Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [864,2,Mod(13,864)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(864, base_ring=CyclotomicField(72))
chi = DirichletCharacter(H, H._module([0, 63, 32]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("864.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 864 = 2^{5} \cdot 3^{3} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 864.bu (of order \(72\), degree \(24\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(6.89907473464\) |
Analytic rank: | \(0\) |
Dimension: | \(3408\) |
Relative dimension: | \(142\) over \(\Q(\zeta_{72})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{72}]$ |
Embedding invariants
Embedding label | 13.6 | ||
Character | \(\chi\) | \(=\) | 864.13 |
Dual form | 864.2.bu.a.133.6 |
$q$-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 \(\left(\mathbb{Z}/864\mathbb{Z}\right)^\times\).
\(n\) | \(325\) | \(353\) | \(703\) |
\(\chi(n)\) | \(e\left(\frac{7}{8}\right)\) | \(e\left(\frac{4}{9}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.40602 | + | 0.152001i | −0.994207 | + | 0.107481i | ||||
\(3\) | −0.406383 | − | 1.68370i | −0.234625 | − | 0.972086i | ||||
\(4\) | 1.95379 | − | 0.427432i | 0.976896 | − | 0.213716i | ||||
\(5\) | 2.49034 | + | 0.785202i | 1.11371 | + | 0.351153i | 0.800982 | − | 0.598688i | \(-0.204311\pi\) |
0.312733 | + | 0.949841i | \(0.398756\pi\) | |||||||
\(6\) | 0.827306 | + | 2.30555i | 0.337746 | + | 0.941237i | ||||
\(7\) | −1.45250 | + | 0.677311i | −0.548993 | + | 0.256000i | −0.677265 | − | 0.735740i | \(-0.736835\pi\) |
0.128272 | + | 0.991739i | \(0.459057\pi\) | |||||||
\(8\) | −2.68210 | + | 0.897956i | −0.948267 | + | 0.317475i | ||||
\(9\) | −2.66971 | + | 1.36845i | −0.889902 | + | 0.456151i | ||||
\(10\) | −3.62082 | − | 0.725477i | −1.14501 | − | 0.229416i | ||||
\(11\) | 0.290377 | + | 0.151161i | 0.0875519 | + | 0.0455766i | 0.504962 | − | 0.863142i | \(-0.331507\pi\) |
−0.417410 | + | 0.908718i | \(0.637062\pi\) | |||||||
\(12\) | −1.51366 | − | 3.11590i | −0.436955 | − | 0.899484i | ||||
\(13\) | 0.219810 | − | 0.345033i | 0.0609644 | − | 0.0956950i | −0.811551 | − | 0.584282i | \(-0.801376\pi\) |
0.872515 | + | 0.488587i | \(0.162487\pi\) | |||||||
\(14\) | 1.93929 | − | 1.17309i | 0.518298 | − | 0.313523i | ||||
\(15\) | 0.310015 | − | 4.51209i | 0.0800454 | − | 1.16502i | ||||
\(16\) | 3.63460 | − | 1.67023i | 0.908651 | − | 0.417557i | ||||
\(17\) | 5.92910 | + | 3.42317i | 1.43802 | + | 0.830240i | 0.997712 | − | 0.0676080i | \(-0.0215367\pi\) |
0.440306 | + | 0.897848i | \(0.354870\pi\) | |||||||
\(18\) | 3.54566 | − | 2.32987i | 0.835720 | − | 0.549156i | ||||
\(19\) | 0.443392 | + | 3.36789i | 0.101721 | + | 0.772648i | 0.963941 | + | 0.266114i | \(0.0857399\pi\) |
−0.862220 | + | 0.506533i | \(0.830927\pi\) | |||||||
\(20\) | 5.20123 | + | 0.469669i | 1.16303 | + | 0.105021i | ||||
\(21\) | 1.73066 | + | 2.17033i | 0.377661 | + | 0.473604i | ||||
\(22\) | −0.431253 | − | 0.168398i | −0.0919433 | − | 0.0359025i | ||||
\(23\) | −0.0888879 | − | 0.0414491i | −0.0185344 | − | 0.00864274i | 0.413329 | − | 0.910582i | \(-0.364366\pi\) |
−0.431863 | + | 0.901939i | \(0.642144\pi\) | |||||||
\(24\) | 2.60185 | + | 4.15095i | 0.531100 | + | 0.847309i | ||||
\(25\) | 1.48950 | + | 1.04296i | 0.297900 | + | 0.208592i | ||||
\(26\) | −0.256613 | + | 0.518535i | −0.0503259 | + | 0.101693i | ||||
\(27\) | 3.38899 | + | 3.93887i | 0.652212 | + | 0.758037i | ||||
\(28\) | −2.54837 | + | 1.94417i | −0.481598 | + | 0.367413i | ||||
\(29\) | 4.21899 | + | 0.935327i | 0.783446 | + | 0.173686i | 0.589977 | − | 0.807420i | \(-0.299137\pi\) |
0.193470 | + | 0.981106i | \(0.438026\pi\) | |||||||
\(30\) | 0.249953 | + | 6.39121i | 0.0456349 | + | 1.16687i | ||||
\(31\) | 0.133305 | − | 0.0485189i | 0.0239422 | − | 0.00871425i | −0.330021 | − | 0.943973i | \(-0.607056\pi\) |
0.353963 | + | 0.935259i | \(0.384834\pi\) | |||||||
\(32\) | −4.85645 | + | 2.90084i | −0.858508 | + | 0.512800i | ||||
\(33\) | 0.136505 | − | 0.550337i | 0.0237625 | − | 0.0958014i | ||||
\(34\) | −8.85676 | − | 3.91182i | −1.51892 | − | 0.670871i | ||||
\(35\) | −4.14904 | + | 0.546232i | −0.701316 | + | 0.0923300i | ||||
\(36\) | −4.63113 | + | 3.81479i | −0.771855 | + | 0.635799i | ||||
\(37\) | −0.755966 | + | 5.74213i | −0.124280 | + | 0.944001i | 0.809742 | + | 0.586786i | \(0.199607\pi\) |
−0.934022 | + | 0.357215i | \(0.883726\pi\) | |||||||
\(38\) | −1.13534 | − | 4.66793i | −0.184176 | − | 0.757239i | ||||
\(39\) | −0.670260 | − | 0.229880i | −0.107328 | − | 0.0368102i | ||||
\(40\) | −7.38443 | + | 0.130226i | −1.16758 | + | 0.0205905i | ||||
\(41\) | 8.72539 | − | 6.10958i | 1.36268 | − | 0.954157i | 0.362926 | − | 0.931818i | \(-0.381778\pi\) |
0.999750 | − | 0.0223389i | \(-0.00711128\pi\) | |||||||
\(42\) | −2.76324 | − | 2.78847i | −0.426377 | − | 0.430270i | ||||
\(43\) | −3.79218 | − | 1.97408i | −0.578302 | − | 0.301045i | 0.147375 | − | 0.989081i | \(-0.452918\pi\) |
−0.725677 | + | 0.688036i | \(0.758473\pi\) | |||||||
\(44\) | 0.631947 | + | 0.171220i | 0.0952696 | + | 0.0258124i | ||||
\(45\) | −7.72299 | + | 1.31166i | −1.15128 | + | 0.195531i | ||||
\(46\) | 0.131279 | + | 0.0447673i | 0.0193560 | + | 0.00660058i | ||||
\(47\) | 1.85241 | − | 5.08945i | 0.270202 | − | 0.742373i | −0.728174 | − | 0.685393i | \(-0.759631\pi\) |
0.998375 | − | 0.0569802i | \(-0.0181472\pi\) | |||||||
\(48\) | −4.28920 | − | 5.44084i | −0.619093 | − | 0.785318i | ||||
\(49\) | −2.84851 | + | 3.39472i | −0.406930 | + | 0.484961i | ||||
\(50\) | −2.25280 | − | 1.24002i | −0.318594 | − | 0.175365i | ||||
\(51\) | 3.35411 | − | 11.3740i | 0.469670 | − | 1.59267i | ||||
\(52\) | 0.281985 | − | 0.768077i | 0.0391044 | − | 0.106513i | ||||
\(53\) | 3.70734 | + | 8.95032i | 0.509243 | + | 1.22942i | 0.944320 | + | 0.329028i | \(0.106721\pi\) |
−0.435077 | + | 0.900393i | \(0.643279\pi\) | |||||||
\(54\) | −5.36371 | − | 5.02301i | −0.729908 | − | 0.683545i | ||||
\(55\) | 0.604446 | + | 0.604446i | 0.0815035 | + | 0.0815035i | ||||
\(56\) | 3.28755 | − | 3.12090i | 0.439318 | − | 0.417048i | ||||
\(57\) | 5.49034 | − | 2.11519i | 0.727214 | − | 0.280164i | ||||
\(58\) | −6.07416 | − | 0.673801i | −0.797576 | − | 0.0884744i | ||||
\(59\) | 6.08293 | + | 1.91794i | 0.791929 | + | 0.249694i | 0.669529 | − | 0.742786i | \(-0.266496\pi\) |
0.122401 | + | 0.992481i | \(0.460941\pi\) | |||||||
\(60\) | −1.32291 | − | 8.94819i | −0.170787 | − | 1.15521i | ||||
\(61\) | 1.01998 | − | 1.11311i | 0.130595 | − | 0.142519i | −0.668528 | − | 0.743687i | \(-0.733075\pi\) |
0.799123 | + | 0.601168i | \(0.205298\pi\) | |||||||
\(62\) | −0.180054 | + | 0.0884810i | −0.0228669 | + | 0.0112371i | ||||
\(63\) | 2.95087 | − | 3.79590i | 0.371775 | − | 0.478238i | ||||
\(64\) | 6.38735 | − | 4.81682i | 0.798419 | − | 0.602103i | ||||
\(65\) | 0.818324 | − | 0.686655i | 0.101501 | − | 0.0851691i | ||||
\(66\) | −0.108278 | + | 0.794535i | −0.0133281 | + | 0.0978005i | ||||
\(67\) | −8.92114 | − | 5.68339i | −1.08989 | − | 0.694337i | −0.134866 | − | 0.990864i | \(-0.543060\pi\) |
−0.955025 | + | 0.296527i | \(0.904172\pi\) | |||||||
\(68\) | 13.0474 | + | 4.15387i | 1.58223 | + | 0.503730i | ||||
\(69\) | −0.0336655 | + | 0.166505i | −0.00405285 | + | 0.0200448i | ||||
\(70\) | 5.75062 | − | 1.39867i | 0.687330 | − | 0.167173i | ||||
\(71\) | 3.05820 | + | 11.4134i | 0.362942 | + | 1.35452i | 0.870189 | + | 0.492717i | \(0.163996\pi\) |
−0.507247 | + | 0.861800i | \(0.669337\pi\) | |||||||
\(72\) | 5.93161 | − | 6.06761i | 0.699048 | − | 0.715075i | ||||
\(73\) | −0.672816 | + | 2.51098i | −0.0787471 | + | 0.293888i | −0.994057 | − | 0.108862i | \(-0.965279\pi\) |
0.915310 | + | 0.402751i | \(0.131946\pi\) | |||||||
\(74\) | 0.190097 | − | 8.18847i | 0.0220983 | − | 0.951890i | ||||
\(75\) | 1.15073 | − | 2.93172i | 0.132874 | − | 0.338525i | ||||
\(76\) | 2.30584 | + | 6.39064i | 0.264498 | + | 0.733057i | ||||
\(77\) | −0.524155 | − | 0.0228851i | −0.0597330 | − | 0.00260800i | ||||
\(78\) | 0.977342 | + | 0.221336i | 0.110662 | + | 0.0250614i | ||||
\(79\) | 14.3943 | − | 2.53810i | 1.61948 | − | 0.285558i | 0.710909 | − | 0.703284i | \(-0.248284\pi\) |
0.908573 | + | 0.417726i | \(0.137173\pi\) | |||||||
\(80\) | 10.3629 | − | 1.30554i | 1.15860 | − | 0.145964i | ||||
\(81\) | 5.25467 | − | 7.30674i | 0.583852 | − | 0.811860i | ||||
\(82\) | −11.3394 | + | 9.91647i | −1.25223 | + | 1.09509i | ||||
\(83\) | 2.32419 | − | 10.4838i | 0.255113 | − | 1.15074i | −0.661178 | − | 0.750229i | \(-0.729943\pi\) |
0.916291 | − | 0.400512i | \(-0.131168\pi\) | |||||||
\(84\) | 4.30902 | + | 3.50063i | 0.470152 | + | 0.381950i | ||||
\(85\) | 12.0776 | + | 13.1804i | 1.31000 | + | 1.42961i | ||||
\(86\) | 5.63195 | + | 2.19919i | 0.607309 | + | 0.237145i | ||||
\(87\) | −0.139711 | − | 7.48362i | −0.0149786 | − | 0.802328i | ||||
\(88\) | −0.914556 | − | 0.144683i | −0.0974920 | − | 0.0154232i | ||||
\(89\) | 1.94094 | + | 0.520073i | 0.205739 | + | 0.0551277i | 0.360217 | − | 0.932869i | \(-0.382703\pi\) |
−0.154477 | + | 0.987996i | \(0.549369\pi\) | |||||||
\(90\) | 10.6593 | − | 3.01812i | 1.12359 | − | 0.318138i | ||||
\(91\) | −0.0855794 | + | 0.650040i | −0.00897116 | + | 0.0681427i | ||||
\(92\) | −0.191385 | − | 0.0429894i | −0.0199533 | − | 0.00448195i | ||||
\(93\) | −0.135864 | − | 0.204728i | −0.0140884 | − | 0.0212293i | ||||
\(94\) | −1.83093 | + | 7.43744i | −0.188846 | + | 0.767114i | ||||
\(95\) | −1.54028 | + | 8.73536i | −0.158029 | + | 0.896229i | ||||
\(96\) | 6.85772 | + | 6.99797i | 0.699913 | + | 0.714228i | ||||
\(97\) | 6.33507 | − | 5.31575i | 0.643229 | − | 0.539733i | −0.261779 | − | 0.965128i | \(-0.584309\pi\) |
0.905008 | + | 0.425395i | \(0.139865\pi\) | |||||||
\(98\) | 3.48907 | − | 5.20603i | 0.352449 | − | 0.525888i | ||||
\(99\) | −0.982077 | − | 0.00618700i | −0.0987025 | − | 0.000621817i | ||||
\(100\) | 3.35597 | + | 1.40106i | 0.335597 | + | 0.140106i | ||||
\(101\) | 6.33808 | − | 0.276727i | 0.630662 | − | 0.0275353i | 0.273942 | − | 0.961746i | \(-0.411673\pi\) |
0.356721 | + | 0.934211i | \(0.383895\pi\) | |||||||
\(102\) | −2.98710 | + | 16.5018i | −0.295767 | + | 1.63393i | ||||
\(103\) | −10.4452 | + | 0.913840i | −1.02920 | + | 0.0900433i | −0.589227 | − | 0.807968i | \(-0.700568\pi\) |
−0.439973 | + | 0.898011i | \(0.645012\pi\) | |||||||
\(104\) | −0.279729 | + | 1.12279i | −0.0274297 | + | 0.110099i | ||||
\(105\) | 2.60579 | + | 6.76377i | 0.254299 | + | 0.660077i | ||||
\(106\) | −6.57306 | − | 12.0208i | −0.638432 | − | 1.16757i | ||||
\(107\) | 0.0989056 | + | 0.238779i | 0.00956156 | + | 0.0230837i | 0.928588 | − | 0.371112i | \(-0.121023\pi\) |
−0.919027 | + | 0.394195i | \(0.871023\pi\) | |||||||
