Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [27,4,Mod(4,27)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(27, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("27.4");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 27 = 3^{3} \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 27.e (of order \(9\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.59305157015\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 22.5 | ||
Character | \(\chi\) | \(=\) | 27.22 |
Dual form | 27.4.e.a.16.5 |
$q$-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 \(\left(\mathbb{Z}/27\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{7}{9}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.644303 | − | 0.540635i | 0.227796 | − | 0.191143i | −0.521745 | − | 0.853101i | \(-0.674719\pi\) |
0.749541 | + | 0.661958i | \(0.230274\pi\) | |||||||
\(3\) | 0.739495 | + | 5.14326i | 0.142316 | + | 0.989821i | ||||
\(4\) | −1.26634 | + | 7.18180i | −0.158293 | + | 0.897725i | ||||
\(5\) | 10.1642 | − | 3.69948i | 0.909117 | − | 0.330892i | 0.155217 | − | 0.987880i | \(-0.450392\pi\) |
0.753900 | + | 0.656989i | \(0.228170\pi\) | |||||||
\(6\) | 3.25709 | + | 2.91402i | 0.221617 | + | 0.198274i | ||||
\(7\) | −4.63497 | − | 26.2862i | −0.250265 | − | 1.41932i | −0.807941 | − | 0.589264i | \(-0.799418\pi\) |
0.557676 | − | 0.830059i | \(-0.311693\pi\) | |||||||
\(8\) | 6.43113 | + | 11.1390i | 0.284219 | + | 0.492281i | ||||
\(9\) | −25.9063 | + | 7.60683i | −0.959492 | + | 0.281735i | ||||
\(10\) | 4.54878 | − | 7.87873i | 0.143845 | − | 0.249147i | ||||
\(11\) | 17.1115 | + | 6.22807i | 0.469028 | + | 0.170712i | 0.565712 | − | 0.824603i | \(-0.308601\pi\) |
−0.0966840 | + | 0.995315i | \(0.530824\pi\) | |||||||
\(12\) | −37.8743 | − | 1.20224i | −0.911115 | − | 0.0289214i | ||||
\(13\) | −27.1242 | − | 22.7599i | −0.578686 | − | 0.485575i | 0.305830 | − | 0.952086i | \(-0.401066\pi\) |
−0.884515 | + | 0.466511i | \(0.845511\pi\) | |||||||
\(14\) | −17.1976 | − | 14.4305i | −0.328303 | − | 0.275479i | ||||
\(15\) | 26.5438 | + | 49.5416i | 0.456905 | + | 0.852772i | ||||
\(16\) | −44.6566 | − | 16.2537i | −0.697759 | − | 0.253963i | ||||
\(17\) | 56.4726 | − | 97.8135i | 0.805684 | − | 1.39549i | −0.110145 | − | 0.993916i | \(-0.535131\pi\) |
0.915828 | − | 0.401570i | \(-0.131535\pi\) | |||||||
\(18\) | −12.5790 | + | 18.9070i | −0.164717 | + | 0.247578i | ||||
\(19\) | 9.33302 | + | 16.1653i | 0.112692 | + | 0.195188i | 0.916855 | − | 0.399221i | \(-0.130719\pi\) |
−0.804163 | + | 0.594409i | \(0.797386\pi\) | |||||||
\(20\) | 13.6975 | + | 77.6823i | 0.153143 | + | 0.868514i | ||||
\(21\) | 131.769 | − | 43.2774i | 1.36926 | − | 0.449710i | ||||
\(22\) | 14.3921 | − | 5.23830i | 0.139473 | − | 0.0507640i | ||||
\(23\) | −24.1953 | + | 137.218i | −0.219351 | + | 1.24400i | 0.653845 | + | 0.756628i | \(0.273155\pi\) |
−0.873196 | + | 0.487370i | \(0.837956\pi\) | |||||||
\(24\) | −52.5352 | + | 41.3143i | −0.446821 | + | 0.351385i | ||||
\(25\) | −6.13000 | + | 5.14368i | −0.0490400 | + | 0.0411494i | ||||
\(26\) | −29.7811 | −0.224636 | ||||||||
\(27\) | −58.2815 | − | 127.618i | −0.415418 | − | 0.909631i | ||||
\(28\) | 194.652 | 1.31378 | ||||||||
\(29\) | 61.6559 | − | 51.7354i | 0.394800 | − | 0.331277i | −0.423679 | − | 0.905812i | \(-0.639262\pi\) |
0.818480 | + | 0.574535i | \(0.194817\pi\) | |||||||
\(30\) | 43.8862 | + | 17.5693i | 0.267083 | + | 0.106923i | ||||
\(31\) | −42.0656 | + | 238.566i | −0.243716 | + | 1.38218i | 0.579739 | + | 0.814802i | \(0.303154\pi\) |
−0.823456 | + | 0.567381i | \(0.807957\pi\) | |||||||
\(32\) | −134.252 | + | 48.8638i | −0.741646 | + | 0.269937i | ||||
\(33\) | −19.3787 | + | 92.6145i | −0.102224 | + | 0.488549i | ||||
\(34\) | −16.4958 | − | 93.5526i | −0.0832063 | − | 0.471886i | ||||
\(35\) | −144.356 | − | 250.032i | −0.697162 | − | 1.20752i | ||||
\(36\) | −21.8244 | − | 195.687i | −0.101039 | − | 0.905957i | ||||
\(37\) | −16.7704 | + | 29.0472i | −0.0745145 | + | 0.129063i | −0.900875 | − | 0.434078i | \(-0.857074\pi\) |
0.826361 | + | 0.563141i | \(0.190407\pi\) | |||||||
\(38\) | 14.7528 | + | 5.36958i | 0.0629795 | + | 0.0229227i | ||||
\(39\) | 97.0021 | − | 156.338i | 0.398276 | − | 0.641900i | ||||
\(40\) | 106.576 | + | 89.4281i | 0.421279 | + | 0.353495i | ||||
\(41\) | −297.882 | − | 249.953i | −1.13467 | − | 0.952099i | −0.135416 | − | 0.990789i | \(-0.543237\pi\) |
−0.999251 | + | 0.0386895i | \(0.987682\pi\) | |||||||
\(42\) | 61.5022 | − | 99.1229i | 0.225952 | − | 0.364166i | ||||
\(43\) | −79.2414 | − | 28.8415i | −0.281028 | − | 0.102286i | 0.197661 | − | 0.980270i | \(-0.436666\pi\) |
−0.478689 | + | 0.877985i | \(0.658888\pi\) | |||||||
\(44\) | −66.3978 | + | 115.004i | −0.227496 | + | 0.394035i | ||||
\(45\) | −235.176 | + | 173.157i | −0.779067 | + | 0.573618i | ||||
\(46\) | 58.5958 | + | 101.491i | 0.187815 | + | 0.325305i | ||||
\(47\) | 80.1234 | + | 454.402i | 0.248664 | + | 1.41024i | 0.811828 | + | 0.583897i | \(0.198473\pi\) |
−0.563164 | + | 0.826345i | \(0.690416\pi\) | |||||||
\(48\) | 50.5735 | − | 241.700i | 0.152076 | − | 0.726800i | ||||
\(49\) | −347.168 | + | 126.359i | −1.01215 | + | 0.368393i | ||||
\(50\) | −1.16873 | + | 6.62818i | −0.00330566 | + | 0.0187473i | ||||
\(51\) | 544.842 | + | 218.121i | 1.49594 | + | 0.598883i | ||||
\(52\) | 197.806 | − | 165.979i | 0.527514 | − | 0.442637i | ||||
\(53\) | 351.057 | 0.909838 | 0.454919 | − | 0.890533i | \(-0.349668\pi\) | ||||
0.454919 | + | 0.890533i | \(0.349668\pi\) | |||||||
\(54\) | −106.546 | − | 50.7155i | −0.268500 | − | 0.127806i | ||||
\(55\) | 196.966 | 0.482888 | ||||||||
\(56\) | 262.995 | − | 220.679i | 0.627575 | − | 0.526598i | ||||
\(57\) | −76.2405 | + | 59.9563i | −0.177163 | + | 0.139323i | ||||
\(58\) | 11.7551 | − | 66.6666i | 0.0266125 | − | 0.150927i | ||||
\(59\) | −47.3108 | + | 17.2197i | −0.104396 | + | 0.0379969i | −0.393690 | − | 0.919243i | \(-0.628802\pi\) |
0.289294 | + | 0.957240i | \(0.406579\pi\) | |||||||
\(60\) | −389.411 | + | 127.895i | −0.837879 | + | 0.275187i | ||||
\(61\) | −24.6637 | − | 139.875i | −0.0517682 | − | 0.293592i | 0.947921 | − | 0.318504i | \(-0.103180\pi\) |
−0.999690 | + | 0.0249123i | \(0.992069\pi\) | |||||||
\(62\) | 101.874 | + | 176.451i | 0.208677 | + | 0.361440i | ||||
\(63\) | 320.030 | + | 645.721i | 0.639999 | + | 1.29132i | ||||
\(64\) | 130.008 | − | 225.181i | 0.253923 | − | 0.439807i | ||||
\(65\) | −359.897 | − | 130.992i | −0.686766 | − | 0.249962i | ||||
\(66\) | 37.5848 | + | 70.1486i | 0.0700965 | + | 0.130829i | ||||
\(67\) | −79.8993 | − | 67.0435i | −0.145690 | − | 0.122249i | 0.567030 | − | 0.823697i | \(-0.308093\pi\) |
−0.712720 | + | 0.701449i | \(0.752537\pi\) | |||||||
\(68\) | 630.963 | + | 529.440i | 1.12523 | + | 0.944178i | ||||
\(69\) | −723.641 | − | 22.9704i | −1.26255 | − | 0.0400770i | ||||
\(70\) | −228.185 | − | 83.0527i | −0.389620 | − | 0.141810i | ||||
\(71\) | 161.669 | − | 280.019i | 0.270234 | − | 0.468059i | −0.698688 | − | 0.715427i | \(-0.746232\pi\) |
0.968922 | + | 0.247368i | \(0.0795657\pi\) | |||||||
\(72\) | −251.340 | − | 239.651i | −0.411398 | − | 0.392266i | ||||
\(73\) | −292.351 | − | 506.366i | −0.468727 | − | 0.811859i | 0.530634 | − | 0.847601i | \(-0.321954\pi\) |
−0.999361 | + | 0.0357420i | \(0.988621\pi\) | |||||||
\(74\) | 4.89869 | + | 27.7819i | 0.00769543 | + | 0.0436429i | ||||
\(75\) | −30.9884 | − | 27.7245i | −0.0477098 | − | 0.0426846i | ||||
\(76\) | −127.914 | + | 46.5571i | −0.193063 | + | 0.0702692i | ||||
\(77\) | 84.4012 | − | 478.663i | 0.124914 | − | 0.708425i | ||||
\(78\) | −22.0229 | − | 153.172i | −0.0319693 | − | 0.222350i | ||||
\(79\) | −486.977 | + | 408.622i | −0.693534 | + | 0.581944i | −0.919926 | − | 0.392092i | \(-0.871751\pi\) |
0.226392 | + | 0.974036i | \(0.427307\pi\) | |||||||
\(80\) | −514.030 | −0.718379 | ||||||||
\(81\) | 613.272 | − | 394.130i | 0.841251 | − | 0.540644i | ||||
\(82\) | −327.060 | −0.440460 | ||||||||
\(83\) | 740.364 | − | 621.240i | 0.979103 | − | 0.821565i | −0.00485076 | − | 0.999988i | \(-0.501544\pi\) |
0.983954 | + | 0.178423i | \(0.0570996\pi\) | |||||||
\(84\) | 143.944 | + | 1001.14i | 0.186971 | + | 1.30040i | ||||
\(85\) | 212.142 | − | 1203.12i | 0.270707 | − | 1.53525i | ||||
\(86\) | −66.6483 | + | 24.2580i | −0.0835682 | + | 0.0304163i | ||||
\(87\) | 311.683 | + | 278.854i | 0.384091 | + | 0.343636i | ||||
\(88\) | 40.6714 | + | 230.659i | 0.0492681 | + | 0.279413i | ||||
\(89\) | 233.107 | + | 403.753i | 0.277633 | + | 0.480874i | 0.970796 | − | 0.239907i | \(-0.0771169\pi\) |
−0.693163 | + | 0.720781i | \(0.743784\pi\) | |||||||
\(90\) | −57.9100 | + | 238.710i | −0.0678250 | + | 0.279581i | ||||
\(91\) | −472.553 | + | 818.485i | −0.544363 | + | 0.942864i | ||||
\(92\) | −954.833 | − | 347.531i | −1.08205 | − | 0.393833i | ||||
\(93\) | −1258.11 | − | 39.9361i | −1.40280 | − | 0.0445288i | ||||
\(94\) | 297.289 | + | 249.455i | 0.326203 | + | 0.273717i | ||||
\(95\) | 154.666 | + | 129.780i | 0.167036 | + | 0.140160i | ||||
\(96\) | −350.598 | − | 654.360i | −0.372737 | − | 0.695681i | ||||
\(97\) | 1569.83 | + | 571.373i | 1.64322 | + | 0.598084i | 0.987598 | − | 0.157004i | \(-0.0501835\pi\) |
0.655624 | + | 0.755088i | \(0.272406\pi\) | |||||||
\(98\) | −155.367 | + | 269.104i | −0.160148 | + | 0.277384i | ||||
\(99\) | −490.671 | − | 31.1820i | −0.498124 | − | 0.0316557i | ||||
\(100\) | −29.1782 | − | 50.5381i | −0.0291782 | − | 0.0505381i | ||||
\(101\) | 243.204 | + | 1379.28i | 0.239601 | + | 1.35884i | 0.832705 | + | 0.553717i | \(0.186791\pi\) |
−0.593104 | + | 0.805126i | \(0.702098\pi\) | |||||||
\(102\) | 468.967 | − | 154.024i | 0.455242 | − | 0.149516i | ||||
\(103\) | 1702.75 | − | 619.749i | 1.62890 | − | 0.592871i | 0.643851 | − | 0.765151i | \(-0.277336\pi\) |
0.985048 | + | 0.172280i | \(0.0551134\pi\) | |||||||
\(104\) | 79.0845 | − | 448.510i | 0.0745661 | − | 0.422885i | ||||
\(105\) | 1179.23 | − | 927.360i | 1.09601 | − | 0.861915i | ||||
\(106\) | 226.187 | − | 189.794i | 0.207257 | − | 0.173909i | ||||
\(107\) | −501.812 | −0.453384 | −0.226692 | − | 0.973967i | \(-0.572791\pi\) | ||||
−0.226692 | + | 0.973967i | \(0.572791\pi\) | |||||||
\(108\) | 990.328 | − | 256.958i | 0.882356 | − | 0.228943i | ||||
\(109\) | −1311.94 | −1.15286 | −0.576428 | − | 0.817148i | \(-0.695554\pi\) | ||||
−0.576428 | + | 0.817148i | \(0.695554\pi\) | |||||||
\(110\) | 126.906 | − | 106.487i | 0.110000 | − | 0.0923009i | ||||
