Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [441,2,Mod(67,441)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(441, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([2, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("441.67");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 441 = 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 441.g (of order \(3\), degree \(2\), 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: | \(3.52140272914\) |
Analytic rank: | \(0\) |
Dimension: | \(6\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{3})\) |
Coefficient field: | 6.0.309123.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{6} - 3x^{5} + 10x^{4} - 15x^{3} + 19x^{2} - 12x + 3 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{4}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 63) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 79.3 | ||
Root | \(0.500000 - 2.05195i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 441.79 |
Dual form | 441.2.g.d.67.3 |
$q$-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 \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(344\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.23025 | + | 2.13086i | 0.869920 | + | 1.50675i | 0.862078 | + | 0.506776i | \(0.169163\pi\) |
0.00784213 | + | 0.999969i | \(0.497504\pi\) | |||||||
\(3\) | −0.933463 | − | 1.45899i | −0.538935 | − | 0.842347i | ||||
\(4\) | −2.02704 | + | 3.51094i | −1.01352 | + | 1.75547i | ||||
\(5\) | 2.59358 | 1.15988 | 0.579942 | − | 0.814658i | \(-0.303075\pi\) | ||||
0.579942 | + | 0.814658i | \(0.303075\pi\) | |||||||
\(6\) | 1.96050 | − | 3.78400i | 0.800373 | − | 1.54481i | ||||
\(7\) | 0 | 0 | ||||||||
\(8\) | −5.05408 | −1.78689 | ||||||||
\(9\) | −1.25729 | + | 2.72382i | −0.419098 | + | 0.907941i | ||||
\(10\) | 3.19076 | + | 5.52655i | 1.00901 | + | 1.74765i | ||||
\(11\) | 4.51459 | 1.36120 | 0.680600 | − | 0.732655i | \(-0.261719\pi\) | ||||
0.680600 | + | 0.732655i | \(0.261719\pi\) | |||||||
\(12\) | 7.01459 | − | 0.319901i | 2.02494 | − | 0.0923474i | ||||
\(13\) | 0.500000 | + | 0.866025i | 0.138675 | + | 0.240192i | 0.926995 | − | 0.375073i | \(-0.122382\pi\) |
−0.788320 | + | 0.615265i | \(0.789049\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −2.42101 | − | 3.78400i | −0.625102 | − | 0.977025i | ||||
\(16\) | −2.16372 | − | 3.74766i | −0.540929 | − | 0.936916i | ||||
\(17\) | −0.472958 | − | 0.819187i | −0.114709 | − | 0.198682i | 0.802954 | − | 0.596041i | \(-0.203260\pi\) |
−0.917663 | + | 0.397359i | \(0.869927\pi\) | |||||||
\(18\) | −7.35087 | + | 0.671871i | −1.73262 | + | 0.158362i | ||||
\(19\) | −2.02704 | + | 3.51094i | −0.465035 | + | 0.805465i | −0.999203 | − | 0.0399136i | \(-0.987292\pi\) |
0.534168 | + | 0.845378i | \(0.320625\pi\) | |||||||
\(20\) | −5.25729 | + | 9.10590i | −1.17557 | + | 2.03614i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 5.55408 | + | 9.61996i | 1.18413 | + | 2.05098i | ||||
\(23\) | −0.273346 | −0.0569966 | −0.0284983 | − | 0.999594i | \(-0.509073\pi\) | ||||
−0.0284983 | + | 0.999594i | \(0.509073\pi\) | |||||||
\(24\) | 4.71780 | + | 7.37385i | 0.963017 | + | 1.50518i | ||||
\(25\) | 1.72665 | 0.345331 | ||||||||
\(26\) | −1.23025 | + | 2.13086i | −0.241272 | + | 0.417896i | ||||
\(27\) | 5.14766 | − | 0.708209i | 0.990668 | − | 0.136295i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −1.23025 | + | 2.13086i | −0.228452 | + | 0.395691i | −0.957350 | − | 0.288932i | \(-0.906700\pi\) |
0.728897 | + | 0.684623i | \(0.240033\pi\) | |||||||
\(30\) | 5.08472 | − | 9.81411i | 0.928340 | − | 1.79180i | ||||
\(31\) | 1.16372 | − | 2.01561i | 0.209009 | − | 0.362015i | −0.742393 | − | 0.669964i | \(-0.766309\pi\) |
0.951403 | + | 0.307949i | \(0.0996427\pi\) | |||||||
\(32\) | 0.269748 | − | 0.467216i | 0.0476851 | − | 0.0825930i | ||||
\(33\) | −4.21420 | − | 6.58673i | −0.733598 | − | 1.14660i | ||||
\(34\) | 1.16372 | − | 2.01561i | 0.199576 | − | 0.345675i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | −7.01459 | − | 9.93559i | −1.16910 | − | 1.65593i | ||||
\(37\) | −0.890369 | + | 1.54216i | −0.146376 | + | 0.253530i | −0.929885 | − | 0.367849i | \(-0.880094\pi\) |
0.783510 | + | 0.621380i | \(0.213428\pi\) | |||||||
\(38\) | −9.97509 | −1.61817 | ||||||||
\(39\) | 0.796790 | − | 1.53790i | 0.127588 | − | 0.246261i | ||||
\(40\) | −13.1082 | −2.07258 | ||||||||
\(41\) | −3.20321 | − | 5.54812i | −0.500257 | − | 0.866471i | −1.00000 | 0.000297253i | \(-0.999905\pi\) | |
0.499743 | − | 0.866174i | \(-0.333428\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 5.21780 | − | 9.03749i | 0.795707 | − | 1.37820i | −0.126682 | − | 0.991943i | \(-0.540433\pi\) |
0.922389 | − | 0.386262i | \(-0.126234\pi\) | |||||||
\(44\) | −9.15126 | + | 15.8505i | −1.37960 | + | 2.38955i | ||||
\(45\) | −3.26089 | + | 7.06445i | −0.486105 | + | 1.05311i | ||||
\(46\) | −0.336285 | − | 0.582462i | −0.0495825 | − | 0.0858794i | ||||
\(47\) | −6.08113 | − | 10.5328i | −0.887023 | − | 1.53637i | −0.843377 | − | 0.537323i | \(-0.819436\pi\) |
−0.0436467 | − | 0.999047i | \(-0.513898\pi\) | |||||||
\(48\) | −3.44805 | + | 6.65514i | −0.497683 | + | 0.960587i | ||||
\(49\) | 0 | 0 | ||||||||
\(50\) | 2.12422 | + | 3.67926i | 0.300410 | + | 0.520326i | ||||
\(51\) | −0.753696 | + | 1.45472i | −0.105539 | + | 0.203702i | ||||
\(52\) | −4.05408 | −0.562200 | ||||||||
\(53\) | 3.13667 | + | 5.43288i | 0.430855 | + | 0.746263i | 0.996947 | − | 0.0780790i | \(-0.0248786\pi\) |
−0.566092 | + | 0.824342i | \(0.691545\pi\) | |||||||
\(54\) | 7.84202 | + | 10.0977i | 1.06716 | + | 1.37412i | ||||
\(55\) | 11.7089 | 1.57883 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 7.01459 | − | 0.319901i | 0.929105 | − | 0.0423719i | ||||
\(58\) | −6.05408 | −0.794940 | ||||||||
\(59\) | −1.36333 | + | 2.36135i | −0.177490 | + | 0.307422i | −0.941020 | − | 0.338350i | \(-0.890131\pi\) |
0.763530 | + | 0.645772i | \(0.223464\pi\) | |||||||
\(60\) | 18.1929 | − | 0.829688i | 2.34869 | − | 0.107112i | ||||
\(61\) | −1.13667 | − | 1.96878i | −0.145536 | − | 0.252076i | 0.784037 | − | 0.620714i | \(-0.213157\pi\) |
−0.929573 | + | 0.368639i | \(0.879824\pi\) | |||||||
\(62\) | 5.72665 | 0.727286 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −7.32743 | −0.915929 | ||||||||
\(65\) | 1.29679 | + | 2.24611i | 0.160847 | + | 0.278595i | ||||
\(66\) | 8.85087 | − | 17.0832i | 1.08947 | − | 2.10280i | ||||
\(67\) | 7.90856 | − | 13.6980i | 0.966184 | − | 1.67348i | 0.259784 | − | 0.965667i | \(-0.416349\pi\) |
0.706400 | − | 0.707813i | \(-0.250318\pi\) | |||||||
\(68\) | 3.83482 | 0.465041 | ||||||||
\(69\) | 0.255158 | + | 0.398809i | 0.0307175 | + | 0.0480110i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 3.27335 | 0.388475 | 0.194237 | − | 0.980955i | \(-0.437777\pi\) | ||||
0.194237 | + | 0.980955i | \(0.437777\pi\) | |||||||
\(72\) | 6.35447 | − | 13.7664i | 0.748882 | − | 1.62239i | ||||
\(73\) | −0.753696 | − | 1.30544i | −0.0882134 | − | 0.152790i | 0.818543 | − | 0.574446i | \(-0.194782\pi\) |
−0.906756 | + | 0.421656i | \(0.861449\pi\) | |||||||
\(74\) | −4.38151 | −0.509341 | ||||||||
\(75\) | −1.61177 | − | 2.51917i | −0.186111 | − | 0.290888i | ||||
\(76\) | −8.21780 | − | 14.2336i | −0.942646 | − | 1.63271i | ||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 4.25729 | − | 0.194154i | 0.482044 | − | 0.0219836i | ||||
\(79\) | −7.35447 | − | 12.7383i | −0.827443 | − | 1.43317i | −0.900038 | − | 0.435811i | \(-0.856461\pi\) |
0.0725952 | − | 0.997361i | \(-0.476872\pi\) | |||||||
\(80\) | −5.61177 | − | 9.71987i | −0.627415 | − | 1.08671i | ||||
\(81\) | −5.83842 | − | 6.84929i | −0.648713 | − | 0.761033i | ||||
\(82\) | 7.88151 | − | 13.6512i | 0.870368 | − | 1.50752i | ||||
\(83\) | −0.472958 | + | 0.819187i | −0.0519139 | + | 0.0899175i | −0.890815 | − | 0.454367i | \(-0.849865\pi\) |
0.838901 | + | 0.544285i | \(0.183199\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −1.22665 | − | 2.12463i | −0.133049 | − | 0.230448i | ||||
\(86\) | 25.6768 | 2.76881 | ||||||||
\(87\) | 4.25729 | − | 0.194154i | 0.456430 | − | 0.0208155i | ||||
\(88\) | −22.8171 | −2.43231 | ||||||||
\(89\) | −7.17830 | + | 12.4332i | −0.760899 | + | 1.31792i | 0.181489 | + | 0.983393i | \(0.441908\pi\) |
−0.942388 | + | 0.334522i | \(0.891425\pi\) | |||||||
\(90\) | −19.0651 | + | 1.74255i | −2.00964 | + | 0.183681i | ||||
\(91\) | 0 | 0 | ||||||||
\(92\) | 0.554084 | − | 0.959702i | 0.0577673 | − | 0.100056i | ||||
\(93\) | −4.02704 | + | 0.183653i | −0.417585 | + | 0.0190440i | ||||
\(94\) | 14.9626 | − | 25.9161i | 1.54328 | − | 2.67304i | ||||
\(95\) | −5.25729 | + | 9.10590i | −0.539387 | + | 0.934246i | ||||
\(96\) | −0.933463 | + | 0.0425706i | −0.0952711 | + | 0.00434485i | ||||
\(97\) | −5.74484 | + | 9.95036i | −0.583300 | + | 1.01031i | 0.411785 | + | 0.911281i | \(0.364906\pi\) |
−0.995085 | + | 0.0990246i | \(0.968428\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −5.67617 | + | 12.2969i | −0.570476 | + | 1.23589i | ||||
\(100\) | −3.50000 | + | 6.06218i | −0.350000 | + | 0.606218i | ||||
\(101\) | 3.67977 | 0.366150 | 0.183075 | − | 0.983099i | \(-0.441395\pi\) | ||||
0.183075 | + | 0.983099i | \(0.441395\pi\) | |||||||
\(102\) | −4.02704 | + | 0.183653i | −0.398737 | + | 0.0181844i | ||||
\(103\) | 9.72665 | 0.958396 | 0.479198 | − | 0.877707i | \(-0.340928\pi\) | ||||
