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 | 13.6 | ||
Character | \(\chi\) | \(=\) | 27.13 |
Dual form | 27.4.e.a.25.6 |
$q$-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 \(\left(\mathbb{Z}/27\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{4}{9}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.553775 | + | 3.14062i | 0.195789 | + | 1.11038i | 0.911291 | + | 0.411764i | \(0.135087\pi\) |
−0.715501 | + | 0.698611i | \(0.753802\pi\) | |||||||
\(3\) | −0.697722 | + | 5.14910i | −0.134277 | + | 0.990944i | ||||
\(4\) | −2.03925 | + | 0.742228i | −0.254907 | + | 0.0927785i | ||||
\(5\) | −10.9819 | − | 9.21490i | −0.982250 | − | 0.824206i | 0.00217737 | − | 0.999998i | \(-0.499307\pi\) |
−0.984427 | + | 0.175792i | \(0.943751\pi\) | |||||||
\(6\) | −16.5577 | + | 0.660166i | −1.12661 | + | 0.0449186i | ||||
\(7\) | 30.2596 | + | 11.0136i | 1.63387 | + | 0.594679i | 0.985951 | − | 0.167033i | \(-0.0534187\pi\) |
0.647916 | + | 0.761712i | \(0.275641\pi\) | |||||||
\(8\) | 9.29592 | + | 16.1010i | 0.410825 | + | 0.711570i | ||||
\(9\) | −26.0264 | − | 7.18527i | −0.963940 | − | 0.266121i | ||||
\(10\) | 22.8590 | − | 39.5929i | 0.722864 | − | 1.25204i | ||||
\(11\) | 15.6100 | − | 13.0984i | 0.427873 | − | 0.359028i | −0.403276 | − | 0.915079i | \(-0.632128\pi\) |
0.831148 | + | 0.556051i | \(0.187684\pi\) | |||||||
\(12\) | −2.39897 | − | 11.0182i | −0.0577103 | − | 0.265056i | ||||
\(13\) | 7.14749 | − | 40.5354i | 0.152489 | − | 0.864808i | −0.808557 | − | 0.588418i | \(-0.799751\pi\) |
0.961046 | − | 0.276390i | \(-0.0891380\pi\) | |||||||
\(14\) | −17.8325 | + | 101.133i | −0.340423 | + | 1.93064i | ||||
\(15\) | 55.1107 | − | 50.1174i | 0.948635 | − | 0.862683i | ||||
\(16\) | −58.7185 | + | 49.2707i | −0.917477 | + | 0.769854i | ||||
\(17\) | 14.6690 | − | 25.4075i | 0.209280 | − | 0.362483i | −0.742208 | − | 0.670169i | \(-0.766221\pi\) |
0.951488 | + | 0.307686i | \(0.0995548\pi\) | |||||||
\(18\) | 8.15342 | − | 85.7178i | 0.106766 | − | 1.12244i | ||||
\(19\) | −31.1332 | − | 53.9243i | −0.375918 | − | 0.651110i | 0.614546 | − | 0.788881i | \(-0.289339\pi\) |
−0.990464 | + | 0.137771i | \(0.956006\pi\) | |||||||
\(20\) | 29.2344 | + | 10.6405i | 0.326851 | + | 0.118964i | ||||
\(21\) | −77.8229 | + | 148.125i | −0.808684 | + | 1.53922i | ||||
\(22\) | 49.7814 | + | 41.7715i | 0.482428 | + | 0.404805i | ||||
\(23\) | −97.4029 | + | 35.4518i | −0.883040 | + | 0.321400i | −0.743436 | − | 0.668807i | \(-0.766805\pi\) |
−0.139604 | + | 0.990207i | \(0.544583\pi\) | |||||||
\(24\) | −89.3915 | + | 36.6315i | −0.760290 | + | 0.311558i | ||||
\(25\) | 13.9815 | + | 79.2930i | 0.111852 | + | 0.634344i | ||||
\(26\) | 131.264 | 0.990117 | ||||||||
\(27\) | 55.1568 | − | 128.999i | 0.393146 | − | 0.919476i | ||||
\(28\) | −69.8817 | −0.471657 | ||||||||
\(29\) | 0.781803 | + | 4.43383i | 0.00500611 | + | 0.0283911i | 0.987208 | − | 0.159435i | \(-0.0509671\pi\) |
−0.982202 | + | 0.187826i | \(0.939856\pi\) | |||||||
\(30\) | 187.918 | + | 145.328i | 1.14363 | + | 0.884436i | ||||
\(31\) | −47.4267 | + | 17.2619i | −0.274777 | + | 0.100011i | −0.475733 | − | 0.879590i | \(-0.657817\pi\) |
0.200956 | + | 0.979600i | \(0.435595\pi\) | |||||||
\(32\) | −73.3198 | − | 61.5226i | −0.405038 | − | 0.339867i | ||||
\(33\) | 56.5533 | + | 89.5165i | 0.298323 | + | 0.472207i | ||||
\(34\) | 87.9184 | + | 31.9997i | 0.443467 | + | 0.161409i | ||||
\(35\) | −230.819 | − | 399.790i | −1.11473 | − | 1.93077i | ||||
\(36\) | 58.4075 | − | 4.66490i | 0.270405 | − | 0.0215968i | ||||
\(37\) | −29.6947 | + | 51.4327i | −0.131940 | + | 0.228526i | −0.924424 | − | 0.381366i | \(-0.875454\pi\) |
0.792484 | + | 0.609892i | \(0.208787\pi\) | |||||||
\(38\) | 152.115 | − | 127.639i | 0.649375 | − | 0.544891i | ||||
\(39\) | 203.734 | + | 65.0855i | 0.836500 | + | 0.267231i | ||||
\(40\) | 46.2824 | − | 262.480i | 0.182947 | − | 1.03754i | ||||
\(41\) | 33.1564 | − | 188.039i | 0.126297 | − | 0.716263i | −0.854233 | − | 0.519891i | \(-0.825973\pi\) |
0.980529 | − | 0.196373i | \(-0.0629162\pi\) | |||||||
\(42\) | −508.301 | − | 162.384i | −1.86744 | − | 0.596580i | ||||
\(43\) | −270.590 | + | 227.052i | −0.959641 | + | 0.805234i | −0.980895 | − | 0.194540i | \(-0.937679\pi\) |
0.0212539 | + | 0.999774i | \(0.493234\pi\) | |||||||
\(44\) | −22.1108 | + | 38.2971i | −0.0757576 | + | 0.131216i | ||||
\(45\) | 219.607 | + | 318.738i | 0.727491 | + | 1.05588i | ||||
\(46\) | −165.280 | − | 286.273i | −0.529764 | − | 0.917578i | ||||
\(47\) | 282.646 | + | 102.875i | 0.877194 | + | 0.319272i | 0.741077 | − | 0.671420i | \(-0.234315\pi\) |
0.136117 | + | 0.990693i | \(0.456538\pi\) | |||||||
\(48\) | −212.730 | − | 336.724i | −0.639687 | − | 1.01254i | ||||
\(49\) | 531.593 | + | 446.059i | 1.54983 | + | 1.30046i | ||||
\(50\) | −241.286 | + | 87.8210i | −0.682460 | + | 0.248395i | ||||
\(51\) | 120.591 | + | 93.2594i | 0.331099 | + | 0.256057i | ||||
\(52\) | 15.5110 | + | 87.9671i | 0.0413651 | + | 0.234593i | ||||
\(53\) | −128.439 | −0.332876 | −0.166438 | − | 0.986052i | \(-0.553227\pi\) | ||||
−0.166438 | + | 0.986052i | \(0.553227\pi\) | |||||||
\(54\) | 435.680 | + | 101.790i | 1.09794 | + | 0.256516i | ||||
\(55\) | −292.128 | −0.716191 | ||||||||
\(56\) | 103.961 | + | 589.592i | 0.248078 | + | 1.40692i | ||||
\(57\) | 299.384 | − | 122.684i | 0.695690 | − | 0.285085i | ||||
\(58\) | −13.4920 | + | 4.91069i | −0.0305446 | + | 0.0111173i | ||||
\(59\) | 440.395 | + | 369.535i | 0.971771 | + | 0.815413i | 0.982828 | − | 0.184526i | \(-0.0590749\pi\) |
−0.0110562 | + | 0.999939i | \(0.503519\pi\) | |||||||
\(60\) | −75.1862 | + | 143.107i | −0.161775 | + | 0.307917i | ||||
\(61\) | −633.299 | − | 230.502i | −1.32927 | − | 0.483816i | −0.422855 | − | 0.906197i | \(-0.638972\pi\) |
−0.906418 | + | 0.422382i | \(0.861194\pi\) | |||||||
\(62\) | −80.4767 | − | 139.390i | −0.164848 | − | 0.285525i | ||||
\(63\) | −708.413 | − | 504.068i | −1.41669 | − | 1.00804i | ||||
\(64\) | −153.990 | + | 266.719i | −0.300762 | + | 0.520935i | ||||
\(65\) | −452.023 | + | 379.292i | −0.862562 | + | 0.723775i | ||||
\(66\) | −249.819 | + | 227.184i | −0.465918 | + | 0.423703i | ||||
\(67\) | 127.040 | − | 720.481i | 0.231648 | − | 1.31374i | −0.617910 | − | 0.786249i | \(-0.712021\pi\) |
0.849559 | − | 0.527494i | \(-0.176868\pi\) | |||||||
\(68\) | −11.0557 | + | 62.7000i | −0.0197162 | + | 0.111816i | ||||
\(69\) | −114.584 | − | 526.272i | −0.199918 | − | 0.918199i | ||||
\(70\) | 1127.76 | − | 946.306i | 1.92562 | − | 1.61579i | ||||
\(71\) | −223.375 | + | 386.897i | −0.373377 | + | 0.646708i | −0.990083 | − | 0.140486i | \(-0.955134\pi\) |
0.616706 | + | 0.787194i | \(0.288467\pi\) | |||||||
\(72\) | −126.249 | − | 485.844i | −0.206647 | − | 0.795240i | ||||
\(73\) | 408.446 | + | 707.450i | 0.654863 | + | 1.13426i | 0.981928 | + | 0.189255i | \(0.0606072\pi\) |
−0.327065 | + | 0.945002i | \(0.606059\pi\) | |||||||
\(74\) | −177.974 | − | 64.7774i | −0.279582 | − | 0.101760i | ||||
\(75\) | −418.042 | + | 16.6676i | −0.643618 | + | 0.0256614i | ||||
\(76\) | 103.513 | + | 86.8575i | 0.156233 | + | 0.131095i | ||||
\(77\) | 616.614 | − | 224.429i | 0.912593 | − | 0.332157i | ||||
\(78\) | −91.5859 | + | 675.892i | −0.132950 | + | 0.981150i | ||||
\(79\) | 13.9053 | + | 78.8610i | 0.0198034 | + | 0.112311i | 0.993107 | − | 0.117210i | \(-0.0373951\pi\) |
−0.973304 | + | 0.229521i | \(0.926284\pi\) | |||||||
\(80\) | 1098.86 | 1.53571 | ||||||||
\(81\) | 625.744 | + | 374.013i | 0.858359 | + | 0.513050i | ||||
\(82\) | 608.920 | 0.820048 | ||||||||
\(83\) | −177.693 | − | 1007.75i | −0.234992 | − | 1.33270i | −0.842631 | − | 0.538491i | \(-0.818995\pi\) |
0.607640 | − | 0.794213i | \(-0.292116\pi\) | |||||||
\(84\) | 48.7580 | − | 359.828i | 0.0633326 | − | 0.467386i | ||||
\(85\) | −395.220 | + | 143.848i | −0.504326 | + | 0.183559i | ||||
\(86\) | −862.928 | − | 724.083i | −1.08200 | − | 0.907905i | ||||
\(87\) | −23.3757 | + | 0.932002i | −0.0288062 | + | 0.00114852i | ||||
\(88\) | 356.006 | + | 129.576i | 0.431254 | + | 0.156964i | ||||
\(89\) | −241.246 | − | 417.851i | −0.287327 | − | 0.497664i | 0.685844 | − | 0.727748i | \(-0.259433\pi\) |
−0.973171 | + | 0.230084i | \(0.926100\pi\) | |||||||
\(90\) | −879.421 | + | 866.211i | −1.02999 | + | 1.01452i | ||||
\(91\) | 662.722 | − | 1147.87i | 0.763430 | − | 1.32230i | ||||
\(92\) | 172.316 | − | 144.590i | 0.195274 | − | 0.163854i | ||||
\(93\) | −55.7926 | − | 256.249i | −0.0622088 | − | 0.285718i | ||||
\(94\) | −166.567 | + | 944.651i | −0.182767 | + | 1.03652i | ||||
\(95\) | −155.006 | + | 879.080i | −0.167402 | + | 0.949387i | ||||
\(96\) | 367.942 | − | 334.605i | 0.391177 | − | 0.355734i | ||||
\(97\) | −1013.02 | + | 850.025i | −1.06038 | + | 0.889763i | −0.994146 | − | 0.108041i | \(-0.965542\pi\) |
−0.0662317 | + | 0.997804i | \(0.521098\pi\) | |||||||
\(98\) | −1106.52 | + | 1916.55i | −1.14056 | + | 1.97551i | ||||
\(99\) | −500.387 | + | 228.741i | −0.507988 | + | 0.232215i | ||||
\(100\) | −87.3653 | − | 151.321i | −0.0873653 | − | 0.151321i | ||||
\(101\) | −478.256 | − | 174.071i | −0.471171 | − | 0.171492i | 0.0955119 | − | 0.995428i | \(-0.469551\pi\) |
−0.566683 | + | 0.823936i | \(0.691773\pi\) | |||||||
\(102\) | −226.112 | + | 430.373i | −0.219494 | + | 0.417777i | ||||
\(103\) | −1004.20 | − | 842.621i | −0.960645 | − | 0.806077i | 0.0204132 | − | 0.999792i | \(-0.493502\pi\) |
−0.981058 | + | 0.193715i | \(0.937946\pi\) | |||||||
\(104\) | 719.103 | − | 261.732i | 0.678018 | − | 0.246778i | ||||
\(105\) | 2219.60 | − | 909.566i | 2.06296 | − | 0.845376i | ||||
\(106\) | −71.1262 | − | 403.376i | −0.0651734 | − | 0.369617i | ||||
\(107\) | 1146.52 | 1.03587 | 0.517937 | − | 0.855419i | \(-0.326700\pi\) | ||||
0.517937 | + | 0.855419i | \(0.326700\pi\) | |||||||
\(108\) | −16.7322 | + | 304.001i | −0.0149079 | + | 0.270856i | ||||
\(109\) | 325.587 | 0.286106 | 0.143053 | − | 0.989715i | \(-0.454308\pi\) | ||||
0.143053 | + | 0.989715i | \(0.454308\pi\) | |||||||
\(110\) | −161.773 | − | 917.460i | −0.140222 | − | 0.795240i | ||||
\(111\) | −244.113 | − | 188.786i | −0.208740 | − | 0.161431i | ||||
\(112\) | −2319.45 | + | 844.210i | −1.95685 | + | 0.712236i | ||||
\(113\) | 237.949 | + | 199.663i | 0.198091 | + | 0.166218i | 0.736438 | − | 0.676505i | \(-0.236506\pi\) |
−0.538347 | + | 0.842724i | \(0.680951\pi\) | |||||||
\(114\) | 551.094 | + | 872.310i | 0.452760 | + | 0.716661i | ||||
