Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [370,2,Mod(71,370)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(370, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([0, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("370.71");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 370 = 2 \cdot 5 \cdot 37 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 370.o (of order \(9\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.95446487479\) |
Analytic rank: | \(0\) |
Dimension: | \(18\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{9})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{18} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{18} - 3 x^{17} + 18 x^{16} - 25 x^{15} + 132 x^{14} - 135 x^{13} + 666 x^{12} - 297 x^{11} + 1845 x^{10} + \cdots + 9 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 3^{2} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 271.1 | ||
Root | \(1.28031 + 2.21756i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 370.271 |
Dual form | 370.2.o.b.71.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/370\mathbb{Z}\right)^\times\).
\(n\) | \(261\) | \(297\) |
\(\chi(n)\) | \(e\left(\frac{7}{9}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.766044 | + | 0.642788i | −0.541675 | + | 0.454519i | ||||
\(3\) | −1.96154 | − | 1.64593i | −1.13250 | − | 0.950279i | −0.133331 | − | 0.991072i | \(-0.542567\pi\) |
−0.999168 | + | 0.0407929i | \(0.987012\pi\) | |||||||
\(4\) | 0.173648 | − | 0.984808i | 0.0868241 | − | 0.492404i | ||||
\(5\) | 0.939693 | − | 0.342020i | 0.420243 | − | 0.152956i | ||||
\(6\) | 2.56061 | 1.04537 | ||||||||
\(7\) | 1.15931 | − | 0.421953i | 0.438177 | − | 0.159483i | −0.113506 | − | 0.993537i | \(-0.536208\pi\) |
0.551683 | + | 0.834054i | \(0.313986\pi\) | |||||||
\(8\) | 0.500000 | + | 0.866025i | 0.176777 | + | 0.306186i | ||||
\(9\) | 0.617622 | + | 3.50271i | 0.205874 | + | 1.16757i | ||||
\(10\) | −0.500000 | + | 0.866025i | −0.158114 | + | 0.273861i | ||||
\(11\) | 2.59351 | + | 4.49209i | 0.781972 | + | 1.35442i | 0.930791 | + | 0.365551i | \(0.119119\pi\) |
−0.148819 | + | 0.988864i | \(0.547547\pi\) | |||||||
\(12\) | −1.96154 | + | 1.64593i | −0.566249 | + | 0.475139i | ||||
\(13\) | 0.922896 | − | 5.23400i | 0.255965 | − | 1.45165i | −0.537618 | − | 0.843189i | \(-0.680676\pi\) |
0.793583 | − | 0.608462i | \(-0.208213\pi\) | |||||||
\(14\) | −0.616854 | + | 1.06842i | −0.164861 | + | 0.285548i | ||||
\(15\) | −2.40619 | − | 0.875782i | −0.621276 | − | 0.226126i | ||||
\(16\) | −0.939693 | − | 0.342020i | −0.234923 | − | 0.0855050i | ||||
\(17\) | −0.821891 | − | 4.66118i | −0.199338 | − | 1.13050i | −0.906104 | − | 0.423054i | \(-0.860958\pi\) |
0.706766 | − | 0.707447i | \(-0.250153\pi\) | |||||||
\(18\) | −2.72463 | − | 2.28623i | −0.642200 | − | 0.538870i | ||||
\(19\) | −4.80522 | − | 4.03206i | −1.10239 | − | 0.925018i | −0.104810 | − | 0.994492i | \(-0.533423\pi\) |
−0.997584 | + | 0.0694745i | \(0.977868\pi\) | |||||||
\(20\) | −0.173648 | − | 0.984808i | −0.0388289 | − | 0.220210i | ||||
\(21\) | −2.96854 | − | 1.08046i | −0.647788 | − | 0.235776i | ||||
\(22\) | −4.87420 | − | 1.77406i | −1.03918 | − | 0.378232i | ||||
\(23\) | 0.104526 | − | 0.181044i | 0.0217952 | − | 0.0377504i | −0.854922 | − | 0.518756i | \(-0.826395\pi\) |
0.876717 | + | 0.481006i | \(0.159728\pi\) | |||||||
\(24\) | 0.444646 | − | 2.52171i | 0.0907630 | − | 0.514742i | ||||
\(25\) | 0.766044 | − | 0.642788i | 0.153209 | − | 0.128558i | ||||
\(26\) | 2.65737 | + | 4.60270i | 0.521154 | + | 0.902664i | ||||
\(27\) | 0.712805 | − | 1.23461i | 0.137179 | − | 0.237602i | ||||
\(28\) | −0.214231 | − | 1.21497i | −0.0404859 | − | 0.229607i | ||||
\(29\) | −2.63740 | − | 4.56812i | −0.489754 | − | 0.848278i | 0.510177 | − | 0.860070i | \(-0.329580\pi\) |
−0.999930 | + | 0.0117913i | \(0.996247\pi\) | |||||||
\(30\) | 2.40619 | − | 0.875782i | 0.439308 | − | 0.159895i | ||||
\(31\) | 3.14695 | 0.565210 | 0.282605 | − | 0.959236i | \(-0.408802\pi\) | ||||
0.282605 | + | 0.959236i | \(0.408802\pi\) | |||||||
\(32\) | 0.939693 | − | 0.342020i | 0.166116 | − | 0.0604612i | ||||
\(33\) | 2.30639 | − | 13.0802i | 0.401490 | − | 2.27696i | ||||
\(34\) | 3.62575 | + | 3.04237i | 0.621811 | + | 0.521762i | ||||
\(35\) | 0.945076 | − | 0.793013i | 0.159747 | − | 0.134044i | ||||
\(36\) | 3.55675 | 0.592791 | ||||||||
\(37\) | 5.88885 | − | 1.52364i | 0.968121 | − | 0.250484i | ||||
\(38\) | 6.27277 | 1.01758 | ||||||||
\(39\) | −10.4251 | + | 8.74770i | −1.66935 | + | 1.40075i | ||||
\(40\) | 0.766044 | + | 0.642788i | 0.121122 | + | 0.101634i | ||||
\(41\) | 0.775606 | − | 4.39868i | 0.121129 | − | 0.686958i | −0.862402 | − | 0.506223i | \(-0.831041\pi\) |
0.983532 | − | 0.180735i | \(-0.0578477\pi\) | |||||||
\(42\) | 2.96854 | − | 1.08046i | 0.458055 | − | 0.166718i | ||||
\(43\) | −11.6019 | −1.76927 | −0.884635 | − | 0.466284i | \(-0.845593\pi\) | ||||
−0.884635 | + | 0.466284i | \(0.845593\pi\) | |||||||
\(44\) | 4.87420 | − | 1.77406i | 0.734813 | − | 0.267450i | ||||
\(45\) | 1.77837 | + | 3.08023i | 0.265104 | + | 0.459174i | ||||
\(46\) | 0.0363015 | + | 0.205876i | 0.00535236 | + | 0.0303548i | ||||
\(47\) | 4.63640 | − | 8.03048i | 0.676289 | − | 1.17137i | −0.299802 | − | 0.954002i | \(-0.596921\pi\) |
0.976090 | − | 0.217365i | \(-0.0697461\pi\) | |||||||
\(48\) | 1.28031 | + | 2.21756i | 0.184796 | + | 0.320077i | ||||
\(49\) | −4.19636 | + | 3.52117i | −0.599480 | + | 0.503024i | ||||
\(50\) | −0.173648 | + | 0.984808i | −0.0245576 | + | 0.139273i | ||||
\(51\) | −6.05980 | + | 10.4959i | −0.848542 | + | 1.46972i | ||||
\(52\) | −4.99423 | − | 1.81775i | −0.692575 | − | 0.252077i | ||||
\(53\) | −0.676178 | − | 0.246109i | −0.0928802 | − | 0.0338056i | 0.295162 | − | 0.955447i | \(-0.404626\pi\) |
−0.388042 | + | 0.921642i | \(0.626849\pi\) | |||||||
\(54\) | 0.247555 | + | 1.40395i | 0.0336879 | + | 0.191054i | ||||
\(55\) | 3.97348 | + | 3.33415i | 0.535785 | + | 0.449577i | ||||
\(56\) | 0.945076 | + | 0.793013i | 0.126291 | + | 0.105971i | ||||
\(57\) | 2.78916 | + | 15.8181i | 0.369434 | + | 2.09516i | ||||
\(58\) | 4.95670 | + | 1.80409i | 0.650846 | + | 0.236889i | ||||
\(59\) | 7.79670 | + | 2.83777i | 1.01504 | + | 0.369446i | 0.795368 | − | 0.606127i | \(-0.207278\pi\) |
0.219676 | + | 0.975573i | \(0.429500\pi\) | |||||||
\(60\) | −1.28031 | + | 2.21756i | −0.165287 | + | 0.286285i | ||||
\(61\) | 1.46096 | − | 8.28554i | 0.187057 | − | 1.06086i | −0.736226 | − | 0.676736i | \(-0.763394\pi\) |
0.923283 | − | 0.384119i | \(-0.125495\pi\) | |||||||
\(62\) | −2.41071 | + | 2.02282i | −0.306160 | + | 0.256899i | ||||
\(63\) | 2.19399 | + | 3.80011i | 0.276417 | + | 0.478769i | ||||
\(64\) | −0.500000 | + | 0.866025i | −0.0625000 | + | 0.108253i | ||||
\(65\) | −0.922896 | − | 5.23400i | −0.114471 | − | 0.649198i | ||||
\(66\) | 6.64097 | + | 11.5025i | 0.817447 | + | 1.41586i | ||||
\(67\) | −11.9309 | + | 4.34250i | −1.45759 | + | 0.530520i | −0.944701 | − | 0.327933i | \(-0.893648\pi\) |
−0.512892 | + | 0.858453i | \(0.671426\pi\) | |||||||
\(68\) | −4.73308 | −0.573971 | ||||||||
\(69\) | −0.503019 | + | 0.183084i | −0.0605564 | + | 0.0220407i | ||||
\(70\) | −0.214231 | + | 1.21497i | −0.0256055 | + | 0.145216i | ||||
\(71\) | 6.25749 | + | 5.25066i | 0.742627 | + | 0.623138i | 0.933542 | − | 0.358468i | \(-0.116701\pi\) |
−0.190915 | + | 0.981607i | \(0.561145\pi\) | |||||||
\(72\) | −2.72463 | + | 2.28623i | −0.321100 | + | 0.269435i | ||||
\(73\) | 0.148554 | 0.0173870 | 0.00869349 | − | 0.999962i | \(-0.497233\pi\) | ||||
0.00869349 | + | 0.999962i | \(0.497233\pi\) | |||||||
\(74\) | −3.53175 | + | 4.95245i | −0.410557 | + | 0.575711i | ||||
\(75\) | −2.56061 | −0.295674 | ||||||||
\(76\) | −4.80522 | + | 4.03206i | −0.551197 | + | 0.462509i | ||||
\(77\) | 4.90212 | + | 4.11337i | 0.558649 | + | 0.468762i | ||||
\(78\) | 2.36318 | − | 13.4023i | 0.267577 | − | 1.51751i | ||||
\(79\) | 3.02805 | − | 1.10212i | 0.340682 | − | 0.123998i | −0.166013 | − | 0.986124i | \(-0.553089\pi\) |
0.506695 | + | 0.862125i | \(0.330867\pi\) | |||||||
\(80\) | −1.00000 | −0.111803 | ||||||||
\(81\) | 6.59645 | − | 2.40091i | 0.732939 | − | 0.266768i | ||||
\(82\) | 2.23327 | + | 3.86813i | 0.246623 | + | 0.427164i | ||||
\(83\) | 0.665479 | + | 3.77412i | 0.0730458 | + | 0.414263i | 0.999302 | + | 0.0373677i | \(0.0118973\pi\) |
−0.926256 | + | 0.376895i | \(0.876992\pi\) | |||||||
\(84\) | −1.57953 | + | 2.73582i | −0.172340 | + | 0.298502i | ||||
\(85\) | −2.36654 | − | 4.09897i | −0.256687 | − | 0.444596i | ||||
\(86\) | 8.88756 | − | 7.45755i | 0.958370 | − | 0.804168i | ||||
\(87\) | −2.34542 | + | 13.3016i | −0.251456 | + | 1.42608i | ||||
\(88\) | −2.59351 | + | 4.49209i | −0.276469 | + | 0.478858i | ||||
\(89\) | 9.40327 | + | 3.42251i | 0.996745 | + | 0.362786i | 0.788328 | − | 0.615255i | \(-0.210947\pi\) |
0.208417 | + | 0.978040i | \(0.433169\pi\) | |||||||
\(90\) | −3.34225 | − | 1.21648i | −0.352304 | − | 0.128228i | ||||
\(91\) | −1.13858 | − | 6.45723i | −0.119356 | − | 0.676902i | ||||
\(92\) | −0.160143 | − | 0.134376i | −0.0166961 | − | 0.0140097i | ||||
\(93\) | −6.17289 | − | 5.17967i | −0.640099 | − | 0.537107i | ||||
\(94\) | 1.61021 | + | 9.13193i | 0.166080 | + | 0.941886i | ||||
\(95\) | −5.89448 | − | 2.14541i | −0.604761 | − | 0.220115i | ||||
\(96\) | −2.40619 | − | 0.875782i | −0.245581 | − | 0.0893841i | ||||
\(97\) | −1.83095 | + | 3.17129i | −0.185904 | + | 0.321996i | −0.943881 | − | 0.330286i | \(-0.892855\pi\) |
0.757977 | + | 0.652282i | \(0.226188\pi\) | |||||||
\(98\) | 0.951238 | − | 5.39474i | 0.0960896 | − | 0.544951i | ||||
\(99\) | −14.1327 | + | 11.8587i | −1.42039 | + | 1.19185i | ||||
\(100\) | −0.500000 | − | 0.866025i | −0.0500000 | − | 0.0866025i | ||||
\(101\) | −7.72107 | + | 13.3733i | −0.768276 | + | 1.33069i | 0.170222 | + | 0.985406i | \(0.445552\pi\) |
−0.938497 | + | 0.345287i | \(0.887782\pi\) | |||||||
\(102\) | −2.10455 | − | 11.9355i | −0.208381 | − | 1.18179i | ||||
\(103\) | −1.23107 | − | 2.13228i | −0.121301 | − | 0.210100i | 0.798980 | − | 0.601358i | \(-0.205373\pi\) |
−0.920281 | + | 0.391258i | \(0.872040\pi\) | |||||||
\(104\) | 4.99423 | − | 1.81775i | 0.489724 | − | 0.178245i | ||||
\(105\) | −3.15905 | −0.308292 | ||||||||
\(106\) | 0.676178 | − | 0.246109i | 0.0656762 | − | 0.0239042i | ||||
