Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [324,3,Mod(19,324)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(324, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 16]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("324.19");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 324 = 2^{2} \cdot 3^{4} \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 324.j (of order \(18\), degree \(6\), not 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: | \(8.82836056527\) |
Analytic rank: | \(0\) |
Dimension: | \(204\) |
Relative dimension: | \(34\) over \(\Q(\zeta_{18})\) |
Twist minimal: | no (minimal twist has level 108) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 19.14 | ||
Character | \(\chi\) | \(=\) | 324.19 |
Dual form | 324.3.j.a.307.14 |
$q$-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 \(\left(\mathbb{Z}/324\mathbb{Z}\right)^\times\).
\(n\) | \(163\) | \(245\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{8}{9}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.376263 | − | 1.96429i | −0.188132 | − | 0.982144i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −3.71685 | + | 1.47818i | −0.929213 | + | 0.369545i | ||||
\(5\) | 1.26933 | + | 7.19876i | 0.253867 | + | 1.43975i | 0.798964 | + | 0.601378i | \(0.205382\pi\) |
−0.545097 | + | 0.838373i | \(0.683507\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 2.67622 | − | 3.18940i | 0.382317 | − | 0.455628i | −0.540227 | − | 0.841519i | \(-0.681662\pi\) |
0.922544 | + | 0.385891i | \(0.126106\pi\) | |||||||
\(8\) | 4.30208 | + | 6.74478i | 0.537761 | + | 0.843098i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 13.6628 | − | 5.20197i | 1.36628 | − | 0.520197i | ||||
\(11\) | −18.4141 | − | 3.24691i | −1.67401 | − | 0.295173i | −0.745508 | − | 0.666497i | \(-0.767793\pi\) |
−0.928504 | + | 0.371323i | \(0.878904\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −15.1228 | − | 5.50426i | −1.16330 | − | 0.423405i | −0.313022 | − | 0.949746i | \(-0.601341\pi\) |
−0.850274 | + | 0.526341i | \(0.823564\pi\) | |||||||
\(14\) | −7.27185 | − | 4.05681i | −0.519418 | − | 0.289772i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 11.6300 | − | 10.9883i | 0.726873 | − | 0.686772i | ||||
\(17\) | −7.49839 | − | 12.9876i | −0.441082 | − | 0.763976i | 0.556688 | − | 0.830722i | \(-0.312072\pi\) |
−0.997770 | + | 0.0667452i | \(0.978739\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −0.338254 | − | 0.195291i | −0.0178029 | − | 0.0102785i | 0.491072 | − | 0.871119i | \(-0.336605\pi\) |
−0.508875 | + | 0.860840i | \(0.669938\pi\) | |||||||
\(20\) | −15.3590 | − | 24.8804i | −0.767949 | − | 1.24402i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 0.550703 | + | 37.3923i | 0.0250319 | + | 1.69965i | ||||
\(23\) | −10.6620 | − | 12.7065i | −0.463566 | − | 0.552456i | 0.482725 | − | 0.875772i | \(-0.339647\pi\) |
−0.946291 | + | 0.323316i | \(0.895202\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −26.7186 | + | 9.72476i | −1.06874 | + | 0.388990i | ||||
\(26\) | −5.12179 | + | 31.7767i | −0.196992 | + | 1.22218i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −5.23262 | + | 15.8104i | −0.186879 | + | 0.564659i | ||||
\(29\) | −36.9589 | + | 13.4520i | −1.27445 | + | 0.463861i | −0.888592 | − | 0.458699i | \(-0.848316\pi\) |
−0.385855 | + | 0.922560i | \(0.626093\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −14.0094 | − | 16.6957i | −0.451916 | − | 0.538572i | 0.491196 | − | 0.871049i | \(-0.336560\pi\) |
−0.943111 | + | 0.332477i | \(0.892116\pi\) | |||||||
\(32\) | −25.9602 | − | 18.7101i | −0.811256 | − | 0.584691i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −22.6900 | + | 19.6158i | −0.667353 | + | 0.576934i | ||||
\(35\) | 26.3567 | + | 15.2170i | 0.753049 | + | 0.434773i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 5.57476 | + | 9.65577i | 0.150669 | + | 0.260967i | 0.931474 | − | 0.363809i | \(-0.118524\pi\) |
−0.780804 | + | 0.624776i | \(0.785190\pi\) | |||||||
\(38\) | −0.256335 | + | 0.737910i | −0.00674567 | + | 0.0194187i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −43.0932 | + | 39.5310i | −1.07733 | + | 0.988276i | ||||
\(41\) | 56.8435 | + | 20.6894i | 1.38643 | + | 0.504618i | 0.924120 | − | 0.382101i | \(-0.124800\pi\) |
0.462307 | + | 0.886720i | \(0.347022\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 24.4766 | + | 4.31589i | 0.569224 | + | 0.100369i | 0.450850 | − | 0.892600i | \(-0.351121\pi\) |
0.118374 | + | 0.992969i | \(0.462232\pi\) | |||||||
\(44\) | 73.2421 | − | 15.1511i | 1.66459 | − | 0.344343i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −20.9475 | + | 25.7242i | −0.455380 | + | 0.559223i | ||||
\(47\) | 14.6599 | − | 17.4709i | 0.311912 | − | 0.371722i | −0.587199 | − | 0.809442i | \(-0.699769\pi\) |
0.899111 | + | 0.437720i | \(0.144214\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 5.49867 | + | 31.1845i | 0.112218 | + | 0.636419i | ||||
\(50\) | 29.1554 | + | 48.8239i | 0.583109 | + | 0.976477i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 64.3456 | − | 1.89574i | 1.23742 | − | 0.0364565i | ||||
\(53\) | −51.2309 | −0.966621 | −0.483310 | − | 0.875449i | \(-0.660566\pi\) | ||||
−0.483310 | + | 0.875449i | \(0.660566\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | − | 136.680i | − | 2.48510i | ||||||
\(56\) | 33.0251 | + | 4.32947i | 0.589734 | + | 0.0773120i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 40.3298 | + | 67.5365i | 0.695342 | + | 1.16442i | ||||
\(59\) | −82.3895 | + | 14.5275i | −1.39643 | + | 0.246229i | −0.820676 | − | 0.571394i | \(-0.806403\pi\) |
−0.575755 | + | 0.817622i | \(0.695292\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 19.0252 | + | 15.9640i | 0.311888 | + | 0.261705i | 0.785272 | − | 0.619151i | \(-0.212523\pi\) |
−0.473384 | + | 0.880856i | \(0.656968\pi\) | |||||||
\(62\) | −27.5240 | + | 33.8005i | −0.443936 | + | 0.545169i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −26.9841 | + | 58.0332i | −0.421627 | + | 0.906769i | ||||
\(65\) | 20.4279 | − | 115.852i | 0.314275 | − | 1.78234i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −17.9869 | + | 49.4186i | −0.268461 | + | 0.737592i | 0.730068 | + | 0.683375i | \(0.239488\pi\) |
−0.998529 | + | 0.0542169i | \(0.982734\pi\) | |||||||
\(68\) | 47.0684 | + | 37.1890i | 0.692183 | + | 0.546897i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 19.9736 | − | 57.4978i | 0.285337 | − | 0.821397i | ||||
\(71\) | −75.5843 | + | 43.6386i | −1.06457 | + | 0.614628i | −0.926692 | − | 0.375821i | \(-0.877361\pi\) |
−0.137875 | + | 0.990450i | \(0.544027\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 17.8942 | − | 30.9937i | 0.245127 | − | 0.424572i | −0.717041 | − | 0.697031i | \(-0.754504\pi\) |
0.962167 | + | 0.272460i | \(0.0878372\pi\) | |||||||
\(74\) | 16.8691 | − | 14.5835i | 0.227961 | − | 0.197075i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 1.54592 | + | 0.225868i | 0.0203410 | + | 0.00297195i | ||||
\(77\) | −59.6359 | + | 50.0405i | −0.774493 | + | 0.649877i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −3.59582 | − | 9.87943i | −0.0455167 | − | 0.125056i | 0.914852 | − | 0.403790i | \(-0.132307\pi\) |
−0.960368 | + | 0.278734i | \(0.910085\pi\) | |||||||
\(80\) | 93.8648 | + | 69.7734i | 1.17331 | + | 0.872168i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 19.2517 | − | 119.442i | 0.234777 | − | 1.45661i | ||||
\(83\) | −34.4827 | − | 94.7405i | −0.415455 | − | 1.14145i | −0.954249 | − | 0.299015i | \(-0.903342\pi\) |
0.538794 | − | 0.842438i | \(-0.318880\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 83.9766 | − | 70.4647i | 0.987960 | − | 0.828997i | ||||
\(86\) | −0.732011 | − | 49.7030i | −0.00851176 | − | 0.577942i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −57.3195 | − | 138.168i | −0.651357 | − | 1.57009i | ||||
\(89\) | 7.29925 | − | 12.6427i | 0.0820141 | − | 0.142053i | −0.822101 | − | 0.569342i | \(-0.807198\pi\) |
0.904115 | + | 0.427289i | \(0.140531\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −58.0273 | + | 33.5021i | −0.637663 | + | 0.368155i | ||||
\(92\) | 58.4116 | + | 31.4678i | 0.634909 | + | 0.342041i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −39.8339 | − | 22.2225i | −0.423765 | − | 0.236410i | ||||
\(95\) | 0.976496 | − | 2.68290i | 0.0102789 | − | 0.0282411i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −1.45511 | + | 8.25233i | −0.0150011 | + | 0.0850755i | −0.991389 | − | 0.130948i | \(-0.958198\pi\) |
0.976388 | + | 0.216024i | \(0.0693089\pi\) | |||||||
\(98\) | 59.1864 | − | 22.5346i | 0.603943 | − | 0.229945i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 84.9340 | − | 75.6403i | 0.849340 | − | 0.756403i | ||||
\(101\) | 110.882 | + | 93.0413i | 1.09784 | + | 0.921201i | 0.997278 | − | 0.0737291i | \(-0.0234900\pi\) |
0.100567 | + | 0.994930i | \(0.467934\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −3.58880 | + | 0.632802i | −0.0348427 | + | 0.00614371i | −0.191042 | − | 0.981582i | \(-0.561187\pi\) |
0.156200 | + | 0.987726i | \(0.450076\pi\) | |||||||
\(104\) | −27.9347 | − | 125.680i | −0.268603 | − | 1.20846i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 19.2763 | + | 100.632i | 0.181852 | + | 0.949361i | ||||
