Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [825,2,Mod(301,825)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(825, base_ring=CyclotomicField(10))
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("825.301");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 825 = 3 \cdot 5^{2} \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 825.n (of order \(5\), degree \(4\), 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: | \(6.58765816676\) |
Analytic rank: | \(1\) |
Dimension: | \(4\) |
Coefficient field: | \(\Q(\zeta_{10})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{4} - x^{3} + x^{2} - x + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 33) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 676.1 | ||
Root | \(-0.309017 + 0.951057i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 825.676 |
Dual form | 825.2.n.c.526.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/825\mathbb{Z}\right)^\times\).
\(n\) | \(376\) | \(551\) | \(727\) |
\(\chi(n)\) | \(e\left(\frac{2}{5}\right)\) | \(1\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.809017 | + | 2.48990i | 0.572061 | + | 1.76062i | 0.645974 | + | 0.763359i | \(0.276451\pi\) |
−0.0739128 | + | 0.997265i | \(0.523549\pi\) | |||||||
\(3\) | −0.809017 | − | 0.587785i | −0.467086 | − | 0.339358i | ||||
\(4\) | −3.92705 | + | 2.85317i | −1.96353 | + | 1.42658i | ||||
\(5\) | 0 | 0 | ||||||||
\(6\) | 0.809017 | − | 2.48990i | 0.330280 | − | 1.01650i | ||||
\(7\) | −0.809017 | + | 0.587785i | −0.305780 | + | 0.222162i | −0.730084 | − | 0.683358i | \(-0.760519\pi\) |
0.424304 | + | 0.905520i | \(0.360519\pi\) | |||||||
\(8\) | −6.04508 | − | 4.39201i | −2.13726 | − | 1.55281i | ||||
\(9\) | 0.309017 | + | 0.951057i | 0.103006 | + | 0.317019i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −3.30902 | + | 0.224514i | −0.997706 | + | 0.0676935i | ||||
\(12\) | 4.85410 | 1.40126 | ||||||||
\(13\) | −0.0729490 | − | 0.224514i | −0.0202324 | − | 0.0622690i | 0.940431 | − | 0.339986i | \(-0.110422\pi\) |
−0.960663 | + | 0.277717i | \(0.910422\pi\) | |||||||
\(14\) | −2.11803 | − | 1.53884i | −0.566068 | − | 0.411273i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 3.04508 | − | 9.37181i | 0.761271 | − | 2.34295i | ||||
\(17\) | 0.354102 | − | 1.08981i | 0.0858823 | − | 0.264319i | −0.898888 | − | 0.438178i | \(-0.855624\pi\) |
0.984770 | + | 0.173860i | \(0.0556239\pi\) | |||||||
\(18\) | −2.11803 | + | 1.53884i | −0.499225 | + | 0.362708i | ||||
\(19\) | −4.73607 | − | 3.44095i | −1.08653 | − | 0.789409i | −0.107719 | − | 0.994181i | \(-0.534355\pi\) |
−0.978810 | + | 0.204772i | \(0.934355\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 1.00000 | 0.218218 | ||||||||
\(22\) | −3.23607 | − | 8.05748i | −0.689932 | − | 1.71786i | ||||
\(23\) | −0.236068 | −0.0492236 | −0.0246118 | − | 0.999697i | \(-0.507835\pi\) | ||||
−0.0246118 | + | 0.999697i | \(0.507835\pi\) | |||||||
\(24\) | 2.30902 | + | 7.10642i | 0.471326 | + | 1.45059i | ||||
\(25\) | 0 | 0 | ||||||||
\(26\) | 0.500000 | − | 0.363271i | 0.0980581 | − | 0.0712434i | ||||
\(27\) | 0.309017 | − | 0.951057i | 0.0594703 | − | 0.183031i | ||||
\(28\) | 1.50000 | − | 4.61653i | 0.283473 | − | 0.872441i | ||||
\(29\) | 4.85410 | − | 3.52671i | 0.901384 | − | 0.654894i | −0.0374370 | − | 0.999299i | \(-0.511919\pi\) |
0.938821 | + | 0.344405i | \(0.111919\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −1.88197 | − | 5.79210i | −0.338011 | − | 1.04029i | −0.965220 | − | 0.261440i | \(-0.915803\pi\) |
0.627209 | − | 0.778851i | \(-0.284197\pi\) | |||||||
\(32\) | 10.8541 | 1.91875 | ||||||||
\(33\) | 2.80902 | + | 1.76336i | 0.488987 | + | 0.306961i | ||||
\(34\) | 3.00000 | 0.514496 | ||||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | −3.92705 | − | 2.85317i | −0.654508 | − | 0.475528i | ||||
\(37\) | −5.04508 | + | 3.66547i | −0.829407 | + | 0.602599i | −0.919391 | − | 0.393344i | \(-0.871318\pi\) |
0.0899846 | + | 0.995943i | \(0.471318\pi\) | |||||||
\(38\) | 4.73607 | − | 14.5761i | 0.768292 | − | 2.36456i | ||||
\(39\) | −0.0729490 | + | 0.224514i | −0.0116812 | + | 0.0359510i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −0.190983 | − | 0.138757i | −0.0298265 | − | 0.0216702i | 0.572772 | − | 0.819715i | \(-0.305868\pi\) |
−0.602599 | + | 0.798044i | \(0.705868\pi\) | |||||||
\(42\) | 0.809017 | + | 2.48990i | 0.124834 | + | 0.384200i | ||||
\(43\) | 6.70820 | 1.02299 | 0.511496 | − | 0.859286i | \(-0.329092\pi\) | ||||
0.511496 | + | 0.859286i | \(0.329092\pi\) | |||||||
\(44\) | 12.3541 | − | 10.3229i | 1.86245 | − | 1.55623i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −0.190983 | − | 0.587785i | −0.0281589 | − | 0.0866642i | ||||
\(47\) | −8.16312 | − | 5.93085i | −1.19071 | − | 0.865104i | −0.197374 | − | 0.980328i | \(-0.563241\pi\) |
−0.993339 | + | 0.115224i | \(0.963241\pi\) | |||||||
\(48\) | −7.97214 | + | 5.79210i | −1.15068 | + | 0.836017i | ||||
\(49\) | −1.85410 | + | 5.70634i | −0.264872 | + | 0.815191i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −0.927051 | + | 0.673542i | −0.129813 | + | 0.0943147i | ||||
\(52\) | 0.927051 | + | 0.673542i | 0.128559 | + | 0.0934035i | ||||
\(53\) | 0.118034 | + | 0.363271i | 0.0162132 | + | 0.0498991i | 0.958836 | − | 0.283961i | \(-0.0916486\pi\) |
−0.942623 | + | 0.333860i | \(0.891649\pi\) | |||||||
\(54\) | 2.61803 | 0.356269 | ||||||||
\(55\) | 0 | 0 | ||||||||
\(56\) | 7.47214 | 0.998506 | ||||||||
\(57\) | 1.80902 | + | 5.56758i | 0.239610 | + | 0.737444i | ||||
\(58\) | 12.7082 | + | 9.23305i | 1.66867 | + | 1.21236i | ||||
\(59\) | −5.97214 | + | 4.33901i | −0.777506 | + | 0.564891i | −0.904229 | − | 0.427047i | \(-0.859554\pi\) |
0.126724 | + | 0.991938i | \(0.459554\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −3.57295 | + | 10.9964i | −0.457469 | + | 1.40795i | 0.410742 | + | 0.911751i | \(0.365270\pi\) |
−0.868212 | + | 0.496194i | \(0.834730\pi\) | |||||||
\(62\) | 12.8992 | − | 9.37181i | 1.63820 | − | 1.19022i | ||||
\(63\) | −0.809017 | − | 0.587785i | −0.101927 | − | 0.0740540i | ||||
\(64\) | 2.69098 | + | 8.28199i | 0.336373 | + | 1.03525i | ||||
\(65\) | 0 | 0 | ||||||||
\(66\) | −2.11803 | + | 8.42075i | −0.260712 | + | 1.03652i | ||||
\(67\) | −1.85410 | −0.226515 | −0.113257 | − | 0.993566i | \(-0.536128\pi\) | ||||
−0.113257 | + | 0.993566i | \(0.536128\pi\) | |||||||
\(68\) | 1.71885 | + | 5.29007i | 0.208441 | + | 0.641515i | ||||
\(69\) | 0.190983 | + | 0.138757i | 0.0229917 | + | 0.0167044i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 3.19098 | − | 9.82084i | 0.378700 | − | 1.16552i | −0.562248 | − | 0.826968i | \(-0.690063\pi\) |
0.940948 | − | 0.338550i | \(-0.109937\pi\) | |||||||
\(72\) | 2.30902 | − | 7.10642i | 0.272120 | − | 0.837500i | ||||
\(73\) | −4.61803 | + | 3.35520i | −0.540500 | + | 0.392696i | −0.824271 | − | 0.566196i | \(-0.808415\pi\) |
0.283771 | + | 0.958892i | \(0.408415\pi\) | |||||||
\(74\) | −13.2082 | − | 9.59632i | −1.53542 | − | 1.11555i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 28.4164 | 3.25959 | ||||||||
\(77\) | 2.54508 | − | 2.12663i | 0.290039 | − | 0.242352i | ||||
\(78\) | −0.618034 | −0.0699786 | ||||||||
\(79\) | 3.39919 | + | 10.4616i | 0.382438 | + | 1.17702i | 0.938322 | + | 0.345764i | \(0.112380\pi\) |
−0.555883 | + | 0.831260i | \(0.687620\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −0.809017 | + | 0.587785i | −0.0898908 | + | 0.0653095i | ||||
\(82\) | 0.190983 | − | 0.587785i | 0.0210905 | − | 0.0649100i | ||||
\(83\) | −0.454915 | + | 1.40008i | −0.0499334 | + | 0.153679i | −0.972914 | − | 0.231167i | \(-0.925746\pi\) |
0.922981 | + | 0.384846i | \(0.125746\pi\) | |||||||
\(84\) | −3.92705 | + | 2.85317i | −0.428476 | + | 0.311306i | ||||
\(85\) | 0 | 0 | ||||||||
\(86\) | 5.42705 | + | 16.7027i | 0.585214 | + | 1.80110i | ||||
\(87\) | −6.00000 | −0.643268 | ||||||||
\(88\) | 20.9894 | + | 13.1760i | 2.23747 | + | 1.40457i | ||||
\(89\) | −8.23607 | −0.873021 | −0.436511 | − | 0.899699i | \(-0.643786\pi\) | ||||
−0.436511 | + | 0.899699i | \(0.643786\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 0.190983 | + | 0.138757i | 0.0200205 | + | 0.0145457i | ||||
\(92\) | 0.927051 | − | 0.673542i | 0.0966517 | − | 0.0702216i | ||||
\(93\) | −1.88197 | + | 5.79210i | −0.195151 | + | 0.600612i | ||||
\(94\) | 8.16312 | − | 25.1235i | 0.841961 | − | 2.59129i | ||||
\(95\) | 0 | 0 | ||||||||
\(96\) | −8.78115 | − | 6.37988i | −0.896223 | − | 0.651144i | ||||
\(97\) | −2.42705 | − | 7.46969i | −0.246430 | − | 0.758433i | −0.995398 | − | 0.0958268i | \(-0.969451\pi\) |
0.748968 | − | 0.662606i | \(-0.230549\pi\) | |||||||
\(98\) | −15.7082 | −1.58677 | ||||||||
\(99\) | −1.23607 | − | 3.07768i | −0.124230 | − | 0.309319i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −3.16312 | − | 9.73508i | −0.314742 | − | 0.968677i | −0.975860 | − | 0.218395i | \(-0.929918\pi\) |
0.661118 | − | 0.750282i | \(-0.270082\pi\) | |||||||
\(102\) | −2.42705 | − | 1.76336i | −0.240314 | − | 0.174598i | ||||
\(103\) | −8.85410 | + | 6.43288i | −0.872421 | + | 0.633851i | −0.931235 | − | 0.364418i | \(-0.881268\pi\) |
0.0588148 | + | 0.998269i | \(0.481268\pi\) | |||||||
