Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [630,2,Mod(53,630)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(630, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 9, 8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("630.53");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 630 = 2 \cdot 3^{2} \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 630.ce (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: | \(5.03057532734\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 233.3 | ||
Character | \(\chi\) | \(=\) | 630.233 |
Dual form | 630.2.ce.c.557.3 |
$q$-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 \(\left(\mathbb{Z}/630\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(281\) | \(451\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(-1\) | \(e\left(\frac{1}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.965926 | + | 0.258819i | −0.683013 | + | 0.183013i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 0.866025 | − | 0.500000i | 0.433013 | − | 0.250000i | ||||
\(5\) | 0.915403 | + | 2.04011i | 0.409381 | + | 0.912364i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −2.36324 | − | 1.18959i | −0.893219 | − | 0.449622i | ||||
\(8\) | −0.707107 | + | 0.707107i | −0.250000 | + | 0.250000i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −1.41223 | − | 1.73367i | −0.446586 | − | 0.548234i | ||||
\(11\) | −1.10233 | + | 0.636431i | −0.332365 | + | 0.191891i | −0.656891 | − | 0.753986i | \(-0.728129\pi\) |
0.324525 | + | 0.945877i | \(0.394795\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 2.15117 | + | 2.15117i | 0.596628 | + | 0.596628i | 0.939414 | − | 0.342786i | \(-0.111370\pi\) |
−0.342786 | + | 0.939414i | \(0.611370\pi\) | |||||||
\(14\) | 2.59060 | + | 0.537402i | 0.692366 | + | 0.143627i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 0.500000 | − | 0.866025i | 0.125000 | − | 0.216506i | ||||
\(17\) | −1.55421 | + | 5.80038i | −0.376950 | + | 1.40680i | 0.473524 | + | 0.880781i | \(0.342982\pi\) |
−0.850474 | + | 0.526017i | \(0.823685\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −6.20956 | − | 3.58509i | −1.42457 | − | 0.822476i | −0.427885 | − | 0.903833i | \(-0.640741\pi\) |
−0.996685 | + | 0.0813571i | \(0.974075\pi\) | |||||||
\(20\) | 1.81282 | + | 1.30908i | 0.405358 | + | 0.292720i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 0.900050 | − | 0.900050i | 0.191891 | − | 0.191891i | ||||
\(23\) | 1.11101 | + | 4.14634i | 0.231661 | + | 0.864571i | 0.979626 | + | 0.200833i | \(0.0643647\pi\) |
−0.747964 | + | 0.663739i | \(0.768969\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −3.32407 | + | 3.73504i | −0.664815 | + | 0.747008i | ||||
\(26\) | −2.63464 | − | 1.52111i | −0.516695 | − | 0.298314i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −2.64142 | + | 0.151406i | −0.499181 | + | 0.0286130i | ||||
\(29\) | 1.25304 | 0.232684 | 0.116342 | − | 0.993209i | \(-0.462883\pi\) | ||||
0.116342 | + | 0.993209i | \(0.462883\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −2.35619 | − | 4.08105i | −0.423185 | − | 0.732978i | 0.573064 | − | 0.819510i | \(-0.305755\pi\) |
−0.996249 | + | 0.0865329i | \(0.972421\pi\) | |||||||
\(32\) | −0.258819 | + | 0.965926i | −0.0457532 | + | 0.170753i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | − | 6.00499i | − | 1.02985i | ||||||
\(35\) | 0.263570 | − | 5.91021i | 0.0445515 | − | 0.999007i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 0.535773 | + | 1.99953i | 0.0880805 | + | 0.328721i | 0.995880 | − | 0.0906841i | \(-0.0289054\pi\) |
−0.907799 | + | 0.419405i | \(0.862239\pi\) | |||||||
\(38\) | 6.92586 | + | 1.85578i | 1.12352 | + | 0.301047i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −2.08986 | − | 0.795286i | −0.330436 | − | 0.125746i | ||||
\(41\) | 0.655854i | 0.102427i | 0.998688 | + | 0.0512136i | \(0.0163089\pi\) | ||||
−0.998688 | + | 0.0512136i | \(0.983691\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 7.20489 | + | 7.20489i | 1.09874 | + | 1.09874i | 0.994559 | + | 0.104177i | \(0.0332208\pi\) |
0.104177 | + | 0.994559i | \(0.466779\pi\) | |||||||
\(44\) | −0.636431 | + | 1.10233i | −0.0959456 | + | 0.166183i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −2.14630 | − | 3.71751i | −0.316455 | − | 0.548116i | ||||
\(47\) | −10.4704 | + | 2.80555i | −1.52727 | + | 0.409231i | −0.922128 | − | 0.386885i | \(-0.873551\pi\) |
−0.605144 | + | 0.796116i | \(0.706884\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 4.16977 | + | 5.62255i | 0.595681 | + | 0.803221i | ||||
\(50\) | 2.24411 | − | 4.46811i | 0.317365 | − | 0.631886i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 2.93856 | + | 0.787384i | 0.407505 | + | 0.109191i | ||||
\(53\) | −13.2647 | − | 3.55426i | −1.82204 | − | 0.488215i | −0.825006 | − | 0.565124i | \(-0.808828\pi\) |
−0.997038 | + | 0.0769086i | \(0.975495\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −2.30747 | − | 1.66628i | −0.311139 | − | 0.224682i | ||||
\(56\) | 2.51222 | − | 0.829895i | 0.335710 | − | 0.110899i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −1.21035 | + | 0.324311i | −0.158926 | + | 0.0425842i | ||||
\(59\) | 0.688544 | + | 1.19259i | 0.0896409 | + | 0.155263i | 0.907359 | − | 0.420356i | \(-0.138095\pi\) |
−0.817718 | + | 0.575618i | \(0.804761\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −2.57772 | + | 4.46475i | −0.330044 | + | 0.571652i | −0.982520 | − | 0.186157i | \(-0.940397\pi\) |
0.652476 | + | 0.757809i | \(0.273730\pi\) | |||||||
\(62\) | 3.33216 | + | 3.33216i | 0.423185 | + | 0.423185i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | − | 1.00000i | − | 0.125000i | ||||||
\(65\) | −2.41943 | + | 6.35781i | −0.300094 | + | 0.788590i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −4.19060 | − | 1.12287i | −0.511964 | − | 0.137180i | −0.00641674 | − | 0.999979i | \(-0.502043\pi\) |
−0.505547 | + | 0.862799i | \(0.668709\pi\) | |||||||
\(68\) | 1.55421 | + | 5.80038i | 0.188475 | + | 0.703399i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 1.27508 | + | 5.77704i | 0.152402 | + | 0.690488i | ||||
\(71\) | − | 0.159361i | − | 0.0189127i | −0.999955 | − | 0.00945636i | \(-0.996990\pi\) | ||
0.999955 | − | 0.00945636i | \(-0.00301010\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −2.65363 | + | 9.90347i | −0.310584 | + | 1.15911i | 0.617448 | + | 0.786612i | \(0.288167\pi\) |
−0.928031 | + | 0.372502i | \(0.878500\pi\) | |||||||
\(74\) | −1.03503 | − | 1.79273i | −0.120320 | − | 0.208401i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −7.17018 | −0.822476 | ||||||||
\(77\) | 3.36216 | − | 0.192719i | 0.383154 | − | 0.0219623i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 9.23605 | + | 5.33244i | 1.03914 | + | 0.599946i | 0.919589 | − | 0.392882i | \(-0.128522\pi\) |
0.119548 | + | 0.992828i | \(0.461855\pi\) | |||||||
\(80\) | 2.22449 | + | 0.227291i | 0.248705 | + | 0.0254119i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −0.169748 | − | 0.633506i | −0.0187455 | − | 0.0699591i | ||||
\(83\) | −6.09168 | + | 6.09168i | −0.668648 | + | 0.668648i | −0.957403 | − | 0.288755i | \(-0.906759\pi\) |
0.288755 | + | 0.957403i | \(0.406759\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −13.2561 | + | 2.13894i | −1.43783 | + | 0.232000i | ||||
\(86\) | −8.82415 | − | 5.09463i | −0.951533 | − | 0.549368i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 0.329441 | − | 1.22949i | 0.0351185 | − | 0.131064i | ||||
\(89\) | 3.79369 | − | 6.57086i | 0.402130 | − | 0.696510i | −0.591852 | − | 0.806046i | \(-0.701603\pi\) |
0.993983 | + | 0.109536i | \(0.0349365\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −2.52472 | − | 7.64274i | −0.264663 | − | 0.801176i | ||||
\(92\) | 3.03533 | + | 3.03533i | 0.316455 | + | 0.316455i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 9.38755 | − | 5.41990i | 0.968251 | − | 0.559020i | ||||
\(95\) | 1.62972 | − | 15.9500i | 0.167206 | − | 1.63643i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 10.9935 | − | 10.9935i | 1.11622 | − | 1.11622i | 0.123927 | − | 0.992291i | \(-0.460451\pi\) |
0.992291 | − | 0.123927i | \(-0.0395488\pi\) | |||||||
\(98\) | −5.48291 | − | 4.35175i | −0.553857 | − | 0.439593i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −1.01121 | + | 4.89668i | −0.101121 | + | 0.489668i | ||||
\(101\) | −3.07715 | + | 1.77660i | −0.306188 | + | 0.176778i | −0.645220 | − | 0.763997i | \(-0.723234\pi\) |
0.339031 | + | 0.940775i | \(0.389901\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −5.69956 | + | 1.52719i | −0.561595 | + | 0.150479i | −0.528439 | − | 0.848971i | \(-0.677222\pi\) |
−0.0331558 | + | 0.999450i | \(0.510556\pi\) | |||||||
\(104\) | −3.04222 | −0.298314 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 13.7326 | 1.33383 | ||||||||
\(107\) | 5.71860 | − | 1.53230i | 0.552838 | − | 0.148133i | 0.0284243 | − | 0.999596i | \(-0.490951\pi\) |
0.524414 | + | 0.851463i | \(0.324284\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 15.9866 | − | 9.22986i | 1.53124 | − | 0.884061i | 0.531933 | − | 0.846787i | \(-0.321466\pi\) |
