Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [930,2,Mod(13,930)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(930, base_ring=CyclotomicField(60))
chi = DirichletCharacter(H, H._module([0, 45, 22]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("930.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 930.bt (of order \(60\), degree \(16\), 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: | \(256\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{60})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{60}]$ |
Embedding invariants
Embedding label | 13.1 | ||
Character | \(\chi\) | \(=\) | 930.13 |
Dual form | 930.2.bt.b.787.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/930\mathbb{Z}\right)^\times\).
\(n\) | \(187\) | \(311\) | \(871\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(1\) | \(e\left(\frac{11}{30}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.156434 | + | 0.987688i | −0.110616 | + | 0.698401i | ||||
\(3\) | −0.358368 | + | 0.933580i | −0.206904 | + | 0.539003i | ||||
\(4\) | −0.951057 | − | 0.309017i | −0.475528 | − | 0.154508i | ||||
\(5\) | −2.21414 | + | 0.312392i | −0.990193 | + | 0.139706i | ||||
\(6\) | −0.866025 | − | 0.500000i | −0.353553 | − | 0.204124i | ||||
\(7\) | −3.70934 | − | 0.194398i | −1.40200 | − | 0.0734756i | −0.663724 | − | 0.747977i | \(-0.731025\pi\) |
−0.738273 | + | 0.674502i | \(0.764358\pi\) | |||||||
\(8\) | 0.453990 | − | 0.891007i | 0.160510 | − | 0.315018i | ||||
\(9\) | −0.743145 | − | 0.669131i | −0.247715 | − | 0.223044i | ||||
\(10\) | 0.0378215 | − | 2.23575i | 0.0119602 | − | 0.707006i | ||||
\(11\) | 0.167614 | + | 0.788560i | 0.0505374 | + | 0.237760i | 0.996165 | − | 0.0874906i | \(-0.0278848\pi\) |
−0.945628 | + | 0.325250i | \(0.894551\pi\) | |||||||
\(12\) | 0.629320 | − | 0.777146i | 0.181669 | − | 0.224343i | ||||
\(13\) | 0.615859 | + | 0.760522i | 0.170808 | + | 0.210931i | 0.855361 | − | 0.518033i | \(-0.173336\pi\) |
−0.684552 | + | 0.728964i | \(0.740002\pi\) | |||||||
\(14\) | 0.772273 | − | 3.63326i | 0.206399 | − | 0.971029i | ||||
\(15\) | 0.501833 | − | 2.17903i | 0.129573 | − | 0.562623i | ||||
\(16\) | 0.809017 | + | 0.587785i | 0.202254 | + | 0.146946i | ||||
\(17\) | −0.729159 | − | 1.12281i | −0.176847 | − | 0.272320i | 0.739120 | − | 0.673573i | \(-0.235241\pi\) |
−0.915967 | + | 0.401253i | \(0.868575\pi\) | |||||||
\(18\) | 0.777146 | − | 0.629320i | 0.183175 | − | 0.148332i | ||||
\(19\) | −1.08224 | + | 0.113748i | −0.248283 | + | 0.0260956i | −0.227852 | − | 0.973696i | \(-0.573170\pi\) |
−0.0204305 | + | 0.999791i | \(0.506504\pi\) | |||||||
\(20\) | 2.20231 | + | 0.387104i | 0.492451 | + | 0.0865591i | ||||
\(21\) | 1.51079 | − | 3.39330i | 0.329682 | − | 0.740478i | ||||
\(22\) | −0.805072 | + | 0.0421920i | −0.171642 | + | 0.00899537i | ||||
\(23\) | 2.71169 | + | 1.38168i | 0.565427 | + | 0.288100i | 0.713245 | − | 0.700915i | \(-0.247225\pi\) |
−0.147817 | + | 0.989015i | \(0.547225\pi\) | |||||||
\(24\) | 0.669131 | + | 0.743145i | 0.136586 | + | 0.151694i | ||||
\(25\) | 4.80482 | − | 1.38336i | 0.960964 | − | 0.276672i | ||||
\(26\) | −0.847500 | + | 0.489305i | −0.166209 | + | 0.0959605i | ||||
\(27\) | 0.891007 | − | 0.453990i | 0.171474 | − | 0.0873705i | ||||
\(28\) | 3.46772 | + | 1.33113i | 0.655337 | + | 0.251560i | ||||
\(29\) | 7.08179 | − | 5.14523i | 1.31506 | − | 0.955444i | 0.315077 | − | 0.949066i | \(-0.397970\pi\) |
0.999980 | − | 0.00637809i | \(-0.00203022\pi\) | |||||||
\(30\) | 2.07370 | + | 0.836530i | 0.378603 | + | 0.152729i | ||||
\(31\) | −3.55575 | − | 4.28446i | −0.638632 | − | 0.769512i | ||||
\(32\) | −0.707107 | + | 0.707107i | −0.125000 | + | 0.125000i | ||||
\(33\) | −0.796251 | − | 0.126114i | −0.138610 | − | 0.0219536i | ||||
\(34\) | 1.22305 | − | 0.544536i | 0.209751 | − | 0.0933871i | ||||
\(35\) | 8.27371 | − | 0.728343i | 1.39851 | − | 0.123113i | ||||
\(36\) | 0.500000 | + | 0.866025i | 0.0833333 | + | 0.144338i | ||||
\(37\) | −1.46045 | + | 0.391327i | −0.240097 | + | 0.0643337i | −0.376861 | − | 0.926270i | \(-0.622996\pi\) |
0.136764 | + | 0.990604i | \(0.456330\pi\) | |||||||
\(38\) | 0.0569521 | − | 1.08671i | 0.00923884 | − | 0.176288i | ||||
\(39\) | −0.930713 | + | 0.302407i | −0.149033 | + | 0.0484239i | ||||
\(40\) | −0.726855 | + | 2.11464i | −0.114926 | + | 0.334353i | ||||
\(41\) | 3.04759 | + | 1.35688i | 0.475954 | + | 0.211908i | 0.630671 | − | 0.776051i | \(-0.282780\pi\) |
−0.154717 | + | 0.987959i | \(0.549447\pi\) | |||||||
\(42\) | 3.11518 | + | 2.02302i | 0.480683 | + | 0.312159i | ||||
\(43\) | 2.99016 | + | 2.42138i | 0.455994 | + | 0.369257i | 0.829625 | − | 0.558320i | \(-0.188554\pi\) |
−0.373631 | + | 0.927577i | \(0.621887\pi\) | |||||||
\(44\) | 0.0842684 | − | 0.801760i | 0.0127039 | − | 0.120870i | ||||
\(45\) | 1.85446 | + | 1.24940i | 0.276446 | + | 0.186249i | ||||
\(46\) | −1.78887 | + | 2.46217i | −0.263754 | + | 0.363027i | ||||
\(47\) | 6.36725 | − | 1.00847i | 0.928759 | − | 0.147101i | 0.326314 | − | 0.945261i | \(-0.394193\pi\) |
0.602445 | + | 0.798160i | \(0.294193\pi\) | |||||||
\(48\) | −0.838671 | + | 0.544639i | −0.121052 | + | 0.0786119i | ||||
\(49\) | 6.75973 | + | 0.710477i | 0.965676 | + | 0.101497i | ||||
\(50\) | 0.614688 | + | 4.96207i | 0.0869300 | + | 0.701743i | ||||
\(51\) | 1.30954 | − | 0.278351i | 0.183372 | − | 0.0389769i | ||||
\(52\) | −0.350702 | − | 0.913610i | −0.0486336 | − | 0.126695i | ||||
\(53\) | −0.300775 | − | 5.73913i | −0.0413146 | − | 0.788330i | −0.938206 | − | 0.346078i | \(-0.887513\pi\) |
0.896891 | − | 0.442252i | \(-0.145820\pi\) | |||||||
\(54\) | 0.309017 | + | 0.951057i | 0.0420519 | + | 0.129422i | ||||
\(55\) | −0.617460 | − | 1.69362i | −0.0832582 | − | 0.228368i | ||||
\(56\) | −1.85721 | + | 3.21679i | −0.248181 | + | 0.429861i | ||||
\(57\) | 0.281647 | − | 1.05112i | 0.0373051 | − | 0.139224i | ||||
\(58\) | 3.97404 | + | 7.79950i | 0.521817 | + | 1.02412i | ||||
\(59\) | −1.52791 | − | 3.43175i | −0.198917 | − | 0.446776i | 0.786353 | − | 0.617777i | \(-0.211967\pi\) |
−0.985271 | + | 0.171001i | \(0.945300\pi\) | |||||||
\(60\) | −1.15063 | + | 1.91730i | −0.148545 | + | 0.247523i | ||||
\(61\) | − | 8.22925i | − | 1.05365i | −0.849975 | − | 0.526824i | \(-0.823383\pi\) | ||
0.849975 | − | 0.526824i | \(-0.176617\pi\) | |||||||
\(62\) | 4.78796 | − | 2.84174i | 0.608071 | − | 0.360901i | ||||
\(63\) | 2.62650 | + | 2.62650i | 0.330907 | + | 0.330907i | ||||
\(64\) | −0.587785 | − | 0.809017i | −0.0734732 | − | 0.101127i | ||||
\(65\) | −1.60118 | − | 1.49151i | −0.198602 | − | 0.184999i | ||||
\(66\) | 0.249122 | − | 0.766719i | 0.0306648 | − | 0.0943766i | ||||
\(67\) | −11.8008 | − | 3.16203i | −1.44170 | − | 0.386303i | −0.548573 | − | 0.836103i | \(-0.684829\pi\) |
−0.893129 | + | 0.449800i | \(0.851495\pi\) | |||||||
\(68\) | 0.346505 | + | 1.29317i | 0.0420199 | + | 0.156820i | ||||
\(69\) | −2.26169 | + | 2.03644i | −0.272276 | + | 0.245158i | ||||
\(70\) | −0.574918 | + | 8.28579i | −0.0687158 | + | 0.990341i | ||||
\(71\) | 4.80349 | − | 5.33482i | 0.570070 | − | 0.633127i | −0.387313 | − | 0.921948i | \(-0.626597\pi\) |
0.957383 | + | 0.288822i | \(0.0932634\pi\) | |||||||
\(72\) | −0.933580 | + | 0.358368i | −0.110024 | + | 0.0422341i | ||||
\(73\) | −8.66916 | + | 13.3493i | −1.01465 | + | 1.56242i | −0.202238 | + | 0.979336i | \(0.564822\pi\) |
−0.812411 | + | 0.583086i | \(0.801845\pi\) | |||||||
\(74\) | −0.158044 | − | 1.50369i | −0.0183722 | − | 0.174800i | ||||
\(75\) | −0.430417 | + | 4.98144i | −0.0497003 | + | 0.575207i | ||||
\(76\) | 1.06442 | + | 0.226250i | 0.122098 | + | 0.0259526i | ||||
\(77\) | −0.468441 | − | 2.95762i | −0.0533838 | − | 0.337052i | ||||
\(78\) | −0.153088 | − | 0.966561i | −0.0173338 | − | 0.109441i | ||||
\(79\) | 1.12832 | + | 0.239832i | 0.126946 | + | 0.0269832i | 0.270946 | − | 0.962594i | \(-0.412663\pi\) |
−0.144001 | + | 0.989578i | \(0.545997\pi\) | |||||||
\(80\) | −1.97490 | − | 1.04871i | −0.220800 | − | 0.117249i | ||||
\(81\) | 0.104528 | + | 0.994522i | 0.0116143 | + | 0.110502i | ||||
\(82\) | −1.81692 | + | 2.79781i | −0.200645 | + | 0.308966i | ||||
\(83\) | −5.89056 | + | 2.26117i | −0.646573 | + | 0.248196i | −0.659482 | − | 0.751721i | \(-0.729224\pi\) |
0.0129087 | + | 0.999917i | \(0.495891\pi\) | |||||||
\(84\) | −2.48544 | + | 2.76036i | −0.271183 | + | 0.301180i | ||||
\(85\) | 1.96521 | + | 2.25826i | 0.213157 | + | 0.244943i | ||||
\(86\) | −2.85933 | + | 2.57455i | −0.308330 | + | 0.277621i | ||||
\(87\) | 2.26559 | + | 8.45531i | 0.242897 | + | 0.906504i | ||||
\(88\) | 0.778707 | + | 0.208654i | 0.0830104 | + | 0.0222426i | ||||
\(89\) | 2.98215 | − | 9.17810i | 0.316107 | − | 0.972877i | −0.659189 | − | 0.751977i | \(-0.729100\pi\) |
0.975296 | − | 0.220900i | \(-0.0708995\pi\) | |||||||
\(90\) | −1.52411 | + | 1.63618i | −0.160656 | + | 0.172468i | ||||
\(91\) | −2.13658 | − | 2.94075i | −0.223975 | − | 0.308275i | ||||
\(92\) | −2.15201 | − | 2.15201i | −0.224363 | − | 0.224363i | ||||
\(93\) | 5.27416 | − | 1.78417i | 0.546905 | − | 0.185010i | ||||
\(94\) | 6.44662i | 0.664918i | ||||||||
\(95\) | 2.36070 | − | 0.589937i | 0.242202 | − | 0.0605263i | ||||
\(96\) | −0.406737 | − | 0.913545i | −0.0415124 | − | 0.0932383i | ||||
\(97\) | 2.25175 | + | 4.41931i | 0.228631 | + | 0.448713i | 0.976613 | − | 0.215006i | \(-0.0689771\pi\) |
−0.747982 | + | 0.663719i | \(0.768977\pi\) | |||||||
\(98\) | −1.75918 | + | 6.56537i | −0.177705 | + | 0.663202i | ||||
\(99\) | 0.403088 | − | 0.698169i | 0.0405119 | − | 0.0701687i | ||||
\(100\) | −4.99714 | − | 0.169119i | −0.499714 | − | 0.0169119i | ||||
\(101\) | −3.91121 | − | 12.0375i | −0.389180 | − | 1.19777i | −0.933403 | − | 0.358831i | \(-0.883175\pi\) |
0.544223 | − | 0.838941i | \(-0.316825\pi\) | |||||||
\(102\) | 0.0700670 | + | 1.33696i | 0.00693767 | + | 0.132379i | ||||
\(103\) | 1.73313 | + | 4.51497i | 0.170771 | + | 0.444873i | 0.992080 | − | 0.125611i | \(-0.0400890\pi\) |
−0.821309 | + | 0.570484i | \(0.806756\pi\) | |||||||
\(104\) | 0.957224 | − | 0.203464i | 0.0938636 | − | 0.0199513i | ||||
\(105\) | −2.28507 | + | 7.98519i | −0.223000 | + | 0.779275i | ||||
\(106\) | 5.71552 | + | 0.600726i | 0.555141 | + | 0.0583477i | ||||
\(107\) | 4.77403 | − | 3.10029i | 0.461523 | − | 0.299716i | −0.292855 | − | 0.956157i | \(-0.594605\pi\) |
0.754378 | + | 0.656441i | \(0.227939\pi\) | |||||||
\(108\) | −0.987688 | + | 0.156434i | −0.0950404 | + | 0.0150529i | ||||
\(109\) | 5.70283 | − | 7.84927i | 0.546232 | − | 0.751824i | −0.443263 | − | 0.896392i | \(-0.646179\pi\) |
0.989495 | + | 0.144568i | \(0.0461792\pi\) | |||||||