\(104\) | −0.545085 | + | 1.67760i | −0.0534500 | + | 0.164502i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −0.809017 | + | 0.587785i | −0.0785787 | + | 0.0570908i | ||||
\(107\) | −9.28115 | − | 6.74315i | −0.897243 | − | 0.651885i | 0.0405134 | − | 0.999179i | \(-0.487101\pi\) |
−0.937756 | + | 0.347294i | \(0.887101\pi\) | |||||||
\(108\) | 1.50000 | + | 4.61653i | 0.144338 | + | 0.444225i | ||||
\(109\) | −12.0000 | −1.14939 | −0.574696 | − | 0.818367i | \(-0.694880\pi\) | ||||
−0.574696 | + | 0.818367i | \(0.694880\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 6.23607 | 0.591901 | ||||||||
\(112\) | 3.04508 | + | 9.37181i | 0.287733 | + | 0.885553i | ||||
\(113\) | 10.8992 | + | 7.91872i | 1.02531 | + | 0.744931i | 0.967364 | − | 0.253389i | \(-0.0815453\pi\) |
0.0579448 | + | 0.998320i | \(0.481545\pi\) | |||||||
\(114\) | −12.3992 | + | 9.00854i | −1.16129 | + | 0.843727i | ||||
\(115\) | 0 | 0 | ||||||||
\(116\) | −9.00000 | + | 27.6992i | −0.835629 | + | 2.57180i | ||||
\(117\) | 0.190983 | − | 0.138757i | 0.0176564 | − | 0.0128281i | ||||
\(118\) | −15.6353 | − | 11.3597i | −1.43934 | − | 1.04574i | ||||
\(119\) | 0.354102 | + | 1.08981i | 0.0324605 | + | 0.0999031i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 10.8992 | − | 1.48584i | 0.990835 | − | 0.135076i | ||||
\(122\) | −30.2705 | −2.74056 | ||||||||
\(123\) | 0.0729490 | + | 0.224514i | 0.00657759 | + | 0.0202437i | ||||
\(124\) | 23.9164 | + | 17.3763i | 2.14776 | + | 1.56044i | ||||
\(125\) | 0 | 0 | ||||||||
\(126\) | 0.809017 | − | 2.48990i | 0.0720730 | − | 0.221818i | ||||
\(127\) | −2.38197 | + | 7.33094i | −0.211365 | + | 0.650516i | 0.788026 | + | 0.615641i | \(0.211103\pi\) |
−0.999392 | + | 0.0348741i | \(0.988897\pi\) | |||||||
\(128\) | −0.881966 | + | 0.640786i | −0.0779555 | + | 0.0566380i | ||||
\(129\) | −5.42705 | − | 3.94298i | −0.477825 | − | 0.347160i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −11.7984 | −1.03083 | −0.515414 | − | 0.856941i | \(-0.672362\pi\) | ||||
−0.515414 | + | 0.856941i | \(0.672362\pi\) | |||||||
\(132\) | −16.0623 | + | 1.08981i | −1.39804 | + | 0.0948561i | ||||
\(133\) | 5.85410 | 0.507615 | ||||||||
\(134\) | −1.50000 | − | 4.61653i | −0.129580 | − | 0.398807i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −6.92705 | + | 5.03280i | −0.593990 | + | 0.431559i | ||||
\(137\) | −3.01722 | + | 9.28605i | −0.257779 | + | 0.793361i | 0.735491 | + | 0.677535i | \(0.236952\pi\) |
−0.993269 | + | 0.115826i | \(0.963048\pi\) | |||||||
\(138\) | −0.190983 | + | 0.587785i | −0.0162576 | + | 0.0500356i | ||||
\(139\) | −11.7812 | + | 8.55951i | −0.999264 | + | 0.726008i | −0.961930 | − | 0.273295i | \(-0.911887\pi\) |
−0.0373340 | + | 0.999303i | \(0.511887\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 3.11803 | + | 9.59632i | 0.262586 | + | 0.808156i | ||||
\(142\) | 27.0344 | 2.26868 | ||||||||
\(143\) | 0.291796 | + | 0.726543i | 0.0244012 | + | 0.0607565i | ||||
\(144\) | 9.85410 | 0.821175 | ||||||||
\(145\) | 0 | 0 | ||||||||
\(146\) | −12.0902 | − | 8.78402i | −1.00059 | − | 0.726971i | ||||
\(147\) | 4.85410 | − | 3.52671i | 0.400360 | − | 0.290878i | ||||
\(148\) | 9.35410 | − | 28.7890i | 0.768902 | − | 2.36644i | ||||
\(149\) | −1.30902 | + | 4.02874i | −0.107239 | + | 0.330047i | −0.990249 | − | 0.139306i | \(-0.955513\pi\) |
0.883011 | + | 0.469353i | \(0.155513\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −0.854102 | − | 0.620541i | −0.0695058 | − | 0.0504989i | 0.552490 | − | 0.833520i | \(-0.313678\pi\) |
−0.621996 | + | 0.783021i | \(0.713678\pi\) | |||||||
\(152\) | 13.5172 | + | 41.6017i | 1.09639 | + | 3.37435i | ||||
\(153\) | 1.14590 | 0.0926404 | ||||||||
\(154\) | 7.35410 | + | 4.61653i | 0.592610 | + | 0.372010i | ||||
\(155\) | 0 | 0 | ||||||||
\(156\) | −0.354102 | − | 1.08981i | −0.0283508 | − | 0.0872549i | ||||
\(157\) | 12.7082 | + | 9.23305i | 1.01423 | + | 0.736878i | 0.965091 | − | 0.261915i | \(-0.0843539\pi\) |
0.0491340 | + | 0.998792i | \(0.484354\pi\) | |||||||
\(158\) | −23.2984 | + | 16.9273i | −1.85352 | + | 1.34666i | ||||
\(159\) | 0.118034 | − | 0.363271i | 0.00936070 | − | 0.0288093i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 0.190983 | − | 0.138757i | 0.0150516 | − | 0.0109356i | ||||
\(162\) | −2.11803 | − | 1.53884i | −0.166408 | − | 0.120903i | ||||
\(163\) | 1.59017 | + | 4.89404i | 0.124552 | + | 0.383331i | 0.993819 | − | 0.111011i | \(-0.0354090\pi\) |
−0.869267 | + | 0.494342i | \(0.835409\pi\) | |||||||
\(164\) | 1.14590 | 0.0894796 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −3.85410 | −0.299136 | ||||||||
\(167\) | −3.71885 | − | 11.4454i | −0.287773 | − | 0.885674i | −0.985554 | − | 0.169363i | \(-0.945829\pi\) |
0.697781 | − | 0.716311i | \(-0.254171\pi\) | |||||||
\(168\) | −6.04508 | − | 4.39201i | −0.466388 | − | 0.338851i | ||||
\(169\) | 10.4721 | − | 7.60845i | 0.805549 | − | 0.585266i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 1.80902 | − | 5.56758i | 0.138339 | − | 0.425764i | ||||
\(172\) | −26.3435 | + | 19.1396i | −2.00867 | + | 1.45938i | ||||
\(173\) | −14.5902 | − | 10.6004i | −1.10927 | − | 0.805932i | −0.126722 | − | 0.991938i | \(-0.540445\pi\) |
−0.982549 | + | 0.186006i | \(0.940445\pi\) | |||||||
\(174\) | −4.85410 | − | 14.9394i | −0.367989 | − | 1.13255i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | −7.97214 | + | 31.6951i | −0.600922 | + | 2.38911i | ||||
\(177\) | 7.38197 | 0.554863 | ||||||||
\(178\) | −6.66312 | − | 20.5070i | −0.499422 | − | 1.53706i | ||||
\(179\) | 6.89919 | + | 5.01255i | 0.515669 | + | 0.374656i | 0.814970 | − | 0.579503i | \(-0.196753\pi\) |
−0.299301 | + | 0.954159i | \(0.596753\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 0.781153 | − | 2.40414i | 0.0580626 | − | 0.178698i | −0.917819 | − | 0.396999i | \(-0.870051\pi\) |
0.975881 | + | 0.218301i | \(0.0700515\pi\) | |||||||
\(182\) | −0.190983 | + | 0.587785i | −0.0141566 | + | 0.0435695i | ||||
\(183\) | 9.35410 | − | 6.79615i | 0.691475 | − | 0.502386i | ||||
\(184\) | 1.42705 | + | 1.03681i | 0.105204 | + | 0.0764349i | ||||
\(185\) | 0 | 0 | ||||||||
\(186\) | −15.9443 | −1.16909 | ||||||||
\(187\) | −0.927051 | + | 3.68571i | −0.0677927 | + | 0.269526i | ||||
\(188\) | 48.9787 | 3.57214 | ||||||||
\(189\) | 0.309017 | + | 0.951057i | 0.0224777 | + | 0.0691792i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 0.663119 | − | 0.481784i | 0.0479816 | − | 0.0348607i | −0.563536 | − | 0.826092i | \(-0.690559\pi\) |
0.611518 | + | 0.791231i | \(0.290559\pi\) | |||||||
\(192\) | 2.69098 | − | 8.28199i | 0.194205 | − | 0.597701i | ||||
\(193\) | 0.972136 | − | 2.99193i | 0.0699759 | − | 0.215364i | −0.909953 | − | 0.414712i | \(-0.863882\pi\) |
0.979929 | + | 0.199348i | \(0.0638824\pi\) | |||||||
\(194\) | 16.6353 | − | 12.0862i | 1.19434 | − | 0.867740i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −9.00000 | − | 27.6992i | −0.642857 | − | 1.97851i | ||||
\(197\) | −13.0344 | −0.928666 | −0.464333 | − | 0.885661i | \(-0.653706\pi\) | ||||
−0.464333 | + | 0.885661i | \(0.653706\pi\) | |||||||
\(198\) | 6.66312 | − | 5.56758i | 0.473527 | − | 0.395671i | ||||
\(199\) | 6.70820 | 0.475532 | 0.237766 | − | 0.971322i | \(-0.423585\pi\) | ||||
0.237766 | + | 0.971322i | \(0.423585\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 1.50000 | + | 1.08981i | 0.105802 | + | 0.0768695i | ||||
\(202\) | 21.6803 | − | 15.7517i | 1.52542 | − | 1.10828i | ||||
\(203\) | −1.85410 | + | 5.70634i | −0.130132 | + | 0.400506i | ||||
\(204\) | 1.71885 | − | 5.29007i | 0.120343 | − | 0.370379i | ||||
\(205\) | 0 | 0 | ||||||||
\(206\) | −23.1803 | − | 16.8415i | −1.61505 | − | 1.17340i | ||||
\(207\) | −0.0729490 | − | 0.224514i | −0.00507031 | − | 0.0156048i | ||||
\(208\) | −2.32624 | −0.161296 | ||||||||
\(209\) | 16.4443 | + | 10.3229i | 1.13747 | + | 0.714047i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 1.11803 | + | 3.44095i | 0.0769686 | + | 0.236885i | 0.982137 | − | 0.188169i | \(-0.0602552\pi\) |
−0.905168 | + | 0.425054i | \(0.860255\pi\) | |||||||
\(212\) | −1.50000 | − | 1.08981i | −0.103020 | − | 0.0748487i | ||||
\(213\) | −8.35410 | + | 6.06961i | −0.572414 | + | 0.415883i | ||||
\(214\) | 9.28115 | − | 28.5645i | 0.634447 | − | 1.95263i | ||||
\(215\) | 0 | 0 | ||||||||
\(216\) | −6.04508 | + | 4.39201i | −0.411316 | + | 0.298839i | ||||
\(217\) | 4.92705 | + | 3.57971i | 0.334470 | + | 0.243007i | ||||
\(218\) | −9.70820 | − | 29.8788i | −0.657523 | − | 2.02365i | ||||
\(219\) | 5.70820 | 0.385725 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −0.270510 | −0.0181965 | ||||||||
\(222\) | 5.04508 | + | 15.5272i | 0.338604 | + | 1.04212i | ||||
\(223\) | 5.80902 | + | 4.22050i | 0.389001 | + | 0.282625i | 0.765046 | − | 0.643976i | \(-0.222716\pi\) |
−0.376045 | + | 0.926601i | \(0.622716\pi\) | |||||||
\(224\) | −8.78115 | + | 6.37988i | −0.586715 | + | 0.426274i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −10.8992 | + | 33.5442i | −0.725003 | + | 2.23133i | ||||
\(227\) | 10.6631 | − | 7.74721i | 0.707736 | − | 0.514200i | −0.174706 | − | 0.984621i | \(-0.555898\pi\) |
0.882443 | + | 0.470420i | \(0.155898\pi\) | |||||||
\(228\) | −22.9894 | − | 16.7027i | −1.52251 | − | 1.10617i | ||||
