.8923 | − | 9.17208i | 1.33384 | − | 0.331617i | ||||
\(766\) | −32.9328 | + | 14.2892i | −1.18991 | + | 0.516288i | ||||
\(767\) | −4.45841 | + | 2.57406i | −0.160984 | + | 0.0929440i | ||||
\(768\) | 19.7240 | − | 19.4670i | 0.711727 | − | 0.702456i | ||||
\(769\) | −14.2130 | − | 8.20587i | −0.512534 | − | 0.295911i | 0.221341 | − | 0.975196i | \(-0.428957\pi\) |
−0.733874 | + | 0.679285i | \(0.762290\pi\) | |||||||
\(770\) | −18.3559 | + | 24.1831i | −0.661500 | + | 0.871498i | ||||
\(771\) | −20.4108 | − | 27.1048i | −0.735075 | − | 0.976157i | ||||
\(772\) | −14.8306 | − | 3.44821i | −0.533763 | − | 0.124104i | ||||
\(773\) | 43.6024i | 1.56827i | 0.620591 | + | 0.784134i | \(0.286893\pi\) | ||||
−0.620591 | + | 0.784134i | \(0.713107\pi\) | |||||||
\(774\) | −19.9679 | − | 26.1008i | −0.717733 | − | 0.938174i | ||||
\(775\) | 1.57938 | 0.0567330 | ||||||||
\(776\) | −5.18418 | − | 28.3402i | −0.186101 | − | 1.01735i | ||||
\(777\) | −7.31416 | + | 16.6823i | −0.262394 | + | 0.598475i | ||||
\(778\) | 5.13655 | − | 44.7733i | 0.184154 | − | 1.60520i | ||||
\(779\) | −19.1015 | − | 11.0282i | −0.684380 | − | 0.395127i | ||||
\(780\) | 5.30118 | − | 2.34824i | 0.189813 | − | 0.0840807i | ||||
\(781\) | −2.46170 | − | 4.26379i | −0.0880866 | − | 0.152571i | ||||
\(782\) | 22.7375 | − | 9.86553i | 0.813091 | − | 0.352790i | ||||
\(783\) | 27.4930 | − | 33.8815i | 0.982520 | − | 1.21083i | ||||
\(784\) | 23.6120 | − | 15.0490i | 0.843287 | − | 0.537464i | ||||
\(785\) | 1.38106 | + | 2.39206i | 0.0492921 | + | 0.0853764i | ||||
\(786\) | 24.6091 | − | 0.187391i | 0.877778 | − | 0.00668402i | ||||
\(787\) | 2.89125 | − | 5.00779i | 0.103062 | − | 0.178508i | −0.809883 | − | 0.586592i | \(-0.800469\pi\) |
0.912945 | + | 0.408083i | \(0.133803\pi\) | |||||||
\(788\) | 8.37431 | + | 27.5443i | 0.298322 | + | 0.981224i | ||||
\(789\) | −22.7789 | + | 2.78916i | −0.810949 | + | 0.0992968i | ||||
\(790\) | −10.6494 | − | 7.89294i | −0.378887 | − | 0.280818i | ||||
\(791\) | 14.5283 | + | 8.61095i | 0.516567 | + | 0.306170i | ||||
\(792\) | 24.2738 | − | 33.8155i | 0.862533 | − | 1.20158i | ||||
\(793\) | −5.99131 | −0.212758 | ||||||||
\(794\) | 8.72159 | − | 11.7674i | 0.309517 | − | 0.417609i | ||||
\(795\) | 14.8534 | + | 19.7248i | 0.526795 | + | 0.699567i | ||||
\(796\) | −12.7520 | − | 41.9431i | −0.451982 | − | 1.48663i | ||||
\(797\) | 11.1404 | + | 6.43191i | 0.394613 | + | 0.227830i | 0.684157 | − | 0.729335i | \(-0.260170\pi\) |
−0.289544 | + | 0.957165i | \(0.593504\pi\) | |||||||