0.479198 | + | 0.877707i | \(0.340928\pi\) | |||||||
\(104\) | −2.52704 | − | 4.37697i | −0.247797 | − | 0.429197i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −7.71780 | + | 13.3676i | −0.749619 | + | 1.29838i | ||||
\(107\) | 0.687159 | − | 1.19019i | 0.0664301 | − | 0.115060i | −0.830897 | − | 0.556426i | \(-0.812172\pi\) |
0.897327 | + | 0.441365i | \(0.145506\pi\) | |||||||
\(108\) | −7.94805 | + | 19.5087i | −0.764802 | + | 1.87723i | ||||
\(109\) | 1.69961 | + | 2.94381i | 0.162793 | + | 0.281966i | 0.935869 | − | 0.352347i | \(-0.114616\pi\) |
−0.773076 | + | 0.634313i | \(0.781283\pi\) | |||||||
\(110\) | 14.4050 | + | 24.9501i | 1.37346 | + | 2.37890i | ||||
\(111\) | 3.08113 | − | 0.140515i | 0.292448 | − | 0.0133371i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −5.19436 | − | 8.99689i | −0.488644 | − | 0.846356i | 0.511271 | − | 0.859420i | \(-0.329175\pi\) |
−0.999915 | + | 0.0130636i | \(0.995842\pi\) | |||||||
\(114\) | 9.31138 | + | 14.5535i | 0.872091 | + | 1.36306i | ||||
\(115\) | −0.708945 | −0.0661095 | ||||||||
\(116\) | −4.98755 | − | 8.63868i | −0.463082 | − | 0.802082i | ||||
\(117\) | −2.98755 | + | 0.273062i | −0.276199 | + | 0.0252446i | ||||
\(118\) | −6.70895 | −0.617608 | ||||||||
\(119\) | 0 | 0 | ||||||||
\(120\) | 12.2360 | + | 19.1247i | 1.11699 | + | 1.74584i | ||||
\(121\) | 9.38151 | 0.852865 | ||||||||
\(122\) | 2.79679 | − | 4.84418i | 0.253209 | − | 0.438572i | ||||
\(123\) | −5.10457 | + | 9.85241i | −0.460264 | + | 0.888362i | ||||
\(124\) | 4.71780 | + | 8.17147i | 0.423671 | + | 0.733820i | ||||
\(125\) | −8.48968 | −0.759340 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 0.672570 | 0.0596809 | 0.0298405 | − | 0.999555i | \(-0.490500\pi\) | ||||
0.0298405 | + | 0.999555i | \(0.490500\pi\) | |||||||
\(128\) | −9.55408 | − | 16.5482i | −0.844470 | − | 1.46266i | ||||
\(129\) | −18.0562 | + | 0.823455i | −1.58976 | + | 0.0725012i | ||||
\(130\) | −3.19076 | + | 5.52655i | −0.279848 | + | 0.484711i | ||||
\(131\) | −7.91381 | −0.691433 | −0.345717 | − | 0.938339i | \(-0.612364\pi\) | ||||
−0.345717 | + | 0.938339i | \(0.612364\pi\) | |||||||
\(132\) | 31.6680 | − | 1.44422i | 2.75634 | − | 0.125703i | ||||
\(133\) | 0 | 0 | ||||||||
\(134\) | 38.9181 | 3.36201 | ||||||||
\(135\) | 13.3509 | − | 1.83680i | 1.14906 | − | 0.158086i | ||||
\(136\) | 2.39037 | + | 4.14024i | 0.204972 | + | 0.355023i | ||||
\(137\) | −3.67257 | −0.313769 | −0.156884 | − | 0.987617i | \(-0.550145\pi\) | ||||
−0.156884 | + | 0.987617i | \(0.550145\pi\) | |||||||
\(138\) | −0.535897 | + | 1.03434i | −0.0456185 | + | 0.0880491i | ||||
\(139\) | −1.02704 | − | 1.77889i | −0.0871126 | − | 0.150883i | 0.819177 | − | 0.573541i | \(-0.194431\pi\) |
−0.906289 | + | 0.422658i | \(0.861097\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −9.69076 | + | 18.7043i | −0.816109 | + | 1.57519i | ||||
\(142\) | 4.02704 | + | 6.97504i | 0.337942 | + | 0.585332i | ||||
\(143\) | 2.25729 | + | 3.90975i | 0.188764 | + | 0.326950i | ||||
\(144\) | 12.9284 | − | 1.18166i | 1.07737 | − | 0.0984715i | ||||
\(145\) | −3.19076 | + | 5.52655i | −0.264978 | + | 0.458955i | ||||
\(146\) | 1.85447 | − | 3.21204i | 0.153477 | − | 0.265830i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −3.60963 | − | 6.25206i | −0.296710 | − | 0.513917i | ||||
\(149\) | −13.5438 | −1.10955 | −0.554774 | − | 0.832001i | \(-0.687195\pi\) | ||||
−0.554774 | + | 0.832001i | \(0.687195\pi\) | |||||||
\(150\) | 3.38511 | − | 6.53366i | 0.276393 | − | 0.533471i | ||||
\(151\) | 9.92821 | 0.807946 | 0.403973 | − | 0.914771i | \(-0.367629\pi\) | ||||
0.403973 | + | 0.914771i | \(0.367629\pi\) | |||||||
\(152\) | 10.2448 | − | 17.7446i | 0.830966 | − | 1.43928i | ||||
\(153\) | 2.82597 | − | 0.258294i | 0.228466 | − | 0.0208818i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 3.01819 | − | 5.22765i | 0.242427 | − | 0.419895i | ||||
\(156\) | 3.78434 | + | 5.91486i | 0.302989 | + | 0.473568i | ||||
\(157\) | 3.02704 | − | 5.24299i | 0.241584 | − | 0.418436i | −0.719581 | − | 0.694408i | \(-0.755666\pi\) |
0.961166 | + | 0.275972i | \(0.0889996\pi\) | |||||||
\(158\) | 18.0957 | − | 31.3427i | 1.43962 | − | 2.49349i | ||||
\(159\) | 4.99854 | − | 9.64776i | 0.396410 | − | 0.765117i | ||||
\(160\) | 0.699612 | − | 1.21176i | 0.0553092 | − | 0.0957983i | ||||
\(161\) | 0 | 0 | ||||||||
\(162\) | 7.41216 | − | 20.8672i | 0.582354 | − | 1.63948i | ||||
\(163\) | −8.90856 | + | 15.4301i | −0.697772 | + | 1.20858i | 0.271465 | + | 0.962448i | \(0.412492\pi\) |
−0.969237 | + | 0.246128i | \(0.920842\pi\) | |||||||
\(164\) | 25.9722 | 2.02809 | ||||||||
\(165\) | −10.9299 | − | 17.0832i | −0.850889 | − | 1.32993i | ||||
\(166\) | −2.32743 | −0.180644 | ||||||||
\(167\) | −4.23385 | − | 7.33325i | −0.327625 | − | 0.567464i | 0.654415 | − | 0.756136i | \(-0.272915\pi\) |
−0.982040 | + | 0.188672i | \(0.939582\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 6.00000 | − | 10.3923i | 0.461538 | − | 0.799408i | ||||
\(170\) | 3.01819 | − | 5.22765i | 0.231484 | − | 0.400943i | ||||
\(171\) | −7.01459 | − | 9.93559i | −0.536419 | − | 0.759793i | ||||
\(172\) | 21.1534 | + | 36.6388i | 1.61293 | + | 2.79368i | ||||
\(173\) | 8.67830 | + | 15.0313i | 0.659799 | + | 1.14281i | 0.980667 | + | 0.195682i | \(0.0626920\pi\) |
−0.320868 | + | 0.947124i | \(0.603975\pi\) | |||||||
\(174\) | 5.65126 | + | 8.83284i | 0.428421 | + | 0.669616i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | −9.76829 | − | 16.9192i | −0.736312 | − | 1.27533i | ||||
\(177\) | 4.71780 | − | 0.215155i | 0.354612 | − | 0.0161721i | ||||
\(178\) | −35.3245 | −2.64768 | ||||||||
\(179\) | 5.67471 | + | 9.82888i | 0.424147 | + | 0.734645i | 0.996340 | − | 0.0854741i | \(-0.0272405\pi\) |
−0.572193 | + | 0.820119i | \(0.693907\pi\) | |||||||
\(180\) | −18.1929 | − | 25.7687i | −1.35602 | − | 1.92069i | ||||
\(181\) | −21.8889 | −1.62699 | −0.813495 | − | 0.581572i | \(-0.802438\pi\) | ||||
−0.813495 | + | 0.581572i | \(0.802438\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −1.81138 | + | 3.49617i | −0.133901 | + | 0.258444i | ||||
\(184\) | 1.38151 | 0.101847 | ||||||||
\(185\) | −2.30924 | + | 3.99973i | −0.169779 | + | 0.294066i | ||||
\(186\) | −5.34562 | − | 8.35512i | −0.391960 | − | 0.612627i | ||||
\(187\) | −2.13521 | − | 3.69829i | −0.156142 | − | 0.270446i | ||||
\(188\) | 49.3068 | 3.59607 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −25.8712 | −1.87689 | ||||||||
\(191\) | 0.350874 | + | 0.607731i | 0.0253883 | + | 0.0439739i | 0.878440 | − | 0.477852i | \(-0.158584\pi\) |
−0.853052 | + | 0.521826i | \(0.825251\pi\) | |||||||
\(192\) | 6.83988 | + | 10.6906i | 0.493626 | + | 0.771530i | ||||
\(193\) | −6.07227 | + | 10.5175i | −0.437092 | + | 0.757065i | −0.997464 | − | 0.0711760i | \(-0.977325\pi\) |
0.560372 | + | 0.828241i | \(0.310658\pi\) | |||||||
\(194\) | −28.2704 | −2.02970 | ||||||||
\(195\) | 2.06654 | − | 3.98866i | 0.147988 | − | 0.285634i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −16.4107 | −1.16921 | −0.584607 | − | 0.811317i | \(-0.698751\pi\) | ||||
−0.584607 | + | 0.811317i | \(0.698751\pi\) | |||||||
\(198\) | −33.1862 | + | 3.03322i | −2.35844 | + | 0.215562i | ||||
\(199\) | 11.3530 | + | 19.6640i | 0.804794 | + | 1.39394i | 0.916430 | + | 0.400194i | \(0.131057\pi\) |
−0.111637 | + | 0.993749i | \(0.535609\pi\) | |||||||
\(200\) | −8.72665 | −0.617068 | ||||||||
\(201\) | −27.3676 | + | 1.24810i | −1.93036 | + | 0.0880342i | ||||
\(202\) | 4.52704 | + | 7.84107i | 0.318522 | + | 0.551696i | ||||
\(203\) | 0 | 0 | ||||||||
\(204\) | −3.57966 | − | 5.59496i | −0.250627 | − | 0.391726i | ||||
\(205\) | −8.30778 | − | 14.3895i | −0.580241 | − | 1.00501i | ||||
\(206\) | 11.9662 | + | 20.7261i | 0.833727 | + | 1.44406i | ||||
\(207\) | 0.343677 | − | 0.744547i | 0.0238872 | − | 0.0517496i | ||||
\(208\) | 2.16372 | − | 3.74766i | 0.150027 | − | 0.259854i | ||||
\(209\) | −9.15126 | + | 15.8505i | −0.633006 | + | 1.09640i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −2.28074 | − | 3.95035i | −0.157012 | − | 0.271954i | 0.776778 | − | 0.629775i | \(-0.216853\pi\) |
−0.933790 | + | 0.357822i | \(0.883520\pi\) | |||||||
\(212\) | −25.4327 | −1.74672 | ||||||||
\(213\) | −3.05555 | − | 4.77577i | −0.209363 | − | 0.327231i | ||||
\(214\) | 3.38151 | 0.231156 | ||||||||
\(215\) | 13.5328 | − | 23.4395i | 0.922928 | − | 1.59856i | ||||
\(216\) | −26.0167 | + | 3.57935i | −1.77021 | + | 0.243544i | ||||
\(217\) | 0 | 0 | ||||||||
\(218\) | −4.18190 | + | 7.24327i | −0.283234 | + | 0.490576i | ||||
\(219\) | −1.20107 | + | 2.31821i | −0.0811611 | + | 0.156650i | ||||
\(220\) | −23.7345 | + | 41.1094i | −1.60018 | + | 2.77160i | ||||
\(221\) | 0.472958 | − | 0.819187i | 0.0318146 | − | 0.0551045i | ||||
\(222\) | 4.08998 | + | 6.39258i | 0.274502 | + | 0.429042i | ||||
\(223\) | 6.66225 | − | 11.5394i | 0.446137 | − | 0.772733i | −0.551993 | − | 0.833849i | \(-0.686133\pi\) |
0.998131 | + | 0.0611159i | \(0.0194659\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −2.17091 | + | 4.70310i | −0.144727 | + | 0.313540i | ||||
\(226\) | 12.7807 | − | 22.1369i | 0.850162 | − | 1.47252i | ||||
\(227\) | −1.38151 | −0.0916943 | −0.0458472 | − | 0.998948i | \(-0.514599\pi\) | ||||
−0.0458472 | + | 0.998948i | \(0.514599\pi\) | |||||||
