Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [546,2,Mod(145,546)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(546, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([0, 10, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("546.145");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 546.cg (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: | \(4.35983195036\) |
Analytic rank: | \(0\) |
Dimension: | \(40\) |
Relative dimension: | \(10\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 241.1 | ||
Character | \(\chi\) | \(=\) | 546.241 |
Dual form | 546.2.cg.b.145.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).
\(n\) | \(157\) | \(365\) | \(379\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(1\) | \(e\left(\frac{11}{12}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.707107 | − | 0.707107i | −0.500000 | − | 0.500000i | ||||
\(3\) | −0.866025 | + | 0.500000i | −0.500000 | + | 0.288675i | ||||
\(4\) | 1.00000i | 0.500000i | ||||||||
\(5\) | −4.23240 | − | 1.13407i | −1.89279 | − | 0.507171i | −0.998179 | − | 0.0603236i | \(-0.980787\pi\) |
−0.894610 | − | 0.446848i | \(-0.852547\pi\) | |||||||
\(6\) | 0.965926 | + | 0.258819i | 0.394338 | + | 0.105662i | ||||
\(7\) | 1.34853 | − | 2.27629i | 0.509696 | − | 0.860355i | ||||
\(8\) | 0.707107 | − | 0.707107i | 0.250000 | − | 0.250000i | ||||
\(9\) | 0.500000 | − | 0.866025i | 0.166667 | − | 0.288675i | ||||
\(10\) | 2.19085 | + | 3.79467i | 0.692809 | + | 1.19998i | ||||
\(11\) | 3.11756 | + | 0.835348i | 0.939980 | + | 0.251867i | 0.696105 | − | 0.717940i | \(-0.254915\pi\) |
0.243875 | + | 0.969807i | \(0.421581\pi\) | |||||||
\(12\) | −0.500000 | − | 0.866025i | −0.144338 | − | 0.250000i | ||||
\(13\) | −2.90215 | − | 2.13951i | −0.804913 | − | 0.593393i | ||||
\(14\) | −2.56313 | + | 0.656024i | −0.685025 | + | 0.175330i | ||||
\(15\) | 4.23240 | − | 1.13407i | 1.09280 | − | 0.292815i | ||||
\(16\) | −1.00000 | −0.250000 | ||||||||
\(17\) | −6.34145 | −1.53803 | −0.769013 | − | 0.639233i | \(-0.779252\pi\) | ||||
−0.769013 | + | 0.639233i | \(0.779252\pi\) | |||||||
\(18\) | −0.965926 | + | 0.258819i | −0.227671 | + | 0.0610042i | ||||
\(19\) | 1.39923 | + | 5.22199i | 0.321005 | + | 1.19801i | 0.918267 | + | 0.395961i | \(0.129589\pi\) |
−0.597262 | + | 0.802046i | \(0.703745\pi\) | |||||||
\(20\) | 1.13407 | − | 4.23240i | 0.253586 | − | 0.946394i | ||||
\(21\) | −0.0297166 | + | 2.64558i | −0.00648470 | + | 0.577314i | ||||
\(22\) | −1.61377 | − | 2.79513i | −0.344056 | − | 0.595923i | ||||
\(23\) | 1.98551i | 0.414008i | 0.978340 | + | 0.207004i | \(0.0663713\pi\) | ||||
−0.978340 | + | 0.207004i | \(0.933629\pi\) | |||||||
\(24\) | −0.258819 | + | 0.965926i | −0.0528312 | + | 0.197169i | ||||
\(25\) | 12.2970 | + | 7.09968i | 2.45940 | + | 1.41994i | ||||
\(26\) | 0.539271 | + | 3.56499i | 0.105760 | + | 0.699153i | ||||
\(27\) | 1.00000i | 0.192450i | ||||||||
\(28\) | 2.27629 | + | 1.34853i | 0.430177 | + | 0.254848i | ||||
\(29\) | −1.73874 | + | 3.01158i | −0.322876 | + | 0.559237i | −0.981080 | − | 0.193602i | \(-0.937983\pi\) |
0.658204 | + | 0.752839i | \(0.271316\pi\) | |||||||
\(30\) | −3.79467 | − | 2.19085i | −0.692809 | − | 0.399993i | ||||
\(31\) | 2.21076 | + | 8.25065i | 0.397063 | + | 1.48186i | 0.818237 | + | 0.574881i | \(0.194952\pi\) |
−0.421174 | + | 0.906980i | \(0.638382\pi\) | |||||||
\(32\) | 0.707107 | + | 0.707107i | 0.125000 | + | 0.125000i | ||||
\(33\) | −3.11756 | + | 0.835348i | −0.542698 | + | 0.145415i | ||||
\(34\) | 4.48408 | + | 4.48408i | 0.769013 | + | 0.769013i | ||||
\(35\) | −8.28898 | + | 8.10484i | −1.40109 | + | 1.36997i | ||||
\(36\) | 0.866025 | + | 0.500000i | 0.144338 | + | 0.0833333i | ||||
\(37\) | 0.127237 | − | 0.127237i | 0.0209176 | − | 0.0209176i | −0.696571 | − | 0.717488i | \(-0.745292\pi\) |
0.717488 | + | 0.696571i | \(0.245292\pi\) | |||||||
\(38\) | 2.70310 | − | 4.68191i | 0.438501 | − | 0.759506i | ||||
\(39\) | 3.58309 | + | 0.401793i | 0.573754 | + | 0.0643384i | ||||
\(40\) | −3.79467 | + | 2.19085i | −0.599990 | + | 0.346404i | ||||
\(41\) | −0.00297886 | − | 0.0111173i | −0.000465220 | − | 0.00173623i | 0.965693 | − | 0.259687i | \(-0.0836194\pi\) |
−0.966158 | + | 0.257951i | \(0.916953\pi\) | |||||||
\(42\) | 1.89172 | − | 1.84970i | 0.291899 | − | 0.285415i | ||||
\(43\) | −2.69459 | + | 1.55572i | −0.410921 | + | 0.237245i | −0.691185 | − | 0.722677i | \(-0.742911\pi\) |
0.280264 | + | 0.959923i | \(0.409578\pi\) | |||||||
\(44\) | −0.835348 | + | 3.11756i | −0.125933 | + | 0.469990i | ||||
\(45\) | −3.09834 | + | 3.09834i | −0.461873 | + | 0.461873i | ||||
\(46\) | 1.40397 | − | 1.40397i | 0.207004 | − | 0.207004i | ||||
\(47\) | 0.994423 | − | 3.71124i | 0.145051 | − | 0.541339i | −0.854702 | − | 0.519120i | \(-0.826260\pi\) |
0.999753 | − | 0.0222199i | \(-0.00707338\pi\) | |||||||
\(48\) | 0.866025 | − | 0.500000i | 0.125000 | − | 0.0721688i | ||||
\(49\) | −3.36295 | − | 6.13927i | −0.480421 | − | 0.877038i | ||||
\(50\) | −3.67507 | − | 13.7155i | −0.519733 | − | 1.93967i | ||||
\(51\) | 5.49185 | − | 3.17072i | 0.769013 | − | 0.443990i | ||||
\(52\) | 2.13951 | − | 2.90215i | 0.296697 | − | 0.402456i | ||||
\(53\) | −6.19883 | + | 10.7367i | −0.851475 | + | 1.47480i | 0.0284016 | + | 0.999597i | \(0.490958\pi\) |
−0.879877 | + | 0.475202i | \(0.842375\pi\) | |||||||
\(54\) | 0.707107 | − | 0.707107i | 0.0962250 | − | 0.0962250i | ||||
\(55\) | −12.2474 | − | 7.07106i | −1.65144 | − | 0.953461i | ||||
\(56\) | −0.656024 | − | 2.56313i | −0.0876648 | − | 0.342513i | ||||
\(57\) | −3.82276 | − | 3.82276i | −0.506337 | − | 0.506337i | ||||
\(58\) | 3.35899 | − | 0.900038i | 0.441057 | − | 0.118181i | ||||
\(59\) | 4.55586 | + | 4.55586i | 0.593122 | + | 0.593122i | 0.938473 | − | 0.345351i | \(-0.112240\pi\) |
−0.345351 | + | 0.938473i | \(0.612240\pi\) | |||||||
\(60\) | 1.13407 | + | 4.23240i | 0.146408 | + | 0.546401i | ||||
\(61\) | 4.94487 | + | 2.85492i | 0.633126 | + | 0.365535i | 0.781962 | − | 0.623326i | \(-0.214219\pi\) |
−0.148836 | + | 0.988862i | \(0.547553\pi\) | |||||||
\(62\) | 4.27085 | − | 7.39733i | 0.542399 | − | 0.939462i | ||||
\(63\) | −1.29706 | − | 2.30600i | −0.163414 | − | 0.290529i | ||||
\(64\) | − | 1.00000i | − | 0.125000i | ||||||
\(65\) | 9.85674 | + | 12.3465i | 1.22258 | + | 1.53140i | ||||
\(66\) | 2.79513 | + | 1.61377i | 0.344056 | + | 0.198641i | ||||
\(67\) | −1.37471 | + | 5.13050i | −0.167948 | + | 0.626790i | 0.829698 | + | 0.558213i | \(0.188513\pi\) |
−0.997646 | + | 0.0685772i | \(0.978154\pi\) | |||||||
\(68\) | − | 6.34145i | − | 0.769013i | ||||||
\(69\) | −0.992755 | − | 1.71950i | −0.119514 | − | 0.207004i | ||||
\(70\) | 11.5922 | + | 0.130210i | 1.38553 | + | 0.0155630i | ||||
\(71\) | 1.61017 | − | 6.00925i | 0.191092 | − | 0.713167i | −0.802151 | − | 0.597121i | \(-0.796311\pi\) |
0.993244 | − | 0.116046i | \(-0.0370220\pi\) | |||||||
\(72\) | −0.258819 | − | 0.965926i | −0.0305021 | − | 0.113835i | ||||
\(73\) | 3.47471 | − | 0.931045i | 0.406684 | − | 0.108971i | −0.0496772 | − | 0.998765i | \(-0.515819\pi\) |
0.456361 | + | 0.889795i | \(0.349153\pi\) | |||||||
\(74\) | −0.179940 | −0.0209176 | ||||||||
\(75\) | −14.1994 | −1.63960 | ||||||||
\(76\) | −5.22199 | + | 1.39923i | −0.599004 | + | 0.160503i | ||||
\(77\) | 6.10560 | − | 5.96997i | 0.695798 | − | 0.680341i | ||||
\(78\) | −2.24952 | − | 2.81774i | −0.254708 | − | 0.319046i | ||||
\(79\) | −7.63746 | − | 13.2285i | −0.859282 | − | 1.48832i | −0.872615 | − | 0.488408i | \(-0.837578\pi\) |
0.0133334 | − | 0.999911i | \(-0.495756\pi\) | |||||||
\(80\) | 4.23240 | + | 1.13407i | 0.473197 | + | 0.126793i | ||||
\(81\) | −0.500000 | − | 0.866025i | −0.0555556 | − | 0.0962250i | ||||
\(82\) | −0.00575472 | + | 0.00996747i | −0.000635503 | + | 0.00110072i | ||||
\(83\) | −1.17696 | + | 1.17696i | −0.129188 | + | 0.129188i | −0.768744 | − | 0.639556i | \(-0.779118\pi\) |
0.639556 | + | 0.768744i | \(0.279118\pi\) | |||||||
\(84\) | −2.64558 | − | 0.0297166i | −0.288657 | − | 0.00324235i | ||||
\(85\) | 26.8396 | + | 7.19164i | 2.91116 | + | 0.780043i | ||||
\(86\) | 3.00543 | + | 0.805301i | 0.324083 | + | 0.0868379i | ||||
\(87\) | − | 3.47748i | − | 0.372825i | ||||||
\(88\) | 2.79513 | − | 1.61377i | 0.297962 | − | 0.172028i | ||||
\(89\) | 12.6058 | + | 12.6058i | 1.33621 | + | 1.33621i | 0.899696 | + | 0.436516i | \(0.143788\pi\) |
0.436516 | + | 0.899696i | \(0.356212\pi\) | |||||||
\(90\) | 4.38171 | 0.461873 | ||||||||
\(91\) | −8.78377 | + | 3.72094i | −0.920789 | + | 0.390061i | ||||
\(92\) | −1.98551 | −0.207004 | ||||||||
\(93\) | −6.03990 | − | 6.03990i | −0.626308 | − | 0.626308i | ||||
\(94\) | −3.32740 | + | 1.92108i | −0.343195 | + | 0.198144i | ||||
\(95\) | − | 23.6884i | − | 2.43038i | ||||||
\(96\) | −0.965926 | − | 0.258819i | −0.0985844 | − | 0.0264156i | ||||
\(97\) | 2.25048 | + | 0.603015i | 0.228502 | + | 0.0612269i | 0.371253 | − | 0.928532i | \(-0.378928\pi\) |
−0.142751 | + | 0.989759i | \(0.545595\pi\) | |||||||
\(98\) | −1.96315 | + | 6.71908i | −0.198309 | + | 0.678729i | ||||
\(99\) | 2.28221 | − | 2.28221i | 0.229371 | − | 0.229371i | ||||
\(100\) | −7.09968 | + | 12.2970i | −0.709968 | + | 1.22970i | ||||
\(101\) | −4.16096 | − | 7.20699i | −0.414031 | − | 0.717122i | 0.581295 | − | 0.813693i | \(-0.302546\pi\) |
−0.995326 | + | 0.0965702i | \(0.969213\pi\) | |||||||
\(102\) | −6.12537 | − | 1.64129i | −0.606502 | − | 0.162512i | ||||
\(103\) | 1.19202 | + | 2.06463i | 0.117453 | + | 0.203434i | 0.918758 | − | 0.394822i | \(-0.129194\pi\) |
−0.801305 | + | 0.598256i | \(0.795860\pi\) | |||||||
\(104\) | −3.56499 | + | 0.539271i | −0.349576 | + | 0.0528798i | ||||
\(105\) | 3.12605 | − | 11.1635i | 0.305071 | − | 1.08944i | ||||
\(106\) | 11.9752 | − | 3.20875i | 1.16314 | − | 0.311662i | ||||
\(107\) | −4.26472 | −0.412286 | −0.206143 | − | 0.978522i | \(-0.566091\pi\) | ||||
−0.206143 | + | 0.978522i | \(0.566091\pi\) | |||||||
\(108\) | −1.00000 | −0.0962250 | ||||||||
\(109\) | −18.0839 | + | 4.84556i | −1.73212 | + | 0.464120i | −0.980670 | − | 0.195668i | \(-0.937312\pi\) |
−0.751451 | + | 0.659789i | \(0.770646\pi\) | |||||||
\(110\) | 3.66025 | + | 13.6602i | 0.348991 | + | 1.30245i | ||||
\(111\) | −0.0465718 | + | 0.173808i | −0.00442040 | + | 0.0164972i | ||||