\(798\) | 16.0375 | − | 9.17767i | 0.567720 | − | 0.324886i | ||||
\(799\) | 49.1924 | − | 28.4013i | 1.74030 | − | 1.00476i | ||||
\(800\) | −5.86976 | − | 11.3836i | −0.207527 | − | 0.402470i | ||||
\(801\) | 17.7014 | − | 17.0712i | 0.625449 | − | 0.603182i | ||||
\(802\) | −25.1667 | + | 10.9195i | −0.888668 | + | 0.385582i | ||||
\(803\) | −14.4633 | − | 25.0511i | −0.510398 | − | 0.884035i | ||||
\(804\) | 5.15272 | − | 7.06401i | 0.181723 | − | 0.249128i | ||||
\(805\) | 8.72674 | − | 4.90617i | 0.307577 | − | 0.172920i | ||||
\(806\) | 0.991749 | + | 0.113777i | 0.0349329 | + | 0.00400762i | ||||
\(807\) | 15.9381 | − | 37.5128i | 0.561046 | − | 1.32051i | ||||
\(808\) | 0.497446 | + | 2.71937i | 0.0175001 | + | 0.0956671i | ||||
\(809\) | 11.6895 | 0.410980 | 0.205490 | − | 0.978659i | \(-0.434121\pi\) | ||||
0.205490 | + | 0.978659i | \(0.434121\pi\) | |||||||
\(810\) | −19.6040 | + | 7.67436i | −0.688814 | + | 0.269649i | ||||
\(811\) | 23.0355 | 0.808885 | 0.404443 | − | 0.914563i | \(-0.367466\pi\) | ||||
0.404443 | + | 0.914563i | \(0.367466\pi\) | |||||||
\(812\) | 32.1001 | + | 30.7232i | 1.12649 | + | 1.07817i | ||||
\(813\) | 32.3524 | + | 13.7456i | 1.13465 | + | 0.482078i | ||||
\(814\) | −27.3967 | − | 3.14305i | −0.960255 | − | 0.110164i | ||||
\(815\) | −5.84635 | + | 10.1262i | −0.204789 | + | 0.354705i | ||||
\(816\) | −9.94809 | − | 52.1368i | −0.348253 | − | 1.82515i | ||||
\(817\) | 19.1261 | − | 11.0425i | 0.669138 | − | 0.386327i | ||||
\(818\) | −9.21851 | − | 21.2463i | −0.322318 | − | 0.742859i | ||||
\(819\) | −7.81611 | + | 1.84857i | −0.273117 | + | 0.0645943i | ||||
\(820\) | −17.4821 | + | 18.6889i | −0.610503 | + | 0.652646i | ||||
\(821\) | 5.85488 | + | 10.1410i | 0.204337 | + | 0.353922i | 0.949921 | − | 0.312489i | \(-0.101163\pi\) |
−0.745584 | + | 0.666411i | \(0.767830\pi\) | |||||||
\(822\) | 4.77881 | − | 8.42464i | 0.166680 | − | 0.293843i | ||||
\(823\) | 30.7319 | + | 17.7431i | 1.07125 | + | 0.618484i | 0.928521 | − | 0.371279i | \(-0.121081\pi\) |
0.142724 | + | 0.989763i | \(0.454414\pi\) | |||||||
\(824\) | −23.9434 | − | 28.1669i | −0.834106 | − | 0.981239i | ||||
\(825\) | −11.5725 | − | 15.3679i | −0.402902 | − | 0.535041i | ||||
\(826\) | 7.37677 | + | 17.5485i | 0.256671 | + | 0.610591i | ||||
\(827\) | 28.8739i | 1.00405i | 0.864854 | + | 0.502023i | \(0.167411\pi\) | ||||
−0.864854 | + | 0.502023i | \(0.832589\pi\) | |||||||
\(828\) | −11.7812 | + | 7.04324i | −0.409425 | + | 0.244770i | ||||
\(829\) | 31.4981i | 1.09397i | 0.837141 | + | 0.546987i | \(0.184225\pi\) | ||||
