Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [260,2,Mod(3,260)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(260, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 9, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("260.3");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 260 = 2^{2} \cdot 5 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 260.bj (of order \(12\), degree \(4\), 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: | \(2.07611045255\) |
Analytic rank: | \(0\) |
Dimension: | \(144\) |
Relative dimension: | \(36\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 3.15 | ||
Character | \(\chi\) | \(=\) | 260.3 |
Dual form | 260.2.bj.c.87.15 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/260\mathbb{Z}\right)^\times\).
\(n\) | \(41\) | \(131\) | \(157\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(-1\) | \(e\left(\frac{3}{4}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.524261 | − | 1.31345i | −0.370709 | − | 0.928749i | ||||
\(3\) | 2.57196 | + | 0.689155i | 1.48492 | + | 0.397884i | 0.908019 | − | 0.418929i | \(-0.137594\pi\) |
0.576903 | + | 0.816813i | \(0.304261\pi\) | |||||||
\(4\) | −1.45030 | + | 1.37718i | −0.725150 | + | 0.688591i | ||||
\(5\) | 0.222626 | − | 2.22496i | 0.0995615 | − | 0.995031i | ||||
\(6\) | −0.443209 | − | 3.73944i | −0.180939 | − | 1.52662i | ||||
\(7\) | 1.04514 | − | 0.280044i | 0.395025 | − | 0.105847i | −0.0558377 | − | 0.998440i | \(-0.517783\pi\) |
0.450863 | + | 0.892593i | \(0.351116\pi\) | |||||||
\(8\) | 2.56919 | + | 1.18289i | 0.908348 | + | 0.418216i | ||||
\(9\) | 3.54197 | + | 2.04496i | 1.18066 | + | 0.681653i | ||||
\(10\) | −3.03908 | + | 0.874051i | −0.961043 | + | 0.276399i | ||||
\(11\) | 0.213488 | − | 0.123257i | 0.0643689 | − | 0.0371634i | −0.467470 | − | 0.884009i | \(-0.654834\pi\) |
0.531839 | + | 0.846845i | \(0.321501\pi\) | |||||||
\(12\) | −4.67921 | + | 2.54257i | −1.35077 | + | 0.733978i | ||||
\(13\) | −3.26753 | − | 1.52422i | −0.906249 | − | 0.422743i | ||||
\(14\) | −0.915750 | − | 1.22592i | −0.244744 | − | 0.327641i | ||||
\(15\) | 2.10593 | − | 5.56908i | 0.543748 | − | 1.43793i | ||||
\(16\) | 0.206743 | − | 3.99465i | 0.0516857 | − | 0.998663i | ||||
\(17\) | 1.56013 | + | 5.82248i | 0.378387 | + | 1.41216i | 0.848332 | + | 0.529464i | \(0.177607\pi\) |
−0.469945 | + | 0.882696i | \(0.655726\pi\) | |||||||
\(18\) | 0.829032 | − | 5.72429i | 0.195405 | − | 1.34923i | ||||
\(19\) | 1.97509 | − | 3.42095i | 0.453116 | − | 0.784820i | −0.545462 | − | 0.838136i | \(-0.683646\pi\) |
0.998578 | + | 0.0533160i | \(0.0169790\pi\) | |||||||
\(20\) | 2.74130 | + | 3.53345i | 0.612972 | + | 0.790104i | ||||
\(21\) | 2.88105 | 0.628697 | ||||||||
\(22\) | −0.273815 | − | 0.215786i | −0.0583776 | − | 0.0460058i | ||||
\(23\) | 2.77015 | + | 0.742260i | 0.577617 | + | 0.154772i | 0.535788 | − | 0.844353i | \(-0.320015\pi\) |
0.0418292 | + | 0.999125i | \(0.486681\pi\) | |||||||
\(24\) | 5.79267 | + | 4.81293i | 1.18242 | + | 0.982435i | ||||
\(25\) | −4.90088 | − | 0.990668i | −0.980175 | − | 0.198134i | ||||
\(26\) | −0.288951 | + | 5.09083i | −0.0566680 | + | 0.998393i | ||||
\(27\) | 2.05210 | + | 2.05210i | 0.394927 | + | 0.394927i | ||||
\(28\) | −1.13009 | + | 1.84549i | −0.213568 | + | 0.348766i | ||||
\(29\) | −3.76557 | + | 2.17405i | −0.699249 | + | 0.403712i | −0.807068 | − | 0.590459i | \(-0.798947\pi\) |
0.107818 | + | 0.994171i | \(0.465613\pi\) | |||||||
\(30\) | −8.41876 | + | 0.153624i | −1.53705 | + | 0.0280478i | ||||
\(31\) | 0.881426i | 0.158309i | 0.996862 | + | 0.0791544i | \(0.0252220\pi\) | ||||
−0.996862 | + | 0.0791544i | \(0.974778\pi\) | |||||||
\(32\) | −5.35516 | + | 1.82270i | −0.946668 | + | 0.322210i | ||||
\(33\) | 0.634025 | − | 0.169886i | 0.110370 | − | 0.0295734i | ||||
\(34\) | 6.82962 | − | 5.10165i | 1.17127 | − | 0.874927i | ||||
\(35\) | −0.390411 | − | 2.38774i | −0.0659915 | − | 0.403601i | ||||
\(36\) | −7.95320 | + | 1.91213i | −1.32553 | + | 0.318689i | ||||
\(37\) | −4.95144 | − | 1.32673i | −0.814012 | − | 0.218114i | −0.172285 | − | 0.985047i | \(-0.555115\pi\) |
−0.641727 | + | 0.766933i | \(0.721782\pi\) | |||||||
\(38\) | −5.52871 | − | 0.800705i | −0.896875 | − | 0.129892i | ||||
\(39\) | −7.35353 | − | 6.17207i | −1.17751 | − | 0.988323i | ||||
\(40\) | 3.20386 | − | 5.45301i | 0.506575 | − | 0.862196i | ||||
\(41\) | 5.89948 | + | 10.2182i | 0.921343 | + | 1.59581i | 0.797339 | + | 0.603532i | \(0.206240\pi\) |
0.124004 | + | 0.992282i | \(0.460426\pi\) | |||||||
\(42\) | −1.51042 | − | 3.78411i | −0.233063 | − | 0.583901i | ||||
\(43\) | −0.517607 | − | 1.93174i | −0.0789343 | − | 0.294587i | 0.915162 | − | 0.403086i | \(-0.132062\pi\) |
−0.994097 | + | 0.108499i | \(0.965396\pi\) | |||||||
\(44\) | −0.139874 | + | 0.472771i | −0.0210867 | + | 0.0712729i | ||||
\(45\) | 5.33848 | − | 7.42548i | 0.795814 | − | 1.10692i | ||||
\(46\) | −0.477362 | − | 4.02759i | −0.0703832 | − | 0.593836i | ||||
\(47\) | −6.04265 | − | 6.04265i | −0.881410 | − | 0.881410i | 0.112268 | − | 0.993678i | \(-0.464189\pi\) |
−0.993678 | + | 0.112268i | \(0.964189\pi\) | |||||||
\(48\) | 3.28467 | − | 10.1316i | 0.474101 | − | 1.46237i | ||||
\(49\) | −5.04829 | + | 2.91463i | −0.721184 | + | 0.416376i | ||||
\(50\) | 1.26815 | + | 6.95642i | 0.179343 | + | 0.983787i | ||||
\(51\) | 16.0504i | 2.24750i | ||||||||
\(52\) | 6.83803 | − | 2.28940i | 0.948264 | − | 0.317483i | ||||
\(53\) | −0.436944 | − | 0.436944i | −0.0600188 | − | 0.0600188i | 0.676460 | − | 0.736479i | \(-0.263513\pi\) |
−0.736479 | + | 0.676460i | \(0.763513\pi\) | |||||||
\(54\) | 1.61949 | − | 3.77117i | 0.220385 | − | 0.513191i | ||||
\(55\) | −0.226714 | − | 0.502441i | −0.0305701 | − | 0.0677491i | ||||
\(56\) | 3.01643 | + | 0.516801i | 0.403087 | + | 0.0690604i | ||||
\(57\) | 7.43741 | − | 7.43741i | 0.985109 | − | 0.985109i | ||||
\(58\) | 4.82965 | + | 3.80612i | 0.634165 | + | 0.499768i | ||||
\(59\) | −5.04198 | + | 8.73296i | −0.656409 | + | 1.13693i | 0.325129 | + | 0.945670i | \(0.394592\pi\) |
−0.981538 | + | 0.191265i | \(0.938741\pi\) | |||||||
\(60\) | 4.61541 | + | 10.9771i | 0.595847 | + | 1.41714i | ||||
\(61\) | −2.71591 | + | 4.70409i | −0.347737 | + | 0.602298i | −0.985847 | − | 0.167647i | \(-0.946383\pi\) |
0.638110 | + | 0.769945i | \(0.279716\pi\) | |||||||
\(62\) | 1.15771 | − | 0.462098i | 0.147029 | − | 0.0586864i | ||||
\(63\) | 4.27453 | + | 1.14536i | 0.538540 | + | 0.144301i | ||||
\(64\) | 5.20152 | + | 6.07817i | 0.650190 | + | 0.759771i | ||||
\(65\) | −4.11877 | + | 6.93078i | −0.510870 | + | 0.859658i | ||||
\(66\) | −0.555532 | − | 0.743695i | −0.0683812 | − | 0.0915425i | ||||
\(67\) | −3.36894 | + | 12.5731i | −0.411582 | + | 1.53604i | 0.380003 | + | 0.924985i | \(0.375923\pi\) |
−0.791585 | + | 0.611060i | \(0.790744\pi\) | |||||||
\(68\) | −10.2813 | − | 6.29577i | −1.24679 | − | 0.763474i | ||||
\(69\) | 6.61319 | + | 3.81813i | 0.796135 | + | 0.459649i | ||||
\(70\) | −2.93149 | + | 1.76458i | −0.350380 | + | 0.210908i | ||||
\(71\) | 8.10650 | + | 4.68029i | 0.962064 | + | 0.555448i | 0.896808 | − | 0.442421i | \(-0.145880\pi\) |
0.0652564 | + | 0.997869i | \(0.479213\pi\) | |||||||
\(72\) | 6.68105 | + | 9.44367i | 0.787369 | + | 1.11295i | ||||
\(73\) | −3.41850 | − | 3.41850i | −0.400105 | − | 0.400105i | 0.478165 | − | 0.878270i | \(-0.341302\pi\) |
−0.878270 | + | 0.478165i | \(0.841302\pi\) | |||||||
\(74\) | 0.853249 | + | 7.19902i | 0.0991882 | + | 0.836869i | ||||
\(75\) | −11.9221 | − | 5.92542i | −1.37665 | − | 0.684209i | ||||
\(76\) | 1.84680 | + | 7.68146i | 0.211842 | + | 0.881124i | ||||
\(77\) | 0.188607 | − | 0.188607i | 0.0214937 | − | 0.0214937i | ||||
\(78\) | −4.25154 | + | 12.8943i | −0.481392 | + | 1.45999i | ||||
\(79\) | 15.3665 | 1.72887 | 0.864436 | − | 0.502744i | \(-0.167676\pi\) | ||||
0.864436 | + | 0.502744i | \(0.167676\pi\) | |||||||
\(80\) | −8.84191 | − | 1.34931i | −0.988556 | − | 0.150857i | ||||
\(81\) | −2.27117 | − | 3.93378i | −0.252352 | − | 0.437086i | ||||
\(82\) | 10.3282 | − | 13.1057i | 1.14056 | − | 1.44728i | ||||
\(83\) | 10.8773 | − | 10.8773i | 1.19394 | − | 1.19394i | 0.217983 | − | 0.975953i | \(-0.430052\pi\) |
0.975953 | − | 0.217983i | \(-0.0699477\pi\) | |||||||
\(84\) | −4.17839 | + | 3.96773i | −0.455899 | + | 0.432915i | ||||
\(85\) | 13.3021 | − | 2.17499i | 1.44282 | − | 0.235910i | ||||
\(86\) | −2.26588 | + | 1.69259i | −0.244336 | + | 0.182516i | ||||
\(87\) | −11.1832 | + | 2.99652i | −1.19896 | + | 0.321261i | ||||
\(88\) | 0.694291 | − | 0.0641383i | 0.0740117 | − | 0.00683717i | ||||
\(89\) | 1.31983 | − | 0.762004i | 0.139902 | − | 0.0807723i | −0.428415 | − | 0.903582i | \(-0.640928\pi\) |
0.568317 | + | 0.822810i | \(0.307595\pi\) | |||||||
\(90\) | −12.5517 | − | 3.11894i | −1.32307 | − | 0.328765i | ||||
\(91\) | −3.84187 | − | 0.677972i | −0.402738 | − | 0.0710708i | ||||
\(92\) | −5.03978 | + | 2.73850i | −0.525433 | + | 0.285509i | ||||
\(93\) | −0.607439 | + | 2.26699i | −0.0629885 | + | 0.235076i | ||||
\(94\) | −4.76879 | + | 11.1046i | −0.491863 | + | 1.14536i | ||||
\(95\) | −7.17176 | − | 5.15608i | −0.735807 | − | 0.529002i | ||||
\(96\) | −15.0294 | + | 0.997365i | −1.53393 | + | 0.101793i | ||||
\(97\) | −3.34576 | − | 12.4865i | −0.339710 | − | 1.26782i | −0.898672 | − | 0.438622i | \(-0.855467\pi\) |
0.558962 | − | 0.829194i | \(-0.311200\pi\) | |||||||
\(98\) | 6.47484 | + | 5.10264i | 0.654058 | + | 0.515445i | ||||
\(99\) | 1.00822 | 0.101330 | ||||||||
\(100\) | 8.47207 | − | 5.31263i | 0.847207 | − | 0.531263i | ||||
\(101\) | −0.881360 | − | 1.52656i | −0.0876986 | − | 0.151898i | 0.818839 | − | 0.574023i | \(-0.194618\pi\) |
−0.906538 | + | 0.422124i | \(0.861285\pi\) | |||||||
\(102\) | 21.0814 | − | 8.41459i | 2.08737 | − | 0.833168i | ||||
\(103\) | −6.34127 | + | 6.34127i | −0.624824 | + | 0.624824i | −0.946761 | − | 0.321937i | \(-0.895666\pi\) |
0.321937 | + | 0.946761i | \(0.395666\pi\) | |||||||
\(104\) | −6.59192 | − | 7.78117i | −0.646391 | − | 0.763006i | ||||
\(105\) | 0.641397 | − | 6.41021i | 0.0625940 | − | 0.625573i | ||||
\(106\) | −0.344831 | + | 0.802976i | −0.0334929 | + | 0.0779919i | ||||
\(107\) | −3.05639 | + | 11.4066i | −0.295472 | + | 1.10272i | 0.645370 | + | 0.763870i | \(0.276703\pi\) |
−0.940842 | + | 0.338846i | \(0.889963\pi\) | |||||||
\(108\) | −5.80228 | − | 0.150048i | −0.558324 | − | 0.0144383i | ||||
\(109\) | − | 14.9746i | − | 1.43430i | −0.696917 | − | 0.717152i | \(-0.745445\pi\) | ||
0.696917 | − | 0.717152i | \(-0.254555\pi\) | |||||||
