Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [756,2,Mod(11,756)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(756, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 13, 12]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("756.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 756 = 2^{2} \cdot 3^{3} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 756.bs (of order \(18\), degree \(6\), 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: | \(6.03669039281\) |
Analytic rank: | \(0\) |
Dimension: | \(840\) |
Relative dimension: | \(140\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 11.2 | ||
Character | \(\chi\) | \(=\) | 756.11 |
Dual form | 756.2.bs.a.275.2 |
$q$-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 \(\left(\mathbb{Z}/756\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(325\) | \(379\) |
\(\chi(n)\) | \(e\left(\frac{13}{18}\right)\) | \(e\left(\frac{2}{3}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.41382 | + | 0.0335363i | −0.999719 | + | 0.0237137i | ||||
\(3\) | −1.23240 | − | 1.21704i | −0.711526 | − | 0.702660i | ||||
\(4\) | 1.99775 | − | 0.0948283i | 0.998875 | − | 0.0474141i | ||||
\(5\) | −1.44666 | + | 0.255085i | −0.646967 | + | 0.114078i | −0.487496 | − | 0.873125i | \(-0.662090\pi\) |
−0.159470 | + | 0.987203i | \(0.550979\pi\) | |||||||
\(6\) | 1.78320 | + | 1.67934i | 0.727988 | + | 0.685590i | ||||
\(7\) | 1.11827 | − | 2.39781i | 0.422665 | − | 0.906286i | ||||
\(8\) | −2.82127 | + | 0.201067i | −0.997470 | + | 0.0710879i | ||||
\(9\) | 0.0376115 | + | 2.99976i | 0.0125372 | + | 0.999921i | ||||
\(10\) | 2.03676 | − | 0.409160i | 0.644080 | − | 0.129388i | ||||
\(11\) | −0.00244493 | + | 0.0138659i | −0.000737174 | + | 0.00418072i | −0.985174 | − | 0.171557i | \(-0.945120\pi\) |
0.984437 | + | 0.175738i | \(0.0562312\pi\) | |||||||
\(12\) | −2.57743 | − | 2.31448i | −0.744041 | − | 0.668134i | ||||
\(13\) | 1.58092 | − | 1.32655i | 0.438468 | − | 0.367918i | −0.396668 | − | 0.917962i | \(-0.629833\pi\) |
0.835136 | + | 0.550044i | \(0.185389\pi\) | |||||||
\(14\) | −1.50061 | + | 3.42756i | −0.401055 | + | 0.916054i | ||||
\(15\) | 2.09331 | + | 1.44628i | 0.540491 | + | 0.373429i | ||||
\(16\) | 3.98202 | − | 0.378887i | 0.995504 | − | 0.0947216i | ||||
\(17\) | − | 2.29523i | − | 0.556674i | −0.960483 | − | 0.278337i | \(-0.910217\pi\) | ||
0.960483 | − | 0.278337i | \(-0.0897832\pi\) | |||||||
\(18\) | −0.153777 | − | 4.23985i | −0.0362455 | − | 0.999343i | ||||
\(19\) | − | 4.12101i | − | 0.945424i | −0.881217 | − | 0.472712i | \(-0.843275\pi\) | ||
0.881217 | − | 0.472712i | \(-0.156725\pi\) | |||||||
\(20\) | −2.86588 | + | 0.646782i | −0.640830 | + | 0.144625i | ||||
\(21\) | −4.29639 | + | 1.59407i | −0.937548 | + | 0.347856i | ||||
\(22\) | 0.00299167 | − | 0.0196858i | 0.000637826 | − | 0.00419703i | ||||
\(23\) | 1.92989 | − | 1.61937i | 0.402410 | − | 0.337662i | −0.419014 | − | 0.907980i | \(-0.637624\pi\) |
0.821424 | + | 0.570317i | \(0.193180\pi\) | |||||||
\(24\) | 3.72164 | + | 3.18581i | 0.759676 | + | 0.650302i | ||||
\(25\) | −2.67070 | + | 0.972056i | −0.534140 | + | 0.194411i | ||||
\(26\) | −2.19064 | + | 1.92851i | −0.429620 | + | 0.378213i | ||||
\(27\) | 3.60449 | − | 3.74268i | 0.693685 | − | 0.720279i | ||||
\(28\) | 2.00664 | − | 4.89626i | 0.379219 | − | 0.925307i | ||||
\(29\) | −2.29185 | + | 2.73132i | −0.425586 | + | 0.507193i | −0.935643 | − | 0.352947i | \(-0.885180\pi\) |
0.510058 | + | 0.860140i | \(0.329624\pi\) | |||||||
\(30\) | −3.00806 | − | 1.97458i | −0.549195 | − | 0.360507i | ||||
\(31\) | 0.515894 | − | 1.41741i | 0.0926573 | − | 0.254574i | −0.884703 | − | 0.466155i | \(-0.845639\pi\) |
0.977360 | + | 0.211581i | \(0.0678612\pi\) | |||||||
\(32\) | −5.61713 | + | 0.669218i | −0.992978 | + | 0.118302i | ||||
\(33\) | 0.0198885 | − | 0.0141127i | 0.00346214 | − | 0.00245671i | ||||
\(34\) | 0.0769734 | + | 3.24503i | 0.0132008 | + | 0.556517i | ||||
\(35\) | −1.00611 | + | 3.75407i | −0.170063 | + | 0.634554i | ||||
\(36\) | 0.359601 | + | 5.98921i | 0.0599335 | + | 0.998202i | ||||
\(37\) | −0.994595 | + | 1.72269i | −0.163510 | + | 0.283208i | −0.936125 | − | 0.351667i | \(-0.885615\pi\) |
0.772615 | + | 0.634875i | \(0.218948\pi\) | |||||||
\(38\) | 0.138203 | + | 5.82635i | 0.0224195 | + | 0.945158i | ||||
\(39\) | −3.56279 | − | 0.289210i | −0.570503 | − | 0.0463107i | ||||
\(40\) | 4.03014 | − | 1.01054i | 0.637220 | − | 0.159781i | ||||
\(41\) | −0.938622 | − | 1.11861i | −0.146588 | − | 0.174697i | 0.687754 | − | 0.725944i | \(-0.258597\pi\) |
−0.834342 | + | 0.551247i | \(0.814152\pi\) | |||||||
\(42\) | 6.02084 | − | 2.39781i | 0.929036 | − | 0.369990i | ||||
\(43\) | 0.563883 | + | 1.54925i | 0.0859913 | + | 0.236259i | 0.975234 | − | 0.221177i | \(-0.0709900\pi\) |
−0.889242 | + | 0.457436i | \(0.848768\pi\) | |||||||
\(44\) | −0.00356948 | + | 0.0279324i | −0.000538120 | + | 0.00421097i | ||||
\(45\) | −0.819607 | − | 4.33005i | −0.122180 | − | 0.645486i | ||||
\(46\) | −2.67420 | + | 2.35422i | −0.394290 | + | 0.347110i | ||||
\(47\) | 4.42251 | − | 1.60966i | 0.645090 | − | 0.234794i | 0.00130397 | − | 0.999999i | \(-0.499585\pi\) |
0.643786 | + | 0.765206i | \(0.277363\pi\) | |||||||
\(48\) | −5.36855 | − | 4.37935i | −0.774884 | − | 0.632104i | ||||
\(49\) | −4.49896 | − | 5.36278i | −0.642708 | − | 0.766111i | ||||
\(50\) | 3.74328 | − | 1.46387i | 0.529380 | − | 0.207023i | ||||
\(51\) | −2.79339 | + | 2.82863i | −0.391153 | + | 0.396088i | ||||
\(52\) | 3.03249 | − | 2.80003i | 0.420530 | − | 0.388294i | ||||
\(53\) | −9.83550 | − | 5.67853i | −1.35101 | − | 0.780006i | −0.362619 | − | 0.931938i | \(-0.618117\pi\) |
−0.988391 | + | 0.151932i | \(0.951451\pi\) | |||||||
\(54\) | −4.97057 | + | 5.41234i | −0.676409 | + | 0.736526i | ||||
\(55\) | − | 0.0206829i | − | 0.00278888i | ||||||
\(56\) | −2.67282 | + | 6.98971i | −0.357170 | + | 0.934039i | ||||
\(57\) | −5.01544 | + | 5.07872i | −0.664312 | + | 0.672693i | ||||
\(58\) | 3.14865 | − | 3.93844i | 0.413439 | − | 0.517143i | ||||
\(59\) | −4.91278 | + | 4.12231i | −0.639589 | + | 0.536679i | −0.903892 | − | 0.427761i | \(-0.859303\pi\) |
0.264303 | + | 0.964440i | \(0.414858\pi\) | |||||||
\(60\) | 4.31907 | + | 2.69081i | 0.557589 | + | 0.347382i | ||||
\(61\) | −12.6903 | + | 4.61888i | −1.62482 | + | 0.591387i | −0.984292 | − | 0.176547i | \(-0.943507\pi\) |
−0.640529 | + | 0.767934i | \(0.721285\pi\) | |||||||
\(62\) | −0.681845 | + | 2.02125i | −0.0865944 | + | 0.256700i | ||||
\(63\) | 7.23492 | + | 3.26435i | 0.911514 | + | 0.411270i | ||||
\(64\) | 7.91914 | − | 1.13453i | 0.989893 | − | 0.141816i | ||||
\(65\) | −1.94867 | + | 2.32234i | −0.241703 | + | 0.288050i | ||||
\(66\) | −0.0276454 | + | 0.0206198i | −0.00340291 | + | 0.00253812i | ||||
\(67\) | −6.18343 | + | 1.09031i | −0.755426 | + | 0.133202i | −0.538082 | − | 0.842893i | \(-0.680851\pi\) |
−0.217345 | + | 0.976095i | \(0.569740\pi\) | |||||||
\(68\) | −0.217652 | − | 4.58529i | −0.0263942 | − | 0.556048i | ||||
\(69\) | −4.34924 | − | 0.353051i | −0.523587 | − | 0.0425024i | ||||
\(70\) | 1.29655 | − | 5.34130i | 0.154968 | − | 0.638408i | ||||
\(71\) | 1.34225 | + | 2.32484i | 0.159295 | + | 0.275908i | 0.934615 | − | 0.355662i | \(-0.115744\pi\) |
−0.775319 | + | 0.631569i | \(0.782411\pi\) | |||||||
\(72\) | −0.709266 | − | 8.45559i | −0.0835878 | − | 0.996500i | ||||
\(73\) | 0.541328 | + | 0.937608i | 0.0633577 | + | 0.109739i | 0.895964 | − | 0.444126i | \(-0.146486\pi\) |
−0.832607 | + | 0.553865i | \(0.813152\pi\) | |||||||
\(74\) | 1.34840 | − | 2.46892i | 0.156749 | − | 0.287006i | ||||
\(75\) | 4.47440 | + | 2.05240i | 0.516659 | + | 0.236991i | ||||
\(76\) | −0.390788 | − | 8.23275i | −0.0448265 | − | 0.944361i | ||||
\(77\) | 0.0305136 | + | 0.0213682i | 0.00347735 | + | 0.00243514i | ||||
\(78\) | 5.04683 | + | 0.289408i | 0.571440 | + | 0.0327690i | ||||
\(79\) | −15.0615 | − | 2.65575i | −1.69455 | − | 0.298795i | −0.758764 | − | 0.651366i | \(-0.774196\pi\) |
−0.935785 | + | 0.352571i | \(0.885308\pi\) | |||||||
\(80\) | −5.66398 | + | 1.56388i | −0.633252 | + | 0.174847i | ||||
\(81\) | −8.99717 | + | 0.225651i | −0.999686 | + | 0.0250724i | ||||
\(82\) | 1.36455 | + | 1.55002i | 0.150690 | + | 0.171172i | ||||
\(83\) | −12.9130 | − | 10.8353i | −1.41739 | − | 1.18933i | −0.952722 | − | 0.303842i | \(-0.901731\pi\) |
−0.464664 | − | 0.885487i | \(-0.653825\pi\) | |||||||
\(84\) | −8.43194 | + | 3.59198i | −0.920000 | + | 0.391917i | ||||
\(85\) | 0.585479 | + | 3.32041i | 0.0635041 | + | 0.360150i | ||||
\(86\) | −0.849182 | − | 2.17145i | −0.0915697 | − | 0.234153i | ||||
\(87\) | 6.14861 | − | 0.576794i | 0.659200 | − | 0.0618388i | ||||
\(88\) | 0.00410984 | − | 0.0396110i | 0.000438110 | − | 0.00422255i | ||||
\(89\) | 6.30985i | 0.668842i | 0.942424 | + | 0.334421i | \(0.108541\pi\) | ||||
−0.942424 | + | 0.334421i | \(0.891459\pi\) | |||||||
\(90\) | 1.30399 | + | 6.09441i | 0.137452 | + | 0.642407i | ||||
\(91\) | −1.41292 | − | 5.27417i | −0.148114 | − | 0.552884i | ||||
\(92\) | 3.70188 | − | 3.41811i | 0.385948 | − | 0.356363i | ||||
\(93\) | −2.36083 | + | 1.11895i | −0.244807 | + | 0.116029i | ||||
\(94\) | −6.19864 | + | 2.42408i | −0.639341 | + | 0.250025i | ||||
\(95\) | 1.05121 | + | 5.96170i | 0.107852 | + | 0.611658i | ||||
\(96\) | 7.73701 | + | 6.01155i | 0.789655 | + | 0.613551i | ||||
\(97\) | 7.83670 | − | 2.85233i | 0.795697 | − | 0.289610i | 0.0879947 | − | 0.996121i | \(-0.471954\pi\) |
0.707702 | + | 0.706511i | \(0.249732\pi\) | |||||||
\(98\) | 6.54055 | + | 7.43110i | 0.660695 | + | 0.750655i | ||||
\(99\) | −0.0416863 | − | 0.00681270i | −0.00418963 | − | 0.000684702i | ||||
\(100\) | −5.24322 | + | 2.19518i | −0.524322 | + | 0.219518i | ||||
\(101\) | −10.2370 | + | 12.2000i | −1.01862 | + | 1.21394i | −0.0419681 | + | 0.999119i | \(0.513363\pi\) |
−0.976652 | + | 0.214826i | \(0.931082\pi\) | |||||||
\(102\) | 3.85448 | − | 4.09284i | 0.381650 | − | 0.405252i | ||||
\(103\) | 7.48532 | − | 1.31986i | 0.737551 | − | 0.130050i | 0.207762 | − | 0.978179i | \(-0.433382\pi\) |
0.529789 | + | 0.848129i | \(0.322271\pi\) | |||||||
\(104\) | −4.19348 | + | 4.06042i | −0.411204 | + | 0.398157i | ||||
\(105\) | 5.80879 | − | 3.40203i | 0.566880 | − | 0.332004i | ||||
\(106\) | 14.0960 | + | 7.69855i | 1.36913 | + | 0.747749i | ||||
\(107\) | −7.01422 | − | 12.1490i | −0.678090 | − | 1.17449i | −0.975555 | − | 0.219754i | \(-0.929475\pi\) |
0.297465 | − | 0.954733i | \(-0.403859\pi\) | |||||||
\(108\) | 6.84596 | − | 7.81875i | 0.658753 | − | 0.752359i | ||||
\(109\) | −3.13424 | + | 5.42866i | −0.300205 | + | 0.519971i | −0.976182 | − | 0.216952i | \(-0.930389\pi\) |
