Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [930,2,Mod(121,930)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(930, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([0, 0, 16]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("930.121");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 930.bg (of order \(15\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(7.42608738798\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{15})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{15}]$ |
Embedding invariants
Embedding label | 691.2 | ||
Character | \(\chi\) | \(=\) | 930.691 |
Dual form | 930.2.bg.h.751.2 |
$q$-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 \(\left(\mathbb{Z}/930\mathbb{Z}\right)^\times\).
\(n\) | \(187\) | \(311\) | \(871\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{1}{15}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.309017 | + | 0.951057i | −0.218508 | + | 0.672499i | ||||
\(3\) | 0.978148 | + | 0.207912i | 0.564734 | + | 0.120038i | ||||
\(4\) | −0.809017 | − | 0.587785i | −0.404508 | − | 0.293893i | ||||
\(5\) | −0.500000 | − | 0.866025i | −0.223607 | − | 0.387298i | ||||
\(6\) | −0.500000 | + | 0.866025i | −0.204124 | + | 0.353553i | ||||
\(7\) | −2.21753 | + | 0.987309i | −0.838149 | + | 0.373168i | −0.780490 | − | 0.625168i | \(-0.785030\pi\) |
−0.0576590 | + | 0.998336i | \(0.518364\pi\) | |||||||
\(8\) | 0.809017 | − | 0.587785i | 0.286031 | − | 0.207813i | ||||
\(9\) | 0.913545 | + | 0.406737i | 0.304515 | + | 0.135579i | ||||
\(10\) | 0.978148 | − | 0.207912i | 0.309317 | − | 0.0657474i | ||||
\(11\) | 0.123923 | − | 1.17905i | 0.0373643 | − | 0.355497i | −0.959827 | − | 0.280594i | \(-0.909469\pi\) |
0.997191 | − | 0.0749033i | \(-0.0238648\pi\) | |||||||
\(12\) | −0.669131 | − | 0.743145i | −0.193161 | − | 0.214527i | ||||
\(13\) | 3.35271 | − | 3.72356i | 0.929874 | − | 1.03273i | −0.0695085 | − | 0.997581i | \(-0.522143\pi\) |
0.999382 | − | 0.0351479i | \(-0.0111902\pi\) | |||||||
\(14\) | −0.253732 | − | 2.41409i | −0.0678126 | − | 0.645194i | ||||
\(15\) | −0.309017 | − | 0.951057i | −0.0797878 | − | 0.245562i | ||||
\(16\) | 0.309017 | + | 0.951057i | 0.0772542 | + | 0.237764i | ||||
\(17\) | −0.409428 | − | 3.89545i | −0.0993009 | − | 0.944785i | −0.924819 | − | 0.380408i | \(-0.875783\pi\) |
0.825518 | − | 0.564376i | \(-0.190883\pi\) | |||||||
\(18\) | −0.669131 | + | 0.743145i | −0.157716 | + | 0.175161i | ||||
\(19\) | −4.85854 | − | 5.39595i | −1.11462 | − | 1.23792i | −0.968597 | − | 0.248636i | \(-0.920018\pi\) |
−0.146028 | − | 0.989280i | \(-0.546649\pi\) | |||||||
\(20\) | −0.104528 | + | 0.994522i | −0.0233733 | + | 0.222382i | ||||
\(21\) | −2.37435 | + | 0.504683i | −0.518125 | + | 0.110131i | ||||
\(22\) | 1.08305 | + | 0.482205i | 0.230907 | + | 0.102806i | ||||
\(23\) | −1.97960 | + | 1.43826i | −0.412775 | + | 0.299899i | −0.774724 | − | 0.632299i | \(-0.782111\pi\) |
0.361949 | + | 0.932198i | \(0.382111\pi\) | |||||||
\(24\) | 0.913545 | − | 0.406737i | 0.186477 | − | 0.0830248i | ||||
\(25\) | −0.500000 | + | 0.866025i | −0.100000 | + | 0.173205i | ||||
\(26\) | 2.50527 | + | 4.33926i | 0.491324 | + | 0.850998i | ||||
\(27\) | 0.809017 | + | 0.587785i | 0.155695 | + | 0.113119i | ||||
\(28\) | 2.37435 | + | 0.504683i | 0.448710 | + | 0.0953762i | ||||
\(29\) | 0.450571 | − | 1.38671i | 0.0836689 | − | 0.257506i | −0.900467 | − | 0.434925i | \(-0.856775\pi\) |
0.984135 | + | 0.177419i | \(0.0567748\pi\) | |||||||
\(30\) | 1.00000 | 0.182574 | ||||||||
\(31\) | 4.34691 | + | 3.47913i | 0.780728 | + | 0.624871i | ||||
\(32\) | −1.00000 | −0.176777 | ||||||||
\(33\) | 0.366354 | − | 1.12752i | 0.0637740 | − | 0.196276i | ||||
\(34\) | 3.83131 | + | 0.814370i | 0.657064 | + | 0.139663i | ||||
\(35\) | 1.96380 | + | 1.42679i | 0.331943 | + | 0.241171i | ||||
\(36\) | −0.500000 | − | 0.866025i | −0.0833333 | − | 0.144338i | ||||
\(37\) | 4.71413 | − | 8.16512i | 0.774999 | − | 1.34234i | −0.159797 | − | 0.987150i | \(-0.551084\pi\) |
0.934795 | − | 0.355187i | \(-0.115583\pi\) | |||||||
\(38\) | 6.63323 | − | 2.95330i | 1.07605 | − | 0.479089i | ||||
\(39\) | 4.05361 | − | 2.94512i | 0.649098 | − | 0.471597i | ||||
\(40\) | −0.913545 | − | 0.406737i | −0.144444 | − | 0.0643107i | ||||
\(41\) | 4.38106 | − | 0.931224i | 0.684207 | − | 0.145433i | 0.147323 | − | 0.989088i | \(-0.452934\pi\) |
0.536884 | + | 0.843656i | \(0.319601\pi\) | |||||||
\(42\) | 0.253732 | − | 2.41409i | 0.0391516 | − | 0.372503i | ||||
\(43\) | 3.69833 | + | 4.10741i | 0.563990 | + | 0.626375i | 0.955922 | − | 0.293619i | \(-0.0948598\pi\) |
−0.391932 | + | 0.919994i | \(0.628193\pi\) | |||||||
\(44\) | −0.793285 | + | 0.881033i | −0.119592 | + | 0.132821i | ||||
\(45\) | −0.104528 | − | 0.994522i | −0.0155822 | − | 0.148255i | ||||
\(46\) | −0.756140 | − | 2.32716i | −0.111487 | − | 0.343121i | ||||
\(47\) | −3.65030 | − | 11.2345i | −0.532451 | − | 1.63872i | −0.749092 | − | 0.662465i | \(-0.769510\pi\) |
0.216641 | − | 0.976251i | \(-0.430490\pi\) | |||||||
\(48\) | 0.104528 | + | 0.994522i | 0.0150874 | + | 0.143547i | ||||
\(49\) | −0.741240 | + | 0.823231i | −0.105891 | + | 0.117604i | ||||
\(50\) | −0.669131 | − | 0.743145i | −0.0946294 | − | 0.105097i | ||||
\(51\) | 0.409428 | − | 3.89545i | 0.0573314 | − | 0.545472i | ||||
\(52\) | −4.90105 | + | 1.04175i | −0.679653 | + | 0.144465i | ||||
\(53\) | −2.56744 | − | 1.14310i | −0.352665 | − | 0.157017i | 0.222755 | − | 0.974874i | \(-0.428495\pi\) |
−0.575420 | + | 0.817858i | \(0.695162\pi\) | |||||||
\(54\) | −0.809017 | + | 0.587785i | −0.110093 | + | 0.0799874i | ||||
\(55\) | −1.08305 | + | 0.482205i | −0.146038 | + | 0.0650205i | ||||
\(56\) | −1.21370 | + | 2.10218i | −0.162187 | + | 0.280916i | ||||
\(57\) | −3.63049 | − | 6.28818i | −0.480870 | − | 0.832890i | ||||
\(58\) | 1.17961 | + | 0.857037i | 0.154890 | + | 0.112534i | ||||
\(59\) | −4.14462 | − | 0.880967i | −0.539584 | − | 0.114692i | −0.0699453 | − | 0.997551i | \(-0.522282\pi\) |
−0.469639 | + | 0.882859i | \(0.655616\pi\) | |||||||
\(60\) | −0.309017 | + | 0.951057i | −0.0398939 | + | 0.122781i | ||||
\(61\) | 15.5255 | 1.98784 | 0.993921 | − | 0.110094i | \(-0.0351152\pi\) | ||||
0.993921 | + | 0.110094i | \(0.0351152\pi\) | |||||||
\(62\) | −4.65212 | + | 3.05905i | −0.590820 | + | 0.388499i | ||||
\(63\) | −2.42739 | −0.305823 | ||||||||
\(64\) | 0.309017 | − | 0.951057i | 0.0386271 | − | 0.118882i | ||||
\(65\) | −4.90105 | − | 1.04175i | −0.607900 | − | 0.129213i | ||||
\(66\) | 0.959127 | + | 0.696847i | 0.118060 | + | 0.0857759i | ||||
\(67\) | 5.37596 | + | 9.31143i | 0.656778 | + | 1.13757i | 0.981445 | + | 0.191744i | \(0.0614144\pi\) |
−0.324667 | + | 0.945828i | \(0.605252\pi\) | |||||||
\(68\) | −1.95845 | + | 3.39214i | −0.237497 | + | 0.411357i | ||||
\(69\) | −2.23537 | + | 0.995252i | −0.269107 | + | 0.119814i | ||||
\(70\) | −1.96380 | + | 1.42679i | −0.234719 | + | 0.170533i | ||||
\(71\) | −11.9451 | − | 5.31832i | −1.41763 | − | 0.631168i | −0.452218 | − | 0.891907i | \(-0.649367\pi\) |
−0.965409 | + | 0.260739i | \(0.916034\pi\) | |||||||
\(72\) | 0.978148 | − | 0.207912i | 0.115276 | − | 0.0245026i | ||||
\(73\) | 1.34183 | − | 12.7667i | 0.157050 | − | 1.49423i | −0.577900 | − | 0.816107i | \(-0.696128\pi\) |
0.734950 | − | 0.678121i | \(-0.237206\pi\) | |||||||
\(74\) | 6.30874 | + | 7.00657i | 0.733376 | + | 0.814497i | ||||
\(75\) | −0.669131 | + | 0.743145i | −0.0772645 | + | 0.0858110i | ||||
\(76\) | 0.758978 | + | 7.22119i | 0.0870608 | + | 0.828328i | ||||
\(77\) | 0.889285 | + | 2.73694i | 0.101343 | + | 0.311903i | ||||
\(78\) | 1.54834 | + | 4.76531i | 0.175315 | + | 0.539565i | ||||
\(79\) | −0.640131 | − | 6.09044i | −0.0720204 | − | 0.685228i | −0.969653 | − | 0.244484i | \(-0.921381\pi\) |
0.897633 | − | 0.440744i | \(-0.145285\pi\) | |||||||
\(80\) | 0.669131 | − | 0.743145i | 0.0748111 | − | 0.0830861i | ||||
\(81\) | 0.669131 | + | 0.743145i | 0.0743478 | + | 0.0825716i | ||||
\(82\) | −0.468177 | + | 4.45440i | −0.0517014 | + | 0.491906i | ||||
\(83\) | 4.23749 | − | 0.900707i | 0.465125 | − | 0.0988655i | 0.0306130 | − | 0.999531i | \(-0.490254\pi\) |
0.434512 | + | 0.900666i | \(0.356921\pi\) | |||||||
\(84\) | 2.21753 | + | 0.987309i | 0.241953 | + | 0.107724i | ||||
\(85\) | −3.16884 | + | 2.30230i | −0.343709 | + | 0.249719i | ||||
\(86\) | −5.04923 | + | 2.24806i | −0.544473 | + | 0.242415i | ||||
\(87\) | 0.729039 | − | 1.26273i | 0.0781612 | − | 0.135379i | ||||
\(88\) | −0.592773 | − | 1.02671i | −0.0631898 | − | 0.109448i | ||||
\(89\) | 2.85803 | + | 2.07648i | 0.302951 | + | 0.220107i | 0.728866 | − | 0.684657i | \(-0.240048\pi\) |
−0.425915 | + | 0.904763i | \(0.640048\pi\) | |||||||
\(90\) | 0.978148 | + | 0.207912i | 0.103106 | + | 0.0219158i | ||||
\(91\) | −3.75844 | + | 11.5673i | −0.393991 | + | 1.21258i | ||||
\(92\) | 2.44692 | 0.255109 | ||||||||
\(93\) | 3.52857 | + | 4.30688i | 0.365895 | + | 0.446603i | ||||
\(94\) | 11.8126 | 1.21838 | ||||||||
\(95\) | −2.24376 | + | 6.90559i | −0.230205 | + | 0.708499i | ||||
\(96\) | −0.978148 | − | 0.207912i | −0.0998318 | − | 0.0212199i | ||||
\(97\) | −10.7779 | − | 7.83059i | −1.09433 | − | 0.795076i | −0.114204 | − | 0.993457i | \(-0.536432\pi\) |
−0.980125 | + | 0.198381i | \(0.936432\pi\) | |||||||
\(98\) | −0.553883 | − | 0.959354i | −0.0559506 | − | 0.0969093i | ||||
\(99\) | 0.592773 | − | 1.02671i | 0.0595759 | − | 0.103189i | ||||
\(100\) | 0.913545 | − | 0.406737i | 0.0913545 | − | 0.0406737i | ||||
\(101\) | −14.6330 | + | 10.6315i | −1.45604 | + | 1.05787i | −0.471662 | + | 0.881780i | \(0.656346\pi\) |
−0.984374 | + | 0.176092i | \(0.943654\pi\) | |||||||
\(102\) | 3.57827 | + | 1.59315i | 0.354301 | + | 0.157745i | ||||
\(103\) | 11.2491 | − | 2.39107i | 1.10841 | − | 0.235600i | 0.382885 | − | 0.923796i | \(-0.374931\pi\) |
0.725524 | + | 0.688197i | \(0.241597\pi\) | |||||||
\(104\) | 0.523744 | − | 4.98309i | 0.0513573 | − | 0.488633i | ||||
\(105\) | 1.62424 | + | 1.80390i | 0.158510 | + | 0.176043i | ||||
\(106\) | 1.88053 | − | 2.08854i | 0.182653 | − | 0.202857i | ||||
\(107\) | −1.70231 | − | 16.1964i | −0.164568 | − | 1.56576i | −0.695612 | − | 0.718418i | \(-0.744867\pi\) |
0.531043 | − | 0.847345i | \(-0.321800\pi\) | |||||||
\(108\) | −0.309017 | − | 0.951057i | −0.0297352 | − | 0.0915155i | ||||
\(109\) | 4.78415 | + | 14.7241i | 0.458239 | + | 1.41031i | 0.867291 | + | 0.497802i | \(0.165859\pi\) |
−0.409052 | + | 0.912511i | \(0.634141\pi\) | |||||||