−0.837141 | + | 0.546987i | \(0.815775\pi\) | |||||||
\(830\) | −3.36335 | + | 4.53793i | −0.116744 | + | 0.157514i | ||||
\(831\) | 3.97821 | + | 32.4897i | 0.138002 | + | 1.12706i | ||||
\(832\) | −2.86577 | − | 7.57100i | −0.0993528 | − | 0.262477i | ||||
\(833\) | 1.22657 | − | 53.6135i | 0.0424981 | − | 1.85760i | ||||
\(834\) | −23.7623 | + | 0.180943i | −0.822821 | + | 0.00626554i | ||||
\(835\) | −1.65767 | + | 0.957057i | −0.0573661 | + | 0.0331203i | ||||
\(836\) | 20.4291 | + | 19.1099i | 0.706555 | + | 0.660931i | ||||
\(837\) | −3.57948 | − | 0.570615i | −0.123725 | − | 0.0197233i | ||||
\(838\) | −27.0984 | + | 11.7577i | −0.936100 | + | 0.406162i | ||||
\(839\) | 7.70959 | + | 13.3534i | 0.266165 | + | 0.461011i | 0.967868 | − | 0.251458i | \(-0.0809102\pi\) |
−0.701703 | + | 0.712469i | \(0.747577\pi\) | |||||||
\(840\) | −6.15779 | − | 20.5356i | −0.212464 | − | 0.708544i | ||||
\(841\) | −20.7559 | + | 35.9503i | −0.715722 | + | 1.23967i | ||||
\(842\) | −0.866522 | + | 7.55314i | −0.0298623 | + | 0.260298i | ||||
\(843\) | −0.449285 | − | 3.66928i | −0.0154742 | − | 0.126377i | ||||
\(844\) | 0.760780 | − | 3.27207i | 0.0261871 | − | 0.112629i | ||||
\(845\) | 19.8090i | 0.681450i | ||||||||
\(846\) | −24.9840 | + | 19.1136i | −0.858969 | + | 0.657138i | ||||
\(847\) | 29.7369 | + | 17.6251i | 1.02177 | + | 0.605606i | ||||
\(848\) | 28.6410 | − | 19.1892i | 0.983536 | − | 0.658961i | ||||
\(849\) | 0.339584 | − | 0.255717i | 0.0116545 | − | 0.00877619i | ||||
\(850\) | −24.3705 | − | 2.79587i | −0.835901 | − | 0.0958975i | ||||
\(851\) | 7.87501 | + | 4.54664i | 0.269952 | + | 0.155857i | ||||
\(852\) | 3.45690 | + | 0.369941i | 0.118432 | + | 0.0126740i | ||||
\(853\) | 9.82218 | − | 5.67084i | 0.336305 | − | 0.194166i | −0.322332 | − | 0.946627i | \(-0.604467\pi\) |
0.658637 | + | 0.752461i | \(0.271133\pi\) | |||||||
\(854\) | −2.77654 | + | 21.9790i | −0.0950112 | + | 0.752107i | ||||
\(855\) | −3.41354 | − | 13.7301i | −0.116740 | − | 0.469558i | ||||
\(856\) | −2.74770 | − | 0.980232i | −0.0939144 | − | 0.0335036i | ||||
\(857\) | −0.268417 | + | 0.154971i | −0.00916895 | + | 0.00529370i | −0.504577 | − | 0.863366i | \(-0.668352\pi\) |
0.495409 | + | 0.868660i | \(0.335018\pi\) | |||||||
\(858\) | −6.15969 | − | 10.4837i | −0.210288 | − | 0.357908i | ||||
\(859\) | −9.88124 | + | 17.1148i | −0.337144 | + | 0.583950i | −0.983894 | − | 0.178752i | \(-0.942794\pi\) |
0.646751 | + | 0.762702i | \(0.276127\pi\) | |||||||
\(860\) | −7.45363 | − | 24.5161i | −0.254167 | − | 0.835991i | ||||