\(111\) | −161.799 | − | 64.7743i | −0.138354 | − | 0.0553884i | ||||
\(112\) | −220.265 | + | 1249.19i | −0.185831 | + | 1.05390i | ||||
\(113\) | 553.519 | − | 201.465i | 0.460803 | − | 0.167719i | −0.101179 | − | 0.994868i | \(-0.532261\pi\) |
0.561982 | + | 0.827150i | \(0.310039\pi\) | |||||||
\(114\) | −16.7075 | + | 79.8483i | −0.0137264 | + | 0.0656007i | ||||
\(115\) | 261.709 | + | 1484.23i | 0.212213 | + | 1.20352i | ||||
\(116\) | 293.476 | + | 508.315i | 0.234901 | + | 0.406861i | ||||
\(117\) | 875.820 | + | 383.296i | 0.692048 | + | 0.302870i | ||||
\(118\) | −21.1729 | + | 36.6726i | −0.0165180 | + | 0.0286100i | ||||
\(119\) | −2832.89 | − | 1031.09i | −2.18228 | − | 0.794284i | ||||
\(120\) | −381.139 | + | 614.281i | −0.289943 | + | 0.467299i | ||||
\(121\) | −765.591 | − | 642.407i | −0.575200 | − | 0.482650i | ||||
\(122\) | −91.5119 | − | 76.7876i | −0.0679107 | − | 0.0569838i | ||||
\(123\) | 1065.29 | − | 1716.92i | 0.780927 | − | 1.25862i | ||||
\(124\) | −1660.06 | − | 604.213i | −1.20224 | − | 0.437580i | ||||
\(125\) | −719.312 | + | 1245.89i | −0.514698 | + | 0.891483i | ||||
\(126\) | 555.295 | + | 243.021i | 0.392616 | + | 0.171826i | ||||
\(127\) | 480.719 | + | 832.630i | 0.335881 | + | 0.581763i | 0.983654 | − | 0.180071i | \(-0.0576326\pi\) |
−0.647773 | + | 0.761834i | \(0.724299\pi\) | |||||||
\(128\) | −236.446 | − | 1340.95i | −0.163274 | − | 0.925974i | ||||
\(129\) | 89.7409 | − | 428.888i | 0.0612499 | − | 0.292724i | ||||
\(130\) | −302.702 | + | 110.174i | −0.204221 | + | 0.0743303i | ||||
\(131\) | −99.7592 | + | 565.763i | −0.0665344 | + | 0.377335i | 0.933299 | + | 0.359099i | \(0.116916\pi\) |
−0.999834 | + | 0.0182359i | \(0.994195\pi\) | |||||||
\(132\) | −640.598 | − | 256.456i | −0.422401 | − | 0.169103i | ||||
\(133\) | 381.665 | − | 320.255i | 0.248832 | − | 0.208794i | ||||
\(134\) | −87.7254 | −0.0565547 | ||||||||
\(135\) | −1064.51 | − | 1081.52i | −0.678653 | − | 0.689502i | ||||
\(136\) | 1452.73 | 0.915961 | ||||||||
\(137\) | 180.781 | − | 151.693i | 0.112738 | − | 0.0945987i | −0.584676 | − | 0.811267i | \(-0.698778\pi\) |
0.697414 | + | 0.716668i | \(0.254334\pi\) | |||||||
\(138\) | −478.663 | + | 376.426i | −0.295265 | + | 0.232199i | ||||
\(139\) | 101.240 | − | 574.163i | 0.0617777 | − | 0.350359i | −0.938213 | − | 0.346058i | \(-0.887520\pi\) |
0.999991 | − | 0.00430070i | \(-0.00136896\pi\) | |||||||
\(140\) | 1978.49 | − | 720.110i | 1.19438 | − | 0.434717i | ||||
\(141\) | −2277.86 | + | 748.124i | −1.36050 | + | 0.446833i | ||||
\(142\) | −47.2241 | − | 267.821i | −0.0279082 | − | 0.158275i | ||||
\(143\) | −322.386 | − | 558.388i | −0.188526 | − | 0.326537i | ||||
\(144\) | 1280.53 | + | 81.3770i | 0.741045 | + | 0.0470932i | ||||
\(145\) | 435.291 | − | 753.946i | 0.249303 | − | 0.431805i | ||||
\(146\) | −462.122 | − | 168.199i | −0.261955 | − | 0.0953439i | ||||
\(147\) | −906.624 | − | 1692.13i | −0.508688 | − | 0.949420i | ||||
\(148\) | −187.374 | − | 157.225i | −0.104068 | − | 0.0873233i | ||||
\(149\) | −243.212 | − | 204.079i | −0.133723 | − | 0.112207i | 0.573473 | − | 0.819224i | \(-0.305596\pi\) |
−0.707196 | + | 0.707018i | \(0.750040\pi\) | |||||||
\(150\) | −34.9547 | − | 1.10956i | −0.0190270 | − | 0.000603970i | ||||
\(151\) | 1368.57 | + | 498.120i | 0.737568 | + | 0.268453i | 0.683365 | − | 0.730077i | \(-0.260516\pi\) |
0.0542035 | + | 0.998530i | \(0.482738\pi\) | |||||||
\(152\) | −120.044 | + | 207.922i | −0.0640581 | + | 0.110952i | ||||
\(153\) | −718.946 | + | 2963.56i | −0.379891 | + | 1.56595i | ||||
\(154\) | −204.402 | − | 354.034i | −0.106956 | − | 0.185253i | ||||
\(155\) | 455.005 | + | 2580.46i | 0.235786 | + | 1.33721i | ||||
\(156\) | 999.950 | + | 894.627i | 0.513205 | + | 0.459151i | ||||
\(157\) | 352.082 | − | 128.148i | 0.178976 | − | 0.0651419i | −0.250978 | − | 0.967993i | \(-0.580752\pi\) |
0.429954 | + | 0.902851i | \(0.358530\pi\) | |||||||
\(158\) | −92.8455 | + | 526.553i | −0.0467493 | + | 0.265129i | ||||
\(159\) | 259.605 | + | 1805.58i | 0.129484 | + | 0.900577i | ||||
\(160\) | −1183.80 | + | 993.327i | −0.584923 | + | 0.490809i | ||||
\(161\) | 3719.09 | 1.82053 | ||||||||
\(162\) | 182.053 | − | 585.495i | 0.0882928 | − | 0.283956i | ||||
\(163\) | −2543.28 | −1.22212 | −0.611059 | − | 0.791585i | \(-0.709256\pi\) | ||||
−0.611059 | + | 0.791585i | \(0.709256\pi\) | |||||||
\(164\) | 2172.33 | − | 1822.80i | 1.03433 | − | 0.867908i | ||||
\(165\) | 145.655 | + | 1013.05i | 0.0687227 | + | 0.477973i | ||||
\(166\) | 141.156 | − | 800.533i | 0.0659988 | − | 0.374298i | ||||
\(167\) | −2190.39 | + | 797.238i | −1.01496 | + | 0.369414i | −0.795334 | − | 0.606171i | \(-0.792705\pi\) |
−0.219622 | + | 0.975585i | \(0.570483\pi\) | |||||||
\(168\) | 1329.49 | + | 1189.46i | 0.610552 | + | 0.546244i | ||||
\(169\) | −163.795 | − | 928.930i | −0.0745541 | − | 0.422817i | ||||
\(170\) | −513.764 | − | 889.865i | −0.231787 | − | 0.401468i | ||||
\(171\) | −364.751 | − | 347.787i | −0.163118 | − | 0.155532i | ||||
\(172\) | 307.481 | − | 532.573i | 0.136309 | − | 0.236095i | ||||
\(173\) | 3603.90 | + | 1311.71i | 1.58381 | + | 0.576461i | 0.976029 | − | 0.217642i | \(-0.0698364\pi\) |
0.607784 | + | 0.794102i | \(0.292059\pi\) | |||||||
\(174\) | 351.577 | + | 11.1600i | 0.153178 | + | 0.00486230i | ||||
\(175\) | 163.620 | + | 137.294i | 0.0706773 | + | 0.0593053i | ||||
\(176\) | −662.911 | − | 556.249i | −0.283914 | − | 0.238232i | ||||
\(177\) | −123.552 | − | 230.598i | −0.0524673 | − | 0.0979254i | ||||
\(178\) | 368.475 | + | 134.114i | 0.155159 | + | 0.0564734i | ||||
\(179\) | 813.490 | − | 1409.01i | 0.339682 | − | 0.588347i | −0.644691 | − | 0.764444i | \(-0.723014\pi\) |
0.984373 | + | 0.176097i | \(0.0563471\pi\) | |||||||
\(180\) | −945.767 | − | 1908.27i | −0.391630 | − | 0.790187i | ||||
\(181\) | −641.734 | − | 1111.52i | −0.263534 | − | 0.456455i | 0.703644 | − | 0.710553i | \(-0.251555\pi\) |
−0.967179 | + | 0.254097i | \(0.918222\pi\) | |||||||
\(182\) | 138.034 | + | 782.831i | 0.0562186 | + | 0.318831i | ||||
\(183\) | 701.173 | − | 230.288i | 0.283236 | − | 0.0930240i | ||||
\(184\) | −1684.08 | + | 612.956i | −0.674740 | + | 0.245585i | ||||
\(185\) | −62.9989 | + | 357.284i | −0.0250366 | + | 0.141990i | ||||
\(186\) | −832.197 | + | 654.449i | −0.328063 | + | 0.257992i | ||||
\(187\) | 1575.52 | − | 1322.02i | 0.616115 | − | 0.516982i | ||||
\(188\) | −3364.89 | −1.30537 | ||||||||
\(189\) | −3084.45 | + | 2123.50i | −1.18709 | + | 0.817260i | ||||
\(190\) | 169.816 | 0.0648406 | ||||||||
\(191\) | −161.401 | + | 135.431i | −0.0611443 | + | 0.0513061i | −0.672848 | − | 0.739781i | \(-0.734929\pi\) |
0.611703 | + | 0.791087i | \(0.290485\pi\) | |||||||
\(192\) | 1254.31 | + | 502.147i | 0.471468 | + | 0.188747i | ||||
\(193\) | −327.542 | + | 1857.58i | −0.122161 | + | 0.692807i | 0.860793 | + | 0.508955i | \(0.169968\pi\) |
−0.982954 | + | 0.183852i | \(0.941143\pi\) | |||||||
\(194\) | 1320.35 | − | 480.569i | 0.488638 | − | 0.177850i | ||||
\(195\) | 407.583 | − | 1947.91i | 0.149680 | − | 0.715349i | ||||
\(196\) | −467.848 | − | 2653.30i | −0.170499 | − | 0.966946i | ||||
\(197\) | −401.854 | − | 696.031i | −0.145334 | − | 0.251727i | 0.784163 | − | 0.620555i | \(-0.213092\pi\) |
−0.929498 | + | 0.368828i | \(0.879759\pi\) | |||||||
\(198\) | −332.999 | + | 245.183i | −0.119521 | + | 0.0880021i | ||||
\(199\) | 525.362 | − | 909.953i | 0.187145 | − | 0.324145i | −0.757152 | − | 0.653239i | \(-0.773410\pi\) |
0.944297 | + | 0.329094i | \(0.106743\pi\) | |||||||
\(200\) | −96.7185 | − | 35.2027i | −0.0341952 | − | 0.0124460i | ||||
\(201\) | 285.737 | − | 460.522i | 0.100270 | − | 0.161605i | ||||
\(202\) | 902.382 | + | 757.188i | 0.314314 | + | 0.263740i | ||||
\(203\) | −1645.70 | − | 1380.91i | −0.568993 | − | 0.477442i | ||||
\(204\) | −2256.46 | + | 3636.72i | −0.774430 | + | 1.24815i | ||||
\(205\) | −3952.44 | − | 1438.57i | −1.34659 | − | 0.490118i | ||||
\(206\) | 762.028 | − | 1319.87i | 0.257733 | − | 0.446406i | ||||
\(207\) | −416.986 | − | 3738.86i | −0.140012 | − | 1.25541i | ||||
\(208\) | 841.343 | + | 1457.25i | 0.280465 | + | 0.485779i | ||||
\(209\) | 59.0234 | + | 334.738i | 0.0195346 | + | 0.110786i | ||||
\(210\) | 258.420 | − | 1235.03i | 0.0849174 | − | 0.405836i | ||||
\(211\) | −2545.31 | + | 926.418i | −0.830457 | + | 0.302262i | −0.722047 | − | 0.691844i | \(-0.756798\pi\) |
−0.108411 | + | 0.994106i | \(0.534576\pi\) | |||||||
\(212\) | −444.559 | + | 2521.22i | −0.144021 | + | 0.816784i | ||||
\(213\) | 1559.77 | + | 624.434i | 0.501753 | + | 0.200871i | ||||
\(214\) | −323.319 | + | 271.297i | −0.103279 | + | 0.0866612i | ||||
\(215\) | −912.127 | −0.289333 | ||||||||
\(216\) | 1046.72 | − | 1469.93i | 0.329724 | − | 0.463036i | ||||
\(217\) | 6465.96 | 2.02276 | ||||||||
\(218\) | −845.289 | + | 709.281i | −0.262616 | + | 0.220361i | ||||
\(219\) | 2388.18 | − | 1878.09i | 0.736888 | − | 0.579496i | ||||
\(220\) | −249.427 | + | 1414.57i | −0.0764379 | + | 0.433501i | ||||
\(221\) | −3758.01 | + | 1367.80i | −1.14385 | + | 0.416327i | ||||
\(222\) | −139.267 | + | 45.7398i | −0.0421035 | + | 0.0138282i | ||||
\(223\) | 11.0519 | + | 62.6785i | 0.00331879 | + | 0.0188218i | 0.986422 | − | 0.164229i | \(-0.0525137\pi\) |
−0.983103 | + | 0.183051i | \(0.941403\pi\) | |||||||
\(224\) | 1906.70 | + | 3302.50i | 0.568736 | + | 0.985079i | ||||
\(225\) | 119.678 | − | 179.884i | 0.0354603 | − | 0.0532988i | ||||
\(226\) | 247.716 | − | 429.056i | 0.0729106 | − | 0.126285i | ||||
\(227\) | −62.1838 | − | 22.6331i | −0.0181819 | − | 0.00661766i | 0.332913 | − | 0.942957i | \(-0.391968\pi\) |
−0.351095 | + | 0.936340i | \(0.614191\pi\) | |||||||
\(228\) | −334.047 | − | 623.469i | −0.0970299 | − | 0.181098i | ||||
\(229\) | 1881.94 | + | 1579.13i | 0.543066 | + | 0.455686i | 0.872585 | − | 0.488463i | \(-0.162442\pi\) |
−0.329519 | + | 0.944149i | \(0.606887\pi\) | |||||||
\(230\) | 971.045 | + | 814.804i | 0.278386 | + | 0.233594i | ||||
\(231\) | 2524.30 | + | 80.1286i | 0.718991 | + | 0.0228228i | ||||
\(232\) | 972.800 | + | 354.070i | 0.275291 | + | 0.100198i | ||||
\(233\) | 1545.62 | − | 2677.09i | 0.434579 | − | 0.752713i | −0.562682 | − | 0.826673i | \(-0.690231\pi\) |
0.997261 | + | 0.0739605i | \(0.0235639\pi\) | |||||||
\(234\) | 771.517 | − | 226.540i | 0.215537 | − | 0.0632879i | ||||
\(235\) | 2495.44 | + | 4322.24i | 0.692702 | + | 1.19979i | ||||
\(236\) | −63.7568 | − | 361.583i | −0.0175856 | − | 0.0997331i | ||||
\(237\) | −2461.77 | − | 2202.48i | −0.674721 | − | 0.603655i | ||||
