Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [231,2,Mod(4,231)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(231, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([0, 20, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("231.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 231 = 3 \cdot 7 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 231.y (of order \(15\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.84454428669\) |
Analytic rank: | \(0\) |
Dimension: | \(64\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{15})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{15}]$ |
Embedding invariants
Embedding label | 25.1 | ||
Character | \(\chi\) | \(=\) | 231.25 |
Dual form | 231.2.y.a.37.1 |
$q$-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 \(\left(\mathbb{Z}/231\mathbb{Z}\right)^\times\).
\(n\) | \(155\) | \(199\) | \(211\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{4}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.50180 | − | 1.11387i | −1.76904 | − | 0.787628i | −0.986232 | − | 0.165368i | \(-0.947119\pi\) |
−0.782811 | − | 0.622260i | \(-0.786215\pi\) | |||||||
\(3\) | 0.978148 | + | 0.207912i | 0.564734 | + | 0.120038i | ||||
\(4\) | 3.68004 | + | 4.08710i | 1.84002 | + | 2.04355i | ||||
\(5\) | 0.150245 | − | 1.42949i | 0.0671916 | − | 0.639285i | −0.908159 | − | 0.418625i | \(-0.862512\pi\) |
0.975351 | − | 0.220660i | \(-0.0708212\pi\) | |||||||
\(6\) | −2.21555 | − | 1.60969i | −0.904493 | − | 0.657152i | ||||
\(7\) | −2.64282 | + | 0.124535i | −0.998892 | + | 0.0470698i | ||||
\(8\) | −2.96170 | − | 9.11518i | −1.04712 | − | 3.22270i | ||||
\(9\) | 0.913545 | + | 0.406737i | 0.304515 | + | 0.135579i | ||||
\(10\) | −1.96815 | + | 3.40894i | −0.622384 | + | 1.07800i | ||||
\(11\) | 3.31659 | + | 0.0152357i | 0.999989 | + | 0.00459373i | ||||
\(12\) | 2.74987 | + | 4.76291i | 0.793819 | + | 1.37493i | ||||
\(13\) | 3.24490 | − | 2.35756i | 0.899974 | − | 0.653870i | −0.0384850 | − | 0.999259i | \(-0.512253\pi\) |
0.938459 | + | 0.345389i | \(0.112253\pi\) | |||||||
\(14\) | 6.75053 | + | 2.63221i | 1.80416 | + | 0.703487i | ||||
\(15\) | 0.444168 | − | 1.36701i | 0.114684 | − | 0.352960i | ||||
\(16\) | −1.59381 | + | 15.1641i | −0.398453 | + | 3.79103i | ||||
\(17\) | 0.0162751 | − | 0.00724614i | 0.00394729 | − | 0.00175745i | −0.404762 | − | 0.914422i | \(-0.632646\pi\) |
0.408709 | + | 0.912665i | \(0.365979\pi\) | |||||||
\(18\) | −1.83246 | − | 2.03515i | −0.431914 | − | 0.479690i | ||||
\(19\) | 3.50447 | − | 3.89211i | 0.803981 | − | 0.892911i | −0.192099 | − | 0.981376i | \(-0.561529\pi\) |
0.996079 | + | 0.0884645i | \(0.0281960\pi\) | |||||||
\(20\) | 6.39536 | − | 4.64650i | 1.43005 | − | 1.03899i | ||||
\(21\) | −2.61096 | − | 0.427659i | −0.569758 | − | 0.0933229i | ||||
\(22\) | −8.28049 | − | 3.73238i | −1.76541 | − | 0.795747i | ||||
\(23\) | −2.96330 | − | 5.13258i | −0.617890 | − | 1.07022i | −0.989870 | − | 0.141976i | \(-0.954654\pi\) |
0.371980 | − | 0.928241i | \(-0.378679\pi\) | |||||||
\(24\) | −1.00183 | − | 9.53176i | −0.204497 | − | 1.94566i | ||||
\(25\) | 2.86988 | + | 0.610013i | 0.573977 | + | 0.122003i | ||||
\(26\) | −10.7441 | + | 2.28374i | −2.10710 | + | 0.447878i | ||||
\(27\) | 0.809017 | + | 0.587785i | 0.155695 | + | 0.113119i | ||||
\(28\) | −10.2347 | − | 10.3432i | −1.93417 | − | 1.95468i | ||||
\(29\) | −1.17725 | + | 3.62320i | −0.218610 | + | 0.672811i | 0.780268 | + | 0.625445i | \(0.215083\pi\) |
−0.998878 | + | 0.0473660i | \(0.984917\pi\) | |||||||
\(30\) | −2.63390 | + | 2.92524i | −0.480882 | + | 0.534074i | ||||
\(31\) | −0.833126 | − | 7.92666i | −0.149634 | − | 1.42367i | −0.769342 | − | 0.638838i | \(-0.779416\pi\) |
0.619708 | − | 0.784833i | \(-0.287251\pi\) | |||||||
\(32\) | 11.2941 | − | 19.5619i | 1.99653 | − | 3.45809i | ||||
\(33\) | 3.24095 | + | 0.704461i | 0.564176 | + | 0.122631i | ||||
\(34\) | −0.0487884 | −0.00836714 | ||||||||
\(35\) | −0.219049 | + | 3.79658i | −0.0370261 | + | 0.641739i | ||||
\(36\) | 1.69951 | + | 5.23056i | 0.283252 | + | 0.871760i | ||||
\(37\) | 2.05138 | − | 0.436034i | 0.337245 | − | 0.0716836i | −0.0361767 | − | 0.999345i | \(-0.511518\pi\) |
0.373421 | + | 0.927662i | \(0.378185\pi\) | |||||||
\(38\) | −13.1028 | + | 5.83375i | −2.12556 | + | 0.946360i | ||||
\(39\) | 3.66416 | − | 1.63139i | 0.586735 | − | 0.261231i | ||||
\(40\) | −13.4750 | + | 2.86420i | −2.13058 | + | 0.452869i | ||||
\(41\) | 0.291768 | + | 0.897968i | 0.0455664 | + | 0.140239i | 0.971251 | − | 0.238056i | \(-0.0765103\pi\) |
−0.925685 | + | 0.378296i | \(0.876510\pi\) | |||||||
\(42\) | 6.05575 | + | 3.97820i | 0.934422 | + | 0.613850i | ||||
\(43\) | −0.749457 | −0.114291 | −0.0571456 | − | 0.998366i | \(-0.518200\pi\) | ||||
−0.0571456 | + | 0.998366i | \(0.518200\pi\) | |||||||
\(44\) | 12.1429 | + | 13.6113i | 1.83061 | + | 2.05198i | ||||
\(45\) | 0.718680 | − | 1.24479i | 0.107134 | − | 0.185562i | ||||
\(46\) | 1.69654 | + | 16.1415i | 0.250140 | + | 2.37993i | ||||
\(47\) | −1.19873 | + | 1.33132i | −0.174852 | + | 0.194193i | −0.824200 | − | 0.566298i | \(-0.808375\pi\) |
0.649348 | + | 0.760491i | \(0.275042\pi\) | |||||||
\(48\) | −4.71178 | + | 14.5014i | −0.680087 | + | 2.09309i | ||||
\(49\) | 6.96898 | − | 0.658247i | 0.995569 | − | 0.0940353i | ||||
\(50\) | −6.50041 | − | 4.72282i | −0.919297 | − | 0.667908i | ||||
\(51\) | 0.0174260 | − | 0.00370401i | 0.00244013 | − | 0.000518665i | ||||
\(52\) | 21.5770 | + | 4.58633i | 2.99219 | + | 0.636009i | ||||
\(53\) | −0.000917016 | − | 0.00872482i | −0.000125962 | − | 0.00119845i | 0.994459 | − | 0.105128i | \(-0.0335251\pi\) |
−0.994585 | + | 0.103929i | \(0.966858\pi\) | |||||||
\(54\) | −1.36928 | − | 2.37167i | −0.186336 | − | 0.322743i | ||||
\(55\) | 0.520080 | − | 4.73873i | 0.0701276 | − | 0.638970i | ||||
\(56\) | 8.96240 | + | 23.7209i | 1.19765 | + | 3.16984i | ||||
\(57\) | 4.23710 | − | 3.07844i | 0.561218 | − | 0.407749i | ||||
\(58\) | 6.98104 | − | 7.75323i | 0.916655 | − | 1.01805i | ||||
\(59\) | −1.86664 | − | 2.07312i | −0.243016 | − | 0.269897i | 0.609281 | − | 0.792954i | \(-0.291458\pi\) |
−0.852298 | + | 0.523057i | \(0.824791\pi\) | |||||||
\(60\) | 7.22167 | − | 3.21529i | 0.932313 | − | 0.415093i | ||||
\(61\) | −1.30839 | + | 12.4485i | −0.167522 | + | 1.59386i | 0.511196 | + | 0.859464i | \(0.329202\pi\) |
−0.678718 | + | 0.734399i | \(0.737464\pi\) | |||||||
\(62\) | −6.74499 | + | 20.7589i | −0.856615 | + | 2.63639i | ||||
\(63\) | −2.46499 | − | 0.961163i | −0.310559 | − | 0.121095i | ||||
\(64\) | −25.3739 | + | 18.4352i | −3.17174 | + | 2.30440i | ||||
\(65\) | −2.88257 | − | 4.99275i | −0.357539 | − | 0.619275i | ||||
\(66\) | −7.32353 | − | 5.37243i | −0.901464 | − | 0.661301i | ||||
\(67\) | −4.91687 | + | 8.51627i | −0.600691 | + | 1.04043i | 0.392026 | + | 0.919954i | \(0.371774\pi\) |
−0.992717 | + | 0.120473i | \(0.961559\pi\) | |||||||
\(68\) | 0.0895088 | + | 0.0398519i | 0.0108545 | + | 0.00483275i | ||||
\(69\) | −1.83142 | − | 5.63653i | −0.220477 | − | 0.678558i | ||||
\(70\) | 4.77693 | − | 9.25431i | 0.570953 | − | 1.10610i | ||||
\(71\) | 3.82726 | + | 2.78067i | 0.454212 | + | 0.330005i | 0.791257 | − | 0.611484i | \(-0.209427\pi\) |
−0.337044 | + | 0.941489i | \(0.609427\pi\) | |||||||
\(72\) | 1.00183 | − | 9.53176i | 0.118067 | − | 1.12333i | ||||
\(73\) | −2.25789 | − | 2.50764i | −0.264266 | − | 0.293497i | 0.596379 | − | 0.802703i | \(-0.296606\pi\) |
−0.860644 | + | 0.509206i | \(0.829939\pi\) | |||||||
\(74\) | −5.61783 | − | 1.19411i | −0.653060 | − | 0.138812i | ||||
\(75\) | 2.68034 | + | 1.19336i | 0.309499 | + | 0.137798i | ||||
\(76\) | 28.8041 | 3.30405 | ||||||||
\(77\) | −8.76704 | + | 0.372766i | −0.999097 | + | 0.0424807i | ||||
\(78\) | −10.9842 | −1.24371 | ||||||||
\(79\) | −13.4173 | − | 5.97376i | −1.50956 | − | 0.672101i | −0.525642 | − | 0.850706i | \(-0.676175\pi\) |
−0.983921 | + | 0.178605i | \(0.942841\pi\) | |||||||
\(80\) | 21.4374 | + | 4.55667i | 2.39678 | + | 0.509451i | ||||
\(81\) | 0.669131 | + | 0.743145i | 0.0743478 | + | 0.0825716i | ||||
\(82\) | 0.270279 | − | 2.57153i | 0.0298473 | − | 0.283978i | ||||
\(83\) | 13.3219 | + | 9.67889i | 1.46226 | + | 1.06240i | 0.982766 | + | 0.184853i | \(0.0591808\pi\) |
0.479497 | + | 0.877544i | \(0.340819\pi\) | |||||||
\(84\) | −7.86056 | − | 12.2451i | −0.857657 | − | 1.33605i | ||||
\(85\) | −0.00791300 | − | 0.0243537i | −0.000858285 | − | 0.00264153i | ||||
\(86\) | 1.87499 | + | 0.834802i | 0.202186 | + | 0.0900190i | ||||
\(87\) | −1.90483 | + | 3.29926i | −0.204219 | + | 0.353718i | ||||
\(88\) | −9.68387 | − | 30.2764i | −1.03230 | − | 3.22748i | ||||
\(89\) | 2.27619 | + | 3.94248i | 0.241276 | + | 0.417902i | 0.961078 | − | 0.276277i | \(-0.0891008\pi\) |
−0.719802 | + | 0.694179i | \(0.755767\pi\) | |||||||
\(90\) | −3.18453 | + | 2.31370i | −0.335679 | + | 0.243885i | ||||
\(91\) | −8.28209 | + | 6.63471i | −0.868199 | + | 0.695507i | ||||
\(92\) | 10.0723 | − | 30.9994i | 1.05011 | − | 3.23191i | ||||
\(93\) | 0.833126 | − | 7.92666i | 0.0863911 | − | 0.821956i | ||||
\(94\) | 4.48190 | − | 1.99547i | 0.462273 | − | 0.205817i | ||||
\(95\) | −5.03718 | − | 5.59436i | −0.516804 | − | 0.573969i | ||||
\(96\) | 15.1144 | − | 16.7863i | 1.54261 | − | 1.71324i | ||||
\(97\) | −2.86133 | + | 2.07888i | −0.290524 | + | 0.211078i | −0.723495 | − | 0.690330i | \(-0.757465\pi\) |
0.432971 | + | 0.901408i | \(0.357465\pi\) | |||||||
\(98\) | −18.1682 | − | 6.11577i | −1.83527 | − | 0.617786i | ||||
\(99\) | 3.02366 | + | 1.36290i | 0.303889 | + | 0.136976i | ||||
\(100\) | 8.06811 | + | 13.9744i | 0.806811 | + | 1.39744i | ||||
\(101\) | 1.46594 | + | 13.9475i | 0.145867 | + | 1.38783i | 0.785364 | + | 0.619034i | \(0.212476\pi\) |
−0.639497 | + | 0.768793i | \(0.720857\pi\) | |||||||
\(102\) | −0.0477223 | − | 0.0101437i | −0.00472521 | − | 0.00100437i | ||||
\(103\) | −1.22019 | + | 0.259360i | −0.120229 | + | 0.0255555i | −0.267633 | − | 0.963521i | \(-0.586242\pi\) |
0.147404 | + | 0.989076i | \(0.452908\pi\) | |||||||
\(104\) | −31.1000 | − | 22.5955i | −3.04961 | − | 2.21567i | ||||
\(105\) | −1.00362 | + | 3.66807i | −0.0979429 | + | 0.357967i | ||||
\(106\) | −0.00742416 | + | 0.0228492i | −0.000721099 | + | 0.00221931i | ||||
\(107\) | −5.01975 | + | 5.57499i | −0.485277 | + | 0.538955i | −0.935203 | − | 0.354111i | \(-0.884784\pi\) |
0.449926 | + | 0.893066i | \(0.351450\pi\) | |||||||
\(108\) | 0.574879 | + | 5.46961i | 0.0553178 | + | 0.526314i | ||||
\(109\) | 0.591490 | − | 1.02449i | 0.0566545 | − | 0.0981284i | −0.836307 | − | 0.548261i | \(-0.815290\pi\) |