\(110\) | −0.541074 | + | 0.561188i | −0.0515894 | + | 0.0535071i | ||||
\(111\) | −11.8206 | − | 6.82462i | −1.12196 | − | 0.647764i | ||||
\(112\) | −0.902604 | − | 4.23286i | −0.0852881 | − | 0.399968i | ||||
\(113\) | −3.74999 | + | 1.00481i | −0.352770 | + | 0.0945243i | −0.430852 | − | 0.902423i | \(-0.641787\pi\) |
0.0780824 | + | 0.996947i | \(0.475120\pi\) | |||||||
\(114\) | −13.6678 | − | 5.86952i | −1.28011 | − | 0.549731i | ||||
\(115\) | 2.26821 | − | 5.99823i | 0.211511 | − | 0.559338i | ||||
\(116\) | 2.46714 | − | 8.33891i | 0.229069 | − | 0.774248i | ||||
\(117\) | −8.45652 | − | 12.0807i | −0.781806 | − | 1.11686i | ||||
\(118\) | 14.1136 | + | 2.04403i | 1.29926 | + | 0.188168i | ||||
\(119\) | 3.26110 | + | 5.64840i | 0.298945 | + | 0.517788i | ||||
\(120\) | 11.9982 | − | 11.8170i | 1.09528 | − | 1.07874i | ||||
\(121\) | −5.46962 | + | 9.47365i | −0.497238 | + | 0.861241i | ||||
\(122\) | 7.60244 | + | 1.10104i | 0.688292 | + | 0.0996832i | ||||
\(123\) | 8.13130 | + | 30.3464i | 0.733175 | + | 2.73625i | ||||
\(124\) | −1.21388 | − | 1.27833i | −0.109010 | − | 0.114798i | ||||
\(125\) | −3.29526 | + | 10.6837i | −0.294737 | + | 0.955578i | ||||
\(126\) | −0.736602 | − | 6.21485i | −0.0656217 | − | 0.553663i | ||||
\(127\) | 5.08700 | − | 18.9849i | 0.451398 | − | 1.68464i | −0.247070 | − | 0.968998i | \(-0.579468\pi\) |
0.698467 | − | 0.715642i | \(-0.253866\pi\) | |||||||
\(128\) | 5.25641 | − | 10.0185i | 0.464606 | − | 0.885518i | ||||
\(129\) | − | 5.32506i | − | 0.468845i | ||||||
\(130\) | 11.2625 | + | 1.77626i | 0.987791 | + | 0.155788i | ||||
\(131\) | − | 16.0915i | − | 1.40592i | −0.711230 | − | 0.702959i | \(-0.751862\pi\) | ||
0.711230 | − | 0.702959i | \(-0.248138\pi\) | |||||||
\(132\) | −0.685562 | + | 1.11955i | −0.0596705 | + | 0.0974446i | ||||
\(133\) | 1.10622 | − | 4.12848i | 0.0959217 | − | 0.357985i | ||||
\(134\) | 18.2803 | − | 2.16663i | 1.57918 | − | 0.187169i | ||||
\(135\) | 5.02269 | − | 4.10899i | 0.432284 | − | 0.353645i | ||||
\(136\) | −2.87910 | + | 16.8046i | −0.246881 | + | 1.44098i | ||||
\(137\) | −2.02383 | − | 7.55303i | −0.172907 | − | 0.645299i | −0.996899 | − | 0.0786963i | \(-0.974924\pi\) |
0.823991 | − | 0.566602i | \(-0.191742\pi\) | |||||||
\(138\) | 1.54788 | − | 10.6878i | 0.131764 | − | 0.909805i | ||||
\(139\) | 4.89227 | − | 8.47366i | 0.414957 | − | 0.718726i | −0.580467 | − | 0.814284i | \(-0.697130\pi\) |
0.995424 | + | 0.0955574i | \(0.0304634\pi\) | |||||||
\(140\) | 3.85456 | + | 2.92527i | 0.325770 | + | 0.247230i | ||||
\(141\) | −11.3771 | − | 19.7058i | −0.958127 | − | 1.65952i | ||||
\(142\) | 1.89740 | − | 13.1012i | 0.159226 | − | 1.09943i | ||||
\(143\) | −0.885448 | + | 0.0773436i | −0.0740449 | + | 0.00646779i | ||||
\(144\) | 8.90118 | − | 13.7262i | 0.741765 | − | 1.14385i | ||||
\(145\) | 3.99886 | + | 8.86224i | 0.332088 | + | 0.735969i | ||||
\(146\) | −2.69784 | + | 6.28221i | −0.223275 | + | 0.519919i | ||||
\(147\) | −14.9926 | + | 4.01726i | −1.23657 | + | 0.331338i | ||||
\(148\) | 9.00823 | − | 4.89487i | 0.740472 | − | 0.402356i | ||||
\(149\) | −1.96578 | − | 1.13494i | −0.161043 | − | 0.0929783i | 0.417312 | − | 0.908763i | \(-0.362972\pi\) |
−0.578356 | + | 0.815785i | \(0.696305\pi\) | |||||||
\(150\) | −1.53243 | + | 18.7656i | −0.125122 | + | 1.53220i | ||||
\(151\) | 2.56094i | 0.208406i | 0.994556 | + | 0.104203i | \(0.0332292\pi\) | ||||
−0.994556 | + | 0.104203i | \(0.966771\pi\) | |||||||
\(152\) | 9.12100 | − | 6.45277i | 0.739811 | − | 0.523389i | ||||
\(153\) | −6.38080 | + | 23.8135i | −0.515857 | + | 1.92520i | ||||
\(154\) | −0.346605 | − | 0.148846i | −0.0279302 | − | 0.0119944i | ||||
\(155\) | 1.96114 | + | 0.196229i | 0.157522 | + | 0.0157615i | ||||
\(156\) | 19.1649 | − | 1.17578i | 1.53442 | − | 0.0941381i | ||||
\(157\) | −3.18007 | + | 3.18007i | −0.253797 | + | 0.253797i | −0.822526 | − | 0.568728i | \(-0.807436\pi\) |
0.568728 | + | 0.822526i | \(0.307436\pi\) | |||||||
\(158\) | −8.05608 | − | 20.1832i | −0.640907 | − | 1.60569i | ||||
\(159\) | −0.822680 | − | 1.42492i | −0.0652428 | − | 0.113004i | ||||
\(160\) | 2.86322 | + | 12.3208i | 0.226357 | + | 0.974044i | ||||
\(161\) | 3.10306 | 0.244555 | ||||||||
\(162\) | −3.97613 | + | 5.04539i | −0.312395 | + | 0.396403i | ||||
\(163\) | −3.88939 | − | 14.5154i | −0.304640 | − | 1.13693i | −0.933255 | − | 0.359216i | \(-0.883044\pi\) |
0.628614 | − | 0.777717i | \(-0.283622\pi\) | |||||||
\(164\) | −22.6283 | − | 6.69480i | −1.76697 | − | 0.522776i | ||||
\(165\) | −0.236840 | − | 1.44850i | −0.0184379 | − | 0.112766i | ||||
\(166\) | −19.9893 | − | 8.58422i | −1.55147 | − | 0.666264i | ||||
\(167\) | 0.0307750 | − | 0.114854i | 0.00238144 | − | 0.00888765i | −0.964725 | − | 0.263260i | \(-0.915202\pi\) |
0.967106 | + | 0.254372i | \(0.0818689\pi\) | |||||||
\(168\) | 7.40198 | + | 3.40798i | 0.571075 | + | 0.262931i | ||||
\(169\) | 8.35349 | + | 9.96088i | 0.642576 | + | 0.766222i | ||||
\(170\) | −9.83051 | − | 16.3314i | −0.753966 | − | 1.25256i | ||||
\(171\) | 13.9914 | − | 8.07794i | 1.06995 | − | 0.617735i | ||||
\(172\) | 3.41104 | + | 2.08876i | 0.260089 | + | 0.159266i | ||||
\(173\) | 10.0759 | − | 2.69983i | 0.766055 | − | 0.205264i | 0.145427 | − | 0.989369i | \(-0.453544\pi\) |
0.620628 | + | 0.784105i | \(0.286878\pi\) | |||||||
\(174\) | 9.79868 | + | 13.1176i | 0.742836 | + | 0.994440i | ||||
\(175\) | −5.39953 | + | 0.337075i | −0.408166 | + | 0.0254805i | ||||
\(176\) | −0.448232 | − | 0.878291i | −0.0337868 | − | 0.0662037i | ||||
\(177\) | −18.9861 | + | 18.9861i | −1.42708 | + | 1.42708i | ||||
\(178\) | −1.69279 | − | 1.33404i | −0.126880 | − | 0.0999906i | ||||
\(179\) | −1.33830 | − | 2.31800i | −0.100029 | − | 0.173256i | 0.811667 | − | 0.584120i | \(-0.198560\pi\) |
−0.911696 | + | 0.410864i | \(0.865227\pi\) | |||||||
\(180\) | 2.48383 | + | 18.1212i | 0.185133 | + | 1.35068i | ||||
\(181\) | 11.9703 | 0.889748 | 0.444874 | − | 0.895593i | \(-0.353248\pi\) | ||||
0.444874 | + | 0.895593i | \(0.353248\pi\) | |||||||
\(182\) | 1.12366 | + | 5.40154i | 0.0832913 | + | 0.400389i | ||||
\(183\) | −10.2271 | + | 10.2271i | −0.756006 | + | 0.756006i | ||||
\(184\) | 6.23905 | + | 5.18381i | 0.459949 | + | 0.382155i | ||||
\(185\) | −4.05425 | + | 10.7214i | −0.298074 | + | 0.788251i | ||||
\(186\) | 3.29604 | − | 0.390656i | 0.241677 | − | 0.0286443i | ||||
\(187\) | 1.05073 | + | 1.05073i | 0.0768370 | + | 0.0768370i | ||||
\(188\) | 17.0855 | + | 0.441832i | 1.24609 | + | 0.0322239i | ||||
\(189\) | 2.71941 | + | 1.57005i | 0.197808 | + | 0.114204i | ||||
\(190\) | −3.01237 | + | 12.1229i | −0.218540 | + | 0.879486i | ||||
\(191\) | 11.1448 | + | 6.43445i | 0.806410 | + | 0.465581i | 0.845708 | − | 0.533647i | \(-0.179179\pi\) |
−0.0392979 | + | 0.999228i | \(0.512512\pi\) | |||||||
\(192\) | 9.18931 | + | 19.2175i | 0.663182 | + | 1.38690i | ||||
\(193\) | 1.63219 | − | 6.09143i | 0.117488 | − | 0.438471i | −0.881973 | − | 0.471300i | \(-0.843785\pi\) |
0.999461 | + | 0.0328291i | \(0.0104517\pi\) | |||||||
\(194\) | −14.6464 | + | 10.9407i | −1.05155 | + | 0.785496i | ||||
\(195\) | −15.3697 | + | 14.9872i | −1.10065 | + | 1.07326i | ||||
\(196\) | 3.30756 | − | 11.1795i | 0.236254 | − | 0.798535i | ||||
\(197\) | −22.6800 | − | 6.07709i | −1.61588 | − | 0.432974i | −0.666094 | − | 0.745868i | \(-0.732035\pi\) |
−0.949788 | + | 0.312893i | \(0.898702\pi\) | |||||||
\(198\) | −0.528572 | − | 1.32425i | −0.0375640 | − | 0.0941103i | ||||
\(199\) | −3.33531 | + | 5.77693i | −0.236434 | + | 0.409516i | −0.959688 | − | 0.281066i | \(-0.909312\pi\) |
0.723254 | + | 0.690582i | \(0.242645\pi\) | |||||||
\(200\) | −11.4194 | − | 8.34243i | −0.807477 | − | 0.589899i | ||||
\(201\) | −17.3296 | + | 30.0157i | −1.22233 | + | 2.11715i | ||||
\(202\) | −1.54300 | + | 1.95794i | −0.108565 | + | 0.137760i | ||||
\(203\) | −3.32672 | + | 3.32672i | −0.233490 | + | 0.233490i | ||||
\(204\) | −22.1043 | − | 23.2779i | −1.54761 | − | 1.62978i | ||||
\(205\) | 24.0484 | − | 10.8512i | 1.67961 | − | 0.757884i | ||||
\(206\) | 11.6534 | + | 5.00446i | 0.811932 | + | 0.348677i | ||||
\(207\) | 8.29391 | + | 8.29391i | 0.576467 | + | 0.576467i | ||||
\(208\) | −6.76428 | + | 12.7375i | −0.469018 | + | 0.883188i | ||||
\(209\) | − | 0.973773i | − | 0.0673573i | ||||||
\(210\) | −8.75575 | + | 2.51818i | −0.604204 | + | 0.173771i | ||||
\(211\) | 20.8392 | − | 12.0315i | 1.43463 | − | 0.828282i | 0.437158 | − | 0.899385i | \(-0.355985\pi\) |
0.997469 | + | 0.0711027i | \(0.0226518\pi\) | |||||||
\(212\) | 1.23545 | + | 0.0319489i | 0.0848511 | + | 0.00219426i | ||||
\(213\) | 17.6241 | + | 17.6241i | 1.20759 | + | 1.20759i | ||||
\(214\) | 16.5843 | − | 1.96562i | 1.13368 | − | 0.134367i | ||||
\(215\) | −4.41326 | + | 0.721599i | −0.300982 | + | 0.0492126i | ||||
\(216\) | 2.84483 | + | 7.69966i | 0.193566 | + | 0.523896i | ||||
\(217\) | 0.246838 | + | 0.921213i | 0.0167565 | + | 0.0625360i | ||||
\(218\) | −19.6683 | + | 7.85059i | −1.33211 | + | 0.531709i | ||||
\(219\) | −6.43636 | − | 11.1481i | −0.434929 | − | 0.753319i | ||||
\(220\) | 1.02076 | + | 0.416464i | 0.0688193 | + | 0.0280780i | ||||
\(221\) | 3.77699 | − | 21.4031i | 0.254068 | − | 1.43973i | ||||
\(222\) | −2.76672 | + | 19.1036i | −0.185690 | + | 1.28215i | ||||
\(223\) | −13.7472 | − | 3.68354i | −0.920578 | − | 0.246668i | −0.232746 | − | 0.972538i | \(-0.574771\pi\) |
−0.687832 | + | 0.725869i | \(0.741438\pi\) | |||||||
\(224\) | −5.08645 | + | 3.40465i | −0.339853 | + | 0.227483i | ||||
\(225\) | −15.3329 | − | 13.5310i | −1.02219 | − | 0.902067i | ||||
\(226\) | 3.28574 | + | 4.39865i | 0.218564 | + | 0.292594i | ||||
\(227\) | 13.7474 | − | 3.68361i | 0.912447 | − | 0.244490i | 0.228093 | − | 0.973639i | \(-0.426751\pi\) |
0.684354 | + | 0.729150i | \(0.260084\pi\) | |||||||
\(228\) | −0.543816 | + | 21.0291i | −0.0360151 | + | 1.39269i | ||||
\(229\) | − | 17.1010i | − | 1.13006i | −0.825069 | − | 0.565032i | \(-0.808864\pi\) | ||
0.825069 | − | 0.565032i | \(-0.191136\pi\) | |||||||
\(230\) | −9.06750 | + | 0.165462i | −0.597893 | + | 0.0109103i | ||||
\(231\) | 0.615068 | − | 0.355110i | 0.0404685 | − | 0.0233645i | ||||
\(232\) | −12.2462 | + | 1.13130i | −0.804000 | + | 0.0742732i | ||||
\(233\) | 2.83901 | + | 2.83901i | 0.185990 | + | 0.185990i | 0.793960 | − | 0.607970i | \(-0.208016\pi\) |
−0.607970 | + | 0.793960i | \(0.708016\pi\) | |||||||
\(234\) | −11.4340 | + | 17.4407i | −0.747463 | + | 1.14013i | ||||
\(235\) | −14.7899 | + | 12.0994i | −0.964786 | + | 0.789277i | ||||
