Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [252,2,Mod(103,252)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(252, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 2, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("252.103");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 252 = 2^{2} \cdot 3^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 252.bj (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.01223013094\) |
Analytic rank: | \(0\) |
Dimension: | \(84\) |
Relative dimension: | \(42\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 115.41 | ||
Character | \(\chi\) | \(=\) | 252.115 |
Dual form | 252.2.bj.b.103.42 |
$q$-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 \(\left(\mathbb{Z}/252\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(73\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{1}{6}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.40573 | − | 0.154709i | 0.993998 | − | 0.109396i | ||||
\(3\) | −0.868676 | − | 1.49847i | −0.501531 | − | 0.865140i | ||||
\(4\) | 1.95213 | − | 0.434957i | 0.976065 | − | 0.217479i | ||||
\(5\) | −2.69307 | − | 1.55484i | −1.20438 | − | 0.695348i | −0.242852 | − | 0.970063i | \(-0.578083\pi\) |
−0.961526 | + | 0.274715i | \(0.911416\pi\) | |||||||
\(6\) | −1.45295 | − | 1.97204i | −0.593163 | − | 0.805082i | ||||
\(7\) | −2.30485 | − | 1.29911i | −0.871150 | − | 0.491017i | ||||
\(8\) | 2.67687 | − | 0.913443i | 0.946416 | − | 0.322951i | ||||
\(9\) | −1.49080 | + | 2.60336i | −0.496934 | + | 0.867788i | ||||
\(10\) | −4.02627 | − | 1.76904i | −1.27322 | − | 0.559421i | ||||
\(11\) | 1.94657 | − | 1.12385i | 0.586914 | − | 0.338855i | −0.176962 | − | 0.984218i | \(-0.556627\pi\) |
0.763876 | + | 0.645363i | \(0.223294\pi\) | |||||||
\(12\) | −2.34754 | − | 2.54736i | −0.677676 | − | 0.735361i | ||||
\(13\) | 3.87442 | − | 2.23689i | 1.07457 | − | 0.620403i | 0.145143 | − | 0.989411i | \(-0.453636\pi\) |
0.929426 | + | 0.369008i | \(0.120302\pi\) | |||||||
\(14\) | −3.44097 | − | 1.46961i | −0.919637 | − | 0.392769i | ||||
\(15\) | 0.00952410 | + | 5.38613i | 0.00245911 | + | 1.39069i | ||||
\(16\) | 3.62162 | − | 1.69819i | 0.905406 | − | 0.424547i | ||||
\(17\) | −2.92047 | − | 1.68614i | −0.708319 | − | 0.408948i | 0.102119 | − | 0.994772i | \(-0.467438\pi\) |
−0.810438 | + | 0.585824i | \(0.800771\pi\) | |||||||
\(18\) | −1.69290 | + | 3.89026i | −0.399019 | + | 0.916943i | ||||
\(19\) | 3.28507 | + | 5.68990i | 0.753646 | + | 1.30535i | 0.946045 | + | 0.324036i | \(0.105040\pi\) |
−0.192399 | + | 0.981317i | \(0.561627\pi\) | |||||||
\(20\) | −5.93352 | − | 1.86389i | −1.32677 | − | 0.416778i | ||||
\(21\) | 0.0554973 | + | 4.58224i | 0.0121105 | + | 0.999927i | ||||
\(22\) | 2.56248 | − | 1.88098i | 0.546322 | − | 0.401027i | ||||
\(23\) | 0.746323 | + | 0.430890i | 0.155619 | + | 0.0898467i | 0.575787 | − | 0.817600i | \(-0.304696\pi\) |
−0.420168 | + | 0.907446i | \(0.638029\pi\) | |||||||
\(24\) | −3.69410 | − | 3.21771i | −0.754054 | − | 0.656812i | ||||
\(25\) | 2.33509 | + | 4.04449i | 0.467017 | + | 0.808897i | ||||
\(26\) | 5.10030 | − | 3.74387i | 1.00025 | − | 0.734233i | ||||
\(27\) | 5.19608 | − | 0.0275643i | 0.999986 | − | 0.00530476i | ||||
\(28\) | −5.06442 | − | 1.53352i | −0.957085 | − | 0.289807i | ||||
\(29\) | 0.897936 | − | 1.55527i | 0.166743 | − | 0.288807i | −0.770530 | − | 0.637403i | \(-0.780008\pi\) |
0.937273 | + | 0.348597i | \(0.113342\pi\) | |||||||
\(30\) | 0.846672 | + | 7.56995i | 0.154581 | + | 1.38208i | ||||
\(31\) | 6.47553 | 1.16304 | 0.581520 | − | 0.813532i | \(-0.302458\pi\) | ||||
0.581520 | + | 0.813532i | \(0.302458\pi\) | |||||||
\(32\) | 4.82829 | − | 2.94748i | 0.853528 | − | 0.521046i | ||||
\(33\) | −3.37500 | − | 1.94061i | −0.587512 | − | 0.337817i | ||||
\(34\) | −4.36625 | − | 1.91842i | −0.748805 | − | 0.329007i | ||||
\(35\) | 4.18720 | + | 7.08227i | 0.707767 | + | 1.19712i | ||||
\(36\) | −1.77789 | + | 5.73054i | −0.296315 | + | 0.955090i | ||||
\(37\) | −1.93958 | − | 3.35945i | −0.318865 | − | 0.552291i | 0.661386 | − | 0.750045i | \(-0.269968\pi\) |
−0.980252 | + | 0.197755i | \(0.936635\pi\) | |||||||
\(38\) | 5.49818 | + | 7.49021i | 0.891923 | + | 1.21507i | ||||
\(39\) | −6.71752 | − | 3.86254i | −1.07566 | − | 0.618502i | ||||
\(40\) | −8.62926 | − | 1.70215i | −1.36441 | − | 0.269133i | ||||
\(41\) | 1.06232 | − | 0.613333i | 0.165907 | − | 0.0957866i | −0.414747 | − | 0.909937i | \(-0.636130\pi\) |
0.580655 | + | 0.814150i | \(0.302797\pi\) | |||||||
\(42\) | 0.786928 | + | 6.43279i | 0.121426 | + | 0.992601i | ||||
\(43\) | −0.846269 | − | 0.488593i | −0.129055 | − | 0.0745098i | 0.434083 | − | 0.900873i | \(-0.357073\pi\) |
−0.563138 | + | 0.826363i | \(0.690406\pi\) | |||||||
\(44\) | 3.31113 | − | 3.04059i | 0.499172 | − | 0.458386i | ||||
\(45\) | 8.06266 | − | 4.69308i | 1.20191 | − | 0.699603i | ||||
\(46\) | 1.11579 | + | 0.490250i | 0.164514 | + | 0.0722834i | ||||
\(47\) | −11.4875 | −1.67563 | −0.837815 | − | 0.545954i | \(-0.816167\pi\) | ||||
−0.837815 | + | 0.545954i | \(0.816167\pi\) | |||||||
\(48\) | −5.69070 | − | 3.95171i | −0.821381 | − | 0.570380i | ||||
\(49\) | 3.62464 | + | 5.98849i | 0.517806 | + | 0.855498i | ||||
\(50\) | 3.90821 | + | 5.32418i | 0.552704 | + | 0.752953i | ||||
\(51\) | 0.0103283 | + | 5.84094i | 0.00144625 | + | 0.817895i | ||||
\(52\) | 6.59041 | − | 6.05191i | 0.913925 | − | 0.839250i | ||||
\(53\) | −0.992739 | + | 1.71947i | −0.136363 | + | 0.236188i | −0.926117 | − | 0.377235i | \(-0.876875\pi\) |
0.789754 | + | 0.613423i | \(0.210208\pi\) | |||||||
\(54\) | 7.30000 | − | 0.842629i | 0.993404 | − | 0.114667i | ||||
\(55\) | −6.98968 | −0.942488 | ||||||||
\(56\) | −7.35643 | − | 1.37219i | −0.983045 | − | 0.183367i | ||||
\(57\) | 5.67247 | − | 9.86524i | 0.751336 | − | 1.30668i | ||||
\(58\) | 1.02164 | − | 2.32520i | 0.134148 | − | 0.305314i | ||||
\(59\) | 6.17823 | 0.804336 | 0.402168 | − | 0.915566i | \(-0.368257\pi\) | ||||
0.402168 | + | 0.915566i | \(0.368257\pi\) | |||||||
\(60\) | 2.36133 | + | 10.5103i | 0.304846 | + | 1.35687i | ||||
\(61\) | 13.1880i | 1.68855i | 0.535911 | + | 0.844275i | \(0.319968\pi\) | ||||
−0.535911 | + | 0.844275i | \(0.680032\pi\) | |||||||
\(62\) | 9.10282 | − | 1.00182i | 1.15606 | − | 0.127232i | ||||
\(63\) | 6.81812 | − | 4.06364i | 0.859003 | − | 0.511971i | ||||
\(64\) | 6.33124 | − | 4.89033i | 0.791405 | − | 0.611292i | ||||
\(65\) | −13.9121 | −1.72558 | ||||||||
\(66\) | −5.04455 | − | 2.20582i | −0.620942 | − | 0.271518i | ||||
\(67\) | 11.7765i | 1.43872i | 0.694636 | + | 0.719362i | \(0.255566\pi\) | ||||
−0.694636 | + | 0.719362i | \(0.744434\pi\) | |||||||
\(68\) | −6.43454 | − | 2.02128i | −0.780303 | − | 0.245116i | ||||
\(69\) | −0.00263939 | − | 1.49264i | −0.000317745 | − | 0.179693i | ||||
\(70\) | 6.98175 | + | 9.30793i | 0.834479 | + | 1.11251i | ||||
\(71\) | − | 3.55574i | − | 0.421989i | −0.977487 | − | 0.210994i | \(-0.932330\pi\) | ||
0.977487 | − | 0.210994i | \(-0.0676702\pi\) | |||||||
\(72\) | −1.61266 | + | 8.33063i | −0.190053 | + | 0.981774i | ||||
\(73\) | 3.89746 | + | 2.25020i | 0.456163 | + | 0.263366i | 0.710429 | − | 0.703768i | \(-0.248501\pi\) |
−0.254267 | + | 0.967134i | \(0.581834\pi\) | |||||||
\(74\) | −3.24626 | − | 4.42240i | −0.377370 | − | 0.514093i | ||||
\(75\) | 4.03209 | − | 7.01240i | 0.465586 | − | 0.809722i | ||||
\(76\) | 8.88774 | + | 9.67856i | 1.01949 | + | 1.11021i | ||||
\(77\) | −5.94656 | + | 0.0615047i | −0.677673 | + | 0.00700911i | ||||
\(78\) | −10.0406 | − | 4.39041i | −1.13687 | − | 0.497116i | ||||
\(79\) | − | 11.2425i | − | 1.26488i | −0.774611 | − | 0.632438i | \(-0.782054\pi\) | ||
0.774611 | − | 0.632438i | \(-0.217946\pi\) | |||||||
\(80\) | −12.3937 | − | 1.05773i | −1.38566 | − | 0.118258i | ||||
\(81\) | −4.55502 | − | 7.76221i | −0.506113 | − | 0.862467i | ||||
\(82\) | 1.39845 | − | 1.02653i | 0.154433 | − | 0.113361i | ||||
\(83\) | 1.48263 | − | 2.56798i | 0.162739 | − | 0.281873i | −0.773111 | − | 0.634271i | \(-0.781300\pi\) |
0.935850 | + | 0.352398i | \(0.114634\pi\) | |||||||
\(84\) | 2.10142 | + | 8.92099i | 0.229283 | + | 0.973360i | ||||
\(85\) | 5.24336 | + | 9.08177i | 0.568722 | + | 0.985056i | ||||
\(86\) | −1.26521 | − | 0.555903i | −0.136431 | − | 0.0599445i | ||||
\(87\) | −3.11054 | + | 0.00550025i | −0.333485 | + | 0.000589689i | ||||
\(88\) | 4.18414 | − | 4.78649i | 0.446031 | − | 0.510242i | ||||
\(89\) | −13.1148 | + | 7.57182i | −1.39016 | + | 0.802611i | −0.993333 | − | 0.115280i | \(-0.963223\pi\) |
−0.396831 | + | 0.917892i | \(0.629890\pi\) | |||||||
\(90\) | 10.6078 | − | 7.84455i | 1.11816 | − | 0.826888i | ||||
\(91\) | −11.8359 | + | 0.122418i | −1.24074 | + | 0.0128329i | ||||
\(92\) | 1.64434 | + | 0.516534i | 0.171434 | + | 0.0538524i | ||||
\(93\) | −5.62514 | − | 9.70337i | −0.583300 | − | 1.00619i | ||||
\(94\) | −16.1483 | + | 1.77723i | −1.66557 | + | 0.183307i | ||||
\(95\) | − | 20.4311i | − | 2.09618i | ||||||
\(96\) | −8.61092 | − | 4.67461i | −0.878849 | − | 0.477101i | ||||
\(97\) | −2.86666 | − | 1.65507i | −0.291066 | − | 0.168047i | 0.347357 | − | 0.937733i | \(-0.387079\pi\) |
−0.638422 | + | 0.769686i | \(0.720413\pi\) | |||||||
\(98\) | 6.02172 | + | 7.85741i | 0.608286 | + | 0.793718i | ||||
\(99\) | 0.0238472 | + | 6.74308i | 0.00239673 | + | 0.677705i | ||||
\(100\) | 6.31757 | + | 6.87970i | 0.631757 | + | 0.687970i | ||||
\(101\) | 9.83018 | − | 5.67546i | 0.978140 | − | 0.564729i | 0.0764318 | − | 0.997075i | \(-0.475647\pi\) |
0.901708 | + | 0.432346i | \(0.142314\pi\) | |||||||
\(102\) | 0.918165 | + | 8.20916i | 0.0909119 | + | 0.812828i | ||||
\(103\) | 7.44810 | − | 12.9005i | 0.733883 | − | 1.27112i | −0.221329 | − | 0.975199i | \(-0.571039\pi\) |
0.955212 | − | 0.295923i | \(-0.0956273\pi\) | |||||||
\(104\) | 8.32802 | − | 9.52693i | 0.816630 | − | 0.934192i | ||||
\(105\) | 6.97521 | − | 12.4266i | 0.680711 | − | 1.21271i | ||||
\(106\) | −1.12950 | + | 2.57070i | −0.109707 | + | 0.249688i | ||||
\(107\) | −7.24634 | + | 4.18368i | −0.700531 | + | 0.404452i | −0.807545 | − | 0.589806i | \(-0.799204\pi\) |
0.107014 | + | 0.994257i | \(0.465871\pi\) | |||||||
\(108\) | 10.1314 | − | 2.31388i | 0.974898 | − | 0.222653i | ||||
\(109\) | 1.40873 | − | 2.44000i | 0.134932 | − | 0.233709i | −0.790639 | − | 0.612282i | \(-0.790252\pi\) |
0.925572 | + | 0.378573i | \(0.123585\pi\) | |||||||
\(110\) | −9.82557 | + | 1.08137i | −0.936831 | + | 0.103104i | ||||