0.892962 | + | 0.450133i | \(0.148623\pi\) | |||||||
\(110\) | −6.57949 | + | 11.2761i | −0.627329 | + | 1.07513i | ||||
\(111\) | 2.09721 | 0.199058 | ||||||||
\(112\) | 2.32370 | − | 40.2745i | 0.219569 | − | 3.80558i | ||||
\(113\) | 0.751424 | + | 2.31264i | 0.0706880 | + | 0.217555i | 0.980159 | − | 0.198211i | \(-0.0635133\pi\) |
−0.909471 | + | 0.415767i | \(0.863513\pi\) | |||||||
\(114\) | −14.0294 | + | 2.98204i | −1.31397 | + | 0.279294i | ||||
\(115\) | −7.78217 | + | 3.46485i | −0.725691 | + | 0.323098i | ||||
\(116\) | −19.1407 | + | 8.52200i | −1.77717 | + | 0.791248i | ||||
\(117\) | 3.92327 | − | 0.833918i | 0.362707 | − | 0.0770957i | ||||
\(118\) | 2.36078 | + | 7.26574i | 0.217328 | + | 0.668866i | ||||
\(119\) | −0.0421097 | + | 0.0211771i | −0.00386019 | + | 0.00194130i | ||||
\(120\) | −13.7760 | −1.25757 | ||||||||
\(121\) | 10.9995 | + | 0.101061i | 0.999958 | + | 0.00918736i | ||||
\(122\) | 17.1394 | − | 29.6862i | 1.55172 | − | 2.68767i | ||||
\(123\) | 0.0986937 | + | 0.939007i | 0.00889891 | + | 0.0846674i | ||||
\(124\) | 29.3311 | − | 32.5755i | 2.63401 | − | 2.92537i | ||||
\(125\) | 3.52403 | − | 10.8459i | 0.315199 | − | 0.970083i | ||||
\(126\) | 5.09630 | + | 5.15033i | 0.454015 | + | 0.458828i | ||||
\(127\) | 11.6971 | + | 8.49848i | 1.03795 | + | 0.754118i | 0.969885 | − | 0.243563i | \(-0.0783162\pi\) |
0.0680690 | + | 0.997681i | \(0.478316\pi\) | |||||||
\(128\) | 39.8259 | − | 8.46525i | 3.52014 | − | 0.748230i | ||||
\(129\) | −0.733080 | − | 0.155821i | −0.0645441 | − | 0.0137193i | ||||
\(130\) | 1.65032 | + | 15.7017i | 0.144742 | + | 1.37713i | ||||
\(131\) | −0.135061 | − | 0.233933i | −0.0118004 | − | 0.0204388i | 0.860065 | − | 0.510185i | \(-0.170423\pi\) |
−0.871865 | + | 0.489746i | \(0.837090\pi\) | |||||||
\(132\) | 9.04762 | + | 15.8385i | 0.787495 | + | 1.37857i | ||||
\(133\) | −8.77698 | + | 10.7226i | −0.761061 | + | 0.929765i | ||||
\(134\) | 21.7871 | − | 15.8292i | 1.88212 | − | 1.36744i | ||||
\(135\) | 0.961781 | − | 1.06817i | 0.0827769 | − | 0.0919331i | ||||
\(136\) | −0.114252 | − | 0.126890i | −0.00979701 | − | 0.0108807i | ||||
\(137\) | −12.6316 | + | 5.62397i | −1.07919 | + | 0.480488i | −0.867801 | − | 0.496913i | \(-0.834467\pi\) |
−0.211394 | + | 0.977401i | \(0.567800\pi\) | |||||||
\(138\) | −1.69654 | + | 16.1415i | −0.144419 | + | 1.37405i | ||||
\(139\) | 1.99593 | − | 6.14283i | 0.169292 | − | 0.521028i | −0.830035 | − | 0.557712i | \(-0.811679\pi\) |
0.999327 | + | 0.0366836i | \(0.0116794\pi\) | |||||||
\(140\) | −16.3231 | + | 13.0763i | −1.37956 | + | 1.10515i | ||||
\(141\) | −1.44933 | + | 1.05300i | −0.122055 | + | 0.0886785i | ||||
\(142\) | −6.47774 | − | 11.2198i | −0.543600 | − | 0.941543i | ||||
\(143\) | 10.7979 | − | 7.76962i | 0.902969 | − | 0.649729i | ||||
\(144\) | −7.62383 | + | 13.2049i | −0.635319 | + | 1.10040i | ||||
\(145\) | 5.00244 | + | 2.22723i | 0.415430 | + | 0.184961i | ||||
\(146\) | 2.85560 | + | 8.78862i | 0.236331 | + | 0.727351i | ||||
\(147\) | 6.95355 | + | 0.805070i | 0.573519 | + | 0.0664011i | ||||
\(148\) | 9.33128 | + | 6.77957i | 0.767027 | + | 0.557277i | ||||
\(149\) | −0.922823 | + | 8.78007i | −0.0756006 | + | 0.719292i | 0.889415 | + | 0.457100i | \(0.151112\pi\) |
−0.965016 | + | 0.262192i | \(0.915555\pi\) | |||||||
\(150\) | −5.37643 | − | 5.97113i | −0.438984 | − | 0.487541i | ||||
\(151\) | −13.2786 | − | 2.82246i | −1.08060 | − | 0.229688i | −0.366984 | − | 0.930227i | \(-0.619610\pi\) |
−0.713614 | + | 0.700539i | \(0.752943\pi\) | |||||||
\(152\) | −45.8565 | − | 20.4166i | −3.71945 | − | 1.65601i | ||||
\(153\) | 0.0178153 | 0.00144028 | ||||||||
\(154\) | 22.3486 | + | 8.83280i | 1.80090 | + | 0.711767i | ||||
\(155\) | −11.4562 | −0.920185 | ||||||||
\(156\) | 20.1519 | + | 8.97221i | 1.61345 | + | 0.718352i | ||||
\(157\) | −4.79119 | − | 1.01840i | −0.382378 | − | 0.0812770i | 0.0127123 | − | 0.999919i | \(-0.495953\pi\) |
−0.395091 | + | 0.918642i | \(0.629287\pi\) | |||||||
\(158\) | 26.9134 | + | 29.8904i | 2.14111 | + | 2.37795i | ||||
\(159\) | 0.000917016 | − | 0.00872482i | 7.27241e−5 | − | 0.000691923i | ||||
\(160\) | −26.2666 | − | 19.0838i | −2.07656 | − | 1.50871i | ||||
\(161\) | 8.47064 | + | 13.1954i | 0.667580 | + | 1.03995i | ||||
\(162\) | −0.846263 | − | 2.60453i | −0.0664887 | − | 0.204631i | ||||
\(163\) | −15.4563 | − | 6.88161i | −1.21063 | − | 0.539009i | −0.300683 | − | 0.953724i | \(-0.597215\pi\) |
−0.909951 | + | 0.414715i | \(0.863881\pi\) | |||||||
\(164\) | −2.59637 | + | 4.49705i | −0.202743 | + | 0.351160i | ||||
\(165\) | 1.49395 | − | 4.52704i | 0.116304 | − | 0.352430i | ||||
\(166\) | −22.5476 | − | 39.0536i | −1.75003 | − | 3.03114i | ||||
\(167\) | −5.33928 | + | 3.87922i | −0.413166 | + | 0.300183i | −0.774882 | − | 0.632105i | \(-0.782191\pi\) |
0.361716 | + | 0.932288i | \(0.382191\pi\) | |||||||
\(168\) | 3.83469 | + | 25.0660i | 0.295853 | + | 1.93388i | ||||
\(169\) | 0.954089 | − | 2.93638i | 0.0733915 | − | 0.225876i | ||||
\(170\) | −0.00733021 | + | 0.0697423i | −0.000562201 | + | 0.00534899i | ||||
\(171\) | 4.78456 | − | 2.13022i | 0.365884 | − | 0.162902i | ||||
\(172\) | −2.75804 | − | 3.06311i | −0.210298 | − | 0.233560i | ||||
\(173\) | 17.4395 | − | 19.3685i | 1.32590 | − | 1.47256i | 0.562168 | − | 0.827023i | \(-0.309967\pi\) |
0.763730 | − | 0.645536i | \(-0.223366\pi\) | |||||||
\(174\) | 8.44047 | − | 6.13236i | 0.639871 | − | 0.464893i | ||||
\(175\) | −7.66055 | − | 1.25475i | −0.579083 | − | 0.0948503i | ||||
\(176\) | −5.51706 | + | 50.2689i | −0.415864 | + | 3.78916i | ||||
\(177\) | −1.39483 | − | 2.41591i | −0.104842 | − | 0.181591i | ||||
\(178\) | −1.30316 | − | 12.3987i | −0.0976757 | − | 0.929322i | ||||
\(179\) | −9.01918 | − | 1.91709i | −0.674125 | − | 0.143290i | −0.141885 | − | 0.989883i | \(-0.545316\pi\) |
−0.532240 | + | 0.846593i | \(0.678650\pi\) | |||||||
\(180\) | 7.73236 | − | 1.64356i | 0.576336 | − | 0.122504i | ||||
\(181\) | −7.58362 | − | 5.50982i | −0.563686 | − | 0.409542i | 0.269120 | − | 0.963107i | \(-0.413267\pi\) |
−0.832806 | + | 0.553565i | \(0.813267\pi\) | |||||||
\(182\) | 28.1104 | − | 7.37353i | 2.08368 | − | 0.546562i | ||||
\(183\) | −3.86798 | + | 11.9044i | −0.285929 | + | 0.879999i | ||||
\(184\) | −38.0080 | + | 42.2121i | −2.80199 | + | 3.11192i | ||||
\(185\) | −0.315095 | − | 2.99793i | −0.0231662 | − | 0.220412i | ||||
\(186\) | −10.9136 | + | 18.9030i | −0.800226 | + | 1.38603i | ||||
\(187\) | 0.0540882 | − | 0.0237845i | 0.00395532 | − | 0.00173930i | ||||
\(188\) | −9.85261 | −0.718575 | ||||||||
\(189\) | −2.21129 | − | 1.45266i | −0.160847 | − | 0.105665i | ||||
\(190\) | 6.37063 | + | 19.6068i | 0.462174 | + | 1.42243i | ||||
\(191\) | −5.68365 | + | 1.20810i | −0.411254 | + | 0.0874148i | −0.408893 | − | 0.912582i | \(-0.634085\pi\) |
−0.00236151 | + | 0.999997i | \(0.500752\pi\) | |||||||
\(192\) | −28.6523 | + | 12.7568i | −2.06780 | + | 0.920645i | ||||
\(193\) | 12.6860 | − | 5.64819i | 0.913161 | − | 0.406566i | 0.104287 | − | 0.994547i | \(-0.466744\pi\) |
0.808874 | + | 0.587982i | \(0.200077\pi\) | |||||||
\(194\) | 9.47410 | − | 2.01378i | 0.680201 | − | 0.144581i | ||||
\(195\) | −1.78152 | − | 5.48297i | −0.127578 | − | 0.392644i | ||||
\(196\) | 28.3365 | + | 26.0606i | 2.02403 | + | 1.86147i | ||||
\(197\) | −3.25404 | −0.231841 | −0.115920 | − | 0.993259i | \(-0.536982\pi\) | ||||
−0.115920 | + | 0.993259i | \(0.536982\pi\) | |||||||
\(198\) | −6.04650 | − | 6.77768i | −0.429706 | − | 0.481669i | ||||
\(199\) | −7.16681 | + | 12.4133i | −0.508042 | + | 0.879954i | 0.491915 | + | 0.870643i | \(0.336297\pi\) |
−0.999957 | + | 0.00931074i | \(0.997036\pi\) | |||||||
\(200\) | −2.93936 | − | 27.9662i | −0.207844 | − | 1.97751i | ||||
\(201\) | −6.58005 | + | 7.30789i | −0.464121 | + | 0.515459i | ||||
\(202\) | 11.8683 | − | 36.5268i | 0.835048 | − | 2.57001i | ||||
\(203\) | 2.66004 | − | 9.72207i | 0.186698 | − | 0.682356i | ||||
\(204\) | 0.0792671 | + | 0.0575910i | 0.00554981 | + | 0.00403217i | ||||
\(205\) | 1.32747 | − | 0.282162i | 0.0927145 | − | 0.0197071i | ||||
\(206\) | 3.34158 | + | 0.710274i | 0.232819 | + | 0.0494871i | ||||
\(207\) | −0.619498 | − | 5.89413i | −0.0430581 | − | 0.409670i | ||||
\(208\) | 30.5786 | + | 52.9636i | 2.12024 | + | 3.67237i | ||||
\(209\) | 11.6822 | − | 12.8551i | 0.808074 | − | 0.889208i | ||||
\(210\) | 6.59663 | − | 8.05890i | 0.455210 | − | 0.556117i | ||||
\(211\) | −8.63529 | + | 6.27391i | −0.594478 | + | 0.431914i | −0.843915 | − | 0.536478i | \(-0.819755\pi\) |
0.249436 | + | 0.968391i | \(0.419755\pi\) | |||||||
\(212\) | 0.0322846 | − | 0.0358557i | 0.00221731 | − | 0.00246258i | ||||
\(213\) | 3.16549 | + | 3.51564i | 0.216896 | + | 0.240887i | ||||
\(214\) | 18.7683 | − | 8.35617i | 1.28297 | − | 0.571216i | ||||
\(215\) | −0.112602 | + | 1.07134i | −0.00767940 | + | 0.0730646i | ||||
\(216\) | 2.96170 | − | 9.11518i | 0.201518 | − | 0.620209i | ||||
\(217\) | 3.18895 | + | 20.8450i | 0.216480 | + | 1.41505i | ||||
\(218\) | −2.62095 | + | 1.90423i | −0.177513 | + | 0.128971i | ||||
\(219\) | −1.68718 | − | 2.92228i | −0.114009 | − | 0.197469i | ||||
\(220\) | 21.2816 | − | 15.3131i | 1.43480 | − | 1.03241i | ||||
\(221\) | 0.0357279 | − | 0.0618826i | 0.00240332 | − | 0.00416267i | ||||
\(222\) | −5.24680 | − | 2.33603i | −0.352142 | − | 0.156784i | ||||
\(223\) | 1.18867 | + | 3.65834i | 0.0795989 | + | 0.244980i | 0.982935 | − | 0.183953i | \(-0.0588895\pi\) |
−0.903336 | + | 0.428933i | \(0.858889\pi\) | |||||||
\(224\) | −27.4121 | + | 53.1051i | −1.83155 | + | 3.54824i | ||||
\(225\) | 2.37365 | + | 1.72456i | 0.158244 | + | 0.114971i | ||||
\(226\) | 0.696082 | − | 6.62277i | 0.0463027 | − | 0.440540i | ||||
\(227\) | −1.04982 | − | 1.16594i | −0.0696788 | − | 0.0773862i | 0.707297 | − | 0.706916i | \(-0.249914\pi\) |
−0.776976 | + | 0.629530i | \(0.783248\pi\) | |||||||
\(228\) | 28.1746 | + | 5.98870i | 1.86591 | + | 0.396611i | ||||
\(229\) | 22.9301 | + | 10.2091i | 1.51526 | + | 0.674638i | 0.984899 | − | 0.173133i | \(-0.0553889\pi\) |
0.530363 | + | 0.847771i | \(0.322056\pi\) | |||||||
\(230\) | 23.3289 | 1.53826 | ||||||||
\(231\) | −8.65296 | − | 1.45815i | −0.569323 | − | 0.0959392i | ||||
\(232\) | 36.5128 | 2.39718 | ||||||||
\(233\) | −1.59624 | − | 0.710691i | −0.104573 | − | 0.0465589i | 0.353783 | − | 0.935327i | \(-0.384895\pi\) |
−0.458356 | + | 0.888768i | \(0.651562\pi\) | |||||||
\(234\) | −10.7441 | − | 2.28374i | −0.702366 | − | 0.149293i | ||||
