Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [950,2,Mod(99,950)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(950, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("950.99");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 950 = 2 \cdot 5^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 950.u (of order \(18\), degree \(6\), not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(7.58578819202\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{18})\) |
Coefficient field: | \(\Q(\zeta_{36})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{12} - x^{6} + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 38) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 549.1 | ||
Root | \(0.642788 + 0.766044i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 950.549 |
Dual form | 950.2.u.b.199.1 |
$q$-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 \(\left(\mathbb{Z}/950\mathbb{Z}\right)^\times\).
\(n\) | \(77\) | \(401\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{5}{9}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.984808 | − | 0.173648i | −0.696364 | − | 0.122788i | ||||
\(3\) | −0.223238 | + | 0.266044i | −0.128886 | + | 0.153601i | −0.826628 | − | 0.562749i | \(-0.809744\pi\) |
0.697742 | + | 0.716349i | \(0.254188\pi\) | |||||||
\(4\) | 0.939693 | + | 0.342020i | 0.469846 | + | 0.171010i | ||||
\(5\) | 0 | 0 | ||||||||
\(6\) | 0.266044 | − | 0.223238i | 0.108612 | − | 0.0911364i | ||||
\(7\) | 1.52314 | − | 0.879385i | 0.575693 | − | 0.332376i | −0.183727 | − | 0.982977i | \(-0.558816\pi\) |
0.759420 | + | 0.650601i | \(0.225483\pi\) | |||||||
\(8\) | −0.866025 | − | 0.500000i | −0.306186 | − | 0.176777i | ||||
\(9\) | 0.500000 | + | 2.83564i | 0.166667 | + | 0.945214i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −2.11334 | + | 3.66041i | −0.637196 | + | 1.10366i | 0.348849 | + | 0.937179i | \(0.386573\pi\) |
−0.986045 | + | 0.166477i | \(0.946761\pi\) | |||||||
\(12\) | −0.300767 | + | 0.173648i | −0.0868241 | + | 0.0501279i | ||||
\(13\) | 0.684040 | + | 0.815207i | 0.189719 | + | 0.226098i | 0.852516 | − | 0.522701i | \(-0.175075\pi\) |
−0.662798 | + | 0.748799i | \(0.730631\pi\) | |||||||
\(14\) | −1.65270 | + | 0.601535i | −0.441704 | + | 0.160767i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 0.766044 | + | 0.642788i | 0.191511 | + | 0.160697i | ||||
\(17\) | −7.02006 | − | 1.23783i | −1.70261 | − | 0.300217i | −0.764008 | − | 0.645207i | \(-0.776771\pi\) |
−0.938606 | + | 0.344990i | \(0.887882\pi\) | |||||||
\(18\) | − | 2.87939i | − | 0.678678i | ||||||
\(19\) | −3.93969 | + | 1.86516i | −0.903827 | + | 0.427897i | ||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −0.106067 | + | 0.601535i | −0.0231457 | + | 0.131266i | ||||
\(22\) | 2.71686 | − | 3.23783i | 0.579236 | − | 0.690307i | ||||
\(23\) | 1.28558 | − | 3.53209i | 0.268061 | − | 0.736491i | −0.730503 | − | 0.682910i | \(-0.760714\pi\) |
0.998563 | − | 0.0535814i | \(-0.0170637\pi\) | |||||||
\(24\) | 0.326352 | − | 0.118782i | 0.0666163 | − | 0.0242463i | ||||
\(25\) | 0 | 0 | ||||||||
\(26\) | −0.532089 | − | 0.921605i | −0.104351 | − | 0.180742i | ||||
\(27\) | −1.76833 | − | 1.02094i | −0.340315 | − | 0.196481i | ||||
\(28\) | 1.73205 | − | 0.305407i | 0.327327 | − | 0.0577166i | ||||
\(29\) | −1.10607 | − | 6.27282i | −0.205391 | − | 1.16483i | −0.896823 | − | 0.442390i | \(-0.854131\pi\) |
0.691431 | − | 0.722442i | \(-0.256981\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 4.41147 | + | 7.64090i | 0.792324 | + | 1.37235i | 0.924524 | + | 0.381123i | \(0.124462\pi\) |
−0.132200 | + | 0.991223i | \(0.542204\pi\) | |||||||
\(32\) | −0.642788 | − | 0.766044i | −0.113630 | − | 0.135419i | ||||
\(33\) | −0.502055 | − | 1.37939i | −0.0873966 | − | 0.240120i | ||||
\(34\) | 6.69846 | + | 2.43804i | 1.14878 | + | 0.418121i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | −0.500000 | + | 2.83564i | −0.0833333 | + | 0.472607i | ||||
\(37\) | 6.45336i | 1.06093i | 0.847708 | + | 0.530463i | \(0.177982\pi\) | ||||
−0.847708 | + | 0.530463i | \(0.822018\pi\) | |||||||
\(38\) | 4.20372 | − | 1.15270i | 0.681934 | − | 0.186993i | ||||
\(39\) | −0.369585 | −0.0591810 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 1.43969 | + | 1.20805i | 0.224842 | + | 0.188665i | 0.748249 | − | 0.663418i | \(-0.230895\pi\) |
−0.523407 | + | 0.852083i | \(0.675339\pi\) | |||||||
\(42\) | 0.208911 | − | 0.573978i | 0.0322357 | − | 0.0885667i | ||||
\(43\) | −1.26363 | − | 3.47178i | −0.192701 | − | 0.529442i | 0.805284 | − | 0.592889i | \(-0.202013\pi\) |
−0.997985 | + | 0.0634473i | \(0.979791\pi\) | |||||||
\(44\) | −3.23783 | + | 2.71686i | −0.488121 | + | 0.409582i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −1.87939 | + | 3.25519i | −0.277100 | + | 0.479952i | ||||
\(47\) | −3.61916 | + | 0.638156i | −0.527909 | + | 0.0930846i | −0.431249 | − | 0.902233i | \(-0.641927\pi\) |
−0.0966598 | + | 0.995317i | \(0.530816\pi\) | |||||||
\(48\) | −0.342020 | + | 0.0603074i | −0.0493664 | + | 0.00870462i | ||||
\(49\) | −1.95336 | + | 3.38332i | −0.279052 | + | 0.483332i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 1.89646 | − | 1.59132i | 0.265557 | − | 0.222829i | ||||
\(52\) | 0.363970 | + | 1.00000i | 0.0504736 | + | 0.138675i | ||||
\(53\) | −3.38160 | + | 9.29086i | −0.464498 | + | 1.27620i | 0.457571 | + | 0.889173i | \(0.348719\pi\) |
−0.922069 | + | 0.387025i | \(0.873503\pi\) | |||||||
\(54\) | 1.56418 | + | 1.31250i | 0.212858 | + | 0.178609i | ||||
\(55\) | 0 | 0 | ||||||||
\(56\) | −1.75877 | −0.235026 | ||||||||
\(57\) | 0.383273 | − | 1.46451i | 0.0507657 | − | 0.193979i | ||||
\(58\) | 6.36959i | 0.836367i | ||||||||
\(59\) | 1.26604 | − | 7.18009i | 0.164825 | − | 0.934769i | −0.784420 | − | 0.620230i | \(-0.787039\pi\) |
0.949245 | − | 0.314538i | \(-0.101850\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −4.98545 | − | 1.81456i | −0.638322 | − | 0.232330i | 0.00252758 | − | 0.999997i | \(-0.499195\pi\) |
−0.640849 | + | 0.767667i | \(0.721418\pi\) | |||||||
\(62\) | −3.01763 | − | 8.29086i | −0.383239 | − | 1.05294i | ||||
\(63\) | 3.25519 | + | 3.87939i | 0.410115 | + | 0.488757i | ||||
\(64\) | 0.500000 | + | 0.866025i | 0.0625000 | + | 0.108253i | ||||
\(65\) | 0 | 0 | ||||||||
\(66\) | 0.254900 | + | 1.44561i | 0.0313760 | + | 0.177942i | ||||
\(67\) | −11.4613 | + | 2.02094i | −1.40023 | + | 0.246898i | −0.822236 | − | 0.569146i | \(-0.807274\pi\) |
−0.577990 | + | 0.816044i | \(0.696163\pi\) | |||||||
\(68\) | −6.17334 | − | 3.56418i | −0.748627 | − | 0.432220i | ||||
\(69\) | 0.652704 | + | 1.13052i | 0.0785763 | + | 0.136098i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −2.65270 | + | 0.965505i | −0.314818 | + | 0.114584i | −0.494596 | − | 0.869123i | \(-0.664684\pi\) |
0.179778 | + | 0.983707i | \(0.442462\pi\) | |||||||
\(72\) | 0.984808 | − | 2.70574i | 0.116061 | − | 0.318874i | ||||
\(73\) | −0.509678 | + | 0.607411i | −0.0596533 | + | 0.0710921i | −0.795046 | − | 0.606549i | \(-0.792553\pi\) |
0.735393 | + | 0.677641i | \(0.236998\pi\) | |||||||
\(74\) | 1.12061 | − | 6.35532i | 0.130269 | − | 0.738791i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −4.34002 | + | 0.405223i | −0.497835 | + | 0.0464823i | ||||
\(77\) | 7.43376i | 0.847156i | ||||||||
\(78\) | 0.363970 | + | 0.0641778i | 0.0412115 | + | 0.00726670i | ||||
\(79\) | 5.12836 | + | 4.30320i | 0.576985 | + | 0.484148i | 0.883955 | − | 0.467571i | \(-0.154871\pi\) |
−0.306970 | + | 0.951719i | \(0.599315\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −7.45084 | + | 2.71188i | −0.827871 | + | 0.301320i | ||||
\(82\) | −1.20805 | − | 1.43969i | −0.133406 | − | 0.158987i | ||||
\(83\) | 1.30753 | − | 0.754900i | 0.143520 | − | 0.0828610i | −0.426521 | − | 0.904478i | \(-0.640261\pi\) |
0.570040 | + | 0.821617i | \(0.306928\pi\) | |||||||
\(84\) | −0.305407 | + | 0.528981i | −0.0333227 | + | 0.0577166i | ||||
\(85\) | 0 | 0 | ||||||||
\(86\) | 0.641559 | + | 3.63846i | 0.0691811 | + | 0.392346i | ||||
\(87\) | 1.91576 | + | 1.10607i | 0.205391 | + | 0.118583i | ||||
\(88\) | 3.66041 | − | 2.11334i | 0.390201 | − | 0.225283i | ||||
\(89\) | −9.12108 | + | 7.65350i | −0.966833 | + | 0.811269i | −0.982051 | − | 0.188615i | \(-0.939600\pi\) |
0.0152184 | + | 0.999884i | \(0.495156\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 1.75877 | + | 0.640140i | 0.184369 | + | 0.0671049i | ||||
\(92\) | 2.41609 | − | 2.87939i | 0.251895 | − | 0.300197i | ||||
\(93\) | −3.01763 | − | 0.532089i | −0.312913 | − | 0.0551750i | ||||
\(94\) | 3.67499 | 0.379047 | ||||||||
\(95\) | 0 | 0 | ||||||||
\(96\) | 0.347296 | 0.0354458 | ||||||||
\(97\) | −1.85083 | − | 0.326352i | −0.187924 | − | 0.0331360i | 0.0788942 | − | 0.996883i | \(-0.474861\pi\) |
−0.266818 | + | 0.963747i | \(0.585972\pi\) | |||||||
\(98\) | 2.51120 | − | 2.99273i | 0.253669 | − | 0.302311i | ||||
\(99\) | −11.4363 | − | 4.16247i | −1.14939 | − | 0.418344i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −1.87939 | + | 1.57699i | −0.187006 | + | 0.156917i | −0.731484 | − | 0.681858i | \(-0.761172\pi\) |
0.544478 | + | 0.838775i | \(0.316728\pi\) | |||||||
\(102\) | −2.14398 | + | 1.23783i | −0.212285 | + | 0.122563i | ||||
\(103\) | 6.43783 | + | 3.71688i | 0.634338 | + | 0.366235i | 0.782430 | − | 0.622738i | \(-0.213980\pi\) |
−0.148092 | + | 0.988974i | \(0.547313\pi\) | |||||||
\(104\) | −0.184793 | − | 1.04801i | −0.0181204 | − | 0.102766i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 4.94356 | − | 8.56250i | 0.480161 | − | 0.831664i | ||||
