Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [585,2,Mod(406,585)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(585, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 0, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("585.406");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 585 = 3^{2} \cdot 5 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 585.j (of order \(3\), degree \(2\), 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: | \(4.67124851824\) |
Analytic rank: | \(0\) |
Dimension: | \(10\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{3})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{10} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{10} - 2x^{9} + 10x^{8} - 8x^{7} + 50x^{6} - 42x^{5} + 124x^{4} - 12x^{3} + 96x^{2} - 36x + 36 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 3 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 451.4 | ||
Root | \(0.905157 + 1.56778i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 585.451 |
Dual form | 585.2.j.i.406.4 |
$q$-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 \(\left(\mathbb{Z}/585\mathbb{Z}\right)^\times\).
\(n\) | \(326\) | \(352\) | \(496\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.905157 | − | 1.56778i | 0.640043 | − | 1.10859i | −0.345380 | − | 0.938463i | \(-0.612250\pi\) |
0.985423 | − | 0.170124i | \(-0.0544167\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −0.638619 | − | 1.10612i | −0.319310 | − | 0.553061i | ||||
\(5\) | −1.00000 | −0.447214 | ||||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 2.21251 | + | 3.83219i | 0.836252 | + | 1.44843i | 0.893007 | + | 0.450042i | \(0.148591\pi\) |
−0.0567556 | + | 0.998388i | \(0.518076\pi\) | |||||||
\(8\) | 1.30843 | 0.462598 | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −0.905157 | + | 1.56778i | −0.286236 | + | 0.495775i | ||||
\(11\) | −0.807357 | + | 1.39838i | −0.243427 | + | 0.421628i | −0.961688 | − | 0.274145i | \(-0.911605\pi\) |
0.718261 | + | 0.695774i | \(0.244938\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 3.35220 | + | 1.32768i | 0.929734 | + | 0.368233i | ||||
\(14\) | 8.01069 | 2.14095 | ||||||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 2.46157 | − | 4.26356i | 0.615392 | − | 1.06589i | ||||
\(17\) | −0.627919 | − | 1.08759i | −0.152293 | − | 0.263779i | 0.779777 | − | 0.626057i | \(-0.215332\pi\) |
−0.932070 | + | 0.362278i | \(0.881999\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 0.361381 | + | 0.625930i | 0.0829064 | + | 0.143598i | 0.904497 | − | 0.426480i | \(-0.140246\pi\) |
−0.821591 | + | 0.570078i | \(0.806913\pi\) | |||||||
\(20\) | 0.638619 | + | 1.10612i | 0.142800 | + | 0.247336i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 1.46157 | + | 2.53151i | 0.311608 | + | 0.539720i | ||||
\(23\) | 0.654213 | − | 1.13313i | 0.136413 | − | 0.236274i | −0.789723 | − | 0.613463i | \(-0.789776\pi\) |
0.926136 | + | 0.377189i | \(0.123109\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 1.00000 | 0.200000 | ||||||||
\(26\) | 5.11578 | − | 4.05375i | 1.00329 | − | 0.795005i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 2.82591 | − | 4.89462i | 0.534046 | − | 0.924996i | ||||
\(29\) | 0.580318 | − | 1.00514i | 0.107762 | − | 0.186650i | −0.807101 | − | 0.590413i | \(-0.798965\pi\) |
0.914863 | + | 0.403763i | \(0.132298\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −1.64968 | −0.296291 | −0.148145 | − | 0.988966i | \(-0.547330\pi\) | ||||
−0.148145 | + | 0.988966i | \(0.547330\pi\) | |||||||
\(32\) | −3.14779 | − | 5.45213i | −0.556456 | − | 0.963810i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −2.27346 | −0.389895 | ||||||||
\(35\) | −2.21251 | − | 3.83219i | −0.373983 | − | 0.647758i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −2.46157 | + | 4.26356i | −0.404680 | + | 0.700925i | −0.994284 | − | 0.106767i | \(-0.965950\pi\) |
0.589605 | + | 0.807692i | \(0.299284\pi\) | |||||||
\(38\) | 1.30843 | 0.212255 | ||||||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −1.30843 | −0.206880 | ||||||||
\(41\) | 4.28258 | − | 7.41765i | 0.668827 | − | 1.15844i | −0.309405 | − | 0.950930i | \(-0.600130\pi\) |
0.978232 | − | 0.207513i | \(-0.0665368\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −3.57685 | − | 6.19529i | −0.545465 | − | 0.944773i | −0.998577 | − | 0.0533196i | \(-0.983020\pi\) |
0.453113 | − | 0.891453i | \(-0.350314\pi\) | |||||||
\(44\) | 2.06237 | 0.310915 | ||||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −1.18433 | − | 2.05132i | −0.174620 | − | 0.302451i | ||||
\(47\) | −12.3482 | −1.80117 | −0.900583 | − | 0.434685i | \(-0.856860\pi\) | ||||
−0.900583 | + | 0.434685i | \(0.856860\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −6.29044 | + | 10.8954i | −0.898634 | + | 1.55648i | ||||
\(50\) | 0.905157 | − | 1.56778i | 0.128009 | − | 0.221717i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −0.672203 | − | 4.55582i | −0.0932178 | − | 0.631779i | ||||
\(53\) | 13.4045 | 1.84125 | 0.920627 | − | 0.390443i | \(-0.127678\pi\) | ||||
0.920627 | + | 0.390443i | \(0.127678\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 0.807357 | − | 1.39838i | 0.108864 | − | 0.188558i | ||||
\(56\) | 2.89491 | + | 5.01413i | 0.386849 | + | 0.670041i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −1.05056 | − | 1.81962i | −0.137945 | − | 0.238928i | ||||
\(59\) | 2.14244 | + | 3.71082i | 0.278922 | + | 0.483108i | 0.971117 | − | 0.238603i | \(-0.0766895\pi\) |
−0.692195 | + | 0.721711i | \(0.743356\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −2.82484 | − | 4.89276i | −0.361684 | − | 0.626454i | 0.626554 | − | 0.779378i | \(-0.284465\pi\) |
−0.988238 | + | 0.152923i | \(0.951131\pi\) | |||||||
\(62\) | −1.49322 | + | 2.58633i | −0.189639 | + | 0.328464i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −1.55070 | −0.193837 | ||||||||
\(65\) | −3.35220 | − | 1.32768i | −0.415789 | − | 0.164679i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −0.109367 | + | 0.189430i | −0.0133613 | + | 0.0231425i | −0.872629 | − | 0.488384i | \(-0.837587\pi\) |
0.859267 | + | 0.511527i | \(0.170920\pi\) | |||||||
\(68\) | −0.802002 | + | 1.38911i | −0.0972570 | + | 0.168454i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −8.01069 | −0.957461 | ||||||||
\(71\) | 2.92075 | + | 5.05889i | 0.346629 | + | 0.600380i | 0.985648 | − | 0.168811i | \(-0.0539928\pi\) |
−0.639019 | + | 0.769191i | \(0.720660\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 9.91448 | 1.16040 | 0.580201 | − | 0.814473i | \(-0.302974\pi\) | ||||
0.580201 | + | 0.814473i | \(0.302974\pi\) | |||||||
\(74\) | 4.45621 | + | 7.71839i | 0.518024 | + | 0.897245i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 0.461569 | − | 0.799462i | 0.0529456 | − | 0.0917045i | ||||
\(77\) | −7.14515 | −0.814266 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −14.1353 | −1.59035 | −0.795175 | − | 0.606379i | \(-0.792621\pi\) | ||||
−0.795175 | + | 0.606379i | \(0.792621\pi\) | |||||||
\(80\) | −2.46157 | + | 4.26356i | −0.275212 | + | 0.476681i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −7.75282 | − | 13.4283i | −0.856156 | − | 1.48291i | ||||
\(83\) | −11.0342 | −1.21116 | −0.605582 | − | 0.795783i | \(-0.707060\pi\) | ||||
−0.605582 | + | 0.795783i | \(0.707060\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 0.627919 | + | 1.08759i | 0.0681073 | + | 0.117965i | ||||
\(86\) | −12.9505 | −1.39648 | ||||||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −1.05637 | + | 1.82968i | −0.112609 | + | 0.195045i | ||||
\(89\) | −0.422640 | + | 0.732033i | −0.0447997 | + | 0.0775954i | −0.887556 | − | 0.460700i | \(-0.847598\pi\) |
0.842756 | + | 0.538296i | \(0.180932\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 2.32887 | + | 15.7838i | 0.244131 | + | 1.65459i | ||||
\(92\) | −1.67117 | −0.174232 | ||||||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −11.1770 | + | 19.3592i | −1.15282 | + | 1.99675i | ||||
\(95\) | −0.361381 | − | 0.625930i | −0.0370769 | − | 0.0642190i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −6.77723 | − | 11.7385i | −0.688123 | − | 1.19186i | −0.972444 | − | 0.233136i | \(-0.925101\pi\) |
0.284321 | − | 0.958729i | \(-0.408232\pi\) | |||||||
\(98\) | 11.3877 | + | 19.7240i | 1.15033 | + | 1.99243i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −0.638619 | − | 1.10612i | −0.0638619 | − | 0.110612i | ||||
\(101\) | −8.96106 | + | 15.5210i | −0.891659 | + | 1.54440i | −0.0537731 | + | 0.998553i | \(0.517125\pi\) |
−0.837886 | + | 0.545845i | \(0.816209\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 13.8134 | 1.36107 | 0.680535 | − | 0.732715i | \(-0.261747\pi\) | ||||
