Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [722,2,Mod(99,722)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(722, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("722.99");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 722 = 2 \cdot 19^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 722.e (of order \(9\), 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: | \(5.76519902594\) |
Analytic rank: | \(0\) |
Dimension: | \(6\) |
Coefficient field: | \(\Q(\zeta_{18})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{6} - x^{3} + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 38) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 99.1 | ||
Root | \(-0.173648 - 0.984808i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 722.99 |
Dual form | 722.2.e.l.423.1 |
$q$-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 \(\left(\mathbb{Z}/722\mathbb{Z}\right)^\times\).
\(n\) | \(363\) |
\(\chi(n)\) | \(e\left(\frac{1}{9}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.939693 | + | 0.342020i | 0.664463 | + | 0.241845i | ||||
\(3\) | −0.266044 | − | 1.50881i | −0.153601 | − | 0.871114i | −0.960054 | − | 0.279815i | \(-0.909727\pi\) |
0.806453 | − | 0.591298i | \(-0.201384\pi\) | |||||||
\(4\) | 0.766044 | + | 0.642788i | 0.383022 | + | 0.321394i | ||||
\(5\) | 1.53209 | − | 1.28558i | 0.685171 | − | 0.574927i | −0.232341 | − | 0.972634i | \(-0.574639\pi\) |
0.917512 | + | 0.397708i | \(0.130194\pi\) | |||||||
\(6\) | 0.266044 | − | 1.50881i | 0.108612 | − | 0.615970i | ||||
\(7\) | −1.34730 | + | 2.33359i | −0.509230 | + | 0.882013i | 0.490713 | + | 0.871321i | \(0.336736\pi\) |
−0.999943 | + | 0.0106911i | \(0.996597\pi\) | |||||||
\(8\) | 0.500000 | + | 0.866025i | 0.176777 | + | 0.306186i | ||||
\(9\) | 0.613341 | − | 0.223238i | 0.204447 | − | 0.0744126i | ||||
\(10\) | 1.87939 | − | 0.684040i | 0.594314 | − | 0.216313i | ||||
\(11\) | −1.59240 | − | 2.75811i | −0.480126 | − | 0.831602i | 0.519615 | − | 0.854401i | \(-0.326076\pi\) |
−0.999740 | + | 0.0227990i | \(0.992742\pi\) | |||||||
\(12\) | 0.766044 | − | 1.32683i | 0.221138 | − | 0.383022i | ||||
\(13\) | 1.00000 | − | 5.67128i | 0.277350 | − | 1.57293i | −0.454046 | − | 0.890978i | \(-0.650020\pi\) |
0.731396 | − | 0.681953i | \(-0.238869\pi\) | |||||||
\(14\) | −2.06418 | + | 1.73205i | −0.551675 | + | 0.462910i | ||||
\(15\) | −2.34730 | − | 1.96962i | −0.606069 | − | 0.508553i | ||||
\(16\) | 0.173648 | + | 0.984808i | 0.0434120 | + | 0.246202i | ||||
\(17\) | 6.12449 | + | 2.22913i | 1.48541 | + | 0.540644i | 0.952236 | − | 0.305364i | \(-0.0987783\pi\) |
0.533170 | + | 0.846008i | \(0.321001\pi\) | |||||||
\(18\) | 0.652704 | 0.153844 | ||||||||
\(19\) | 0 | 0 | ||||||||
\(20\) | 2.00000 | 0.447214 | ||||||||
\(21\) | 3.87939 | + | 1.41198i | 0.846551 | + | 0.308119i | ||||
\(22\) | −0.553033 | − | 3.13641i | −0.117907 | − | 0.668685i | ||||
\(23\) | −0.532089 | − | 0.446476i | −0.110948 | − | 0.0930966i | 0.585626 | − | 0.810581i | \(-0.300849\pi\) |
−0.696574 | + | 0.717485i | \(0.745293\pi\) | |||||||
\(24\) | 1.17365 | − | 0.984808i | 0.239570 | − | 0.201023i | ||||
\(25\) | −0.173648 | + | 0.984808i | −0.0347296 | + | 0.196962i | ||||
\(26\) | 2.87939 | − | 4.98724i | 0.564694 | − | 0.978079i | ||||
\(27\) | −2.79813 | − | 4.84651i | −0.538501 | − | 0.932711i | ||||
\(28\) | −2.53209 | + | 0.921605i | −0.478520 | + | 0.174167i | ||||
\(29\) | −2.65270 | + | 0.965505i | −0.492595 | + | 0.179290i | −0.576360 | − | 0.817196i | \(-0.695528\pi\) |
0.0837656 | + | 0.996485i | \(0.473305\pi\) | |||||||
\(30\) | −1.53209 | − | 2.65366i | −0.279720 | − | 0.484489i | ||||
\(31\) | 1.22668 | − | 2.12467i | 0.220319 | − | 0.381603i | −0.734586 | − | 0.678515i | \(-0.762624\pi\) |
0.954905 | + | 0.296913i | \(0.0959570\pi\) | |||||||
\(32\) | −0.173648 | + | 0.984808i | −0.0306970 | + | 0.174091i | ||||
\(33\) | −3.73783 | + | 3.13641i | −0.650672 | + | 0.545979i | ||||
\(34\) | 4.99273 | + | 4.18939i | 0.856245 | + | 0.718475i | ||||
\(35\) | 0.935822 | + | 5.30731i | 0.158183 | + | 0.897099i | ||||
\(36\) | 0.613341 | + | 0.223238i | 0.102223 | + | 0.0372063i | ||||
\(37\) | 4.36959 | 0.718355 | 0.359178 | − | 0.933269i | \(-0.383057\pi\) | ||||
0.359178 | + | 0.933269i | \(0.383057\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −8.82295 | −1.41280 | ||||||||
\(40\) | 1.87939 | + | 0.684040i | 0.297157 | + | 0.108156i | ||||
\(41\) | 0.0603074 | + | 0.342020i | 0.00941843 | + | 0.0534146i | 0.989155 | − | 0.146877i | \(-0.0469222\pi\) |
−0.979736 | + | 0.200292i | \(0.935811\pi\) | |||||||
\(42\) | 3.16250 | + | 2.65366i | 0.487985 | + | 0.409468i | ||||
\(43\) | 4.64543 | − | 3.89798i | 0.708421 | − | 0.594436i | −0.215734 | − | 0.976452i | \(-0.569215\pi\) |
0.924156 | + | 0.382016i | \(0.124770\pi\) | |||||||
\(44\) | 0.553033 | − | 3.13641i | 0.0833729 | − | 0.472831i | ||||
\(45\) | 0.652704 | − | 1.13052i | 0.0972993 | − | 0.168527i | ||||
\(46\) | −0.347296 | − | 0.601535i | −0.0512061 | − | 0.0886915i | ||||
\(47\) | −7.41147 | + | 2.69756i | −1.08107 | + | 0.393479i | −0.820307 | − | 0.571923i | \(-0.806198\pi\) |
−0.260767 | + | 0.965402i | \(0.583975\pi\) | |||||||
\(48\) | 1.43969 | − | 0.524005i | 0.207802 | − | 0.0756336i | ||||
\(49\) | −0.130415 | − | 0.225885i | −0.0186307 | − | 0.0322693i | ||||
\(50\) | −0.500000 | + | 0.866025i | −0.0707107 | + | 0.122474i | ||||
\(51\) | 1.73396 | − | 9.83375i | 0.242802 | − | 1.37700i | ||||
\(52\) | 4.41147 | − | 3.70167i | 0.611761 | − | 0.513329i | ||||
\(53\) | −6.29086 | − | 5.27866i | −0.864116 | − | 0.725079i | 0.0987347 | − | 0.995114i | \(-0.468520\pi\) |
−0.962851 | + | 0.270034i | \(0.912965\pi\) | |||||||
\(54\) | −0.971782 | − | 5.51125i | −0.132243 | − | 0.749986i | ||||
\(55\) | −5.98545 | − | 2.17853i | −0.807078 | − | 0.293752i | ||||
\(56\) | −2.69459 | −0.360080 | ||||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −2.82295 | −0.370671 | ||||||||
\(59\) | 0.539363 | + | 0.196312i | 0.0702191 | + | 0.0255576i | 0.376891 | − | 0.926258i | \(-0.376993\pi\) |
−0.306672 | + | 0.951815i | \(0.599215\pi\) | |||||||
\(60\) | −0.532089 | − | 3.01763i | −0.0686924 | − | 0.389574i | ||||
\(61\) | 2.24897 | + | 1.88711i | 0.287951 | + | 0.241620i | 0.775308 | − | 0.631583i | \(-0.217595\pi\) |
−0.487357 | + | 0.873203i | \(0.662039\pi\) | |||||||
\(62\) | 1.87939 | − | 1.57699i | 0.238682 | − | 0.200278i | ||||
\(63\) | −0.305407 | + | 1.73205i | −0.0384777 | + | 0.218218i | ||||
\(64\) | −0.500000 | + | 0.866025i | −0.0625000 | + | 0.108253i | ||||
\(65\) | −5.75877 | − | 9.97448i | −0.714288 | − | 1.23718i | ||||
\(66\) | −4.58512 | + | 1.66885i | −0.564390 | + | 0.205421i | ||||
\(67\) | −4.65910 | + | 1.69577i | −0.569200 | + | 0.207172i | −0.610557 | − | 0.791973i | \(-0.709054\pi\) |
0.0413568 | + | 0.999144i | \(0.486832\pi\) | |||||||
\(68\) | 3.25877 | + | 5.64436i | 0.395184 | + | 0.684479i | ||||
\(69\) | −0.532089 | + | 0.921605i | −0.0640560 | + | 0.110948i | ||||
\(70\) | −0.935822 | + | 5.30731i | −0.111852 | + | 0.634345i | ||||
\(71\) | 6.47565 | − | 5.43372i | 0.768518 | − | 0.644864i | −0.171811 | − | 0.985130i | \(-0.554962\pi\) |
0.940329 | + | 0.340266i | \(0.110517\pi\) | |||||||
\(72\) | 0.500000 | + | 0.419550i | 0.0589256 | + | 0.0494444i | ||||
\(73\) | 2.73783 | + | 15.5270i | 0.320438 | + | 1.81730i | 0.539963 | + | 0.841689i | \(0.318438\pi\) |
−0.219525 | + | 0.975607i | \(0.570451\pi\) | |||||||
\(74\) | 4.10607 | + | 1.49449i | 0.477321 | + | 0.173730i | ||||
\(75\) | 1.53209 | 0.176910 | ||||||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 8.58172 | 0.977978 | ||||||||
\(78\) | −8.29086 | − | 3.01763i | −0.938755 | − | 0.341679i | ||||
\(79\) | 1.57398 | + | 8.92647i | 0.177086 | + | 1.00431i | 0.935708 | + | 0.352775i | \(0.114762\pi\) |
−0.758622 | + | 0.651531i | \(0.774127\pi\) | |||||||
\(80\) | 1.53209 | + | 1.28558i | 0.171293 | + | 0.143732i | ||||
\(81\) | −5.06805 | + | 4.25260i | −0.563116 | + | 0.472511i | ||||
\(82\) | −0.0603074 | + | 0.342020i | −0.00665984 | + | 0.0377698i | ||||
\(83\) | −4.23783 | + | 7.34013i | −0.465162 | + | 0.805684i | −0.999209 | − | 0.0397709i | \(-0.987337\pi\) |
0.534047 | + | 0.845455i | \(0.320671\pi\) | |||||||
\(84\) | 2.06418 | + | 3.57526i | 0.225220 | + | 0.390093i | ||||
\(85\) | 12.2490 | − | 4.45826i | 1.32859 | − | 0.483566i | ||||
\(86\) | 5.69846 | − | 2.07407i | 0.614481 | − | 0.223653i | ||||
\(87\) | 2.16250 | + | 3.74557i | 0.231845 | + | 0.401567i | ||||
\(88\) | 1.59240 | − | 2.75811i | 0.169750 | − | 0.294016i | ||||
\(89\) | −1.34389 | + | 7.62159i | −0.142452 | + | 0.807887i | 0.826925 | + | 0.562312i | \(0.190088\pi\) |
−0.969377 | + | 0.245575i | \(0.921023\pi\) | |||||||
\(90\) | 1.00000 | − | 0.839100i | 0.105409 | − | 0.0884489i | ||||
\(91\) | 11.8871 | + | 9.97448i | 1.24611 | + | 1.04561i | ||||
\(92\) | −0.120615 | − | 0.684040i | −0.0125750 | − | 0.0713161i | ||||
\(93\) | −3.53209 | − | 1.28558i | −0.366261 | − | 0.133308i | ||||
\(94\) | −7.88713 | −0.813495 | ||||||||
\(95\) | 0 | 0 | ||||||||
\(96\) | 1.53209 | 0.156368 | ||||||||
\(97\) | −0.326352 | − | 0.118782i | −0.0331360 | − | 0.0120605i | 0.325399 | − | 0.945577i | \(-0.394501\pi\) |
−0.358535 | + | 0.933516i | \(0.616724\pi\) | |||||||
\(98\) | −0.0452926 | − | 0.256867i | −0.00457525 | − | 0.0259475i | ||||
\(99\) | −1.59240 | − | 1.33618i | −0.160042 | − | 0.134291i | ||||
\(100\) | −0.766044 | + | 0.642788i | −0.0766044 | + | 0.0642788i | ||||
\(101\) | −0.0641778 | + | 0.363970i | −0.00638593 | + | 0.0362164i | −0.987834 | − | 0.155511i | \(-0.950298\pi\) |
0.981448 | + | 0.191727i | \(0.0614088\pi\) | |||||||
\(102\) | 4.99273 | − | 8.64766i | 0.494354 | − | 0.856245i | ||||
\(103\) | 4.29086 | + | 7.43199i | 0.422791 | + | 0.732295i | 0.996211 | − | 0.0869659i | \(-0.0277171\pi\) |
−0.573420 | + | 0.819261i | \(0.694384\pi\) | |||||||
\(104\) | 5.41147 | − | 1.96962i | 0.530639 | − | 0.193137i | ||||
\(105\) | 7.75877 | − | 2.82396i | 0.757178 | − | 0.275590i | ||||
\(106\) | −4.10607 | − | 7.11192i | −0.398816 | − | 0.690770i | ||||
