Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [108,2,Mod(11,108)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(108, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 13]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("108.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 108 = 2^{2} \cdot 3^{3} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 108.l (of order \(18\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.862384341830\) |
Analytic rank: | \(0\) |
Dimension: | \(96\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 83.12 | ||
Character | \(\chi\) | \(=\) | 108.83 |
Dual form | 108.2.l.a.95.12 |
$q$-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 \(\left(\mathbb{Z}/108\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(55\) |
\(\chi(n)\) | \(e\left(\frac{1}{18}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.554733 | − | 1.30087i | 0.392255 | − | 0.919856i | ||||
\(3\) | 0.463152 | − | 1.66898i | 0.267401 | − | 0.963585i | ||||
\(4\) | −1.38454 | − | 1.44327i | −0.692272 | − | 0.721637i | ||||
\(5\) | 1.24142 | + | 1.47946i | 0.555179 | + | 0.661636i | 0.968519 | − | 0.248941i | \(-0.0800824\pi\) |
−0.413340 | + | 0.910577i | \(0.635638\pi\) | |||||||
\(6\) | −1.91420 | − | 1.52834i | −0.781471 | − | 0.623942i | ||||
\(7\) | 0.767596 | + | 2.10895i | 0.290124 | + | 0.797109i | 0.996048 | + | 0.0888209i | \(0.0283099\pi\) |
−0.705924 | + | 0.708288i | \(0.749468\pi\) | |||||||
\(8\) | −2.64557 | + | 1.00049i | −0.935349 | + | 0.353725i | ||||
\(9\) | −2.57098 | − | 1.54598i | −0.856993 | − | 0.515328i | ||||
\(10\) | 2.61325 | − | 0.794220i | 0.826382 | − | 0.251154i | ||||
\(11\) | −2.76598 | − | 2.32094i | −0.833975 | − | 0.699788i | 0.122225 | − | 0.992502i | \(-0.460997\pi\) |
−0.956200 | + | 0.292714i | \(0.905442\pi\) | |||||||
\(12\) | −3.05005 | + | 1.64232i | −0.880473 | + | 0.474096i | ||||
\(13\) | 0.799948 | + | 4.53673i | 0.221866 | + | 1.25826i | 0.868587 | + | 0.495536i | \(0.165029\pi\) |
−0.646721 | + | 0.762726i | \(0.723860\pi\) | |||||||
\(14\) | 3.16929 | + | 0.171359i | 0.847028 | + | 0.0457977i | ||||
\(15\) | 3.04416 | − | 1.38668i | 0.785998 | − | 0.358040i | ||||
\(16\) | −0.166078 | + | 3.99655i | −0.0415195 | + | 0.999138i | ||||
\(17\) | 3.65512 | − | 2.11029i | 0.886497 | − | 0.511819i | 0.0137019 | − | 0.999906i | \(-0.495638\pi\) |
0.872795 | + | 0.488087i | \(0.162305\pi\) | |||||||
\(18\) | −3.43733 | + | 2.48691i | −0.810187 | + | 0.586171i | ||||
\(19\) | 3.84463 | + | 2.21970i | 0.882018 | + | 0.509233i | 0.871323 | − | 0.490709i | \(-0.163262\pi\) |
0.0106948 | + | 0.999943i | \(0.496596\pi\) | |||||||
\(20\) | 0.416474 | − | 3.84009i | 0.0931265 | − | 0.858669i | ||||
\(21\) | 3.87531 | − | 0.304335i | 0.845662 | − | 0.0664113i | ||||
\(22\) | −4.55362 | + | 2.31070i | −0.970836 | + | 0.492642i | ||||
\(23\) | −4.90294 | − | 1.78453i | −1.02233 | − | 0.372099i | −0.224177 | − | 0.974548i | \(-0.571969\pi\) |
−0.798157 | + | 0.602449i | \(0.794192\pi\) | |||||||
\(24\) | 0.444487 | + | 4.87877i | 0.0907306 | + | 0.995875i | ||||
\(25\) | 0.220546 | − | 1.25078i | 0.0441091 | − | 0.250155i | ||||
\(26\) | 6.34547 | + | 1.47604i | 1.24445 | + | 0.289475i | ||||
\(27\) | −3.77097 | + | 3.57488i | −0.725723 | + | 0.687987i | ||||
\(28\) | 1.98102 | − | 4.02779i | 0.374378 | − | 0.761180i | ||||
\(29\) | 0.836409 | + | 0.147481i | 0.155317 | + | 0.0273866i | 0.250766 | − | 0.968048i | \(-0.419318\pi\) |
−0.0954488 | + | 0.995434i | \(0.530429\pi\) | |||||||
\(30\) | −0.115204 | − | 4.72930i | −0.0210333 | − | 0.863449i | ||||
\(31\) | −0.155947 | + | 0.428462i | −0.0280090 | + | 0.0769540i | −0.952909 | − | 0.303256i | \(-0.901926\pi\) |
0.924900 | + | 0.380210i | \(0.124148\pi\) | |||||||
\(32\) | 5.10688 | + | 2.43306i | 0.902777 | + | 0.430109i | ||||
\(33\) | −5.15466 | + | 3.54142i | −0.897312 | + | 0.616482i | ||||
\(34\) | −0.717599 | − | 5.92549i | −0.123067 | − | 1.01621i | ||||
\(35\) | −2.16721 | + | 3.75372i | −0.366325 | + | 0.634494i | ||||
\(36\) | 1.32836 | + | 5.85111i | 0.221393 | + | 0.975185i | ||||
\(37\) | −2.56499 | − | 4.44270i | −0.421683 | − | 0.730376i | 0.574422 | − | 0.818560i | \(-0.305227\pi\) |
−0.996104 | + | 0.0881840i | \(0.971894\pi\) | |||||||
\(38\) | 5.02028 | − | 3.77004i | 0.814398 | − | 0.611581i | ||||
\(39\) | 7.94220 | + | 0.766101i | 1.27177 | + | 0.122674i | ||||
\(40\) | −4.76443 | − | 2.67200i | −0.753323 | − | 0.422481i | ||||
\(41\) | −11.2302 | + | 1.98019i | −1.75386 | + | 0.309254i | −0.955953 | − | 0.293521i | \(-0.905173\pi\) |
−0.797912 | + | 0.602774i | \(0.794062\pi\) | |||||||
\(42\) | 1.75386 | − | 5.21011i | 0.270626 | − | 0.803938i | ||||
\(43\) | −6.14371 | + | 7.32179i | −0.936907 | + | 1.11656i | 0.0560906 | + | 0.998426i | \(0.482136\pi\) |
−0.992997 | + | 0.118136i | \(0.962308\pi\) | |||||||
\(44\) | 0.479879 | + | 7.20551i | 0.0723445 | + | 1.08627i | ||||
\(45\) | −0.904433 | − | 5.72288i | −0.134825 | − | 0.853117i | ||||
\(46\) | −5.04126 | + | 5.38817i | −0.743294 | + | 0.794443i | ||||
\(47\) | 6.43838 | − | 2.34338i | 0.939134 | − | 0.341817i | 0.173310 | − | 0.984867i | \(-0.444554\pi\) |
0.765824 | + | 0.643050i | \(0.222331\pi\) | |||||||
\(48\) | 6.59324 | + | 2.12819i | 0.951652 | + | 0.307178i | ||||
\(49\) | 1.50384 | − | 1.26187i | 0.214834 | − | 0.180267i | ||||
\(50\) | −1.50476 | − | 0.980748i | −0.212805 | − | 0.138699i | ||||
\(51\) | −1.82914 | − | 7.07770i | −0.256131 | − | 0.991077i | ||||
\(52\) | 5.44018 | − | 7.43585i | 0.754417 | − | 1.03117i | ||||
\(53\) | − | 3.31328i | − | 0.455114i | −0.973765 | − | 0.227557i | \(-0.926926\pi\) | ||
0.973765 | − | 0.227557i | \(-0.0730739\pi\) | |||||||
\(54\) | 2.55859 | + | 6.88866i | 0.348181 | + | 0.937427i | ||||
\(55\) | − | 6.97342i | − | 0.940296i | ||||||
\(56\) | −4.14070 | − | 4.81141i | −0.553324 | − | 0.642951i | ||||
\(57\) | 5.48527 | − | 5.38854i | 0.726542 | − | 0.713730i | ||||
\(58\) | 0.655838 | − | 1.00625i | 0.0861158 | − | 0.132127i | ||||
\(59\) | −2.60577 | + | 2.18650i | −0.339243 | + | 0.284659i | −0.796453 | − | 0.604700i | \(-0.793293\pi\) |
0.457210 | + | 0.889359i | \(0.348849\pi\) | |||||||
\(60\) | −6.21613 | − | 2.47363i | −0.802499 | − | 0.319345i | ||||
\(61\) | −9.98589 | + | 3.63457i | −1.27856 | + | 0.465359i | −0.889956 | − | 0.456046i | \(-0.849265\pi\) |
−0.388606 | + | 0.921404i | \(0.627043\pi\) | |||||||
\(62\) | 0.470866 | + | 0.440550i | 0.0598000 | + | 0.0559498i | ||||
\(63\) | 1.28693 | − | 6.60876i | 0.162138 | − | 0.832626i | ||||
\(64\) | 5.99806 | − | 5.29370i | 0.749757 | − | 0.661713i | ||||
\(65\) | −5.71886 | + | 6.81547i | −0.709337 | + | 0.845355i | ||||
\(66\) | 1.74748 | + | 8.67010i | 0.215100 | + | 1.06722i | ||||
\(67\) | −0.436964 | + | 0.0770485i | −0.0533836 | + | 0.00941297i | −0.200276 | − | 0.979739i | \(-0.564184\pi\) |
0.146893 | + | 0.989152i | \(0.453073\pi\) | |||||||
\(68\) | −8.10639 | − | 2.35356i | −0.983045 | − | 0.285411i | ||||
\(69\) | −5.24914 | + | 7.35640i | −0.631923 | + | 0.885606i | ||||
\(70\) | 3.68089 | + | 4.90158i | 0.439951 | + | 0.585850i | ||||
\(71\) | −0.668591 | − | 1.15803i | −0.0793471 | − | 0.137433i | 0.823621 | − | 0.567140i | \(-0.191950\pi\) |
−0.902968 | + | 0.429707i | \(0.858617\pi\) | |||||||
\(72\) | 8.34843 | + | 1.51778i | 0.983872 | + | 0.178872i | ||||
\(73\) | 7.86923 | − | 13.6299i | 0.921023 | − | 1.59526i | 0.123188 | − | 0.992383i | \(-0.460688\pi\) |
0.797835 | − | 0.602876i | \(-0.205979\pi\) | |||||||
\(74\) | −7.20228 | + | 0.872223i | −0.837248 | + | 0.101394i | ||||
\(75\) | −1.98537 | − | 0.947386i | −0.229251 | − | 0.109395i | ||||
\(76\) | −2.11942 | − | 8.62212i | −0.243115 | − | 0.989025i | ||||
\(77\) | 2.77158 | − | 7.61486i | 0.315851 | − | 0.867794i | ||||
\(78\) | 5.40240 | − | 9.90682i | 0.611701 | − | 1.12173i | ||||
\(79\) | 10.2301 | + | 1.80385i | 1.15098 | + | 0.202948i | 0.716403 | − | 0.697687i | \(-0.245787\pi\) |
0.434575 | + | 0.900636i | \(0.356899\pi\) | |||||||
\(80\) | −6.11892 | + | 4.71568i | −0.684116 | + | 0.527229i | ||||
\(81\) | 4.21987 | + | 7.94938i | 0.468875 | + | 0.883265i | ||||
\(82\) | −3.65379 | + | 15.7076i | −0.403493 | + | 1.73461i | ||||
\(83\) | 0.245265 | − | 1.39097i | 0.0269213 | − | 0.152679i | −0.968384 | − | 0.249465i | \(-0.919745\pi\) |
0.995305 | + | 0.0967864i | \(0.0308564\pi\) | |||||||
\(84\) | −5.80477 | − | 5.17177i | −0.633353 | − | 0.564286i | ||||
\(85\) | 7.65962 | + | 2.78787i | 0.830802 | + | 0.302387i | ||||
\(86\) | 6.11660 | + | 12.0538i | 0.659570 | + | 1.29980i | ||||
\(87\) | 0.633528 | − | 1.32764i | 0.0679214 | − | 0.142338i | ||||
\(88\) | 9.63966 | + | 3.37287i | 1.02759 | + | 0.359549i | ||||
\(89\) | 4.09541 | + | 2.36448i | 0.434112 | + | 0.250635i | 0.701097 | − | 0.713066i | \(-0.252694\pi\) |
−0.266985 | + | 0.963701i | \(0.586027\pi\) | |||||||
\(90\) | −7.94646 | − | 1.99811i | −0.837631 | − | 0.210620i | ||||
\(91\) | −8.95371 | + | 5.16943i | −0.938604 | + | 0.541903i | ||||
\(92\) | 4.21278 | + | 9.54704i | 0.439213 | + | 0.995348i | ||||
\(93\) | 0.642866 | + | 0.458716i | 0.0666621 | + | 0.0475666i | ||||
\(94\) | 0.523140 | − | 9.67547i | 0.0539578 | − | 0.997948i | ||||
\(95\) | 1.48883 | + | 8.44356i | 0.152750 | + | 0.866291i | ||||
\(96\) | 6.42599 | − | 7.39639i | 0.655850 | − | 0.754891i | ||||
\(97\) | 3.17914 | + | 2.66762i | 0.322793 | + | 0.270856i | 0.789756 | − | 0.613421i | \(-0.210207\pi\) |
−0.466963 | + | 0.884277i | \(0.654652\pi\) | |||||||
\(98\) | −0.807305 | − | 2.65630i | −0.0815501 | − | 0.268327i | ||||
\(99\) | 3.52316 | + | 10.2432i | 0.354091 | + | 1.02948i | ||||
\(100\) | −2.11057 | + | 1.41345i | −0.211057 | + | 0.141345i | ||||
\(101\) | 5.24264 | + | 14.4040i | 0.521662 | + | 1.43325i | 0.868670 | + | 0.495392i | \(0.164976\pi\) |
−0.347008 | + | 0.937862i | \(0.612802\pi\) | |||||||
\(102\) | −10.2219 | − | 1.54675i | −1.01212 | − | 0.153151i | ||||
\(103\) | −5.99861 | − | 7.14886i | −0.591060 | − | 0.704398i | 0.384749 | − | 0.923021i | \(-0.374288\pi\) |
−0.975809 | + | 0.218623i | \(0.929844\pi\) | |||||||
\(104\) | −6.65525 | − | 11.2019i | −0.652601 | − | 1.09844i | ||||
\(105\) | 5.26113 | + | 5.35557i | 0.513433 | + | 0.522650i | ||||
\(106\) | −4.31016 | − | 1.83799i | −0.418640 | − | 0.178521i | ||||
\(107\) | 3.24998 | 0.314187 | 0.157094 | − | 0.987584i | \(-0.449788\pi\) | ||||
0.157094 | + | 0.987584i | \(0.449788\pi\) | |||||||
\(108\) | 10.3806 | + | 0.492955i | 0.998874 | + | 0.0474346i | ||||
\(109\) | −5.85859 | −0.561151 | −0.280575 | − | 0.959832i | \(-0.590525\pi\) | ||||
−0.280575 | + | 0.959832i | \(0.590525\pi\) | |||||||
\(110\) | −9.07154 | − | 3.86838i | −0.864937 | − | 0.368836i | ||||
\(111\) | −8.60276 | + | 2.22327i | −0.816538 | + | 0.211024i | ||||