\(110\) | 1.76936 | − | 0.344917i | 0.168702 | − | 0.0328866i | ||||
\(111\) | 0.158044 | − | 1.50369i | 0.0150009 | − | 0.142724i | ||||
\(112\) | −2.88665 | − | 2.33756i | −0.272763 | − | 0.220879i | ||||
\(113\) | −0.303957 | − | 0.197392i | −0.0285938 | − | 0.0185690i | 0.530263 | − | 0.847833i | \(-0.322093\pi\) |
−0.558857 | + | 0.829264i | \(0.688760\pi\) | |||||||
\(114\) | 0.994121 | + | 0.442611i | 0.0931080 | + | 0.0414544i | ||||
\(115\) | −6.43569 | − | 2.21211i | −0.600131 | − | 0.206281i | ||||
\(116\) | −8.32515 | + | 2.70500i | −0.772971 | + | 0.251153i | ||||
\(117\) | 0.0512164 | − | 0.977268i | 0.00473496 | − | 0.0903485i | ||||
\(118\) | 3.62852 | − | 0.972259i | 0.334032 | − | 0.0895037i | ||||
\(119\) | 2.48642 | + | 4.30661i | 0.227930 | + | 0.394786i | ||||
\(120\) | −1.71370 | − | 1.43639i | −0.156439 | − | 0.131124i | ||||
\(121\) | 9.45527 | − | 4.20976i | 0.859570 | − | 0.382705i | ||||
\(122\) | 8.12793 | + | 1.28734i | 0.735869 | + | 0.116550i | ||||
\(123\) | −2.35891 | + | 2.35891i | −0.212696 | + | 0.212696i | ||||
\(124\) | 2.05775 | + | 5.17355i | 0.184791 | + | 0.464599i | ||||
\(125\) | −10.2064 | + | 4.56394i | −0.912888 | + | 0.408211i | ||||
\(126\) | −3.00503 | + | 2.18329i | −0.267710 | + | 0.194503i | ||||
\(127\) | −17.4657 | − | 6.70446i | −1.54983 | − | 0.594925i | −0.575056 | − | 0.818114i | \(-0.695020\pi\) |
−0.974775 | + | 0.223189i | \(0.928353\pi\) | |||||||
\(128\) | 0.891007 | − | 0.453990i | 0.0787546 | − | 0.0401275i | ||||
\(129\) | −3.33213 | + | 1.92381i | −0.293378 | + | 0.169382i | ||||
\(130\) | 1.72363 | − | 1.34814i | 0.151172 | − | 0.118240i | ||||
\(131\) | 0.734123 | + | 0.815326i | 0.0641406 | + | 0.0712353i | 0.774361 | − | 0.632744i | \(-0.218071\pi\) |
−0.710220 | + | 0.703979i | \(0.751405\pi\) | |||||||
\(132\) | 0.718309 | + | 0.365997i | 0.0625207 | + | 0.0318559i | ||||
\(133\) | 4.03651 | − | 0.211544i | 0.350009 | − | 0.0183432i | ||||
\(134\) | 4.96915 | − | 11.1609i | 0.429270 | − | 0.964155i | ||||
\(135\) | −1.83099 | + | 1.28354i | −0.157586 | + | 0.110470i | ||||
\(136\) | −1.33146 | + | 0.139942i | −0.114172 | + | 0.0119999i | ||||
\(137\) | 12.7259 | − | 10.3052i | 1.08724 | − | 0.880433i | 0.0938958 | − | 0.995582i | \(-0.470068\pi\) |
0.993348 | + | 0.115149i | \(0.0367346\pi\) | |||||||
\(138\) | −1.65756 | − | 2.55241i | −0.141101 | − | 0.217276i | ||||
\(139\) | −2.00191 | − | 1.45447i | −0.169800 | − | 0.123367i | 0.499640 | − | 0.866233i | \(-0.333466\pi\) |
−0.669440 | + | 0.742866i | \(0.733466\pi\) | |||||||
\(140\) | −8.09384 | − | 1.86402i | −0.684054 | − | 0.157539i | ||||
\(141\) | −1.34033 | + | 6.30575i | −0.112876 | + | 0.531040i | ||||
\(142\) | 4.51771 | + | 5.57890i | 0.379118 | + | 0.468171i | ||||
\(143\) | −0.496491 | + | 0.613115i | −0.0415187 | + | 0.0512713i | ||||
\(144\) | −0.207912 | − | 0.978148i | −0.0173260 | − | 0.0815123i | ||||
\(145\) | −14.0727 | + | 13.6045i | −1.16868 | + | 1.12980i | ||||
\(146\) | −11.8288 | − | 10.6507i | −0.978961 | − | 0.881461i | ||||
\(147\) | −3.08576 | + | 6.05614i | −0.254509 | + | 0.499502i | ||||
\(148\) | 1.50990 | + | 0.0791304i | 0.124113 | + | 0.00650448i | ||||
\(149\) | 12.8271 | + | 7.40575i | 1.05084 | + | 0.606702i | 0.922884 | − | 0.385077i | \(-0.125825\pi\) |
0.127955 | + | 0.991780i | \(0.459159\pi\) | |||||||
\(150\) | −4.85278 | − | 1.20439i | −0.396228 | − | 0.0983378i | ||||
\(151\) | 1.81855 | + | 0.590882i | 0.147991 | + | 0.0480853i | 0.382076 | − | 0.924131i | \(-0.375209\pi\) |
−0.234085 | + | 0.972216i | \(0.575209\pi\) | |||||||
\(152\) | −0.389976 | + | 1.01592i | −0.0316313 | + | 0.0824023i | ||||
\(153\) | −0.209433 | + | 1.32231i | −0.0169317 | + | 0.106902i | ||||
\(154\) | 2.99448 | 0.241302 | ||||||||
\(155\) | 9.21136 | + | 8.37561i | 0.739875 | + | 0.672745i | ||||
\(156\) | 0.978609 | 0.0783514 | ||||||||
\(157\) | 2.18552 | − | 13.7988i | 0.174423 | − | 1.10127i | −0.732747 | − | 0.680501i | \(-0.761762\pi\) |
0.907170 | − | 0.420764i | \(-0.138238\pi\) | |||||||
\(158\) | −0.413387 | + | 1.07691i | −0.0328873 | + | 0.0856743i | ||||
\(159\) | 5.46573 | + | 1.77592i | 0.433460 | + | 0.140840i | ||||
\(160\) | 1.34474 | − | 1.78653i | 0.106311 | − | 0.141237i | ||||
\(161\) | −9.78999 | − | 5.65225i | −0.771559 | − | 0.445460i | ||||
\(162\) | −0.998630 | − | 0.0523360i | −0.0784597 | − | 0.00411190i | ||||
\(163\) | −8.94059 | + | 17.5469i | −0.700281 | + | 1.37438i | 0.217013 | + | 0.976169i | \(0.430369\pi\) |
−0.917294 | + | 0.398211i | \(0.869631\pi\) | |||||||
\(164\) | −2.47913 | − | 2.23222i | −0.193588 | − | 0.174307i | ||||
\(165\) | 1.80241 | + | 0.0304908i | 0.140317 | + | 0.00237371i | ||||
\(166\) | −1.31185 | − | 6.17176i | −0.101819 | − | 0.479022i | ||||
\(167\) | 2.78501 | − | 3.43920i | 0.215510 | − | 0.266133i | −0.657914 | − | 0.753093i | \(-0.728561\pi\) |
0.873424 | + | 0.486960i | \(0.161894\pi\) | |||||||
\(168\) | −2.33756 | − | 2.88665i | −0.180347 | − | 0.222710i | ||||
\(169\) | 2.50374 | − | 11.7792i | 0.192595 | − | 0.906090i | ||||
\(170\) | −2.53789 | + | 1.58775i | −0.194647 | + | 0.121775i | ||||
\(171\) | 0.880373 | + | 0.639629i | 0.0673238 | + | 0.0489136i | ||||
\(172\) | −2.09556 | − | 3.22688i | −0.159785 | − | 0.246047i | ||||
\(173\) | 6.70454 | − | 5.42923i | 0.509736 | − | 0.412776i | −0.339647 | − | 0.940553i | \(-0.610308\pi\) |
0.849383 | + | 0.527777i | \(0.176974\pi\) | |||||||
\(174\) | −8.70563 | + | 0.914998i | −0.659972 | + | 0.0693658i | ||||
\(175\) | −18.0916 | + | 4.19730i | −1.36760 | + | 0.317286i | ||||
\(176\) | −0.327902 | + | 0.736479i | −0.0247165 | + | 0.0555142i | ||||
\(177\) | 3.75137 | − | 0.196601i | 0.281970 | − | 0.0147774i | ||||
\(178\) | 8.59860 | + | 4.38120i | 0.644492 | + | 0.328385i | ||||
\(179\) | −12.3065 | − | 13.6678i | −0.919833 | − | 1.02158i | −0.999693 | − | 0.0247725i | \(-0.992114\pi\) |
0.0798596 | − | 0.996806i | \(-0.474553\pi\) | |||||||
\(180\) | −1.37761 | − | 1.76130i | −0.102681 | − | 0.131280i | ||||
\(181\) | −14.6946 | + | 8.48393i | −1.09224 | + | 0.630606i | −0.934172 | − | 0.356822i | \(-0.883860\pi\) |
−0.158069 | + | 0.987428i | \(0.550527\pi\) | |||||||
\(182\) | 3.23878 | − | 1.65024i | 0.240075 | − | 0.122324i | ||||
\(183\) | 7.68267 | + | 2.94910i | 0.567919 | + | 0.218004i | ||||
\(184\) | 2.46217 | − | 1.78887i | 0.181513 | − | 0.131877i | ||||
\(185\) | 3.11139 | − | 1.32269i | 0.228754 | − | 0.0972458i | ||||
\(186\) | 0.937141 | + | 5.48833i | 0.0687145 | + | 0.402424i | ||||
\(187\) | 0.763183 | − | 0.763183i | 0.0558094 | − | 0.0558094i | ||||
\(188\) | −6.36725 | − | 1.00847i | −0.464380 | − | 0.0735505i | ||||
\(189\) | −3.39330 | + | 1.51079i | −0.246826 | + | 0.109894i | ||||
\(190\) | 0.213380 | + | 2.42392i | 0.0154802 | + | 0.175850i | ||||
\(191\) | 9.15756 | + | 15.8614i | 0.662618 | + | 1.14769i | 0.979925 | + | 0.199365i | \(0.0638878\pi\) |
−0.317308 | + | 0.948323i | \(0.602779\pi\) | |||||||
\(192\) | 0.965926 | − | 0.258819i | 0.0697097 | − | 0.0186787i | ||||
\(193\) | 0.0909916 | − | 1.73622i | 0.00654972 | − | 0.124976i | −0.993398 | − | 0.114721i | \(-0.963402\pi\) |
0.999947 | − | 0.0102546i | \(-0.00326421\pi\) | |||||||
\(194\) | −4.71715 | + | 1.53270i | −0.338672 | + | 0.110041i | ||||
\(195\) | 1.96626 | − | 0.960318i | 0.140807 | − | 0.0687698i | ||||
\(196\) | −6.20934 | − | 2.76458i | −0.443524 | − | 0.197470i | ||||
\(197\) | −7.06624 | − | 4.58887i | −0.503448 | − | 0.326943i | 0.267803 | − | 0.963474i | \(-0.413702\pi\) |
−0.771252 | + | 0.636530i | \(0.780369\pi\) | |||||||
\(198\) | 0.626517 | + | 0.507343i | 0.0445246 | + | 0.0360553i | ||||
\(199\) | 2.46057 | − | 23.4108i | 0.174425 | − | 1.65955i | −0.461011 | − | 0.887394i | \(-0.652513\pi\) |
0.635437 | − | 0.772153i | \(-0.280820\pi\) | |||||||
\(200\) | 0.948761 | − | 4.90916i | 0.0670876 | − | 0.347130i | ||||
\(201\) | 7.18105 | − | 9.88386i | 0.506512 | − | 0.697154i | ||||
\(202\) | 12.5011 | − | 1.97998i | 0.879575 | − | 0.139311i | ||||
\(203\) | −27.2690 | + | 17.7087i | −1.91391 | + | 1.24291i | ||||
\(204\) | −1.33146 | − | 0.139942i | −0.0932207 | − | 0.00979789i | ||||
\(205\) | −7.17167 | − | 2.05227i | −0.500891 | − | 0.143337i | ||||
\(206\) | −4.73051 | + | 1.00550i | −0.329590 | + | 0.0700565i | ||||
\(207\) | −1.09066 | − | 2.84126i | −0.0758060 | − | 0.197481i | ||||
\(208\) | 0.0512164 | + | 0.977268i | 0.00355122 | + | 0.0677613i | ||||
\(209\) | −0.271095 | − | 0.834345i | −0.0187520 | − | 0.0577129i | ||||
\(210\) | −7.52942 | − | 3.50609i | −0.519579 | − | 0.241943i | ||||
\(211\) | 1.08498 | − | 1.87923i | 0.0746928 | − | 0.129372i | −0.826260 | − | 0.563289i | \(-0.809536\pi\) |
0.900953 | + | 0.433917i | \(0.142869\pi\) | |||||||
\(212\) | −1.48743 | + | 5.55118i | −0.102157 | + | 0.381257i | ||||
\(213\) | 3.25907 | + | 6.39628i | 0.223307 | + | 0.438266i | ||||
\(214\) | 2.31530 | + | 5.20024i | 0.158270 | + | 0.355481i | ||||
\(215\) | −7.37704 | − | 4.42717i | −0.503110 | − | 0.301931i | ||||
\(216\) | − | 1.00000i | − | 0.0680414i | ||||||
\(217\) | 12.3566 | + | 16.5837i | 0.838820 | + | 1.12578i | ||||
\(218\) | 6.86051 | + | 6.86051i | 0.464653 | + | 0.464653i | ||||
\(219\) | −9.35593 | − | 12.8773i | −0.632215 | − | 0.870170i | ||||
\(220\) | 0.0638817 | + | 1.80153i | 0.00430690 | + | 0.121459i | ||||
\(221\) | 0.404860 | − | 1.24603i | 0.0272338 | − | 0.0838171i | ||||
\(222\) | 1.46045 | + | 0.391327i | 0.0980191 | + | 0.0262641i | ||||
\(223\) | −3.24418 | − | 12.1074i | −0.217246 | − | 0.810774i | −0.985364 | − | 0.170465i | \(-0.945473\pi\) |
0.768117 | − | 0.640309i | \(-0.221194\pi\) | |||||||
\(224\) | 2.76036 | − | 2.48544i | 0.184434 | − | 0.166065i | ||||
\(225\) | −4.49633 | − | 2.18702i | −0.299755 | − | 0.145801i | ||||
\(226\) | 0.242511 | − | 0.269335i | 0.0161316 | − | 0.0179159i | ||||
\(227\) | −6.41897 | + | 2.46401i | −0.426042 | + | 0.163542i | −0.561935 | − | 0.827181i | \(-0.689943\pi\) |
0.135893 | + | 0.990723i | \(0.456610\pi\) | |||||||
\(228\) | −0.592677 | + | 0.912642i | −0.0392510 | + | 0.0604412i | ||||
\(229\) | −0.432150 | − | 4.11164i | −0.0285573 | − | 0.271705i | −0.999478 | − | 0.0323037i | \(-0.989716\pi\) |
0.970921 | − | 0.239401i | \(-0.0769510\pi\) | |||||||
\(230\) | 3.19164 | − | 6.01041i | 0.210451 | − | 0.396315i | ||||
\(231\) | 2.92905 | + | 0.622588i | 0.192717 | + | 0.0409633i | ||||
\(232\) | −1.36936 | − | 8.64581i | −0.0899030 | − | 0.567625i | ||||
\(233\) | −3.06939 | − | 19.3793i | −0.201082 | − | 1.26958i | −0.857223 | − | 0.514945i | \(-0.827812\pi\) |
0.656141 | − | 0.754638i | \(-0.272188\pi\) | |||||||
\(234\) | 0.957224 | + | 0.203464i | 0.0625757 | + | 0.0133009i | ||||