\(229\) | 0.145898 | + | 0.449028i | 0.00964121 | + | 0.0296726i | 0.955761 | − | 0.294143i | \(-0.0950342\pi\) |
−0.946120 | + | 0.323816i | \(0.895034\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −3.30902 | + | 0.224514i | −0.217717 | + | 0.0147719i | ||||
\(232\) | −44.8328 | −2.94342 | ||||||||
\(233\) | 1.28115 | + | 3.94298i | 0.0839311 | + | 0.258313i | 0.984211 | − | 0.176997i | \(-0.0566384\pi\) |
−0.900280 | + | 0.435311i | \(0.856638\pi\) | |||||||
\(234\) | 0.500000 | + | 0.363271i | 0.0326860 | + | 0.0237478i | ||||
\(235\) | 0 | 0 | ||||||||
\(236\) | 11.0729 | − | 34.0790i | 0.720788 | − | 2.21836i | ||||
\(237\) | 3.39919 | − | 10.4616i | 0.220801 | − | 0.679555i | ||||
\(238\) | −2.42705 | + | 1.76336i | −0.157322 | + | 0.114301i | ||||
\(239\) | −0.309017 | − | 0.224514i | −0.0199886 | − | 0.0145226i | 0.577746 | − | 0.816217i | \(-0.303932\pi\) |
−0.597735 | + | 0.801694i | \(0.703932\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 8.29180 | 0.534122 | 0.267061 | − | 0.963680i | \(-0.413948\pi\) | ||||
0.267061 | + | 0.963680i | \(0.413948\pi\) | |||||||
\(242\) | 12.5172 | + | 25.9358i | 0.804637 | + | 1.66722i | ||||
\(243\) | 1.00000 | 0.0641500 | ||||||||
\(244\) | −17.3435 | − | 53.3777i | −1.11030 | − | 3.41716i | ||||
\(245\) | 0 | 0 | ||||||||
\(246\) | −0.500000 | + | 0.363271i | −0.0318788 | + | 0.0231613i | ||||
\(247\) | −0.427051 | + | 1.31433i | −0.0271726 | + | 0.0836287i | ||||
\(248\) | −14.0623 | + | 43.2793i | −0.892957 | + | 2.74824i | ||||
\(249\) | 1.19098 | − | 0.865300i | 0.0754755 | − | 0.0548361i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −6.79180 | − | 20.9030i | −0.428694 | − | 1.31939i | −0.899412 | − | 0.437102i | \(-0.856005\pi\) |
0.470718 | − | 0.882284i | \(-0.343995\pi\) | |||||||
\(252\) | 4.85410 | 0.305780 | ||||||||
\(253\) | 0.781153 | − | 0.0530006i | 0.0491107 | − | 0.00333212i | ||||
\(254\) | −20.1803 | −1.26623 | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 11.7812 | + | 8.55951i | 0.736322 | + | 0.534969i | ||||
\(257\) | 24.0623 | − | 17.4823i | 1.50097 | − | 1.09052i | 0.530970 | − | 0.847390i | \(-0.321828\pi\) |
0.969995 | − | 0.243125i | \(-0.0781725\pi\) | |||||||
\(258\) | 5.42705 | − | 16.7027i | 0.337873 | − | 1.03987i | ||||
\(259\) | 1.92705 | − | 5.93085i | 0.119741 | − | 0.368525i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 4.85410 | + | 3.52671i | 0.300461 | + | 0.218298i | ||||
\(262\) | −9.54508 | − | 29.3768i | −0.589697 | − | 1.81490i | ||||
\(263\) | 15.2705 | 0.941620 | 0.470810 | − | 0.882235i | \(-0.343962\pi\) | ||||
0.470810 | + | 0.882235i | \(0.343962\pi\) | |||||||
\(264\) | −9.23607 | − | 22.9969i | −0.568441 | − | 1.41536i | ||||
\(265\) | 0 | 0 | ||||||||
\(266\) | 4.73607 | + | 14.5761i | 0.290387 | + | 0.893719i | ||||
\(267\) | 6.66312 | + | 4.84104i | 0.407776 | + | 0.296267i | ||||
\(268\) | 7.28115 | − | 5.29007i | 0.444767 | − | 0.323142i | ||||
\(269\) | −7.85410 | + | 24.1724i | −0.478873 | + | 1.47382i | 0.361789 | + | 0.932260i | \(0.382166\pi\) |
−0.840662 | + | 0.541560i | \(0.817834\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −15.0623 | + | 10.9434i | −0.914970 | + | 0.664765i | −0.942267 | − | 0.334863i | \(-0.891310\pi\) |
0.0272970 | + | 0.999627i | \(0.491310\pi\) | |||||||
\(272\) | −9.13525 | − | 6.63715i | −0.553906 | − | 0.402436i | ||||
\(273\) | −0.0729490 | − | 0.224514i | −0.00441508 | − | 0.0135882i | ||||
\(274\) | −25.5623 | −1.54428 | ||||||||
\(275\) | 0 | 0 | ||||||||
\(276\) | −1.14590 | −0.0689750 | ||||||||
\(277\) | 9.02786 | + | 27.7849i | 0.542432 | + | 1.66943i | 0.727019 | + | 0.686617i | \(0.240905\pi\) |
−0.184587 | + | 0.982816i | \(0.559095\pi\) | |||||||
\(278\) | −30.8435 | − | 22.4091i | −1.84987 | − | 1.34401i | ||||
\(279\) | 4.92705 | − | 3.57971i | 0.294975 | − | 0.214312i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 7.65248 | − | 23.5519i | 0.456508 | − | 1.40499i | −0.412847 | − | 0.910801i | \(-0.635465\pi\) |
0.869355 | − | 0.494188i | \(-0.164535\pi\) | |||||||
\(282\) | −21.3713 | + | 15.5272i | −1.27264 | + | 0.924630i | ||||
\(283\) | −4.61803 | − | 3.35520i | −0.274514 | − | 0.199446i | 0.442007 | − | 0.897011i | \(-0.354267\pi\) |
−0.716521 | + | 0.697566i | \(0.754267\pi\) | |||||||
\(284\) | 15.4894 | + | 47.6713i | 0.919124 | + | 2.82877i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −1.57295 | + | 1.31433i | −0.0930104 | + | 0.0777178i | ||||
\(287\) | 0.236068 | 0.0139347 | ||||||||
\(288\) | 3.35410 | + | 10.3229i | 0.197642 | + | 0.608281i | ||||
\(289\) | 12.6910 | + | 9.22054i | 0.746528 | + | 0.542385i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −2.42705 | + | 7.46969i | −0.142276 | + | 0.437881i | ||||
\(292\) | 8.56231 | − | 26.3521i | 0.501071 | − | 1.54214i | ||||
\(293\) | −17.5172 | + | 12.7270i | −1.02337 | + | 0.743520i | −0.966970 | − | 0.254889i | \(-0.917961\pi\) |
−0.0563966 | + | 0.998408i | \(0.517961\pi\) | |||||||
\(294\) | 12.7082 | + | 9.23305i | 0.741158 | + | 0.538482i | ||||
\(295\) | 0 | 0 | ||||||||
\(296\) | 46.5967 | 2.70838 | ||||||||
\(297\) | −0.809017 | + | 3.21644i | −0.0469439 | + | 0.186637i | ||||
\(298\) | −11.0902 | −0.642436 | ||||||||
\(299\) | 0.0172209 | + | 0.0530006i | 0.000995912 | + | 0.00306510i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −5.42705 | + | 3.94298i | −0.312810 | + | 0.227270i | ||||
\(302\) | 0.854102 | − | 2.62866i | 0.0491480 | − | 0.151262i | ||||
\(303\) | −3.16312 | + | 9.73508i | −0.181716 | + | 0.559266i | ||||
\(304\) | −46.6697 | + | 33.9075i | −2.67669 | + | 1.94473i | ||||
\(305\) | 0 | 0 | ||||||||
\(306\) | 0.927051 | + | 2.85317i | 0.0529960 | + | 0.163105i | ||||
\(307\) | −27.9787 | −1.59683 | −0.798415 | − | 0.602108i | \(-0.794328\pi\) | ||||
−0.798415 | + | 0.602108i | \(0.794328\pi\) | |||||||
\(308\) | −3.92705 | + | 15.6129i | −0.223764 | + | 0.889629i | ||||
\(309\) | 10.9443 | 0.622598 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −9.42705 | − | 6.84915i | −0.534559 | − | 0.388380i | 0.287501 | − | 0.957780i | \(-0.407175\pi\) |
−0.822060 | + | 0.569400i | \(0.807175\pi\) | |||||||
\(312\) | 1.42705 | − | 1.03681i | 0.0807909 | − | 0.0586980i | ||||
\(313\) | 0.781153 | − | 2.40414i | 0.0441534 | − | 0.135890i | −0.926550 | − | 0.376172i | \(-0.877240\pi\) |
0.970703 | + | 0.240282i | \(0.0772400\pi\) | |||||||
\(314\) | −12.7082 | + | 39.1118i | −0.717165 | + | 2.20721i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −43.1976 | − | 31.3849i | −2.43005 | − | 1.76554i | ||||
\(317\) | 2.10739 | + | 6.48588i | 0.118363 | + | 0.364283i | 0.992634 | − | 0.121155i | \(-0.0386599\pi\) |
−0.874271 | + | 0.485439i | \(0.838660\pi\) | |||||||
\(318\) | 1.00000 | 0.0560772 | ||||||||
\(319\) | −15.2705 | + | 12.7598i | −0.854984 | + | 0.714410i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 3.54508 | + | 10.9106i | 0.197867 | + | 0.608973i | ||||
\(322\) | 0.500000 | + | 0.363271i | 0.0278639 | + | 0.0202443i | ||||
\(323\) | −5.42705 | + | 3.94298i | −0.301969 | + | 0.219393i | ||||
\(324\) | 1.50000 | − | 4.61653i | 0.0833333 | − | 0.256474i | ||||
\(325\) | 0 | 0 | ||||||||
\(326\) | −10.8992 | + | 7.91872i | −0.603650 | + | 0.438577i | ||||
\(327\) | 9.70820 | + | 7.05342i | 0.536865 | + | 0.390055i | ||||
\(328\) | 0.545085 | + | 1.67760i | 0.0300973 | + | 0.0926299i | ||||
\(329\) | 10.0902 | 0.556289 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 16.7082 | 0.918366 | 0.459183 | − | 0.888342i | \(-0.348142\pi\) | ||||
0.459183 | + | 0.888342i | \(0.348142\pi\) | |||||||
\(332\) | −2.20820 | − | 6.79615i | −0.121191 | − | 0.372987i | ||||
\(333\) | −5.04508 | − | 3.66547i | −0.276469 | − | 0.200866i | ||||
\(334\) | 25.4894 | − | 18.5191i | 1.39472 | − | 1.01332i | ||||
\(335\) | 0 | 0 | ||||||||
\(336\) | 3.04508 | − | 9.37181i | 0.166123 | − | 0.511274i | ||||
\(337\) | −14.7082 | + | 10.6861i | −0.801207 | + | 0.582111i | −0.911268 | − | 0.411814i | \(-0.864895\pi\) |
0.110061 | + | 0.993925i | \(0.464895\pi\) | |||||||
\(338\) | 27.4164 | + | 19.9192i | 1.49126 | + | 1.08346i | ||||
\(339\) | −4.16312 | − | 12.8128i | −0.226110 | − | 0.695894i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 7.52786 | + | 18.7436i | 0.407657 | + | 1.01502i | ||||
\(342\) | 15.3262 | 0.828748 | ||||||||
\(343\) | −4.01722 | − | 12.3637i | −0.216910 | − | 0.667579i | ||||
\(344\) | −40.5517 | − | 29.4625i | −2.18640 | − | 1.58851i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 14.5902 | − | 44.9039i | 0.784372 | − | 2.41405i | ||||
\(347\) | 0.472136 | − | 1.45309i | 0.0253456 | − | 0.0780057i | −0.937584 | − | 0.347760i | \(-0.886942\pi\) |
0.962929 | + | 0.269754i | \(0.0869424\pi\) | |||||||
\(348\) | 23.5623 | − | 17.1190i | 1.26307 | − | 0.917676i | ||||
\(349\) | −10.2812 | − | 7.46969i | −0.550337 | − | 0.399844i | 0.277572 | − | 0.960705i | \(-0.410470\pi\) |
−0.827910 | + | 0.560861i | \(0.810470\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −0.236068 | −0.0126004 | ||||||||
\(352\) | −35.9164 | + | 2.43690i | −1.91435 | + | 0.129887i | ||||
\(353\) | 12.0000 | 0.638696 | 0.319348 | − | 0.947638i | \(-0.396536\pi\) | ||||
0.319348 | + | 0.947638i | \(0.396536\pi\) | |||||||
\(354\) | 5.97214 | + | 18.3803i | 0.317415 | + | 0.976904i | ||||