\(112\) | −1.34853 | + | 2.27629i | −0.127424 | + | 0.215089i | ||||
\(113\) | 3.88176 | + | 6.72341i | 0.365166 | + | 0.632486i | 0.988803 | − | 0.149228i | \(-0.0476790\pi\) |
−0.623637 | + | 0.781714i | \(0.714346\pi\) | |||||||
\(114\) | 5.40620i | 0.506337i | ||||||||
\(115\) | 2.25171 | − | 8.40349i | 0.209973 | − | 0.783629i | ||||
\(116\) | −3.01158 | − | 1.73874i | −0.279619 | − | 0.161438i | ||||
\(117\) | −3.30395 | + | 1.44358i | −0.305450 | + | 0.133459i | ||||
\(118\) | − | 6.44295i | − | 0.593122i | ||||||
\(119\) | −8.55162 | + | 14.4349i | −0.783925 | + | 1.32325i | ||||
\(120\) | 2.19085 | − | 3.79467i | 0.199997 | − | 0.346404i | ||||
\(121\) | −0.504905 | − | 0.291507i | −0.0459005 | − | 0.0265007i | ||||
\(122\) | −1.47782 | − | 5.51529i | −0.133795 | − | 0.499331i | ||||
\(123\) | 0.00813841 | + | 0.00813841i | 0.000733816 | + | 0.000733816i | ||||
\(124\) | −8.25065 | + | 2.21076i | −0.740930 | + | 0.198532i | ||||
\(125\) | −28.5027 | − | 28.5027i | −2.54936 | − | 2.54936i | ||||
\(126\) | −0.713432 | + | 2.54775i | −0.0635575 | + | 0.226971i | ||||
\(127\) | −0.607656 | − | 0.350830i | −0.0539207 | − | 0.0311311i | 0.472797 | − | 0.881171i | \(-0.343244\pi\) |
−0.526718 | + | 0.850040i | \(0.676578\pi\) | |||||||
\(128\) | −0.707107 | + | 0.707107i | −0.0625000 | + | 0.0625000i | ||||
\(129\) | 1.55572 | − | 2.69459i | 0.136974 | − | 0.237245i | ||||
\(130\) | 1.76054 | − | 15.7001i | 0.154410 | − | 1.37699i | ||||
\(131\) | 6.17726 | − | 3.56644i | 0.539710 | − | 0.311602i | −0.205252 | − | 0.978709i | \(-0.565801\pi\) |
0.744961 | + | 0.667108i | \(0.232468\pi\) | |||||||
\(132\) | −0.835348 | − | 3.11756i | −0.0727077 | − | 0.271349i | ||||
\(133\) | 13.7736 | + | 3.85696i | 1.19433 | + | 0.334441i | ||||
\(134\) | 4.59988 | − | 2.65574i | 0.397369 | − | 0.229421i | ||||
\(135\) | 1.13407 | − | 4.23240i | 0.0976052 | − | 0.364267i | ||||
\(136\) | −4.48408 | + | 4.48408i | −0.384507 | + | 0.384507i | ||||
\(137\) | −0.639858 | + | 0.639858i | −0.0546668 | + | 0.0546668i | −0.733912 | − | 0.679245i | \(-0.762307\pi\) |
0.679245 | + | 0.733912i | \(0.262307\pi\) | |||||||
\(138\) | −0.513888 | + | 1.91786i | −0.0437451 | + | 0.163259i | ||||
\(139\) | −17.7912 | + | 10.2718i | −1.50903 | + | 0.871239i | −0.509085 | + | 0.860716i | \(0.670016\pi\) |
−0.999945 | + | 0.0105224i | \(0.996651\pi\) | |||||||
\(140\) | −8.10484 | − | 8.28898i | −0.684984 | − | 0.700547i | ||||
\(141\) | 0.994423 | + | 3.71124i | 0.0837455 | + | 0.312542i | ||||
\(142\) | −5.38775 | + | 3.11062i | −0.452130 | + | 0.261037i | ||||
\(143\) | −7.26040 | − | 9.09436i | −0.607145 | − | 0.760508i | ||||
\(144\) | −0.500000 | + | 0.866025i | −0.0416667 | + | 0.0721688i | ||||
\(145\) | 10.7744 | − | 10.7744i | 0.894765 | − | 0.894765i | ||||
\(146\) | −3.11534 | − | 1.79864i | −0.257827 | − | 0.148857i | ||||
\(147\) | 5.98203 | + | 3.63529i | 0.493390 | + | 0.299833i | ||||
\(148\) | 0.127237 | + | 0.127237i | 0.0104588 | + | 0.0104588i | ||||
\(149\) | 6.98514 | − | 1.87166i | 0.572245 | − | 0.153332i | 0.0389188 | − | 0.999242i | \(-0.487609\pi\) |
0.533326 | + | 0.845910i | \(0.320942\pi\) | |||||||
\(150\) | 10.0405 | + | 10.0405i | 0.819801 | + | 0.819801i | ||||
\(151\) | 0.876878 | + | 3.27255i | 0.0713593 | + | 0.266317i | 0.992383 | − | 0.123190i | \(-0.0393123\pi\) |
−0.921024 | + | 0.389506i | \(0.872646\pi\) | |||||||
\(152\) | 4.68191 | + | 2.70310i | 0.379753 | + | 0.219251i | ||||
\(153\) | −3.17072 | + | 5.49185i | −0.256338 | + | 0.443990i | ||||
\(154\) | −8.53872 | − | 0.0959114i | −0.688069 | − | 0.00772876i | ||||
\(155\) | − | 37.4272i | − | 3.00623i | ||||||
\(156\) | −0.401793 | + | 3.58309i | −0.0321692 | + | 0.286877i | ||||
\(157\) | −1.58306 | − | 0.913980i | −0.126342 | − | 0.0729436i | 0.435497 | − | 0.900190i | \(-0.356573\pi\) |
−0.561839 | + | 0.827247i | \(0.689906\pi\) | |||||||
\(158\) | −3.95344 | + | 14.7544i | −0.314519 | + | 1.17380i | ||||
\(159\) | − | 12.3977i | − | 0.983199i | ||||||
\(160\) | −2.19085 | − | 3.79467i | −0.173202 | − | 0.299995i | ||||
\(161\) | 4.51959 | + | 2.67752i | 0.356193 | + | 0.211018i | ||||
\(162\) | −0.258819 | + | 0.965926i | −0.0203347 | + | 0.0758903i | ||||
\(163\) | 2.96661 | + | 11.0716i | 0.232363 | + | 0.867191i | 0.979320 | + | 0.202318i | \(0.0648475\pi\) |
−0.746957 | + | 0.664873i | \(0.768486\pi\) | |||||||
\(164\) | 0.0111173 | − | 0.00297886i | 0.000868113 | − | 0.000232610i | ||||
\(165\) | 14.1421 | 1.10096 | ||||||||
\(166\) | 1.66448 | 0.129188 | ||||||||
\(167\) | 9.75066 | − | 2.61268i | 0.754529 | − | 0.202175i | 0.139003 | − | 0.990292i | \(-0.455610\pi\) |
0.615526 | + | 0.788117i | \(0.288944\pi\) | |||||||
\(168\) | 1.84970 | + | 1.89172i | 0.142707 | + | 0.145950i | ||||
\(169\) | 3.84499 | + | 12.4184i | 0.295769 | + | 0.955260i | ||||
\(170\) | −13.8932 | − | 24.0637i | −1.06556 | − | 1.84560i | ||||
\(171\) | 5.22199 | + | 1.39923i | 0.399336 | + | 0.107002i | ||||
\(172\) | −1.55572 | − | 2.69459i | −0.118623 | − | 0.205461i | ||||
\(173\) | −5.46401 | + | 9.46394i | −0.415421 | + | 0.719530i | −0.995473 | − | 0.0950498i | \(-0.969699\pi\) |
0.580052 | + | 0.814580i | \(0.303032\pi\) | |||||||
\(174\) | −2.45895 | + | 2.45895i | −0.186412 | + | 0.186412i | ||||
\(175\) | 32.7438 | − | 18.4174i | 2.47520 | − | 1.39222i | ||||
\(176\) | −3.11756 | − | 0.835348i | −0.234995 | − | 0.0629667i | ||||
\(177\) | −6.22342 | − | 1.66756i | −0.467781 | − | 0.125341i | ||||
\(178\) | − | 17.8273i | − | 1.33621i | ||||||
\(179\) | −8.69473 | + | 5.01990i | −0.649875 | + | 0.375205i | −0.788408 | − | 0.615152i | \(-0.789094\pi\) |
0.138534 | + | 0.990358i | \(0.455761\pi\) | |||||||
\(180\) | −3.09834 | − | 3.09834i | −0.230936 | − | 0.230936i | ||||
\(181\) | 0.280875 | 0.0208773 | 0.0104386 | − | 0.999946i | \(-0.496677\pi\) | ||||
0.0104386 | + | 0.999946i | \(0.496677\pi\) | |||||||
\(182\) | 8.84217 | + | 3.57996i | 0.655425 | + | 0.265364i | ||||
\(183\) | −5.70985 | −0.422084 | ||||||||
\(184\) | 1.40397 | + | 1.40397i | 0.103502 | + | 0.103502i | ||||
\(185\) | −0.682812 | + | 0.394222i | −0.0502013 | + | 0.0289838i | ||||
\(186\) | 8.54170i | 0.626308i | ||||||||
\(187\) | −19.7698 | − | 5.29731i | −1.44571 | − | 0.387378i | ||||
\(188\) | 3.71124 | + | 0.994423i | 0.270670 | + | 0.0725257i | ||||
\(189\) | 2.27629 | + | 1.34853i | 0.165575 | + | 0.0980909i | ||||
\(190\) | −16.7502 | + | 16.7502i | −1.21519 | + | 1.21519i | ||||
\(191\) | −1.99049 | + | 3.44763i | −0.144027 | + | 0.249461i | −0.929009 | − | 0.370056i | \(-0.879338\pi\) |
0.784983 | + | 0.619518i | \(0.212672\pi\) | |||||||
\(192\) | 0.500000 | + | 0.866025i | 0.0360844 | + | 0.0625000i | ||||
\(193\) | −23.6743 | − | 6.34351i | −1.70411 | − | 0.456616i | −0.730143 | − | 0.683294i | \(-0.760547\pi\) |
−0.973970 | + | 0.226679i | \(0.927213\pi\) | |||||||
\(194\) | −1.16494 | − | 2.01773i | −0.0836375 | − | 0.144864i | ||||
\(195\) | −14.7094 | − | 5.76403i | −1.05337 | − | 0.412771i | ||||
\(196\) | 6.13927 | − | 3.36295i | 0.438519 | − | 0.240210i | ||||
\(197\) | 3.65004 | − | 0.978025i | 0.260054 | − | 0.0696814i | −0.126436 | − | 0.991975i | \(-0.540354\pi\) |
0.386491 | + | 0.922293i | \(0.373687\pi\) | |||||||
\(198\) | −3.22754 | −0.229371 | ||||||||
\(199\) | −3.57417 | −0.253366 | −0.126683 | − | 0.991943i | \(-0.540433\pi\) | ||||
−0.126683 | + | 0.991943i | \(0.540433\pi\) | |||||||
\(200\) | 13.7155 | − | 3.67507i | 0.969835 | − | 0.259866i | ||||
\(201\) | −1.37471 | − | 5.13050i | −0.0969647 | − | 0.361877i | ||||
\(202\) | −2.15387 | + | 8.03835i | −0.151546 | + | 0.565577i | ||||
\(203\) | 4.51049 | + | 8.01907i | 0.316574 | + | 0.562828i | ||||
\(204\) | 3.17072 | + | 5.49185i | 0.221995 | + | 0.384507i | ||||
\(205\) | 0.0504310i | 0.00352226i | ||||||||
\(206\) | 0.617033 | − | 2.30280i | 0.0429907 | − | 0.160443i | ||||
\(207\) | 1.71950 | + | 0.992755i | 0.119514 | + | 0.0690013i | ||||
\(208\) | 2.90215 | + | 2.13951i | 0.201228 | + | 0.148348i | ||||
\(209\) | 17.4487i | 1.20695i | ||||||||
\(210\) | −10.1042 | + | 5.68332i | −0.697258 | + | 0.392187i | ||||
\(211\) | −7.71910 | + | 13.3699i | −0.531405 | + | 0.920420i | 0.467924 | + | 0.883769i | \(0.345002\pi\) |
−0.999328 | + | 0.0366508i | \(0.988331\pi\) | |||||||
\(212\) | −10.7367 | − | 6.19883i | −0.737399 | − | 0.425738i | ||||
\(213\) | 1.61017 | + | 6.00925i | 0.110327 | + | 0.411747i | ||||
\(214\) | 3.01561 | + | 3.01561i | 0.206143 | + | 0.206143i | ||||
\(215\) | 13.1689 | − | 3.52860i | 0.898111 | − | 0.240648i | ||||
\(216\) | 0.707107 | + | 0.707107i | 0.0481125 | + | 0.0481125i | ||||
\(217\) | 21.7621 | + | 6.09392i | 1.47731 | + | 0.413682i | ||||
\(218\) | 16.2136 | + | 9.36090i | 1.09812 | + | 0.634000i | ||||
\(219\) | −2.54366 | + | 2.54366i | −0.171885 | + | 0.171885i | ||||
\(220\) | 7.07106 | − | 12.2474i | 0.476731 | − | 0.825722i | ||||
\(221\) | 18.4039 | + | 13.5676i | 1.23798 | + | 0.912655i | ||||
\(222\) | 0.155832 | − | 0.0899699i | 0.0104588 | − | 0.00603838i | ||||
\(223\) | −5.78209 | − | 21.5790i | −0.387197 | − | 1.44504i | −0.834674 | − | 0.550744i | \(-0.814344\pi\) |
0.447477 | − | 0.894295i | \(-0.352323\pi\) | |||||||
\(224\) | 2.56313 | − | 0.656024i | 0.171256 | − | 0.0438324i | ||||
\(225\) | 12.2970 | − | 7.09968i | 0.819801 | − | 0.473312i | ||||
\(226\) | 2.00935 | − | 7.49899i | 0.133660 | − | 0.498826i | ||||
\(227\) | −16.3453 | + | 16.3453i | −1.08488 | + | 1.08488i | −0.0888311 | + | 0.996047i | \(0.528313\pi\) |
−0.996047 | + | 0.0888311i | \(0.971687\pi\) | |||||||
\(228\) | 3.82276 | − | 3.82276i | 0.253169 | − | 0.253169i | ||||
\(229\) | 3.69250 | − | 13.7806i | 0.244007 | − | 0.910646i | −0.729873 | − | 0.683583i | \(-0.760421\pi\) |
0.973880 | − | 0.227064i | \(-0.0729125\pi\) | |||||||
\(230\) | −7.53436 | + | 4.34996i | −0.496801 | + | 0.286828i | ||||
\(231\) | −2.30263 | + | 8.22294i | −0.151502 | + | 0.541030i | ||||
\(232\) | 0.900038 | + | 3.35899i | 0.0590904 | + | 0.220528i | ||||
\(233\) | −1.76570 | + | 1.01943i | −0.115675 | + | 0.0667851i | −0.556721 | − | 0.830699i | \(-0.687941\pi\) |
0.441046 | + | 0.897484i | \(0.354608\pi\) | |||||||
\(234\) | 3.35701 | + | 1.31548i | 0.219455 | + | 0.0859953i | ||||
\(235\) | −8.41760 | + | 14.5797i | −0.549104 | + | 0.951075i | ||||
