Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [126,2,Mod(67,126)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(126, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([2, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("126.67");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 126 = 2 \cdot 3^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 126.h (of order \(3\), degree \(2\), 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: | \(1.00611506547\) |
Analytic rank: | \(0\) |
Dimension: | \(6\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{3})\) |
Coefficient field: | 6.0.309123.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{6} - 3x^{5} + 10x^{4} - 15x^{3} + 19x^{2} - 12x + 3 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 67.3 | ||
Root | \(0.500000 - 2.05195i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 126.67 |
Dual form | 126.2.h.c.79.3 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/126\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(73\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{2}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.500000 | + | 0.866025i | −0.353553 | + | 0.612372i | ||||
\(3\) | 1.73025 | − | 0.0789082i | 0.998962 | − | 0.0455577i | ||||
\(4\) | −0.500000 | − | 0.866025i | −0.250000 | − | 0.433013i | ||||
\(5\) | −0.460505 | −0.205944 | −0.102972 | − | 0.994684i | \(-0.532835\pi\) | ||||
−0.102972 | + | 0.994684i | \(0.532835\pi\) | |||||||
\(6\) | −0.796790 | + | 1.53790i | −0.325288 | + | 0.627844i | ||||
\(7\) | 2.25729 | + | 1.38008i | 0.853177 | + | 0.521621i | ||||
\(8\) | 1.00000 | 0.353553 | ||||||||
\(9\) | 2.98755 | − | 0.273062i | 0.995849 | − | 0.0910208i | ||||
\(10\) | 0.230252 | − | 0.398809i | 0.0728122 | − | 0.126114i | ||||
\(11\) | −3.64766 | −1.09981 | −0.549906 | − | 0.835227i | \(-0.685336\pi\) | ||||
−0.549906 | + | 0.835227i | \(0.685336\pi\) | |||||||
\(12\) | −0.933463 | − | 1.45899i | −0.269467 | − | 0.421174i | ||||
\(13\) | 0.730252 | − | 1.26483i | 0.202536 | − | 0.350802i | −0.746809 | − | 0.665038i | \(-0.768415\pi\) |
0.949345 | + | 0.314236i | \(0.101748\pi\) | |||||||
\(14\) | −2.32383 | + | 1.26483i | −0.621070 | + | 0.338041i | ||||
\(15\) | −0.796790 | + | 0.0363376i | −0.205730 | + | 0.00938234i | ||||
\(16\) | −0.500000 | + | 0.866025i | −0.125000 | + | 0.216506i | ||||
\(17\) | −1.86693 | + | 3.23361i | −0.452796 | + | 0.784266i | −0.998558 | − | 0.0536743i | \(-0.982907\pi\) |
0.545763 | + | 0.837940i | \(0.316240\pi\) | |||||||
\(18\) | −1.25729 | + | 2.72382i | −0.296347 | + | 0.642011i | ||||
\(19\) | −2.02704 | − | 3.51094i | −0.465035 | − | 0.805465i | 0.534168 | − | 0.845378i | \(-0.320625\pi\) |
−0.999203 | + | 0.0399136i | \(0.987292\pi\) | |||||||
\(20\) | 0.230252 | + | 0.398809i | 0.0514860 | + | 0.0891764i | ||||
\(21\) | 4.01459 | + | 2.20977i | 0.876055 | + | 0.482211i | ||||
\(22\) | 1.82383 | − | 3.15897i | 0.388842 | − | 0.673495i | ||||
\(23\) | 1.13307 | 0.236262 | 0.118131 | − | 0.992998i | \(-0.462310\pi\) | ||||
0.118131 | + | 0.992998i | \(0.462310\pi\) | |||||||
\(24\) | 1.73025 | − | 0.0789082i | 0.353186 | − | 0.0161071i | ||||
\(25\) | −4.78794 | −0.957587 | ||||||||
\(26\) | 0.730252 | + | 1.26483i | 0.143214 | + | 0.248054i | ||||
