Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [460,2,Mod(3,460)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(460, base_ring=CyclotomicField(44))
chi = DirichletCharacter(H, H._module([22, 33, 32]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("460.3");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 460 = 2^{2} \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 460.w (of order \(44\), degree \(20\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.67311849298\) |
Analytic rank: | \(0\) |
Dimension: | \(1360\) |
Relative dimension: | \(68\) over \(\Q(\zeta_{44})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{44}]$ |
Embedding invariants
Embedding label | 3.15 | ||
Character | \(\chi\) | \(=\) | 460.3 |
Dual form | 460.2.w.a.307.15 |
$q$-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 \(\left(\mathbb{Z}/460\mathbb{Z}\right)^\times\).
\(n\) | \(231\) | \(277\) | \(281\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{3}{4}\right)\) | \(e\left(\frac{8}{11}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.11682 | + | 0.867590i | −0.789711 | + | 0.613479i | ||||
\(3\) | −0.106315 | − | 0.285041i | −0.0613809 | − | 0.164569i | 0.902639 | − | 0.430398i | \(-0.141627\pi\) |
−0.964020 | + | 0.265830i | \(0.914354\pi\) | |||||||
\(4\) | 0.494574 | − | 1.93788i | 0.247287 | − | 0.968942i | ||||
\(5\) | 1.46736 | − | 1.68726i | 0.656224 | − | 0.754566i | ||||
\(6\) | 0.366034 | + | 0.226102i | 0.149433 | + | 0.0923058i | ||||
\(7\) | 3.49451 | + | 0.760183i | 1.32080 | + | 0.287322i | 0.817069 | − | 0.576539i | \(-0.195597\pi\) |
0.503729 | + | 0.863861i | \(0.331961\pi\) | |||||||
\(8\) | 1.12894 | + | 2.59336i | 0.399140 | + | 0.916890i | ||||
\(9\) | 2.19730 | − | 1.90397i | 0.732434 | − | 0.634658i | ||||
\(10\) | −0.174928 | + | 3.15744i | −0.0553170 | + | 0.998469i | ||||
\(11\) | −3.73251 | − | 0.536654i | −1.12539 | − | 0.161807i | −0.445615 | − | 0.895225i | \(-0.647015\pi\) |
−0.679779 | + | 0.733417i | \(0.737924\pi\) | |||||||
\(12\) | −0.604958 | + | 0.0650518i | −0.174636 | + | 0.0187788i | ||||
\(13\) | −0.800200 | − | 3.67846i | −0.221935 | − | 1.02022i | −0.944396 | − | 0.328809i | \(-0.893353\pi\) |
0.722461 | − | 0.691412i | \(-0.243011\pi\) | |||||||
\(14\) | −4.56226 | + | 2.18281i | −1.21932 | + | 0.583381i | ||||
\(15\) | −0.636941 | − | 0.238878i | −0.164458 | − | 0.0616779i | ||||
\(16\) | −3.51079 | − | 1.91686i | −0.877698 | − | 0.479214i | ||||
\(17\) | −4.73719 | + | 2.58670i | −1.14894 | + | 0.627367i | −0.936797 | − | 0.349872i | \(-0.886225\pi\) |
−0.212140 | + | 0.977239i | \(0.568043\pi\) | |||||||
\(18\) | −0.802123 | + | 4.03276i | −0.189062 | + | 0.950529i | ||||
\(19\) | 2.41530 | − | 0.709197i | 0.554108 | − | 0.162701i | 0.00732216 | − | 0.999973i | \(-0.497669\pi\) |
0.546786 | + | 0.837272i | \(0.315851\pi\) | |||||||
\(20\) | −2.54400 | − | 3.67805i | −0.568855 | − | 0.822438i | ||||
\(21\) | −0.154834 | − | 1.07690i | −0.0337876 | − | 0.234998i | ||||
\(22\) | 4.63414 | − | 2.63894i | 0.988001 | − | 0.562624i | ||||
\(23\) | 4.63283 | + | 1.23971i | 0.966012 | + | 0.258498i | ||||
\(24\) | 0.619190 | − | 0.597506i | 0.126392 | − | 0.121965i | ||||
\(25\) | −0.693700 | − | 4.95164i | −0.138740 | − | 0.990329i | ||||
\(26\) | 4.08507 | + | 3.41393i | 0.801149 | + | 0.669527i | ||||
\(27\) | −1.57735 | − | 0.861296i | −0.303560 | − | 0.165757i | ||||
\(28\) | 3.20144 | − | 6.39598i | 0.605015 | − | 1.20873i | ||||
\(29\) | 1.80808 | − | 6.15776i | 0.335752 | − | 1.14347i | −0.602674 | − | 0.797987i | \(-0.705898\pi\) |
0.938426 | − | 0.345479i | \(-0.112284\pi\) | |||||||
\(30\) | 0.918597 | − | 0.285821i | 0.167712 | − | 0.0521835i | ||||
\(31\) | −5.95584 | + | 2.71994i | −1.06970 | + | 0.488516i | −0.870868 | − | 0.491517i | \(-0.836442\pi\) |
−0.198833 | + | 0.980033i | \(0.563715\pi\) | |||||||
\(32\) | 5.58397 | − | 0.905145i | 0.987116 | − | 0.160009i | ||||
\(33\) | 0.243853 | + | 1.12097i | 0.0424493 | + | 0.195136i | ||||
\(34\) | 3.04639 | − | 6.99882i | 0.522452 | − | 1.20029i | ||||
\(35\) | 6.41033 | − | 4.78068i | 1.08354 | − | 0.808082i | ||||
\(36\) | −2.60295 | − | 5.19978i | −0.433825 | − | 0.866629i | ||||
\(37\) | 10.4317 | + | 0.746087i | 1.71495 | + | 0.122656i | 0.893921 | − | 0.448225i | \(-0.147944\pi\) |
0.821033 | + | 0.570881i | \(0.193398\pi\) | |||||||
\(38\) | −2.08217 | + | 2.88754i | −0.337772 | + | 0.468420i | ||||
\(39\) | −0.963439 | + | 0.619165i | −0.154274 | + | 0.0991457i | ||||
\(40\) | 6.03223 | + | 1.90058i | 0.953779 | + | 0.300508i | ||||
\(41\) | −4.73240 | + | 5.46148i | −0.739077 | + | 0.852940i | −0.993462 | − | 0.114163i | \(-0.963582\pi\) |
0.254385 | + | 0.967103i | \(0.418127\pi\) | |||||||
\(42\) | 1.10723 | + | 1.06837i | 0.170849 | + | 0.164853i | ||||
\(43\) | 1.57981 | + | 4.23562i | 0.240918 | + | 0.645926i | 0.999987 | − | 0.00508379i | \(-0.00161823\pi\) |
−0.759069 | + | 0.651010i | \(0.774346\pi\) | |||||||
\(44\) | −2.88598 | + | 6.96776i | −0.435077 | + | 1.05043i | ||||
\(45\) | 0.0117366 | − | 6.50124i | 0.00174959 | − | 0.969148i | ||||
\(46\) | −6.24960 | + | 2.63486i | −0.921453 | + | 0.388489i | ||||
\(47\) | −2.61367 | − | 2.61367i | −0.381243 | − | 0.381243i | 0.490307 | − | 0.871550i | \(-0.336885\pi\) |
−0.871550 | + | 0.490307i | \(0.836885\pi\) | |||||||
\(48\) | −0.173134 | + | 1.20451i | −0.0249897 | + | 0.173856i | ||||
\(49\) | 5.26626 | + | 2.40502i | 0.752324 | + | 0.343575i | ||||
\(50\) | 5.07074 | + | 4.92825i | 0.717110 | + | 0.696960i | ||||
\(51\) | 1.24095 | + | 1.07529i | 0.173768 | + | 0.150571i | ||||
\(52\) | −7.52419 | − | 0.268577i | −1.04342 | − | 0.0372450i | ||||
\(53\) | 10.3454 | + | 2.25050i | 1.42105 | + | 0.309131i | 0.856448 | − | 0.516233i | \(-0.172666\pi\) |
0.564602 | + | 0.825363i | \(0.309030\pi\) | |||||||
\(54\) | 2.50886 | − | 0.406577i | 0.341413 | − | 0.0553281i | ||||
\(55\) | −6.38242 | + | 5.51025i | −0.860605 | + | 0.743002i | ||||
\(56\) | 1.97366 | + | 9.92070i | 0.263741 | + | 1.32571i | ||||
\(57\) | −0.458933 | − | 0.613062i | −0.0607871 | − | 0.0812021i | ||||
\(58\) | 3.32311 | + | 8.44578i | 0.436345 | + | 1.10898i | ||||
\(59\) | −1.68231 | − | 1.08116i | −0.219018 | − | 0.140755i | 0.426531 | − | 0.904473i | \(-0.359735\pi\) |
−0.645550 | + | 0.763718i | \(0.723372\pi\) | |||||||
\(60\) | −0.777932 | + | 1.11618i | −0.100431 | + | 0.144098i | ||||
\(61\) | −0.467700 | − | 1.02412i | −0.0598828 | − | 0.131125i | 0.877325 | − | 0.479897i | \(-0.159326\pi\) |
−0.937208 | + | 0.348772i | \(0.886599\pi\) | |||||||
\(62\) | 4.29181 | − | 8.20492i | 0.545060 | − | 1.04203i | ||||
\(63\) | 9.12586 | − | 4.98309i | 1.14975 | − | 0.627811i | ||||
\(64\) | −5.45099 | + | 5.85548i | −0.681374 | + | 0.731935i | ||||
\(65\) | −7.38070 | − | 4.04748i | −0.915464 | − | 0.502029i | ||||
\(66\) | −1.24488 | − | 1.04036i | −0.153235 | − | 0.128060i | ||||
\(67\) | 8.40339 | − | 11.2256i | 1.02664 | − | 1.37143i | 0.100204 | − | 0.994967i | \(-0.468050\pi\) |
0.926433 | − | 0.376460i | \(-0.122859\pi\) | |||||||
\(68\) | 2.66983 | + | 10.4594i | 0.323765 | + | 1.26839i | ||||
\(69\) | −0.139170 | − | 1.45235i | −0.0167541 | − | 0.174842i | ||||
\(70\) | −3.01151 | + | 10.9007i | −0.359945 | + | 1.30288i | ||||
\(71\) | −4.19127 | + | 0.602614i | −0.497412 | + | 0.0715171i | −0.386455 | − | 0.922308i | \(-0.626301\pi\) |
−0.110957 | + | 0.993825i | \(0.535392\pi\) | |||||||
\(72\) | 7.41830 | + | 3.54892i | 0.874255 | + | 0.418244i | ||||
\(73\) | 5.00399 | + | 2.73238i | 0.585672 | + | 0.319801i | 0.744623 | − | 0.667485i | \(-0.232629\pi\) |
−0.158951 | + | 0.987287i | \(0.550811\pi\) | |||||||
\(74\) | −12.2976 | + | 8.21716i | −1.42956 | + | 0.955225i | ||||
\(75\) | −1.33767 | + | 0.724167i | −0.154461 | + | 0.0836196i | ||||
\(76\) | −0.179794 | − | 5.03133i | −0.0206238 | − | 0.577133i | ||||
\(77\) | −12.6353 | − | 4.71273i | −1.43993 | − | 0.537065i | ||||
\(78\) | 0.538807 | − | 1.52737i | 0.0610079 | − | 0.172940i | ||||
\(79\) | −3.50409 | − | 2.25194i | −0.394240 | − | 0.253363i | 0.328469 | − | 0.944515i | \(-0.393467\pi\) |
−0.722710 | + | 0.691152i | \(0.757104\pi\) | |||||||
\(80\) | −8.38584 | + | 3.11090i | −0.937565 | + | 0.347809i | ||||
\(81\) | 1.16351 | − | 8.09239i | 0.129279 | − | 0.899154i | ||||
\(82\) | 0.546913 | − | 10.2053i | 0.0603964 | − | 1.12698i | ||||
\(83\) | −14.7120 | − | 1.05222i | −1.61485 | − | 0.115496i | −0.765540 | − | 0.643389i | \(-0.777528\pi\) |
−0.849311 | + | 0.527892i | \(0.822983\pi\) | |||||||
\(84\) | −2.16348 | − | 0.232555i | −0.236055 | − | 0.0253738i | ||||
\(85\) | −2.58673 | + | 11.7885i | −0.280570 | + | 1.27864i | ||||
\(86\) | −5.43914 | − | 3.35980i | −0.586518 | − | 0.362297i | ||||
\(87\) | −1.94744 | + | 0.139284i | −0.208787 | + | 0.0149328i | ||||
\(88\) | −2.82204 | − | 10.2856i | −0.300830 | − | 1.09645i | ||||
\(89\) | 8.03445 | + | 3.66921i | 0.851650 | + | 0.388935i | 0.792911 | − | 0.609338i | \(-0.208565\pi\) |
0.0587391 | + | 0.998273i | \(0.481292\pi\) | |||||||
\(90\) | 5.62731 | + | 7.27090i | 0.593170 | + | 0.766420i | ||||
\(91\) | − | 13.4627i | − | 1.41127i | ||||||
\(92\) | 4.69370 | − | 8.36476i | 0.489352 | − | 0.872086i | ||||
\(93\) | 1.40849 | + | 1.40849i | 0.146054 | + | 0.146054i | ||||
\(94\) | 5.18659 | + | 0.651405i | 0.534956 | + | 0.0671873i | ||||
\(95\) | 2.34752 | − | 5.11589i | 0.240851 | − | 0.524880i | ||||
\(96\) | −0.851663 | − | 1.49543i | −0.0869224 | − | 0.152627i | ||||
\(97\) | 0.323748 | + | 4.52658i | 0.0328716 | + | 0.459605i | 0.987055 | + | 0.160382i | \(0.0512727\pi\) |
−0.954183 | + | 0.299222i | \(0.903273\pi\) | |||||||
\(98\) | −7.96804 | + | 1.88298i | −0.804894 | + | 0.190210i | ||||
\(99\) | −9.22323 | + | 5.92741i | −0.926969 | + | 0.595727i | ||||
\(100\) | −9.93880 | − | 1.10465i | −0.993880 | − | 0.110465i | ||||
\(101\) | 8.48439 | + | 9.79151i | 0.844228 | + | 0.974291i | 0.999909 | − | 0.0135161i | \(-0.00430244\pi\) |
−0.155680 | + | 0.987807i | \(0.549757\pi\) | |||||||
\(102\) | −2.31883 | − | 0.124269i | −0.229598 | − | 0.0123044i | ||||
\(103\) | 5.69491 | + | 7.60751i | 0.561136 | + | 0.749590i | 0.987954 | − | 0.154747i | \(-0.0494564\pi\) |
−0.426818 | + | 0.904338i | \(0.640365\pi\) | |||||||
\(104\) | 8.63618 | − | 6.22796i | 0.846847 | − | 0.610702i | ||||
\(105\) | −2.04420 | − | 1.31895i | −0.199494 | − | 0.128716i | ||||
\(106\) | −13.5065 | + | 6.46216i | −1.31186 | + | 0.627661i | ||||
\(107\) | −6.31994 | + | 16.9444i | −0.610971 | + | 1.63808i | 0.149542 | + | 0.988755i | \(0.452220\pi\) |
−0.760513 | + | 0.649322i | \(0.775053\pi\) | |||||||
\(108\) | −2.44921 | + | 2.63074i | −0.235675 | + | 0.253143i | ||||
\(109\) | 0.132242 | − | 0.450375i | 0.0126665 | − | 0.0431381i | −0.952917 | − | 0.303230i | \(-0.901935\pi\) |
