Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [576,2,Mod(13,576)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(576, base_ring=CyclotomicField(48))
chi = DirichletCharacter(H, H._module([0, 45, 16]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("576.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 576 = 2^{6} \cdot 3^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 576.bm (of order \(48\), 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: | \(4.59938315643\) |
Analytic rank: | \(0\) |
Dimension: | \(1504\) |
Relative dimension: | \(94\) over \(\Q(\zeta_{48})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{48}]$ |
Embedding invariants
Embedding label | 205.85 | ||
Character | \(\chi\) | \(=\) | 576.205 |
Dual form | 576.2.bm.a.517.85 |
$q$-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 \(\left(\mathbb{Z}/576\mathbb{Z}\right)^\times\).
\(n\) | \(65\) | \(127\) | \(325\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(1\) | \(e\left(\frac{15}{16}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.32737 | + | 0.487953i | 0.938590 | + | 0.345035i | ||||
\(3\) | −1.45886 | + | 0.933662i | −0.842274 | + | 0.539050i | ||||
\(4\) | 1.52380 | + | 1.29538i | 0.761902 | + | 0.647692i | ||||
\(5\) | −2.04078 | − | 2.32706i | −0.912663 | − | 1.04069i | −0.999013 | − | 0.0444278i | \(-0.985854\pi\) |
0.0863496 | − | 0.996265i | \(-0.472480\pi\) | |||||||
\(6\) | −2.39203 | + | 0.527456i | −0.976541 | + | 0.215333i | ||||
\(7\) | −3.49658 | − | 0.460333i | −1.32158 | − | 0.173990i | −0.563483 | − | 0.826128i | \(-0.690539\pi\) |
−0.758100 | + | 0.652138i | \(0.773872\pi\) | |||||||
\(8\) | 1.39056 | + | 2.46299i | 0.491637 | + | 0.870800i | ||||
\(9\) | 1.25655 | − | 2.72417i | 0.418850 | − | 0.908055i | ||||
\(10\) | −1.57336 | − | 4.08466i | −0.497541 | − | 1.29168i | ||||
\(11\) | 0.915792 | + | 1.85704i | 0.276122 | + | 0.559919i | 0.990119 | − | 0.140229i | \(-0.0447839\pi\) |
−0.713998 | + | 0.700148i | \(0.753117\pi\) | |||||||
\(12\) | −3.43247 | − | 0.467069i | −0.990869 | − | 0.134831i | ||||
\(13\) | −0.864228 | − | 2.54593i | −0.239694 | − | 0.706115i | −0.998498 | − | 0.0547958i | \(-0.982549\pi\) |
0.758804 | − | 0.651319i | \(-0.225784\pi\) | |||||||
\(14\) | −4.41662 | − | 2.31720i | −1.18039 | − | 0.619297i | ||||
\(15\) | 5.14990 | + | 1.48946i | 1.32970 | + | 0.384577i | ||||
\(16\) | 0.643957 | + | 3.94782i | 0.160989 | + | 0.986956i | ||||
\(17\) | −5.16851 | − | 5.16851i | −1.25355 | − | 1.25355i | −0.954119 | − | 0.299428i | \(-0.903204\pi\) |
−0.299428 | − | 0.954119i | \(-0.596796\pi\) | |||||||
\(18\) | 2.99717 | − | 3.00283i | 0.706439 | − | 0.707774i | ||||
\(19\) | 1.60715 | − | 8.07969i | 0.368706 | − | 1.85361i | −0.136542 | − | 0.990634i | \(-0.543599\pi\) |
0.505248 | − | 0.862974i | \(-0.331401\pi\) | |||||||
\(20\) | −0.0953062 | − | 6.18957i | −0.0213111 | − | 1.38403i | ||||
\(21\) | 5.53082 | − | 2.59306i | 1.20692 | − | 0.565852i | ||||
\(22\) | 0.309442 | + | 2.91184i | 0.0659733 | + | 0.620806i | ||||
\(23\) | 0.0532407 | + | 0.404403i | 0.0111014 | + | 0.0843239i | 0.996099 | − | 0.0882462i | \(-0.0281262\pi\) |
−0.984997 | + | 0.172570i | \(0.944793\pi\) | |||||||
\(24\) | −4.32824 | − | 2.29485i | −0.883498 | − | 0.468435i | ||||
\(25\) | −0.597807 | + | 4.54079i | −0.119561 | + | 0.908158i | ||||
\(26\) | 0.0951482 | − | 3.80109i | 0.0186601 | − | 0.745455i | ||||
\(27\) | 0.710316 | + | 5.14737i | 0.136700 | + | 0.990612i | ||||
\(28\) | −4.73179 | − | 5.23087i | −0.894225 | − | 0.988542i | ||||
\(29\) | −3.08003 | + | 0.201876i | −0.571948 | + | 0.0374874i | −0.348633 | − | 0.937259i | \(-0.613354\pi\) |
−0.223314 | + | 0.974747i | \(0.571688\pi\) | |||||||
\(30\) | 6.10901 | + | 4.48997i | 1.11535 | + | 0.819752i | ||||
\(31\) | −7.84587 | + | 4.52982i | −1.40916 | + | 0.813579i | −0.995307 | − | 0.0967642i | \(-0.969151\pi\) |
−0.413853 | + | 0.910344i | \(0.635817\pi\) | |||||||
\(32\) | −1.07158 | + | 5.55443i | −0.189431 | + | 0.981894i | ||||
\(33\) | −3.06986 | − | 1.85413i | −0.534394 | − | 0.322762i | ||||
\(34\) | −4.33851 | − | 9.38249i | −0.744049 | − | 1.60908i | ||||
\(35\) | 6.06451 | + | 9.07618i | 1.02509 | + | 1.53416i | ||||
\(36\) | 5.44358 | − | 2.52338i | 0.907263 | − | 0.420563i | ||||
\(37\) | −0.953475 | − | 4.79344i | −0.156750 | − | 0.788037i | −0.976534 | − | 0.215363i | \(-0.930906\pi\) |
0.819784 | − | 0.572673i | \(-0.194094\pi\) | |||||||
\(38\) | 6.07579 | − | 9.94050i | 0.985623 | − | 1.61256i | ||||
\(39\) | 3.63783 | + | 2.90727i | 0.582519 | + | 0.465535i | ||||
\(40\) | 2.89371 | − | 8.26234i | 0.457536 | − | 1.30639i | ||||
\(41\) | 0.508541 | + | 3.86275i | 0.0794207 | + | 0.603260i | 0.984158 | + | 0.177291i | \(0.0567334\pi\) |
−0.904738 | + | 0.425969i | \(0.859933\pi\) | |||||||
\(42\) | 8.60671 | − | 0.743162i | 1.32804 | − | 0.114672i | ||||
\(43\) | 9.63376 | − | 4.75085i | 1.46913 | − | 0.724497i | 0.480805 | − | 0.876827i | \(-0.340344\pi\) |
0.988330 | + | 0.152330i | \(0.0486778\pi\) | |||||||
\(44\) | −1.01010 | + | 4.01607i | −0.152278 | + | 0.605445i | ||||
\(45\) | −8.90364 | + | 2.63534i | −1.32728 | + | 0.392854i | ||||
\(46\) | −0.126660 | + | 0.562770i | −0.0186750 | + | 0.0829759i | ||||
\(47\) | −9.03395 | + | 2.42064i | −1.31774 | + | 0.353087i | −0.848130 | − | 0.529788i | \(-0.822271\pi\) |
−0.469608 | + | 0.882875i | \(0.655605\pi\) | |||||||
\(48\) | −4.62538 | − | 5.15809i | −0.667616 | − | 0.744506i | ||||
\(49\) | 5.25267 | + | 1.40745i | 0.750382 | + | 0.201064i | ||||
\(50\) | −3.00920 | + | 5.73559i | −0.425565 | + | 0.811136i | ||||
\(51\) | 12.3658 | + | 2.71450i | 1.73155 | + | 0.380105i | ||||
\(52\) | 1.98105 | − | 4.99901i | 0.274722 | − | 0.693238i | ||||
\(53\) | −0.824481 | + | 1.23392i | −0.113251 | + | 0.169492i | −0.883765 | − | 0.467931i | \(-0.845000\pi\) |
0.770514 | + | 0.637423i | \(0.220000\pi\) | |||||||
\(54\) | −1.56883 | + | 7.17905i | −0.213490 | + | 0.976945i | ||||
\(55\) | 2.45252 | − | 5.92091i | 0.330698 | − | 0.798375i | ||||
\(56\) | −3.72840 | − | 9.25218i | −0.498229 | − | 1.23637i | ||||
\(57\) | 5.19909 | + | 13.2877i | 0.688636 | + | 1.76000i | ||||
\(58\) | −4.18684 | − | 1.23495i | −0.549759 | − | 0.162156i | ||||
\(59\) | 7.05072 | + | 8.03981i | 0.917926 | + | 1.04669i | 0.998751 | + | 0.0499658i | \(0.0159112\pi\) |
−0.0808248 | + | 0.996728i | \(0.525755\pi\) | |||||||
\(60\) | 5.91801 | + | 8.94074i | 0.764011 | + | 1.15425i | ||||
\(61\) | 0.367189 | + | 5.60222i | 0.0470137 | + | 0.717291i | 0.954687 | + | 0.297613i | \(0.0961903\pi\) |
−0.907673 | + | 0.419678i | \(0.862143\pi\) | |||||||
\(62\) | −12.6247 | + | 2.18431i | −1.60334 | + | 0.277408i | ||||
\(63\) | −5.64765 | + | 8.94683i | −0.711538 | + | 1.12719i | ||||
\(64\) | −4.13269 | + | 6.84988i | −0.516586 | + | 0.856235i | ||||
\(65\) | −4.16084 | + | 7.20679i | −0.516089 | + | 0.893892i | ||||
\(66\) | −3.17011 | − | 3.95905i | −0.390213 | − | 0.487326i | ||||
\(67\) | −1.26358 | − | 0.623127i | −0.154370 | − | 0.0761270i | 0.363463 | − | 0.931609i | \(-0.381594\pi\) |
−0.517833 | + | 0.855482i | \(0.673261\pi\) | |||||||
\(68\) | −1.18059 | − | 14.5710i | −0.143167 | − | 1.76699i | ||||
\(69\) | −0.455246 | − | 0.540259i | −0.0548052 | − | 0.0650396i | ||||
\(70\) | 3.62108 | + | 15.0066i | 0.432802 | + | 1.79363i | ||||
\(71\) | −0.142043 | − | 0.342923i | −0.0168575 | − | 0.0406975i | 0.915227 | − | 0.402939i | \(-0.132011\pi\) |
−0.932084 | + | 0.362242i | \(0.882011\pi\) | |||||||
\(72\) | 8.45692 | − | 0.693236i | 0.996657 | − | 0.0816987i | ||||
\(73\) | 0.715037 | − | 1.72625i | 0.0836888 | − | 0.202043i | −0.876495 | − | 0.481410i | \(-0.840125\pi\) |
0.960184 | + | 0.279368i | \(0.0901248\pi\) | |||||||
\(74\) | 1.07336 | − | 6.82790i | 0.124776 | − | 0.793728i | ||||
\(75\) | −3.36745 | − | 7.18253i | −0.388839 | − | 0.829368i | ||||
\(76\) | 12.9153 | − | 10.2300i | 1.48149 | − | 1.17346i | ||||
\(77\) | −2.34728 | − | 6.91486i | −0.267497 | − | 0.788022i | ||||
\(78\) | 3.41012 | + | 5.63410i | 0.386121 | + | 0.637936i | ||||
\(79\) | 0.200263 | + | 0.747391i | 0.0225313 | + | 0.0840881i | 0.976276 | − | 0.216530i | \(-0.0694738\pi\) |
−0.953745 | + | 0.300618i | \(0.902807\pi\) | |||||||
\(80\) | 7.87265 | − | 9.55515i | 0.880189 | − | 1.06830i | ||||
\(81\) | −5.84216 | − | 6.84611i | −0.649129 | − | 0.760679i | ||||
\(82\) | −1.20982 | + | 5.37543i | −0.133602 | + | 0.593617i | ||||
\(83\) | −9.36701 | − | 8.21465i | −1.02816 | − | 0.901675i | −0.0329554 | − | 0.999457i | \(-0.510492\pi\) |
−0.995208 | + | 0.0977818i | \(0.968825\pi\) | |||||||
\(84\) | 11.7869 | + | 3.21322i | 1.28606 | + | 0.350591i | ||||
\(85\) | −1.47966 | + | 22.5752i | −0.160491 | + | 2.44862i | ||||
\(86\) | 15.1057 | − | 1.60529i | 1.62889 | − | 0.173103i | ||||
\(87\) | 4.30485 | − | 3.17022i | 0.461529 | − | 0.339883i | ||||
\(88\) | −3.30042 | + | 4.83792i | −0.351826 | + | 0.515724i | ||||
\(89\) | 0.00819405 | − | 0.00339409i | 0.000868568 | − | 0.000359772i | −0.382249 | − | 0.924059i | \(-0.624850\pi\) |
0.383118 | + | 0.923700i | \(0.374850\pi\) | |||||||
\(90\) | −13.1043 | − | 0.846488i | −1.38132 | − | 0.0892276i | ||||
\(91\) | 1.84986 | + | 9.29989i | 0.193918 | + | 0.974893i | ||||
\(92\) | −0.442729 | + | 0.685198i | −0.0461577 | + | 0.0714369i | ||||
\(93\) | 7.21672 | − | 13.9338i | 0.748339 | − | 1.44486i | ||||
\(94\) | −13.1725 | − | 1.19507i | −1.35864 | − | 0.123262i | ||||
\(95\) | −22.0818 | + | 12.7489i | −2.26554 | + | 1.30801i | ||||
\(96\) | −3.62267 | − | 9.10364i | −0.369737 | − | 0.929136i | ||||
\(97\) | 6.18232 | + | 3.56937i | 0.627720 | + | 0.362414i | 0.779868 | − | 0.625943i | \(-0.215286\pi\) |
−0.152149 | + | 0.988358i | \(0.548619\pi\) | |||||||
\(98\) | 6.28545 | + | 4.43126i | 0.634927 | + | 0.447625i | ||||
\(99\) | 6.20963 | − | 0.161300i | 0.624091 | − | 0.0162113i | ||||
\(100\) | −6.79301 | + | 6.14489i | −0.679301 | + | 0.614489i | ||||
\(101\) | −1.32676 | − | 0.450375i | −0.132018 | − | 0.0448140i | 0.254649 | − | 0.967034i | \(-0.418040\pi\) |
−0.386666 | + | 0.922220i | \(0.626374\pi\) | |||||||
\(102\) | 15.0894 | + | 9.63704i | 1.49407 | + | 0.954209i | ||||
\(103\) | 0.438068 | + | 0.336142i | 0.0431641 | + | 0.0331210i | 0.630118 | − | 0.776499i | \(-0.283006\pi\) |
−0.586954 | + | 0.809620i | \(0.699673\pi\) | |||||||
\(104\) | 5.06886 | − | 5.66886i | 0.497043 | − | 0.555878i | ||||
\(105\) | −17.3214 | − | 7.57869i | −1.69039 | − | 0.739604i | ||||
\(106\) | −1.69649 | + | 1.23556i | −0.164777 | + | 0.120008i | ||||
\(107\) | −12.6156 | − | 8.42948i | −1.21960 | − | 0.814909i | −0.232122 | − | 0.972687i | \(-0.574567\pi\) |