\(27\) | 5.14766 | − | 0.708209i | 0.990668 | − | 0.136295i | ||||
\(28\) | 0.0665372 | − | 2.64491i | 0.0125744 | − | 0.499842i | ||||
\(29\) | −4.48755 | − | 7.77266i | −0.833317 | − | 1.44335i | −0.895394 | − | 0.445275i | \(-0.853106\pi\) |
0.0620772 | − | 0.998071i | \(-0.480228\pi\) | |||||||
\(30\) | 0.366926 | − | 0.708209i | 0.0669911 | − | 0.129301i | ||||
\(31\) | 0.257295 | + | 0.445647i | 0.0462115 | + | 0.0800406i | 0.888206 | − | 0.459446i | \(-0.151952\pi\) |
−0.841994 | + | 0.539486i | \(0.818619\pi\) | |||||||
\(32\) | −0.500000 | − | 0.866025i | −0.0883883 | − | 0.153093i | ||||
\(33\) | −6.31138 | + | 0.287831i | −1.09867 | + | 0.0501049i | ||||
\(34\) | −1.86693 | − | 3.23361i | −0.320175 | − | 0.554560i | ||||
\(35\) | −1.03950 | − | 0.635534i | −0.175707 | − | 0.107425i | ||||
\(36\) | −1.73025 | − | 2.45076i | −0.288375 | − | 0.408460i | ||||
\(37\) | −4.55408 | − | 7.88791i | −0.748687 | − | 1.29676i | −0.948452 | − | 0.316920i | \(-0.897351\pi\) |
0.199765 | − | 0.979844i | \(-0.435982\pi\) | |||||||
\(38\) | 4.05408 | 0.657659 | ||||||||
\(39\) | 1.16372 | − | 2.24611i | 0.186344 | − | 0.359665i | ||||
\(40\) | −0.460505 | −0.0728122 | ||||||||
\(41\) | −0.472958 | + | 0.819187i | −0.0738636 | + | 0.127936i | −0.900592 | − | 0.434666i | \(-0.856866\pi\) |
0.826728 | + | 0.562602i | \(0.190200\pi\) | |||||||
\(42\) | −3.92101 | + | 2.37185i | −0.605025 | + | 0.365985i | ||||
\(43\) | 4.66372 | + | 8.07779i | 0.711210 | + | 1.23185i | 0.964403 | + | 0.264436i | \(0.0851858\pi\) |
−0.253193 | + | 0.967416i | \(0.581481\pi\) | |||||||
\(44\) | 1.82383 | + | 3.15897i | 0.274953 | + | 0.476233i | ||||
\(45\) | −1.37578 | + | 0.125747i | −0.205089 | + | 0.0187452i | ||||
\(46\) | −0.566537 | + | 0.981271i | −0.0835314 | + | 0.144681i | ||||
\(47\) | −1.16372 | + | 2.01561i | −0.169745 | + | 0.294007i | −0.938330 | − | 0.345740i | \(-0.887628\pi\) |
0.768585 | + | 0.639748i | \(0.220961\pi\) | |||||||
\(48\) | −0.796790 | + | 1.53790i | −0.115007 | + | 0.221976i | ||||
\(49\) | 3.19076 | + | 6.23049i | 0.455822 | + | 0.890071i | ||||
\(50\) | 2.39397 | − | 4.14647i | 0.338558 | − | 0.586400i | ||||
\(51\) | −2.97509 | + | 5.74228i | −0.416596 | + | 0.804080i | ||||
\(52\) | −1.46050 | −0.202536 | ||||||||
\(53\) | 6.21780 | − | 10.7695i | 0.854080 | − | 1.47931i | −0.0234151 | − | 0.999726i | \(-0.507454\pi\) |
0.877495 | − | 0.479585i | \(-0.159213\pi\) | |||||||
\(54\) | −1.96050 | + | 4.81211i | −0.266791 | + | 0.654845i | ||||
\(55\) | 1.67977 | 0.226500 | ||||||||
\(56\) | 2.25729 | + | 1.38008i | 0.301644 | + | 0.184421i | ||||
\(57\) | −3.78434 | − | 5.91486i | −0.501248 | − | 0.783443i | ||||
\(58\) | 8.97509 | 1.17849 | ||||||||
\(59\) | 6.44805 | + | 11.1684i | 0.839465 | + | 1.45400i | 0.890343 | + | 0.455291i | \(0.150465\pi\) |
−0.0508779 | + | 0.998705i | \(0.516202\pi\) | |||||||
\(60\) | 0.429864 | + | 0.671871i | 0.0554952 | + | 0.0867382i | ||||
\(61\) | −6.04163 | + | 10.4644i | −0.773552 | + | 1.33983i | 0.162053 | + | 0.986782i | \(0.448188\pi\) |
−0.935605 | + | 0.353049i | \(0.885145\pi\) | |||||||
\(62\) | −0.514589 | −0.0653529 | ||||||||
\(63\) | 7.12062 | + | 3.50667i | 0.897114 | + | 0.441799i | ||||
\(64\) | 1.00000 | 0.125000 | ||||||||
\(65\) | −0.336285 | + | 0.582462i | −0.0417110 | + | 0.0722456i | ||||