0.965584 | + | 0.260092i | \(0.0837530\pi\) | |||||||
\(110\) | 2.34737 | − | 11.6913i | 0.223813 | − | 1.11472i | ||||
\(111\) | −0.896375 | − | 3.05277i | −0.0850801 | − | 0.289756i | ||||
\(112\) | −10.8113 | − | 9.36731i | −1.02157 | − | 0.885128i | ||||
\(113\) | −1.81362 | + | 2.42272i | −0.170611 | + | 0.227910i | −0.877695 | − | 0.479220i | \(-0.840920\pi\) |
0.707083 | + | 0.707130i | \(0.250011\pi\) | |||||||
\(114\) | 1.04443 | + | 0.286515i | 0.0978200 | + | 0.0268346i | ||||
\(115\) | 8.88975 | − | 5.99769i | 0.828974 | − | 0.559287i | ||||
\(116\) | −11.0388 | − | 6.54932i | −1.02493 | − | 0.608089i | ||||
\(117\) | −8.76197 | − | 6.55913i | −0.810045 | − | 0.606392i | ||||
\(118\) | 2.81684 | − | 0.252100i | 0.259311 | − | 0.0232077i | ||||
\(119\) | −18.5205 | + | 5.43811i | −1.69777 | + | 0.498511i | ||||
\(120\) | −0.0995732 | − | 1.92149i | −0.00908974 | − | 0.175408i | ||||
\(121\) | 3.08920 | + | 0.907072i | 0.280837 | + | 0.0824611i | ||||
\(122\) | 1.41085 | + | 0.737986i | 0.127733 | + | 0.0668141i | ||||
\(123\) | 2.05987 | + | 0.768293i | 0.185732 | + | 0.0692746i | ||||
\(124\) | 2.32533 | + | 12.8869i | 0.208820 | + | 1.15728i | ||||
\(125\) | −9.37263 | − | 6.09540i | −0.838313 | − | 0.545189i | ||||
\(126\) | −5.86866 | + | 13.4827i | −0.522821 | + | 1.20114i | ||||
\(127\) | −10.6323 | + | 7.95925i | −0.943465 | + | 0.706269i | −0.955912 | − | 0.293653i | \(-0.905129\pi\) |
0.0124469 | + | 0.999923i | \(0.496038\pi\) | |||||||
\(128\) | 1.00762 | − | 11.2687i | 0.0890621 | − | 0.996026i | ||||
\(129\) | 1.03937 | − | 0.900619i | 0.0915114 | − | 0.0792951i | ||||
\(130\) | 11.7545 | − | 1.88312i | 1.03094 | − | 0.165160i | ||||
\(131\) | 5.00499 | + | 7.78791i | 0.437288 | + | 0.680433i | 0.988033 | − | 0.154240i | \(-0.0492929\pi\) |
−0.550746 | + | 0.834673i | \(0.685657\pi\) | |||||||
\(132\) | 2.29292 | + | 0.0818462i | 0.199573 | + | 0.00712380i | ||||
\(133\) | 8.97940 | − | 0.642220i | 0.778613 | − | 0.0556875i | ||||
\(134\) | 0.354158 | + | 19.8277i | 0.0305946 | + | 1.71285i | ||||
\(135\) | −3.76777 | + | 1.39756i | −0.324278 | + | 0.120283i | ||||
\(136\) | −12.0562 | − | 9.36499i | −1.03381 | − | 0.803041i | ||||
\(137\) | −2.93560 | + | 2.93560i | −0.250805 | + | 0.250805i | −0.821301 | − | 0.570495i | \(-0.806751\pi\) |
0.570495 | + | 0.821301i | \(0.306751\pi\) | |||||||
\(138\) | 1.41547 | + | 1.50127i | 0.120493 | + | 0.127796i | ||||
\(139\) | 11.0285 | 0.935427 | 0.467713 | − | 0.883880i | \(-0.345078\pi\) | ||||
0.467713 | + | 0.883880i | \(0.345078\pi\) | |||||||
\(140\) | −6.09402 | − | 14.7869i | −0.515039 | − | 1.24972i | ||||
\(141\) | −0.467132 | + | 1.02288i | −0.0393396 | + | 0.0861417i | ||||
\(142\) | 4.15807 | − | 4.30932i | 0.348938 | − | 0.361630i | ||||
\(143\) | 1.01269 | + | 14.1593i | 0.0846857 | + | 1.18406i | ||||
\(144\) | −11.3639 | + | 2.47254i | −0.946993 | + | 0.206045i | ||||
\(145\) | −7.73663 | − | 12.0864i | −0.642492 | − | 1.00372i | ||||
\(146\) | −7.95914 | + | 1.28983i | −0.658703 | + | 0.106747i | ||||
\(147\) | 0.125648 | − | 1.75679i | 0.0103633 | − | 0.144898i | ||||
\(148\) | 6.60506 | − | 19.8463i | 0.542933 | − | 1.63136i | ||||
\(149\) | −12.3693 | − | 1.77843i | −1.01333 | − | 0.145695i | −0.384407 | − | 0.923164i | \(-0.625594\pi\) |
−0.628921 | + | 0.777469i | \(0.716503\pi\) | |||||||
\(150\) | 0.865659 | − | 1.96931i | 0.0706808 | − | 0.160794i | ||||
\(151\) | 5.68374 | − | 8.84407i | 0.462536 | − | 0.719720i | −0.529132 | − | 0.848539i | \(-0.677482\pi\) |
0.991668 | + | 0.128820i | \(0.0411188\pi\) | |||||||
\(152\) | 4.56593 | + | 5.46310i | 0.370346 | + | 0.443116i | ||||
\(153\) | −5.48403 | + | 14.7033i | −0.443357 | + | 1.18869i | ||||
\(154\) | 18.2001 | − | 5.69901i | 1.46661 | − | 0.459239i | ||||
\(155\) | −4.15012 | + | 14.0402i | −0.333346 | + | 1.12774i | ||||
\(156\) | 0.723377 | + | 2.17326i | 0.0579165 | + | 0.174000i | ||||
\(157\) | −5.32722 | + | 9.75608i | −0.425159 | + | 0.778620i | −0.999191 | − | 0.0402124i | \(-0.987197\pi\) |
0.574032 | + | 0.818833i | \(0.305378\pi\) | |||||||
\(158\) | 5.86719 | − | 0.525099i | 0.466769 | − | 0.0417747i | ||||
\(159\) | −0.458384 | − | 3.18813i | −0.0363522 | − | 0.252835i | ||||
\(160\) | 6.66649 | − | 10.7498i | 0.527032 | − | 0.849845i | ||||
\(161\) | 15.2470 | + | 7.85398i | 1.20164 | + | 0.618980i | ||||
\(162\) | 5.72145 | + | 10.0472i | 0.449519 | + | 0.789382i | ||||
\(163\) | −6.53983 | − | 4.89566i | −0.512239 | − | 0.383457i | 0.311660 | − | 0.950194i | \(-0.399115\pi\) |
−0.823899 | + | 0.566736i | \(0.808206\pi\) | |||||||
\(164\) | 8.24320 | + | 11.8720i | 0.643686 | + | 0.927044i | ||||
\(165\) | 2.24919 | + | 1.23343i | 0.175100 | + | 0.0960224i | ||||
\(166\) | 17.3435 | − | 11.5888i | 1.34612 | − | 0.899468i | ||||
\(167\) | 9.96455 | + | 18.2487i | 0.771080 | + | 1.41213i | 0.906879 | + | 0.421391i | \(0.138458\pi\) |
−0.135799 | + | 0.990736i | \(0.543360\pi\) | |||||||
\(168\) | 2.61798 | − | 1.61729i | 0.201981 | − | 0.124777i | ||||
\(169\) | −1.06553 | + | 0.486610i | −0.0819636 | + | 0.0374315i | ||||
\(170\) | −7.33868 | − | 15.4099i | −0.562851 | − | 1.18188i | ||||
\(171\) | 3.95686 | − | 6.15699i | 0.302589 | − | 0.470837i | ||||
\(172\) | 8.98948 | − | 0.966650i | 0.685441 | − | 0.0737063i | ||||
\(173\) | −10.3564 | + | 7.75269i | −0.787381 | + | 0.589426i | −0.915493 | − | 0.402334i | \(-0.868199\pi\) |
0.128112 | + | 0.991760i | \(0.459108\pi\) | |||||||
\(174\) | 2.05410 | − | 1.84513i | 0.155721 | − | 0.139879i | ||||
\(175\) | 1.34002 | − | 17.8309i | 0.101296 | − | 1.34789i | ||||
\(176\) | 12.0754 | + | 9.03876i | 0.910216 | + | 0.681322i | ||||
\(177\) | −0.129319 | + | 0.594471i | −0.00972023 | + | 0.0446832i | ||||
\(178\) | −12.1564 | + | 2.87276i | −0.911161 | + | 0.215323i | ||||
\(179\) | 4.68355 | − | 5.40511i | 0.350065 | − | 0.403997i | −0.553222 | − | 0.833034i | \(-0.686602\pi\) |
0.903287 | + | 0.429038i | \(0.141147\pi\) | |||||||
\(180\) | −12.5929 | − | 3.23809i | −0.938616 | − | 0.241353i | ||||
\(181\) | −2.51926 | + | 5.51641i | −0.187255 | + | 0.410032i | −0.979855 | − | 0.199711i | \(-0.936000\pi\) |
0.792600 | + | 0.609742i | \(0.208727\pi\) | |||||||
\(182\) | 11.6801 | + | 15.0354i | 0.865787 | + | 1.11450i | ||||
\(183\) | −0.242193 | + | 0.242193i | −0.0179034 | + | 0.0179034i | ||||
\(184\) | 2.01517 | + | 13.4141i | 0.148560 | + | 0.988903i | ||||
\(185\) | 16.5659 | − | 16.5061i | 1.21795 | − | 1.21356i | ||||
\(186\) | −2.79502 | − | 0.351038i | −0.204941 | − | 0.0257393i | ||||
\(187\) | 19.0698 | − | 7.11265i | 1.39452 | − | 0.520129i | ||||
\(188\) | −6.35764 | + | 3.77234i | −0.463679 | + | 0.275126i | ||||
\(189\) | −4.85730 | − | 4.20888i | −0.353317 | − | 0.306151i | ||||
\(190\) | 1.81674 | + | 7.75022i | 0.131800 | + | 0.562260i | ||||
\(191\) | −8.35288 | − | 12.9973i | −0.604393 | − | 0.940454i | −0.999759 | − | 0.0219305i | \(-0.993019\pi\) |
0.395366 | − | 0.918523i | \(-0.370618\pi\) | |||||||
\(192\) | 2.24858 | + | 0.931233i | 0.162277 | + | 0.0672060i | ||||
\(193\) | −0.602954 | + | 8.43040i | −0.0434016 | + | 0.606834i | 0.928483 | + | 0.371375i | \(0.121114\pi\) |
−0.971884 | + | 0.235458i | \(0.924341\pi\) | |||||||
\(194\) | −4.28879 | − | 4.77450i | −0.307917 | − | 0.342789i | ||||
\(195\) | −0.369021 | + | 2.53411i | −0.0264261 | + | 0.181472i | ||||
\(196\) | 7.26522 | − | 9.01595i | 0.518944 | − | 0.643996i | ||||
\(197\) | −8.33475 | + | 1.81311i | −0.593826 | + | 0.129179i | −0.499428 | − | 0.866355i | \(-0.666456\pi\) |
−0.0943985 | + | 0.995534i | \(0.530093\pi\) | |||||||
\(198\) | 5.15813 | − | 14.6218i | 0.366572 | − | 1.03913i | ||||
\(199\) | −0.273343 | − | 0.598537i | −0.0193767 | − | 0.0424292i | 0.899696 | − | 0.436517i | \(-0.143788\pi\) |
−0.919073 | + | 0.394087i | \(0.871061\pi\) | |||||||
\(200\) | 12.0582 | − | 7.38912i | 0.852646 | − | 0.522489i | ||||
\(201\) | −4.09317 | − | 1.20186i | −0.288710 | − | 0.0847728i | ||||
\(202\) | −17.9706 | − | 3.57438i | −1.26440 | − | 0.251492i | ||||
\(203\) | 10.9994 | − | 20.1438i | 0.772004 | − | 1.41382i | ||||
\(204\) | 2.69753 | − | 1.87301i | 0.188865 | − | 0.131137i | ||||
\(205\) | 2.27080 | + | 15.9988i | 0.158600 | + | 1.11740i | ||||
\(206\) | −12.9604 | − | 3.55537i | −0.902993 | − | 0.247714i | ||||
\(207\) | 12.5401 | − | 6.09676i | 0.871598 | − | 0.423754i | ||||
\(208\) | −4.24174 | + | 14.4482i | −0.294112 | + | 1.00180i | ||||
\(209\) | −9.39573 | + | 1.35090i | −0.649916 | + | 0.0934438i | ||||
\(210\) | 3.42732 | − | 0.300501i | 0.236507 | − | 0.0207365i | ||||
\(211\) | 1.51254 | + | 5.15125i | 0.104128 | + | 0.354627i | 0.995031 | − | 0.0995668i | \(-0.0317457\pi\) |
−0.890903 | + | 0.454193i | \(0.849928\pi\) | |||||||
\(212\) | 9.47779 | − | 18.9352i | 0.650937 | − | 1.30047i | ||||
\(213\) | 0.617364 | + | 1.13062i | 0.0423011 | + | 0.0774687i | ||||
\(214\) | −7.64257 | − | 24.4070i | −0.522435 | − | 1.66843i | ||||
\(215\) | 9.46475 | + | 3.54965i | 0.645490 | + | 0.242084i | ||||
\(216\) | 0.452921 | − | 5.06297i | 0.0308173 | − | 0.344492i | ||||
\(217\) | −22.8804 | + | 4.97732i | −1.55322 | + | 0.337883i | ||||
\(218\) | 0.243050 | + | 0.617720i | 0.0164615 | + | 0.0418373i | ||||
\(219\) | 0.246844 | − | 1.71683i | 0.0166801 | − | 0.116013i | ||||
\(220\) | 7.52165 | + | 15.0936i | 0.507110 | + | 1.01761i | ||||
\(221\) | 13.3058 | + | 15.3557i | 0.895043 | + | 1.03293i | ||||
\(222\) | 3.64964 | + | 2.63171i | 0.244948 | + | 0.176629i | ||||
\(223\) | −3.75535 | + | 17.2631i | −0.251477 | + | 1.15602i | 0.662120 | + | 0.749398i | \(0.269657\pi\) |
−0.913596 | + | 0.406622i | \(0.866707\pi\) | |||||||
\(224\) | 20.2013 | + | 1.08181i | 1.34976 | + | 0.0722811i | ||||
\(225\) | −10.9521 | − | 9.55948i | −0.730138 | − | 0.637298i | ||||
\(226\) | −0.0764346 | − | 4.27922i | −0.00508436 | − | 0.284650i | ||||
\(227\) | 11.9454 | − | 4.45540i | 0.792844 | − | 0.295715i | 0.0797780 | − | 0.996813i | \(-0.474579\pi\) |
0.713066 | + | 0.701097i | \(0.247306\pi\) | |||||||
\(228\) | −1.41502 | + | 0.586154i | −0.0937120 | + | 0.0388190i | ||||
\(229\) | − | 0.0730179i | − | 0.00482516i | −0.999997 | − | 0.00241258i | \(-0.999232\pi\) | ||
0.999997 | − | 0.00241258i | \(-0.000767949\pi\) | |||||||
\(230\) | −4.72472 | + | 14.4110i | −0.311539 | + | 0.950233i | ||||
\(231\) | 4.10262i | 0.269933i | ||||||||
\(232\) | 18.0105 | − | 2.26273i | 1.18244 | − | 0.148556i | ||||
\(233\) | 6.25526 | − | 2.33309i | 0.409796 | − | 0.152846i | −0.136108 | − | 0.990694i | \(-0.543459\pi\) |
0.545903 | + | 0.837848i | \(0.316187\pi\) | |||||||
\(234\) | 15.4762 | − | 0.276432i | 1.01171 | − | 0.0180710i | ||||