\(107\) | − | 118.520i | − | 1.10766i | −0.832629 | − | 0.553831i | \(-0.813165\pi\) | ||
0.832629 | − | 0.553831i | \(-0.186835\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −209.035 | −1.91775 | −0.958874 | − | 0.283830i | \(-0.908395\pi\) | ||||
−0.958874 | + | 0.283830i | \(0.908395\pi\) | |||||||
\(110\) | −268.479 | + | 51.4278i | −2.44072 | + | 0.467525i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −3.92181 | − | 66.4998i | −0.0350162 | − | 0.593748i | ||||
\(113\) | 19.3433 | + | 109.701i | 0.171180 | + | 0.970810i | 0.942461 | + | 0.334315i | \(0.108505\pi\) |
−0.771281 | + | 0.636494i | \(0.780384\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 77.9373 | − | 92.8820i | 0.677715 | − | 0.807670i | ||||
\(116\) | 117.487 | − | 104.631i | 1.01281 | − | 0.901990i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 59.5363 | + | 156.370i | 0.504545 | + | 1.32517i | ||||
\(119\) | −61.4899 | − | 10.8423i | −0.516722 | − | 0.0911121i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 214.835 | + | 78.1935i | 1.77549 | + | 0.646227i | ||||
\(122\) | 24.1995 | − | 43.3776i | 0.198356 | − | 0.355554i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 76.7501 | + | 41.3472i | 0.618952 | + | 0.333445i | ||||
\(125\) | −12.5484 | − | 21.7345i | −0.100387 | − | 0.173876i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 9.25406 | + | 5.34284i | 0.0728666 | + | 0.0420696i | 0.535991 | − | 0.844224i | \(-0.319938\pi\) |
−0.463124 | + | 0.886293i | \(0.653272\pi\) | |||||||
\(128\) | 124.147 | + | 31.1688i | 0.969899 | + | 0.243506i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −235.254 | + | 3.46474i | −1.80964 | + | 0.0266519i | ||||
\(131\) | 41.0569 | + | 48.9297i | 0.313411 | + | 0.373509i | 0.899637 | − | 0.436639i | \(-0.143831\pi\) |
−0.586226 | + | 0.810148i | \(0.699387\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −1.52810 | + | 0.556184i | −0.0114895 | + | 0.00418184i | ||||
\(134\) | 103.840 | + | 16.7370i | 0.774927 | + | 0.124903i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 55.3398 | − | 106.449i | 0.406910 | − | 0.782712i | ||||
\(137\) | 179.780 | − | 65.4345i | 1.31226 | − | 0.477624i | 0.411291 | − | 0.911504i | \(-0.365078\pi\) |
0.900971 | + | 0.433880i | \(0.142856\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −89.1108 | − | 106.198i | −0.641085 | − | 0.764015i | 0.343456 | − | 0.939169i | \(-0.388402\pi\) |
−0.984541 | + | 0.175153i | \(0.943958\pi\) | |||||||
\(140\) | −120.457 | − | 17.5996i | −0.860411 | − | 0.125711i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 114.158 | + | 132.050i | 0.803932 | + | 0.929927i | ||||
\(143\) | 260.602 | + | 150.459i | 1.82239 | + | 1.05216i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −143.751 | − | 248.983i | −0.991384 | − | 1.71713i | ||||
\(146\) | −67.6135 | − | 23.4876i | −0.463106 | − | 0.160874i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −34.9935 | − | 27.6486i | −0.236443 | − | 0.186815i | ||||
\(149\) | −56.2932 | − | 20.4890i | −0.377806 | − | 0.137510i | 0.146135 | − | 0.989265i | \(-0.453317\pi\) |
−0.523941 | + | 0.851754i | \(0.675539\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 69.7855 | + | 12.3051i | 0.462156 | + | 0.0814905i | 0.399878 | − | 0.916568i | \(-0.369052\pi\) |
0.0622775 | + | 0.998059i | \(0.480164\pi\) | |||||||
\(152\) | −0.138002 | − | 3.12161i | −0.000907909 | − | 0.0205369i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 120.733 | + | 98.3137i | 0.783979 | + | 0.638401i | ||||
\(155\) | 102.406 | − | 122.043i | 0.660683 | − | 0.787372i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −11.9033 | − | 67.5070i | −0.0758172 | − | 0.429981i | −0.998963 | − | 0.0455306i | \(-0.985502\pi\) |
0.923146 | − | 0.384450i | \(-0.125609\pi\) | |||||||
\(158\) | −18.0531 | + | 10.7805i | −0.114260 | + | 0.0682309i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 101.737 | − | 210.631i | 0.635858 | − | 1.31644i | ||||
\(161\) | −69.0599 | −0.428944 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 166.784i | 1.02321i | 0.859220 | + | 0.511606i | \(0.170949\pi\) | ||||
−0.859220 | + | 0.511606i | \(0.829051\pi\) | |||||||
\(164\) | −241.862 | + | 7.12567i | −1.47477 | + | 0.0434492i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −173.123 | + | 103.381i | −1.04291 | + | 0.622780i | ||||
\(167\) | 77.6761 | − | 13.6964i | 0.465126 | − | 0.0820143i | 0.0638264 | − | 0.997961i | \(-0.479670\pi\) |
0.401300 | + | 0.915947i | \(0.368559\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 68.9419 | + | 57.8491i | 0.407940 | + | 0.342302i | ||||
\(170\) | −170.010 | − | 138.441i | −1.00006 | − | 0.814358i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −97.3556 | + | 20.1393i | −0.566021 | + | 0.117089i | ||||
\(173\) | 14.3748 | − | 81.5234i | 0.0830912 | − | 0.471233i | −0.914661 | − | 0.404222i | \(-0.867542\pi\) |
0.997752 | − | 0.0670117i | \(-0.0213465\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −40.4887 | + | 111.242i | −0.231364 | + | 0.635667i | ||||
\(176\) | −249.834 | + | 164.579i | −1.41951 | + | 0.935110i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −27.5803 | − | 9.58086i | −0.154946 | − | 0.0538250i | ||||
\(179\) | −46.3255 | + | 26.7460i | −0.258801 | + | 0.149419i | −0.623788 | − | 0.781594i | \(-0.714407\pi\) |
0.364986 | + | 0.931013i | \(0.381074\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 32.4491 | − | 56.2035i | 0.179277 | − | 0.310516i | −0.762356 | − | 0.647158i | \(-0.775958\pi\) |
0.941633 | + | 0.336641i | \(0.109291\pi\) | |||||||
\(182\) | 87.6413 | + | 101.377i | 0.481546 | + | 0.557015i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 39.8336 | − | 126.577i | 0.216487 | − | 0.687920i | ||||
\(185\) | −62.4333 | + | 52.3878i | −0.337477 | + | 0.283177i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 95.9068 | + | 263.502i | 0.512871 | + | 1.40910i | ||||
\(188\) | −28.6634 | + | 86.6068i | −0.152465 | + | 0.460675i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −5.63741 | − | 0.908641i | −0.0296706 | − | 0.00478232i | ||||
\(191\) | 72.7756 | + | 199.949i | 0.381024 | + | 1.04685i | 0.970926 | + | 0.239380i | \(0.0769442\pi\) |
−0.589902 | + | 0.807475i | \(0.700834\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −11.4584 | + | 9.61478i | −0.0593702 | + | 0.0498175i | −0.671990 | − | 0.740560i | \(-0.734560\pi\) |
0.612620 | + | 0.790378i | \(0.290116\pi\) | |||||||
\(194\) | 16.7574 | − | 0.246799i | 0.0863786 | − | 0.00127216i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −66.5341 | − | 107.780i | −0.339460 | − | 0.549899i | ||||
\(197\) | 34.4522 | − | 59.6729i | 0.174884 | − | 0.302908i | −0.765237 | − | 0.643749i | \(-0.777378\pi\) |
0.940121 | + | 0.340840i | \(0.110712\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −47.7506 | + | 27.5688i | −0.239953 | + | 0.138537i | −0.615155 | − | 0.788406i | \(-0.710907\pi\) |
0.375202 | + | 0.926943i | \(0.377573\pi\) | |||||||
\(200\) | −180.537 | − | 138.374i | −0.902685 | − | 0.691871i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 141.039 | − | 252.813i | 0.698213 | − | 1.25155i | ||||
\(203\) | −56.0067 | + | 153.877i | −0.275895 | + | 0.758015i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −76.7841 | + | 435.464i | −0.374557 | + | 2.12422i | ||||
\(206\) | 2.59334 | + | 6.81133i | 0.0125890 | + | 0.0330647i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −236.361 | + | 102.161i | −1.13635 | + | 0.491157i | ||||
\(209\) | 5.59457 | + | 4.69440i | 0.0267683 | + | 0.0224612i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 162.329 | − | 28.6229i | 0.769331 | − | 0.135654i | 0.224812 | − | 0.974402i | \(-0.427823\pi\) |
0.544519 | + | 0.838748i | \(0.316712\pi\) | |||||||
\(212\) | 190.418 | − | 75.7285i | 0.898197 | − | 0.357210i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −232.807 | + | 44.5947i | −1.08788 | + | 0.208387i | ||||
\(215\) | 181.680i | 0.845021i | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −90.7415 | −0.418164 | ||||||||
\(218\) | 78.6521 | + | 410.604i | 0.360789 | + | 1.88351i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 202.038 | + | 508.020i | 0.918354 | + | 2.30918i | ||||
\(221\) | 41.9098 | + | 237.683i | 0.189637 | + | 1.07549i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −245.531 | + | 292.613i | −1.10104 | + | 1.31217i | −0.155071 | + | 0.987903i | \(0.549561\pi\) |
−0.945967 | + | 0.324262i | \(0.894884\pi\) | |||||||
\(224\) | −129.149 | + | 32.7250i | −0.576559 | + | 0.146094i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 208.207 | − | 79.2725i | 0.921270 | − | 0.350763i | ||||
\(227\) | 157.728 | + | 27.8117i | 0.694838 | + | 0.122519i | 0.509903 | − | 0.860232i | \(-0.329681\pi\) |
0.184935 | + | 0.982751i | \(0.440792\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 219.275 | + | 79.8096i | 0.957533 | + | 0.348513i | 0.773066 | − | 0.634325i | \(-0.218722\pi\) |
0.184466 | + | 0.982839i | \(0.440944\pi\) | |||||||
\(230\) | −211.772 | − | 118.143i | −0.920748 | − | 0.513666i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −249.731 | − | 191.409i | −1.07643 | − | 0.825037i | ||||