\(110\) | −0.123923 | − | 1.17905i | −0.0118156 | − | 0.112418i | ||||
\(111\) | 6.30874 | − | 7.00657i | 0.598799 | − | 0.665034i | ||||
\(112\) | −1.62424 | − | 1.80390i | −0.153476 | − | 0.170453i | ||||
\(113\) | −0.249769 | + | 2.37640i | −0.0234963 | + | 0.223553i | 0.976472 | + | 0.215642i | \(0.0691846\pi\) |
−0.999969 | + | 0.00791013i | \(0.997482\pi\) | |||||||
\(114\) | 7.10230 | − | 1.50964i | 0.665191 | − | 0.141391i | ||||
\(115\) | 2.23537 | + | 0.995252i | 0.208450 | + | 0.0928078i | ||||
\(116\) | −1.17961 | + | 0.857037i | −0.109524 | + | 0.0795739i | ||||
\(117\) | 4.57736 | − | 2.03797i | 0.423177 | − | 0.188410i | ||||
\(118\) | 2.11861 | − | 3.66954i | 0.195034 | − | 0.337808i | ||||
\(119\) | 4.75393 | + | 8.23405i | 0.435792 | + | 0.754814i | ||||
\(120\) | −0.809017 | − | 0.587785i | −0.0738528 | − | 0.0536572i | ||||
\(121\) | 9.38482 | + | 1.99480i | 0.853165 | + | 0.181346i | ||||
\(122\) | −4.79766 | + | 14.7657i | −0.434359 | + | 1.33682i | ||||
\(123\) | 4.47894 | 0.403852 | ||||||||
\(124\) | −1.47174 | − | 5.36973i | −0.132166 | − | 0.482216i | ||||
\(125\) | 1.00000 | 0.0894427 | ||||||||
\(126\) | 0.750106 | − | 2.30859i | 0.0668247 | − | 0.205665i | ||||
\(127\) | −11.2437 | − | 2.38991i | −0.997713 | − | 0.212070i | −0.320016 | − | 0.947412i | \(-0.603688\pi\) |
−0.677697 | + | 0.735342i | \(0.737022\pi\) | |||||||
\(128\) | 0.809017 | + | 0.587785i | 0.0715077 | + | 0.0519534i | ||||
\(129\) | 2.76354 | + | 4.78658i | 0.243316 | + | 0.421435i | ||||
\(130\) | 2.50527 | − | 4.33926i | 0.219727 | − | 0.380578i | ||||
\(131\) | −14.4424 | + | 6.43019i | −1.26184 | + | 0.561808i | −0.925077 | − | 0.379780i | \(-0.876000\pi\) |
−0.336765 | + | 0.941589i | \(0.609333\pi\) | |||||||
\(132\) | −0.959127 | + | 0.696847i | −0.0834813 | + | 0.0606527i | ||||
\(133\) | 16.1014 | + | 7.16882i | 1.39617 | + | 0.621616i | ||||
\(134\) | −10.5170 | + | 2.23545i | −0.908527 | + | 0.193113i | ||||
\(135\) | 0.104528 | − | 0.994522i | 0.00899638 | − | 0.0855948i | ||||
\(136\) | −2.62092 | − | 2.91083i | −0.224742 | − | 0.249601i | ||||
\(137\) | −14.3993 | + | 15.9920i | −1.23021 | + | 1.36629i | −0.322568 | + | 0.946546i | \(0.604546\pi\) |
−0.907643 | + | 0.419742i | \(0.862121\pi\) | |||||||
\(138\) | −0.255773 | − | 2.43352i | −0.0217728 | − | 0.207155i | ||||
\(139\) | 3.97898 | + | 12.2460i | 0.337493 | + | 1.03870i | 0.965481 | + | 0.260473i | \(0.0838784\pi\) |
−0.627989 | + | 0.778223i | \(0.716122\pi\) | |||||||
\(140\) | −0.750106 | − | 2.30859i | −0.0633955 | − | 0.195111i | ||||
\(141\) | −1.23476 | − | 11.7479i | −0.103985 | − | 0.989353i | ||||
\(142\) | 8.74927 | − | 9.71705i | 0.734223 | − | 0.815437i | ||||
\(143\) | −3.97479 | − | 4.41445i | −0.332389 | − | 0.369155i | ||||
\(144\) | −0.104528 | + | 0.994522i | −0.00871071 | + | 0.0828768i | ||||
\(145\) | −1.42622 | + | 0.303151i | −0.118441 | + | 0.0251754i | ||||
\(146\) | 11.7272 | + | 5.22129i | 0.970550 | + | 0.432117i | ||||
\(147\) | −0.896202 | + | 0.651129i | −0.0739175 | + | 0.0537042i | ||||
\(148\) | −8.61315 | + | 3.83482i | −0.707996 | + | 0.315220i | ||||
\(149\) | −2.07963 | + | 3.60202i | −0.170370 | + | 0.295089i | −0.938549 | − | 0.345146i | \(-0.887830\pi\) |
0.768179 | + | 0.640235i | \(0.221163\pi\) | |||||||
\(150\) | −0.500000 | − | 0.866025i | −0.0408248 | − | 0.0707107i | ||||
\(151\) | 0.462719 | + | 0.336185i | 0.0376555 | + | 0.0273583i | 0.606454 | − | 0.795119i | \(-0.292591\pi\) |
−0.568798 | + | 0.822477i | \(0.692591\pi\) | |||||||
\(152\) | −7.10230 | − | 1.50964i | −0.576073 | − | 0.122448i | ||||
\(153\) | 1.21039 | − | 3.72520i | 0.0978542 | − | 0.301164i | ||||
\(154\) | −2.87779 | −0.231899 | ||||||||
\(155\) | 0.839564 | − | 5.50410i | 0.0674354 | − | 0.442100i | ||||
\(156\) | −5.01054 | −0.401164 | ||||||||
\(157\) | 2.58846 | − | 7.96645i | 0.206581 | − | 0.635792i | −0.793063 | − | 0.609139i | \(-0.791515\pi\) |
0.999645 | − | 0.0266530i | \(-0.00848493\pi\) | |||||||
\(158\) | 5.99017 | + | 1.27325i | 0.476552 | + | 0.101294i | ||||
\(159\) | −2.27367 | − | 1.65192i | −0.180314 | − | 0.131006i | ||||
\(160\) | 0.500000 | + | 0.866025i | 0.0395285 | + | 0.0684653i | ||||
\(161\) | 2.96982 | − | 5.14388i | 0.234055 | − | 0.405394i | ||||
\(162\) | −0.913545 | + | 0.406737i | −0.0717749 | + | 0.0319562i | ||||
\(163\) | −14.6567 | + | 10.6487i | −1.14800 | + | 0.834074i | −0.988214 | − | 0.153077i | \(-0.951082\pi\) |
−0.159790 | + | 0.987151i | \(0.551082\pi\) | |||||||
\(164\) | −4.09171 | − | 1.82175i | −0.319509 | − | 0.142255i | ||||
\(165\) | −1.15964 | + | 0.246489i | −0.0902778 | + | 0.0191891i | ||||
\(166\) | −0.452834 | + | 4.30843i | −0.0351468 | + | 0.334399i | ||||
\(167\) | 12.7335 | + | 14.1420i | 0.985349 | + | 1.09434i | 0.995535 | + | 0.0943925i | \(0.0300909\pi\) |
−0.0101864 | + | 0.999948i | \(0.503242\pi\) | |||||||
\(168\) | −1.62424 | + | 1.80390i | −0.125313 | + | 0.139174i | ||||
\(169\) | −1.26537 | − | 12.0392i | −0.0973363 | − | 0.926093i | ||||
\(170\) | −1.21039 | − | 3.72520i | −0.0928327 | − | 0.285710i | ||||
\(171\) | −2.24376 | − | 6.90559i | −0.171585 | − | 0.528084i | ||||
\(172\) | −0.577736 | − | 5.49679i | −0.0440520 | − | 0.419127i | ||||
\(173\) | 10.7945 | − | 11.9885i | 0.820687 | − | 0.911465i | −0.176659 | − | 0.984272i | \(-0.556529\pi\) |
0.997346 | + | 0.0728067i | \(0.0231956\pi\) | |||||||
\(174\) | 0.975644 | + | 1.08356i | 0.0739634 | + | 0.0821447i | ||||
\(175\) | 0.253732 | − | 2.41409i | 0.0191803 | − | 0.182488i | ||||
\(176\) | 1.15964 | − | 0.246489i | 0.0874111 | − | 0.0185798i | ||||
\(177\) | −3.87089 | − | 1.72343i | −0.290954 | − | 0.129541i | ||||
\(178\) | −2.85803 | + | 2.07648i | −0.214219 | + | 0.155639i | ||||
\(179\) | 3.08971 | − | 1.37563i | 0.230936 | − | 0.102819i | −0.288007 | − | 0.957628i | \(-0.592993\pi\) |
0.518942 | + | 0.854809i | \(0.326326\pi\) | |||||||
\(180\) | −0.500000 | + | 0.866025i | −0.0372678 | + | 0.0645497i | ||||
\(181\) | 1.50501 | + | 2.60675i | 0.111866 | + | 0.193758i | 0.916523 | − | 0.399982i | \(-0.130984\pi\) |
−0.804656 | + | 0.593741i | \(0.797650\pi\) | |||||||
\(182\) | −9.83971 | − | 7.14897i | −0.729368 | − | 0.529917i | ||||
\(183\) | 15.1863 | + | 3.22794i | 1.12260 | + | 0.238616i | ||||
\(184\) | −0.756140 | + | 2.32716i | −0.0557434 | + | 0.171561i | ||||
\(185\) | −9.42826 | −0.693180 | ||||||||
\(186\) | −5.18647 | + | 2.02497i | −0.380291 | + | 0.148478i | ||||
\(187\) | −4.64367 | −0.339579 | ||||||||
\(188\) | −3.65030 | + | 11.2345i | −0.266226 | + | 0.819358i | ||||
\(189\) | −2.37435 | − | 0.504683i | −0.172708 | − | 0.0367103i | ||||
\(190\) | −5.87425 | − | 4.26789i | −0.426163 | − | 0.309625i | ||||
\(191\) | 1.49938 | + | 2.59700i | 0.108491 | + | 0.187912i | 0.915159 | − | 0.403093i | \(-0.132065\pi\) |
−0.806668 | + | 0.591005i | \(0.798731\pi\) | |||||||
\(192\) | 0.500000 | − | 0.866025i | 0.0360844 | − | 0.0625000i | ||||
\(193\) | −21.1806 | + | 9.43019i | −1.52461 | + | 0.678800i | −0.986453 | − | 0.164045i | \(-0.947546\pi\) |
−0.538157 | + | 0.842845i | \(0.680879\pi\) | |||||||
\(194\) | 10.7779 | − | 7.83059i | 0.773807 | − | 0.562204i | ||||
\(195\) | −4.57736 | − | 2.03797i | −0.327791 | − | 0.145942i | ||||
\(196\) | 1.08356 | − | 0.230318i | 0.0773970 | − | 0.0164513i | ||||
\(197\) | 0.775256 | − | 7.37607i | 0.0552347 | − | 0.525523i | −0.931565 | − | 0.363576i | \(-0.881556\pi\) |
0.986799 | − | 0.161947i | \(-0.0517775\pi\) | |||||||
\(198\) | 0.793285 | + | 0.881033i | 0.0563763 | + | 0.0626123i | ||||
\(199\) | −1.91055 | + | 2.12188i | −0.135436 | + | 0.150416i | −0.807047 | − | 0.590487i | \(-0.798936\pi\) |
0.671612 | + | 0.740903i | \(0.265602\pi\) | |||||||
\(200\) | 0.104528 | + | 0.994522i | 0.00739128 | + | 0.0703233i | ||||
\(201\) | 3.32252 | + | 10.2257i | 0.234353 | + | 0.721264i | ||||
\(202\) | −5.58930 | − | 17.2021i | −0.393262 | − | 1.21034i | ||||
\(203\) | 0.369960 | + | 3.51994i | 0.0259661 | + | 0.247051i | ||||
\(204\) | −2.62092 | + | 2.91083i | −0.183501 | + | 0.203799i | ||||
\(205\) | −2.99699 | − | 3.32850i | −0.209319 | − | 0.232473i | ||||
\(206\) | −1.20212 | + | 11.4374i | −0.0837559 | + | 0.796884i | ||||
\(207\) | −2.39345 | + | 0.508744i | −0.166356 | + | 0.0353601i | ||||
\(208\) | 4.57736 | + | 2.03797i | 0.317383 | + | 0.141308i | ||||
\(209\) | −6.96419 | + | 5.05978i | −0.481723 | + | 0.349993i | ||||
\(210\) | −2.21753 | + | 0.987309i | −0.153024 | + | 0.0681308i | ||||
\(211\) | 0.621186 | − | 1.07593i | 0.0427642 | − | 0.0740698i | −0.843851 | − | 0.536578i | \(-0.819717\pi\) |
0.886615 | + | 0.462508i | \(0.153050\pi\) | |||||||
\(212\) | 1.40521 | + | 2.43389i | 0.0965099 | + | 0.167160i | ||||
\(213\) | −10.5784 | − | 7.68563i | −0.724818 | − | 0.526611i | ||||
\(214\) | 15.9297 | + | 3.38596i | 1.08893 | + | 0.231460i | ||||
\(215\) | 1.70796 | − | 5.25656i | 0.116482 | − | 0.358494i | ||||
\(216\) | 1.00000 | 0.0680414 | ||||||||
\(217\) | −13.0744 | − | 3.42335i | −0.887548 | − | 0.232392i | ||||
\(218\) | −15.4818 | −1.04856 | ||||||||
\(219\) | 3.96686 | − | 12.2087i | 0.268055 | − | 0.824990i | ||||
\(220\) | 1.15964 | + | 0.246489i | 0.0781829 | + | 0.0166183i | ||||
\(221\) | −15.8776 | − | 11.5358i | −1.06804 | − | 0.775979i | ||||
\(222\) | 4.71413 | + | 8.16512i | 0.316392 | + | 0.548007i | ||||
\(223\) | −4.85770 | + | 8.41378i | −0.325296 | + | 0.563428i | −0.981572 | − | 0.191092i | \(-0.938797\pi\) |
0.656277 | + | 0.754520i | \(0.272130\pi\) | |||||||
\(224\) | 2.21753 | − | 0.987309i | 0.148165 | − | 0.0659674i | ||||
\(225\) | −0.809017 | + | 0.587785i | −0.0539345 | + | 0.0391857i | ||||
\(226\) | −2.18290 | − | 0.971892i | −0.145205 | − | 0.0646493i | ||||
\(227\) | −14.3286 | + | 3.04565i | −0.951026 | + | 0.202147i | −0.657203 | − | 0.753713i | \(-0.728261\pi\) |
−0.293822 | + | 0.955860i | \(0.594927\pi\) | |||||||
\(228\) | −0.758978 | + | 7.22119i | −0.0502646 | + | 0.478235i | ||||
\(229\) | 4.22905 | + | 4.69683i | 0.279463 | + | 0.310376i | 0.866492 | − | 0.499190i | \(-0.166369\pi\) |
−0.587029 | + | 0.809566i | \(0.699703\pi\) | |||||||
\(230\) | −1.63731 | + | 1.81842i | −0.107961 | + | 0.119903i | ||||
\(231\) | 0.300811 | + | 2.86202i | 0.0197919 | + | 0.188307i | ||||
\(232\) | −0.450571 | − | 1.38671i | −0.0295814 | − | 0.0910423i | ||||
\(233\) | −0.0653714 | − | 0.201193i | −0.00428262 | − | 0.0131806i | 0.948892 | − | 0.315600i | \(-0.102206\pi\) |
−0.953175 | + | 0.302419i | \(0.902206\pi\) | |||||||