\(235\) | −8.24514 | + | 0.574745i | −0.537854 | + | 0.0374922i | ||||
\(236\) | −2.92718 | + | 2.72541i | −0.190543 | + | 0.177409i | ||||
\(237\) | −0.269359 | + | 1.23822i | −0.0174967 | + | 0.0804313i | ||||
\(238\) | 15.9660 | − | 22.1416i | 1.03492 | − | 1.43523i | ||||
\(239\) | 9.42269 | + | 10.8744i | 0.609503 | + | 0.703404i | 0.973678 | − | 0.227926i | \(-0.0731945\pi\) |
−0.364175 | + | 0.931330i | \(0.618649\pi\) | |||||||
\(240\) | 1.77827 | + | 2.05957i | 0.114787 | + | 0.132945i | ||||
\(241\) | −2.37992 | + | 16.5527i | −0.153304 | + | 1.06625i | 0.757328 | + | 0.653035i | \(0.226505\pi\) |
−0.910632 | + | 0.413219i | \(0.864404\pi\) | |||||||
\(242\) | −4.23705 | + | 1.66713i | −0.272368 | + | 0.107167i | ||||
\(243\) | −7.69869 | + | 1.67475i | −0.493871 | + | 0.107435i | ||||
\(244\) | −2.21594 | + | 0.399845i | −0.141861 | + | 0.0255974i | ||||
\(245\) | 11.7854 | − | 5.35653i | 0.752943 | − | 0.342216i | ||||
\(246\) | −2.96707 | + | 0.929080i | −0.189173 | + | 0.0592360i | ||||
\(247\) | −4.54148 | − | 8.31709i | −0.288967 | − | 0.529204i | ||||
\(248\) | −13.7776 | − | 12.3750i | −0.874876 | − | 0.785811i | ||||
\(249\) | 1.26418 | + | 4.30539i | 0.0801140 | + | 0.272843i | ||||
\(250\) | 15.7558 | − | 1.32414i | 0.996487 | − | 0.0837457i | ||||
\(251\) | −4.15249 | + | 0.597037i | −0.262103 | + | 0.0376847i | −0.272113 | − | 0.962265i | \(-0.587723\pi\) |
0.0100107 | + | 0.999950i | \(0.496813\pi\) | |||||||
\(252\) | −5.14325 | − | 20.1494i | −0.323994 | − | 1.26929i | ||||
\(253\) | −16.6268 | − | 7.11346i | −1.04532 | − | 0.447220i | ||||
\(254\) | 4.96901 | − | 18.1135i | 0.311784 | − | 1.13654i | ||||
\(255\) | 3.63522 | − | 0.515969i | 0.227646 | − | 0.0323112i | ||||
\(256\) | 8.65132 | + | 13.4594i | 0.540708 | + | 0.841211i | ||||
\(257\) | 5.07062 | − | 9.28615i | 0.316297 | − | 0.579254i | −0.670366 | − | 0.742030i | \(-0.733863\pi\) |
0.986663 | + | 0.162776i | \(0.0520449\pi\) | |||||||
\(258\) | −0.379421 | + | 1.90758i | −0.0236217 | + | 0.118761i | ||||
\(259\) | 35.8863 | + | 10.5372i | 2.22987 | + | 0.654748i | ||||
\(260\) | −11.4939 | + | 12.3012i | −0.712819 | + | 0.762886i | ||||
\(261\) | −7.75131 | − | 16.9730i | −0.479794 | − | 1.05060i | ||||
\(262\) | −12.3464 | − | 4.35542i | −0.762762 | − | 0.269079i | ||||
\(263\) | −2.27280 | + | 0.494416i | −0.140147 | + | 0.0304870i | −0.282091 | − | 0.959388i | \(-0.591028\pi\) |
0.141945 | + | 0.989875i | \(0.454664\pi\) | |||||||
\(264\) | −2.63179 | + | 1.89791i | −0.161975 | + | 0.116808i | ||||
\(265\) | 18.9776 | − | 14.1531i | 1.16579 | − | 0.869418i | ||||
\(266\) | −9.47120 | + | 8.50769i | −0.580716 | + | 0.521640i | ||||
\(267\) | 0.191695 | − | 2.68024i | 0.0117315 | − | 0.164028i | ||||
\(268\) | −17.5978 | − | 21.8367i | −1.07496 | − | 1.33389i | ||||
\(269\) | 5.81472 | + | 9.04788i | 0.354530 | + | 0.551659i | 0.972014 | − | 0.234925i | \(-0.0754843\pi\) |
−0.617484 | + | 0.786583i | \(0.711848\pi\) | |||||||
\(270\) | 2.99541 | − | 4.82970i | 0.182295 | − | 0.293926i | ||||
\(271\) | 5.68144 | + | 4.92299i | 0.345123 | + | 0.299051i | 0.810123 | − | 0.586260i | \(-0.199400\pi\) |
−0.465000 | + | 0.885311i | \(0.653946\pi\) | |||||||
\(272\) | 21.5896 | 0.000858085i | 1.30906 | 5.20290e-5i | ||||||
\(273\) | −3.83742 | + | 1.43128i | −0.232251 | + | 0.0866253i | ||||
\(274\) | 0.731640 | − | 5.82544i | 0.0442000 | − | 0.351927i | ||||
\(275\) | −0.0680754 | + | 18.8543i | −0.00410510 | + | 1.13696i | ||||
\(276\) | −2.88331 | − | 0.448599i | −0.173555 | − | 0.0270025i | ||||
\(277\) | −19.1989 | + | 19.1989i | −1.15355 | + | 1.15355i | −0.167711 | + | 0.985836i | \(0.553638\pi\) |
−0.985836 | + | 0.167711i | \(0.946362\pi\) | |||||||
\(278\) | −12.3169 | + | 9.56823i | −0.738717 | + | 0.573865i | ||||
\(279\) | −7.90809 | + | 17.3163i | −0.473445 | + | 1.03670i | ||||
\(280\) | 19.6349 | + | 11.2272i | 1.17341 | + | 0.670952i | ||||
\(281\) | 14.8498 | − | 17.1376i | 0.885867 | − | 1.02234i | −0.113717 | − | 0.993513i | \(-0.536276\pi\) |
0.999584 | − | 0.0288317i | \(-0.00917870\pi\) | |||||||
\(282\) | −0.365735 | − | 1.54765i | −0.0217792 | − | 0.0921610i | ||||
\(283\) | 6.00546 | − | 27.6067i | 0.356988 | − | 1.64105i | −0.352127 | − | 0.935952i | \(-0.614541\pi\) |
0.709115 | − | 0.705093i | \(-0.249095\pi\) | |||||||
\(284\) | −0.905100 | + | 8.42024i | −0.0537078 | + | 0.499649i | ||||
\(285\) | −1.70782 | − | 0.125245i | −0.101162 | − | 0.00741886i | ||||
\(286\) | −13.4155 | − | 14.9348i | −0.793274 | − | 0.883113i | ||||
\(287\) | −20.6891 | + | 15.4877i | −1.22124 | + | 0.914209i | ||||
\(288\) | 10.5463 | − | 12.6206i | 0.621447 | − | 0.743677i | ||||
\(289\) | 6.55904 | − | 10.2061i | 0.385826 | − | 0.600357i | ||||
\(290\) | 19.1264 | + | 6.78606i | 1.12314 | + | 0.398491i | ||||
\(291\) | 1.25584 | − | 0.573524i | 0.0736188 | − | 0.0336206i | ||||
\(292\) | 7.76989 | − | 8.34578i | 0.454698 | − | 0.488400i | ||||
\(293\) | 3.36376 | + | 6.16027i | 0.196513 | + | 0.359887i | 0.957291 | − | 0.289125i | \(-0.0933643\pi\) |
−0.760778 | + | 0.649012i | \(0.775182\pi\) | |||||||
\(294\) | 1.38385 | + | 2.07103i | 0.0807077 | + | 0.120785i | ||||
\(295\) | −4.29275 | + | 1.25205i | −0.249934 | + | 0.0728973i | ||||
\(296\) | 9.84183 | + | 27.8953i | 0.572045 | + | 1.62138i | ||||
\(297\) | 5.42524 | + | 4.06128i | 0.314804 | + | 0.235660i | ||||
\(298\) | 15.3572 | − | 8.74526i | 0.889618 | − | 0.506599i | ||||
\(299\) | 0.853042 | − | 18.0337i | 0.0493327 | − | 1.04292i | ||||
\(300\) | 0.741773 | + | 2.95041i | 0.0428263 | + | 0.170342i | ||||
\(301\) | 2.30079 | + | 16.0023i | 0.132615 | + | 0.922360i | ||||
\(302\) | 1.32531 | + | 14.8084i | 0.0762633 | + | 0.852127i | ||||
\(303\) | 1.88897 | − | 3.45938i | 0.108518 | − | 0.198736i | ||||
\(304\) | −9.83905 | − | 2.13995i | −0.564308 | − | 0.122734i | ||||
\(305\) | −2.41424 | − | 0.713622i | −0.138239 | − | 0.0408619i | ||||
\(306\) | −6.63172 | − | 21.1788i | −0.379110 | − | 1.21071i | ||||
\(307\) | 0.326200 | − | 0.874576i | 0.0186172 | − | 0.0499147i | −0.927309 | − | 0.374298i | \(-0.877884\pi\) |
0.945926 | + | 0.324383i | \(0.105157\pi\) | |||||||
\(308\) | −15.3818 | + | 22.1550i | −0.876461 | + | 1.26240i | ||||
\(309\) | 1.56300 | − | 2.43208i | 0.0889160 | − | 0.138356i | ||||
\(310\) | −7.54620 | − | 19.2810i | −0.428595 | − | 1.09509i | ||||
\(311\) | −13.0089 | − | 1.87040i | −0.737667 | − | 0.106060i | −0.236768 | − | 0.971566i | \(-0.576088\pi\) |
−0.500899 | + | 0.865506i | \(0.666997\pi\) | |||||||
\(312\) | −2.69338 | − | 1.79954i | −0.152483 | − | 0.101879i | ||||
\(313\) | −1.08310 | + | 15.1437i | −0.0612204 | + | 0.855974i | 0.870355 | + | 0.492425i | \(0.163889\pi\) |
−0.931575 | + | 0.363548i | \(0.881565\pi\) | |||||||
\(314\) | −2.51473 | − | 15.5176i | −0.141914 | − | 0.875711i | ||||
\(315\) | 4.98315 | − | 22.7097i | 0.280769 | − | 1.27955i | ||||
\(316\) | −6.09703 | + | 5.67676i | −0.342985 | + | 0.319343i | ||||
\(317\) | −1.65670 | − | 23.1637i | −0.0930495 | − | 1.30100i | −0.802672 | − | 0.596420i | \(-0.796589\pi\) |
0.709623 | − | 0.704582i | \(-0.248865\pi\) | |||||||
\(318\) | 3.27792 | + | 3.16288i | 0.183817 | + | 0.177365i | ||||
\(319\) | −10.0533 | + | 22.0136i | −0.562874 | + | 1.23252i | ||||
\(320\) | 1.88115 | + | 17.7894i | 0.105159 | + | 0.994455i | ||||
\(321\) | 5.50176 | 0.307078 | ||||||||
\(322\) | −23.8422 | + | 4.45670i | −1.32868 | + | 0.248362i | ||||
\(323\) | −9.60726 | + | 9.60726i | −0.534562 | + | 0.534562i | ||||
\(324\) | −15.1067 | − | 6.25704i | −0.839259 | − | 0.347613i | ||||
\(325\) | −17.6593 | + | 6.51405i | −0.979563 | + | 0.361335i | ||||
\(326\) | 11.5512 | − | 0.206326i | 0.639764 | − | 0.0114273i | ||||
\(327\) | −0.142435 | + | 0.0101871i | −0.00787666 | + | 0.000563350i | ||||
\(328\) | −19.5062 | − | 6.10713i | −1.07705 | − | 0.337210i | ||||
\(329\) | −7.14662 | − | 11.1204i | −0.394006 | − | 0.613085i | ||||
\(330\) | −3.58206 | + | 0.573860i | −0.197186 | + | 0.0315900i | ||||
\(331\) | 1.77479 | − | 1.53787i | 0.0975513 | − | 0.0845287i | −0.604720 | − | 0.796438i | \(-0.706715\pi\) |
0.702271 | + | 0.711910i | \(0.252169\pi\) | |||||||
\(332\) | −9.31526 | + | 27.9897i | −0.511241 | + | 1.53614i | ||||
\(333\) | 24.3420 | − | 18.2222i | 1.33394 | − | 0.998571i | ||||
\(334\) | −26.9610 | − | 11.7354i | −1.47524 | − | 0.642131i | ||||
\(335\) | −6.60973 | − | 30.6507i | −0.361128 | − | 1.67463i | ||||
\(336\) | −1.52067 | + | 4.07756i | −0.0829591 | + | 0.222449i | ||||
\(337\) | 23.8104 | + | 8.88084i | 1.29704 | + | 0.483770i | 0.900743 | − | 0.434353i | \(-0.143023\pi\) |
0.396295 | + | 0.918123i | \(0.370296\pi\) | |||||||
\(338\) | 0.767824 | − | 1.46790i | 0.0417641 | − | 0.0798430i | ||||
\(339\) | 0.883390 | + | 0.259387i | 0.0479792 | + | 0.0140880i | ||||
\(340\) | 21.5654 | + | 10.8431i | 1.16955 | + | 0.588048i | ||||
\(341\) | 23.6899 | − | 6.95598i | 1.28288 | − | 0.376688i | ||||
\(342\) | 0.922647 | + | 10.3092i | 0.0498910 | + | 0.557457i | ||||
\(343\) | −3.46572 | − | 2.59441i | −0.187131 | − | 0.140085i | ||||
\(344\) | −9.20098 | + | 8.87876i | −0.496083 | + | 0.478711i | ||||
\(345\) | −2.65470 | − | 1.89630i | −0.142924 | − | 0.102094i | ||||
\(346\) | 4.84006 | − | 17.6435i | 0.260203 | − | 0.948518i | ||||
\(347\) | −12.3388 | + | 16.4827i | −0.662382 | + | 0.884839i | −0.998373 | − | 0.0570262i | \(-0.981838\pi\) |
0.335990 | + | 0.941865i | \(0.390929\pi\) | |||||||
\(348\) | −0.693238 | + | 3.84280i | −0.0371615 | + | 0.205996i | ||||
\(349\) | −5.52014 | − | 18.7999i | −0.295486 | − | 1.00633i | −0.964719 | − | 0.263281i | \(-0.915195\pi\) |
0.669233 | − | 0.743053i | \(-0.266623\pi\) | |||||||
\(350\) | 13.9733 | + | 21.0765i | 0.746907 | + | 1.12659i | ||||
\(351\) | −1.90605 | + | 6.49141i | −0.101737 | + | 0.346486i | ||||
\(352\) | −21.3280 | + | 0.381804i | −1.13678 | + | 0.0203502i | ||||
\(353\) | 4.11715 | − | 11.0385i | 0.219134 | − | 0.587521i | −0.780141 | − | 0.625604i | \(-0.784852\pi\) |
0.999275 | + | 0.0380833i | \(0.0121252\pi\) | |||||||
\(354\) | −0.371331 | − | 0.776114i | −0.0197360 | − | 0.0412500i | ||||
\(355\) | −5.13334 | + | 7.95602i | −0.272450 | + | 0.422262i | ||||
\(356\) | 11.0841 | − | 13.7551i | 0.587458 | − | 0.729021i | ||||
\(357\) | 3.51909 | + | 4.70095i | 0.186250 | + | 0.248801i | ||||
\(358\) | −0.541267 | + | 10.0999i | −0.0286069 | + | 0.533798i | ||||
\(359\) | −15.6354 | − | 18.0443i | −0.825207 | − | 0.952340i | 0.174269 | − | 0.984698i | \(-0.444244\pi\) |
−0.999476 | + | 0.0323585i | \(0.989698\pi\) | |||||||
\(360\) | 16.8733 | − | 7.30907i | 0.889300 | − | 0.385222i | ||||
\(361\) | −10.6531 | + | 6.84633i | −0.560689 | + | 0.360333i | ||||
\(362\) | −1.97242 | − | 8.34653i | −0.103668 | − | 0.438684i | ||||