\(111\) | −3.34916 | + | 5.82467i | −0.317888 | + | 0.552854i | ||||
\(112\) | −10.5534 | − | 0.790819i | −0.997204 | − | 0.0747254i | ||||
\(113\) | 0.160482 | + | 0.277962i | 0.0150968 | + | 0.0261485i | 0.873475 | − | 0.486869i | \(-0.161861\pi\) |
−0.858378 | + | 0.513017i | \(0.828528\pi\) | |||||||
\(114\) | 6.44769 | − | 14.7454i | 0.603881 | − | 1.38103i | ||||
\(115\) | −1.33993 | − | 2.32083i | −0.124949 | − | 0.216419i | ||||
\(116\) | 1.07641 | − | 3.42665i | 0.0999423 | − | 0.318157i | ||||
\(117\) | 0.0474649 | + | 13.4213i | 0.00438813 | + | 1.24080i | ||||
\(118\) | 8.68489 | − | 0.955828i | 0.799509 | − | 0.0879911i | ||||
\(119\) | 4.54077 | + | 7.68030i | 0.416252 | + | 0.704052i | ||||
\(120\) | 4.94542 | + | 14.4093i | 0.451453 | + | 1.31538i | ||||
\(121\) | −2.97390 | + | 5.15095i | −0.270355 | + | 0.468268i | ||||
\(122\) | 2.04030 | + | 18.5387i | 0.184720 | + | 1.67841i | ||||
\(123\) | −1.84188 | − | 1.05907i | −0.166076 | − | 0.0954930i | ||||
\(124\) | 12.6411 | − | 2.81658i | 1.13520 | − | 0.252936i | ||||
\(125\) | 1.02566i | 0.0917382i | ||||||||
\(126\) | 8.95573 | − | 6.76720i | 0.797840 | − | 0.602870i | ||||
\(127\) | 8.00490i | 0.710320i | 0.934805 | + | 0.355160i | \(0.115574\pi\) | ||||
−0.934805 | + | 0.355160i | \(0.884426\pi\) | |||||||
\(128\) | 8.14341 | − | 7.85397i | 0.719783 | − | 0.694199i | ||||
\(129\) | 0.00299285 | + | 1.69253i | 0.000263506 | + | 0.149019i | ||||
\(130\) | −19.5566 | + | 2.15233i | −1.71523 | + | 0.188772i | ||||
\(131\) | −2.03383 | + | 3.52269i | −0.177696 | + | 0.307779i | −0.941091 | − | 0.338153i | \(-0.890198\pi\) |
0.763395 | + | 0.645932i | \(0.223531\pi\) | |||||||
\(132\) | −7.43252 | − | 2.32034i | −0.646918 | − | 0.201960i | ||||
\(133\) | −0.179780 | − | 17.3820i | −0.0155889 | − | 1.50721i | ||||
\(134\) | 1.82193 | + | 16.5545i | 0.157390 | + | 1.43009i | ||||
\(135\) | −14.0363 | − | 8.00487i | −1.20805 | − | 0.688949i | ||||
\(136\) | −9.35791 | − | 1.84588i | −0.802434 | − | 0.158283i | ||||
\(137\) | 7.54147 | + | 13.0622i | 0.644311 | + | 1.11598i | 0.984460 | + | 0.175608i | \(0.0561892\pi\) |
−0.340149 | + | 0.940372i | \(0.610477\pi\) | |||||||
\(138\) | −0.234636 | − | 2.09784i | −0.0199735 | − | 0.178580i | ||||
\(139\) | −4.06208 | − | 7.03573i | −0.344541 | − | 0.596762i | 0.640729 | − | 0.767767i | \(-0.278632\pi\) |
−0.985270 | + | 0.171004i | \(0.945299\pi\) | |||||||
\(140\) | 11.2545 | + | 12.0043i | 0.951175 | + | 1.01454i | ||||
\(141\) | 9.97896 | + | 17.2137i | 0.840380 | + | 1.44966i | ||||
\(142\) | −0.550106 | − | 4.99840i | −0.0461638 | − | 0.419456i | ||||
\(143\) | 5.02789 | − | 8.70856i | 0.420453 | − | 0.728246i | ||||
\(144\) | −0.978127 | + | 11.9601i | −0.0815106 | + | 0.996672i | ||||
\(145\) | −4.83641 | + | 2.79230i | −0.401642 | + | 0.231888i | ||||
\(146\) | 5.82688 | + | 2.56019i | 0.482236 | + | 0.211883i | ||||
\(147\) | 5.82491 | − | 10.6335i | 0.480430 | − | 0.877033i | ||||
\(148\) | −5.24753 | − | 5.71445i | −0.431345 | − | 0.469725i | ||||
\(149\) | 9.17992 | − | 15.9001i | 0.752048 | − | 1.30259i | −0.194780 | − | 0.980847i | \(-0.562399\pi\) |
0.946828 | − | 0.321739i | \(-0.104267\pi\) | |||||||
\(150\) | 4.58314 | − | 10.4813i | 0.374211 | − | 0.855795i | ||||
\(151\) | −12.3120 | + | 7.10833i | −1.00193 | + | 0.578467i | −0.908820 | − | 0.417188i | \(-0.863016\pi\) |
−0.0931147 | + | 0.995655i | \(0.529682\pi\) | |||||||
\(152\) | 13.9911 | + | 12.2304i | 1.13483 | + | 0.992016i | ||||
\(153\) | 8.74348 | − | 5.08936i | 0.706868 | − | 0.411451i | ||||
\(154\) | −8.34972 | + | 1.00645i | −0.672839 | + | 0.0811017i | ||||
\(155\) | −17.4391 | − | 10.0684i | −1.40074 | − | 0.808717i | ||||
\(156\) | −14.7935 | − | 4.61835i | −1.18443 | − | 0.369764i | ||||
\(157\) | − | 8.40391i | − | 0.670705i | −0.942093 | − | 0.335352i | \(-0.891145\pi\) | ||
0.942093 | − | 0.335352i | \(-0.108855\pi\) | |||||||
\(158\) | −1.73931 | − | 15.8038i | −0.138372 | − | 1.25728i | ||||
\(159\) | 3.43894 | − | 0.00608096i | 0.272726 | − | 0.000482251i | ||||
\(160\) | −17.5858 | + | 0.430545i | −1.39028 | + | 0.0340376i | ||||
\(161\) | −1.16039 | − | 1.96269i | −0.0914514 | − | 0.154681i | ||||
\(162\) | −7.60399 | − | 10.2068i | −0.597426 | − | 0.801924i | ||||
\(163\) | 19.0039 | − | 10.9719i | 1.48850 | − | 0.859384i | 0.488583 | − | 0.872517i | \(-0.337514\pi\) |
0.999914 | + | 0.0131335i | \(0.00418066\pi\) | |||||||
\(164\) | 1.80702 | − | 1.65937i | 0.141105 | − | 0.129575i | ||||
\(165\) | 6.07177 | + | 10.4738i | 0.472687 | + | 0.815384i | ||||
\(166\) | 1.68688 | − | 3.83926i | 0.130927 | − | 0.297984i | ||||
\(167\) | −1.89367 | − | 3.27994i | −0.146537 | − | 0.253809i | 0.783408 | − | 0.621507i | \(-0.213479\pi\) |
−0.929945 | + | 0.367698i | \(0.880146\pi\) | |||||||
\(168\) | 4.33417 | + | 12.2154i | 0.334389 | + | 0.942435i | ||||
\(169\) | 3.50739 | − | 6.07499i | 0.269800 | − | 0.467307i | ||||
\(170\) | 8.77576 | + | 11.9553i | 0.673070 | + | 0.916928i | ||||
\(171\) | −19.7103 | + | 0.0697061i | −1.50728 | + | 0.00533056i | ||||
\(172\) | −1.86454 | − | 0.585707i | −0.142170 | − | 0.0446598i | ||||
\(173\) | 2.83127i | 0.215257i | 0.994191 | + | 0.107629i | \(0.0343257\pi\) | ||||
−0.994191 | + | 0.107629i | \(0.965674\pi\) | |||||||
\(174\) | −4.37171 | + | 0.488960i | −0.331419 | + | 0.0370680i | ||||
\(175\) | −0.127791 | − | 12.3555i | −0.00966011 | − | 0.933984i | ||||
\(176\) | 5.14124 | − | 7.37582i | 0.387536 | − | 0.555974i | ||||
\(177\) | −5.36688 | − | 9.25786i | −0.403399 | − | 0.695864i | ||||
\(178\) | −17.2644 | + | 12.6729i | −1.29402 | + | 0.949873i | ||||
\(179\) | 8.30663 | + | 4.79584i | 0.620867 | + | 0.358458i | 0.777206 | − | 0.629246i | \(-0.216636\pi\) |
−0.156340 | + | 0.987703i | \(0.549969\pi\) | |||||||
\(180\) | 13.6981 | − | 12.6684i | 1.02099 | − | 0.944248i | ||||
\(181\) | 7.07527i | 0.525901i | 0.964809 | + | 0.262950i | \(0.0846955\pi\) | ||||
−0.964809 | + | 0.262950i | \(0.915304\pi\) | |||||||
\(182\) | −16.6191 | + | 2.00321i | −1.23189 | + | 0.148488i | ||||
\(183\) | 19.7618 | − | 11.4561i | 1.46083 | − | 0.846859i | ||||
\(184\) | 2.39140 | + | 0.471711i | 0.176296 | + | 0.0347750i | ||||
\(185\) | 12.0630i | 0.886889i | ||||||||
\(186\) | −9.40861 | − | 12.7700i | −0.689873 | − | 0.936343i | ||||
\(187\) | −7.57989 | −0.554296 | ||||||||
\(188\) | −22.4252 | + | 4.99659i | −1.63552 | + | 0.364414i | ||||
\(189\) | −12.0120 | − | 6.68673i | −0.873743 | − | 0.486388i | ||||
\(190\) | −3.16087 | − | 28.7205i | −0.229314 | − | 2.08360i | ||||
\(191\) | 17.8697i | 1.29301i | 0.762912 | + | 0.646503i | \(0.223769\pi\) | ||||
−0.762912 | + | 0.646503i | \(0.776231\pi\) | |||||||
\(192\) | −12.8278 | − | 5.23904i | −0.925767 | − | 0.378095i | ||||
\(193\) | −13.3943 | −0.964141 | −0.482071 | − | 0.876132i | \(-0.660115\pi\) | ||||
−0.482071 | + | 0.876132i | \(0.660115\pi\) | |||||||
\(194\) | −4.28580 | − | 1.88307i | −0.307702 | − | 0.135197i | ||||
\(195\) | 12.0851 | + | 20.8468i | 0.865433 | + | 1.49287i | ||||
\(196\) | 9.68050 | + | 10.1137i | 0.691465 | + | 0.722410i | ||||
\(197\) | 7.63734 | 0.544138 | 0.272069 | − | 0.962278i | \(-0.412292\pi\) | ||||
0.272069 | + | 0.962278i | \(0.412292\pi\) | |||||||
\(198\) | 1.07674 | + | 9.47524i | 0.0765206 | + | 0.673376i | ||||
\(199\) | −12.0186 | + | 20.8169i | −0.851978 | + | 1.47567i | 0.0274425 | + | 0.999623i | \(0.491264\pi\) |
−0.879420 | + | 0.476046i | \(0.842070\pi\) | |||||||
\(200\) | 9.94513 | + | 8.69359i | 0.703227 | + | 0.614730i | ||||
\(201\) | 17.6466 | − | 10.2299i | 1.24470 | − | 0.721564i | ||||
\(202\) | 12.9405 | − | 9.49896i | 0.910490 | − | 0.668344i | ||||
\(203\) | −4.09007 | + | 2.41815i | −0.287067 | + | 0.169721i | ||||
\(204\) | 2.56072 | + | 11.3978i | 0.179286 | + | 0.798004i | ||||
\(205\) | −3.81455 | −0.266420 | ||||||||
\(206\) | 8.47416 | − | 19.2868i | 0.590423 | − | 1.34378i | ||||
\(207\) | −2.23438 | + | 1.30058i | −0.155300 | + | 0.0903965i | ||||
\(208\) | 10.2330 | − | 14.6807i | 0.709532 | − | 1.01792i | ||||
\(209\) | 12.7892 | + | 7.38387i | 0.884650 | + | 0.510753i | ||||
\(210\) | 7.88273 | − | 18.5475i | 0.543960 | − | 1.27990i | ||||
\(211\) | 8.06636 | − | 4.65711i | 0.555311 | − | 0.320609i | −0.195950 | − | 0.980614i | \(-0.562779\pi\) |
0.751261 | + | 0.660005i | \(0.229446\pi\) | |||||||
\(212\) | −1.19006 | + | 3.78844i | −0.0817335 | + | 0.260191i | ||||
\(213\) | −5.32816 | + | 3.08879i | −0.365079 | + | 0.211640i | ||||
\(214\) | −9.53912 | + | 7.00218i | −0.652081 | + | 0.478659i | ||||
\(215\) | 1.51937 | + | 2.63163i | 0.103620 | + | 0.179476i | ||||
\(216\) | 13.8840 | − | 4.82011i | 0.944689 | − | 0.327967i | ||||
\(217\) | −14.9251 | − | 8.41241i | −1.01318 | − | 0.571072i | ||||
\(218\) | 1.60280 | − | 3.64791i | 0.108556 | − | 0.247068i | ||||
\(219\) | −0.0137834 | − | 7.79490i | −0.000931399 | − | 0.526731i | ||||
\(220\) | −13.6448 | + | 3.04021i | −0.919930 | + | 0.204971i | ||||
\(221\) | −15.0868 | −1.01485 | ||||||||
\(222\) | −3.80687 | + | 8.70604i | −0.255500 | + | 0.584311i | ||||
\(223\) | 4.36816 | − | 7.56588i | 0.292514 | − | 0.506649i | −0.681890 | − | 0.731455i | \(-0.738842\pi\) |
0.974403 | + | 0.224806i | \(0.0721750\pi\) | |||||||
\(224\) | −14.9576 | + | 0.521036i | −0.999394 | + | 0.0348132i | ||||
\(225\) | −14.0104 | + | 0.0495484i | −0.934028 | + | 0.00330323i | ||||
\(226\) | 0.268597 | + | 0.365911i | 0.0178668 | + | 0.0243400i | ||||
\(227\) | 10.8912 | + | 18.8641i | 0.722873 | + | 1.25205i | 0.959844 | + | 0.280536i | \(0.0905122\pi\) |
−0.236970 | + | 0.971517i | \(0.576154\pi\) | |||||||
\(228\) | 6.78243 | − | 21.7255i | 0.449177 | − | 1.43881i | ||||
\(229\) | −7.36146 | − | 4.25014i | −0.486459 | − | 0.280857i | 0.236645 | − | 0.971596i | \(-0.423952\pi\) |
−0.723104 | + | 0.690739i | \(0.757285\pi\) | |||||||
\(230\) | −2.24263 | − | 3.05515i | −0.147875 | − | 0.201451i | ||||
\(231\) | 5.25780 | + | 8.85729i | 0.345938 | + | 0.582767i | ||||
\(232\) | 0.983004 | − | 4.98347i | 0.0645374 | − | 0.327181i | ||||
\(233\) | 9.13727 | + | 15.8262i | 0.598602 | + | 1.03681i | 0.993028 | + | 0.117882i | \(0.0376103\pi\) |
−0.394425 | + | 0.918928i | \(0.629056\pi\) | |||||||
\(234\) | 2.14312 | + | 18.8593i | 0.140100 | + | 1.23287i | ||||
\(235\) | 30.9368 | + | 17.8614i | 2.01809 | + | 1.16515i | ||||
\(236\) | 12.0607 | − | 2.68726i | 0.785085 | − | 0.174926i | ||||
\(237\) | −16.8465 | + | 9.76607i | −1.09429 | + | 0.634374i | ||||
\(238\) | 7.57129 | + | 10.0939i | 0.490774 | + | 0.654290i | ||||