\(228\) | −13.0957 | + | 25.2763i | −0.867285 | + | 1.67396i | ||||
\(229\) | 17.9794 | 1.18811 | 0.594055 | − | 0.804424i | \(-0.297526\pi\) | ||||
0.594055 | + | 0.804424i | \(0.297526\pi\) | |||||||
\(230\) | −0.872181 | − | 1.51066i | −0.0575099 | − | 0.0996101i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 6.21780 | − | 10.7695i | 0.408219 | − | 0.707055i | ||||
\(233\) | 9.49115 | − | 16.4391i | 0.621786 | − | 1.07696i | −0.367367 | − | 0.930076i | \(-0.619741\pi\) |
0.989153 | − | 0.146888i | \(-0.0469258\pi\) | |||||||
\(234\) | −4.25729 | − | 6.03011i | −0.278308 | − | 0.394200i | ||||
\(235\) | −15.7719 | − | 27.3177i | −1.02884 | − | 1.78201i | ||||
\(236\) | −5.52704 | − | 9.57312i | −0.359780 | − | 0.623157i | ||||
\(237\) | −11.7199 | + | 22.6208i | −0.761292 | + | 1.46938i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −2.44592 | − | 4.23645i | −0.158213 | − | 0.274033i | 0.776011 | − | 0.630719i | \(-0.217240\pi\) |
−0.934224 | + | 0.356686i | \(0.883907\pi\) | |||||||
\(240\) | −8.94280 | + | 17.2606i | −0.577255 | + | 1.11417i | ||||
\(241\) | 26.1593 | 1.68507 | 0.842535 | − | 0.538641i | \(-0.181062\pi\) | ||||
0.842535 | + | 0.538641i | \(0.181062\pi\) | |||||||
\(242\) | 11.5416 | + | 19.9907i | 0.741924 | + | 1.28505i | ||||
\(243\) | −4.54309 | + | 14.9118i | −0.291440 | + | 0.956589i | ||||
\(244\) | 9.21634 | 0.590016 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | −27.2740 | + | 1.24383i | −1.73893 | + | 0.0793039i | ||||
\(247\) | −4.05408 | −0.257955 | ||||||||
\(248\) | −5.88151 | + | 10.1871i | −0.373477 | + | 0.646880i | ||||
\(249\) | 1.63667 | − | 0.0746406i | 0.103720 | − | 0.00473015i | ||||
\(250\) | −10.4445 | − | 18.0903i | −0.660565 | − | 1.14413i | ||||
\(251\) | −18.4576 | −1.16503 | −0.582516 | − | 0.812819i | \(-0.697932\pi\) | ||||
−0.582516 | + | 0.812819i | \(0.697932\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −1.23405 | −0.0775838 | ||||||||
\(254\) | 0.827430 | + | 1.43315i | 0.0519176 | + | 0.0899239i | ||||
\(255\) | −1.95477 | + | 3.77293i | −0.122412 | + | 0.236270i | ||||
\(256\) | 16.1804 | − | 28.0253i | 1.01128 | − | 1.75158i | ||||
\(257\) | 11.7339 | 0.731938 | 0.365969 | − | 0.930627i | \(-0.380738\pi\) | ||||
0.365969 | + | 0.930627i | \(0.380738\pi\) | |||||||
\(258\) | −23.9684 | − | 37.4622i | −1.49221 | − | 2.33230i | ||||
\(259\) | 0 | 0 | ||||||||
\(260\) | −10.5146 | −0.652087 | ||||||||
\(261\) | −4.25729 | − | 6.03011i | −0.263520 | − | 0.373254i | ||||
\(262\) | −9.73599 | − | 16.8632i | −0.601491 | − | 1.04181i | ||||
\(263\) | −7.52179 | −0.463813 | −0.231907 | − | 0.972738i | \(-0.574496\pi\) | ||||
−0.231907 | + | 0.972738i | \(0.574496\pi\) | |||||||
\(264\) | 21.2989 | + | 33.2899i | 1.31086 | + | 2.04885i | ||||
\(265\) | 8.13521 | + | 14.0906i | 0.499742 | + | 0.865579i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 24.8406 | − | 1.13285i | 1.52022 | − | 0.0693296i | ||||
\(268\) | 32.0620 | + | 55.5329i | 1.95850 | + | 3.39221i | ||||
\(269\) | −9.41741 | − | 16.3114i | −0.574190 | − | 0.994526i | −0.996129 | − | 0.0879017i | \(-0.971984\pi\) |
0.421939 | − | 0.906624i | \(-0.361349\pi\) | |||||||
\(270\) | 20.3389 | + | 26.1891i | 1.23779 | + | 1.59382i | ||||
\(271\) | −11.9911 | + | 20.7693i | −0.728410 | + | 1.26164i | 0.229145 | + | 0.973392i | \(0.426407\pi\) |
−0.957555 | + | 0.288251i | \(0.906926\pi\) | |||||||
\(272\) | −2.04669 | + | 3.54498i | −0.124099 | + | 0.214946i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −4.51819 | − | 7.82573i | −0.272954 | − | 0.472770i | ||||
\(275\) | 7.79513 | 0.470064 | ||||||||
\(276\) | −1.91741 | + | 0.0874436i | −0.115415 | + | 0.00526349i | ||||
\(277\) | 7.16225 | 0.430338 | 0.215169 | − | 0.976577i | \(-0.430970\pi\) | ||||
0.215169 | + | 0.976577i | \(0.430970\pi\) | |||||||
\(278\) | 2.52704 | − | 4.37697i | 0.151562 | − | 0.262513i | ||||
\(279\) | 4.02704 | + | 5.70397i | 0.241093 | + | 0.341488i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −7.44085 | + | 12.8879i | −0.443884 | + | 0.768830i | −0.997974 | − | 0.0636271i | \(-0.979733\pi\) |
0.554090 | + | 0.832457i | \(0.313067\pi\) | |||||||
\(282\) | −51.7783 | + | 2.36135i | −3.08335 | + | 0.140616i | ||||
\(283\) | 9.99854 | − | 17.3180i | 0.594351 | − | 1.02945i | −0.399287 | − | 0.916826i | \(-0.630742\pi\) |
0.993638 | − | 0.112621i | \(-0.0359245\pi\) | |||||||
\(284\) | −6.63521 | + | 11.4925i | −0.393727 | + | 0.681956i | ||||
\(285\) | 18.1929 | − | 0.829688i | 1.07765 | − | 0.0491465i | ||||
\(286\) | −5.55408 | + | 9.61996i | −0.328420 | + | 0.568840i | ||||
\(287\) | 0 | 0 | ||||||||
\(288\) | 0.933463 | + | 1.32217i | 0.0550048 | + | 0.0779098i | ||||
\(289\) | 8.05262 | − | 13.9475i | 0.473684 | − | 0.820444i | ||||
\(290\) | −15.7017 | −0.922038 | ||||||||
\(291\) | 19.8801 | − | 0.906631i | 1.16539 | − | 0.0531476i | ||||
\(292\) | 6.11109 | 0.357625 | ||||||||
\(293\) | 7.53278 | + | 13.0472i | 0.440070 | + | 0.762223i | 0.997694 | − | 0.0678705i | \(-0.0216205\pi\) |
−0.557625 | + | 0.830093i | \(0.688287\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −3.53590 | + | 6.12435i | −0.205868 | + | 0.356574i | ||||
\(296\) | 4.50000 | − | 7.79423i | 0.261557 | − | 0.453030i | ||||
\(297\) | 23.2396 | − | 3.19727i | 1.34850 | − | 0.185525i | ||||
\(298\) | −16.6623 | − | 28.8599i | −0.965218 | − | 1.67181i | ||||
\(299\) | −0.136673 | − | 0.236725i | −0.00790401 | − | 0.0136901i | ||||
\(300\) | 12.1118 | − | 0.552358i | 0.699273 | − | 0.0318904i | ||||
\(301\) | 0 | 0 | ||||||||
\(302\) | 12.2142 | + | 21.1556i | 0.702848 | + | 1.21737i | ||||
\(303\) | −3.43493 | − | 5.36874i | −0.197331 | − | 0.308426i | ||||
\(304\) | 17.5438 | 1.00620 | ||||||||
\(305\) | −2.94805 | − | 5.10618i | −0.168805 | − | 0.292379i | ||||
\(306\) | 4.02704 | + | 5.70397i | 0.230211 | + | 0.326075i | ||||
\(307\) | 27.2704 | 1.55641 | 0.778203 | − | 0.628013i | \(-0.216132\pi\) | ||||
0.778203 | + | 0.628013i | \(0.216132\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −9.07947 | − | 14.1911i | −0.516513 | − | 0.807302i | ||||
\(310\) | 14.8525 | 0.843567 | ||||||||
\(311\) | −7.99115 | + | 13.8411i | −0.453136 | + | 0.784855i | −0.998579 | − | 0.0532931i | \(-0.983028\pi\) |
0.545443 | + | 0.838148i | \(0.316362\pi\) | |||||||
\(312\) | −4.02704 | + | 7.77266i | −0.227986 | + | 0.440040i | ||||
\(313\) | 5.79893 | + | 10.0440i | 0.327775 | + | 0.567722i | 0.982070 | − | 0.188517i | \(-0.0603680\pi\) |
−0.654295 | + | 0.756239i | \(0.727035\pi\) | |||||||
\(314\) | 14.8961 | 0.840636 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 59.6313 | 3.35452 | ||||||||
\(317\) | 1.00885 | + | 1.74739i | 0.0566629 | + | 0.0981430i | 0.892965 | − | 0.450125i | \(-0.148621\pi\) |
−0.836303 | + | 0.548268i | \(0.815287\pi\) | |||||||
\(318\) | 26.7075 | − | 1.21800i | 1.49768 | − | 0.0683018i | ||||
\(319\) | −5.55408 | + | 9.61996i | −0.310969 | + | 0.538614i | ||||
\(320\) | −19.0043 | −1.06237 | ||||||||
\(321\) | −2.37792 | + | 0.108445i | −0.132722 | + | 0.00605281i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 3.83482 | 0.213375 | ||||||||
\(324\) | 35.8822 | − | 6.61454i | 1.99345 | − | 0.367474i | ||||
\(325\) | 0.863327 | + | 1.49533i | 0.0478888 | + | 0.0829458i | ||||
\(326\) | −43.8391 | −2.42802 | ||||||||
\(327\) | 2.70847 | − | 5.22765i | 0.149779 | − | 0.289090i | ||||
\(328\) | 16.1893 | + | 28.0407i | 0.893904 | + | 1.54829i | ||||
\(329\) | 0 | 0 | ||||||||
\(330\) | 22.9554 | − | 44.3067i | 1.26366 | − | 2.43900i | ||||
\(331\) | 9.85447 | + | 17.0684i | 0.541651 | + | 0.938167i | 0.998809 | + | 0.0487815i | \(0.0155338\pi\) |
−0.457159 | + | 0.889385i | \(0.651133\pi\) | |||||||
\(332\) | −1.91741 | − | 3.32105i | −0.105232 | − | 0.182266i | ||||
\(333\) | −3.08113 | − | 4.36416i | −0.168845 | − | 0.239155i | ||||
\(334\) | 10.4174 | − | 18.0435i | 0.570015 | − | 0.987296i | ||||
\(335\) | 20.5115 | − | 35.5269i | 1.12066 | − | 1.94104i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 14.5256 | + | 25.1590i | 0.791259 | + | 1.37050i | 0.925188 | + | 0.379509i | \(0.123907\pi\) |
−0.133929 | + | 0.990991i | \(0.542759\pi\) | |||||||
\(338\) | 29.5261 | 1.60601 | ||||||||
\(339\) | −8.27762 | + | 15.9768i | −0.449579 | + | 0.867739i | ||||
\(340\) | 9.94592 | 0.539393 | ||||||||
\(341\) | 5.25370 | − | 9.09967i | 0.284504 | − | 0.492775i | ||||
\(342\) | 12.5416 | − | 27.1704i | 0.678174 | − | 1.46921i | ||||
\(343\) | 0 | 0 | ||||||||
\(344\) | −26.3712 | + | 45.6763i | −1.42184 | + | 2.46270i | ||||
\(345\) | 0.661774 | + | 1.03434i | 0.0356287 | + | 0.0556871i | ||||
\(346\) | −21.3530 | + | 36.9845i | −1.14794 | + | 1.98830i | ||||
\(347\) | −14.5416 | + | 25.1868i | −0.780636 | + | 1.35210i | 0.150936 | + | 0.988544i | \(0.451771\pi\) |
−0.931572 | + | 0.363557i | \(0.881562\pi\) | |||||||
\(348\) | −7.94805 | + | 15.3407i | −0.426060 | + | 0.822346i | ||||
\(349\) | 12.3815 | − | 21.4454i | 0.662767 | − | 1.14795i | −0.317118 | − | 0.948386i | \(-0.602715\pi\) |
0.979885 | − | 0.199561i | \(-0.0639515\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 3.18716 | + | 4.10390i | 0.170118 | + | 0.219050i | ||||
\(352\) | 1.21780 | − | 2.10929i | 0.0649089 | − | 0.112426i | ||||
\(353\) | 33.3025 | 1.77251 | 0.886257 | − | 0.463193i | \(-0.153296\pi\) | ||||
0.886257 | + | 0.463193i | \(0.153296\pi\) | |||||||