\(115\) | 1396.35 | + | 508.231i | 1.13227 | + | 0.412111i | ||||
\(116\) | −4.88521 | − | 8.46143i | −0.00391017 | − | 0.00677262i | ||||
\(117\) | −477.281 | + | 1003.63i | −0.377134 | + | 0.793042i | ||||
\(118\) | −916.688 | + | 1587.75i | −0.715152 | + | 1.23868i | ||||
\(119\) | 723.706 | − | 607.262i | 0.557496 | − | 0.467795i | ||||
\(120\) | 1319.24 | + | 421.450i | 1.00358 | + | 0.320608i | ||||
\(121\) | −159.020 | + | 901.848i | −0.119474 | + | 0.677571i | ||||
\(122\) | 373.213 | − | 2116.59i | 0.276960 | − | 1.57072i | ||||
\(123\) | 945.098 | + | 301.925i | 0.692818 | + | 0.221330i | ||||
\(124\) | 83.9028 | − | 70.4028i | 0.0607637 | − | 0.0509868i | ||||
\(125\) | −318.856 | + | 552.275i | −0.228155 | + | 0.395176i | ||||
\(126\) | 1190.78 | − | 2503.99i | 0.841931 | − | 1.77042i | ||||
\(127\) | 6.15688 | + | 10.6640i | 0.00430185 | + | 0.00745102i | 0.868168 | − | 0.496270i | \(-0.165297\pi\) |
−0.863866 | + | 0.503721i | \(0.831964\pi\) | |||||||
\(128\) | −1642.46 | − | 597.806i | −1.13417 | − | 0.412805i | ||||
\(129\) | −980.315 | − | 1551.71i | −0.669085 | − | 1.05907i | ||||
\(130\) | −1441.53 | − | 1209.59i | −0.972542 | − | 0.816060i | ||||
\(131\) | −926.134 | + | 337.085i | −0.617684 | + | 0.224819i | −0.631862 | − | 0.775081i | \(-0.717709\pi\) |
0.0141778 | + | 0.999899i | \(0.495487\pi\) | |||||||
\(132\) | −181.768 | − | 140.572i | −0.119855 | − | 0.0926908i | ||||
\(133\) | −348.179 | − | 1974.62i | −0.226999 | − | 1.28738i | ||||
\(134\) | 2333.11 | 1.50410 | ||||||||
\(135\) | −1794.44 | + | 908.387i | −1.14400 | + | 0.579123i | ||||
\(136\) | 545.447 | 0.343910 | ||||||||
\(137\) | 112.885 | + | 640.204i | 0.0703973 | + | 0.399243i | 0.999562 | + | 0.0295782i | \(0.00941640\pi\) |
−0.929165 | + | 0.369665i | \(0.879472\pi\) | |||||||
\(138\) | 1589.36 | − | 651.302i | 0.980404 | − | 0.401757i | ||||
\(139\) | 2677.52 | − | 974.536i | 1.63384 | − | 0.594670i | 0.647895 | − | 0.761730i | \(-0.275650\pi\) |
0.985947 | + | 0.167060i | \(0.0534274\pi\) | |||||||
\(140\) | 767.433 | + | 643.953i | 0.463285 | + | 0.388743i | ||||
\(141\) | −726.919 | + | 1383.59i | −0.434168 | + | 0.826379i | ||||
\(142\) | −1338.79 | − | 487.281i | −0.791191 | − | 0.287970i | ||||
\(143\) | −419.375 | − | 726.379i | −0.245244 | − | 0.424775i | ||||
\(144\) | 1882.25 | − | 860.428i | 1.08927 | − | 0.497933i | ||||
\(145\) | 32.2716 | − | 55.8960i | 0.0184828 | − | 0.0320132i | ||||
\(146\) | −1995.64 | + | 1674.54i | −1.13124 | + | 0.949219i | ||||
\(147\) | −2667.71 | + | 2426.00i | −1.49679 | + | 1.36118i | ||||
\(148\) | 22.3802 | − | 126.925i | 0.0124300 | − | 0.0704941i | ||||
\(149\) | 78.2788 | − | 443.941i | 0.0430393 | − | 0.244088i | −0.955697 | − | 0.294353i | \(-0.904896\pi\) |
0.998736 | + | 0.0502657i | \(0.0160068\pi\) | |||||||
\(150\) | −283.848 | − | 1303.68i | −0.154507 | − | 0.709634i | ||||
\(151\) | 278.120 | − | 233.370i | 0.149888 | − | 0.125771i | −0.564760 | − | 0.825255i | \(-0.691031\pi\) |
0.714648 | + | 0.699484i | \(0.246587\pi\) | |||||||
\(152\) | 578.823 | − | 1002.55i | 0.308874 | − | 0.534985i | ||||
\(153\) | −564.340 | + | 555.863i | −0.298197 | + | 0.293718i | ||||
\(154\) | 1046.31 | + | 1812.26i | 0.547494 | + | 0.948288i | ||||
\(155\) | 679.901 | + | 247.464i | 0.352329 | + | 0.128237i | ||||
\(156\) | −463.773 | + | 18.4909i | −0.238023 | + | 0.00949012i | ||||
\(157\) | 1691.02 | + | 1418.93i | 0.859605 | + | 0.721294i | 0.961883 | − | 0.273462i | \(-0.0881688\pi\) |
−0.102278 | + | 0.994756i | \(0.532613\pi\) | |||||||
\(158\) | −239.972 | + | 87.3425i | −0.120830 | + | 0.0439785i | ||||
\(159\) | 89.6145 | − | 661.343i | 0.0446974 | − | 0.329861i | ||||
\(160\) | 238.265 | + | 1351.27i | 0.117728 | + | 0.667670i | ||||
\(161\) | −3337.83 | −1.63390 | ||||||||
\(162\) | −828.110 | + | 2172.34i | −0.401620 | + | 1.05355i | ||||
\(163\) | −64.8931 | −0.0311829 | −0.0155915 | − | 0.999878i | \(-0.504963\pi\) | ||||
−0.0155915 | + | 0.999878i | \(0.504963\pi\) | |||||||
\(164\) | 71.9537 | + | 408.070i | 0.0342600 | + | 0.194298i | ||||
\(165\) | 203.824 | − | 1504.19i | 0.0961676 | − | 0.709705i | ||||
\(166\) | 3066.54 | − | 1116.13i | 1.43379 | − | 0.521858i | ||||
\(167\) | 1807.26 | + | 1516.47i | 0.837423 | + | 0.702681i | 0.956982 | − | 0.290146i | \(-0.0937038\pi\) |
−0.119560 | + | 0.992827i | \(0.538148\pi\) | |||||||
\(168\) | −3108.40 | + | 123.934i | −1.42749 | + | 0.0569149i | ||||
\(169\) | 472.471 | + | 171.965i | 0.215053 | + | 0.0782728i | ||||
\(170\) | −670.636 | − | 1161.58i | −0.302561 | − | 0.524052i | ||||
\(171\) | 422.824 | + | 1627.15i | 0.189089 | + | 0.727670i | ||||
\(172\) | 383.277 | − | 663.856i | 0.169911 | − | 0.294294i | ||||
\(173\) | 1913.17 | − | 1605.34i | 0.840783 | − | 0.705501i | −0.116957 | − | 0.993137i | \(-0.537314\pi\) |
0.957740 | + | 0.287636i | \(0.0928694\pi\) | |||||||
\(174\) | −15.8719 | − | 72.8979i | −0.00691522 | − | 0.0317608i | ||||
\(175\) | −450.227 | + | 2553.36i | −0.194480 | + | 1.10295i | ||||
\(176\) | −271.232 | + | 1538.23i | −0.116164 | + | 0.658799i | ||||
\(177\) | −2210.04 | + | 2009.80i | −0.938515 | + | 0.853480i | ||||
\(178\) | 1178.71 | − | 989.058i | 0.496339 | − | 0.416478i | ||||
\(179\) | −1968.57 | + | 3409.66i | −0.821997 | + | 1.42374i | 0.0821954 | + | 0.996616i | \(0.473807\pi\) |
−0.904193 | + | 0.427125i | \(0.859526\pi\) | |||||||
\(180\) | −684.411 | − | 486.990i | −0.283406 | − | 0.201656i | ||||
\(181\) | −2152.95 | − | 3729.01i | −0.884129 | − | 1.53136i | −0.846709 | − | 0.532056i | \(-0.821419\pi\) |
−0.0374198 | − | 0.999300i | \(-0.511914\pi\) | |||||||
\(182\) | 3972.01 | + | 1445.69i | 1.61772 | + | 0.588802i | ||||
\(183\) | 1628.74 | − | 3100.09i | 0.657924 | − | 1.25227i | ||||
\(184\) | −1476.26 | − | 1238.73i | −0.591474 | − | 0.496305i | ||||
\(185\) | 800.050 | − | 291.195i | 0.317951 | − | 0.115725i | ||||
\(186\) | 773.882 | − | 317.127i | 0.305074 | − | 0.125016i | ||||
\(187\) | −103.813 | − | 588.751i | −0.0405964 | − | 0.230234i | ||||
\(188\) | −652.743 | −0.253224 | ||||||||
\(189\) | 3089.77 | − | 3295.99i | 1.18914 | − | 1.26851i | ||||
\(190\) | −2846.69 | −1.08695 | ||||||||
\(191\) | 696.054 | + | 3947.52i | 0.263689 | + | 1.49546i | 0.772741 | + | 0.634721i | \(0.218885\pi\) |
−0.509052 | + | 0.860736i | \(0.670004\pi\) | |||||||
\(192\) | −1265.92 | − | 979.006i | −0.475832 | − | 0.367988i | ||||
\(193\) | 1978.35 | − | 720.061i | 0.737849 | − | 0.268555i | 0.0543656 | − | 0.998521i | \(-0.482686\pi\) |
0.683483 | + | 0.729966i | \(0.260464\pi\) | |||||||
\(194\) | −3230.59 | − | 2710.79i | −1.19558 | − | 1.00321i | ||||
\(195\) | −1637.62 | − | 2592.15i | −0.601399 | − | 0.951936i | ||||
\(196\) | −1415.13 | − | 515.066i | −0.515718 | − | 0.187706i | ||||
\(197\) | −437.504 | − | 757.779i | −0.158228 | − | 0.274059i | 0.776002 | − | 0.630731i | \(-0.217245\pi\) |
−0.934230 | + | 0.356672i | \(0.883911\pi\) | |||||||
\(198\) | −995.488 | − | 1444.85i | −0.357304 | − | 0.518592i | ||||
\(199\) | 477.760 | − | 827.505i | 0.170188 | − | 0.294775i | −0.768297 | − | 0.640093i | \(-0.778896\pi\) |
0.938486 | + | 0.345318i | \(0.112229\pi\) | |||||||
\(200\) | −1146.73 | + | 962.217i | −0.405429 | + | 0.340195i | ||||
\(201\) | 3621.19 | + | 1156.84i | 1.27074 | + | 0.405955i | ||||
\(202\) | 281.844 | − | 1598.41i | 0.0981705 | − | 0.556753i | ||||
\(203\) | −25.1754 | + | 142.777i | −0.00870425 | + | 0.0493643i | ||||
\(204\) | −315.135 | − | 100.674i | −0.108156 | − | 0.0345519i | ||||
\(205\) | −2096.88 | + | 1759.49i | −0.714403 | + | 0.599455i | ||||
\(206\) | 2090.25 | − | 3620.42i | 0.706964 | − | 1.22450i | ||||
\(207\) | 2789.77 | − | 222.814i | 0.936728 | − | 0.0748147i | ||||
\(208\) | 1577.52 | + | 2732.34i | 0.525871 | + | 0.910835i | ||||
\(209\) | −1192.31 | − | 433.966i | −0.394612 | − | 0.143627i | ||||
\(210\) | 4085.76 | + | 6467.22i | 1.34259 | + | 2.12515i | ||||
\(211\) | −841.508 | − | 706.109i | −0.274558 | − | 0.230382i | 0.495103 | − | 0.868834i | \(-0.335130\pi\) |
−0.769661 | + | 0.638453i | \(0.779575\pi\) | |||||||
\(212\) | 261.919 | − | 95.3308i | 0.0848523 | − | 0.0308837i | ||||
\(213\) | −1836.32 | − | 1420.13i | −0.590715 | − | 0.456833i | ||||
\(214\) | 634.915 | + | 3600.78i | 0.202813 | + | 1.15021i | ||||
\(215\) | 5063.85 | 1.60629 | ||||||||
\(216\) | 2589.74 | − | 311.083i | 0.815786 | − | 0.0979932i | ||||
\(217\) | −1625.23 | −0.508423 | ||||||||
\(218\) | 180.302 | + | 1022.54i | 0.0560165 | + | 0.317685i | ||||
\(219\) | −3927.71 | + | 1609.53i | −1.21192 | + | 0.496629i | ||||
\(220\) | 595.723 | − | 216.825i | 0.182562 | − | 0.0664471i | ||||
\(221\) | −925.055 | − | 776.214i | −0.281565 | − | 0.236261i | ||||
\(222\) | 457.722 | − | 871.211i | 0.138380 | − | 0.263387i | ||||
\(223\) | −190.606 | − | 69.3748i | −0.0572372 | − | 0.0208326i | 0.313243 | − | 0.949673i | \(-0.398585\pi\) |
−0.370480 | + | 0.928840i | \(0.620807\pi\) | |||||||
\(224\) | −1541.04 | − | 2669.17i | −0.459667 | − | 0.796166i | ||||
\(225\) | 205.854 | − | 2164.17i | 0.0609939 | − | 0.641235i | ||||
\(226\) | −495.293 | + | 857.873i | −0.145781 | + | 0.252499i | ||||
\(227\) | 2286.32 | − | 1918.45i | 0.668494 | − | 0.560933i | −0.244125 | − | 0.969744i | \(-0.578501\pi\) |
0.912619 | + | 0.408811i | \(0.134056\pi\) | |||||||
\(228\) | −519.460 | + | 472.394i | −0.150886 | + | 0.137215i | ||||
\(229\) | −198.375 | + | 1125.04i | −0.0572446 | + | 0.324650i | −0.999960 | − | 0.00894782i | \(-0.997152\pi\) |
0.942715 | + | 0.333598i | \(0.108263\pi\) | |||||||
\(230\) | −822.892 | + | 4666.85i | −0.235912 | + | 1.33793i | ||||
\(231\) | 725.382 | + | 3331.59i | 0.206609 | + | 0.948930i | ||||
\(232\) | −64.1215 | + | 53.8043i | −0.0181456 | + | 0.0152260i | ||||
\(233\) | 2058.19 | − | 3564.89i | 0.578698 | − | 1.00233i | −0.416931 | − | 0.908938i | \(-0.636894\pi\) |
0.995629 | − | 0.0933962i | \(-0.0297723\pi\) | |||||||
\(234\) | −3416.33 | − | 943.169i | −0.954413 | − | 0.263491i | ||||
\(235\) | −2156.00 | − | 3734.31i | −0.598477 | − | 1.03659i | ||||
\(236\) | −1172.36 | − | 426.703i | −0.323364 | − | 0.117695i | ||||
\(237\) | −415.765 | + | 16.5768i | −0.113953 | + | 0.00454337i | ||||
\(238\) | 2307.95 | + | 1936.60i | 0.628580 | + | 0.527441i | ||||
\(239\) | −5774.59 | + | 2101.78i | −1.56287 | + | 0.568840i | −0.971393 | − | 0.237479i | \(-0.923679\pi\) |
−0.591481 | + | 0.806319i | \(0.701457\pi\) | |||||||