\(66\) | 2.90642 | − | 5.60973i | 0.357756 | − | 0.690510i | ||||
\(67\) | 1.16012 | + | 2.00938i | 0.141731 | + | 0.245485i | 0.928148 | − | 0.372210i | \(-0.121400\pi\) |
−0.786418 | + | 0.617695i | \(0.788067\pi\) | |||||||
\(68\) | 3.73385 | 0.452796 | ||||||||
\(69\) | 1.96050 | − | 0.0894089i | 0.236017 | − | 0.0107636i | ||||
\(70\) | 1.07014 | − | 0.582462i | 0.127906 | − | 0.0696176i | ||||
\(71\) | 1.67977 | 0.199352 | 0.0996758 | − | 0.995020i | \(-0.468219\pi\) | ||||
0.0996758 | + | 0.995020i | \(0.468219\pi\) | |||||||
\(72\) | 2.98755 | − | 0.273062i | 0.352086 | − | 0.0321807i | ||||
\(73\) | −6.62062 | + | 11.4673i | −0.774885 | + | 1.34214i | 0.159974 | + | 0.987121i | \(0.448859\pi\) |
−0.934859 | + | 0.355019i | \(0.884474\pi\) | |||||||
\(74\) | 9.10817 | 1.05880 | ||||||||
\(75\) | −8.28434 | + | 0.377808i | −0.956593 | + | 0.0436255i | ||||
\(76\) | −2.02704 | + | 3.51094i | −0.232518 | + | 0.402732i | ||||
\(77\) | −8.23385 | − | 5.03407i | −0.938334 | − | 0.573685i | ||||
\(78\) | 1.36333 | + | 2.13086i | 0.154366 | + | 0.241272i | ||||
\(79\) | 2.50360 | − | 4.33636i | 0.281677 | − | 0.487879i | −0.690121 | − | 0.723694i | \(-0.742443\pi\) |
0.971798 | + | 0.235815i | \(0.0757761\pi\) | |||||||
\(80\) | 0.230252 | − | 0.398809i | 0.0257430 | − | 0.0445882i | ||||
\(81\) | 8.85087 | − | 1.63157i | 0.983430 | − | 0.181286i | ||||
\(82\) | −0.472958 | − | 0.819187i | −0.0522295 | − | 0.0904641i | ||||
\(83\) | 3.32383 | + | 5.75705i | 0.364838 | + | 0.631918i | 0.988750 | − | 0.149577i | \(-0.0477911\pi\) |
−0.623912 | + | 0.781494i | \(0.714458\pi\) | |||||||
\(84\) | −0.0935793 | − | 4.58162i | −0.0102103 | − | 0.499896i | ||||
\(85\) | 0.859728 | − | 1.48909i | 0.0932506 | − | 0.161515i | ||||
\(86\) | −9.32743 | −1.00580 | ||||||||
\(87\) | −8.37792 | − | 13.0946i | −0.898207 | − | 1.40388i | ||||
\(88\) | −3.64766 | −0.388842 | ||||||||
\(89\) | −1.36333 | − | 2.36135i | −0.144512 | − | 0.250303i | 0.784679 | − | 0.619903i | \(-0.212828\pi\) |
−0.929191 | + | 0.369600i | \(0.879495\pi\) | |||||||
\(90\) | 0.578990 | − | 1.25433i | 0.0610309 | − | 0.132218i | ||||
\(91\) | 3.39397 | − | 1.84730i | 0.355784 | − | 0.193649i | ||||
\(92\) | −0.566537 | − | 0.981271i | −0.0590656 | − | 0.102305i | ||||
\(93\) | 0.480350 | + | 0.750780i | 0.0498099 | + | 0.0778522i | ||||
\(94\) | −1.16372 | − | 2.01561i | −0.120028 | − | 0.207895i | ||||
\(95\) | 0.933463 | + | 1.61680i | 0.0957713 | + | 0.165881i | ||||
\(96\) | −0.933463 | − | 1.45899i | −0.0952711 | − | 0.148907i | ||||
\(97\) | −5.59358 | − | 9.68836i | −0.567942 | − | 0.983704i | −0.996769 | − | 0.0803178i | \(-0.974406\pi\) |
0.428827 | − | 0.903386i | \(-0.358927\pi\) | |||||||
\(98\) | −6.99115 | − | 0.351971i | −0.706212 | − | 0.0355544i | ||||
\(99\) | −10.8976 | + | 0.996040i | −1.09525 | + | 0.100106i | ||||
\(100\) | 2.39397 | + | 4.14647i | 0.239397 | + | 0.414647i | ||||
\(101\) | 13.7558 | 1.36876 | 0.684378 | − | 0.729127i | \(-0.260074\pi\) | ||||
0.684378 | + | 0.729127i | \(0.260074\pi\) | |||||||
\(102\) | −3.48541 | − | 5.44765i | −0.345107 | − | 0.539397i | ||||
\(103\) | 11.1623 | 1.09985 | 0.549925 | − | 0.835214i | \(-0.314656\pi\) | ||||
0.549925 | + | 0.835214i | \(0.314656\pi\) | |||||||