\(235\) | 1.72300 | + | 1.91359i | 0.112396 | + | 0.124829i | ||||
\(236\) | 1.60372 | − | 15.2583i | 0.104393 | − | 0.993233i | ||||
\(237\) | −11.8821 | − | 8.63283i | −0.771823 | − | 0.560763i | ||||
\(238\) | 0.128939 | − | 0.00607586i | 0.00835787 | − | 0.000393840i | ||||
\(239\) | −6.33202 | − | 19.4880i | −0.409585 | − | 1.26057i | −0.917006 | − | 0.398874i | \(-0.869401\pi\) |
0.507421 | − | 0.861698i | \(-0.330599\pi\) | |||||||
\(240\) | 20.0216 | + | 8.91418i | 1.29239 | + | 0.575408i | ||||
\(241\) | 10.8569 | − | 18.8047i | 0.699356 | − | 1.21132i | −0.269334 | − | 0.963047i | \(-0.586804\pi\) |
0.968690 | − | 0.248273i | \(-0.0798631\pi\) | |||||||
\(242\) | −27.4061 | − | 12.5049i | −1.76173 | − | 0.803848i | ||||
\(243\) | 0.500000 | + | 0.866025i | 0.0320750 | + | 0.0555556i | ||||
\(244\) | −55.6931 | + | 40.4634i | −3.56538 | + | 2.59040i | ||||
\(245\) | 0.106100 | − | 10.0610i | 0.00677849 | − | 0.642771i | ||||
\(246\) | 0.799025 | − | 2.45914i | 0.0509439 | − | 0.156789i | ||||
\(247\) | 2.19579 | − | 20.8915i | 0.139715 | − | 1.32930i | ||||
\(248\) | −69.7854 | + | 31.0705i | −4.43138 | + | 1.97298i | ||||
\(249\) | 11.0184 | + | 12.2372i | 0.698262 | + | 0.775498i | ||||
\(250\) | −20.8974 | + | 23.2089i | −1.32167 | + | 1.46786i | ||||
\(251\) | 18.9971 | − | 13.8022i | 1.19909 | − | 0.871187i | 0.204891 | − | 0.978785i | \(-0.434316\pi\) |
0.994195 | + | 0.107598i | \(0.0343159\pi\) | |||||||
\(252\) | −5.14289 | − | 13.6118i | −0.323972 | − | 0.857462i | ||||
\(253\) | −9.74984 | − | 17.0678i | −0.612967 | − | 1.07304i | ||||
\(254\) | −19.7977 | − | 34.2907i | −1.24222 | − | 2.15159i | ||||
\(255\) | −0.00267666 | − | 0.0254667i | −0.000167619 | − | 0.00159479i | ||||
\(256\) | −47.7088 | − | 10.1408i | −2.98180 | − | 0.633802i | ||||
\(257\) | 17.3576 | − | 3.68947i | 1.08274 | − | 0.230143i | 0.368204 | − | 0.929745i | \(-0.379973\pi\) |
0.714532 | + | 0.699603i | \(0.246640\pi\) | |||||||
\(258\) | 1.66046 | + | 1.20639i | 0.103376 | + | 0.0751067i | ||||
\(259\) | −5.36712 | + | 1.40783i | −0.333497 | + | 0.0874781i | ||||
\(260\) | 9.79792 | − | 30.1549i | 0.607641 | − | 1.87013i | ||||
\(261\) | −2.54916 | + | 2.83113i | −0.157789 | + | 0.175242i | ||||
\(262\) | 0.0773248 | + | 0.735697i | 0.00477714 | + | 0.0454515i | ||||
\(263\) | −6.31971 | + | 10.9461i | −0.389690 | + | 0.674963i | −0.992408 | − | 0.122991i | \(-0.960751\pi\) |
0.602718 | + | 0.797955i | \(0.294085\pi\) | |||||||
\(264\) | −3.17743 | − | 31.6282i | −0.195557 | − | 1.94658i | ||||
\(265\) | −0.0126098 | −0.000774612 | ||||||||
\(266\) | 33.9019 | − | 17.0493i | 2.07866 | − | 1.04536i | ||||
\(267\) | 1.40676 | + | 4.32957i | 0.0860926 | + | 0.264966i | ||||
\(268\) | −52.9011 | + | 11.2445i | −3.23145 | + | 0.686866i | ||||
\(269\) | 12.1306 | − | 5.40087i | 0.739613 | − | 0.329297i | −0.00211485 | − | 0.999998i | \(-0.500673\pi\) |
0.741728 | + | 0.670701i | \(0.234007\pi\) | |||||||
\(270\) | −3.59599 | + | 1.60104i | −0.218845 | + | 0.0974361i | ||||
\(271\) | −12.9564 | + | 2.75398i | −0.787048 | + | 0.167292i | −0.583867 | − | 0.811849i | \(-0.698461\pi\) |
−0.203180 | + | 0.979141i | \(0.565128\pi\) | |||||||
\(272\) | 0.0839419 | + | 0.258347i | 0.00508973 | + | 0.0156646i | ||||
\(273\) | −9.48055 | + | 4.76778i | −0.573789 | + | 0.288559i | ||||
\(274\) | 37.8663 | 2.28759 | ||||||||
\(275\) | 9.50893 | + | 2.06689i | 0.573410 | + | 0.124638i | ||||
\(276\) | 16.2974 | − | 28.2279i | 0.980986 | − | 1.69912i | ||||
\(277\) | −0.871150 | − | 8.28844i | −0.0523423 | − | 0.498004i | −0.989017 | − | 0.147803i | \(-0.952780\pi\) |
0.936675 | − | 0.350201i | \(-0.113887\pi\) | |||||||
\(278\) | −11.8358 | + | 13.1450i | −0.709862 | + | 0.788382i | ||||
\(279\) | 2.46297 | − | 7.58023i | 0.147454 | − | 0.453816i | ||||
\(280\) | 35.2553 | − | 9.24766i | 2.10690 | − | 0.552654i | ||||
\(281\) | 3.98530 | + | 2.89549i | 0.237743 | + | 0.172730i | 0.700277 | − | 0.713871i | \(-0.253060\pi\) |
−0.462534 | + | 0.886601i | \(0.653060\pi\) | |||||||
\(282\) | 4.79884 | − | 1.02003i | 0.285767 | − | 0.0607417i | ||||
\(283\) | 30.1075 | + | 6.39954i | 1.78970 | + | 0.380413i | 0.978808 | − | 0.204779i | \(-0.0656477\pi\) |
0.810894 | + | 0.585192i | \(0.198981\pi\) | |||||||
\(284\) | 2.71961 | + | 25.8754i | 0.161379 | + | 1.53542i | ||||
\(285\) | −3.76398 | − | 6.51940i | −0.222959 | − | 0.386176i | ||||
\(286\) | −35.6687 | + | 7.41053i | −2.10913 | + | 0.438194i | ||||
\(287\) | −0.882917 | − | 2.33683i | −0.0521170 | − | 0.137939i | ||||
\(288\) | 18.2742 | − | 13.2770i | 1.07682 | − | 0.782354i | ||||
\(289\) | −11.3750 | + | 12.6332i | −0.669118 | + | 0.743131i | ||||
\(290\) | −10.0343 | − | 11.1442i | −0.589232 | − | 0.654408i | ||||
\(291\) | −3.23103 | + | 1.43855i | −0.189406 | + | 0.0843290i | ||||
\(292\) | 1.93985 | − | 18.4564i | 0.113521 | − | 1.08008i | ||||
\(293\) | −2.45439 | + | 7.55385i | −0.143387 | + | 0.441300i | −0.996800 | − | 0.0799351i | \(-0.974529\pi\) |
0.853413 | + | 0.521236i | \(0.174529\pi\) | |||||||
\(294\) | −16.4997 | − | 9.75951i | −0.962280 | − | 0.569186i | ||||
\(295\) | −3.24395 | + | 2.35686i | −0.188870 | + | 0.137222i | ||||
\(296\) | −10.0501 | − | 17.4073i | −0.584150 | − | 1.01178i | ||||
\(297\) | 2.67422 | + | 1.96177i | 0.155174 | + | 0.113833i | ||||
\(298\) | 12.0886 | − | 20.9381i | 0.700275 | − | 1.21291i | ||||
\(299\) | −21.7160 | − | 9.66858i | −1.25587 | − | 0.559149i | ||||
\(300\) | 4.98637 | + | 15.3465i | 0.287888 | + | 0.886029i | ||||
\(301\) | 1.98068 | − | 0.0933337i | 0.114164 | − | 0.00537966i | ||||
\(302\) | 30.0766 | + | 21.8519i | 1.73071 | + | 1.25744i | ||||
\(303\) | −1.46594 | + | 13.9475i | −0.0842161 | + | 0.801263i | ||||
\(304\) | 53.4350 | + | 59.3455i | 3.06471 | + | 3.40370i | ||||
\(305\) | 17.5983 | + | 3.74064i | 1.00768 | + | 0.214188i | ||||
\(306\) | −0.0445704 | − | 0.0198440i | −0.00254792 | − | 0.00113441i | ||||
\(307\) | −8.09186 | −0.461827 | −0.230913 | − | 0.972974i | \(-0.574171\pi\) | ||||
−0.230913 | + | 0.972974i | \(0.574171\pi\) | |||||||
\(308\) | −33.7866 | − | 34.4600i | −1.92517 | − | 1.96354i | ||||
\(309\) | −1.24745 | −0.0709651 | ||||||||
\(310\) | 28.6612 | + | 12.7608i | 1.62785 | + | 0.724764i | ||||
\(311\) | −15.3787 | − | 3.26884i | −0.872046 | − | 0.185359i | −0.249911 | − | 0.968269i | \(-0.580401\pi\) |
−0.622135 | + | 0.782910i | \(0.713735\pi\) | |||||||
\(312\) | −25.7225 | − | 28.5678i | −1.45625 | − | 1.61733i | ||||
\(313\) | −2.95446 | + | 28.1098i | −0.166996 | + | 1.58886i | 0.514794 | + | 0.857314i | \(0.327868\pi\) |
−0.681790 | + | 0.731548i | \(0.738798\pi\) | |||||||
\(314\) | 10.8522 | + | 7.88461i | 0.612427 | + | 0.444954i | ||||
\(315\) | −1.74432 | + | 3.37925i | −0.0982813 | + | 0.190399i | ||||
\(316\) | −24.9608 | − | 76.8215i | −1.40416 | − | 4.32155i | ||||
\(317\) | 8.65201 | + | 3.85212i | 0.485945 | + | 0.216357i | 0.635060 | − | 0.772463i | \(-0.280976\pi\) |
−0.149114 | + | 0.988820i | \(0.547642\pi\) | |||||||
\(318\) | −0.0120126 | + | 0.0208063i | −0.000673630 | + | 0.00116676i | ||||
\(319\) | −3.95965 | + | 11.9987i | −0.221698 | + | 0.671800i | ||||
\(320\) | 22.5406 | + | 39.0414i | 1.26006 | + | 2.18248i | ||||
\(321\) | −6.06916 | + | 4.40950i | −0.338747 | + | 0.246114i | ||||
\(322\) | −6.49381 | − | 42.4477i | −0.361886 | − | 2.36552i | ||||
\(323\) | 0.0288328 | − | 0.0887384i | 0.00160430 | − | 0.00493753i | ||||
\(324\) | −0.574879 | + | 5.46961i | −0.0319377 | + | 0.303867i | ||||
\(325\) | 10.7506 | − | 4.78649i | 0.596338 | − | 0.265507i | ||||
\(326\) | 31.0035 | + | 34.4329i | 1.71713 | + | 1.90706i | ||||
\(327\) | 0.791568 | − | 0.879126i | 0.0437738 | − | 0.0486158i | ||||
\(328\) | 7.32101 | − | 5.31903i | 0.404235 | − | 0.293694i | ||||
\(329\) | 3.00222 | − | 3.66772i | 0.165518 | − | 0.202208i | ||||
\(330\) | −8.78013 | + | 9.66170i | −0.483330 | + | 0.531859i | ||||
\(331\) | −3.06434 | − | 5.30759i | −0.168431 | − | 0.291732i | 0.769437 | − | 0.638722i | \(-0.220537\pi\) |
−0.937868 | + | 0.346991i | \(0.887203\pi\) | |||||||
\(332\) | 9.46637 | + | 90.0665i | 0.519535 | + | 4.94304i | ||||
\(333\) | 2.05138 | + | 0.436034i | 0.112415 | + | 0.0238945i | ||||
\(334\) | 17.6788 | − | 3.75775i | 0.967341 | − | 0.205615i | ||||
\(335\) | 11.4351 | + | 8.30812i | 0.624768 | + | 0.453921i | ||||
\(336\) | 10.6465 | − | 38.9113i | 0.580812 | − | 2.12279i | ||||
\(337\) | −3.71490 | + | 11.4333i | −0.202364 | + | 0.622812i | 0.797448 | + | 0.603388i | \(0.206183\pi\) |
−0.999811 | + | 0.0194234i | \(0.993817\pi\) | |||||||
\(338\) | −5.65771 | + | 6.28352i | −0.307739 | + | 0.341778i | ||||
\(339\) | 0.254177 | + | 2.41834i | 0.0138050 | + | 0.131346i | ||||
\(340\) | 0.0704159 | − | 0.121964i | 0.00381884 | − | 0.00661442i | ||||
\(341\) | −2.64237 | − | 26.3022i | −0.143092 | − | 1.42434i | ||||
\(342\) | −14.3428 | −0.775571 | ||||||||
\(343\) | −18.3358 | + | 2.60751i | −0.990039 | + | 0.140792i | ||||
\(344\) | 2.21967 | + | 6.83143i | 0.119676 | + | 0.368326i | ||||
\(345\) | −8.33249 | + | 1.77113i | −0.448606 | + | 0.0953542i | ||||
\(346\) | −65.2042 | + | 29.0308i | −3.50540 | + | 1.56070i | ||||
\(347\) | −28.3079 | + | 12.6035i | −1.51965 | + | 0.676590i | −0.985635 | − | 0.168887i | \(-0.945983\pi\) |
−0.534011 | + | 0.845478i | \(0.679316\pi\) | |||||||
\(348\) | −20.4943 | + | 4.35619i | −1.09861 | + | 0.233516i | ||||
\(349\) | 2.47954 | + | 7.63125i | 0.132727 | + | 0.408491i | 0.995230 | − | 0.0975613i | \(-0.0311042\pi\) |
−0.862503 | + | 0.506053i | \(0.831104\pi\) | |||||||
\(350\) | 17.7676 | + | 11.6720i | 0.949716 | + | 0.623897i | ||||
\(351\) | 4.01092 | 0.214087 | ||||||||
\(352\) | 37.7559 | − | 64.7068i | 2.01239 | − | 3.44888i | ||||
\(353\) | −5.97705 | + | 10.3526i | −0.318126 | + | 0.551011i | −0.980097 | − | 0.198519i | \(-0.936387\pi\) |
0.661971 | + | 0.749530i | \(0.269720\pi\) | |||||||
\(354\) | 0.798561 | + | 7.59780i | 0.0424431 | + | 0.403819i | ||||
\(355\) | 4.54995 | − | 5.05323i | 0.241486 | − | 0.268198i | ||||
\(356\) | −7.73684 | + | 23.8115i | −0.410051 | + | 1.26201i | ||||
\(357\) | −0.0455925 | + | 0.0119592i | −0.00241301 | + | 0.000632947i | ||||
\(358\) | 20.4288 | + | 14.8424i | 1.07970 | + | 0.784446i | ||||
\(359\) | 20.9303 | − | 4.44887i | 1.10466 | − | 0.234802i | 0.380736 | − | 0.924684i | \(-0.375671\pi\) |
0.723922 | + | 0.689881i | \(0.242337\pi\) | |||||||
\(360\) | −13.4750 | − | 2.86420i | −0.710194 | − | 0.150956i | ||||
\(361\) | −0.881157 | − | 8.38365i | −0.0463767 | − | 0.441245i | ||||
\(362\) | 12.8355 | + | 22.2317i | 0.674618 | + | 1.16847i | ||||