\(240\) | −766.702 | + | 5658.16i | −0.206210 | + | 1.52180i | ||||
\(241\) | 841.776 | + | 4773.95i | 0.224994 | + | 1.27600i | 0.862697 | + | 0.505722i | \(0.168774\pi\) |
−0.637702 | + | 0.770283i | \(0.720115\pi\) | |||||||
\(242\) | −2920.42 | −0.775750 | ||||||||
\(243\) | −2362.42 | + | 2961.06i | −0.623661 | + | 0.781695i | ||||
\(244\) | 1462.54 | 0.383728 | ||||||||
\(245\) | −1727.50 | − | 9797.15i | −0.450474 | − | 2.55476i | ||||
\(246\) | −424.857 | + | 3135.39i | −0.110113 | + | 0.812622i | ||||
\(247\) | −2408.37 | + | 876.575i | −0.620408 | + | 0.225810i | ||||
\(248\) | −718.808 | − | 603.152i | −0.184050 | − | 0.154436i | ||||
\(249\) | 5312.96 | − | 211.831i | 1.35219 | − | 0.0539125i | ||||
\(250\) | −1911.06 | − | 695.568i | −0.483464 | − | 0.175966i | ||||
\(251\) | 1093.63 | + | 1894.22i | 0.275017 | + | 0.476343i | 0.970139 | − | 0.242548i | \(-0.0779832\pi\) |
−0.695122 | + | 0.718891i | \(0.744650\pi\) | |||||||
\(252\) | 1818.77 | + | 502.119i | 0.454649 | + | 0.125518i | ||||
\(253\) | −1056.10 | + | 1829.22i | −0.262437 | + | 0.454554i | ||||
\(254\) | −30.0821 | + | 25.2419i | −0.00743118 | + | 0.00623550i | ||||
\(255\) | −464.936 | − | 2135.39i | −0.114178 | − | 0.524406i | ||||
\(256\) | 540.083 | − | 3062.96i | 0.131856 | − | 0.747794i | ||||
\(257\) | 140.686 | − | 797.871i | 0.0341469 | − | 0.193657i | −0.962963 | − | 0.269635i | \(-0.913097\pi\) |
0.997109 | + | 0.0759783i | \(0.0242080\pi\) | |||||||
\(258\) | 4330.45 | − | 3938.09i | 1.04497 | − | 0.950290i | ||||
\(259\) | −1465.01 | + | 1229.29i | −0.351472 | + | 0.294920i | ||||
\(260\) | 640.268 | − | 1108.98i | 0.152722 | − | 0.264522i | ||||
\(261\) | 11.5108 | − | 121.014i | 0.00272988 | − | 0.0286995i | ||||
\(262\) | −1571.52 | − | 2721.96i | −0.370569 | − | 0.641844i | ||||
\(263\) | 2743.81 | + | 998.665i | 0.643310 | + | 0.234146i | 0.643014 | − | 0.765854i | \(-0.277684\pi\) |
0.000295868 | 1.00000i | \(0.499906\pi\) | ||||||||
\(264\) | −915.591 | + | 1742.70i | −0.213450 | + | 0.406272i | ||||
\(265\) | 1410.50 | + | 1183.55i | 0.326967 | + | 0.274358i | ||||
\(266\) | 6008.71 | − | 2186.99i | 1.38503 | − | 0.504109i | ||||
\(267\) | 2319.88 | − | 950.657i | 0.531739 | − | 0.217900i | ||||
\(268\) | 275.694 | + | 1563.54i | 0.0628383 | + | 0.356374i | ||||
\(269\) | −6017.64 | −1.36395 | −0.681974 | − | 0.731377i | \(-0.738878\pi\) | ||||
−0.681974 | + | 0.731377i | \(0.738878\pi\) | |||||||
\(270\) | −3846.61 | − | 5132.60i | −0.867027 | − | 1.15689i | ||||
\(271\) | 2048.63 | 0.459208 | 0.229604 | − | 0.973284i | \(-0.426257\pi\) | ||||
0.229604 | + | 0.973284i | \(0.426257\pi\) | |||||||
\(272\) | 390.501 | + | 2214.64i | 0.0870499 | + | 0.493685i | ||||
\(273\) | 5448.08 | + | 4213.31i | 1.20781 | + | 0.934070i | ||||
\(274\) | −1948.12 | + | 709.058i | −0.429527 | + | 0.156335i | ||||
\(275\) | 1256.86 | + | 1054.63i | 0.275606 | + | 0.231260i | ||||
\(276\) | 624.281 | + | 988.156i | 0.136150 | + | 0.215507i | ||||
\(277\) | 3934.69 | + | 1432.11i | 0.853474 | + | 0.310639i | 0.731456 | − | 0.681889i | \(-0.238841\pi\) |
0.122018 | + | 0.992528i | \(0.461063\pi\) | |||||||
\(278\) | 4543.38 | + | 7869.37i | 0.980195 | + | 1.69775i | ||||
\(279\) | 1358.38 | − | 108.491i | 0.291483 | − | 0.0232802i | ||||
\(280\) | 4291.34 | − | 7432.82i | 0.915917 | − | 1.58641i | ||||
\(281\) | −84.4702 | + | 70.8789i | −0.0179326 | + | 0.0150473i | −0.651710 | − | 0.758468i | \(-0.725948\pi\) |
0.633777 | + | 0.773516i | \(0.281504\pi\) | |||||||
\(282\) | −4747.88 | − | 1516.77i | −1.00260 | − | 0.320293i | ||||
\(283\) | 539.734 | − | 3060.98i | 0.113370 | − | 0.642956i | −0.874174 | − | 0.485613i | \(-0.838596\pi\) |
0.987544 | − | 0.157342i | \(-0.0502926\pi\) | |||||||
\(284\) | 168.353 | − | 954.777i | 0.0351758 | − | 0.199492i | ||||
\(285\) | −4418.32 | − | 1411.49i | −0.918311 | − | 0.293367i | ||||
\(286\) | 2049.04 | − | 1719.35i | 0.423644 | − | 0.355479i | ||||
\(287\) | 3074.29 | − | 5324.83i | 0.632298 | − | 1.09517i | ||||
\(288\) | 1466.19 | + | 2128.03i | 0.299986 | + | 0.435401i | ||||
\(289\) | 2026.14 | + | 3509.38i | 0.412404 | + | 0.714305i | ||||
\(290\) | 193.419 | + | 70.3988i | 0.0391654 | + | 0.0142550i | ||||
\(291\) | −3670.06 | − | 5809.22i | −0.739321 | − | 1.17025i | ||||
\(292\) | −1358.02 | − | 1139.51i | −0.272164 | − | 0.228373i | ||||
\(293\) | −9124.08 | + | 3320.89i | −1.81923 | + | 0.662145i | −0.823774 | + | 0.566919i | \(0.808135\pi\) |
−0.995456 | + | 0.0952266i | \(0.969642\pi\) | |||||||
\(294\) | −9096.43 | − | 7034.78i | −1.80447 | − | 1.39550i | ||||
\(295\) | −1431.14 | − | 8116.39i | −0.282454 | − | 1.60188i | ||||
\(296\) | −1104.16 | −0.216817 | ||||||||
\(297\) | −828.676 | − | 2736.14i | −0.161901 | − | 0.534569i | ||||
\(298\) | 1437.60 | 0.279456 | ||||||||
\(299\) | 740.866 | + | 4201.66i | 0.143296 | + | 0.812670i | ||||
\(300\) | 840.124 | − | 344.272i | 0.161682 | − | 0.0662552i | ||||
\(301\) | −10688.6 | + | 3890.34i | −2.04678 | + | 0.744967i | ||||
\(302\) | 886.942 | + | 744.232i | 0.168999 | + | 0.141807i | ||||
\(303\) | 1230.00 | − | 2341.13i | 0.233206 | − | 0.443876i | ||||
\(304\) | 4484.98 | + | 1632.40i | 0.846156 | + | 0.307976i | ||||
\(305\) | 4830.77 | + | 8367.13i | 0.906914 | + | 1.57082i | ||||
\(306\) | −2058.27 | − | 1464.55i | −0.384521 | − | 0.273604i | ||||
\(307\) | −1925.30 | + | 3334.72i | −0.357924 | + | 0.619942i | −0.987614 | − | 0.156904i | \(-0.949849\pi\) |
0.629690 | + | 0.776847i | \(0.283182\pi\) | |||||||
\(308\) | −1090.86 | + | 915.336i | −0.201809 | + | 0.169338i | ||||
\(309\) | 5039.38 | − | 4582.79i | 0.927769 | − | 0.843708i | ||||
\(310\) | −400.676 | + | 2272.35i | −0.0734093 | + | 0.416325i | ||||
\(311\) | 1180.90 | − | 6697.21i | 0.215314 | − | 1.22111i | −0.665047 | − | 0.746801i | \(-0.731589\pi\) |
0.880361 | − | 0.474304i | \(-0.157300\pi\) | |||||||
\(312\) | 845.950 | + | 3885.35i | 0.153502 | + | 0.705014i | ||||
\(313\) | −2544.69 | + | 2135.25i | −0.459535 | + | 0.385596i | −0.842960 | − | 0.537976i | \(-0.819189\pi\) |
0.383425 | + | 0.923572i | \(0.374745\pi\) | |||||||
\(314\) | −3519.88 | + | 6096.61i | −0.632606 | + | 1.09570i | ||||
\(315\) | 3134.77 | + | 12063.6i | 0.560713 | + | 2.15779i | ||||
\(316\) | −86.8893 | − | 150.497i | −0.0154681 | − | 0.0267915i | ||||
\(317\) | −2049.18 | − | 745.842i | −0.363071 | − | 0.132147i | 0.154042 | − | 0.988064i | \(-0.450771\pi\) |
−0.517113 | + | 0.855917i | \(0.672993\pi\) | |||||||
\(318\) | 2126.65 | − | 84.7908i | 0.375021 | − | 0.0149523i | ||||
\(319\) | 70.2799 | + | 58.9718i | 0.0123352 | + | 0.0103504i | ||||
\(320\) | 4148.89 | − | 1510.07i | 0.724781 | − | 0.263799i | ||||
\(321\) | −799.953 | + | 5903.55i | −0.139094 | + | 1.02649i | ||||
\(322\) | −1848.41 | − | 10482.8i | −0.319900 | − | 1.81424i | ||||
\(323\) | −1826.77 | −0.314688 | ||||||||
\(324\) | −1553.65 | − | 298.263i | −0.266402 | − | 0.0511426i | ||||
\(325\) | 3314.11 | 0.565642 | ||||||||
\(326\) | −35.9362 | − | 203.804i | −0.00610528 | − | 0.0346248i | ||||
\(327\) | −227.169 | + | 1676.48i | −0.0384174 | + | 0.283515i | ||||
\(328\) | 3335.84 | − | 1214.15i | 0.561558 | − | 0.204390i | ||||
\(329\) | 7419.73 | + | 6225.90i | 1.24335 | + | 1.04330i | ||||
\(330\) | 4836.96 | − | 192.853i | 0.806867 | − | 0.0321703i | ||||
\(331\) | 4960.39 | + | 1805.43i | 0.823709 | + | 0.299805i | 0.719274 | − | 0.694726i | \(-0.244475\pi\) |
0.104434 | + | 0.994532i | \(0.466697\pi\) | |||||||
\(332\) | 1110.34 | + | 1923.16i | 0.183547 | + | 0.317913i | ||||
\(333\) | 1142.40 | − | 1125.24i | 0.187998 | − | 0.185174i | ||||
\(334\) | −3761.83 | + | 6515.68i | −0.616281 | + | 1.06743i | ||||
\(335\) | −8034.30 | + | 6741.58i | −1.31033 | + | 1.09950i | ||||
\(336\) | −2728.59 | − | 12532.1i | −0.443026 | − | 2.03477i | ||||
\(337\) | 1421.64 | − | 8062.50i | 0.229797 | − | 1.30324i | −0.623503 | − | 0.781821i | \(-0.714291\pi\) |
0.853300 | − | 0.521421i | \(-0.174598\pi\) | |||||||
\(338\) | −278.434 | + | 1579.08i | −0.0448072 | + | 0.254114i | ||||
\(339\) | −1194.10 | + | 1085.91i | −0.191312 | + | 0.173978i | ||||
\(340\) | 699.187 | − | 586.687i | 0.111526 | − | 0.0935811i | ||||
\(341\) | −514.229 | + | 890.671i | −0.0816629 | + | 0.141444i | ||||
\(342\) | −4876.12 | + | 2229.00i | −0.770966 | + | 0.352429i | ||||
\(343\) | 5650.51 | + | 9786.97i | 0.889501 | + | 1.54066i | ||||
\(344\) | −6171.14 | − | 2246.11i | −0.967225 | − | 0.352041i | ||||
\(345\) | −3591.19 | + | 6835.35i | −0.560416 | + | 1.06667i | ||||
\(346\) | 6101.22 | + | 5119.53i | 0.947987 | + | 0.795455i | ||||
\(347\) | 9502.39 | − | 3458.59i | 1.47007 | − | 0.535062i | 0.521952 | − | 0.852975i | \(-0.325204\pi\) |
0.948120 | + | 0.317913i | \(0.102982\pi\) | |||||||
\(348\) | 46.9772 | − | 19.2507i | 0.00723633 | − | 0.00296536i | ||||
\(349\) | −621.019 | − | 3521.97i | −0.0952503 | − | 0.540191i | −0.994670 | − | 0.103106i | \(-0.967122\pi\) |
0.899420 | − | 0.437085i | \(-0.143989\pi\) | |||||||
\(350\) | −8268.46 | −1.26276 | ||||||||
\(351\) | −4834.79 | − | 3157.82i | −0.735220 | − | 0.480205i | ||||
\(352\) | −1950.37 | −0.295327 | ||||||||
\(353\) | −84.9764 | − | 481.925i | −0.0128126 | − | 0.0726637i | 0.977731 | − | 0.209862i | \(-0.0673014\pi\) |
−0.990544 | + | 0.137198i | \(0.956190\pi\) | |||||||
\(354\) | −7535.88 | − | 5827.92i | −1.13143 | − | 0.875001i | ||||
\(355\) | 6018.30 | − | 2190.48i | 0.899770 | − | 0.327489i | ||||
\(356\) | 802.104 | + | 673.045i | 0.119414 | + | 0.100200i | ||||
\(357\) | 2621.90 | + | 4150.13i | 0.388700 | + | 0.615261i | ||||
\(358\) | −11798.6 | − | 4294.32i | −1.74182 | − | 0.633972i | ||||
\(359\) | −6453.59 | − | 11177.9i | −0.948768 | − | 1.64331i | −0.748026 | − | 0.663669i | \(-0.768998\pi\) |
−0.200742 | − | 0.979644i | \(-0.564335\pi\) | |||||||
\(360\) | −3090.55 | + | 6498.86i | −0.452462 | + | 0.951444i | ||||
\(361\) | 1490.95 | − | 2582.39i | 0.217371 | − | 0.376497i | ||||
\(362\) | 10519.1 | − | 8826.61i | 1.52728 | − | 1.28154i | ||||
\(363\) | −4532.75 | − | 1448.05i | −0.655393 | − | 0.209374i | ||||
\(364\) | −499.479 | + | 2832.68i | −0.0719225 | + | 0.407893i | ||||
\(365\) | 2033.57 | − | 11532.9i | 0.291621 | − | 1.65387i | ||||
\(366\) | 10638.2 | + | 3398.50i | 1.51930 | + | 0.485362i | ||||
\(367\) | 7475.79 | − | 6272.93i | 1.06330 | − | 0.892219i | 0.0688757 | − | 0.997625i | \(-0.478059\pi\) |
0.994429 | + | 0.105407i | \(0.0336144\pi\) | |||||||