\(104\) | 0.730252 | − | 1.26483i | 0.0716071 | − | 0.124027i | ||||
\(105\) | −1.84874 | − | 1.01761i | −0.180418 | − | 0.0993085i | ||||
\(106\) | 6.21780 | + | 10.7695i | 0.603926 | + | 1.04603i | ||||
\(107\) | −3.89037 | − | 6.73832i | −0.376096 | − | 0.651418i | 0.614394 | − | 0.788999i | \(-0.289400\pi\) |
−0.990490 | + | 0.137581i | \(0.956067\pi\) | |||||||
\(108\) | −3.18716 | − | 4.10390i | −0.306684 | − | 0.394898i | ||||
\(109\) | −3.75729 | + | 6.50783i | −0.359884 | + | 0.623337i | −0.987941 | − | 0.154830i | \(-0.950517\pi\) |
0.628058 | + | 0.778167i | \(0.283850\pi\) | |||||||
\(110\) | −0.839883 | + | 1.45472i | −0.0800797 | + | 0.138702i | ||||
\(111\) | −8.50214 | − | 13.2887i | −0.806987 | − | 1.26131i | ||||
\(112\) | −2.32383 | + | 1.26483i | −0.219581 | + | 0.119516i | ||||
\(113\) | 3.03064 | − | 5.24922i | 0.285099 | − | 0.493805i | −0.687534 | − | 0.726152i | \(-0.741307\pi\) |
0.972633 | + | 0.232346i | \(0.0746403\pi\) | |||||||
\(114\) | 7.01459 | − | 0.319901i | 0.656976 | − | 0.0299614i | ||||
\(115\) | −0.521786 | −0.0486568 | ||||||||
\(116\) | −4.48755 | + | 7.77266i | −0.416658 | + | 0.721673i | ||||
\(117\) | 1.83628 | − | 3.97816i | 0.169765 | − | 0.367781i | ||||
\(118\) | −12.8961 | −1.18718 | ||||||||
\(119\) | −8.67684 | + | 4.72270i | −0.795405 | + | 0.432929i | ||||
\(120\) | −0.796790 | + | 0.0363376i | −0.0727366 | + | 0.00331716i | ||||
\(121\) | 2.30545 | 0.209586 | ||||||||
\(122\) | −6.04163 | − | 10.4644i | −0.546984 | − | 0.947403i | ||||
\(123\) | −0.753696 | + | 1.45472i | −0.0679585 | + | 0.131168i | ||||
\(124\) | 0.257295 | − | 0.445647i | 0.0231057 | − | 0.0400203i | ||||
\(125\) | 4.50739 | 0.403153 | ||||||||
\(126\) | −6.59718 | + | 4.41330i | −0.587723 | + | 0.393168i | ||||
\(127\) | 8.80992 | 0.781754 | 0.390877 | − | 0.920443i | \(-0.372172\pi\) | ||||
0.390877 | + | 0.920443i | \(0.372172\pi\) | |||||||
\(128\) | −0.500000 | + | 0.866025i | −0.0441942 | + | 0.0765466i | ||||
\(129\) | 8.70681 | + | 13.6086i | 0.766592 | + | 1.19817i | ||||
\(130\) | −0.336285 | − | 0.582462i | −0.0294941 | − | 0.0510853i | ||||
\(131\) | 21.1373 | 1.84678 | 0.923389 | − | 0.383865i | \(-0.125407\pi\) | ||||
0.923389 | + | 0.383865i | \(0.125407\pi\) | |||||||
\(132\) | 3.40496 | + | 5.32190i | 0.296364 | + | 0.463212i | ||||
\(133\) | 0.269748 | − | 10.7227i | 0.0233901 | − | 0.929777i | ||||
\(134\) | −2.32023 | −0.200438 | ||||||||
\(135\) | −2.37052 | + | 0.326134i | −0.204022 | + | 0.0280691i | ||||
\(136\) | −1.86693 | + | 3.23361i | −0.160088 | + | 0.277280i | ||||
\(137\) | −4.40642 | −0.376466 | −0.188233 | − | 0.982124i | \(-0.560276\pi\) | ||||
−0.188233 | + | 0.982124i | \(0.560276\pi\) | |||||||
\(138\) | −0.902822 | + | 1.74255i | −0.0768533 | + | 0.148336i | ||||
\(139\) | −1.01245 | + | 1.75362i | −0.0858751 | + | 0.148740i | −0.905764 | − | 0.423783i | \(-0.860702\pi\) |
0.819889 | + | 0.572523i | \(0.194035\pi\) | |||||||
\(140\) | −0.0306407 | + | 1.21800i | −0.00258961 | + | 0.102939i | ||||
\(141\) | −1.85447 | + | 3.57935i | −0.156175 | + | 0.301435i | ||||
\(142\) | −0.839883 | + | 1.45472i | −0.0704815 | + | 0.122077i | ||||
\(143\) | −2.66372 | + | 4.61369i | −0.222751 | + | 0.385816i | ||||
\(144\) | −1.25729 | + | 2.72382i | −0.104775 | + | 0.226985i | ||||