\(108\) | 8.30499 | + | 6.24718i | 0.799148 | + | 0.601135i | ||||
\(109\) | 4.39882 | + | 1.82205i | 0.421330 | + | 0.174521i | 0.583267 | − | 0.812280i | \(-0.301774\pi\) |
−0.161937 | + | 0.986801i | \(0.551774\pi\) | |||||||
\(110\) | −0.941740 | − | 0.757988i | −0.0897914 | − | 0.0722713i | ||||
\(111\) | 9.97525 | − | 1.06068i | 0.946809 | − | 0.100675i | ||||
\(112\) | −4.14799 | + | 4.88776i | −0.391948 | + | 0.461850i | ||||
\(113\) | −2.13210 | + | 2.54093i | −0.200571 | + | 0.239031i | −0.856949 | − | 0.515401i | \(-0.827643\pi\) |
0.656378 | + | 0.754432i | \(0.272087\pi\) | |||||||
\(114\) | −7.39803 | + | 3.80854i | −0.692889 | + | 0.356703i | ||||
\(115\) | −0.188815 | − | 0.173017i | −0.0176071 | − | 0.0161340i | ||||
\(116\) | 8.64281 | + | 0.0241034i | 0.802465 | + | 0.00223795i | ||||
\(117\) | −0.114667 | + | 1.22194i | −0.0106010 | + | 0.112968i | ||||
\(118\) | −8.84425 | − | 1.77205i | −0.814179 | − | 0.163131i | ||||
\(119\) | −10.9306 | − | 0.956300i | −1.00200 | − | 0.0876639i | ||||
\(120\) | 3.22016 | + | 12.3803i | 0.293959 | + | 1.13016i | ||||
\(121\) | −6.24787 | − | 8.92289i | −0.567988 | − | 0.811171i | ||||
\(122\) | −1.26492 | + | 1.72009i | −0.114520 | + | 0.155730i | ||||
\(123\) | −13.8326 | − | 12.2081i | −1.24724 | − | 1.10077i | ||||
\(124\) | 0.239711 | − | 0.151774i | 0.0215267 | − | 0.0136297i | ||||
\(125\) | −5.05755 | − | 6.59112i | −0.452361 | − | 0.589528i | ||||
\(126\) | −3.57201 | + | 5.78565i | −0.318220 | + | 0.515427i | ||||
\(127\) | −0.574267 | − | 0.994660i | −0.0509580 | − | 0.0882618i | 0.839421 | − | 0.543481i | \(-0.182894\pi\) |
−0.890379 | + | 0.455219i | \(0.849561\pi\) | |||||||
\(128\) | −8.24859 | + | 7.74343i | −0.729079 | + | 0.684429i | ||||
\(129\) | −1.78269 | + | 7.18714i | −0.156957 | + | 0.632792i | ||||
\(130\) | −1.04621 | + | 1.08984i | −0.0917586 | + | 0.0955851i | ||||
\(131\) | 0.445189 | − | 10.1965i | 0.0388963 | − | 0.890872i | −0.874802 | − | 0.484480i | \(-0.839009\pi\) |
0.913699 | − | 0.406392i | \(-0.133213\pi\) | |||||||
\(132\) | 0.0314713 | − | 1.13359i | 0.00273923 | − | 0.0986664i | ||||
\(133\) | −2.92514 | − | 4.59155i | −0.253642 | − | 0.398137i | ||||
\(134\) | 13.4072 | + | 6.63495i | 1.15821 | + | 0.573173i | ||||
\(135\) | 5.34694 | + | 12.4702i | 0.460191 | + | 1.07326i | ||||
\(136\) | −18.9763 | − | 3.85721i | −1.62720 | − | 0.330753i | ||||
\(137\) | 2.63563 | − | 3.76408i | 0.225177 | − | 0.321587i | −0.690627 | − | 0.723211i | \(-0.742665\pi\) |
0.915804 | + | 0.401624i | \(0.131554\pi\) | |||||||
\(138\) | 0.0220255 | − | 0.239227i | 0.00187494 | − | 0.0203643i | ||||
\(139\) | 1.64341 | + | 1.79346i | 0.139392 | + | 0.152120i | 0.803040 | − | 0.595926i | \(-0.203215\pi\) |
−0.663648 | + | 0.748045i | \(0.730993\pi\) | |||||||
\(140\) | −7.87289 | + | 2.84066i | −0.665381 | + | 0.240079i | ||||
\(141\) | −9.32191 | − | 1.05064i | −0.785046 | − | 0.0884799i | ||||
\(142\) | −6.03474 | − | 15.5826i | −0.506424 | − | 1.30766i | ||||
\(143\) | 0.115983 | − | 0.0669630i | 0.00969901 | − | 0.00559973i | ||||
\(144\) | −7.41770 | + | 9.43280i | −0.618141 | + | 0.786067i | ||||
\(145\) | 9.77230 | + | 5.64204i | 0.811546 | + | 0.468546i | ||||
\(146\) | 0.564323 | − | 3.63276i | 0.0467037 | − | 0.300650i | ||||
\(147\) | 6.87329 | + | 3.41649i | 0.566899 | + | 0.281787i | ||||
\(148\) | 0.977371 | + | 11.5421i | 0.0803394 | + | 0.948751i | ||||
\(149\) | 8.27779 | − | 1.83514i | 0.678143 | − | 0.150341i | 0.136105 | − | 0.990694i | \(-0.456542\pi\) |
0.542038 | + | 0.840354i | \(0.317653\pi\) | |||||||
\(150\) | −1.17232 | + | 4.29697i | −0.0957198 | + | 0.350846i | ||||
\(151\) | 0.500013 | + | 0.0437455i | 0.0406905 | + | 0.00355996i | 0.107483 | − | 0.994207i | \(-0.465721\pi\) |
−0.0667923 | + | 0.997767i | \(0.521276\pi\) | |||||||
\(152\) | −4.21344 | − | 8.63489i | −0.341755 | − | 0.700382i | ||||
\(153\) | −20.5134 | − | 1.02515i | −1.65841 | − | 0.0828784i | ||||
\(154\) | 0.740451 | − | 0.0474949i | 0.0596673 | − | 0.00382725i | ||||
\(155\) | 0.370071 | − | 0.0161577i | 0.0297248 | − | 0.00129781i | ||||
\(156\) | −1.40781 | − | 0.162646i | −0.112715 | − | 0.0130221i | ||||
\(157\) | 0.852048 | − | 0.443548i | 0.0680009 | − | 0.0353990i | −0.427409 | − | 0.904058i | \(-0.640574\pi\) |
0.495410 | + | 0.868659i | \(0.335018\pi\) | |||||||
\(158\) | −19.8529 | + | 5.75656i | −1.57941 | + | 0.457967i | ||||
\(159\) | 13.5631 | − | 9.87932i | 1.07562 | − | 0.783481i | ||||
\(160\) | −14.3720 | + | 3.41078i | −1.13620 | + | 0.269646i | ||||
\(161\) | 0.157184 | 0.0123878 | ||||||||
\(162\) | −6.27754 | + | 11.0721i | −0.493210 | + | 0.869910i | ||||
\(163\) | −1.31141 | + | 3.16603i | −0.102718 | + | 0.247983i | −0.966880 | − | 0.255230i | \(-0.917849\pi\) |
0.864163 | + | 0.503213i | \(0.167849\pi\) | |||||||
\(164\) | 14.4362 | − | 15.6664i | 1.12727 | − | 1.22334i | ||||
\(165\) | 0.772071 | − | 1.26334i | 0.0601056 | − | 0.0983511i | ||||
\(166\) | −1.67433 | + | 15.0937i | −0.129953 | + | 1.17150i | ||||
\(167\) | 14.9500 | − | 1.30796i | 1.15687 | − | 0.101213i | 0.507474 | − | 0.861667i | \(-0.330579\pi\) |
0.649392 | + | 0.760454i | \(0.275024\pi\) | |||||||
\(168\) | −6.59067 | − | 4.26698i | −0.508481 | − | 0.329205i | ||||
\(169\) | 5.42331 | + | 11.6303i | 0.417177 | + | 0.894640i | ||||
\(170\) | −18.9848 | − | 16.6961i | −1.45607 | − | 1.28053i | ||||
\(171\) | −5.79253 | − | 8.38453i | −0.442966 | − | 0.641181i | ||||
\(172\) | −8.25292 | − | 2.23605i | −0.629279 | − | 0.170497i | ||||
\(173\) | −22.1801 | + | 6.99335i | −1.68632 | + | 0.531695i | −0.983692 | − | 0.179862i | \(-0.942435\pi\) |
−0.702629 | + | 0.711557i | \(0.747990\pi\) | |||||||
\(174\) | 1.33395 | + | 10.5009i | 0.101127 | + | 0.796071i | ||||
\(175\) | −2.86990 | − | 0.506042i | −0.216944 | − | 0.0382532i | ||||
\(176\) | 1.30788 | + | 0.0644138i | 0.0985850 | + | 0.00485537i | ||||
\(177\) | 0.757244 | − | 11.0213i | 0.0569179 | − | 0.828408i | ||||
\(178\) | −2.80806 | − | 0.436210i | −0.210473 | − | 0.0326953i | ||||
\(179\) | −16.7947 | + | 12.8871i | −1.25530 | + | 0.963224i | −0.999993 | − | 0.00363629i | \(-0.998843\pi\) |
−0.255305 | + | 0.966861i | \(0.582176\pi\) | |||||||
\(180\) | −14.5285 | + | 5.86377i | −1.08289 | + | 0.437059i | ||||
\(181\) | 11.7910 | − | 15.3663i | 0.876419 | − | 1.14217i | −0.112491 | − | 0.993653i | \(-0.535883\pi\) |
0.988910 | − | 0.148518i | \(-0.0474504\pi\) | |||||||
\(182\) | 0.0215200 | − | 0.926979i | 0.00159517 | − | 0.0687122i | ||||
\(183\) | −2.28864 | − | 1.26499i | −0.169181 | − | 0.0935106i | ||||
\(184\) | 0.275626 | + | 0.0313533i | 0.0203194 | + | 0.00231140i | ||||
\(185\) | −6.39135 | + | 13.7063i | −0.469901 | + | 1.00771i | ||||
\(186\) | 0.222146 | + | 0.267200i | 0.0162886 | + | 0.0195921i | ||||
\(187\) | 1.20423 | + | 1.89025i | 0.0880617 | + | 0.138229i | ||||
\(188\) | 1.44383 | − | 10.7355i | 0.105302 | − | 0.782967i | ||||
\(189\) | −7.59035 | − | 3.42581i | −0.552117 | − | 0.249191i | ||||
\(190\) | 0.837886 | − | 12.5162i | 0.0607866 | − | 0.908022i | ||||
\(191\) | 4.69155 | + | 26.6071i | 0.339468 | + | 1.92522i | 0.377646 | + | 0.925950i | \(0.376734\pi\) |
−0.0381777 | + | 0.999271i | \(0.512155\pi\) | |||||||
\(192\) | −10.7058 | − | 8.79692i | −0.772625 | − | 0.634863i | ||||
\(193\) | −22.8646 | + | 8.32202i | −1.64583 | + | 0.599032i | −0.988044 | − | 0.154174i | \(-0.950728\pi\) |
−0.657784 | + | 0.753207i | \(0.728506\pi\) | |||||||
\(194\) | −8.09924 | + | 8.43700i | −0.581492 | + | 0.605741i | ||||
\(195\) | −1.48868 | − | 1.09877i | −0.106606 | − | 0.0786845i | ||||
\(196\) | −4.11438 | + | 7.85013i | −0.293885 | + | 0.560724i | ||||
\(197\) | −20.4404 | − | 15.6845i | −1.45632 | − | 1.11747i | −0.969829 | − | 0.243787i | \(-0.921610\pi\) |
−0.486490 | − | 0.873686i | \(-0.661723\pi\) | |||||||
\(198\) | 1.38176 | − | 0.140577i | 0.0981976 | − | 0.00999039i | ||||
\(199\) | −0.771571 | − | 2.87954i | −0.0546952 | − | 0.204125i | 0.933171 | − | 0.359433i | \(-0.117030\pi\) |
−0.987866 | + | 0.155308i | \(0.950363\pi\) | |||||||
\(200\) | −4.93152 | − | 1.45982i | −0.348711 | − | 0.103225i | ||||
\(201\) | −5.94375 | + | 17.3302i | −0.419240 | + | 1.22238i | ||||
\(202\) | −8.86941 | + | 1.35248i | −0.624050 | + | 0.0951598i | ||||
\(203\) | −6.76158 | + | 1.49901i | −0.474570 | + | 0.105210i | ||||
\(204\) | 1.69164 | − | 23.6560i | 0.118439 | − | 1.65625i | ||||
\(205\) | 26.5265 | − | 8.36376i | 1.85269 | − | 0.584150i | ||||
\(206\) | 14.5473 | − | 2.87256i | 1.01356 | − | 0.200141i | ||||
\(207\) | 0.294026 | − | 0.0109821i | 0.0204362 | − | 0.000763308i | ||||
\(208\) | 0.222640 | − | 1.62119i | 0.0154373 | − | 0.112409i | ||||
\(209\) | −0.380342 | + | 1.04498i | −0.0263088 | + | 0.0722829i | ||||
\(210\) | −4.69189 | − | 9.11393i | −0.323772 | − | 0.628921i | ||||
\(211\) | 1.34628 | + | 2.58618i | 0.0926817 | + | 0.178040i | 0.928873 | − | 0.370397i | \(-0.120778\pi\) |
−0.836192 | + | 0.548437i | \(0.815223\pi\) | |||||||
\(212\) | 11.0690 | + | 15.9024i | 0.760224 | + | 1.09218i | ||||
\(213\) | 17.9739 | − | 9.78730i | 1.23155 | − | 0.670615i | ||||
\(214\) | −0.175358 | − | 0.320695i | −0.0119872 | − | 0.0219223i | ||||
\(215\) | −7.89377 | − | 7.89377i | −0.538351 | − | 0.538351i | ||||
\(216\) | −12.6266 | − | 7.52130i | −0.859129 | − | 0.511760i | ||||
\(217\) | −0.160762 | + | 0.160762i | −0.0109133 | + | 0.0109133i | ||||
\(218\) | −6.46178 | − | 1.89322i | −0.437647 | − | 0.128225i | ||||
\(219\) | 4.50117 | + | 0.112402i | 0.304161 | + | 0.00759542i | ||||
\(220\) | 1.43932 | + | 0.922602i | 0.0970390 | + | 0.0622018i | ||||
\(221\) | 2.48438 | − | 1.29329i | 0.167118 | − | 0.0869960i | ||||
\(222\) | −13.8642 | + | 3.00758i | −0.930504 | + | 0.201856i | ||||
\(223\) | 17.9461 | + | 6.53184i | 1.20176 | + | 0.437404i | 0.863837 | − | 0.503771i | \(-0.168054\pi\) |
0.337920 | + | 0.941175i | \(0.390277\pi\) | |||||||
\(224\) | 5.08922 | − | 7.50279i | 0.340038 | − | 0.501301i | ||||
\(225\) | −5.40377 | − | 0.746082i | −0.360251 | − | 0.0497388i | ||||
\(226\) | 2.61155 | − | 3.89669i | 0.173718 | − | 0.259204i | ||||
\(227\) | −5.49098 | − | 17.4152i | −0.364449 | − | 1.15588i | −0.940880 | − | 0.338739i | \(-0.890000\pi\) |
0.576431 | − | 0.817145i | \(-0.304445\pi\) | |||||||
\(228\) | 9.82288 | − | 6.47939i | 0.650536 | − | 0.429108i | ||||
\(229\) | 1.44531 | + | 6.51937i | 0.0955088 | + | 0.430812i | 0.999991 | + | 0.00430044i | \(0.00136888\pi\) |
−0.904482 | + | 0.426512i | \(0.859742\pi\) | |||||||
\(230\) | 0.291777 | + | 0.214566i | 0.0192392 | + | 0.0141481i | ||||
\(231\) | 0.174476 | + | 0.891820i | 0.0114797 | + | 0.0586775i | ||||
\(232\) | −12.1556 | + | 1.27982i | −0.798057 | + | 0.0840245i | ||||