0.999305 | − | 0.0372741i | \(-0.0118675\pi\) | |||||||
\(110\) | 2.66011 | + | 1.01229i | 0.253631 | + | 0.0965180i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −2.21183 | + | 1.45183i | −0.208998 | + | 0.137185i | ||||
\(113\) | 8.78952 | − | 8.78952i | 0.826849 | − | 0.826849i | −0.160231 | − | 0.987080i | \(-0.551224\pi\) |
0.987080 | + | 0.160231i | \(0.0512238\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −7.44195 | + | 6.06215i | −0.693966 | + | 0.565298i | ||||
\(116\) | 1.08517 | − | 0.626522i | 0.100755 | − | 0.0581711i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −0.973749 | − | 0.973749i | −0.0896409 | − | 0.0896409i | ||||
\(119\) | 10.5730 | − | 11.8588i | 0.969226 | − | 1.08709i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −4.68991 | + | 8.12316i | −0.426355 | + | 0.738469i | ||||
\(122\) | 1.33433 | − | 4.97978i | 0.120804 | − | 0.450848i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −4.08105 | − | 2.35619i | −0.366489 | − | 0.211592i | ||||
\(125\) | −10.6628 | − | 3.36240i | −0.953706 | − | 0.300742i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 5.00250 | − | 5.00250i | 0.443900 | − | 0.443900i | −0.449421 | − | 0.893320i | \(-0.648370\pi\) |
0.893320 | + | 0.449421i | \(0.148370\pi\) | |||||||
\(128\) | 0.258819 | + | 0.965926i | 0.0228766 | + | 0.0853766i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 0.691469 | − | 6.76737i | 0.0606458 | − | 0.593538i | ||||
\(131\) | 16.7853 | + | 9.69100i | 1.46654 | + | 0.846706i | 0.999299 | − | 0.0374245i | \(-0.0119154\pi\) |
0.467239 | + | 0.884131i | \(0.345249\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 10.4099 | + | 15.8592i | 0.902651 | + | 1.37517i | ||||
\(134\) | 4.33843 | 0.374783 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −3.00250 | − | 5.20048i | −0.257462 | − | 0.445937i | ||||
\(137\) | 1.64409 | − | 6.13584i | 0.140464 | − | 0.524220i | −0.859451 | − | 0.511218i | \(-0.829194\pi\) |
0.999915 | − | 0.0130023i | \(-0.00413887\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | − | 7.61018i | − | 0.645487i | −0.946486 | − | 0.322744i | \(-0.895395\pi\) | ||
0.946486 | − | 0.322744i | \(-0.104605\pi\) | |||||||
\(140\) | −2.72684 | − | 5.25017i | −0.230460 | − | 0.443721i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 0.0412458 | + | 0.153931i | 0.00346127 | + | 0.0129176i | ||||
\(143\) | −3.74038 | − | 1.00223i | −0.312786 | − | 0.0838108i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 1.14704 | + | 2.55634i | 0.0952565 | + | 0.212293i | ||||
\(146\) | − | 10.2528i | − | 0.848530i | ||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 1.46376 | + | 1.46376i | 0.120320 | + | 0.120320i | ||||
\(149\) | −5.05397 | + | 8.75374i | −0.414038 | + | 0.717134i | −0.995327 | − | 0.0965628i | \(-0.969215\pi\) |
0.581289 | + | 0.813697i | \(0.302548\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 0.957672 | + | 1.65874i | 0.0779342 | + | 0.134986i | 0.902359 | − | 0.430986i | \(-0.141834\pi\) |
−0.824424 | + | 0.565972i | \(0.808501\pi\) | |||||||
\(152\) | 6.92586 | − | 1.85578i | 0.561762 | − | 0.150524i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −3.19772 | + | 1.05634i | −0.257679 | + | 0.0851225i | ||||
\(155\) | 6.16890 | − | 8.54269i | 0.495498 | − | 0.686165i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 15.0279 | + | 4.02672i | 1.19936 | + | 0.321368i | 0.802579 | − | 0.596546i | \(-0.203461\pi\) |
0.396781 | + | 0.917913i | \(0.370127\pi\) | |||||||
\(158\) | −10.3015 | − | 2.76027i | −0.819542 | − | 0.219596i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −2.20752 | + | 0.356193i | −0.174519 | + | 0.0281595i | ||||
\(161\) | 2.30686 | − | 11.1204i | 0.181806 | − | 0.876412i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 11.2938 | − | 3.02616i | 0.884599 | − | 0.237027i | 0.212208 | − | 0.977224i | \(-0.431934\pi\) |
0.672390 | + | 0.740197i | \(0.265268\pi\) | |||||||
\(164\) | 0.327927 | + | 0.567986i | 0.0256068 | + | 0.0443523i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 4.30747 | − | 7.46075i | 0.334324 | − | 0.579067i | ||||
\(167\) | 8.85336 | + | 8.85336i | 0.685093 | + | 0.685093i | 0.961143 | − | 0.276050i | \(-0.0890256\pi\) |
−0.276050 | + | 0.961143i | \(0.589026\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | − | 3.74491i | − | 0.288070i | ||||||
\(170\) | 12.2508 | − | 5.49699i | 0.939595 | − | 0.421600i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 9.84207 | + | 2.63717i | 0.750450 | + | 0.201083i | ||||
\(173\) | 1.28640 | + | 4.80092i | 0.0978034 | + | 0.365007i | 0.997430 | − | 0.0716536i | \(-0.0228276\pi\) |
−0.899626 | + | 0.436661i | \(0.856161\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 12.2987 | − | 4.87251i | 0.929696 | − | 0.368327i | ||||
\(176\) | 1.27286i | 0.0959456i | ||||||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −1.96376 | + | 7.32885i | −0.147190 | + | 0.549320i | ||||
\(179\) | −10.2521 | − | 17.7572i | −0.766281 | − | 1.32724i | −0.939567 | − | 0.342366i | \(-0.888772\pi\) |
0.173286 | − | 0.984872i | \(-0.444562\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −6.09745 | −0.453220 | −0.226610 | − | 0.973986i | \(-0.572764\pi\) | ||||
−0.226610 | + | 0.973986i | \(0.572764\pi\) | |||||||
\(182\) | 4.41678 | + | 6.72887i | 0.327394 | + | 0.498777i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −3.71751 | − | 2.14630i | −0.274058 | − | 0.158228i | ||||
\(185\) | −3.58881 | + | 2.92341i | −0.263855 | + | 0.214934i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −1.97829 | − | 7.38308i | −0.144667 | − | 0.539905i | ||||
\(188\) | −7.66490 | + | 7.66490i | −0.559020 | + | 0.559020i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 2.55397 | + | 15.8283i | 0.185284 | + | 1.14830i | ||||
\(191\) | 10.2818 | + | 5.93620i | 0.743965 | + | 0.429528i | 0.823509 | − | 0.567303i | \(-0.192013\pi\) |
−0.0795444 | + | 0.996831i | \(0.525347\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 3.98395 | − | 14.8683i | 0.286771 | − | 1.07024i | −0.660765 | − | 0.750593i | \(-0.729768\pi\) |
0.947536 | − | 0.319650i | \(-0.103565\pi\) | |||||||
\(194\) | −7.77356 | + | 13.4642i | −0.558109 | + | 0.966673i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 6.42240 | + | 2.78439i | 0.458743 | + | 0.198885i | ||||
\(197\) | 4.63999 | + | 4.63999i | 0.330585 | + | 0.330585i | 0.852809 | − | 0.522223i | \(-0.174897\pi\) |
−0.522223 | + | 0.852809i | \(0.674897\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 8.74465 | − | 5.04873i | 0.619892 | − | 0.357895i | −0.156935 | − | 0.987609i | \(-0.550161\pi\) |
0.776827 | + | 0.629714i | \(0.216828\pi\) | |||||||
\(200\) | −0.290598 | − | 4.99155i | −0.0205484 | − | 0.352956i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 2.51249 | − | 2.51249i | 0.176778 | − | 0.176778i | ||||
\(203\) | −2.96124 | − | 1.49060i | −0.207838 | − | 0.104620i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −1.33801 | + | 0.600371i | −0.0934509 | + | 0.0419317i | ||||
\(206\) | 5.11009 | − | 2.95031i | 0.356037 | − | 0.205558i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 2.93856 | − | 0.787384i | 0.203752 | − | 0.0545953i | ||||
\(209\) | 9.12665 | 0.631304 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −27.9822 | −1.92637 | −0.963187 | − | 0.268832i | \(-0.913362\pi\) | ||||
−0.963187 | + | 0.268832i | \(0.913362\pi\) | |||||||
\(212\) | −13.2647 | + | 3.55426i | −0.911022 | + | 0.244108i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −5.12716 | + | 2.96017i | −0.350486 | + | 0.202353i | ||||
\(215\) | −8.10337 | + | 21.2941i | −0.552645 | + | 1.45225i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 0.713482 | + | 12.4474i | 0.0484343 | + | 0.844983i | ||||
\(218\) | −13.0530 | + | 13.0530i | −0.884061 | + | 0.884061i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −2.83147 | − | 0.289310i | −0.190897 | − | 0.0195053i | ||||
\(221\) | −15.8210 | + | 9.13425i | −1.06423 | + | 0.614436i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 7.37355 | + | 7.37355i | 0.493769 | + | 0.493769i | 0.909492 | − | 0.415722i | \(-0.136471\pi\) |
−0.415722 | + | 0.909492i | \(0.636471\pi\) | |||||||
\(224\) | 1.76070 | − | 1.97482i | 0.117642 | − | 0.131948i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −6.21513 | + | 10.7649i | −0.413424 | + | 0.716072i | ||||
\(227\) | 2.90981 | − | 10.8596i | 0.193131 | − | 0.720775i | −0.799611 | − | 0.600518i | \(-0.794961\pi\) |
0.992743 | − | 0.120258i | \(-0.0383721\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −9.38944 | − | 5.42100i | −0.620472 | − | 0.358230i | 0.156581 | − | 0.987665i | \(-0.449953\pi\) |
−0.777053 | + | 0.629436i | \(0.783286\pi\) | |||||||
\(230\) | 5.61938 | − | 7.78170i | 0.370531 | − | 0.513110i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −0.886035 | + | 0.886035i | −0.0581711 | + | 0.0581711i | ||||
\(233\) | −4.41272 | − | 16.4685i | −0.289087 | − | 1.07889i | −0.945801 | − | 0.324747i | \(-0.894721\pi\) |