\(145\) | 2.06654 | + | 3.57935i | 0.171617 | + | 0.297249i | ||||
\(146\) | −6.62062 | − | 11.4673i | −0.547927 | − | 0.949037i | ||||
\(147\) | 6.01245 | + | 10.5286i | 0.495899 | + | 0.868380i | ||||
\(148\) | −4.55408 | + | 7.88791i | −0.374343 | + | 0.648382i | ||||
\(149\) | −9.16225 | −0.750601 | −0.375300 | − | 0.926903i | \(-0.622460\pi\) | ||||
−0.375300 | + | 0.926903i | \(0.622460\pi\) | |||||||
\(150\) | 3.81498 | − | 7.36335i | 0.311492 | − | 0.601215i | ||||
\(151\) | −0.103896 | −0.00845496 | −0.00422748 | − | 0.999991i | \(-0.501346\pi\) | ||||
−0.00422748 | + | 0.999991i | \(0.501346\pi\) | |||||||
\(152\) | −2.02704 | − | 3.51094i | −0.164415 | − | 0.284775i | ||||
\(153\) | −4.69455 | + | 10.1703i | −0.379532 | + | 0.822224i | ||||
\(154\) | 8.47656 | − | 4.61369i | 0.683060 | − | 0.371782i | ||||
\(155\) | −0.118485 | − | 0.205223i | −0.00951698 | − | 0.0164839i | ||||
\(156\) | −2.52704 | + | 0.115246i | −0.202325 | + | 0.00922705i | ||||
\(157\) | −10.4911 | − | 18.1712i | −0.837285 | − | 1.45022i | −0.892157 | − | 0.451726i | \(-0.850808\pi\) |
0.0548721 | − | 0.998493i | \(-0.482525\pi\) | |||||||
\(158\) | 2.50360 | + | 4.33636i | 0.199176 | + | 0.344982i | ||||
\(159\) | 9.90856 | − | 19.1247i | 0.785800 | − | 1.51668i | ||||
\(160\) | 0.230252 | + | 0.398809i | 0.0182031 | + | 0.0315286i | ||||
\(161\) | 2.55768 | + | 1.56373i | 0.201574 | + | 0.123239i | ||||
\(162\) | −3.01245 | + | 8.48087i | −0.236681 | + | 0.666320i | ||||
\(163\) | −11.5182 | − | 19.9501i | −0.902174 | − | 1.56261i | −0.824666 | − | 0.565620i | \(-0.808637\pi\) |
−0.0775078 | − | 0.996992i | \(-0.524696\pi\) | |||||||
\(164\) | 0.945916 | 0.0738636 | ||||||||
\(165\) | 2.90642 | − | 0.132547i | 0.226265 | − | 0.0103188i | ||||
\(166\) | −6.64766 | −0.515959 | ||||||||
\(167\) | −5.31498 | + | 9.20581i | −0.411285 | + | 0.712367i | −0.995031 | − | 0.0995698i | \(-0.968253\pi\) |
0.583745 | + | 0.811937i | \(0.301587\pi\) | |||||||
\(168\) | 4.01459 | + | 2.20977i | 0.309732 | + | 0.170487i | ||||
\(169\) | 5.43346 | + | 9.41103i | 0.417959 | + | 0.723926i | ||||
\(170\) | 0.859728 | + | 1.48909i | 0.0659382 | + | 0.114208i | ||||
\(171\) | −7.01459 | − | 9.93559i | −0.536419 | − | 0.759793i | ||||
\(172\) | 4.66372 | − | 8.07779i | 0.355605 | − | 0.615926i | ||||
\(173\) | −1.46936 | + | 2.54500i | −0.111713 | + | 0.193493i | −0.916461 | − | 0.400124i | \(-0.868967\pi\) |
0.804748 | + | 0.593617i | \(0.202301\pi\) | |||||||
\(174\) | 15.5292 | − | 0.708209i | 1.17726 | − | 0.0536892i | ||||
\(175\) | −10.8078 | − | 6.60773i | −0.816991 | − | 0.499498i | ||||
\(176\) | 1.82383 | − | 3.15897i | 0.137476 | − | 0.238116i | ||||
\(177\) | 12.0380 | + | 18.8153i | 0.904834 | + | 1.41424i | ||||
\(178\) | 2.72665 | 0.204371 | ||||||||
\(179\) | −4.58113 | + | 7.93474i | −0.342409 | + | 0.593071i | −0.984880 | − | 0.173240i | \(-0.944576\pi\) |
0.642470 | + | 0.766311i | \(0.277910\pi\) | |||||||
\(180\) | 0.796790 | + | 1.12859i | 0.0593892 | + | 0.0841199i | ||||
\(181\) | 22.4284 | 1.66709 | 0.833545 | − | 0.552452i | \(-0.186308\pi\) | ||||
0.833545 | + | 0.552452i | \(0.186308\pi\) | |||||||
\(182\) | −0.0971780 | + | 3.86291i | −0.00720331 | + | 0.286338i | ||||
\(183\) | −9.62782 | + | 18.5828i | −0.711709 | + | 1.37368i | ||||
\(184\) | 1.13307 | 0.0835314 | ||||||||