\(107\) | −5.72668 | + | 9.91890i | −0.553619 | + | 0.958897i | 0.444390 | + | 0.895833i | \(0.353420\pi\) |
−0.998010 | + | 0.0630633i | \(0.979913\pi\) | |||||||
\(108\) | 0.971782 | − | 5.51125i | 0.0935097 | − | 0.530320i | ||||
\(109\) | −6.66044 | + | 5.58878i | −0.637955 | + | 0.535308i | −0.903389 | − | 0.428821i | \(-0.858929\pi\) |
0.265435 | + | 0.964129i | \(0.414485\pi\) | |||||||
\(110\) | −4.87939 | − | 4.09429i | −0.465231 | − | 0.390375i | ||||
\(111\) | −1.16250 | − | 6.59289i | −0.110340 | − | 0.625769i | ||||
\(112\) | −2.53209 | − | 0.921605i | −0.239260 | − | 0.0870835i | ||||
\(113\) | −2.85978 | −0.269026 | −0.134513 | − | 0.990912i | \(-0.542947\pi\) | ||||
−0.134513 | + | 0.990912i | \(0.542947\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −1.38919 | −0.129542 | ||||||||
\(116\) | −2.65270 | − | 0.965505i | −0.246297 | − | 0.0896449i | ||||
\(117\) | −0.652704 | − | 3.70167i | −0.0603425 | − | 0.342219i | ||||
\(118\) | 0.439693 | + | 0.368946i | 0.0404770 | + | 0.0339642i | ||||
\(119\) | −13.4534 | + | 11.2887i | −1.23327 | + | 1.03483i | ||||
\(120\) | 0.532089 | − | 3.01763i | 0.0485728 | − | 0.275470i | ||||
\(121\) | 0.428548 | − | 0.742267i | 0.0389589 | − | 0.0674789i | ||||
\(122\) | 1.46791 | + | 2.54250i | 0.132898 | + | 0.230187i | ||||
\(123\) | 0.500000 | − | 0.181985i | 0.0450835 | − | 0.0164090i | ||||
\(124\) | 2.30541 | − | 0.839100i | 0.207032 | − | 0.0753534i | ||||
\(125\) | 6.00000 | + | 10.3923i | 0.536656 | + | 0.929516i | ||||
\(126\) | −0.879385 | + | 1.52314i | −0.0783419 | + | 0.135692i | ||||
\(127\) | −1.68954 | + | 9.58186i | −0.149922 | + | 0.850252i | 0.813360 | + | 0.581761i | \(0.197636\pi\) |
−0.963282 | + | 0.268491i | \(0.913475\pi\) | |||||||
\(128\) | −0.766044 | + | 0.642788i | −0.0677094 | + | 0.0568149i | ||||
\(129\) | −7.11721 | − | 5.97205i | −0.626636 | − | 0.525810i | ||||
\(130\) | −2.00000 | − | 11.3426i | −0.175412 | − | 0.994809i | ||||
\(131\) | 6.07785 | + | 2.21216i | 0.531024 | + | 0.193277i | 0.593596 | − | 0.804764i | \(-0.297708\pi\) |
−0.0625715 | + | 0.998040i | \(0.519930\pi\) | |||||||
\(132\) | −4.87939 | −0.424696 | ||||||||
\(133\) | 0 | 0 | ||||||||
\(134\) | −4.95811 | −0.428316 | ||||||||
\(135\) | −10.5175 | − | 3.82807i | −0.905206 | − | 0.329468i | ||||
\(136\) | 1.13176 | + | 6.41852i | 0.0970475 | + | 0.550384i | ||||
\(137\) | −8.93242 | − | 7.49519i | −0.763148 | − | 0.640357i | 0.175796 | − | 0.984427i | \(-0.443750\pi\) |
−0.938944 | + | 0.344069i | \(0.888194\pi\) | |||||||
\(138\) | −0.815207 | + | 0.684040i | −0.0693951 | + | 0.0582294i | ||||
\(139\) | −1.43494 | + | 8.13798i | −0.121710 | + | 0.690254i | 0.861497 | + | 0.507763i | \(0.169527\pi\) |
−0.983207 | + | 0.182492i | \(0.941584\pi\) | |||||||
\(140\) | −2.69459 | + | 4.66717i | −0.227735 | + | 0.394448i | ||||
\(141\) | 6.04189 | + | 10.4649i | 0.508819 | + | 0.881300i | ||||
\(142\) | 7.94356 | − | 2.89122i | 0.666609 | − | 0.242626i | ||||
\(143\) | −17.2344 | + | 6.27282i | −1.44121 | + | 0.524559i | ||||
\(144\) | 0.326352 | + | 0.565258i | 0.0271960 | + | 0.0471048i | ||||
\(145\) | −2.82295 | + | 4.88949i | −0.234433 | + | 0.406050i | ||||
\(146\) | −2.73783 | + | 15.5270i | −0.226584 | + | 1.28502i | ||||
\(147\) | −0.306123 | + | 0.256867i | −0.0252486 | + | 0.0211861i | ||||
\(148\) | 3.34730 | + | 2.80872i | 0.275146 | + | 0.230875i | ||||
\(149\) | −2.85710 | − | 16.2034i | −0.234062 | − | 1.32743i | −0.844579 | − | 0.535431i | \(-0.820149\pi\) |
0.610517 | − | 0.792003i | \(-0.290962\pi\) | |||||||
\(150\) | 1.43969 | + | 0.524005i | 0.117550 | + | 0.0427849i | ||||
\(151\) | −4.65539 | −0.378850 | −0.189425 | − | 0.981895i | \(-0.560662\pi\) | ||||
−0.189425 | + | 0.981895i | \(0.560662\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 4.25402 | 0.343917 | ||||||||
\(154\) | 8.06418 | + | 2.93512i | 0.649830 | + | 0.236519i | ||||
\(155\) | −0.852044 | − | 4.83218i | −0.0684378 | − | 0.388130i | ||||
\(156\) | −6.75877 | − | 5.67128i | −0.541135 | − | 0.454066i | ||||
\(157\) | 6.47565 | − | 5.43372i | 0.516813 | − | 0.433658i | −0.346706 | − | 0.937974i | \(-0.612700\pi\) |
0.863519 | + | 0.504316i | \(0.168255\pi\) | |||||||
\(158\) | −1.57398 | + | 8.92647i | −0.125219 | + | 0.710152i | ||||
\(159\) | −6.29086 | + | 10.8961i | −0.498898 | + | 0.864116i | ||||
\(160\) | 1.00000 | + | 1.73205i | 0.0790569 | + | 0.136931i | ||||
\(161\) | 1.75877 | − | 0.640140i | 0.138611 | − | 0.0504501i | ||||
\(162\) | −6.21688 | + | 2.26276i | −0.488444 | + | 0.177779i | ||||
\(163\) | −8.52481 | − | 14.7654i | −0.667715 | − | 1.15652i | −0.978542 | − | 0.206050i | \(-0.933939\pi\) |
0.310826 | − | 0.950467i | \(-0.399394\pi\) | |||||||
\(164\) | −0.173648 | + | 0.300767i | −0.0135596 | + | 0.0234860i | ||||
\(165\) | −1.69459 | + | 9.61051i | −0.131924 | + | 0.748177i | ||||
\(166\) | −6.49273 | + | 5.44804i | −0.503933 | + | 0.422850i | ||||
\(167\) | 2.44562 | + | 2.05212i | 0.189248 | + | 0.158798i | 0.732489 | − | 0.680779i | \(-0.238359\pi\) |
−0.543241 | + | 0.839577i | \(0.682803\pi\) | |||||||
\(168\) | 0.716881 | + | 4.06564i | 0.0553086 | + | 0.313671i | ||||
\(169\) | −18.9474 | − | 6.89630i | −1.45749 | − | 0.530485i | ||||
\(170\) | 13.0351 | 0.999745 | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 6.06418 | 0.462389 | ||||||||
\(173\) | 9.04963 | + | 3.29380i | 0.688031 | + | 0.250423i | 0.662292 | − | 0.749246i | \(-0.269584\pi\) |
0.0257389 | + | 0.999669i | \(0.491806\pi\) | |||||||
\(174\) | 0.751030 | + | 4.25930i | 0.0569354 | + | 0.322897i | ||||
\(175\) | −2.06418 | − | 1.73205i | −0.156037 | − | 0.130931i | ||||
\(176\) | 2.43969 | − | 2.04715i | 0.183899 | − | 0.154309i | ||||
\(177\) | 0.152704 | − | 0.866025i | 0.0114779 | − | 0.0650945i | ||||
\(178\) | −3.86959 | + | 6.70232i | −0.290038 | + | 0.502360i | ||||
\(179\) | 9.40807 | + | 16.2953i | 0.703192 | + | 1.21796i | 0.967340 | + | 0.253482i | \(0.0815760\pi\) |
−0.264148 | + | 0.964482i | \(0.585091\pi\) | |||||||
\(180\) | 1.22668 | − | 0.446476i | 0.0914314 | − | 0.0332783i | ||||
\(181\) | 2.61081 | − | 0.950259i | 0.194060 | − | 0.0706322i | −0.243162 | − | 0.969986i | \(-0.578185\pi\) |
0.437222 | + | 0.899354i | \(0.355962\pi\) | |||||||
\(182\) | 7.75877 | + | 13.4386i | 0.575118 | + | 0.996134i | ||||
\(183\) | 2.24897 | − | 3.89533i | 0.166249 | − | 0.287951i | ||||
\(184\) | 0.120615 | − | 0.684040i | 0.00889184 | − | 0.0504281i | ||||
\(185\) | 6.69459 | − | 5.61743i | 0.492196 | − | 0.413002i | ||||
\(186\) | −2.87939 | − | 2.41609i | −0.211127 | − | 0.177156i | ||||
\(187\) | −3.60442 | − | 20.4417i | −0.263581 | − | 1.49484i | ||||
\(188\) | −7.41147 | − | 2.69756i | −0.540537 | − | 0.196739i | ||||
\(189\) | 15.0797 | 1.09688 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 9.56212 | 0.691891 | 0.345945 | − | 0.938255i | \(-0.387558\pi\) | ||||
0.345945 | + | 0.938255i | \(0.387558\pi\) | |||||||
\(192\) | 1.43969 | + | 0.524005i | 0.103901 | + | 0.0378168i | ||||
\(193\) | 4.11216 | + | 23.3212i | 0.296000 | + | 1.67870i | 0.663111 | + | 0.748521i | \(0.269236\pi\) |
−0.367112 | + | 0.930177i | \(0.619653\pi\) | |||||||
\(194\) | −0.266044 | − | 0.223238i | −0.0191009 | − | 0.0160275i | ||||
\(195\) | −13.5175 | + | 11.3426i | −0.968011 | + | 0.812258i | ||||
\(196\) | 0.0452926 | − | 0.256867i | 0.00323519 | − | 0.0183477i | ||||
\(197\) | 11.4611 | − | 19.8512i | 0.816570 | − | 1.41434i | −0.0916253 | − | 0.995794i | \(-0.529206\pi\) |
0.908195 | − | 0.418547i | \(-0.137460\pi\) | |||||||
\(198\) | −1.03936 | − | 1.80023i | −0.0738643 | − | 0.127937i | ||||
\(199\) | −9.47565 | + | 3.44886i | −0.671711 | + | 0.244483i | −0.655284 | − | 0.755382i | \(-0.727451\pi\) |
−0.0164267 | + | 0.999865i | \(0.505229\pi\) | |||||||
\(200\) | −0.939693 | + | 0.342020i | −0.0664463 | + | 0.0241845i | ||||
\(201\) | 3.79813 | + | 6.57856i | 0.267900 | + | 0.464016i | ||||
\(202\) | −0.184793 | + | 0.320070i | −0.0130020 | + | 0.0225201i | ||||
\(203\) | 1.32089 | − | 7.49113i | 0.0927082 | − | 0.525774i | ||||
\(204\) | 7.64930 | − | 6.41852i | 0.535558 | − | 0.449387i | ||||
\(205\) | 0.532089 | + | 0.446476i | 0.0371627 | + | 0.0311832i | ||||
\(206\) | 1.49020 | + | 8.45134i | 0.103827 | + | 0.588833i | ||||
\(207\) | −0.426022 | − | 0.155059i | −0.0296106 | − | 0.0107774i | ||||
\(208\) | 5.75877 | 0.399299 | ||||||||
\(209\) | 0 | 0 | ||||||||
\(210\) | 8.25671 | 0.569767 | ||||||||
\(211\) | −21.0116 | − | 7.64760i | −1.44650 | − | 0.526483i | −0.504888 | − | 0.863185i | \(-0.668466\pi\) |
−0.941611 | + | 0.336702i | \(0.890688\pi\) | |||||||
\(212\) | −1.42602 | − | 8.08737i | −0.0979396 | − | 0.555443i | ||||
\(213\) | −9.92127 | − | 8.32494i | −0.679795 | − | 0.570415i | ||||
\(214\) | −8.77379 | + | 7.36208i | −0.599764 | + | 0.503261i | ||||
\(215\) | 2.10607 | − | 11.9441i | 0.143633 | − | 0.814581i | ||||
\(216\) | 2.79813 | − | 4.84651i | 0.190389 | − | 0.329763i | ||||
\(217\) | 3.30541 | + | 5.72513i | 0.224386 | + | 0.388647i | ||||
\(218\) | −8.17024 | + | 2.97373i | −0.553359 | + | 0.201406i | ||||
\(219\) | 22.6989 | − | 8.26173i | 1.53385 | − | 0.558276i | ||||
\(220\) | −3.18479 | − | 5.51622i | −0.214719 | − | 0.371904i | ||||
\(221\) | 18.7665 | − | 32.5046i | 1.26237 | − | 2.18649i | ||||
\(222\) | 1.16250 | − | 6.59289i | 0.0780221 | − | 0.442486i | ||||
\(223\) | 7.10607 | − | 5.96270i | 0.475857 | − | 0.399292i | −0.373068 | − | 0.927804i | \(-0.621694\pi\) |
0.848926 | + | 0.528512i | \(0.177250\pi\) | |||||||
\(224\) | −2.06418 | − | 1.73205i | −0.137919 | − | 0.115728i | ||||
\(225\) | 0.113341 | + | 0.642788i | 0.00755605 | + | 0.0428525i | ||||
\(226\) | −2.68732 | − | 0.978104i | −0.178758 | − | 0.0650625i | ||||
\(227\) | −7.73648 | −0.513488 | −0.256744 | − | 0.966479i | \(-0.582650\pi\) | ||||
−0.256744 | + | 0.966479i | \(0.582650\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −23.0351 | −1.52220 | −0.761101 | − | 0.648634i | \(-0.775341\pi\) | ||||
−0.761101 | + | 0.648634i | \(0.775341\pi\) | |||||||
\(230\) | −1.30541 | − | 0.475129i | −0.0860760 | − | 0.0313291i | ||||