\(861\) | 28.5610 | − | 20.9998i | 0.973356 | − | 0.715670i | ||||
\(862\) | 0.479202 | − | 0.646552i | 0.0163217 | − | 0.0220216i | ||||
\(863\) | − | 23.9730i | − | 0.816051i | −0.912970 | − | 0.408026i | \(-0.866217\pi\) | ||
0.912970 | − | 0.408026i | \(-0.133783\pi\) | |||||||
\(864\) | 9.19035 | + | 27.9202i | 0.312662 | + | 0.949864i | ||||
\(865\) | −2.48955 | −0.0846472 | ||||||||
\(866\) | 24.5148 | − | 33.0761i | 0.833048 | − | 1.12397i | ||||
\(867\) | −66.4626 | − | 28.2380i | −2.25719 | − | 0.959011i | ||||
\(868\) | 0.876993 | − | 3.58549i | 0.0297671 | − | 0.121699i | ||||
\(869\) | −13.8995 | + | 24.0746i | −0.471507 | + | 0.816674i | ||||
\(870\) | 29.3332 | − | 17.2347i | 0.994490 | − | 0.584310i | ||||
\(871\) | −1.27705 | − | 2.21192i | −0.0432713 | − | 0.0749481i | ||||
\(872\) | −0.800598 | + | 2.24416i | −0.0271117 | + | 0.0759970i | ||||
\(873\) | 29.3687 | + | 8.44259i | 0.993979 | + | 0.285738i | ||||
\(874\) | −3.67161 | − | 8.46212i | −0.124194 | − | 0.286236i | ||||
\(875\) | −31.7872 | − | 0.363567i | −1.07460 | − | 0.0122908i | ||||
\(876\) | 20.3104 | + | 2.17352i | 0.686224 | + | 0.0734365i | ||||
\(877\) | 15.6916 | − | 27.1787i | 0.529868 | − | 0.917759i | −0.469524 | − | 0.882919i | \(-0.655575\pi\) |
0.999393 | − | 0.0348396i | \(-0.0110920\pi\) | |||||||
\(878\) | −0.219171 | + | 1.91043i | −0.00739667 | + | 0.0644739i | ||||
\(879\) | 11.6014 | + | 15.4063i | 0.391305 | + | 0.519641i | ||||
\(880\) | 26.9642 | − | 18.0658i | 0.908962 | − | 0.608997i | ||||
\(881\) | 2.85106i | 0.0960548i | 0.998846 | + | 0.0480274i | \(0.0152935\pi\) | ||||
−0.998846 | + | 0.0480274i | \(0.984707\pi\) | |||||||
\(882\) | 3.15925 | + | 29.5300i | 0.106378 | + | 0.994326i | ||||
\(883\) | 58.5844i | 1.97152i | 0.168153 | + | 0.985761i | \(0.446220\pi\) | ||||
−0.168153 | + | 0.985761i | \(0.553780\pi\) | |||||||
\(884\) | −15.1017 | − | 3.51125i | −0.507925 | − | 0.118096i | ||||
\(885\) | 14.4673 | − | 1.77145i | 0.486313 | − | 0.0595467i | ||||
\(886\) | −4.94356 | − | 0.567142i | −0.166082 | − | 0.0190535i | ||||
\(887\) | −11.7716 | + | 20.3891i | −0.395253 | + | 0.684598i | −0.993133 | − | 0.116987i | \(-0.962676\pi\) |
0.597881 | + | 0.801585i | \(0.296010\pi\) | |||||||
\(888\) | 13.1940 | − | 14.3218i | 0.442762 | − | 0.480610i | ||||
\(889\) | −47.3743 | − | 0.541845i | −1.58888 | − | 0.0181729i | ||||
\(890\) | 17.5906 | − | 7.63235i | 0.589638 | − | 0.255837i | ||||
\(891\) | 20.6754 | + | 39.0106i | 0.692652 | + | 1.30690i | ||||
\(892\) | 11.1762 | − | 11.9476i | 0.374205 | − | 0.400037i | ||||