\(107\) | 0.483855 | − | 2.74408i | 0.0467761 | − | 0.265280i | −0.952446 | − | 0.304706i | \(-0.901442\pi\) |
0.999222 | + | 0.0394258i | \(0.0125529\pi\) | |||||||
\(108\) | −1.09208 | − | 0.916365i | −0.105086 | − | 0.0881772i | ||||
\(109\) | 15.4292 | − | 12.9466i | 1.47785 | − | 1.24006i | 0.569404 | − | 0.822058i | \(-0.307174\pi\) |
0.908445 | − | 0.418005i | \(-0.137270\pi\) | |||||||
\(110\) | −5.18702 | −0.494563 | ||||||||
\(111\) | −14.0590 | − | 6.70396i | −1.33442 | − | 0.636312i | ||||
\(112\) | −1.23371 | −0.116574 | ||||||||
\(113\) | 3.26550 | − | 2.74008i | 0.307193 | − | 0.257765i | −0.476138 | − | 0.879371i | \(-0.657964\pi\) |
0.783331 | + | 0.621605i | \(0.213519\pi\) | |||||||
\(114\) | −12.3043 | − | 10.3245i | −1.15240 | − | 0.966983i | ||||
\(115\) | 0.0363015 | − | 0.205876i | 0.00338513 | − | 0.0191980i | ||||
\(116\) | −4.95670 | + | 1.80409i | −0.460218 | + | 0.167506i | ||||
\(117\) | 18.9032 | 1.74760 | ||||||||
\(118\) | −7.79670 | + | 2.83777i | −0.717745 | + | 0.261238i | ||||
\(119\) | −2.91962 | − | 5.05693i | −0.267641 | − | 0.463568i | ||||
\(120\) | −0.444646 | − | 2.52171i | −0.0405904 | − | 0.230200i | ||||
\(121\) | −7.95257 | + | 13.7743i | −0.722961 | + | 1.25220i | ||||
\(122\) | 4.20668 | + | 7.28618i | 0.380855 | + | 0.659660i | ||||
\(123\) | −8.76131 | + | 7.35161i | −0.789981 | + | 0.662873i | ||||
\(124\) | 0.546463 | − | 3.09914i | 0.0490738 | − | 0.278311i | ||||
\(125\) | 0.500000 | − | 0.866025i | 0.0447214 | − | 0.0774597i | ||||
\(126\) | −4.12336 | − | 1.50078i | −0.367338 | − | 0.133700i | ||||
\(127\) | 6.02529 | + | 2.19303i | 0.534658 | + | 0.194600i | 0.595217 | − | 0.803565i | \(-0.297066\pi\) |
−0.0605588 | + | 0.998165i | \(0.519288\pi\) | |||||||
\(128\) | −0.173648 | − | 0.984808i | −0.0153485 | − | 0.0870455i | ||||
\(129\) | 22.7576 | + | 19.0959i | 2.00370 | + | 1.68130i | ||||
\(130\) | 4.07133 | + | 3.41625i | 0.357079 | + | 0.299625i | ||||
\(131\) | −0.285928 | − | 1.62158i | −0.0249816 | − | 0.141678i | 0.969766 | − | 0.244037i | \(-0.0784719\pi\) |
−0.994747 | + | 0.102359i | \(0.967361\pi\) | |||||||
\(132\) | −12.4809 | − | 4.54269i | −1.08633 | − | 0.395391i | ||||
\(133\) | −7.27207 | − | 2.64682i | −0.630568 | − | 0.229508i | ||||
\(134\) | 6.34831 | − | 10.9956i | 0.548410 | − | 0.949874i | ||||
\(135\) | 0.247555 | − | 1.40395i | 0.0213061 | − | 0.120833i | ||||
\(136\) | 3.62575 | − | 3.04237i | 0.310906 | − | 0.260881i | ||||
\(137\) | 7.35786 | + | 12.7442i | 0.628624 | + | 1.08881i | 0.987828 | + | 0.155550i | \(0.0497149\pi\) |
−0.359204 | + | 0.933259i | \(0.616952\pi\) | |||||||
\(138\) | 0.267651 | − | 0.463585i | 0.0227839 | − | 0.0394630i | ||||
\(139\) | −2.77406 | − | 15.7325i | −0.235293 | − | 1.33441i | −0.841996 | − | 0.539484i | \(-0.818619\pi\) |
0.606703 | − | 0.794929i | \(-0.292492\pi\) | |||||||
\(140\) | −0.616854 | − | 1.06842i | −0.0521337 | − | 0.0902982i | ||||
\(141\) | −22.3121 | + | 8.12095i | −1.87902 | + | 0.683907i | ||||
\(142\) | −8.16857 | −0.685491 | ||||||||
\(143\) | 25.9051 | − | 9.42870i | 2.16630 | − | 0.788467i | ||||
\(144\) | 0.617622 | − | 3.50271i | 0.0514685 | − | 0.291893i | ||||
\(145\) | −4.04074 | − | 3.39058i | −0.335565 | − | 0.281572i | ||||
\(146\) | −0.113799 | + | 0.0954890i | −0.00941810 | + | 0.00790272i | ||||
\(147\) | 14.0270 | 1.15692 | ||||||||
\(148\) | −0.477900 | − | 6.06396i | −0.0392832 | − | 0.498454i | ||||
\(149\) | 13.1694 | 1.07888 | 0.539438 | − | 0.842025i | \(-0.318637\pi\) | ||||
0.539438 | + | 0.842025i | \(0.318637\pi\) | |||||||
\(150\) | 1.96154 | − | 1.64593i | 0.160159 | − | 0.134390i | ||||
\(151\) | −5.51716 | − | 4.62945i | −0.448980 | − | 0.376739i | 0.390077 | − | 0.920782i | \(-0.372448\pi\) |
−0.839057 | + | 0.544043i | \(0.816893\pi\) | |||||||
\(152\) | 1.08926 | − | 6.17747i | 0.0883503 | − | 0.501059i | ||||
\(153\) | 15.8191 | − | 5.75769i | 1.27890 | − | 0.465482i | ||||
\(154\) | −6.39927 | −0.515668 | ||||||||
\(155\) | 2.95717 | − | 1.07632i | 0.237526 | − | 0.0864522i | ||||
\(156\) | 6.80451 | + | 11.7857i | 0.544796 | + | 0.943615i | ||||
\(157\) | −0.127352 | − | 0.722248i | −0.0101638 | − | 0.0576417i | 0.979304 | − | 0.202395i | \(-0.0648724\pi\) |
−0.989468 | + | 0.144753i | \(0.953761\pi\) | |||||||
\(158\) | −1.61119 | + | 2.79066i | −0.128179 | + | 0.222013i | ||||
\(159\) | 0.921275 | + | 1.59569i | 0.0730618 | + | 0.126547i | ||||
\(160\) | 0.766044 | − | 0.642788i | 0.0605611 | − | 0.0508168i | ||||
\(161\) | 0.0447855 | − | 0.253991i | 0.00352959 | − | 0.0200173i | ||||
\(162\) | −3.50990 | + | 6.07932i | −0.275764 | + | 0.477637i | ||||
\(163\) | 10.5919 | + | 3.85515i | 0.829624 | + | 0.301958i | 0.721705 | − | 0.692201i | \(-0.243359\pi\) |
0.107919 | + | 0.994160i | \(0.465581\pi\) | |||||||
\(164\) | −4.19717 | − | 1.52765i | −0.327744 | − | 0.119289i | ||||
\(165\) | −2.30639 | − | 13.0802i | −0.179552 | − | 1.01829i | ||||
\(166\) | −2.93574 | − | 2.46338i | −0.227858 | − | 0.191195i | ||||
\(167\) | 11.7362 | + | 9.84787i | 0.908177 | + | 0.762051i | 0.971771 | − | 0.235925i | \(-0.0758119\pi\) |
−0.0635941 | + | 0.997976i | \(0.520256\pi\) | |||||||
\(168\) | −0.548564 | − | 3.11106i | −0.0423226 | − | 0.240023i | ||||
\(169\) | −14.3270 | − | 5.21461i | −1.10208 | − | 0.401124i | ||||
\(170\) | 4.44764 | + | 1.61881i | 0.341119 | + | 0.124157i | ||||
\(171\) | 11.1553 | − | 19.3216i | 0.853069 | − | 1.47756i | ||||
\(172\) | −2.01465 | + | 11.4256i | −0.153615 | + | 0.871196i | ||||
\(173\) | −10.3013 | + | 8.64382i | −0.783193 | + | 0.657177i | −0.944051 | − | 0.329800i | \(-0.893019\pi\) |
0.160857 | + | 0.986978i | \(0.448574\pi\) | |||||||
\(174\) | −6.75337 | − | 11.6972i | −0.511972 | − | 0.886762i | ||||
\(175\) | 0.616854 | − | 1.06842i | 0.0466298 | − | 0.0807652i | ||||
\(176\) | −0.900716 | − | 5.10821i | −0.0678940 | − | 0.385046i | ||||
\(177\) | −10.6228 | − | 18.3992i | −0.798459 | − | 1.38297i | ||||
\(178\) | −9.40327 | + | 3.42251i | −0.704805 | + | 0.256528i | ||||
\(179\) | 17.9949 | 1.34500 | 0.672502 | − | 0.740096i | \(-0.265220\pi\) | ||||
0.672502 | + | 0.740096i | \(0.265220\pi\) | |||||||
\(180\) | 3.34225 | − | 1.21648i | 0.249116 | − | 0.0906710i | ||||
\(181\) | −0.0543893 | + | 0.308457i | −0.00404273 | + | 0.0229274i | −0.986762 | − | 0.162173i | \(-0.948150\pi\) |
0.982720 | + | 0.185100i | \(0.0592609\pi\) | |||||||
\(182\) | 5.02284 | + | 4.21466i | 0.372317 | + | 0.312411i | ||||
\(183\) | −16.5032 | + | 13.8478i | −1.21995 | + | 1.02366i | ||||
\(184\) | 0.209052 | 0.0154115 | ||||||||
\(185\) | 5.01259 | − | 3.44585i | 0.368533 | − | 0.253344i | ||||
\(186\) | 8.05813 | 0.590851 | ||||||||
\(187\) | 18.8068 | − | 15.7808i | 1.37529 | − | 1.15401i | ||||
\(188\) | −7.10338 | − | 5.96044i | −0.518067 | − | 0.434710i | ||||
\(189\) | 0.305410 | − | 1.73207i | 0.0222153 | − | 0.125989i | ||||
\(190\) | 5.89448 | − | 2.14541i | 0.427630 | − | 0.155645i | ||||
\(191\) | −13.3311 | −0.964606 | −0.482303 | − | 0.876005i | \(-0.660200\pi\) | ||||
−0.482303 | + | 0.876005i | \(0.660200\pi\) | |||||||
\(192\) | 2.40619 | − | 0.875782i | 0.173652 | − | 0.0632041i | ||||
\(193\) | 2.83112 | + | 4.90364i | 0.203788 | + | 0.352972i | 0.949746 | − | 0.313022i | \(-0.101341\pi\) |
−0.745958 | + | 0.665993i | \(0.768008\pi\) | |||||||
\(194\) | −0.635881 | − | 3.60626i | −0.0456536 | − | 0.258914i | ||||
\(195\) | −6.80451 | + | 11.7857i | −0.487281 | + | 0.843995i | ||||
\(196\) | 2.73898 | + | 4.74406i | 0.195642 | + | 0.338861i | ||||
\(197\) | −9.49637 | + | 7.96840i | −0.676588 | + | 0.567725i | −0.915007 | − | 0.403437i | \(-0.867815\pi\) |
0.238419 | + | 0.971162i | \(0.423371\pi\) | |||||||
\(198\) | 3.20362 | − | 18.1686i | 0.227671 | − | 1.29119i | ||||
\(199\) | −10.7998 | + | 18.7058i | −0.765575 | + | 1.32602i | 0.174366 | + | 0.984681i | \(0.444212\pi\) |
−0.939942 | + | 0.341335i | \(0.889121\pi\) | |||||||
\(200\) | 0.939693 | + | 0.342020i | 0.0664463 | + | 0.0241845i | ||||
\(201\) | 30.5505 | + | 11.1195i | 2.15486 | + | 0.784306i | ||||
\(202\) | −2.68150 | − | 15.2075i | −0.188670 | − | 1.07000i | ||||
\(203\) | −4.98509 | − | 4.18299i | −0.349885 | − | 0.293588i | ||||
\(204\) | 9.28415 | + | 7.79033i | 0.650021 | + | 0.545432i | ||||
\(205\) | −0.775606 | − | 4.39868i | −0.0541707 | − | 0.307217i | ||||
\(206\) | 2.31366 | + | 0.842103i | 0.161200 | + | 0.0586721i | ||||
\(207\) | 0.698704 | + | 0.254307i | 0.0485633 | + | 0.0176756i | ||||
\(208\) | −2.65737 | + | 4.60270i | −0.184256 | + | 0.319140i | ||||
\(209\) | 5.64998 | − | 32.0427i | 0.390818 | − | 2.21644i | ||||
\(210\) | 2.41997 | − | 2.03060i | 0.166994 | − | 0.140125i | ||||
\(211\) | −0.296574 | − | 0.513681i | −0.0204170 | − | 0.0353633i | 0.855636 | − | 0.517577i | \(-0.173166\pi\) |
−0.876053 | + | 0.482214i | \(0.839833\pi\) | |||||||
\(212\) | −0.359787 | + | 0.623169i | −0.0247102 | + | 0.0427994i | ||||
\(213\) | −3.63212 | − | 20.5988i | −0.248869 | − | 1.41141i | ||||
\(214\) | 1.39321 | + | 2.41310i | 0.0952376 | + | 0.164956i | ||||
\(215\) | −10.9022 | + | 3.96808i | −0.743524 | + | 0.270621i | ||||
\(216\) | 1.42561 | 0.0970005 | ||||||||
\(217\) | 3.64828 | − | 1.32787i | 0.247662 | − | 0.0901415i | ||||
\(218\) | −3.49751 | + | 19.8354i | −0.236882 | + | 1.34342i | ||||
\(219\) | −0.291396 | − | 0.244510i | −0.0196907 | − | 0.0165225i | ||||
\(220\) | 3.97348 | − | 3.33415i | 0.267892 | − | 0.224788i | ||||
\(221\) | −25.1551 | −1.69212 | ||||||||
\(222\) | 15.0791 | − | 3.90144i | 1.01204 | − | 0.261848i | ||||
\(223\) | 15.8884 | 1.06397 | 0.531983 | − | 0.846755i | \(-0.321447\pi\) | ||||
0.531983 | + | 0.846755i | \(0.321447\pi\) | |||||||
\(224\) | 0.945076 | − | 0.793013i | 0.0631455 | − | 0.0529854i | ||||
\(225\) | 2.72463 | + | 2.28623i | 0.181642 | + | 0.152415i | ||||
\(226\) | −0.740230 | + | 4.19805i | −0.0492393 | + | 0.279250i | ||||
\(227\) | 0.182449 | − | 0.0664061i | 0.0121096 | − | 0.00440753i | −0.335958 | − | 0.941877i | \(-0.609060\pi\) |
0.348068 | + | 0.937469i | \(0.386838\pi\) | |||||||
\(228\) | 16.0621 | 1.06374 | ||||||||
\(229\) | −26.3821 | + | 9.60230i | −1.74338 | + | 0.634538i | −0.999432 | − | 0.0337020i | \(-0.989270\pi\) |
−0.743946 | + | 0.668240i | \(0.767048\pi\) | |||||||
\(230\) | 0.104526 | + | 0.181044i | 0.00689224 | + | 0.0119377i | ||||