\(231\) | −2.28312 | − | 12.9482i | −0.150218 | − | 0.851930i | ||||
\(232\) | −2.16250 | − | 1.81456i | −0.141975 | − | 0.119131i | ||||
\(233\) | 6.43448 | − | 5.39917i | 0.421537 | − | 0.353711i | −0.407211 | − | 0.913334i | \(-0.633499\pi\) |
0.828747 | + | 0.559623i | \(0.189054\pi\) | |||||||
\(234\) | 0.652704 | − | 3.70167i | 0.0426686 | − | 0.241985i | ||||
\(235\) | −7.88713 | + | 13.6609i | −0.514499 | + | 0.891139i | ||||
\(236\) | 0.286989 | + | 0.497079i | 0.0186814 | + | 0.0323571i | ||||
\(237\) | 13.0496 | − | 4.74968i | 0.847665 | − | 0.308525i | ||||
\(238\) | −16.5030 | + | 6.00660i | −1.06973 | + | 0.389350i | ||||
\(239\) | 7.86484 | + | 13.6223i | 0.508734 | + | 0.881153i | 0.999949 | + | 0.0101147i | \(0.00321967\pi\) |
−0.491215 | + | 0.871038i | \(0.663447\pi\) | |||||||
\(240\) | 1.53209 | − | 2.65366i | 0.0988959 | − | 0.171293i | ||||
\(241\) | −3.03936 | + | 17.2371i | −0.195783 | + | 1.11034i | 0.715517 | + | 0.698595i | \(0.246191\pi\) |
−0.911300 | + | 0.411743i | \(0.864920\pi\) | |||||||
\(242\) | 0.656574 | − | 0.550931i | 0.0422062 | − | 0.0354152i | ||||
\(243\) | −5.09627 | − | 4.27628i | −0.326926 | − | 0.274323i | ||||
\(244\) | 0.509800 | + | 2.89122i | 0.0326366 | + | 0.185091i | ||||
\(245\) | −0.490200 | − | 0.178418i | −0.0313177 | − | 0.0113987i | ||||
\(246\) | 0.532089 | 0.0339247 | ||||||||
\(247\) | 0 | 0 | ||||||||
\(248\) | 2.45336 | 0.155789 | ||||||||
\(249\) | 12.2023 | + | 4.44129i | 0.773291 | + | 0.281455i | ||||
\(250\) | 2.08378 | + | 11.8177i | 0.131790 | + | 0.747417i | ||||
\(251\) | 6.56283 | + | 5.50687i | 0.414242 | + | 0.347591i | 0.825968 | − | 0.563717i | \(-0.190629\pi\) |
−0.411725 | + | 0.911308i | \(0.635074\pi\) | |||||||
\(252\) | −1.34730 | + | 1.13052i | −0.0848717 | + | 0.0712158i | ||||
\(253\) | −0.384133 | + | 2.17853i | −0.0241502 | + | 0.136963i | ||||
\(254\) | −4.86484 | + | 8.42615i | −0.305247 | + | 0.528703i | ||||
\(255\) | −9.98545 | − | 17.2953i | −0.625313 | − | 1.08307i | ||||
\(256\) | −0.939693 | + | 0.342020i | −0.0587308 | + | 0.0213763i | ||||
\(257\) | −7.54071 | + | 2.74459i | −0.470376 | + | 0.171203i | −0.566323 | − | 0.824183i | \(-0.691634\pi\) |
0.0959465 | + | 0.995386i | \(0.469412\pi\) | |||||||
\(258\) | −4.64543 | − | 8.04612i | −0.289212 | − | 0.500930i | ||||
\(259\) | −5.88713 | + | 10.1968i | −0.365808 | + | 0.633598i | ||||
\(260\) | 2.00000 | − | 11.3426i | 0.124035 | − | 0.703436i | ||||
\(261\) | −1.41147 | + | 1.18437i | −0.0873681 | + | 0.0733105i | ||||
\(262\) | 4.95471 | + | 4.15749i | 0.306103 | + | 0.256851i | ||||
\(263\) | −1.03508 | − | 5.87024i | −0.0638259 | − | 0.361975i | −0.999947 | − | 0.0102968i | \(-0.996722\pi\) |
0.936121 | − | 0.351678i | \(-0.114389\pi\) | |||||||
\(264\) | −4.58512 | − | 1.66885i | −0.282195 | − | 0.102710i | ||||
\(265\) | −16.4243 | −1.00893 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 11.8571 | 0.725643 | ||||||||
\(268\) | −4.65910 | − | 1.69577i | −0.284600 | − | 0.103586i | ||||
\(269\) | 0.199340 | + | 1.13052i | 0.0121540 | + | 0.0689288i | 0.990282 | − | 0.139077i | \(-0.0444137\pi\) |
−0.978128 | + | 0.208006i | \(0.933303\pi\) | |||||||
\(270\) | −8.57398 | − | 7.19442i | −0.521796 | − | 0.437839i | ||||
\(271\) | 15.3628 | − | 12.8909i | 0.933222 | − | 0.783066i | −0.0431708 | − | 0.999068i | \(-0.513746\pi\) |
0.976393 | + | 0.216001i | \(0.0693015\pi\) | |||||||
\(272\) | −1.13176 | + | 6.41852i | −0.0686230 | + | 0.389180i | ||||
\(273\) | 11.8871 | − | 20.5891i | 0.719442 | − | 1.24611i | ||||
\(274\) | −5.83022 | − | 10.0982i | −0.352217 | − | 0.610057i | ||||
\(275\) | 2.99273 | − | 1.08926i | 0.180468 | − | 0.0656850i | ||||
\(276\) | −1.00000 | + | 0.363970i | −0.0601929 | + | 0.0219084i | ||||
\(277\) | −8.68004 | − | 15.0343i | −0.521533 | − | 0.903322i | −0.999686 | − | 0.0250457i | \(-0.992027\pi\) |
0.478153 | − | 0.878277i | \(-0.341306\pi\) | |||||||
\(278\) | −4.13176 | + | 7.15642i | −0.247806 | + | 0.429213i | ||||
\(279\) | 0.278066 | − | 1.57699i | 0.0166474 | − | 0.0944120i | ||||
\(280\) | −4.12836 | + | 3.46410i | −0.246716 | + | 0.207020i | ||||
\(281\) | −2.23783 | − | 1.87776i | −0.133498 | − | 0.112018i | 0.573594 | − | 0.819140i | \(-0.305549\pi\) |
−0.707092 | + | 0.707122i | \(0.749993\pi\) | |||||||
\(282\) | 2.09833 | + | 11.9002i | 0.124953 | + | 0.708647i | ||||
\(283\) | 8.90895 | + | 3.24259i | 0.529582 | + | 0.192752i | 0.592952 | − | 0.805238i | \(-0.297963\pi\) |
−0.0633697 | + | 0.997990i | \(0.520185\pi\) | |||||||
\(284\) | 8.45336 | 0.501615 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −18.3405 | −1.08450 | ||||||||
\(287\) | −0.879385 | − | 0.320070i | −0.0519085 | − | 0.0188931i | ||||
\(288\) | 0.113341 | + | 0.642788i | 0.00667867 | + | 0.0378766i | ||||
\(289\) | 19.5175 | + | 16.3772i | 1.14809 | + | 0.963362i | ||||
\(290\) | −4.32501 | + | 3.62911i | −0.253973 | + | 0.213109i | ||||
\(291\) | −0.0923963 | + | 0.524005i | −0.00541637 | + | 0.0307177i | ||||
\(292\) | −7.88326 | + | 13.6542i | −0.461333 | + | 0.799052i | ||||
\(293\) | −13.6459 | − | 23.6354i | −0.797202 | − | 1.38079i | −0.921432 | − | 0.388541i | \(-0.872979\pi\) |
0.124230 | − | 0.992253i | \(-0.460354\pi\) | |||||||
\(294\) | −0.375515 | + | 0.136676i | −0.0219005 | + | 0.00797112i | ||||
\(295\) | 1.07873 | − | 0.392624i | 0.0628058 | − | 0.0228595i | ||||
\(296\) | 2.18479 | + | 3.78417i | 0.126988 | + | 0.219951i | ||||
\(297\) | −8.91147 | + | 15.4351i | −0.517096 | + | 0.895637i | ||||
\(298\) | 2.85710 | − | 16.2034i | 0.165507 | − | 0.938638i | ||||
\(299\) | −3.06418 | + | 2.57115i | −0.177206 | + | 0.148693i | ||||
\(300\) | 1.17365 | + | 0.984808i | 0.0677606 | + | 0.0568579i | ||||
\(301\) | 2.83750 | + | 16.0922i | 0.163551 | + | 0.927541i | ||||
\(302\) | −4.37464 | − | 1.59224i | −0.251732 | − | 0.0916230i | ||||
\(303\) | 0.566237 | 0.0325295 | ||||||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 5.87164 | 0.336209 | ||||||||
\(306\) | 3.99747 | + | 1.45496i | 0.228520 | + | 0.0831746i | ||||
\(307\) | −3.70368 | − | 21.0046i | −0.211380 | − | 1.19880i | −0.887079 | − | 0.461618i | \(-0.847269\pi\) |
0.675699 | − | 0.737178i | \(-0.263842\pi\) | |||||||
\(308\) | 6.57398 | + | 5.51622i | 0.374587 | + | 0.314316i | ||||
\(309\) | 10.0719 | − | 8.45134i | 0.572971 | − | 0.480780i | ||||
\(310\) | 0.852044 | − | 4.83218i | 0.0483929 | − | 0.274450i | ||||
\(311\) | 14.6459 | − | 25.3674i | 0.830493 | − | 1.43846i | −0.0671555 | − | 0.997743i | \(-0.521392\pi\) |
0.897648 | − | 0.440713i | \(-0.145274\pi\) | |||||||
\(312\) | −4.41147 | − | 7.64090i | −0.249751 | − | 0.432581i | ||||
\(313\) | −5.22580 | + | 1.90204i | −0.295380 | + | 0.107509i | −0.485459 | − | 0.874259i | \(-0.661348\pi\) |
0.190079 | + | 0.981769i | \(0.439125\pi\) | |||||||
\(314\) | 7.94356 | − | 2.89122i | 0.448281 | − | 0.163161i | ||||
\(315\) | 1.75877 | + | 3.04628i | 0.0990955 | + | 0.171638i | ||||
\(316\) | −4.53209 | + | 7.84981i | −0.254950 | + | 0.441586i | ||||
\(317\) | −0.660444 | + | 3.74557i | −0.0370943 | + | 0.210372i | −0.997721 | − | 0.0674689i | \(-0.978508\pi\) |
0.960627 | + | 0.277841i | \(0.0896188\pi\) | |||||||
\(318\) | −9.63816 | + | 8.08737i | −0.540481 | + | 0.453517i | ||||
\(319\) | 6.88713 | + | 5.77898i | 0.385605 | + | 0.323561i | ||||
\(320\) | 0.347296 | + | 1.96962i | 0.0194145 | + | 0.110105i | ||||
\(321\) | 16.4893 | + | 6.00162i | 0.920344 | + | 0.334978i | ||||
\(322\) | 1.87164 | 0.104303 | ||||||||
\(323\) | 0 | 0 | ||||||||
\(324\) | −6.61587 | −0.367548 | ||||||||
\(325\) | 5.41147 | + | 1.96962i | 0.300175 | + | 0.109255i | ||||
\(326\) | −2.96064 | − | 16.7906i | −0.163975 | − | 0.929946i | ||||
\(327\) | 10.2044 | + | 8.56250i | 0.564304 | + | 0.473507i | ||||
\(328\) | −0.266044 | + | 0.223238i | −0.0146898 | + | 0.0123262i | ||||
\(329\) | 3.69047 | − | 20.9297i | 0.203462 | − | 1.15389i | ||||
\(330\) | −4.87939 | + | 8.45134i | −0.268601 | + | 0.465231i | ||||
\(331\) | 10.2110 | + | 17.6859i | 0.561245 | + | 0.972104i | 0.997388 | + | 0.0722272i | \(0.0230107\pi\) |
−0.436144 | + | 0.899877i | \(0.643656\pi\) | |||||||
\(332\) | −7.96451 | + | 2.89884i | −0.437109 | + | 0.159095i | ||||
\(333\) | 2.68004 | − | 0.975457i | 0.146866 | − | 0.0534547i | ||||
\(334\) | 1.59627 | + | 2.76481i | 0.0873438 | + | 0.151284i | ||||
\(335\) | −4.95811 | + | 8.58770i | −0.270891 | + | 0.469196i | ||||
\(336\) | −0.716881 | + | 4.06564i | −0.0391091 | + | 0.221799i | ||||
\(337\) | −15.5587 | + | 13.0553i | −0.847537 | + | 0.711168i | −0.959246 | − | 0.282573i | \(-0.908812\pi\) |
0.111709 | + | 0.993741i | \(0.464368\pi\) | |||||||
\(338\) | −15.4461 | − | 12.9608i | −0.840156 | − | 0.704975i | ||||
\(339\) | 0.760830 | + | 4.31488i | 0.0413226 | + | 0.234352i | ||||
\(340\) | 12.2490 | + | 4.45826i | 0.664294 | + | 0.241783i | ||||
\(341\) | −7.81345 | −0.423122 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −18.1593 | −0.980511 | ||||||||
\(344\) | 5.69846 | + | 2.07407i | 0.307241 | + | 0.111826i | ||||
\(345\) | 0.369585 | + | 2.09602i | 0.0198978 | + | 0.112846i | ||||
\(346\) | 7.37733 | + | 6.19031i | 0.396607 | + | 0.332793i | ||||
\(347\) | 3.99479 | − | 3.35202i | 0.214451 | − | 0.179946i | −0.529234 | − | 0.848476i | \(-0.677521\pi\) |
0.743685 | + | 0.668530i | \(0.233076\pi\) | |||||||
\(348\) | −0.751030 | + | 4.25930i | −0.0402594 | + | 0.228323i | ||||
\(349\) | −7.17024 | + | 12.4192i | −0.383814 | + | 0.664786i | −0.991604 | − | 0.129312i | \(-0.958723\pi\) |
0.607790 | + | 0.794098i | \(0.292056\pi\) | |||||||
\(350\) | −1.34730 | − | 2.33359i | −0.0720160 | − | 0.124735i | ||||
\(351\) | −30.2841 | + | 11.0225i | −1.61644 | + | 0.588337i | ||||
\(352\) | 2.99273 | − | 1.08926i | 0.159513 | − | 0.0580579i | ||||
\(353\) | −13.1250 | − | 22.7331i | −0.698571 | − | 1.20996i | −0.968962 | − | 0.247209i | \(-0.920486\pi\) |
0.270391 | − | 0.962750i | \(-0.412847\pi\) | |||||||
\(354\) | 0.439693 | − | 0.761570i | 0.0233694 | − | 0.0404770i | ||||
\(355\) | 2.93582 | − | 16.6499i | 0.155817 | − | 0.883684i | ||||