0.680535 | + | 0.732715i | \(0.261747\pi\) | |||||||
\(104\) | 4.38611 | + | 1.73717i | 0.430093 | + | 0.170344i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 12.1332 | − | 21.0153i | 1.17848 | − | 2.04119i | ||||
\(107\) | 4.86566 | − | 8.42757i | 0.470381 | − | 0.814724i | −0.529045 | − | 0.848594i | \(-0.677450\pi\) |
0.999426 | + | 0.0338700i | \(0.0107832\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 4.36061 | 0.417671 | 0.208835 | − | 0.977951i | \(-0.433033\pi\) | ||||
0.208835 | + | 0.977951i | \(0.433033\pi\) | |||||||
\(110\) | −1.46157 | − | 2.53151i | −0.139355 | − | 0.241370i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 21.7850 | 2.05849 | ||||||||
\(113\) | −9.59636 | − | 16.6214i | −0.902749 | − | 1.56361i | −0.823910 | − | 0.566720i | \(-0.808212\pi\) |
−0.0788389 | − | 0.996887i | \(-0.525121\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −0.654213 | + | 1.13313i | −0.0610057 | + | 0.105665i | ||||
\(116\) | −1.48241 | −0.137638 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 7.75699 | 0.714089 | ||||||||
\(119\) | 2.77856 | − | 4.81260i | 0.254710 | − | 0.441171i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 4.19635 | + | 7.26829i | 0.381486 | + | 0.660754i | ||||
\(122\) | −10.2277 | −0.925972 | ||||||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 1.05352 | + | 1.82474i | 0.0946086 | + | 0.163867i | ||||
\(125\) | −1.00000 | −0.0894427 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 1.52038 | − | 2.63337i | 0.134912 | − | 0.233674i | −0.790652 | − | 0.612266i | \(-0.790258\pi\) |
0.925564 | + | 0.378592i | \(0.123592\pi\) | |||||||
\(128\) | 4.89195 | − | 8.47311i | 0.432392 | − | 0.748924i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −5.11578 | + | 4.05375i | −0.448684 | + | 0.355537i | ||||
\(131\) | −15.4894 | −1.35332 | −0.676659 | − | 0.736297i | \(-0.736573\pi\) | ||||
−0.676659 | + | 0.736297i | \(0.736573\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −1.59912 | + | 2.76976i | −0.138661 | + | 0.240168i | ||||
\(134\) | 0.197989 | + | 0.342927i | 0.0171037 | + | 0.0296244i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −0.821585 | − | 1.42303i | −0.0704503 | − | 0.122024i | ||||
\(137\) | −4.34919 | − | 7.53302i | −0.371576 | − | 0.643589i | 0.618232 | − | 0.785996i | \(-0.287849\pi\) |
−0.989808 | + | 0.142407i | \(0.954516\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −1.01416 | − | 1.75657i | −0.0860197 | − | 0.148991i | 0.819806 | − | 0.572642i | \(-0.194081\pi\) |
−0.905825 | + | 0.423651i | \(0.860748\pi\) | |||||||
\(140\) | −2.82591 | + | 4.89462i | −0.238833 | + | 0.413671i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 10.5750 | 0.887430 | ||||||||
\(143\) | −4.56303 | + | 3.61575i | −0.381580 | + | 0.302364i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −0.580318 | + | 1.00514i | −0.0481928 | + | 0.0834724i | ||||
\(146\) | 8.97416 | − | 15.5437i | 0.742707 | − | 1.28641i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 6.28802 | 0.516872 | ||||||||
\(149\) | 2.80522 | + | 4.85878i | 0.229812 | + | 0.398047i | 0.957752 | − | 0.287594i | \(-0.0928554\pi\) |
−0.727940 | + | 0.685641i | \(0.759522\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 15.5158 | 1.26266 | 0.631331 | − | 0.775514i | \(-0.282509\pi\) | ||||
0.631331 | + | 0.775514i | \(0.282509\pi\) | |||||||
\(152\) | 0.472840 | + | 0.818983i | 0.0383524 | + | 0.0664283i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −6.46749 | + | 11.2020i | −0.521165 | + | 0.902684i | ||||
\(155\) | 1.64968 | 0.132505 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −14.4852 | −1.15604 | −0.578021 | − | 0.816022i | \(-0.696175\pi\) | ||||
−0.578021 | + | 0.816022i | \(0.696175\pi\) | |||||||
\(158\) | −12.7947 | + | 22.1611i | −1.01789 | + | 1.76304i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 3.14779 | + | 5.45213i | 0.248855 | + | 0.431029i | ||||
\(161\) | 5.78982 | 0.456302 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −7.76699 | − | 13.4528i | −0.608358 | − | 1.05371i | −0.991511 | − | 0.130022i | \(-0.958495\pi\) |
0.383153 | − | 0.923685i | \(-0.374838\pi\) | |||||||
\(164\) | −10.9398 | −0.854252 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −9.98771 | + | 17.2992i | −0.775197 | + | 1.34268i | ||||
\(167\) | −10.1644 | + | 17.6053i | −0.786545 | + | 1.36234i | 0.141527 | + | 0.989934i | \(0.454799\pi\) |
−0.928072 | + | 0.372401i | \(0.878535\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 9.47452 | + | 8.90132i | 0.728809 | + | 0.684717i | ||||
\(170\) | 2.27346 | 0.174366 | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −4.56849 | + | 7.91286i | −0.348344 | + | 0.603350i | ||||
\(173\) | −9.55106 | − | 16.5429i | −0.726153 | − | 1.25773i | −0.958497 | − | 0.285101i | \(-0.907973\pi\) |
0.232344 | − | 0.972634i | \(-0.425360\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 2.21251 | + | 3.83219i | 0.167250 | + | 0.289686i | ||||
\(176\) | 3.97473 | + | 6.88443i | 0.299606 | + | 0.518934i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 0.765111 | + | 1.32521i | 0.0573475 | + | 0.0993287i | ||||
\(179\) | −5.47145 | + | 9.47683i | −0.408955 | + | 0.708331i | −0.994773 | − | 0.102111i | \(-0.967440\pi\) |
0.585818 | + | 0.810443i | \(0.300773\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −1.45122 | −0.107869 | −0.0539343 | − | 0.998544i | \(-0.517176\pi\) | ||||
−0.0539343 | + | 0.998544i | \(0.517176\pi\) | |||||||
\(182\) | 26.8535 | + | 10.6357i | 1.99051 | + | 0.788367i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 0.855989 | − | 1.48262i | 0.0631043 | − | 0.109300i | ||||
\(185\) | 2.46157 | − | 4.26356i | 0.180978 | − | 0.313463i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 2.02782 | 0.148289 | ||||||||
\(188\) | 7.88578 | + | 13.6586i | 0.575129 | + | 0.996153i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −1.30843 | −0.0949232 | ||||||||
\(191\) | 7.33986 | + | 12.7130i | 0.531094 | + | 0.919881i | 0.999342 | + | 0.0362842i | \(0.0115522\pi\) |
−0.468248 | + | 0.883597i | \(0.655114\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 9.91692 | − | 17.1766i | 0.713835 | − | 1.23640i | −0.249572 | − | 0.968356i | \(-0.580290\pi\) |
0.963407 | − | 0.268043i | \(-0.0863769\pi\) | |||||||
\(194\) | −24.5378 | −1.76171 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 16.0688 | 1.14777 | ||||||||
\(197\) | −6.19584 | + | 10.7315i | −0.441436 | + | 0.764589i | −0.997796 | − | 0.0663521i | \(-0.978864\pi\) |
0.556361 | + | 0.830941i | \(0.312197\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −11.5563 | − | 20.0162i | −0.819208 | − | 1.41891i | −0.906267 | − | 0.422706i | \(-0.861080\pi\) |
0.0870589 | − | 0.996203i | \(-0.472253\pi\) | |||||||
\(200\) | 1.30843 | 0.0925197 | ||||||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 16.2223 | + | 28.0979i | 1.14140 | + | 1.97696i | ||||
\(203\) | 5.13585 | 0.360466 | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −4.28258 | + | 7.41765i | −0.299109 | + | 0.518071i | ||||
\(206\) | 12.5033 | − | 21.6563i | 0.871143 | − | 1.50886i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 13.9123 | − | 11.0241i | 0.964647 | − | 0.764387i | ||||
\(209\) | −1.16705 | −0.0807267 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 4.42692 | − | 7.66764i | 0.304762 | − | 0.527862i | −0.672447 | − | 0.740146i | \(-0.734757\pi\) |
0.977208 | + | 0.212283i | \(0.0680899\pi\) | |||||||
\(212\) | −8.56039 | − | 14.8270i | −0.587930 | − | 1.01832i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −8.80837 | − | 15.2565i | −0.602128 | − | 1.04292i | ||||
\(215\) | 3.57685 | + | 6.19529i | 0.243939 | + | 0.422515i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −3.64994 | − | 6.32187i | −0.247774 | − | 0.429157i | ||||
\(218\) | 3.94704 | − | 6.83647i | 0.267327 | − | 0.463024i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −2.06237 | −0.139045 | ||||||||
\(221\) | −0.660940 | − | 4.47949i | −0.0444596 | − | 0.301323i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 2.13766 | − | 3.70253i | 0.143148 | − | 0.247940i | −0.785532 | − | 0.618821i | \(-0.787611\pi\) |
0.928681 | + | 0.370881i | \(0.120944\pi\) | |||||||
\(224\) | 13.9291 | − | 24.1258i | 0.930674 | − | 1.61197i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −34.7448 | −2.31119 | ||||||||
\(227\) | 10.7072 | + | 18.5453i | 0.710659 | + | 1.23090i | 0.964610 | + | 0.263681i | \(0.0849365\pi\) |
−0.253951 | + | 0.967217i | \(0.581730\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 0.661510 | 0.0437138 | 0.0218569 | − | 0.999761i | \(-0.493042\pi\) | ||||