\(235\) | −13.7829 | + | 4.22198i | −0.899100 | + | 0.275412i | ||||
\(236\) | 0.392663 | + | 3.73594i | 0.0255602 | + | 0.243189i | ||||
\(237\) | −0.628255 | + | 0.967428i | −0.0408096 | + | 0.0628412i | ||||
\(238\) | −4.64255 | + | 1.78211i | −0.300932 | + | 0.115517i | ||||
\(239\) | −1.30282 | + | 1.44693i | −0.0842725 | + | 0.0935941i | −0.783806 | − | 0.621006i | \(-0.786724\pi\) |
0.699534 | + | 0.714600i | \(0.253391\pi\) | |||||||
\(240\) | 1.68679 | − | 1.46790i | 0.108882 | − | 0.0947526i | ||||
\(241\) | −6.62302 | + | 5.96339i | −0.426626 | + | 0.384136i | −0.854285 | − | 0.519804i | \(-0.826005\pi\) |
0.427659 | + | 0.903940i | \(0.359338\pi\) | |||||||
\(242\) | 2.67880 | + | 9.99741i | 0.172200 | + | 0.642658i | ||||
\(243\) | −0.965926 | − | 0.258819i | −0.0619642 | − | 0.0166032i | ||||
\(244\) | −2.54298 | + | 7.82648i | −0.162798 | + | 0.501039i | ||||
\(245\) | −15.1889 | + | 0.538594i | −0.970386 | + | 0.0344095i | ||||
\(246\) | −1.96085 | − | 2.69888i | −0.125020 | − | 0.172075i | ||||
\(247\) | −0.753015 | − | 0.753015i | −0.0479132 | − | 0.0479132i | ||||
\(248\) | −5.43176 | + | 1.22309i | −0.344917 | + | 0.0776665i | ||||
\(249\) | − | 6.30965i | − | 0.399858i | ||||||
\(250\) | −2.91112 | − | 10.7947i | −0.184115 | − | 0.682716i | ||||
\(251\) | 4.43445 | + | 9.95993i | 0.279900 | + | 0.628665i | 0.997715 | − | 0.0675689i | \(-0.0215242\pi\) |
−0.717815 | + | 0.696234i | \(0.754858\pi\) | |||||||
\(252\) | −1.68631 | − | 3.30958i | −0.106228 | − | 0.208484i | ||||
\(253\) | −0.635018 | + | 2.36992i | −0.0399233 | + | 0.148996i | ||||
\(254\) | 9.35416 | − | 16.2019i | 0.586932 | − | 1.01660i | ||||
\(255\) | −2.81254 | + | 1.02540i | −0.176128 | + | 0.0642128i | ||||
\(256\) | 0.309017 | + | 0.951057i | 0.0193136 | + | 0.0594410i | ||||
\(257\) | −0.776734 | − | 14.8210i | −0.0484514 | − | 0.924507i | −0.909428 | − | 0.415862i | \(-0.863480\pi\) |
0.860976 | − | 0.508645i | \(-0.169853\pi\) | |||||||
\(258\) | −1.37886 | − | 3.59205i | −0.0858441 | − | 0.223632i | ||||
\(259\) | 5.49338 | − | 1.16765i | 0.341342 | − | 0.0725545i | ||||
\(260\) | 1.06191 | + | 1.91330i | 0.0658567 | + | 0.118658i | ||||
\(261\) | −8.70563 | − | 0.914998i | −0.538865 | − | 0.0566370i | ||||
\(262\) | −0.920130 | + | 0.597539i | −0.0568458 | + | 0.0369161i | ||||
\(263\) | 12.4365 | − | 1.96974i | 0.766865 | − | 0.121459i | 0.239267 | − | 0.970954i | \(-0.423093\pi\) |
0.527598 | + | 0.849494i | \(0.323093\pi\) | |||||||
\(264\) | −0.473859 | + | 0.652211i | −0.0291640 | + | 0.0401408i | ||||
\(265\) | 2.45882 | + | 12.6133i | 0.151044 | + | 0.774827i | ||||
\(266\) | −0.422509 | + | 4.01990i | −0.0259057 | + | 0.246476i | ||||
\(267\) | 7.49979 | + | 6.07321i | 0.458980 | + | 0.371675i | ||||
\(268\) | 10.2461 | + | 6.65393i | 0.625883 | + | 0.406453i | ||||
\(269\) | −19.0996 | − | 8.50370i | −1.16453 | − | 0.518480i | −0.268847 | − | 0.963183i | \(-0.586643\pi\) |
−0.895678 | + | 0.444703i | \(0.853309\pi\) | |||||||
\(270\) | −0.981309 | − | 2.00924i | −0.0597206 | − | 0.122278i | ||||
\(271\) | −6.75389 | + | 2.19447i | −0.410269 | + | 0.133305i | −0.506878 | − | 0.862018i | \(-0.669200\pi\) |
0.0966086 | + | 0.995322i | \(0.469200\pi\) | |||||||
\(272\) | 0.0700670 | − | 1.33696i | 0.00424844 | − | 0.0810650i | ||||
\(273\) | 3.51111 | − | 0.940800i | 0.212502 | − | 0.0569398i | ||||
\(274\) | 8.18756 | + | 14.1813i | 0.494629 | + | 0.856722i | ||||
\(275\) | 1.89621 | + | 3.55702i | 0.114346 | + | 0.214496i | ||||
\(276\) | 2.78029 | − | 1.23786i | 0.167354 | − | 0.0745107i | ||||
\(277\) | 20.3812 | + | 3.22806i | 1.22459 | + | 0.193956i | 0.735041 | − | 0.678022i | \(-0.237163\pi\) |
0.489546 | + | 0.871978i | \(0.337163\pi\) | |||||||
\(278\) | 1.74974 | − | 1.74974i | 0.104942 | − | 0.104942i | ||||
\(279\) | −0.224425 | + | 5.56324i | −0.0134360 | + | 0.333062i | ||||
\(280\) | 3.10723 | − | 7.70260i | 0.185692 | − | 0.460318i | ||||
\(281\) | −15.4444 | + | 11.2210i | −0.921338 | + | 0.669392i | −0.943857 | − | 0.330355i | \(-0.892832\pi\) |
0.0225184 | + | 0.999746i | \(0.492832\pi\) | |||||||
\(282\) | −6.01844 | − | 2.31026i | −0.358393 | − | 0.137574i | ||||
\(283\) | 13.3899 | − | 6.82250i | 0.795948 | − | 0.405556i | −0.00821402 | − | 0.999966i | \(-0.502615\pi\) |
0.804162 | + | 0.594411i | \(0.202615\pi\) | |||||||
\(284\) | −6.21694 | + | 3.58935i | −0.368908 | + | 0.212989i | ||||
\(285\) | −0.295244 | + | 2.41531i | −0.0174887 | + | 0.143071i | ||||
\(286\) | −0.527898 | − | 0.586291i | −0.0312153 | − | 0.0346681i | ||||
\(287\) | −11.0408 | − | 5.62555i | −0.651716 | − | 0.332066i | ||||
\(288\) | 0.998630 | − | 0.0523360i | 0.0588448 | − | 0.00308393i | ||||
\(289\) | 6.18550 | − | 13.8929i | 0.363853 | − | 0.817227i | ||||
\(290\) | −11.2356 | − | 16.0277i | −0.659776 | − | 0.941180i | ||||
\(291\) | −4.93274 | + | 0.518452i | −0.289162 | + | 0.0303922i | ||||
\(292\) | 12.3700 | − | 10.0171i | 0.723902 | − | 0.586204i | ||||
\(293\) | −8.50404 | − | 13.0951i | −0.496811 | − | 0.765022i | 0.497955 | − | 0.867203i | \(-0.334085\pi\) |
−0.994766 | + | 0.102181i | \(0.967418\pi\) | |||||||
\(294\) | −5.49886 | − | 3.99516i | −0.320700 | − | 0.233002i | ||||
\(295\) | 4.45507 | + | 7.12106i | 0.259384 | + | 0.414604i | ||||
\(296\) | −0.314356 | + | 1.47893i | −0.0182716 | + | 0.0859611i | ||||
\(297\) | 0.507343 | + | 0.626517i | 0.0294390 | + | 0.0363542i | ||||
\(298\) | −9.32118 | + | 11.5107i | −0.539961 | + | 0.666797i | ||||
\(299\) | 0.619224 | + | 2.91322i | 0.0358107 | + | 0.168476i | ||||
\(300\) | 1.94870 | − | 4.60462i | 0.112508 | − | 0.265848i | ||||
\(301\) | −10.6208 | − | 9.56299i | −0.612172 | − | 0.551202i | ||||
\(302\) | −0.868090 | + | 1.70372i | −0.0499530 | + | 0.0980383i | ||||
\(303\) | 12.6396 | + | 0.662413i | 0.726125 | + | 0.0380546i | ||||
\(304\) | −0.942410 | − | 0.544101i | −0.0540509 | − | 0.0312063i | ||||
\(305\) | 2.57075 | + | 18.2207i | 0.147201 | + | 1.04331i | ||||
\(306\) | −1.27327 | − | 0.413710i | −0.0727878 | − | 0.0236502i | ||||
\(307\) | −8.57053 | + | 22.3270i | −0.489146 | + | 1.27427i | 0.437799 | + | 0.899073i | \(0.355758\pi\) |
−0.926945 | + | 0.375197i | \(0.877575\pi\) | |||||||
\(308\) | −0.468441 | + | 2.95762i | −0.0266919 | + | 0.168526i | ||||
\(309\) | −4.83619 | −0.275121 | ||||||||
\(310\) | −9.71346 | + | 7.78772i | −0.551688 | + | 0.442313i | ||||
\(311\) | 9.12400 | 0.517374 | 0.258687 | − | 0.965961i | \(-0.416710\pi\) | ||||
0.258687 | + | 0.965961i | \(0.416710\pi\) | |||||||
\(312\) | −0.153088 | + | 0.966561i | −0.00866691 | + | 0.0547207i | ||||
\(313\) | −8.08091 | + | 21.0515i | −0.456760 | + | 1.18990i | 0.491069 | + | 0.871121i | \(0.336606\pi\) |
−0.947829 | + | 0.318780i | \(0.896727\pi\) | |||||||
\(314\) | 13.2870 | + | 4.31722i | 0.749831 | + | 0.243635i | ||||
\(315\) | −6.63593 | − | 4.99493i | −0.373892 | − | 0.281432i | ||||
\(316\) | −0.998983 | − | 0.576763i | −0.0561972 | − | 0.0324454i | ||||
\(317\) | 27.9261 | + | 1.46354i | 1.56848 | + | 0.0822008i | 0.816643 | − | 0.577143i | \(-0.195833\pi\) |
0.751842 | + | 0.659344i | \(0.229166\pi\) | |||||||
\(318\) | −2.60909 | + | 5.12062i | −0.146310 | + | 0.287150i | ||||
\(319\) | 5.24432 | + | 4.72201i | 0.293626 | + | 0.264382i | ||||
\(320\) | 1.55417 | + | 1.60766i | 0.0868807 | + | 0.0898707i | ||||
\(321\) | 1.18351 | + | 5.56798i | 0.0660572 | + | 0.310775i | ||||
\(322\) | 7.11416 | − | 8.78525i | 0.396457 | − | 0.489583i | ||||
\(323\) | 0.916842 | + | 1.13221i | 0.0510144 | + | 0.0629976i | ||||
\(324\) | 0.207912 | − | 0.978148i | 0.0115506 | − | 0.0543415i | ||||
\(325\) | 4.01117 | + | 2.80222i | 0.222500 | + | 0.155439i | ||||
\(326\) | −15.9323 | − | 11.5755i | −0.882406 | − | 0.641105i | ||||
\(327\) | 5.28421 | + | 8.13697i | 0.292218 | + | 0.449976i | ||||
\(328\) | 2.59256 | − | 2.09942i | 0.143150 | − | 0.115921i | ||||
\(329\) | −23.8143 | + | 2.50299i | −1.31293 | + | 0.137994i | ||||
\(330\) | −0.312074 | + | 1.77545i | −0.0171791 | + | 0.0977352i | ||||
\(331\) | −5.95092 | + | 13.3660i | −0.327092 | + | 0.734661i | −0.999987 | − | 0.00507716i | \(-0.998384\pi\) |
0.672895 | + | 0.739738i | \(0.265051\pi\) | |||||||
\(332\) | 6.30100 | − | 0.330221i | 0.345812 | − | 0.0181232i | ||||
\(333\) | 1.34718 | + | 0.686420i | 0.0738248 | + | 0.0376156i | ||||
\(334\) | 2.96118 | + | 3.28873i | 0.162029 | + | 0.179951i | ||||
\(335\) | 27.1165 | + | 3.31467i | 1.48153 | + | 0.181100i | ||||
\(336\) | 3.21679 | − | 1.85721i | 0.175490 | − | 0.101319i | ||||
\(337\) | −1.55128 | + | 0.790415i | −0.0845034 | + | 0.0430567i | −0.495731 | − | 0.868476i | \(-0.665100\pi\) |
0.411228 | + | 0.911532i | \(0.365100\pi\) | |||||||
\(338\) | 11.2425 | + | 4.31558i | 0.611510 | + | 0.234737i | ||||
\(339\) | 0.293209 | − | 0.213029i | 0.0159249 | − | 0.0115701i | ||||
\(340\) | −1.17119 | − | 2.75502i | −0.0635166 | − | 0.149412i | ||||
\(341\) | 2.78256 | − | 3.52206i | 0.150684 | − | 0.190730i | ||||
\(342\) | −0.769475 | + | 0.769475i | −0.0416084 | + | 0.0416084i | ||||
\(343\) | 0.744860 | + | 0.117974i | 0.0402187 | + | 0.00637001i | ||||
\(344\) | 3.51497 | − | 1.56496i | 0.189514 | − | 0.0843772i | ||||
\(345\) | 4.37153 | − | 5.21549i | 0.235355 | − | 0.280792i | ||||
\(346\) | 4.31356 | + | 7.47131i | 0.231899 | + | 0.401660i | ||||
\(347\) | −15.2389 | + | 4.08325i | −0.818066 | + | 0.219200i | −0.643501 | − | 0.765445i | \(-0.722519\pi\) |
−0.174565 | + | 0.984646i | \(0.555852\pi\) | |||||||
\(348\) | 0.458127 | − | 8.74158i | 0.0245582 | − | 0.468598i | ||||
\(349\) | 27.3508 | − | 8.88682i | 1.46406 | − | 0.475700i | 0.534749 | − | 0.845011i | \(-0.320406\pi\) |
0.929306 | + | 0.369311i | \(0.120406\pi\) | |||||||
\(350\) | −1.31547 | − | 18.5255i | −0.0703147 | − | 0.990229i | ||||
\(351\) | 0.894004 | + | 0.398036i | 0.0477184 | + | 0.0212456i | ||||
\(352\) | −0.676117 | − | 0.439075i | −0.0360371 | − | 0.0234028i | ||||
\(353\) | 12.7884 | + | 10.3558i | 0.680658 | + | 0.551186i | 0.906096 | − | 0.423071i | \(-0.139048\pi\) |
−0.225438 | + | 0.974257i | \(0.572381\pi\) | |||||||
\(354\) | −0.392663 | + | 3.73594i | −0.0208698 | + | 0.198563i | ||||
\(355\) | −8.96905 | + | 13.3126i | −0.476028 | + | 0.706560i | ||||
\(356\) | −5.67238 | + | 7.80736i | −0.300636 | + | 0.413789i | ||||
\(357\) | −4.91162 | + | 0.777925i | −0.259951 | + | 0.0411721i | ||||
\(358\) | 15.4247 | − | 10.0169i | 0.815220 | − | 0.529410i | ||||
\(359\) | 3.70915 | + | 0.389848i | 0.195762 | + | 0.0205754i | 0.201902 | − | 0.979406i | \(-0.435288\pi\) |
−0.00614014 | + | 0.999981i | \(0.501954\pi\) | |||||||
\(360\) | 1.95513 | − | 1.08512i | 0.103044 | − | 0.0571908i | ||||
\(361\) | −17.4265 | + | 3.70412i | −0.917184 | + | 0.194954i | ||||