\(239\) | −18.8702 | + | 10.8947i | −1.22061 | + | 0.704721i | −0.965048 | − | 0.262072i | \(-0.915594\pi\) |
−0.255564 | + | 0.966792i | \(0.582261\pi\) | |||||||
\(240\) | 9.18115 | + | 19.4904i | 0.592641 | + | 1.25810i | ||||
\(241\) | −4.20079 | + | 2.42533i | −0.270597 | + | 0.156229i | −0.629159 | − | 0.777277i | \(-0.716601\pi\) |
0.358562 | + | 0.933506i | \(0.383267\pi\) | |||||||
\(242\) | −3.38359 | + | 7.70091i | −0.217506 | + | 0.495033i | ||||
\(243\) | −7.67457 | + | 13.5684i | −0.492324 | + | 0.870412i | ||||
\(244\) | 5.73621 | + | 25.7447i | 0.367223 | + | 1.64813i | ||||
\(245\) | −0.450237 | − | 21.7632i | −0.0287646 | − | 1.39040i | ||||
\(246\) | −2.75302 | − | 1.20381i | −0.175526 | − | 0.0767519i | ||||
\(247\) | 25.4554 | + | 14.6967i | 1.61969 | + | 0.935128i | ||||
\(248\) | 17.3341 | − | 5.91503i | 1.10072 | − | 0.375605i | ||||
\(249\) | −5.13596 | + | 0.00908173i | −0.325478 | + | 0.000575531i | ||||
\(250\) | 0.158680 | + | 1.44180i | 0.0100358 | + | 0.0911876i | ||||
\(251\) | 15.0188 | 0.947977 | 0.473988 | − | 0.880531i | \(-0.342814\pi\) | ||||
0.473988 | + | 0.880531i | \(0.342814\pi\) | |||||||
\(252\) | 11.5424 | − | 10.8984i | 0.727100 | − | 0.686532i | ||||
\(253\) | 1.93703 | 0.121780 | ||||||||
\(254\) | 1.23843 | + | 11.2527i | 0.0777061 | + | 0.706057i | ||||
\(255\) | 9.05394 | − | 15.7461i | 0.566980 | − | 0.986060i | ||||
\(256\) | 10.2323 | − | 12.3004i | 0.639520 | − | 0.768774i | ||||
\(257\) | 20.6963 | + | 11.9490i | 1.29100 | + | 0.745358i | 0.978831 | − | 0.204669i | \(-0.0656119\pi\) |
0.312167 | + | 0.950027i | \(0.398945\pi\) | |||||||
\(258\) | 0.266058 | + | 2.37878i | 0.0165640 | + | 0.148096i | ||||
\(259\) | 0.106147 | + | 10.2628i | 0.00659563 | + | 0.637696i | ||||
\(260\) | −27.1582 | + | 6.05117i | −1.68428 | + | 0.375278i | ||||
\(261\) | 2.71029 | + | 4.65626i | 0.167763 | + | 0.288215i | ||||
\(262\) | −2.31401 | + | 5.26659i | −0.142960 | + | 0.325371i | ||||
\(263\) | 4.31868 | − | 2.49339i | 0.266301 | − | 0.153749i | −0.360904 | − | 0.932603i | \(-0.617532\pi\) |
0.627206 | + | 0.778854i | \(0.284199\pi\) | |||||||
\(264\) | −10.8071 | − | 2.11188i | −0.665129 | − | 0.129977i | ||||
\(265\) | 5.34703 | − | 3.08711i | 0.328466 | − | 0.189640i | ||||
\(266\) | −2.94188 | − | 24.4065i | −0.180378 | − | 1.49646i | ||||
\(267\) | 22.7386 | + | 13.0746i | 1.39158 | + | 0.800152i | ||||
\(268\) | 5.12226 | + | 22.9892i | 0.312892 | + | 1.40429i | ||||
\(269\) | 6.44486 | + | 3.72094i | 0.392950 | + | 0.226870i | 0.683438 | − | 0.730009i | \(-0.260484\pi\) |
−0.290487 | + | 0.956879i | \(0.593817\pi\) | |||||||
\(270\) | −20.9696 | − | 9.08111i | −1.27617 | − | 0.552659i | ||||
\(271\) | 1.27225 | + | 2.20361i | 0.0772839 | + | 0.133860i | 0.902077 | − | 0.431575i | \(-0.142042\pi\) |
−0.824793 | + | 0.565434i | \(0.808709\pi\) | |||||||
\(272\) | −13.4402 | − | 1.14704i | −0.814934 | − | 0.0695496i | ||||
\(273\) | 10.4650 | + | 17.6294i | 0.633371 | + | 1.06698i | ||||
\(274\) | 12.6221 | + | 17.1951i | 0.762528 | + | 1.03880i | ||||
\(275\) | 9.09083 | + | 5.24859i | 0.548198 | + | 0.316502i | ||||
\(276\) | −0.654389 | − | 2.91269i | −0.0393896 | − | 0.175323i | ||||
\(277\) | −5.95389 | − | 10.3124i | −0.357735 | − | 0.619615i | 0.629847 | − | 0.776719i | \(-0.283117\pi\) |
−0.987582 | + | 0.157104i | \(0.949784\pi\) | |||||||
\(278\) | −6.79866 | − | 9.26186i | −0.407756 | − | 0.555489i | ||||
\(279\) | −9.65374 | + | 16.8582i | −0.577954 | + | 1.00927i | ||||
\(280\) | 17.6778 | + | 15.1335i | 1.05645 | + | 0.904401i | ||||
\(281\) | 1.85332 | − | 3.21004i | 0.110560 | − | 0.191495i | −0.805436 | − | 0.592682i | \(-0.798069\pi\) |
0.915996 | + | 0.401187i | \(0.131402\pi\) | |||||||
\(282\) | 16.6908 | + | 22.6539i | 0.993923 | + | 1.34902i | ||||
\(283\) | −14.8737 | −0.884149 | −0.442075 | − | 0.896978i | \(-0.645757\pi\) | ||||
−0.442075 | + | 0.896978i | \(0.645757\pi\) | |||||||
\(284\) | −1.54660 | − | 6.94127i | −0.0917736 | − | 0.411888i | ||||
\(285\) | −30.6153 | + | 17.7480i | −1.81349 | + | 1.05130i | ||||
\(286\) | 5.72054 | − | 13.0197i | 0.338262 | − | 0.769871i | ||||
\(287\) | −3.24528 | + | 0.0335656i | −0.191563 | + | 0.00198132i | ||||
\(288\) | 0.475354 | + | 16.9639i | 0.0280105 | + | 0.999608i | ||||
\(289\) | −2.81389 | − | 4.87380i | −0.165523 | − | 0.286694i | ||||
\(290\) | −6.36667 | + | 4.67345i | −0.373864 | + | 0.274434i | ||||
\(291\) | 0.0101380 | + | 5.73332i | 0.000594301 | + | 0.336093i | ||||
\(292\) | 8.58708 | + | 2.69745i | 0.502521 | + | 0.157856i | ||||
\(293\) | −4.33341 | + | 2.50189i | −0.253160 | + | 0.146162i | −0.621210 | − | 0.783644i | \(-0.713359\pi\) |
0.368050 | + | 0.929806i | \(0.380025\pi\) | |||||||
\(294\) | 6.54313 | − | 15.8489i | 0.381603 | − | 0.924326i | ||||
\(295\) | −16.6384 | − | 9.60618i | −0.968725 | − | 0.559294i | ||||
\(296\) | −8.26067 | − | 7.22111i | −0.480142 | − | 0.419719i | ||||
\(297\) | 10.0836 | − | 5.89329i | 0.585108 | − | 0.341964i | ||||
\(298\) | 10.4446 | − | 23.7714i | 0.605037 | − | 1.37704i | ||||
\(299\) | 3.85542 | 0.222965 | ||||||||
\(300\) | 4.82108 | − | 15.4429i | 0.278345 | − | 0.891596i | ||||
\(301\) | 1.31578 | + | 2.22553i | 0.0758405 | + | 0.128277i | ||||
\(302\) | −16.2075 | + | 11.8971i | −0.932640 | + | 0.684603i | ||||
\(303\) | −17.0437 | − | 9.80006i | −0.979137 | − | 0.562999i | ||||
\(304\) | 21.5598 | + | 15.0280i | 1.23654 | + | 0.861916i | ||||
\(305\) | 20.5053 | − | 35.5162i | 1.17413 | − | 2.03365i | ||||
\(306\) | 11.5036 | − | 8.50694i | 0.657615 | − | 0.486310i | ||||
\(307\) | −21.7954 | −1.24393 | −0.621963 | − | 0.783046i | \(-0.713665\pi\) | ||||
−0.621963 | + | 0.783046i | \(0.713665\pi\) | |||||||
\(308\) | −11.5817 | + | 2.70657i | −0.659929 | + | 0.154221i | ||||
\(309\) | −25.8009 | + | 0.0456228i | −1.46776 | + | 0.00259539i | ||||
\(310\) | −26.0722 | − | 11.4555i | −1.48080 | − | 0.650628i | ||||
\(311\) | 2.43653 | 0.138163 | 0.0690816 | − | 0.997611i | \(-0.477993\pi\) | ||||
0.0690816 | + | 0.997611i | \(0.477993\pi\) | |||||||
\(312\) | −21.5101 | − | 4.20344i | −1.21777 | − | 0.237973i | ||||
\(313\) | − | 0.317830i | − | 0.0179648i | −0.999960 | − | 0.00898241i | \(-0.997141\pi\) | ||
0.999960 | − | 0.00898241i | \(-0.00285923\pi\) | |||||||
\(314\) | −1.30016 | − | 11.8136i | −0.0733724 | − | 0.666680i | ||||
\(315\) | −24.6800 | + | 0.342557i | −1.39056 | + | 0.0193009i | ||||
\(316\) | −4.88999 | − | 21.9468i | −0.275084 | − | 1.23460i | ||||
\(317\) | −34.6247 | −1.94472 | −0.972360 | − | 0.233488i | \(-0.924986\pi\) | ||||
−0.972360 | + | 0.233488i | \(0.924986\pi\) | |||||||
\(318\) | 4.83327 | − | 0.540584i | 0.271036 | − | 0.0303145i | ||||
\(319\) | − | 4.03660i | − | 0.226006i | ||||||
\(320\) | −24.6542 | + | 3.32591i | −1.37821 | + | 0.185924i | ||||
\(321\) | 12.5638 | + | 7.22414i | 0.701245 | + | 0.403212i | ||||
\(322\) | −1.93483 | − | 2.57948i | −0.107824 | − | 0.143749i | ||||
\(323\) | − | 22.1563i | − | 1.23281i | ||||||
\(324\) | −12.2682 | − | 13.1716i | −0.681567 | − | 0.731755i | ||||
\(325\) | 18.0942 | + | 10.4467i | 1.00368 | + | 0.579478i | ||||
\(326\) | 25.0168 | − | 18.3635i | 1.38555 | − | 1.01706i | ||||
\(327\) | −4.87999 | + | 0.00862911i | −0.269864 | + | 0.000477191i | ||||
\(328\) | 2.28346 | − | 2.61219i | 0.126083 | − | 0.144234i | ||||
\(329\) | 26.4770 | + | 14.9236i | 1.45973 | + | 0.822762i | ||||
\(330\) | 10.1556 | + | 13.7839i | 0.559049 | + | 0.758780i | ||||
\(331\) | 2.97190i | 0.163350i | 0.996659 | + | 0.0816751i | \(0.0260270\pi\) | ||||
−0.996659 | + | 0.0816751i | \(0.973973\pi\) | |||||||
\(332\) | 1.77732 | − | 5.65792i | 0.0975429 | − | 0.310519i | ||||
\(333\) | 11.6374 | − | 0.0411562i | 0.637726 | − | 0.00225534i | ||||
\(334\) | −3.16942 | − | 4.31773i | −0.173423 | − | 0.236256i | ||||
\(335\) | 18.3106 | − | 31.7148i | 1.00041 | − | 1.73277i | ||||
\(336\) | 7.98249 | + | 16.5009i | 0.435480 | + | 0.900198i | ||||
\(337\) | −16.0847 | − | 27.8595i | −0.876190 | − | 1.51760i | −0.855490 | − | 0.517819i | \(-0.826744\pi\) |
−0.0206995 | − | 0.999786i | \(-0.506589\pi\) | |||||||
\(338\) | 3.99058 | − | 9.08239i | 0.217059 | − | 0.494017i | ||||
\(339\) | 0.277111 | − | 0.481936i | 0.0150506 | − | 0.0261752i | ||||
\(340\) | 14.1859 | + | 15.4482i | 0.769339 | + | 0.837794i | ||||
\(341\) | 12.6051 | − | 7.27756i | 0.682604 | − | 0.394102i | ||||
\(342\) | −27.6965 | + | 3.14735i | −1.49765 | + | 0.170189i | ||||
\(343\) | −0.574547 | − | 18.5113i | −0.0310226 | − | 0.999519i | ||||
\(344\) | −2.71165 | − | 0.534882i | −0.146202 | − | 0.0288389i | ||||
\(345\) | −2.31372 | + | 4.02390i | −0.124567 | + | 0.216639i | ||||
\(346\) | 0.438023 | + | 3.97998i | 0.0235483 | + | 0.213965i | ||||
\(347\) | 10.9556i | 0.588125i | 0.955786 | + | 0.294063i | \(0.0950074\pi\) | ||||
−0.955786 | + | 0.294063i | \(0.904993\pi\) | |||||||
\(348\) | −6.06978 | + | 1.36369i | −0.325374 | + | 0.0731013i | ||||
\(349\) | 3.99503 | + | 2.30653i | 0.213849 | + | 0.123466i | 0.603099 | − | 0.797666i | \(-0.293932\pi\) |
−0.389250 | + | 0.921132i | \(0.627266\pi\) | |||||||
\(350\) | −2.09114 | − | 17.3486i | −0.111776 | − | 0.927322i | ||||
\(351\) | 20.0701 | − | 11.7299i | 1.07126 | − | 0.626095i | ||||
\(352\) | 6.08607 | − | 11.1638i | 0.324388 | − | 0.595032i | ||||
\(353\) | −5.48109 | + | 3.16451i | −0.291729 | + | 0.168430i | −0.638721 | − | 0.769438i | \(-0.720536\pi\) |
0.346992 | + | 0.937868i | \(0.387203\pi\) | |||||||
\(354\) | −8.97664 | − | 12.1837i | −0.477103 | − | 0.647557i | ||||
\(355\) | −5.52862 | + | 9.57586i | −0.293429 | + | 0.508234i | ||||
\(356\) | −22.3083 | + | 20.4855i | −1.18234 | + | 1.08573i | ||||
\(357\) | 7.56420 | − | 13.4759i | 0.400340 | − | 0.713220i | ||||
\(358\) | 12.4188 | + | 5.45652i | 0.656354 | + | 0.288386i | ||||
\(359\) | −5.17029 | + | 2.98507i | −0.272878 | + | 0.157546i | −0.630195 | − | 0.776437i | \(-0.717025\pi\) |
0.357317 | + | 0.933983i | \(0.383692\pi\) | |||||||
\(360\) | 17.2958 | − | 19.9275i | 0.911570 | − | 1.05027i | ||||
\(361\) | −12.0833 | + | 20.9289i | −0.635964 | + | 1.10152i | ||||
\(362\) | 1.09461 | + | 9.94589i | 0.0575314 | + | 0.522744i | ||||
\(363\) | 10.3019 | − | 0.0182164i | 0.540709 | − | 0.000956116i | ||||
\(364\) | −23.0520 | + | 5.38709i | −1.20825 | + | 0.282360i | ||||
\(365\) | −6.99742 | − | 12.1199i | −0.366262 | − | 0.634384i | ||||
\(366\) | 26.0073 | − | 19.1615i | 1.35942 | − | 1.00159i | ||||