\(363\) | −0.0698754 | − | 0.976985i | −0.00366751 | − | 0.0512784i | ||||
\(364\) | −26.0891 | − | 6.65830i | −1.36744 | − | 0.348990i | ||||
\(365\) | 11.9529 | − | 4.43364i | 0.625643 | − | 0.232067i | ||||
\(366\) | 0.0603617 | − | 0.480610i | 0.00315516 | − | 0.0251219i | ||||
\(367\) | −5.34779 | − | 5.34779i | −0.279153 | − | 0.279153i | 0.553618 | − | 0.832771i | \(-0.313247\pi\) |
−0.832771 | + | 0.553618i | \(0.813247\pi\) | |||||||
\(368\) | −13.8886 | − | 13.2328i | −0.723991 | − | 0.689810i | ||||
\(369\) | 21.0109i | 1.09378i | ||||||||
\(370\) | −4.18051 | + | 32.8068i | −0.217334 | + | 1.70554i | ||||
\(371\) | 34.4413 | + | 15.7288i | 1.78810 | + | 0.816599i | ||||
\(372\) | 3.42609 | − | 2.03289i | 0.177635 | − | 0.105400i | ||||
\(373\) | 4.93744 | − | 0.353133i | 0.255651 | − | 0.0182845i | 0.0570746 | − | 0.998370i | \(-0.481823\pi\) |
0.198577 | + | 0.980085i | \(0.436368\pi\) | |||||||
\(374\) | −15.1266 | + | 24.4883i | −0.782179 | + | 1.26626i | ||||
\(375\) | −0.740990 | + | 3.31962i | −0.0382646 | + | 0.171424i | ||||
\(376\) | 3.82750 | − | 9.72885i | 0.197388 | − | 0.501727i | ||||
\(377\) | −24.0979 | − | 1.72351i | −1.24110 | − | 0.0887655i | ||||
\(378\) | 9.07631 | + | 0.486410i | 0.466835 | + | 0.0250182i | ||||
\(379\) | 4.05310 | − | 28.1899i | 0.208194 | − | 1.44802i | −0.570852 | − | 0.821053i | \(-0.693387\pi\) |
0.779046 | − | 0.626967i | \(-0.215704\pi\) | |||||||
\(380\) | −8.75299 | − | 7.07942i | −0.449019 | − | 0.363166i | ||||
\(381\) | 3.39909 | + | 2.18446i | 0.174140 | + | 0.111913i | ||||
\(382\) | 20.6050 | + | 7.26881i | 1.05424 | + | 0.371905i | ||||
\(383\) | 15.2839 | + | 5.70060i | 0.780971 | + | 0.291287i | 0.708154 | − | 0.706058i | \(-0.249528\pi\) |
0.0728173 | + | 0.997345i | \(0.476801\pi\) | |||||||
\(384\) | −3.31918 | + | 0.910822i | −0.169381 | + | 0.0464802i | ||||
\(385\) | −26.4922 | + | 14.4038i | −1.35017 | + | 0.734086i | ||||
\(386\) | −6.64074 | − | 9.93836i | −0.338005 | − | 0.505849i | ||||
\(387\) | 11.5358 | + | 6.29904i | 0.586399 | + | 0.320198i | ||||
\(388\) | 8.93211 | + | 1.61135i | 0.453459 | + | 0.0818037i | ||||
\(389\) | −17.5157 | + | 2.51838i | −0.888084 | + | 0.127687i | −0.571233 | − | 0.820788i | \(-0.693535\pi\) |
−0.316851 | + | 0.948475i | \(0.602626\pi\) | |||||||
\(390\) | −1.78644 | − | 3.15031i | −0.0904600 | − | 0.159522i | ||||
\(391\) | −25.1534 | + | 6.11099i | −1.27206 | + | 0.309046i | ||||
\(392\) | −0.291790 | + | 16.3724i | −0.0147376 | + | 0.826932i | ||||
\(393\) | 1.68777 | − | 2.25460i | 0.0851368 | − | 0.113729i | ||||
\(394\) | 7.73538 | − | 9.25607i | 0.389703 | − | 0.466314i | ||||
\(395\) | −8.94137 | + | 2.60790i | −0.449889 | + | 0.131218i | ||||
\(396\) | 6.92506 | + | 20.8051i | 0.347997 | + | 1.04550i | ||||
\(397\) | −20.5893 | + | 11.2426i | −1.03335 | + | 0.564250i | −0.904081 | − | 0.427360i | \(-0.859444\pi\) |
−0.129265 | + | 0.991610i | \(0.541262\pi\) | |||||||
\(398\) | 0.824559 | + | 0.431309i | 0.0413314 | + | 0.0216196i | ||||
\(399\) | −1.13770 | − | 2.49122i | −0.0569564 | − | 0.124717i | ||||
\(400\) | −7.05615 | + | 18.7139i | −0.352808 | + | 0.935696i | ||||
\(401\) | −21.5340 | − | 13.8390i | −1.07536 | − | 0.691089i | −0.121875 | − | 0.992545i | \(-0.538891\pi\) |
−0.953480 | + | 0.301457i | \(0.902527\pi\) | |||||||
\(402\) | 5.61405 | − | 2.20893i | 0.280004 | − | 0.110171i | ||||
\(403\) | 14.7711 | + | 19.7318i | 0.735799 | + | 0.982912i | ||||
\(404\) | 23.1710 | − | 11.5991i | 1.15280 | − | 0.577079i | ||||
\(405\) | −11.9467 | − | 13.8376i | −0.593635 | − | 0.687596i | ||||
\(406\) | 5.19228 | + | 32.0400i | 0.257689 | + | 1.59012i | ||||
\(407\) | −38.5359 | − | 8.38296i | −1.91015 | − | 0.415528i | ||||
\(408\) | −1.38765 | + | 4.43216i | −0.0686990 | + | 0.219425i | ||||
\(409\) | −2.73257 | − | 2.36779i | −0.135117 | − | 0.117079i | 0.584681 | − | 0.811264i | \(-0.301220\pi\) |
−0.719797 | + | 0.694184i | \(0.755765\pi\) | |||||||
\(410\) | −16.4165 | − | 15.8976i | −0.810751 | − | 0.785127i | ||||
\(411\) | 1.14887 | + | 0.524669i | 0.0566693 | + | 0.0258800i | ||||
\(412\) | 17.5590 | − | 7.27360i | 0.865071 | − | 0.358344i | ||||
\(413\) | −5.05697 | − | 5.05697i | −0.248837 | − | 0.248837i | ||||
\(414\) | −8.71556 | + | 17.6887i | −0.428346 | + | 0.869351i | ||||
\(415\) | −23.3632 | + | 23.2790i | −1.14685 | + | 1.14272i | ||||
\(416\) | −7.79783 | − | 19.8161i | −0.382320 | − | 0.971565i | ||||
\(417\) | −1.17250 | − | 3.14358i | −0.0574173 | − | 0.153942i | ||||
\(418\) | 9.32131 | − | 9.66036i | 0.455920 | − | 0.472504i | ||||
\(419\) | 17.7804 | − | 20.5197i | 0.868629 | − | 1.00245i | −0.131310 | − | 0.991341i | \(-0.541918\pi\) |
0.999938 | − | 0.0111095i | \(-0.00353634\pi\) | |||||||
\(420\) | −3.56699 | + | 3.30911i | −0.174051 | + | 0.161468i | ||||
\(421\) | 4.04349 | − | 2.59859i | 0.197068 | − | 0.126648i | −0.438386 | − | 0.898787i | \(-0.644450\pi\) |
0.635453 | + | 0.772139i | \(0.280813\pi\) | |||||||
\(422\) | −6.15841 | − | 4.44075i | −0.299787 | − | 0.216172i | ||||
\(423\) | −10.7194 | − | 0.766665i | −0.521194 | − | 0.0372766i | ||||
\(424\) | 5.84297 | + | 29.3700i | 0.283760 | + | 1.42633i | ||||
\(425\) | 16.0946 | + | 21.6625i | 0.780703 | + | 1.05078i | ||||
\(426\) | −1.67040 | − | 0.727078i | −0.0809310 | − | 0.0352270i | ||||
\(427\) | −0.855861 | − | 3.93433i | −0.0414180 | − | 0.190395i | ||||
\(428\) | 29.7106 | + | 20.6276i | 1.43612 | + | 0.997072i | ||||
\(429\) | 3.92832 | − | 1.79400i | 0.189661 | − | 0.0866154i | ||||
\(430\) | −13.6501 | + | 4.24721i | −0.658264 | + | 0.204819i | ||||
\(431\) | −1.17819 | + | 4.01254i | −0.0567513 | + | 0.193277i | −0.982990 | − | 0.183661i | \(-0.941205\pi\) |
0.926238 | + | 0.376939i | \(0.123023\pi\) | |||||||
\(432\) | 3.88675 | + | 6.04738i | 0.187002 | + | 0.290955i | ||||
\(433\) | −21.0584 | − | 11.4988i | −1.01200 | − | 0.552595i | −0.114415 | − | 0.993433i | \(-0.536499\pi\) |
−0.897587 | + | 0.440838i | \(0.854681\pi\) | |||||||
\(434\) | 21.2350 | − | 25.4096i | 1.01931 | − | 1.21970i | ||||
\(435\) | −2.62259 | + | 3.49022i | −0.125744 | + | 0.167343i | ||||
\(436\) | −0.807371 | − | 0.479014i | −0.0386661 | − | 0.0229406i | ||||
\(437\) | 12.0689 | − | 0.291308i | 0.577333 | − | 0.0139351i | ||||
\(438\) | 1.21383 | + | 2.13155i | 0.0579990 | + | 0.101850i | ||||
\(439\) | 0.967964 | + | 6.73234i | 0.0461984 | + | 0.321317i | 0.999795 | + | 0.0202308i | \(0.00644009\pi\) |
−0.953597 | + | 0.301086i | \(0.902651\pi\) | |||||||
\(440\) | −21.4954 | − | 10.3311i | −1.02475 | − | 0.492518i | ||||
\(441\) | 16.1507 | − | 4.74227i | 0.769080 | − | 0.225822i | ||||
\(442\) | −28.1826 | − | 5.60557i | −1.34051 | − | 0.266630i | ||||
\(443\) | −0.304725 | + | 0.166392i | −0.0144779 | + | 0.00790554i | −0.486472 | − | 0.873696i | \(-0.661716\pi\) |
0.471994 | + | 0.881602i | \(0.343534\pi\) | |||||||
\(444\) | −6.35924 | + | 0.227247i | −0.301796 | + | 0.0107847i | ||||
\(445\) | 17.9804 | − | 8.17215i | 0.852350 | − | 0.387397i | ||||
\(446\) | −10.7832 | − | 22.5378i | −0.510600 | − | 1.06720i | ||||
\(447\) | 0.808110 | + | 3.71482i | 0.0382223 | + | 0.175705i | ||||
\(448\) | −23.4998 | + | 16.3183i | −1.11026 | + | 0.770965i | ||||
\(449\) | −0.248293 | − | 0.0356992i | −0.0117177 | − | 0.00168475i | 0.136453 | − | 0.990646i | \(-0.456430\pi\) |
−0.148171 | + | 0.988962i | \(0.547339\pi\) | |||||||
\(450\) | 20.5252 | + | 1.17430i | 0.967567 | + | 0.0553573i | ||||
\(451\) | 20.5947 | − | 17.8454i | 0.969765 | − | 0.840306i | ||||
\(452\) | 3.79798 | + | 4.71281i | 0.178642 | + | 0.221672i | ||||
\(453\) | −3.12519 | − | 0.679843i | −0.146834 | − | 0.0319418i | ||||
\(454\) | −9.47539 | + | 15.3396i | −0.444702 | + | 0.719923i | ||||
\(455\) | −22.7151 | − | 19.7546i | −1.06490 | − | 0.926112i | ||||
\(456\) | 1.07178 | − | 1.88229i | 0.0501908 | − | 0.0881461i | ||||
\(457\) | 11.7770 | + | 31.5754i | 0.550906 | + | 1.47704i | 0.852051 | + | 0.523458i | \(0.175358\pi\) |
−0.301145 | + | 0.953578i | \(0.597369\pi\) | |||||||
\(458\) | 0.0633496 | + | 0.0815479i | 0.00296013 | + | 0.00381048i | ||||
\(459\) | 9.70010 | 0.452762 | ||||||||
\(460\) | −7.22618 | − | 20.1936i | −0.336922 | − | 0.941532i | ||||
\(461\) | −12.6013 | −0.586903 | −0.293451 | − | 0.955974i | \(-0.594804\pi\) | ||||
−0.293451 | + | 0.955974i | \(0.594804\pi\) | |||||||
\(462\) | −3.55939 | − | 4.58189i | −0.165598 | − | 0.213169i | ||||
\(463\) | −5.18274 | − | 13.8955i | −0.240862 | − | 0.645777i | 0.759124 | − | 0.650946i | \(-0.225627\pi\) |
−0.999987 | + | 0.00516900i | \(0.998355\pi\) | |||||||
\(464\) | −18.1513 | + | 18.1528i | −0.842654 | + | 0.842721i | ||||
\(465\) | 4.44325 | − | 0.309726i | 0.206051 | − | 0.0143632i | ||||
\(466\) | −4.96183 | + | 8.03265i | −0.229852 | + | 0.372105i | ||||
\(467\) | 12.0550 | + | 2.62239i | 0.557837 | + | 0.121350i | 0.482640 | − | 0.875819i | \(-0.339678\pi\) |
0.0751966 | + | 0.997169i | \(0.476042\pi\) | |||||||
\(468\) | −17.0443 | + | 13.7357i | −0.787872 | + | 0.634933i | ||||
\(469\) | 37.8992 | − | 32.8398i | 1.75002 | − | 1.51640i | ||||
\(470\) | 8.70970 | − | 7.79529i | 0.401748 | − | 0.359570i | ||||
\(471\) | 3.34725 | + | 0.481262i | 0.154233 | + | 0.0221754i | ||||
\(472\) | 0.904596 | − | 5.58339i | 0.0416374 | − | 0.256997i | ||||
\(473\) | −3.62358 | − | 16.6573i | −0.166612 | − | 0.765904i | ||||
\(474\) | −0.773445 | − | 1.61657i | −0.0355255 | − | 0.0742513i | ||||
\(475\) | −5.18719 | − | 11.4677i | −0.238004 | − | 0.526176i | ||||
\(476\) | 1.37866 | + | 38.5801i | 0.0631908 | + | 1.76832i | ||||
\(477\) | 27.0169 | − | 14.7523i | 1.23702 | − | 0.675463i | ||||
\(478\) | −19.9579 | − | 3.96968i | −0.912855 | − | 0.181569i | ||||
\(479\) | −26.1136 | + | 7.66763i | −1.19316 | + | 0.350343i | −0.817233 | − | 0.576307i | \(-0.804493\pi\) |
−0.375925 | + | 0.926650i | \(0.622675\pi\) | |||||||
\(480\) | −3.77288 | − | 0.757361i | −0.172208 | − | 0.0345686i | ||||
\(481\) | −5.60296 | − | 38.9694i | −0.255473 | − | 1.77685i | ||||
\(482\) | −11.7030 | − | 20.5512i | −0.533058 | − | 0.936081i | ||||
\(483\) | 0.617721 | − | 5.18103i | 0.0281073 | − | 0.235745i | ||||
\(484\) | 3.28564 | − | 5.53790i | 0.149347 | − | 0.251723i | ||||
\(485\) | 8.11258 | + | 6.09589i | 0.368373 | + | 0.276800i | ||||
\(486\) | 7.14505 | − | 8.54969i | 0.324106 | − | 0.387822i | ||||
\(487\) | −7.27422 | − | 3.97203i | −0.329626 | − | 0.179990i | 0.305910 | − | 0.952060i | \(-0.401039\pi\) |
−0.635537 | + | 0.772071i | \(0.719221\pi\) | |||||||
\(488\) | 2.12790 | − | 2.36908i | 0.0963256 | − | 0.107243i | ||||
\(489\) | −0.700182 | + | 2.38460i | −0.0316633 | + | 0.107835i | ||||
\(490\) | −8.51492 | + | 16.2072i | −0.384665 | + | 0.732166i | ||||