\(363\) | 10.7382 | + | 2.38578i | 0.563607 | + | 0.125221i | ||||
\(364\) | −57.5952 | − | 9.43375i | −3.01881 | − | 0.494463i | ||||
\(365\) | −3.92387 | + | 2.85086i | −0.205385 | + | 0.149221i | ||||
\(366\) | 22.9369 | − | 25.4741i | 1.19893 | − | 1.33155i | ||||
\(367\) | 0.306109 | + | 0.339969i | 0.0159788 | + | 0.0177462i | 0.751081 | − | 0.660210i | \(-0.229533\pi\) |
−0.735102 | + | 0.677956i | \(0.762866\pi\) | |||||||
\(368\) | 82.5541 | − | 36.7554i | 4.30343 | − | 1.91601i | ||||
\(369\) | −0.0986937 | + | 0.939007i | −0.00513779 | + | 0.0488828i | ||||
\(370\) | −2.55101 | + | 7.85120i | −0.132621 | + | 0.408165i | ||||
\(371\) | 0.00351005 | + | 0.0229439i | 0.000182233 | + | 0.00119119i | ||||
\(372\) | 35.4630 | − | 25.7654i | 1.83867 | − | 1.33587i | ||||
\(373\) | 0.731599 | + | 1.26717i | 0.0378808 | + | 0.0656114i | 0.884344 | − | 0.466835i | \(-0.154606\pi\) |
−0.846463 | + | 0.532447i | \(0.821273\pi\) | |||||||
\(374\) | −0.161811 | 0.000743324i | −0.00836705 | 3.84364e-5i | ||||||
\(375\) | 5.70200 | − | 9.87616i | 0.294450 | − | 0.510003i | ||||
\(376\) | 15.6855 | + | 6.98363i | 0.808917 | + | 0.360153i | ||||
\(377\) | 4.72186 | + | 14.5324i | 0.243188 | + | 0.748455i | ||||
\(378\) | 3.91412 | + | 6.09736i | 0.201321 | + | 0.313614i | ||||
\(379\) | −13.8141 | − | 10.0365i | −0.709582 | − | 0.515542i | 0.173457 | − | 0.984842i | \(-0.444506\pi\) |
−0.883039 | + | 0.469300i | \(0.844506\pi\) | |||||||
\(380\) | 4.32766 | − | 41.1750i | 0.222004 | − | 2.11223i | ||||
\(381\) | 9.67461 | + | 10.7447i | 0.495645 | + | 0.550470i | ||||
\(382\) | 15.5650 | + | 3.30845i | 0.796377 | + | 0.169275i | ||||
\(383\) | 18.6500 | + | 8.30353i | 0.952972 | + | 0.424290i | 0.823515 | − | 0.567295i | \(-0.192010\pi\) |
0.129457 | + | 0.991585i | \(0.458677\pi\) | |||||||
\(384\) | 40.7156 | 2.07776 | ||||||||
\(385\) | −0.784340 | + | 12.5884i | −0.0399737 | + | 0.641562i | ||||
\(386\) | −38.0294 | −1.93564 | ||||||||
\(387\) | −0.684663 | − | 0.304832i | −0.0348034 | − | 0.0154955i | ||||
\(388\) | −19.0264 | − | 4.04419i | −0.965920 | − | 0.205313i | ||||
\(389\) | −19.0742 | − | 21.1840i | −0.967100 | − | 1.07407i | −0.997219 | − | 0.0745271i | \(-0.976255\pi\) |
0.0301189 | − | 0.999546i | \(-0.490411\pi\) | |||||||
\(390\) | −1.65032 | + | 15.7017i | −0.0835670 | + | 0.795087i | ||||
\(391\) | −0.0854194 | − | 0.0620608i | −0.00431984 | − | 0.00313855i | ||||
\(392\) | −26.6401 | − | 61.5740i | −1.34553 | − | 3.10996i | ||||
\(393\) | −0.0834726 | − | 0.256902i | −0.00421063 | − | 0.0129590i | ||||
\(394\) | 8.14097 | + | 3.62459i | 0.410136 | + | 0.182604i | ||||
\(395\) | −10.5553 | + | 18.2823i | −0.531094 | + | 0.919881i | ||||
\(396\) | 5.55690 | + | 17.3735i | 0.279245 | + | 0.873052i | ||||
\(397\) | −0.959179 | − | 1.66135i | −0.0481398 | − | 0.0833806i | 0.840951 | − | 0.541111i | \(-0.181996\pi\) |
−0.889091 | + | 0.457730i | \(0.848663\pi\) | |||||||
\(398\) | 31.7568 | − | 23.0727i | 1.59182 | − | 1.15653i | ||||
\(399\) | −10.8145 | + | 8.66342i | −0.541404 | + | 0.433713i | ||||
\(400\) | −13.8244 | + | 42.5470i | −0.691218 | + | 2.12735i | ||||
\(401\) | −2.57859 | + | 24.5336i | −0.128769 | + | 1.22515i | 0.719086 | + | 0.694921i | \(0.244561\pi\) |
−0.847854 | + | 0.530229i | \(0.822106\pi\) | |||||||
\(402\) | 24.6021 | − | 10.9536i | 1.22704 | − | 0.546313i | ||||
\(403\) | −21.3910 | − | 23.7571i | −1.06556 | − | 1.18343i | ||||
\(404\) | −51.6101 | + | 57.3188i | −2.56770 | + | 2.85172i | ||||
\(405\) | 1.16285 | − | 0.844859i | 0.0577824 | − | 0.0419814i | ||||
\(406\) | −17.4841 | + | 21.3598i | −0.867720 | + | 1.06007i | ||||
\(407\) | 6.81023 | − | 1.41489i | 0.337570 | − | 0.0701336i | ||||
\(408\) | −0.0853733 | − | 0.147871i | −0.00422661 | − | 0.00732070i | ||||
\(409\) | −1.03040 | − | 9.80361i | −0.0509500 | − | 0.484757i | −0.990009 | − | 0.141002i | \(-0.954968\pi\) |
0.939059 | − | 0.343755i | \(-0.111699\pi\) | |||||||
\(410\) | −3.63536 | − | 0.772720i | −0.179538 | − | 0.0381619i | ||||
\(411\) | −13.5249 | + | 2.87481i | −0.667134 | + | 0.141804i | ||||
\(412\) | −5.55039 | − | 4.03259i | −0.273448 | − | 0.198672i | ||||
\(413\) | 5.19138 | + | 5.24641i | 0.255451 | + | 0.258159i | ||||
\(414\) | −5.01546 | + | 15.4360i | −0.246496 | + | 0.758638i | ||||
\(415\) | 15.8374 | − | 17.5892i | 0.777426 | − | 0.863419i | ||||
\(416\) | −9.47021 | − | 90.1031i | −0.464315 | − | 4.41767i | ||||
\(417\) | 3.22948 | − | 5.59362i | 0.158148 | − | 0.273921i | ||||
\(418\) | −43.5456 | + | 19.1485i | −2.12988 | + | 0.936585i | ||||
\(419\) | 39.4218 | 1.92588 | 0.962940 | − | 0.269716i | \(-0.0869298\pi\) | ||||
0.962940 | + | 0.269716i | \(0.0869298\pi\) | |||||||
\(420\) | −18.6851 | + | 9.39679i | −0.911742 | + | 0.458516i | ||||
\(421\) | 8.44162 | + | 25.9806i | 0.411419 | + | 1.26622i | 0.915415 | + | 0.402512i | \(0.131863\pi\) |
−0.503995 | + | 0.863707i | \(0.668137\pi\) | |||||||
\(422\) | 28.5922 | − | 6.07745i | 1.39184 | − | 0.295846i | ||||
\(423\) | −1.63659 | + | 0.728656i | −0.0795736 | + | 0.0354285i | ||||
\(424\) | −0.0768124 | + | 0.0341991i | −0.00373034 | + | 0.00166085i | ||||
\(425\) | 0.0511279 | − | 0.0108676i | 0.00248007 | − | 0.000527154i | ||||
\(426\) | −4.00346 | − | 12.3214i | −0.193968 | − | 0.596974i | ||||
\(427\) | 1.90756 | − | 33.0620i | 0.0923132 | − | 1.59998i | ||||
\(428\) | −41.2584 | −1.99430 | ||||||||
\(429\) | 12.1774 | − | 5.35482i | 0.587929 | − | 0.258533i | ||||
\(430\) | 1.47504 | − | 2.55485i | 0.0711330 | − | 0.123206i | ||||
\(431\) | −3.88939 | − | 37.0051i | −0.187345 | − | 1.78247i | −0.535004 | − | 0.844850i | \(-0.679690\pi\) |
0.347658 | − | 0.937621i | \(-0.386977\pi\) | |||||||
\(432\) | −10.2027 | + | 11.3312i | −0.490876 | + | 0.545173i | ||||
\(433\) | 3.69850 | − | 11.3828i | 0.177739 | − | 0.547023i | −0.822009 | − | 0.569474i | \(-0.807147\pi\) |
0.999748 | + | 0.0224507i | \(0.00714688\pi\) | |||||||
\(434\) | 15.2406 | − | 55.7021i | 0.731571 | − | 2.67379i | ||||
\(435\) | 4.43005 | + | 3.21862i | 0.212405 | + | 0.154321i | ||||
\(436\) | 6.36391 | − | 1.35269i | 0.304776 | − | 0.0647821i | ||||
\(437\) | −30.3614 | − | 6.45351i | −1.45238 | − | 0.308713i | ||||
\(438\) | 0.965937 | + | 9.19028i | 0.0461543 | + | 0.439128i | ||||
\(439\) | 7.21107 | + | 12.4899i | 0.344165 | + | 0.596112i | 0.985202 | − | 0.171398i | \(-0.0548285\pi\) |
−0.641036 | + | 0.767511i | \(0.721495\pi\) | |||||||
\(440\) | −44.7347 | + | 9.29407i | −2.13264 | + | 0.443077i | ||||
\(441\) | 6.63422 | + | 2.23320i | 0.315915 | + | 0.106343i | ||||
\(442\) | −0.158314 | + | 0.115022i | −0.00753021 | + | 0.00547102i | ||||
\(443\) | −8.13939 | + | 9.03971i | −0.386714 | + | 0.429490i | −0.904799 | − | 0.425840i | \(-0.859979\pi\) |
0.518084 | + | 0.855330i | \(0.326645\pi\) | |||||||
\(444\) | 7.71782 | + | 8.57150i | 0.366271 | + | 0.406786i | ||||
\(445\) | 5.97770 | − | 2.66145i | 0.283370 | − | 0.126165i | ||||
\(446\) | 1.10112 | − | 10.4765i | 0.0521396 | − | 0.496075i | ||||
\(447\) | −2.72814 | + | 8.39634i | −0.129036 | + | 0.397133i | ||||
\(448\) | 64.7628 | − | 51.8809i | 3.05975 | − | 2.45114i | ||||
\(449\) | 8.01581 | − | 5.82382i | 0.378289 | − | 0.274843i | −0.382351 | − | 0.924017i | \(-0.624885\pi\) |
0.760640 | + | 0.649174i | \(0.224885\pi\) | |||||||
\(450\) | −4.01747 | − | 6.95847i | −0.189386 | − | 0.328025i | ||||
\(451\) | 0.953992 | + | 2.98264i | 0.0449217 | + | 0.140447i | ||||
\(452\) | −6.68674 | + | 11.5818i | −0.314518 | + | 0.544761i | ||||
\(453\) | −12.4016 | − | 5.52156i | −0.582679 | − | 0.259425i | ||||
\(454\) | 1.32773 | + | 4.08632i | 0.0623133 | + | 0.191780i | ||||
\(455\) | 8.23988 | + | 12.8360i | 0.386291 | + | 0.601759i | ||||
\(456\) | −40.6095 | − | 29.5046i | −1.90172 | − | 1.38168i | ||||
\(457\) | −1.74018 | + | 16.5567i | −0.0814021 | + | 0.774490i | 0.875331 | + | 0.483524i | \(0.160643\pi\) |
−0.956733 | + | 0.290966i | \(0.906023\pi\) | |||||||
\(458\) | −45.9948 | − | 51.0825i | −2.14920 | − | 2.38693i | ||||
\(459\) | 0.0174260 | + | 0.00370401i | 0.000813376 | + | 0.000172888i | ||||
\(460\) | −42.7999 | − | 19.0557i | −1.99556 | − | 0.888479i | ||||
\(461\) | −34.2505 | −1.59520 | −0.797602 | − | 0.603184i | \(-0.793899\pi\) | ||||
−0.797602 | + | 0.603184i | \(0.793899\pi\) | |||||||
\(462\) | 20.0238 | + | 13.2863i | 0.931593 | + | 0.618136i | ||||
\(463\) | −33.2499 | −1.54526 | −0.772628 | − | 0.634859i | \(-0.781058\pi\) | ||||
−0.772628 | + | 0.634859i | \(0.781058\pi\) | |||||||
\(464\) | −53.0664 | − | 23.6267i | −2.46354 | − | 1.09684i | ||||
\(465\) | −11.2059 | − | 2.38188i | −0.519660 | − | 0.110457i | ||||
\(466\) | 3.20185 | + | 3.55602i | 0.148323 | + | 0.164729i | ||||
\(467\) | 0.323445 | − | 3.07737i | 0.0149673 | − | 0.142404i | −0.984486 | − | 0.175462i | \(-0.943858\pi\) |
0.999453 | + | 0.0330583i | \(0.0105247\pi\) | |||||||
\(468\) | 17.8461 | + | 12.9660i | 0.824938 | + | 0.599352i | ||||
\(469\) | 11.9338 | − | 23.1193i | 0.551053 | − | 1.06755i | ||||
\(470\) | −2.17911 | − | 6.70662i | −0.100515 | − | 0.309353i | ||||
\(471\) | −4.47475 | − | 1.99229i | −0.206186 | − | 0.0917998i | ||||
\(472\) | −13.3684 | + | 23.1547i | −0.615330 | + | 1.06578i | ||||
\(473\) | −2.48564 | − | 0.0114185i | −0.114290 | − | 0.000525022i | ||||
\(474\) | 20.1107 | + | 34.8328i | 0.923716 | + | 1.59992i | ||||
\(475\) | 12.4317 | − | 9.03213i | 0.570404 | − | 0.414423i | ||||
\(476\) | −0.241519 | − | 0.0941743i | −0.0110700 | − | 0.00431647i | ||||
\(477\) | 0.00271097 | − | 0.00834350i | 0.000124127 | − | 0.000382023i | ||||
\(478\) | −5.86567 | + | 55.8082i | −0.268290 | + | 2.55261i | ||||
\(479\) | 28.4157 | − | 12.6515i | 1.29835 | − | 0.578062i | 0.363000 | − | 0.931789i | \(-0.381752\pi\) |
0.935349 | + | 0.353727i | \(0.115086\pi\) | |||||||
\(480\) | −21.7249 | − | 24.1279i | −0.991600 | − | 1.10128i | ||||
\(481\) | 5.62855 | − | 6.25114i | 0.256640 | − | 0.285027i | ||||
\(482\) | −48.1080 | + | 34.9525i | −2.19126 | + | 1.59204i | ||||
\(483\) | 5.54205 | + | 14.6682i | 0.252172 | + | 0.667428i | ||||
\(484\) | 40.0657 | + | 45.3281i | 1.82117 | + | 2.06037i | ||||
\(485\) | 2.54182 | + | 4.40257i | 0.115418 | + | 0.199910i | ||||
\(486\) | −0.286258 | − | 2.72356i | −0.0129849 | − | 0.123543i | ||||
\(487\) | 35.5733 | + | 7.56135i | 1.61198 | + | 0.342637i | 0.923792 | − | 0.382894i | \(-0.125072\pi\) |
0.688189 | + | 0.725531i | \(0.258406\pi\) | |||||||
\(488\) | 117.345 | − | 24.9425i | 5.31196 | − | 1.12909i | ||||
\(489\) | −13.6878 | − | 9.94479i | −0.618985 | − | 0.449719i | ||||