\(367\) | −2.61563 | − | 4.53040i | −0.136535 | − | 0.236485i | 0.789648 | − | 0.613560i | \(-0.210263\pi\) |
−0.926183 | + | 0.377075i | \(0.876930\pi\) | |||||||
\(368\) | 3.43463 | + | 0.293125i | 0.179043 | + | 0.0152802i | ||||
\(369\) | 0.0130144 | + | 3.67998i | 0.000677502 | + | 0.191572i | ||||
\(370\) | 1.86626 | + | 16.9573i | 0.0970220 | + | 0.881566i | ||||
\(371\) | 4.52189 | − | 2.67345i | 0.234765 | − | 0.138799i | ||||
\(372\) | −15.2016 | − | 16.4955i | −0.788164 | − | 0.855254i | ||||
\(373\) | −5.78658 | + | 10.0226i | −0.299618 | + | 0.518953i | −0.976048 | − | 0.217553i | \(-0.930192\pi\) |
0.676431 | + | 0.736506i | \(0.263526\pi\) | |||||||
\(374\) | −10.6552 | + | 1.17268i | −0.550969 | + | 0.0606377i | ||||
\(375\) | 1.53692 | − | 0.890970i | 0.0793664 | − | 0.0460095i | ||||
\(376\) | −30.7506 | + | 10.4932i | −1.58584 | + | 0.541147i | ||||
\(377\) | − | 8.03435i | − | 0.413790i | ||||||
\(378\) | −17.9200 | − | 7.54135i | −0.921708 | − | 0.387885i | ||||
\(379\) | 7.65108i | 0.393009i | 0.980503 | + | 0.196505i | \(0.0629591\pi\) | ||||
−0.980503 | + | 0.196505i | \(0.937041\pi\) | |||||||
\(380\) | −8.88665 | − | 39.8841i | −0.455875 | − | 2.04601i | ||||
\(381\) | 11.9951 | − | 6.95367i | 0.614527 | − | 0.356247i | ||||
\(382\) | 2.76460 | + | 25.1199i | 0.141449 | + | 1.28524i | ||||
\(383\) | −4.69924 | + | 8.13932i | −0.240120 | + | 0.415900i | −0.960748 | − | 0.277422i | \(-0.910520\pi\) |
0.720628 | + | 0.693322i | \(0.243853\pi\) | |||||||
\(384\) | −18.8429 | − | 5.38007i | −0.961573 | − | 0.274551i | ||||
\(385\) | 16.1101 | + | 9.08034i | 0.821049 | + | 0.462777i | ||||
\(386\) | −18.8287 | + | 2.07222i | −0.958355 | + | 0.105473i | ||||
\(387\) | 2.53361 | − | 1.47475i | 0.128790 | − | 0.0749657i | ||||
\(388\) | −6.31598 | − | 1.98403i | −0.320645 | − | 0.100724i | ||||
\(389\) | 5.77972 | + | 10.0108i | 0.293043 | + | 0.507566i | 0.974528 | − | 0.224266i | \(-0.0719986\pi\) |
−0.681484 | + | 0.731833i | \(0.738665\pi\) | |||||||
\(390\) | 20.2135 | + | 27.4352i | 1.02355 | + | 1.38924i | ||||
\(391\) | −1.45308 | − | 2.51680i | −0.0734853 | − | 0.127280i | ||||
\(392\) | 15.1728 | + | 12.7195i | 0.766343 | + | 0.642431i | ||||
\(393\) | 7.04537 | − | 0.0124581i | 0.355392 | − | 0.000628427i | ||||
\(394\) | 10.7360 | − | 1.18157i | 0.540872 | − | 0.0595264i | ||||
\(395\) | −17.4803 | + | 30.2768i | −0.879529 | + | 1.52339i | ||||
\(396\) | 2.97951 | + | 13.1530i | 0.149726 | + | 0.660963i | ||||
\(397\) | 24.9433 | − | 14.4010i | 1.25187 | − | 0.722765i | 0.280386 | − | 0.959887i | \(-0.409538\pi\) |
0.971480 | + | 0.237122i | \(0.0762042\pi\) | |||||||
\(398\) | −13.6743 | + | 31.1222i | −0.685432 | + | 1.56002i | ||||
\(399\) | −25.8902 | + | 15.3687i | −1.29613 | + | 0.769399i | ||||
\(400\) | 15.3251 | + | 10.6822i | 0.766255 | + | 0.534110i | ||||
\(401\) | 1.14117 | − | 1.97656i | 0.0569871 | − | 0.0987045i | −0.836124 | − | 0.548540i | \(-0.815184\pi\) |
0.893112 | + | 0.449835i | \(0.148517\pi\) | |||||||
\(402\) | 23.2237 | − | 17.1106i | 1.15829 | − | 0.853398i | ||||
\(403\) | 25.0889 | − | 14.4851i | 1.24977 | − | 0.721553i | ||||
\(404\) | 16.7212 | − | 15.3549i | 0.831912 | − | 0.763937i | ||||
\(405\) | 0.197953 | + | 27.9865i | 0.00983637 | + | 1.39066i | ||||
\(406\) | −5.37541 | + | 4.03202i | −0.266777 | + | 0.200106i | ||||
\(407\) | −7.55107 | − | 4.35961i | −0.374293 | − | 0.216098i | ||||
\(408\) | 5.36301 | + | 15.6260i | 0.265509 | + | 0.773602i | ||||
\(409\) | − | 25.5722i | − | 1.26447i | −0.774779 | − | 0.632233i | \(-0.782139\pi\) | ||
0.774779 | − | 0.632233i | \(-0.217861\pi\) | |||||||
\(410\) | −5.36221 | + | 0.590146i | −0.264821 | + | 0.0291452i | ||||
\(411\) | 13.0222 | − | 22.6475i | 0.642337 | − | 1.11712i | ||||
\(412\) | 8.92850 | − | 28.4230i | 0.439875 | − | 1.40030i | ||||
\(413\) | −14.2399 | − | 8.02618i | −0.700698 | − | 0.394942i | ||||
\(414\) | −2.93972 | + | 2.17394i | −0.144479 | + | 0.106843i | ||||
\(415\) | −7.98563 | + | 4.61051i | −0.391999 | + | 0.226321i | ||||
\(416\) | 12.1136 | − | 22.2201i | 0.593917 | − | 1.08943i | ||||
\(417\) | −7.01417 | + | 12.1987i | −0.343485 | + | 0.597371i | ||||
\(418\) | 19.1205 | + | 8.40109i | 0.935215 | + | 0.410911i | ||||
\(419\) | −8.09827 | − | 14.0266i | −0.395626 | − | 0.685245i | 0.597555 | − | 0.801828i | \(-0.296139\pi\) |
−0.993181 | + | 0.116584i | \(0.962806\pi\) | |||||||
\(420\) | 8.21149 | − | 27.2922i | 0.400680 | − | 1.33172i | ||||
\(421\) | 7.05042 | − | 12.2117i | 0.343616 | − | 0.595161i | −0.641485 | − | 0.767135i | \(-0.721681\pi\) |
0.985101 | + | 0.171975i | \(0.0550147\pi\) | |||||||
\(422\) | 10.6186 | − | 7.79456i | 0.516905 | − | 0.379433i | ||||
\(423\) | 17.1257 | − | 29.9063i | 0.832678 | − | 1.45409i | ||||
\(424\) | −1.08679 | + | 5.50962i | −0.0527791 | + | 0.267571i | ||||
\(425\) | − | 15.7491i | − | 0.763943i | ||||||
\(426\) | −7.01206 | + | 5.16630i | −0.339736 | + | 0.250308i | ||||
\(427\) | 17.1326 | − | 30.3963i | 0.829105 | − | 1.47098i | ||||
\(428\) | −12.3261 | + | 11.3189i | −0.595804 | + | 0.547121i | ||||
\(429\) | −17.4171 | + | 0.0307980i | −0.840905 | + | 0.00148694i | ||||
\(430\) | 2.54296 | + | 3.46429i | 0.122632 | + | 0.167063i | ||||
\(431\) | −34.1956 | − | 19.7428i | −1.64714 | − | 0.950978i | −0.978200 | − | 0.207664i | \(-0.933414\pi\) |
−0.668942 | − | 0.743314i | \(-0.733253\pi\) | |||||||
\(432\) | 18.7714 | − | 8.92374i | 0.903141 | − | 0.429344i | ||||
\(433\) | 9.21684i | 0.442933i | 0.975168 | + | 0.221466i | \(0.0710843\pi\) | ||||
−0.975168 | + | 0.221466i | \(0.928916\pi\) | |||||||
\(434\) | −22.2821 | − | 9.51649i | −1.06957 | − | 0.456806i | ||||
\(435\) | 8.38545 | + | 4.82159i | 0.402051 | + | 0.231178i | ||||
\(436\) | 1.68874 | − | 5.37593i | 0.0808758 | − | 0.257460i | ||||
\(437\) | 5.66200i | 0.270850i | ||||||||
\(438\) | −1.22532 | − | 10.9554i | −0.0585480 | − | 0.523468i | ||||
\(439\) | −0.0764266 | −0.00364764 | −0.00182382 | − | 0.999998i | \(-0.500581\pi\) | ||||
−0.00182382 | + | 0.999998i | \(0.500581\pi\) | |||||||
\(440\) | −18.7104 | + | 6.38467i | −0.891985 | + | 0.304377i | ||||
\(441\) | −20.9938 | + | 0.508604i | −0.999707 | + | 0.0242192i | ||||
\(442\) | −21.2080 | + | 2.33407i | −1.00876 | + | 0.111020i | ||||
\(443\) | − | 32.7993i | − | 1.55834i | −0.626811 | − | 0.779171i | \(-0.715640\pi\) | ||
0.626811 | − | 0.779171i | \(-0.284360\pi\) | |||||||
\(444\) | −4.00451 | + | 12.8273i | −0.190046 | + | 0.608755i | ||||
\(445\) | 47.0920 | 2.23238 | ||||||||
\(446\) | 4.96993 | − | 11.3113i | 0.235333 | − | 0.535608i | ||||
\(447\) | −31.8001 | + | 0.0562310i | −1.50409 | + | 0.00265964i | ||||
\(448\) | −20.9456 | + | 3.04650i | −0.989587 | + | 0.143934i | ||||
\(449\) | −4.56654 | −0.215508 | −0.107754 | − | 0.994178i | \(-0.534366\pi\) | ||||
−0.107754 | + | 0.994178i | \(0.534366\pi\) | |||||||
\(450\) | −19.6872 | + | 2.23719i | −0.928061 | + | 0.105462i | ||||
\(451\) | 1.37859 | − | 2.38780i | 0.0649155 | − | 0.112437i | ||||
\(452\) | 0.434183 | + | 0.472816i | 0.0204222 | + | 0.0222394i | ||||
\(453\) | 21.3467 | + | 12.2743i | 1.00296 | + | 0.576695i | ||||
\(454\) | 18.2285 | + | 24.8328i | 0.855504 | + | 1.16546i | ||||
\(455\) | 32.0653 | + | 18.0733i | 1.50324 | + | 0.847290i | ||||
\(456\) | 6.17310 | − | 31.5894i | 0.289082 | − | 1.47931i | ||||
\(457\) | 12.7046 | 0.594297 | 0.297148 | − | 0.954831i | \(-0.403964\pi\) | ||||
0.297148 | + | 0.954831i | \(0.403964\pi\) | |||||||
\(458\) | −11.0057 | − | 4.83565i | −0.514264 | − | 0.225955i | ||||
\(459\) | −15.2215 | − | 8.68080i | −0.710478 | − | 0.405185i | ||||
\(460\) | −3.62519 | − | 3.94775i | −0.169025 | − | 0.184065i | ||||
\(461\) | −5.25347 | − | 3.03309i | −0.244679 | − | 0.141265i | 0.372647 | − | 0.927973i | \(-0.378450\pi\) |
−0.617325 | + | 0.786708i | \(0.711784\pi\) | |||||||
\(462\) | 8.76133 | + | 11.6375i | 0.407614 | + | 0.541425i | ||||
\(463\) | −22.5045 | + | 12.9930i | −1.04587 | + | 0.603835i | −0.921491 | − | 0.388399i | \(-0.873028\pi\) |
−0.124382 | + | 0.992234i | \(0.539695\pi\) | |||||||
\(464\) | 0.610846 | − | 7.15747i | 0.0283578 | − | 0.332277i | ||||
\(465\) | 0.0616736 | + | 34.8781i | 0.00286005 | + | 1.61743i | ||||
\(466\) | 15.2930 | + | 20.8337i | 0.708432 | + | 0.965102i | ||||
\(467\) | −5.64144 | − | 9.77126i | −0.261055 | − | 0.452160i | 0.705468 | − | 0.708742i | \(-0.250737\pi\) |
−0.966522 | + | 0.256582i | \(0.917404\pi\) | |||||||
\(468\) | 5.93034 | + | 26.1794i | 0.274130 | + | 1.21015i | ||||
\(469\) | 15.2989 | − | 27.1429i | 0.706437 | − | 1.25334i | ||||
\(470\) | 46.2519 | + | 20.3220i | 2.13344 | + | 0.937382i | ||||
\(471\) | −12.5930 | + | 7.30028i | −0.580254 | + | 0.336379i | ||||
\(472\) | 16.5383 | − | 5.64346i | 0.761237 | − | 0.259761i | ||||
\(473\) | −2.19643 | −0.100992 | ||||||||
\(474\) | −22.1706 | + | 16.3347i | −1.01833 | + | 0.750278i | ||||
\(475\) | −15.3418 | + | 26.5728i | −0.703931 | + | 1.21924i | ||||
\(476\) | 12.2048 | + | 13.0179i | 0.559405 | + | 0.596674i | ||||
\(477\) | −2.99644 | − | 5.14786i | −0.137198 | − | 0.235704i | ||||
\(478\) | −24.8408 | + | 18.2344i | −1.13619 | + | 0.834021i | ||||
\(479\) | 7.94418 | + | 13.7597i | 0.362979 | + | 0.628698i | 0.988450 | − | 0.151550i | \(-0.0484263\pi\) |
−0.625471 | + | 0.780248i | \(0.715093\pi\) | |||||||
\(480\) | 15.9215 | + | 25.9777i | 0.726715 | + | 1.18571i | ||||
\(481\) | −15.0295 | − | 8.67728i | −0.685286 | − | 0.395650i | ||||
\(482\) | −5.52994 | + | 4.05925i | −0.251882 | + | 0.184894i | ||||
\(483\) | −1.93302 | + | 3.44374i | −0.0879555 | + | 0.156696i | ||||
\(484\) | −3.56500 | + | 11.3488i | −0.162045 | + | 0.515857i | ||||
\(485\) | 5.14675 | + | 8.91443i | 0.233702 | + | 0.404784i | ||||
\(486\) | −8.68918 | + | 20.2608i | −0.394149 | + | 0.919046i | ||||
\(487\) | −4.87135 | − | 2.81247i | −0.220742 | − | 0.127445i | 0.385552 | − | 0.922686i | \(-0.374011\pi\) |
−0.606294 | + | 0.795241i | \(0.707344\pi\) | |||||||
\(488\) | 12.0465 | + | 35.3025i | 0.545319 | + | 1.59807i | ||||
\(489\) | −32.9492 | − | 18.9456i | −1.49001 | − | 0.856751i | ||||
\(490\) | −3.99987 | − | 30.5234i | −0.180696 | − | 1.37891i | ||||
\(491\) | 8.97587 | − | 5.18222i | 0.405075 | − | 0.233870i | −0.283596 | − | 0.958944i | \(-0.591528\pi\) |
0.688672 | + | 0.725073i | \(0.258194\pi\) | |||||||
\(492\) | −4.05623 | − | 1.26630i | −0.182869 | − | 0.0570894i | ||||
\(493\) | −5.24480 | + | 3.02808i | −0.236214 | + | 0.136378i | ||||
\(494\) | 38.0570 | + | 16.7213i | 1.71227 | + | 0.752328i | ||||