\(491\) | 15.4224 | − | 7.04319i | 0.696005 | − | 0.317855i | −0.0358097 | − | 0.999359i | \(-0.511401\pi\) |
0.731814 | + | 0.681504i | \(0.238674\pi\) | |||||||
\(492\) | 2.50762 | − | 3.61182i | 0.113052 | − | 0.162833i | ||||
\(493\) | 7.36305 | + | 33.8474i | 0.331615 | + | 1.52441i | ||||
\(494\) | 12.2878 | + | 5.34856i | 0.552856 | + | 0.240643i | ||||
\(495\) | −3.53272 | + | 24.2596i | −0.158784 | + | 1.09039i | ||||
\(496\) | 26.1235 | + | 1.86734i | 1.17298 | + | 0.0838462i | ||||
\(497\) | −15.1045 | − | 1.08030i | −0.677530 | − | 0.0484579i | ||||
\(498\) | −5.14717 | − | 3.71156i | −0.230650 | − | 0.166319i | ||||
\(499\) | −31.4504 | + | 20.2120i | −1.40791 | + | 0.904812i | −0.999966 | − | 0.00819361i | \(-0.997392\pi\) |
−0.407948 | + | 0.913005i | \(0.633755\pi\) | |||||||
\(500\) | −16.4476 | + | 15.1484i | −0.735561 | + | 0.677459i | ||||
\(501\) | 4.14225 | − | 4.78042i | 0.185062 | − | 0.213573i | ||||
\(502\) | 4.11960 | − | 4.26944i | 0.183867 | − | 0.190554i | ||||
\(503\) | −4.60444 | − | 12.3450i | −0.205302 | − | 0.550436i | 0.792966 | − | 0.609266i | \(-0.208536\pi\) |
−0.998268 | + | 0.0588300i | \(0.981263\pi\) | |||||||
\(504\) | 23.2255 | + | 18.0410i | 1.03454 | + | 0.803609i | ||||
\(505\) | 28.9705 | + | 0.0523002i | 1.28917 | + | 0.00232733i | ||||
\(506\) | 24.7407 | − | 6.48077i | 1.09986 | − | 0.288106i | ||||
\(507\) | 0.251985 | + | 0.251985i | 0.0111910 | + | 0.0111910i | ||||
\(508\) | 10.1656 | + | 24.5406i | 0.451027 | + | 1.08881i | ||||
\(509\) | 38.5836 | + | 17.6205i | 1.71019 | + | 0.781016i | 0.996773 | + | 0.0802728i | \(0.0255792\pi\) |
0.713414 | + | 0.700743i | \(0.247148\pi\) | |||||||
\(510\) | −3.61223 | + | 3.73012i | −0.159952 | + | 0.165173i | ||||
\(511\) | 15.4093 | + | 13.3523i | 0.681669 | + | 0.590670i | ||||
\(512\) | −21.3392 | − | 7.52589i | −0.943068 | − | 0.332601i | ||||
\(513\) | −4.42060 | − | 0.961642i | −0.195174 | − | 0.0424575i | ||||
\(514\) | 2.39360 | + | 14.7702i | 0.105577 | + | 0.651485i | ||||
\(515\) | 21.1923 | + | 1.55417i | 0.933846 | + | 0.0684847i | ||||
\(516\) | −1.23125 | − | 2.45960i | −0.0542028 | − | 0.108278i | ||||
\(517\) | 8.35291 | + | 11.1582i | 0.367361 | + | 0.490736i | ||||
\(518\) | −49.2205 | + | 19.3665i | −2.16262 | + | 0.850914i | ||||
\(519\) | 3.31087 | + | 2.12777i | 0.145331 | + | 0.0933987i | ||||
\(520\) | 2.16420 | − | 23.7102i | 0.0949066 | − | 1.03976i | ||||
\(521\) | 11.6649 | + | 25.5427i | 0.511051 | + | 1.11904i | 0.972718 | + | 0.231991i | \(0.0745242\pi\) |
−0.461667 | + | 0.887053i | \(0.652749\pi\) | |||||||
\(522\) | 23.3824 | + | 12.2308i | 1.02342 | + | 0.535329i | ||||
\(523\) | 1.53780 | − | 0.839700i | 0.0672431 | − | 0.0367175i | −0.445276 | − | 0.895394i | \(-0.646894\pi\) |
0.512519 | + | 0.858676i | \(0.328713\pi\) | |||||||
\(524\) | 17.5674 | − | 5.84738i | 0.767436 | − | 0.255444i | ||||
\(525\) | −5.22500 | + | 1.51373i | −0.228038 | + | 0.0660645i | ||||
\(526\) | 2.10935 | − | 2.52403i | 0.0919722 | − | 0.110053i | ||||
\(527\) | 21.1783 | − | 28.2909i | 0.922540 | − | 1.23237i | ||||
\(528\) | 1.29263 | − | 4.40293i | 0.0562544 | − | 0.191613i | ||||
\(529\) | 19.9262 | + | 11.4868i | 0.866358 | + | 0.499424i | ||||
\(530\) | −8.91552 | + | 32.2713i | −0.387265 | + | 1.40177i | ||||
\(531\) | −5.75504 | + | 0.827450i | −0.249748 | + | 0.0359083i | ||||
\(532\) | 3.19644 | − | 17.7187i | 0.138583 | − | 0.768202i | ||||
\(533\) | 23.8767 | + | 13.0377i | 1.03422 | + | 0.564724i | ||||
\(534\) | 2.11126 | + | 3.15966i | 0.0913632 | + | 0.136732i | ||||
\(535\) | 19.3160 | + | 35.5270i | 0.835104 | + | 1.53596i | ||||
\(536\) | 38.5989 | + | 9.11995i | 1.66722 | + | 0.393922i | ||||
\(537\) | −2.03861 | − | 0.760362i | −0.0879725 | − | 0.0328120i | ||||
\(538\) | −14.3438 | − | 5.06006i | −0.618407 | − | 0.218155i | ||||
\(539\) | −18.3657 | − | 11.8029i | −0.791067 | − | 0.508388i | ||||
\(540\) | 0.844872 | + | 7.99270i | 0.0363575 | + | 0.343951i | ||||
\(541\) | 3.51054 | − | 24.4163i | 0.150930 | − | 1.04974i | −0.763736 | − | 0.645529i | \(-0.776637\pi\) |
0.914666 | − | 0.404211i | \(-0.132454\pi\) | |||||||
\(542\) | −10.6163 | − | 0.568939i | −0.456009 | − | 0.0244380i | ||||
\(543\) | 1.84024 | + | 0.131617i | 0.0789723 | + | 0.00564821i | ||||
\(544\) | −24.1110 | + | 18.7319i | −1.03375 | + | 0.803124i | ||||
\(545\) | −0.565853 | − | 0.883990i | −0.0242385 | − | 0.0378660i | ||||
\(546\) | 3.04394 | − | 4.92780i | 0.130269 | − | 0.210890i | ||||
\(547\) | −4.39039 | + | 0.314007i | −0.187720 | + | 0.0134260i | −0.164882 | − | 0.986313i | \(-0.552724\pi\) |
−0.0228372 | + | 0.999739i | \(0.507270\pi\) | |||||||
\(548\) | 4.23698 | + | 7.14073i | 0.180995 | + | 0.305037i | ||||
\(549\) | −2.97757 | − | 1.35981i | −0.127080 | − | 0.0580354i | ||||
\(550\) | −16.2818 | − | 21.1160i | −0.694259 | − | 0.900388i | ||||
\(551\) | − | 16.1551i | − | 0.688231i | ||||||
\(552\) | 3.60934 | − | 2.00053i | 0.153624 | − | 0.0851481i | ||||
\(553\) | −10.5332 | − | 10.5332i | −0.447916 | − | 0.447916i | ||||
\(554\) | 4.78493 | − | 38.0984i | 0.203292 | − | 1.61865i | ||||
\(555\) | −6.46613 | − | 2.96710i | −0.274472 | − | 0.125946i | ||||
\(556\) | 5.45442 | − | 21.3720i | 0.231319 | − | 0.906374i | ||||
\(557\) | −2.40051 | − | 33.5636i | −0.101713 | − | 1.42213i | −0.750352 | − | 0.661038i | \(-0.770116\pi\) |
0.648639 | − | 0.761096i | \(-0.275338\pi\) | |||||||
\(558\) | −6.19154 | − | 26.2002i | −0.262109 | − | 1.10914i | ||||
\(559\) | 14.3164 | − | 9.20059i | 0.605519 | − | 0.389144i | ||||
\(560\) | −31.6692 | + | 4.49629i | −1.33827 | + | 0.190003i | ||||
\(561\) | −4.05480 | − | 4.67949i | −0.171194 | − | 0.197568i | ||||
\(562\) | −1.71616 | + | 32.0232i | −0.0723919 | + | 1.35082i | ||||
\(563\) | −6.57319 | − | 8.78075i | −0.277027 | − | 0.370065i | 0.640351 | − | 0.768083i | \(-0.278789\pi\) |
−0.917378 | + | 0.398018i | \(0.869698\pi\) | |||||||
\(564\) | 1.75118 | + | 1.41114i | 0.0737381 | + | 0.0594195i | ||||
\(565\) | 1.42652 | + | 6.61506i | 0.0600140 | + | 0.278298i | ||||
\(566\) | 17.2442 | + | 36.0420i | 0.724830 | + | 1.51496i | ||||
\(567\) | 10.2176 | − | 27.3944i | 0.429098 | − | 1.15046i | ||||
\(568\) | −6.29448 | − | 10.1891i | −0.264111 | − | 0.427527i | ||||
\(569\) | 8.29960 | − | 28.2658i | 0.347937 | − | 1.18497i | −0.580744 | − | 0.814086i | \(-0.697238\pi\) |
0.928681 | − | 0.370879i | \(-0.120944\pi\) | |||||||
\(570\) | 2.01599 | − | 1.34181i | 0.0844403 | − | 0.0562022i | ||||
\(571\) | 11.1004 | + | 37.8046i | 0.464539 | + | 1.58207i | 0.775305 | + | 0.631587i | \(0.217596\pi\) |
−0.310766 | + | 0.950486i | \(0.600586\pi\) | |||||||
\(572\) | 27.9400 | + | 5.04035i | 1.16823 | + | 0.210748i | ||||
\(573\) | −2.81674 | + | 3.76272i | −0.117671 | + | 0.157190i | ||||
\(574\) | 9.66907 | − | 35.2467i | 0.403579 | − | 1.47117i | ||||
\(575\) | 2.92482 | − | 23.8001i | 0.121973 | − | 0.992533i | ||||
\(576\) | −0.828803 | + | 23.2448i | −0.0345335 | + | 0.968534i | ||||
\(577\) | 21.6244 | + | 16.1879i | 0.900237 | + | 0.673909i | 0.945694 | − | 0.325057i | \(-0.105384\pi\) |
−0.0454572 | + | 0.998966i | \(0.514474\pi\) | |||||||
\(578\) | 1.52942 | + | 17.0889i | 0.0636153 | + | 0.710805i | ||||
\(579\) | 2.46711 | − | 0.724410i | 0.102530 | − | 0.0301055i | ||||
\(580\) | −27.2483 | + | 9.01510i | −1.13142 | + | 0.374332i | ||||
\(581\) | −50.6113 | − | 14.8608i | −2.09971 | − | 0.616530i | ||||
\(582\) | −0.904967 | + | 1.73008i | −0.0375121 | + | 0.0717142i | ||||
\(583\) | −37.4066 | − | 13.9519i | −1.54922 | − | 0.577830i | ||||
\(584\) | −1.43685 | + | 16.0618i | −0.0594572 | + | 0.664642i | ||||
\(585\) | −23.9239 | + | 5.15912i | −0.989133 | + | 0.213303i | ||||
\(586\) | −9.10131 | − | 3.96155i | −0.375972 | − | 0.163650i | ||||
\(587\) | −14.3599 | + | 10.7497i | −0.592698 | + | 0.443688i | −0.853052 | − | 0.521825i | \(-0.825251\pi\) |
0.260355 | + | 0.965513i | \(0.416160\pi\) | |||||||
\(588\) | −3.34232 | − | 1.11236i | −0.137835 | − | 0.0458728i | ||||
\(589\) | −12.4562 | + | 10.7933i | −0.513248 | + | 0.444732i | ||||
\(590\) | 3.70796 | − | 5.12267i | 0.152654 | − | 0.210897i | ||||
\(591\) | 1.40292 | + | 2.18299i | 0.0577084 | + | 0.0897961i | ||||
\(592\) | −35.1932 | − | 22.6153i | −1.44643 | − | 0.929485i | ||||
\(593\) | 28.6609 | − | 2.04987i | 1.17696 | − | 0.0841780i | 0.530881 | − | 0.847446i | \(-0.321861\pi\) |
0.646081 | + | 0.763268i | \(0.276407\pi\) | |||||||
\(594\) | −9.58255 | + | 0.171162i | −0.393177 | + | 0.00702284i | ||||
\(595\) | −18.0008 | + | 39.2286i | −0.737959 | + | 1.60822i | ||||
\(596\) | −9.56391 | + | 23.0906i | −0.391753 | + | 0.945829i | ||||
\(597\) | −0.141547 | + | 0.141547i | −0.00579315 | + | 0.00579315i | ||||
\(598\) | 14.6932 | + | 20.8805i | 0.600848 | + | 0.853866i | ||||
\(599\) | 22.9162 | 0.936332 | 0.468166 | − | 0.883640i | \(-0.344915\pi\) | ||||
0.468166 | + | 0.883640i | \(0.344915\pi\) | |||||||
\(600\) | −3.38817 | − | 2.65152i | −0.138322 | − | 0.108248i | ||||
\(601\) | −11.0038 | + | 24.0949i | −0.448852 | + | 0.982850i | 0.541036 | + | 0.841000i | \(0.318032\pi\) |
−0.989888 | + | 0.141850i | \(0.954695\pi\) | |||||||
\(602\) | −16.4530 | − | 15.8756i | −0.670576 | − | 0.647041i | ||||
\(603\) | −2.90848 | − | 40.6659i | −0.118443 | − | 1.65604i | ||||
\(604\) | −14.3277 | − | 15.3885i | −0.582988 | − | 0.626148i | ||||
\(605\) | 6.06344 | − | 3.88129i | 0.246514 | − | 0.157797i | ||||
\(606\) | 0.891692 | + | 5.50236i | 0.0362225 | + | 0.223518i | ||||
\(607\) | −1.54401 | + | 21.5881i | −0.0626696 | + | 0.876235i | 0.864748 | + | 0.502207i | \(0.167478\pi\) |
−0.927417 | + | 0.374028i | \(0.877976\pi\) | |||||||
\(608\) | 12.8450 | − | 6.14633i | 0.520935 | − | 0.249267i | ||||
\(609\) | −6.91122 | − | 0.993683i | −0.280057 | − | 0.0402661i | ||||
\(610\) | 3.31540 | − | 1.29758i | 0.134237 | − | 0.0525377i | ||||
\(611\) | −7.52282 | + | 11.7057i | −0.304341 | + | 0.473563i | ||||
\(612\) | 25.7809 | + | 17.8993i | 1.04213 | + | 0.723535i | ||||
\(613\) | 2.35223 | − | 6.30658i | 0.0950057 | − | 0.254720i | −0.880750 | − | 0.473581i | \(-0.842961\pi\) |
0.975756 | + | 0.218860i | \(0.0702340\pi\) | |||||||
\(614\) | 0.394467 | + | 1.25975i | 0.0159194 | + | 0.0508394i | ||||
\(615\) | 4.31889 | − | 2.34818i | 0.174154 | − | 0.0946877i | ||||
\(616\) | −2.04271 | − | 38.0883i | −0.0823032 | − | 1.53462i | ||||
\(617\) | 4.05097 | − | 7.41879i | 0.163086 | − | 0.298669i | −0.783338 | − | 0.621596i | \(-0.786485\pi\) |
0.946424 | + | 0.322926i | \(0.104667\pi\) | |||||||
\(618\) | 0.364455 | + | 4.07223i | 0.0146605 | + | 0.163809i | ||||
\(619\) | −5.09057 | − | 35.4057i | −0.204607 | − | 1.42308i | −0.790389 | − | 0.612606i | \(-0.790121\pi\) |