\(233\) | 9.55193 | − | 2.55943i | 0.625768 | − | 0.167674i | 0.0680194 | − | 0.997684i | \(-0.478332\pi\) |
0.557749 | + | 0.830010i | \(0.311665\pi\) | |||||||
\(234\) | −0.0245110 | − | 1.73550i | −0.00160233 | − | 0.113453i | ||||
\(235\) | 8.60938 | − | 11.2200i | 0.561614 | − | 0.731909i | ||||
\(236\) | 12.7046 | + | 1.14722i | 0.826996 | + | 0.0746774i | ||||
\(237\) | −10.1230 | − | 23.2042i | −0.657558 | − | 1.50728i | ||||
\(238\) | 15.5140 | − | 0.316873i | 1.00562 | − | 0.0205398i | ||||
\(239\) | 6.85804 | + | 18.8423i | 0.443609 | + | 1.21881i | 0.937102 | + | 0.349057i | \(0.113498\pi\) |
−0.493492 | + | 0.869750i | \(0.664280\pi\) | |||||||
\(240\) | −6.40943 | − | 16.9174i | −0.413727 | − | 1.09202i | ||||
\(241\) | −20.6248 | + | 3.63672i | −1.32856 | + | 0.234262i | −0.792477 | − | 0.609902i | \(-0.791209\pi\) |
−0.536086 | + | 0.844163i | \(0.680098\pi\) | |||||||
\(242\) | 10.1409 | + | 11.5961i | 0.651883 | + | 0.745425i | ||||
\(243\) | −14.4378 | − | 5.87796i | −0.926184 | − | 0.377071i | ||||
\(244\) | 1.51704 | − | 2.61075i | 0.0971187 | − | 0.167136i | ||||
\(245\) | −9.75931 | + | 6.21737i | −0.623500 | + | 0.397213i | ||||
\(246\) | 21.3045 | + | 15.0623i | 1.35833 | + | 0.960339i | ||||
\(247\) | 1.25950 | + | 0.587313i | 0.0801399 | + | 0.0373698i | ||||
\(248\) | −0.313969 | + | 0.249834i | −0.0199370 | + | 0.0158645i | ||||
\(249\) | −18.5960 | + | 0.347167i | −1.17848 | + | 0.0220008i | ||||
\(250\) | 8.11287 | + | 8.49851i | 0.513103 | + | 0.537493i | ||||
\(251\) | −9.81873 | − | 7.53418i | −0.619753 | − | 0.475553i | 0.250528 | − | 0.968109i | \(-0.419396\pi\) |
−0.870281 | + | 0.492556i | \(0.836063\pi\) | |||||||
\(252\) | 4.14291 | − | 8.67770i | 0.260979 | − | 0.546643i | ||||
\(253\) | −0.0195455 | − | 0.0254722i | −0.00122882 | − | 0.00160142i | ||||
\(254\) | 0.958621 | + | 1.31122i | 0.0601492 | + | 0.0822736i | ||||
\(255\) | 17.2837 | − | 25.6914i | 1.08235 | − | 1.60886i | ||||
\(256\) | 10.4207 | − | 12.1412i | 0.651293 | − | 0.758826i | ||||
\(257\) | −3.64721 | + | 20.6844i | −0.227507 | + | 1.29025i | 0.630328 | + | 0.776329i | \(0.282920\pi\) |
−0.857835 | + | 0.513926i | \(0.828191\pi\) | |||||||
\(258\) | 1.41406 | − | 10.3762i | 0.0880354 | − | 0.645996i | ||||
\(259\) | −2.79117 | − | 8.85246i | −0.173435 | − | 0.550065i | ||||
\(260\) | 1.30534 | − | 1.69136i | 0.0809535 | − | 0.104894i | ||||
\(261\) | −12.5434 | + | 3.27644i | −0.776418 | + | 0.202807i | ||||
\(262\) | 0.923928 | + | 14.4042i | 0.0570805 | + | 0.889892i | ||||
\(263\) | −11.1507 | + | 5.19966i | −0.687582 | + | 0.320625i | −0.734823 | − | 0.678259i | \(-0.762735\pi\) |
0.0472411 | + | 0.998884i | \(0.484957\pi\) | |||||||
\(264\) | 0.128057 | + | 1.59864i | 0.00788137 | + | 0.0983893i | ||||
\(265\) | 2.20475 | + | 25.2004i | 0.135436 | + | 1.54805i | ||||
\(266\) | 4.81072 | + | 6.01119i | 0.294964 | + | 0.368570i | ||||
\(267\) | 0.0868845 | − | 3.47931i | 0.00531724 | − | 0.212931i | ||||
\(268\) | −19.8593 | − | 7.29098i | −1.21310 | − | 0.445368i | ||||
\(269\) | −24.6788 | − | 10.2223i | −1.50469 | − | 0.623265i | −0.530240 | − | 0.847848i | \(-0.677898\pi\) |
−0.974455 | + | 0.224583i | \(0.927898\pi\) | |||||||
\(270\) | −9.41338 | − | 16.7206i | −0.572880 | − | 1.01758i | ||||
\(271\) | − | 16.5408i | − | 1.00478i | −0.864640 | − | 0.502391i | \(-0.832454\pi\) | ||
0.864640 | − | 0.502391i | \(-0.167546\pi\) | |||||||
\(272\) | 27.2674 | + | 2.53892i | 1.65333 | + | 0.153944i | ||||
\(273\) | 1.12925 | − | 0.120075i | 0.0683455 | − | 0.00726725i | ||||
\(274\) | −3.13362 | + | 5.69299i | −0.189309 | + | 0.343926i | ||||
\(275\) | 0.274862 | + | 0.528005i | 0.0165748 | + | 0.0318399i | ||||
\(276\) | 0.00539426 | + | 0.339706i | 0.000324696 | + | 0.0204479i | ||||
\(277\) | 0.162966 | + | 3.73253i | 0.00979166 | + | 0.224266i | 0.997631 | + | 0.0687891i | \(0.0219136\pi\) |
−0.987840 | + | 0.155477i | \(0.950309\pi\) | |||||||
\(278\) | −2.58327 | − | 2.27185i | −0.154934 | − | 0.136257i | ||||
\(279\) | −0.289488 | + | 0.311952i | −0.0173312 | + | 0.0186761i | ||||
\(280\) | 10.6377 | − | 5.19071i | 0.635722 | − | 0.310204i | ||||
\(281\) | −1.06066 | + | 12.1233i | −0.0632734 | + | 0.723218i | 0.896610 | + | 0.442820i | \(0.146022\pi\) |
−0.959884 | + | 0.280398i | \(0.909534\pi\) | |||||||
\(282\) | 13.2665 | + | 0.0602878i | 0.790009 | + | 0.00359008i | ||||
\(283\) | −4.11371 | − | 18.5557i | −0.244535 | − | 1.10302i | −0.927865 | − | 0.372915i | \(-0.878358\pi\) |
0.683331 | − | 0.730109i | \(-0.260531\pi\) | |||||||
\(284\) | 10.8535 | + | 20.9922i | 0.644039 | + | 1.24566i | ||||
\(285\) | 15.3337 | − | 0.956525i | 0.908289 | − | 0.0566597i | ||||
\(286\) | −0.152897 | + | 0.111781i | −0.00904096 | + | 0.00660974i | ||||
\(287\) | −8.53553 | + | 14.7840i | −0.503836 | + | 0.872670i | ||||
\(288\) | 8.99565 | − | 14.3902i | 0.530074 | − | 0.847952i | ||||
\(289\) | 14.9361 | + | 25.8702i | 0.878597 | + | 1.52177i | ||||
\(290\) | −14.5977 | − | 6.44743i | −0.857204 | − | 0.378606i | ||||
\(291\) | −11.5246 | − | 8.50614i | −0.675585 | − | 0.498639i | ||||
\(292\) | −0.241267 | + | 5.19352i | −0.0141191 | + | 0.303928i | ||||
\(293\) | 4.16279 | − | 3.81450i | 0.243193 | − | 0.222845i | −0.544742 | − | 0.838604i | \(-0.683372\pi\) |
0.787935 | + | 0.615758i | \(0.211150\pi\) | |||||||
\(294\) | −10.1833 | − | 3.75891i | −0.593902 | − | 0.219224i | ||||
\(295\) | 13.6426 | + | 9.55265i | 0.794303 | + | 0.556177i | ||||
\(296\) | −3.12860 | − | 16.0798i | −0.181846 | − | 0.934620i | ||||
\(297\) | 0.388682 | + | 1.65604i | 0.0225536 | + | 0.0960932i | ||||
\(298\) | −11.3598 | + | 3.83848i | −0.658056 | + | 0.222357i | ||||
\(299\) | −0.0338398 | + | 0.0215583i | −0.00195701 | + | 0.00124675i | ||||
\(300\) | 0.995170 | − | 6.21982i | 0.0574561 | − | 0.359101i | ||||
\(301\) | 6.84521 | + | 0.298868i | 0.394551 | + | 0.0172265i | ||||
\(302\) | −0.709678 | + | 0.0144952i | −0.0408374 | + | 0.000834106i | ||||
\(303\) | −3.04161 | − | 10.5590i | −0.174736 | − | 0.606598i | ||||
\(304\) | 7.23670 | + | 11.5004i | 0.415053 | + | 0.659593i | ||||
\(305\) | 3.41411 | − | 1.97113i | 0.195491 | − | 0.112867i | ||||
\(306\) | 28.9981 | − | 1.67667i | 1.65771 | − | 0.0958487i | ||||
\(307\) | −8.01151 | + | 6.14745i | −0.457241 | + | 0.350853i | −0.811558 | − | 0.584272i | \(-0.801380\pi\) |
0.354317 | + | 0.935125i | \(0.384713\pi\) | |||||||
\(308\) | −1.03387 | + | 0.179328i | −0.0589103 | + | 0.0102182i | ||||
\(309\) | 5.78340 | + | 17.2153i | 0.329006 | + | 0.979344i | ||||
\(310\) | −0.517872 | + | 0.0789690i | −0.0294131 | + | 0.00448514i | ||||
\(311\) | −21.5804 | + | 15.1107i | −1.22371 | + | 0.856851i | −0.993223 | − | 0.116225i | \(-0.962921\pi\) |
−0.230487 | + | 0.973076i | \(0.574032\pi\) | |||||||
\(312\) | 2.00413 | + | 0.0146969i | 0.113461 | + | 0.000832046i | ||||
\(313\) | 0.951509 | − | 10.8758i | 0.0537825 | − | 0.614737i | −0.920700 | − | 0.390272i | \(-0.872381\pi\) |
0.974482 | − | 0.224465i | \(-0.0720634\pi\) | |||||||
\(314\) | −1.13058 | + | 0.753150i | −0.0638022 | + | 0.0425027i | ||||
\(315\) | 10.3292 | − | 7.13606i | 0.581986 | − | 0.402071i | ||||
\(316\) | 27.0385 | − | 11.1115i | 1.52104 | − | 0.625070i | ||||
\(317\) | −4.25483 | + | 4.64333i | −0.238975 | + | 0.260796i | −0.845142 | − | 0.534542i | \(-0.820484\pi\) |
0.606167 | + | 0.795338i | \(0.292706\pi\) | |||||||
\(318\) | −17.5683 | + | 15.9521i | −0.985182 | + | 0.894551i | ||||
\(319\) | 1.08371 | + | 0.909342i | 0.0606762 | + | 0.0509134i | ||||
\(320\) | 19.6889 | − | 6.98017i | 1.10064 | − | 0.390203i | ||||
\(321\) | 0.361840 | − | 0.263563i | 0.0201959 | − | 0.0147107i | ||||
\(322\) | −0.221003 | + | 0.0238920i | −0.0123160 | + | 0.00133145i | ||||
\(323\) | −8.89995 | + | 21.4864i | −0.495206 | + | 1.19553i | ||||
\(324\) | 7.14338 | − | 16.5219i | 0.396855 | − | 0.917881i | ||||
\(325\) | 0.687263 | − | 0.284674i | 0.0381225 | − | 0.0157909i | ||||
\(326\) | 1.36264 | − | 4.65084i | 0.0754695 | − | 0.257586i | ||||
\(327\) | 1.28019 | − | 8.14674i | 0.0707945 | − | 0.450516i | ||||
\(328\) | −17.9163 | + | 24.2215i | −0.989260 | + | 1.33741i | ||||
\(329\) | 0.756521 | + | 8.64708i | 0.0417084 | + | 0.476729i | ||||
\(330\) | −0.893519 | + | 1.89364i | −0.0491866 | + | 0.104242i | ||||
\(331\) | 0.179686 | + | 4.11548i | 0.00987643 | + | 0.226207i | 0.997563 | + | 0.0697647i | \(0.0222249\pi\) |
−0.987687 | + | 0.156443i | \(0.949997\pi\) | |||||||
\(332\) | 0.0598945 | − | 21.4765i | 0.00328714 | − | 1.17868i | ||||
\(333\) | −5.83964 | − | 16.3643i | −0.320010 | − | 0.896759i | ||||
\(334\) | −20.8212 | + | 4.11142i | −1.13929 | + | 0.224967i | ||||
\(335\) | −17.7541 | − | 21.1585i | −0.970009 | − | 1.15601i | ||||
\(336\) | 9.91520 | + | 4.99769i | 0.540919 | + | 0.272646i | ||||
\(337\) | −19.5844 | − | 3.45326i | −1.06683 | − | 0.188111i | −0.387445 | − | 0.921893i | \(-0.626642\pi\) |
−0.679385 | + | 0.733782i | \(0.737754\pi\) | |||||||
\(338\) | −9.39310 | − | 15.5281i | −0.510917 | − | 0.844619i | ||||
\(339\) | 5.14462 | + | 2.55722i | 0.279417 | + | 0.138889i | ||||
\(340\) | 29.2308 | + | 20.5894i | 1.58527 | + | 1.11662i | ||||
\(341\) | 0.0460427 | + | 0.00606164i | 0.00249335 | + | 0.000328256i | ||||
\(342\) | 9.41888 | + | 10.9084i | 0.509315 | + | 0.589856i | ||||
\(343\) | 4.74176 | − | 17.6965i | 0.256031 | − | 0.955520i | ||||
\(344\) | 11.9437 | + | 1.88949i | 0.643959 | + | 0.101874i | ||||
\(345\) | −0.214579 | + | 0.388220i | −0.0115525 | + | 0.0209011i | ||||
\(346\) | 30.1227 | − | 13.2042i | 1.61941 | − | 0.709862i | ||||
\(347\) | 0.166803 | − | 0.152847i | 0.00895447 | − | 0.00820526i | −0.671101 | − | 0.741366i | \(-0.734178\pi\) |
0.680055 | + | 0.733161i | \(0.261956\pi\) | |||||||
\(348\) | −3.47171 | − | 14.5617i | −0.186103 | − | 0.780590i | ||||
\(349\) | 8.95037 | + | 1.98425i | 0.479103 | + | 0.106214i | 0.449374 | − | 0.893344i | \(-0.351647\pi\) |
0.0297282 | + | 0.999558i | \(0.490536\pi\) | |||||||
\(350\) | 4.11207 | + | 0.275278i | 0.219799 | + | 0.0147142i | ||||
\(351\) | 2.10398 | − | 0.303509i | 0.112302 | − | 0.0162001i | ||||
\(352\) | −1.84869 | + | 0.108231i | −0.0985357 | + | 0.00576873i | ||||
\(353\) | −0.349838 | − | 1.98403i | −0.0186200 | − | 0.105599i | 0.974081 | − | 0.226198i | \(-0.0726297\pi\) |
−0.992701 | + | 0.120599i | \(0.961519\pi\) | |||||||
\(354\) | 0.610536 | + | 15.6112i | 0.0324496 | + | 0.829727i | ||||
\(355\) | −1.34583 | + | 30.8245i | −0.0714291 | + | 1.63599i | ||||
\(356\) | 4.01449 | + | 0.186495i | 0.212768 | + | 0.00988421i | ||||
\(357\) | 2.83186 | + | 18.7924i | 0.149878 | + | 0.994601i | ||||
\(358\) | 21.6549 | − | 20.6723i | 1.14450 | − | 1.09256i | ||||
\(359\) | 10.3974 | + | 2.78597i | 0.548754 | + | 0.147038i | 0.522534 | − | 0.852618i | \(-0.324987\pi\) |