\(362\) | −6.08074 | − | 15.8409i | −0.319597 | − | 0.832578i | ||||
\(363\) | 0.541681 | + | 10.3359i | 0.0284309 | + | 0.542494i | ||||
\(364\) | 1.12327 | + | 3.45706i | 0.0588753 | + | 0.181199i | ||||
\(365\) | 15.0245 | − | 32.2655i | 0.786418 | − | 1.68885i | ||||
\(366\) | −4.11463 | + | 7.12674i | −0.215075 | + | 0.372521i | ||||
\(367\) | 5.60217 | − | 20.9076i | 0.292431 | − | 1.09137i | −0.650805 | − | 0.759245i | \(-0.725568\pi\) |
0.943236 | − | 0.332123i | \(-0.107765\pi\) | |||||||
\(368\) | 1.38168 | + | 2.71169i | 0.0720249 | + | 0.141357i | ||||
\(369\) | −1.35688 | − | 3.04759i | −0.0706361 | − | 0.158651i | ||||
\(370\) | 0.819672 | + | 3.28000i | 0.0426127 | + | 0.170519i | ||||
\(371\) | 21.3468i | 1.10827i | ||||||||
\(372\) | −5.56736 | + | 0.0670395i | −0.288654 | + | 0.00347584i | ||||
\(373\) | −6.73507 | − | 6.73507i | −0.348729 | − | 0.348729i | 0.510907 | − | 0.859636i | \(-0.329310\pi\) |
−0.859636 | + | 0.510907i | \(0.829310\pi\) | |||||||
\(374\) | 0.634398 | + | 0.873175i | 0.0328040 | + | 0.0451508i | ||||
\(375\) | −0.603160 | − | 11.1641i | −0.0311470 | − | 0.576509i | ||||
\(376\) | 1.99212 | − | 6.13110i | 0.102736 | − | 0.316187i | ||||
\(377\) | 8.27444 | + | 2.21713i | 0.426155 | + | 0.114188i | ||||
\(378\) | −0.961364 | − | 3.58786i | −0.0494473 | − | 0.184540i | ||||
\(379\) | −11.2494 | + | 10.1290i | −0.577844 | + | 0.520293i | −0.905412 | − | 0.424534i | \(-0.860438\pi\) |
0.327567 | + | 0.944828i | \(0.393771\pi\) | |||||||
\(380\) | −2.42746 | − | 0.168431i | −0.124526 | − | 0.00864035i | ||||
\(381\) | 12.5183 | − | 13.9030i | 0.641332 | − | 0.712272i | ||||
\(382\) | −17.0986 | + | 6.56355i | −0.874842 | + | 0.335820i | ||||
\(383\) | −10.2003 | + | 15.7071i | −0.521212 | + | 0.802595i | −0.997035 | − | 0.0769452i | \(-0.975483\pi\) |
0.475824 | + | 0.879541i | \(0.342150\pi\) | |||||||
\(384\) | 0.104528 | + | 0.994522i | 0.00533420 | + | 0.0507515i | ||||
\(385\) | 1.96113 | + | 6.40224i | 0.0999484 | + | 0.326288i | ||||
\(386\) | 1.70061 | + | 0.361476i | 0.0865589 | + | 0.0183987i | ||||
\(387\) | −0.601899 | − | 3.80024i | −0.0305962 | − | 0.193177i | ||||
\(388\) | −0.775901 | − | 4.89884i | −0.0393904 | − | 0.248701i | ||||
\(389\) | −13.7765 | − | 2.92828i | −0.698495 | − | 0.148470i | −0.155040 | − | 0.987908i | \(-0.549551\pi\) |
−0.543455 | + | 0.839439i | \(0.682884\pi\) | |||||||
\(390\) | 0.640905 | + | 2.09228i | 0.0324535 | + | 0.105947i | ||||
\(391\) | −0.425900 | − | 4.05217i | −0.0215387 | − | 0.204927i | ||||
\(392\) | 3.70189 | − | 5.70042i | 0.186974 | − | 0.287915i | ||||
\(393\) | −1.02426 | + | 0.393176i | −0.0516670 | + | 0.0198331i | ||||
\(394\) | 5.63777 | − | 6.26138i | 0.284027 | − | 0.315444i | ||||
\(395\) | −2.57318 | − | 0.178542i | −0.129471 | − | 0.00898344i | ||||
\(396\) | −0.599106 | + | 0.539437i | −0.0301062 | + | 0.0271078i | ||||
\(397\) | 3.34340 | + | 12.4777i | 0.167800 | + | 0.626240i | 0.997666 | + | 0.0682769i | \(0.0217501\pi\) |
−0.829866 | + | 0.557963i | \(0.811583\pi\) | |||||||
\(398\) | 22.7376 | + | 6.09253i | 1.13974 | + | 0.305391i | ||||
\(399\) | −1.24906 | + | 3.84421i | −0.0625312 | + | 0.192451i | ||||
\(400\) | 4.70030 | + | 1.70504i | 0.235015 | + | 0.0852521i | ||||
\(401\) | 11.6042 | + | 15.9718i | 0.579487 | + | 0.797596i | 0.993639 | − | 0.112612i | \(-0.0359217\pi\) |
−0.414152 | + | 0.910208i | \(0.635922\pi\) | |||||||
\(402\) | 8.63881 | + | 8.63881i | 0.430865 | + | 0.430865i | ||||
\(403\) | 1.06859 | − | 5.34285i | 0.0532301 | − | 0.266146i | ||||
\(404\) | 12.6569i | 0.629706i | ||||||||
\(405\) | −0.542121 | − | 2.16936i | −0.0269382 | − | 0.107796i | ||||
\(406\) | −13.2249 | − | 29.7035i | −0.656338 | − | 1.47416i | ||||
\(407\) | −0.553376 | − | 1.08606i | −0.0274298 | − | 0.0538341i | ||||
\(408\) | 0.346505 | − | 1.29317i | 0.0171546 | − | 0.0640217i | ||||
\(409\) | 10.0362 | − | 17.3831i | 0.496256 | − | 0.859541i | −0.503734 | − | 0.863859i | \(-0.668041\pi\) |
0.999991 | + | 0.00431731i | \(0.00137425\pi\) | |||||||
\(410\) | 3.14890 | − | 6.76233i | 0.155513 | − | 0.333968i | ||||
\(411\) | 5.06019 | + | 15.5737i | 0.249601 | + | 0.768193i | ||||
\(412\) | −0.253106 | − | 4.82956i | −0.0124697 | − | 0.237935i | ||||
\(413\) | 5.00042 | + | 13.0265i | 0.246055 | + | 0.640994i | ||||
\(414\) | 2.97690 | − | 0.632760i | 0.146307 | − | 0.0310984i | ||||
\(415\) | 12.3361 | − | 6.84672i | 0.605558 | − | 0.336092i | ||||
\(416\) | −0.973248 | − | 0.102293i | −0.0477174 | − | 0.00501530i | ||||
\(417\) | 2.07529 | − | 1.34771i | 0.101627 | − | 0.0659976i | ||||
\(418\) | 0.866482 | − | 0.137237i | 0.0423810 | − | 0.00671249i | ||||
\(419\) | −16.2115 | + | 22.3133i | −0.791986 | + | 1.09007i | 0.201872 | + | 0.979412i | \(0.435297\pi\) |
−0.993858 | + | 0.110663i | \(0.964703\pi\) | |||||||
\(420\) | 4.64079 | − | 6.88825i | 0.226447 | − | 0.336112i | ||||
\(421\) | 3.31940 | − | 31.5820i | 0.161778 | − | 1.53921i | −0.549016 | − | 0.835812i | \(-0.684997\pi\) |
0.710793 | − | 0.703401i | \(-0.248336\pi\) | |||||||
\(422\) | 1.68637 | + | 1.36559i | 0.0820911 | + | 0.0664761i | ||||
\(423\) | −5.40659 | − | 3.51108i | −0.262878 | − | 0.170715i | ||||
\(424\) | −5.25015 | − | 2.33752i | −0.254970 | − | 0.113520i | ||||
\(425\) | −5.05672 | − | 4.38619i | −0.245287 | − | 0.212762i | ||||
\(426\) | −6.82736 | + | 2.21834i | −0.330787 | + | 0.107479i | ||||
\(427\) | −1.59975 | + | 30.5251i | −0.0774174 | + | 1.47721i | ||||
\(428\) | −5.49841 | + | 1.47330i | −0.265776 | + | 0.0712144i | ||||
\(429\) | −0.394466 | − | 0.683235i | −0.0190450 | − | 0.0329869i | ||||
\(430\) | 5.52669 | − | 6.59365i | 0.266521 | − | 0.317974i | ||||
\(431\) | −1.45244 | + | 0.646669i | −0.0699617 | + | 0.0311490i | −0.441419 | − | 0.897301i | \(-0.645525\pi\) |
0.371457 | + | 0.928450i | \(0.378858\pi\) | |||||||
\(432\) | 0.987688 | + | 0.156434i | 0.0475202 | + | 0.00752646i | ||||
\(433\) | 17.4370 | − | 17.4370i | 0.837967 | − | 0.837967i | −0.150624 | − | 0.988591i | \(-0.548128\pi\) |
0.988591 | + | 0.150624i | \(0.0481284\pi\) | |||||||
\(434\) | −18.3126 | + | 9.61019i | −0.879031 | + | 0.461304i | ||||
\(435\) | −7.65771 | − | 18.0135i | −0.367159 | − | 0.863680i | ||||
\(436\) | −7.84927 | + | 5.70283i | −0.375912 | + | 0.273116i | ||||
\(437\) | −3.09187 | − | 1.18686i | −0.147904 | − | 0.0567751i | ||||
\(438\) | 14.1824 | − | 7.22629i | 0.677661 | − | 0.345285i | ||||
\(439\) | −15.2575 | + | 8.80894i | −0.728202 | + | 0.420428i | −0.817764 | − | 0.575554i | \(-0.804787\pi\) |
0.0895620 | + | 0.995981i | \(0.471453\pi\) | |||||||
\(440\) | −1.78935 | − | 0.218727i | −0.0853038 | − | 0.0104274i | ||||
\(441\) | −4.54806 | − | 5.05113i | −0.216574 | − | 0.240530i | ||||
\(442\) | 1.16736 | + | 0.594798i | 0.0555255 | + | 0.0282916i | ||||
\(443\) | 33.1736 | − | 1.73855i | 1.57613 | − | 0.0826012i | 0.755917 | − | 0.654667i | \(-0.227191\pi\) |
0.820208 | + | 0.572066i | \(0.193858\pi\) | |||||||
\(444\) | −0.614974 | + | 1.38125i | −0.0291854 | + | 0.0655514i | ||||
\(445\) | −3.73572 | + | 21.2532i | −0.177090 | + | 1.00750i | ||||
\(446\) | 12.4659 | − | 1.31022i | 0.590277 | − | 0.0620406i | ||||
\(447\) | −11.5107 | + | 9.32118i | −0.544437 | + | 0.440876i | ||||
\(448\) | 2.02302 | + | 3.11518i | 0.0955788 | + | 0.147178i | ||||
\(449\) | 23.5140 | + | 17.0839i | 1.10969 | + | 0.806239i | 0.982615 | − | 0.185654i | \(-0.0594404\pi\) |
0.127077 | + | 0.991893i | \(0.459440\pi\) | |||||||
\(450\) | 2.86347 | − | 4.09884i | 0.134985 | − | 0.193221i | ||||
\(451\) | −0.559160 | + | 2.63064i | −0.0263298 | + | 0.123872i | ||||
\(452\) | 0.228082 | + | 0.281658i | 0.0107281 | + | 0.0132481i | ||||
\(453\) | −1.20334 | + | 1.48601i | −0.0565381 | + | 0.0698187i | ||||
\(454\) | −1.42953 | − | 6.72539i | −0.0670910 | − | 0.315638i | ||||
\(455\) | 5.64936 | + | 5.84379i | 0.264846 | + | 0.273961i | ||||
\(456\) | −0.808691 | − | 0.728149i | −0.0378704 | − | 0.0340987i | ||||
\(457\) | 18.0874 | − | 35.4986i | 0.846095 | − | 1.66055i | 0.0997330 | − | 0.995014i | \(-0.468201\pi\) |
0.746362 | − | 0.665540i | \(-0.231799\pi\) | |||||||
\(458\) | 4.12862 | + | 0.216372i | 0.192918 | + | 0.0101104i | ||||
\(459\) | −1.15943 | − | 0.669396i | −0.0541175 | − | 0.0312447i | ||||
\(460\) | 5.43713 | + | 4.09258i | 0.253507 | + | 0.190818i | ||||
\(461\) | 27.0509 | + | 8.78939i | 1.25989 | + | 0.409363i | 0.861455 | − | 0.507835i | \(-0.169554\pi\) |
0.398434 | + | 0.917197i | \(0.369554\pi\) | |||||||
\(462\) | −1.07313 | + | 2.79559i | −0.0499264 | + | 0.130063i | ||||
\(463\) | −1.37825 | + | 8.70191i | −0.0640526 | + | 0.404412i | 0.934742 | + | 0.355327i | \(0.115630\pi\) |
−0.998795 | + | 0.0490849i | \(0.984370\pi\) | |||||||
\(464\) | 8.75358 | 0.406375 | ||||||||
\(465\) | −11.1204 | + | 5.59800i | −0.515694 | + | 0.259601i | ||||
\(466\) | 19.6209 | 0.908921 | ||||||||
\(467\) | −6.00285 | + | 37.9005i | −0.277779 | + | 1.75383i | 0.315589 | + | 0.948896i | \(0.397798\pi\) |
−0.593368 | + | 0.804931i | \(0.702202\pi\) | |||||||
\(468\) | −0.350702 | + | 0.913610i | −0.0162112 | + | 0.0422317i | ||||
\(469\) | 43.1586 | + | 14.0231i | 1.99288 | + | 0.647526i | ||||
\(470\) | −2.01387 | − | 14.2737i | −0.0928931 | − | 0.658397i | ||||
\(471\) | 12.0991 | + | 6.98541i | 0.557496 | + | 0.321871i | ||||
\(472\) | −3.75137 | − | 0.196601i | −0.172671 | − | 0.00904929i | ||||
\(473\) | −1.40821 | + | 2.76377i | −0.0647497 | + | 0.127078i | ||||
\(474\) | −0.857237 | − | 0.771859i | −0.0393742 | − | 0.0354527i | ||||
\(475\) | −5.04262 | + | 2.04367i | −0.231371 | + | 0.0937698i | ||||
\(476\) | −1.03391 | − | 4.86418i | −0.0473893 | − | 0.222949i | ||||
\(477\) | −3.61671 | + | 4.46626i | −0.165598 | + | 0.204496i | ||||
\(478\) | −1.22531 | − | 1.51313i | −0.0560443 | − | 0.0692090i | ||||
\(479\) | −5.56110 | + | 26.1629i | −0.254093 | + | 1.19541i | 0.647239 | + | 0.762287i | \(0.275923\pi\) |
−0.901332 | + | 0.433128i | \(0.857410\pi\) | |||||||
\(480\) | 1.18596 | + | 1.89566i | 0.0541312 | + | 0.0865244i | ||||
\(481\) | −1.19704 | − | 0.869704i | −0.0545805 | − | 0.0396551i | ||||
\(482\) | −4.85390 | − | 7.47436i | −0.221089 | − | 0.340448i | ||||
\(483\) | 8.78525 | − | 7.11416i | 0.399743 | − | 0.323705i | ||||
\(484\) | −10.2934 | + | 1.08188i | −0.467881 | + | 0.0491763i | ||||
\(485\) | −6.36625 | − | 9.08154i | −0.289076 | − | 0.412371i | ||||
\(486\) | 0.406737 | − | 0.913545i | 0.0184499 | − | 0.0414393i | ||||
\(487\) | 21.4438 | − | 1.12382i | 0.971711 | − | 0.0509252i | 0.440131 | − | 0.897933i | \(-0.354932\pi\) |
0.531580 | + | 0.847008i | \(0.321599\pi\) | |||||||