0.585781 | − | 0.810469i | \(-0.300788\pi\) | |||||||
\(620\) | 25.1557 | + | 14.9864i | 1.01028 | + | 0.601867i | ||||
\(621\) | −6.23982 | − | 5.94569i | −0.250395 | − | 0.238592i | ||||
\(622\) | 16.1513 | − | 9.19750i | 0.647610 | − | 0.368786i | ||||
\(623\) | 25.2871 | + | 18.9297i | 1.01311 | + | 0.758403i | ||||
\(624\) | 4.56929 | − | 0.326984i | 0.182918 | − | 0.0130898i | ||||
\(625\) | −24.0376 | + | 6.86992i | −0.961502 | + | 0.274797i | ||||
\(626\) | −11.9289 | − | 17.8525i | −0.476775 | − | 0.713529i | ||||
\(627\) | 1.38397 | + | 2.53455i | 0.0552704 | + | 0.101220i | ||||
\(628\) | 16.2715 | + | 15.1487i | 0.649302 | + | 0.604497i | ||||
\(629\) | −51.3466 | + | 23.4492i | −2.04732 | + | 0.934981i | ||||
\(630\) | 14.1374 | + | 29.6860i | 0.563249 | + | 1.18272i | ||||
\(631\) | −7.07036 | + | 11.0017i | −0.281466 | + | 0.437970i | −0.952985 | − | 0.303017i | \(-0.902006\pi\) |
0.671519 | + | 0.740988i | \(0.265642\pi\) | |||||||
\(632\) | 1.88418 | − | 11.6296i | 0.0749488 | − | 0.462602i | ||||
\(633\) | 1.30751 | − | 0.978791i | 0.0519689 | − | 0.0389035i | ||||
\(634\) | 21.9468 | + | 24.4323i | 0.871619 | + | 0.970332i | ||||
\(635\) | −2.17211 | + | 29.6186i | −0.0861977 | + | 1.17538i | ||||
\(636\) | −6.40493 | − | 0.688472i | −0.253972 | − | 0.0272997i | ||||
\(637\) | 4.63271 | − | 21.2962i | 0.183555 | − | 0.843788i | ||||
\(638\) | −7.87107 | − | 33.3073i | −0.311619 | − | 1.31865i | ||||
\(639\) | −8.06213 | + | 9.30419i | −0.318933 | + | 0.368068i | ||||
\(640\) | −17.5348 | − | 18.2355i | −0.693123 | − | 0.720819i | ||||
\(641\) | 14.3083 | − | 31.3307i | 0.565143 | − | 1.23749i | −0.384201 | − | 0.923250i | \(-0.625523\pi\) |
0.949343 | − | 0.314241i | \(-0.101750\pi\) | |||||||
\(642\) | −6.14447 | + | 4.77327i | −0.242503 | + | 0.188386i | ||||
\(643\) | −8.82714 | + | 8.82714i | −0.348109 | + | 0.348109i | −0.859405 | − | 0.511296i | \(-0.829166\pi\) |
0.511296 | + | 0.859405i | \(0.329166\pi\) | |||||||
\(644\) | 22.7609 | − | 25.6626i | 0.896905 | − | 1.01125i | ||||
\(645\) | 0.00555167 | − | 3.07522i | 0.000218597 | − | 0.121087i | ||||
\(646\) | 2.39442 | − | 19.0648i | 0.0942071 | − | 0.750093i | ||||
\(647\) | 7.60011 | − | 2.83469i | 0.298791 | − | 0.111443i | −0.195598 | − | 0.980684i | \(-0.562665\pi\) |
0.494389 | + | 0.869241i | \(0.335392\pi\) | |||||||
\(648\) | 22.3000 | − | 6.11842i | 0.876026 | − | 0.240354i | ||||
\(649\) | 5.69904 | + | 4.93824i | 0.223707 | + | 0.193843i | ||||
\(650\) | 14.0708 | − | 22.5961i | 0.551901 | − | 0.886291i | ||||
\(651\) | 3.85127 | + | 5.99269i | 0.150943 | + | 0.234872i | ||||
\(652\) | −12.7216 | + | 10.2522i | −0.498218 | + | 0.401506i | ||||
\(653\) | 0.786788 | − | 11.0007i | 0.0307894 | − | 0.430492i | −0.958556 | − | 0.284904i | \(-0.908038\pi\) |
0.989345 | − | 0.145588i | \(-0.0465073\pi\) | |||||||
\(654\) | 0.150236 | − | 0.134952i | 0.00587468 | − | 0.00527705i | ||||
\(655\) | 20.4844 | + | 2.98296i | 0.800390 | + | 0.116554i | ||||
\(656\) | 27.0834 | − | 10.1028i | 1.05743 | − | 0.394448i | ||||
\(657\) | 16.1977 | − | 3.52358i | 0.631931 | − | 0.137468i | ||||
\(658\) | 17.6294 | + | 6.21910i | 0.687265 | + | 0.242446i | ||||
\(659\) | −12.0744 | − | 26.4393i | −0.470353 | − | 1.02993i | −0.985004 | − | 0.172529i | \(-0.944806\pi\) |
0.514652 | − | 0.857399i | \(-0.327921\pi\) | |||||||
\(660\) | 3.50264 | − | 3.74866i | 0.136340 | − | 0.145916i | ||||
\(661\) | −1.83638 | − | 0.539209i | −0.0714268 | − | 0.0209728i | 0.245824 | − | 0.969314i | \(-0.420941\pi\) |
−0.317251 | + | 0.948342i | \(0.602760\pi\) | |||||||
\(662\) | −0.647886 | + | 3.25731i | −0.0251808 | + | 0.126599i | ||||
\(663\) | 2.96240 | − | 5.42523i | 0.115050 | − | 0.210698i | ||||
\(664\) | −13.8802 | − | 39.3413i | −0.538654 | − | 1.52674i | ||||
\(665\) | 12.0924 | − | 16.0930i | 0.468925 | − | 0.624059i | ||||
\(666\) | −11.3763 | + | 41.4699i | −0.440821 | + | 1.60692i | ||||
\(667\) | 16.0104 | − | 26.2863i | 0.619924 | − | 1.01781i | ||||
\(668\) | 40.2921 | − | 10.2848i | 1.55895 | − | 0.397931i | ||||
\(669\) | 5.31993 | − | 0.764891i | 0.205681 | − | 0.0295724i | ||||
\(670\) | 33.9742 | + | 28.4968i | 1.31254 | + | 1.10093i | ||||
\(671\) | 1.19610 | + | 4.07353i | 0.0461748 | + | 0.157257i | ||||
\(672\) | −1.83934 | − | 5.87321i | −0.0709540 | − | 0.226564i | ||||
\(673\) | 2.27753 | + | 4.17099i | 0.0877925 | + | 0.160780i | 0.917886 | − | 0.396844i | \(-0.129895\pi\) |
−0.830093 | + | 0.557624i | \(0.811713\pi\) | |||||||
\(674\) | −34.2969 | + | 10.7394i | −1.32107 | + | 0.413667i | ||||
\(675\) | −3.17063 | + | 8.40794i | −0.122037 | + | 0.323622i | ||||
\(676\) | 0.416011 | + | 2.30553i | 0.0160004 | + | 0.0886743i | ||||
\(677\) | 26.1320 | − | 5.68466i | 1.00433 | − | 0.218479i | 0.319819 | − | 0.947479i | \(-0.396378\pi\) |
0.684514 | + | 0.728999i | \(0.260014\pi\) | |||||||
\(678\) | −1.21163 | + | 0.476732i | −0.0465323 | + | 0.0183088i | ||||
\(679\) | −2.30969 | + | 16.0643i | −0.0886379 | + | 0.616490i | ||||
\(680\) | −33.4920 | + | 6.60019i | −1.28436 | + | 0.253106i | ||||
\(681\) | −2.53995 | − | 2.93125i | −0.0973310 | − | 0.112326i | ||||
\(682\) | −20.4224 | + | 28.3217i | −0.782015 | + | 1.08449i | ||||
\(683\) | 2.76186 | − | 12.6961i | 0.105680 | − | 0.485801i | −0.893635 | − | 0.448794i | \(-0.851854\pi\) |
0.999315 | − | 0.0370075i | \(-0.0117825\pi\) | |||||||
\(684\) | −9.97458 | − | 10.7130i | −0.381388 | − | 0.409623i | ||||
\(685\) | 0.645538 | + | 9.26071i | 0.0246647 | + | 0.353834i | ||||
\(686\) | 6.12147 | − | 0.109340i | 0.233719 | − | 0.00417464i | ||||
\(687\) | −0.0208131 | + | 0.00776289i | −0.000794070 | + | 0.000296173i | ||||
\(688\) | 2.57271 | − | 17.8987i | 0.0980837 | − | 0.682380i | ||||
\(689\) | − | 39.8560i | − | 1.51839i | ||||||
\(690\) | 4.61004 | − | 0.185363i | 0.175501 | − | 0.00705666i | ||||
\(691\) | − | 43.5107i | − | 1.65523i | −0.561299 | − | 0.827613i | \(-0.689698\pi\) | ||
0.561299 | − | 0.827613i | \(-0.310302\pi\) | |||||||
\(692\) | 9.90181 | + | 23.9038i | 0.376411 | + | 0.908684i | ||||
\(693\) | −36.7365 | + | 13.7020i | −1.39551 | + | 0.520497i | ||||
\(694\) | −0.520015 | − | 29.1133i | −0.0197395 | − | 1.10513i | ||||
\(695\) | 16.1828 | − | 18.6080i | 0.613849 | − | 0.705841i | ||||
\(696\) | −2.55975 | − | 4.89316i | −0.0970272 | − | 0.185475i | ||||
\(697\) | 8.29106 | − | 38.1134i | 0.314046 | − | 1.44365i | ||||
\(698\) | 22.4756 | + | 16.2069i | 0.850714 | + | 0.613439i | ||||
\(699\) | −1.33005 | − | 1.53496i | −0.0503073 | − | 0.0580577i | ||||
\(700\) | −33.8915 | − | 11.4155i | −1.28098 | − | 0.431465i | ||||
\(701\) | −1.42450 | + | 9.90762i | −0.0538026 | + | 0.374206i | 0.945076 | + | 0.326852i | \(0.105988\pi\) |
−0.998878 | + | 0.0473536i | \(0.984921\pi\) | |||||||
\(702\) | −3.50317 | − | 8.90341i | −0.132219 | − | 0.336038i | ||||
\(703\) | 25.7247 | − | 5.59607i | 0.970226 | − | 0.211060i | ||||
\(704\) | 23.4883 | − | 18.9303i | 0.885247 | − | 0.713464i | ||||
\(705\) | 1.04041 | + | 2.28910i | 0.0391840 | + | 0.0862125i | ||||
\(706\) | 4.97879 | + | 15.9000i | 0.187379 | + | 0.598406i | ||||
\(707\) | 22.2054 | + | 40.6662i | 0.835120 | + | 1.52941i | ||||
\(708\) | 1.08806 | + | 0.544616i | 0.0408917 | + | 0.0204679i | ||||
\(709\) | −4.57053 | − | 15.5658i | −0.171650 | − | 0.584586i | −0.999713 | − | 0.0239514i | \(-0.992375\pi\) |
0.828063 | − | 0.560635i | \(-0.189443\pi\) | |||||||
\(710\) | −1.16955 | − | 13.3391i | −0.0438922 | − | 0.500607i | ||||
\(711\) | −11.9872 | + | 1.72350i | −0.449554 | + | 0.0646361i | ||||
\(712\) | −0.445168 | + | 24.9785i | −0.0166834 | + | 0.936109i | ||||
\(713\) | −30.9643 | + | 5.21750i | −1.15962 | + | 0.195397i | ||||
\(714\) | −8.00869 | − | 2.19699i | −0.299718 | − | 0.0822203i | ||||
\(715\) | 25.3764 | + | 19.0682i | 0.949025 | + | 0.713108i | ||||
\(716\) | −8.15811 | − | 11.7494i | −0.304883 | − | 0.439096i | ||||
\(717\) | 2.09787 | − | 3.84196i | 0.0783464 | − | 0.143481i | ||||
\(718\) | 33.1170 | + | 6.58704i | 1.23592 | + | 0.245826i | ||||
\(719\) | 50.0901 | + | 14.7078i | 1.86805 | + | 0.548508i | 0.998506 | + | 0.0546441i | \(0.0174024\pi\) |
0.869539 | + | 0.493864i | \(0.164416\pi\) | |||||||
\(720\) | −12.5032 | + | 22.8020i | −0.465965 | + | 0.849781i | ||||
\(721\) | 14.1178 | + | 30.9137i | 0.525774 | + | 1.15128i | ||||
\(722\) | 5.95778 | − | 16.8886i | 0.221726 | − | 0.628530i | ||||
\(723\) | 4.97123 | − | 1.08142i | 0.184882 | − | 0.0402186i | ||||
\(724\) | 9.44421 | + | 7.61032i | 0.350991 | + | 0.282835i | ||||
\(725\) | −31.7453 | − | 4.68133i | −1.17899 | − | 0.173860i | ||||
\(726\) | 0.925661 | + | 1.03049i | 0.0343545 | + | 0.0382452i | ||||
\(727\) | 0.256902 | − | 3.59196i | 0.00952798 | − | 0.133219i | −0.990462 | − | 0.137789i | \(-0.956000\pi\) |
0.999990 | + | 0.00457068i | \(0.00145490\pi\) | |||||||
\(728\) | 34.9136 | − | 15.1986i | 1.29398 | − | 0.563296i | ||||
\(729\) | −11.9643 | − | 18.6169i | −0.443124 | − | 0.689514i | ||||
\(730\) | −9.50266 | + | 15.3218i | −0.351709 | + | 0.567085i | ||||
\(731\) | −18.4401 | − | 15.9785i | −0.682033 | − | 0.590985i | ||||
\(732\) | 0.349559 | + | 0.589124i | 0.0129201 | + | 0.0217747i | ||||
\(733\) | −34.7298 | + | 12.9536i | −1.28278 | + | 0.478450i | −0.896135 | − | 0.443781i | \(-0.853637\pi\) |
−0.386640 | + | 0.922231i | \(0.626364\pi\) | |||||||
\(734\) | 10.6122 | + | 1.33283i | 0.391704 | + | 0.0491957i | ||||
\(735\) | −2.77980 | − | 2.78985i | −0.102534 | − | 0.102905i | ||||
\(736\) | 26.9917 | + | 2.72913i | 0.994927 | + | 0.100597i | ||||
\(737\) | −37.3900 | + | 37.3900i | −1.37728 | + | 1.37728i | ||||
\(738\) | −18.2289 | − | 23.4654i | −0.671013 | − | 0.863773i | ||||
\(739\) | 10.2884 | − | 22.5285i | 0.378465 | − | 0.828724i | −0.620542 | − | 0.784173i | \(-0.713087\pi\) |
0.999007 | − | 0.0445503i | \(-0.0141855\pi\) | |||||||
\(740\) | −23.7940 | − | 40.2662i | −0.874683 | − | 1.48022i | ||||
\(741\) | −1.88789 | + | 2.17874i | −0.0693533 | + | 0.0800379i | ||||
\(742\) | −52.1109 | + | 12.3147i | −1.91305 | + | 0.452086i | ||||
\(743\) | −3.66871 | + | 16.8648i | −0.134592 | + | 0.618708i | 0.859589 | + | 0.510986i | \(0.170719\pi\) |
−0.994181 | + | 0.107723i | \(0.965644\pi\) | |||||||
\(744\) | −2.06262 | + | 5.24282i | −0.0756192 | + | 0.192211i | ||||
\(745\) | −21.1508 | + | 18.2606i | −0.774907 | + | 0.669015i | ||||
\(746\) | −5.20786 | + | 4.67806i | −0.190673 | + | 0.171276i | ||||
\(747\) | −34.3301 | + | 25.6992i | −1.25607 | + | 0.940285i | ||||
\(748\) | −4.35208 | − | 40.4727i | −0.159128 | − | 1.47983i | ||||
\(749\) | −34.9659 | + | 54.4080i | −1.27763 | + | 1.98803i | ||||
\(750\) | −2.05251 | − | 4.35029i | −0.0749472 | − | 0.158850i | ||||