−0.987475 | + | 0.157778i | \(0.949567\pi\) | |||||||
\(108\) | −5.58545 | + | 8.76372i | −0.537460 | + | 0.843289i | ||||
\(109\) | 3.49715 | − | 17.5814i | 0.334966 | − | 1.68399i | −0.335493 | − | 0.942043i | \(-0.608903\pi\) |
0.670459 | − | 0.741946i | \(-0.266097\pi\) | |||||||
\(110\) | 6.14452 | − | 6.66250i | 0.585857 | − | 0.635245i | ||||
\(111\) | 5.86644 | + | 6.10274i | 0.556818 | + | 0.579247i | ||||
\(112\) | −0.434333 | − | 14.1003i | −0.0410406 | − | 1.33235i | ||||
\(113\) | −13.8491 | − | 3.71087i | −1.30282 | − | 0.349089i | −0.460303 | − | 0.887762i | \(-0.652259\pi\) |
−0.842515 | + | 0.538673i | \(0.818926\pi\) | |||||||
\(114\) | 0.417336 | + | 20.1745i | 0.0390871 | + | 1.88952i | ||||
\(115\) | 0.832418 | − | 0.949191i | 0.0776234 | − | 0.0885125i | ||||
\(116\) | −4.95487 | − | 3.68221i | −0.460048 | − | 0.341884i | ||||
\(117\) | −8.02149 | − | 0.844796i | −0.741587 | − | 0.0781014i | ||||
\(118\) | 5.43585 | + | 14.1122i | 0.500410 | + | 1.29913i | ||||
\(119\) | 15.6928 | + | 20.4513i | 1.43856 | + | 1.87477i | ||||
\(120\) | 3.49270 | + | 14.7554i | 0.318839 | + | 1.34697i | ||||
\(121\) | 4.08645 | − | 5.32556i | 0.371495 | − | 0.484142i | ||||
\(122\) | −2.24622 | + | 7.61537i | −0.203364 | + | 0.689463i | ||||
\(123\) | −4.34839 | − | 5.16041i | −0.392081 | − | 0.465298i | ||||
\(124\) | −17.8234 | − | 3.26087i | −1.60059 | − | 0.292835i | ||||
\(125\) | −1.08095 | + | 0.722265i | −0.0966828 | + | 0.0646014i | ||||
\(126\) | −11.8621 | + | 9.11993i | −1.05676 | + | 0.812468i | ||||
\(127\) | 10.3366 | 0.917228 | 0.458614 | − | 0.888636i | \(-0.348346\pi\) | ||||
0.458614 | + | 0.888636i | \(0.348346\pi\) | |||||||
\(128\) | −8.82801 | + | 7.07575i | −0.780293 | + | 0.625414i | ||||
\(129\) | −9.61864 | + | 15.9255i | −0.846874 | + | 1.40216i | ||||
\(130\) | −9.03954 | + | 7.53576i | −0.792820 | + | 0.660930i | ||||
\(131\) | 7.22624 | + | 3.56359i | 0.631359 | + | 0.311352i | 0.729665 | − | 0.683804i | \(-0.239676\pi\) |
−0.0983062 | + | 0.995156i | \(0.531342\pi\) | |||||||
\(132\) | −2.27606 | − | 6.80198i | −0.198106 | − | 0.592036i | ||||
\(133\) | −9.33888 | + | 27.5115i | −0.809784 | + | 2.38555i | ||||
\(134\) | −1.37317 | − | 1.44368i | −0.118624 | − | 0.124715i | ||||
\(135\) | 10.5286 | − | 12.1576i | 0.906162 | − | 1.04636i | ||||
\(136\) | 5.54289 | − | 19.9171i | 0.475298 | − | 1.70788i | ||||
\(137\) | 2.22033 | + | 2.89360i | 0.189696 | + | 0.247217i | 0.878513 | − | 0.477719i | \(-0.158536\pi\) |
−0.688817 | + | 0.724935i | \(0.741870\pi\) | |||||||
\(138\) | −0.340658 | − | 0.939261i | −0.0289987 | − | 0.0799552i | ||||
\(139\) | 18.8114 | + | 1.23297i | 1.59556 | + | 0.104579i | 0.837068 | − | 0.547099i | \(-0.184268\pi\) |
0.758496 | + | 0.651678i | \(0.225934\pi\) | |||||||
\(140\) | −2.51602 | + | 21.6862i | −0.212643 | + | 1.83282i | ||||
\(141\) | 10.9192 | − | 11.9660i | 0.919565 | − | 1.00772i | ||||
\(142\) | −0.0212134 | − | 0.524495i | −0.00178019 | − | 0.0440147i | ||||
\(143\) | 3.93645 | − | 3.93645i | 0.329183 | − | 0.329183i | ||||
\(144\) | 11.5637 | + | 3.20640i | 0.963641 | + | 0.267200i | ||||
\(145\) | 6.75543 | + | 6.75543i | 0.561008 | + | 0.561008i | ||||
\(146\) | 1.79145 | − | 1.94247i | 0.148261 | − | 0.160760i | ||||
\(147\) | −8.97700 | + | 2.85095i | −0.740411 | + | 0.235142i | ||||
\(148\) | 4.75644 | − | 8.53938i | 0.390977 | − | 0.701933i | ||||
\(149\) | 0.559216 | − | 8.53199i | 0.0458128 | − | 0.698968i | −0.911751 | − | 0.410744i | \(-0.865269\pi\) |
0.957563 | − | 0.288223i | \(-0.0930645\pi\) | |||||||
\(150\) | −0.965099 | − | 11.1770i | −0.0788000 | − | 0.912599i | ||||
\(151\) | −6.57453 | + | 5.04481i | −0.535028 | + | 0.410541i | −0.840623 | − | 0.541620i | \(-0.817811\pi\) |
0.305596 | + | 0.952161i | \(0.401144\pi\) | |||||||
\(152\) | 22.1351 | − | 7.27689i | 1.79539 | − | 0.590234i | ||||
\(153\) | −20.5744 | + | 7.58537i | −1.66334 | + | 0.613241i | ||||
\(154\) | 0.258427 | − | 10.3239i | 0.0208246 | − | 0.831925i | ||||
\(155\) | 26.5528 | + | 9.01347i | 2.13277 | + | 0.723979i | ||||
\(156\) | 1.77731 | + | 9.14249i | 0.142299 | + | 0.731985i | ||||
\(157\) | 4.07419 | − | 8.26165i | 0.325156 | − | 0.659351i | −0.671505 | − | 0.741000i | \(-0.734352\pi\) |
0.996661 | + | 0.0816486i | \(0.0260185\pi\) | |||||||
\(158\) | −0.0988694 | + | 1.08978i | −0.00786563 | + | 0.0866983i | ||||
\(159\) | 0.0507365 | − | 2.56991i | 0.00402366 | − | 0.203807i | ||||
\(160\) | 15.1124 | − | 8.84171i | 1.19474 | − | 0.698999i | ||||
\(161\) | − | 1.43854i | − | 0.113372i | ||||||
\(162\) | −4.41411 | − | 11.9380i | −0.346805 | − | 0.937937i | ||||
\(163\) | 2.29522 | + | 3.43504i | 0.179775 | + | 0.269053i | 0.910402 | − | 0.413724i | \(-0.135772\pi\) |
−0.730627 | + | 0.682777i | \(0.760772\pi\) | |||||||
\(164\) | −4.22883 | + | 6.54483i | −0.330216 | + | 0.511065i | ||||
\(165\) | 1.95024 | + | 10.9276i | 0.151826 | + | 0.850713i | ||||
\(166\) | −8.42510 | − | 15.4745i | −0.653914 | − | 1.20106i | ||||
\(167\) | 6.57966 | + | 5.04875i | 0.509150 | + | 0.390684i | 0.831144 | − | 0.556057i | \(-0.187687\pi\) |
−0.321994 | + | 0.946742i | \(0.604353\pi\) | |||||||
\(168\) | 14.0776 | + | 10.0166i | 1.08611 | + | 0.772795i | ||||
\(169\) | 4.57871 | − | 3.51336i | 0.352208 | − | 0.270259i | ||||
\(170\) | −12.9797 | + | 29.2435i | −0.995495 | + | 2.24288i | ||||
\(171\) | −19.9910 | − | 14.5307i | −1.52875 | − | 1.11119i | ||||
\(172\) | 20.8341 | + | 5.24007i | 1.58859 | + | 0.399551i | ||||
\(173\) | 4.54191 | + | 3.98315i | 0.345315 | + | 0.302833i | 0.814382 | − | 0.580329i | \(-0.197076\pi\) |
−0.469066 | + | 0.883163i | \(0.655410\pi\) | |||||||
\(174\) | 7.26104 | − | 2.10747i | 0.550458 | − | 0.159767i | ||||
\(175\) | 4.18056 | − | 15.6020i | 0.316020 | − | 1.17940i | ||||
\(176\) | −6.74154 | + | 4.81124i | −0.508163 | + | 0.362661i | ||||
\(177\) | −17.7925 | − | 5.14597i | −1.33737 | − | 0.386795i | ||||
\(178\) | 0.0125327 | 0.000506887i | 0.000939363 | 3.79928e-5i | ||||||
\(179\) | −0.365397 | − | 0.0726820i | −0.0273111 | − | 0.00543251i | 0.181416 | − | 0.983406i | \(-0.441932\pi\) |
−0.208727 | + | 0.977974i | \(0.566932\pi\) | |||||||
\(180\) | −16.9812 | − | 7.51789i | −1.26570 | − | 0.560350i | ||||
\(181\) | 7.68179 | − | 11.4966i | 0.570983 | − | 0.854536i | −0.427799 | − | 0.903874i | \(-0.640711\pi\) |
0.998782 | + | 0.0493373i | \(0.0157109\pi\) | |||||||
\(182\) | −2.08246 | + | 13.2470i | −0.154362 | + | 0.981934i | ||||
\(183\) | −5.76625 | − | 7.83003i | −0.426254 | − | 0.578812i | ||||
\(184\) | −0.922008 | + | 0.693478i | −0.0679714 | + | 0.0511239i | ||||
\(185\) | −9.20879 | + | 12.0011i | −0.677044 | + | 0.882341i | ||||
\(186\) | 16.3783 | − | 14.9738i | 1.20091 | − | 1.09793i | ||||
\(187\) | 4.86486 | − | 14.3314i | 0.355754 | − | 1.04802i | ||||
\(188\) | −16.9016 | − | 8.01386i | −1.23268 | − | 0.584471i | ||||
\(189\) | −0.114167 | − | 18.3252i | −0.00830446 | − | 1.33296i | ||||
\(190\) | −35.5315 | + | 6.14762i | −2.57772 | + | 0.445995i | ||||
\(191\) | −1.82065 | + | 3.15346i | −0.131738 | + | 0.228176i | −0.924346 | − | 0.381554i | \(-0.875389\pi\) |
0.792609 | + | 0.609730i | \(0.208722\pi\) | |||||||
\(192\) | −0.366459 | − | 13.8516i | −0.0264469 | − | 0.999650i | ||||
\(193\) | −10.3446 | − | 17.9174i | −0.744621 | − | 1.28972i | −0.950372 | − | 0.311117i | \(-0.899297\pi\) |
0.205750 | − | 0.978605i | \(-0.434037\pi\) | |||||||
\(194\) | 6.46453 | + | 7.75454i | 0.464126 | + | 0.556743i | ||||
\(195\) | −0.658614 | − | 14.3985i | −0.0471643 | − | 1.03110i | ||||
\(196\) | 6.18086 | + | 8.94891i | 0.441490 | + | 0.639208i | ||||
\(197\) | 16.5717 | − | 3.29632i | 1.18069 | − | 0.234853i | 0.434552 | − | 0.900647i | \(-0.356907\pi\) |
0.746136 | + | 0.665794i | \(0.231907\pi\) | |||||||
\(198\) | 8.32116 | + | 2.81590i | 0.591359 | + | 0.200117i | ||||
\(199\) | −3.40906 | − | 8.23020i | −0.241662 | − | 0.583424i | 0.755786 | − | 0.654819i | \(-0.227255\pi\) |
−0.997448 | + | 0.0713949i | \(0.977255\pi\) | |||||||
\(200\) | −12.0152 | + | 4.84185i | −0.849605 | + | 0.342370i | ||||
\(201\) | 2.42517 | − | 0.270697i | 0.171058 | − | 0.0190935i | ||||
\(202\) | −1.54134 | − | 1.24521i | −0.108448 | − | 0.0876127i | ||||
\(203\) | 10.8625 | + | 0.711966i | 0.762398 | + | 0.0499702i | ||||
\(204\) | 15.3267 | + | 20.1548i | 1.07308 | + | 1.41112i | ||||
\(205\) | 7.95103 | − | 9.06641i | 0.555324 | − | 0.633226i | ||||
\(206\) | 0.417456 | + | 0.659940i | 0.0290855 | + | 0.0459802i | ||||
\(207\) | 1.16856 | + | 0.363117i | 0.0812206 | + | 0.0252384i | ||||
\(208\) | 9.49437 | − | 5.05129i | 0.658316 | − | 0.350244i | ||||
\(209\) | 16.4761 | − | 4.41477i | 1.13968 | − | 0.305376i | ||||
\(210\) | −19.2938 | − | 18.5117i | −1.33140 | − | 1.27743i | ||||
\(211\) | −13.8592 | + | 4.70456i | −0.954106 | + | 0.323875i | −0.754721 | − | 0.656046i | \(-0.772228\pi\) |
−0.199385 | + | 0.979921i | \(0.563894\pi\) | |||||||
\(212\) | −2.85475 | + | 0.812237i | −0.196065 | + | 0.0557847i | ||||
\(213\) | 0.527396 | + | 0.367657i | 0.0361366 | + | 0.0251914i | ||||
\(214\) | −12.6323 | − | 17.3448i | −0.863530 | − | 1.18567i | ||||
\(215\) | −30.7159 | − | 12.7229i | −2.09480 | − | 0.867696i | ||||
\(216\) | −11.6902 | + | 8.90723i | −0.795419 | + | 0.606061i | ||||
\(217\) | 29.5189 | − | 12.2271i | 2.00388 | − | 0.830033i | ||||
\(218\) | 13.2209 | − | 21.6305i | 0.895431 | − | 1.46500i | ||||
\(219\) | 0.568596 | + | 3.18596i | 0.0384222 | + | 0.215288i | ||||
\(220\) | 11.4070 | − | 5.84535i | 0.769061 | − | 0.394093i | ||||
\(221\) | −8.69190 | + | 17.6254i | −0.584681 | + | 1.18562i | ||||
\(222\) | 4.80907 | + | 10.9631i | 0.322763 | + | 0.735796i | ||||
\(223\) | −6.87159 | − | 3.96732i | −0.460156 | − | 0.265671i | 0.251954 | − | 0.967739i | \(-0.418927\pi\) |
−0.712110 | + | 0.702068i | \(0.752260\pi\) | |||||||
\(224\) | 6.30377 | − | 18.9282i | 0.421188 | − | 1.26469i | ||||
\(225\) | 11.6187 | + | 7.33426i | 0.774580 | + | 0.488951i | ||||
\(226\) | −16.5722 | − | 11.6834i | −1.10236 | − | 0.777169i | ||||
\(227\) | 0.171234 | − | 0.0112233i | 0.0113652 | − | 0.000744914i | −0.0597195 | − | 0.998215i | \(-0.519021\pi\) |
0.0710847 | + | 0.997470i | \(0.477354\pi\) | |||||||
\(228\) | −9.29027 | + | 26.9826i | −0.615263 | + | 1.78697i | ||||
\(229\) | −5.86677 | + | 5.14502i | −0.387687 | + | 0.339993i | −0.830898 | − | 0.556425i | \(-0.812173\pi\) |
0.443211 | + | 0.896418i | \(0.353839\pi\) | |||||||
\(230\) | 1.56808 | − | 0.853743i | 0.103396 | − | 0.0562942i | ||||
\(231\) | 9.88050 | + | 7.89626i | 0.650089 | + | 0.519536i | ||||
\(232\) | −4.78019 | − | 7.30538i | −0.313835 | − | 0.479622i | ||||