0.675977 | + | 0.736923i | \(0.263722\pi\) | |||||||
\(110\) | 0.000693628 | 0.0292418i | 6.61349e−5 | 0.00278810i | ||||||
\(111\) | 3.32232 | − | 0.912574i | 0.315341 | − | 0.0866177i | ||||
\(112\) | 3.54446 | − | 9.97180i | 0.334920 | − | 0.942247i | ||||
\(113\) | 3.14446 | − | 8.63934i | 0.295806 | − | 0.812721i | −0.699383 | − | 0.714747i | \(-0.746542\pi\) |
0.995189 | − | 0.0979736i | \(-0.0312361\pi\) | |||||||
\(114\) | 6.92059 | − | 7.34858i | 0.648173 | − | 0.688257i | ||||
\(115\) | −2.37882 | + | 2.83497i | −0.221826 | + | 0.264362i | ||||
\(116\) | −4.31954 | + | 5.67383i | −0.401059 | + | 0.526802i | ||||
\(117\) | 4.03879 | + | 4.69249i | 0.373387 | + | 0.433821i | ||||
\(118\) | 6.80751 | − | 5.99294i | 0.626682 | − | 0.551695i | ||||
\(119\) | −5.50351 | − | 2.56667i | −0.504506 | − | 0.235287i | ||||
\(120\) | −6.19661 | − | 3.65946i | −0.565670 | − | 0.334062i | ||||
\(121\) | 10.3364 | + | 3.76215i | 0.939676 | + | 0.342014i | ||||
\(122\) | 17.7868 | − | 6.95583i | 1.61034 | − | 0.629751i | ||||
\(123\) | −0.204636 | + | 2.52091i | −0.0184514 | + | 0.227303i | ||||
\(124\) | 0.896218 | − | 2.88055i | 0.0804827 | − | 0.258681i | ||||
\(125\) | 9.97651 | − | 5.75994i | 0.892326 | − | 0.515185i | ||||
\(126\) | −10.3383 | − | 4.37256i | −0.921010 | − | 0.389539i | ||||
\(127\) | −1.57419 | − | 0.908861i | −0.139687 | − | 0.0806484i | 0.428528 | − | 0.903529i | \(-0.359032\pi\) |
−0.568215 | + | 0.822880i | \(0.692366\pi\) | |||||||
\(128\) | −11.1582 | + | 1.86959i | −0.986252 | + | 0.165250i | ||||
\(129\) | 1.19058 | − | 2.59557i | 0.104825 | − | 0.228527i | ||||
\(130\) | 2.67718 | − | 3.34871i | 0.234804 | − | 0.293701i | ||||
\(131\) | 12.3069 | − | 10.3267i | 1.07526 | − | 0.902251i | 0.0797423 | − | 0.996816i | \(-0.474590\pi\) |
0.995519 | + | 0.0945644i | \(0.0301458\pi\) | |||||||
\(132\) | 0.0383940 | − | 0.0300797i | 0.00334177 | − | 0.00261810i | ||||
\(133\) | −9.88138 | − | 4.60839i | −0.856824 | − | 0.399598i | ||||
\(134\) | 8.70567 | − | 1.74886i | 0.752055 | − | 0.151079i | ||||
\(135\) | −4.25978 | + | 6.33384i | −0.366623 | + | 0.545131i | ||||
\(136\) | 0.461494 | + | 6.47545i | 0.0395728 | + | 0.555266i | ||||
\(137\) | 2.85975 | + | 7.85711i | 0.244325 | + | 0.671278i | 0.999869 | + | 0.0161801i | \(0.00515052\pi\) |
−0.755544 | + | 0.655098i | \(0.772627\pi\) | |||||||
\(138\) | 6.16087 | + | 0.353292i | 0.524448 | + | 0.0300742i | ||||
\(139\) | 8.27560 | − | 1.45921i | 0.701927 | − | 0.123769i | 0.188717 | − | 0.982032i | \(-0.439567\pi\) |
0.513210 | + | 0.858263i | \(0.328456\pi\) | |||||||
\(140\) | −1.65396 | + | 7.59510i | −0.139785 | + | 0.641903i | ||||
\(141\) | −7.40933 | − | 3.39864i | −0.623978 | − | 0.286217i | ||||
\(142\) | −1.97566 | − | 3.24188i | −0.165793 | − | 0.272053i | ||||
\(143\) | 0.0145285 | + | 0.0251642i | 0.00121494 | + | 0.00210433i | ||||
\(144\) | 1.28634 | + | 11.9309i | 0.107195 | + | 0.994238i | ||||
\(145\) | 2.61881 | − | 4.53591i | 0.217480 | − | 0.376687i | ||||
\(146\) | −0.796783 | − | 1.30745i | −0.0659422 | − | 0.108205i | ||||
\(147\) | −0.982224 | + | 12.0845i | −0.0810124 | + | 0.996713i | ||||
\(148\) | −1.82359 | + | 3.53582i | −0.149898 | + | 0.290643i | ||||
\(149\) | 5.36195 | − | 14.7318i | 0.439268 | − | 1.20688i | −0.500702 | − | 0.865620i | \(-0.666925\pi\) |
0.939970 | − | 0.341258i | \(-0.110853\pi\) | |||||||
\(150\) | −6.39481 | − | 2.75166i | −0.522134 | − | 0.224672i | ||||
\(151\) | −10.6170 | − | 1.87207i | −0.864001 | − | 0.152347i | −0.275952 | − | 0.961172i | \(-0.588993\pi\) |
−0.588050 | + | 0.808825i | \(0.700104\pi\) | |||||||
\(152\) | 0.828598 | + | 11.6265i | 0.0672082 | + | 0.943032i | ||||
\(153\) | 6.88513 | − | 0.0863269i | 0.556630 | − | 0.00697911i | ||||
\(154\) | −0.0438573 | − | 0.0291874i | −0.00353412 | − | 0.00235199i | ||||
\(155\) | −0.384764 | + | 2.18211i | −0.0309050 | + | 0.175271i | ||||
\(156\) | −7.14499 | − | 0.239917i | −0.572057 | − | 0.0192087i | ||||
\(157\) | 12.5738 | − | 10.5507i | 1.00350 | − | 0.842034i | 0.0160315 | − | 0.999871i | \(-0.494897\pi\) |
0.987465 | + | 0.157838i | \(0.0504523\pi\) | |||||||
\(158\) | 21.3832 | + | 3.24963i | 1.70116 | + | 0.258527i | ||||
\(159\) | 5.21024 | + | 18.9684i | 0.413199 | + | 1.50429i | ||||
\(160\) | 7.95538 | − | 2.40098i | 0.628928 | − | 0.189814i | ||||
\(161\) | −1.72481 | − | 6.43840i | −0.135934 | − | 0.507417i | ||||
\(162\) | 12.7128 | − | 0.620761i | 0.998810 | − | 0.0487716i | ||||
\(163\) | −13.2329 | + | 7.64005i | −1.03648 | + | 0.598415i | −0.918836 | − | 0.394641i | \(-0.870869\pi\) |
−0.117649 | + | 0.993055i | \(0.537536\pi\) | |||||||
\(164\) | −1.98121 | − | 2.14569i | −0.154706 | − | 0.167550i | ||||
\(165\) | −0.0251720 | + | 0.0254896i | −0.00195964 | + | 0.00198436i | ||||
\(166\) | 18.6200 | + | 14.8861i | 1.44519 | + | 1.15538i | ||||
\(167\) | 2.34744 | + | 0.854399i | 0.181650 | + | 0.0661154i | 0.431244 | − | 0.902235i | \(-0.358075\pi\) |
−0.249594 | + | 0.968351i | \(0.580297\pi\) | |||||||
\(168\) | 11.8008 | − | 5.36118i | 0.910448 | − | 0.413624i | ||||
\(169\) | −1.51785 | + | 8.60817i | −0.116758 | + | 0.662167i | ||||
\(170\) | −0.939113 | − | 4.67482i | −0.0720267 | − | 0.358542i | ||||
\(171\) | 12.3621 | − | 0.154997i | 0.945350 | − | 0.0118529i | ||||
\(172\) | 1.27341 | + | 3.04155i | 0.0970966 | + | 0.231916i | ||||
\(173\) | −1.64020 | + | 1.95471i | −0.124702 | + | 0.148614i | −0.824783 | − | 0.565449i | \(-0.808703\pi\) |
0.700081 | + | 0.714063i | \(0.253147\pi\) | |||||||
\(174\) | −8.67365 | + | 1.02168i | −0.657548 | + | 0.0774535i | ||||
\(175\) | −0.655755 | + | 7.49084i | −0.0495704 | + | 0.566255i | ||||
\(176\) | −0.00448215 | + | 0.0561405i | −0.000337855 | + | 0.00423175i | ||||
\(177\) | 11.0715 | + | 0.898734i | 0.832187 | + | 0.0675530i | ||||
\(178\) | −0.211609 | − | 8.92096i | −0.0158608 | − | 0.668654i | ||||
\(179\) | −5.64831 | −0.422174 | −0.211087 | − | 0.977467i | \(-0.567700\pi\) | ||||
−0.211087 | + | 0.977467i | \(0.567700\pi\) | |||||||
\(180\) | −2.04798 | − | 8.57264i | −0.152648 | − | 0.638967i | ||||
\(181\) | 9.61726 | − | 16.6576i | 0.714845 | − | 1.23815i | −0.248174 | − | 0.968715i | \(-0.579831\pi\) |
0.963019 | − | 0.269433i | \(-0.0868361\pi\) | |||||||
\(182\) | 2.17448 | + | 7.40933i | 0.161183 | + | 0.549216i | ||||
\(183\) | 21.2608 | + | 9.75230i | 1.57165 | + | 0.720911i | ||||
\(184\) | −5.11915 | + | 4.95673i | −0.377389 | + | 0.365415i | ||||
\(185\) | 0.999410 | − | 2.74586i | 0.0734781 | − | 0.201879i | ||||
\(186\) | 3.30026 | − | 1.66116i | 0.241987 | − | 0.121802i | ||||
\(187\) | 0.0318253 | + | 0.00561166i | 0.00232730 | + | 0.000410366i | ||||
\(188\) | 8.68244 | − | 3.63509i | 0.633232 | − | 0.265116i | ||||
\(189\) | −4.94344 | − | 12.8282i | −0.359582 | − | 0.933113i | ||||
\(190\) | −1.68615 | − | 8.39350i | −0.122326 | − | 0.608928i | ||||
\(191\) | 2.76413 | − | 15.6762i | 0.200006 | − | 1.13429i | −0.705102 | − | 0.709106i | \(-0.749099\pi\) |
0.905108 | − | 0.425183i | \(-0.139790\pi\) | |||||||
\(192\) | −11.1403 | − | 8.23975i | −0.803983 | − | 0.594653i | ||||
\(193\) | 25.3777 | + | 9.23671i | 1.82672 | + | 0.664873i | 0.993759 | + | 0.111547i | \(0.0355806\pi\) |
0.832965 | + | 0.553326i | \(0.186642\pi\) | |||||||
\(194\) | −10.9840 | + | 4.29548i | −0.788605 | + | 0.308397i | ||||
\(195\) | 5.22792 | − | 0.490426i | 0.374379 | − | 0.0351201i | ||||
\(196\) | −9.49634 | − | 10.2869i | −0.678310 | − | 0.734776i | ||||
\(197\) | 12.9337 | + | 7.46726i | 0.921487 | + | 0.532021i | 0.884109 | − | 0.467281i | \(-0.154766\pi\) |
0.0373776 | + | 0.999301i | \(0.488100\pi\) | |||||||
\(198\) | 0.0591653 | + | 0.00823389i | 0.00420469 | + | 0.000585157i | ||||
\(199\) | − | 7.82906i | − | 0.554987i | −0.960727 | − | 0.277494i | \(-0.910496\pi\) | ||
0.960727 | − | 0.277494i | \(-0.0895038\pi\) | |||||||
\(200\) | 7.33933 | − | 3.27942i | 0.518969 | − | 0.231890i | ||||
\(201\) | 8.94740 | + | 6.18181i | 0.631101 | + | 0.436031i | ||||
\(202\) | 14.0641 | − | 17.5919i | 0.989547 | − | 1.23776i | ||||
\(203\) | 3.98628 | + | 8.54976i | 0.279782 | + | 0.600075i | ||||
\(204\) | −5.31226 | + | 5.91579i | −0.371933 | + | 0.414188i | ||||
\(205\) | 1.64321 | + | 1.37882i | 0.114767 | + | 0.0963006i | ||||
\(206\) | −10.5386 | + | 2.11708i | −0.734259 | + | 0.147504i | ||||
\(207\) | 4.93032 | + | 5.72832i | 0.342681 | + | 0.398145i | ||||
\(208\) | 5.79263 | − | 5.88132i | 0.401647 | − | 0.407796i | ||||
\(209\) | 0.0571414 | + | 0.0100756i | 0.00395255 | + | 0.000696942i | ||||
\(210\) | −8.09847 | + | 5.00465i | −0.558847 | + | 0.345354i | ||||
\(211\) | −6.91309 | + | 18.9936i | −0.475917 | + | 1.30757i | 0.437013 | + | 0.899455i | \(0.356036\pi\) |
−0.912930 | + | 0.408116i | \(0.866186\pi\) | |||||||
\(212\) | −20.1874 | − | 10.4116i | −1.38647 | − | 0.715071i | ||||
\(213\) | 1.17525 | − | 4.49870i | 0.0805266 | − | 0.308246i | ||||
\(214\) | 10.3242 | + | 16.9412i | 0.705751 | + | 1.15808i | ||||
\(215\) | −1.21094 | − | 2.09741i | −0.0825854 | − | 0.143042i | ||||
\(216\) | −9.41672 | + | 11.2839i | −0.640726 | + | 0.767769i | ||||
\(217\) | −2.82176 | − | 2.82206i | −0.191554 | − | 0.191574i | ||||
\(218\) | 4.24918 | − | 7.78023i | 0.287791 | − | 0.526944i | ||||
\(219\) | 0.473978 | − | 1.81433i | 0.0320284 | − | 0.122601i | ||||
\(220\) | −0.00196133 | − | 0.0413193i | −0.000132233 | − | 0.00278575i | ||||
\(221\) | −3.04473 | − | 3.62856i | −0.204811 | − | 0.244084i | ||||
\(222\) | −4.66655 | + | 1.40163i | −0.313198 | + | 0.0940713i | ||||
\(223\) | 0.229080 | + | 0.0403929i | 0.0153403 | + | 0.00270491i | 0.181313 | − | 0.983425i | \(-0.441965\pi\) |
−0.165973 | + | 0.986130i | \(0.553076\pi\) | |||||||
\(224\) | −4.67680 | + | 14.2172i | −0.312482 | + | 0.949924i | ||||
\(225\) | −3.01639 | − | 7.97491i | −0.201092 | − | 0.531661i | ||||
\(226\) | −4.15596 | + | 12.3199i | −0.276450 | + | 0.819507i | ||||
\(227\) | −1.77188 | + | 10.0488i | −0.117604 | + | 0.666963i | 0.867825 | + | 0.496871i | \(0.165518\pi\) |
−0.985428 | + | 0.170092i | \(0.945593\pi\) | |||||||
\(228\) | −9.53800 | + | 10.6216i | −0.631669 | + | 0.703434i | ||||
\(229\) | −12.4047 | − | 4.51496i | −0.819728 | − | 0.298357i | −0.102092 | − | 0.994775i | \(-0.532554\pi\) |
−0.717636 | + | 0.696418i | \(0.754776\pi\) | |||||||
\(230\) | 3.26814 | − | 4.08790i | 0.215495 | − | 0.269548i | ||||
\(231\) | −0.0115989 | − | 0.0634706i | −0.000763151 | − | 0.00417606i | ||||
\(232\) | 5.91675 | − | 8.16661i | 0.388454 | − | 0.536164i | ||||
\(233\) | 5.50550 | + | 3.17860i | 0.360677 | + | 0.208237i | 0.669378 | − | 0.742922i | \(-0.266561\pi\) |
−0.308701 | + | 0.951159i | \(0.599894\pi\) | |||||||
\(234\) | −5.86748 | − | 6.49887i | −0.383569 | − | 0.424844i | ||||