\(233\) | −213.934 | − | 370.545i | −0.918172 | − | 1.59032i | −0.802190 | − | 0.597069i | \(-0.796332\pi\) |
−0.115982 | − | 0.993251i | \(-0.537002\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 144.377 | + | 83.3563i | 0.614372 | + | 0.354708i | ||||
\(236\) | 284.755 | − | 175.783i | 1.20659 | − | 0.744843i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 1.83895 | + | 124.864i | 0.00772669 | + | 0.524637i | ||||
\(239\) | −29.7397 | − | 35.4424i | −0.124434 | − | 0.148295i | 0.700231 | − | 0.713917i | \(-0.253081\pi\) |
−0.824665 | + | 0.565622i | \(0.808636\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −240.056 | + | 87.3733i | −0.996083 | + | 0.362545i | −0.788073 | − | 0.615582i | \(-0.788921\pi\) |
−0.208010 | + | 0.978127i | \(0.566699\pi\) | |||||||
\(242\) | 72.7600 | − | 451.419i | 0.300661 | − | 1.86537i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −94.3115 | − | 31.2133i | −0.386523 | − | 0.127923i | ||||
\(245\) | −217.510 | + | 79.1672i | −0.887797 | + | 0.323132i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 4.04043 | + | 4.81520i | 0.0163580 | + | 0.0194947i | ||||
\(248\) | 52.3395 | − | 166.317i | 0.211046 | − | 0.670632i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −37.9712 | + | 32.8265i | −0.151885 | + | 0.131306i | ||||
\(251\) | −411.736 | − | 237.716i | −1.64038 | − | 0.947076i | −0.980697 | − | 0.195535i | \(-0.937356\pi\) |
−0.659687 | − | 0.751541i | \(-0.729311\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 155.075 | + | 268.598i | 0.612944 | + | 1.06165i | ||||
\(254\) | 7.01290 | − | 20.1880i | 0.0276098 | − | 0.0794801i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 14.5125 | − | 255.588i | 0.0566895 | − | 0.998392i | ||||
\(257\) | 43.3069 | + | 15.7624i | 0.168509 | + | 0.0613323i | 0.424897 | − | 0.905242i | \(-0.360310\pi\) |
−0.256388 | + | 0.966574i | \(0.582532\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 45.7154 | + | 8.06085i | 0.176507 | + | 0.0311230i | ||||
\(260\) | 95.3231 | + | 460.802i | 0.366627 | + | 1.77232i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 80.6638 | − | 99.0580i | 0.307877 | − | 0.378084i | ||||
\(263\) | −102.839 | + | 122.559i | −0.391025 | + | 0.466005i | −0.925261 | − | 0.379330i | \(-0.876155\pi\) |
0.534237 | + | 0.845335i | \(0.320599\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −65.0292 | − | 368.799i | −0.245393 | − | 1.39169i | ||||
\(266\) | 1.66748 | + | 2.79236i | 0.00626871 | + | 0.0104976i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −6.19492 | − | 210.270i | −0.0231154 | − | 0.784588i | ||||
\(269\) | −408.125 | −1.51719 | −0.758597 | − | 0.651560i | \(-0.774115\pi\) | ||||
−0.758597 | + | 0.651560i | \(0.774115\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 9.23489i | 0.0340771i | 0.999855 | + | 0.0170385i | \(0.00542380\pi\) | ||||
−0.999855 | + | 0.0170385i | \(0.994576\pi\) | |||||||
\(272\) | −229.918 | − | 68.6505i | −0.845288 | − | 0.252391i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −196.177 | − | 328.519i | −0.715974 | − | 1.19897i | ||||
\(275\) | 523.574 | − | 92.3203i | 1.90391 | − | 0.335710i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 59.9164 | + | 50.2758i | 0.216305 | + | 0.181501i | 0.744502 | − | 0.667621i | \(-0.232687\pi\) |
−0.528197 | + | 0.849122i | \(0.677132\pi\) | |||||||
\(278\) | −175.075 | + | 214.998i | −0.629765 | + | 0.773373i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 10.7531 | + | 243.235i | 0.0384039 | + | 0.868697i | ||||
\(281\) | 84.5660 | − | 479.598i | 0.300947 | − | 1.70675i | −0.341049 | − | 0.940046i | \(-0.610782\pi\) |
0.641996 | − | 0.766708i | \(-0.278107\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −72.9296 | + | 200.373i | −0.257702 | + | 0.708030i | 0.741606 | + | 0.670836i | \(0.234064\pi\) |
−0.999308 | + | 0.0371946i | \(0.988158\pi\) | |||||||
\(284\) | 216.430 | − | 273.925i | 0.762077 | − | 0.964526i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 197.489 | − | 568.510i | 0.690521 | − | 1.98780i | ||||
\(287\) | 218.112 | − | 125.927i | 0.759973 | − | 0.438771i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 32.0482 | − | 55.5091i | 0.110893 | − | 0.192073i | ||||
\(290\) | −434.987 | + | 376.051i | −1.49995 | + | 1.29673i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −20.6959 | + | 141.650i | −0.0708765 | + | 0.485103i | ||||
\(293\) | 125.729 | − | 105.500i | 0.429111 | − | 0.360067i | −0.402505 | − | 0.915418i | \(-0.631861\pi\) |
0.831616 | + | 0.555351i | \(0.187416\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −209.160 | − | 574.661i | −0.709016 | − | 1.94800i | ||||
\(296\) | −41.1430 | + | 79.1405i | −0.138996 | + | 0.267367i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −19.0653 | + | 118.285i | −0.0639775 | + | 0.396930i | ||||
\(299\) | 91.3000 | + | 250.845i | 0.305351 | + | 0.838946i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 79.2699 | − | 66.5153i | 0.263355 | − | 0.220981i | ||||
\(302\) | −2.08704 | − | 141.709i | −0.00691074 | − | 0.469234i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −6.07982 | + | 1.44562i | −0.0199994 | + | 0.00475534i | ||||
\(305\) | −90.7718 | + | 157.221i | −0.297613 | + | 0.515480i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −277.852 | + | 160.418i | −0.905056 | + | 0.522534i | −0.878837 | − | 0.477122i | \(-0.841680\pi\) |
−0.0262186 | + | 0.999656i | \(0.508347\pi\) | |||||||
\(308\) | 147.689 | − | 274.146i | 0.479510 | − | 0.890083i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −278.258 | − | 155.235i | −0.897608 | − | 0.500756i | ||||
\(311\) | 141.775 | − | 389.525i | 0.455870 | − | 1.25249i | −0.472664 | − | 0.881243i | \(-0.656708\pi\) |
0.928533 | − | 0.371249i | \(-0.121070\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 11.8062 | − | 66.9560i | 0.0377193 | − | 0.213917i | −0.960123 | − | 0.279579i | \(-0.909805\pi\) |
0.997842 | + | 0.0656625i | \(0.0209161\pi\) | |||||||
\(314\) | −128.124 | + | 48.7819i | −0.408039 | + | 0.155356i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 27.9687 | + | 31.4051i | 0.0885085 | + | 0.0993832i | ||||
\(317\) | 423.973 | + | 355.755i | 1.33745 | + | 1.12226i | 0.982273 | + | 0.187458i | \(0.0600250\pi\) |
0.355180 | + | 0.934798i | \(0.384419\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 724.244 | − | 127.704i | 2.27036 | − | 0.400325i | ||||
\(320\) | −452.019 | − | 120.589i | −1.41256 | − | 0.376839i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 25.9847 | + | 135.654i | 0.0806979 | + | 0.421284i | ||||
\(323\) | 5.85748i | 0.0181346i | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 457.588 | 1.40796 | ||||||||
\(326\) | 327.611 | − | 62.7545i | 1.00494 | − | 0.192499i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 105.001 | + | 472.405i | 0.320124 | + | 1.44026i | ||||
\(329\) | −16.4887 | − | 93.5122i | −0.0501177 | − | 0.284232i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 253.344 | − | 301.924i | 0.765390 | − | 0.912157i | −0.232786 | − | 0.972528i | \(-0.574784\pi\) |
0.998176 | + | 0.0603714i | \(0.0192285\pi\) | |||||||
\(332\) | 268.211 | + | 301.165i | 0.807864 | + | 0.907123i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −56.1303 | − | 147.425i | −0.168055 | − | 0.441391i | ||||
\(335\) | −378.584 | − | 66.7546i | −1.13010 | − | 0.199267i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −495.696 | − | 180.418i | −1.47091 | − | 0.535366i | −0.522560 | − | 0.852602i | \(-0.675023\pi\) |
−0.948347 | + | 0.317236i | \(0.897245\pi\) | |||||||
\(338\) | 87.6920 | − | 157.188i | 0.259444 | − | 0.465054i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −207.969 | + | 386.039i | −0.611674 | + | 1.13541i | ||||
\(341\) | 203.761 | + | 352.925i | 0.597540 | + | 1.03497i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 290.853 | + | 167.924i | 0.847968 | + | 0.489574i | ||||
\(344\) | 76.1908 | + | 183.657i | 0.221485 | + | 0.533886i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −165.544 | + | 2.43808i | −0.478451 | + | 0.00704648i | ||||
\(347\) | 105.358 | + | 125.560i | 0.303624 | + | 0.361845i | 0.896185 | − | 0.443681i | \(-0.146328\pi\) |
−0.592561 | + | 0.805526i | \(0.701883\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 111.453 | − | 40.5656i | 0.319350 | − | 0.116234i | −0.177371 | − | 0.984144i | \(-0.556759\pi\) |
0.496721 | + | 0.867910i | \(0.334537\pi\) | |||||||
\(350\) | 233.745 | + | 37.6752i | 0.667843 | + | 0.107643i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 417.285 | + | 428.820i | 1.18547 | + | 1.21824i | ||||
\(353\) | −405.217 | + | 147.487i | −1.14792 | + | 0.417810i | −0.844769 | − | 0.535132i | \(-0.820262\pi\) |
−0.303154 | + | 0.952941i | \(0.598040\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −410.086 | − | 488.721i | −1.15517 | − | 1.37668i | ||||
\(356\) | −8.44210 | + | 57.7806i | −0.0237138 | + | 0.162305i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 69.9674 | + | 80.9330i | 0.195440 | + | 0.226070i | ||||
\(359\) | −276.576 | − | 159.681i | −0.770407 | − | 0.444795i | 0.0626127 | − | 0.998038i | \(-0.480057\pi\) |
