Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [144,2,Mod(11,144)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(144, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 3, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("144.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 144 = 2^{4} \cdot 3^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 144.u (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: | \(1.14984578911\) |
Analytic rank: | \(0\) |
Dimension: | \(88\) |
Relative dimension: | \(22\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 83.19 | ||
Character | \(\chi\) | \(=\) | 144.83 |
Dual form | 144.2.u.a.59.19 |
$q$-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 \(\left(\mathbb{Z}/144\mathbb{Z}\right)^\times\).
\(n\) | \(37\) | \(65\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(e\left(\frac{1}{6}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.19684 | + | 0.753382i | 0.846291 | + | 0.532722i | ||||
\(3\) | −0.256373 | + | 1.71297i | −0.148017 | + | 0.988985i | ||||
\(4\) | 0.864831 | + | 1.80335i | 0.432416 | + | 0.901674i | ||||
\(5\) | 0.546024 | − | 2.03779i | 0.244189 | − | 0.911327i | −0.729600 | − | 0.683874i | \(-0.760294\pi\) |
0.973789 | − | 0.227452i | \(-0.0730396\pi\) | |||||||
\(6\) | −1.59736 | + | 1.85700i | −0.652119 | + | 0.758117i | ||||
\(7\) | −0.0638076 | + | 0.110518i | −0.0241170 | + | 0.0417719i | −0.877832 | − | 0.478969i | \(-0.841011\pi\) |
0.853715 | + | 0.520741i | \(0.174344\pi\) | |||||||
\(8\) | −0.323550 | + | 2.80986i | −0.114392 | + | 0.993436i | ||||
\(9\) | −2.86855 | − | 0.878321i | −0.956182 | − | 0.292774i | ||||
\(10\) | 2.18873 | − | 2.02753i | 0.692138 | − | 0.641162i | ||||
\(11\) | −0.181856 | − | 0.678695i | −0.0548316 | − | 0.204634i | 0.933076 | − | 0.359680i | \(-0.117114\pi\) |
−0.987907 | + | 0.155046i | \(0.950447\pi\) | |||||||
\(12\) | −3.31081 | + | 1.01910i | −0.955747 | + | 0.294189i | ||||
\(13\) | 0.493860 | − | 1.84311i | 0.136972 | − | 0.511187i | −0.863010 | − | 0.505187i | \(-0.831424\pi\) |
0.999982 | − | 0.00599967i | \(-0.00190977\pi\) | |||||||
\(14\) | −0.159630 | + | 0.0842004i | −0.0426628 | + | 0.0225035i | ||||
\(15\) | 3.35069 | + | 1.45776i | 0.865144 | + | 0.376391i | ||||
\(16\) | −2.50413 | + | 3.11918i | −0.626034 | + | 0.779796i | ||||
\(17\) | − | 4.32243i | − | 1.04834i | −0.851612 | − | 0.524172i | \(-0.824375\pi\) | ||
0.851612 | − | 0.524172i | \(-0.175625\pi\) | |||||||
\(18\) | −2.77147 | − | 3.21232i | −0.653241 | − | 0.757150i | ||||
\(19\) | −3.97707 | + | 3.97707i | −0.912401 | + | 0.912401i | −0.996461 | − | 0.0840594i | \(-0.973211\pi\) |
0.0840594 | + | 0.996461i | \(0.473211\pi\) | |||||||
\(20\) | 4.14706 | − | 0.777671i | 0.927311 | − | 0.173893i | ||||
\(21\) | −0.172956 | − | 0.137635i | −0.0377420 | − | 0.0300343i | ||||
\(22\) | 0.293665 | − | 0.949293i | 0.0626096 | − | 0.202390i | ||||
\(23\) | 6.81589 | − | 3.93516i | 1.42121 | − | 0.820537i | 0.424809 | − | 0.905283i | \(-0.360341\pi\) |
0.996403 | + | 0.0847463i | \(0.0270080\pi\) | |||||||
\(24\) | −4.73026 | − | 1.27461i | −0.965561 | − | 0.260178i | ||||
\(25\) | 0.475689 | + | 0.274639i | 0.0951377 | + | 0.0549278i | ||||
\(26\) | 1.97963 | − | 1.83383i | 0.388238 | − | 0.359644i | ||||
\(27\) | 2.23996 | − | 4.68856i | 0.431080 | − | 0.902314i | ||||
\(28\) | −0.254485 | − | 0.0194880i | −0.0480932 | − | 0.00368288i | ||||
\(29\) | −0.248377 | − | 0.926957i | −0.0461225 | − | 0.172132i | 0.939023 | − | 0.343855i | \(-0.111733\pi\) |
−0.985145 | + | 0.171724i | \(0.945066\pi\) | |||||||
\(30\) | 2.91197 | + | 4.26904i | 0.531651 | + | 0.779417i | ||||
\(31\) | 4.91353 | − | 2.83683i | 0.882496 | − | 0.509509i | 0.0110152 | − | 0.999939i | \(-0.496494\pi\) |
0.871480 | + | 0.490430i | \(0.163160\pi\) | |||||||
\(32\) | −5.34697 | + | 1.84658i | −0.945220 | + | 0.326433i | ||||
\(33\) | 1.20921 | − | 0.137514i | 0.210496 | − | 0.0239382i | ||||
\(34\) | 3.25644 | − | 5.17324i | 0.558476 | − | 0.887204i | ||||
\(35\) | 0.190372 | + | 0.190372i | 0.0321787 | + | 0.0321787i | ||||
\(36\) | −0.896888 | − | 5.93259i | −0.149481 | − | 0.988765i | ||||
\(37\) | −6.64358 | + | 6.64358i | −1.09220 | + | 1.09220i | −0.0969037 | + | 0.995294i | \(0.530894\pi\) |
−0.995294 | + | 0.0969037i | \(0.969106\pi\) | |||||||
\(38\) | −7.75614 | + | 1.76364i | −1.25821 | + | 0.286101i | ||||
\(39\) | 3.03058 | + | 1.31849i | 0.485281 | + | 0.211128i | ||||
\(40\) | 5.54923 | + | 2.19358i | 0.877411 | + | 0.346835i | ||||
\(41\) | −4.61325 | − | 7.99038i | −0.720469 | − | 1.24789i | −0.960812 | − | 0.277200i | \(-0.910593\pi\) |
0.240344 | − | 0.970688i | \(-0.422740\pi\) | |||||||
\(42\) | −0.103308 | − | 0.295028i | −0.0159408 | − | 0.0455238i | ||||
\(43\) | −10.8712 | + | 2.91294i | −1.65785 | + | 0.444219i | −0.961795 | − | 0.273772i | \(-0.911729\pi\) |
−0.696053 | + | 0.717991i | \(0.745062\pi\) | |||||||
\(44\) | 1.06665 | − | 0.914906i | 0.160803 | − | 0.137927i | ||||
\(45\) | −3.35613 | + | 5.36590i | −0.500302 | + | 0.799902i | ||||
\(46\) | 11.1222 | + | 0.425234i | 1.63988 | + | 0.0626973i | ||||
\(47\) | −5.92267 | + | 10.2584i | −0.863910 | + | 1.49634i | 0.00421475 | + | 0.999991i | \(0.498658\pi\) |
−0.868125 | + | 0.496345i | \(0.834675\pi\) | |||||||
\(48\) | −4.70108 | − | 5.08919i | −0.678543 | − | 0.734561i | ||||
\(49\) | 3.49186 | + | 6.04807i | 0.498837 | + | 0.864011i | ||||
\(50\) | 0.362413 | + | 0.687073i | 0.0512530 | + | 0.0971668i | ||||
\(51\) | 7.40421 | + | 1.10816i | 1.03680 | + | 0.155173i | ||||
\(52\) | 3.75087 | − | 0.703377i | 0.520153 | − | 0.0975408i | ||||
\(53\) | −0.00259022 | − | 0.00259022i | −0.000355794 | − | 0.000355794i | 0.706929 | − | 0.707285i | \(-0.250080\pi\) |
−0.707285 | + | 0.706929i | \(0.750080\pi\) | |||||||
\(54\) | 6.21314 | − | 3.92389i | 0.845501 | − | 0.533974i | ||||
\(55\) | −1.48233 | −0.199878 | ||||||||
\(56\) | −0.289895 | − | 0.215049i | −0.0387389 | − | 0.0287371i | ||||
\(57\) | −5.79299 | − | 7.83221i | −0.767300 | − | 1.03740i | ||||
\(58\) | 0.401086 | − | 1.29654i | 0.0526651 | − | 0.170244i | ||||
\(59\) | −4.09587 | − | 1.09748i | −0.533237 | − | 0.142880i | −0.0178541 | − | 0.999841i | \(-0.505683\pi\) |
−0.515382 | + | 0.856960i | \(0.672350\pi\) | |||||||
\(60\) | 0.268933 | + | 7.30317i | 0.0347191 | + | 0.942836i | ||||
\(61\) | 4.44908 | − | 1.19213i | 0.569646 | − | 0.152636i | 0.0375117 | − | 0.999296i | \(-0.488057\pi\) |
0.532134 | + | 0.846660i | \(0.321390\pi\) | |||||||
\(62\) | 8.01790 | + | 0.306548i | 1.01827 | + | 0.0389317i | ||||
\(63\) | 0.280105 | − | 0.260982i | 0.0352900 | − | 0.0328807i | ||||
\(64\) | −7.79063 | − | 1.81826i | −0.973829 | − | 0.227282i | ||||
\(65\) | −3.48621 | − | 2.01276i | −0.432411 | − | 0.249652i | ||||
\(66\) | 1.55082 | + | 0.746413i | 0.190893 | + | 0.0918771i | ||||
\(67\) | 2.01106 | + | 0.538862i | 0.245690 | + | 0.0658325i | 0.379563 | − | 0.925166i | \(-0.376075\pi\) |
−0.133872 | + | 0.990999i | \(0.542741\pi\) | |||||||
\(68\) | 7.79486 | − | 3.73818i | 0.945265 | − | 0.453320i | ||||
\(69\) | 4.99340 | + | 12.6843i | 0.601134 | + | 1.52701i | ||||
\(70\) | 0.0844211 | + | 0.371267i | 0.0100903 | + | 0.0443748i | ||||
\(71\) | 3.80683i | 0.451788i | 0.974152 | + | 0.225894i | \(0.0725303\pi\) | ||||
−0.974152 | + | 0.225894i | \(0.927470\pi\) | |||||||
\(72\) | 3.39608 | − | 7.77603i | 0.400232 | − | 0.916414i | ||||
\(73\) | 1.87674i | 0.219656i | 0.993951 | + | 0.109828i | \(0.0350300\pi\) | ||||
−0.993951 | + | 0.109828i | \(0.964970\pi\) | |||||||
\(74\) | −12.9564 | + | 2.94612i | −1.50615 | + | 0.342479i | ||||
\(75\) | −0.592403 | + | 0.744431i | −0.0684048 | + | 0.0859595i | ||||
\(76\) | −10.6115 | − | 3.73255i | −1.21723 | − | 0.428152i | ||||
\(77\) | 0.0866118 | + | 0.0232076i | 0.00987033 | + | 0.00264475i | ||||
\(78\) | 2.63378 | + | 3.86120i | 0.298217 | + | 0.437195i | ||||
\(79\) | −3.00919 | − | 1.73736i | −0.338560 | − | 0.195468i | 0.321075 | − | 0.947054i | \(-0.395956\pi\) |
−0.659635 | + | 0.751586i | \(0.729289\pi\) | |||||||
\(80\) | 4.98892 | + | 6.80604i | 0.557778 | + | 0.760939i | ||||
\(81\) | 7.45710 | + | 5.03901i | 0.828567 | + | 0.559890i | ||||
\(82\) | 0.498509 | − | 13.0387i | 0.0550511 | − | 1.43989i | ||||
\(83\) | −1.47149 | + | 0.394284i | −0.161517 | + | 0.0432783i | −0.338671 | − | 0.940905i | \(-0.609977\pi\) |
0.177155 | + | 0.984183i | \(0.443311\pi\) | |||||||
\(84\) | 0.0986256 | − | 0.430930i | 0.0107609 | − | 0.0470183i | ||||
\(85\) | −8.80821 | − | 2.36015i | −0.955384 | − | 0.255994i | ||||
\(86\) | −15.2056 | − | 4.70388i | −1.63967 | − | 0.507233i | ||||
\(87\) | 1.65153 | − | 0.187816i | 0.177062 | − | 0.0201360i | ||||
\(88\) | 1.96588 | − | 0.291398i | 0.209563 | − | 0.0310631i | ||||
\(89\) | 10.5967 | 1.12325 | 0.561624 | − | 0.827392i | \(-0.310177\pi\) | ||||
0.561624 | + | 0.827392i | \(0.310177\pi\) | |||||||
\(90\) | −8.05931 | + | 3.89366i | −0.849525 | + | 0.410428i | ||||
\(91\) | 0.172185 | + | 0.172185i | 0.0180499 | + | 0.0180499i | ||||
\(92\) | 12.9911 | + | 8.88818i | 1.35441 | + | 0.926657i | ||||
\(93\) | 3.59971 | + | 9.14402i | 0.373272 | + | 0.948191i | ||||
\(94\) | −14.8169 | + | 7.81555i | −1.52825 | + | 0.806112i | ||||
\(95\) | 5.93284 | + | 10.2760i | 0.608697 | + | 1.05429i | ||||
\(96\) | −1.79232 | − | 9.63263i | −0.182928 | − | 0.983126i | ||||
\(97\) | 3.31795 | − | 5.74685i | 0.336886 | − | 0.583504i | −0.646959 | − | 0.762525i | \(-0.723960\pi\) |
0.983845 | + | 0.179021i | \(0.0572928\pi\) | |||||||
\(98\) | −0.377331 | + | 9.86925i | −0.0381162 | + | 0.996945i | ||||
\(99\) | −0.0744506 | + | 2.10659i | −0.00748257 | + | 0.211721i | ||||
\(100\) | −0.0838795 | + | 1.09535i | −0.00838795 | + | 0.109535i | ||||
\(101\) | 12.0922 | − | 3.24008i | 1.20321 | − | 0.322400i | 0.399118 | − | 0.916899i | \(-0.369316\pi\) |
0.804096 | + | 0.594499i | \(0.202650\pi\) | |||||||
\(102\) | 8.02676 | + | 6.90448i | 0.794767 | + | 0.683645i | ||||
\(103\) | −4.21850 | − | 7.30665i | −0.415661 | − | 0.719946i | 0.579837 | − | 0.814733i | \(-0.303116\pi\) |
−0.995498 | + | 0.0947868i | \(0.969783\pi\) | |||||||
\(104\) | 5.01909 | + | 1.98401i | 0.492162 | + | 0.194549i | ||||
\(105\) | −0.374908 | + | 0.277295i | −0.0365873 | + | 0.0270613i | ||||
\(106\) | −0.00114864 | − | 0.00505149i | −0.000111566 | − | 0.000490644i | ||||
\(107\) | −7.25071 | + | 7.25071i | −0.700953 | + | 0.700953i | −0.964615 | − | 0.263662i | \(-0.915070\pi\) |
0.263662 | + | 0.964615i | \(0.415070\pi\) | |||||||
\(108\) | 10.3923 | − | 0.0153855i | 0.999999 | − | 0.00148048i | ||||
\(109\) | 10.2850 | + | 10.2850i | 0.985128 | + | 0.985128i | 0.999891 | − | 0.0147630i | \(-0.00469937\pi\) |
−0.0147630 | + | 0.999891i | \(0.504699\pi\) | |||||||