0.0218569 | + | 0.999761i | \(0.493042\pi\) | |||||||
\(230\) | 1.18433 | + | 2.05132i | 0.0780925 | + | 0.135260i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 0.759303 | − | 1.31515i | 0.0498507 | − | 0.0863439i | ||||
\(233\) | −13.3665 | −0.875670 | −0.437835 | − | 0.899055i | \(-0.644255\pi\) | ||||
−0.437835 | + | 0.899055i | \(0.644255\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 12.3482 | 0.805506 | ||||||||
\(236\) | 2.73641 | − | 4.73960i | 0.178125 | − | 0.308522i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −5.03006 | − | 8.71233i | −0.326051 | − | 0.564736i | ||||
\(239\) | −4.44339 | −0.287419 | −0.143709 | − | 0.989620i | \(-0.545903\pi\) | ||||
−0.143709 | + | 0.989620i | \(0.545903\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 7.21128 | + | 12.4903i | 0.464519 | + | 0.804571i | 0.999180 | − | 0.0404958i | \(-0.0128938\pi\) |
−0.534660 | + | 0.845067i | \(0.679560\pi\) | |||||||
\(242\) | 15.1934 | 0.976671 | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −3.60799 | + | 6.24923i | −0.230978 | + | 0.400066i | ||||
\(245\) | 6.29044 | − | 10.8954i | 0.401881 | − | 0.696079i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 0.380385 | + | 2.57804i | 0.0242033 | + | 0.164037i | ||||
\(248\) | −2.15848 | −0.137064 | ||||||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −0.905157 | + | 1.56778i | −0.0572472 | + | 0.0991550i | ||||
\(251\) | −1.68270 | − | 2.91452i | −0.106211 | − | 0.183963i | 0.808021 | − | 0.589153i | \(-0.200539\pi\) |
−0.914232 | + | 0.405190i | \(0.867205\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 1.05637 | + | 1.82968i | 0.0664132 | + | 0.115031i | ||||
\(254\) | −2.75236 | − | 4.76723i | −0.172699 | − | 0.299123i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −10.4067 | − | 18.0249i | −0.650417 | − | 1.12656i | ||||
\(257\) | 11.9058 | − | 20.6215i | 0.742664 | − | 1.28633i | −0.208615 | − | 0.977998i | \(-0.566895\pi\) |
0.951278 | − | 0.308333i | \(-0.0997712\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −21.7850 | −1.35366 | ||||||||
\(260\) | 0.672203 | + | 4.55582i | 0.0416883 | + | 0.282540i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −14.0204 | + | 24.2840i | −0.866181 | + | 1.50027i | ||||
\(263\) | 10.1481 | − | 17.5771i | 0.625762 | − | 1.08385i | −0.362631 | − | 0.931933i | \(-0.618122\pi\) |
0.988393 | − | 0.151918i | \(-0.0485450\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −13.4045 | −0.823434 | ||||||||
\(266\) | 2.89491 | + | 5.01413i | 0.177498 | + | 0.307436i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 0.279376 | 0.0170656 | ||||||||
\(269\) | 0.102788 | + | 0.178034i | 0.00626711 | + | 0.0108550i | 0.869142 | − | 0.494563i | \(-0.164672\pi\) |
−0.862875 | + | 0.505418i | \(0.831338\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 5.09923 | − | 8.83212i | 0.309756 | − | 0.536513i | −0.668553 | − | 0.743665i | \(-0.733086\pi\) |
0.978309 | + | 0.207151i | \(0.0664193\pi\) | |||||||
\(272\) | −6.18266 | −0.374879 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −15.7468 | −0.951299 | ||||||||
\(275\) | −0.807357 | + | 1.39838i | −0.0486854 | + | 0.0843256i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −14.0929 | − | 24.4096i | −0.846760 | − | 1.46663i | −0.884084 | − | 0.467328i | \(-0.845217\pi\) |
0.0373245 | − | 0.999303i | \(-0.488116\pi\) | |||||||
\(278\) | −3.67189 | −0.220225 | ||||||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −2.89491 | − | 5.01413i | −0.173004 | − | 0.299652i | ||||
\(281\) | −17.2672 | −1.03008 | −0.515039 | − | 0.857167i | \(-0.672222\pi\) | ||||
−0.515039 | + | 0.857167i | \(0.672222\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −14.0098 | + | 24.2657i | −0.832798 | + | 1.44245i | 0.0630133 | + | 0.998013i | \(0.479929\pi\) |
−0.895811 | + | 0.444435i | \(0.853404\pi\) | |||||||
\(284\) | 3.73050 | − | 6.46141i | 0.221364 | − | 0.383414i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 1.53843 | + | 10.4266i | 0.0909693 | + | 0.616540i | ||||
\(287\) | 37.9011 | 2.23723 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 7.71144 | − | 13.3566i | 0.453614 | − | 0.785682i | ||||
\(290\) | 1.05056 | + | 1.81962i | 0.0616909 | + | 0.106852i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −6.33157 | − | 10.9666i | −0.370527 | − | 0.641772i | ||||
\(293\) | −3.51747 | − | 6.09244i | −0.205493 | − | 0.355924i | 0.744797 | − | 0.667291i | \(-0.232546\pi\) |
−0.950290 | + | 0.311367i | \(0.899213\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −2.14244 | − | 3.71082i | −0.124738 | − | 0.216052i | ||||
\(296\) | −3.22078 | + | 5.57856i | −0.187204 | + | 0.324247i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 10.1567 | 0.588359 | ||||||||
\(299\) | 3.69749 | − | 2.92989i | 0.213831 | − | 0.169440i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 15.8277 | − | 27.4143i | 0.912292 | − | 1.58014i | ||||
\(302\) | 14.0443 | − | 24.3254i | 0.808157 | − | 1.39977i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 3.55825 | 0.204080 | ||||||||
\(305\) | 2.82484 | + | 4.89276i | 0.161750 | + | 0.280159i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 17.9307 | 1.02336 | 0.511679 | − | 0.859177i | \(-0.329024\pi\) | ||||
0.511679 | + | 0.859177i | \(0.329024\pi\) | |||||||
\(308\) | 4.56303 | + | 7.90340i | 0.260003 | + | 0.450338i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 1.49322 | − | 2.58633i | 0.0848091 | − | 0.146894i | ||||
\(311\) | 8.59247 | 0.487234 | 0.243617 | − | 0.969871i | \(-0.421666\pi\) | ||||
0.243617 | + | 0.969871i | \(0.421666\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −21.8298 | −1.23389 | −0.616946 | − | 0.787006i | \(-0.711630\pi\) | ||||
−0.616946 | + | 0.787006i | \(0.711630\pi\) | |||||||
\(314\) | −13.1113 | + | 22.7095i | −0.739916 | + | 1.28157i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 9.02711 | + | 15.6354i | 0.507814 | + | 0.879560i | ||||
\(317\) | 20.4269 | 1.14729 | 0.573645 | − | 0.819104i | \(-0.305529\pi\) | ||||
0.573645 | + | 0.819104i | \(0.305529\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 0.937047 | + | 1.62301i | 0.0524646 | + | 0.0908713i | ||||
\(320\) | 1.55070 | 0.0866867 | ||||||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 5.24070 | − | 9.07715i | 0.292053 | − | 0.505850i | ||||
\(323\) | 0.453835 | − | 0.786066i | 0.0252521 | − | 0.0437379i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 3.35220 | + | 1.32768i | 0.185947 | + | 0.0736466i | ||||
\(326\) | −28.1214 | −1.55750 | ||||||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 5.60344 | − | 9.70545i | 0.309398 | − | 0.535894i | ||||
\(329\) | −27.3205 | − | 47.3205i | −1.50623 | − | 2.60886i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 0.542457 | + | 0.939564i | 0.0298162 | + | 0.0516431i | 0.880548 | − | 0.473956i | \(-0.157174\pi\) |
−0.850732 | + | 0.525599i | \(0.823841\pi\) | |||||||
\(332\) | 7.04667 | + | 12.2052i | 0.386736 | + | 0.669847i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 18.4008 | + | 31.8710i | 1.00684 | + | 1.74391i | ||||
\(335\) | 0.109367 | − | 0.189430i | 0.00597538 | − | 0.0103497i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −15.3641 | −0.836934 | −0.418467 | − | 0.908232i | \(-0.637432\pi\) | ||||
−0.418467 | + | 0.908232i | \(0.637432\pi\) | |||||||
\(338\) | 22.5312 | − | 6.79685i | 1.22554 | − | 0.369700i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 0.802002 | − | 1.38911i | 0.0434947 | − | 0.0753350i | ||||
\(341\) | 1.33188 | − | 2.30688i | 0.0721253 | − | 0.124925i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −24.6955 | −1.33343 | ||||||||
\(344\) | −4.68005 | − | 8.10608i | −0.252331 | − | 0.437050i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −34.5808 | −1.85908 | ||||||||
\(347\) | 15.8872 | + | 27.5174i | 0.852867 | + | 1.47721i | 0.878609 | + | 0.477541i | \(0.158472\pi\) |
−0.0257422 | + | 0.999669i | \(0.508195\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −3.50728 | + | 6.07479i | −0.187740 | + | 0.325176i | −0.944497 | − | 0.328521i | \(-0.893450\pi\) |
0.756756 | + | 0.653697i | \(0.226783\pi\) | |||||||
\(350\) | 8.01069 | 0.428189 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 10.1656 | 0.541826 | ||||||||
\(353\) | 15.1035 | − | 26.1600i | 0.803878 | − | 1.39236i | −0.113168 | − | 0.993576i | \(-0.536100\pi\) |
0.917046 | − | 0.398782i | \(-0.130567\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −2.92075 | − | 5.05889i | −0.155017 | − | 0.268498i | ||||