\(368\) | 3972.62 | − | 6880.78i | 0.562737 | − | 0.974689i | ||||
\(369\) | −2214.05 | + | 4655.74i | −0.312355 | + | 0.656824i | ||||
\(370\) | 1357.58 | + | 2351.39i | 0.190749 | + | 0.330387i | ||||
\(371\) | −3886.51 | − | 1414.57i | −0.543875 | − | 0.197954i | ||||
\(372\) | 303.970 | + | 481.145i | 0.0423659 | + | 0.0670597i | ||||
\(373\) | 6223.69 | + | 5222.30i | 0.863943 | + | 0.724934i | 0.962814 | − | 0.270166i | \(-0.0870787\pi\) |
−0.0988711 | + | 0.995100i | \(0.531523\pi\) | |||||||
\(374\) | 1791.55 | − | 652.071i | 0.247698 | − | 0.0901545i | ||||
\(375\) | −2621.24 | − | 2027.15i | −0.360961 | − | 0.279152i | ||||
\(376\) | 971.066 | + | 5507.19i | 0.133189 | + | 0.755350i | ||||
\(377\) | 185.315 | 0.0253162 | ||||||||
\(378\) | 12062.5 | + | 7878.54i | 1.64134 | + | 1.07203i | ||||
\(379\) | −7191.62 | −0.974693 | −0.487347 | − | 0.873209i | \(-0.662035\pi\) | ||||
−0.487347 | + | 0.873209i | \(0.662035\pi\) | |||||||
\(380\) | −336.382 | − | 1907.72i | −0.0454106 | − | 0.257536i | ||||
\(381\) | −59.2059 | + | 24.2619i | −0.00796119 | + | 0.00326239i | ||||
\(382\) | −12012.2 | + | 4372.07i | −1.60889 | + | 0.585588i | ||||
\(383\) | −10052.1 | − | 8434.71i | −1.34109 | − | 1.12531i | −0.981344 | − | 0.192260i | \(-0.938418\pi\) |
−0.359748 | − | 0.933050i | \(-0.617137\pi\) | |||||||
\(384\) | 4224.14 | − | 8040.07i | 0.561359 | − | 1.06847i | ||||
\(385\) | −8839.68 | − | 3217.38i | −1.17016 | − | 0.425903i | ||||
\(386\) | 3357.00 | + | 5814.49i | 0.442660 | + | 0.766709i | ||||
\(387\) | 8673.90 | − | 3965.07i | 1.13933 | − | 0.520816i | ||||
\(388\) | 1434.89 | − | 2485.31i | 0.187747 | − | 0.325187i | ||||
\(389\) | −6136.99 | + | 5149.55i | −0.799892 | + | 0.671189i | −0.948172 | − | 0.317756i | \(-0.897071\pi\) |
0.148280 | + | 0.988945i | \(0.452626\pi\) | |||||||
\(390\) | 7234.06 | − | 6578.62i | 0.939259 | − | 0.854157i | ||||
\(391\) | −528.064 | + | 2994.80i | −0.0683002 | + | 0.387349i | ||||
\(392\) | −2240.36 | + | 12705.7i | −0.288661 | + | 1.63708i | ||||
\(393\) | −1089.50 | − | 5003.94i | −0.139842 | − | 0.642279i | ||||
\(394\) | 2137.61 | − | 1793.67i | 0.273328 | − | 0.229350i | ||||
\(395\) | 573.989 | − | 994.179i | 0.0731153 | − | 0.126639i | ||||
\(396\) | 850.640 | − | 837.862i | 0.107945 | − | 0.106324i | ||||
\(397\) | −1817.69 | − | 3148.34i | −0.229792 | − | 0.398011i | 0.727954 | − | 0.685626i | \(-0.240471\pi\) |
−0.957746 | + | 0.287614i | \(0.907138\pi\) | |||||||
\(398\) | 2863.45 | + | 1042.21i | 0.360632 | + | 0.131259i | ||||
\(399\) | 10410.4 | − | 415.070i | 1.30620 | − | 0.0520789i | ||||
\(400\) | −4727.79 | − | 3967.09i | −0.590974 | − | 0.495886i | ||||
\(401\) | 11370.4 | − | 4138.47i | 1.41598 | − | 0.515375i | 0.483103 | − | 0.875564i | \(-0.339510\pi\) |
0.932880 | + | 0.360188i | \(0.117288\pi\) | |||||||
\(402\) | −1627.86 | + | 12013.4i | −0.201966 | + | 1.49048i | ||||
\(403\) | 360.737 | + | 2045.84i | 0.0445895 | + | 0.252880i | ||||
\(404\) | 1104.49 | 0.136015 | ||||||||
\(405\) | −3425.35 | − | 9873.53i | −0.420265 | − | 1.21141i | ||||
\(406\) | −462.348 | −0.0565171 | ||||||||
\(407\) | 210.149 | + | 1191.82i | 0.0255939 | + | 0.145150i | ||||
\(408\) | −380.570 | + | 2808.56i | −0.0461790 | + | 0.340795i | ||||
\(409\) | −5572.83 | + | 2028.34i | −0.673737 | + | 0.245220i | −0.656156 | − | 0.754625i | \(-0.727819\pi\) |
−0.0175811 | + | 0.999845i | \(0.505597\pi\) | |||||||
\(410\) | −6687.09 | − | 5611.14i | −0.805493 | − | 0.675888i | ||||
\(411\) | −3375.23 | + | 134.573i | −0.405080 | + | 0.0161508i | ||||
\(412\) | 2673.23 | + | 972.976i | 0.319661 | + | 0.116347i | ||||
\(413\) | 9256.27 | + | 16032.3i | 1.10284 | + | 1.91017i | ||||
\(414\) | 2244.68 | + | 8638.22i | 0.266474 | + | 1.02547i | ||||
\(415\) | −7334.87 | + | 12704.4i | −0.867601 | + | 1.50273i | ||||
\(416\) | −3017.90 | + | 2532.31i | −0.355684 | + | 0.298454i | ||||
\(417\) | 3149.82 | + | 14466.7i | 0.369898 | + | 1.69890i | ||||
\(418\) | 702.647 | − | 3984.91i | 0.0822191 | − | 0.466288i | ||||
\(419\) | −185.116 | + | 1049.85i | −0.0215836 | + | 0.122407i | −0.993696 | − | 0.112109i | \(-0.964239\pi\) |
0.972112 | + | 0.234516i | \(0.0753505\pi\) | |||||||
\(420\) | −3851.23 | + | 3502.29i | −0.447430 | + | 0.406891i | ||||
\(421\) | −458.729 | + | 384.919i | −0.0531047 | + | 0.0445601i | −0.668954 | − | 0.743304i | \(-0.733258\pi\) |
0.615849 | + | 0.787864i | \(0.288813\pi\) | |||||||
\(422\) | 1751.61 | − | 3033.88i | 0.202055 | − | 0.349969i | ||||
\(423\) | −6617.06 | − | 4708.34i | −0.760597 | − | 0.541199i | ||||
\(424\) | −1193.96 | − | 2067.99i | −0.136754 | − | 0.236864i | ||||
\(425\) | 2219.73 | + | 807.915i | 0.253347 | + | 0.0922109i | ||||
\(426\) | 3443.17 | − | 6553.60i | 0.391601 | − | 0.745359i | ||||
\(427\) | −16624.7 | − | 13949.8i | −1.88414 | − | 1.58098i | ||||
\(428\) | −2338.05 | + | 850.980i | −0.264051 | + | 0.0961067i | ||||
\(429\) | 4032.80 | − | 1652.59i | 0.453859 | − | 0.185986i | ||||
\(430\) | 2804.23 | + | 15903.6i | 0.314493 | + | 1.78358i | ||||
\(431\) | −5699.28 | −0.636948 | −0.318474 | − | 0.947932i | \(-0.603170\pi\) | ||||
−0.318474 | + | 0.947932i | \(0.603170\pi\) | |||||||
\(432\) | 3117.14 | + | 10292.2i | 0.347161 | + | 1.14626i | ||||
\(433\) | 14318.4 | 1.58914 | 0.794570 | − | 0.607173i | \(-0.207696\pi\) | ||||
0.794570 | + | 0.607173i | \(0.207696\pi\) | |||||||
\(434\) | −900.012 | − | 5104.22i | −0.0995437 | − | 0.564540i | ||||
\(435\) | 265.297 | + | 205.169i | 0.0292415 | + | 0.0226141i | ||||
\(436\) | −663.955 | + | 241.660i | −0.0729305 | + | 0.0265445i | ||||
\(437\) | 4944.18 | + | 4148.66i | 0.541218 | + | 0.454135i | ||||
\(438\) | −7229.97 | − | 11444.1i | −0.788724 | − | 1.24845i | ||||
\(439\) | 1698.24 | + | 618.110i | 0.184630 | + | 0.0671999i | 0.432681 | − | 0.901547i | \(-0.357568\pi\) |
−0.248051 | + | 0.968747i | \(0.579790\pi\) | |||||||
\(440\) | −2715.59 | − | 4703.55i | −0.294229 | − | 0.509620i | ||||
\(441\) | −10630.4 | − | 15428.9i | −1.14786 | − | 1.66601i | ||||
\(442\) | 1925.52 | − | 3335.09i | 0.207211 | − | 0.358901i | ||||
\(443\) | 7184.35 | − | 6028.38i | 0.770516 | − | 0.646540i | −0.170325 | − | 0.985388i | \(-0.554482\pi\) |
0.940841 | + | 0.338848i | \(0.110037\pi\) | |||||||
\(444\) | 637.931 | + | 203.796i | 0.0681867 | + | 0.0217832i | ||||
\(445\) | −1201.11 | + | 6811.85i | −0.127951 | + | 0.725647i | ||||
\(446\) | 112.327 | − | 637.037i | 0.0119256 | − | 0.0676336i | ||||
\(447\) | 2231.28 | + | 712.812i | 0.236098 | + | 0.0754248i | ||||
\(448\) | −7597.23 | + | 6374.83i | −0.801195 | + | 0.672282i | ||||
\(449\) | 82.8471 | − | 143.495i | 0.00870779 | − | 0.0150823i | −0.861639 | − | 0.507522i | \(-0.830562\pi\) |
0.870346 | + | 0.492440i | \(0.163895\pi\) | |||||||
\(450\) | 6910.82 | − | 551.954i | 0.723954 | − | 0.0578208i | ||||
\(451\) | −1945.43 | − | 3369.59i | −0.203120 | − | 0.351813i | ||||
\(452\) | −633.433 | − | 230.551i | −0.0659163 | − | 0.0239916i | ||||
\(453\) | 1007.59 | + | 1594.89i | 0.104505 | + | 0.165418i | ||||
\(454\) | 7291.21 | + | 6118.05i | 0.753730 | + | 0.632455i | ||||
\(455\) | −17855.4 | + | 6498.84i | −1.83973 | + | 0.669605i | ||||
\(456\) | 4758.38 | + | 3679.92i | 0.488665 | + | 0.377912i | ||||
\(457\) | −1225.72 | − | 6951.39i | −0.125463 | − | 0.711537i | −0.981032 | − | 0.193847i | \(-0.937903\pi\) |
0.855569 | − | 0.517689i | \(-0.173208\pi\) | |||||||
\(458\) | −3643.18 | −0.371692 | ||||||||
\(459\) | −2468.44 | − | 3293.68i | −0.251017 | − | 0.334936i | ||||
\(460\) | −3224.74 | −0.326857 | ||||||||
\(461\) | 924.402 | + | 5242.54i | 0.0933919 | + | 0.529652i | 0.995228 | + | 0.0975741i | \(0.0311083\pi\) |
−0.901836 | + | 0.432078i | \(0.857781\pi\) | |||||||
\(462\) | −10061.6 | + | 4123.10i | −1.01322 | + | 0.415203i | ||||
\(463\) | 8793.05 | − | 3200.41i | 0.882609 | − | 0.321243i | 0.139347 | − | 0.990244i | \(-0.455500\pi\) |
0.743262 | + | 0.669000i | \(0.233278\pi\) | |||||||
\(464\) | −264.364 | − | 221.828i | −0.0264500 | − | 0.0221942i | ||||
\(465\) | −1748.60 | + | 3328.22i | −0.174385 | + | 0.331919i | ||||
\(466\) | 12335.7 | + | 4489.84i | 1.22627 | + | 0.446326i | ||||
\(467\) | −917.123 | − | 1588.50i | −0.0908767 | − | 0.157403i | 0.817004 | − | 0.576633i | \(-0.195634\pi\) |
−0.907880 | + | 0.419230i | \(0.862300\pi\) | |||||||
\(468\) | 228.373 | − | 2400.92i | 0.0225568 | − | 0.237142i | ||||
\(469\) | 11779.3 | − | 20402.3i | 1.15974 | − | 2.00872i | ||||
\(470\) | 10534.1 | − | 8839.15i | 1.03383 | − | 0.867488i | ||||
\(471\) | −8486.08 | + | 7717.19i | −0.830187 | + | 0.754967i | ||||
\(472\) | −1856.01 | + | 10526.0i | −0.180995 | + | 1.02648i | ||||
\(473\) | −1249.91 | + | 7088.57i | −0.121503 | + | 0.689075i | ||||
\(474\) | −282.302 | − | 1296.58i | −0.0273556 | − | 0.125641i | ||||
\(475\) | 3840.53 | − | 3222.59i | 0.370980 | − | 0.311289i | ||||
\(476\) | −1025.09 | + | 1775.52i | −0.0987083 | + | 0.170968i | ||||
\(477\) | 3342.79 | + | 922.867i | 0.320872 | + | 0.0885853i | ||||
\(478\) | −9798.69 | − | 16971.8i | −0.937619 | − | 1.62400i | ||||
\(479\) | 11229.0 | + | 4087.03i | 1.07112 | + | 0.389856i | 0.816596 | − | 0.577210i | \(-0.195859\pi\) |
0.254525 | + | 0.967066i | \(0.418081\pi\) | |||||||
\(480\) | −7124.05 | + | 284.040i | −0.677431 | + | 0.0270096i | ||||
\(481\) | 1872.60 | + | 1571.30i | 0.177512 | + | 0.148950i | ||||
\(482\) | −14527.0 | + | 5287.39i | −1.37279 | + | 0.499656i | ||||
\(483\) | 2328.88 | − | 17186.8i | 0.219394 | − | 1.61910i | ||||
\(484\) | −345.094 | − | 1957.13i | −0.0324093 | − | 0.183802i | ||||
\(485\) | 18957.8 | 1.77490 | ||||||||
\(486\) | −10607.8 | − | 5779.71i | −0.990081 | − | 0.539450i | ||||
\(487\) | −2241.16 | −0.208536 | −0.104268 | − | 0.994549i | \(-0.533250\pi\) | ||||
−0.104268 | + | 0.994549i | \(0.533250\pi\) | |||||||
\(488\) | −2175.78 | − | 12339.5i | −0.201830 | − | 1.14463i | ||||
\(489\) | 45.2773 | − | 334.141i | 0.00418714 | − | 0.0309005i | ||||
\(490\) | 29812.4 | − | 10850.8i | 2.74855 | − | 1.00039i | ||||
\(491\) | 14180.0 | + | 11898.5i | 1.30333 | + | 1.09363i | 0.989559 | + | 0.144129i | \(0.0460380\pi\) |
0.313774 | + | 0.949498i | \(0.398406\pi\) | |||||||
\(492\) | −2151.39 | + | 85.7773i | −0.197139 | + | 0.00786004i | ||||
\(493\) | 124.121 | + | 45.1762i | 0.0113390 | + | 0.00412704i | ||||
\(494\) | −4086.68 | − | 7078.33i | −0.372203 | − | 0.644675i | ||||
\(495\) | 7603.02 | + | 2099.02i | 0.690364 | + | 0.190593i | ||||