\(236\) | −4.55586 | + | 4.55586i | −0.296561 | + | 0.296561i | ||||
\(237\) | 13.2285 | + | 7.63746i | 0.859282 | + | 0.496107i | ||||
\(238\) | 16.2540 | − | 4.16014i | 1.05359 | − | 0.269662i | ||||
\(239\) | 7.26823 | + | 7.26823i | 0.470143 | + | 0.470143i | 0.901961 | − | 0.431818i | \(-0.142128\pi\) |
−0.431818 | + | 0.901961i | \(0.642128\pi\) | |||||||
\(240\) | −4.23240 | + | 1.13407i | −0.273201 | + | 0.0732039i | ||||
\(241\) | 7.76419 | + | 7.76419i | 0.500136 | + | 0.500136i | 0.911480 | − | 0.411344i | \(-0.134941\pi\) |
−0.411344 | + | 0.911480i | \(0.634941\pi\) | |||||||
\(242\) | 0.150895 | + | 0.563149i | 0.00969991 | + | 0.0362006i | ||||
\(243\) | 0.866025 | + | 0.500000i | 0.0555556 | + | 0.0320750i | ||||
\(244\) | −2.85492 | + | 4.94487i | −0.182768 | + | 0.316563i | ||||
\(245\) | 7.27100 | + | 29.7977i | 0.464527 | + | 1.90370i | ||||
\(246\) | − | 0.0115094i | − | 0.000733816i | ||||||
\(247\) | 7.11173 | − | 18.1487i | 0.452508 | − | 1.15477i | ||||
\(248\) | 7.39733 | + | 4.27085i | 0.469731 | + | 0.271199i | ||||
\(249\) | 0.430798 | − | 1.60776i | 0.0273007 | − | 0.101888i | ||||
\(250\) | 40.3089i | 2.54936i | ||||||||
\(251\) | 6.53973 | + | 11.3271i | 0.412784 | + | 0.714963i | 0.995193 | − | 0.0979333i | \(-0.0312232\pi\) |
−0.582409 | + | 0.812896i | \(0.697890\pi\) | |||||||
\(252\) | 2.30600 | − | 1.29706i | 0.145264 | − | 0.0817069i | ||||
\(253\) | −1.65859 | + | 6.18995i | −0.104275 | + | 0.389159i | ||||
\(254\) | 0.181603 | + | 0.677752i | 0.0113948 | + | 0.0425259i | ||||
\(255\) | −26.8396 | + | 7.19164i | −1.68076 | + | 0.450358i | ||||
\(256\) | 1.00000 | 0.0625000 | ||||||||
\(257\) | 0.0646125 | 0.00403042 | 0.00201521 | − | 0.999998i | \(-0.499359\pi\) | ||||
0.00201521 | + | 0.999998i | \(0.499359\pi\) | |||||||
\(258\) | −3.00543 | + | 0.805301i | −0.187110 | + | 0.0501359i | ||||
\(259\) | −0.118045 | − | 0.461209i | −0.00733494 | − | 0.0286581i | ||||
\(260\) | −12.3465 | + | 9.85674i | −0.765698 | + | 0.611289i | ||||
\(261\) | 1.73874 | + | 3.01158i | 0.107625 | + | 0.186412i | ||||
\(262\) | −6.88984 | − | 1.84613i | −0.425656 | − | 0.114054i | ||||
\(263\) | 1.99949 | + | 3.46323i | 0.123294 | + | 0.213552i | 0.921065 | − | 0.389409i | \(-0.127321\pi\) |
−0.797771 | + | 0.602961i | \(0.793987\pi\) | |||||||
\(264\) | −1.61377 | + | 2.79513i | −0.0993205 | + | 0.172028i | ||||
\(265\) | 38.4121 | − | 38.4121i | 2.35964 | − | 2.35964i | ||||
\(266\) | −7.01215 | − | 12.4667i | −0.429943 | − | 0.764383i | ||||
\(267\) | −17.2198 | − | 4.61404i | −1.05384 | − | 0.282375i | ||||
\(268\) | −5.13050 | − | 1.37471i | −0.313395 | − | 0.0839739i | ||||
\(269\) | − | 4.29672i | − | 0.261976i | −0.991384 | − | 0.130988i | \(-0.958185\pi\) | ||
0.991384 | − | 0.130988i | \(-0.0418149\pi\) | |||||||
\(270\) | −3.79467 | + | 2.19085i | −0.230936 | + | 0.133331i | ||||
\(271\) | −5.39082 | − | 5.39082i | −0.327469 | − | 0.327469i | 0.524154 | − | 0.851623i | \(-0.324381\pi\) |
−0.851623 | + | 0.524154i | \(0.824381\pi\) | |||||||
\(272\) | 6.34145 | 0.384507 | ||||||||
\(273\) | 5.74650 | − | 7.61431i | 0.347794 | − | 0.460839i | ||||
\(274\) | 0.904896 | 0.0546668 | ||||||||
\(275\) | 32.4060 | + | 32.4060i | 1.95415 | + | 1.95415i | ||||
\(276\) | 1.71950 | − | 0.992755i | 0.103502 | − | 0.0597569i | ||||
\(277\) | 1.27884i | 0.0768382i | 0.999262 | + | 0.0384191i | \(0.0122322\pi\) | ||||
−0.999262 | + | 0.0384191i | \(0.987768\pi\) | |||||||
\(278\) | 19.8435 | + | 5.31705i | 1.19013 | + | 0.318895i | ||||
\(279\) | 8.25065 | + | 2.21076i | 0.493954 | + | 0.132354i | ||||
\(280\) | −0.130210 | + | 11.5922i | −0.00778151 | + | 0.692765i | ||||
\(281\) | 7.17377 | − | 7.17377i | 0.427951 | − | 0.427951i | −0.459979 | − | 0.887930i | \(-0.652143\pi\) |
0.887930 | + | 0.459979i | \(0.152143\pi\) | |||||||
\(282\) | 1.92108 | − | 3.32740i | 0.114398 | − | 0.198144i | ||||
\(283\) | −2.16909 | − | 3.75698i | −0.128939 | − | 0.223329i | 0.794327 | − | 0.607491i | \(-0.207824\pi\) |
−0.923266 | + | 0.384162i | \(0.874491\pi\) | |||||||
\(284\) | 6.00925 | + | 1.61017i | 0.356583 | + | 0.0955462i | ||||
\(285\) | 11.8442 | + | 20.5148i | 0.701590 | + | 1.21519i | ||||
\(286\) | −1.29680 | + | 11.5646i | −0.0766815 | + | 0.683827i | ||||
\(287\) | −0.0293232 | − | 0.00821120i | −0.00173089 | − | 0.000484692i | ||||
\(288\) | 0.965926 | − | 0.258819i | 0.0569177 | − | 0.0152511i | ||||
\(289\) | 23.2140 | 1.36553 | ||||||||
\(290\) | −15.2373 | −0.894765 | ||||||||
\(291\) | −2.25048 | + | 0.603015i | −0.131926 | + | 0.0353494i | ||||
\(292\) | 0.931045 | + | 3.47471i | 0.0544853 | + | 0.203342i | ||||
\(293\) | −4.70535 | + | 17.5606i | −0.274890 | + | 1.02590i | 0.681026 | + | 0.732260i | \(0.261534\pi\) |
−0.955915 | + | 0.293643i | \(0.905132\pi\) | |||||||
\(294\) | −1.65940 | − | 6.80047i | −0.0967781 | − | 0.396611i | ||||
\(295\) | −14.1156 | − | 24.4489i | −0.821840 | − | 1.42347i | ||||
\(296\) | − | 0.179940i | − | 0.0104588i | ||||||
\(297\) | −0.835348 | + | 3.11756i | −0.0484718 | + | 0.180899i | ||||
\(298\) | −6.26270 | − | 3.61577i | −0.362789 | − | 0.209456i | ||||
\(299\) | 4.24802 | − | 5.76226i | 0.245669 | − | 0.333240i | ||||
\(300\) | − | 14.1994i | − | 0.819801i | ||||||
\(301\) | −0.0924616 | + | 8.23159i | −0.00532940 | + | 0.474461i | ||||
\(302\) | 1.69400 | − | 2.93409i | 0.0974786 | − | 0.168838i | ||||
\(303\) | 7.20699 | + | 4.16096i | 0.414031 | + | 0.239041i | ||||
\(304\) | −1.39923 | − | 5.22199i | −0.0802513 | − | 0.299502i | ||||
\(305\) | −17.6910 | − | 17.6910i | −1.01298 | − | 1.01298i | ||||
\(306\) | 6.12537 | − | 1.64129i | 0.350164 | − | 0.0938262i | ||||
\(307\) | −7.72652 | − | 7.72652i | −0.440976 | − | 0.440976i | 0.451364 | − | 0.892340i | \(-0.350938\pi\) |
−0.892340 | + | 0.451364i | \(0.850938\pi\) | |||||||
\(308\) | 5.96997 | + | 6.10560i | 0.340170 | + | 0.347899i | ||||
\(309\) | −2.06463 | − | 1.19202i | −0.117453 | − | 0.0678114i | ||||
\(310\) | −26.4651 | + | 26.4651i | −1.50311 | + | 1.50311i | ||||
\(311\) | −5.76925 | + | 9.99263i | −0.327144 | + | 0.566630i | −0.981944 | − | 0.189172i | \(-0.939420\pi\) |
0.654800 | + | 0.755802i | \(0.272753\pi\) | |||||||
\(312\) | 2.81774 | − | 2.24952i | 0.159523 | − | 0.127354i | ||||
\(313\) | −15.6924 | + | 9.06000i | −0.886986 | + | 0.512101i | −0.872955 | − | 0.487800i | \(-0.837799\pi\) |
−0.0140304 | + | 0.999902i | \(0.504466\pi\) | |||||||
\(314\) | 0.473111 | + | 1.76567i | 0.0266992 | + | 0.0996428i | ||||
\(315\) | 2.87450 | + | 11.2309i | 0.161960 | + | 0.632789i | ||||
\(316\) | 13.2285 | − | 7.63746i | 0.744160 | − | 0.429641i | ||||
\(317\) | 6.42219 | − | 23.9680i | 0.360706 | − | 1.34617i | −0.512443 | − | 0.858721i | \(-0.671259\pi\) |
0.873149 | − | 0.487453i | \(-0.162074\pi\) | |||||||
\(318\) | −8.76647 | + | 8.76647i | −0.491599 | + | 0.491599i | ||||
\(319\) | −7.93634 | + | 7.93634i | −0.444350 | + | 0.444350i | ||||
\(320\) | −1.13407 | + | 4.23240i | −0.0633964 | + | 0.236599i | ||||
\(321\) | 3.69335 | − | 2.13236i | 0.206143 | − | 0.119017i | ||||
\(322\) | −1.30254 | − | 5.08912i | −0.0725878 | − | 0.283606i | ||||
\(323\) | −8.87314 | − | 33.1150i | −0.493714 | − | 1.84257i | ||||
\(324\) | 0.866025 | − | 0.500000i | 0.0481125 | − | 0.0277778i | ||||
\(325\) | −20.4980 | − | 46.9139i | −1.13702 | − | 2.60232i | ||||
\(326\) | 5.73106 | − | 9.92648i | 0.317414 | − | 0.549777i | ||||
\(327\) | 13.2383 | − | 13.2383i | 0.732081 | − | 0.732081i | ||||
\(328\) | −0.00996747 | − | 0.00575472i | −0.000550362 | − | 0.000317751i | ||||
\(329\) | −7.10682 | − | 7.26829i | −0.391812 | − | 0.400714i | ||||
\(330\) | −9.99999 | − | 9.99999i | −0.550481 | − | 0.550481i | ||||
\(331\) | −12.4551 | + | 3.33732i | −0.684592 | + | 0.183436i | −0.584319 | − | 0.811524i | \(-0.698638\pi\) |
−0.100273 | + | 0.994960i | \(0.531972\pi\) | |||||||
\(332\) | −1.17696 | − | 1.17696i | −0.0645942 | − | 0.0645942i | ||||
\(333\) | −0.0465718 | − | 0.173808i | −0.00255212 | − | 0.00952464i | ||||
\(334\) | −8.74221 | − | 5.04731i | −0.478352 | − | 0.276177i | ||||
\(335\) | 11.6367 | − | 20.1553i | 0.635780 | − | 1.10120i | ||||
\(336\) | 0.0297166 | − | 2.64558i | 0.00162117 | − | 0.144328i | ||||
\(337\) | − | 10.2939i | − | 0.560743i | −0.959892 | − | 0.280372i | \(-0.909542\pi\) | ||
0.959892 | − | 0.280372i | \(-0.0904577\pi\) | |||||||
\(338\) | 6.06230 | − | 11.4999i | 0.329745 | − | 0.625514i | ||||
\(339\) | −6.72341 | − | 3.88176i | −0.365166 | − | 0.210829i | ||||
\(340\) | −7.19164 | + | 26.8396i | −0.390022 | + | 1.45558i | ||||
\(341\) | 27.5687i | 1.49293i | ||||||||
\(342\) | −2.70310 | − | 4.68191i | −0.146167 | − | 0.253169i | ||||
\(343\) | −18.5097 | − | 0.623944i | −0.999432 | − | 0.0336898i | ||||
\(344\) | −0.805301 | + | 3.00543i | −0.0434189 | + | 0.162042i | ||||
\(345\) | 2.25171 | + | 8.40349i | 0.121228 | + | 0.452428i | ||||
\(346\) | 10.5557 | − | 2.82838i | 0.567475 | − | 0.152055i | ||||
\(347\) | 27.2227 | 1.46139 | 0.730694 | − | 0.682705i | \(-0.239197\pi\) | ||||
0.730694 | + | 0.682705i | \(0.239197\pi\) | |||||||
\(348\) | 3.47748 | 0.186412 | ||||||||
\(349\) | −20.4872 | + | 5.48954i | −1.09666 | + | 0.293848i | −0.761402 | − | 0.648280i | \(-0.775489\pi\) |
−0.335254 | + | 0.942128i | \(0.608822\pi\) | |||||||
\(350\) | −36.1764 | − | 10.1303i | −1.93371 | − | 0.541486i | ||||
\(351\) | 2.13951 | − | 2.90215i | 0.114199 | − | 0.154906i | ||||
\(352\) | 1.61377 | + | 2.79513i | 0.0860141 | + | 0.148981i | ||||
\(353\) | 3.44843 | + | 0.924004i | 0.183541 | + | 0.0491797i | 0.349419 | − | 0.936967i | \(-0.386379\pi\) |
−0.165878 | + | 0.986146i | \(0.553046\pi\) | |||||||
\(354\) | 3.22148 | + | 5.57976i | 0.171220 | + | 0.296561i | ||||
\(355\) | −13.6298 | + | 23.6075i | −0.723395 | + | 1.25296i | ||||
\(356\) | −12.6058 | + | 12.6058i | −0.668106 | + | 0.668106i | ||||
\(357\) | 0.188446 | − | 16.7768i | 0.00997364 | − | 0.887924i | ||||
\(358\) | 9.69771 | + | 2.59849i | 0.512540 | + | 0.137335i | ||||
\(359\) | −17.5556 | − | 4.70401i | −0.926549 | − | 0.248268i | −0.236167 | − | 0.971713i | \(-0.575891\pi\) |
−0.690383 | + | 0.723444i | \(0.742558\pi\) | |||||||
\(360\) | 4.38171i | 0.230936i | ||||||||
\(361\) | −8.85688 | + | 5.11352i | −0.466152 | + | 0.269133i | ||||
\(362\) | −0.198609 | − | 0.198609i | −0.0104386 | − | 0.0104386i | ||||