−0.833020 | + | 0.553243i | \(0.813390\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −180.424 | − | 312.503i | −0.499789 | − | 0.865659i | ||||
\(362\) | −122.609 | − | 42.5920i | −0.338699 | − | 0.117658i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 166.157 | − | 210.297i | 0.456475 | − | 0.577739i | ||||
\(365\) | 245.830 | + | 89.4748i | 0.673507 | + | 0.245136i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −605.049 | − | 106.686i | −1.64863 | − | 0.290699i | −0.729305 | − | 0.684188i | \(-0.760157\pi\) |
−0.919329 | + | 0.393490i | \(0.871268\pi\) | |||||||
\(368\) | −263.622 | − | 30.6183i | −0.716365 | − | 0.0832018i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 126.396 | + | 102.925i | 0.341611 | + | 0.278177i | ||||
\(371\) | −137.105 | + | 163.396i | −0.369556 | + | 0.440419i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 104.221 | + | 591.065i | 0.279412 | + | 1.58462i | 0.724589 | + | 0.689181i | \(0.242030\pi\) |
−0.445177 | + | 0.895442i | \(0.646859\pi\) | |||||||
\(374\) | 481.507 | − | 287.535i | 1.28745 | − | 0.768810i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 180.906 | + | 23.7161i | 0.481132 | + | 0.0630747i | ||||
\(377\) | 632.967 | 1.67896 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | − | 14.1542i | − | 0.0373462i | −0.999826 | − | 0.0186731i | \(-0.994056\pi\) | ||
0.999826 | − | 0.0186731i | \(-0.00594418\pi\) | |||||||
\(380\) | 0.336317 | + | 11.4154i | 0.000885046 | + | 0.0300405i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 365.375 | − | 218.186i | 0.956479 | − | 0.571167i | ||||
\(383\) | −357.007 | + | 62.9499i | −0.932133 | + | 0.164360i | −0.619037 | − | 0.785362i | \(-0.712477\pi\) |
−0.313095 | + | 0.949722i | \(0.601366\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −435.927 | − | 365.786i | −1.13228 | − | 0.950095i | ||||
\(386\) | 23.1976 | + | 18.8900i | 0.0600974 | + | 0.0489378i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −6.79000 | − | 32.8236i | −0.0175000 | − | 0.0845969i | ||||
\(389\) | 67.1581 | − | 380.873i | 0.172643 | − | 0.979107i | −0.768186 | − | 0.640226i | \(-0.778841\pi\) |
0.940829 | − | 0.338881i | \(-0.110048\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −85.0789 | + | 233.752i | −0.217593 | + | 0.597832i | ||||
\(392\) | −186.677 | + | 171.246i | −0.476217 | + | 0.436852i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −130.178 | − | 45.2212i | −0.330401 | − | 0.114775i | ||||
\(395\) | 66.5553 | − | 38.4257i | 0.168494 | − | 0.0972803i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 75.4765 | − | 130.729i | 0.190117 | − | 0.329293i | −0.755172 | − | 0.655527i | \(-0.772447\pi\) |
0.945289 | + | 0.326234i | \(0.105780\pi\) | |||||||
\(398\) | 72.1199 | + | 83.4228i | 0.181206 | + | 0.209605i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −203.877 | + | 406.692i | −0.509693 | + | 1.01673i | ||||
\(401\) | 172.496 | − | 144.741i | 0.430164 | − | 0.360951i | −0.401850 | − | 0.915706i | \(-0.631633\pi\) |
0.832014 | + | 0.554755i | \(0.187188\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 119.964 | + | 329.598i | 0.297677 | + | 0.817862i | ||||
\(404\) | −549.665 | − | 181.917i | −1.36056 | − | 0.450289i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 323.332 | + | 52.1149i | 0.796385 | + | 0.128362i | ||||
\(407\) | −71.3030 | − | 195.903i | −0.175192 | − | 0.481335i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −74.9861 | + | 62.9208i | −0.183340 | + | 0.153841i | −0.729839 | − | 0.683619i | \(-0.760405\pi\) |
0.546499 | + | 0.837460i | \(0.315960\pi\) | |||||||
\(410\) | 884.269 | − | 13.0232i | 2.15675 | − | 0.0317640i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 12.4036 | − | 7.65692i | 0.0301059 | − | 0.0185848i | ||||
\(413\) | −174.158 | + | 301.651i | −0.421691 | + | 0.730391i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 638.244 | − | 368.490i | 1.53794 | − | 0.887928i | ||||
\(416\) | 289.607 | + | 425.842i | 0.696170 | + | 1.02366i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 7.11612 | − | 12.7557i | 0.0170242 | − | 0.0305159i | ||||
\(419\) | 18.1404 | − | 49.8403i | 0.0432945 | − | 0.118951i | −0.916161 | − | 0.400810i | \(-0.868729\pi\) |
0.959456 | + | 0.281859i | \(0.0909511\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 69.5196 | − | 394.265i | 0.165130 | − | 0.936497i | −0.783801 | − | 0.621012i | \(-0.786722\pi\) |
0.948931 | − | 0.315485i | \(-0.102167\pi\) | |||||||
\(422\) | −117.302 | − | 308.091i | −0.277967 | − | 0.730073i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −220.400 | − | 345.541i | −0.519811 | − | 0.814956i | ||||
\(425\) | 326.648 | + | 274.090i | 0.768583 | + | 0.644917i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 101.831 | − | 17.9556i | 0.238481 | − | 0.0420506i | ||||
\(428\) | 175.194 | + | 440.521i | 0.409331 | + | 1.02925i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 356.871 | − | 68.3594i | 0.829932 | − | 0.158975i | ||||
\(431\) | 445.360i | 1.03332i | 0.856191 | + | 0.516659i | \(0.172825\pi\) | ||||
−0.856191 | + | 0.516659i | \(0.827175\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −52.1504 | −0.120440 | −0.0602199 | − | 0.998185i | \(-0.519180\pi\) | ||||
−0.0602199 | + | 0.998185i | \(0.519180\pi\) | |||||||
\(434\) | 34.1427 | + | 178.242i | 0.0786698 | + | 0.410697i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 776.951 | − | 308.991i | 1.78200 | − | 0.708694i | ||||
\(437\) | 1.12501 | + | 6.38022i | 0.00257438 | + | 0.0146001i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −307.416 | + | 366.365i | −0.700265 | + | 0.834543i | −0.992556 | − | 0.121786i | \(-0.961138\pi\) |
0.292291 | + | 0.956329i | \(0.405582\pi\) | |||||||
\(440\) | 921.878 | − | 588.010i | 2.09518 | − | 1.33639i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 451.108 | − | 171.754i | 1.02061 | − | 0.388584i | ||||
\(443\) | −64.2664 | − | 11.3319i | −0.145071 | − | 0.0255799i | 0.100641 | − | 0.994923i | \(-0.467911\pi\) |
−0.245712 | + | 0.969343i | \(0.579022\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 100.277 | + | 36.4978i | 0.225341 | + | 0.0820174i | ||||
\(446\) | 667.161 | + | 372.195i | 1.49588 | + | 0.834517i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 112.875 | + | 241.373i | 0.251954 | + | 0.538779i | ||||
\(449\) | 107.513 | + | 186.218i | 0.239450 | + | 0.414740i | 0.960557 | − | 0.278084i | \(-0.0896994\pi\) |
−0.721106 | + | 0.692824i | \(0.756366\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −979.548 | − | 565.542i | −2.17195 | − | 1.25397i | ||||
\(452\) | −234.055 | − | 379.151i | −0.517820 | − | 0.838830i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −4.71711 | − | 320.288i | −0.0103901 | − | 0.705481i | ||||
\(455\) | −314.830 | − | 375.199i | −0.691933 | − | 0.824614i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 731.479 | − | 266.237i | 1.60061 | − | 0.582575i | 0.621059 | − | 0.783764i | \(-0.286703\pi\) |
0.979552 | + | 0.201189i | \(0.0644806\pi\) | |||||||
\(458\) | 74.2638 | − | 460.749i | 0.162148 | − | 1.00600i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −152.385 | + | 460.434i | −0.331272 | + | 1.00094i | ||||
\(461\) | 41.6290 | − | 15.1517i | 0.0903015 | − | 0.0328670i | −0.296474 | − | 0.955041i | \(-0.595811\pi\) |
0.386776 | + | 0.922174i | \(0.373589\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −525.356 | − | 626.094i | −1.13468 | − | 1.35226i | −0.927443 | − | 0.373964i | \(-0.877998\pi\) |
−0.207234 | − | 0.978291i | \(-0.566446\pi\) | |||||||
\(464\) | −282.017 | + | 562.564i | −0.607795 | + | 1.21242i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −647.361 | + | 559.650i | −1.38919 | + | 1.20097i | ||||
\(467\) | −392.786 | − | 226.775i | −0.841084 | − | 0.485600i | 0.0165487 | − | 0.999863i | \(-0.494732\pi\) |
−0.857632 | + | 0.514263i | \(0.828065\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 109.479 | + | 189.623i | 0.233430 | + | 0.404313i | ||||
\(470\) | 109.412 | − | 314.963i | 0.232791 | − | 0.670133i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −452.431 | − | 493.200i | −0.958540 | − | 1.04492i | ||||
\(473\) | −436.702 | − | 158.947i | −0.923261 | − | 0.336039i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 10.9368 | + | 1.92846i | 0.0230249 | + | 0.00405991i | ||||
\(476\) | 244.576 | − | 50.5938i | 0.513815 | − | 0.106290i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −58.4291 | + | 71.7530i | −0.122237 | + | 0.150111i | ||||
\(479\) | 394.817 | − | 470.525i | 0.824253 | − | 0.982307i | −0.175744 | − | 0.984436i | \(-0.556233\pi\) |
0.999998 | + | 0.00212887i | \(0.000677642\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −31.1583 | − | 176.708i | −0.0647782 | − | 0.367376i | ||||
\(482\) | 261.951 | + | 438.664i | 0.543466 | + | 0.910091i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −914.093 | + | 26.9308i | −1.88862 | + | 0.0556422i | ||||
\(485\) | −61.2535 | −0.126296 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 660.590i | 1.35645i | 0.734856 | + | 0.678224i | \(0.237250\pi\) | ||||
−0.734856 | + | 0.678224i | \(0.762750\pi\) | |||||||