\(356\) | −5.92855 | + | 4.97464i | −0.314212 | + | 0.263656i | ||||
\(357\) | 20.6117 | + | 17.2953i | 1.09089 | + | 0.915365i | ||||
\(358\) | 3.26739 | + | 18.5303i | 0.172687 | + | 0.979356i | ||||
\(359\) | 31.6587 | + | 11.5228i | 1.67088 | + | 0.608151i | 0.992016 | − | 0.126111i | \(-0.0402496\pi\) |
0.678866 | + | 0.734263i | \(0.262472\pi\) | |||||||
\(360\) | 1.30541 | 0.0688010 | ||||||||
\(361\) | 0 | 0 | ||||||||
\(362\) | 2.77837 | 0.146028 | ||||||||
\(363\) | −1.23396 | − | 0.449123i | −0.0647659 | − | 0.0235728i | ||||
\(364\) | 2.69459 | + | 15.2818i | 0.141235 | + | 0.800984i | ||||
\(365\) | 24.1557 | + | 20.2690i | 1.26437 | + | 1.06093i | ||||
\(366\) | 3.44562 | − | 2.89122i | 0.180106 | − | 0.151127i | ||||
\(367\) | −1.81790 | + | 10.3098i | −0.0948934 | + | 0.538167i | 0.899887 | + | 0.436124i | \(0.143649\pi\) |
−0.994780 | + | 0.102043i | \(0.967462\pi\) | |||||||
\(368\) | 0.347296 | − | 0.601535i | 0.0181041 | − | 0.0313572i | ||||
\(369\) | 0.113341 | + | 0.196312i | 0.00590029 | + | 0.0102196i | ||||
\(370\) | 8.21213 | − | 2.98897i | 0.426929 | − | 0.155389i | ||||
\(371\) | 20.7939 | − | 7.56834i | 1.07956 | − | 0.392929i | ||||
\(372\) | −1.87939 | − | 3.25519i | −0.0974416 | − | 0.168774i | ||||
\(373\) | 11.9513 | − | 20.7003i | 0.618815 | − | 1.07182i | −0.370887 | − | 0.928678i | \(-0.620946\pi\) |
0.989702 | − | 0.143141i | \(-0.0457203\pi\) | |||||||
\(374\) | 3.60442 | − | 20.4417i | 0.186380 | − | 1.05701i | ||||
\(375\) | 14.0838 | − | 11.8177i | 0.727283 | − | 0.610263i | ||||
\(376\) | −6.04189 | − | 5.06975i | −0.311587 | − | 0.261452i | ||||
\(377\) | 2.82295 | + | 16.0097i | 0.145389 | + | 0.824543i | ||||
\(378\) | 14.1702 | + | 5.15755i | 0.728839 | + | 0.265276i | ||||
\(379\) | −17.8135 | −0.915016 | −0.457508 | − | 0.889206i | \(-0.651258\pi\) | ||||
−0.457508 | + | 0.889206i | \(0.651258\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 14.9067 | 0.763695 | ||||||||
\(382\) | 8.98545 | + | 3.27044i | 0.459736 | + | 0.167330i | ||||
\(383\) | −4.35504 | − | 24.6986i | −0.222532 | − | 1.26204i | −0.867347 | − | 0.497703i | \(-0.834177\pi\) |
0.644815 | − | 0.764338i | \(-0.276934\pi\) | |||||||
\(384\) | 1.17365 | + | 0.984808i | 0.0598925 | + | 0.0502558i | ||||
\(385\) | 13.1480 | − | 11.0324i | 0.670082 | − | 0.562265i | ||||
\(386\) | −4.11216 | + | 23.3212i | −0.209303 | + | 1.18702i | ||||
\(387\) | 1.97906 | − | 3.42782i | 0.100601 | − | 0.174246i | ||||
\(388\) | −0.173648 | − | 0.300767i | −0.00881565 | − | 0.0152692i | ||||
\(389\) | 8.85029 | − | 3.22124i | 0.448727 | − | 0.163323i | −0.107764 | − | 0.994176i | \(-0.534369\pi\) |
0.556492 | + | 0.830853i | \(0.312147\pi\) | |||||||
\(390\) | −16.5817 | + | 6.03525i | −0.839648 | + | 0.305607i | ||||
\(391\) | −2.26352 | − | 3.92053i | −0.114471 | − | 0.198270i | ||||
\(392\) | 0.130415 | − | 0.225885i | 0.00658695 | − | 0.0114089i | ||||
\(393\) | 1.72075 | − | 9.75887i | 0.0868004 | − | 0.492270i | ||||
\(394\) | 17.5594 | − | 14.7341i | 0.884631 | − | 0.742294i | ||||
\(395\) | 13.8871 | + | 11.6527i | 0.698737 | + | 0.586310i | ||||
\(396\) | −0.360967 | − | 2.04715i | −0.0181393 | − | 0.102873i | ||||
\(397\) | −6.43882 | − | 2.34354i | −0.323155 | − | 0.117619i | 0.175349 | − | 0.984506i | \(-0.443895\pi\) |
−0.498504 | + | 0.866888i | \(0.666117\pi\) | |||||||
\(398\) | −10.0838 | −0.505454 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −1.00000 | −0.0500000 | ||||||||
\(401\) | 4.46064 | + | 1.62354i | 0.222754 | + | 0.0810757i | 0.450986 | − | 0.892531i | \(-0.351072\pi\) |
−0.228232 | + | 0.973607i | \(0.573295\pi\) | |||||||
\(402\) | 1.31908 | + | 7.48086i | 0.0657896 | + | 0.373111i | ||||
\(403\) | −10.8229 | − | 9.08153i | −0.539129 | − | 0.452383i | ||||
\(404\) | −0.283119 | + | 0.237565i | −0.0140857 | + | 0.0118193i | ||||
\(405\) | −2.29767 | + | 13.0307i | −0.114172 | + | 0.647501i | ||||
\(406\) | 3.80335 | − | 6.58759i | 0.188757 | − | 0.326937i | ||||
\(407\) | −6.95811 | − | 12.0518i | −0.344901 | − | 0.597386i | ||||
\(408\) | 9.38326 | − | 3.41523i | 0.464540 | − | 0.169079i | ||||
\(409\) | 29.7815 | − | 10.8396i | 1.47260 | − | 0.535983i | 0.523796 | − | 0.851844i | \(-0.324515\pi\) |
0.948806 | + | 0.315861i | \(0.102293\pi\) | |||||||
\(410\) | 0.347296 | + | 0.601535i | 0.0171517 | + | 0.0297077i | ||||
\(411\) | −8.93242 | + | 15.4714i | −0.440604 | + | 0.763148i | ||||
\(412\) | −1.49020 | + | 8.45134i | −0.0734169 | + | 0.416368i | ||||
\(413\) | −1.18479 | + | 0.994159i | −0.0582998 | + | 0.0489194i | ||||
\(414\) | −0.347296 | − | 0.291416i | −0.0170687 | − | 0.0143223i | ||||
\(415\) | 2.94356 | + | 16.6938i | 0.144494 | + | 0.819465i | ||||
\(416\) | 5.41147 | + | 1.96962i | 0.265319 | + | 0.0965683i | ||||
\(417\) | 12.6604 | 0.619985 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −11.0101 | −0.537879 | −0.268939 | − | 0.963157i | \(-0.586673\pi\) | ||||
−0.268939 | + | 0.963157i | \(0.586673\pi\) | |||||||
\(420\) | 7.75877 | + | 2.82396i | 0.378589 | + | 0.137795i | ||||
\(421\) | 1.50475 | + | 8.53385i | 0.0733369 | + | 0.415914i | 0.999269 | + | 0.0382247i | \(0.0121703\pi\) |
−0.925932 | + | 0.377690i | \(0.876719\pi\) | |||||||
\(422\) | −17.1288 | − | 14.3728i | −0.833818 | − | 0.699656i | ||||
\(423\) | −3.94356 | + | 3.30904i | −0.191743 | + | 0.160891i | ||||
\(424\) | 1.42602 | − | 8.08737i | 0.0692538 | − | 0.392758i | ||||
\(425\) | −3.25877 | + | 5.64436i | −0.158074 | + | 0.273791i | ||||
\(426\) | −6.47565 | − | 11.2162i | −0.313746 | − | 0.543425i | ||||
\(427\) | −7.43376 | + | 2.70567i | −0.359745 | + | 0.130936i | ||||
\(428\) | −10.7626 | + | 3.91728i | −0.520232 | + | 0.189349i | ||||
\(429\) | 14.0496 | + | 24.3347i | 0.678323 | + | 1.17489i | ||||
\(430\) | 6.06418 | − | 10.5035i | 0.292441 | − | 0.506522i | ||||
\(431\) | 5.18984 | − | 29.4331i | 0.249986 | − | 1.41774i | −0.558636 | − | 0.829413i | \(-0.688675\pi\) |
0.808622 | − | 0.588328i | \(-0.200214\pi\) | |||||||
\(432\) | 4.28699 | − | 3.59721i | 0.206258 | − | 0.173071i | ||||
\(433\) | −7.09421 | − | 5.95275i | −0.340926 | − | 0.286071i | 0.456208 | − | 0.889873i | \(-0.349207\pi\) |
−0.797134 | + | 0.603802i | \(0.793652\pi\) | |||||||
\(434\) | 1.14796 | + | 6.51038i | 0.0551036 | + | 0.312508i | ||||
\(435\) | 8.12836 | + | 2.95848i | 0.389725 | + | 0.141848i | ||||
\(436\) | −8.69459 | −0.416395 | ||||||||
\(437\) | 0 | 0 | ||||||||
\(438\) | 24.1557 | 1.15420 | ||||||||
\(439\) | 19.6040 | + | 7.13528i | 0.935648 | + | 0.340548i | 0.764446 | − | 0.644688i | \(-0.223013\pi\) |
0.171202 | + | 0.985236i | \(0.445235\pi\) | |||||||
\(440\) | −1.10607 | − | 6.27282i | −0.0527297 | − | 0.299045i | ||||
\(441\) | −0.130415 | − | 0.109431i | −0.00621024 | − | 0.00521101i | ||||
\(442\) | 28.7520 | − | 24.1258i | 1.36759 | − | 1.14755i | ||||
\(443\) | 4.13769 | − | 23.4660i | 0.196588 | − | 1.11490i | −0.713552 | − | 0.700602i | \(-0.752915\pi\) |
0.910140 | − | 0.414301i | \(-0.135974\pi\) | |||||||
\(444\) | 3.34730 | − | 5.79769i | 0.158856 | − | 0.275146i | ||||
\(445\) | 7.73917 | + | 13.4046i | 0.366872 | + | 0.635441i | ||||
\(446\) | 8.71688 | − | 3.17269i | 0.412756 | − | 0.150231i | ||||
\(447\) | −23.6878 | + | 8.62165i | −1.12039 | + | 0.407790i | ||||
\(448\) | −1.34730 | − | 2.33359i | −0.0636538 | − | 0.110252i | ||||
\(449\) | −1.09105 | + | 1.88976i | −0.0514899 | + | 0.0891832i | −0.890622 | − | 0.454745i | \(-0.849730\pi\) |
0.839132 | + | 0.543928i | \(0.183064\pi\) | |||||||
\(450\) | −0.113341 | + | 0.642788i | −0.00534294 | + | 0.0303013i | ||||
\(451\) | 0.847296 | − | 0.710966i | 0.0398976 | − | 0.0334781i | ||||
\(452\) | −2.19072 | − | 1.83823i | −0.103043 | − | 0.0864633i | ||||
\(453\) | 1.23854 | + | 7.02412i | 0.0581917 | + | 0.330022i | ||||
\(454\) | −7.26991 | − | 2.64603i | −0.341194 | − | 0.124184i | ||||
\(455\) | 31.0351 | 1.45495 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 1.78106 | 0.0833144 | 0.0416572 | − | 0.999132i | \(-0.486736\pi\) | ||||
0.0416572 | + | 0.999132i | \(0.486736\pi\) | |||||||
\(458\) | −21.6459 | − | 7.87846i | −1.01145 | − | 0.368136i | ||||
\(459\) | −6.33363 | − | 35.9198i | −0.295628 | − | 1.67659i | ||||
\(460\) | −1.06418 | − | 0.892951i | −0.0496175 | − | 0.0416341i | ||||
\(461\) | −11.8648 | + | 9.95578i | −0.552601 | + | 0.463687i | −0.875821 | − | 0.482637i | \(-0.839679\pi\) |
0.323220 | + | 0.946324i | \(0.395235\pi\) | |||||||
\(462\) | 2.28312 | − | 12.9482i | 0.106220 | − | 0.602405i | ||||
\(463\) | 1.35504 | − | 2.34699i | 0.0629739 | − | 0.109074i | −0.832820 | − | 0.553545i | \(-0.813275\pi\) |
0.895793 | + | 0.444471i | \(0.146608\pi\) | |||||||
\(464\) | −1.41147 | − | 2.44474i | −0.0655260 | − | 0.113494i | ||||
\(465\) | −7.06418 | + | 2.57115i | −0.327593 | + | 0.119234i | ||||
\(466\) | 7.89306 | − | 2.87284i | 0.365639 | − | 0.133082i | ||||
\(467\) | −6.45677 | − | 11.1834i | −0.298784 | − | 0.517508i | 0.677074 | − | 0.735915i | \(-0.263248\pi\) |
−0.975858 | + | 0.218406i | \(0.929914\pi\) | |||||||
\(468\) | 1.87939 | − | 3.25519i | 0.0868746 | − | 0.150471i | ||||
\(469\) | 2.31996 | − | 13.1571i | 0.107126 | − | 0.607539i | ||||
\(470\) | −12.0838 | + | 10.1395i | −0.557383 | + | 0.467700i | ||||
\(471\) | −9.92127 | − | 8.32494i | −0.457148 | − | 0.383593i | ||||
\(472\) | 0.0996702 | + | 0.565258i | 0.00458769 | + | 0.0260181i | ||||
\(473\) | −18.1484 | − | 6.60549i | −0.834465 | − | 0.303721i | ||||
\(474\) | 13.8871 | 0.637857 | ||||||||
\(475\) | 0 | 0 | ||||||||
\(476\) | −17.5621 | −0.804958 | ||||||||
\(477\) | −5.03684 | − | 1.83326i | −0.230621 | − | 0.0839391i | ||||
\(478\) | 2.73143 | + | 15.4907i | 0.124933 | + | 0.708528i | ||||
\(479\) | −14.2121 | − | 11.9254i | −0.649369 | − | 0.544885i | 0.257510 | − | 0.966276i | \(-0.417098\pi\) |
−0.906879 | + | 0.421390i | \(0.861542\pi\) | |||||||
\(480\) | 2.34730 | − | 1.96962i | 0.107139 | − | 0.0899002i | ||||
\(481\) | 4.36959 | − | 24.7811i | 0.199236 | − | 1.12992i | ||||
\(482\) | −8.75150 | + | 15.1580i | −0.398620 | + | 0.690430i | ||||
\(483\) | −1.43376 | − | 2.48335i | −0.0652385 | − | 0.112996i | ||||