\(110\) | −1.77411 | − | 1.11676i | −0.169155 | − | 0.106479i | ||||
\(111\) | −9.67702 | − | 13.0835i | −0.918503 | − | 1.24183i | ||||
\(112\) | −0.184943 | − | 0.475780i | −0.0174755 | − | 0.0449570i | ||||
\(113\) | −18.2964 | + | 10.5634i | −1.72118 | + | 0.993722i | −0.804652 | + | 0.593747i | \(0.797648\pi\) |
−0.916526 | + | 0.399976i | \(0.869019\pi\) | |||||||
\(114\) | −1.03260 | − | 13.7382i | −0.0967122 | − | 1.28670i | ||||
\(115\) | −4.29738 | − | 16.0380i | −0.400732 | − | 1.49555i | ||||
\(116\) | 1.45682 | − | 1.24957i | 0.135263 | − | 0.116020i | ||||
\(117\) | −3.03550 | + | 4.85328i | −0.280632 | + | 0.448685i | ||||
\(118\) | −4.07526 | − | 4.39926i | −0.375158 | − | 0.404985i | ||||
\(119\) | 0.477707 | + | 0.275804i | 0.0437913 | + | 0.0252829i | ||||
\(120\) | −5.18021 | + | 8.94331i | −0.472886 | + | 0.816409i | ||||
\(121\) | 9.09872 | − | 5.25315i | 0.827157 | − | 0.477559i | ||||
\(122\) | 6.22294 | + | 1.92507i | 0.563399 | + | 0.174288i | ||||
\(123\) | 14.8700 | − | 5.85384i | 1.34078 | − | 0.527823i | ||||
\(124\) | 9.36516 | + | 6.40743i | 0.841016 | + | 0.575404i | ||||
\(125\) | 8.27822 | − | 8.27822i | 0.740426 | − | 0.740426i | ||||
\(126\) | 0.531860 | − | 0.101327i | 0.0473818 | − | 0.00902690i | ||||
\(127\) | − | 13.1109i | − | 1.16340i | −0.813403 | − | 0.581700i | \(-0.802388\pi\) | ||
0.813403 | − | 0.581700i | \(-0.197612\pi\) | |||||||
\(128\) | −7.95426 | − | 8.04548i | −0.703064 | − | 0.711127i | ||||
\(129\) | −2.20269 | − | 19.3689i | −0.193936 | − | 1.70534i | ||||
\(130\) | −2.65604 | − | 5.03539i | −0.232950 | − | 0.441633i | ||||
\(131\) | 1.27247 | − | 4.74891i | 0.111176 | − | 0.414914i | −0.887797 | − | 0.460236i | \(-0.847765\pi\) |
0.998972 | + | 0.0453222i | \(0.0144315\pi\) | |||||||
\(132\) | 1.29375 | + | 2.06170i | 0.112606 | + | 0.179448i | ||||
\(133\) | −0.185770 | − | 0.693305i | −0.0161083 | − | 0.0601171i | ||||
\(134\) | 2.00094 | + | 2.16003i | 0.172855 | + | 0.186598i | ||||
\(135\) | −8.33122 | − | 7.12462i | −0.717037 | − | 0.613190i | ||||
\(136\) | 12.1454 | + | 1.39852i | 1.04146 | + | 0.119922i | ||||
\(137\) | −3.41217 | + | 5.91005i | −0.291521 | + | 0.504930i | −0.974170 | − | 0.225817i | \(-0.927495\pi\) |
0.682648 | + | 0.730747i | \(0.260828\pi\) | |||||||
\(138\) | −3.57984 | + | 18.9430i | −0.304737 | + | 1.61253i | ||||
\(139\) | −2.77132 | + | 10.3427i | −0.235061 | + | 0.877258i | 0.743061 | + | 0.669224i | \(0.233373\pi\) |
−0.978121 | + | 0.208035i | \(0.933293\pi\) | |||||||
\(140\) | −0.178667 | + | 0.507946i | −0.0151002 | + | 0.0429293i | ||||
\(141\) | −16.0539 | − | 12.7753i | −1.35198 | − | 1.07588i | ||||
\(142\) | −2.86800 | + | 4.55615i | −0.240677 | + | 0.382344i | ||||
\(143\) | −1.34072 | −0.112117 | ||||||||
\(144\) | 9.92287 | − | 6.74809i | 0.826906 | − | 0.562341i | ||||
\(145\) | −2.02456 | −0.168131 | ||||||||
\(146\) | −1.41390 | + | 2.24615i | −0.117016 | + | 0.185893i | ||||
\(147\) | −11.2554 | + | 4.43089i | −0.928330 | + | 0.365453i | ||||
\(148\) | −17.7263 | − | 6.23512i | −1.45709 | − | 0.512523i | ||||
\(149\) | −0.0546714 | + | 0.204036i | −0.00447885 | + | 0.0167153i | −0.968129 | − | 0.250452i | \(-0.919421\pi\) |
0.963650 | + | 0.267167i | \(0.0860875\pi\) | |||||||
\(150\) | −1.26985 | + | 0.444656i | −0.103683 | + | 0.0363060i | ||||
\(151\) | 1.14798 | − | 1.98835i | 0.0934210 | − | 0.161810i | −0.815528 | − | 0.578718i | \(-0.803553\pi\) |
0.908949 | + | 0.416908i | \(0.136886\pi\) | |||||||
\(152\) | −9.88822 | − | 12.4618i | −0.802040 | − | 1.01078i | ||||
\(153\) | −3.79649 | + | 12.3991i | −0.306928 | + | 1.00241i | ||||
\(154\) | 0.0861759 | + | 0.0930274i | 0.00694425 | + | 0.00749636i | ||||
\(155\) | −3.09795 | − | 11.5617i | −0.248833 | − | 0.928658i | ||||
\(156\) | 0.243240 | + | 6.60547i | 0.0194748 | + | 0.528861i | ||||
\(157\) | 4.34480 | − | 16.2150i | 0.346753 | − | 1.29410i | −0.543799 | − | 0.839216i | \(-0.683015\pi\) |
0.890551 | − | 0.454883i | \(-0.150319\pi\) | |||||||
\(158\) | −2.29261 | − | 4.34640i | −0.182390 | − | 0.345781i | ||||
\(159\) | 0.00510103 | − | 0.00377291i | 0.000404538 | − | 0.000299211i | ||||
\(160\) | 0.843367 | + | 11.9043i | 0.0666740 | + | 0.941116i | ||||
\(161\) | 1.00437i | 0.0791556i | ||||||||
\(162\) | 5.12863 | + | 11.6489i | 0.402943 | + | 0.915225i | ||||
\(163\) | 0.490399 | − | 0.490399i | 0.0384110 | − | 0.0384110i | −0.687640 | − | 0.726051i | \(-0.741353\pi\) |
0.726051 | + | 0.687640i | \(0.241353\pi\) | |||||||
\(164\) | 10.4198 | − | 15.2296i | 0.813647 | − | 1.18923i | ||||
\(165\) | 0.380031 | − | 2.53920i | 0.0295854 | − | 0.197676i | ||||
\(166\) | −2.05817 | − | 0.636699i | −0.159745 | − | 0.0494174i | ||||
\(167\) | 9.34175 | − | 5.39346i | 0.722887 | − | 0.417359i | −0.0929276 | − | 0.995673i | \(-0.529622\pi\) |
0.815814 | + | 0.578314i | \(0.196289\pi\) | |||||||
\(168\) | 0.442694 | − | 0.441450i | 0.0341546 | − | 0.0340586i | ||||
\(169\) | 8.10518 | + | 4.67953i | 0.623475 | + | 0.359963i | ||||
\(170\) | −8.76388 | − | 9.46066i | −0.672159 | − | 0.725599i | ||||
\(171\) | 14.9015 | − | 7.91525i | 1.13955 | − | 0.605294i | ||||
\(172\) | −14.6548 | − | 17.0854i | −1.11742 | − | 1.30275i | ||||
\(173\) | 1.23685 | + | 4.61598i | 0.0940358 | + | 0.350946i | 0.996871 | − | 0.0790394i | \(-0.0251853\pi\) |
−0.902836 | + | 0.429986i | \(0.858519\pi\) | |||||||
\(174\) | 2.11811 | + | 1.01945i | 0.160573 | + | 0.0772841i | ||||
\(175\) | −0.0607051 | + | 0.0350481i | −0.00458888 | + | 0.00264939i | ||||
\(176\) | 2.57236 | + | 1.13230i | 0.193899 | + | 0.0853504i | ||||
\(177\) | 2.93003 | − | 6.73474i | 0.220235 | − | 0.506214i | ||||
\(178\) | 12.6825 | + | 7.98337i | 0.950595 | + | 0.598379i | ||||
\(179\) | −3.52882 | − | 3.52882i | −0.263756 | − | 0.263756i | 0.562822 | − | 0.826578i | \(-0.309716\pi\) |
−0.826578 | + | 0.562822i | \(0.809716\pi\) | |||||||
\(180\) | −12.5791 | − | 1.41167i | −0.937589 | − | 0.105219i | ||||
\(181\) | 7.34860 | − | 7.34860i | 0.546217 | − | 0.546217i | −0.379127 | − | 0.925344i | \(-0.623776\pi\) |
0.925344 | + | 0.379127i | \(0.123776\pi\) | |||||||
\(182\) | 0.0763560 | + | 0.335798i | 0.00565988 | + | 0.0248910i | ||||
\(183\) | 0.901454 | + | 7.92677i | 0.0666374 | + | 0.585964i | ||||
\(184\) | 8.85196 | + | 20.4249i | 0.652575 | + | 1.50575i | ||||
\(185\) | 9.91065 | + | 17.1658i | 0.728646 | + | 1.26205i | ||||
\(186\) | −2.58069 | + | 13.6558i | −0.189225 | + | 1.00130i | ||||
\(187\) | −2.93361 | + | 0.786059i | −0.214527 | + | 0.0574824i | ||||
\(188\) | −23.6215 | − | 1.80889i | −1.72278 | − | 0.131927i | ||||
\(189\) | 0.375244 | + | 0.546722i | 0.0272950 | + | 0.0397681i | ||||
\(190\) | −0.641105 | + | 16.7684i | −0.0465106 | + | 1.21651i | ||||
\(191\) | 2.58888 | − | 4.48407i | 0.187325 | − | 0.324456i | −0.757033 | − | 0.653377i | \(-0.773352\pi\) |
0.944357 | + | 0.328921i | \(0.106685\pi\) | |||||||
\(192\) | 5.11194 | − | 12.8790i | 0.368922 | − | 0.929460i | ||||
\(193\) | 13.2173 | + | 22.8930i | 0.951401 | + | 1.64787i | 0.742398 | + | 0.669960i | \(0.233689\pi\) |
0.209003 | + | 0.977915i | \(0.432978\pi\) | |||||||
\(194\) | 8.30061 | − | 4.37836i | 0.595949 | − | 0.314348i | ||||
\(195\) | 4.34158 | − | 5.45576i | 0.310907 | − | 0.390695i | ||||
\(196\) | −7.88692 | + | 11.5276i | −0.563351 | + | 0.823400i | ||||
\(197\) | −5.14652 | − | 5.14652i | −0.366674 | − | 0.366674i | 0.499588 | − | 0.866263i | \(-0.333485\pi\) |
−0.866263 | + | 0.499588i | \(0.833485\pi\) | |||||||
\(198\) | −1.67618 | + | 2.46516i | −0.119121 | + | 0.175191i | ||||
\(199\) | −1.37436 | −0.0974261 | −0.0487130 | − | 0.998813i | \(-0.515512\pi\) | ||||
−0.0487130 | + | 0.998813i | \(0.515512\pi\) | |||||||
\(200\) | −0.925606 | + | 1.24776i | −0.0654502 | + | 0.0882299i | ||||
\(201\) | −1.43864 | + | 3.30674i | −0.101474 | + | 0.233240i | ||||
\(202\) | 16.9133 | + | 5.23217i | 1.19002 | + | 0.368134i | ||||
\(203\) | 0.118294 | + | 0.0316967i | 0.00830260 | + | 0.00222468i | ||||
\(204\) | 4.40500 | + | 14.3107i | 0.308411 | + | 1.00195i | ||||
\(205\) | −18.8017 | + | 5.03789i | −1.31316 | + | 0.351861i | ||||
\(206\) | 0.455852 | − | 11.9230i | 0.0317607 | − | 0.830715i | ||||
\(207\) | −23.0080 | + | 5.30163i | −1.59917 | + | 0.368489i | ||||
\(208\) | 4.51231 | + | 6.15583i | 0.312872 | + | 0.426830i | ||||
\(209\) | 3.42246 | + | 1.97596i | 0.236737 | + | 0.136680i | ||||
\(210\) | −0.657613 | + | 0.0494281i | −0.0453796 | + | 0.00341086i | ||||
\(211\) | 11.1381 | + | 2.98444i | 0.766776 | + | 0.205457i | 0.620947 | − | 0.783853i | \(-0.286748\pi\) |
0.145829 | + | 0.989310i | \(0.453415\pi\) | |||||||
\(212\) | 0.00243097 | − | 0.00691117i | 0.000166959 | − | 0.000474661i | ||||
\(213\) | −6.52100 | − | 0.975971i | −0.446811 | − | 0.0668724i | ||||
\(214\) | −14.1405 | + | 3.21536i | −0.966623 | + | 0.219797i | ||||
\(215\) | 23.7438i | 1.61931i | ||||||||
\(216\) | 12.4495 | + | 7.81095i | 0.847078 | + | 0.531468i | ||||
\(217\) | 0.724045i | 0.0491514i | ||||||||
\(218\) | 4.56094 | + | 20.0581i | 0.308906 | + | 1.35850i | ||||
\(219\) | −3.21481 | − | 0.481147i | −0.217237 | − | 0.0325129i | ||||
\(220\) | −1.28197 | − | 2.67316i | −0.0864303 | − | 0.180225i | ||||
\(221\) | −7.96672 | − | 2.13468i | −0.535900 | − | 0.143594i | ||||
\(222\) | −1.72494 | − | 22.9493i | −0.115770 | − | 1.54026i | ||||
\(223\) | 17.9819 | + | 10.3819i | 1.20416 | + | 0.695220i | 0.961477 | − | 0.274886i | \(-0.0886402\pi\) |
0.242680 | + | 0.970106i | \(0.421974\pi\) | |||||||
\(224\) | 0.137097 | − | 0.708763i | 0.00916019 | − | 0.0473562i | ||||
\(225\) | −1.12331 | − | 1.20562i | −0.0748876 | − | 0.0803748i | ||||
\(226\) | −29.8560 | − | 1.14149i | −1.98599 | − | 0.0759305i | ||||
\(227\) | 7.65406 | − | 2.05090i | 0.508018 | − | 0.136123i | 0.00429906 | − | 0.999991i | \(-0.498632\pi\) |
0.503718 | + | 0.863868i | \(0.331965\pi\) | |||||||
\(228\) | 9.11426 | − | 17.2203i | 0.603607 | − | 1.14044i | ||||
\(229\) | 0.448692 | + | 0.120227i | 0.0296504 | + | 0.00794481i | 0.273614 | − | 0.961840i | \(-0.411781\pi\) |
−0.243963 | + | 0.969784i | \(0.578448\pi\) | |||||||
\(230\) | 6.93951 | − | 22.4325i | 0.457578 | − | 1.47915i | ||||
\(231\) | −0.0619589 | + | 0.142414i | −0.00407659 | + | 0.00937014i | ||||
\(232\) | 2.68498 | − | 0.397989i | 0.176278 | − | 0.0261293i | ||||
\(233\) | −9.13737 | −0.598609 | −0.299305 | − | 0.954158i | \(-0.596755\pi\) | ||||
−0.299305 | + | 0.954158i | \(0.596755\pi\) | |||||||
\(234\) | −7.28937 | + | 3.52168i | −0.476521 | + | 0.230219i | ||||
\(235\) | 17.6705 | + | 17.6705i | 1.15269 | + | 1.15269i | ||||
\(236\) | −1.56309 | − | 8.33542i | −0.101748 | − | 0.542589i | ||||
\(237\) | 3.74752 | − | 4.70925i | 0.243428 | − | 0.305898i | ||||