\(490\) | −11.4721 | + | 25.0524i | −0.518256 | + | 1.13175i | ||||
\(491\) | −8.69187 | + | 26.7508i | −0.392259 | + | 1.20725i | 0.538818 | + | 0.842422i | \(0.318871\pi\) |
−0.931076 | + | 0.364825i | \(0.881129\pi\) | |||||||
\(492\) | −3.47462 | + | 3.85896i | −0.156648 | + | 0.173975i | ||||
\(493\) | 0.00709437 | + | 0.0674985i | 0.000319515 | + | 0.00303998i | ||||
\(494\) | −28.7640 | + | 49.8207i | −1.29415 | + | 2.24154i | ||||
\(495\) | 2.40253 | − | 4.11751i | 0.107986 | − | 0.185068i | ||||
\(496\) | 121.529 | 5.45680 | ||||||||
\(497\) | −10.4610 | − | 6.87217i | −0.469242 | − | 0.308259i | ||||
\(498\) | −13.9352 | − | 42.8881i | −0.624450 | − | 1.92186i | ||||
\(499\) | 30.8093 | − | 6.54871i | 1.37921 | − | 0.293161i | 0.542156 | − | 0.840278i | \(-0.317608\pi\) |
0.837056 | + | 0.547117i | \(0.184275\pi\) | |||||||
\(500\) | 57.2967 | − | 25.5101i | 2.56239 | − | 1.14085i | ||||
\(501\) | −6.02914 | + | 2.68435i | −0.269362 | + | 0.119928i | ||||
\(502\) | −62.9009 | + | 13.3700i | −2.80741 | + | 0.596732i | ||||
\(503\) | 5.36309 | + | 16.5059i | 0.239128 | + | 0.735961i | 0.996547 | + | 0.0830314i | \(0.0264602\pi\) |
−0.757419 | + | 0.652929i | \(0.773540\pi\) | |||||||
\(504\) | −1.46061 | + | 25.3155i | −0.0650609 | + | 1.12764i | ||||
\(505\) | 20.1580 | 0.897019 | ||||||||
\(506\) | 5.38079 | + | 53.5604i | 0.239205 | + | 2.38105i | ||||
\(507\) | 1.54375 | − | 2.67385i | 0.0685603 | − | 0.118750i | ||||
\(508\) | 8.31188 | + | 79.0822i | 0.368780 | + | 3.50871i | ||||
\(509\) | 3.90300 | − | 4.33472i | 0.172997 | − | 0.192133i | −0.650411 | − | 0.759583i | \(-0.725403\pi\) |
0.823408 | + | 0.567450i | \(0.192070\pi\) | |||||||
\(510\) | −0.0216703 | + | 0.0666942i | −0.000959576 | + | 0.00295327i | ||||
\(511\) | 6.27947 | + | 6.34604i | 0.277788 | + | 0.280732i | ||||
\(512\) | 42.1833 | + | 30.6480i | 1.86426 | + | 1.35446i | ||||
\(513\) | 5.12290 | − | 1.08891i | 0.226182 | − | 0.0480764i | ||||
\(514\) | −47.5349 | − | 10.1038i | −2.09667 | − | 0.445662i | ||||
\(515\) | 0.187423 | + | 1.78321i | 0.00825886 | + | 0.0785778i | ||||
\(516\) | −2.06091 | − | 3.56960i | −0.0907265 | − | 0.157143i | ||||
\(517\) | −3.99597 | + | 4.39718i | −0.175742 | + | 0.193388i | ||||
\(518\) | 14.9956 | + | 2.45619i | 0.658870 | + | 0.107919i | ||||
\(519\) | 21.0853 | − | 15.3194i | 0.925542 | − | 0.672446i | ||||
\(520\) | −36.9725 | + | 41.0622i | −1.62135 | + | 1.80069i | ||||
\(521\) | −8.56557 | − | 9.51303i | −0.375264 | − | 0.416773i | 0.525697 | − | 0.850672i | \(-0.323804\pi\) |
−0.900962 | + | 0.433898i | \(0.857138\pi\) | |||||||
\(522\) | 9.53102 | − | 4.24348i | 0.417161 | − | 0.185732i | ||||
\(523\) | −0.868347 | + | 8.26177i | −0.0379702 | + | 0.361262i | 0.958996 | + | 0.283421i | \(0.0914693\pi\) |
−0.996966 | + | 0.0778410i | \(0.975197\pi\) | |||||||
\(524\) | 0.459077 | − | 1.41289i | 0.0200549 | − | 0.0617226i | ||||
\(525\) | −7.23227 | − | 2.82005i | −0.315642 | − | 0.123077i | ||||
\(526\) | 28.0032 | − | 20.3455i | 1.22100 | − | 0.887107i | ||||
\(527\) | −0.0709969 | − | 0.122970i | −0.00309267 | − | 0.00535667i | ||||
\(528\) | −15.8480 | + | 48.0233i | −0.689695 | + | 2.08995i | ||||
\(529\) | −6.06226 | + | 10.5001i | −0.263577 | + | 0.456528i | ||||
\(530\) | 0.0315472 | + | 0.0140457i | 0.00137032 | + | 0.000610107i | ||||
\(531\) | −0.862051 | − | 2.65312i | −0.0374098 | − | 0.115136i | ||||
\(532\) | −76.1239 | + | 3.58711i | −3.30039 | + | 0.155521i | ||||
\(533\) | 3.06377 | + | 2.22596i | 0.132707 | + | 0.0964171i | ||||
\(534\) | 1.30316 | − | 12.3987i | 0.0563931 | − | 0.536544i | ||||
\(535\) | 7.21518 | + | 8.01327i | 0.311939 | + | 0.346444i | ||||
\(536\) | 92.1896 | + | 19.5955i | 3.98198 | + | 0.846396i | ||||
\(537\) | −8.42351 | − | 3.75039i | −0.363501 | − | 0.161841i | ||||
\(538\) | −36.3642 | −1.56777 | ||||||||
\(539\) | 23.1233 | − | 2.07696i | 0.995990 | − | 0.0894609i | ||||
\(540\) | 7.90510 | 0.340181 | ||||||||
\(541\) | 8.01613 | + | 3.56901i | 0.344640 | + | 0.153444i | 0.571755 | − | 0.820424i | \(-0.306263\pi\) |
−0.227115 | + | 0.973868i | \(0.572929\pi\) | |||||||
\(542\) | 35.4820 | + | 7.54194i | 1.52408 | + | 0.323954i | ||||
\(543\) | −6.27234 | − | 6.96614i | −0.269172 | − | 0.298946i | ||||
\(544\) | 0.0420638 | − | 0.400211i | 0.00180347 | − | 0.0171589i | ||||
\(545\) | −1.37563 | − | 0.999451i | −0.0589253 | − | 0.0428118i | ||||
\(546\) | 29.0292 | − | 1.36791i | 1.24233 | − | 0.0585413i | ||||
\(547\) | −2.97000 | − | 9.14073i | −0.126988 | − | 0.390829i | 0.867270 | − | 0.497838i | \(-0.165873\pi\) |
−0.994258 | + | 0.107009i | \(0.965873\pi\) | |||||||
\(548\) | −69.4708 | − | 30.9304i | −2.96764 | − | 1.32128i | ||||
\(549\) | −6.25852 | + | 10.8401i | −0.267107 | + | 0.462643i | ||||
\(550\) | −21.4872 | − | 15.7627i | −0.916219 | − | 0.672124i | ||||
\(551\) | 9.97626 | + | 17.2794i | 0.425003 | + | 0.736127i | ||||
\(552\) | −45.9538 | + | 33.3874i | −1.95592 | + | 1.42106i | ||||
\(553\) | 36.2034 | + | 14.1166i | 1.53952 | + | 0.600301i | ||||
\(554\) | −7.05283 | + | 21.7064i | −0.299646 | + | 0.922216i | ||||
\(555\) | 0.315095 | − | 2.99793i | 0.0133750 | − | 0.127255i | ||||
\(556\) | 32.4515 | − | 14.4483i | 1.37625 | − | 0.612746i | ||||
\(557\) | −1.57042 | − | 1.74413i | −0.0665410 | − | 0.0739012i | 0.708955 | − | 0.705254i | \(-0.249167\pi\) |
−0.775496 | + | 0.631352i | \(0.782500\pi\) | |||||||
\(558\) | −14.6053 | + | 16.2208i | −0.618291 | + | 0.686682i | ||||
\(559\) | −2.43192 | + | 1.76689i | −0.102859 | + | 0.0747315i | ||||
\(560\) | −57.2227 | − | 9.37273i | −2.41810 | − | 0.396070i | ||||
\(561\) | 0.0578514 | − | 0.0120192i | 0.00244249 | − | 0.000507451i | ||||
\(562\) | −6.74522 | − | 11.6831i | −0.284530 | − | 0.492821i | ||||
\(563\) | −0.124140 | − | 1.18111i | −0.00523188 | − | 0.0497780i | 0.991594 | − | 0.129385i | \(-0.0413002\pi\) |
−0.996826 | + | 0.0796067i | \(0.974634\pi\) | |||||||
\(564\) | −9.63731 | − | 2.04847i | −0.405804 | − | 0.0862563i | ||||
\(565\) | 3.41879 | − | 0.726686i | 0.143829 | − | 0.0305719i | ||||
\(566\) | −68.1947 | − | 49.5463i | −2.86644 | − | 2.08259i | ||||
\(567\) | −1.86094 | − | 1.88067i | −0.0781521 | − | 0.0789806i | ||||
\(568\) | 14.0111 | − | 43.1217i | 0.587892 | − | 1.80935i | ||||
\(569\) | −7.09928 | + | 7.88455i | −0.297617 | + | 0.330538i | −0.873343 | − | 0.487105i | \(-0.838053\pi\) |
0.575726 | + | 0.817643i | \(0.304720\pi\) | |||||||
\(570\) | 2.15494 | + | 20.5029i | 0.0902604 | + | 0.858770i | ||||
\(571\) | 10.0298 | − | 17.3721i | 0.419733 | − | 0.726998i | −0.576180 | − | 0.817323i | \(-0.695457\pi\) |
0.995912 | + | 0.0903246i | \(0.0287905\pi\) | |||||||
\(572\) | 71.4921 | + | 15.5397i | 2.98924 | + | 0.649748i | ||||
\(573\) | −5.81062 | −0.242742 | ||||||||
\(574\) | −0.394053 | + | 6.82975i | −0.0164474 | + | 0.285068i | ||||
\(575\) | −5.37338 | − | 16.5376i | −0.224085 | − | 0.689664i | ||||
\(576\) | −30.6785 | + | 6.52091i | −1.27827 | + | 0.271705i | ||||
\(577\) | −21.7764 | + | 9.69546i | −0.906561 | + | 0.403627i | −0.806418 | − | 0.591346i | \(-0.798597\pi\) |
−0.100143 | + | 0.994973i | \(0.531930\pi\) | |||||||
\(578\) | 42.5299 | − | 18.9355i | 1.76901 | − | 0.787614i | ||||
\(579\) | 13.5831 | − | 2.88719i | 0.564496 | − | 0.119987i | ||||
\(580\) | 9.30627 | + | 28.6418i | 0.386422 | + | 1.18928i | ||||
\(581\) | −36.4126 | − | 23.9205i | −1.51065 | − | 0.992390i | ||||
\(582\) | 9.68575 | 0.401487 | ||||||||
\(583\) | −0.00290844 | − | 0.0289506i | −0.000120455 | − | 0.00119901i | ||||
\(584\) | −16.1704 | + | 28.0079i | −0.669135 | + | 1.15898i | ||||
\(585\) | −0.602621 | − | 5.73355i | −0.0249153 | − | 0.237053i | ||||
\(586\) | 14.5544 | − | 16.1644i | 0.601239 | − | 0.667743i | ||||
\(587\) | −11.3360 | + | 34.8886i | −0.467887 | + | 1.44001i | 0.387429 | + | 0.921900i | \(0.373363\pi\) |
−0.855316 | + | 0.518107i | \(0.826637\pi\) | |||||||
\(588\) | 22.2990 | + | 31.3826i | 0.919594 | + | 1.29420i | ||||
\(589\) | −33.7711 | − | 24.5361i | −1.39151 | − | 1.01099i | ||||
\(590\) | 10.7410 | − | 2.28306i | 0.442199 | − | 0.0939922i | ||||
\(591\) | −3.18293 | − | 0.676553i | −0.130928 | − | 0.0278297i | ||||
\(592\) | 3.34256 | + | 31.8023i | 0.137378 | + | 1.30707i | ||||
\(593\) | −21.5573 | − | 37.3383i | −0.885252 | − | 1.53330i | −0.845424 | − | 0.534095i | \(-0.820652\pi\) |
−0.0398279 | − | 0.999207i | \(-0.512681\pi\) | |||||||
\(594\) | −4.50521 | − | 7.88671i | −0.184851 | − | 0.323596i | ||||
\(595\) | 0.0239455 | + | 0.0633770i | 0.000981670 | + | 0.00259820i | ||||
\(596\) | −39.2811 | + | 28.5394i | −1.60902 | + | 1.16902i | ||||
\(597\) | −9.59106 | + | 10.6520i | −0.392536 | + | 0.435955i | ||||
\(598\) | 43.5596 | + | 48.3778i | 1.78128 | + | 1.97831i | ||||
\(599\) | 13.4109 | − | 5.97094i | 0.547956 | − | 0.243966i | −0.114036 | − | 0.993477i | \(-0.536378\pi\) |
0.661992 | + | 0.749511i | \(0.269711\pi\) | |||||||
\(600\) | 2.93936 | − | 27.9662i | 0.119999 | − | 1.14171i | ||||
\(601\) | 3.62607 | − | 11.1599i | 0.147910 | − | 0.455221i | −0.849463 | − | 0.527647i | \(-0.823074\pi\) |
0.997374 | + | 0.0724263i | \(0.0230742\pi\) | |||||||
\(602\) | −5.05923 | − | 1.97273i | −0.206199 | − | 0.0804023i | ||||
\(603\) | −7.95566 | + | 5.78013i | −0.323980 | + | 0.235385i | ||||
\(604\) | −37.3302 | − | 64.6578i | −1.51894 | − | 2.63089i | ||||
\(605\) | 1.79709 | − | 15.7085i | 0.0730621 | − | 0.638641i | ||||
\(606\) | 19.2033 | − | 33.2610i | 0.780079 | − | 1.35114i | ||||
\(607\) | 28.4663 | + | 12.6740i | 1.15541 | + | 0.514423i | 0.892789 | − | 0.450475i | \(-0.148746\pi\) |
0.262624 | + | 0.964898i | \(0.415412\pi\) | |||||||
\(608\) | −36.5574 | − | 112.512i | −1.48260 | − | 4.56296i | ||||
\(609\) | 4.62325 | − | 8.95657i | 0.187343 | − | 0.362938i | ||||
\(610\) | −39.8609 | − | 28.9607i | −1.61392 | − | 1.17258i | ||||
\(611\) | −0.751083 | + | 7.14608i | −0.0303856 | + | 0.289099i | ||||
\(612\) | 0.0655611 | + | 0.0728130i | 0.00265015 | + | 0.00294329i | ||||
\(613\) | 19.8130 | + | 4.21139i | 0.800240 | + | 0.170096i | 0.589841 | − | 0.807519i | \(-0.299190\pi\) |
0.210399 | + | 0.977616i | \(0.432524\pi\) | |||||||
\(614\) | 20.2443 | + | 9.01332i | 0.816992 | + | 0.363748i | ||||
\(615\) | 1.35713 | 0.0547246 | ||||||||
\(616\) | 29.3632 | + | 78.8091i | 1.18308 | + | 3.17531i | ||||
\(617\) | 4.76539 | 0.191847 | 0.0959237 | − | 0.995389i | \(-0.469420\pi\) | ||||
0.0959237 | + | 0.995389i | \(0.469420\pi\) | |||||||
\(618\) | 3.12088 | + | 1.38951i | 0.125540 | + | 0.0558941i | ||||
\(619\) | −12.5187 | − | 2.66092i | −0.503167 | − | 0.106951i | −0.0506666 | − | 0.998716i | \(-0.516135\pi\) |