0.0262191 | + | 0.999656i | \(0.491653\pi\) | |||||||
\(360\) | 19.5360 | − | 10.4529i | 1.02964 | − | 0.550917i | ||||
\(361\) | 7.20648 | − | 1.93097i | 0.379289 | − | 0.101630i | ||||
\(362\) | −14.2427 | + | 23.3976i | −0.748580 | + | 1.22975i | ||||
\(363\) | −12.4845 | + | 14.1457i | −0.655264 | + | 0.742455i | ||||
\(364\) | 0.110644 | + | 1.30662i | 0.00579931 | + | 0.0684856i | ||||
\(365\) | −3.64717 | + | 5.72491i | −0.190902 | + | 0.299655i | ||||
\(366\) | 3.41016 | + | 1.43073i | 0.178252 | + | 0.0747852i | ||||
\(367\) | −16.1765 | − | 19.2784i | −0.844405 | − | 1.00632i | −0.999829 | − | 0.0184745i | \(-0.994119\pi\) |
0.155425 | − | 0.987848i | \(-0.450325\pi\) | |||||||
\(368\) | −0.392302 | − | 0.00218815i | −0.0204501 | − | 0.000114065i | ||||
\(369\) | −14.9335 | + | 28.2511i | −0.777409 | + | 1.47069i | ||||
\(370\) | 6.90300 | − | 20.2428i | 0.358870 | − | 1.05237i | ||||
\(371\) | −11.4471 | − | 10.4893i | −0.594302 | − | 0.544577i | ||||
\(372\) | −0.352957 | − | 0.341923i | −0.0183000 | − | 0.0177279i | ||||
\(373\) | −3.06102 | + | 9.70833i | −0.158494 | + | 0.502678i | −0.999249 | − | 0.0387367i | \(-0.987667\pi\) |
0.840756 | + | 0.541415i | \(0.182111\pi\) | |||||||
\(374\) | −1.98049 | − | 2.47470i | −0.102408 | − | 0.127963i | ||||
\(375\) | −9.04219 | + | 11.1939i | −0.466937 | + | 0.578051i | ||||
\(376\) | −0.398247 | + | 15.3138i | −0.0205380 | + | 0.789750i | ||||
\(377\) | 1.25010 | − | 1.25010i | 0.0643833 | − | 0.0643833i | ||||
\(378\) | 11.1929 | + | 3.66302i | 0.575702 | + | 0.188405i | ||||
\(379\) | −26.8964 | + | 11.1409i | −1.38158 | + | 0.572268i | −0.944902 | − | 0.327352i | \(-0.893844\pi\) |
−0.436674 | + | 0.899620i | \(0.643844\pi\) | |||||||
\(380\) | 0.724388 | + | 17.7254i | 0.0371603 | + | 0.909295i | ||||
\(381\) | −1.44134 | + | 1.37111i | −0.0738421 | + | 0.0702440i | ||||
\(382\) | −10.6407 | − | 36.6970i | −0.544426 | − | 1.87758i | ||||
\(383\) | 26.1437 | + | 21.9372i | 1.33588 | + | 1.12094i | 0.982664 | + | 0.185398i | \(0.0593573\pi\) |
0.353219 | + | 0.935541i | \(0.385087\pi\) | |||||||
\(384\) | 16.3897 | + | 10.7414i | 0.836384 | + | 0.548143i | ||||
\(385\) | −1.28735 | − | 0.468559i | −0.0656097 | − | 0.0238800i | ||||
\(386\) | 30.8831 | − | 15.1764i | 1.57191 | − | 0.772457i | ||||
\(387\) | 12.8255 | + | 0.0807993i | 0.651955 | + | 0.00410726i | ||||
\(388\) | 10.1053 | − | 13.0937i | 0.513018 | − | 0.664731i | ||||
\(389\) | −5.00736 | + | 9.61905i | −0.253883 | + | 0.487705i | −0.979775 | − | 0.200104i | \(-0.935872\pi\) |
0.725891 | + | 0.687809i | \(0.241428\pi\) | |||||||
\(390\) | 2.26012 | + | 1.31861i | 0.114446 | + | 0.0667706i | ||||
\(391\) | −0.385138 | − | 0.550034i | −0.0194773 | − | 0.0278164i | ||||
\(392\) | 4.59169 | − | 11.6628i | 0.231915 | − | 0.589062i | ||||
\(393\) | −17.3488 | + | 3.39411i | −0.875130 | + | 0.171210i | ||||
\(394\) | 31.1237 | + | 18.9458i | 1.56799 | + | 0.954473i | ||||
\(395\) | 37.8396 | + | 4.98167i | 1.90391 | + | 0.250655i | ||||
\(396\) | −1.92142 | + | 0.407683i | −0.0965549 | + | 0.0204869i | ||||
\(397\) | 2.67436 | + | 20.3138i | 0.134222 | + | 1.01952i | 0.917469 | + | 0.397808i | \(0.130229\pi\) |
−0.783247 | + | 0.621711i | \(0.786438\pi\) | |||||||
\(398\) | 1.52254 | + | 3.93142i | 0.0763179 | + | 0.197064i | ||||
\(399\) | −6.54207 | + | 6.79098i | −0.327513 | + | 0.339974i | ||||
\(400\) | 7.15572 | + | 1.30294i | 0.357786 | + | 0.0651470i | ||||
\(401\) | −5.44565 | − | 14.9618i | −0.271943 | − | 0.747157i | −0.998214 | − | 0.0597478i | \(-0.980970\pi\) |
0.726271 | − | 0.687409i | \(-0.241252\pi\) | |||||||
\(402\) | 5.72284 | − | 25.2700i | 0.285429 | − | 1.26036i | ||||
\(403\) | 0.0125611 | − | 0.0566595i | 0.000625713 | − | 0.00282241i | ||||
\(404\) | 12.2650 | − | 3.24976i | 0.610207 | − | 0.161682i | ||||
\(405\) | 18.8232 | − | 14.0703i | 0.935331 | − | 0.699160i | ||||
\(406\) | 9.27908 | − | 3.13540i | 0.460513 | − | 0.155607i | ||||
\(407\) | −1.08750 | + | 1.55311i | −0.0539053 | + | 0.0769848i | ||||
\(408\) | 1.21724 | + | 33.5180i | 0.0602623 | + | 1.65939i | ||||
\(409\) | 12.5114 | − | 26.8308i | 0.618648 | − | 1.32670i | −0.308222 | − | 0.951314i | \(-0.599734\pi\) |
0.926871 | − | 0.375381i | \(-0.122488\pi\) | |||||||
\(410\) | −36.0255 | + | 15.7917i | −1.77917 | + | 0.779895i | ||||
\(411\) | −7.40866 | − | 2.90797i | −0.365442 | − | 0.143439i | ||||
\(412\) | −20.0172 | + | 6.25008i | −0.986177 | + | 0.307920i | ||||
\(413\) | −10.1345 | + | 1.33423i | −0.498685 | + | 0.0656532i | ||||
\(414\) | −0.411737 | + | 0.0601332i | −0.0202358 | + | 0.00295538i | ||||
\(415\) | 14.0199 | − | 24.2832i | 0.688210 | − | 1.19201i | ||||
\(416\) | −0.0666145 | + | 2.31327i | −0.00326604 | + | 0.113418i | ||||
\(417\) | 2.35181 | − | 3.49584i | 0.115169 | − | 0.171192i | ||||
\(418\) | 0.375931 | − | 1.52708i | 0.0183874 | − | 0.0746919i | ||||
\(419\) | −17.9925 | − | 11.4625i | −0.878991 | − | 0.559979i | 0.0190854 | − | 0.999818i | \(-0.493925\pi\) |
−0.898077 | + | 0.439839i | \(0.855036\pi\) | |||||||
\(420\) | 7.98223 | + | 12.1012i | 0.389493 | + | 0.590478i | ||||
\(421\) | 7.03062 | − | 13.5057i | 0.342651 | − | 0.658227i | −0.652369 | − | 0.757902i | \(-0.726225\pi\) |
0.995020 | + | 0.0996745i | \(0.0317801\pi\) | |||||||
\(422\) | −2.28600 | − | 3.43159i | −0.111281 | − | 0.167047i | ||||
\(423\) | 2.01929 | + | 16.1223i | 0.0981815 | + | 0.783892i | ||||
\(424\) | −17.9805 | − | 20.6766i | −0.873209 | − | 1.00415i | ||||
\(425\) | 5.26117 | + | 11.2826i | 0.255204 | + | 0.547287i | ||||
\(426\) | −23.7840 | + | 16.4932i | −1.15234 | + | 0.799098i | ||||
\(427\) | −0.727593 | + | 2.30763i | −0.0352107 | + | 0.111674i | ||||
\(428\) | 0.295303 | + | 0.424249i | 0.0142740 | + | 0.0205069i | ||||
\(429\) | −0.159879 | − | 0.168069i | −0.00771905 | − | 0.00811444i | ||||
\(430\) | 12.2987 | + | 9.89895i | 0.593095 | + | 0.477370i | ||||
\(431\) | 5.67004i | 0.273116i | 0.990632 | + | 0.136558i | \(0.0436040\pi\) | ||||
−0.990632 | + | 0.136558i | \(0.956396\pi\) | |||||||
\(432\) | 18.8965 | + | 8.65586i | 0.909156 | + | 0.416455i | ||||
\(433\) | 21.9434i | 1.05453i | 0.849700 | + | 0.527266i | \(0.176783\pi\) | ||||
−0.849700 | + | 0.527266i | \(0.823217\pi\) | |||||||
\(434\) | 0.201599 | − | 0.250471i | 0.00967707 | − | 0.0120230i | ||||
\(435\) | 5.52822 | − | 18.7465i | 0.265058 | − | 0.898825i | ||||
\(436\) | 9.37317 | + | 1.67971i | 0.448893 | + | 0.0804435i | ||||
\(437\) | 0.100184 | − | 0.317743i | 0.00479245 | − | 0.0151997i | ||||
\(438\) | −6.34582 | + | 0.526141i | −0.303215 | + | 0.0251400i | ||||
\(439\) | 6.56183 | + | 14.0719i | 0.313179 | + | 0.671615i | 0.998390 | − | 0.0567303i | \(-0.0180675\pi\) |
−0.685210 | + | 0.728345i | \(0.740290\pi\) | |||||||
\(440\) | −2.16395 | − | 1.07842i | −0.103162 | − | 0.0514117i | ||||
\(441\) | 2.95917 | − | 12.9610i | 0.140913 | − | 0.617189i | ||||
\(442\) | −3.29652 | + | 2.19602i | −0.156799 | + | 0.104454i | ||||
\(443\) | 13.6272 | − | 26.1776i | 0.647447 | − | 1.24373i | −0.308787 | − | 0.951131i | \(-0.599923\pi\) |
0.956234 | − | 0.292603i | \(-0.0945215\pi\) | |||||||
\(444\) | 19.0362 | − | 6.33609i | 0.903418 | − | 0.300698i | ||||
\(445\) | 4.42524 | + | 2.81919i | 0.209777 | + | 0.133642i | ||||
\(446\) | −26.2254 | − | 6.45609i | −1.24181 | − | 0.305705i | ||||
\(447\) | −6.45378 | − | 13.1916i | −0.305253 | − | 0.623940i | ||||
\(448\) | −6.01513 | + | 11.3226i | −0.284188 | + | 0.534945i | ||||
\(449\) | −0.434796 | + | 0.753089i | −0.0205193 | + | 0.0355405i | −0.876103 | − | 0.482124i | \(-0.839865\pi\) |
0.855583 | + | 0.517665i | \(0.173199\pi\) | |||||||
\(450\) | 7.71122 | + | 0.227631i | 0.363510 | + | 0.0107306i | ||||
\(451\) | 3.45718 | − | 0.455146i | 0.162792 | − | 0.0214320i | ||||
\(452\) | −3.07959 | + | 5.87578i | −0.144852 | + | 0.276373i | ||||
\(453\) | −0.129542 | − | 0.859651i | −0.00608643 | − | 0.0403899i | ||||
\(454\) | 10.3675 | + | 23.6514i | 0.486573 | + | 1.11002i | ||||
\(455\) | −0.723535 | + | 1.55163i | −0.0339198 | + | 0.0727413i | ||||
\(456\) | −12.8263 | + | 10.6032i | −0.600647 | + | 0.496543i | ||||
\(457\) | 10.1404 | − | 14.4819i | 0.474346 | − | 0.677437i | −0.508669 | − | 0.860962i | \(-0.669862\pi\) |
0.983015 | + | 0.183526i | \(0.0587511\pi\) | |||||||
\(458\) | −3.02309 | − | 8.94669i | −0.141260 | − | 0.418051i | ||||
\(459\) | 6.61024 | + | 34.9551i | 0.308540 | + | 1.63156i | ||||
\(460\) | −0.442859 | − | 0.257334i | −0.0206484 | − | 0.0119983i | ||||
\(461\) | 7.53668 | − | 33.9957i | 0.351018 | − | 1.58334i | −0.395816 | − | 0.918330i | \(-0.629538\pi\) |
0.746834 | − | 0.665010i | \(-0.231573\pi\) | |||||||
\(462\) | −0.380874 | − | 1.22740i | −0.0177198 | − | 0.0571037i | ||||
\(463\) | −11.1030 | − | 30.5052i | −0.516000 | − | 1.41770i | −0.874892 | − | 0.484319i | \(-0.839067\pi\) |
0.358892 | − | 0.933379i | \(-0.383155\pi\) | |||||||
\(464\) | 16.8966 | − | 3.64712i | 0.784403 | − | 0.169313i | ||||
\(465\) | −0.177595 | − | 0.616523i | −0.00823578 | − | 0.0285906i | ||||
\(466\) | −13.0412 | + | 5.05052i | −0.604121 | + | 0.233961i | ||||
\(467\) | 4.61023 | + | 35.0182i | 0.213336 | + | 1.62045i | 0.678070 | + | 0.734997i | \(0.262816\pi\) |
−0.464734 | + | 0.885450i | \(0.653850\pi\) | |||||||
\(468\) | 0.298260 | + | 2.43642i | 0.0137871 | + | 0.112624i | ||||
\(469\) | 16.8074 | + | 2.21273i | 0.776092 | + | 0.102174i | ||||
\(470\) | −10.3995 | + | 17.0841i | −0.479694 | + | 0.788032i | ||||
\(471\) | −1.09306 | − | 1.25435i | −0.0503656 | − | 0.0577972i | ||||
\(472\) | −18.0373 | + | 0.318091i | −0.830232 | + | 0.0146413i | ||||
\(473\) | −0.802758 | − | 1.14646i | −0.0369108 | − | 0.0527141i | ||||
\(474\) | 17.7602 | + | 31.0869i | 0.815752 | + | 1.42787i | ||||
\(475\) | −2.85214 | + | 5.47892i | −0.130865 | + | 0.251390i | ||||
\(476\) | −21.7648 | + | 2.80366i | −0.997587 | + | 0.128506i | ||||
\(477\) | −22.1456 | − | 18.8214i | −1.01398 | − | 0.861772i | ||||
\(478\) | −12.5066 | − | 25.4502i | −0.572038 | − | 1.16407i | ||||
\(479\) | 27.1348 | + | 9.87625i | 1.23982 | + | 0.451258i | 0.876950 | − | 0.480582i | \(-0.159575\pi\) |
0.362870 | + | 0.931840i | \(0.381797\pi\) | |||||||
\(480\) | 11.5833 | + | 22.8120i | 0.528701 | + | 1.04122i | ||||
\(481\) | 1.81506 | + | 1.52301i | 0.0827595 | + | 0.0694435i | ||||
\(482\) | 28.4462 | − | 8.24829i | 1.29569 | − | 0.375699i | ||||
\(483\) | −0.0638766 | − | 0.264650i | −0.00290649 | − | 0.0120420i | ||||
\(484\) | −16.0210 | − | 14.7629i | −0.728226 | − | 0.671042i | ||||
\(485\) | 19.9504 | − | 8.26374i | 0.905902 | − | 0.375237i | ||||
\(486\) | 21.1933 | + | 6.06998i | 0.961347 | + | 0.275340i | ||||
\(487\) | −8.64027 | + | 8.64027i | −0.391528 | + | 0.391528i | −0.875232 | − | 0.483704i | \(-0.839291\pi\) |