\(234\) | 0.523744 | + | 4.98309i | 0.0342382 | + | 0.325755i | ||||
\(235\) | −7.90419 | + | 8.77849i | −0.515613 | + | 0.572646i | ||||
\(236\) | 2.83525 | + | 3.14887i | 0.184559 | + | 0.204974i | ||||
\(237\) | 0.640131 | − | 6.09044i | 0.0415810 | − | 0.395617i | ||||
\(238\) | −9.30009 | + | 1.97680i | −0.602835 | + | 0.128137i | ||||
\(239\) | 11.0928 | + | 4.93884i | 0.717535 | + | 0.319467i | 0.732826 | − | 0.680416i | \(-0.238201\pi\) |
−0.0152911 | + | 0.999883i | \(0.504868\pi\) | |||||||
\(240\) | 0.809017 | − | 0.587785i | 0.0522218 | − | 0.0379414i | ||||
\(241\) | 9.68139 | − | 4.31043i | 0.623633 | − | 0.277659i | −0.0704935 | − | 0.997512i | \(-0.522457\pi\) |
0.694127 | + | 0.719853i | \(0.255791\pi\) | |||||||
\(242\) | −4.79724 | + | 8.30906i | −0.308378 | + | 0.534127i | ||||
\(243\) | 0.500000 | + | 0.866025i | 0.0320750 | + | 0.0555556i | ||||
\(244\) | −12.5604 | − | 9.12569i | −0.804099 | − | 0.584212i | ||||
\(245\) | 1.08356 | + | 0.230318i | 0.0692260 | + | 0.0147144i | ||||
\(246\) | −1.38407 | + | 4.25972i | −0.0882450 | + | 0.271590i | ||||
\(247\) | −36.3814 | −2.31489 | ||||||||
\(248\) | 5.56171 | + | 0.259629i | 0.353169 | + | 0.0164865i | ||||
\(249\) | 4.33216 | 0.274540 | ||||||||
\(250\) | −0.309017 | + | 0.951057i | −0.0195440 | + | 0.0601501i | ||||
\(251\) | 21.1020 | + | 4.48537i | 1.33195 | + | 0.283114i | 0.818252 | − | 0.574859i | \(-0.194943\pi\) |
0.513695 | + | 0.857973i | \(0.328276\pi\) | |||||||
\(252\) | 1.96380 | + | 1.42679i | 0.123708 | + | 0.0898790i | ||||
\(253\) | 1.45047 | + | 2.51229i | 0.0911902 | + | 0.157946i | ||||
\(254\) | 5.74742 | − | 9.95483i | 0.360625 | − | 0.624621i | ||||
\(255\) | −3.57827 | + | 1.59315i | −0.224080 | + | 0.0997668i | ||||
\(256\) | −0.809017 | + | 0.587785i | −0.0505636 | + | 0.0367366i | ||||
\(257\) | −0.776845 | − | 0.345874i | −0.0484583 | − | 0.0215750i | 0.382364 | − | 0.924012i | \(-0.375110\pi\) |
−0.430823 | + | 0.902437i | \(0.641777\pi\) | |||||||
\(258\) | −5.40629 | + | 1.14914i | −0.336581 | + | 0.0715425i | ||||
\(259\) | −2.39225 | + | 22.7607i | −0.148647 | + | 1.41428i | ||||
\(260\) | 3.35271 | + | 3.72356i | 0.207926 | + | 0.230925i | ||||
\(261\) | 0.975644 | − | 1.08356i | 0.0603909 | − | 0.0670709i | ||||
\(262\) | −1.65251 | − | 15.7226i | −0.102093 | − | 0.971346i | ||||
\(263\) | −2.33772 | − | 7.19476i | −0.144150 | − | 0.443648i | 0.852751 | − | 0.522318i | \(-0.174933\pi\) |
−0.996901 | + | 0.0786701i | \(0.974933\pi\) | |||||||
\(264\) | −0.366354 | − | 1.12752i | −0.0225475 | − | 0.0693942i | ||||
\(265\) | 0.293768 | + | 2.79502i | 0.0180460 | + | 0.171696i | ||||
\(266\) | −11.7936 | + | 13.0981i | −0.723111 | + | 0.803096i | ||||
\(267\) | 2.36385 | + | 2.62532i | 0.144665 | + | 0.160667i | ||||
\(268\) | 1.12388 | − | 10.6930i | 0.0686520 | − | 0.653180i | ||||
\(269\) | −0.141034 | + | 0.0299777i | −0.00859899 | + | 0.00182777i | −0.212209 | − | 0.977224i | \(-0.568066\pi\) |
0.203610 | + | 0.979052i | \(0.434732\pi\) | |||||||
\(270\) | 0.913545 | + | 0.406737i | 0.0555966 | + | 0.0247532i | ||||
\(271\) | 14.9729 | − | 10.8784i | 0.909539 | − | 0.660818i | −0.0313596 | − | 0.999508i | \(-0.509984\pi\) |
0.940898 | + | 0.338690i | \(0.109984\pi\) | |||||||
\(272\) | 3.57827 | − | 1.59315i | 0.216964 | − | 0.0965988i | ||||
\(273\) | −6.08128 | + | 10.5331i | −0.368056 | + | 0.637491i | ||||
\(274\) | −10.7597 | − | 18.6363i | −0.650016 | − | 1.12586i | ||||
\(275\) | 0.959127 | + | 0.696847i | 0.0578375 | + | 0.0420214i | ||||
\(276\) | 2.39345 | + | 0.508744i | 0.144069 | + | 0.0306228i | ||||
\(277\) | 7.95939 | − | 24.4965i | 0.478234 | − | 1.47185i | −0.363313 | − | 0.931667i | \(-0.618354\pi\) |
0.841547 | − | 0.540184i | \(-0.181646\pi\) | |||||||
\(278\) | −12.8762 | −0.772266 | ||||||||
\(279\) | 2.55601 | + | 4.94639i | 0.153024 | + | 0.296133i | ||||
\(280\) | 2.42739 | 0.145064 | ||||||||
\(281\) | −7.50466 | + | 23.0970i | −0.447690 | + | 1.37785i | 0.431816 | + | 0.901962i | \(0.357873\pi\) |
−0.879506 | + | 0.475887i | \(0.842127\pi\) | |||||||
\(282\) | 11.5545 | + | 2.45598i | 0.688060 | + | 0.146252i | ||||
\(283\) | 8.54142 | + | 6.20570i | 0.507735 | + | 0.368891i | 0.811964 | − | 0.583708i | \(-0.198399\pi\) |
−0.304229 | + | 0.952599i | \(0.598399\pi\) | |||||||
\(284\) | 6.53779 | + | 11.3238i | 0.387947 | + | 0.671943i | ||||
\(285\) | −3.63049 | + | 6.28818i | −0.215051 | + | 0.372480i | ||||
\(286\) | 5.42667 | − | 2.41611i | 0.320886 | − | 0.142868i | ||||
\(287\) | −8.79575 | + | 6.39048i | −0.519197 | + | 0.377218i | ||||
\(288\) | −0.913545 | − | 0.406737i | −0.0538312 | − | 0.0239672i | ||||
\(289\) | 1.62164 | − | 0.344690i | 0.0953905 | − | 0.0202759i | ||||
\(290\) | 0.152411 | − | 1.45009i | 0.00894986 | − | 0.0851522i | ||||
\(291\) | −8.91429 | − | 9.90032i | −0.522565 | − | 0.580367i | ||||
\(292\) | −8.58964 | + | 9.53976i | −0.502671 | + | 0.558272i | ||||
\(293\) | −1.84247 | − | 17.5299i | −0.107638 | − | 1.02411i | −0.906388 | − | 0.422447i | \(-0.861171\pi\) |
0.798749 | − | 0.601664i | \(-0.205495\pi\) | |||||||
\(294\) | −0.342319 | − | 1.05355i | −0.0199644 | − | 0.0614442i | ||||
\(295\) | 1.30937 | + | 4.02983i | 0.0762346 | + | 0.234626i | ||||
\(296\) | −0.985522 | − | 9.37662i | −0.0572823 | − | 0.545005i | ||||
\(297\) | 0.793285 | − | 0.881033i | 0.0460311 | − | 0.0511227i | ||||
\(298\) | −2.78309 | − | 3.09093i | −0.161220 | − | 0.179053i | ||||
\(299\) | −1.28156 | + | 12.1932i | −0.0741146 | + | 0.705153i | ||||
\(300\) | 0.978148 | − | 0.207912i | 0.0564734 | − | 0.0120038i | ||||
\(301\) | −12.2565 | − | 5.45693i | −0.706451 | − | 0.314532i | ||||
\(302\) | −0.462719 | + | 0.336185i | −0.0266265 | + | 0.0193453i | ||||
\(303\) | −16.5236 | + | 7.35679i | −0.949257 | + | 0.422636i | ||||
\(304\) | 3.63049 | − | 6.28818i | 0.208223 | − | 0.360652i | ||||
\(305\) | −7.76277 | − | 13.4455i | −0.444495 | − | 0.769888i | ||||
\(306\) | 3.16884 | + | 2.30230i | 0.181151 | + | 0.131614i | ||||
\(307\) | −15.3553 | − | 3.26388i | −0.876375 | − | 0.186279i | −0.252305 | − | 0.967648i | \(-0.581189\pi\) |
−0.624070 | + | 0.781369i | \(0.714522\pi\) | |||||||
\(308\) | 0.889285 | − | 2.73694i | 0.0506717 | − | 0.155951i | ||||
\(309\) | 11.5004 | 0.654237 | ||||||||
\(310\) | 4.97527 | + | 2.49933i | 0.282576 | + | 0.141953i | ||||
\(311\) | −8.78604 | −0.498210 | −0.249105 | − | 0.968476i | \(-0.580137\pi\) | ||||
−0.249105 | + | 0.968476i | \(0.580137\pi\) | |||||||
\(312\) | 1.54834 | − | 4.76531i | 0.0876576 | − | 0.269782i | ||||
\(313\) | 8.84317 | + | 1.87967i | 0.499845 | + | 0.106245i | 0.450933 | − | 0.892558i | \(-0.351091\pi\) |
0.0489121 | + | 0.998803i | \(0.484425\pi\) | |||||||
\(314\) | 6.77667 | + | 4.92354i | 0.382430 | + | 0.277851i | ||||
\(315\) | 1.21370 | + | 2.10218i | 0.0683840 | + | 0.118445i | ||||
\(316\) | −3.06199 | + | 5.30353i | −0.172251 | + | 0.298347i | ||||
\(317\) | 24.5039 | − | 10.9098i | 1.37627 | − | 0.612757i | 0.420617 | − | 0.907238i | \(-0.361814\pi\) |
0.955657 | + | 0.294482i | \(0.0951470\pi\) | |||||||
\(318\) | 2.27367 | − | 1.65192i | 0.127501 | − | 0.0926350i | ||||
\(319\) | −1.57917 | − | 0.703093i | −0.0884166 | − | 0.0393656i | ||||
\(320\) | −0.978148 | + | 0.207912i | −0.0546801 | + | 0.0116226i | ||||
\(321\) | 1.70231 | − | 16.1964i | 0.0950135 | − | 0.903994i | ||||
\(322\) | 3.97439 | + | 4.41401i | 0.221484 | + | 0.245983i | ||||
\(323\) | −19.0304 | + | 21.1354i | −1.05888 | + | 1.17601i | ||||
\(324\) | −0.104528 | − | 0.994522i | −0.00580714 | − | 0.0552512i | ||||
\(325\) | 1.54834 | + | 4.76531i | 0.0858866 | + | 0.264332i | ||||
\(326\) | −5.59838 | − | 17.2300i | −0.310065 | − | 0.954283i | ||||
\(327\) | 1.61829 | + | 15.3970i | 0.0894918 | + | 0.851457i | ||||
\(328\) | 2.99699 | − | 3.32850i | 0.165481 | − | 0.183786i | ||||
\(329\) | 19.1866 | + | 21.3088i | 1.05779 | + | 1.17479i | ||||
\(330\) | 0.123923 | − | 1.17905i | 0.00682176 | − | 0.0649047i | ||||
\(331\) | 26.8999 | − | 5.71776i | 1.47855 | − | 0.314276i | 0.603134 | − | 0.797640i | \(-0.293918\pi\) |
0.875420 | + | 0.483364i | \(0.160585\pi\) | |||||||
\(332\) | −3.95763 | − | 1.76205i | −0.217203 | − | 0.0967050i | ||||
\(333\) | 7.62763 | − | 5.54179i | 0.417991 | − | 0.303688i | ||||
\(334\) | −17.3847 | + | 7.74017i | −0.951249 | + | 0.423523i | ||||
\(335\) | 5.37596 | − | 9.31143i | 0.293720 | − | 0.508738i | ||||
\(336\) | −1.21370 | − | 2.10218i | −0.0662126 | − | 0.114684i | ||||
\(337\) | 4.21180 | + | 3.06005i | 0.229431 | + | 0.166691i | 0.696562 | − | 0.717497i | \(-0.254712\pi\) |
−0.467131 | + | 0.884188i | \(0.654712\pi\) | |||||||
\(338\) | 11.8410 | + | 2.51688i | 0.644065 | + | 0.136900i | ||||
\(339\) | −0.738392 | + | 2.27254i | −0.0401039 | + | 0.123427i | ||||
\(340\) | 3.91690 | 0.212424 | ||||||||
\(341\) | 4.64076 | − | 4.69409i | 0.251311 | − | 0.254199i | ||||
\(342\) | 7.26097 | 0.392628 | ||||||||
\(343\) | 6.08168 | − | 18.7175i | 0.328380 | − | 1.01065i | ||||
\(344\) | 5.40629 | + | 1.14914i | 0.291488 | + | 0.0619576i | ||||
\(345\) | 1.97960 | + | 1.43826i | 0.106578 | + | 0.0774335i | ||||
\(346\) | 8.06603 | + | 13.9708i | 0.433632 | + | 0.751073i | ||||
\(347\) | −8.99975 | + | 15.5880i | −0.483132 | + | 0.836809i | −0.999812 | − | 0.0193693i | \(-0.993834\pi\) |
0.516681 | + | 0.856178i | \(0.327167\pi\) | |||||||
\(348\) | −1.33202 | + | 0.593054i | −0.0714038 | + | 0.0317910i | ||||
\(349\) | 3.05998 | − | 2.22321i | 0.163797 | − | 0.119006i | −0.502867 | − | 0.864364i | \(-0.667721\pi\) |
0.666664 | + | 0.745358i | \(0.267721\pi\) | |||||||
\(350\) | 2.21753 | + | 0.987309i | 0.118532 | + | 0.0527739i | ||||
\(351\) | 4.90105 | − | 1.04175i | 0.261599 | − | 0.0556045i | ||||
\(352\) | −0.123923 | + | 1.17905i | −0.00660514 | + | 0.0628437i | ||||
\(353\) | 4.61807 | + | 5.12888i | 0.245795 | + | 0.272983i | 0.853400 | − | 0.521256i | \(-0.174536\pi\) |
−0.607605 | + | 0.794239i | \(0.707870\pi\) | |||||||
\(354\) | 2.83525 | − | 3.14887i | 0.150692 | − | 0.167360i | ||||
\(355\) | 1.36677 | + | 13.0040i | 0.0725406 | + | 0.690178i | ||||
\(356\) | −1.09167 | − | 3.35982i | −0.0578585 | − | 0.178070i | ||||
\(357\) | 2.93809 | + | 9.04251i | 0.155500 | + | 0.478581i | ||||
\(358\) | 0.353527 | + | 3.36358i | 0.0186845 | + | 0.177771i | ||||
\(359\) | −4.31348 | + | 4.79061i | −0.227657 | + | 0.252839i | −0.846141 | − | 0.532958i | \(-0.821080\pi\) |
0.618485 | + | 0.785797i | \(0.287747\pi\) | |||||||