\(233\) | 3.23803 | + | 1.34124i | 0.212130 | + | 0.0878672i | 0.486218 | − | 0.873837i | \(-0.338376\pi\) |
−0.274088 | + | 0.961705i | \(0.588376\pi\) | |||||||
\(234\) | −10.2352 | − | 5.03546i | −0.669099 | − | 0.329179i | ||||
\(235\) | 24.0693 | + | 16.0826i | 1.57011 | + | 1.04911i | ||||
\(236\) | 0.329276 | + | 21.3845i | 0.0214340 | + | 1.39201i | ||||
\(237\) | −0.989966 | − | 0.903362i | −0.0643052 | − | 0.0586797i | ||||
\(238\) | 10.8509 | + | 34.8038i | 0.703358 | + | 2.25599i | ||||
\(239\) | 4.28592 | − | 15.9953i | 0.277233 | − | 1.03465i | −0.677097 | − | 0.735894i | \(-0.736762\pi\) |
0.954330 | − | 0.298754i | \(-0.0965711\pi\) | |||||||
\(240\) | −2.56382 | + | 21.2900i | −0.165494 | + | 1.37427i | ||||
\(241\) | −0.0210541 | − | 0.0785751i | −0.00135622 | − | 0.00506147i | 0.965244 | − | 0.261349i | \(-0.0841673\pi\) |
−0.966601 | + | 0.256287i | \(0.917501\pi\) | |||||||
\(242\) | 8.02283 | − | 5.07498i | 0.515727 | − | 0.326232i | ||||
\(243\) | 14.9148 | + | 4.53292i | 0.956788 | + | 0.290787i | ||||
\(244\) | −6.69750 | + | 9.01233i | −0.428764 | + | 0.576956i | ||||
\(245\) | −7.44431 | − | 15.0956i | −0.475600 | − | 0.964421i | ||||
\(246\) | −3.25387 | − | 8.97156i | −0.207459 | − | 0.572006i | ||||
\(247\) | −21.9593 | + | 2.89100i | −1.39724 | + | 0.183950i | ||||
\(248\) | −22.0671 | − | 13.0254i | −1.40126 | − | 0.827112i | ||||
\(249\) | 21.3349 | + | 3.23841i | 1.35204 | + | 0.205226i | ||||
\(250\) | −1.78724 | + | 0.431260i | −0.113035 | + | 0.0272753i | ||||
\(251\) | −10.8426 | + | 2.15673i | −0.684380 | + | 0.136132i | −0.525021 | − | 0.851089i | \(-0.675943\pi\) |
−0.159359 | + | 0.987221i | \(0.550943\pi\) | |||||||
\(252\) | −20.1955 | + | 6.31733i | −1.27220 | + | 0.397954i | ||||
\(253\) | −0.702236 | + | 0.469219i | −0.0441492 | + | 0.0294996i | ||||
\(254\) | 13.7205 | + | 5.04379i | 0.860901 | + | 0.316475i | ||||
\(255\) | −18.9190 | − | 34.3156i | −1.18475 | − | 2.14892i | ||||
\(256\) | −15.1706 | + | 5.08446i | −0.948165 | + | 0.317779i | ||||
\(257\) | −1.99045 | − | 3.44757i | −0.124161 | − | 0.215053i | 0.797244 | − | 0.603658i | \(-0.206291\pi\) |
−0.921405 | + | 0.388604i | \(0.872957\pi\) | |||||||
\(258\) | −20.5383 | + | 16.4455i | −1.27866 | + | 1.02385i | ||||
\(259\) | 1.12732 | + | 17.1996i | 0.0700482 | + | 1.06873i | ||||
\(260\) | −15.6759 | + | 5.59185i | −0.972177 | + | 0.346792i | ||||
\(261\) | −3.32027 | + | 8.64418i | −0.205520 | + | 0.535062i | ||||
\(262\) | 7.85300 | + | 8.25625i | 0.485160 | + | 0.510073i | ||||
\(263\) | −22.4227 | − | 2.95200i | −1.38264 | − | 0.182028i | −0.597760 | − | 0.801675i | \(-0.703943\pi\) |
−0.784881 | + | 0.619647i | \(0.787276\pi\) | |||||||
\(264\) | 0.297877 | − | 10.1393i | 0.0183330 | − | 0.624032i | ||||
\(265\) | 4.55400 | − | 0.599545i | 0.279750 | − | 0.0368298i | ||||
\(266\) | −25.8204 | + | 31.9608i | −1.58315 | + | 1.95965i | ||||
\(267\) | −0.00878505 | + | 0.0126020i | −0.000537636 | + | 0.000771228i | ||||
\(268\) | −1.11825 | − | 2.58634i | −0.0683082 | − | 0.157986i | ||||
\(269\) | 11.5675 | + | 2.30092i | 0.705285 | + | 0.140290i | 0.534686 | − | 0.845051i | \(-0.320430\pi\) |
0.170599 | + | 0.985341i | \(0.445430\pi\) | |||||||
\(270\) | 19.9077 | − | 11.0001i | 1.21154 | − | 0.669444i | ||||
\(271\) | 4.08090 | − | 4.08090i | 0.247897 | − | 0.247897i | −0.572210 | − | 0.820107i | \(-0.693914\pi\) |
0.820107 | + | 0.572210i | \(0.193914\pi\) | |||||||
\(272\) | 17.0761 | − | 23.7326i | 1.03539 | − | 1.43900i | ||||
\(273\) | −11.3816 | − | 11.8401i | −0.688849 | − | 0.716596i | ||||
\(274\) | 1.53526 | + | 4.92428i | 0.0927484 | + | 0.297487i | ||||
\(275\) | −8.97991 | + | 3.04827i | −0.541509 | + | 0.183817i | ||||
\(276\) | 0.00613698 | − | 1.41297i | 0.000369402 | − | 0.0850507i | ||||
\(277\) | −0.323381 | + | 0.159474i | −0.0194301 | + | 0.00958185i | −0.451978 | − | 0.892029i | \(-0.649281\pi\) |
0.432548 | + | 0.901611i | \(0.357615\pi\) | |||||||
\(278\) | 24.3680 | + | 10.8157i | 1.46150 | + | 0.648682i | ||||
\(279\) | 2.48123 | + | 27.0654i | 0.148547 | + | 1.62036i | ||||
\(280\) | −13.9215 | + | 27.5578i | −0.831970 | + | 1.64690i | ||||
\(281\) | −1.81932 | + | 13.8191i | −0.108532 | + | 0.824380i | 0.847434 | + | 0.530901i | \(0.178146\pi\) |
−0.955966 | + | 0.293479i | \(0.905187\pi\) | |||||||
\(282\) | 20.3327 | − | 10.5553i | 1.21079 | − | 0.628556i | ||||
\(283\) | 11.3094 | − | 9.91811i | 0.672276 | − | 0.589571i | −0.253640 | − | 0.967299i | \(-0.581628\pi\) |
0.925917 | + | 0.377728i | \(0.123295\pi\) | |||||||
\(284\) | 0.227771 | − | 0.706549i | 0.0135157 | − | 0.0419260i | ||||
\(285\) | 20.3110 | − | 39.2158i | 1.20312 | − | 2.32294i | ||||
\(286\) | 7.14592 | − | 3.30431i | 0.422547 | − | 0.195388i | ||||
\(287\) | − | 13.7405i | − | 0.811076i | ||||||
\(288\) | 13.7847 | + | 9.89860i | 0.812271 | + | 0.583281i | ||||
\(289\) | 36.4269i | 2.14276i | ||||||||
\(290\) | 5.67060 | + | 12.2633i | 0.332989 | + | 0.720124i | ||||
\(291\) | −12.3517 | + | 0.564990i | −0.724071 | + | 0.0331203i | ||||
\(292\) | 3.32574 | − | 1.70422i | 0.194624 | − | 0.0997321i | ||||
\(293\) | 14.5438 | − | 12.7546i | 0.849661 | − | 0.745132i | −0.119165 | − | 0.992874i | \(-0.538022\pi\) |
0.968826 | + | 0.247742i | \(0.0796885\pi\) | |||||||
\(294\) | −13.3069 | − | 0.596102i | −0.776074 | − | 0.0347654i | ||||
\(295\) | 4.32016 | − | 32.8149i | 0.251530 | − | 1.91056i | ||||
\(296\) | 10.4804 | − | 9.01397i | 0.609158 | − | 0.523926i | ||||
\(297\) | −8.90839 | + | 6.03301i | −0.516917 | + | 0.350071i | ||||
\(298\) | 4.90549 | − | 11.0522i | 0.284168 | − | 0.640237i | ||||
\(299\) | 0.983571 | − | 0.485044i | 0.0568814 | − | 0.0280508i | ||||
\(300\) | 4.17281 | − | 15.3069i | 0.240918 | − | 0.883745i | ||||
\(301\) | −35.8722 | + | 12.1770i | −2.06764 | + | 0.701868i | ||||
\(302\) | −11.1884 | + | 3.48826i | −0.643823 | + | 0.200727i | ||||
\(303\) | 2.35606 | − | 0.581713i | 0.135352 | − | 0.0334185i | ||||
\(304\) | 32.9321 | + | 1.14177i | 1.88879 | + | 0.0654851i | ||||
\(305\) | 12.2873 | − | 12.2873i | 0.703571 | − | 0.703571i | ||||
\(306\) | −31.0110 | + | 0.0292545i | −1.77278 | + | 0.00167237i | ||||
\(307\) | −16.4240 | − | 3.26694i | −0.937367 | − | 0.186454i | −0.297310 | − | 0.954781i | \(-0.596089\pi\) |
−0.640057 | + | 0.768327i | \(0.721089\pi\) | |||||||
\(308\) | 5.38061 | − | 13.5775i | 0.306589 | − | 0.773651i | ||||
\(309\) | −0.952923 | − | 0.0813763i | −0.0542099 | − | 0.00462933i | ||||
\(310\) | 30.8472 | + | 24.9207i | 1.75200 | + | 1.41540i | ||||
\(311\) | 25.1768 | − | 3.31459i | 1.42765 | − | 0.187953i | 0.623239 | − | 0.782032i | \(-0.285817\pi\) |
0.804407 | + | 0.594079i | \(0.202483\pi\) | |||||||
\(312\) | −2.10196 | + | 13.0027i | −0.119000 | + | 0.736132i | ||||
\(313\) | −9.84051 | − | 1.29553i | −0.556219 | − | 0.0732276i | −0.152824 | − | 0.988253i | \(-0.548837\pi\) |
−0.403395 | + | 0.915026i | \(0.632170\pi\) | |||||||
\(314\) | 9.43924 | − | 8.97822i | 0.532687 | − | 0.506670i | ||||
\(315\) | 32.3454 | − | 5.11605i | 1.82246 | − | 0.288257i | ||||
\(316\) | −0.662998 | + | 1.39829i | −0.0372965 | + | 0.0786602i | ||||
\(317\) | −0.795952 | − | 12.1439i | −0.0447051 | − | 0.682068i | −0.960126 | − | 0.279569i | \(-0.909808\pi\) |
0.915420 | − | 0.402499i | \(-0.131858\pi\) | |||||||
\(318\) | 1.32134 | − | 3.38646i | 0.0740971 | − | 0.189903i | ||||
\(319\) | −3.19556 | − | 5.53487i | −0.178917 | − | 0.309893i | ||||
\(320\) | 24.3740 | − | 4.36207i | 1.36255 | − | 0.243847i | ||||
\(321\) | 26.2747 | + | 0.518729i | 1.46651 | + | 0.0289526i | ||||
\(322\) | 0.701938 | − | 1.90946i | 0.0391175 | − | 0.106410i | ||||
\(323\) | −50.0665 | + | 33.4534i | −2.78577 | + | 1.86139i | ||||
\(324\) | −0.0339608 | − | 18.0000i | −0.00188671 | − | 0.999998i | ||||
\(325\) | 12.0772 | − | 2.40230i | 0.669922 | − | 0.133256i | ||||
\(326\) | 1.37046 | + | 5.67951i | 0.0759028 | + | 0.314559i | ||||
\(327\) | 11.3132 | + | 28.9139i | 0.625621 | + | 1.59894i | ||||
\(328\) | −8.80677 | + | 6.62392i | −0.486273 | + | 0.365745i | ||||
\(329\) | 32.7022 | − | 4.30533i | 1.80293 | − | 0.237361i | ||||
\(330\) | −2.74348 | + | 15.4566i | −0.151023 | + | 0.850856i | ||||
\(331\) | −2.52654 | − | 5.12332i | −0.138871 | − | 0.281603i | 0.816316 | − | 0.577606i | \(-0.196013\pi\) |
−0.955187 | + | 0.296003i | \(0.904346\pi\) | |||||||
\(332\) | −3.63236 | − | 24.6514i | −0.199352 | − | 1.35292i | ||||
\(333\) | −14.2562 | − | 3.42578i | −0.781236 | − | 0.187732i | ||||
\(334\) | 6.27007 | + | 9.91211i | 0.343083 | + | 0.542367i | ||||
\(335\) | 1.12862 | + | 4.21208i | 0.0616632 | + | 0.230130i | ||||
\(336\) | 13.7986 | + | 20.1649i | 0.752773 | + | 1.10008i | ||||
\(337\) | 0.917550 | − | 3.42434i | 0.0499822 | − | 0.186536i | −0.936421 | − | 0.350878i | \(-0.885883\pi\) |
0.986403 | + | 0.164342i | \(0.0525500\pi\) | |||||||
\(338\) | 7.79198 | − | 2.42933i | 0.423828 | − | 0.132138i | ||||
\(339\) | 23.6687 | − | 7.51678i | 1.28551 | − | 0.408255i | ||||
\(340\) | −31.4982 | + | 32.4834i | −1.70823 | + | 1.76166i | ||||
\(341\) | −15.5972 | − | 10.4217i | −0.844638 | − | 0.564369i | ||||
\(342\) | −19.4450 | − | 29.0422i | −1.05147 | − | 1.57042i | ||||
\(343\) | 5.08956 | + | 2.10816i | 0.274810 | + | 0.113830i | ||||
\(344\) | 25.0976 | + | 17.1216i | 1.35317 | + | 0.923133i | ||||
\(345\) | −0.328159 | + | 2.16193i | −0.0176675 | + | 0.116395i | ||||
\(346\) | 4.08519 | + | 7.50334i | 0.219621 | + | 0.403382i | ||||
\(347\) | −16.1856 | + | 14.1944i | −0.868886 | + | 0.761993i | −0.972568 | − | 0.232618i | \(-0.925271\pi\) |
0.103682 | + | 0.994610i | \(0.466938\pi\) | |||||||
\(348\) | 10.6664 | + | 0.745653i | 0.571779 | + | 0.0399712i | ||||
\(349\) | 1.39126 | − | 0.0911878i | 0.0744723 | − | 0.00488117i | −0.0281214 | − | 0.999605i | \(-0.508953\pi\) |
0.102594 | + | 0.994723i | \(0.467286\pi\) | |||||||
\(350\) | 13.1622 | − | 18.6697i | 0.703549 | − | 0.997939i | ||||
\(351\) | 12.4910 | − | 6.25692i | 0.666720 | − | 0.333970i | ||||
\(352\) | −11.2962 | + | 3.09672i | −0.602087 | + | 0.165056i | ||||
\(353\) | 5.70864 | + | 3.29588i | 0.303840 | + | 0.175422i | 0.644167 | − | 0.764885i | \(-0.277204\pi\) |
−0.340327 | + | 0.940307i | \(0.610538\pi\) | |||||||
\(354\) | −21.1062 | − | 15.5125i | −1.12178 | − | 0.824480i | ||||
\(355\) | −0.508124 | + | 1.03037i | −0.0269684 | + | 0.0546865i | ||||
\(356\) | 0.0168828 | + | 0.00544252i | 0.000894785 | + | 0.000288453i | ||||
\(357\) | −41.9883 | − | 15.1838i | −2.22226 | − | 0.803613i | ||||
\(358\) | −0.449551 | − | 0.274772i | −0.0237595 | − | 0.0145222i | ||||
\(359\) | 6.81975 | − | 2.82483i | 0.359933 | − | 0.149089i | −0.195386 | − | 0.980726i | \(-0.562596\pi\) |