\(363\) | 0.583014 | 0.0306003 | ||||||||
\(364\) | −3.72094 | − | 8.78377i | −0.195030 | − | 0.460395i | ||||
\(365\) | −15.7622 | −0.825033 | ||||||||
\(366\) | 4.03747 | + | 4.03747i | 0.211042 | + | 0.211042i | ||||
\(367\) | 0.307242 | − | 0.177386i | 0.0160379 | − | 0.00925948i | −0.491960 | − | 0.870618i | \(-0.663719\pi\) |
0.507998 | + | 0.861359i | \(0.330386\pi\) | |||||||
\(368\) | − | 1.98551i | − | 0.103502i | ||||||
\(369\) | −0.0111173 | − | 0.00297886i | −0.000578742 | − | 0.000155073i | ||||
\(370\) | 0.761578 | + | 0.204064i | 0.0395925 | + | 0.0106088i | ||||
\(371\) | 16.0805 | + | 28.5890i | 0.834857 | + | 1.48427i | ||||
\(372\) | 6.03990 | − | 6.03990i | 0.313154 | − | 0.313154i | ||||
\(373\) | −10.6004 | + | 18.3604i | −0.548867 | + | 0.950666i | 0.449485 | + | 0.893288i | \(0.351607\pi\) |
−0.998353 | + | 0.0573783i | \(0.981726\pi\) | |||||||
\(374\) | 10.2336 | + | 17.7252i | 0.529168 | + | 0.916546i | ||||
\(375\) | 38.9354 | + | 10.4327i | 2.01062 | + | 0.538743i | ||||
\(376\) | −1.92108 | − | 3.32740i | −0.0990720 | − | 0.171598i | ||||
\(377\) | 11.4894 | − | 5.02003i | 0.591734 | − | 0.258545i | ||||
\(378\) | −0.656024 | − | 2.56313i | −0.0337422 | − | 0.131833i | ||||
\(379\) | 10.3631 | − | 2.77679i | 0.532317 | − | 0.142634i | 0.0173592 | − | 0.999849i | \(-0.494474\pi\) |
0.514958 | + | 0.857215i | \(0.327807\pi\) | |||||||
\(380\) | 23.6884 | 1.21519 | ||||||||
\(381\) | 0.701660 | 0.0359471 | ||||||||
\(382\) | 3.84533 | − | 1.03035i | 0.196744 | − | 0.0527174i | ||||
\(383\) | 3.79762 | + | 14.1729i | 0.194049 | + | 0.724202i | 0.992511 | + | 0.122156i | \(0.0389809\pi\) |
−0.798462 | + | 0.602046i | \(0.794352\pi\) | |||||||
\(384\) | 0.258819 | − | 0.965926i | 0.0132078 | − | 0.0492922i | ||||
\(385\) | −32.6117 | + | 18.3431i | −1.66205 | + | 0.934853i | ||||
\(386\) | 12.2547 | + | 21.2258i | 0.623748 | + | 1.08036i | ||||
\(387\) | 3.11145i | 0.158164i | ||||||||
\(388\) | −0.603015 | + | 2.25048i | −0.0306135 | + | 0.114251i | ||||
\(389\) | −6.90619 | − | 3.98729i | −0.350158 | − | 0.202164i | 0.314597 | − | 0.949225i | \(-0.398131\pi\) |
−0.664755 | + | 0.747062i | \(0.731464\pi\) | |||||||
\(390\) | 6.32536 | + | 14.4769i | 0.320297 | + | 0.733068i | ||||
\(391\) | − | 12.5910i | − | 0.636755i | ||||||
\(392\) | −6.71908 | − | 1.96315i | −0.339365 | − | 0.0991543i | ||||
\(393\) | −3.56644 | + | 6.17726i | −0.179903 | + | 0.311602i | ||||
\(394\) | −3.27253 | − | 1.88940i | −0.164868 | − | 0.0951865i | ||||
\(395\) | 17.3228 | + | 64.6497i | 0.871606 | + | 3.25288i | ||||
\(396\) | 2.28221 | + | 2.28221i | 0.114685 | + | 0.114685i | ||||
\(397\) | 20.7747 | − | 5.56656i | 1.04265 | − | 0.279378i | 0.303440 | − | 0.952851i | \(-0.401865\pi\) |
0.739212 | + | 0.673473i | \(0.235198\pi\) | |||||||
\(398\) | 2.52732 | + | 2.52732i | 0.126683 | + | 0.126683i | ||||
\(399\) | −13.8568 | + | 3.54660i | −0.693708 | + | 0.177552i | ||||
\(400\) | −12.2970 | − | 7.09968i | −0.614850 | − | 0.354984i | ||||
\(401\) | 15.3971 | − | 15.3971i | 0.768896 | − | 0.768896i | −0.209016 | − | 0.977912i | \(-0.567026\pi\) |
0.977912 | + | 0.209016i | \(0.0670261\pi\) | |||||||
\(402\) | −2.65574 | + | 4.59988i | −0.132456 | + | 0.229421i | ||||
\(403\) | 11.2364 | − | 28.6746i | 0.559725 | − | 1.42838i | ||||
\(404\) | 7.20699 | − | 4.16096i | 0.358561 | − | 0.207015i | ||||
\(405\) | 1.13407 | + | 4.23240i | 0.0563524 | + | 0.210310i | ||||
\(406\) | 2.48094 | − | 8.85974i | 0.123127 | − | 0.439701i | ||||
\(407\) | 0.502955 | − | 0.290381i | 0.0249305 | − | 0.0143936i | ||||
\(408\) | 1.64129 | − | 6.12537i | 0.0812558 | − | 0.303251i | ||||
\(409\) | −22.8606 | + | 22.8606i | −1.13038 | + | 1.13038i | −0.140269 | + | 0.990113i | \(0.544797\pi\) |
−0.990113 | + | 0.140269i | \(0.955203\pi\) | |||||||
\(410\) | 0.0356601 | − | 0.0356601i | 0.00176113 | − | 0.00176113i | ||||
\(411\) | 0.234204 | − | 0.874063i | 0.0115525 | − | 0.0431143i | ||||
\(412\) | −2.06463 | + | 1.19202i | −0.101717 | + | 0.0587264i | ||||
\(413\) | 16.5141 | − | 4.22673i | 0.812607 | − | 0.207984i | ||||
\(414\) | −0.513888 | − | 1.91786i | −0.0252562 | − | 0.0942575i | ||||
\(415\) | 6.31614 | − | 3.64662i | 0.310047 | − | 0.179006i | ||||
\(416\) | −0.539271 | − | 3.56499i | −0.0264399 | − | 0.174788i | ||||
\(417\) | 10.2718 | − | 17.7912i | 0.503010 | − | 0.871239i | ||||
\(418\) | 12.3381 | − | 12.3381i | 0.603477 | − | 0.603477i | ||||
\(419\) | −4.47379 | − | 2.58295i | −0.218559 | − | 0.126185i | 0.386724 | − | 0.922196i | \(-0.373607\pi\) |
−0.605283 | + | 0.796010i | \(0.706940\pi\) | |||||||
\(420\) | 11.1635 | + | 3.12605i | 0.544722 | + | 0.152536i | ||||
\(421\) | 10.2156 | + | 10.2156i | 0.497877 | + | 0.497877i | 0.910777 | − | 0.412899i | \(-0.135484\pi\) |
−0.412899 | + | 0.910777i | \(0.635484\pi\) | |||||||
\(422\) | 14.9122 | − | 3.99570i | 0.725912 | − | 0.194508i | ||||
\(423\) | −2.71681 | − | 2.71681i | −0.132096 | − | 0.132096i | ||||
\(424\) | 3.20875 | + | 11.9752i | 0.155831 | + | 0.581568i | ||||
\(425\) | −77.9808 | − | 45.0223i | −3.78263 | − | 2.18390i | ||||
\(426\) | 3.11062 | − | 5.38775i | 0.150710 | − | 0.261037i | ||||
\(427\) | 13.1669 | − | 7.40600i | 0.637192 | − | 0.358401i | ||||
\(428\) | − | 4.26472i | − | 0.206143i | ||||||
\(429\) | 10.8349 | + | 4.24574i | 0.523113 | + | 0.204986i | ||||
\(430\) | −11.8069 | − | 6.81672i | −0.569380 | − | 0.328732i | ||||
\(431\) | −1.11609 | + | 4.16529i | −0.0537600 | + | 0.200635i | −0.987582 | − | 0.157102i | \(-0.949785\pi\) |
0.933822 | + | 0.357737i | \(0.116452\pi\) | |||||||
\(432\) | − | 1.00000i | − | 0.0481125i | ||||||
\(433\) | 19.0775 | + | 33.0433i | 0.916808 | + | 1.58796i | 0.804233 | + | 0.594314i | \(0.202576\pi\) |
0.112575 | + | 0.993643i | \(0.464090\pi\) | |||||||
\(434\) | −11.0791 | − | 19.6972i | −0.531813 | − | 0.945495i | ||||
\(435\) | −3.94370 | + | 14.7181i | −0.189086 | + | 0.705679i | ||||
\(436\) | −4.84556 | − | 18.0839i | −0.232060 | − | 0.866061i | ||||
\(437\) | −10.3683 | + | 2.77818i | −0.495984 | + | 0.132899i | ||||
\(438\) | 3.59728 | 0.171885 | ||||||||
\(439\) | 19.7623 | 0.943205 | 0.471602 | − | 0.881811i | \(-0.343676\pi\) | ||||
0.471602 | + | 0.881811i | \(0.343676\pi\) | |||||||
\(440\) | −13.6602 | + | 3.66025i | −0.651226 | + | 0.174496i | ||||
\(441\) | −6.99823 | − | 0.157236i | −0.333249 | − | 0.00748741i | ||||
\(442\) | −3.41976 | − | 22.6072i | −0.162661 | − | 1.07532i | ||||
\(443\) | −13.7162 | − | 23.7572i | −0.651677 | − | 1.12874i | −0.982716 | − | 0.185120i | \(-0.940733\pi\) |
0.331039 | − | 0.943617i | \(-0.392601\pi\) | |||||||
\(444\) | −0.173808 | − | 0.0465718i | −0.00824858 | − | 0.00221020i | ||||
\(445\) | −39.0570 | − | 67.6487i | −1.85148 | − | 3.20686i | ||||
\(446\) | −11.1701 | + | 19.3472i | −0.528921 | + | 0.916118i | ||||
\(447\) | −5.11347 | + | 5.11347i | −0.241859 | + | 0.241859i | ||||
\(448\) | −2.27629 | − | 1.34853i | −0.107544 | − | 0.0637119i | ||||
\(449\) | −21.2137 | − | 5.68419i | −1.00114 | − | 0.268253i | −0.279214 | − | 0.960229i | \(-0.590074\pi\) |
−0.721921 | + | 0.691975i | \(0.756741\pi\) | |||||||
\(450\) | −13.7155 | − | 3.67507i | −0.646556 | − | 0.173244i | ||||
\(451\) | − | 0.0371472i | − | 0.00174919i | ||||||
\(452\) | −6.72341 | + | 3.88176i | −0.316243 | + | 0.182583i | ||||
\(453\) | −2.39568 | − | 2.39568i | −0.112559 | − | 0.112559i | ||||
\(454\) | 23.1158 | 1.08488 | ||||||||
\(455\) | 41.3963 | − | 5.78712i | 1.94069 | − | 0.271305i | ||||
\(456\) | −5.40620 | −0.253169 | ||||||||
\(457\) | −6.28612 | − | 6.28612i | −0.294052 | − | 0.294052i | 0.544626 | − | 0.838679i | \(-0.316671\pi\) |
−0.838679 | + | 0.544626i | \(0.816671\pi\) | |||||||
\(458\) | −12.3553 | + | 7.13335i | −0.577327 | + | 0.333320i | ||||
\(459\) | − | 6.34145i | − | 0.295993i | ||||||
\(460\) | 8.40349 | + | 2.25171i | 0.391815 | + | 0.104986i | ||||
\(461\) | −12.8354 | − | 3.43922i | −0.597802 | − | 0.160181i | −0.0527857 | − | 0.998606i | \(-0.516810\pi\) |
−0.545017 | + | 0.838425i | \(0.683477\pi\) | |||||||
\(462\) | 7.44270 | − | 4.18630i | 0.346266 | − | 0.194764i | ||||
\(463\) | 16.8995 | − | 16.8995i | 0.785385 | − | 0.785385i | −0.195349 | − | 0.980734i | \(-0.562584\pi\) |
0.980734 | + | 0.195349i | \(0.0625838\pi\) | |||||||
\(464\) | 1.73874 | − | 3.01158i | 0.0807189 | − | 0.139809i | ||||
\(465\) | 18.7136 | + | 32.4129i | 0.867824 | + | 1.50311i | ||||
\(466\) | 1.96939 | + | 0.527696i | 0.0912301 | + | 0.0244450i | ||||
\(467\) | −5.72210 | − | 9.91096i | −0.264787 | − | 0.458625i | 0.702721 | − | 0.711466i | \(-0.251968\pi\) |
−0.967508 | + | 0.252841i | \(0.918635\pi\) | |||||||
\(468\) | −1.44358 | − | 3.30395i | −0.0667297 | − | 0.152725i | ||||
\(469\) | 9.82463 | + | 10.0479i | 0.453659 | + | 0.463967i | ||||
\(470\) | 16.2616 | − | 4.35727i | 0.750089 | − | 0.200986i | ||||
\(471\) | 1.82796 | 0.0842280 | ||||||||
\(472\) | 6.44295 | 0.296561 | ||||||||
\(473\) | −9.70012 | + | 2.59914i | −0.446012 | + | 0.119509i | ||||
\(474\) | −3.95344 | − | 14.7544i | −0.181588 | − | 0.677694i | ||||
\(475\) | −19.8682 | + | 74.1490i | −0.911614 | + | 3.40219i | ||||
\(476\) | −14.4349 | − | 8.55162i | −0.661624 | − | 0.391963i | ||||
\(477\) | 6.19883 | + | 10.7367i | 0.283825 | + | 0.491599i | ||||
\(478\) | − | 10.2788i | − | 0.470143i | ||||||
\(479\) | −8.55605 | + | 31.9316i | −0.390936 | + | 1.45899i | 0.437658 | + | 0.899142i | \(0.355808\pi\) |
−0.828594 | + | 0.559850i | \(0.810859\pi\) | |||||||
\(480\) | 3.79467 | + | 2.19085i | 0.173202 | + | 0.0999983i | ||||
\(481\) | −0.641484 | + | 0.0970362i | −0.0292492 | + | 0.00442447i | ||||
\(482\) | − | 10.9802i | − | 0.500136i | ||||||
\(483\) | −5.25284 | − | 0.0590026i | −0.239012 | − | 0.00268471i | ||||
\(484\) | 0.291507 | − | 0.504905i | 0.0132503 | − | 0.0229502i | ||||
\(485\) | −8.84110 | − | 5.10441i | −0.401454 | − | 0.231779i | ||||
\(486\) | −0.258819 | − | 0.965926i | −0.0117403 | − | 0.0438153i | ||||
\(487\) | 26.5915 | + | 26.5915i | 1.20498 | + | 1.20498i | 0.972634 | + | 0.232343i | \(0.0746391\pi\) |
0.232343 | + | 0.972634i | \(0.425361\pi\) | |||||||
\(488\) | 5.51529 | − | 1.47782i | 0.249665 | − | 0.0668976i | ||||
\(489\) | −8.10494 | − | 8.10494i | −0.366518 | − | 0.366518i | ||||