\(360\) | −0.669131 | − | 0.743145i | −0.0352663 | − | 0.0391672i | ||||
\(361\) | −3.52488 | + | 33.5370i | −0.185520 | + | 1.76510i | ||||
\(362\) | −2.94424 | + | 0.625818i | −0.154746 | + | 0.0328923i | ||||
\(363\) | 8.76499 | + | 3.90243i | 0.460043 | + | 0.204824i | ||||
\(364\) | 9.83971 | − | 7.14897i | 0.515741 | − | 0.374708i | ||||
\(365\) | −11.7272 | + | 5.22129i | −0.613830 | + | 0.273295i | ||||
\(366\) | −7.76277 | + | 13.4455i | −0.405767 | + | 0.702808i | ||||
\(367\) | 1.94467 | + | 3.36826i | 0.101511 | + | 0.175822i | 0.912307 | − | 0.409506i | \(-0.134299\pi\) |
−0.810797 | + | 0.585328i | \(0.800966\pi\) | |||||||
\(368\) | −1.97960 | − | 1.43826i | −0.103194 | − | 0.0749747i | ||||
\(369\) | 4.38106 | + | 0.931224i | 0.228069 | + | 0.0484776i | ||||
\(370\) | 2.91349 | − | 8.96681i | 0.151465 | − | 0.466162i | ||||
\(371\) | 6.82197 | 0.354179 | ||||||||
\(372\) | −0.323150 | − | 5.55838i | −0.0167545 | − | 0.288189i | ||||
\(373\) | −4.20129 | −0.217535 | −0.108767 | − | 0.994067i | \(-0.534690\pi\) | ||||
−0.108767 | + | 0.994067i | \(0.534690\pi\) | |||||||
\(374\) | 1.43497 | − | 4.41639i | 0.0742007 | − | 0.228366i | ||||
\(375\) | 0.978148 | + | 0.207912i | 0.0505113 | + | 0.0107365i | ||||
\(376\) | −9.55662 | − | 6.94329i | −0.492845 | − | 0.358073i | ||||
\(377\) | −3.65288 | − | 6.32697i | −0.188133 | − | 0.325856i | ||||
\(378\) | 1.21370 | − | 2.10218i | 0.0624258 | − | 0.108125i | ||||
\(379\) | −24.3300 | + | 10.8324i | −1.24975 | + | 0.556424i | −0.921578 | − | 0.388194i | \(-0.873099\pi\) |
−0.328171 | + | 0.944618i | \(0.606432\pi\) | |||||||
\(380\) | 5.87425 | − | 4.26789i | 0.301343 | − | 0.218938i | ||||
\(381\) | −10.5011 | − | 4.67537i | −0.537986 | − | 0.239527i | ||||
\(382\) | −2.93323 | + | 0.623476i | −0.150077 | + | 0.0318998i | ||||
\(383\) | 3.86897 | − | 36.8108i | 0.197695 | − | 1.88094i | −0.224553 | − | 0.974462i | \(-0.572092\pi\) |
0.422248 | − | 0.906480i | \(-0.361241\pi\) | |||||||
\(384\) | 0.669131 | + | 0.743145i | 0.0341464 | + | 0.0379235i | ||||
\(385\) | 1.92561 | − | 2.13861i | 0.0981384 | − | 0.108994i | ||||
\(386\) | −2.42349 | − | 23.0580i | −0.123353 | − | 1.17362i | ||||
\(387\) | 1.70796 | + | 5.25656i | 0.0868204 | + | 0.267206i | ||||
\(388\) | 4.11679 | + | 12.6702i | 0.208998 | + | 0.643230i | ||||
\(389\) | −1.12028 | − | 10.6587i | −0.0568004 | − | 0.540420i | −0.985511 | − | 0.169614i | \(-0.945748\pi\) |
0.928710 | − | 0.370806i | \(-0.120919\pi\) | |||||||
\(390\) | 3.35271 | − | 3.72356i | 0.169771 | − | 0.188550i | ||||
\(391\) | 6.41318 | + | 7.12256i | 0.324329 | + | 0.360203i | ||||
\(392\) | −0.115793 | + | 1.10170i | −0.00584843 | + | 0.0556441i | ||||
\(393\) | −15.4637 | + | 3.28692i | −0.780043 | + | 0.165803i | ||||
\(394\) | 6.77549 | + | 3.01664i | 0.341344 | + | 0.151976i | ||||
\(395\) | −4.95441 | + | 3.59959i | −0.249284 | + | 0.181115i | ||||
\(396\) | −1.08305 | + | 0.482205i | −0.0544253 | + | 0.0242317i | ||||
\(397\) | −4.59606 | + | 7.96061i | −0.230670 | + | 0.399532i | −0.958005 | − | 0.286750i | \(-0.907425\pi\) |
0.727336 | + | 0.686282i | \(0.240758\pi\) | |||||||
\(398\) | −1.42764 | − | 2.47274i | −0.0715611 | − | 0.123947i | ||||
\(399\) | 14.2591 | + | 10.3598i | 0.713848 | + | 0.518641i | ||||
\(400\) | −0.978148 | − | 0.207912i | −0.0489074 | − | 0.0103956i | ||||
\(401\) | 7.73412 | − | 23.8032i | 0.386223 | − | 1.18867i | −0.549366 | − | 0.835582i | \(-0.685131\pi\) |
0.935589 | − | 0.353091i | \(-0.114869\pi\) | |||||||
\(402\) | −10.7519 | −0.536257 | ||||||||
\(403\) | 27.5287 | − | 4.52146i | 1.37130 | − | 0.225230i | ||||
\(404\) | 18.0874 | 0.899879 | ||||||||
\(405\) | 0.309017 | − | 0.951057i | 0.0153552 | − | 0.0472584i | ||||
\(406\) | −3.46198 | − | 0.735867i | −0.171815 | − | 0.0365205i | ||||
\(407\) | −9.04290 | − | 6.57005i | −0.448240 | − | 0.325666i | ||||
\(408\) | −1.95845 | − | 3.39214i | −0.0969578 | − | 0.167936i | ||||
\(409\) | 15.3682 | − | 26.6185i | 0.759909 | − | 1.31620i | −0.182987 | − | 0.983115i | \(-0.558577\pi\) |
0.942896 | − | 0.333086i | \(-0.108090\pi\) | |||||||
\(410\) | 4.09171 | − | 1.82175i | 0.202075 | − | 0.0899697i | ||||
\(411\) | −17.4095 | + | 12.6488i | −0.858748 | + | 0.623917i | ||||
\(412\) | −10.5062 | − | 4.67765i | −0.517602 | − | 0.230451i | ||||
\(413\) | 10.0606 | − | 2.13845i | 0.495051 | − | 0.105226i | ||||
\(414\) | 0.255773 | − | 2.43352i | 0.0125706 | − | 0.119601i | ||||
\(415\) | −2.89878 | − | 3.21942i | −0.142296 | − | 0.158035i | ||||
\(416\) | −3.35271 | + | 3.72356i | −0.164380 | + | 0.182562i | ||||
\(417\) | 1.34593 | + | 12.8057i | 0.0659107 | + | 0.627098i | ||||
\(418\) | −2.66009 | − | 8.18690i | −0.130109 | − | 0.400434i | ||||
\(419\) | 4.37702 | + | 13.4711i | 0.213831 | + | 0.658105i | 0.999235 | + | 0.0391205i | \(0.0124556\pi\) |
−0.785403 | + | 0.618984i | \(0.787544\pi\) | |||||||
\(420\) | −0.253732 | − | 2.41409i | −0.0123808 | − | 0.117796i | ||||
\(421\) | 11.6123 | − | 12.8968i | 0.565948 | − | 0.628549i | −0.390447 | − | 0.920625i | \(-0.627679\pi\) |
0.956395 | + | 0.292076i | \(0.0943461\pi\) | |||||||
\(422\) | 0.831310 | + | 0.923263i | 0.0404675 | + | 0.0449437i | ||||
\(423\) | 1.23476 | − | 11.7479i | 0.0600359 | − | 0.571203i | ||||
\(424\) | −2.74900 | + | 0.584317i | −0.133503 | + | 0.0283770i | ||||
\(425\) | 3.57827 | + | 1.59315i | 0.173572 | + | 0.0772790i | ||||
\(426\) | 10.5784 | − | 7.68563i | 0.512524 | − | 0.372370i | ||||
\(427\) | −34.4284 | + | 15.3285i | −1.66611 | + | 0.741799i | ||||
\(428\) | −8.14279 | + | 14.1037i | −0.393597 | + | 0.681730i | ||||
\(429\) | −2.97011 | − | 5.14439i | −0.143398 | − | 0.248373i | ||||
\(430\) | 4.47150 | + | 3.24873i | 0.215635 | + | 0.156668i | ||||
\(431\) | 30.7556 | + | 6.53730i | 1.48144 | + | 0.314891i | 0.876510 | − | 0.481384i | \(-0.159866\pi\) |
0.604935 | + | 0.796275i | \(0.293199\pi\) | |||||||
\(432\) | −0.309017 | + | 0.951057i | −0.0148676 | + | 0.0457577i | ||||
\(433\) | −17.1822 | −0.825723 | −0.412861 | − | 0.910794i | \(-0.635471\pi\) | ||||
−0.412861 | + | 0.910794i | \(0.635471\pi\) | |||||||
\(434\) | 7.29601 | − | 11.3766i | 0.350220 | − | 0.546095i | ||||
\(435\) | −1.45808 | −0.0699095 | ||||||||
\(436\) | 4.78415 | − | 14.7241i | 0.229119 | − | 0.705157i | ||||
\(437\) | 17.3788 | + | 3.69397i | 0.831339 | + | 0.176707i | ||||
\(438\) | 10.3854 | + | 7.54541i | 0.496232 | + | 0.360534i | ||||
\(439\) | 13.5481 | + | 23.4660i | 0.646614 | + | 1.11997i | 0.983926 | + | 0.178576i | \(0.0571490\pi\) |
−0.337312 | + | 0.941393i | \(0.609518\pi\) | |||||||
\(440\) | −0.592773 | + | 1.02671i | −0.0282594 | + | 0.0489466i | ||||
\(441\) | −1.01199 | + | 0.450569i | −0.0481902 | + | 0.0214557i | ||||
\(442\) | 15.8776 | − | 11.5358i | 0.755221 | − | 0.548700i | ||||
\(443\) | 19.7707 | + | 8.80250i | 0.939336 | + | 0.418219i | 0.818535 | − | 0.574457i | \(-0.194787\pi\) |
0.120802 | + | 0.992677i | \(0.461454\pi\) | |||||||
\(444\) | −9.22223 | + | 1.96025i | −0.437668 | + | 0.0930292i | ||||
\(445\) | 0.369270 | − | 3.51337i | 0.0175051 | − | 0.166550i | ||||
\(446\) | −6.50087 | − | 7.21995i | −0.307825 | − | 0.341874i | ||||
\(447\) | −2.78309 | + | 3.09093i | −0.131635 | + | 0.146196i | ||||
\(448\) | 0.253732 | + | 2.41409i | 0.0119877 | + | 0.114055i | ||||
\(449\) | −4.32649 | − | 13.3156i | −0.204180 | − | 0.628401i | −0.999746 | − | 0.0225344i | \(-0.992826\pi\) |
0.795566 | − | 0.605867i | \(-0.207174\pi\) | |||||||
\(450\) | −0.309017 | − | 0.951057i | −0.0145672 | − | 0.0448332i | ||||
\(451\) | −0.555045 | − | 5.28090i | −0.0261360 | − | 0.248668i | ||||
\(452\) | 1.59888 | − | 1.77573i | 0.0752049 | − | 0.0835235i | ||||
\(453\) | 0.382710 | + | 0.425043i | 0.0179813 | + | 0.0199703i | ||||
\(454\) | 1.53121 | − | 14.5685i | 0.0718634 | − | 0.683734i | ||||
\(455\) | 11.8968 | − | 2.52874i | 0.557729 | − | 0.118549i | ||||
\(456\) | −6.63323 | − | 2.95330i | −0.310629 | − | 0.138301i | ||||
\(457\) | 20.6340 | − | 14.9915i | 0.965219 | − | 0.701273i | 0.0108624 | − | 0.999941i | \(-0.496542\pi\) |
0.954357 | + | 0.298668i | \(0.0965423\pi\) | |||||||
\(458\) | −5.77380 | + | 2.57066i | −0.269792 | + | 0.120119i | ||||
\(459\) | 1.95845 | − | 3.39214i | 0.0914127 | − | 0.158331i | ||||
\(460\) | −1.22346 | − | 2.11910i | −0.0570441 | − | 0.0988034i | ||||
\(461\) | 8.06073 | + | 5.85646i | 0.375426 | + | 0.272763i | 0.759457 | − | 0.650557i | \(-0.225465\pi\) |
−0.384032 | + | 0.923320i | \(0.625465\pi\) | |||||||
\(462\) | −2.81490 | − | 0.598325i | −0.130961 | − | 0.0278366i | ||||
\(463\) | 3.50133 | − | 10.7760i | 0.162721 | − | 0.500803i | −0.836140 | − | 0.548516i | \(-0.815193\pi\) |
0.998861 | + | 0.0477125i | \(0.0151931\pi\) | |||||||
\(464\) | 1.45808 | 0.0676896 | ||||||||
\(465\) | 1.96558 | − | 5.20927i | 0.0911518 | − | 0.241574i | ||||
\(466\) | 0.211546 | 0.00979970 | ||||||||
\(467\) | 0.670171 | − | 2.06257i | 0.0310118 | − | 0.0954446i | −0.934353 | − | 0.356350i | \(-0.884021\pi\) |
0.965364 | + | 0.260905i | \(0.0840211\pi\) | |||||||
\(468\) | −4.90105 | − | 1.04175i | −0.226551 | − | 0.0481549i | ||||
\(469\) | −21.1146 | − | 15.3407i | −0.974983 | − | 0.708367i | ||||
\(470\) | −5.90631 | − | 10.2300i | −0.272438 | − | 0.471876i | ||||
\(471\) | 4.18821 | − | 7.25420i | 0.192983 | − | 0.334256i | ||||
\(472\) | −3.87089 | + | 1.72343i | −0.178172 | + | 0.0793273i | ||||
\(473\) | 5.30116 | − | 3.85152i | 0.243748 | − | 0.177093i | ||||
\(474\) | 5.59454 | + | 2.49085i | 0.256966 | + | 0.114409i | ||||
\(475\) | 7.10230 | − | 1.50964i | 0.325876 | − | 0.0692671i | ||||
\(476\) | 0.993842 | − | 9.45578i | 0.0455527 | − | 0.433405i | ||||
\(477\) | −1.88053 | − | 2.08854i | −0.0861037 | − | 0.0956278i | ||||
\(478\) | −8.12499 | + | 9.02371i | −0.371628 | + | 0.412735i | ||||
\(479\) | 0.138884 | + | 1.32140i | 0.00634579 | + | 0.0603761i | 0.997237 | − | 0.0742922i | \(-0.0236698\pi\) |
−0.990891 | + | 0.134668i | \(0.957003\pi\) | |||||||
\(480\) | 0.309017 | + | 0.951057i | 0.0141046 | + | 0.0434096i | ||||
\(481\) | −14.5982 | − | 44.9286i | −0.665620 | − | 2.04857i | ||||
\(482\) | 1.10775 | + | 10.5395i | 0.0504567 | + | 0.480063i | ||||
\(483\) | 3.97439 | − | 4.41401i | 0.180841 | − | 0.200844i | ||||
\(484\) | −6.41996 | − | 7.13009i | −0.291816 | − | 0.324095i | ||||
\(485\) | −1.39255 | + | 13.2492i | −0.0632324 | + | 0.601616i | ||||
\(486\) | −0.978148 | + | 0.207912i | −0.0443697 | + | 0.00943107i | ||||
\(487\) | 25.5622 | + | 11.3810i | 1.15833 | + | 0.515723i | 0.893717 | − | 0.448631i | \(-0.148088\pi\) |