\(112\) | −8.55601 | + | 2.71748i | −0.808467 | + | 0.256778i | ||||
\(113\) | −4.42610 | − | 5.27482i | −0.416372 | − | 0.496213i | 0.516567 | − | 0.856247i | \(-0.327210\pi\) |
−0.932939 | + | 0.360033i | \(0.882765\pi\) | |||||||
\(114\) | −3.96695 | − | 10.1248i | −0.371539 | − | 0.948279i | ||||
\(115\) | −3.44646 | − | 9.46907i | −0.321384 | − | 0.882995i | ||||
\(116\) | −0.945189 | − | 1.41136i | −0.0877586 | − | 0.131042i | ||||
\(117\) | 4.95706 | − | 12.9005i | 0.458280 | − | 1.19266i | ||||
\(118\) | 1.39886 | + | 4.60271i | 0.128775 | + | 0.423714i | ||||
\(119\) | 7.25614 | + | 6.08863i | 0.665170 | + | 0.558144i | ||||
\(120\) | −6.66617 | + | 6.71420i | −0.608536 | + | 0.612919i | ||||
\(121\) | 0.353791 | + | 2.00645i | 0.0321628 | + | 0.182404i | ||||
\(122\) | −0.811387 | + | 15.0066i | −0.0734595 | + | 1.35863i | ||||
\(123\) | −1.89641 | + | 19.6601i | −0.170993 | + | 1.77269i | ||||
\(124\) | 0.834304 | − | 0.368149i | 0.0749227 | − | 0.0330608i | ||||
\(125\) | 10.4871 | − | 6.05470i | 0.937990 | − | 0.541549i | ||||
\(126\) | −7.88326 | − | 5.34023i | −0.702297 | − | 0.475745i | ||||
\(127\) | 5.25462 | + | 3.03376i | 0.466272 | + | 0.269202i | 0.714678 | − | 0.699454i | \(-0.246573\pi\) |
−0.248406 | + | 0.968656i | \(0.579907\pi\) | |||||||
\(128\) | −3.55912 | − | 10.7393i | −0.314585 | − | 0.949229i | ||||
\(129\) | 9.37443 | + | 13.6448i | 0.825373 | + | 1.20136i | ||||
\(130\) | 5.69363 | + | 11.2203i | 0.499364 | + | 0.984083i | ||||
\(131\) | 0.724356 | + | 0.263644i | 0.0632873 | + | 0.0230347i | 0.373470 | − | 0.927642i | \(-0.378168\pi\) |
−0.310183 | + | 0.950677i | \(0.600390\pi\) | |||||||
\(132\) | 12.2481 | + | 2.53634i | 1.06606 | + | 0.220760i | ||||
\(133\) | −1.73011 | + | 9.81196i | −0.150020 | + | 0.850805i | ||||
\(134\) | −0.142168 | + | 0.611176i | −0.0122814 | + | 0.0527975i | ||||
\(135\) | −9.97026 | − | 1.14109i | −0.858103 | − | 0.0982090i | ||||
\(136\) | −7.55856 | + | 9.23980i | −0.648141 | + | 0.792306i | ||||
\(137\) | 3.03251 | + | 0.534713i | 0.259085 | + | 0.0456836i | 0.301682 | − | 0.953409i | \(-0.402452\pi\) |
−0.0425969 | + | 0.999092i | \(0.513563\pi\) | |||||||
\(138\) | 6.65787 | + | 10.9093i | 0.566756 | + | 0.928662i | ||||
\(139\) | 4.04539 | − | 11.1146i | 0.343126 | − | 0.942730i | −0.641356 | − | 0.767243i | \(-0.721628\pi\) |
0.984482 | − | 0.175487i | \(-0.0561500\pi\) | |||||||
\(140\) | 8.41824 | − | 2.06931i | 0.711471 | − | 0.174889i | ||||
\(141\) | −0.929098 | − | 11.8309i | −0.0782442 | − | 0.996338i | ||||
\(142\) | −1.87734 | + | 0.227353i | −0.157543 | + | 0.0190791i | ||||
\(143\) | 8.31682 | − | 14.4051i | 0.695487 | − | 1.20462i | ||||
\(144\) | 6.60558 | − | 10.0183i | 0.550465 | − | 0.834858i | ||||
\(145\) | 0.820139 | + | 1.42052i | 0.0681089 | + | 0.117968i | ||||
\(146\) | −13.3655 | − | 17.7978i | −1.10613 | − | 1.47296i | ||||
\(147\) | −1.40953 | − | 3.09431i | −0.116256 | − | 0.255214i | ||||
\(148\) | −2.86069 | + | 9.85310i | −0.235147 | + | 0.809920i | ||||
\(149\) | −7.53658 | + | 1.32890i | −0.617421 | + | 0.108868i | −0.473606 | − | 0.880737i | \(-0.657048\pi\) |
−0.143815 | + | 0.989605i | \(0.545937\pi\) | |||||||
\(150\) | −2.33378 | + | 2.05717i | −0.190552 | + | 0.167967i | ||||
\(151\) | 8.22189 | − | 9.79847i | 0.669088 | − | 0.797388i | −0.319571 | − | 0.947562i | \(-0.603539\pi\) |
0.988660 | + | 0.150174i | \(0.0479834\pi\) | |||||||
\(152\) | −12.3920 | − | 2.02587i | −1.00512 | − | 0.164319i | ||||
\(153\) | −12.6597 | − | 0.225254i | −1.02348 | − | 0.0182107i | ||||
\(154\) | −8.36849 | − | 7.82969i | −0.674352 | − | 0.630935i | ||||
\(155\) | −0.827489 | + | 0.301182i | −0.0664655 | + | 0.0241915i | ||||
\(156\) | −9.89063 | − | 12.5235i | −0.791885 | − | 1.00268i | ||||
\(157\) | −3.15780 | + | 2.64970i | −0.252020 | + | 0.211469i | −0.760041 | − | 0.649875i | \(-0.774821\pi\) |
0.508022 | + | 0.861344i | \(0.330377\pi\) | |||||||
\(158\) | 8.02155 | − | 12.3074i | 0.638160 | − | 0.979127i | ||||
\(159\) | −5.52980 | − | 1.53455i | −0.438541 | − | 0.121698i | ||||
\(160\) | 2.74014 | + | 10.5759i | 0.216627 | + | 0.836097i | ||||
\(161\) | − | 11.7099i | − | 0.922866i | ||||||
\(162\) | 12.6820 | − | 1.07974i | 0.996395 | − | 0.0848325i | ||||
\(163\) | − | 15.6137i | − | 1.22296i | −0.791261 | − | 0.611478i | \(-0.790575\pi\) | ||
0.791261 | − | 0.611478i | \(-0.209425\pi\) | |||||||
\(164\) | 18.4067 | + | 13.4666i | 1.43732 | + | 1.05157i | ||||
\(165\) | −11.6385 | − | 3.22976i | −0.906055 | − | 0.251436i | ||||
\(166\) | −1.67342 | − | 1.09067i | −0.129882 | − | 0.0846527i | ||||
\(167\) | 14.6607 | − | 12.3018i | 1.13448 | − | 0.951940i | 0.135234 | − | 0.990814i | \(-0.456821\pi\) |
0.999244 | + | 0.0388736i | \(0.0123770\pi\) | |||||||
\(168\) | −9.94791 | + | 4.68233i | −0.767498 | + | 0.361249i | ||||
\(169\) | −7.72601 | + | 2.81204i | −0.594308 | + | 0.216310i | ||||
\(170\) | 7.87571 | − | 8.41767i | 0.604039 | − | 0.645606i | ||||
\(171\) | −6.45285 | − | 11.6505i | −0.493461 | − | 0.890938i | ||||
\(172\) | 19.0736 | − | 1.27028i | 1.45435 | − | 0.0968580i | ||||
\(173\) | 4.37402 | − | 5.21275i | 0.332550 | − | 0.396318i | −0.573696 | − | 0.819068i | \(-0.694491\pi\) |
0.906246 | + | 0.422750i | \(0.138935\pi\) | |||||||
\(174\) | −1.37566 | − | 1.56063i | −0.104288 | − | 0.118311i | ||||
\(175\) | 2.80712 | − | 0.494970i | 0.212198 | − | 0.0374162i | ||||
\(176\) | 9.73510 | − | 10.6689i | 0.733811 | − | 0.804201i | ||||
\(177\) | 2.44236 | + | 5.36167i | 0.183579 | + | 0.403008i | ||||
\(178\) | 5.34775 | − | 4.01595i | 0.400831 | − | 0.301008i | ||||
\(179\) | 3.48889 | + | 6.04293i | 0.260772 | + | 0.451670i | 0.966447 | − | 0.256865i | \(-0.0826896\pi\) |
−0.705675 | + | 0.708535i | \(0.749356\pi\) | |||||||
\(180\) | −7.00746 | + | 9.22892i | −0.522305 | + | 0.687883i | ||||
\(181\) | −4.61403 | + | 7.99173i | −0.342958 | + | 0.594020i | −0.984981 | − | 0.172665i | \(-0.944762\pi\) |
0.642023 | + | 0.766686i | \(0.278095\pi\) | |||||||
\(182\) | 1.75786 | + | 14.5153i | 0.130301 | + | 1.07594i | ||||
\(183\) | 1.44103 | + | 18.3496i | 0.106524 | + | 1.35644i | ||||
\(184\) | 14.7565 | − | 0.184239i | 1.08786 | − | 0.0135823i | ||||
\(185\) | 3.38859 | − | 9.31006i | 0.249134 | − | 0.684489i | ||||
\(186\) | 0.953350 | − | 0.581823i | 0.0699030 | − | 0.0426613i | ||||
\(187\) | −15.0078 | − | 2.64629i | −1.09748 | − | 0.193516i | ||||
\(188\) | −12.2964 | − | 6.04784i | −0.896804 | − | 0.441084i | ||||
\(189\) | −10.4338 | − | 5.20872i | −0.758950 | − | 0.378879i | ||||
\(190\) | 11.8099 | + | 2.74714i | 0.856780 | + | 0.199298i | ||||
\(191\) | −1.89845 | + | 10.7667i | −0.137367 | + | 0.779048i | 0.835815 | + | 0.549011i | \(0.184996\pi\) |
−0.973182 | + | 0.230036i | \(0.926115\pi\) | |||||||
\(192\) | −6.05706 | − | 12.4624i | −0.437131 | − | 0.899398i | ||||
\(193\) | 8.40774 | + | 3.06017i | 0.605202 | + | 0.220276i | 0.626403 | − | 0.779500i | \(-0.284527\pi\) |
−0.0212004 | + | 0.999775i | \(0.506749\pi\) | |||||||
\(194\) | 5.23381 | − | 2.65585i | 0.375765 | − | 0.190679i | ||||
\(195\) | 8.72617 | + | 12.7013i | 0.624894 | + | 0.909556i | ||||
\(196\) | −3.90335 | − | 0.423336i | −0.278811 | − | 0.0302383i | ||||
\(197\) | 3.25272 | + | 1.87796i | 0.231747 | + | 0.133799i | 0.611378 | − | 0.791339i | \(-0.290616\pi\) |
−0.379631 | + | 0.925138i | \(0.623949\pi\) | |||||||
\(198\) | 15.2796 | + | 1.09907i | 1.08587 | + | 0.0781077i | ||||
\(199\) | −20.8928 | + | 12.0625i | −1.48105 | + | 0.855085i | −0.999769 | − | 0.0214819i | \(-0.993162\pi\) |
−0.481281 | + | 0.876567i | \(0.659828\pi\) | |||||||
\(200\) | 0.667914 | + | 3.52966i | 0.0472287 | + | 0.249585i | ||||
\(201\) | −0.0737885 | + | 0.764968i | −0.00520464 | + | 0.0539567i | ||||
\(202\) | 21.6461 | + | 1.17037i | 1.52301 | + | 0.0823473i | ||||
\(203\) | 0.330993 | + | 1.87715i | 0.0232311 | + | 0.131750i | ||||
\(204\) | −7.68253 | + | 12.4393i | −0.537885 | + | 0.870928i | ||||
\(205\) | −16.8710 | − | 14.1564i | −1.17832 | − | 0.988729i | ||||
\(206\) | −12.6274 | + | 3.83772i | −0.879792 | + | 0.267387i | ||||
\(207\) | 9.84652 | + | 12.1678i | 0.684381 | + | 0.845724i | ||||
\(208\) | −18.2641 | + | 2.44358i | −1.26639 | + | 0.169432i | ||||
\(209\) | −5.48240 | − | 15.0628i | −0.379226 | − | 1.04191i | ||||
\(210\) | 9.88544 | − | 3.87315i | 0.682160 | − | 0.267273i | ||||
\(211\) | 15.9362 | + | 18.9920i | 1.09709 | + | 1.30746i | 0.947869 | + | 0.318659i | \(0.103232\pi\) |
0.149222 | + | 0.988804i | \(0.452323\pi\) | |||||||
\(212\) | −4.78197 | + | 4.58738i | −0.328427 | + | 0.315063i | ||||
\(213\) | −2.24239 | + | 0.579518i | −0.153646 | + | 0.0397079i | ||||
\(214\) | 1.80287 | − | 4.22781i | 0.123242 | − | 0.289007i | ||||
\(215\) | −18.4592 | −1.25891 | ||||||||
\(216\) | 6.39973 | − | 13.2304i | 0.435447 | − | 0.900215i | ||||
\(217\) | −1.02331 | −0.0694668 | ||||||||
\(218\) | −3.24995 | + | 7.62128i | −0.220114 | + | 0.516178i | ||||
\(219\) | −19.1034 | − | 19.4463i | −1.29089 | − | 1.31406i | ||||
\(220\) | −10.0646 | + | 9.65500i | −0.678552 | + | 0.650940i | ||||
\(221\) | 12.4977 | + | 14.8942i | 0.840686 | + | 1.00189i | ||||
\(222\) | −1.88003 | + | 12.4244i | −0.126179 | + | 0.833872i | ||||
\(223\) | 2.13211 | + | 5.85793i | 0.142777 | + | 0.392276i | 0.990384 | − | 0.138349i | \(-0.0441796\pi\) |
−0.847607 | + | 0.530625i | \(0.821957\pi\) | |||||||
\(224\) | −1.21120 | + | 12.6378i | −0.0809264 | + | 0.844396i | ||||
\(225\) | −2.50070 | + | 2.87476i | −0.166713 | + | 0.191651i | ||||
\(226\) | −9.31718 | + | 2.83168i | −0.619769 | + | 0.188361i | ||||
\(227\) | −1.00852 | − | 0.846249i | −0.0669378 | − | 0.0561675i | 0.608705 | − | 0.793397i | \(-0.291689\pi\) |
−0.675643 | + | 0.737229i | \(0.736134\pi\) | |||||||
\(228\) | −15.3717 | − | 0.456080i | −1.01802 | − | 0.0302046i | ||||
\(229\) | −0.489908 | − | 2.77841i | −0.0323740 | − | 0.183602i | 0.964333 | − | 0.264693i | \(-0.0852707\pi\) |
−0.996707 | + | 0.0810909i | \(0.974160\pi\) | |||||||
\(230\) | −14.2299 | − | 0.769393i | −0.938293 | − | 0.0507323i | ||||
\(231\) | −11.4254 | − | 8.15256i | −0.751735 | − | 0.536399i | ||||
\(232\) | −2.36033 | + | 0.446643i | −0.154963 | + | 0.0293235i | ||||
\(233\) | −22.5534 | + | 13.0212i | −1.47752 | + | 0.853047i | −0.999677 | − | 0.0253988i | \(-0.991914\pi\) |
−0.477843 | + | 0.878445i | \(0.658581\pi\) | |||||||
\(234\) | −14.0321 | − | 13.6049i | −0.917310 | − | 0.889378i | ||||
\(235\) | 11.4597 | + | 6.61624i | 0.747546 | + | 0.431596i | ||||
\(236\) | 6.76353 | + | 0.733535i | 0.440269 | + | 0.0477491i | ||||
\(237\) | 7.74868 | − | 16.2384i | 0.503331 | − | 1.05480i | ||||
\(238\) | 11.9458 | − | 6.06176i | 0.774328 | − | 0.392926i | ||||
\(239\) | 11.7785 | + | 4.28703i | 0.761890 | + | 0.277305i | 0.693600 | − | 0.720360i | \(-0.256024\pi\) |
