Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [384,2,Mod(11,384)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(384, base_ring=CyclotomicField(32))
chi = DirichletCharacter(H, H._module([16, 21, 16]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("384.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 384 = 2^{7} \cdot 3 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 384.w (of order \(32\), degree \(16\), 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: | \(3.06625543762\) |
Analytic rank: | \(0\) |
Dimension: | \(992\) |
Relative dimension: | \(62\) over \(\Q(\zeta_{32})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{32}]$ |
Embedding invariants
Embedding label | 155.23 | ||
Character | \(\chi\) | \(=\) | 384.155 |
Dual form | 384.2.w.a.275.23 |
$q$-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 \(\left(\mathbb{Z}/384\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(133\) | \(257\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{9}{32}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.503011 | − | 1.32173i | −0.355682 | − | 0.934607i | ||||
\(3\) | 1.46684 | − | 0.921069i | 0.846883 | − | 0.531780i | ||||
\(4\) | −1.49396 | + | 1.32969i | −0.746980 | + | 0.664846i | ||||
\(5\) | 2.77004 | − | 2.27332i | 1.23880 | − | 1.01666i | 0.239853 | − | 0.970809i | \(-0.422901\pi\) |
0.998948 | − | 0.0458488i | \(-0.0145993\pi\) | |||||||
\(6\) | −1.95525 | − | 1.47547i | −0.798226 | − | 0.602358i | ||||
\(7\) | 1.08926 | + | 1.63019i | 0.411702 | + | 0.616155i | 0.978140 | − | 0.207949i | \(-0.0666789\pi\) |
−0.566438 | + | 0.824104i | \(0.691679\pi\) | |||||||
\(8\) | 2.50898 | + | 1.30577i | 0.887058 | + | 0.461659i | ||||
\(9\) | 1.30326 | − | 2.70213i | 0.434421 | − | 0.900710i | ||||
\(10\) | −4.39808 | − | 2.51776i | −1.39080 | − | 0.796185i | ||||
\(11\) | −0.773514 | + | 0.234643i | −0.233223 | + | 0.0707475i | −0.404733 | − | 0.914435i | \(-0.632635\pi\) |
0.171510 | + | 0.985182i | \(0.445135\pi\) | |||||||
\(12\) | −0.966667 | + | 3.32649i | −0.279053 | + | 0.960276i | ||||
\(13\) | 1.37777 | + | 1.13071i | 0.382125 | + | 0.313602i | 0.805773 | − | 0.592225i | \(-0.201750\pi\) |
−0.423647 | + | 0.905827i | \(0.639250\pi\) | |||||||
\(14\) | 1.60677 | − | 2.25972i | 0.429428 | − | 0.603935i | ||||
\(15\) | 1.96934 | − | 5.88600i | 0.508481 | − | 1.51976i | ||||
\(16\) | 0.463834 | − | 3.97302i | 0.115958 | − | 0.993254i | ||||
\(17\) | 1.91039 | + | 4.61208i | 0.463337 | + | 1.11859i | 0.967019 | + | 0.254705i | \(0.0819785\pi\) |
−0.503682 | + | 0.863889i | \(0.668022\pi\) | |||||||
\(18\) | −4.22705 | − | 0.363365i | −0.996326 | − | 0.0856459i | ||||
\(19\) | −4.68594 | + | 0.461525i | −1.07503 | + | 0.105881i | −0.620005 | − | 0.784598i | \(-0.712869\pi\) |
−0.455024 | + | 0.890479i | \(0.650369\pi\) | |||||||
\(20\) | −1.11552 | + | 7.07955i | −0.249438 | + | 1.58304i | ||||
\(21\) | 3.09930 | + | 1.38795i | 0.676322 | + | 0.302877i | ||||
\(22\) | 0.699221 | + | 0.904351i | 0.149074 | + | 0.192808i | ||||
\(23\) | 1.09942 | − | 0.218689i | 0.229246 | − | 0.0455998i | −0.0791306 | − | 0.996864i | \(-0.525214\pi\) |
0.308376 | + | 0.951264i | \(0.400214\pi\) | |||||||
\(24\) | 4.88298 | − | 0.395586i | 0.996734 | − | 0.0807486i | ||||
\(25\) | 1.52973 | − | 7.69045i | 0.305945 | − | 1.53809i | ||||
\(26\) | 0.801461 | − | 2.38981i | 0.157179 | − | 0.468680i | ||||
\(27\) | −0.577167 | − | 5.16400i | −0.111076 | − | 0.993812i | ||||
\(28\) | −3.79497 | − | 0.987062i | −0.717182 | − | 0.186537i | ||||
\(29\) | −8.16321 | − | 2.47628i | −1.51587 | − | 0.459834i | −0.580725 | − | 0.814100i | \(-0.697231\pi\) |
−0.935145 | + | 0.354266i | \(0.884731\pi\) | |||||||
\(30\) | −8.77033 | + | 0.357781i | −1.60124 | + | 0.0653215i | ||||
\(31\) | −3.89061 | + | 3.89061i | −0.698775 | + | 0.698775i | −0.964146 | − | 0.265371i | \(-0.914505\pi\) |
0.265371 | + | 0.964146i | \(0.414505\pi\) | |||||||
\(32\) | −5.48458 | + | 1.38541i | −0.969546 | + | 0.244907i | ||||
\(33\) | −0.918501 | + | 1.05664i | −0.159891 | + | 0.183938i | ||||
\(34\) | 5.13500 | − | 4.84495i | 0.880645 | − | 0.830903i | ||||
\(35\) | 6.72324 | + | 2.03947i | 1.13644 | + | 0.344734i | ||||
\(36\) | 1.64598 | + | 5.76981i | 0.274330 | + | 0.961636i | ||||
\(37\) | −6.27380 | − | 0.617915i | −1.03141 | − | 0.101585i | −0.431873 | − | 0.901934i | \(-0.642147\pi\) |
−0.599533 | + | 0.800350i | \(0.704647\pi\) | |||||||
\(38\) | 2.96709 | + | 5.96141i | 0.481326 | + | 0.967069i | ||||
\(39\) | 3.06244 | + | 0.389549i | 0.490383 | + | 0.0623778i | ||||
\(40\) | 9.91840 | − | 2.08667i | 1.56824 | − | 0.329931i | ||||
\(41\) | 7.63277 | − | 1.51825i | 1.19204 | − | 0.237111i | 0.441085 | − | 0.897465i | \(-0.354594\pi\) |
0.750954 | + | 0.660354i | \(0.229594\pi\) | |||||||
\(42\) | 0.275527 | − | 4.79460i | 0.0425147 | − | 0.739823i | ||||
\(43\) | −5.80320 | + | 10.8570i | −0.884980 | + | 1.65568i | −0.138410 | + | 0.990375i | \(0.544199\pi\) |
−0.746570 | + | 0.665307i | \(0.768301\pi\) | |||||||
\(44\) | 0.843596 | − | 1.37908i | 0.127177 | − | 0.207904i | ||||
\(45\) | −2.53270 | − | 10.4477i | −0.377553 | − | 1.55746i | ||||
\(46\) | −0.842071 | − | 1.34314i | −0.124157 | − | 0.198036i | ||||
\(47\) | −1.62661 | − | 3.92699i | −0.237266 | − | 0.572810i | 0.759732 | − | 0.650236i | \(-0.225330\pi\) |
−0.996998 | + | 0.0774256i | \(0.975330\pi\) | |||||||
\(48\) | −2.97905 | − | 6.25502i | −0.429989 | − | 0.902834i | ||||
\(49\) | 1.20774 | − | 2.91575i | 0.172535 | − | 0.416535i | ||||
\(50\) | −10.9342 | + | 1.84649i | −1.54633 | + | 0.261133i | ||||
\(51\) | 7.05029 | + | 5.00561i | 0.987238 | + | 0.700925i | ||||
\(52\) | −3.56183 | + | 0.142781i | −0.493937 | + | 0.0198001i | ||||
\(53\) | −4.60562 | + | 1.39710i | −0.632630 | + | 0.191906i | −0.590283 | − | 0.807197i | \(-0.700984\pi\) |
−0.0423477 | + | 0.999103i | \(0.513484\pi\) | |||||||
\(54\) | −6.53511 | + | 3.36041i | −0.889316 | + | 0.457294i | ||||
\(55\) | −1.60925 | + | 2.40841i | −0.216991 | + | 0.324750i | ||||
\(56\) | 0.604277 | + | 5.51244i | 0.0807499 | + | 0.736631i | ||||
\(57\) | −6.44845 | + | 4.99306i | −0.854118 | + | 0.661347i | ||||
\(58\) | 0.833197 | + | 12.0352i | 0.109404 | + | 1.58030i | ||||
\(59\) | −0.748880 | + | 0.614590i | −0.0974959 | + | 0.0800128i | −0.681879 | − | 0.731465i | \(-0.738837\pi\) |
0.584383 | + | 0.811478i | \(0.301337\pi\) | |||||||
\(60\) | 4.88446 | + | 11.4121i | 0.630581 | + | 1.47329i | ||||
\(61\) | −4.17908 | − | 7.81851i | −0.535077 | − | 1.00106i | −0.993662 | − | 0.112408i | \(-0.964144\pi\) |
0.458586 | − | 0.888650i | \(-0.348356\pi\) | |||||||
\(62\) | 7.09938 | + | 3.18534i | 0.901622 | + | 0.404538i | ||||
\(63\) | 5.82459 | − | 0.818754i | 0.733829 | − | 0.103153i | ||||
\(64\) | 4.58994 | + | 6.55228i | 0.573743 | + | 0.819036i | ||||
\(65\) | 6.38695 | 0.792204 | ||||||||
\(66\) | 1.85862 | + | 0.682511i | 0.228780 | + | 0.0840113i | ||||
\(67\) | −3.05610 | + | 1.63352i | −0.373362 | + | 0.199566i | −0.647396 | − | 0.762154i | \(-0.724142\pi\) |
0.274034 | + | 0.961720i | \(0.411642\pi\) | |||||||
\(68\) | −8.98670 | − | 4.35004i | −1.08980 | − | 0.527520i | ||||
\(69\) | 1.41126 | − | 1.33343i | 0.169895 | − | 0.160526i | ||||
\(70\) | −0.686224 | − | 9.91222i | −0.0820194 | − | 1.18474i | ||||
\(71\) | 1.49248 | + | 2.23366i | 0.177125 | + | 0.265086i | 0.909400 | − | 0.415923i | \(-0.136541\pi\) |
−0.732275 | + | 0.681009i | \(0.761541\pi\) | |||||||
\(72\) | 6.79821 | − | 5.07783i | 0.801177 | − | 0.598428i | ||||
\(73\) | 8.92961 | + | 5.96657i | 1.04513 | + | 0.698334i | 0.954701 | − | 0.297568i | \(-0.0961756\pi\) |
0.0904309 | + | 0.995903i | \(0.471176\pi\) | |||||||
\(74\) | 2.33907 | + | 8.60311i | 0.271911 | + | 1.00009i | ||||
\(75\) | −4.83957 | − | 12.6897i | −0.558825 | − | 1.46528i | ||||
\(76\) | 6.38692 | − | 6.92036i | 0.732630 | − | 0.793820i | ||||
\(77\) | −1.22507 | − | 1.00539i | −0.139610 | − | 0.114575i | ||||
\(78\) | −1.02556 | − | 4.24368i | −0.116122 | − | 0.480502i | ||||
\(79\) | 2.22130 | + | 0.920092i | 0.249916 | + | 0.103518i | 0.504125 | − | 0.863631i | \(-0.331815\pi\) |
−0.254209 | + | 0.967149i | \(0.581815\pi\) | |||||||
\(80\) | −7.74708 | − | 12.0599i | −0.866150 | − | 1.34833i | ||||
\(81\) | −5.60302 | − | 7.04317i | −0.622557 | − | 0.782574i | ||||
\(82\) | −5.84609 | − | 9.32480i | −0.645593 | − | 1.02975i | ||||
\(83\) | 16.0611 | − | 1.58188i | 1.76294 | − | 0.173634i | 0.835969 | − | 0.548776i | \(-0.184906\pi\) |
0.926967 | + | 0.375142i | \(0.122406\pi\) | |||||||
\(84\) | −6.47578 | + | 2.04756i | −0.706565 | + | 0.223407i | ||||
\(85\) | 15.7766 | + | 8.43276i | 1.71121 | + | 0.914661i | ||||
\(86\) | 17.2692 | + | 2.20909i | 1.86218 | + | 0.238212i | ||||
\(87\) | −14.2550 | + | 3.88656i | −1.52829 | + | 0.416683i | ||||
\(88\) | −2.24712 | − | 0.421315i | −0.239544 | − | 0.0449124i | ||||
\(89\) | −0.636005 | + | 3.19741i | −0.0674163 | + | 0.338925i | −0.999742 | − | 0.0226937i | \(-0.992776\pi\) |
0.932326 | + | 0.361619i | \(0.117776\pi\) | |||||||
\(90\) | −12.5352 | + | 8.60289i | −1.32132 | + | 0.906824i | ||||
\(91\) | −0.342521 | + | 3.47767i | −0.0359059 | + | 0.364559i | ||||
\(92\) | −1.35171 | + | 1.78861i | −0.140925 | + | 0.186475i | ||||
\(93\) | −2.12340 | + | 9.29045i | −0.220186 | + | 0.963375i | ||||
\(94\) | −4.37223 | + | 4.12527i | −0.450961 | + | 0.425489i | ||||
\(95\) | −11.9311 | + | 11.9311i | −1.22410 | + | 1.22410i | ||||
\(96\) | −6.76897 | + | 7.08386i | −0.690855 | + | 0.722993i | ||||
\(97\) | 9.83349 | + | 9.83349i | 0.998440 | + | 0.998440i | 0.999999 | − | 0.00155882i | \(-0.000496188\pi\) |
−0.00155882 | + | 0.999999i | \(0.500496\pi\) | |||||||
\(98\) | −4.46135 | − | 0.129661i | −0.450664 | − | 0.0130977i | ||||
\(99\) | −0.374056 | + | 2.39594i | −0.0375940 | + | 0.240801i | ||||
\(100\) | 7.94059 | + | 13.5233i | 0.794059 | + | 1.35233i | ||||
\(101\) | 16.2484 | + | 1.60033i | 1.61678 | + | 0.159238i | 0.865555 | − | 0.500813i | \(-0.166966\pi\) |
0.751220 | + | 0.660052i | \(0.229466\pi\) | |||||||
\(102\) | 3.06971 | − | 11.8365i | 0.303946 | − | 1.17199i | ||||
\(103\) | −4.18682 | − | 0.832811i | −0.412540 | − | 0.0820593i | −0.0155430 | − | 0.999879i | \(-0.504948\pi\) |
−0.396997 | + | 0.917820i | \(0.629948\pi\) | |||||||
\(104\) | 1.98036 | + | 4.63597i | 0.194190 | + | 0.454595i | ||||
\(105\) | 11.7404 | − | 3.20098i | 1.14575 | − | 0.312384i | ||||
\(106\) | 4.16327 | + | 5.38465i | 0.404372 | + | 0.523003i | ||||
\(107\) | −1.58524 | + | 2.96577i | −0.153251 | + | 0.286712i | −0.946817 | − | 0.321772i | \(-0.895722\pi\) |
0.793567 | + | 0.608483i | \(0.208222\pi\) | |||||||