0.264615 | + | 0.964354i | \(0.414755\pi\) | |||||||
\(488\) | 12.5604 | − | 9.12569i | 0.568584 | − | 0.413100i | ||||
\(489\) | −16.5505 | + | 7.36874i | −0.748438 | + | 0.333226i | ||||
\(490\) | −0.553883 | + | 0.959354i | −0.0250219 | + | 0.0433392i | ||||
\(491\) | 9.35582 | + | 16.2048i | 0.422222 | + | 0.731310i | 0.996157 | − | 0.0875911i | \(-0.0279169\pi\) |
−0.573934 | + | 0.818901i | \(0.694584\pi\) | |||||||
\(492\) | −3.62354 | − | 2.63265i | −0.163362 | − | 0.118689i | ||||
\(493\) | −5.58635 | − | 1.18741i | −0.251596 | − | 0.0534785i | ||||
\(494\) | 11.2425 | − | 34.6008i | 0.505823 | − | 1.55676i | ||||
\(495\) | −1.18555 | −0.0532863 | ||||||||
\(496\) | −1.96558 | + | 5.20927i | −0.0882573 | + | 0.233903i | ||||
\(497\) | 31.7396 | 1.42371 | ||||||||
\(498\) | −1.33871 | + | 4.12013i | −0.0599891 | + | 0.184627i | ||||
\(499\) | 5.04830 | + | 1.07305i | 0.225993 | + | 0.0480363i | 0.319516 | − | 0.947581i | \(-0.396480\pi\) |
−0.0935233 | + | 0.995617i | \(0.529813\pi\) | |||||||
\(500\) | −0.809017 | − | 0.587785i | −0.0361803 | − | 0.0262866i | ||||
\(501\) | 9.51497 | + | 16.4804i | 0.425097 | + | 0.736290i | ||||
\(502\) | −10.7867 | + | 18.6831i | −0.481435 | + | 0.833870i | ||||
\(503\) | 32.1645 | − | 14.3206i | 1.43414 | − | 0.638522i | 0.465067 | − | 0.885276i | \(-0.346030\pi\) |
0.969078 | + | 0.246753i | \(0.0793637\pi\) | |||||||
\(504\) | −1.96380 | + | 1.42679i | −0.0874747 | + | 0.0635541i | ||||
\(505\) | 16.5236 | + | 7.35679i | 0.735291 | + | 0.327373i | ||||
\(506\) | −2.83755 | + | 0.603139i | −0.126144 | + | 0.0268128i | ||||
\(507\) | 1.26537 | − | 12.0392i | 0.0561972 | − | 0.534680i | ||||
\(508\) | 7.69155 | + | 8.54233i | 0.341257 | + | 0.379005i | ||||
\(509\) | 3.68439 | − | 4.09193i | 0.163308 | − | 0.181372i | −0.655937 | − | 0.754816i | \(-0.727726\pi\) |
0.819245 | + | 0.573444i | \(0.194393\pi\) | |||||||
\(510\) | −0.409428 | − | 3.89545i | −0.0181298 | − | 0.172493i | ||||
\(511\) | 9.62912 | + | 29.6354i | 0.425967 | + | 1.31099i | ||||
\(512\) | −0.309017 | − | 0.951057i | −0.0136568 | − | 0.0420312i | ||||
\(513\) | −0.758978 | − | 7.22119i | −0.0335097 | − | 0.318824i | ||||
\(514\) | 0.569004 | − | 0.631943i | 0.0250977 | − | 0.0278738i | ||||
\(515\) | −7.69529 | − | 8.54649i | −0.339095 | − | 0.376603i | ||||
\(516\) | 0.577736 | − | 5.49679i | 0.0254334 | − | 0.241983i | ||||
\(517\) | −13.6984 | + | 2.91168i | −0.602454 | + | 0.128056i | ||||
\(518\) | −20.9075 | − | 9.30861i | −0.918622 | − | 0.408997i | ||||
\(519\) | 13.0511 | − | 9.48219i | 0.572880 | − | 0.416222i | ||||
\(520\) | −4.57736 | + | 2.03797i | −0.200730 | + | 0.0893709i | ||||
\(521\) | 8.97805 | − | 15.5504i | 0.393336 | − | 0.681277i | −0.599551 | − | 0.800336i | \(-0.704654\pi\) |
0.992887 | + | 0.119059i | \(0.0379877\pi\) | |||||||
\(522\) | 0.729039 | + | 1.26273i | 0.0319092 | + | 0.0552683i | ||||
\(523\) | 24.2729 | + | 17.6353i | 1.06138 | + | 0.771136i | 0.974343 | − | 0.225069i | \(-0.0722607\pi\) |
0.0870353 | + | 0.996205i | \(0.472261\pi\) | |||||||
\(524\) | 15.4637 | + | 3.28692i | 0.675537 | + | 0.143590i | ||||
\(525\) | 0.750106 | − | 2.30859i | 0.0327373 | − | 0.100755i | ||||
\(526\) | 7.56502 | 0.329851 | ||||||||
\(527\) | 11.7730 | − | 18.3576i | 0.512841 | − | 0.799670i | ||||
\(528\) | 1.18555 | 0.0515943 | ||||||||
\(529\) | −5.25718 | + | 16.1799i | −0.228573 | + | 0.703475i | ||||
\(530\) | −2.74900 | − | 0.584317i | −0.119409 | − | 0.0253811i | ||||
\(531\) | −3.42798 | − | 2.49057i | −0.148762 | − | 0.108082i | ||||
\(532\) | −8.81261 | − | 15.2639i | −0.382075 | − | 0.661774i | ||||
\(533\) | 11.2210 | − | 19.4353i | 0.486033 | − | 0.841835i | ||||
\(534\) | −3.22730 | + | 1.43689i | −0.139659 | + | 0.0621802i | ||||
\(535\) | −13.1753 | + | 9.57243i | −0.569619 | + | 0.413852i | ||||
\(536\) | 9.82236 | + | 4.37320i | 0.424261 | + | 0.188893i | ||||
\(537\) | 3.30820 | − | 0.703180i | 0.142759 | − | 0.0303445i | ||||
\(538\) | 0.0150714 | − | 0.143395i | 0.000649774 | − | 0.00618219i | ||||
\(539\) | 0.878775 | + | 0.975978i | 0.0378515 | + | 0.0420383i | ||||
\(540\) | −0.669131 | + | 0.743145i | −0.0287948 | + | 0.0319799i | ||||
\(541\) | −2.29419 | − | 21.8278i | −0.0986350 | − | 0.938450i | −0.926188 | − | 0.377062i | \(-0.876934\pi\) |
0.827553 | − | 0.561388i | \(-0.189732\pi\) | |||||||
\(542\) | 5.71914 | + | 17.6017i | 0.245658 | + | 0.756057i | ||||
\(543\) | 0.930147 | + | 2.86270i | 0.0399164 | + | 0.122850i | ||||
\(544\) | 0.409428 | + | 3.89545i | 0.0175541 | + | 0.167016i | ||||
\(545\) | 10.3594 | − | 11.5052i | 0.443747 | − | 0.492831i | ||||
\(546\) | −8.13834 | − | 9.03854i | −0.348289 | − | 0.386814i | ||||
\(547\) | −3.08289 | + | 29.3318i | −0.131815 | + | 1.25414i | 0.706012 | + | 0.708200i | \(0.250492\pi\) |
−0.837827 | + | 0.545936i | \(0.816174\pi\) | |||||||
\(548\) | 21.0491 | − | 4.47412i | 0.899173 | − | 0.191125i | ||||
\(549\) | 14.1833 | + | 6.31481i | 0.605328 | + | 0.269509i | ||||
\(550\) | −0.959127 | + | 0.696847i | −0.0408973 | + | 0.0297136i | ||||
\(551\) | −9.67176 | + | 4.30614i | −0.412031 | + | 0.183448i | ||||
\(552\) | −1.22346 | + | 2.11910i | −0.0520739 | + | 0.0901947i | ||||
\(553\) | 7.43266 | + | 12.8738i | 0.316069 | + | 0.547448i | ||||
\(554\) | 20.8380 | + | 15.1397i | 0.885320 | + | 0.643223i | ||||
\(555\) | −9.22223 | − | 1.96025i | −0.391462 | − | 0.0832078i | ||||
\(556\) | 3.97898 | − | 12.2460i | 0.168746 | − | 0.519348i | ||||
\(557\) | 42.1476 | 1.78585 | 0.892926 | − | 0.450204i | \(-0.148649\pi\) | ||||
0.892926 | + | 0.450204i | \(0.148649\pi\) | |||||||
\(558\) | −5.49415 | + | 0.902388i | −0.232586 | + | 0.0382011i | ||||
\(559\) | 27.6936 | 1.17132 | ||||||||
\(560\) | −0.750106 | + | 2.30859i | −0.0316977 | + | 0.0975556i | ||||
\(561\) | −4.54220 | − | 0.965473i | −0.191772 | − | 0.0407623i | ||||
\(562\) | −19.6474 | − | 14.2747i | −0.828777 | − | 0.602142i | ||||
\(563\) | 3.16639 | + | 5.48434i | 0.133447 | + | 0.231138i | 0.925003 | − | 0.379959i | \(-0.124062\pi\) |
−0.791556 | + | 0.611097i | \(0.790729\pi\) | |||||||
\(564\) | −5.90631 | + | 10.2300i | −0.248701 | + | 0.430762i | ||||
\(565\) | 2.18290 | − | 0.971892i | 0.0918355 | − | 0.0408878i | ||||
\(566\) | −8.54142 | + | 6.20570i | −0.359023 | + | 0.260845i | ||||
\(567\) | −2.21753 | − | 0.987309i | −0.0931276 | − | 0.0414631i | ||||
\(568\) | −12.7898 | + | 2.71857i | −0.536650 | + | 0.114069i | ||||
\(569\) | −3.28945 | + | 31.2970i | −0.137901 | + | 1.31204i | 0.678520 | + | 0.734582i | \(0.262622\pi\) |
−0.816421 | + | 0.577457i | \(0.804045\pi\) | |||||||
\(570\) | −4.85854 | − | 5.39595i | −0.203502 | − | 0.226012i | ||||
\(571\) | −0.195657 | + | 0.217299i | −0.00818798 | + | 0.00909367i | −0.747225 | − | 0.664571i | \(-0.768614\pi\) |
0.739037 | + | 0.673665i | \(0.235281\pi\) | |||||||
\(572\) | 0.620923 | + | 5.90769i | 0.0259621 | + | 0.247013i | ||||
\(573\) | 0.926667 | + | 2.85199i | 0.0387121 | + | 0.119143i | ||||
\(574\) | −3.35968 | − | 10.3400i | −0.140230 | − | 0.431584i | ||||
\(575\) | −0.255773 | − | 2.43352i | −0.0106665 | − | 0.101485i | ||||
\(576\) | 0.669131 | − | 0.743145i | 0.0278804 | − | 0.0309644i | ||||
\(577\) | −4.07722 | − | 4.52821i | −0.169737 | − | 0.188512i | 0.652275 | − | 0.757983i | \(-0.273815\pi\) |
−0.822012 | + | 0.569471i | \(0.807148\pi\) | |||||||
\(578\) | −0.173294 | + | 1.64878i | −0.00720809 | + | 0.0685804i | ||||
\(579\) | −22.6784 | + | 4.82043i | −0.942480 | + | 0.200330i | ||||
\(580\) | 1.33202 | + | 0.593054i | 0.0553091 | + | 0.0246252i | ||||
\(581\) | −8.50751 | + | 6.18107i | −0.352951 | + | 0.256434i | ||||
\(582\) | 12.1704 | − | 5.41863i | 0.504481 | − | 0.224609i | ||||
\(583\) | −1.66594 | + | 2.88549i | −0.0689960 | + | 0.119505i | ||||
\(584\) | −6.41851 | − | 11.1172i | −0.265600 | − | 0.460032i | ||||
\(585\) | −4.05361 | − | 2.94512i | −0.167596 | − | 0.121766i | ||||
\(586\) | 17.2413 | + | 3.66476i | 0.712233 | + | 0.151390i | ||||
\(587\) | 2.17355 | − | 6.68950i | 0.0897121 | − | 0.276105i | −0.896127 | − | 0.443797i | \(-0.853631\pi\) |
0.985840 | + | 0.167691i | \(0.0536312\pi\) | |||||||
\(588\) | 1.10777 | 0.0456835 | ||||||||
\(589\) | −2.34638 | − | 40.3592i | −0.0966810 | − | 1.66297i | ||||
\(590\) | −4.23722 | −0.174443 | ||||||||
\(591\) | 2.29189 | − | 7.05370i | 0.0942756 | − | 0.290150i | ||||
\(592\) | 9.22223 | + | 1.96025i | 0.379031 | + | 0.0805656i | ||||
\(593\) | −4.55098 | − | 3.30648i | −0.186887 | − | 0.135781i | 0.490408 | − | 0.871493i | \(-0.336848\pi\) |
−0.677295 | + | 0.735712i | \(0.736848\pi\) | |||||||
\(594\) | 0.592773 | + | 1.02671i | 0.0243218 | + | 0.0421266i | ||||
\(595\) | 4.75393 | − | 8.23405i | 0.194892 | − | 0.337563i | ||||
\(596\) | 3.79967 | − | 1.69172i | 0.155641 | − | 0.0692956i | ||||
\(597\) | −2.30997 | + | 1.67829i | −0.0945407 | + | 0.0686878i | ||||
\(598\) | −11.2004 | − | 4.98675i | −0.458020 | − | 0.203924i | ||||
\(599\) | −20.7452 | + | 4.40954i | −0.847628 | + | 0.180169i | −0.611196 | − | 0.791479i | \(-0.709311\pi\) |
−0.236432 | + | 0.971648i | \(0.575978\pi\) | |||||||
\(600\) | −0.104528 | + | 0.994522i | −0.00426736 | + | 0.0406012i | ||||
\(601\) | 11.5582 | + | 12.8367i | 0.471470 | + | 0.523621i | 0.931235 | − | 0.364420i | \(-0.118733\pi\) |
−0.459764 | + | 0.888041i | \(0.652066\pi\) | |||||||
\(602\) | 8.97731 | − | 9.97031i | 0.365888 | − | 0.406359i | ||||
\(603\) | 1.12388 | + | 10.6930i | 0.0457680 | + | 0.435453i | ||||
\(604\) | −0.176743 | − | 0.543959i | −0.00719156 | − | 0.0221334i | ||||
\(605\) | −2.96486 | − | 9.12489i | −0.120539 | − | 0.370980i | ||||
\(606\) | −1.89064 | − | 17.9883i | −0.0768021 | − | 0.730723i | ||||
\(607\) | −23.8001 | + | 26.4327i | −0.966018 | + | 1.07287i | 0.0312874 | + | 0.999510i | \(0.490039\pi\) |
−0.997305 | + | 0.0733613i | \(0.976627\pi\) | |||||||
\(608\) | 4.85854 | + | 5.39595i | 0.197040 | + | 0.218835i | ||||
\(609\) | −0.369960 | + | 3.51994i | −0.0149916 | + | 0.142635i | ||||
\(610\) | 15.1863 | − | 3.22794i | 0.614874 | − | 0.130696i | ||||
\(611\) | −54.0706 | − | 24.0738i | −2.18746 | − | 0.973921i | ||||
\(612\) | −3.16884 | + | 2.30230i | −0.128093 | + | 0.0930649i | ||||
\(613\) | 16.5332 | − | 7.36105i | 0.667769 | − | 0.297310i | −0.0447133 | − | 0.999000i | \(-0.514237\pi\) |
0.712483 | + | 0.701690i | \(0.247571\pi\) | |||||||
\(614\) | 7.84919 | − | 13.5952i | 0.316767 | − | 0.548657i | ||||