0.483704 | + | 0.875232i | \(0.339291\pi\) | |||||||
\(488\) | −1.73616 | + | 3.90137i | −0.0785922 | + | 0.176607i | ||||
\(489\) | 5.86359 | + | 0.921410i | 0.265161 | + | 0.0416676i | ||||
\(490\) | 12.7768 | − | 10.2252i | 0.577195 | − | 0.461926i | ||||
\(491\) | 2.51230 | − | 7.96801i | 0.113379 | − | 0.359591i | −0.879927 | − | 0.475109i | \(-0.842408\pi\) |
0.993305 | + | 0.115518i | \(0.0368529\pi\) | |||||||
\(492\) | −32.2441 | − | 17.9397i | −1.45368 | − | 0.808782i | ||||
\(493\) | 21.8130 | + | 19.9879i | 0.982409 | + | 0.900212i | ||||
\(494\) | −1.86015 | − | 0.634331i | −0.0836922 | − | 0.0285399i | ||||
\(495\) | −2.44085 | − | 0.786537i | −0.109708 | − | 0.0353522i | ||||
\(496\) | 0.403472 | − | 0.398996i | 0.0181164 | − | 0.0179154i | ||||
\(497\) | −12.1724 | − | 14.5065i | −0.546008 | − | 0.650708i | ||||
\(498\) | 26.0936 | − | 3.31473i | 1.16928 | − | 0.148537i | ||||
\(499\) | 5.76476 | − | 9.04886i | 0.258066 | − | 0.405083i | −0.689677 | − | 0.724117i | \(-0.742247\pi\) |
0.947743 | + | 0.319035i | \(0.103359\pi\) | |||||||
\(500\) | −12.6986 | − | 10.7159i | −0.567901 | − | 0.479231i | ||||
\(501\) | −8.27763 | − | 24.6398i | −0.369817 | − | 1.10083i | ||||
\(502\) | 14.9505 | + | 9.10076i | 0.667275 | + | 0.406187i | ||||
\(503\) | 28.2829 | − | 7.57839i | 1.26107 | − | 0.337904i | 0.434469 | − | 0.900687i | \(-0.356936\pi\) |
0.826605 | + | 0.562783i | \(0.190269\pi\) | |||||||
\(504\) | −4.50600 | + | 12.8307i | −0.200713 | + | 0.571527i | ||||
\(505\) | 16.0013 | + | 4.28753i | 0.712047 | + | 0.190792i | ||||
\(506\) | 0.0313532 | + | 0.0328435i | 0.00139382 | + | 0.00146007i | ||||
\(507\) | 17.3781 | − | 13.8576i | 0.771786 | − | 0.615437i | ||||
\(508\) | −1.54715 | − | 1.69790i | −0.0686436 | − | 0.0753321i | ||||
\(509\) | 1.39301 | − | 31.9053i | 0.0617443 | − | 1.41418i | −0.674906 | − | 0.737903i | \(-0.735816\pi\) |
0.736651 | − | 0.676273i | \(-0.236406\pi\) | |||||||
\(510\) | −20.3962 | + | 38.7498i | −0.903158 | + | 1.71587i | ||||
\(511\) | −0.723453 | − | 4.10290i | −0.0320037 | − | 0.181502i | ||||
\(512\) | −12.8062 | + | 18.6548i | −0.565961 | + | 0.824432i | ||||
\(513\) | −11.7631 | + | 13.1602i | −0.519352 | + | 0.581038i | ||||
\(514\) | 1.98402 | − | 29.6370i | 0.0875114 | − | 1.30723i | ||||
\(515\) | −26.7298 | − | 5.92585i | −1.17785 | − | 0.261124i | ||||
\(516\) | −0.411000 | + | 14.8041i | −0.0180933 | + | 0.651716i | ||||
\(517\) | 1.30722 | − | 1.19785i | 0.0574915 | − | 0.0526813i | ||||
\(518\) | 5.27002 | + | 12.0225i | 0.231552 | + | 0.528238i | ||||
\(519\) | 20.7883 | + | 34.5027i | 0.912506 | + | 1.51450i | ||||
\(520\) | −1.57824 | + | 2.57650i | −0.0692105 | + | 0.112987i | ||||
\(521\) | 8.54333 | − | 31.8841i | 0.374290 | − | 1.39687i | −0.480089 | − | 0.877220i | \(-0.659396\pi\) |
0.854379 | − | 0.519650i | \(-0.173938\pi\) | |||||||
\(522\) | 17.1383 | − | 6.51336i | 0.750122 | − | 0.285082i | ||||
\(523\) | −34.6922 | − | 4.56731i | −1.51698 | − | 0.199714i | −0.674434 | − | 0.738335i | \(-0.735612\pi\) |
−0.842548 | + | 0.538621i | \(0.818945\pi\) | |||||||
\(524\) | −3.48850 | − | 20.1121i | −0.152396 | − | 0.878602i | ||||
\(525\) | 0.314256 | + | 5.03771i | 0.0137152 | + | 0.219864i | ||||
\(526\) | 14.8878 | − | 9.00575i | 0.649138 | − | 0.392669i | ||||
\(527\) | 0.956464 | + | 0.168650i | 0.0416642 | + | 0.00734653i | ||||
\(528\) | −0.423045 | − | 2.22825i | −0.0184107 | − | 0.0969722i | ||||
\(529\) | −14.7779 | − | 17.6117i | −0.642519 | − | 0.765724i | ||||
\(530\) | −6.93039 | − | 35.0971i | −0.301037 | − | 1.52452i | ||||
\(531\) | −18.8642 | + | 3.20387i | −0.818638 | + | 0.139036i | ||||
\(532\) | −7.67768 | − | 7.72063i | −0.332870 | − | 0.334732i | ||||
\(533\) | −0.190078 | − | 4.35350i | −0.00823319 | − | 0.188571i | ||||
\(534\) | 0.406696 | + | 4.90520i | 0.0175995 | + | 0.212269i | ||||
\(535\) | 0.0588189 | + | 0.672303i | 0.00254296 | + | 0.0290662i | ||||
\(536\) | 29.0309 | + | 7.23265i | 1.25394 | + | 0.312403i | ||||
\(537\) | 28.5231 | + | 23.0403i | 1.23086 | + | 0.994261i | ||||
\(538\) | 36.2528 | + | 10.6216i | 1.56297 | + | 0.457929i | ||||
\(539\) | −1.34029 | + | 0.555167i | −0.0577304 | + | 0.0239127i | ||||
\(540\) | 15.7770 | + | 22.0787i | 0.678932 | + | 0.950116i | ||||
\(541\) | 5.42561 | − | 13.0986i | 0.233265 | − | 0.563152i | −0.763293 | − | 0.646053i | \(-0.776418\pi\) |
0.996558 | + | 0.0829009i | \(0.0264185\pi\) | |||||||
\(542\) | 2.51421 | + | 23.2567i | 0.107995 | + | 0.998962i | ||||
\(543\) | −30.6640 | − | 13.6079i | −1.31592 | − | 0.583972i | ||||
\(544\) | −38.7244 | + | 0.574889i | −1.66030 | + | 0.0246482i | ||||
\(545\) | 9.52388 | + | 7.99148i | 0.407958 | + | 0.342317i | ||||
\(546\) | −1.56950 | + | 0.340475i | −0.0671685 | + | 0.0145710i | ||||
\(547\) | 8.03207 | − | 8.76546i | 0.343426 | − | 0.374784i | −0.541352 | − | 0.840796i | \(-0.682087\pi\) |
0.884778 | + | 0.466012i | \(0.154310\pi\) | |||||||
\(548\) | 3.54059 | − | 8.48077i | 0.151247 | − | 0.362281i | ||||
\(549\) | −1.19980 | + | 4.36747i | −0.0512062 | + | 0.186399i | ||||
\(550\) | −0.466719 | − | 0.700607i | −0.0199010 | − | 0.0298740i | ||||
\(551\) | −1.27942 | + | 14.6238i | −0.0545051 | + | 0.622996i | ||||
\(552\) | −0.0592199 | − | 0.476814i | −0.00252057 | − | 0.0202945i | ||||
\(553\) | −19.1886 | + | 13.4360i | −0.815981 | + | 0.571356i | ||||
\(554\) | −0.796479 | − | 5.22324i | −0.0338392 | − | 0.221914i | ||||
\(555\) | 25.6746 | + | 5.19113i | 1.08983 | + | 0.220351i | ||||
\(556\) | 3.97746 | + | 2.80161i | 0.168682 | + | 0.118815i | ||||
\(557\) | 26.8147 | − | 20.5757i | 1.13618 | − | 0.871819i | 0.143149 | − | 0.989701i | \(-0.454277\pi\) |
0.993028 | + | 0.117883i | \(0.0376106\pi\) | |||||||
\(558\) | 0.359610 | − | 0.482614i | 0.0152235 | − | 0.0204307i | ||||
\(559\) | −1.51469 | + | 0.874504i | −0.0640644 | + | 0.0369876i | ||||
\(560\) | −14.1678 | + | 8.91518i | −0.598699 | + | 0.376735i | ||||
\(561\) | 2.69325 | − | 2.79572i | 0.113709 | − | 0.118036i | ||||
\(562\) | −0.351452 | − | 17.2069i | −0.0148251 | − | 0.725829i | ||||
\(563\) | 11.9507 | + | 0.521780i | 0.503663 | + | 0.0219904i | 0.294043 | − | 0.955792i | \(-0.404999\pi\) |
0.209621 | + | 0.977783i | \(0.432777\pi\) | |||||||
\(564\) | −18.6621 | + | 1.93175i | −0.785818 | + | 0.0813413i | ||||
\(565\) | −7.30479 | + | 4.65367i | −0.307315 | + | 0.195781i | ||||
\(566\) | 8.60444 | + | 25.4645i | 0.361672 | + | 1.07035i | ||||
\(567\) | −2.68345 | + | 14.1721i | −0.112694 | + | 0.595171i | ||||
\(568\) | −18.4511 | − | 27.8657i | −0.774192 | − | 1.16922i | ||||
\(569\) | −37.0156 | − | 25.9186i | −1.55178 | − | 1.08657i | −0.959828 | − | 0.280590i | \(-0.909470\pi\) |
−0.591948 | − | 0.805976i | \(-0.701641\pi\) | |||||||
\(570\) | −21.4141 | + | 3.67562i | −0.896938 | + | 0.153955i | ||||
\(571\) | −21.0571 | + | 19.2953i | −0.881214 | + | 0.807484i | −0.982285 | − | 0.187396i | \(-0.939995\pi\) |
0.101071 | + | 0.994879i | \(0.467773\pi\) | |||||||
\(572\) | 0.197985 | − | 0.180407i | 0.00827817 | − | 0.00754318i | ||||
\(573\) | 42.8918 | − | 18.7118i | 1.79183 | − | 0.781698i | ||||
\(574\) | 9.75396 | − | 22.0840i | 0.407122 | − | 0.921767i | ||||
\(575\) | −0.0891688 | − | 0.154445i | −0.00371860 | − | 0.00644080i | ||||
\(576\) | −10.4607 | + | 21.6003i | −0.435865 | + | 0.900012i | ||||
\(577\) | −18.6958 | + | 32.3821i | −0.778318 | + | 1.34809i | 0.154593 | + | 0.987978i | \(0.450593\pi\) |
−0.932911 | + | 0.360107i | \(0.882740\pi\) | |||||||
\(578\) | −24.9328 | − | 34.1037i | −1.03707 | − | 1.41853i | ||||
\(579\) | 23.3036 | + | 35.1152i | 0.968463 | + | 1.45934i | ||||
\(580\) | 21.5046 | + | 6.84638i | 0.892931 | + | 0.284280i | ||||
\(581\) | 3.72488 | + | 16.8018i | 0.154534 | + | 0.697058i | ||||
\(582\) | 17.4968 | + | 10.2081i | 0.725265 | + | 0.423138i | ||||
\(583\) | −0.276409 | + | 3.15937i | −0.0114477 | + | 0.130848i | ||||
\(584\) | −0.450191 | − | 7.33887i | −0.0186290 | − | 0.303685i | ||||
\(585\) | −1.24503 | + | 2.95301i | −0.0514756 | + | 0.122092i | ||||
\(586\) | −5.27317 | + | 5.99601i | −0.217833 | + | 0.247693i | ||||
\(587\) | 1.06360 | + | 24.3605i | 0.0438996 | + | 1.00547i | 0.885290 | + | 0.465039i | \(0.153960\pi\) |
−0.841390 | + | 0.540428i | \(0.818262\pi\) | |||||||
\(588\) | 14.8893 | + | 3.73724i | 0.614024 | + | 0.154121i | ||||
\(589\) | 0.222513 | + | 0.427443i | 0.00916847 | + | 0.0176125i | ||||
\(590\) | −20.6338 | − | 11.3575i | −0.849480 | − | 0.467583i | ||||
\(591\) | −18.1014 | + | 40.7895i | −0.744591 | + | 1.67785i | ||||
\(592\) | 6.84302 | + | 22.1330i | 0.281247 | + | 0.909661i | ||||
\(593\) | − | 24.1333i | − | 0.991038i | −0.868597 | − | 0.495519i | \(-0.834978\pi\) | ||
0.868597 | − | 0.495519i | \(-0.165022\pi\) | |||||||
\(594\) | −0.798214 | − | 2.26935i | −0.0327511 | − | 0.0931125i | ||||
\(595\) | −26.4699 | − | 10.9642i | −1.08516 | − | 0.449489i | ||||
\(596\) | 15.3887 | − | 7.12368i | 0.630345 | − | 0.291797i | ||||
\(597\) | −4.53474 | + | 2.46929i | −0.185594 | + | 0.101061i | ||||
\(598\) | 0.0443026 | − | 0.0354552i | 0.00181167 | − | 0.00144987i | ||||
\(599\) | −0.772775 | − | 8.83286i | −0.0315747 | − | 0.360901i | −0.995502 | − | 0.0947365i | \(-0.969799\pi\) |
0.963928 | − | 0.266164i | \(-0.0857564\pi\) | |||||||
\(600\) | −0.453814 | + | 8.89646i | −0.0185269 | + | 0.363197i | ||||
\(601\) | 12.5472 | − | 5.85083i | 0.511809 | − | 0.238660i | −0.149517 | − | 0.988759i | \(-0.547772\pi\) |
0.661326 | + | 0.750099i | \(0.269994\pi\) | |||||||
\(602\) | −9.66993 | + | 0.620260i | −0.394117 | + | 0.0252799i | ||||
\(603\) | 31.5943 | + | 2.96482i | 1.28662 | + | 0.120737i | ||||
\(604\) | 0.995620 | − | 0.128252i | 0.0405112 | − | 0.00521850i | ||||
\(605\) | −8.55307 | − | 27.1269i | −0.347732 | − | 1.10286i | ||||
\(606\) | 5.88154 | + | 14.3838i | 0.238921 | + | 0.584303i | ||||
\(607\) | −1.91745 | + | 10.8744i | −0.0778268 | + | 0.441378i | 0.920848 | + | 0.389921i | \(0.127498\pi\) |
−0.998675 | + | 0.0514569i | \(0.983614\pi\) | |||||||
\(608\) | −11.9230 | − | 15.0698i | −0.483542 | − | 0.611162i | ||||
\(609\) | 5.27167 | + | 10.7753i | 0.213619 | + | 0.436638i | ||||
\(610\) | −4.50069 | + | 3.29040i | −0.182228 | + | 0.133225i | ||||
\(611\) | −1.34885 | − | 1.75786i | −0.0545687 | − | 0.0711153i | ||||
\(612\) | −40.5171 | + | 6.76516i | −1.63781 | + | 0.273465i | ||||
\(613\) | −6.17981 | − | 4.74193i | −0.249600 | − | 0.191525i | 0.476382 | − | 0.879238i | \(-0.341948\pi\) |
−0.725982 | + | 0.687713i | \(0.758615\pi\) | |||||||
\(614\) | 10.3299 | − | 9.86120i | 0.416882 | − | 0.397965i | ||||
\(615\) | −24.8620 | − | 41.2638i | −1.00253 | − | 1.66392i | ||||
\(616\) | 1.42639 | − | 0.409288i | 0.0574707 | − | 0.0164907i | ||||