0.656714 | − | 0.754140i | \(-0.271946\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −15.3083 | − | 18.7926i | −0.998603 | − | 1.22590i | ||||
\(236\) | 1.19259 | + | 0.688544i | 0.0776313 | + | 0.0448204i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −7.14346 | + | 14.1912i | −0.463042 | + | 0.919880i | ||||
\(239\) | 25.5123 | 1.65026 | 0.825128 | − | 0.564946i | \(-0.191103\pi\) | ||||
0.825128 | + | 0.564946i | \(0.191103\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 7.79510 | + | 13.5015i | 0.502127 | + | 0.869709i | 0.999997 | + | 0.00245737i | \(0.000782207\pi\) |
−0.497870 | + | 0.867251i | \(0.665884\pi\) | |||||||
\(242\) | 2.42768 | − | 9.06021i | 0.156057 | − | 0.582412i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 5.15545i | 0.330044i | ||||||||
\(245\) | −7.65358 | + | 13.6537i | −0.488969 | + | 0.872301i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −5.64568 | − | 21.0700i | −0.359226 | − | 1.34065i | ||||
\(248\) | 4.55182 | + | 1.21966i | 0.289041 | + | 0.0774482i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 11.1697 | + | 0.488103i | 0.706433 | + | 0.0308703i | ||||
\(251\) | − | 10.8399i | − | 0.684206i | −0.939662 | − | 0.342103i | \(-0.888861\pi\) | ||
0.939662 | − | 0.342103i | \(-0.111139\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −3.86356 | − | 3.86356i | −0.242900 | − | 0.242900i | ||||
\(254\) | −3.53730 | + | 6.12678i | −0.221950 | + | 0.384428i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −0.500000 | − | 0.866025i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | −13.8150 | + | 3.70172i | −0.861756 | + | 0.230907i | −0.662520 | − | 0.749044i | \(-0.730513\pi\) |
−0.199237 | + | 0.979951i | \(0.563846\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 1.11246 | − | 5.36271i | 0.0691248 | − | 0.333223i | ||||
\(260\) | 1.08362 | + | 6.71575i | 0.0672031 | + | 0.416493i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −18.7216 | − | 5.01643i | −1.15662 | − | 0.309916i | ||||
\(263\) | 5.29064 | + | 1.41762i | 0.326235 | + | 0.0874144i | 0.418219 | − | 0.908346i | \(-0.362654\pi\) |
−0.0919845 | + | 0.995760i | \(0.529321\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −4.89146 | − | 30.3150i | −0.300480 | − | 1.86223i | ||||
\(266\) | −14.1598 | − | 12.6246i | −0.868195 | − | 0.774061i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −4.19060 | + | 1.12287i | −0.255982 | + | 0.0685901i | ||||
\(269\) | 11.0192 | + | 19.0857i | 0.671850 | + | 1.16368i | 0.977379 | + | 0.211495i | \(0.0678332\pi\) |
−0.305530 | + | 0.952183i | \(0.598833\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −3.14477 | + | 5.44691i | −0.191031 | + | 0.330876i | −0.945592 | − | 0.325354i | \(-0.894517\pi\) |
0.754561 | + | 0.656230i | \(0.227850\pi\) | |||||||
\(272\) | 4.24617 | + | 4.24617i | 0.257462 | + | 0.257462i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 6.35229i | 0.383756i | ||||||||
\(275\) | 1.28713 | − | 6.23280i | 0.0776171 | − | 0.375852i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 21.2109 | + | 5.68345i | 1.27444 | + | 0.341485i | 0.831730 | − | 0.555180i | \(-0.187351\pi\) |
0.442710 | + | 0.896665i | \(0.354017\pi\) | |||||||
\(278\) | 1.96966 | + | 7.35087i | 0.118132 | + | 0.440876i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 3.99277 | + | 4.36552i | 0.238614 | + | 0.260890i | ||||
\(281\) | − | 12.3803i | − | 0.738545i | −0.929321 | − | 0.369273i | \(-0.879607\pi\) | ||
0.929321 | − | 0.369273i | \(-0.120393\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −4.49829 | + | 16.7878i | −0.267395 | + | 0.997933i | 0.693372 | + | 0.720579i | \(0.256124\pi\) |
−0.960768 | + | 0.277354i | \(0.910543\pi\) | |||||||
\(284\) | −0.0796807 | − | 0.138011i | −0.00472818 | − | 0.00818945i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 3.87233 | 0.228975 | ||||||||
\(287\) | 0.780195 | − | 1.54994i | 0.0460535 | − | 0.0914899i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −16.5064 | − | 9.52996i | −0.970964 | − | 0.560586i | ||||
\(290\) | −1.76959 | − | 2.17236i | −0.103914 | − | 0.127565i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 2.65363 | + | 9.90347i | 0.155292 | + | 0.579557i | ||||
\(293\) | −19.7746 | + | 19.7746i | −1.15525 | + | 1.15525i | −0.169760 | + | 0.985485i | \(0.554299\pi\) |
−0.985485 | + | 0.169760i | \(0.945701\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −1.80272 | + | 2.49641i | −0.104959 | + | 0.145347i | ||||
\(296\) | −1.79273 | − | 1.03503i | −0.104200 | − | 0.0601601i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 2.61613 | − | 9.76353i | 0.151548 | − | 0.565586i | ||||
\(299\) | −6.52952 | + | 11.3095i | −0.377612 | + | 0.654043i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −8.45602 | − | 25.5977i | −0.487397 | − | 1.47543i | ||||
\(302\) | −1.35435 | − | 1.35435i | −0.0779342 | − | 0.0779342i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −6.20956 | + | 3.58509i | −0.356143 | + | 0.205619i | ||||
\(305\) | −11.4682 | − | 1.17179i | −0.656668 | − | 0.0670963i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −7.55718 | + | 7.55718i | −0.431311 | + | 0.431311i | −0.889074 | − | 0.457763i | \(-0.848651\pi\) |
0.457763 | + | 0.889074i | \(0.348651\pi\) | |||||||
\(308\) | 2.81536 | − | 1.84798i | 0.160420 | − | 0.105298i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −3.74769 | + | 9.84823i | −0.212855 | + | 0.559342i | ||||
\(311\) | 1.13329 | − | 0.654305i | 0.0642630 | − | 0.0371022i | −0.467524 | − | 0.883980i | \(-0.654854\pi\) |
0.531787 | + | 0.846878i | \(0.321521\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −22.4527 | + | 6.01619i | −1.26910 | + | 0.340055i | −0.829687 | − | 0.558229i | \(-0.811481\pi\) |
−0.439416 | + | 0.898284i | \(0.644815\pi\) | |||||||
\(314\) | −15.5581 | −0.877993 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 10.6649 | 0.599946 | ||||||||
\(317\) | −23.4577 | + | 6.28546i | −1.31751 | + | 0.353027i | −0.848046 | − | 0.529923i | \(-0.822221\pi\) |
−0.469468 | + | 0.882949i | \(0.655554\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −1.38127 | + | 0.797476i | −0.0773362 | + | 0.0446501i | ||||
\(320\) | 2.04011 | − | 0.915403i | 0.114045 | − | 0.0511726i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 0.649925 | + | 11.3386i | 0.0362189 | + | 0.631873i | ||||
\(323\) | 30.4458 | − | 30.4458i | 1.69405 | − | 1.69405i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −15.1854 | + | 0.884063i | −0.842333 | + | 0.0490390i | ||||
\(326\) | −10.1257 | + | 5.84610i | −0.560813 | + | 0.323786i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −0.463759 | − | 0.463759i | −0.0256068 | − | 0.0256068i | ||||
\(329\) | 28.0816 | + | 5.82533i | 1.54819 | + | 0.321161i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 3.47113 | − | 6.01217i | 0.190790 | − | 0.330458i | −0.754722 | − | 0.656045i | \(-0.772228\pi\) |
0.945512 | + | 0.325586i | \(0.105562\pi\) | |||||||
\(332\) | −2.22971 | + | 8.32139i | −0.122371 | + | 0.456695i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −10.8431 | − | 6.26027i | −0.593308 | − | 0.342547i | ||||
\(335\) | −1.54532 | − | 9.57715i | −0.0844298 | − | 0.523256i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −8.08169 | + | 8.08169i | −0.440237 | + | 0.440237i | −0.892092 | − | 0.451854i | \(-0.850763\pi\) |
0.451854 | + | 0.892092i | \(0.350763\pi\) | |||||||
\(338\) | 0.969254 | + | 3.61730i | 0.0527204 | + | 0.196755i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −10.4107 | + | 8.48043i | −0.564598 | + | 0.459916i | ||||
\(341\) | 5.19461 | + | 2.99911i | 0.281304 | + | 0.162411i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −3.16563 | − | 18.2477i | −0.170928 | − | 0.985283i | ||||
\(344\) | −10.1893 | −0.549368 | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −2.48514 | − | 4.30439i | −0.133602 | − | 0.231405i | ||||
\(347\) | −4.40330 | + | 16.4333i | −0.236381 | + | 0.882188i | 0.741140 | + | 0.671351i | \(0.234286\pi\) |
−0.977521 | + | 0.210837i | \(0.932381\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 36.2149i | 1.93854i | 0.246004 | + | 0.969269i | \(0.420883\pi\) | ||||
−0.246004 | + | 0.969269i | \(0.579117\pi\) | |||||||
\(350\) | −10.6186 | + | 7.88963i | −0.567586 | + | 0.421718i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −0.329441 | − | 1.22949i | −0.0175593 | − | 0.0655321i | ||||
\(353\) | 10.1280 | + | 2.71380i | 0.539061 | + | 0.144441i | 0.518069 | − | 0.855339i | \(-0.326651\pi\) |
0.0209920 | + | 0.999780i | \(0.493318\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 0.325114 | − | 0.145880i | 0.0172553 | − | 0.00774251i | ||||
\(356\) | − | 7.58738i | − | 0.402130i | ||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 14.4987 | + | 14.4987i | 0.766281 | + | 0.766281i | ||||
\(359\) | −14.4319 | + | 24.9968i | −0.761686 | + | 1.31928i | 0.180294 | + | 0.983613i | \(0.442295\pi\) |
−0.941981 | + | 0.335667i | \(0.891038\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 16.2057 | + | 28.0692i | 0.852934 | + | 1.47732i | ||||