\(356\) | 1.07962 | 0.0572199 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 9.90505 | + | 17.1560i | 0.523498 | + | 0.906725i | ||||
\(359\) | 16.5984 | 0.876029 | 0.438015 | − | 0.898968i | \(-0.355682\pi\) | ||||
0.438015 | + | 0.898968i | \(0.355682\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 9.23881 | − | 16.0021i | 0.486253 | − | 0.842215i | ||||
\(362\) | −1.31358 | + | 2.27520i | −0.0690405 | + | 0.119582i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 15.9715 | − | 12.6558i | 0.837135 | − | 0.663346i | ||||
\(365\) | −9.91448 | −0.518947 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −10.1642 | + | 17.6050i | −0.530569 | + | 0.918973i | 0.468794 | + | 0.883307i | \(0.344689\pi\) |
−0.999364 | + | 0.0356659i | \(0.988645\pi\) | |||||||
\(368\) | −3.22078 | − | 5.57856i | −0.167895 | − | 0.290802i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −4.45621 | − | 7.71839i | −0.231668 | − | 0.401260i | ||||
\(371\) | 29.6577 | + | 51.3687i | 1.53975 | + | 2.66693i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 10.3763 | + | 17.9724i | 0.537267 | + | 0.930574i | 0.999050 | + | 0.0435808i | \(0.0138766\pi\) |
−0.461783 | + | 0.886993i | \(0.652790\pi\) | |||||||
\(374\) | 1.83549 | − | 3.17917i | 0.0949111 | − | 0.164391i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −16.1567 | −0.833216 | ||||||||
\(377\) | 3.27985 | − | 2.59896i | 0.168921 | − | 0.133853i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 0.432575 | − | 0.749242i | 0.0222199 | − | 0.0384860i | −0.854702 | − | 0.519120i | \(-0.826260\pi\) |
0.876922 | + | 0.480634i | \(0.159593\pi\) | |||||||
\(380\) | −0.461569 | + | 0.799462i | −0.0236780 | + | 0.0410115i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 26.5749 | 1.35969 | ||||||||
\(383\) | 1.41158 | + | 2.44493i | 0.0721284 | + | 0.124930i | 0.899834 | − | 0.436233i | \(-0.143688\pi\) |
−0.827706 | + | 0.561163i | \(0.810354\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 7.14515 | 0.364151 | ||||||||
\(386\) | −17.9527 | − | 31.0951i | −0.913770 | − | 1.58270i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −8.65614 | + | 14.9929i | −0.439449 | + | 0.761148i | ||||
\(389\) | −13.4514 | −0.682015 | −0.341008 | − | 0.940061i | \(-0.610768\pi\) | ||||
−0.341008 | + | 0.940061i | \(0.610768\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −1.64317 | −0.0830987 | ||||||||
\(392\) | −8.23057 | + | 14.2558i | −0.415706 | + | 0.720025i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 11.2164 | + | 19.4274i | 0.565075 | + | 0.978739i | ||||
\(395\) | 14.1353 | 0.711227 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −4.02006 | − | 6.96296i | −0.201761 | − | 0.349461i | 0.747335 | − | 0.664448i | \(-0.231333\pi\) |
−0.949096 | + | 0.314987i | \(0.898000\pi\) | |||||||
\(398\) | −41.8413 | −2.09731 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 2.46157 | − | 4.26356i | 0.123078 | − | 0.213178i | ||||
\(401\) | 17.1810 | − | 29.7584i | 0.857978 | − | 1.48606i | −0.0158757 | − | 0.999874i | \(-0.505054\pi\) |
0.873854 | − | 0.486188i | \(-0.161613\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −5.53005 | − | 2.19025i | −0.275472 | − | 0.109104i | ||||
\(404\) | 22.8908 | 1.13886 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 4.64875 | − | 8.05187i | 0.230714 | − | 0.399608i | ||||
\(407\) | −3.97473 | − | 6.88443i | −0.197020 | − | 0.341249i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 9.73340 | + | 16.8587i | 0.481286 | + | 0.833611i | 0.999769 | − | 0.0214764i | \(-0.00683667\pi\) |
−0.518484 | + | 0.855087i | \(0.673503\pi\) | |||||||
\(410\) | 7.75282 | + | 13.4283i | 0.382885 | + | 0.663176i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −8.82148 | − | 15.2792i | −0.434603 | − | 0.752754i | ||||
\(413\) | −9.48037 | + | 16.4205i | −0.466499 | + | 0.807999i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 11.0342 | 0.541649 | ||||||||
\(416\) | −3.31333 | − | 22.4559i | −0.162449 | − | 1.10099i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −1.05637 | + | 1.82968i | −0.0516686 | + | 0.0894926i | ||||
\(419\) | −12.2360 | + | 21.1934i | −0.597768 | + | 1.03536i | 0.395382 | + | 0.918517i | \(0.370612\pi\) |
−0.993150 | + | 0.116847i | \(0.962721\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 27.6979 | 1.34991 | 0.674956 | − | 0.737858i | \(-0.264163\pi\) | ||||
0.674956 | + | 0.737858i | \(0.264163\pi\) | |||||||
\(422\) | −8.01411 | − | 13.8808i | −0.390121 | − | 0.675709i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 17.5388 | 0.851761 | ||||||||
\(425\) | −0.627919 | − | 1.08759i | −0.0304585 | − | 0.0527557i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 12.5000 | − | 21.6506i | 0.604917 | − | 1.04775i | ||||
\(428\) | −12.4292 | −0.600789 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 12.9505 | 0.624526 | ||||||||
\(431\) | −2.18386 | + | 3.78255i | −0.105193 | + | 0.182199i | −0.913817 | − | 0.406126i | \(-0.866879\pi\) |
0.808624 | + | 0.588325i | \(0.200213\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 4.52859 | + | 7.84374i | 0.217630 | + | 0.376946i | 0.954083 | − | 0.299543i | \(-0.0968341\pi\) |
−0.736453 | + | 0.676489i | \(0.763501\pi\) | |||||||
\(434\) | −13.2151 | −0.634343 | ||||||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −2.78477 | − | 4.82336i | −0.133366 | − | 0.230997i | ||||
\(437\) | 0.945680 | 0.0452380 | ||||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 8.08964 | − | 14.0117i | 0.386097 | − | 0.668740i | −0.605823 | − | 0.795599i | \(-0.707156\pi\) |
0.991921 | + | 0.126859i | \(0.0404896\pi\) | |||||||
\(440\) | 1.05637 | − | 1.82968i | 0.0503603 | − | 0.0872266i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −7.62110 | − | 3.01843i | −0.362499 | − | 0.143572i | ||||
\(443\) | −13.6295 | −0.647555 | −0.323778 | − | 0.946133i | \(-0.604953\pi\) | ||||
−0.323778 | + | 0.946133i | \(0.604953\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 0.422640 | − | 0.732033i | 0.0200350 | − | 0.0347017i | ||||
\(446\) | −3.86983 | − | 6.70275i | −0.183242 | − | 0.317384i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −3.43094 | − | 5.94257i | −0.162097 | − | 0.280760i | ||||
\(449\) | 5.52716 | + | 9.57332i | 0.260843 | + | 0.451793i | 0.966466 | − | 0.256794i | \(-0.0826662\pi\) |
−0.705623 | + | 0.708587i | \(0.749333\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 6.91515 | + | 11.9774i | 0.325622 | + | 0.563993i | ||||
\(452\) | −12.2568 | + | 21.2295i | −0.576513 | + | 0.998550i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 38.7667 | 1.81941 | ||||||||
\(455\) | −2.32887 | − | 15.7838i | −0.109179 | − | 0.739955i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −12.1176 | + | 20.9883i | −0.566836 | + | 0.981789i | 0.430040 | + | 0.902810i | \(0.358499\pi\) |
−0.996876 | + | 0.0789794i | \(0.974834\pi\) | |||||||
\(458\) | 0.598770 | − | 1.03710i | 0.0279787 | − | 0.0484605i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 1.67117 | 0.0779188 | ||||||||
\(461\) | 13.3479 | + | 23.1193i | 0.621674 | + | 1.07677i | 0.989174 | + | 0.146748i | \(0.0468806\pi\) |
−0.367499 | + | 0.930024i | \(0.619786\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 19.8137 | 0.920819 | 0.460410 | − | 0.887707i | \(-0.347703\pi\) | ||||
0.460410 | + | 0.887707i | \(0.347703\pi\) | |||||||
\(464\) | −2.85699 | − | 4.94845i | −0.132632 | − | 0.229726i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −12.0988 | + | 20.9557i | −0.560466 | + | 0.970756i | ||||
\(467\) | −22.4652 | −1.03956 | −0.519782 | − | 0.854299i | \(-0.673987\pi\) | ||||
−0.519782 | + | 0.854299i | \(0.673987\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −0.967907 | −0.0446938 | ||||||||
\(470\) | 11.1770 | − | 19.3592i | 0.515558 | − | 0.892973i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 2.80323 | + | 4.85533i | 0.129029 | + | 0.223485i | ||||
\(473\) | 11.5512 | 0.531124 | ||||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 0.361381 | + | 0.625930i | 0.0165813 | + | 0.0287196i | ||||
\(476\) | −7.09776 | −0.325325 | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −4.02196 | + | 6.96624i | −0.183960 | + | 0.318629i | ||||
\(479\) | −12.5842 | + | 21.7964i | −0.574985 | + | 0.995903i | 0.421058 | + | 0.907034i | \(0.361659\pi\) |
−0.996043 | + | 0.0888698i | \(0.971674\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −13.9123 | + | 11.0241i | −0.634348 | + | 0.502658i | ||||
\(482\) | 26.1094 | 1.18925 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 5.35974 | − | 9.28334i | 0.243625 | − | 0.421970i | ||||