\(235\) | −5.98728 | + | 3.45676i | −0.390567 | + | 0.225494i | ||||
\(236\) | −9.42359 | + | 8.70121i | −0.613423 | + | 0.566401i | ||||
\(237\) | 15.3296 | + | 21.6034i | 0.995764 | + | 1.40329i | ||||
\(238\) | 7.86702 | + | 3.44424i | 0.509943 | + | 0.223257i | ||||
\(239\) | −0.808144 | − | 4.58321i | −0.0522745 | − | 0.296463i | 0.947451 | − | 0.319902i | \(-0.103650\pi\) |
−0.999725 | + | 0.0234382i | \(0.992539\pi\) | |||||||
\(240\) | 8.88358 | + | 4.96599i | 0.573433 | + | 0.320553i | ||||
\(241\) | −12.8996 | + | 4.69507i | −0.830935 | + | 0.302436i | −0.722243 | − | 0.691640i | \(-0.756889\pi\) |
−0.108693 | + | 0.994075i | \(0.534666\pi\) | |||||||
\(242\) | −14.7400 | − | 4.97235i | −0.947522 | − | 0.319635i | ||||
\(243\) | 11.3627 | + | 10.6719i | 0.728919 | + | 0.684600i | ||||
\(244\) | −24.9140 | + | 10.4308i | −1.59495 | + | 0.667761i | ||||
\(245\) | 7.87644 | + | 6.61051i | 0.503207 | + | 0.422330i | ||||
\(246\) | 0.204775 | − | 3.57097i | 0.0130560 | − | 0.227677i | ||||
\(247\) | −5.46672 | − | 6.51498i | −0.347839 | − | 0.414538i | ||||
\(248\) | −1.17048 | + | 4.10262i | −0.0743258 | + | 0.260517i | ||||
\(249\) | 2.72694 | + | 29.0691i | 0.172813 | + | 1.84218i | ||||
\(250\) | −13.9118 | + | 8.47807i | −0.879858 | + | 0.536200i | ||||
\(251\) | 6.64458 | − | 11.5088i | 0.419402 | − | 0.726426i | −0.576477 | − | 0.817113i | \(-0.695573\pi\) |
0.995879 | + | 0.0906871i | \(0.0289063\pi\) | |||||||
\(252\) | 14.7631 | + | 5.83529i | 0.929989 | + | 0.367589i | ||||
\(253\) | 0.0177356 | + | 0.0307189i | 0.00111503 | + | 0.00193128i | ||||
\(254\) | 2.25610 | + | 1.23217i | 0.141560 | + | 0.0773132i | ||||
\(255\) | 3.31955 | − | 4.80463i | 0.207878 | − | 0.300877i | ||||
\(256\) | 15.7129 | − | 3.01746i | 0.982056 | − | 0.188592i | ||||
\(257\) | 7.95488 | − | 21.8559i | 0.496212 | − | 1.36333i | −0.398698 | − | 0.917082i | \(-0.630538\pi\) |
0.894909 | − | 0.446248i | \(-0.147240\pi\) | |||||||
\(258\) | −1.59622 | + | 3.70958i | −0.0993762 | + | 0.230949i | ||||
\(259\) | 3.01845 | + | 4.31127i | 0.187558 | + | 0.267889i | ||||
\(260\) | −3.67274 | + | 4.82424i | −0.227773 | + | 0.299187i | ||||
\(261\) | −8.27952 | − | 6.77228i | −0.512489 | − | 0.419194i | ||||
\(262\) | −17.0534 | + | 15.0128i | −1.05356 | + | 0.927496i | ||||
\(263\) | −9.79687 | − | 8.22055i | −0.604101 | − | 0.506901i | 0.288660 | − | 0.957432i | \(-0.406790\pi\) |
−0.892761 | + | 0.450531i | \(0.851235\pi\) | |||||||
\(264\) | −0.0532733 | + | 0.0438147i | −0.00327874 | + | 0.00269661i | ||||
\(265\) | 15.6771 | + | 5.70602i | 0.963040 | + | 0.350518i | ||||
\(266\) | 14.1250 | + | 6.18403i | 0.866059 | + | 0.379167i | ||||
\(267\) | 7.67936 | − | 7.77625i | 0.469969 | − | 0.475899i | ||||
\(268\) | −12.2496 | + | 2.76452i | −0.748261 | + | 0.168870i | ||||
\(269\) | 2.17371 | + | 1.25499i | 0.132534 | + | 0.0765183i | 0.564801 | − | 0.825227i | \(-0.308953\pi\) |
−0.432267 | + | 0.901746i | \(0.642286\pi\) | |||||||
\(270\) | 5.81012 | − | 9.09775i | 0.353593 | − | 0.553671i | ||||
\(271\) | 1.18674 | − | 0.685162i | 0.0720890 | − | 0.0416206i | −0.463522 | − | 0.886085i | \(-0.653415\pi\) |
0.535611 | + | 0.844465i | \(0.320081\pi\) | |||||||
\(272\) | −0.869630 | − | 9.13962i | −0.0527291 | − | 0.554171i | ||||
\(273\) | −4.67762 | + | 8.21946i | −0.283102 | + | 0.497465i | ||||
\(274\) | −4.30666 | − | 11.0126i | −0.260175 | − | 0.665296i | ||||
\(275\) | −0.00694874 | − | 0.0394082i | −0.000419025 | − | 0.00237641i | ||||
\(276\) | −8.72218 | − | 0.292877i | −0.525014 | − | 0.0176291i | ||||
\(277\) | −13.6432 | − | 11.4480i | −0.819740 | − | 0.687843i | 0.133171 | − | 0.991093i | \(-0.457484\pi\) |
−0.952911 | + | 0.303250i | \(0.901928\pi\) | |||||||
\(278\) | −11.6512 | + | 2.34059i | −0.698794 | + | 0.140379i | ||||
\(279\) | 4.27129 | + | 1.49425i | 0.255716 | + | 0.0894584i | ||||
\(280\) | 2.08369 | − | 10.7935i | 0.124524 | − | 0.645038i | ||||
\(281\) | 8.54606 | + | 23.4801i | 0.509815 | + | 1.40071i | 0.881428 | + | 0.472318i | \(0.156582\pi\) |
−0.371613 | + | 0.928388i | \(0.621195\pi\) | |||||||
\(282\) | 10.5894 | + | 4.55658i | 0.630590 | + | 0.271340i | ||||
\(283\) | −15.7834 | + | 2.78304i | −0.938227 | + | 0.165435i | −0.621795 | − | 0.783180i | \(-0.713596\pi\) |
−0.316432 | + | 0.948615i | \(0.602485\pi\) | |||||||
\(284\) | 2.90194 | + | 4.51717i | 0.172198 | + | 0.268045i | ||||
\(285\) | 5.96014 | − | 8.62656i | 0.353048 | − | 0.510993i | ||||
\(286\) | −0.0213846 | − | 0.0350902i | −0.00126450 | − | 0.00207493i | ||||
\(287\) | −3.73183 | + | 0.999734i | −0.220283 | + | 0.0590124i | ||||
\(288\) | −2.21876 | − | 16.8249i | −0.130742 | − | 0.991416i | ||||
\(289\) | 11.7319 | 0.690114 | ||||||||
\(290\) | −3.55040 | + | 6.50077i | −0.208487 | + | 0.381738i | ||||
\(291\) | −13.1293 | − | 6.02240i | −0.769656 | − | 0.353040i | ||||
\(292\) | 1.17035 | + | 1.82177i | 0.0684896 | + | 0.106611i | ||||
\(293\) | −12.4088 | + | 2.18801i | −0.724929 | + | 0.127825i | −0.523923 | − | 0.851765i | \(-0.675532\pi\) |
−0.201006 | + | 0.979590i | \(0.564421\pi\) | |||||||
\(294\) | 0.983414 | − | 17.1182i | 0.0573539 | − | 0.998354i | ||||
\(295\) | 6.05558 | − | 7.21676i | 0.352570 | − | 0.420176i | ||||
\(296\) | 2.45965 | − | 5.06015i | 0.142964 | − | 0.294115i | ||||
\(297\) | 0.0430828 | + | 0.0591300i | 0.00249992 | + | 0.00343107i | ||||
\(298\) | −7.08675 | + | 21.0079i | −0.410525 | + | 1.21696i | ||||
\(299\) | 0.902828 | − | 5.12019i | 0.0522119 | − | 0.296108i | ||||
\(300\) | 9.13337 | + | 3.67588i | 0.527315 | + | 0.212227i | ||||
\(301\) | 4.34538 | + | 0.380399i | 0.250464 | + | 0.0219258i | ||||
\(302\) | 15.0733 | + | 2.29070i | 0.867371 | + | 0.131815i | ||||
\(303\) | 27.4640 | − | 2.57637i | 1.57777 | − | 0.148008i | ||||
\(304\) | −1.56139 | − | 16.4099i | −0.0895521 | − | 0.941173i | ||||
\(305\) | 17.1803 | − | 9.91906i | 0.983742 | − | 0.567964i | ||||
\(306\) | −9.73142 | + | 0.352952i | −0.556308 | + | 0.0201769i | ||||
\(307\) | 2.98225 | − | 1.72180i | 0.170206 | − | 0.0982684i | −0.412477 | − | 0.910968i | \(-0.635336\pi\) |
0.582683 | + | 0.812700i | \(0.302003\pi\) | |||||||
\(308\) | 0.0629849 | + | 0.0397948i | 0.00358890 | + | 0.00226752i | ||||
\(309\) | −10.8312 | − | 7.48336i | −0.616167 | − | 0.425714i | ||||
\(310\) | 0.470806 | − | 3.09800i | 0.0267400 | − | 0.175955i | ||||
\(311\) | −5.23157 | − | 29.6697i | −0.296655 | − | 1.68241i | −0.660398 | − | 0.750915i | \(-0.729613\pi\) |
0.363743 | − | 0.931499i | \(-0.381499\pi\) | |||||||
\(312\) | 10.1097 | + | 0.0995823i | 0.572351 | + | 0.00563774i | ||||
\(313\) | −18.5157 | − | 15.5365i | −1.04657 | − | 0.878175i | −0.0538394 | − | 0.998550i | \(-0.517146\pi\) |
−0.992729 | + | 0.120375i | \(0.961590\pi\) | |||||||
\(314\) | −17.4232 | + | 15.3384i | −0.983247 | + | 0.865593i | ||||
\(315\) | −11.2992 | − | 2.87689i | −0.636636 | − | 0.162094i | ||||
\(316\) | −30.3409 | − | 3.87726i | −1.70681 | − | 0.218113i | ||||
\(317\) | −6.10726 | − | 16.7796i | −0.343018 | − | 0.942435i | −0.984514 | − | 0.175308i | \(-0.943908\pi\) |
0.641495 | − | 0.767127i | \(-0.278314\pi\) | |||||||
\(318\) | −8.00245 | − | 26.6431i | −0.448755 | − | 1.49407i | ||||
\(319\) | −0.0322688 | − | 0.0384564i | −0.00180670 | − | 0.00215315i | ||||
\(320\) | −11.1669 | + | 3.66134i | −0.624250 | + | 0.204675i | ||||
\(321\) | −6.14152 | + | 23.5090i | −0.342786 | + | 1.31214i | ||||
\(322\) | 2.65448 | + | 9.04487i | 0.147928 | + | 0.504051i | ||||
\(323\) | −9.45864 | −0.526293 | ||||||||
\(324\) | −17.9527 | + | 1.30398i | −0.997373 | + | 0.0724434i | ||||
\(325\) | −2.93268 | + | 5.07956i | −0.162676 | + | 0.281763i | ||||
\(326\) | 18.4527 | − | 11.2454i | 1.02200 | − | 0.622825i | ||||
\(327\) | 10.4695 | − | 2.87577i | 0.578967 | − | 0.159030i | ||||
\(328\) | 2.87302 | + | 2.96716i | 0.158636 | + | 0.163834i | ||||
\(329\) | 1.08589 | − | 12.4044i | 0.0598670 | − | 0.683875i | ||||
\(330\) | 0.0347337 | − | 0.0368818i | 0.00191203 | − | 0.00203027i | ||||
\(331\) | −9.80826 | − | 26.9480i | −0.539111 | − | 1.48119i | −0.847948 | − | 0.530079i | \(-0.822162\pi\) |
0.308838 | − | 0.951115i | \(-0.400060\pi\) | |||||||
\(332\) | −26.8245 | − | 20.4217i | −1.47218 | − | 1.12079i | ||||
\(333\) | −5.20507 | − | 2.91876i | −0.285236 | − | 0.159947i | ||||
\(334\) | −3.34750 | − | 1.12924i | −0.183167 | − | 0.0617892i | ||||
\(335\) | 8.66721 | − | 3.15461i | 0.473540 | − | 0.172355i | ||||
\(336\) | −16.5043 | + | 7.97547i | −0.900383 | + | 0.435098i | ||||
\(337\) | −6.35241 | + | 5.33030i | −0.346038 | + | 0.290360i | −0.799197 | − | 0.601070i | \(-0.794741\pi\) |
0.453159 | + | 0.891430i | \(0.350297\pi\) | |||||||
\(338\) | 1.85728 | − | 12.2213i | 0.101023 | − | 0.664750i | ||||
\(339\) | −14.3897 | + | 6.82016i | −0.781540 | + | 0.370420i | ||||
\(340\) | 1.48451 | + | 6.57784i | 0.0805088 | + | 0.356733i | ||||
\(341\) | 0.0183923 | + | 0.0106188i | 0.000995998 | + | 0.000575040i | ||||
\(342\) | −17.4725 | + | 0.633715i | −0.944803 | + | 0.0342674i | ||||
\(343\) | −17.8899 | + | 4.79062i | −0.965966 | + | 0.258669i | ||||
\(344\) | −1.90237 | − | 4.25749i | −0.102569 | − | 0.229548i | ||||
\(345\) | 6.38194 | − | 0.598683i | 0.343592 | − | 0.0322320i | ||||
\(346\) | 2.25338 | − | 2.81861i | 0.121143 | − | 0.151529i | ||||
\(347\) | 15.3166 | + | 5.57480i | 0.822241 | + | 0.299271i | 0.718670 | − | 0.695351i | \(-0.244751\pi\) |
0.103570 | + | 0.994622i | \(0.466973\pi\) | |||||||
\(348\) | 12.2287 | − | 1.73535i | 0.655526 | − | 0.0930247i | ||||
\(349\) | −25.0726 | − | 21.0384i | −1.34210 | − | 1.12616i | −0.981080 | − | 0.193604i | \(-0.937982\pi\) |
−0.361025 | − | 0.932556i | \(-0.617573\pi\) | |||||||
\(350\) | 0.675902 | − | 10.6127i | 0.0361285 | − | 0.567271i | ||||
\(351\) | 0.733561 | − | 10.6984i | 0.0391546 | − | 0.571038i | ||||
\(352\) | 0.00445419 | − | 0.0795227i | 0.000237409 | − | 0.00423857i | ||||
\(353\) | 9.41981 | + | 25.8807i | 0.501366 | + | 1.37749i | 0.889942 | + | 0.456074i | \(0.150745\pi\) |
−0.388576 | + | 0.921417i | \(0.627033\pi\) | |||||||
\(354\) | −15.6832 | − | 0.899347i | −0.833555 | − | 0.0477998i | ||||
\(355\) | −2.53481 | − | 3.02087i | −0.134534 | − | 0.160331i | ||||
\(356\) | 0.598352 | + | 12.6055i | 0.0317126 | + | 0.668090i | ||||
\(357\) | 3.65876 | + | 9.86117i | 0.193642 | + | 0.521909i | ||||
\(358\) | 7.98567 | − | 0.189423i | 0.422056 | − | 0.0100113i | ||||
\(359\) | 8.18813 | 0.432153 | 0.216077 | − | 0.976376i | \(-0.430674\pi\) | ||||
0.216077 | + | 0.976376i | \(0.430674\pi\) | |||||||
\(360\) | 3.18296 | + | 12.0515i | 0.167757 | + | 0.635167i | ||||
\(361\) | 2.01730 | 0.106174 | ||||||||
\(362\) | −13.0384 | + | 23.8733i | −0.685283 | + | 1.25475i | ||||