\(107\) | 0.153331 | − | 0.0885259i | 0.0148231 | − | 0.00855812i | −0.492570 | − | 0.870273i | \(-0.663942\pi\) |
0.507393 | + | 0.861715i | \(0.330609\pi\) | |||||||
\(108\) | −1.31250 | − | 1.56418i | −0.126295 | − | 0.150513i | ||||
\(109\) | 3.98545 | − | 1.45059i | 0.381737 | − | 0.138941i | −0.144022 | − | 0.989574i | \(-0.546004\pi\) |
0.525759 | + | 0.850634i | \(0.323781\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −1.71688 | − | 1.44063i | −0.162959 | − | 0.136739i | ||||
\(112\) | 1.73205 | + | 0.305407i | 0.163663 | + | 0.0288583i | ||||
\(113\) | 10.4388i | 0.982001i | 0.871159 | + | 0.491001i | \(0.163369\pi\) | ||||
−0.871159 | + | 0.491001i | \(0.836631\pi\) | |||||||
\(114\) | −0.631759 | + | 1.37570i | −0.0591697 | + | 0.128846i | ||||
\(115\) | 0 | 0 | ||||||||
\(116\) | 1.10607 | − | 6.27282i | 0.102696 | − | 0.582416i | ||||
\(117\) | −1.96962 | + | 2.34730i | −0.182091 | + | 0.217008i | ||||
\(118\) | −2.49362 | + | 6.85117i | −0.229556 | + | 0.630701i | ||||
\(119\) | −11.7811 | + | 4.28795i | −1.07997 | + | 0.393076i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −3.43242 | − | 5.94512i | −0.312038 | − | 0.540466i | ||||
\(122\) | 4.59462 | + | 2.65270i | 0.415977 | + | 0.240165i | ||||
\(123\) | −0.642788 | + | 0.113341i | −0.0579582 | + | 0.0102196i | ||||
\(124\) | 1.53209 | + | 8.68891i | 0.137586 | + | 0.780287i | ||||
\(125\) | 0 | 0 | ||||||||
\(126\) | −2.53209 | − | 4.38571i | −0.225576 | − | 0.390710i | ||||
\(127\) | 14.1513 | + | 16.8648i | 1.25572 | + | 1.49651i | 0.791986 | + | 0.610539i | \(0.209047\pi\) |
0.463737 | + | 0.885973i | \(0.346508\pi\) | |||||||
\(128\) | −0.342020 | − | 0.939693i | −0.0302306 | − | 0.0830579i | ||||
\(129\) | 1.20574 | + | 0.438852i | 0.106159 | + | 0.0386388i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −1.32888 | + | 7.53644i | −0.116105 | + | 0.658462i | 0.870093 | + | 0.492888i | \(0.164059\pi\) |
−0.986197 | + | 0.165574i | \(0.947052\pi\) | |||||||
\(132\) | − | 1.46791i | − | 0.127765i | ||||||
\(133\) | −4.36051 | + | 6.30541i | −0.378104 | + | 0.546748i | ||||
\(134\) | 11.6382 | 1.00538 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 5.46064 | + | 4.58202i | 0.468246 | + | 0.392905i | ||||
\(137\) | 1.96199 | − | 5.39053i | 0.167624 | − | 0.460544i | −0.827230 | − | 0.561864i | \(-0.810084\pi\) |
0.994854 | + | 0.101320i | \(0.0323066\pi\) | |||||||
\(138\) | −0.446476 | − | 1.22668i | −0.0380065 | − | 0.104422i | ||||
\(139\) | 14.8589 | − | 12.4681i | 1.26032 | − | 1.05753i | 0.264668 | − | 0.964340i | \(-0.414738\pi\) |
0.995648 | − | 0.0931911i | \(-0.0297068\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 0.638156 | − | 1.10532i | 0.0537424 | − | 0.0930846i | ||||
\(142\) | 2.78006 | − | 0.490200i | 0.233298 | − | 0.0411367i | ||||
\(143\) | −4.42961 | + | 0.781059i | −0.370422 | + | 0.0653155i | ||||
\(144\) | −1.43969 | + | 2.49362i | −0.119974 | + | 0.207802i | ||||
\(145\) | 0 | 0 | ||||||||
\(146\) | 0.607411 | − | 0.509678i | 0.0502697 | − | 0.0421813i | ||||
\(147\) | −0.464050 | − | 1.27497i | −0.0382742 | − | 0.105158i | ||||
\(148\) | −2.20718 | + | 6.06418i | −0.181429 | + | 0.498472i | ||||
\(149\) | 3.96585 | + | 3.32774i | 0.324895 | + | 0.272619i | 0.790616 | − | 0.612312i | \(-0.209760\pi\) |
−0.465721 | + | 0.884932i | \(0.654205\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 22.1830 | 1.80523 | 0.902615 | − | 0.430449i | \(-0.141645\pi\) | ||||
0.902615 | + | 0.430449i | \(0.141645\pi\) | |||||||
\(152\) | 4.34445 | + | 0.354570i | 0.352382 | + | 0.0287595i | ||||
\(153\) | − | 20.5253i | − | 1.65937i | ||||||
\(154\) | 1.29086 | − | 7.32083i | 0.104020 | − | 0.589929i | ||||
\(155\) | 0 | 0 | ||||||||
\(156\) | −0.347296 | − | 0.126406i | −0.0278060 | − | 0.0101205i | ||||
\(157\) | −0.965505 | − | 2.65270i | −0.0770557 | − | 0.211709i | 0.895184 | − | 0.445698i | \(-0.147044\pi\) |
−0.972239 | + | 0.233989i | \(0.924822\pi\) | |||||||
\(158\) | −4.30320 | − | 5.12836i | −0.342344 | − | 0.407990i | ||||
\(159\) | −1.71688 | − | 2.97373i | −0.136158 | − | 0.235832i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −1.14796 | − | 6.51038i | −0.0904716 | − | 0.513090i | ||||
\(162\) | 7.80856 | − | 1.37686i | 0.613498 | − | 0.108176i | ||||
\(163\) | −1.92166 | − | 1.10947i | −0.150516 | − | 0.0869004i | 0.422851 | − | 0.906199i | \(-0.361030\pi\) |
−0.573366 | + | 0.819299i | \(0.694363\pi\) | |||||||
\(164\) | 0.939693 | + | 1.62760i | 0.0733777 | + | 0.127094i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −1.41875 | + | 0.516382i | −0.110116 | + | 0.0400790i | ||||
\(167\) | −1.33943 | + | 3.68004i | −0.103648 | + | 0.284770i | −0.980667 | − | 0.195686i | \(-0.937307\pi\) |
0.877019 | + | 0.480456i | \(0.159529\pi\) | |||||||
\(168\) | 0.392624 | − | 0.467911i | 0.0302916 | − | 0.0361001i | ||||
\(169\) | 2.06077 | − | 11.6872i | 0.158521 | − | 0.899018i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −7.25877 | − | 10.2390i | −0.555092 | − | 0.782994i | ||||
\(172\) | − | 3.69459i | − | 0.281710i | ||||||
\(173\) | 7.43199 | + | 1.31046i | 0.565043 | + | 0.0996324i | 0.448871 | − | 0.893597i | \(-0.351826\pi\) |
0.116173 | + | 0.993229i | \(0.462937\pi\) | |||||||
\(174\) | −1.69459 | − | 1.42193i | −0.128467 | − | 0.107796i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | −3.97178 | + | 1.44561i | −0.299384 | + | 0.108967i | ||||
\(177\) | 1.62760 | + | 1.93969i | 0.122338 | + | 0.145796i | ||||
\(178\) | 10.3115 | − | 5.95336i | 0.772882 | − | 0.446223i | ||||
\(179\) | −5.49407 | + | 9.51601i | −0.410646 | + | 0.711260i | −0.994961 | − | 0.100267i | \(-0.968030\pi\) |
0.584314 | + | 0.811527i | \(0.301363\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −2.61081 | − | 14.8067i | −0.194060 | − | 1.10057i | −0.913751 | − | 0.406276i | \(-0.866827\pi\) |
0.719690 | − | 0.694295i | \(-0.244284\pi\) | |||||||
\(182\) | −1.62089 | − | 0.935822i | −0.120148 | − | 0.0693678i | ||||
\(183\) | 1.59569 | − | 0.921274i | 0.117957 | − | 0.0681026i | ||||
\(184\) | −2.87939 | + | 2.41609i | −0.212271 | + | 0.178117i | ||||
\(185\) | 0 | 0 | ||||||||
\(186\) | 2.87939 | + | 1.04801i | 0.211127 | + | 0.0768439i | ||||
\(187\) | 19.3667 | − | 23.0804i | 1.41624 | − | 1.68780i | ||||
\(188\) | −3.61916 | − | 0.638156i | −0.263954 | − | 0.0465423i | ||||
\(189\) | −3.59121 | −0.261222 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 4.53714 | 0.328296 | 0.164148 | − | 0.986436i | \(-0.447513\pi\) | ||||
0.164148 | + | 0.986436i | \(0.447513\pi\) | |||||||
\(192\) | −0.342020 | − | 0.0603074i | −0.0246832 | − | 0.00435231i | ||||
\(193\) | −14.1387 | + | 16.8498i | −1.01772 | + | 1.21288i | −0.0408274 | + | 0.999166i | \(0.512999\pi\) |
−0.976897 | + | 0.213711i | \(0.931445\pi\) | |||||||
\(194\) | 1.76604 | + | 0.642788i | 0.126795 | + | 0.0461495i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −2.99273 | + | 2.51120i | −0.213766 | + | 0.179371i | ||||
\(197\) | −13.7973 | + | 7.96585i | −0.983014 | + | 0.567543i | −0.903179 | − | 0.429265i | \(-0.858773\pi\) |
−0.0798353 | + | 0.996808i | \(0.525439\pi\) | |||||||
\(198\) | 10.5397 | + | 6.08512i | 0.749027 | + | 0.432451i | ||||
\(199\) | 0.568926 | + | 3.22654i | 0.0403301 | + | 0.228723i | 0.998310 | − | 0.0581118i | \(-0.0185080\pi\) |
−0.957980 | + | 0.286835i | \(0.907397\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 2.02094 | − | 3.50038i | 0.142546 | − | 0.246898i | ||||
\(202\) | 2.12467 | − | 1.22668i | 0.149492 | − | 0.0863090i | ||||
\(203\) | −7.20092 | − | 8.58172i | −0.505405 | − | 0.602319i | ||||
\(204\) | 2.32635 | − | 0.846723i | 0.162877 | − | 0.0592825i | ||||
\(205\) | 0 | 0 | ||||||||
\(206\) | −5.69459 | − | 4.77833i | −0.396761 | − | 0.332922i | ||||
\(207\) | 10.6585 | + | 1.87939i | 0.740819 | + | 0.130626i | ||||
\(208\) | 1.06418i | 0.0737875i | ||||||||
\(209\) | 1.49866 | − | 18.3626i | 0.103664 | − | 1.27017i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 1.99154 | − | 11.2946i | 0.137104 | − | 0.777553i | −0.836268 | − | 0.548321i | \(-0.815267\pi\) |
0.973372 | − | 0.229232i | \(-0.0736215\pi\) | |||||||
\(212\) | −6.35532 | + | 7.57398i | −0.436485 | + | 0.520183i | ||||
\(213\) | 0.335316 | − | 0.921274i | 0.0229755 | − | 0.0631247i | ||||
\(214\) | −0.166374 | + | 0.0605553i | −0.0113731 | + | 0.00413947i | ||||
\(215\) | 0 | 0 | ||||||||
\(216\) | 1.02094 | + | 1.76833i | 0.0694665 | + | 0.120319i | ||||
\(217\) | 13.4386 | + | 7.75877i | 0.912271 | + | 0.526700i | ||||
\(218\) | −4.17680 | + | 0.736482i | −0.282888 | + | 0.0498808i | ||||
\(219\) | −0.0478189 | − | 0.271194i | −0.00323130 | − | 0.0183256i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −3.79292 | − | 6.56953i | −0.255139 | − | 0.441914i | ||||
\(222\) | 1.44063 | + | 1.71688i | 0.0966891 | + | 0.115230i | ||||
\(223\) | −3.82807 | − | 10.5175i | −0.256347 | − | 0.704307i | −0.999385 | − | 0.0350581i | \(-0.988838\pi\) |
0.743039 | − | 0.669249i | \(-0.233384\pi\) | |||||||
\(224\) | −1.65270 | − | 0.601535i | −0.110426 | − | 0.0401917i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 1.81268 | − | 10.2802i | 0.120578 | − | 0.683830i | ||||
\(227\) | 3.39693i | 0.225462i | 0.993626 | + | 0.112731i | \(0.0359598\pi\) | ||||
−0.993626 | + | 0.112731i | \(0.964040\pi\) | |||||||
\(228\) | 0.861050 | − | 1.24510i | 0.0570244 | − | 0.0824588i | ||||
\(229\) | −4.25671 | −0.281291 | −0.140646 | − | 0.990060i | \(-0.544918\pi\) | ||||