\(238\) | −2382.69 | + | 867.227i | −0.648935 | + | 0.236193i | ||||
\(239\) | 594.064 | − | 3369.10i | 0.160781 | − | 0.911837i | −0.792527 | − | 0.609837i | \(-0.791235\pi\) |
0.953308 | − | 0.302000i | \(-0.0976542\pi\) | |||||||
\(240\) | −380.123 | − | 2643.79i | −0.102237 | − | 0.711067i | ||||
\(241\) | −544.093 | + | 456.548i | −0.145428 | + | 0.122028i | −0.712599 | − | 0.701571i | \(-0.752482\pi\) |
0.567171 | + | 0.823600i | \(0.308038\pi\) | |||||||
\(242\) | −840.581 | −0.223283 | ||||||||
\(243\) | 2480.62 | + | 2862.76i | 0.654865 | + | 0.755746i | ||||
\(244\) | 1035.78 | 0.271759 | ||||||||
\(245\) | −3061.23 | + | 2568.68i | −0.798265 | + | 0.669824i | ||||
\(246\) | −241.859 | − | 1682.15i | −0.0626844 | − | 0.435976i | ||||
\(247\) | 114.769 | − | 650.890i | 0.0295652 | − | 0.167673i | ||||
\(248\) | −2927.92 | + | 1065.68i | −0.749691 | + | 0.272865i | ||||
\(249\) | 3742.69 | + | 3348.48i | 0.952544 | + | 0.852215i | ||||
\(250\) | 210.114 | + | 1191.61i | 0.0531550 | + | 0.301457i | ||||
\(251\) | −2536.71 | − | 4393.72i | −0.637912 | − | 1.10490i | −0.985890 | − | 0.167394i | \(-0.946465\pi\) |
0.347978 | − | 0.937503i | \(-0.386868\pi\) | |||||||
\(252\) | −5042.70 | + | 1480.68i | −1.26056 | + | 0.370136i | ||||
\(253\) | −1268.62 | + | 2197.32i | −0.315247 | + | 0.546024i | ||||
\(254\) | 759.877 | + | 276.573i | 0.187712 | + | 0.0683217i | ||||
\(255\) | 6344.83 | + | 201.403i | 1.55815 | + | 0.0494602i | ||||
\(256\) | 716.166 | + | 600.935i | 0.174845 | + | 0.146713i | ||||
\(257\) | 1009.07 | + | 846.711i | 0.244919 | + | 0.205511i | 0.756981 | − | 0.653437i | \(-0.226674\pi\) |
−0.512062 | + | 0.858949i | \(0.671118\pi\) | |||||||
\(258\) | −174.051 | − | 324.851i | −0.0419998 | − | 0.0783889i | ||||
\(259\) | 841.271 | + | 306.198i | 0.201830 | + | 0.0734602i | ||||
\(260\) | 1396.51 | − | 2418.83i | 0.333107 | − | 0.576959i | ||||
\(261\) | −1203.73 | + | 1809.28i | −0.285476 | + | 0.429086i | ||||
\(262\) | 241.596 | + | 418.456i | 0.0569688 | + | 0.0986729i | ||||
\(263\) | −688.981 | − | 3907.40i | −0.161538 | − | 0.916125i | −0.952563 | − | 0.304342i | \(-0.901564\pi\) |
0.791025 | − | 0.611783i | \(-0.209548\pi\) | |||||||
\(264\) | −1156.26 | + | 379.755i | −0.269557 | + | 0.0885315i | ||||
\(265\) | 3568.23 | − | 1298.73i | 0.827149 | − | 0.301058i | ||||
\(266\) | 72.7672 | − | 412.683i | 0.0167731 | − | 0.0951249i | ||||
\(267\) | −1904.23 | + | 1497.50i | −0.436468 | + | 0.343243i | ||||
\(268\) | 582.673 | − | 488.921i | 0.132807 | − | 0.111439i | ||||
\(269\) | 3723.56 | 0.843977 | 0.421988 | − | 0.906601i | \(-0.361332\pi\) | ||||
0.421988 | + | 0.906601i | \(0.361332\pi\) | |||||||
\(270\) | −1270.57 | − | 121.321i | −0.286388 | − | 0.0273458i | ||||
\(271\) | −5380.04 | −1.20596 | −0.602978 | − | 0.797758i | \(-0.706019\pi\) | ||||
−0.602978 | + | 0.797758i | \(0.706019\pi\) | |||||||
\(272\) | −4111.70 | + | 3450.13i | −0.916575 | + | 0.769098i | ||||
\(273\) | −4559.14 | − | 1825.20i | −1.01074 | − | 0.404637i | ||||
\(274\) | 34.4671 | − | 195.473i | 0.00759940 | − | 0.0430983i | ||||
\(275\) | −136.929 | + | 49.8379i | −0.0300258 | + | 0.0109285i | ||||
\(276\) | 1081.35 | − | 5167.96i | 0.235832 | − | 1.12708i | ||||
\(277\) | −177.469 | − | 1006.48i | −0.0384948 | − | 0.218315i | 0.959492 | − | 0.281736i | \(-0.0909101\pi\) |
−0.997987 | + | 0.0634206i | \(0.979799\pi\) | |||||||
\(278\) | −245.183 | − | 424.670i | −0.0528961 | − | 0.0916187i | ||||
\(279\) | −724.967 | − | 6500.34i | −0.155565 | − | 1.39486i | ||||
\(280\) | 1856.75 | − | 3215.98i | 0.396293 | − | 0.686399i | ||||
\(281\) | 6181.47 | + | 2249.87i | 1.31230 | + | 0.477637i | 0.900982 | − | 0.433856i | \(-0.142847\pi\) |
0.411316 | + | 0.911493i | \(0.365069\pi\) | |||||||
\(282\) | −1063.17 | + | 1713.51i | −0.224507 | + | 0.361837i | ||||
\(283\) | −5319.40 | − | 4463.51i | −1.11733 | − | 0.937554i | −0.118867 | − | 0.992910i | \(-0.537926\pi\) |
−0.998467 | + | 0.0553558i | \(0.982371\pi\) | |||||||
\(284\) | 1806.31 | + | 1515.68i | 0.377412 | + | 0.316686i | ||||
\(285\) | −553.119 | + | 891.460i | −0.114961 | + | 0.185283i | ||||
\(286\) | −509.598 | − | 185.479i | −0.105361 | − | 0.0383482i | ||||
\(287\) | −5189.64 | + | 8988.72i | −1.06737 | + | 1.84874i | ||||
\(288\) | 3106.28 | − | 2287.12i | 0.635553 | − | 0.467950i | ||||
\(289\) | −3921.82 | − | 6792.78i | −0.798253 | − | 1.38261i | ||||
\(290\) | −127.150 | − | 721.103i | −0.0257466 | − | 0.146016i | ||||
\(291\) | −1777.84 | + | 8496.60i | −0.358140 | + | 1.71161i | ||||
\(292\) | 4006.84 | − | 1458.37i | 0.803022 | − | 0.292276i | ||||
\(293\) | 148.644 | − | 843.001i | 0.0296378 | − | 0.168084i | −0.966396 | − | 0.257057i | \(-0.917247\pi\) |
0.996034 | + | 0.0889726i | \(0.0283584\pi\) | |||||||
\(294\) | −1498.97 | − | 600.094i | −0.297352 | − | 0.119041i | ||||
\(295\) | −417.174 | + | 350.051i | −0.0823350 | + | 0.0690872i | ||||
\(296\) | −431.411 | −0.0847137 | ||||||||
\(297\) | −202.472 | − | 2546.71i | −0.0395576 | − | 0.497559i | ||||
\(298\) | −267.034 | −0.0519090 | ||||||||
\(299\) | 3779.36 | − | 3171.26i | 0.730989 | − | 0.613373i | ||||
\(300\) | 238.354 | − | 187.444i | 0.0458712 | − | 0.0360736i | ||||
\(301\) | −390.853 | + | 2216.64i | −0.0748451 | + | 0.424468i | ||||
\(302\) | 1151.08 | − | 418.958i | 0.219328 | − | 0.0798288i | ||||
\(303\) | −6914.13 | + | 2270.83i | −1.31091 | + | 0.430547i | ||||
\(304\) | −154.036 | − | 873.581i | −0.0290611 | − | 0.164814i | ||||
\(305\) | −768.150 | − | 1330.48i | −0.144210 | − | 0.249780i | ||||
\(306\) | 1138.99 | + | 2298.12i | 0.212783 | + | 0.429329i | ||||
\(307\) | −3310.94 | + | 5734.72i | −0.615522 | + | 1.06612i | 0.374770 | + | 0.927118i | \(0.377722\pi\) |
−0.990293 | + | 0.138998i | \(0.955612\pi\) | |||||||
\(308\) | 3330.78 | + | 1212.30i | 0.616197 | + | 0.224278i | ||||
\(309\) | 4446.70 | + | 8299.37i | 0.818654 | + | 1.52794i | ||||
\(310\) | 1688.25 | + | 1416.61i | 0.309310 | + | 0.259542i | ||||
\(311\) | 2458.09 | + | 2062.58i | 0.448185 | + | 0.376072i | 0.838762 | − | 0.544498i | \(-0.183280\pi\) |
−0.390577 | + | 0.920570i | \(0.627724\pi\) | |||||||
\(312\) | 2365.29 | + | 75.0810i | 0.429193 | + | 0.0136238i | ||||
\(313\) | −4008.38 | − | 1458.93i | −0.723857 | − | 0.263462i | −0.0462945 | − | 0.998928i | \(-0.514741\pi\) |
−0.677562 | + | 0.735466i | \(0.736963\pi\) | |||||||
\(314\) | 157.567 | − | 272.914i | 0.0283185 | − | 0.0490491i | ||||
\(315\) | 5641.69 | + | 5379.32i | 1.00912 | + | 0.962191i | ||||
\(316\) | −2317.96 | − | 4014.82i | −0.412644 | − | 0.714720i | ||||
\(317\) | −1656.77 | − | 9396.00i | −0.293544 | − | 1.66477i | −0.673063 | − | 0.739585i | \(-0.735022\pi\) |
0.379519 | − | 0.925184i | \(-0.376089\pi\) | |||||||
\(318\) | 1143.42 | + | 1022.99i | 0.201635 | + | 0.180397i | ||||
\(319\) | 1377.24 | − | 501.273i | 0.241725 | − | 0.0879808i | ||||
\(320\) | 488.383 | − | 2769.76i | 0.0853170 | − | 0.483857i | ||||
\(321\) | −371.088 | − | 2580.95i | −0.0645237 | − | 0.448769i | ||||
\(322\) | 2396.22 | − | 2010.67i | 0.414709 | − | 0.347982i | ||||
\(323\) | 2108.24 | 0.363175 | ||||||||
\(324\) | 2053.95 | + | 4903.50i | 0.352186 | + | 0.840792i | ||||
\(325\) | 283.342 | 0.0483599 | ||||||||
\(326\) | −1638.65 | + | 1374.99i | −0.278393 | + | 0.233600i | ||||
\(327\) | −970.175 | − | 6747.66i | −0.164070 | − | 1.14112i | ||||
\(328\) | 868.517 | − | 4925.60i | 0.146207 | − | 0.829180i | ||||
\(329\) | 11573.1 | − | 4212.28i | 1.93936 | − | 0.705868i | ||||
\(330\) | 641.534 | + | 573.963i | 0.107016 | + | 0.0957443i | ||||
\(331\) | 1556.42 | + | 8826.91i | 0.258455 | + | 1.46577i | 0.787045 | + | 0.616896i | \(0.211610\pi\) |
−0.528590 | + | 0.848878i | \(0.677279\pi\) | |||||||
\(332\) | 3524.06 | + | 6103.85i | 0.582554 | + | 1.00901i | ||||
\(333\) | 213.502 | − | 880.075i | 0.0351346 | − | 0.144828i | ||||
\(334\) | −980.264 | + | 1697.87i | −0.160592 | + | 0.278153i | ||||
\(335\) | −1060.14 | − | 385.860i | −0.172901 | − | 0.0629307i | ||||
\(336\) | −6587.78 | − | 209.115i | −1.06962 | − | 0.0339529i | ||||
\(337\) | −2492.27 | − | 2091.26i | −0.402856 | − | 0.338037i | 0.418740 | − | 0.908106i | \(-0.362472\pi\) |
−0.821596 | + | 0.570070i | \(0.806916\pi\) | |||||||
\(338\) | −607.746 | − | 509.959i | −0.0978018 | − | 0.0820654i | ||||
\(339\) | 1445.51 | + | 2697.91i | 0.231591 | + | 0.432244i | ||||
\(340\) | 8371.91 | + | 3047.13i | 1.33538 | + | 0.486040i | ||||
\(341\) | −2205.61 | + | 3820.23i | −0.350265 | + | 0.606677i | ||||
\(342\) | −423.036 | − | 26.8838i | −0.0668864 | − | 0.00425062i | ||||
\(343\) | 352.972 | + | 611.365i | 0.0555647 | + | 0.0962408i | ||||
\(344\) | −188.345 | − | 1068.16i | −0.0295200 | − | 0.167416i | ||||
\(345\) | −7440.24 | + | 2443.62i | −1.16107 | + | 0.381333i | ||||
\(346\) | 3031.16 | − | 1103.25i | 0.470972 | − | 0.171420i | ||||
\(347\) | −791.412 | + | 4488.32i | −0.122436 | + | 0.694368i | 0.860362 | + | 0.509684i | \(0.170238\pi\) |
−0.982798 | + | 0.184685i | \(0.940874\pi\) | |||||||
\(348\) | −2397.37 | + | 1885.32i | −0.369289 | + | 0.290413i | ||||
\(349\) | −3699.15 | + | 3103.95i | −0.567366 | + | 0.476077i | −0.880771 | − | 0.473543i | \(-0.842975\pi\) |
0.313405 | + | 0.949620i | \(0.398530\pi\) | |||||||
\(350\) | 179.647 | 0.0274358 | ||||||||
\(351\) | −1323.73 | + | 4788.02i | −0.201297 | + | 0.728107i | ||||
\(352\) | −2601.58 | −0.393934 | ||||||||
\(353\) | −9534.88 | + | 8000.71i | −1.43765 | + | 1.20633i | −0.496638 | + | 0.867958i | \(0.665432\pi\) |
−0.941012 | + | 0.338374i | \(0.890123\pi\) | |||||||
\(354\) | −204.274 | − | 81.7787i | −0.0306696 | − | 0.0122782i | ||||
\(355\) | 607.318 | − | 3444.27i | 0.0907975 | − | 0.514938i | ||||
\(356\) | −3194.87 | + | 1162.84i | −0.475639 | + | 0.173119i | ||||
\(357\) | 3208.25 | − | 15332.8i | 0.475626 | − | 2.27310i | ||||
\(358\) | −237.623 | − | 1347.63i | −0.0350804 | − | 0.198951i | ||||
\(359\) | 1658.07 | + | 2871.86i | 0.243759 | + | 0.422203i | 0.961782 | − | 0.273816i | \(-0.0882860\pi\) |
−0.718023 | + | 0.696019i | \(0.754953\pi\) | |||||||
\(360\) | −3441.26 | − | 1506.04i | −0.503806 | − | 0.220487i | ||||
\(361\) | 3255.29 | − | 5638.33i | 0.474601 | − | 0.822033i | ||||
\(362\) | −1014.40 | − | 369.210i | −0.147280 | − | 0.0536056i | ||||
\(363\) | 2737.92 | − | 4412.69i | 0.395877 | − | 0.638034i | ||||
\(364\) | −5279.78 | − | 4430.26i | −0.760263 | − | 0.637936i | ||||
\(365\) | −4844.82 | − | 4065.28i | −0.694765 | − | 0.582977i | ||||