\(236\) | −4.71449 | − | 19.6091i | −0.306887 | − | 1.27645i | ||||
\(237\) | 39.5221 | + | 10.5899i | 2.56724 | + | 0.687890i | ||||
\(238\) | 5.70922 | − | 7.24453i | 0.370074 | − | 0.469593i | ||||
\(239\) | 13.8117 | 0.893404 | 0.446702 | − | 0.894683i | \(-0.352598\pi\) | ||||
0.446702 | + | 0.894683i | \(0.352598\pi\) | |||||||
\(240\) | −21.8112 | − | 9.56381i | −1.40790 | − | 0.617341i | ||||
\(241\) | 2.39428 | − | 4.14702i | 0.154229 | − | 0.267133i | −0.778549 | − | 0.627584i | \(-0.784044\pi\) |
0.932778 | + | 0.360451i | \(0.117377\pi\) | |||||||
\(242\) | 15.3107 | + | 2.21740i | 0.984207 | + | 0.142540i | ||||
\(243\) | −5.38373 | − | 20.0924i | −0.345367 | − | 1.28893i | ||||
\(244\) | −2.53951 | − | 10.5627i | −0.162575 | − | 0.676204i | ||||
\(245\) | 5.36105 | + | 11.8811i | 0.342505 | + | 0.759056i | ||||
\(246\) | 35.5956 | − | 26.5895i | 2.26949 | − | 1.69529i | ||||
\(247\) | −11.6679 | + | 8.16758i | −0.742413 | + | 0.519691i | ||||
\(248\) | −1.04263 | + | 2.26456i | −0.0662073 | + | 0.143799i | ||||
\(249\) | 35.4720 | − | 20.4798i | 2.24795 | − | 1.29785i | ||||
\(250\) | 15.7601 | − | 1.27289i | 0.996754 | − | 0.0805046i | ||||
\(251\) | 12.5299 | + | 7.23412i | 0.790878 | + | 0.456614i | 0.840272 | − | 0.542166i | \(-0.182395\pi\) |
−0.0493935 | + | 0.998779i | \(0.515729\pi\) | |||||||
\(252\) | −7.77672 | + | 4.22569i | −0.489887 | + | 0.266194i | ||||
\(253\) | 0.682882 | − | 0.182978i | 0.0429324 | − | 0.0115037i | ||||
\(254\) | −27.6027 | + | 3.27155i | −1.73194 | + | 0.205275i | ||||
\(255\) | 35.7114 | + | 3.57323i | 2.23633 | + | 0.223765i | ||||
\(256\) | −15.9145 | − | 1.65173i | −0.994657 | − | 0.103233i | ||||
\(257\) | 10.2684 | + | 2.75142i | 0.640528 | + | 0.171629i | 0.564442 | − | 0.825472i | \(-0.309091\pi\) |
0.0760852 | + | 0.997101i | \(0.475758\pi\) | |||||||
\(258\) | −6.99420 | + | 2.79172i | −0.435440 | + | 0.173805i | ||||
\(259\) | −5.54649 | −0.344642 | ||||||||
\(260\) | −3.57149 | − | 15.7240i | −0.221495 | − | 0.975162i | ||||
\(261\) | −17.7834 | −1.10076 | ||||||||
\(262\) | −21.1353 | + | 8.43614i | −1.30575 | + | 0.521186i | ||||
\(263\) | 4.91189 | + | 1.31614i | 0.302880 | + | 0.0811565i | 0.407058 | − | 0.913402i | \(-0.366555\pi\) |
−0.104178 | + | 0.994559i | \(0.533221\pi\) | |||||||
\(264\) | 1.82989 | + | 0.313513i | 0.112622 | + | 0.0192954i | ||||
\(265\) | −1.06946 | + | 0.874906i | −0.0656962 | + | 0.0537450i | ||||
\(266\) | −6.00250 | + | 0.711433i | −0.368037 | + | 0.0436208i | ||||
\(267\) | 3.91969 | − | 1.05028i | 0.239881 | − | 0.0642759i | ||||
\(268\) | −12.4294 | − | 22.8744i | −0.759247 | − | 1.39727i | ||||
\(269\) | −1.93942 | − | 1.11972i | −0.118248 | − | 0.0682708i | 0.439709 | − | 0.898140i | \(-0.355082\pi\) |
−0.557958 | + | 0.829869i | \(0.688415\pi\) | |||||||
\(270\) | −8.03015 | − | 4.44287i | −0.488699 | − | 0.270384i | ||||
\(271\) | −16.8254 | + | 9.71415i | −1.02207 | + | 0.590093i | −0.914703 | − | 0.404127i | \(-0.867575\pi\) |
−0.107367 | + | 0.994219i | \(0.534242\pi\) | |||||||
\(272\) | 23.5814 | − | 5.02842i | 1.42983 | − | 0.304893i | ||||
\(273\) | −9.41391 | − | 4.39136i | −0.569756 | − | 0.265777i | ||||
\(274\) | −8.85951 | + | 6.61795i | −0.535222 | + | 0.399805i | ||||
\(275\) | −1.16838 | + | 0.392572i | −0.0704561 | + | 0.0236730i | ||||
\(276\) | −14.8494 | + | 3.57013i | −0.893827 | + | 0.214897i | ||||
\(277\) | 1.20804 | + | 4.50847i | 0.0725841 | + | 0.270888i | 0.992675 | − | 0.120818i | \(-0.0385518\pi\) |
−0.920091 | + | 0.391706i | \(0.871885\pi\) | |||||||
\(278\) | −13.6945 | − | 1.98334i | −0.821345 | − | 0.118953i | ||||
\(279\) | −1.80248 | + | 3.12199i | −0.107912 | + | 0.186908i | ||||
\(280\) | 1.82140 | − | 6.59637i | 0.108849 | − | 0.394209i | ||||
\(281\) | 29.7080 | 1.77223 | 0.886115 | − | 0.463465i | \(-0.153394\pi\) | ||||
0.886115 | + | 0.463465i | \(0.153394\pi\) | |||||||
\(282\) | −19.9179 | + | 25.2743i | −1.18610 | + | 1.50506i | ||||
\(283\) | 3.67462 | + | 0.984611i | 0.218433 | + | 0.0585290i | 0.366376 | − | 0.930467i | \(-0.380598\pi\) |
−0.147943 | + | 0.988996i | \(0.547265\pi\) | |||||||
\(284\) | −18.2025 | + | 4.37629i | −1.08012 | + | 0.259685i | ||||
\(285\) | −14.8922 | − | 18.2037i | −0.882135 | − | 1.07829i | ||||
\(286\) | 0.565793 | + | 1.12244i | 0.0334560 | + | 0.0663714i | ||||
\(287\) | 9.02732 | + | 9.02732i | 0.532866 | + | 0.532866i | ||||
\(288\) | −22.6952 | − | 4.49515i | −1.33733 | − | 0.264879i | ||||
\(289\) | −16.7449 | + | 9.66766i | −0.984993 | + | 0.568686i | ||||
\(290\) | 9.54366 | − | 9.89844i | 0.560423 | − | 0.581256i | ||||
\(291\) | − | 34.4206i | − | 2.01777i | ||||||
\(292\) | 9.66573 | + | 0.249957i | 0.565644 | + | 0.0146276i | ||||
\(293\) | −7.08757 | + | 1.89911i | −0.414060 | + | 0.110947i | −0.459834 | − | 0.888005i | \(-0.652091\pi\) |
0.0457741 | + | 0.998952i | \(0.485425\pi\) | |||||||
\(294\) | 13.1365 | + | 17.5860i | 0.766138 | + | 1.02563i | ||||
\(295\) | 18.3080 | + | 13.1624i | 1.06593 | + | 0.766343i | ||||
\(296\) | −11.1518 | − | 9.26567i | −0.648187 | − | 0.538556i | ||||
\(297\) | 0.691034 | + | 0.185162i | 0.0400978 | + | 0.0107442i | ||||
\(298\) | −0.460110 | + | 3.17696i | −0.0266534 | + | 0.184037i | ||||
\(299\) | −7.92018 | − | 6.64769i | −0.458036 | − | 0.384446i | ||||
\(300\) | 25.4511 | − | 7.82530i | 1.46942 | − | 0.451794i | ||||
\(301\) | −1.08194 | − | 1.87398i | −0.0623621 | − | 0.108014i | ||||
\(302\) | 3.36366 | − | 1.34260i | 0.193557 | − | 0.0772579i | ||||
\(303\) | −1.21479 | − | 4.53365i | −0.0697877 | − | 0.260451i | ||||
\(304\) | −13.2572 | − | 8.59704i | −0.760351 | − | 0.493074i | ||||
\(305\) | 9.86178 | + | 7.09004i | 0.564684 | + | 0.405975i | ||||
\(306\) | 34.6230 | − | 4.10362i | 1.97927 | − | 0.234588i | ||||
\(307\) | −1.96372 | − | 1.96372i | −0.112075 | − | 0.112075i | 0.648845 | − | 0.760920i | \(-0.275252\pi\) |
−0.760920 | + | 0.648845i | \(0.775252\pi\) | |||||||
\(308\) | −0.0137907 | + | 0.533282i | −0.000785800 | + | 0.0303866i | ||||
\(309\) | −20.6796 | + | 11.9394i | −1.17642 | + | 0.679208i | ||||
\(310\) | −0.770411 | − | 2.67873i | −0.0437564 | − | 0.152142i | ||||
\(311\) | 15.7915i | 0.895454i | 0.894170 | + | 0.447727i | \(0.147766\pi\) | ||||
−0.894170 | + | 0.447727i | \(0.852234\pi\) | |||||||
\(312\) | −11.5917 | − | 24.5557i | −0.656253 | − | 1.39019i | ||||
\(313\) | −6.08868 | − | 6.08868i | −0.344152 | − | 0.344152i | 0.513774 | − | 0.857926i | \(-0.328247\pi\) |
−0.857926 | + | 0.513774i | \(0.828247\pi\) | |||||||
\(314\) | 5.84405 | + | 2.50968i | 0.329799 | + | 0.141629i | ||||
\(315\) | 3.49999 | − | 9.25566i | 0.197202 | − | 0.521498i | ||||
\(316\) | −22.2861 | + | 21.1625i | −1.25369 | + | 1.19048i | ||||
\(317\) | −3.80330 | + | 3.80330i | −0.213615 | + | 0.213615i | −0.805801 | − | 0.592186i | \(-0.798265\pi\) |
0.592186 | + | 0.805801i | \(0.298265\pi\) | |||||||
\(318\) | −1.44027 | + | 1.82758i | −0.0807661 | + | 0.102486i | ||||
\(319\) | −0.535935 | + | 0.928267i | −0.0300066 | + | 0.0519730i | ||||
\(320\) | 14.6817 | − | 10.2200i | 0.820730 | − | 0.571316i | ||||
\(321\) | −15.7218 | + | 27.2310i | −0.877506 | + | 1.51989i | ||||
\(322\) | −1.62681 | − | 4.07571i | −0.0906588 | − | 0.227131i | ||||
\(323\) | 22.9998 | + | 6.16278i | 1.27974 | + | 0.342906i | ||||
\(324\) | 8.71140 | + | 2.57735i | 0.483967 | + | 0.143186i | ||||
\(325\) | 14.5038 | + | 10.7071i | 0.804523 | + | 0.593921i | ||||
\(326\) | −17.0262 | + | 12.7184i | −0.942993 | + | 0.704405i | ||||
\(327\) | 10.3198 | − | 38.5140i | 0.570686 | − | 2.12983i | ||||
\(328\) | 3.06987 | + | 33.2310i | 0.169505 | + | 1.83487i | ||||
\(329\) | −8.00761 | − | 4.62320i | −0.441474 | − | 0.254885i | ||||
\(330\) | −1.77837 | + | 1.07047i | −0.0978958 | + | 0.0589274i | ||||
\(331\) | 0.624401 | + | 0.360498i | 0.0343202 | + | 0.0198148i | 0.517062 | − | 0.855948i | \(-0.327026\pi\) |
−0.482742 | + | 0.875763i | \(0.660359\pi\) | |||||||
\(332\) | −0.795335 | + | 30.7553i | −0.0436497 | + | 1.68792i | ||||
\(333\) | −14.8247 | − | 14.8247i | −0.812391 | − | 0.812391i | ||||
\(334\) | −0.166989 | + | 0.0197920i | −0.00913722 | + | 0.00108297i | ||||
\(335\) | 27.2245 | + | 10.2949i | 1.48744 | + | 0.562468i | ||||
\(336\) | 0.595636 | − | 11.5088i | 0.0324946 | − | 0.627856i | ||||
\(337\) | −12.8296 | + | 12.8296i | −0.698875 | + | 0.698875i | −0.964168 | − | 0.265293i | \(-0.914531\pi\) |
0.265293 | + | 0.964168i | \(0.414531\pi\) | |||||||
\(338\) | 8.70371 | − | 16.1940i | 0.473419 | − | 0.880837i | ||||
\(339\) | −10.3373 | −0.561445 | ||||||||
\(340\) | −16.2967 | + | 21.4738i | −0.883813 | + | 1.16458i | ||||
\(341\) | 0.108642 | + | 0.188173i | 0.00588329 | + | 0.0101902i | ||||
\(342\) | −17.9451 | − | 14.1420i | −0.970360 | − | 0.764714i | ||||
\(343\) | −9.81560 | + | 9.81560i | −0.529993 | + | 0.529993i | ||||
\(344\) | 0.955205 | − | 5.57528i | 0.0515012 | − | 0.300599i | ||||
\(345\) | 9.96744 | − | 13.8641i | 0.536629 | − | 0.746416i | ||||
\(346\) | −8.82848 | − | 11.8188i | −0.474622 | − | 0.635380i | ||||
\(347\) | −2.15716 | + | 0.578010i | −0.115803 | + | 0.0310292i | −0.316255 | − | 0.948674i | \(-0.602425\pi\) |
0.200452 | + | 0.979703i | \(0.435759\pi\) | |||||||
\(348\) | 12.0922 | − | 19.7471i | 0.648210 | − | 1.05856i | ||||
\(349\) | −3.23455 | + | 1.86747i | −0.173141 | + | 0.0999633i | −0.584066 | − | 0.811706i | \(-0.698539\pi\) |
0.410925 | + | 0.911669i | \(0.365206\pi\) | |||||||
\(350\) | 3.27349 | + | 6.91529i | 0.174976 | + | 0.369638i | ||||
\(351\) | −3.57744 | − | 9.83316i | −0.190950 | − | 0.524855i | ||||
\(352\) | −0.918600 | + | 1.04918i | −0.0489616 | + | 0.0559217i | ||||
\(353\) | −3.44523 | + | 12.8578i | −0.183371 | + | 0.684350i | 0.811602 | + | 0.584210i | \(0.198596\pi\) |
−0.994973 | + | 0.100140i | \(0.968071\pi\) | |||||||
\(354\) | 34.8910 | + | 14.9836i | 1.85444 | + | 0.796371i | ||||
\(355\) | 12.2182 | − | 16.9947i | 0.648473 | − | 0.901983i | ||||
\(356\) | −0.864732 | + | 2.92278i | −0.0458307 | + | 0.154907i | ||||
\(357\) | 4.49481 | + | 16.7749i | 0.237891 | + | 0.887820i | ||||
\(358\) | −2.34296 | + | 2.97303i | −0.123829 | + | 0.157129i | ||||
\(359\) | −19.6095 | −1.03495 | −0.517474 | − | 0.855699i | \(-0.673128\pi\) | ||||
−0.517474 | + | 0.855699i | \(0.673128\pi\) | |||||||
\(360\) | 22.4991 | − | 12.7626i | 1.18581 | − | 0.672650i | ||||
\(361\) | 1.69807 | + | 2.94114i | 0.0893720 | + | 0.154797i | ||||
\(362\) | −6.27558 | − | 15.7224i | −0.329837 | − | 0.826353i | ||||