−0.140646 | + | 0.990060i | \(0.544918\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −1.97771 | − | 1.65950i | −0.130124 | − | 0.109187i | ||||
\(232\) | −2.17853 | + | 5.98545i | −0.143027 | + | 0.392964i | ||||
\(233\) | −2.27211 | − | 6.24257i | −0.148851 | − | 0.408965i | 0.842749 | − | 0.538307i | \(-0.180936\pi\) |
−0.991600 | + | 0.129342i | \(0.958714\pi\) | |||||||
\(234\) | 2.34730 | − | 1.96962i | 0.153448 | − | 0.128758i | ||||
\(235\) | 0 | 0 | ||||||||
\(236\) | 3.64543 | − | 6.31407i | 0.237297 | − | 0.411011i | ||||
\(237\) | −2.28969 | + | 0.403733i | −0.148731 | + | 0.0262253i | ||||
\(238\) | 12.3467 | − | 2.17705i | 0.800316 | − | 0.141117i | ||||
\(239\) | 8.00774 | − | 13.8698i | 0.517978 | − | 0.897164i | −0.481804 | − | 0.876279i | \(-0.660018\pi\) |
0.999782 | − | 0.0208848i | \(-0.00664831\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −6.59105 | + | 5.53055i | −0.424567 | + | 0.356254i | −0.829897 | − | 0.557916i | \(-0.811601\pi\) |
0.405330 | + | 0.914170i | \(0.367157\pi\) | |||||||
\(242\) | 2.34791 | + | 6.45084i | 0.150930 | + | 0.414676i | ||||
\(243\) | 3.03693 | − | 8.34389i | 0.194819 | − | 0.535261i | ||||
\(244\) | −4.06418 | − | 3.41025i | −0.260182 | − | 0.218319i | ||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 0.652704 | 0.0416149 | ||||||||
\(247\) | −4.21540 | − | 1.93582i | −0.268220 | − | 0.123173i | ||||
\(248\) | − | 8.82295i | − | 0.560258i | ||||||
\(249\) | −0.0910521 | + | 0.516382i | −0.00577019 | + | 0.0327244i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 18.7087 | + | 6.80942i | 1.18088 | + | 0.429807i | 0.856514 | − | 0.516123i | \(-0.172625\pi\) |
0.324370 | + | 0.945930i | \(0.394848\pi\) | |||||||
\(252\) | 1.73205 | + | 4.75877i | 0.109109 | + | 0.299774i | ||||
\(253\) | 10.2120 | + | 12.1702i | 0.642026 | + | 0.765137i | ||||
\(254\) | −11.0077 | − | 19.0660i | −0.690687 | − | 1.19631i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 0.173648 | + | 0.984808i | 0.0108530 | + | 0.0615505i | ||||
\(257\) | 26.0161 | − | 4.58734i | 1.62284 | − | 0.286151i | 0.713018 | − | 0.701146i | \(-0.247328\pi\) |
0.909823 | + | 0.414996i | \(0.136217\pi\) | |||||||
\(258\) | −1.11121 | − | 0.641559i | −0.0691811 | − | 0.0399417i | ||||
\(259\) | 5.67499 | + | 9.82938i | 0.352627 | + | 0.610768i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 17.2344 | − | 6.27282i | 1.06678 | − | 0.388278i | ||||
\(262\) | 2.61738 | − | 7.19119i | 0.161702 | − | 0.444273i | ||||
\(263\) | 17.9606 | − | 21.4047i | 1.10750 | − | 1.31987i | 0.164763 | − | 0.986333i | \(-0.447314\pi\) |
0.942738 | − | 0.333535i | \(-0.108242\pi\) | |||||||
\(264\) | −0.254900 | + | 1.44561i | −0.0156880 | + | 0.0889712i | ||||
\(265\) | 0 | 0 | ||||||||
\(266\) | 5.38919 | − | 5.45242i | 0.330432 | − | 0.334309i | ||||
\(267\) | − | 4.13516i | − | 0.253068i | ||||||
\(268\) | −11.4613 | − | 2.02094i | −0.700113 | − | 0.123449i | ||||
\(269\) | −11.1702 | − | 9.37295i | −0.681062 | − | 0.571479i | 0.235255 | − | 0.971934i | \(-0.424408\pi\) |
−0.916316 | + | 0.400455i | \(0.868852\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 17.1284 | − | 6.23421i | 1.04047 | − | 0.378701i | 0.235414 | − | 0.971895i | \(-0.424355\pi\) |
0.805060 | + | 0.593194i | \(0.202133\pi\) | |||||||
\(272\) | −4.58202 | − | 5.46064i | −0.277826 | − | 0.331100i | ||||
\(273\) | −0.562930 | + | 0.325008i | −0.0340701 | + | 0.0196704i | ||||
\(274\) | −2.86824 | + | 4.96794i | −0.173277 | + | 0.300124i | ||||
\(275\) | 0 | 0 | ||||||||
\(276\) | 0.226682 | + | 1.28558i | 0.0136446 | + | 0.0773825i | ||||
\(277\) | −14.2624 | − | 8.23442i | −0.856947 | − | 0.494758i | 0.00604184 | − | 0.999982i | \(-0.498077\pi\) |
−0.862989 | + | 0.505223i | \(0.831410\pi\) | |||||||
\(278\) | −16.7982 | + | 9.69846i | −1.00749 | + | 0.581675i | ||||
\(279\) | −19.4611 | + | 16.3298i | −1.16511 | + | 0.977640i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 6.73783 | + | 2.45237i | 0.401945 | + | 0.146296i | 0.535079 | − | 0.844802i | \(-0.320282\pi\) |
−0.133134 | + | 0.991098i | \(0.542504\pi\) | |||||||
\(282\) | −0.820397 | + | 0.977711i | −0.0488539 | + | 0.0582219i | ||||
\(283\) | 20.6187 | + | 3.63563i | 1.22565 | + | 0.216116i | 0.748757 | − | 0.662844i | \(-0.230651\pi\) |
0.476896 | + | 0.878960i | \(0.341762\pi\) | |||||||
\(284\) | −2.82295 | −0.167511 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 4.49794 | 0.265969 | ||||||||
\(287\) | 3.25519 | + | 0.573978i | 0.192148 | + | 0.0338808i | ||||
\(288\) | 1.85083 | − | 2.20574i | 0.109061 | − | 0.129974i | ||||
\(289\) | 31.7743 | + | 11.5649i | 1.86907 | + | 0.680287i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 0.500000 | − | 0.419550i | 0.0293105 | − | 0.0245944i | ||||
\(292\) | −0.686688 | + | 0.396459i | −0.0401854 | + | 0.0232010i | ||||
\(293\) | −8.20848 | − | 4.73917i | −0.479545 | − | 0.276865i | 0.240682 | − | 0.970604i | \(-0.422629\pi\) |
−0.720227 | + | 0.693739i | \(0.755962\pi\) | |||||||
\(294\) | 0.235604 | + | 1.33618i | 0.0137407 | + | 0.0779275i | ||||
\(295\) | 0 | 0 | ||||||||
\(296\) | 3.22668 | − | 5.58878i | 0.187547 | − | 0.324841i | ||||
\(297\) | 7.47416 | − | 4.31521i | 0.433695 | − | 0.250394i | ||||
\(298\) | −3.32774 | − | 3.96585i | −0.192771 | − | 0.229736i | ||||
\(299\) | 3.75877 | − | 1.36808i | 0.217375 | − | 0.0791181i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −4.97771 | − | 4.17680i | −0.286911 | − | 0.240747i | ||||
\(302\) | −21.8460 | − | 3.85204i | −1.25710 | − | 0.221660i | ||||
\(303\) | − | 0.852044i | − | 0.0489487i | ||||||
\(304\) | −4.21688 | − | 1.10359i | −0.241855 | − | 0.0632952i | ||||
\(305\) | 0 | 0 | ||||||||
\(306\) | −3.56418 | + | 20.2135i | −0.203750 | + | 1.15553i | ||||
\(307\) | 0.854946 | − | 1.01889i | 0.0487944 | − | 0.0581508i | −0.741095 | − | 0.671400i | \(-0.765693\pi\) |
0.789890 | + | 0.613249i | \(0.210138\pi\) | |||||||
\(308\) | −2.54250 | + | 6.98545i | −0.144872 | + | 0.398033i | ||||
\(309\) | −2.42602 | + | 0.883000i | −0.138012 | + | 0.0502321i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −3.73917 | − | 6.47643i | −0.212029 | − | 0.367245i | 0.740320 | − | 0.672254i | \(-0.234674\pi\) |
−0.952349 | + | 0.305009i | \(0.901340\pi\) | |||||||
\(312\) | 0.320070 | + | 0.184793i | 0.0181204 | + | 0.0104618i | ||||
\(313\) | −28.8535 | + | 5.08765i | −1.63090 | + | 0.287571i | −0.912810 | − | 0.408384i | \(-0.866092\pi\) |
−0.718085 | + | 0.695955i | \(0.754981\pi\) | |||||||
\(314\) | 0.490200 | + | 2.78006i | 0.0276636 | + | 0.156888i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 3.34730 | + | 5.79769i | 0.188300 | + | 0.326145i | ||||
\(317\) | −3.60046 | − | 4.29086i | −0.202222 | − | 0.240999i | 0.655397 | − | 0.755285i | \(-0.272501\pi\) |
−0.857619 | + | 0.514286i | \(0.828057\pi\) | |||||||
\(318\) | 1.17442 | + | 3.22668i | 0.0658580 | + | 0.180943i | ||||
\(319\) | 25.2986 | + | 9.20794i | 1.41645 | + | 0.515546i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −0.0106775 | + | 0.0605553i | −0.000595961 | + | 0.00337987i | ||||
\(322\) | 6.61081i | 0.368406i | ||||||||
\(323\) | 29.9656 | − | 8.21688i | 1.66733 | − | 0.457200i | ||||
\(324\) | −7.92902 | −0.440501 | ||||||||
\(325\) | 0 | 0 | ||||||||
\(326\) | 1.69981 | + | 1.42631i | 0.0941436 | + | 0.0789959i | ||||
\(327\) | −0.503783 | + | 1.38413i | −0.0278593 | + | 0.0765427i | ||||
\(328\) | −0.642788 | − | 1.76604i | −0.0354920 | − | 0.0975135i | ||||
\(329\) | −4.95130 | + | 4.15464i | −0.272974 | + | 0.229053i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −11.4880 | + | 19.8978i | −0.631436 | + | 1.09368i | 0.355822 | + | 0.934554i | \(0.384201\pi\) |
−0.987258 | + | 0.159126i | \(0.949132\pi\) | |||||||
\(332\) | 1.48686 | − | 0.262174i | 0.0816022 | − | 0.0143887i | ||||
\(333\) | −18.2994 | + | 3.22668i | −1.00280 | + | 0.176821i | ||||
\(334\) | 1.95811 | − | 3.39155i | 0.107143 | − | 0.185577i | ||||
\(335\) | 0 | 0 | ||||||||
\(336\) | −0.467911 | + | 0.392624i | −0.0255266 | + | 0.0214194i | ||||
\(337\) | 0.448804 | + | 1.23308i | 0.0244479 | + | 0.0671701i | 0.951316 | − | 0.308217i | \(-0.0997322\pi\) |
−0.926868 | + | 0.375387i | \(0.877510\pi\) | |||||||
\(338\) | −4.05893 | + | 11.1518i | −0.220777 | + | 0.606579i | ||||
\(339\) | −2.77719 | − | 2.33034i | −0.150836 | − | 0.126567i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −37.2918 | −2.01946 | ||||||||
\(342\) | 5.37051 | + | 11.3439i | 0.290404 | + | 0.613407i | ||||
\(343\) | 19.1824i | 1.03575i | ||||||||
\(344\) | −0.641559 | + | 3.63846i | −0.0345906 | + | 0.196173i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −7.09152 | − | 2.58110i | −0.381242 | − | 0.138761i | ||||
\(347\) | 0.826501 | + | 2.27079i | 0.0443689 | + | 0.121903i | 0.959898 | − | 0.280349i | \(-0.0904501\pi\) |
−0.915529 | + | 0.402251i | \(0.868228\pi\) | |||||||
\(348\) | 1.42193 | + | 1.69459i | 0.0762236 | + | 0.0908397i | ||||
\(349\) | −4.24897 | − | 7.35943i | −0.227442 | − | 0.393941i | 0.729607 | − | 0.683866i | \(-0.239703\pi\) |
−0.957049 | + | 0.289925i | \(0.906370\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −0.377326 | − | 2.13992i | −0.0201402 | − | 0.114221i | ||||
\(352\) | 4.16247 | − | 0.733956i | 0.221860 | − | 0.0391200i | ||||
\(353\) | 3.32570 | + | 1.92009i | 0.177009 | + | 0.102196i | 0.585887 | − | 0.810393i | \(-0.300746\pi\) |
−0.408878 | + | 0.912589i | \(0.634080\pi\) | |||||||
\(354\) | −1.26604 | − | 2.19285i | −0.0672895 | − | 0.116549i | ||||
\(355\) | 0 | 0 | ||||||||