0.0682897 | + | 0.997666i | \(0.478246\pi\) | |||||||
\(240\) | 5.03638 | + | 12.3964i | 0.325097 | + | 0.800186i | ||||
\(241\) | 2.92491 | − | 16.5880i | 0.188410 | − | 1.06852i | −0.733086 | − | 0.680136i | \(-0.761921\pi\) |
0.921496 | − | 0.388389i | \(-0.126968\pi\) | |||||||
\(242\) | 2.80639 | + | 0.652805i | 0.180402 | + | 0.0419639i | ||||
\(243\) | 15.2218 | − | 3.36110i | 0.976478 | − | 0.215615i | ||||
\(244\) | 19.0716 | + | 9.38016i | 1.22093 | + | 0.600503i | ||||
\(245\) | 3.73378 | + | 0.658366i | 0.238542 | + | 0.0420615i | ||||
\(246\) | 24.5233 | + | 13.3731i | 1.56355 | + | 0.852637i | ||||
\(247\) | −6.99466 | + | 19.2177i | −0.445060 | + | 1.22279i | ||||
\(248\) | −0.0161004 | − | 1.28955i | −0.00102238 | − | 0.0818864i | ||||
\(249\) | −2.20790 | − | 1.05357i | −0.139920 | − | 0.0667674i | ||||
\(250\) | −2.05889 | − | 17.0011i | −0.130216 | − | 1.07524i | ||||
\(251\) | −4.17076 | + | 7.22397i | −0.263256 | + | 0.455973i | −0.967105 | − | 0.254377i | \(-0.918130\pi\) |
0.703849 | + | 0.710349i | \(0.251463\pi\) | |||||||
\(252\) | −11.3201 | + | 7.29273i | −0.713097 | + | 0.459399i | ||||
\(253\) | 9.41969 | + | 16.3154i | 0.592211 | + | 1.02574i | ||||
\(254\) | 6.86144 | − | 5.15267i | 0.430525 | − | 0.323308i | ||||
\(255\) | 8.20047 | − | 11.4925i | 0.513534 | − | 0.719690i | ||||
\(256\) | −15.9448 | − | 1.32748i | −0.996552 | − | 0.0829674i | ||||
\(257\) | −8.27132 | + | 1.45846i | −0.515951 | + | 0.0909760i | −0.425560 | − | 0.904930i | \(-0.639923\pi\) |
−0.0903909 | + | 0.995906i | \(0.528812\pi\) | |||||||
\(258\) | 22.9505 | − | 4.62572i | 1.42884 | − | 0.287985i | ||||
\(259\) | 7.40056 | − | 8.81965i | 0.459849 | − | 0.548026i | ||||
\(260\) | 17.7546 | − | 1.18244i | 1.10109 | − | 0.0733317i | ||||
\(261\) | −1.92239 | − | 1.67225i | −0.118993 | − | 0.103509i | ||||
\(262\) | 0.744792 | − | 0.796044i | 0.0460134 | − | 0.0491798i | ||||
\(263\) | −26.6825 | + | 9.71162i | −1.64531 | + | 0.598844i | −0.987956 | − | 0.154736i | \(-0.950547\pi\) |
−0.657356 | + | 0.753581i | \(0.728325\pi\) | |||||||
\(264\) | 10.0939 | − | 14.5262i | 0.621235 | − | 0.894028i | ||||
\(265\) | 4.90188 | − | 4.11317i | 0.301120 | − | 0.252670i | ||||
\(266\) | 11.8044 | + | 7.69367i | 0.723772 | + | 0.471729i | ||||
\(267\) | 5.84307 | − | 5.74003i | 0.357590 | − | 0.351284i | ||||
\(268\) | 0.716197 | + | 0.523981i | 0.0437487 | + | 0.0320072i | ||||
\(269\) | 23.6838i | 1.44403i | 0.691878 | + | 0.722015i | \(0.256784\pi\) | ||||
−0.691878 | + | 0.722015i | \(0.743216\pi\) | |||||||
\(270\) | −7.01523 | + | 12.3370i | −0.426934 | + | 0.750809i | ||||
\(271\) | − | 19.2631i | − | 1.17015i | −0.810979 | − | 0.585076i | \(-0.801065\pi\) | ||
0.810979 | − | 0.585076i | \(-0.198935\pi\) | |||||||
\(272\) | 7.82683 | + | 14.9583i | 0.474571 | + | 0.906983i | ||||
\(273\) | 4.48073 | + | 17.3378i | 0.271186 | + | 1.04933i | ||||
\(274\) | 2.37783 | − | 3.64829i | 0.143650 | − | 0.220401i | ||||
\(275\) | −3.51299 | + | 2.94775i | −0.211842 | + | 0.177756i | ||||
\(276\) | 17.8850 | − | 2.60930i | 1.07655 | − | 0.157062i | ||||
\(277\) | 27.6790 | − | 10.0743i | 1.66307 | − | 0.605309i | 0.672231 | − | 0.740341i | \(-0.265336\pi\) |
0.990841 | + | 0.135032i | \(0.0431138\pi\) | |||||||
\(278\) | −12.2146 | − | 11.4282i | −0.732584 | − | 0.685417i | ||||
\(279\) | 1.06333 | − | 0.860475i | 0.0636600 | − | 0.0515153i | ||||
\(280\) | 1.97796 | − | 12.0990i | 0.118206 | − | 0.723052i | ||||
\(281\) | 2.69136 | − | 3.20744i | 0.160553 | − | 0.191340i | −0.679770 | − | 0.733425i | \(-0.737921\pi\) |
0.840324 | + | 0.542085i | \(0.182365\pi\) | |||||||
\(282\) | −15.9059 | − | 5.35433i | −0.947180 | − | 0.318845i | ||||
\(283\) | 9.03614 | − | 1.59332i | 0.537143 | − | 0.0947128i | 0.101505 | − | 0.994835i | \(-0.467634\pi\) |
0.435638 | + | 0.900122i | \(0.356523\pi\) | |||||||
\(284\) | −0.745666 | + | 2.56831i | −0.0442471 | + | 0.152401i | ||||
\(285\) | 14.7817 | + | 1.42583i | 0.875590 | + | 0.0844591i | ||||
\(286\) | −14.1257 | − | 18.8101i | −0.835268 | − | 1.11227i | ||||
\(287\) | −12.7964 | − | 22.1640i | −0.755347 | − | 1.30830i | ||||
\(288\) | −9.36821 | − | 14.1505i | −0.552027 | − | 0.833826i | ||||
\(289\) | 0.406606 | − | 0.704262i | 0.0239180 | − | 0.0414272i | ||||
\(290\) | 2.30288 | − | 0.278887i | 0.135230 | − | 0.0163768i | ||||
\(291\) | 5.92463 | − | 4.07041i | 0.347308 | − | 0.238612i | ||||
\(292\) | −30.5670 | + | 7.51374i | −1.78880 | + | 0.439709i | ||||
\(293\) | 0.696060 | − | 1.91241i | 0.0406642 | − | 0.111724i | −0.917699 | − | 0.397277i | \(-0.869955\pi\) |
0.958363 | + | 0.285553i | \(0.0921773\pi\) | |||||||
\(294\) | −4.80722 | + | 0.117102i | −0.280363 | + | 0.00682953i | ||||
\(295\) | −6.46971 | − | 1.14078i | −0.376681 | − | 0.0664190i | ||||
\(296\) | 11.2307 | + | 9.18723i | 0.652773 | + | 0.533997i | ||||
\(297\) | 18.7275 | − | 1.13590i | 1.08668 | − | 0.0659115i | ||||
\(298\) | −2.45205 | + | 10.5413i | −0.142044 | + | 0.610643i | ||||
\(299\) | 4.17381 | − | 23.6709i | 0.241378 | − | 1.36892i | ||||
\(300\) | 1.38150 | + | 4.17713i | 0.0797608 | + | 0.241167i | ||||
\(301\) | −20.1572 | − | 7.33661i | −1.16184 | − | 0.422875i | ||||
\(302\) | −8.18562 | − | 16.1312i | −0.471030 | − | 0.928245i | ||||
\(303\) | 26.4682 | − | 2.07859i | 1.52056 | − | 0.119412i | ||||
\(304\) | −9.50964 | + | 14.9966i | −0.545415 | + | 0.860114i | ||||
\(305\) | −17.7739 | − | 10.2617i | −1.01773 | − | 0.587586i | ||||
\(306\) | −7.31578 | + | 16.3437i | −0.418215 | + | 0.934308i | ||||
\(307\) | −11.8292 | + | 6.82959i | −0.675128 | + | 0.389785i | −0.798017 | − | 0.602635i | \(-0.794118\pi\) |
0.122889 | + | 0.992420i | \(0.460784\pi\) | |||||||
\(308\) | −14.8277 | + | 6.54296i | −0.844887 | + | 0.372820i | ||||
\(309\) | −14.7096 | + | 6.70053i | −0.836798 | + | 0.381180i | ||||
\(310\) | −0.0672363 | + | 1.24353i | −0.00381876 | + | 0.0706280i | ||||
\(311\) | 0.0933988 | + | 0.529691i | 0.00529616 | + | 0.0300360i | 0.987341 | − | 0.158610i | \(-0.0507012\pi\) |
−0.982045 | + | 0.188646i | \(0.939590\pi\) | |||||||
\(312\) | −21.7781 | + | 5.91928i | −1.23294 | + | 0.335114i | ||||
\(313\) | 9.50743 | + | 7.97768i | 0.537392 | + | 0.450925i | 0.870645 | − | 0.491912i | \(-0.163702\pi\) |
−0.333253 | + | 0.942837i | \(0.608146\pi\) | |||||||
\(314\) | 1.69520 | + | 5.57777i | 0.0956656 | + | 0.314772i | ||||
\(315\) | 11.3750 | − | 6.30026i | 0.640911 | − | 0.354980i | ||||
\(316\) | −11.5606 | − | 17.2624i | −0.650334 | − | 0.971083i | ||||
\(317\) | 1.57179 | + | 4.31845i | 0.0882803 | + | 0.242548i | 0.975974 | − | 0.217886i | \(-0.0699160\pi\) |
−0.887694 | + | 0.460434i | \(0.847694\pi\) | |||||||
\(318\) | −5.06382 | + | 6.34230i | −0.283965 | + | 0.355659i | ||||
\(319\) | −1.97120 | − | 2.34918i | −0.110366 | − | 0.131529i | ||||
\(320\) | 15.2779 | + | 2.30221i | 0.854062 | + | 0.128698i | ||||
\(321\) | 1.50524 | − | 5.42415i | 0.0840141 | − | 0.302746i | ||||
\(322\) | −15.2330 | − | 6.49584i | −0.848905 | − | 0.361999i | ||||
\(323\) | 18.7368 | 1.04254 | ||||||||
\(324\) | 5.63053 | − | 17.0967i | 0.312807 | − | 0.949817i | ||||
\(325\) | 5.85086 | 0.324547 | ||||||||
\(326\) | −20.3114 | − | 8.66140i | −1.12494 | − | 0.479711i | ||||
\(327\) | −2.71342 | + | 9.77785i | −0.150052 | + | 0.540717i | ||||
\(328\) | 27.7291 | − | 16.4744i | 1.53109 | − | 0.909646i | ||||
\(329\) | 9.88415 | + | 11.7795i | 0.544931 | + | 0.649423i | ||||
\(330\) | −10.6578 | + | 13.3485i | −0.586690 | + | 0.734813i | ||||
\(331\) | 4.21065 | + | 11.5687i | 0.231438 | + | 0.635872i | 0.999992 | − | 0.00391312i | \(-0.00124559\pi\) |
−0.768554 | + | 0.639785i | \(0.779023\pi\) | |||||||
\(332\) | −2.34713 | + | 1.57187i | −0.128815 | + | 0.0862676i | ||||
\(333\) | −0.273791 | + | 15.3875i | −0.0150036 | + | 0.843232i | ||||
\(334\) | −7.87030 | − | 25.8959i | −0.430643 | − | 1.41696i | ||||
\(335\) | −0.656444 | − | 0.550822i | −0.0358654 | − | 0.0300946i | ||||
\(336\) | 0.572686 | + | 15.5384i | 0.0312426 | + | 0.847690i | ||||
\(337\) | −4.13522 | − | 23.4520i | −0.225260 | − | 1.27751i | −0.862188 | − | 0.506589i | \(-0.830906\pi\) |
0.636928 | − | 0.770924i | \(-0.280205\pi\) | |||||||
\(338\) | −0.627764 | + | 11.6105i | −0.0341458 | + | 0.631527i | ||||
\(339\) | −10.8535 | + | 4.94402i | −0.589482 | + | 0.268522i | ||||
\(340\) | −6.58141 | − | 14.9149i | −0.356927 | − | 0.808872i | ||||
\(341\) | 1.42578 | − | 0.823174i | 0.0772103 | − | 0.0445774i | ||||
\(342\) | −18.7355 | + | 1.93141i | −1.01310 | + | 0.104439i | ||||
\(343\) | 17.4209 | + | 10.0580i | 0.940640 | + | 0.543079i | ||||
\(344\) | 8.92826 | − | 25.5170i | 0.481379 | − | 1.37578i | ||||
\(345\) | −17.3999 | + | 1.36644i | −0.936779 | + | 0.0735669i | ||||
\(346\) | −4.35472 | − | 8.58173i | −0.234111 | − | 0.461357i | ||||
\(347\) | −16.1498 | − | 5.87805i | −0.866967 | − | 0.315550i | −0.130029 | − | 0.991510i | \(-0.541507\pi\) |
−0.736938 | + | 0.675960i | \(0.763729\pi\) | |||||||
\(348\) | −2.79330 | + | 0.923824i | −0.149737 | + | 0.0495222i | ||||
\(349\) | −3.54043 | + | 20.0788i | −0.189515 | + | 1.07479i | 0.730501 | + | 0.682911i | \(0.239287\pi\) |
−0.920016 | + | 0.391881i | \(0.871825\pi\) | |||||||
\(350\) | 0.913305 | − | 3.92628i | 0.0488182 | − | 0.209868i | ||||
\(351\) | −19.2349 | − | 14.2481i | −1.02668 | − | 0.760510i | ||||
\(352\) | −8.47855 | − | 18.5825i | −0.451908 | − | 0.990453i | ||||
\(353\) | −16.3389 | − | 2.88098i | −0.869630 | − | 0.153339i | −0.279009 | − | 0.960289i | \(-0.590006\pi\) |
−0.590621 | + | 0.806949i | \(0.701117\pi\) | |||||||
\(354\) | 8.32971 | − | 0.202908i | 0.442719 | − | 0.0107845i | ||||
\(355\) | 0.883268 | − | 2.42676i | 0.0468790 | − | 0.128799i | ||||
\(356\) | −2.25767 | − | 9.18452i | −0.119656 | − | 0.486779i | ||||
\(357\) | 13.5225 | − | 9.29039i | 0.715686 | − | 0.491699i | ||||
\(358\) | 9.79649 | − | 1.18639i | 0.517761 | − | 0.0627028i | ||||
\(359\) | −12.0769 | + | 20.9178i | −0.637394 | + | 1.10400i | 0.348608 | + | 0.937268i | \(0.386654\pi\) |
−0.986003 | + | 0.166730i | \(0.946679\pi\) | |||||||
\(360\) | 8.11840 | + | 14.2354i | 0.427877 | + | 0.750271i | ||||
\(361\) | 0.354107 | + | 0.613331i | 0.0186372 | + | 0.0322806i | ||||
\(362\) | 7.83668 | + | 10.4355i | 0.411887 | + | 0.548480i | ||||
\(363\) | 3.51258 | + | 0.338822i | 0.184362 | + | 0.0177835i | ||||
\(364\) | 19.8577 | + | 5.76536i | 1.04083 | + | 0.302187i | ||||
\(365\) | 29.9339 | − | 5.27816i | 1.56681 | − | 0.276272i | ||||
\(366\) | 24.6699 | + | 8.30453i | 1.28952 | + | 0.434084i | ||||
\(367\) | −7.40216 | + | 8.82155i | −0.386389 | + | 0.460481i | −0.923820 | − | 0.382827i | \(-0.874951\pi\) |
0.537431 | + | 0.843308i | \(0.319395\pi\) | |||||||
\(368\) | 7.94622 | − | 19.2985i | 0.414225 | − | 1.00600i | ||||