\(485\) | 6.77723 | + | 11.7385i | 0.307738 | + | 0.533018i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 14.7771 | + | 25.5947i | 0.669613 | + | 1.15980i | 0.978012 | + | 0.208547i | \(0.0668735\pi\) |
−0.308399 | + | 0.951257i | \(0.599793\pi\) | |||||||
\(488\) | −3.69609 | − | 6.40182i | −0.167314 | − | 0.289797i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −11.3877 | − | 19.7240i | −0.514442 | − | 0.891040i | ||||
\(491\) | −7.72923 | + | 13.3874i | −0.348815 | + | 0.604166i | −0.986039 | − | 0.166513i | \(-0.946749\pi\) |
0.637224 | + | 0.770679i | \(0.280083\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −1.45757 | −0.0656457 | ||||||||
\(494\) | 4.38611 | + | 1.73717i | 0.197340 | + | 0.0781592i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −4.06080 | + | 7.03351i | −0.182335 | + | 0.315814i | ||||
\(497\) | −12.9244 | + | 22.3857i | −0.579739 | + | 1.00414i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −1.38273 | −0.0618993 | −0.0309497 | − | 0.999521i | \(-0.509853\pi\) | ||||
−0.0309497 | + | 0.999521i | \(0.509853\pi\) | |||||||
\(500\) | 0.638619 | + | 1.10612i | 0.0285599 | + | 0.0494672i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −6.09244 | −0.271919 | ||||||||
\(503\) | 20.2960 | + | 35.1537i | 0.904953 | + | 1.56742i | 0.820980 | + | 0.570957i | \(0.193428\pi\) |
0.0839732 | + | 0.996468i | \(0.473239\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 8.96106 | − | 15.5210i | 0.398762 | − | 0.690676i | ||||
\(506\) | 3.82471 | 0.170029 | ||||||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −3.88377 | −0.172315 | ||||||||
\(509\) | −3.18571 | + | 5.51781i | −0.141204 | + | 0.244573i | −0.927950 | − | 0.372704i | \(-0.878431\pi\) |
0.786746 | + | 0.617277i | \(0.211764\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 21.9359 | + | 37.9941i | 0.970388 | + | 1.68076i | ||||
\(512\) | −18.1109 | −0.800396 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −21.5532 | − | 37.3313i | −0.950673 | − | 1.64661i | ||||
\(515\) | −13.8134 | −0.608689 | ||||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 9.96937 | − | 17.2675i | 0.438453 | − | 0.759422i | ||||
\(518\) | −19.7189 | + | 34.1541i | −0.866398 | + | 1.50064i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −4.38611 | − | 1.73717i | −0.192344 | − | 0.0761801i | ||||
\(521\) | −1.54817 | −0.0678264 | −0.0339132 | − | 0.999425i | \(-0.510797\pi\) | ||||
−0.0339132 | + | 0.999425i | \(0.510797\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −16.5485 | + | 28.6629i | −0.723617 | + | 1.25334i | 0.235923 | + | 0.971772i | \(0.424189\pi\) |
−0.959541 | + | 0.281570i | \(0.909145\pi\) | |||||||
\(524\) | 9.89185 | + | 17.1332i | 0.432127 | + | 0.748467i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −18.3713 | − | 31.8201i | −0.801028 | − | 1.38742i | ||||
\(527\) | 1.03586 | + | 1.79417i | 0.0451229 | + | 0.0781552i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 10.6440 | + | 18.4360i | 0.462783 | + | 0.801564i | ||||
\(530\) | −12.1332 | + | 21.0153i | −0.527033 | + | 0.912848i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 4.08491 | 0.177104 | ||||||||
\(533\) | 24.2044 | − | 19.1796i | 1.04841 | − | 0.830759i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −4.86566 | + | 8.42757i | −0.210361 | + | 0.364355i | ||||
\(536\) | −0.143099 | + | 0.247855i | −0.00618094 | + | 0.0107057i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 0.372158 | 0.0160449 | ||||||||
\(539\) | −10.1572 | − | 17.5929i | −0.437504 | − | 0.757779i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −0.149945 | −0.00644662 | −0.00322331 | − | 0.999995i | \(-0.501026\pi\) | ||||
−0.00322331 | + | 0.999995i | \(0.501026\pi\) | |||||||
\(542\) | −9.23121 | − | 15.9889i | −0.396514 | − | 0.686783i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −3.95311 | + | 6.84699i | −0.169488 | + | 0.293562i | ||||
\(545\) | −4.36061 | −0.186788 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −5.12882 | −0.219293 | −0.109646 | − | 0.993971i | \(-0.534972\pi\) | ||||
−0.109646 | + | 0.993971i | \(0.534972\pi\) | |||||||
\(548\) | −5.55495 | + | 9.62146i | −0.237296 | + | 0.411008i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 1.46157 | + | 2.53151i | 0.0623215 | + | 0.107944i | ||||
\(551\) | 0.838863 | 0.0357368 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −31.2747 | − | 54.1693i | −1.32993 | − | 2.30351i | ||||
\(554\) | −51.0251 | −2.16785 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −1.29532 | + | 2.24356i | −0.0549339 | + | 0.0951482i | ||||
\(557\) | −1.63700 | + | 2.83536i | −0.0693617 | + | 0.120138i | −0.898621 | − | 0.438727i | \(-0.855430\pi\) |
0.829259 | + | 0.558865i | \(0.188763\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −3.76495 | − | 25.5168i | −0.159241 | − | 1.07925i | ||||
\(560\) | −21.7850 | −0.920585 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −15.6296 | + | 27.0712i | −0.659294 | + | 1.14193i | ||||
\(563\) | 3.88716 | + | 6.73276i | 0.163824 | + | 0.283752i | 0.936237 | − | 0.351369i | \(-0.114284\pi\) |
−0.772413 | + | 0.635121i | \(0.780950\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 9.59636 | + | 16.6214i | 0.403722 | + | 0.699267i | ||||
\(566\) | 25.3622 | + | 43.9286i | 1.06605 | + | 1.84646i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 3.82158 | + | 6.61918i | 0.160350 | + | 0.277735i | ||||
\(569\) | 3.93736 | − | 6.81970i | 0.165063 | − | 0.285897i | −0.771615 | − | 0.636090i | \(-0.780551\pi\) |
0.936678 | + | 0.350193i | \(0.113884\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −11.4994 | −0.481236 | −0.240618 | − | 0.970620i | \(-0.577350\pi\) | ||||
−0.240618 | + | 0.970620i | \(0.577350\pi\) | |||||||
\(572\) | 6.91349 | + | 2.73818i | 0.289068 | + | 0.114489i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 34.3065 | − | 59.4205i | 1.43192 | − | 2.48017i | ||||
\(575\) | 0.654213 | − | 1.13313i | 0.0272826 | − | 0.0472548i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −0.797701 | −0.0332087 | −0.0166044 | − | 0.999862i | \(-0.505286\pi\) | ||||
−0.0166044 | + | 0.999862i | \(0.505286\pi\) | |||||||
\(578\) | −13.9601 | − | 24.1796i | −0.580665 | − | 1.00574i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 1.48241 | 0.0615537 | ||||||||
\(581\) | −24.4134 | − | 42.2852i | −1.01284 | − | 1.75429i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −10.8222 | + | 18.7447i | −0.448211 | + | 0.776325i | ||||
\(584\) | 12.9724 | 0.536800 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −12.7355 | −0.526097 | ||||||||
\(587\) | −9.27183 | + | 16.0593i | −0.382689 | + | 0.662837i | −0.991446 | − | 0.130520i | \(-0.958335\pi\) |
0.608756 | + | 0.793357i | \(0.291669\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −0.596162 | − | 1.03258i | −0.0245644 | − | 0.0425468i | ||||
\(590\) | −7.75699 | −0.319350 | ||||||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 12.1186 | + | 20.9901i | 0.498073 | + | 0.862688i | ||||
\(593\) | −11.6068 | −0.476633 | −0.238316 | − | 0.971188i | \(-0.576596\pi\) | ||||
−0.238316 | + | 0.971188i | \(0.576596\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −2.77856 | + | 4.81260i | −0.113910 | + | 0.197297i | ||||
\(596\) | 3.58293 | − | 6.20582i | 0.146763 | − | 0.254200i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −1.24661 | − | 8.44886i | −0.0509778 | − | 0.345500i | ||||
\(599\) | 35.2656 | 1.44091 | 0.720457 | − | 0.693500i | \(-0.243932\pi\) | ||||
0.720457 | + | 0.693500i | \(0.243932\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 0.818735 | − | 1.41809i | 0.0333969 | − | 0.0578451i | −0.848844 | − | 0.528644i | \(-0.822701\pi\) |
0.882241 | + | 0.470799i | \(0.156034\pi\) | |||||||
\(602\) | −28.6531 | − | 49.6286i | −1.16781 | − | 2.02271i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −9.90871 | − | 17.1624i | −0.403180 | − | 0.698328i | ||||
\(605\) | −4.19635 | − | 7.26829i | −0.170606 | − | 0.295498i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −14.1361 | − | 24.4844i | −0.573765 | − | 0.993791i | −0.996175 | − | 0.0873853i | \(-0.972149\pi\) |
0.422409 | − | 0.906405i | \(-0.361184\pi\) | |||||||
\(608\) | 2.27510 | − | 3.94059i | 0.0922675 | − | 0.159812i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 10.2277 | 0.414107 | ||||||||
\(611\) | −41.3935 | − | 16.3944i | −1.67460 | − | 0.663248i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −10.4972 | + | 18.1818i | −0.423980 | + | 0.734354i | −0.996325 | − | 0.0856587i | \(-0.972701\pi\) |
0.572345 | + | 0.820013i | \(0.306034\pi\) | |||||||
\(614\) | 16.2301 | − | 28.1113i | 0.654993 | − | 1.13448i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −9.34890 | −0.376678 | ||||||||