−0.452500 | + | 0.891764i | \(0.649468\pi\) | |||||||
\(620\) | −42.1594 | − | 46.8227i | −1.69316 | − | 1.88045i | ||||
\(621\) | 0.619498 | − | 5.89413i | 0.0248596 | − | 0.236523i | ||||
\(622\) | 34.8334 | + | 25.3079i | 1.39669 | + | 1.01476i | ||||
\(623\) | −6.50654 | − | 10.1358i | −0.260679 | − | 0.406082i | ||||
\(624\) | 18.8986 | + | 58.1639i | 0.756549 | + | 2.32842i | ||||
\(625\) | −1.57281 | − | 0.700261i | −0.0629125 | − | 0.0280105i | ||||
\(626\) | 38.7023 | − | 67.0344i | 1.54686 | − | 2.67923i | ||||
\(627\) | 14.0996 | − | 10.1454i | 0.563085 | − | 0.405167i | ||||
\(628\) | −13.4695 | − | 23.3298i | −0.537491 | − | 0.930961i | ||||
\(629\) | 0.0302268 | − | 0.0219611i | 0.00120522 | − | 0.000875646i | ||||
\(630\) | 8.12801 | − | 6.51128i | 0.323828 | − | 0.259415i | ||||
\(631\) | −10.3044 | + | 31.7136i | −0.410211 | + | 1.26250i | 0.506254 | + | 0.862384i | \(0.331030\pi\) |
−0.916465 | + | 0.400115i | \(0.868970\pi\) | |||||||
\(632\) | −14.7139 | + | 139.993i | −0.585288 | + | 5.56864i | ||||
\(633\) | −9.75101 | + | 4.34143i | −0.387568 | + | 0.172556i | ||||
\(634\) | −17.3549 | − | 19.2745i | −0.689249 | − | 0.765489i | ||||
\(635\) | 13.9059 | − | 15.4440i | 0.551838 | − | 0.612878i | ||||
\(636\) | 0.0390339 | − | 0.0283598i | 0.00154779 | − | 0.00112454i | ||||
\(637\) | 21.0618 | − | 18.5657i | 0.834500 | − | 0.735602i | ||||
\(638\) | 23.2714 | − | 25.6079i | 0.921322 | − | 1.01383i | ||||
\(639\) | 2.36538 | + | 4.09695i | 0.0935729 | + | 0.162073i | ||||
\(640\) | −6.11732 | − | 58.2024i | −0.241808 | − | 2.30065i | ||||
\(641\) | −13.7701 | − | 2.92693i | −0.543887 | − | 0.115607i | −0.0722285 | − | 0.997388i | \(-0.523011\pi\) |
−0.471658 | + | 0.881781i | \(0.656344\pi\) | |||||||
\(642\) | 20.0955 | − | 4.27142i | 0.793105 | − | 0.168580i | ||||
\(643\) | −13.7476 | − | 9.98824i | −0.542154 | − | 0.393898i | 0.282730 | − | 0.959199i | \(-0.408760\pi\) |
−0.824884 | + | 0.565302i | \(0.808760\pi\) | |||||||
\(644\) | −22.7588 | + | 83.1802i | −0.896823 | + | 3.27776i | ||||
\(645\) | −0.332885 | + | 1.02452i | −0.0131073 | + | 0.0403403i | ||||
\(646\) | −0.170978 | + | 0.189890i | −0.00672702 | + | 0.00747111i | ||||
\(647\) | 5.09247 | + | 48.4516i | 0.200206 | + | 1.90483i | 0.386424 | + | 0.922321i | \(0.373710\pi\) |
−0.186218 | + | 0.982508i | \(0.559623\pi\) | |||||||
\(648\) | 4.79213 | − | 8.30022i | 0.188253 | − | 0.326063i | ||||
\(649\) | −6.15931 | − | 6.90412i | −0.241774 | − | 0.271010i | ||||
\(650\) | −32.2275 | −1.26407 | ||||||||
\(651\) | −1.21465 | + | 21.0525i | −0.0476060 | + | 0.825112i | ||||
\(652\) | −28.7542 | − | 88.4963i | −1.12610 | − | 3.46578i | ||||
\(653\) | −3.11609 | + | 0.662345i | −0.121942 | + | 0.0259196i | −0.268478 | − | 0.963286i | \(-0.586521\pi\) |
0.146536 | + | 0.989205i | \(0.453187\pi\) | |||||||
\(654\) | −2.95958 | + | 1.31769i | −0.115729 | + | 0.0515258i | ||||
\(655\) | −0.354696 | + | 0.157921i | −0.0138591 | + | 0.00617049i | ||||
\(656\) | −14.0819 | + | 2.99321i | −0.549807 | + | 0.116865i | ||||
\(657\) | −1.04273 | − | 3.20921i | −0.0406809 | − | 0.125203i | ||||
\(658\) | −11.5963 | + | 5.83182i | −0.452073 | + | 0.227348i | ||||
\(659\) | 38.6928 | 1.50726 | 0.753629 | − | 0.657300i | \(-0.228302\pi\) | ||||
0.753629 | + | 0.657300i | \(0.228302\pi\) | |||||||
\(660\) | 24.0003 | − | 10.5538i | 0.934210 | − | 0.410805i | ||||
\(661\) | −0.462772 | + | 0.801545i | −0.0179997 | + | 0.0311765i | −0.874885 | − | 0.484331i | \(-0.839063\pi\) |
0.856885 | + | 0.515507i | \(0.172396\pi\) | |||||||
\(662\) | 1.75438 | + | 16.6918i | 0.0681860 | + | 0.648747i | ||||
\(663\) | 0.0478133 | − | 0.0531020i | 0.00185691 | − | 0.00206231i | ||||
\(664\) | 48.7695 | − | 150.097i | 1.89262 | − | 5.82489i | ||||
\(665\) | 14.0091 | + | 14.1576i | 0.543248 | + | 0.549007i | ||||
\(666\) | −4.64646 | − | 3.37585i | −0.180047 | − | 0.130812i | ||||
\(667\) | 22.0849 | − | 4.69429i | 0.855131 | − | 0.181764i | ||||
\(668\) | −35.5036 | − | 7.54651i | −1.37367 | − | 0.291983i | ||||
\(669\) | 0.402079 | + | 3.82553i | 0.0155453 | + | 0.147904i | ||||
\(670\) | −19.3543 | − | 33.5226i | −0.747721 | − | 1.29509i | ||||
\(671\) | −4.52904 | + | 41.2665i | −0.174842 | + | 1.59308i | ||||
\(672\) | −37.8542 | + | 46.2454i | −1.46026 | + | 1.78395i | ||||
\(673\) | 2.19696 | − | 1.59618i | 0.0846866 | − | 0.0615284i | −0.544636 | − | 0.838672i | \(-0.683332\pi\) |
0.629323 | + | 0.777144i | \(0.283332\pi\) | |||||||
\(674\) | 22.0292 | − | 24.4659i | 0.848534 | − | 0.942393i | ||||
\(675\) | 1.96323 | + | 2.18039i | 0.0755647 | + | 0.0839231i | ||||
\(676\) | 15.5124 | − | 6.90656i | 0.596630 | − | 0.265637i | ||||
\(677\) | 1.22577 | − | 11.6624i | 0.0471101 | − | 0.448223i | −0.945387 | − | 0.325951i | \(-0.894315\pi\) |
0.992497 | − | 0.122271i | \(-0.0390179\pi\) | |||||||
\(678\) | 2.05782 | − | 6.33333i | 0.0790302 | − | 0.243230i | ||||
\(679\) | 7.30308 | − | 5.85043i | 0.280267 | − | 0.224519i | ||||
\(680\) | −0.198552 | + | 0.144257i | −0.00761414 | + | 0.00553200i | ||||
\(681\) | −0.784464 | − | 1.35873i | −0.0300607 | − | 0.0520667i | ||||
\(682\) | −22.6866 | + | 68.7462i | −0.868717 | + | 2.63243i | ||||
\(683\) | −9.95032 | + | 17.2345i | −0.380738 | + | 0.659458i | −0.991168 | − | 0.132612i | \(-0.957663\pi\) |
0.610430 | + | 0.792070i | \(0.290997\pi\) | |||||||
\(684\) | 26.3138 | + | 11.7157i | 1.00613 | + | 0.447960i | ||||
\(685\) | 6.14154 | + | 18.9017i | 0.234656 | + | 0.722198i | ||||
\(686\) | 48.7770 | + | 13.9003i | 1.86231 | + | 0.530715i | ||||
\(687\) | 20.3064 | + | 14.7535i | 0.774737 | + | 0.562880i | ||||
\(688\) | 1.19450 | − | 11.3649i | 0.0455397 | − | 0.433281i | ||||
\(689\) | −0.0235449 | − | 0.0261493i | −0.000896990 | − | 0.000996208i | ||||
\(690\) | 22.8191 | + | 4.85034i | 0.868707 | + | 0.184649i | ||||
\(691\) | −21.9864 | − | 9.78896i | −0.836400 | − | 0.372389i | −0.0565841 | − | 0.998398i | \(-0.518021\pi\) |
−0.779816 | + | 0.626008i | \(0.784688\pi\) | |||||||
\(692\) | 143.339 | 5.44893 | ||||||||
\(693\) | −8.16071 | − | 3.22534i | −0.310000 | − | 0.122520i | ||||
\(694\) | 84.8594 | 3.22122 | ||||||||
\(695\) | −8.48121 | − | 3.77608i | −0.321711 | − | 0.143235i | ||||
\(696\) | 35.7149 | + | 7.59143i | 1.35377 | + | 0.287753i | ||||
\(697\) | 0.0112554 | + | 0.0125003i | 0.000426327 | + | 0.000473484i | ||||
\(698\) | 2.29692 | − | 21.8538i | 0.0869399 | − | 0.827178i | ||||
\(699\) | −1.41359 | − | 1.02704i | −0.0534671 | − | 0.0388461i | ||||
\(700\) | −23.0629 | − | 35.9270i | −0.871694 | − | 1.35791i | ||||
\(701\) | 2.54032 | + | 7.81830i | 0.0959465 | + | 0.295293i | 0.987499 | − | 0.157624i | \(-0.0503834\pi\) |
−0.891553 | + | 0.452917i | \(0.850383\pi\) | |||||||
\(702\) | −10.0345 | − | 4.46767i | −0.378729 | − | 0.168621i | ||||
\(703\) | 5.49191 | − | 9.51226i | 0.207131 | − | 0.358762i | ||||
\(704\) | −84.4357 | + | 60.7554i | −3.18229 | + | 2.28981i | ||||
\(705\) | 1.28749 | + | 2.23000i | 0.0484897 | + | 0.0839867i | ||||
\(706\) | 26.4848 | − | 19.2424i | 0.996770 | − | 0.724196i | ||||
\(707\) | −5.61117 | − | 36.6781i | −0.211030 | − | 1.37942i | ||||
\(708\) | 4.74106 | − | 14.5915i | 0.178180 | − | 0.548381i | ||||
\(709\) | 1.51172 | − | 14.3831i | 0.0567740 | − | 0.540168i | −0.928759 | − | 0.370684i | \(-0.879123\pi\) |
0.985533 | − | 0.169484i | \(-0.0542101\pi\) | |||||||
\(710\) | −17.0118 | + | 7.57412i | −0.638440 | + | 0.284252i | ||||
\(711\) | −9.82755 | − | 10.9146i | −0.368562 | − | 0.409330i | ||||
\(712\) | 29.1950 | − | 32.4243i | 1.09413 | − | 1.21515i | ||||
\(713\) | −38.2154 | + | 27.7651i | −1.43118 | + | 1.03981i | ||||
\(714\) | 0.127385 | + | 0.0208648i | 0.00476725 | + | 0.000780846i | ||||
\(715\) | −9.48423 | − | 16.6028i | −0.354690 | − | 0.620911i | ||||
\(716\) | −25.3557 | − | 43.9173i | −0.947585 | − | 1.64127i | ||||
\(717\) | −2.14188 | − | 20.3786i | −0.0799899 | − | 0.761053i | ||||
\(718\) | −57.3190 | − | 12.1835i | −2.13912 | − | 0.454685i | ||||
\(719\) | −22.8200 | + | 4.85055i | −0.851044 | + | 0.180895i | −0.612729 | − | 0.790293i | \(-0.709928\pi\) |
−0.238315 | + | 0.971188i | \(0.576595\pi\) | |||||||
\(720\) | 17.7307 | + | 12.8821i | 0.660784 | + | 0.480088i | ||||
\(721\) | 3.19245 | − | 0.837398i | 0.118893 | − | 0.0311863i | ||||
\(722\) | −7.13386 | + | 21.9558i | −0.265495 | + | 0.817109i | ||||
\(723\) | 14.5294 | − | 16.1365i | 0.540354 | − | 0.600124i | ||||
\(724\) | −5.38884 | − | 51.2714i | −0.200275 | − | 1.90549i | ||||
\(725\) | −5.58877 | + | 9.68003i | −0.207562 | + | 0.359507i | ||||
\(726\) | −24.2073 | − | 17.9297i | −0.898417 | − | 0.665435i | ||||
\(727\) | −26.9555 | −0.999723 | −0.499862 | − | 0.866105i | \(-0.666616\pi\) | ||||
−0.499862 | + | 0.866105i | \(0.666616\pi\) | |||||||
\(728\) | 85.0056 | + | 55.8427i | 3.15052 | + | 2.06967i | ||||
\(729\) | 0.309017 | + | 0.951057i | 0.0114451 | + | 0.0352243i | ||||
\(730\) | 12.9922 | − | 2.76159i | 0.480864 | − | 0.102211i | ||||
\(731\) | −0.0121975 | + | 0.00543067i | −0.000451141 | + | 0.000200861i | ||||
\(732\) | −62.8889 | + | 27.9999i | −2.32444 | + | 1.03491i | ||||
\(733\) | 6.60364 | − | 1.40365i | 0.243911 | − | 0.0518449i | −0.0843339 | − | 0.996438i | \(-0.526876\pi\) |
0.328245 | + | 0.944593i | \(0.393543\pi\) | |||||||
\(734\) | −0.387143 | − | 1.19150i | −0.0142897 | − | 0.0439792i | ||||
\(735\) | 2.19557 | − | 9.81904i | 0.0809849 | − | 0.362181i | ||||
\(736\) | −133.871 | −4.93455 | ||||||||
\(737\) | −16.4370 | + | 28.1700i | −0.605464 | + | 1.03766i | ||||
\(738\) | 1.29285 | − | 2.23928i | 0.0475904 | − | 0.0824290i | ||||
\(739\) | −1.93506 | − | 18.4109i | −0.0711825 | − | 0.677256i | −0.970687 | − | 0.240346i | \(-0.922739\pi\) |
0.899505 | − | 0.436911i | \(-0.143927\pi\) | |||||||
\(740\) | 11.0933 | − | 12.3203i | 0.407797 | − | 0.452904i | ||||
\(741\) | 6.49140 | − | 19.9785i | 0.238467 | − | 0.733927i | ||||
\(742\) | 0.0167752 | − | 0.0613109i | 0.000615837 | − | 0.00225080i | ||||
\(743\) | −13.0542 | − | 9.48445i | −0.478913 | − | 0.347951i | 0.321992 | − | 0.946743i | \(-0.395648\pi\) |
−0.800905 | + | 0.598792i | \(0.795648\pi\) | |||||||
\(744\) | −74.7204 | + | 15.8823i | −2.73938 | + | 0.582274i | ||||
\(745\) | 12.4123 | + | 2.63832i | 0.454753 | + | 0.0966607i | ||||
\(746\) | −0.418852 | − | 3.98511i | −0.0153353 | − | 0.145905i | ||||
\(747\) | 8.23336 | + | 14.2606i | 0.301243 | + | 0.521768i | ||||
\(748\) | 0.296257 | + | 0.133536i | 0.0108322 | + | 0.00488256i | ||||