\(484\) | 0.805407 | − | 0.293144i | 0.0366094 | − | 0.0133247i | ||||
\(485\) | −0.652704 | + | 0.237565i | −0.0296377 | + | 0.0107873i | ||||
\(486\) | −3.32635 | − | 5.76141i | −0.150886 | − | 0.261343i | ||||
\(487\) | 20.5868 | − | 35.6573i | 0.932876 | − | 1.61579i | 0.154497 | − | 0.987993i | \(-0.450624\pi\) |
0.778379 | − | 0.627795i | \(-0.216042\pi\) | |||||||
\(488\) | −0.509800 | + | 2.89122i | −0.0230776 | + | 0.130879i | ||||
\(489\) | −20.0103 | + | 16.7906i | −0.904896 | + | 0.759298i | ||||
\(490\) | −0.399615 | − | 0.335316i | −0.0180527 | − | 0.0151481i | ||||
\(491\) | −3.92056 | − | 22.2346i | −0.176932 | − | 1.00343i | −0.935890 | − | 0.352293i | \(-0.885402\pi\) |
0.758957 | − | 0.651140i | \(-0.225709\pi\) | |||||||
\(492\) | 0.500000 | + | 0.181985i | 0.0225417 | + | 0.00820452i | ||||
\(493\) | −18.3987 | −0.828635 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −4.15745 | −0.186864 | ||||||||
\(496\) | 2.30541 | + | 0.839100i | 0.103516 | + | 0.0376767i | ||||
\(497\) | 3.95542 | + | 22.4323i | 0.177425 | + | 1.00623i | ||||
\(498\) | 9.94743 | + | 8.34689i | 0.445755 | + | 0.374033i | ||||
\(499\) | −22.4670 | + | 18.8521i | −1.00576 | + | 0.843935i | −0.987772 | − | 0.155903i | \(-0.950171\pi\) |
−0.0179902 | + | 0.999838i | \(0.505727\pi\) | |||||||
\(500\) | −2.08378 | + | 11.8177i | −0.0931894 | + | 0.528503i | ||||
\(501\) | 2.44562 | − | 4.23594i | 0.109262 | − | 0.189248i | ||||
\(502\) | 4.28359 | + | 7.41939i | 0.191186 | + | 0.331143i | ||||
\(503\) | −31.5895 | + | 11.4976i | −1.40850 | + | 0.512654i | −0.930691 | − | 0.365807i | \(-0.880793\pi\) |
−0.477814 | + | 0.878461i | \(0.658571\pi\) | |||||||
\(504\) | −1.65270 | + | 0.601535i | −0.0736173 | + | 0.0267945i | ||||
\(505\) | 0.369585 | + | 0.640140i | 0.0164463 | + | 0.0284859i | ||||
\(506\) | −1.10607 | + | 1.91576i | −0.0491707 | + | 0.0851661i | ||||
\(507\) | −5.36437 | + | 30.4229i | −0.238240 | + | 1.35113i | ||||
\(508\) | −7.45336 | + | 6.25411i | −0.330690 | + | 0.277481i | ||||
\(509\) | −3.08647 | − | 2.58985i | −0.136805 | − | 0.114793i | 0.571817 | − | 0.820381i | \(-0.306239\pi\) |
−0.708623 | + | 0.705588i | \(0.750683\pi\) | |||||||
\(510\) | −3.46791 | − | 19.6675i | −0.153562 | − | 0.870892i | ||||
\(511\) | −39.9222 | − | 14.5305i | −1.76605 | − | 0.642791i | ||||
\(512\) | −1.00000 | −0.0441942 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −8.02465 | −0.353952 | ||||||||
\(515\) | 16.1284 | + | 5.87024i | 0.710700 | + | 0.258674i | ||||
\(516\) | −1.61334 | − | 9.14971i | −0.0710234 | − | 0.402794i | ||||
\(517\) | 19.2422 | + | 16.1461i | 0.846269 | + | 0.710104i | ||||
\(518\) | −9.01960 | + | 7.56834i | −0.396298 | + | 0.332534i | ||||
\(519\) | 2.56212 | − | 14.5305i | 0.112465 | − | 0.637818i | ||||
\(520\) | 5.75877 | − | 9.97448i | 0.252539 | − | 0.437410i | ||||
\(521\) | 2.49479 | + | 4.32110i | 0.109299 | + | 0.189311i | 0.915486 | − | 0.402349i | \(-0.131806\pi\) |
−0.806188 | + | 0.591660i | \(0.798473\pi\) | |||||||
\(522\) | −1.73143 | + | 0.630189i | −0.0757826 | + | 0.0275826i | ||||
\(523\) | −24.9513 | + | 9.08153i | −1.09104 | + | 0.397108i | −0.824008 | − | 0.566579i | \(-0.808267\pi\) |
−0.267037 | + | 0.963686i | \(0.586044\pi\) | |||||||
\(524\) | 3.23396 | + | 5.60138i | 0.141276 | + | 0.244697i | ||||
\(525\) | −2.06418 | + | 3.57526i | −0.0900881 | + | 0.156037i | ||||
\(526\) | 1.03508 | − | 5.87024i | 0.0451317 | − | 0.255955i | ||||
\(527\) | 12.2490 | − | 10.2781i | 0.533574 | − | 0.447721i | ||||
\(528\) | −3.73783 | − | 3.13641i | −0.162668 | − | 0.136495i | ||||
\(529\) | −3.91013 | − | 22.1754i | −0.170006 | − | 0.964150i | ||||
\(530\) | −15.4338 | − | 5.61743i | −0.670400 | − | 0.244006i | ||||
\(531\) | 0.374638 | 0.0162579 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 2.00000 | 0.0866296 | ||||||||
\(534\) | 11.1420 | + | 4.05537i | 0.482163 | + | 0.175493i | ||||
\(535\) | 3.97771 | + | 22.5587i | 0.171971 | + | 0.975299i | ||||
\(536\) | −3.79813 | − | 3.18701i | −0.164054 | − | 0.137658i | ||||
\(537\) | 22.0835 | − | 18.5303i | 0.952975 | − | 0.799641i | ||||
\(538\) | −0.199340 | + | 1.13052i | −0.00859418 | + | 0.0487400i | ||||
\(539\) | −0.415345 | + | 0.719398i | −0.0178902 | + | 0.0309867i | ||||
\(540\) | −5.59627 | − | 9.69302i | −0.240825 | − | 0.417121i | ||||
\(541\) | 11.2490 | − | 4.09429i | 0.483631 | − | 0.176027i | −0.0886862 | − | 0.996060i | \(-0.528267\pi\) |
0.572317 | + | 0.820032i | \(0.306045\pi\) | |||||||
\(542\) | 18.8452 | − | 6.85911i | 0.809472 | − | 0.294624i | ||||
\(543\) | −2.12836 | − | 3.68642i | −0.0913365 | − | 0.158199i | ||||
\(544\) | −3.25877 | + | 5.64436i | −0.139719 | + | 0.242000i | ||||
\(545\) | −3.01960 | + | 17.1250i | −0.129345 | + | 0.733555i | ||||
\(546\) | 18.2121 | − | 15.2818i | 0.779407 | − | 0.654000i | ||||
\(547\) | −2.44878 | − | 2.05477i | −0.104702 | − | 0.0878556i | 0.588934 | − | 0.808181i | \(-0.299548\pi\) |
−0.693636 | + | 0.720326i | \(0.743992\pi\) | |||||||
\(548\) | −2.02481 | − | 11.4833i | −0.0864958 | − | 0.490542i | ||||
\(549\) | 1.80066 | + | 0.655386i | 0.0768503 | + | 0.0279712i | ||||
\(550\) | 3.18479 | 0.135800 | ||||||||
\(551\) | 0 | 0 | ||||||||
\(552\) | −1.06418 | −0.0452944 | ||||||||
\(553\) | −22.9513 | − | 8.35359i | −0.975989 | − | 0.355231i | ||||
\(554\) | −3.01455 | − | 17.0964i | −0.128076 | − | 0.726354i | ||||
\(555\) | −10.2567 | − | 8.60640i | −0.435373 | − | 0.365321i | ||||
\(556\) | −6.33022 | + | 5.31169i | −0.268461 | + | 0.225266i | ||||
\(557\) | −4.16344 | + | 23.6120i | −0.176411 | + | 1.00047i | 0.760093 | + | 0.649815i | \(0.225154\pi\) |
−0.936503 | + | 0.350659i | \(0.885958\pi\) | |||||||
\(558\) | 0.800660 | − | 1.38678i | 0.0338946 | − | 0.0587072i | ||||
\(559\) | −17.4611 | − | 30.2435i | −0.738526 | − | 1.27916i | ||||
\(560\) | −5.06418 | + | 1.84321i | −0.214001 | + | 0.0778898i | ||||
\(561\) | −29.8837 | + | 10.8768i | −1.26169 | + | 0.459218i | ||||
\(562\) | −1.46064 | − | 2.52990i | −0.0616133 | − | 0.106717i | ||||
\(563\) | −4.37851 | + | 7.58380i | −0.184532 | + | 0.319619i | −0.943419 | − | 0.331604i | \(-0.892410\pi\) |
0.758887 | + | 0.651223i | \(0.225744\pi\) | |||||||
\(564\) | −2.09833 | + | 11.9002i | −0.0883555 | + | 0.501089i | ||||
\(565\) | −4.38144 | + | 3.67647i | −0.184329 | + | 0.154670i | ||||
\(566\) | 7.26264 | + | 6.09408i | 0.305272 | + | 0.256153i | ||||
\(567\) | −3.09564 | − | 17.5562i | −0.130005 | − | 0.737293i | ||||
\(568\) | 7.94356 | + | 2.89122i | 0.333304 | + | 0.121313i | ||||
\(569\) | 36.4201 | 1.52681 | 0.763406 | − | 0.645919i | \(-0.223526\pi\) | ||||
0.763406 | + | 0.645919i | \(0.223526\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 34.2131 | 1.43177 | 0.715886 | − | 0.698217i | \(-0.246023\pi\) | ||||
0.715886 | + | 0.698217i | \(0.246023\pi\) | |||||||
\(572\) | −17.2344 | − | 6.27282i | −0.720607 | − | 0.262280i | ||||
\(573\) | −2.54395 | − | 14.4274i | −0.106275 | − | 0.602715i | ||||
\(574\) | −0.716881 | − | 0.601535i | −0.0299221 | − | 0.0251076i | ||||
\(575\) | 0.532089 | − | 0.446476i | 0.0221896 | − | 0.0186193i | ||||
\(576\) | −0.113341 | + | 0.642788i | −0.00472253 | + | 0.0267828i | ||||
\(577\) | −7.75490 | + | 13.4319i | −0.322841 | + | 0.559177i | −0.981073 | − | 0.193638i | \(-0.937971\pi\) |
0.658232 | + | 0.752815i | \(0.271304\pi\) | |||||||
\(578\) | 12.7392 | + | 22.0649i | 0.529880 | + | 0.917778i | ||||
\(579\) | 34.0933 | − | 12.4090i | 1.41687 | − | 0.515699i | ||||
\(580\) | −5.30541 | + | 1.93101i | −0.220295 | + | 0.0801808i | ||||
\(581\) | −11.4192 | − | 19.7787i | −0.473749 | − | 0.820557i | ||||
\(582\) | −0.266044 | + | 0.460802i | −0.0110279 | + | 0.0191009i | ||||
\(583\) | −4.54158 | + | 25.7566i | −0.188093 | + | 1.06673i | ||||
\(584\) | −12.0778 | + | 10.1345i | −0.499785 | + | 0.419369i | ||||
\(585\) | −5.75877 | − | 4.83218i | −0.238096 | − | 0.199786i | ||||
\(586\) | −4.73917 | − | 26.8772i | −0.195773 | − | 1.11029i | ||||
\(587\) | 10.8833 | + | 3.96118i | 0.449200 | + | 0.163495i | 0.556707 | − | 0.830709i | \(-0.312065\pi\) |
−0.107507 | + | 0.994204i | \(0.534287\pi\) | |||||||
\(588\) | −0.399615 | −0.0164798 | ||||||||
\(589\) | 0 | 0 | ||||||||
\(590\) | 1.14796 | 0.0472606 | ||||||||
\(591\) | −33.0009 | − | 12.0114i | −1.35748 | − | 0.494081i | ||||
\(592\) | 0.758770 | + | 4.30320i | 0.0311853 | + | 0.176860i | ||||
\(593\) | −35.5390 | − | 29.8207i | −1.45941 | − | 1.22459i | −0.925334 | − | 0.379154i | \(-0.876215\pi\) |
−0.534076 | − | 0.845436i | \(-0.679340\pi\) | |||||||
\(594\) | −13.6532 | + | 11.4564i | −0.560196 | + | 0.470061i | ||||
\(595\) | −6.09926 | + | 34.5906i | −0.250045 | + | 1.41808i | ||||
\(596\) | 8.22668 | − | 14.2490i | 0.336978 | − | 0.583663i | ||||
\(597\) | 7.72462 | + | 13.3794i | 0.316148 | + | 0.547584i | ||||
\(598\) | −3.75877 | + | 1.36808i | −0.153708 | + | 0.0559450i | ||||
\(599\) | 24.0865 | − | 8.76676i | 0.984146 | − | 0.358200i | 0.200695 | − | 0.979654i | \(-0.435680\pi\) |
0.783451 | + | 0.621454i | \(0.213458\pi\) | |||||||
\(600\) | 0.766044 | + | 1.32683i | 0.0312736 | + | 0.0541675i | ||||
\(601\) | 3.99613 | − | 6.92150i | 0.163006 | − | 0.282334i | −0.772940 | − | 0.634480i | \(-0.781214\pi\) |
0.935945 | + | 0.352146i | \(0.114548\pi\) | |||||||
\(602\) | −2.83750 | + | 16.0922i | −0.115648 | + | 0.655871i | ||||
\(603\) | −2.47906 | + | 2.08017i | −0.100955 | + | 0.0847113i | ||||
\(604\) | −3.56624 | − | 2.99243i | −0.145108 | − | 0.121760i | ||||
\(605\) | −0.297667 | − | 1.68815i | −0.0121019 | − | 0.0686331i | ||||
\(606\) | 0.532089 | + | 0.193665i | 0.0216146 | + | 0.00786708i | ||||
\(607\) | 26.9905 | 1.09551 | 0.547755 | − | 0.836639i | \(-0.315482\pi\) | ||||
0.547755 | + | 0.836639i | \(0.315482\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −11.6541 | −0.472249 | ||||||||
\(610\) | 5.51754 | + | 2.00822i | 0.223399 | + | 0.0813105i | ||||
\(611\) | 7.88713 | + | 44.7301i | 0.319079 | + | 1.80959i | ||||
\(612\) | 3.25877 | + | 2.73443i | 0.131728 | + | 0.110533i | ||||