\(185\) | 2.09718 | + | 3.63242i | 0.154188 | + | 0.267061i | ||||
\(186\) | −0.890369 | + | 0.0406053i | −0.0652850 | + | 0.00297733i | ||||
\(187\) | 6.80992 | − | 11.7951i | 0.497990 | − | 0.862545i | ||||
\(188\) | 2.32743 | 0.169745 | ||||||||
\(189\) | 12.5972 | + | 5.50555i | 0.916310 | + | 0.400470i | ||||
\(190\) | −1.86693 | −0.135441 | ||||||||
\(191\) | −1.24484 | + | 2.15613i | −0.0900736 | + | 0.156012i | −0.907542 | − | 0.419962i | \(-0.862044\pi\) |
0.817468 | + | 0.575974i | \(0.195377\pi\) | |||||||
\(192\) | 1.73025 | − | 0.0789082i | 0.124870 | − | 0.00569471i | ||||
\(193\) | −2.24484 | − | 3.88818i | −0.161587 | − | 0.279877i | 0.773851 | − | 0.633368i | \(-0.218328\pi\) |
−0.935438 | + | 0.353491i | \(0.884995\pi\) | |||||||
\(194\) | 11.1872 | 0.803191 | ||||||||
\(195\) | −0.535897 | + | 1.03434i | −0.0383763 | + | 0.0740708i | ||||
\(196\) | 3.80039 | − | 5.87852i | 0.271456 | − | 0.419895i | ||||
\(197\) | 12.7339 | 0.907249 | 0.453625 | − | 0.891193i | \(-0.350131\pi\) | ||||
0.453625 | + | 0.891193i | \(0.350131\pi\) | |||||||
\(198\) | 4.58619 | − | 9.93559i | 0.325926 | − | 0.706092i | ||||
\(199\) | −1.47296 | + | 2.55124i | −0.104415 | + | 0.180852i | −0.913499 | − | 0.406841i | \(-0.866630\pi\) |
0.809084 | + | 0.587693i | \(0.199964\pi\) | |||||||
\(200\) | −4.78794 | −0.338558 | ||||||||
\(201\) | 2.16585 | + | 3.38519i | 0.152767 | + | 0.238773i | ||||
\(202\) | −6.87792 | + | 11.9129i | −0.483928 | + | 0.838189i | ||||
\(203\) | 0.597178 | − | 23.7384i | 0.0419137 | − | 1.66611i | ||||
\(204\) | 6.46050 | − | 0.294632i | 0.452326 | − | 0.0206283i | ||||
\(205\) | 0.217799 | − | 0.377240i | 0.0152118 | − | 0.0263476i | ||||
\(206\) | −5.58113 | + | 9.66679i | −0.388855 | + | 0.673517i | ||||
\(207\) | 3.38511 | − | 0.309400i | 0.235282 | − | 0.0215048i | ||||
\(208\) | 0.730252 | + | 1.26483i | 0.0506339 | + | 0.0877005i | ||||
\(209\) | 7.39397 | + | 12.8067i | 0.511451 | + | 0.885860i | ||||
\(210\) | 1.80564 | − | 1.09225i | 0.124601 | − | 0.0753724i | ||||
\(211\) | −0.608168 | + | 1.05338i | −0.0418680 | + | 0.0725176i | −0.886200 | − | 0.463303i | \(-0.846664\pi\) |
0.844332 | + | 0.535820i | \(0.179998\pi\) | |||||||
\(212\) | −12.4356 | −0.854080 | ||||||||
\(213\) | 2.90642 | − | 0.132547i | 0.199145 | − | 0.00908200i | ||||
\(214\) | 7.78074 | 0.531880 | ||||||||
\(215\) | −2.14766 | − | 3.71986i | −0.146469 | − | 0.253693i | ||||
\(216\) | 5.14766 | − | 0.708209i | 0.350254 | − | 0.0481875i | ||||
\(217\) | −0.0342393 | + | 1.36104i | −0.00232432 | + | 0.0923937i | ||||
\(218\) | −3.75729 | − | 6.50783i | −0.254476 | − | 0.440766i | ||||
\(219\) | −10.5505 | + | 20.3637i | −0.712936 | + | 1.37605i | ||||
\(220\) | −0.839883 | − | 1.45472i | −0.0566249 | − | 0.0980773i | ||||
\(221\) | 2.72665 | + | 4.72270i | 0.183415 | + | 0.317683i | ||||
\(222\) | 15.7594 | − | 0.718710i | 1.05770 | − | 0.0482366i | ||||
\(223\) | −0.445916 | − | 0.772349i | −0.0298607 | − | 0.0517203i | 0.850709 | − | 0.525637i | \(-0.176173\pi\) |
−0.880570 | + | 0.473917i | \(0.842840\pi\) | |||||||
\(224\) | 0.0665372 | − | 2.64491i | 0.00444571 | − | 0.176721i | ||||
\(225\) | −14.3042 | + | 1.30740i | −0.953612 | + | 0.0871603i | ||||
\(226\) | 3.03064 | + | 5.24922i | 0.201595 | + | 0.349173i | ||||