\(749\) | 12.5720 | − | 15.3588i | 0.459371 | − | 0.561199i | ||||
\(750\) | −25.2661 | + | 18.3569i | −0.922587 | + | 0.670299i | ||||
\(751\) | 26.3550 | − | 29.2702i | 0.961707 | − | 1.06808i | −0.0359284 | − | 0.999354i | \(-0.511439\pi\) |
0.997635 | − | 0.0687294i | \(-0.0218945\pi\) | |||||||
\(752\) | −18.2778 | − | 20.2995i | −0.666521 | − | 0.740247i | ||||
\(753\) | 21.4516 | − | 9.55087i | 0.781740 | − | 0.348053i | ||||
\(754\) | 4.37409 | − | 41.6167i | 0.159295 | − | 1.51559i | ||||
\(755\) | −6.02970 | + | 18.5575i | −0.219443 | + | 0.675377i | ||||
\(756\) | −2.20046 | − | 14.3836i | −0.0800300 | − | 0.523126i | ||||
\(757\) | 18.9361 | − | 13.7579i | 0.688244 | − | 0.500039i | −0.187838 | − | 0.982200i | \(-0.560148\pi\) |
0.876082 | + | 0.482161i | \(0.160148\pi\) | |||||||
\(758\) | 23.3807 | + | 40.4966i | 0.849226 | + | 1.47090i | ||||
\(759\) | −5.98819 | − | 18.7219i | −0.217357 | − | 0.679564i | ||||
\(760\) | −36.0749 | + | 62.4836i | −1.30858 | + | 2.26652i | ||||
\(761\) | −12.6794 | − | 5.64525i | −0.459630 | − | 0.204640i | 0.163842 | − | 0.986487i | \(-0.447611\pi\) |
−0.623471 | + | 0.781846i | \(0.714278\pi\) | |||||||
\(762\) | −12.2357 | − | 37.6575i | −0.443252 | − | 1.36419i | ||||
\(763\) | −1.43562 | + | 2.78120i | −0.0519728 | + | 0.100686i | ||||
\(764\) | −25.8537 | − | 18.7838i | −0.935354 | − | 0.679574i | ||||
\(765\) | 0.00267666 | − | 0.0254667i | 9.67749e−5 | − | 0.000920751i | ||||
\(766\) | −37.4096 | − | 41.5476i | −1.35166 | − | 1.50118i | ||||
\(767\) | −10.9446 | − | 2.32634i | −0.395186 | − | 0.0839994i | ||||
\(768\) | −44.5579 | − | 19.8385i | −1.60784 | − | 0.715859i | ||||
\(769\) | −24.4963 | −0.883359 | −0.441680 | − | 0.897173i | \(-0.645617\pi\) | ||||
−0.441680 | + | 0.897173i | \(0.645617\pi\) | |||||||
\(770\) | 15.9841 | − | 30.6200i | 0.576028 | − | 1.10347i | ||||
\(771\) | 17.7454 | 0.639083 | ||||||||
\(772\) | 69.7699 | + | 31.0636i | 2.51107 | + | 1.11800i | ||||
\(773\) | −4.43543 | − | 0.942779i | −0.159531 | − | 0.0339094i | 0.127454 | − | 0.991845i | \(-0.459320\pi\) |
−0.286985 | + | 0.957935i | \(0.592653\pi\) | |||||||
\(774\) | 1.37335 | + | 1.52526i | 0.0493640 | + | 0.0548243i | ||||
\(775\) | 2.44439 | − | 23.2568i | 0.0878051 | − | 0.835409i | ||||
\(776\) | 27.4237 | + | 19.9245i | 0.984455 | + | 0.715248i | ||||
\(777\) | −5.54254 | + | 0.261176i | −0.198838 | + | 0.00936963i | ||||
\(778\) | 24.1235 | + | 74.2446i | 0.864870 | + | 2.66180i | ||||
\(779\) | 4.51748 | + | 2.01131i | 0.161856 | + | 0.0720627i | ||||
\(780\) | 15.8534 | − | 27.4588i | 0.567642 | − | 0.983184i | ||||
\(781\) | 12.6511 | + | 9.28065i | 0.452692 | + | 0.332088i | ||||
\(782\) | 0.144575 | + | 0.250410i | 0.00516998 | + | 0.00895466i | ||||
\(783\) | −3.08208 | + | 2.23926i | −0.110145 | + | 0.0800247i | ||||
\(784\) | −1.12552 | + | 106.728i | −0.0401972 | + | 3.81170i | ||||
\(785\) | −2.17564 | + | 6.69592i | −0.0776518 | + | 0.238988i | ||||
\(786\) | −0.0773248 | + | 0.735697i | −0.00275809 | + | 0.0262414i | ||||
\(787\) | 34.0456 | − | 15.1581i | 1.21359 | − | 0.540327i | 0.302747 | − | 0.953071i | \(-0.402096\pi\) |
0.910847 | + | 0.412744i | \(0.135430\pi\) | |||||||
\(788\) | −11.9750 | − | 13.2996i | −0.426592 | − | 0.473778i | ||||
\(789\) | −8.45743 | + | 9.39292i | −0.301092 | + | 0.334397i | ||||
\(790\) | 46.7714 | − | 33.9814i | 1.66405 | − | 1.20900i | ||||
\(791\) | −2.27388 | − | 6.01832i | −0.0808499 | − | 0.213987i | ||||
\(792\) | 3.46788 | − | 31.5977i | 0.123226 | − | 1.12277i | ||||
\(793\) | 25.1024 | + | 43.4787i | 0.891413 | + | 1.54397i | ||||
\(794\) | 0.549146 | + | 5.22477i | 0.0194884 | + | 0.185420i | ||||
\(795\) | −0.0123342 | − | 0.00262172i | −0.000437450 | − | 9.29828e-5i | ||||
\(796\) | −77.1085 | + | 16.3899i | −2.73304 | + | 0.580925i | ||||
\(797\) | −12.4725 | − | 9.06178i | −0.441798 | − | 0.320985i | 0.344551 | − | 0.938768i | \(-0.388031\pi\) |
−0.786349 | + | 0.617783i | \(0.788031\pi\) | |||||||
\(798\) | 36.7058 | − | 9.62814i | 1.29937 | − | 0.340833i | ||||
\(799\) | −0.00986245 | + | 0.0303535i | −0.000348909 | + | 0.00107383i | ||||
\(800\) | 44.3457 | − | 49.2509i | 1.56786 | − | 1.74128i | ||||
\(801\) | 0.475854 | + | 4.52745i | 0.0168135 | + | 0.159969i | ||||
\(802\) | 33.7785 | − | 58.5061i | 1.19276 | − | 2.06592i | ||||
\(803\) | −7.45028 | − | 8.35120i | −0.262915 | − | 0.294708i | ||||
\(804\) | −54.0830 | −1.90736 | ||||||||
\(805\) | 20.1354 | − | 10.1261i | 0.709679 | − | 0.356898i | ||||
\(806\) | 27.0536 | + | 83.2625i | 0.952924 | + | 2.93280i | ||||
\(807\) | 12.9884 | − | 2.76077i | 0.457213 | − | 0.0971836i | ||||
\(808\) | 122.792 | − | 54.6706i | 4.31982 | − | 1.92331i | ||||
\(809\) | 19.1888 | − | 8.54342i | 0.674643 | − | 0.300370i | −0.0406719 | − | 0.999173i | \(-0.512950\pi\) |
0.715315 | + | 0.698802i | \(0.246283\pi\) | |||||||
\(810\) | −3.85028 | + | 0.818403i | −0.135285 | + | 0.0287558i | ||||
\(811\) | −6.79762 | − | 20.9209i | −0.238697 | − | 0.734633i | −0.996609 | − | 0.0822773i | \(-0.973781\pi\) |
0.757913 | − | 0.652356i | \(-0.226219\pi\) | |||||||
\(812\) | 49.5242 | − | 24.9058i | 1.73796 | − | 0.874022i | ||||
\(813\) | −13.2459 | −0.464554 | ||||||||
\(814\) | −18.6139 | − | 4.04596i | −0.652415 | − | 0.141811i | ||||
\(815\) | −12.1594 | + | 21.0607i | −0.425925 | + | 0.737724i | ||||
\(816\) | 0.0283943 | + | 0.270154i | 0.000993999 | + | 0.00945727i | ||||
\(817\) | −2.62645 | + | 2.91697i | −0.0918879 | + | 0.102052i | ||||
\(818\) | −8.34213 | + | 25.6744i | −0.291676 | + | 0.897686i | ||||
\(819\) | −10.2646 | + | 2.69248i | −0.358676 | + | 0.0940828i | ||||
\(820\) | 6.03837 | + | 4.38713i | 0.210869 | + | 0.153205i | ||||
\(821\) | 29.9102 | − | 6.35761i | 1.04387 | − | 0.221882i | 0.346097 | − | 0.938199i | \(-0.387507\pi\) |
0.697776 | + | 0.716316i | \(0.254173\pi\) | |||||||
\(822\) | 37.0388 | + | 7.87285i | 1.29188 | + | 0.274597i | ||||
\(823\) | 3.48638 | + | 33.1706i | 0.121527 | + | 1.15626i | 0.869987 | + | 0.493075i | \(0.164127\pi\) |
−0.748459 | + | 0.663181i | \(0.769206\pi\) | |||||||
\(824\) | 5.97795 | + | 10.3541i | 0.208252 | + | 0.360703i | ||||
\(825\) | 8.87141 | + | 3.99874i | 0.308863 | + | 0.139218i | ||||
\(826\) | −7.14396 | − | 18.9080i | −0.248570 | − | 0.657895i | ||||
\(827\) | −39.3348 | + | 28.5784i | −1.36781 | + | 0.993769i | −0.369901 | + | 0.929071i | \(0.620609\pi\) |
−0.997905 | + | 0.0646985i | \(0.979391\pi\) | |||||||
\(828\) | 21.8101 | − | 24.2226i | 0.757954 | − | 0.841794i | ||||
\(829\) | −23.3012 | − | 25.8786i | −0.809285 | − | 0.898803i | 0.187221 | − | 0.982318i | \(-0.440052\pi\) |
−0.996506 | + | 0.0835153i | \(0.973385\pi\) | |||||||
\(830\) | −59.2141 | + | 26.3638i | −2.05535 | + | 0.915102i | ||||
\(831\) | 0.871150 | − | 8.28844i | 0.0302198 | − | 0.287523i | ||||
\(832\) | −38.8737 | + | 119.641i | −1.34770 | + | 4.14780i | ||||
\(833\) | 0.108651 | − | 0.0612113i | 0.00376454 | − | 0.00212084i | ||||
\(834\) | −14.3101 | + | 10.3969i | −0.495519 | + | 0.360015i | ||||
\(835\) | 4.74308 | + | 8.21526i | 0.164141 | + | 0.284301i | ||||
\(836\) | 95.5312 | + | 0.438849i | 3.30402 | + | 0.0151779i | ||||
\(837\) | 3.98516 | − | 6.90250i | 0.137747 | − | 0.238585i | ||||
\(838\) | −98.6256 | − | 43.9109i | −3.40696 | − | 1.51688i | ||||
\(839\) | −11.7043 | − | 36.0220i | −0.404076 | − | 1.24362i | −0.921664 | − | 0.387988i | \(-0.873170\pi\) |
0.517588 | − | 0.855630i | \(-0.326830\pi\) | |||||||
\(840\) | 36.4075 | − | 1.71560i | 1.25618 | − | 0.0591938i | ||||
\(841\) | 11.7198 | + | 8.51495i | 0.404132 | + | 0.293619i | ||||
\(842\) | 7.81990 | − | 74.4014i | 0.269492 | − | 2.56404i | ||||
\(843\) | 3.29620 | + | 3.66081i | 0.113527 | + | 0.126085i | ||||
\(844\) | −57.4204 | − | 12.2051i | −1.97649 | − | 0.420116i | ||||
\(845\) | −4.05417 | − | 1.80503i | −0.139468 | − | 0.0620950i | ||||
\(846\) | 4.90605 | 0.168674 | ||||||||
\(847\) | −29.0824 | + | 1.10274i | −0.999282 | + | 0.0378906i | ||||
\(848\) | 0.133766 | 0.00459354 | ||||||||
\(849\) | 28.1190 | + | 12.5194i | 0.965042 | + | 0.429664i | ||||
\(850\) | −0.140017 | − | 0.0297615i | −0.00480254 | − | 0.00102081i | ||||
\(851\) | −8.31683 | − | 9.23677i | −0.285097 | − | 0.316632i | ||||
\(852\) | −2.71961 | + | 25.8754i | −0.0931724 | + | 0.886476i | ||||
\(853\) | −40.2256 | − | 29.2256i | −1.37730 | − | 1.00067i | −0.997127 | − | 0.0757497i | \(-0.975865\pi\) |
−0.380171 | − | 0.924916i | \(-0.624135\pi\) | |||||||
\(854\) | −41.5992 | + | 80.5898i | −1.42350 | + | 2.75773i | ||||
\(855\) | −2.32627 | − | 7.15951i | −0.0795566 | − | 0.244850i | ||||
\(856\) | 65.6840 | + | 29.2444i | 2.24503 | + | 0.999553i | ||||
\(857\) | −21.2192 | + | 36.7527i | −0.724833 | + | 1.25545i | 0.234210 | + | 0.972186i | \(0.424750\pi\) |
−0.959043 | + | 0.283261i | \(0.908584\pi\) | |||||||
\(858\) | −36.4300 | − | 0.167351i | −1.24370 | − | 0.00571328i | ||||
\(859\) | 17.7102 | + | 30.6749i | 0.604263 | + | 1.04661i | 0.992168 | + | 0.124914i | \(0.0398656\pi\) |
−0.387905 | + | 0.921699i | \(0.626801\pi\) | |||||||
\(860\) | −4.79305 | + | 3.48235i | −0.163442 | + | 0.118747i | ||||
\(861\) | −0.377769 | − | 2.46934i | −0.0128743 | − | 0.0841547i | ||||
\(862\) | −31.4885 | + | 96.9117i | −1.07250 | + | 3.30083i | ||||
\(863\) | 2.71477 | − | 25.8293i | 0.0924117 | − | 0.879239i | −0.845875 | − | 0.533381i | \(-0.820921\pi\) |
0.938287 | − | 0.345858i | \(-0.112412\pi\) | |||||||
\(864\) | 20.6353 | − | 9.18743i | 0.702028 | − | 0.312563i | ||||
\(865\) | −25.0668 | − | 27.8395i | −0.852296 | − | 0.946570i | ||||
\(866\) | −21.9320 | + | 24.3579i | −0.745278 | + | 0.827716i | ||||
\(867\) | −13.7530 | + | 9.99216i | −0.467077 | + | 0.339352i | ||||
\(868\) | −73.4601 | + | 89.7440i | −2.49340 | + | 3.04611i | ||||
\(869\) | −44.4086 | − | 20.0169i | −1.50646 | − | 0.679028i | ||||
\(870\) | −7.49798 | − | 12.9869i | −0.254205 | − | 0.440297i | ||||
\(871\) | 4.12285 | + | 39.2263i | 0.139697 | + | 1.32913i | ||||
\(872\) | −11.0902 | − | 2.35730i | −0.375563 | − | 0.0798283i | ||||
\(873\) | −3.45951 | + | 0.735342i | −0.117087 | + | 0.0248875i | ||||
\(874\) | 68.7698 | + | 49.9642i | 2.32617 | + | 1.69006i | ||||
\(875\) | −7.96269 | + | 29.1025i | −0.269188 | + | 0.983844i | ||||
\(876\) | 5.73477 | − | 17.6498i | 0.193760 | − | 0.596331i | ||||
\(877\) | −14.4227 | + | 16.0180i | −0.487019 | + | 0.540889i | −0.935697 | − | 0.352804i | \(-0.885228\pi\) |
0.448678 | + | 0.893693i | \(0.351895\pi\) | |||||||
\(878\) | −4.12845 | − | 39.2796i | −0.139328 | − | 1.32562i | ||||
\(879\) | −3.97129 | + | 6.87848i | −0.133948 | + | 0.232005i | ||||