\(231\) | −2.84541 | − | 16.1371i | −0.187214 | − | 1.06174i | ||||
\(232\) | 2.63740 | − | 4.56812i | 0.173154 | − | 0.299912i | ||||
\(233\) | 5.31591 | + | 9.20742i | 0.348257 | + | 0.603198i | 0.985940 | − | 0.167101i | \(-0.0534405\pi\) |
−0.637683 | + | 0.770299i | \(0.720107\pi\) | |||||||
\(234\) | −14.4807 | + | 12.1507i | −0.946632 | + | 0.794319i | ||||
\(235\) | 1.61021 | − | 9.13193i | 0.105038 | − | 0.595701i | ||||
\(236\) | 4.14854 | − | 7.18548i | 0.270047 | − | 0.467735i | ||||
\(237\) | −7.75366 | − | 2.82210i | −0.503655 | − | 0.183315i | ||||
\(238\) | 5.48710 | + | 1.99714i | 0.355676 | + | 0.129455i | ||||
\(239\) | 2.33920 | + | 13.2663i | 0.151310 | + | 0.858124i | 0.962082 | + | 0.272761i | \(0.0879369\pi\) |
−0.810771 | + | 0.585363i | \(0.800952\pi\) | |||||||
\(240\) | 1.96154 | + | 1.64593i | 0.126617 | + | 0.106244i | ||||
\(241\) | 21.8597 | + | 18.3425i | 1.40811 | + | 1.18154i | 0.957361 | + | 0.288893i | \(0.0932871\pi\) |
0.450748 | + | 0.892651i | \(0.351157\pi\) | |||||||
\(242\) | −2.76190 | − | 15.6635i | −0.177542 | − | 1.00689i | ||||
\(243\) | −20.9099 | − | 7.61057i | −1.34137 | − | 0.488218i | ||||
\(244\) | −7.90597 | − | 2.87754i | −0.506128 | − | 0.184216i | ||||
\(245\) | −2.73898 | + | 4.74406i | −0.174987 | + | 0.303087i | ||||
\(246\) | 1.98603 | − | 11.2633i | 0.126624 | − | 0.718123i | ||||
\(247\) | −25.5385 | + | 21.4294i | −1.62498 | + | 1.36352i | ||||
\(248\) | 1.57348 | + | 2.72534i | 0.0999159 | + | 0.173059i | ||||
\(249\) | 4.90657 | − | 8.49843i | 0.310941 | − | 0.538566i | ||||
\(250\) | 0.173648 | + | 0.984808i | 0.0109825 | + | 0.0622847i | ||||
\(251\) | −14.6985 | − | 25.4586i | −0.927764 | − | 1.60693i | −0.787055 | − | 0.616883i | \(-0.788395\pi\) |
−0.140709 | − | 0.990051i | \(-0.544938\pi\) | |||||||
\(252\) | 4.12336 | − | 1.50078i | 0.259747 | − | 0.0945402i | ||||
\(253\) | 1.08436 | 0.0681729 | ||||||||
\(254\) | −6.02529 | + | 2.19303i | −0.378061 | + | 0.137603i | ||||
\(255\) | −2.10455 | + | 11.9355i | −0.131792 | + | 0.747429i | ||||
\(256\) | 0.766044 | + | 0.642788i | 0.0478778 | + | 0.0401742i | ||||
\(257\) | −17.1169 | + | 14.3628i | −1.06772 | + | 0.895924i | −0.994844 | − | 0.101417i | \(-0.967662\pi\) |
−0.0728768 | + | 0.997341i | \(0.523218\pi\) | |||||||
\(258\) | −29.7079 | −1.84954 | ||||||||
\(259\) | 6.18408 | − | 4.25118i | 0.384260 | − | 0.264155i | ||||
\(260\) | −5.31474 | −0.329606 | ||||||||
\(261\) | 14.3719 | − | 12.0594i | 0.889597 | − | 0.746460i | ||||
\(262\) | 1.26136 | + | 1.05841i | 0.0779273 | + | 0.0653887i | ||||
\(263\) | 0.300098 | − | 1.70194i | 0.0185048 | − | 0.104946i | −0.974156 | − | 0.225875i | \(-0.927476\pi\) |
0.992661 | + | 0.120928i | \(0.0385872\pi\) | |||||||
\(264\) | 12.4809 | − | 4.54269i | 0.768149 | − | 0.279583i | ||||
\(265\) | −0.719573 | −0.0442030 | ||||||||
\(266\) | 7.27207 | − | 2.64682i | 0.445879 | − | 0.162287i | ||||
\(267\) | −12.8117 | − | 22.1905i | −0.784064 | − | 1.35804i | ||||
\(268\) | 2.20474 | + | 12.5037i | 0.134676 | + | 0.763786i | ||||
\(269\) | 7.47806 | − | 12.9524i | 0.455945 | − | 0.789720i | −0.542797 | − | 0.839864i | \(-0.682635\pi\) |
0.998742 | + | 0.0501438i | \(0.0159679\pi\) | |||||||
\(270\) | 0.712805 | + | 1.23461i | 0.0433799 | + | 0.0751362i | ||||
\(271\) | 7.99367 | − | 6.70749i | 0.485581 | − | 0.407451i | −0.366859 | − | 0.930277i | \(-0.619567\pi\) |
0.852439 | + | 0.522826i | \(0.175122\pi\) | |||||||
\(272\) | −0.821891 | + | 4.66118i | −0.0498345 | + | 0.282625i | ||||
\(273\) | −8.39478 | + | 14.5402i | −0.508075 | + | 0.880012i | ||||
\(274\) | −13.8282 | − | 5.03307i | −0.835395 | − | 0.304059i | ||||
\(275\) | 4.87420 | + | 1.77406i | 0.293925 | + | 0.106980i | ||||
\(276\) | 0.0929541 | + | 0.527169i | 0.00559518 | + | 0.0317319i | ||||
\(277\) | −2.30168 | − | 1.93134i | −0.138294 | − | 0.116043i | 0.571016 | − | 0.820939i | \(-0.306549\pi\) |
−0.709311 | + | 0.704896i | \(0.750994\pi\) | |||||||
\(278\) | 12.2377 | + | 10.2687i | 0.733969 | + | 0.615873i | ||||
\(279\) | 1.94363 | + | 11.0229i | 0.116362 | + | 0.659922i | ||||
\(280\) | 1.15931 | + | 0.421953i | 0.0692818 | + | 0.0252165i | ||||
\(281\) | 3.33230 | + | 1.21286i | 0.198788 | + | 0.0723530i | 0.439496 | − | 0.898245i | \(-0.355157\pi\) |
−0.240707 | + | 0.970598i | \(0.577379\pi\) | |||||||
\(282\) | 11.8720 | − | 20.5630i | 0.706969 | − | 1.22451i | ||||
\(283\) | −2.40182 | + | 13.6214i | −0.142774 | + | 0.809709i | 0.826354 | + | 0.563150i | \(0.190411\pi\) |
−0.969128 | + | 0.246558i | \(0.920700\pi\) | |||||||
\(284\) | 6.25749 | − | 5.25066i | 0.371314 | − | 0.311569i | ||||
\(285\) | 8.03107 | + | 13.9102i | 0.475720 | + | 0.823971i | ||||
\(286\) | −13.7838 | + | 23.8743i | −0.815055 | + | 1.41172i | ||||
\(287\) | −0.956872 | − | 5.42669i | −0.0564823 | − | 0.320327i | ||||
\(288\) | 1.77837 | + | 3.08023i | 0.104792 | + | 0.181504i | ||||
\(289\) | −5.07629 | + | 1.84762i | −0.298606 | + | 0.108684i | ||||
\(290\) | 5.27481 | 0.309747 | ||||||||
\(291\) | 8.81121 | − | 3.20702i | 0.516522 | − | 0.187999i | ||||
\(292\) | 0.0257962 | − | 0.146298i | 0.00150961 | − | 0.00856142i | ||||
\(293\) | −16.4592 | − | 13.8109i | −0.961554 | − | 0.806840i | 0.0196511 | − | 0.999807i | \(-0.493744\pi\) |
−0.981205 | + | 0.192967i | \(0.938189\pi\) | |||||||
\(294\) | −10.7453 | + | 9.01635i | −0.626677 | + | 0.525844i | ||||
\(295\) | 8.29708 | 0.483075 | ||||||||
\(296\) | 4.26393 | + | 4.33807i | 0.247836 | + | 0.252145i | ||||
\(297\) | 7.39466 | 0.429082 | ||||||||
\(298\) | −10.0883 | + | 8.46510i | −0.584400 | + | 0.490370i | ||||
\(299\) | −0.851120 | − | 0.714174i | −0.0492215 | − | 0.0413018i | ||||
\(300\) | −0.444646 | + | 2.52171i | −0.0256716 | + | 0.145591i | ||||
\(301\) | −13.4501 | + | 4.89545i | −0.775253 | + | 0.282169i | ||||
\(302\) | 7.20215 | 0.414437 | ||||||||
\(303\) | 37.1567 | − | 13.5240i | 2.13460 | − | 0.776931i | ||||
\(304\) | 3.13639 | + | 5.43238i | 0.179884 | + | 0.311568i | ||||
\(305\) | −1.46096 | − | 8.28554i | −0.0836546 | − | 0.474429i | ||||
\(306\) | −8.41719 | + | 14.5790i | −0.481179 | + | 0.833426i | ||||
\(307\) | −6.54385 | − | 11.3343i | −0.373477 | − | 0.646881i | 0.616621 | − | 0.787260i | \(-0.288501\pi\) |
−0.990098 | + | 0.140379i | \(0.955168\pi\) | |||||||
\(308\) | 4.90212 | − | 4.11337i | 0.279324 | − | 0.234381i | ||||
\(309\) | −1.09478 | + | 6.20882i | −0.0622800 | + | 0.353207i | ||||
\(310\) | −1.57348 | + | 2.72534i | −0.0893675 | + | 0.154789i | ||||
\(311\) | 1.41780 | + | 0.516038i | 0.0803962 | + | 0.0292618i | 0.381905 | − | 0.924202i | \(-0.375268\pi\) |
−0.301509 | + | 0.953463i | \(0.597490\pi\) | |||||||
\(312\) | −12.7883 | − | 4.65456i | −0.723994 | − | 0.263512i | ||||
\(313\) | 5.38544 | + | 30.5423i | 0.304403 | + | 1.72635i | 0.626302 | + | 0.779581i | \(0.284568\pi\) |
−0.321899 | + | 0.946774i | \(0.604321\pi\) | |||||||
\(314\) | 0.561810 | + | 0.471414i | 0.0317047 | + | 0.0266034i | ||||
\(315\) | 3.36139 | + | 2.82054i | 0.189393 | + | 0.158920i | ||||
\(316\) | −0.559561 | − | 3.17343i | −0.0314777 | − | 0.178519i | ||||
\(317\) | 4.88872 | + | 1.77935i | 0.274578 | + | 0.0999382i | 0.475639 | − | 0.879640i | \(-0.342217\pi\) |
−0.201061 | + | 0.979579i | \(0.564439\pi\) | |||||||
\(318\) | −1.73143 | − | 0.630189i | −0.0970938 | − | 0.0353392i | ||||
\(319\) | 13.6803 | − | 23.6949i | 0.765947 | − | 1.32666i | ||||
\(320\) | −0.173648 | + | 0.984808i | −0.00970723 | + | 0.0550524i | ||||
\(321\) | −5.46567 | + | 4.58624i | −0.305064 | + | 0.255979i | ||||
\(322\) | 0.128955 | + | 0.223356i | 0.00718636 | + | 0.0124471i | ||||
\(323\) | −14.8448 | + | 25.7119i | −0.825985 | + | 1.43065i | ||||
\(324\) | −1.21898 | − | 6.91315i | −0.0677208 | − | 0.384064i | ||||
\(325\) | −2.65737 | − | 4.60270i | −0.147404 | − | 0.255312i | ||||
\(326\) | −10.5919 | + | 3.85515i | −0.586633 | + | 0.213517i | ||||
\(327\) | −51.5743 | −2.85207 | ||||||||
\(328\) | 4.19717 | − | 1.52765i | 0.231750 | − | 0.0843501i | ||||
\(329\) | 1.98652 | − | 11.2661i | 0.109521 | − | 0.621122i | ||||
\(330\) | 10.1746 | + | 8.53747i | 0.560091 | + | 0.469972i | ||||
\(331\) | −7.65843 | + | 6.42619i | −0.420945 | + | 0.353215i | −0.828523 | − | 0.559956i | \(-0.810818\pi\) |
0.407577 | + | 0.913171i | \(0.366374\pi\) | |||||||
\(332\) | 3.83234 | 0.210327 | ||||||||
\(333\) | 8.97394 | + | 19.6859i | 0.491769 | + | 1.07878i | ||||
\(334\) | −15.3206 | −0.838304 | ||||||||
\(335\) | −9.72617 | + | 8.16122i | −0.531397 | + | 0.445895i | ||||
\(336\) | 2.41997 | + | 2.03060i | 0.132020 | + | 0.110778i | ||||
\(337\) | 4.15151 | − | 23.5444i | 0.226147 | − | 1.28255i | −0.634332 | − | 0.773061i | \(-0.718725\pi\) |
0.860479 | − | 0.509485i | \(-0.170164\pi\) | |||||||
\(338\) | 14.3270 | − | 5.21461i | 0.779288 | − | 0.283638i | ||||
\(339\) | −10.9154 | −0.592844 | ||||||||
\(340\) | −4.44764 | + | 1.61881i | −0.241207 | + | 0.0877923i | ||||
\(341\) | 8.16165 | + | 14.1364i | 0.441978 | + | 0.765529i | ||||
\(342\) | 3.87420 | + | 21.9717i | 0.209493 | + | 1.18809i | ||||
\(343\) | −7.69708 | + | 13.3317i | −0.415604 | + | 0.719846i | ||||
\(344\) | −5.80094 | − | 10.0475i | −0.312766 | − | 0.541726i | ||||
\(345\) | −0.410065 | + | 0.344085i | −0.0220771 | + | 0.0185249i | ||||
\(346\) | 2.33512 | − | 13.2431i | 0.125537 | − | 0.711953i | ||||
\(347\) | −3.96705 | + | 6.87113i | −0.212962 | + | 0.368861i | −0.952640 | − | 0.304100i | \(-0.901644\pi\) |
0.739678 | + | 0.672961i | \(0.234978\pi\) | |||||||
\(348\) | 12.6922 | + | 4.61958i | 0.680373 | + | 0.247636i | ||||
\(349\) | 14.4718 | + | 5.26731i | 0.774658 | + | 0.281952i | 0.698943 | − | 0.715177i | \(-0.253654\pi\) |
0.0757146 | + | 0.997130i | \(0.475876\pi\) | |||||||
\(350\) | 0.214231 | + | 1.21497i | 0.0114511 | + | 0.0649426i | ||||
\(351\) | −5.80413 | − | 4.87024i | −0.309802 | − | 0.259954i | ||||
\(352\) | 3.97348 | + | 3.33415i | 0.211787 | + | 0.177711i | ||||
\(353\) | 1.46385 | + | 8.30193i | 0.0779131 | + | 0.441867i | 0.998662 | + | 0.0517115i | \(0.0164676\pi\) |
−0.920749 | + | 0.390155i | \(0.872421\pi\) | |||||||
\(354\) | 19.9643 | + | 7.26643i | 1.06109 | + | 0.386206i | ||||
\(355\) | 7.67595 | + | 2.79382i | 0.407397 | + | 0.148280i | ||||
\(356\) | 5.00338 | − | 8.66610i | 0.265178 | − | 0.459303i | ||||
\(357\) | −2.59640 | + | 14.7249i | −0.137416 | + | 0.779324i | ||||