\(227\) | −14.6519 | −0.972483 | −0.486242 | − | 0.873824i | \(-0.661632\pi\) | ||||
−0.486242 | + | 0.873824i | \(0.661632\pi\) | |||||||
\(228\) | −3.23025 | + | 6.23476i | −0.213929 | + | 0.412907i | ||||
\(229\) | −9.57587 | −0.632791 | −0.316396 | − | 0.948627i | \(-0.602473\pi\) | ||||
−0.316396 | + | 0.948627i | \(0.602473\pi\) | |||||||
\(230\) | 0.260893 | − | 0.451880i | 0.0172028 | − | 0.0297961i | ||||
\(231\) | −14.6439 | − | 8.06049i | −0.963496 | − | 0.530341i | ||||
\(232\) | −4.48755 | − | 7.77266i | −0.294622 | − | 0.510300i | ||||
\(233\) | 7.21420 | + | 12.4954i | 0.472618 | + | 0.818598i | 0.999509 | − | 0.0313345i | \(-0.00997571\pi\) |
−0.526891 | + | 0.849933i | \(0.676642\pi\) | |||||||
\(234\) | 2.52704 | + | 3.57935i | 0.165198 | + | 0.233989i | ||||
\(235\) | 0.535897 | − | 0.928200i | 0.0349580 | − | 0.0605491i | ||||
\(236\) | 6.44805 | − | 11.1684i | 0.419732 | − | 0.726998i | ||||
\(237\) | 3.98968 | − | 7.70055i | 0.259158 | − | 0.500205i | ||||
\(238\) | 0.248440 | − | 9.87572i | 0.0161040 | − | 0.640148i | ||||
\(239\) | −9.15486 | + | 15.8567i | −0.592179 | + | 1.02568i | 0.401760 | + | 0.915745i | \(0.368399\pi\) |
−0.993938 | + | 0.109938i | \(0.964935\pi\) | |||||||
\(240\) | 0.366926 | − | 0.708209i | 0.0236849 | − | 0.0457147i | ||||
\(241\) | 0.0933847 | 0.00601544 | 0.00300772 | − | 0.999995i | \(-0.499043\pi\) | ||||
0.00300772 | + | 0.999995i | \(0.499043\pi\) | |||||||
\(242\) | −1.15272 | + | 1.99658i | −0.0741000 | + | 0.128345i | ||||
\(243\) | 15.1855 | − | 3.52144i | 0.974150 | − | 0.225901i | ||||
\(244\) | 12.0833 | 0.773552 | ||||||||
\(245\) | −1.46936 | − | 2.86917i | −0.0938739 | − | 0.183305i | ||||
\(246\) | −0.882977 | − | 1.38008i | −0.0562966 | − | 0.0879907i | ||||
\(247\) | −5.92101 | −0.376745 | ||||||||
\(248\) | 0.257295 | + | 0.445647i | 0.0163382 | + | 0.0282986i | ||||
\(249\) | 6.20535 | + | 9.69886i | 0.393248 | + | 0.614641i | ||||
\(250\) | −2.25370 | + | 3.90352i | −0.142536 | + | 0.246880i | ||||
\(251\) | −18.2733 | −1.15340 | −0.576702 | − | 0.816955i | \(-0.695661\pi\) | ||||
−0.576702 | + | 0.816955i | \(0.695661\pi\) | |||||||
\(252\) | −0.523443 | − | 7.91998i | −0.0329738 | − | 0.498912i | ||||
\(253\) | −4.13307 | −0.259844 | ||||||||
\(254\) | −4.40496 | + | 7.62961i | −0.276392 | + | 0.478724i | ||||
\(255\) | 1.37005 | − | 2.64435i | 0.0857956 | − | 0.165595i | ||||
\(256\) | −0.500000 | − | 0.866025i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | −21.0512 | −1.31314 | −0.656568 | − | 0.754267i | \(-0.727992\pi\) | ||||
−0.656568 | + | 0.754267i | \(0.727992\pi\) | |||||||
\(258\) | −16.1388 | + | 0.736011i | −1.00476 | + | 0.0458221i | ||||
\(259\) | 0.606032 | − | 24.0903i | 0.0376570 | − | 1.49690i | ||||
\(260\) | 0.672570 | 0.0417110 | ||||||||
\(261\) | −15.5292 | − | 21.9958i | −0.961232 | − | 1.36151i | ||||
\(262\) | −10.5687 | + | 18.3055i | −0.652935 | + | 1.13092i | ||||
\(263\) | −5.16518 | −0.318499 | −0.159249 | − | 0.987238i | \(-0.550907\pi\) | ||||
−0.159249 | + | 0.987238i | \(0.550907\pi\) | |||||||
\(264\) | −6.31138 | + | 0.287831i | −0.388439 | + | 0.0177148i | ||||
\(265\) | −2.86333 | + | 4.95943i | −0.175893 | + | 0.304655i | ||||
\(266\) | 9.15126 | + | 5.59496i | 0.561100 | + | 0.343049i | ||||