\(238\) | 0.363951 | + | 0.689988i | 0.0235914 | + | 0.0447253i | ||||
\(239\) | 3.65824 | + | 6.33626i | 0.236632 | + | 0.409859i | 0.959746 | − | 0.280870i | \(-0.0906231\pi\) |
−0.723114 | + | 0.690729i | \(0.757290\pi\) | |||||||
\(240\) | −12.9376 | + | 6.80099i | −0.835118 | + | 0.439002i | ||||
\(241\) | −1.24858 | + | 2.16261i | −0.0804282 | + | 0.139306i | −0.903434 | − | 0.428727i | \(-0.858962\pi\) |
0.823006 | + | 0.568033i | \(0.192295\pi\) | |||||||
\(242\) | 14.8473 | + | 0.567657i | 0.954421 | + | 0.0364904i | ||||
\(243\) | −10.5435 | + | 11.4819i | −0.676365 | + | 0.736567i | ||||
\(244\) | 5.99752 | + | 6.99225i | 0.383952 | + | 0.447633i | ||||
\(245\) | 14.2313 | − | 3.81327i | 0.909206 | − | 0.243621i | ||||
\(246\) | 22.2071 | + | 4.19671i | 1.41588 | + | 0.267573i | ||||
\(247\) | 5.36605 | + | 9.29428i | 0.341434 | + | 0.591381i | ||||
\(248\) | 6.38132 | + | 14.7242i | 0.405214 | + | 0.934986i | ||||
\(249\) | −0.298147 | − | 2.62170i | −0.0188943 | − | 0.166144i | ||||
\(250\) | 16.1443 | − | 3.67100i | 1.02106 | − | 0.232175i | ||||
\(251\) | 2.77626 | − | 2.77626i | 0.175236 | − | 0.175236i | −0.614039 | − | 0.789275i | \(-0.710456\pi\) |
0.789275 | + | 0.614039i | \(0.210456\pi\) | |||||||
\(252\) | 0.712886 | + | 0.279422i | 0.0449076 | + | 0.0176019i | ||||
\(253\) | −3.91028 | − | 3.91028i | −0.245837 | − | 0.245837i | ||||
\(254\) | 9.87749 | − | 15.6915i | 0.619769 | − | 0.984575i | ||||
\(255\) | 6.30106 | − | 14.4831i | 0.394588 | − | 0.906969i | ||||
\(256\) | −3.45862 | − | 15.6217i | −0.216164 | − | 0.976357i | ||||
\(257\) | −9.61957 | + | 5.55386i | −0.600052 | + | 0.346440i | −0.769062 | − | 0.639174i | \(-0.779276\pi\) |
0.169010 | + | 0.985614i | \(0.445943\pi\) | |||||||
\(258\) | 11.9559 | − | 24.8409i | 0.744344 | − | 1.54653i | ||||
\(259\) | −0.310324 | − | 1.15815i | −0.0192826 | − | 0.0719637i | ||||
\(260\) | 0.614733 | − | 8.02755i | 0.0381241 | − | 0.497847i | ||||
\(261\) | −0.101684 | + | 2.87717i | −0.00629409 | + | 0.178093i | ||||
\(262\) | 5.10067 | − | 4.72501i | 0.315121 | − | 0.291912i | ||||
\(263\) | −16.6320 | − | 9.60247i | −1.02557 | − | 0.592114i | −0.109858 | − | 0.993947i | \(-0.535040\pi\) |
−0.915713 | + | 0.401834i | \(0.868373\pi\) | |||||||
\(264\) | −0.00484285 | + | 3.44220i | −0.000298057 | + | 0.211853i | ||||
\(265\) | −0.00669264 | + | 0.00386400i | −0.000411125 | + | 0.000237363i | ||||
\(266\) | 0.299987 | − | 0.969728i | 0.0183934 | − | 0.0594578i | ||||
\(267\) | −2.71671 | + | 18.1519i | −0.166260 | + | 1.11088i | ||||
\(268\) | 0.767472 | + | 4.09267i | 0.0468808 | + | 0.250000i | ||||
\(269\) | −7.66476 | + | 7.66476i | −0.467329 | + | 0.467329i | −0.901048 | − | 0.433719i | \(-0.857201\pi\) |
0.433719 | + | 0.901048i | \(0.357201\pi\) | |||||||
\(270\) | −4.60354 | − | 14.8036i | −0.280162 | − | 0.900918i | ||||
\(271\) | − | 12.9801i | − | 0.788486i | −0.919006 | − | 0.394243i | \(-0.871007\pi\) | ||
0.919006 | − | 0.394243i | \(-0.128993\pi\) | |||||||
\(272\) | 13.4825 | + | 10.8240i | 0.817495 | + | 0.656299i | ||||
\(273\) | −0.339091 | + | 0.250804i | −0.0205227 | + | 0.0151794i | ||||
\(274\) | −8.53633 | + | 4.50269i | −0.515699 | + | 0.272018i | ||||
\(275\) | 0.0998893 | − | 0.372792i | 0.00602355 | − | 0.0224802i | ||||
\(276\) | −18.5558 | + | 19.9746i | −1.11693 | + | 1.20233i | ||||
\(277\) | −6.42631 | − | 23.9833i | −0.386119 | − | 1.44102i | −0.836395 | − | 0.548127i | \(-0.815341\pi\) |
0.450276 | − | 0.892890i | \(-0.351326\pi\) | |||||||
\(278\) | −11.1088 | + | 10.2907i | −0.666264 | + | 0.617194i | ||||
\(279\) | −16.5863 | + | 3.82191i | −0.992997 | + | 0.228812i | ||||
\(280\) | −0.596513 | + | 0.473324i | −0.0356485 | + | 0.0282865i | ||||
\(281\) | −3.69120 | + | 6.39334i | −0.220198 | + | 0.381395i | −0.954868 | − | 0.297030i | \(-0.904004\pi\) |
0.734670 | + | 0.678425i | \(0.237337\pi\) | |||||||
\(282\) | −9.58914 | − | 27.3847i | −0.571025 | − | 1.63073i | ||||
\(283\) | 1.60691 | − | 5.99708i | 0.0955211 | − | 0.356490i | −0.901577 | − | 0.432619i | \(-0.857590\pi\) |
0.997098 | + | 0.0761294i | \(0.0242562\pi\) | |||||||
\(284\) | −6.86505 | + | 3.29227i | −0.407366 | + | 0.195360i | ||||
\(285\) | −19.1235 | + | 7.52830i | −1.13278 | + | 0.445938i | ||||
\(286\) | −1.60462 | − | 1.01007i | −0.0948832 | − | 0.0597269i | ||||
\(287\) | 1.17744 | 0.0695022 | ||||||||
\(288\) | 16.9599 | − | 0.600642i | 0.999373 | − | 0.0353932i | ||||
\(289\) | −1.68344 | −0.0990261 | ||||||||
\(290\) | −2.42307 | − | 1.52527i | −0.142287 | − | 0.0895668i | ||||
\(291\) | 8.99356 | + | 7.15689i | 0.527212 | + | 0.419544i | ||||
\(292\) | −3.38442 | + | 1.62307i | −0.198058 | + | 0.0949827i | ||||
\(293\) | 6.43453 | − | 24.0140i | 0.375909 | − | 1.40291i | −0.476103 | − | 0.879390i | \(-0.657951\pi\) |
0.852012 | − | 0.523522i | \(-0.175382\pi\) | |||||||
\(294\) | −16.8090 | − | 3.17657i | −0.980322 | − | 0.185261i | ||||
\(295\) | −4.47288 | + | 7.74726i | −0.260421 | + | 0.451063i | ||||
\(296\) | −16.5180 | − | 20.8171i | −0.960089 | − | 1.20997i | ||||
\(297\) | −3.58945 | − | 0.667607i | −0.208281 | − | 0.0387385i | ||||
\(298\) | −0.219150 | + | 0.203009i | −0.0126950 | + | 0.0117600i | ||||
\(299\) | −3.88683 | − | 14.5058i | −0.224781 | − | 0.838895i | ||||
\(300\) | −1.85480 | − | 0.424502i | −0.107087 | − | 0.0245086i | ||||
\(301\) | 0.371735 | − | 1.38734i | 0.0214265 | − | 0.0799647i | ||||
\(302\) | 2.87193 | − | 1.51487i | 0.165261 | − | 0.0871708i | ||||
\(303\) | 2.45006 | + | 21.5442i | 0.140753 | + | 1.23768i | ||||
\(304\) | −2.44609 | − | 22.3643i | −0.140293 | − | 1.28268i | ||||
\(305\) | − | 9.71720i | − | 0.556406i | ||||||
\(306\) | −13.8850 | + | 11.9795i | −0.793754 | + | 0.684821i | ||||
\(307\) | −17.3773 | + | 17.3773i | −0.991773 | + | 0.991773i | −0.999966 | − | 0.00819381i | \(-0.997392\pi\) |
0.00819381 | + | 0.999966i | \(0.497392\pi\) | |||||||
\(308\) | 0.0330532 | + | 0.176262i | 0.00188338 | + | 0.0100435i | ||||
\(309\) | 13.5976 | − | 5.35294i | 0.773541 | − | 0.304518i | ||||
\(310\) | 5.00264 | − | 16.1714i | 0.284131 | − | 0.918474i | ||||
\(311\) | −11.9437 | + | 6.89568i | −0.677264 | + | 0.391018i | −0.798823 | − | 0.601566i | \(-0.794544\pi\) |
0.121560 | + | 0.992584i | \(0.461210\pi\) | |||||||
\(312\) | −4.68532 | + | 8.08891i | −0.265254 | + | 0.457945i | ||||
\(313\) | −17.6368 | − | 10.1826i | −0.996890 | − | 0.575555i | −0.0895635 | − | 0.995981i | \(-0.528547\pi\) |
−0.907327 | + | 0.420426i | \(0.861881\pi\) | |||||||
\(314\) | 17.4161 | − | 16.1334i | 0.982848 | − | 0.910461i | ||||
\(315\) | −0.378883 | − | 0.713298i | −0.0213476 | − | 0.0401898i | ||||
\(316\) | 0.530619 | − | 6.92914i | 0.0298497 | − | 0.389795i | ||||
\(317\) | 5.44301 | + | 20.3136i | 0.305710 | + | 1.14092i | 0.932333 | + | 0.361601i | \(0.117770\pi\) |
−0.626623 | + | 0.779322i | \(0.715563\pi\) | |||||||
\(318\) | 0.00894754 | 0.000672523i | 0.000501753 | 3.77132e-5i | ||||||
\(319\) | −0.583952 | + | 0.337145i | −0.0326950 | + | 0.0188765i | ||||
\(320\) | −7.95910 | + | 14.8828i | −0.444927 | + | 0.831976i | ||||
\(321\) | −10.5614 | − | 14.2792i | −0.589479 | − | 0.796985i | ||||
\(322\) | −0.756676 | + | 1.20207i | −0.0421679 | + | 0.0669886i | ||||
\(323\) | 17.1906 | + | 17.1906i | 0.956511 | + | 0.956511i | ||||
\(324\) | −2.63795 | + | 17.8057i | −0.146553 | + | 0.989203i | ||||
\(325\) | 0.741113 | − | 0.741113i | 0.0411096 | − | 0.0411096i | ||||
\(326\) | 0.956385 | − | 0.217469i | 0.0529693 | − | 0.0120445i | ||||
\(327\) | −20.2548 | + | 14.9812i | −1.12009 | + | 0.828461i | ||||
\(328\) | 23.9445 | − | 10.3773i | 1.32211 | − | 0.572991i | ||||
\(329\) | −0.755823 | − | 1.30912i | −0.0416699 | − | 0.0721743i | ||||
\(330\) | 2.36782 | − | 2.75269i | 0.130344 | − | 0.151531i | ||||
\(331\) | 17.0629 | − | 4.57199i | 0.937862 | − | 0.251299i | 0.242658 | − | 0.970112i | \(-0.421981\pi\) |
0.695204 | + | 0.718813i | \(0.255314\pi\) | |||||||
\(332\) | −1.98362 | − | 2.31262i | −0.108865 | − | 0.126921i | ||||
\(333\) | 24.8926 | − | 13.2222i | 1.36411 | − | 0.724573i | ||||
\(334\) | 15.2439 | + | 0.582819i | 0.834108 | + | 0.0318904i | ||||
\(335\) | 2.19618 | − | 3.80389i | 0.119990 | − | 0.207829i | ||||
\(336\) | 0.862412 | − | 0.194825i | 0.0470484 | − | 0.0106286i | ||||
\(337\) | −4.82538 | − | 8.35780i | −0.262855 | − | 0.455279i | 0.704144 | − | 0.710057i | \(-0.251331\pi\) |
−0.966999 | + | 0.254778i | \(0.917997\pi\) | |||||||
\(338\) | 6.17509 | + | 11.7069i | 0.335881 | + | 0.636772i | ||||
\(339\) | −13.4041 | − | 34.0493i | −0.728012 | − | 1.84931i | ||||
\(340\) | −3.36143 | − | 17.9254i | −0.182299 | − | 0.972141i | ||||
\(341\) | −2.81889 | − | 2.81889i | −0.152652 | − | 0.152652i | ||||
\(342\) | 23.7979 | + | 1.75329i | 1.28684 | + | 0.0948071i | ||||
\(343\) | −1.78454 | −0.0963558 | ||||||||
\(344\) | −4.66756 | − | 31.4891i | −0.251658 | − | 1.69778i | ||||
\(345\) | 28.5744 | − | 3.24956i | 1.53840 | − | 0.174950i | ||||
\(346\) | −1.99729 | + | 6.45638i | −0.107375 | + | 0.347097i | ||||
\(347\) | 18.4037 | + | 4.93125i | 0.987960 | + | 0.264723i | 0.716393 | − | 0.697696i | \(-0.245792\pi\) |
0.271567 | + | 0.962420i | \(0.412458\pi\) | |||||||
\(348\) | 1.76699 | + | 2.81585i | 0.0947207 | + | 0.150946i | ||||
\(349\) | −17.4744 | + | 4.68226i | −0.935385 | + | 0.250636i | −0.694150 | − | 0.719831i | \(-0.744219\pi\) |
−0.241236 | + | 0.970467i | \(0.577553\pi\) | |||||||
\(350\) | −0.0990587 | − | 0.00378731i | −0.00529491 | − | 0.000202440i | ||||
\(351\) | −7.53530 | − | 6.44398i | −0.402205 | − | 0.343954i | ||||
\(352\) | 2.22564 | + | 3.29315i | 0.118627 | + | 0.175526i | ||||
\(353\) | 5.65589 | + | 3.26543i | 0.301033 | + | 0.173801i | 0.642907 | − | 0.765944i | \(-0.277728\pi\) |
−0.341874 | + | 0.939746i | \(0.611062\pi\) | |||||||
\(354\) | 8.58060 | − | 5.85294i | 0.456054 | − | 0.311080i | ||||
\(355\) | 7.75752 | + | 2.07862i | 0.411726 | + | 0.110322i | ||||
\(356\) | 9.16436 | + | 19.1096i | 0.485710 | + | 1.01280i | ||||
\(357\) | −0.594916 | + | 0.747590i | −0.0314863 | + | 0.0395667i | ||||
\(358\) | −1.56487 | − | 6.88196i | −0.0827058 | − | 0.363723i | ||||
\(359\) | − | 22.8075i | − | 1.20373i | −0.798597 | − | 0.601866i | \(-0.794424\pi\) | ||
0.798597 | − | 0.601866i | \(-0.205576\pi\) | |||||||
\(360\) | −13.9916 | − | 11.1664i | −0.737420 | − | 0.588520i | ||||
\(361\) | − | 12.6341i | − | 0.664952i | ||||||
\(362\) | 14.3314 | − | 3.25876i | 0.753240 | − | 0.171277i | ||||
\(363\) | 6.66583 | + | 16.9326i | 0.349865 | + | 0.888732i | ||||
\(364\) | −0.161599 | + | 0.459420i | −0.00847006 | + | 0.0240802i | ||||
\(365\) | 3.82440 | + | 1.02475i | 0.200178 | + | 0.0536377i | ||||