\(366\) | 327.266 | − | 527.454i | 0.0467390 | − | 0.0753291i | ||||
\(367\) | 7220.79 | + | 2628.15i | 1.02704 | + | 0.373810i | 0.799951 | − | 0.600065i | \(-0.204859\pi\) |
0.227084 | + | 0.973875i | \(0.427081\pi\) | |||||||
\(368\) | 3310.78 | − | 5734.43i | 0.468984 | − | 0.812304i | ||||
\(369\) | 9618.37 | + | 4209.41i | 1.35694 | + | 0.593857i | ||||
\(370\) | 152.570 | + | 264.259i | 0.0214371 | + | 0.0371302i | ||||
\(371\) | −1627.14 | − | 9227.96i | −0.227700 | − | 1.29135i | ||||
\(372\) | 1880.02 | − | 8984.94i | 0.262028 | − | 1.25228i | ||||
\(373\) | −4188.24 | + | 1524.39i | −0.581390 | + | 0.211609i | −0.615938 | − | 0.787794i | \(-0.711223\pi\) |
0.0345481 | + | 0.999403i | \(0.489001\pi\) | |||||||
\(374\) | 300.384 | − | 1703.56i | 0.0415307 | − | 0.235532i | ||||
\(375\) | −6939.85 | − | 2778.29i | −0.955659 | − | 0.382587i | ||||
\(376\) | −4546.32 | + | 3814.82i | −0.623560 | + | 0.523229i | ||||
\(377\) | −2849.86 | −0.389325 | ||||||||
\(378\) | −839.282 | + | 3035.74i | −0.114201 | + | 0.413073i | ||||
\(379\) | −630.946 | −0.0855132 | −0.0427566 | − | 0.999086i | \(-0.513614\pi\) | ||||
−0.0427566 | + | 0.999086i | \(0.513614\pi\) | |||||||
\(380\) | −1127.92 | + | 946.434i | −0.152265 | + | 0.127766i | ||||
\(381\) | −3926.94 | + | 3088.19i | −0.528040 | + | 0.415257i | ||||
\(382\) | −30.7722 | + | 174.518i | −0.00412158 | + | 0.0233746i | ||||
\(383\) | 6755.15 | − | 2458.67i | 0.901232 | − | 0.328022i | 0.150486 | − | 0.988612i | \(-0.451916\pi\) |
0.750746 | + | 0.660591i | \(0.229694\pi\) | |||||||
\(384\) | 6722.03 | − | 2207.74i | 0.893313 | − | 0.293393i | ||||
\(385\) | −912.930 | − | 5177.49i | −0.120850 | − | 0.685374i | ||||
\(386\) | 793.238 | + | 1373.93i | 0.104598 | + | 0.181169i | ||||
\(387\) | 2272.24 | + | 144.401i | 0.298462 | + | 0.0189672i | ||||
\(388\) | −6091.44 | + | 10550.7i | −0.797025 | + | 1.38049i | ||||
\(389\) | −6510.52 | − | 2369.64i | −0.848577 | − | 0.308857i | −0.119117 | − | 0.992880i | \(-0.538006\pi\) |
−0.729460 | + | 0.684023i | \(0.760229\pi\) | |||||||
\(390\) | −790.502 | − | 1475.40i | −0.102638 | − | 0.191564i | ||||
\(391\) | 12055.4 | + | 10115.7i | 1.55925 | + | 1.30837i | ||||
\(392\) | −3640.20 | − | 3054.49i | −0.469025 | − | 0.393558i | ||||
\(393\) | −2983.64 | − | 94.7092i | −0.382963 | − | 0.0121563i | ||||
\(394\) | −635.214 | − | 231.199i | −0.0812224 | − | 0.0295625i | ||||
\(395\) | −3438.06 | + | 5954.89i | −0.437943 | + | 0.758540i | ||||
\(396\) | 845.302 | − | 3484.41i | 0.107268 | − | 0.442168i | ||||
\(397\) | 1742.17 | + | 3017.52i | 0.220244 | + | 0.381474i | 0.954882 | − | 0.296985i | \(-0.0959813\pi\) |
−0.734638 | + | 0.678459i | \(0.762648\pi\) | |||||||
\(398\) | −153.460 | − | 870.314i | −0.0193273 | − | 0.109610i | ||||
\(399\) | 1929.40 | + | 1726.18i | 0.242082 | + | 0.216584i | ||||
\(400\) | 357.348 | − | 130.064i | 0.0446686 | − | 0.0162580i | ||||
\(401\) | −353.884 | + | 2006.98i | −0.0440702 | + | 0.249934i | −0.998882 | − | 0.0472772i | \(-0.984946\pi\) |
0.954812 | + | 0.297212i | \(0.0960567\pi\) | |||||||
\(402\) | −64.8725 | − | 451.195i | −0.00804863 | − | 0.0559790i | ||||
\(403\) | 6570.74 | − | 5513.51i | 0.812188 | − | 0.681507i | ||||
\(404\) | −10213.7 | −1.25779 | ||||||||
\(405\) | 4775.37 | − | 6274.82i | 0.585901 | − | 0.769872i | ||||
\(406\) | −1806.90 | −0.220874 | ||||||||
\(407\) | −467.875 | + | 392.593i | −0.0569820 | + | 0.0478136i | ||||
\(408\) | 1074.29 | + | 7471.78i | 0.130356 | + | 0.906638i | ||||
\(409\) | −949.794 | + | 5386.55i | −0.114827 | + | 0.651217i | 0.872008 | + | 0.489491i | \(0.162817\pi\) |
−0.986836 | + | 0.161726i | \(0.948294\pi\) | |||||||
\(410\) | −3324.31 | + | 1209.95i | −0.400429 | + | 0.145744i | ||||
\(411\) | 913.884 | + | 817.627i | 0.109680 | + | 0.0981279i | ||||
\(412\) | 2294.65 | + | 13013.6i | 0.274391 | + | 1.55615i | ||||
\(413\) | 671.925 | + | 1163.81i | 0.0800564 | + | 0.138662i | ||||
\(414\) | −2290.03 | − | 2183.53i | −0.271857 | − | 0.259214i | ||||
\(415\) | 5226.98 | − | 9053.39i | 0.618270 | − | 1.07088i | ||||
\(416\) | 4753.63 | + | 1730.18i | 0.560255 | + | 0.203916i | ||||
\(417\) | 3027.94 | + | 96.1154i | 0.355585 | + | 0.0112873i | ||||
\(418\) | 219.000 | + | 183.763i | 0.0256260 | + | 0.0215027i | ||||
\(419\) | 5126.35 | + | 4301.52i | 0.597706 | + | 0.501535i | 0.890707 | − | 0.454577i | \(-0.150210\pi\) |
−0.293002 | + | 0.956112i | \(0.594654\pi\) | |||||||
\(420\) | 5166.80 | + | 9643.35i | 0.600271 | + | 1.12035i | ||||
\(421\) | −5783.44 | − | 2105.00i | −0.669519 | − | 0.243685i | −0.0151785 | − | 0.999885i | \(-0.504832\pi\) |
−0.654341 | + | 0.756200i | \(0.727054\pi\) | |||||||
\(422\) | −1139.10 | + | 1972.98i | −0.131399 | + | 0.227590i | ||||
\(423\) | −5532.26 | − | 11162.4i | −0.635905 | − | 1.28306i | ||||
\(424\) | 2257.69 | + | 3910.44i | 0.258593 | + | 0.447896i | ||||
\(425\) | 156.944 | + | 890.074i | 0.0179127 | + | 0.101588i | ||||
\(426\) | 1342.55 | − | 440.938i | 0.152692 | − | 0.0501491i | ||||
\(427\) | −3562.46 | + | 1296.63i | −0.403746 | + | 0.146951i | ||||
\(428\) | 635.467 | − | 3603.92i | 0.0717675 | − | 0.407014i | ||||
\(429\) | 2633.53 | − | 2071.04i | 0.296383 | − | 0.233079i | ||||
\(430\) | −587.687 | + | 493.128i | −0.0659088 | + | 0.0553040i | ||||
\(431\) | −1934.68 | −0.216219 | −0.108109 | − | 0.994139i | \(-0.534480\pi\) | ||||
−0.108109 | + | 0.994139i | \(0.534480\pi\) | |||||||
\(432\) | 528.399 | + | 6646.25i | 0.0588486 | + | 0.740204i | ||||
\(433\) | 7109.96 | 0.789106 | 0.394553 | − | 0.918873i | \(-0.370899\pi\) | ||||
0.394553 | + | 0.918873i | \(0.370899\pi\) | |||||||
\(434\) | 4166.04 | − | 3495.72i | 0.460775 | − | 0.386636i | ||||
\(435\) | 4199.64 | + | 1681.28i | 0.462890 | + | 0.185313i | ||||
\(436\) | 1661.37 | − | 9422.10i | 0.182489 | − | 1.03495i | ||||
\(437\) | −2443.98 | + | 889.537i | −0.267532 | + | 0.0973738i | ||||
\(438\) | 523.353 | − | 2501.20i | 0.0570931 | − | 0.272858i | ||||
\(439\) | −951.221 | − | 5394.64i | −0.103415 | − | 0.586497i | −0.991841 | − | 0.127478i | \(-0.959312\pi\) |
0.888426 | − | 0.459019i | \(-0.151799\pi\) | |||||||
\(440\) | 1266.71 | + | 2194.01i | 0.137246 | + | 0.237717i | ||||
\(441\) | 8032.64 | − | 5914.33i | 0.867362 | − | 0.638628i | ||||
\(442\) | −1681.81 | + | 2912.99i | −0.180986 | + | 0.313477i | ||||
\(443\) | 12409.4 | + | 4516.66i | 1.33090 | + | 0.484409i | 0.906936 | − | 0.421269i | \(-0.138415\pi\) |
0.423967 | + | 0.905678i | \(0.360637\pi\) | |||||||
\(444\) | 670.089 | − | 1079.98i | 0.0716240 | − | 0.115436i | ||||
\(445\) | 3863.03 | + | 3241.47i | 0.411518 | + | 0.345304i | ||||
\(446\) | 41.0070 | + | 34.4089i | 0.00435367 | + | 0.00365316i | ||||
\(447\) | 869.778 | − | 1401.82i | 0.0920337 | − | 0.148330i | ||||
\(448\) | −6521.75 | − | 2373.72i | −0.687776 | − | 0.250330i | ||||
\(449\) | 3190.47 | − | 5526.05i | 0.335339 | − | 0.580825i | −0.648211 | − | 0.761461i | \(-0.724482\pi\) |
0.983550 | + | 0.180636i | \(0.0578157\pi\) | |||||||
\(450\) | −20.1421 | − | 180.602i | −0.00211002 | − | 0.0189192i | ||||
\(451\) | −3540.48 | − | 6132.30i | −0.369656 | − | 0.640263i | ||||
\(452\) | 745.932 | + | 4230.39i | 0.0776232 | + | 0.440223i | ||||
\(453\) | −1549.91 | + | 7407.28i | −0.160753 | + | 0.768266i | ||||
\(454\) | −52.3014 | + | 19.0362i | −0.00540667 | + | 0.00196787i | ||||
\(455\) | −1775.17 | + | 10067.5i | −0.182904 | + | 1.03730i | ||||
\(456\) | −1158.17 | − | 463.659i | −0.118939 | − | 0.0476159i | ||||
\(457\) | 960.392 | − | 805.865i | 0.0983047 | − | 0.0824875i | −0.592311 | − | 0.805710i | \(-0.701784\pi\) |
0.690615 | + | 0.723222i | \(0.257340\pi\) | |||||||
\(458\) | 2066.28 | 0.210809 | ||||||||
\(459\) | −15774.0 | − | 1506.19i | −1.60407 | − | 0.153165i | ||||
\(460\) | −10990.8 | −1.11402 | ||||||||
\(461\) | −4898.82 | + | 4110.60i | −0.494926 | + | 0.415292i | −0.855788 | − | 0.517327i | \(-0.826927\pi\) |
0.360862 | + | 0.932619i | \(0.382483\pi\) | |||||||
\(462\) | 1669.74 | − | 1313.10i | 0.168146 | − | 0.132231i | ||||
\(463\) | 56.5577 | − | 320.755i | 0.00567702 | − | 0.0321960i | −0.981838 | − | 0.189723i | \(-0.939241\pi\) |
0.987515 | + | 0.157527i | \(0.0503521\pi\) | |||||||
\(464\) | −3594.23 | + | 1308.19i | −0.359608 | + | 0.130886i | ||||
\(465\) | −12935.5 | + | 4248.44i | −1.29004 | + | 0.423692i | ||||
\(466\) | −451.481 | − | 2560.47i | −0.0448808 | − | 0.254532i | ||||
\(467\) | −9230.26 | − | 15987.3i | −0.914615 | − | 1.58416i | −0.807464 | − | 0.589917i | \(-0.799160\pi\) |
−0.107151 | − | 0.994243i | \(-0.534173\pi\) | |||||||
\(468\) | −3861.85 | + | 5804.58i | −0.381440 | + | 0.573326i | ||||
\(469\) | −1391.99 | + | 2411.00i | −0.137049 | + | 0.237376i | ||||
\(470\) | 3944.57 | + | 1435.71i | 0.387127 | + | 0.140903i | ||||
\(471\) | 919.459 | + | 1716.09i | 0.0899500 | + | 0.167884i | ||||
\(472\) | −496.073 | − | 416.255i | −0.0483763 | − | 0.0405925i | ||||
\(473\) | −1176.31 | − | 987.043i | −0.114349 | − | 0.0959498i | ||||
\(474\) | −2776.86 | − | 88.1454i | −0.269083 | − | 0.00854146i | ||||
\(475\) | −140.360 | − | 51.0870i | −0.0135583 | − | 0.00493481i | ||||
\(476\) | 10992.5 | − | 19039.6i | 1.05849 | − | 1.83335i | ||||
\(477\) | −9094.59 | + | 2670.43i | −0.872983 | + | 0.256333i | ||||
\(478\) | −1438.70 | − | 2491.89i | −0.137666 | − | 0.238445i | ||||
\(479\) | 1203.54 | + | 6825.63i | 0.114804 | + | 0.651087i | 0.986847 | + | 0.161657i | \(0.0516840\pi\) |
−0.872043 | + | 0.489430i | \(0.837205\pi\) | |||||||
\(480\) | −5984.36 | − | 5354.04i | −0.569057 | − | 0.509119i | ||||
\(481\) | 1116.00 | − | 406.190i | 0.105790 | − | 0.0385045i | ||||
\(482\) | −103.735 | + | 588.311i | −0.00980292 | + | 0.0555951i | ||||
\(483\) | 2750.25 | + | 19128.3i | 0.259090 | + | 1.80200i | ||||
\(484\) | 5583.14 | − | 4684.81i | 0.524337 | − | 0.439971i | ||||
\(485\) | 18069.9 | 1.69178 | ||||||||
\(486\) | 3145.98 | + | 503.376i | 0.293631 | + | 0.0469827i | ||||
\(487\) | 10020.5 | 0.932391 | 0.466195 | − | 0.884682i | \(-0.345624\pi\) | ||||
0.466195 | + | 0.884682i | \(0.345624\pi\) | |||||||
\(488\) | 1399.45 | − | 1174.28i | 0.129816 | − | 0.108929i | ||||
\(489\) | −1880.75 | − | 13080.8i | −0.173927 | − | 1.20968i | ||||
\(490\) | −583.645 | + | 3310.02i | −0.0538090 | + | 0.305166i | ||||
\(491\) | −5178.48 | + | 1884.81i | −0.475971 | + | 0.173239i | −0.568855 | − | 0.822438i | \(-0.692614\pi\) |
0.0928844 | + | 0.995677i | \(0.470391\pi\) | |||||||
\(492\) | 10981.6 | + | 9824.92i | 1.00628 | + | 0.900288i | ||||