\(490\) | 15.9288 | − | 26.2115i | 0.719588 | − | 1.18412i | ||||
\(491\) | −14.7584 | − | 8.52076i | −0.666036 | − | 0.384536i | 0.128537 | − | 0.991705i | \(-0.458972\pi\) |
−0.794573 | + | 0.607168i | \(0.792305\pi\) | |||||||
\(492\) | −0.00813841 | + | 0.00813841i | −0.000366908 | + | 0.000366908i | ||||
\(493\) | 11.0261 | − | 19.0978i | 0.496592 | − | 0.860122i | ||||
\(494\) | −17.8618 | + | 7.80431i | −0.803641 | + | 0.351133i | ||||
\(495\) | −12.2474 | + | 7.07106i | −0.550481 | + | 0.317820i | ||||
\(496\) | −2.21076 | − | 8.25065i | −0.0992658 | − | 0.370465i | ||||
\(497\) | −11.5074 | − | 11.7689i | −0.516177 | − | 0.527905i | ||||
\(498\) | −1.44148 | + | 0.832238i | −0.0645942 | + | 0.0372935i | ||||
\(499\) | 0.171927 | − | 0.641641i | 0.00769651 | − | 0.0287238i | −0.961971 | − | 0.273152i | \(-0.911934\pi\) |
0.969667 | + | 0.244429i | \(0.0786004\pi\) | |||||||
\(500\) | 28.5027 | − | 28.5027i | 1.27468 | − | 1.27468i | ||||
\(501\) | −7.13798 | + | 7.13798i | −0.318901 | + | 0.318901i | ||||
\(502\) | 3.38521 | − | 12.6338i | 0.151089 | − | 0.563873i | ||||
\(503\) | −28.3846 | + | 16.3878i | −1.26561 | + | 0.730698i | −0.974153 | − | 0.225888i | \(-0.927472\pi\) |
−0.291452 | + | 0.956585i | \(0.594138\pi\) | |||||||
\(504\) | −2.54775 | − | 0.713432i | −0.113486 | − | 0.0317788i | ||||
\(505\) | 9.43763 | + | 35.2217i | 0.419969 | + | 1.56735i | ||||
\(506\) | 5.54976 | − | 3.20415i | 0.246717 | − | 0.142442i | ||||
\(507\) | −9.53905 | − | 8.83213i | −0.423644 | − | 0.392249i | ||||
\(508\) | 0.350830 | − | 0.607656i | 0.0155656 | − | 0.0269604i | ||||
\(509\) | 21.7594 | − | 21.7594i | 0.964469 | − | 0.964469i | −0.0349214 | − | 0.999390i | \(-0.511118\pi\) |
0.999390 | + | 0.0349214i | \(0.0111181\pi\) | |||||||
\(510\) | 24.0637 | + | 13.8932i | 1.06556 | + | 0.615201i | ||||
\(511\) | 2.56641 | − | 9.16496i | 0.113532 | − | 0.405434i | ||||
\(512\) | −0.707107 | − | 0.707107i | −0.0312500 | − | 0.0312500i | ||||
\(513\) | −5.22199 | + | 1.39923i | −0.230557 | + | 0.0617775i | ||||
\(514\) | −0.0456880 | − | 0.0456880i | −0.00201521 | − | 0.00201521i | ||||
\(515\) | −2.70366 | − | 10.0902i | −0.119137 | − | 0.444627i | ||||
\(516\) | 2.69459 | + | 1.55572i | 0.118623 | + | 0.0684869i | ||||
\(517\) | 6.20034 | − | 10.7393i | 0.272691 | − | 0.472314i | ||||
\(518\) | −0.242654 | + | 0.409594i | −0.0106616 | + | 0.0179965i | ||||
\(519\) | − | 10.9280i | − | 0.479687i | ||||||
\(520\) | 15.7001 | + | 1.76054i | 0.688494 | + | 0.0772048i | ||||
\(521\) | −25.3802 | − | 14.6533i | −1.11193 | − | 0.641972i | −0.172600 | − | 0.984992i | \(-0.555217\pi\) |
−0.939328 | + | 0.343020i | \(0.888550\pi\) | |||||||
\(522\) | 0.900038 | − | 3.35899i | 0.0393936 | − | 0.147019i | ||||
\(523\) | − | 35.2285i | − | 1.54043i | −0.637782 | − | 0.770217i | \(-0.720148\pi\) | ||
0.637782 | − | 0.770217i | \(-0.279852\pi\) | |||||||
\(524\) | 3.56644 | + | 6.17726i | 0.155801 | + | 0.269855i | ||||
\(525\) | −19.1482 | + | 32.3218i | −0.835697 | + | 1.41064i | ||||
\(526\) | 1.03501 | − | 3.86273i | 0.0451288 | − | 0.168423i | ||||
\(527\) | −14.0194 | − | 52.3211i | −0.610694 | − | 2.27914i | ||||
\(528\) | 3.11756 | − | 0.835348i | 0.135674 | − | 0.0363538i | ||||
\(529\) | 19.0577 | 0.828598 | ||||||||
\(530\) | −54.3230 | −2.35964 | ||||||||
\(531\) | 6.22342 | − | 1.66756i | 0.270073 | − | 0.0723659i | ||||
\(532\) | −3.85696 | + | 13.7736i | −0.167220 | + | 0.597163i | ||||
\(533\) | −0.0151404 | + | 0.0386373i | −0.000655803 | + | 0.00167357i | ||||
\(534\) | 8.91365 | + | 15.4389i | 0.385731 | + | 0.668106i | ||||
\(535\) | 18.0500 | + | 4.83648i | 0.780370 | + | 0.209099i | ||||
\(536\) | 2.65574 | + | 4.59988i | 0.114710 | + | 0.198684i | ||||
\(537\) | 5.01990 | − | 8.69473i | 0.216625 | − | 0.375205i | ||||
\(538\) | −3.03824 | + | 3.03824i | −0.130988 | + | 0.130988i | ||||
\(539\) | −5.35577 | − | 21.9488i | −0.230689 | − | 0.945400i | ||||
\(540\) | 4.23240 | + | 1.13407i | 0.182134 | + | 0.0488026i | ||||
\(541\) | −3.56804 | − | 0.956053i | −0.153402 | − | 0.0411039i | 0.181301 | − | 0.983428i | \(-0.441969\pi\) |
−0.334703 | + | 0.942324i | \(0.608636\pi\) | |||||||
\(542\) | 7.62377i | 0.327469i | ||||||||
\(543\) | −0.243245 | + | 0.140438i | −0.0104386 | + | 0.00602676i | ||||
\(544\) | −4.48408 | − | 4.48408i | −0.192253 | − | 0.192253i | ||||
\(545\) | 82.0335 | 3.51393 | ||||||||
\(546\) | −9.44752 | + | 1.32075i | −0.404317 | + | 0.0565227i | ||||
\(547\) | −21.9784 | −0.939729 | −0.469864 | − | 0.882739i | \(-0.655697\pi\) | ||||
−0.469864 | + | 0.882739i | \(0.655697\pi\) | |||||||
\(548\) | −0.639858 | − | 0.639858i | −0.0273334 | − | 0.0273334i | ||||
\(549\) | 4.94487 | − | 2.85492i | 0.211042 | − | 0.121845i | ||||
\(550\) | − | 45.8289i | − | 1.95415i | ||||||
\(551\) | −18.1594 | − | 4.86579i | −0.773615 | − | 0.207290i | ||||
\(552\) | −1.91786 | − | 0.513888i | −0.0816294 | − | 0.0218725i | ||||
\(553\) | −40.4111 | − | 0.453919i | −1.71845 | − | 0.0193026i | ||||
\(554\) | 0.904278 | − | 0.904278i | 0.0384191 | − | 0.0384191i | ||||
\(555\) | 0.394222 | − | 0.682812i | 0.0167338 | − | 0.0289838i | ||||
\(556\) | −10.2718 | − | 17.7912i | −0.435619 | − | 0.754515i | ||||
\(557\) | 7.93096 | + | 2.12509i | 0.336046 | + | 0.0900431i | 0.422896 | − | 0.906178i | \(-0.361014\pi\) |
−0.0868504 | + | 0.996221i | \(0.527680\pi\) | |||||||
\(558\) | −4.27085 | − | 7.39733i | −0.180800 | − | 0.313154i | ||||
\(559\) | 11.1486 | + | 1.25016i | 0.471536 | + | 0.0528760i | ||||
\(560\) | 8.28898 | − | 8.10484i | 0.350273 | − | 0.342492i | ||||
\(561\) | 19.7698 | − | 5.29731i | 0.834683 | − | 0.223653i | ||||
\(562\) | −10.1452 | −0.427951 | ||||||||
\(563\) | 9.64925 | 0.406667 | 0.203334 | − | 0.979110i | \(-0.434822\pi\) | ||||
0.203334 | + | 0.979110i | \(0.434822\pi\) | |||||||
\(564\) | −3.71124 | + | 0.994423i | −0.156271 | + | 0.0418727i | ||||
\(565\) | −8.80438 | − | 32.8584i | −0.370403 | − | 1.38236i | ||||
\(566\) | −1.12281 | + | 4.19037i | −0.0471950 | + | 0.176134i | ||||
\(567\) | −2.64558 | − | 0.0297166i | −0.111104 | − | 0.00124798i | ||||
\(568\) | −3.11062 | − | 5.38775i | −0.130519 | − | 0.226065i | ||||
\(569\) | 24.3106i | 1.01915i | 0.860425 | + | 0.509577i | \(0.170198\pi\) | ||||
−0.860425 | + | 0.509577i | \(0.829802\pi\) | |||||||
\(570\) | 6.13101 | − | 22.8812i | 0.256800 | − | 0.958390i | ||||
\(571\) | −17.5708 | − | 10.1445i | −0.735315 | − | 0.424534i | 0.0850485 | − | 0.996377i | \(-0.472895\pi\) |
−0.820363 | + | 0.571843i | \(0.806229\pi\) | |||||||
\(572\) | 9.09436 | − | 7.26040i | 0.380254 | − | 0.303573i | ||||
\(573\) | − | 3.98098i | − | 0.166308i | ||||||
\(574\) | 0.0149284 | + | 0.0265408i | 0.000623100 | + | 0.00110779i | ||||
\(575\) | −14.0965 | + | 24.4158i | −0.587864 | + | 1.01821i | ||||
\(576\) | −0.866025 | − | 0.500000i | −0.0360844 | − | 0.0208333i | ||||
\(577\) | −8.41915 | − | 31.4207i | −0.350494 | − | 1.30806i | −0.886061 | − | 0.463568i | \(-0.846569\pi\) |
0.535568 | − | 0.844492i | \(-0.320098\pi\) | |||||||
\(578\) | −16.4147 | − | 16.4147i | −0.682763 | − | 0.682763i | ||||
\(579\) | 23.6743 | − | 6.34351i | 0.983870 | − | 0.263627i | ||||
\(580\) | 10.7744 | + | 10.7744i | 0.447382 | + | 0.447382i | ||||
\(581\) | 1.09194 | + | 4.26627i | 0.0453011 | + | 0.176995i | ||||
\(582\) | 2.01773 | + | 1.16494i | 0.0836375 | + | 0.0482882i | ||||
\(583\) | −28.2941 | + | 28.2941i | −1.17182 | + | 1.17182i | ||||
\(584\) | 1.79864 | − | 3.11534i | 0.0744283 | − | 0.128914i | ||||
\(585\) | 15.6208 | − | 2.36293i | 0.645839 | − | 0.0976950i | ||||
\(586\) | 15.7444 | − | 9.09005i | 0.650396 | − | 0.375506i | ||||
\(587\) | −9.53490 | − | 35.5847i | −0.393548 | − | 1.46874i | −0.824240 | − | 0.566241i | \(-0.808397\pi\) |
0.430692 | − | 0.902499i | \(-0.358269\pi\) | |||||||
\(588\) | −3.63529 | + | 5.98203i | −0.149917 | + | 0.246695i | ||||
\(589\) | −39.9915 | + | 23.0891i | −1.64782 | + | 0.951370i | ||||
\(590\) | −7.30676 | + | 27.2692i | −0.300814 | + | 1.12265i | ||||
\(591\) | −2.67201 | + | 2.67201i | −0.109912 | + | 0.109912i | ||||
\(592\) | −0.127237 | + | 0.127237i | −0.00522939 | + | 0.00522939i | ||||
\(593\) | −8.70551 | + | 32.4894i | −0.357493 | + | 1.33418i | 0.519826 | + | 0.854272i | \(0.325997\pi\) |
−0.877319 | + | 0.479908i | \(0.840670\pi\) | |||||||
\(594\) | 2.79513 | − | 1.61377i | 0.114685 | − | 0.0662137i | ||||
\(595\) | 52.5641 | − | 51.3964i | 2.15492 | − | 2.10705i | ||||
\(596\) | 1.87166 | + | 6.98514i | 0.0766662 | + | 0.286122i | ||||
\(597\) | 3.09532 | − | 1.78708i | 0.126683 | − | 0.0731405i | ||||
\(598\) | −7.07834 | + | 1.07073i | −0.289455 | + | 0.0437853i | ||||
\(599\) | −4.56535 | + | 7.90742i | −0.186535 | + | 0.323088i | −0.944093 | − | 0.329680i | \(-0.893059\pi\) |
0.757558 | + | 0.652768i | \(0.226393\pi\) | |||||||
\(600\) | −10.0405 | + | 10.0405i | −0.409900 | + | 0.409900i | ||||
\(601\) | −39.0133 | − | 22.5243i | −1.59139 | − | 0.918787i | −0.993070 | − | 0.117527i | \(-0.962503\pi\) |
−0.598316 | − | 0.801260i | \(-0.704163\pi\) | |||||||
\(602\) | 5.88599 | − | 5.75523i | 0.239895 | − | 0.234566i | ||||
\(603\) | 3.75578 | + | 3.75578i | 0.152947 | + | 0.152947i | ||||
\(604\) | −3.27255 | + | 0.876878i | −0.133158 | + | 0.0356797i | ||||
\(605\) | 1.80637 | + | 1.80637i | 0.0734396 | + | 0.0734396i | ||||
\(606\) | −2.15387 | − | 8.03835i | −0.0874950 | − | 0.326536i | ||||
\(607\) | 16.8519 | + | 9.72944i | 0.683997 | + | 0.394906i | 0.801359 | − | 0.598183i | \(-0.204111\pi\) |
−0.117362 | + | 0.993089i | \(0.537444\pi\) | |||||||
\(608\) | −2.70310 | + | 4.68191i | −0.109625 | + | 0.189877i | ||||
\(609\) | −7.91573 | − | 4.68948i | −0.320762 | − | 0.190027i | ||||
\(610\) | 25.0189i | 1.01298i | ||||||||
\(611\) | −10.8262 | + | 8.64300i | −0.437981 | + | 0.349658i | ||||
\(612\) | −5.49185 | − | 3.17072i | −0.221995 | − | 0.128169i | ||||
\(613\) | −3.76048 | + | 14.0343i | −0.151884 | + | 0.566840i | 0.847468 | + | 0.530847i | \(0.178126\pi\) |
−0.999352 | + | 0.0359930i | \(0.988541\pi\) | |||||||
\(614\) | 10.9270i | 0.440976i | ||||||||
\(615\) | −0.0252155 | − | 0.0436746i | −0.00101679 | − | 0.00176113i | ||||
\(616\) | 0.0959114 | − | 8.53872i | 0.00386438 | − | 0.344035i | ||||
\(617\) | 4.14330 | − | 15.4630i | 0.166803 | − | 0.622518i | −0.831000 | − | 0.556272i | \(-0.812231\pi\) |