\(366\) | −4.89300 | + | 10.1662i | −0.255761 | + | 0.531395i | ||||
\(367\) | 20.7702 | + | 11.9917i | 1.08419 | + | 0.625959i | 0.932025 | − | 0.362395i | \(-0.118041\pi\) |
0.152169 | + | 0.988355i | \(0.451374\pi\) | |||||||
\(368\) | −4.79343 | + | 31.1142i | −0.249875 | + | 1.62194i | ||||
\(369\) | 6.21519 | + | 26.9727i | 0.323550 | + | 1.40414i | ||||
\(370\) | −1.07095 | + | 28.0111i | −0.0556759 | + | 1.45623i | ||||
\(371\) | 0.000451542 | 0 | 0.000120990i | 2.34429e−5 | 0 | 6.28150e-6i | ||||
\(372\) | −13.3767 | + | 14.3996i | −0.693551 | + | 0.746582i | ||||
\(373\) | −23.1710 | − | 6.20866i | −1.19975 | − | 0.321472i | −0.397018 | − | 0.917811i | \(-0.629955\pi\) |
−0.802733 | + | 0.596338i | \(0.796622\pi\) | |||||||
\(374\) | −4.10326 | − | 1.26935i | −0.212174 | − | 0.0656364i | ||||
\(375\) | 12.0580 | + | 16.3027i | 0.622674 | + | 0.841866i | ||||
\(376\) | −26.9083 | − | 19.9610i | −1.38769 | − | 1.02941i | ||||
\(377\) | −1.83115 | −0.0943089 | ||||||||
\(378\) | 0.0372151 | + | 0.937038i | 0.00191414 | + | 0.0481960i | ||||
\(379\) | 9.96634 | + | 9.96634i | 0.511936 | + | 0.511936i | 0.915119 | − | 0.403183i | \(-0.132096\pi\) |
−0.403183 | + | 0.915119i | \(0.632096\pi\) | |||||||
\(380\) | −13.4003 | + | 19.5860i | −0.687420 | + | 1.00474i | ||||
\(381\) | 22.4585 | + | 3.36128i | 1.15059 | + | 0.172203i | ||||
\(382\) | 6.47668 | − | 3.41628i | 0.331376 | − | 0.174792i | ||||
\(383\) | −2.30770 | − | 3.99705i | −0.117918 | − | 0.204240i | 0.801024 | − | 0.598632i | \(-0.204289\pi\) |
−0.918942 | + | 0.394392i | \(0.870955\pi\) | |||||||
\(384\) | 15.8209 | − | 11.5628i | 0.807359 | − | 0.590061i | ||||
\(385\) | 0.0945842 | − | 0.163825i | 0.00482046 | − | 0.00834927i | ||||
\(386\) | −1.42826 | + | 37.3568i | −0.0726967 | + | 1.90141i | ||||
\(387\) | 33.7431 | + | 1.19254i | 1.71526 | + | 0.0606202i | ||||
\(388\) | 13.2330 | + | 1.01336i | 0.671806 | + | 0.0514455i | ||||
\(389\) | −12.3565 | + | 3.31091i | −0.626498 | + | 0.167870i | −0.558080 | − | 0.829787i | \(-0.688462\pi\) |
−0.0684178 | + | 0.997657i | \(0.521795\pi\) | |||||||
\(390\) | 9.30642 | − | 3.25878i | 0.471249 | − | 0.165015i | ||||
\(391\) | −17.0095 | − | 29.4612i | −0.860205 | − | 1.48992i | ||||
\(392\) | −18.1240 | + | 7.85478i | −0.915402 | + | 0.396726i | ||||
\(393\) | 7.80852 | + | 3.39719i | 0.393887 | + | 0.171366i | ||||
\(394\) | −2.28224 | − | 10.0368i | −0.114978 | − | 0.505649i | ||||
\(395\) | −5.18345 | + | 5.18345i | −0.260808 | + | 0.260808i | ||||
\(396\) | −3.86331 | + | 1.68759i | −0.194139 | + | 0.0848045i | ||||
\(397\) | −3.70313 | − | 3.70313i | −0.185855 | − | 0.185855i | 0.608047 | − | 0.793901i | \(-0.291953\pi\) |
−0.793901 | + | 0.608047i | \(0.791953\pi\) | |||||||
\(398\) | −1.64489 | − | 1.03542i | −0.0824508 | − | 0.0519010i | ||||
\(399\) | 1.23524 | − | 0.140475i | 0.0618392 | − | 0.00703252i | ||||
\(400\) | −2.04784 | + | 0.796028i | −0.102392 | + | 0.0398014i | ||||
\(401\) | 11.5871 | − | 6.68983i | 0.578633 | − | 0.334074i | −0.181957 | − | 0.983307i | \(-0.558243\pi\) |
0.760590 | + | 0.649232i | \(0.224910\pi\) | |||||||
\(402\) | −4.21306 | + | 2.87378i | −0.210128 | + | 0.143331i | ||||
\(403\) | −2.80199 | − | 10.4572i | −0.139577 | − | 0.520908i | ||||
\(404\) | 16.3007 | + | 19.0043i | 0.810989 | + | 0.945497i | ||||
\(405\) | 14.3402 | − | 12.4446i | 0.712570 | − | 0.618376i | ||||
\(406\) | 0.117699 | + | 0.127056i | 0.00584128 | + | 0.00630570i | ||||
\(407\) | 5.71713 | + | 3.30079i | 0.283388 | + | 0.163614i | ||||
\(408\) | −5.50940 | + | 20.4463i | −0.272756 | + | 1.01224i | ||||
\(409\) | −24.1053 | + | 13.9172i | −1.19193 | + | 0.688161i | −0.958744 | − | 0.284272i | \(-0.908248\pi\) |
−0.233185 | + | 0.972432i | \(0.574915\pi\) | |||||||
\(410\) | −26.2979 | − | 8.13530i | −1.29876 | − | 0.401774i | ||||
\(411\) | −9.24896 | − | 7.36013i | −0.456217 | − | 0.363048i | ||||
\(412\) | 9.52816 | − | 13.9264i | 0.469419 | − | 0.686107i | ||||
\(413\) | 0.382639 | − | 0.382639i | 0.0188285 | − | 0.0188285i | ||||
\(414\) | −31.5310 | − | 10.9886i | −1.54966 | − | 0.540062i | ||||
\(415\) | 3.21387i | 0.157763i | ||||||||
\(416\) | 0.762797 | + | 10.7670i | 0.0373992 | + | 0.527896i | ||||
\(417\) | −17.0063 | − | 7.39880i | −0.832802 | − | 0.362321i | ||||
\(418\) | 2.60747 | + | 4.94332i | 0.127536 | + | 0.241786i | ||||
\(419\) | 2.67387 | − | 9.97902i | 0.130627 | − | 0.487507i | −0.869350 | − | 0.494196i | \(-0.835462\pi\) |
0.999978 | + | 0.00668892i | \(0.00212917\pi\) | |||||||
\(420\) | −0.824292 | − | 0.436276i | −0.0402214 | − | 0.0212881i | ||||
\(421\) | 7.99904 | + | 29.8528i | 0.389849 | + | 1.45494i | 0.830379 | + | 0.557199i | \(0.188124\pi\) |
−0.440529 | + | 0.897738i | \(0.645209\pi\) | |||||||
\(422\) | 11.0820 | + | 11.9631i | 0.539464 | + | 0.582354i | ||||
\(423\) | 25.9996 | − | 24.2246i | 1.26414 | − | 1.17784i | ||||
\(424\) | 0.00811622 | − | 0.00644009i | 0.000394158 | − | 0.000312758i | ||||
\(425\) | 1.18711 | − | 2.05613i | 0.0575833 | − | 0.0997371i | ||||
\(426\) | −7.06928 | − | 6.08088i | −0.342508 | − | 0.294620i | ||||
\(427\) | −0.152134 | + | 0.567770i | −0.00736226 | + | 0.0274763i | ||||
\(428\) | −19.3462 | − | 6.80492i | −0.935134 | − | 0.328928i | ||||
\(429\) | 0.343725 | − | 2.29662i | 0.0165952 | − | 0.110882i | ||||
\(430\) | −17.8882 | + | 28.4174i | −0.862643 | + | 1.37041i | ||||
\(431\) | −14.8449 | −0.715053 | −0.357526 | − | 0.933903i | \(-0.616380\pi\) | ||||
−0.357526 | + | 0.933903i | \(0.616380\pi\) | |||||||
\(432\) | 9.01532 | + | 18.7276i | 0.433750 | + | 0.901033i | ||||
\(433\) | −32.1617 | −1.54559 | −0.772796 | − | 0.634654i | \(-0.781143\pi\) | ||||
−0.772796 | + | 0.634654i | \(0.781143\pi\) | |||||||
\(434\) | −0.545482 | + | 0.866562i | −0.0261840 | + | 0.0415963i | ||||
\(435\) | 0.519044 | − | 3.46802i | 0.0248863 | − | 0.166279i | ||||
\(436\) | −9.65269 | + | 27.4423i | −0.462280 | + | 1.31425i | ||||
\(437\) | −11.4569 | + | 42.7576i | −0.548056 | + | 2.04537i | ||||
\(438\) | −3.48511 | − | 2.99783i | −0.166525 | − | 0.143242i | ||||
\(439\) | −0.140035 | + | 0.242548i | −0.00668352 | + | 0.0115762i | −0.869348 | − | 0.494201i | \(-0.835461\pi\) |
0.862664 | + | 0.505777i | \(0.168794\pi\) | |||||||
\(440\) | 0.479609 | − | 4.16515i | 0.0228644 | − | 0.198566i | ||||
\(441\) | −4.70440 | − | 20.4161i | −0.224019 | − | 0.972197i | ||||
\(442\) | −7.92663 | − | 8.55684i | −0.377031 | − | 0.407007i | ||||
\(443\) | −6.50011 | − | 24.2588i | −0.308830 | − | 1.15257i | −0.929598 | − | 0.368574i | \(-0.879846\pi\) |
0.620768 | − | 0.783994i | \(-0.286821\pi\) | |||||||
\(444\) | 15.2251 | − | 28.7661i | 0.722552 | − | 1.36518i | ||||
\(445\) | 5.78605 | − | 21.5938i | 0.274285 | − | 1.02365i | ||||
\(446\) | 13.6999 | + | 25.9726i | 0.648708 | + | 1.22984i | ||||
\(447\) | −0.335492 | − | 0.145960i | −0.0158682 | − | 0.00690367i | ||||
\(448\) | 0.698052 | − | 0.744986i | 0.0329799 | − | 0.0351973i | ||||
\(449\) | − | 14.2885i | − | 0.674318i | −0.941448 | − | 0.337159i | \(-0.890534\pi\) | ||
0.941448 | − | 0.337159i | \(-0.109466\pi\) | |||||||
\(450\) | −0.436128 | − | 2.28922i | −0.0205593 | − | 0.107915i | ||||
\(451\) | −4.58408 | + | 4.58408i | −0.215856 | + | 0.215856i | ||||
\(452\) | −34.8728 | − | 23.8592i | −1.64028 | − | 1.12224i | ||||
\(453\) | 3.11168 | + | 2.47621i | 0.146200 | + | 0.116343i | ||||
\(454\) | 10.7058 | + | 3.31184i | 0.502446 | + | 0.155432i | ||||
\(455\) | 0.444893 | − | 0.256859i | 0.0208569 | − | 0.0120417i | ||||
\(456\) | 23.8818 | − | 13.7434i | 1.11837 | − | 0.643592i | ||||
\(457\) | 24.1097 | + | 13.9198i | 1.12781 | + | 0.651139i | 0.943382 | − | 0.331708i | \(-0.107625\pi\) |
0.184424 | + | 0.982847i | \(0.440958\pi\) | |||||||
\(458\) | 0.446434 | + | 0.481928i | 0.0208605 | + | 0.0225190i | ||||
\(459\) | −20.2660 | − | 9.68207i | −0.945935 | − | 0.451921i | ||||
\(460\) | 25.2057 | − | 21.6199i | 1.17522 | − | 1.00803i | ||||
\(461\) | 4.33776 | + | 16.1887i | 0.202030 | + | 0.753985i | 0.990334 | + | 0.138700i | \(0.0442923\pi\) |
−0.788305 | + | 0.615285i | \(0.789041\pi\) | |||||||
\(462\) | −0.181447 | + | 0.123767i | −0.00844166 | + | 0.00575817i | ||||
\(463\) | −26.1951 | + | 15.1238i | −1.21739 | + | 0.702861i | −0.964359 | − | 0.264597i | \(-0.914761\pi\) |
−0.253032 | + | 0.967458i | \(0.581428\pi\) | |||||||
\(464\) | 3.51332 | + | 1.54649i | 0.163102 | + | 0.0717940i | ||||
\(465\) | 20.5991 | − | 2.34259i | 0.955261 | − | 0.108635i | ||||
\(466\) | −10.9359 | − | 6.88393i | −0.506597 | − | 0.318892i | ||||
\(467\) | −15.9369 | − | 15.9369i | −0.737469 | − | 0.737469i | 0.234618 | − | 0.972088i | \(-0.424616\pi\) |
−0.972088 | + | 0.234618i | \(0.924616\pi\) | |||||||
\(468\) | −11.3773 | − | 1.27680i | −0.525918 | − | 0.0590202i | ||||
\(469\) | −0.187875 | + | 0.187875i | −0.00867527 | + | 0.00867527i | ||||
\(470\) | 7.83603 | + | 34.4612i | 0.361449 | + | 1.58958i | ||||
\(471\) | 26.6620 | + | 11.5996i | 1.22852 | + | 0.534482i | ||||
\(472\) | 4.40900 | − | 11.1537i | 0.202940 | − | 0.513392i | ||||
\(473\) | 3.95399 | + | 6.84851i | 0.181805 | + | 0.314895i | ||||
\(474\) | 8.03303 | − | 2.81288i | 0.368969 | − | 0.129200i | ||||
\(475\) | −2.98410 | + | 0.799588i | −0.136920 | + | 0.0366876i | ||||
\(476\) | −0.0842354 | + | 1.10000i | −0.00386092 | + | 0.0504183i | ||||
\(477\) | 0.00515511 | + | 0.00970520i | 0.000236036 | + | 0.000444371i | ||||
\(478\) | −0.395311 | + | 10.3395i | −0.0180811 | + | 0.472919i | ||||
\(479\) | 14.8100 | − | 25.6516i | 0.676684 | − | 1.17205i | −0.299289 | − | 0.954163i | \(-0.596749\pi\) |
0.975973 | − | 0.217889i | \(-0.0699172\pi\) | |||||||
\(480\) | −20.6079 | − | 1.60728i | −0.940618 | − | 0.0733618i | ||||
\(481\) | 8.96385 | + | 15.5258i | 0.408716 | + | 0.707917i | ||||
\(482\) | −3.12361 | + | 1.64763i | −0.142277 | + | 0.0750473i | ||||
\(483\) | −1.72046 | − | 0.257494i | −0.0782837 | − | 0.0117164i | ||||
\(484\) | 17.3421 | + | 11.8651i | 0.788278 | + | 0.539322i | ||||
\(485\) | −9.89919 | − | 9.89919i | −0.449499 | − | 0.449499i | ||||
\(486\) | −21.2691 | + | 5.79873i | −0.964786 | + | 0.263036i | ||||
\(487\) | 25.6320 | 1.16150 | 0.580749 | − | 0.814083i | \(-0.302760\pi\) | ||||
0.580749 | + | 0.814083i | \(0.302760\pi\) | |||||||
\(488\) | 1.91021 | + | 12.8870i | 0.0864712 | + | 0.583367i | ||||
\(489\) | 0.714315 | + | 0.965765i | 0.0323024 | + | 0.0436734i | ||||
\(490\) | 19.9054 | + | 6.15777i | 0.899235 | + | 0.278180i | ||||
\(491\) | −5.25069 | − | 1.40692i | −0.236960 | − | 0.0634933i | 0.138385 | − | 0.990379i | \(-0.455809\pi\) |
−0.375345 | + | 0.926885i | \(0.622476\pi\) | |||||||
\(492\) | 23.4166 | + | 21.7532i | 1.05570 | + | 0.980712i | ||||
\(493\) | −4.00671 | + | 1.07360i | −0.180453 | + | 0.0483523i | ||||