\(363\) | −8.15990 | − | 17.2164i | −0.428284 | − | 0.903624i | ||||
\(364\) | −3.32280 | − | 10.4025i | −0.174162 | − | 0.545239i | ||||
\(365\) | −1.02229 | − | 1.21832i | −0.0535091 | − | 0.0637696i | ||||
\(366\) | −30.3860 | − | 13.0749i | −1.58830 | − | 0.683439i | ||||
\(367\) | 17.5857 | + | 3.10084i | 0.917968 | + | 0.161863i | 0.612620 | − | 0.790378i | \(-0.290116\pi\) |
0.305349 | + | 0.952241i | \(0.401227\pi\) | |||||||
\(368\) | 7.07130 | − | 7.17957i | 0.368617 | − | 0.374261i | ||||
\(369\) | 3.32025 | − | 2.85772i | 0.172845 | − | 0.148767i | ||||
\(370\) | −1.32090 | + | 3.91565i | −0.0686701 | + | 0.203565i | ||||
\(371\) | −24.6147 | + | 17.2335i | −1.27793 | + | 0.894720i | ||||
\(372\) | −4.61025 | + | 2.45925i | −0.239030 | + | 0.127506i | ||||
\(373\) | 0.529704 | + | 3.00410i | 0.0274270 | + | 0.155547i | 0.995445 | − | 0.0953326i | \(-0.0303915\pi\) |
−0.968018 | + | 0.250879i | \(0.919280\pi\) | |||||||
\(374\) | −0.0451833 | − | 0.00686656i | −0.00233638 | − | 0.000355061i | ||||
\(375\) | −19.3051 | − | 5.04330i | −0.996913 | − | 0.260435i | ||||
\(376\) | −12.1535 | + | 5.43052i | −0.626767 | + | 0.280058i | ||||
\(377\) | 7.35824i | 0.378969i | ||||||||
\(378\) | 7.41932 | + | 17.9709i | 0.381609 | + | 0.924324i | ||||
\(379\) | 29.6655i | 1.52381i | 0.647687 | + | 0.761907i | \(0.275737\pi\) | ||||
−0.647687 | + | 0.761907i | \(0.724263\pi\) | |||||||
\(380\) | 2.66539 | + | 11.8103i | 0.136732 | + | 0.605856i | ||||
\(381\) | 0.833911 | + | 3.03594i | 0.0427225 | + | 0.155536i | ||||
\(382\) | −3.38225 | + | 22.2559i | −0.173051 | + | 1.13871i | ||||
\(383\) | −4.57086 | − | 25.9226i | −0.233560 | − | 1.32458i | −0.845625 | − | 0.533777i | \(-0.820772\pi\) |
0.612066 | − | 0.790807i | \(-0.290339\pi\) | |||||||
\(384\) | 16.0267 | + | 11.2759i | 0.817858 | + | 0.575420i | ||||
\(385\) | −0.0495936 | − | 0.0231290i | −0.00252753 | − | 0.00117876i | ||||
\(386\) | −36.1891 | − | 12.2079i | −1.84198 | − | 0.621368i | ||||
\(387\) | −4.62619 | + | 1.74978i | −0.235162 | + | 0.0889465i | ||||
\(388\) | 15.3853 | − | 6.44138i | 0.781070 | − | 0.327011i | ||||
\(389\) | 29.3499 | + | 5.17518i | 1.48810 | + | 0.262392i | 0.857810 | − | 0.513968i | \(-0.171825\pi\) |
0.630290 | + | 0.776360i | \(0.282936\pi\) | |||||||
\(390\) | −7.37487 | + | 0.868697i | −0.373441 | + | 0.0439882i | ||||
\(391\) | −3.71682 | − | 4.42954i | −0.187968 | − | 0.224011i | ||||
\(392\) | 13.7711 | + | 14.2253i | 0.695543 | + | 0.718484i | ||||
\(393\) | −27.7351 | − | 2.25141i | −1.39905 | − | 0.113568i | ||||
\(394\) | −18.5363 | − | 10.1236i | −0.933844 | − | 0.510019i | ||||
\(395\) | 22.4663 | 1.13040 | ||||||||
\(396\) | −0.0839249 | − | 0.00965702i | −0.00421739 | − | 0.000485284i | ||||
\(397\) | −11.2167 | −0.562951 | −0.281476 | − | 0.959568i | \(-0.590824\pi\) | ||||
−0.281476 | + | 0.959568i | \(0.590824\pi\) | |||||||
\(398\) | 0.262558 | + | 11.0689i | 0.0131608 | + | 0.554831i | ||||
\(399\) | 6.56919 | + | 17.7054i | 0.328871 | + | 0.886380i | ||||
\(400\) | −10.2665 | + | 4.88263i | −0.513324 | + | 0.244132i | ||||
\(401\) | −15.4507 | − | 18.4134i | −0.771569 | − | 0.919520i | 0.226951 | − | 0.973906i | \(-0.427124\pi\) |
−0.998520 | + | 0.0543860i | \(0.982680\pi\) | |||||||
\(402\) | −12.8573 | − | 8.43988i | −0.641263 | − | 0.420943i | ||||
\(403\) | −1.06467 | − | 2.92516i | −0.0530351 | − | 0.145713i | ||||
\(404\) | −19.2941 | + | 25.3433i | −0.959917 | + | 1.26088i | ||||
\(405\) | 12.9583 | − | 2.62149i | 0.643903 | − | 0.130263i | ||||
\(406\) | −5.92259 | − | 11.9541i | −0.293933 | − | 0.593272i | ||||
\(407\) | −0.0214549 | − | 0.0180028i | −0.00106348 | − | 0.000892365i | ||||
\(408\) | 7.31216 | − | 8.54200i | 0.362006 | − | 0.422892i | ||||
\(409\) | 33.1563 | + | 12.0679i | 1.63947 | + | 0.596719i | 0.986947 | − | 0.161048i | \(-0.0514875\pi\) |
0.652525 | + | 0.757767i | \(0.273710\pi\) | |||||||
\(410\) | −2.36943 | − | 1.89428i | −0.117018 | − | 0.0935520i | ||||
\(411\) | 6.03809 | − | 13.1635i | 0.297837 | − | 0.649309i | ||||
\(412\) | 14.8286 | − | 3.34658i | 0.730555 | − | 0.164874i | ||||
\(413\) | 4.39070 | + | 16.3897i | 0.216052 | + | 0.806486i | ||||
\(414\) | −7.16267 | − | 7.93344i | −0.352026 | − | 0.389907i | ||||
\(415\) | 21.4447 | + | 12.3811i | 1.05268 | + | 0.607764i | ||||
\(416\) | −7.99248 | + | 8.50937i | −0.391863 | + | 0.417206i | ||||
\(417\) | −11.9748 | − | 8.27343i | −0.586406 | − | 0.405152i | ||||
\(418\) | −0.0811253 | − | 0.0123287i | −0.00396797 | − | 0.000603016i | ||||
\(419\) | 18.8532 | − | 15.8197i | 0.921037 | − | 0.772842i | −0.0531496 | − | 0.998587i | \(-0.516926\pi\) |
0.974186 | + | 0.225745i | \(0.0724816\pi\) | |||||||
\(420\) | 11.2819 | − | 7.34725i | 0.550501 | − | 0.358509i | ||||
\(421\) | −1.18052 | + | 0.429673i | −0.0575349 | + | 0.0209410i | −0.370627 | − | 0.928782i | \(-0.620857\pi\) |
0.313092 | + | 0.949723i | \(0.398635\pi\) | |||||||
\(422\) | 9.13686 | − | 27.0852i | 0.444776 | − | 1.31849i | ||||
\(423\) | 4.99495 | + | 13.2060i | 0.242863 | + | 0.642096i | ||||
\(424\) | 28.8904 | + | 14.0431i | 1.40304 | + | 0.681992i | ||||
\(425\) | 2.23109 | + | 6.12986i | 0.108224 | + | 0.297342i | ||||
\(426\) | −1.51071 | + | 6.39975i | −0.0731943 | + | 0.310069i | ||||
\(427\) | −3.11592 | + | 35.5939i | −0.150790 | + | 1.72251i | ||||
\(428\) | −15.1647 | − | 23.6055i | −0.733015 | − | 1.14101i | ||||
\(429\) | 0.0127209 | − | 0.0486941i | 0.000614172 | − | 0.00235097i | ||||
\(430\) | 1.78239 | + | 2.92474i | 0.0859542 | + | 0.141043i | ||||
\(431\) | 5.59958 | − | 9.69877i | 0.269723 | − | 0.467173i | −0.699068 | − | 0.715056i | \(-0.746401\pi\) |
0.968790 | + | 0.247882i | \(0.0797347\pi\) | |||||||
\(432\) | 12.9351 | − | 16.2691i | 0.622340 | − | 0.782747i | ||||
\(433\) | −2.01067 | −0.0966267 | −0.0483133 | − | 0.998832i | \(-0.515385\pi\) | ||||
−0.0483133 | + | 0.998832i | \(0.515385\pi\) | |||||||
\(434\) | 4.08409 | + | 3.89523i | 0.196043 | + | 0.186977i | ||||
\(435\) | −8.74782 | + | 2.40285i | −0.419426 | + | 0.115208i | ||||
\(436\) | −5.74663 | + | 11.1423i | −0.275214 | + | 0.533620i | ||||
\(437\) | −6.67344 | − | 7.95310i | −0.319234 | − | 0.380448i | ||||
\(438\) | −0.609271 | + | 2.58102i | −0.0291121 | + | 0.123326i | ||||
\(439\) | −0.994634 | − | 2.73274i | −0.0474713 | − | 0.130426i | 0.913691 | − | 0.406409i | \(-0.133219\pi\) |
−0.961163 | + | 0.275982i | \(0.910997\pi\) | |||||||
\(440\) | 0.00415865 | + | 0.0583521i | 0.000198256 | + | 0.00278183i | ||||
\(441\) | 15.9179 | − | 13.6975i | 0.757993 | − | 0.652263i | ||||
\(442\) | 4.42637 | + | 5.02801i | 0.210541 | + | 0.239158i | ||||
\(443\) | 26.5761 | + | 22.3000i | 1.26267 | + | 1.05950i | 0.995393 | + | 0.0958831i | \(0.0305675\pi\) |
0.267275 | + | 0.963620i | \(0.413877\pi\) | |||||||
\(444\) | 6.55064 | − | 2.13815i | 0.310880 | − | 0.101472i | ||||
\(445\) | −1.60955 | − | 9.12822i | −0.0763000 | − | 0.432719i | ||||
\(446\) | −0.325231 | − | 0.0494257i | −0.0154001 | − | 0.00234037i | ||||
\(447\) | −24.5373 | + | 11.6298i | −1.16058 | + | 0.550069i | ||||
\(448\) | 6.13534 | − | 20.2573i | 0.289867 | − | 0.957067i | ||||
\(449\) | 3.34104 | − | 1.92895i | 0.157673 | − | 0.0910327i | −0.419087 | − | 0.907946i | \(-0.637650\pi\) |
0.576761 | + | 0.816913i | \(0.304317\pi\) | |||||||
\(450\) | 4.53207 | + | 11.1739i | 0.213644 | + | 0.526743i | ||||
\(451\) | 0.0178053 | − | 0.0102799i | 0.000838420 | − | 0.000484062i | ||||
\(452\) | 5.46260 | − | 17.5574i | 0.256939 | − | 0.825832i | ||||
\(453\) | 10.8060 | + | 15.2285i | 0.507711 | + | 0.715498i | ||||
\(454\) | 2.16811 | − | 14.2666i | 0.101754 | − | 0.669564i | ||||
\(455\) | 3.38938 | + | 7.26953i | 0.158897 | + | 0.340801i | ||||
\(456\) | 13.1288 | − | 15.3369i | 0.614811 | − | 0.718216i | ||||
\(457\) | 1.64684 | − | 9.33971i | 0.0770361 | − | 0.436893i | −0.921757 | − | 0.387769i | \(-0.873246\pi\) |
0.998793 | − | 0.0491244i | \(-0.0156431\pi\) | |||||||
\(458\) | 17.6894 | + | 5.96731i | 0.826573 | + | 0.278834i | ||||
\(459\) | −8.59029 | − | 8.27312i | −0.400961 | − | 0.386156i | ||||
\(460\) | −4.48346 | + | 5.88915i | −0.209042 | + | 0.274583i | ||||
\(461\) | −13.2333 | + | 15.7709i | −0.616338 | + | 0.734523i | −0.980436 | − | 0.196838i | \(-0.936933\pi\) |
0.364098 | + | 0.931361i | \(0.381377\pi\) | |||||||
\(462\) | 0.0185273 | + | 0.0893467i | 0.000861966 | + | 0.00415679i | ||||
\(463\) | −33.1622 | + | 5.84739i | −1.54118 | + | 0.271751i | −0.878717 | − | 0.477344i | \(-0.841600\pi\) |
−0.662462 | + | 0.749095i | \(0.730489\pi\) | |||||||
\(464\) | −8.09132 | + | 11.7445i | −0.375630 | + | 0.545225i | ||||
\(465\) | 3.12990 | − | 2.22095i | 0.145146 | − | 0.102994i | ||||
\(466\) | −7.89036 | − | 4.30932i | −0.365514 | − | 0.199625i | ||||
\(467\) | 17.7935 | 0.823385 | 0.411692 | − | 0.911323i | \(-0.364938\pi\) | ||||
0.411692 | + | 0.911323i | \(0.364938\pi\) | |||||||
\(468\) | 8.51348 | + | 8.99143i | 0.393536 | + | 0.415629i | ||||
\(469\) | −4.30038 | + | 16.0459i | −0.198573 | + | 0.740932i | ||||
\(470\) | 8.34898 | − | 5.08801i | 0.385110 | − | 0.234692i | ||||
\(471\) | −28.3365 | − | 2.30022i | −1.30568 | − | 0.105989i | ||||
\(472\) | 13.0314 | − | 12.6179i | 0.599819 | − | 0.580788i | ||||
\(473\) | −0.0228604 | + | 0.00403091i | −0.00105112 | + | 0.000185342i | ||||
\(474\) | −22.3977 | − | 30.0291i | −1.02876 | − | 1.37928i | ||||
\(475\) | 4.00585 | + | 11.0060i | 0.183801 | + | 0.504989i | ||||
\(476\) | −11.2380 | − | 4.60569i | −0.515094 | − | 0.211101i | ||||
\(477\) | 16.6643 | − | 29.7178i | 0.763007 | − | 1.36068i | ||||
\(478\) | 1.29627 | + | 6.45272i | 0.0592900 | + | 0.295140i | ||||
\(479\) | −0.672399 | − | 0.564210i | −0.0307227 | − | 0.0257794i | 0.627297 | − | 0.778780i | \(-0.284161\pi\) |
−0.658020 | + | 0.753001i | \(0.728606\pi\) | |||||||
\(480\) | −12.7263 | − | 6.72308i | −0.580873 | − | 0.306865i | ||||
\(481\) | 0.712856 | + | 4.04281i | 0.0325035 | + | 0.184336i | ||||
\(482\) | 18.0802 | − | 7.07056i | 0.823530 | − | 0.322055i | ||||
\(483\) | −5.71016 | + | 10.0338i | −0.259821 | + | 0.456555i | ||||
\(484\) | 21.0064 | + | 6.53566i | 0.954835 | + | 0.297075i | ||||
\(485\) | −10.6095 | + | 6.12538i | −0.481751 | + | 0.278139i | ||||
\(486\) | −16.4227 | − | 14.7070i | −0.744949 | − | 0.667122i | ||||
\(487\) | 8.46367 | + | 4.88651i | 0.383526 | + | 0.221429i | 0.679351 | − | 0.733813i | \(-0.262261\pi\) |
−0.295825 | + | 0.955242i | \(0.595595\pi\) | |||||||
\(488\) | 34.8740 | − | 15.5827i | 1.57867 | − | 0.705396i | ||||
\(489\) | 25.6065 | + | 6.68949i | 1.15797 | + | 0.302509i | ||||
\(490\) | −11.3575 | − | 9.08189i | −0.513081 | − | 0.410278i | ||||