\(615\) | −2.23947 | − | 3.87887i | −0.0903041 | − | 0.156411i | ||||
\(616\) | 2.32818 | + | 1.69152i | 0.0938050 | + | 0.0681533i | ||||
\(617\) | 14.8934 | + | 3.16570i | 0.599587 | + | 0.127446i | 0.497699 | − | 0.867350i | \(-0.334178\pi\) |
0.101888 | + | 0.994796i | \(0.467512\pi\) | |||||||
\(618\) | −3.55383 | + | 10.9376i | −0.142956 | + | 0.439973i | ||||
\(619\) | −35.2811 | −1.41807 | −0.709034 | − | 0.705175i | \(-0.750869\pi\) | ||||
−0.709034 | + | 0.705175i | \(0.750869\pi\) | |||||||
\(620\) | −3.91445 | + | 3.95943i | −0.157208 | + | 0.159014i | ||||
\(621\) | −2.44692 | −0.0981916 | ||||||||
\(622\) | 2.71503 | − | 8.35602i | 0.108863 | − | 0.335046i | ||||
\(623\) | −8.38791 | − | 1.78291i | −0.336055 | − | 0.0714306i | ||||
\(624\) | 4.05361 | + | 2.94512i | 0.162274 | + | 0.117899i | ||||
\(625\) | −0.500000 | − | 0.866025i | −0.0200000 | − | 0.0346410i | ||||
\(626\) | −4.52036 | + | 7.82950i | −0.180670 | + | 0.312930i | ||||
\(627\) | −7.86400 | + | 3.50128i | −0.314058 | + | 0.139828i | ||||
\(628\) | −6.77667 | + | 4.92354i | −0.270419 | + | 0.196471i | ||||
\(629\) | −33.7369 | − | 15.0206i | −1.34518 | − | 0.598911i | ||||
\(630\) | −2.37435 | + | 0.504683i | −0.0945963 | + | 0.0201071i | ||||
\(631\) | −1.84070 | + | 17.5131i | −0.0732771 | + | 0.697185i | 0.894789 | + | 0.446489i | \(0.147326\pi\) |
−0.968066 | + | 0.250695i | \(0.919341\pi\) | |||||||
\(632\) | −4.09775 | − | 4.55101i | −0.163000 | − | 0.181030i | ||||
\(633\) | 0.831310 | − | 0.923263i | 0.0330416 | − | 0.0366964i | ||||
\(634\) | 2.80375 | + | 26.6759i | 0.111351 | + | 1.05943i | ||||
\(635\) | 3.55210 | + | 10.9322i | 0.140961 | + | 0.433833i | ||||
\(636\) | 0.868465 | + | 2.67286i | 0.0344369 | + | 0.105986i | ||||
\(637\) | 0.580186 | + | 5.52010i | 0.0229878 | + | 0.218714i | ||||
\(638\) | 1.15667 | − | 1.28461i | 0.0457931 | − | 0.0508584i | ||||
\(639\) | −8.74927 | − | 9.71705i | −0.346116 | − | 0.384401i | ||||
\(640\) | 0.104528 | − | 0.994522i | 0.00413185 | − | 0.0393119i | ||||
\(641\) | −16.2218 | + | 3.44805i | −0.640722 | + | 0.136190i | −0.516805 | − | 0.856103i | \(-0.672879\pi\) |
−0.123917 | + | 0.992293i | \(0.539546\pi\) | |||||||
\(642\) | 14.8776 | + | 6.62395i | 0.587173 | + | 0.261426i | ||||
\(643\) | −13.6294 | + | 9.90237i | −0.537493 | + | 0.390511i | −0.823153 | − | 0.567820i | \(-0.807787\pi\) |
0.285660 | + | 0.958331i | \(0.407787\pi\) | |||||||
\(644\) | −5.42613 | + | 2.41587i | −0.213819 | + | 0.0951985i | ||||
\(645\) | 2.76354 | − | 4.78658i | 0.108814 | − | 0.188472i | ||||
\(646\) | −14.2203 | − | 24.6302i | −0.559489 | − | 0.969063i | ||||
\(647\) | 8.38997 | + | 6.09567i | 0.329844 | + | 0.239645i | 0.740364 | − | 0.672206i | \(-0.234653\pi\) |
−0.410521 | + | 0.911851i | \(0.634653\pi\) | |||||||
\(648\) | 0.978148 | + | 0.207912i | 0.0384253 | + | 0.00816754i | ||||
\(649\) | −1.55232 | + | 4.77755i | −0.0609339 | + | 0.187535i | ||||
\(650\) | −5.01054 | −0.196530 | ||||||||
\(651\) | −12.0769 | − | 6.06686i | −0.473333 | − | 0.237779i | ||||
\(652\) | 18.1167 | 0.709506 | ||||||||
\(653\) | 0.685937 | − | 2.11110i | 0.0268428 | − | 0.0826136i | −0.936738 | − | 0.350032i | \(-0.886171\pi\) |
0.963580 | + | 0.267419i | \(0.0861706\pi\) | |||||||
\(654\) | −15.1435 | − | 3.21885i | −0.592159 | − | 0.125867i | ||||
\(655\) | 12.7899 | + | 9.29243i | 0.499744 | + | 0.363085i | ||||
\(656\) | 2.23947 | + | 3.87887i | 0.0874366 | + | 0.151445i | ||||
\(657\) | 6.41851 | − | 11.1172i | 0.250410 | − | 0.433723i | ||||
\(658\) | −26.1949 | + | 11.6627i | −1.02118 | + | 0.454660i | ||||
\(659\) | −28.3776 | + | 20.6175i | −1.10543 | + | 0.803145i | −0.981939 | − | 0.189200i | \(-0.939410\pi\) |
−0.123495 | + | 0.992345i | \(0.539410\pi\) | |||||||
\(660\) | 1.08305 | + | 0.482205i | 0.0421577 | + | 0.0187698i | ||||
\(661\) | −8.46187 | + | 1.79863i | −0.329129 | + | 0.0699584i | −0.369512 | − | 0.929226i | \(-0.620475\pi\) |
0.0403838 | + | 0.999184i | \(0.487142\pi\) | |||||||
\(662\) | −2.87463 | + | 27.3502i | −0.111725 | + | 1.06300i | ||||
\(663\) | −13.1322 | − | 14.5848i | −0.510014 | − | 0.566427i | ||||
\(664\) | 2.89878 | − | 3.21942i | 0.112495 | − | 0.124938i | ||||
\(665\) | −1.84234 | − | 17.5287i | −0.0714428 | − | 0.679733i | ||||
\(666\) | 2.91349 | + | 8.96681i | 0.112896 | + | 0.347457i | ||||
\(667\) | 1.10251 | + | 3.39318i | 0.0426894 | + | 0.131384i | ||||
\(668\) | −1.98917 | − | 18.9257i | −0.0769633 | − | 0.732257i | ||||
\(669\) | −6.50087 | + | 7.21995i | −0.251338 | + | 0.279139i | ||||
\(670\) | 7.19444 | + | 7.99023i | 0.277945 | + | 0.308690i | ||||
\(671\) | 1.92398 | − | 18.3054i | 0.0742743 | − | 0.706673i | ||||
\(672\) | 2.37435 | − | 0.504683i | 0.0915925 | − | 0.0194686i | ||||
\(673\) | −6.35397 | − | 2.82897i | −0.244928 | − | 0.109049i | 0.280602 | − | 0.959824i | \(-0.409466\pi\) |
−0.525529 | + | 0.850775i | \(0.676133\pi\) | |||||||
\(674\) | −4.21180 | + | 3.06005i | −0.162232 | + | 0.117869i | ||||
\(675\) | −0.913545 | + | 0.406737i | −0.0351624 | + | 0.0156553i | ||||
\(676\) | −6.05277 | + | 10.4837i | −0.232799 | + | 0.403219i | ||||
\(677\) | 23.1353 | + | 40.0716i | 0.889163 | + | 1.54008i | 0.840867 | + | 0.541242i | \(0.182046\pi\) |
0.0482963 | + | 0.998833i | \(0.484621\pi\) | |||||||
\(678\) | −1.93314 | − | 1.40450i | −0.0742416 | − | 0.0539397i | ||||
\(679\) | 31.6315 | + | 6.72349i | 1.21391 | + | 0.258024i | ||||
\(680\) | −1.21039 | + | 3.72520i | −0.0464163 | + | 0.142855i | ||||
\(681\) | −14.6488 | −0.561342 | ||||||||
\(682\) | 3.03027 | + | 5.86418i | 0.116035 | + | 0.224551i | ||||
\(683\) | 15.9513 | 0.610358 | 0.305179 | − | 0.952295i | \(-0.401284\pi\) | ||||
0.305179 | + | 0.952295i | \(0.401284\pi\) | |||||||
\(684\) | −2.24376 | + | 6.90559i | −0.0857924 | + | 0.264042i | ||||
\(685\) | 21.0491 | + | 4.47412i | 0.804245 | + | 0.170948i | ||||
\(686\) | 15.9220 | + | 11.5680i | 0.607906 | + | 0.441670i | ||||
\(687\) | 3.16011 | + | 5.47347i | 0.120566 | + | 0.208826i | ||||
\(688\) | −2.76354 | + | 4.78658i | −0.105359 | + | 0.182487i | ||||
\(689\) | −12.8643 | + | 5.72754i | −0.490089 | + | 0.218202i | ||||
\(690\) | −1.97960 | + | 1.43826i | −0.0753621 | + | 0.0547538i | ||||
\(691\) | 20.4609 | + | 9.10977i | 0.778368 | + | 0.346552i | 0.757165 | − | 0.653223i | \(-0.226584\pi\) |
0.0212031 | + | 0.999775i | \(0.493250\pi\) | |||||||
\(692\) | −15.7795 | + | 3.35404i | −0.599848 | + | 0.127502i | ||||
\(693\) | −0.300811 | + | 2.86202i | −0.0114268 | + | 0.108719i | ||||
\(694\) | −12.0440 | − | 13.3762i | −0.457185 | − | 0.507755i | ||||
\(695\) | 8.61589 | − | 9.56891i | 0.326819 | − | 0.362970i | ||||
\(696\) | −0.152411 | − | 1.45009i | −0.00577711 | − | 0.0549655i | ||||
\(697\) | −5.42126 | − | 16.6849i | −0.205345 | − | 0.631987i | ||||
\(698\) | 1.16881 | + | 3.59723i | 0.0442401 | + | 0.136157i | ||||
\(699\) | −0.0221126 | − | 0.210388i | −0.000836376 | − | 0.00795759i | ||||
\(700\) | −1.62424 | + | 1.80390i | −0.0613906 | + | 0.0681812i | ||||
\(701\) | −13.1894 | − | 14.6483i | −0.498155 | − | 0.553258i | 0.440662 | − | 0.897673i | \(-0.354744\pi\) |
−0.938817 | + | 0.344416i | \(0.888077\pi\) | |||||||
\(702\) | −0.523744 | + | 4.98309i | −0.0197675 | + | 0.188075i | ||||
\(703\) | −66.9624 | + | 14.2333i | −2.52553 | + | 0.536819i | ||||
\(704\) | −1.08305 | − | 0.482205i | −0.0408190 | − | 0.0181738i | ||||
\(705\) | −9.55662 | + | 6.94329i | −0.359923 | + | 0.261499i | ||||
\(706\) | −6.30492 | + | 2.80713i | −0.237289 | + | 0.105648i | ||||
\(707\) | 21.9525 | − | 38.0229i | 0.825611 | − | 1.43000i | ||||
\(708\) | 2.11861 | + | 3.66954i | 0.0796222 | + | 0.137910i | ||||
\(709\) | −4.61290 | − | 3.35147i | −0.173241 | − | 0.125867i | 0.497786 | − | 0.867300i | \(-0.334147\pi\) |
−0.671027 | + | 0.741433i | \(0.734147\pi\) | |||||||
\(710\) | −12.7898 | − | 2.71857i | −0.479995 | − | 0.102026i | ||||
\(711\) | 1.89242 | − | 5.82426i | 0.0709712 | − | 0.218427i | ||||
\(712\) | 3.53272 | 0.132394 | ||||||||
\(713\) | −13.6091 | − | 0.635292i | −0.509663 | − | 0.0237919i | ||||
\(714\) | −9.50786 | −0.355823 | ||||||||
\(715\) | −1.83563 | + | 5.64949i | −0.0686487 | + | 0.211279i | ||||
\(716\) | −3.30820 | − | 0.703180i | −0.123633 | − | 0.0262791i | ||||
\(717\) | 9.82357 | + | 7.13724i | 0.366868 | + | 0.266545i | ||||
\(718\) | −3.22320 | − | 5.58274i | −0.120289 | − | 0.208346i | ||||
\(719\) | −9.74751 | + | 16.8832i | −0.363521 | + | 0.629637i | −0.988538 | − | 0.150975i | \(-0.951759\pi\) |
0.625017 | + | 0.780611i | \(0.285092\pi\) | |||||||
\(720\) | 0.913545 | − | 0.406737i | 0.0340458 | − | 0.0151582i | ||||
\(721\) | −22.5846 | + | 16.4087i | −0.841093 | + | 0.611090i | ||||
\(722\) | −30.8063 | − | 13.7158i | −1.14649 | − | 0.510451i | ||||
\(723\) | 10.3660 | − | 2.20337i | 0.385516 | − | 0.0819440i | ||||
\(724\) | 0.314633 | − | 2.99353i | 0.0116932 | − | 0.111254i | ||||
\(725\) | 0.975644 | + | 1.08356i | 0.0362345 | + | 0.0402425i | ||||
\(726\) | −6.41996 | + | 7.13009i | −0.238267 | + | 0.264622i | ||||
\(727\) | −3.41047 | − | 32.4484i | −0.126487 | − | 1.20345i | −0.855079 | − | 0.518498i | \(-0.826492\pi\) |
0.728592 | − | 0.684948i | \(-0.240175\pi\) | |||||||
\(728\) | 3.75844 | + | 11.5673i | 0.139297 | + | 0.428712i | ||||
\(729\) | 0.309017 | + | 0.951057i | 0.0114451 | + | 0.0352243i | ||||
\(730\) | −1.34183 | − | 12.7667i | −0.0496635 | − | 0.472517i | ||||
\(731\) | 14.4860 | − | 16.0883i | 0.535785 | − | 0.595049i | ||||
\(732\) | −10.3886 | − | 11.5377i | −0.383974 | − | 0.426447i | ||||
\(733\) | −2.12434 | + | 20.2118i | −0.0784644 | + | 0.746539i | 0.882583 | + | 0.470156i | \(0.155802\pi\) |
−0.961048 | + | 0.276383i | \(0.910864\pi\) | |||||||
\(734\) | −3.80434 | + | 0.808637i | −0.140421 | + | 0.0298474i | ||||
\(735\) | 1.01199 | + | 0.450569i | 0.0373280 | + | 0.0166195i | ||||
\(736\) | 1.97960 | − | 1.43826i | 0.0729691 | − | 0.0530151i | ||||
\(737\) | 11.6449 | − | 5.18463i | 0.428944 | − | 0.190978i | ||||
\(738\) | −2.23947 | + | 3.87887i | −0.0824360 | + | 0.142783i | ||||
\(739\) | 0.529226 | + | 0.916646i | 0.0194679 | + | 0.0337194i | 0.875595 | − | 0.483046i | \(-0.160469\pi\) |
−0.856127 | + | 0.516765i | \(0.827136\pi\) | |||||||
\(740\) | 7.62763 | + | 5.54179i | 0.280397 | + | 0.203720i | ||||
\(741\) | −35.5864 | − | 7.56412i | −1.30730 | − | 0.277875i | ||||
\(742\) | −2.10811 | + | 6.48808i | −0.0773910 | + | 0.238185i | ||||
\(743\) | 52.8036 | 1.93718 | 0.968588 | − | 0.248669i | \(-0.0799932\pi\) | ||||