0.997803 | − | 0.0662456i | \(-0.0211021\pi\) | |||||||
\(618\) | 0.617033 | + | 2.30280i | 0.0248207 | + | 0.0926321i | ||||
\(619\) | 41.5376 | − | 11.1300i | 1.66954 | − | 0.447351i | 0.704552 | − | 0.709652i | \(-0.251148\pi\) |
0.964986 | + | 0.262301i | \(0.0844812\pi\) | |||||||
\(620\) | 37.4272 | 1.50311 | ||||||||
\(621\) | −1.98551 | −0.0796758 | ||||||||
\(622\) | 11.1453 | − | 2.98638i | 0.446887 | − | 0.119743i | ||||
\(623\) | 45.6937 | − | 11.6951i | 1.83068 | − | 0.468555i | ||||
\(624\) | −3.58309 | − | 0.401793i | −0.143439 | − | 0.0160846i | ||||
\(625\) | 52.8126 | + | 91.4740i | 2.11250 | + | 3.65896i | ||||
\(626\) | 17.5026 | + | 4.68980i | 0.699544 | + | 0.187442i | ||||
\(627\) | −8.72436 | − | 15.1110i | −0.348417 | − | 0.603477i | ||||
\(628\) | 0.913980 | − | 1.58306i | 0.0364718 | − | 0.0631710i | ||||
\(629\) | −0.806864 | + | 0.806864i | −0.0321718 | + | 0.0321718i | ||||
\(630\) | 5.90885 | − | 9.97402i | 0.235414 | − | 0.397374i | ||||
\(631\) | −4.52314 | − | 1.21197i | −0.180063 | − | 0.0482478i | 0.167661 | − | 0.985845i | \(-0.446379\pi\) |
−0.347724 | + | 0.937597i | \(0.613045\pi\) | |||||||
\(632\) | −14.7544 | − | 3.95344i | −0.586900 | − | 0.157259i | ||||
\(633\) | − | 15.4382i | − | 0.613613i | ||||||
\(634\) | −21.4891 | + | 12.4067i | −0.853440 | + | 0.492734i | ||||
\(635\) | 2.17398 | + | 2.17398i | 0.0862717 | + | 0.0862717i | ||||
\(636\) | 12.3977 | 0.491599 | ||||||||
\(637\) | −3.37523 | + | 25.0122i | −0.133732 | + | 0.991018i | ||||
\(638\) | 11.2237 | 0.444350 | ||||||||
\(639\) | −4.39908 | − | 4.39908i | −0.174025 | − | 0.174025i | ||||
\(640\) | 3.79467 | − | 2.19085i | 0.149998 | − | 0.0866011i | ||||
\(641\) | − | 7.18039i | − | 0.283608i | −0.989895 | − | 0.141804i | \(-0.954710\pi\) | ||
0.989895 | − | 0.141804i | \(-0.0452903\pi\) | |||||||
\(642\) | −4.11940 | − | 1.10379i | −0.162580 | − | 0.0435631i | ||||
\(643\) | 29.2307 | + | 7.83235i | 1.15275 | + | 0.308878i | 0.784066 | − | 0.620678i | \(-0.213142\pi\) |
0.368682 | + | 0.929556i | \(0.379809\pi\) | |||||||
\(644\) | −2.67752 | + | 4.51959i | −0.105509 | + | 0.178097i | ||||
\(645\) | −9.64030 | + | 9.64030i | −0.379586 | + | 0.379586i | ||||
\(646\) | −17.1416 | + | 29.6901i | −0.674427 | + | 1.16814i | ||||
\(647\) | 9.25822 | + | 16.0357i | 0.363978 | + | 0.630428i | 0.988612 | − | 0.150490i | \(-0.0480850\pi\) |
−0.624634 | + | 0.780918i | \(0.714752\pi\) | |||||||
\(648\) | −0.965926 | − | 0.258819i | −0.0379452 | − | 0.0101674i | ||||
\(649\) | 10.3974 | + | 18.0089i | 0.408135 | + | 0.706910i | ||||
\(650\) | −18.6789 | + | 47.6674i | −0.732647 | + | 1.86967i | ||||
\(651\) | −21.8935 | + | 5.60356i | −0.858074 | + | 0.219621i | ||||
\(652\) | −11.0716 | + | 2.96661i | −0.433595 | + | 0.116182i | ||||
\(653\) | −9.36427 | −0.366452 | −0.183226 | − | 0.983071i | \(-0.558654\pi\) | ||||
−0.183226 | + | 0.983071i | \(0.558654\pi\) | |||||||
\(654\) | −18.7218 | −0.732081 | ||||||||
\(655\) | −30.1893 | + | 8.08919i | −1.17959 | + | 0.316071i | ||||
\(656\) | 0.00297886 | + | 0.0111173i | 0.000116305 | + | 0.000434057i | ||||
\(657\) | 0.931045 | − | 3.47471i | 0.0363235 | − | 0.135561i | ||||
\(658\) | −0.114176 | + | 10.1647i | −0.00445104 | + | 0.396263i | ||||
\(659\) | 16.2208 | + | 28.0953i | 0.631874 | + | 1.09444i | 0.987168 | + | 0.159683i | \(0.0510473\pi\) |
−0.355294 | + | 0.934754i | \(0.615619\pi\) | |||||||
\(660\) | 14.1421i | 0.550481i | ||||||||
\(661\) | 1.08268 | − | 4.04063i | 0.0421115 | − | 0.157162i | −0.941668 | − | 0.336542i | \(-0.890742\pi\) |
0.983780 | + | 0.179380i | \(0.0574092\pi\) | |||||||
\(662\) | 11.1669 | + | 6.44721i | 0.434014 | + | 0.250578i | ||||
\(663\) | −22.7220 | − | 2.54795i | −0.882449 | − | 0.0989542i | ||||
\(664\) | 1.66448i | 0.0645942i | ||||||||
\(665\) | −53.9216 | − | 31.9445i | −2.09099 | − | 1.23875i | ||||
\(666\) | −0.0899699 | + | 0.155832i | −0.00348626 | + | 0.00603838i | ||||
\(667\) | −5.97953 | − | 3.45229i | −0.231528 | − | 0.133673i | ||||
\(668\) | 2.61268 | + | 9.75066i | 0.101088 | + | 0.377264i | ||||
\(669\) | 15.7970 | + | 15.7970i | 0.610745 | + | 0.610745i | ||||
\(670\) | −22.4803 | + | 6.02359i | −0.868491 | + | 0.232711i | ||||
\(671\) | 13.0311 | + | 13.0311i | 0.503059 | + | 0.503059i | ||||
\(672\) | −1.89172 | + | 1.84970i | −0.0729748 | + | 0.0713536i | ||||
\(673\) | 24.5261 | + | 14.1601i | 0.945412 | + | 0.545834i | 0.891653 | − | 0.452720i | \(-0.149546\pi\) |
0.0537590 | + | 0.998554i | \(0.482880\pi\) | |||||||
\(674\) | −7.27887 | + | 7.27887i | −0.280372 | + | 0.280372i | ||||
\(675\) | −7.09968 | + | 12.2970i | −0.273267 | + | 0.473312i | ||||
\(676\) | −12.4184 | + | 3.84499i | −0.477630 | + | 0.147884i | ||||
\(677\) | 23.0893 | − | 13.3306i | 0.887395 | − | 0.512337i | 0.0143051 | − | 0.999898i | \(-0.495446\pi\) |
0.873089 | + | 0.487560i | \(0.162113\pi\) | |||||||
\(678\) | 2.00935 | + | 7.49899i | 0.0771686 | + | 0.287997i | ||||
\(679\) | 4.40747 | − | 4.30956i | 0.169143 | − | 0.165386i | ||||
\(680\) | 24.0637 | − | 13.8932i | 0.922801 | − | 0.532779i | ||||
\(681\) | 5.98281 | − | 22.3281i | 0.229262 | − | 0.855616i | ||||
\(682\) | 19.4940 | − | 19.4940i | 0.746463 | − | 0.746463i | ||||
\(683\) | 19.4046 | − | 19.4046i | 0.742496 | − | 0.742496i | −0.230562 | − | 0.973058i | \(-0.574056\pi\) |
0.973058 | + | 0.230562i | \(0.0740565\pi\) | |||||||
\(684\) | −1.39923 | + | 5.22199i | −0.0535008 | + | 0.199668i | ||||
\(685\) | 3.43378 | − | 1.98250i | 0.131198 | − | 0.0757473i | ||||
\(686\) | 12.6472 | + | 13.5296i | 0.482871 | + | 0.516561i | ||||
\(687\) | 3.69250 | + | 13.7806i | 0.140877 | + | 0.525762i | ||||
\(688\) | 2.69459 | − | 1.55572i | 0.102730 | − | 0.0593114i | ||||
\(689\) | 40.9612 | − | 17.8971i | 1.56050 | − | 0.681824i | ||||
\(690\) | 4.34996 | − | 7.53436i | 0.165600 | − | 0.286828i | ||||
\(691\) | 12.9729 | − | 12.9729i | 0.493511 | − | 0.493511i | −0.415900 | − | 0.909410i | \(-0.636533\pi\) |
0.909410 | + | 0.415900i | \(0.136533\pi\) | |||||||
\(692\) | −9.46394 | − | 5.46401i | −0.359765 | − | 0.207710i | ||||
\(693\) | −2.11734 | − | 8.27259i | −0.0804311 | − | 0.314250i | ||||
\(694\) | −19.2493 | − | 19.2493i | −0.730694 | − | 0.730694i | ||||
\(695\) | 86.9484 | − | 23.2978i | 3.29814 | − | 0.883734i | ||||
\(696\) | −2.45895 | − | 2.45895i | −0.0932062 | − | 0.0932062i | ||||
\(697\) | 0.0188903 | + | 0.0704996i | 0.000715522 | + | 0.00267036i | ||||
\(698\) | 18.3684 | + | 10.6050i | 0.695252 | + | 0.401404i | ||||
\(699\) | 1.01943 | − | 1.76570i | 0.0385584 | − | 0.0667851i | ||||
\(700\) | 18.4174 | + | 32.7438i | 0.696112 | + | 1.23760i | ||||
\(701\) | 41.7640i | 1.57740i | 0.614775 | + | 0.788702i | \(0.289247\pi\) | ||||
−0.614775 | + | 0.788702i | \(0.710753\pi\) | |||||||
\(702\) | −3.56499 | + | 0.539271i | −0.134552 | + | 0.0203535i | ||||
\(703\) | 0.842462 | + | 0.486396i | 0.0317740 | + | 0.0183448i | ||||
\(704\) | 0.835348 | − | 3.11756i | 0.0314833 | − | 0.117497i | ||||
\(705\) | − | 16.8352i | − | 0.634050i | ||||||
\(706\) | −1.78504 | − | 3.09178i | −0.0671808 | − | 0.116361i | ||||
\(707\) | −22.0163 | − | 0.247299i | −0.828009 | − | 0.00930064i | ||||
\(708\) | 1.66756 | − | 6.22342i | 0.0626707 | − | 0.233890i | ||||
\(709\) | 2.22709 | + | 8.31161i | 0.0836401 | + | 0.312149i | 0.995053 | − | 0.0993436i | \(-0.0316743\pi\) |
−0.911413 | + | 0.411493i | \(0.865008\pi\) | |||||||
\(710\) | 26.3308 | − | 7.05531i | 0.988176 | − | 0.264781i | ||||
\(711\) | −15.2749 | −0.572854 | ||||||||
\(712\) | 17.8273 | 0.668106 | ||||||||
\(713\) | −16.3818 | + | 4.38948i | −0.613502 | + | 0.164387i | ||||
\(714\) | −11.9963 | + | 11.7298i | −0.448949 | + | 0.438975i | ||||
\(715\) | 20.4153 | + | 46.7248i | 0.763490 | + | 1.74741i | ||||
\(716\) | −5.01990 | − | 8.69473i | −0.187603 | − | 0.324937i | ||||
\(717\) | −9.92859 | − | 2.66036i | −0.370790 | − | 0.0993529i | ||||
\(718\) | 9.08745 | + | 15.7399i | 0.339141 | + | 0.587409i | ||||
\(719\) | −8.55226 | + | 14.8130i | −0.318946 | + | 0.552430i | −0.980268 | − | 0.197672i | \(-0.936662\pi\) |
0.661323 | + | 0.750101i | \(0.269995\pi\) | |||||||
\(720\) | 3.09834 | − | 3.09834i | 0.115468 | − | 0.115468i | ||||
\(721\) | 6.30716 | + | 0.0708453i | 0.234891 | + | 0.00263842i | ||||
\(722\) | 9.87857 | + | 2.64696i | 0.367642 | + | 0.0985095i | ||||
\(723\) | −10.6061 | − | 2.84189i | −0.394444 | − | 0.105691i | ||||
\(724\) | 0.280875i | 0.0104386i | ||||||||
\(725\) | −42.7626 | + | 24.6890i | −1.58816 | + | 0.916926i | ||||
\(726\) | −0.412253 | − | 0.412253i | −0.0153002 | − | 0.0153002i | ||||
\(727\) | −45.6775 | −1.69409 | −0.847043 | − | 0.531525i | \(-0.821619\pi\) | ||||
−0.847043 | + | 0.531525i | \(0.821619\pi\) | |||||||
\(728\) | −3.57996 | + | 8.84217i | −0.132682 | + | 0.327712i | ||||
\(729\) | −1.00000 | −0.0370370 | ||||||||
\(730\) | 11.1456 | + | 11.1456i | 0.412517 | + | 0.412517i | ||||
\(731\) | 17.0876 | − | 9.86553i | 0.632008 | − | 0.364890i | ||||
\(732\) | − | 5.70985i | − | 0.211042i | ||||||
\(733\) | 33.2325 | + | 8.90463i | 1.22747 | + | 0.328900i | 0.813594 | − | 0.581433i | \(-0.197508\pi\) |
0.413877 | + | 0.910333i | \(0.364174\pi\) | |||||||
\(734\) | −0.342684 | − | 0.0918218i | −0.0126487 | − | 0.00338920i | ||||
\(735\) | −21.1957 | − | 22.1700i | −0.781815 | − | 0.817754i | ||||
\(736\) | −1.40397 | + | 1.40397i | −0.0517510 | + | 0.0517510i | ||||
\(737\) | −8.57149 | + | 14.8463i | −0.315735 | + | 0.546869i | ||||
\(738\) | 0.00575472 | + | 0.00996747i | 0.000211834 | + | 0.000366908i | ||||
\(739\) | −2.12943 | − | 0.570579i | −0.0783323 | − | 0.0209891i | 0.219440 | − | 0.975626i | \(-0.429577\pi\) |
−0.297772 | + | 0.954637i | \(0.596244\pi\) | |||||||
\(740\) | −0.394222 | − | 0.682812i | −0.0144919 | − | 0.0251007i | ||||
\(741\) | 2.91541 | + | 19.2731i | 0.107100 | + | 0.708015i | ||||
\(742\) | 8.84489 | − | 31.5861i | 0.324706 | − | 1.15956i | ||||
\(743\) | −22.1382 | + | 5.93191i | −0.812172 | + | 0.217621i | −0.640921 | − | 0.767607i | \(-0.721447\pi\) |
−0.171251 | + | 0.985227i | \(0.554781\pi\) | |||||||
\(744\) | −8.54170 | −0.313154 | ||||||||
\(745\) | −31.6865 | −1.16090 | ||||||||
\(746\) | 20.4784 | − | 5.48717i | 0.749767 | − | 0.200899i | ||||