\(491\) | 3.82043 | + | 1.39052i | 0.172414 | + | 0.0627535i | 0.426785 | − | 0.904353i | \(-0.359646\pi\) |
−0.254371 | + | 0.967107i | \(0.581868\pi\) | |||||||
\(492\) | −0.169757 | + | 5.05556i | −0.00765326 | + | 0.227922i | ||||
\(493\) | 6.26899 | + | 5.26031i | 0.282341 | + | 0.236912i | ||||
\(494\) | 7.94742 | + | 9.02764i | 0.357571 | + | 0.406173i | ||||
\(495\) | 0.0620439 | 0.000777915i | 0.00278866 | 3.49647e-5i | ||||||
\(496\) | 1.51726 | − | 5.83960i | 0.0681271 | − | 0.262206i | ||||
\(497\) | 7.07551 | − | 0.618657i | 0.317380 | − | 0.0277506i | ||||
\(498\) | −4.83026 | − | 41.0069i | −0.216449 | − | 1.83756i | ||||
\(499\) | −12.1489 | + | 33.3788i | −0.543859 | + | 1.49424i | 0.298013 | + | 0.954562i | \(0.403676\pi\) |
−0.841872 | + | 0.539678i | \(0.818546\pi\) | |||||||
\(500\) | 19.3844 | − | 12.4530i | 0.866895 | − | 0.556914i | ||||
\(501\) | −1.85314 | − | 3.90990i | −0.0827923 | − | 0.174681i | ||||
\(502\) | −9.00826 | + | 16.4941i | −0.402058 | + | 0.736168i | ||||
\(503\) | 0.978093 | + | 1.69411i | 0.0436110 | + | 0.0755365i | 0.887007 | − | 0.461756i | \(-0.152780\pi\) |
−0.843396 | + | 0.537293i | \(0.819447\pi\) | |||||||
\(504\) | −21.0680 | − | 7.75492i | −0.938444 | − | 0.345432i | ||||
\(505\) | 11.6974 | − | 20.2606i | 0.520530 | − | 0.901584i | ||||
\(506\) | −0.0261050 | − | 0.0428361i | −0.00116051 | − | 0.00190430i | ||||
\(507\) | 12.3471 | − | 8.76140i | 0.548355 | − | 0.389108i | ||||
\(508\) | −3.23103 | − | 1.66640i | −0.143354 | − | 0.0739345i | ||||
\(509\) | 16.6573 | + | 19.8514i | 0.738321 | + | 0.879896i | 0.996273 | − | 0.0862615i | \(-0.0274921\pi\) |
−0.257952 | + | 0.966158i | \(0.583048\pi\) | |||||||
\(510\) | −4.53210 | + | 6.90418i | −0.200685 | + | 0.305722i | ||||
\(511\) | 2.85355 | − | 0.249505i | 0.126234 | − | 0.0110374i | ||||
\(512\) | −22.1139 | + | 4.79309i | −0.977307 | + | 0.211827i | ||||
\(513\) | −15.4236 | − | 14.8541i | −0.680969 | − | 0.655826i | ||||
\(514\) | −10.5138 | + | 31.1669i | −0.463743 | + | 1.37471i | ||||
\(515\) | −10.4921 | + | 3.81879i | −0.462335 | + | 0.168276i | ||||
\(516\) | 2.13235 | − | 5.29820i | 0.0938716 | − | 0.233240i | ||||
\(517\) | 0.0115067 | + | 0.0652576i | 0.000506063 | + | 0.00287002i | ||||
\(518\) | −4.41212 | − | 5.99412i | −0.193857 | − | 0.263366i | ||||
\(519\) | 4.40034 | − | 0.412792i | 0.193154 | − | 0.0181195i | ||||
\(520\) | 5.03079 | − | 6.94375i | 0.220615 | − | 0.304504i | ||||
\(521\) | −25.4075 | + | 14.6690i | −1.11312 | + | 0.642661i | −0.939636 | − | 0.342176i | \(-0.888836\pi\) |
−0.173485 | + | 0.984837i | \(0.555503\pi\) | |||||||
\(522\) | 11.9328 | + | 9.29709i | 0.522286 | + | 0.406923i | ||||
\(523\) | −17.1690 | − | 9.91255i | −0.750750 | − | 0.433446i | 0.0752150 | − | 0.997167i | \(-0.476036\pi\) |
−0.825965 | + | 0.563722i | \(0.809369\pi\) | |||||||
\(524\) | 23.6069 | − | 21.7973i | 1.03127 | − | 0.952219i | ||||
\(525\) | 9.92483 | − | 8.43362i | 0.433155 | − | 0.368073i | ||||
\(526\) | 14.1267 | + | 11.2938i | 0.615951 | + | 0.492433i | ||||
\(527\) | −3.25327 | − | 1.18409i | −0.141715 | − | 0.0515799i | ||||
\(528\) | 0.0738492 | − | 0.0637325i | 0.00321387 | − | 0.00277360i | ||||
\(529\) | −2.89179 | + | 16.4002i | −0.125730 | + | 0.713050i | ||||
\(530\) | −22.3560 | − | 7.54150i | −0.971081 | − | 0.327582i | ||||
\(531\) | −12.5507 | − | 14.5821i | −0.544655 | − | 0.632810i | ||||
\(532\) | −20.1775 | − | 8.26937i | −0.874807 | − | 0.358523i | ||||
\(533\) | −2.96777 | − | 0.523298i | −0.128548 | − | 0.0226665i | ||||
\(534\) | −10.5964 | + | 11.2517i | −0.458552 | + | 0.486909i | ||||
\(535\) | 13.2462 | + | 15.7862i | 0.572684 | + | 0.682499i | ||||
\(536\) | 17.2259 | − | 4.31933i | 0.744046 | − | 0.186567i | ||||
\(537\) | 6.96096 | + | 6.87423i | 0.300388 | + | 0.296645i | ||||
\(538\) | −3.11532 | − | 1.70143i | −0.134311 | − | 0.0733539i | ||||
\(539\) | 0.0853593 | − | 0.0492704i | 0.00367668 | − | 0.00212223i | ||||
\(540\) | −7.90934 | + | 13.0574i | −0.340364 | + | 0.561901i | ||||
\(541\) | 10.8950 | + | 18.8706i | 0.468411 | + | 0.811311i | 0.999348 | − | 0.0360999i | \(-0.0114934\pi\) |
−0.530938 | + | 0.847411i | \(0.678160\pi\) | |||||||
\(542\) | −1.65485 | + | 1.00849i | −0.0710818 | + | 0.0433184i | ||||
\(543\) | −32.1253 | + | 8.82415i | −1.37863 | + | 0.378681i | ||||
\(544\) | 1.53601 | + | 12.8926i | 0.0658557 | + | 0.552765i | ||||
\(545\) | 3.14941 | − | 8.65293i | 0.134906 | − | 0.370651i | ||||
\(546\) | 6.33764 | − | 11.7777i | 0.271226 | − | 0.504038i | ||||
\(547\) | 27.4910 | + | 4.84741i | 1.17543 | + | 0.207260i | 0.727051 | − | 0.686583i | \(-0.240890\pi\) |
0.448379 | + | 0.893843i | \(0.352001\pi\) | |||||||
\(548\) | 6.45815 | + | 15.4254i | 0.275879 | + | 0.658939i | ||||
\(549\) | −14.3328 | − | 37.8941i | −0.611711 | − | 1.61728i | ||||
\(550\) | 0.0111458 | + | 0.0554830i | 0.000475260 | + | 0.00236580i | ||||
\(551\) | 11.2558 | + | 9.44473i | 0.479513 | + | 0.402359i | ||||
\(552\) | 12.3414 | + | 0.121564i | 0.525284 | + | 0.00517412i | ||||
\(553\) | −23.2107 | + | 33.1447i | −0.987020 | + | 1.40946i | ||||
\(554\) | 19.6729 | + | 15.7278i | 0.835820 | + | 0.668211i | ||||
\(555\) | −4.57350 | + | 2.16766i | −0.194134 | + | 0.0920122i | ||||
\(556\) | 16.3942 | − | 3.69990i | 0.695269 | − | 0.156911i | ||||
\(557\) | − | 36.0423i | − | 1.52716i | −0.645712 | − | 0.763581i | \(-0.723439\pi\) | ||
0.645712 | − | 0.763581i | \(-0.276561\pi\) | |||||||
\(558\) | −6.08893 | − | 1.96935i | −0.257765 | − | 0.0833693i | ||||
\(559\) | 2.94661 | + | 1.70123i | 0.124628 | + | 0.0719543i | ||||
\(560\) | −2.58397 | + | 15.3300i | −0.109193 | + | 0.647809i | ||||
\(561\) | −0.0323918 | − | 0.0456486i | −0.00136758 | − | 0.00192729i | ||||
\(562\) | −12.8700 | − | 32.9099i | −0.542888 | − | 1.38822i | ||||
\(563\) | −15.1265 | − | 5.50559i | −0.637505 | − | 0.232033i | 0.00298946 | − | 0.999996i | \(-0.499048\pi\) |
−0.640495 | + | 0.767963i | \(0.721271\pi\) | |||||||
\(564\) | −15.1243 | − | 6.08703i | −0.636847 | − | 0.256310i | ||||
\(565\) | −2.34520 | + | 13.3003i | −0.0986635 | + | 0.559548i | ||||
\(566\) | 22.2215 | − | 4.46403i | 0.934040 | − | 0.187637i | ||||
\(567\) | −9.52017 | + | 21.8258i | −0.399810 | + | 0.916598i | ||||
\(568\) | −4.25429 | − | 6.28912i | −0.178506 | − | 0.263886i | ||||
\(569\) | −4.38145 | − | 0.772568i | −0.183680 | − | 0.0323877i | 0.0810514 | − | 0.996710i | \(-0.474172\pi\) |
−0.264731 | + | 0.964322i | \(0.585283\pi\) | |||||||
\(570\) | −8.13724 | + | 12.3963i | −0.340832 | + | 0.519222i | ||||
\(571\) | 3.77568 | − | 10.3736i | 0.158007 | − | 0.434122i | −0.835276 | − | 0.549831i | \(-0.814692\pi\) |
0.993283 | + | 0.115709i | \(0.0369142\pi\) | |||||||
\(572\) | 0.0314107 | + | 0.0488940i | 0.00131335 | + | 0.00204436i | ||||
\(573\) | −22.4851 | + | 15.9552i | −0.939329 | + | 0.666539i | ||||
\(574\) | 5.24259 | − | 1.53859i | 0.218822 | − | 0.0642196i | ||||
\(575\) | −3.58005 | + | 6.20082i | −0.149298 | + | 0.258592i | ||||
\(576\) | 3.70117 | + | 23.7129i | 0.154215 | + | 0.988037i | ||||
\(577\) | 12.0318 | 0.500891 | 0.250445 | − | 0.968131i | \(-0.419423\pi\) | ||||
0.250445 | + | 0.968131i | \(0.419423\pi\) | |||||||
\(578\) | −16.5868 | + | 0.393446i | −0.689920 | + | 0.0163652i | ||||
\(579\) | −20.0339 | − | 42.2690i | −0.832581 | − | 1.75664i | ||||
\(580\) | 4.80160 | − | 9.30996i | 0.199376 | − | 0.386575i | ||||
\(581\) | −40.4212 | + | 18.8461i | −1.67695 | + | 0.781870i | ||||
\(582\) | 18.7644 | + | 8.07426i | 0.777811 | + | 0.334689i | ||||
\(583\) | 0.102785 | − | 0.122494i | 0.00425692 | − | 0.00507319i | ||||
\(584\) | −1.71576 | − | 2.53640i | −0.0709985 | − | 0.104957i | ||||
\(585\) | −7.03975 | − | 5.75821i | −0.291058 | − | 0.238073i | ||||
\(586\) | 17.4704 | − | 3.50958i | 0.721694 | − | 0.144979i | ||||
\(587\) | −1.78020 | + | 10.0960i | −0.0734766 | + | 0.416707i | 0.925777 | + | 0.378071i | \(0.123412\pi\) |
−0.999253 | + | 0.0386359i | \(0.987699\pi\) | |||||||
\(588\) | −0.816285 | + | 24.2350i | −0.0336630 | + | 0.999433i | ||||
\(589\) | −5.84115 | − | 2.12600i | −0.240680 | − | 0.0876005i | ||||
\(590\) | −8.31946 | + | 10.4063i | −0.342507 | + | 0.428419i | ||||
\(591\) | −6.85146 | − | 24.9435i | −0.281832 | − | 1.02604i | ||||
\(592\) | −3.30779 | + | 7.23661i | −0.135949 | + | 0.297423i | ||||
\(593\) | 4.49719 | − | 2.59645i | 0.184677 | − | 0.106623i | −0.404811 | − | 0.914400i | \(-0.632663\pi\) |
0.589488 | + | 0.807777i | \(0.299329\pi\) | |||||||
\(594\) | −0.0628942 | − | 0.0821541i | −0.00258058 | − | 0.00337083i | ||||
\(595\) | 8.61644 | + | 2.30925i | 0.353239 | + | 0.0946698i | ||||
\(596\) | 9.31484 | − | 29.9390i | 0.381551 | − | 1.22635i | ||||
\(597\) | −9.52831 | + | 9.64852i | −0.389968 | + | 0.394888i | ||||
\(598\) | −1.10472 | + | 7.26928i | −0.0451754 | + | 0.297263i | ||||
\(599\) | −7.79658 | + | 6.54211i | −0.318560 | + | 0.267303i | −0.788019 | − | 0.615651i | \(-0.788893\pi\) |
0.469459 | + | 0.882954i | \(0.344449\pi\) | |||||||
\(600\) | −13.0362 | − | 4.89072i | −0.532200 | − | 0.199663i | ||||
\(601\) | 2.98466 | − | 16.9268i | 0.121747 | − | 0.690460i | −0.861440 | − | 0.507859i | \(-0.830437\pi\) |
0.983187 | − | 0.182601i | \(-0.0584517\pi\) | |||||||
\(602\) | −6.15633 | − | 0.392086i | −0.250913 | − | 0.0159802i | ||||
\(603\) | −3.50323 | − | 18.5078i | −0.142663 | − | 0.753697i | ||||
\(604\) | −21.3877 | − | 2.73313i | −0.870253 | − | 0.111210i | ||||
\(605\) | −15.9130 | − | 2.80589i | −0.646955 | − | 0.114076i | ||||
\(606\) | −38.7426 | + | 4.56355i | −1.57381 | + | 0.185382i | ||||
\(607\) | 12.7355 | − | 34.9905i | 0.516918 | − | 1.42022i | −0.356980 | − | 0.934112i | \(-0.616194\pi\) |
0.873898 | − | 0.486109i | \(-0.161584\pi\) | |||||||
\(608\) | 2.75785 | + | 23.1482i | 0.111846 | + | 0.938785i | ||||
\(609\) | 5.49274 | − | 15.3882i | 0.222577 | − | 0.623561i | ||||
\(610\) | −23.9571 | + | 14.5999i | −0.969996 | + | 0.591132i | ||||
\(611\) | 4.85634 | − | 8.41142i | 0.196466 | − | 0.340290i | ||||
\(612\) | 13.7466 | − | 0.825365i | 0.555673 | − | 0.0333634i | ||||
\(613\) | −12.2229 | − | 21.1707i | −0.493678 | − | 0.855075i | 0.506296 | − | 0.862360i | \(-0.331015\pi\) |
−0.999973 | + | 0.00728476i | \(0.997681\pi\) | |||||||
\(614\) | −4.15861 | + | 2.53432i | −0.167828 | + | 0.102277i | ||||
\(615\) | −0.347009 | − | 3.69910i | −0.0139928 | − | 0.149162i | ||||
\(616\) | −0.0903837 | − | 0.0541503i | −0.00364166 | − | 0.00218178i | ||||
\(617\) | 7.81316 | − | 1.37767i | 0.314546 | − | 0.0554630i | −0.0141465 | − | 0.999900i | \(-0.504503\pi\) |
0.328693 | + | 0.944437i | \(0.393392\pi\) | |||||||
\(618\) | 15.5643 | + | 10.2169i | 0.626089 | + | 0.410982i | ||||
\(619\) | 10.8286 | + | 29.7514i | 0.435240 | + | 1.19581i | 0.942555 | + | 0.334051i | \(0.108416\pi\) |