\(494\) | −0.579857 | + | 15.1664i | −0.0260890 | + | 0.682369i | ||||
\(495\) | 4.25214 | + | 1.30196i | 0.191119 | + | 0.0585190i | ||||
\(496\) | −3.45555 | + | 22.4300i | −0.155159 | + | 1.00714i | ||||
\(497\) | −0.420724 | − | 0.242905i | −0.0188720 | − | 0.0108958i | ||||
\(498\) | 1.61831 | − | 3.36236i | 0.0725182 | − | 0.150671i | ||||
\(499\) | −21.5779 | − | 5.78179i | −0.965961 | − | 0.258829i | −0.258840 | − | 0.965920i | \(-0.583340\pi\) |
−0.707122 | + | 0.707092i | \(0.750007\pi\) | |||||||
\(500\) | 22.0878 | + | 7.76925i | 0.987795 | + | 0.347452i | ||||
\(501\) | 6.84387 | + | 17.3849i | 0.305762 | + | 0.776700i | ||||
\(502\) | 5.41432 | − | 1.23114i | 0.241653 | − | 0.0549487i | ||||
\(503\) | − | 24.7337i | − | 1.10282i | −0.834235 | − | 0.551410i | \(-0.814090\pi\) | ||
0.834235 | − | 0.551410i | \(-0.185910\pi\) | |||||||
\(504\) | 0.642696 | + | 0.871498i | 0.0286280 | + | 0.0388196i | ||||
\(505\) | − | 26.4104i | − | 1.17525i | ||||||
\(506\) | −1.73403 | − | 7.62589i | −0.0770869 | − | 0.339012i | ||||
\(507\) | −10.0938 | + | 12.6842i | −0.448284 | + | 0.563327i | ||||
\(508\) | 23.6435 | − | 11.3387i | 1.04901 | − | 0.503073i | ||||
\(509\) | −8.62284 | − | 2.31048i | −0.382201 | − | 0.102410i | 0.0626029 | − | 0.998039i | \(-0.480060\pi\) |
−0.444804 | + | 0.895628i | \(0.646726\pi\) | |||||||
\(510\) | 18.4527 | − | 12.5868i | 0.817098 | − | 0.557354i | ||||
\(511\) | −0.207414 | − | 0.119751i | −0.00917545 | − | 0.00529745i | ||||
\(512\) | 7.62971 | − | 21.3023i | 0.337189 | − | 0.941437i | ||||
\(513\) | 9.73824 | + | 27.5552i | 0.429954 | + | 1.21659i | ||||
\(514\) | −15.6972 | − | 0.600152i | −0.692375 | − | 0.0264716i | ||||
\(515\) | −17.1928 | + | 4.60680i | −0.757606 | + | 0.203000i | ||||
\(516\) | 33.0240 | − | 20.7231i | 1.45380 | − | 0.912282i | ||||
\(517\) | 8.03937 | + | 2.15414i | 0.353571 | + | 0.0947391i | ||||
\(518\) | 0.501119 | − | 1.61990i | 0.0220179 | − | 0.0711745i | ||||
\(519\) | −8.22413 | + | 0.935271i | −0.360999 | + | 0.0410538i | ||||
\(520\) | 6.78354 | − | 9.14453i | 0.297478 | − | 0.401014i | ||||
\(521\) | −14.1129 | −0.618299 | −0.309149 | − | 0.951013i | \(-0.600044\pi\) | ||||
−0.309149 | + | 0.951013i | \(0.600044\pi\) | |||||||
\(522\) | −2.28931 | + | 3.36690i | −0.100200 | + | 0.147365i | ||||
\(523\) | −27.5776 | − | 27.5776i | −1.20588 | − | 1.20588i | −0.972349 | − | 0.233534i | \(-0.924971\pi\) |
−0.233534 | − | 0.972349i | \(-0.575029\pi\) | |||||||
\(524\) | 9.66440 | − | 1.81230i | 0.422191 | − | 0.0791708i | ||||
\(525\) | −0.0444733 | − | 0.112972i | −0.00194097 | − | 0.00493048i | ||||
\(526\) | −12.6714 | − | 24.0228i | −0.552499 | − | 1.04744i | ||||
\(527\) | −12.2620 | − | 21.2384i | −0.534141 | − | 0.925159i | ||||
\(528\) | −2.59909 | + | 4.11610i | −0.113111 | + | 0.179130i | ||||
\(529\) | 19.4709 | − | 33.7246i | 0.846561 | − | 1.46629i | ||||
\(530\) | −0.0109211 | 0.000417544i | −0.000474380 | 1.81370e-5i | ||||||
\(531\) | 10.7852 | + | 6.74567i | 0.468039 | + | 0.292737i | ||||
\(532\) | 1.08961 | − | 0.934600i | 0.0472406 | − | 0.0405201i | ||||
\(533\) | −17.0054 | + | 4.55660i | −0.736588 | + | 0.197368i | ||||
\(534\) | −16.9267 | + | 19.6781i | −0.732492 | + | 0.851553i | ||||
\(535\) | 10.8164 | + | 18.7345i | 0.467632 | + | 0.809962i | ||||
\(536\) | −2.16481 | + | 5.47646i | −0.0935054 | + | 0.236547i | ||||
\(537\) | 6.94946 | − | 5.14007i | 0.299891 | − | 0.221810i | ||||
\(538\) | −14.9479 | + | 3.39896i | −0.644452 | + | 0.146540i | ||||
\(539\) | 3.46978 | − | 3.46978i | 0.149454 | − | 0.149454i | ||||
\(540\) | 5.64309 | − | 21.1857i | 0.242840 | − | 0.911687i | ||||
\(541\) | 7.82995 | + | 7.82995i | 0.336636 | + | 0.336636i | 0.855100 | − | 0.518464i | \(-0.173496\pi\) |
−0.518464 | + | 0.855100i | \(0.673496\pi\) | |||||||
\(542\) | 9.77898 | − | 15.5351i | 0.420043 | − | 0.667288i | ||||
\(543\) | 10.7040 | + | 14.4719i | 0.459351 | + | 0.621050i | ||||
\(544\) | 7.98173 | + | 23.1119i | 0.342214 | + | 0.990917i | ||||
\(545\) | 26.5746 | − | 15.3429i | 1.13833 | − | 0.657216i | ||||
\(546\) | −0.594788 | + | 0.0447060i | −0.0254546 | + | 0.00191324i | ||||
\(547\) | 5.82566 | + | 21.7416i | 0.249087 | + | 0.929606i | 0.971285 | + | 0.237919i | \(0.0764653\pi\) |
−0.722198 | + | 0.691686i | \(0.756868\pi\) | |||||||
\(548\) | −13.6088 | − | 1.04214i | −0.581340 | − | 0.0445178i | ||||
\(549\) | −13.8094 | − | 0.488049i | −0.589373 | − | 0.0208294i | ||||
\(550\) | 0.400406 | − | 0.370916i | 0.0170734 | − | 0.0158159i | ||||
\(551\) | 4.67438 | + | 2.69876i | 0.199135 | + | 0.114971i | ||||
\(552\) | −37.2567 | + | 9.92675i | −1.58575 | + | 0.422511i | ||||
\(553\) | 0.384019 | − | 0.221713i | 0.0163301 | − | 0.00942821i | ||||
\(554\) | 10.3774 | − | 33.5455i | 0.440892 | − | 1.42521i | ||||
\(555\) | −31.9453 | + | 12.5758i | −1.35600 | + | 0.533814i | ||||
\(556\) | −21.0483 | + | 3.94705i | −0.892645 | + | 0.167392i | ||||
\(557\) | 25.5918 | − | 25.5918i | 1.08436 | − | 1.08436i | 0.0882628 | − | 0.996097i | \(-0.471868\pi\) |
0.996097 | − | 0.0882628i | \(-0.0281315\pi\) | |||||||
\(558\) | −22.7305 | − | 7.92164i | −0.962257 | − | 0.335350i | ||||
\(559\) | 21.4755i | 0.908315i | ||||||||
\(560\) | −1.07052 | + | 0.117088i | −0.0452378 | + | 0.00494788i | ||||
\(561\) | −0.594397 | − | 5.22672i | −0.0250955 | − | 0.220672i | ||||
\(562\) | −9.23439 | + | 4.87090i | −0.389529 | + | 0.205466i | ||||
\(563\) | 3.04735 | − | 11.3728i | 0.128430 | − | 0.479308i | −0.871508 | − | 0.490381i | \(-0.836858\pi\) |
0.999939 | + | 0.0110721i | \(0.00352444\pi\) | |||||||
\(564\) | 9.15450 | − | 39.9993i | 0.385474 | − | 1.68427i | ||||
\(565\) | 11.5357 | + | 43.0520i | 0.485313 | + | 1.81121i | ||||
\(566\) | 6.44131 | − | 5.96690i | 0.270748 | − | 0.250808i | ||||
\(567\) | −1.03272 | + | 0.502617i | −0.0433702 | + | 0.0211079i | ||||
\(568\) | −10.6967 | − | 1.23170i | −0.448822 | − | 0.0516810i | ||||
\(569\) | −0.819418 | + | 1.41927i | −0.0343518 | + | 0.0594990i | −0.882690 | − | 0.469955i | \(-0.844270\pi\) |
0.848338 | + | 0.529454i | \(0.177603\pi\) | |||||||
\(570\) | −28.5594 | − | 5.39716i | −1.19622 | − | 0.226062i | ||||
\(571\) | 8.76233 | − | 32.7015i | 0.366692 | − | 1.36851i | −0.498420 | − | 0.866936i | \(-0.666086\pi\) |
0.865112 | − | 0.501578i | \(-0.167247\pi\) | |||||||
\(572\) | −1.15950 | − | 2.41779i | −0.0484810 | − | 0.101093i | ||||
\(573\) | 7.01737 | + | 5.58427i | 0.293155 | + | 0.233286i | ||||
\(574\) | 1.40920 | + | 0.887064i | 0.0588191 | + | 0.0370253i | ||||
\(575\) | 4.32299 | 0.180281 | ||||||||
\(576\) | 20.7508 | + | 12.0584i | 0.864615 | + | 0.502435i | ||||
\(577\) | −16.0429 | −0.667873 | −0.333936 | − | 0.942596i | \(-0.608377\pi\) | ||||
−0.333936 | + | 0.942596i | \(0.608377\pi\) | |||||||
\(578\) | −2.01481 | − | 1.26828i | −0.0838049 | − | 0.0527533i | ||||
\(579\) | −42.6036 | + | 16.7717i | −1.77055 | + | 0.697007i | ||||
\(580\) | −1.75090 | − | 3.65099i | −0.0727023 | − | 0.151599i | ||||
\(581\) | 0.0503166 | − | 0.187784i | 0.00208749 | − | 0.00779060i | ||||
\(582\) | 5.37194 | + | 15.3412i | 0.222674 | + | 0.635913i | ||||
\(583\) | −0.00128692 | + | 0.00222901i | −5.32988e−5 | + | 9.23163e-5i | ||||
\(584\) | −5.27339 | − | 0.607220i | −0.218214 | − | 0.0251269i | ||||
\(585\) | 8.23249 | + | 8.83571i | 0.340372 | + | 0.365312i | ||||
\(586\) | 25.7928 | − | 23.8931i | 1.06549 | − | 0.987016i | ||||
\(587\) | 9.90974 | + | 36.9837i | 0.409019 | + | 1.52648i | 0.796521 | + | 0.604611i | \(0.206671\pi\) |
−0.387502 | + | 0.921869i | \(0.626662\pi\) | |||||||
\(588\) | −17.7245 | − | 16.4654i | −0.730944 | − | 0.679023i | ||||
\(589\) | −8.25918 | + | 30.8237i | −0.340313 | + | 1.27007i | ||||
\(590\) | −11.1899 | + | 5.90241i | −0.460683 | + | 0.242998i | ||||
\(591\) | 10.1353 | − | 7.49641i | 0.416910 | − | 0.308361i | ||||
\(592\) | −4.08613 | − | 37.3590i | −0.167939 | − | 1.53544i | ||||
\(593\) | 32.2597i | 1.32475i | 0.749173 | + | 0.662374i | \(0.230451\pi\) | ||||
−0.749173 | + | 0.662374i | \(0.769549\pi\) | |||||||
\(594\) | −3.79302 | − | 3.50324i | −0.155629 | − | 0.143740i | ||||
\(595\) | 0.822870 | − | 0.822870i | 0.0337344 | − | 0.0337344i | ||||
\(596\) | −0.415230 | + | 0.0778654i | −0.0170085 | + | 0.00318949i | ||||
\(597\) | 0.352351 | − | 2.35425i | 0.0144207 | − | 0.0963529i | ||||
\(598\) | 6.27655 | − | 20.2894i | 0.256667 | − | 0.829694i | ||||
\(599\) | 11.7417 | − | 6.77905i | 0.479751 | − | 0.276984i | −0.240562 | − | 0.970634i | \(-0.577332\pi\) |
0.720313 | + | 0.693649i | \(0.243998\pi\) | |||||||
\(600\) | −1.90008 | − | 1.90543i | −0.0775703 | − | 0.0777889i | ||||
\(601\) | 0.496416 | + | 0.286606i | 0.0202492 | + | 0.0116909i | 0.510090 | − | 0.860121i | \(-0.329612\pi\) |
−0.489841 | + | 0.871812i | \(0.662945\pi\) | |||||||
\(602\) | 1.49010 | − | 1.38035i | 0.0607319 | − | 0.0562590i | ||||
\(603\) | −5.29553 | − | 3.31211i | −0.215651 | − | 0.134880i | ||||
\(604\) | 4.57850 | + | 0.350612i | 0.186297 | + | 0.0142662i | ||||
\(605\) | −5.73669 | − | 21.4096i | −0.233230 | − | 0.870425i | ||||
\(606\) | −13.2987 | + | 27.6307i | −0.540222 | + | 1.12242i | ||||
\(607\) | −29.1103 | + | 16.8068i | −1.18155 | + | 0.682168i | −0.956373 | − | 0.292149i | \(-0.905630\pi\) |
−0.225178 | + | 0.974318i | \(0.572296\pi\) | |||||||
\(608\) | 13.9213 | − | 28.6092i | 0.564583 | − | 1.16026i | ||||
\(609\) | −0.0846230 | + | 0.194508i | −0.00342910 | + | 0.00788185i | ||||
\(610\) | 7.32077 | − | 11.6299i | 0.296409 | − | 0.470881i | ||||
\(611\) | 15.9823 | + | 15.9823i | 0.646576 | + | 0.646576i | ||||
\(612\) | −25.6432 | + | 3.87674i | −1.03657 | + | 0.156708i | ||||
\(613\) | 26.5621 | − | 26.5621i | 1.07283 | − | 1.07283i | 0.0757042 | − | 0.997130i | \(-0.475880\pi\) |
0.997130 | − | 0.0757042i | \(-0.0241205\pi\) | |||||||
\(614\) | −33.8894 | + | 7.70601i | −1.36767 | + | 0.310989i | ||||
\(615\) | −3.80951 | − | 33.4983i | −0.153614 | − | 1.35078i | ||||
\(616\) | −0.0932332 | + | 0.235858i | −0.00375647 | + | 0.00950300i | ||||
\(617\) | −11.8730 | − | 20.5647i | −0.477991 | − | 0.827904i | 0.521691 | − | 0.853134i | \(-0.325301\pi\) |
−0.999682 | + | 0.0252305i | \(0.991968\pi\) | |||||||
\(618\) | 20.3069 | + | 3.83760i | 0.816863 | + | 0.154371i | ||||
\(619\) | −17.1798 | + | 4.60330i | −0.690513 | + | 0.185022i | −0.586977 | − | 0.809603i | \(-0.699682\pi\) |
−0.103535 | + | 0.994626i | \(0.533016\pi\) | |||||||
\(620\) | 18.1706 | − | 15.5856i | 0.729748 | − | 0.625933i | ||||
\(621\) | −3.18290 | − | 40.7713i | −0.127725 | − | 1.63610i | ||||
\(622\) | −19.4897 | − | 0.745149i | −0.781466 | − | 0.0298778i | ||||
\(623\) | −0.676151 | + | 1.17113i | −0.0270894 | + | 0.0469202i | ||||