\(362\) | 5.88969 | − | 1.57814i | 0.309555 | − | 0.0829451i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −6.00784 | − | 5.35644i | −0.314896 | − | 0.280754i | ||||
\(365\) | −22.6333 | + | 3.65199i | −1.18468 | + | 0.191154i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −1.99710 | − | 0.535122i | −0.104248 | − | 0.0279331i | 0.206318 | − | 0.978485i | \(-0.433852\pi\) |
−0.310566 | + | 0.950552i | \(0.600519\pi\) | |||||||
\(368\) | 4.14634 | + | 1.11101i | 0.216143 | + | 0.0579153i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 2.70989 | − | 3.75265i | 0.140880 | − | 0.195091i | ||||
\(371\) | 27.1195 | + | 24.1790i | 1.40797 | + | 1.25531i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 34.6247 | − | 9.27766i | 1.79280 | − | 0.480379i | 0.799982 | − | 0.600023i | \(-0.204842\pi\) |
0.992817 | + | 0.119644i | \(0.0381754\pi\) | |||||||
\(374\) | 3.82177 | + | 6.61949i | 0.197619 | + | 0.342286i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 5.41990 | − | 9.38755i | 0.279510 | − | 0.484126i | ||||
\(377\) | 2.69551 | + | 2.69551i | 0.138826 | + | 0.138826i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | − | 4.28006i | − | 0.219852i | −0.993940 | − | 0.109926i | \(-0.964939\pi\) | ||
0.993940 | − | 0.109926i | \(-0.0350614\pi\) | |||||||
\(380\) | −6.56361 | − | 14.6279i | −0.336706 | − | 0.750397i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −11.4679 | − | 3.07280i | −0.586746 | − | 0.157218i | ||||
\(383\) | −1.35677 | − | 5.06354i | −0.0693278 | − | 0.258735i | 0.922560 | − | 0.385855i | \(-0.126093\pi\) |
−0.991887 | + | 0.127120i | \(0.959427\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 3.47090 | + | 6.68275i | 0.176893 | + | 0.340584i | ||||
\(386\) | 15.3928i | 0.783472i | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 4.02389 | − | 15.0174i | 0.204282 | − | 0.762391i | ||||
\(389\) | 14.0642 | + | 24.3599i | 0.713082 | + | 1.23509i | 0.963695 | + | 0.267007i | \(0.0860346\pi\) |
−0.250613 | + | 0.968087i | \(0.580632\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −25.7771 | −1.30360 | ||||||||
\(392\) | −6.92421 | − | 1.02727i | −0.349726 | − | 0.0518850i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −5.68280 | − | 3.28097i | −0.286295 | − | 0.165293i | ||||
\(395\) | −2.42403 | + | 23.7239i | −0.121966 | + | 1.19368i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 0.872995 | + | 3.25806i | 0.0438144 | + | 0.163518i | 0.984367 | − | 0.176131i | \(-0.0563584\pi\) |
−0.940552 | + | 0.339649i | \(0.889692\pi\) | |||||||
\(398\) | −7.13998 | + | 7.13998i | −0.357895 | + | 0.357895i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 1.57260 | + | 4.74625i | 0.0786302 | + | 0.237313i | ||||
\(401\) | 21.7433 | + | 12.5535i | 1.08581 | + | 0.626891i | 0.932457 | − | 0.361281i | \(-0.117660\pi\) |
0.153350 | + | 0.988172i | \(0.450994\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 3.71046 | − | 13.8476i | 0.184831 | − | 0.689799i | ||||
\(404\) | −1.77660 | + | 3.07715i | −0.0883889 | + | 0.153094i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 3.24613 | + | 0.673388i | 0.161103 | + | 0.0334197i | ||||
\(407\) | −1.86316 | − | 1.86316i | −0.0923536 | − | 0.0923536i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −8.80234 | + | 5.08203i | −0.435248 | + | 0.251290i | −0.701580 | − | 0.712591i | \(-0.747522\pi\) |
0.266332 | + | 0.963881i | \(0.414188\pi\) | |||||||
\(410\) | 1.13703 | − | 0.926217i | 0.0561541 | − | 0.0457426i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −4.17237 | + | 4.17237i | −0.205558 | + | 0.205558i | ||||
\(413\) | −0.208499 | − | 3.63746i | −0.0102596 | − | 0.178988i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −18.0040 | − | 6.85133i | −0.883782 | − | 0.336319i | ||||
\(416\) | −2.63464 | + | 1.52111i | −0.129174 | + | 0.0745785i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −8.81567 | + | 2.36215i | −0.431189 | + | 0.115537i | ||||
\(419\) | −21.3453 | −1.04279 | −0.521394 | − | 0.853316i | \(-0.674588\pi\) | ||||
−0.521394 | + | 0.853316i | \(0.674588\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 27.7202 | 1.35100 | 0.675499 | − | 0.737360i | \(-0.263928\pi\) | ||||
0.675499 | + | 0.737360i | \(0.263928\pi\) | |||||||
\(422\) | 27.0287 | − | 7.24233i | 1.31574 | − | 0.352551i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 11.8928 | − | 6.86630i | 0.577565 | − | 0.333457i | ||||
\(425\) | −16.4984 | − | 25.0859i | −0.800288 | − | 1.21685i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 11.4030 | − | 7.48483i | 0.551829 | − | 0.362216i | ||||
\(428\) | 4.18631 | − | 4.18631i | 0.202353 | − | 0.202353i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 2.31593 | − | 22.6659i | 0.111684 | − | 1.09304i | ||||
\(431\) | −2.85680 | + | 1.64937i | −0.137607 | + | 0.0794475i | −0.567223 | − | 0.823564i | \(-0.691982\pi\) |
0.429616 | + | 0.903012i | \(0.358649\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 1.33257 | + | 1.33257i | 0.0640390 | + | 0.0640390i | 0.738401 | − | 0.674362i | \(-0.235581\pi\) |
−0.674362 | + | 0.738401i | \(0.735581\pi\) | |||||||
\(434\) | −3.91079 | − | 11.8386i | −0.187724 | − | 0.568270i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 9.22986 | − | 15.9866i | 0.442030 | − | 0.765619i | ||||
\(437\) | 7.96613 | − | 29.7300i | 0.381072 | − | 1.42218i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −10.1671 | − | 5.86996i | −0.485248 | − | 0.280158i | 0.237353 | − | 0.971423i | \(-0.423720\pi\) |
−0.722601 | + | 0.691266i | \(0.757053\pi\) | |||||||
\(440\) | 2.80986 | − | 0.453385i | 0.133955 | − | 0.0216143i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 12.9178 | − | 12.9178i | 0.614436 | − | 0.614436i | ||||
\(443\) | −3.56095 | − | 13.2896i | −0.169186 | − | 0.631410i | −0.997469 | − | 0.0711005i | \(-0.977349\pi\) |
0.828283 | − | 0.560309i | \(-0.189318\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 16.8780 | + | 1.72454i | 0.800095 | + | 0.0817512i | ||||
\(446\) | −9.03072 | − | 5.21389i | −0.427617 | − | 0.246885i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −1.18959 | + | 2.36324i | −0.0562027 | + | 0.111652i | ||||
\(449\) | −11.5137 | −0.543366 | −0.271683 | − | 0.962387i | \(-0.587580\pi\) | ||||
−0.271683 | + | 0.962387i | \(0.587580\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −0.417406 | − | 0.722969i | −0.0196549 | − | 0.0340433i | ||||
\(452\) | 3.21719 | − | 12.0067i | 0.151324 | − | 0.564748i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 11.2427i | 0.527644i | ||||||||
\(455\) | 13.2809 | − | 12.1469i | 0.622616 | − | 0.569455i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −2.85813 | − | 10.6667i | −0.133698 | − | 0.498967i | 0.866302 | − | 0.499520i | \(-0.166490\pi\) |
−1.00000 | 0.000553622i | \(0.999824\pi\) | ||||||||
\(458\) | 10.4726 | + | 2.80611i | 0.489351 | + | 0.131121i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −3.41385 | + | 8.97095i | −0.159171 | + | 0.418273i | ||||
\(461\) | 1.01453i | 0.0472512i | 0.999721 | + | 0.0236256i | \(0.00752096\pi\) | ||||
−0.999721 | + | 0.0236256i | \(0.992479\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −12.8011 | − | 12.8011i | −0.594916 | − | 0.594916i | 0.344039 | − | 0.938955i | \(-0.388205\pi\) |
−0.938955 | + | 0.344039i | \(0.888205\pi\) | |||||||
\(464\) | 0.626522 | − | 1.08517i | 0.0290855 | − | 0.0503776i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 8.52472 | + | 14.7653i | 0.394900 | + | 0.683987i | ||||
\(467\) | −7.67187 | + | 2.05567i | −0.355012 | + | 0.0951251i | −0.431917 | − | 0.901913i | \(-0.642163\pi\) |
0.0769053 | + | 0.997038i | \(0.475496\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 8.56763 | + | 7.63869i | 0.395616 | + | 0.352722i | ||||
\(470\) | 19.6506 | + | 14.1902i | 0.906413 | + | 0.654545i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −1.33017 | − | 0.356417i | −0.0612258 | − | 0.0164054i | ||||
\(473\) | −12.5276 | − | 3.35676i | −0.576020 | − | 0.154344i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 34.0315 | − | 11.2759i | 1.56147 | − | 0.517372i | ||||
\(476\) | 3.22710 | − | 15.5565i | 0.147914 | − | 0.713032i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −24.6430 | + | 6.60308i | −1.12715 | + | 0.302018i | ||||
\(479\) | −20.3520 | − | 35.2507i | −0.929906 | − | 1.61064i | −0.783475 | − | 0.621424i | \(-0.786555\pi\) |
−0.146431 | − | 0.989221i | \(-0.546779\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −3.14880 | + | 5.45388i | −0.143573 | + | 0.248676i | ||||
\(482\) | −11.0239 | − | 11.0239i | −0.502127 | − | 0.502127i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 9.37982i | 0.426355i | ||||||||
\(485\) | 32.4913 | + | 12.3644i | 1.47536 | + | 0.561439i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −39.5785 | − | 10.6050i | −1.79347 | − | 0.480560i | −0.800546 | − | 0.599272i | \(-0.795457\pi\) |
−0.992929 | + | 0.118712i | \(0.962124\pi\) | |||||||
\(488\) | −1.33433 | − | 4.97978i | −0.0604022 | − | 0.225424i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 3.85896 | − | 15.1693i | 0.174330 | − | 0.685280i | ||||