\(369\) | 31.9340 | + | 12.2707i | 1.66242 | + | 0.638786i | ||||
\(370\) | −10.2315 | − | 9.57271i | −0.531908 | − | 0.497662i | ||||
\(371\) | 6.98755 | − | 2.54326i | 0.362776 | − | 0.132040i | ||||
\(372\) | −0.228024 | − | 1.56294i | −0.0118225 | − | 0.0810349i | ||||
\(373\) | −10.8968 | + | 9.14351i | −0.564215 | + | 0.473433i | −0.879721 | − | 0.475491i | \(-0.842270\pi\) |
0.315505 | + | 0.948924i | \(0.397826\pi\) | |||||||
\(374\) | −11.7678 | + | 18.0553i | −0.608499 | + | 0.933618i | ||||
\(375\) | −5.24807 | − | 20.3069i | −0.271009 | − | 1.04864i | ||||
\(376\) | −14.6887 | + | 12.6411i | −0.757510 | + | 0.651914i | ||||
\(377\) | 3.91254i | 0.201506i | ||||||||
\(378\) | −12.5639 | + | 10.6837i | −0.646216 | + | 0.549508i | ||||
\(379\) | 15.6591i | 0.804353i | 0.915562 | + | 0.402176i | \(0.131746\pi\) | ||||
−0.915562 | + | 0.402176i | \(0.868254\pi\) | |||||||
\(380\) | 10.1250 | − | 13.8393i | 0.519402 | − | 0.709939i | ||||
\(381\) | 7.49697 | − | 7.36476i | 0.384081 | − | 0.377308i | ||||
\(382\) | 12.9529 | + | 8.44226i | 0.662729 | + | 0.431944i | ||||
\(383\) | −1.58596 | + | 1.33077i | −0.0810386 | + | 0.0679994i | −0.682407 | − | 0.730972i | \(-0.739067\pi\) |
0.601369 | + | 0.798972i | \(0.294622\pi\) | |||||||
\(384\) | −19.5721 | + | 0.966160i | −0.998784 | + | 0.0493041i | ||||
\(385\) | 14.7066 | − | 5.35277i | 0.749518 | − | 0.272802i | ||||
\(386\) | 8.64494 | − | 9.23983i | 0.440016 | − | 0.470295i | ||||
\(387\) | 27.1147 | − | 9.32610i | 1.37832 | − | 0.474072i | ||||
\(388\) | −0.551560 | − | 8.28181i | −0.0280012 | − | 0.420445i | ||||
\(389\) | 6.02159 | − | 7.17625i | 0.305307 | − | 0.363850i | −0.591475 | − | 0.806323i | \(-0.701454\pi\) |
0.896782 | + | 0.442473i | \(0.145899\pi\) | |||||||
\(390\) | 21.3634 | − | 4.30585i | 1.08178 | − | 0.218035i | ||||
\(391\) | −21.6867 | + | 3.82395i | −1.09674 | + | 0.193386i | ||||
\(392\) | −2.71602 | + | 4.84293i | −0.137180 | + | 0.244605i | ||||
\(393\) | 0.775504 | − | 1.08683i | 0.0391190 | − | 0.0548232i | ||||
\(394\) | 4.24738 | − | 3.18961i | 0.213980 | − | 0.160690i | ||||
\(395\) | 10.0311 | + | 17.3744i | 0.504720 | + | 0.874201i | ||||
\(396\) | 9.90583 | − | 19.2671i | 0.497787 | − | 0.968208i | ||||
\(397\) | −2.40140 | + | 4.15935i | −0.120523 | + | 0.208752i | −0.919974 | − | 0.391979i | \(-0.871790\pi\) |
0.799451 | + | 0.600731i | \(0.205124\pi\) | |||||||
\(398\) | 4.10182 | + | 33.8703i | 0.205606 | + | 1.69776i | ||||
\(399\) | 15.5747 | + | 7.43196i | 0.779708 | + | 0.372063i | ||||
\(400\) | 4.96216 | + | 1.08915i | 0.248108 | + | 0.0544574i | ||||
\(401\) | −3.98655 | + | 10.9529i | −0.199079 | + | 0.546964i | −0.998555 | − | 0.0537330i | \(-0.982888\pi\) |
0.799477 | + | 0.600697i | \(0.205110\pi\) | |||||||
\(402\) | 0.954194 | + | 0.520342i | 0.0475909 | + | 0.0259523i | ||||
\(403\) | −2.06857 | − | 0.364744i | −0.103043 | − | 0.0181692i | ||||
\(404\) | 13.5303 | − | 27.5096i | 0.673157 | − | 1.36865i | ||||
\(405\) | −6.52220 | + | 16.1116i | −0.324091 | + | 0.800594i | ||||
\(406\) | 2.62555 | + | 0.610738i | 0.130304 | + | 0.0303104i | ||||
\(407\) | −3.21649 | + | 18.2416i | −0.159435 | + | 0.904204i | ||||
\(408\) | 11.9203 | + | 16.8945i | 0.590141 | + | 0.836403i | ||||
\(409\) | −13.8722 | − | 5.04908i | −0.685938 | − | 0.249661i | −0.0245432 | − | 0.999699i | \(-0.507813\pi\) |
−0.661395 | + | 0.750038i | \(0.730035\pi\) | |||||||
\(410\) | −27.7746 | + | 14.0940i | −1.37169 | + | 0.696052i | ||||
\(411\) | 2.29694 | − | 4.81354i | 0.113300 | − | 0.237434i | ||||
\(412\) | −2.01243 | + | 18.5555i | −0.0991453 | + | 0.914166i | ||||
\(413\) | −6.61141 | − | 3.81710i | −0.325326 | − | 0.187827i | ||||
\(414\) | 21.2910 | − | 6.05918i | 1.04640 | − | 0.297792i | ||||
\(415\) | 2.36236 | − | 1.36391i | 0.115964 | − | 0.0669517i | ||||
\(416\) | −6.95292 | + | 25.1149i | −0.340895 | + | 1.23136i | ||||
\(417\) | −16.6764 | − | 11.8994i | −0.816649 | − | 0.582718i | ||||
\(418\) | −22.6360 | − | 1.22390i | −1.10716 | − | 0.0598629i | ||||
\(419\) | −4.65518 | − | 26.4008i | −0.227420 | − | 1.28976i | −0.858004 | − | 0.513643i | \(-0.828296\pi\) |
0.630584 | − | 0.776121i | \(-0.282816\pi\) | |||||||
\(420\) | 0.445295 | − | 15.0083i | 0.0217282 | − | 0.732329i | ||||
\(421\) | 12.0245 | + | 10.0898i | 0.586041 | + | 0.491746i | 0.886925 | − | 0.461914i | \(-0.152837\pi\) |
−0.300884 | + | 0.953661i | \(0.597282\pi\) | |||||||
\(422\) | 33.5465 | − | 10.1955i | 1.63302 | − | 0.496308i | ||||
\(423\) | −20.1758 | − | 3.92885i | −0.980980 | − | 0.191027i | ||||
\(424\) | 3.31489 | + | 8.76551i | 0.160985 | + | 0.425691i | ||||
\(425\) | −1.83337 | − | 5.03715i | −0.0889316 | − | 0.244338i | ||||
\(426\) | −0.490048 | + | 3.23855i | −0.0237429 | + | 0.156908i | ||||
\(427\) | −15.3302 | − | 18.2699i | −0.741883 | − | 0.884141i | ||||
\(428\) | −4.49974 | − | 4.69061i | −0.217503 | − | 0.226729i | ||||
\(429\) | −20.1899 | − | 20.5524i | −0.974779 | − | 0.992278i | ||||
\(430\) | −10.2399 | + | 24.0131i | −0.493813 | + | 1.15802i | ||||
\(431\) | 7.41540 | 0.357187 | 0.178594 | − | 0.983923i | \(-0.442845\pi\) | ||||
0.178594 | + | 0.983923i | \(0.442845\pi\) | |||||||
\(432\) | −13.6609 | − | 15.6646i | −0.657262 | − | 0.753662i | ||||
\(433\) | −4.68463 | −0.225129 | −0.112564 | − | 0.993644i | \(-0.535906\pi\) | ||||
−0.112564 | + | 0.993644i | \(0.535906\pi\) | |||||||
\(434\) | −0.567663 | + | 1.33120i | −0.0272487 | + | 0.0638995i | ||||
\(435\) | 2.75067 | − | 0.710876i | 0.131885 | − | 0.0340839i | ||||
\(436\) | 8.11147 | + | 8.45554i | 0.388469 | + | 0.404947i | ||||
\(437\) | −14.8889 | − | 17.7439i | −0.712232 | − | 0.848805i | ||||
\(438\) | −35.8944 | + | 14.0636i | −1.71510 | + | 0.671983i | ||||
\(439\) | 3.24035 | + | 8.90278i | 0.154653 | + | 0.424906i | 0.992688 | − | 0.120711i | \(-0.0385174\pi\) |
−0.838034 | + | 0.545617i | \(0.816295\pi\) | |||||||
\(440\) | 6.97680 | + | 18.4487i | 0.332606 | + | 0.879505i | ||||
\(441\) | −5.81716 | + | 0.919334i | −0.277008 | + | 0.0437778i | ||||
\(442\) | 26.3083 | − | 7.99564i | 1.25136 | − | 0.380314i | ||||
\(443\) | −6.52691 | − | 5.47673i | −0.310103 | − | 0.260207i | 0.474432 | − | 0.880292i | \(-0.342654\pi\) |
−0.784534 | + | 0.620085i | \(0.787098\pi\) | |||||||
\(444\) | 15.1197 | + | 9.33791i | 0.717548 | + | 0.443158i | ||||
\(445\) | 1.58594 | + | 8.99431i | 0.0751808 | + | 0.426371i | ||||
\(446\) | 8.80317 | + | 0.475976i | 0.416842 | + | 0.0225381i | ||||
\(447\) | −1.27268 | + | 13.1939i | −0.0601955 | + | 0.624049i | ||||
\(448\) | 15.7682 | + | 8.58619i | 0.744980 | + | 0.405659i | ||||
\(449\) | −11.7429 | + | 6.77977i | −0.554182 | + | 0.319957i | −0.750807 | − | 0.660522i | \(-0.770335\pi\) |
0.196625 | + | 0.980479i | \(0.437002\pi\) | |||||||
\(450\) | 2.35248 | + | 4.84781i | 0.110897 | + | 0.228528i | ||||
\(451\) | 35.6585 | + | 20.5874i | 1.67909 | + | 0.969424i | ||||
\(452\) | −1.48488 | + | 13.6913i | −0.0698429 | + | 0.643984i | ||||
\(453\) | −12.5455 | − | 18.2604i | −0.589437 | − | 0.857946i | ||||
\(454\) | −1.66032 | + | 0.842515i | −0.0779227 | + | 0.0395412i | ||||
\(455\) | −18.7633 | − | 6.82927i | −0.879635 | − | 0.320161i | ||||
\(456\) | −9.12051 | + | 19.7437i | −0.427107 | + | 0.924583i | ||||
\(457\) | 1.52271 | − | 8.63570i | 0.0712292 | − | 0.403961i | −0.928258 | − | 0.371937i | \(-0.878694\pi\) |
0.999487 | − | 0.0320237i | \(-0.0101952\pi\) | |||||||
\(458\) | −3.88612 | − | 0.903964i | −0.181587 | − | 0.0422395i | ||||
\(459\) | −6.23932 | + | 21.0245i | −0.291226 | + | 0.981337i | ||||
\(460\) | −8.89468 | + | 18.0845i | −0.414717 | + | 0.843195i | ||||
\(461\) | −3.45442 | − | 0.609107i | −0.160888 | − | 0.0283690i | 0.0926237 | − | 0.995701i | \(-0.470475\pi\) |
−0.253512 | + | 0.967332i | \(0.581586\pi\) | |||||||
\(462\) | −16.9435 | + | 10.3405i | −0.788282 | + | 0.481083i | ||||
\(463\) | −3.45713 | + | 9.49839i | −0.160666 | + | 0.441427i | −0.993738 | − | 0.111738i | \(-0.964358\pi\) |
0.833071 | + | 0.553166i | \(0.186580\pi\) | |||||||
\(464\) | −0.728326 | + | 3.31826i | −0.0338117 | + | 0.154046i | ||||
\(465\) | 0.119412 | + | 1.52056i | 0.00553759 | + | 0.0705141i | ||||
\(466\) | 4.42784 | + | 36.5624i | 0.205116 | + | 1.69372i | ||||
\(467\) | 11.8949 | − | 20.6025i | 0.550429 | − | 0.953371i | −0.447815 | − | 0.894126i | \(-0.647798\pi\) |
0.998244 | − | 0.0592442i | \(-0.0188691\pi\) | |||||||
\(468\) | −25.4823 | + | 10.7070i | −1.17792 | + | 0.494930i | ||||
\(469\) | −0.497903 | − | 0.862393i | −0.0229910 | − | 0.0398216i | ||||
\(470\) | 14.9639 | − | 11.2373i | 0.690235 | − | 0.518339i | ||||
\(471\) | 2.95976 | + | 6.49751i | 0.136379 | + | 0.299389i | ||||
\(472\) | 4.70619 | − | 8.39159i | 0.216620 | − | 0.386254i | ||||
\(473\) | 33.9868 | − | 5.99279i | 1.56271 | − | 0.275549i | ||||
\(474\) | −16.8256 | − | 19.0880i | −0.772827 | − | 0.876742i | ||||
\(475\) | 3.62426 | − | 4.31922i | 0.166292 | − | 0.198180i | ||||
\(476\) | −1.25889 | − | 18.9026i | −0.0577012 | − | 0.866398i | ||||
\(477\) | −5.12228 | + | 8.51838i | −0.234533 | + | 0.390030i | ||||
\(478\) | 12.1108 | − | 12.9442i | 0.553936 | − | 0.592055i | ||||
\(479\) | 3.80441 | − | 1.38469i | 0.173828 | − | 0.0632682i | −0.253640 | − | 0.967299i | \(-0.581628\pi\) |
0.427468 | + | 0.904030i | \(0.359406\pi\) | |||||||
\(480\) | 18.9200 | + | 0.325014i | 0.863577 | + | 0.0148348i | ||||
\(481\) | 18.1035 | − | 15.1906i | 0.825447 | − | 0.692633i | ||||
\(482\) | −19.9563 | − | 13.0068i | −0.908985 | − | 0.592444i | ||||
\(483\) | −19.5435 | − | 5.42345i | −0.889261 | − | 0.246776i | ||||
\(484\) | 2.40601 | − | 3.28863i | 0.109364 | − | 0.149483i | ||||
\(485\) | 8.01505i | 0.363945i | ||||||||
\(486\) | 4.07165 | − | 21.6661i | 0.184694 | − | 0.982796i | ||||
\(487\) | − | 33.0188i | − | 1.49623i | −0.663571 | − | 0.748113i | \(-0.730960\pi\) | ||
0.663571 | − | 0.748113i | \(-0.269040\pi\) | |||||||
\(488\) | 22.7820 | − | 19.6062i | 1.03129 | − | 0.887532i | ||||
\(489\) | −26.0589 | − | 7.23150i | −1.17842 | − | 0.327020i | ||||
\(490\) | 2.92770 | − | 4.49196i | 0.132260 | − | 0.202926i | ||||
\(491\) | −28.4175 | + | 23.8451i | −1.28246 | + | 1.07611i | −0.289563 | + | 0.957159i | \(0.593510\pi\) |
−0.992900 | + | 0.118955i | \(0.962045\pi\) | |||||||
\(492\) | 31.0006 | − | 24.4832i | 1.39761 | − | 1.10379i | ||||
\(493\) | 3.36840 | − | 1.22600i | 0.151705 | − | 0.0552162i | ||||
\(494\) | 21.1196 | + | 19.7598i | 0.950216 | + | 0.889038i | ||||
\(495\) | −10.7808 | + | 17.9285i | −0.484560 | + | 0.805827i | ||||
\(496\) | −1.68647 | − | 0.694410i | −0.0757247 | − | 0.0311799i | ||||
\(497\) | 1.92903 | − | 2.29893i | 0.0865288 | − | 0.103121i | ||||
\(498\) | −2.59536 | + | 2.28775i | −0.116301 | + | 0.102516i | ||||