\(355\) | 0 | 0 | ||||||||
\(356\) | 32.3435 | − | 23.4989i | 1.71420 | − | 1.24544i | ||||
\(357\) | 0.354102 | − | 1.08981i | 0.0187411 | − | 0.0576791i | ||||
\(358\) | −6.89919 | + | 21.2335i | −0.364633 | + | 1.12223i | ||||
\(359\) | 7.85410 | − | 5.70634i | 0.414524 | − | 0.301169i | −0.360907 | − | 0.932602i | \(-0.617533\pi\) |
0.775431 | + | 0.631433i | \(0.217533\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 4.71885 | + | 14.5231i | 0.248360 | + | 0.764375i | ||||
\(362\) | 6.61803 | 0.347836 | ||||||||
\(363\) | −9.69098 | − | 5.20431i | −0.508645 | − | 0.273155i | ||||
\(364\) | −1.14590 | −0.0600614 | ||||||||
\(365\) | 0 | 0 | ||||||||
\(366\) | 24.4894 | + | 17.7926i | 1.28008 | + | 0.930032i | ||||
\(367\) | 17.9164 | − | 13.0170i | 0.935229 | − | 0.679484i | −0.0120386 | − | 0.999928i | \(-0.503832\pi\) |
0.947267 | + | 0.320444i | \(0.103832\pi\) | |||||||
\(368\) | −0.718847 | + | 2.21238i | −0.0374725 | + | 0.115328i | ||||
\(369\) | 0.0729490 | − | 0.224514i | 0.00379757 | − | 0.0116877i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −0.309017 | − | 0.224514i | −0.0160434 | − | 0.0116562i | ||||
\(372\) | −9.13525 | − | 28.1154i | −0.473641 | − | 1.45772i | ||||
\(373\) | −0.888544 | −0.0460071 | −0.0230035 | − | 0.999735i | \(-0.507323\pi\) | ||||
−0.0230035 | + | 0.999735i | \(0.507323\pi\) | |||||||
\(374\) | −9.92705 | + | 0.673542i | −0.513316 | + | 0.0348280i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 23.2984 | + | 71.7050i | 1.20152 | + | 3.69790i | ||||
\(377\) | −1.14590 | − | 0.832544i | −0.0590168 | − | 0.0428782i | ||||
\(378\) | −2.11803 | + | 1.53884i | −0.108940 | + | 0.0791495i | ||||
\(379\) | −7.69098 | + | 23.6704i | −0.395059 | + | 1.21587i | 0.533856 | + | 0.845575i | \(0.320742\pi\) |
−0.928915 | + | 0.370292i | \(0.879258\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 6.23607 | − | 4.53077i | 0.319483 | − | 0.232118i | ||||
\(382\) | 1.73607 | + | 1.26133i | 0.0888250 | + | 0.0645351i | ||||
\(383\) | 3.92705 | + | 12.0862i | 0.200663 | + | 0.617577i | 0.999864 | + | 0.0165128i | \(0.00525642\pi\) |
−0.799201 | + | 0.601064i | \(0.794744\pi\) | |||||||
\(384\) | 1.09017 | 0.0556325 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 8.23607 | 0.419205 | ||||||||
\(387\) | 2.07295 | + | 6.37988i | 0.105374 | + | 0.324308i | ||||
\(388\) | 30.8435 | + | 22.4091i | 1.56584 | + | 1.13765i | ||||
\(389\) | 29.7254 | − | 21.5968i | 1.50714 | − | 1.09500i | 0.539712 | − | 0.841850i | \(-0.318533\pi\) |
0.967427 | − | 0.253151i | \(-0.0814669\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −0.0835921 | + | 0.257270i | −0.00422744 | + | 0.0130107i | ||||
\(392\) | 36.2705 | − | 26.3521i | 1.83194 | − | 1.33098i | ||||
\(393\) | 9.54508 | + | 6.93491i | 0.481486 | + | 0.349820i | ||||
\(394\) | −10.5451 | − | 32.4544i | −0.531254 | − | 1.63503i | ||||
\(395\) | 0 | 0 | ||||||||
\(396\) | 13.6353 | + | 8.55951i | 0.685197 | + | 0.430131i | ||||
\(397\) | 18.7082 | 0.938938 | 0.469469 | − | 0.882949i | \(-0.344445\pi\) | ||||
0.469469 | + | 0.882949i | \(0.344445\pi\) | |||||||
\(398\) | 5.42705 | + | 16.7027i | 0.272033 | + | 0.837233i | ||||
\(399\) | −4.73607 | − | 3.44095i | −0.237100 | − | 0.172263i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −9.79180 | + | 30.1360i | −0.488979 | + | 1.50492i | 0.337155 | + | 0.941449i | \(0.390535\pi\) |
−0.826134 | + | 0.563473i | \(0.809465\pi\) | |||||||
\(402\) | −1.50000 | + | 4.61653i | −0.0748132 | + | 0.230251i | ||||
\(403\) | −1.16312 | + | 0.845055i | −0.0579391 | + | 0.0420952i | ||||
\(404\) | 40.1976 | + | 29.2052i | 1.99990 | + | 1.45301i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −15.7082 | −0.779585 | ||||||||
\(407\) | 15.8713 | − | 13.2618i | 0.786712 | − | 0.657363i | ||||
\(408\) | 8.56231 | 0.423897 | ||||||||
\(409\) | −2.00000 | − | 6.15537i | −0.0988936 | − | 0.304363i | 0.889355 | − | 0.457217i | \(-0.151154\pi\) |
−0.988249 | + | 0.152854i | \(0.951154\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 7.89919 | − | 5.73910i | 0.389638 | − | 0.283089i | ||||
\(412\) | 16.4164 | − | 50.5245i | 0.808778 | − | 2.48916i | ||||
\(413\) | 2.28115 | − | 7.02067i | 0.112248 | − | 0.345464i | ||||
\(414\) | 0.500000 | − | 0.363271i | 0.0245737 | − | 0.0178538i | ||||
\(415\) | 0 | 0 | ||||||||
\(416\) | −0.791796 | − | 2.43690i | −0.0388210 | − | 0.119479i | ||||
\(417\) | 14.5623 | 0.713119 | ||||||||
\(418\) | −12.3992 | + | 49.2959i | −0.606464 | + | 2.41114i | ||||
\(419\) | 31.4508 | 1.53647 | 0.768237 | − | 0.640165i | \(-0.221134\pi\) | ||||
0.768237 | + | 0.640165i | \(0.221134\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −8.50000 | − | 6.17561i | −0.414265 | − | 0.300981i | 0.361061 | − | 0.932542i | \(-0.382414\pi\) |
−0.775326 | + | 0.631561i | \(0.782414\pi\) | |||||||
\(422\) | −7.66312 | + | 5.56758i | −0.373035 | + | 0.271026i | ||||
\(423\) | 3.11803 | − | 9.59632i | 0.151604 | − | 0.466589i | ||||
\(424\) | 0.881966 | − | 2.71441i | 0.0428321 | − | 0.131824i | ||||
\(425\) | 0 | 0 | ||||||||
\(426\) | −21.8713 | − | 15.8904i | −1.05967 | − | 0.769895i | ||||
\(427\) | −3.57295 | − | 10.9964i | −0.172907 | − | 0.532153i | ||||
\(428\) | 55.6869 | 2.69173 | ||||||||
\(429\) | 0.190983 | − | 0.759299i | 0.00922075 | − | 0.0366593i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −1.82624 | − | 5.62058i | −0.0879668 | − | 0.270734i | 0.897390 | − | 0.441238i | \(-0.145460\pi\) |
−0.985357 | + | 0.170504i | \(0.945460\pi\) | |||||||
\(432\) | −7.97214 | − | 5.79210i | −0.383560 | − | 0.278672i | ||||
\(433\) | 28.5623 | − | 20.7517i | 1.37262 | − | 0.997264i | 0.375089 | − | 0.926989i | \(-0.377612\pi\) |
0.997528 | − | 0.0702758i | \(-0.0223879\pi\) | |||||||
\(434\) | −4.92705 | + | 15.1639i | −0.236506 | + | 0.727891i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 47.1246 | − | 34.2380i | 2.25686 | − | 1.63970i | ||||
\(437\) | 1.11803 | + | 0.812299i | 0.0534828 | + | 0.0388575i | ||||
\(438\) | 4.61803 | + | 14.2128i | 0.220658 | + | 0.679116i | ||||
\(439\) | 23.2918 | 1.11166 | 0.555828 | − | 0.831297i | \(-0.312401\pi\) | ||||
0.555828 | + | 0.831297i | \(0.312401\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −6.00000 | −0.285714 | ||||||||
\(442\) | −0.218847 | − | 0.673542i | −0.0104095 | − | 0.0320371i | ||||
\(443\) | −25.5623 | − | 18.5721i | −1.21450 | − | 0.882387i | −0.218870 | − | 0.975754i | \(-0.570237\pi\) |
−0.995632 | + | 0.0933668i | \(0.970237\pi\) | |||||||
\(444\) | −24.4894 | + | 17.7926i | −1.16221 | + | 0.844397i | ||||
\(445\) | 0 | 0 | ||||||||
\(446\) | −5.80902 | + | 17.8783i | −0.275065 | + | 0.846563i | ||||
\(447\) | 3.42705 | − | 2.48990i | 0.162094 | − | 0.117768i | ||||
\(448\) | −7.04508 | − | 5.11855i | −0.332849 | − | 0.241829i | ||||
\(449\) | −2.79837 | − | 8.61251i | −0.132063 | − | 0.406449i | 0.863058 | − | 0.505104i | \(-0.168546\pi\) |
−0.995122 | + | 0.0986549i | \(0.968546\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 0.663119 | + | 0.416272i | 0.0312251 | + | 0.0196015i | ||||
\(452\) | −65.3951 | −3.07593 | ||||||||
\(453\) | 0.326238 | + | 1.00406i | 0.0153280 | + | 0.0471747i | ||||
\(454\) | 27.9164 | + | 20.2825i | 1.31018 | + | 0.951903i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 13.5172 | − | 41.6017i | 0.633002 | − | 1.94818i | ||||
\(457\) | −7.40983 | + | 22.8051i | −0.346617 | + | 1.06678i | 0.614095 | + | 0.789232i | \(0.289521\pi\) |
−0.960712 | + | 0.277546i | \(0.910479\pi\) | |||||||
\(458\) | −1.00000 | + | 0.726543i | −0.0467269 | + | 0.0339491i | ||||
\(459\) | −0.927051 | − | 0.673542i | −0.0432710 | − | 0.0314382i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 9.27051 | 0.431771 | 0.215885 | − | 0.976419i | \(-0.430736\pi\) | ||||
0.215885 | + | 0.976419i | \(0.430736\pi\) | |||||||
\(462\) | −3.23607 | − | 8.05748i | −0.150556 | − | 0.374868i | ||||
\(463\) | −1.72949 | −0.0803762 | −0.0401881 | − | 0.999192i | \(-0.512796\pi\) | ||||
−0.0401881 | + | 0.999192i | \(0.512796\pi\) | |||||||
\(464\) | −18.2705 | − | 56.2308i | −0.848187 | − | 2.61045i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −8.78115 | + | 6.37988i | −0.406779 | + | 0.295542i | ||||
\(467\) | −6.45492 | + | 19.8662i | −0.298698 | + | 0.919297i | 0.683256 | + | 0.730179i | \(0.260563\pi\) |
−0.981954 | + | 0.189119i | \(0.939437\pi\) | |||||||
\(468\) | −0.354102 | + | 1.08981i | −0.0163684 | + | 0.0503767i | ||||
\(469\) | 1.50000 | − | 1.08981i | 0.0692636 | − | 0.0503229i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −4.85410 | − | 14.9394i | −0.223665 | − | 0.688371i | ||||
\(472\) | 55.1591 | 2.53890 | ||||||||
\(473\) | −22.1976 | + | 1.50609i | −1.02064 | + | 0.0692499i | ||||
\(474\) | 28.7984 | 1.32275 | ||||||||
\(475\) | 0 | 0 | ||||||||
\(476\) | −4.50000 | − | 3.26944i | −0.206257 | − | 0.149855i | ||||
\(477\) | −0.309017 | + | 0.224514i | −0.0141489 | + | 0.0102798i | ||||
\(478\) | 0.309017 | − | 0.951057i | 0.0141341 | − | 0.0435003i | ||||
\(479\) | −8.77051 | + | 26.9929i | −0.400735 | + | 1.23333i | 0.523670 | + | 0.851921i | \(0.324563\pi\) |
−0.924405 | + | 0.381414i | \(0.875437\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 1.19098 | + | 0.865300i | 0.0543042 | + | 0.0394543i | ||||