\(491\) | 26.8998i | 1.21397i | 0.794714 | + | 0.606985i | \(0.207621\pi\) | ||||
−0.794714 | + | 0.606985i | \(0.792379\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −1.94749 | + | 7.26812i | −0.0877104 | + | 0.327340i | ||||
\(494\) | 10.9066 | + | 18.8908i | 0.490712 | + | 0.849939i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −4.71239 | −0.211592 | ||||||||
\(497\) | −0.189574 | + | 0.376609i | −0.00850357 | + | 0.0168932i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 0.480426 | + | 0.277374i | 0.0215068 | + | 0.0124170i | 0.510715 | − | 0.859750i | \(-0.329381\pi\) |
−0.489208 | + | 0.872167i | \(0.662714\pi\) | |||||||
\(500\) | −10.9154 | + | 2.41945i | −0.488152 | + | 0.108201i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 2.80556 | + | 10.4705i | 0.125218 | + | 0.467321i | ||||
\(503\) | −6.68061 | + | 6.68061i | −0.297874 | + | 0.297874i | −0.840181 | − | 0.542307i | \(-0.817551\pi\) |
0.542307 | + | 0.840181i | \(0.317551\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −6.44128 | − | 4.65142i | −0.286633 | − | 0.206986i | ||||
\(506\) | 4.73187 | + | 2.73195i | 0.210357 | + | 0.121450i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 1.83104 | − | 6.83354i | 0.0812393 | − | 0.303189i | ||||
\(509\) | 14.5500 | − | 25.2013i | 0.644916 | − | 1.11703i | −0.339405 | − | 0.940640i | \(-0.610226\pi\) |
0.984321 | − | 0.176386i | \(-0.0564408\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 18.0522 | − | 20.2475i | 0.798582 | − | 0.895697i | ||||
\(512\) | 0.707107 | + | 0.707107i | 0.0312500 | + | 0.0312500i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 12.3862 | − | 7.15117i | 0.546332 | − | 0.315425i | ||||
\(515\) | −8.33304 | − | 10.2297i | −0.367197 | − | 0.450775i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 9.75636 | − | 9.75636i | 0.429084 | − | 0.429084i | ||||
\(518\) | 0.313420 | + | 5.46791i | 0.0137709 | + | 0.240246i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −2.78486 | − | 6.20645i | −0.122124 | − | 0.272171i | ||||
\(521\) | −16.9185 | + | 9.76787i | −0.741211 | + | 0.427938i | −0.822509 | − | 0.568752i | \(-0.807427\pi\) |
0.0812985 | + | 0.996690i | \(0.474093\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 5.57326 | − | 1.49335i | 0.243702 | − | 0.0652996i | −0.134901 | − | 0.990859i | \(-0.543072\pi\) |
0.378602 | + | 0.925559i | \(0.376405\pi\) | |||||||
\(524\) | 19.3820 | 0.846706 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −5.47727 | −0.238821 | ||||||||
\(527\) | 27.3336 | − | 7.32402i | 1.19067 | − | 0.319039i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 3.96080 | − | 2.28677i | 0.172209 | − | 0.0994247i | ||||
\(530\) | 12.5709 | + | 28.0160i | 0.546044 | + | 1.21694i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 16.9448 | + | 8.52955i | 0.734651 | + | 0.369803i | ||||
\(533\) | −1.41086 | + | 1.41086i | −0.0611109 | + | 0.0611109i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 8.36088 | + | 10.2639i | 0.361472 | + | 0.443747i | ||||
\(536\) | 3.75719 | − | 2.16922i | 0.162286 | − | 0.0936958i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −15.5834 | − | 15.5834i | −0.671850 | − | 0.671850i | ||||
\(539\) | −8.17483 | − | 3.54414i | −0.352115 | − | 0.152657i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −9.14490 | + | 15.8394i | −0.393170 | + | 0.680991i | −0.992866 | − | 0.119238i | \(-0.961955\pi\) |
0.599696 | + | 0.800228i | \(0.295288\pi\) | |||||||
\(542\) | 1.62785 | − | 6.07524i | 0.0699224 | − | 0.260954i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −5.20048 | − | 3.00250i | −0.222969 | − | 0.128731i | ||||
\(545\) | 33.4641 | + | 24.1653i | 1.43344 | + | 1.03513i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −5.93008 | + | 5.93008i | −0.253552 | + | 0.253552i | −0.822425 | − | 0.568873i | \(-0.807379\pi\) |
0.568873 | + | 0.822425i | \(0.307379\pi\) | |||||||
\(548\) | −1.64409 | − | 6.13584i | −0.0702322 | − | 0.262110i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 0.369891 | + | 6.35356i | 0.0157722 | + | 0.270917i | ||||
\(551\) | −7.78084 | − | 4.49227i | −0.331475 | − | 0.191377i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −15.4836 | − | 23.5889i | −0.658429 | − | 1.00310i | ||||
\(554\) | −21.9591 | −0.932955 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −3.80509 | − | 6.59061i | −0.161372 | − | 0.279504i | ||||
\(557\) | 2.98750 | − | 11.1495i | 0.126584 | − | 0.472420i | −0.873307 | − | 0.487171i | \(-0.838029\pi\) |
0.999891 | + | 0.0147511i | \(0.00469558\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 30.9979i | 1.31107i | ||||||||
\(560\) | −4.98660 | − | 3.18336i | −0.210722 | − | 0.134522i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 3.20425 | + | 11.9584i | 0.135163 | + | 0.504436i | ||||
\(563\) | 19.5500 | + | 5.23840i | 0.823932 | + | 0.220772i | 0.646065 | − | 0.763282i | \(-0.276413\pi\) |
0.177867 | + | 0.984054i | \(0.443080\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 25.9775 | + | 9.88561i | 1.09288 | + | 0.415891i | ||||
\(566\) | − | 17.3800i | − | 0.730538i | ||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 0.112686 | + | 0.112686i | 0.00472818 | + | 0.00472818i | ||||
\(569\) | 15.6705 | − | 27.1421i | 0.656941 | − | 1.13785i | −0.324463 | − | 0.945898i | \(-0.605184\pi\) |
0.981404 | − | 0.191956i | \(-0.0614831\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 11.5290 | + | 19.9688i | 0.482473 | + | 0.835669i | 0.999798 | − | 0.0201210i | \(-0.00640514\pi\) |
−0.517324 | + | 0.855790i | \(0.673072\pi\) | |||||||
\(572\) | −3.74038 | + | 1.00223i | −0.156393 | + | 0.0419054i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −0.352457 | + | 1.69905i | −0.0147113 | + | 0.0709172i | ||||
\(575\) | −19.1798 | − | 9.63307i | −0.799854 | − | 0.401727i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −15.0655 | − | 4.03678i | −0.627183 | − | 0.168053i | −0.0687922 | − | 0.997631i | \(-0.521915\pi\) |
−0.558391 | + | 0.829578i | \(0.688581\pi\) | |||||||
\(578\) | 18.4105 | + | 4.93307i | 0.765775 | + | 0.205189i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 2.27154 | + | 1.64034i | 0.0943204 | + | 0.0681113i | ||||
\(581\) | 21.6426 | − | 7.14949i | 0.897888 | − | 0.296611i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 16.8841 | − | 4.52409i | 0.699269 | − | 0.187369i | ||||
\(584\) | −5.12641 | − | 8.87921i | −0.212133 | − | 0.367424i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 13.9828 | − | 24.2189i | 0.577623 | − | 1.00047i | ||||
\(587\) | −11.2057 | − | 11.2057i | −0.462508 | − | 0.462508i | 0.436969 | − | 0.899477i | \(-0.356052\pi\) |
−0.899477 | + | 0.436969i | \(0.856052\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 33.7887i | 1.39224i | ||||||||
\(590\) | 1.09518 | − | 2.87792i | 0.0450878 | − | 0.118482i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 1.99953 | + | 0.535773i | 0.0821803 | + | 0.0220201i | ||||
\(593\) | −6.57925 | − | 24.5541i | −0.270177 | − | 1.00832i | −0.959005 | − | 0.283390i | \(-0.908541\pi\) |
0.688827 | − | 0.724925i | \(-0.258126\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 33.8718 | + | 10.7145i | 1.38861 | + | 0.439251i | ||||
\(596\) | 10.1079i | 0.414038i | ||||||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 3.37993 | − | 12.6141i | 0.138216 | − | 0.515828i | ||||
\(599\) | −6.77896 | − | 11.7415i | −0.276981 | − | 0.479745i | 0.693652 | − | 0.720310i | \(-0.256001\pi\) |
−0.970633 | + | 0.240565i | \(0.922667\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −22.8479 | −0.931983 | −0.465992 | − | 0.884789i | \(-0.654302\pi\) | ||||
−0.465992 | + | 0.884789i | \(0.654302\pi\) | |||||||
\(602\) | 14.7931 | + | 22.5369i | 0.602920 | + | 0.918536i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 1.65874 | + | 0.957672i | 0.0674930 | + | 0.0389671i | ||||
\(605\) | −20.8653 | − | 2.13195i | −0.848294 | − | 0.0866761i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 11.7871 | + | 43.9900i | 0.478423 | + | 1.78550i | 0.608010 | + | 0.793929i | \(0.291968\pi\) |
−0.129588 | + | 0.991568i | \(0.541365\pi\) | |||||||
\(608\) | 5.07008 | − | 5.07008i | 0.205619 | − | 0.205619i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 11.3807 | − | 1.83633i | 0.460792 | − | 0.0743510i | ||||
\(611\) | −28.5590 | − | 16.4885i | −1.15537 | − | 0.667054i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 4.52161 | − | 16.8749i | 0.182626 | − | 0.681570i | −0.812500 | − | 0.582961i | \(-0.801894\pi\) |
0.995126 | − | 0.0986088i | \(-0.0314392\pi\) | |||||||
\(614\) | 5.34373 | − | 9.25562i | 0.215656 | − | 0.373526i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −2.24113 | + | 2.51368i | −0.0902978 | + | 0.101279i | ||||
\(617\) | −22.6199 | − | 22.6199i | −0.910643 | − | 0.910643i | 0.0856796 | − | 0.996323i | \(-0.472694\pi\) |
−0.996323 | + | 0.0856796i | \(0.972694\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 19.5089 | − | 11.2635i | 0.784130 | − | 0.452718i | −0.0537621 | − | 0.998554i | \(-0.517121\pi\) |