\(747\) | 0.430798 | + | 1.60776i | 0.0157621 | + | 0.0588249i | ||||
\(748\) | 5.29731 | − | 19.7698i | 0.193689 | − | 0.722857i | ||||
\(749\) | −5.75109 | + | 9.70771i | −0.210140 | + | 0.354712i | ||||
\(750\) | −20.1545 | − | 34.9086i | −0.735937 | − | 1.27468i | ||||
\(751\) | − | 37.7097i | − | 1.37605i | −0.725689 | − | 0.688023i | \(-0.758479\pi\) | ||
0.725689 | − | 0.688023i | \(-0.241521\pi\) | |||||||
\(752\) | −0.994423 | + | 3.71124i | −0.0362629 | + | 0.135335i | ||||
\(753\) | −11.3271 | − | 6.53973i | −0.412784 | − | 0.238321i | ||||
\(754\) | −11.6739 | − | 4.57454i | −0.425140 | − | 0.166595i | ||||
\(755\) | − | 14.8452i | − | 0.540273i | ||||||
\(756\) | −1.34853 | + | 2.27629i | −0.0490455 | + | 0.0827877i | ||||
\(757\) | −14.6011 | + | 25.2898i | −0.530685 | + | 0.919173i | 0.468674 | + | 0.883371i | \(0.344732\pi\) |
−0.999359 | + | 0.0358019i | \(0.988601\pi\) | |||||||
\(758\) | −9.29131 | − | 5.36434i | −0.337476 | − | 0.194842i | ||||
\(759\) | −1.65859 | − | 6.18995i | −0.0602031 | − | 0.224681i | ||||
\(760\) | −16.7502 | − | 16.7502i | −0.607595 | − | 0.607595i | ||||
\(761\) | −29.1354 | + | 7.80681i | −1.05616 | + | 0.282997i | −0.744794 | − | 0.667294i | \(-0.767452\pi\) |
−0.311364 | + | 0.950291i | \(0.600786\pi\) | |||||||
\(762\) | −0.496149 | − | 0.496149i | −0.0179736 | − | 0.0179736i | ||||
\(763\) | −13.3567 | + | 47.6984i | −0.483546 | + | 1.72680i | ||||
\(764\) | −3.44763 | − | 1.99049i | −0.124731 | − | 0.0720133i | ||||
\(765\) | 19.6479 | − | 19.6479i | 0.710372 | − | 0.710372i | ||||
\(766\) | 7.33644 | − | 12.7071i | 0.265076 | − | 0.459126i | ||||
\(767\) | −3.47450 | − | 22.9691i | −0.125457 | − | 0.829366i | ||||
\(768\) | −0.866025 | + | 0.500000i | −0.0312500 | + | 0.0180422i | ||||
\(769\) | 5.78494 | + | 21.5897i | 0.208610 | + | 0.778544i | 0.988319 | + | 0.152401i | \(0.0487006\pi\) |
−0.779709 | + | 0.626143i | \(0.784633\pi\) | |||||||
\(770\) | 36.0305 | + | 10.0894i | 1.29845 | + | 0.363598i | ||||
\(771\) | −0.0559561 | + | 0.0323063i | −0.00201521 | + | 0.00116348i | ||||
\(772\) | 6.34351 | − | 23.6743i | 0.228308 | − | 0.852056i | ||||
\(773\) | −0.327420 | + | 0.327420i | −0.0117765 | + | 0.0117765i | −0.712971 | − | 0.701194i | \(-0.752651\pi\) |
0.701194 | + | 0.712971i | \(0.252651\pi\) | |||||||
\(774\) | 2.20012 | − | 2.20012i | 0.0790818 | − | 0.0790818i | ||||
\(775\) | −31.3913 | + | 117.154i | −1.12761 | + | 4.20830i | ||||
\(776\) | 2.01773 | − | 1.16494i | 0.0724322 | − | 0.0418188i | ||||
\(777\) | 0.332834 | + | 0.340396i | 0.0119404 | + | 0.0122116i | ||||
\(778\) | 2.06397 | + | 7.70285i | 0.0739970 | + | 0.276161i | ||||
\(779\) | 0.0538862 | − | 0.0311112i | 0.00193067 | − | 0.00111467i | ||||
\(780\) | 5.76403 | − | 14.7094i | 0.206385 | − | 0.526683i | ||||
\(781\) | 10.0396 | − | 17.3891i | 0.359246 | − | 0.622232i | ||||
\(782\) | −8.90319 | + | 8.90319i | −0.318377 | + | 0.318377i | ||||
\(783\) | −3.01158 | − | 1.73874i | −0.107625 | − | 0.0621375i | ||||
\(784\) | 3.36295 | + | 6.13927i | 0.120105 | + | 0.219260i | ||||
\(785\) | 5.66363 | + | 5.66363i | 0.202144 | + | 0.202144i | ||||
\(786\) | 6.88984 | − | 1.84613i | 0.245752 | − | 0.0658491i | ||||
\(787\) | −15.4333 | − | 15.4333i | −0.550139 | − | 0.550139i | 0.376342 | − | 0.926481i | \(-0.377182\pi\) |
−0.926481 | + | 0.376342i | \(0.877182\pi\) | |||||||
\(788\) | 0.978025 | + | 3.65004i | 0.0348407 | + | 0.130027i | ||||
\(789\) | −3.46323 | − | 1.99949i | −0.123294 | − | 0.0711839i | ||||
\(790\) | 33.4651 | − | 57.9633i | 1.19064 | − | 2.06224i | ||||
\(791\) | 20.5391 | + | 0.230706i | 0.730285 | + | 0.00820295i | ||||
\(792\) | − | 3.22754i | − | 0.114685i | ||||||
\(793\) | −8.24264 | − | 18.8650i | −0.292705 | − | 0.669917i | ||||
\(794\) | −18.6261 | − | 10.7538i | −0.661015 | − | 0.381637i | ||||
\(795\) | −14.0598 | + | 52.4719i | −0.498650 | + | 1.86099i | ||||
\(796\) | − | 3.57417i | − | 0.126683i | ||||||
\(797\) | 8.23632 | + | 14.2657i | 0.291745 | + | 0.505318i | 0.974223 | − | 0.225589i | \(-0.0724307\pi\) |
−0.682477 | + | 0.730907i | \(0.739097\pi\) | |||||||
\(798\) | 12.3061 | + | 7.29042i | 0.435630 | + | 0.258078i | ||||
\(799\) | −6.30608 | + | 23.5346i | −0.223093 | + | 0.832595i | ||||
\(800\) | 3.67507 | + | 13.7155i | 0.129933 | + | 0.484917i | ||||
\(801\) | 17.2198 | − | 4.61404i | 0.608433 | − | 0.163029i | ||||
\(802\) | −21.7748 | −0.768896 | ||||||||
\(803\) | 11.6104 | 0.409721 | ||||||||
\(804\) | 5.13050 | − | 1.37471i | 0.180939 | − | 0.0484824i | ||||
\(805\) | −16.0922 | − | 16.4579i | −0.567177 | − | 0.580063i | ||||
\(806\) | −28.2213 | + | 12.3307i | −0.994054 | + | 0.434329i | ||||
\(807\) | 2.14836 | + | 3.72107i | 0.0756259 | + | 0.130988i | ||||
\(808\) | −8.03835 | − | 2.15387i | −0.282788 | − | 0.0757729i | ||||
\(809\) | −8.54142 | − | 14.7942i | −0.300300 | − | 0.520135i | 0.675904 | − | 0.736990i | \(-0.263754\pi\) |
−0.976204 | + | 0.216855i | \(0.930420\pi\) | |||||||
\(810\) | 2.19085 | − | 3.79467i | 0.0769788 | − | 0.133331i | ||||
\(811\) | −18.8226 | + | 18.8226i | −0.660952 | + | 0.660952i | −0.955604 | − | 0.294653i | \(-0.904796\pi\) |
0.294653 | + | 0.955604i | \(0.404796\pi\) | |||||||
\(812\) | −8.01907 | + | 4.51049i | −0.281414 | + | 0.158287i | ||||
\(813\) | 7.36399 | + | 1.97318i | 0.258267 | + | 0.0692023i | ||||
\(814\) | −0.560973 | − | 0.150312i | −0.0196621 | − | 0.00526844i | ||||
\(815\) | − | 50.2236i | − | 1.75926i | ||||||
\(816\) | −5.49185 | + | 3.17072i | −0.192253 | + | 0.110998i | ||||
\(817\) | −11.8943 | − | 11.8943i | −0.416130 | − | 0.416130i | ||||
\(818\) | 32.3297 | 1.13038 | ||||||||
\(819\) | −1.16945 | + | 9.46744i | −0.0408641 | + | 0.330819i | ||||
\(820\) | −0.0504310 | −0.00176113 | ||||||||
\(821\) | −2.70052 | − | 2.70052i | −0.0942489 | − | 0.0942489i | 0.658410 | − | 0.752659i | \(-0.271229\pi\) |
−0.752659 | + | 0.658410i | \(0.771229\pi\) | |||||||
\(822\) | −0.783663 | + | 0.452448i | −0.0273334 | + | 0.0157809i | ||||
\(823\) | − | 18.2336i | − | 0.635582i | −0.948161 | − | 0.317791i | \(-0.897059\pi\) | ||
0.948161 | − | 0.317791i | \(-0.102941\pi\) | |||||||
\(824\) | 2.30280 | + | 0.617033i | 0.0802217 | + | 0.0214954i | ||||
\(825\) | −44.2674 | − | 11.8614i | −1.54119 | − | 0.412961i | ||||
\(826\) | −14.6660 | − | 8.68850i | −0.510295 | − | 0.302312i | ||||
\(827\) | 0.844609 | − | 0.844609i | 0.0293699 | − | 0.0293699i | −0.692269 | − | 0.721639i | \(-0.743389\pi\) |
0.721639 | + | 0.692269i | \(0.243389\pi\) | |||||||
\(828\) | −0.992755 | + | 1.71950i | −0.0345006 | + | 0.0597569i | ||||
\(829\) | 11.0192 | + | 19.0858i | 0.382713 | + | 0.662878i | 0.991449 | − | 0.130495i | \(-0.0416565\pi\) |
−0.608736 | + | 0.793373i | \(0.708323\pi\) | |||||||
\(830\) | −7.04473 | − | 1.88763i | −0.244526 | − | 0.0655206i | ||||
\(831\) | −0.639421 | − | 1.10751i | −0.0221813 | − | 0.0384191i | ||||
\(832\) | −2.13951 | + | 2.90215i | −0.0741742 | + | 0.100614i | ||||
\(833\) | 21.3260 | + | 38.9318i | 0.738900 | + | 1.34891i | ||||
\(834\) | −19.8435 | + | 5.31705i | −0.687124 | + | 0.184114i | ||||
\(835\) | −44.2317 | −1.53070 | ||||||||
\(836\) | −17.4487 | −0.603477 | ||||||||
\(837\) | −8.25065 | + | 2.21076i | −0.285184 | + | 0.0764149i | ||||
\(838\) | 1.33703 | + | 4.98987i | 0.0461870 | + | 0.172372i | ||||
\(839\) | 12.2092 | − | 45.5653i | 0.421508 | − | 1.57309i | −0.349925 | − | 0.936778i | \(-0.613793\pi\) |
0.771433 | − | 0.636311i | \(-0.219540\pi\) | |||||||
\(840\) | −5.68332 | − | 10.1042i | −0.196093 | − | 0.348629i | ||||
\(841\) | 8.45357 | + | 14.6420i | 0.291502 | + | 0.504897i | ||||
\(842\) | − | 14.4470i | − | 0.497877i | ||||||
\(843\) | −2.62578 | + | 9.79955i | −0.0904367 | + | 0.337514i | ||||
\(844\) | −13.3699 | − | 7.71910i | −0.460210 | − | 0.265702i | ||||
\(845\) | −2.19027 | − | 56.9201i | −0.0753476 | − | 1.95811i | ||||
\(846\) | 3.84215i | 0.132096i | ||||||||
\(847\) | −1.34443 | + | 0.756203i | −0.0461952 | + | 0.0259834i | ||||
\(848\) | 6.19883 | − | 10.7367i | 0.212869 | − | 0.368700i | ||||
\(849\) | 3.75698 | + | 2.16909i | 0.128939 | + | 0.0744431i | ||||
\(850\) | 23.3052 | + | 86.9763i | 0.799363 | + | 2.98326i | ||||
\(851\) | 0.252630 | + | 0.252630i | 0.00866003 | + | 0.00866003i | ||||
\(852\) | −6.00925 | + | 1.61017i | −0.205873 | + | 0.0551636i | ||||
\(853\) | 17.7773 | + | 17.7773i | 0.608682 | + | 0.608682i | 0.942602 | − | 0.333919i | \(-0.108371\pi\) |
−0.333919 | + | 0.942602i | \(0.608371\pi\) | |||||||
\(854\) | −14.5472 | − | 4.07359i | −0.497796 | − | 0.139395i | ||||
\(855\) | −20.5148 | − | 11.8442i | −0.701590 | − | 0.405063i | ||||
\(856\) | −3.01561 | + | 3.01561i | −0.103071 | + | 0.103071i | ||||
\(857\) | −6.86537 | + | 11.8912i | −0.234517 | + | 0.406195i | −0.959132 | − | 0.282959i | \(-0.908684\pi\) |
0.724616 | + | 0.689153i | \(0.242017\pi\) | |||||||
\(858\) | −4.65922 | − | 10.6636i | −0.159063 | − | 0.364050i | ||||
\(859\) | 27.2083 | − | 15.7087i | 0.928334 | − | 0.535974i | 0.0420501 | − | 0.999116i | \(-0.486611\pi\) |
0.886284 | + | 0.463141i | \(0.153278\pi\) | |||||||
\(860\) | 3.52860 | + | 13.1689i | 0.120324 | + | 0.449056i | ||||
\(861\) | 0.0295002 | − | 0.00755047i | 0.00100536 | − | 0.000257319i | ||||
\(862\) | 3.73450 | − | 2.15611i | 0.127198 | − | 0.0734375i | ||||
\(863\) | −14.9670 | + | 55.8578i | −0.509484 | + | 1.90142i | −0.0839709 | + | 0.996468i | \(0.526760\pi\) |
−0.425513 | + | 0.904952i | \(0.639906\pi\) | |||||||
\(864\) | −0.707107 | + | 0.707107i | −0.0240563 | + | 0.0240563i | ||||
\(865\) | 33.8587 | − | 33.8587i | 1.15123 | − | 1.15123i | ||||
\(866\) | 9.87526 | − | 36.8550i | 0.335575 | − | 1.25238i | ||||
\(867\) | −20.1039 | + | 11.6070i | −0.682763 | + | 0.394194i | ||||
\(868\) | −6.09392 | + | 21.7621i | −0.206841 | + | 0.738654i | ||||
\(869\) | −12.7599 | − | 47.6205i | −0.432849 | − | 1.61541i | ||||
\(870\) | 13.1959 | − | 7.61865i | 0.447382 | − | 0.258296i | ||||
\(871\) | 14.9664 | − | 11.9483i | 0.507116 | − | 0.404852i | ||||
\(872\) | −9.36090 | + | 16.2136i | −0.317000 | + | 0.549060i | ||||
\(873\) | 1.64747 | − | 1.64747i | 0.0557584 | − | 0.0557584i | ||||
\(874\) | 9.29598 | + | 5.36704i | 0.314441 | + | 0.181543i | ||||
\(875\) | −103.317 | + | 26.4436i | −3.49275 | + | 0.893957i | ||||