\(108\) | 7.72880 | + | 6.94735i | 0.743704 | + | 0.668509i | ||||
\(109\) | −0.439012 | − | 4.45736i | −0.0420497 | − | 0.426938i | −0.993045 | − | 0.117733i | \(-0.962437\pi\) |
0.950996 | − | 0.309205i | \(-0.100063\pi\) | |||||||
\(110\) | 3.99275 | + | 0.915542i | 0.380694 | + | 0.0872935i | ||||
\(111\) | −9.77183 | + | 4.87222i | −0.927501 | + | 0.462451i | ||||
\(112\) | 6.98202 | − | 3.57151i | 0.659739 | − | 0.337476i | ||||
\(113\) | 6.62818 | − | 16.0018i | 0.623527 | − | 1.50533i | −0.224008 | − | 0.974587i | \(-0.571914\pi\) |
0.847535 | − | 0.530739i | \(-0.178086\pi\) | |||||||
\(114\) | 9.84314 | + | 6.01157i | 0.921894 | + | 0.563035i | ||||
\(115\) | 2.54830 | − | 3.10512i | 0.237630 | − | 0.289554i | ||||
\(116\) | 15.4882 | − | 7.15509i | 1.43804 | − | 0.664334i | ||||
\(117\) | 4.85092 | − | 2.24931i | 0.448468 | − | 0.207949i | ||||
\(118\) | 1.18902 | + | 0.680675i | 0.109458 | + | 0.0626612i | ||||
\(119\) | −5.43768 | + | 8.13806i | −0.498471 | + | 0.746015i | ||||
\(120\) | 12.6268 | − | 12.1964i | 1.15266 | − | 1.11337i | ||||
\(121\) | −8.60290 | + | 5.74827i | −0.782082 | + | 0.522570i | ||||
\(122\) | −8.23187 | + | 9.45643i | −0.745278 | + | 0.856145i | ||||
\(123\) | 9.79767 | − | 9.25736i | 0.883426 | − | 0.834708i | ||||
\(124\) | 0.639100 | − | 10.9857i | 0.0573929 | − | 0.986549i | ||||
\(125\) | −4.79928 | − | 8.97883i | −0.429261 | − | 0.803091i | ||||
\(126\) | −4.01200 | − | 7.28671i | −0.357418 | − | 0.649152i | ||||
\(127\) | 13.1873i | 1.17018i | 0.810968 | + | 0.585090i | \(0.198941\pi\) | ||||
−0.810968 | + | 0.585090i | \(0.801059\pi\) | |||||||
\(128\) | 6.35158 | − | 9.36255i | 0.561406 | − | 0.827541i | ||||
\(129\) | 1.48768 | + | 21.2707i | 0.130983 | + | 1.87278i | ||||
\(130\) | −3.21270 | − | 8.44185i | −0.281773 | − | 0.740399i | ||||
\(131\) | 0.374543 | − | 0.200197i | 0.0327239 | − | 0.0174913i | −0.454954 | − | 0.890515i | \(-0.650344\pi\) |
0.487678 | + | 0.873024i | \(0.337844\pi\) | |||||||
\(132\) | −0.0328076 | − | 2.79991i | −0.00285554 | − | 0.243701i | ||||
\(133\) | −5.85658 | − | 7.13627i | −0.507830 | − | 0.618793i | ||||
\(134\) | 3.69633 | + | 3.21767i | 0.319314 | + | 0.277965i | ||||
\(135\) | −13.3382 | − | 12.9924i | −1.14797 | − | 1.11821i | ||||
\(136\) | −1.22919 | + | 14.0661i | −0.105402 | + | 1.20616i | ||||
\(137\) | 1.33658 | + | 0.893075i | 0.114192 | + | 0.0763006i | 0.611355 | − | 0.791357i | \(-0.290625\pi\) |
−0.497163 | + | 0.867657i | \(0.665625\pi\) | |||||||
\(138\) | −2.47231 | − | 1.19457i | −0.210457 | − | 0.101689i | ||||
\(139\) | 3.71122 | + | 12.2342i | 0.314781 | + | 1.03770i | 0.961463 | + | 0.274935i | \(0.0886564\pi\) |
−0.646681 | + | 0.762760i | \(0.723844\pi\) | |||||||
\(140\) | −12.7561 | + | 5.89296i | −1.07809 | + | 0.498046i | ||||
\(141\) | −6.00302 | − | 4.26206i | −0.505545 | − | 0.358930i | ||||
\(142\) | 2.20157 | − | 3.09622i | 0.184751 | − | 0.259829i | ||||
\(143\) | −1.33104 | − | 0.551334i | −0.111307 | − | 0.0461049i | ||||
\(144\) | −10.1311 | − | 6.43122i | −0.844259 | − | 0.535935i | ||||
\(145\) | −28.2418 | + | 11.6981i | −2.34536 | + | 0.971478i | ||||
\(146\) | 3.39453 | − | 14.8038i | 0.280933 | − | 1.22517i | ||||
\(147\) | −0.914037 | − | 5.38936i | −0.0753885 | − | 0.444507i | ||||
\(148\) | 10.1944 | − | 7.41908i | 0.837978 | − | 0.609845i | ||||
\(149\) | −12.2778 | − | 6.56261i | −1.00583 | − | 0.537630i | −0.115679 | − | 0.993287i | \(-0.536904\pi\) |
−0.890155 | + | 0.455657i | \(0.849404\pi\) | |||||||
\(150\) | −14.3380 | + | 12.7797i | −1.17069 | + | 1.04346i | ||||
\(151\) | −0.252442 | − | 1.26911i | −0.0205435 | − | 0.103279i | 0.969153 | − | 0.246459i | \(-0.0792671\pi\) |
−0.989697 | + | 0.143180i | \(0.954267\pi\) | |||||||
\(152\) | −12.3596 | − | 4.96079i | −1.00249 | − | 0.402373i | ||||
\(153\) | 14.9522 | + | 0.848638i | 1.20881 | + | 0.0686084i | ||||
\(154\) | −0.712633 | + | 2.12494i | −0.0574256 | + | 0.171232i | ||||
\(155\) | −1.93258 | + | 19.6218i | −0.155228 | + | 1.57606i | ||||
\(156\) | −5.09314 | + | 3.49013i | −0.407778 | + | 0.279434i | ||||
\(157\) | 4.16098 | − | 13.7169i | 0.332083 | − | 1.09473i | −0.618896 | − | 0.785473i | \(-0.712420\pi\) |
0.950979 | − | 0.309257i | \(-0.100080\pi\) | |||||||
\(158\) | 0.0987793 | − | 3.39878i | 0.00785846 | − | 0.270393i | ||||
\(159\) | −5.46890 | + | 6.29142i | −0.433712 | + | 0.498942i | ||||
\(160\) | −12.0431 | + | 16.3058i | −0.952088 | + | 1.28909i | ||||
\(161\) | 1.55406 | + | 1.55406i | 0.122477 | + | 0.122477i | ||||
\(162\) | −6.49082 | + | 10.9485i | −0.509967 | + | 0.860194i | ||||
\(163\) | 6.18897 | − | 20.4023i | 0.484758 | − | 1.59803i | −0.284222 | − | 0.958759i | \(-0.591735\pi\) |
0.768979 | − | 0.639273i | \(-0.220765\pi\) | |||||||
\(164\) | −9.38425 | + | 12.4175i | −0.732787 | + | 0.969640i | ||||
\(165\) | −0.142203 | + | 5.01499i | −0.0110705 | + | 0.390417i | ||||
\(166\) | −10.1697 | − | 20.4328i | −0.789325 | − | 1.58589i | ||||
\(167\) | −24.3741 | − | 4.84831i | −1.88612 | − | 0.375173i | −0.889476 | − | 0.456983i | \(-0.848930\pi\) |
−0.996648 | + | 0.0818094i | \(0.973930\pi\) | |||||||
\(168\) | 5.96372 | + | 7.52931i | 0.460111 | + | 0.580899i | ||||
\(169\) | −1.91642 | − | 9.63449i | −0.147417 | − | 0.741115i | ||||
\(170\) | 3.21007 | − | 25.0942i | 0.246201 | − | 1.92464i | ||||
\(171\) | −4.85991 | + | 13.2635i | −0.371647 | + | 1.01429i | ||||
\(172\) | −5.76676 | − | 23.9365i | −0.439711 | − | 1.82514i | ||||
\(173\) | −1.16114 | − | 11.7892i | −0.0882796 | − | 0.896318i | −0.932704 | − | 0.360643i | \(-0.882557\pi\) |
0.844424 | − | 0.535675i | \(-0.179943\pi\) | |||||||
\(174\) | 12.3074 | + | 16.8863i | 0.933022 | + | 1.28015i | ||||
\(175\) | 14.2032 | − | 5.88315i | 1.07366 | − | 0.444724i | ||||
\(176\) | 0.573458 | + | 3.18202i | 0.0432260 | + | 0.239854i | ||||
\(177\) | −0.532410 | + | 1.59128i | −0.0400184 | + | 0.119608i | ||||
\(178\) | 4.54604 | − | 0.767704i | 0.340740 | − | 0.0575418i | ||||
\(179\) | −11.5799 | + | 14.1101i | −0.865520 | + | 1.05464i | 0.132465 | + | 0.991188i | \(0.457711\pi\) |
−0.997985 | + | 0.0634517i | \(0.979789\pi\) | |||||||
\(180\) | 17.6761 | + | 12.2408i | 1.31750 | + | 0.912375i | ||||
\(181\) | 3.48411 | + | 11.4856i | 0.258972 | + | 0.853716i | 0.985948 | + | 0.167053i | \(0.0534251\pi\) |
−0.726976 | + | 0.686663i | \(0.759075\pi\) | |||||||
\(182\) | 4.76885 | − | 1.29659i | 0.353490 | − | 0.0961093i | ||||
\(183\) | −13.3315 | − | 7.61931i | −0.985489 | − | 0.563236i | ||||
\(184\) | 3.04399 | + | 0.886906i | 0.224406 | + | 0.0653836i | ||||
\(185\) | −18.7834 | + | 12.5507i | −1.38098 | + | 0.922744i | ||||
\(186\) | 13.3476 | − | 1.86663i | 0.978693 | − | 0.136868i | ||||
\(187\) | −2.55990 | − | 3.11925i | −0.187199 | − | 0.228102i | ||||
\(188\) | 7.65179 | + | 3.70387i | 0.558064 | + | 0.270133i | ||||
\(189\) | 7.78963 | − | 6.56583i | 0.566612 | − | 0.477594i | ||||
\(190\) | 21.7712 | + | 9.76824i | 1.57945 | + | 0.708663i | ||||
\(191\) | − | 18.5985i | − | 1.34574i | −0.739760 | − | 0.672870i | \(-0.765061\pi\) | ||
0.739760 | − | 0.672870i | \(-0.234939\pi\) | |||||||
\(192\) | 12.7678 | + | 5.38352i | 0.921439 | + | 0.388522i | ||||
\(193\) | 11.1112i | 0.799803i | 0.916558 | + | 0.399902i | \(0.130956\pi\) | ||||
−0.916558 | + | 0.399902i | \(0.869044\pi\) | |||||||
\(194\) | 8.05091 | − | 17.9436i | 0.578021 | − | 1.28828i | ||||
\(195\) | 9.36866 | − | 5.88282i | 0.670903 | − | 0.421278i | ||||
\(196\) | 2.07273 | + | 5.96194i | 0.148052 | + | 0.425853i | ||||
\(197\) | −13.4022 | − | 16.3307i | −0.954869 | − | 1.16351i | −0.986459 | − | 0.164011i | \(-0.947557\pi\) |
0.0315893 | − | 0.999501i | \(-0.489943\pi\) | |||||||
\(198\) | 3.35494 | − | 0.710780i | 0.238425 | − | 0.0505129i | ||||
\(199\) | 5.08250 | − | 3.39602i | 0.360289 | − | 0.240737i | −0.362230 | − | 0.932089i | \(-0.617984\pi\) |
0.722518 | + | 0.691352i | \(0.242984\pi\) | |||||||
\(200\) | 13.8800 | − | 17.2977i | 0.981463 | − | 1.22313i | ||||
\(201\) | −2.97824 | + | 5.21100i | −0.210069 | + | 0.367556i | ||||
\(202\) | −6.05791 | − | 22.2810i | −0.426233 | − | 1.56769i | ||||
\(203\) | −4.85504 | − | 16.0049i | −0.340757 | − | 1.12333i | ||||
\(204\) | −17.1888 | + | 1.89654i | −1.20345 | + | 0.132785i | ||||
\(205\) | 17.6917 | − | 21.5573i | 1.23564 | − | 1.50563i | ||||
\(206\) | 1.00526 | + | 5.95278i | 0.0700400 | + | 0.414750i | ||||
\(207\) | 0.841911 | − | 3.25579i | 0.0585169 | − | 0.226293i | ||||
\(208\) | 5.13138 | − | 4.94945i | 0.355797 | − | 0.343183i | ||||
\(209\) | 3.51635 | − | 1.45652i | 0.243231 | − | 0.100749i | ||||
\(210\) | −10.1364 | − | 13.9076i | −0.699480 | − | 0.959717i | ||||
\(211\) | −1.33006 | − | 13.5043i | −0.0915648 | − | 0.929673i | −0.925737 | − | 0.378169i | \(-0.876554\pi\) |
0.834172 | − | 0.551505i | \(-0.185946\pi\) | |||||||
\(212\) | 5.02290 | − | 8.21127i | 0.344974 | − | 0.563952i | ||||
\(213\) | 4.24659 | + | 1.90175i | 0.290972 | + | 0.130306i | ||||
\(214\) | 4.71735 | + | 0.603446i | 0.322471 | + | 0.0412507i | ||||
\(215\) | 8.60634 | + | 43.2670i | 0.586947 | + | 2.95078i | ||||
\(216\) | 5.29488 | − | 13.7100i | 0.360271 | − | 0.932848i | ||||
\(217\) | −10.5803 | − | 2.10456i | −0.718241 | − | 0.142867i | ||||
\(218\) | −5.67062 | + | 2.82236i | −0.384063 | + | 0.191154i | ||||
\(219\) | 18.5940 | + | 0.527243i | 1.25646 | + | 0.0356278i | ||||
\(220\) | −0.798294 | − | 5.73788i | −0.0538210 | − | 0.386848i | ||||
\(221\) | −2.58284 | + | 8.51449i | −0.173741 | + | 0.572747i | ||||
\(222\) | 11.3551 | + | 10.4650i | 0.762105 | + | 0.702363i | ||||
\(223\) | 6.56954 | + | 6.56954i | 0.439929 | + | 0.439929i | 0.891988 | − | 0.452059i | \(-0.149310\pi\) |
−0.452059 | + | 0.891988i | \(0.649310\pi\) | |||||||
\(224\) | −8.23262 | − | 7.43186i | −0.550065 | − | 0.496562i | ||||
\(225\) | −18.7870 | − | 14.1562i | −1.25246 | − | 0.943746i | ||||
\(226\) | −24.4842 | − | 0.711588i | −1.62867 | − | 0.0473342i | ||||
\(227\) | 8.34592 | − | 27.5128i | 0.553938 | − | 1.82609i | −0.00953549 | − | 0.999955i | \(-0.503035\pi\) |
0.563473 | − | 0.826134i | \(-0.309465\pi\) | |||||||
\(228\) | 2.99448 | − | 16.0339i | 0.198315 | − | 1.06187i | ||||
\(229\) | −2.03951 | + | 20.7075i | −0.134774 | + | 1.36839i | 0.655296 | + | 0.755372i | \(0.272544\pi\) |
−0.790070 | + | 0.613016i | \(0.789956\pi\) | |||||||
\(230\) | −5.38596 | − | 1.80627i | −0.355140 | − | 0.119102i | ||||
\(231\) | −2.72302 | − | 0.346374i | −0.179162 | − | 0.0227898i | ||||
\(232\) | −17.2479 | − | 16.8722i | −1.13238 | − | 1.10771i | ||||