0.837892 | + | 0.545836i | \(0.183788\pi\) | |||||||
\(620\) | 1.07108 | − | 10.4826i | 0.0430157 | − | 0.420993i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −0.925327 | + | 0.925327i | −0.0371022 | + | 0.0371022i | ||||
\(623\) | −16.7820 | + | 11.0156i | −0.672356 | + | 0.441330i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −2.90107 | − | 24.8311i | −0.116043 | − | 0.993244i | ||||
\(626\) | 20.1306 | − | 11.6224i | 0.804579 | − | 0.464524i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 15.0279 | − | 4.02672i | 0.599680 | − | 0.160684i | ||||
\(629\) | −12.4307 | −0.495646 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 32.0217 | 1.27476 | 0.637381 | − | 0.770549i | \(-0.280018\pi\) | ||||
0.637381 | + | 0.770549i | \(0.280018\pi\) | |||||||
\(632\) | −10.3015 | + | 2.76027i | −0.409771 | + | 0.109798i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 21.0316 | − | 12.1426i | 0.835270 | − | 0.482244i | ||||
\(635\) | 14.7849 | + | 5.62633i | 0.586722 | + | 0.223274i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −3.12518 | + | 21.0650i | −0.123824 | + | 0.834624i | ||||
\(638\) | 1.12780 | − | 1.12780i | 0.0446501 | − | 0.0446501i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −1.73367 | + | 1.41223i | −0.0685293 | + | 0.0558233i | ||||
\(641\) | 12.6297 | − | 7.29176i | 0.498843 | − | 0.288007i | −0.229392 | − | 0.973334i | \(-0.573674\pi\) |
0.728236 | + | 0.685327i | \(0.240341\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 28.0979 | + | 28.0979i | 1.10807 | + | 1.10807i | 0.993404 | + | 0.114671i | \(0.0365814\pi\) |
0.114671 | + | 0.993404i | \(0.463419\pi\) | |||||||
\(644\) | −3.56241 | − | 10.7840i | −0.140379 | − | 0.424949i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −21.5284 | + | 37.2883i | −0.847025 | + | 1.46709i | ||||
\(647\) | 1.62297 | − | 6.05702i | 0.0638057 | − | 0.238126i | −0.926657 | − | 0.375908i | \(-0.877331\pi\) |
0.990463 | + | 0.137782i | \(0.0439974\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −1.51801 | − | 0.876423i | −0.0595870 | − | 0.0344026i | ||||
\(650\) | 14.4391 | − | 4.78420i | 0.566350 | − | 0.187652i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 8.26763 | − | 8.26763i | 0.323786 | − | 0.323786i | ||||
\(653\) | 4.00035 | + | 14.9295i | 0.156546 | + | 0.584237i | 0.998968 | + | 0.0454190i | \(0.0144623\pi\) |
−0.842422 | + | 0.538818i | \(0.818871\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −4.40535 | + | 43.1150i | −0.172131 | + | 1.68464i | ||||
\(656\) | 0.567986 | + | 0.327927i | 0.0221761 | + | 0.0128034i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −28.6324 | + | 1.64121i | −1.11621 | + | 0.0639809i | ||||
\(659\) | −33.1206 | −1.29019 | −0.645097 | − | 0.764101i | \(-0.723183\pi\) | ||||
−0.645097 | + | 0.764101i | \(0.723183\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 10.9940 | + | 19.0421i | 0.427616 | + | 0.740653i | 0.996661 | − | 0.0816540i | \(-0.0260202\pi\) |
−0.569045 | + | 0.822307i | \(0.692687\pi\) | |||||||
\(662\) | −1.79679 | + | 6.70570i | −0.0698341 | + | 0.260624i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | − | 8.61493i | − | 0.334324i | ||||||
\(665\) | −22.8253 | + | 35.7548i | −0.885126 | + | 1.38651i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 1.39214 | + | 5.19554i | 0.0539039 | + | 0.201172i | ||||
\(668\) | 12.0939 | + | 3.24055i | 0.467927 | + | 0.125381i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 3.97141 | + | 8.85086i | 0.153429 | + | 0.341939i | ||||
\(671\) | − | 6.56218i | − | 0.253330i | ||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −29.8413 | − | 29.8413i | −1.15030 | − | 1.15030i | −0.986493 | − | 0.163806i | \(-0.947623\pi\) |
−0.163806 | − | 0.986493i | \(-0.552377\pi\) | |||||||
\(674\) | 5.71461 | − | 9.89800i | 0.220119 | − | 0.381257i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −1.87245 | − | 3.24319i | −0.0720175 | − | 0.124738i | ||||
\(677\) | −10.7397 | + | 2.87769i | −0.412760 | + | 0.110599i | −0.459222 | − | 0.888321i | \(-0.651872\pi\) |
0.0464625 | + | 0.998920i | \(0.485205\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −39.0579 | + | 12.9025i | −1.49890 | + | 0.495152i | ||||
\(680\) | 7.86103 | − | 10.8859i | 0.301457 | − | 0.417457i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −5.79384 | − | 1.55245i | −0.221857 | − | 0.0594465i | ||||
\(683\) | 33.1375 | + | 8.87917i | 1.26797 | + | 0.339752i | 0.829253 | − | 0.558873i | \(-0.188766\pi\) |
0.438718 | + | 0.898625i | \(0.355433\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 14.0228 | − | 2.26264i | 0.535783 | − | 0.0864511i | ||||
\(686\) | 7.78062 | + | 16.8066i | 0.297066 | + | 0.641679i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 9.84207 | − | 2.63717i | 0.375225 | − | 0.100541i | ||||
\(689\) | −20.8888 | − | 36.1805i | −0.795800 | − | 1.37837i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −3.62966 | + | 6.28676i | −0.138079 | + | 0.239160i | −0.926769 | − | 0.375631i | \(-0.877426\pi\) |
0.788690 | + | 0.614790i | \(0.210759\pi\) | |||||||
\(692\) | 3.51452 | + | 3.51452i | 0.133602 | + | 0.133602i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | − | 17.0130i | − | 0.645806i | ||||||
\(695\) | 15.5256 | − | 6.96639i | 0.588919 | − | 0.264250i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −3.80420 | − | 1.01933i | −0.144094 | − | 0.0386100i | ||||
\(698\) | −9.37310 | − | 34.9809i | −0.354777 | − | 1.32405i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 8.21475 | − | 10.3691i | 0.310489 | − | 0.391914i | ||||
\(701\) | − | 26.7254i | − | 1.00940i | −0.863294 | − | 0.504702i | \(-0.831602\pi\) | ||
0.863294 | − | 0.504702i | \(-0.168398\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 3.84159 | − | 14.3370i | 0.144888 | − | 0.540730i | ||||
\(704\) | 0.636431 | + | 1.10233i | 0.0239864 | + | 0.0415457i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −10.4853 | −0.394620 | ||||||||
\(707\) | 9.38546 | − | 0.537973i | 0.352976 | − | 0.0202326i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 28.6346 | + | 16.5322i | 1.07540 | + | 0.620880i | 0.929651 | − | 0.368442i | \(-0.120109\pi\) |
0.145745 | + | 0.989322i | \(0.453442\pi\) | |||||||
\(710\) | −0.276280 | + | 0.225055i | −0.0103686 | + | 0.00844616i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 1.96376 | + | 7.32885i | 0.0735950 | + | 0.274660i | ||||
\(713\) | 14.3037 | − | 14.3037i | 0.535676 | − | 0.535676i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −1.37930 | − | 8.54822i | −0.0515827 | − | 0.319685i | ||||
\(716\) | −17.7572 | − | 10.2521i | −0.663619 | − | 0.383140i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 7.47050 | − | 27.8803i | 0.278797 | − | 1.04048i | ||||
\(719\) | 0.519410 | − | 0.899644i | 0.0193707 | − | 0.0335511i | −0.856178 | − | 0.516682i | \(-0.827167\pi\) |
0.875548 | + | 0.483131i | \(0.160500\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 15.2861 | + | 3.17101i | 0.569286 | + | 0.118094i | ||||
\(722\) | −22.9184 | − | 22.9184i | −0.852934 | − | 0.852934i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −5.28055 | + | 3.04873i | −0.196250 | + | 0.113305i | ||||
\(725\) | −4.16521 | + | 4.68017i | −0.154692 | + | 0.173817i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −29.2601 | + | 29.2601i | −1.08520 | + | 1.08520i | −0.0891830 | + | 0.996015i | \(0.528426\pi\) |
−0.996015 | + | 0.0891830i | \(0.971574\pi\) | |||||||
\(728\) | 7.18948 | + | 3.61898i | 0.266460 | + | 0.134128i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 20.9169 | − | 9.38547i | 0.774168 | − | 0.347372i | ||||
\(731\) | −52.9890 | + | 30.5932i | −1.95987 | + | 1.13153i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −7.52853 | + | 2.01726i | −0.278073 | + | 0.0745094i | −0.395160 | − | 0.918612i | \(-0.629311\pi\) |
0.117087 | + | 0.993122i | \(0.462644\pi\) | |||||||
\(734\) | 2.06755 | 0.0763148 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −4.29261 | −0.158228 | ||||||||
\(737\) | 5.33406 | − | 1.42926i | 0.196483 | − | 0.0526474i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −6.75740 | + | 3.90139i | −0.248575 | + | 0.143515i | −0.619112 | − | 0.785303i | \(-0.712507\pi\) |
0.370537 | + | 0.928818i | \(0.379174\pi\) | |||||||
\(740\) | −1.64630 | + | 4.32615i | −0.0605190 | + | 0.159033i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −32.4534 | − | 16.3361i | −1.19140 | − | 0.599718i | ||||
\(743\) | 22.5054 | − | 22.5054i | 0.825641 | − | 0.825641i | −0.161269 | − | 0.986910i | \(-0.551559\pi\) |
0.986910 | + | 0.161269i | \(0.0515587\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −22.4850 | − | 2.29745i | −0.823786 | − | 0.0841719i | ||||
\(746\) | −31.0437 | + | 17.9231i | −1.13659 | + | 0.656210i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −5.40479 | − | 5.40479i | −0.197619 | − | 0.197619i | ||||
\(749\) | −15.3372 | − | 3.18160i | −0.560409 | − | 0.116253i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 0.992322 | − | 1.71875i | 0.0362103 | − | 0.0627182i | −0.847352 | − | 0.531031i | \(-0.821805\pi\) |