\(893\) | −10.5700 | − | 18.3078i | −0.353711 | − | 0.612646i | ||||
\(894\) | 16.9919 | − | 0.129389i | 0.568295 | − | 0.00432740i | ||||
\(895\) | −1.05932 | + | 1.83479i | −0.0354091 | + | 0.0613304i | ||||
\(896\) | −29.1022 | + | 7.00444i | −0.972236 | + | 0.234002i | ||||
\(897\) | 0.487308 | + | 3.97981i | 0.0162707 | + | 0.132882i | ||||
\(898\) | −15.0852 | − | 11.1806i | −0.503399 | − | 0.373102i | ||||
\(899\) | 5.85758 | 0.195361 | ||||||||
\(900\) | 13.5831 | − | 0.206875i | 0.452771 | − | 0.00689584i | ||||
\(901\) | − | 66.0291i | − | 2.19975i | ||||||
\(902\) | 43.1171 | + | 31.9569i | 1.43564 | + | 1.06405i | ||||
\(903\) | 3.91086 | + | 35.2799i | 0.130145 | + | 1.17404i | ||||
\(904\) | −11.6934 | − | 13.7561i | −0.388917 | − | 0.457520i | ||||
\(905\) | −22.0156 | + | 38.1321i | −0.731822 | + | 1.26755i | ||||
\(906\) | −26.6931 | − | 15.1415i | −0.886820 | − | 0.503041i | ||||
\(907\) | −16.2312 | + | 9.37107i | −0.538947 | + | 0.311161i | −0.744652 | − | 0.667453i | \(-0.767385\pi\) |
0.205705 | + | 0.978614i | \(0.434051\pi\) | |||||||
\(908\) | −36.9067 | + | 39.4544i | −1.22479 | + | 1.30934i | ||||
\(909\) | −2.81806 | − | 0.810105i | −0.0934691 | − | 0.0268695i | ||||
\(910\) | −6.21317 | − | 0.784890i | −0.205965 | − | 0.0260189i | ||||
\(911\) | −27.7633 | + | 16.0291i | −0.919838 | + | 0.531069i | −0.883583 | − | 0.468274i | \(-0.844876\pi\) |
−0.0362544 | + | 0.999343i | \(0.511543\pi\) | |||||||
\(912\) | −19.4036 | + | 3.70234i | −0.642516 | + | 0.122597i | ||||
\(913\) | 10.2587 | + | 5.92286i | 0.339513 | + | 0.196018i | ||||
\(914\) | 3.78768 | − | 33.0158i | 0.125285 | − | 1.09206i | ||||
\(915\) | 15.6119 | + | 6.63303i | 0.516114 | + | 0.219281i | ||||
\(916\) | −5.45050 | + | 23.4423i | −0.180089 | + | 0.774555i | ||||
\(917\) | −22.8669 | − | 13.5532i | −0.755131 | − | 0.447567i | ||||
\(918\) | 54.2228 | + | 15.1413i | 1.78962 | + | 0.499739i | ||||
\(919\) | − | 40.9560i | − | 1.35101i | −0.737354 | − | 0.675507i | \(-0.763925\pi\) | ||
0.737354 | − | 0.675507i | \(-0.236075\pi\) | |||||||
\(920\) | −10.5279 | + | 1.92583i | −0.347093 | + | 0.0634927i | ||||
\(921\) | −37.2811 | − | 15.8396i | −1.22845 | − | 0.521932i | ||||
\(922\) | 21.7369 | + | 2.49373i | 0.715865 | + | 0.0821265i | ||||
\(923\) | 0.507783 | − | 0.879506i | 0.0167139 | − | 0.0289493i | ||||
\(924\) | −41.3140 | + | 17.7383i | −1.35913 | + | 0.583547i | ||||
\(925\) | −4.49983 | − | 7.79394i | −0.147954 | − | 0.256263i | ||||
\(926\) | 11.8327 | + | 27.2713i | 0.388846 | + | 0.896190i | ||||