\(233\) | 4.29540 | + | 21.5944i | 0.281401 | + | 1.41470i | 0.820110 | + | 0.572206i | \(0.193912\pi\) |
−0.538709 | + | 0.842492i | \(0.681088\pi\) | |||||||
\(234\) | −5.41306 | − | 5.28020i | −0.353863 | − | 0.345177i | ||||
\(235\) | −13.4331 | − | 7.18013i | −0.876278 | − | 0.468380i | ||||
\(236\) | 0.301581 | − | 1.91395i | 0.0196312 | − | 0.124588i | ||||
\(237\) | 4.10577 | − | 0.696339i | 0.266698 | − | 0.0452321i | ||||
\(238\) | 13.4916 | + | 3.09363i | 0.874528 | + | 0.200530i | ||||
\(239\) | −8.68515 | + | 3.59750i | −0.561795 | + | 0.232703i | −0.645464 | − | 0.763790i | \(-0.723336\pi\) |
0.0836691 | + | 0.996494i | \(0.473336\pi\) | |||||||
\(240\) | −22.4717 | − | 10.5543i | −1.45054 | − | 0.681280i | ||||
\(241\) | −2.23964 | − | 0.927688i | −0.144268 | − | 0.0597577i | 0.309381 | − | 0.950938i | \(-0.399878\pi\) |
−0.453649 | + | 0.891180i | \(0.649878\pi\) | |||||||
\(242\) | 11.9250 | + | 8.47930i | 0.766571 | + | 0.545070i | ||||
\(243\) | −14.7060 | − | 5.17046i | −0.943390 | − | 0.331685i | ||||
\(244\) | 16.6396 | + | 6.12365i | 1.06524 | + | 0.392026i | ||||
\(245\) | −3.28292 | − | 10.8223i | −0.209738 | − | 0.691413i | ||||
\(246\) | −17.1641 | − | 8.29336i | −1.09434 | − | 0.528765i | ||||
\(247\) | −6.97801 | − | 4.66256i | −0.444000 | − | 0.296671i | ||||
\(248\) | −14.8417 | + | 4.68123i | −0.942449 | + | 0.297258i | ||||
\(249\) | 22.1021 | − | 17.1138i | 1.40067 | − | 1.08454i | ||||
\(250\) | −9.45353 | + | 10.8598i | −0.597893 | + | 0.686835i | ||||
\(251\) | 9.06437 | + | 11.0450i | 0.572138 | + | 0.697152i | 0.976025 | − | 0.217657i | \(-0.0698413\pi\) |
−0.403888 | + | 0.914809i | \(0.632341\pi\) | |||||||
\(252\) | −7.61301 | + | 8.96810i | −0.479574 | + | 0.564937i | ||||
\(253\) | −0.799105 | + | 0.427131i | −0.0502393 | + | 0.0268535i | ||||
\(254\) | 17.4301 | − | 6.63334i | 1.09366 | − | 0.416213i | ||||
\(255\) | 30.9089 | − | 2.16179i | 1.93559 | − | 0.135376i | ||||
\(256\) | −15.5697 | − | 3.68564i | −0.973107 | − | 0.230352i | ||||
\(257\) | − | 10.0797i | − | 0.628752i | −0.949299 | − | 0.314376i | \(-0.898205\pi\) | ||
0.949299 | − | 0.314376i | \(-0.101795\pi\) | |||||||
\(258\) | 27.3659 | − | 12.6657i | 1.70373 | − | 0.788534i | ||||
\(259\) | −5.82648 | − | 10.9006i | −0.362040 | − | 0.677329i | ||||
\(260\) | −9.54185 | + | 8.49268i | −0.591760 | + | 0.526694i | ||||
\(261\) | −17.3300 | + | 18.8308i | −1.07270 | + | 1.16560i | ||||
\(262\) | −0.453006 | − | 0.394344i | −0.0279868 | − | 0.0243627i | ||||
\(263\) | 20.4504 | − | 13.6645i | 1.26102 | − | 0.842589i | 0.268339 | − | 0.963325i | \(-0.413525\pi\) |
0.992685 | + | 0.120736i | \(0.0385253\pi\) | |||||||
\(264\) | −3.68423 | + | 1.45175i | −0.226749 | + | 0.0893489i | ||||
\(265\) | −9.58172 | + | 14.3401i | −0.588600 | + | 0.880903i | ||||
\(266\) | −6.48632 | + | 11.3305i | −0.397702 | + | 0.694715i | ||||
\(267\) | 2.01212 | + | 5.27591i | 0.123140 | + | 0.322880i | ||||
\(268\) | 2.39361 | − | 6.50409i | 0.146213 | − | 0.397301i | ||||
\(269\) | −5.45206 | + | 6.64336i | −0.332418 | + | 0.405053i | −0.912217 | − | 0.409707i | \(-0.865631\pi\) |
0.579799 | + | 0.814760i | \(0.303131\pi\) | |||||||
\(270\) | −10.4633 | + | 24.1649i | −0.636774 | + | 1.47063i | ||||
\(271\) | −1.07702 | + | 2.60016i | −0.0654244 | + | 0.157949i | −0.953210 | − | 0.302308i | \(-0.902243\pi\) |
0.887786 | + | 0.460257i | \(0.152243\pi\) | |||||||
\(272\) | 19.2100 | − | 5.45076i | 1.16478 | − | 0.330501i | ||||
\(273\) | 2.70075 | + | 5.41669i | 0.163457 | + | 0.327833i | ||||
\(274\) | 0.508093 | − | 2.21583i | 0.0306950 | − | 0.133863i | ||||
\(275\) | 0.621245 | + | 6.30760i | 0.0374625 | + | 0.380363i | ||||
\(276\) | −0.335309 | + | 3.86862i | −0.0201832 | + | 0.232864i | ||||
\(277\) | −8.02898 | + | 15.0212i | −0.482415 | + | 0.902535i | 0.516515 | + | 0.856278i | \(0.327229\pi\) |
−0.998930 | + | 0.0462564i | \(0.985271\pi\) | |||||||
\(278\) | 14.3036 | − | 11.0592i | 0.857875 | − | 0.663287i | ||||
\(279\) | 5.44246 | + | 15.5834i | 0.325831 | + | 0.932956i | ||||
\(280\) | 14.2054 | + | 13.8960i | 0.848935 | + | 0.830444i | ||||
\(281\) | 1.48063 | + | 0.294516i | 0.0883271 | + | 0.0175694i | 0.239056 | − | 0.971006i | \(-0.423162\pi\) |
−0.150729 | + | 0.988575i | \(0.548162\pi\) | |||||||
\(282\) | −2.61372 | + | 10.0783i | −0.155645 | + | 0.600151i | ||||
\(283\) | 6.08278 | + | 0.599102i | 0.361584 | + | 0.0356129i | 0.277178 | − | 0.960819i | \(-0.410601\pi\) |
0.0844057 | + | 0.996431i | \(0.473101\pi\) | |||||||
\(284\) | −5.19979 | − | 1.35245i | −0.308551 | − | 0.0802533i | ||||
\(285\) | −6.51167 | + | 28.4904i | −0.385718 | + | 1.68762i | ||||
\(286\) | −0.0591901 | + | 2.03661i | −0.00349999 | + | 0.120427i | ||||
\(287\) | 10.7891 | + | 10.7891i | 0.636862 | + | 0.636862i | ||||
\(288\) | −3.40430 | + | 16.6256i | −0.200600 | + | 0.979673i | ||||
\(289\) | −5.60092 | + | 5.60092i | −0.329466 | + | 0.329466i | ||||
\(290\) | 29.6678 | + | 31.4439i | 1.74215 | + | 1.84645i | ||||
\(291\) | 23.4815 | + | 5.36687i | 1.37651 | + | 0.314611i | ||||
\(292\) | −21.2742 | + | 2.95981i | −1.24498 | + | 0.173210i | ||||
\(293\) | −1.25097 | + | 12.7013i | −0.0730824 | + | 0.742018i | 0.886901 | + | 0.461960i | \(0.152854\pi\) |
−0.959983 | + | 0.280058i | \(0.909646\pi\) | |||||||
\(294\) | −6.66353 | + | 3.91902i | −0.388625 | + | 0.228562i | ||||
\(295\) | −0.677273 | + | 3.40488i | −0.0394324 | + | 0.198240i | ||||
\(296\) | −14.9340 | − | 9.74246i | −0.868019 | − | 0.566269i | ||||
\(297\) | 1.65814 | + | 3.85899i | 0.0962151 | + | 0.223922i | ||||
\(298\) | −2.49816 | + | 19.5290i | −0.144715 | + | 1.13129i | ||||
\(299\) | 1.76203 | + | 0.941824i | 0.101901 | + | 0.0544671i | ||||
\(300\) | 24.1035 | + | 12.5227i | 1.39162 | + | 0.723000i | ||||
\(301\) | −24.0203 | + | 2.36579i | −1.38450 | + | 0.136362i | ||||
\(302\) | −1.55045 | + | 0.972039i | −0.0892183 | + | 0.0559346i | ||||
\(303\) | 25.3079 | − | 12.6185i | 1.45390 | − | 0.724912i | ||||
\(304\) | −0.339851 | + | 18.8314i | −0.0194918 | + | 1.08005i | ||||
\(305\) | −29.3502 | − | 12.1572i | −1.68059 | − | 0.696122i | ||||
\(306\) | −6.39944 | − | 20.1897i | −0.365832 | − | 1.15417i | ||||
\(307\) | −11.7213 | − | 9.61945i | −0.668972 | − | 0.549011i | 0.237442 | − | 0.971402i | \(-0.423691\pi\) |
−0.906414 | + | 0.422391i | \(0.861191\pi\) | |||||||
\(308\) | 3.16707 | − | 0.126956i | 0.180460 | − | 0.00723399i | ||||
\(309\) | −6.90849 | + | 2.63475i | −0.393010 | + | 0.149886i | ||||
\(310\) | 26.9069 | − | 7.31562i | 1.52821 | − | 0.415499i | ||||
\(311\) | −6.85850 | − | 4.58270i | −0.388910 | − | 0.259861i | 0.345708 | − | 0.938342i | \(-0.387639\pi\) |
−0.734618 | + | 0.678481i | \(0.762639\pi\) | |||||||
\(312\) | 7.17493 | + | 4.97620i | 0.406200 | + | 0.281722i | ||||
\(313\) | −0.756964 | − | 1.13288i | −0.0427861 | − | 0.0640340i | 0.809460 | − | 0.587175i | \(-0.199760\pi\) |
−0.852246 | + | 0.523141i | \(0.824760\pi\) | |||||||
\(314\) | −20.2231 | + | 1.40005i | −1.14126 | + | 0.0790094i | ||||
\(315\) | 14.2731 | − | 15.5091i | 0.804197 | − | 0.873839i | ||||
\(316\) | −4.54197 | + | 1.57907i | −0.255506 | + | 0.0888293i | ||||
\(317\) | −1.68547 | + | 0.900905i | −0.0946656 | + | 0.0505998i | −0.518050 | − | 0.855350i | \(-0.673342\pi\) |
0.423385 | + | 0.905950i | \(0.360842\pi\) | |||||||
\(318\) | 11.0665 | + | 4.06377i | 0.620578 | + | 0.227885i | ||||
\(319\) | 6.89539 | 0.386068 | ||||||||
\(320\) | 27.6098 | + | 7.71572i | 1.54343 | + | 0.431322i | ||||
\(321\) | 0.406384 | + | 5.81043i | 0.0226822 | + | 0.324307i | ||||
\(322\) | 1.27235 | − | 2.83577i | 0.0709051 | − | 0.158031i | ||||
\(323\) | −11.0806 | − | 20.7303i | −0.616539 | − | 1.15346i | ||||
\(324\) | 17.7359 | + | 3.07192i | 0.985330 | + | 0.170662i | ||||
\(325\) | 10.8033 | − | 8.86601i | 0.599258 | − | 0.491798i | ||||
\(326\) | −30.0795 | + | 2.08241i | −1.66595 | + | 0.115334i | ||||
\(327\) | −4.74950 | − | 6.13390i | −0.262648 | − | 0.339205i | ||||
\(328\) | 21.1329 | + | 6.15736i | 1.16687 | + | 0.339984i | ||||
\(329\) | 4.62995 | − | 6.92921i | 0.255257 | − | 0.382020i | ||||
\(330\) | 6.70002 | − | 2.33464i | 0.368824 | − | 0.128518i | ||||
\(331\) | 13.5039 | − | 4.09636i | 0.742240 | − | 0.225156i | 0.103554 | − | 0.994624i | \(-0.466978\pi\) |
0.638686 | + | 0.769468i | \(0.279478\pi\) | |||||||
\(332\) | −21.8913 | + | 23.7196i | −1.20144 | + | 1.30178i | ||||
\(333\) | −9.84609 | + | 16.1473i | −0.539563 | + | 0.884867i | ||||
\(334\) | 5.85226 | + | 34.6548i | 0.320221 | + | 1.89623i | ||||
\(335\) | −4.75203 | + | 11.4724i | −0.259631 | + | 0.626805i | ||||
\(336\) | 6.95192 | − | 11.6698i | 0.379259 | − | 0.636638i | ||||
\(337\) | 3.96830 | + | 9.58032i | 0.216167 | + | 0.521873i | 0.994348 | − | 0.106166i | \(-0.0338576\pi\) |
−0.778181 | + | 0.628040i | \(0.783858\pi\) | |||||||
\(338\) | −11.7703 | + | 7.37925i | −0.640217 | + | 0.401378i | ||||
\(339\) | −5.01630 | − | 29.5772i | −0.272448 | − | 1.60641i | ||||
\(340\) | −34.7826 | + | 8.37981i | −1.88635 | + | 0.454459i | ||||
\(341\) | 2.09654 | − | 3.92235i | 0.113534 | − | 0.212407i | ||||
\(342\) | 19.9754 | − | 0.248184i | 1.08015 | − | 0.0134202i | ||||
\(343\) | 19.5294 | − | 3.88464i | 1.05449 | − | 0.209751i | ||||
\(344\) | −28.7369 | + | 19.6624i | −1.54939 | + | 1.06013i | ||||
\(345\) | 0.877935 | − | 6.90188i | 0.0472664 | − | 0.371585i | ||||
\(346\) | −14.9982 | + | 7.46482i | −0.806306 | + | 0.401311i | ||||
\(347\) | 4.40710 | + | 0.434061i | 0.236585 | + | 0.0233016i | 0.215615 | − | 0.976478i | \(-0.430824\pi\) |
0.0209705 | + | 0.999780i | \(0.493324\pi\) | |||||||
\(348\) | 16.1284 | − | 24.7611i | 0.864575 | − | 1.32734i | ||||
\(349\) | −24.0791 | − | 7.30430i | −1.28892 | − | 0.390990i | −0.429876 | − | 0.902888i | \(-0.641443\pi\) |
−0.859047 | + | 0.511897i | \(0.828943\pi\) | |||||||
\(350\) | −14.9203 | − | 15.8135i | −0.797524 | − | 0.845269i | ||||
\(351\) | 5.04377 | − | 7.76742i | 0.269217 | − | 0.414594i | ||||
\(352\) | 3.91732 | − | 2.35855i | 0.208794 | − | 0.125711i | ||||
\(353\) | 1.92090 | − | 1.92090i | 0.102239 | − | 0.102239i | −0.654137 | − | 0.756376i | \(-0.726968\pi\) |
0.756376 | + | 0.654137i | \(0.226968\pi\) | |||||||
\(354\) | 2.37105 | − | 0.0967258i | 0.126020 | − | 0.00514092i | ||||
\(355\) | 9.21205 | + | 2.79445i | 0.488925 | + | 0.148314i | ||||
\(356\) | −3.30141 | − | 5.62249i | −0.174974 | − | 0.297992i | ||||
\(357\) | −0.480507 | + | 16.9457i | −0.0254311 | + | 0.896864i | ||||
\(358\) | 24.4746 | + | 8.20797i | 1.29352 | + | 0.433804i | ||||
\(359\) | 5.52392 | − | 27.7706i | 0.291541 | − | 1.46568i | −0.506063 | − | 0.862497i | \(-0.668900\pi\) |