0.555319 | + | 0.831637i | \(0.312596\pi\) | |||||||
\(360\) | −18.8719 | − | 18.2650i | −0.994635 | − | 0.962650i | ||||
\(361\) | −45.1448 | − | 18.6996i | −2.37604 | − | 0.984188i | ||||
\(362\) | 15.8064 | − | 11.5119i | 0.830764 | − | 0.605050i | ||||
\(363\) | −0.989285 | + | 11.5846i | −0.0519240 | + | 0.608034i | ||||
\(364\) | −9.22811 | + | 16.5675i | −0.483684 | + | 0.868373i | ||||
\(365\) | −5.47632 | + | 1.85896i | −0.286644 | + | 0.0973025i | ||||
\(366\) | −3.83325 | − | 13.2070i | −0.200367 | − | 0.690340i | ||||
\(367\) | −22.7175 | + | 6.08715i | −1.18585 | + | 0.317746i | −0.797243 | − | 0.603659i | \(-0.793709\pi\) |
−0.388603 | + | 0.921405i | \(0.627042\pi\) | |||||||
\(368\) | −1.56223 | + | 0.470603i | −0.0814368 | + | 0.0245319i | ||||
\(369\) | 11.1618 | + | 3.46839i | 0.581059 | + | 0.180557i | ||||
\(370\) | −18.0794 | + | 11.4364i | −0.939905 | + | 0.594552i | ||||
\(371\) | 3.45088 | − | 3.93497i | 0.179161 | − | 0.204294i | ||||
\(372\) | 29.0465 | − | 11.8839i | 1.50599 | − | 0.616152i | ||||
\(373\) | 29.2061 | + | 1.91427i | 1.51223 | + | 0.0991170i | 0.798796 | − | 0.601602i | \(-0.205471\pi\) |
0.713437 | + | 0.700719i | \(0.247137\pi\) | |||||||
\(374\) | 13.4505 | − | 16.6492i | 0.695509 | − | 0.860910i | ||||
\(375\) | 0.902599 | − | 2.06292i | 0.0466100 | − | 0.106529i | ||||
\(376\) | −18.5243 | − | 18.8845i | −0.955317 | − | 0.973896i | ||||
\(377\) | 3.17581 | + | 7.66709i | 0.163563 | + | 0.394875i | ||||
\(378\) | 8.79028 | − | 24.3799i | 0.452123 | − | 1.25397i | ||||
\(379\) | −34.7388 | + | 6.90997i | −1.78441 | + | 0.354941i | −0.973226 | − | 0.229850i | \(-0.926176\pi\) |
−0.811184 | + | 0.584791i | \(0.801176\pi\) | |||||||
\(380\) | −50.1630 | − | 9.17753i | −2.57331 | − | 0.470797i | ||||
\(381\) | −15.0797 | + | 9.65092i | −0.772557 | + | 0.494431i | ||||
\(382\) | −3.95541 | + | 3.29740i | −0.202376 | + | 0.168710i | ||||
\(383\) | −8.45656 | − | 14.6472i | −0.432110 | − | 0.748437i | 0.564945 | − | 0.825129i | \(-0.308897\pi\) |
−0.997055 | + | 0.0766921i | \(0.975564\pi\) | |||||||
\(384\) | 6.27248 | − | 18.5649i | 0.320091 | − | 0.947387i | ||||
\(385\) | −11.3010 | + | 19.5739i | −0.575953 | + | 0.997581i | ||||
\(386\) | −4.98825 | − | 28.8306i | −0.253895 | − | 1.46744i | ||||
\(387\) | −0.836775 | − | 32.2136i | −0.0425357 | − | 1.63751i | ||||
\(388\) | 4.79695 | + | 13.4475i | 0.243528 | + | 0.682693i | ||||
\(389\) | −0.924293 | + | 2.72288i | −0.0468635 | + | 0.138055i | −0.967843 | − | 0.251557i | \(-0.919058\pi\) |
0.920979 | + | 0.389612i | \(0.127391\pi\) | |||||||
\(390\) | 6.15158 | − | 19.4335i | 0.311497 | − | 0.984053i | ||||
\(391\) | 1.81498 | − | 2.36533i | 0.0917877 | − | 0.119620i | ||||
\(392\) | 3.83762 | + | 14.8945i | 0.193829 | + | 0.752283i | ||||
\(393\) | −13.8693 | + | 1.54809i | −0.699612 | + | 0.0780906i | ||||
\(394\) | 23.6052 | + | 3.71080i | 1.18921 | + | 0.186947i | ||||
\(395\) | 1.33053 | − | 1.99128i | 0.0669463 | − | 0.100192i | ||||
\(396\) | 9.67120 | + | 7.79807i | 0.485996 | + | 0.391868i | ||||
\(397\) | 28.9041 | + | 5.74938i | 1.45065 | + | 0.288553i | 0.856646 | − | 0.515905i | \(-0.172544\pi\) |
0.594009 | + | 0.804458i | \(0.297544\pi\) | |||||||
\(398\) | −0.509123 | − | 12.5880i | −0.0255201 | − | 0.630977i | ||||
\(399\) | −12.0623 | − | 48.8547i | −0.603868 | − | 2.44580i | ||||
\(400\) | −18.3112 | + | 0.564041i | −0.915561 | + | 0.0282021i | ||||
\(401\) | −2.09631 | + | 7.82355i | −0.104685 | + | 0.390689i | −0.998309 | − | 0.0581264i | \(-0.981487\pi\) |
0.893624 | + | 0.448816i | \(0.148154\pi\) | |||||||
\(402\) | 3.35118 | + | 0.824054i | 0.167142 | + | 0.0411001i | ||||
\(403\) | 18.3132 | + | 16.0603i | 0.912248 | + | 0.800020i | ||||
\(404\) | −1.43832 | − | 2.40495i | −0.0715590 | − | 0.119651i | ||||
\(405\) | −4.00876 | + | 27.5664i | −0.199197 | + | 1.36979i | ||||
\(406\) | 14.0711 | + | 6.24543i | 0.698338 | + | 0.309955i | ||||
\(407\) | 8.02844 | − | 6.16044i | 0.397955 | − | 0.305361i | ||||
\(408\) | 10.5096 | + | 34.2315i | 0.520300 | + | 1.69471i | ||||
\(409\) | 1.06321 | + | 0.815833i | 0.0525726 | + | 0.0403403i | 0.634713 | − | 0.772748i | \(-0.281118\pi\) |
−0.582141 | + | 0.813088i | \(0.697785\pi\) | |||||||
\(410\) | 14.9779 | − | 8.15472i | 0.739706 | − | 0.402733i | ||||
\(411\) | −5.94080 | − | 2.14831i | −0.293038 | − | 0.105968i | ||||
\(412\) | 0.232097 | + | 1.07968i | 0.0114346 | + | 0.0531920i | ||||
\(413\) | −20.9524 | − | 31.3575i | −1.03100 | − | 1.54300i | ||||
\(414\) | 1.37392 | + | 1.05219i | 0.0675247 | + | 0.0517124i | ||||
\(415\) | 38.5619i | 1.89293i | ||||||||
\(416\) | 15.0673 | − | 2.07211i | 0.738736 | − | 0.101594i | ||||
\(417\) | −28.5944 | + | 15.7648i | −1.40028 | + | 0.772005i | ||||
\(418\) | 24.0241 | + | 2.17956i | 1.17506 | + | 0.106606i | ||||
\(419\) | −11.0774 | + | 22.4628i | −0.541168 | + | 1.09738i | 0.438867 | + | 0.898552i | \(0.355380\pi\) |
−0.980035 | + | 0.198827i | \(0.936287\pi\) | |||||||
\(420\) | −16.5771 | − | 33.9863i | −0.808877 | − | 1.65836i | ||||
\(421\) | −5.55561 | − | 1.88588i | −0.270764 | − | 0.0919119i | 0.182755 | − | 0.983158i | \(-0.441498\pi\) |
−0.453519 | + | 0.891246i | \(0.649832\pi\) | |||||||
\(422\) | −20.6918 | − | 0.517954i | −1.00726 | − | 0.0252136i | ||||
\(423\) | −4.75740 | + | 27.6516i | −0.231313 | + | 1.34447i | ||||
\(424\) | −4.18564 | − | 0.314849i | −0.203273 | − | 0.0152904i | ||||
\(425\) | 26.5589 | − | 20.3793i | 1.28829 | − | 0.988543i | ||||
\(426\) | 0.520649 | + | 0.745360i | 0.0252255 | + | 0.0361128i | ||||
\(427\) | 1.29498 | − | 19.7576i | 0.0626686 | − | 0.956138i | ||||
\(428\) | −8.30430 | − | 29.1869i | −0.401403 | − | 1.41080i | ||||
\(429\) | −2.06742 | + | 9.41805i | −0.0998161 | + | 0.454708i | ||||
\(430\) | −34.5630 | − | 31.8759i | −1.66678 | − | 1.53719i | ||||
\(431\) | 7.34540 | + | 7.34540i | 0.353815 | + | 0.353815i | 0.861527 | − | 0.507712i | \(-0.169508\pi\) |
−0.507712 | + | 0.861527i | \(0.669508\pi\) | |||||||
\(432\) | −19.8635 | + | 6.11889i | −0.955684 | + | 0.294395i | ||||
\(433\) | 7.13331 | − | 7.13331i | 0.342805 | − | 0.342805i | −0.514616 | − | 0.857421i | \(-0.672065\pi\) |
0.857421 | + | 0.514616i | \(0.172065\pi\) | |||||||
\(434\) | 45.1487 | − | 1.82605i | 2.16721 | − | 0.0876534i | ||||
\(435\) | −16.1625 | − | 3.54795i | −0.774934 | − | 0.170111i | ||||
\(436\) | 28.1036 | − | 22.2604i | 1.34592 | − | 1.06608i | ||||
\(437\) | 3.35302 | + | 0.219768i | 0.160397 | + | 0.0105129i | ||||
\(438\) | −0.799865 | + | 4.50639i | −0.0382190 | + | 0.215324i | ||||
\(439\) | −4.96836 | − | 6.47490i | −0.237127 | − | 0.309030i | 0.659598 | − | 0.751619i | \(-0.270727\pi\) |
−0.896725 | + | 0.442589i | \(0.854060\pi\) | |||||||
\(440\) | 17.9935 | − | 2.19283i | 0.857809 | − | 0.104539i | ||||
\(441\) | 10.4344 | − | 12.5406i | 0.496875 | − | 0.597172i | ||||
\(442\) | −20.1377 | + | 19.1542i | −0.957854 | + | 0.911071i | ||||
\(443\) | 4.77909 | − | 14.0787i | 0.227061 | − | 0.668901i | −0.772370 | − | 0.635173i | \(-0.780929\pi\) |
0.999431 | − | 0.0337278i | \(-0.0107379\pi\) | |||||||
\(444\) | 1.03391 | + | 16.8987i | 0.0490671 | + | 0.801976i | ||||
\(445\) | −0.0246205 | − | 0.0121415i | −0.00116712 | − | 0.000575561i | ||||
\(446\) | −7.18526 | − | 8.61910i | −0.340232 | − | 0.408126i | ||||
\(447\) | 7.15017 | + | 12.9691i | 0.338192 | + | 0.613417i | ||||
\(448\) | 17.6035 | − | 22.0487i | 0.831687 | − | 1.04171i | ||||
\(449\) | 33.0277 | 1.55868 | 0.779338 | − | 0.626604i | \(-0.215556\pi\) | ||||
0.779338 | + | 0.626604i | \(0.215556\pi\) | |||||||
\(450\) | 11.8435 | + | 15.4046i | 0.558308 | + | 0.726181i | ||||
\(451\) | −6.70757 | + | 4.48185i | −0.315847 | + | 0.211042i | ||||
\(452\) | −16.2964 | − | 23.5946i | −0.766517 | − | 1.10980i | ||||
\(453\) | 4.88118 | − | 13.4981i | 0.229338 | − | 0.634195i | ||||
\(454\) | 0.232766 | + | 0.0686567i | 0.0109243 | + | 0.00322222i | ||||
\(455\) | 17.8662 | − | 23.2837i | 0.837582 | − | 1.09156i | ||||
\(456\) | −25.4978 | + | 31.2826i | −1.19405 | + | 1.46494i | ||||
\(457\) | 12.6018 | + | 16.4230i | 0.589488 | + | 0.768235i | 0.988907 | − | 0.148533i | \(-0.0474551\pi\) |
−0.399420 | + | 0.916768i | \(0.630788\pi\) | |||||||
\(458\) | −10.2979 | + | 3.96662i | −0.481189 | + | 0.185348i | ||||
\(459\) | 22.9330 | − | 30.2755i | 1.07042 | − | 1.41314i | ||||
\(460\) | 2.49801 | − | 0.368079i | 0.116470 | − | 0.0171618i | ||||
\(461\) | 6.26836 | − | 7.14770i | 0.291947 | − | 0.332902i | −0.587210 | − | 0.809435i | \(-0.699774\pi\) |
0.879156 | + | 0.476533i | \(0.158107\pi\) | |||||||
\(462\) | 9.26204 | + | 15.3024i | 0.430909 | + | 0.711934i | ||||
\(463\) | −29.6374 | − | 7.94132i | −1.37737 | − | 0.369065i | −0.507203 | − | 0.861826i | \(-0.669321\pi\) |
−0.870164 | + | 0.492762i | \(0.835987\pi\) | |||||||
\(464\) | −2.78038 | − | 12.0294i | −0.129076 | − | 0.558452i | ||||
\(465\) | −47.1524 | + | 11.6420i | −2.18664 | + | 0.539883i | ||||
\(466\) | 3.64359 | + | 3.36032i | 0.168786 | + | 0.155664i | ||||
\(467\) | −5.80662 | + | 29.1919i | −0.268698 | + | 1.35084i | 0.576811 | + | 0.816877i | \(0.304297\pi\) |
−0.845510 | + | 0.533960i | \(0.820703\pi\) | |||||||
\(468\) | −11.1288 | − | 11.6782i | −0.514431 | − | 0.539826i | ||||
\(469\) | 4.13135 | + | 2.76048i | 0.190768 | + | 0.127467i | ||||
\(470\) | 24.1012 | + | 33.0921i | 1.11171 | + | 1.52643i | ||||
\(471\) | 1.76990 | + | 15.8565i | 0.0815528 | + | 0.730630i | ||||
\(472\) | −9.99756 | + | 28.5457i | −0.460175 | + | 1.31392i | ||||
\(473\) | 17.6450 | + | 13.5395i | 0.811320 | + | 0.622547i | ||||
\(474\) | −0.873250 | − | 1.68215i | −0.0401097 | − | 0.0772637i | ||||
\(475\) | 35.7274 | + | 12.1278i | 1.63929 | + | 0.556463i | ||||
\(476\) | −2.57950 | + | 51.4921i | −0.118231 | + | 2.36014i | ||||
\(477\) | 2.32541 | + | 3.79651i | 0.106473 | + | 0.173830i | ||||
\(478\) | 13.4939 | − | 19.1403i | 0.617198 | − | 0.875455i | ||||
\(479\) | −8.80784 | − | 5.08521i | −0.402441 | − | 0.232349i | 0.285096 | − | 0.958499i | \(-0.407975\pi\) |
−0.687537 | + | 0.726150i | \(0.741308\pi\) | |||||||
\(480\) | −13.7917 | + | 27.0087i | −0.629500 | + | 1.23277i | ||||
\(481\) | −11.3798 | + | 6.57011i | −0.518872 | + | 0.299571i | ||||
\(482\) | 0.0103944 | − | 0.114571i | 0.000473452 | − | 0.00521858i | ||||
\(483\) | 1.34311 | + | 2.09862i | 0.0611134 | + | 0.0954907i | ||||
\(484\) | 13.1256 | − | 2.82159i | 0.596618 | − | 0.128254i | ||||
\(485\) | −4.31061 | − | 21.6709i | −0.195735 | − | 0.984025i | ||||
\(486\) | 17.5856 | + | 13.2946i | 0.797700 | + | 0.603055i | ||||
\(487\) | −13.2782 | + | 5.50001i | −0.601693 | + | 0.249229i | −0.662672 | − | 0.748910i | \(-0.730578\pi\) |