\(358\) | −13.7849 | + | 11.5669i | −0.728555 | + | 0.611330i | ||||
\(359\) | −5.98883 | − | 10.3730i | −0.316079 | − | 0.547464i | 0.663588 | − | 0.748099i | \(-0.269033\pi\) |
−0.979666 | + | 0.200634i | \(0.935700\pi\) | |||||||
\(360\) | −1.77837 | + | 3.08023i | −0.0937285 | + | 0.162342i | ||||
\(361\) | 3.53333 | + | 20.0385i | 0.185965 | + | 1.05466i | ||||
\(362\) | −0.156608 | − | 0.271253i | −0.00823112 | − | 0.0142567i | ||||
\(363\) | 38.2708 | − | 13.9294i | 2.00870 | − | 0.731105i | ||||
\(364\) | −6.55685 | −0.343672 | ||||||||
\(365\) | 0.139596 | − | 0.0508086i | 0.00730676 | − | 0.00265944i | ||||
\(366\) | 3.74097 | − | 21.2161i | 0.195543 | − | 1.10898i | ||||
\(367\) | 27.3321 | + | 22.9343i | 1.42672 | + | 1.19716i | 0.947618 | + | 0.319406i | \(0.103483\pi\) |
0.479106 | + | 0.877757i | \(0.340961\pi\) | |||||||
\(368\) | −0.160143 | + | 0.134376i | −0.00834804 | + | 0.00700484i | ||||
\(369\) | 15.8863 | 0.827009 | ||||||||
\(370\) | −1.62492 | + | 5.86171i | −0.0844754 | + | 0.304736i | ||||
\(371\) | −0.887744 | −0.0460894 | ||||||||
\(372\) | −6.17289 | + | 5.17967i | −0.320049 | + | 0.268553i | ||||
\(373\) | 4.75384 | + | 3.98894i | 0.246144 | + | 0.206540i | 0.757510 | − | 0.652824i | \(-0.226416\pi\) |
−0.511366 | + | 0.859363i | \(0.670860\pi\) | |||||||
\(374\) | −4.26316 | + | 24.1776i | −0.220443 | + | 1.25019i | ||||
\(375\) | −2.40619 | + | 0.875782i | −0.124255 | + | 0.0452252i | ||||
\(376\) | 9.27280 | 0.478208 | ||||||||
\(377\) | −26.3436 | + | 9.58828i | −1.35676 | + | 0.493822i | ||||
\(378\) | 0.879394 | + | 1.52315i | 0.0452311 | + | 0.0783426i | ||||
\(379\) | 2.51631 | + | 14.2707i | 0.129254 | + | 0.733036i | 0.978690 | + | 0.205344i | \(0.0658314\pi\) |
−0.849436 | + | 0.527692i | \(0.823057\pi\) | |||||||
\(380\) | −3.13639 | + | 5.43238i | −0.160893 | + | 0.278675i | ||||
\(381\) | −8.20931 | − | 14.2189i | −0.420576 | − | 0.728458i | ||||
\(382\) | 10.2122 | − | 8.56908i | 0.522503 | − | 0.438432i | ||||
\(383\) | −3.65503 | + | 20.7287i | −0.186763 | + | 1.05919i | 0.736905 | + | 0.675996i | \(0.236286\pi\) |
−0.923669 | + | 0.383192i | \(0.874825\pi\) | |||||||
\(384\) | −1.28031 | + | 2.21756i | −0.0653354 | + | 0.113164i | ||||
\(385\) | 6.01334 | + | 2.18868i | 0.306468 | + | 0.111545i | ||||
\(386\) | −5.32076 | − | 1.93660i | −0.270820 | − | 0.0985703i | ||||
\(387\) | −7.16558 | − | 40.6380i | −0.364247 | − | 2.06575i | ||||
\(388\) | 2.80517 | + | 2.35382i | 0.142411 | + | 0.119497i | ||||
\(389\) | 19.8340 | + | 16.6427i | 1.00562 | + | 0.843817i | 0.987753 | − | 0.156023i | \(-0.0498675\pi\) |
0.0178685 | + | 0.999840i | \(0.494312\pi\) | |||||||
\(390\) | −2.36318 | − | 13.4023i | −0.119664 | − | 0.678650i | ||||
\(391\) | −0.929789 | − | 0.338415i | −0.0470214 | − | 0.0171144i | ||||
\(392\) | −5.14760 | − | 1.87357i | −0.259993 | − | 0.0946298i | ||||
\(393\) | −2.10814 | + | 3.65141i | −0.106342 | + | 0.184189i | ||||
\(394\) | 2.15265 | − | 12.2083i | 0.108449 | − | 0.615045i | ||||
\(395\) | 2.46849 | − | 2.07131i | 0.124203 | − | 0.104219i | ||||
\(396\) | 9.22445 | + | 15.9772i | 0.463546 | + | 0.802885i | ||||
\(397\) | 18.5033 | − | 32.0486i | 0.928653 | − | 1.60847i | 0.143075 | − | 0.989712i | \(-0.454301\pi\) |
0.785578 | − | 0.618763i | \(-0.212366\pi\) | |||||||
\(398\) | −3.75072 | − | 21.2714i | −0.188007 | − | 1.06624i | ||||
\(399\) | 9.90800 | + | 17.1612i | 0.496021 | + | 0.859133i | ||||
\(400\) | −0.939693 | + | 0.342020i | −0.0469846 | + | 0.0171010i | ||||
\(401\) | 14.4053 | 0.719368 | 0.359684 | − | 0.933074i | \(-0.382884\pi\) | ||||
0.359684 | + | 0.933074i | \(0.382884\pi\) | |||||||
\(402\) | −30.5505 | + | 11.1195i | −1.52372 | + | 0.554588i | ||||
\(403\) | 2.90431 | − | 16.4712i | 0.144674 | − | 0.820487i | ||||
\(404\) | 11.8294 | + | 9.92602i | 0.588533 | + | 0.493838i | ||||
\(405\) | 5.37748 | − | 4.51224i | 0.267209 | − | 0.224215i | ||||
\(406\) | 6.50758 | 0.322966 | ||||||||
\(407\) | 22.1171 | + | 22.5017i | 1.09630 | + | 1.11537i | ||||
\(408\) | −12.1196 | −0.600010 | ||||||||
\(409\) | 25.8435 | − | 21.6853i | 1.27788 | − | 1.07227i | 0.284346 | − | 0.958722i | \(-0.408223\pi\) |
0.993533 | − | 0.113546i | \(-0.0362209\pi\) | |||||||
\(410\) | 3.42157 | + | 2.87103i | 0.168979 | + | 0.141790i | ||||
\(411\) | 6.54328 | − | 37.1088i | 0.322756 | − | 1.83044i | ||||
\(412\) | −2.31366 | + | 0.842103i | −0.113986 | + | 0.0414874i | ||||
\(413\) | 10.2362 | 0.503689 | ||||||||
\(414\) | −0.698704 | + | 0.254307i | −0.0343394 | + | 0.0124985i | ||||
\(415\) | 1.91617 | + | 3.31890i | 0.0940610 | + | 0.162919i | ||||
\(416\) | −0.922896 | − | 5.23400i | −0.0452487 | − | 0.256618i | ||||
\(417\) | −20.4532 | + | 35.4259i | −1.00160 | + | 1.73481i | ||||
\(418\) | 16.2685 | + | 28.1778i | 0.795717 | + | 1.37822i | ||||
\(419\) | −30.2096 | + | 25.3489i | −1.47584 | + | 1.23837i | −0.565337 | + | 0.824860i | \(0.691254\pi\) |
−0.910498 | + | 0.413513i | \(0.864302\pi\) | |||||||
\(420\) | −0.548564 | + | 3.11106i | −0.0267672 | + | 0.151804i | ||||
\(421\) | 1.02550 | − | 1.77622i | 0.0499798 | − | 0.0865675i | −0.839953 | − | 0.542659i | \(-0.817418\pi\) |
0.889933 | + | 0.456091i | \(0.150751\pi\) | |||||||
\(422\) | 0.557377 | + | 0.202868i | 0.0271327 | + | 0.00987548i | ||||
\(423\) | 30.9920 | + | 11.2802i | 1.50688 | + | 0.548460i | ||||
\(424\) | −0.124953 | − | 0.708641i | −0.00606823 | − | 0.0344147i | ||||
\(425\) | −3.62575 | − | 3.04237i | −0.175875 | − | 0.147576i | ||||
\(426\) | 16.0230 | + | 13.4449i | 0.776318 | + | 0.651408i | ||||
\(427\) | −1.80240 | − | 10.2219i | −0.0872245 | − | 0.494675i | ||||
\(428\) | −2.61837 | − | 0.953009i | −0.126564 | − | 0.0460654i | ||||
\(429\) | −66.3331 | − | 24.1433i | −3.20259 | − | 1.16565i | ||||
\(430\) | 5.80094 | − | 10.0475i | 0.279746 | − | 0.484535i | ||||
\(431\) | 2.35103 | − | 13.3334i | 0.113245 | − | 0.642246i | −0.874359 | − | 0.485280i | \(-0.838718\pi\) |
0.987604 | − | 0.156966i | \(-0.0501713\pi\) | |||||||
\(432\) | −1.09208 | + | 0.916365i | −0.0525428 | + | 0.0440886i | ||||
\(433\) | −13.5422 | − | 23.4558i | −0.650796 | − | 1.12721i | −0.982930 | − | 0.183980i | \(-0.941102\pi\) |
0.332134 | − | 0.943232i | \(-0.392231\pi\) | |||||||
\(434\) | −1.94121 | + | 3.36228i | −0.0931811 | + | 0.161394i | ||||
\(435\) | 2.34542 | + | 13.3016i | 0.112454 | + | 0.637761i | ||||
\(436\) | −10.0707 | − | 17.4430i | −0.482299 | − | 0.835366i | ||||
\(437\) | −1.23225 | + | 0.448503i | −0.0589466 | + | 0.0214548i | ||||
\(438\) | 0.380391 | 0.0181758 | ||||||||
\(439\) | −21.0506 | + | 7.66180i | −1.00469 | + | 0.365678i | −0.791392 | − | 0.611309i | \(-0.790643\pi\) |
−0.213299 | + | 0.976987i | \(0.568421\pi\) | |||||||
\(440\) | −0.900716 | + | 5.10821i | −0.0429399 | + | 0.243525i | ||||
\(441\) | −14.9254 | − | 12.5239i | −0.710733 | − | 0.596376i | ||||
\(442\) | 19.2699 | − | 16.1694i | 0.916578 | − | 0.769100i | ||||
\(443\) | 8.87936 | 0.421871 | 0.210936 | − | 0.977500i | \(-0.432349\pi\) | ||||
0.210936 | + | 0.977500i | \(0.432349\pi\) | |||||||
\(444\) | −9.04344 | + | 12.6813i | −0.429183 | + | 0.601829i | ||||
\(445\) | 10.0068 | 0.474366 | ||||||||
\(446\) | −12.1712 | + | 10.2129i | −0.576324 | + | 0.483593i | ||||
\(447\) | −25.8323 | − | 21.6759i | −1.22182 | − | 1.02523i | ||||
\(448\) | −0.214231 | + | 1.21497i | −0.0101215 | + | 0.0574017i | ||||
\(449\) | 1.91474 | − | 0.696910i | 0.0903624 | − | 0.0328892i | −0.296443 | − | 0.955050i | \(-0.595801\pi\) |
0.386806 | + | 0.922161i | \(0.373578\pi\) | |||||||
\(450\) | −3.55675 | −0.167667 | ||||||||
\(451\) | 21.7708 | − | 7.92392i | 1.02515 | − | 0.373123i | ||||
\(452\) | −2.13141 | − | 3.69170i | −0.100253 | − | 0.173643i | ||||
\(453\) | 3.20241 | + | 18.1617i | 0.150462 | + | 0.853313i | ||||
\(454\) | −0.0970793 | + | 0.168146i | −0.00455616 | + | 0.00789149i | ||||
\(455\) | −3.27842 | − | 5.67839i | −0.153695 | − | 0.266207i | ||||
\(456\) | −12.3043 | + | 10.3245i | −0.576202 | + | 0.483491i | ||||
\(457\) | 2.63244 | − | 14.9293i | 0.123140 | − | 0.698364i | −0.859255 | − | 0.511548i | \(-0.829072\pi\) |
0.982395 | − | 0.186816i | \(-0.0598167\pi\) | |||||||
\(458\) | 14.0376 | − | 24.3139i | 0.655935 | − | 1.13611i | ||||
\(459\) | −6.34061 | − | 2.30779i | −0.295954 | − | 0.107718i | ||||
\(460\) | −0.196445 | − | 0.0715000i | −0.00915928 | − | 0.00333370i | ||||
\(461\) | 2.73767 | + | 15.5261i | 0.127506 | + | 0.723122i | 0.979788 | + | 0.200039i | \(0.0641070\pi\) |
−0.852282 | + | 0.523083i | \(0.824782\pi\) | |||||||
\(462\) | 12.5524 | + | 10.5328i | 0.583993 | + | 0.490028i | ||||
\(463\) | −23.1635 | − | 19.4365i | −1.07650 | − | 0.903289i | −0.0808725 | − | 0.996724i | \(-0.525771\pi\) |
−0.995625 | + | 0.0934355i | \(0.970215\pi\) | |||||||
\(464\) | 0.915961 | + | 5.19467i | 0.0425224 | + | 0.241157i | ||||
\(465\) | −7.57217 | − | 2.75604i | −0.351151 | − | 0.127808i | ||||
\(466\) | −9.99063 | − | 3.63629i | −0.462807 | − | 0.168448i | ||||
\(467\) | 12.7541 | − | 22.0907i | 0.590187 | − | 1.02223i | −0.404019 | − | 0.914750i | \(-0.632387\pi\) |
0.994207 | − | 0.107484i | \(-0.0342795\pi\) | |||||||
\(468\) | 3.28251 | − | 18.6160i | 0.151734 | − | 0.860525i | ||||
\(469\) | −11.9993 | + | 10.0686i | −0.554074 | + | 0.464923i | ||||
\(470\) | 4.63640 | + | 8.03048i | 0.213861 | + | 0.370419i | ||||
\(471\) | −0.938965 | + | 1.62633i | −0.0432652 | + | 0.0749376i | ||||
\(472\) | 1.44077 | + | 8.17103i | 0.0663169 | + | 0.376102i | ||||
\(473\) | −30.0896 | − | 52.1167i | −1.38352 | − | 2.39633i | ||||
\(474\) | 7.75366 | − | 2.82210i | 0.356138 | − | 0.129623i | ||||
\(475\) | −6.27277 | −0.287814 | ||||||||
\(476\) | −5.48710 | + | 1.99714i | −0.251501 | + | 0.0915387i | ||||
\(477\) | 0.444425 | − | 2.52046i | 0.0203488 | − | 0.115404i | ||||
\(478\) | −10.3193 | − | 8.65895i | −0.471995 | − | 0.396051i | ||||
\(479\) | 0.539694 | − | 0.452857i | 0.0246592 | − | 0.0206916i | −0.630375 | − | 0.776291i | \(-0.717099\pi\) |
0.655034 | + | 0.755599i | \(0.272654\pi\) | |||||||
\(480\) | −2.56061 | −0.116876 | ||||||||
\(481\) | −2.53992 | − | 32.2284i | −0.115810 | − | 1.46949i | ||||
\(482\) | −28.5359 | −1.29977 | ||||||||
\(483\) | −0.505900 | + | 0.424501i | −0.0230193 | + | 0.0193155i | ||||
\(484\) | 12.1840 | + | 10.2236i | 0.553820 | + | 0.464710i | ||||
\(485\) | −0.635881 | + | 3.60626i | −0.0288739 | + | 0.163752i | ||||