\(363\) | −20.5964 | + | 20.5964i | −1.08103 | + | 1.08103i | ||||
\(364\) | 6.50556 | − | 4.30769i | 0.340984 | − | 0.225784i | ||||
\(365\) | −8.36706 | + | 6.84496i | −0.437952 | + | 0.358282i | ||||
\(366\) | 18.7944 | + | 8.07108i | 0.982398 | + | 0.421882i | ||||
\(367\) | −3.02321 | + | 11.2828i | −0.157810 | + | 0.588956i | 0.841038 | + | 0.540976i | \(0.181945\pi\) |
−0.998848 | + | 0.0479800i | \(0.984722\pi\) | |||||||
\(368\) | 3.53778 | − | 10.9123i | 0.184420 | − | 0.568845i | ||||
\(369\) | 48.2567i | 2.51214i | ||||||||
\(370\) | 16.2075 | − | 0.295751i | 0.842587 | − | 0.0153754i | ||||
\(371\) | −0.579030 | − | 0.334303i | −0.0300618 | − | 0.0173562i | ||||
\(372\) | −2.24109 | − | 4.12438i | −0.116195 | − | 0.213839i | ||||
\(373\) | −5.70345 | + | 1.52823i | −0.295313 | + | 0.0791290i | −0.403434 | − | 0.915009i | \(-0.632183\pi\) |
0.108120 | + | 0.994138i | \(0.465517\pi\) | |||||||
\(374\) | 0.829224 | − | 1.93094i | 0.0428782 | − | 0.0998465i | ||||
\(375\) | −15.8380 | + | 25.2071i | −0.817870 | + | 1.30169i | ||||
\(376\) | −8.37692 | − | 22.6725i | −0.432007 | − | 1.16925i | ||||
\(377\) | 15.6179 | − | 1.36421i | 0.804361 | − | 0.0702606i | ||||
\(378\) | 0.636503 | − | 4.39492i | 0.0327382 | − | 0.226050i | ||||
\(379\) | −1.42303 | − | 2.46476i | −0.0730961 | − | 0.126606i | 0.827161 | − | 0.561966i | \(-0.189955\pi\) |
−0.900257 | + | 0.435359i | \(0.856621\pi\) | |||||||
\(380\) | 17.5021 | − | 2.39896i | 0.897837 | − | 0.123064i | ||||
\(381\) | 26.1671 | − | 45.3228i | 1.34058 | − | 2.32196i | ||||
\(382\) | 2.60855 | − | 18.0115i | 0.133465 | − | 0.921547i | ||||
\(383\) | −3.44249 | − | 12.8475i | −0.175903 | − | 0.656479i | −0.996396 | − | 0.0848224i | \(-0.972968\pi\) |
0.820493 | − | 0.571656i | \(-0.193699\pi\) | |||||||
\(384\) | 20.4236 | − | 22.1447i | 1.04224 | − | 1.13007i | ||||
\(385\) | −0.377653 | − | 0.461631i | −0.0192470 | − | 0.0235269i | ||||
\(386\) | −8.85648 | + | 1.04970i | −0.450783 | + | 0.0534281i | ||||
\(387\) | 2.11697 | − | 7.90064i | 0.107612 | − | 0.401612i | ||||
\(388\) | 22.0486 | + | 13.5015i | 1.11935 | + | 0.685435i | ||||
\(389\) | 23.0402i | 1.16819i | 0.811687 | + | 0.584093i | \(0.198550\pi\) | ||||
−0.811687 | + | 0.584093i | \(0.801450\pi\) | |||||||
\(390\) | 27.7427 | + | 12.3301i | 1.40481 | + | 0.624359i | ||||
\(391\) | 17.2872i | 0.874251i | ||||||||
\(392\) | −16.4177 | + | 1.51666i | −0.829221 | + | 0.0766031i | ||||
\(393\) | 11.0895 | − | 41.3866i | 0.559392 | − | 2.08768i | ||||
\(394\) | 3.90829 | + | 32.9750i | 0.196897 | + | 1.66126i | ||||
\(395\) | 3.42100 | − | 34.1899i | 0.172129 | − | 1.72028i | ||||
\(396\) | −1.46223 | + | 1.38850i | −0.0734796 | + | 0.0697750i | ||||
\(397\) | −5.42981 | − | 20.2643i | −0.272514 | − | 1.01704i | −0.957489 | − | 0.288470i | \(-0.906853\pi\) |
0.684975 | − | 0.728567i | \(-0.259813\pi\) | |||||||
\(398\) | 9.33628 | + | 1.35214i | 0.467986 | + | 0.0677769i | ||||
\(399\) | 5.69032 | − | 9.85593i | 0.284872 | − | 0.493413i | ||||
\(400\) | −4.97060 | + | 19.3725i | −0.248530 | + | 0.968624i | ||||
\(401\) | −0.508026 | − | 0.879926i | −0.0253696 | − | 0.0439414i | 0.853062 | − | 0.521810i | \(-0.174743\pi\) |
−0.878431 | + | 0.477868i | \(0.841410\pi\) | |||||||
\(402\) | 48.5094 | + | 7.02546i | 2.41943 | + | 0.350398i | ||||
\(403\) | 1.34349 | − | 2.88009i | 0.0669240 | − | 0.143467i | ||||
\(404\) | 3.38059 | + | 1.00018i | 0.168190 | + | 0.0497607i | ||||
\(405\) | −9.25811 | + | 4.17749i | −0.460039 | + | 0.207581i | ||||
\(406\) | 6.11354 | + | 2.62541i | 0.303410 | + | 0.130297i | ||||
\(407\) | −1.22060 | + | 0.327059i | −0.0605029 | + | 0.0162117i | ||||
\(408\) | −18.9859 | + | 41.2365i | −0.939941 | + | 2.04151i | ||||
\(409\) | 3.16428 | + | 1.82690i | 0.156464 | + | 0.0903342i | 0.576188 | − | 0.817318i | \(-0.304540\pi\) |
−0.419724 | + | 0.907652i | \(0.637873\pi\) | |||||||
\(410\) | −26.8602 | − | 25.8975i | −1.32653 | − | 1.27899i | ||||
\(411\) | − | 20.8208i | − | 1.02702i | ||||||
\(412\) | 0.463667 | − | 17.9298i | 0.0228433 | − | 0.883339i | ||||
\(413\) | −2.82395 | + | 10.5391i | −0.138958 | + | 0.518597i | ||||
\(414\) | 6.54546 | − | 15.2418i | 0.321692 | − | 0.749094i | ||||
\(415\) | −21.7799 | − | 26.6230i | −1.06913 | − | 1.30687i | ||||
\(416\) | 20.2763 | + | 2.20675i | 0.994130 | + | 0.108195i | ||||
\(417\) | 18.4224 | − | 18.4224i | 0.902148 | − | 0.902148i | ||||
\(418\) | −1.27900 | + | 0.510512i | −0.0625581 | + | 0.0249699i | ||||
\(419\) | −2.97074 | − | 5.14548i | −0.145130 | − | 0.251373i | 0.784291 | − | 0.620393i | \(-0.213027\pi\) |
−0.929422 | + | 0.369020i | \(0.879693\pi\) | |||||||
\(420\) | 7.89781 | + | 10.1801i | 0.385374 | + | 0.496736i | ||||
\(421\) | −3.28916 | −0.160304 | −0.0801518 | − | 0.996783i | \(-0.525541\pi\) | ||||
−0.0801518 | + | 0.996783i | \(0.525541\pi\) | |||||||
\(422\) | −26.7279 | − | 21.0635i | −1.30109 | − | 1.02536i | ||||
\(423\) | −9.04592 | − | 33.7598i | −0.439828 | − | 1.64146i | ||||
\(424\) | −0.605735 | − | 1.63945i | −0.0294171 | − | 0.0796188i | ||||
\(425\) | −1.87785 | − | 30.0808i | −0.0910892 | − | 1.45913i | ||||
\(426\) | 13.9088 | − | 32.3881i | 0.673882 | − | 1.56921i | ||||
\(427\) | −1.52115 | + | 5.67701i | −0.0736136 | + | 0.274730i | ||||
\(428\) | −11.2763 | − | 20.7522i | −0.545059 | − | 1.00309i | ||||
\(429\) | −2.33064 | − | 0.411286i | −0.112524 | − | 0.0198571i | ||||
\(430\) | 3.26149 | + | 5.41829i | 0.157283 | + | 0.261293i | ||||
\(431\) | 2.37318 | − | 1.37016i | 0.114312 | − | 0.0659981i | −0.441754 | − | 0.897136i | \(-0.645644\pi\) |
0.556066 | + | 0.831138i | \(0.312310\pi\) | |||||||
\(432\) | 8.62169 | − | 7.77317i | 0.414811 | − | 0.373987i | ||||
\(433\) | 4.10546 | − | 1.10006i | 0.197296 | − | 0.0528653i | −0.158818 | − | 0.987308i | \(-0.550768\pi\) |
0.356114 | + | 0.934443i | \(0.384102\pi\) | |||||||
\(434\) | 1.08056 | − | 0.807166i | 0.0518685 | − | 0.0387452i | ||||
\(435\) | 4.17746 | + | 25.5492i | 0.200294 | + | 1.22499i | ||||
\(436\) | 20.6227 | + | 21.7176i | 0.987648 | + | 1.04009i | ||||
\(437\) | 8.01053 | − | 8.01053i | 0.383195 | − | 0.383195i | ||||
\(438\) | −11.2681 | + | 14.2984i | −0.538413 | + | 0.683202i | ||||
\(439\) | 13.1814 | + | 22.8308i | 0.629113 | + | 1.08966i | 0.987730 | + | 0.156171i | \(0.0499152\pi\) |
−0.358617 | + | 0.933485i | \(0.616751\pi\) | |||||||
\(440\) | 0.0118623 | − | 1.55905i | 0.000565514 | − | 0.0743247i | ||||
\(441\) | −23.8412 | −1.13529 | ||||||||
\(442\) | −30.0921 | + | 6.25994i | −1.43133 | + | 0.297755i | ||||
\(443\) | 26.9223 | − | 26.9223i | 1.27911 | − | 1.27911i | 0.337951 | − | 0.941164i | \(-0.390266\pi\) |
0.941164 | − | 0.337951i | \(-0.109734\pi\) | |||||||
\(444\) | 26.5421 | − | 6.38134i | 1.25963 | − | 0.302845i | ||||
\(445\) | −1.40160 | − | 3.10621i | −0.0664421 | − | 0.147248i | ||||
\(446\) | 2.36896 | + | 19.9873i | 0.112173 | + | 0.946428i | ||||
\(447\) | −4.27376 | − | 4.27376i | −0.202142 | − | 0.202142i | ||||
\(448\) | 7.13847 | + | 4.89588i | 0.337261 | + | 0.231308i | ||||
\(449\) | −5.28544 | − | 3.05155i | −0.249435 | − | 0.144012i | 0.370070 | − | 0.929004i | \(-0.379334\pi\) |
−0.619506 | + | 0.784992i | \(0.712667\pi\) | |||||||
\(450\) | −9.73386 | + | 27.2328i | −0.458858 | + | 1.28376i | ||||
\(451\) | 2.51893 | + | 1.45430i | 0.118612 | + | 0.0684805i | ||||
\(452\) | 4.05481 | − | 6.62169i | 0.190722 | − | 0.311458i | ||||
\(453\) | −1.76488 | + | 6.58663i | −0.0829214 | + | 0.309467i | ||||
\(454\) | −12.0455 | − | 16.1254i | −0.565322 | − | 0.756801i | ||||
\(455\) | −2.36376 | + | 8.39707i | −0.110815 | + | 0.393661i | ||||
\(456\) | 27.9058 | − | 10.3105i | 1.30681 | − | 0.482833i | ||||
\(457\) | −5.64498 | − | 1.51257i | −0.264061 | − | 0.0707549i | 0.124359 | − | 0.992237i | \(-0.460312\pi\) |
−0.388420 | + | 0.921482i | \(0.626979\pi\) | |||||||
\(458\) | −22.4613 | + | 8.96537i | −1.04955 | + | 0.418924i | ||||
\(459\) | −8.74678 | + | 15.1499i | −0.408265 | + | 0.707135i | ||||
\(460\) | 4.97107 | + | 11.8230i | 0.231777 | + | 0.551248i | ||||
\(461\) | −0.671324 | + | 1.16277i | −0.0312667 | + | 0.0541555i | −0.881235 | − | 0.472678i | \(-0.843287\pi\) |
0.849969 | + | 0.526833i | \(0.176621\pi\) | |||||||
\(462\) | −0.788875 | − | 0.621691i | −0.0367018 | − | 0.0289237i | ||||
\(463\) | −24.2564 | + | 24.2564i | −1.12729 | + | 1.12729i | −0.136674 | + | 0.990616i | \(0.543641\pi\) |
−0.990616 | + | 0.136674i | \(0.956359\pi\) | |||||||
\(464\) | 7.90609 | + | 15.4916i | 0.367031 | + | 0.719181i | ||||
\(465\) | 4.90873 | + | 1.85622i | 0.227637 | + | 0.0860801i | ||||
\(466\) | 2.24052 | − | 5.21729i | 0.103790 | − | 0.241686i | ||||
\(467\) | 15.6597 | + | 15.6597i | 0.724645 | + | 0.724645i | 0.969548 | − | 0.244903i | \(-0.0787560\pi\) |
−0.244903 | + | 0.969548i | \(0.578756\pi\) | |||||||
\(468\) | 28.9018 | + | 5.87450i | 1.33599 | + | 0.271549i | ||||
\(469\) | 14.0841i | 0.650341i | ||||||||
\(470\) | 23.6457 | + | 13.0825i | 1.09069 | + | 0.603452i | ||||
\(471\) | −10.3706 | + | 5.98746i | −0.477851 | + | 0.275887i | ||||
\(472\) | −23.2840 | + | 16.4726i | −1.07173 | + | 0.758211i | ||||
\(473\) | −0.348603 | − | 0.348603i | −0.0160288 | − | 0.0160288i | ||||
\(474\) | −6.81059 | − | 57.4622i | −0.312821 | − | 2.63933i | ||||
\(475\) | −13.0687 | + | 14.8090i | −0.599632 | + | 0.679483i | ||||
\(476\) | −12.5085 | − | 3.70074i | −0.573324 | − | 0.169623i | ||||
\(477\) | −0.654110 | − | 2.44117i | −0.0299497 | − | 0.111774i | ||||
\(478\) | −7.24093 | − | 18.1410i | −0.331193 | − | 0.829748i | ||||
\(479\) | −3.94739 | − | 6.83708i | −0.180361 | − | 0.312394i | 0.761643 | − | 0.647997i | \(-0.224393\pi\) |
−0.942003 | + | 0.335603i | \(0.891060\pi\) | |||||||
\(480\) | −1.12684 | + | 33.6618i | −0.0514331 | + | 1.53644i | ||||
\(481\) | 14.1567 | + | 11.8822i | 0.645492 | + | 0.541783i | ||||
\(482\) | −6.70213 | − | 0.970649i | −0.305274 | − | 0.0442118i | ||||
\(483\) | 7.98095 | + | 2.13849i | 0.363146 | + | 0.0973046i | ||||
\(484\) | −5.11435 | − | 21.2723i | −0.232471 | − | 0.966922i | ||||
\(485\) | −28.5269 | + | 4.66434i | −1.29534 | + | 0.211797i | ||||
\(486\) | −23.5678 | + | 17.6049i | −1.06906 | + | 0.798575i | ||||
\(487\) | −10.3753 | + | 2.78006i | −0.470150 | + | 0.125976i | −0.486113 | − | 0.873896i | \(-0.661586\pi\) |
0.0159622 | + | 0.999873i | \(0.494919\pi\) | |||||||
\(488\) | −12.5421 | + | 8.87310i | −0.567756 | + | 0.401666i | ||||
\(489\) | − | 40.0134i | − | 1.80947i | ||||||
\(490\) | 12.7946 | − | 13.2703i | 0.578003 | − | 0.599490i | ||||