\(617\) | −2.67847 | − | 4.63924i | −0.107831 | − | 0.186769i | 0.807060 | − | 0.590469i | \(-0.201057\pi\) |
−0.914891 | + | 0.403700i | \(0.867724\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −38.1621 | −1.53386 | −0.766931 | − | 0.641729i | \(-0.778217\pi\) | ||||
−0.766931 | + | 0.641729i | \(0.778217\pi\) | |||||||
\(620\) | −1.05352 | − | 1.82474i | −0.0423102 | − | 0.0732835i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 7.77753 | − | 13.4711i | 0.311851 | − | 0.540141i | ||||
\(623\) | −3.74038 | −0.149855 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 1.00000 | 0.0400000 | ||||||||
\(626\) | −19.7594 | + | 34.2243i | −0.789744 | + | 1.36788i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 9.25050 | + | 16.0223i | 0.369135 | + | 0.639361i | ||||
\(629\) | 6.18266 | 0.246519 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −3.74163 | − | 6.48068i | −0.148952 | − | 0.257992i | 0.781889 | − | 0.623418i | \(-0.214257\pi\) |
−0.930840 | + | 0.365426i | \(0.880923\pi\) | |||||||
\(632\) | −18.4950 | −0.735694 | ||||||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 18.4896 | − | 32.0249i | 0.734315 | − | 1.27187i | ||||
\(635\) | −1.52038 | + | 2.63337i | −0.0603344 | + | 0.104502i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −35.5524 | + | 28.1717i | −1.40864 | + | 1.11620i | ||||
\(638\) | 3.39270 | 0.134318 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −4.89195 | + | 8.47311i | −0.193371 | + | 0.334929i | ||||
\(641\) | 22.7461 | + | 39.3974i | 0.898416 | + | 1.55610i | 0.829519 | + | 0.558479i | \(0.188615\pi\) |
0.0688979 | + | 0.997624i | \(0.478052\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 15.3903 | + | 26.6568i | 0.606935 | + | 1.05124i | 0.991742 | + | 0.128245i | \(0.0409345\pi\) |
−0.384808 | + | 0.922997i | \(0.625732\pi\) | |||||||
\(644\) | −3.69749 | − | 6.40424i | −0.145702 | − | 0.252362i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −0.821585 | − | 1.42303i | −0.0323248 | − | 0.0559882i | ||||
\(647\) | 23.8826 | − | 41.3659i | 0.938922 | − | 1.62626i | 0.171436 | − | 0.985195i | \(-0.445159\pi\) |
0.767486 | − | 0.641066i | \(-0.221507\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −6.91886 | −0.271589 | ||||||||
\(650\) | 5.11578 | − | 4.05375i | 0.200657 | − | 0.159001i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −9.92030 | + | 17.1825i | −0.388509 | + | 0.672917i | ||||
\(653\) | −4.51773 | + | 7.82494i | −0.176793 | + | 0.306214i | −0.940780 | − | 0.339017i | \(-0.889905\pi\) |
0.763988 | + | 0.645231i | \(0.223239\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 15.4894 | 0.605222 | ||||||||
\(656\) | −21.0838 | − | 36.5181i | −0.823182 | − | 1.42579i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −98.9174 | −3.85620 | ||||||||
\(659\) | 20.0387 | + | 34.7081i | 0.780598 | + | 1.35204i | 0.931594 | + | 0.363501i | \(0.118419\pi\) |
−0.150996 | + | 0.988534i | \(0.548248\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −9.45968 | + | 16.3846i | −0.367939 | + | 0.637289i | −0.989243 | − | 0.146281i | \(-0.953270\pi\) |
0.621304 | + | 0.783569i | \(0.286603\pi\) | |||||||
\(662\) | 1.96404 | 0.0763345 | ||||||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −14.4375 | −0.560282 | ||||||||
\(665\) | 1.59912 | − | 2.76976i | 0.0620112 | − | 0.107407i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −0.759303 | − | 1.31515i | −0.0294003 | − | 0.0509229i | ||||
\(668\) | 25.9647 | 1.00461 | ||||||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −0.197989 | − | 0.342927i | −0.00764899 | − | 0.0132484i | ||||
\(671\) | 9.12261 | 0.352174 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 11.5016 | − | 19.9213i | 0.443353 | − | 0.767910i | −0.554583 | − | 0.832128i | \(-0.687122\pi\) |
0.997936 | + | 0.0642188i | \(0.0204556\pi\) | |||||||
\(674\) | −13.9069 | + | 24.0874i | −0.535673 | + | 0.927813i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 3.79533 | − | 16.1645i | 0.145974 | − | 0.621712i | ||||
\(677\) | 41.0126 | 1.57624 | 0.788121 | − | 0.615520i | \(-0.211054\pi\) | ||||
0.788121 | + | 0.615520i | \(0.211054\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 29.9894 | − | 51.9432i | 1.15089 | − | 1.99340i | ||||
\(680\) | 0.821585 | + | 1.42303i | 0.0315063 | + | 0.0545706i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −2.41112 | − | 4.17618i | −0.0923265 | − | 0.159914i | ||||
\(683\) | 1.26313 | + | 2.18780i | 0.0483322 | + | 0.0837139i | 0.889179 | − | 0.457559i | \(-0.151276\pi\) |
−0.840847 | + | 0.541273i | \(0.817943\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 4.34919 | + | 7.53302i | 0.166174 | + | 0.287822i | ||||
\(686\) | −22.3533 | + | 38.7171i | −0.853454 | + | 1.47822i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −35.2187 | −1.34270 | ||||||||
\(689\) | 44.9347 | + | 17.7970i | 1.71188 | + | 0.678010i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −18.8935 | + | 32.7244i | −0.718741 | + | 1.24490i | 0.242758 | + | 0.970087i | \(0.421948\pi\) |
−0.961499 | + | 0.274809i | \(0.911385\pi\) | |||||||
\(692\) | −12.1990 | + | 21.1293i | −0.463736 | + | 0.803214i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 57.5215 | 2.18349 | ||||||||
\(695\) | 1.01416 | + | 1.75657i | 0.0384692 | + | 0.0666306i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −10.7565 | −0.407430 | ||||||||
\(698\) | 6.34928 | + | 10.9973i | 0.240324 | + | 0.416253i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 2.82591 | − | 4.89462i | 0.106809 | − | 0.184999i | ||||
\(701\) | 9.12075 | 0.344486 | 0.172243 | − | 0.985054i | \(-0.444899\pi\) | ||||
0.172243 | + | 0.985054i | \(0.444899\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −3.55825 | −0.134202 | ||||||||
\(704\) | 1.25197 | − | 2.16847i | 0.0471853 | − | 0.0817273i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −27.3421 | − | 47.3579i | −1.02903 | − | 1.78234i | ||||
\(707\) | −79.3059 | −2.98261 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 10.8701 | + | 18.8276i | 0.408236 | + | 0.707086i | 0.994692 | − | 0.102895i | \(-0.0328106\pi\) |
−0.586456 | + | 0.809981i | \(0.699477\pi\) | |||||||
\(710\) | −10.5750 | −0.396871 | ||||||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −0.552993 | + | 0.957811i | −0.0207243 | + | 0.0358955i | ||||
\(713\) | −1.07924 | + | 1.86930i | −0.0404179 | + | 0.0700058i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 4.56303 | − | 3.61575i | 0.170648 | − | 0.135221i | ||||
\(716\) | 13.9767 | 0.522334 | ||||||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 15.0241 | − | 26.0226i | 0.560696 | − | 0.971154i | ||||
\(719\) | −7.18546 | − | 12.4456i | −0.267973 | − | 0.464142i | 0.700366 | − | 0.713784i | \(-0.253020\pi\) |
−0.968338 | + | 0.249642i | \(0.919687\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 30.5622 | + | 52.9354i | 1.13820 | + | 1.97142i | ||||
\(722\) | −16.7251 | − | 28.9688i | −0.622446 | − | 1.07811i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 0.926779 | + | 1.60523i | 0.0344435 | + | 0.0596578i | ||||
\(725\) | 0.580318 | − | 1.00514i | 0.0215525 | − | 0.0373300i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −38.5088 | −1.42821 | −0.714106 | − | 0.700038i | \(-0.753166\pi\) | ||||
−0.714106 | + | 0.700038i | \(0.753166\pi\) | |||||||
\(728\) | 3.04715 | + | 20.6519i | 0.112935 | + | 0.765410i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −8.97416 | + | 15.5437i | −0.332149 | + | 0.575298i | ||||
\(731\) | −4.49195 | + | 7.78028i | −0.166141 | + | 0.287764i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −1.95952 | −0.0723767 | −0.0361884 | − | 0.999345i | \(-0.511522\pi\) | ||||
−0.0361884 | + | 0.999345i | \(0.511522\pi\) | |||||||
\(734\) | 18.4005 | + | 31.8706i | 0.679174 | + | 1.17636i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −8.23730 | −0.303631 | ||||||||
\(737\) | −0.176597 | − | 0.305875i | −0.00650503 | − | 0.0112670i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 19.7301 | − | 34.1736i | 0.725784 | − | 1.25710i | −0.232866 | − | 0.972509i | \(-0.574810\pi\) |
0.958650 | − | 0.284587i | \(-0.0918564\pi\) | |||||||
\(740\) | −6.28802 | −0.231152 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 107.380 | 3.94203 | ||||||||
\(743\) | 16.7449 | − | 29.0031i | 0.614312 | − | 1.06402i | −0.376193 | − | 0.926541i | \(-0.622767\pi\) |
0.990505 | − | 0.137478i | \(-0.0438996\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −2.80522 | − | 4.85878i | −0.102775 | − | 0.178012i | ||||