\(486\) | 20.9099 | − | 7.61057i | 0.948491 | − | 0.345223i | ||||
\(487\) | 38.2000 | 1.73101 | 0.865503 | − | 0.500904i | \(-0.166999\pi\) | ||||
0.865503 | + | 0.500904i | \(0.166999\pi\) | |||||||
\(488\) | 7.90597 | − | 2.87754i | 0.357887 | − | 0.130260i | ||||
\(489\) | −14.4312 | − | 24.9956i | −0.652603 | − | 1.13034i | ||||
\(490\) | −0.951238 | − | 5.39474i | −0.0429726 | − | 0.243710i | ||||
\(491\) | −8.22378 | + | 14.2440i | −0.371134 | + | 0.642823i | −0.989740 | − | 0.142878i | \(-0.954364\pi\) |
0.618606 | + | 0.785701i | \(0.287698\pi\) | |||||||
\(492\) | 5.71854 | + | 9.90480i | 0.257812 | + | 0.446543i | ||||
\(493\) | −19.1251 | + | 16.0479i | −0.861353 | + | 0.722761i | ||||
\(494\) | 5.78911 | − | 32.8317i | 0.260465 | − | 1.47717i | ||||
\(495\) | −9.22445 | + | 15.9772i | −0.414608 | + | 0.718122i | ||||
\(496\) | −2.95717 | − | 1.07632i | −0.132781 | − | 0.0483283i | ||||
\(497\) | 9.46988 | + | 3.44675i | 0.424782 | + | 0.154608i | ||||
\(498\) | 1.70403 | + | 9.66406i | 0.0763596 | + | 0.433057i | ||||
\(499\) | −0.191593 | − | 0.160766i | −0.00857689 | − | 0.00719687i | 0.638489 | − | 0.769631i | \(-0.279560\pi\) |
−0.647066 | + | 0.762434i | \(0.724004\pi\) | |||||||
\(500\) | −0.766044 | − | 0.642788i | −0.0342585 | − | 0.0287463i | ||||
\(501\) | −6.81223 | − | 38.6341i | −0.304348 | − | 1.72604i | ||||
\(502\) | 27.6242 | + | 10.0544i | 1.23293 | + | 0.448750i | ||||
\(503\) | −19.6548 | − | 7.15377i | −0.876365 | − | 0.318971i | −0.135623 | − | 0.990760i | \(-0.543304\pi\) |
−0.740742 | + | 0.671790i | \(0.765526\pi\) | |||||||
\(504\) | −2.19399 | + | 3.80011i | −0.0977282 | + | 0.169270i | ||||
\(505\) | −2.68150 | + | 15.2075i | −0.119325 | + | 0.676727i | ||||
\(506\) | −0.830665 | + | 0.697011i | −0.0369276 | + | 0.0309859i | ||||
\(507\) | 19.5202 | + | 33.8100i | 0.866923 | + | 1.50156i | ||||
\(508\) | 3.20599 | − | 5.55294i | 0.142243 | − | 0.246372i | ||||
\(509\) | −2.31984 | − | 13.1565i | −0.102825 | − | 0.583150i | −0.992067 | − | 0.125712i | \(-0.959878\pi\) |
0.889242 | − | 0.457438i | \(-0.151233\pi\) | |||||||
\(510\) | −6.05980 | − | 10.4959i | −0.268332 | − | 0.464765i | ||||
\(511\) | 0.172220 | − | 0.0626830i | 0.00761857 | − | 0.00277293i | ||||
\(512\) | −1.00000 | −0.0441942 | ||||||||
\(513\) | −8.40322 | + | 3.05852i | −0.371011 | + | 0.135037i | ||||
\(514\) | 3.88008 | − | 22.0050i | 0.171143 | − | 0.970600i | ||||
\(515\) | −1.88611 | − | 1.58264i | −0.0831120 | − | 0.0697393i | ||||
\(516\) | 22.7576 | − | 19.0959i | 1.00185 | − | 0.840650i | ||||
\(517\) | 48.0982 | 2.11536 | ||||||||
\(518\) | −2.00467 | + | 7.23164i | −0.0880803 | + | 0.317740i | ||||
\(519\) | 34.4336 | 1.51147 | ||||||||
\(520\) | 4.07133 | − | 3.41625i | 0.178540 | − | 0.149813i | ||||
\(521\) | −7.60639 | − | 6.38252i | −0.333242 | − | 0.279623i | 0.460777 | − | 0.887516i | \(-0.347571\pi\) |
−0.794019 | + | 0.607893i | \(0.792015\pi\) | |||||||
\(522\) | −3.25784 | + | 18.4761i | −0.142592 | + | 0.808678i | ||||
\(523\) | 6.70570 | − | 2.44067i | 0.293220 | − | 0.106723i | −0.191222 | − | 0.981547i | \(-0.561245\pi\) |
0.484442 | + | 0.874824i | \(0.339023\pi\) | |||||||
\(524\) | −1.64659 | −0.0719317 | ||||||||
\(525\) | −2.96854 | + | 1.08046i | −0.129558 | + | 0.0471551i | ||||
\(526\) | 0.864097 | + | 1.49666i | 0.0376764 | + | 0.0652575i | ||||
\(527\) | −2.58645 | − | 14.6685i | −0.112668 | − | 0.638970i | ||||
\(528\) | −6.64097 | + | 11.5025i | −0.289011 | + | 0.500582i | ||||
\(529\) | 11.4781 | + | 19.8807i | 0.499050 | + | 0.864380i | ||||
\(530\) | 0.551225 | − | 0.462533i | 0.0239437 | − | 0.0200911i | ||||
\(531\) | −5.12446 | + | 29.0623i | −0.222383 | + | 1.26119i | ||||
\(532\) | −3.86939 | + | 6.70197i | −0.167759 | + | 0.290567i | ||||
\(533\) | −22.3069 | − | 8.11905i | −0.966219 | − | 0.351675i | ||||
\(534\) | 24.0782 | + | 8.76373i | 1.04196 | + | 0.379244i | ||||
\(535\) | −0.483855 | − | 2.74408i | −0.0209189 | − | 0.118637i | ||||
\(536\) | −9.72617 | − | 8.16122i | −0.420107 | − | 0.352511i | ||||
\(537\) | −35.2978 | − | 29.6184i | −1.52321 | − | 1.27813i | ||||
\(538\) | 2.59710 | + | 14.7289i | 0.111969 | + | 0.635008i | ||||
\(539\) | −26.7007 | − | 9.71826i | −1.15008 | − | 0.418595i | ||||
\(540\) | −1.33964 | − | 0.487587i | −0.0576487 | − | 0.0209824i | ||||
\(541\) | −0.0854817 | + | 0.148059i | −0.00367515 | + | 0.00636554i | −0.867857 | − | 0.496814i | \(-0.834503\pi\) |
0.864182 | + | 0.503179i | \(0.167837\pi\) | |||||||
\(542\) | −1.81202 | + | 10.2765i | −0.0778328 | + | 0.441412i | ||||
\(543\) | 0.614386 | − | 0.515531i | 0.0263658 | − | 0.0221236i | ||||
\(544\) | −2.36654 | − | 4.09897i | −0.101465 | − | 0.175742i | ||||
\(545\) | 10.0707 | − | 17.4430i | 0.431381 | − | 0.747174i | ||||
\(546\) | −2.91548 | − | 16.5345i | −0.124771 | − | 0.707610i | ||||
\(547\) | −15.1096 | − | 26.1705i | −0.646038 | − | 1.11897i | −0.984061 | − | 0.177832i | \(-0.943091\pi\) |
0.338023 | − | 0.941138i | \(-0.390242\pi\) | |||||||
\(548\) | 13.8282 | − | 5.03307i | 0.590713 | − | 0.215002i | ||||
\(549\) | 29.9242 | 1.27713 | ||||||||
\(550\) | −4.87420 | + | 1.77406i | −0.207837 | + | 0.0756463i | ||||
\(551\) | −5.74561 | + | 32.5850i | −0.244771 | + | 1.38817i | ||||
\(552\) | −0.410065 | − | 0.344085i | −0.0174535 | − | 0.0146452i | ||||
\(553\) | 3.04539 | − | 2.55539i | 0.129503 | − | 0.108666i | ||||
\(554\) | 3.00463 | 0.127654 | ||||||||
\(555\) | −15.5041 | − | 1.49119i | −0.658111 | − | 0.0632974i | ||||
\(556\) | −15.9752 | −0.677499 | ||||||||
\(557\) | −21.8629 | + | 18.3452i | −0.926363 | + | 0.777311i | −0.975161 | − | 0.221498i | \(-0.928905\pi\) |
0.0487981 | + | 0.998809i | \(0.484461\pi\) | |||||||
\(558\) | −8.57427 | − | 7.19467i | −0.362978 | − | 0.304574i | ||||
\(559\) | −10.7073 | + | 60.7243i | −0.452872 | + | 2.56836i | ||||
\(560\) | −1.15931 | + | 0.421953i | −0.0489897 | + | 0.0178308i | ||||
\(561\) | −62.8646 | −2.65414 | ||||||||
\(562\) | −3.33230 | + | 1.21286i | −0.140564 | + | 0.0511613i | ||||
\(563\) | 20.8304 | + | 36.0792i | 0.877895 | + | 1.52056i | 0.853646 | + | 0.520853i | \(0.174386\pi\) |
0.0242485 | + | 0.999706i | \(0.492281\pi\) | |||||||
\(564\) | 4.12311 | + | 23.3833i | 0.173614 | + | 0.984616i | ||||
\(565\) | 2.13141 | − | 3.69170i | 0.0896689 | − | 0.155311i | ||||
\(566\) | −6.91577 | − | 11.9785i | −0.290692 | − | 0.503493i | ||||
\(567\) | 6.63424 | − | 5.56679i | 0.278612 | − | 0.233783i | ||||
\(568\) | −1.41846 | + | 8.04447i | −0.0595172 | + | 0.337539i | ||||
\(569\) | −7.22157 | + | 12.5081i | −0.302744 | + | 0.524368i | −0.976756 | − | 0.214352i | \(-0.931236\pi\) |
0.674013 | + | 0.738720i | \(0.264569\pi\) | |||||||
\(570\) | −15.0935 | − | 5.49358i | −0.632196 | − | 0.230101i | ||||
\(571\) | 1.18862 | + | 0.432622i | 0.0497422 | + | 0.0181047i | 0.366771 | − | 0.930311i | \(-0.380463\pi\) |
−0.317029 | + | 0.948416i | \(0.602685\pi\) | |||||||
\(572\) | −4.78708 | − | 27.1489i | −0.200158 | − | 1.13515i | ||||
\(573\) | 26.1496 | + | 21.9421i | 1.09241 | + | 0.916644i | ||||
\(574\) | 4.22121 | + | 3.54202i | 0.176190 | + | 0.147841i | ||||
\(575\) | −0.0363015 | − | 0.205876i | −0.00151388 | − | 0.00858562i | ||||
\(576\) | −3.34225 | − | 1.21648i | −0.139260 | − | 0.0506866i | ||||
\(577\) | −29.1827 | − | 10.6216i | −1.21489 | − | 0.442185i | −0.346495 | − | 0.938052i | \(-0.612628\pi\) |
−0.868399 | + | 0.495867i | \(0.834850\pi\) | |||||||
\(578\) | 2.70104 | − | 4.67834i | 0.112348 | − | 0.194593i | ||||
\(579\) | 2.51769 | − | 14.2785i | 0.104632 | − | 0.593396i | ||||
\(580\) | −4.04074 | + | 3.39058i | −0.167782 | + | 0.140786i | ||||
\(581\) | 2.36399 | + | 4.09456i | 0.0980750 | + | 0.169871i | ||||
\(582\) | −4.68835 | + | 8.12045i | −0.194338 | + | 0.336604i | ||||
\(583\) | −0.648131 | − | 3.67573i | −0.0268428 | − | 0.152233i | ||||
\(584\) | 0.0742772 | + | 0.128652i | 0.00307361 | + | 0.00532365i | ||||
\(585\) | 17.7632 | − | 6.46527i | 0.734418 | − | 0.267306i | ||||
\(586\) | 21.4859 | 0.887574 | ||||||||
\(587\) | 21.1947 | − | 7.71425i | 0.874800 | − | 0.318401i | 0.134690 | − | 0.990888i | \(-0.456996\pi\) |
0.740109 | + | 0.672487i | \(0.234774\pi\) | |||||||
\(588\) | 2.43575 | − | 13.8139i | 0.100449 | − | 0.569674i | ||||
\(589\) | −15.1218 | − | 12.6887i | −0.623083 | − | 0.522829i | ||||
\(590\) | −6.35593 | + | 5.33326i | −0.261669 | + | 0.219567i | ||||
\(591\) | 31.7430 | 1.30573 | ||||||||
\(592\) | −6.05482 | − | 0.582356i | −0.248852 | − | 0.0239347i | ||||
\(593\) | 8.95667 | 0.367807 | 0.183903 | − | 0.982944i | \(-0.441127\pi\) | ||||
0.183903 | + | 0.982944i | \(0.441127\pi\) | |||||||
\(594\) | −5.66464 | + | 4.75320i | −0.232423 | + | 0.195026i | ||||
\(595\) | −4.47312 | − | 3.75339i | −0.183380 | − | 0.153874i | ||||
\(596\) | 2.28683 | − | 12.9693i | 0.0936724 | − | 0.531243i | ||||
\(597\) | 51.9726 | − | 18.9165i | 2.12710 | − | 0.774200i | ||||
\(598\) | 1.11106 | 0.0454345 | ||||||||
\(599\) | 36.5749 | − | 13.3122i | 1.49441 | − | 0.543921i | 0.539805 | − | 0.841790i | \(-0.318498\pi\) |
0.954607 | + | 0.297869i | \(0.0962757\pi\) | |||||||
\(600\) | −1.28031 | − | 2.21756i | −0.0522683 | − | 0.0905314i | ||||
\(601\) | −3.44190 | − | 19.5200i | −0.140398 | − | 0.796237i | −0.970948 | − | 0.239292i | \(-0.923085\pi\) |
0.830549 | − | 0.556945i | \(-0.188027\pi\) | |||||||
\(602\) | 7.15667 | − | 12.3957i | 0.291684 | − | 0.505212i | ||||
\(603\) | −22.5793 | − | 39.1085i | −0.919500 | − | 1.59262i | ||||
\(604\) | −5.51716 | + | 4.62945i | −0.224490 | + | 0.188370i | ||||
\(605\) | −2.76190 | + | 15.6635i | −0.112287 | + | 0.636812i | ||||
\(606\) | −19.7707 | + | 34.2438i | −0.803129 | + | 1.39106i | ||||
\(607\) | 4.73454 | + | 1.72323i | 0.192169 | + | 0.0699438i | 0.436312 | − | 0.899795i | \(-0.356284\pi\) |
−0.244143 | + | 0.969739i | \(0.578507\pi\) | |||||||
\(608\) | −5.89448 | − | 2.14541i | −0.239053 | − | 0.0870080i | ||||
\(609\) | 2.89357 | + | 16.4102i | 0.117253 | + | 0.664976i | ||||
\(610\) | 6.44501 | + | 5.40800i | 0.260951 | + | 0.218964i | ||||
\(611\) | −37.7526 | − | 31.6782i | −1.52731 | − | 1.28156i | ||||
\(612\) | −2.92326 | − | 16.5786i | −0.118166 | − | 0.670151i | ||||
\(613\) | 31.5968 | + | 11.5003i | 1.27618 | + | 0.464493i | 0.889168 | − | 0.457580i | \(-0.151284\pi\) |
0.387016 | + | 0.922073i | \(0.373506\pi\) | |||||||