\(356\) | −11.1887 | + | 4.07234i | −0.592998 | + | 0.215834i | ||||
\(357\) | 1.48919 | − | 4.09152i | 0.0788164 | − | 0.216546i | ||||
\(358\) | 7.06304 | − | 8.41740i | 0.373293 | − | 0.444874i | ||||
\(359\) | 4.15476 | − | 23.5628i | 0.219280 | − | 1.24360i | −0.654043 | − | 0.756457i | \(-0.726929\pi\) |
0.873323 | − | 0.487141i | \(-0.161960\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 12.0424 | − | 14.6963i | 0.633808 | − | 0.773490i | ||||
\(362\) | 15.0351i | 0.790226i | ||||||||
\(363\) | 2.34791 | + | 0.414000i | 0.123233 | + | 0.0217294i | ||||
\(364\) | 1.43376 | + | 1.20307i | 0.0751496 | + | 0.0630580i | ||||
\(365\) | 0 | 0 | ||||||||
\(366\) | −1.73143 | + | 0.630189i | −0.0905033 | + | 0.0329405i | ||||
\(367\) | −10.9973 | − | 13.1061i | −0.574054 | − | 0.684131i | 0.398404 | − | 0.917210i | \(-0.369564\pi\) |
−0.972458 | + | 0.233079i | \(0.925120\pi\) | |||||||
\(368\) | 3.25519 | − | 1.87939i | 0.169689 | − | 0.0979697i | ||||
\(369\) | −2.70574 | + | 4.68647i | −0.140855 | + | 0.243968i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 3.01960 | + | 17.1250i | 0.156770 | + | 0.889086i | ||||
\(372\) | −2.65366 | − | 1.53209i | −0.137586 | − | 0.0794351i | ||||
\(373\) | −3.43015 | + | 1.98040i | −0.177607 | + | 0.102541i | −0.586168 | − | 0.810190i | \(-0.699364\pi\) |
0.408561 | + | 0.912731i | \(0.366031\pi\) | |||||||
\(374\) | −23.0804 | + | 19.3667i | −1.19346 | + | 1.00143i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 3.45336 | + | 1.25692i | 0.178094 | + | 0.0648208i | ||||
\(377\) | 4.35705 | − | 5.19253i | 0.224400 | − | 0.267429i | ||||
\(378\) | 3.53666 | + | 0.623608i | 0.181906 | + | 0.0320749i | ||||
\(379\) | 27.2918 | 1.40189 | 0.700943 | − | 0.713218i | \(-0.252763\pi\) | ||||
0.700943 | + | 0.713218i | \(0.252763\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −7.64590 | −0.391711 | ||||||||
\(382\) | −4.46821 | − | 0.787866i | −0.228614 | − | 0.0403107i | ||||
\(383\) | −4.11949 | + | 4.90941i | −0.210496 | + | 0.250859i | −0.860954 | − | 0.508683i | \(-0.830133\pi\) |
0.650458 | + | 0.759542i | \(0.274577\pi\) | |||||||
\(384\) | 0.326352 | + | 0.118782i | 0.0166541 | + | 0.00606159i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 16.8498 | − | 14.1387i | 0.857633 | − | 0.719640i | ||||
\(387\) | 9.21291 | − | 5.31908i | 0.468319 | − | 0.270384i | ||||
\(388\) | −1.62760 | − | 0.939693i | −0.0826286 | − | 0.0477057i | ||||
\(389\) | 4.41653 | + | 25.0474i | 0.223927 | + | 1.26995i | 0.864726 | + | 0.502244i | \(0.167492\pi\) |
−0.640799 | + | 0.767708i | \(0.721397\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −13.3969 | + | 23.2042i | −0.677512 | + | 1.17348i | ||||
\(392\) | 3.38332 | − | 1.95336i | 0.170884 | − | 0.0986597i | ||||
\(393\) | −1.70837 | − | 2.03596i | −0.0861760 | − | 0.102701i | ||||
\(394\) | 14.9709 | − | 5.44896i | 0.754223 | − | 0.274515i | ||||
\(395\) | 0 | 0 | ||||||||
\(396\) | −9.32295 | − | 7.82288i | −0.468496 | − | 0.393115i | ||||
\(397\) | −22.2387 | − | 3.92127i | −1.11613 | − | 0.196803i | −0.414987 | − | 0.909827i | \(-0.636214\pi\) |
−0.701139 | + | 0.713024i | \(0.747325\pi\) | |||||||
\(398\) | − | 3.27631i | − | 0.164227i | ||||||
\(399\) | −0.704088 | − | 2.56769i | −0.0352485 | − | 0.128546i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 0.132636 | − | 0.752219i | 0.00662355 | − | 0.0375640i | −0.981317 | − | 0.192399i | \(-0.938373\pi\) |
0.987940 | + | 0.154835i | \(0.0494845\pi\) | |||||||
\(402\) | −2.59808 | + | 3.09627i | −0.129580 | + | 0.154428i | ||||
\(403\) | −3.21129 | + | 8.82295i | −0.159966 | + | 0.439502i | ||||
\(404\) | −2.30541 | + | 0.839100i | −0.114698 | + | 0.0417468i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 5.60132 | + | 9.70177i | 0.277989 | + | 0.481491i | ||||
\(407\) | −23.6220 | − | 13.6382i | −1.17090 | − | 0.676018i | ||||
\(408\) | −2.43804 | + | 0.429892i | −0.120701 | + | 0.0212828i | ||||
\(409\) | 2.92144 | + | 16.5683i | 0.144456 | + | 0.819249i | 0.967803 | + | 0.251711i | \(0.0809931\pi\) |
−0.823347 | + | 0.567539i | \(0.807896\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 0.996130 | + | 1.72535i | 0.0491354 | + | 0.0851051i | ||||
\(412\) | 4.77833 | + | 5.69459i | 0.235411 | + | 0.280552i | ||||
\(413\) | −4.38571 | − | 12.0496i | −0.215807 | − | 0.592924i | ||||
\(414\) | −10.1702 | − | 3.70167i | −0.499840 | − | 0.181927i | ||||
\(415\) | 0 | 0 | ||||||||
\(416\) | 0.184793 | − | 1.04801i | 0.00906020 | − | 0.0513829i | ||||
\(417\) | 6.73648i | 0.329887i | ||||||||
\(418\) | −4.66452 | + | 17.8234i | −0.228149 | + | 0.871772i | ||||
\(419\) | −35.8931 | −1.75349 | −0.876747 | − | 0.480953i | \(-0.840291\pi\) | ||||
−0.876747 | + | 0.480953i | \(0.840291\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 15.8648 | + | 13.3122i | 0.773205 | + | 0.648796i | 0.941528 | − | 0.336936i | \(-0.109391\pi\) |
−0.168323 | + | 0.985732i | \(0.553835\pi\) | |||||||
\(422\) | −3.92258 | + | 10.7772i | −0.190948 | + | 0.524625i | ||||
\(423\) | −3.61916 | − | 9.94356i | −0.175970 | − | 0.483473i | ||||
\(424\) | 7.57398 | − | 6.35532i | 0.367825 | − | 0.308642i | ||||
\(425\) | 0 | 0 | ||||||||
\(426\) | −0.490200 | + | 0.849051i | −0.0237503 | + | 0.0411367i | ||||
\(427\) | −9.18923 | + | 1.62031i | −0.444698 | + | 0.0784123i | ||||
\(428\) | 0.174362 | − | 0.0307447i | 0.00842810 | − | 0.00148610i | ||||
\(429\) | 0.781059 | − | 1.35283i | 0.0377099 | − | 0.0653155i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −14.0378 | + | 11.7791i | −0.676176 | + | 0.567379i | −0.914886 | − | 0.403712i | \(-0.867720\pi\) |
0.238710 | + | 0.971091i | \(0.423275\pi\) | |||||||
\(432\) | −0.698367 | − | 1.91875i | −0.0336002 | − | 0.0923158i | ||||
\(433\) | 1.74200 | − | 4.78611i | 0.0837153 | − | 0.230006i | −0.890771 | − | 0.454452i | \(-0.849835\pi\) |
0.974486 | + | 0.224446i | \(0.0720573\pi\) | |||||||
\(434\) | −11.8871 | − | 9.97448i | −0.570600 | − | 0.478791i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 4.24123 | 0.203118 | ||||||||
\(437\) | 1.52314 | + | 16.3131i | 0.0728617 | + | 0.780364i | ||||
\(438\) | 0.275378i | 0.0131581i | ||||||||
\(439\) | 1.79055 | − | 10.1547i | 0.0854585 | − | 0.484659i | −0.911798 | − | 0.410639i | \(-0.865306\pi\) |
0.997257 | − | 0.0740207i | \(-0.0235831\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −10.5706 | − | 3.84737i | −0.503361 | − | 0.183208i | ||||
\(442\) | 2.59451 | + | 7.12836i | 0.123408 | + | 0.339061i | ||||
\(443\) | −5.66691 | − | 6.75356i | −0.269243 | − | 0.320871i | 0.614434 | − | 0.788968i | \(-0.289384\pi\) |
−0.883677 | + | 0.468097i | \(0.844940\pi\) | |||||||
\(444\) | −1.12061 | − | 1.94096i | −0.0531820 | − | 0.0921140i | ||||
\(445\) | 0 | 0 | ||||||||
\(446\) | 1.94356 | + | 11.0225i | 0.0920304 | + | 0.521930i | ||||
\(447\) | −1.77066 | + | 0.312214i | −0.0837492 | + | 0.0147672i | ||||
\(448\) | 1.52314 | + | 0.879385i | 0.0719616 | + | 0.0415470i | ||||
\(449\) | 6.03849 | + | 10.4590i | 0.284974 | + | 0.493589i | 0.972603 | − | 0.232473i | \(-0.0746818\pi\) |
−0.687629 | + | 0.726062i | \(0.741348\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −7.46451 | + | 2.71686i | −0.351490 | + | 0.127932i | ||||
\(452\) | −3.57029 | + | 9.80928i | −0.167932 | + | 0.461390i | ||||
\(453\) | −4.95209 | + | 5.90167i | −0.232670 | + | 0.277285i | ||||
\(454\) | 0.589870 | − | 3.34532i | 0.0276840 | − | 0.157004i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −1.06418 | + | 1.07666i | −0.0498347 | + | 0.0504194i | ||||
\(457\) | 0.731429i | 0.0342148i | 0.999854 | + | 0.0171074i | \(0.00544572\pi\) | ||||
−0.999854 | + | 0.0171074i | \(0.994554\pi\) | |||||||
\(458\) | 4.19204 | + | 0.739170i | 0.195881 | + | 0.0345392i | ||||
\(459\) | 11.1500 | + | 9.35597i | 0.520438 | + | 0.436699i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −21.6878 | + | 7.89371i | −1.01010 | + | 0.367647i | −0.793472 | − | 0.608607i | \(-0.791729\pi\) |
−0.216629 | + | 0.976254i | \(0.569506\pi\) | |||||||
\(462\) | 1.65950 | + | 1.97771i | 0.0772068 | + | 0.0920115i | ||||
\(463\) | 15.6271 | − | 9.02229i | 0.726251 | − | 0.419301i | −0.0907980 | − | 0.995869i | \(-0.528942\pi\) |
0.817049 | + | 0.576568i | \(0.195608\pi\) | |||||||
\(464\) | 3.18479 | − | 5.51622i | 0.147850 | − | 0.256084i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 1.15358 | + | 6.54228i | 0.0534386 | + | 0.303065i | ||||
\(467\) | 9.50260 | + | 5.48633i | 0.439728 | + | 0.253877i | 0.703482 | − | 0.710713i | \(-0.251627\pi\) |
−0.263754 | + | 0.964590i | \(0.584961\pi\) | |||||||
\(468\) | −2.65366 | + | 1.53209i | −0.122665 | + | 0.0708208i | ||||
\(469\) | −15.6800 | + | 13.1571i | −0.724037 | + | 0.607539i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 0.921274 | + | 0.335316i | 0.0424501 | + | 0.0154506i | ||||
\(472\) | −4.68647 | + | 5.58512i | −0.215712 | + | 0.257076i | ||||
\(473\) | 15.3786 | + | 2.71167i | 0.707110 | + | 0.124683i | ||||
\(474\) | 2.32501 | 0.106791 | ||||||||
\(475\) | 0 | 0 | ||||||||
\(476\) | −12.5371 | −0.574639 | ||||||||
\(477\) | −28.0363 | − | 4.94356i | −1.28370 | − | 0.226350i | ||||
\(478\) | −10.2946 | + | 12.2686i | −0.470862 | + | 0.561151i | ||||
\(479\) | 21.0351 | + | 7.65614i | 0.961117 | + | 0.349818i | 0.774471 | − | 0.632609i | \(-0.218016\pi\) |
0.186646 | + | 0.982427i | \(0.440238\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −5.26083 | + | 4.41436i | −0.239873 | + | 0.201278i | ||||
\(482\) | 7.45129 | − | 4.30200i | 0.339397 | − | 0.195951i | ||||