0.797604 | − | 0.603181i | \(-0.206100\pi\) | |||||||
\(360\) | 7.28783 | − | 29.5203i | 0.384102 | − | 1.55586i | ||||
\(361\) | 3.11012 | − | 0.618641i | 0.163690 | − | 0.0325601i | ||||
\(362\) | 13.4283 | − | 10.3824i | 0.705777 | − | 0.545689i | ||||
\(363\) | −7.32455 | + | 16.3557i | −0.384439 | + | 0.858451i | ||||
\(364\) | −4.11252 | − | 5.65095i | −0.215555 | − | 0.296190i | ||||
\(365\) | 38.2993 | − | 3.77215i | 2.00468 | − | 0.197444i | ||||
\(366\) | −3.36484 | + | 21.4532i | −0.175883 | + | 1.12138i | ||||
\(367\) | 4.04588 | + | 9.76762i | 0.211193 | + | 0.509865i | 0.993607 | − | 0.112893i | \(-0.0360118\pi\) |
−0.782414 | + | 0.622759i | \(0.786012\pi\) | |||||||
\(368\) | −0.358905 | − | 4.46946i | −0.0187092 | − | 0.232987i | ||||
\(369\) | 5.84499 | − | 22.6034i | 0.304278 | − | 1.17669i | ||||
\(370\) | 26.0369 | + | 18.5135i | 1.35359 | + | 0.962473i | ||||
\(371\) | −7.29426 | − | 5.98624i | −0.378699 | − | 0.310790i | ||||
\(372\) | −9.18117 | − | 16.7030i | −0.476022 | − | 0.866012i | ||||
\(373\) | 29.6917 | − | 9.00687i | 1.53738 | − | 0.466358i | 0.595793 | − | 0.803138i | \(-0.296838\pi\) |
0.941583 | + | 0.336780i | \(0.109338\pi\) | |||||||
\(374\) | −2.83516 | + | 4.95253i | −0.146603 | + | 0.256089i | ||||
\(375\) | −15.3099 | − | 8.75006i | −0.790601 | − | 0.451851i | ||||
\(376\) | 1.04660 | − | 11.9767i | 0.0539743 | − | 0.617652i | ||||
\(377\) | −8.44709 | − | 12.6420i | −0.435047 | − | 0.651094i | ||||
\(378\) | −12.5966 | − | 6.99313i | −0.647897 | − | 0.359688i | ||||
\(379\) | −23.3025 | + | 19.1238i | −1.19697 | + | 0.982326i | −0.196970 | + | 0.980410i | \(0.563110\pi\) |
−0.999998 | + | 0.00191659i | \(0.999390\pi\) | |||||||
\(380\) | 1.95988 | − | 33.6892i | 0.100540 | − | 1.72822i | ||||
\(381\) | 12.1464 | + | 19.3437i | 0.622278 | + | 0.991006i | ||||
\(382\) | −24.5823 | + | 9.35525i | −1.25774 | + | 0.478656i | ||||
\(383\) | 7.00384 | 0.357879 | 0.178940 | − | 0.983860i | \(-0.442733\pi\) | ||||
0.178940 | + | 0.983860i | \(0.442733\pi\) | |||||||
\(384\) | 0.693222 | − | 19.5837i | 0.0353758 | − | 0.999374i | ||||
\(385\) | −5.67907 | −0.289432 | ||||||||
\(386\) | 14.6861 | − | 5.58906i | 0.747501 | − | 0.284476i | ||||
\(387\) | 21.7740 | + | 29.8306i | 1.10684 | + | 1.51637i | ||||
\(388\) | −27.7664 | − | 1.61532i | −1.40962 | − | 0.0820055i | ||||
\(389\) | 19.8521 | − | 16.2922i | 1.00654 | − | 0.826046i | 0.0217443 | − | 0.999764i | \(-0.493078\pi\) |
0.984795 | + | 0.173718i | \(0.0555780\pi\) | |||||||
\(390\) | −12.4881 | − | 9.42375i | −0.632358 | − | 0.477190i | ||||
\(391\) | 3.10894 | + | 4.65285i | 0.157226 | + | 0.235305i | ||||
\(392\) | 6.83749 | − | 5.73852i | 0.345345 | − | 0.289839i | ||||
\(393\) | 0.365000 | − | 0.638638i | 0.0184118 | − | 0.0322150i | ||||
\(394\) | −14.8433 | + | 25.9287i | −0.747796 | + | 1.30627i | ||||
\(395\) | 8.24476 | − | 2.50102i | 0.414839 | − | 0.125840i | ||||
\(396\) | −2.62703 | − | 4.07681i | −0.132013 | − | 0.204867i | ||||
\(397\) | 21.7076 | + | 17.8150i | 1.08947 | + | 0.894107i | 0.994845 | − | 0.101406i | \(-0.0323340\pi\) |
0.0946274 | + | 0.995513i | \(0.469834\pi\) | |||||||
\(398\) | −7.04518 | − | 5.00947i | −0.353143 | − | 0.251102i | ||||
\(399\) | −15.1637 | − | 5.07347i | −0.759134 | − | 0.253991i | ||||
\(400\) | −29.8447 | − | 9.64471i | −1.49224 | − | 0.482236i | ||||
\(401\) | −0.781389 | − | 1.88644i | −0.0390207 | − | 0.0942043i | 0.903168 | − | 0.429288i | \(-0.141235\pi\) |
−0.942188 | + | 0.335084i | \(0.891235\pi\) | |||||||
\(402\) | 8.38564 | + | 1.31525i | 0.418238 | + | 0.0655986i | ||||
\(403\) | −9.75953 | + | 0.961230i | −0.486157 | + | 0.0478823i | ||||
\(404\) | −26.4024 | + | 19.2145i | −1.31357 | + | 0.955959i | ||||
\(405\) | −31.5320 | − | 6.77246i | −1.56684 | − | 0.336526i | ||||
\(406\) | −18.7121 | + | 14.4677i | −0.928666 | + | 0.718021i | ||||
\(407\) | 4.99786 | − | 0.994136i | 0.247735 | − | 0.0492775i | ||||
\(408\) | 11.1529 | + | 21.7650i | 0.552149 | + | 1.07753i | ||||
\(409\) | 0.0985007 | − | 0.495197i | 0.00487055 | − | 0.0244859i | −0.978274 | − | 0.207318i | \(-0.933526\pi\) |
0.983144 | + | 0.182832i | \(0.0585265\pi\) | |||||||
\(410\) | −37.3922 | − | 12.5401i | −1.84667 | − | 0.619310i | ||||
\(411\) | 2.78314 | + | 0.0789176i | 0.137282 | + | 0.00389272i | ||||
\(412\) | 7.36233 | − | 4.32300i | 0.362716 | − | 0.212979i | ||||
\(413\) | −1.81763 | − | 0.551371i | −0.0894395 | − | 0.0271312i | ||||
\(414\) | −4.72678 | + | 0.524918i | −0.232309 | + | 0.0257983i | ||||
\(415\) | 40.8939 | − | 40.8939i | 2.00740 | − | 2.00740i | ||||
\(416\) | −9.12300 | − | 4.29269i | −0.447292 | − | 0.210467i | ||||
\(417\) | 16.7124 | + | 14.5274i | 0.818408 | + | 0.711412i | ||||
\(418\) | −3.69389 | − | 3.91503i | −0.180674 | − | 0.191490i | ||||
\(419\) | 9.31277 | + | 2.82500i | 0.454958 | + | 0.138010i | 0.509443 | − | 0.860504i | \(-0.329852\pi\) |
−0.0544844 | + | 0.998515i | \(0.517352\pi\) | |||||||
\(420\) | −13.2834 | + | 20.3933i | −0.648165 | + | 0.995093i | ||||
\(421\) | 7.14890 | + | 0.704105i | 0.348416 | + | 0.0343160i | 0.270712 | − | 0.962660i | \(-0.412741\pi\) |
0.0777043 | + | 0.996976i | \(0.475241\pi\) | |||||||
\(422\) | −17.1800 | + | 8.55078i | −0.836311 | + | 0.416246i | ||||
\(423\) | −12.7311 | − | 0.722579i | −0.619009 | − | 0.0351330i | ||||
\(424\) | −13.3797 | − | 2.50858i | −0.649775 | − | 0.121827i | ||||
\(425\) | 38.3914 | − | 7.63652i | 1.86225 | − | 0.370425i | ||||
\(426\) | 0.377521 | − | 6.56947i | 0.0182910 | − | 0.318292i | ||||
\(427\) | 8.19358 | − | 15.3291i | 0.396515 | − | 0.741827i | ||||
\(428\) | −1.57528 | − | 6.53862i | −0.0761441 | − | 0.316056i | ||||
\(429\) | −2.46024 | + | 0.417258i | −0.118782 | + | 0.0201454i | ||||
\(430\) | 52.8583 | − | 33.1390i | 2.54906 | − | 1.59811i | ||||
\(431\) | 6.67594 | + | 16.1171i | 0.321569 | + | 0.776335i | 0.999163 | + | 0.0408998i | \(0.0130224\pi\) |
−0.677595 | + | 0.735436i | \(0.736978\pi\) | |||||||
\(432\) | −20.7844 | − | 0.102141i | −0.999988 | − | 0.00491427i | ||||
\(433\) | −0.423569 | + | 1.02259i | −0.0203554 | + | 0.0491424i | −0.933730 | − | 0.357977i | \(-0.883467\pi\) |
0.913375 | + | 0.407119i | \(0.133467\pi\) | |||||||
\(434\) | 2.54036 | + | 15.0430i | 0.121941 | + | 0.722088i | ||||
\(435\) | −30.6515 | + | 43.1720i | −1.46963 | + | 2.06994i | ||||
\(436\) | 6.58279 | + | 6.07537i | 0.315259 | + | 0.290958i | ||||
\(437\) | −5.05090 | + | 1.53217i | −0.241617 | + | 0.0732939i | ||||
\(438\) | −8.65609 | − | 24.8415i | −0.413604 | − | 1.18697i | ||||
\(439\) | 7.61693 | − | 11.3995i | 0.363536 | − | 0.544071i | −0.603941 | − | 0.797029i | \(-0.706404\pi\) |
0.967477 | + | 0.252959i | \(0.0814036\pi\) | |||||||
\(440\) | −7.18240 | + | 3.94135i | −0.342407 | + | 0.187896i | ||||
\(441\) | −6.30472 | − | 7.06346i | −0.300225 | − | 0.336355i | ||||
\(442\) | 12.5531 | − | 0.869052i | 0.597090 | − | 0.0413366i | ||||
\(443\) | −8.76879 | + | 7.19636i | −0.416618 | + | 0.341909i | −0.819234 | − | 0.573460i | \(-0.805601\pi\) |
0.402616 | + | 0.915369i | \(0.368101\pi\) | |||||||
\(444\) | 8.12016 | − | 20.2724i | 0.385366 | − | 0.962087i | ||||
\(445\) | 5.50697 | + | 10.3028i | 0.261055 | + | 0.488400i | ||||
\(446\) | 5.37864 | − | 11.9877i | 0.254686 | − | 0.567636i | ||||
\(447\) | −24.0542 | + | 1.68236i | −1.13772 | + | 0.0795730i | ||||
\(448\) | −5.68185 | + | 14.6196i | −0.268442 | + | 0.690713i | ||||
\(449\) | −4.18647 | −0.197572 | −0.0987859 | − | 0.995109i | \(-0.531496\pi\) | ||||
−0.0987859 | + | 0.995109i | \(0.531496\pi\) | |||||||
\(450\) | −9.26066 | + | 31.9521i | −0.436552 | + | 1.50624i | ||||
\(451\) | −5.54781 | + | 2.96536i | −0.261236 | + | 0.139634i | ||||
\(452\) | 11.3753 | + | 32.7196i | 0.535049 | + | 1.53900i | ||||
\(453\) | −1.53923 | − | 1.62907i | −0.0723196 | − | 0.0765406i | ||||
\(454\) | −40.5627 | + | 2.80816i | −1.90370 | + | 0.131793i | ||||
\(455\) | 6.95705 | + | 10.4120i | 0.326152 | + | 0.488120i | ||||
\(456\) | −22.6988 | + | 4.10731i | −1.06297 | + | 0.192342i | ||||
\(457\) | 9.00929 | + | 6.01981i | 0.421437 | + | 0.281595i | 0.748152 | − | 0.663528i | \(-0.230942\pi\) |
−0.326715 | + | 0.945123i | \(0.605942\pi\) | |||||||
\(458\) | 28.3957 | − | 7.72040i | 1.32684 | − | 0.360751i | ||||
\(459\) | 22.7142 | − | 12.5272i | 1.06021 | − | 0.584719i | ||||
\(460\) | 0.321788 | + | 8.02738i | 0.0150034 | + | 0.374278i | ||||
\(461\) | −1.84640 | − | 1.51530i | −0.0859952 | − | 0.0705744i | 0.590414 | − | 0.807101i | \(-0.298965\pi\) |
−0.676409 | + | 0.736526i | \(0.736465\pi\) | |||||||
\(462\) | 0.911895 | + | 3.77334i | 0.0424252 | + | 0.175552i | ||||
\(463\) | 4.36149 | + | 1.80659i | 0.202696 | + | 0.0839593i | 0.481722 | − | 0.876324i | \(-0.340012\pi\) |
−0.279026 | + | 0.960284i | \(0.590012\pi\) | |||||||
\(464\) | −13.6247 | + | 31.2840i | −0.632510 | + | 1.45232i | ||||
\(465\) | 15.2382 | + | 30.5621i | 0.706656 | + | 1.41728i | ||||
\(466\) | 26.3814 | − | 16.5396i | 1.22210 | − | 0.766182i | ||||
\(467\) | −23.2343 | + | 2.28838i | −1.07516 | + | 0.105894i | −0.620065 | − | 0.784551i | \(-0.712894\pi\) |
−0.455092 | + | 0.890444i | \(0.650394\pi\) | |||||||
\(468\) | −4.25619 | + | 9.81062i | −0.196742 | + | 0.453496i | ||||
\(469\) | −5.99184 | − | 3.20271i | −0.276678 | − | 0.147887i | ||||
\(470\) | −2.73324 | + | 21.3666i | −0.126075 | + | 0.985570i | ||||
\(471\) | −6.53072 | − | 23.9531i | −0.300920 | − | 1.10370i | ||||
\(472\) | −2.68144 | + | 0.564130i | −0.123423 | + | 0.0259662i | ||||
\(473\) | 1.94133 | − | 9.75974i | 0.0892626 | − | 0.448753i | ||||
\(474\) | −2.98562 | − | 5.07647i | −0.137134 | − | 0.233170i | ||||
\(475\) | −3.61887 | + | 36.7430i | −0.166045 | + | 1.68588i | ||||
\(476\) | −2.69745 | − | 19.3884i | −0.123637 | − | 0.888665i | ||||
\(477\) | −2.22719 | + | 14.2658i | −0.101976 | + | 0.653185i | ||||
\(478\) | 9.12367 | + | 9.66987i | 0.417307 | + | 0.442289i | ||||
\(479\) | −0.742652 | + | 0.742652i | −0.0339326 | + | 0.0339326i | −0.723870 | − | 0.689937i | \(-0.757638\pi\) |
0.689937 | + | 0.723870i | \(0.257638\pi\) | |||||||
\(480\) | −2.64651 | + | 35.0106i | −0.120796 | + | 1.59801i | ||||
\(481\) | −7.94518 | − | 7.94518i | −0.362269 | − | 0.362269i | ||||
\(482\) | −0.0995948 | + | 3.42684i | −0.00453642 | + | 0.156088i | ||||
\(483\) | 3.71097 | + | 0.848168i | 0.168855 | + | 0.0385930i | ||||
\(484\) | 5.20895 | − | 20.0269i | 0.236770 | − | 0.910314i | ||||
\(485\) | 49.5939 | + | 4.88457i | 2.25194 | + | 0.221797i | ||||
\(486\) | 0.563301 | + | 22.0382i | 0.0255518 | + | 0.999673i | ||||