\(488\) | −7.33232 | − | 3.73600i | −0.331918 | − | 0.169121i | ||||
\(489\) | −13.1774 | − | 14.6350i | −0.595904 | − | 0.661818i | ||||
\(490\) | 1.84411 | − | 15.0862i | 0.0833084 | − | 0.681525i | ||||
\(491\) | 15.5363 | − | 8.96991i | 0.701145 | − | 0.404806i | −0.106629 | − | 0.994299i | \(-0.534006\pi\) |
0.807774 | + | 0.589492i | \(0.200672\pi\) | |||||||
\(492\) | 2.97240 | − | 1.51451i | 0.134006 | − | 0.0682796i | ||||
\(493\) | −10.9408 | − | 4.19980i | −0.492751 | − | 0.189149i | ||||
\(494\) | 0.861541 | − | 0.625947i | 0.0387626 | − | 0.0281627i | ||||
\(495\) | −0.674391 | + | 1.67177i | −0.0303116 | + | 0.0751403i | ||||
\(496\) | −0.358321 | − | 5.55622i | −0.0160891 | − | 0.249482i | ||||
\(497\) | −18.8549 | + | 18.8549i | −0.845756 | + | 0.845756i | ||||
\(498\) | 6.23196 | + | 0.987046i | 0.279261 | + | 0.0442306i | ||||
\(499\) | −17.3566 | + | 7.72764i | −0.776987 | + | 0.345937i | −0.756619 | − | 0.653856i | \(-0.773150\pi\) |
−0.0203675 | + | 0.999793i | \(0.506484\pi\) | |||||||
\(500\) | 11.1172 | − | 1.18661i | 0.497176 | − | 0.0530670i | ||||
\(501\) | 2.21271 | + | 3.83253i | 0.0988566 | + | 0.171225i | ||||
\(502\) | −10.5310 | + | 2.82177i | −0.470022 | + | 0.125942i | ||||
\(503\) | 1.32904 | − | 25.3596i | 0.0592589 | − | 1.13073i | −0.793550 | − | 0.608505i | \(-0.791770\pi\) |
0.852809 | − | 0.522223i | \(-0.174897\pi\) | |||||||
\(504\) | 3.53263 | − | 1.14782i | 0.157356 | − | 0.0511280i | ||||
\(505\) | 12.4204 | + | 25.4308i | 0.552699 | + | 1.13165i | ||||
\(506\) | −2.24140 | − | 0.997937i | −0.0996426 | − | 0.0443637i | ||||
\(507\) | 10.0995 | + | 6.55872i | 0.448536 | + | 0.291283i | ||||
\(508\) | 14.5391 | + | 11.7735i | 0.645068 | + | 0.522366i | ||||
\(509\) | 0.724587 | − | 6.89399i | 0.0321168 | − | 0.305571i | −0.966657 | − | 0.256073i | \(-0.917571\pi\) |
0.998774 | − | 0.0494977i | \(-0.0157621\pi\) | |||||||
\(510\) | −0.572793 | − | 2.93832i | −0.0253637 | − | 0.130111i | ||||
\(511\) | 34.7519 | − | 47.8319i | 1.53733 | − | 2.11596i | ||||
\(512\) | −0.987688 | + | 0.156434i | −0.0436501 | + | 0.00691349i | ||||
\(513\) | −0.912642 | + | 0.592677i | −0.0402941 | + | 0.0261673i | ||||
\(514\) | 14.7600 | + | 1.55134i | 0.651036 | + | 0.0684267i | ||||
\(515\) | −5.24784 | − | 9.45535i | −0.231248 | − | 0.416653i | ||||
\(516\) | 3.76353 | − | 0.799963i | 0.165680 | − | 0.0352164i | ||||
\(517\) | 1.86248 | + | 4.85193i | 0.0819118 | + | 0.213387i | ||||
\(518\) | 0.293924 | + | 5.60841i | 0.0129143 | + | 0.246419i | ||||
\(519\) | 2.66593 | + | 8.20488i | 0.117021 | + | 0.360154i | ||||
\(520\) | −2.05587 | + | 0.749528i | −0.0901557 | + | 0.0328690i | ||||
\(521\) | −0.335722 | + | 0.581488i | −0.0147083 | + | 0.0254755i | −0.873286 | − | 0.487208i | \(-0.838015\pi\) |
0.858578 | + | 0.512684i | \(0.171349\pi\) | |||||||
\(522\) | 2.26559 | − | 8.45531i | 0.0991623 | − | 0.370079i | ||||
\(523\) | −0.659012 | − | 1.29338i | −0.0288166 | − | 0.0565557i | 0.876149 | − | 0.482040i | \(-0.160104\pi\) |
−0.904966 | + | 0.425484i | \(0.860104\pi\) | |||||||
\(524\) | −0.446243 | − | 1.00228i | −0.0194942 | − | 0.0437847i | ||||
\(525\) | 2.56494 | − | 18.3942i | 0.111943 | − | 0.802787i | ||||
\(526\) | 12.5915i | 0.549014i | ||||||||
\(527\) | −2.21791 | + | 7.11647i | −0.0966137 | + | 0.309998i | ||||
\(528\) | −0.570053 | − | 0.570053i | −0.0248084 | − | 0.0248084i | ||||
\(529\) | −8.07481 | − | 11.1140i | −0.351079 | − | 0.483218i | ||||
\(530\) | −12.8426 | + | 0.455395i | −0.557848 | + | 0.0197811i | ||||
\(531\) | −1.16083 | + | 3.57266i | −0.0503756 | + | 0.155040i | ||||
\(532\) | −3.90432 | − | 1.04616i | −0.169274 | − | 0.0453567i | ||||
\(533\) | 0.844952 | + | 3.15341i | 0.0365989 | + | 0.136589i | ||||
\(534\) | −7.17167 | + | 6.45740i | −0.310348 | + | 0.279439i | ||||
\(535\) | −9.60185 | + | 8.35584i | −0.415124 | + | 0.361254i | ||||
\(536\) | −8.17485 | + | 9.07910i | −0.353100 | + | 0.392157i | ||||
\(537\) | 17.1702 | − | 6.59104i | 0.740951 | − | 0.284424i | ||||
\(538\) | 11.3869 | − | 17.5342i | 0.490922 | − | 0.755954i | ||||
\(539\) | 0.572770 | + | 5.44954i | 0.0246709 | + | 0.234728i | ||||
\(540\) | 2.13801 | − | 0.654914i | 0.0920053 | − | 0.0281830i | ||||
\(541\) | 7.83120 | + | 1.66457i | 0.336689 | + | 0.0715655i | 0.373154 | − | 0.927769i | \(-0.378276\pi\) |
−0.0364646 | + | 0.999335i | \(0.511610\pi\) | |||||||
\(542\) | −1.11091 | − | 7.01402i | −0.0477178 | − | 0.301278i | ||||
\(543\) | −2.65436 | − | 16.7590i | −0.113909 | − | 0.719196i | ||||
\(544\) | 1.30954 | + | 0.278351i | 0.0561459 | + | 0.0119342i | ||||
\(545\) | −10.1748 | + | 19.1609i | −0.435841 | + | 0.820762i | ||||
\(546\) | 0.379958 | + | 3.61506i | 0.0162607 | + | 0.154710i | ||||
\(547\) | 10.1171 | − | 15.5790i | 0.432576 | − | 0.666109i | −0.553415 | − | 0.832906i | \(-0.686676\pi\) |
0.985991 | + | 0.166797i | \(0.0533424\pi\) | |||||||
\(548\) | −15.2875 | + | 5.86832i | −0.653050 | + | 0.250682i | ||||
\(549\) | −5.50644 | + | 6.11553i | −0.235009 | + | 0.261004i | ||||
\(550\) | −3.80986 | + | 1.31643i | −0.162453 | + | 0.0561327i | ||||
\(551\) | −7.07894 | + | 6.37391i | −0.301573 | + | 0.271538i | ||||
\(552\) | 0.787691 | + | 2.93970i | 0.0335264 | + | 0.125122i | ||||
\(553\) | −4.13869 | − | 1.10896i | −0.175995 | − | 0.0471577i | ||||
\(554\) | −6.37664 | + | 19.6253i | −0.270918 | + | 0.833798i | ||||
\(555\) | 0.119809 | + | 3.37875i | 0.00508561 | + | 0.143420i | ||||
\(556\) | 1.45447 | + | 2.00191i | 0.0616835 | + | 0.0849000i | ||||
\(557\) | −28.2645 | − | 28.2645i | −1.19760 | − | 1.19760i | −0.974882 | − | 0.222721i | \(-0.928506\pi\) |
−0.222721 | − | 0.974882i | \(-0.571494\pi\) | |||||||
\(558\) | −5.45964 | − | 1.09194i | −0.231125 | − | 0.0462257i | ||||
\(559\) | 3.76531i | 0.159256i | ||||||||
\(560\) | 7.12169 | + | 4.27393i | 0.300946 | + | 0.180606i | ||||
\(561\) | 0.438992 | + | 0.985993i | 0.0185343 | + | 0.0416286i | ||||
\(562\) | −8.66685 | − | 17.0097i | −0.365589 | − | 0.717509i | ||||
\(563\) | 3.19150 | − | 11.9108i | 0.134506 | − | 0.501982i | −0.865494 | − | 0.500920i | \(-0.832995\pi\) |
0.999999 | − | 0.00106238i | \(-0.000338167\pi\) | |||||||
\(564\) | 3.22331 | − | 5.58294i | 0.135726 | − | 0.235084i | ||||
\(565\) | 0.734666 | + | 0.342099i | 0.0309076 | + | 0.0143922i | ||||
\(566\) | 4.64386 | + | 14.2923i | 0.195196 | + | 0.600752i | ||||
\(567\) | −0.194398 | − | 3.70934i | −0.00816395 | − | 0.155777i | ||||
\(568\) | −2.57262 | − | 6.70190i | −0.107945 | − | 0.281206i | ||||
\(569\) | 30.7693 | − | 6.54022i | 1.28992 | − | 0.274180i | 0.488646 | − | 0.872482i | \(-0.337491\pi\) |
0.801271 | + | 0.598302i | \(0.204158\pi\) | |||||||
\(570\) | −2.33939 | − | 0.669447i | −0.0979863 | − | 0.0280401i | ||||
\(571\) | 17.7403 | + | 1.86458i | 0.742406 | + | 0.0780301i | 0.468178 | − | 0.883634i | \(-0.344911\pi\) |
0.274229 | + | 0.961664i | \(0.411577\pi\) | |||||||
\(572\) | 0.661654 | − | 0.429683i | 0.0276651 | − | 0.0179660i | ||||
\(573\) | −18.0896 | + | 2.86511i | −0.755705 | + | 0.119692i | ||||
\(574\) | 7.28345 | − | 10.0248i | 0.304005 | − | 0.418428i | ||||
\(575\) | 14.9406 | + | 2.88747i | 0.623065 | + | 0.120416i | ||||
\(576\) | −0.104528 | + | 0.994522i | −0.00435535 | + | 0.0414384i | ||||
\(577\) | −19.9097 | − | 16.1226i | −0.828852 | − | 0.671191i | 0.117946 | − | 0.993020i | \(-0.462369\pi\) |
−0.946798 | + | 0.321829i | \(0.895702\pi\) | |||||||
\(578\) | 12.7542 | + | 8.28267i | 0.530505 | + | 0.344514i | ||||
\(579\) | 1.58830 | + | 0.707155i | 0.0660073 | + | 0.0293883i | ||||
\(580\) | 17.5880 | − | 8.58997i | 0.730303 | − | 0.356679i | ||||
\(581\) | 22.2896 | − | 7.24234i | 0.924730 | − | 0.300463i | ||||
\(582\) | 0.259582 | − | 4.95311i | 0.0107600 | − | 0.205313i | ||||
\(583\) | 4.47523 | − | 1.19914i | 0.185345 | − | 0.0496631i | ||||
\(584\) | 7.95863 | + | 13.7848i | 0.329331 | + | 0.570417i | ||||
\(585\) | 0.191891 | + | 2.17981i | 0.00793370 | + | 0.0901239i | ||||
\(586\) | 14.2642 | − | 6.35082i | 0.589248 | − | 0.262350i | ||||
\(587\) | 5.53445 | + | 0.876570i | 0.228431 | + | 0.0361799i | 0.269601 | − | 0.962972i | \(-0.413108\pi\) |
−0.0411695 | + | 0.999152i | \(0.513108\pi\) | |||||||
\(588\) | 4.80618 | − | 4.80618i | 0.198204 | − | 0.198204i | ||||
\(589\) | 4.33553 | + | 4.23236i | 0.178642 | + | 0.174391i | ||||
\(590\) | −7.73032 | + | 3.28624i | −0.318252 | + | 0.135292i | ||||
\(591\) | 6.81639 | − | 4.95240i | 0.280389 | − | 0.203714i | ||||
\(592\) | −1.41155 | − | 0.541842i | −0.0580142 | − | 0.0222696i | ||||
\(593\) | 14.4876 | − | 7.38181i | 0.594935 | − | 0.303135i | −0.130475 | − | 0.991452i | \(-0.541650\pi\) |
0.725410 | + | 0.688317i | \(0.241650\pi\) | |||||||
\(594\) | −0.698169 | + | 0.403088i | −0.0286462 | + | 0.0165389i | ||||
\(595\) | −6.85064 | − | 8.75870i | −0.280849 | − | 0.359072i | ||||
\(596\) | −9.91082 | − | 11.0071i | −0.405963 | − | 0.450868i | ||||
\(597\) | 20.9741 | + | 10.6868i | 0.858411 | + | 0.437382i | ||||
\(598\) | −2.97422 | + | 0.155872i | −0.121625 | + | 0.00637410i | ||||
\(599\) | −13.5888 | + | 30.5209i | −0.555222 | + | 1.24705i | 0.390058 | + | 0.920790i | \(0.372455\pi\) |
−0.945280 | + | 0.326259i | \(0.894212\pi\) | |||||||
\(600\) | 4.24309 | + | 2.64503i | 0.173223 | + | 0.107983i | ||||
\(601\) | 31.4898 | − | 3.30971i | 1.28449 | − | 0.135006i | 0.562438 | − | 0.826839i | \(-0.309863\pi\) |
0.722057 | + | 0.691834i | \(0.243197\pi\) | |||||||
\(602\) | 11.1067 | − | 8.99404i | 0.452676 | − | 0.366570i | ||||
\(603\) | 6.65393 | + | 10.2461i | 0.270969 | + | 0.417255i | ||||
\(604\) | −1.54695 | − | 1.12392i | −0.0629444 | − | 0.0457318i | ||||
\(605\) | −19.6202 | + | 12.2747i | −0.797674 | + | 0.499039i | ||||
\(606\) | −2.63152 | + | 12.3803i | −0.106898 | + | 0.502917i | ||||
\(607\) | −22.7713 | − | 28.1202i | −0.924259 | − | 1.14136i | −0.989650 | − | 0.143505i | \(-0.954163\pi\) |
0.0653904 | − | 0.997860i | \(-0.479171\pi\) | |||||||
\(608\) | 0.684827 | − | 0.845691i | 0.0277734 | − | 0.0342973i | ||||
\(609\) | −6.76015 | − | 31.8040i | −0.273935 | − | 1.28876i | ||||
\(610\) | −18.3985 | − | 0.311243i | −0.744935 | − | 0.0126018i | ||||
\(611\) | 4.68830 | + | 4.22136i | 0.189668 | + | 0.170778i | ||||
\(612\) | 0.607799 | − | 1.19287i | 0.0245688 | − | 0.0482190i | ||||
\(613\) | −39.6861 | − | 2.07986i | −1.60291 | − | 0.0840048i | −0.770231 | − | 0.637765i | \(-0.779859\pi\) |
−0.832676 | + | 0.553760i | \(0.813192\pi\) | |||||||
\(614\) | −20.7114 | − | 11.9577i | −0.835844 | − | 0.482575i | ||||
\(615\) | 4.48605 | − | 5.95986i | 0.180895 | − | 0.240325i | ||||
\(616\) | −2.84792 | − | 0.925346i | −0.114746 | − | 0.0372833i | ||||