\(617\) | 16.8125 | + | 7.83978i | 0.676845 | + | 0.315618i | 0.730471 | − | 0.682943i | \(-0.239300\pi\) |
−0.0536269 | + | 0.998561i | \(0.517078\pi\) | |||||||
\(618\) | −10.7483 | − | 23.3260i | −0.432361 | − | 0.938309i | ||||
\(619\) | 38.8747 | − | 24.7659i | 1.56251 | − | 0.995426i | 0.578837 | − | 0.815444i | \(-0.303507\pi\) |
0.983670 | − | 0.179983i | \(-0.0576042\pi\) | |||||||
\(620\) | 0.716135 | − | 0.189749i | 0.0287607 | − | 0.00762050i | ||||
\(621\) | −0.137978 | − | 0.490589i | −0.00553685 | − | 0.0196867i | ||||
\(622\) | 28.0456 | − | 24.5262i | 1.12453 | − | 0.983412i | ||||
\(623\) | −3.17146 | + | 0.559215i | −0.127062 | + | 0.0224045i | ||||
\(624\) | −2.82008 | + | 0.283965i | −0.112894 | + | 0.0113677i | ||||
\(625\) | −10.5292 | − | 28.9288i | −0.421168 | − | 1.15715i | ||||
\(626\) | 0.315286 | + | 15.4362i | 0.0126014 | + | 0.616956i | ||||
\(627\) | 1.91400 | + | 0.215721i | 0.0764379 | + | 0.00861506i | ||||
\(628\) | 1.47514 | − | 1.23079i | 0.0588644 | − | 0.0491140i | ||||
\(629\) | −24.1385 | + | 31.4579i | −0.962464 | + | 1.25431i | ||||
\(630\) | −13.4384 | + | 11.6035i | −0.535400 | + | 0.462294i | ||||
\(631\) | 28.5626 | − | 7.65332i | 1.13706 | − | 0.304674i | 0.359290 | − | 0.933226i | \(-0.383019\pi\) |
0.777768 | + | 0.628552i | \(0.216352\pi\) | |||||||
\(632\) | −36.3278 | + | 19.7329i | −1.44504 | + | 0.784931i | ||||
\(633\) | 3.80725 | − | 3.31771i | 0.151325 | − | 0.131867i | ||||
\(634\) | 5.27659 | − | 7.17536i | 0.209560 | − | 0.284970i | ||||
\(635\) | −0.649113 | − | 2.92796i | −0.0257593 | − | 0.116193i | ||||
\(636\) | 22.2767 | − | 25.0994i | 0.883328 | − | 0.995257i | ||||
\(637\) | 0.545160 | + | 1.72903i | 0.0216000 | + | 0.0685066i | ||||
\(638\) | −1.66194 | − | 1.11383i | −0.0657969 | − | 0.0440969i | ||||
\(639\) | −23.7832 | − | 26.2853i | −0.940848 | − | 1.03983i | ||||
\(640\) | −26.6220 | + | 12.8070i | −1.05233 | + | 0.506241i | ||||
\(641\) | −25.7436 | − | 9.36989i | −1.01681 | − | 0.370088i | −0.220765 | − | 0.975327i | \(-0.570855\pi\) |
−0.796044 | + | 0.605239i | \(0.793078\pi\) | |||||||
\(642\) | −0.468692 | + | 0.425575i | −0.0184978 | + | 0.0167961i | ||||
\(643\) | 8.02344 | − | 4.17674i | 0.316414 | − | 0.164715i | −0.296138 | − | 0.955145i | \(-0.595699\pi\) |
0.612551 | + | 0.790431i | \(0.290143\pi\) | |||||||
\(644\) | 0.307104 | − | 0.0671853i | 0.0121016 | − | 0.00264747i | ||||
\(645\) | −10.0829 | + | 16.4987i | −0.397013 | + | 0.649634i | ||||
\(646\) | 9.24757 | − | 31.5631i | 0.363841 | − | 1.24183i | ||||
\(647\) | −17.5454 | + | 17.5454i | −0.689781 | + | 0.689781i | −0.962183 | − | 0.272402i | \(-0.912182\pi\) |
0.272402 | + | 0.962183i | \(0.412182\pi\) | |||||||
\(648\) | −7.53242 | + | 24.3159i | −0.295901 | + | 0.955219i | ||||
\(649\) | 1.47642 | + | 1.47642i | 0.0579547 | + | 0.0579547i | ||||
\(650\) | −0.923036 | + | 0.504722i | −0.0362045 | + | 0.0197968i | ||||
\(651\) | 0.336007 | + | 0.205345i | 0.0131691 | + | 0.00804810i | ||||
\(652\) | −1.20896 | + | 6.74631i | −0.0473467 | + | 0.264206i | ||||
\(653\) | −6.37177 | − | 12.2401i | −0.249347 | − | 0.478991i | 0.729393 | − | 0.684094i | \(-0.239802\pi\) |
−0.978740 | + | 0.205104i | \(0.934247\pi\) | |||||||
\(654\) | −0.561659 | + | 11.6491i | −0.0219626 | + | 0.455515i | ||||
\(655\) | 9.11498 | − | 25.0432i | 0.356152 | − | 0.978518i | ||||
\(656\) | 21.5089 | − | 36.7793i | 0.839783 | − | 1.43599i | ||||
\(657\) | −1.63994 | − | 7.62431i | −0.0639803 | − | 0.297452i | ||||
\(658\) | −2.37805 | − | 12.0430i | −0.0927059 | − | 0.469484i | ||||
\(659\) | −31.7569 | + | 10.0129i | −1.23707 | + | 0.390047i | −0.847424 | − | 0.530917i | \(-0.821848\pi\) |
−0.389648 | + | 0.920964i | \(0.627403\pi\) | |||||||
\(660\) | 0.968472 | − | 2.79832i | 0.0376977 | − | 0.108924i | ||||
\(661\) | 13.1318 | − | 2.91124i | 0.510767 | − | 0.113234i | 0.0464800 | − | 0.998919i | \(-0.485200\pi\) |
0.464287 | + | 0.885685i | \(0.346311\pi\) | |||||||
\(662\) | −0.878198 | − | 5.75914i | −0.0341321 | − | 0.223835i | ||||
\(663\) | −3.18712 | − | 3.65739i | −0.123778 | − | 0.142041i | ||||
\(664\) | 3.18023 | + | 30.2055i | 0.123417 | + | 1.17220i | ||||
\(665\) | −3.67930 | − | 13.7313i | −0.142677 | − | 0.532479i | ||||
\(666\) | 10.6980 | + | 22.1209i | 0.414541 | + | 0.857169i | ||||
\(667\) | −0.336249 | − | 0.258013i | −0.0130196 | − | 0.00999029i | ||||
\(668\) | 28.6501 | − | 8.94558i | 1.10851 | − | 0.346115i | ||||
\(669\) | 3.70470 | − | 32.8703i | 0.143232 | − | 1.27084i | ||||
\(670\) | 28.1787 | + | 27.0507i | 1.08864 | + | 1.04506i | ||||
\(671\) | 0.464436 | − | 0.169041i | 0.0179293 | − | 0.00652575i | ||||
\(672\) | −14.7006 | − | 5.51973i | −0.567089 | − | 0.212928i | ||||
\(673\) | −4.02073 | − | 22.8027i | −0.154988 | − | 0.878979i | −0.958797 | − | 0.284092i | \(-0.908308\pi\) |
0.803809 | − | 0.594887i | \(-0.202803\pi\) | |||||||
\(674\) | 28.0610 | + | 1.87852i | 1.08087 | + | 0.0723577i | ||||
\(675\) | 0.939818 | + | 9.40154i | 0.0361736 | + | 0.361865i | ||||
\(676\) | 15.5672 | + | 20.4051i | 0.598738 | + | 0.784812i | ||||
\(677\) | −9.85137 | − | 15.4635i | −0.378619 | − | 0.594312i | 0.599999 | − | 0.800001i | \(-0.295168\pi\) |
−0.978618 | + | 0.205689i | \(0.934057\pi\) | |||||||
\(678\) | −7.62215 | − | 2.81353i | −0.292727 | − | 0.108053i | ||||
\(679\) | −5.60126 | + | 12.0119i | −0.214957 | + | 0.460976i | ||||
\(680\) | −44.2288 | − | 24.5060i | −1.69610 | − | 0.939763i | ||||
\(681\) | −27.0905 | + | 16.3224i | −1.03811 | + | 0.625475i | ||||
\(682\) | −0.0656584 | − | 0.00152427i | −0.00251419 | − | 5.83674e-5i | ||||
\(683\) | −11.6932 | + | 15.2388i | −0.447427 | + | 0.583098i | −0.961554 | − | 0.274616i | \(-0.911449\pi\) |
0.514127 | + | 0.857714i | \(0.328116\pi\) | |||||||
\(684\) | −14.9012 | − | 13.9057i | −0.569762 | − | 0.531698i | ||||
\(685\) | 9.51919 | − | 7.30433i | 0.363709 | − | 0.279084i | ||||
\(686\) | −3.97714 | + | 25.6024i | −0.151848 | + | 0.977503i | ||||
\(687\) | 10.3893 | − | 5.08283i | 0.396378 | − | 0.193922i | ||||
\(688\) | −17.0802 | − | 0.841213i | −0.651178 | − | 0.0320710i | ||||
\(689\) | 3.90307 | + | 0.688217i | 0.148695 | + | 0.0262190i | ||||
\(690\) | 0.242692 | − | 0.578462i | 0.00923914 | − | 0.0220217i | ||||
\(691\) | −35.2589 | + | 11.1171i | −1.34131 | + | 0.422914i | −0.884455 | − | 0.466625i | \(-0.845470\pi\) |
−0.456858 | + | 0.889540i | \(0.651025\pi\) | |||||||
\(692\) | −40.3461 | + | 23.1440i | −1.53373 | + | 0.879804i | ||||
\(693\) | 1.43066 | − | 0.656185i | 0.0543461 | − | 0.0249264i | ||||
\(694\) | −0.211296 | + | 0.240260i | −0.00802069 | + | 0.00912016i | ||||
\(695\) | 2.68442 | + | 5.75675i | 0.101826 | + | 0.218366i | ||||
\(696\) | 7.09468 | + | 19.9464i | 0.268923 | + | 0.756066i | ||||
\(697\) | 72.6478 | − | 6.35586i | 2.75173 | − | 0.240745i | ||||
\(698\) | −12.8860 | − | 1.42944i | −0.487743 | − | 0.0541049i | ||||
\(699\) | −8.19106 | − | 15.0425i | −0.309814 | − | 0.568960i | ||||
\(700\) | −5.82349 | + | 0.237989i | −0.220107 | + | 0.00899516i | ||||
\(701\) | 5.66519 | − | 13.6770i | 0.213971 | − | 0.516572i | −0.780055 | − | 0.625710i | \(-0.784809\pi\) |
0.994027 | + | 0.109138i | \(0.0348092\pi\) | |||||||
\(702\) | −2.91210 | + | 0.746546i | −0.109910 | + | 0.0281766i | ||||
\(703\) | −19.6741 | −0.742022 | ||||||||
\(704\) | 2.58285 | − | 0.433178i | 0.0973449 | − | 0.0163260i | ||||
\(705\) | −22.3898 | − | 9.93603i | −0.843248 | − | 0.374213i | ||||
\(706\) | 0.793454 | + | 2.73641i | 0.0298620 | + | 0.102986i | ||||
\(707\) | −9.01862 | + | 4.69480i | −0.339180 | + | 0.176566i | ||||
\(708\) | −3.23134 | − | 21.8569i | −0.121441 | − | 0.821433i | ||||
\(709\) | −17.9205 | + | 0.782427i | −0.673019 | + | 0.0293846i | −0.377580 | − | 0.925977i | \(-0.623244\pi\) |
−0.295439 | + | 0.955362i | \(0.595466\pi\) | |||||||
\(710\) | −2.79308 | − | 43.5445i | −0.104822 | − | 1.63419i | ||||
\(711\) | −34.9552 | + | 26.4739i | −1.31092 | + | 0.992848i | ||||
\(712\) | −5.67281 | + | 0.347989i | −0.212597 | + | 0.0130414i | ||||
\(713\) | −0.0138602 | − | 0.00121261i | −0.000519070 | − | 4.54127e-5i | ||||
\(714\) | −6.83812 | − | 25.9921i | −0.255910 | − | 0.972730i | ||||
\(715\) | 0.341418 | − | 0.0756904i | 0.0127683 | − | 0.00283066i | ||||
\(716\) | −27.3051 | + | 32.3572i | −1.02044 | + | 1.20925i | ||||
\(717\) | 28.9378 | − | 19.2041i | 1.08070 | − | 0.717189i | ||||
\(718\) | −15.0424 | − | 2.33673i | −0.561378 | − | 0.0872059i | ||||
\(719\) | 17.1293 | + | 9.88960i | 0.638815 | + | 0.368820i | 0.784158 | − | 0.620562i | \(-0.213095\pi\) |
−0.145343 | + | 0.989381i | \(0.546429\pi\) | |||||||
\(720\) | −25.8793 | + | 17.6665i | −0.964463 | + | 0.658392i | ||||
\(721\) | 14.5527 | − | 8.40203i | 0.541972 | − | 0.312908i | ||||
\(722\) | −9.83896 | + | 3.81038i | −0.366168 | + | 0.141808i | ||||
\(723\) | 14.5047 | + | 33.2482i | 0.539437 | + | 1.23651i | ||||
\(724\) | 16.4691 | − | 35.0625i | 0.612069 | − | 1.30309i | ||||
\(725\) | 5.30868 | + | 5.79340i | 0.197159 | + | 0.215162i | ||||
\(726\) | 15.4033 | − | 21.7867i | 0.571669 | − | 0.808582i | ||||
\(727\) | 6.08699 | − | 8.69312i | 0.225754 | − | 0.322410i | −0.690256 | − | 0.723565i | \(-0.742502\pi\) |
0.916010 | + | 0.401155i | \(0.131391\pi\) | |||||||
\(728\) | −0.354175 | − | 1.82032i | −0.0131266 | − | 0.0674656i | ||||
\(729\) | −4.02947 | + | 26.6976i | −0.149240 | + | 0.988801i | ||||
\(730\) | 4.25781 | − | 8.60372i | 0.157589 | − | 0.318438i | ||||
\(731\) | −15.7266 | − | 24.6858i | −0.581669 | − | 0.913038i | ||||
\(732\) | −5.01223 | − | 1.49328i | −0.185257 | − | 0.0551934i | ||||
\(733\) | −1.64703 | + | 37.7232i | −0.0608344 | + | 1.39334i | 0.685648 | + | 0.727933i | \(0.259519\pi\) |
−0.746483 | + | 0.665405i | \(0.768259\pi\) | |||||||
\(734\) | 25.6748 | + | 24.6470i | 0.947673 | + | 0.909736i | ||||
\(735\) | 14.4342 | + | 13.9051i | 0.532414 | + | 0.512899i | ||||
\(736\) | 0.551917 | − | 0.0565535i | 0.0203439 | − | 0.00208459i | ||||
\(737\) | −1.73139 | − | 2.99885i | −0.0637765 | − | 0.110464i | ||||
\(738\) | 16.7027 | − | 41.9915i | 0.614835 | − | 1.54573i | ||||
\(739\) | −10.8997 | − | 14.2048i | −0.400952 | − | 0.522530i | 0.548624 | − | 0.836069i | \(-0.315152\pi\) |
−0.949575 | + | 0.313539i | \(0.898485\pi\) | |||||||
\(740\) | −6.62885 | + | 29.5111i | −0.243681 | + | 1.08485i | ||||
\(741\) | 0.477023 | − | 2.35929i | 0.0175239 | − | 0.0866708i | ||||
\(742\) | 17.6892 | + | 13.0082i | 0.649391 | + | 0.477547i | ||||
\(743\) | −18.9884 | − | 27.1182i | −0.696616 | − | 0.994871i | −0.999129 | − | 0.0417254i | \(-0.986715\pi\) |
0.302513 | − | 0.953145i | \(-0.402174\pi\) | |||||||
\(744\) | 0.548238 | + | 0.427101i | 0.0200994 | + | 0.0156583i | ||||