\(487\) | −34.8475 | − | 6.93159i | −1.57909 | − | 0.314100i | −0.673806 | − | 0.738908i | \(-0.735342\pi\) |
−0.905284 | + | 0.424808i | \(0.860342\pi\) | |||||||
\(488\) | −0.276066 | − | 25.0734i | −0.0124969 | − | 1.13502i | ||||
\(489\) | −9.71369 | − | 35.6275i | −0.439268 | − | 1.61113i | ||||
\(490\) | −12.6529 | + | 9.78289i | −0.571599 | + | 0.441946i | ||||
\(491\) | −4.94954 | + | 9.25994i | −0.223370 | + | 0.417895i | −0.968496 | − | 0.249028i | \(-0.919889\pi\) |
0.745127 | + | 0.666923i | \(0.232389\pi\) | |||||||
\(492\) | −2.32789 | + | 26.8580i | −0.104949 | + | 1.21085i | ||||
\(493\) | −4.17407 | − | 42.3801i | −0.187991 | − | 1.90870i | ||||
\(494\) | −2.65264 | + | 11.5684i | −0.119348 | + | 0.520486i | ||||
\(495\) | 4.41057 | + | 7.48719i | 0.198240 | + | 0.336524i | ||||
\(496\) | 13.6529 | + | 17.2621i | 0.613032 | + | 0.775090i | ||||
\(497\) | −2.01559 | + | 4.86607i | −0.0904117 | + | 0.218273i | ||||
\(498\) | −33.7375 | − | 20.6047i | −1.51181 | − | 0.923319i | ||||
\(499\) | 17.5463 | − | 21.3803i | 0.785482 | − | 0.957112i | −0.214325 | − | 0.976762i | \(-0.568755\pi\) |
0.999807 | + | 0.0196501i | \(0.00625523\pi\) | |||||||
\(500\) | 19.1090 | + | 7.03244i | 0.854581 | + | 0.314500i | ||||
\(501\) | −40.2186 | + | 15.3385i | −1.79684 | + | 0.685274i | ||||
\(502\) | 10.0390 | − | 17.5364i | 0.448064 | − | 0.782689i | ||||
\(503\) | −4.71940 | + | 7.06308i | −0.210428 | + | 0.314927i | −0.921637 | − | 0.388053i | \(-0.873148\pi\) |
0.711209 | + | 0.702980i | \(0.248148\pi\) | |||||||
\(504\) | 15.6829 | + | 5.55132i | 0.698570 | + | 0.247275i | ||||
\(505\) | 48.6468 | − | 32.5048i | 2.16475 | − | 1.44644i | ||||
\(506\) | 0.966512 | + | 0.841353i | 0.0429667 | + | 0.0374027i | ||||
\(507\) | −11.6851 | − | 12.3671i | −0.518955 | − | 0.549244i | ||||
\(508\) | −17.5350 | − | 19.7012i | −0.777990 | − | 0.874102i | ||||
\(509\) | −1.65296 | − | 3.09247i | −0.0732662 | − | 0.137072i | 0.842621 | − | 0.538507i | \(-0.181011\pi\) |
−0.915887 | + | 0.401435i | \(0.868511\pi\) | |||||||
\(510\) | −18.4048 | − | 39.7660i | −0.814980 | − | 1.76087i | ||||
\(511\) | 21.0561i | 0.931469i | ||||||||
\(512\) | 2.96031 | + | 22.4329i | 0.130828 | + | 0.991405i | ||||
\(513\) | 5.08789 | + | 23.9318i | 0.224636 | + | 1.05662i | ||||
\(514\) | −13.3226 | + | 5.07018i | −0.587636 | + | 0.223636i | ||||
\(515\) | −13.4909 | + | 7.21105i | −0.594481 | + | 0.317757i | ||||
\(516\) | −30.5061 | − | 29.7994i | −1.34295 | − | 1.31185i | ||||
\(517\) | 2.17965 | + | 2.65591i | 0.0958608 | + | 0.116807i | ||||
\(518\) | −11.4769 | + | 13.1842i | −0.504265 | + | 0.579279i | ||||
\(519\) | −12.5619 | − | 16.2235i | −0.551406 | − | 0.712131i | ||||
\(520\) | 16.0247 | + | 8.33987i | 0.702730 | + | 0.365728i | ||||
\(521\) | 10.8346 | + | 7.23942i | 0.474670 | + | 0.317165i | 0.769792 | − | 0.638295i | \(-0.220360\pi\) |
−0.295121 | + | 0.955460i | \(0.595360\pi\) | |||||||
\(522\) | 33.6065 | + | 13.4336i | 1.47092 | + | 0.587972i | ||||
\(523\) | −3.83909 | − | 12.6558i | −0.167872 | − | 0.553398i | 0.832128 | − | 0.554584i | \(-0.187123\pi\) |
−0.999999 | + | 0.00118562i | \(0.999623\pi\) | |||||||
\(524\) | −0.293351 | + | 0.797113i | −0.0128151 | + | 0.0348220i | ||||
\(525\) | 15.4151 | − | 21.7118i | 0.672769 | − | 0.947580i | ||||
\(526\) | −28.3476 | − | 20.1565i | −1.23601 | − | 0.878867i | ||||
\(527\) | −25.3764 | − | 10.5113i | −1.10541 | − | 0.457878i | ||||
\(528\) | 3.77203 | + | 4.13933i | 0.164157 | + | 0.180141i | ||||
\(529\) | −20.0883 | + | 8.32086i | −0.873405 | + | 0.361776i | ||||
\(530\) | 23.7734 | + | 5.45128i | 1.03265 | + | 0.236788i | ||||
\(531\) | 0.684715 | + | 2.82454i | 0.0297141 | + | 0.122575i | ||||
\(532\) | 18.2385 | + | 2.87384i | 0.790741 | + | 0.124597i | ||||
\(533\) | 12.2329 | + | 6.53864i | 0.529867 | + | 0.283220i | ||||
\(534\) | 5.96123 | − | 5.31332i | 0.257968 | − | 0.229930i | ||||
\(535\) | 2.35096 | + | 11.8191i | 0.101641 | + | 0.510982i | ||||
\(536\) | −9.80069 | + | 0.107909i | −0.423325 | + | 0.00466095i | ||||
\(537\) | −3.98947 | + | 31.3632i | −0.172158 | + | 1.35342i | ||||
\(538\) | 11.5232 | + | 3.86450i | 0.496800 | + | 0.166610i | ||||
\(539\) | −0.250046 | + | 2.53876i | −0.0107702 | + | 0.109352i | ||||
\(540\) | 37.2026 | + | 1.67447i | 1.60095 | + | 0.0720578i | ||||
\(541\) | −5.90380 | + | 19.4622i | −0.253824 | + | 0.836747i | 0.733726 | + | 0.679445i | \(0.237779\pi\) |
−0.987551 | + | 0.157302i | \(0.949721\pi\) | |||||||
\(542\) | 3.97847 | + | 0.115627i | 0.170890 | + | 0.00496660i | ||||
\(543\) | 15.6897 | + | 13.6384i | 0.673308 | + | 0.585281i | ||||
\(544\) | −16.8673 | − | 22.6487i | −0.723179 | − | 0.971055i | ||||
\(545\) | −11.3491 | − | 11.3491i | −0.486141 | − | 0.486141i | ||||
\(546\) | 5.80091 | − | 6.29433i | 0.248256 | − | 0.269372i | ||||
\(547\) | 6.37606 | − | 21.0191i | 0.272621 | − | 0.898710i | −0.708565 | − | 0.705645i | \(-0.750657\pi\) |
0.981186 | − | 0.193065i | \(-0.0618428\pi\) | |||||||
\(548\) | −3.18432 | + | 0.443024i | −0.136027 | + | 0.0189251i | ||||
\(549\) | −26.5731 | + | 1.10285i | −1.13411 | + | 0.0470686i | ||||
\(550\) | 8.02448 | − | 3.99391i | 0.342165 | − | 0.170301i | ||||
\(551\) | 39.3952 | + | 7.83619i | 1.67829 | + | 0.333833i | ||||
\(552\) | 5.28195 | − | 1.50277i | 0.224815 | − | 0.0639622i | ||||
\(553\) | 0.919645 | + | 4.62337i | 0.0391073 | + | 0.196606i | ||||
\(554\) | 23.8927 | + | 3.05637i | 1.01510 | + | 0.129853i | ||||
\(555\) | −15.9923 | + | 35.7107i | −0.678835 | + | 1.51584i | ||||
\(556\) | −21.8122 | − | 13.3427i | −0.925044 | − | 0.565856i | ||||
\(557\) | −1.27506 | − | 12.9459i | −0.0540260 | − | 0.548535i | −0.983658 | − | 0.180046i | \(-0.942375\pi\) |
0.929632 | − | 0.368489i | \(-0.120125\pi\) | |||||||
\(558\) | 17.8595 | − | 15.0321i | 0.756055 | − | 0.636360i | ||||
\(559\) | −20.2716 | + | 8.39679i | −0.857399 | + | 0.355146i | ||||
\(560\) | 11.2213 | − | 25.7656i | 0.474188 | − | 1.08879i | ||||
\(561\) | −6.62803 | − | 2.21761i | −0.279835 | − | 0.0936274i | ||||
\(562\) | −0.355502 | − | 2.10515i | −0.0149960 | − | 0.0888003i | ||||
\(563\) | 16.2059 | − | 19.7469i | 0.682996 | − | 0.832233i | −0.309956 | − | 0.950751i | \(-0.600314\pi\) |
0.992952 | + | 0.118518i | \(0.0378144\pi\) | |||||||
\(564\) | 14.6355 | − | 1.61482i | 0.616266 | − | 0.0679964i | ||||
\(565\) | −18.0169 | − | 59.3938i | −0.757977 | − | 2.49871i | ||||
\(566\) | −2.26785 | − | 8.34117i | −0.0953249 | − | 0.350606i | ||||
\(567\) | 5.37858 | − | 16.8058i | 0.225879 | − | 0.705779i | ||||
\(568\) | 0.827968 | + | 7.55303i | 0.0347408 | + | 0.316918i | ||||
\(569\) | −14.9603 | + | 9.99616i | −0.627169 | + | 0.419061i | −0.828128 | − | 0.560539i | \(-0.810594\pi\) |
0.200959 | + | 0.979600i | \(0.435594\pi\) | |||||||
\(570\) | 40.9321 | − | 5.72426i | 1.71446 | − | 0.239763i | ||||
\(571\) | −19.4149 | − | 23.6571i | −0.812489 | − | 0.990020i | −0.999970 | − | 0.00775202i | \(-0.997532\pi\) |
0.187481 | − | 0.982268i | \(-0.439968\pi\) | |||||||
\(572\) | 2.72162 | − | 0.946201i | 0.113797 | − | 0.0395626i | ||||
\(573\) | −17.1305 | − | 27.2811i | −0.715638 | − | 1.13968i | ||||
\(574\) | 8.83330 | − | 19.6874i | 0.368695 | − | 0.821736i | ||||
\(575\) | − | 8.78959i | − | 0.366551i | ||||||
\(576\) | 23.6870 | − | 3.86328i | 0.986959 | − | 0.160970i | ||||
\(577\) | − | 1.99034i | − | 0.0828590i | −0.999141 | − | 0.0414295i | \(-0.986809\pi\) | ||
0.999141 | − | 0.0414295i | \(-0.0131912\pi\) | |||||||
\(578\) | 10.2203 | + | 4.58560i | 0.425107 | + | 0.190736i | ||||
\(579\) | 10.2342 | + | 16.2984i | 0.425319 | + | 0.677339i | ||||
\(580\) | 26.6372 | − | 55.0295i | 1.10605 | − | 2.28498i | ||||
\(581\) | 20.0735 | + | 24.4596i | 0.832790 | + | 1.01476i | ||||
\(582\) | −4.71789 | − | 33.7359i | −0.195563 | − | 1.39840i | ||||
\(583\) | 3.23469 | − | 2.16135i | 0.133967 | − | 0.0895140i | ||||
\(584\) | 14.6132 | + | 26.6300i | 0.604700 | + | 1.10196i | ||||
\(585\) | 8.32387 | − | 17.2584i | 0.344150 | − | 0.713546i | ||||
\(586\) | 17.4170 | − | 4.73544i | 0.719489 | − | 0.195619i | ||||
\(587\) | −7.92176 | − | 26.1145i | −0.326966 | − | 1.07786i | −0.954234 | − | 0.299059i | \(-0.903327\pi\) |
0.627268 | − | 0.778803i | \(-0.284173\pi\) | |||||||
\(588\) | 8.53173 | + | 6.83610i | 0.351843 | + | 0.281916i | ||||
\(589\) | 16.4356 | − | 20.0268i | 0.677216 | − | 0.825190i | ||||
\(590\) | 4.84102 | − | 0.817518i | 0.199302 | − | 0.0336567i | ||||
\(591\) | −34.7007 | − | 11.6102i | −1.42739 | − | 0.477578i | ||||
\(592\) | −5.36499 | + | 24.6393i | −0.220500 | + | 1.01267i | ||||
\(593\) | −24.4631 | + | 10.1329i | −1.00458 | + | 0.416110i | −0.823474 | − | 0.567354i | \(-0.807967\pi\) |
−0.181104 | + | 0.983464i | \(0.557967\pi\) | |||||||
\(594\) | 4.26650 | − | 4.13274i | 0.175057 | − | 0.169568i | ||||
\(595\) | 3.43778 | + | 34.9044i | 0.140935 | + | 1.43094i | ||||
\(596\) | 27.0688 | − | 6.52140i | 1.10878 | − | 0.267127i | ||||
\(597\) | 4.32726 | − | 9.66276i | 0.177103 | − | 0.395470i | ||||
\(598\) | 0.358521 | − | 2.80268i | 0.0146610 | − | 0.114610i | ||||
\(599\) | −1.86122 | − | 9.35700i | −0.0760475 | − | 0.382317i | 0.923952 | − | 0.382507i | \(-0.124939\pi\) |
−1.00000 | 0.000190629i | \(0.999939\pi\) | ||||||||
\(600\) | 4.42739 | − | 38.1575i | 0.180747 | − | 1.55777i | ||||
\(601\) | 21.6642 | + | 4.30927i | 0.883700 | + | 0.175779i | 0.616021 | − | 0.787729i | \(-0.288744\pi\) |
0.267678 | + | 0.963508i | \(0.413744\pi\) | |||||||
\(602\) | 15.2094 | + | 30.5584i | 0.619889 | + | 1.24547i | ||||
\(603\) | 0.431083 | + | 10.3869i | 0.0175551 | + | 0.422987i | ||||
\(604\) | 2.06467 | + | 1.56033i | 0.0840102 | + | 0.0634891i | ||||
\(605\) | −10.7628 | + | 35.4801i | −0.437569 | + | 1.44247i | ||||
\(606\) | −29.4084 | − | 27.1030i | −1.19463 | − | 1.10099i | ||||
\(607\) | −25.6808 | − | 25.6808i | −1.04235 | − | 1.04235i | −0.999063 | − | 0.0432869i | \(-0.986217\pi\) |
−0.0432869 | − | 0.999063i | \(-0.513783\pi\) | |||||||
\(608\) | 25.0610 | − | 9.02320i | 1.01636 | − | 0.365939i | ||||
\(609\) | −21.8632 | − | 19.0049i | −0.885943 | − | 0.770117i | ||||
\(610\) | −1.30518 | + | 44.9084i | −0.0528451 | + | 1.81829i | ||||
\(611\) | 2.19918 | − | 7.24972i | 0.0889693 | − | 0.293292i | ||||
\(612\) | −23.4664 | + | 18.6140i | −0.948573 | + | 0.752426i | ||||
\(613\) | 2.41968 | − | 24.5674i | 0.0977301 | − | 0.992270i | −0.813830 | − | 0.581103i | \(-0.802621\pi\) |
0.911560 | − | 0.411167i | \(-0.134879\pi\) | |||||||
\(614\) | −6.81839 | + | 20.3312i | −0.275168 | + | 0.820499i | ||||
\(615\) | 6.09508 | − | 47.9165i | 0.245778 | − | 1.93218i | ||||