\(617\) | −1.27917 | + | 3.33235i | −0.0514975 | + | 0.134156i | −0.956916 | − | 0.290364i | \(-0.906224\pi\) |
0.905419 | + | 0.424519i | \(0.139557\pi\) | |||||||
\(618\) | 0.756546 | − | 4.77665i | 0.0304328 | − | 0.192145i | ||||
\(619\) | 1.32331 | 0.0531885 | 0.0265943 | − | 0.999646i | \(-0.491534\pi\) | ||||
0.0265943 | + | 0.999646i | \(0.491534\pi\) | |||||||
\(620\) | −6.17232 | − | 10.8121i | −0.247886 | − | 0.434226i | ||||
\(621\) | 3.04341 | 0.122128 | ||||||||
\(622\) | −1.42731 | + | 9.01166i | −0.0572298 | + | 0.361335i | ||||
\(623\) | −12.8460 | + | 33.4650i | −0.514664 | + | 1.34075i | ||||
\(624\) | −0.930713 | − | 0.302407i | −0.0372583 | − | 0.0121060i | ||||
\(625\) | 21.1726 | − | 13.2936i | 0.846905 | − | 0.531744i | ||||
\(626\) | −19.5282 | − | 11.2746i | −0.780503 | − | 0.450624i | ||||
\(627\) | 0.876080 | + | 0.0459134i | 0.0349873 | + | 0.00183361i | ||||
\(628\) | −6.34262 | + | 12.4481i | −0.253098 | + | 0.496733i | ||||
\(629\) | 1.50428 | + | 1.35446i | 0.0599798 | + | 0.0540060i | ||||
\(630\) | 5.97152 | − | 5.77285i | 0.237911 | − | 0.229996i | ||||
\(631\) | −2.36096 | − | 11.1075i | −0.0939885 | − | 0.442181i | −0.999828 | − | 0.0185596i | \(-0.994092\pi\) |
0.905839 | − | 0.423622i | \(-0.139241\pi\) | |||||||
\(632\) | 0.725937 | − | 0.896458i | 0.0288762 | − | 0.0356592i | ||||
\(633\) | 1.36559 | + | 1.68637i | 0.0542775 | + | 0.0670271i | ||||
\(634\) | −5.81413 | + | 27.3533i | −0.230908 | + | 1.08634i | ||||
\(635\) | 40.7659 | + | 9.38845i | 1.61775 | + | 0.372569i | ||||
\(636\) | −4.64943 | − | 3.37801i | −0.184362 | − | 0.133947i | ||||
\(637\) | 3.62271 | + | 5.57848i | 0.143537 | + | 0.221027i | ||||
\(638\) | −5.48427 | + | 4.44107i | −0.217124 | + | 0.175824i | ||||
\(639\) | −7.13938 | + | 0.750379i | −0.282430 | + | 0.0296845i | ||||
\(640\) | −1.83099 | + | 1.28354i | −0.0723762 | + | 0.0507364i | ||||
\(641\) | −9.45700 | + | 21.2408i | −0.373529 | + | 0.838960i | 0.624778 | + | 0.780802i | \(0.285189\pi\) |
−0.998307 | + | 0.0581577i | \(0.981477\pi\) | |||||||
\(642\) | −5.68457 | + | 0.297916i | −0.224352 | + | 0.0117578i | ||||
\(643\) | −26.7948 | − | 13.6526i | −1.05668 | − | 0.538407i | −0.162777 | − | 0.986663i | \(-0.552045\pi\) |
−0.893905 | + | 0.448256i | \(0.852045\pi\) | |||||||
\(644\) | 7.56419 | + | 8.40089i | 0.298071 | + | 0.331041i | ||||
\(645\) | 6.77681 | − | 5.30050i | 0.266837 | − | 0.208707i | ||||
\(646\) | −1.26169 | + | 0.728438i | −0.0496406 | + | 0.0286600i | ||||
\(647\) | 15.6001 | − | 7.94864i | 0.613302 | − | 0.312493i | −0.119605 | − | 0.992822i | \(-0.538163\pi\) |
0.732907 | + | 0.680328i | \(0.238163\pi\) | |||||||
\(648\) | 0.933580 | + | 0.358368i | 0.0366745 | + | 0.0140780i | ||||
\(649\) | 2.45004 | − | 1.78006i | 0.0961725 | − | 0.0698734i | ||||
\(650\) | −3.39520 | + | 3.52342i | −0.133171 | + | 0.138200i | ||||
\(651\) | −19.9105 | + | 5.59279i | −0.780353 | + | 0.219199i | ||||
\(652\) | 13.9253 | − | 13.9253i | 0.545357 | − | 0.545357i | ||||
\(653\) | −19.4965 | − | 3.08795i | −0.762959 | − | 0.120841i | −0.237184 | − | 0.971465i | \(-0.576224\pi\) |
−0.525775 | + | 0.850624i | \(0.676224\pi\) | |||||||
\(654\) | −8.86343 | + | 3.94625i | −0.346587 | + | 0.154311i | ||||
\(655\) | −1.88015 | − | 1.57591i | −0.0734636 | − | 0.0615759i | ||||
\(656\) | 1.66800 | + | 2.88907i | 0.0651246 | + | 0.112799i | ||||
\(657\) | 15.3749 | − | 4.11969i | 0.599832 | − | 0.160724i | ||||
\(658\) | 1.25321 | − | 23.9127i | 0.0488553 | − | 0.932214i | ||||
\(659\) | −35.8513 | + | 11.6488i | −1.39657 | + | 0.453773i | −0.908080 | − | 0.418796i | \(-0.862452\pi\) |
−0.488490 | + | 0.872570i | \(0.662452\pi\) | |||||||
\(660\) | −1.70477 | − | 0.585973i | −0.0663581 | − | 0.0228090i | ||||
\(661\) | −26.2351 | − | 11.6806i | −1.02043 | − | 0.454323i | −0.172822 | − | 0.984953i | \(-0.555289\pi\) |
−0.847603 | + | 0.530630i | \(0.821955\pi\) | |||||||
\(662\) | −12.2705 | − | 7.96855i | −0.476906 | − | 0.309707i | ||||
\(663\) | 1.01818 | + | 0.824507i | 0.0395429 | + | 0.0320212i | ||||
\(664\) | −0.659538 | + | 6.27508i | −0.0255950 | + | 0.243520i | ||||
\(665\) | −8.87130 | + | 1.72936i | −0.344014 | + | 0.0670617i | ||||
\(666\) | −0.888714 | + | 1.22321i | −0.0344370 | + | 0.0473984i | ||||
\(667\) | 26.3127 | − | 4.16752i | 1.01883 | − | 0.161367i | ||||
\(668\) | −3.71147 | + | 2.41026i | −0.143601 | + | 0.0932556i | ||||
\(669\) | 12.4659 | + | 1.31022i | 0.481959 | + | 0.0506559i | ||||
\(670\) | −7.51582 | + | 26.2641i | −0.290361 | + | 1.01467i | ||||
\(671\) | 6.48926 | − | 1.37933i | 0.250515 | − | 0.0532486i | ||||
\(672\) | 1.33113 | + | 3.46772i | 0.0513495 | + | 0.133770i | ||||
\(673\) | 0.686912 | + | 13.1071i | 0.0264785 | + | 0.505240i | 0.979388 | + | 0.201986i | \(0.0647396\pi\) |
−0.952910 | + | 0.303254i | \(0.901927\pi\) | |||||||
\(674\) | −0.538011 | − | 1.65583i | −0.0207234 | − | 0.0637800i | ||||
\(675\) | 3.65310 | − | 3.41393i | 0.140608 | − | 0.131402i | ||||
\(676\) | −6.02116 | + | 10.4290i | −0.231583 | + | 0.401114i | ||||
\(677\) | −8.67592 | + | 32.3790i | −0.333443 | + | 1.24443i | 0.572105 | + | 0.820181i | \(0.306127\pi\) |
−0.905547 | + | 0.424245i | \(0.860540\pi\) | |||||||
\(678\) | 0.164538 | + | 0.322924i | 0.00631905 | + | 0.0124018i | ||||
\(679\) | −7.49340 | − | 16.8304i | −0.287570 | − | 0.645893i | ||||
\(680\) | 2.90432 | − | 0.725788i | 0.111375 | − | 0.0278327i | ||||
\(681\) | − | 6.87564i | − | 0.263475i | ||||||
\(682\) | 3.04341 | + | 3.29928i | 0.116538 | + | 0.126336i | ||||
\(683\) | −31.9481 | − | 31.9481i | −1.22246 | − | 1.22246i | −0.966755 | − | 0.255704i | \(-0.917693\pi\) |
−0.255704 | − | 0.966755i | \(-0.582307\pi\) | |||||||
\(684\) | −0.639629 | − | 0.880373i | −0.0244568 | − | 0.0336619i | ||||
\(685\) | −24.9576 | + | 26.7926i | −0.953580 | + | 1.02369i | ||||
\(686\) | −0.233044 | + | 0.717234i | −0.00889764 | + | 0.0273841i | ||||
\(687\) | 3.99341 | + | 1.07003i | 0.152358 | + | 0.0408243i | ||||
\(688\) | 0.995835 | + | 3.71651i | 0.0379659 | + | 0.141690i | ||||
\(689\) | 4.17950 | − | 3.76324i | 0.159226 | − | 0.143368i | ||||
\(690\) | 4.46742 | + | 5.13359i | 0.170072 | + | 0.195433i | ||||
\(691\) | 2.28947 | − | 2.54271i | 0.0870954 | − | 0.0967293i | −0.698022 | − | 0.716077i | \(-0.745936\pi\) |
0.785117 | + | 0.619347i | \(0.212603\pi\) | |||||||
\(692\) | −8.05411 | + | 3.09168i | −0.306171 | + | 0.117528i | ||||
\(693\) | −1.63091 | + | 2.51139i | −0.0619533 | + | 0.0953997i | ||||
\(694\) | −1.64909 | − | 15.6900i | −0.0625986 | − | 0.595586i | ||||
\(695\) | 4.88688 | + | 2.59503i | 0.185370 | + | 0.0984350i | ||||
\(696\) | 8.56229 | + | 1.81997i | 0.324553 | + | 0.0689858i | ||||
\(697\) | −0.698671 | − | 4.41123i | −0.0264640 | − | 0.167087i | ||||
\(698\) | 4.49880 | + | 28.4043i | 0.170282 | + | 1.07512i | ||||
\(699\) | 19.1921 | + | 4.07942i | 0.725914 | + | 0.154298i | ||||
\(700\) | 18.5032 | + | 1.59875i | 0.699355 | + | 0.0604272i | ||||
\(701\) | 4.02369 | + | 38.2829i | 0.151973 | + | 1.44592i | 0.758921 | + | 0.651183i | \(0.225727\pi\) |
−0.606948 | + | 0.794742i | \(0.707606\pi\) | |||||||
\(702\) | −0.532989 | + | 0.820731i | −0.0201164 | + | 0.0309765i | ||||
\(703\) | 1.53605 | − | 0.589633i | 0.0579331 | − | 0.0222384i | ||||
\(704\) | 0.539437 | − | 0.599106i | 0.0203308 | − | 0.0225797i | ||||
\(705\) | 0.997806 | − | 14.3805i | 0.0375796 | − | 0.541601i | ||||
\(706\) | −12.2289 | + | 11.0109i | −0.460240 | + | 0.414402i | ||||
\(707\) | 12.1679 | + | 45.4113i | 0.457622 | + | 1.70787i | ||||
\(708\) | −3.62852 | − | 0.972259i | −0.136368 | − | 0.0365397i | ||||
\(709\) | −3.68481 | + | 11.3407i | −0.138386 | + | 0.425908i | −0.996101 | − | 0.0882170i | \(-0.971883\pi\) |
0.857716 | + | 0.514125i | \(0.171883\pi\) | |||||||
\(710\) | −11.7456 | − | 10.9412i | −0.440806 | − | 0.410615i | ||||
\(711\) | −0.678025 | − | 0.933222i | −0.0254279 | − | 0.0349986i | ||||
\(712\) | −6.82388 | − | 6.82388i | −0.255736 | − | 0.255736i | ||||
\(713\) | −3.72237 | − | 16.5311i | −0.139404 | − | 0.619093i | ||||
\(714\) | − | 4.97285i | − | 0.186104i | ||||||
\(715\) | 0.907767 | − | 1.51262i | 0.0339486 | − | 0.0565689i | ||||
\(716\) | 7.48063 | + | 16.8018i | 0.279564 | + | 0.627912i | ||||
\(717\) | −0.883936 | − | 1.73482i | −0.0330112 | − | 0.0647881i | ||||
\(718\) | −0.965288 | + | 3.60250i | −0.0360242 | + | 0.134444i | ||||
\(719\) | 4.08050 | − | 7.06763i | 0.152177 | − | 0.263578i | −0.779851 | − | 0.625966i | \(-0.784705\pi\) |
0.932028 | + | 0.362388i | \(0.118038\pi\) | |||||||
\(720\) | 0.765911 | + | 2.10080i | 0.0285438 | + | 0.0782924i | ||||
\(721\) | −5.55108 | − | 17.0845i | −0.206733 | − | 0.636259i | ||||
\(722\) | −0.932408 | − | 17.7914i | −0.0347006 | − | 0.662127i | ||||
\(723\) | −3.19383 | − | 8.32021i | −0.118780 | − | 0.309432i | ||||
\(724\) | 16.5971 | − | 3.52782i | 0.616826 | − | 0.131110i | ||||
\(725\) | 26.9091 | − | 34.5186i | 0.999378 | − | 1.28199i | ||||
\(726\) | −10.2934 | − | 1.08188i | −0.382023 | − | 0.0401523i | ||||
\(727\) | 21.0132 | − | 13.6461i | 0.779337 | − | 0.506108i | −0.0926128 | − | 0.995702i | \(-0.529522\pi\) |
0.871950 | + | 0.489595i | \(0.162855\pi\) | |||||||
\(728\) | −3.59022 | + | 0.568635i | −0.133062 | + | 0.0210750i | ||||
\(729\) | 0.587785 | − | 0.809017i | 0.0217698 | − | 0.0299636i | ||||
\(730\) | 29.5179 | + | 19.8870i | 1.09251 | + | 0.736049i | ||||
\(731\) | 0.538442 | − | 5.12293i | 0.0199150 | − | 0.189479i | ||||
\(732\) | −6.39533 | − | 5.17884i | −0.236378 | − | 0.191415i | ||||
\(733\) | −43.0340 | − | 27.9466i | −1.58950 | − | 1.03223i | −0.968691 | − | 0.248270i | \(-0.920138\pi\) |
−0.620808 | − | 0.783963i | \(-0.713195\pi\) | |||||||
\(734\) | 19.7738 | + | 8.80387i | 0.729865 | + | 0.324957i | ||||
\(735\) | 4.94041 | − | 14.3731i | 0.182230 | − | 0.530160i | ||||
\(736\) | −2.89445 | + | 0.940464i | −0.106691 | + | 0.0346660i | ||||
\(737\) | 0.515465 | − | 9.83566i | 0.0189874 | − | 0.362301i | ||||
\(738\) | 3.22233 | − | 0.863422i | 0.118616 | − | 0.0317830i | ||||
\(739\) | 15.4010 | + | 26.6753i | 0.566534 | + | 0.981265i | 0.996905 | + | 0.0786133i | \(0.0250492\pi\) |
−0.430372 | + | 0.902652i | \(0.641617\pi\) | |||||||
\(740\) | −3.36784 | + | 0.296475i | −0.123804 | + | 0.0108986i | ||||
\(741\) | 0.972856 | − | 0.433144i | 0.0357388 | − | 0.0159119i | ||||
\(742\) | −21.0840 | − | 3.33938i | −0.774019 | − | 0.122593i | ||||
\(743\) | 26.9904 | − | 26.9904i | 0.990182 | − | 0.990182i | −0.00976993 | − | 0.999952i | \(-0.503110\pi\) |
0.999952 | + | 0.00976993i | \(0.00310991\pi\) | |||||||
\(744\) | 0.804713 | − | 5.50930i | 0.0295022 | − | 0.201981i | ||||