\(495\) | 10.4202 | − | 18.1967i | 0.468354 | − | 0.817880i | ||||
\(496\) | 23.4519 | − | 10.9967i | 1.05302 | − | 0.493765i | ||||
\(497\) | −4.61929 | + | 8.19544i | −0.207203 | + | 0.367616i | ||||
\(498\) | −7.21835 | + | 0.807347i | −0.323462 | + | 0.0361781i | ||||
\(499\) | 9.99521 | + | 5.77074i | 0.447447 | + | 0.258334i | 0.706751 | − | 0.707462i | \(-0.250160\pi\) |
−0.259304 | + | 0.965796i | \(0.583493\pi\) | |||||||
\(500\) | 0.446120 | + | 2.00223i | 0.0199511 | + | 0.0895424i | ||||
\(501\) | −3.26989 | + | 5.68681i | −0.146088 | + | 0.254068i | ||||
\(502\) | 21.1123 | − | 2.32354i | 0.942287 | − | 0.103705i | ||||
\(503\) | 11.7098 | 0.522114 | 0.261057 | − | 0.965323i | \(-0.415929\pi\) | ||||
0.261057 | + | 0.965323i | \(0.415929\pi\) | |||||||
\(504\) | 14.5393 | − | 17.1058i | 0.647632 | − | 0.761953i | ||||
\(505\) | −35.2978 | −1.57073 | ||||||||
\(506\) | 2.72293 | − | 0.299676i | 0.121049 | − | 0.0133222i | ||||
\(507\) | −12.1500 | + | 0.0214843i | −0.539598 | + | 0.000954152i | ||||
\(508\) | 3.48179 | + | 15.6266i | 0.154480 | + | 0.693319i | ||||
\(509\) | −24.2423 | − | 13.9963i | −1.07452 | − | 0.620376i | −0.145109 | − | 0.989416i | \(-0.546353\pi\) |
−0.929414 | + | 0.369040i | \(0.879687\pi\) | |||||||
\(510\) | 10.2913 | − | 23.5355i | 0.455706 | − | 1.04217i | ||||
\(511\) | −6.05979 | − | 10.2496i | −0.268069 | − | 0.453415i | ||||
\(512\) | 12.4809 | − | 18.8740i | 0.551581 | − | 0.834121i | ||||
\(513\) | 17.2263 | + | 29.4746i | 0.760560 | + | 1.30134i | ||||
\(514\) | 30.9419 | + | 13.5951i | 1.36479 | + | 0.599655i | ||||
\(515\) | −40.1165 | + | 23.1613i | −1.76774 | + | 1.02061i | ||||
\(516\) | 0.742023 | + | 3.30275i | 0.0326657 | + | 0.145395i | ||||
\(517\) | −22.3613 | + | 12.9103i | −0.983451 | + | 0.567796i | ||||
\(518\) | 1.73695 | + | 14.4102i | 0.0763174 | + | 0.633147i | ||||
\(519\) | 4.24256 | − | 2.45945i | 0.186228 | − | 0.107958i | ||||
\(520\) | −37.2408 | + | 12.7079i | −1.63312 | + | 0.557279i | ||||
\(521\) | −11.9117 | − | 6.87723i | −0.521862 | − | 0.301297i | 0.215834 | − | 0.976430i | \(-0.430753\pi\) |
−0.737696 | + | 0.675133i | \(0.764086\pi\) | |||||||
\(522\) | 4.53029 | + | 6.12611i | 0.198286 | + | 0.268133i | ||||
\(523\) | −5.47135 | − | 9.47665i | −0.239245 | − | 0.414385i | 0.721253 | − | 0.692672i | \(-0.243567\pi\) |
−0.960498 | + | 0.278287i | \(0.910233\pi\) | |||||||
\(524\) | −2.43808 | + | 7.76138i | −0.106508 | + | 0.339058i | ||||
\(525\) | −18.4032 | + | 10.9244i | −0.803182 | + | 0.476779i | ||||
\(526\) | 5.68513 | − | 4.17316i | 0.247883 | − | 0.181959i | ||||
\(527\) | −18.9116 | − | 10.9186i | −0.823803 | − | 0.475623i | ||||
\(528\) | −15.5185 | − | 1.29677i | −0.675356 | − | 0.0564348i | ||||
\(529\) | −11.1287 | − | 19.2754i | −0.483855 | − | 0.838062i | ||||
\(530\) | 7.03886 | − | 5.16687i | 0.305748 | − | 0.224434i | ||||
\(531\) | −9.21051 | + | 16.0842i | −0.399702 | + | 0.697994i | ||||
\(532\) | −7.91139 | − | 33.8537i | −0.343002 | − | 1.46775i | ||||
\(533\) | 2.74392 | − | 4.75262i | 0.118853 | − | 0.205859i | ||||
\(534\) | 33.9870 | + | 14.8614i | 1.47076 | + | 0.643116i | ||||
\(535\) | 26.0199 | 1.12494 | ||||||||
\(536\) | 10.7571 | + | 31.5240i | 0.464637 | + | 1.36163i | ||||
\(537\) | −0.0293766 | − | 16.6132i | −0.00126769 | − | 0.716914i | ||||
\(538\) | 9.63538 | + | 4.23355i | 0.415411 | + | 0.182521i | ||||
\(539\) | 13.7858 | + | 7.58346i | 0.593797 | + | 0.326643i | ||||
\(540\) | −30.8824 | − | 9.52136i | −1.32897 | − | 0.409734i | ||||
\(541\) | 0.448496 | + | 0.776818i | 0.0192824 | + | 0.0333980i | 0.875506 | − | 0.483208i | \(-0.160529\pi\) |
−0.856223 | + | 0.516606i | \(0.827195\pi\) | |||||||
\(542\) | 2.12936 | + | 2.90084i | 0.0914638 | + | 0.124602i | ||||
\(543\) | 10.6021 | − | 6.14612i | 0.454978 | − | 0.263755i | ||||
\(544\) | −19.0707 | + | 0.466901i | −0.817651 | + | 0.0200182i | ||||
\(545\) | −7.58764 | + | 4.38072i | −0.325019 | + | 0.187650i | ||||
\(546\) | 17.4384 | + | 23.1630i | 0.746293 | + | 0.991285i | ||||
\(547\) | 28.3909 | + | 16.3915i | 1.21391 | + | 0.700849i | 0.963608 | − | 0.267320i | \(-0.0861379\pi\) |
0.250298 | + | 0.968169i | \(0.419471\pi\) | |||||||
\(548\) | 20.4034 | + | 22.2189i | 0.871592 | + | 0.949145i | ||||
\(549\) | −34.3331 | − | 19.6607i | −1.46530 | − | 0.839098i | ||||
\(550\) | 13.5912 | + | 5.97165i | 0.579532 | + | 0.254632i | ||||
\(551\) | 11.7991 | 0.502659 | ||||||||
\(552\) | −1.37051 | − | 3.99320i | −0.0583328 | − | 0.169962i | ||||
\(553\) | −14.6052 | + | 25.9122i | −0.621075 | + | 1.10190i | ||||
\(554\) | −9.96497 | − | 13.5753i | −0.423371 | − | 0.576761i | ||||
\(555\) | 18.0760 | − | 10.4788i | 0.767283 | − | 0.444802i | ||||
\(556\) | −10.9899 | − | 11.9678i | −0.466078 | − | 0.507549i | ||||
\(557\) | −3.85227 | + | 6.67232i | −0.163226 | + | 0.282715i | −0.936024 | − | 0.351937i | \(-0.885523\pi\) |
0.772798 | + | 0.634652i | \(0.218857\pi\) | |||||||
\(558\) | −10.9624 | + | 25.1915i | −0.464075 | + | 1.06644i | ||||
\(559\) | −4.37173 | −0.184904 | ||||||||
\(560\) | 27.1915 | + | 18.5387i | 1.14905 | + | 0.783401i | ||||
\(561\) | 6.58447 | + | 11.3582i | 0.277996 | + | 0.479544i | ||||
\(562\) | 2.10863 | − | 4.79916i | 0.0889473 | − | 0.202440i | ||||
\(563\) | 26.1423 | 1.10177 | 0.550883 | − | 0.834582i | \(-0.314291\pi\) | ||||
0.550883 | + | 0.834582i | \(0.314291\pi\) | |||||||
\(564\) | 26.9675 | + | 29.2630i | 1.13553 | + | 1.23219i | ||||
\(565\) | − | 0.998097i | − | 0.0419902i | ||||||
\(566\) | −20.9083 | + | 2.30110i | −0.878843 | + | 0.0967223i | ||||
\(567\) | 0.414675 | + | 23.8082i | 0.0174147 | + | 0.999848i | ||||
\(568\) | −3.24797 | − | 9.51825i | −0.136282 | − | 0.399377i | ||||
\(569\) | 34.8933 | 1.46280 | 0.731402 | − | 0.681947i | \(-0.238866\pi\) | ||||
0.731402 | + | 0.681947i | \(0.238866\pi\) | |||||||
\(570\) | −40.2909 | + | 29.6853i | −1.68760 | + | 1.24338i | ||||
\(571\) | 1.24825i | 0.0522377i | 0.999659 | + | 0.0261188i | \(0.00831483\pi\) | ||||
−0.999659 | + | 0.0261188i | \(0.991685\pi\) | |||||||
\(572\) | 6.02724 | − | 19.1872i | 0.252012 | − | 0.802255i | ||||
\(573\) | 26.7771 | − | 15.5230i | 1.11863 | − | 0.648482i | ||||
\(574\) | −4.55678 | + | 0.549259i | −0.190196 | + | 0.0229256i | ||||
\(575\) | 4.02466i | 0.167840i | ||||||||
\(576\) | 3.29269 | + | 23.7731i | 0.137195 | + | 0.990544i | ||||
\(577\) | −17.3046 | − | 9.99080i | −0.720399 | − | 0.415923i | 0.0945005 | − | 0.995525i | \(-0.469875\pi\) |
−0.814900 | + | 0.579602i | \(0.803208\pi\) | |||||||
\(578\) | −4.70958 | − | 6.41589i | −0.195893 | − | 0.266866i | ||||
\(579\) | 11.6353 | + | 20.0709i | 0.483546 | + | 0.834117i | ||||
\(580\) | −8.22677 | + | 7.55457i | −0.341598 | + | 0.313686i | ||||
\(581\) | −6.75331 | + | 3.99272i | −0.280175 | + | 0.165646i | ||||
\(582\) | 0.901248 | + | 8.05790i | 0.0373579 | + | 0.334011i | ||||
\(583\) | 4.46278i | 0.184829i | ||||||||
\(584\) | 12.4884 | + | 2.46338i | 0.516774 | + | 0.101935i | ||||
\(585\) | 20.7402 | − | 36.2183i | 0.857501 | − | 1.49744i | ||||
\(586\) | −5.70451 | + | 4.18739i | −0.235651 | + | 0.172980i | ||||
\(587\) | 12.2337 | − | 21.1895i | 0.504940 | − | 0.874582i | −0.495043 | − | 0.868868i | \(-0.664848\pi\) |
0.999984 | − | 0.00571398i | \(-0.00181883\pi\) | |||||||
\(588\) | 6.74588 | − | 23.2915i | 0.278195 | − | 0.960524i | ||||
\(589\) | 21.2725 | + | 36.8451i | 0.876520 | + | 1.51818i | ||||
\(590\) | −24.8752 | − | 10.9295i | −1.02410 | − | 0.449962i | ||||
\(591\) | −6.63438 | − | 11.4443i | −0.272902 | − | 0.470755i | ||||
\(592\) | −12.7294 | − | 8.87291i | −0.523176 | − | 0.364674i | ||||
\(593\) | 34.1540 | − | 19.7188i | 1.40254 | − | 0.809755i | 0.407885 | − | 0.913033i | \(-0.366266\pi\) |
0.994653 | + | 0.103278i | \(0.0329331\pi\) | |||||||
\(594\) | 13.2630 | − | 9.84437i | 0.544187 | − | 0.403920i | ||||
\(595\) | −0.286951 | − | 27.7438i | −0.0117639 | − | 1.13738i | ||||
\(596\) | 11.0045 | − | 35.0319i | 0.450763 | − | 1.43496i | ||||
\(597\) | 41.6337 | − | 0.0736193i | 1.70395 | − | 0.00301304i | ||||
\(598\) | 5.41966 | − | 0.596469i | 0.221626 | − | 0.0243914i | ||||
\(599\) | 22.7169i | 0.928187i | 0.885786 | + | 0.464094i | \(0.153620\pi\) | ||||
−0.885786 | + | 0.464094i | \(0.846380\pi\) | |||||||
\(600\) | 4.38795 | − | 22.4544i | 0.179137 | − | 0.916695i | ||||
\(601\) | −4.60939 | − | 2.66123i | −0.188021 | − | 0.108554i | 0.403035 | − | 0.915185i | \(-0.367955\pi\) |
−0.591056 | + | 0.806631i | \(0.701289\pi\) | |||||||
\(602\) | 2.19394 | + | 2.92492i | 0.0894184 | + | 0.119211i | ||||
\(603\) | −30.6584 | − | 17.5564i | −1.24851 | − | 0.714951i | ||||
\(604\) | −20.9428 | + | 19.2316i | −0.852149 | + | 0.782521i | ||||
\(605\) | 16.0179 | − | 9.24791i | 0.651219 | − | 0.375981i | ||||
\(606\) | −25.4750 | − | 11.1394i | −1.03485 | − | 0.452506i | ||||
\(607\) | −12.4527 | + | 21.5687i | −0.505440 | + | 0.875447i | 0.494540 | + | 0.869155i | \(0.335336\pi\) |
−0.999980 | + | 0.00629282i | \(0.997997\pi\) | |||||||
\(608\) | 32.6321 | + | 17.7898i | 1.32341 | + | 0.721471i | ||||
\(609\) | 7.17646 | + | 4.02824i | 0.290805 | + | 0.163233i | ||||
\(610\) | 23.3301 | − | 53.0984i | 0.944609 | − | 2.14989i | ||||
\(611\) | −44.5075 | + | 25.6964i | −1.80058 | + | 1.03957i | ||||
\(612\) | 14.8547 | − | 13.7381i | 0.600468 | − | 0.555331i | ||||
\(613\) | −12.0689 | + | 20.9039i | −0.487457 | + | 0.844300i | −0.999896 | − | 0.0144232i | \(-0.995409\pi\) |
0.512439 | + | 0.858724i | \(0.328742\pi\) | |||||||
\(614\) | −30.6383 | + | 3.37194i | −1.23646 | + | 0.136080i | ||||
\(615\) | 3.31361 | + | 5.71598i | 0.133618 | + | 0.230490i | ||||
\(616\) | −15.8620 | + | 5.59649i | −0.639097 | + | 0.225489i | ||||
\(617\) | 12.0546 | + | 20.8792i | 0.485301 | + | 0.840567i | 0.999857 | − | 0.0168900i | \(-0.00537652\pi\) |
−0.514556 | + | 0.857457i | \(0.672043\pi\) | |||||||
\(618\) | −36.2620 | + | 4.05577i | −1.45867 | + | 0.163147i | ||||
\(619\) | −17.7628 | − | 30.7660i | −0.713946 | − | 1.23659i | −0.963365 | − | 0.268194i | \(-0.913573\pi\) |
0.249419 | − | 0.968396i | \(-0.419760\pi\) | |||||||
\(620\) | −38.4227 | − | 12.0697i | −1.54309 | − | 0.484730i | ||||
\(621\) | 3.88983 | + | 2.21836i | 0.156093 | + | 0.0890199i | ||||
\(622\) | 3.42510 | − | 0.376954i | 0.137334 | − | 0.0151145i | ||||
\(623\) | 40.0642 | − | 0.414380i | 1.60514 | − | 0.0166018i | ||||
\(624\) | −30.8877 | − | 2.58107i | −1.23650 | − | 0.103325i | ||||
\(625\) | 13.2702 | − | 22.9846i | 0.530807 | − | 0.919385i | ||||