\(616\) | −1.76087 | − | 4.12216i | −0.0709475 | − | 0.166086i | ||||
\(617\) | −4.99760 | − | 25.1246i | −0.201196 | − | 1.01148i | −0.940935 | − | 0.338586i | \(-0.890051\pi\) |
0.739740 | − | 0.672893i | \(-0.234949\pi\) | |||||||
\(618\) | 6.95749 | + | 7.80588i | 0.279871 | + | 0.313999i | ||||
\(619\) | 3.41385 | + | 1.82474i | 0.137214 | + | 0.0733426i | 0.538575 | − | 0.842577i | \(-0.318963\pi\) |
−0.401361 | + | 0.915920i | \(0.631463\pi\) | |||||||
\(620\) | −23.2037 | − | 31.8839i | −0.931885 | − | 1.28049i | ||||
\(621\) | −1.76386 | − | 5.55120i | −0.0707813 | − | 0.222762i | ||||
\(622\) | −2.60721 | + | 11.3703i | −0.104540 | + | 0.455906i | ||||
\(623\) | −5.90517 | + | 2.44600i | −0.236586 | + | 0.0979970i | ||||
\(624\) | 2.96815 | − | 11.9864i | 0.118821 | − | 0.479841i | ||||
\(625\) | 2.51528 | + | 1.04186i | 0.100611 | + | 0.0416745i | ||||
\(626\) | −1.11660 | + | 1.57035i | −0.0446283 | + | 0.0627640i | ||||
\(627\) | 3.81638 | − | 5.37528i | 0.152411 | − | 0.214668i | ||||
\(628\) | 12.0229 | + | 26.0254i | 0.479768 | + | 1.03852i | ||||
\(629\) | −9.13551 | − | 30.1157i | −0.364257 | − | 1.20079i | ||||
\(630\) | −27.6784 | − | 11.0640i | −1.10273 | − | 0.440798i | ||||
\(631\) | −23.9294 | − | 15.9891i | −0.952613 | − | 0.636516i | −0.0209272 | − | 0.999781i | \(-0.506662\pi\) |
−0.931686 | + | 0.363265i | \(0.881662\pi\) | |||||||
\(632\) | 4.37177 | + | 5.20899i | 0.173900 | + | 0.207203i | ||||
\(633\) | −14.3894 | − | 18.5836i | −0.571926 | − | 0.738632i | ||||
\(634\) | 2.03857 | + | 1.77458i | 0.0809619 | + | 0.0704777i | ||||
\(635\) | 29.9788 | + | 36.5293i | 1.18967 | + | 1.44962i | ||||
\(636\) | −0.195342 | − | 16.6711i | −0.00774580 | − | 0.661052i | ||||
\(637\) | 4.96085 | − | 2.65163i | 0.196556 | − | 0.105061i | ||||
\(638\) | −3.46846 | − | 9.11388i | −0.137318 | − | 0.360822i | ||||
\(639\) | 7.98073 | − | 1.12184i | 0.315713 | − | 0.0443793i | ||||
\(640\) | −3.68988 | − | 40.3738i | −0.145855 | − | 1.59592i | ||||
\(641\) | 34.7220i | 1.37144i | 0.727867 | + | 0.685718i | \(0.240512\pi\) | ||||
−0.727867 | + | 0.685718i | \(0.759488\pi\) | |||||||
\(642\) | 7.47543 | − | 3.45984i | 0.295032 | − | 0.136549i | ||||
\(643\) | −2.57057 | − | 4.80920i | −0.101373 | − | 0.189656i | 0.826122 | − | 0.563492i | \(-0.190542\pi\) |
−0.927495 | + | 0.373836i | \(0.878042\pi\) | |||||||
\(644\) | −4.38814 | − | 0.255282i | −0.172917 | − | 0.0100595i | ||||
\(645\) | 52.4760 | + | 55.5389i | 2.06624 | + | 2.18684i | ||||
\(646\) | −21.8262 | + | 25.0731i | −0.858742 | + | 0.986488i | ||||
\(647\) | 16.6829 | − | 11.1472i | 0.655872 | − | 0.438240i | −0.182598 | − | 0.983188i | \(-0.558451\pi\) |
0.838470 | + | 0.544948i | \(0.183451\pi\) | |||||||
\(648\) | −4.86110 | − | 24.9874i | −0.190962 | − | 0.981597i | ||||
\(649\) | 0.435060 | − | 0.651113i | 0.0170776 | − | 0.0255584i | ||||
\(650\) | −17.1527 | − | 9.81934i | −0.672783 | − | 0.385146i | ||||
\(651\) | −17.4582 | + | 6.65817i | −0.684239 | + | 0.260954i | ||||
\(652\) | 17.8827 | + | 38.7097i | 0.700342 | + | 1.51599i | ||||
\(653\) | −22.2195 | + | 27.0746i | −0.869518 | + | 1.05951i | 0.128184 | + | 0.991750i | \(0.459085\pi\) |
−0.997702 | + | 0.0677602i | \(0.978415\pi\) | |||||||
\(654\) | −5.71833 | + | 9.36300i | −0.223604 | + | 0.366122i | ||||
\(655\) | 0.582388 | − | 1.40601i | 0.0227558 | − | 0.0549373i | ||||
\(656\) | −2.49171 | − | 31.0294i | −0.0972848 | − | 1.21149i | ||||
\(657\) | 27.7601 | − | 16.3530i | 1.08302 | − | 0.637989i | ||||
\(658\) | −11.4875 | − | 2.63409i | −0.447829 | − | 0.102688i | ||||
\(659\) | 4.54899 | + | 46.1866i | 0.177203 | + | 1.79918i | 0.514200 | + | 0.857670i | \(0.328089\pi\) |
−0.336996 | + | 0.941506i | \(0.609411\pi\) | |||||||
\(660\) | −6.45596 | − | 7.68129i | −0.251298 | − | 0.298994i | ||||
\(661\) | −12.5560 | + | 23.4906i | −0.488371 | + | 0.913678i | 0.510191 | + | 0.860061i | \(0.329575\pi\) |
−0.998562 | + | 0.0536166i | \(0.982925\pi\) | |||||||
\(662\) | −12.2069 | − | 15.7880i | −0.474434 | − | 0.613619i | ||||
\(663\) | 4.05381 | + | 14.8684i | 0.157437 | + | 0.577441i | ||||
\(664\) | 42.3626 | + | 17.0032i | 1.64399 | + | 0.659851i | ||||
\(665\) | −32.4460 | − | 6.45391i | −1.25820 | − | 0.250272i | ||||
\(666\) | 26.2951 | + | 4.89164i | 1.01892 | + | 0.189547i | ||||
\(667\) | −9.51636 | − | 0.937280i | −0.368475 | − | 0.0362916i | ||||
\(668\) | 42.8607 | − | 25.1669i | 1.65833 | − | 0.973736i | ||||
\(669\) | 15.6875 | + | 3.58549i | 0.606514 | + | 0.138623i | ||||
\(670\) | 17.5538 | + | 0.510168i | 0.678162 | + | 0.0197095i | ||||
\(671\) | 5.06713 | + | 5.06713i | 0.195615 | + | 0.195615i | ||||
\(672\) | −18.9212 | − | 3.31857i | −0.729902 | − | 0.128017i | ||||
\(673\) | −10.6161 | + | 10.6161i | −0.409221 | + | 0.409221i | −0.881467 | − | 0.472246i | \(-0.843443\pi\) |
0.472246 | + | 0.881467i | \(0.343443\pi\) | |||||||
\(674\) | 10.6665 | − | 10.0640i | 0.410860 | − | 0.387652i | ||||
\(675\) | −40.5964 | − | 3.46082i | −1.56255 | − | 0.133207i | ||||
\(676\) | 15.6740 | + | 11.8453i | 0.602845 | + | 0.455588i | ||||
\(677\) | −1.71537 | + | 17.4164i | −0.0659270 | + | 0.669368i | 0.904255 | + | 0.426992i | \(0.140427\pi\) |
−0.970182 | + | 0.242376i | \(0.922073\pi\) | |||||||
\(678\) | −36.5699 | + | 21.5079i | −1.40446 | + | 0.826005i | ||||
\(679\) | −5.31926 | + | 26.7417i | −0.204134 | + | 1.02625i | ||||
\(680\) | 28.5719 | + | 41.7582i | 1.09568 | + | 1.60135i | ||||
\(681\) | −13.0990 | − | 48.0442i | −0.501956 | − | 1.84106i | ||||
\(682\) | −6.23888 | − | 0.798082i | −0.238899 | − | 0.0305601i | ||||
\(683\) | −29.7131 | − | 15.8820i | −1.13694 | − | 0.607708i | −0.208071 | − | 0.978114i | \(-0.566719\pi\) |
−0.928870 | + | 0.370406i | \(0.879219\pi\) | |||||||
\(684\) | −10.3759 | − | 26.2773i | −0.396732 | − | 1.00474i | ||||
\(685\) | 5.73263 | − | 0.564615i | 0.219033 | − | 0.0215728i | ||||
\(686\) | −14.9579 | − | 23.8586i | −0.571097 | − | 0.910927i | ||||
\(687\) | 16.0814 | + | 32.2532i | 0.613543 | + | 1.23053i | ||||
\(688\) | 40.4434 | + | 28.0921i | 1.54189 | + | 1.07100i | ||||
\(689\) | −7.92521 | − | 3.28273i | −0.301926 | − | 0.125062i | ||||
\(690\) | −9.56406 | + | 2.31133i | −0.364098 | + | 0.0879907i | ||||
\(691\) | 9.56864 | + | 7.85278i | 0.364008 | + | 0.298734i | 0.798563 | − | 0.601912i | \(-0.205594\pi\) |
−0.434554 | + | 0.900646i | \(0.643094\pi\) | |||||||
\(692\) | 17.4107 | + | 16.0687i | 0.661857 | + | 0.610839i | ||||
\(693\) | −4.31328 | + | 2.00001i | −0.163848 | + | 0.0759743i | ||||
\(694\) | −1.64311 | − | 6.04335i | −0.0623714 | − | 0.229402i | ||||
\(695\) | 38.0926 | + | 25.4526i | 1.44493 | + | 0.965473i | ||||
\(696\) | −40.8404 | − | 8.86239i | −1.54805 | − | 0.335928i | ||||
\(697\) | 21.5839 | + | 32.3025i | 0.817547 | + | 1.22355i | ||||
\(698\) | 2.45769 | + | 35.5003i | 0.0930248 | + | 1.34370i | ||||
\(699\) | 26.1906 | + | 27.7193i | 0.990621 | + | 1.04844i | ||||
\(700\) | −13.3962 | + | 27.6751i | −0.506329 | + | 1.04602i | ||||
\(701\) | −30.0358 | + | 16.0545i | −1.13444 | + | 0.606369i | −0.928181 | − | 0.372129i | \(-0.878628\pi\) |
−0.206256 | + | 0.978498i | \(0.566128\pi\) | |||||||
\(702\) | −12.8035 | − | 2.75943i | −0.483238 | − | 0.104148i | ||||
\(703\) | 29.6838 | 1.11955 | ||||||||
\(704\) | −5.08783 | − | 3.99128i | −0.191755 | − | 0.150427i | ||||
\(705\) | −26.3176 | + | 1.84067i | −0.991179 | + | 0.0693236i | ||||
\(706\) | −3.50516 | − | 1.57269i | −0.131918 | − | 0.0591889i | ||||
\(707\) | 15.0899 | + | 28.2312i | 0.567514 | + | 1.06174i | ||||
\(708\) | −1.32051 | − | 3.08525i | −0.0496279 | − | 0.115951i | ||||
\(709\) | 25.5274 | − | 20.9498i | 0.958701 | − | 0.786785i | −0.0183413 | − | 0.999832i | \(-0.505839\pi\) |
0.977042 | + | 0.213046i | \(0.0683385\pi\) | |||||||
\(710\) | −0.940250 | − | 13.5815i | −0.0352869 | − | 0.509705i | ||||
\(711\) | 5.38115 | − | 4.80312i | 0.201809 | − | 0.180131i | ||||
\(712\) | −5.77080 | + | 7.19176i | −0.216270 | + | 0.269523i | ||||
\(713\) | −3.42660 | + | 5.12827i | −0.128327 | + | 0.192055i | ||||
\(714\) | 22.6395 | − | 7.88879i | 0.847261 | − | 0.295231i | ||||
\(715\) | −4.94039 | + | 1.49865i | −0.184760 | + | 0.0560464i | ||||
\(716\) | −1.46225 | − | 36.4776i | −0.0546469 | − | 1.36323i | ||||
\(717\) | −9.42620 | + | 13.2766i | −0.352028 | + | 0.495824i | ||||
\(718\) | −39.4840 | + | 6.66777i | −1.47353 | + | 0.248839i | ||||
\(719\) | 7.97054 | − | 19.2426i | 0.297251 | − | 0.717627i | −0.702730 | − | 0.711457i | \(-0.748036\pi\) |
0.999981 | − | 0.00617073i | \(-0.00196422\pi\) | |||||||
\(720\) | −42.6838 | + | 5.21645i | −1.59073 | + | 0.194406i | ||||
\(721\) | −3.20290 | − | 7.73248i | −0.119282 | − | 0.287973i | ||||
\(722\) | −2.38210 | − | 3.79956i | −0.0886527 | − | 0.141405i | ||||
\(723\) | −4.13966 | + | 0.702088i | −0.153956 | + | 0.0261109i | ||||
\(724\) | −20.4774 | − | 12.5262i | −0.761037 | − | 0.465532i | ||||
\(725\) | −31.5312 | + | 58.9907i | −1.17104 | + | 2.19086i | ||||
\(726\) | 25.3022 | + | 1.45402i | 0.939053 | + | 0.0539637i | ||||
\(727\) | 28.4965 | − | 5.66831i | 1.05688 | − | 0.210226i | 0.364087 | − | 0.931365i | \(-0.381381\pi\) |
0.692790 | + | 0.721139i | \(0.256381\pi\) | |||||||
\(728\) | −5.40041 | + | 8.27815i | −0.200152 | + | 0.306809i | ||||
\(729\) | −26.3338 | + | 5.96098i | −0.975324 | + | 0.220777i | ||||
\(730\) | −24.2508 | − | 48.7241i | −0.897561 | − | 1.80336i | ||||
\(731\) | −61.1599 | − | 6.02373i | −2.26208 | − | 0.222796i | ||||
\(732\) | 30.0480 | − | 6.34379i | 1.11061 | − | 0.234473i | ||||
\(733\) | −12.3494 | − | 3.74616i | −0.456137 | − | 0.138368i | 0.0538513 | − | 0.998549i | \(-0.482850\pi\) |
−0.509988 | + | 0.860181i | \(0.670350\pi\) | |||||||
\(734\) | 10.8751 | − | 10.2608i | 0.401406 | − | 0.378733i | ||||
\(735\) | −14.7836 | − | 12.8509i | −0.545303 | − | 0.474012i | ||||
\(736\) | −5.72691 | + | 2.72257i | −0.211097 | + | 0.100355i | ||||
\(737\) | 1.98064 | − | 1.98064i | 0.0729579 | − | 0.0729579i | ||||
\(738\) | −32.8158 | + | 3.64425i | −1.20797 | + | 0.134147i | ||||
\(739\) | 16.7730 | + | 5.08803i | 0.617005 | + | 0.187166i | 0.583288 | − | 0.812265i | \(-0.301766\pi\) |
0.0337164 | + | 0.999431i | \(0.489266\pi\) | |||||||
\(740\) | 11.3731 | − | 43.7264i | 0.418084 | − | 1.60741i | ||||
\(741\) | −14.5302 | − | 0.412012i | −0.533780 | − | 0.0151356i | ||||
\(742\) | −4.24313 | + | 12.6522i | −0.155770 | + | 0.464477i | ||||
\(743\) | 1.26368 | − | 6.35293i | 0.0463598 | − | 0.233066i | −0.950658 | − | 0.310242i | \(-0.899590\pi\) |
0.997018 | + | 0.0771751i | \(0.0245901\pi\) | |||||||