\(483\) | 1.98832 | + | 1.14796i | 0.0904716 | + | 0.0522338i | ||||
\(484\) | −1.19207 | − | 6.76055i | −0.0541848 | − | 0.307298i | ||||
\(485\) | 0 | 0 | ||||||||
\(486\) | −4.43969 | + | 7.68977i | −0.201389 | + | 0.348815i | ||||
\(487\) | 32.7017 | − | 18.8803i | 1.48185 | − | 0.855549i | 0.482066 | − | 0.876135i | \(-0.339887\pi\) |
0.999788 | + | 0.0205859i | \(0.00655317\pi\) | |||||||
\(488\) | 3.41025 | + | 4.06418i | 0.154375 | + | 0.183977i | ||||
\(489\) | 0.724155 | − | 0.263571i | 0.0327474 | − | 0.0119191i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −0.958578 | − | 0.804342i | −0.0432600 | − | 0.0362995i | 0.620901 | − | 0.783889i | \(-0.286767\pi\) |
−0.664161 | + | 0.747589i | \(0.731211\pi\) | |||||||
\(492\) | −0.642788 | − | 0.113341i | −0.0289791 | − | 0.00510980i | ||||
\(493\) | 45.4047i | 2.04492i | ||||||||
\(494\) | 3.81521 | + | 2.63841i | 0.171654 | + | 0.118708i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −1.53209 | + | 8.68891i | −0.0687928 | + | 0.390143i | ||||
\(497\) | −3.19139 | + | 3.80335i | −0.143153 | + | 0.170603i | ||||
\(498\) | 0.179338 | − | 0.492726i | 0.00803631 | − | 0.0220796i | ||||
\(499\) | −8.76739 | + | 3.19107i | −0.392482 | + | 0.142852i | −0.530720 | − | 0.847547i | \(-0.678078\pi\) |
0.138238 | + | 0.990399i | \(0.455856\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −0.680045 | − | 1.17787i | −0.0303822 | − | 0.0526234i | ||||
\(502\) | −17.2421 | − | 9.95471i | −0.769551 | − | 0.444300i | ||||
\(503\) | 9.54325 | − | 1.68273i | 0.425513 | − | 0.0750294i | 0.0432089 | − | 0.999066i | \(-0.486242\pi\) |
0.382304 | + | 0.924037i | \(0.375131\pi\) | |||||||
\(504\) | −0.879385 | − | 4.98724i | −0.0391709 | − | 0.222149i | ||||
\(505\) | 0 | 0 | ||||||||
\(506\) | −7.94356 | − | 13.7587i | −0.353134 | − | 0.611647i | ||||
\(507\) | 2.64928 | + | 3.15729i | 0.117659 | + | 0.140220i | ||||
\(508\) | 7.52974 | + | 20.6878i | 0.334078 | + | 0.917872i | ||||
\(509\) | 27.2053 | + | 9.90193i | 1.20585 | + | 0.438895i | 0.865264 | − | 0.501316i | \(-0.167151\pi\) |
0.340591 | + | 0.940212i | \(0.389373\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −0.242163 | + | 1.37338i | −0.0107127 | + | 0.0607546i | ||||
\(512\) | − | 1.00000i | − | 0.0441942i | ||||||
\(513\) | 8.87089 | + | 0.723993i | 0.391659 | + | 0.0319651i | ||||
\(514\) | −26.4175 | −1.16522 | ||||||||
\(515\) | 0 | 0 | ||||||||
\(516\) | 0.982926 | + | 0.824773i | 0.0432709 | + | 0.0363086i | ||||
\(517\) | 5.31261 | − | 14.5963i | 0.233648 | − | 0.641943i | ||||
\(518\) | −3.88192 | − | 10.6655i | −0.170562 | − | 0.468615i | ||||
\(519\) | −2.00774 | + | 1.68469i | −0.0881300 | + | 0.0739499i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 1.08037 | − | 1.87126i | 0.0473321 | − | 0.0819815i | −0.841389 | − | 0.540430i | \(-0.818261\pi\) |
0.888721 | + | 0.458449i | \(0.151595\pi\) | |||||||
\(522\) | −18.0619 | + | 3.18479i | −0.790546 | + | 0.139395i | ||||
\(523\) | −14.1665 | + | 2.49794i | −0.619459 | + | 0.109227i | −0.474566 | − | 0.880220i | \(-0.657395\pi\) |
−0.144893 | + | 0.989447i | \(0.546284\pi\) | |||||||
\(524\) | −3.82635 | + | 6.62744i | −0.167155 | + | 0.289521i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −21.4047 | + | 17.9606i | −0.933288 | + | 0.783121i | ||||
\(527\) | −21.5107 | − | 59.1002i | −0.937021 | − | 2.57444i | ||||
\(528\) | 0.502055 | − | 1.37939i | 0.0218491 | − | 0.0600300i | ||||
\(529\) | 6.79607 | + | 5.70258i | 0.295481 | + | 0.247938i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 20.9932 | 0.911027 | ||||||||
\(532\) | −6.25411 | + | 4.43376i | −0.271150 | + | 0.192228i | ||||
\(533\) | 2.00000i | 0.0866296i | ||||||||
\(534\) | −0.718063 | + | 4.07234i | −0.0310736 | + | 0.176227i | ||||
\(535\) | 0 | 0 | ||||||||
\(536\) | 10.9363 | + | 3.98048i | 0.472376 | + | 0.171931i | ||||
\(537\) | −1.30520 | − | 3.58600i | −0.0563234 | − | 0.154747i | ||||
\(538\) | 9.37295 | + | 11.1702i | 0.404096 | + | 0.481583i | ||||
\(539\) | −8.25624 | − | 14.3002i | −0.355622 | − | 0.615955i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 2.24897 | + | 12.7545i | 0.0966908 | + | 0.548361i | 0.994216 | + | 0.107398i | \(0.0342518\pi\) |
−0.897525 | + | 0.440963i | \(0.854637\pi\) | |||||||
\(542\) | −17.9507 | + | 3.16519i | −0.771048 | + | 0.135957i | ||||
\(543\) | 4.52206 | + | 2.61081i | 0.194060 | + | 0.112041i | ||||
\(544\) | 3.56418 | + | 6.17334i | 0.152813 | + | 0.264680i | ||||
\(545\) | 0 | 0 | ||||||||
\(546\) | 0.610815 | − | 0.222318i | 0.0261405 | − | 0.00951435i | ||||
\(547\) | −0.478377 | + | 1.31433i | −0.0204539 | + | 0.0561967i | −0.949499 | − | 0.313769i | \(-0.898408\pi\) |
0.929045 | + | 0.369966i | \(0.120631\pi\) | |||||||
\(548\) | 3.68734 | − | 4.39440i | 0.157515 | − | 0.187719i | ||||
\(549\) | 2.65270 | − | 15.0442i | 0.113215 | − | 0.642072i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 16.0574 | + | 22.6500i | 0.684067 | + | 0.964922i | ||||
\(552\) | − | 1.30541i | − | 0.0555618i | ||||||
\(553\) | 11.5954 | + | 2.04458i | 0.493085 | + | 0.0869443i | ||||
\(554\) | 12.6159 | + | 10.5860i | 0.535997 | + | 0.449755i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 18.2271 | − | 6.63414i | 0.773003 | − | 0.281350i | ||||
\(557\) | 19.0625 | + | 22.7178i | 0.807704 | + | 0.962585i | 0.999824 | − | 0.0187869i | \(-0.00598041\pi\) |
−0.192119 | + | 0.981372i | \(0.561536\pi\) | |||||||
\(558\) | 22.0011 | − | 12.7023i | 0.931380 | − | 0.537733i | ||||
\(559\) | 1.96585 | − | 3.40496i | 0.0831467 | − | 0.144014i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 1.81702 | + | 10.3048i | 0.0767146 | + | 0.435070i | ||||
\(562\) | −6.20961 | − | 3.58512i | −0.261937 | − | 0.151229i | ||||
\(563\) | 36.4850 | − | 21.0646i | 1.53766 | − | 0.887769i | 0.538686 | − | 0.842507i | \(-0.318921\pi\) |
0.998975 | − | 0.0452621i | \(-0.0144123\pi\) | |||||||
\(564\) | 0.977711 | − | 0.820397i | 0.0411691 | − | 0.0345450i | ||||
\(565\) | 0 | 0 | ||||||||
\(566\) | −19.6741 | − | 7.16079i | −0.826965 | − | 0.300991i | ||||
\(567\) | −8.96388 | + | 10.6827i | −0.376447 | + | 0.448633i | ||||
\(568\) | 2.78006 | + | 0.490200i | 0.116649 | + | 0.0205683i | ||||
\(569\) | −5.08915 | −0.213348 | −0.106674 | − | 0.994294i | \(-0.534020\pi\) | ||||
−0.106674 | + | 0.994294i | \(0.534020\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −12.6486 | −0.529327 | −0.264663 | − | 0.964341i | \(-0.585261\pi\) | ||||
−0.264663 | + | 0.964341i | \(0.585261\pi\) | |||||||
\(572\) | −4.42961 | − | 0.781059i | −0.185211 | − | 0.0326577i | ||||
\(573\) | −1.01286 | + | 1.20708i | −0.0423129 | + | 0.0504265i | ||||
\(574\) | −3.10607 | − | 1.13052i | −0.129645 | − | 0.0471868i | ||||
\(575\) | 0 | 0 | ||||||||
\(576\) | −2.20574 | + | 1.85083i | −0.0919057 | + | 0.0771180i | ||||
\(577\) | −8.67285 | + | 5.00727i | −0.361056 | + | 0.208456i | −0.669544 | − | 0.742773i | \(-0.733510\pi\) |
0.308488 | + | 0.951228i | \(0.400177\pi\) | |||||||
\(578\) | −29.2833 | − | 16.9067i | −1.21803 | − | 0.703227i | ||||
\(579\) | −1.32651 | − | 7.52303i | −0.0551280 | − | 0.312647i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 1.32770 | − | 2.29964i | 0.0550821 | − | 0.0954050i | ||||
\(582\) | −0.565258 | + | 0.326352i | −0.0234307 | + | 0.0135277i | ||||
\(583\) | −26.8619 | − | 32.0128i | −1.11251 | − | 1.32583i | ||||
\(584\) | 0.745100 | − | 0.271194i | 0.0308325 | − | 0.0112221i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 7.26083 | + | 6.09256i | 0.299942 | + | 0.251681i | ||||
\(587\) | −4.36640 | − | 0.769915i | −0.180221 | − | 0.0317778i | 0.0828093 | − | 0.996565i | \(-0.473611\pi\) |
−0.263030 | + | 0.964788i | \(0.584722\pi\) | |||||||
\(588\) | − | 1.35679i | − | 0.0559532i | ||||||
\(589\) | −31.6313 | − | 21.8747i | −1.30335 | − | 0.901331i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 0.960799 | − | 5.44896i | 0.0395220 | − | 0.224140i | ||||
\(592\) | −4.14814 | + | 4.94356i | −0.170488 | + | 0.203179i | ||||
\(593\) | −8.21692 | + | 22.5758i | −0.337428 | + | 0.927077i | 0.648693 | + | 0.761050i | \(0.275316\pi\) |
−0.986121 | + | 0.166026i | \(0.946906\pi\) | |||||||
\(594\) | −8.10994 | + | 2.95178i | −0.332755 | + | 0.121113i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 2.58853 | + | 4.48346i | 0.106030 | + | 0.183650i | ||||
\(597\) | −0.985408 | − | 0.568926i | −0.0403301 | − | 0.0232846i | ||||
\(598\) | −3.93923 | + | 0.694593i | −0.161087 | + | 0.0284040i | ||||
\(599\) | 5.89992 | + | 33.4601i | 0.241064 | + | 1.36714i | 0.829458 | + | 0.558569i | \(0.188649\pi\) |
−0.588394 | + | 0.808574i | \(0.700240\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −8.07145 | − | 13.9802i | −0.329241 | − | 0.570263i | 0.653120 | − | 0.757254i | \(-0.273460\pi\) |
−0.982362 | + | 0.186991i | \(0.940126\pi\) | |||||||
\(602\) | 4.17680 | + | 4.97771i | 0.170233 | + | 0.202876i | ||||
\(603\) | −11.4613 | − | 31.4898i | −0.466742 | − | 1.28236i | ||||
\(604\) | 20.8452 | + | 7.58705i | 0.848181 | + | 0.308713i | ||||
\(605\) | 0 | 0 | ||||||||
\(606\) | −0.147956 | + | 0.839100i | −0.00601030 | + | 0.0340861i | ||||
\(607\) | − | 8.92221i | − | 0.362141i | −0.983470 | − | 0.181071i | \(-0.942044\pi\) | ||
0.983470 | − | 0.181071i | \(-0.0579563\pi\) | |||||||
\(608\) | 3.96118 | + | 1.81908i | 0.160647 | + | 0.0737733i | ||||
\(609\) | 3.89064 | 0.157657 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −2.99588 | − | 2.51384i | −0.121200 | − | 0.101699i | ||||