0.0609794 | + | 0.998139i | \(0.480578\pi\) | |||||||
\(488\) | −13.2876 | + | 8.69460i | −0.601503 | + | 0.393586i | ||||
\(489\) | −6.55557 | − | 2.86828i | −0.296453 | − | 0.129708i | ||||
\(490\) | −2.51540 | − | 23.6698i | −0.113634 | − | 1.06929i | ||||
\(491\) | 1.85078 | − | 28.2374i | 0.0835245 | − | 1.27434i | −0.726182 | − | 0.687503i | \(-0.758707\pi\) |
0.809706 | − | 0.586835i | \(-0.199626\pi\) | |||||||
\(492\) | 0.0586187 | − | 13.4963i | 0.00264274 | − | 0.608460i | ||||
\(493\) | 16.9626 | + | 14.8758i | 0.763955 | + | 0.669971i | ||||
\(494\) | −30.5587 | − | 6.87769i | −1.37490 | − | 0.309442i | ||||
\(495\) | −13.0478 | − | 14.1210i | −0.586456 | − | 0.634692i | ||||
\(496\) | −22.9353 | − | 28.0571i | −1.02983 | − | 1.25980i | ||||
\(497\) | 0.338807 | + | 1.26445i | 0.0151976 | + | 0.0567181i | ||||
\(498\) | 26.7390 | + | 14.7090i | 1.19820 | + | 0.659125i | ||||
\(499\) | 4.56594 | + | 13.4508i | 0.204399 | + | 0.602141i | 0.999993 | − | 0.00368913i | \(-0.00117429\pi\) |
−0.795594 | + | 0.605830i | \(0.792841\pi\) | |||||||
\(500\) | −2.58276 | − | 0.299651i | −0.115505 | − | 0.0134008i | ||||
\(501\) | −14.3126 | − | 1.22225i | −0.639442 | − | 0.0546061i | ||||
\(502\) | −15.4445 | − | 2.42791i | −0.689322 | − | 0.108363i | ||||
\(503\) | −5.31218 | + | 12.8247i | −0.236859 | + | 0.571827i | −0.996955 | − | 0.0779835i | \(-0.975152\pi\) |
0.760096 | + | 0.649811i | \(0.225152\pi\) | |||||||
\(504\) | −29.8894 | − | 1.46904i | −1.33138 | − | 0.0654364i | ||||
\(505\) | 1.65958 | + | 4.00657i | 0.0738502 | + | 0.178290i | ||||
\(506\) | −1.16108 | + | 0.280168i | −0.0516164 | + | 0.0124550i | ||||
\(507\) | −3.39940 | + | 9.40047i | −0.150973 | + | 0.417490i | ||||
\(508\) | 15.7510 | + | 13.3899i | 0.698838 | + | 0.594081i | ||||
\(509\) | −39.1581 | − | 19.3106i | −1.73565 | − | 0.855929i | −0.979476 | − | 0.201560i | \(-0.935399\pi\) |
−0.756176 | − | 0.654369i | \(-0.772934\pi\) | |||||||
\(510\) | −8.36804 | − | 54.7809i | −0.370543 | − | 2.42574i | ||||
\(511\) | −3.29483 | + | 5.70682i | −0.145755 | + | 0.252455i | ||||
\(512\) | −22.6180 | − | 0.653611i | −0.999583 | − | 0.0288858i | ||||
\(513\) | 42.7308 | + | 2.53347i | 1.88661 | + | 0.111856i | ||||
\(514\) | −0.959812 | − | 5.54743i | −0.0423355 | − | 0.244687i | ||||
\(515\) | −0.111778 | − | 1.70540i | −0.00492552 | − | 0.0751489i | ||||
\(516\) | −35.2866 | + | 11.8075i | −1.55340 | + | 0.519796i | ||||
\(517\) | −12.7685 | − | 14.5596i | −0.561556 | − | 0.640332i | ||||
\(518\) | −6.89621 | + | 23.3802i | −0.303002 | + | 1.02727i | ||||
\(519\) | −10.3449 | − | 1.57025i | −0.454092 | − | 0.0689265i | ||||
\(520\) | −23.5362 | − | 0.226659i | −1.03213 | − | 0.00993966i | ||||
\(521\) | 2.92525 | − | 7.06218i | 0.128158 | − | 0.309400i | −0.846757 | − | 0.531980i | \(-0.821448\pi\) |
0.974914 | + | 0.222581i | \(0.0714480\pi\) | |||||||
\(522\) | −8.62518 | + | 9.85386i | −0.377514 | + | 0.431292i | ||||
\(523\) | 21.0120 | − | 31.4468i | 0.918793 | − | 1.37507i | −0.00819002 | − | 0.999966i | \(-0.502607\pi\) |
0.926983 | − | 0.375104i | \(-0.122393\pi\) | |||||||
\(524\) | 6.39516 | + | 14.7910i | 0.279374 | + | 0.646146i | ||||
\(525\) | 8.46818 | + | 26.6644i | 0.369582 | + | 1.16373i | ||||
\(526\) | −28.3227 | − | 14.8596i | −1.23493 | − | 0.647909i | ||||
\(527\) | 63.9638 | + | 17.1391i | 2.78631 | + | 0.746589i | ||||
\(528\) | 5.34291 | − | 13.3133i | 0.232520 | − | 0.579385i | ||||
\(529\) | 22.0556 | − | 5.90978i | 0.958939 | − | 0.256947i | ||||
\(530\) | 6.33737 | + | 1.42632i | 0.275278 | + | 0.0619554i | ||||
\(531\) | 30.7614 | − | 9.10491i | 1.33493 | − | 0.395119i | ||||
\(532\) | −49.8685 | + | 29.8246i | −2.16208 | + | 1.29306i | ||||
\(533\) | 9.39481 | − | 4.63301i | 0.406934 | − | 0.200678i | ||||
\(534\) | −0.0178102 | + | 0.0124407i | −0.000770721 | + | 0.000538364i | ||||
\(535\) | 6.12973 | + | 46.5600i | 0.265012 | + | 2.01296i | ||||
\(536\) | −0.222320 | − | 3.97867i | −0.00960277 | − | 0.171853i | ||||
\(537\) | 0.600924 | − | 0.235124i | 0.0259318 | − | 0.0101464i | ||||
\(538\) | 14.2316 | + | 8.69858i | 0.613568 | + | 0.375022i | ||||
\(539\) | 2.19666 | + | 11.0434i | 0.0946169 | + | 0.475671i | ||||
\(540\) | 31.7923 | − | 4.88713i | 1.36812 | − | 0.210309i | ||||
\(541\) | −14.2970 | − | 21.3969i | −0.614674 | − | 0.919925i | 0.385322 | − | 0.922782i | \(-0.374091\pi\) |
−0.999996 | + | 0.00285713i | \(0.999091\pi\) | |||||||
\(542\) | 7.40814 | − | 3.42557i | 0.318207 | − | 0.147141i | ||||
\(543\) | −0.472718 | + | 23.9442i | −0.0202863 | + | 1.02754i | ||||
\(544\) | 34.2466 | − | 23.1696i | 1.46831 | − | 0.993389i | ||||
\(545\) | −48.0498 | + | 27.7416i | −2.05823 | + | 1.18832i | ||||
\(546\) | −9.33020 | − | 21.2699i | −0.399296 | − | 0.910266i | ||||
\(547\) | −18.0449 | + | 1.18272i | −0.771543 | + | 0.0505696i | −0.446089 | − | 0.894988i | \(-0.647184\pi\) |
−0.325454 | + | 0.945558i | \(0.605517\pi\) | |||||||
\(548\) | −0.364965 | + | 7.28546i | −0.0155905 | + | 0.311219i | ||||
\(549\) | 15.7228 | + | 6.03919i | 0.671031 | + | 0.257746i | ||||
\(550\) | −13.4070 | − | 0.335603i | −0.571678 | − | 0.0143101i | ||||
\(551\) | −3.31898 | + | 25.2102i | −0.141393 | + | 1.07399i | ||||
\(552\) | 0.697608 | − | 1.87253i | 0.0296922 | − | 0.0797003i | ||||
\(553\) | −0.356186 | − | 2.70550i | −0.0151466 | − | 0.115050i | ||||
\(554\) | −0.507060 | + | 0.0538855i | −0.0215429 | + | 0.00228938i | ||||
\(555\) | 2.22935 | − | 26.1059i | 0.0946307 | − | 1.10813i | ||||
\(556\) | 27.0678 | + | 26.2468i | 1.14793 | + | 1.11311i | ||||
\(557\) | −5.59537 | + | 28.1298i | −0.237084 | + | 1.19190i | 0.660421 | + | 0.750895i | \(0.270378\pi\) |
−0.897505 | + | 0.441004i | \(0.854622\pi\) | |||||||
\(558\) | −9.91314 | + | 37.1364i | −0.419657 | + | 1.57211i | ||||
\(559\) | −20.4211 | − | 20.4211i | −0.863721 | − | 0.863721i | ||||
\(560\) | −31.9259 | + | 29.7863i | −1.34912 | + | 1.25870i | ||||
\(561\) | 6.28354 | + | 25.4497i | 0.265291 | + | 1.07449i | ||||
\(562\) | −9.15799 | + | 17.4553i | −0.386306 | + | 0.736307i | ||||
\(563\) | 1.08974 | + | 3.21027i | 0.0459270 | + | 0.135297i | 0.967474 | − | 0.252970i | \(-0.0814073\pi\) |
−0.921547 | + | 0.388266i | \(0.873074\pi\) | |||||||
\(564\) | 32.1394 | − | 4.08930i | 1.35331 | − | 0.172191i | ||||
\(565\) | 19.6276 | + | 39.8008i | 0.825739 | + | 1.67443i | ||||
\(566\) | 19.8513 | − | 7.64650i | 0.834414 | − | 0.321406i | ||||
\(567\) | 17.2761 | + | 26.6273i | 0.725527 | + | 1.11824i | ||||
\(568\) | 0.647098 | − | 0.826708i | 0.0271516 | − | 0.0346879i | ||||
\(569\) | 25.1005 | + | 3.30455i | 1.05227 | + | 0.138534i | 0.636766 | − | 0.771057i | \(-0.280272\pi\) |
0.415504 | + | 0.909591i | \(0.363605\pi\) | |||||||
\(570\) | 46.0957 | − | 42.1429i | 1.93073 | − | 1.76517i | ||||
\(571\) | −20.0952 | − | 22.9142i | −0.840957 | − | 0.958927i | 0.158640 | − | 0.987337i | \(-0.449289\pi\) |
−0.999596 | + | 0.0284091i | \(0.990956\pi\) | |||||||
\(572\) | 11.0976 | − | 0.899162i | 0.464014 | − | 0.0375959i | ||||
\(573\) | −0.288188 | − | 6.30033i | −0.0120392 | − | 0.263200i | ||||
\(574\) | 6.70472 | − | 18.2387i | 0.279850 | − | 0.761268i | ||||
\(575\) | −1.86814 | −0.0779067 | ||||||||
\(576\) | 13.4673 | + | 19.8654i | 0.561137 | + | 0.827723i | ||||
\(577\) | −6.33431 | −0.263701 | −0.131850 | − | 0.991270i | \(-0.542092\pi\) | ||||
−0.131850 | + | 0.991270i | \(0.542092\pi\) | |||||||
\(578\) | −17.7746 | + | 48.3518i | −0.739326 | + | 2.01117i | ||||
\(579\) | 31.8201 | + | 16.4806i | 1.32240 | + | 0.684911i | ||||
\(580\) | 1.54307 | + | 19.0448i | 0.0640726 | + | 0.790794i | ||||
\(581\) | 28.9710 | + | 33.0351i | 1.20192 | + | 1.37053i | ||||
\(582\) | −16.6710 | − | 5.27711i | −0.691034 | − | 0.218743i | ||||
\(583\) | −3.04650 | − | 0.401079i | −0.126173 | − | 0.0166110i | ||||
\(584\) | 5.24605 | − | 0.639325i | 0.217083 | − | 0.0264554i | ||||
\(585\) | 14.4042 | + | 20.3905i | 0.595540 | + | 0.843045i | ||||
\(586\) | 25.5287 | − | 9.83334i | 1.05458 | − | 0.406211i | ||||
\(587\) | 14.3786 | + | 29.1569i | 0.593468 | + | 1.20343i | 0.961803 | + | 0.273741i | \(0.0882612\pi\) |
−0.368335 | + | 0.929693i | \(0.620072\pi\) | |||||||
\(588\) | −17.3723 | − | 7.28439i | −0.716420 | − | 0.300403i | ||||
\(589\) | 23.9900 | + | 70.6723i | 0.988492 | + | 2.91200i | ||||
\(590\) | 21.7466 | − | 41.4494i | 0.895292 | − | 1.70644i | ||||
\(591\) | −21.0982 | + | 20.2813i | −0.867865 | + | 0.834260i | ||||
\(592\) | 18.3097 | − | 6.85092i | 0.752523 | − | 0.281571i | ||||
\(593\) | −14.5904 | − | 14.5904i | −0.599157 | − | 0.599157i | 0.340931 | − | 0.940088i | \(-0.389258\pi\) |
−0.940088 | + | 0.340931i | \(0.889258\pi\) | |||||||
\(594\) | −14.7685 | + | 3.66114i | −0.605960 | + | 0.150218i | ||||
\(595\) | 15.5658 | − | 78.2548i | 0.638137 | − | 3.20813i | ||||
\(596\) | 11.9043 | − | 12.2767i | 0.487621 | − | 0.502872i | ||||
\(597\) | 12.6576 | + | 8.82381i | 0.518040 | + | 0.361135i | ||||
\(598\) | 1.54224 | − | 0.163894i | 0.0630668 | − | 0.00670214i | ||||
\(599\) | 0.744465 | + | 5.65478i | 0.0304180 | + | 0.231048i | 0.999900 | − | 0.0141132i | \(-0.00449251\pi\) |
−0.969482 | + | 0.245161i | \(0.921159\pi\) | |||||||
\(600\) | 13.0079 | − | 18.2817i | 0.531046 | − | 0.746349i | ||||
\(601\) | −2.52986 | + | 19.2162i | −0.103195 | + | 0.783844i | 0.859095 | + | 0.511817i | \(0.171027\pi\) |
−0.962290 | + | 0.272027i | \(0.912306\pi\) | |||||||
\(602\) | −53.5573 | − | 1.34064i | −2.18283 | − | 0.0546403i | ||||
\(603\) | −3.28525 | + | 2.65920i | −0.133786 | + | 0.108291i | ||||
\(604\) | −16.5533 | − | 0.829237i | −0.673543 | − | 0.0337412i | ||||
\(605\) | −20.7324 | + | 1.35887i | −0.842893 | + | 0.0552461i | ||||
\(606\) | 3.41120 | + | 0.377500i | 0.138571 | + | 0.0153349i | ||||
\(607\) | −15.8808 | + | 9.16879i | −0.644582 | + | 0.372150i | −0.786377 | − | 0.617746i | \(-0.788046\pi\) |
0.141795 | + | 0.989896i | \(0.454712\pi\) | |||||||
\(608\) | 43.1559 | + | 17.5849i | 1.75020 | + | 0.713161i | ||||
\(609\) | −16.5116 | + | 9.10324i | −0.669085 | + | 0.368882i | ||||
\(610\) | 22.3055 | − | 10.3142i | 0.903122 | − | 0.417608i | ||||
\(611\) | 13.9702 | + | 20.9079i | 0.565173 | + | 0.845842i | ||||
\(612\) | −41.1773 | − | 15.0931i | −1.66449 | − | 0.610102i | ||||
\(613\) | 5.11393 | + | 25.7095i | 0.206550 | + | 1.03840i | 0.935365 | + | 0.353685i | \(0.115072\pi\) |
−0.728815 | + | 0.684711i | \(0.759928\pi\) | |||||||
\(614\) | −20.2066 | − | 12.3506i | −0.815470 | − | 0.498428i | ||||
\(615\) | −3.13449 | + | 20.6502i | −0.126395 | + | 0.832697i | ||||
\(616\) | 13.7672 | − | 15.3969i | 0.554698 | − | 0.620357i | ||||