\(354\) | 6.26255 | + | 9.78827i | 0.332851 | + | 0.520241i | ||||
\(355\) | 8.48968 | 0.450586 | ||||||||
\(356\) | −29.1015 | − | 50.4052i | −1.54237 | − | 2.67147i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −13.9626 | + | 24.1840i | −0.737949 | + | 1.27816i | ||||
\(359\) | −12.7683 | + | 22.1153i | −0.673884 | + | 1.16720i | 0.302909 | + | 0.953019i | \(0.402042\pi\) |
−0.976794 | + | 0.214182i | \(0.931291\pi\) | |||||||
\(360\) | 16.4808 | − | 35.7043i | 0.868616 | − | 1.88178i | ||||
\(361\) | 1.28220 | + | 2.22084i | 0.0674842 | + | 0.116886i | ||||
\(362\) | −26.9289 | − | 46.6422i | −1.41535 | − | 2.45146i | ||||
\(363\) | −8.75729 | − | 13.6875i | −0.459639 | − | 0.718409i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −1.95477 | − | 3.38576i | −0.102317 | − | 0.177219i | ||||
\(366\) | −9.67830 | + | 0.441380i | −0.505893 | + | 0.0230713i | ||||
\(367\) | −27.4504 | −1.43290 | −0.716449 | − | 0.697639i | \(-0.754234\pi\) | ||||
−0.716449 | + | 0.697639i | \(0.754234\pi\) | |||||||
\(368\) | 0.591443 | + | 1.02441i | 0.0308311 | + | 0.0534011i | ||||
\(369\) | 19.1395 | − | 1.74935i | 0.996362 | − | 0.0910676i | ||||
\(370\) | −11.3638 | −0.590776 | ||||||||
\(371\) | 0 | 0 | ||||||||
\(372\) | 7.51819 | − | 14.5110i | 0.389800 | − | 0.752359i | ||||
\(373\) | 16.3274 | 0.845402 | 0.422701 | − | 0.906269i | \(-0.361082\pi\) | ||||
0.422701 | + | 0.906269i | \(0.361082\pi\) | |||||||
\(374\) | 5.25370 | − | 9.09967i | 0.271662 | − | 0.470533i | ||||
\(375\) | 7.92480 | + | 12.3863i | 0.409235 | + | 0.639628i | ||||
\(376\) | 30.7345 | + | 53.2338i | 1.58501 | + | 2.74532i | ||||
\(377\) | −2.46050 | −0.126722 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 12.0364 | 0.618267 | 0.309134 | − | 0.951019i | \(-0.399961\pi\) | ||||
0.309134 | + | 0.951019i | \(0.399961\pi\) | |||||||
\(380\) | −21.3135 | − | 36.9161i | −1.09336 | − | 1.89376i | ||||
\(381\) | −0.627819 | − | 0.981271i | −0.0321641 | − | 0.0502721i | ||||
\(382\) | −0.863327 | + | 1.49533i | −0.0441716 | + | 0.0765075i | ||||
\(383\) | 12.4356 | 0.635429 | 0.317715 | − | 0.948186i | \(-0.397085\pi\) | ||||
0.317715 | + | 0.948186i | \(0.397085\pi\) | |||||||
\(384\) | −15.2252 | + | 29.3864i | −0.776957 | + | 1.49962i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | −29.8817 | −1.52094 | ||||||||
\(387\) | 18.0562 | + | 25.5752i | 0.917849 | + | 1.30006i | ||||
\(388\) | −23.2901 | − | 40.3396i | −1.18237 | − | 2.04793i | ||||
\(389\) | 20.6008 | 1.04450 | 0.522250 | − | 0.852792i | \(-0.325093\pi\) | ||||
0.522250 | + | 0.852792i | \(0.325093\pi\) | |||||||
\(390\) | 11.0416 | − | 0.503554i | 0.559115 | − | 0.0254985i | ||||
\(391\) | 0.129281 | + | 0.223922i | 0.00653803 | + | 0.0113242i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 7.38725 | + | 11.5462i | 0.372637 | + | 0.582427i | ||||
\(394\) | −20.1893 | − | 34.9689i | −1.01712 | − | 1.76171i | ||||
\(395\) | −19.0744 | − | 33.0378i | −0.959738 | − | 1.66231i | ||||
\(396\) | −31.6680 | − | 44.8551i | −1.59138 | − | 2.25405i | ||||
\(397\) | −11.8186 | + | 20.4704i | −0.593157 | + | 1.02738i | 0.400647 | + | 0.916233i | \(0.368785\pi\) |
−0.993804 | + | 0.111146i | \(0.964548\pi\) | |||||||
\(398\) | −27.9341 | + | 48.3833i | −1.40021 | + | 2.42524i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −3.73599 | − | 6.47092i | −0.186799 | − | 0.323546i | ||||
\(401\) | −2.56440 | −0.128060 | −0.0640300 | − | 0.997948i | \(-0.520395\pi\) | ||||
−0.0640300 | + | 0.997948i | \(0.520395\pi\) | |||||||
\(402\) | −36.3286 | − | 56.7810i | −1.81191 | − | 2.83198i | ||||
\(403\) | 2.32743 | 0.115938 | ||||||||
\(404\) | −7.45904 | + | 12.9194i | −0.371101 | + | 0.642766i | ||||
\(405\) | −15.1424 | − | 17.7642i | −0.752432 | − | 0.882710i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −4.01965 | + | 6.96224i | −0.199247 | + | 0.345105i | ||||
\(408\) | 3.80924 | − | 7.35228i | 0.188586 | − | 0.363992i | ||||
\(409\) | −17.1623 | + | 29.7259i | −0.848619 | + | 1.46985i | 0.0338223 | + | 0.999428i | \(0.489232\pi\) |
−0.882441 | + | 0.470423i | \(0.844101\pi\) | |||||||
\(410\) | 20.4413 | − | 35.4054i | 1.00953 | − | 1.74855i | ||||
\(411\) | 3.42821 | + | 5.35824i | 0.169101 | + | 0.264302i | ||||
\(412\) | −19.7163 | + | 34.1497i | −0.971354 | + | 1.68243i | ||||
\(413\) | 0 | 0 | ||||||||
\(414\) | 2.00933 | − | 0.183653i | 0.0987533 | − | 0.00902607i | ||||
\(415\) | −1.22665 | + | 2.12463i | −0.0602141 | + | 0.104294i | ||||
\(416\) | 0.539495 | 0.0264509 | ||||||||
\(417\) | −1.63667 | + | 3.15897i | −0.0801482 | + | 0.154695i | ||||
\(418\) | −45.0335 | −2.20266 | ||||||||
\(419\) | 2.02850 | + | 3.51347i | 0.0990989 | + | 0.171644i | 0.911312 | − | 0.411717i | \(-0.135071\pi\) |
−0.812213 | + | 0.583361i | \(0.801737\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 10.5344 | − | 18.2462i | 0.513417 | − | 0.889264i | −0.486462 | − | 0.873702i | \(-0.661713\pi\) |
0.999879 | − | 0.0155624i | \(-0.00495387\pi\) | |||||||
\(422\) | 5.61177 | − | 9.71987i | 0.273177 | − | 0.473156i | ||||
\(423\) | 36.3353 | − | 3.32105i | 1.76668 | − | 0.161475i | ||||
\(424\) | −15.8530 | − | 27.4582i | −0.769890 | − | 1.33349i | ||||
\(425\) | −0.816635 | − | 1.41445i | −0.0396126 | − | 0.0686110i | ||||
\(426\) | 6.41741 | − | 12.3863i | 0.310925 | − | 0.600121i | ||||
\(427\) | 0 | 0 | ||||||||
\(428\) | 2.78580 | + | 4.82515i | 0.134657 | + | 0.233232i | ||||
\(429\) | 3.59718 | − | 6.94297i | 0.173673 | − | 0.335210i | ||||
\(430\) | 66.5949 | 3.21149 | ||||||||
\(431\) | −11.3092 | − | 19.5882i | −0.544747 | − | 0.943530i | −0.998623 | − | 0.0524646i | \(-0.983292\pi\) |
0.453876 | − | 0.891065i | \(-0.350041\pi\) | |||||||
\(432\) | −13.7922 | − | 17.7594i | −0.663578 | − | 0.854447i | ||||
\(433\) | −2.41789 | −0.116196 | −0.0580982 | − | 0.998311i | \(-0.518504\pi\) | ||||
−0.0580982 | + | 0.998311i | \(0.518504\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 11.0416 | − | 0.503554i | 0.529406 | − | 0.0241436i | ||||
\(436\) | −13.7807 | −0.659978 | ||||||||
\(437\) | 0.554084 | − | 0.959702i | 0.0265054 | − | 0.0459088i | ||||
\(438\) | −6.41741 | + | 0.292666i | −0.306636 | + | 0.0139841i | ||||
\(439\) | −11.7448 | − | 20.3427i | −0.560551 | − | 0.970902i | −0.997448 | − | 0.0713911i | \(-0.977256\pi\) |
0.436898 | − | 0.899511i | \(-0.356077\pi\) | |||||||
\(440\) | −59.1780 | −2.82120 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 2.32743 | 0.110705 | ||||||||
\(443\) | 6.70895 | + | 11.6202i | 0.318752 | + | 0.552094i | 0.980228 | − | 0.197872i | \(-0.0634031\pi\) |
−0.661476 | + | 0.749966i | \(0.730070\pi\) | |||||||
\(444\) | −5.75223 | + | 11.1025i | −0.272989 | + | 0.526900i | ||||
\(445\) | −18.6175 | + | 32.2465i | −0.882554 | + | 1.52863i | ||||
\(446\) | 32.7850 | 1.55242 | ||||||||
\(447\) | 12.6426 | + | 19.7602i | 0.597975 | + | 0.934625i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −9.16225 | −0.432393 | −0.216197 | − | 0.976350i | \(-0.569365\pi\) | ||||
−0.216197 | + | 0.976350i | \(0.569365\pi\) | |||||||
\(450\) | −12.6924 | + | 1.16009i | −0.598326 | + | 0.0546871i | ||||
\(451\) | −14.4612 | − | 25.0475i | −0.680950 | − | 1.17944i | ||||
\(452\) | 42.1167 | 1.98100 | ||||||||
\(453\) | −9.26761 | − | 14.4851i | −0.435430 | − | 0.680571i | ||||
\(454\) | −1.69961 | − | 2.94381i | −0.0797667 | − | 0.138160i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −35.4523 | + | 1.61680i | −1.66021 | + | 0.0757138i | ||||
\(457\) | −4.40856 | − | 7.63584i | −0.206224 | − | 0.357190i | 0.744298 | − | 0.667847i | \(-0.232784\pi\) |
−0.950522 | + | 0.310658i | \(0.899451\pi\) | |||||||
\(458\) | 22.1192 | + | 38.3115i | 1.03356 | + | 1.79018i | ||||
\(459\) | −3.01478 | − | 3.88195i | −0.140718 | − | 0.181194i | ||||
\(460\) | 1.43706 | − | 2.48906i | 0.0670033 | − | 0.116053i | ||||
\(461\) | −2.82957 | + | 4.90095i | −0.131786 | + | 0.228260i | −0.924365 | − | 0.381509i | \(-0.875405\pi\) |
0.792579 | + | 0.609769i | \(0.208738\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −7.86333 | − | 13.6197i | −0.365440 | − | 0.632960i | 0.623407 | − | 0.781898i | \(-0.285748\pi\) |
−0.988847 | + | 0.148937i | \(0.952415\pi\) | |||||||
\(464\) | 10.6477 | 0.494305 | ||||||||
\(465\) | −10.4445 | + | 0.476320i | −0.484350 | + | 0.0220888i | ||||
\(466\) | 46.7060 | 2.16361 | ||||||||
\(467\) | −10.9985 | + | 19.0500i | −0.508952 | + | 0.881530i | 0.490995 | + | 0.871163i | \(0.336633\pi\) |
−0.999946 | + | 0.0103675i | \(0.996700\pi\) | |||||||
\(468\) | 5.09718 | − | 11.0426i | 0.235617 | − | 0.510445i | ||||
\(469\) | 0 | 0 | ||||||||
\(470\) | 38.8068 | − | 67.2153i | 1.79002 | − | 3.10041i | ||||
\(471\) | −10.4751 | + | 0.477717i | −0.482667 | + | 0.0220120i | ||||
\(472\) | 6.89037 | − | 11.9345i | 0.317155 | − | 0.549328i | ||||
\(473\) | 23.5562 | − | 40.8006i | 1.08312 | − | 1.87601i | ||||
\(474\) | −62.6203 | + | 2.85580i | −2.87625 | + | 0.131171i | ||||
\(475\) | −3.50000 | + | 6.06218i | −0.160591 | + | 0.278152i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −18.7419 | + | 1.71301i | −0.858133 | + | 0.0784336i | ||||
\(478\) | 6.01819 | − | 10.4238i | 0.275265 | − | 0.476774i | ||||
\(479\) | −24.9751 | −1.14114 | −0.570571 | − | 0.821249i | \(-0.693278\pi\) | ||||
−0.570571 | + | 0.821249i | \(0.693278\pi\) | |||||||