\(496\) | 1934.32 | − | 3350.34i | 0.175108 | − | 0.303296i | ||||
\(497\) | −11020.4 | + | 9247.20i | −0.994632 | + | 0.834595i | ||||
\(498\) | 3607.46 | + | 16568.6i | 0.324607 | + | 1.49088i | ||||
\(499\) | 2338.70 | − | 13263.4i | 0.209809 | − | 1.18988i | −0.679882 | − | 0.733321i | \(-0.737969\pi\) |
0.889691 | − | 0.456563i | \(-0.150920\pi\) | |||||||
\(500\) | 240.315 | − | 1362.89i | 0.0214944 | − | 0.121901i | ||||
\(501\) | −9069.40 | + | 8247.66i | −0.808764 | + | 0.735485i | ||||
\(502\) | −5343.39 | + | 4483.64i | −0.475074 | + | 0.398635i | ||||
\(503\) | 4772.18 | − | 8265.65i | 0.423023 | − | 0.732698i | −0.573210 | − | 0.819408i | \(-0.694302\pi\) |
0.996234 | + | 0.0867103i | \(0.0276354\pi\) | |||||||
\(504\) | 1530.65 | − | 16091.9i | 0.135279 | − | 1.42221i | ||||
\(505\) | 3648.11 | + | 6318.71i | 0.321463 | + | 0.556790i | ||||
\(506\) | −6329.72 | − | 2303.83i | −0.556108 | − | 0.202407i | ||||
\(507\) | −1215.12 | + | 2312.81i | −0.106441 | + | 0.202595i | ||||
\(508\) | −20.4706 | − | 17.1769i | −0.00178787 | − | 0.00150020i | ||||
\(509\) | −8149.65 | + | 2966.23i | −0.709679 | + | 0.258302i | −0.671538 | − | 0.740970i | \(-0.734366\pi\) |
−0.0381413 | + | 0.999272i | \(0.512144\pi\) | |||||||
\(510\) | 6448.98 | − | 2642.71i | 0.559933 | − | 0.229453i | ||||
\(511\) | 4567.86 | + | 25905.6i | 0.395441 | + | 2.24266i | ||||
\(512\) | −4064.26 | −0.350814 | ||||||||
\(513\) | −8673.39 | + | 1041.86i | −0.746471 | + | 0.0896670i | ||||
\(514\) | 2583.71 | 0.221717 | ||||||||
\(515\) | 3263.31 | + | 18507.1i | 0.279220 | + | 1.58354i | ||||
\(516\) | 3150.84 | + | 2436.72i | 0.268814 | + | 0.207889i | ||||
\(517\) | 5759.59 | − | 2096.32i | 0.489955 | − | 0.178329i | ||||
\(518\) | −4672.01 | − | 3920.28i | −0.396286 | − | 0.332524i | ||||
\(519\) | 6931.18 | + | 10971.2i | 0.586214 | + | 0.927901i | ||||
\(520\) | −10308.9 | − | 3752.15i | −0.869379 | − | 0.316428i | ||||
\(521\) | −7793.09 | − | 13498.0i | −0.655320 | − | 1.13505i | −0.981814 | − | 0.189848i | \(-0.939201\pi\) |
0.326494 | − | 0.945199i | \(-0.394133\pi\) | |||||||
\(522\) | 386.432 | − | 30.8636i | 0.0324017 | − | 0.00258786i | ||||
\(523\) | −6350.65 | + | 10999.7i | −0.530965 | + | 0.919658i | 0.468382 | + | 0.883526i | \(0.344837\pi\) |
−0.999347 | + | 0.0361324i | \(0.988496\pi\) | |||||||
\(524\) | 1638.43 | − | 1374.80i | 0.136594 | − | 0.114616i | ||||
\(525\) | −12833.4 | − | 4099.80i | −1.06685 | − | 0.340819i | ||||
\(526\) | −1616.97 | + | 9170.29i | −0.134036 | + | 0.760159i | ||||
\(527\) | −257.121 | + | 1458.21i | −0.0212531 | + | 0.120532i | ||||
\(528\) | −7731.26 | − | 2469.86i | −0.637235 | − | 0.203573i | ||||
\(529\) | −1089.96 | + | 914.588i | −0.0895836 | + | 0.0751696i | ||||
\(530\) | −2935.97 | + | 5085.26i | −0.240624 | + | 0.416772i | ||||
\(531\) | −8806.67 | − | 12782.0i | −0.719730 | − | 1.04462i | ||||
\(532\) | 2175.64 | + | 3768.32i | 0.177305 | + | 0.307101i | ||||
\(533\) | −7385.26 | − | 2688.02i | −0.600171 | − | 0.218444i | ||||
\(534\) | 4270.34 | + | 6759.39i | 0.346059 | + | 0.547767i | ||||
\(535\) | −12591.0 | − | 10565.1i | −1.01749 | − | 0.853772i | ||||
\(536\) | 12781.4 | − | 4652.06i | 1.02999 | − | 0.374885i | ||||
\(537\) | −16183.1 | − | 12515.3i | −1.30047 | − | 1.00573i | ||||
\(538\) | −3332.42 | − | 18899.1i | −0.267046 | − | 1.51449i | ||||
\(539\) | 14140.8 | 1.13003 | ||||||||
\(540\) | 2985.09 | − | 3184.32i | 0.237885 | − | 0.253761i | ||||
\(541\) | −15915.4 | −1.26480 | −0.632399 | − | 0.774643i | \(-0.717930\pi\) | ||||
−0.632399 | + | 0.774643i | \(0.717930\pi\) | |||||||
\(542\) | 1134.48 | + | 6433.96i | 0.0899079 | + | 0.509893i | ||||
\(543\) | 20703.2 | − | 8483.92i | 1.63621 | − | 0.670497i | ||||
\(544\) | −2638.66 | + | 960.393i | −0.207962 | + | 0.0756922i | ||||
\(545\) | −3575.56 | − | 3000.25i | −0.281028 | − | 0.235810i | ||||
\(546\) | −10215.4 | + | 19443.6i | −0.800691 | + | 1.52401i | ||||
\(547\) | 4290.07 | + | 1561.46i | 0.335339 | + | 0.122053i | 0.504201 | − | 0.863586i | \(-0.331787\pi\) |
−0.168862 | + | 0.985640i | \(0.554009\pi\) | |||||||
\(548\) | −705.379 | − | 1221.75i | −0.0549859 | − | 0.0952384i | ||||
\(549\) | 14826.3 | + | 10549.6i | 1.15258 | + | 0.820117i | ||||
\(550\) | −2616.17 | + | 4531.34i | −0.202825 | + | 0.351304i | ||||
\(551\) | 214.751 | − | 180.198i | 0.0166038 | − | 0.0139323i | ||||
\(552\) | 7408.34 | − | 6737.11i | 0.571232 | − | 0.519475i | ||||
\(553\) | −447.774 | + | 2539.45i | −0.0344327 | + | 0.195278i | ||||
\(554\) | −2318.77 | + | 13150.4i | −0.177825 | + | 1.00850i | ||||
\(555\) | 941.176 | + | 4322.71i | 0.0719832 | + | 0.330610i | ||||
\(556\) | −4736.81 | + | 3974.66i | −0.361305 | + | 0.303171i | ||||
\(557\) | −7631.87 | + | 13218.8i | −0.580562 | + | 1.00556i | 0.414851 | + | 0.909889i | \(0.363834\pi\) |
−0.995413 | + | 0.0956732i | \(0.969500\pi\) | |||||||
\(558\) | 1092.96 | + | 4206.06i | 0.0829190 | + | 0.319098i | ||||
\(559\) | 7269.60 | + | 12591.3i | 0.550038 | + | 0.952694i | ||||
\(560\) | 33251.2 | + | 12102.5i | 2.50915 | + | 0.913254i | ||||
\(561\) | 3103.97 | − | 123.757i | 0.233600 | − | 0.00931377i | ||||
\(562\) | −269.381 | − | 226.037i | −0.0202191 | − | 0.0169658i | ||||
\(563\) | −18106.8 | + | 6590.34i | −1.35544 | + | 0.493339i | −0.914641 | − | 0.404268i | \(-0.867526\pi\) |
−0.440797 | + | 0.897607i | \(0.645304\pi\) | |||||||
\(564\) | 455.433 | − | 3361.04i | 0.0340021 | − | 0.250931i | ||||
\(565\) | −773.254 | − | 4385.34i | −0.0575771 | − | 0.326536i | ||||
\(566\) | 9912.26 | 0.736119 | ||||||||
\(567\) | 14815.5 | + | 18209.2i | 1.09734 | + | 1.34870i | ||||
\(568\) | −8305.91 | −0.613571 | ||||||||
\(569\) | −738.639 | − | 4189.03i | −0.0544206 | − | 0.308635i | 0.945432 | − | 0.325820i | \(-0.105640\pi\) |
−0.999852 | + | 0.0171857i | \(0.994529\pi\) | |||||||
\(570\) | 1986.20 | − | 14657.9i | 0.145952 | − | 1.07711i | ||||
\(571\) | 3973.16 | − | 1446.11i | 0.291194 | − | 0.105986i | −0.192293 | − | 0.981338i | \(-0.561592\pi\) |
0.483487 | + | 0.875352i | \(0.339370\pi\) | |||||||
\(572\) | 1394.35 | + | 1170.00i | 0.101924 | + | 0.0855248i | ||||
\(573\) | −20811.8 | + | 829.778i | −1.51732 | + | 0.0604965i | ||||
\(574\) | 18425.7 | + | 6706.41i | 1.33985 | + | 0.487666i | ||||
\(575\) | −4172.91 | − | 7227.70i | −0.302648 | − | 0.524202i | ||||
\(576\) | 5924.25 | − | 5835.26i | 0.428548 | − | 0.422111i | ||||
\(577\) | 1201.69 | − | 2081.38i | 0.0867016 | − | 0.150172i | −0.819413 | − | 0.573203i | \(-0.805701\pi\) |
0.906115 | + | 0.423031i | \(0.139034\pi\) | |||||||
\(578\) | −9899.58 | + | 8306.74i | −0.712402 | + | 0.597776i | ||||
\(579\) | 2327.32 | + | 10689.1i | 0.167047 | + | 0.767228i | ||||
\(580\) | −24.3224 | + | 137.939i | −0.00174126 | + | 0.00987519i | ||||
\(581\) | 5721.99 | − | 32451.0i | 0.408586 | − | 2.31720i | ||||
\(582\) | 16212.1 | − | 14743.2i | 1.15466 | − | 1.05005i | ||||
\(583\) | −2004.93 | + | 1682.34i | −0.142428 | + | 0.119512i | ||||
\(584\) | −7593.77 | + | 13152.8i | −0.538069 | + | 0.931963i | ||||
\(585\) | 14489.8 | − | 6623.69i | 1.02407 | − | 0.468130i | ||||
\(586\) | −15482.3 | − | 26816.2i | −1.09141 | − | 1.89039i | ||||
\(587\) | 2410.61 | + | 877.389i | 0.169500 | + | 0.0616929i | 0.425376 | − | 0.905017i | \(-0.360142\pi\) |
−0.255876 | + | 0.966710i | \(0.582364\pi\) | |||||||
\(588\) | 3639.49 | − | 6927.27i | 0.255255 | − | 0.485843i | ||||
\(589\) | 2407.38 | + | 2020.03i | 0.168412 | + | 0.141314i | ||||
\(590\) | 24697.9 | − | 8989.31i | 1.72338 | − | 0.627261i | ||||
\(591\) | 4207.13 | − | 1724.03i | 0.292823 | − | 0.119995i | ||||
\(592\) | −790.496 | − | 4483.13i | −0.0548804 | − | 0.311242i | ||||
\(593\) | −11554.0 | −0.800112 | −0.400056 | − | 0.916491i | \(-0.631009\pi\) | ||||
−0.400056 | + | 0.916491i | \(0.631009\pi\) | |||||||
\(594\) | 8134.26 | − | 4117.76i | 0.561874 | − | 0.284434i | ||||
\(595\) | −13543.5 | −0.933160 | ||||||||
\(596\) | 169.875 | + | 963.410i | 0.0116751 | + | 0.0662127i | ||||
\(597\) | 3927.56 | + | 3037.40i | 0.269253 | + | 0.208229i | ||||
\(598\) | −12785.5 | + | 4653.55i | −0.874312 | + | 0.318224i | ||||
\(599\) | −11775.6 | − | 9880.93i | −0.803237 | − | 0.673996i | 0.145746 | − | 0.989322i | \(-0.453442\pi\) |
−0.948983 | + | 0.315326i | \(0.897886\pi\) | |||||||
\(600\) | −4154.45 | − | 6575.96i | −0.282675 | − | 0.447437i | ||||
\(601\) | −19439.9 | − | 7075.54i | −1.31942 | − | 0.480228i | −0.416145 | − | 0.909298i | \(-0.636619\pi\) |
−0.903271 | + | 0.429070i | \(0.858841\pi\) | |||||||
\(602\) | −18137.1 | − | 31414.4i | −1.22793 | − | 2.12684i | ||||
\(603\) | −8483.25 | + | 17838.7i | −0.572910 | + | 1.20472i | ||||
\(604\) | −393.943 | + | 682.329i | −0.0265386 | + | 0.0459662i | ||||
\(605\) | 10056.8 | − | 8438.64i | 0.675812 | − | 0.567073i | ||||
\(606\) | 8033.74 | + | 2566.49i | 0.538529 | + | 0.172040i | ||||
\(607\) | −2894.83 | + | 16417.4i | −0.193571 | + | 1.09779i | 0.720868 | + | 0.693072i | \(0.243743\pi\) |
−0.914439 | + | 0.404723i | \(0.867368\pi\) | |||||||
\(608\) | −1034.88 | + | 5869.11i | −0.0690297 | + | 0.391487i | ||||
\(609\) | −717.605 | − | 229.249i | −0.0477484 | − | 0.0152539i | ||||
\(610\) | −23602.8 | + | 19805.1i | −1.56664 | + | 1.31457i | ||||
\(611\) | 6190.27 | − | 10721.9i | 0.409872 | − | 0.709919i | ||||
\(612\) | 738.256 | − | 1552.42i | 0.0487618 | − | 0.102537i | ||||
\(613\) | 2046.39 | + | 3544.45i | 0.134833 | + | 0.233538i | 0.925534 | − | 0.378665i | \(-0.123617\pi\) |
−0.790700 | + | 0.612203i | \(0.790283\pi\) | |||||||
\(614\) | −11539.2 | − | 4199.94i | −0.758446 | − | 0.276052i | ||||
\(615\) | −7596.76 | − | 12024.7i | −0.498099 | − | 0.788426i | ||||
\(616\) | 9345.52 | + | 7841.82i | 0.611269 | + | 0.512916i | ||||
\(617\) | 20423.4 | − | 7433.51i | 1.33260 | − | 0.485027i | 0.425127 | − | 0.905134i | \(-0.360229\pi\) |
0.907475 | + | 0.420106i | \(0.138007\pi\) | |||||||
\(618\) | 17183.5 | + | 13288.9i | 1.11848 | + | 0.864983i | ||||
\(619\) | −1735.43 | − | 9842.11i | −0.112686 | − | 0.639075i | −0.987870 | − | 0.155284i | \(-0.950371\pi\) |
0.875184 | − | 0.483791i | \(-0.160740\pi\) | |||||||
\(620\) | −1570.17 | −0.101709 | ||||||||
\(621\) | −799.195 | + | 14520.3i | −0.0516435 | + | 0.938291i | ||||
\(622\) | 21687.3 | 1.39804 | ||||||||
\(623\) | −2697.98 | − | 15301.0i | −0.173503 | − | 0.983984i | ||||
\(624\) | −15169.8 | + | 6216.38i | −0.973199 | + | 0.398805i | ||||