0.968588 | + | 0.248669i | \(0.0799932\pi\) | |||||||
\(744\) | 5.38619 | + | 1.41030i | 0.197467 | + | 0.0517041i | ||||
\(745\) | 4.15926 | 0.152383 | ||||||||
\(746\) | 1.29827 | − | 3.99566i | 0.0475330 | − | 0.146292i | ||||
\(747\) | 4.23749 | + | 0.900707i | 0.155042 | + | 0.0329552i | ||||
\(748\) | 3.75681 | + | 2.72948i | 0.137363 | + | 0.0997997i | ||||
\(749\) | 19.7658 | + | 34.2353i | 0.722225 | + | 1.25093i | ||||
\(750\) | −0.500000 | + | 0.866025i | −0.0182574 | + | 0.0316228i | ||||
\(751\) | −2.60198 | + | 1.15848i | −0.0949477 | + | 0.0422734i | −0.453661 | − | 0.891174i | \(-0.649882\pi\) |
0.358713 | + | 0.933448i | \(0.383216\pi\) | |||||||
\(752\) | 9.55662 | − | 6.94329i | 0.348494 | − | 0.253196i | ||||
\(753\) | 19.7083 | + | 8.77471i | 0.718211 | + | 0.319768i | ||||
\(754\) | 7.14611 | − | 1.51895i | 0.260246 | − | 0.0553170i | ||||
\(755\) | 0.0597852 | − | 0.568819i | 0.00217581 | − | 0.0207014i | ||||
\(756\) | 1.62424 | + | 1.80390i | 0.0590731 | + | 0.0656074i | ||||
\(757\) | −28.2341 | + | 31.3571i | −1.02619 | + | 1.13969i | −0.0360828 | + | 0.999349i | \(0.511488\pi\) |
−0.990103 | + | 0.140345i | \(0.955179\pi\) | |||||||
\(758\) | −2.78386 | − | 26.4866i | −0.101114 | − | 0.962037i | ||||
\(759\) | 0.896439 | + | 2.75896i | 0.0325387 | + | 0.100144i | ||||
\(760\) | 2.24376 | + | 6.90559i | 0.0813898 | + | 0.250492i | ||||
\(761\) | −5.11313 | − | 48.6482i | −0.185351 | − | 1.76350i | −0.552670 | − | 0.833400i | \(-0.686391\pi\) |
0.367319 | − | 0.930095i | \(-0.380276\pi\) | |||||||
\(762\) | 7.69155 | − | 8.54233i | 0.278636 | − | 0.309456i | ||||
\(763\) | −25.1463 | − | 27.9277i | −0.910356 | − | 1.01105i | ||||
\(764\) | 0.313455 | − | 2.98233i | 0.0113404 | − | 0.107897i | ||||
\(765\) | −3.83131 | + | 0.814370i | −0.138521 | + | 0.0294436i | ||||
\(766\) | 33.8135 | + | 15.0548i | 1.22173 | + | 0.543950i | ||||
\(767\) | −17.1760 | + | 12.4791i | −0.620191 | + | 0.450595i | ||||
\(768\) | −0.913545 | + | 0.406737i | −0.0329647 | + | 0.0146768i | ||||
\(769\) | −18.3535 | + | 31.7892i | −0.661844 | + | 1.14635i | 0.318287 | + | 0.947995i | \(0.396893\pi\) |
−0.980131 | + | 0.198353i | \(0.936441\pi\) | |||||||
\(770\) | 1.43889 | + | 2.49224i | 0.0518541 | + | 0.0898140i | ||||
\(771\) | −0.687958 | − | 0.499831i | −0.0247762 | − | 0.0180010i | ||||
\(772\) | 22.6784 | + | 4.82043i | 0.816212 | + | 0.173491i | ||||
\(773\) | 6.14591 | − | 18.9152i | 0.221053 | − | 0.680331i | −0.777615 | − | 0.628740i | \(-0.783571\pi\) |
0.998668 | − | 0.0515908i | \(-0.0164291\pi\) | |||||||
\(774\) | −5.52707 | −0.198666 | ||||||||
\(775\) | −5.18647 | + | 2.02497i | −0.186304 | + | 0.0727390i | ||||
\(776\) | −13.3222 | −0.478239 | ||||||||
\(777\) | −7.07219 | + | 21.7660i | −0.253714 | + | 0.780850i | ||||
\(778\) | 10.4833 | + | 2.22828i | 0.375843 | + | 0.0798879i | ||||
\(779\) | −26.3104 | − | 19.1156i | −0.942668 | − | 0.684888i | ||||
\(780\) | 2.50527 | + | 4.33926i | 0.0897031 | + | 0.155370i | ||||
\(781\) | −7.75085 | + | 13.4249i | −0.277347 | + | 0.480380i | ||||
\(782\) | −8.75574 | + | 3.89831i | −0.313105 | + | 0.139403i | ||||
\(783\) | 1.17961 | − | 0.857037i | 0.0421558 | − | 0.0306280i | ||||
\(784\) | −1.01199 | − | 0.450569i | −0.0361427 | − | 0.0160918i | ||||
\(785\) | −8.19338 | + | 1.74156i | −0.292434 | + | 0.0621588i | ||||
\(786\) | 1.65251 | − | 15.7226i | 0.0589432 | − | 0.560807i | ||||
\(787\) | −7.81102 | − | 8.67502i | −0.278433 | − | 0.309231i | 0.587666 | − | 0.809104i | \(-0.300047\pi\) |
−0.866099 | + | 0.499872i | \(0.833380\pi\) | |||||||
\(788\) | −4.96274 | + | 5.51168i | −0.176790 | + | 0.196345i | ||||
\(789\) | −0.790760 | − | 7.52358i | −0.0281518 | − | 0.267846i | ||||
\(790\) | −1.89242 | − | 5.82426i | −0.0673292 | − | 0.207218i | ||||
\(791\) | −1.79237 | − | 5.51634i | −0.0637292 | − | 0.196138i | ||||
\(792\) | −0.123923 | − | 1.17905i | −0.00440342 | − | 0.0418958i | ||||
\(793\) | 52.0526 | − | 57.8103i | 1.84844 | − | 2.05290i | ||||
\(794\) | −6.15073 | − | 6.83108i | −0.218281 | − | 0.242426i | ||||
\(795\) | −0.293768 | + | 2.79502i | −0.0104189 | + | 0.0991290i | ||||
\(796\) | 2.79288 | − | 0.593646i | 0.0989911 | − | 0.0210412i | ||||
\(797\) | −9.35467 | − | 4.16497i | −0.331360 | − | 0.147531i | 0.234312 | − | 0.972161i | \(-0.424716\pi\) |
−0.565671 | + | 0.824631i | \(0.691383\pi\) | |||||||
\(798\) | −14.2591 | + | 10.3598i | −0.504767 | + | 0.366735i | ||||
\(799\) | −42.2688 | + | 18.8193i | −1.49536 | + | 0.665778i | ||||
\(800\) | 0.500000 | − | 0.866025i | 0.0176777 | − | 0.0306186i | ||||
\(801\) | 1.76636 | + | 3.05943i | 0.0624113 | + | 0.108100i | ||||
\(802\) | 20.2482 | + | 14.7112i | 0.714988 | + | 0.519469i | ||||
\(803\) | −14.8863 | − | 3.16418i | −0.525327 | − | 0.111662i | ||||
\(804\) | 3.32252 | − | 10.2257i | 0.117176 | − | 0.360632i | ||||
\(805\) | −5.93964 | −0.209345 | ||||||||
\(806\) | −4.20667 | + | 27.5785i | −0.148174 | + | 0.971412i | ||||
\(807\) | −0.144185 | −0.00507554 | ||||||||
\(808\) | −5.58930 | + | 17.2021i | −0.196631 | + | 0.605168i | ||||
\(809\) | −13.9694 | − | 2.96928i | −0.491137 | − | 0.104394i | −0.0443155 | − | 0.999018i | \(-0.514111\pi\) |
−0.446821 | + | 0.894623i | \(0.647444\pi\) | |||||||
\(810\) | 0.809017 | + | 0.587785i | 0.0284260 | + | 0.0206527i | ||||
\(811\) | −4.21289 | − | 7.29694i | −0.147935 | − | 0.256230i | 0.782529 | − | 0.622614i | \(-0.213929\pi\) |
−0.930464 | + | 0.366383i | \(0.880596\pi\) | |||||||
\(812\) | 1.76966 | − | 3.06515i | 0.0621030 | − | 0.107566i | ||||
\(813\) | 16.9075 | − | 7.52768i | 0.592970 | − | 0.264007i | ||||
\(814\) | 9.04290 | − | 6.57005i | 0.316954 | − | 0.230280i | ||||
\(815\) | 16.5505 | + | 7.36874i | 0.579737 | + | 0.258116i | ||||
\(816\) | 3.83131 | − | 0.814370i | 0.134123 | − | 0.0285087i | ||||
\(817\) | 4.19493 | − | 39.9121i | 0.146762 | − | 1.39635i | ||||
\(818\) | 20.5667 | + | 22.8416i | 0.719097 | + | 0.798638i | ||||
\(819\) | −8.13834 | + | 9.03854i | −0.284376 | + | 0.315832i | ||||
\(820\) | 0.468177 | + | 4.45440i | 0.0163494 | + | 0.155554i | ||||
\(821\) | 4.40303 | + | 13.5511i | 0.153667 | + | 0.472938i | 0.998023 | − | 0.0628437i | \(-0.0200170\pi\) |
−0.844356 | + | 0.535782i | \(0.820017\pi\) | |||||||
\(822\) | −6.64985 | − | 20.4661i | −0.231940 | − | 0.713838i | ||||
\(823\) | −1.95994 | − | 18.6476i | −0.0683193 | − | 0.650014i | −0.974077 | − | 0.226218i | \(-0.927364\pi\) |
0.905757 | − | 0.423797i | \(-0.139303\pi\) | |||||||
\(824\) | 7.69529 | − | 8.54649i | 0.268078 | − | 0.297731i | ||||
\(825\) | 0.793285 | + | 0.881033i | 0.0276187 | + | 0.0306736i | ||||
\(826\) | −1.07512 | + | 10.2290i | −0.0374081 | + | 0.355914i | ||||
\(827\) | −48.6359 | + | 10.3379i | −1.69123 | + | 0.359483i | −0.950117 | − | 0.311892i | \(-0.899037\pi\) |
−0.741117 | + | 0.671375i | \(0.765704\pi\) | |||||||
\(828\) | 2.23537 | + | 0.995252i | 0.0776846 | + | 0.0345874i | ||||
\(829\) | 8.80867 | − | 6.39987i | 0.305938 | − | 0.222277i | −0.424214 | − | 0.905562i | \(-0.639449\pi\) |
0.730152 | + | 0.683285i | \(0.239449\pi\) | |||||||
\(830\) | 3.95763 | − | 1.76205i | 0.137371 | − | 0.0611616i | ||||
\(831\) | 12.8786 | − | 22.3063i | 0.446753 | − | 0.773798i | ||||
\(832\) | −2.50527 | − | 4.33926i | −0.0868546 | − | 0.150437i | ||||
\(833\) | 3.51033 | + | 2.55041i | 0.121626 | + | 0.0883664i | ||||
\(834\) | −12.5949 | − | 2.67712i | −0.436125 | − | 0.0927011i | ||||
\(835\) | 5.88057 | − | 18.0985i | 0.203506 | − | 0.626326i | ||||
\(836\) | 8.60822 | 0.297721 | ||||||||
\(837\) | 1.47174 | + | 5.36973i | 0.0508708 | + | 0.185605i | ||||
\(838\) | −14.1643 | −0.489298 | ||||||||
\(839\) | 4.52885 | − | 13.9384i | 0.156353 | − | 0.481205i | −0.841942 | − | 0.539567i | \(-0.818588\pi\) |
0.998295 | + | 0.0583621i | \(0.0185878\pi\) | |||||||
\(840\) | 2.37435 | + | 0.504683i | 0.0819228 | + | 0.0174132i | ||||
\(841\) | 21.7415 | + | 15.7961i | 0.749708 | + | 0.544695i | ||||
\(842\) | 8.67715 | + | 15.0293i | 0.299034 | + | 0.517942i | ||||
\(843\) | −12.1428 | + | 21.0319i | −0.418220 | + | 0.724378i | ||||
\(844\) | −1.13496 | + | 0.505319i | −0.0390671 | + | 0.0173938i | ||||
\(845\) | −9.79358 | + | 7.11545i | −0.336909 | + | 0.244779i | ||||
\(846\) | 10.7914 | + | 4.80463i | 0.371015 | + | 0.165187i | ||||
\(847\) | −22.7806 | + | 4.84217i | −0.782752 | + | 0.166379i | ||||
\(848\) | 0.293768 | − | 2.79502i | 0.0100880 | − | 0.0959812i | ||||
\(849\) | 7.06453 | + | 7.84596i | 0.242454 | + | 0.269272i | ||||
\(850\) | −2.62092 | + | 2.91083i | −0.0898968 | + | 0.0998405i | ||||
\(851\) | 2.41149 | + | 22.9438i | 0.0826650 | + | 0.786505i | ||||
\(852\) | 4.04058 | + | 12.4356i | 0.138428 | + | 0.426037i | ||||
\(853\) | −4.99111 | − | 15.3610i | −0.170892 | − | 0.525952i | 0.828530 | − | 0.559945i | \(-0.189178\pi\) |
−0.999422 | + | 0.0339927i | \(0.989178\pi\) | |||||||
\(854\) | −3.93932 | − | 37.4801i | −0.134801 | − | 1.28254i | ||||
\(855\) | −4.85854 | + | 5.39595i | −0.166158 | + | 0.184538i | ||||
\(856\) | −10.8972 | − | 12.1026i | −0.372458 | − | 0.413657i | ||||
\(857\) | −0.895623 | + | 8.52128i | −0.0305939 | + | 0.291081i | 0.968518 | + | 0.248944i | \(0.0800835\pi\) |
−0.999112 | + | 0.0421376i | \(0.986583\pi\) | |||||||
\(858\) | 5.81042 | − | 1.23504i | 0.198365 | − | 0.0421637i | ||||
\(859\) | −37.9451 | − | 16.8942i | −1.29467 | − | 0.576424i | −0.360336 | − | 0.932823i | \(-0.617338\pi\) |
−0.934334 | + | 0.356398i | \(0.884005\pi\) | |||||||
\(860\) | −4.47150 | + | 3.24873i | −0.152477 | + | 0.110781i | ||||
\(861\) | −9.93219 | + | 4.42210i | −0.338488 | + | 0.150705i | ||||
\(862\) | −15.7213 | + | 27.2302i | −0.535471 | + | 0.927463i | ||||
\(863\) | 0.799072 | + | 1.38403i | 0.0272007 | + | 0.0471130i | 0.879305 | − | 0.476258i | \(-0.158007\pi\) |
−0.852105 | + | 0.523372i | \(0.824674\pi\) | |||||||
\(864\) | −0.809017 | − | 0.587785i | −0.0275233 | − | 0.0199969i | ||||
\(865\) | −15.7795 | − | 3.35404i | −0.536520 | − | 0.114041i | ||||
\(866\) | 5.30958 | − | 16.3412i | 0.180427 | − | 0.555297i | ||||
\(867\) | 1.65787 | 0.0563041 | ||||||||
\(868\) | 8.56522 | + | 10.4545i | 0.290722 | + | 0.354848i | ||||
\(869\) | −7.26027 | −0.246288 | ||||||||
\(870\) | 0.450571 | − | 1.38671i | 0.0152758 | − | 0.0470140i | ||||
\(871\) | 52.6957 | + | 11.2008i | 1.78552 | + | 0.379525i | ||||
\(872\) | 12.5251 | + | 9.10000i | 0.424152 | + | 0.308165i | ||||
\(873\) | −6.66110 | − | 11.5374i | −0.225444 | − | 0.390481i | ||||