\(488\) | −25.8259 | + | 196.999i | −0.0529220 | + | 0.403687i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 237.348 | + | 397.465i | 0.484384 | + | 0.811153i | ||||
\(491\) | −711.257 | + | 125.414i | −1.44859 | + | 0.255425i | −0.841952 | − | 0.539553i | \(-0.818593\pi\) |
−0.606638 | + | 0.794978i | \(0.707482\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 451.841 | + | 379.140i | 0.916514 | + | 0.769047i | ||||
\(494\) | 7.93817 | − | 9.74835i | 0.0160692 | − | 0.0197335i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −346.387 | − | 40.2310i | −0.698361 | − | 0.0811108i | ||||
\(497\) | −63.0995 | + | 357.855i | −0.126961 | + | 0.720030i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −79.8454 | + | 219.374i | −0.160011 | + | 0.439626i | −0.993627 | − | 0.112718i | \(-0.964044\pi\) |
0.833616 | + | 0.552344i | \(0.186267\pi\) | |||||||
\(500\) | 78.7679 | + | 62.2350i | 0.157536 | + | 0.124470i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −312.021 | + | 898.212i | −0.621557 | + | 1.78927i | ||||
\(503\) | 225.781 | − | 130.355i | 0.448870 | − | 0.259155i | −0.258483 | − | 0.966016i | \(-0.583223\pi\) |
0.707353 | + | 0.706861i | \(0.249889\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −529.035 | + | 916.315i | −1.04759 | + | 1.81449i | ||||
\(506\) | 469.254 | − | 405.675i | 0.927379 | − | 0.801729i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −42.2936 | − | 6.17936i | −0.0832552 | − | 0.0121641i | ||||
\(509\) | −590.919 | + | 495.840i | −1.16094 | + | 0.974145i | −0.999918 | − | 0.0128062i | \(-0.995924\pi\) |
−0.161022 | + | 0.986951i | \(0.551479\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −50.9623 | − | 140.018i | −0.0997306 | − | 0.274008i | ||||
\(512\) | −507.509 | + | 67.6618i | −0.991229 | + | 0.132152i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 14.6671 | − | 90.9980i | 0.0285352 | − | 0.177039i | ||||
\(515\) | −9.11078 | − | 25.0316i | −0.0176908 | − | 0.0486051i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −326.675 | + | 274.113i | −0.631867 | + | 0.530199i | ||||
\(518\) | −1.36719 | − | 92.8311i | −0.00263936 | − | 0.179211i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 869.282 | − | 360.625i | 1.67170 | − | 0.693510i | ||||
\(521\) | 213.733 | − | 370.196i | 0.410236 | − | 0.710550i | −0.584679 | − | 0.811264i | \(-0.698780\pi\) |
0.994915 | + | 0.100715i | \(0.0321130\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 699.824 | − | 404.044i | 1.33810 | − | 0.772550i | 0.351571 | − | 0.936161i | \(-0.385648\pi\) |
0.986525 | + | 0.163611i | \(0.0523143\pi\) | |||||||
\(524\) | −224.929 | − | 121.175i | −0.429254 | − | 0.231250i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 279.436 | + | 155.892i | 0.531248 | + | 0.296372i | ||||
\(527\) | −111.790 | + | 307.139i | −0.212125 | + | 0.582807i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 44.0835 | − | 250.010i | 0.0833336 | − | 0.472608i | ||||
\(530\) | −699.959 | + | 266.502i | −1.32068 | + | 0.502833i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 4.85760 | − | 4.32607i | 0.00913082 | − | 0.00813170i | ||||
\(533\) | −745.756 | − | 625.764i | −1.39917 | − | 1.17404i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 853.196 | − | 150.441i | 1.59476 | − | 0.281199i | ||||
\(536\) | −410.699 | + | 91.2854i | −0.766230 | + | 0.170309i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 153.563 | + | 801.675i | 0.285432 | + | 1.49010i | ||||
\(539\) | − | 592.090i | − | 1.09850i | ||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −374.121 | −0.691535 | −0.345768 | − | 0.938320i | \(-0.612381\pi\) | ||||
−0.345768 | + | 0.938320i | \(0.612381\pi\) | |||||||
\(542\) | 18.1400 | − | 3.47475i | 0.0334686 | − | 0.00641098i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −48.3394 | + | 477.456i | −0.0888592 | + | 0.877677i | ||||
\(545\) | −265.335 | − | 1504.79i | −0.486853 | − | 2.76108i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 630.498 | − | 751.399i | 1.15265 | − | 1.37367i | 0.237089 | − | 0.971488i | \(-0.423807\pi\) |
0.915559 | − | 0.402184i | \(-0.131749\pi\) | |||||||
\(548\) | −571.491 | + | 508.957i | −1.04287 | + | 0.928754i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −378.346 | − | 993.714i | −0.687901 | − | 1.80675i | ||||
\(551\) | 15.1286 | + | 2.66758i | 0.0274566 | + | 0.00484134i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −41.1326 | − | 14.9710i | −0.0743808 | − | 0.0270724i | ||||
\(554\) | 76.2119 | − | 136.610i | 0.137567 | − | 0.246589i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 488.192 | + | 263.001i | 0.878043 | + | 0.473023i | ||||
\(557\) | 37.0277 | + | 64.1338i | 0.0664770 | + | 0.115141i | 0.897348 | − | 0.441323i | \(-0.145491\pi\) |
−0.830871 | + | 0.556465i | \(0.812157\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −346.400 | − | 199.994i | −0.619678 | − | 0.357771i | ||||
\(560\) | 473.738 | − | 112.643i | 0.845961 | − | 0.201148i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −973.887 | + | 14.3431i | −1.73290 | + | 0.0255216i | ||||
\(563\) | 394.263 | + | 469.864i | 0.700290 | + | 0.834573i | 0.992559 | − | 0.121763i | \(-0.0388549\pi\) |
−0.292270 | + | 0.956336i | \(0.594410\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −765.161 | + | 278.496i | −1.35427 | + | 0.492913i | ||||
\(566\) | 421.030 | + | 67.8619i | 0.743869 | + | 0.119897i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −619.503 | − | 322.063i | −1.09067 | − | 0.567012i | ||||
\(569\) | −128.189 | + | 46.6569i | −0.225288 | + | 0.0819980i | −0.452198 | − | 0.891918i | \(-0.649360\pi\) |
0.226910 | + | 0.973916i | \(0.427138\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 28.1385 | + | 33.5342i | 0.0492794 | + | 0.0587289i | 0.790121 | − | 0.612951i | \(-0.210018\pi\) |
−0.740842 | + | 0.671680i | \(0.765573\pi\) | |||||||
\(572\) | −1191.02 | − | 174.016i | −2.08221 | − | 0.304224i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −329.425 | − | 381.054i | −0.573911 | − | 0.663856i | ||||
\(575\) | 408.441 | + | 235.814i | 0.710333 | + | 0.410111i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −73.2045 | − | 126.794i | −0.126871 | − | 0.219747i | 0.795592 | − | 0.605833i | \(-0.207160\pi\) |
−0.922463 | + | 0.386086i | \(0.873827\pi\) | |||||||
\(578\) | −121.094 | − | 42.0658i | −0.209506 | − | 0.0727782i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 902.342 | + | 712.945i | 1.55576 | + | 1.22922i | ||||
\(581\) | −394.448 | − | 143.567i | −0.678913 | − | 0.247104i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 943.372 | + | 166.342i | 1.61813 | + | 0.285321i | ||||
\(584\) | 286.028 | − | 12.6449i | 0.489775 | − | 0.0216523i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −254.539 | − | 207.273i | −0.434367 | − | 0.353708i | ||||
\(587\) | −439.369 | + | 523.619i | −0.748499 | + | 0.892026i | −0.997063 | − | 0.0765892i | \(-0.975597\pi\) |
0.248564 | + | 0.968616i | \(0.420041\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 1.47820 | + | 8.38331i | 0.00250969 | + | 0.0142331i | ||||
\(590\) | −1050.10 | + | 627.074i | −1.77983 | + | 1.06284i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 170.935 | + | 51.0389i | 0.288742 | + | 0.0862144i | ||||
\(593\) | 339.967 | 0.573301 | 0.286650 | − | 0.958035i | \(-0.407458\pi\) | ||||
0.286650 | + | 0.958035i | \(0.407458\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | − | 456.414i | − | 0.767082i | ||||||
\(596\) | 239.520 | − | 7.05668i | 0.401879 | − | 0.0118401i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 458.378 | − | 273.723i | 0.766519 | − | 0.457731i | ||||
\(599\) | 113.226 | − | 19.9649i | 0.189026 | − | 0.0333303i | −0.0783338 | − | 0.996927i | \(-0.524960\pi\) |
0.267359 | + | 0.963597i | \(0.413849\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −41.4690 | − | 34.7966i | −0.0689999 | − | 0.0578978i | 0.607635 | − | 0.794216i | \(-0.292118\pi\) |
−0.676635 | + | 0.736318i | \(0.736563\pi\) | |||||||
\(602\) | −160.482 | − | 130.682i | −0.266581 | − | 0.217079i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −277.571 | + | 57.4194i | −0.459555 | + | 0.0950652i | ||||
\(605\) | −290.199 | + | 1645.80i | −0.479667 | + | 2.72033i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −221.274 | + | 607.945i | −0.364537 | + | 1.00156i | 0.612869 | + | 0.790185i | \(0.290015\pi\) |
−0.977406 | + | 0.211372i | \(0.932207\pi\) | |||||||
\(608\) | 5.12723 | + | 11.3986i | 0.00843295 | + | 0.0187477i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 342.982 | + | 119.145i | 0.562266 | + | 0.195320i | ||||
\(611\) | −317.864 | + | 183.519i | −0.520235 | + | 0.300358i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 107.603 | − | 186.374i | 0.175535 | − | 0.304035i | −0.764811 | − | 0.644254i | \(-0.777168\pi\) |
0.940346 | + | 0.340219i | \(0.110501\pi\) | |||||||
\(614\) | 419.653 | + | 485.422i | 0.683473 | + | 0.790590i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −594.071 | − | 186.953i | −0.964401 | − | 0.303495i | ||||
\(617\) | 246.443 | − | 206.791i | 0.399422 | − | 0.335155i | −0.420848 | − | 0.907131i | \(-0.638267\pi\) |