\(624\) | −11.7016 | + | 6.15126i | −0.468439 | + | 0.246248i | ||||
\(625\) | −10.9760 | − | 19.0109i | −0.439038 | − | 0.760436i | ||||
\(626\) | −13.4369 | − | 25.4741i | −0.537048 | − | 1.01815i | ||||
\(627\) | −4.26219 | + | 5.35600i | −0.170216 | + | 0.213898i | ||||
\(628\) | 32.9988 | − | 6.18806i | 1.31680 | − | 0.246930i | ||||
\(629\) | 28.7164 | + | 28.7164i | 1.14500 | + | 1.14500i | ||||
\(630\) | 0.0839255 | − | 1.13914i | 0.00334367 | − | 0.0453846i | ||||
\(631\) | 16.0572 | 0.639228 | 0.319614 | − | 0.947548i | \(-0.396447\pi\) | ||||
0.319614 | + | 0.947548i | \(0.396447\pi\) | |||||||
\(632\) | 5.85535 | − | 7.89328i | 0.232913 | − | 0.313978i | ||||
\(633\) | −7.96776 | + | 18.3141i | −0.316690 | + | 0.727919i | ||||
\(634\) | −8.78950 | + | 28.4127i | −0.349076 | + | 1.12841i | ||||
\(635\) | −26.7172 | − | 7.15884i | −1.06024 | − | 0.284090i | ||||
\(636\) | 0.0112154 | + | 0.00593602i | 0.000444720 | + | 0.000235378i | ||||
\(637\) | 12.8717 | − | 3.44897i | 0.509997 | − | 0.136653i | ||||
\(638\) | −0.952893 | − | 0.0364320i | −0.0377254 | − | 0.00144235i | ||||
\(639\) | 3.34362 | − | 10.9201i | 0.132272 | − | 0.431991i | ||||
\(640\) | −20.7382 | + | 11.8161i | −0.819749 | + | 0.467071i | ||||
\(641\) | 35.3930 | + | 20.4342i | 1.39794 | + | 0.807102i | 0.994177 | − | 0.107761i | \(-0.0343683\pi\) |
0.403764 | + | 0.914863i | \(0.367702\pi\) | |||||||
\(642\) | −1.88257 | − | 25.0466i | −0.0742992 | − | 0.988509i | ||||
\(643\) | 33.2700 | + | 8.91467i | 1.31204 | + | 0.351560i | 0.845991 | − | 0.533198i | \(-0.179010\pi\) |
0.466050 | + | 0.884758i | \(0.345677\pi\) | |||||||
\(644\) | −1.81123 | + | 0.868612i | −0.0713726 | + | 0.0342281i | ||||
\(645\) | −40.6725 | − | 6.08728i | −1.60148 | − | 0.239686i | ||||
\(646\) | 7.62324 | + | 33.5254i | 0.299932 | + | 1.31904i | ||||
\(647\) | 28.1696i | 1.10746i | 0.832696 | + | 0.553730i | \(0.186796\pi\) | ||||
−0.832696 | + | 0.553730i | \(0.813204\pi\) | |||||||
\(648\) | −16.5717 | + | 19.3231i | −0.650996 | + | 0.759081i | ||||
\(649\) | 2.97943i | 0.116953i | ||||||||
\(650\) | 1.44533 | − | 0.328649i | 0.0566906 | − | 0.0128907i | ||||
\(651\) | −1.24027 | − | 0.185626i | −0.0486099 | − | 0.00727525i | ||||
\(652\) | 1.30847 | + | 0.460248i | 0.0512438 | + | 0.0180247i | ||||
\(653\) | 8.11558 | + | 2.17456i | 0.317587 | + | 0.0850972i | 0.414091 | − | 0.910235i | \(-0.364099\pi\) |
−0.0965042 | + | 0.995333i | \(0.530766\pi\) | |||||||
\(654\) | −35.5282 | + | 2.67040i | −1.38926 | + | 0.104421i | ||||
\(655\) | −8.98247 | − | 5.18603i | −0.350974 | − | 0.202635i | ||||
\(656\) | 36.4757 | + | 5.61941i | 1.42414 | + | 0.219401i | ||||
\(657\) | 1.64838 | − | 5.38352i | 0.0643096 | − | 0.210031i | ||||
\(658\) | 0.0816744 | − | 2.13623i | 0.00318400 | − | 0.0832789i | ||||
\(659\) | −24.7356 | + | 6.62788i | −0.963562 | + | 0.258186i | −0.706107 | − | 0.708105i | \(-0.749550\pi\) |
−0.257455 | + | 0.966290i | \(0.582884\pi\) | |||||||
\(660\) | 4.90772 | − | 1.51065i | 0.191033 | − | 0.0588018i | ||||
\(661\) | 20.3200 | + | 5.44473i | 0.790357 | + | 0.211775i | 0.631346 | − | 0.775501i | \(-0.282503\pi\) |
0.159011 | + | 0.987277i | \(0.449170\pi\) | |||||||
\(662\) | 23.8659 | + | 7.38296i | 0.927576 | + | 0.286947i | ||||
\(663\) | 5.69910 | − | 13.0995i | 0.221335 | − | 0.508742i | ||||
\(664\) | −0.631783 | − | 4.26224i | −0.0245179 | − | 0.165407i | ||||
\(665\) | −1.51424 | −0.0587198 | ||||||||
\(666\) | 39.7537 | + | 2.92882i | 1.54043 | + | 0.113490i | ||||
\(667\) | −5.34063 | − | 5.34063i | −0.206790 | − | 0.206790i | ||||
\(668\) | 17.8053 | + | 12.1820i | 0.688909 | + | 0.471336i | ||||
\(669\) | −22.3939 | + | 28.1408i | −0.865798 | + | 1.08799i | ||||
\(670\) | 5.49424 | − | 2.89807i | 0.212261 | − | 0.111962i | ||||
\(671\) | −1.61818 | − | 2.80277i | −0.0624691 | − | 0.108200i | ||||
\(672\) | 1.17894 | + | 0.416552i | 0.0454787 | + | 0.0160688i | ||||
\(673\) | −12.5221 | + | 21.6890i | −0.482693 | + | 0.836048i | −0.999803 | − | 0.0198709i | \(-0.993674\pi\) |
0.517110 | + | 0.855919i | \(0.327008\pi\) | |||||||
\(674\) | 0.521432 | − | 13.6383i | 0.0200848 | − | 0.525327i | ||||
\(675\) | 2.35318 | − | 1.61511i | 0.0905741 | − | 0.0621658i | ||||
\(676\) | −1.42921 | + | 18.6635i | −0.0549696 | + | 0.717825i | ||||
\(677\) | −18.3334 | + | 4.91241i | −0.704608 | + | 0.188799i | −0.593294 | − | 0.804986i | \(-0.702173\pi\) |
−0.111314 | + | 0.993785i | \(0.535506\pi\) | |||||||
\(678\) | 9.60963 | − | 50.8499i | 0.369056 | − | 1.95288i | ||||
\(679\) | 0.423420 | + | 0.733386i | 0.0162494 | + | 0.0281448i | ||||
\(680\) | 9.48159 | − | 23.9862i | 0.363602 | − | 0.919829i | ||||
\(681\) | 1.55083 | + | 13.6370i | 0.0594281 | + | 0.522570i | ||||
\(682\) | −1.25005 | − | 5.49745i | −0.0478668 | − | 0.210508i | ||||
\(683\) | −3.70253 | + | 3.70253i | −0.141673 | + | 0.141673i | −0.774386 | − | 0.632713i | \(-0.781941\pi\) |
0.632713 | + | 0.774386i | \(0.281941\pi\) | |||||||
\(684\) | 27.1613 | + | 20.0273i | 1.03854 | + | 0.765763i | ||||
\(685\) | 10.1803 | + | 10.1803i | 0.388969 | + | 0.388969i | ||||
\(686\) | −2.13580 | − | 1.34444i | −0.0815450 | − | 0.0513308i | ||||
\(687\) | −0.320978 | + | 0.737774i | −0.0122461 | + | 0.0281478i | ||||
\(688\) | 18.1370 | − | 41.2038i | 0.691468 | − | 1.57088i | ||||
\(689\) | −0.00605326 | + | 0.00349485i | −0.000230611 | + | 0.000133143i | ||||
\(690\) | 36.6471 | + | 17.6383i | 1.39513 | + | 0.671477i | ||||
\(691\) | −2.19392 | − | 8.18783i | −0.0834607 | − | 0.311480i | 0.911558 | − | 0.411173i | \(-0.134881\pi\) |
−0.995018 | + | 0.0996929i | \(0.968214\pi\) | |||||||
\(692\) | −7.25455 | + | 6.22251i | −0.275777 | + | 0.236544i | ||||
\(693\) | −0.228066 | − | 0.142645i | −0.00866352 | − | 0.00541863i | ||||
\(694\) | 18.3110 | + | 19.7669i | 0.695078 | + | 0.750340i | ||||
\(695\) | 19.5631 | + | 11.2947i | 0.742070 | + | 0.428434i | ||||
\(696\) | −0.00661434 | + | 4.70133i | −0.000250716 | + | 0.178204i | ||||
\(697\) | −34.5379 | + | 19.9405i | −1.30822 | + | 0.755299i | ||||
\(698\) | −24.4416 | − | 7.56103i | −0.925127 | − | 0.286189i | ||||
\(699\) | 2.34258 | − | 15.6521i | 0.0886045 | − | 0.592015i | ||||
\(700\) | −0.115704 | − | 0.0791618i | −0.00437319 | − | 0.00299204i | ||||
\(701\) | −16.2977 | + | 16.2977i | −0.615557 | + | 0.615557i | −0.944389 | − | 0.328831i | \(-0.893345\pi\) |
0.328831 | + | 0.944389i | \(0.393345\pi\) | |||||||
\(702\) | −4.16374 | − | 13.3893i | −0.157150 | − | 0.505348i | ||||
\(703\) | − | 52.8439i | − | 1.99304i | ||||||
\(704\) | 0.182727 | + | 5.61812i | 0.00688680 | + | 0.211741i | ||||
\(705\) | −34.7992 | + | 25.7388i | −1.31062 | + | 0.969378i | ||||
\(706\) | 4.30906 | + | 8.16923i | 0.162173 | + | 0.307453i | ||||
\(707\) | −0.413484 | + | 1.54314i | −0.0155507 | + | 0.0580359i | ||||
\(708\) | 14.6791 | − | 0.540543i | 0.551673 | − | 0.0203149i | ||||
\(709\) | 4.99557 | + | 18.6437i | 0.187613 | + | 0.700180i | 0.994056 | + | 0.108869i | \(0.0347229\pi\) |
−0.806443 | + | 0.591311i | \(0.798610\pi\) | |||||||
\(710\) | 7.71848 | + | 8.33214i | 0.289669 | + | 0.312700i | ||||
\(711\) | 7.10604 | + | 7.62672i | 0.266497 | + | 0.286024i | ||||
\(712\) | −3.42856 | + | 29.7753i | −0.128491 | + | 1.11588i | ||||
\(713\) | 22.3267 | − | 38.6710i | 0.836142 | − | 1.44824i | ||||
\(714\) | −1.27524 | + | 0.446543i | −0.0477246 | + | 0.0167114i | ||||
\(715\) | −0.732065 | + | 2.73210i | −0.0273777 | + | 0.102175i | ||||
\(716\) | 3.31186 | − | 9.41552i | 0.123770 | − | 0.351875i | ||||
\(717\) | −11.7917 | + | 4.64202i | −0.440370 | + | 0.173359i | ||||
\(718\) | 17.1827 | − | 27.2968i | 0.641254 | − | 1.01871i | ||||
\(719\) | 24.2401 | 0.904003 | 0.452002 | − | 0.892017i | \(-0.350710\pi\) | ||||
0.452002 | + | 0.892017i | \(0.350710\pi\) | |||||||
\(720\) | −8.33305 | − | 23.9053i | −0.310555 | − | 0.890899i | ||||
\(721\) | 1.07669 | 0.0400980 | ||||||||
\(722\) | 9.51830 | − | 15.1209i | 0.354234 | − | 0.562743i | ||||
\(723\) | −3.38438 | − | 2.69322i | −0.125866 | − | 0.100162i | ||||
\(724\) | 19.6074 | + | 6.89679i | 0.728703 | + | 0.256317i | ||||
\(725\) | 0.136428 | − | 0.509157i | 0.00506682 | − | 0.0189096i | ||||
\(726\) | −4.77884 | + | 25.2875i | −0.177359 | + | 0.938507i | ||||
\(727\) | −8.10074 | + | 14.0309i | −0.300440 | + | 0.520377i | −0.976236 | − | 0.216712i | \(-0.930467\pi\) |
0.675796 | + | 0.737089i | \(0.263800\pi\) | |||||||
\(728\) | −0.539526 | + | 0.428105i | −0.0199962 | + | 0.0158666i | ||||
\(729\) | −16.9652 | − | 21.0044i | −0.628340 | − | 0.777939i | ||||
\(730\) | 3.80516 | + | 4.10769i | 0.140835 | + | 0.152032i | ||||
\(731\) | 12.5910 | + | 46.9902i | 0.465694 | + | 1.73800i | ||||
\(732\) | −13.5151 | + | 8.48096i | −0.499534 | + | 0.313465i | ||||
\(733\) | −2.15479 | + | 8.04180i | −0.0795891 | + | 0.297031i | −0.994235 | − | 0.107226i | \(-0.965803\pi\) |
0.914646 | + | 0.404257i | \(0.132470\pi\) | |||||||
\(734\) | 15.8242 | + | 29.9999i | 0.584081 | + | 1.10732i | ||||
\(735\) | 2.88349 | + | 25.3555i | 0.106359 | + | 0.935251i | ||||
\(736\) | −29.1778 | + | 33.6273i | −1.07551 | + | 1.23952i | ||||
\(737\) | − | 1.46289i | − | 0.0538863i | ||||||
\(738\) | −12.8822 | + | 36.9643i | −0.474199 | + | 1.36067i | ||||
\(739\) | 22.8405 | − | 22.8405i | 0.840203 | − | 0.840203i | −0.148682 | − | 0.988885i | \(-0.547503\pi\) |
0.988885 | + | 0.148682i | \(0.0475030\pi\) | |||||||
\(740\) | −22.3848 | + | 32.7178i | −0.822882 | + | 1.20273i | ||||
\(741\) | −17.2966 | + | 6.80909i | −0.635405 | + | 0.250138i | ||||
\(742\) | 0.000631573 | 0 | 0.000195378i | 2.31858e−5 | 0 | 7.17255e-6i | ||||
\(743\) | −7.19608 | + | 4.15466i | −0.263999 | + | 0.152420i | −0.626157 | − | 0.779697i | \(-0.715373\pi\) |
0.362159 | + | 0.932116i | \(0.382040\pi\) | |||||||
\(744\) | −26.8581 | + | 7.15612i | −0.984666 | + | 0.262356i | ||||
\(745\) | 0.385931 | + | 0.222817i | 0.0141394 | + | 0.00816339i | ||||
\(746\) | −23.0544 | − | 24.8874i | −0.844083 | − | 0.911192i | ||||
\(747\) | 4.56734 | + | 0.161417i | 0.167110 | + | 0.00590595i | ||||
\(748\) | −3.95462 | − | 4.61052i | −0.144595 | − | 0.168577i | ||||
\(749\) | −0.338684 | − | 1.26399i | −0.0123752 | − | 0.0461850i | ||||
\(750\) | 2.14935 | + | 28.5959i | 0.0784832 | + | 1.04418i | ||||
\(751\) | −28.0215 | + | 16.1782i | −1.02252 | + | 0.590352i | −0.914833 | − | 0.403833i | \(-0.867678\pi\) |
−0.107687 | + | 0.994185i | \(0.534344\pi\) | |||||||
\(752\) | −17.1666 | − | 44.1622i | −0.626001 | − | 1.61043i | ||||
\(753\) | 4.04390 | + | 5.46742i | 0.147368 | + | 0.199244i | ||||
\(754\) | −2.19158 | − | 1.37955i | −0.0798127 | − | 0.0502404i | ||||
\(755\) | −3.42502 | − | 3.42502i | −0.124649 | − | 0.124649i | ||||