\(480\) | −2.42101 | + | 0.110410i | −0.110503 | + | 0.00503952i | ||||
\(481\) | −1.78074 | −0.0811947 | ||||||||
\(482\) | 32.1826 | + | 55.7419i | 1.46588 | + | 2.53897i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −19.0167 | + | 32.9379i | −0.864397 | + | 1.49718i | ||||
\(485\) | −14.8997 | + | 25.8070i | −0.676561 | + | 1.17184i | ||||
\(486\) | −37.3640 | + | 8.66452i | −1.69487 | + | 0.393031i | ||||
\(487\) | 8.79893 | + | 15.2402i | 0.398717 | + | 0.690599i | 0.993568 | − | 0.113238i | \(-0.0361221\pi\) |
−0.594851 | + | 0.803836i | \(0.702789\pi\) | |||||||
\(488\) | 5.74484 | + | 9.95036i | 0.260057 | + | 0.450432i | ||||
\(489\) | 30.8281 | − | 1.40592i | 1.39410 | − | 0.0635778i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −6.89757 | − | 11.9469i | −0.311283 | − | 0.539158i | 0.667358 | − | 0.744737i | \(-0.267425\pi\) |
−0.978640 | + | 0.205580i | \(0.934092\pi\) | |||||||
\(492\) | −24.2441 | − | 37.8931i | −1.09301 | − | 1.70835i | ||||
\(493\) | 2.32743 | 0.104822 | ||||||||
\(494\) | −4.98755 | − | 8.63868i | −0.224400 | − | 0.388673i | ||||
\(495\) | −14.7216 | + | 31.8931i | −0.661686 | + | 1.43349i | ||||
\(496\) | −10.0718 | −0.452237 | ||||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | 2.17257 | + | 3.39569i | 0.0973552 | + | 0.152165i | ||||
\(499\) | 13.0875 | 0.585879 | 0.292939 | − | 0.956131i | \(-0.405367\pi\) | ||||
0.292939 | + | 0.956131i | \(0.405367\pi\) | |||||||
\(500\) | 17.2089 | − | 29.8068i | 0.769607 | − | 1.33300i | ||||
\(501\) | −6.74698 | + | 13.0225i | −0.301433 | + | 0.581800i | ||||
\(502\) | −22.7075 | − | 39.3305i | −1.01348 | − | 1.75541i | ||||
\(503\) | 22.3068 | 0.994611 | 0.497305 | − | 0.867576i | \(-0.334323\pi\) | ||||
0.497305 | + | 0.867576i | \(0.334323\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 9.54377 | 0.424692 | ||||||||
\(506\) | −1.51819 | − | 2.62958i | −0.0674917 | − | 0.116899i | ||||
\(507\) | −20.7630 | + | 0.946899i | −0.922119 | + | 0.0420533i | ||||
\(508\) | −1.36333 | + | 2.36135i | −0.0604879 | + | 0.104768i | ||||
\(509\) | 15.8932 | 0.704453 | 0.352226 | − | 0.935915i | \(-0.385425\pi\) | ||||
0.352226 | + | 0.935915i | \(0.385425\pi\) | |||||||
\(510\) | −10.4445 | + | 0.476320i | −0.462488 | + | 0.0210918i | ||||
\(511\) | 0 | 0 | ||||||||
\(512\) | 41.4078 | 1.82998 | ||||||||
\(513\) | −7.94805 | + | 19.5087i | −0.350915 | + | 0.861330i | ||||
\(514\) | 14.4356 | + | 25.0032i | 0.636727 | + | 1.10284i | ||||
\(515\) | 25.2268 | 1.11163 | ||||||||
\(516\) | 33.7096 | − | 65.0635i | 1.48398 | − | 2.86426i | ||||
\(517\) | −27.4538 | − | 47.5514i | −1.20742 | − | 2.09131i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 13.8296 | − | 26.6927i | 0.607051 | − | 1.17168i | ||||
\(520\) | −6.55408 | − | 11.3520i | −0.287416 | − | 0.497818i | ||||
\(521\) | 2.20895 | + | 3.82600i | 0.0967756 | + | 0.167620i | 0.910348 | − | 0.413843i | \(-0.135814\pi\) |
−0.813573 | + | 0.581463i | \(0.802480\pi\) | |||||||
\(522\) | 7.61177 | − | 16.4903i | 0.333158 | − | 0.721759i | ||||
\(523\) | 12.6367 | − | 21.8874i | 0.552563 | − | 0.957067i | −0.445526 | − | 0.895269i | \(-0.646983\pi\) |
0.998089 | − | 0.0617982i | \(-0.0196835\pi\) | |||||||
\(524\) | 16.0416 | − | 27.7849i | 0.700782 | − | 1.21379i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −9.25370 | − | 16.0279i | −0.403480 | − | 0.698848i | ||||
\(527\) | −2.20155 | −0.0959012 | ||||||||
\(528\) | −15.5665 | + | 30.0452i | −0.677447 | + | 1.30755i | ||||
\(529\) | −22.9253 | −0.996751 | ||||||||
\(530\) | −20.0167 | + | 34.6700i | −0.869471 | + | 1.50597i | ||||
\(531\) | −4.71780 | − | 6.68238i | −0.204735 | − | 0.289990i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 3.20321 | − | 5.54812i | 0.138746 | − | 0.240316i | ||||
\(534\) | 32.9741 | + | 51.5380i | 1.42693 | + | 2.23027i | ||||
\(535\) | 1.78220 | − | 3.08686i | 0.0770513 | − | 0.133457i | ||||
\(536\) | −39.9705 | + | 69.2310i | −1.72646 | + | 2.99032i | ||||
\(537\) | 9.04309 | − | 17.4542i | 0.390238 | − | 0.753205i | ||||
\(538\) | 23.1716 | − | 40.1344i | 0.998998 | − | 1.73032i | ||||
\(539\) | 0 | 0 | ||||||||
\(540\) | −20.6139 | + | 50.5974i | −0.887081 | + | 2.17736i | ||||
\(541\) | 1.71926 | − | 2.97785i | 0.0739168 | − | 0.128028i | −0.826698 | − | 0.562646i | \(-0.809783\pi\) |
0.900615 | + | 0.434618i | \(0.143117\pi\) | |||||||
\(542\) | −59.0085 | −2.53463 | ||||||||
\(543\) | 20.4325 | + | 31.9357i | 0.876842 | + | 1.37049i | ||||
\(544\) | −0.510317 | −0.0218797 | ||||||||
\(545\) | 4.40808 | + | 7.63501i | 0.188821 | + | 0.327048i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 3.46410 | − | 6.00000i | 0.148114 | − | 0.256542i | −0.782416 | − | 0.622756i | \(-0.786013\pi\) |
0.930531 | + | 0.366214i | \(0.119346\pi\) | |||||||
\(548\) | 7.44445 | − | 12.8942i | 0.318011 | − | 0.550812i | ||||
\(549\) | 6.79173 | − | 0.620765i | 0.289864 | − | 0.0264936i | ||||
\(550\) | 9.58998 | + | 16.6103i | 0.408918 | + | 0.708267i | ||||
\(551\) | −4.98755 | − | 8.63868i | −0.212477 | − | 0.368020i | ||||
\(552\) | −1.28959 | − | 2.01561i | −0.0548887 | − | 0.0857902i | ||||
\(553\) | 0 | 0 | ||||||||
\(554\) | 8.81138 | + | 15.2618i | 0.374360 | + | 0.648410i | ||||
\(555\) | 7.99115 | − | 0.364437i | 0.339205 | − | 0.0154695i | ||||
\(556\) | 8.32743 | 0.353162 | ||||||||
\(557\) | −16.7917 | − | 29.0841i | −0.711488 | − | 1.23233i | −0.964298 | − | 0.264818i | \(-0.914688\pi\) |
0.252810 | − | 0.967516i | \(-0.418645\pi\) | |||||||
\(558\) | −7.20009 | + | 15.5984i | −0.304804 | + | 0.660333i | ||||
\(559\) | 10.4356 | 0.441379 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −3.40263 | + | 6.56747i | −0.143659 | + | 0.277279i | ||||
\(562\) | −36.6165 | −1.54457 | ||||||||
\(563\) | 21.2396 | − | 36.7880i | 0.895142 | − | 1.55043i | 0.0615128 | − | 0.998106i | \(-0.480407\pi\) |
0.833629 | − | 0.552325i | \(-0.186259\pi\) | |||||||
\(564\) | −46.0261 | − | 71.9380i | −1.93805 | − | 3.02914i | ||||
\(565\) | −13.4720 | − | 23.3341i | −0.566770 | − | 0.981675i | ||||
\(566\) | 49.2029 | 2.06815 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −16.5438 | −0.694161 | ||||||||
\(569\) | −5.20175 | − | 9.00969i | −0.218069 | − | 0.377706i | 0.736149 | − | 0.676820i | \(-0.236642\pi\) |
−0.954217 | + | 0.299114i | \(0.903309\pi\) | |||||||
\(570\) | 24.1498 | + | 37.7458i | 1.01152 | + | 1.58100i | ||||
\(571\) | −8.92480 | + | 15.4582i | −0.373491 | + | 0.646906i | −0.990100 | − | 0.140364i | \(-0.955173\pi\) |
0.616609 | + | 0.787270i | \(0.288506\pi\) | |||||||
\(572\) | −18.3025 | −0.765267 | ||||||||
\(573\) | 0.559145 | − | 1.07922i | 0.0233586 | − | 0.0450849i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −0.471974 | −0.0196827 | ||||||||
\(576\) | 9.21274 | − | 19.9586i | 0.383864 | − | 0.831609i | ||||
\(577\) | 5.97150 | + | 10.3429i | 0.248597 | + | 0.430582i | 0.963137 | − | 0.269013i | \(-0.0866973\pi\) |
−0.714540 | + | 0.699595i | \(0.753364\pi\) | |||||||
\(578\) | 39.6270 | 1.64827 | ||||||||
\(579\) | 21.0131 | − | 0.958305i | 0.873276 | − | 0.0398258i | ||||
\(580\) | −12.9356 | − | 22.4051i | −0.537122 | − | 0.930322i | ||||
\(581\) | 0 | 0 | ||||||||
\(582\) | 26.3894 | + | 41.2462i | 1.09388 | + | 1.70971i | ||||
\(583\) | 14.1608 | + | 24.5272i | 0.586480 | + | 1.01581i | ||||
\(584\) | 3.80924 | + | 6.59780i | 0.157628 | + | 0.273019i | ||||
\(585\) | −7.74844 | + | 0.708209i | −0.320359 | + | 0.0292808i | ||||
\(586\) | −18.5344 | + | 32.1026i | −0.765650 | + | 1.32615i | ||||
\(587\) | 11.9299 | − | 20.6631i | 0.492398 | − | 0.852859i | −0.507563 | − | 0.861614i | \(-0.669454\pi\) |
0.999962 | + | 0.00875568i | \(0.00278706\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 4.71780 | + | 8.17147i | 0.194394 | + | 0.336699i | ||||
\(590\) | −17.4002 | −0.716354 | ||||||||
\(591\) | 15.3188 | + | 23.9430i | 0.630130 | + | 0.984884i | ||||
\(592\) | 7.70602 | 0.316715 | ||||||||
\(593\) | 9.79007 | − | 16.9569i | 0.402030 | − | 0.696336i | −0.591941 | − | 0.805981i | \(-0.701638\pi\) |
0.993971 | + | 0.109645i | \(0.0349714\pi\) | |||||||
\(594\) | 35.4035 | + | 45.5868i | 1.45262 | + | 1.87045i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 27.4538 | − | 47.5514i | 1.12455 | − | 1.94778i | ||||
\(597\) | 18.0919 | − | 34.9195i | 0.740453 | − | 1.42916i | ||||
\(598\) | 0.336285 | − | 0.582462i | 0.0137517 | − | 0.0238187i | ||||
\(599\) | −9.27335 | + | 16.0619i | −0.378899 | + | 0.656272i | −0.990902 | − | 0.134583i | \(-0.957030\pi\) |
0.612004 | + | 0.790855i | \(0.290364\pi\) | |||||||
\(600\) | 8.14601 | + | 12.7321i | 0.332559 | + | 0.519785i | ||||
\(601\) | −9.09931 | + | 15.7605i | −0.371169 | + | 0.642883i | −0.989746 | − | 0.142841i | \(-0.954376\pi\) |
0.618577 | + | 0.785724i | \(0.287710\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 27.3676 | + | 38.7640i | 1.11449 | + | 1.57859i | ||||
\(604\) | −20.1249 | + | 34.8573i | −0.818870 | + | 1.41832i | ||||
\(605\) | 24.3317 | 0.989224 | ||||||||
\(606\) | 7.21420 | − | 13.9242i | 0.293057 | − | 0.565634i | ||||
\(607\) | 22.3097 | 0.905524 | 0.452762 | − | 0.891631i | \(-0.350439\pi\) | ||||
0.452762 | + | 0.891631i | \(0.350439\pi\) | |||||||
\(608\) | 1.09358 | + | 1.89413i | 0.0443505 | + | 0.0768173i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 7.25370 | − | 12.5638i | 0.293694 | − | 0.508692i | ||||