\(626\) | −0.0491712 | − | 0.446782i | −0.00196528 | − | 0.0178570i | ||||
\(627\) | −0.0452294 | − | 25.5784i | −0.00180629 | − | 1.02150i | ||||
\(628\) | −3.65534 | − | 16.4055i | −0.145864 | − | 0.654652i | ||||
\(629\) | 13.0816i | 0.521597i | ||||||||
\(630\) | −34.6403 | + | 4.29977i | −1.38010 | + | 0.171307i | ||||
\(631\) | 29.1706i | 1.16126i | 0.814166 | + | 0.580632i | \(0.197194\pi\) | ||||
−0.814166 | + | 0.580632i | \(0.802806\pi\) | |||||||
\(632\) | −10.2694 | − | 30.0946i | −0.408493 | − | 1.19710i | ||||
\(633\) | −13.9856 | − | 8.04164i | −0.555877 | − | 0.319626i | ||||
\(634\) | −48.6729 | + | 5.35677i | −1.93305 | + | 0.212744i | ||||
\(635\) | 12.4464 | − | 21.5578i | 0.493920 | − | 0.855494i | ||||
\(636\) | 6.71062 | − | 1.50766i | 0.266093 | − | 0.0597828i | ||||
\(637\) | 27.4390 | + | 15.0940i | 1.08717 | + | 0.598044i | ||||
\(638\) | −0.624499 | − | 5.67435i | −0.0247241 | − | 0.224650i | ||||
\(639\) | 9.25689 | + | 5.30091i | 0.366197 | + | 0.209701i | ||||
\(640\) | −34.1425 | + | 8.48955i | −1.34960 | + | 0.335579i | ||||
\(641\) | −1.13191 | − | 1.96052i | −0.0447077 | − | 0.0774360i | 0.842806 | − | 0.538218i | \(-0.180902\pi\) |
−0.887513 | + | 0.460782i | \(0.847569\pi\) | |||||||
\(642\) | 18.7789 | + | 8.21142i | 0.741146 | + | 0.324079i | ||||
\(643\) | −5.41789 | − | 9.38406i | −0.213661 | − | 0.370071i | 0.739197 | − | 0.673489i | \(-0.235205\pi\) |
−0.952857 | + | 0.303418i | \(0.901872\pi\) | |||||||
\(644\) | −3.11891 | − | 3.32670i | −0.122902 | − | 0.131090i | ||||
\(645\) | 2.62357 | − | 4.56277i | 0.103303 | − | 0.179659i | ||||
\(646\) | −3.42778 | − | 31.1456i | −0.134864 | − | 1.22541i | ||||
\(647\) | 11.2094 | − | 19.4153i | 0.440687 | − | 0.763293i | −0.557053 | − | 0.830477i | \(-0.688068\pi\) |
0.997741 | + | 0.0671839i | \(0.0214014\pi\) | |||||||
\(648\) | −19.2835 | − | 16.6176i | −0.757528 | − | 0.652803i | ||||
\(649\) | 12.0264 | − | 6.94343i | 0.472076 | − | 0.272553i | ||||
\(650\) | 27.0517 | + | 11.8858i | 1.06105 | + | 0.466201i | ||||
\(651\) | 0.359375 | + | 29.6724i | 0.0140850 | + | 1.16295i | ||||
\(652\) | 32.3257 | − | 29.6844i | 1.26597 | − | 1.16253i | ||||
\(653\) | 16.2140 | − | 28.0834i | 0.634502 | − | 1.09899i | −0.352119 | − | 0.935955i | \(-0.614539\pi\) |
0.986621 | − | 0.163034i | \(-0.0521279\pi\) | |||||||
\(654\) | −6.85859 | + | 0.767109i | −0.268192 | + | 0.0299963i | ||||
\(655\) | 10.9545 | − | 6.32457i | 0.428027 | − | 0.247122i | ||||
\(656\) | 2.80579 | − | 4.02529i | 0.109548 | − | 0.157161i | ||||
\(657\) | −11.6684 | + | 6.79190i | −0.455229 | + | 0.264977i | ||||
\(658\) | 39.5283 | + | 16.8822i | 1.54097 | + | 0.658136i | ||||
\(659\) | −27.6786 | − | 15.9802i | −1.07820 | − | 0.622502i | −0.147793 | − | 0.989018i | \(-0.547217\pi\) |
−0.930411 | + | 0.366517i | \(0.880550\pi\) | |||||||
\(660\) | 16.4085 | + | 17.8053i | 0.638701 | + | 0.693069i | ||||
\(661\) | 11.9087i | 0.463195i | 0.972812 | + | 0.231598i | \(0.0743953\pi\) | ||||
−0.972812 | + | 0.231598i | \(0.925605\pi\) | |||||||
\(662\) | 0.459780 | + | 4.17767i | 0.0178698 | + | 0.162370i | ||||
\(663\) | 13.1056 | + | 22.6071i | 0.508979 | + | 0.877988i | ||||
\(664\) | 1.62309 | − | 8.22845i | 0.0629880 | − | 0.319326i | ||||
\(665\) | −26.5422 | + | 47.0905i | −1.02926 | + | 1.82609i | ||||
\(666\) | 16.3526 | − | 1.85827i | 0.633652 | − | 0.0720065i | ||||
\(667\) | 1.34030 | − | 0.773823i | 0.0518966 | − | 0.0299625i | ||||
\(668\) | −5.12333 | − | 5.57920i | −0.198228 | − | 0.215866i | ||||
\(669\) | −15.1317 | + | 0.0267569i | −0.585026 | + | 0.00103448i | ||||
\(670\) | 20.8331 | − | 47.4152i | 0.804851 | − | 1.83181i | ||||
\(671\) | 14.8214 | + | 25.6714i | 0.572173 | + | 0.991033i | ||||
\(672\) | 13.7740 | + | 21.9608i | 0.531345 | + | 0.847156i | ||||
\(673\) | −17.3361 | + | 30.0270i | −0.668257 | + | 1.15745i | 0.310134 | + | 0.950693i | \(0.399626\pi\) |
−0.978391 | + | 0.206762i | \(0.933707\pi\) | |||||||
\(674\) | −26.9208 | − | 36.6744i | −1.03695 | − | 1.41265i | ||||
\(675\) | 12.2448 | + | 20.9511i | 0.471302 | + | 0.806409i | ||||
\(676\) | 4.20453 | − | 13.3847i | 0.161713 | − | 0.514797i | ||||
\(677\) | 40.3262i | 1.54986i | 0.632045 | + | 0.774931i | \(0.282216\pi\) | ||||
−0.632045 | + | 0.774931i | \(0.717784\pi\) | |||||||
\(678\) | 0.314982 | − | 0.720341i | 0.0120968 | − | 0.0276645i | ||||
\(679\) | 4.45711 | + | 7.53878i | 0.171048 | + | 0.289312i | ||||
\(680\) | 22.3315 | + | 19.5212i | 0.856373 | + | 0.748603i | ||||
\(681\) | 18.8063 | − | 32.7068i | 0.720658 | − | 1.25333i | ||||
\(682\) | 16.5934 | − | 12.1804i | 0.635394 | − | 0.466411i | ||||
\(683\) | −13.6413 | − | 7.87579i | −0.521968 | − | 0.301359i | 0.215771 | − | 0.976444i | \(-0.430773\pi\) |
−0.737740 | + | 0.675085i | \(0.764107\pi\) | |||||||
\(684\) | −38.4467 | + | 8.70920i | −1.47005 | + | 0.333005i | ||||
\(685\) | − | 46.9033i | − | 1.79208i | ||||||
\(686\) | −3.67153 | − | 25.9330i | −0.140180 | − | 0.990126i | ||||
\(687\) | 0.0260340 | + | 14.7229i | 0.000993258 | + | 0.561714i | ||||
\(688\) | −3.89459 | − | 0.332380i | −0.148480 | − | 0.0126719i | ||||
\(689\) | 8.88261i | 0.338400i | ||||||||
\(690\) | −2.62992 | + | 6.01445i | −0.100119 | + | 0.228966i | ||||
\(691\) | −13.8708 | −0.527672 | −0.263836 | − | 0.964568i | \(-0.584988\pi\) | ||||
−0.263836 | + | 0.964568i | \(0.584988\pi\) | |||||||
\(692\) | 1.23148 | + | 5.52700i | 0.0468139 | + | 0.210105i | ||||
\(693\) | 8.70503 | − | 15.5728i | 0.330677 | − | 0.591560i | ||||
\(694\) | 1.69493 | + | 15.4005i | 0.0643385 | + | 0.584595i | ||||
\(695\) | 25.2636i | 0.958303i | ||||||||
\(696\) | −8.32147 | + | 2.85602i | −0.315425 | + | 0.108257i | ||||
\(697\) | −4.13665 | −0.156687 | ||||||||
\(698\) | 5.97276 | + | 2.62428i | 0.226072 | + | 0.0993306i | ||||
\(699\) | 15.7777 | − | 27.4397i | 0.596768 | − | 1.03787i | ||||
\(700\) | −5.62356 | − | 24.0639i | −0.212551 | − | 0.909529i | ||||
\(701\) | −18.9982 | −0.717551 | −0.358776 | − | 0.933424i | \(-0.616806\pi\) | ||||
−0.358776 | + | 0.933424i | \(0.616806\pi\) | |||||||
\(702\) | 26.3984 | − | 19.5940i | 0.996342 | − | 0.739529i | ||||
\(703\) | 12.7433 | − | 22.0720i | 0.480623 | − | 0.832463i | ||||
\(704\) | 6.82820 | − | 16.6348i | 0.257348 | − | 0.626947i | ||||
\(705\) | −0.109409 | − | 61.8734i | −0.00412057 | − | 2.33029i | ||||
\(706\) | −7.21532 | + | 5.29640i | −0.271552 | + | 0.199333i | ||||
\(707\) | −30.0301 | + | 0.310598i | −1.12940 | + | 0.0116813i | ||||
\(708\) | −14.5036 | − | 15.7382i | −0.545079 | − | 0.591477i | ||||
\(709\) | −7.95474 | −0.298746 | −0.149373 | − | 0.988781i | \(-0.547726\pi\) | ||||
−0.149373 | + | 0.988781i | \(0.547726\pi\) | |||||||
\(710\) | −6.29026 | + | 14.3164i | −0.236069 | + | 0.537283i | ||||
\(711\) | 29.2682 | + | 16.7603i | 1.09764 | + | 0.628560i | ||||
\(712\) | −28.1901 | + | 32.2484i | −1.05647 | + | 1.20856i | ||||
\(713\) | 4.83284 | + | 2.79024i | 0.180991 | + | 0.104495i | ||||
\(714\) | 8.54835 | − | 20.1137i | 0.319914 | − | 0.752735i | ||||
\(715\) | −27.0809 | + | 15.6352i | −1.01277 | + | 0.584722i | ||||
\(716\) | 18.3016 | + | 5.74906i | 0.683963 | + | 0.214853i | ||||
\(717\) | 32.7175 | + | 18.8124i | 1.22186 | + | 0.702561i | ||||
\(718\) | −6.80620 | + | 4.99608i | −0.254005 | + | 0.186452i | ||||
\(719\) | −3.08870 | − | 5.34978i | −0.115189 | − | 0.199513i | 0.802666 | − | 0.596428i | \(-0.203414\pi\) |
−0.917855 | + | 0.396915i | \(0.870081\pi\) | |||||||
\(720\) | 21.2302 | − | 30.6885i | 0.791204 | − | 1.14369i | ||||
\(721\) | −33.9258 | + | 20.0578i | −1.26346 | + | 0.746990i | ||||
\(722\) | −13.7479 | + | 31.2897i | −0.511645 | + | 1.16448i | ||||
\(723\) | 7.28340 | + | 4.18792i | 0.270873 | + | 0.155750i | ||||
\(724\) | 3.07744 | + | 13.8118i | 0.114372 | + | 0.513313i | ||||
\(725\) | 8.38703 | 0.311486 | ||||||||
\(726\) | 14.4788 | − | 1.61940i | 0.537359 | − | 0.0601017i | ||||
\(727\) | 13.6339 | − | 23.6147i | 0.505655 | − | 0.875819i | −0.494324 | − | 0.869278i | \(-0.664584\pi\) |
0.999979 | − | 0.00654173i | \(-0.00208231\pi\) | |||||||
\(728\) | −31.5713 | + | 11.1391i | −1.17011 | + | 0.412843i | ||||
\(729\) | 26.9985 | − | 0.286453i | 0.999944 | − | 0.0106094i | ||||
\(730\) | −11.7115 | − | 15.9547i | −0.433462 | − | 0.590509i | ||||
\(731\) | 1.64767 | + | 2.85385i | 0.0609413 | + | 0.105553i | ||||
\(732\) | 33.5946 | − | 30.9593i | 1.24169 | − | 1.14429i | ||||
\(733\) | 9.47896 | + | 5.47268i | 0.350113 | + | 0.202138i | 0.664735 | − | 0.747079i | \(-0.268544\pi\) |
−0.314622 | + | 0.949217i | \(0.601878\pi\) | |||||||
\(734\) | −4.37775 | − | 5.96384i | −0.161586 | − | 0.220129i | ||||
\(735\) | −32.2203 | + | 19.5798i | −1.18846 | + | 0.722213i | ||||
\(736\) | 4.87350 | − | 0.119316i | 0.179640 | − | 0.00439804i | ||||
\(737\) | 13.2350 | + | 22.9237i | 0.487518 | + | 0.844407i | ||||
\(738\) | 0.587621 | + | 5.17102i | 0.0216306 | + | 0.190348i | ||||
\(739\) | −5.56689 | − | 3.21404i | −0.204781 | − | 0.118230i | 0.394102 | − | 0.919067i | \(-0.371056\pi\) |
−0.598884 | + | 0.800836i | \(0.704389\pi\) | |||||||
\(740\) | 5.24689 | + | 23.5485i | 0.192879 | + | 0.865661i | ||||
\(741\) | −0.0900236 | − | 50.9108i | −0.00330710 | − | 1.87025i | ||||
\(742\) | 5.94293 | − | 4.45772i | 0.218172 | − | 0.163648i | ||||
\(743\) | −25.1981 | + | 14.5481i | −0.924427 | + | 0.533718i | −0.885045 | − | 0.465506i | \(-0.845872\pi\) |
−0.0393825 | + | 0.999224i | \(0.512539\pi\) | |||||||
\(744\) | −23.9212 | − | 20.8364i | −0.876995 | − | 0.763899i | ||||
\(745\) | −49.4443 | + | 28.5467i | −1.81150 | + | 1.04587i | ||||
\(746\) | −6.58375 | + | 14.9843i | −0.241048 | + | 0.548615i | ||||
\(747\) | 4.47510 | + | 7.68817i | 0.163735 | + | 0.281296i | ||||
\(748\) | −14.7969 | + | 3.29693i | −0.541029 | + | 0.120548i | ||||
\(749\) | 22.1368 | − | 0.228958i | 0.808860 | − | 0.00836596i | ||||
\(750\) | 2.02265 | − | 1.49024i | 0.0738568 | − | 0.0544157i | ||||
\(751\) | −10.0086 | − | 5.77846i | −0.365219 | − | 0.210859i | 0.306149 | − | 0.951984i | \(-0.400959\pi\) |
−0.671368 | + | 0.741125i | \(0.734293\pi\) | |||||||
\(752\) | −41.6036 | + | 19.5080i | −1.51713 | + | 0.711384i | ||||
\(753\) | −13.0465 | − | 22.5051i | −0.475439 | − | 0.820133i | ||||
\(754\) | −1.24299 | − | 11.2941i | −0.0452670 | − | 0.411307i | ||||
\(755\) | 44.2094 | 1.60894 | ||||||||
\(756\) | −26.3574 | − | 7.82868i | −0.958609 | − | 0.284726i | ||||
\(757\) | 10.5542 | 0.383600 | 0.191800 | − | 0.981434i | \(-0.438567\pi\) | ||||