\(614\) | 12.2984 | + | 4.47625i | 0.496323 | + | 0.180647i | ||||
\(615\) | −5.71854 | + | 9.90480i | −0.230594 | + | 0.399400i | ||||
\(616\) | −1.11122 | + | 6.30205i | −0.0447724 | + | 0.253917i | ||||
\(617\) | −2.44482 | + | 2.05145i | −0.0984248 | + | 0.0825882i | −0.690672 | − | 0.723168i | \(-0.742685\pi\) |
0.592247 | + | 0.805756i | \(0.298241\pi\) | |||||||
\(618\) | −3.15230 | − | 5.45994i | −0.126804 | − | 0.219631i | ||||
\(619\) | 3.73169 | − | 6.46348i | 0.149989 | − | 0.259789i | −0.781234 | − | 0.624238i | \(-0.785409\pi\) |
0.931223 | + | 0.364449i | \(0.118743\pi\) | |||||||
\(620\) | −0.546463 | − | 3.09914i | −0.0219465 | − | 0.124465i | ||||
\(621\) | −0.149013 | − | 0.258099i | −0.00597970 | − | 0.0103571i | ||||
\(622\) | −1.41780 | + | 0.516038i | −0.0568487 | + | 0.0206912i | ||||
\(623\) | 12.3454 | 0.494609 | ||||||||
\(624\) | 12.7883 | − | 4.65456i | 0.511941 | − | 0.186331i | ||||
\(625\) | 0.173648 | − | 0.984808i | 0.00694593 | − | 0.0393923i | ||||
\(626\) | −23.7577 | − | 19.9351i | −0.949549 | − | 0.796767i | ||||
\(627\) | −63.8227 | + | 53.5536i | −2.54883 | + | 2.13872i | ||||
\(628\) | −0.733390 | −0.0292655 | ||||||||
\(629\) | −11.9419 | − | 26.1967i | −0.476156 | − | 1.04453i | ||||
\(630\) | −4.38799 | −0.174822 | ||||||||
\(631\) | 34.1017 | − | 28.6147i | 1.35757 | − | 1.13913i | 0.380841 | − | 0.924640i | \(-0.375634\pi\) |
0.976725 | − | 0.214493i | \(-0.0688101\pi\) | |||||||
\(632\) | 2.46849 | + | 2.07131i | 0.0981912 | + | 0.0823922i | ||||
\(633\) | −0.263741 | + | 1.49575i | −0.0104828 | + | 0.0594507i | ||||
\(634\) | −4.88872 | + | 1.77935i | −0.194156 | + | 0.0706670i | ||||
\(635\) | 6.41198 | 0.254452 | ||||||||
\(636\) | 1.73143 | − | 0.630189i | 0.0686557 | − | 0.0249886i | ||||
\(637\) | 14.5570 | + | 25.2134i | 0.576769 | + | 0.998993i | ||||
\(638\) | 4.75110 | + | 26.9448i | 0.188098 | + | 1.06676i | ||||
\(639\) | −14.5268 | + | 25.1611i | −0.574670 | + | 0.995357i | ||||
\(640\) | −0.500000 | − | 0.866025i | −0.0197642 | − | 0.0342327i | ||||
\(641\) | −14.1068 | + | 11.8370i | −0.557185 | + | 0.467534i | −0.877365 | − | 0.479823i | \(-0.840701\pi\) |
0.320180 | + | 0.947357i | \(0.396256\pi\) | |||||||
\(642\) | 1.23897 | − | 7.02653i | 0.0488981 | − | 0.277315i | ||||
\(643\) | 20.6846 | − | 35.8269i | 0.815723 | − | 1.41287i | −0.0930847 | − | 0.995658i | \(-0.529673\pi\) |
0.908808 | − | 0.417215i | \(-0.136994\pi\) | |||||||
\(644\) | −0.242355 | − | 0.0882102i | −0.00955014 | − | 0.00347597i | ||||
\(645\) | 27.9163 | + | 10.1607i | 1.09920 | + | 0.400078i | ||||
\(646\) | −5.15554 | − | 29.2385i | −0.202842 | − | 1.15037i | ||||
\(647\) | 28.2040 | + | 23.6660i | 1.10881 | + | 0.930405i | 0.997986 | − | 0.0634343i | \(-0.0202053\pi\) |
0.110828 | + | 0.993840i | \(0.464650\pi\) | |||||||
\(648\) | 5.37748 | + | 4.51224i | 0.211247 | + | 0.177258i | ||||
\(649\) | 7.47331 | + | 42.3832i | 0.293353 | + | 1.66369i | ||||
\(650\) | 4.99423 | + | 1.81775i | 0.195890 | + | 0.0712980i | ||||
\(651\) | −9.34185 | − | 3.40016i | −0.366136 | − | 0.133263i | ||||
\(652\) | 5.63585 | − | 9.76157i | 0.220717 | − | 0.382293i | ||||
\(653\) | −5.41184 | + | 30.6921i | −0.211782 | + | 1.20107i | 0.674623 | + | 0.738163i | \(0.264306\pi\) |
−0.886404 | + | 0.462912i | \(0.846805\pi\) | |||||||
\(654\) | 39.5082 | − | 33.1513i | 1.54489 | − | 1.29632i | ||||
\(655\) | −0.823296 | − | 1.42599i | −0.0321688 | − | 0.0557181i | ||||
\(656\) | −2.23327 | + | 3.86813i | −0.0871945 | + | 0.151025i | ||||
\(657\) | 0.0917505 | + | 0.520343i | 0.00357953 | + | 0.0203005i | ||||
\(658\) | 5.71997 | + | 9.90727i | 0.222988 | + | 0.386226i | ||||
\(659\) | 31.8800 | − | 11.6034i | 1.24187 | − | 0.452003i | 0.364222 | − | 0.931312i | \(-0.381335\pi\) |
0.877646 | + | 0.479309i | \(0.159113\pi\) | |||||||
\(660\) | −13.2819 | −0.516999 | ||||||||
\(661\) | −32.3769 | + | 11.7842i | −1.25931 | + | 0.458353i | −0.883539 | − | 0.468358i | \(-0.844846\pi\) |
−0.375775 | + | 0.926711i | \(0.622624\pi\) | |||||||
\(662\) | 1.73603 | − | 9.84549i | 0.0674726 | − | 0.382656i | ||||
\(663\) | 49.3429 | + | 41.4036i | 1.91632 | + | 1.60798i | ||||
\(664\) | −2.93574 | + | 2.46338i | −0.113929 | + | 0.0955977i | ||||
\(665\) | −7.73877 | −0.300097 | ||||||||
\(666\) | −19.5283 | − | 9.31194i | −0.756706 | − | 0.360830i | ||||
\(667\) | −1.10271 | −0.0426971 | ||||||||
\(668\) | 11.7362 | − | 9.84787i | 0.454089 | − | 0.381026i | ||||
\(669\) | −31.1658 | − | 26.1512i | −1.20494 | − | 1.01106i | ||||
\(670\) | 2.20474 | − | 12.5037i | 0.0851767 | − | 0.483061i | ||||
\(671\) | 41.0084 | − | 14.9258i | 1.58311 | − | 0.576206i | ||||
\(672\) | −3.15905 | −0.121863 | ||||||||
\(673\) | 8.42098 | − | 3.06498i | 0.324605 | − | 0.118146i | −0.174578 | − | 0.984643i | \(-0.555856\pi\) |
0.499182 | + | 0.866497i | \(0.333634\pi\) | |||||||
\(674\) | 11.9538 | + | 20.7046i | 0.460444 | + | 0.797512i | ||||
\(675\) | −0.247555 | − | 1.40395i | −0.00952838 | − | 0.0540381i | ||||
\(676\) | −7.62326 | + | 13.2039i | −0.293202 | + | 0.507841i | ||||
\(677\) | 14.5075 | + | 25.1277i | 0.557568 | + | 0.965737i | 0.997699 | + | 0.0678028i | \(0.0215989\pi\) |
−0.440130 | + | 0.897934i | \(0.645068\pi\) | |||||||
\(678\) | 8.36170 | − | 7.01630i | 0.321129 | − | 0.269459i | ||||
\(679\) | −0.784492 | + | 4.44907i | −0.0301060 | + | 0.170740i | ||||
\(680\) | 2.36654 | − | 4.09897i | 0.0907527 | − | 0.157188i | ||||
\(681\) | −0.467182 | − | 0.170040i | −0.0179025 | − | 0.00651597i | ||||
\(682\) | −15.3389 | − | 5.58290i | −0.587356 | − | 0.213780i | ||||
\(683\) | 0.703610 | + | 3.99037i | 0.0269229 | + | 0.152687i | 0.995306 | − | 0.0967819i | \(-0.0308549\pi\) |
−0.968383 | + | 0.249469i | \(0.919744\pi\) | |||||||
\(684\) | −17.0909 | − | 14.3410i | −0.653489 | − | 0.548342i | ||||
\(685\) | 11.2729 | + | 9.45908i | 0.430715 | + | 0.361413i | ||||
\(686\) | −2.67317 | − | 15.1603i | −0.102062 | − | 0.578823i | ||||
\(687\) | 67.5544 | + | 24.5878i | 2.57736 | + | 0.938082i | ||||
\(688\) | 10.9022 | + | 3.96808i | 0.415643 | + | 0.151282i | ||||
\(689\) | −1.91217 | + | 3.31198i | −0.0728480 | + | 0.126176i | ||||
\(690\) | 0.0929541 | − | 0.527169i | 0.00353870 | − | 0.0200690i | ||||
\(691\) | −8.61951 | + | 7.23263i | −0.327902 | + | 0.275142i | −0.791844 | − | 0.610723i | \(-0.790879\pi\) |
0.463942 | + | 0.885865i | \(0.346434\pi\) | |||||||
\(692\) | 6.72370 | + | 11.6458i | 0.255597 | + | 0.442706i | ||||
\(693\) | −11.3803 | + | 19.7112i | −0.432301 | + | 0.748767i | ||||
\(694\) | −1.37774 | − | 7.81356i | −0.0522983 | − | 0.296599i | ||||
\(695\) | −7.98760 | − | 13.8349i | −0.302987 | − | 0.524789i | ||||
\(696\) | −12.6922 | + | 4.61958i | −0.481096 | + | 0.175105i | ||||
\(697\) | −21.1405 | −0.800753 | ||||||||
\(698\) | −14.4718 | + | 5.26731i | −0.547766 | + | 0.199370i | ||||
\(699\) | 4.72739 | − | 26.8104i | 0.178806 | − | 1.01406i | ||||
\(700\) | −0.945076 | − | 0.793013i | −0.0357205 | − | 0.0299731i | ||||
\(701\) | 11.8712 | − | 9.96111i | 0.448369 | − | 0.376226i | −0.390461 | − | 0.920619i | \(-0.627685\pi\) |
0.838830 | + | 0.544393i | \(0.183240\pi\) | |||||||
\(702\) | 7.57675 | 0.285966 | ||||||||
\(703\) | −34.4406 | − | 16.4228i | −1.29895 | − | 0.619397i | ||||
\(704\) | −5.18702 | −0.195493 | ||||||||
\(705\) | −18.1890 | + | 15.2624i | −0.685038 | + | 0.574815i | ||||
\(706\) | −6.45775 | − | 5.41870i | −0.243041 | − | 0.203935i | ||||
\(707\) | −3.30819 | + | 18.7617i | −0.124417 | + | 0.705606i | ||||
\(708\) | −19.9643 | + | 7.26643i | −0.750306 | + | 0.273089i | ||||
\(709\) | −13.1354 | −0.493311 | −0.246656 | − | 0.969103i | \(-0.579332\pi\) | ||||
−0.246656 | + | 0.969103i | \(0.579332\pi\) | |||||||
\(710\) | −7.67595 | + | 2.79382i | −0.288073 | + | 0.104850i | ||||
\(711\) | 5.73060 | + | 9.92568i | 0.214914 | + | 0.372242i | ||||
\(712\) | 1.73765 | + | 9.85473i | 0.0651214 | + | 0.369322i | ||||
\(713\) | 0.328939 | − | 0.569738i | 0.0123188 | − | 0.0213369i | ||||
\(714\) | −7.47603 | − | 12.9489i | −0.279783 | − | 0.484599i | ||||
\(715\) | 21.1181 | − | 17.7202i | 0.789771 | − | 0.662696i | ||||
\(716\) | 3.12479 | − | 17.7215i | 0.116779 | − | 0.662285i | ||||
\(717\) | 17.2469 | − | 29.8726i | 0.644098 | − | 1.11561i | ||||
\(718\) | 11.2553 | + | 4.09660i | 0.420045 | + | 0.152884i | ||||
\(719\) | −33.9503 | − | 12.3569i | −1.26613 | − | 0.460834i | −0.380309 | − | 0.924859i | \(-0.624182\pi\) |
−0.885822 | + | 0.464026i | \(0.846405\pi\) | |||||||
\(720\) | −0.617622 | − | 3.50271i | −0.0230174 | − | 0.130538i | ||||
\(721\) | −2.32691 | − | 1.95251i | −0.0866587 | − | 0.0727153i | ||||
\(722\) | −15.5872 | − | 13.0792i | −0.580096 | − | 0.486758i | ||||
\(723\) | −12.6884 | − | 71.9592i | −0.471885 | − | 2.67619i | ||||
\(724\) | 0.294326 | + | 0.107126i | 0.0109386 | + | 0.00398131i | ||||
\(725\) | −4.95670 | − | 1.80409i | −0.184087 | − | 0.0670022i | ||||
\(726\) | −20.3635 | + | 35.2705i | −0.755759 | + | 1.30901i | ||||
\(727\) | 2.17248 | − | 12.3207i | 0.0805728 | − | 0.456951i | −0.917652 | − | 0.397386i | \(-0.869917\pi\) |
0.998224 | − | 0.0595652i | \(-0.0189714\pi\) | |||||||
\(728\) | 5.02284 | − | 4.21466i | 0.186159 | − | 0.156206i | ||||
\(729\) | 17.9595 | + | 31.1067i | 0.665166 | + | 1.15210i | ||||
\(730\) | −0.0742772 | + | 0.128652i | −0.00274912 | + | 0.00476162i | ||||
\(731\) | 9.53549 | + | 54.0784i | 0.352683 | + | 2.00016i | ||||
\(732\) | 10.7717 | + | 18.6571i | 0.398133 | + | 0.689587i | ||||
\(733\) | −4.10097 | + | 1.49263i | −0.151473 | + | 0.0551316i | −0.416644 | − | 0.909070i | \(-0.636794\pi\) |
0.265171 | + | 0.964201i | \(0.414572\pi\) | |||||||
\(734\) | −35.6795 | −1.31695 | ||||||||
\(735\) | 13.1810 | − | 4.79750i | 0.486189 | − | 0.176958i | ||||
\(736\) | 0.0363015 | − | 0.205876i | 0.00133809 | − | 0.00758869i | ||||
\(737\) | −50.4498 | − | 42.3324i | −1.85834 | − | 1.55933i | ||||
\(738\) | −12.1696 | + | 10.2115i | −0.447971 | + | 0.375892i | ||||
\(739\) | −46.2494 | −1.70131 | −0.850655 | − | 0.525724i | \(-0.823794\pi\) | ||||
−0.850655 | + | 0.525724i | \(0.823794\pi\) | |||||||
\(740\) | −2.52308 | − | 5.53481i | −0.0927501 | − | 0.203464i | ||||
\(741\) | 85.3662 | 3.13601 | ||||||||
\(742\) | 0.680051 | − | 0.570631i | 0.0249655 | − | 0.0209485i | ||||