\(611\) | 6.08113 | − | 10.5328i | 0.246016 | − | 0.426112i | ||||
\(612\) | −4.82150 | + | 10.4454i | −0.194898 | + | 0.422229i | ||||
\(613\) | −5.11849 | − | 8.86548i | −0.206734 | − | 0.358073i | 0.743950 | − | 0.668235i | \(-0.232950\pi\) |
−0.950684 | + | 0.310162i | \(0.899617\pi\) | |||||||
\(614\) | 33.5495 | + | 58.1094i | 1.35395 | + | 2.34511i | ||||
\(615\) | −13.2391 | + | 25.5530i | −0.533852 | + | 1.03040i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 5.66372 | + | 9.80984i | 0.228013 | + | 0.394929i | 0.957219 | − | 0.289364i | \(-0.0934439\pi\) |
−0.729206 | + | 0.684294i | \(0.760111\pi\) | |||||||
\(618\) | 19.0692 | − | 36.8057i | 0.767074 | − | 1.48054i | ||||
\(619\) | −8.63327 | −0.347000 | −0.173500 | − | 0.984834i | \(-0.555508\pi\) | ||||
−0.173500 | + | 0.984834i | \(0.555508\pi\) | |||||||
\(620\) | 12.2360 | + | 21.1934i | 0.491409 | + | 0.851145i | ||||
\(621\) | −1.40709 | + | 0.193586i | −0.0564647 | + | 0.00776835i | ||||
\(622\) | −39.3245 | −1.57677 | ||||||||
\(623\) | 0 | 0 | ||||||||
\(624\) | −7.48755 | + | 0.341470i | −0.299742 | + | 0.0136697i | ||||
\(625\) | −30.6519 | −1.22608 | ||||||||
\(626\) | −14.2683 | + | 24.7134i | −0.570275 | + | 0.987746i | ||||
\(627\) | 31.6680 | − | 1.44422i | 1.26470 | − | 0.0576766i | ||||
\(628\) | 12.2719 | + | 21.2555i | 0.489701 | + | 0.848188i | ||||
\(629\) | 1.68443 | 0.0671626 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −14.8535 | −0.591308 | −0.295654 | − | 0.955295i | \(-0.595538\pi\) | ||||
−0.295654 | + | 0.955295i | \(0.595538\pi\) | |||||||
\(632\) | 37.1701 | + | 64.3805i | 1.47855 | + | 2.56092i | ||||
\(633\) | −3.63454 | + | 7.01508i | −0.144460 | + | 0.278824i | ||||
\(634\) | −2.48229 | + | 4.29945i | −0.0985844 | + | 0.170753i | ||||
\(635\) | 1.74436 | 0.0692229 | ||||||||
\(636\) | 23.7405 | + | 37.1060i | 0.941370 | + | 1.47135i | ||||
\(637\) | 0 | 0 | ||||||||
\(638\) | −27.3317 | −1.08207 | ||||||||
\(639\) | −4.11556 | + | 8.91601i | −0.162809 | + | 0.352712i | ||||
\(640\) | −24.7793 | − | 42.9190i | −0.979487 | − | 1.69652i | ||||
\(641\) | −34.1593 | −1.34921 | −0.674606 | − | 0.738178i | \(-0.735687\pi\) | ||||
−0.674606 | + | 0.738178i | \(0.735687\pi\) | |||||||
\(642\) | −3.15652 | − | 4.93359i | −0.124578 | − | 0.194713i | ||||
\(643\) | −5.41741 | − | 9.38323i | −0.213642 | − | 0.370039i | 0.739210 | − | 0.673475i | \(-0.235199\pi\) |
−0.952852 | + | 0.303437i | \(0.901866\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −46.8302 | + | 2.13570i | −1.84394 | + | 0.0840929i | ||||
\(646\) | 4.71780 | + | 8.17147i | 0.185619 | + | 0.321502i | ||||
\(647\) | 16.4846 | + | 28.5522i | 0.648077 | + | 1.12250i | 0.983582 | + | 0.180464i | \(0.0577600\pi\) |
−0.335504 | + | 0.942039i | \(0.608907\pi\) | |||||||
\(648\) | 29.5079 | + | 34.6169i | 1.15918 | + | 1.35988i | ||||
\(649\) | −6.15486 | + | 10.6605i | −0.241599 | + | 0.418462i | ||||
\(650\) | −2.12422 | + | 3.67926i | −0.0833188 | + | 0.144312i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −36.1160 | − | 62.5548i | −1.41441 | − | 2.44984i | ||||
\(653\) | −3.93113 | −0.153837 | −0.0769185 | − | 0.997037i | \(-0.524508\pi\) | ||||
−0.0769185 | + | 0.997037i | \(0.524508\pi\) | |||||||
\(654\) | 14.4715 | − | 0.659973i | 0.565880 | − | 0.0258070i | ||||
\(655\) | −20.5251 | −0.801982 | ||||||||
\(656\) | −13.8617 | + | 24.0091i | −0.541207 | + | 0.937399i | ||||
\(657\) | 4.50340 | − | 0.411612i | 0.175695 | − | 0.0160585i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −8.40856 | + | 14.5640i | −0.327551 | + | 0.567335i | −0.982025 | − | 0.188749i | \(-0.939557\pi\) |
0.654474 | + | 0.756084i | \(0.272890\pi\) | |||||||
\(660\) | 82.1334 | − | 3.74570i | 3.19704 | − | 0.145801i | ||||
\(661\) | −8.51080 | + | 14.7411i | −0.331032 | + | 0.573364i | −0.982714 | − | 0.185128i | \(-0.940730\pi\) |
0.651683 | + | 0.758492i | \(0.274063\pi\) | |||||||
\(662\) | −24.2470 | + | 41.9970i | −0.942386 | + | 1.63226i | ||||
\(663\) | −1.63667 | + | 0.0746406i | −0.0635631 | + | 0.00289880i | ||||
\(664\) | 2.39037 | − | 4.14024i | 0.0927643 | − | 0.160672i | ||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 5.50885 | − | 11.9345i | 0.213464 | − | 0.462451i | ||||
\(667\) | 0.336285 | − | 0.582462i | 0.0130210 | − | 0.0225530i | ||||
\(668\) | 34.3288 | 1.32822 | ||||||||
\(669\) | −23.0548 | + | 1.05141i | −0.891348 | + | 0.0406500i | ||||
\(670\) | 100.937 | 3.89954 | ||||||||
\(671\) | −5.13161 | − | 8.88821i | −0.198104 | − | 0.343126i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −14.3727 | + | 24.8942i | −0.554025 | + | 0.959600i | 0.443953 | + | 0.896050i | \(0.353576\pi\) |
−0.997979 | + | 0.0635501i | \(0.979758\pi\) | |||||||
\(674\) | −35.7403 | + | 61.9039i | −1.37666 | + | 2.38445i | ||||
\(675\) | 8.88823 | − | 1.22283i | 0.342108 | − | 0.0470668i | ||||
\(676\) | 24.3245 | + | 42.1313i | 0.935558 | + | 1.62043i | ||||
\(677\) | −3.01819 | − | 5.22765i | −0.115998 | − | 0.200915i | 0.802180 | − | 0.597082i | \(-0.203673\pi\) |
−0.918178 | + | 0.396167i | \(0.870340\pi\) | |||||||
\(678\) | −44.2278 | + | 2.01701i | −1.69856 | + | 0.0774628i | ||||
\(679\) | 0 | 0 | ||||||||
\(680\) | 6.19961 | + | 10.7380i | 0.237744 | + | 0.411785i | ||||
\(681\) | 1.28959 | + | 2.01561i | 0.0494173 | + | 0.0772385i | ||||
\(682\) | 25.8535 | 0.989981 | ||||||||
\(683\) | −10.2556 | − | 17.7633i | −0.392421 | − | 0.679693i | 0.600347 | − | 0.799739i | \(-0.295029\pi\) |
−0.992768 | + | 0.120046i | \(0.961696\pi\) | |||||||
\(684\) | 49.1021 | − | 4.48794i | 1.87747 | − | 0.171601i | ||||
\(685\) | −9.52510 | −0.363935 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −16.7831 | − | 26.2317i | −0.640314 | − | 1.00080i | ||||
\(688\) | −45.1593 | −1.72168 | ||||||||
\(689\) | −3.13667 | + | 5.43288i | −0.119498 | + | 0.206976i | ||||
\(690\) | −1.38989 | + | 2.68265i | −0.0529122 | + | 0.102127i | ||||
\(691\) | −7.50146 | − | 12.9929i | −0.285369 | − | 0.494274i | 0.687330 | − | 0.726346i | \(-0.258783\pi\) |
−0.972699 | + | 0.232072i | \(0.925450\pi\) | |||||||
\(692\) | −70.3652 | −2.67488 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −71.5595 | −2.71636 | ||||||||
\(695\) | −2.66372 | − | 4.61369i | −0.101040 | − | 0.175007i | ||||
\(696\) | −21.5167 | + | 0.981271i | −0.815589 | + | 0.0371950i | ||||
\(697\) | −3.02997 | + | 5.24806i | −0.114768 | + | 0.198784i | ||||
\(698\) | 60.9296 | 2.30622 | ||||||||
\(699\) | −32.8442 | + | 1.49786i | −1.24228 | + | 0.0566542i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 38.5113 | 1.45455 | 0.727275 | − | 0.686346i | \(-0.240786\pi\) | ||||
0.727275 | + | 0.686346i | \(0.240786\pi\) | |||||||
\(702\) | −4.82383 | + | 11.8402i | −0.182064 | + | 0.446880i | ||||
\(703\) | −3.60963 | − | 6.25206i | −0.136140 | − | 0.235801i | ||||
\(704\) | −33.0803 | −1.24676 | ||||||||
\(705\) | −25.1337 | + | 48.5111i | −0.946592 | + | 1.82703i | ||||
\(706\) | 40.9705 | + | 70.9630i | 1.54195 | + | 2.67073i | ||||
\(707\) | 0 | 0 | ||||||||
\(708\) | −8.80778 | + | 17.0000i | −0.331017 | + | 0.638901i | ||||
\(709\) | −3.82004 | − | 6.61650i | −0.143465 | − | 0.248488i | 0.785334 | − | 0.619072i | \(-0.212491\pi\) |
−0.928799 | + | 0.370584i | \(0.879158\pi\) | |||||||
\(710\) | 10.4445 | + | 18.0903i | 0.391973 | + | 0.678918i | ||||
\(711\) | 43.9437 | − | 4.01646i | 1.64802 | − | 0.150629i | ||||
\(712\) | 36.2798 | − | 62.8384i | 1.35964 | − | 2.35497i | ||||
\(713\) | −0.318097 | + | 0.550960i | −0.0119128 | + | 0.0206336i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 5.85447 | + | 10.1402i | 0.218945 | + | 0.379224i | ||||
\(716\) | −46.0115 | −1.71953 | ||||||||
\(717\) | −3.89776 | + | 7.52313i | −0.145565 | + | 0.280956i | ||||
\(718\) | −62.8329 | −2.34490 | ||||||||
\(719\) | −15.0182 | + | 26.0123i | −0.560084 | + | 0.970094i | 0.437405 | + | 0.899265i | \(0.355898\pi\) |
−0.997488 | + | 0.0708289i | \(0.977436\pi\) | |||||||
\(720\) | 33.5308 | − | 3.06472i | 1.24962 | − | 0.114216i | ||||
\(721\) | 0 | 0 | ||||||||
\(722\) | −3.15486 | + | 5.46438i | −0.117412 | + | 0.203363i | ||||
\(723\) | −24.4188 | − | 38.1662i | −0.908143 | − | 1.41941i | ||||
\(724\) | 44.3697 | − | 76.8506i | 1.64899 | − | 2.85613i | ||||
\(725\) | −2.12422 | + | 3.67926i | −0.0788916 | + | 0.136644i | ||||
\(726\) | 18.3925 | − | 35.4997i | 0.682610 | − | 1.31752i | ||||
\(727\) | 1.72812 | − | 2.99319i | 0.0640923 | − | 0.111011i | −0.832199 | − | 0.554478i | \(-0.812918\pi\) |
0.896291 | + | 0.443466i | \(0.146251\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 25.9969 | − | 7.29124i | 0.962847 | − | 0.270046i | ||||
\(730\) | 4.80972 | − | 8.33068i | 0.178016 | − | 0.308332i | ||||
\(731\) | −9.87120 | −0.365099 | ||||||||
\(732\) | −8.60311 | − | 13.4465i | −0.317980 | − | 0.496998i | ||||
\(733\) | −38.5261 | −1.42299 | −0.711496 | − | 0.702690i | \(-0.751982\pi\) | ||||
−0.711496 | + | 0.702690i | \(0.751982\pi\) | |||||||
\(734\) | −33.7709 | − | 58.4929i | −1.24651 | − | 2.15901i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −0.0737345 | + | 0.127712i | −0.00271789 | + | 0.00470752i | ||||
\(737\) | 35.7039 | − | 61.8409i | 1.31517 | − | 2.27794i | ||||
\(738\) | 27.2740 | + | 38.6314i | 1.00397 | + | 1.42204i | ||||
\(739\) | −22.5620 | − | 39.0785i | −0.829955 | − | 1.43752i | −0.898073 | − | 0.439847i | \(-0.855033\pi\) |