\(613\) | −10.9172 | + | 9.16058i | −0.440940 | + | 0.369992i | −0.836061 | − | 0.548637i | \(-0.815147\pi\) |
0.395121 | + | 0.918629i | \(0.370703\pi\) | |||||||
\(614\) | 3.70368 | − | 21.0046i | 0.149468 | − | 0.847677i | ||||
\(615\) | 0.532089 | − | 0.921605i | 0.0214559 | − | 0.0371627i | ||||
\(616\) | 4.29086 | + | 7.43199i | 0.172884 | + | 0.299443i | ||||
\(617\) | 28.7173 | − | 10.4523i | 1.15612 | − | 0.420792i | 0.308408 | − | 0.951254i | \(-0.400204\pi\) |
0.847709 | + | 0.530462i | \(0.177982\pi\) | |||||||
\(618\) | 12.3550 | − | 4.49687i | 0.496992 | − | 0.180890i | ||||
\(619\) | 14.3375 | + | 24.8333i | 0.576273 | + | 0.998133i | 0.995902 | + | 0.0904380i | \(0.0288267\pi\) |
−0.419629 | + | 0.907695i | \(0.637840\pi\) | |||||||
\(620\) | 2.45336 | − | 4.24935i | 0.0985294 | − | 0.170658i | ||||
\(621\) | −0.674992 | + | 3.82807i | −0.0270865 | + | 0.153615i | ||||
\(622\) | 22.4388 | − | 18.8284i | 0.899715 | − | 0.754950i | ||||
\(623\) | −15.9750 | − | 13.4046i | −0.640026 | − | 0.537045i | ||||
\(624\) | −1.53209 | − | 8.68891i | −0.0613326 | − | 0.347835i | ||||
\(625\) | 17.8542 | + | 6.49838i | 0.714166 | + | 0.259935i | ||||
\(626\) | −5.56118 | −0.222270 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 8.45336 | 0.337326 | ||||||||
\(629\) | 26.7615 | + | 9.74037i | 1.06705 | + | 0.388374i | ||||
\(630\) | 0.610815 | + | 3.46410i | 0.0243354 | + | 0.138013i | ||||
\(631\) | −3.44562 | − | 2.89122i | −0.137168 | − | 0.115098i | 0.571622 | − | 0.820517i | \(-0.306314\pi\) |
−0.708790 | + | 0.705419i | \(0.750759\pi\) | |||||||
\(632\) | −6.94356 | + | 5.82634i | −0.276200 | + | 0.231759i | ||||
\(633\) | −5.94878 | + | 33.7372i | −0.236443 | + | 1.34093i | ||||
\(634\) | −1.90167 | + | 3.29380i | −0.0755251 | + | 0.130813i | ||||
\(635\) | 9.72967 | + | 16.8523i | 0.386110 | + | 0.668763i | ||||
\(636\) | −11.8229 | + | 4.30320i | −0.468810 | + | 0.170633i | ||||
\(637\) | −1.41147 | + | 0.513735i | −0.0559246 | + | 0.0203549i | ||||
\(638\) | 4.49525 | + | 7.78601i | 0.177969 | + | 0.308251i | ||||
\(639\) | 2.75877 | − | 4.77833i | 0.109135 | − | 0.189028i | ||||
\(640\) | −0.347296 | + | 1.96962i | −0.0137281 | + | 0.0778559i | ||||
\(641\) | 8.89234 | − | 7.46156i | 0.351226 | − | 0.294714i | −0.450056 | − | 0.893000i | \(-0.648596\pi\) |
0.801282 | + | 0.598286i | \(0.204152\pi\) | |||||||
\(642\) | 13.4422 | + | 11.2794i | 0.530522 | + | 0.445161i | ||||
\(643\) | 4.52276 | + | 25.6498i | 0.178360 | + | 1.01153i | 0.934194 | + | 0.356766i | \(0.116121\pi\) |
−0.755834 | + | 0.654764i | \(0.772768\pi\) | |||||||
\(644\) | 1.75877 | + | 0.640140i | 0.0693053 | + | 0.0252251i | ||||
\(645\) | −18.5817 | −0.731654 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −2.31490 | −0.0910082 | −0.0455041 | − | 0.998964i | \(-0.514489\pi\) | ||||
−0.0455041 | + | 0.998964i | \(0.514489\pi\) | |||||||
\(648\) | −6.21688 | − | 2.26276i | −0.244222 | − | 0.0888896i | ||||
\(649\) | −0.317429 | − | 1.80023i | −0.0124602 | − | 0.0706652i | ||||
\(650\) | 4.41147 | + | 3.70167i | 0.173032 | + | 0.145191i | ||||
\(651\) | 7.75877 | − | 6.51038i | 0.304090 | − | 0.255162i | ||||
\(652\) | 2.96064 | − | 16.7906i | 0.115947 | − | 0.657571i | ||||
\(653\) | −1.65270 | + | 2.86257i | −0.0646753 | + | 0.112021i | −0.896550 | − | 0.442943i | \(-0.853934\pi\) |
0.831875 | + | 0.554964i | \(0.187268\pi\) | |||||||
\(654\) | 6.66044 | + | 11.5362i | 0.260444 | + | 0.451102i | ||||
\(655\) | 12.1557 | − | 4.42431i | 0.474962 | − | 0.172872i | ||||
\(656\) | −0.326352 | + | 0.118782i | −0.0127419 | + | 0.00463767i | ||||
\(657\) | 5.14543 | + | 8.91215i | 0.200742 | + | 0.347696i | ||||
\(658\) | 10.6263 | − | 18.4053i | 0.414256 | − | 0.717513i | ||||
\(659\) | 2.38754 | − | 13.5404i | 0.0930052 | − | 0.527459i | −0.902335 | − | 0.431035i | \(-0.858149\pi\) |
0.995340 | − | 0.0964237i | \(-0.0307404\pi\) | |||||||
\(660\) | −7.47565 | + | 6.27282i | −0.290989 | + | 0.244169i | ||||
\(661\) | 2.55438 | + | 2.14338i | 0.0993538 | + | 0.0833677i | 0.691112 | − | 0.722748i | \(-0.257121\pi\) |
−0.591758 | + | 0.806116i | \(0.701566\pi\) | |||||||
\(662\) | 3.54623 | + | 20.1116i | 0.137828 | + | 0.781661i | ||||
\(663\) | −54.0360 | − | 19.6675i | −2.09858 | − | 0.763822i | ||||
\(664\) | −8.47565 | −0.328919 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 2.85204 | 0.110514 | ||||||||
\(667\) | 1.84255 | + | 0.670633i | 0.0713438 | + | 0.0259670i | ||||
\(668\) | 0.554378 | + | 3.14403i | 0.0214495 | + | 0.121646i | ||||
\(669\) | −10.8871 | − | 9.13538i | −0.420921 | − | 0.353194i | ||||
\(670\) | −7.59627 | + | 6.37402i | −0.293469 | + | 0.246250i | ||||
\(671\) | 1.62361 | − | 9.20794i | 0.0626787 | − | 0.355468i | ||||
\(672\) | −2.06418 | + | 3.57526i | −0.0796274 | + | 0.137919i | ||||
\(673\) | 19.4905 | + | 33.7585i | 0.751304 | + | 1.30130i | 0.947191 | + | 0.320670i | \(0.103908\pi\) |
−0.195887 | + | 0.980626i | \(0.562759\pi\) | |||||||
\(674\) | −19.0856 | + | 6.94659i | −0.735149 | + | 0.267573i | ||||
\(675\) | 5.25877 | − | 1.91404i | 0.202410 | − | 0.0736713i | ||||
\(676\) | −10.0817 | − | 17.4620i | −0.387758 | − | 0.671617i | ||||
\(677\) | −21.7939 | + | 37.7481i | −0.837606 | + | 1.45078i | 0.0542853 | + | 0.998525i | \(0.482712\pi\) |
−0.891891 | + | 0.452250i | \(0.850621\pi\) | |||||||
\(678\) | −0.760830 | + | 4.31488i | −0.0292195 | + | 0.165712i | ||||
\(679\) | 0.716881 | − | 0.601535i | 0.0275114 | − | 0.0230848i | ||||
\(680\) | 9.98545 | + | 8.37879i | 0.382925 | + | 0.321312i | ||||
\(681\) | 2.05825 | + | 11.6729i | 0.0788722 | + | 0.447307i | ||||
\(682\) | −7.34224 | − | 2.67236i | −0.281149 | − | 0.102330i | ||||
\(683\) | −32.9317 | −1.26010 | −0.630048 | − | 0.776556i | \(-0.716965\pi\) | ||||
−0.630048 | + | 0.776556i | \(0.716965\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −23.3209 | −0.891045 | ||||||||
\(686\) | −17.0642 | − | 6.21085i | −0.651513 | − | 0.237131i | ||||
\(687\) | 6.12836 | + | 34.7556i | 0.233811 | + | 1.32601i | ||||
\(688\) | 4.64543 | + | 3.89798i | 0.177105 | + | 0.148609i | ||||
\(689\) | −36.2276 | + | 30.3986i | −1.38016 | + | 1.15809i | ||||
\(690\) | −0.369585 | + | 2.09602i | −0.0140699 | + | 0.0797942i | ||||
\(691\) | −17.1604 | + | 29.7228i | −0.652814 | + | 1.13071i | 0.329623 | + | 0.944113i | \(0.393078\pi\) |
−0.982437 | + | 0.186594i | \(0.940255\pi\) | |||||||
\(692\) | 4.81521 | + | 8.34018i | 0.183047 | + | 0.317046i | ||||
\(693\) | 5.26352 | − | 1.91576i | 0.199945 | − | 0.0727739i | ||||
\(694\) | 4.90033 | − | 1.78357i | 0.186014 | − | 0.0677035i | ||||
\(695\) | 8.26352 | + | 14.3128i | 0.313453 | + | 0.542917i | ||||
\(696\) | −2.16250 | + | 3.74557i | −0.0819695 | + | 0.141975i | ||||
\(697\) | −0.393056 | + | 2.22913i | −0.0148881 | + | 0.0844343i | ||||
\(698\) | −10.9855 | + | 9.21789i | −0.415805 | + | 0.348902i | ||||
\(699\) | −9.85819 | − | 8.27201i | −0.372871 | − | 0.312876i | ||||
\(700\) | −0.467911 | − | 2.65366i | −0.0176854 | − | 0.100299i | ||||
\(701\) | −6.06418 | − | 2.20718i | −0.229041 | − | 0.0833640i | 0.224950 | − | 0.974370i | \(-0.427778\pi\) |
−0.453991 | + | 0.891006i | \(0.650000\pi\) | |||||||
\(702\) | −32.2276 | −1.21635 | ||||||||
\(703\) | 0 | 0 | ||||||||
\(704\) | 3.18479 | 0.120031 | ||||||||
\(705\) | 22.7101 | + | 8.26579i | 0.855311 | + | 0.311308i | ||||
\(706\) | −4.55825 | − | 25.8511i | −0.171552 | − | 0.972919i | ||||
\(707\) | −0.762889 | − | 0.640140i | −0.0286914 | − | 0.0240749i | ||||
\(708\) | 0.673648 | − | 0.565258i | 0.0253172 | − | 0.0212437i | ||||
\(709\) | −0.586771 | + | 3.32774i | −0.0220367 | + | 0.124976i | −0.993842 | − | 0.110810i | \(-0.964655\pi\) |
0.971805 | + | 0.235786i | \(0.0757665\pi\) | |||||||
\(710\) | 8.45336 | − | 14.6417i | 0.317249 | − | 0.549492i | ||||
\(711\) | 2.95811 | + | 5.12360i | 0.110938 | + | 0.192150i | ||||
\(712\) | −7.27244 | + | 2.64695i | −0.272546 | + | 0.0991987i | ||||
\(713\) | −1.60132 | + | 0.582832i | −0.0599699 | + | 0.0218272i | ||||
\(714\) | 13.4534 | + | 23.3019i | 0.503479 | + | 0.872052i | ||||
\(715\) | −18.3405 | + | 31.7667i | −0.685895 | + | 1.18801i | ||||
\(716\) | −3.26739 | + | 18.5303i | −0.122108 | + | 0.692509i | ||||
\(717\) | 18.4611 | − | 15.4907i | 0.689443 | − | 0.578511i | ||||
\(718\) | 25.8084 | + | 21.6558i | 0.963161 | + | 0.808188i | ||||
\(719\) | −5.41828 | − | 30.7286i | −0.202068 | − | 1.14598i | −0.901988 | − | 0.431762i | \(-0.857892\pi\) |
0.699920 | − | 0.714221i | \(-0.253219\pi\) | |||||||
\(720\) | 1.22668 | + | 0.446476i | 0.0457157 | + | 0.0166392i | ||||
\(721\) | −23.1242 | −0.861192 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 26.8161 | 0.997303 | ||||||||
\(724\) | 2.61081 | + | 0.950259i | 0.0970302 | + | 0.0353161i | ||||
\(725\) | −0.490200 | − | 2.78006i | −0.0182056 | − | 0.103249i | ||||
\(726\) | −1.00593 | − | 0.844075i | −0.0373336 | − | 0.0313266i | ||||
\(727\) | −19.6578 | + | 16.4948i | −0.729066 | + | 0.611759i | −0.929877 | − | 0.367871i | \(-0.880087\pi\) |
0.200811 | + | 0.979630i | \(0.435642\pi\) | |||||||
\(728\) | −2.69459 | + | 15.2818i | −0.0998683 | + | 0.566381i | ||||
\(729\) | −15.0201 | + | 26.0155i | −0.556299 | + | 0.963538i | ||||
\(730\) | 15.7665 | + | 27.3084i | 0.583545 | + | 1.01073i | ||||
\(731\) | 37.1400 | − | 13.5178i | 1.37367 | − | 0.499975i | ||||
\(732\) | 4.22668 | − | 1.53839i | 0.156223 | − | 0.0568604i | ||||
\(733\) | 11.9368 | + | 20.6751i | 0.440894 | + | 0.763651i | 0.997756 | − | 0.0669540i | \(-0.0213281\pi\) |
−0.556862 | + | 0.830605i | \(0.687995\pi\) | |||||||
\(734\) | −5.23442 | + | 9.06629i | −0.193206 | + | 0.334643i | ||||
\(735\) | −0.138785 | + | 0.787087i | −0.00511915 | + | 0.0290321i | ||||
\(736\) | 0.532089 | − | 0.446476i | 0.0196131 | − | 0.0164573i | ||||
\(737\) | 12.0963 | + | 10.1500i | 0.445572 | + | 0.373879i | ||||
\(738\) | 0.0393628 | + | 0.223238i | 0.00144897 | + | 0.00821750i | ||||
\(739\) | 43.1698 | + | 15.7125i | 1.58803 | + | 0.577995i | 0.976930 | − | 0.213560i | \(-0.0685059\pi\) |
0.611098 | + | 0.791555i | \(0.290728\pi\) | |||||||