\(744\) | −17.4587 | + | 20.5369i | −0.640068 | + | 0.752918i | ||||
\(745\) | −48.9289 | + | 9.73255i | −1.79261 | + | 0.356573i | ||||
\(746\) | −26.8399 | − | 34.7139i | −0.982679 | − | 1.27097i | ||||
\(747\) | 16.6574 | − | 45.4608i | 0.609462 | − | 1.66333i | ||||
\(748\) | 7.97204 | + | 1.25615i | 0.291487 | + | 0.0459294i | ||||
\(749\) | −6.56151 | + | 0.646252i | −0.239752 | + | 0.0236135i | ||||
\(750\) | −3.86420 | + | 24.6370i | −0.141101 | + | 0.899617i | ||||
\(751\) | 14.2442 | + | 34.3886i | 0.519779 | + | 1.25486i | 0.938039 | + | 0.346530i | \(0.112640\pi\) |
−0.418260 | + | 0.908327i | \(0.637360\pi\) | |||||||
\(752\) | −16.3565 | + | 4.64109i | −0.596459 | + | 0.169243i | ||||
\(753\) | 23.4692 | + | 7.85233i | 0.855265 | + | 0.286155i | ||||
\(754\) | −12.4603 | + | 17.5238i | −0.453779 | + | 0.638181i | ||||
\(755\) | −3.58437 | − | 2.94162i | −0.130449 | − | 0.107056i | ||||
\(756\) | −2.90686 | + | 20.1669i | −0.105721 | + | 0.733463i | ||||
\(757\) | −26.1490 | + | 7.93222i | −0.950403 | + | 0.288302i | −0.727165 | − | 0.686463i | \(-0.759163\pi\) |
−0.223238 | + | 0.974764i | \(0.571663\pi\) | |||||||
\(758\) | 36.9980 | + | 21.1802i | 1.34383 | + | 0.769298i | ||||
\(759\) | −0.778746 | + | 1.36257i | −0.0282667 | + | 0.0494580i | ||||
\(760\) | −45.5140 | + | 14.3556i | −1.65097 | + | 0.520732i | ||||
\(761\) | 13.5531 | + | 20.2837i | 0.491301 | + | 0.735284i | 0.991426 | − | 0.130670i | \(-0.0417127\pi\) |
−0.500125 | + | 0.865953i | \(0.666713\pi\) | |||||||
\(762\) | 19.4574 | − | 25.7844i | 0.704867 | − | 0.934069i | ||||
\(763\) | 6.78817 | − | 5.57090i | 0.245748 | − | 0.201680i | ||||
\(764\) | 24.7303 | + | 27.7854i | 0.894711 | + | 1.00524i | ||||
\(765\) | 43.3474 | − | 31.6403i | 1.56723 | − | 1.14396i | ||||
\(766\) | −3.52301 | − | 9.25721i | −0.127291 | − | 0.334477i | ||||
\(767\) | −1.72671 | −0.0623478 | ||||||||
\(768\) | −26.2331 | + | 8.93454i | −0.946604 | + | 0.322397i | ||||
\(769\) | 35.5720 | 1.28276 | 0.641380 | − | 0.767223i | \(-0.278362\pi\) | ||||
0.641380 | + | 0.767223i | \(0.278362\pi\) | |||||||
\(770\) | 2.85663 | + | 7.50622i | 0.102946 | + | 0.270505i | ||||
\(771\) | −9.28407 | − | 14.7853i | −0.334357 | − | 0.532479i | ||||
\(772\) | −14.7745 | − | 16.5997i | −0.531746 | − | 0.597437i | ||||
\(773\) | −9.68317 | + | 7.94677i | −0.348280 | + | 0.285826i | −0.792226 | − | 0.610228i | \(-0.791078\pi\) |
0.443947 | + | 0.896053i | \(0.353578\pi\) | |||||||
\(774\) | 28.4755 | − | 43.7846i | 1.02353 | − | 1.57380i | ||||
\(775\) | 23.9690 | + | 35.8721i | 0.860992 | + | 1.28857i | ||||
\(776\) | 11.8318 | + | 37.5123i | 0.424736 | + | 1.34661i | ||||
\(777\) | −18.5867 | − | 10.6229i | −0.666795 | − | 0.381093i | ||||
\(778\) | −31.5197 | − | 18.0440i | −1.13004 | − | 0.646909i | ||||
\(779\) | −35.0660 | + | 10.6372i | −1.25637 | + | 0.381116i | ||||
\(780\) | −6.17405 | + | 21.2461i | −0.221067 | + | 0.760734i | ||||
\(781\) | −1.67857 | − | 1.37756i | −0.0600639 | − | 0.0492931i | ||||
\(782\) | 4.58600 | − | 6.44962i | 0.163995 | − | 0.230638i | ||||
\(783\) | −8.07598 | + | 43.5840i | −0.288612 | + | 1.55757i | ||||
\(784\) | −11.0241 | − | 6.15080i | −0.393719 | − | 0.219671i | ||||
\(785\) | −19.6568 | − | 47.4557i | −0.701581 | − | 1.69377i | ||||
\(786\) | −1.02771 | − | 0.161191i | −0.0366571 | − | 0.00574949i | ||||
\(787\) | −14.9962 | + | 1.47700i | −0.534558 | + | 0.0526493i | −0.361695 | − | 0.932297i | \(-0.617802\pi\) |
−0.172863 | + | 0.984946i | \(0.555302\pi\) | |||||||
\(788\) | 41.7372 | + | 6.57651i | 1.48682 | + | 0.234279i | ||||
\(789\) | 17.4115 | − | 38.8799i | 0.619867 | − | 1.38416i | ||||
\(790\) | −7.45289 | − | 9.63934i | −0.265162 | − | 0.342952i | ||||
\(791\) | 33.3059 | − | 6.62496i | 1.18422 | − | 0.235556i | ||||
\(792\) | −4.06703 | + | 5.52292i | −0.144516 | + | 0.196248i | ||||
\(793\) | 3.08263 | − | 15.4975i | 0.109468 | − | 0.550331i | ||||
\(794\) | 12.6275 | − | 37.6528i | 0.448132 | − | 1.33625i | ||||
\(795\) | −0.846699 | + | 29.8601i | −0.0300293 | + | 1.05903i | ||||
\(796\) | −3.07739 | + | 11.8317i | −0.109075 | + | 0.419363i | ||||
\(797\) | 3.49160 | + | 1.05917i | 0.123679 | + | 0.0375176i | 0.351517 | − | 0.936181i | \(-0.385666\pi\) |
−0.227839 | + | 0.973699i | \(0.573166\pi\) | |||||||
\(798\) | 0.921725 | + | 22.5944i | 0.0326287 | + | 0.799832i | ||||
\(799\) | 15.0041 | − | 15.0041i | 0.530809 | − | 0.530809i | ||||
\(800\) | 2.26449 | + | 44.2982i | 0.0800617 | + | 1.56618i | ||||
\(801\) | 7.81094 | + | 5.88563i | 0.275986 | + | 0.207959i | ||||
\(802\) | −2.10032 | + | 1.98169i | −0.0741650 | + | 0.0699758i | ||||
\(803\) | −8.30718 | − | 2.51996i | −0.293154 | − | 0.0889274i | ||||
\(804\) | −2.47966 | − | 11.7452i | −0.0874509 | − | 0.414220i | ||||
\(805\) | 7.83770 | + | 0.771946i | 0.276243 | + | 0.0272075i | ||||
\(806\) | 6.17964 | + | 12.4160i | 0.217669 | + | 0.437335i | ||||
\(807\) | −1.87833 | + | 14.7665i | −0.0661204 | + | 0.519806i | ||||
\(808\) | 38.6772 | + | 25.2318i | 1.36066 | + | 0.887652i | ||||
\(809\) | −6.14508 | + | 1.22233i | −0.216050 | + | 0.0429749i | −0.301928 | − | 0.953331i | \(-0.597630\pi\) |
0.0858786 | + | 0.996306i | \(0.472630\pi\) | |||||||
\(810\) | 6.90952 | + | 45.0835i | 0.242776 | + | 1.58407i | ||||
\(811\) | 26.1658 | − | 48.9528i | 0.918806 | − | 1.71896i | 0.261729 | − | 0.965141i | \(-0.415707\pi\) |
0.657077 | − | 0.753824i | \(-0.271793\pi\) | |||||||
\(812\) | 28.5349 | + | 17.4550i | 1.00138 | + | 0.612551i | ||||
\(813\) | 0.815106 | + | 4.80604i | 0.0285870 | + | 0.168555i | ||||
\(814\) | −3.82796 | − | 6.10578i | −0.134170 | − | 0.214007i | ||||
\(815\) | −29.2372 | − | 70.5848i | −1.02413 | − | 2.47248i | ||||
\(816\) | 23.1575 | − | 25.6892i | 0.810675 | − | 0.899300i | ||||
\(817\) | 22.1827 | − | 53.5537i | 0.776074 | − | 1.87361i | ||||
\(818\) | −0.704065 | + | 0.118898i | −0.0246171 | + | 0.00415716i | ||||
\(819\) | 8.95073 | + | 5.45785i | 0.312764 | + | 0.190713i | ||||
\(820\) | 2.23402 | + | 55.7303i | 0.0780154 | + | 1.94619i | ||||
\(821\) | 43.3978 | − | 13.1646i | 1.51459 | − | 0.459447i | 0.579835 | − | 0.814734i | \(-0.303117\pi\) |
0.934757 | + | 0.355287i | \(0.115617\pi\) | |||||||
\(822\) | −1.29564 | − | 3.71827i | −0.0451907 | − | 0.129689i | ||||
\(823\) | −7.26311 | + | 10.8700i | −0.253176 | + | 0.378905i | −0.936186 | − | 0.351504i | \(-0.885670\pi\) |
0.683010 | + | 0.730409i | \(0.260670\pi\) | |||||||
\(824\) | −9.41719 | − | 7.55652i | −0.328063 | − | 0.263244i | ||||
\(825\) | 6.72101 | + | 8.68006i | 0.233996 | + | 0.302201i | ||||
\(826\) | 0.185520 | + | 2.67976i | 0.00645507 | + | 0.0932409i | ||||
\(827\) | −4.54238 | + | 3.72783i | −0.157954 | + | 0.129629i | −0.710051 | − | 0.704151i | \(-0.751328\pi\) |
0.552097 | + | 0.833780i | \(0.313828\pi\) | |||||||
\(828\) | 3.07143 | + | 5.98351i | 0.106739 | + | 0.207941i | ||||
\(829\) | −6.90310 | − | 12.9148i | −0.239755 | − | 0.448549i | 0.733051 | − | 0.680174i | \(-0.238096\pi\) |
−0.972805 | + | 0.231625i | \(0.925596\pi\) | |||||||
\(830\) | −74.6209 | − | 33.4808i | −2.59013 | − | 1.16213i | ||||
\(831\) | 2.05828 | + | 29.4290i | 0.0714008 | + | 1.02088i | ||||
\(832\) | −1.08483 | + | 14.2174i | −0.0376096 | + | 0.492901i | ||||
\(833\) | 15.7549 | 0.545876 | ||||||||
\(834\) | 10.7949 | − | 29.3968i | 0.373797 | − | 1.01793i | ||||
\(835\) | −78.5390 | + | 41.9800i | −2.71796 | + | 1.45278i | ||||
\(836\) | −3.31656 | + | 6.85164i | −0.114706 | + | 0.236969i | ||||
\(837\) | 22.3367 | + | 17.8456i | 0.772068 | + | 0.616834i | ||||
\(838\) | −0.950529 | − | 13.7300i | −0.0328355 | − | 0.474295i | ||||
\(839\) | −20.9966 | − | 31.4236i | −0.724883 | − | 1.08486i | −0.992607 | − | 0.121369i | \(-0.961272\pi\) |
0.267724 | − | 0.963496i | \(-0.413728\pi\) | |||||||
\(840\) | 33.6363 | + | 7.29909i | 1.16056 | + | 0.251843i | ||||
\(841\) | 36.3934 | + | 24.3173i | 1.25494 | + | 0.838527i | ||||
\(842\) | −2.66533 | − | 9.80311i | −0.0918535 | − | 0.337838i | ||||
\(843\) | 2.44313 | − | 0.931756i | 0.0841457 | − | 0.0320914i | ||||
\(844\) | 19.9436 | + | 18.4063i | 0.686487 | + | 0.633571i | ||||
\(845\) | −27.2108 | − | 22.3313i | −0.936080 | − | 0.768221i | ||||
\(846\) | 5.44885 | + | 17.1906i | 0.187335 | + | 0.591027i | ||||
\(847\) | −18.7416 | − | 7.76302i | −0.643969 | − | 0.266741i | ||||
\(848\) | 3.41446 | + | 18.9462i | 0.117253 | + | 0.650616i | ||||
\(849\) | 9.47430 | − | 4.72387i | 0.325157 | − | 0.162123i | ||||
\(850\) | −29.4047 | − | 46.9019i | −1.00857 | − | 1.60872i | ||||
\(851\) | −7.03269 | + | 0.692660i | −0.241078 | + | 0.0237441i | ||||
\(852\) | −8.87298 | + | 2.80553i | −0.303983 | + | 0.0961159i | ||||
\(853\) | 30.0805 | + | 16.0784i | 1.02994 | + | 0.550513i | 0.897655 | − | 0.440699i | \(-0.145269\pi\) |
0.132282 | + | 0.991212i | \(0.457769\pi\) | |||||||
\(854\) | −24.3825 | − | 3.11902i | −0.834350 | − | 0.106731i | ||||
\(855\) | 16.6900 | + | 47.7886i | 0.570786 | + | 1.63434i | ||||
\(856\) | −7.84993 | + | 5.37110i | −0.268305 | + | 0.183580i | ||||
\(857\) | −5.65489 | + | 28.4291i | −0.193167 | + | 0.971118i | 0.755574 | + | 0.655064i | \(0.227358\pi\) |
−0.948741 | + | 0.316055i | \(0.897642\pi\) | |||||||
\(858\) | 1.78903 | + | 3.04190i | 0.0610765 | + | 0.103849i | ||||
\(859\) | −3.40535 | + | 34.5751i | −0.116189 | + | 1.17969i | 0.743453 | + | 0.668789i | \(0.233187\pi\) |
−0.859642 | + | 0.510897i | \(0.829313\pi\) | |||||||
\(860\) | −70.3893 | − | 53.1954i | −2.40026 | − | 1.81395i | ||||
\(861\) | 25.7635 | + | 5.88843i | 0.878017 | + | 0.200677i | ||||
\(862\) | 17.9445 | − | 16.9309i | 0.611192 | − | 0.576669i | ||||
\(863\) | 3.66402 | − | 3.66402i | 0.124725 | − | 0.124725i | −0.641989 | − | 0.766714i | \(-0.721891\pi\) |
0.766714 | + | 0.641989i | \(0.221891\pi\) | |||||||
\(864\) | 10.3198 | + | 27.5228i | 0.351085 | + | 0.936344i | ||||
\(865\) | −30.0170 | − | 30.0170i | −1.02061 | − | 1.02061i | ||||
\(866\) | 1.56465 | + | 0.0454735i | 0.0531689 | + | 0.00154525i | ||||
\(867\) | −3.05684 | + | 13.3745i | −0.103816 | + | 0.454223i | ||||
\(868\) | 18.6050 | − | 10.9245i | 0.631496 | − | 0.370801i | ||||
\(869\) | −1.93410 | − | 0.190492i | −0.0656098 | − | 0.00646200i | ||||
\(870\) | 72.4800 | + | 18.7972i | 2.45730 | + | 0.637284i | ||||
\(871\) | −6.05765 | − | 1.20494i | −0.205256 | − | 0.0408279i | ||||
\(872\) | 4.71881 | − | 11.7567i | 0.159799 | − | 0.398131i | ||||
\(873\) | 39.3870 | − | 13.7558i | 1.33305 | − | 0.465562i | ||||
\(874\) | 4.56579 | + | 5.90525i | 0.154440 | + | 0.199748i | ||||
\(875\) | 9.40955 | − | 17.6040i | 0.318101 | − | 0.595125i | ||||