−0.507315 | + | 0.861760i | \(0.669362\pi\) | |||||||
\(620\) | −0.561738 | + | 4.39579i | −0.0225599 | + | 0.176539i | ||||
\(621\) | 0.895488 | − | 13.0600i | 0.0359347 | − | 0.524079i | ||||
\(622\) | 8.39149 | + | 41.7721i | 0.336468 | + | 1.67491i | ||||
\(623\) | 15.1298 | + | 7.05609i | 0.606163 | + | 0.282696i | ||||
\(624\) | −14.2967 | + | 0.198252i | −0.572324 | + | 0.00793644i | ||||
\(625\) | −2.07748 | + | 1.74321i | −0.0830991 | + | 0.0697285i | ||||
\(626\) | 26.6988 | + | 21.3448i | 1.06710 | + | 0.853110i | ||||
\(627\) | −0.0581586 | − | 0.0819607i | −0.00232263 | − | 0.00327319i | ||||
\(628\) | 24.1188 | − | 22.2699i | 0.962444 | − | 0.888667i | ||||
\(629\) | 3.95396 | + | 2.28282i | 0.157655 | + | 0.0910220i | ||||
\(630\) | 16.0714 | + | 3.68846i | 0.640301 | + | 0.146952i | ||||
\(631\) | −0.620013 | + | 0.357965i | −0.0246823 | + | 0.0142504i | −0.512290 | − | 0.858812i | \(-0.671203\pi\) |
0.487608 | + | 0.873063i | \(0.337870\pi\) | |||||||
\(632\) | 43.0265 | + | 4.46421i | 1.71150 | + | 0.177577i | ||||
\(633\) | 31.6357 | − | 14.9941i | 1.25740 | − | 0.595962i | ||||
\(634\) | 9.19727 | + | 23.5184i | 0.365270 | + | 0.934035i | ||||
\(635\) | 2.50916 | + | 0.913261i | 0.0995731 | + | 0.0362416i | ||||
\(636\) | 12.2075 | + | 37.4001i | 0.484059 | + | 1.48301i | ||||
\(637\) | −14.2265 | − | 2.51003i | −0.563673 | − | 0.0994510i | ||||
\(638\) | 0.0469118 | + | 0.0532881i | 0.00185725 | + | 0.00210970i | ||||
\(639\) | −6.92349 | + | 4.11386i | −0.273889 | + | 0.162742i | ||||
\(640\) | 15.6652 | − | 5.55096i | 0.619221 | − | 0.219421i | ||||
\(641\) | 12.5158 | − | 14.9157i | 0.494343 | − | 0.589136i | −0.459973 | − | 0.887933i | \(-0.652141\pi\) |
0.954317 | + | 0.298797i | \(0.0965854\pi\) | |||||||
\(642\) | 7.89458 | − | 33.4433i | 0.311574 | − | 1.31990i | ||||
\(643\) | 8.30696 | − | 22.8232i | 0.327595 | − | 0.900059i | −0.661124 | − | 0.750276i | \(-0.729920\pi\) |
0.988719 | − | 0.149782i | \(-0.0478573\pi\) | |||||||
\(644\) | −4.05628 | − | 12.6988i | −0.159840 | − | 0.500401i | ||||
\(645\) | −1.06028 | + | 4.05861i | −0.0417484 | + | 0.159808i | ||||
\(646\) | 13.3728 | − | 0.317208i | 0.526145 | − | 0.0124804i | ||||
\(647\) | −2.58052 | + | 4.46959i | −0.101451 | + | 0.175718i | −0.912282 | − | 0.409562i | \(-0.865682\pi\) |
0.810832 | + | 0.585279i | \(0.199015\pi\) | |||||||
\(648\) | 25.3381 | − | 2.44566i | 0.995374 | − | 0.0960745i | ||||
\(649\) | −0.0451481 | − | 0.0781987i | −0.00177222 | − | 0.00306957i | ||||
\(650\) | 3.97592 | − | 7.27991i | 0.155949 | − | 0.285541i | ||||
\(651\) | 0.0429727 | + | 6.91210i | 0.00168423 | + | 0.270907i | ||||
\(652\) | −25.7116 | + | 16.5178i | −1.00695 | + | 0.646886i | ||||
\(653\) | −28.1983 | + | 4.97212i | −1.10349 | + | 0.194574i | −0.695579 | − | 0.718450i | \(-0.744852\pi\) |
−0.407906 | + | 0.913024i | \(0.633741\pi\) | |||||||
\(654\) | −14.7056 | + | 4.41691i | −0.575033 | + | 0.172715i | ||||
\(655\) | −15.1698 | + | 18.0786i | −0.592731 | + | 0.706390i | ||||
\(656\) | −4.16143 | − | 4.09867i | −0.162477 | − | 0.160026i | ||||
\(657\) | −2.79224 | + | 1.65912i | −0.108936 | + | 0.0647285i | ||||
\(658\) | −1.11925 | + | 17.5739i | −0.0436329 | + | 0.685102i | ||||
\(659\) | 38.1436 | − | 13.8831i | 1.48587 | − | 0.540811i | 0.533508 | − | 0.845795i | \(-0.320874\pi\) |
0.952357 | + | 0.304985i | \(0.0986513\pi\) | |||||||
\(660\) | −0.0478702 | + | 0.0533089i | −0.00186335 | + | 0.00207504i | ||||
\(661\) | 3.19929 | + | 18.1441i | 0.124438 | + | 0.705724i | 0.981640 | + | 0.190743i | \(0.0610898\pi\) |
−0.857202 | + | 0.514981i | \(0.827799\pi\) | |||||||
\(662\) | 14.7708 | + | 37.7705i | 0.574084 | + | 1.46799i | ||||
\(663\) | −0.663803 | + | 8.17740i | −0.0257800 | + | 0.317584i | ||||
\(664\) | 38.6097 | + | 27.9729i | 1.49835 | + | 1.08556i | ||||
\(665\) | 15.4705 | + | 4.14618i | 0.599922 | + | 0.160782i | ||||
\(666\) | 7.45689 | + | 3.95203i | 0.288949 | + | 0.153138i | ||||
\(667\) | 8.98251i | 0.347804i | ||||||||
\(668\) | 4.77062 | + | 1.48427i | 0.184581 | + | 0.0574282i | ||||
\(669\) | −0.233158 | − | 0.328580i | −0.00901439 | − | 0.0127036i | ||||
\(670\) | −12.1480 | + | 4.75070i | −0.469320 | + | 0.183536i | ||||
\(671\) | −0.0330180 | − | 0.187255i | −0.00127465 | − | 0.00722888i | ||||
\(672\) | 23.0666 | − | 11.8293i | 0.889812 | − | 0.456327i | ||||
\(673\) | −11.9624 | − | 10.0377i | −0.461118 | − | 0.386924i | 0.382424 | − | 0.923987i | \(-0.375089\pi\) |
−0.843542 | + | 0.537063i | \(0.819534\pi\) | |||||||
\(674\) | 8.80238 | − | 7.74911i | 0.339055 | − | 0.298484i | ||||
\(675\) | −5.98842 | + | 13.4993i | −0.230495 | + | 0.519590i | ||||
\(676\) | −2.21599 | + | 17.3409i | −0.0852305 | + | 0.666958i | ||||
\(677\) | 43.7772 | + | 7.71910i | 1.68249 | + | 0.296669i | 0.931527 | − | 0.363672i | \(-0.118477\pi\) |
0.750966 | + | 0.660341i | \(0.229588\pi\) | |||||||
\(678\) | 20.1156 | − | 10.1250i | 0.772536 | − | 0.388849i | ||||
\(679\) | 1.92420 | − | 21.9806i | 0.0738439 | − | 0.843537i | ||||
\(680\) | −2.31942 | − | 9.25007i | −0.0889457 | − | 0.354724i | ||||
\(681\) | 14.4135 | − | 10.2277i | 0.552326 | − | 0.391926i | ||||
\(682\) | −0.0263594 | − | 0.0143962i | −0.00100935 | − | 0.000551259i | ||||
\(683\) | −4.39140 | − | 7.60612i | −0.168032 | − | 0.291040i | 0.769696 | − | 0.638411i | \(-0.220408\pi\) |
−0.937728 | + | 0.347371i | \(0.887075\pi\) | |||||||
\(684\) | 24.6816 | − | 1.48192i | 0.943724 | − | 0.0566626i | ||||
\(685\) | −6.14133 | − | 10.6371i | −0.234648 | − | 0.406423i | ||||
\(686\) | 25.1324 | − | 7.37301i | 0.959560 | − | 0.281503i | ||||
\(687\) | 9.79268 | + | 20.6613i | 0.373614 | + | 0.788279i | ||||
\(688\) | 2.83238 | + | 5.95551i | 0.107983 | + | 0.227052i | ||||
\(689\) | −23.0820 | + | 4.06997i | −0.879353 | + | 0.155054i | ||||
\(690\) | −9.00281 | + | 1.06045i | −0.342731 | + | 0.0403708i | ||||
\(691\) | 14.3809 | − | 17.1385i | 0.547077 | − | 0.651981i | −0.419682 | − | 0.907671i | \(-0.637858\pi\) |
0.966759 | + | 0.255690i | \(0.0823028\pi\) | |||||||
\(692\) | −3.09134 | + | 4.06056i | −0.117515 | + | 0.154359i | ||||
\(693\) | −0.0629520 | + | 0.0923374i | −0.00239135 | + | 0.00350761i | ||||
\(694\) | −21.8419 | − | 7.36808i | −0.829106 | − | 0.279689i | ||||
\(695\) | −11.5998 | + | 4.22197i | −0.440004 | + | 0.160148i | ||||
\(696\) | −17.2309 | + | 2.86357i | −0.653136 | + | 0.108544i | ||||
\(697\) | −2.56745 | + | 2.15435i | −0.0972492 | + | 0.0816018i | ||||
\(698\) | 36.1536 | + | 28.9036i | 1.36843 | + | 1.09402i | ||||
\(699\) | −2.91647 | − | 10.6177i | −0.110311 | − | 0.401599i | ||||
\(700\) | −0.599691 | + | 15.0270i | −0.0226662 | + | 0.567968i | ||||
\(701\) | 19.8222i | 0.748673i | 0.927293 | + | 0.374337i | \(0.122130\pi\) | ||||
−0.927293 | + | 0.374337i | \(0.877870\pi\) | |||||||
\(702\) | −0.678336 | + | 15.1502i | −0.0256021 | + | 0.571806i | ||||
\(703\) | 7.09921 | + | 4.09873i | 0.267752 | + | 0.154587i | ||||
\(704\) | −0.00363051 | + | 0.112580i | −0.000136830 | + | 0.00424301i | ||||
\(705\) | 11.5857 | + | 3.02668i | 0.436344 | + | 0.113991i | ||||
\(706\) | −14.1858 | − | 36.2746i | −0.533890 | − | 1.36521i | ||||
\(707\) | 17.8055 | + | 38.1892i | 0.669645 | + | 1.43625i | ||||
\(708\) | 22.2034 | + | 0.745553i | 0.834454 | + | 0.0280196i | ||||
\(709\) | 34.8423 | − | 12.6816i | 1.30853 | − | 0.476266i | 0.408764 | − | 0.912640i | \(-0.365960\pi\) |
0.899765 | + | 0.436374i | \(0.143738\pi\) | |||||||
\(710\) | 3.68506 | + | 4.18594i | 0.138298 | + | 0.157096i | ||||
\(711\) | 7.40013 | − | 45.2808i | 0.277526 | − | 1.69816i | ||||
\(712\) | −1.26870 | − | 17.8018i | −0.0475466 | − | 0.667150i | ||||
\(713\) | −1.29969 | − | 3.57087i | −0.0486738 | − | 0.133730i | ||||
\(714\) | −5.50352 | − | 13.8192i | −0.205964 | − | 0.517170i | ||||
\(715\) | −0.0274369 | − | 0.0326980i | −0.00102608 | − | 0.00122284i | ||||
\(716\) | −11.2839 | + | 0.535619i | −0.421699 | + | 0.0200170i | ||||
\(717\) | −4.58201 | + | 6.63189i | −0.171118 | + | 0.247672i | ||||
\(718\) | −11.5765 | + | 0.274600i | −0.432031 | + | 0.0102480i | ||||
\(719\) | −19.8290 | + | 34.3449i | −0.739498 | + | 1.28085i | 0.213223 | + | 0.977003i | \(0.431604\pi\) |
−0.952722 | + | 0.303845i | \(0.901730\pi\) | |||||||
\(720\) | −4.90429 | − | 16.9318i | −0.182772 | − | 0.631010i | ||||
\(721\) | 5.20581 | − | 19.4243i | 0.193874 | − | 0.723399i | ||||
\(722\) | −2.85209 | + | 0.0676527i | −0.106144 | + | 0.00251777i | ||||
\(723\) | 21.6115 | + | 9.91316i | 0.803741 | + | 0.368674i | ||||
\(724\) | 17.6333 | − | 34.1897i | 0.655335 | − | 1.27065i | ||||
\(725\) | 3.46585 | − | 9.52235i | 0.128718 | − | 0.353651i | ||||
\(726\) | 12.1140 | + | 24.0671i | 0.449591 | + | 0.893214i | ||||
\(727\) | 23.5837 | − | 28.1060i | 0.874672 | − | 1.04239i | −0.124071 | − | 0.992273i | \(-0.539595\pi\) |
0.998743 | − | 0.0501203i | \(-0.0159605\pi\) | |||||||
\(728\) | 5.04669 | + | 14.5958i | 0.187043 | + | 0.540956i | ||||
\(729\) | −1.01530 | − | 26.9809i | −0.0376036 | − | 0.999293i | ||||
\(730\) | 1.48619 | + | 1.68819i | 0.0550062 | + | 0.0624828i | ||||
\(731\) | 3.55589 | − | 1.29424i | 0.131519 | − | 0.0478691i | ||||
\(732\) | 43.3986 | + | 17.4665i | 1.60406 | + | 0.645582i | ||||
\(733\) | −29.9001 | + | 25.0892i | −1.10438 | + | 0.926689i | −0.997712 | − | 0.0676052i | \(-0.978464\pi\) |
−0.106673 | + | 0.994294i | \(0.534020\pi\) | |||||||
\(734\) | −24.9670 | − | 3.79426i | −0.921549 | − | 0.140049i | ||||
\(735\) | −1.66164 | − | 17.7327i | −0.0612904 | − | 0.654082i | ||||
\(736\) | −9.75674 | + | 10.3877i | −0.359638 | + | 0.382897i | ||||
\(737\) | − | 0.0884045i | − | 0.00325642i | ||||||
\(738\) | −4.59839 | + | 4.15163i | −0.169269 | + | 0.152824i | ||||
\(739\) | − | 43.5453i | − | 1.60184i | −0.598772 | − | 0.800920i | \(-0.704344\pi\) | ||
0.598772 | − | 0.800920i | \(-0.295656\pi\) | |||||||
\(740\) | 1.73619 | − | 5.58031i | 0.0638235 | − | 0.205136i | ||||
\(741\) | −1.19184 | + | 14.6823i | −0.0437833 | + | 0.539367i | ||||
\(742\) | 34.2227 | − | 25.1905i | 1.25636 | − | 0.924773i | ||||
\(743\) | −37.9621 | + | 31.8540i | −1.39269 | + | 1.16861i | −0.428457 | + | 0.903562i | \(0.640943\pi\) |
−0.964236 | + | 0.265046i | \(0.914613\pi\) | |||||||
\(744\) | 6.43557 | − | 3.63153i | 0.235939 | − | 0.133138i | ||||
\(745\) | −3.99905 | + | 22.6797i | −0.146514 | + | 0.830921i | ||||
\(746\) | −0.849651 | − | 4.22948i | −0.0311079 | − | 0.154852i | ||||
\(747\) | 32.0177 | − | 39.1435i | 1.17147 | − | 1.43219i | ||||
\(748\) | 0.0641112 | + | 0.00819276i | 0.00234414 | + | 0.000299557i | ||||
\(749\) | −36.9747 | + | 3.23293i | −1.35103 | + | 0.118129i | ||||