\(746\) | 37.5689 | 1.37550 | ||||||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −1.29500 | − | 2.24301i | −0.0473500 | − | 0.0820126i | ||||
\(749\) | 43.0613 | 1.57343 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 8.58750 | − | 14.8740i | 0.313362 | − | 0.542759i | −0.665726 | − | 0.746197i | \(-0.731878\pi\) |
0.979088 | + | 0.203437i | \(0.0652113\pi\) | |||||||
\(752\) | −30.3959 | + | 52.6472i | −1.10842 | + | 1.91985i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −1.10581 | − | 7.49454i | −0.0402711 | − | 0.272935i | ||||
\(755\) | −15.5158 | −0.564679 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 21.1595 | − | 36.6493i | 0.769055 | − | 1.33204i | −0.169021 | − | 0.985612i | \(-0.554061\pi\) |
0.938076 | − | 0.346430i | \(-0.112606\pi\) | |||||||
\(758\) | −0.783097 | − | 1.35636i | −0.0284434 | − | 0.0492653i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −0.472840 | − | 0.818983i | −0.0171517 | − | 0.0297076i | ||||
\(761\) | 6.22372 | + | 10.7798i | 0.225610 | + | 0.390767i | 0.956502 | − | 0.291725i | \(-0.0942293\pi\) |
−0.730892 | + | 0.682493i | \(0.760896\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 9.64791 | + | 16.7107i | 0.349278 | + | 0.604967i | ||||
\(764\) | 9.37476 | − | 16.2376i | 0.339167 | − | 0.587454i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 5.11081 | 0.184661 | ||||||||
\(767\) | 2.25511 | + | 15.2839i | 0.0814273 | + | 0.551870i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 3.67747 | − | 6.36957i | 0.132613 | − | 0.229692i | −0.792070 | − | 0.610430i | \(-0.790997\pi\) |
0.924683 | + | 0.380738i | \(0.124330\pi\) | |||||||
\(770\) | 6.46749 | − | 11.2020i | 0.233072 | − | 0.403693i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −25.3325 | −0.911738 | ||||||||
\(773\) | 6.43507 | + | 11.1459i | 0.231453 | + | 0.400889i | 0.958236 | − | 0.285978i | \(-0.0923186\pi\) |
−0.726783 | + | 0.686868i | \(0.758985\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −1.64968 | −0.0592582 | ||||||||
\(776\) | −8.86750 | − | 15.3590i | −0.318325 | − | 0.551355i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −12.1757 | + | 21.0889i | −0.436519 | + | 0.756073i | ||||
\(779\) | 6.19057 | 0.221800 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −9.43235 | −0.337516 | ||||||||
\(782\) | −1.48733 | + | 2.57613i | −0.0531867 | + | 0.0921221i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 30.9687 | + | 53.6393i | 1.10602 | + | 1.91569i | ||||
\(785\) | 14.4852 | 0.516997 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 2.48451 | + | 4.30329i | 0.0885631 | + | 0.153396i | 0.906904 | − | 0.421337i | \(-0.138439\pi\) |
−0.818341 | + | 0.574733i | \(0.805106\pi\) | |||||||
\(788\) | 15.8271 | 0.563818 | ||||||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 12.7947 | − | 22.1611i | 0.455215 | − | 0.788456i | ||||
\(791\) | 42.4641 | − | 73.5500i | 1.50985 | − | 2.61514i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −2.97339 | − | 20.1520i | −0.105588 | − | 0.715619i | ||||
\(794\) | −14.5552 | −0.516543 | ||||||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −14.7602 | + | 25.5654i | −0.523162 | + | 0.906143i | ||||
\(797\) | −10.5622 | − | 18.2943i | −0.374133 | − | 0.648018i | 0.616064 | − | 0.787696i | \(-0.288726\pi\) |
−0.990197 | + | 0.139679i | \(0.955393\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 7.75364 | + | 13.4297i | 0.274304 | + | 0.475109i | ||||
\(800\) | −3.14779 | − | 5.45213i | −0.111291 | − | 0.192762i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −31.1030 | − | 53.8720i | −1.09829 | − | 1.90229i | ||||
\(803\) | −8.00452 | + | 13.8642i | −0.282473 | + | 0.489258i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −5.78982 | −0.204064 | ||||||||
\(806\) | −8.43939 | + | 6.68738i | −0.297265 | + | 0.235553i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −11.7249 | + | 20.3081i | −0.412480 | + | 0.714436i | ||||
\(809\) | −5.63041 | + | 9.75216i | −0.197955 | + | 0.342868i | −0.947865 | − | 0.318672i | \(-0.896763\pi\) |
0.749910 | + | 0.661539i | \(0.230097\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 30.9957 | 1.08841 | 0.544203 | − | 0.838954i | \(-0.316832\pi\) | ||||
0.544203 | + | 0.838954i | \(0.316832\pi\) | |||||||
\(812\) | −3.27985 | − | 5.68087i | −0.115100 | − | 0.199359i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −14.3910 | −0.504405 | ||||||||
\(815\) | 7.76699 | + | 13.4528i | 0.272066 | + | 0.471232i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 2.58521 | − | 4.47772i | 0.0904451 | − | 0.156655i | ||||
\(818\) | 35.2410 | 1.23217 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 10.9398 | 0.382033 | ||||||||
\(821\) | 21.9342 | − | 37.9912i | 0.765510 | − | 1.32590i | −0.174466 | − | 0.984663i | \(-0.555820\pi\) |
0.939976 | − | 0.341239i | \(-0.110847\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 3.04030 | + | 5.26596i | 0.105978 | + | 0.183560i | 0.914137 | − | 0.405404i | \(-0.132869\pi\) |
−0.808159 | + | 0.588964i | \(0.799536\pi\) | |||||||
\(824\) | 18.0738 | 0.629629 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 17.1625 | + | 29.7262i | 0.597158 | + | 1.03431i | ||||
\(827\) | −11.0488 | −0.384205 | −0.192102 | − | 0.981375i | \(-0.561531\pi\) | ||||
−0.192102 | + | 0.981375i | \(0.561531\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −15.7802 | + | 27.3322i | −0.548070 | + | 0.949285i | 0.450337 | + | 0.892859i | \(0.351304\pi\) |
−0.998407 | + | 0.0564262i | \(0.982029\pi\) | |||||||
\(830\) | 9.98771 | − | 17.2992i | 0.346679 | − | 0.600465i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −5.19826 | − | 2.05884i | −0.180217 | − | 0.0713773i | ||||
\(833\) | 15.7995 | 0.547421 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 10.1644 | − | 17.6053i | 0.351753 | − | 0.609255i | ||||
\(836\) | 0.745302 | + | 1.29090i | 0.0257768 | + | 0.0446468i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 22.1510 | + | 38.3667i | 0.765194 | + | 1.32535i | ||||
\(839\) | 8.03414 | + | 13.9155i | 0.277369 | + | 0.480418i | 0.970730 | − | 0.240173i | \(-0.0772041\pi\) |
−0.693361 | + | 0.720591i | \(0.743871\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 13.8265 | + | 23.9481i | 0.476775 | + | 0.825798i | ||||
\(842\) | 25.0709 | − | 43.4241i | 0.864001 | − | 1.49649i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −11.3085 | −0.389253 | ||||||||
\(845\) | −9.47452 | − | 8.90132i | −0.325933 | − | 0.306215i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −18.5690 | + | 32.1624i | −0.638037 | + | 1.10511i | ||||
\(848\) | 32.9962 | − | 57.1511i | 1.13309 | − | 1.96258i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −2.27346 | −0.0779791 | ||||||||
\(851\) | 3.22078 | + | 5.57856i | 0.110407 | + | 0.191230i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 11.5424 | 0.395205 | 0.197602 | − | 0.980282i | \(-0.436685\pi\) | ||||
0.197602 | + | 0.980282i | \(0.436685\pi\) | |||||||
\(854\) | −22.6289 | − | 39.1944i | −0.774346 | − | 1.34121i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 6.36635 | − | 11.0268i | 0.217597 | − | 0.376890i | ||||
\(857\) | −53.7559 | −1.83627 | −0.918134 | − | 0.396270i | \(-0.870304\pi\) | ||||
−0.918134 | + | 0.396270i | \(0.870304\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 3.28910 | 0.112223 | 0.0561113 | − | 0.998425i | \(-0.482130\pi\) | ||||
0.0561113 | + | 0.998425i | \(0.482130\pi\) | |||||||
\(860\) | 4.56849 | − | 7.91286i | 0.155784 | − | 0.269826i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 3.95347 | + | 6.84760i | 0.134656 | + | 0.233230i | ||||
\(863\) | −32.7600 | −1.11516 | −0.557581 | − | 0.830123i | \(-0.688270\pi\) | ||||
−0.557581 | + | 0.830123i | \(0.688270\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 9.55106 | + | 16.5429i | 0.324746 | + | 0.562476i | ||||
\(866\) | 16.3963 | 0.557170 | ||||||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −4.66184 | + | 8.07454i | −0.158233 | + | 0.274068i | ||||
\(869\) | 11.4123 | − | 19.7666i | 0.387135 | − | 0.670537i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −0.618124 | + | 0.489802i | −0.0209443 | + | 0.0165963i | ||||
\(872\) | 5.70553 | 0.193214 | ||||||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 0.855989 | − | 1.48262i | 0.0289542 | − | 0.0501502i | ||||
\(875\) | −2.21251 | − | 3.83219i | −0.0747966 | − | 0.129552i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 4.46327 | + | 7.73061i | 0.150714 | + | 0.261044i | 0.931490 | − | 0.363767i | \(-0.118509\pi\) |
−0.780776 | + | 0.624811i | \(0.785176\pi\) | |||||||
\(878\) | −14.6448 | − | 25.3655i | −0.494238 | − | 0.856045i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −3.97473 | − | 6.88443i | −0.133988 | − | 0.232074i | ||||