\(612\) | 7.02006 | − | 19.2875i | 0.283769 | − | 0.779649i | ||||
\(613\) | −8.83402 | − | 24.2713i | −0.356803 | − | 0.980307i | −0.980132 | − | 0.198347i | \(-0.936443\pi\) |
0.623329 | − | 0.781960i | \(-0.285780\pi\) | |||||||
\(614\) | −1.01889 | + | 0.854946i | −0.0411189 | + | 0.0345028i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 3.71688 | − | 6.43783i | 0.149757 | − | 0.259387i | ||||
\(617\) | 18.2465 | − | 3.21735i | 0.734576 | − | 0.129526i | 0.206169 | − | 0.978516i | \(-0.433900\pi\) |
0.528407 | + | 0.848991i | \(0.322789\pi\) | |||||||
\(618\) | 2.54250 | − | 0.448311i | 0.102274 | − | 0.0180337i | ||||
\(619\) | −17.6061 | + | 30.4946i | −0.707648 | + | 1.22568i | 0.258080 | + | 0.966124i | \(0.416910\pi\) |
−0.965728 | + | 0.259558i | \(0.916423\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −5.87939 | + | 4.93339i | −0.235932 | + | 0.197970i | ||||
\(622\) | 2.55774 | + | 7.02734i | 0.102556 | + | 0.281771i | ||||
\(623\) | −7.16231 | + | 19.6783i | −0.286952 | + | 0.788394i | ||||
\(624\) | −0.283119 | − | 0.237565i | −0.0113338 | − | 0.00951020i | ||||
\(625\) | 0 | 0 | ||||||||
\(626\) | 29.2986 | 1.17101 | ||||||||
\(627\) | 4.55072 | + | 4.49794i | 0.181738 | + | 0.179630i | ||||
\(628\) | − | 2.82295i | − | 0.112648i | ||||||
\(629\) | 7.98814 | − | 45.3030i | 0.318508 | − | 1.80635i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 1.73143 | + | 0.630189i | 0.0689271 | + | 0.0250874i | 0.376254 | − | 0.926517i | \(-0.377212\pi\) |
−0.307326 | + | 0.951604i | \(0.599434\pi\) | |||||||
\(632\) | −2.28969 | − | 6.29086i | −0.0910788 | − | 0.250237i | ||||
\(633\) | 2.56028 | + | 3.05122i | 0.101762 | + | 0.121275i | ||||
\(634\) | 2.80066 | + | 4.85088i | 0.111228 | + | 0.192653i | ||||
\(635\) | 0 | 0 | ||||||||
\(636\) | −0.596267 | − | 3.38160i | −0.0236435 | − | 0.134089i | ||||
\(637\) | −4.09429 | + | 0.721934i | −0.162222 | + | 0.0286041i | ||||
\(638\) | −23.3153 | − | 13.4611i | −0.923062 | − | 0.532930i | ||||
\(639\) | −4.06418 | − | 7.03936i | −0.160776 | − | 0.278473i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 4.89945 | − | 1.78325i | 0.193517 | − | 0.0704343i | −0.243444 | − | 0.969915i | \(-0.578277\pi\) |
0.436961 | + | 0.899481i | \(0.356055\pi\) | |||||||
\(642\) | 0.0210306 | − | 0.0577812i | 0.000830012 | − | 0.00228044i | ||||
\(643\) | −3.79504 | + | 4.52276i | −0.149662 | + | 0.178360i | −0.835667 | − | 0.549237i | \(-0.814918\pi\) |
0.686005 | + | 0.727597i | \(0.259363\pi\) | |||||||
\(644\) | 1.14796 | − | 6.51038i | 0.0452358 | − | 0.256545i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −30.9372 | + | 2.88857i | −1.21721 | + | 0.113649i | ||||
\(647\) | 42.6810i | 1.67796i | 0.544160 | + | 0.838981i | \(0.316848\pi\) | ||||
−0.544160 | + | 0.838981i | \(0.683152\pi\) | |||||||
\(648\) | 7.80856 | + | 1.37686i | 0.306749 | + | 0.0540881i | ||||
\(649\) | 23.6065 | + | 19.8082i | 0.926638 | + | 0.777541i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −5.06418 | + | 1.84321i | −0.198481 | + | 0.0722411i | ||||
\(652\) | −1.42631 | − | 1.69981i | −0.0558585 | − | 0.0665696i | ||||
\(653\) | 6.71929 | − | 3.87939i | 0.262946 | − | 0.151812i | −0.362732 | − | 0.931894i | \(-0.618156\pi\) |
0.625678 | + | 0.780082i | \(0.284822\pi\) | |||||||
\(654\) | 0.736482 | − | 1.27562i | 0.0287987 | − | 0.0498808i | ||||
\(655\) | 0 | 0 | ||||||||
\(656\) | 0.326352 | + | 1.85083i | 0.0127419 | + | 0.0722629i | ||||
\(657\) | −1.97724 | − | 1.14156i | −0.0771394 | − | 0.0445365i | ||||
\(658\) | 5.59753 | − | 3.23173i | 0.218214 | − | 0.125986i | ||||
\(659\) | −22.2049 | + | 18.6321i | −0.864979 | + | 0.725803i | −0.963035 | − | 0.269378i | \(-0.913182\pi\) |
0.0980561 | + | 0.995181i | \(0.468738\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 30.7374 | + | 11.1875i | 1.19555 | + | 0.435143i | 0.861668 | − | 0.507472i | \(-0.169420\pi\) |
0.333879 | + | 0.942616i | \(0.391642\pi\) | |||||||
\(662\) | 14.7687 | − | 17.6006i | 0.574000 | − | 0.684067i | ||||
\(663\) | 2.59451 | + | 0.457482i | 0.100762 | + | 0.0177671i | ||||
\(664\) | −1.50980 | −0.0585916 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 18.5817 | 0.720027 | ||||||||
\(667\) | −23.5781 | − | 4.15745i | −0.912947 | − | 0.160977i | ||||
\(668\) | −2.51730 | + | 3.00000i | −0.0973972 | + | 0.116073i | ||||
\(669\) | 3.65270 | + | 1.32948i | 0.141222 | + | 0.0514005i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 17.1780 | − | 14.4140i | 0.663149 | − | 0.556448i | ||||
\(672\) | 0.528981 | − | 0.305407i | 0.0204059 | − | 0.0117813i | ||||
\(673\) | 28.4441 | + | 16.4222i | 1.09644 | + | 0.633030i | 0.935284 | − | 0.353899i | \(-0.115144\pi\) |
0.161156 | + | 0.986929i | \(0.448478\pi\) | |||||||
\(674\) | −0.227864 | − | 1.29228i | −0.00877698 | − | 0.0497767i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 5.93376 | − | 10.2776i | 0.228222 | − | 0.395291i | ||||
\(677\) | −21.3404 | + | 12.3209i | −0.820178 | + | 0.473530i | −0.850478 | − | 0.526011i | \(-0.823687\pi\) |
0.0302996 | + | 0.999541i | \(0.490354\pi\) | |||||||
\(678\) | 2.33034 | + | 2.77719i | 0.0894961 | + | 0.106657i | ||||
\(679\) | −3.10607 | + | 1.13052i | −0.119200 | + | 0.0433852i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −0.903733 | − | 0.758322i | −0.0346311 | − | 0.0290590i | ||||
\(682\) | 36.7252 | + | 6.47565i | 1.40628 | + | 0.247966i | ||||
\(683\) | 29.9905i | 1.14755i | 0.819011 | + | 0.573777i | \(0.194523\pi\) | ||||
−0.819011 | + | 0.573777i | \(0.805477\pi\) | |||||||
\(684\) | −3.31908 | − | 12.1041i | −0.126908 | − | 0.462813i | ||||
\(685\) | 0 | 0 | ||||||||
\(686\) | 3.33099 | − | 18.8910i | 0.127178 | − | 0.721262i | ||||
\(687\) | 0.950259 | − | 1.13247i | 0.0362546 | − | 0.0432066i | ||||
\(688\) | 1.26363 | − | 3.47178i | 0.0481753 | − | 0.132360i | ||||
\(689\) | −9.88713 | + | 3.59862i | −0.376670 | + | 0.137096i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −11.2365 | − | 19.4622i | −0.427456 | − | 0.740375i | 0.569190 | − | 0.822206i | \(-0.307257\pi\) |
−0.996646 | + | 0.0818304i | \(0.973923\pi\) | |||||||
\(692\) | 6.53558 | + | 3.77332i | 0.248445 | + | 0.143440i | ||||
\(693\) | −21.0795 | + | 3.71688i | −0.800743 | + | 0.141193i | ||||
\(694\) | −0.419625 | − | 2.37981i | −0.0159288 | − | 0.0903365i | ||||
\(695\) | 0 | 0 | ||||||||
\(696\) | −1.10607 | − | 1.91576i | −0.0419254 | − | 0.0726168i | ||||
\(697\) | −8.61138 | − | 10.2626i | −0.326179 | − | 0.388725i | ||||
\(698\) | 2.90647 | + | 7.98545i | 0.110011 | + | 0.302254i | ||||
\(699\) | 2.16802 | + | 0.789096i | 0.0820022 | + | 0.0298463i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −0.837496 | + | 4.74968i | −0.0316318 | + | 0.179393i | −0.996530 | − | 0.0832300i | \(-0.973476\pi\) |
0.964899 | + | 0.262623i | \(0.0845875\pi\) | |||||||
\(702\) | 2.17293i | 0.0820121i | ||||||||
\(703\) | −12.0366 | − | 25.4243i | −0.453967 | − | 0.958894i | ||||
\(704\) | −4.22668 | −0.159299 | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −2.94175 | − | 2.46842i | −0.110714 | − | 0.0929003i | ||||
\(707\) | −1.47578 | + | 4.05468i | −0.0555026 | + | 0.152492i | ||||
\(708\) | 0.866025 | + | 2.37939i | 0.0325472 | + | 0.0894228i | ||||
\(709\) | 31.6955 | − | 26.5957i | 1.19035 | − | 0.998823i | 0.190497 | − | 0.981688i | \(-0.438990\pi\) |
0.999853 | − | 0.0171349i | \(-0.00545448\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −9.63816 | + | 16.6938i | −0.361459 | + | 0.626065i | ||||
\(712\) | 11.7258 | − | 2.06758i | 0.439444 | − | 0.0774859i | ||||
\(713\) | 32.6596 | − | 5.75877i | 1.22311 | − | 0.215668i | ||||
\(714\) | −2.17705 | + | 3.77076i | −0.0814741 | + | 0.141117i | ||||
\(715\) | 0 | 0 | ||||||||
\(716\) | −8.41740 | + | 7.06304i | −0.314573 | + | 0.263958i | ||||
\(717\) | 1.90236 | + | 5.22668i | 0.0710448 | + | 0.195194i | ||||
\(718\) | −8.18329 | + | 22.4834i | −0.305398 | + | 0.839073i | ||||
\(719\) | −17.4730 | − | 14.6616i | −0.651632 | − | 0.546784i | 0.255934 | − | 0.966694i | \(-0.417617\pi\) |
−0.907566 | + | 0.419910i | \(0.862061\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 13.0743 | 0.486912 | ||||||||
\(722\) | −14.4114 | + | 12.3819i | −0.536337 | + | 0.460807i | ||||
\(723\) | − | 2.98814i | − | 0.111130i | ||||||
\(724\) | 2.61081 | − | 14.8067i | 0.0970302 | − | 0.550285i | ||||
\(725\) | 0 | 0 | ||||||||
\(726\) | −2.24035 | − | 0.815422i | −0.0831473 | − | 0.0302631i | ||||
\(727\) | 3.08672 | + | 8.48070i | 0.114480 | + | 0.314532i | 0.983679 | − | 0.179930i | \(-0.0575872\pi\) |
−0.869199 | + | 0.494462i | \(0.835365\pi\) | |||||||
\(728\) | −1.20307 | − | 1.43376i | −0.0445887 | − | 0.0531388i | ||||
\(729\) | −10.3516 | − | 17.9296i | −0.383394 | − | 0.664058i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 4.57326 | + | 25.9363i | 0.169148 | + | 0.959287i | ||||
\(732\) | 1.81456 | − | 0.319955i | 0.0670679 | − | 0.0118259i | ||||
\(733\) | −25.0386 | − | 14.4561i | −0.924822 | − | 0.533946i | −0.0396520 | − | 0.999214i | \(-0.512625\pi\) |
−0.885170 | + | 0.465267i | \(0.845958\pi\) | |||||||
\(734\) | 8.55438 | + | 14.8166i | 0.315748 | + | 0.546891i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −3.53209 | + | 1.28558i | −0.130195 | + | 0.0473869i | ||||
\(737\) | 16.8242 | − | 46.2242i | 0.619729 | − | 1.70269i | ||||
\(738\) | 3.47843 | − | 4.14543i | 0.128043 | − | 0.152595i | ||||
\(739\) | 1.05685 | − | 5.99368i | 0.0388768 | − | 0.220481i | −0.959180 | − | 0.282797i | \(-0.908738\pi\) |