\(625\) | 18048.4 | − | 6569.07i | 1.15510 | − | 0.420420i | ||||
\(626\) | −8115.18 | − | 6809.45i | −0.518128 | − | 0.434761i | ||||
\(627\) | 3066.43 | − | 5836.53i | 0.195313 | − | 0.371752i | ||||
\(628\) | −4501.59 | − | 1638.44i | −0.286040 | − | 0.104110i | ||||
\(629\) | 871.182 | + | 1508.93i | 0.0552247 | + | 0.0956519i | ||||
\(630\) | −36151.1 | + | 16525.6i | −2.28618 | + | 1.04507i | ||||
\(631\) | 1084.24 | − | 1877.97i | 0.0684043 | − | 0.118480i | −0.829795 | − | 0.558069i | \(-0.811543\pi\) |
0.898199 | + | 0.439589i | \(0.144876\pi\) | |||||||
\(632\) | −1140.48 | + | 956.975i | −0.0717813 | + | 0.0602316i | ||||
\(633\) | 4222.96 | − | 3840.34i | 0.265162 | − | 0.241137i | ||||
\(634\) | 1207.61 | − | 6848.72i | 0.0756475 | − | 0.429018i | ||||
\(635\) | 30.6538 | − | 173.846i | 0.00191568 | − | 0.0108644i | ||||
\(636\) | 308.121 | + | 1415.16i | 0.0192103 | + | 0.0882308i | ||||
\(637\) | 21880.8 | − | 18360.1i | 1.36098 | − | 1.14200i | ||||
\(638\) | −146.288 | + | 253.379i | −0.00907777 | + | 0.0157232i | ||||
\(639\) | 8593.61 | − | 8464.52i | 0.532015 | − | 0.524024i | ||||
\(640\) | 12528.6 | + | 21700.1i | 0.773805 | + | 1.34027i | ||||
\(641\) | −14042.1 | − | 5110.89i | −0.865254 | − | 0.314927i | −0.129011 | − | 0.991643i | \(-0.541180\pi\) |
−0.736244 | + | 0.676716i | \(0.763402\pi\) | |||||||
\(642\) | −18983.8 | + | 756.894i | −1.16702 | + | 0.0465299i | ||||
\(643\) | 14505.7 | + | 12171.8i | 0.889658 | + | 0.746512i | 0.968142 | − | 0.250404i | \(-0.0805634\pi\) |
−0.0784835 | + | 0.996915i | \(0.525008\pi\) | |||||||
\(644\) | 6806.68 | − | 2477.43i | 0.416492 | − | 0.151591i | ||||
\(645\) | −3533.16 | + | 26074.2i | −0.215687 | + | 1.59174i | ||||
\(646\) | −1011.62 | − | 5737.19i | −0.0616125 | − | 0.349422i | ||||
\(647\) | −10983.5 | −0.667400 | −0.333700 | − | 0.942679i | \(-0.608297\pi\) | ||||
−0.333700 | + | 0.942679i | \(0.608297\pi\) | |||||||
\(648\) | −205.124 | + | 13551.9i | −0.0124352 | + | 0.821556i | ||||
\(649\) | 11714.9 | 0.708550 | ||||||||
\(650\) | 1835.27 | + | 10408.3i | 0.110747 | + | 0.628075i | ||||
\(651\) | 1133.96 | − | 8368.47i | 0.0682694 | − | 0.503819i | ||||
\(652\) | 132.334 | − | 48.1655i | 0.00794875 | − | 0.00289311i | ||||
\(653\) | 22030.2 | + | 18485.5i | 1.32023 | + | 1.10780i | 0.986257 | + | 0.165218i | \(0.0528329\pi\) |
0.333970 | + | 0.942584i | \(0.391612\pi\) | |||||||
\(654\) | −5390.98 | + | 214.941i | −0.322330 | + | 0.0128515i | ||||
\(655\) | 13276.9 | + | 4832.40i | 0.792017 | + | 0.288271i | ||||
\(656\) | 7317.93 | + | 12675.0i | 0.435544 | + | 0.754385i | ||||
\(657\) | −5547.16 | − | 21347.1i | −0.329399 | − | 1.26763i | ||||
\(658\) | −15444.3 | + | 26750.3i | −0.915016 | + | 1.58485i | ||||
\(659\) | 12412.7 | − | 10415.5i | 0.733736 | − | 0.615677i | −0.197412 | − | 0.980321i | \(-0.563254\pi\) |
0.931147 | + | 0.364643i | \(0.118809\pi\) | |||||||
\(660\) | 700.805 | + | 3218.72i | 0.0413315 | + | 0.189831i | ||||
\(661\) | −152.498 | + | 864.862i | −0.00897353 | + | 0.0508914i | −0.988966 | − | 0.148144i | \(-0.952670\pi\) |
0.979992 | + | 0.199036i | \(0.0637810\pi\) | |||||||
\(662\) | −2923.23 | + | 16578.5i | −0.171623 | + | 0.973324i | ||||
\(663\) | 4642.23 | − | 4221.62i | 0.271929 | − | 0.247291i | ||||
\(664\) | 14573.9 | − | 12228.9i | 0.851772 | − | 0.714721i | ||||
\(665\) | −14372.3 | + | 24893.5i | −0.838094 | + | 1.45162i | ||||
\(666\) | 4166.58 | + | 2964.71i | 0.242420 | + | 0.172493i | ||||
\(667\) | −233.337 | − | 404.151i | −0.0135455 | − | 0.0234615i | ||||
\(668\) | −4811.02 | − | 1751.07i | −0.278659 | − | 0.101423i | ||||
\(669\) | 490.207 | − | 933.042i | 0.0283296 | − | 0.0539215i | ||||
\(670\) | −25621.9 | − | 21499.3i | −1.47740 | − | 1.23969i | ||||
\(671\) | −12905.0 | + | 4697.04i | −0.742463 | + | 0.270234i | ||||
\(672\) | 14819.0 | − | 6072.65i | 0.850678 | − | 0.348597i | ||||
\(673\) | 359.580 | + | 2039.28i | 0.0205955 | + | 0.116803i | 0.993372 | − | 0.114941i | \(-0.0366679\pi\) |
−0.972777 | + | 0.231744i | \(0.925557\pi\) | |||||||
\(674\) | 26108.5 | 1.49208 | ||||||||
\(675\) | 10999.9 | + | 2569.95i | 0.627238 | + | 0.146544i | ||||
\(676\) | −1091.13 | −0.0620805 | ||||||||
\(677\) | −1246.66 | − | 7070.17i | −0.0707727 | − | 0.401372i | −0.999529 | − | 0.0306815i | \(-0.990232\pi\) |
0.928757 | − | 0.370690i | \(-0.120879\pi\) | |||||||
\(678\) | −4071.69 | − | 3148.87i | −0.230638 | − | 0.178365i | ||||
\(679\) | −40015.5 | + | 14564.4i | −2.26164 | + | 0.823170i | ||||
\(680\) | −5990.04 | − | 5026.24i | −0.337805 | − | 0.283452i | ||||
\(681\) | 8283.06 | + | 13111.0i | 0.466090 | + | 0.737760i | ||||
\(682\) | −3082.02 | − | 1121.76i | −0.173045 | − | 0.0629832i | ||||
\(683\) | 6300.70 | + | 10913.1i | 0.352986 | + | 0.611390i | 0.986771 | − | 0.162119i | \(-0.0518330\pi\) |
−0.633785 | + | 0.773509i | \(0.718500\pi\) | |||||||
\(684\) | −2069.96 | − | 3004.35i | −0.115712 | − | 0.167945i | ||||
\(685\) | 4659.72 | − | 8070.87i | 0.259911 | − | 0.450178i | ||||
\(686\) | −27608.0 | + | 23165.8i | −1.53656 | + | 1.28932i | ||||
\(687\) | −5654.54 | − | 1806.42i | −0.314024 | − | 0.100319i | ||||
\(688\) | 4701.63 | − | 26664.3i | 0.260535 | − | 1.47757i | ||||
\(689\) | −918.014 | + | 5206.32i | −0.0507599 | + | 0.287873i | ||||
\(690\) | −23455.9 | − | 7493.31i | −1.29413 | − | 0.413428i | ||||
\(691\) | 2525.98 | − | 2119.55i | 0.139064 | − | 0.116688i | −0.570602 | − | 0.821226i | \(-0.693290\pi\) |
0.709666 | + | 0.704538i | \(0.248846\pi\) | |||||||
\(692\) | −2709.91 | + | 4693.70i | −0.148866 | + | 0.257844i | ||||
\(693\) | −17660.8 | + | 1410.54i | −0.968079 | + | 0.0773186i | ||||
\(694\) | 16124.3 | + | 27928.1i | 0.881944 | + | 1.52757i | ||||
\(695\) | −38384.4 | − | 13970.8i | −2.09497 | − | 0.762507i | ||||
\(696\) | −232.305 | − | 367.708i | −0.0126516 | − | 0.0200258i | ||||
\(697\) | −4291.23 | − | 3600.77i | −0.233202 | − | 0.195680i | ||||
\(698\) | 10717.3 | − | 3900.76i | 0.581166 | − | 0.211527i | ||||
\(699\) | 16919.9 | + | 13085.1i | 0.915552 | + | 0.708047i | ||||
\(700\) | −977.051 | − | 5541.13i | −0.0527558 | − | 0.299193i | ||||
\(701\) | 29161.3 | 1.57119 | 0.785596 | − | 0.618739i | \(-0.212356\pi\) | ||||
0.785596 | + | 0.618739i | \(0.212356\pi\) | |||||||
\(702\) | 7240.12 | − | 16932.9i | 0.389260 | − | 0.910389i | ||||
\(703\) | 3697.96 | 0.198394 | ||||||||
\(704\) | 1089.79 | + | 6180.51i | 0.0583424 | + | 0.330876i | ||||
\(705\) | 20732.6 | − | 8495.96i | 1.10757 | − | 0.453867i | ||||
\(706\) | 1466.48 | − | 533.756i | 0.0781754 | − | 0.0284535i | ||||
\(707\) | −12554.7 | − | 10534.6i | −0.667848 | − | 0.560391i | ||||
\(708\) | 3015.11 | − | 5738.86i | 0.160049 | − | 0.304632i | ||||
\(709\) | −30356.3 | − | 11048.8i | −1.60798 | − | 0.585256i | −0.626939 | − | 0.779068i | \(-0.715693\pi\) |
−0.981039 | + | 0.193812i | \(0.937915\pi\) | |||||||
\(710\) | 10212.2 | + | 17688.1i | 0.539801 | + | 0.934963i | ||||
\(711\) | 204.733 | − | 2152.38i | 0.0107990 | − | 0.113531i | ||||
\(712\) | 4485.21 | − | 7768.61i | 0.236082 | − | 0.408906i | ||||
\(713\) | 4007.53 | − | 3362.72i | 0.210496 | − | 0.176627i | ||||
\(714\) | −11582.0 | + | 10532.6i | −0.607068 | + | 0.552064i | ||||
\(715\) | −2087.98 | + | 11841.5i | −0.109211 | + | 0.619367i | ||||
\(716\) | 1483.66 | − | 8414.28i | 0.0774402 | − | 0.439185i | ||||
\(717\) | −6793.20 | − | 31200.3i | −0.353831 | − | 1.62510i | ||||
\(718\) | 31531.8 | − | 26458.3i | 1.63894 | − | 1.37523i | ||||
\(719\) | −2138.32 | + | 3703.67i | −0.110912 | + | 0.192105i | −0.916138 | − | 0.400862i | \(-0.868711\pi\) |
0.805226 | + | 0.592968i | \(0.202044\pi\) | |||||||
\(720\) | −28599.5 | − | 7895.64i | −1.48033 | − | 0.408685i | ||||
\(721\) | −21106.3 | − | 36557.2i | −1.09021 | − | 1.88830i | ||||
\(722\) | 8935.95 | + | 3252.42i | 0.460612 | + | 0.167649i | ||||
\(723\) | −25168.8 | + | 1003.50i | −1.29466 | + | 0.0516189i | ||||
\(724\) | 7158.19 | + | 6006.43i | 0.367447 | + | 0.308325i | ||||
\(725\) | −340.641 | + | 123.983i | −0.0174498 | + | 0.00635120i | ||||
\(726\) | 2037.64 | − | 15037.5i | 0.104165 | − | 0.768725i | ||||
\(727\) | 6189.02 | + | 35099.7i | 0.315733 | + | 1.79061i | 0.568078 | + | 0.822975i | \(0.307687\pi\) |
−0.252344 | + | 0.967637i | \(0.581202\pi\) | |||||||
\(728\) | 24642.4 | 1.25454 | ||||||||
\(729\) | −13598.5 | − | 14230.3i | −0.690873 | − | 0.722976i | ||||
\(730\) | 37346.6 | 1.89351 | ||||||||
\(731\) | 1799.53 | + | 10205.6i | 0.0910504 | + | 0.516373i | ||||
\(732\) | −1020.45 | + | 7530.77i | −0.0515258 | + | 0.380253i | ||||
\(733\) | −16264.4 | + | 5919.75i | −0.819562 | + | 0.298296i | −0.717568 | − | 0.696489i | \(-0.754745\pi\) |
−0.101994 | + | 0.994785i | \(0.532522\pi\) | |||||||
\(734\) | 23840.8 | + | 20004.8i | 1.19888 | + | 1.00598i | ||||
\(735\) | 51651.8 | − | 2059.39i | 2.59212 | − | 0.103349i | ||||
\(736\) | 9322.64 | + | 3393.16i | 0.466898 | + | 0.169937i | ||||
\(737\) | −7454.02 | − | 12910.7i | −0.372554 | − | 0.645283i | ||||
\(738\) | −15848.0 | − | 4375.26i | −0.790477 | − | 0.218232i | ||||
\(739\) | 5197.85 | − | 9002.94i | 0.258736 | − | 0.448144i | −0.707167 | − | 0.707046i | \(-0.750027\pi\) |
0.965904 | + | 0.258902i | \(0.0833607\pi\) | |||||||
\(740\) | −1415.37 | + | 1187.64i | −0.0703111 | + | 0.0589980i | ||||
\(741\) | −2833.19 | − | 13012.5i | −0.140459 | − | 0.645111i | ||||
\(742\) | 2290.38 | − | 12989.4i | 0.113319 | − | 0.642662i | ||||
\(743\) | 1060.37 | − | 6013.64i | 0.0523568 | − | 0.296930i | −0.947374 | − | 0.320129i | \(-0.896274\pi\) |
0.999731 | + | 0.0231986i | \(0.00738500\pi\) | |||||||
\(744\) | 3607.21 | − | 3280.38i | 0.177751 | − | 0.161646i | ||||
\(745\) | −4950.52 | + | 4153.98i | −0.243454 | + | 0.204282i | ||||
\(746\) | −12954.7 | + | 22438.2i | −0.635798 | + | 1.10123i | ||||
\(747\) | −2616.23 | + | 27504.7i | −0.128143 | + | 1.34718i | ||||
\(748\) | 648.688 | + | 1123.56i | 0.0317091 | + | 0.0549217i | ||||
\(749\) | 34693.3 | + | 12627.3i | 1.69248 | + | 0.616012i | ||||
\(750\) | 4914.93 | − | 9354.90i | 0.239291 | − | 0.455457i | ||||
\(751\) | 12138.3 | + | 10185.2i | 0.589791 | + | 0.494893i | 0.888146 | − | 0.459562i | \(-0.151993\pi\) |
−0.298355 | + | 0.954455i | \(0.596438\pi\) | |||||||
\(752\) | −21665.2 | + | 7885.50i | −1.05060 | + | 0.382386i | ||||
\(753\) | −10516.6 | + | 4309.56i | −0.508958 | + | 0.208565i | ||||
\(754\) | 102.623 | + | 582.003i | 0.00495664 | + | 0.0281105i | ||||