\(876\) | −28.4797 | + | 23.9366i | −0.962240 | + | 0.808742i | ||||
\(877\) | 4.08060 | + | 41.4310i | 0.137792 | + | 1.39903i | 0.776762 | + | 0.629794i | \(0.216861\pi\) |
−0.638970 | + | 0.769232i | \(0.720639\pi\) | |||||||
\(878\) | −18.8986 | − | 4.33346i | −0.637796 | − | 0.146247i | ||||
\(879\) | 9.86380 | + | 19.7831i | 0.332698 | + | 0.667266i | ||||
\(880\) | 8.82224 | + | 7.51068i | 0.297398 | + | 0.253185i | ||||
\(881\) | 5.64526 | − | 13.6289i | 0.190193 | − | 0.459168i | −0.799802 | − | 0.600263i | \(-0.795062\pi\) |
0.989996 | + | 0.141096i | \(0.0450625\pi\) | |||||||
\(882\) | −6.16467 | + | 11.8862i | −0.207575 | + | 0.400228i | ||||
\(883\) | −4.54369 | + | 5.53650i | −0.152907 | + | 0.186318i | −0.843830 | − | 0.536611i | \(-0.819704\pi\) |
0.690923 | + | 0.722929i | \(0.257204\pi\) | |||||||
\(884\) | −7.46300 | − | 16.1547i | −0.251008 | − | 0.543341i | ||||
\(885\) | 2.14268 | + | 5.61825i | 0.0720254 | + | 0.188855i | ||||
\(886\) | 13.9225 | + | 7.97016i | 0.467734 | + | 0.267763i | ||||
\(887\) | −7.89392 | + | 11.8141i | −0.265052 | + | 0.396678i | −0.939993 | − | 0.341193i | \(-0.889169\pi\) |
0.674941 | + | 0.737871i | \(0.264169\pi\) | |||||||
\(888\) | −30.8793 | − | 0.535442i | −1.03624 | − | 0.0179683i | ||||
\(889\) | −21.4978 | + | 14.3644i | −0.721013 | + | 0.481765i | ||||
\(890\) | 10.8475 | − | 12.4612i | 0.363609 | − | 0.417699i | ||||
\(891\) | 5.98664 | + | 4.13328i | 0.200560 | + | 0.138470i | ||||
\(892\) | −18.5501 | − | 1.07916i | −0.621104 | − | 0.0361330i | ||||
\(893\) | 9.43461 | + | 17.6509i | 0.315717 | + | 0.590666i | ||||
\(894\) | 14.3232 | + | 30.9470i | 0.479038 | + | 1.03502i | ||||
\(895\) | 65.4104i | 2.18643i | ||||||||
\(896\) | 22.1813 | + | 0.156053i | 0.741025 | + | 0.00521335i | ||||
\(897\) | 3.45211 | − | 0.241442i | 0.115262 | − | 0.00806151i | ||||
\(898\) | 2.10584 | + | 5.53340i | 0.0702728 | + | 0.184652i | ||||
\(899\) | 41.3942 | − | 22.1256i | 1.38057 | − | 0.737931i | ||||
\(900\) | 46.8903 | − | 3.83211i | 1.56301 | − | 0.127737i | ||||
\(901\) | −15.2421 | − | 18.5725i | −0.507787 | − | 0.618740i | ||||
\(902\) | 6.71003 | + | 5.84111i | 0.223420 | + | 0.194488i | ||||
\(903\) | −33.0549 | + | 25.5946i | −1.10000 | + | 0.851734i | ||||
\(904\) | 37.5246 | − | 31.4934i | 1.24805 | − | 1.04746i | ||||
\(905\) | 35.7615 | + | 23.8951i | 1.18875 | + | 0.794299i | ||||
\(906\) | −1.37895 | + | 2.85390i | −0.0458126 | + | 0.0948145i | ||||
\(907\) | −8.42997 | − | 27.7899i | −0.279912 | − | 0.922748i | −0.978329 | − | 0.207056i | \(-0.933612\pi\) |
0.698417 | − | 0.715692i | \(-0.253888\pi\) | |||||||
\(908\) | 24.1151 | + | 52.2005i | 0.800288 | + | 1.73234i | ||||
\(909\) | 25.5002 | − | 41.8196i | 0.845788 | − | 1.38707i | ||||
\(910\) | 10.2624 | − | 14.4327i | 0.340194 | − | 0.478439i | ||||
\(911\) | −13.2786 | − | 5.50017i | −0.439939 | − | 0.182229i | 0.151709 | − | 0.988425i | \(-0.451522\pi\) |
−0.591648 | + | 0.806197i | \(0.701522\pi\) | |||||||
\(912\) | 16.8465 | + | 27.9357i | 0.557844 | + | 0.925045i | ||||
\(913\) | −12.0523 | + | 4.99223i | −0.398873 | + | 0.165219i | ||||
\(914\) | 3.42482 | − | 14.9359i | 0.113283 | − | 0.494036i | ||||
\(915\) | −54.2498 | + | 9.20078i | −1.79344 | + | 0.304168i | ||||
\(916\) | −24.4876 | − | 33.6481i | −0.809094 | − | 1.11176i | ||||
\(917\) | 0.734334 | + | 0.392510i | 0.0242499 | + | 0.0129618i | ||||
\(918\) | −27.9831 | − | 23.7208i | −0.923579 | − | 0.782903i | ||||
\(919\) | 1.69447 | + | 8.51867i | 0.0558954 | + | 0.281005i | 0.998617 | − | 0.0525756i | \(-0.0167431\pi\) |
−0.942722 | + | 0.333581i | \(0.891743\pi\) | |||||||
\(920\) | 10.4482 | − | 4.46318i | 0.344467 | − | 0.147147i | ||||
\(921\) | −26.0535 | − | 3.31407i | −0.858493 | − | 0.109202i | ||||
\(922\) | −1.07406 | + | 3.20265i | −0.0353724 | + | 0.105474i | ||||
\(923\) | −0.469315 | + | 4.76504i | −0.0154477 | + | 0.156843i | ||||
\(924\) | 4.52866 | − | 3.10331i | 0.148982 | − | 0.102091i | ||||
\(925\) | −14.3492 | + | 47.3031i | −0.471800 | + | 1.55532i | ||||
\(926\) | 0.193952 | − | 6.67346i | 0.00637365 | − | 0.219304i | ||||
\(927\) | −7.70689 | + | 10.2280i | −0.253128 | + | 0.335931i | ||||
\(928\) | 48.2025 | + | 2.27202i | 1.58232 | + | 0.0745827i | ||||
\(929\) | 17.3457 | + | 17.3457i | 0.569092 | + | 0.569092i | 0.931874 | − | 0.362782i | \(-0.118173\pi\) |
−0.362782 | + | 0.931874i | \(0.618173\pi\) | |||||||
\(930\) | 32.7300 | − | 35.5140i | 1.07326 | − | 1.16455i | ||||
\(931\) | −4.31372 | + | 14.2204i | −0.141376 | + | 0.466056i | ||||
\(932\) | −35.1311 | − | 26.5496i | −1.15076 | − | 0.869662i | ||||
\(933\) | −14.2813 | − | 0.404956i | −0.467550 | − | 0.0132577i | ||||
\(934\) | 14.7118 | + | 29.5585i | 0.481384 | + | 0.967185i | ||||
\(935\) | −14.1821 | − | 2.82099i | −0.463804 | − | 0.0922563i | ||||
\(936\) | 15.1079 | + | 0.690703i | 0.493818 | + | 0.0225763i | ||||
\(937\) | −7.36495 | − | 37.0261i | −0.240602 | − | 1.20959i | −0.892417 | − | 0.451212i | \(-0.850992\pi\) |
0.651814 | − | 0.758379i | \(-0.274008\pi\) | |||||||
\(938\) | −1.21916 | + | 9.53062i | −0.0398071 | + | 0.311186i | ||||
\(939\) | −2.15381 | − | 0.964537i | −0.0702868 | − | 0.0314765i | ||||
\(940\) | 29.6159 | − | 7.13504i | 0.965963 | − | 0.232719i | ||||
\(941\) | 1.40519 | + | 14.2671i | 0.0458078 | + | 0.465094i | 0.990537 | + | 0.137244i | \(0.0438243\pi\) |
−0.944730 | + | 0.327851i | \(0.893676\pi\) | |||||||
\(942\) | −28.3746 | + | 20.6806i | −0.924496 | + | 0.673809i | ||||
\(943\) | 8.05963 | − | 3.33841i | 0.262458 | − | 0.108713i | ||||
\(944\) | 2.09442 | + | 3.26038i | 0.0681676 | + | 0.106116i | ||||
\(945\) | 6.65140 | − | 35.8959i | 0.216370 | − | 1.16769i | ||||
\(946\) | −13.8763 | + | 2.34333i | −0.451157 | + | 0.0761882i | ||||
\(947\) | 14.0905 | − | 17.1693i | 0.457879 | − | 0.557927i | −0.491980 | − | 0.870607i | \(-0.663727\pi\) |
0.949859 | + | 0.312679i | \(0.101227\pi\) | |||||||
\(948\) | −5.20794 | + | 6.49972i | −0.169146 | + | 0.211101i | ||||
\(949\) | 5.55651 | + | 18.3174i | 0.180372 | + | 0.594607i | ||||
\(950\) | 50.3848 | − | 13.6989i | 1.63470 | − | 0.444452i | ||||
\(951\) | −1.64253 | + | 2.87392i | −0.0532627 | + | 0.0931934i | ||||
\(952\) | −24.2694 | + | 13.3179i | −0.786577 | + | 0.431635i | ||||
\(953\) | 16.6822 | − | 11.1467i | 0.540389 | − | 0.361076i | −0.255224 | − | 0.966882i | \(-0.582149\pi\) |
0.795613 | + | 0.605806i | \(0.207149\pi\) | |||||||
\(954\) | 19.9758 | − | 4.23209i | 0.646742 | − | 0.137019i | ||||
\(955\) | −42.2803 | − | 51.5187i | −1.36816 | − | 1.66711i | ||||
\(956\) | 8.19168 | − | 16.9231i | 0.264938 | − | 0.547332i | ||||
\(957\) | 10.1145 | − | 6.35114i | 0.326954 | − | 0.205303i | ||||
\(958\) | 1.35515 | + | 0.608026i | 0.0437829 | + | 0.0196444i | ||||
\(959\) | 3.15168i | 0.101773i | ||||||||
\(960\) | 47.6059 | − | 14.1127i | 1.53647 | − | 0.455487i | ||||
\(961\) | 0.726230i | 0.0234268i | ||||||||
\(962\) | −6.50490 | + | 14.4979i | −0.209727 | + | 0.467432i | ||||
\(963\) | 5.94791 | + | 8.14869i | 0.191669 | + | 0.262588i | ||||
\(964\) | 4.57947 | − | 1.59210i | 0.147495 | − | 0.0512781i | ||||
\(965\) | 25.2593 | + | 30.7786i | 0.813126 | + | 0.990797i | ||||
\(966\) | −0.745605 | − | 5.33155i | −0.0239895 | − | 0.171540i | ||||
\(967\) | 38.7016 | − | 25.8596i | 1.24456 | − | 0.831588i | 0.253805 | − | 0.967255i | \(-0.418318\pi\) |
0.990754 | + | 0.135667i | \(0.0433178\pi\) | |||||||
\(968\) | −29.0904 | + | 3.18891i | −0.935001 | + | 0.102495i | ||||
\(969\) | −35.3475 | − | 20.2021i | −1.13552 | − | 0.648985i | ||||
\(970\) | −18.4901 | − | 68.0069i | −0.593683 | − | 2.18357i | ||||
\(971\) | 15.3990 | + | 50.7637i | 0.494177 | + | 1.62908i | 0.749340 | + | 0.662186i | \(0.230371\pi\) |
−0.255163 | + | 0.966898i | \(0.582129\pi\) | |||||||
\(972\) | 28.8453 | − | 11.8300i | 0.925213 | − | 0.379447i | ||||
\(973\) | −15.9017 | + | 19.3763i | −0.509785 | + | 0.621175i | ||||
\(974\) | 8.36694 | + | 49.5458i | 0.268094 | + | 1.58755i | ||||
\(975\) | 7.68050 | − | 22.9556i | 0.245973 | − | 0.735168i | ||||
\(976\) | −33.0015 | + | 12.9771i | −1.05635 | + | 0.415386i | ||||
\(977\) | 29.9434 | − | 12.4030i | 0.957974 | − | 0.396806i | 0.151752 | − | 0.988419i | \(-0.451509\pi\) |
0.806222 | + | 0.591613i | \(0.201509\pi\) | |||||||
\(978\) | −42.2039 | + | 30.7599i | −1.34953 | + | 0.983594i | ||||
\(979\) | −0.258291 | − | 2.62247i | −0.00825502 | − | 0.0838146i | ||||
\(980\) | 19.2949 | + | 11.8029i | 0.616354 | + | 0.377028i | ||||
\(981\) | −12.6165 | − | 4.62285i | −0.402815 | − | 0.147596i | ||||
\(982\) | 14.7288 | + | 1.88412i | 0.470016 | + | 0.0601248i | ||||
\(983\) | −6.18392 | − | 31.0887i | −0.197236 | − | 0.991575i | −0.944866 | − | 0.327458i | \(-0.893808\pi\) |
0.747629 | − | 0.664116i | \(-0.231192\pi\) | |||||||
\(984\) | 36.6701 | − | 10.4330i | 1.16900 | − | 0.332593i | ||||
\(985\) | −74.2495 | − | 14.7692i | −2.36579 | − | 0.470584i | ||||
\(986\) | −53.9156 | + | 26.8346i | −1.71702 | + | 0.854589i | ||||
\(987\) | 0.409131 | − | 14.4286i | 0.0130228 | − | 0.459266i | ||||
\(988\) | 16.6246 | − | 2.31294i | 0.528900 | − | 0.0735843i | ||||
\(989\) | −4.00587 | + | 13.2056i | −0.127379 | + | 0.419913i | ||||
\(990\) | 7.67751 | − | 9.59574i | 0.244007 | − | 0.304973i | ||||
\(991\) | −2.15912 | − | 2.15912i | −0.0685867 | − | 0.0685867i | 0.671981 | − | 0.740568i | \(-0.265443\pi\) |
−0.740568 | + | 0.671981i | \(0.765443\pi\) | |||||||
\(992\) | 15.9483 | − | 26.7285i | 0.506360 | − | 0.848630i | ||||
\(993\) | 16.0351 | − | 18.4467i | 0.508857 | − | 0.585389i | ||||
\(994\) | 7.44551 | + | 0.216390i | 0.236157 | + | 0.00686348i | ||||
\(995\) | 6.35852 | − | 20.9612i | 0.201579 | − | 0.664516i | ||||
\(996\) | −10.2636 | + | 54.9563i | −0.325216 | + | 1.74136i | ||||
\(997\) | −0.535666 | + | 5.43871i | −0.0169647 | + | 0.172246i | −0.999934 | − | 0.0115266i | \(-0.996331\pi\) |
0.982969 | + | 0.183772i | \(0.0588309\pi\) | |||||||
\(998\) | −37.0850 | − | 12.4371i | −1.17391 | − | 0.393689i | ||||
\(999\) | 0.430118 | + | 32.7545i | 0.0136083 | + | 1.03631i |
(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 | 384.2.w.a.155.23 | ✓ | 992 | |
3.2 | odd | 2 | inner | 384.2.w.a.155.40 | yes | 992 | |
128.19 | odd | 32 | inner | 384.2.w.a.275.40 | yes | 992 | |
384.275 | even | 32 | inner | 384.2.w.a.275.23 | yes | 992 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
384.2.w.a.155.23 | ✓ | 992 | 1.1 | even | 1 | trivial | |
384.2.w.a.155.40 | yes | 992 | 3.2 | odd | 2 | inner | |
384.2.w.a.275.23 | yes | 992 | 384.275 | even | 32 | inner | |
384.2.w.a.275.40 | yes | 992 | 128.19 | odd | 32 | inner |