0.191800 | + | 0.981434i | \(0.438567\pi\) | |||||||
\(758\) | 1.18369 | + | 10.7553i | 0.0429936 | + | 0.390651i | ||||
\(759\) | −1.68265 | − | 2.90257i | −0.0610764 | − | 0.105357i | ||||
\(760\) | −18.6626 | − | 54.6913i | −0.676965 | − | 1.98386i | ||||
\(761\) | −31.3515 | − | 18.1008i | −1.13649 | − | 0.656153i | −0.190931 | − | 0.981603i | \(-0.561151\pi\) |
−0.945559 | + | 0.325450i | \(0.894484\pi\) | |||||||
\(762\) | 15.7860 | − | 11.6307i | 0.571866 | − | 0.421336i | ||||
\(763\) | −6.41674 | + | 3.79373i | −0.232301 | + | 0.137342i | ||||
\(764\) | 7.77255 | + | 34.8840i | 0.281201 | + | 1.26206i | ||||
\(765\) | −31.4600 | + | 0.111259i | −1.13744 | + | 0.00402259i | ||||
\(766\) | −5.34662 | + | 12.1687i | −0.193181 | + | 0.439672i | ||||
\(767\) | 23.9370 | − | 13.8200i | 0.864315 | − | 0.499013i | ||||
\(768\) | −27.3203 | − | 4.64773i | −0.985836 | − | 0.167711i | ||||
\(769\) | −11.0469 | + | 6.37795i | −0.398363 | + | 0.229995i | −0.685777 | − | 0.727812i | \(-0.740538\pi\) |
0.287415 | + | 0.957806i | \(0.407204\pi\) | |||||||
\(770\) | 24.0512 | + | 10.2721i | 0.866747 | + | 0.370180i | ||||
\(771\) | −0.0731928 | − | 41.3925i | −0.00263598 | − | 1.49071i | ||||
\(772\) | −26.1474 | + | 5.82594i | −0.941065 | + | 0.209680i | ||||
\(773\) | −43.1258 | − | 24.8987i | −1.55113 | − | 0.895543i | −0.998051 | − | 0.0624114i | \(-0.980121\pi\) |
−0.553075 | − | 0.833131i | \(-0.686546\pi\) | |||||||
\(774\) | 3.33340 | − | 2.46507i | 0.119817 | − | 0.0886050i | ||||
\(775\) | 15.1209 | + | 26.1902i | 0.543160 | + | 0.940780i | ||||
\(776\) | −9.18549 | − | 1.81187i | −0.329740 | − | 0.0650422i | ||||
\(777\) | 15.2862 | − | 9.07407i | 0.548389 | − | 0.325530i | ||||
\(778\) | 9.67346 | + | 13.1782i | 0.346810 | + | 0.472462i | ||||
\(779\) | 6.97961 | + | 4.02968i | 0.250071 | + | 0.144378i | ||||
\(780\) | 32.6592 | + | 35.4392i | 1.16939 | + | 1.26893i | ||||
\(781\) | −3.99613 | − | 6.92151i | −0.142993 | − | 0.247671i | ||||
\(782\) | −2.43200 | − | 3.31313i | −0.0869682 | − | 0.118477i | ||||
\(783\) | 4.62288 | − | 8.10606i | 0.165208 | − | 0.289687i | ||||
\(784\) | 23.2967 | + | 15.5327i | 0.832023 | + | 0.554741i | ||||
\(785\) | −13.0668 | + | 22.6323i | −0.466373 | + | 0.807782i | ||||
\(786\) | 9.90194 | − | 1.10750i | 0.353190 | − | 0.0395031i | ||||
\(787\) | −10.6193 | −0.378537 | −0.189268 | − | 0.981925i | \(-0.560612\pi\) | ||||
−0.189268 | + | 0.981925i | \(0.560612\pi\) | |||||||
\(788\) | 14.9091 | − | 3.32192i | 0.531114 | − | 0.118338i | ||||
\(789\) | −7.48780 | − | 4.30545i | −0.266573 | − | 0.153278i | ||||
\(790\) | −19.8884 | + | 45.2652i | −0.707598 | + | 1.61046i | ||||
\(791\) | −0.00878261 | − | 0.849144i | −0.000312274 | − | 0.0301921i | ||||
\(792\) | 6.22326 | + | 18.0286i | 0.221134 | + | 0.640617i | ||||
\(793\) | 29.5001 | + | 51.0957i | 1.04758 | + | 1.81446i | ||||
\(794\) | 32.8354 | − | 24.1028i | 1.16528 | − | 0.855376i | ||||
\(795\) | −9.27077 | − | 5.33065i | −0.328800 | − | 0.189059i | ||||
\(796\) | −14.4075 | + | 45.8648i | −0.510659 | + | 1.62564i | ||||
\(797\) | −25.9905 | + | 15.0056i | −0.920629 | + | 0.531526i | −0.883836 | − | 0.467797i | \(-0.845048\pi\) |
−0.0367937 | + | 0.999323i | \(0.511714\pi\) | |||||||
\(798\) | −34.0168 | + | 25.6097i | −1.20418 | + | 0.906573i | ||||
\(799\) | 33.5491 | + | 19.3696i | 1.18688 | + | 0.685246i | ||||
\(800\) | 23.1955 | + | 12.6453i | 0.820085 | + | 0.447079i | ||||
\(801\) | −0.160667 | − | 45.4306i | −0.00567690 | − | 1.60521i | ||||
\(802\) | 1.29837 | − | 2.95505i | 0.0458472 | − | 0.104346i | ||||
\(803\) | 10.1156 | 0.356971 | ||||||||
\(804\) | 29.9989 | − | 27.6457i | 1.05798 | − | 0.974988i | ||||
\(805\) | 0.0733300 | + | 7.08988i | 0.00258454 | + | 0.249885i | ||||
\(806\) | 33.0271 | − | 24.2435i | 1.16333 | − | 0.853942i | ||||
\(807\) | −0.0227924 | − | 12.8897i | −0.000802331 | − | 0.453739i | ||||
\(808\) | 21.1299 | − | 24.1718i | 0.743347 | − | 0.850360i | ||||
\(809\) | −25.8662 | + | 44.8015i | −0.909405 | + | 1.57514i | −0.0945135 | + | 0.995524i | \(0.530130\pi\) |
−0.814892 | + | 0.579613i | \(0.803204\pi\) | |||||||
\(810\) | 4.60804 | + | 39.3107i | 0.161910 | + | 1.38124i | ||||
\(811\) | −27.3735 | −0.961213 | −0.480607 | − | 0.876936i | \(-0.659584\pi\) | ||||
−0.480607 | + | 0.876936i | \(0.659584\pi\) | |||||||
\(812\) | −6.93256 | + | 6.49954i | −0.243285 | + | 0.228089i | ||||
\(813\) | 2.19686 | − | 3.82065i | 0.0770471 | − | 0.133996i | ||||
\(814\) | −11.2892 | − | 4.96020i | −0.395687 | − | 0.173855i | ||||
\(815\) | −68.2383 | −2.39028 | ||||||||
\(816\) | 9.95641 | + | 21.1361i | 0.348544 | + | 0.739913i | ||||
\(817\) | − | 6.42025i | − | 0.224616i | ||||||
\(818\) | −3.95626 | − | 35.9475i | −0.138327 | − | 1.25688i | ||||
\(819\) | 17.3263 | − | 30.9957i | 0.605430 | − | 1.08308i | ||||
\(820\) | −7.44650 | + | 1.65917i | −0.260043 | + | 0.0579406i | ||||
\(821\) | −11.9881 | −0.418386 | −0.209193 | − | 0.977874i | \(-0.567084\pi\) | ||||
−0.209193 | + | 0.977874i | \(0.567084\pi\) | |||||||
\(822\) | 14.8018 | − | 33.8508i | 0.516274 | − | 1.18068i | ||||
\(823\) | 21.8368i | 0.761184i | 0.924743 | + | 0.380592i | \(0.124280\pi\) | ||||
−0.924743 | + | 0.380592i | \(0.875720\pi\) | |||||||
\(824\) | 8.15371 | − | 41.3363i | 0.284048 | − | 1.44002i | ||||
\(825\) | −0.0321499 | − | 18.1816i | −0.00111932 | − | 0.633003i | ||||
\(826\) | −21.2591 | − | 9.07957i | −0.739698 | − | 0.315919i | ||||
\(827\) | − | 20.0823i | − | 0.698331i | −0.937061 | − | 0.349166i | \(-0.886465\pi\) | ||
0.937061 | − | 0.349166i | \(-0.113535\pi\) | |||||||
\(828\) | −3.79611 | + | 3.51076i | −0.131924 | + | 0.122007i | ||||
\(829\) | 48.8320 | + | 28.1931i | 1.69600 | + | 0.979188i | 0.949479 | + | 0.313831i | \(0.101613\pi\) |
0.746525 | + | 0.665357i | \(0.231721\pi\) | |||||||
\(830\) | −10.5123 | + | 7.71656i | −0.364888 | + | 0.267846i | ||||
\(831\) | −10.2808 | + | 17.8799i | −0.356638 | + | 0.620246i | ||||
\(832\) | 13.5907 | − | 33.1095i | 0.471173 | − | 1.14787i | ||||
\(833\) | −0.488255 | − | 23.6009i | −0.0169170 | − | 0.817721i | ||||
\(834\) | −7.97275 | + | 18.2331i | −0.276074 | + | 0.631361i | ||||
\(835\) | 11.7775i | 0.407576i | ||||||||
\(836\) | 28.1779 | + | 8.85150i | 0.974554 | + | 0.306136i | ||||
\(837\) | 33.6474 | − | 0.178494i | 1.16302 | − | 0.00616965i | ||||
\(838\) | −13.5540 | − | 18.4647i | −0.468215 | − | 0.637852i | ||||
\(839\) | −27.0448 | + | 46.8430i | −0.933691 | + | 1.61720i | −0.156740 | + | 0.987640i | \(0.550098\pi\) |
−0.776951 | + | 0.629561i | \(0.783235\pi\) | |||||||
\(840\) | 7.32075 | − | 39.6358i | 0.252590 | − | 1.36756i | ||||
\(841\) | 12.8874 | + | 22.3217i | 0.444394 | + | 0.769713i | ||||
\(842\) | 8.02169 | − | 18.2570i | 0.276446 | − | 0.629179i | ||||
\(843\) | −6.42007 | + | 0.0113524i | −0.221119 | + | 0.000390996i | ||||
\(844\) | 13.7209 | − | 12.5998i | 0.472294 | − | 0.433703i | ||||
\(845\) | −18.8913 | + | 10.9069i | −0.649881 | + | 0.375209i | ||||
\(846\) | 19.4472 | − | 44.6895i | 0.668609 | − | 1.53646i | ||||
\(847\) | 13.5460 | − | 8.00873i | 0.465447 | − | 0.275183i | ||||
\(848\) | −0.675339 | + | 7.91315i | −0.0231912 | + | 0.271739i | ||||
\(849\) | 12.9204 | + | 22.2877i | 0.443428 | + | 0.764913i | ||||
\(850\) | −2.43653 | − | 22.1389i | −0.0835722 | − | 0.759358i | ||||
\(851\) | − | 3.34298i | − | 0.114596i | ||||||
\(852\) | −9.05776 | + | 8.34724i | −0.310314 | + | 0.285972i | ||||
\(853\) | 24.2820 | + | 14.0192i | 0.831398 | + | 0.480008i | 0.854331 | − | 0.519729i | \(-0.173967\pi\) |
−0.0229329 | + | 0.999737i | \(0.507300\pi\) | |||||||
\(854\) | 19.3812 | − | 45.3794i | 0.663210 | − | 1.55285i | ||||
\(855\) | 53.1895 | + | 30.4587i | 1.81904 | + | 1.04167i | ||||
\(856\) | −15.5760 | + | 17.8183i | −0.532375 | + | 0.609016i | ||||
\(857\) | −37.2473 | + | 21.5047i | −1.27234 | + | 0.734587i | −0.975428 | − | 0.220317i | \(-0.929291\pi\) |
−0.296914 | + | 0.954904i | \(0.595957\pi\) | |||||||
\(858\) | −24.4789 | + | 2.73788i | −0.835695 | + | 0.0934696i | ||||
\(859\) | 6.52507 | − | 11.3018i | 0.222632 | − | 0.385611i | −0.732974 | − | 0.680257i | \(-0.761868\pi\) |
0.955607 | + | 0.294646i | \(0.0952017\pi\) | |||||||
\(860\) | 4.11066 | + | 4.47643i | 0.140172 | + | 0.152645i | ||||
\(861\) | 2.86940 | + | 4.83379i | 0.0977888 | + | 0.164735i | ||||
\(862\) | −51.1240 | − | 22.4626i | −1.74129 | − | 0.765080i | ||||
\(863\) | 44.0479 | − | 25.4311i | 1.49941 | − | 0.865684i | 0.499409 | − | 0.866367i | \(-0.333551\pi\) |
1.00000 | 0.000682608i | \(0.000217281\pi\) | ||||||||
\(864\) | 25.0069 | − | 15.4484i | 0.850752 | − | 0.525567i | ||||
\(865\) | 4.40218 | − | 7.62480i | 0.149679 | − | 0.259251i | ||||
\(866\) | 1.42593 | + | 12.9563i | 0.0484550 | + | 0.440275i | ||||
\(867\) | −4.85886 | + | 8.45027i | −0.165016 | + | 0.286986i | ||||
\(868\) | −32.7948 | − | 9.93034i | −1.11313 | − | 0.337058i | ||||
\(869\) | −12.6349 | − | 21.8843i | −0.428609 | − | 0.742373i | ||||
\(870\) | 12.5336 | + | 5.48053i | 0.424928 | + | 0.185807i | ||||
\(871\) | 26.3427 | + | 45.6269i | 0.892588 | + | 1.54601i | ||||
\(872\) | 1.54219 | − | 7.81835i | 0.0522253 | − | 0.264763i | ||||
\(873\) | 8.58238 | − | 4.99559i | 0.290469 | − | 0.169075i | ||||
\(874\) | 0.875964 | + | 7.95922i | 0.0296299 | + | 0.269225i | ||||
\(875\) | 1.33245 | − | 2.36400i | 0.0450450 | − | 0.0799178i | ||||
\(876\) | −3.41736 | − | 15.2107i | −0.115462 | − | 0.513921i | ||||
\(877\) | −5.40219 | + | 9.35687i | −0.182419 | + | 0.315959i | −0.942704 | − | 0.333631i | \(-0.891726\pi\) |
0.760285 | + | 0.649590i | \(0.225059\pi\) | |||||||
\(878\) | −0.107435 | + | 0.0118239i | −0.00362575 | + | 0.000399037i | ||||
\(879\) | 7.51333 | + | 4.32013i | 0.253418 | + | 0.145714i | ||||
\(880\) | −25.3140 | + | 11.8698i | −0.853334 | + | 0.400130i | ||||
\(881\) | − | 43.3115i | − | 1.45920i | −0.683873 | − | 0.729601i | \(-0.739706\pi\) | ||
0.683873 | − | 0.729601i | \(-0.260294\pi\) | |||||||
\(882\) | −29.4329 | + | 3.96290i | −0.991057 | + | 0.133438i | ||||
\(883\) | 18.6655i | 0.628143i | 0.949399 | + | 0.314072i | \(0.101693\pi\) | ||||
−0.949399 | + | 0.314072i | \(0.898307\pi\) | |||||||
\(884\) | −29.4515 | + | 6.56213i | −0.990560 | + | 0.220708i | ||||
\(885\) | 0.0588421 | + | 33.2767i | 0.00197795 | + | 1.11859i | ||||
\(886\) | −5.07435 | − | 46.1068i | −0.170476 | − | 1.54899i | ||||
\(887\) | −1.40376 | + | 2.43138i | −0.0471336 | + | 0.0816379i | −0.888630 | − | 0.458625i | \(-0.848342\pi\) |