\(751\) | 22.2991 | − | 10.1837i | 0.813706 | − | 0.371607i | 0.0353070 | − | 0.999377i | \(-0.488759\pi\) |
0.778400 | + | 0.627769i | \(0.216032\pi\) | |||||||
\(752\) | 4.16602 | + | 14.1861i | 0.151919 | + | 0.517313i | ||||
\(753\) | 0.611651 | + | 1.12016i | 0.0222898 | + | 0.0408207i | ||||
\(754\) | 28.4083 | − | 18.9822i | 1.03457 | − | 0.691292i | ||||
\(755\) | −6.58215 | − | 22.5674i | −0.239549 | − | 0.821311i | ||||
\(756\) | −10.5586 | + | 7.33129i | −0.384013 | + | 0.266636i | ||||
\(757\) | 6.86685 | + | 5.14046i | 0.249580 | + | 0.186833i | 0.716742 | − | 0.697339i | \(-0.245633\pi\) |
−0.467162 | + | 0.884172i | \(0.654724\pi\) | |||||||
\(758\) | 19.9307 | + | 34.9995i | 0.723916 | + | 1.27124i | ||||
\(759\) | −0.259956 | + | 5.49559i | −0.00943580 | + | 0.199477i | ||||
\(760\) | 15.9175 | + | 0.312429i | 0.577390 | + | 0.0113330i | ||||
\(761\) | −1.80613 | − | 12.5619i | −0.0654722 | − | 0.455369i | −0.996015 | − | 0.0891858i | \(-0.971574\pi\) |
0.930543 | − | 0.366183i | \(-0.119336\pi\) | |||||||
\(762\) | −5.69138 | + | 0.509365i | −0.206177 | + | 0.0184523i | ||||
\(763\) | 0.804488 | − | 1.47331i | 0.0291244 | − | 0.0533374i | ||||
\(764\) | −29.3184 | + | 9.75876i | −1.06070 | + | 0.353060i | ||||
\(765\) | 16.7612 | + | 30.8280i | 0.606001 | + | 1.11459i | ||||
\(766\) | −22.0152 | + | 6.89362i | −0.795440 | + | 0.249077i | ||||
\(767\) | −2.63080 | + | 7.05346i | −0.0949928 | + | 0.254686i | ||||
\(768\) | 2.91671 | − | 3.89691i | 0.105248 | − | 0.140618i | ||||
\(769\) | 0.366577 | − | 0.570405i | 0.0132191 | − | 0.0205693i | −0.834581 | − | 0.550885i | \(-0.814290\pi\) |
0.847800 | + | 0.530316i | \(0.177927\pi\) | |||||||
\(770\) | 17.0904 | − | 39.0708i | 0.615896 | − | 1.40801i | ||||
\(771\) | −3.18602 | − | 0.458080i | −0.114742 | − | 0.0164974i | ||||
\(772\) | 16.0389 | + | 5.33792i | 0.577254 | + | 0.192116i | ||||
\(773\) | 1.45046 | − | 20.2801i | 0.0521696 | − | 0.729426i | −0.902298 | − | 0.431112i | \(-0.858121\pi\) |
0.954468 | − | 0.298314i | \(-0.0964242\pi\) | |||||||
\(774\) | −18.3484 | + | 2.97348i | −0.659521 | + | 0.106879i | ||||
\(775\) | 17.5998 | + | 27.6044i | 0.632202 | + | 0.991579i | ||||
\(776\) | −11.3735 | + | 5.94983i | −0.408287 | + | 0.213586i | ||||
\(777\) | −0.811720 | − | 11.3493i | −0.0291203 | − | 0.407155i | ||||
\(778\) | 17.3770 | − | 18.0091i | 0.622996 | − | 0.645657i | ||||
\(779\) | −7.55691 | + | 16.5473i | −0.270755 | + | 0.592870i | ||||
\(780\) | 4.72831 | + | 1.96843i | 0.169301 | + | 0.0704810i | ||||
\(781\) | 15.9673 | 0.571357 | ||||||||
\(782\) | 22.7899 | − | 28.6477i | 0.814966 | − | 1.02444i | ||||
\(783\) | −8.15562 | + | 8.15562i | −0.291458 | + | 0.291458i | ||||
\(784\) | −13.8787 | − | 18.5382i | −0.495667 | − | 0.662079i | ||||
\(785\) | 8.64410 | + | 23.3041i | 0.308521 | + | 0.831760i | ||||
\(786\) | 0.0711306 | + | 3.98227i | 0.00253714 | + | 0.142043i | ||||
\(787\) | −31.6050 | + | 2.26043i | −1.12660 | + | 0.0805757i | −0.622172 | − | 0.782881i | \(-0.713749\pi\) |
−0.504423 | + | 0.863456i | \(0.668295\pi\) | |||||||
\(788\) | −0.608550 | + | 17.0485i | −0.0216787 | + | 0.607328i | ||||
\(789\) | 0.382561 | + | 0.595277i | 0.0136195 | + | 0.0211924i | ||||
\(790\) | 7.72332 | − | 10.6700i | 0.274783 | − | 0.379622i | ||||
\(791\) | −8.17943 | + | 7.08752i | −0.290827 | + | 0.252003i | ||||
\(792\) | −25.7843 | − | 17.2274i | −0.916207 | − | 0.612150i | ||||
\(793\) | −3.39293 | + | 2.53991i | −0.120486 | + | 0.0901950i | ||||
\(794\) | 13.2406 | − | 30.4190i | 0.469890 | − | 1.07953i | ||||
\(795\) | −6.05182 | − | 3.90472i | −0.214636 | − | 0.138486i | ||||
\(796\) | −1.29508 | + | 0.233685i | −0.0459030 | + | 0.00828276i | ||||
\(797\) | 2.95340 | + | 1.10156i | 0.104615 | + | 0.0390194i | 0.401227 | − | 0.915979i | \(-0.368584\pi\) |
−0.296612 | + | 0.954998i | \(0.595857\pi\) | |||||||
\(798\) | 3.43197 | + | 1.79519i | 0.121490 | + | 0.0635490i | ||||
\(799\) | 19.1422 | + | 5.62067i | 0.677203 | + | 0.198845i | ||||
\(800\) | −8.35556 | − | 27.0219i | −0.295414 | − | 0.955369i | ||||
\(801\) | 24.6402 | − | 7.23501i | 0.870618 | − | 0.255637i | ||||
\(802\) | 36.0562 | − | 3.22694i | 1.27319 | − | 0.113947i | ||||
\(803\) | −17.2111 | − | 12.8841i | −0.607366 | − | 0.454668i | ||||
\(804\) | −4.35345 | + | 7.33767i | −0.153534 | + | 0.258780i | ||||
\(805\) | 35.6246 | − | 14.2011i | 1.25560 | − | 0.500523i | ||||
\(806\) | −33.6158 | − | 9.22167i | −1.18406 | − | 0.324820i | ||||
\(807\) | 1.96083 | − | 2.61936i | 0.0690244 | − | 0.0922058i | ||||
\(808\) | −15.8145 | + | 33.0571i | −0.556353 | + | 1.16294i | ||||
\(809\) | 3.94592 | + | 13.4386i | 0.138731 | + | 0.472475i | 0.999322 | − | 0.0368221i | \(-0.0117235\pi\) |
−0.860591 | + | 0.509297i | \(0.829905\pi\) | |||||||
\(810\) | 25.3477 | + | 5.08929i | 0.890626 | + | 0.178819i | ||||
\(811\) | −3.26758 | + | 11.1283i | −0.114740 | + | 0.390769i | −0.996759 | − | 0.0804449i | \(-0.974366\pi\) |
0.882019 | + | 0.471214i | \(0.156184\pi\) | |||||||
\(812\) | −33.5964 | − | 31.2781i | −1.17900 | − | 1.09765i | ||||
\(813\) | 0.799235 | − | 2.14283i | 0.0280304 | − | 0.0751524i | ||||
\(814\) | 50.3106 | − | 24.0711i | 1.76339 | − | 0.843690i | ||||
\(815\) | −17.8565 | + | 3.85071i | −0.625488 | + | 0.134884i | ||||
\(816\) | −2.29554 | − | 6.15384i | −0.0803601 | − | 0.215427i | ||||
\(817\) | 6.81960 | + | 9.10992i | 0.238587 | + | 0.318716i | ||||
\(818\) | 5.10606 | + | 0.273639i | 0.178529 | + | 0.00956758i | ||||
\(819\) | −25.6326 | − | 29.5816i | −0.895676 | − | 1.03367i | ||||
\(820\) | 32.1268 | + | 3.51203i | 1.12192 | + | 0.122645i | ||||
\(821\) | −12.1404 | + | 7.80216i | −0.423703 | + | 0.272297i | −0.735068 | − | 0.677993i | \(-0.762850\pi\) |
0.311366 | + | 0.950290i | \(0.399214\pi\) | |||||||
\(822\) | −1.73827 | + | 0.410783i | −0.0606292 | + | 0.0143277i | ||||
\(823\) | 2.05011 | + | 28.6643i | 0.0714623 | + | 0.999173i | 0.899053 | + | 0.437841i | \(0.144257\pi\) |
−0.827590 | + | 0.561332i | \(0.810289\pi\) | |||||||
\(824\) | −13.2998 | + | 23.3573i | −0.463320 | + | 0.813692i | ||||
\(825\) | 5.38150 | − | 1.98509i | 0.187360 | − | 0.0691120i | ||||
\(826\) | 10.0351 | + | 1.26035i | 0.349166 | + | 0.0438531i | ||||
\(827\) | −18.7849 | − | 18.7849i | −0.653213 | − | 0.653213i | 0.300552 | − | 0.953765i | \(-0.402829\pi\) |
−0.953765 | + | 0.300552i | \(0.902829\pi\) | |||||||
\(828\) | −5.61280 | − | 27.3166i | −0.195058 | − | 0.949317i | ||||
\(829\) | 18.5976i | 0.645920i | 0.946413 | + | 0.322960i | \(0.104678\pi\) | ||||
−0.946413 | + | 0.322960i | \(0.895322\pi\) | |||||||
\(830\) | 5.89586 | − | 46.2681i | 0.204648 | − | 1.60599i | ||||
\(831\) | 7.51359 | + | 3.43134i | 0.260644 | + | 0.119032i | ||||
\(832\) | 25.9010 | + | 15.3657i | 0.897957 | + | 0.532710i | ||||
\(833\) | −31.1684 | + | 2.22921i | −1.07992 | + | 0.0772374i | ||||
\(834\) | 4.03681 | + | 2.49357i | 0.139783 | + | 0.0863453i | ||||
\(835\) | 45.4119 | + | 9.96466i | 1.57154 | + | 0.344841i | ||||
\(836\) | −2.02900 | + | 18.8760i | −0.0701743 | + | 0.652839i | ||||
\(837\) | 11.7371 | + | 0.839454i | 0.405693 | + | 0.0290158i | ||||
\(838\) | −2.05484 | + | 38.3429i | −0.0709832 | + | 1.32453i | ||||
\(839\) | −3.11339 | + | 21.6541i | −0.107486 | + | 0.747582i | 0.862787 | + | 0.505568i | \(0.168717\pi\) |
−0.970273 | + | 0.242014i | \(0.922192\pi\) | |||||||
\(840\) | 1.11273 | − | 6.79036i | 0.0383928 | − | 0.234290i | ||||
\(841\) | −10.2524 | − | 6.58884i | −0.353532 | − | 0.227202i | ||||
\(842\) | −2.26134 | + | 6.41025i | −0.0779308 | + | 0.220912i | ||||
\(843\) | −6.46369 | − | 2.41083i | −0.222621 | − | 0.0830334i | ||||
\(844\) | 10.7306 | − | 0.383458i | 0.369362 | − | 0.0131992i | ||||
\(845\) | −0.742475 | + | 2.51185i | −0.0255419 | + | 0.0864104i | ||||
\(846\) | 12.6368 | − | 8.44381i | 0.434461 | − | 0.290304i | ||||
\(847\) | 10.1057 | + | 5.51813i | 0.347236 | + | 0.189605i | ||||
\(848\) | −32.0067 | − | 27.7317i | −1.09911 | − | 0.952311i | ||||
\(849\) | −8.50750 | + | 1.22319i | −0.291977 | + | 0.0419799i | ||||
\(850\) | −36.7689 | − | 10.2296i | −1.26116 | − | 0.350871i | ||||
\(851\) | 47.4031 | + | 16.3887i | 1.62496 | + | 0.561799i | ||||
\(852\) | 2.49634 | − | 0.637206i | 0.0855232 | − | 0.0218303i | ||||
\(853\) | 16.4634 | − | 21.9926i | 0.563698 | − | 0.753012i | −0.424628 | − | 0.905368i | \(-0.639595\pi\) |
0.988326 | + | 0.152356i | \(0.0486860\pi\) | |||||||
\(854\) | 4.36923 | + | 3.65140i | 0.149512 | + | 0.124948i | ||||
\(855\) | −4.58231 | − | 15.7108i | −0.156712 | − | 0.537298i | ||||
\(856\) | −51.0777 | + | 2.73935i | −1.74580 | + | 0.0936290i | ||||
\(857\) | 37.0653 | − | 20.2392i | 1.26613 | − | 0.691357i | 0.301120 | − | 0.953586i | \(-0.402640\pi\) |
0.965005 | + | 0.262230i | \(0.0844578\pi\) | |||||||
\(858\) | −2.83077 | + | 5.41176i | −0.0966409 | + | 0.184754i | ||||
\(859\) | −4.95027 | − | 10.8396i | −0.168901 | − | 0.369842i | 0.806187 | − | 0.591661i | \(-0.201528\pi\) |
−0.975088 | + | 0.221820i | \(0.928800\pi\) | |||||||
\(860\) | 11.5598 | − | 16.5860i | 0.394187 | − | 0.565579i | ||||
\(861\) | 6.61419 | + | 4.25068i | 0.225411 | + | 0.144863i | ||||
\(862\) | −2.16542 | − | 5.50347i | −0.0737544 | − | 0.187449i | ||||
\(863\) | 28.6365 | + | 38.2538i | 0.974796 | + | 1.30218i | 0.953178 | + | 0.302409i | \(0.0977909\pi\) |
0.0216183 | + | 0.999766i | \(0.493118\pi\) | |||||||
\(864\) | −9.58745 | − | 3.38172i | −0.326172 | − | 0.115049i | ||||
\(865\) | −2.11574 | + | 28.8499i | −0.0719374 | + | 0.980927i | ||||
\(866\) | 33.4946 | − | 5.42802i | 1.13819 | − | 0.184452i | ||||
\(867\) | −3.60647 | − | 0.784541i | −0.122482 | − | 0.0266444i | ||||
\(868\) | −1.67058 | + | 46.8012i | −0.0567031 | + | 1.58854i | ||||
\(869\) | 11.8705 | + | 10.2859i | 0.402680 | + | 0.348924i | ||||
\(870\) | −0.0991181 | − | 6.17328i | −0.00336042 | − | 0.209294i | ||||
\(871\) | −48.0173 | − | 21.9288i | −1.62701 | − | 0.743029i | ||||
\(872\) | 1.31728 | − | 0.165495i | 0.0446086 | − | 0.00560437i | ||||
\(873\) | 9.32987 | + | 9.32987i | 0.315768 | + | 0.315768i | ||||
\(874\) | −13.2260 | + | 10.7962i | −0.447377 | + | 0.365186i | ||||
\(875\) | −28.1191 | − | 28.4253i | −0.950598 | − | 0.960951i | ||||
\(876\) | −3.20495 | − | 1.32746i | −0.108285 | − | 0.0448506i | ||||
\(877\) | 8.33139 | + | 22.3373i | 0.281331 | + | 0.754278i | 0.998361 | + | 0.0572351i | \(0.0182285\pi\) |
−0.717030 | + | 0.697043i | \(0.754499\pi\) | |||||||
\(878\) | −6.92195 | − | 6.67901i | −0.233605 | − | 0.225406i | ||||
\(879\) | 1.39831 | − | 1.61374i | 0.0471639 | − | 0.0544301i | ||||
\(880\) | 32.9697 | − | 7.11118i | 1.11141 | − | 0.239718i | ||||