\(755\) | −5204.76 | −0.250888 | ||||||||
\(756\) | −3854.45 | + | 9014.67i | −0.185430 | + | 0.433678i | ||||
\(757\) | 2034.87 | 0.0976995 | 0.0488498 | − | 0.998806i | \(-0.484444\pi\) | ||||
0.0488498 | + | 0.998806i | \(0.484444\pi\) | |||||||
\(758\) | −3982.54 | − | 22586.1i | −0.190834 | − | 1.08228i | ||||
\(759\) | −8681.97 | − | 6714.26i | −0.415198 | − | 0.321096i | ||||
\(760\) | −15595.0 | + | 5676.11i | −0.744328 | + | 0.270913i | ||||
\(761\) | 1158.85 | + | 972.389i | 0.0552013 | + | 0.0463194i | 0.669971 | − | 0.742387i | \(-0.266307\pi\) |
−0.614770 | + | 0.788707i | \(0.710751\pi\) | |||||||
\(762\) | −108.984 | − | 172.507i | −0.00518119 | − | 0.00820116i | ||||
\(763\) | 9852.15 | + | 3585.89i | 0.467460 | + | 0.170141i | ||||
\(764\) | −4349.39 | − | 7533.36i | −0.205962 | − | 0.356738i | ||||
\(765\) | 11319.7 | − | 904.087i | 0.534988 | − | 0.0427285i | ||||
\(766\) | 20923.6 | − | 36240.7i | 0.986945 | − | 1.70944i | ||||
\(767\) | 18127.0 | − | 15210.3i | 0.853360 | − | 0.716054i | ||||
\(768\) | 15394.7 | + | 4918.04i | 0.723316 | + | 0.231073i | ||||
\(769\) | 121.214 | − | 687.438i | 0.00568411 | − | 0.0322362i | −0.981834 | − | 0.189743i | \(-0.939235\pi\) |
0.987518 | + | 0.157507i | \(0.0503456\pi\) | |||||||
\(770\) | 5209.36 | − | 29543.7i | 0.243808 | − | 1.38270i | ||||
\(771\) | 4010.16 | + | 1281.10i | 0.187318 | + | 0.0598413i | ||||
\(772\) | −3499.91 | + | 2936.78i | −0.163167 | + | 0.136913i | ||||
\(773\) | −19332.9 | + | 33485.6i | −0.899556 | + | 1.55808i | −0.0714925 | + | 0.997441i | \(0.522776\pi\) |
−0.828063 | + | 0.560635i | \(0.810557\pi\) | |||||||
\(774\) | 17256.2 | + | 25045.6i | 0.801369 | + | 1.16311i | ||||
\(775\) | −2031.84 | − | 3519.26i | −0.0941755 | − | 0.163117i | ||||
\(776\) | −23103.2 | − | 8408.88i | −1.06876 | − | 0.388996i | ||||
\(777\) | −5307.56 | − | 8401.17i | −0.245055 | − | 0.387890i | ||||
\(778\) | −19571.3 | − | 16422.2i | −0.901882 | − | 0.756769i | ||||
\(779\) | −11172.2 | + | 4066.33i | −0.513843 | + | 0.187024i | ||||
\(780\) | 5263.50 | + | 4070.56i | 0.241620 | + | 0.186858i | ||||
\(781\) | 1580.83 | + | 8965.32i | 0.0724283 | + | 0.410761i | ||||
\(782\) | −9697.95 | −0.443476 | ||||||||
\(783\) | 615.081 | + | 143.704i | 0.0280730 | + | 0.00655883i | ||||
\(784\) | −53192.0 | −2.42311 | ||||||||
\(785\) | −5495.25 | − | 31165.1i | −0.249852 | − | 1.41698i | ||||
\(786\) | 15112.1 | − | 6192.76i | 0.685791 | − | 0.281028i | ||||
\(787\) | −31799.3 | + | 11574.0i | −1.44031 | + | 0.524229i | −0.939867 | − | 0.341542i | \(-0.889051\pi\) |
−0.500441 | + | 0.865771i | \(0.666829\pi\) | |||||||
\(788\) | 1454.63 | + | 1220.58i | 0.0657601 | + | 0.0551793i | ||||
\(789\) | −7056.64 | + | 13431.3i | −0.318407 | + | 0.606044i | ||||
\(790\) | 3440.19 | + | 1252.13i | 0.154932 | + | 0.0563908i | ||||
\(791\) | 5001.23 | + | 8662.39i | 0.224808 | + | 0.389379i | ||||
\(792\) | −8334.51 | − | 5930.38i | −0.373932 | − | 0.266070i | ||||
\(793\) | −13870.0 | + | 24023.5i | −0.621107 | + | 1.07579i | ||||
\(794\) | 8881.12 | − | 7452.14i | 0.396951 | − | 0.333081i | ||||
\(795\) | −7078.35 | + | 6437.01i | −0.315777 | + | 0.287166i | ||||
\(796\) | −360.077 | + | 2042.10i | −0.0160334 | + | 0.0909300i | ||||
\(797\) | −3594.76 | + | 20386.9i | −0.159765 | + | 0.906073i | 0.794534 | + | 0.607220i | \(0.207715\pi\) |
−0.954299 | + | 0.298853i | \(0.903396\pi\) | |||||||
\(798\) | 7068.62 | + | 32465.3i | 0.313567 | + | 1.44017i | ||||
\(799\) | 6759.91 | − | 5672.24i | 0.299310 | − | 0.251151i | ||||
\(800\) | 3853.19 | − | 6673.92i | 0.170289 | − | 0.294948i | ||||
\(801\) | 3276.39 | + | 12608.6i | 0.144526 | + | 0.556182i | ||||
\(802\) | 19294.0 | + | 33418.2i | 0.849494 | + | 1.47137i | ||||
\(803\) | 15642.3 | + | 5693.33i | 0.687428 | + | 0.250203i | ||||
\(804\) | −8243.16 | + | 328.660i | −0.361584 | + | 0.0144166i | ||||
\(805\) | 36655.7 | + | 30757.8i | 1.60490 | + | 1.34667i | ||||
\(806\) | −6225.43 | + | 2265.87i | −0.272061 | + | 0.0990222i | ||||
\(807\) | 4198.64 | − | 30985.4i | 0.183146 | − | 1.35160i | ||||
\(808\) | −1643.11 | − | 9318.55i | −0.0715402 | − | 0.405724i | ||||
\(809\) | −14765.9 | −0.641708 | −0.320854 | − | 0.947129i | \(-0.603970\pi\) | ||||
−0.320854 | + | 0.947129i | \(0.603970\pi\) | |||||||
\(810\) | 29112.1 | − | 16225.4i | 1.26283 | − | 0.703832i | ||||
\(811\) | 31275.1 | 1.35415 | 0.677076 | − | 0.735913i | \(-0.263247\pi\) | ||||
0.677076 | + | 0.735913i | \(0.263247\pi\) | |||||||
\(812\) | −54.6338 | − | 309.844i | −0.00236117 | − | 0.0133909i | ||||
\(813\) | −1429.37 | + | 10548.6i | −0.0616609 | + | 0.455049i | ||||
\(814\) | −3626.66 | + | 1320.00i | −0.156160 | + | 0.0568377i | ||||
\(815\) | 712.649 | + | 597.983i | 0.0306294 | + | 0.0257012i | ||||
\(816\) | −11675.9 | + | 465.523i | −0.500903 | + | 0.0199713i | ||||
\(817\) | 20667.9 | + | 7522.51i | 0.885042 | + | 0.322129i | ||||
\(818\) | −9456.34 | − | 16378.9i | −0.404197 | − | 0.700090i | ||||
\(819\) | −25496.0 | + | 25113.0i | −1.08779 | + | 1.07145i | ||||
\(820\) | 2970.13 | − | 5144.42i | 0.126490 | − | 0.219086i | ||||
\(821\) | −20255.2 | + | 16996.2i | −0.861039 | + | 0.722497i | −0.962192 | − | 0.272373i | \(-0.912191\pi\) |
0.101153 | + | 0.994871i | \(0.467747\pi\) | |||||||
\(822\) | −2291.76 | − | 10525.8i | −0.0972437 | − | 0.446629i | ||||
\(823\) | 6435.10 | − | 36495.3i | 0.272556 | − | 1.54574i | −0.474064 | − | 0.880490i | \(-0.657214\pi\) |
0.746620 | − | 0.665251i | \(-0.231675\pi\) | |||||||
\(824\) | 4232.11 | − | 24001.5i | 0.178923 | − | 1.01472i | ||||
\(825\) | −6307.33 | + | 5735.85i | −0.266174 | + | 0.242057i | ||||
\(826\) | −45225.5 | + | 37948.7i | −1.90508 | + | 1.59855i | ||||
\(827\) | 21061.9 | − | 36480.3i | 0.885604 | − | 1.53391i | 0.0405844 | − | 0.999176i | \(-0.487078\pi\) |
0.845020 | − | 0.534735i | \(-0.179589\pi\) | |||||||
\(828\) | −5523.68 | + | 2525.02i | −0.231837 | + | 0.105979i | ||||
\(829\) | −5648.47 | − | 9783.43i | −0.236646 | − | 0.409883i | 0.723104 | − | 0.690739i | \(-0.242715\pi\) |
−0.959750 | + | 0.280857i | \(0.909381\pi\) | |||||||
\(830\) | −43961.4 | − | 16000.6i | −1.83846 | − | 0.669145i | ||||
\(831\) | −10119.4 | + | 19260.9i | −0.422428 | + | 0.804034i | ||||
\(832\) | 9710.92 | + | 8148.43i | 0.404646 | + | 0.339538i | ||||
\(833\) | 19131.2 | − | 6963.18i | 0.795745 | − | 0.289628i | ||||
\(834\) | −43690.2 | + | 17903.7i | −1.81399 | + | 0.743350i | ||||
\(835\) | −5872.98 | − | 33307.3i | −0.243405 | − | 1.38042i | ||||
\(836\) | 2753.53 | 0.113915 | ||||||||
\(837\) | −389.138 | + | 7070.11i | −0.0160700 | + | 0.291970i | ||||
\(838\) | −3399.68 | −0.140143 | ||||||||
\(839\) | 1943.27 | + | 11020.8i | 0.0799633 | + | 0.453494i | 0.998330 | + | 0.0577644i | \(0.0183972\pi\) |
−0.918367 | + | 0.395730i | \(0.870492\pi\) | |||||||
\(840\) | 35278.2 | + | 27282.6i | 1.44906 | + | 1.12064i | ||||
\(841\) | 22899.1 | − | 8334.60i | 0.938912 | − | 0.341736i | ||||
\(842\) | −1462.92 | − | 1227.53i | −0.0598758 | − | 0.0502417i | ||||
\(843\) | −306.025 | − | 484.399i | −0.0125031 | − | 0.0197907i | ||||
\(844\) | 2240.14 | + | 815.346i | 0.0913613 | + | 0.0332528i | ||||
\(845\) | −3603.98 | − | 6242.28i | −0.146723 | − | 0.254131i | ||||
\(846\) | 11122.7 | − | 23389.0i | 0.452018 | − | 0.950508i | ||||
\(847\) | −14744.5 | + | 25538.2i | −0.598142 | + | 1.03601i | ||||
\(848\) | 7541.73 | − | 6328.26i | 0.305406 | − | 0.256266i | ||||
\(849\) | 15384.7 | + | 4914.85i | 0.621910 | + | 0.198678i | ||||
\(850\) | −1308.12 | + | 7418.71i | −0.0527860 | + | 0.299364i | ||||
\(851\) | 1068.97 | − | 6062.42i | 0.0430596 | − | 0.244203i | ||||
\(852\) | 4798.78 | + | 1533.03i | 0.192962 | + | 0.0616443i | ||||
\(853\) | −21657.1 | + | 18172.5i | −0.869313 | + | 0.729441i | −0.963953 | − | 0.266071i | \(-0.914274\pi\) |
0.0946400 | + | 0.995512i | \(0.469830\pi\) | |||||||
\(854\) | 34604.6 | − | 59937.0i | 1.38659 | − | 2.40164i | ||||
\(855\) | 10350.7 | − | 21765.5i | 0.414018 | − | 0.870602i | ||||
\(856\) | 10658.0 | + | 18460.1i | 0.425563 | + | 0.737096i | ||||
\(857\) | 36636.6 | + | 13334.6i | 1.46031 | + | 0.531508i | 0.945450 | − | 0.325768i | \(-0.105623\pi\) |
0.514857 | + | 0.857276i | \(0.327845\pi\) | |||||||
\(858\) | 7423.42 | + | 11750.3i | 0.295375 | + | 0.467540i | ||||
\(859\) | −13609.2 | − | 11419.5i | −0.540561 | − | 0.453584i | 0.331169 | − | 0.943571i | \(-0.392557\pi\) |
−0.871730 | + | 0.489987i | \(0.837001\pi\) | |||||||
\(860\) | −10326.5 | + | 3758.53i | −0.409453 | + | 0.149029i | ||||
\(861\) | 25273.0 | + | 19545.1i | 1.00035 | + | 0.773628i | ||||
\(862\) | −3156.12 | − | 17899.2i | −0.124708 | − | 0.707252i | ||||
\(863\) | −7872.07 | −0.310508 | −0.155254 | − | 0.987875i | \(-0.549620\pi\) | ||||
−0.155254 | + | 0.987875i | \(0.549620\pi\) | |||||||
\(864\) | −11980.4 | + | 6064.78i | −0.471739 | + | 0.238806i | ||||
\(865\) | −35803.2 | −1.40734 | ||||||||
\(866\) | 7929.16 | + | 44968.5i | 0.311136 | + | 1.76454i | ||||
\(867\) | −19483.8 | + | 7984.22i | −0.763212 | + | 0.312755i | ||||
\(868\) | 3314.26 | − | 1206.29i | 0.129601 | − | 0.0471707i | ||||
\(869\) | 1250.01 | + | 1048.88i | 0.0487960 | + | 0.0409447i | ||||
\(870\) | −497.443 | + | 946.815i | −0.0193849 | + | 0.0368966i | ||||
\(871\) | −28297.0 | − | 10299.3i | −1.10081 | − | 0.400663i | ||||
\(872\) | 3026.63 | + | 5242.28i | 0.117540 | + | 0.203585i | ||||
\(873\) | 32472.9 | − | 14844.2i | 1.25893 | − | 0.575489i | ||||
\(874\) | −10291.4 | + | 17825.2i | −0.398296 | + | 0.689869i | ||||
\(875\) | −15731.0 | + | 13199.9i | −0.607777 | + | 0.509986i | ||||
\(876\) | 6814.96 | − | 6197.49i | 0.262850 | − | 0.239034i | ||||
\(877\) | −3043.76 | + | 17262.0i | −0.117196 | + | 0.664650i | 0.868444 | + | 0.495787i | \(0.165120\pi\) |
−0.985640 | + | 0.168862i | \(0.945991\pi\) | |||||||
\(878\) | −1000.80 | + | 5675.82i | −0.0384685 | + | 0.218166i | ||||
\(879\) | −10733.5 | − | 49297.8i | −0.411869 | − | 1.89166i | ||||
\(880\) | 17153.3 | − | 14393.3i | 0.657088 | − | 0.551362i | ||||
\(881\) | 4803.61 | − | 8320.09i | 0.183698 | − | 0.318174i | −0.759439 | − | 0.650578i | \(-0.774527\pi\) |
0.943137 | + | 0.332405i | \(0.107860\pi\) | |||||||
\(882\) | 42569.6 | − | 41930.1i | 1.62516 | − | 1.60075i | ||||
\(883\) | −10581.8 | − | 18328.2i | −0.403291 | − | 0.698521i | 0.590830 | − | 0.806796i | \(-0.298801\pi\) |
−0.994121 | + | 0.108275i | \(0.965467\pi\) | |||||||