\(927\) | 38.0524 | − | 9.46051i | 1.24981 | − | 0.310724i | ||||
\(928\) | −21.7697 | − | 42.2192i | −0.714625 | − | 1.38591i | ||||
\(929\) | −20.6442 | + | 11.9189i | −0.677314 | + | 0.391047i | −0.798842 | − | 0.601540i | \(-0.794554\pi\) |
0.121528 | + | 0.992588i | \(0.461221\pi\) | |||||||
\(930\) | −2.45830 | − | 1.39445i | −0.0806107 | − | 0.0457258i | ||||
\(931\) | −19.9531 | − | 0.456488i | −0.653937 | − | 0.0149608i | ||||
\(932\) | 7.54818 | + | 24.8270i | 0.247249 | + | 0.813237i | ||||
\(933\) | −42.4290 | + | 31.9503i | −1.38906 | + | 1.04601i | ||||
\(934\) | 33.6963 | + | 24.9745i | 1.10258 | + | 0.817191i | ||||
\(935\) | − | 62.1633i | − | 2.03296i | ||||||
\(936\) | 8.54425 | + | 0.848611i | 0.279277 | + | 0.0277377i | ||||
\(937\) | − | 28.7675i | − | 0.939794i | −0.882721 | − | 0.469897i | \(-0.844291\pi\) | ||
0.882721 | − | 0.469897i | \(-0.155709\pi\) | |||||||
\(938\) | −8.70623 | + | 3.65979i | −0.284269 | + | 0.119496i | ||||
\(939\) | −27.1108 | + | 3.31959i | −0.884728 | + | 0.108331i | ||||
\(940\) | −23.4671 | + | 7.13471i | −0.765412 | + | 0.232709i | ||||
\(941\) | −35.9743 | − | 20.7698i | −1.17273 | − | 0.677075i | −0.218407 | − | 0.975858i | \(-0.570086\pi\) |
−0.954321 | + | 0.298783i | \(0.903419\pi\) | |||||||
\(942\) | 0.0311465 | + | 4.09031i | 0.00101481 | + | 0.133270i | ||||
\(943\) | −8.84858 | − | 15.3262i | −0.288149 | − | 0.499089i | ||||
\(944\) | −1.35640 | − | 20.3050i | −0.0441472 | − | 0.660872i | ||||
\(945\) | 22.4135 | + | 3.83635i | 0.729110 | + | 0.124796i | ||||
\(946\) | −49.2976 | + | 21.3896i | −1.60280 | + | 0.695437i | ||||
\(947\) | 11.5666 | − | 6.67800i | 0.375865 | − | 0.217006i | −0.300152 | − | 0.953891i | \(-0.597038\pi\) |
0.676018 | + | 0.736885i | \(0.263704\pi\) | |||||||
\(948\) | −7.95037 | − | 17.9480i | −0.258216 | − | 0.582925i | ||||
\(949\) | 2.98338 | − | 5.16737i | 0.0968447 | − | 0.167740i | ||||
\(950\) | −1.04053 | + | 9.06987i | −0.0337592 | + | 0.294266i | ||||
\(951\) | −1.39506 | − | 11.3934i | −0.0452380 | − | 0.369455i | ||||
\(952\) | −19.8795 | + | 53.7732i | −0.644299 | + | 1.74280i | ||||
\(953\) | −6.70188 | −0.217095 | −0.108548 | − | 0.994091i | \(-0.534620\pi\) | ||||
−0.108548 | + | 0.994091i | \(0.534620\pi\) | |||||||
\(954\) | 4.72043 | + | 36.2604i | 0.152829 | + | 1.17397i | ||||
\(955\) | −14.2143 | −0.459963 | ||||||||
\(956\) | −2.95531 | + | 12.7106i | −0.0955815 | + | 0.411091i | ||||
\(957\) | −42.9199 | − | 56.9962i | −1.38740 | − | 1.84243i | ||||