\(756\) | −0.661407 | + | 1.14952i | −0.0240551 | + | 0.0418076i | ||||
\(757\) | 3.76265 | − | 3.76265i | 0.136756 | − | 0.136756i | −0.635415 | − | 0.772171i | \(-0.719171\pi\) |
0.772171 | + | 0.635415i | \(0.219171\pi\) | |||||||
\(758\) | 4.41961 | + | 19.4365i | 0.160527 | + | 0.705967i | ||||
\(759\) | 7.70069 | − | 5.69570i | 0.279517 | − | 0.206741i | ||||
\(760\) | −30.7937 | + | 13.3457i | −1.11700 | + | 0.484098i | ||||
\(761\) | −13.1168 | − | 22.7190i | −0.475485 | − | 0.823564i | 0.524121 | − | 0.851644i | \(-0.324394\pi\) |
−0.999606 | + | 0.0280801i | \(0.991061\pi\) | |||||||
\(762\) | 24.3469 | + | 20.9428i | 0.881993 | + | 0.758676i | ||||
\(763\) | −1.79295 | + | 0.480419i | −0.0649090 | + | 0.0173923i | ||||
\(764\) | 10.3253 | + | 0.790689i | 0.373556 | + | 0.0286061i | ||||
\(765\) | 23.1938 | + | 14.5066i | 0.838572 | + | 0.524489i | ||||
\(766\) | 0.249371 | − | 6.52239i | 0.00901012 | − | 0.235664i | ||||
\(767\) | −4.04557 | + | 7.00713i | −0.146077 | + | 0.253013i | ||||
\(768\) | 27.6463 | − | 1.91953i | 0.997598 | − | 0.0692651i | ||||
\(769\) | −9.31591 | − | 16.1356i | −0.335940 | − | 0.581865i | 0.647725 | − | 0.761874i | \(-0.275721\pi\) |
−0.983665 | + | 0.180009i | \(0.942387\pi\) | |||||||
\(770\) | 0.236624 | − | 0.124813i | 0.00852734 | − | 0.00449795i | ||||
\(771\) | −7.04741 | − | 17.9019i | −0.253806 | − | 0.644722i | ||||
\(772\) | −29.8534 | + | 43.6340i | −1.07445 | + | 1.57042i | ||||
\(773\) | 4.69430 | + | 4.69430i | 0.168842 | + | 0.168842i | 0.786470 | − | 0.617628i | \(-0.211906\pi\) |
−0.617628 | + | 0.786470i | \(0.711906\pi\) | |||||||
\(774\) | 39.4865 | + | 26.8487i | 1.41931 | + | 0.965058i | ||||
\(775\) | 3.11641 | 0.111945 | ||||||||
\(776\) | 15.0743 | + | 11.1824i | 0.541137 | + | 0.401423i | ||||
\(777\) | 2.06343 | − | 0.234659i | 0.0740252 | − | 0.00841834i | ||||
\(778\) | −17.2830 | − | 5.34653i | −0.619627 | − | 0.191682i | ||||
\(779\) | 50.1255 | + | 13.4311i | 1.79593 | + | 0.481218i | ||||
\(780\) | 13.5934 | + | 3.11107i | 0.486720 | + | 0.111394i | ||||
\(781\) | 2.58368 | − | 0.692294i | 0.0924512 | − | 0.0247722i | ||||
\(782\) | 1.83805 | − | 48.0749i | 0.0657284 | − | 1.71915i | ||||
\(783\) | −4.90245 | − | 0.911813i | −0.175199 | − | 0.0325855i | ||||
\(784\) | −27.6091 | − | 4.25344i | −0.986041 | − | 0.151909i | ||||
\(785\) | −30.6704 | − | 17.7076i | −1.09467 | − | 0.632010i | ||||
\(786\) | 6.78613 | + | 9.94867i | 0.242053 | + | 0.354857i | ||||
\(787\) | 43.7964 | + | 11.7352i | 1.56117 | + | 0.418315i | 0.933035 | − | 0.359786i | \(-0.117150\pi\) |
0.628139 | + | 0.778101i | \(0.283817\pi\) | |||||||
\(788\) | 4.83010 | − | 13.7318i | 0.172065 | − | 0.489177i | ||||
\(789\) | 20.7128 | − | 26.0283i | 0.737394 | − | 0.926631i | ||||
\(790\) | −10.1089 | + | 2.29862i | −0.359657 | + | 0.0817813i | ||||
\(791\) | − | 2.69611i | − | 0.0958625i | ||||||
\(792\) | −5.89515 | − | 0.890784i | −0.209475 | − | 0.0316526i | ||||
\(793\) | − | 8.78888i | − | 0.312102i | ||||||
\(794\) | −1.64217 | − | 7.22191i | −0.0582783 | − | 0.256296i | ||||
\(795\) | −0.00490310 | − | 0.0124549i | −0.000173895 | − | 0.000441731i | ||||
\(796\) | −1.18859 | − | 2.47846i | −0.0421286 | − | 0.0878466i | ||||
\(797\) | −36.4751 | − | 9.77347i | −1.29201 | − | 0.346194i | −0.453589 | − | 0.891211i | \(-0.649857\pi\) |
−0.838425 | + | 0.545017i | \(0.816523\pi\) | |||||||
\(798\) | 1.58421 | + | 0.762481i | 0.0560803 | + | 0.0269915i | ||||
\(799\) | 44.3411 | + | 25.6004i | 1.56868 | + | 0.905676i | ||||
\(800\) | −3.05064 | − | 0.590090i | −0.107856 | − | 0.0208628i | ||||
\(801\) | −30.3971 | − | 9.30731i | −1.07403 | − | 0.328858i | ||||
\(802\) | 18.9079 | + | 0.722905i | 0.667660 | + | 0.0255266i | ||||
\(803\) | 1.27374 | − | 0.341296i | 0.0449492 | − | 0.0120441i | ||||
\(804\) | −7.20739 | + | 0.265406i | −0.254185 | + | 0.00936014i | ||||
\(805\) | 2.04670 | + | 0.548411i | 0.0721366 | + | 0.0193289i | ||||
\(806\) | 4.52472 | − | 14.6265i | 0.159376 | − | 0.515196i | ||||
\(807\) | −11.1645 | − | 15.0946i | −0.393008 | − | 0.531353i | ||||
\(808\) | 5.19177 | + | 35.0256i | 0.182646 | + | 1.23220i | ||||
\(809\) | 24.0071 | 0.844045 | 0.422023 | − | 0.906585i | \(-0.361320\pi\) | ||||
0.422023 | + | 0.906585i | \(0.361320\pi\) | |||||||
\(810\) | 26.5384 | − | 4.09048i | 0.932463 | − | 0.143725i | ||||
\(811\) | −0.243845 | − | 0.243845i | −0.00856256 | − | 0.00856256i | 0.702813 | − | 0.711375i | \(-0.251927\pi\) |
−0.711375 | + | 0.702813i | \(0.751927\pi\) | |||||||
\(812\) | 0.0451439 | + | 0.240737i | 0.00158424 | + | 0.00844823i | ||||
\(813\) | 22.2346 | + | 3.32776i | 0.779800 | + | 0.116710i | ||||
\(814\) | 4.35571 | + | 8.25769i | 0.152668 | + | 0.289432i | ||||
\(815\) | −0.731560 | − | 1.26710i | −0.0256254 | − | 0.0443846i | ||||
\(816\) | −21.9977 | + | 20.3201i | −0.770073 | + | 0.711346i | ||||
\(817\) | 31.6507 | − | 54.8205i | 1.10732 | − | 1.91793i | ||||
\(818\) | −39.3350 | − | 1.50389i | −1.37532 | − | 0.0525824i | ||||
\(819\) | −0.342686 | − | 0.645154i | −0.0119744 | − | 0.0225435i | ||||
\(820\) | −25.3453 | − | 29.5490i | −0.885097 | − | 1.03190i | ||||
\(821\) | −46.3025 | + | 12.4067i | −1.61597 | + | 0.432998i | −0.949814 | − | 0.312815i | \(-0.898728\pi\) |
−0.666156 | + | 0.745813i | \(0.732061\pi\) | |||||||
\(822\) | −5.52449 | − | 15.7769i | −0.192689 | − | 0.550281i | ||||
\(823\) | −0.737958 | − | 1.27818i | −0.0257236 | − | 0.0445546i | 0.852877 | − | 0.522112i | \(-0.174856\pi\) |
−0.878601 | + | 0.477557i | \(0.841522\pi\) | |||||||
\(824\) | 21.8956 | − | 9.48933i | 0.762768 | − | 0.330576i | ||||
\(825\) | 0.612973 | + | 0.266682i | 0.0213410 | + | 0.00928466i | ||||
\(826\) | 0.746230 | − | 0.169683i | 0.0259647 | − | 0.00590402i | ||||
\(827\) | 11.5464 | − | 11.5464i | 0.401509 | − | 0.401509i | −0.477256 | − | 0.878764i | \(-0.658368\pi\) |
0.878764 | + | 0.477256i | \(0.158368\pi\) | |||||||
\(828\) | −29.4587 | − | 36.9065i | −1.02376 | − | 1.28259i | ||||
\(829\) | 34.7961 | + | 34.7961i | 1.20852 | + | 1.20852i | 0.971507 | + | 0.237010i | \(0.0761675\pi\) |
0.237010 | + | 0.971507i | \(0.423833\pi\) | |||||||
\(830\) | −2.42127 | + | 3.84647i | −0.0840435 | + | 0.133513i | ||||
\(831\) | 42.7303 | − | 4.85940i | 1.48230 | − | 0.168571i | ||||
\(832\) | −7.19873 | + | 13.4610i | −0.249571 | + | 0.466677i | ||||
\(833\) | 26.1424 | − | 15.0933i | 0.905781 | − | 0.522953i | ||||
\(834\) | −14.7796 | − | 21.6674i | −0.511777 | − | 0.750280i | ||||
\(835\) | −5.88992 | − | 21.9815i | −0.203829 | − | 0.760700i | ||||
\(836\) | −0.603493 | + | 7.88077i | −0.0208722 | + | 0.272562i | ||||
\(837\) | −2.29453 | − | 29.3917i | −0.0793106 | − | 1.01593i | ||||
\(838\) | 10.7182 | − | 9.92880i | 0.370254 | − | 0.342985i | ||||
\(839\) | −41.3065 | − | 23.8483i | −1.42606 | − | 0.823335i | −0.429252 | − | 0.903185i | \(-0.641223\pi\) |
−0.996807 | + | 0.0798497i | \(0.974556\pi\) | |||||||
\(840\) | −0.657860 | − | 1.14316i | −0.0226983 | − | 0.0394427i | ||||
\(841\) | 24.3172 | − | 14.0395i | 0.838523 | − | 0.484122i | ||||
\(842\) | −12.9170 | + | 41.7553i | −0.445151 | + | 1.43898i | ||||
\(843\) | −10.0053 | − | 7.96200i | −0.344601 | − | 0.274226i | ||||
\(844\) | 4.25057 | + | 22.6668i | 0.146311 | + | 0.780225i | ||||
\(845\) | 13.9615 | − | 13.9615i | 0.480290 | − | 0.480290i | ||||
\(846\) | 49.3676 | − | 9.40522i | 1.69729 | − | 0.323358i | ||||
\(847\) | 1.34076i | 0.0460692i | ||||||||
\(848\) | 0.0145656 | − | 0.00159311i | 0.000500186 | − | 5.47078e-5i | ||||
\(849\) | 9.86087 | + | 4.29009i | 0.338424 | + | 0.147236i | ||||
\(850\) | 2.96983 | − | 1.56651i | 0.101864 | − | 0.0537308i | ||||
\(851\) | −19.1384 | + | 71.4254i | −0.656055 | + | 2.44843i | ||||
\(852\) | −3.87955 | − | 12.6037i | −0.132911 | − | 0.431795i | ||||
\(853\) | −11.3911 | − | 42.5120i | −0.390023 | − | 1.45558i | −0.830095 | − | 0.557622i | \(-0.811714\pi\) |
0.440072 | − | 0.897962i | \(-0.354953\pi\) | |||||||
\(854\) | −0.609827 | + | 0.564913i | −0.0208678 | + | 0.0193309i | ||||
\(855\) | −7.99302 | − | 34.6881i | −0.273355 | − | 1.18631i | ||||
\(856\) | −18.0275 | − | 22.7195i | −0.616168 | − | 0.776535i | ||||
\(857\) | −4.36756 | + | 7.56483i | −0.149193 | + | 0.258410i | −0.930929 | − | 0.365199i | \(-0.881001\pi\) |
0.781736 | + | 0.623609i | \(0.214334\pi\) | |||||||
\(858\) | 2.14161 | − | 2.48971i | 0.0731134 | − | 0.0849975i | ||||
\(859\) | 12.9902 | − | 48.4800i | 0.443219 | − | 1.65411i | −0.277378 | − | 0.960761i | \(-0.589466\pi\) |
0.720597 | − | 0.693354i | \(-0.243868\pi\) | |||||||
\(860\) | −42.8184 | + | 20.5344i | −1.46009 | + | 0.700217i | ||||
\(861\) | −0.301865 | + | 2.01693i | −0.0102875 | + | 0.0687366i | ||||
\(862\) | −17.7669 | − | 11.1839i | −0.605142 | − | 0.380924i | ||||
\(863\) | 3.87853 | 0.132027 | 0.0660134 | − | 0.997819i | \(-0.478972\pi\) | ||||
0.0660134 | + | 0.997819i | \(0.478972\pi\) | |||||||
\(864\) | −3.31919 | + | 29.2059i | −0.112921 | + | 0.993604i | ||||
\(865\) | 10.0817 | 0.342789 | ||||||||
\(866\) | −38.4923 | − | 24.2300i | −1.30802 | − | 0.823370i | ||||
\(867\) | 0.431590 | − | 2.88369i | 0.0146576 | − | 0.0979353i | ||||
\(868\) | −1.30571 | + | 0.626176i | −0.0443185 | + | 0.0212538i | ||||
\(869\) | −0.631896 | + | 2.35827i | −0.0214356 | + | 0.0799988i | ||||
\(870\) | 3.23395 | − | 3.75961i | 0.109641 | − | 0.127463i | ||||
\(871\) | 1.98636 | − | 3.44049i | 0.0673054 | − | 0.116576i | ||||
\(872\) | −32.2272 | + | 25.5718i | −1.09135 | + | 0.865970i | ||||
\(873\) | −14.5653 | + | 13.5709i | −0.492959 | + | 0.459305i | ||||
\(874\) | −45.9248 | + | 42.5424i | −1.55343 | + | 1.43902i | ||||
\(875\) | 0.386679 | + | 1.44311i | 0.0130721 | + | 0.0487859i | ||||
\(876\) | −1.91259 | − | 6.21353i | −0.0646204 | − | 0.209936i | ||||
\(877\) | 5.43592 | − | 20.2871i | 0.183558 | − | 0.685047i | −0.811377 | − | 0.584524i | \(-0.801281\pi\) |
0.994935 | − | 0.100524i | \(-0.0320519\pi\) | |||||||
\(878\) | −0.350331 | + | 0.184790i | −0.0118231 | + | 0.00623637i | ||||
\(879\) | 39.4856 | + | 17.1787i | 1.33182 | + | 0.579424i | ||||
\(880\) | 3.71196 | − | 4.62367i | 0.125130 | − | 0.155864i | ||||
\(881\) | 7.45496i | 0.251164i | 0.992083 | + | 0.125582i | \(0.0400798\pi\) | ||||
−0.992083 | + | 0.125582i | \(0.959920\pi\) | |||||||
\(882\) | 9.75076 | − | 27.9790i | 0.328325 | − | 0.942101i | ||||
\(883\) | −9.55597 | + | 9.55597i | −0.321584 | + | 0.321584i | −0.849375 | − | 0.527791i | \(-0.823021\pi\) |
0.527791 | + | 0.849375i | \(0.323021\pi\) | |||||||
\(884\) | −3.04030 | − | 16.2129i | −0.102256 | − | 0.545299i | ||||
\(885\) | −12.1241 | − | 9.64811i | −0.407547 | − | 0.324318i | ||||
\(886\) | 10.4965 | − | 33.9308i | 0.352638 | − | 1.13993i | ||||