\(884\) | 2462.55 | + | 896.295i | 0.0936929 | + | 0.0341014i | ||||
\(885\) | 42790.6 | − | 1706.09i | 1.62530 | − | 0.0648016i | ||||
\(886\) | 22911.3 | + | 19224.9i | 0.868760 | + | 0.728977i | ||||
\(887\) | 22199.9 | − | 8080.11i | 0.840361 | − | 0.305866i | 0.114257 | − | 0.993451i | \(-0.463551\pi\) |
0.726104 | + | 0.687585i | \(0.241329\pi\) | |||||||
\(888\) | 770.394 | − | 5685.41i | 0.0291134 | − | 0.214853i | ||||
\(889\) | 68.8556 | + | 390.499i | 0.00259768 | + | 0.0147322i | ||||
\(890\) | −22058.6 | −0.830792 | ||||||||
\(891\) | 14666.8 | − | 2357.87i | 0.551467 | − | 0.0886549i | ||||
\(892\) | 440.185 | 0.0165230 | ||||||||
\(893\) | −3252.23 | − | 18444.3i | −0.121872 | − | 0.691170i | ||||
\(894\) | −1003.04 | + | 7402.32i | −0.0375243 | + | 0.276925i | ||||
\(895\) | 53038.2 | − | 19304.3i | 1.98086 | − | 0.720975i | ||||
\(896\) | −43116.2 | − | 36178.8i | −1.60760 | − | 1.34894i | ||||
\(897\) | −22151.7 | + | 883.200i | −0.824551 | + | 0.0328753i | ||||
\(898\) | 496.543 | + | 180.727i | 0.0184519 | + | 0.00671596i | ||||
\(899\) | −113.615 | − | 196.786i | −0.00421497 | − | 0.00730055i | ||||
\(900\) | 1186.52 | + | 4566.08i | 0.0439451 | + | 0.169114i | ||||
\(901\) | −1884.07 | + | 3263.30i | −0.0696641 | + | 0.120662i | ||||
\(902\) | 9505.26 | − | 7975.86i | 0.350876 | − | 0.294420i | ||||
\(903\) | −12574.0 | − | 57751.0i | −0.463386 | − | 2.12828i | ||||
\(904\) | −1002.82 | + | 5687.25i | −0.0368951 | + | 0.209243i | ||||
\(905\) | −10719.1 | + | 60790.8i | −0.393717 | + | 2.23288i | ||||
\(906\) | −4450.96 | + | 4047.68i | −0.163216 | + | 0.148427i | ||||
\(907\) | −194.057 | + | 162.833i | −0.00710425 | + | 0.00596117i | −0.646333 | − | 0.763056i | \(-0.723698\pi\) |
0.639229 | + | 0.769017i | \(0.279254\pi\) | |||||||
\(908\) | −3238.46 | + | 5609.17i | −0.118361 | + | 0.205008i | ||||
\(909\) | 11196.5 | + | 7966.83i | 0.408542 | + | 0.290697i | ||||
\(910\) | −30298.2 | − | 52478.1i | −1.10371 | − | 1.91168i | ||||
\(911\) | 11760.4 | + | 4280.42i | 0.427704 | + | 0.155671i | 0.546897 | − | 0.837200i | \(-0.315809\pi\) |
−0.119194 | + | 0.992871i | \(0.538031\pi\) | |||||||
\(912\) | −11534.7 | + | 21954.6i | −0.418806 | + | 0.797139i | ||||
\(913\) | −15973.6 | − | 13403.4i | −0.579024 | − | 0.485859i | ||||
\(914\) | 21152.9 | − | 7699.01i | 0.765508 | − | 0.278622i | ||||
\(915\) | −46453.7 | + | 19036.1i | −1.67837 | + | 0.687777i | ||||
\(916\) | −430.500 | − | 2441.49i | −0.0155285 | − | 0.0880667i | ||||
\(917\) | −31737.0 | −1.14291 | ||||||||
\(918\) | 8977.22 | − | 9576.37i | 0.322759 | − | 0.344300i | ||||
\(919\) | −30267.5 | −1.08644 | −0.543218 | − | 0.839592i | \(-0.682794\pi\) | ||||
−0.543218 | + | 0.839592i | \(0.682794\pi\) | |||||||
\(920\) | 4797.35 | + | 27207.1i | 0.171917 | + | 0.974992i | ||||
\(921\) | −15827.4 | − | 12240.3i | −0.566267 | − | 0.437926i | ||||
\(922\) | −15952.9 | + | 5806.38i | −0.569827 | + | 0.207400i | ||||
\(923\) | 14086.5 | + | 11820.0i | 0.502342 | + | 0.421515i | ||||
\(924\) | −3952.04 | − | 6255.57i | −0.140706 | − | 0.222720i | ||||
\(925\) | −4493.43 | − | 1635.47i | −0.159722 | − | 0.0581341i | ||||
\(926\) | 14920.6 | + | 25843.3i | 0.529506 | + | 0.917131i | ||||
\(927\) | 20081.1 | + | 29145.8i | 0.711489 | + | 1.03266i | ||||
\(928\) | 215.459 | − | 373.186i | 0.00762153 | − | 0.0132009i | ||||
\(929\) | −3873.63 | + | 3250.36i | −0.136803 | + | 0.114791i | −0.708621 | − | 0.705589i | \(-0.750682\pi\) |
0.571819 | + | 0.820380i | \(0.306238\pi\) | |||||||
\(930\) | −11421.0 | − | 3648.59i | −0.402697 | − | 0.128647i | ||||
\(931\) | 7503.25 | − | 42553.1i | 0.264134 | − | 1.49798i | ||||
\(932\) | −1551.21 | + | 8797.37i | −0.0545190 | + | 0.309193i | ||||
\(933\) | 33660.6 | + | 10753.3i | 1.18113 | + | 0.377330i | ||||
\(934\) | 4481.00 | − | 3760.00i | 0.156984 | − | 0.131725i | ||||
\(935\) | −4285.22 | + | 7422.22i | −0.149884 | + | 0.259607i | ||||
\(936\) | −20596.3 | + | 1644.98i | −0.719241 | + | 0.0574445i | ||||
\(937\) | 12701.0 | + | 21998.7i | 0.442820 | + | 0.766987i | 0.997898 | − | 0.0648119i | \(-0.0206447\pi\) |
−0.555077 | + | 0.831799i | \(0.687311\pi\) | |||||||
\(938\) | 70598.9 | + | 25695.9i | 2.45750 | + | 0.894457i | ||||
\(939\) | −9219.12 | − | 14592.7i | −0.320399 | − | 0.507150i | ||||
\(940\) | 7168.35 | + | 6014.96i | 0.248730 | + | 0.208709i | ||||
\(941\) | 1241.48 | − | 451.861i | 0.0430085 | − | 0.0156538i | −0.320426 | − | 0.947273i | \(-0.603826\pi\) |
0.363435 | + | 0.931620i | \(0.381604\pi\) | |||||||
\(942\) | −28936.1 | − | 22377.9i | −1.00084 | − | 0.774004i | ||||
\(943\) | 3436.79 | + | 19491.0i | 0.118682 | + | 0.673081i | ||||
\(944\) | −44066.6 | −1.51933 | ||||||||
\(945\) | −64303.7 | + | 7724.24i | −2.21354 | + | 0.265894i | ||||
\(946\) | −22954.6 | −0.788921 | ||||||||
\(947\) | 4471.82 | + | 25360.9i | 0.153447 | + | 0.870242i | 0.960192 | + | 0.279342i | \(0.0901163\pi\) |
−0.806744 | + | 0.590900i | \(0.798773\pi\) | |||||||
\(948\) | 835.547 | − | 342.397i | 0.0286258 | − | 0.0117305i | ||||
\(949\) | 31596.1 | − | 11500.1i | 1.08077 | − | 0.393369i | ||||
\(950\) | 12247.7 | + | 10277.0i | 0.418282 | + | 0.350980i | ||||
\(951\) | 5270.17 | − | 10031.0i | 0.179702 | − | 0.342039i | ||||
\(952\) | 16505.0 | + | 6007.34i | 0.561903 | + | 0.204516i | ||||
\(953\) | −19703.7 | − | 34127.9i | −0.669745 | − | 1.16003i | −0.977975 | − | 0.208720i | \(-0.933070\pi\) |
0.308231 | − | 0.951312i | \(-0.400263\pi\) | |||||||
\(954\) | −1047.21 | + | 11009.5i | −0.0355396 | + | 0.373632i | ||||
\(955\) | 28732.0 | − | 49765.3i | 0.973555 | − | 1.68625i | ||||
\(956\) | 10215.9 | − | 8572.12i | 0.345611 | − | 0.290002i | ||||
\(957\) | −352.687 | + | 320.732i | −0.0119130 | + | 0.0108336i | ||||
\(958\) | −6617.43 | + | 37529.3i | −0.223173 | + | 1.26568i | ||||
\(959\) | −3635.09 | + | 20615.6i | −0.122402 | + | 0.694174i | ||||
\(960\) | 4880.74 | + | 22416.6i | 0.164089 | + | 0.753640i | ||||
\(961\) | −20869.9 | + | 17511.9i | −0.700544 | + | 0.587826i | ||||
\(962\) | −3897.85 | + | 6751.27i | −0.130636 | + | 0.226268i | ||||
\(963\) | −29839.8 | − | 8238.07i | −0.998519 | − | 0.275668i | ||||
\(964\) | −5259.96 | − | 9110.51i | −0.175738 | − | 0.304388i | ||||
\(965\) | −28361.3 | − | 10322.7i | −0.946097 | − | 0.344351i | ||||
\(966\) | 55266.8 | − | 2203.52i | 1.84077 | − | 0.0733924i | ||||
\(967\) | 24831.4 | + | 20836.0i | 0.825775 | + | 0.692908i | 0.954317 | − | 0.298796i | \(-0.0965851\pi\) |
−0.128542 | + | 0.991704i | \(0.541030\pi\) | |||||||
\(968\) | −15998.9 | + | 5823.12i | −0.531223 | + | 0.193349i | ||||
\(969\) | 1274.58 | − | 9406.23i | 0.0422553 | − | 0.311839i | ||||
\(970\) | 10498.3 | + | 59539.1i | 0.347507 | + | 1.97081i | ||||
\(971\) | −1324.42 | −0.0437722 | −0.0218861 | − | 0.999760i | \(-0.506967\pi\) | ||||
−0.0218861 | + | 0.999760i | \(0.506967\pi\) | |||||||
\(972\) | 2619.81 | − | 7791.81i | 0.0864509 | − | 0.257122i | ||||
\(973\) | 91753.8 | 3.02312 | ||||||||
\(974\) | −1241.10 | − | 7038.64i | −0.0408290 | − | 0.231553i | ||||
\(975\) | −2312.33 | + | 17064.7i | −0.0759525 | + | 0.560519i | ||||
\(976\) | 48543.4 | − | 17668.3i | 1.59204 | − | 0.579457i | ||||
\(977\) | −19239.2 | − | 16143.6i | −0.630005 | − | 0.528637i | 0.270925 | − | 0.962600i | \(-0.412670\pi\) |
−0.900931 | + | 0.433963i | \(0.857115\pi\) | |||||||
\(978\) | 1074.48 | − | 42.8402i | 0.0351310 | − | 0.00140069i | ||||
\(979\) | −9239.03 | − | 3362.73i | −0.301614 | − | 0.109779i | ||||
\(980\) | 10794.5 | + | 18696.7i | 0.351856 | + | 0.609432i | ||||
\(981\) | −8473.85 | − | 2339.43i | −0.275789 | − | 0.0761390i | ||||
\(982\) | −29516.0 | + | 51123.2i | −0.959157 | + | 1.66131i | ||||
\(983\) | 9426.29 | − | 7909.59i | 0.305851 | − | 0.256640i | −0.476923 | − | 0.878945i | \(-0.658248\pi\) |
0.782775 | + | 0.622305i | \(0.213804\pi\) | |||||||
\(984\) | 3924.27 | + | 18023.7i | 0.127135 | + | 0.583917i | ||||
\(985\) | −2178.24 | + | 12353.4i | −0.0704613 | + | 0.399606i | ||||
\(986\) | −73.1461 | + | 414.832i | −0.00236252 | + | 0.0133985i | ||||
\(987\) | −37234.6 | + | 33861.0i | −1.20080 | + | 1.09200i | ||||
\(988\) | 4260.66 | − | 3575.12i | 0.137196 | − | 0.115121i | ||||
\(989\) | 18306.8 | − | 31708.4i | 0.588598 | − | 1.01948i | ||||
\(990\) | −2381.84 | + | 25040.5i | −0.0764644 | + | 0.803880i | ||||
\(991\) | −11532.2 | − | 19974.4i | −0.369660 | − | 0.640270i | 0.619852 | − | 0.784718i | \(-0.287192\pi\) |
−0.989512 | + | 0.144449i | \(0.953859\pi\) | |||||||
\(992\) | 4539.31 | + | 1652.17i | 0.145286 | + | 0.0528796i | ||||
\(993\) | −12757.3 | + | 24281.8i | −0.407695 | + | 0.775992i | ||||
\(994\) | −35144.7 | − | 29489.9i | −1.12145 | − | 0.941010i | ||||
\(995\) | −12872.1 | + | 4685.05i | −0.410123 | + | 0.149273i | ||||
\(996\) | −10677.2 | + | 4375.40i | −0.339680 | + | 0.139197i | ||||
\(997\) | 2993.18 | + | 16975.1i | 0.0950801 | + | 0.539226i | 0.994723 | + | 0.102599i | \(0.0327159\pi\) |
−0.899643 | + | 0.436627i | \(0.856173\pi\) | |||||||
\(998\) | 42950.4 | 1.36230 | ||||||||
\(999\) | 4996.90 | + | 6667.44i | 0.158253 | + | 0.211160i |
(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.13.6 | ✓ | 48 | |
3.2 | odd | 2 | 81.4.e.a.10.3 | 48 | |||
9.2 | odd | 6 | 243.4.e.b.109.3 | 48 | |||
9.4 | even | 3 | 243.4.e.d.190.3 | 48 | |||
9.5 | odd | 6 | 243.4.e.a.190.6 | 48 | |||
9.7 | even | 3 | 243.4.e.c.109.6 | 48 | |||
27.2 | odd | 18 | 81.4.e.a.73.3 | 48 | |||
27.5 | odd | 18 | 729.4.a.c.1.6 | 24 | |||
27.7 | even | 9 | 243.4.e.c.136.6 | 48 | |||
27.11 | odd | 18 | 243.4.e.a.55.6 | 48 | |||
27.16 | even | 9 | 243.4.e.d.55.3 | 48 | |||
27.20 | odd | 18 | 243.4.e.b.136.3 | 48 | |||
27.22 | even | 9 | 729.4.a.d.1.19 | 24 | |||
27.25 | even | 9 | inner | 27.4.e.a.25.6 | yes | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
27.4.e.a.13.6 | ✓ | 48 | 1.1 | even | 1 | trivial | |
27.4.e.a.25.6 | yes | 48 | 27.25 | even | 9 | inner | |
81.4.e.a.10.3 | 48 | 3.2 | odd | 2 | |||
81.4.e.a.73.3 | 48 | 27.2 | odd | 18 | |||
243.4.e.a.55.6 | 48 | 27.11 | odd | 18 | |||
243.4.e.a.190.6 | 48 | 9.5 | odd | 6 | |||
243.4.e.b.109.3 | 48 | 9.2 | odd | 6 | |||
243.4.e.b.136.3 | 48 | 27.20 | odd | 18 | |||
243.4.e.c.109.6 | 48 | 9.7 | even | 3 | |||
243.4.e.c.136.6 | 48 | 27.7 | even | 9 | |||
243.4.e.d.55.3 | 48 | 27.16 | even | 9 | |||
243.4.e.d.190.3 | 48 | 9.4 | even | 3 | |||
729.4.a.c.1.6 | 24 | 27.5 | odd | 18 | |||
729.4.a.d.1.19 | 24 | 27.22 | even | 9 |