\(493\) | −1578.55 | − | 8952.41i | −0.144208 | − | 0.817842i | ||||
\(494\) | −277.947 | − | 481.419i | −0.0253147 | − | 0.0438463i | ||||
\(495\) | −5102.65 | + | 1498.29i | −0.463328 | + | 0.136046i | ||||
\(496\) | 5756.07 | − | 9969.81i | 0.521079 | − | 0.902535i | ||||
\(497\) | −8109.97 | − | 2951.79i | −0.731956 | − | 0.266410i | ||||
\(498\) | 4221.74 | + | 134.010i | 0.379881 | + | 0.0120585i | ||||
\(499\) | −14672.9 | − | 12312.0i | −1.31633 | − | 1.10453i | −0.987070 | − | 0.160289i | \(-0.948757\pi\) |
−0.329257 | − | 0.944241i | \(-0.606798\pi\) | |||||||
\(500\) | −8036.80 | − | 6743.68i | −0.718833 | − | 0.603173i | ||||
\(501\) | −5720.19 | − | 10676.2i | −0.510098 | − | 0.952052i | ||||
\(502\) | −4009.81 | − | 1459.45i | −0.356507 | − | 0.129758i | ||||
\(503\) | −5797.94 | + | 10042.3i | −0.513951 | + | 0.890190i | 0.485918 | + | 0.874005i | \(0.338485\pi\) |
−0.999869 | + | 0.0161853i | \(0.994848\pi\) | |||||||
\(504\) | −5134.56 | + | 7717.54i | −0.453793 | + | 0.682077i | ||||
\(505\) | 7574.58 | + | 13119.6i | 0.667455 | + | 1.15607i | ||||
\(506\) | 370.569 | + | 2101.60i | 0.0325569 | + | 0.184639i | ||||
\(507\) | 4656.60 | − | 1529.38i | 0.407903 | − | 0.133969i | ||||
\(508\) | −6588.53 | + | 2398.03i | −0.575431 | + | 0.209440i | ||||
\(509\) | 1147.18 | − | 6505.98i | 0.0998975 | − | 0.566547i | −0.893239 | − | 0.449583i | \(-0.851573\pi\) |
0.993136 | − | 0.116964i | \(-0.0373163\pi\) | |||||||
\(510\) | 4196.88 | − | 3300.47i | 0.364394 | − | 0.286563i | ||||
\(511\) | −11955.4 | + | 10031.8i | −1.03498 | + | 0.868454i | ||||
\(512\) | 11679.4 | 1.00813 | ||||||||
\(513\) | 1519.03 | − | 2133.19i | 0.130735 | − | 0.183592i | ||||
\(514\) | 1107.91 | 0.0950735 | ||||||||
\(515\) | 15014.4 | − | 12598.6i | 1.28468 | − | 1.07798i | ||||
\(516\) | 2966.54 | + | 1187.62i | 0.253090 | + | 0.101322i | ||||
\(517\) | −1459.02 | + | 8274.51i | −0.124115 | + | 0.703893i | ||||
\(518\) | 707.575 | − | 257.536i | 0.0600175 | − | 0.0218446i | ||||
\(519\) | −4081.42 | + | 19505.8i | −0.345191 | + | 1.64973i | ||||
\(520\) | −855.422 | − | 4851.34i | −0.0721399 | − | 0.409125i | ||||
\(521\) | −2226.21 | − | 3855.91i | −0.187202 | − | 0.324243i | 0.757114 | − | 0.653282i | \(-0.226609\pi\) |
−0.944316 | + | 0.329039i | \(0.893275\pi\) | |||||||
\(522\) | 202.590 | + | 1816.50i | 0.0169868 | + | 0.152311i | ||||
\(523\) | 3394.82 | − | 5880.01i | 0.283834 | − | 0.491615i | −0.688492 | − | 0.725244i | \(-0.741727\pi\) |
0.972326 | + | 0.233629i | \(0.0750602\pi\) | |||||||
\(524\) | −3936.86 | − | 1432.90i | −0.328211 | − | 0.119459i | ||||
\(525\) | −585.141 | + | 943.070i | −0.0486431 | + | 0.0783980i | ||||
\(526\) | −2556.39 | − | 2145.07i | −0.211909 | − | 0.177812i | ||||
\(527\) | 20959.4 | + | 17587.0i | 1.73246 | + | 1.45370i | ||||
\(528\) | 2370.71 | − | 3820.87i | 0.195402 | − | 0.314928i | ||||
\(529\) | −6810.18 | − | 2478.70i | −0.559725 | − | 0.203723i | ||||
\(530\) | 1596.88 | − | 2765.88i | 0.130876 | − | 0.226684i | ||||
\(531\) | 1094.66 | − | 805.984i | 0.0894617 | − | 0.0658696i | ||||
\(532\) | 1816.69 | + | 3146.60i | 0.148052 | + | 0.256433i | ||||
\(533\) | 2390.92 | + | 13559.6i | 0.194300 | + | 1.10193i | ||||
\(534\) | −417.297 | + | 1994.34i | −0.0338169 | + | 0.161617i | ||||
\(535\) | −5100.54 | + | 1856.45i | −0.412179 | + | 0.150021i | ||||
\(536\) | 232.958 | − | 1321.17i | 0.0187728 | − | 0.106466i | ||||
\(537\) | 7848.46 | + | 3142.04i | 0.630701 | + | 0.252494i | ||||
\(538\) | 2399.10 | − | 2013.09i | 0.192254 | − | 0.161320i | ||||
\(539\) | −6727.52 | −0.537616 | ||||||||
\(540\) | 9115.32 | − | 6275.48i | 0.726409 | − | 0.500100i | ||||
\(541\) | 17202.4 | 1.36707 | 0.683537 | − | 0.729916i | \(-0.260441\pi\) | ||||
0.683537 | + | 0.729916i | \(0.260441\pi\) | |||||||
\(542\) | −3466.38 | + | 2908.64i | −0.274712 | + | 0.230510i | ||||
\(543\) | 5242.26 | − | 4122.57i | 0.414304 | − | 0.325813i | ||||
\(544\) | −2802.04 | + | 15891.1i | −0.220839 | + | 1.25244i | ||||
\(545\) | −13334.9 | + | 4853.50i | −1.04808 | + | 0.381470i | ||||
\(546\) | −3924.23 | + | 1288.85i | −0.307585 | + | 0.101021i | ||||
\(547\) | −3992.83 | − | 22644.4i | −0.312104 | − | 1.77003i | −0.588019 | − | 0.808847i | \(-0.700092\pi\) |
0.275915 | − | 0.961182i | \(-0.411019\pi\) | |||||||
\(548\) | 860.499 | + | 1490.43i | 0.0670779 | + | 0.116182i | ||||
\(549\) | 1702.95 | + | 3436.02i | 0.132386 | + | 0.267114i | ||||
\(550\) | −61.2795 | + | 106.139i | −0.00475084 | + | 0.00822870i | ||||
\(551\) | 1411.75 | + | 513.836i | 0.109152 | + | 0.0397280i | ||||
\(552\) | −4397.96 | − | 8208.40i | −0.339112 | − | 0.632922i | ||||
\(553\) | 12998.3 | + | 10906.8i | 0.999533 | + | 0.838708i | ||||
\(554\) | −658.480 | − | 552.530i | −0.0504984 | − | 0.0423732i | ||||
\(555\) | −1884.19 | − | 59.8097i | −0.144107 | − | 0.00457438i | ||||
\(556\) | 3995.32 | + | 1454.18i | 0.304747 | + | 0.110919i | ||||
\(557\) | −9928.09 | + | 17195.9i | −0.755236 | + | 1.30811i | 0.190021 | + | 0.981780i | \(0.439144\pi\) |
−0.945257 | + | 0.326327i | \(0.894189\pi\) | |||||||
\(558\) | −3981.41 | − | 3796.25i | −0.302055 | − | 0.288007i | ||||
\(559\) | 1492.93 | + | 2585.84i | 0.112959 | + | 0.195652i | ||||
\(560\) | 2382.51 | + | 13511.9i | 0.179785 | + | 1.01961i | ||||
\(561\) | 7964.58 | + | 7125.69i | 0.599402 | + | 0.536269i | ||||
\(562\) | 5199.10 | − | 1892.32i | 0.390233 | − | 0.142033i | ||||
\(563\) | 925.723 | − | 5250.04i | 0.0692976 | − | 0.393006i | −0.930355 | − | 0.366659i | \(-0.880501\pi\) |
0.999653 | − | 0.0263470i | \(-0.00838748\pi\) | |||||||
\(564\) | −2488.32 | − | 17306.5i | −0.185775 | − | 1.29208i | ||||
\(565\) | 4880.79 | − | 4095.47i | 0.363427 | − | 0.304952i | ||||
\(566\) | −5840.43 | −0.433731 | ||||||||
\(567\) | −13202.7 | − | 14293.8i | −0.977884 | − | 1.05870i | ||||
\(568\) | 4158.86 | 0.307222 | ||||||||
\(569\) | 6662.49 | − | 5590.50i | 0.490872 | − | 0.411891i | −0.363467 | − | 0.931607i | \(-0.618407\pi\) |
0.854339 | + | 0.519717i | \(0.173962\pi\) | |||||||
\(570\) | 125.578 | + | 873.406i | 0.00922785 | + | 0.0641806i | ||||
\(571\) | −542.707 | + | 3077.84i | −0.0397751 | + | 0.225576i | −0.998215 | − | 0.0597178i | \(-0.980980\pi\) |
0.958440 | + | 0.285293i | \(0.0920910\pi\) | |||||||
\(572\) | 4418.48 | − | 1608.20i | 0.322983 | − | 0.117556i | ||||
\(573\) | −815.914 | − | 729.976i | −0.0594857 | − | 0.0532202i | ||||
\(574\) | 1515.91 | + | 8597.16i | 0.110232 | + | 0.625154i | ||||
\(575\) | −557.490 | − | 965.600i | −0.0404329 | − | 0.0700318i | ||||
\(576\) | −1655.12 | + | 6822.56i | −0.119728 | + | 0.493530i | ||||
\(577\) | 2717.27 | − | 4706.44i | 0.196051 | − | 0.339570i | −0.751194 | − | 0.660082i | \(-0.770522\pi\) |
0.947244 | + | 0.320512i | \(0.103855\pi\) | |||||||
\(578\) | −6199.25 | − | 2256.34i | −0.446116 | − | 0.162373i | ||||
\(579\) | −9796.25 | − | 310.961i | −0.703141 | − | 0.0223197i | ||||
\(580\) | 4863.46 | + | 4080.92i | 0.348179 | + | 0.292157i | ||||
\(581\) | −19761.6 | − | 16582.0i | −1.41110 | − | 1.18405i | ||||
\(582\) | 3448.09 | + | 6435.55i | 0.245581 | + | 0.458354i | ||||
\(583\) | 6007.11 | + | 2186.41i | 0.426739 | + | 0.155320i | ||||
\(584\) | 3760.29 | − | 6513.02i | 0.266442 | − | 0.461491i | ||||
\(585\) | 10320.0 | + | 655.836i | 0.729369 | + | 0.0463512i | ||||
\(586\) | −359.984 | − | 623.510i | −0.0253768 | − | 0.0439539i | ||||
\(587\) | −1563.56 | − | 8867.40i | −0.109941 | − | 0.623504i | −0.989131 | − | 0.147034i | \(-0.953027\pi\) |
0.879191 | − | 0.476470i | \(-0.158084\pi\) | |||||||
\(588\) | 13300.6 | − | 4368.37i | 0.932839 | − | 0.306375i | ||||
\(589\) | −4249.08 | + | 1546.54i | −0.297250 | + | 0.108190i | ||||
\(590\) | −79.5371 | + | 451.078i | −0.00554999 | + | 0.0314755i | ||||
\(591\) | 3282.70 | − | 2581.55i | 0.228481 | − | 0.179680i | ||||
\(592\) | 1221.03 | − | 1024.57i | 0.0847705 | − | 0.0711309i | ||||
\(593\) | −6962.45 | −0.482148 | −0.241074 | − | 0.970507i | \(-0.577500\pi\) | ||||
−0.241074 | + | 0.970507i | \(0.577500\pi\) | |||||||
\(594\) | −1507.29 | − | 1531.39i | −0.104116 | − | 0.105781i | ||||
\(595\) | −32608.7 | −2.24677 | ||||||||
\(596\) | 1773.64 | − | 1488.26i | 0.121898 | − | 0.102285i | ||||
\(597\) | 5068.63 | + | 2029.17i | 0.347479 | + | 0.139109i | ||||
\(598\) | 720.561 | − | 4086.50i | 0.0492741 | − | 0.279447i | ||||
\(599\) | −17588.5 | + | 6401.69i | −1.19974 | + | 0.436671i | −0.863135 | − | 0.504973i | \(-0.831502\pi\) |
−0.336610 | + | 0.941644i | \(0.609280\pi\) | |||||||
\(600\) | 109.534 | − | 523.481i | 0.00745282 | − | 0.0356184i | ||||
\(601\) | 4956.51 | + | 28109.8i | 0.336407 | + | 1.90786i | 0.412880 | + | 0.910786i | \(0.364523\pi\) |
−0.0764728 | + | 0.997072i | \(0.524366\pi\) | |||||||
\(602\) | 946.563 | + | 1639.50i | 0.0640848 | + | 0.110998i | ||||
\(603\) | 2579.88 | + | 1129.07i | 0.174231 | + | 0.0762507i | ||||
\(604\) | −5310.48 | + | 9198.02i | −0.357749 | + | 0.619639i | ||||
\(605\) | −10158.2 | − | 3697.29i | −0.682629 | − | 0.248457i | ||||
\(606\) | −3227.11 | + | 5201.12i | −0.216324 | + | 0.348649i | ||||
\(607\) | −12502.6 | − | 10490.9i | −0.836019 | − | 0.701503i | 0.120646 | − | 0.992696i | \(-0.461504\pi\) |
−0.956664 | + | 0.291193i | \(0.905948\pi\) | |||||||
\(608\) | −2042.88 | − | 1714.18i | −0.136266 | − | 0.114341i | ||||
\(609\) | 5885.38 | − | 9485.45i | 0.391605 | − | 0.631149i | ||||
\(610\) | −1214.22 | − | 441.941i | −0.0805942 | − | 0.0293339i | ||||
\(611\) | 8168.88 | − | 14148.9i | 0.540880 | − | 0.936832i | ||||
\(612\) | −20373.3 | − | 8916.21i | −1.34565 | − | 0.588916i | ||||
\(613\) | −1083.24 | − | 1876.22i | −0.0713728 | − | 0.123621i | 0.828130 | − | 0.560536i | \(-0.189405\pi\) |
−0.899503 | + | 0.436914i | \(0.856071\pi\) | |||||||
\(614\) | 967.137 | + | 5484.91i | 0.0635676 | + | 0.360510i | ||||
\(615\) | 4476.14 | − | 21392.3i | 0.293488 | − | 1.40263i | ||||
\(616\) | 5874.65 | − | 2138.20i | 0.384247 | − | 0.139855i | ||||
\(617\) | 2009.48 | − | 11396.3i | 0.131116 | − | 0.743595i | −0.846370 | − | 0.532595i | \(-0.821217\pi\) |
0.977486 | − | 0.211000i | \(-0.0676720\pi\) | |||||||
\(618\) | 7351.96 | + | 2943.27i | 0.478542 | + | 0.191579i | ||||
\(619\) | 4431.85 | − | 3718.76i | 0.287772 | − | 0.241469i | −0.487461 | − | 0.873145i | \(-0.662077\pi\) |
0.775233 | + | 0.631675i | \(0.217632\pi\) | |||||||
\(620\) | −19108.5 | −1.23777 | ||||||||
\(621\) | 18921.6 | − | 4909.54i | 1.22270 | − | 0.317251i | ||||
\(622\) | 2698.86 | 0.173978 | ||||||||