\(491\) | −34.4505 | + | 19.8900i | −1.55473 | + | 0.897622i | −0.556981 | + | 0.830525i | \(0.688040\pi\) |
−0.997746 | + | 0.0670971i | \(0.978626\pi\) | |||||||
\(492\) | −53.5854 | − | 32.8132i | −2.41582 | − | 1.47933i | ||||
\(493\) | −18.5332 | − | 18.5332i | −0.834692 | − | 0.834692i | ||||
\(494\) | 16.8448 | + | 11.0433i | 0.757881 | + | 0.496862i | ||||
\(495\) | 0.224457 | − | 2.24325i | 0.0100886 | − | 0.100827i | ||||
\(496\) | 3.52099 | + | 0.182228i | 0.158097 | + | 0.00818230i | ||||
\(497\) | 9.78310 | + | 2.62137i | 0.438832 | + | 0.117585i | ||||
\(498\) | −45.4958 | − | 35.8540i | −2.03871 | − | 1.60666i | ||||
\(499\) | −5.97756 | −0.267592 | −0.133796 | − | 0.991009i | \(-0.542717\pi\) | ||||
−0.133796 | + | 0.991009i | \(0.542717\pi\) | |||||||
\(500\) | −9.93427 | − | 20.0327i | −0.444274 | − | 0.895891i | ||||
\(501\) | 0.158304 | − | 0.274191i | 0.00707250 | − | 0.0122499i | ||||
\(502\) | 2.93273 | − | 20.2499i | 0.130894 | − | 0.903798i | ||||
\(503\) | 0.907952 | + | 3.38852i | 0.0404836 | + | 0.151087i | 0.983209 | − | 0.182483i | \(-0.0584134\pi\) |
−0.942725 | + | 0.333570i | \(0.891747\pi\) | |||||||
\(504\) | 9.62726 | + | 7.99896i | 0.428832 | + | 0.356302i | ||||
\(505\) | −3.59275 | + | 1.62114i | −0.159875 | + | 0.0721396i | ||||
\(506\) | −0.598340 | − | 0.801003i | −0.0265995 | − | 0.0356089i | ||||
\(507\) | 14.6203 | + | 31.3758i | 0.649309 | + | 1.39345i | ||||
\(508\) | 18.7680 | + | 34.5396i | 0.832696 | + | 1.53245i | ||||
\(509\) | −9.19146 | + | 5.30669i | −0.407404 | + | 0.235215i | −0.689674 | − | 0.724120i | \(-0.742246\pi\) |
0.282269 | + | 0.959335i | \(0.408913\pi\) | |||||||
\(510\) | −14.0288 | − | 48.7784i | −0.621207 | − | 2.15995i | ||||
\(511\) | −4.53013 | − | 2.61547i | −0.200401 | − | 0.115702i | ||||
\(512\) | 6.17390 | + | 21.7689i | 0.272850 | + | 0.962057i | ||||
\(513\) | 11.0732 | − | 2.96706i | 0.488894 | − | 0.130999i | ||||
\(514\) | −1.76949 | − | 14.9295i | −0.0780489 | − | 0.658514i | ||||
\(515\) | 12.6973 | + | 15.5208i | 0.559511 | + | 0.683928i | ||||
\(516\) | 7.33357 | + | 7.72294i | 0.322843 | + | 0.339983i | ||||
\(517\) | −2.03483 | − | 0.545231i | −0.0894916 | − | 0.0239792i | ||||
\(518\) | 2.90781 | + | 7.28503i | 0.127762 | + | 0.320086i | ||||
\(519\) | 27.7754 | 1.21920 | ||||||||
\(520\) | −18.7803 | + | 12.9345i | −0.823571 | + | 0.567214i | ||||
\(521\) | −17.3003 | −0.757939 | −0.378970 | − | 0.925409i | \(-0.623722\pi\) | ||||
−0.378970 | + | 0.925409i | \(0.623722\pi\) | |||||||
\(522\) | 9.32315 | + | 23.3576i | 0.408063 | + | 1.02233i | ||||
\(523\) | 0.0828373 | + | 0.0221962i | 0.00362222 | + | 0.000970571i | 0.260630 | − | 0.965439i | \(-0.416070\pi\) |
−0.257007 | + | 0.966409i | \(0.582737\pi\) | |||||||
\(524\) | 22.1609 | + | 23.3375i | 0.968103 | + | 1.01950i | ||||
\(525\) | −14.1197 | − | 2.85416i | −0.616233 | − | 0.124566i | ||||
\(526\) | −0.846434 | − | 7.14152i | −0.0369063 | − | 0.311385i | ||||
\(527\) | −5.13209 | + | 1.37514i | −0.223557 | + | 0.0599020i | ||||
\(528\) | −0.547557 | − | 2.56783i | −0.0238294 | − | 0.111751i | ||||
\(529\) | −12.7958 | − | 7.38765i | −0.556339 | − | 0.321202i | ||||
\(530\) | 1.70982 | + | 0.945998i | 0.0742698 | + | 0.0410915i | ||||
\(531\) | −35.7171 | + | 20.6213i | −1.54999 | + | 0.894887i | ||||
\(532\) | 4.08131 | + | 7.51100i | 0.176947 | + | 0.325643i | ||||
\(533\) | −3.70191 | − | 42.3804i | −0.160347 | − | 1.83570i | ||||
\(534\) | −3.43443 | − | 4.59769i | −0.148622 | − | 0.198962i | ||||
\(535\) | 24.6988 | + | 9.33974i | 1.06782 | + | 0.403792i | ||||
\(536\) | −23.5281 | + | 28.3176i | −1.01626 | + | 1.22313i | ||||
\(537\) | −1.84459 | − | 6.88411i | −0.0796000 | − | 0.297071i | ||||
\(538\) | −0.453939 | + | 3.13436i | −0.0195707 | + | 0.135132i | ||||
\(539\) | −0.718498 | + | 1.24447i | −0.0309479 | + | 0.0536033i | ||||
\(540\) | −1.62559 | + | 12.8764i | −0.0699542 | + | 0.554113i | ||||
\(541\) | 36.6278 | 1.57475 | 0.787376 | − | 0.616473i | \(-0.211439\pi\) | ||||
0.787376 | + | 0.616473i | \(0.211439\pi\) | |||||||
\(542\) | 21.5800 | + | 17.0066i | 0.926938 | + | 0.730495i | ||||
\(543\) | 30.7872 | + | 8.24942i | 1.32121 | + | 0.354016i | ||||
\(544\) | −18.9674 | − | 28.3367i | −0.813219 | − | 1.21493i | ||||
\(545\) | −33.3178 | − | 3.33373i | −1.42718 | − | 0.142801i | ||||
\(546\) | −0.832483 | + | 14.6669i | −0.0356270 | + | 0.627686i | ||||
\(547\) | −1.18524 | − | 1.18524i | −0.0506772 | − | 0.0506772i | 0.681314 | − | 0.731991i | \(-0.261409\pi\) |
−0.731991 | + | 0.681314i | \(0.761409\pi\) | |||||||
\(548\) | 13.3370 | + | 8.16698i | 0.569730 | + | 0.348876i | ||||
\(549\) | −19.2394 | + | 11.1078i | −0.821116 | + | 0.474071i | ||||
\(550\) | 1.12816 | + | 1.32880i | 0.0481050 | + | 0.0566603i | ||||
\(551\) | 17.1758i | 0.731713i | ||||||||
\(552\) | 12.4741 | + | 17.6322i | 0.530935 | + | 0.750477i | ||||
\(553\) | 16.0602 | − | 4.30331i | 0.682948 | − | 0.182995i | ||||
\(554\) | 5.28832 | − | 3.95032i | 0.224679 | − | 0.167833i | ||||
\(555\) | −17.8161 | + | 24.7810i | −0.756250 | + | 1.05189i | ||||
\(556\) | 4.57450 | + | 19.0269i | 0.194002 | + | 0.806920i | ||||
\(557\) | 39.0961 | + | 10.4758i | 1.65655 | + | 0.443872i | 0.961437 | − | 0.275025i | \(-0.0886862\pi\) |
0.695116 | + | 0.718897i | \(0.255353\pi\) | |||||||
\(558\) | 5.04554 | + | 0.730730i | 0.213595 | + | 0.0309343i | ||||
\(559\) | −1.25310 | + | 7.10095i | −0.0530005 | + | 0.300338i | ||||
\(560\) | −9.61889 | + | 1.06591i | −0.406472 | + | 0.0450429i | ||||
\(561\) | 1.97832 | + | 3.42655i | 0.0835248 | + | 0.144669i | ||||
\(562\) | −15.5747 | − | 39.0200i | −0.656981 | − | 1.64596i | ||||
\(563\) | −6.67743 | − | 24.9205i | −0.281420 | − | 1.05027i | −0.951416 | − | 0.307909i | \(-0.900371\pi\) |
0.669996 | − | 0.742365i | \(-0.266296\pi\) | |||||||
\(564\) | 43.6387 | + | 12.9109i | 1.83752 | + | 0.543647i | ||||
\(565\) | 1.40081 | + | 8.56727i | 0.0589324 | + | 0.360428i | ||||
\(566\) | −0.633222 | − | 5.34262i | −0.0266163 | − | 0.224567i | ||||
\(567\) | −3.47532 | − | 3.47532i | −0.145950 | − | 0.145950i | ||||
\(568\) | 15.2909 | + | 21.6137i | 0.641591 | + | 0.906891i | ||||
\(569\) | 22.8906 | − | 13.2159i | 0.959622 | − | 0.554038i | 0.0635652 | − | 0.997978i | \(-0.479753\pi\) |
0.896057 | + | 0.443940i | \(0.146420\pi\) | |||||||
\(570\) | −16.1022 | + | 29.1036i | −0.674449 | + | 1.21902i | ||||
\(571\) | − | 3.87191i | − | 0.162034i | −0.996713 | − | 0.0810172i | \(-0.974183\pi\) | ||
0.996713 | − | 0.0810172i | \(-0.0258169\pi\) | |||||||
\(572\) | 1.17765 | − | 1.33159i | 0.0492400 | − | 0.0556767i | ||||
\(573\) | 24.2297 | + | 24.2297i | 1.01221 | + | 1.01221i | ||||
\(574\) | 7.12425 | − | 16.5896i | 0.297361 | − | 0.692436i | ||||
\(575\) | −12.8408 | − | 6.38203i | −0.535500 | − | 0.266149i | ||||
\(576\) | 5.99404 | + | 32.1656i | 0.249752 | + | 1.34023i | ||||
\(577\) | −5.85933 | + | 5.85933i | −0.243927 | + | 0.243927i | −0.818473 | − | 0.574546i | \(-0.805179\pi\) |
0.574546 | + | 0.818473i | \(0.305179\pi\) | |||||||
\(578\) | 21.4767 | + | 16.9252i | 0.893312 | + | 0.703995i | ||||
\(579\) | 8.39587 | − | 14.5421i | 0.348921 | − | 0.604348i | ||||
\(580\) | −18.0045 | − | 7.34575i | −0.747595 | − | 0.305016i | ||||
\(581\) | 8.32214 | − | 14.4144i | 0.345261 | − | 0.598009i | ||||
\(582\) | −45.2098 | + | 18.0454i | −1.87400 | + | 0.748006i | ||||
\(583\) | −0.147138 | − | 0.0394256i | −0.00609385 | − | 0.00163284i | ||||
\(584\) | −4.73906 | − | 12.8265i | −0.196104 | − | 0.530764i | ||||
\(585\) | −28.7617 | + | 16.1259i | −1.18915 | + | 0.666725i | ||||
\(586\) | 6.21012 | + | 8.31354i | 0.256538 | + | 0.343429i | ||||
\(587\) | 2.52204 | − | 9.41236i | 0.104096 | − | 0.388490i | −0.894145 | − | 0.447777i | \(-0.852216\pi\) |
0.998241 | + | 0.0592868i | \(0.0188826\pi\) | |||||||
\(588\) | 16.2113 | − | 26.4738i | 0.668543 | − | 1.09176i | ||||
\(589\) | 3.01531 | + | 1.74089i | 0.124244 | + | 0.0717322i | ||||
\(590\) | 7.68995 | − | 30.9471i | 0.316590 | − | 1.27407i | ||||
\(591\) | −54.1440 | − | 31.2601i | −2.22719 | − | 1.28587i | ||||
\(592\) | −6.32352 | + | 19.5050i | −0.259895 | + | 0.801650i | ||||
\(593\) | 22.1003 | + | 22.1003i | 0.907550 | + | 0.907550i | 0.996074 | − | 0.0885244i | \(-0.0282151\pi\) |
−0.0885244 | + | 0.996074i | \(0.528215\pi\) | |||||||
\(594\) | −0.119081 | − | 1.00471i | −0.00488596 | − | 0.0412238i | ||||
\(595\) | 13.2935 | − | 5.99834i | 0.544979 | − | 0.245908i | ||||
\(596\) | 4.41400 | − | 1.06123i | 0.180804 | − | 0.0434696i | ||||
\(597\) | −12.5595 | + | 12.5595i | −0.514026 | + | 0.514026i | ||||
\(598\) | −4.57916 | + | 13.8879i | −0.187256 | + | 0.567918i | ||||
\(599\) | −39.1769 | −1.60073 | −0.800363 | − | 0.599515i | \(-0.795360\pi\) | ||||
−0.800363 | + | 0.599515i | \(0.795360\pi\) | |||||||
\(600\) | −23.6211 | − | 29.3262i | −0.964329 | − | 1.19724i | ||||
\(601\) | −17.2215 | − | 29.8285i | −0.702480 | − | 1.21673i | −0.967593 | − | 0.252514i | \(-0.918743\pi\) |
0.265113 | − | 0.964217i | \(-0.414591\pi\) | |||||||
\(602\) | −1.89416 | + | 2.40353i | −0.0772001 | + | 0.0979606i | ||||
\(603\) | −37.6441 | + | 37.6441i | −1.53299 | + | 1.53299i | ||||
\(604\) | −3.52687 | − | 3.71413i | −0.143506 | − | 0.151126i | ||||
\(605\) | 19.8608 | + | 14.2787i | 0.807456 | + | 0.580514i | ||||
\(606\) | −5.31785 | + | 3.97238i | −0.216023 | + | 0.161367i | ||||
\(607\) | 29.6137 | − | 7.93497i | 1.20198 | − | 0.322071i | 0.398372 | − | 0.917224i | \(-0.369575\pi\) |
0.803612 | + | 0.595153i | \(0.202909\pi\) | |||||||
\(608\) | −4.34156 | + | 21.9197i | −0.176074 | + | 0.888962i | ||||
\(609\) | −10.8488 | + | 6.26356i | −0.439616 | + | 0.253812i | ||||
\(610\) | 4.14226 | − | 16.6700i | 0.167715 | − | 0.674948i | ||||
\(611\) | 10.5342 | + | 28.9549i | 0.426167 | + | 1.17139i | ||||
\(612\) | −23.5414 | − | 43.3242i | −0.951604 | − | 1.75128i | ||||
\(613\) | −11.3893 | + | 42.5056i | −0.460011 | + | 1.71679i | 0.212910 | + | 0.977072i | \(0.431706\pi\) |
−0.672921 | + | 0.739714i | \(0.734961\pi\) | |||||||
\(614\) | −1.54974 | + | 3.60875i | −0.0625426 | + | 0.145637i | ||||
\(615\) | 69.3298 | − | 11.3359i | 2.79565 | − | 0.457107i | ||||
\(616\) | 0.707669 | − | 0.261466i | 0.0285128 | − | 0.0105347i | ||||
\(617\) | −0.0811381 | − | 0.302811i | −0.00326650 | − | 0.0121907i | 0.964273 | − | 0.264909i | \(-0.0853420\pi\) |
−0.967540 | + | 0.252719i | \(0.918675\pi\) | |||||||
\(618\) | 26.5233 | + | 20.9023i | 1.06692 | + | 0.840813i | ||||
\(619\) | 15.7321 | 0.632325 | 0.316163 | − | 0.948705i | \(-0.397606\pi\) | ||||