0.0681179 | − | 0.997677i | \(-0.478301\pi\) | |||||||
\(740\) | −9.36186 | − | 16.2152i | −0.344149 | − | 0.596084i | ||||
\(741\) | 3.78434 | + | 5.91486i | 0.139021 | + | 0.217288i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −4.74338 | − | 8.21577i | −0.174018 | − | 0.301407i | 0.765803 | − | 0.643075i | \(-0.222342\pi\) |
−0.939821 | + | 0.341668i | \(0.889008\pi\) | |||||||
\(744\) | 20.3530 | − | 0.928200i | 0.746178 | − | 0.0340295i | ||||
\(745\) | −35.1268 | −1.28695 | ||||||||
\(746\) | 20.0869 | + | 34.7915i | 0.735432 | + | 1.27381i | ||||
\(747\) | −1.63667 | − | 2.31821i | −0.0598827 | − | 0.0848190i | ||||
\(748\) | 17.3126 | 0.633013 | ||||||||
\(749\) | 0 | 0 | ||||||||
\(750\) | −16.6441 | + | 32.1250i | −0.607755 | + | 1.17304i | ||||
\(751\) | −9.83190 | −0.358771 | −0.179386 | − | 0.983779i | \(-0.557411\pi\) | ||||
−0.179386 | + | 0.983779i | \(0.557411\pi\) | |||||||
\(752\) | −26.3157 | + | 45.5800i | −0.959633 | + | 1.66213i | ||||
\(753\) | 17.2295 | + | 26.9294i | 0.627877 | + | 0.981362i | ||||
\(754\) | −3.02704 | − | 5.24299i | −0.110238 | − | 0.190938i | ||||
\(755\) | 25.7496 | 0.937124 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −41.8171 | −1.51987 | −0.759934 | − | 0.650000i | \(-0.774769\pi\) | ||||
−0.759934 | + | 0.650000i | \(0.774769\pi\) | |||||||
\(758\) | 14.8078 | + | 25.6478i | 0.537843 | + | 0.931571i | ||||
\(759\) | 1.15194 | + | 1.80046i | 0.0418126 | + | 0.0653525i | ||||
\(760\) | 26.5708 | − | 46.0220i | 0.963825 | − | 1.66939i | ||||
\(761\) | −22.9794 | −0.833001 | −0.416501 | − | 0.909135i | \(-0.636744\pi\) | ||||
−0.416501 | + | 0.909135i | \(0.636744\pi\) | |||||||
\(762\) | 1.31858 | − | 2.54500i | 0.0477670 | − | 0.0921958i | ||||
\(763\) | 0 | 0 | ||||||||
\(764\) | −2.84494 | −0.102926 | ||||||||
\(765\) | 7.32937 | − | 0.669906i | 0.264994 | − | 0.0242205i | ||||
\(766\) | 15.2989 | + | 26.4985i | 0.552773 | + | 0.957430i | ||||
\(767\) | −2.72665 | −0.0984538 | ||||||||
\(768\) | −55.9925 | + | 2.55354i | −2.02046 | + | 0.0921429i | ||||
\(769\) | 3.04329 | + | 5.27113i | 0.109744 | + | 0.190082i | 0.915666 | − | 0.401939i | \(-0.131664\pi\) |
−0.805923 | + | 0.592021i | \(0.798330\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −10.9531 | − | 17.1196i | −0.394467 | − | 0.616546i | ||||
\(772\) | −24.6175 | − | 42.6388i | −0.886003 | − | 1.53460i | ||||
\(773\) | −20.9107 | − | 36.2184i | −0.752105 | − | 1.30268i | −0.946801 | − | 0.321821i | \(-0.895705\pi\) |
0.194695 | − | 0.980864i | \(-0.437628\pi\) | |||||||
\(774\) | −32.2834 | + | 69.9392i | −1.16040 | + | 2.51391i | ||||
\(775\) | 2.00933 | − | 3.48027i | 0.0721774 | − | 0.125015i | ||||
\(776\) | 29.0349 | − | 50.2899i | 1.04229 | − | 1.80530i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 25.3442 | + | 43.8974i | 0.908632 | + | 1.57380i | ||||
\(779\) | 25.9722 | 0.930550 | ||||||||
\(780\) | 9.81498 | + | 15.3407i | 0.351433 | + | 0.549284i | ||||
\(781\) | 14.7778 | 0.528792 | ||||||||
\(782\) | −0.318097 | + | 0.550960i | −0.0113751 | + | 0.0197023i | ||||
\(783\) | −4.82383 | + | 11.8402i | −0.172390 | + | 0.423135i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 7.85087 | − | 13.5981i | 0.280210 | − | 0.485337i | ||||
\(786\) | −15.5151 | + | 29.9459i | −0.553404 | + | 1.06813i | ||||
\(787\) | 16.1460 | − | 27.9657i | 0.575543 | − | 0.996870i | −0.420439 | − | 0.907321i | \(-0.638124\pi\) |
0.995982 | − | 0.0895491i | \(-0.0285426\pi\) | |||||||
\(788\) | 33.2652 | − | 57.6170i | 1.18502 | − | 2.05252i | ||||
\(789\) | 7.02131 | + | 10.9742i | 0.249965 | + | 0.390692i | ||||
\(790\) | 46.9327 | − | 81.2898i | 1.66979 | − | 2.89216i | ||||
\(791\) | 0 | 0 | ||||||||
\(792\) | 28.6878 | − | 62.1498i | 1.01938 | − | 2.20840i | ||||
\(793\) | 1.13667 | − | 1.96878i | 0.0403644 | − | 0.0699133i | ||||
\(794\) | −58.1593 | −2.06400 | ||||||||
\(795\) | 12.9641 | − | 25.0222i | 0.459789 | − | 0.887447i | ||||
\(796\) | −92.0521 | −3.26270 | ||||||||
\(797\) | 23.2829 | + | 40.3271i | 0.824722 | + | 1.42846i | 0.902132 | + | 0.431461i | \(0.142002\pi\) |
−0.0774101 | + | 0.996999i | \(0.524665\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −5.75223 | + | 9.96316i | −0.203499 | + | 0.352471i | ||||
\(800\) | 0.465761 | − | 0.806721i | 0.0164671 | − | 0.0285219i | ||||
\(801\) | −24.8406 | − | 35.1846i | −0.877698 | − | 1.24319i | ||||
\(802\) | −3.15486 | − | 5.46438i | −0.111402 | − | 0.192954i | ||||
\(803\) | −3.40263 | − | 5.89352i | −0.120076 | − | 0.207978i | ||||
\(804\) | 51.0933 | − | 98.6159i | 1.80192 | − | 3.47792i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 2.86333 | + | 4.95943i | 0.100856 | + | 0.174688i | ||||
\(807\) | −15.0074 | + | 28.9660i | −0.528285 | + | 1.01965i | ||||
\(808\) | −18.5979 | −0.654270 | ||||||||
\(809\) | 5.40116 | + | 9.35509i | 0.189895 | + | 0.328908i | 0.945215 | − | 0.326448i | \(-0.105852\pi\) |
−0.755320 | + | 0.655356i | \(0.772519\pi\) | |||||||
\(810\) | 19.2240 | − | 54.1208i | 0.675463 | − | 1.90161i | ||||
\(811\) | −5.58307 | −0.196048 | −0.0980240 | − | 0.995184i | \(-0.531252\pi\) | ||||
−0.0980240 | + | 0.995184i | \(0.531252\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 41.4954 | − | 1.89240i | 1.45531 | − | 0.0663694i | ||||
\(814\) | −19.7807 | −0.693315 | ||||||||
\(815\) | −23.1050 | + | 40.0191i | −0.809335 | + | 1.40181i | ||||
\(816\) | 7.08259 | − | 0.323002i | 0.247940 | − | 0.0113073i | ||||
\(817\) | 21.1534 | + | 36.6388i | 0.740064 | + | 1.28183i | ||||
\(818\) | −84.4556 | −2.95292 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 67.3609 | 2.35234 | ||||||||
\(821\) | 15.8940 | + | 27.5292i | 0.554703 | + | 0.960774i | 0.997927 | + | 0.0643630i | \(0.0205016\pi\) |
−0.443223 | + | 0.896411i | \(0.646165\pi\) | |||||||
\(822\) | −7.20009 | + | 13.8970i | −0.251132 | + | 0.484714i | ||||
\(823\) | 18.0000 | − | 31.1769i | 0.627441 | − | 1.08676i | −0.360623 | − | 0.932712i | \(-0.617436\pi\) |
0.988063 | − | 0.154047i | \(-0.0492308\pi\) | |||||||
\(824\) | −49.1593 | −1.71255 | ||||||||
\(825\) | −7.27647 | − | 11.3730i | −0.253334 | − | 0.395957i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 15.9224 | 0.553675 | 0.276837 | − | 0.960917i | \(-0.410714\pi\) | ||||
0.276837 | + | 0.960917i | \(0.410714\pi\) | |||||||
\(828\) | 1.91741 | + | 2.71586i | 0.0666346 | + | 0.0943825i | ||||
\(829\) | 17.7360 | + | 30.7196i | 0.615996 | + | 1.06694i | 0.990209 | + | 0.139594i | \(0.0445797\pi\) |
−0.374213 | + | 0.927343i | \(0.622087\pi\) | |||||||
\(830\) | −6.03638 | −0.209526 | ||||||||
\(831\) | −6.68570 | − | 10.4496i | −0.231924 | − | 0.362494i | ||||
\(832\) | −3.66372 | − | 6.34574i | −0.127016 | − | 0.219999i | ||||
\(833\) | 0 | 0 | ||||||||
\(834\) | −8.74484 | + | 0.398809i | −0.302809 | + | 0.0138096i | ||||
\(835\) | −10.9808 | − | 19.0194i | −0.380007 | − | 0.658192i | ||||
\(836\) | −37.1000 | − | 64.2591i | −1.28313 | − | 2.22245i | ||||
\(837\) | 4.56294 | − | 11.1999i | 0.157718 | − | 0.387124i | ||||
\(838\) | −4.99115 | + | 8.64492i | −0.172416 | + | 0.298634i | ||||
\(839\) | −27.3391 | + | 47.3527i | −0.943850 | + | 1.63480i | −0.185814 | + | 0.982585i | \(0.559492\pi\) |
−0.758037 | + | 0.652212i | \(0.773841\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 11.4730 | + | 19.8717i | 0.395619 | + | 0.685233i | ||||
\(842\) | 51.8401 | 1.78653 | ||||||||
\(843\) | 25.7491 | − | 1.17429i | 0.886847 | − | 0.0404447i | ||||
\(844\) | 18.4926 | 0.636542 | ||||||||
\(845\) | 15.5615 | − | 26.9533i | 0.535331 | − | 0.927221i | ||||
\(846\) | 51.7783 | + | 73.3397i | 1.78017 | + | 2.52147i | ||||
\(847\) | 0 | 0 | ||||||||
\(848\) | 13.5737 | − | 23.5104i | 0.466124 | − | 0.807350i | ||||
\(849\) | −34.6000 | + | 1.57793i | −1.18747 | + | 0.0541546i | ||||
\(850\) | 2.00933 | − | 3.48027i | 0.0689196 | − | 0.119372i | ||||
\(851\) | 0.243379 | − | 0.421545i | 0.00834292 | − | 0.0144504i | ||||
\(852\) | 22.9612 | − | 1.04715i | 0.786637 | − | 0.0358746i | ||||
\(853\) | −1.09884 | + | 1.90324i | −0.0376234 | + | 0.0651656i | −0.884224 | − | 0.467063i | \(-0.845312\pi\) |
0.846601 | + | 0.532229i | \(0.178645\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −18.1929 | − | 25.7687i | −0.622184 | − | 0.881272i | ||||
\(856\) | −3.47296 | + | 6.01534i | −0.118703 | + | 0.205600i | ||||
\(857\) | 15.7765 | 0.538914 | 0.269457 | − | 0.963012i | \(-0.413156\pi\) | ||||
0.269457 | + | 0.963012i | \(0.413156\pi\) | |||||||
\(858\) | 19.2199 | − | 0.876526i | 0.656158 | − | 0.0299241i | ||||
\(859\) | −5.57626 | −0.190260 | −0.0951298 | − | 0.995465i | \(-0.530327\pi\) | ||||
−0.0951298 | + | 0.995465i | \(0.530327\pi\) | |||||||
\(860\) | 54.8630 | + | 95.0255i | 1.87081 | + | 3.24034i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 27.8264 | − | 48.1968i | 0.947773 | − | 1.64159i | ||||
\(863\) | −11.5634 | + | 20.0284i | −0.393623 | + | 0.681776i | −0.992924 | − | 0.118748i | \(-0.962112\pi\) |
0.599301 | + | 0.800524i | \(0.295445\pi\) | |||||||
\(864\) | 1.05768 | − | 2.59611i | 0.0359831 | − | 0.0883215i | ||||
\(865\) | 22.5079 | + | 38.9848i | 0.765291 | + | 1.32552i | ||||
\(866\) | −2.97462 | − | 5.15218i | −0.101082 | − | 0.175078i | ||||
\(867\) | −27.8661 | + | 1.27084i | −0.946384 | + | 0.0431599i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −33.2024 | − | 57.5083i | −1.12631 | − | 1.95083i | ||||