\(482\) | 6.70820 | + | 20.6457i | 0.305550 | + | 0.940387i | ||||
\(483\) | −0.236068 | −0.0107415 | ||||||||
\(484\) | −38.5623 | + | 36.9322i | −1.75283 | + | 1.67874i | ||||
\(485\) | 0 | 0 | ||||||||
\(486\) | 0.809017 | + | 2.48990i | 0.0366978 | + | 0.112944i | ||||
\(487\) | −10.2812 | − | 7.46969i | −0.465884 | − | 0.338484i | 0.329951 | − | 0.943998i | \(-0.392968\pi\) |
−0.795835 | + | 0.605514i | \(0.792968\pi\) | |||||||
\(488\) | 69.8951 | − | 50.7818i | 3.16400 | − | 2.29878i | ||||
\(489\) | 1.59017 | − | 4.89404i | 0.0719100 | − | 0.221316i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 14.4894 | − | 10.5271i | 0.653896 | − | 0.475083i | −0.210700 | − | 0.977551i | \(-0.567574\pi\) |
0.864596 | + | 0.502468i | \(0.167574\pi\) | |||||||
\(492\) | −0.927051 | − | 0.673542i | −0.0417947 | − | 0.0303656i | ||||
\(493\) | −2.12461 | − | 6.53888i | −0.0956877 | − | 0.294496i | ||||
\(494\) | −3.61803 | −0.162783 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −60.0132 | −2.69467 | ||||||||
\(497\) | 3.19098 | + | 9.82084i | 0.143135 | + | 0.440525i | ||||
\(498\) | 3.11803 | + | 2.26538i | 0.139722 | + | 0.101514i | ||||
\(499\) | 14.6803 | − | 10.6659i | 0.657182 | − | 0.477471i | −0.208528 | − | 0.978016i | \(-0.566867\pi\) |
0.865710 | + | 0.500546i | \(0.166867\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −3.71885 | + | 11.4454i | −0.166146 | + | 0.511344i | ||||
\(502\) | 46.5517 | − | 33.8218i | 2.07770 | − | 1.50954i | ||||
\(503\) | 7.00000 | + | 5.08580i | 0.312115 | + | 0.226765i | 0.732803 | − | 0.680441i | \(-0.238212\pi\) |
−0.420689 | + | 0.907205i | \(0.638212\pi\) | |||||||
\(504\) | 2.30902 | + | 7.10642i | 0.102852 | + | 0.316545i | ||||
\(505\) | 0 | 0 | ||||||||
\(506\) | 0.763932 | + | 1.90211i | 0.0339609 | + | 0.0845592i | ||||
\(507\) | −12.9443 | −0.574875 | ||||||||
\(508\) | −11.5623 | − | 35.5851i | −0.512994 | − | 1.57883i | ||||
\(509\) | −31.3435 | − | 22.7724i | −1.38927 | − | 1.00937i | −0.995945 | − | 0.0899695i | \(-0.971323\pi\) |
−0.393330 | − | 0.919397i | \(-0.628677\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 1.76393 | − | 5.42882i | 0.0780318 | − | 0.240157i | ||||
\(512\) | −12.4549 | + | 38.3323i | −0.550435 | + | 1.69406i | ||||
\(513\) | −4.73607 | + | 3.44095i | −0.209103 | + | 0.151922i | ||||
\(514\) | 62.9959 | + | 45.7692i | 2.77863 | + | 2.01879i | ||||
\(515\) | 0 | 0 | ||||||||
\(516\) | 32.5623 | 1.43348 | ||||||||
\(517\) | 28.3435 | + | 17.7926i | 1.24654 | + | 0.782516i | ||||
\(518\) | 16.3262 | 0.717334 | ||||||||
\(519\) | 5.57295 | + | 17.1518i | 0.244625 | + | 0.752879i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −7.23607 | + | 5.25731i | −0.317018 | + | 0.230327i | −0.734902 | − | 0.678173i | \(-0.762772\pi\) |
0.417884 | + | 0.908500i | \(0.362772\pi\) | |||||||
\(522\) | −4.85410 | + | 14.9394i | −0.212458 | + | 0.653879i | ||||
\(523\) | −5.64590 | + | 17.3763i | −0.246878 | + | 0.759812i | 0.748444 | + | 0.663198i | \(0.230801\pi\) |
−0.995322 | + | 0.0966140i | \(0.969199\pi\) | |||||||
\(524\) | 46.3328 | − | 33.6628i | 2.02406 | − | 1.47056i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 12.3541 | + | 38.0220i | 0.538664 | + | 1.65784i | ||||
\(527\) | −6.97871 | −0.303998 | ||||||||
\(528\) | 25.0795 | − | 20.9560i | 1.09145 | − | 0.911993i | ||||
\(529\) | −22.9443 | −0.997577 | ||||||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −5.97214 | − | 4.33901i | −0.259169 | − | 0.188297i | ||||
\(532\) | −22.9894 | + | 16.7027i | −0.996715 | + | 0.724156i | ||||
\(533\) | −0.0172209 | + | 0.0530006i | −0.000745921 | + | 0.00229571i | ||||
\(534\) | −6.66312 | + | 20.5070i | −0.288341 | + | 0.887423i | ||||
\(535\) | 0 | 0 | ||||||||
\(536\) | 11.2082 | + | 8.14324i | 0.484121 | + | 0.351734i | ||||
\(537\) | −2.63525 | − | 8.11048i | −0.113720 | − | 0.349993i | ||||
\(538\) | −66.5410 | −2.86879 | ||||||||
\(539\) | 4.85410 | − | 19.2986i | 0.209081 | − | 0.831251i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −2.31559 | − | 7.12667i | −0.0995552 | − | 0.306399i | 0.888859 | − | 0.458181i | \(-0.151499\pi\) |
−0.988414 | + | 0.151782i | \(0.951499\pi\) | |||||||
\(542\) | −39.4336 | − | 28.6502i | −1.69382 | − | 1.23063i | ||||
\(543\) | −2.04508 | + | 1.48584i | −0.0877630 | + | 0.0637635i | ||||
\(544\) | 3.84346 | − | 11.8290i | 0.164787 | − | 0.507162i | ||||
\(545\) | 0 | 0 | ||||||||
\(546\) | 0.500000 | − | 0.363271i | 0.0213980 | − | 0.0155466i | ||||
\(547\) | −24.8713 | − | 18.0701i | −1.06342 | − | 0.772621i | −0.0887027 | − | 0.996058i | \(-0.528272\pi\) |
−0.974718 | + | 0.223438i | \(0.928272\pi\) | |||||||
\(548\) | −14.6459 | − | 45.0754i | −0.625642 | − | 1.92553i | ||||
\(549\) | −11.5623 | −0.493467 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −35.1246 | −1.49636 | ||||||||
\(552\) | −0.545085 | − | 1.67760i | −0.0232004 | − | 0.0714034i | ||||
\(553\) | −8.89919 | − | 6.46564i | −0.378432 | − | 0.274947i | ||||
\(554\) | −61.8779 | + | 44.9569i | −2.62894 | + | 1.91004i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 21.8435 | − | 67.2273i | 0.926369 | − | 2.85107i | ||||
\(557\) | 30.4443 | − | 22.1191i | 1.28997 | − | 0.937215i | 0.290161 | − | 0.956978i | \(-0.406291\pi\) |
0.999805 | + | 0.0197634i | \(0.00629130\pi\) | |||||||
\(558\) | 12.8992 | + | 9.37181i | 0.546066 | + | 0.396740i | ||||
\(559\) | −0.489357 | − | 1.50609i | −0.0206976 | − | 0.0637006i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 2.91641 | − | 2.43690i | 0.123131 | − | 0.102886i | ||||
\(562\) | 64.8328 | 2.73481 | ||||||||
\(563\) | −12.5451 | − | 38.6098i | −0.528712 | − | 1.62721i | −0.756856 | − | 0.653582i | \(-0.773266\pi\) |
0.228144 | − | 0.973627i | \(-0.426734\pi\) | |||||||
\(564\) | −39.6246 | − | 28.7890i | −1.66850 | − | 1.21223i | ||||
\(565\) | 0 | 0 | ||||||||
\(566\) | 4.61803 | − | 14.2128i | 0.194110 | − | 0.597411i | ||||
\(567\) | 0.309017 | − | 0.951057i | 0.0129775 | − | 0.0399406i | ||||
\(568\) | −62.4230 | + | 45.3530i | −2.61921 | + | 1.90297i | ||||
\(569\) | −27.6525 | − | 20.0907i | −1.15925 | − | 0.842246i | −0.169569 | − | 0.985518i | \(-0.554237\pi\) |
−0.989683 | + | 0.143272i | \(0.954237\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −9.09017 | −0.380412 | −0.190206 | − | 0.981744i | \(-0.560916\pi\) | ||||
−0.190206 | + | 0.981744i | \(0.560916\pi\) | |||||||
\(572\) | −3.21885 | − | 2.02063i | −0.134587 | − | 0.0844866i | ||||
\(573\) | −0.819660 | −0.0342418 | ||||||||
\(574\) | 0.190983 | + | 0.587785i | 0.00797148 | + | 0.0245337i | ||||
\(575\) | 0 | 0 | ||||||||
\(576\) | −7.04508 | + | 5.11855i | −0.293545 | + | 0.213273i | ||||
\(577\) | −9.79837 | + | 30.1563i | −0.407912 | + | 1.25542i | 0.510528 | + | 0.859861i | \(0.329450\pi\) |
−0.918439 | + | 0.395562i | \(0.870550\pi\) | |||||||
\(578\) | −12.6910 | + | 39.0588i | −0.527875 | + | 1.62463i | ||||
\(579\) | −2.54508 | + | 1.84911i | −0.105770 | + | 0.0768465i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −0.454915 | − | 1.40008i | −0.0188731 | − | 0.0580853i | ||||
\(582\) | −20.5623 | −0.852335 | ||||||||
\(583\) | −0.472136 | − | 1.17557i | −0.0195539 | − | 0.0486872i | ||||
\(584\) | 42.6525 | 1.76497 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −45.8607 | − | 33.3197i | −1.89449 | − | 1.37643i | ||||
\(587\) | −1.71885 | + | 1.24882i | −0.0709444 | + | 0.0515441i | −0.622692 | − | 0.782467i | \(-0.713961\pi\) |
0.551748 | + | 0.834011i | \(0.313961\pi\) | |||||||
\(588\) | −9.00000 | + | 27.6992i | −0.371154 | + | 1.14229i | ||||
\(589\) | −11.0172 | + | 33.9075i | −0.453957 | + | 1.39714i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 10.5451 | + | 7.66145i | 0.433767 | + | 0.315150i | ||||
\(592\) | 18.9894 | + | 58.4432i | 0.780458 | + | 2.40200i | ||||
\(593\) | 14.0344 | 0.576325 | 0.288163 | − | 0.957581i | \(-0.406956\pi\) | ||||
0.288163 | + | 0.957581i | \(0.406956\pi\) | |||||||
\(594\) | −8.66312 | + | 0.587785i | −0.355452 | + | 0.0241171i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | −6.35410 | − | 19.5559i | −0.260274 | − | 0.801041i | ||||
\(597\) | −5.42705 | − | 3.94298i | −0.222114 | − | 0.161376i | ||||
\(598\) | −0.118034 | + | 0.0857567i | −0.00482677 | + | 0.00350685i | ||||
\(599\) | 3.90983 | − | 12.0332i | 0.159751 | − | 0.491664i | −0.838860 | − | 0.544347i | \(-0.816777\pi\) |
0.998611 | + | 0.0526833i | \(0.0167774\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 5.57295 | − | 4.04898i | 0.227325 | − | 0.165162i | −0.468293 | − | 0.883573i | \(-0.655131\pi\) |
0.695618 | + | 0.718412i | \(0.255131\pi\) | |||||||
\(602\) | −14.2082 | − | 10.3229i | −0.579083 | − | 0.420729i | ||||
\(603\) | −0.572949 | − | 1.76336i | −0.0233323 | − | 0.0718094i | ||||
\(604\) | 5.12461 | 0.208517 | ||||||||
\(605\) | 0 | 0 | ||||||||
\(606\) | −26.7984 | −1.08861 | ||||||||
\(607\) | 5.11803 | + | 15.7517i | 0.207735 | + | 0.639341i | 0.999590 | + | 0.0286327i | \(0.00911532\pi\) |
−0.791855 | + | 0.610709i | \(0.790885\pi\) | |||||||
\(608\) | −51.4058 | − | 37.3485i | −2.08478 | − | 1.51468i | ||||
\(609\) | 4.85410 | − | 3.52671i | 0.196698 | − | 0.142910i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −0.736068 | + | 2.26538i | −0.0297781 | + | 0.0916476i | ||||