\(623\) | 9532.70 | − | 7998.89i | 0.613033 | − | 0.514396i | ||||
\(624\) | −6872.85 | + | 5404.88i | −0.440920 | + | 0.346744i | ||||
\(625\) | −2528.44 | + | 14339.5i | −0.161820 | + | 0.917727i | ||||
\(626\) | −3371.36 | + | 1227.08i | −0.215250 | + | 0.0783447i | ||||
\(627\) | −1678.00 | + | 551.110i | −0.106879 | + | 0.0351024i | ||||
\(628\) | 474.472 | + | 2690.86i | 0.0301489 | + | 0.170983i | ||||
\(629\) | 1894.14 | + | 3280.74i | 0.120070 | + | 0.207968i | ||||
\(630\) | 6543.21 | + | 415.819i | 0.413790 | + | 0.0262962i | ||||
\(631\) | −5539.27 | + | 9594.29i | −0.349469 | + | 0.605298i | −0.986155 | − | 0.165825i | \(-0.946971\pi\) |
0.636686 | + | 0.771123i | \(0.280305\pi\) | |||||||
\(632\) | −7683.47 | − | 2796.56i | −0.483595 | − | 0.176014i | ||||
\(633\) | −6647.06 | − | 12406.1i | −0.417372 | − | 0.778988i | ||||
\(634\) | −6147.26 | − | 5158.17i | −0.385077 | − | 0.323118i | ||||
\(635\) | 7966.44 | + | 6684.64i | 0.497856 | + | 0.417751i | ||||
\(636\) | −13296.1 | − | 422.054i | −0.828967 | − | 0.0263138i | ||||
\(637\) | 12292.6 | + | 4474.13i | 0.764599 | + | 0.278291i | ||||
\(638\) | 616.352 | − | 1067.55i | 0.0382470 | − | 0.0662458i | ||||
\(639\) | −2058.19 | + | 8484.05i | −0.127419 | + | 0.525233i | ||||
\(640\) | −7364.13 | − | 12755.0i | −0.454833 | − | 0.787793i | ||||
\(641\) | 4569.84 | + | 25916.8i | 0.281588 | + | 1.59696i | 0.717226 | + | 0.696841i | \(0.245412\pi\) |
−0.435638 | + | 0.900122i | \(0.643477\pi\) | |||||||
\(642\) | −1634.45 | − | 1462.29i | −0.100477 | − | 0.0898943i | ||||
\(643\) | 27197.0 | − | 9898.91i | 1.66803 | − | 0.607115i | 0.676440 | − | 0.736498i | \(-0.263522\pi\) |
0.991595 | + | 0.129383i | \(0.0412996\pi\) | |||||||
\(644\) | −4709.65 | + | 26709.8i | −0.288177 | + | 1.63433i | ||||
\(645\) | −674.514 | − | 4691.31i | −0.0411767 | − | 0.286388i | ||||
\(646\) | 1358.35 | − | 1139.79i | 0.0827298 | − | 0.0694185i | ||||
\(647\) | 721.396 | 0.0438346 | 0.0219173 | − | 0.999760i | \(-0.493023\pi\) | ||||
0.0219173 | + | 0.999760i | \(0.493023\pi\) | |||||||
\(648\) | 8334.26 | + | 4296.57i | 0.505248 | + | 0.260471i | ||||
\(649\) | −916.804 | −0.0554510 | ||||||||
\(650\) | 182.558 | − | 153.184i | 0.0110162 | − | 0.00924366i | ||||
\(651\) | 4781.55 | + | 33256.1i | 0.287870 | + | 2.00217i | ||||
\(652\) | 3220.67 | − | 18265.3i | 0.193453 | − | 1.09713i | ||||
\(653\) | 27820.4 | − | 10125.8i | 1.66722 | − | 0.606819i | 0.675748 | − | 0.737133i | \(-0.263821\pi\) |
0.991473 | + | 0.130314i | \(0.0415986\pi\) | |||||||
\(654\) | −4273.11 | − | 3823.03i | −0.255492 | − | 0.228582i | ||||
\(655\) | 1079.05 | + | 6119.60i | 0.0643695 | + | 0.365058i | ||||
\(656\) | 9239.75 | + | 16003.7i | 0.549926 | + | 0.952500i | ||||
\(657\) | 11425.6 | + | 10894.2i | 0.678469 | + | 0.646916i | ||||
\(658\) | 5179.31 | − | 8970.83i | 0.306855 | − | 0.531488i | ||||
\(659\) | −15927.9 | − | 5797.29i | −0.941523 | − | 0.342686i | −0.174756 | − | 0.984612i | \(-0.555914\pi\) |
−0.766767 | + | 0.641925i | \(0.778136\pi\) | |||||||
\(660\) | −7459.95 | − | 236.800i | −0.439967 | − | 0.0139658i | ||||
\(661\) | 13670.0 | + | 11470.5i | 0.804389 | + | 0.674963i | 0.949262 | − | 0.314488i | \(-0.101833\pi\) |
−0.144872 | + | 0.989450i | \(0.546277\pi\) | |||||||
\(662\) | 5774.94 | + | 4845.75i | 0.339048 | + | 0.284495i | ||||
\(663\) | −9814.00 | − | 18316.9i | −0.574878 | − | 1.07296i | ||||
\(664\) | 11681.4 | + | 4251.68i | 0.682720 | + | 0.248490i | ||||
\(665\) | 2694.56 | − | 4667.11i | 0.157129 | − | 0.272155i | ||||
\(666\) | −338.239 | − | 682.462i | −0.0196794 | − | 0.0397070i | ||||
\(667\) | 5607.26 | + | 9712.06i | 0.325508 | + | 0.563797i | ||||
\(668\) | −2951.81 | − | 16740.5i | −0.170971 | − | 0.969627i | ||||
\(669\) | −314.199 | + | 103.193i | −0.0181579 | + | 0.00596366i | ||||
\(670\) | −891.662 | + | 324.538i | −0.0514148 | + | 0.0187135i | ||||
\(671\) | 449.117 | − | 2547.07i | 0.0258390 | − | 0.146540i | ||||
\(672\) | −15575.6 | + | 12248.8i | −0.894112 | + | 0.703139i | ||||
\(673\) | −24248.6 | + | 20347.0i | −1.38888 | + | 1.16541i | −0.423087 | + | 0.906089i | \(0.639054\pi\) |
−0.965792 | + | 0.259319i | \(0.916502\pi\) | |||||||
\(674\) | −2736.39 | −0.156382 | ||||||||
\(675\) | 1013.69 | + | 482.515i | 0.0578029 | + | 0.0275141i | ||||
\(676\) | 6878.81 | 0.391375 | ||||||||
\(677\) | 13542.1 | − | 11363.2i | 0.768783 | − | 0.645085i | −0.171614 | − | 0.985164i | \(-0.554898\pi\) |
0.940397 | + | 0.340079i | \(0.110454\pi\) | |||||||
\(678\) | 2389.93 | + | 956.782i | 0.135376 | + | 0.0541961i | ||||
\(679\) | 7743.10 | − | 43913.3i | 0.437633 | − | 2.48194i | ||||
\(680\) | 14765.9 | − | 5374.35i | 0.832716 | − | 0.303084i | ||||
\(681\) | 70.4231 | − | 336.565i | 0.00396273 | − | 0.0189386i | ||||
\(682\) | 644.266 | + | 3653.81i | 0.0361733 | + | 0.205149i | ||||
\(683\) | 3940.12 | + | 6824.48i | 0.220738 | + | 0.382330i | 0.955032 | − | 0.296501i | \(-0.0958199\pi\) |
−0.734294 | + | 0.678832i | \(0.762487\pi\) | |||||||
\(684\) | 2959.64 | − | 2179.15i | 0.165445 | − | 0.121815i | ||||
\(685\) | 1276.31 | − | 2210.64i | 0.0711904 | − | 0.123305i | ||||
\(686\) | 557.946 | + | 203.076i | 0.0310532 | + | 0.0113024i | ||||
\(687\) | −6730.22 | + | 10847.1i | −0.373761 | + | 0.602390i | ||||
\(688\) | 3069.87 | + | 2575.93i | 0.170113 | + | 0.142742i | ||||
\(689\) | −9522.16 | − | 7990.04i | −0.526510 | − | 0.441794i | ||||
\(690\) | −3472.67 | + | 5596.88i | −0.191597 | + | 0.308797i | ||||
\(691\) | −21426.4 | − | 7798.58i | −1.17959 | − | 0.429337i | −0.323535 | − | 0.946216i | \(-0.604871\pi\) |
−0.856058 | + | 0.516879i | \(0.827094\pi\) | |||||||
\(692\) | −13984.2 | + | 24221.4i | −0.768210 | + | 1.33058i | ||||
\(693\) | 1454.59 | + | 13042.4i | 0.0797334 | + | 0.714921i | ||||
\(694\) | 1916.63 | + | 3319.71i | 0.104833 | + | 0.181577i | ||||
\(695\) | −1095.07 | − | 6210.47i | −0.0597676 | − | 0.338959i | ||||
\(696\) | −1101.70 | + | 5265.20i | −0.0599995 | + | 0.286748i | ||||
\(697\) | −41270.9 | + | 15021.4i | −2.24282 | + | 0.816321i | ||||
\(698\) | −705.268 | + | 3999.77i | −0.0382447 | + | 0.216896i | ||||
\(699\) | 14912.0 | + | 5969.83i | 0.806899 | + | 0.323032i | ||||
\(700\) | −1193.22 | + | 1001.23i | −0.0644276 | + | 0.0540611i | ||||
\(701\) | 31049.4 | 1.67293 | 0.836463 | − | 0.548024i | \(-0.184620\pi\) | ||||
0.836463 | + | 0.548024i | \(0.184620\pi\) | |||||||
\(702\) | 1735.69 | + | 3800.59i | 0.0933180 | + | 0.204336i | ||||
\(703\) | −626.074 | −0.0335887 | ||||||||
\(704\) | 3627.08 | − | 3043.48i | 0.194177 | − | 0.162934i | ||||
\(705\) | −20385.0 | + | 16031.0i | −1.08900 | + | 0.856401i | ||||
\(706\) | −1817.89 | + | 10309.8i | −0.0969083 | + | 0.549594i | ||||
\(707\) | 35128.7 | − | 12785.8i | 1.86867 | − | 0.680141i | ||||
\(708\) | 1812.57 | − | 595.306i | 0.0962153 | − | 0.0316003i | ||||
\(709\) | −2231.86 | − | 12657.5i | −0.118222 | − | 0.670470i | −0.985104 | − | 0.171957i | \(-0.944991\pi\) |
0.866882 | − | 0.498513i | \(-0.166120\pi\) | |||||||
\(710\) | −1470.80 | − | 2547.49i | −0.0777437 | − | 0.134656i | ||||
\(711\) | 9507.44 | − | 14290.2i | 0.501487 | − | 0.753763i | ||||
\(712\) | −2998.28 | + | 5193.18i | −0.157817 | + | 0.273346i | ||||
\(713\) | −31717.8 | − | 11544.3i | −1.66597 | − | 0.606365i | ||||
\(714\) | −6222.36 | − | 11613.5i | −0.326143 | − | 0.608716i | ||||
\(715\) | −5342.55 | − | 4482.93i | −0.279441 | − | 0.234479i | ||||
\(716\) | 9089.04 | + | 7626.61i | 0.474404 | + | 0.398072i | ||||
\(717\) | 17767.5 | + | 563.990i | 0.925438 | + | 0.0293760i | ||||
\(718\) | 2620.93 | + | 953.939i | 0.136229 | + | 0.0495831i | ||||
\(719\) | −5713.43 | + | 9895.95i | −0.296349 | + | 0.513292i | −0.975298 | − | 0.220894i | \(-0.929103\pi\) |
0.678949 | + | 0.734186i | \(0.262436\pi\) | |||||||
\(720\) | 13316.6 | − | 3910.14i | 0.689279 | − | 0.202392i | ||||
\(721\) | −24183.0 | − | 41886.2i | −1.24913 | − | 2.16356i | ||||
\(722\) | −950.881 | − | 5392.72i | −0.0490140 | − | 0.277972i | ||||
\(723\) | −2750.50 | − | 2460.80i | −0.141483 | − | 0.126581i | ||||
\(724\) | 8795.34 | − | 3201.24i | 0.451487 | − | 0.164328i | ||||
\(725\) | −111.840 | + | 634.276i | −0.00572915 | + | 0.0324916i | ||||
\(726\) | −621.605 | − | 4323.33i | −0.0317768 | − | 0.221011i | ||||
\(727\) | 25582.4 | − | 21466.2i | 1.30509 | − | 1.09510i | 0.315846 | − | 0.948811i | \(-0.397712\pi\) |
0.989242 | − | 0.146288i | \(-0.0467326\pi\) | |||||||
\(728\) | −12156.2 | −0.618872 | ||||||||
\(729\) | −12889.5 | + | 14875.5i | −0.654856 | + | 0.755754i | ||||
\(730\) | −5319.36 | −0.269697 | ||||||||
\(731\) | −7296.06 | + | 6122.12i | −0.369158 | + | 0.309760i | ||||
\(732\) | 765.957 | + | 5327.31i | 0.0386756 | + | 0.268993i | ||||
\(733\) | 2783.30 | − | 15784.9i | 0.140251 | − | 0.795400i | −0.830808 | − | 0.556559i | \(-0.812121\pi\) |
0.971059 | − | 0.238841i | \(-0.0767676\pi\) | |||||||
\(734\) | 6073.25 | − | 2210.48i | 0.305405 | − | 0.111158i | ||||
\(735\) | −15475.2 | − | 13845.2i | −0.776612 | − | 0.694813i | ||||
\(736\) | −3456.74 | − | 19604.1i | −0.173121 | − | 0.981817i | ||||
\(737\) | −949.645 | − | 1644.83i | −0.0474635 | − | 0.0822092i | ||||
\(738\) | 8472.90 | − | 2487.89i | 0.422618 | − | 0.124093i | ||||
\(739\) | −14887.0 | + | 25785.0i | −0.741038 | + | 1.28352i | 0.210985 | + | 0.977489i | \(0.432333\pi\) |
−0.952023 | + | 0.306027i | \(0.901000\pi\) | |||||||
\(740\) | −2486.17 | − | 904.890i | −0.123504 | − | 0.0449519i | ||||
\(741\) | 3432.57 | + | 108.959i | 0.170173 | + | 0.00540179i | ||||
\(742\) | −6037.33 | − | 5065.92i | −0.298703 | − | 0.250641i | ||||
\(743\) | 7095.90 | + | 5954.17i | 0.350368 | + | 0.293994i | 0.800938 | − | 0.598748i | \(-0.204335\pi\) |
−0.450570 | + | 0.892741i | \(0.648779\pi\) | |||||||
\(744\) | −7646.24 | − | 14271.0i | −0.376781 | − | 0.703227i | ||||
\(745\) | −3227.05 | − | 1174.55i | −0.158698 | − | 0.0577613i | ||||
\(746\) | −1874.35 | + | 3246.48i | −0.0919906 | + | 0.159332i | ||||
\(747\) | −14454.4 | + | 21725.8i | −0.707979 | + | 1.06413i | ||||
\(748\) | 7499.31 | + | 12989.2i | 0.366580 | + | 0.634936i | ||||
\(749\) | 2325.89 | + | 13190.8i | 0.113466 | + | 0.643497i | ||||
\(750\) | −5973.40 | + | 1961.86i | −0.290824 | + | 0.0955161i | ||||
\(751\) | 14447.2 | − | 5258.35i | 0.701978 | − | 0.255499i | 0.0337229 | − | 0.999431i | \(-0.489264\pi\) |
0.668255 | + | 0.743932i | \(0.267041\pi\) | |||||||
\(752\) | 3807.67 | − | 21594.3i | 0.184643 | − | 1.04716i | ||||
\(753\) | 20722.2 | − | 16296.1i | 1.00286 | − | 0.788663i | ||||