0.883563 | + | 0.468313i | \(0.155138\pi\) | |||||||
\(752\) | −2.80555 | + | 10.4704i | −0.102308 | + | 0.381818i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −3.30132 | − | 1.90602i | −0.120227 | − | 0.0694130i | ||||
\(755\) | −2.50734 | + | 3.47217i | −0.0912516 | + | 0.126365i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −25.3998 | + | 25.3998i | −0.923171 | + | 0.923171i | −0.997252 | − | 0.0740808i | \(-0.976398\pi\) |
0.0740808 | + | 0.997252i | \(0.476398\pi\) | |||||||
\(758\) | 1.10776 | + | 4.13422i | 0.0402357 | + | 0.150162i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 10.1259 | + | 12.4307i | 0.367307 | + | 0.450909i | ||||
\(761\) | 37.3770 | + | 21.5796i | 1.35492 | + | 0.782261i | 0.988933 | − | 0.148361i | \(-0.0473998\pi\) |
0.365982 | + | 0.930622i | \(0.380733\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −48.7598 | + | 2.79491i | −1.76522 | + | 0.101182i | ||||
\(764\) | 11.8724 | 0.429528 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 2.62108 | + | 4.53985i | 0.0947035 | + | 0.164031i | ||||
\(767\) | −1.08430 | + | 4.04665i | −0.0391517 | + | 0.146116i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 21.4012i | 0.771748i | 0.922551 | + | 0.385874i | \(0.126100\pi\) | ||||
−0.922551 | + | 0.385874i | \(0.873900\pi\) | |||||||
\(770\) | −5.08225 | − | 5.55671i | −0.183152 | − | 0.200250i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −3.98395 | − | 14.8683i | −0.143385 | − | 0.535121i | ||||
\(773\) | 6.64191 | + | 1.77969i | 0.238893 | + | 0.0640111i | 0.376279 | − | 0.926506i | \(-0.377203\pi\) |
−0.137386 | + | 0.990518i | \(0.543870\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 23.0750 | + | 4.76522i | 0.828880 | + | 0.171172i | ||||
\(776\) | 15.5471i | 0.558109i | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −19.8897 | − | 19.8897i | −0.713082 | − | 0.713082i | ||||
\(779\) | 2.35130 | − | 4.07256i | 0.0842439 | − | 0.145915i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 0.101423 | + | 0.175669i | 0.00362919 | + | 0.00628594i | ||||
\(782\) | 24.8987 | − | 6.67159i | 0.890377 | − | 0.238576i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 6.95415 | − | 0.799850i | 0.248363 | − | 0.0285661i | ||||
\(785\) | 5.54168 | + | 34.3447i | 0.197791 | + | 1.22581i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 31.3540 | + | 8.40128i | 1.11765 | + | 0.299473i | 0.769932 | − | 0.638126i | \(-0.220290\pi\) |
0.347718 | + | 0.937599i | \(0.386957\pi\) | |||||||
\(788\) | 6.33834 | + | 1.69835i | 0.225794 | + | 0.0605013i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −3.79876 | − | 23.5429i | −0.135154 | − | 0.837618i | ||||
\(791\) | −31.2276 | + | 10.3158i | −1.11033 | + | 0.366788i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −15.1496 | + | 4.05932i | −0.537977 | + | 0.144151i | ||||
\(794\) | −1.68650 | − | 2.92110i | −0.0598516 | − | 0.103666i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 5.04873 | − | 8.74465i | 0.178947 | − | 0.309946i | ||||
\(797\) | 3.51487 | + | 3.51487i | 0.124503 | + | 0.124503i | 0.766613 | − | 0.642110i | \(-0.221941\pi\) |
−0.642110 | + | 0.766613i | \(0.721941\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | − | 65.0929i | − | 2.30282i | ||||||
\(800\) | −2.74744 | − | 4.17751i | −0.0971366 | − | 0.147697i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −24.2515 | − | 6.49816i | −0.856349 | − | 0.229458i | ||||
\(803\) | −3.37770 | − | 12.6058i | −0.119197 | − | 0.444848i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 24.7985 | − | 5.47343i | 0.874034 | − | 0.192913i | ||||
\(806\) | 14.3361i | 0.504968i | ||||||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 0.919634 | − | 3.43212i | 0.0323526 | − | 0.120742i | ||||
\(809\) | 27.6293 | + | 47.8553i | 0.971393 | + | 1.68250i | 0.691357 | + | 0.722513i | \(0.257013\pi\) |
0.280036 | + | 0.959989i | \(0.409654\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −13.2246 | −0.464380 | −0.232190 | − | 0.972671i | \(-0.574589\pi\) | ||||
−0.232190 | + | 0.972671i | \(0.574589\pi\) | |||||||
\(812\) | −3.30981 | + | 0.189718i | −0.116151 | + | 0.00665779i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 2.28190 | + | 1.31746i | 0.0799806 | + | 0.0461768i | ||||
\(815\) | 16.5121 | + | 20.2704i | 0.578393 | + | 0.710041i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −18.9090 | − | 70.5694i | −0.661542 | − | 2.46891i | ||||
\(818\) | 7.18708 | − | 7.18708i | 0.251290 | − | 0.251290i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −0.858567 | + | 1.18894i | −0.0299825 | + | 0.0415197i | ||||
\(821\) | −14.2602 | − | 8.23311i | −0.497683 | − | 0.287337i | 0.230073 | − | 0.973173i | \(-0.426103\pi\) |
−0.727756 | + | 0.685836i | \(0.759437\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −9.09410 | + | 33.9396i | −0.317000 | + | 1.18306i | 0.605112 | + | 0.796140i | \(0.293128\pi\) |
−0.922113 | + | 0.386921i | \(0.873539\pi\) | |||||||
\(824\) | 2.95031 | − | 5.11009i | 0.102779 | − | 0.178018i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 1.14284 | + | 3.45956i | 0.0397645 | + | 0.120373i | ||||
\(827\) | 27.5730 | + | 27.5730i | 0.958808 | + | 0.958808i | 0.999185 | − | 0.0403769i | \(-0.0128559\pi\) |
−0.0403769 | + | 0.999185i | \(0.512856\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −31.2154 | + | 18.0222i | −1.08416 | + | 0.625938i | −0.932014 | − | 0.362421i | \(-0.881950\pi\) |
−0.152141 | + | 0.988359i | \(0.548617\pi\) | |||||||
\(830\) | 19.1638 | + | 1.95810i | 0.665185 | + | 0.0679665i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 2.15117 | − | 2.15117i | 0.0745785 | − | 0.0745785i | ||||
\(833\) | −39.0936 | + | 15.4476i | −1.35451 | + | 0.535228i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −9.95740 | + | 26.1662i | −0.344590 | + | 0.905518i | ||||
\(836\) | 7.90391 | − | 4.56333i | 0.273363 | − | 0.157826i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 20.6180 | − | 5.52458i | 0.712237 | − | 0.190843i | ||||
\(839\) | −16.9254 | −0.584331 | −0.292165 | − | 0.956368i | \(-0.594376\pi\) | ||||
−0.292165 | + | 0.956368i | \(0.594376\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −27.4299 | −0.945858 | ||||||||
\(842\) | −26.7756 | + | 7.17451i | −0.922749 | + | 0.247250i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −24.2333 | + | 13.9911i | −0.834144 | + | 0.481593i | ||||
\(845\) | 7.64001 | − | 3.42810i | 0.262824 | − | 0.117930i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 20.7466 | − | 13.6179i | 0.712861 | − | 0.467916i | ||||
\(848\) | −9.71042 | + | 9.71042i | −0.333457 | + | 0.333457i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 22.4289 | + | 19.9610i | 0.769305 | + | 0.684658i | ||||
\(851\) | −7.69549 | + | 4.44299i | −0.263798 | + | 0.152304i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −1.10865 | − | 1.10865i | −0.0379596 | − | 0.0379596i | 0.687872 | − | 0.725832i | \(-0.258545\pi\) |
−0.725832 | + | 0.687872i | \(0.758545\pi\) | |||||||
\(854\) | −9.07721 | + | 10.1811i | −0.310616 | + | 0.348390i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −2.96017 | + | 5.12716i | −0.101176 | + | 0.175243i | ||||
\(857\) | 2.16107 | − | 8.06522i | 0.0738207 | − | 0.275503i | −0.919143 | − | 0.393925i | \(-0.871117\pi\) |
0.992963 | + | 0.118422i | \(0.0377836\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 42.1088 | + | 24.3115i | 1.43674 | + | 0.829499i | 0.997621 | − | 0.0689321i | \(-0.0219592\pi\) |
0.439114 | + | 0.898431i | \(0.355293\pi\) | |||||||
\(860\) | 3.62934 | + | 22.4929i | 0.123760 | + | 0.767003i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 2.33257 | − | 2.33257i | 0.0794475 | − | 0.0794475i | ||||
\(863\) | 3.72597 | + | 13.9055i | 0.126834 | + | 0.473349i | 0.999898 | − | 0.0142549i | \(-0.00453762\pi\) |
−0.873065 | + | 0.487604i | \(0.837871\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −8.61682 | + | 7.01918i | −0.292981 | + | 0.238659i | ||||
\(866\) | −1.63205 | − | 0.942266i | −0.0554594 | − | 0.0320195i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 6.84158 | + | 10.4230i | 0.232218 | + | 0.353780i | ||||
\(869\) | −13.5749 | −0.460498 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −6.59923 | − | 11.4302i | −0.223606 | − | 0.387297i | ||||
\(872\) | −4.77773 | + | 17.8307i | −0.161794 | + | 0.603825i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 30.7788i | 1.04111i | ||||||||
\(875\) | 21.1987 | + | 20.6304i | 0.716648 | + | 0.697435i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −9.97124 | − | 37.2132i | −0.336705 | − | 1.25660i | −0.902009 | − | 0.431717i | \(-0.857908\pi\) |
0.565304 | − | 0.824882i | \(-0.308759\pi\) | |||||||
\(878\) | 11.3399 | + | 3.03851i | 0.382703 | + | 0.102545i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −2.59678 | + | 1.16518i | −0.0875373 | + | 0.0392783i | ||||
\(881\) | − | 46.3316i | − | 1.56095i | −0.625187 | − | 0.780475i | \(-0.714977\pi\) | ||