\(612\) | −4.50000 | + | 3.26944i | −0.181902 | + | 0.132159i | ||||
\(613\) | −11.5623 | − | 8.40051i | −0.466997 | − | 0.339293i | 0.329273 | − | 0.944235i | \(-0.393196\pi\) |
−0.796270 | + | 0.604942i | \(0.793196\pi\) | |||||||
\(614\) | −22.6353 | − | 69.6642i | −0.913485 | − | 2.81142i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −24.7254 | + | 1.67760i | −0.996216 | + | 0.0675924i | ||||
\(617\) | −11.1803 | −0.450104 | −0.225052 | − | 0.974347i | \(-0.572255\pi\) | ||||
−0.225052 | + | 0.974347i | \(0.572255\pi\) | |||||||
\(618\) | 8.85410 | + | 27.2501i | 0.356164 | + | 1.09616i | ||||
\(619\) | −19.5172 | − | 14.1801i | −0.784463 | − | 0.569946i | 0.121852 | − | 0.992548i | \(-0.461117\pi\) |
−0.906315 | + | 0.422602i | \(0.861117\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −0.0729490 | + | 0.224514i | −0.00292734 | + | 0.00900944i | ||||
\(622\) | 9.42705 | − | 29.0135i | 0.377990 | − | 1.16333i | ||||
\(623\) | 6.66312 | − | 4.84104i | 0.266952 | − | 0.193952i | ||||
\(624\) | 1.88197 | + | 1.36733i | 0.0753389 | + | 0.0547369i | ||||
\(625\) | 0 | 0 | ||||||||
\(626\) | 6.61803 | 0.264510 | ||||||||
\(627\) | −7.23607 | − | 18.0171i | −0.288981 | − | 0.719533i | ||||
\(628\) | −76.2492 | −3.04268 | ||||||||
\(629\) | 2.20820 | + | 6.79615i | 0.0880469 | + | 0.270980i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −15.5451 | + | 11.2942i | −0.618840 | + | 0.449614i | −0.852516 | − | 0.522701i | \(-0.824924\pi\) |
0.233676 | + | 0.972314i | \(0.424924\pi\) | |||||||
\(632\) | 25.3992 | − | 78.1707i | 1.01033 | − | 3.10946i | ||||
\(633\) | 1.11803 | − | 3.44095i | 0.0444379 | − | 0.136766i | ||||
\(634\) | −14.4443 | + | 10.4944i | −0.573655 | + | 0.416785i | ||||
\(635\) | 0 | 0 | ||||||||
\(636\) | 0.572949 | + | 1.76336i | 0.0227189 | + | 0.0699216i | ||||
\(637\) | 1.41641 | 0.0561201 | ||||||||
\(638\) | −44.1246 | − | 27.6992i | −1.74691 | − | 1.09662i | ||||
\(639\) | 10.3262 | 0.408500 | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 20.2984 | + | 14.7476i | 0.801738 | + | 0.582496i | 0.911423 | − | 0.411470i | \(-0.134984\pi\) |
−0.109686 | + | 0.993966i | \(0.534984\pi\) | |||||||
\(642\) | −24.2984 | + | 17.6538i | −0.958980 | + | 0.696740i | ||||
\(643\) | −6.44427 | + | 19.8334i | −0.254137 | + | 0.782154i | 0.739861 | + | 0.672760i | \(0.234891\pi\) |
−0.993998 | + | 0.109394i | \(0.965109\pi\) | |||||||
\(644\) | −0.354102 | + | 1.08981i | −0.0139536 | + | 0.0429447i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −14.2082 | − | 10.3229i | −0.559014 | − | 0.406148i | ||||
\(647\) | −13.9164 | − | 42.8303i | −0.547110 | − | 1.68383i | −0.715918 | − | 0.698184i | \(-0.753992\pi\) |
0.168808 | − | 0.985649i | \(-0.446008\pi\) | |||||||
\(648\) | 7.47214 | 0.293533 | ||||||||
\(649\) | 18.7877 | − | 15.6987i | 0.737483 | − | 0.616227i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −1.88197 | − | 5.79210i | −0.0737601 | − | 0.227010i | ||||
\(652\) | −20.2082 | − | 14.6821i | −0.791414 | − | 0.574996i | ||||
\(653\) | −4.54508 | + | 3.30220i | −0.177863 | + | 0.129225i | −0.673155 | − | 0.739502i | \(-0.735061\pi\) |
0.495292 | + | 0.868727i | \(0.335061\pi\) | |||||||
\(654\) | −9.70820 | + | 29.8788i | −0.379621 | + | 1.16835i | ||||
\(655\) | 0 | 0 | ||||||||
\(656\) | −1.88197 | + | 1.36733i | −0.0734784 | + | 0.0533852i | ||||
\(657\) | −4.61803 | − | 3.35520i | −0.180167 | − | 0.130899i | ||||
\(658\) | 8.16312 | + | 25.1235i | 0.318232 | + | 0.979416i | ||||
\(659\) | −41.1246 | −1.60199 | −0.800994 | − | 0.598673i | \(-0.795695\pi\) | ||||
−0.800994 | + | 0.598673i | \(0.795695\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 36.5623 | 1.42211 | 0.711054 | − | 0.703137i | \(-0.248218\pi\) | ||||
0.711054 | + | 0.703137i | \(0.248218\pi\) | |||||||
\(662\) | 13.5172 | + | 41.6017i | 0.525362 | + | 1.61690i | ||||
\(663\) | 0.218847 | + | 0.159002i | 0.00849932 | + | 0.00617511i | ||||
\(664\) | 8.89919 | − | 6.46564i | 0.345355 | − | 0.250915i | ||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 5.04508 | − | 15.5272i | 0.195493 | − | 0.601666i | ||||
\(667\) | −1.14590 | + | 0.832544i | −0.0443693 | + | 0.0322362i | ||||
\(668\) | 47.2599 | + | 34.3363i | 1.82854 | + | 1.32851i | ||||
\(669\) | −2.21885 | − | 6.82891i | −0.0857856 | − | 0.264021i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 9.35410 | − | 37.1895i | 0.361111 | − | 1.43568i | ||||
\(672\) | 10.8541 | 0.418706 | ||||||||
\(673\) | −11.0729 | − | 34.0790i | −0.426831 | − | 1.31365i | −0.901230 | − | 0.433340i | \(-0.857335\pi\) |
0.474399 | − | 0.880310i | \(-0.342665\pi\) | |||||||
\(674\) | −38.5066 | − | 27.9767i | −1.48322 | − | 1.07762i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −19.4164 | + | 59.7576i | −0.746785 | + | 2.29837i | ||||
\(677\) | −4.18034 | + | 12.8658i | −0.160664 | + | 0.494471i | −0.998691 | − | 0.0511572i | \(-0.983709\pi\) |
0.838027 | + | 0.545629i | \(0.183709\pi\) | |||||||
\(678\) | 28.5344 | − | 20.7315i | 1.09586 | − | 0.796188i | ||||
\(679\) | 6.35410 | + | 4.61653i | 0.243848 | + | 0.177166i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −13.1803 | −0.505072 | ||||||||
\(682\) | −40.5795 | + | 33.9075i | −1.55387 | + | 1.29839i | ||||
\(683\) | −9.06888 | −0.347011 | −0.173506 | − | 0.984833i | \(-0.555509\pi\) | ||||
−0.173506 | + | 0.984833i | \(0.555509\pi\) | |||||||
\(684\) | 8.78115 | + | 27.0256i | 0.335756 | + | 1.03335i | ||||
\(685\) | 0 | 0 | ||||||||
\(686\) | 27.5344 | − | 20.0049i | 1.05127 | − | 0.763792i | ||||
\(687\) | 0.145898 | − | 0.449028i | 0.00556636 | − | 0.0171315i | ||||
\(688\) | 20.4271 | − | 62.8680i | 0.778774 | − | 2.39682i | ||||
\(689\) | 0.0729490 | − | 0.0530006i | 0.00277914 | − | 0.00201916i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 0.416408 | + | 1.28157i | 0.0158409 | + | 0.0487533i | 0.958665 | − | 0.284539i | \(-0.0918405\pi\) |
−0.942824 | + | 0.333292i | \(0.891840\pi\) | |||||||
\(692\) | 87.5410 | 3.32781 | ||||||||
\(693\) | 2.80902 | + | 1.76336i | 0.106706 | + | 0.0669843i | ||||
\(694\) | 4.00000 | 0.151838 | ||||||||
\(695\) | 0 | 0 | ||||||||
\(696\) | 36.2705 | + | 26.3521i | 1.37483 | + | 0.998873i | ||||
\(697\) | −0.218847 | + | 0.159002i | −0.00828942 | + | 0.00602262i | ||||
\(698\) | 10.2812 | − | 31.6421i | 0.389147 | − | 1.19767i | ||||
\(699\) | 1.28115 | − | 3.94298i | 0.0484577 | − | 0.149137i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 28.1525 | + | 20.4540i | 1.06330 | + | 0.772536i | 0.974697 | − | 0.223531i | \(-0.0717583\pi\) |
0.0886075 | + | 0.996067i | \(0.471758\pi\) | |||||||
\(702\) | −0.190983 | − | 0.587785i | −0.00720819 | − | 0.0221845i | ||||
\(703\) | 36.5066 | 1.37687 | ||||||||
\(704\) | −10.7639 | − | 26.8011i | −0.405681 | − | 1.01010i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 9.70820 | + | 29.8788i | 0.365373 | + | 1.12450i | ||||
\(707\) | 8.28115 | + | 6.01661i | 0.311445 | + | 0.226278i | ||||
\(708\) | −28.9894 | + | 21.0620i | −1.08949 | + | 0.791558i | ||||
\(709\) | 3.46556 | − | 10.6659i | 0.130152 | − | 0.400566i | −0.864653 | − | 0.502370i | \(-0.832462\pi\) |
0.994804 | + | 0.101804i | \(0.0324615\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −8.89919 | + | 6.46564i | −0.333746 | + | 0.242480i | ||||
\(712\) | 49.7877 | + | 36.1729i | 1.86587 | + | 1.35564i | ||||
\(713\) | 0.444272 | + | 1.36733i | 0.0166381 | + | 0.0512068i | ||||
\(714\) | 3.00000 | 0.112272 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | −41.3951 | −1.54701 | ||||||||
\(717\) | 0.118034 | + | 0.363271i | 0.00440806 | + | 0.0135666i | ||||
\(718\) | 20.5623 | + | 14.9394i | 0.767378 | + | 0.557533i | ||||
\(719\) | 31.1353 | − | 22.6211i | 1.16115 | − | 0.843624i | 0.171226 | − | 0.985232i | \(-0.445227\pi\) |
0.989923 | + | 0.141608i | \(0.0452271\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 3.38197 | − | 10.4086i | 0.125951 | − | 0.387637i | ||||
\(722\) | −32.3435 | + | 23.4989i | −1.20370 | + | 0.874538i | ||||
\(723\) | −6.70820 | − | 4.87380i | −0.249481 | − | 0.181258i | ||||
\(724\) | 3.79180 | + | 11.6699i | 0.140921 | + | 0.433710i | ||||
\(725\) | 0 | 0 | ||||||||
\(726\) | 5.11803 | − | 28.3399i | 0.189948 | − | 1.05179i | ||||
\(727\) | 9.14590 | 0.339203 | 0.169601 | − | 0.985513i | \(-0.445752\pi\) | ||||
0.169601 | + | 0.985513i | \(0.445752\pi\) | |||||||
\(728\) | −0.545085 | − | 1.67760i | −0.0202022 | − | 0.0621760i | ||||
\(729\) | −0.809017 | − | 0.587785i | −0.0299636 | − | 0.0217698i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 2.37539 | − | 7.31069i | 0.0878569 | − | 0.270396i | ||||
\(732\) | −17.3435 | + | 53.3777i | −0.641033 | + | 1.97290i | ||||
\(733\) | −0.326238 | + | 0.237026i | −0.0120499 | + | 0.00875474i | −0.593794 | − | 0.804617i | \(-0.702371\pi\) |
0.581744 | + | 0.813372i | \(0.302371\pi\) | |||||||
\(734\) | 46.9058 | + | 34.0790i | 1.73132 | + | 1.25788i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −2.56231 | −0.0944478 | ||||||||
\(737\) | 6.13525 | − | 0.416272i | 0.225995 | − | 0.0153336i | ||||
\(738\) | 0.618034 | 0.0227501 | ||||||||
\(739\) | 0.927051 | + | 2.85317i | 0.0341021 | + | 0.104956i | 0.966659 | − | 0.256068i | \(-0.0824272\pi\) |