\(754\) | −1836.18 | + | 1540.74i | −0.0886865 | + | 0.0744168i | ||||
\(755\) | 15753.3 | 0.759365 | ||||||||
\(756\) | −11344.6 | − | 24841.0i | −0.545766 | − | 1.19505i | ||||
\(757\) | −27010.0 | −1.29682 | −0.648411 | − | 0.761291i | \(-0.724566\pi\) | ||||
−0.648411 | + | 0.761291i | \(0.724566\pi\) | |||||||
\(758\) | −406.521 | + | 341.111i | −0.0194795 | + | 0.0163453i | ||||
\(759\) | −12239.5 | − | 4899.95i | −0.585331 | − | 0.234331i | ||||
\(760\) | −450.950 | + | 2557.47i | −0.0215233 | + | 0.122065i | ||||
\(761\) | −20254.5 | + | 7372.04i | −0.964816 | + | 0.351164i | −0.775919 | − | 0.630833i | \(-0.782713\pi\) |
−0.188897 | + | 0.981997i | \(0.560491\pi\) | |||||||
\(762\) | −860.561 | + | 4112.77i | −0.0409118 | + | 0.195525i | ||||
\(763\) | 6080.81 | + | 34486.0i | 0.288519 | + | 1.63627i | ||||
\(764\) | −768.252 | − | 1330.65i | −0.0363801 | − | 0.0630121i | ||||
\(765\) | 3656.10 | + | 32782.1i | 0.172793 | + | 1.54933i | ||||
\(766\) | 3023.12 | − | 5236.20i | 0.142598 | − | 0.246986i | ||||
\(767\) | 1675.19 | + | 609.719i | 0.0788626 | + | 0.0287036i | ||||
\(768\) | −2561.16 | + | 4127.82i | −0.120336 | + | 0.193945i | ||||
\(769\) | 7558.69 | + | 6342.49i | 0.354451 | + | 0.297420i | 0.802575 | − | 0.596552i | \(-0.203463\pi\) |
−0.448123 | + | 0.893972i | \(0.647907\pi\) | |||||||
\(770\) | −3387.33 | − | 2842.31i | −0.158534 | − | 0.133026i | ||||
\(771\) | −3608.66 | + | 5816.06i | −0.168564 | + | 0.271673i | ||||
\(772\) | −12926.0 | − | 4704.68i | −0.602613 | − | 0.219333i | ||||
\(773\) | −3806.71 | + | 6593.42i | −0.177125 | + | 0.306790i | −0.940895 | − | 0.338699i | \(-0.890013\pi\) |
0.763769 | + | 0.645489i | \(0.223346\pi\) | |||||||
\(774\) | 1542.08 | − | 1135.42i | 0.0716137 | − | 0.0527283i | ||||
\(775\) | −969.244 | − | 1678.78i | −0.0449242 | − | 0.0778110i | ||||
\(776\) | 3731.26 | + | 21161.0i | 0.172609 | + | 0.978913i | ||||
\(777\) | −952.739 | + | 4553.31i | −0.0439888 | + | 0.210231i | ||||
\(778\) | −5475.86 | + | 1993.05i | −0.252338 | + | 0.0918436i | ||||
\(779\) | 1260.41 | − | 7148.16i | 0.0579705 | − | 0.328767i | ||||
\(780\) | 13473.4 | + | 5393.91i | 0.618493 | + | 0.247606i | ||||
\(781\) | 4510.38 | − | 3784.66i | 0.206650 | − | 0.173400i | ||||
\(782\) | 13236.2 | 0.605277 | ||||||||
\(783\) | −10195.8 | − | 4853.16i | −0.465347 | − | 0.221504i | ||||
\(784\) | 17557.1 | 0.799795 | ||||||||
\(785\) | 3104.57 | − | 2605.04i | 0.141155 | − | 0.118443i | ||||
\(786\) | −1973.57 | + | 1552.04i | −0.0895610 | + | 0.0704317i | ||||
\(787\) | −565.306 | + | 3206.01i | −0.0256048 | + | 0.145212i | −0.994930 | − | 0.100570i | \(-0.967934\pi\) |
0.969325 | + | 0.245782i | \(0.0790446\pi\) | |||||||
\(788\) | 5507.64 | − | 2004.62i | 0.248987 | − | 0.0906237i | ||||
\(789\) | 19587.3 | − | 6433.11i | 0.883811 | − | 0.290272i | ||||
\(790\) | 1004.27 | + | 5695.49i | 0.0452282 | + | 0.256502i | ||||
\(791\) | −7861.29 | − | 13616.1i | −0.353369 | − | 0.612054i | ||||
\(792\) | −2808.23 | − | 5666.14i | −0.125993 | − | 0.254214i | ||||
\(793\) | −2514.55 | + | 4355.34i | −0.112603 | + | 0.195035i | ||||
\(794\) | 2753.86 | + | 1002.32i | 0.123087 | + | 0.0447999i | ||||
\(795\) | 9318.39 | + | 17391.9i | 0.415710 | + | 0.775884i | ||||
\(796\) | 5869.81 | + | 4925.35i | 0.261369 | + | 0.219315i | ||||
\(797\) | −15242.1 | − | 12789.6i | −0.677418 | − | 0.568421i | 0.237833 | − | 0.971306i | \(-0.423563\pi\) |
−0.915251 | + | 0.402885i | \(0.868007\pi\) | |||||||
\(798\) | 2176.35 | + | 69.0835i | 0.0965437 | + | 0.00306457i | ||||
\(799\) | 48971.4 | + | 17824.1i | 2.16832 | + | 0.789203i | ||||
\(800\) | 571.626 | − | 990.086i | 0.0252626 | − | 0.0437560i | ||||
\(801\) | −9110.22 | − | 8686.54i | −0.401865 | − | 0.383176i | ||||
\(802\) | 857.033 | + | 1484.42i | 0.0377343 | + | 0.0653577i | ||||
\(803\) | −1848.87 | − | 10485.5i | −0.0812518 | − | 0.460802i | ||||
\(804\) | 2945.53 | + | 2635.28i | 0.129205 | + | 0.115596i | ||||
\(805\) | 37801.7 | − | 13758.7i | 1.65508 | − | 0.602398i | ||||
\(806\) | 1252.76 | − | 7104.74i | 0.0547475 | − | 0.310489i | ||||
\(807\) | 2753.56 | + | 19151.3i | 0.120111 | + | 0.835386i | ||||
\(808\) | −13799.8 | + | 11579.4i | −0.600834 | + | 0.504159i | ||||
\(809\) | −23559.5 | −1.02387 | −0.511933 | − | 0.859025i | \(-0.671070\pi\) | ||||
−0.511933 | + | 0.859025i | \(0.671070\pi\) | |||||||
\(810\) | −315.598 | − | 6624.61i | −0.0136901 | − | 0.287364i | ||||
\(811\) | −6947.85 | −0.300829 | −0.150414 | − | 0.988623i | \(-0.548061\pi\) | ||||
−0.150414 | + | 0.988623i | \(0.548061\pi\) | |||||||
\(812\) | 12001.4 | − | 10070.4i | 0.518679 | − | 0.435223i | ||||
\(813\) | −3978.51 | − | 27671.0i | −0.171627 | − | 1.19368i | ||||
\(814\) | −89.2036 | + | 505.899i | −0.00384101 | + | 0.0217835i | ||||
\(815\) | −25850.5 | + | 9408.83i | −1.11105 | + | 0.404389i | ||||
\(816\) | −20785.5 | − | 18596.2i | −0.891713 | − | 0.797791i | ||||
\(817\) | −273.331 | − | 1550.14i | −0.0117046 | − | 0.0663800i | ||||
\(818\) | 2300.20 | + | 3984.06i | 0.0983186 | + | 0.170293i | ||||
\(819\) | 6016.01 | − | 24798.6i | 0.256674 | − | 1.05804i | ||||
\(820\) | 15336.7 | − | 26563.9i | 0.653146 | − | 1.13128i | ||||
\(821\) | 16081.2 | + | 5853.09i | 0.683604 | + | 0.248811i | 0.660394 | − | 0.750919i | \(-0.270389\pi\) |
0.0232097 | + | 0.999731i | \(0.492611\pi\) | |||||||
\(822\) | 1030.86 | + | 32.7223i | 0.0437412 | + | 0.00138847i | ||||
\(823\) | 1262.17 | + | 1059.08i | 0.0534586 | + | 0.0448571i | 0.669125 | − | 0.743149i | \(-0.266669\pi\) |
−0.615667 | + | 0.788007i | \(0.711113\pi\) | |||||||
\(824\) | 17854.0 | + | 14981.3i | 0.754822 | + | 0.633371i | ||||
\(825\) | −357.588 | − | 667.405i | −0.0150904 | − | 0.0281649i | ||||
\(826\) | 1062.12 | + | 386.580i | 0.0447407 | + | 0.0162843i | ||||
\(827\) | 1768.75 | − | 3063.57i | 0.0743719 | − | 0.128816i | −0.826441 | − | 0.563023i | \(-0.809638\pi\) |
0.900813 | + | 0.434207i | \(0.142971\pi\) | |||||||
\(828\) | 27379.8 | + | 1739.98i | 1.14917 | + | 0.0730295i | ||||
\(829\) | 20425.4 | + | 35377.8i | 0.855734 | + | 1.48217i | 0.875962 | + | 0.482379i | \(0.160227\pi\) |
−0.0202283 | + | 0.999795i | \(0.506439\pi\) | |||||||
\(830\) | −1526.82 | − | 8659.01i | −0.0638513 | − | 0.362119i | ||||
\(831\) | 5045.33 | − | 1657.05i | 0.210615 | − | 0.0691727i | ||||
\(832\) | −8651.49 | + | 3148.89i | −0.360501 | + | 0.131211i | ||||
\(833\) | −7245.89 | + | 41093.5i | −0.301387 | + | 1.70925i | ||||
\(834\) | 2002.88 | − | 1575.08i | 0.0831581 | − | 0.0653964i | ||||
\(835\) | −19314.3 | + | 16206.6i | −0.800478 | + | 0.671681i | ||||
\(836\) | −2478.77 | −0.102548 | ||||||||
\(837\) | 32896.8 | − | 8535.66i | 1.35852 | − | 0.352492i | ||||
\(838\) | 5628.48 | 0.232020 | ||||||||
\(839\) | −24034.6 | + | 20167.4i | −0.988995 | + | 0.829865i | −0.985422 | − | 0.170129i | \(-0.945582\pi\) |
−0.00357284 | + | 0.999994i | \(0.501137\pi\) | |||||||
\(840\) | 17913.7 | + | 7171.54i | 0.735811 | + | 0.294573i | ||||
\(841\) | −3110.21 | + | 17638.9i | −0.127525 | + | 0.723231i | ||||
\(842\) | −4864.33 | + | 1770.47i | −0.199092 | + | 0.0724637i | ||||
\(843\) | −7000.51 | + | 33456.7i | −0.286015 | + | 1.36692i | ||||
\(844\) | −3430.10 | − | 19453.1i | −0.139892 | − | 0.793368i | ||||
\(845\) | −5101.41 | − | 8835.90i | −0.207685 | − | 0.359721i | ||||
\(846\) | −9599.23 | − | 4201.03i | −0.390104 | − | 0.170726i | ||||
\(847\) | −13338.0 | + | 23102.0i | −0.541084 | + | 0.937184i | ||||
\(848\) | −15677.0 | − | 5705.96i | −0.634847 | − | 0.231066i | ||||
\(849\) | 19023.3 | − | 30659.8i | 0.768997 | − | 1.23939i | ||||
\(850\) | 582.324 | + | 488.628i | 0.0234983 | + | 0.0197174i | ||||
\(851\) | −3580.04 | − | 3004.01i | −0.144209 | − | 0.121006i | ||||
\(852\) | −6459.76 | + | 10411.2i | −0.259751 | + | 0.418639i | ||||
\(853\) | −18591.9 | − | 6766.88i | −0.746275 | − | 0.271622i | −0.0592378 | − | 0.998244i | \(-0.518867\pi\) |
−0.687038 | + | 0.726622i | \(0.741089\pi\) | |||||||
\(854\) | −1594.30 | + | 2761.41i | −0.0638827 | + | 0.110648i | ||||
\(855\) | −4994.04 | − | 2185.61i | −0.199758 | − | 0.0874224i | ||||
\(856\) | −3227.22 | − | 5589.71i | −0.128860 | − | 0.223192i | ||||
\(857\) | −2118.58 | − | 12015.1i | −0.0844449 | − | 0.478911i | −0.997475 | − | 0.0710187i | \(-0.977375\pi\) |
0.913030 | − | 0.407892i | \(-0.133736\pi\) | |||||||
\(858\) | 577.120 | − | 2758.16i | 0.0229633 | − | 0.109746i | ||||
\(859\) | −35218.5 | + | 12818.5i | −1.39888 | + | 0.509151i | −0.927846 | − | 0.372964i | \(-0.878342\pi\) |
−0.471035 | + | 0.882115i | \(0.656119\pi\) | |||||||
\(860\) | 1155.07 | − | 6550.71i | 0.0457994 | − | 0.259741i | ||||
\(861\) | −50069.0 | − | 20044.6i | −1.98182 | − | 0.793399i | ||||
\(862\) | −1246.52 | + | 1045.95i | −0.0492537 | + | 0.0413287i | ||||
\(863\) | −27228.3 | −1.07400 | −0.537000 | − | 0.843582i | \(-0.680443\pi\) | ||||
−0.537000 | + | 0.843582i | \(0.680443\pi\) | |||||||
\(864\) | 14060.3 | + | 14285.1i | 0.553636 | + | 0.562487i | ||||
\(865\) | 41483.6 | 1.63062 | ||||||||
\(866\) | 4580.97 | − | 3843.89i | 0.179755 | − | 0.150832i | ||||
\(867\) | 32036.9 | − | 25194.2i | 1.25494 | − | 0.986896i | ||||
\(868\) | −8188.14 | + | 46437.2i | −0.320188 | + | 1.81588i | ||||
\(869\) | −10877.8 | + | 3959.20i | −0.424632 | + | 0.154553i | ||||
\(870\) | 3614.80 | − | 1187.22i | 0.140866 | − | 0.0462649i | ||||
\(871\) | 641.303 | + | 3637.01i | 0.0249480 | + | 0.141487i | ||||
\(872\) | −8437.27 | − | 14613.8i | −0.327663 | − | 0.567529i | ||||
\(873\) | −45014.9 | − | 2860.69i | −1.74516 | − | 0.110904i | ||||
\(874\) | −1093.75 | + | 1894.43i | −0.0423303 | + | 0.0733183i | ||||
\(875\) | 36083.6 | + | 13133.4i | 1.39411 | + | 0.507416i | ||||
\(876\) | 10463.8 | + | 19529.8i | 0.403584 | + | 0.753253i | ||||
\(877\) | −22347.5 | − | 18751.8i | −0.860459 | − | 0.722011i | 0.101608 | − | 0.994825i | \(-0.467601\pi\) |
−0.962067 | + | 0.272814i | \(0.912046\pi\) | |||||||
\(878\) | −3529.41 | − | 2961.52i | −0.135662 | − | 0.113834i | ||||
\(879\) | 4445.70 | + | 141.119i | 0.170591 | + | 0.00541505i | ||||
\(880\) | −8795.82 | − | 3201.42i | −0.336940 | − | 0.122636i | ||||
\(881\) | 21666.5 | − | 37527.4i | 0.828560 | − | 1.43511i | −0.0706072 | − | 0.997504i | \(-0.522494\pi\) |
0.899168 | − | 0.437604i | \(-0.144173\pi\) | |||||||
\(882\) | 1977.96 | − | 8153.35i | 0.0755118 | − | 0.311267i | ||||
\(883\) | −17434.7 | − | 30197.8i | −0.664466 | − | 1.15089i | −0.979430 | − | 0.201786i | \(-0.935326\pi\) |