\(750\) | 27.4630 | + | 6.48288i | 1.00281 | + | 0.236721i | ||||
\(751\) | 37.9185 | − | 6.68605i | 1.38366 | − | 0.243977i | 0.568251 | − | 0.822855i | \(-0.307620\pi\) |
0.815414 | + | 0.578878i | \(0.196509\pi\) | |||||||
\(752\) | 17.0006 | − | 8.08534i | 0.619949 | − | 0.294842i | ||||
\(753\) | −22.1954 | + | 6.09663i | −0.808846 | + | 0.222173i | ||||
\(754\) | −0.246768 | − | 10.4032i | −0.00898677 | − | 0.378862i | ||||
\(755\) | 15.8368 | 0.576360 | ||||||||
\(756\) | −11.0922 | − | 25.1587i | −0.403421 | − | 0.915015i | ||||
\(757\) | 46.5028 | 1.69017 | 0.845086 | − | 0.534631i | \(-0.179549\pi\) | ||||
0.845086 | + | 0.534631i | \(0.179549\pi\) | |||||||
\(758\) | −0.994870 | − | 41.9415i | −0.0361353 | − | 1.52339i | ||||
\(759\) | 0.0155290 | − | 0.0594429i | 0.000563665 | − | 0.00215764i | ||||
\(760\) | −4.16445 | − | 16.6082i | −0.151060 | − | 0.602443i | ||||
\(761\) | 23.6742 | − | 4.17440i | 0.858189 | − | 0.151322i | 0.272796 | − | 0.962072i | \(-0.412051\pi\) |
0.585393 | + | 0.810750i | \(0.300940\pi\) | |||||||
\(762\) | −1.28081 | − | 4.26430i | −0.0463989 | − | 0.154479i | ||||
\(763\) | 9.51196 | + | 13.5860i | 0.344356 | + | 0.491846i | ||||
\(764\) | 4.03550 | − | 31.5792i | 0.145999 | − | 1.14250i | ||||
\(765\) | −9.93844 | + | 1.88118i | −0.359325 | + | 0.0680143i | ||||
\(766\) | 7.33170 | + | 36.4965i | 0.264905 | + | 1.31867i | ||||
\(767\) | −2.29826 | + | 13.0341i | −0.0829853 | + | 0.470633i | ||||
\(768\) | −23.0369 | − | 15.4045i | −0.831273 | − | 0.555864i | ||||
\(769\) | 10.1423 | − | 8.51041i | 0.365741 | − | 0.306893i | −0.441333 | − | 0.897343i | \(-0.645494\pi\) |
0.807074 | + | 0.590450i | \(0.201050\pi\) | |||||||
\(770\) | 0.0708919 | + | 0.0310370i | 0.00255477 | + | 0.00111850i | ||||
\(771\) | −36.4031 | + | 17.2537i | −1.31103 | + | 0.621376i | ||||
\(772\) | 51.5741 | + | 16.0461i | 1.85619 | + | 0.577513i | ||||
\(773\) | − | 45.5770i | − | 1.63929i | −0.572870 | − | 0.819646i | \(-0.694170\pi\) | ||
0.572870 | − | 0.819646i | \(-0.305830\pi\) | |||||||
\(774\) | 6.48190 | − | 2.62902i | 0.232987 | − | 0.0944981i | ||||
\(775\) | 4.28695i | 0.153992i | ||||||||
\(776\) | −21.5360 | + | 9.62289i | −0.773096 | + | 0.345442i | ||||
\(777\) | 1.52707 | − | 8.98679i | 0.0547833 | − | 0.322399i | ||||
\(778\) | −41.6689 | − | 6.33247i | −1.49390 | − | 0.227030i | ||||
\(779\) | −4.60978 | + | 3.86807i | −0.165163 | + | 0.138588i | ||||
\(780\) | 10.3976 | − | 1.47550i | 0.372293 | − | 0.0528315i | ||||
\(781\) | −0.0355177 | + | 0.0129274i | −0.00127092 | + | 0.000462578i | ||||
\(782\) | 5.40345 | + | 6.13790i | 0.193227 | + | 0.219491i | ||||
\(783\) | 1.96151 | + | 18.4227i | 0.0700985 | + | 0.658373i | ||||
\(784\) | −19.9468 | − | 19.6501i | −0.712386 | − | 0.701788i | ||||
\(785\) | −15.4987 | + | 18.4706i | −0.553172 | + | 0.659244i | ||||
\(786\) | 39.2879 | + | 2.25294i | 1.40135 | + | 0.0803598i | ||||
\(787\) | 13.4005 | − | 36.8175i | 0.477675 | − | 1.31240i | −0.433787 | − | 0.901016i | \(-0.642823\pi\) |
0.911462 | − | 0.411385i | \(-0.134955\pi\) | |||||||
\(788\) | 26.5464 | + | 13.6913i | 0.945675 | + | 0.487731i | ||||
\(789\) | 2.06888 | + | 22.0542i | 0.0736541 | + | 0.785150i | ||||
\(790\) | −31.7632 | + | 0.753437i | −1.13008 | + | 0.0268061i | ||||
\(791\) | −17.1991 | − | 17.2009i | −0.611530 | − | 0.611594i | ||||
\(792\) | 0.118978 | + | 0.0108387i | 0.00422771 | + | 0.000385137i | ||||
\(793\) | −13.9351 | + | 24.1363i | −0.494850 | + | 0.857106i | ||||
\(794\) | 15.8584 | − | 0.376167i | 0.562793 | − | 0.0133497i | ||||
\(795\) | −12.3760 | − | 26.1119i | −0.438932 | − | 0.926092i | ||||
\(796\) | −0.742417 | − | 15.6405i | −0.0263143 | − | 0.554363i | ||||
\(797\) | −6.19881 | − | 7.38745i | −0.219573 | − | 0.261677i | 0.645002 | − | 0.764181i | \(-0.276857\pi\) |
−0.864575 | + | 0.502504i | \(0.832412\pi\) | |||||||
\(798\) | −9.88140 | − | 24.8119i | −0.349798 | − | 0.878332i | ||||
\(799\) | −3.69454 | − | 10.1507i | −0.130703 | − | 0.359105i | ||||
\(800\) | 14.3512 | − | 7.24745i | 0.507390 | − | 0.256236i | ||||
\(801\) | −18.9281 | + | 0.237323i | −0.668790 | + | 0.00838539i | ||||
\(802\) | 22.4619 | + | 25.5150i | 0.793157 | + | 0.900965i | ||||
\(803\) | −0.0143243 | + | 0.00521361i | −0.000505493 | + | 0.000183984i | ||||
\(804\) | 18.4609 | + | 11.5013i | 0.651065 | + | 0.405618i | ||||
\(805\) | 4.13755 | + | 8.87421i | 0.145830 | + | 0.312775i | ||||
\(806\) | 1.60335 | + | 4.09994i | 0.0564756 | + | 0.144414i | ||||
\(807\) | −1.15150 | − | 4.19215i | −0.0405346 | − | 0.147571i | ||||
\(808\) | 26.4284 | − | 36.4778i | 0.929747 | − | 1.28329i | ||||
\(809\) | 23.6941 | + | 13.6798i | 0.833042 | + | 0.480957i | 0.854893 | − | 0.518804i | \(-0.173623\pi\) |
−0.0218513 | + | 0.999761i | \(0.506956\pi\) | |||||||
\(810\) | −18.2327 | + | 4.14088i | −0.640633 | + | 0.145496i | ||||
\(811\) | 15.0257i | 0.527624i | 0.964574 | + | 0.263812i | \(0.0849798\pi\) | ||||
−0.964574 | + | 0.263812i | \(0.915020\pi\) | |||||||
\(812\) | 8.77435 | + | 16.7023i | 0.307919 | + | 0.586135i | ||||
\(813\) | −2.29640 | − | 0.599916i | −0.0805383 | − | 0.0210400i | ||||
\(814\) | 0.0309370 | + | 0.0247331i | 0.00108434 | + | 0.000866895i | ||||
\(815\) | 17.1947 | − | 14.4281i | 0.602305 | − | 0.505394i | ||||
\(816\) | −10.0516 | + | 12.3220i | −0.351876 | + | 0.431357i | ||||
\(817\) | 6.38449 | − | 2.32376i | 0.223365 | − | 0.0812982i | ||||
\(818\) | −47.2816 | − | 15.9498i | −1.65316 | − | 0.557673i | ||||
\(819\) | 15.7681 | − | 4.43679i | 0.550983 | − | 0.155034i | ||||
\(820\) | 3.41347 | + | 2.59871i | 0.119204 | + | 0.0907508i | ||||
\(821\) | −22.3948 | + | 26.6891i | −0.781585 | + | 0.931457i | −0.999004 | − | 0.0446217i | \(-0.985792\pi\) |
0.217419 | + | 0.976078i | \(0.430236\pi\) | |||||||
\(822\) | −8.09529 | + | 18.8133i | −0.282356 | + | 0.656190i | ||||
\(823\) | −15.5550 | + | 2.74277i | −0.542214 | + | 0.0956069i | −0.438046 | − | 0.898953i | \(-0.644329\pi\) |
−0.104168 | + | 0.994560i | \(0.533218\pi\) | |||||||
\(824\) | −20.8527 | + | 5.22875i | −0.726440 | + | 0.182152i | ||||
\(825\) | −0.0393979 | + | 0.0570236i | −0.00137166 | + | 0.00198531i | ||||
\(826\) | −6.75730 | − | 23.0248i | −0.235117 | − | 0.801136i | ||||
\(827\) | 7.28264 | + | 12.6139i | 0.253242 | + | 0.438628i | 0.964417 | − | 0.264387i | \(-0.0851697\pi\) |
−0.711174 | + | 0.703016i | \(0.751836\pi\) | |||||||
\(828\) | 10.3928 | + | 10.9762i | 0.361173 | + | 0.381450i | ||||
\(829\) | 2.40540 | + | 4.16627i | 0.0835430 | + | 0.144701i | 0.904769 | − | 0.425902i | \(-0.140043\pi\) |
−0.821226 | + | 0.570602i | \(0.806710\pi\) | |||||||
\(830\) | −30.7340 | − | 16.7854i | −1.06679 | − | 0.582630i | ||||
\(831\) | 2.88114 | + | 30.7128i | 0.0999456 | + | 1.06542i | ||||
\(832\) | 11.0145 | − | 12.2987i | 0.381860 | − | 0.426382i | ||||
\(833\) | −12.3088 | + | 10.3261i | −0.426474 | + | 0.357779i | ||||
\(834\) | 17.2076 | + | 11.2955i | 0.595849 | + | 0.391132i | ||||
\(835\) | −3.61390 | − | 0.637228i | −0.125064 | − | 0.0220522i | ||||
\(836\) | 0.115110 | + | 0.0147099i | 0.00398115 | + | 0.000508751i | ||||
\(837\) | −3.44537 | − | 7.03986i | −0.119089 | − | 0.243333i | ||||
\(838\) | −26.1244 | + | 22.9984i | −0.902451 | + | 0.794466i | ||||
\(839\) | −43.1031 | − | 36.1678i | −1.48808 | − | 1.24865i | −0.896994 | − | 0.442044i | \(-0.854254\pi\) |
−0.591089 | − | 0.806606i | \(-0.701302\pi\) | |||||||
\(840\) | −15.7041 | + | 10.7660i | −0.541844 | + | 0.371463i | ||||
\(841\) | 2.82826 | + | 16.0399i | 0.0975263 | + | 0.553099i | ||||
\(842\) | 1.65462 | − | 0.647069i | 0.0570221 | − | 0.0222995i | ||||
\(843\) | 18.0441 | − | 39.3378i | 0.621473 | − | 1.35486i | ||||
\(844\) | −12.0095 | + | 38.6000i | −0.413384 | + | 1.32867i | ||||
\(845\) | − | 12.8403i | − | 0.441720i | ||||||
\(846\) | −7.50482 | − | 18.5033i | −0.258021 | − | 0.636156i | ||||
\(847\) | 20.5798 | − | 20.5777i | 0.707131 | − | 0.707057i | ||||
\(848\) | −41.3166 | − | 18.8854i | −1.41882 | − | 0.648529i | ||||
\(849\) | 22.8385 | + | 15.7793i | 0.783817 | + | 0.541544i | ||||
\(850\) | −3.35992 | − | 8.59167i | −0.115244 | − | 0.294692i | ||||
\(851\) | 0.870213 | + | 4.93522i | 0.0298305 | + | 0.169177i | ||||
\(852\) | 1.92125 | − | 9.09873i | 0.0658209 | − | 0.311717i | ||||
\(853\) | −20.0197 | + | 7.28657i | −0.685461 | + | 0.249487i | −0.661190 | − | 0.750218i | \(-0.729948\pi\) |
−0.0242703 | + | 0.999705i | \(0.507726\pi\) | |||||||
\(854\) | 3.21165 | − | 50.4278i | 0.109901 | − | 1.72560i | ||||
\(855\) | −17.8442 | + | 3.37761i | −0.610258 | + | 0.115512i | ||||
\(856\) | 22.2318 | + | 32.8652i | 0.759866 | + | 1.12331i | ||||
\(857\) | 0.655859 | − | 0.781622i | 0.0224037 | − | 0.0266997i | −0.754726 | − | 0.656040i | \(-0.772230\pi\) |
0.777130 | + | 0.629340i | \(0.216675\pi\) | |||||||
\(858\) | −0.0163520 | + | 0.0692711i | −0.000558249 | + | 0.00236488i | ||||
\(859\) | 49.3914 | − | 8.70903i | 1.68521 | − | 0.297148i | 0.752720 | − | 0.658340i | \(-0.228741\pi\) |
0.932491 | + | 0.361192i | \(0.117630\pi\) | |||||||
\(860\) | −2.61805 | − | 4.07527i | −0.0892747 | − | 0.138966i | ||||
\(861\) | 5.81582 | + | 3.30973i | 0.198203 | + | 0.112795i | ||||
\(862\) | −7.59152 | + | 13.9001i | −0.258568 | + | 0.473438i | ||||
\(863\) | −7.58651 | − | 13.1402i | −0.258248 | − | 0.447299i | 0.707525 | − | 0.706689i | \(-0.249812\pi\) |
−0.965773 | + | 0.259390i | \(0.916478\pi\) | |||||||
\(864\) | −17.7422 | + | 23.4353i | −0.603603 | + | 0.797285i | ||||
\(865\) | 1.87419 | − | 3.24620i | 0.0637245 | − | 0.110374i | ||||
\(866\) | 2.84272 | − | 0.0674304i | 0.0965995 | − | 0.00229138i | ||||
\(867\) | −14.4584 | − | 14.2783i | −0.491034 | − | 0.484916i | ||||
\(868\) | −5.90479 | − | 5.37018i | −0.200422 | − | 0.182276i | ||||
\(869\) | 0.0736485 | − | 0.202348i | 0.00249836 | − | 0.00686417i | ||||
\(870\) | 12.2872 | − | 3.69055i | 0.416576 | − | 0.125121i | ||||
\(871\) | −8.32916 | + | 9.92631i | −0.282223 | + | 0.336340i | ||||
\(872\) | 7.75101 | − | 15.9459i | 0.262482 | − | 0.539996i | ||||
\(873\) | 8.85106 | + | 23.4010i | 0.299563 | + | 0.792003i | ||||
\(874\) | 9.70174 | + | 11.0204i | 0.328166 | + | 0.372771i | ||||
\(875\) | −2.65482 | − | 30.3629i | −0.0897494 | − | 1.02645i | ||||
\(876\) | 0.774839 | − | 3.66952i | 0.0261794 | − | 0.123982i | ||||
\(877\) | −31.1148 | − | 11.3249i | −1.05067 | − | 0.382414i | −0.241756 | − | 0.970337i | \(-0.577723\pi\) |
−0.808917 | + | 0.587923i | \(0.799946\pi\) | |||||||
\(878\) | 1.49788 | + | 3.83023i | 0.0505509 | + | 0.129264i | ||||
\(879\) | 17.9555 | + | 12.4055i | 0.605623 | + | 0.418429i | ||||
\(880\) | −0.00783648 | − | 0.0823597i | −0.000264168 | − | 0.00277634i | ||||