\(881\) | −15.8882 | + | 10.2107i | −0.535287 | + | 0.344008i | −0.780193 | − | 0.625539i | \(-0.784879\pi\) |
0.244906 | + | 0.969547i | \(0.421243\pi\) | |||||||
\(882\) | −13.9231 | + | 19.3084i | −0.468814 | + | 0.650149i | ||||
\(883\) | 2.82637 | + | 0.202146i | 0.0951150 | + | 0.00680276i | 0.118816 | − | 0.992916i | \(-0.462090\pi\) |
−0.0237005 | + | 0.999719i | \(0.507545\pi\) | |||||||
\(884\) | 36.3382 | − | 18.1905i | 1.22219 | − | 0.611813i | ||||
\(885\) | 0.813270 | + | 1.09050i | 0.0273378 | + | 0.0366567i | ||||
\(886\) | 0.195963 | − | 0.450207i | 0.00658349 | − | 0.0151250i | ||||
\(887\) | −10.5468 | − | 48.4830i | −0.354128 | − | 1.62790i | −0.717713 | − | 0.696339i | \(-0.754811\pi\) |
0.363586 | − | 0.931561i | \(-0.381552\pi\) | |||||||
\(888\) | 6.90497 | − | 5.77101i | 0.231716 | − | 0.193662i | ||||
\(889\) | −43.2052 | + | 19.7311i | −1.44905 | + | 0.661761i | ||||
\(890\) | −12.9907 | + | 24.7264i | −0.435451 | + | 0.828831i | ||||
\(891\) | −8.68562 | + | 29.5805i | −0.290979 | + | 0.990984i | ||||
\(892\) | 31.5965 | + | 15.8153i | 1.05793 | + | 0.529536i | ||||
\(893\) | −8.16641 | − | 4.45920i | −0.273278 | − | 0.149221i | ||||
\(894\) | −4.12546 | − | 3.44768i | −0.137976 | − | 0.115308i | ||||
\(895\) | −2.24736 | − | 15.8336i | −0.0751211 | − | 0.529259i | ||||
\(896\) | 12.0875 | − | 38.6127i | 0.403813 | − | 1.28996i | ||||
\(897\) | −5.23104 | + | 1.67410i | −0.174659 | + | 0.0558965i | ||||
\(898\) | 0.308271 | − | 0.175547i | 0.0102871 | − | 0.00585809i | ||||
\(899\) | 5.98010 | + | 41.5925i | 0.199447 | + | 1.38719i | ||||
\(900\) | −23.9418 | + | 16.4960i | −0.798059 | + | 0.549866i | ||||
\(901\) | −54.8295 | + | 16.0994i | −1.82664 | + | 0.536349i | ||||
\(902\) | −7.51806 | + | 37.7978i | −0.250324 | + | 1.25853i | ||||
\(903\) | 4.31672 | − | 2.35711i | 0.143651 | − | 0.0784396i | ||||
\(904\) | −8.33045 | − | 1.96827i | −0.277066 | − | 0.0654638i | ||||
\(905\) | 5.61096 | + | 12.3452i | 0.186515 | + | 0.410369i | ||||
\(906\) | 4.08010 | − | 1.95212i | 0.135552 | − | 0.0648549i | ||||
\(907\) | −0.370862 | − | 1.70483i | −0.0123143 | − | 0.0566078i | 0.970580 | − | 0.240780i | \(-0.0774032\pi\) |
−0.982894 | + | 0.184172i | \(0.941040\pi\) | |||||||
\(908\) | −2.72617 | − | 25.3523i | −0.0904710 | − | 0.841346i | ||||
\(909\) | 37.2855 | + | 5.36085i | 1.23668 | + | 0.177808i | ||||
\(910\) | 42.5076 | + | 2.35500i | 1.40911 | + | 0.0780674i | ||||
\(911\) | 9.25626 | − | 8.02059i | 0.306673 | − | 0.265734i | −0.487903 | − | 0.872898i | \(-0.662238\pi\) |
0.794577 | + | 0.607164i | \(0.207693\pi\) | |||||||
\(912\) | 0.436065 | + | 3.03204i | 0.0144396 | + | 0.100401i | ||||
\(913\) | 54.3480 | + | 11.8227i | 1.79866 | + | 0.391274i | ||||
\(914\) | −40.5474 | − | 25.0464i | −1.34119 | − | 0.828463i | ||||
\(915\) | 0.0532581 | + | 0.764027i | 0.00176066 | + | 0.0252580i | ||||
\(916\) | −0.141500 | − | 0.0361128i | −0.00467530 | − | 0.00119320i | ||||
\(917\) | 11.5697 | + | 31.0196i | 0.382066 | + | 1.02436i | ||||
\(918\) | −10.8333 | + | 8.41571i | −0.357551 | + | 0.277760i | ||||
\(919\) | 42.8821 | 1.41455 | 0.707276 | − | 0.706938i | \(-0.249924\pi\) | ||||
0.707276 | + | 0.706938i | \(0.249924\pi\) | |||||||
\(920\) | 25.5901 | + | 16.2833i | 0.843682 | + | 0.536844i | ||||
\(921\) | −0.283970 | −0.00935713 | ||||||||
\(922\) | 14.0734 | − | 10.9328i | 0.463484 | − | 0.360052i | ||||
\(923\) | 5.57054 | + | 14.9352i | 0.183357 | + | 0.491598i | ||||
\(924\) | 7.95040 | + | 2.02905i | 0.261549 | + | 0.0667509i | ||||
\(925\) | −3.54209 | − | 52.1714i | −0.116463 | − | 1.71539i | ||||
\(926\) | 17.8437 | + | 11.0222i | 0.586382 | + | 0.362213i | ||||
\(927\) | 26.9979 | + | 5.87304i | 0.886729 | + | 0.192896i | ||||
\(928\) | 4.52260 | − | 36.0213i | 0.148462 | − | 1.18246i | ||||
\(929\) | −32.6968 | + | 28.3319i | −1.07275 | + | 0.929540i | −0.997710 | − | 0.0676408i | \(-0.978453\pi\) |
−0.0750366 | + | 0.997181i | \(0.523907\pi\) | |||||||
\(930\) | −4.69360 | + | 4.20083i | −0.153909 | + | 0.137751i | ||||
\(931\) | 14.4253 | + | 2.07404i | 0.472769 | + | 0.0679739i | ||||
\(932\) | −1.42757 | − | 13.2759i | −0.0467616 | − | 0.434865i | ||||
\(933\) | 0.849899 | + | 3.90692i | 0.0278244 | + | 0.127907i | ||||
\(934\) | −15.7384 | + | 7.53001i | −0.514975 | + | 0.246390i | ||||
\(935\) | 15.9813 | − | 42.6125i | 0.522645 | − | 1.39358i | ||||
\(936\) | 7.11843 | − | 30.1278i | 0.232673 | − | 0.984757i | ||||
\(937\) | −10.2828 | + | 5.61485i | −0.335926 | + | 0.183429i | −0.638354 | − | 0.769743i | \(-0.720384\pi\) |
0.302429 | + | 0.953172i | \(0.402203\pi\) | |||||||
\(938\) | −13.8351 | + | 69.5572i | −0.451731 | + | 2.27112i | ||||
\(939\) | 4.43173 | − | 1.30127i | 0.144624 | − | 0.0424655i | ||||
\(940\) | −2.96405 | + | 16.2624i | −0.0966766 | + | 0.530421i | ||||
\(941\) | 5.10601 | + | 35.5131i | 0.166451 | + | 1.15769i | 0.886147 | + | 0.463404i | \(0.153372\pi\) |
−0.719696 | + | 0.694289i | \(0.755719\pi\) | |||||||
\(942\) | −4.15581 | + | 2.36656i | −0.135404 | + | 0.0771066i | ||||
\(943\) | −28.6951 | + | 19.4353i | −0.934440 | + | 0.632901i | ||||
\(944\) | 3.83383 | + | 7.02047i | 0.124780 | + | 0.228497i | ||||
\(945\) | −14.2289 | + | 2.01959i | −0.462866 | + | 0.0656974i | ||||
\(946\) | 18.4986 | + | 15.4594i | 0.601441 | + | 0.502630i | ||||
\(947\) | 8.14682 | + | 4.44850i | 0.264736 | + | 0.144557i | 0.606135 | − | 0.795362i | \(-0.292719\pi\) |
−0.341399 | + | 0.939918i | \(0.610901\pi\) | |||||||
\(948\) | 2.26632 | + | 1.13438i | 0.0736065 | + | 0.0368430i | ||||
\(949\) | 6.04677 | − | 20.5934i | 0.196286 | − | 0.668490i | ||||
\(950\) | 15.7425 | + | 8.30706i | 0.510753 | + | 0.269517i | ||||
\(951\) | −6.42647 | + | 2.93487i | −0.208393 | + | 0.0951697i | ||||
\(952\) | −35.0115 | − | 41.8910i | −1.13473 | − | 1.35769i | ||||
\(953\) | −1.43569 | − | 6.59974i | −0.0465064 | − | 0.213786i | 0.948029 | − | 0.318183i | \(-0.103073\pi\) |
−0.994536 | + | 0.104396i | \(0.966709\pi\) | |||||||
\(954\) | −17.3740 | + | 39.9153i | −0.562505 | + | 1.29231i | ||||
\(955\) | −34.1866 | − | 4.97830i | −1.10625 | − | 0.161094i | ||||
\(956\) | 25.7335 | − | 12.8819i | 0.832280 | − | 0.416631i | ||||
\(957\) | 7.34358 | + | 0.525223i | 0.237384 | + | 0.0169781i | ||||
\(958\) | 22.5118 | − | 31.2192i | 0.727323 | − | 1.00865i | ||||
\(959\) | −12.4901 | + | 8.02688i | −0.403325 | + | 0.259201i | ||||
\(960\) | 4.87071 | − | 2.42748i | 0.157201 | − | 0.0783465i | ||||
\(961\) | 7.77328 | − | 8.97085i | 0.250751 | − | 0.289382i | ||||
\(962\) | 40.0670 | + | 38.6608i | 1.29181 | + | 1.24647i | ||||
\(963\) | 18.3749 | + | 49.2650i | 0.592123 | + | 1.58754i | ||||
\(964\) | 30.9002 | + | 12.7986i | 0.995228 | + | 0.412214i | ||||
\(965\) | 13.3395 | + | 13.3878i | 0.429415 | + | 0.430968i | ||||
\(966\) | 3.80513 | + | 6.32221i | 0.122428 | + | 0.203414i | ||||
\(967\) | −10.2641 | − | 10.2641i | −0.330071 | − | 0.330071i | 0.522542 | − | 0.852613i | \(-0.324984\pi\) |
−0.852613 | + | 0.522542i | \(0.824984\pi\) | |||||||
\(968\) | 1.13516 | + | 9.03543i | 0.0364854 | + | 0.290410i | ||||
\(969\) | 3.75986 | + | 1.71707i | 0.120784 | + | 0.0551603i | ||||
\(970\) | −14.3490 | + | 0.230388i | −0.460719 | + | 0.00739730i | ||||
\(971\) | 4.44109 | + | 3.84823i | 0.142521 | + | 0.123496i | 0.723204 | − | 0.690635i | \(-0.242669\pi\) |
−0.580682 | + | 0.814130i | \(0.697214\pi\) | |||||||
\(972\) | −0.562108 | + | 15.7474i | −0.0180296 | + | 0.505100i | ||||
\(973\) | 38.5392 | + | 8.38369i | 1.23551 | + | 0.268769i | ||||
\(974\) | 11.5701 | − | 1.87501i | 0.370730 | − | 0.0600790i | ||||
\(975\) | 3.73422 | + | 4.34109i | 0.119591 | + | 0.139026i | ||||
\(976\) | −0.321094 | + | 4.49198i | −0.0102780 | + | 0.143785i | ||||
\(977\) | −32.1291 | − | 42.9195i | −1.02790 | − | 1.37312i | −0.925660 | − | 0.378357i | \(-0.876489\pi\) |
−0.102242 | − | 0.994760i | \(-0.532602\pi\) | |||||||
\(978\) | −1.28688 | − | 3.27064i | −0.0411499 | − | 0.104584i | ||||
\(979\) | −28.0196 | − | 18.0071i | −0.895509 | − | 0.575509i | ||||
\(980\) | −4.55156 | − | 25.4880i | −0.145394 | − | 0.814183i | ||||
\(981\) | −0.566927 | − | 1.24140i | −0.0181006 | − | 0.0396347i | ||||
\(982\) | −11.1135 | + | 21.2463i | −0.354646 | + | 0.677998i | ||||
\(983\) | 51.8049 | − | 28.2876i | 1.65232 | − | 0.902234i | 0.664379 | − | 0.747396i | \(-0.268696\pi\) |
0.987940 | − | 0.154839i | \(-0.0494859\pi\) | |||||||
\(984\) | 0.333013 | + | 6.20934i | 0.0106161 | + | 0.197946i | ||||
\(985\) | −9.17090 | + | 16.7234i | −0.292209 | + | 0.532852i | ||||
\(986\) | −37.5889 | − | 31.4134i | −1.19707 | − | 1.00041i | ||||
\(987\) | −2.40997 | + | 3.21934i | −0.0767101 | + | 0.102473i | ||||
\(988\) | −18.3637 | + | 4.68743i | −0.584226 | + | 0.149127i | ||||
\(989\) | 2.06802 | + | 21.5814i | 0.0657591 | + | 0.686249i | ||||
\(990\) | −17.1020 | − | 30.1586i | −0.543538 | − | 0.958504i | ||||
\(991\) | −41.7706 | + | 6.00571i | −1.32689 | + | 0.190778i | −0.769058 | − | 0.639178i | \(-0.779275\pi\) |
−0.557829 | + | 0.829956i | \(0.688365\pi\) | |||||||
\(992\) | −30.7953 | + | 20.5790i | −0.977752 | + | 0.653383i | ||||
\(993\) | −0.627042 | − | 0.342391i | −0.0198986 | − | 0.0108654i | ||||
\(994\) | 17.8063 | − | 11.8980i | 0.564781 | − | 0.377383i | ||||
\(995\) | −1.41098 | − | 0.417070i | −0.0447311 | − | 0.0132220i | ||||
\(996\) | 8.96858 | − | 0.320492i | 0.284180 | − | 0.0101552i | ||||
\(997\) | −19.9000 | − | 7.42233i | −0.630240 | − | 0.235068i | 0.0139862 | − | 0.999902i | \(-0.495548\pi\) |
−0.644227 | + | 0.764835i | \(0.722821\pi\) | |||||||
\(998\) | 17.5888 | − | 49.8592i | 0.556763 | − | 1.57827i | ||||
\(999\) | −15.8117 | − | 10.1616i | −0.500261 | − | 0.321498i |
(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 | 460.2.w.a.3.15 | ✓ | 1360 | |
4.3 | odd | 2 | inner | 460.2.w.a.3.42 | yes | 1360 | |
5.2 | odd | 4 | inner | 460.2.w.a.187.21 | yes | 1360 | |
20.7 | even | 4 | inner | 460.2.w.a.187.61 | yes | 1360 | |
23.8 | even | 11 | inner | 460.2.w.a.123.61 | yes | 1360 | |
92.31 | odd | 22 | inner | 460.2.w.a.123.21 | yes | 1360 | |
115.77 | odd | 44 | inner | 460.2.w.a.307.42 | yes | 1360 | |
460.307 | even | 44 | inner | 460.2.w.a.307.15 | yes | 1360 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
460.2.w.a.3.15 | ✓ | 1360 | 1.1 | even | 1 | trivial | |
460.2.w.a.3.42 | yes | 1360 | 4.3 | odd | 2 | inner | |
460.2.w.a.123.21 | yes | 1360 | 92.31 | odd | 22 | inner | |
460.2.w.a.123.61 | yes | 1360 | 23.8 | even | 11 | inner | |
460.2.w.a.187.21 | yes | 1360 | 5.2 | odd | 4 | inner | |
460.2.w.a.187.61 | yes | 1360 | 20.7 | even | 4 | inner | |
460.2.w.a.307.15 | yes | 1360 | 460.307 | even | 44 | inner | |
460.2.w.a.307.42 | yes | 1360 | 115.77 | odd | 44 | inner |