\(958\) | 0.698063 | − | 6.08475i | 0.0225534 | − | 0.196589i | ||||
\(959\) | −9.11932 | + | 5.12688i | −0.294478 | + | 0.165556i | ||||
\(960\) | −0.914397 | + | 22.9009i | −0.0295120 | + | 0.739125i | ||||
\(961\) | 15.2567 | + | 26.4254i | 0.492152 | + | 0.852432i | ||||
\(962\) | −2.26414 | − | 5.21825i | −0.0729987 | − | 0.168243i | ||||
\(963\) | 2.22727 | − | 2.14798i | 0.0717729 | − | 0.0692175i | ||||
\(964\) | −33.7581 | − | 31.5782i | −1.08727 | − | 1.01707i | ||||
\(965\) | 10.9053 | − | 6.29620i | 0.351055 | − | 0.202682i | ||||
\(966\) | 14.8257 | + | 0.0566709i | 0.477009 | + | 0.00182336i | ||||
\(967\) | 18.7298 | + | 10.8137i | 0.602311 | + | 0.347744i | 0.769950 | − | 0.638104i | \(-0.220281\pi\) |
−0.167639 | + | 0.985848i | \(0.553614\pi\) | |||||||
\(968\) | −23.9344 | − | 28.1563i | −0.769280 | − | 0.904978i | ||||
\(969\) | −14.7944 | + | 34.8209i | −0.475263 | + | 1.11861i | ||||
\(970\) | 19.1424 | + | 14.1877i | 0.614626 | + | 0.455540i | ||||
\(971\) | −25.7885 | −0.827592 | −0.413796 | − | 0.910370i | \(-0.635797\pi\) | ||||
−0.413796 | + | 0.910370i | \(0.635797\pi\) | |||||||
\(972\) | −30.8593 | − | 4.43860i | −0.989814 | − | 0.142368i | ||||
\(973\) | 22.0800 | + | 13.0869i | 0.707853 | + | 0.419545i | ||||
\(974\) | 28.0514 | − | 37.8478i | 0.898826 | − | 1.21272i | ||||
\(975\) | 1.55174 | − | 3.65228i | 0.0496955 | − | 0.116966i | ||||
\(976\) | 10.4483 | − | 21.2540i | 0.334440 | − | 0.680325i | ||||
\(977\) | 18.8498 | − | 32.6488i | 0.603058 | − | 1.04453i | −0.389298 | − | 0.921112i | \(-0.627282\pi\) |
0.992355 | − | 0.123414i | \(-0.0393844\pi\) | |||||||
\(978\) | −14.9295 | + | 8.77183i | −0.477394 | + | 0.280492i | ||||
\(979\) | −20.1066 | − | 34.8257i | −0.642610 | − | 1.11303i | ||||
\(980\) | −5.75872 | + | 22.4292i | −0.183956 | + | 0.716475i | ||||
\(981\) | −1.75434 | − | 1.81911i | −0.0560119 | − | 0.0580797i | ||||
\(982\) | 18.1090 | + | 41.7365i | 0.577881 | + | 1.33187i | ||||
\(983\) | −23.1492 | − | 40.0956i | −0.738345 | − | 1.27885i | −0.953240 | − | 0.302214i | \(-0.902274\pi\) |
0.214895 | − | 0.976637i | \(-0.431059\pi\) | |||||||
\(984\) | −36.1741 | + | 11.2997i | −1.15319 | + | 0.360220i | ||||
\(985\) | −20.6195 | − | 11.9047i | −0.656992 | − | 0.379315i | ||||
\(986\) | −90.3850 | − | 10.3693i | −2.87844 | − | 0.330225i | ||||
\(987\) | 33.7704 | − | 3.74353i | 1.07492 | − | 0.119158i | ||||
\(988\) | −1.30677 | + | 5.62034i | −0.0415738 | + | 0.178807i | ||||
\(989\) | 17.7200 | 0.563463 | ||||||||
\(990\) | 4.44406 | + | 34.1375i | 0.141242 | + | 1.08496i | ||||