\(880\) | 71.0297 | + | 15.4392i | 2.39441 | + | 0.520456i | ||||
\(881\) | 55.3341 | 1.86425 | 0.932126 | − | 0.362133i | \(-0.117952\pi\) | ||||
0.932126 | + | 0.362133i | \(0.117952\pi\) | |||||||
\(882\) | −14.1100 | − | 12.9767i | −0.475108 | − | 0.436949i | ||||
\(883\) | 9.26599 | + | 28.5178i | 0.311826 | + | 0.959700i | 0.977041 | + | 0.213049i | \(0.0683395\pi\) |
−0.665216 | + | 0.746651i | \(0.731661\pi\) | |||||||
\(884\) | 0.384401 | − | 0.0817069i | 0.0129288 | − | 0.00274810i | ||||
\(885\) | −3.66308 | + | 1.63091i | −0.123133 | + | 0.0548223i | ||||
\(886\) | 30.4323 | − | 13.5493i | 1.02239 | − | 0.455198i | ||||
\(887\) | 4.33957 | − | 0.922404i | 0.145709 | − | 0.0309713i | −0.134480 | − | 0.990916i | \(-0.542936\pi\) |
0.280188 | + | 0.959945i | \(0.409603\pi\) | |||||||
\(888\) | −6.21130 | − | 19.1164i | −0.208438 | − | 0.641505i | ||||
\(889\) | −31.9718 | − | 21.0032i | −1.07230 | − | 0.704426i | ||||
\(890\) | −17.9196 | −0.600665 | ||||||||
\(891\) | 2.20791 | + | 2.47490i | 0.0739677 | + | 0.0829123i | ||||
\(892\) | −10.5777 | + | 18.3210i | −0.354166 | + | 0.613434i | ||||
\(893\) | 0.980743 | + | 9.33115i | 0.0328193 | + | 0.312255i | ||||
\(894\) | 16.1777 | − | 17.9672i | 0.541064 | − | 0.600913i | ||||
\(895\) | −4.09553 | + | 12.6048i | −0.136899 | + | 0.421330i | ||||
\(896\) | −104.198 | + | 27.3319i | −3.48102 | + | 0.913093i | ||||
\(897\) | −19.2312 | − | 13.9723i | −0.642112 | − | 0.466522i | ||||
\(898\) | −26.5410 | + | 5.64146i | −0.885684 | + | 0.188258i | ||||
\(899\) | 29.7007 | + | 6.31307i | 0.990573 | + | 0.210553i | ||||
\(900\) | 1.68670 | + | 16.0478i | 0.0562232 | + | 0.534928i | ||||
\(901\) | −7.81458e−5 | 0 | 0.000135352i | −2.60341e−6 | 0 | 4.50925e-6i | ||||
\(902\) | 0.935584 | − | 8.52460i | 0.0311515 | − | 0.283838i | ||||
\(903\) | 1.95680 | + | 0.320512i | 0.0651183 | + | 0.0106660i | ||||
\(904\) | 18.8547 | − | 13.6987i | 0.627097 | − | 0.455613i | ||||
\(905\) | −9.01561 | + | 10.0128i | −0.299689 | + | 0.332838i | ||||
\(906\) | 24.8761 | + | 27.6277i | 0.826453 | + | 0.917869i | ||||
\(907\) | −27.5783 | + | 12.2787i | −0.915724 | + | 0.407706i | −0.809826 | − | 0.586671i | \(-0.800438\pi\) |
−0.105898 | + | 0.994377i | \(0.533772\pi\) | |||||||
\(908\) | 0.901944 | − | 8.58142i | 0.0299321 | − | 0.284785i | ||||
\(909\) | −4.33375 | + | 13.3379i | −0.143742 | + | 0.442391i | ||||
\(910\) | −6.31690 | − | 41.2913i | −0.209403 | − | 1.36879i | ||||
\(911\) | 31.6179 | − | 22.9717i | 1.04755 | − | 0.761087i | 0.0758021 | − | 0.997123i | \(-0.475848\pi\) |
0.971744 | + | 0.236036i | \(0.0758483\pi\) | |||||||
\(912\) | 39.9286 | + | 69.1584i | 1.32217 | + | 2.29006i | ||||
\(913\) | 44.0356 | + | 32.3039i | 1.45737 | + | 1.06910i | ||||
\(914\) | 22.7957 | − | 39.4833i | 0.754014 | − | 1.30599i | ||||
\(915\) | 16.4360 | + | 7.31779i | 0.543358 | + | 0.241919i | ||||
\(916\) | 42.6579 | + | 131.288i | 1.40946 | + | 4.33786i | ||||
\(917\) | 0.386076 | + | 0.601423i | 0.0127493 | + | 0.0198608i | ||||
\(918\) | −0.0394706 | − | 0.0286771i | −0.00130273 | − | 0.000946485i | ||||
\(919\) | −2.98394 | + | 28.3903i | −0.0984311 | + | 0.936509i | 0.828174 | + | 0.560472i | \(0.189380\pi\) |
−0.926605 | + | 0.376037i | \(0.877286\pi\) | |||||||
\(920\) | 54.6311 | + | 60.6740i | 1.80114 | + | 2.00036i | ||||
\(921\) | −7.91504 | − | 1.68239i | −0.260809 | − | 0.0554367i | ||||
\(922\) | 85.6880 | + | 38.1508i | 2.82199 | + | 1.25643i | ||||
\(923\) | 18.9747 | 0.624560 | ||||||||
\(924\) | −25.8837 | − | 40.7316i | −0.851511 | − | 1.33997i | ||||
\(925\) | 6.15321 | 0.202316 | ||||||||
\(926\) | 83.1848 | + | 37.0363i | 2.73362 | + | 1.21709i | ||||
\(927\) | −1.22019 | − | 0.259360i | −0.0400764 | − | 0.00851849i | ||||
\(928\) | 57.5808 | + | 63.9500i | 1.89018 | + | 2.09926i | ||||
\(929\) | −4.87410 | + | 46.3740i | −0.159914 | + | 1.52148i | 0.560627 | + | 0.828069i | \(0.310560\pi\) |
−0.720541 | + | 0.693412i | \(0.756106\pi\) | |||||||
\(930\) | 25.3818 | + | 18.4409i | 0.832301 | + | 0.604702i | ||||
\(931\) | 21.8606 | − | 29.4308i | 0.716453 | − | 0.964557i | ||||
\(932\) | −2.96956 | − | 9.13936i | −0.0972711 | − | 0.299370i | ||||
\(933\) | −14.3630 | − | 6.39482i | −0.470224 | − | 0.209357i | ||||
\(934\) | −4.23701 | + | 7.33871i | −0.138639 | + | 0.240130i | ||||
\(935\) | −0.0258731 | − | 0.0808918i | −0.000846142 | − | 0.00264545i | ||||
\(936\) | −19.2209 | − | 33.2915i | −0.628254 | − | 1.08817i | ||||
\(937\) | 4.18597 | − | 3.04128i | 0.136750 | − | 0.0993544i | −0.517307 | − | 0.855800i | \(-0.673066\pi\) |
0.654057 | + | 0.756445i | \(0.273066\pi\) | |||||||
\(938\) | −55.6080 | + | 44.5471i | −1.81567 | + | 1.45451i | ||||
\(939\) | −8.73426 | + | 26.8813i | −0.285032 | + | 0.877238i | ||||
\(940\) | −1.48030 | + | 14.0842i | −0.0482822 | + | 0.459375i | ||||
\(941\) | −33.6954 | + | 15.0022i | −1.09844 | + | 0.489057i | −0.874244 | − | 0.485487i | \(-0.838642\pi\) |
−0.224196 | + | 0.974544i | \(0.571976\pi\) | |||||||
\(942\) | 8.97579 | + | 9.96862i | 0.292447 | + | 0.324795i | ||||
\(943\) | 3.74430 | − | 4.15847i | 0.121931 | − | 0.135418i | ||||
\(944\) | 34.4121 | − | 25.0019i | 1.12002 | − | 0.813741i | ||||
\(945\) | −2.40879 | + | 2.94274i | −0.0783579 | + | 0.0957275i | ||||
\(946\) | 6.20587 | + | 2.79726i | 0.201770 | + | 0.0909468i | ||||
\(947\) | −12.7623 | − | 22.1050i | −0.414719 | − | 0.718315i | 0.580679 | − | 0.814132i | \(-0.302787\pi\) |
−0.995399 | + | 0.0958170i | \(0.969454\pi\) | |||||||
\(948\) | −8.44328 | − | 80.3324i | −0.274225 | − | 2.60908i | ||||
\(949\) | −13.2385 | − | 2.81394i | −0.429741 | − | 0.0913443i | ||||
\(950\) | −41.1622 | + | 8.74930i | −1.33548 | + | 0.283865i | ||||
\(951\) | 7.66204 | + | 5.56680i | 0.248459 | + | 0.180516i | ||||
\(952\) | 0.317749 | + | 0.321118i | 0.0102983 | + | 0.0104075i | ||||
\(953\) | −3.88343 | + | 11.9520i | −0.125797 | + | 0.387163i | −0.994045 | − | 0.108967i | \(-0.965246\pi\) |
0.868249 | + | 0.496129i | \(0.165246\pi\) | |||||||
\(954\) | −0.0160759 | + | 0.0178541i | −0.000520477 | + | 0.000578049i | ||||
\(955\) | 0.873017 | + | 8.30620i | 0.0282502 | + | 0.268782i | ||||
\(956\) | 56.3472 | − | 97.5962i | 1.82240 | − | 3.15649i | ||||
\(957\) | −6.36780 | + | 10.9133i | −0.205842 | + | 0.352776i | ||||
\(958\) | −85.1828 | −2.75213 | ||||||||
\(959\) | 32.6828 | − | 16.4362i | 1.05538 | − | 0.530753i | ||||
\(960\) | 13.9308 | + | 42.8747i | 0.449616 | + | 1.38377i | ||||
\(961\) | −31.8153 | + | 6.76255i | −1.02630 | + | 0.218147i | ||||
\(962\) | −21.0445 | + | 9.36962i | −0.678502 | + | 0.302089i | ||||
\(963\) | −6.85332 | + | 3.05129i | −0.220845 | + | 0.0983266i | ||||
\(964\) | 116.811 | − | 24.8289i | 3.76223 | − | 0.799686i | ||||
\(965\) | −6.16799 | − | 18.9831i | −0.198555 | − | 0.611088i | ||||
\(966\) | 2.47346 | − | 42.8702i | 0.0795822 | − | 1.37933i | ||||
\(967\) | 32.6669 | 1.05050 | 0.525249 | − | 0.850949i | \(-0.323972\pi\) | ||||
0.525249 | + | 0.850949i | \(0.323972\pi\) | |||||||
\(968\) | −31.6561 | − | 100.562i | −1.01747 | − | 3.23219i | ||||
\(969\) | 0.0466525 | − | 0.0808045i | 0.00149869 | − | 0.00259582i | ||||
\(970\) | −1.45524 | − | 13.8456i | −0.0467248 | − | 0.444557i | ||||
\(971\) | 9.04759 | − | 10.0484i | 0.290351 | − | 0.322467i | −0.580268 | − | 0.814426i | \(-0.697052\pi\) |
0.870619 | + | 0.491958i | \(0.163719\pi\) | |||||||
\(972\) | −1.69951 | + | 5.23056i | −0.0545119 | + | 0.167770i | ||||
\(973\) | −4.50988 | + | 16.4830i | −0.144580 | + | 0.528419i | ||||
\(974\) | −80.5751 | − | 58.5413i | −2.58179 | − | 1.87578i | ||||
\(975\) | 11.5109 | − | 2.44671i | 0.368643 | − | 0.0783575i | ||||
\(976\) | −186.685 | − | 39.6811i | −5.97563 | − | 1.27016i | ||||
\(977\) | −0.856992 | − | 8.15373i | −0.0274176 | − | 0.260861i | −0.999641 | − | 0.0268049i | \(-0.991467\pi\) |
0.972223 | − | 0.234056i | \(-0.0752000\pi\) | |||||||
\(978\) | 23.1670 | + | 40.1264i | 0.740799 | + | 1.28310i | ||||
\(979\) | 7.48913 | + | 13.1103i | 0.239354 | + | 0.419006i | ||||
\(980\) | 41.5106 | − | 36.5911i | 1.32601 | − | 1.16886i | ||||
\(981\) | 0.957051 | − | 0.695338i | 0.0305563 | − | 0.0222004i | ||||
\(982\) | 51.5424 | − | 57.2436i | 1.64478 | − | 1.82672i | ||||
\(983\) | −11.8771 | − | 13.1909i | −0.378822 | − | 0.420724i | 0.523339 | − | 0.852125i | \(-0.324686\pi\) |
−0.902160 | + | 0.431401i | \(0.858020\pi\) | |||||||
\(984\) | 8.26692 | − | 3.68067i | 0.263540 | − | 0.117335i | ||||
\(985\) | −0.488903 | + | 4.65160i | −0.0155777 | + | 0.148212i | ||||
\(986\) | 0.0574361 | − | 0.176770i | 0.00182914 | − | 0.00562951i | ||||
\(987\) | 3.69918 | − | 2.96338i | 0.117746 | − | 0.0943253i | ||||
\(988\) | 93.4664 | − | 67.9073i | 2.97356 | − | 2.16042i | ||||
\(989\) | 2.22086 | + | 3.84665i | 0.0706194 | + | 0.122316i | ||||
\(990\) | −10.5970 | + | 7.62508i | −0.336796 | + | 0.242341i | ||||
\(991\) | −22.0581 | + | 38.2057i | −0.700698 | + | 1.21365i | 0.267523 | + | 0.963551i | \(0.413795\pi\) |
−0.968222 | + | 0.250094i | \(0.919539\pi\) | |||||||
\(992\) | −164.470 | − | 73.2268i | −5.22193 | − | 2.32495i | ||||
\(993\) | −1.89387 | − | 5.82872i | −0.0601000 | − | 0.184969i | ||||
\(994\) | 18.5168 | + | 28.8451i | 0.587316 | + | 0.914912i | ||||
\(995\) | 16.6678 | + | 12.1099i | 0.528405 | + | 0.383909i | ||||
\(996\) | −9.46637 | + | 90.0665i | −0.299953 | + | 2.85387i | ||||
\(997\) | −17.0668 | − | 18.9546i | −0.540510 | − | 0.600298i | 0.409579 | − | 0.912275i | \(-0.365676\pi\) |
−0.950090 | + | 0.311977i | \(0.899009\pi\) | |||||||
\(998\) | −84.3732 | − | 17.9341i | −2.67079 | − | 0.567693i | ||||
\(999\) | 1.91589 | + | 0.853011i | 0.0606162 | + | 0.0269881i |
(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 | 231.2.y.a.25.1 | yes | 64 | |
3.2 | odd | 2 | 693.2.by.d.487.8 | 64 | |||
7.2 | even | 3 | inner | 231.2.y.a.58.8 | yes | 64 | |
11.4 | even | 5 | inner | 231.2.y.a.4.8 | ✓ | 64 | |
21.2 | odd | 6 | 693.2.by.d.289.1 | 64 | |||
33.26 | odd | 10 | 693.2.by.d.235.1 | 64 | |||
77.37 | even | 15 | inner | 231.2.y.a.37.1 | yes | 64 | |
231.191 | odd | 30 | 693.2.by.d.37.8 | 64 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
231.2.y.a.4.8 | ✓ | 64 | 11.4 | even | 5 | inner | |
231.2.y.a.25.1 | yes | 64 | 1.1 | even | 1 | trivial | |
231.2.y.a.37.1 | yes | 64 | 77.37 | even | 15 | inner | |
231.2.y.a.58.8 | yes | 64 | 7.2 | even | 3 | inner | |
693.2.by.d.37.8 | 64 | 231.191 | odd | 30 | |||
693.2.by.d.235.1 | 64 | 33.26 | odd | 10 | |||
693.2.by.d.289.1 | 64 | 21.2 | odd | 6 | |||
693.2.by.d.487.8 | 64 | 3.2 | odd | 2 |