\(499\) | 7.16258 | − | 1.26296i | 0.320641 | − | 0.0565377i | −0.0110111 | − | 0.999939i | \(-0.503505\pi\) |
0.331652 | + | 0.943402i | \(0.392394\pi\) | |||||||
\(500\) | −23.2584 | − | 6.75269i | −1.04015 | − | 0.301989i | ||||
\(501\) | −13.7413 | − | 30.1660i | −0.613915 | − | 1.34772i | ||||
\(502\) | 7.08381 | + | 9.43300i | 0.316166 | + | 0.421016i | ||||
\(503\) | 1.56629 | + | 2.71289i | 0.0698374 | + | 0.120962i | 0.898830 | − | 0.438298i | \(-0.144419\pi\) |
−0.828992 | + | 0.559260i | \(0.811085\pi\) | |||||||
\(504\) | 3.20731 | + | 18.7715i | 0.142865 | + | 0.836148i | ||||
\(505\) | −14.8019 | + | 25.6377i | −0.658677 | + | 1.14086i | ||||
\(506\) | 26.4496 | − | 3.20315i | 1.17583 | − | 0.142397i | ||||
\(507\) | 1.11491 | + | 14.1969i | 0.0495149 | + | 0.630508i | ||||
\(508\) | −2.89671 | − | 11.7842i | −0.128521 | − | 0.522840i | ||||
\(509\) | −10.9349 | + | 30.0433i | −0.484680 | + | 1.33165i | 0.420759 | + | 0.907172i | \(0.361764\pi\) |
−0.905439 | + | 0.424476i | \(0.860458\pi\) | |||||||
\(510\) | −10.4013 | − | 17.0431i | −0.460576 | − | 0.754679i | ||||
\(511\) | 34.7852 | + | 6.13357i | 1.53881 | + | 0.271333i | ||||
\(512\) | −10.5720 | + | 20.0058i | −0.467221 | + | 0.884141i | ||||
\(513\) | −22.4331 | + | 5.37369i | −0.990447 | + | 0.237254i | ||||
\(514\) | −2.69110 | + | 11.5690i | −0.118699 | + | 0.510286i | ||||
\(515\) | 3.12970 | − | 17.7494i | 0.137911 | − | 0.782134i | ||||
\(516\) | 6.71390 | − | 32.4217i | 0.295563 | − | 1.42729i | ||||
\(517\) | −23.2473 | − | 8.46132i | −1.02241 | − | 0.372128i | ||||
\(518\) | −7.36791 | − | 14.5197i | −0.323727 | − | 0.637961i | ||||
\(519\) | −6.67414 | − | 9.71444i | −0.292962 | − | 0.426417i | ||||
\(520\) | 8.31085 | − | 23.7524i | 0.364455 | − | 1.04161i | ||||
\(521\) | 30.3830 | + | 17.5417i | 1.33111 | + | 0.768514i | 0.985469 | − | 0.169855i | \(-0.0543299\pi\) |
0.345636 | + | 0.938369i | \(0.387663\pi\) | |||||||
\(522\) | −3.24179 | + | 1.57313i | −0.141889 | + | 0.0688542i | ||||
\(523\) | 2.25663 | − | 1.30287i | 0.0986756 | − | 0.0569704i | −0.449850 | − | 0.893104i | \(-0.648523\pi\) |
0.548526 | + | 0.836134i | \(0.315189\pi\) | |||||||
\(524\) | −0.622392 | − | 1.41047i | −0.0271893 | − | 0.0616167i | ||||
\(525\) | 0.474027 | − | 4.91426i | 0.0206883 | − | 0.214476i | ||||
\(526\) | −2.16804 | + | 40.0979i | −0.0945310 | + | 1.74835i | ||||
\(527\) | 0.334170 | + | 1.89517i | 0.0145567 | + | 0.0825550i | ||||
\(528\) | −13.2974 | − | 21.1890i | −0.578695 | − | 0.922134i | ||||
\(529\) | 3.23530 | + | 2.71474i | 0.140665 | + | 0.118032i | ||||
\(530\) | −2.63148 | − | 8.65843i | −0.114304 | − | 0.376098i | ||||
\(531\) | 10.0797 | − | 1.59298i | 0.437421 | − | 0.0691293i | ||||
\(532\) | 16.5568 | − | 11.0881i | 0.717827 | − | 0.480728i | ||||
\(533\) | −17.9672 | − | 49.3644i | −0.778245 | − | 2.13821i | ||||
\(534\) | −4.22571 | − | 10.7853i | −0.182864 | − | 0.466724i | ||||
\(535\) | 4.03458 | + | 4.80823i | 0.174430 | + | 0.207878i | ||||
\(536\) | 1.07893 | − | 0.641013i | 0.0466027 | − | 0.0276875i | ||||
\(537\) | 11.7014 | − | 3.02408i | 0.504953 | − | 0.130499i | ||||
\(538\) | 30.8097 | + | 13.1382i | 1.32830 | + | 0.566428i | ||||
\(539\) | −7.08831 | −0.305315 | ||||||||
\(540\) | 12.1574 | + | 15.9697i | 0.523169 | + | 0.687226i | ||||
\(541\) | −41.2895 | −1.77517 | −0.887586 | − | 0.460641i | \(-0.847619\pi\) | ||||
−0.887586 | + | 0.460641i | \(0.847619\pi\) | |||||||
\(542\) | −25.0589 | − | 10.6859i | −1.07637 | − | 0.458998i | ||||
\(543\) | 11.2010 | + | 11.4021i | 0.480682 | + | 0.489311i | ||||
\(544\) | 23.8007 | − | 1.88383i | 1.02045 | − | 0.0807685i | ||||
\(545\) | −7.27295 | − | 8.66756i | −0.311539 | − | 0.371278i | ||||
\(546\) | 25.0399 | + | 3.78897i | 1.07161 | + | 0.162153i | ||||
\(547\) | −8.65303 | − | 23.7740i | −0.369977 | − | 1.01650i | −0.975370 | − | 0.220576i | \(-0.929206\pi\) |
0.605393 | − | 0.795927i | \(-0.293016\pi\) | |||||||
\(548\) | −3.42690 | − | 5.11708i | −0.146390 | − | 0.218591i | ||||
\(549\) | 31.2925 | + | 6.09362i | 1.33553 | + | 0.260069i | ||||
\(550\) | 1.88588 | + | 6.20518i | 0.0804142 | + | 0.264590i | ||||
\(551\) | 2.88832 | + | 2.42359i | 0.123046 | + | 0.103248i | ||||
\(552\) | 6.52700 | − | 24.7135i | 0.277807 | − | 1.05188i | ||||
\(553\) | 4.04837 | + | 22.9594i | 0.172154 | + | 0.976335i | ||||
\(554\) | 2.24901 | − | 41.5955i | 0.0955514 | − | 1.76722i | ||||
\(555\) | −13.9689 | − | 9.96745i | −0.592945 | − | 0.423095i | ||||
\(556\) | −21.6425 | + | 9.55008i | −0.917845 | + | 0.405013i | ||||
\(557\) | 22.1028 | − | 12.7610i | 0.936524 | − | 0.540702i | 0.0476549 | − | 0.998864i | \(-0.484825\pi\) |
0.888869 | + | 0.458162i | \(0.151492\pi\) | |||||||
\(558\) | −0.529504 | − | 1.86059i | −0.0224157 | − | 0.0787652i | ||||
\(559\) | −38.1316 | − | 22.0153i | −1.61280 | − | 0.931148i | ||||
\(560\) | −14.6420 | − | 9.28478i | −0.618737 | − | 0.392353i | ||||
\(561\) | −11.3675 | + | 23.8221i | −0.479937 | + | 1.00577i | ||||
\(562\) | −2.67949 | − | 5.28039i | −0.113027 | − | 0.222740i | ||||
\(563\) | 34.5832 | + | 12.5873i | 1.45751 | + | 0.530489i | 0.944678 | − | 0.328000i | \(-0.106375\pi\) |
0.512830 | + | 0.858490i | \(0.328597\pi\) | |||||||
\(564\) | −15.7888 | + | 17.7213i | −0.664828 | + | 0.746201i | ||||
\(565\) | 2.30927 | − | 13.0965i | 0.0971516 | − | 0.550974i | ||||
\(566\) | 2.93994 | − | 12.6387i | 0.123575 | − | 0.531246i | ||||
\(567\) | −13.5257 | + | 15.0014i | −0.568026 | + | 0.630000i | ||||
\(568\) | 2.92740 | + | 2.39474i | 0.122831 | + | 0.100481i | ||||
\(569\) | 1.43446 | + | 0.252934i | 0.0601358 | + | 0.0106036i | 0.203635 | − | 0.979047i | \(-0.434724\pi\) |
−0.143499 | + | 0.989650i | \(0.545835\pi\) | |||||||
\(570\) | 10.0547 | − | 18.4381i | 0.421145 | − | 0.772288i | ||||
\(571\) | 12.2279 | − | 33.5959i | 0.511721 | − | 1.40594i | −0.367721 | − | 0.929936i | \(-0.619862\pi\) |
0.879442 | − | 0.476006i | \(-0.157916\pi\) | |||||||
\(572\) | −32.3056 | + | 7.94111i | −1.35076 | + | 0.332035i | ||||
\(573\) | 17.0900 | + | 8.15508i | 0.713947 | + | 0.340683i | ||||
\(574\) | −35.9311 | + | 4.35139i | −1.49974 | + | 0.181624i | ||||
\(575\) | −3.31336 | + | 5.73891i | −0.138177 | + | 0.239329i | ||||
\(576\) | −23.6049 | + | 4.33711i | −0.983536 | + | 0.180713i | ||||
\(577\) | 10.3381 | + | 17.9062i | 0.430383 | + | 0.745445i | 0.996906 | − | 0.0786009i | \(-0.0250453\pi\) |
−0.566523 | + | 0.824046i | \(0.691712\pi\) | |||||||
\(578\) | −0.690598 | − | 0.919619i | −0.0287251 | − | 0.0382511i | ||||
\(579\) | 9.00142 | − | 12.6150i | 0.374086 | − | 0.524262i | ||||
\(580\) | 0.914685 | − | 3.15046i | 0.0379802 | − | 0.130816i | ||||
\(581\) | 3.12175 | − | 0.550448i | 0.129512 | − | 0.0228364i | ||||
\(582\) | −2.00850 | − | 9.96518i | −0.0832552 | − | 0.413070i | ||||
\(583\) | −7.68991 | + | 9.16448i | −0.318484 | + | 0.379554i | ||||
\(584\) | −7.18206 | + | 43.9319i | −0.297196 | + | 1.81791i | ||||
\(585\) | 25.2397 | − | 8.68118i | 1.04353 | − | 0.358923i | ||||
\(586\) | −2.10167 | − | 1.96636i | −0.0868194 | − | 0.0812296i | ||||
\(587\) | 41.3611 | − | 15.0542i | 1.70715 | − | 0.621353i | 0.710546 | − | 0.703651i | \(-0.248448\pi\) |
0.996608 | + | 0.0822975i | \(0.0262258\pi\) | |||||||
\(588\) | −2.51438 | + | 6.31854i | −0.103691 | + | 0.260572i | ||||
\(589\) | −1.55061 | + | 1.30112i | −0.0638920 | + | 0.0536117i | ||||
\(590\) | −5.07297 | + | 7.78344i | −0.208851 | + | 0.320439i | ||||
\(591\) | 4.64078 | − | 4.55894i | 0.190896 | − | 0.187530i | ||||
\(592\) | 18.1815 | − | 9.51330i | 0.747254 | − | 0.390994i | ||||
\(593\) | − | 16.8016i | − | 0.689959i | −0.938610 | − | 0.344980i | \(-0.887886\pi\) | ||
0.938610 | − | 0.344980i | \(-0.112114\pi\) | |||||||
\(594\) | 8.91110 | − | 24.9922i | 0.365627 | − | 1.02544i | ||||
\(595\) | 18.2937i | 0.749970i | ||||||||
\(596\) | 12.3527 | + | 9.03743i | 0.505986 | + | 0.370188i | ||||
\(597\) | 10.4554 | + | 40.4564i | 0.427912 | + | 1.65577i | ||||
\(598\) | −28.4774 | − | 18.5606i | −1.16453 | − | 0.758999i | ||||
\(599\) | 25.1575 | − | 21.1096i | 1.02791 | − | 0.862515i | 0.0373054 | − | 0.999304i | \(-0.488123\pi\) |
0.990600 | + | 0.136789i | \(0.0436781\pi\) | |||||||
\(600\) | 6.20028 | + | 0.520038i | 0.253125 | + | 0.0212304i | ||||
\(601\) | 7.02656 | − | 2.55746i | 0.286619 | − | 0.104321i | −0.194710 | − | 0.980861i | \(-0.562376\pi\) |
0.481329 | + | 0.876540i | \(0.340154\pi\) | |||||||
\(602\) | −20.7258 | + | 22.1521i | −0.844722 | + | 0.902851i | ||||
\(603\) | 1.24254 | + | 0.477448i | 0.0506001 | + | 0.0194432i | ||||
\(604\) | −25.5254 | + | 1.69997i | −1.03862 | + | 0.0691707i | ||||
\(605\) | −2.52926 | + | 3.01426i | −0.102829 | + | 0.122547i | ||||
\(606\) | 11.9788 | − | 35.5848i | 0.486604 | − | 1.44553i | ||||
\(607\) | −23.4259 | + | 4.13062i | −0.950829 | + | 0.167657i | −0.627488 | − | 0.778626i | \(-0.715917\pi\) |
−0.323341 | + | 0.946283i | \(0.604806\pi\) | |||||||
\(608\) | 14.2334 | + | 20.6899i | 0.577240 | + | 0.839088i | ||||
\(609\) | 3.28623 | + | 0.316988i | 0.133165 | + | 0.0128450i | ||||
\(610\) | −23.2090 | + | 17.4290i | −0.939704 | + | 0.705681i | ||||
\(611\) | 15.7817 | + | 27.3346i | 0.638457 | + | 1.10584i | ||||
\(612\) | 17.2028 | + | 18.5833i | 0.695382 | + | 0.751185i | ||||
\(613\) | 10.1363 | − | 17.5565i | 0.409400 | − | 0.709101i | −0.585423 | − | 0.810728i | \(-0.699071\pi\) |
0.994823 | + | 0.101627i | \(0.0324048\pi\) | |||||||
\(614\) | 2.32239 | + | 19.1769i | 0.0937242 | + | 0.773916i | ||||
\(615\) | −31.4406 | + | 21.6007i | −1.26781 | + | 0.871026i | ||||
\(616\) | 0.286145 | + | 22.9186i | 0.0115291 | + | 0.923415i | ||||
\(617\) | −5.77370 | + | 15.8631i | −0.232440 | + | 0.638625i | −0.999997 | − | 0.00235601i | \(-0.999250\pi\) |
0.767557 | + | 0.640981i | \(0.221472\pi\) | |||||||
\(618\) | 0.556673 | + | 22.8523i | 0.0223927 | + | 0.919254i | ||||
\(619\) | −41.1225 | − | 7.25100i | −1.65285 | − | 0.291442i | −0.731986 | − | 0.681320i | \(-0.761406\pi\) |
−0.920867 | + | 0.389878i | \(0.872517\pi\) | |||||||
\(620\) | 1.58038 | + | 0.777295i | 0.0634697 | + | 0.0312169i | ||||
\(621\) | 24.8683 | − | 10.7981i | 0.997931 | − | 0.433312i | ||||
\(622\) | 0.740872 | + | 0.172337i | 0.0297063 | + | 0.00691008i | ||||
\(623\) | −1.84297 | + | 10.4520i | −0.0738369 | + | 0.418750i | ||||
\(624\) | −4.38079 | + | 31.6142i | −0.175372 | + | 1.26558i | ||||
\(625\) | 16.0091 | + | 5.82685i | 0.640365 | + | 0.233074i | ||||
\(626\) | 15.6520 | − | 7.94248i | 0.625581 | − | 0.317446i | ||||
\(627\) | −27.6786 | + | 2.17365i | −1.10538 | + | 0.0868073i | ||||
\(628\) | 8.19635 | + | 0.888931i | 0.327070 | + | 0.0354722i | ||||
\(629\) | −18.7507 | − | 10.8257i | −0.747641 | − | 0.431650i | ||||
\(630\) | −1.88574 | − | 18.2924i | −0.0751298 | − | 0.728789i | ||||