0.820270 | + | 0.571976i | \(0.193823\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −129.813 | − | 356.659i | −0.209715 | − | 0.576186i | 0.789584 | − | 0.613643i | \(-0.210297\pi\) |
−0.999298 | + | 0.0374568i | \(0.988074\pi\) | |||||||
\(620\) | −200.227 | + | 604.989i | −0.322946 | + | 0.975788i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −818.484 | − | 131.924i | −1.31589 | − | 0.212096i | ||||
\(623\) | −20.7881 | − | 57.1148i | −0.0333677 | − | 0.0916771i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −403.996 | + | 338.993i | −0.646394 | + | 0.542389i | ||||
\(626\) | −135.963 | + | 2.00242i | −0.217193 | + | 0.00319876i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 144.030 | + | 233.318i | 0.229348 | + | 0.371526i | ||||
\(629\) | 83.6035 | − | 144.806i | 0.132915 | − | 0.230216i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −789.534 | + | 455.838i | −1.25124 | + | 0.722405i | −0.971356 | − | 0.237628i | \(-0.923630\pi\) |
−0.279887 | + | 0.960033i | \(0.590297\pi\) | |||||||
\(632\) | 51.1651 | − | 66.7551i | 0.0809574 | − | 0.105625i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 539.280 | − | 966.662i | 0.850600 | − | 1.52470i | ||||
\(635\) | −26.7153 | + | 73.3996i | −0.0420713 | + | 0.115590i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 88.4923 | − | 501.865i | 0.138920 | − | 0.787857i | ||||
\(638\) | −523.353 | − | 1374.57i | −0.820303 | − | 2.15450i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −66.7925 | + | 933.268i | −0.104363 | + | 1.45823i | ||||
\(641\) | −415.837 | − | 348.929i | −0.648732 | − | 0.544351i | 0.257954 | − | 0.966157i | \(-0.416952\pi\) |
−0.906686 | + | 0.421807i | \(0.861396\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −330.645 | + | 58.3017i | −0.514223 | + | 0.0906714i | −0.424737 | − | 0.905317i | \(-0.639633\pi\) |
−0.0894857 | + | 0.995988i | \(0.528522\pi\) | |||||||
\(644\) | 256.686 | − | 102.083i | 0.398580 | − | 0.158514i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 11.5058 | − | 2.20396i | 0.0178108 | − | 0.00341170i | ||||
\(647\) | 1.27262i | 0.00196696i | 1.00000 | 0.000983479i | \(0.000313051\pi\) | |||||
−1.00000 | 0.000983479i | \(0.999687\pi\) | ||||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 1564.30 | 2.41032 | ||||||||
\(650\) | −172.174 | − | 898.835i | −0.264883 | − | 1.38282i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −246.536 | − | 619.910i | −0.378123 | − | 0.950782i | ||||
\(653\) | 67.8083 | + | 384.560i | 0.103841 | + | 0.588913i | 0.991677 | + | 0.128752i | \(0.0410972\pi\) |
−0.887836 | + | 0.460161i | \(0.847792\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −300.118 | + | 357.667i | −0.458196 | + | 0.546056i | ||||
\(656\) | 888.430 | − | 384.000i | 1.35431 | − | 0.585366i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −177.481 | + | 67.5738i | −0.269728 | + | 0.102696i | ||||
\(659\) | 226.021 | + | 39.8536i | 0.342975 | + | 0.0604758i | 0.342483 | − | 0.939524i | \(-0.388732\pi\) |
0.000492450 | 1.00000i | \(0.499843\pi\) | ||||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 128.136 | + | 46.6376i | 0.193851 | + | 0.0705561i | 0.437121 | − | 0.899402i | \(-0.355998\pi\) |
−0.243270 | + | 0.969959i | \(0.578220\pi\) | |||||||
\(662\) | −688.389 | − | 384.038i | −1.03986 | − | 0.580118i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 490.656 | − | 640.160i | 0.738940 | − | 0.964097i | ||||
\(665\) | −5.94351 | − | 10.2945i | −0.00893761 | − | 0.0154804i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 564.984 | + | 326.194i | 0.847052 | + | 0.489046i | ||||
\(668\) | −268.465 | + | 165.727i | −0.401893 | + | 0.248094i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 11.3221 | + | 768.766i | 0.0168987 | + | 1.14741i | ||||
\(671\) | −298.499 | − | 355.737i | −0.444856 | − | 0.530159i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −353.816 | + | 128.779i | −0.525730 | + | 0.191350i | −0.591231 | − | 0.806502i | \(-0.701358\pi\) |
0.0655006 | + | 0.997853i | \(0.479136\pi\) | |||||||
\(674\) | −167.882 | + | 1041.57i | −0.249082 | + | 1.54536i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −341.758 | − | 113.108i | −0.505559 | − | 0.167320i | ||||
\(677\) | −458.210 | + | 166.775i | −0.676824 | + | 0.246344i | −0.657483 | − | 0.753469i | \(-0.728379\pi\) |
−0.0193408 | + | 0.999813i | \(0.506157\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 22.4257 | + | 26.7260i | 0.0330276 | + | 0.0393608i | ||||
\(680\) | 836.544 | + | 263.258i | 1.23021 | + | 0.387145i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 616.577 | − | 533.038i | 0.904073 | − | 0.781581i | ||||
\(683\) | 1052.67 | + | 607.762i | 1.54125 | + | 0.889842i | 0.998760 | + | 0.0497805i | \(0.0158522\pi\) |
0.542491 | + | 0.840061i | \(0.317481\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 699.248 | + | 1211.13i | 1.02080 | + | 1.76808i | ||||
\(686\) | 220.414 | − | 634.502i | 0.321303 | − | 0.924931i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 332.087 | − | 218.764i | 0.482684 | − | 0.317971i | ||||
\(689\) | 774.757 | + | 281.988i | 1.12447 | + | 0.409272i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 72.6934 | + | 12.8178i | 0.105200 | + | 0.0185496i | 0.226000 | − | 0.974127i | \(-0.427435\pi\) |
−0.120800 | + | 0.992677i | \(0.538546\pi\) | |||||||
\(692\) | 67.0773 | + | 324.259i | 0.0969325 | + | 0.468582i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 206.994 | − | 254.196i | 0.298263 | − | 0.366277i | ||||
\(695\) | 651.383 | − | 776.288i | 0.937242 | − | 1.11696i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −157.530 | − | 893.398i | −0.226012 | − | 1.28178i | ||||
\(698\) | −121.618 | − | 203.663i | −0.174238 | − | 0.291780i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −13.9448 | − | 473.318i | −0.0199211 | − | 0.676169i | ||||
\(701\) | 807.939 | 1.15255 | 0.576276 | − | 0.817255i | \(-0.304505\pi\) | ||||
0.576276 | + | 0.817255i | \(0.304505\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | − | 4.35481i | − | 0.00619461i | ||||||
\(704\) | 685.318 | − | 981.016i | 0.973463 | − | 1.39349i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 442.175 | + | 740.469i | 0.626310 | + | 1.04882i | ||||
\(707\) | 593.491 | − | 104.649i | 0.839450 | − | 0.148018i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −375.128 | − | 314.770i | −0.529094 | − | 0.443963i | 0.338694 | − | 0.940896i | \(-0.390015\pi\) |
−0.867788 | + | 0.496934i | \(0.834459\pi\) | |||||||
\(710\) | −805.688 | + | 989.414i | −1.13477 | + | 1.39354i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 116.674 | − | 5.15801i | 0.163868 | − | 0.00724439i | ||||
\(713\) | −62.7760 | + | 356.020i | −0.0880449 | + | 0.499327i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −752.324 | + | 2066.99i | −1.05220 | + | 2.89090i | ||||
\(716\) | 132.649 | − | 167.888i | 0.185265 | − | 0.234481i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −209.595 | + | 603.357i | −0.291914 | + | 0.840331i | ||||
\(719\) | −370.164 | + | 213.715i | −0.514832 | + | 0.297239i | −0.734818 | − | 0.678265i | \(-0.762732\pi\) |
0.219985 | + | 0.975503i | \(0.429399\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −7.58616 | + | 13.1396i | −0.0105217 | + | 0.0182242i | ||||
\(722\) | −545.959 | + | 471.988i | −0.756176 | + | 0.653722i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −37.5296 | + | 256.865i | −0.0518365 | + | 0.354787i | ||||
\(725\) | 856.673 | − | 718.834i | 1.18162 | − | 0.991495i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 405.970 | + | 1115.39i | 0.558418 | + | 1.53424i | 0.821932 | + | 0.569585i | \(0.192896\pi\) |
−0.263514 | + | 0.964656i | \(0.584882\pi\) | |||||||
\(728\) | −475.603 | − | 247.253i | −0.653301 | − | 0.339633i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 83.2574 | − | 516.547i | 0.114051 | − | 0.707599i | ||||
\(731\) | −127.482 | − | 350.255i | −0.174394 | − | 0.479145i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −714.992 | + | 599.950i | −0.975432 | + | 0.818485i | −0.983394 | − | 0.181483i | \(-0.941910\pi\) |
0.00796157 | + | 0.999968i | \(0.497466\pi\) | |||||||
\(734\) | 18.0949 | + | 1228.63i | 0.0246525 | + | 1.67389i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 39.0483 | + | 529.350i | 0.0530548 | + | 0.719226i | ||||
\(737\) | 491.671 | − | 851.599i | 0.667125 | − | 1.15549i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −168.234 | + | 97.1298i | −0.227651 | + | 0.131434i | −0.609488 | − | 0.792795i | \(-0.708625\pi\) |
0.381837 | + | 0.924230i | \(0.375292\pi\) | |||||||
\(740\) | 154.617 | − | 287.005i | 0.208942 | − | 0.387845i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 372.544 | + | 207.834i | 0.502080 | + | 0.280100i | ||||
\(743\) | −237.223 | + | 651.765i | −0.319277 | + | 0.877207i | 0.671414 | + | 0.741082i | \(0.265687\pi\) |
−0.990692 | + | 0.136125i | \(0.956535\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 76.0407 | − | 431.248i | 0.102068 | − | 0.578857i | ||||
\(746\) | 1121.81 | − | 427.115i | 1.50376 | − | 0.572541i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −745.975 | − | 837.630i | −0.997292 | − | 1.11983i | ||||