\(743\) | −3.63320 | − | 3.04862i | −0.133289 | − | 0.111843i | 0.573706 | − | 0.819061i | \(-0.305505\pi\) |
−0.706995 | + | 0.707218i | \(0.749950\pi\) | |||||||
\(744\) | 1.39928 | − | 7.93571i | 0.0513001 | − | 0.290937i | ||||
\(745\) | 12.3751 | − | 4.50418i | 0.453390 | − | 0.165021i | ||||
\(746\) | −6.20569 | −0.227207 | ||||||||
\(747\) | −12.8086 | + | 4.66196i | −0.468643 | + | 0.170572i | ||||
\(748\) | −12.2753 | − | 21.2614i | −0.448829 | − | 0.777395i | ||||
\(749\) | −0.596936 | − | 3.38539i | −0.0218116 | − | 0.123700i | ||||
\(750\) | 1.28031 | − | 2.21756i | 0.0467502 | − | 0.0809737i | ||||
\(751\) | −3.83809 | − | 6.64777i | −0.140054 | − | 0.242581i | 0.787463 | − | 0.616362i | \(-0.211394\pi\) |
−0.927517 | + | 0.373782i | \(0.878061\pi\) | |||||||
\(752\) | −7.10338 | + | 5.96044i | −0.259034 | + | 0.217355i | ||||
\(753\) | −13.0713 | + | 74.1310i | −0.476345 | + | 2.70148i | ||||
\(754\) | 14.0171 | − | 24.2784i | 0.510474 | − | 0.884166i | ||||
\(755\) | −6.76780 | − | 2.46328i | −0.246306 | − | 0.0896479i | ||||
\(756\) | −1.65272 | − | 0.601541i | −0.0601088 | − | 0.0218778i | ||||
\(757\) | 0.290832 | + | 1.64939i | 0.0105705 | + | 0.0599481i | 0.989637 | − | 0.143594i | \(-0.0458658\pi\) |
−0.979066 | + | 0.203542i | \(0.934755\pi\) | |||||||
\(758\) | −11.1006 | − | 9.31454i | −0.403193 | − | 0.338319i | ||||
\(759\) | −2.12701 | − | 1.78478i | −0.0772057 | − | 0.0647832i | ||||
\(760\) | −1.08926 | − | 6.17747i | −0.0395114 | − | 0.224081i | ||||
\(761\) | 36.7864 | + | 13.3892i | 1.33351 | + | 0.485357i | 0.907761 | − | 0.419487i | \(-0.137790\pi\) |
0.425745 | + | 0.904843i | \(0.360012\pi\) | |||||||
\(762\) | 15.4285 | + | 5.61550i | 0.558914 | + | 0.203428i | ||||
\(763\) | 12.4243 | − | 21.5195i | 0.449790 | − | 0.779059i | ||||
\(764\) | −2.31492 | + | 13.1286i | −0.0837510 | + | 0.474976i | ||||
\(765\) | 12.8959 | − | 10.8209i | 0.466251 | − | 0.391231i | ||||
\(766\) | −10.5242 | − | 18.2285i | −0.380256 | − | 0.658623i | ||||
\(767\) | 22.0484 | − | 38.1890i | 0.796122 | − | 1.37892i | ||||
\(768\) | −0.444646 | − | 2.52171i | −0.0160448 | − | 0.0909945i | ||||
\(769\) | 4.54244 | + | 7.86774i | 0.163805 | + | 0.283718i | 0.936230 | − | 0.351387i | \(-0.114290\pi\) |
−0.772426 | + | 0.635105i | \(0.780957\pi\) | |||||||
\(770\) | −6.01334 | + | 2.18868i | −0.216706 | + | 0.0788745i | ||||
\(771\) | 57.2156 | 2.06057 | ||||||||
\(772\) | 5.32076 | − | 1.93660i | 0.191498 | − | 0.0696997i | ||||
\(773\) | 0.491724 | − | 2.78870i | 0.0176861 | − | 0.100303i | −0.974687 | − | 0.223574i | \(-0.928227\pi\) |
0.992373 | + | 0.123272i | \(0.0393386\pi\) | |||||||
\(774\) | 31.6108 | + | 26.5246i | 1.13623 | + | 0.953407i | ||||
\(775\) | 2.41071 | − | 2.02282i | 0.0865951 | − | 0.0726619i | ||||
\(776\) | −3.66189 | −0.131454 | ||||||||
\(777\) | −19.1275 | − | 1.83969i | −0.686195 | − | 0.0659986i | ||||
\(778\) | −25.8914 | −0.928252 | ||||||||
\(779\) | −21.4627 | + | 18.0093i | −0.768981 | + | 0.645252i | ||||
\(780\) | 10.4251 | + | 8.74770i | 0.373279 | + | 0.313218i | ||||
\(781\) | −7.35756 | + | 41.7268i | −0.263274 | + | 1.49310i | ||||
\(782\) | 0.929789 | − | 0.338415i | 0.0332492 | − | 0.0121017i | ||||
\(783\) | −7.51982 | −0.268736 | ||||||||
\(784\) | 5.14760 | − | 1.87357i | 0.183843 | − | 0.0669134i | ||||
\(785\) | −0.366695 | − | 0.635135i | −0.0130879 | − | 0.0226689i | ||||
\(786\) | −0.732151 | − | 4.15223i | −0.0261149 | − | 0.148105i | ||||
\(787\) | 22.9098 | − | 39.6809i | 0.816646 | − | 1.41447i | −0.0914941 | − | 0.995806i | \(-0.529164\pi\) |
0.908140 | − | 0.418667i | \(-0.137502\pi\) | |||||||
\(788\) | 6.19832 | + | 10.7358i | 0.220806 | + | 0.382447i | ||||
\(789\) | −3.38993 | + | 2.84449i | −0.120685 | + | 0.101267i | ||||
\(790\) | −0.559561 | + | 3.17343i | −0.0199083 | + | 0.112905i | ||||
\(791\) | 2.62953 | − | 4.55449i | 0.0934955 | − | 0.161939i | ||||
\(792\) | −17.3363 | − | 6.30989i | −0.616018 | − | 0.224212i | ||||
\(793\) | −42.0182 | − | 15.2934i | −1.49211 | − | 0.543084i | ||||
\(794\) | 6.42612 | + | 36.4444i | 0.228055 | + | 1.29336i | ||||
\(795\) | 1.41147 | + | 1.18437i | 0.0500599 | + | 0.0420052i | ||||
\(796\) | 16.5462 | + | 13.8839i | 0.586465 | + | 0.492102i | ||||
\(797\) | −2.33609 | − | 13.2486i | −0.0827485 | − | 0.469290i | −0.997820 | − | 0.0659980i | \(-0.978977\pi\) |
0.915071 | − | 0.403292i | \(-0.132134\pi\) | |||||||
\(798\) | −18.6210 | − | 6.77747i | −0.659175 | − | 0.239920i | ||||
\(799\) | −41.2421 | − | 15.0109i | −1.45904 | − | 0.531048i | ||||
\(800\) | 0.500000 | − | 0.866025i | 0.0176777 | − | 0.0306186i | ||||
\(801\) | −6.18040 | + | 35.0508i | −0.218374 | + | 1.23846i | ||||
\(802\) | −11.0351 | + | 9.25958i | −0.389664 | + | 0.326967i | ||||
\(803\) | 0.385277 | + | 0.667320i | 0.0135961 | + | 0.0235492i | ||||
\(804\) | 16.2556 | − | 28.1555i | 0.573289 | − | 0.992967i | ||||
\(805\) | −0.0447855 | − | 0.253991i | −0.00157848 | − | 0.00895201i | ||||
\(806\) | 8.36263 | + | 14.4845i | 0.294561 | + | 0.510195i | ||||
\(807\) | −35.9873 | + | 13.0983i | −1.26681 | + | 0.461082i | ||||
\(808\) | −15.4421 | −0.543253 | ||||||||
\(809\) | 23.5189 | − | 8.56020i | 0.826882 | − | 0.300961i | 0.106304 | − | 0.994334i | \(-0.466098\pi\) |
0.720579 | + | 0.693373i | \(0.243876\pi\) | |||||||
\(810\) | −1.21898 | + | 6.91315i | −0.0428304 | + | 0.242903i | ||||
\(811\) | 42.5977 | + | 35.7437i | 1.49581 | + | 1.25513i | 0.886961 | + | 0.461845i | \(0.152812\pi\) |
0.608848 | + | 0.793287i | \(0.291632\pi\) | |||||||
\(812\) | −4.98509 | + | 4.18299i | −0.174942 | + | 0.146794i | ||||
\(813\) | −26.7200 | −0.937111 | ||||||||
\(814\) | −31.4065 | − | 3.02069i | −1.10080 | − | 0.105875i | ||||
\(815\) | 11.2717 | 0.394830 | ||||||||
\(816\) | 9.28415 | − | 7.79033i | 0.325010 | − | 0.272716i | ||||
\(817\) | 55.7496 | + | 46.7795i | 1.95043 | + | 1.63661i | ||||
\(818\) | −5.85825 | + | 33.2238i | −0.204829 | + | 1.16164i | ||||
\(819\) | 21.9146 | − | 7.97626i | 0.765758 | − | 0.278713i | ||||
\(820\) | −4.46654 | −0.155978 | ||||||||
\(821\) | −37.0045 | + | 13.4685i | −1.29147 | + | 0.470055i | −0.894208 | − | 0.447652i | \(-0.852260\pi\) |
−0.397258 | + | 0.917707i | \(0.630038\pi\) | |||||||
\(822\) | 18.8406 | + | 32.6329i | 0.657143 | + | 1.13820i | ||||
\(823\) | −6.02623 | − | 34.1765i | −0.210061 | − | 1.19132i | −0.889274 | − | 0.457375i | \(-0.848790\pi\) |
0.679213 | − | 0.733941i | \(-0.262321\pi\) | |||||||
\(824\) | 1.23107 | − | 2.13228i | 0.0428864 | − | 0.0742815i | ||||
\(825\) | −6.64097 | − | 11.5025i | −0.231209 | − | 0.400466i | ||||
\(826\) | −7.84136 | + | 6.57969i | −0.272836 | + | 0.228937i | ||||
\(827\) | −1.74495 | + | 9.89608i | −0.0606777 | + | 0.344120i | 0.939322 | + | 0.343038i | \(0.111456\pi\) |
−0.999999 | + | 0.00108292i | \(0.999655\pi\) | |||||||
\(828\) | 0.371772 | − | 0.643929i | 0.0129200 | − | 0.0223781i | ||||
\(829\) | 36.3909 | + | 13.2452i | 1.26391 | + | 0.460025i | 0.885079 | − | 0.465441i | \(-0.154104\pi\) |
0.378830 | + | 0.925466i | \(0.376327\pi\) | |||||||
\(830\) | −3.60122 | − | 1.31074i | −0.125000 | − | 0.0454963i | ||||
\(831\) | 1.33599 | + | 7.57680i | 0.0463451 | + | 0.262836i | ||||
\(832\) | 4.07133 | + | 3.41625i | 0.141148 | + | 0.118437i | ||||
\(833\) | 19.8617 | + | 16.6660i | 0.688168 | + | 0.577442i | ||||
\(834\) | −7.10331 | − | 40.2848i | −0.245967 | − | 1.39495i | ||||
\(835\) | 14.3966 | + | 5.23994i | 0.498216 | + | 0.181336i | ||||
\(836\) | −30.5747 | − | 11.1283i | −1.05745 | − | 0.384880i | ||||
\(837\) | 2.24316 | − | 3.88527i | 0.0775351 | − | 0.134295i | ||||
\(838\) | 6.84796 | − | 38.8367i | 0.236559 | − | 1.34159i | ||||
\(839\) | −13.9997 | + | 11.7471i | −0.483322 | + | 0.405556i | −0.851626 | − | 0.524150i | \(-0.824383\pi\) |
0.368304 | + | 0.929706i | \(0.379939\pi\) | |||||||
\(840\) | −1.57953 | − | 2.73582i | −0.0544988 | − | 0.0943947i | ||||
\(841\) | 0.588198 | − | 1.01879i | 0.0202827 | − | 0.0351307i | ||||
\(842\) | 0.356152 | + | 2.01984i | 0.0122738 | + | 0.0696083i | ||||
\(843\) | −4.54017 | − | 7.86380i | −0.156372 | − | 0.270844i | ||||
\(844\) | −0.557377 | + | 0.202868i | −0.0191857 | + | 0.00698302i | ||||
\(845\) | −15.2465 | −0.524496 | ||||||||
\(846\) | −30.9920 | + | 11.2802i | −1.06553 | + | 0.387820i | ||||
\(847\) | −3.40738 | + | 19.3242i | −0.117079 | + | 0.663987i | ||||
\(848\) | 0.551225 | + | 0.462533i | 0.0189291 | + | 0.0158834i | ||||
\(849\) | 27.1312 | − | 22.7658i | 0.931140 | − | 0.781319i | ||||
\(850\) | 4.73308 | 0.162343 | ||||||||
\(851\) | 0.339692 | − | 1.22540i | 0.0116445 | − | 0.0420062i | ||||
\(852\) | −20.9166 | −0.716590 | ||||||||
\(853\) | −8.50644 | + | 7.13775i | −0.291255 | + | 0.244392i | −0.776693 | − | 0.629879i | \(-0.783104\pi\) |
0.485438 | + | 0.874271i | \(0.338660\pi\) | |||||||
\(854\) | 7.95126 | + | 6.67190i | 0.272087 | + | 0.228308i | ||||
\(855\) | 3.87420 | − | 21.9717i | 0.132495 | − | 0.751416i | ||||
\(856\) | 2.61837 | − | 0.953009i | 0.0894941 | − | 0.0325732i | ||||
\(857\) | −45.3422 | −1.54886 | −0.774430 | − | 0.632660i | \(-0.781963\pi\) | ||||
−0.774430 | + | 0.632660i | \(0.781963\pi\) | |||||||
\(858\) | 66.3331 | − | 24.1433i | 2.26457 | − | 0.824237i | ||||
\(859\) | −14.8977 | − | 25.8036i | −0.508304 | − | 0.880409i | −0.999954 | − | 0.00961583i | \(-0.996939\pi\) |
0.491649 | − | 0.870793i | \(-0.336394\pi\) | |||||||
\(860\) | 2.01465 | + | 11.4256i | 0.0686988 | + | 0.389610i | ||||
\(861\) | −7.05501 | + | 12.2196i | −0.240434 | + | 0.416444i | ||||
\(862\) | 6.76953 | + | 11.7252i | 0.230571 | + | 0.399361i | ||||
\(863\) | −30.4195 | + | 25.5250i | −1.03549 | + | 0.868879i | −0.991494 | − | 0.130152i | \(-0.958453\pi\) |
−0.0439961 | + | 0.999032i | \(0.514009\pi\) | |||||||
\(864\) | 0.247555 | − | 1.40395i | 0.00842198 | − | 0.0477634i | ||||
\(865\) | −6.72370 | + | 11.6458i | −0.228613 | + | 0.395969i | ||||
\(866\) | 25.4510 | + | 9.26340i | 0.864860 | + | 0.314783i | ||||
\(867\) | 12.9984 | + | 4.73104i | 0.441450 | + | 0.160675i | ||||
\(868\) | −0.674176 | − | 3.82344i | −0.0228830 | − | 0.129776i | ||||
\(869\) | 12.8041 | + | 10.7439i | 0.434349 | + | 0.364462i | ||||
\(870\) | −10.3468 | − | 8.68197i | −0.350788 | − | 0.294346i | ||||
\(871\) | 11.7176 | + | 66.4541i | 0.397037 | + | 2.25171i | ||||
\(872\) | 18.9267 | + | 6.88876i | 0.640939 | + | 0.233283i | ||||