\(631\) | 36.1762 | − | 20.8863i | 1.44015 | − | 0.831471i | 0.442292 | − | 0.896871i | \(-0.354166\pi\) |
0.997859 | + | 0.0653999i | \(0.0208323\pi\) | |||||||
\(632\) | −28.8692 | + | 5.46288i | −1.14835 | + | 0.217302i | ||||
\(633\) | 39.0781 | − | 17.8009i | 1.55322 | − | 0.707524i | ||||
\(634\) | 6.48968 | + | 0.350888i | 0.257738 | + | 0.0139356i | ||||
\(635\) | 2.03484 | + | 11.5402i | 0.0807504 | + | 0.457958i | ||||
\(636\) | 5.44146 | + | 10.1057i | 0.215768 | + | 0.400716i | ||||
\(637\) | 6.92775 | + | 5.81308i | 0.274488 | + | 0.230322i | ||||
\(638\) | −4.14948 | + | 1.26111i | −0.164279 | + | 0.0499279i | ||||
\(639\) | −0.0713662 | + | 4.01091i | −0.00282320 | + | 0.158669i | ||||
\(640\) | 11.4701 | − | 18.5975i | 0.453394 | − | 0.735133i | ||||
\(641\) | 6.20062 | + | 17.0361i | 0.244910 | + | 0.672884i | 0.999854 | + | 0.0170948i | \(0.00544172\pi\) |
−0.754944 | + | 0.655789i | \(0.772336\pi\) | |||||||
\(642\) | −6.22113 | − | 4.96707i | −0.245528 | − | 0.196035i | ||||
\(643\) | −20.4201 | − | 24.3358i | −0.805291 | − | 0.959708i | 0.194484 | − | 0.980906i | \(-0.437697\pi\) |
−0.999775 | + | 0.0211973i | \(0.993252\pi\) | |||||||
\(644\) | −16.9005 | + | 16.2128i | −0.665974 | + | 0.638874i | ||||
\(645\) | −8.54943 | + | 30.8080i | −0.336634 | + | 1.21307i | ||||
\(646\) | 10.3939 | − | 24.3742i | 0.408942 | − | 0.958989i | ||||
\(647\) | 4.08821 | 0.160724 | 0.0803621 | − | 0.996766i | \(-0.474392\pi\) | ||||
0.0803621 | + | 0.996766i | \(0.474392\pi\) | |||||||
\(648\) | −19.1172 | − | 16.8087i | −0.750995 | − | 0.660308i | ||||
\(649\) | 12.2823 | 0.482121 | ||||||||
\(650\) | 3.24566 | − | 7.61123i | 0.127305 | − | 0.298537i | ||||
\(651\) | −0.473948 | + | 1.70788i | −0.0185755 | + | 0.0669372i | ||||
\(652\) | −22.5348 | + | 21.6178i | −0.882530 | + | 0.846618i | ||||
\(653\) | 7.81621 | + | 9.31500i | 0.305872 | + | 0.364524i | 0.896982 | − | 0.442067i | \(-0.145755\pi\) |
−0.591110 | + | 0.806591i | \(0.701310\pi\) | |||||||
\(654\) | 11.2145 | + | 8.95391i | 0.438523 | + | 0.350125i | ||||
\(655\) | 0.509176 | + | 1.39895i | 0.0198952 | + | 0.0546615i | ||||
\(656\) | −6.04884 | − | 45.2110i | −0.236167 | − | 1.76519i | ||||
\(657\) | −41.3032 | + | 22.8765i | −1.61139 | + | 0.892498i | ||||
\(658\) | 20.8067 | − | 6.32357i | 0.811128 | − | 0.246518i | ||||
\(659\) | −10.8065 | − | 9.06773i | −0.420961 | − | 0.353228i | 0.407567 | − | 0.913175i | \(-0.366377\pi\) |
−0.828529 | + | 0.559947i | \(0.810822\pi\) | |||||||
\(660\) | 11.4526 | + | 21.2693i | 0.445791 | + | 0.827905i | ||||
\(661\) | −5.48140 | − | 31.0865i | −0.213202 | − | 1.20913i | −0.884000 | − | 0.467487i | \(-0.845160\pi\) |
0.670799 | − | 0.741640i | \(-0.265952\pi\) | |||||||
\(662\) | 17.3852 | + | 0.939993i | 0.675694 | + | 0.0365339i | ||||
\(663\) | 30.6464 | − | 13.9601i | 1.19021 | − | 0.542166i | ||||
\(664\) | 0.742777 | + | 3.92528i | 0.0288253 | + | 0.152331i | ||||
\(665\) | −16.6642 | + | 9.62110i | −0.646211 | + | 0.373090i | ||||
\(666\) | 19.8654 | + | 8.89213i | 0.769767 | + | 0.344563i | ||||
\(667\) | −3.83768 | − | 2.21569i | −0.148596 | − | 0.0857917i | ||||
\(668\) | −38.0532 | − | 4.12704i | −1.47232 | − | 0.159680i | ||||
\(669\) | 10.7642 | − | 0.845335i | 0.416170 | − | 0.0326825i | ||||
\(670\) | −1.08070 | + | 0.548392i | −0.0417511 | + | 0.0211862i | ||||
\(671\) | 36.0564 | + | 13.1235i | 1.39194 | + | 0.506625i | ||||
\(672\) | 20.5312 | + | 7.87467i | 0.792008 | + | 0.303772i | ||||
\(673\) | 2.89078 | − | 16.3944i | 0.111431 | − | 0.631959i | −0.877024 | − | 0.480447i | \(-0.840475\pi\) |
0.988455 | − | 0.151512i | \(-0.0484143\pi\) | |||||||
\(674\) | −32.8020 | − | 7.63019i | −1.26349 | − | 0.293904i | ||||
\(675\) | 3.63971 | + | 5.50506i | 0.140092 | + | 0.211890i | ||||
\(676\) | 14.7555 | + | 7.25735i | 0.567520 | + | 0.279129i | ||||
\(677\) | 5.20292 | + | 0.917416i | 0.199965 | + | 0.0352592i | 0.272733 | − | 0.962090i | \(-0.412072\pi\) |
−0.0727686 | + | 0.997349i | \(0.523183\pi\) | |||||||
\(678\) | 0.410744 | + | 16.8617i | 0.0157745 | + | 0.647568i | ||||
\(679\) | −3.18558 | + | 8.75231i | −0.122251 | + | 0.335883i | ||||
\(680\) | −23.0533 | + | 0.287827i | −0.884053 | + | 0.0110377i | ||||
\(681\) | −1.87947 | + | 1.29126i | −0.0720214 | + | 0.0494810i | ||||
\(682\) | −0.279919 | − | 2.31140i | −0.0107187 | − | 0.0885081i | ||||
\(683\) | −2.94087 | + | 5.09374i | −0.112529 | + | 0.194907i | −0.916789 | − | 0.399371i | \(-0.869229\pi\) |
0.804260 | + | 0.594277i | \(0.202562\pi\) | |||||||
\(684\) | −7.88065 | + | 25.4439i | −0.301324 | + | 0.972871i | ||||
\(685\) | 2.97352 | + | 5.15029i | 0.113612 | + | 0.196782i | ||||
\(686\) | 22.7481 | − | 17.0829i | 0.868526 | − | 0.652229i | ||||
\(687\) | −4.86400 | − | 0.469180i | −0.185573 | − | 0.0179003i | ||||
\(688\) | −28.2416 | − | 25.7696i | −1.07670 | − | 0.982458i | ||||
\(689\) | 15.0315 | − | 2.65045i | 0.572653 | − | 0.100974i | ||||
\(690\) | −7.87472 | + | 23.3931i | −0.299786 | + | 0.890559i | ||||
\(691\) | −11.2382 | + | 13.3932i | −0.427522 | + | 0.509501i | −0.936206 | − | 0.351452i | \(-0.885688\pi\) |
0.508683 | + | 0.860954i | \(0.330132\pi\) | |||||||
\(692\) | −13.5794 | + | 0.904377i | −0.516213 | + | 0.0343793i | ||||
\(693\) | −18.8981 | + | 15.2928i | −0.717881 | + | 0.580927i | ||||
\(694\) | −16.6054 | + | 17.7481i | −0.630333 | + | 0.673709i | ||||
\(695\) | 21.4657 | − | 7.81288i | 0.814241 | − | 0.296359i | ||||
\(696\) | −0.347755 | + | 4.14620i | −0.0131816 | + | 0.157161i | ||||
\(697\) | −36.8690 | + | 30.9368i | −1.39651 | + | 1.17181i | ||||
\(698\) | 24.1560 | + | 15.7440i | 0.914316 | + | 0.595919i | ||||
\(699\) | 11.2864 | + | 43.6719i | 0.426893 | + | 1.65182i | ||||
\(700\) | −4.60095 | − | 3.36613i | −0.173900 | − | 0.127228i | ||||
\(701\) | 11.8131i | 0.446174i | 0.974798 | + | 0.223087i | \(0.0716135\pi\) | ||||
−0.974798 | + | 0.223087i | \(0.928387\pi\) | |||||||
\(702\) | −29.2052 | + | 17.1182i | −1.10228 | + | 0.646086i | ||||
\(703\) | − | 22.7740i | − | 0.858939i | ||||||
\(704\) | −28.8769 | + | 0.721186i | −1.08834 | + | 0.0271807i | ||||
\(705\) | 16.3499 | − | 16.0616i | 0.615774 | − | 0.604915i | ||||
\(706\) | −12.8115 | + | 19.6566i | −0.482167 | + | 0.739786i | ||||
\(707\) | −26.3532 | + | 22.1129i | −0.991113 | + | 0.831642i | ||||
\(708\) | 4.35680 | − | 10.9485i | 0.163739 | − | 0.411468i | ||||
\(709\) | −17.4760 | + | 6.36073i | −0.656324 | + | 0.238882i | −0.648648 | − | 0.761088i | \(-0.724665\pi\) |
−0.00767535 | + | 0.999971i | \(0.502443\pi\) | |||||||
\(710\) | −2.66693 | − | 2.49522i | −0.100088 | − | 0.0936440i | ||||
\(711\) | −23.5127 | − | 20.4532i | −0.881795 | − | 0.767056i | ||||
\(712\) | −13.2003 | − | 2.15801i | −0.494702 | − | 0.0808748i | ||||
\(713\) | 1.52920 | − | 1.82243i | 0.0572691 | − | 0.0682506i | ||||
\(714\) | −4.58425 | − | 22.7447i | −0.171561 | − | 0.851200i | ||||
\(715\) | 31.6365 | − | 5.57837i | 1.18314 | − | 0.208619i | ||||
\(716\) | 3.89109 | − | 13.4021i | 0.145417 | − | 0.500861i | ||||
\(717\) | 12.6102 | − | 17.6726i | 0.470937 | − | 0.659994i | ||||
\(718\) | 20.5120 | + | 27.3143i | 0.765499 | + | 1.01936i | ||||
\(719\) | 1.76321 | + | 3.05396i | 0.0657565 | + | 0.113894i | 0.897029 | − | 0.441971i | \(-0.145721\pi\) |
−0.831273 | + | 0.555865i | \(0.812387\pi\) | |||||||
\(720\) | 23.0220 | − | 2.66417i | 0.857979 | − | 0.0992877i | ||||
\(721\) | 10.4721 | − | 18.1382i | 0.390001 | − | 0.675502i | ||||
\(722\) | 0.994301 | − | 0.120414i | 0.0370041 | − | 0.00448133i | ||||
\(723\) | −26.3303 | − | 12.5644i | −0.979234 | − | 0.467274i | ||||
\(724\) | 17.9226 | − | 4.40559i | 0.666087 | − | 0.163733i | ||||
\(725\) | 0.368933 | − | 1.01363i | 0.0137018 | − | 0.0376454i | ||||
\(726\) | 2.38930 | − | 4.38146i | 0.0886754 | − | 0.162611i | ||||
\(727\) | −9.08280 | − | 1.60154i | −0.336862 | − | 0.0593979i | 0.00265841 | − | 0.999996i | \(-0.499154\pi\) |
−0.339521 | + | 0.940599i | \(0.610265\pi\) | |||||||
\(728\) | 18.5157 | − | 22.6341i | 0.686238 | − | 0.838876i | ||||
\(729\) | 1.44040 | − | 26.9616i | 0.0533481 | − | 0.998576i | ||||
\(730\) | 9.73911 | − | 41.8682i | 0.360461 | − | 1.54961i | ||||
\(731\) | −7.00494 | + | 39.7270i | −0.259087 | + | 1.46936i | ||||
\(732\) | 24.4883 | − | 27.4856i | 0.905115 | − | 1.01590i | ||||
\(733\) | 31.5032 | + | 11.4662i | 1.16360 | + | 0.423515i | 0.850382 | − | 0.526166i | \(-0.176371\pi\) |
0.313217 | + | 0.949682i | \(0.398593\pi\) | |||||||
\(734\) | 7.36950 | + | 14.5229i | 0.272013 | + | 0.536049i | ||||
\(735\) | 2.82811 | − | 5.92667i | 0.104316 | − | 0.218609i | ||||
\(736\) | −20.6969 | − | 21.0425i | −0.762897 | − | 0.775638i | ||||
\(737\) | 1.38746 | + | 0.801049i | 0.0511077 | + | 0.0295070i | ||||
\(738\) | 33.6774 | − | 34.7351i | 1.23968 | − | 1.27862i | ||||
\(739\) | −15.8745 | + | 9.16512i | −0.583951 | + | 0.337144i | −0.762702 | − | 0.646750i | \(-0.776128\pi\) |
0.178751 | + | 0.983894i | \(0.442794\pi\) | |||||||
\(740\) | −18.1286 | + | 7.99953i | −0.666421 | + | 0.294069i | ||||
\(741\) | 28.8343 | + | 20.5747i | 1.05925 | + | 0.755829i | ||||
\(742\) | 0.567762 | − | 10.5008i | 0.0208432 | − | 0.385495i | ||||
\(743\) | −5.90552 | − | 33.4919i | −0.216653 | − | 1.22870i | −0.878016 | − | 0.478632i | \(-0.841133\pi\) |
0.661363 | − | 0.750066i | \(-0.269978\pi\) | |||||||
\(744\) | −2.15968 | − | 0.570386i | −0.0791779 | − | 0.0209114i | ||||
\(745\) | −11.3221 | − | 9.50038i | −0.414810 | − | 0.348067i | ||||
\(746\) | 5.84973 | + | 19.2476i | 0.214174 | + | 0.704704i | ||||
\(747\) | −2.78098 | + | 3.19697i | −0.101751 | + | 0.116971i | ||||
\(748\) | 16.9597 | + | 25.3243i | 0.620108 | + | 0.925949i | ||||
\(749\) | 2.49467 | + | 6.85405i | 0.0911533 | + | 0.250442i | ||||
\(750\) | −29.3280 | − | 4.43784i | −1.07091 | − | 0.162047i | ||||
\(751\) | 21.2172 | + | 25.2857i | 0.774226 | + | 0.922687i | 0.998657 | − | 0.0518028i | \(-0.0164967\pi\) |
−0.224431 | + | 0.974490i | \(0.572052\pi\) | |||||||
\(752\) | 8.29616 | + | 26.1205i | 0.302530 | + | 0.952517i | ||||
\(753\) | 10.1250 | + | 10.3067i | 0.368974 | + | 0.375597i | ||||
\(754\) | 5.08972 | + | 2.17041i | 0.185357 | + | 0.0790418i | ||||
\(755\) | 24.7033 | 0.899045 | ||||||||
\(756\) | 6.92849 | + | 22.2706i | 0.251987 | + | 0.809973i | ||||
\(757\) | 38.3751 | 1.39477 | 0.697384 | − | 0.716698i | \(-0.254347\pi\) | ||||
0.697384 | + | 0.716698i | \(0.254347\pi\) | |||||||
\(758\) | 20.3705 | + | 8.68660i | 0.739889 | + | 0.315512i | ||||
\(759\) | 31.5928 | − | 8.16475i | 1.14674 | − | 0.296362i | ||||
\(760\) | −12.3864 | − | 20.8485i | −0.449304 | − | 0.756253i | ||||
\(761\) | −10.4284 | − | 12.4280i | −0.378028 | − | 0.450516i | 0.543163 | − | 0.839627i | \(-0.317227\pi\) |
−0.921191 | + | 0.389111i | \(0.872782\pi\) | |||||||