\(881\) | −38.2056 | + | 22.0580i | −1.28718 | + | 0.743153i | −0.978150 | − | 0.207899i | \(-0.933337\pi\) |
−0.309029 | + | 0.951053i | \(0.600004\pi\) | |||||||
\(882\) | −22.0456 | + | 19.8996i | −0.742312 | + | 0.670054i | ||||
\(883\) | −2.71206 | − | 1.56581i | −0.0912680 | − | 0.0526936i | 0.453671 | − | 0.891169i | \(-0.350114\pi\) |
−0.544939 | + | 0.838475i | \(0.683447\pi\) | |||||||
\(884\) | −6.42670 | − | 6.96024i | −0.216153 | − | 0.234098i | ||||
\(885\) | −16.2460 | + | 1.52402i | −0.546103 | + | 0.0512294i | ||||
\(886\) | −38.3215 | − | 30.6368i | −1.28744 | − | 1.02926i | ||||
\(887\) | −39.0991 | + | 32.8081i | −1.31282 | + | 1.10159i | −0.325046 | + | 0.945698i | \(0.605380\pi\) |
−0.987775 | + | 0.155889i | \(0.950176\pi\) | |||||||
\(888\) | −9.18969 | + | 3.24263i | −0.308386 | + | 0.108815i | ||||
\(889\) | −3.93964 | + | 2.75826i | −0.132131 | + | 0.0925092i | ||||
\(890\) | 2.58173 | + | 12.8516i | 0.0865399 | + | 0.430788i | ||||
\(891\) | 0.0188686 | − | 0.125305i | 0.000632122 | − | 0.00419789i | ||||
\(892\) | 0.461475 | + | 0.0589718i | 0.0154513 | + | 0.00197452i | ||||
\(893\) | −6.63343 | − | 18.2252i | −0.221979 | − | 0.609883i | ||||
\(894\) | 34.3012 | − | 17.2652i | 1.14721 | − | 0.577436i | ||||
\(895\) | 8.17119 | − | 1.44080i | 0.273133 | − | 0.0481607i | ||||
\(896\) | −7.99488 | + | 28.8458i | −0.267090 | + | 0.963672i | ||||
\(897\) | −7.34414 | + | 5.21133i | −0.245214 | + | 0.174001i | ||||
\(898\) | −4.65892 | + | 2.83922i | −0.155470 | + | 0.0947461i | ||||
\(899\) | 2.68904 | + | 4.65756i | 0.0896846 | + | 0.155338i | ||||
\(900\) | −6.78224 | − | 15.6459i | −0.226075 | − | 0.521528i | ||||
\(901\) | −13.0335 | + | 22.5747i | −0.434209 | + | 0.752072i | ||||
\(902\) | −0.0248287 | + | 0.0151310i | −0.000826705 | + | 0.000503808i | ||||
\(903\) | −4.89228 | − | 5.75732i | −0.162805 | − | 0.191592i | ||||
\(904\) | −7.13430 | + | 25.0062i | −0.237283 | + | 0.831693i | ||||
\(905\) | −9.66381 | + | 26.5511i | −0.321236 | + | 0.882588i | ||||
\(906\) | −15.7884 | − | 21.1679i | −0.524535 | − | 0.703257i | ||||
\(907\) | −48.1401 | − | 8.48839i | −1.59846 | − | 0.281852i | −0.697775 | − | 0.716317i | \(-0.745827\pi\) |
−0.900689 | + | 0.434464i | \(0.856938\pi\) | |||||||
\(908\) | −2.58685 | + | 20.2430i | −0.0858478 | + | 0.671789i | ||||
\(909\) | −36.9821 | − | 30.2498i | −1.22662 | − | 1.00332i | ||||
\(910\) | −5.03575 | − | 10.1641i | −0.166934 | − | 0.336937i | ||||
\(911\) | −7.15606 | + | 40.5840i | −0.237091 | + | 1.34461i | 0.601075 | + | 0.799193i | \(0.294739\pi\) |
−0.838165 | + | 0.545416i | \(0.816372\pi\) | |||||||
\(912\) | −18.0473 | + | 22.1238i | −0.597606 | + | 0.732593i | ||||
\(913\) | 0.181812 | − | 0.152559i | 0.00601711 | − | 0.00504896i | ||||
\(914\) | −2.01511 | + | 13.2599i | −0.0666541 | + | 0.438597i | ||||
\(915\) | −33.2449 | − | 8.68495i | −1.09904 | − | 0.287116i | ||||
\(916\) | −25.2097 | − | 7.84344i | −0.832953 | − | 0.259154i | ||||
\(917\) | −10.9991 | − | 41.0577i | −0.363222 | − | 1.35584i | ||||
\(918\) | 12.4225 | + | 11.4086i | 0.410005 | + | 0.376539i | ||||
\(919\) | 35.2666 | − | 20.3612i | 1.16334 | − | 0.671654i | 0.211237 | − | 0.977435i | \(-0.432251\pi\) |
0.952102 | + | 0.305781i | \(0.0989174\pi\) | |||||||
\(920\) | 6.14129 | − | 8.47653i | 0.202472 | − | 0.279463i | ||||
\(921\) | −5.77082 | − | 1.50758i | −0.190155 | − | 0.0496764i | ||||
\(922\) | 18.1806 | − | 22.7409i | 0.598746 | − | 0.748932i | ||||
\(923\) | 5.20600 | + | 1.89483i | 0.171357 | + | 0.0623690i | ||||
\(924\) | −0.0291905 | − | 0.125698i | −0.000960297 | − | 0.00413518i | ||||
\(925\) | 0.981716 | − | 5.56759i | 0.0322786 | − | 0.183061i | ||||
\(926\) | 46.6892 | − | 9.37928i | 1.53430 | − | 0.308222i | ||||
\(927\) | 4.24082 | + | 22.4046i | 0.139287 | + | 0.735862i | ||||
\(928\) | 11.0458 | − | 16.8759i | 0.362595 | − | 0.553979i | ||||
\(929\) | 19.9871 | − | 23.8197i | 0.655756 | − | 0.781500i | −0.331014 | − | 0.943626i | \(-0.607391\pi\) |
0.986770 | + | 0.162126i | \(0.0518352\pi\) | |||||||
\(930\) | −4.35062 | + | 3.24498i | −0.142662 | + | 0.106407i | ||||
\(931\) | −22.1000 | + | 18.5402i | −0.724300 | + | 0.607632i | ||||
\(932\) | 11.3000 | + | 5.82797i | 0.370145 | + | 0.190902i | ||||
\(933\) | −29.6619 | + | 42.9319i | −0.971088 | + | 1.40553i | ||||
\(934\) | −25.1567 | + | 0.596728i | −0.823153 | + | 0.0195255i | ||||
\(935\) | −0.0474719 | −0.00155250 | ||||||||
\(936\) | −12.3380 | − | 12.4267i | −0.403281 | − | 0.406180i | ||||
\(937\) | 25.9262 | − | 44.9056i | 0.846973 | − | 1.46700i | −0.0369231 | − | 0.999318i | \(-0.511756\pi\) |
0.883896 | − | 0.467683i | \(-0.154911\pi\) | |||||||
\(938\) | 5.54183 | − | 22.8302i | 0.180947 | − | 0.745433i | ||||
\(939\) | 3.91010 | + | 41.6815i | 0.127601 | + | 1.36023i | ||||
\(940\) | −11.6333 | + | 7.47350i | −0.379436 | + | 0.243759i | ||||
\(941\) | 3.54033 | − | 9.72696i | 0.115411 | − | 0.317090i | −0.868516 | − | 0.495662i | \(-0.834926\pi\) |
0.983927 | + | 0.178572i | \(0.0571477\pi\) | |||||||
\(942\) | 40.1397 | + | 2.30179i | 1.30782 | + | 0.0749964i | ||||
\(943\) | −3.62288 | − | 0.638811i | −0.117977 | − | 0.0208025i | ||||
\(944\) | −18.0009 | + | 18.2765i | −0.585878 | + | 0.594849i | ||||
\(945\) | 10.4238 | + | 17.2970i | 0.339085 | + | 0.562673i | ||||
\(946\) | 0.0321853 | − | 0.00646562i | 0.00104643 | − | 0.000210215i | ||||
\(947\) | −1.43914 | + | 8.16174i | −0.0467656 | + | 0.265221i | −0.999221 | − | 0.0394562i | \(-0.987437\pi\) |
0.952456 | + | 0.304677i | \(0.0985486\pi\) | |||||||
\(948\) | 32.6733 | + | 41.7046i | 1.06118 | + | 1.35450i | ||||
\(949\) | 2.09958 | + | 0.764184i | 0.0681552 | + | 0.0248065i | ||||
\(950\) | −6.03263 | − | 15.4261i | −0.195724 | − | 0.500488i | ||||
\(951\) | −12.8949 | + | 28.1119i | −0.418145 | + | 0.911592i | ||||
\(952\) | 16.0430 | + | 6.13471i | 0.519955 | + | 0.198827i | ||||
\(953\) | 10.9694 | + | 6.33316i | 0.355332 | + | 0.205151i | 0.667031 | − | 0.745030i | \(-0.267565\pi\) |
−0.311699 | + | 0.950181i | \(0.600898\pi\) | |||||||
\(954\) | −22.5636 | + | 42.5743i | −0.730525 | + | 1.37839i | ||||
\(955\) | 23.3832i | 0.756663i | ||||||||
\(956\) | −2.04909 | − | 9.07948i | −0.0662723 | − | 0.293651i | ||||
\(957\) | −0.00703515 | + | 0.0866661i | −0.000227414 | + | 0.00280152i | ||||
\(958\) | 0.969570 | + | 0.775139i | 0.0313254 | + | 0.0250436i | ||||
\(959\) | 22.0378 | + | 1.92921i | 0.711638 | + | 0.0622974i | ||||
\(960\) | 18.2181 | + | 9.07840i | 0.587987 | + | 0.293004i | ||||
\(961\) | 22.0045 | + | 18.4640i | 0.709822 | + | 0.595611i | ||||
\(962\) | −1.14343 | − | 5.69188i | −0.0368656 | − | 0.183514i | ||||
\(963\) | 36.1803 | − | 21.4979i | 1.16589 | − | 0.692761i | ||||
\(964\) | −25.3249 | + | 10.6028i | −0.815661 | + | 0.341494i | ||||
\(965\) | −39.0690 | − | 6.88893i | −1.25768 | − | 0.221762i | ||||
\(966\) | 7.73662 | − | 14.3775i | 0.248922 | − | 0.462588i | ||||
\(967\) | 14.5638 | − | 40.0138i | 0.468342 | − | 1.28676i | −0.450727 | − | 0.892662i | \(-0.648835\pi\) |
0.919069 | − | 0.394097i | \(-0.128943\pi\) | |||||||
\(968\) | −29.9183 | − | 8.53574i | −0.961611 | − | 0.274349i | ||||
\(969\) | 11.6568 | + | 11.5116i | 0.374471 | + | 0.369805i | ||||
\(970\) | 14.7944 | − | 9.01596i | 0.475020 | − | 0.289485i | ||||
\(971\) | 25.6989 | + | 44.5118i | 0.824716 | + | 1.42845i | 0.902136 | + | 0.431452i | \(0.141999\pi\) |
−0.0774195 | + | 0.996999i | \(0.524668\pi\) | |||||||
\(972\) | 23.7119 | + | 20.2422i | 0.760559 | + | 0.649269i | ||||
\(973\) | 5.75542 | − | 21.4751i | 0.184510 | − | 0.688459i | ||||
\(974\) | −12.1300 | − | 6.62478i | −0.388669 | − | 0.212272i | ||||
\(975\) | 9.79627 | − | 2.69083i | 0.313732 | − | 0.0861757i | ||||
\(976\) | −48.7828 | + | 23.2006i | −1.56150 | + | 0.742634i | ||||
\(977\) | −13.7209 | − | 16.3519i | −0.438971 | − | 0.523145i | 0.500517 | − | 0.865727i | \(-0.333143\pi\) |
−0.939488 | + | 0.342581i | \(0.888699\pi\) | |||||||
\(978\) | −36.4273 | − | 8.59896i | −1.16482 | − | 0.274964i | ||||
\(979\) | −0.0874916 | − | 0.0154271i | −0.00279624 | − | 0.000493053i | ||||
\(980\) | 16.3620 | + | 12.4592i | 0.522666 | + | 0.397996i | ||||
\(981\) | −16.4026 | − | 9.19779i | −0.523694 | − | 0.293663i | ||||
\(982\) | −5.44802 | − | 1.83782i | −0.173853 | − | 0.0586473i | ||||
\(983\) | −4.38028 | + | 24.8418i | −0.139709 | + | 0.792331i | 0.831755 | + | 0.555143i | \(0.187337\pi\) |
−0.971464 | + | 0.237187i | \(0.923774\pi\) | |||||||
\(984\) | 0.0704612 | − | 7.15332i | 0.00224622 | − | 0.228039i | ||||
\(985\) | −20.6155 | − | 7.50341i | −0.656863 | − | 0.239079i | ||||
\(986\) | −9.03962 | − | 7.22687i | −0.287880 | − | 0.230150i | ||||
\(987\) | −16.4349 | + | 13.9655i | −0.523129 | + | 0.444528i | ||||
\(988\) | −11.5389 | − | 12.4969i | −0.367103 | − | 0.397579i | ||||
\(989\) | 3.59705 | + | 2.07676i | 0.114380 | + | 0.0660371i | ||||
\(990\) | −0.0876925 | + | 0.00318055i | −0.00278705 | + | 0.000101085i | ||||
\(991\) | 9.66394 | − | 5.57948i | 0.306985 | − | 0.177238i | −0.338591 | − | 0.940934i | \(-0.609950\pi\) |
0.645577 | + | 0.763696i | \(0.276617\pi\) | |||||||
\(992\) | −1.94929 | + | 8.30701i | −0.0618900 | + | 0.263748i | ||||
\(993\) | −20.7092 | + | 45.1477i | −0.657185 | + | 1.43272i | ||||
\(994\) | −9.98272 | + | 1.11195i | −0.316633 | + | 0.0352690i | ||||
\(995\) | 1.99708 | + | 11.3260i | 0.0633117 | + | 0.359058i | ||||
\(996\) | 8.20432 | + | 57.8142i | 0.259964 | + | 1.83191i | ||||
\(997\) | 3.16212 | − | 1.15092i | 0.100145 | − | 0.0364499i | −0.291462 | − | 0.956583i | \(-0.594142\pi\) |
0.391607 | + | 0.920133i | \(0.371919\pi\) | |||||||
\(998\) | 16.0569 | − | 47.5989i | 0.508272 | − | 1.50672i | ||||
\(999\) | 2.86246 | + | 9.93187i | 0.0905644 | + | 0.314230i |
(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 | 756.2.bs.a.11.2 | ✓ | 840 | |
4.3 | odd | 2 | inner | 756.2.bs.a.11.16 | yes | 840 | |
7.2 | even | 3 | 756.2.ci.a.443.94 | yes | 840 | ||
27.5 | odd | 18 | 756.2.ci.a.599.78 | yes | 840 | ||
28.23 | odd | 6 | 756.2.ci.a.443.78 | yes | 840 | ||
108.59 | even | 18 | 756.2.ci.a.599.94 | yes | 840 | ||
189.86 | odd | 18 | inner | 756.2.bs.a.275.16 | yes | 840 | |
756.275 | even | 18 | inner | 756.2.bs.a.275.2 | yes | 840 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
756.2.bs.a.11.2 | ✓ | 840 | 1.1 | even | 1 | trivial | |
756.2.bs.a.11.16 | yes | 840 | 4.3 | odd | 2 | inner | |
756.2.bs.a.275.2 | yes | 840 | 756.275 | even | 18 | inner | |
756.2.bs.a.275.16 | yes | 840 | 189.86 | odd | 18 | inner | |
756.2.ci.a.443.78 | yes | 840 | 28.23 | odd | 6 | ||
756.2.ci.a.443.94 | yes | 840 | 7.2 | even | 3 | ||
756.2.ci.a.599.78 | yes | 840 | 27.5 | odd | 18 | ||
756.2.ci.a.599.94 | yes | 840 | 108.59 | even | 18 |