0.841496 | + | 0.540263i | \(0.181675\pi\) | |||||||
\(888\) | −3.64475 | + | 18.6512i | −0.122310 | + | 0.625892i | ||||
\(889\) | 10.3992 | − | 18.4501i | 0.348779 | − | 0.618796i | ||||
\(890\) | 66.1985 | − | 7.28557i | 2.21898 | − | 0.244213i | ||||
\(891\) | −17.5903 | − | 9.99052i | −0.589296 | − | 0.334695i | ||||
\(892\) | 5.23638 | − | 16.6695i | 0.175327 | − | 0.558137i | ||||
\(893\) | −37.7373 | − | 65.3630i | −1.26283 | − | 2.18729i | ||||
\(894\) | −44.6936 | + | 4.99882i | −1.49478 | + | 0.167185i | ||||
\(895\) | −14.9136 | − | 25.8310i | −0.498505 | − | 0.863437i | ||||
\(896\) | −28.9725 | + | 7.52303i | −0.967902 | + | 0.251327i | ||||
\(897\) | −3.34911 | − | 5.77721i | −0.111824 | − | 0.192896i | ||||
\(898\) | −6.41930 | + | 0.706485i | −0.214215 | + | 0.0235757i | ||||
\(899\) | 5.81461 | − | 10.0712i | 0.193928 | − | 0.335894i | ||||
\(900\) | −27.3286 | + | 6.19066i | −0.910954 | + | 0.206355i | ||||
\(901\) | 5.79854 | − | 3.34779i | 0.193177 | − | 0.111531i | ||||
\(902\) | 1.56851 | − | 3.56987i | 0.0522257 | − | 0.118864i | ||||
\(903\) | 2.19189 | − | 3.90492i | 0.0729414 | − | 0.129948i | ||||
\(904\) | 0.683491 | + | 0.597478i | 0.0227326 | + | 0.0198718i | ||||
\(905\) | 11.0009 | − | 19.0542i | 0.365684 | − | 0.633383i | ||||
\(906\) | 31.9066 | + | 13.9517i | 1.06002 | + | 0.463514i | ||||
\(907\) | 20.8642 | − | 12.0460i | 0.692784 | − | 0.399979i | −0.111870 | − | 0.993723i | \(-0.535684\pi\) |
0.804654 | + | 0.593744i | \(0.202351\pi\) | |||||||
\(908\) | 29.4661 | + | 32.0879i | 0.977866 | + | 1.06488i | ||||
\(909\) | 0.120428 | + | 34.0525i | 0.00399435 | + | 1.12945i | ||||
\(910\) | 47.8711 | + | 20.4453i | 1.58691 | + | 0.677756i | ||||
\(911\) | 2.87372 | + | 1.65914i | 0.0952107 | + | 0.0549699i | 0.546849 | − | 0.837231i | \(-0.315827\pi\) |
−0.451639 | + | 0.892201i | \(0.649160\pi\) | |||||||
\(912\) | 3.79051 | − | 45.3611i | 0.125516 | − | 1.50206i | ||||
\(913\) | − | 6.66502i | − | 0.220580i | ||||||
\(914\) | 17.8592 | − | 1.96552i | 0.590730 | − | 0.0650136i | ||||
\(915\) | −71.0323 | + | 0.125604i | −2.34825 | + | 0.00415233i | ||||
\(916\) | −16.2192 | − | 5.09491i | −0.535896 | − | 0.168341i | ||||
\(917\) | 9.26402 | − | 5.47711i | 0.305925 | − | 0.180870i | ||||
\(918\) | −22.7402 | − | 9.84792i | −0.750540 | − | 0.325030i | ||||
\(919\) | 38.9661 | − | 22.4971i | 1.28537 | − | 0.742110i | 0.307548 | − | 0.951533i | \(-0.400492\pi\) |
0.977825 | + | 0.209422i | \(0.0671583\pi\) | |||||||
\(920\) | −5.70677 | − | 4.98861i | −0.188147 | − | 0.164470i | ||||
\(921\) | 18.9331 | + | 32.6596i | 0.623867 | + | 1.07617i | ||||
\(922\) | −7.85419 | − | 3.45094i | −0.258664 | − | 0.113651i | ||||
\(923\) | −7.95382 | − | 13.7764i | −0.261803 | − | 0.453456i | ||||
\(924\) | 14.1165 | + | 15.0037i | 0.464397 | + | 0.493584i | ||||
\(925\) | 9.05818 | − | 15.6892i | 0.297831 | − | 0.515858i | ||||
\(926\) | −29.6250 | + | 21.7462i | −0.973539 | + | 0.714625i | ||||
\(927\) | 22.4810 | + | 38.6222i | 0.738374 | + | 1.26852i | ||||
\(928\) | −0.248643 | − | 10.1559i | −0.00816212 | − | 0.333385i | ||||
\(929\) | 20.0843i | 0.658945i | 0.944165 | + | 0.329473i | \(0.106871\pi\) | ||||
−0.944165 | + | 0.329473i | \(0.893129\pi\) | |||||||
\(930\) | 5.48265 | + | 49.0195i | 0.179783 | + | 1.60741i | ||||
\(931\) | −22.1667 | + | 40.2964i | −0.726485 | + | 1.32066i | ||||
\(932\) | 24.7209 | + | 26.9205i | 0.809759 | + | 0.881810i | ||||
\(933\) | −2.11656 | − | 3.65106i | −0.0692930 | − | 0.119530i | ||||
\(934\) | −9.44202 | − | 12.8629i | −0.308952 | − | 0.420888i | ||||
\(935\) | 20.4132 | + | 11.7855i | 0.667582 | + | 0.385429i | ||||
\(936\) | 12.3866 | + | 35.8836i | 0.404870 | + | 1.17289i | ||||
\(937\) | − | 52.5195i | − | 1.71574i | −0.513868 | − | 0.857869i | \(-0.671788\pi\) | ||
0.513868 | − | 0.857869i | \(-0.328212\pi\) | |||||||
\(938\) | 17.3068 | − | 40.5224i | 0.565086 | − | 1.32310i | ||||
\(939\) | −0.476258 | + | 0.276092i | −0.0155421 | + | 0.00900991i | ||||
\(940\) | 68.1615 | + | 21.4115i | 2.22318 | + | 0.698366i | ||||
\(941\) | − | 17.8776i | − | 0.582794i | −0.956602 | − | 0.291397i | \(-0.905880\pi\) | ||
0.956602 | − | 0.291397i | \(-0.0941201\pi\) | |||||||
\(942\) | −16.5728 | + | 12.2104i | −0.539973 | + | 0.397838i | ||||
\(943\) | 1.05712 | 0.0344244 | ||||||||
\(944\) | 22.3752 | − | 10.4918i | 0.728251 | − | 0.341478i | ||||
\(945\) | 21.9523 | + | 36.6846i | 0.714107 | + | 1.19335i | ||||
\(946\) | −3.08758 | + | 0.339808i | −0.100386 | + | 0.0110481i | ||||
\(947\) | 59.9199i | 1.94714i | 0.228399 | + | 0.973568i | \(0.426651\pi\) | ||||
−0.228399 | + | 0.973568i | \(0.573349\pi\) | |||||||
\(948\) | −28.6387 | + | 26.3921i | −0.930140 | + | 0.857176i | ||||
\(949\) | 20.1338 | 0.653572 | ||||||||
\(950\) | −17.4553 | + | 39.7276i | −0.566326 | + | 1.28893i | ||||
\(951\) | 30.0777 | + | 51.8840i | 0.975336 | + | 1.68245i | ||||
\(952\) | 19.1706 | + | 16.4114i | 0.621321 | + | 0.531896i | ||||
\(953\) | 11.2404 | 0.364111 | 0.182056 | − | 0.983288i | \(-0.441725\pi\) | ||||
0.182056 | + | 0.983288i | \(0.441725\pi\) | |||||||
\(954\) | −5.00860 | − | 6.77290i | −0.162159 | − | 0.219281i | ||||
\(955\) | 27.7846 | − | 48.1243i | 0.899088 | − | 1.55727i | ||||
\(956\) | −32.0984 | + | 29.4756i | −1.03814 | + | 0.953310i | ||||
\(957\) | −6.04870 | + | 3.50650i | −0.195527 | + | 0.113349i | ||||
\(958\) | 13.2961 | + | 18.1134i | 0.429578 | + | 0.585216i | ||||
\(959\) | −0.412719 | − | 39.9036i | −0.0133274 | − | 1.28855i | ||||
\(960\) | 26.4003 | + | 34.0543i | 0.852066 | + | 1.09910i | ||||
\(961\) | 10.9325 | 0.352662 | ||||||||
\(962\) | −22.4698 | − | 9.87267i | −0.724455 | − | 0.318308i | ||||
\(963\) | −0.0887739 | − | 25.1019i | −0.00286070 | − | 0.808898i | ||||
\(964\) | −7.14558 | + | 6.56172i | −0.230144 | + | 0.211339i | ||||
\(965\) | 36.0717 | + | 20.8260i | 1.16119 | + | 0.670413i | ||||
\(966\) | −2.18452 | + | 5.14001i | −0.0702857 | + | 0.165377i | ||||
\(967\) | −28.0105 | + | 16.1719i | −0.900756 | + | 0.520052i | −0.877445 | − | 0.479676i | \(-0.840754\pi\) |
−0.0233107 | + | 0.999728i | \(0.507421\pi\) | |||||||
\(968\) | −3.25564 | + | 16.5049i | −0.104640 | + | 0.530488i | ||||
\(969\) | −33.2004 | + | 19.2466i | −1.06655 | + | 0.618291i | ||||
\(970\) | 8.61406 | + | 11.7350i | 0.276581 | + | 0.376788i | ||||
\(971\) | 4.19734 | + | 7.27001i | 0.134699 | + | 0.233306i | 0.925483 | − | 0.378790i | \(-0.123660\pi\) |
−0.790783 | + | 0.612096i | \(0.790327\pi\) | |||||||
\(972\) | −9.08009 | + | 29.8254i | −0.291244 | + | 0.956649i | ||||
\(973\) | 0.222304 | + | 21.4933i | 0.00712673 | + | 0.689045i | ||||
\(974\) | −7.28289 | − | 3.19992i | −0.233359 | − | 0.102532i | ||||
\(975\) | −0.0639905 | − | 36.1883i | −0.00204934 | − | 1.15895i | ||||
\(976\) | 22.3957 | + | 47.7619i | 0.716868 | + | 1.52882i | ||||
\(977\) | −11.3855 | −0.364254 | −0.182127 | − | 0.983275i | \(-0.558298\pi\) | ||||
−0.182127 | + | 0.983275i | \(0.558298\pi\) | |||||||
\(978\) | −49.2486 | − | 21.5348i | −1.57480 | − | 0.688607i | ||||
\(979\) | −17.0192 | + | 29.4782i | −0.543938 | + | 0.942127i | ||||
\(980\) | −10.3450 | − | 42.2887i | −0.330458 | − | 1.35086i | ||||
\(981\) | 4.25206 | + | 7.30500i | 0.135758 | + | 0.233231i | ||||
\(982\) | 11.8159 | − | 8.67343i | 0.377060 | − | 0.276780i | ||||
\(983\) | −20.2073 | − | 35.0001i | −0.644514 | − | 1.11633i | −0.984414 | − | 0.175869i | \(-0.943726\pi\) |
0.339900 | − | 0.940462i | \(-0.389607\pi\) | |||||||
\(984\) | −5.89786 | − | 1.15254i | −0.188017 | − | 0.0367416i | ||||
\(985\) | −20.5679 | − | 11.8749i | −0.655347 | − | 0.378365i | ||||
\(986\) | −6.90427 | + | 5.06807i | −0.219877 | + | 0.161400i | ||||
\(987\) | −0.637528 | − | 52.6387i | −0.0202927 | − | 1.67551i | ||||
\(988\) | 56.0847 | + | 17.6178i | 1.78429 | + | 0.560498i | ||||
\(989\) | −0.421060 | − | 0.729297i | −0.0133889 | − | 0.0231903i | ||||
\(990\) | 11.8328 | − | 27.1916i | 0.376071 | − | 0.864207i | ||||
\(991\) | −41.5797 | − | 24.0060i | −1.32082 | − | 0.762577i | −0.336962 | − | 0.941518i | \(-0.609399\pi\) |
−0.983860 | + | 0.178941i | \(0.942733\pi\) | |||||||
\(992\) | 31.2657 | − | 19.0865i | 0.992688 | − | 0.605998i | ||||
\(993\) | 4.45329 | − | 2.58162i | 0.141321 | − | 0.0819251i | ||||
\(994\) | −5.22554 | + | 12.2352i | −0.165744 | + | 0.388076i | ||||
\(995\) | 64.7340 | − | 37.3742i | 2.05221 | − | 1.18484i | ||||
\(996\) | −10.0221 | + | 2.25165i | −0.317563 | + | 0.0713463i | ||||
\(997\) | −25.0034 | + | 14.4357i | −0.791866 | + | 0.457184i | −0.840619 | − | 0.541627i | \(-0.817809\pi\) |
0.0487532 | + | 0.998811i | \(0.484475\pi\) | |||||||
\(998\) | 14.9433 | + | 6.56572i | 0.473022 | + | 0.207834i | ||||
\(999\) | −10.1708 | − | 17.4025i | −0.321790 | − | 0.550591i |
(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 | 252.2.bj.b.115.41 | yes | 84 | |
3.2 | odd | 2 | 756.2.bj.b.451.2 | 84 | |||
4.3 | odd | 2 | inner | 252.2.bj.b.115.42 | yes | 84 | |
7.5 | odd | 6 | 252.2.n.b.187.14 | yes | 84 | ||
9.4 | even | 3 | 252.2.n.b.31.16 | yes | 84 | ||
9.5 | odd | 6 | 756.2.n.b.199.27 | 84 | |||
12.11 | even | 2 | 756.2.bj.b.451.1 | 84 | |||
21.5 | even | 6 | 756.2.n.b.19.29 | 84 | |||
28.19 | even | 6 | 252.2.n.b.187.16 | yes | 84 | ||
36.23 | even | 6 | 756.2.n.b.199.29 | 84 | |||
36.31 | odd | 6 | 252.2.n.b.31.14 | ✓ | 84 | ||
63.5 | even | 6 | 756.2.bj.b.523.2 | 84 | |||
63.40 | odd | 6 | inner | 252.2.bj.b.103.41 | yes | 84 | |
84.47 | odd | 6 | 756.2.n.b.19.27 | 84 | |||
252.103 | even | 6 | inner | 252.2.bj.b.103.42 | yes | 84 | |
252.131 | odd | 6 | 756.2.bj.b.523.1 | 84 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
252.2.n.b.31.14 | ✓ | 84 | 36.31 | odd | 6 | ||
252.2.n.b.31.16 | yes | 84 | 9.4 | even | 3 | ||
252.2.n.b.187.14 | yes | 84 | 7.5 | odd | 6 | ||
252.2.n.b.187.16 | yes | 84 | 28.19 | even | 6 | ||
252.2.bj.b.103.41 | yes | 84 | 63.40 | odd | 6 | inner | |
252.2.bj.b.103.42 | yes | 84 | 252.103 | even | 6 | inner | |
252.2.bj.b.115.41 | yes | 84 | 1.1 | even | 1 | trivial | |
252.2.bj.b.115.42 | yes | 84 | 4.3 | odd | 2 | inner | |
756.2.n.b.19.27 | 84 | 84.47 | odd | 6 | |||
756.2.n.b.19.29 | 84 | 21.5 | even | 6 | |||
756.2.n.b.199.27 | 84 | 9.5 | odd | 6 | |||
756.2.n.b.199.29 | 84 | 36.23 | even | 6 | |||
756.2.bj.b.451.1 | 84 | 12.11 | even | 2 | |||
756.2.bj.b.451.2 | 84 | 3.2 | odd | 2 | |||
756.2.bj.b.523.1 | 84 | 252.131 | odd | 6 | |||
756.2.bj.b.523.2 | 84 | 63.5 | even | 6 |