\(617\) | 0.256074 | + | 1.94507i | 0.0103091 | + | 0.0783057i | 0.995826 | − | 0.0912715i | \(-0.0290931\pi\) |
−0.985517 | + | 0.169577i | \(0.945760\pi\) | |||||||
\(618\) | −1.22517 | − | 0.572998i | −0.0492836 | − | 0.0230493i | ||||
\(619\) | −2.30153 | + | 1.13499i | −0.0925065 | + | 0.0456191i | −0.487953 | − | 0.872870i | \(-0.662256\pi\) |
0.395447 | + | 0.918489i | \(0.370590\pi\) | |||||||
\(620\) | 28.7854 | + | 48.1309i | 1.15605 | + | 1.93298i | ||||
\(621\) | −2.04380 | + | 0.561304i | −0.0820147 | + | 0.0225243i | ||||
\(622\) | 35.0362 | + | 7.88542i | 1.40482 | + | 0.316176i | ||||
\(623\) | −0.0302136 | + | 0.00809570i | −0.00121048 | + | 0.000324347i | ||||
\(624\) | −9.13477 | + | 16.2337i | −0.365684 | + | 0.649867i | ||||
\(625\) | 26.0063 | + | 6.96837i | 1.04025 | + | 0.278735i | ||||
\(626\) | −12.4298 | − | 6.52135i | −0.496795 | − | 0.260646i | ||||
\(627\) | −19.9145 | + | 21.8237i | −0.795308 | + | 0.871554i | ||||
\(628\) | 16.9103 | − | 7.31148i | 0.674794 | − | 0.291760i | ||||
\(629\) | −19.8469 | + | 29.7030i | −0.791347 | + | 1.18433i | ||||
\(630\) | 45.4306 | + | 8.99216i | 1.81000 | + | 0.358256i | ||||
\(631\) | −8.36937 | + | 20.2055i | −0.333179 | + | 0.804366i | 0.665157 | + | 0.746704i | \(0.268365\pi\) |
−0.998336 | + | 0.0576626i | \(0.981635\pi\) | |||||||
\(632\) | −1.56234 | + | 1.53254i | −0.0621467 | + | 0.0609611i | ||||
\(633\) | 15.8262 | − | 19.8031i | 0.629033 | − | 0.787102i | ||||
\(634\) | 4.86912 | − | 16.5078i | 0.193378 | − | 0.655607i | ||||
\(635\) | −21.0948 | − | 24.0540i | −0.837120 | − | 0.954552i | ||||
\(636\) | 3.40633 | − | 3.85032i | 0.135070 | − | 0.152675i | ||||
\(637\) | −0.956234 | − | 14.5893i | −0.0378874 | − | 0.578050i | ||||
\(638\) | −1.54092 | − | 8.90609i | −0.0610057 | − | 0.352595i | ||||
\(639\) | −1.11266 | − | 0.0439507i | −0.0440163 | − | 0.00173866i | ||||
\(640\) | 34.4817 | + | 6.10328i | 1.36301 | + | 0.241253i | ||||
\(641\) | 15.3421 | − | 26.5733i | 0.605976 | − | 1.04958i | −0.385921 | − | 0.922532i | \(-0.626116\pi\) |
0.991896 | − | 0.127049i | \(-0.0405505\pi\) | |||||||
\(642\) | 34.6230 | + | 13.5094i | 1.36646 | + | 0.533172i | ||||
\(643\) | −30.8497 | − | 15.2134i | −1.21659 | − | 0.599958i | −0.283287 | − | 0.959035i | \(-0.591425\pi\) |
−0.933308 | + | 0.359077i | \(0.883092\pi\) | |||||||
\(644\) | 1.86346 | − | 2.19205i | 0.0734305 | − | 0.0863787i | ||||
\(645\) | 56.6891 | − | 10.1172i | 2.23213 | − | 0.398366i | ||||
\(646\) | −82.7803 | + | 19.9748i | −3.25695 | + | 0.785897i | ||||
\(647\) | 3.51297 | + | 8.48106i | 0.138109 | + | 0.333425i | 0.977768 | − | 0.209689i | \(-0.0672451\pi\) |
−0.839659 | + | 0.543114i | \(0.817245\pi\) | |||||||
\(648\) | 8.73806 | − | 23.9091i | 0.343263 | − | 0.939239i | ||||
\(649\) | −8.47327 | + | 20.4563i | −0.332605 | + | 0.802979i | ||||
\(650\) | 17.2031 | + | 2.70436i | 0.674760 | + | 0.106074i | ||||
\(651\) | −31.6480 | + | 45.3984i | −1.24038 | + | 1.77930i | ||||
\(652\) | −0.952231 | + | 8.20752i | −0.0372923 | + | 0.321431i | ||||
\(653\) | −10.6429 | − | 31.3529i | −0.416487 | − | 1.22693i | −0.929587 | − | 0.368603i | \(-0.879836\pi\) |
0.513100 | − | 0.858329i | \(-0.328497\pi\) | |||||||
\(654\) | 0.908120 | + | 43.8997i | 0.0355103 | + | 1.71661i | ||||
\(655\) | −6.45446 | − | 24.0884i | −0.252197 | − | 0.941210i | ||||
\(656\) | −14.9220 | + | 4.49507i | −0.582605 | + | 0.175503i | ||||
\(657\) | −3.80412 | − | 4.11700i | −0.148413 | − | 0.160620i | ||||
\(658\) | 45.5086 | + | 10.2424i | 1.77411 | + | 0.399290i | ||||
\(659\) | −16.2491 | − | 14.2501i | −0.632975 | − | 0.555104i | 0.281594 | − | 0.959534i | \(-0.409137\pi\) |
−0.914569 | + | 0.404430i | \(0.867470\pi\) | |||||||
\(660\) | −11.1837 | + | 19.1778i | −0.435324 | + | 0.746497i | ||||
\(661\) | −0.730838 | + | 11.1504i | −0.0284263 | + | 0.433702i | 0.959798 | + | 0.280691i | \(0.0905636\pi\) |
−0.988225 | + | 0.153011i | \(0.951103\pi\) | |||||||
\(662\) | −0.853708 | − | 8.03335i | −0.0331803 | − | 0.312225i | ||||
\(663\) | −3.77592 | − | 33.8284i | −0.146644 | − | 1.31378i | ||||
\(664\) | 7.20725 | − | 34.4939i | 0.279695 | − | 1.33862i | ||||
\(665\) | 83.0793 | − | 34.4126i | 3.22168 | − | 1.33446i | ||||
\(666\) | −17.2516 | − | 11.5036i | −0.668486 | − | 0.445757i | ||||
\(667\) | −0.245622 | − | 1.23483i | −0.00951053 | − | 0.0478127i | ||||
\(668\) | 3.48604 | + | 16.2165i | 0.134879 | + | 0.627435i | ||||
\(669\) | 13.7288 | − | 0.627981i | 0.530787 | − | 0.0242792i | ||||
\(670\) | −0.557199 | + | 6.14169i | −0.0215265 | + | 0.237274i | ||||
\(671\) | −10.0673 | + | 5.81235i | −0.388643 | + | 0.224383i | ||||
\(672\) | 8.47623 | + | 33.4992i | 0.326978 | + | 1.29226i | ||||
\(673\) | −34.3846 | − | 19.8520i | −1.32543 | − | 0.765238i | −0.340841 | − | 0.940121i | \(-0.610712\pi\) |
−0.984589 | + | 0.174883i | \(0.944045\pi\) | |||||||
\(674\) | 2.88884 | − | 4.09764i | 0.111274 | − | 0.157835i | ||||
\(675\) | −23.7978 | + | 0.148262i | −0.915977 | + | 0.00570662i | ||||
\(676\) | 11.5282 | + | 0.577506i | 0.443393 | + | 0.0222118i | ||||
\(677\) | −9.11394 | − | 3.09377i | −0.350277 | − | 0.118903i | 0.140755 | − | 0.990044i | \(-0.455047\pi\) |
−0.491032 | + | 0.871141i | \(0.663380\pi\) | |||||||
\(678\) | 35.0848 | + | 1.57168i | 1.34742 | + | 0.0603599i | ||||
\(679\) | −19.9739 | − | 15.3265i | −0.766527 | − | 0.588177i | ||||
\(680\) | −57.6601 | + | 27.7478i | −2.21116 | + | 1.06408i | ||||
\(681\) | −0.239328 | + | 0.176248i | −0.00917105 | + | 0.00675382i | ||||
\(682\) | −15.6179 | − | 21.4442i | −0.598042 | − | 0.821141i | ||||
\(683\) | −12.5723 | − | 8.40057i | −0.481067 | − | 0.321439i | 0.291282 | − | 0.956637i | \(-0.405918\pi\) |
−0.772349 | + | 0.635198i | \(0.780918\pi\) | |||||||
\(684\) | −11.6395 | − | 48.0379i | −0.445046 | − | 1.83677i | ||||
\(685\) | 2.20236 | − | 11.0720i | 0.0841480 | − | 0.423041i | ||||
\(686\) | 5.72702 | + | 5.28177i | 0.218659 | + | 0.201659i | ||||
\(687\) | 3.75510 | − | 12.9835i | 0.143266 | − | 0.495350i | ||||
\(688\) | 24.9592 | + | 34.9731i | 0.951562 | + | 1.33334i | ||||
\(689\) | 3.85403 | + | 1.03268i | 0.146827 | + | 0.0393421i | ||||
\(690\) | −1.49051 | + | 2.70955i | −0.0567427 | + | 0.103151i | ||||
\(691\) | −13.0316 | + | 14.8597i | −0.495747 | + | 0.565291i | −0.944562 | − | 0.328334i | \(-0.893513\pi\) |
0.448815 | + | 0.893625i | \(0.351846\pi\) | |||||||
\(692\) | 1.76127 | + | 11.9531i | 0.0669536 | + | 0.454387i | ||||
\(693\) | −21.7867 | − | 2.29450i | −0.827609 | − | 0.0871609i | ||||
\(694\) | −28.4103 | + | 10.9433i | −1.07844 | + | 0.415403i | ||||
\(695\) | −35.5207 | − | 46.2915i | −1.34738 | − | 1.75594i | ||||
\(696\) | 13.7944 | + | 6.19446i | 0.522875 | + | 0.234800i | ||||
\(697\) | 17.3362 | − | 22.5930i | 0.656657 | − | 0.855772i | ||||
\(698\) | 1.89120 | + | 0.557828i | 0.0715831 | + | 0.0211141i | ||||
\(699\) | −5.97609 | + | 1.06655i | −0.226037 | + | 0.0403405i | ||||
\(700\) | 26.5810 | − | 18.3590i | 1.00467 | − | 0.693906i | ||||
\(701\) | 6.50195 | − | 4.34446i | 0.245575 | − | 0.164088i | −0.426691 | − | 0.904397i | \(-0.640321\pi\) |
0.672267 | + | 0.740309i | \(0.265321\pi\) | |||||||
\(702\) | 19.6332 | − | 2.21021i | 0.741008 | − | 0.0834190i | ||||
\(703\) | −40.2619 | −1.51851 | ||||||||
\(704\) | −16.5052 | − | 1.40150i | −0.622063 | − | 0.0528212i | ||||
\(705\) | −50.1294 | − | 0.989680i | −1.88798 | − | 0.0372735i | ||||
\(706\) | 5.96922 | + | 7.16039i | 0.224655 | + | 0.269485i | ||||
\(707\) | 4.43181 | + | 2.18553i | 0.166675 | + | 0.0821951i | ||||
\(708\) | −20.4463 | − | 30.8896i | −0.768417 | − | 1.16090i | ||||
\(709\) | 5.29802 | − | 15.6075i | 0.198971 | − | 0.586150i | −0.800950 | − | 0.598732i | \(-0.795672\pi\) |
0.999921 | + | 0.0125813i | \(0.00400487\pi\) | |||||||
\(710\) | −1.17724 | + | 1.11974i | −0.0441810 | + | 0.0420232i | ||||
\(711\) | 2.28766 | + | 0.393586i | 0.0857939 | + | 0.0147606i | ||||
\(712\) | 0.0197539 | + | 0.0154622i | 0.000740310 | + | 0.000579471i | ||||
\(713\) | −2.24959 | − | 2.93173i | −0.0842479 | − | 0.109794i | ||||
\(714\) | −48.3249 | − | 40.6428i | −1.80851 | − | 1.52102i | ||||
\(715\) | −17.1938 | − | 1.12694i | −0.643011 | − | 0.0421452i | ||||
\(716\) | −0.462643 | − | 0.584083i | −0.0172898 | − | 0.0218282i | ||||
\(717\) | 8.68161 | + | 27.3365i | 0.324221 | + | 1.02090i | ||||
\(718\) | 10.4307 | − | 0.421872i | 0.389270 | − | 0.0157441i | ||||
\(719\) | 22.5843 | − | 22.5843i | 0.842251 | − | 0.842251i | −0.146901 | − | 0.989151i | \(-0.546930\pi\) |
0.989151 | + | 0.146901i | \(0.0469297\pi\) | |||||||
\(720\) | −16.1374 | − | 33.4529i | −0.601407 | − | 1.24672i | ||||
\(721\) | −1.37700 | − | 1.37700i | −0.0512823 | − | 0.0512823i | ||||
\(722\) | −50.7991 | − | 46.8497i | −1.89055 | − | 1.74357i | ||||
\(723\) | 0.104078 | + | 0.0949727i | 0.00387069 | + | 0.00353207i | ||||
\(724\) | 26.5981 | − | 7.56771i | 0.988510 | − | 0.281252i | ||||
\(725\) | 0.924587 | − | 14.1065i | 0.0343383 | − | 0.523901i | ||||
\(726\) | −6.96589 | + | 14.8943i | −0.258528 | + | 0.552779i | ||||
\(727\) | 34.3279 | − | 26.3407i | 1.27315 | − | 0.976924i | 0.273264 | − | 0.961939i | \(-0.411897\pi\) |
0.999888 | − | 0.0149848i | \(-0.00476998\pi\) | |||||||
\(728\) | −20.3332 | + | 17.4883i | −0.753600 | + | 0.648158i | ||||
\(729\) | −25.9909 | + | 7.31252i | −0.962626 | + | 0.270834i | ||||
\(730\) | −8.17617 | − | 0.204665i | −0.302614 | − | 0.00757497i | ||||
\(731\) | −74.3469 | − | 25.2374i | −2.74982 | − | 0.933438i | ||||
\(732\) | 1.35626 | − | 19.4009i | 0.0501287 | − | 0.717080i | ||||
\(733\) | −0.874971 | + | 1.77427i | −0.0323178 | + | 0.0655340i | −0.912433 | − | 0.409226i | \(-0.865799\pi\) |
0.880115 | + | 0.474760i | \(0.157465\pi\) | |||||||
\(734\) | −33.1247 | − | 3.00521i | −1.22266 | − | 0.110924i | ||||
\(735\) | 24.9544 | + | 15.0719i | 0.920456 | + | 0.555935i | ||||
\(736\) | −2.30328 | − | 0.137631i | −0.0849001 | − | 0.00507313i | ||||
\(737\) | − | 2.91717i | − | 0.107455i | ||||||
\(738\) | 13.1234 | + | 10.0502i | 0.483077 | + | 0.369955i | ||||
\(739\) | −3.50331 | − | 5.24308i | −0.128871 | − | 0.192870i | 0.761423 | − | 0.648256i | \(-0.224501\pi\) |
−0.890294 | + | 0.455386i | \(0.849501\pi\) | |||||||
\(740\) | −29.5785 | + | 6.35845i | −1.08733 | + | 0.233741i | ||||
\(741\) | 29.3364 | − | 24.7201i | 1.07770 | − | 0.908117i | ||||
\(742\) | 6.50066 | − | 3.53929i | 0.238647 | − | 0.129931i | ||||
\(743\) | −6.90469 | − | 5.29816i | −0.253309 | − | 0.194371i | 0.474300 | − | 0.880364i | \(-0.342701\pi\) |
−0.727608 | + | 0.685993i | \(0.759368\pi\) | |||||||
\(744\) | 44.3541 | − | 1.60099i | 1.62610 | − | 0.0586951i | ||||