\(873\) | −12.2389 | − | 4.45461i | −0.414226 | − | 0.150766i | ||||
\(874\) | 0.655668 | − | 1.13565i | 0.0221783 | − | 0.0384139i | ||||
\(875\) | 0.214231 | − | 1.21497i | 0.00724234 | − | 0.0410733i | ||||
\(876\) | −0.291396 | + | 0.244510i | −0.00984536 | + | 0.00826124i | ||||
\(877\) | 18.9319 | + | 32.7909i | 0.639284 | + | 1.10727i | 0.985590 | + | 0.169150i | \(0.0541023\pi\) |
−0.346307 | + | 0.938121i | \(0.612564\pi\) | |||||||
\(878\) | 11.2008 | − | 19.4004i | 0.378009 | − | 0.654730i | ||||
\(879\) | 9.55362 | + | 54.1813i | 0.322236 | + | 1.82749i | ||||
\(880\) | −2.59351 | − | 4.49209i | −0.0874271 | − | 0.151428i | ||||
\(881\) | −14.7854 | + | 5.38146i | −0.498134 | + | 0.181306i | −0.578854 | − | 0.815431i | \(-0.696500\pi\) |
0.0807207 | + | 0.996737i | \(0.474278\pi\) | |||||||
\(882\) | 19.4837 | 0.656051 | ||||||||
\(883\) | −40.2869 | + | 14.6632i | −1.35576 | + | 0.493457i | −0.914741 | − | 0.404040i | \(-0.867605\pi\) |
−0.441020 | + | 0.897497i | \(0.645383\pi\) | |||||||
\(884\) | −4.36814 | + | 24.7730i | −0.146917 | + | 0.833205i | ||||
\(885\) | −16.2751 | − | 13.6564i | −0.547081 | − | 0.459055i | ||||
\(886\) | −6.80198 | + | 5.70754i | −0.228517 | + | 0.191749i | ||||
\(887\) | −16.8325 | −0.565181 | −0.282590 | − | 0.959241i | \(-0.591194\pi\) | ||||
−0.282590 | + | 0.959241i | \(0.591194\pi\) | |||||||
\(888\) | −1.22372 | − | 15.5275i | −0.0410653 | − | 0.521068i | ||||
\(889\) | 7.91052 | 0.265310 | ||||||||
\(890\) | −7.66562 | + | 6.43222i | −0.256952 | + | 0.215608i | ||||
\(891\) | 27.8931 | + | 23.4051i | 0.934453 | + | 0.784099i | ||||
\(892\) | 2.75899 | − | 15.6470i | 0.0923779 | − | 0.523901i | ||||
\(893\) | −54.6583 | + | 19.8940i | −1.82907 | + | 0.665727i | ||||
\(894\) | 33.7216 | 1.12782 | ||||||||
\(895\) | 16.9097 | − | 6.15463i | 0.565229 | − | 0.205726i | ||||
\(896\) | −0.616854 | − | 1.06842i | −0.0206077 | − | 0.0356935i | ||||
\(897\) | 0.494028 | + | 2.80177i | 0.0164951 | + | 0.0935484i | ||||
\(898\) | −1.01881 | + | 1.76464i | −0.0339983 | + | 0.0588867i | ||||
\(899\) | −8.29979 | − | 14.3757i | −0.276813 | − | 0.479455i | ||||
\(900\) | 2.72463 | − | 2.28623i | 0.0908208 | − | 0.0762077i | ||||
\(901\) | −0.591411 | + | 3.35406i | −0.0197028 | + | 0.111740i | ||||
\(902\) | −11.5840 | + | 20.0641i | −0.385705 | + | 0.668061i | ||||
\(903\) | 34.4406 | + | 12.5354i | 1.14611 | + | 0.417151i | ||||
\(904\) | 4.00573 | + | 1.45797i | 0.133229 | + | 0.0484913i | ||||
\(905\) | 0.0543893 | + | 0.308457i | 0.00180796 | + | 0.0102535i | ||||
\(906\) | −14.1273 | − | 11.8542i | −0.469349 | − | 0.393831i | ||||
\(907\) | −25.6138 | − | 21.4925i | −0.850493 | − | 0.713648i | 0.109406 | − | 0.993997i | \(-0.465105\pi\) |
−0.959898 | + | 0.280349i | \(0.909550\pi\) | |||||||
\(908\) | −0.0337153 | − | 0.191209i | −0.00111888 | − | 0.00634549i | ||||
\(909\) | −51.6115 | − | 18.7850i | −1.71184 | − | 0.623061i | ||||
\(910\) | 6.16142 | + | 2.24257i | 0.204249 | + | 0.0743406i | ||||
\(911\) | −12.0817 | + | 20.9260i | −0.400283 | + | 0.693311i | −0.993760 | − | 0.111540i | \(-0.964422\pi\) |
0.593477 | + | 0.804851i | \(0.297755\pi\) | |||||||
\(912\) | 2.78916 | − | 15.8181i | 0.0923584 | − | 0.523790i | ||||
\(913\) | −15.2277 | + | 12.7776i | −0.503965 | + | 0.422877i | ||||
\(914\) | 7.57981 | + | 13.1286i | 0.250718 | + | 0.434256i | ||||
\(915\) | −10.7717 | + | 18.6571i | −0.356101 | + | 0.616785i | ||||
\(916\) | 4.87521 | + | 27.6487i | 0.161082 | + | 0.913539i | ||||
\(917\) | −1.01571 | − | 1.75926i | −0.0335416 | − | 0.0580958i | ||||
\(918\) | 6.34061 | − | 2.30779i | 0.209271 | − | 0.0761685i | ||||
\(919\) | −34.5483 | −1.13964 | −0.569822 | − | 0.821768i | \(-0.692988\pi\) | ||||
−0.569822 | + | 0.821768i | \(0.692988\pi\) | |||||||
\(920\) | 0.196445 | − | 0.0715000i | 0.00647659 | − | 0.00235729i | ||||
\(921\) | −5.81939 | + | 33.0034i | −0.191755 | + | 1.08750i | ||||
\(922\) | −12.0771 | − | 10.1339i | −0.397740 | − | 0.333743i | ||||
\(923\) | 33.2570 | − | 27.9059i | 1.09467 | − | 0.918534i | ||||
\(924\) | −16.3861 | −0.539062 | ||||||||
\(925\) | 3.53175 | − | 4.95245i | 0.116123 | − | 0.162836i | ||||
\(926\) | 30.2378 | 0.993675 | ||||||||
\(927\) | 6.70842 | − | 5.62903i | 0.220333 | − | 0.184882i | ||||
\(928\) | −4.04074 | − | 3.39058i | −0.132644 | − | 0.111301i | ||||
\(929\) | 2.28817 | − | 12.9768i | 0.0750723 | − | 0.425756i | −0.923988 | − | 0.382421i | \(-0.875090\pi\) |
0.999061 | − | 0.0433355i | \(-0.0137984\pi\) | |||||||
\(930\) | 7.57217 | − | 2.75604i | 0.248301 | − | 0.0903743i | ||||
\(931\) | 34.3620 | 1.12617 | ||||||||
\(932\) | 9.99063 | − | 3.63629i | 0.327254 | − | 0.119111i | ||||
\(933\) | −1.93172 | − | 3.34584i | −0.0632417 | − | 0.109538i | ||||
\(934\) | 4.42944 | + | 25.1206i | 0.144936 | + | 0.821971i | ||||
\(935\) | 12.2753 | − | 21.2614i | 0.401445 | − | 0.695323i | ||||
\(936\) | 9.45160 | + | 16.3706i | 0.308935 | + | 0.535091i | ||||
\(937\) | 40.3012 | − | 33.8168i | 1.31658 | − | 1.10475i | 0.329567 | − | 0.944132i | \(-0.393097\pi\) |
0.987017 | − | 0.160613i | \(-0.0513471\pi\) | |||||||
\(938\) | 2.72001 | − | 15.4259i | 0.0888115 | − | 0.503675i | ||||
\(939\) | 39.7068 | − | 68.7742i | 1.29578 | − | 2.24436i | ||||
\(940\) | −8.71358 | − | 3.17149i | −0.284206 | − | 0.103442i | ||||
\(941\) | 10.9998 | + | 4.00360i | 0.358584 | + | 0.130514i | 0.515029 | − | 0.857173i | \(-0.327781\pi\) |
−0.156445 | + | 0.987687i | \(0.550003\pi\) | |||||||
\(942\) | −0.326099 | − | 1.84940i | −0.0106249 | − | 0.0602567i | ||||
\(943\) | −0.715285 | − | 0.600196i | −0.0232929 | − | 0.0195451i | ||||
\(944\) | −6.35593 | − | 5.33326i | −0.206868 | − | 0.173583i | ||||
\(945\) | −0.305410 | − | 1.73207i | −0.00993499 | − | 0.0563442i | ||||
\(946\) | 56.5499 | + | 20.5825i | 1.83860 | + | 0.669194i | ||||
\(947\) | −30.1448 | − | 10.9718i | −0.979573 | − | 0.356535i | −0.197899 | − | 0.980222i | \(-0.563412\pi\) |
−0.781674 | + | 0.623687i | \(0.785634\pi\) | |||||||
\(948\) | −4.12564 | + | 7.14581i | −0.133994 | + | 0.232085i | ||||
\(949\) | 0.137100 | − | 0.777534i | 0.00445046 | − | 0.0252398i | ||||
\(950\) | 4.80522 | − | 4.03206i | 0.155902 | − | 0.130817i | ||||
\(951\) | −6.66076 | − | 11.5368i | −0.215990 | − | 0.374105i | ||||
\(952\) | 2.91962 | − | 5.05693i | 0.0946255 | − | 0.163896i | ||||
\(953\) | −1.93939 | − | 10.9989i | −0.0628232 | − | 0.356288i | −0.999973 | − | 0.00736044i | \(-0.997657\pi\) |
0.937150 | − | 0.348927i | \(-0.113454\pi\) | |||||||
\(954\) | 1.27967 | + | 2.21645i | 0.0414308 | + | 0.0717603i | ||||
\(955\) | −12.5272 | + | 4.55951i | −0.405369 | + | 0.147542i | ||||
\(956\) | 13.4709 | 0.435681 | ||||||||
\(957\) | −65.8346 | + | 23.9618i | −2.12813 | + | 0.774576i | ||||
\(958\) | −0.122339 | + | 0.693817i | −0.00395258 | + | 0.0224162i | ||||
\(959\) | 13.9075 | + | 11.6697i | 0.449095 | + | 0.376836i | ||||
\(960\) | 1.96154 | − | 1.64593i | 0.0633086 | − | 0.0531222i | ||||
\(961\) | −21.0967 | −0.680538 | ||||||||
\(962\) | 22.6617 | + | 23.0558i | 0.730643 | + | 0.743347i | ||||
\(963\) | 9.91056 | 0.319363 | ||||||||
\(964\) | 21.8597 | − | 18.3425i | 0.704055 | − | 0.590772i | ||||
\(965\) | 4.33752 | + | 3.63962i | 0.139630 | + | 0.117163i | ||||
\(966\) | 0.114678 | − | 0.650373i | 0.00368971 | − | 0.0209254i | ||||
\(967\) | −15.6131 | + | 5.68271i | −0.502084 | + | 0.182744i | −0.580631 | − | 0.814167i | \(-0.697194\pi\) |
0.0785470 | + | 0.996910i | \(0.474972\pi\) | |||||||
\(968\) | −15.9051 | −0.511210 | ||||||||
\(969\) | 71.4387 | − | 26.0016i | 2.29494 | − | 0.835290i | ||||
\(970\) | −1.83095 | − | 3.17129i | −0.0587881 | − | 0.101824i | ||||
\(971\) | 2.77993 | + | 15.7658i | 0.0892122 | + | 0.505948i | 0.996368 | + | 0.0851526i | \(0.0271378\pi\) |
−0.907156 | + | 0.420795i | \(0.861751\pi\) | |||||||
\(972\) | −11.1259 | + | 19.2706i | −0.356864 | + | 0.618106i | ||||
\(973\) | −9.85436 | − | 17.0683i | −0.315916 | − | 0.547183i | ||||
\(974\) | −29.2629 | + | 24.5545i | −0.937643 | + | 0.786776i | ||||
\(975\) | −2.36318 | + | 13.4023i | −0.0756823 | + | 0.429216i | ||||
\(976\) | −4.20668 | + | 7.28618i | −0.134653 | + | 0.233225i | ||||
\(977\) | −46.8808 | − | 17.0632i | −1.49985 | − | 0.545900i | −0.543827 | − | 0.839197i | \(-0.683025\pi\) |
−0.956021 | + | 0.293297i | \(0.905247\pi\) | |||||||
\(978\) | 27.1218 | + | 9.87154i | 0.867261 | + | 0.315657i | ||||
\(979\) | 9.01324 | + | 51.1166i | 0.288065 | + | 1.63369i | ||||
\(980\) | 4.19636 | + | 3.52117i | 0.134048 | + | 0.112480i | ||||
\(981\) | 54.8777 | + | 46.0479i | 1.75211 | + | 1.47020i | ||||
\(982\) | −2.85609 | − | 16.1977i | −0.0911415 | − | 0.516889i | ||||
\(983\) | −13.4957 | − | 4.91202i | −0.430444 | − | 0.156669i | 0.117706 | − | 0.993048i | \(-0.462446\pi\) |
−0.548151 | + | 0.836379i | \(0.684668\pi\) | |||||||
\(984\) | −10.7473 | − | 3.91171i | −0.342613 | − | 0.124701i | ||||
\(985\) | −6.19832 | + | 10.7358i | −0.197495 | + | 0.342071i | ||||
\(986\) | 4.33532 | − | 24.5868i | 0.138065 | − | 0.783004i | ||||
\(987\) | −22.4399 | + | 18.8293i | −0.714271 | + | 0.599345i | ||||
\(988\) | 16.6691 | + | 28.8717i | 0.530314 | + | 0.918531i | ||||
\(989\) | −1.21270 | + | 2.10046i | −0.0385616 | + | 0.0667906i | ||||
\(990\) | −3.20362 | − | 18.1686i | −0.101818 | − | 0.577437i | ||||
\(991\) | −15.2243 | − | 26.3692i | −0.483615 | − | 0.837646i | 0.516208 | − | 0.856464i | \(-0.327343\pi\) |
−0.999823 | + | 0.0188171i | \(0.994010\pi\) | |||||||
\(992\) | 2.95717 | − | 1.07632i | 0.0938902 | − | 0.0341732i | ||||
\(993\) | 25.5994 | 0.812373 | ||||||||
\(994\) | −9.46988 | + | 3.44675i | −0.300366 | + | 0.109324i | ||||
\(995\) | −3.75072 | + | 21.2714i | −0.118906 | + | 0.674349i | ||||
\(996\) | −7.51730 | − | 6.30776i | −0.238195 | − | 0.199869i | ||||
\(997\) | −37.5042 | + | 31.4698i | −1.18777 | + | 0.996658i | −0.187875 | + | 0.982193i | \(0.560160\pi\) |
−0.999895 | + | 0.0144648i | \(0.995396\pi\) | |||||||
\(998\) | 0.250107 | 0.00791701 | ||||||||
\(999\) | 2.31650 | − | 8.35651i | 0.0732908 | − | 0.264388i |
(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 | 370.2.o.b.271.1 | yes | 18 | |
37.34 | even | 9 | inner | 370.2.o.b.71.1 | ✓ | 18 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
370.2.o.b.71.1 | ✓ | 18 | 37.34 | even | 9 | inner | |
370.2.o.b.271.1 | yes | 18 | 1.1 | even | 1 | trivial |