0.316163 | + | 0.948705i | \(0.397606\pi\) | |||||||
\(620\) | −3.11448 | + | 2.41625i | −0.125080 | + | 0.0970389i | ||||
\(621\) | 4.16144 | + | 7.20782i | 0.166993 | + | 0.289240i | ||||
\(622\) | 20.7413 | − | 8.27887i | 0.831652 | − | 0.331953i | ||||
\(623\) | 1.16601 | − | 1.16601i | 0.0467152 | − | 0.0467152i | ||||
\(624\) | −26.1756 | + | 28.0988i | −1.04786 | + | 1.12485i | ||||
\(625\) | 23.0372 | + | 9.71028i | 0.921486 | + | 0.388411i | ||||
\(626\) | −4.80511 | + | 11.1892i | −0.192051 | + | 0.447211i | ||||
\(627\) | 0.671081 | − | 2.50451i | 0.0268004 | − | 0.100020i | ||||
\(628\) | 0.232524 | − | 8.99159i | 0.00927870 | − | 0.358804i | ||||
\(629\) | − | 30.8996i | − | 1.23205i | ||||||
\(630\) | −13.9918 | + | 0.255319i | −0.557445 | + | 0.0101722i | ||||
\(631\) | −31.8425 | − | 18.3843i | −1.26763 | − | 0.731866i | −0.293091 | − | 0.956085i | \(-0.594684\pi\) |
−0.974539 | + | 0.224218i | \(0.928017\pi\) | |||||||
\(632\) | 39.4796 | + | 18.1770i | 1.57042 | + | 0.723042i | ||||
\(633\) | 61.8891 | − | 16.5831i | 2.45987 | − | 0.659120i | ||||
\(634\) | 6.98937 | + | 3.00152i | 0.277583 | + | 0.119206i | ||||
\(635\) | −41.1082 | − | 15.5449i | −1.63133 | − | 0.616880i | ||||
\(636\) | 3.15551 | + | 0.933588i | 0.125124 | + | 0.0370192i | ||||
\(637\) | 20.9380 | − | 1.82892i | 0.829593 | − | 0.0724646i | ||||
\(638\) | 1.50020 | + | 0.217270i | 0.0593936 | + | 0.00860178i | ||||
\(639\) | 19.1420 | + | 33.1549i | 0.757245 | + | 1.31159i | ||||
\(640\) | −21.1205 | − | 13.9257i | −0.834861 | − | 0.550461i | ||||
\(641\) | 6.68010 | − | 11.5703i | 0.263848 | − | 0.456999i | −0.703413 | − | 0.710781i | \(-0.748342\pi\) |
0.967261 | + | 0.253783i | \(0.0816749\pi\) | |||||||
\(642\) | 44.0089 | + | 6.37367i | 1.73689 | + | 0.251549i | ||||
\(643\) | −1.34785 | − | 5.03024i | −0.0531539 | − | 0.198373i | 0.934243 | − | 0.356637i | \(-0.116077\pi\) |
−0.987397 | + | 0.158264i | \(0.949410\pi\) | |||||||
\(644\) | −4.50037 | + | 4.27348i | −0.177339 | + | 0.168399i | ||||
\(645\) | −11.8480 | − | 1.18550i | −0.466516 | − | 0.0466789i | ||||
\(646\) | −3.96341 | − | 33.4400i | −0.155938 | − | 1.31568i | ||||
\(647\) | 10.2230 | − | 38.1529i | 0.401909 | − | 1.49995i | −0.407776 | − | 0.913082i | \(-0.633696\pi\) |
0.809686 | − | 0.586864i | \(-0.199638\pi\) | |||||||
\(648\) | −1.18183 | − | 12.7932i | −0.0464267 | − | 0.502564i | ||||
\(649\) | 2.48584i | 0.0975776i | ||||||||
\(650\) | 6.45943 | − | 24.6632i | 0.253360 | − | 0.967372i | ||||
\(651\) | 2.53943i | 0.0995282i | ||||||||
\(652\) | 25.6311 | + | 15.6953i | 1.00379 | + | 0.614675i | ||||
\(653\) | −5.41449 | + | 20.2071i | −0.211885 | + | 0.790767i | 0.775354 | + | 0.631526i | \(0.217571\pi\) |
−0.987240 | + | 0.159241i | \(0.949095\pi\) | |||||||
\(654\) | −55.9965 | + | 6.63686i | −2.18964 | + | 0.259522i | ||||
\(655\) | −35.8029 | − | 3.58239i | −1.39893 | − | 0.139975i | ||||
\(656\) | 42.0378 | − | 21.4538i | 1.64130 | − | 0.837631i | ||||
\(657\) | −5.11753 | − | 19.0989i | −0.199654 | − | 0.745119i | ||||
\(658\) | −1.87426 | + | 12.9414i | −0.0730661 | + | 0.504507i | ||||
\(659\) | −14.3212 | + | 24.8051i | −0.557876 | + | 0.966270i | 0.439797 | + | 0.898097i | \(0.355050\pi\) |
−0.997674 | + | 0.0681727i | \(0.978283\pi\) | |||||||
\(660\) | 2.33833 | + | 1.77459i | 0.0910196 | + | 0.0690758i | ||||
\(661\) | −1.45694 | − | 2.52349i | −0.0566683 | − | 0.0981524i | 0.836300 | − | 0.548273i | \(-0.184714\pi\) |
−0.892968 | + | 0.450120i | \(0.851381\pi\) | |||||||
\(662\) | 0.146147 | − | 1.00911i | 0.00568016 | − | 0.0392203i | ||||
\(663\) | 24.4643 | − | 52.4451i | 0.950116 | − | 2.03680i | ||||
\(664\) | 40.8125 | − | 15.0792i | 1.58383 | − | 0.585185i | ||||
\(665\) | −8.93942 | − | 3.38041i | −0.346656 | − | 0.131087i | ||||
\(666\) | −11.6995 | + | 27.2436i | −0.453347 | + | 1.05567i | ||||
\(667\) | −12.0449 | + | 3.22743i | −0.466381 | + | 0.124967i | ||||
\(668\) | 0.113541 | + | 0.208955i | 0.00439305 | + | 0.00808472i | ||||
\(669\) | −32.8186 | − | 18.9478i | −1.26884 | − | 0.732566i | ||||
\(670\) | −0.750994 | − | 41.1552i | −0.0290134 | − | 1.58997i | ||||
\(671\) | 1.33902i | 0.0516923i | ||||||||
\(672\) | −15.4285 | + | 5.25128i | −0.595167 | + | 0.202572i | ||||
\(673\) | 5.47091 | − | 20.4177i | 0.210888 | − | 0.787045i | −0.776686 | − | 0.629888i | \(-0.783101\pi\) |
0.987574 | − | 0.157156i | \(-0.0502327\pi\) | |||||||
\(674\) | 23.5772 | + | 10.1250i | 0.908159 | + | 0.390001i | ||||
\(675\) | −8.02414 | − | 12.0900i | −0.308849 | − | 0.465346i | ||||
\(676\) | −25.8330 | − | 2.94200i | −0.993577 | − | 0.113154i | ||||
\(677\) | −26.0071 | + | 26.0071i | −0.999536 | + | 0.999536i | −1.00000 | 0.000464386i | \(-0.999852\pi\) | |
0.000464386 | 1.00000i | \(0.499852\pi\) | ||||||||
\(678\) | 5.41945 | + | 13.5775i | 0.208133 | + | 0.521442i | ||||
\(679\) | −6.99356 | − | 12.1132i | −0.268388 | − | 0.464862i | ||||
\(680\) | 36.7485 | + | 10.1470i | 1.40924 | + | 0.389120i | ||||
\(681\) | 37.8964 | 1.45219 | ||||||||
\(682\) | 0.190200 | − | 0.241348i | 0.00728312 | − | 0.00924169i | ||||
\(683\) | −0.537138 | − | 2.00463i | −0.0205530 | − | 0.0767049i | 0.954888 | − | 0.296967i | \(-0.0959753\pi\) |
−0.975441 | + | 0.220262i | \(0.929309\pi\) | |||||||
\(684\) | −9.16695 | + | 30.9841i | −0.350507 | + | 1.18471i | ||||
\(685\) | −17.2557 | + | 2.82143i | −0.659307 | + | 0.107801i | ||||
\(686\) | 18.0382 | + | 7.74636i | 0.688703 | + | 0.295757i | ||||
\(687\) | 11.7852 | − | 43.9830i | 0.449634 | − | 1.67806i | ||||
\(688\) | −7.82363 | + | 1.66829i | −0.298273 | + | 0.0636029i | ||||
\(689\) | 0.761727 | + | 2.09373i | 0.0290195 | + | 0.0797646i | ||||
\(690\) | −23.4353 | − | 5.82335i | −0.892166 | − | 0.221691i | ||||
\(691\) | −11.1927 | + | 6.46213i | −0.425792 | + | 0.245831i | −0.697552 | − | 0.716534i | \(-0.745728\pi\) |
0.271760 | + | 0.962365i | \(0.412394\pi\) | |||||||
\(692\) | −10.8949 | + | 17.7919i | −0.414162 | + | 0.676346i | ||||
\(693\) | 1.05373 | − | 0.282347i | 0.0400280 | − | 0.0107255i | ||||
\(694\) | 1.89010 | + | 2.53030i | 0.0717473 | + | 0.0960487i | ||||
\(695\) | −17.7644 | − | 12.7715i | −0.673841 | − | 0.484452i | ||||
\(696\) | −32.2763 | − | 5.52985i | −1.22343 | − | 0.209609i | ||||
\(697\) | −50.2913 | + | 50.2913i | −1.90492 | + | 1.90492i | ||||
\(698\) | 4.14857 | + | 3.26938i | 0.157026 | + | 0.123748i | ||||
\(699\) | 5.34531 | + | 9.25835i | 0.202178 | + | 0.350183i | ||||
\(700\) | 7.36672 | − | 7.92499i | 0.278436 | − | 0.299536i | ||||
\(701\) | −13.8135 | −0.521729 | −0.260865 | − | 0.965375i | \(-0.584008\pi\) | ||||
−0.260865 | + | 0.965375i | \(0.584008\pi\) | |||||||
\(702\) | −11.0398 | + | 9.85393i | −0.416672 | + | 0.371913i | ||||
\(703\) | −14.3182 | + | 14.3182i | −0.540022 | + | 0.540022i | ||||
\(704\) | 1.85964 | + | 0.656489i | 0.0700877 | + | 0.0247424i | ||||
\(705\) | −46.3773 | + | 20.9266i | −1.74667 | + | 0.788142i | ||||
\(706\) | 18.6942 | − | 2.21570i | 0.703567 | − | 0.0833888i | ||||
\(707\) | −1.34865 | − | 1.34865i | −0.0507211 | − | 0.0507211i | ||||
\(708\) | 1.38825 | − | 53.6829i | 0.0521735 | − | 2.01753i | ||||
\(709\) | 13.8539 | + | 7.99857i | 0.520295 | + | 0.300393i | 0.737056 | − | 0.675832i | \(-0.236216\pi\) |
−0.216760 | + | 0.976225i | \(0.569549\pi\) | |||||||
\(710\) | −28.7271 | − | 7.13830i | −1.07811 | − | 0.267896i | ||||
\(711\) | 54.4279 | + | 31.4239i | 2.04120 | + | 1.17849i | ||||
\(712\) | 4.29227 | − | 0.396518i | 0.160860 | − | 0.0148601i | ||||
\(713\) | −0.654248 | + | 2.44169i | −0.0245018 | + | 0.0914418i | ||||
\(714\) | 19.6765 | − | 14.6981i | 0.736374 | − | 0.550063i | ||||
\(715\) | −0.0250378 | + | 1.98730i | −0.000936359 | + | 0.0743209i | ||||
\(716\) | 5.13325 | + | 1.51872i | 0.191839 | + | 0.0567572i | ||||
\(717\) | 35.5231 | + | 9.51839i | 1.32664 | + | 0.355471i | ||||
\(718\) | 10.2805 | + | 25.7561i | 0.383664 | + | 0.961208i | ||||
\(719\) | −6.69228 | + | 11.5914i | −0.249580 | + | 0.432285i | −0.963409 | − | 0.268035i | \(-0.913626\pi\) |
0.713829 | + | 0.700320i | \(0.246959\pi\) | |||||||
\(720\) | −28.5585 | − | 22.8605i | −1.06431 | − | 0.851962i | ||||
\(721\) | −4.85167 | + | 8.40334i | −0.180686 | + | 0.312957i | ||||
\(722\) | 2.97281 | − | 3.77225i | 0.110637 | − | 0.140389i | ||||
\(723\) | 9.01594 | − | 9.01594i | 0.335306 | − | 0.335306i | ||||
\(724\) | −17.3606 | + | 16.4853i | −0.645201 | + | 0.612672i | ||||
\(725\) | 20.6084 | − | 6.92434i | 0.765376 | − | 0.257163i | ||||
\(726\) | 37.8503 | + | 16.2545i | 1.40476 | + | 0.603260i | ||||
\(727\) | −34.3031 | − | 34.3031i | −1.27223 | − | 1.27223i | −0.944915 | − | 0.327317i | \(-0.893856\pi\) |
−0.327317 | − | 0.944915i | \(-0.606144\pi\) | |||||||
\(728\) | −9.06855 | − | 6.28637i | −0.336103 | − | 0.232988i | ||||
\(729\) | − | 41.7600i | − | 1.54667i | ||||||
\(730\) | 13.3770 | + | 7.40116i | 0.495106 | + | 0.273929i | ||||
\(731\) | 10.4400 | − | 6.02752i | 0.386136 | − | 0.222936i | ||||
\(732\) | 0.747793 | − | 28.9168i | 0.0276392 | − | 1.06880i | ||||
\(733\) | −25.4810 | − | 25.4810i | −0.941161 | − | 0.941161i | 0.0572021 | − | 0.998363i | \(-0.481782\pi\) |
−0.998363 | + | 0.0572021i | \(0.981782\pi\) | |||||||
\(734\) | 16.4043 | − | 1.94429i | 0.605494 | − | 0.0717649i | ||||
\(735\) | 5.60049 | + | 34.2523i | 0.206577 | + | 1.26342i | ||||
\(736\) | −16.1875 | + | 1.07422i | −0.596681 | + | 0.0395963i | ||||
\(737\) | 0.830492 | + | 3.09944i | 0.0305916 | + | 0.114169i | ||||
\(738\) | 63.3828 | − | 25.2991i | 2.33315 | − | 0.931274i | ||||
\(739\) | 22.9546 | + | 39.7586i | 0.844399 | + | 1.46254i | 0.886142 | + | 0.463414i | \(0.153376\pi\) |
−0.0417423 | + | 0.999128i | \(0.513291\pi\) | |||||||
\(740\) | −8.88541 | − | 21.1327i | −0.326634 | − | 0.776852i | ||||
\(741\) | −35.6382 | + | 12.9657i | −1.30920 | + | 0.476306i | ||||
\(742\) | −0.135527 | + | 0.935789i | −0.00497537 | + | 0.0343539i | ||||
\(743\) | 22.8756 | + | 6.12949i | 0.839224 | + | 0.224869i | 0.652734 | − | 0.757588i | \(-0.273622\pi\) |
0.186490 | + | 0.982457i | \(0.440289\pi\) | |||||||
\(744\) | −4.24224 | + | 5.10581i | −0.155528 | + | 0.187188i | ||||
\(745\) | −2.96284 | + | 4.12111i | −0.108550 | + | 0.150986i | ||||
\(746\) | 4.99735 | + | 6.69000i | 0.182966 | + | 0.244938i | ||||
\(747\) | 60.7705 | − | 16.2834i | 2.22348 | − | 0.595779i | ||||
\(748\) | −2.97092 | − | 0.0768284i | −0.108628 | − | 0.00280912i | ||||
\(749\) | 12.7774i | 0.466876i | ||||||||
\(750\) | 41.4115 | + | 7.58731i | 1.51213 | + | 0.277049i | ||||