\(745\) | −20.9957 | + | 16.1105i | −0.769222 | + | 0.590245i | ||||
\(746\) | 37.8331 | + | 16.7921i | 1.38517 | + | 0.614803i | ||||
\(747\) | −34.1482 | + | 15.1952i | −1.24942 | + | 0.555962i | ||||
\(748\) | 25.9778 | − | 15.5364i | 0.949841 | − | 0.568067i | ||||
\(749\) | 40.2311 | + | 35.2817i | 1.47001 | + | 1.28917i | ||||
\(750\) | 2.20469 | − | 2.29783i | 0.0805039 | − | 0.0839049i | ||||
\(751\) | 1.57187 | − | 5.86631i | 0.0573585 | − | 0.214065i | −0.931298 | − | 0.364258i | \(-0.881323\pi\) |
0.988657 | + | 0.150193i | \(0.0479894\pi\) | |||||||
\(752\) | −15.3737 | − | 34.1057i | −0.560623 | − | 1.24371i | ||||
\(753\) | 13.8042 | − | 13.2697i | 0.503054 | − | 0.483575i | ||||
\(754\) | 0.474289 | + | 11.7267i | 0.0172726 | + | 0.427061i | ||||
\(755\) | 25.1567 | + | 5.00398i | 0.915547 | + | 0.182114i | ||||
\(756\) | 23.5642 | − | 28.0719i | 0.857021 | − | 1.02096i | ||||
\(757\) | −29.5039 | + | 44.1557i | −1.07234 | + | 1.60487i | −0.318354 | + | 0.947972i | \(0.603130\pi\) |
−0.753983 | + | 0.656894i | \(0.771870\pi\) | |||||||
\(758\) | −49.4828 | − | 7.77881i | −1.79730 | − | 0.282539i | ||||
\(759\) | 0.586373 | − | 1.34018i | 0.0212840 | − | 0.0486453i | ||||
\(760\) | −62.1065 | − | 36.6591i | −2.25284 | − | 1.32977i | ||||
\(761\) | −28.8269 | + | 37.5679i | −1.04497 | + | 1.36184i | −0.115351 | + | 0.993325i | \(0.536799\pi\) |
−0.929623 | + | 0.368512i | \(0.879867\pi\) | |||||||
\(762\) | −24.7255 | + | 5.45212i | −0.895710 | + | 0.197509i | ||||
\(763\) | −20.3213 | + | 59.8648i | −0.735682 | + | 2.16725i | ||||
\(764\) | −6.85925 | + | 2.44681i | −0.248159 | + | 0.0885225i | ||||
\(765\) | 59.6393 | + | 32.3977i | 2.15626 | + | 1.17134i | ||||
\(766\) | −4.07782 | − | 23.5686i | −0.147338 | − | 0.851568i | ||||
\(767\) | 14.3754 | − | 24.8989i | 0.519065 | − | 0.899047i | ||||
\(768\) | 17.3847 | − | 21.5818i | 0.627316 | − | 0.778765i | ||||
\(769\) | −5.13390 | − | 8.89218i | −0.185133 | − | 0.320660i | 0.758488 | − | 0.651687i | \(-0.225938\pi\) |
−0.943621 | + | 0.331027i | \(0.892605\pi\) | |||||||
\(770\) | −24.5518 | + | 20.4674i | −0.884784 | + | 0.737595i | ||||
\(771\) | 6.12266 | + | 3.17111i | 0.220502 | + | 0.114205i | ||||
\(772\) | 7.44675 | − | 40.7028i | 0.268014 | − | 1.46493i | ||||
\(773\) | 24.8648 | − | 4.94592i | 0.894326 | − | 0.177892i | 0.273529 | − | 0.961864i | \(-0.411809\pi\) |
0.620797 | + | 0.783971i | \(0.286809\pi\) | |||||||
\(774\) | 14.6080 | − | 43.1676i | 0.525075 | − | 1.55163i | ||||
\(775\) | −15.8786 | − | 38.3344i | −0.570378 | − | 1.37701i | ||||
\(776\) | −0.194439 | + | 20.1904i | −0.00697995 | + | 0.724795i | ||||
\(777\) | −17.7032 | − | 24.0392i | −0.635098 | − | 0.862403i | ||||
\(778\) | −2.55551 | + | 3.16325i | −0.0916195 | + | 0.113408i | ||||
\(779\) | 32.0271 | + | 2.09917i | 1.14749 | + | 0.0752105i | ||||
\(780\) | 17.6480 | − | 22.7937i | 0.631901 | − | 0.816145i | ||||
\(781\) | 0.506741 | − | 0.577827i | 0.0181326 | − | 0.0206763i | ||||
\(782\) | 3.56332 | − | 2.25404i | 0.127424 | − | 0.0806043i | ||||
\(783\) | −3.22693 | − | 15.7107i | −0.115321 | − | 0.561454i | ||||
\(784\) | −2.17387 | + | 21.6430i | −0.0776381 | + | 0.772963i | ||||
\(785\) | −27.5399 | + | 7.37928i | −0.982940 | + | 0.263378i | ||||
\(786\) | −19.1650 | − | 4.71267i | −0.683592 | − | 0.168095i | ||||
\(787\) | −28.6839 | + | 9.73687i | −1.02247 | + | 0.347082i | −0.781803 | − | 0.623525i | \(-0.785700\pi\) |
−0.240668 | + | 0.970608i | \(0.577366\pi\) | |||||||
\(788\) | 29.5221 | + | 16.4438i | 1.05168 | + | 0.585787i | ||||
\(789\) | 35.4677 | − | 16.6286i | 1.26268 | − | 0.591995i | ||||
\(790\) | 2.73775 | − | 1.99392i | 0.0974049 | − | 0.0709406i | ||||
\(791\) | 46.7164 | + | 19.3506i | 1.66104 | + | 0.688027i | ||||
\(792\) | 9.03214 | + | 15.0700i | 0.320943 | + | 0.535489i | ||||
\(793\) | 13.9455 | − | 5.77643i | 0.495221 | − | 0.205127i | ||||
\(794\) | 35.5609 | + | 21.7354i | 1.26201 | + | 0.771359i | ||||
\(795\) | −6.08387 | + | 5.12654i | −0.215773 | + | 0.181820i | ||||
\(796\) | 5.46654 | − | 16.9573i | 0.193756 | − | 0.601034i | ||||
\(797\) | 9.75084 | − | 19.7728i | 0.345393 | − | 0.700387i | −0.652982 | − | 0.757373i | \(-0.726482\pi\) |
0.998375 | + | 0.0569862i | \(0.0181491\pi\) | |||||||
\(798\) | 7.82776 | − | 70.7340i | 0.277100 | − | 2.50396i | ||||
\(799\) | 59.2031 | + | 34.1809i | 2.09446 | + | 1.20923i | ||||
\(800\) | −24.5809 | − | 8.18632i | −0.869067 | − | 0.289430i | ||||
\(801\) | 0.00105019 | − | 0.0265868i | 3.71066e−5 | − | 0.000939398i | ||||
\(802\) | −6.60010 | + | 9.36181i | −0.233058 | + | 0.330577i | ||||
\(803\) | 3.86055 | − | 0.253034i | 0.136236 | − | 0.00892936i | ||||
\(804\) | 4.04614 | + | 2.72904i | 0.142696 | + | 0.0962458i | ||||
\(805\) | −3.34756 | + | 2.93573i | −0.117986 | + | 0.103471i | ||||
\(806\) | 16.4717 | + | 30.2539i | 0.580192 | + | 1.06565i | ||||
\(807\) | −19.0237 | + | 7.44343i | −0.669666 | + | 0.262021i | ||||
\(808\) | −0.735671 | − | 3.89408i | −0.0258808 | − | 0.136993i | ||||
\(809\) | 36.4154 | + | 15.0838i | 1.28030 | + | 0.530317i | 0.916079 | − | 0.400997i | \(-0.131336\pi\) |
0.364219 | + | 0.931314i | \(0.381336\pi\) | |||||||
\(810\) | −18.7722 | + | 34.6347i | −0.659588 | + | 1.21694i | ||||
\(811\) | 29.0980 | + | 19.4427i | 1.02177 | + | 0.682725i | 0.949211 | − | 0.314639i | \(-0.101883\pi\) |
0.0725591 | + | 0.997364i | \(0.476883\pi\) | |||||||
\(812\) | 15.6301 | + | 15.1560i | 0.548507 | + | 0.531872i | ||||
\(813\) | −2.14329 | + | 9.76366i | −0.0751684 | + | 0.342426i | ||||
\(814\) | 13.6627 | − | 4.25966i | 0.478877 | − | 0.149301i | ||||
\(815\) | 3.30951 | − | 12.3513i | 0.115927 | − | 0.432646i | ||||
\(816\) | −2.75332 | + | 50.5659i | −0.0963856 | + | 1.77016i | ||||
\(817\) | −22.9025 | − | 85.4731i | −0.801256 | − | 2.99033i | ||||
\(818\) | 1.01319 | + | 1.60171i | 0.0354253 | + | 0.0560024i | ||||
\(819\) | 27.6589 | + | 6.64646i | 0.966480 | + | 0.232246i | ||||
\(820\) | 23.8603 | − | 3.51579i | 0.833238 | − | 0.122777i | ||||
\(821\) | −18.9300 | − | 38.3862i | −0.660661 | − | 1.33969i | −0.926728 | − | 0.375734i | \(-0.877391\pi\) |
0.266066 | − | 0.963955i | \(-0.414276\pi\) | |||||||
\(822\) | −6.83734 | − | 5.75043i | −0.238480 | − | 0.200569i | ||||
\(823\) | 38.2019 | − | 5.02937i | 1.33163 | − | 0.175313i | 0.569104 | − | 0.822266i | \(-0.307290\pi\) |
0.762530 | + | 0.646953i | \(0.223957\pi\) | |||||||
\(824\) | −0.218755 | + | 1.54638i | −0.00762068 | + | 0.0538709i | ||||
\(825\) | 10.2544 | − | 12.8312i | 0.357012 | − | 0.446725i | ||||
\(826\) | −12.5106 | − | 51.8467i | −0.435298 | − | 1.80398i | ||||
\(827\) | 5.70729 | − | 1.13525i | 0.198462 | − | 0.0394765i | −0.0948582 | − | 0.995491i | \(-0.530240\pi\) |
0.293320 | + | 0.956014i | \(0.405240\pi\) | |||||||
\(828\) | 1.31028 | + | 2.06705i | 0.0455354 | + | 0.0718351i | ||||
\(829\) | 14.6442 | − | 9.78491i | 0.508613 | − | 0.339844i | −0.274641 | − | 0.961547i | \(-0.588559\pi\) |
0.783253 | + | 0.621703i | \(0.213559\pi\) | |||||||
\(830\) | −18.8164 | + | 51.1857i | −0.653126 | + | 1.77668i | ||||
\(831\) | 0.322873 | − | 0.534578i | 0.0112003 | − | 0.0185443i | ||||
\(832\) | 21.0109 | + | 4.60168i | 0.728423 | + | 0.159535i | ||||
\(833\) | −19.8741 | − | 34.4229i | −0.688595 | − | 1.19268i | ||||
\(834\) | −45.6478 | + | 6.97291i | −1.58065 | + | 0.241452i | ||||
\(835\) | −1.67887 | − | 25.6146i | −0.0580998 | − | 0.886431i | ||||
\(836\) | 30.8252 | + | 14.6157i | 1.06611 | + | 0.505494i | ||||
\(837\) | −28.8897 | − | 37.1680i | −0.998575 | − | 1.28472i | ||||
\(838\) | −25.6646 | + | 24.4111i | −0.886568 | + | 0.843267i | ||||
\(839\) | −40.4886 | − | 5.33043i | −1.39782 | − | 0.184027i | −0.606333 | − | 0.795211i | \(-0.707360\pi\) |
−0.791489 | + | 0.611184i | \(0.790694\pi\) | |||||||
\(840\) | −5.42013 | − | 53.2011i | −0.187012 | − | 1.83561i | ||||
\(841\) | −19.3061 | + | 2.54169i | −0.665726 | + | 0.0876445i | ||||
\(842\) | −6.45411 | − | 5.21412i | −0.222423 | − | 0.179691i | ||||
\(843\) | −10.2483 | − | 21.8588i | −0.352969 | − | 0.752858i | ||||
\(844\) | −27.2129 | − | 10.7841i | −0.936707 | − | 0.371206i | ||||
\(845\) | −17.5199 | − | 3.48493i | −0.602704 | − | 0.119885i | ||||
\(846\) | −19.8075 | + | 34.3825i | −0.680996 | + | 1.18209i | ||||
\(847\) | −16.7401 | + | 16.7401i | −0.575197 | + | 0.575197i | ||||
\(848\) | −5.40224 | − | 2.46031i | −0.185514 | − | 0.0844875i | ||||
\(849\) | −7.23874 | + | 25.0283i | −0.248433 | + | 0.858970i | ||||
\(850\) | 45.1975 | − | 14.0914i | 1.55026 | − | 0.483330i | ||||
\(851\) | 1.88772 | − | 0.640794i | 0.0647102 | − | 0.0219661i | ||||
\(852\) | 0.327391 | + | 1.24342i | 0.0112162 | + | 0.0425988i | ||||
\(853\) | −48.7256 | + | 24.0288i | −1.66833 | + | 0.822731i | −0.671693 | + | 0.740829i | \(0.734433\pi\) |
−0.996640 | + | 0.0819016i | \(0.973901\pi\) | |||||||
\(854\) | 11.3597 | − | 25.5937i | 0.388721 | − | 0.875799i | ||||
\(855\) | 6.98328 | + | 76.1740i | 0.238823 | + | 2.60510i | ||||
\(856\) | 3.21901 | − | 42.7939i | 0.110023 | − | 1.46266i | ||||
\(857\) | −0.434652 | + | 3.30151i | −0.0148474 | + | 0.112777i | −0.997264 | − | 0.0739262i | \(-0.976447\pi\) |
0.982416 | + | 0.186704i | \(0.0597804\pi\) | |||||||
\(858\) | −7.33979 | + | 11.4924i | −0.250576 | + | 0.392344i | ||||
\(859\) | 0.939548 | − | 0.823961i | 0.0320569 | − | 0.0281132i | −0.643167 | − | 0.765726i | \(-0.722380\pi\) |
0.675224 | + | 0.737612i | \(0.264047\pi\) | |||||||
\(860\) | −30.3239 | − | 59.1761i | −1.03404 | − | 2.01789i | ||||
\(861\) | 12.8290 | + | 20.0455i | 0.437211 | + | 0.683148i | ||||
\(862\) | 6.16583 | + | 13.3342i | 0.210009 | + | 0.454166i | ||||
\(863\) | − | 38.5614i | − | 1.31264i | −0.754481 | − | 0.656322i | \(-0.772111\pi\) | ||
0.754481 | − | 0.656322i | \(-0.227889\pi\) | |||||||
\(864\) | −29.3519 | − | 1.57045i | −0.998572 | − | 0.0534277i | ||||
\(865\) | − | 18.6980i | − | 0.635752i | ||||||
\(866\) | 12.9492 | − | 5.98780i | 0.440033 | − | 0.203474i | ||||
\(867\) | −34.0104 | − | 53.1418i | −1.15505 | − | 1.80479i | ||||
\(868\) | 60.8199 | + | 19.6066i | 2.06436 | + | 0.665492i | ||||
\(869\) | −1.20454 | + | 1.05635i | −0.0408611 | + | 0.0358343i | ||||
\(870\) | −19.7224 | − | 12.5960i | −0.668651 | − | 0.427044i | ||||
\(871\) | −0.494421 | + | 3.75550i | −0.0167528 | + | 0.127250i | ||||
\(872\) | 48.1658 | − | 15.8345i | 1.63110 | − | 0.536223i | ||||
\(873\) | 17.4919 | − | 12.3566i | 0.592013 | − | 0.418207i | ||||
\(874\) | 4.34345 | + | 1.92783i | 0.146919 | + | 0.0652098i | ||||
\(875\) | 4.11210 | − | 2.02786i | 0.139014 | − | 0.0685543i | ||||
\(876\) | −3.26062 | + | 5.59134i | −0.110166 | + | 0.188914i | ||||