−0.932557 | + | 0.361024i | \(0.882427\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 1.11803 | − | 0.812299i | 0.0410720 | − | 0.0298406i | ||||
\(742\) | 0.309017 | − | 0.951057i | 0.0113444 | − | 0.0349144i | ||||
\(743\) | 13.2533 | − | 40.7894i | 0.486216 | − | 1.49642i | −0.343996 | − | 0.938971i | \(-0.611781\pi\) |
0.830212 | − | 0.557448i | \(-0.188219\pi\) | |||||||
\(744\) | 36.8156 | − | 26.7481i | 1.34973 | − | 0.980633i | ||||
\(745\) | 0 | 0 | ||||||||
\(746\) | −0.718847 | − | 2.21238i | −0.0263189 | − | 0.0810011i | ||||
\(747\) | −1.47214 | −0.0538626 | ||||||||
\(748\) | −6.87539 | − | 17.1190i | −0.251389 | − | 0.625933i | ||||
\(749\) | 11.4721 | 0.419183 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −13.0623 | − | 9.49032i | −0.476650 | − | 0.346307i | 0.323377 | − | 0.946270i | \(-0.395182\pi\) |
−0.800027 | + | 0.599963i | \(0.795182\pi\) | |||||||
\(752\) | −80.4402 | + | 58.4432i | −2.93335 | + | 2.13121i | ||||
\(753\) | −6.79180 | + | 20.9030i | −0.247507 | + | 0.761748i | ||||
\(754\) | 1.14590 | − | 3.52671i | 0.0417311 | − | 0.128435i | ||||
\(755\) | 0 | 0 | ||||||||
\(756\) | −3.92705 | − | 2.85317i | −0.142825 | − | 0.103769i | ||||
\(757\) | −1.54508 | − | 4.75528i | −0.0561571 | − | 0.172834i | 0.919044 | − | 0.394156i | \(-0.128963\pi\) |
−0.975201 | + | 0.221322i | \(0.928963\pi\) | |||||||
\(758\) | −65.1591 | −2.36668 | ||||||||
\(759\) | −0.663119 | − | 0.416272i | −0.0240697 | − | 0.0151097i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 9.05166 | + | 27.8582i | 0.328123 | + | 1.00986i | 0.970011 | + | 0.243060i | \(0.0781511\pi\) |
−0.641889 | + | 0.766798i | \(0.721849\pi\) | |||||||
\(762\) | 16.3262 | + | 11.8617i | 0.591437 | + | 0.429704i | ||||
\(763\) | 9.70820 | − | 7.05342i | 0.351461 | − | 0.255351i | ||||
\(764\) | −1.22949 | + | 3.78398i | −0.0444814 | + | 0.136900i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −26.9164 | + | 19.5559i | −0.972529 | + | 0.706584i | ||||
\(767\) | 1.40983 | + | 1.02430i | 0.0509060 | + | 0.0369854i | ||||
\(768\) | −4.50000 | − | 13.8496i | −0.162380 | − | 0.499754i | ||||
\(769\) | −34.5066 | −1.24434 | −0.622170 | − | 0.782883i | \(-0.713749\pi\) | ||||
−0.622170 | + | 0.782883i | \(0.713749\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −29.7426 | −1.07116 | ||||||||
\(772\) | 4.71885 | + | 14.5231i | 0.169835 | + | 0.522698i | ||||
\(773\) | 21.9894 | + | 15.9762i | 0.790902 | + | 0.574624i | 0.908231 | − | 0.418469i | \(-0.137433\pi\) |
−0.117329 | + | 0.993093i | \(0.537433\pi\) | |||||||
\(774\) | −14.2082 | + | 10.3229i | −0.510703 | + | 0.371048i | ||||
\(775\) | 0 | 0 | ||||||||
\(776\) | −18.1353 | + | 55.8146i | −0.651018 | + | 2.00363i | ||||
\(777\) | −5.04508 | + | 3.66547i | −0.180991 | + | 0.131498i | ||||
\(778\) | 77.8222 | + | 56.5411i | 2.79006 | + | 2.02710i | ||||
\(779\) | 0.427051 | + | 1.31433i | 0.0153007 | + | 0.0470907i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −8.35410 | + | 33.2137i | −0.298933 | + | 1.18848i | ||||
\(782\) | −0.708204 | −0.0253253 | ||||||||
\(783\) | −1.85410 | − | 5.70634i | −0.0662602 | − | 0.203928i | ||||
\(784\) | 47.8328 | + | 34.7526i | 1.70831 | + | 1.24116i | ||||
\(785\) | 0 | 0 | ||||||||
\(786\) | −9.54508 | + | 29.3768i | −0.340462 | + | 1.04783i | ||||
\(787\) | 3.00000 | − | 9.23305i | 0.106938 | − | 0.329123i | −0.883242 | − | 0.468917i | \(-0.844644\pi\) |
0.990181 | + | 0.139795i | \(0.0446442\pi\) | |||||||
\(788\) | 51.1869 | − | 37.1895i | 1.82346 | − | 1.32482i | ||||
\(789\) | −12.3541 | − | 8.97578i | −0.439818 | − | 0.319546i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −13.4721 | −0.479014 | ||||||||
\(792\) | −6.04508 | + | 24.0337i | −0.214803 | + | 0.854000i | ||||
\(793\) | 2.72949 | 0.0969270 | ||||||||
\(794\) | 15.1353 | + | 46.5815i | 0.537130 | + | 1.65312i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −26.3435 | + | 19.1396i | −0.933719 | + | 0.678387i | ||||
\(797\) | −5.72949 | + | 17.6336i | −0.202949 | + | 0.624613i | 0.796842 | + | 0.604187i | \(0.206502\pi\) |
−0.999791 | + | 0.0204255i | \(0.993498\pi\) | |||||||
\(798\) | 4.73607 | − | 14.5761i | 0.167655 | − | 0.515989i | ||||
\(799\) | −9.35410 | + | 6.79615i | −0.330924 | + | 0.240431i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −2.54508 | − | 7.83297i | −0.0899262 | − | 0.276764i | ||||
\(802\) | −82.9574 | −2.92933 | ||||||||
\(803\) | 14.5279 | − | 12.1392i | 0.512677 | − | 0.428384i | ||||
\(804\) | −9.00000 | −0.317406 | ||||||||
\(805\) | 0 | 0 | ||||||||
\(806\) | −3.04508 | − | 2.21238i | −0.107259 | − | 0.0779279i | ||||
\(807\) | 20.5623 | − | 14.9394i | 0.723827 | − | 0.525891i | ||||
\(808\) | −23.6353 | + | 72.7418i | −0.831485 | + | 2.55905i | ||||
\(809\) | 8.37132 | − | 25.7643i | 0.294320 | − | 0.905824i | −0.689129 | − | 0.724639i | \(-0.742007\pi\) |
0.983449 | − | 0.181185i | \(-0.0579933\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −29.5795 | − | 21.4908i | −1.03868 | − | 0.754644i | −0.0686507 | − | 0.997641i | \(-0.521869\pi\) |
−0.970027 | + | 0.242997i | \(0.921869\pi\) | |||||||
\(812\) | −9.00000 | − | 27.6992i | −0.315838 | − | 0.972050i | ||||
\(813\) | 18.6180 | 0.652963 | ||||||||
\(814\) | 45.8607 | + | 28.7890i | 1.60742 | + | 1.00905i | ||||
\(815\) | 0 | 0 | ||||||||
\(816\) | 3.48936 | + | 10.7391i | 0.122152 | + | 0.375945i | ||||
\(817\) | −31.7705 | − | 23.0826i | −1.11151 | − | 0.807559i | ||||
\(818\) | 13.7082 | − | 9.95959i | 0.479296 | − | 0.348229i | ||||
\(819\) | −0.0729490 | + | 0.224514i | −0.00254904 | + | 0.00784515i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −32.8435 | + | 23.8622i | −1.14624 | + | 0.832795i | −0.987977 | − | 0.154601i | \(-0.950591\pi\) |
−0.158268 | + | 0.987396i | \(0.550591\pi\) | |||||||
\(822\) | 20.6803 | + | 15.0251i | 0.721310 | + | 0.524062i | ||||
\(823\) | 8.60081 | + | 26.4706i | 0.299805 | + | 0.922706i | 0.981565 | + | 0.191130i | \(0.0612152\pi\) |
−0.681759 | + | 0.731577i | \(0.738785\pi\) | |||||||
\(824\) | 81.7771 | 2.84884 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 19.3262 | 0.672446 | ||||||||
\(827\) | 3.29180 | + | 10.1311i | 0.114467 | + | 0.352293i | 0.991835 | − | 0.127524i | \(-0.0407030\pi\) |
−0.877369 | + | 0.479817i | \(0.840703\pi\) | |||||||
\(828\) | 0.927051 | + | 0.673542i | 0.0322172 | + | 0.0234072i | ||||
\(829\) | 25.3992 | − | 18.4536i | 0.882150 | − | 0.640920i | −0.0516692 | − | 0.998664i | \(-0.516454\pi\) |
0.933819 | + | 0.357745i | \(0.116454\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 9.02786 | − | 27.7849i | 0.313173 | − | 0.963848i | ||||
\(832\) | 1.66312 | − | 1.20833i | 0.0576583 | − | 0.0418912i | ||||
\(833\) | 5.56231 | + | 4.04125i | 0.192722 | + | 0.140021i | ||||
\(834\) | 11.7812 | + | 36.2587i | 0.407948 | + | 1.25553i | ||||
\(835\) | 0 | 0 | ||||||||
\(836\) | −94.0304 | + | 6.37988i | −3.25211 | + | 0.220653i | ||||
\(837\) | −6.09017 | −0.210507 | ||||||||
\(838\) | 25.4443 | + | 78.3094i | 0.878958 | + | 2.70515i | ||||
\(839\) | 14.4271 | + | 10.4819i | 0.498077 | + | 0.361874i | 0.808282 | − | 0.588796i | \(-0.200398\pi\) |
−0.310205 | + | 0.950670i | \(0.600398\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 2.16312 | − | 6.65740i | 0.0745903 | − | 0.229565i | ||||
\(842\) | 8.50000 | − | 26.1603i | 0.292929 | − | 0.901544i | ||||
\(843\) | −20.0344 | + | 14.5559i | −0.690023 | + | 0.501331i | ||||
\(844\) | −14.2082 | − | 10.3229i | −0.489067 | − | 0.355328i | ||||
\(845\) | 0 | 0 | ||||||||
\(846\) | 26.4164 | 0.908215 | ||||||||
\(847\) | −7.94427 | + | 7.60845i | −0.272968 | + | 0.261430i | ||||
\(848\) | 3.76393 | 0.129254 | ||||||||
\(849\) | 1.76393 | + | 5.42882i | 0.0605380 | + | 0.186317i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 1.19098 | − | 0.865300i | 0.0408264 | − | 0.0296621i | ||||
\(852\) | 15.4894 | − | 47.6713i | 0.530657 | − | 1.63319i | ||||
\(853\) | 17.2533 | − | 53.1002i | 0.590741 | − | 1.81811i | 0.0158658 | − | 0.999874i | \(-0.494950\pi\) |
0.574876 | − | 0.818241i | \(-0.305050\pi\) | |||||||
\(854\) | 24.4894 | − | 17.7926i | 0.838009 | − | 0.608849i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 26.4894 | + | 81.5259i | 0.905388 | + | 2.78650i | ||||
\(857\) | −27.7639 | −0.948398 | −0.474199 | − | 0.880418i | \(-0.657262\pi\) | ||||
−0.474199 | + | 0.880418i | \(0.657262\pi\) | |||||||
\(858\) | 2.04508 | − | 0.138757i | 0.0698180 | − | 0.00473710i | ||||
\(859\) | −34.4164 | −1.17427 | −0.587136 | − | 0.809488i | \(-0.699745\pi\) | ||||
−0.587136 | + | 0.809488i | \(0.699745\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −0.190983 | − | 0.138757i | −0.00650868 | − | 0.00472884i | ||||
\(862\) | 12.5172 | − | 9.09429i | 0.426338 | − | 0.309753i | ||||
\(863\) | −0.0344419 | + | 0.106001i | −0.00117241 | + | 0.00360832i | −0.951641 | − | 0.307212i | \(-0.900604\pi\) |
0.950469 | + | 0.310821i | \(0.100604\pi\) | |||||||
\(864\) | 3.35410 | − | 10.3229i | 0.114109 | − | 0.351191i | ||||
\(865\) | 0 | 0 | ||||||||
\(866\) | 74.7771 | + | 54.3287i | 2.54103 | + | 1.84617i | ||||
\(867\) | −4.84752 | − | 14.9191i | −0.164631 | − | 0.506681i | ||||
\(868\) | −29.5623 | −1.00341 | ||||||||