\(762\) | −5.42181 | − | 13.8381i | −0.196411 | − | 0.501301i | ||||
\(763\) | −4.49702 | − | 12.3555i | −0.162803 | − | 0.447298i | ||||
\(764\) | 18.1677 | − | 12.1669i | 0.657285 | − | 0.440184i | ||||
\(765\) | −15.3827 | − | 19.0092i | −0.556163 | − | 0.687279i | ||||
\(766\) | 0.851388 | + | 2.80135i | 0.0307619 | + | 0.101217i | ||||
\(767\) | −12.0041 | − | 10.0726i | −0.433442 | − | 0.363701i | ||||
\(768\) | −9.60042 | + | 25.9968i | −0.346425 | + | 0.938078i | ||||
\(769\) | −1.04135 | − | 5.90580i | −0.0375521 | − | 0.212968i | 0.960258 | − | 0.279114i | \(-0.0900408\pi\) |
−0.997810 | + | 0.0661459i | \(0.978930\pi\) | |||||||
\(770\) | 1.19496 | − | 22.1008i | 0.0430634 | − | 0.796457i | ||||
\(771\) | −1.39675 | + | 14.4801i | −0.0503026 | + | 0.521489i | ||||
\(772\) | −7.22422 | − | 16.3716i | −0.260005 | − | 0.589227i | ||||
\(773\) | −22.2094 | + | 12.8226i | −0.798817 | + | 0.461197i | −0.843057 | − | 0.537824i | \(-0.819247\pi\) |
0.0442404 | + | 0.999021i | \(0.485913\pi\) | |||||||
\(774\) | 2.90934 | − | 40.4463i | 0.104574 | − | 1.45381i | ||||
\(775\) | 0.501516 | + | 0.289551i | 0.0180150 | + | 0.0104010i | ||||
\(776\) | −11.0796 | − | 3.87668i | −0.397733 | − | 0.139165i | ||||
\(777\) | −11.2922 | − | 16.4362i | −0.405106 | − | 0.589646i | ||||
\(778\) | −5.99502 | − | 11.8142i | −0.214932 | − | 0.423561i | ||||
\(779\) | −47.5714 | − | 17.3146i | −1.70442 | − | 0.620359i | ||||
\(780\) | 6.24962 | − | 30.1797i | 0.223772 | − | 1.08061i | ||||
\(781\) | −0.838409 | + | 4.75486i | −0.0300006 | + | 0.170142i | ||||
\(782\) | −7.05584 | + | 30.3329i | −0.252316 | + | 1.08470i | ||||
\(783\) | −3.68130 | + | 2.43392i | −0.131559 | + | 0.0869811i | ||||
\(784\) | 4.79337 | + | 6.21973i | 0.171192 | + | 0.222133i | ||||
\(785\) | −7.84028 | − | 1.38245i | −0.279832 | − | 0.0493419i | ||||
\(786\) | −0.983628 | − | 1.61173i | −0.0350849 | − | 0.0574885i | ||||
\(787\) | −3.24965 | + | 8.92834i | −0.115837 | + | 0.318261i | −0.984040 | − | 0.177950i | \(-0.943053\pi\) |
0.868202 | + | 0.496211i | \(0.165276\pi\) | |||||||
\(788\) | −1.79312 | − | 7.29468i | −0.0638774 | − | 0.259862i | ||||
\(789\) | 3.85044 | + | 49.0304i | 0.137079 | + | 1.74553i | ||||
\(790\) | 28.1665 | − | 3.41107i | 1.00212 | − | 0.121360i | ||||
\(791\) | 7.72689 | − | 13.3834i | 0.274736 | − | 0.475857i | ||||
\(792\) | −19.5690 | − | 23.5743i | −0.695353 | − | 0.837677i | ||||
\(793\) | −24.4772 | − | 42.3958i | −0.869212 | − | 1.50552i | ||||
\(794\) | 4.07865 | + | 5.43125i | 0.144746 | + | 0.192748i | ||||
\(795\) | −4.59447 | − | 10.0862i | −0.162949 | − | 0.357719i | ||||
\(796\) | 46.3364 | + | 13.4530i | 1.64235 | + | 0.476829i | ||||
\(797\) | −24.5731 | + | 4.33289i | −0.870423 | + | 0.153479i | −0.590983 | − | 0.806684i | \(-0.701260\pi\) |
−0.279440 | + | 0.960163i | \(0.590149\pi\) | |||||||
\(798\) | 18.3078 | − | 16.1379i | 0.648089 | − | 0.571276i | ||||
\(799\) | 18.5879 | − | 22.1522i | 0.657591 | − | 0.783687i | ||||
\(800\) | 4.16952 | − | 5.85096i | 0.147415 | − | 0.206863i | ||||
\(801\) | −6.87375 | − | 12.4105i | −0.242872 | − | 0.438502i | ||||
\(802\) | 12.0369 | + | 11.2619i | 0.425039 | + | 0.397673i | ||||
\(803\) | −53.4003 | + | 19.4361i | −1.88445 | + | 0.685885i | ||||
\(804\) | 1.20622 | − | 0.952635i | 0.0425402 | − | 0.0335968i | ||||
\(805\) | 17.3243 | − | 14.5368i | 0.610602 | − | 0.512356i | ||||
\(806\) | −1.62199 | + | 2.48861i | −0.0571320 | + | 0.0876574i | ||||
\(807\) | 39.5278 | + | 10.9692i | 1.39145 | + | 0.386135i | ||||
\(808\) | −28.2808 | − | 32.8616i | −0.994914 | − | 1.15607i | ||||
\(809\) | − | 36.3141i | − | 1.27674i | −0.769731 | − | 0.638368i | \(-0.779610\pi\) | ||
0.769731 | − | 0.638368i | \(-0.220390\pi\) | |||||||
\(810\) | 17.3411 | + | 17.4222i | 0.609306 | + | 0.612154i | ||||
\(811\) | 29.8220i | 1.04719i | 0.851966 | + | 0.523596i | \(0.175410\pi\) | ||||
−0.851966 | + | 0.523596i | \(0.824590\pi\) | |||||||
\(812\) | 2.25097 | − | 3.07671i | 0.0789936 | − | 0.107971i | ||||
\(813\) | −32.1497 | − | 8.92176i | −1.12754 | − | 0.312900i | ||||
\(814\) | 21.9457 | + | 14.3035i | 0.769198 | + | 0.501336i | ||||
\(815\) | 23.0998 | − | 19.3831i | 0.809152 | − | 0.678959i | ||||
\(816\) | 28.5902 | − | 6.13481i | 1.00086 | − | 0.214761i | ||||
\(817\) | −39.8724 | + | 14.5124i | −1.39496 | + | 0.507724i | ||||
\(818\) | −14.2636 | + | 15.2451i | −0.498715 | + | 0.533034i | ||||
\(819\) | 31.0116 | + | 0.551791i | 1.08363 | + | 0.0192811i | ||||
\(820\) | 2.92700 | + | 43.9497i | 0.102215 | + | 1.53479i | ||||
\(821\) | −10.6400 | + | 12.6803i | −0.371340 | + | 0.442546i | −0.919061 | − | 0.394115i | \(-0.871051\pi\) |
0.547721 | + | 0.836661i | \(0.315496\pi\) | |||||||
\(822\) | −4.98762 | − | 5.65826i | −0.173963 | − | 0.197354i | ||||
\(823\) | −6.94477 | + | 1.22455i | −0.242079 | + | 0.0426851i | −0.293371 | − | 0.955999i | \(-0.594777\pi\) |
0.0512920 | + | 0.998684i | \(0.483666\pi\) | |||||||
\(824\) | 23.0220 | + | 12.9113i | 0.802011 | + | 0.449786i | ||||
\(825\) | 3.29268 | + | 7.22837i | 0.114637 | + | 0.251660i | ||||
\(826\) | −8.63313 | + | 6.48314i | −0.300385 | + | 0.225577i | ||||
\(827\) | −16.9066 | − | 29.2831i | −0.587899 | − | 1.01827i | −0.994507 | − | 0.104669i | \(-0.966622\pi\) |
0.406608 | − | 0.913603i | \(-0.366712\pi\) | |||||||
\(828\) | 3.92859 | − | 31.0581i | 0.136528 | − | 1.07934i | ||||
\(829\) | 4.61190 | − | 7.98804i | 0.160178 | − | 0.277436i | −0.774755 | − | 0.632262i | \(-0.782127\pi\) |
0.934932 | + | 0.354826i | \(0.115460\pi\) | |||||||
\(830\) | −0.463796 | − | 3.82974i | −0.0160986 | − | 0.132932i | ||||
\(831\) | −3.99426 | − | 50.8617i | −0.138559 | − | 1.76437i | ||||
\(832\) | 28.8142 | + | 22.9769i | 0.998954 | + | 0.796580i | ||||
\(833\) | 2.83380 | − | 7.78581i | 0.0981855 | − | 0.269762i | ||||
\(834\) | −24.7306 | + | 15.0929i | −0.856352 | + | 0.522626i | ||||
\(835\) | 36.4001 | + | 6.41831i | 1.25968 | + | 0.222115i | ||||
\(836\) | −14.1491 | + | 28.7677i | −0.489356 | + | 0.994951i | ||||
\(837\) | −0.943629 | − | 2.17321i | −0.0326166 | − | 0.0751171i | ||||
\(838\) | −36.9265 | − | 8.58960i | −1.27560 | − | 0.296723i | ||||
\(839\) | 2.67770 | − | 15.1860i | 0.0924444 | − | 0.524278i | −0.903056 | − | 0.429523i | \(-0.858682\pi\) |
0.995501 | − | 0.0947558i | \(-0.0302070\pi\) | |||||||
\(840\) | −19.2768 | − | 8.90485i | −0.665114 | − | 0.307246i | ||||
\(841\) | −26.5733 | − | 9.67187i | −0.916319 | − | 0.333513i | ||||
\(842\) | 19.7960 | − | 10.0453i | 0.682214 | − | 0.346183i | ||||
\(843\) | −4.10664 | − | 5.97736i | −0.141440 | − | 0.205871i | ||||
\(844\) | 5.34631 | − | 49.2955i | 0.184028 | − | 1.69682i | ||||
\(845\) | −13.7515 | − | 7.93943i | −0.473066 | − | 0.273125i | ||||
\(846\) | −16.3031 | + | 24.0667i | −0.560512 | + | 0.827429i | ||||
\(847\) | −3.95993 | + | 2.28627i | −0.136065 | + | 0.0785571i | ||||
\(848\) | 13.2417 | + | 0.550263i | 0.454722 | + | 0.0188961i | ||||
\(849\) | 1.52590 | − | 15.8191i | 0.0523688 | − | 0.542909i | ||||
\(850\) | −7.56973 | − | 0.409285i | −0.259639 | − | 0.0140384i | ||||
\(851\) | 4.64791 | + | 26.3596i | 0.159328 | + | 0.903596i | ||||
\(852\) | 3.94109 | + | 2.43402i | 0.135020 | + | 0.0833881i | ||||
\(853\) | −15.2752 | − | 12.8174i | −0.523013 | − | 0.438860i | 0.342668 | − | 0.939457i | \(-0.388669\pi\) |
−0.865680 | + | 0.500597i | \(0.833114\pi\) | |||||||
\(854\) | −32.2710 | + | 9.80782i | −1.10429 | + | 0.335617i | ||||
\(855\) | 9.22585 | − | 24.0099i | 0.315517 | − | 0.821122i | ||||
\(856\) | −8.59804 | + | 3.25156i | −0.293875 | + | 0.111136i | ||||
\(857\) | 18.7596 | + | 51.5416i | 0.640817 | + | 1.76063i | 0.649146 | + | 0.760664i | \(0.275126\pi\) |
−0.00832944 | + | 0.999965i | \(0.502651\pi\) | |||||||
\(858\) | −37.9360 | + | 14.8635i | −1.29511 | + | 0.507431i | ||||
\(859\) | 15.0520 | + | 17.9383i | 0.513569 | + | 0.612048i | 0.959048 | − | 0.283245i | \(-0.0914109\pi\) |
−0.445479 | + | 0.895293i | \(0.646966\pi\) | |||||||
\(860\) | 25.5576 | + | 26.6417i | 0.871507 | + | 0.908475i | ||||
\(861\) | −42.9179 | + | 11.0916i | −1.46264 | + | 0.378000i | ||||
\(862\) | 4.11357 | − | 9.64650i | 0.140109 | − | 0.328561i | ||||
\(863\) | −50.0669 | −1.70430 | −0.852149 | − | 0.523299i | \(-0.824701\pi\) | ||||
−0.852149 | + | 0.523299i | \(0.824701\pi\) | |||||||
\(864\) | −27.9558 | + | 9.08150i | −0.951075 | + | 0.308959i | ||||
\(865\) | 13.1421 | 0.446843 | ||||||||
\(866\) | −2.59871 | + | 6.09411i | −0.0883079 | + | 0.207086i | ||||
\(867\) | −0.987077 | − | 1.00480i | −0.0335229 | − | 0.0341247i | ||||
\(868\) | 1.41682 | + | 1.47692i | 0.0480899 | + | 0.0501298i | ||||
\(869\) | −24.1097 | − | 28.7328i | −0.817866 | − | 0.974695i | ||||
\(870\) | 0.601127 | − | 3.97262i | 0.0203801 | − | 0.134684i | ||||
\(871\) | −0.699096 | − | 1.92075i | −0.0236880 | − | 0.0650822i | ||||
\(872\) | 15.4993 | − | 5.86143i | 0.524872 | − | 0.198493i | ||||
\(873\) | −4.04942 | − | 11.7733i | −0.137052 | − | 0.398466i | ||||
\(874\) | −31.3419 | + | 9.52545i | −1.06016 | + | 0.322203i | ||||
\(875\) | 20.8189 | + | 17.4691i | 0.703807 | + | 0.590564i | ||||
\(876\) | −1.61688 | + | 54.4956i | −0.0546295 | + | 1.84124i | ||||
\(877\) | 2.32026 | + | 13.1589i | 0.0783496 | + | 0.444343i | 0.998595 | + | 0.0529998i | \(0.0168783\pi\) |
−0.920245 | + | 0.391343i | \(0.872011\pi\) | |||||||
\(878\) | 13.3789 | + | 0.723380i | 0.451516 | + | 0.0244129i | ||||
\(879\) | −2.86939 | − | 2.04745i | −0.0967820 | − | 0.0690586i | ||||
\(880\) | 27.8696 | + | 1.15813i | 0.939485 | + | 0.0390406i | ||||
\(881\) | 16.7840 | − | 9.69023i | 0.565466 | − | 0.326472i | −0.189870 | − | 0.981809i | \(-0.560807\pi\) |
0.755337 | + | 0.655337i | \(0.227473\pi\) | |||||||
\(882\) | −2.03103 | + | 8.07738i | −0.0683884 | + | 0.271979i | ||||
\(883\) | −30.9974 | − | 17.8964i | −1.04315 | − | 0.602261i | −0.122424 | − | 0.992478i | \(-0.539067\pi\) |
−0.920723 | + | 0.390217i | \(0.872400\pi\) | |||||||
\(884\) | 4.19277 | − | 38.6592i | 0.141018 | − | 1.30025i | ||||
\(885\) | −4.90040 | + | 10.2694i | −0.164725 | + | 0.345204i | ||||
\(886\) | −10.7452 | + | 5.45256i | −0.360993 | + | 0.183182i | ||||
\(887\) | 49.0620 | + | 17.8571i | 1.64734 | + | 0.599583i | 0.988300 | − | 0.152525i | \(-0.0487403\pi\) |
0.659041 | + | 0.752107i | \(0.270963\pi\) | |||||||
\(888\) | 20.5348 | − | 14.4888i | 0.689104 | − | 0.486211i | ||||
\(889\) | −2.36462 | + | 13.4104i | −0.0793069 | + | 0.449772i | ||||
\(890\) | 12.5802 | + | 2.92633i | 0.421690 | + | 0.0980908i | ||||
\(891\) | 6.77790 | − | 31.7819i | 0.227068 | − | 1.06473i | ||||
\(892\) | 5.50259 | − | 11.1878i | 0.184240 | − | 0.374594i | ||||
\(893\) | 29.9548 | + | 5.28183i | 1.00240 | + | 0.176750i | ||||
\(894\) | 16.4576 | + | 8.97467i | 0.550424 | + | 0.300158i | ||||