\(870\) | 14.6570 | + | 22.9087i | 0.496919 | + | 0.776677i | ||||
\(871\) | 15.8171 | 0.535942 | ||||||||
\(872\) | −8.58998 | − | 14.8783i | −0.290893 | − | 0.503842i | ||||
\(873\) | −19.8801 | − | 28.1585i | −0.672838 | − | 0.953019i | ||||
\(874\) | 2.72665 | 0.0922304 | ||||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | −5.70448 | − | 8.91601i | −0.192736 | − | 0.301244i | ||||
\(877\) | 3.92528 | 0.132547 | 0.0662737 | − | 0.997801i | \(-0.478889\pi\) | ||||
0.0662737 | + | 0.997801i | \(0.478889\pi\) | |||||||
\(878\) | 28.8982 | − | 50.0532i | 0.975268 | − | 1.68921i | ||||
\(879\) | 12.0041 | − | 23.1693i | 0.404887 | − | 0.781480i | ||||
\(880\) | −25.3348 | − | 43.8812i | −0.854037 | − | 1.47923i | ||||
\(881\) | −27.1986 | −0.916345 | −0.458173 | − | 0.888863i | \(-0.651496\pi\) | ||||
−0.458173 | + | 0.888863i | \(0.651496\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 8.21341 | 0.276403 | 0.138202 | − | 0.990404i | \(-0.455868\pi\) | ||||
0.138202 | + | 0.990404i | \(0.455868\pi\) | |||||||
\(884\) | 1.91741 | + | 3.32105i | 0.0644895 | + | 0.111699i | ||||
\(885\) | 12.2360 | − | 0.558023i | 0.411308 | − | 0.0187577i | ||||
\(886\) | −16.5074 | + | 28.5916i | −0.554577 | + | 0.960555i | ||||
\(887\) | 6.48114 | 0.217615 | 0.108808 | − | 0.994063i | \(-0.465297\pi\) | ||||
0.108808 | + | 0.994063i | \(0.465297\pi\) | |||||||
\(888\) | −15.5723 | + | 0.710174i | −0.522571 | + | 0.0238319i | ||||
\(889\) | 0 | 0 | ||||||||
\(890\) | −91.6169 | −3.07101 | ||||||||
\(891\) | −26.3581 | − | 30.9218i | −0.883029 | − | 1.03592i | ||||
\(892\) | 27.0093 | + | 46.7815i | 0.904339 | + | 1.56636i | ||||
\(893\) | 49.3068 | 1.64999 | ||||||||
\(894\) | −26.5526 | + | 51.2496i | −0.888053 | + | 1.71404i | ||||
\(895\) | 14.7178 | + | 25.4920i | 0.491962 | + | 0.852103i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −0.217799 | + | 0.420378i | −0.00727211 | + | 0.0140360i | ||||
\(898\) | −11.2719 | − | 19.5235i | −0.376148 | − | 0.651507i | ||||
\(899\) | 2.86333 | + | 4.95943i | 0.0954973 | + | 0.165406i | ||||
\(900\) | −12.1118 | − | 17.1553i | −0.403726 | − | 0.571844i | ||||
\(901\) | 2.96703 | − | 5.13904i | 0.0988461 | − | 0.171206i | ||||
\(902\) | 35.5818 | − | 61.6295i | 1.18474 | − | 2.05204i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 26.2527 | + | 45.4710i | 0.873152 | + | 1.51234i | ||||
\(905\) | −56.7706 | −1.88712 | ||||||||
\(906\) | 19.4643 | − | 37.5684i | 0.646658 | − | 1.24813i | ||||
\(907\) | 10.1288 | 0.336321 | 0.168161 | − | 0.985760i | \(-0.446217\pi\) | ||||
0.168161 | + | 0.985760i | \(0.446217\pi\) | |||||||
\(908\) | 2.80039 | − | 4.85041i | 0.0929341 | − | 0.160967i | ||||
\(909\) | −4.62655 | + | 10.0230i | −0.153453 | + | 0.332443i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −22.9612 | + | 39.7699i | −0.760738 | + | 1.31764i | 0.181733 | + | 0.983348i | \(0.441829\pi\) |
−0.942471 | + | 0.334289i | \(0.891504\pi\) | |||||||
\(912\) | −16.3765 | − | 25.5962i | −0.542279 | − | 0.847573i | ||||
\(913\) | −2.13521 | + | 3.69829i | −0.0706652 | + | 0.122396i | ||||
\(914\) | 10.8473 | − | 18.7880i | 0.358796 | − | 0.621453i | ||||
\(915\) | −4.69795 | + | 9.06760i | −0.155310 | + | 0.299766i | ||||
\(916\) | −36.4449 | + | 63.1245i | −1.20417 | + | 2.08569i | ||||
\(917\) | 0 | 0 | ||||||||
\(918\) | 4.56294 | − | 11.1999i | 0.150599 | − | 0.369650i | ||||
\(919\) | 2.46216 | − | 4.26459i | 0.0812192 | − | 0.140676i | −0.822555 | − | 0.568686i | \(-0.807452\pi\) |
0.903774 | + | 0.428010i | \(0.140785\pi\) | |||||||
\(920\) | 3.58307 | 0.118130 | ||||||||
\(921\) | −25.4559 | − | 39.7872i | −0.838801 | − | 1.31103i | ||||
\(922\) | −13.9243 | −0.458573 | ||||||||
\(923\) | 1.63667 | + | 2.83480i | 0.0538718 | + | 0.0933086i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −1.53736 | + | 2.66278i | −0.0505481 | + | 0.0875518i | ||||
\(926\) | 19.3478 | − | 33.5113i | 0.635807 | − | 1.10125i | ||||
\(927\) | −12.2293 | + | 26.4937i | −0.401662 | + | 0.870167i | ||||
\(928\) | 0.663715 | + | 1.14959i | 0.0217875 | + | 0.0377371i | ||||
\(929\) | 0.00379324 | + | 0.00657009i | 0.000124452 | + | 0.000215558i | 0.866088 | − | 0.499892i | \(-0.166627\pi\) |
−0.865963 | + | 0.500108i | \(0.833294\pi\) | |||||||
\(930\) | −13.8643 | − | 21.6697i | −0.454628 | − | 0.710577i | ||||
\(931\) | 0 | 0 | ||||||||
\(932\) | 38.4779 | + | 66.6457i | 1.26039 | + | 2.18305i | ||||
\(933\) | 27.6534 | − | 1.26113i | 0.905332 | − | 0.0412877i | ||||
\(934\) | −54.1239 | −1.77099 | ||||||||
\(935\) | −5.53784 | − | 9.59182i | −0.181107 | − | 0.313686i | ||||
\(936\) | 15.0993 | − | 1.38008i | 0.493537 | − | 0.0451093i | ||||
\(937\) | −21.1623 | −0.691341 | −0.345670 | − | 0.938356i | \(-0.612348\pi\) | ||||
−0.345670 | + | 0.938356i | \(0.612348\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 9.24105 | − | 17.8363i | 0.301570 | − | 0.582066i | ||||
\(940\) | 127.881 | 4.17102 | ||||||||
\(941\) | 2.27908 | − | 3.94748i | 0.0742959 | − | 0.128684i | −0.826484 | − | 0.562960i | \(-0.809662\pi\) |
0.900780 | + | 0.434276i | \(0.142996\pi\) | |||||||
\(942\) | −13.9050 | − | 21.7332i | −0.453048 | − | 0.708107i | ||||
\(943\) | 0.875585 | + | 1.51656i | 0.0285130 | + | 0.0493859i | ||||
\(944\) | 11.7994 | 0.384038 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 115.920 | 3.76890 | ||||||||
\(947\) | −6.86760 | − | 11.8950i | −0.223167 | − | 0.386537i | 0.732601 | − | 0.680658i | \(-0.238306\pi\) |
−0.955768 | + | 0.294122i | \(0.904973\pi\) | |||||||
\(948\) | −55.6636 | − | 87.0014i | −1.80787 | − | 2.82567i | ||||
\(949\) | 0.753696 | − | 1.30544i | 0.0244660 | − | 0.0423764i | ||||
\(950\) | −17.2235 | −0.558805 | ||||||||
\(951\) | 1.60769 | − | 3.10303i | 0.0521329 | − | 0.100623i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 8.80699 | 0.285286 | 0.142643 | − | 0.989774i | \(-0.454440\pi\) | ||||
0.142643 | + | 0.989774i | \(0.454440\pi\) | |||||||
\(954\) | −26.7075 | − | 37.8290i | −0.864687 | − | 1.22476i | ||||
\(955\) | 0.910019 | + | 1.57620i | 0.0294475 | + | 0.0510046i | ||||
\(956\) | 19.8319 | 0.641409 | ||||||||
\(957\) | 19.2199 | − | 0.876526i | 0.621292 | − | 0.0283341i | ||||
\(958\) | −30.7257 | − | 53.2184i | −0.992701 | − | 1.71941i | ||||
\(959\) | 0 | 0 | ||||||||
\(960\) | 17.7398 | + | 27.7270i | 0.572549 | + | 0.894886i | ||||
\(961\) | 12.7915 | + | 22.1556i | 0.412630 | + | 0.714696i | ||||
\(962\) | −2.19076 | − | 3.79450i | −0.0706329 | − | 0.122340i | ||||
\(963\) | 2.37792 | + | 3.36812i | 0.0766273 | + | 0.108536i | ||||
\(964\) | −53.0261 | + | 91.8438i | −1.70785 | + | 2.95809i | ||||
\(965\) | −15.7489 | + | 27.2779i | −0.506976 | + | 0.878108i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −19.1642 | − | 33.1934i | −0.616279 | − | 1.06743i | −0.990159 | − | 0.139949i | \(-0.955306\pi\) |
0.373880 | − | 0.927477i | \(-0.378027\pi\) | |||||||
\(968\) | −47.4150 | −1.52397 | ||||||||
\(969\) | −3.57966 | − | 5.59496i | −0.114995 | − | 0.179736i | ||||
\(970\) | −73.3216 | −2.35421 | ||||||||
\(971\) | −15.5093 | + | 26.8630i | −0.497718 | + | 0.862073i | −0.999997 | − | 0.00263281i | \(-0.999162\pi\) |
0.502278 | + | 0.864706i | \(0.332495\pi\) | |||||||
\(972\) | −43.1452 | − | 46.1773i | −1.38388 | − | 1.48114i | ||||
\(973\) | 0 | 0 | ||||||||
\(974\) | −21.6498 | + | 37.4986i | −0.693704 | + | 1.20153i | ||||
\(975\) | 1.37578 | − | 2.65542i | 0.0440602 | − | 0.0850413i | ||||
\(976\) | −4.91887 | + | 8.51974i | −0.157449 | + | 0.272710i | ||||
\(977\) | 26.3712 | − | 45.6763i | 0.843689 | − | 1.46131i | −0.0430652 | − | 0.999072i | \(-0.513712\pi\) |
0.886755 | − | 0.462241i | \(-0.152954\pi\) | |||||||
\(978\) | 40.9222 | + | 63.9607i | 1.30855 | + | 2.04524i | ||||
\(979\) | −32.4071 | + | 56.1307i | −1.03574 | + | 1.79395i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −10.1553 | + | 0.928200i | −0.324235 | + | 0.0296351i | ||||
\(982\) | 16.9715 | − | 29.3955i | 0.541582 | − | 0.938048i | ||||
\(983\) | 18.3029 | 0.583772 | 0.291886 | − | 0.956453i | \(-0.405717\pi\) | ||||
0.291886 | + | 0.956453i | \(0.405717\pi\) | |||||||
\(984\) | 25.7989 | − | 49.7949i | 0.822440 | − | 1.58740i | ||||
\(985\) | −42.5624 | −1.35615 | ||||||||
\(986\) | 2.86333 | + | 4.95943i | 0.0911869 | + | 0.157940i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 8.21780 | − | 14.2336i | 0.261443 | − | 0.452833i | ||||
\(989\) | −1.42627 | + | 2.47036i | −0.0453526 | + | 0.0785530i | ||||
\(990\) | −86.0710 | + | 7.86690i | −2.73552 | + | 0.250027i | ||||
\(991\) | 6.30039 | + | 10.9126i | 0.200138 | + | 0.346650i | 0.948573 | − | 0.316559i | \(-0.102527\pi\) |
−0.748434 | + | 0.663209i | \(0.769194\pi\) | |||||||
\(992\) | −0.627819 | − | 1.08741i | −0.0199333 | − | 0.0345254i | ||||
\(993\) | 15.7039 | − | 30.3103i | 0.498348 | − | 0.961869i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 29.4449 | + | 51.0001i | 0.933467 | + | 1.61681i | ||||
\(996\) | −3.05555 | + | 5.89756i | −0.0968187 | + | 0.186871i | ||||
\(997\) | −11.7424 | −0.371885 | −0.185943 | − | 0.982561i | \(-0.559534\pi\) | ||||
−0.185943 | + | 0.982561i | \(0.559534\pi\) | |||||||
\(998\) | 16.1010 | + | 27.8877i | 0.509667 | + | 0.882770i | ||||
\(999\) | −3.49115 | + | 8.56911i | −0.110455 | + | 0.271115i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))