\(749\) | −378.007 | − | 317.185i | −0.504682 | − | 0.423479i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −826.362 | + | 145.710i | −1.10035 | + | 0.194021i | −0.694198 | − | 0.719785i | \(-0.744241\pi\) |
−0.406152 | + | 0.913806i | \(0.633129\pi\) | |||||||
\(752\) | −21.4830 | − | 364.274i | −0.0285678 | − | 0.484407i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −238.163 | − | 1243.33i | −0.315865 | − | 1.64898i | ||||
\(755\) | 517.988i | 0.686077i | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −851.184 | −1.12442 | −0.562209 | − | 0.826995i | \(-0.690048\pi\) | ||||
−0.562209 | + | 0.826995i | \(0.690048\pi\) | |||||||
\(758\) | −27.8029 | + | 5.32571i | −0.0366793 | + | 0.00702600i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 22.2965 | − | 4.95581i | 0.0293376 | − | 0.00652081i | ||||
\(761\) | 110.424 | + | 626.247i | 0.145104 | + | 0.822926i | 0.967284 | + | 0.253698i | \(0.0816468\pi\) |
−0.822179 | + | 0.569228i | \(0.807242\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −559.423 | + | 666.694i | −0.733188 | + | 0.873780i | ||||
\(764\) | −566.057 | − | 635.606i | −0.740912 | − | 0.831946i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 257.980 | + | 677.578i | 0.336789 | + | 0.884567i | ||||
\(767\) | 1325.93 | + | 233.796i | 1.72872 | + | 0.304819i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −233.035 | − | 84.8179i | −0.303037 | − | 0.110296i | 0.186026 | − | 0.982545i | \(-0.440439\pi\) |
−0.489063 | + | 0.872248i | \(0.662661\pi\) | |||||||
\(770\) | −554.486 | + | 993.919i | −0.720112 | + | 1.29080i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 28.3770 | − | 52.6744i | 0.0367578 | − | 0.0682310i | ||||
\(773\) | 346.850 | + | 600.761i | 0.448706 | + | 0.777181i | 0.998302 | − | 0.0582491i | \(-0.0185518\pi\) |
−0.549596 | + | 0.835430i | \(0.685218\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 536.673 | + | 309.848i | 0.692481 | + | 0.399804i | ||||
\(776\) | −61.9201 | + | 25.6878i | −0.0797940 | + | 0.0331029i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −773.413 | + | 11.3906i | −0.994104 | + | 0.0146409i | ||||
\(779\) | −15.1871 | − | 18.0993i | −0.0194957 | − | 0.0232340i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 1533.51 | − | 558.152i | 1.96352 | − | 0.714663i | ||||
\(782\) | 491.169 | + | 79.1669i | 0.628093 | + | 0.101236i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 406.616 | + | 302.254i | 0.518643 | + | 0.385528i | ||||
\(785\) | 470.857 | − | 171.378i | 0.599818 | − | 0.218316i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −140.899 | − | 167.917i | −0.179033 | − | 0.213363i | 0.669063 | − | 0.743205i | \(-0.266695\pi\) |
−0.848096 | + | 0.529843i | \(0.822251\pi\) | |||||||
\(788\) | −39.8463 | + | 272.722i | −0.0505664 | + | 0.346094i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −100.521 | − | 116.276i | −0.127242 | − | 0.147184i | ||||
\(791\) | 401.648 | + | 231.892i | 0.507773 | + | 0.293163i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −199.845 | − | 346.141i | −0.252011 | − | 0.436496i | ||||
\(794\) | −285.189 | − | 99.0690i | −0.359180 | − | 0.124772i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 136.730 | − | 173.053i | 0.171772 | − | 0.217404i | ||||
\(797\) | −416.664 | − | 151.653i | −0.522791 | − | 0.190280i | 0.0671257 | − | 0.997745i | \(-0.478617\pi\) |
−0.589917 | + | 0.807464i | \(0.700839\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −336.831 | − | 59.3924i | −0.421566 | − | 0.0743334i | ||||
\(800\) | 875.571 | + | 247.450i | 1.09446 | + | 0.309313i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −349.217 | − | 284.371i | −0.435433 | − | 0.354577i | ||||
\(803\) | −430.140 | + | 512.621i | −0.535667 | + | 0.638383i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −87.6602 | − | 497.146i | −0.108895 | − | 0.617572i | ||||
\(806\) | 602.288 | − | 359.660i | 0.747255 | − | 0.446228i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −150.518 | + | 1148.15i | −0.186285 | + | 1.42098i | ||||
\(809\) | −244.622 | −0.302376 | −0.151188 | − | 0.988505i | \(-0.548310\pi\) | ||||
−0.151188 | + | 0.988505i | \(0.548310\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | − | 1469.40i | − | 1.81184i | −0.423453 | − | 0.905918i | \(-0.639182\pi\) | ||
0.423453 | − | 0.905918i | \(-0.360818\pi\) | |||||||
\(812\) | −19.2894 | − | 654.726i | −0.0237554 | − | 0.806313i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −357.982 | + | 213.771i | −0.439781 | + | 0.262618i | ||||
\(815\) | −1200.63 | + | 211.704i | −1.47317 | + | 0.259760i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −7.43647 | − | 6.23994i | −0.00910216 | − | 0.00763762i | ||||
\(818\) | 151.809 | + | 123.619i | 0.185586 | + | 0.151124i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −358.299 | − | 1732.06i | −0.436950 | − | 2.11227i | ||||
\(821\) | −29.3718 | + | 166.576i | −0.0357757 | + | 0.202894i | −0.997457 | − | 0.0712774i | \(-0.977292\pi\) |
0.961681 | + | 0.274171i | \(0.0884036\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 307.283 | − | 844.254i | 0.373370 | − | 1.02583i | −0.600680 | − | 0.799490i | \(-0.705103\pi\) |
0.974049 | − | 0.226335i | \(-0.0726745\pi\) | |||||||
\(824\) | −19.7074 | − | 21.4833i | −0.0239168 | − | 0.0260720i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 658.059 | + | 228.597i | 0.796682 | + | 0.276752i | ||||
\(827\) | 1161.59 | − | 670.645i | 1.40459 | − | 0.810938i | 0.409726 | − | 0.912209i | \(-0.365624\pi\) |
0.994859 | + | 0.101271i | \(0.0322909\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 557.477 | − | 965.578i | 0.672469 | − | 1.16475i | −0.304733 | − | 0.952438i | \(-0.598567\pi\) |
0.977202 | − | 0.212313i | \(-0.0680995\pi\) | |||||||
\(830\) | −963.969 | − | 1115.05i | −1.16141 | − | 1.34343i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 727.507 | − | 729.100i | 0.874408 | − | 0.876322i | ||||
\(833\) | 363.781 | − | 305.248i | 0.436712 | − | 0.366445i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 197.194 | + | 541.786i | 0.236160 | + | 0.648845i | ||||
\(836\) | −27.7333 | − | 9.17861i | −0.0331738 | − | 0.0109792i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −104.726 | − | 16.8798i | −0.124972 | − | 0.0201430i | ||||
\(839\) | −152.747 | − | 419.670i | −0.182059 | − | 0.500203i | 0.814769 | − | 0.579785i | \(-0.196864\pi\) |
−0.996828 | + | 0.0795824i | \(0.974641\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 540.765 | − | 453.756i | 0.643003 | − | 0.539543i | ||||
\(842\) | −800.608 | + | 11.7911i | −0.950841 | + | 0.0140037i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −561.042 | + | 346.338i | −0.664742 | + | 0.410353i | ||||
\(845\) | −328.931 | + | 569.726i | −0.389268 | + | 0.674232i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 824.335 | − | 475.930i | 0.973241 | − | 0.561901i | ||||
\(848\) | −595.814 | + | 562.943i | −0.702611 | + | 0.663848i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 415.486 | − | 744.760i | 0.488807 | − | 0.876188i | ||||
\(851\) | 63.2528 | − | 173.786i | 0.0743276 | − | 0.204213i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −7.00887 | + | 39.7493i | −0.00821673 | + | 0.0465994i | −0.988640 | − | 0.150300i | \(-0.951976\pi\) |
0.980424 | + | 0.196899i | \(0.0630872\pi\) | |||||||
\(854\) | −73.5853 | − | 193.270i | −0.0861655 | − | 0.226311i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 799.391 | − | 509.883i | 0.933868 | − | 0.595657i | ||||
\(857\) | −166.999 | − | 140.129i | −0.194865 | − | 0.163511i | 0.540135 | − | 0.841579i | \(-0.318373\pi\) |
−0.735000 | + | 0.678067i | \(0.762818\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 1612.96 | − | 284.408i | 1.87772 | − | 0.331093i | 0.886437 | − | 0.462849i | \(-0.153173\pi\) |
0.991282 | + | 0.131757i | \(0.0420618\pi\) | |||||||
\(860\) | −268.555 | − | 675.276i | −0.312273 | − | 0.785204i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 874.816 | − | 167.573i | 1.01487 | − | 0.194400i | ||||
\(863\) | − | 859.974i | − | 0.996494i | −0.867035 | − | 0.498247i | \(-0.833977\pi\) | ||
0.867035 | − | 0.498247i | \(-0.166023\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 605.113 | 0.699553 | ||||||||
\(866\) | 19.6223 | + | 102.438i | 0.0226585 | + | 0.118289i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 337.273 | − | 134.132i | 0.388563 | − | 0.154530i | ||||
\(869\) | 34.1363 | + | 193.596i | 0.0392822 | + | 0.222781i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 544.027 | − | 648.346i | 0.624600 | − | 0.744369i | ||||
\(872\) | −899.285 | − | 1409.89i | −1.03129 | − | 1.61685i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 12.1093 | − | 4.61048i | 0.0138550 | − | 0.00527515i | ||||
\(875\) | −102.902 | − | 18.1444i | −0.117602 | − | 0.0207365i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −356.422 | − | 129.727i | −0.406411 | − | 0.147921i | 0.130722 | − | 0.991419i | \(-0.458270\pi\) |
−0.537133 | + | 0.843498i | \(0.680493\pi\) | |||||||
\(878\) | 835.315 | + | 466.005i | 0.951384 | + | 0.530757i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −1501.89 | − | 1589.59i | −1.70669 | − | 1.80635i | ||||