\(877\) | 19.5594 | − | 6.63953i | 0.660475 | − | 0.224201i | 0.0289788 | − | 0.999580i | \(-0.490774\pi\) |
0.631496 | + | 0.775379i | \(0.282441\pi\) | |||||||
\(878\) | −3.43540 | − | 11.0189i | −0.115939 | − | 0.371870i | ||||
\(879\) | −9.30896 | + | 32.1862i | −0.313983 | + | 1.08562i | ||||
\(880\) | 24.9540 | + | 5.86931i | 0.841200 | + | 0.197854i | ||||
\(881\) | −17.9614 | + | 17.9614i | −0.605136 | + | 0.605136i | −0.941671 | − | 0.336535i | \(-0.890745\pi\) |
0.336535 | + | 0.941671i | \(0.390745\pi\) | |||||||
\(882\) | 19.9695 | − | 11.5545i | 0.672407 | − | 0.389061i | ||||
\(883\) | 41.5408 | + | 8.26297i | 1.39796 | + | 0.278071i | 0.835834 | − | 0.548982i | \(-0.184984\pi\) |
0.562124 | + | 0.827053i | \(0.309984\pi\) | |||||||
\(884\) | −36.0765 | + | 15.5984i | −1.21338 | + | 0.524629i | ||||
\(885\) | 24.3355 | + | 51.9060i | 0.818029 | + | 1.74480i | ||||
\(886\) | 13.2134 | − | 16.3557i | 0.443912 | − | 0.549480i | ||||
\(887\) | 26.2555 | − | 3.45660i | 0.881572 | − | 0.116061i | 0.323869 | − | 0.946102i | \(-0.395016\pi\) |
0.557703 | + | 0.830041i | \(0.311683\pi\) | |||||||
\(888\) | −6.87338 | + | 22.9352i | −0.230656 | + | 0.769656i | ||||
\(889\) | −36.1428 | − | 4.75830i | −1.21219 | − | 0.159588i | ||||
\(890\) | −0.0267559 | − | 0.0281298i | −0.000896860 | − | 0.000942913i | ||||
\(891\) | 7.36331 | − | 17.1187i | 0.246680 | − | 0.573499i | ||||
\(892\) | −5.33176 | − | 14.9468i | −0.178521 | − | 0.500455i | ||||
\(893\) | 5.03911 | + | 76.8819i | 0.168627 | + | 2.57275i | ||||
\(894\) | 3.16259 | + | 20.7037i | 0.105773 | + | 0.692435i | ||||
\(895\) | 0.576559 | + | 0.998629i | 0.0192722 | + | 0.0333805i | ||||
\(896\) | 34.1250 | − | 20.6771i | 1.14004 | − | 0.690773i | ||||
\(897\) | −0.982027 | + | 1.62593i | −0.0327889 | + | 0.0542884i | ||||
\(898\) | 43.8399 | + | 16.1160i | 1.46296 | + | 0.537797i | ||||
\(899\) | 23.2511 | − | 15.5359i | 0.775467 | − | 0.518150i | ||||
\(900\) | 8.20392 | + | 26.2267i | 0.273464 | + | 0.874222i | ||||
\(901\) | 10.6389 | − | 2.11620i | 0.354432 | − | 0.0705010i | ||||
\(902\) | −11.0903 | + | 2.67609i | −0.369268 | + | 0.0891039i | ||||
\(903\) | 40.9634 | − | 51.2570i | 1.36318 | − | 1.70573i | ||||
\(904\) | −10.1182 | − | 39.2705i | −0.336527 | − | 1.30612i | ||||
\(905\) | −42.4301 | + | 5.58603i | −1.41042 | + | 0.185686i | ||||
\(906\) | 13.0655 | − | 15.5351i | 0.434073 | − | 0.516119i | ||||
\(907\) | 0.716259 | + | 1.45243i | 0.0237830 | + | 0.0482271i | 0.908440 | − | 0.418015i | \(-0.137274\pi\) |
−0.884657 | + | 0.466242i | \(0.845607\pi\) | |||||||
\(908\) | 0.275465 | + | 0.204712i | 0.00914163 | + | 0.00679359i | ||||
\(909\) | −2.89404 | + | 3.04840i | −0.0959893 | + | 0.101109i | ||||
\(910\) | 35.0764 | − | 22.1882i | 1.16277 | − | 0.735531i | ||||
\(911\) | −5.12296 | − | 19.1192i | −0.169731 | − | 0.633446i | −0.997389 | − | 0.0722130i | \(-0.976994\pi\) |
0.827658 | − | 0.561233i | \(-0.189673\pi\) | |||||||
\(912\) | −49.1094 | + | 29.0818i | −1.62618 | + | 0.962995i | ||||
\(913\) | 6.67672 | − | 24.9178i | 0.220967 | − | 0.824660i | ||||
\(914\) | 8.71357 | + | 27.9484i | 0.288219 | + | 0.924452i | ||||
\(915\) | −6.45330 | + | 29.3978i | −0.213340 | + | 0.971860i | ||||
\(916\) | −15.6046 | + | 0.240278i | −0.515590 | + | 0.00793899i | ||||
\(917\) | −23.6267 | − | 15.7868i | −0.780221 | − | 0.521327i | ||||
\(918\) | 45.2135 | − | 28.9965i | 1.49227 | − | 0.957026i | ||||
\(919\) | 26.2317 | + | 10.8655i | 0.865305 | + | 0.358421i | 0.770780 | − | 0.637102i | \(-0.219867\pi\) |
0.0945249 | + | 0.995522i | \(0.469867\pi\) | |||||||
\(920\) | 3.49538 | + | 0.730334i | 0.115239 | + | 0.0240784i | ||||
\(921\) | 27.0105 | − | 10.5685i | 0.890028 | − | 0.348242i | ||||
\(922\) | 11.8082 | − | 6.42895i | 0.388881 | − | 0.211726i | ||||
\(923\) | −0.750302 | + | 0.657997i | −0.0246965 | + | 0.0216582i | ||||
\(924\) | 4.82725 | + | 24.8314i | 0.158805 | + | 0.816893i | ||||
\(925\) | 22.3360 | − | 1.46398i | 0.734403 | − | 0.0481353i | ||||
\(926\) | −35.4647 | − | 25.0027i | −1.16544 | − | 0.821640i | ||||
\(927\) | 1.46616 | − | 0.770991i | 0.0481550 | − | 0.0253227i | ||||
\(928\) | 2.17921 | − | 17.3242i | 0.0715360 | − | 0.568693i | ||||
\(929\) | −35.1738 | − | 20.3076i | −1.15401 | − | 0.666270i | −0.204151 | − | 0.978939i | \(-0.565443\pi\) |
−0.949862 | + | 0.312669i | \(0.898777\pi\) | |||||||
\(930\) | −68.2693 | − | 7.55501i | −2.23864 | − | 0.247739i | ||||
\(931\) | 19.8136 | − | 40.1780i | 0.649364 | − | 1.31678i | ||||
\(932\) | 3.19670 | + | 6.23827i | 0.104712 | + | 0.204341i | ||||
\(933\) | −33.6348 | + | 28.3421i | −1.10115 | + | 0.927880i | ||||
\(934\) | −21.9518 | + | 35.9149i | −0.718284 | + | 1.17517i | ||||
\(935\) | −43.2781 | + | 17.9264i | −1.41535 | + | 0.586255i | ||||
\(936\) | −9.07364 | − | 20.9316i | −0.296581 | − | 0.684172i | ||||
\(937\) | 10.2998 | + | 4.26633i | 0.336481 | + | 0.139375i | 0.544525 | − | 0.838744i | \(-0.316710\pi\) |
−0.208044 | + | 0.978119i | \(0.566710\pi\) | |||||||
\(938\) | 4.13683 | + | 5.68007i | 0.135072 | + | 0.185461i | ||||
\(939\) | 15.5655 | − | 7.29772i | 0.507962 | − | 0.238152i | ||||
\(940\) | 15.8437 | + | 55.6856i | 0.516765 | + | 1.81626i | ||||
\(941\) | 2.07172 | − | 0.703256i | 0.0675363 | − | 0.0229255i | −0.287467 | − | 0.957791i | \(-0.592813\pi\) |
0.355003 | + | 0.934865i | \(0.384480\pi\) | |||||||
\(942\) | −5.38792 | + | 21.9110i | −0.175548 | + | 0.713900i | ||||
\(943\) | −1.53503 | + | 0.411311i | −0.0499875 | + | 0.0133941i | ||||
\(944\) | −27.1994 | + | 33.0123i | −0.885265 | + | 1.07446i | ||||
\(945\) | −42.4108 | + | 37.6633i | −1.37962 | + | 1.22519i | ||||
\(946\) | 16.8148 | + | 26.5818i | 0.546696 | + | 0.864250i | ||||
\(947\) | 11.4158 | − | 13.0172i | 0.370964 | − | 0.423003i | −0.535996 | − | 0.844221i | \(-0.680064\pi\) |
0.906960 | + | 0.421217i | \(0.138397\pi\) | |||||||
\(948\) | −0.338313 | − | 2.65893i | −0.0109879 | − | 0.0863581i | ||||
\(949\) | −5.01288 | − | 0.328561i | −0.162725 | − | 0.0106656i | ||||
\(950\) | 41.5056 | + | 33.5314i | 1.34662 | + | 1.08790i | ||||
\(951\) | 12.4995 | + | 16.9731i | 0.405323 | + | 0.550390i | ||||
\(952\) | −28.5496 | + | 67.0902i | −0.925299 | + | 2.17441i | ||||
\(953\) | −10.9387 | − | 26.4083i | −0.354338 | − | 0.855448i | −0.996074 | − | 0.0885225i | \(-0.971785\pi\) |
0.641736 | − | 0.766926i | \(-0.278215\pi\) | |||||||
\(954\) | 1.23415 | + | 6.17405i | 0.0399571 | + | 0.199892i | ||||
\(955\) | 11.0538 | − | 2.19874i | 0.357693 | − | 0.0711496i | ||||
\(956\) | 27.2509 | − | 18.8217i | 0.881358 | − | 0.608739i | ||||
\(957\) | 9.82958 | + | 5.09104i | 0.317745 | + | 0.164570i | ||||
\(958\) | −9.20989 | − | 11.0478i | −0.297558 | − | 0.356937i | ||||
\(959\) | −6.43155 | − | 11.1398i | −0.207686 | − | 0.359722i | ||||
\(960\) | −31.4855 | + | 29.1207i | −1.01619 | + | 0.939867i | ||||
\(961\) | 25.5385 | − | 44.2340i | 0.823823 | − | 1.42690i | ||||
\(962\) | −18.3110 | + | 3.16816i | −0.590371 | + | 0.102145i | ||||
\(963\) | −38.8155 | + | 23.7749i | −1.25081 | + | 0.766137i | ||||
\(964\) | 0.0697026 | − | 0.147006i | 0.00224497 | − | 0.00473475i | ||||
\(965\) | −20.5838 | + | 60.6379i | −0.662616 | + | 1.95200i | ||||
\(966\) | 0.758764 | + | 3.44102i | 0.0244128 | + | 0.110713i | ||||
\(967\) | 3.18392 | − | 4.14936i | 0.102388 | − | 0.133435i | −0.739349 | − | 0.673322i | \(-0.764867\pi\) |
0.841737 | + | 0.539888i | \(0.181533\pi\) | |||||||
\(968\) | 18.7993 | + | 2.65938i | 0.604232 | + | 0.0854759i | ||||
\(969\) | 41.8059 | − | 95.5490i | 1.34300 | − | 3.06948i | ||||
\(970\) | 4.85262 | − | 30.8686i | 0.155808 | − | 0.991131i | ||||
\(971\) | −1.50183 | + | 2.24765i | −0.0481960 | + | 0.0721304i | −0.854785 | − | 0.518982i | \(-0.826311\pi\) |
0.806589 | + | 0.591113i | \(0.201311\pi\) | |||||||
\(972\) | 16.8554 | + | 26.2277i | 0.540638 | + | 0.841255i | ||||
\(973\) | −65.2080 | − | 12.9707i | −2.09047 | − | 0.415821i | ||||
\(974\) | −20.3088 | + | 0.821394i | −0.650735 | + | 0.0263192i | ||||
\(975\) | −15.3760 | + | 14.7806i | −0.492427 | + | 0.473359i | ||||
\(976\) | −21.8801 | + | 5.05719i | −0.700366 | + | 0.161877i | ||||
\(977\) | −9.82269 | + | 36.6588i | −0.314256 | + | 1.17282i | 0.610425 | + | 0.792074i | \(0.290999\pi\) |
−0.924681 | + | 0.380744i | \(0.875668\pi\) | |||||||
\(978\) | −7.30206 | − | 7.00607i | −0.233494 | − | 0.224030i | ||||
\(979\) | 0.0138070 | + | 0.0121084i | 0.000441274 | + | 0.000386987i | ||||
\(980\) | 8.21090 | − | 32.6459i | 0.262288 | − | 1.04284i | ||||
\(981\) | −43.5002 | − | 31.6187i | −1.38885 | − | 1.00951i | ||||
\(982\) | 16.2352 | − | 36.5783i | 0.518086 | − | 1.16726i | ||||
\(983\) | 35.9931 | − | 27.6185i | 1.14800 | − | 0.880893i | 0.153766 | − | 0.988107i | \(-0.450860\pi\) |
0.994236 | + | 0.107215i | \(0.0341932\pi\) | |||||||
\(984\) | 6.66336 | − | 17.8859i | 0.212420 | − | 0.570182i | ||||
\(985\) | −41.4900 | − | 31.8364i | −1.32198 | − | 1.01439i | ||||
\(986\) | 15.2569 | + | 28.0225i | 0.485877 | + | 0.892419i | ||||
\(987\) | −43.6883 | + | 36.8137i | −1.39061 | + | 1.17179i | ||||
\(988\) | −37.2066 | − | 24.0404i | −1.18370 | − | 0.764828i | ||||
\(989\) | 2.43416 | + | 3.64298i | 0.0774019 | + | 0.115840i | ||||
\(990\) | −10.4289 | − | 25.1105i | −0.331451 | − | 0.798063i | ||||
\(991\) | 8.28938i | 0.263321i | 0.991295 | + | 0.131660i | \(0.0420308\pi\) | ||||
−0.991295 | + | 0.131660i | \(0.957969\pi\) | |||||||
\(992\) | −16.7530 | − | 48.4335i | −0.531910 | − | 1.53776i | ||||
\(993\) | 8.46932 | + | 5.11527i | 0.268766 | + | 0.162328i | ||||
\(994\) | −0.167269 | + | 1.84370i | −0.00530544 | + | 0.0584788i | ||||
\(995\) | −12.1950 | + | 24.7291i | −0.386609 | + | 0.783965i | ||||
\(996\) | 28.3152 | + | 32.5716i | 0.897201 | + | 1.03207i | ||||
\(997\) | 58.7026 | + | 19.9268i | 1.85913 | + | 0.631089i | 0.990842 | + | 0.135029i | \(0.0431127\pi\) |
0.868288 | + | 0.496061i | \(0.165221\pi\) | |||||||
\(998\) | −0.502692 | + | 20.0821i | −0.0159124 | + | 0.635689i | ||||
\(999\) | 23.9964 | − | 8.31275i | 0.759211 | − | 0.263004i |
(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 | 576.2.bm.a.205.85 | yes | 1504 | |
9.4 | even | 3 | inner | 576.2.bm.a.13.22 | ✓ | 1504 | |
64.5 | even | 16 | inner | 576.2.bm.a.133.22 | yes | 1504 | |
576.517 | even | 48 | inner | 576.2.bm.a.517.85 | yes | 1504 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
576.2.bm.a.13.22 | ✓ | 1504 | 9.4 | even | 3 | inner | |
576.2.bm.a.133.22 | yes | 1504 | 64.5 | even | 16 | inner | |
576.2.bm.a.205.85 | yes | 1504 | 1.1 | even | 1 | trivial | |
576.2.bm.a.517.85 | yes | 1504 | 576.517 | even | 48 | inner |