\(874\) | −8.88351 | + | 15.3867i | −0.300489 | + | 0.520463i | ||||
\(875\) | −2.21753 | + | 0.987309i | −0.0749663 | + | 0.0333772i | ||||
\(876\) | −10.3854 | + | 7.54541i | −0.350889 | + | 0.254936i | ||||
\(877\) | 38.1797 | + | 16.9987i | 1.28924 | + | 0.574005i | 0.932827 | − | 0.360325i | \(-0.117334\pi\) |
0.356410 | + | 0.934330i | \(0.384001\pi\) | |||||||
\(878\) | −26.5040 | + | 5.63361i | −0.894468 | + | 0.190125i | ||||
\(879\) | 1.84247 | − | 17.5299i | 0.0621450 | − | 0.591270i | ||||
\(880\) | −0.793285 | − | 0.881033i | −0.0267416 | − | 0.0296996i | ||||
\(881\) | −11.8394 | + | 13.1490i | −0.398881 | + | 0.443002i | −0.908807 | − | 0.417216i | \(-0.863006\pi\) |
0.509927 | + | 0.860218i | \(0.329673\pi\) | |||||||
\(882\) | −0.115793 | − | 1.10170i | −0.00389896 | − | 0.0370961i | ||||
\(883\) | −2.68730 | − | 8.27066i | −0.0904348 | − | 0.278330i | 0.895602 | − | 0.444856i | \(-0.146745\pi\) |
−0.986037 | + | 0.166526i | \(0.946745\pi\) | |||||||
\(884\) | 6.06471 | + | 18.6653i | 0.203978 | + | 0.627780i | ||||
\(885\) | 0.442910 | + | 4.21400i | 0.0148882 | + | 0.141652i | ||||
\(886\) | −14.4812 | + | 16.0830i | −0.486504 | + | 0.540318i | ||||
\(887\) | 33.2360 | + | 36.9123i | 1.11596 | + | 1.23939i | 0.968148 | + | 0.250378i | \(0.0805548\pi\) |
0.147807 | + | 0.989016i | \(0.452779\pi\) | |||||||
\(888\) | 0.985522 | − | 9.37662i | 0.0330720 | − | 0.314659i | ||||
\(889\) | 27.2928 | − | 5.80126i | 0.915370 | − | 0.194568i | ||||
\(890\) | 3.22730 | + | 1.43689i | 0.108179 | + | 0.0481646i | ||||
\(891\) | 0.959127 | − | 0.696847i | 0.0321320 | − | 0.0233452i | ||||
\(892\) | 8.87546 | − | 3.95161i | 0.297172 | − | 0.132310i | ||||
\(893\) | −42.8856 | + | 74.2800i | −1.43511 | + | 2.48568i | ||||
\(894\) | −2.07963 | − | 3.60202i | −0.0695532 | − | 0.120470i | ||||
\(895\) | −2.73618 | − | 1.98795i | −0.0914605 | − | 0.0664500i | ||||
\(896\) | −2.37435 | − | 0.504683i | −0.0793214 | − | 0.0168603i | ||||
\(897\) | −3.78867 | + | 11.6603i | −0.126500 | + | 0.389327i | ||||
\(898\) | 14.0008 | 0.467214 | ||||||||
\(899\) | 6.78316 | − | 4.46033i | 0.226231 | − | 0.148760i | ||||
\(900\) | 1.00000 | 0.0333333 | ||||||||
\(901\) | −3.40169 | + | 10.4693i | −0.113327 | + | 0.348784i | ||||
\(902\) | 5.19395 | + | 1.10401i | 0.172940 | + | 0.0367595i | ||||
\(903\) | −10.8541 | − | 7.88595i | −0.361201 | − | 0.262428i | ||||
\(904\) | 1.19474 | + | 2.06936i | 0.0397366 | + | 0.0688258i | ||||
\(905\) | 1.50501 | − | 2.60675i | 0.0500282 | − | 0.0866514i | ||||
\(906\) | −0.522504 | + | 0.232634i | −0.0173590 | + | 0.00772874i | ||||
\(907\) | 10.9706 | − | 7.97058i | 0.364272 | − | 0.264659i | −0.390560 | − | 0.920577i | \(-0.627719\pi\) |
0.754832 | + | 0.655919i | \(0.227719\pi\) | |||||||
\(908\) | 13.3823 | + | 5.95819i | 0.444107 | + | 0.197729i | ||||
\(909\) | −17.6921 | + | 3.76057i | −0.586810 | + | 0.124730i | ||||
\(910\) | −1.27133 | + | 12.0959i | −0.0421443 | + | 0.400976i | ||||
\(911\) | 0.322092 | + | 0.357720i | 0.0106714 | + | 0.0118518i | 0.748457 | − | 0.663183i | \(-0.230795\pi\) |
−0.737786 | + | 0.675035i | \(0.764128\pi\) | |||||||
\(912\) | 4.85854 | − | 5.39595i | 0.160882 | − | 0.178678i | ||||
\(913\) | −0.536856 | − | 5.10784i | −0.0177673 | − | 0.169045i | ||||
\(914\) | 7.88150 | + | 24.2568i | 0.260697 | + | 0.802342i | ||||
\(915\) | −4.79766 | − | 14.7657i | −0.158606 | − | 0.488138i | ||||
\(916\) | −0.660642 | − | 6.28559i | −0.0218282 | − | 0.207682i | ||||
\(917\) | 25.6780 | − | 28.5183i | 0.847962 | − | 0.941758i | ||||
\(918\) | 2.62092 | + | 2.91083i | 0.0865033 | + | 0.0960716i | ||||
\(919\) | −0.182849 | + | 1.73969i | −0.00603162 | + | 0.0573870i | −0.997124 | − | 0.0757914i | \(-0.975852\pi\) |
0.991092 | + | 0.133178i | \(0.0425183\pi\) | |||||||
\(920\) | 2.39345 | − | 0.508744i | 0.0789097 | − | 0.0167728i | ||||
\(921\) | −14.3412 | − | 6.38510i | −0.472558 | − | 0.210396i | ||||
\(922\) | −8.06073 | + | 5.85646i | −0.265466 | + | 0.192872i | ||||
\(923\) | −59.8516 | + | 26.6477i | −1.97004 | + | 0.877118i | ||||
\(924\) | 1.43889 | − | 2.49224i | 0.0473361 | − | 0.0819885i | ||||
\(925\) | 4.71413 | + | 8.16512i | 0.155000 | + | 0.268467i | ||||
\(926\) | 9.16661 | + | 6.65993i | 0.301234 | + | 0.218859i | ||||
\(927\) | 11.2491 | + | 2.39107i | 0.369470 | + | 0.0785332i | ||||
\(928\) | −0.450571 | + | 1.38671i | −0.0147907 | + | 0.0455211i | ||||
\(929\) | −21.6038 | −0.708798 | −0.354399 | − | 0.935094i | \(-0.615314\pi\) | ||||
−0.354399 | + | 0.935094i | \(0.615314\pi\) | |||||||
\(930\) | 4.34691 | + | 3.47913i | 0.142541 | + | 0.114085i | ||||
\(931\) | 8.04346 | 0.263614 | ||||||||
\(932\) | −0.0653714 | + | 0.201193i | −0.00214131 | + | 0.00659028i | ||||
\(933\) | −8.59404 | − | 1.82672i | −0.281356 | − | 0.0598041i | ||||
\(934\) | 1.75453 | + | 1.27474i | 0.0574100 | + | 0.0417108i | ||||
\(935\) | 2.32184 | + | 4.02154i | 0.0759321 | + | 0.131518i | ||||
\(936\) | 2.50527 | − | 4.33926i | 0.0818873 | − | 0.141833i | ||||
\(937\) | 51.3336 | − | 22.8552i | 1.67700 | − | 0.746647i | 0.677053 | − | 0.735934i | \(-0.263257\pi\) |
0.999943 | − | 0.0107124i | \(-0.00340992\pi\) | |||||||
\(938\) | 21.1146 | − | 15.3407i | 0.689417 | − | 0.500891i | ||||
\(939\) | 8.25912 | + | 3.67720i | 0.269526 | + | 0.120001i | ||||
\(940\) | 11.5545 | − | 2.45598i | 0.376866 | − | 0.0801053i | ||||
\(941\) | −0.191849 | + | 1.82532i | −0.00625410 | + | 0.0595038i | −0.997204 | − | 0.0747298i | \(-0.976191\pi\) |
0.990950 | + | 0.134234i | \(0.0428572\pi\) | |||||||
\(942\) | 5.60492 | + | 6.22490i | 0.182618 | + | 0.202818i | ||||
\(943\) | −7.33341 | + | 8.14458i | −0.238809 | + | 0.265224i | ||||
\(944\) | −0.442910 | − | 4.21400i | −0.0144155 | − | 0.137154i | ||||
\(945\) | 0.750106 | + | 2.30859i | 0.0244009 | + | 0.0750984i | ||||
\(946\) | 2.02486 | + | 6.23189i | 0.0658340 | + | 0.202616i | ||||
\(947\) | −2.53315 | − | 24.1013i | −0.0823163 | − | 0.783187i | −0.955340 | − | 0.295509i | \(-0.904511\pi\) |
0.873024 | − | 0.487678i | \(-0.162156\pi\) | |||||||
\(948\) | −4.09775 | + | 4.55101i | −0.133089 | + | 0.147810i | ||||
\(949\) | −43.0388 | − | 47.7994i | −1.39710 | − | 1.55163i | ||||
\(950\) | −0.758978 | + | 7.22119i | −0.0246245 | + | 0.234286i | ||||
\(951\) | 26.2367 | − | 5.57678i | 0.850782 | − | 0.180839i | ||||
\(952\) | 8.68586 | + | 3.86720i | 0.281510 | + | 0.125337i | ||||
\(953\) | −18.8305 | + | 13.6811i | −0.609979 | + | 0.443176i | −0.849407 | − | 0.527738i | \(-0.823040\pi\) |
0.239428 | + | 0.970914i | \(0.423040\pi\) | |||||||
\(954\) | 2.56744 | − | 1.14310i | 0.0831239 | − | 0.0370091i | ||||
\(955\) | 1.49938 | − | 2.59700i | 0.0485187 | − | 0.0840369i | ||||
\(956\) | −6.07130 | − | 10.5158i | −0.196360 | − | 0.340105i | ||||
\(957\) | −1.39848 | − | 1.01606i | −0.0452065 | − | 0.0328444i | ||||
\(958\) | −1.29964 | − | 0.276247i | −0.0419895 | − | 0.00892514i | ||||
\(959\) | 16.1418 | − | 49.6793i | 0.521245 | − | 1.60423i | ||||
\(960\) | −1.00000 | −0.0322749 | ||||||||
\(961\) | 6.79125 | + | 30.2470i | 0.219073 | + | 0.975709i | ||||
\(962\) | 47.2407 | 1.52310 | ||||||||
\(963\) | 5.03252 | − | 15.4885i | 0.162171 | − | 0.499110i | ||||
\(964\) | −10.3660 | − | 2.20337i | −0.333867 | − | 0.0709656i | ||||
\(965\) | 18.7571 | + | 13.6278i | 0.603811 | + | 0.438695i | ||||
\(966\) | 2.96982 | + | 5.14388i | 0.0955524 | + | 0.165502i | ||||
\(967\) | 10.3302 | − | 17.8925i | 0.332198 | − | 0.575383i | −0.650745 | − | 0.759296i | \(-0.725543\pi\) |
0.982942 | + | 0.183913i | \(0.0588766\pi\) | |||||||
\(968\) | 8.76499 | − | 3.90243i | 0.281718 | − | 0.125429i | ||||
\(969\) | −23.0089 | + | 16.7169i | −0.739151 | + | 0.537025i | ||||
\(970\) | −12.1704 | − | 5.41863i | −0.390769 | − | 0.173982i | ||||
\(971\) | 33.9090 | − | 7.20758i | 1.08819 | − | 0.231302i | 0.371318 | − | 0.928506i | \(-0.378906\pi\) |
0.716873 | + | 0.697204i | \(0.245573\pi\) | |||||||
\(972\) | 0.104528 | − | 0.994522i | 0.00335275 | − | 0.0318993i | ||||
\(973\) | −20.9141 | − | 23.2275i | −0.670477 | − | 0.744640i | ||||
\(974\) | −18.7231 | + | 20.7941i | −0.599928 | + | 0.666287i | ||||
\(975\) | 0.523744 | + | 4.98309i | 0.0167732 | + | 0.159587i | ||||
\(976\) | 4.79766 | + | 14.7657i | 0.153569 | + | 0.472638i | ||||
\(977\) | 3.80299 | + | 11.7044i | 0.121669 | + | 0.374457i | 0.993279 | − | 0.115741i | \(-0.0369243\pi\) |
−0.871611 | + | 0.490198i | \(0.836924\pi\) | |||||||
\(978\) | −1.89371 | − | 18.0175i | −0.0605543 | − | 0.576136i | ||||
\(979\) | 2.80246 | − | 3.11244i | 0.0895669 | − | 0.0994741i | ||||
\(980\) | −0.741240 | − | 0.823231i | −0.0236780 | − | 0.0262971i | ||||
\(981\) | −1.61829 | + | 15.3970i | −0.0516681 | + | 0.491589i | ||||
\(982\) | −18.3027 | + | 3.89037i | −0.584064 | + | 0.124147i | ||||
\(983\) | −14.4529 | − | 6.43483i | −0.460975 | − | 0.205239i | 0.163091 | − | 0.986611i | \(-0.447854\pi\) |
−0.624066 | + | 0.781372i | \(0.714520\pi\) | |||||||
\(984\) | 3.62354 | − | 2.63265i | 0.115514 | − | 0.0839259i | ||||
\(985\) | −6.77549 | + | 3.01664i | −0.215885 | + | 0.0961182i | ||||
\(986\) | 2.85557 | − | 4.94600i | 0.0909400 | − | 0.157513i | ||||
\(987\) | 14.3369 | + | 24.8323i | 0.456350 | + | 0.790421i | ||||
\(988\) | 29.4332 | + | 21.3844i | 0.936394 | + | 0.680330i | ||||
\(989\) | −13.2288 | − | 2.81186i | −0.420650 | − | 0.0894120i | ||||
\(990\) | 0.366354 | − | 1.12752i | 0.0116435 | − | 0.0358350i | ||||
\(991\) | −37.9198 | −1.20456 | −0.602281 | − | 0.798284i | \(-0.705741\pi\) | ||||
−0.602281 | + | 0.798284i | \(0.705741\pi\) | |||||||
\(992\) | −4.34691 | − | 3.47913i | −0.138015 | − | 0.110463i | ||||
\(993\) | 27.5009 | 0.872714 | ||||||||
\(994\) | −9.80807 | + | 30.1861i | −0.311093 | + | 0.957446i | ||||
\(995\) | 2.79288 | + | 0.593646i | 0.0885403 | + | 0.0188198i | ||||
\(996\) | −3.50479 | − | 2.54638i | −0.111054 | − | 0.0806852i | ||||
\(997\) | 0.228319 | + | 0.395461i | 0.00723095 | + | 0.0125244i | 0.869618 | − | 0.493725i | \(-0.164365\pi\) |
−0.862387 | + | 0.506249i | \(0.831032\pi\) | |||||||
\(998\) | −2.58054 | + | 4.46963i | −0.0816856 | + | 0.141484i | ||||
\(999\) | 8.61315 | − | 3.83482i | 0.272508 | − | 0.121328i |
(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 | 930.2.bg.h.691.2 | ✓ | 24 | |
31.7 | even | 15 | inner | 930.2.bg.h.751.2 | yes | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
930.2.bg.h.691.2 | ✓ | 24 | 1.1 | even | 1 | trivial | |
930.2.bg.h.751.2 | yes | 24 | 31.7 | even | 15 | inner |