0.625187 | − | 0.780475i | \(-0.285023\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 4.38151 | + | 4.38151i | 0.147450 | + | 0.147450i | 0.776978 | − | 0.629528i | \(-0.216752\pi\) |
−0.629528 | + | 0.776978i | \(0.716752\pi\) | |||||||
\(884\) | −9.13425 | + | 15.8210i | −0.307218 | + | 0.532117i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 6.87922 | + | 11.9152i | 0.231112 | + | 0.400298i | ||||
\(887\) | −40.7161 | + | 10.9098i | −1.36711 | + | 0.366317i | −0.866423 | − | 0.499311i | \(-0.833587\pi\) |
−0.500689 | + | 0.865627i | \(0.666920\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −17.7730 | + | 5.87118i | −0.596087 | + | 0.196913i | ||||
\(890\) | −16.7493 | + | 2.70257i | −0.561437 | + | 0.0905904i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 10.0725 | + | 2.69891i | 0.337251 | + | 0.0903661i | ||||
\(893\) | 75.0750 | + | 20.1163i | 2.51229 | + | 0.673166i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 26.8418 | − | 37.1705i | 0.897222 | − | 1.24247i | ||||
\(896\) | 0.537402 | − | 2.59060i | 0.0179533 | − | 0.0865458i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 11.1214 | − | 2.97997i | 0.371126 | − | 0.0994429i | ||||
\(899\) | −2.95241 | − | 5.11373i | −0.0984684 | − | 0.170552i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 41.2321 | − | 71.4161i | 1.37364 | − | 2.37922i | ||||
\(902\) | 0.590301 | + | 0.590301i | 0.0196549 | + | 0.0196549i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 12.4303i | 0.413424i | ||||||||
\(905\) | −5.58163 | − | 12.4395i | −0.185540 | − | 0.413502i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −52.2562 | − | 14.0020i | −1.73514 | − | 0.464929i | −0.753783 | − | 0.657124i | \(-0.771773\pi\) |
−0.981357 | + | 0.192195i | \(0.938440\pi\) | |||||||
\(908\) | −2.90981 | − | 10.8596i | −0.0965656 | − | 0.360388i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −9.68448 | + | 15.1703i | −0.321037 | + | 0.502892i | ||||
\(911\) | 35.0545i | 1.16141i | 0.814115 | + | 0.580704i | \(0.197223\pi\) | ||||
−0.814115 | + | 0.580704i | \(0.802777\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 2.83811 | − | 10.5920i | 0.0939278 | − | 0.350543i | ||||
\(914\) | 5.52149 | + | 9.56350i | 0.182635 | + | 0.316332i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −10.8420 | −0.358230 | ||||||||
\(917\) | −28.1393 | − | 42.8697i | −0.929243 | − | 1.41568i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 24.5646 | + | 14.1824i | 0.810310 | + | 0.467833i | 0.847064 | − | 0.531492i | \(-0.178368\pi\) |
−0.0367535 | + | 0.999324i | \(0.511702\pi\) | |||||||
\(920\) | 0.975671 | − | 9.54884i | 0.0321669 | − | 0.314816i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −0.262579 | − | 0.979957i | −0.00864757 | − | 0.0322732i | ||||
\(923\) | 0.342814 | − | 0.342814i | 0.0112839 | − | 0.0112839i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −9.24928 | − | 4.64546i | −0.304115 | − | 0.152742i | ||||
\(926\) | 15.6780 | + | 9.05172i | 0.515212 | + | 0.297458i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −0.324311 | + | 1.21035i | −0.0106460 | + | 0.0397316i | ||||
\(929\) | 23.6445 | − | 40.9535i | 0.775752 | − | 1.34364i | −0.158619 | − | 0.987340i | \(-0.550704\pi\) |
0.934371 | − | 0.356301i | \(-0.115962\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −5.73507 | − | 49.8625i | −0.187959 | − | 1.63418i | ||||
\(932\) | −12.0558 | − | 12.0558i | −0.394900 | − | 0.394900i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 6.87841 | − | 3.97125i | 0.225069 | − | 0.129943i | ||||
\(935\) | 13.2513 | − | 10.7944i | 0.433365 | − | 0.353015i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 41.4793 | − | 41.4793i | 1.35507 | − | 1.35507i | 0.475182 | − | 0.879888i | \(-0.342382\pi\) |
0.879888 | − | 0.475182i | \(-0.157618\pi\) | |||||||
\(938\) | −10.2527 | − | 5.16094i | −0.334764 | − | 0.168511i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −22.6537 | − | 8.62074i | −0.738882 | − | 0.281178i | ||||
\(941\) | −22.6321 | + | 13.0667i | −0.737786 | + | 0.425961i | −0.821264 | − | 0.570549i | \(-0.806731\pi\) |
0.0834777 | + | 0.996510i | \(0.473397\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −2.71939 | + | 0.728659i | −0.0885556 | + | 0.0237284i | ||||
\(944\) | 1.37709 | 0.0448204 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 12.9695 | 0.421676 | ||||||||
\(947\) | −28.8745 | + | 7.73689i | −0.938294 | + | 0.251415i | −0.695388 | − | 0.718635i | \(-0.744767\pi\) |
−0.242906 | + | 0.970050i | \(0.578101\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −27.0125 | + | 15.5957i | −0.876863 | + | 0.506257i | ||||
\(950\) | −29.9535 | + | 19.6996i | −0.971819 | + | 0.639141i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 0.909190 | + | 15.8617i | 0.0294670 | + | 0.514080i | ||||
\(953\) | −10.7391 | + | 10.7391i | −0.347873 | + | 0.347873i | −0.859317 | − | 0.511444i | \(-0.829111\pi\) |
0.511444 | + | 0.859317i | \(0.329111\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −2.69849 | + | 26.4100i | −0.0873211 | + | 0.854607i | ||||
\(956\) | 22.0943 | − | 12.7562i | 0.714582 | − | 0.412564i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 28.7821 | + | 28.7821i | 0.929906 | + | 0.929906i | ||||
\(959\) | −11.1845 | + | 12.5446i | −0.361166 | + | 0.405088i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 4.39671 | − | 7.61532i | 0.141829 | − | 0.245656i | ||||
\(962\) | 1.62994 | − | 6.08301i | 0.0525513 | − | 0.196124i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 13.5015 | + | 7.79510i | 0.434854 | + | 0.251063i | ||||
\(965\) | 33.9798 | − | 5.48280i | 1.09385 | − | 0.176498i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −26.6517 | + | 26.6517i | −0.857060 | + | 0.857060i | −0.990991 | − | 0.133931i | \(-0.957240\pi\) |
0.133931 | + | 0.990991i | \(0.457240\pi\) | |||||||
\(968\) | −2.42768 | − | 9.06021i | −0.0780285 | − | 0.291206i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −34.5844 | − | 3.53372i | −1.11044 | − | 0.113461i | ||||
\(971\) | −3.66101 | − | 2.11368i | −0.117487 | − | 0.0678313i | 0.440105 | − | 0.897946i | \(-0.354941\pi\) |
−0.557592 | + | 0.830115i | \(0.688275\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −9.05297 | + | 17.9847i | −0.290225 | + | 0.576562i | ||||
\(974\) | 40.9747 | 1.31291 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 2.57772 | + | 4.46475i | 0.0825109 | + | 0.142913i | ||||
\(977\) | −8.46277 | + | 31.5835i | −0.270748 | + | 1.01045i | 0.687889 | + | 0.725816i | \(0.258537\pi\) |
−0.958637 | + | 0.284630i | \(0.908129\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 9.65769i | 0.308661i | ||||||||
\(980\) | 0.198639 | + | 15.6512i | 0.00634530 | + | 0.499960i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −6.96217 | − | 25.9832i | −0.222172 | − | 0.829156i | ||||
\(983\) | −10.3141 | − | 2.76365i | −0.328968 | − | 0.0881467i | 0.0905549 | − | 0.995891i | \(-0.471136\pi\) |
−0.419523 | + | 0.907745i | \(0.637803\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −5.21861 | + | 13.7135i | −0.166279 | + | 0.436949i | ||||
\(986\) | − | 7.52451i | − | 0.239629i | ||||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −15.4243 | − | 15.4243i | −0.490712 | − | 0.490712i | ||||
\(989\) | −21.8692 | + | 37.8786i | −0.695401 | + | 1.20447i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 26.7818 | + | 46.3874i | 0.850751 | + | 1.47354i | 0.880532 | + | 0.473987i | \(0.157186\pi\) |
−0.0297806 | + | 0.999556i | \(0.509481\pi\) | |||||||
\(992\) | 4.55182 | − | 1.21966i | 0.144520 | − | 0.0387241i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 0.0856412 | − | 0.412841i | 0.00271637 | − | 0.0130945i | ||||
\(995\) | 18.3048 | + | 13.2184i | 0.580302 | + | 0.419052i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −6.25021 | − | 1.67474i | −0.197946 | − | 0.0530395i | 0.158484 | − | 0.987362i | \(-0.449339\pi\) |
−0.356430 | + | 0.934322i | \(0.616006\pi\) | |||||||
\(998\) | −0.535846 | − | 0.143580i | −0.0169619 | − | 0.00454493i | ||||
\(999\) | 0 | 0 |
(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 | 630.2.ce.c.233.3 | yes | 32 | |
3.2 | odd | 2 | inner | 630.2.ce.c.233.6 | yes | 32 | |
5.2 | odd | 4 | inner | 630.2.ce.c.107.4 | yes | 32 | |
7.4 | even | 3 | inner | 630.2.ce.c.53.5 | yes | 32 | |
15.2 | even | 4 | inner | 630.2.ce.c.107.5 | yes | 32 | |
21.11 | odd | 6 | inner | 630.2.ce.c.53.4 | ✓ | 32 | |
35.32 | odd | 12 | inner | 630.2.ce.c.557.6 | yes | 32 | |
105.32 | even | 12 | inner | 630.2.ce.c.557.3 | yes | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
630.2.ce.c.53.4 | ✓ | 32 | 21.11 | odd | 6 | inner | |
630.2.ce.c.53.5 | yes | 32 | 7.4 | even | 3 | inner | |
630.2.ce.c.107.4 | yes | 32 | 5.2 | odd | 4 | inner | |
630.2.ce.c.107.5 | yes | 32 | 15.2 | even | 4 | inner | |
630.2.ce.c.233.3 | yes | 32 | 1.1 | even | 1 | trivial | |
630.2.ce.c.233.6 | yes | 32 | 3.2 | odd | 2 | inner | |
630.2.ce.c.557.3 | yes | 32 | 105.32 | even | 12 | inner | |
630.2.ce.c.557.6 | yes | 32 | 35.32 | odd | 12 | inner |