\(751\) | 32.5336 | − | 18.7833i | 1.18717 | − | 0.685413i | 0.229507 | − | 0.973307i | \(-0.426288\pi\) |
0.957662 | + | 0.287894i | \(0.0929551\pi\) | |||||||
\(752\) | −25.3875 | + | 22.8890i | −0.925789 | + | 0.834676i | ||||
\(753\) | 27.2409 | + | 27.2409i | 0.992713 | + | 0.992713i | ||||
\(754\) | −9.97967 | − | 19.7981i | −0.363438 | − | 0.721003i | ||||
\(755\) | 5.69798 | + | 0.570132i | 0.207371 | + | 0.0207492i | ||||
\(756\) | −6.10621 | + | 1.46807i | −0.222081 | + | 0.0533933i | ||||
\(757\) | 0.558734 | + | 0.149712i | 0.0203075 | + | 0.00544138i | 0.268959 | − | 0.963152i | \(-0.413321\pi\) |
−0.248651 | + | 0.968593i | \(0.579987\pi\) | |||||||
\(758\) | −2.49130 | + | 3.16125i | −0.0904880 | + | 0.114822i | ||||
\(759\) | 1.88245 | 0.0683284 | ||||||||
\(760\) | −12.3266 | − | 21.7304i | −0.447131 | − | 0.788245i | ||||
\(761\) | −17.4636 | + | 30.2478i | −0.633055 | + | 1.09648i | 0.353869 | + | 0.935295i | \(0.384866\pi\) |
−0.986924 | + | 0.161188i | \(0.948467\pi\) | |||||||
\(762\) | −73.2476 | − | 10.6082i | −2.65348 | − | 0.384295i | ||||
\(763\) | −4.19354 | − | 15.6505i | −0.151816 | − | 0.566586i | ||||
\(764\) | −25.0247 | + | 6.01652i | −0.905363 | + | 0.217670i | ||||
\(765\) | 51.5634 | + | 19.4985i | 1.86428 | + | 0.704970i | ||||
\(766\) | −15.0698 | + | 11.2570i | −0.544495 | + | 0.406732i | ||||
\(767\) | 29.7858 | − | 20.8501i | 1.07550 | − | 0.752854i | ||||
\(768\) | −39.7932 | − | 15.2158i | −1.43591 | − | 0.549051i | ||||
\(769\) | −2.42207 | + | 1.39838i | −0.0873422 | + | 0.0504270i | −0.543035 | − | 0.839710i | \(-0.682725\pi\) |
0.455693 | + | 0.890137i | \(0.349392\pi\) | |||||||
\(770\) | −0.408340 | + | 0.738043i | −0.0147155 | + | 0.0265972i | ||||
\(771\) | 24.5139 | + | 14.1531i | 0.882845 | + | 0.509711i | ||||
\(772\) | 6.02183 | + | 11.0822i | 0.216730 | + | 0.398858i | ||||
\(773\) | −2.43164 | + | 0.651555i | −0.0874599 | + | 0.0234348i | −0.302284 | − | 0.953218i | \(-0.597749\pi\) |
0.214824 | + | 0.976653i | \(0.431082\pi\) | |||||||
\(774\) | −11.4869 | + | 1.36146i | −0.412889 | + | 0.0489368i | ||||
\(775\) | 0.873201 | − | 4.31976i | 0.0313663 | − | 0.155170i | ||||
\(776\) | 6.17435 | − | 36.0380i | 0.221646 | − | 1.29369i | ||||
\(777\) | −14.2653 | − | 3.82239i | −0.511766 | − | 0.137127i | ||||
\(778\) | 30.2622 | − | 12.0791i | 1.08495 | − | 0.433056i | ||||
\(779\) | 46.6079 | 1.66990 | ||||||||
\(780\) | 1.65054 | − | 42.9028i | 0.0590987 | − | 1.53617i | ||||
\(781\) | 2.30751 | 0.0825693 | ||||||||
\(782\) | 22.7059 | − | 9.06300i | 0.811960 | − | 0.324092i | ||||
\(783\) | −12.1887 | − | 3.26596i | −0.435589 | − | 0.116716i | ||||
\(784\) | 10.5992 | + | 20.7687i | 0.378544 | + | 0.741741i | ||||
\(785\) | 6.36756 | + | 7.78349i | 0.227268 | + | 0.277805i | ||||
\(786\) | −60.1731 | + | 7.13189i | −2.14630 | + | 0.254386i | ||||
\(787\) | 31.5722 | − | 8.45975i | 1.12543 | − | 0.301557i | 0.352350 | − | 0.935868i | \(-0.385383\pi\) |
0.773078 | + | 0.634311i | \(0.218716\pi\) | |||||||
\(788\) | 41.2621 | − | 22.4209i | 1.46990 | − | 0.798710i | ||||
\(789\) | 11.7262 | + | 6.77011i | 0.417463 | + | 0.241022i | ||||
\(790\) | −46.7002 | + | 13.4311i | −1.66152 | + | 0.477858i | ||||
\(791\) | −3.63787 | + | 2.10033i | −0.129348 | + | 0.0746790i | ||||
\(792\) | 2.59032 | + | 1.19262i | 0.0920430 | + | 0.0423779i | ||||
\(793\) | 16.0444 | − | 11.2311i | 0.569753 | − | 0.398829i | ||||
\(794\) | −23.7695 | + | 17.7556i | −0.843549 | + | 0.630122i | ||||
\(795\) | −3.35355 | + | 1.51320i | −0.118938 | + | 0.0536678i | ||||
\(796\) | −3.11868 | − | 12.9716i | −0.110539 | − | 0.459767i | ||||
\(797\) | 10.2335 | + | 38.1918i | 0.362488 | + | 1.35282i | 0.870795 | + | 0.491647i | \(0.163605\pi\) |
−0.508307 | + | 0.861176i | \(0.669728\pi\) | |||||||
\(798\) | −15.9285 | − | 2.30687i | −0.563862 | − | 0.0816624i | ||||
\(799\) | 25.7559 | − | 44.6105i | 0.911178 | − | 1.57821i | ||||
\(800\) | 28.0507 | − | 3.62761i | 0.991741 | − | 0.128256i | ||||
\(801\) | 6.23307 | 0.220235 | ||||||||
\(802\) | −0.889401 | + | 1.12858i | −0.0314058 | + | 0.0398515i | ||||
\(803\) | −1.15116 | − | 0.308452i | −0.0406235 | − | 0.0108850i | ||||
\(804\) | −16.2040 | − | 67.3978i | −0.571471 | − | 2.37694i | ||||
\(805\) | 0.690823 | − | 6.90418i | 0.0243483 | − | 0.243340i | ||||
\(806\) | −4.48719 | − | 0.254689i | −0.158054 | − | 0.00897104i | ||||
\(807\) | −4.21645 | − | 4.21645i | −0.148426 | − | 0.148426i | ||||
\(808\) | −0.458626 | − | 4.96459i | −0.0161344 | − | 0.174653i | ||||
\(809\) | 22.6441 | − | 13.0736i | 0.796125 | − | 0.459643i | −0.0459892 | − | 0.998942i | \(-0.514644\pi\) |
0.842115 | + | 0.539299i | \(0.181311\pi\) | |||||||
\(810\) | 10.3406 | + | 9.96997i | 0.363331 | + | 0.350309i | ||||
\(811\) | − | 35.8917i | − | 1.26033i | −0.776461 | − | 0.630165i | \(-0.782987\pi\) | ||
0.776461 | − | 0.630165i | \(-0.217013\pi\) | |||||||
\(812\) | 0.243246 | − | 9.40623i | 0.00853627 | − | 0.330094i | ||||
\(813\) | −49.9688 | + | 13.3891i | −1.75248 | + | 0.469576i | ||||
\(814\) | 1.06949 | + | 1.43173i | 0.0374855 | + | 0.0501822i | ||||
\(815\) | −33.1620 | + | 5.42221i | −1.16161 | + | 0.189932i | ||||
\(816\) | 64.1157 | + | 3.31830i | 2.24450 | + | 0.116164i | ||||
\(817\) | −7.63069 | − | 2.04464i | −0.266964 | − | 0.0715328i | ||||
\(818\) | 0.740629 | − | 5.11389i | 0.0258955 | − | 0.178803i | ||||
\(819\) | −12.2214 | − | 10.2578i | −0.427049 | − | 0.358437i | ||||
\(820\) | −19.9333 | + | 48.8566i | −0.696101 | + | 1.70615i | ||||
\(821\) | −13.6914 | − | 23.7141i | −0.477832 | − | 0.827629i | 0.521845 | − | 0.853040i | \(-0.325244\pi\) |
−0.999677 | + | 0.0254113i | \(0.991910\pi\) | |||||||
\(822\) | −27.3471 | + | 10.9155i | −0.953840 | + | 0.380723i | ||||
\(823\) | −4.62143 | − | 17.2474i | −0.161093 | − | 0.601207i | −0.998506 | − | 0.0546370i | \(-0.982600\pi\) |
0.837413 | − | 0.546570i | \(-0.184067\pi\) | |||||||
\(824\) | −23.7930 | + | 8.79091i | −0.828869 | + | 0.306246i | ||||
\(825\) | −3.27558 | + | 0.204484i | −0.114041 | + | 0.00711922i | ||||
\(826\) | 15.3231 | − | 1.81614i | 0.533159 | − | 0.0631916i | ||||
\(827\) | −4.36878 | − | 4.36878i | −0.151917 | − | 0.151917i | 0.627056 | − | 0.778974i | \(-0.284260\pi\) |
−0.778974 | + | 0.627056i | \(0.784260\pi\) | |||||||
\(828\) | −23.4509 | − | 0.606443i | −0.814974 | − | 0.0210753i | ||||
\(829\) | 30.5354 | − | 17.6296i | 1.06054 | − | 0.612303i | 0.134958 | − | 0.990851i | \(-0.456910\pi\) |
0.925581 | + | 0.378548i | \(0.123577\pi\) | |||||||
\(830\) | −23.5497 | + | 42.5642i | −0.817421 | + | 1.47743i | ||||
\(831\) | 12.4281i | 0.431127i | ||||||||
\(832\) | −7.73165 | − | 27.7889i | −0.268047 | − | 0.963406i | ||||
\(833\) | −24.8464 | − | 24.8464i | −0.860876 | − | 0.860876i | ||||
\(834\) | −33.8550 | − | 14.5387i | −1.17230 | − | 0.503435i | ||||
\(835\) | −0.248693 | − | 0.0940424i | −0.00860639 | − | 0.00325447i | ||||
\(836\) | 1.34106 | + | 1.41226i | 0.0463816 | + | 0.0488442i | ||||
\(837\) | −1.80878 | + | 1.80878i | −0.0625204 | + | 0.0625204i | ||||
\(838\) | −5.20088 | + | 6.59949i | −0.179661 | + | 0.227976i | ||||
\(839\) | 6.82002 | − | 11.8126i | 0.235453 | − | 0.407817i | −0.723951 | − | 0.689851i | \(-0.757676\pi\) |
0.959404 | + | 0.282034i | \(0.0910093\pi\) | |||||||
\(840\) | 9.23048 | − | 15.7104i | 0.318482 | − | 0.542060i | ||||
\(841\) | −5.04697 | + | 8.74162i | −0.174034 | + | 0.301435i | ||||
\(842\) | 1.72438 | + | 4.32014i | 0.0594260 | + | 0.148882i | ||||
\(843\) | 76.4078 | + | 20.4734i | 2.63162 | + | 0.705141i | ||||
\(844\) | −13.6535 | + | 46.1486i | −0.469973 | + | 1.58850i | ||||
\(845\) | 24.0223 | − | 16.3686i | 0.826391 | − | 0.563097i | ||||
\(846\) | −39.5994 | + | 29.5803i | −1.36146 | + | 1.01699i | ||||
\(847\) | −3.06347 | + | 11.4330i | −0.105262 | + | 0.392843i | ||||
\(848\) | −1.83577 | + | 1.65510i | −0.0630407 | + | 0.0568365i | ||||
\(849\) | 8.77242 | + | 5.06476i | 0.301069 | + | 0.173822i | ||||
\(850\) | −38.5252 | + | 18.2367i | −1.32140 | + | 0.625513i | ||||
\(851\) | −12.7315 | − | 7.35051i | −0.436429 | − | 0.251972i | ||||
\(852\) | −49.8320 | − | 1.28866i | −1.70721 | − | 0.0441488i | ||||
\(853\) | −2.95428 | − | 2.95428i | −0.101153 | − | 0.101153i | 0.654719 | − | 0.755872i | \(-0.272787\pi\) |
−0.755872 | + | 0.654719i | \(0.772787\pi\) | |||||||
\(854\) | 8.25394 | − | 0.978281i | 0.282444 | − | 0.0334761i | ||||
\(855\) | −14.8582 | − | 32.9286i | −0.508140 | − | 1.12614i | ||||
\(856\) | −21.3452 | + | 25.6904i | −0.729565 | + | 0.878079i | ||||
\(857\) | 32.5555 | − | 32.5555i | 1.11207 | − | 1.11207i | 0.119204 | − | 0.992870i | \(-0.461966\pi\) |
0.992870 | − | 0.119204i | \(-0.0380341\pi\) | |||||||
\(858\) | 0.681660 | + | 3.27680i | 0.0232715 | + | 0.111868i | ||||
\(859\) | 38.9402 | 1.32862 | 0.664310 | − | 0.747457i | \(-0.268725\pi\) | ||||
0.664310 | + | 0.747457i | \(0.268725\pi\) | |||||||
\(860\) | 5.40679 | − | 7.12440i | 0.184370 | − | 0.242940i | ||||
\(861\) | 16.9967 | + | 29.4391i | 0.579245 | + | 1.00328i | ||||
\(862\) | −3.04380 | − | 2.39873i | −0.103672 | − | 0.0817011i | ||||
\(863\) | −23.0099 | + | 23.0099i | −0.783267 | + | 0.783267i | −0.980381 | − | 0.197114i | \(-0.936843\pi\) |
0.197114 | + | 0.980381i | \(0.436843\pi\) | |||||||
\(864\) | −14.7297 | − | 7.24898i | −0.501114 | − | 0.246615i | ||||
\(865\) | −3.76384 | − | 23.0195i | −0.127974 | − | 0.782685i | ||||
\(866\) | −3.59720 | − | 4.81560i | −0.122238 | − | 0.163641i | ||||
\(867\) | −49.7297 | + | 13.3250i | −1.68891 | + | 0.452542i | ||||
\(868\) | −1.62667 | − | 0.996094i | −0.0552127 | − | 0.0338096i | ||||
\(869\) | 3.28056 | − | 1.89404i | 0.111286 | − | 0.0642507i | ||||
\(870\) | 31.3675 | − | 18.8813i | 1.06346 | − | 0.640137i | ||||
\(871\) | 30.1723 | − | 35.9478i | 1.02235 | − | 1.21805i | ||||
\(872\) | 17.7133 | − | 38.4726i | 0.599849 | − | 1.30285i | ||||
\(873\) | 13.6839 | − | 51.0689i | 0.463129 | − | 1.72842i | ||||
\(874\) | −14.7210 | − | 6.32182i | −0.497946 | − | 0.213839i | ||||
\(875\) | −0.452097 | + | 12.0888i | −0.0152837 | + | 0.408675i | ||||
\(876\) | 24.6876 | + | 7.30407i | 0.834118 | + | 0.246782i | ||||
\(877\) | 1.74328 | + | 6.50600i | 0.0588663 | + | 0.219692i | 0.989093 | − | 0.147294i | \(-0.0470563\pi\) |
−0.930226 | + | 0.366986i | \(0.880390\pi\) | |||||||
\(878\) | 23.0767 | − | 29.2824i | 0.778800 | − | 0.988233i | ||||
\(879\) | −19.5377 | −0.658991 | ||||||||
\(880\) | −2.05395 | + | 0.801767i | −0.0692386 | + | 0.0270276i | ||||