\(895\) | −4.60913 | + | 12.6635i | −0.154066 | + | 0.423294i | ||||
\(896\) | 19.9167 | − | 15.7495i | 0.665371 | − | 0.526152i | ||||
\(897\) | −37.5730 | − | 17.9292i | −1.25453 | − | 0.598639i | ||||
\(898\) | 2.30545 | + | 19.0370i | 0.0769338 | + | 0.635272i | ||||
\(899\) | −0.193626 | + | 0.335370i | −0.00645779 | + | 0.0111852i | ||||
\(900\) | 7.61139 | − | 0.371041i | 0.253713 | − | 0.0123680i | ||||
\(901\) | −6.99197 | − | 12.1104i | −0.232936 | − | 0.403457i | ||||
\(902\) | 46.5625 | − | 34.9666i | 1.55036 | − | 1.16426i | ||||
\(903\) | −21.5805 | + | 30.2439i | −0.718154 | + | 1.00646i | ||||
\(904\) | 16.9869 | + | 9.52665i | 0.564977 | + | 0.316852i | ||||
\(905\) | −17.5514 | + | 3.09479i | −0.583428 | + | 0.102874i | ||||
\(906\) | −30.7138 | + | 6.19043i | −1.02040 | + | 0.205663i | ||||
\(907\) | −14.6929 | + | 17.5103i | −0.487871 | + | 0.581421i | −0.952675 | − | 0.303992i | \(-0.901680\pi\) |
0.464804 | + | 0.885414i | \(0.346125\pi\) | |||||||
\(908\) | 0.174971 | + | 2.62724i | 0.00580663 | + | 0.0871880i | ||||
\(909\) | 8.78967 | − | 45.1375i | 0.291535 | − | 1.49712i | ||||
\(910\) | −19.2926 | + | 20.6202i | −0.639544 | + | 0.683554i | ||||
\(911\) | −52.7277 | + | 19.1913i | −1.74695 | + | 0.635837i | −0.999591 | − | 0.0285870i | \(-0.990899\pi\) |
−0.747356 | + | 0.664424i | \(0.768677\pi\) | |||||||
\(912\) | 20.6246 | + | 22.8171i | 0.682949 | + | 0.755550i | ||||
\(913\) | −3.90674 | + | 3.27815i | −0.129294 | + | 0.108491i | ||||
\(914\) | −10.3893 | − | 6.77135i | −0.343646 | − | 0.223976i | ||||
\(915\) | −25.3586 | + | 24.9114i | −0.838331 | + | 0.823547i | ||||
\(916\) | −3.33170 | + | 4.55390i | −0.110083 | + | 0.150465i | ||||
\(917\) | 1.73000i | 0.0571298i | ||||||||
\(918\) | 23.8890 | + | 19.7795i | 0.788454 | + | 0.652821i | ||||
\(919\) | 44.1580i | 1.45664i | 0.685237 | + | 0.728320i | \(0.259698\pi\) | ||||
−0.685237 | + | 0.728320i | \(0.740302\pi\) | |||||||
\(920\) | 18.5915 | + | 21.6029i | 0.612944 | + | 0.712227i | ||||
\(921\) | 5.91972 | + | 22.9058i | 0.195061 | + | 0.754773i | ||||
\(922\) | −2.70865 | + | 4.15587i | −0.0892046 | + | 0.136866i | ||||
\(923\) | 4.71885 | − | 3.95958i | 0.155323 | − | 0.130331i | ||||
\(924\) | 4.05257 | + | 27.7775i | 0.133320 | + | 0.913813i | ||||
\(925\) | −6.12252 | + | 2.22842i | −0.201307 | + | 0.0732698i | ||||
\(926\) | 10.4384 | + | 9.76635i | 0.343028 | + | 0.320942i | ||||
\(927\) | 4.37028 | + | 27.6533i | 0.143539 | + | 0.908254i | ||||
\(928\) | 3.91261 | + | 2.78821i | 0.128438 | + | 0.0915273i | ||||
\(929\) | 7.60607 | − | 9.06456i | 0.249547 | − | 0.297398i | −0.626700 | − | 0.779260i | \(-0.715595\pi\) |
0.876247 | + | 0.481862i | \(0.160039\pi\) | |||||||
\(930\) | 2.04429 | + | 0.688162i | 0.0670350 | + | 0.0225657i | ||||
\(931\) | 8.58266 | − | 1.51335i | 0.281285 | − | 0.0495982i | ||||
\(932\) | 50.0193 | + | 14.5223i | 1.63844 | + | 0.475693i | ||||
\(933\) | 0.927301 | + | 0.0894470i | 0.0303585 | + | 0.00292836i | ||||
\(934\) | −20.2028 | − | 26.9026i | −0.661056 | − | 0.880280i | ||||
\(935\) | −14.7159 | − | 25.4887i | −0.481261 | − | 0.833569i | ||||
\(936\) | −0.207426 | + | 39.0887i | −0.00677992 | + | 1.27766i | ||||
\(937\) | −28.1623 | + | 48.7786i | −0.920023 | + | 1.59353i | −0.120648 | + | 0.992695i | \(0.538497\pi\) |
−0.799375 | + | 0.600832i | \(0.794836\pi\) | |||||||
\(938\) | −1.39807 | + | 0.169311i | −0.0456485 | + | 0.00552820i | ||||
\(939\) | 17.7180 | − | 12.1728i | 0.578204 | − | 0.397245i | ||||
\(940\) | −6.31736 | − | 25.6999i | −0.206049 | − | 0.838238i | ||||
\(941\) | 5.11817 | − | 14.0621i | 0.166848 | − | 0.458410i | −0.827887 | − | 0.560895i | \(-0.810457\pi\) |
0.994735 | + | 0.102485i | \(0.0326793\pi\) | |||||||
\(942\) | 10.0943 | − | 0.245894i | 0.328891 | − | 0.00801165i | ||||
\(943\) | 58.5948 | + | 10.3318i | 1.90811 | + | 0.336451i | ||||
\(944\) | −8.30572 | − | 10.7772i | −0.270328 | − | 0.350769i | ||||
\(945\) | −5.24663 | − | 21.9027i | −0.170673 | − | 0.712494i | ||||
\(946\) | 11.0577 | − | 47.5369i | 0.359517 | − | 1.54556i | ||||
\(947\) | 8.22054 | − | 46.6210i | 0.267132 | − | 1.51498i | −0.495764 | − | 0.868457i | \(-0.665112\pi\) |
0.762895 | − | 0.646522i | \(-0.223777\pi\) | |||||||
\(948\) | −34.1648 | + | 11.2993i | −1.10962 | + | 0.366984i | ||||
\(949\) | 68.1302 | + | 24.7974i | 2.21160 | + | 0.804956i | ||||
\(950\) | −3.60827 | − | 7.11071i | −0.117068 | − | 0.230702i | ||||
\(951\) | 7.93538 | − | 0.623179i | 0.257322 | − | 0.0202080i | ||||
\(952\) | −25.2882 | − | 8.84821i | −0.819595 | − | 0.286772i | ||||
\(953\) | 44.2722 | + | 25.5606i | 1.43412 | + | 0.827989i | 0.997432 | − | 0.0716246i | \(-0.0228183\pi\) |
0.436687 | + | 0.899613i | \(0.356152\pi\) | |||||||
\(954\) | 8.23984 | + | 11.3889i | 0.266775 | + | 0.368728i | ||||
\(955\) | −18.2856 | + | 10.5572i | −0.591710 | + | 0.341624i | ||||
\(956\) | −10.1205 | − | 22.9352i | −0.327321 | − | 0.741778i | ||||
\(957\) | −4.83370 | + | 2.20186i | −0.156251 | + | 0.0711760i | ||||
\(958\) | 0.309121 | − | 5.71719i | 0.00998725 | − | 0.184714i | ||||
\(959\) | 1.20006 | + | 6.80586i | 0.0387519 | + | 0.219773i | ||||
\(960\) | 10.9184 | − | 24.4323i | 0.352389 | − | 0.788548i | ||||
\(961\) | 23.5881 | + | 19.7928i | 0.760907 | + | 0.638477i | ||||
\(962\) | −9.71849 | − | 31.9771i | −0.313337 | − | 1.03098i | ||||
\(963\) | −8.35563 | − | 5.02441i | −0.269257 | − | 0.161909i | ||||
\(964\) | −27.9906 | + | 18.7453i | −0.901518 | + | 0.603746i | ||||
\(965\) | 5.91011 | + | 16.2379i | 0.190253 | + | 0.522716i | ||||
\(966\) | −17.8966 | + | 22.4151i | −0.575815 | + | 0.721193i | ||||
\(967\) | 7.16709 | + | 8.54141i | 0.230478 | + | 0.274673i | 0.868872 | − | 0.495037i | \(-0.164845\pi\) |
−0.638394 | + | 0.769710i | \(0.720401\pi\) | |||||||
\(968\) | −2.94340 | − | 4.95423i | −0.0946044 | − | 0.159235i | ||||
\(969\) | 8.67798 | − | 31.2713i | 0.278777 | − | 1.00458i | ||||
\(970\) | 10.4266 | + | 4.44621i | 0.334777 | + | 0.142759i | ||||
\(971\) | −27.0688 | −0.868678 | −0.434339 | − | 0.900749i | \(-0.643018\pi\) | ||||
−0.434339 | + | 0.900749i | \(0.643018\pi\) | |||||||
\(972\) | −25.9262 | − | 17.3156i | −0.831584 | − | 0.555399i | ||||
\(973\) | 26.5454 | 0.851008 | ||||||||
\(974\) | −42.9533 | − | 18.3166i | −1.37631 | − | 0.586902i | ||||
\(975\) | 2.70984 | − | 9.76496i | 0.0867843 | − | 0.312729i | ||||
\(976\) | −12.8673 | − | 40.5127i | −0.411872 | − | 1.29678i | ||||
\(977\) | −22.5723 | − | 26.9006i | −0.722151 | − | 0.860626i | 0.272687 | − | 0.962103i | \(-0.412088\pi\) |
−0.994838 | + | 0.101477i | \(0.967643\pi\) | |||||||
\(978\) | −23.8630 | + | 29.8877i | −0.763053 | + | 0.955704i | ||||
\(979\) | −5.84001 | − | 16.0453i | −0.186647 | − | 0.512810i | ||||
\(980\) | −4.21938 | − | 6.30040i | −0.134783 | − | 0.201259i | ||||
\(981\) | 15.0623 | + | 9.05727i | 0.480902 | + | 0.289176i | ||||
\(982\) | 15.2554 | + | 50.1952i | 0.486818 | + | 1.60179i | ||||
\(983\) | 21.3492 | + | 17.9141i | 0.680935 | + | 0.571372i | 0.916279 | − | 0.400540i | \(-0.131177\pi\) |
−0.235344 | + | 0.971912i | \(0.575622\pi\) | |||||||
\(984\) | −14.6526 | − | 53.9095i | −0.467107 | − | 1.71857i | ||||
\(985\) | 1.25961 | + | 7.14361i | 0.0401346 | + | 0.227614i | ||||
\(986\) | 0.273694 | − | 5.06197i | 0.00871619 | − | 0.161206i | ||||
\(987\) | 24.2375 | − | 11.0407i | 0.771490 | − | 0.351431i | ||||
\(988\) | 37.4208 | − | 16.5125i | 1.19051 | − | 0.525333i | ||||
\(989\) | 43.1882 | − | 24.9347i | 1.37330 | − | 0.792877i | ||||
\(990\) | 17.3423 | + | 23.9700i | 0.551174 | + | 0.761816i | ||||
\(991\) | −30.9112 | − | 17.8466i | −0.981928 | − | 0.566916i | −0.0790761 | − | 0.996869i | \(-0.525197\pi\) |
−0.902852 | + | 0.429952i | \(0.858530\pi\) | |||||||
\(992\) | −1.83888 | + | 1.80867i | −0.0583845 | + | 0.0574254i | ||||
\(993\) | 21.2580 | − | 1.66943i | 0.674604 | − | 0.0529778i | ||||
\(994\) | −1.92052 | − | 3.78471i | −0.0609151 | − | 0.120044i | ||||
\(995\) | −43.7826 | − | 15.9356i | −1.38800 | − | 0.505192i | ||||
\(996\) | 1.53634 | + | 4.64532i | 0.0486808 | + | 0.147193i | ||||
\(997\) | −1.54040 | + | 8.73605i | −0.0487850 | + | 0.276673i | −0.999436 | − | 0.0335898i | \(-0.989306\pi\) |
0.950651 | + | 0.310263i | \(0.100417\pi\) | |||||||
\(998\) | 2.33037 | − | 10.0182i | 0.0737666 | − | 0.317121i | ||||
\(999\) | 25.5547 | + | 7.58372i | 0.808514 | + | 0.239938i |
(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 | 108.2.l.a.83.12 | yes | 96 | |
3.2 | odd | 2 | 324.2.l.a.251.5 | 96 | |||
4.3 | odd | 2 | inner | 108.2.l.a.83.10 | ✓ | 96 | |
9.2 | odd | 6 | 972.2.l.a.431.16 | 96 | |||
9.4 | even | 3 | 972.2.l.c.107.10 | 96 | |||
9.5 | odd | 6 | 972.2.l.b.107.7 | 96 | |||
9.7 | even | 3 | 972.2.l.d.431.1 | 96 | |||
12.11 | even | 2 | 324.2.l.a.251.7 | 96 | |||
27.4 | even | 9 | 972.2.l.b.863.15 | 96 | |||
27.5 | odd | 18 | 972.2.l.d.539.12 | 96 | |||
27.13 | even | 9 | 324.2.l.a.71.7 | 96 | |||
27.14 | odd | 18 | inner | 108.2.l.a.95.10 | yes | 96 | |
27.22 | even | 9 | 972.2.l.a.539.5 | 96 | |||
27.23 | odd | 18 | 972.2.l.c.863.2 | 96 | |||
36.7 | odd | 6 | 972.2.l.d.431.12 | 96 | |||
36.11 | even | 6 | 972.2.l.a.431.5 | 96 | |||
36.23 | even | 6 | 972.2.l.b.107.15 | 96 | |||
36.31 | odd | 6 | 972.2.l.c.107.2 | 96 | |||
108.23 | even | 18 | 972.2.l.c.863.10 | 96 | |||
108.31 | odd | 18 | 972.2.l.b.863.7 | 96 | |||
108.59 | even | 18 | 972.2.l.d.539.1 | 96 | |||
108.67 | odd | 18 | 324.2.l.a.71.5 | 96 | |||
108.95 | even | 18 | inner | 108.2.l.a.95.12 | yes | 96 | |
108.103 | odd | 18 | 972.2.l.a.539.16 | 96 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
108.2.l.a.83.10 | ✓ | 96 | 4.3 | odd | 2 | inner | |
108.2.l.a.83.12 | yes | 96 | 1.1 | even | 1 | trivial | |
108.2.l.a.95.10 | yes | 96 | 27.14 | odd | 18 | inner | |
108.2.l.a.95.12 | yes | 96 | 108.95 | even | 18 | inner | |
324.2.l.a.71.5 | 96 | 108.67 | odd | 18 | |||
324.2.l.a.71.7 | 96 | 27.13 | even | 9 | |||
324.2.l.a.251.5 | 96 | 3.2 | odd | 2 | |||
324.2.l.a.251.7 | 96 | 12.11 | even | 2 | |||
972.2.l.a.431.5 | 96 | 36.11 | even | 6 | |||
972.2.l.a.431.16 | 96 | 9.2 | odd | 6 | |||
972.2.l.a.539.5 | 96 | 27.22 | even | 9 | |||
972.2.l.a.539.16 | 96 | 108.103 | odd | 18 | |||
972.2.l.b.107.7 | 96 | 9.5 | odd | 6 | |||
972.2.l.b.107.15 | 96 | 36.23 | even | 6 | |||
972.2.l.b.863.7 | 96 | 108.31 | odd | 18 | |||
972.2.l.b.863.15 | 96 | 27.4 | even | 9 | |||
972.2.l.c.107.2 | 96 | 36.31 | odd | 6 | |||
972.2.l.c.107.10 | 96 | 9.4 | even | 3 | |||
972.2.l.c.863.2 | 96 | 27.23 | odd | 18 | |||
972.2.l.c.863.10 | 96 | 108.23 | even | 18 | |||
972.2.l.d.431.1 | 96 | 9.7 | even | 3 | |||
972.2.l.d.431.12 | 96 | 36.7 | odd | 6 | |||
972.2.l.d.539.1 | 96 | 108.59 | even | 18 | |||
972.2.l.d.539.12 | 96 | 27.5 | odd | 18 |