0.314963 | − | 0.949104i | \(-0.398008\pi\) | |||||||
\(884\) | −5064.35 | − | 28721.4i | −0.192684 | − | 1.09276i | ||||
\(885\) | −2108.90 | − | 1886.77i | −0.0801016 | − | 0.0716647i | ||||
\(886\) | 10437.3 | − | 3798.87i | 0.395765 | − | 0.144047i | ||||
\(887\) | 1710.69 | − | 9701.83i | 0.0647570 | − | 0.367255i | −0.935158 | − | 0.354230i | \(-0.884743\pi\) |
0.999915 | − | 0.0130248i | \(-0.00414604\pi\) | |||||||
\(888\) | −319.026 | − | 2218.86i | −0.0120561 | − | 0.0838514i | ||||
\(889\) | 19658.6 | − | 16495.5i | 0.741650 | − | 0.622318i | ||||
\(890\) | 4241.42 | 0.159744 | ||||||||
\(891\) | 12948.7 | − | 2924.64i | 0.486865 | − | 0.109965i | ||||
\(892\) | −464.140 | −0.0174221 | ||||||||
\(893\) | −6597.74 | + | 5536.16i | −0.247240 | + | 0.207459i | ||||
\(894\) | −197.471 | − | 1373.43i | −0.00738748 | − | 0.0513806i | ||||
\(895\) | 3055.92 | − | 17331.0i | 0.114132 | − | 0.647274i | ||||
\(896\) | −34152.7 | + | 12430.6i | −1.27339 | + | 0.463478i | ||||
\(897\) | 19105.4 | + | 17093.1i | 0.711161 | + | 0.636256i | ||||
\(898\) | −931.946 | − | 5285.33i | −0.0346319 | − | 0.196407i | ||||
\(899\) | 9748.71 | + | 16885.3i | 0.361666 | + | 0.626424i | ||||
\(900\) | 1140.33 | + | 1087.30i | 0.0422346 | + | 0.0402704i | ||||
\(901\) | 19825.1 | − | 34338.1i | 0.733042 | − | 1.26967i | ||||
\(902\) | −5596.48 | − | 2036.95i | −0.206588 | − | 0.0751918i | ||||
\(903\) | −11689.8 | − | 371.067i | −0.430799 | − | 0.0136748i | ||||
\(904\) | 5803.88 | + | 4870.03i | 0.213533 | + | 0.179176i | ||||
\(905\) | −10634.8 | − | 8923.63i | −0.390621 | − | 0.327770i | ||||
\(906\) | 3006.02 | + | 5610.47i | 0.110230 | + | 0.205734i | ||||
\(907\) | −2358.31 | − | 858.355i | −0.0863356 | − | 0.0314236i | 0.298491 | − | 0.954412i | \(-0.403517\pi\) |
−0.384827 | + | 0.922989i | \(0.625739\pi\) | |||||||
\(908\) | 241.292 | − | 417.930i | 0.00881890 | − | 0.0152748i | ||||
\(909\) | −16792.4 | − | 33881.9i | −0.612728 | − | 1.23630i | ||||
\(910\) | 4299.08 | + | 7446.23i | 0.156608 | + | 0.271253i | ||||
\(911\) | 6229.90 | + | 35331.5i | 0.226570 | + | 1.28494i | 0.859660 | + | 0.510866i | \(0.170675\pi\) |
−0.633090 | + | 0.774078i | \(0.718214\pi\) | |||||||
\(912\) | 4379.15 | − | 1438.26i | 0.159000 | − | 0.0522209i | ||||
\(913\) | 16537.9 | − | 6019.29i | 0.599478 | − | 0.218192i | ||||
\(914\) | 183.106 | − | 1038.44i | 0.00662647 | − | 0.0375806i | ||||
\(915\) | 6274.94 | − | 4934.68i | 0.226714 | − | 0.178290i | ||||
\(916\) | −13724.2 | + | 11516.0i | −0.495044 | + | 0.415392i | ||||
\(917\) | 15334.1 | 0.552212 | ||||||||
\(918\) | −10977.6 | + | 7557.55i | −0.394677 | + | 0.271717i | ||||
\(919\) | 15985.1 | 0.573776 | 0.286888 | − | 0.957964i | \(-0.407379\pi\) | ||||
0.286888 | + | 0.957964i | \(0.407379\pi\) | |||||||
\(920\) | −14849.8 | + | 12460.5i | −0.532156 | + | 0.446532i | ||||
\(921\) | −31943.6 | − | 12788.2i | −1.14286 | − | 0.457532i | ||||
\(922\) | −933.995 | + | 5296.95i | −0.0333617 | + | 0.189204i | ||||
\(923\) | −10758.4 | + | 3915.73i | −0.383658 | + | 0.139640i | ||||
\(924\) | −3772.11 | + | 18027.6i | −0.134300 | + | 0.641844i | ||||
\(925\) | −46.6069 | − | 264.321i | −0.00165668 | − | 0.00939548i | ||||
\(926\) | −136.971 | − | 237.240i | −0.00486084 | − | 0.00841922i | ||||
\(927\) | −39397.5 | + | 29007.9i | −1.39588 | + | 1.02777i | ||||
\(928\) | −5749.45 | + | 9958.34i | −0.203378 | + | 0.352261i | ||||
\(929\) | 41945.8 | + | 15267.0i | 1.48138 | + | 0.539177i | 0.951163 | − | 0.308688i | \(-0.0998899\pi\) |
0.530213 | + | 0.847865i | \(0.322112\pi\) | |||||||
\(930\) | −6037.53 | + | 9730.67i | −0.212880 | + | 0.343098i | ||||
\(931\) | −5282.74 | − | 4432.75i | −0.185967 | − | 0.156045i | ||||
\(932\) | 17269.0 | + | 14490.4i | 0.606938 | + | 0.509281i | ||||
\(933\) | −8790.67 | + | 14167.9i | −0.308460 | + | 0.497144i | ||||
\(934\) | −14590.4 | − | 5310.46i | −0.511147 | − | 0.186042i | ||||
\(935\) | 11123.2 | − | 19265.9i | 0.389055 | − | 0.673864i | ||||
\(936\) | 1362.96 | + | 12220.8i | 0.0475958 | + | 0.426763i | ||||
\(937\) | 5729.57 | + | 9923.90i | 0.199762 | + | 0.345998i | 0.948451 | − | 0.316923i | \(-0.102650\pi\) |
−0.748689 | + | 0.662921i | \(0.769317\pi\) | |||||||
\(938\) | 406.605 | + | 2305.97i | 0.0141536 | + | 0.0802693i | ||||
\(939\) | 4539.49 | − | 21695.0i | 0.157764 | − | 0.753983i | ||||
\(940\) | −34201.5 | + | 12448.3i | −1.18673 | + | 0.431936i | ||||
\(941\) | 1458.38 | − | 8270.88i | 0.0505226 | − | 0.286528i | −0.949070 | − | 0.315065i | \(-0.897974\pi\) |
0.999593 | + | 0.0285369i | \(0.00908481\pi\) | |||||||
\(942\) | 1520.19 | + | 608.589i | 0.0525800 | + | 0.0210498i | ||||
\(943\) | 41505.4 | − | 34827.2i | 1.43330 | − | 1.20268i | ||||
\(944\) | 2392.62 | 0.0824928 | ||||||||
\(945\) | −23495.2 | + | 32994.7i | −0.808783 | + | 1.13578i | ||||
\(946\) | −1291.53 | −0.0443883 | ||||||||
\(947\) | −3896.91 | + | 3269.89i | −0.133720 | + | 0.112204i | −0.707194 | − | 0.707019i | \(-0.750039\pi\) |
0.573475 | + | 0.819223i | \(0.305595\pi\) | |||||||
\(948\) | 18935.2 | − | 14890.8i | 0.648719 | − | 0.510160i | ||||
\(949\) | −3595.08 | + | 20388.7i | −0.122973 | + | 0.697413i | ||||
\(950\) | −118.054 | + | 42.9682i | −0.00403177 | + | 0.00146744i | ||||
\(951\) | 47100.9 | − | 15469.5i | 1.60605 | − | 0.527479i | ||||
\(952\) | −6733.37 | − | 38186.8i | −0.229233 | − | 1.30004i | ||||
\(953\) | 16612.3 | + | 28773.3i | 0.564663 | + | 0.978025i | 0.997081 | + | 0.0763519i | \(0.0243272\pi\) |
−0.432418 | + | 0.901673i | \(0.642339\pi\) | |||||||
\(954\) | −4415.95 | + | 6637.42i | −0.149865 | + | 0.225256i | ||||
\(955\) | −1139.49 | + | 1973.66i | −0.0386105 | + | 0.0668754i | ||||
\(956\) | 23443.9 | + | 8532.89i | 0.793128 | + | 0.288675i | ||||
\(957\) | 3596.64 | + | 6712.79i | 0.121487 | + | 0.226744i | ||||
\(958\) | 4465.62 | + | 3747.10i | 0.150603 | + | 0.126371i | ||||
\(959\) | −4825.35 | − | 4048.95i | −0.162480 | − | 0.136337i | ||||
\(960\) | 14606.7 | + | 463.660i | 0.491074 | + | 0.0155881i | ||||
\(961\) | −27149.7 | − | 9881.68i | −0.911339 | − | 0.331700i | ||||
\(962\) | 499.441 | − | 865.056i | 0.0167387 | − | 0.0289922i | ||||
\(963\) | 13000.1 | − | 3817.20i | 0.435018 | − | 0.127734i | ||||
\(964\) | −2589.83 | − | 4485.71i | −0.0865277 | − | 0.149870i | ||||
\(965\) | 3542.88 | + | 20092.7i | 0.118186 | + | 0.670265i | ||||
\(966\) | 12113.4 | + | 10837.5i | 0.403460 | + | 0.360964i | ||||
\(967\) | −7112.66 | + | 2588.80i | −0.236533 | + | 0.0860911i | −0.457567 | − | 0.889175i | \(-0.651279\pi\) |
0.221034 | + | 0.975266i | \(0.429057\pi\) | |||||||
\(968\) | 2232.19 | − | 12659.4i | 0.0741169 | − | 0.420338i | ||||
\(969\) | 1559.03 | + | 10843.2i | 0.0516856 | + | 0.359479i | ||||
\(970\) | 11642.5 | − | 9769.24i | 0.385381 | − | 0.323373i | ||||
\(971\) | 17710.5 | 0.585331 | 0.292665 | − | 0.956215i | \(-0.405458\pi\) | ||||
0.292665 | + | 0.956215i | \(0.405458\pi\) | |||||||
\(972\) | −23701.1 | + | 14190.1i | −0.782112 | + | 0.468259i | ||||
\(973\) | −15561.8 | −0.512733 | ||||||||
\(974\) | 6456.27 | − | 5417.46i | 0.212395 | − | 0.178220i | ||||
\(975\) | 209.530 | + | 1457.30i | 0.00688238 | + | 0.0478676i | ||||
\(976\) | −1172.08 | + | 6647.19i | −0.0384399 | + | 0.218004i | ||||
\(977\) | 22298.6 | − | 8116.03i | 0.730190 | − | 0.265768i | 0.0499450 | − | 0.998752i | \(-0.484095\pi\) |
0.680245 | + | 0.732984i | \(0.261873\pi\) | |||||||
\(978\) | −8283.69 | − | 7411.19i | −0.270842 | − | 0.242315i | ||||
\(979\) | 1474.20 | + | 8360.63i | 0.0481264 | + | 0.272938i | ||||
\(980\) | −14571.2 | − | 25238.0i | −0.474958 | − | 0.822651i | ||||
\(981\) | 33987.6 | − | 9979.73i | 1.10616 | − | 0.324799i | ||||
\(982\) | −2317.52 | + | 4014.06i | −0.0753106 | + | 0.130442i | ||||
\(983\) | 39968.7 | + | 14547.4i | 1.29685 | + | 0.472015i | 0.895970 | − | 0.444114i | \(-0.146482\pi\) |
0.400882 | + | 0.916130i | \(0.368704\pi\) | |||||||
\(984\) | 25975.9 | + | 824.550i | 0.841547 | + | 0.0267131i | ||||
\(985\) | −6659.49 | − | 5587.97i | −0.215420 | − | 0.180759i | ||||
\(986\) | −5857.05 | − | 4914.65i | −0.189175 | − | 0.158737i | ||||
\(987\) | 30223.1 | + | 56408.8i | 0.974684 | + | 1.81916i | ||||
\(988\) | 4529.22 | + | 1648.50i | 0.145844 | + | 0.0530828i | ||||
\(989\) | 5874.85 | − | 10175.5i | 0.188887 | − | 0.327162i | ||||
\(990\) | −2477.63 | + | 3724.02i | −0.0795397 | + | 0.119553i | ||||
\(991\) | 15829.8 | + | 27418.0i | 0.507416 | + | 0.878870i | 0.999963 | + | 0.00858430i | \(0.00273250\pi\) |
−0.492547 | + | 0.870286i | \(0.663934\pi\) | |||||||
\(992\) | −6009.84 | − | 34083.5i | −0.192351 | − | 1.09088i | ||||
\(993\) | −44248.2 | + | 14532.5i | −1.41407 | + | 0.464427i | ||||
\(994\) | −6821.12 | + | 2482.69i | −0.217659 | + | 0.0792213i | ||||
\(995\) | 1973.55 | − | 11192.5i | 0.0628800 | − | 0.356610i | ||||
\(996\) | −28787.7 | + | 22638.9i | −0.915836 | + | 0.720223i | ||||
\(997\) | −8438.56 | + | 7080.79i | −0.268056 | + | 0.224926i | −0.766901 | − | 0.641766i | \(-0.778202\pi\) |
0.498845 | + | 0.866691i | \(0.333758\pi\) | |||||||
\(998\) | −16110.1 | −0.510977 | ||||||||
\(999\) | 4684.34 | + | 447.285i | 0.148354 | + | 0.0141656i |
(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 | 27.4.e.a.22.5 | yes | 48 | |
3.2 | odd | 2 | 81.4.e.a.37.4 | 48 | |||
9.2 | odd | 6 | 243.4.e.b.190.5 | 48 | |||
9.4 | even | 3 | 243.4.e.d.28.5 | 48 | |||
9.5 | odd | 6 | 243.4.e.a.28.4 | 48 | |||
9.7 | even | 3 | 243.4.e.c.190.4 | 48 | |||
27.2 | odd | 18 | 243.4.e.b.55.5 | 48 | |||
27.4 | even | 9 | 729.4.a.d.1.13 | 24 | |||
27.7 | even | 9 | 243.4.e.d.217.5 | 48 | |||
27.11 | odd | 18 | 81.4.e.a.46.4 | 48 | |||
27.16 | even | 9 | inner | 27.4.e.a.16.5 | ✓ | 48 | |
27.20 | odd | 18 | 243.4.e.a.217.4 | 48 | |||
27.23 | odd | 18 | 729.4.a.c.1.12 | 24 | |||
27.25 | even | 9 | 243.4.e.c.55.4 | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
27.4.e.a.16.5 | ✓ | 48 | 27.16 | even | 9 | inner | |
27.4.e.a.22.5 | yes | 48 | 1.1 | even | 1 | trivial | |
81.4.e.a.37.4 | 48 | 3.2 | odd | 2 | |||
81.4.e.a.46.4 | 48 | 27.11 | odd | 18 | |||
243.4.e.a.28.4 | 48 | 9.5 | odd | 6 | |||
243.4.e.a.217.4 | 48 | 27.20 | odd | 18 | |||
243.4.e.b.55.5 | 48 | 27.2 | odd | 18 | |||
243.4.e.b.190.5 | 48 | 9.2 | odd | 6 | |||
243.4.e.c.55.4 | 48 | 27.25 | even | 9 | |||
243.4.e.c.190.4 | 48 | 9.7 | even | 3 | |||
243.4.e.d.28.5 | 48 | 9.4 | even | 3 | |||
243.4.e.d.217.5 | 48 | 27.7 | even | 9 | |||
729.4.a.c.1.12 | 24 | 27.23 | odd | 18 | |||
729.4.a.d.1.13 | 24 | 27.4 | even | 9 |