\(745\) | 22.0555 | + | 1.92961i | 0.808051 | + | 0.0706953i | ||||
\(746\) | 2.82819 | − | 14.1154i | 0.103547 | − | 0.516801i | ||||
\(747\) | 8.14163 | + | 31.1691i | 0.297887 | + | 1.14042i | ||||
\(748\) | 3.16076 | + | 3.17844i | 0.115569 | + | 0.116215i | ||||
\(749\) | −0.305388 | − | 0.279837i | −0.0111586 | − | 0.0102250i | ||||
\(750\) | 11.0120 | − | 17.1133i | 0.402102 | − | 0.624890i | ||||
\(751\) | −18.3912 | + | 21.9178i | −0.671104 | + | 0.799791i | −0.988934 | − | 0.148357i | \(-0.952602\pi\) |
0.317830 | + | 0.948148i | \(0.397046\pi\) | |||||||
\(752\) | −1.76777 | − | 21.5921i | −0.0644638 | − | 0.787382i | ||||
\(753\) | −8.69515 | + | 19.5936i | −0.316869 | + | 0.714030i | ||||
\(754\) | −1.56765 | + | 1.94768i | −0.0570903 | + | 0.0709302i | ||||
\(755\) | 1.21085 | + | 0.501552i | 0.0440675 | + | 0.0182534i | ||||
\(756\) | −16.2943 | − | 3.44896i | −0.592617 | − | 0.125437i | ||||
\(757\) | −3.83392 | − | 9.25590i | −0.139346 | − | 0.336411i | 0.838765 | − | 0.544493i | \(-0.183278\pi\) |
−0.978111 | + | 0.208082i | \(0.933278\pi\) | |||||||
\(758\) | 36.1235 | − | 19.7526i | 1.31207 | − | 0.717445i | ||||
\(759\) | −0.0349447 | + | 0.0432603i | −0.00126841 | + | 0.00157025i | ||||
\(760\) | −3.71278 | − | 24.8122i | −0.134677 | − | 0.900034i | ||||
\(761\) | 16.1801 | − | 1.41557i | 0.586527 | − | 0.0513145i | 0.209970 | − | 0.977708i | \(-0.432663\pi\) |
0.376557 | + | 0.926393i | \(0.377108\pi\) | |||||||
\(762\) | 1.81815 | − | 2.14689i | 0.0658644 | − | 0.0777737i | ||||
\(763\) | −7.62337 | + | 0.332843i | −0.275984 | + | 0.0120497i | ||||
\(764\) | 20.5390 | + | 49.9794i | 0.743076 | + | 1.80819i | ||||
\(765\) | −50.2804 | − | 18.6601i | −1.81789 | − | 0.674658i | ||||
\(766\) | −40.0931 | − | 26.8703i | −1.44862 | − | 0.970864i | ||||
\(767\) | 1.99884 | − | 1.67723i | 0.0721740 | − | 0.0605612i | ||||
\(768\) | −24.6770 | − | 12.6114i | −0.890454 | − | 0.455073i | ||||
\(769\) | 4.60472 | − | 26.1147i | 0.166051 | − | 0.941720i | −0.781924 | − | 0.623374i | \(-0.785762\pi\) |
0.947975 | − | 0.318346i | \(-0.103127\pi\) | |||||||
\(770\) | 1.88127 | + | 0.463125i | 0.0677962 | + | 0.0166899i | ||||
\(771\) | 36.3085 | − | 2.26495i | 1.30762 | − | 0.0815700i | ||||
\(772\) | −41.1155 | + | 26.0325i | −1.47978 | + | 0.936932i | ||||
\(773\) | 1.65826 | − | 12.5957i | 0.0596435 | − | 0.453037i | −0.935400 | − | 0.353592i | \(-0.884960\pi\) |
0.995043 | − | 0.0994449i | \(-0.0317067\pi\) | |||||||
\(774\) | −18.0451 | + | 1.83587i | −0.648619 | + | 0.0659890i | ||||
\(775\) | 0.249160 | + | 0.0667623i | 0.00895011 | + | 0.00239817i | ||||
\(776\) | −12.2180 | + | 19.9460i | −0.438600 | + | 0.716020i | ||||
\(777\) | −13.7706 | + | 8.29699i | −0.494018 | + | 0.297653i | ||||
\(778\) | 5.57836 | − | 14.2857i | 0.199994 | − | 0.512168i | ||||
\(779\) | 24.4452 | + | 26.6772i | 0.875840 | + | 0.955811i | ||||
\(780\) | −3.37821 | − | 1.51046i | −0.120959 | − | 0.0540831i | ||||
\(781\) | −0.837221 | + | 3.77646i | −0.0299581 | + | 0.135132i | ||||
\(782\) | 0.625118 | + | 0.714818i | 0.0223542 | + | 0.0255619i | ||||
\(783\) | 10.6140 | + | 19.7879i | 0.379313 | + | 0.707161i | ||||
\(784\) | −4.68325 | + | 17.0961i | −0.167259 | + | 0.610576i | ||||
\(785\) | 2.47017 | − | 0.435557i | 0.0881640 | − | 0.0155457i | ||||
\(786\) | 23.8768 | − | 7.40922i | 0.851659 | − | 0.264278i | ||||
\(787\) | −20.6294 | − | 0.900697i | −0.735357 | − | 0.0321064i | −0.327121 | − | 0.944983i | \(-0.606078\pi\) |
−0.408236 | + | 0.912876i | \(0.633856\pi\) | |||||||
\(788\) | −46.6404 | − | 21.9073i | −1.66149 | − | 0.780416i | ||||
\(789\) | 13.2861 | + | 16.6614i | 0.472999 | + | 0.593162i | ||||
\(790\) | −53.9604 | − | 1.25270i | −1.91983 | − | 0.0445692i | ||||
\(791\) | 1.37586 | − | 5.13479i | 0.0489201 | − | 0.182572i | ||||
\(792\) | 2.63959 | − | 0.865268i | 0.0937937 | − | 0.0307460i | ||||
\(793\) | −0.159858 | − | 0.596599i | −0.00567673 | − | 0.0211858i | ||||
\(794\) | −6.84791 | − | 28.1551i | −0.243023 | − | 0.999187i | ||||
\(795\) | 41.5339 | − | 13.9531i | 1.47306 | − | 0.494866i | ||||
\(796\) | −2.73830 | − | 5.29623i | −0.0970563 | − | 0.187720i | ||||
\(797\) | 34.5518 | + | 22.0119i | 1.22389 | + | 0.779702i | 0.981683 | − | 0.190523i | \(-0.0610183\pi\) |
0.242205 | + | 0.970225i | \(0.422129\pi\) | |||||||
\(798\) | 8.16606 | − | 10.5427i | 0.289075 | − | 0.373206i | ||||
\(799\) | 28.4052 | − | 23.8348i | 1.00490 | − | 0.843213i | ||||
\(800\) | −10.2591 | − | 0.744289i | −0.362716 | − | 0.0263146i | ||||
\(801\) | −5.89344 | + | 1.26765i | −0.208234 | + | 0.0447900i | ||||
\(802\) | 9.93090 | + | 20.2089i | 0.350672 | + | 0.713600i | ||||
\(803\) | −0.574932 | + | 0.627428i | −0.0202889 | + | 0.0221415i | ||||
\(804\) | −4.20537 | + | 36.4001i | −0.148312 | + | 1.28373i | ||||
\(805\) | 0.391441 | + | 0.123421i | 0.0137965 | + | 0.00435001i | ||||
\(806\) | −0.00904890 | + | 0.0815737i | −0.000318734 | + | 0.00287331i | ||||
\(807\) | −7.18227 | + | 45.7060i | −0.252828 | + | 1.60893i | ||||
\(808\) | −16.7509 | + | 6.43353i | −0.589294 | + | 0.226331i | ||||
\(809\) | −19.6654 | − | 19.6654i | −0.691399 | − | 0.691399i | 0.271141 | − | 0.962540i | \(-0.412599\pi\) |
−0.962540 | + | 0.271141i | \(0.912599\pi\) | |||||||
\(810\) | −24.3271 | + | 22.6443i | −0.854767 | + | 0.795640i | ||||
\(811\) | 9.38549 | + | 22.6586i | 0.329569 | + | 0.795651i | 0.998624 | + | 0.0524376i | \(0.0166991\pi\) |
−0.669055 | + | 0.743213i | \(0.733301\pi\) | |||||||
\(812\) | −12.5700 | + | 5.81886i | −0.441120 | + | 0.204202i | ||||
\(813\) | −27.8498 | + | 6.72190i | −0.976735 | + | 0.235747i | ||||
\(814\) | 1.29297 | − | 2.34901i | 0.0453187 | − | 0.0823326i | ||||
\(815\) | −5.75184 | + | 6.85478i | −0.201478 | + | 0.240112i | ||||
\(816\) | −6.80621 | − | 46.9419i | −0.238265 | − | 1.64330i | ||||
\(817\) | 4.96708 | − | 13.6470i | 0.173776 | − | 0.477446i | ||||
\(818\) | −13.5130 | + | 39.6264i | −0.472470 | + | 1.38550i | ||||
\(819\) | −0.661079 | − | 1.85253i | −0.0231000 | − | 0.0647326i | ||||
\(820\) | 48.2522 | − | 27.6793i | 1.68504 | − | 0.966603i | ||||
\(821\) | −2.99824 | − | 1.56079i | −0.104639 | − | 0.0544718i | 0.408625 | − | 0.912702i | \(-0.366008\pi\) |
−0.513264 | + | 0.858231i | \(0.671564\pi\) | |||||||
\(822\) | 10.8587 | + | 2.96254i | 0.378742 | + | 0.103331i | ||||
\(823\) | −11.7510 | + | 8.22816i | −0.409615 | + | 0.286816i | −0.760167 | − | 0.649728i | \(-0.774883\pi\) |
0.350552 | + | 0.936543i | \(0.385994\pi\) | |||||||
\(824\) | 27.1946 | − | 11.8304i | 0.947369 | − | 0.412131i | ||||
\(825\) | 0.777304 | − | 0.677358i | 0.0270623 | − | 0.0235826i | ||||
\(826\) | 14.0465 | − | 3.41640i | 0.488740 | − | 0.118872i | ||||
\(827\) | −3.80742 | + | 28.9202i | −0.132397 | + | 1.00566i | 0.788276 | + | 0.615322i | \(0.210974\pi\) |
−0.920673 | + | 0.390334i | \(0.872360\pi\) | |||||||
\(828\) | 0.569771 | − | 0.147133i | 0.0198009 | − | 0.00511322i | ||||
\(829\) | −52.5178 | + | 6.91410i | −1.82402 | + | 0.240136i | −0.963202 | − | 0.268780i | \(-0.913380\pi\) |
−0.860816 | + | 0.508916i | \(0.830046\pi\) | |||||||
\(830\) | −16.0212 | + | 36.2737i | −0.556104 | + | 1.25908i | ||||
\(831\) | 6.21824 | − | 1.79122i | 0.215708 | − | 0.0621367i | ||||
\(832\) | −0.257957 | − | 3.26264i | −0.00894306 | − | 0.113112i | ||||
\(833\) | −28.5098 | + | 10.3767i | −0.987807 | + | 0.359532i | ||||
\(834\) | −2.77532 | + | 5.27270i | −0.0961016 | + | 0.182579i | ||||
\(835\) | 38.2576 | + | 8.48151i | 1.32396 | + | 0.293515i | ||||
\(836\) | −0.296451 | + | 2.20425i | −0.0102530 | + | 0.0762355i | ||||
\(837\) | 0.642878 | + | 0.360640i | 0.0222211 | + | 0.0124655i | ||||
\(838\) | 27.0402 | + | 13.3816i | 0.934087 | + | 0.462261i | ||||
\(839\) | 33.2959 | + | 23.3140i | 1.14950 | + | 0.804889i | 0.983441 | − | 0.181227i | \(-0.0580068\pi\) |
0.166059 | + | 0.986116i | \(0.446896\pi\) | |||||||
\(840\) | −13.0626 | − | 15.8013i | −0.450702 | − | 0.545195i | ||||
\(841\) | −9.35790 | − | 4.36366i | −0.322686 | − | 0.150471i | ||||
\(842\) | −7.83233 | + | 20.0580i | −0.269920 | + | 0.691243i | ||||
\(843\) | 20.8431 | − | 3.14089i | 0.717876 | − | 0.108178i | ||||
\(844\) | 3.73577 | + | 4.47741i | 0.128590 | + | 0.154119i | ||||
\(845\) | 4.37374 | + | 33.2219i | 0.150461 | + | 1.14287i | ||||
\(846\) | −5.28977 | − | 22.3613i | −0.181866 | − | 0.768799i | ||||
\(847\) | 15.1186 | + | 8.72872i | 0.519481 | + | 0.299923i | ||||
\(848\) | 28.4238 | + | 26.3388i | 0.976077 | + | 0.904477i | ||||
\(849\) | −29.5706 | + | 14.4670i | −1.01486 | + | 0.496506i | ||||
\(850\) | −9.11228 | − | 15.0639i | −0.312549 | − | 0.516687i | ||||
\(851\) | 0.305203 | − | 0.479072i | 0.0104622 | − | 0.0164224i | ||||
\(852\) | 30.9339 | − | 26.8050i | 1.05978 | − | 0.918323i | ||||
\(853\) | −13.9428 | − | 7.25818i | −0.477393 | − | 0.248515i | 0.206019 | − | 0.978548i | \(-0.433949\pi\) |
−0.683412 | + | 0.730033i | \(0.739505\pi\) | |||||||
\(854\) | 0.672250 | − | 3.35517i | 0.0230039 | − | 0.114812i | ||||
\(855\) | −7.84184 | − | 25.4286i | −0.268185 | − | 0.869641i | ||||
\(856\) | −0.479688 | − | 0.551617i | −0.0163954 | − | 0.0188539i | ||||
\(857\) | −22.8655 | + | 10.6623i | −0.781070 | + | 0.364219i | −0.771904 | − | 0.635739i | \(-0.780695\pi\) |
−0.00916585 | + | 0.999958i | \(0.502918\pi\) | |||||||
\(858\) | 0.250340 | + | 0.212006i | 0.00854648 | + | 0.00723778i | ||||
\(859\) | −44.9123 | − | 14.1608i | −1.53239 | − | 0.483161i | −0.587133 | − | 0.809490i | \(-0.699744\pi\) |
−0.945256 | + | 0.326330i | \(0.894188\pi\) | |||||||
\(860\) | −18.7968 | − | 12.0487i | −0.640967 | − | 0.410858i | ||||
\(861\) | 28.3605 | + | 8.36334i | 0.966523 | + | 0.285022i | ||||
\(862\) | −0.861849 | − | 7.97220i | −0.0293547 | − | 0.271534i | ||||
\(863\) | −24.1497 | −0.822066 | −0.411033 | − | 0.911621i | \(-0.634832\pi\) | ||||
−0.411033 | + | 0.911621i | \(0.634832\pi\) | |||||||
\(864\) | −27.8845 | − | 9.29806i | −0.948650 | − | 0.316326i | ||||
\(865\) | −60.7272 | −2.06479 | ||||||||
\(866\) | −3.33541 | − | 30.8529i | −0.113342 | − | 1.04842i | ||||
\(867\) | 37.4879 | − | 35.6612i | 1.27315 | − | 1.21112i | ||||
\(868\) | −0.245381 | + | 0.382811i | −0.00832878 | + | 0.0129935i | ||||
\(869\) | 4.56342 | + | 1.43884i | 0.154803 | + | 0.0488094i | ||||
\(870\) | −4.92333 | + | 27.1982i | −0.166916 | + | 0.922107i | ||||
\(871\) | −3.92192 | + | 1.82882i | −0.132889 | + | 0.0619672i | ||||
\(872\) | −13.4342 | − | 0.936979i | −0.454939 | − | 0.0317301i | ||||
\(873\) | −9.63841 | + | 22.8608i | −0.326211 | + | 0.773719i | ||||
\(874\) | −0.0925638 | + | 0.461982i | −0.00313102 | + | 0.0156268i | ||||
\(875\) | 11.8103 | + | 6.14806i | 0.399262 | + | 0.207842i | ||||
\(876\) | 8.84239 | − | 1.70433i | 0.298757 | − | 0.0575841i | ||||