\(881\) | 41.1847 | + | 71.3340i | 0.0467477 | + | 0.0809693i | 0.888452 | − | 0.458969i | \(-0.151781\pi\) |
−0.841705 | + | 0.539938i | \(0.818448\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −328.446 | − | 189.629i | −0.371967 | − | 0.214755i | 0.302351 | − | 0.953197i | \(-0.402229\pi\) |
−0.674317 | + | 0.738442i | \(0.735562\pi\) | |||||||
\(884\) | −507.110 | − | 821.481i | −0.573654 | − | 0.929277i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 1.92198 | + | 130.501i | 0.00216928 | + | 0.147293i | ||||
\(887\) | 257.770 | + | 307.198i | 0.290609 | + | 0.346334i | 0.891520 | − | 0.452982i | \(-0.149640\pi\) |
−0.600911 | + | 0.799316i | \(0.705195\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 41.8063 | − | 15.2163i | 0.0470262 | − | 0.0171162i | ||||
\(890\) | 33.9616 | − | 210.705i | 0.0381591 | − | 0.236747i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 480.069 | − | 1450.54i | 0.538194 | − | 1.62616i | ||||
\(893\) | −8.37069 | + | 3.04668i | −0.00937367 | + | 0.00341174i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −251.341 | − | 299.536i | −0.280827 | − | 0.334677i | ||||
\(896\) | 431.655 | − | 312.540i | 0.481758 | − | 0.348817i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 325.333 | − | 281.254i | 0.362286 | − | 0.313201i | ||||
\(899\) | 742.362 | + | 428.603i | 0.825765 | + | 0.476755i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 384.150 | + | 665.367i | 0.426359 | + | 0.738476i | ||||
\(902\) | −742.319 | + | 2136.91i | −0.822970 | + | 2.36908i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −656.696 | + | 602.412i | −0.726433 | + | 0.666385i | ||||
\(905\) | 445.784 | + | 162.252i | 0.492579 | + | 0.179284i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −131.754 | − | 23.2317i | −0.145263 | − | 0.0256138i | 0.100544 | − | 0.994933i | \(-0.467942\pi\) |
−0.245807 | + | 0.969319i | \(0.579053\pi\) | |||||||
\(908\) | −627.363 | + | 129.779i | −0.690929 | + | 0.142928i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −618.540 | + | 759.590i | −0.679715 | + | 0.834714i | ||||
\(911\) | 264.618 | − | 315.359i | 0.290469 | − | 0.346168i | −0.601000 | − | 0.799249i | \(-0.705231\pi\) |
0.891469 | + | 0.453081i | \(0.149675\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 327.356 | + | 1856.53i | 0.358550 | + | 2.03344i | ||||
\(914\) | −798.194 | − | 1336.66i | −0.873298 | − | 1.46243i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −932.985 | + | 27.4874i | −1.01854 | + | 0.0300081i | ||||
\(917\) | 265.934 | 0.290004 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 651.417i | 0.708832i | 0.935088 | + | 0.354416i | \(0.115320\pi\) | ||||
−0.935088 | + | 0.354416i | \(0.884680\pi\) | |||||||
\(920\) | 961.762 | + | 126.083i | 1.04539 | + | 0.137047i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −45.4258 | − | 76.0702i | −0.0492687 | − | 0.0825057i | ||||
\(923\) | 1383.25 | − | 243.904i | 1.49864 | − | 0.264251i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −242.850 | − | 203.775i | −0.262540 | − | 0.220297i | ||||
\(926\) | −1032.16 | + | 1267.53i | −1.11464 | + | 1.36882i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 1211.15 | + | 342.290i | 1.30512 | + | 0.368847i | ||||
\(929\) | 155.604 | − | 882.473i | 0.167496 | − | 0.949917i | −0.778958 | − | 0.627077i | \(-0.784251\pi\) |
0.946454 | − | 0.322840i | \(-0.104638\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 4.23011 | − | 11.6221i | 0.00454362 | − | 0.0124835i | ||||
\(932\) | 1342.89 | + | 1061.03i | 1.44087 | + | 1.13844i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −297.661 | + | 856.872i | −0.318694 | + | 0.917422i | ||||
\(935\) | −1775.15 | + | 1024.88i | −1.89855 | + | 1.09613i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −442.521 | + | 766.469i | −0.472275 | + | 0.818003i | −0.999497 | − | 0.0317240i | \(-0.989900\pi\) |
0.527222 | + | 0.849727i | \(0.323234\pi\) | |||||||
\(938\) | 331.280 | − | 286.396i | 0.353177 | − | 0.305326i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −659.845 | − | 96.4074i | −0.701963 | − | 0.102561i | ||||
\(941\) | −127.082 | + | 106.635i | −0.135050 | + | 0.113321i | −0.707811 | − | 0.706402i | \(-0.750317\pi\) |
0.572760 | + | 0.819723i | \(0.305873\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −343.177 | − | 942.872i | −0.363921 | − | 0.999864i | ||||
\(944\) | −798.554 | + | 1074.28i | −0.845926 | + | 1.13801i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −147.902 | + | 917.615i | −0.156344 | + | 0.969994i | ||||
\(947\) | 140.590 | + | 386.269i | 0.148459 | + | 0.407887i | 0.991524 | − | 0.129924i | \(-0.0414735\pi\) |
−0.843065 | + | 0.537811i | \(0.819251\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −441.209 | + | 370.219i | −0.464920 | + | 0.390114i | ||||
\(950\) | −0.327083 | − | 22.2087i | −0.000344298 | − | 0.0233776i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −191.406 | − | 461.381i | −0.201056 | − | 0.484644i | ||||
\(953\) | −673.325 | + | 1166.23i | −0.706532 | + | 1.22375i | 0.259604 | + | 0.965715i | \(0.416408\pi\) |
−0.966136 | + | 0.258034i | \(0.916925\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −1347.01 | + | 777.696i | −1.41048 | + | 0.814342i | ||||
\(956\) | 162.928 | + | 87.7736i | 0.170427 | + | 0.0918134i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −1072.80 | − | 598.494i | −1.11983 | − | 0.624732i | ||||
\(959\) | 272.434 | − | 748.506i | 0.284081 | − | 0.780507i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 84.3912 | − | 478.606i | 0.0878160 | − | 0.498029i | ||||
\(962\) | −335.381 | + | 127.693i | −0.348629 | + | 0.132737i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 763.099 | − | 679.599i | 0.791597 | − | 0.704979i | ||||
\(965\) | −83.7591 | − | 70.2822i | −0.0867970 | − | 0.0728313i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 714.553 | − | 125.995i | 0.738938 | − | 0.130295i | 0.208505 | − | 0.978021i | \(-0.433140\pi\) |
0.530433 | + | 0.847727i | \(0.322029\pi\) | |||||||
\(968\) | 396.840 | + | 1785.41i | 0.409958 | + | 1.84443i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 23.0475 | + | 120.320i | 0.0237603 | + | 0.124041i | ||||
\(971\) | − | 1795.99i | − | 1.84963i | −0.380419 | − | 0.924814i | \(-0.624220\pi\) | ||
0.380419 | − | 0.924814i | \(-0.375780\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −577.188 | −0.593205 | ||||||||
\(974\) | 1297.59 | − | 248.556i | 1.33223 | − | 0.255191i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 396.681 | − | 23.3942i | 0.406435 | − | 0.0239694i | ||||
\(977\) | −132.058 | − | 748.936i | −0.135166 | − | 0.766567i | −0.974744 | − | 0.223327i | \(-0.928308\pi\) |
0.839577 | − | 0.543240i | \(-0.182803\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −175.459 | + | 209.104i | −0.179223 | + | 0.213589i | ||||
\(980\) | 691.430 | − | 615.772i | 0.705540 | − | 0.628339i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 513.969 | + | 1349.93i | 0.523390 | + | 1.37467i | ||||
\(983\) | −994.218 | − | 175.308i | −1.01141 | − | 0.178339i | −0.356701 | − | 0.934219i | \(-0.616099\pi\) |
−0.654711 | + | 0.755879i | \(0.727210\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 473.302 | + | 172.268i | 0.480510 | + | 0.174891i | ||||
\(986\) | 574.728 | − | 1030.20i | 0.582889 | − | 1.04483i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −22.1354 | − | 11.9249i | −0.0224043 | − | 0.0120697i | ||||
\(989\) | −206.130 | − | 357.028i | −0.208423 | − | 0.360999i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 892.014 | + | 515.005i | 0.900115 | + | 0.519682i | 0.877238 | − | 0.480056i | \(-0.159384\pi\) |
0.0228778 | + | 0.999738i | \(0.492717\pi\) | |||||||
\(992\) | 51.3077 | + | 695.542i | 0.0517215 | + | 0.701151i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 726.672 | − | 10.7022i | 0.731058 | − | 0.0107668i | ||||
\(995\) | −259.073 | − | 308.751i | −0.260375 | − | 0.310302i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 707.962 | − | 257.677i | 0.710092 | − | 0.258452i | 0.0383783 | − | 0.999263i | \(-0.487781\pi\) |
0.671714 | + | 0.740811i | \(0.265559\pi\) | |||||||
\(998\) | 460.956 | + | 74.2972i | 0.461879 | + | 0.0744461i | ||||
\(999\) | 0 | 0 |
(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 | 324.3.j.a.19.14 | 204 | ||
3.2 | odd | 2 | 108.3.j.a.7.21 | yes | 204 | ||
4.3 | odd | 2 | inner | 324.3.j.a.19.21 | 204 | ||
12.11 | even | 2 | 108.3.j.a.7.14 | ✓ | 204 | ||
27.4 | even | 9 | inner | 324.3.j.a.307.21 | 204 | ||
27.23 | odd | 18 | 108.3.j.a.31.14 | yes | 204 | ||
108.23 | even | 18 | 108.3.j.a.31.21 | yes | 204 | ||
108.31 | odd | 18 | inner | 324.3.j.a.307.14 | 204 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
108.3.j.a.7.14 | ✓ | 204 | 12.11 | even | 2 | ||
108.3.j.a.7.21 | yes | 204 | 3.2 | odd | 2 | ||
108.3.j.a.31.14 | yes | 204 | 27.23 | odd | 18 | ||
108.3.j.a.31.21 | yes | 204 | 108.23 | even | 18 | ||
324.3.j.a.19.14 | 204 | 1.1 | even | 1 | trivial | ||
324.3.j.a.19.21 | 204 | 4.3 | odd | 2 | inner | ||
324.3.j.a.307.14 | 204 | 108.31 | odd | 18 | inner | ||
324.3.j.a.307.21 | 204 | 27.4 | even | 9 | inner |