\(887\) | −41.0581 | + | 23.7049i | −1.37860 | + | 0.795934i | −0.991991 | − | 0.126311i | \(-0.959686\pi\) |
−0.386607 | + | 0.922245i | \(0.626353\pi\) | |||||||
\(888\) | 39.8938 | − | 22.9579i | 1.33875 | − | 0.770418i | ||||
\(889\) | 1.44899 | + | 0.836573i | 0.0485975 | + | 0.0280578i | ||||
\(890\) | 23.1934 | − | 21.4852i | 0.777444 | − | 0.720185i | ||||
\(891\) | 2.06383 | − | 5.97747i | 0.0691409 | − | 0.200253i | ||||
\(892\) | −3.17080 | + | 41.4062i | −0.106166 | + | 1.38638i | ||||
\(893\) | −17.2433 | − | 64.3530i | −0.577027 | − | 2.15349i | ||||
\(894\) | −0.291565 | − | 0.427444i | −0.00975140 | − | 0.0142959i | ||||
\(895\) | −9.11780 | + | 5.26416i | −0.304774 | + | 0.175962i | ||||
\(896\) | 1.39671 | − | 0.365726i | 0.0466609 | − | 0.0122181i | ||||
\(897\) | 25.8446 | − | 2.93912i | 0.862926 | − | 0.0981342i | ||||
\(898\) | 10.7647 | − | 17.1010i | 0.359224 | − | 0.570669i | ||||
\(899\) | −3.85003 | − | 3.85003i | −0.128406 | − | 0.128406i | ||||
\(900\) | 1.20268 | − | 3.06839i | 0.0400893 | − | 0.102280i | ||||
\(901\) | −0.0111960 | + | 0.0111960i | −0.000372994 | + | 0.000372994i | ||||
\(902\) | −8.93996 | + | 2.03283i | −0.297668 | + | 0.0676858i | ||||
\(903\) | 2.28116 | + | 0.992448i | 0.0759124 | + | 0.0330266i | ||||
\(904\) | −23.7619 | − | 54.8280i | −0.790310 | − | 1.82355i | ||||
\(905\) | −10.9624 | − | 18.9874i | −0.364402 | − | 0.631162i | ||||
\(906\) | 1.85864 | + | 5.30790i | 0.0617491 | + | 0.176343i | ||||
\(907\) | 13.6705 | − | 3.66301i | 0.453923 | − | 0.121628i | −0.0246114 | − | 0.999697i | \(-0.507835\pi\) |
0.478534 | + | 0.878069i | \(0.341168\pi\) | |||||||
\(908\) | 10.3180 | + | 12.0293i | 0.342413 | + | 0.399205i | ||||
\(909\) | −37.5327 | − | 1.32647i | −1.24488 | − | 0.0439963i | ||||
\(910\) | 0.725977 | + | 0.0277563i | 0.0240659 | + | 0.000920111i | ||||
\(911\) | −20.0062 | + | 34.6517i | −0.662834 | + | 1.14806i | 0.317034 | + | 0.948414i | \(0.397313\pi\) |
−0.979868 | + | 0.199648i | \(0.936020\pi\) | |||||||
\(912\) | 38.9365 | + | 1.54352i | 1.28932 | + | 0.0511112i | ||||
\(913\) | 0.535197 | + | 0.926988i | 0.0177124 | + | 0.0306788i | ||||
\(914\) | 18.3685 | + | 34.8235i | 0.607576 | + | 1.15186i | ||||
\(915\) | 16.6453 | + | 2.49123i | 0.550277 | + | 0.0823576i | ||||
\(916\) | 0.171232 | + | 0.913125i | 0.00565767 | + | 0.0301705i | ||||
\(917\) | 0.443647 | + | 0.443647i | 0.0146505 | + | 0.0146505i | ||||
\(918\) | −16.9608 | − | 26.8559i | −0.559789 | − | 0.886376i | ||||
\(919\) | −18.6876 | −0.616446 | −0.308223 | − | 0.951314i | \(-0.599734\pi\) | ||||
−0.308223 | + | 0.951314i | \(0.599734\pi\) | |||||||
\(920\) | 46.4550 | − | 6.88593i | 1.53158 | − | 0.227022i | ||||
\(921\) | −25.3117 | − | 34.2218i | −0.834049 | − | 1.12765i | ||||
\(922\) | −7.00472 | + | 22.6432i | −0.230688 | + | 0.745716i | ||||
\(923\) | 7.01641 | + | 1.88004i | 0.230948 | + | 0.0618823i | ||||
\(924\) | −0.310406 | + | 0.0114304i | −0.0102116 | + | 0.000376033i | ||||
\(925\) | −4.98486 | + | 1.33569i | −0.163901 | + | 0.0439172i | ||||
\(926\) | −42.7452 | − | 1.63428i | −1.40470 | − | 0.0537057i | ||||
\(927\) | 5.68337 | + | 24.6647i | 0.186666 | + | 0.810094i | ||||
\(928\) | 3.03977 | + | 4.49777i | 0.0997853 | + | 0.147646i | ||||
\(929\) | −8.76538 | − | 5.06070i | −0.287583 | − | 0.166036i | 0.349268 | − | 0.937023i | \(-0.386430\pi\) |
−0.636851 | + | 0.770987i | \(0.719763\pi\) | |||||||
\(930\) | 26.4186 | + | 12.7153i | 0.866300 | + | 0.416951i | ||||
\(931\) | −37.9409 | − | 10.1662i | −1.24346 | − | 0.333185i | ||||
\(932\) | −7.90228 | − | 16.4779i | −0.258848 | − | 0.539750i | ||||
\(933\) | −8.75007 | − | 22.2270i | −0.286464 | − | 0.727681i | ||||
\(934\) | −7.06725 | − | 31.0803i | −0.231248 | − | 1.01698i | ||||
\(935\) | 6.40729i | 0.209541i | ||||||||
\(936\) | −12.6549 | − | 10.0996i | −0.413638 | − | 0.330116i | ||||
\(937\) | 19.1375i | 0.625194i | 0.949886 | + | 0.312597i | \(0.101199\pi\) | ||||
−0.949886 | + | 0.312597i | \(0.898801\pi\) | |||||||
\(938\) | −0.366397 | + | 0.0833139i | −0.0119633 | + | 0.00272030i | ||||
\(939\) | 21.9641 | − | 27.6008i | 0.716772 | − | 0.900717i | ||||
\(940\) | −16.5840 | + | 47.1480i | −0.540912 | + | 1.53780i | ||||
\(941\) | 41.4559 | + | 11.1081i | 1.35142 | + | 0.362113i | 0.860660 | − | 0.509179i | \(-0.170051\pi\) |
0.490764 | + | 0.871292i | \(0.336718\pi\) | |||||||
\(942\) | 23.1710 | + | 33.9695i | 0.754953 | + | 1.10679i | ||||
\(943\) | −62.8868 | − | 36.3077i | −2.04788 | − | 1.18234i | ||||
\(944\) | 13.6799 | − | 10.0275i | 0.445241 | − | 0.326368i | ||||
\(945\) | 1.31899 | − | 0.466145i | 0.0429069 | − | 0.0151637i | ||||
\(946\) | −0.427269 | + | 11.1754i | −0.0138917 | + | 0.363344i | ||||
\(947\) | 45.0535 | − | 12.0721i | 1.46404 | − | 0.392289i | 0.563159 | − | 0.826349i | \(-0.309586\pi\) |
0.900884 | + | 0.434060i | \(0.142919\pi\) | |||||||
\(948\) | 11.7334 | + | 2.68538i | 0.381083 | + | 0.0872172i | ||||
\(949\) | 3.45904 | + | 0.926848i | 0.112285 | + | 0.0300867i | ||||
\(950\) | −4.17387 | − | 1.29119i | −0.135418 | − | 0.0418919i | ||||
\(951\) | −36.1920 | + | 4.11585i | −1.17361 | + | 0.133466i | ||||
\(952\) | −0.929534 | + | 1.25305i | −0.0301264 | + | 0.0406117i | ||||
\(953\) | 20.2249 | 0.655149 | 0.327575 | − | 0.944825i | \(-0.393769\pi\) | ||||
0.327575 | + | 0.944825i | \(0.393769\pi\) | |||||||
\(954\) | −0.00114190 | + | 0.0154993i | −3.69703e−5 | + | 0.000501808i | ||||
\(955\) | −7.72399 | − | 7.72399i | −0.249943 | − | 0.249943i | ||||
\(956\) | −8.26273 | + | 12.0769i | −0.267236 | + | 0.390594i | ||||
\(957\) | −0.427810 | − | 1.08673i | −0.0138291 | − | 0.0351289i | ||||
\(958\) | 37.0506 | − | 19.5432i | 1.19705 | − | 0.631412i | ||||
\(959\) | −0.435445 | − | 0.754212i | −0.0140612 | − | 0.0243548i | ||||
\(960\) | −23.4534 | − | 17.4493i | −0.756955 | − | 0.563173i | ||||
\(961\) | 0.595170 | − | 1.03087i | 0.0191990 | − | 0.0332537i | ||||
\(962\) | −0.968635 | + | 25.3351i | −0.0312301 | + | 0.816836i | ||||
\(963\) | 27.1675 | − | 14.4305i | 0.875459 | − | 0.465018i | ||||
\(964\) | −4.97974 | − | 0.381338i | −0.160387 | − | 0.0122821i | ||||
\(965\) | 53.8680 | − | 14.4339i | 1.73407 | − | 0.464644i | ||||
\(966\) | −1.86512 | − | 1.60434i | −0.0600092 | − | 0.0516189i | ||||
\(967\) | 15.9815 | + | 27.6807i | 0.513930 | + | 0.890152i | 0.999869 | + | 0.0161601i | \(0.00514413\pi\) |
−0.485940 | + | 0.873992i | \(0.661523\pi\) | |||||||
\(968\) | 11.8167 | + | 27.2658i | 0.379804 | + | 0.876356i | ||||
\(969\) | −33.8542 | + | 25.0398i | −1.08755 | + | 0.804395i | ||||
\(970\) | −4.38983 | − | 19.3056i | −0.140949 | − | 0.619864i | ||||
\(971\) | −4.69660 | + | 4.69660i | −0.150721 | + | 0.150721i | −0.778440 | − | 0.627719i | \(-0.783989\pi\) |
0.627719 | + | 0.778440i | \(0.283989\pi\) | |||||||
\(972\) | −29.8243 | − | 9.08364i | −0.956614 | − | 0.291358i | ||||
\(973\) | −0.966226 | − | 0.966226i | −0.0309758 | − | 0.0309758i | ||||
\(974\) | 30.6773 | + | 19.3107i | 0.982964 | + | 0.618755i | ||||
\(975\) | 1.07950 | + | 1.45951i | 0.0345718 | + | 0.0467417i | ||||
\(976\) | −7.42262 | + | 16.8627i | −0.237592 | + | 0.539763i | ||||
\(977\) | −22.7888 | + | 13.1571i | −0.729079 | + | 0.420934i | −0.818085 | − | 0.575097i | \(-0.804964\pi\) |
0.0890064 | + | 0.996031i | \(0.471631\pi\) | |||||||
\(978\) | 0.127327 | + | 1.69401i | 0.00407147 | + | 0.0541686i | ||||
\(979\) | −1.92707 | − | 7.19193i | −0.0615895 | − | 0.229855i | ||||
\(980\) | 19.1844 | + | 22.3662i | 0.612822 | + | 0.714463i | ||||
\(981\) | −20.4695 | − | 38.5367i | −0.653542 | − | 1.23038i | ||||
\(982\) | −5.22426 | − | 5.63962i | −0.166713 | − | 0.179968i | ||||
\(983\) | 19.6448 | + | 11.3420i | 0.626573 | + | 0.361752i | 0.779424 | − | 0.626497i | \(-0.215512\pi\) |
−0.152851 | + | 0.988249i | \(0.548845\pi\) | |||||||
\(984\) | 11.6373 | + | 43.6767i | 0.370983 | + | 1.39236i | ||||
\(985\) | −13.2976 | + | 7.67740i | −0.423698 | + | 0.244622i | ||||
\(986\) | −5.60420 | − | 1.73367i | −0.178474 | − | 0.0552112i | ||||
\(987\) | 2.43627 | − | 0.959079i | 0.0775472 | − | 0.0305278i | ||||
\(988\) | −12.1201 | + | 17.7148i | −0.385592 | + | 0.563584i | ||||
\(989\) | −62.6343 | + | 62.6343i | −1.99165 | + | 1.99165i | ||||
\(990\) | 4.10824 | + | 4.76172i | 0.130568 | + | 0.151338i | ||||
\(991\) | 13.0577i | 0.414793i | 0.978257 | + | 0.207396i | \(0.0664990\pi\) | ||||
−0.978257 | + | 0.207396i | \(0.933501\pi\) | |||||||
\(992\) | −21.0341 | + | 24.2417i | −0.667833 | + | 0.769674i | ||||
\(993\) | 3.45722 | + | 30.4004i | 0.109711 | + | 0.964728i | ||||
\(994\) | −0.320537 | − | 0.607683i | −0.0101668 | − | 0.0192745i | ||||
\(995\) | −0.750435 | + | 2.80066i | −0.0237904 | + | 0.0887870i | ||||
\(996\) | 4.46999 | − | 2.80499i | 0.141637 | − | 0.0888795i | ||||
\(997\) | −2.05844 | − | 7.68222i | −0.0651916 | − | 0.243298i | 0.925639 | − | 0.378407i | \(-0.123528\pi\) |
−0.990831 | + | 0.135109i | \(0.956861\pi\) | |||||||
\(998\) | −21.4694 | − | 23.1763i | −0.679601 | − | 0.733633i | ||||
\(999\) | 16.2675 | + | 46.0301i | 0.514680 | + | 1.45633i |
(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 | 144.2.u.a.83.19 | yes | 88 | |
3.2 | odd | 2 | 432.2.v.a.35.4 | 88 | |||
4.3 | odd | 2 | 576.2.y.a.47.11 | 88 | |||
9.4 | even | 3 | 432.2.v.a.179.4 | 88 | |||
9.5 | odd | 6 | inner | 144.2.u.a.131.19 | yes | 88 | |
12.11 | even | 2 | 1728.2.z.a.1007.5 | 88 | |||
16.5 | even | 4 | 576.2.y.a.335.22 | 88 | |||
16.11 | odd | 4 | inner | 144.2.u.a.11.19 | ✓ | 88 | |
36.23 | even | 6 | 576.2.y.a.239.22 | 88 | |||
36.31 | odd | 6 | 1728.2.z.a.1583.5 | 88 | |||
48.5 | odd | 4 | 1728.2.z.a.143.5 | 88 | |||
48.11 | even | 4 | 432.2.v.a.251.4 | 88 | |||
144.5 | odd | 12 | 576.2.y.a.527.11 | 88 | |||
144.59 | even | 12 | inner | 144.2.u.a.59.19 | yes | 88 | |
144.85 | even | 12 | 1728.2.z.a.719.5 | 88 | |||
144.139 | odd | 12 | 432.2.v.a.395.4 | 88 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
144.2.u.a.11.19 | ✓ | 88 | 16.11 | odd | 4 | inner | |
144.2.u.a.59.19 | yes | 88 | 144.59 | even | 12 | inner | |
144.2.u.a.83.19 | yes | 88 | 1.1 | even | 1 | trivial | |
144.2.u.a.131.19 | yes | 88 | 9.5 | odd | 6 | inner | |
432.2.v.a.35.4 | 88 | 3.2 | odd | 2 | |||
432.2.v.a.179.4 | 88 | 9.4 | even | 3 | |||
432.2.v.a.251.4 | 88 | 48.11 | even | 4 | |||
432.2.v.a.395.4 | 88 | 144.139 | odd | 12 | |||
576.2.y.a.47.11 | 88 | 4.3 | odd | 2 | |||
576.2.y.a.239.22 | 88 | 36.23 | even | 6 | |||
576.2.y.a.335.22 | 88 | 16.5 | even | 4 | |||
576.2.y.a.527.11 | 88 | 144.5 | odd | 12 | |||
1728.2.z.a.143.5 | 88 | 48.5 | odd | 4 | |||
1728.2.z.a.719.5 | 88 | 144.85 | even | 12 | |||
1728.2.z.a.1007.5 | 88 | 12.11 | even | 2 | |||
1728.2.z.a.1583.5 | 88 | 36.31 | odd | 6 |