0.998056 | + | 0.0623162i | \(0.0198487\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 1.45605 | − | 0.689335i | 0.0534894 | − | 0.0253234i | ||||
\(742\) | − | 17.3892i | − | 0.638377i | ||||||
\(743\) | −28.9526 | − | 5.10513i | −1.06217 | − | 0.187289i | −0.384851 | − | 0.922979i | \(-0.625747\pi\) |
−0.677319 | + | 0.735690i | \(0.736858\pi\) | |||||||
\(744\) | 2.34730 | + | 1.96962i | 0.0860561 | + | 0.0722096i | ||||
\(745\) | 0 | 0 | ||||||||
\(746\) | 3.72193 | − | 1.35467i | 0.136270 | − | 0.0495981i | ||||
\(747\) | 2.79439 | + | 3.33022i | 0.102241 | + | 0.121846i | ||||
\(748\) | 26.0927 | − | 15.0646i | 0.954045 | − | 0.550818i | ||||
\(749\) | 0.155697 | − | 0.269675i | 0.00568903 | − | 0.00985369i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −6.67736 | − | 37.8692i | −0.243660 | − | 1.38187i | −0.823584 | − | 0.567195i | \(-0.808029\pi\) |
0.579924 | − | 0.814671i | \(-0.303082\pi\) | |||||||
\(752\) | −3.18264 | − | 1.83750i | −0.116059 | − | 0.0670066i | ||||
\(753\) | −5.98810 | + | 3.45723i | −0.218219 | + | 0.125989i | ||||
\(754\) | −5.19253 | + | 4.35705i | −0.189101 | + | 0.158675i | ||||
\(755\) | 0 | 0 | ||||||||
\(756\) | −3.37464 | − | 1.22827i | −0.122734 | − | 0.0446717i | ||||
\(757\) | −4.88603 | + | 5.82295i | −0.177586 | + | 0.211639i | −0.847493 | − | 0.530806i | \(-0.821889\pi\) |
0.669907 | + | 0.742445i | \(0.266334\pi\) | |||||||
\(758\) | −26.8772 | − | 4.73917i | −0.976223 | − | 0.172134i | ||||
\(759\) | −5.51754 | −0.200274 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −2.89992 | −0.105122 | −0.0525610 | − | 0.998618i | \(-0.516738\pi\) | ||||
−0.0525610 | + | 0.998618i | \(0.516738\pi\) | |||||||
\(762\) | 7.52974 | + | 1.32770i | 0.272774 | + | 0.0480974i | ||||
\(763\) | 4.79478 | − | 5.71419i | 0.173583 | − | 0.206868i | ||||
\(764\) | 4.26352 | + | 1.55179i | 0.154249 | + | 0.0561419i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 4.90941 | − | 4.11949i | 0.177384 | − | 0.148843i | ||||
\(767\) | 6.71929 | − | 3.87939i | 0.242620 | − | 0.140076i | ||||
\(768\) | −0.300767 | − | 0.173648i | −0.0108530 | − | 0.00626599i | ||||
\(769\) | 2.94521 | + | 16.7031i | 0.106207 | + | 0.602330i | 0.990731 | + | 0.135836i | \(0.0433720\pi\) |
−0.884524 | + | 0.466494i | \(0.845517\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −4.58734 | + | 7.94551i | −0.165209 | + | 0.286151i | ||||
\(772\) | −19.0490 | + | 10.9979i | −0.685588 | + | 0.395825i | ||||
\(773\) | −30.8451 | − | 36.7597i | −1.10942 | − | 1.32215i | −0.941751 | − | 0.336311i | \(-0.890821\pi\) |
−0.167669 | − | 0.985843i | \(-0.553624\pi\) | |||||||
\(774\) | −9.99660 | + | 3.63846i | −0.359320 | + | 0.130782i | ||||
\(775\) | 0 | 0 | ||||||||
\(776\) | 1.43969 | + | 1.20805i | 0.0516820 | + | 0.0433663i | ||||
\(777\) | −3.88192 | − | 0.684488i | −0.139263 | − | 0.0245559i | ||||
\(778\) | − | 25.4338i | − | 0.911845i | ||||||
\(779\) | −7.92514 | − | 2.07407i | −0.283948 | − | 0.0743113i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 2.07192 | − | 11.7504i | 0.0741391 | − | 0.420464i | ||||
\(782\) | 17.2228 | − | 20.5253i | 0.615885 | − | 0.733983i | ||||
\(783\) | −4.44831 | + | 12.2216i | −0.158970 | + | 0.436765i | ||||
\(784\) | −3.67112 | + | 1.33618i | −0.131111 | + | 0.0477207i | ||||
\(785\) | 0 | 0 | ||||||||
\(786\) | 1.32888 | + | 2.30168i | 0.0473995 | + | 0.0820984i | ||||
\(787\) | 43.8059 | + | 25.2913i | 1.56151 | + | 0.901538i | 0.997105 | + | 0.0760408i | \(0.0242279\pi\) |
0.564406 | + | 0.825498i | \(0.309105\pi\) | |||||||
\(788\) | −15.6897 | + | 2.76651i | −0.558921 | + | 0.0985529i | ||||
\(789\) | 1.68510 | + | 9.55666i | 0.0599910 | + | 0.340226i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 9.17974 | + | 15.8998i | 0.326394 | + | 0.565331i | ||||
\(792\) | 7.82288 | + | 9.32295i | 0.277974 | + | 0.331277i | ||||
\(793\) | −1.93101 | − | 5.30541i | −0.0685722 | − | 0.188401i | ||||
\(794\) | 21.2199 | + | 7.72340i | 0.753065 | + | 0.274093i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −0.568926 | + | 3.22654i | −0.0201650 | + | 0.114362i | ||||
\(797\) | 3.87702i | 0.137331i | 0.997640 | + | 0.0686656i | \(0.0218741\pi\) | ||||
−0.997640 | + | 0.0686656i | \(0.978126\pi\) | |||||||
\(798\) | 0.247516 | + | 2.65095i | 0.00876197 | + | 0.0938426i | ||||
\(799\) | 26.1967 | 0.926771 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −26.2631 | − | 22.0374i | −0.927961 | − | 0.778652i | ||||
\(802\) | −0.261243 | + | 0.717759i | −0.00922480 | + | 0.0253449i | ||||
\(803\) | −1.14625 | − | 3.14930i | −0.0404503 | − | 0.111136i | ||||
\(804\) | 3.09627 | − | 2.59808i | 0.109197 | − | 0.0916271i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 4.69459 | − | 8.13127i | 0.165360 | − | 0.286412i | ||||
\(807\) | 4.98724 | − | 0.879385i | 0.175559 | − | 0.0309558i | ||||
\(808\) | 2.41609 | − | 0.426022i | 0.0849978 | − | 0.0149874i | ||||
\(809\) | −8.65317 | + | 14.9877i | −0.304229 | + | 0.526941i | −0.977089 | − | 0.212829i | \(-0.931732\pi\) |
0.672860 | + | 0.739770i | \(0.265066\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 37.5330 | − | 31.4939i | 1.31796 | − | 1.10590i | 0.331230 | − | 0.943550i | \(-0.392536\pi\) |
0.986733 | − | 0.162352i | \(-0.0519080\pi\) | |||||||
\(812\) | −3.83153 | − | 10.5270i | −0.134460 | − | 0.369427i | ||||
\(813\) | −2.16512 | + | 5.94862i | −0.0759340 | + | 0.208627i | ||||
\(814\) | 20.8949 | + | 17.5329i | 0.732365 | + | 0.614527i | ||||
\(815\) | 0 | 0 | ||||||||
\(816\) | 2.47565 | 0.0866652 | ||||||||
\(817\) | 11.4537 | + | 11.3209i | 0.400715 | + | 0.396068i | ||||
\(818\) | − | 16.8239i | − | 0.588233i | ||||||
\(819\) | −0.935822 | + | 5.30731i | −0.0327003 | + | 0.185452i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 26.8307 | + | 9.76557i | 0.936398 | + | 0.340821i | 0.764742 | − | 0.644336i | \(-0.222866\pi\) |
0.171655 | + | 0.985157i | \(0.445088\pi\) | |||||||
\(822\) | −0.681393 | − | 1.87211i | −0.0237663 | − | 0.0652974i | ||||
\(823\) | 30.2535 | + | 36.0547i | 1.05457 | + | 1.25679i | 0.965401 | + | 0.260771i | \(0.0839767\pi\) |
0.0891689 | + | 0.996017i | \(0.471579\pi\) | |||||||
\(824\) | −3.71688 | − | 6.43783i | −0.129484 | − | 0.224272i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 2.22668 | + | 12.6281i | 0.0774762 | + | 0.439389i | ||||
\(827\) | 24.3929 | − | 4.30113i | 0.848224 | − | 0.149565i | 0.267392 | − | 0.963588i | \(-0.413838\pi\) |
0.580833 | + | 0.814023i | \(0.302727\pi\) | |||||||
\(828\) | 9.37295 | + | 5.41147i | 0.325732 | + | 0.188062i | ||||
\(829\) | −17.2959 | − | 29.9574i | −0.600712 | − | 1.04046i | −0.992713 | − | 0.120499i | \(-0.961551\pi\) |
0.392002 | − | 0.919965i | \(-0.371783\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 5.37464 | − | 1.95621i | 0.186444 | − | 0.0678601i | ||||
\(832\) | −0.363970 | + | 1.00000i | −0.0126184 | + | 0.0346688i | ||||
\(833\) | 17.9007 | − | 21.3332i | 0.620222 | − | 0.739152i | ||||
\(834\) | 1.16978 | − | 6.63414i | 0.0405061 | − | 0.229721i | ||||
\(835\) | 0 | 0 | ||||||||
\(836\) | 7.68866 | − | 16.7427i | 0.265918 | − | 0.579057i | ||||
\(837\) | − | 18.0155i | − | 0.622706i | ||||||
\(838\) | 35.3478 | + | 6.23277i | 1.22107 | + | 0.215308i | ||||
\(839\) | −5.15207 | − | 4.32310i | −0.177869 | − | 0.149250i | 0.549506 | − | 0.835490i | \(-0.314816\pi\) |
−0.727376 | + | 0.686239i | \(0.759260\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −10.8738 | + | 3.95773i | −0.374957 | + | 0.136473i | ||||
\(842\) | −13.3122 | − | 15.8648i | −0.458768 | − | 0.546738i | ||||
\(843\) | −2.15658 | + | 1.24510i | −0.0742764 | + | 0.0428835i | ||||
\(844\) | 5.73442 | − | 9.93231i | 0.197387 | − | 0.341884i | ||||
\(845\) | 0 | 0 | ||||||||
\(846\) | 1.83750 | + | 10.4210i | 0.0631744 | + | 0.358280i | ||||
\(847\) | −10.4561 | − | 6.03684i | −0.359276 | − | 0.207428i | ||||
\(848\) | −8.56250 | + | 4.94356i | −0.294038 | + | 0.169763i | ||||
\(849\) | −5.57011 | + | 4.67388i | −0.191166 | + | 0.160407i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 22.7939 | + | 8.29628i | 0.781363 | + | 0.284393i | ||||
\(852\) | 0.630189 | − | 0.751030i | 0.0215899 | − | 0.0257299i | ||||
\(853\) | 21.3270 | + | 3.76053i | 0.730223 | + | 0.128758i | 0.526384 | − | 0.850247i | \(-0.323547\pi\) |
0.203838 | + | 0.979005i | \(0.434658\pi\) | |||||||
\(854\) | 9.33099 | 0.319300 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −0.177052 | −0.00605150 | ||||||||
\(857\) | 37.8911 | + | 6.68123i | 1.29434 | + | 0.228226i | 0.778057 | − | 0.628194i | \(-0.216206\pi\) |
0.516279 | + | 0.856420i | \(0.327317\pi\) | |||||||
\(858\) | −1.00411 | + | 1.19665i | −0.0342798 | + | 0.0408530i | ||||
\(859\) | −15.5731 | − | 5.66815i | −0.531347 | − | 0.193395i | 0.0623925 | − | 0.998052i | \(-0.480127\pi\) |
−0.593740 | + | 0.804657i | \(0.702349\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −0.879385 | + | 0.737892i | −0.0299694 | + | 0.0251473i | ||||
\(862\) | 15.8699 | − | 9.16250i | 0.540532 | − | 0.312076i | ||||
\(863\) | 22.3937 | + | 12.9290i | 0.762291 | + | 0.440109i | 0.830118 | − | 0.557588i | \(-0.188273\pi\) |
−0.0678268 | + | 0.997697i | \(0.521607\pi\) | |||||||
\(864\) | 0.354570 | + | 2.01087i | 0.0120627 | + | 0.0684111i | ||||
\(865\) | 0 | 0 | ||||||||
\(866\) | −2.54664 | + | 4.41090i | −0.0865382 | + | 0.149889i | ||||
\(867\) | −10.1700 | + | 5.87164i | −0.345391 | + | 0.199412i | ||||
\(868\) | 9.97448 | + | 11.8871i | 0.338556 | + | 0.403475i | ||||