\(881\) | −13.7612 | + | 23.8351i | −0.463626 | + | 0.803023i | −0.999138 | − | 0.0415038i | \(-0.986785\pi\) |
0.535513 | + | 0.844527i | \(0.320118\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 43.2667 | 1.45604 | 0.728020 | − | 0.685555i | \(-0.240441\pi\) | ||||
0.728020 | + | 0.685555i | \(0.240441\pi\) | |||||||
\(884\) | −4.53277 | + | 3.59177i | −0.152453 | + | 0.120804i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −12.3368 | + | 21.3680i | −0.414463 | + | 0.717871i | ||||
\(887\) | 14.6659 | − | 25.4021i | 0.492433 | − | 0.852919i | −0.507529 | − | 0.861635i | \(-0.669441\pi\) |
0.999962 | + | 0.00871562i | \(0.00277430\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 13.4554 | 0.451281 | ||||||||
\(890\) | −0.765111 | − | 1.32521i | −0.0256466 | − | 0.0444212i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −5.46060 | −0.182834 | ||||||||
\(893\) | −4.46239 | − | 7.72909i | −0.149328 | − | 0.258644i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 5.47145 | − | 9.47683i | 0.182890 | − | 0.316775i | ||||
\(896\) | 43.2940 | 1.44635 | ||||||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 20.0118 | 0.667802 | ||||||||
\(899\) | −0.957338 | + | 1.65816i | −0.0319290 | + | 0.0553027i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −8.41696 | − | 14.5786i | −0.280409 | − | 0.485683i | ||||
\(902\) | 25.0372 | 0.833647 | ||||||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −12.5561 | − | 21.7478i | −0.417610 | − | 0.723322i | ||||
\(905\) | 1.45122 | 0.0482403 | ||||||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 17.6899 | − | 30.6399i | 0.587385 | − | 1.01738i | −0.407189 | − | 0.913344i | \(-0.633491\pi\) |
0.994574 | − | 0.104036i | \(-0.0331757\pi\) | |||||||
\(908\) | 13.6756 | − | 23.6868i | 0.453841 | − | 0.786075i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −26.8535 | − | 10.6357i | −0.890183 | − | 0.352569i | ||||
\(911\) | −46.6105 | −1.54428 | −0.772138 | − | 0.635455i | \(-0.780812\pi\) | ||||
−0.772138 | + | 0.635455i | \(0.780812\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 8.90856 | − | 15.4301i | 0.294830 | − | 0.510661i | ||||
\(914\) | 21.9366 | + | 37.9953i | 0.725599 | + | 1.25677i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −0.422453 | − | 0.731710i | −0.0139582 | − | 0.0241764i | ||||
\(917\) | −34.2706 | − | 59.3584i | −1.13171 | − | 1.96019i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 13.1933 | + | 22.8514i | 0.435205 | + | 0.753798i | 0.997312 | − | 0.0732669i | \(-0.0233425\pi\) |
−0.562107 | + | 0.827064i | \(0.690009\pi\) | |||||||
\(920\) | −0.855989 | + | 1.48262i | −0.0282211 | + | 0.0488804i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 48.3279 | 1.59159 | ||||||||
\(923\) | 3.07435 | + | 20.8362i | 0.101193 | + | 0.685833i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −2.46157 | + | 4.26356i | −0.0809359 | + | 0.140185i | ||||
\(926\) | 17.9345 | − | 31.0634i | 0.589364 | − | 1.02081i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −7.30688 | −0.239860 | ||||||||
\(929\) | 2.76179 | + | 4.78355i | 0.0906113 | + | 0.156943i | 0.907768 | − | 0.419472i | \(-0.137785\pi\) |
−0.817157 | + | 0.576415i | \(0.804451\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −9.09297 | −0.298010 | ||||||||
\(932\) | 8.53612 | + | 14.7850i | 0.279610 | + | 0.484299i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −20.3345 | + | 35.2204i | −0.665366 | + | 1.15245i | ||||
\(935\) | −2.02782 | −0.0663167 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 7.15026 | 0.233589 | 0.116794 | − | 0.993156i | \(-0.462738\pi\) | ||||
0.116794 | + | 0.993156i | \(0.462738\pi\) | |||||||
\(938\) | −0.876108 | + | 1.51746i | −0.0286059 | + | 0.0495469i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −7.88578 | − | 13.6586i | −0.257206 | − | 0.445493i | ||||
\(941\) | −19.8331 | −0.646541 | −0.323271 | − | 0.946307i | \(-0.604782\pi\) | ||||
−0.323271 | + | 0.946307i | \(0.604782\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −5.60344 | − | 9.70545i | −0.182473 | − | 0.316053i | ||||
\(944\) | 21.0951 | 0.686587 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 10.4556 | − | 18.1097i | 0.339942 | − | 0.588797i | ||||
\(947\) | 1.59561 | − | 2.76368i | 0.0518503 | − | 0.0898074i | −0.838935 | − | 0.544231i | \(-0.816821\pi\) |
0.890786 | + | 0.454424i | \(0.150155\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 33.2353 | + | 13.1633i | 1.07886 | + | 0.427298i | ||||
\(950\) | 1.30843 | 0.0424509 | ||||||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 3.63554 | − | 6.29693i | 0.117828 | − | 0.204085i | ||||
\(953\) | 20.4893 | + | 35.4885i | 0.663713 | + | 1.14958i | 0.979633 | + | 0.200799i | \(0.0643537\pi\) |
−0.315920 | + | 0.948786i | \(0.602313\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −7.33986 | − | 12.7130i | −0.237512 | − | 0.411384i | ||||
\(956\) | 2.83763 | + | 4.91492i | 0.0917756 | + | 0.158960i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 22.7813 | + | 39.4584i | 0.736030 | + | 1.27484i | ||||
\(959\) | 19.2453 | − | 33.3338i | 0.621463 | − | 1.07640i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −28.2786 | −0.912212 | ||||||||
\(962\) | 4.69056 | + | 31.7900i | 0.151230 | + | 1.02495i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 9.21053 | − | 15.9531i | 0.296651 | − | 0.513815i | ||||
\(965\) | −9.91692 | + | 17.1766i | −0.319237 | + | 0.552935i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −41.6355 | −1.33891 | −0.669453 | − | 0.742854i | \(-0.733471\pi\) | ||||
−0.669453 | + | 0.742854i | \(0.733471\pi\) | |||||||
\(968\) | 5.49061 | + | 9.51002i | 0.176475 | + | 0.305664i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 24.5378 | 0.787862 | ||||||||
\(971\) | 10.5968 | + | 18.3541i | 0.340067 | + | 0.589013i | 0.984445 | − | 0.175694i | \(-0.0562171\pi\) |
−0.644378 | + | 0.764707i | \(0.722884\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 4.48768 | − | 7.77288i | 0.143868 | − | 0.249187i | ||||
\(974\) | 53.5023 | 1.71433 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −27.8141 | −0.890309 | ||||||||
\(977\) | 8.11660 | − | 14.0584i | 0.259673 | − | 0.449767i | −0.706481 | − | 0.707732i | \(-0.749719\pi\) |
0.966154 | + | 0.257965i | \(0.0830519\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −0.682442 | − | 1.18202i | −0.0218109 | − | 0.0377777i | ||||
\(980\) | −16.0688 | −0.513298 | ||||||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 13.9923 | + | 24.2354i | 0.446513 | + | 0.773384i | ||||
\(983\) | 27.0181 | 0.861743 | 0.430872 | − | 0.902413i | \(-0.358206\pi\) | ||||
0.430872 | + | 0.902413i | \(0.358206\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 6.19584 | − | 10.7315i | 0.197416 | − | 0.341934i | ||||
\(986\) | −1.31933 | + | 2.28515i | −0.0420160 | + | 0.0727739i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 2.60871 | − | 2.06714i | 0.0829940 | − | 0.0657645i | ||||
\(989\) | −9.36009 | −0.297634 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 8.49526 | − | 14.7142i | 0.269861 | − | 0.467413i | −0.698965 | − | 0.715156i | \(-0.746356\pi\) |
0.968826 | + | 0.247743i | \(0.0796890\pi\) | |||||||
\(992\) | 5.19284 | + | 8.99426i | 0.164873 | + | 0.285568i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 23.3972 | + | 40.5252i | 0.742115 | + | 1.28538i | ||||
\(995\) | 11.5563 | + | 20.0162i | 0.366361 | + | 0.634556i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −19.7128 | − | 34.1435i | −0.624309 | − | 1.08134i | −0.988674 | − | 0.150079i | \(-0.952047\pi\) |
0.364365 | − | 0.931256i | \(-0.381286\pi\) | |||||||
\(998\) | −1.25158 | + | 2.16781i | −0.0396182 | + | 0.0686208i | ||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 585.2.j.i.451.4 | yes | 10 | |
3.2 | odd | 2 | 585.2.j.h.451.2 | yes | 10 | ||
13.3 | even | 3 | inner | 585.2.j.i.406.4 | yes | 10 | |
13.4 | even | 6 | 7605.2.a.cn.1.4 | 5 | |||
13.9 | even | 3 | 7605.2.a.cm.1.2 | 5 | |||
39.17 | odd | 6 | 7605.2.a.cl.1.2 | 5 | |||
39.29 | odd | 6 | 585.2.j.h.406.2 | ✓ | 10 | ||
39.35 | odd | 6 | 7605.2.a.co.1.4 | 5 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
585.2.j.h.406.2 | ✓ | 10 | 39.29 | odd | 6 | ||
585.2.j.h.451.2 | yes | 10 | 3.2 | odd | 2 | ||
585.2.j.i.406.4 | yes | 10 | 13.3 | even | 3 | inner | |
585.2.j.i.451.4 | yes | 10 | 1.1 | even | 1 | trivial | |
7605.2.a.cl.1.2 | 5 | 39.17 | odd | 6 | |||
7605.2.a.cm.1.2 | 5 | 13.9 | even | 3 | |||
7605.2.a.cn.1.4 | 5 | 13.4 | even | 6 | |||
7605.2.a.co.1.4 | 5 | 39.35 | odd | 6 |