\(745\) | −30.7145 | − | 12.3903i | −1.12529 | − | 0.453944i | ||||
\(746\) | 7.70574 | − | 5.59855i | 0.282127 | − | 0.204977i | ||||
\(747\) | 5.89056 | + | 2.26117i | 0.215524 | + | 0.0827321i | ||||
\(748\) | −0.961666 | + | 0.489993i | −0.0351620 | + | 0.0179159i | ||||
\(749\) | −18.3112 | + | 10.5720i | −0.669075 | + | 0.386291i | ||||
\(750\) | 11.1210 | + | 1.15071i | 0.406080 | + | 0.0420180i | ||||
\(751\) | 12.4177 | + | 13.7913i | 0.453130 | + | 0.503251i | 0.925813 | − | 0.377981i | \(-0.123381\pi\) |
−0.472684 | + | 0.881232i | \(0.656715\pi\) | |||||||
\(752\) | 5.74398 | + | 2.92671i | 0.209461 | + | 0.106726i | ||||
\(753\) | −10.8876 | + | 0.570593i | −0.396765 | + | 0.0207936i | ||||
\(754\) | −3.48424 | + | 7.82574i | −0.126889 | + | 0.284996i | ||||
\(755\) | −4.21110 | − | 0.740194i | −0.153258 | − | 0.0269384i | ||||
\(756\) | 3.69408 | − | 0.388263i | 0.134352 | − | 0.0141210i | ||||
\(757\) | −22.6312 | + | 18.3264i | −0.822547 | + | 0.666085i | −0.945246 | − | 0.326359i | \(-0.894178\pi\) |
0.122699 | + | 0.992444i | \(0.460845\pi\) | |||||||
\(758\) | −8.24453 | − | 12.6955i | −0.299455 | − | 0.461120i | ||||
\(759\) | −1.98494 | − | 1.44214i | −0.0720488 | − | 0.0523465i | ||||
\(760\) | 0.546096 | − | 2.37122i | 0.0198090 | − | 0.0860132i | ||||
\(761\) | 4.32604 | − | 20.3524i | 0.156819 | − | 0.737774i | −0.827513 | − | 0.561447i | \(-0.810245\pi\) |
0.984332 | − | 0.176327i | \(-0.0564217\pi\) | |||||||
\(762\) | 11.7735 | + | 14.5391i | 0.426510 | + | 0.526696i | ||||
\(763\) | −22.6796 | + | 28.0070i | −0.821056 | + | 1.01392i | ||||
\(764\) | −3.80793 | − | 17.9149i | −0.137766 | − | 0.648138i | ||||
\(765\) | 0.0506351 | − | 2.99320i | 0.00183072 | − | 0.108219i | ||||
\(766\) | −13.9180 | − | 12.5319i | −0.502879 | − | 0.452795i | ||||
\(767\) | 1.66894 | − | 3.27549i | 0.0602621 | − | 0.118271i | ||||
\(768\) | −0.998630 | − | 0.0523360i | −0.0360349 | − | 0.00188851i | ||||
\(769\) | −29.8533 | − | 17.2358i | −1.07654 | − | 0.621539i | −0.146577 | − | 0.989199i | \(-0.546826\pi\) |
−0.929960 | + | 0.367661i | \(0.880159\pi\) | |||||||
\(770\) | −6.63020 | + | 0.935453i | −0.238936 | + | 0.0337114i | ||||
\(771\) | 14.1149 | + | 4.58622i | 0.508337 | + | 0.165169i | ||||
\(772\) | −0.623060 | + | 1.62313i | −0.0224244 | + | 0.0584177i | ||||
\(773\) | −1.02711 | + | 6.48489i | −0.0369424 | + | 0.233245i | −0.999250 | − | 0.0387175i | \(-0.987673\pi\) |
0.962308 | + | 0.271963i | \(0.0876728\pi\) | |||||||
\(774\) | 3.84761 | 0.138300 | ||||||||
\(775\) | −23.0117 | − | 15.6672i | −0.826605 | − | 0.562782i | ||||
\(776\) | 4.95991 | 0.178050 | ||||||||
\(777\) | −0.878552 | + | 5.54696i | −0.0315179 | + | 0.198996i | ||||
\(778\) | 5.04734 | − | 13.1488i | 0.180956 | − | 0.471406i | ||||
\(779\) | −3.45257 | − | 1.12181i | −0.123701 | − | 0.0401929i | ||||
\(780\) | −2.16678 | + | 0.305710i | −0.0775831 | + | 0.0109462i | ||||
\(781\) | 5.01195 | + | 2.89365i | 0.179342 | + | 0.103543i | ||||
\(782\) | 4.06890 | + | 0.213242i | 0.145504 | + | 0.00762553i | ||||
\(783\) | 3.97404 | − | 7.79950i | 0.142021 | − | 0.278731i | ||||
\(784\) | 5.05113 | + | 4.54806i | 0.180398 | + | 0.162431i | ||||
\(785\) | −0.528397 | + | 31.2352i | −0.0188593 | + | 1.11483i | ||||
\(786\) | −0.228106 | − | 1.07315i | −0.00813627 | − | 0.0382781i | ||||
\(787\) | −26.9500 | + | 33.2805i | −0.960665 | + | 1.18632i | 0.0217788 | + | 0.999763i | \(0.493067\pi\) |
−0.982444 | + | 0.186560i | \(0.940266\pi\) | |||||||
\(788\) | 5.30235 | + | 6.54786i | 0.188888 | + | 0.233258i | ||||
\(789\) | −2.61792 | + | 12.3163i | −0.0932002 | + | 0.438473i | ||||
\(790\) | 0.578878 | − | 2.51357i | 0.0205955 | − | 0.0894286i | ||||
\(791\) | 1.08910 | + | 0.791281i | 0.0387241 | + | 0.0281347i | ||||
\(792\) | −0.439075 | − | 0.676117i | −0.0156019 | − | 0.0240248i | ||||
\(793\) | 6.25853 | − | 5.06806i | 0.222247 | − | 0.179972i | ||||
\(794\) | −12.8471 | + | 1.35029i | −0.455928 | + | 0.0479199i | ||||
\(795\) | −12.6567 | − | 2.22469i | −0.448886 | − | 0.0789016i | ||||
\(796\) | −9.57448 | + | 21.5046i | −0.339358 | + | 0.762211i | ||||
\(797\) | −35.1098 | + | 1.84003i | −1.24365 | + | 0.0651770i | −0.662778 | − | 0.748816i | \(-0.730623\pi\) |
−0.580874 | + | 0.813993i | \(0.697289\pi\) | |||||||
\(798\) | −3.60149 | − | 1.83505i | −0.127491 | − | 0.0649601i | ||||
\(799\) | −5.77506 | − | 6.41385i | −0.204307 | − | 0.226906i | ||||
\(800\) | −2.41934 | + | 4.37571i | −0.0855366 | + | 0.154705i | ||||
\(801\) | −8.35752 | + | 4.82522i | −0.295298 | + | 0.170491i | ||||
\(802\) | −17.5905 | + | 8.96281i | −0.621142 | + | 0.316488i | ||||
\(803\) | −11.9798 | − | 4.59862i | −0.422759 | − | 0.162282i | ||||
\(804\) | −9.88386 | + | 7.18105i | −0.348577 | + | 0.253256i | ||||
\(805\) | 23.4421 | + | 9.45656i | 0.826226 | + | 0.333300i | ||||
\(806\) | 5.10991 | + | 1.89124i | 0.179989 | + | 0.0666160i | ||||
\(807\) | 14.7836 | − | 14.7836i | 0.520407 | − | 0.520407i | ||||
\(808\) | −12.5011 | − | 1.97998i | −0.439787 | − | 0.0696555i | ||||
\(809\) | 30.9754 | − | 13.7911i | 1.08904 | − | 0.484870i | 0.217930 | − | 0.975964i | \(-0.430070\pi\) |
0.871106 | + | 0.491094i | \(0.163403\pi\) | |||||||
\(810\) | 2.22745 | − | 0.196085i | 0.0782648 | − | 0.00688972i | ||||
\(811\) | 15.0390 | + | 26.0482i | 0.528089 | + | 0.914677i | 0.999464 | + | 0.0327443i | \(0.0104247\pi\) |
−0.471375 | + | 0.881933i | \(0.656242\pi\) | |||||||
\(812\) | 31.4066 | − | 8.41538i | 1.10216 | − | 0.295322i | ||||
\(813\) | 0.371661 | − | 7.09172i | 0.0130347 | − | 0.248718i | ||||
\(814\) | 1.15926 | − | 0.376665i | 0.0406319 | − | 0.0132021i | ||||
\(815\) | 14.3142 | − | 41.6443i | 0.501405 | − | 1.45873i | ||||
\(816\) | 1.22305 | + | 0.544536i | 0.0428152 | + | 0.0190626i | ||||
\(817\) | −3.51149 | − | 2.28039i | −0.122852 | − | 0.0797808i | ||||
\(818\) | 15.5991 | + | 12.6319i | 0.545411 | + | 0.441665i | ||||
\(819\) | −0.379958 | + | 3.61506i | −0.0132768 | + | 0.126320i | ||||
\(820\) | 6.18648 | + | 4.16799i | 0.216041 | + | 0.145553i | ||||
\(821\) | 9.84634 | − | 13.5523i | 0.343640 | − | 0.472979i | −0.601860 | − | 0.798601i | \(-0.705574\pi\) |
0.945500 | + | 0.325622i | \(0.105574\pi\) | |||||||
\(822\) | −16.1735 | + | 2.56163i | −0.564116 | + | 0.0893473i | ||||
\(823\) | −10.3447 | + | 6.71791i | −0.360593 | + | 0.234172i | −0.712201 | − | 0.701976i | \(-0.752302\pi\) |
0.351608 | + | 0.936147i | \(0.385635\pi\) | |||||||
\(824\) | 4.80969 | + | 0.505519i | 0.167554 | + | 0.0176106i | ||||
\(825\) | −4.00031 | + | 0.495547i | −0.139273 | + | 0.0172527i | ||||
\(826\) | −13.6484 | + | 2.90106i | −0.474889 | + | 0.100941i | ||||
\(827\) | −11.7532 | − | 30.6181i | −0.408698 | − | 1.06469i | −0.971277 | − | 0.237951i | \(-0.923524\pi\) |
0.562579 | − | 0.826743i | \(-0.309809\pi\) | |||||||
\(828\) | 0.159280 | + | 3.03923i | 0.00553535 | + | 0.105621i | ||||
\(829\) | −3.38291 | − | 10.4115i | −0.117493 | − | 0.361607i | 0.874966 | − | 0.484185i | \(-0.160884\pi\) |
−0.992459 | + | 0.122578i | \(0.960884\pi\) | |||||||
\(830\) | 4.83263 | + | 13.2553i | 0.167743 | + | 0.460099i | ||||
\(831\) | −10.3176 | + | 17.8706i | −0.357914 | + | 0.619926i | ||||
\(832\) | 0.253283 | − | 0.945264i | 0.00878100 | − | 0.0327711i | ||||
\(833\) | −4.13119 | − | 8.10792i | −0.143137 | − | 0.280923i | ||||
\(834\) | 1.00647 | + | 2.26057i | 0.0348512 | + | 0.0782771i | ||||
\(835\) | −5.09201 | + | 8.48488i | −0.176216 | + | 0.293631i | ||||
\(836\) | 0.877282i | 0.0303414i | ||||||||
\(837\) | −5.11330 | − | 2.20321i | −0.176742 | − | 0.0761539i | ||||
\(838\) | −19.5025 | − | 19.5025i | −0.673703 | − | 0.673703i | ||||
\(839\) | −28.0572 | − | 38.6175i | −0.968643 | − | 1.33322i | −0.942729 | − | 0.333559i | \(-0.891750\pi\) |
−0.0259141 | − | 0.999664i | \(-0.508250\pi\) | |||||||
\(840\) | 6.07746 | + | 5.66121i | 0.209692 | + | 0.195330i | ||||
\(841\) | 14.7170 | − | 45.2942i | 0.507482 | − | 1.56187i | ||||
\(842\) | 30.6739 | + | 8.21905i | 1.05709 | + | 0.283247i | ||||
\(843\) | −4.94096 | − | 18.4399i | −0.170176 | − | 0.635104i | ||||
\(844\) | −1.61259 | + | 1.45198i | −0.0555076 | + | 0.0499792i | ||||
\(845\) | −1.86391 | + | 26.8629i | −0.0641204 | + | 0.924111i | ||||
\(846\) | 4.31363 | − | 4.79077i | 0.148306 | − | 0.164710i | ||||
\(847\) | −35.8911 | + | 13.7773i | −1.23323 | + | 0.473394i | ||||
\(848\) | 3.13004 | − | 4.81985i | 0.107486 | − | 0.165514i | ||||
\(849\) | 1.57084 | + | 14.9455i | 0.0539110 | + | 0.512929i | ||||
\(850\) | 5.12324 | − | 4.30831i | 0.175726 | − | 0.147774i | ||||
\(851\) | −4.50098 | − | 0.956714i | −0.154292 | − | 0.0327957i | ||||
\(852\) | −1.12300 | − | 7.09033i | −0.0384733 | − | 0.242911i | ||||
\(853\) | 0.499587 | + | 3.15427i | 0.0171055 | + | 0.108000i | 0.994764 | − | 0.102200i | \(-0.0325883\pi\) |
−0.977658 | + | 0.210201i | \(0.932588\pi\) | |||||||
\(854\) | −29.8990 | − | 6.35523i | −1.02312 | − | 0.217471i | ||||
\(855\) | −2.14908 | − | 1.14121i | −0.0734971 | − | 0.0390284i | ||||
\(856\) | −0.595015 | − | 5.66119i | −0.0203372 | − | 0.193496i | ||||
\(857\) | 7.89033 | − | 12.1500i | 0.269528 | − | 0.415037i | −0.677827 | − | 0.735222i | \(-0.737078\pi\) |
0.947355 | + | 0.320184i | \(0.103745\pi\) | |||||||
\(858\) | 0.736531 | − | 0.282728i | 0.0251448 | − | 0.00965217i | ||||
\(859\) | 15.9198 | − | 17.6807i | 0.543176 | − | 0.603259i | −0.407591 | − | 0.913165i | \(-0.633631\pi\) |
0.950767 | + | 0.309906i | \(0.100298\pi\) | |||||||
\(860\) | 5.64791 | + | 6.49012i | 0.192592 | + | 0.221311i | ||||
\(861\) | 9.20857 | − | 8.29143i | 0.313827 | − | 0.282571i | ||||
\(862\) | −0.411496 | − | 1.53572i | −0.0140156 | − | 0.0523069i | ||||
\(863\) | 4.70651 | + | 1.26111i | 0.160212 | + | 0.0429286i | 0.338033 | − | 0.941134i | \(-0.390238\pi\) |
−0.177822 | + | 0.984063i | \(0.556905\pi\) | |||||||
\(864\) | −0.309017 | + | 0.951057i | −0.0105130 | + | 0.0323556i | ||||
\(865\) | −13.1487 | + | 14.1155i | −0.447070 | + | 0.479942i | ||||
\(866\) | 14.4945 | + | 19.9500i | 0.492545 | + | 0.677929i | ||||
\(867\) | 10.7534 | + | 10.7534i | 0.365205 | + | 0.365205i | ||||
\(868\) | −6.62716 | − | 19.5905i | −0.224940 | − | 0.664944i | ||||
\(869\) | 0.929946i | 0.0315462i | ||||||||
\(870\) | 18.9896 | − | 4.74550i | 0.643809 | − | 0.160888i | ||||
\(871\) | −4.86286 | − | 10.9222i | −0.164772 | − | 0.370083i | ||||
\(872\) | −4.40472 | − | 8.64475i | −0.149163 | − | 0.292748i | ||||
\(873\) | 1.28372 | − | 4.79090i | 0.0434473 | − | 0.162148i | ||||
\(874\) | 1.65592 | − | 2.86814i | 0.0560123 | − | 0.0970161i | ||||
\(875\) | 38.7462 | − | 14.9451i | 1.30986 | − | 0.505236i | ||||
\(876\) | 4.91871 | + | 15.1382i | 0.166188 | + | 0.511473i | ||||