\(876\) | −2.54366 | − | 2.54366i | −0.0859424 | − | 0.0859424i | ||||
\(877\) | 34.9338 | − | 9.36047i | 1.17963 | − | 0.316081i | 0.384850 | − | 0.922979i | \(-0.374253\pi\) |
0.794779 | + | 0.606899i | \(0.207587\pi\) | |||||||
\(878\) | −13.9741 | − | 13.9741i | −0.471602 | − | 0.471602i | ||||
\(879\) | −4.70535 | − | 17.5606i | −0.158708 | − | 0.592305i | ||||
\(880\) | 12.2474 | + | 7.07106i | 0.412861 | + | 0.238365i | ||||
\(881\) | 8.96533 | − | 15.5284i | 0.302050 | − | 0.523165i | −0.674550 | − | 0.738229i | \(-0.735663\pi\) |
0.976600 | + | 0.215063i | \(0.0689958\pi\) | |||||||
\(882\) | 4.83732 | + | 5.05968i | 0.162881 | + | 0.170368i | ||||
\(883\) | 15.9776i | 0.537689i | 0.963184 | + | 0.268844i | \(0.0866417\pi\) | ||||
−0.963184 | + | 0.268844i | \(0.913358\pi\) | |||||||
\(884\) | −13.5676 | + | 18.4039i | −0.456327 | + | 0.618989i | ||||
\(885\) | 24.4489 | + | 14.1156i | 0.821840 | + | 0.474490i | ||||
\(886\) | −7.10003 | + | 26.4977i | −0.238530 | + | 0.890207i | ||||
\(887\) | − | 30.5008i | − | 1.02412i | −0.858951 | − | 0.512058i | \(-0.828883\pi\) | ||
0.858951 | − | 0.512058i | \(-0.171117\pi\) | |||||||
\(888\) | 0.0899699 | + | 0.155832i | 0.00301919 | + | 0.00522939i | ||||
\(889\) | −1.61803 | + | 0.910093i | −0.0542670 | + | 0.0305235i | ||||
\(890\) | −20.2174 | + | 75.4523i | −0.677689 | + | 2.52917i | ||||
\(891\) | −0.835348 | − | 3.11756i | −0.0279852 | − | 0.104442i | ||||
\(892\) | 21.5790 | − | 5.78209i | 0.722520 | − | 0.193599i | ||||
\(893\) | 20.7715 | 0.695091 | ||||||||
\(894\) | 7.23154 | 0.241859 | ||||||||
\(895\) | 42.4925 | − | 11.3858i | 1.42037 | − | 0.380587i | ||||
\(896\) | 0.656024 | + | 2.56313i | 0.0219162 | + | 0.0856281i | ||||
\(897\) | −0.797765 | + | 7.11427i | −0.0266366 | + | 0.237539i | ||||
\(898\) | 10.9810 | + | 19.0197i | 0.366441 | + | 0.634694i | ||||
\(899\) | −28.6915 | − | 7.68785i | −0.956914 | − | 0.256404i | ||||
\(900\) | 7.09968 | + | 12.2970i | 0.236656 | + | 0.409900i | ||||
\(901\) | 39.3096 | − | 68.0862i | 1.30959 | − | 2.26828i | ||||
\(902\) | −0.0262670 | + | 0.0262670i | −0.000874596 | + | 0.000874596i | ||||
\(903\) | −4.03572 | − | 7.17500i | −0.134300 | − | 0.238769i | ||||
\(904\) | 7.49899 | + | 2.00935i | 0.249413 | + | 0.0668300i | ||||
\(905\) | −1.18878 | − | 0.318532i | −0.0395163 | − | 0.0105884i | ||||
\(906\) | 3.38800i | 0.112559i | ||||||||
\(907\) | 6.96043 | − | 4.01860i | 0.231117 | − | 0.133436i | −0.379970 | − | 0.924999i | \(-0.624066\pi\) |
0.611087 | + | 0.791563i | \(0.290732\pi\) | |||||||
\(908\) | −16.3453 | − | 16.3453i | −0.542439 | − | 0.542439i | ||||
\(909\) | −8.32192 | −0.276021 | ||||||||
\(910\) | −33.3637 | − | 25.1795i | −1.10600 | − | 0.834691i | ||||
\(911\) | −35.0854 | −1.16243 | −0.581216 | − | 0.813750i | \(-0.697423\pi\) | ||||
−0.581216 | + | 0.813750i | \(0.697423\pi\) | |||||||
\(912\) | 3.82276 | + | 3.82276i | 0.126584 | + | 0.126584i | ||||
\(913\) | −4.65242 | + | 2.68608i | −0.153973 | + | 0.0888962i | ||||
\(914\) | 8.88992i | 0.294052i | ||||||||
\(915\) | 24.1664 | + | 6.47536i | 0.798916 | + | 0.214069i | ||||
\(916\) | 13.7806 | + | 3.69250i | 0.455323 | + | 0.122003i | ||||
\(917\) | 0.211965 | − | 18.8706i | 0.00699971 | − | 0.623164i | ||||
\(918\) | −4.48408 | + | 4.48408i | −0.147997 | + | 0.147997i | ||||
\(919\) | −1.66409 | + | 2.88228i | −0.0548932 | + | 0.0950777i | −0.892166 | − | 0.451707i | \(-0.850815\pi\) |
0.837273 | + | 0.546785i | \(0.184148\pi\) | |||||||
\(920\) | −4.34996 | − | 7.53436i | −0.143414 | − | 0.248400i | ||||
\(921\) | 10.5546 | + | 2.82810i | 0.347787 | + | 0.0931892i | ||||
\(922\) | 6.64407 | + | 11.5079i | 0.218811 | + | 0.378992i | ||||
\(923\) | −17.5298 | + | 13.9948i | −0.577001 | + | 0.460644i | ||||
\(924\) | −8.22294 | − | 2.30263i | −0.270515 | − | 0.0757508i | ||||
\(925\) | 2.46797 | − | 0.661290i | 0.0811463 | − | 0.0217431i | ||||
\(926\) | −23.8995 | −0.785385 | ||||||||
\(927\) | 2.38403 | 0.0783019 | ||||||||
\(928\) | −3.35899 | + | 0.900038i | −0.110264 | + | 0.0295452i | ||||
\(929\) | 7.21753 | + | 26.9362i | 0.236799 | + | 0.883747i | 0.977329 | + | 0.211724i | \(0.0679078\pi\) |
−0.740530 | + | 0.672023i | \(0.765426\pi\) | |||||||
\(930\) | 9.68688 | − | 36.1519i | 0.317645 | − | 1.18547i | ||||
\(931\) | 27.3537 | − | 26.1515i | 0.896480 | − | 0.857082i | ||||
\(932\) | −1.01943 | − | 1.76570i | −0.0333925 | − | 0.0578376i | ||||
\(933\) | − | 11.5385i | − | 0.377753i | ||||||
\(934\) | −2.96197 | + | 11.0542i | −0.0969188 | + | 0.361706i | ||||
\(935\) | 77.6665 | + | 44.8407i | 2.53996 | + | 1.46645i | ||||
\(936\) | −1.31548 | + | 3.35701i | −0.0429977 | + | 0.109727i | ||||
\(937\) | 18.5913i | 0.607351i | 0.952776 | + | 0.303676i | \(0.0982139\pi\) | ||||
−0.952776 | + | 0.303676i | \(0.901786\pi\) | |||||||
\(938\) | 0.157839 | − | 14.0520i | 0.00515363 | − | 0.458813i | ||||
\(939\) | 9.06000 | − | 15.6924i | 0.295662 | − | 0.512101i | ||||
\(940\) | −14.5797 | − | 8.41760i | −0.475538 | − | 0.274552i | ||||
\(941\) | −7.25100 | − | 27.0611i | −0.236376 | − | 0.882167i | −0.977524 | − | 0.210825i | \(-0.932385\pi\) |
0.741148 | − | 0.671342i | \(-0.234282\pi\) | |||||||
\(942\) | −1.29256 | − | 1.29256i | −0.0421140 | − | 0.0421140i | ||||
\(943\) | 0.0220735 | − | 0.00591457i | 0.000718811 | − | 0.000192605i | ||||
\(944\) | −4.55586 | − | 4.55586i | −0.148280 | − | 0.148280i | ||||
\(945\) | −8.10484 | − | 8.28898i | −0.263650 | − | 0.269641i | ||||
\(946\) | 8.69689 | + | 5.02115i | 0.282760 | + | 0.163252i | ||||
\(947\) | 21.4302 | − | 21.4302i | 0.696386 | − | 0.696386i | −0.267243 | − | 0.963629i | \(-0.586113\pi\) |
0.963629 | + | 0.267243i | \(0.0861126\pi\) | |||||||
\(948\) | −7.63746 | + | 13.2285i | −0.248053 | + | 0.429641i | ||||
\(949\) | −12.0761 | − | 4.73214i | −0.392007 | − | 0.153612i | ||||
\(950\) | 66.4801 | − | 38.3823i | 2.15690 | − | 1.24529i | ||||
\(951\) | 6.42219 | + | 23.9680i | 0.208254 | + | 0.777214i | ||||
\(952\) | 4.16014 | + | 16.2540i | 0.134831 | + | 0.526794i | ||||
\(953\) | −23.0230 | + | 13.2923i | −0.745789 | + | 0.430581i | −0.824170 | − | 0.566342i | \(-0.808358\pi\) |
0.0783816 | + | 0.996923i | \(0.475025\pi\) | |||||||
\(954\) | 3.20875 | − | 11.9752i | 0.103887 | − | 0.387712i | ||||
\(955\) | 12.3344 | − | 12.3344i | 0.399132 | − | 0.399132i | ||||
\(956\) | −7.26823 | + | 7.26823i | −0.235071 | + | 0.235071i | ||||
\(957\) | 2.90490 | − | 10.8412i | 0.0939022 | − | 0.350448i | ||||
\(958\) | 28.6291 | − | 16.5290i | 0.924964 | − | 0.534028i | ||||
\(959\) | 0.593633 | + | 2.31937i | 0.0191694 | + | 0.0748963i | ||||
\(960\) | −1.13407 | − | 4.23240i | −0.0366019 | − | 0.136600i | ||||
\(961\) | −36.3390 | + | 20.9803i | −1.17223 | + | 0.676785i | ||||
\(962\) | 0.522213 | + | 0.384983i | 0.0168368 | + | 0.0124123i | ||||
\(963\) | −2.13236 | + | 3.69335i | −0.0687143 | + | 0.119017i | ||||
\(964\) | −7.76419 | + | 7.76419i | −0.250068 | + | 0.250068i | ||||
\(965\) | 93.0052 | + | 53.6966i | 2.99394 | + | 1.72855i | ||||
\(966\) | 3.67260 | + | 3.75604i | 0.118164 | + | 0.120849i | ||||
\(967\) | 24.4165 | + | 24.4165i | 0.785182 | + | 0.785182i | 0.980700 | − | 0.195518i | \(-0.0626387\pi\) |
−0.195518 | + | 0.980700i | \(0.562639\pi\) | |||||||
\(968\) | −0.563149 | + | 0.150895i | −0.0181003 | + | 0.00484996i | ||||
\(969\) | 24.2419 | + | 24.2419i | 0.778761 | + | 0.778761i | ||||
\(970\) | 2.64224 | + | 9.86096i | 0.0848371 | + | 0.316616i | ||||
\(971\) | 24.4163 | + | 14.0967i | 0.783555 | + | 0.452386i | 0.837689 | − | 0.546148i | \(-0.183906\pi\) |
−0.0541334 | + | 0.998534i | \(0.517240\pi\) | |||||||
\(972\) | −0.500000 | + | 0.866025i | −0.0160375 | + | 0.0277778i | ||||
\(973\) | −0.610483 | + | 54.3496i | −0.0195712 | + | 1.74237i | ||||
\(974\) | − | 37.6061i | − | 1.20498i | ||||||
\(975\) | 41.2087 | + | 30.3797i | 1.31974 | + | 0.972928i | ||||
\(976\) | −4.94487 | − | 2.85492i | −0.158281 | − | 0.0913839i | ||||
\(977\) | −4.07217 | + | 15.1975i | −0.130280 | + | 0.486213i | −0.999973 | − | 0.00738133i | \(-0.997650\pi\) |
0.869692 | + | 0.493594i | \(0.164317\pi\) | |||||||
\(978\) | 11.4621i | 0.366518i | ||||||||
\(979\) | 28.7691 | + | 49.8296i | 0.919465 | + | 1.59256i | ||||
\(980\) | −29.7977 | + | 7.27100i | −0.951852 | + | 0.232264i | ||||
\(981\) | −4.84556 | + | 18.0839i | −0.154707 | + | 0.577374i | ||||
\(982\) | 4.41067 | + | 16.4608i | 0.140750 | + | 0.525286i | ||||
\(983\) | 46.2105 | − | 12.3821i | 1.47388 | − | 0.394926i | 0.569624 | − | 0.821906i | \(-0.307089\pi\) |
0.904261 | + | 0.426979i | \(0.140422\pi\) | |||||||
\(984\) | 0.0115094 | 0.000366908 | ||||||||
\(985\) | −16.5576 | −0.527569 | ||||||||
\(986\) | −21.3008 | + | 5.70754i | −0.678357 | + | 0.181765i | ||||
\(987\) | 9.78884 | + | 2.74111i | 0.311582 | + | 0.0872506i | ||||
\(988\) | 18.1487 | + | 7.11173i | 0.577387 | + | 0.226254i | ||||
\(989\) | −3.08890 | − | 5.35014i | −0.0982214 | − | 0.170125i | ||||
\(990\) | 13.6602 | + | 3.66025i | 0.434151 | + | 0.116330i | ||||
\(991\) | 4.43151 | + | 7.67560i | 0.140771 | + | 0.243823i | 0.927787 | − | 0.373109i | \(-0.121708\pi\) |
−0.787016 | + | 0.616933i | \(0.788375\pi\) | |||||||
\(992\) | −4.27085 | + | 7.39733i | −0.135600 | + | 0.234866i | ||||
\(993\) | 9.11773 | − | 9.11773i | 0.289343 | − | 0.289343i | ||||
\(994\) | −0.184874 | + | 16.4588i | −0.00586385 | + | 0.522041i | ||||
\(995\) | 15.1273 | + | 4.05335i | 0.479568 | + | 0.128500i | ||||
\(996\) | 1.60776 | + | 0.430798i | 0.0509438 | + | 0.0136504i | ||||
\(997\) | − | 20.9767i | − | 0.664338i | −0.943220 | − | 0.332169i | \(-0.892220\pi\) | ||
0.943220 | − | 0.332169i | \(-0.107780\pi\) | |||||||
\(998\) | −0.575279 | + | 0.332138i | −0.0182101 | + | 0.0105136i | ||||
\(999\) | 0.127237 | + | 0.127237i | 0.00402559 | + | 0.00402559i |
(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 | 546.2.cg.b.241.1 | yes | 40 | |
7.5 | odd | 6 | 546.2.by.b.397.1 | ✓ | 40 | ||
13.2 | odd | 12 | 546.2.by.b.535.1 | yes | 40 | ||
91.54 | even | 12 | inner | 546.2.cg.b.145.1 | yes | 40 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
546.2.by.b.397.1 | ✓ | 40 | 7.5 | odd | 6 | ||
546.2.by.b.535.1 | yes | 40 | 13.2 | odd | 12 | ||
546.2.cg.b.145.1 | yes | 40 | 91.54 | even | 12 | inner | |
546.2.cg.b.241.1 | yes | 40 | 1.1 | even | 1 | trivial |