\(877\) | 5.10752 | − | 8.01720i | 0.172469 | − | 0.270722i | −0.746224 | − | 0.665695i | \(-0.768135\pi\) |
0.918693 | + | 0.394973i | \(0.129246\pi\) | |||||||
\(878\) | −11.3650 | − | 18.7880i | −0.383551 | − | 0.634064i | ||||
\(879\) | −8.11417 | − | 5.45876i | −0.273684 | − | 0.184119i | ||||
\(880\) | 3.20648 | + | 1.18736i | 0.108091 | + | 0.0400259i | ||||
\(881\) | 46.6370 | + | 26.9259i | 1.57124 | + | 0.907156i | 0.996017 | + | 0.0891603i | \(0.0284183\pi\) |
0.575224 | + | 0.817996i | \(0.304915\pi\) | |||||||
\(882\) | −2.19057 | + | 18.6732i | −0.0737604 | + | 0.628759i | ||||
\(883\) | −5.42514 | − | 41.2081i | −0.182571 | − | 1.38676i | −0.799936 | − | 0.600085i | \(-0.795133\pi\) |
0.617366 | − | 0.786676i | \(-0.288200\pi\) | |||||||
\(884\) | 4.30118 | − | 3.58872i | 0.144664 | − | 0.120702i | ||||
\(885\) | 10.5397 | − | 26.8521i | 0.354288 | − | 0.902623i | ||||
\(886\) | −15.1811 | + | 38.8776i | −0.510019 | + | 1.30612i | ||||
\(887\) | −13.2544 | − | 6.18065i | −0.445041 | − | 0.207526i | 0.187162 | − | 0.982329i | \(-0.440071\pi\) |
−0.632202 | + | 0.774803i | \(0.717849\pi\) | |||||||
\(888\) | −25.8022 | + | 11.8022i | −0.865865 | + | 0.396056i | ||||
\(889\) | 1.50782 | + | 1.05578i | 0.0505706 | + | 0.0354099i | ||||
\(890\) | −6.65050 | − | 3.29120i | −0.222925 | − | 0.110321i | ||||
\(891\) | 2.63032 | − | 1.32741i | 0.0881192 | − | 0.0444699i | ||||
\(892\) | 37.8548 | + | 5.09112i | 1.26747 | + | 0.170463i | ||||
\(893\) | 17.9621 | + | 3.98210i | 0.601078 | + | 0.133256i | ||||
\(894\) | 11.0793 | + | 17.5666i | 0.370547 | + | 0.587517i | ||||
\(895\) | −51.9436 | + | 18.9059i | −1.73628 | + | 0.631955i | ||||
\(896\) | 6.73635 | − | 16.8342i | 0.225046 | − | 0.562391i | ||||
\(897\) | 0.0500497 | + | 0.0482152i | 0.00167111 | + | 0.00160986i | ||||
\(898\) | 0.496863 | − | 1.12495i | 0.0165805 | − | 0.0375400i | ||||
\(899\) | 0.607791 | − | 0.0800173i | 0.0202710 | − | 0.00266873i | ||||
\(900\) | −10.8767 | + | 0.852056i | −0.362558 | + | 0.0284019i | ||||
\(901\) | −8.65723 | + | 65.7582i | −0.288414 | + | 2.19072i | ||||
\(902\) | −4.79169 | + | 1.16544i | −0.159546 | + | 0.0388049i | ||||
\(903\) | −2.27857 | − | 11.6467i | −0.0758260 | − | 0.387579i | ||||
\(904\) | 3.43685 | − | 8.72957i | 0.114308 | − | 0.290341i | ||||
\(905\) | 41.4293 | − | 29.0091i | 1.37716 | − | 0.964296i | ||||
\(906\) | 0.312807 | + | 1.18900i | 0.0103923 | + | 0.0395018i | ||||
\(907\) | 38.2219 | + | 19.8971i | 1.26914 | + | 0.660672i | 0.957199 | − | 0.289430i | \(-0.0934658\pi\) |
0.311940 | + | 0.950102i | \(0.399021\pi\) | |||||||
\(908\) | −18.1720 | − | 31.6786i | −0.603060 | − | 1.05129i | ||||
\(909\) | −16.5421 | + | 9.41215i | −0.548668 | + | 0.312181i | ||||
\(910\) | 0.781457 | − | 2.29160i | 0.0259051 | − | 0.0759657i | ||||
\(911\) | 3.45665 | − | 9.49707i | 0.114524 | − | 0.314652i | −0.869167 | − | 0.494519i | \(-0.835344\pi\) |
0.983691 | + | 0.179867i | \(0.0575666\pi\) | |||||||
\(912\) | 16.4224 | − | 16.8580i | 0.543799 | − | 0.558224i | ||||
\(913\) | 2.25962 | − | 2.69291i | 0.0747826 | − | 0.0891224i | ||||
\(914\) | −12.0563 | + | 21.9033i | −0.398787 | + | 0.724495i | ||||
\(915\) | −4.70624 | − | 4.94730i | −0.155583 | − | 0.163553i | ||||
\(916\) | 5.61042 | + | 12.1197i | 0.185374 | + | 0.400447i | ||||
\(917\) | 6.25956 | + | 15.1119i | 0.206709 | + | 0.499040i | ||||
\(918\) | −14.6073 | − | 48.1428i | −0.482114 | − | 1.58895i | ||||
\(919\) | 34.6917 | + | 34.6917i | 1.14437 | + | 1.14437i | 0.987641 | + | 0.156732i | \(0.0500960\pi\) |
0.156732 | + | 0.987641i | \(0.449904\pi\) | |||||||
\(920\) | 0.661784 | + | 0.294503i | 0.0218184 | + | 0.00970946i | ||||
\(921\) | 13.6062 | + | 10.9908i | 0.448340 | + | 0.362159i | ||||
\(922\) | −5.42935 | + | 48.9443i | −0.178806 | + | 1.61190i | ||||
\(923\) | 4.61022 | + | 1.45360i | 0.151747 | + | 0.0478457i | ||||
\(924\) | 0.722082 | + | 1.66785i | 0.0237547 | + | 0.0548684i | ||||
\(925\) | −7.11482 | + | 7.76446i | −0.233934 | + | 0.255294i | ||||
\(926\) | 20.2479 | + | 41.2033i | 0.665386 | + | 1.35403i | ||||
\(927\) | 26.6352 | − | 16.7335i | 0.874814 | − | 0.549601i | ||||
\(928\) | −23.2026 | + | 7.69622i | −0.761661 | + | 0.252641i | ||||
\(929\) | 35.6447 | − | 29.9095i | 1.16947 | − | 0.981298i | 0.169475 | − | 0.985535i | \(-0.445793\pi\) |
0.999991 | + | 0.00423619i | \(0.00134842\pi\) | |||||||
\(930\) | 0.343414 | + | 0.839850i | 0.0112610 | + | 0.0275398i | ||||
\(931\) | −12.6961 | − | 8.08829i | −0.416097 | − | 0.265083i | ||||
\(932\) | 17.5685 | − | 9.08340i | 0.575475 | − | 0.297537i | ||||
\(933\) | 34.2118 | + | 30.1942i | 1.12005 | + | 0.988512i | ||||
\(934\) | −11.8049 | − | 48.5355i | −0.386267 | − | 1.58813i | ||||
\(935\) | 1.51470 | + | 5.65294i | 0.0495360 | + | 0.184871i | ||||
\(936\) | −0.789698 | − | 3.38033i | −0.0258121 | − | 0.110490i | ||||
\(937\) | 10.1105 | − | 37.7328i | 0.330295 | − | 1.23268i | −0.578586 | − | 0.815622i | \(-0.696395\pi\) |
0.908881 | − | 0.417056i | \(-0.136938\pi\) | |||||||
\(938\) | −23.9679 | − | 0.556419i | −0.782578 | − | 0.0181677i | ||||
\(939\) | −18.6983 | + | 2.81768i | −0.610196 | + | 0.0919514i | ||||
\(940\) | 12.0252 | − | 25.6014i | 0.392217 | − | 0.835025i | ||||
\(941\) | −18.7352 | − | 0.817998i | −0.610751 | − | 0.0266660i | −0.263844 | − | 0.964565i | \(-0.584990\pi\) |
−0.346907 | + | 0.937899i | \(0.612768\pi\) | |||||||
\(942\) | 1.72753 | + | 1.59749i | 0.0562859 | + | 0.0520490i | ||||
\(943\) | −1.02882 | + | 0.181408i | −0.0335029 | + | 0.00590747i | ||||
\(944\) | 25.3124 | − | 3.18892i | 0.823849 | − | 0.103790i | ||||
\(945\) | −16.2126 | − | 14.4914i | −0.527396 | − | 0.471405i | ||||
\(946\) | 1.30296 | + | 1.48992i | 0.0423628 | + | 0.0484416i | ||||
\(947\) | 10.2381 | − | 46.1809i | 0.332692 | − | 1.50068i | −0.458270 | − | 0.888813i | \(-0.651531\pi\) |
0.790962 | − | 0.611865i | \(-0.209580\pi\) | |||||||
\(948\) | −29.6964 | − | 41.0093i | −0.964495 | − | 1.33192i | ||||
\(949\) | 0.718481 | + | 0.784084i | 0.0233229 | + | 0.0254524i | ||||
\(950\) | 3.17738 | − | 8.13700i | 0.103088 | − | 0.263999i | ||||
\(951\) | 9.54708 | + | 5.27690i | 0.309585 | + | 0.171115i | ||||
\(952\) | 30.1756 | − | 7.25027i | 0.977996 | − | 0.234982i | ||||
\(953\) | 50.3838 | + | 13.5003i | 1.63209 | + | 0.437317i | 0.954522 | − | 0.298142i | \(-0.0963669\pi\) |
0.677569 | + | 0.735459i | \(0.263034\pi\) | |||||||
\(954\) | 33.9981 | + | 23.0971i | 1.10073 | + | 0.747797i | ||||
\(955\) | −9.20837 | + | 69.9445i | −0.297976 | + | 2.26335i | ||||
\(956\) | 21.4530 | + | 33.8826i | 0.693839 | + | 1.09584i | ||||
\(957\) | 1.09066 | − | 2.19419i | 0.0352560 | − | 0.0709281i | ||||
\(958\) | −39.6533 | − | 9.76172i | −1.28114 | − | 0.315387i | ||||
\(959\) | −1.27880 | + | 7.25246i | −0.0412947 | + | 0.234194i | ||||
\(960\) | −19.7537 | − | 30.3136i | −0.637549 | − | 0.978366i | ||||
\(961\) | −23.7320 | + | 19.9135i | −0.765547 | + | 0.642370i | ||||
\(962\) | −2.78351 | − | 1.86550i | −0.0897439 | − | 0.0601461i | ||||
\(963\) | −0.590807 | − | 0.502123i | −0.0190385 | − | 0.0161807i | ||||
\(964\) | −38.7422 | + | 15.9211i | −1.24780 | + | 0.512784i | ||||
\(965\) | −63.4751 | + | 2.77138i | −2.04333 | + | 0.0892139i | ||||
\(966\) | 0.130039 | + | 0.362395i | 0.00418393 | + | 0.0116599i | ||||
\(967\) | 50.8382 | − | 4.44777i | 1.63485 | − | 0.143031i | 0.767607 | − | 0.640921i | \(-0.221447\pi\) |
0.867240 | + | 0.497890i | \(0.165892\pi\) | |||||||
\(968\) | 24.7698 | + | 18.3218i | 0.796131 | + | 0.588884i | ||||
\(969\) | 39.7934 | + | 6.25317i | 1.27835 | + | 0.200881i | ||||
\(970\) | −26.7946 | + | 14.6515i | −0.860324 | + | 0.470430i | ||||
\(971\) | −18.3885 | − | 44.3937i | −0.590114 | − | 1.42466i | −0.883392 | − | 0.468635i | \(-0.844746\pi\) |
0.293278 | − | 0.956027i | \(-0.405254\pi\) | |||||||
\(972\) | −30.7208 | − | 5.31313i | −0.985372 | − | 0.170419i | ||||
\(973\) | −3.60178 | − | 1.49191i | −0.115468 | − | 0.0478283i | ||||
\(974\) | 10.8351 | − | 13.4617i | 0.347178 | − | 0.431342i | ||||
\(975\) | −0.758598 | − | 1.04146i | −0.0242946 | − | 0.0333534i | ||||
\(976\) | 1.84807 | − | 5.74930i | 0.0591551 | − | 0.184031i | ||||
\(977\) | 26.8410 | − | 31.9878i | 0.858718 | − | 1.02338i | −0.140726 | − | 0.990049i | \(-0.544944\pi\) |
0.999444 | − | 0.0333322i | \(-0.0106119\pi\) | |||||||
\(978\) | −8.38439 | − | 0.404252i | −0.268103 | − | 0.0129266i | ||||
\(979\) | 0.484990 | + | 0.444411i | 0.0155003 | + | 0.0142034i | ||||
\(980\) | −16.4102 | + | 16.3189i | −0.524203 | + | 0.521288i | ||||
\(981\) | −14.2369 | + | 1.15524i | −0.454550 | + | 0.0368841i | ||||
\(982\) | −2.32121 | + | 11.5851i | −0.0740728 | + | 0.369694i | ||||
\(983\) | 36.6338 | + | 3.20504i | 1.16844 | + | 0.102225i | 0.654814 | − | 0.755790i | \(-0.272747\pi\) |
0.513624 | + | 0.858015i | \(0.328303\pi\) | |||||||
\(984\) | 48.0627 | + | 20.3224i | 1.53218 | + | 0.647855i | ||||
\(985\) | −38.5881 | − | 55.1096i | −1.22952 | − | 1.75594i | ||||
\(986\) | −33.7077 | − | 24.7879i | −1.07347 | − | 0.789407i | ||||
\(987\) | 14.2517 | − | 4.78778i | 0.453636 | − | 0.152397i | ||||
\(988\) | 2.71183 | + | 0.609138i | 0.0862749 | + | 0.0193793i | ||||
\(989\) | 0.255255 | + | 0.332655i | 0.00811664 | + | 0.0105778i | ||||
\(990\) | 3.55144 | + | 0.734877i | 0.112872 | + | 0.0233559i | ||||
\(991\) | 4.29793 | + | 7.44423i | 0.136528 | + | 0.236474i | 0.926180 | − | 0.377081i | \(-0.123072\pi\) |
−0.789652 | + | 0.613555i | \(0.789739\pi\) | |||||||
\(992\) | −0.506642 | + | 0.622324i | −0.0160859 | + | 0.0197588i | ||||
\(993\) | 6.85622 | − | 1.97500i | 0.217576 | − | 0.0626746i | ||||
\(994\) | 19.3197 | + | 18.5463i | 0.612784 | + | 0.588253i | ||||
\(995\) | 0.339546 | − | 7.77688i | 0.0107643 | − | 0.246544i | ||||
\(996\) | −36.1844 | + | 8.62683i | −1.14655 | + | 0.273352i | ||||
\(997\) | 3.43478 | + | 5.39152i | 0.108780 | + | 0.170751i | 0.893449 | − | 0.449164i | \(-0.148278\pi\) |
−0.784669 | + | 0.619915i | \(0.787167\pi\) | |||||||
\(998\) | −6.72994 | + | 13.5991i | −0.213033 | + | 0.430473i | ||||
\(999\) | −25.1795 | + | 16.4824i | −0.796644 | + | 0.521480i |
(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 | 864.2.bu.a.13.6 | ✓ | 3408 | |
27.25 | even | 9 | inner | 864.2.bu.a.781.132 | yes | 3408 | |
32.5 | even | 8 | inner | 864.2.bu.a.229.132 | yes | 3408 | |
864.133 | even | 72 | inner | 864.2.bu.a.133.6 | yes | 3408 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
864.2.bu.a.13.6 | ✓ | 3408 | 1.1 | even | 1 | trivial | |
864.2.bu.a.133.6 | yes | 3408 | 864.133 | even | 72 | inner | |
864.2.bu.a.229.132 | yes | 3408 | 32.5 | even | 8 | inner | |
864.2.bu.a.781.132 | yes | 3408 | 27.25 | even | 9 | inner |