\(991\) | − | 12.6519i | − | 0.401900i | −0.979602 | − | 0.200950i | \(-0.935597\pi\) | ||
0.979602 | − | 0.200950i | \(-0.0644028\pi\) | |||||||
\(992\) | −2.13313 | + | 3.31979i | −0.0677270 | + | 0.105403i | ||||
\(993\) | 13.6814 | − | 1.67522i | 0.434166 | − | 0.0531615i | ||||
\(994\) | −2.99114 | − | 2.27038i | −0.0948731 | − | 0.0720122i | ||||
\(995\) | 31.3984 | + | 18.1279i | 0.995395 | + | 0.574692i | ||||
\(996\) | −7.64805 | + | 3.38783i | −0.242338 | + | 0.107347i | ||||
\(997\) | −12.9778 | + | 7.49276i | −0.411012 | + | 0.237298i | −0.691225 | − | 0.722640i | \(-0.742928\pi\) |
0.280212 | + | 0.959938i | \(0.409595\pi\) | |||||||
\(998\) | −19.2122 | − | 44.2792i | −0.608152 | − | 1.40163i | ||||
\(999\) | 7.38246 | + | 19.2898i | 0.233571 | + | 0.610302i |
(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 | 252.2.bi.c.139.10 | yes | 80 | |
3.2 | odd | 2 | 756.2.bi.c.307.32 | 80 | |||
4.3 | odd | 2 | inner | 252.2.bi.c.139.19 | yes | 80 | |
7.6 | odd | 2 | inner | 252.2.bi.c.139.9 | ✓ | 80 | |
9.2 | odd | 6 | 756.2.bi.c.559.21 | 80 | |||
9.7 | even | 3 | inner | 252.2.bi.c.223.20 | yes | 80 | |
12.11 | even | 2 | 756.2.bi.c.307.22 | 80 | |||
21.20 | even | 2 | 756.2.bi.c.307.31 | 80 | |||
28.27 | even | 2 | inner | 252.2.bi.c.139.20 | yes | 80 | |
36.7 | odd | 6 | inner | 252.2.bi.c.223.9 | yes | 80 | |
36.11 | even | 6 | 756.2.bi.c.559.31 | 80 | |||
63.20 | even | 6 | 756.2.bi.c.559.22 | 80 | |||
63.34 | odd | 6 | inner | 252.2.bi.c.223.19 | yes | 80 | |
84.83 | odd | 2 | 756.2.bi.c.307.21 | 80 | |||
252.83 | odd | 6 | 756.2.bi.c.559.32 | 80 | |||
252.223 | even | 6 | inner | 252.2.bi.c.223.10 | yes | 80 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
252.2.bi.c.139.9 | ✓ | 80 | 7.6 | odd | 2 | inner | |
252.2.bi.c.139.10 | yes | 80 | 1.1 | even | 1 | trivial | |
252.2.bi.c.139.19 | yes | 80 | 4.3 | odd | 2 | inner | |
252.2.bi.c.139.20 | yes | 80 | 28.27 | even | 2 | inner | |
252.2.bi.c.223.9 | yes | 80 | 36.7 | odd | 6 | inner | |
252.2.bi.c.223.10 | yes | 80 | 252.223 | even | 6 | inner | |
252.2.bi.c.223.19 | yes | 80 | 63.34 | odd | 6 | inner | |
252.2.bi.c.223.20 | yes | 80 | 9.7 | even | 3 | inner | |
756.2.bi.c.307.21 | 80 | 84.83 | odd | 2 | |||
756.2.bi.c.307.22 | 80 | 12.11 | even | 2 | |||
756.2.bi.c.307.31 | 80 | 21.20 | even | 2 | |||
756.2.bi.c.307.32 | 80 | 3.2 | odd | 2 | |||
756.2.bi.c.559.21 | 80 | 9.2 | odd | 6 | |||
756.2.bi.c.559.22 | 80 | 63.20 | even | 6 | |||
756.2.bi.c.559.31 | 80 | 36.11 | even | 6 | |||
756.2.bi.c.559.32 | 80 | 252.83 | odd | 6 |