\(869\) | −13.5967 | − | 33.8545i | −0.461238 | − | 1.14844i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 0.135255 | + | 0.416272i | 0.00458294 | + | 0.0141048i | ||||
\(872\) | 72.5410 | + | 52.7041i | 2.45655 | + | 1.78479i | ||||
\(873\) | 6.35410 | − | 4.61653i | 0.215054 | − | 0.156246i | ||||
\(874\) | −1.11803 | + | 3.44095i | −0.0378181 | + | 0.116392i | ||||
\(875\) | 0 | 0 | ||||||||
\(876\) | −22.4164 | + | 16.2865i | −0.757380 | + | 0.550269i | ||||
\(877\) | −46.8779 | − | 34.0588i | −1.58295 | − | 1.15008i | −0.913208 | − | 0.407493i | \(-0.866403\pi\) |
−0.669746 | − | 0.742590i | \(-0.733597\pi\) | |||||||
\(878\) | 18.8435 | + | 57.9942i | 0.635936 | + | 1.95721i | ||||
\(879\) | 21.6525 | 0.730320 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 6.20163 | 0.208938 | 0.104469 | − | 0.994528i | \(-0.466686\pi\) | ||||
0.104469 | + | 0.994528i | \(0.466686\pi\) | |||||||
\(882\) | −4.85410 | − | 14.9394i | −0.163446 | − | 0.503035i | ||||
\(883\) | 0.854102 | + | 0.620541i | 0.0287428 | + | 0.0208829i | 0.602064 | − | 0.798448i | \(-0.294345\pi\) |
−0.573321 | + | 0.819331i | \(0.694345\pi\) | |||||||
\(884\) | 1.06231 | − | 0.771810i | 0.0357292 | − | 0.0259588i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 25.5623 | − | 78.6727i | 0.858782 | − | 2.64306i | ||||
\(887\) | −44.0795 | + | 32.0257i | −1.48005 | + | 1.07532i | −0.502504 | + | 0.864575i | \(0.667588\pi\) |
−0.977542 | + | 0.210741i | \(0.932412\pi\) | |||||||
\(888\) | −37.6976 | − | 27.3889i | −1.26505 | − | 0.919111i | ||||
\(889\) | −2.38197 | − | 7.33094i | −0.0798886 | − | 0.245872i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 2.54508 | − | 2.12663i | 0.0852636 | − | 0.0712447i | ||||
\(892\) | −34.8541 | −1.16700 | ||||||||
\(893\) | 18.2533 | + | 56.1778i | 0.610823 | + | 1.87992i | ||||
\(894\) | 8.97214 | + | 6.51864i | 0.300073 | + | 0.218016i | ||||
\(895\) | 0 | 0 | ||||||||
\(896\) | 0.336881 | − | 1.03681i | 0.0112544 | − | 0.0346375i | ||||
\(897\) | 0.0172209 | − | 0.0530006i | 0.000574990 | − | 0.00176964i | ||||
\(898\) | 19.1803 | − | 13.9353i | 0.640056 | − | 0.465028i | ||||
\(899\) | −29.5623 | − | 21.4783i | −0.985958 | − | 0.716340i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 0.437694 | 0.0145817 | ||||||||
\(902\) | −0.500000 | + | 1.98787i | −0.0166482 | + | 0.0661888i | ||||
\(903\) | 6.70820 | 0.223235 | ||||||||
\(904\) | −31.1074 | − | 95.7387i | −1.03462 | − | 3.18422i | ||||
\(905\) | 0 | 0 | ||||||||
\(906\) | −2.23607 | + | 1.62460i | −0.0742884 | + | 0.0539737i | ||||
\(907\) | 13.1008 | − | 40.3202i | 0.435005 | − | 1.33881i | −0.458076 | − | 0.888913i | \(-0.651461\pi\) |
0.893081 | − | 0.449896i | \(-0.148539\pi\) | |||||||
\(908\) | −19.7705 | + | 60.8474i | −0.656107 | + | 2.01929i | ||||
\(909\) | 8.28115 | − | 6.01661i | 0.274669 | − | 0.199558i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 11.9271 | + | 36.7077i | 0.395161 | + | 1.21618i | 0.928836 | + | 0.370491i | \(0.120810\pi\) |
−0.533675 | + | 0.845689i | \(0.679190\pi\) | |||||||
\(912\) | 57.6869 | 1.91020 | ||||||||
\(913\) | 1.19098 | − | 4.73504i | 0.0394158 | − | 0.156707i | ||||
\(914\) | −62.7771 | −2.07648 | ||||||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −1.85410 | − | 1.34708i | −0.0612613 | − | 0.0445089i | ||||
\(917\) | 9.54508 | − | 6.93491i | 0.315206 | − | 0.229011i | ||||
\(918\) | 0.927051 | − | 2.85317i | 0.0305972 | − | 0.0941686i | ||||
\(919\) | 7.92705 | − | 24.3970i | 0.261489 | − | 0.804781i | −0.730992 | − | 0.682386i | \(-0.760942\pi\) |
0.992481 | − | 0.122395i | \(-0.0390576\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 22.6353 | + | 16.4455i | 0.745857 | + | 0.541897i | ||||
\(922\) | 7.50000 | + | 23.0826i | 0.246999 | + | 0.760186i | ||||
\(923\) | −2.43769 | −0.0802377 | ||||||||
\(924\) | 12.3541 | − | 10.3229i | 0.406420 | − | 0.339597i | ||||
\(925\) | 0 | 0 | ||||||||
\(926\) | −1.39919 | − | 4.30625i | −0.0459801 | − | 0.141512i | ||||
\(927\) | −8.85410 | − | 6.43288i | −0.290807 | − | 0.211284i | ||||
\(928\) | 52.6869 | − | 38.2793i | 1.72953 | − | 1.25658i | ||||
\(929\) | −3.92705 | + | 12.0862i | −0.128842 | + | 0.396536i | −0.994582 | − | 0.103959i | \(-0.966849\pi\) |
0.865739 | + | 0.500495i | \(0.166849\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 28.4164 | − | 20.6457i | 0.931310 | − | 0.676636i | ||||
\(932\) | −16.2812 | − | 11.8290i | −0.533307 | − | 0.387470i | ||||
\(933\) | 3.60081 | + | 11.0822i | 0.117885 | + | 0.362814i | ||||
\(934\) | −54.6869 | −1.78941 | ||||||||
\(935\) | 0 | 0 | ||||||||
\(936\) | −1.76393 | −0.0576559 | ||||||||
\(937\) | −12.8713 | − | 39.6139i | −0.420488 | − | 1.29413i | −0.907249 | − | 0.420593i | \(-0.861822\pi\) |
0.486761 | − | 0.873535i | \(-0.338178\pi\) | |||||||
\(938\) | 3.92705 | + | 2.85317i | 0.128223 | + | 0.0931593i | ||||
\(939\) | −2.04508 | + | 1.48584i | −0.0667388 | + | 0.0484886i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −4.46556 | + | 13.7436i | −0.145573 | + | 0.448028i | −0.997084 | − | 0.0763087i | \(-0.975687\pi\) |
0.851511 | + | 0.524336i | \(0.175687\pi\) | |||||||
\(942\) | 33.2705 | − | 24.1724i | 1.08401 | − | 0.787581i | ||||
\(943\) | 0.0450850 | + | 0.0327561i | 0.00146817 | + | 0.00106669i | ||||
\(944\) | 22.4787 | + | 69.1824i | 0.731620 | + | 2.25169i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −21.7082 | − | 54.0512i | −0.705795 | − | 1.75736i | ||||
\(947\) | 32.3951 | 1.05270 | 0.526350 | − | 0.850268i | \(-0.323560\pi\) | ||||
0.526350 | + | 0.850268i | \(0.323560\pi\) | |||||||
\(948\) | 16.5000 | + | 50.7818i | 0.535895 | + | 1.64932i | ||||
\(949\) | 1.09017 | + | 0.792055i | 0.0353884 | + | 0.0257112i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 2.10739 | − | 6.48588i | 0.0683368 | − | 0.210319i | ||||
\(952\) | 2.64590 | − | 8.14324i | 0.0857540 | − | 0.263924i | ||||
\(953\) | 9.18034 | − | 6.66991i | 0.297380 | − | 0.216059i | −0.429082 | − | 0.903265i | \(-0.641163\pi\) |
0.726463 | + | 0.687206i | \(0.241163\pi\) | |||||||
\(954\) | −0.809017 | − | 0.587785i | −0.0261929 | − | 0.0190303i | ||||
\(955\) | 0 | 0 | ||||||||
\(956\) | 1.85410 | 0.0599659 | ||||||||
\(957\) | 19.8541 | − | 1.34708i | 0.641792 | − | 0.0435450i | ||||
\(958\) | −74.3050 | −2.40068 | ||||||||
\(959\) | −3.01722 | − | 9.28605i | −0.0974311 | − | 0.299862i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −4.92705 | + | 3.57971i | −0.158937 | + | 0.115475i | ||||
\(962\) | −1.19098 | + | 3.66547i | −0.0383988 | + | 0.118179i | ||||
\(963\) | 3.54508 | − | 10.9106i | 0.114239 | − | 0.351591i | ||||
\(964\) | −32.5623 | + | 23.6579i | −1.04876 | + | 0.761970i | ||||
\(965\) | 0 | 0 | ||||||||
\(966\) | −0.190983 | − | 0.587785i | −0.00614478 | − | 0.0189117i | ||||
\(967\) | −43.9230 | −1.41247 | −0.706234 | − | 0.707978i | \(-0.749607\pi\) | ||||
−0.706234 | + | 0.707978i | \(0.749607\pi\) | |||||||
\(968\) | −72.4123 | − | 38.8873i | −2.32742 | − | 1.24989i | ||||
\(969\) | 6.70820 | 0.215499 | ||||||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 33.9787 | + | 24.6870i | 1.09043 | + | 0.792243i | 0.979472 | − | 0.201582i | \(-0.0646083\pi\) |
0.110957 | + | 0.993825i | \(0.464608\pi\) | |||||||
\(972\) | −3.92705 | + | 2.85317i | −0.125960 | + | 0.0915155i | ||||
\(973\) | 4.50000 | − | 13.8496i | 0.144263 | − | 0.443997i | ||||
\(974\) | 10.2812 | − | 31.6421i | 0.329429 | − | 1.01388i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 92.1763 | + | 66.9700i | 2.95049 | + | 2.14366i | ||||
\(977\) | 0.184405 | + | 0.567541i | 0.00589964 | + | 0.0181572i | 0.953963 | − | 0.299924i | \(-0.0969614\pi\) |
−0.948063 | + | 0.318082i | \(0.896961\pi\) | |||||||
\(978\) | 13.4721 | 0.430791 | ||||||||
\(979\) | 27.2533 | − | 1.84911i | 0.871019 | − | 0.0590979i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −3.70820 | − | 11.4127i | −0.118394 | − | 0.364379i | ||||
\(982\) | 37.9336 | + | 27.5604i | 1.21051 | + | 0.879488i | ||||
\(983\) | −6.56231 | + | 4.76779i | −0.209305 | + | 0.152069i | −0.687499 | − | 0.726185i | \(-0.741292\pi\) |
0.478194 | + | 0.878254i | \(0.341292\pi\) | |||||||
\(984\) | 0.545085 | − | 1.67760i | 0.0173767 | − | 0.0534799i | ||||
\(985\) | 0 | 0 | ||||||||
\(986\) | 14.5623 | − | 10.5801i | 0.463758 | − | 0.336940i | ||||
\(987\) | −8.16312 | − | 5.93085i | −0.259835 | − | 0.188781i | ||||
\(988\) | −2.07295 | − | 6.37988i | −0.0659493 | − | 0.202971i | ||||
\(989\) | −1.58359 | −0.0503553 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 3.74265 | 0.118889 | 0.0594445 | − | 0.998232i | \(-0.481067\pi\) | ||||
0.0594445 | + | 0.998232i | \(0.481067\pi\) | |||||||
\(992\) | −20.4271 | − | 62.8680i | −0.648560 | − | 1.99606i | ||||
\(993\) | −13.5172 | − | 9.82084i | −0.428956 | − | 0.311655i | ||||
\(994\) | −21.8713 | + | 15.8904i | −0.693716 | + | 0.504014i | ||||
\(995\) | 0 | 0 | ||||||||
\(996\) | −2.20820 | + | 6.79615i | −0.0699696 | + | 0.215344i | ||||
\(997\) | −17.1525 | + | 12.4620i | −0.543224 | + | 0.394676i | −0.825281 | − | 0.564722i | \(-0.808983\pi\) |
0.282057 | + | 0.959398i | \(0.408983\pi\) | |||||||
\(998\) | 38.4336 | + | 27.9237i | 1.21660 | + | 0.883908i | ||||
\(999\) | 1.92705 | + | 5.93085i | 0.0609692 | + | 0.187644i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))