\(740\) | 8.73917 | 0.321258 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 22.1284 | 0.812357 | ||||||||
\(743\) | −47.9350 | − | 17.4469i | −1.75856 | − | 0.640065i | −0.758630 | − | 0.651521i | \(-0.774131\pi\) |
−0.999934 | + | 0.0114562i | \(0.996353\pi\) | |||||||
\(744\) | −0.652704 | − | 3.70167i | −0.0239293 | − | 0.135710i | ||||
\(745\) | −25.2080 | − | 21.1520i | −0.923550 | − | 0.774951i | ||||
\(746\) | 18.3105 | − | 15.3643i | 0.670394 | − | 0.562527i | ||||
\(747\) | −0.960637 | + | 5.44804i | −0.0351479 | + | 0.199334i | ||||
\(748\) | 10.3785 | − | 17.9761i | 0.379476 | − | 0.657271i | ||||
\(749\) | −15.4311 | − | 26.7274i | −0.563839 | − | 0.976598i | ||||
\(750\) | 17.2763 | − | 6.28806i | 0.630842 | − | 0.229608i | ||||
\(751\) | −34.1762 | + | 12.4391i | −1.24711 | + | 0.453910i | −0.879424 | − | 0.476040i | \(-0.842072\pi\) |
−0.367685 | + | 0.929950i | \(0.619849\pi\) | |||||||
\(752\) | −3.94356 | − | 6.83045i | −0.143807 | − | 0.249081i | ||||
\(753\) | 6.56283 | − | 11.3672i | 0.239163 | − | 0.414242i | ||||
\(754\) | −2.82295 | + | 16.0097i | −0.102806 | + | 0.583040i | ||||
\(755\) | −7.13247 | + | 5.98486i | −0.259577 | + | 0.217811i | ||||
\(756\) | 11.5517 | + | 9.69302i | 0.420131 | + | 0.352532i | ||||
\(757\) | −1.00774 | − | 5.71518i | −0.0366270 | − | 0.207722i | 0.961002 | − | 0.276541i | \(-0.0891881\pi\) |
−0.997629 | + | 0.0688189i | \(0.978077\pi\) | |||||||
\(758\) | −16.7392 | − | 6.09256i | −0.607994 | − | 0.221292i | ||||
\(759\) | 3.38919 | 0.123020 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 22.6355 | 0.820535 | 0.410268 | − | 0.911965i | \(-0.365435\pi\) | ||||
0.410268 | + | 0.911965i | \(0.365435\pi\) | |||||||
\(762\) | 14.0077 | + | 5.09840i | 0.507447 | + | 0.184696i | ||||
\(763\) | −4.06830 | − | 23.0725i | −0.147282 | − | 0.835279i | ||||
\(764\) | 7.32501 | + | 6.14641i | 0.265009 | + | 0.222369i | ||||
\(765\) | 6.51754 | − | 5.46887i | 0.235642 | − | 0.197727i | ||||
\(766\) | 4.35504 | − | 24.6986i | 0.157354 | − | 0.892398i | ||||
\(767\) | 1.65270 | − | 2.86257i | 0.0596757 | − | 0.103361i | ||||
\(768\) | 0.766044 | + | 1.32683i | 0.0276422 | + | 0.0478778i | ||||
\(769\) | −10.2451 | + | 3.72891i | −0.369448 | + | 0.134468i | −0.520071 | − | 0.854123i | \(-0.674094\pi\) |
0.150623 | + | 0.988591i | \(0.451872\pi\) | |||||||
\(770\) | 16.1284 | − | 5.87024i | 0.581226 | − | 0.211549i | ||||
\(771\) | 6.14724 | + | 10.6473i | 0.221387 | + | 0.383454i | ||||
\(772\) | −11.8405 | + | 20.5083i | −0.426149 | + | 0.738111i | ||||
\(773\) | 0.911779 | − | 5.17095i | 0.0327944 | − | 0.185986i | −0.964010 | − | 0.265865i | \(-0.914342\pi\) |
0.996805 | + | 0.0798791i | \(0.0254534\pi\) | |||||||
\(774\) | 3.03209 | − | 2.54422i | 0.108986 | − | 0.0914503i | ||||
\(775\) | 1.87939 | + | 1.57699i | 0.0675095 | + | 0.0566472i | ||||
\(776\) | −0.0603074 | − | 0.342020i | −0.00216491 | − | 0.0122778i | ||||
\(777\) | 16.9513 | + | 6.16977i | 0.608125 | + | 0.221339i | ||||
\(778\) | 9.41828 | 0.337662 | ||||||||
\(779\) | 0 | 0 | ||||||||
\(780\) | −17.6459 | −0.631824 | ||||||||
\(781\) | −25.2986 | − | 9.20794i | −0.905255 | − | 0.329486i | ||||
\(782\) | −0.786112 | − | 4.45826i | −0.0281113 | − | 0.159427i | ||||
\(783\) | 12.1019 | + | 10.1547i | 0.432488 | + | 0.362901i | ||||
\(784\) | 0.199807 | − | 0.167658i | 0.00713597 | − | 0.00598779i | ||||
\(785\) | 2.93582 | − | 16.6499i | 0.104784 | − | 0.594260i | ||||
\(786\) | 4.95471 | − | 8.58180i | 0.176729 | − | 0.306103i | ||||
\(787\) | −1.19372 | − | 2.06758i | −0.0425514 | − | 0.0737011i | 0.843965 | − | 0.536398i | \(-0.180215\pi\) |
−0.886517 | + | 0.462697i | \(0.846882\pi\) | |||||||
\(788\) | 21.5398 | − | 7.83986i | 0.767325 | − | 0.279283i | ||||
\(789\) | −8.58172 | + | 3.12349i | −0.305517 | + | 0.111199i | ||||
\(790\) | 9.06418 | + | 15.6996i | 0.322489 | + | 0.558567i | ||||
\(791\) | 3.85298 | − | 6.67355i | 0.136996 | − | 0.237284i | ||||
\(792\) | 0.360967 | − | 2.04715i | 0.0128264 | − | 0.0727421i | ||||
\(793\) | 12.9513 | − | 10.8674i | 0.459914 | − | 0.385914i | ||||
\(794\) | −5.24897 | − | 4.40441i | −0.186279 | − | 0.156307i | ||||
\(795\) | 4.36959 | + | 24.7811i | 0.154973 | + | 0.878897i | ||||
\(796\) | −9.47565 | − | 3.44886i | −0.335856 | − | 0.122241i | ||||
\(797\) | −31.0951 | −1.10145 | −0.550723 | − | 0.834688i | \(-0.685648\pi\) | ||||
−0.550723 | + | 0.834688i | \(0.685648\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −51.4047 | −1.81857 | ||||||||
\(800\) | −0.939693 | − | 0.342020i | −0.0332232 | − | 0.0120922i | ||||
\(801\) | 0.877164 | + | 4.97464i | 0.0309931 | + | 0.175770i | ||||
\(802\) | 3.63634 | + | 3.05126i | 0.128404 | + | 0.107744i | ||||
\(803\) | 38.4654 | − | 32.2763i | 1.35742 | − | 1.13901i | ||||
\(804\) | −1.31908 | + | 7.48086i | −0.0465203 | + | 0.263830i | ||||
\(805\) | 1.87164 | − | 3.24178i | 0.0659668 | − | 0.114258i | ||||
\(806\) | −7.06418 | − | 12.2355i | −0.248825 | − | 0.430978i | ||||
\(807\) | 1.65270 | − | 0.601535i | 0.0581779 | − | 0.0211750i | ||||
\(808\) | −0.347296 | + | 0.126406i | −0.0122178 | + | 0.00444693i | ||||
\(809\) | −11.1518 | − | 19.3155i | −0.392077 | − | 0.679098i | 0.600646 | − | 0.799515i | \(-0.294910\pi\) |
−0.992723 | + | 0.120417i | \(0.961577\pi\) | |||||||
\(810\) | −6.61587 | + | 11.4590i | −0.232458 | + | 0.402629i | ||||
\(811\) | −0.576342 | + | 3.26860i | −0.0202381 | + | 0.114776i | −0.993253 | − | 0.115965i | \(-0.963004\pi\) |
0.973015 | + | 0.230741i | \(0.0741150\pi\) | |||||||
\(812\) | 5.82707 | − | 4.88949i | 0.204490 | − | 0.171587i | ||||
\(813\) | −23.5371 | − | 19.7500i | −0.825484 | − | 0.692663i | ||||
\(814\) | −2.41653 | − | 13.7048i | −0.0846992 | − | 0.480353i | ||||
\(815\) | −32.0428 | − | 11.6626i | −1.12241 | − | 0.408524i | ||||
\(816\) | 9.98545 | 0.349561 | ||||||||
\(817\) | 0 | 0 | ||||||||
\(818\) | 31.6928 | 1.10811 | ||||||||
\(819\) | 9.51754 | + | 3.46410i | 0.332570 | + | 0.121046i | ||||
\(820\) | 0.120615 | + | 0.684040i | 0.00421205 | + | 0.0238877i | ||||
\(821\) | −1.40373 | − | 1.17787i | −0.0489906 | − | 0.0411080i | 0.617964 | − | 0.786207i | \(-0.287958\pi\) |
−0.666954 | + | 0.745099i | \(0.732402\pi\) | |||||||
\(822\) | −13.6853 | + | 11.4833i | −0.477328 | + | 0.400526i | ||||
\(823\) | −5.94532 | + | 33.7176i | −0.207241 | + | 1.17532i | 0.686634 | + | 0.727003i | \(0.259088\pi\) |
−0.893875 | + | 0.448317i | \(0.852024\pi\) | |||||||
\(824\) | −4.29086 | + | 7.43199i | −0.149479 | + | 0.258906i | ||||
\(825\) | −2.43969 | − | 4.22567i | −0.0849392 | − | 0.147119i | ||||
\(826\) | −1.45336 | + | 0.528981i | −0.0505690 | + | 0.0184056i | ||||
\(827\) | −18.6677 | + | 6.79449i | −0.649140 | + | 0.236268i | −0.645541 | − | 0.763726i | \(-0.723368\pi\) |
−0.00359941 | + | 0.999994i | \(0.501146\pi\) | |||||||
\(828\) | −0.226682 | − | 0.392624i | −0.00787773 | − | 0.0136446i | ||||
\(829\) | −17.8675 | + | 30.9475i | −0.620565 | + | 1.07485i | 0.368816 | + | 0.929502i | \(0.379763\pi\) |
−0.989381 | + | 0.145347i | \(0.953570\pi\) | |||||||
\(830\) | −2.94356 | + | 16.6938i | −0.102173 | + | 0.579449i | ||||
\(831\) | −20.3746 | + | 17.0964i | −0.706788 | + | 0.593066i | ||||
\(832\) | 4.41147 | + | 3.70167i | 0.152940 | + | 0.128332i | ||||
\(833\) | −0.295197 | − | 1.67414i | −0.0102280 | − | 0.0580056i | ||||
\(834\) | 11.8969 | + | 4.33013i | 0.411957 | + | 0.149940i | ||||
\(835\) | 6.38507 | 0.220964 | ||||||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −13.7297 | −0.474567 | ||||||||
\(838\) | −10.3461 | − | 3.76568i | −0.357401 | − | 0.130083i | ||||
\(839\) | 9.44562 | + | 53.5688i | 0.326099 | + | 1.84940i | 0.501836 | + | 0.864963i | \(0.332658\pi\) |
−0.175737 | + | 0.984437i | \(0.556231\pi\) | |||||||
\(840\) | 6.32501 | + | 5.30731i | 0.218233 | + | 0.183120i | ||||
\(841\) | −16.1107 | + | 13.5184i | −0.555540 | + | 0.466153i | ||||
\(842\) | −1.50475 | + | 8.53385i | −0.0518570 | + | 0.294096i | ||||
\(843\) | −2.23783 | + | 3.87603i | −0.0770748 | + | 0.133498i | ||||
\(844\) | −11.1800 | − | 19.3644i | −0.384833 | − | 0.666550i | ||||
\(845\) | −37.8949 | + | 13.7926i | −1.30362 | + | 0.474480i | ||||
\(846\) | −4.83750 | + | 1.76070i | −0.166317 | + | 0.0605343i | ||||
\(847\) | 1.15476 | + | 2.00011i | 0.0396781 | + | 0.0687245i | ||||
\(848\) | 4.10607 | − | 7.11192i | 0.141003 | − | 0.244224i | ||||
\(849\) | 2.52229 | − | 14.3046i | 0.0865647 | − | 0.490933i | ||||
\(850\) | −4.99273 | + | 4.18939i | −0.171249 | + | 0.143695i | ||||
\(851\) | −2.32501 | − | 1.95091i | −0.0797002 | − | 0.0668764i | ||||
\(852\) | −2.24897 | − | 12.7545i | −0.0770485 | − | 0.436963i | ||||
\(853\) | −15.0128 | − | 5.46421i | −0.514028 | − | 0.187091i | 0.0719646 | − | 0.997407i | \(-0.477073\pi\) |
−0.585993 | + | 0.810316i | \(0.699295\pi\) | |||||||
\(854\) | −7.91085 | −0.270704 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −11.4534 | −0.391468 | ||||||||
\(857\) | −24.4457 | − | 8.89750i | −0.835048 | − | 0.303933i | −0.111119 | − | 0.993807i | \(-0.535444\pi\) |
−0.723929 | + | 0.689874i | \(0.757666\pi\) | |||||||
\(858\) | 4.87939 | + | 27.6724i | 0.166579 | + | 0.944719i | ||||
\(859\) | 40.8075 | + | 34.2416i | 1.39233 | + | 1.16831i | 0.964384 | + | 0.264505i | \(0.0852087\pi\) |
0.427951 | + | 0.903802i | \(0.359236\pi\) | |||||||
\(860\) | 9.29086 | − | 7.79596i | 0.316816 | − | 0.265840i | ||||
\(861\) | −0.248970 | + | 1.41198i | −0.00848489 | + | 0.0481202i | ||||
\(862\) | 14.9436 | − | 25.8830i | 0.508980 | − | 0.881579i | ||||
\(863\) | 1.61587 | + | 2.79876i | 0.0550048 | + | 0.0952710i | 0.892217 | − | 0.451608i | \(-0.149149\pi\) |
−0.837212 | + | 0.546879i | \(0.815816\pi\) | |||||||
\(864\) | 5.25877 | − | 1.91404i | 0.178907 | − | 0.0651168i | ||||
\(865\) | 18.0993 | − | 6.58759i | 0.615393 | − | 0.223985i | ||||
\(866\) | −4.63041 | − | 8.02011i | −0.157348 | − | 0.272535i | ||||
\(867\) | 19.5175 | − | 33.8054i | 0.662850 | − | 1.14809i | ||||
\(868\) | −1.14796 | + | 6.51038i | −0.0389642 | + | 0.220977i | ||||
\(869\) | 22.1138 | − | 18.5557i | 0.750160 | − | 0.629459i | ||||