\(869\) | −26.5895 | + | 9.67777i | −0.901986 | + | 0.328296i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −9.48751 | − | 7.96097i | −0.321472 | − | 0.269747i | ||||
\(872\) | −4.17680 | − | 0.736482i | −0.141444 | − | 0.0249404i | ||||
\(873\) | − | 5.41147i | − | 0.183151i | ||||||
\(874\) | 1.33275 | − | 16.3298i | 0.0450809 | − | 0.552364i | ||||
\(875\) | 0 | 0 | ||||||||
\(876\) | 0.0478189 | − | 0.271194i | 0.00161565 | − | 0.00916280i | ||||
\(877\) | −32.5397 | + | 38.7793i | −1.09879 | + | 1.30948i | −0.151729 | + | 0.988422i | \(0.548484\pi\) |
−0.947058 | + | 0.321062i | \(0.895960\pi\) | |||||||
\(878\) | −3.52670 | + | 9.68954i | −0.119021 | + | 0.327006i | ||||
\(879\) | 3.09327 | − | 1.12586i | 0.104334 | − | 0.0379743i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −25.4846 | − | 44.1406i | −0.858597 | − | 1.48713i | −0.873267 | − | 0.487241i | \(-0.838003\pi\) |
0.0146701 | − | 0.999892i | \(-0.495330\pi\) | |||||||
\(882\) | 9.74189 | + | 5.62449i | 0.328027 | + | 0.189386i | ||||
\(883\) | −37.5380 | + | 6.61897i | −1.26325 | + | 0.222746i | −0.764856 | − | 0.644202i | \(-0.777190\pi\) |
−0.498399 | + | 0.866948i | \(0.666079\pi\) | |||||||
\(884\) | −1.31727 | − | 7.47059i | −0.0443045 | − | 0.251263i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 4.40807 | + | 7.63500i | 0.148092 | + | 0.256503i | ||||
\(887\) | 20.2404 | + | 24.1215i | 0.679606 | + | 0.809922i | 0.990057 | − | 0.140667i | \(-0.0449247\pi\) |
−0.310451 | + | 0.950589i | \(0.600480\pi\) | |||||||
\(888\) | 0.766546 | + | 2.10607i | 0.0257236 | + | 0.0706750i | ||||
\(889\) | 36.3851 | + | 13.2431i | 1.22032 | + | 0.444159i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 5.81954 | − | 33.0043i | 0.194962 | − | 1.10568i | ||||
\(892\) | − | 11.1925i | − | 0.374754i | ||||||
\(893\) | 13.0681 | − | 9.26445i | 0.437308 | − | 0.310023i | ||||
\(894\) | 1.79797 | 0.0601332 | ||||||||
\(895\) | 0 | 0 | ||||||||
\(896\) | −1.34730 | − | 1.13052i | −0.0450100 | − | 0.0377679i | ||||
\(897\) | −0.475129 | + | 1.30541i | −0.0158641 | + | 0.0435863i | ||||
\(898\) | −4.13057 | − | 11.3486i | −0.137839 | − | 0.378709i | ||||
\(899\) | 43.0506 | − | 36.1237i | 1.43582 | − | 1.20479i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 35.2395 | − | 61.0366i | 1.17400 | − | 2.03342i | ||||
\(902\) | 7.82288 | − | 1.37939i | 0.260473 | − | 0.0459285i | ||||
\(903\) | 2.22243 | − | 0.391874i | 0.0739577 | − | 0.0130407i | ||||
\(904\) | 5.21941 | − | 9.04028i | 0.173595 | − | 0.300675i | ||||
\(905\) | 0 | 0 | ||||||||
\(906\) | 5.90167 | − | 4.95209i | 0.196070 | − | 0.164522i | ||||
\(907\) | 3.04596 | + | 8.36871i | 0.101139 | + | 0.277878i | 0.979934 | − | 0.199322i | \(-0.0638739\pi\) |
−0.878795 | + | 0.477200i | \(0.841652\pi\) | |||||||
\(908\) | −1.16182 | + | 3.19207i | −0.0385563 | + | 0.105932i | ||||
\(909\) | −5.41147 | − | 4.54077i | −0.179487 | − | 0.150608i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −44.2959 | −1.46759 | −0.733795 | − | 0.679371i | \(-0.762253\pi\) | ||||
−0.733795 | + | 0.679371i | \(0.762253\pi\) | |||||||
\(912\) | 1.23497 | − | 0.875515i | 0.0408940 | − | 0.0289912i | ||||
\(913\) | 6.38144i | 0.211195i | ||||||||
\(914\) | 0.127011 | − | 0.720317i | 0.00420116 | − | 0.0238260i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −4.00000 | − | 1.45588i | −0.132164 | − | 0.0481037i | ||||
\(917\) | 4.60337 | + | 12.6477i | 0.152017 | + | 0.417662i | ||||
\(918\) | −9.35597 | − | 11.1500i | −0.308793 | − | 0.368005i | ||||
\(919\) | −27.3969 | − | 47.4529i | −0.903741 | − | 1.56533i | −0.822598 | − | 0.568623i | \(-0.807476\pi\) |
−0.0811431 | − | 0.996702i | \(-0.525857\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 0.0802124 | + | 0.454907i | 0.00264309 | + | 0.0149897i | ||||
\(922\) | 22.7290 | − | 4.00774i | 0.748541 | − | 0.131988i | ||||
\(923\) | −2.60164 | − | 1.50206i | −0.0856341 | − | 0.0494409i | ||||
\(924\) | −1.29086 | − | 2.23583i | −0.0424662 | − | 0.0735535i | ||||
\(925\) | 0 | 0 | ||||||||
\(926\) | −16.9564 | + | 6.17161i | −0.557220 | + | 0.202812i | ||||
\(927\) | −7.32083 | + | 20.1138i | −0.240448 | + | 0.660624i | ||||
\(928\) | −4.09429 | + | 4.87939i | −0.134402 | + | 0.160174i | ||||
\(929\) | −5.28059 | + | 29.9477i | −0.173251 | + | 0.982553i | 0.766893 | + | 0.641775i | \(0.221802\pi\) |
−0.940144 | + | 0.340778i | \(0.889309\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 1.38521 | − | 16.9726i | 0.0453984 | − | 0.556254i | ||||
\(932\) | − | 6.64321i | − | 0.217606i | ||||||
\(933\) | 2.55774 | + | 0.450999i | 0.0837367 | + | 0.0147650i | ||||
\(934\) | −8.40554 | − | 7.05309i | −0.275038 | − | 0.230784i | ||||
\(935\) | 0 | 0 | ||||||||
\(936\) | 2.87939 | − | 1.04801i | 0.0941157 | − | 0.0342553i | ||||
\(937\) | −18.9691 | − | 22.6065i | −0.619695 | − | 0.738523i | 0.361323 | − | 0.932441i | \(-0.382325\pi\) |
−0.981018 | + | 0.193917i | \(0.937881\pi\) | |||||||
\(938\) | 17.7265 | − | 10.2344i | 0.578792 | − | 0.334166i | ||||
\(939\) | 5.08765 | − | 8.81207i | 0.166029 | − | 0.287571i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −2.34905 | − | 13.3221i | −0.0765769 | − | 0.434289i | −0.998858 | − | 0.0477701i | \(-0.984789\pi\) |
0.922281 | − | 0.386519i | \(-0.126323\pi\) | |||||||
\(942\) | −0.849051 | − | 0.490200i | −0.0276636 | − | 0.0159716i | ||||
\(943\) | 6.11776 | − | 3.53209i | 0.199222 | − | 0.115021i | ||||
\(944\) | 5.58512 | − | 4.68647i | 0.181780 | − | 0.152532i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −14.6741 | − | 5.34094i | −0.477097 | − | 0.173649i | ||||
\(947\) | −5.58003 | + | 6.65002i | −0.181326 | + | 0.216096i | −0.849049 | − | 0.528313i | \(-0.822825\pi\) |
0.667723 | + | 0.744410i | \(0.267269\pi\) | |||||||
\(948\) | −2.28969 | − | 0.403733i | −0.0743655 | − | 0.0131126i | ||||
\(949\) | −0.843807 | −0.0273911 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 1.94532 | 0.0630812 | ||||||||
\(952\) | 12.3467 | + | 2.17705i | 0.400158 | + | 0.0705587i | ||||
\(953\) | −26.8930 | + | 32.0498i | −0.871150 | + | 1.03820i | 0.127773 | + | 0.991803i | \(0.459217\pi\) |
−0.998923 | + | 0.0463930i | \(0.985227\pi\) | |||||||
\(954\) | 26.7520 | + | 9.73692i | 0.866127 | + | 0.315244i | ||||
\(955\) | 0 | 0 | ||||||||
\(956\) | 12.2686 | − | 10.2946i | 0.396794 | − | 0.332950i | ||||
\(957\) | −8.09732 | + | 4.67499i | −0.261749 | + | 0.151121i | ||||
\(958\) | −19.3860 | − | 11.1925i | −0.626334 | − | 0.361614i | ||||
\(959\) | −1.75196 | − | 9.93588i | −0.0565738 | − | 0.320846i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −23.4222 | + | 40.5685i | −0.755555 | + | 1.30866i | ||||
\(962\) | 5.94745 | − | 3.43376i | 0.191754 | − | 0.110709i | ||||
\(963\) | 0.327693 | + | 0.390530i | 0.0105598 | + | 0.0125846i | ||||
\(964\) | −8.08512 | + | 2.94274i | −0.260404 | + | 0.0947794i | ||||
\(965\) | 0 | 0 | ||||||||
\(966\) | −1.75877 | − | 1.47578i | −0.0565875 | − | 0.0474826i | ||||
\(967\) | 13.8564 | + | 2.44326i | 0.445592 | + | 0.0785699i | 0.391942 | − | 0.919990i | \(-0.371803\pi\) |
0.0536500 | + | 0.998560i | \(0.482914\pi\) | |||||||
\(968\) | 6.86484i | 0.220644i | ||||||||
\(969\) | −4.50340 | + | 9.80651i | −0.144670 | + | 0.315030i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 6.49819 | − | 36.8531i | 0.208537 | − | 1.18267i | −0.683239 | − | 0.730194i | \(-0.739429\pi\) |
0.891776 | − | 0.452477i | \(-0.149459\pi\) | |||||||
\(972\) | 5.70756 | − | 6.80200i | 0.183070 | − | 0.218174i | ||||
\(973\) | 11.6679 | − | 32.0574i | 0.374057 | − | 1.02771i | ||||
\(974\) | −35.4834 | + | 12.9149i | −1.13696 | + | 0.413820i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −2.65270 | − | 4.59462i | −0.0849110 | − | 0.147070i | ||||
\(977\) | 43.0881 | + | 24.8769i | 1.37851 | + | 0.795883i | 0.991980 | − | 0.126394i | \(-0.0403403\pi\) |
0.386530 | + | 0.922277i | \(0.373674\pi\) | |||||||
\(978\) | −0.758922 | + | 0.133819i | −0.0242677 | + | 0.00427904i | ||||
\(979\) | −8.73901 | − | 49.5614i | −0.279300 | − | 1.58399i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 6.10607 | + | 10.5760i | 0.194952 | + | 0.337666i | ||||
\(982\) | 0.804342 | + | 0.958578i | 0.0256676 | + | 0.0305894i | ||||
\(983\) | 7.65430 | + | 21.0300i | 0.244134 | + | 0.670754i | 0.999874 | + | 0.0158814i | \(0.00505541\pi\) |
−0.755739 | + | 0.654872i | \(0.772722\pi\) | |||||||
\(984\) | 0.613341 | + | 0.223238i | 0.0195526 | + | 0.00711656i | ||||
\(985\) | 0 | 0 | ||||||||
\(986\) | 7.88444 | − | 44.7149i | 0.251092 | − | 1.42401i | ||||
\(987\) | − | 2.24474i | − | 0.0714508i | ||||||
\(988\) | −3.29909 | − | 3.26083i | −0.104958 | − | 0.103741i | ||||
\(989\) | −13.8871 | −0.441585 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 36.8803 | + | 30.9463i | 1.17154 | + | 0.983040i | 0.999998 | − | 0.00213601i | \(-0.000679914\pi\) |
0.171544 | + | 0.985176i | \(0.445124\pi\) | |||||||
\(992\) | 3.01763 | − | 8.29086i | 0.0958097 | − | 0.263235i | ||||
\(993\) | −2.72914 | − | 7.49825i | −0.0866066 | − | 0.237950i | ||||
\(994\) | 3.80335 | − | 3.19139i | 0.120635 | − | 0.101225i | ||||
\(995\) | 0 | 0 | ||||||||
\(996\) | −0.262174 | + | 0.454099i | −0.00830730 | + | 0.0143887i | ||||
\(997\) | −42.0039 | + | 7.40642i | −1.33028 | + | 0.234564i | −0.793196 | − | 0.608967i | \(-0.791584\pi\) |
−0.537081 | + | 0.843530i | \(0.680473\pi\) | |||||||
\(998\) | 9.18832 | − | 1.62015i | 0.290851 | − | 0.0512849i | ||||
\(999\) | 6.58853 | − | 11.4117i | 0.208452 | − | 0.361049i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))