\(881\) | −16.6633 | − | 28.8616i | −0.561400 | − | 0.972374i | −0.997375 | − | 0.0724146i | \(-0.976930\pi\) |
0.435974 | − | 0.899959i | \(-0.356404\pi\) | |||||||
\(882\) | 12.4990 | + | 31.3142i | 0.420863 | + | 1.05440i | ||||
\(883\) | −11.4582 | + | 11.4582i | −0.385600 | + | 0.385600i | −0.873115 | − | 0.487515i | \(-0.837904\pi\) |
0.487515 | + | 0.873115i | \(0.337904\pi\) | |||||||
\(884\) | 23.9982 | + | 36.2426i | 0.807147 | + | 1.21897i | ||||
\(885\) | 38.0165 | + | 46.4701i | 1.27791 | + | 1.56208i | ||||
\(886\) | −49.4753 | − | 21.2467i | −1.66216 | − | 0.713798i | ||||
\(887\) | −12.7490 | + | 47.5798i | −0.428068 | + | 1.59757i | 0.329061 | + | 0.944309i | \(0.393268\pi\) |
−0.757130 | + | 0.653265i | \(0.773399\pi\) | |||||||
\(888\) | −22.2966 | − | 31.5163i | −0.748224 | − | 1.05762i | ||||
\(889\) | − | 21.2665i | − | 0.713254i | ||||||
\(890\) | −3.34504 | + | 3.46939i | −0.112126 | + | 0.116294i | ||||
\(891\) | −0.969732 | − | 0.559875i | −0.0324872 | − | 0.0187565i | ||||
\(892\) | 25.0104 | − | 13.5901i | 0.837411 | − | 0.455030i | ||||
\(893\) | −32.6063 | + | 8.73684i | −1.09113 | + | 0.292367i | ||||
\(894\) | −3.37280 | + | 7.85394i | −0.112803 | + | 0.262675i | ||||
\(895\) | −5.45540 | + | 2.46161i | −0.182354 | + | 0.0822827i | ||||
\(896\) | 2.68806 | − | 11.9427i | 0.0898019 | − | 0.398979i | ||||
\(897\) | −15.7891 | − | 22.5558i | −0.527183 | − | 0.753117i | ||||
\(898\) | −1.23711 | + | 8.54197i | −0.0412828 | + | 0.285049i | ||||
\(899\) | −1.91627 | − | 3.31907i | −0.0639111 | − | 0.110697i | ||||
\(900\) | 40.8719 | − | 1.49214i | 1.36240 | − | 0.0497382i | ||||
\(901\) | 1.86241 | − | 3.22579i | 0.0620458 | − | 0.107467i | ||||
\(902\) | 0.589579 | − | 4.07092i | 0.0196308 | − | 0.135547i | ||||
\(903\) | −1.49125 | − | 5.56543i | −0.0496258 | − | 0.185206i | ||||
\(904\) | −10.8230 | − | 1.85430i | −0.359969 | − | 0.0616730i | ||||
\(905\) | 2.66491 | − | 26.6335i | 0.0885847 | − | 0.885327i | ||||
\(906\) | 9.57646 | − | 1.13503i | 0.318157 | − | 0.0377088i | ||||
\(907\) | −9.35147 | + | 34.9002i | −0.310511 | + | 1.15884i | 0.617587 | + | 0.786503i | \(0.288110\pi\) |
−0.928097 | + | 0.372338i | \(0.878556\pi\) | |||||||
\(908\) | −14.8649 | + | 24.2750i | −0.493308 | + | 0.805595i | ||||
\(909\) | − | 7.20938i | − | 0.239120i | ||||||
\(910\) | 12.2684 | − | 1.29758i | 0.406692 | − | 0.0430142i | ||||
\(911\) | 22.1893i | 0.735165i | 0.929991 | + | 0.367582i | \(0.119814\pi\) | ||||
−0.929991 | + | 0.367582i | \(0.880186\pi\) | |||||||
\(912\) | −28.1722 | − | 31.2475i | −0.932876 | − | 1.03471i | ||||
\(913\) | 0.981461 | − | 3.66286i | 0.0324816 | − | 0.121223i | ||||
\(914\) | 0.972762 | + | 8.20738i | 0.0321761 | + | 0.271476i | ||||
\(915\) | 20.4780 | + | 25.0316i | 0.676981 | + | 0.827519i | ||||
\(916\) | 23.5511 | + | 24.8015i | 0.778152 | + | 0.819466i | ||||
\(917\) | −4.50632 | − | 16.8178i | −0.148812 | − | 0.555374i | ||||
\(918\) | 24.4842 | + | 3.54597i | 0.808098 | + | 0.117034i | ||||
\(919\) | −8.37037 | + | 14.4979i | −0.276113 | + | 0.478242i | −0.970415 | − | 0.241442i | \(-0.922380\pi\) |
0.694302 | + | 0.719683i | \(0.255713\pi\) | |||||||
\(920\) | 12.9227 | − | 12.7276i | 0.426050 | − | 0.419615i | ||||
\(921\) | −3.69730 | − | 6.40391i | −0.121830 | − | 0.211016i | ||||
\(922\) | 1.87919 | + | 0.272157i | 0.0618877 | + | 0.00896300i | ||||
\(923\) | −19.3544 | − | 27.6491i | −0.637058 | − | 0.910081i | ||||
\(924\) | −0.402983 | + | 1.36208i | −0.0132572 | + | 0.0448090i | ||||
\(925\) | 22.9520 | + | 11.4074i | 0.754658 | + | 0.375073i | ||||
\(926\) | 44.5762 | + | 19.1429i | 1.46487 | + | 0.629074i | ||||
\(927\) | −35.4282 | + | 9.49297i | −1.16362 | + | 0.311790i | ||||
\(928\) | 16.2026 | − | 18.5059i | 0.531877 | − | 0.607486i | ||||
\(929\) | 13.9500 | + | 8.05405i | 0.457685 | + | 0.264245i | 0.711071 | − | 0.703121i | \(-0.248211\pi\) |
−0.253385 | + | 0.967365i | \(0.581544\pi\) | |||||||
\(930\) | −0.135408 | − | 7.42052i | −0.00444021 | − | 0.243328i | ||||
\(931\) | 23.0266i | 0.754666i | ||||||||
\(932\) | −8.02726 | − | 0.207586i | −0.262942 | − | 0.00679970i | ||||
\(933\) | −10.8828 | + | 40.6151i | −0.356287 | + | 1.32968i | ||||
\(934\) | 12.3585 | − | 28.7780i | 0.404381 | − | 0.941646i | ||||
\(935\) | 2.57175 | − | 2.10391i | 0.0841053 | − | 0.0688052i | ||||
\(936\) | −7.43625 | − | 41.0409i | −0.243061 | − | 1.34146i | ||||
\(937\) | 20.3242 | − | 20.3242i | 0.663963 | − | 0.663963i | −0.292349 | − | 0.956312i | \(-0.594437\pi\) |
0.956312 | + | 0.292349i | \(0.0944368\pi\) | |||||||
\(938\) | 18.4987 | − | 7.38372i | 0.604004 | − | 0.241087i | ||||
\(939\) | −11.4638 | − | 19.8559i | −0.374107 | − | 0.647972i | ||||
\(940\) | 4.78673 | − | 37.9161i | 0.156126 | − | 1.23669i | ||||
\(941\) | −4.52633 | −0.147554 | −0.0737771 | − | 0.997275i | \(-0.523505\pi\) | ||||
−0.0737771 | + | 0.997275i | \(0.523505\pi\) | |||||||
\(942\) | 13.3011 | + | 10.4822i | 0.433374 | + | 0.341530i | ||||
\(943\) | 8.75789 | + | 32.6849i | 0.285196 | + | 1.06437i | ||||
\(944\) | 33.8428 | + | 21.9464i | 1.10149 | + | 0.714295i | ||||
\(945\) | 4.09871 | − | 5.70104i | 0.133331 | − | 0.185455i | ||||
\(946\) | −0.275113 | + | 0.640631i | −0.00894471 | + | 0.0208287i | ||||
\(947\) | 14.5584 | − | 54.3328i | 0.473085 | − | 1.76558i | −0.155498 | − | 0.987836i | \(-0.549698\pi\) |
0.628583 | − | 0.777742i | \(-0.283635\pi\) | |||||||
\(948\) | −71.9032 | + | 39.0706i | −2.33531 | + | 1.26895i | ||||
\(949\) | 5.95949 | + | 16.3806i | 0.193453 | + | 0.531736i | ||||
\(950\) | 26.3023 | + | 9.40127i | 0.853358 | + | 0.305017i | ||||
\(951\) | −12.4030 | + | 7.16088i | −0.402195 | + | 0.232208i | ||||
\(952\) | 1.69696 | + | 18.3694i | 0.0549987 | + | 0.595355i | ||||
\(953\) | −47.7403 | + | 12.7920i | −1.54646 | + | 0.414372i | −0.928346 | − | 0.371717i | \(-0.878769\pi\) |
−0.618113 | + | 0.786089i | \(0.712103\pi\) | |||||||
\(954\) | −2.86343 | + | 2.13895i | −0.0927071 | + | 0.0692512i | ||||
\(955\) | 16.7975 | − | 23.3642i | 0.543555 | − | 0.756049i | ||||
\(956\) | −20.0311 | + | 19.0212i | −0.647852 | + | 0.615190i | ||||
\(957\) | −2.01812 | + | 2.01812i | −0.0652367 | + | 0.0652367i | ||||
\(958\) | −6.91070 | + | 8.76912i | −0.223275 | + | 0.283317i | ||||
\(959\) | −4.23036 | − | 7.32720i | −0.136605 | − | 0.236608i | ||||
\(960\) | 44.8038 | − | 16.1675i | 1.44604 | − | 0.521805i | ||||
\(961\) | 30.2231 | 0.974938 | ||||||||
\(962\) | 8.18490 | − | 24.8236i | 0.263892 | − | 0.800344i | ||||
\(963\) | −34.1516 | + | 34.1516i | −1.10052 | + | 1.10052i | ||||
\(964\) | 2.23877 | + | 9.31178i | 0.0721059 | + | 0.299912i | ||||
\(965\) | −13.1898 | − | 4.98767i | −0.424595 | − | 0.160559i | ||||
\(966\) | −1.37530 | − | 11.6037i | −0.0442497 | − | 0.373343i | ||||
\(967\) | 36.1157 | + | 36.1157i | 1.16140 | + | 1.16140i | 0.984169 | + | 0.177234i | \(0.0567149\pi\) |
0.177234 | + | 0.984169i | \(0.443285\pi\) | |||||||
\(968\) | −25.2588 | + | 17.8697i | −0.811850 | + | 0.574353i | ||||
\(969\) | 54.9075 | + | 31.7009i | 1.76388 | + | 1.01838i | ||||
\(970\) | 21.0819 | + | 35.0233i | 0.676899 | + | 1.12453i | ||||
\(971\) | −16.6858 | − | 9.63358i | −0.535474 | − | 0.309156i | 0.207769 | − | 0.978178i | \(-0.433380\pi\) |
−0.743243 | + | 0.669022i | \(0.766713\pi\) | |||||||
\(972\) | 35.4789 | + | 21.7256i | 1.13799 | + | 0.696849i | ||||
\(973\) | 2.74010 | − | 10.2262i | 0.0878436 | − | 0.327837i | ||||
\(974\) | 9.09084 | + | 12.1700i | 0.291289 | + | 0.389951i | ||||
\(975\) | 29.9243 | + | 37.5335i | 0.958343 | + | 1.20203i | ||||
\(976\) | 18.2297 | + | 11.8217i | 0.583520 | + | 0.378402i | ||||
\(977\) | −33.8396 | − | 9.06729i | −1.08262 | − | 0.290088i | −0.326954 | − | 0.945040i | \(-0.606022\pi\) |
−0.755671 | + | 0.654952i | \(0.772689\pi\) | |||||||
\(978\) | −52.5556 | + | 20.9775i | −1.68054 | + | 0.670786i | ||||
\(979\) | 0.187845 | − | 0.325357i | 0.00600355 | − | 0.0103984i | ||||
\(980\) | −24.1376 | − | 9.84803i | −0.771046 | − | 0.314584i | ||||
\(981\) | 30.6224 | − | 53.0395i | 0.977697 | − | 1.69342i | ||||
\(982\) | 44.1855 | + | 34.8214i | 1.41002 | + | 1.11120i | ||||
\(983\) | −4.43849 | + | 4.43849i | −0.141566 | + | 0.141566i | −0.774338 | − | 0.632772i | \(-0.781917\pi\) |
0.632772 | + | 0.774338i | \(0.281917\pi\) | |||||||
\(984\) | −15.0057 | + | 87.5844i | −0.478365 | + | 2.79209i | ||||
\(985\) | −18.5704 | + | 49.1091i | −0.591703 | + | 1.56475i | ||||
\(986\) | −14.6262 | + | 34.0586i | −0.465792 | + | 1.08465i | ||||
\(987\) | −17.4092 | − | 17.4092i | −0.554140 | − | 0.554140i | ||||
\(988\) | 5.67378 | − | 27.9143i | 0.180507 | − | 0.888073i | ||||
\(989\) | − | 5.73540i | − | 0.182375i | ||||||
\(990\) | −3.06407 | + | 0.881237i | −0.0973826 | + | 0.0280076i | ||||
\(991\) | 30.2823 | − | 17.4835i | 0.961949 | − | 0.555382i | 0.0651768 | − | 0.997874i | \(-0.479239\pi\) |
0.896772 | + | 0.442492i | \(0.145906\pi\) | |||||||
\(992\) | −1.60657 | − | 4.72018i | −0.0510087 | − | 0.149866i | ||||
\(993\) | 1.35750 | + | 1.35750i | 0.0430788 | + | 0.0430788i | ||||
\(994\) | −1.68586 | − | 14.2239i | −0.0534721 | − | 0.451155i | ||||
\(995\) | 12.1109 | + | 8.70703i | 0.383941 | + | 0.276031i | ||||
\(996\) | −23.2407 | + | 78.5533i | −0.736410 | + | 2.48906i | ||||
\(997\) | 5.99240 | + | 22.3639i | 0.189781 | + | 0.708273i | 0.993556 | + | 0.113340i | \(0.0361549\pi\) |
−0.803775 | + | 0.594933i | \(0.797178\pi\) | |||||||
\(998\) | 3.13380 | + | 7.85123i | 0.0991988 | + | 0.248526i | ||||
\(999\) | −7.43826 | − | 12.8834i | −0.235336 | − | 0.407614i |
(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 | 260.2.bj.c.3.15 | yes | 144 | |
4.3 | odd | 2 | inner | 260.2.bj.c.3.9 | ✓ | 144 | |
5.2 | odd | 4 | inner | 260.2.bj.c.107.32 | yes | 144 | |
13.9 | even | 3 | inner | 260.2.bj.c.243.12 | yes | 144 | |
20.7 | even | 4 | inner | 260.2.bj.c.107.12 | yes | 144 | |
52.35 | odd | 6 | inner | 260.2.bj.c.243.32 | yes | 144 | |
65.22 | odd | 12 | inner | 260.2.bj.c.87.9 | yes | 144 | |
260.87 | even | 12 | inner | 260.2.bj.c.87.15 | yes | 144 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
260.2.bj.c.3.9 | ✓ | 144 | 4.3 | odd | 2 | inner | |
260.2.bj.c.3.15 | yes | 144 | 1.1 | even | 1 | trivial | |
260.2.bj.c.87.9 | yes | 144 | 65.22 | odd | 12 | inner | |
260.2.bj.c.87.15 | yes | 144 | 260.87 | even | 12 | inner | |
260.2.bj.c.107.12 | yes | 144 | 20.7 | even | 4 | inner | |
260.2.bj.c.107.32 | yes | 144 | 5.2 | odd | 4 | inner | |
260.2.bj.c.243.12 | yes | 144 | 13.9 | even | 3 | inner | |
260.2.bj.c.243.32 | yes | 144 | 52.35 | odd | 6 | inner |