\(870\) | 6.62630 | + | 5.56012i | 0.224652 | + | 0.188506i | ||||
\(871\) | 4.95811 | + | 28.1188i | 0.167999 | + | 0.952771i | ||||
\(872\) | −8.17024 | − | 2.97373i | −0.276679 | − | 0.100703i | ||||
\(873\) | −0.226682 | −0.00767201 | ||||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −32.3351 | −1.09313 | ||||||||
\(876\) | 22.6989 | + | 8.26173i | 0.766926 | + | 0.279138i | ||||
\(877\) | −2.03590 | − | 11.5462i | −0.0687476 | − | 0.389887i | −0.999694 | − | 0.0247314i | \(-0.992127\pi\) |
0.930947 | − | 0.365155i | \(-0.118984\pi\) | |||||||
\(878\) | 15.9813 | + | 13.4099i | 0.539344 | + | 0.452563i | ||||
\(879\) | −32.0310 | + | 26.8772i | −1.08038 | + | 0.906544i | ||||
\(880\) | 1.10607 | − | 6.27282i | 0.0372855 | − | 0.211457i | ||||
\(881\) | −13.5236 | + | 23.4236i | −0.455623 | + | 0.789162i | −0.998724 | − | 0.0505056i | \(-0.983917\pi\) |
0.543101 | + | 0.839667i | \(0.317250\pi\) | |||||||
\(882\) | −0.0851223 | − | 0.147436i | −0.00286622 | − | 0.00496443i | ||||
\(883\) | −13.6077 | + | 4.95280i | −0.457936 | + | 0.166675i | −0.560680 | − | 0.828033i | \(-0.689460\pi\) |
0.102744 | + | 0.994708i | \(0.467238\pi\) | |||||||
\(884\) | 35.2695 | − | 12.8370i | 1.18624 | − | 0.431757i | ||||
\(885\) | −0.879385 | − | 1.52314i | −0.0295602 | − | 0.0511998i | ||||
\(886\) | 11.9140 | − | 20.6357i | 0.400259 | − | 0.693268i | ||||
\(887\) | 2.01279 | − | 11.4151i | 0.0675830 | − | 0.383282i | −0.932190 | − | 0.361970i | \(-0.882104\pi\) |
0.999773 | − | 0.0213125i | \(-0.00678449\pi\) | |||||||
\(888\) | 5.12836 | − | 4.30320i | 0.172096 | − | 0.144406i | ||||
\(889\) | −20.0838 | − | 16.8523i | −0.673588 | − | 0.565208i | ||||
\(890\) | 2.68779 | + | 15.2432i | 0.0900948 | + | 0.510953i | ||||
\(891\) | 19.7995 | + | 7.20642i | 0.663307 | + | 0.241424i | ||||
\(892\) | 9.27631 | 0.310594 | ||||||||
\(893\) | 0 | 0 | ||||||||
\(894\) | −25.2080 | −0.843082 | ||||||||
\(895\) | 35.3628 | + | 12.8710i | 1.18205 | + | 0.430230i | ||||
\(896\) | −0.467911 | − | 2.65366i | −0.0156318 | − | 0.0886524i | ||||
\(897\) | 4.69459 | + | 3.93923i | 0.156748 | + | 0.131527i | ||||
\(898\) | −1.67159 | + | 1.40263i | −0.0557816 | + | 0.0468064i | ||||
\(899\) | −1.20264 | + | 6.82050i | −0.0401102 | + | 0.227476i | ||||
\(900\) | −0.326352 | + | 0.565258i | −0.0108784 | + | 0.0188419i | ||||
\(901\) | −26.7615 | − | 46.3522i | −0.891553 | − | 1.54422i | ||||
\(902\) | 1.03936 | − | 0.378297i | 0.0346070 | − | 0.0125959i | ||||
\(903\) | 23.5253 | − | 8.56250i | 0.782872 | − | 0.284942i | ||||
\(904\) | −1.42989 | − | 2.47665i | −0.0475575 | − | 0.0823720i | ||||
\(905\) | 2.77837 | − | 4.81228i | 0.0923562 | − | 0.159966i | ||||
\(906\) | −1.23854 | + | 7.02412i | −0.0411478 | + | 0.233361i | ||||
\(907\) | −32.1575 | + | 26.9834i | −1.06777 | + | 0.895968i | −0.994849 | − | 0.101370i | \(-0.967677\pi\) |
−0.0729237 | + | 0.997338i | \(0.523233\pi\) | |||||||
\(908\) | −5.92649 | − | 4.97291i | −0.196677 | − | 0.165032i | ||||
\(909\) | 0.0418891 | + | 0.237565i | 0.00138937 | + | 0.00787952i | ||||
\(910\) | 29.1634 | + | 10.6146i | 0.966759 | + | 0.351871i | ||||
\(911\) | 44.8675 | 1.48653 | 0.743264 | − | 0.668999i | \(-0.233277\pi\) | ||||
0.743264 | + | 0.668999i | \(0.233277\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 26.9932 | 0.893344 | ||||||||
\(914\) | 1.67365 | + | 0.609158i | 0.0553594 | + | 0.0201492i | ||||
\(915\) | −1.56212 | − | 8.85921i | −0.0516420 | − | 0.292877i | ||||
\(916\) | −17.6459 | − | 14.8067i | −0.583037 | − | 0.489226i | ||||
\(917\) | −13.3509 | + | 11.2028i | −0.440886 | + | 0.369947i | ||||
\(918\) | 6.33363 | − | 35.9198i | 0.209041 | − | 1.18553i | ||||
\(919\) | 16.2635 | − | 28.1692i | 0.536484 | − | 0.929217i | −0.462606 | − | 0.886564i | \(-0.653086\pi\) |
0.999090 | − | 0.0426535i | \(-0.0135811\pi\) | |||||||
\(920\) | −0.694593 | − | 1.20307i | −0.0229000 | − | 0.0396640i | ||||
\(921\) | −30.7067 | + | 11.1763i | −1.01182 | + | 0.368272i | ||||
\(922\) | −14.5544 | + | 5.29736i | −0.479323 | + | 0.174459i | ||||
\(923\) | −24.3405 | − | 42.1590i | −0.801177 | − | 1.38768i | ||||
\(924\) | 6.57398 | − | 11.3865i | 0.216268 | − | 0.374587i | ||||
\(925\) | −0.758770 | + | 4.30320i | −0.0249482 | + | 0.141488i | ||||
\(926\) | 2.07604 | − | 1.74200i | 0.0682228 | − | 0.0572457i | ||||
\(927\) | 4.29086 | + | 3.60046i | 0.140930 | + | 0.118255i | ||||
\(928\) | −0.490200 | − | 2.78006i | −0.0160916 | − | 0.0912600i | ||||
\(929\) | −11.1261 | − | 4.04958i | −0.365037 | − | 0.132862i | 0.152988 | − | 0.988228i | \(-0.451110\pi\) |
−0.518025 | + | 0.855366i | \(0.673333\pi\) | |||||||
\(930\) | −7.51754 | −0.246510 | ||||||||
\(931\) | 0 | 0 | ||||||||
\(932\) | 8.39961 | 0.275139 | ||||||||
\(933\) | −42.1712 | − | 15.3491i | −1.38062 | − | 0.502505i | ||||
\(934\) | −2.24241 | − | 12.7173i | −0.0733739 | − | 0.416124i | ||||
\(935\) | −31.8016 | − | 26.6847i | −1.04002 | − | 0.872683i | ||||
\(936\) | 2.87939 | − | 2.41609i | 0.0941157 | − | 0.0789724i | ||||
\(937\) | −0.132636 | + | 0.752219i | −0.00433304 | + | 0.0245739i | −0.986898 | − | 0.161348i | \(-0.948416\pi\) |
0.982565 | + | 0.185922i | \(0.0595271\pi\) | |||||||
\(938\) | 6.68004 | − | 11.5702i | 0.218111 | − | 0.377780i | ||||
\(939\) | 4.26011 | + | 7.37874i | 0.139024 | + | 0.240796i | ||||
\(940\) | −14.8229 | + | 5.39511i | −0.483471 | + | 0.175969i | ||||
\(941\) | −20.1976 | + | 7.35132i | −0.658422 | + | 0.239646i | −0.649555 | − | 0.760315i | \(-0.725045\pi\) |
−0.00886735 | + | 0.999961i | \(0.502823\pi\) | |||||||
\(942\) | −6.47565 | − | 11.2162i | −0.210988 | − | 0.365442i | ||||
\(943\) | 0.120615 | − | 0.208911i | 0.00392776 | − | 0.00680307i | ||||
\(944\) | −0.0996702 | + | 0.565258i | −0.00324399 | + | 0.0183976i | ||||
\(945\) | 23.1034 | − | 19.3860i | 0.751553 | − | 0.630628i | ||||
\(946\) | −14.7947 | − | 12.4143i | −0.481018 | − | 0.403622i | ||||
\(947\) | 5.50206 | + | 31.2037i | 0.178793 | + | 1.01398i | 0.933674 | + | 0.358124i | \(0.116583\pi\) |
−0.754881 | + | 0.655861i | \(0.772306\pi\) | |||||||
\(948\) | 13.0496 | + | 4.74968i | 0.423832 | + | 0.154262i | ||||
\(949\) | 90.7957 | 2.94735 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 5.82707 | 0.188956 | ||||||||
\(952\) | −16.5030 | − | 6.00660i | −0.534865 | − | 0.194675i | ||||
\(953\) | −9.70192 | − | 55.0223i | −0.314276 | − | 1.78235i | −0.576250 | − | 0.817273i | \(-0.695485\pi\) |
0.261974 | − | 0.965075i | \(-0.415627\pi\) | |||||||
\(954\) | −4.10607 | − | 3.44540i | −0.132939 | − | 0.111549i | ||||
\(955\) | 14.6500 | − | 12.2928i | 0.474063 | − | 0.397786i | ||||
\(956\) | −2.73143 | + | 15.4907i | −0.0883407 | + | 0.501005i | ||||
\(957\) | 6.88713 | − | 11.9289i | 0.222629 | − | 0.385605i | ||||
\(958\) | −9.27631 | − | 16.0670i | −0.299704 | − | 0.519103i | ||||
\(959\) | 29.5253 | − | 10.7463i | 0.953421 | − | 0.347017i | ||||
\(960\) | 2.87939 | − | 1.04801i | 0.0929318 | − | 0.0338244i | ||||
\(961\) | 12.4905 | + | 21.6342i | 0.402920 | + | 0.697877i | ||||
\(962\) | 12.5817 | − | 21.7922i | 0.405651 | − | 0.702608i | ||||
\(963\) | −1.29813 | + | 7.36208i | −0.0418318 | + | 0.237240i | ||||
\(964\) | −13.4081 | + | 11.2507i | −0.431845 | + | 0.362361i | ||||
\(965\) | 36.2814 | + | 30.4437i | 1.16794 | + | 0.980017i | ||||
\(966\) | −0.497941 | − | 2.82396i | −0.0160210 | − | 0.0908595i | ||||
\(967\) | −20.2567 | − | 7.37284i | −0.651412 | − | 0.237095i | −0.00488775 | − | 0.999988i | \(-0.501556\pi\) |
−0.646524 | + | 0.762894i | \(0.723778\pi\) | |||||||
\(968\) | 0.857097 | 0.0275481 | ||||||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −0.694593 | −0.0223020 | ||||||||
\(971\) | 45.7220 | + | 16.6414i | 1.46729 | + | 0.534049i | 0.947363 | − | 0.320162i | \(-0.103737\pi\) |
0.519926 | + | 0.854211i | \(0.325960\pi\) | |||||||
\(972\) | −1.15523 | − | 6.55163i | −0.0370540 | − | 0.210144i | ||||
\(973\) | −17.0574 | − | 14.3128i | −0.546834 | − | 0.458848i | ||||
\(974\) | 31.5408 | − | 26.4658i | 1.01063 | − | 0.848020i | ||||
\(975\) | 1.53209 | − | 8.68891i | 0.0490661 | − | 0.278268i | ||||
\(976\) | −1.46791 | + | 2.54250i | −0.0469867 | + | 0.0813833i | ||||
\(977\) | −25.2741 | − | 43.7760i | −0.808590 | − | 1.40052i | −0.913841 | − | 0.406073i | \(-0.866898\pi\) |
0.105251 | − | 0.994446i | \(-0.466435\pi\) | |||||||
\(978\) | −24.5462 | + | 8.93410i | −0.784902 | + | 0.285681i | ||||
\(979\) | 23.1612 | − | 8.42999i | 0.740236 | − | 0.269424i | ||||
\(980\) | −0.260830 | − | 0.451771i | −0.00833190 | − | 0.0144313i | ||||
\(981\) | −2.83750 | + | 4.91469i | −0.0905943 | + | 0.156914i | ||||
\(982\) | 3.92056 | − | 22.2346i | 0.125110 | − | 0.709534i | ||||
\(983\) | 23.0273 | − | 19.3222i | 0.734458 | − | 0.616284i | −0.196885 | − | 0.980427i | \(-0.563083\pi\) |
0.931343 | + | 0.364143i | \(0.118638\pi\) | |||||||
\(984\) | 0.407604 | + | 0.342020i | 0.0129939 | + | 0.0109032i | ||||
\(985\) | −7.96080 | − | 45.1479i | −0.253652 | − | 1.43853i | ||||
\(986\) | −17.2891 | − | 6.29272i | −0.550597 | − | 0.200401i | ||||
\(987\) | −32.5609 | −1.03642 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −4.21213 | −0.133938 | ||||||||
\(990\) | −3.90673 | − | 1.42193i | −0.124164 | − | 0.0451920i | ||||
\(991\) | −0.478016 | − | 2.71096i | −0.0151847 | − | 0.0861166i | 0.976274 | − | 0.216540i | \(-0.0694773\pi\) |
−0.991458 | + | 0.130424i | \(0.958366\pi\) | |||||||
\(992\) | 1.87939 | + | 1.57699i | 0.0596705 | + | 0.0500695i | ||||
\(993\) | 23.9681 | − | 20.1116i | 0.760606 | − | 0.638224i | ||||
\(994\) | −3.95542 | + | 22.4323i | −0.125458 | + | 0.711510i | ||||
\(995\) | −10.0838 | + | 17.4656i | −0.319677 | + | 0.553697i | ||||
\(996\) | 6.49273 | + | 11.2457i | 0.205730 | + | 0.356335i | ||||
\(997\) | −8.17974 | + | 2.97718i | −0.259055 | + | 0.0942883i | −0.468283 | − | 0.883579i | \(-0.655127\pi\) |
0.209228 | + | 0.977867i | \(0.432905\pi\) | |||||||
\(998\) | −27.5599 | + | 10.0310i | −0.872393 | + | 0.317525i | ||||
\(999\) | −12.2267 | − | 21.1772i | −0.386835 | − | 0.670018i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))