\(877\) | 1.84685 | + | 35.2400i | 0.0623637 | + | 1.18997i | 0.833213 | + | 0.552952i | \(0.186499\pi\) |
−0.770849 | + | 0.637017i | \(0.780168\pi\) | |||||||
\(878\) | −6.31368 | − | 16.4477i | −0.213076 | − | 0.555083i | ||||
\(879\) | 15.2729 | − | 3.24635i | 0.515141 | − | 0.109497i | ||||
\(880\) | 0.495949 | − | 1.73310i | 0.0167184 | − | 0.0584228i | ||||
\(881\) | −27.1870 | − | 2.85747i | −0.915953 | − | 0.0962706i | −0.365191 | − | 0.930933i | \(-0.618996\pi\) |
−0.550762 | + | 0.834662i | \(0.685663\pi\) | |||||||
\(882\) | 5.70042 | − | 3.70189i | 0.191943 | − | 0.124649i | ||||
\(883\) | 32.6251 | − | 5.16731i | 1.09792 | − | 0.173894i | 0.418915 | − | 0.908026i | \(-0.362411\pi\) |
0.679007 | + | 0.734132i | \(0.262411\pi\) | |||||||
\(884\) | −0.770090 | + | 1.05994i | −0.0259009 | + | 0.0356496i | ||||
\(885\) | −8.24464 | + | 1.60720i | −0.277140 | + | 0.0540255i | ||||
\(886\) | −3.47234 | + | 33.0371i | −0.116656 | + | 1.10990i | ||||
\(887\) | 16.4309 | + | 13.3055i | 0.551695 | + | 0.446754i | 0.864190 | − | 0.503166i | \(-0.167831\pi\) |
−0.312495 | + | 0.949919i | \(0.601165\pi\) | |||||||
\(888\) | −1.26805 | − | 0.823478i | −0.0425528 | − | 0.0276341i | ||||
\(889\) | 63.4829 | + | 28.2644i | 2.12915 | + | 0.947957i | ||||
\(890\) | −20.4071 | − | 7.01446i | −0.684049 | − | 0.235125i | ||||
\(891\) | −0.766719 | + | 0.249122i | −0.0256861 | + | 0.00834591i | ||||
\(892\) | −0.656007 | + | 12.5174i | −0.0219648 | + | 0.419112i | ||||
\(893\) | −6.77619 | + | 1.81567i | −0.226756 | + | 0.0607592i | ||||
\(894\) | −7.40575 | − | 12.8271i | −0.247685 | − | 0.429003i | ||||
\(895\) | 31.5181 | + | 26.4179i | 1.05353 | + | 0.883054i | ||||
\(896\) | −3.39330 | + | 1.51079i | −0.113362 | + | 0.0504721i | ||||
\(897\) | −2.94164 | − | 0.465910i | −0.0982184 | − | 0.0155563i | ||||
\(898\) | −20.5520 | + | 20.5520i | −0.685828 | + | 0.685828i | ||||
\(899\) | −47.2256 | − | 12.0465i | −1.57506 | − | 0.401774i | ||||
\(900\) | 3.60044 | + | 3.46942i | 0.120015 | + | 0.115647i | ||||
\(901\) | −6.22462 | + | 4.52245i | −0.207372 | + | 0.150665i | ||||
\(902\) | −2.51078 | − | 0.963798i | −0.0835998 | − | 0.0320910i | ||||
\(903\) | 12.7340 | − | 6.48828i | 0.423760 | − | 0.215917i | ||||
\(904\) | −0.313871 | + | 0.181213i | −0.0104392 | + | 0.00602706i | ||||
\(905\) | 29.8856 | − | 23.3751i | 0.993430 | − | 0.777014i | ||||
\(906\) | −1.27947 | − | 1.42099i | −0.0425074 | − | 0.0472093i | ||||
\(907\) | −51.9104 | − | 26.4497i | −1.72366 | − | 0.878247i | −0.977058 | − | 0.212972i | \(-0.931686\pi\) |
−0.746598 | − | 0.665275i | \(-0.768314\pi\) | |||||||
\(908\) | 6.86622 | − | 0.359843i | 0.227864 | − | 0.0119418i | ||||
\(909\) | −5.14804 | + | 11.5627i | −0.170750 | + | 0.383510i | ||||
\(910\) | −6.65560 | + | 4.66564i | −0.220631 | + | 0.154664i | ||||
\(911\) | −12.8660 | + | 1.35228i | −0.426271 | + | 0.0448029i | −0.315235 | − | 0.949014i | \(-0.602083\pi\) |
−0.111036 | + | 0.993816i | \(0.535417\pi\) | |||||||
\(912\) | 0.845691 | − | 0.684827i | 0.0280036 | − | 0.0226769i | ||||
\(913\) | −2.77041 | − | 4.26606i | −0.0916872 | − | 0.141186i | ||||
\(914\) | 32.2321 | + | 23.4180i | 1.06614 | + | 0.774597i | ||||
\(915\) | −17.9318 | − | 4.12971i | −0.592806 | − | 0.136524i | ||||
\(916\) | −0.859566 | + | 4.04394i | −0.0284009 | + | 0.133616i | ||||
\(917\) | −2.56461 | − | 3.16703i | −0.0846909 | − | 0.104585i | ||||
\(918\) | 0.842529 | − | 1.04044i | 0.0278076 | − | 0.0343395i | ||||
\(919\) | −9.65310 | − | 45.4143i | −0.318426 | − | 1.49808i | −0.788270 | − | 0.615329i | \(-0.789023\pi\) |
0.469844 | − | 0.882749i | \(-0.344310\pi\) | |||||||
\(920\) | −4.89275 | + | 4.72997i | −0.161309 | + | 0.155942i | ||||
\(921\) | −17.7727 | − | 16.0026i | −0.585629 | − | 0.527303i | ||||
\(922\) | −12.9129 | + | 25.3429i | −0.425263 | + | 0.834625i | ||||
\(923\) | 7.01552 | + | 0.367668i | 0.230919 | + | 0.0121019i | ||||
\(924\) | −2.59330 | − | 1.49724i | −0.0853133 | − | 0.0492556i | ||||
\(925\) | −6.47586 | + | 3.90058i | −0.212925 | + | 0.128250i | ||||
\(926\) | −8.37917 | − | 2.72256i | −0.275357 | − | 0.0894688i | ||||
\(927\) | 1.73313 | − | 4.51497i | 0.0569236 | − | 0.148291i | ||||
\(928\) | −1.36936 | + | 8.64581i | −0.0449515 | + | 0.283813i | ||||
\(929\) | −54.2789 | −1.78083 | −0.890417 | − | 0.455146i | \(-0.849587\pi\) | ||||
−0.890417 | + | 0.455146i | \(0.849587\pi\) | |||||||
\(930\) | −3.78947 | − | 11.8592i | −0.124262 | − | 0.388877i | ||||
\(931\) | −7.39647 | −0.242410 | ||||||||
\(932\) | −3.06939 | + | 19.3793i | −0.100541 | + | 0.634792i | ||||
\(933\) | −3.26975 | + | 8.51798i | −0.107047 | + | 0.278866i | ||||
\(934\) | −36.4949 | − | 11.8579i | −1.19415 | − | 0.388002i | ||||
\(935\) | −1.45138 | + | 1.92820i | −0.0474652 | + | 0.0630590i | ||||
\(936\) | −0.847500 | − | 0.489305i | −0.0277014 | − | 0.0159934i | ||||
\(937\) | −38.5106 | − | 2.01825i | −1.25809 | − | 0.0659335i | −0.588395 | − | 0.808573i | \(-0.700240\pi\) |
−0.669691 | + | 0.742640i | \(0.733573\pi\) | |||||||
\(938\) | −20.6019 | + | 40.4335i | −0.672677 | + | 1.32020i | ||||
\(939\) | −16.7573 | − | 15.0884i | −0.546854 | − | 0.492390i | ||||
\(940\) | 14.4130 | + | 0.243821i | 0.470101 | + | 0.00795256i | ||||
\(941\) | −5.06863 | − | 23.8460i | −0.165233 | − | 0.777359i | −0.980225 | − | 0.197887i | \(-0.936592\pi\) |
0.814992 | − | 0.579472i | \(-0.196741\pi\) | |||||||
\(942\) | −8.79212 | + | 10.8574i | −0.286463 | + | 0.353752i | ||||
\(943\) | 6.38937 | + | 7.89022i | 0.208067 | + | 0.256941i | ||||
\(944\) | 0.781024 | − | 3.67443i | 0.0254202 | − | 0.119592i | ||||
\(945\) | 7.04127 | − | 4.40515i | 0.229053 | − | 0.143299i | ||||
\(946\) | −2.50945 | − | 1.82322i | −0.0815893 | − | 0.0592781i | ||||
\(947\) | 6.74282 | + | 10.3830i | 0.219112 | + | 0.337403i | 0.931084 | − | 0.364805i | \(-0.118864\pi\) |
−0.711972 | + | 0.702208i | \(0.752198\pi\) | |||||||
\(948\) | 0.896458 | − | 0.725937i | 0.0291156 | − | 0.0235773i | ||||
\(949\) | −15.4914 | + | 1.62822i | −0.502874 | + | 0.0528542i | ||||
\(950\) | −1.22967 | − | 5.30023i | −0.0398956 | − | 0.171962i | ||||
\(951\) | −11.3741 | + | 25.5467i | −0.368832 | + | 0.828410i | ||||
\(952\) | 4.96603 | − | 0.260259i | 0.160950 | − | 0.00843503i | ||||
\(953\) | 29.7938 | + | 15.1807i | 0.965117 | + | 0.491751i | 0.864203 | − | 0.503144i | \(-0.167823\pi\) |
0.100914 | + | 0.994895i | \(0.467823\pi\) | |||||||
\(954\) | −3.84550 | − | 4.27086i | −0.124503 | − | 0.138274i | ||||
\(955\) | −25.2311 | − | 32.2585i | −0.816458 | − | 1.04386i | ||||
\(956\) | 1.68618 | − | 0.973518i | 0.0545350 | − | 0.0314858i | ||||
\(957\) | −6.28777 | + | 3.20378i | −0.203255 | + | 0.103563i | ||||
\(958\) | −24.9709 | − | 9.58542i | −0.806772 | − | 0.309691i | ||||
\(959\) | −49.2078 | + | 35.7516i | −1.58900 | + | 1.15448i | ||||
\(960\) | −2.05784 | + | 0.874809i | −0.0664165 | + | 0.0282343i | ||||
\(961\) | −5.71324 | + | 30.4690i | −0.184298 | + | 0.982870i | ||||
\(962\) | 1.04626 | − | 1.04626i | 0.0337326 | − | 0.0337326i | ||||
\(963\) | −5.62229 | − | 0.890484i | −0.181176 | − | 0.0286954i | ||||
\(964\) | 8.14165 | − | 3.62490i | 0.262225 | − | 0.116750i | ||||
\(965\) | 0.340914 | + | 3.87266i | 0.0109744 | + | 0.124665i | ||||
\(966\) | 5.65225 | + | 9.78999i | 0.181858 | + | 0.314988i | ||||
\(967\) | −11.6313 | + | 3.11659i | −0.374037 | + | 0.100223i | −0.440940 | − | 0.897537i | \(-0.645355\pi\) |
0.0669031 | + | 0.997759i | \(0.478688\pi\) | |||||||
\(968\) | 0.541681 | − | 10.3359i | 0.0174103 | − | 0.332208i | ||||
\(969\) | −1.38557 | + | 0.450199i | −0.0445110 | + | 0.0144625i | ||||
\(970\) | 9.96563 | − | 4.86720i | 0.319977 | − | 0.156276i | ||||
\(971\) | −8.26559 | − | 3.68008i | −0.265255 | − | 0.118099i | 0.269800 | − | 0.962916i | \(-0.413042\pi\) |
−0.535055 | + | 0.844817i | \(0.679709\pi\) | |||||||
\(972\) | 0.838671 | + | 0.544639i | 0.0269004 | + | 0.0174693i | ||||
\(973\) | 7.14302 | + | 5.78430i | 0.228995 | + | 0.185436i | ||||
\(974\) | −2.24456 | + | 21.3556i | −0.0719204 | + | 0.684277i | ||||
\(975\) | −4.05357 | + | 2.74052i | −0.129818 | + | 0.0877669i | ||||
\(976\) | 4.83703 | − | 6.65760i | 0.154830 | − | 0.213105i | ||||
\(977\) | −30.6405 | + | 4.85298i | −0.980277 | + | 0.155261i | −0.625952 | − | 0.779862i | \(-0.715289\pi\) |
−0.354325 | + | 0.935122i | \(0.615289\pi\) | |||||||
\(978\) | 16.5162 | − | 10.7258i | 0.528131 | − | 0.342972i | ||||
\(979\) | 7.73733 | + | 0.813226i | 0.247286 | + | 0.0259908i | ||||
\(980\) | 14.6120 | + | 4.18141i | 0.466762 | + | 0.133570i | ||||
\(981\) | −9.49021 | + | 2.01721i | −0.302999 | + | 0.0644045i | ||||
\(982\) | 6.42906 | + | 16.7483i | 0.205159 | + | 0.534459i | ||||
\(983\) | −2.63349 | − | 50.2500i | −0.0839953 | − | 1.60273i | −0.637883 | − | 0.770134i | \(-0.720190\pi\) |
0.553887 | − | 0.832592i | \(-0.313144\pi\) | |||||||
\(984\) | 1.03088 | + | 3.17273i | 0.0328633 | + | 0.101143i | ||||
\(985\) | 17.0792 | + | 7.95295i | 0.544187 | + | 0.253402i | ||||
\(986\) | 5.85961 | − | 10.1491i | 0.186608 | − | 0.323215i | ||||
\(987\) | 6.19755 | − | 23.1296i | 0.197270 | − | 0.736223i | ||||
\(988\) | 0.483465 | + | 0.948854i | 0.0153811 | + | 0.0301871i | ||||
\(989\) | 4.76282 | + | 10.6975i | 0.151449 | + | 0.340160i | ||||
\(990\) | −1.54569 | − | 0.927610i | −0.0491251 | − | 0.0294814i | ||||
\(991\) | − | 29.1390i | − | 0.925629i | −0.886455 | − | 0.462815i | \(-0.846840\pi\) | ||
0.886455 | − | 0.462815i | \(-0.153160\pi\) | |||||||
\(992\) | 5.54387 | + | 0.515275i | 0.176018 | + | 0.0163600i | ||||
\(993\) | −10.3456 | − | 10.3456i | −0.328308 | − | 0.328308i | ||||
\(994\) | −15.6732 | − | 21.5723i | −0.497123 | − | 0.684231i | ||||
\(995\) | 1.86530 | + | 52.6034i | 0.0591339 | + | 1.66764i | ||||
\(996\) | −1.94979 | + | 6.00083i | −0.0617814 | + | 0.190144i | ||||
\(997\) | −18.9643 | − | 5.08146i | −0.600605 | − | 0.160931i | −0.0543093 | − | 0.998524i | \(-0.517296\pi\) |
−0.546295 | + | 0.837593i | \(0.683962\pi\) | |||||||
\(998\) | −4.91734 | − | 18.3517i | −0.155656 | − | 0.580914i | ||||
\(999\) | −1.12361 | + | 1.01171i | −0.0355495 | + | 0.0320090i |
(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.bt.b.13.1 | yes | 256 | |
5.2 | odd | 4 | 930.2.bt.a.757.6 | yes | 256 | ||
31.12 | odd | 30 | 930.2.bt.a.43.6 | ✓ | 256 | ||
155.12 | even | 60 | inner | 930.2.bt.b.787.1 | yes | 256 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
930.2.bt.a.43.6 | ✓ | 256 | 31.12 | odd | 30 | ||
930.2.bt.a.757.6 | yes | 256 | 5.2 | odd | 4 | ||
930.2.bt.b.13.1 | yes | 256 | 1.1 | even | 1 | trivial | |
930.2.bt.b.787.1 | yes | 256 | 155.12 | even | 60 | inner |