\(267\) | −2.54523 | − | 3.97816i | −0.155766 | − | 0.243459i | ||||
\(268\) | 1.16012 | − | 2.00938i | 0.0708654 | − | 0.122742i | ||||
\(269\) | 8.42840 | − | 14.5984i | 0.513889 | − | 0.890081i | −0.485981 | − | 0.873969i | \(-0.661538\pi\) |
0.999870 | − | 0.0161123i | \(-0.00512891\pi\) | |||||||
\(270\) | 0.902822 | − | 2.21600i | 0.0549440 | − | 0.134862i | ||||
\(271\) | 12.5562 | + | 21.7480i | 0.762736 | + | 1.32110i | 0.941435 | + | 0.337194i | \(0.109478\pi\) |
−0.178699 | + | 0.983904i | \(0.557189\pi\) | |||||||
\(272\) | −1.86693 | − | 3.23361i | −0.113199 | − | 0.196066i | ||||
\(273\) | 5.72665 | − | 3.46410i | 0.346593 | − | 0.209657i | ||||
\(274\) | 2.20321 | − | 3.81607i | 0.133101 | − | 0.230537i | ||||
\(275\) | 17.4648 | 1.05317 | ||||||||
\(276\) | −1.05768 | − | 1.65314i | −0.0636650 | − | 0.0995075i | ||||
\(277\) | 3.38151 | 0.203176 | 0.101588 | − | 0.994827i | \(-0.467608\pi\) | ||||
0.101588 | + | 0.994827i | \(0.467608\pi\) | |||||||
\(278\) | −1.01245 | − | 1.75362i | −0.0607229 | − | 0.105175i | ||||
\(279\) | 0.890369 | + | 1.26113i | 0.0533050 | + | 0.0755022i | ||||
\(280\) | −1.03950 | − | 0.635534i | −0.0621217 | − | 0.0379804i | ||||
\(281\) | −10.1388 | − | 17.5609i | −0.604831 | − | 1.04760i | −0.992078 | − | 0.125622i | \(-0.959907\pi\) |
0.387248 | − | 0.921976i | \(-0.373426\pi\) | |||||||
\(282\) | −2.17257 | − | 3.39569i | −0.129375 | − | 0.202211i | ||||
\(283\) | −8.67471 | − | 15.0250i | −0.515658 | − | 0.893145i | −0.999835 | − | 0.0181754i | \(-0.994214\pi\) |
0.484177 | − | 0.874970i | \(-0.339119\pi\) | |||||||
\(284\) | −0.839883 | − | 1.45472i | −0.0498379 | − | 0.0863218i | ||||
\(285\) | 1.74271 | + | 2.72382i | 0.103229 | + | 0.161345i | ||||
\(286\) | −2.66372 | − | 4.61369i | −0.157509 | − | 0.272813i | ||||
\(287\) | −2.19815 | + | 1.19643i | −0.129753 | + | 0.0706228i | ||||
\(288\) | −1.73025 | − | 2.45076i | −0.101956 | − | 0.144412i | ||||
\(289\) | 1.52918 | + | 2.64861i | 0.0899517 | + | 0.155801i | ||||
\(290\) | −4.13307 | −0.242702 | ||||||||
\(291\) | −10.4428 | − | 16.3219i | −0.612168 | − | 0.956809i | ||||
\(292\) | 13.2412 | 0.774885 | ||||||||
\(293\) | −4.93560 | + | 8.54871i | −0.288341 | + | 0.499421i | −0.973414 | − | 0.229054i | \(-0.926437\pi\) |
0.685073 | + | 0.728474i | \(0.259770\pi\) | |||||||
\(294\) | −12.1242 | − | 0.0573390i | −0.707099 | − | 0.00334408i | ||||
\(295\) | −2.96936 | − | 5.14308i | −0.172883 | − | 0.299442i | ||||
\(296\) | −4.55408 | − | 7.88791i | −0.264701 | − | 0.458475i | ||||
\(297\) | −18.7769 | + | 2.58331i | −1.08955 | + | 0.149899i | ||||
\(298\) | 4.58113 | − | 7.93474i | 0.265378 | − | 0.459647i | ||||
\(299\) | 0.827430 | − | 1.43315i | 0.0478515 | − | 0.0828813i | ||||
\(300\) | 4.46936 | + | 6.98554i | 0.258039 | + | 0.403310i | ||||
\(301\) | −0.620621 | + | 24.6703i | −0.0357720 | + | 1.42197i | ||||
\(302\) | 0.0519482 | − | 0.0899768i | 0.00298928 | − | 0.00517759i | ||||
\(303\) | 23.8011 | − | 1.08545i | 1.36734 | − | 0.0623574i | ||||
\(304\) | 4.05408 | 0.232518 | ||||||||
\(305\) | 2.78220 | − | 4.81891i | 0.159308 | − | 0.275930i | ||||
\(306\) | −6.46050 | − | 9.15077i | −0.369322 | − | 0.523115i | ||||
\(307\) | 7.78794 | 0.444481 | 0.222240 | − | 0.974992i | \(-0.428663\pi\) | ||||
0.222240 | + | 0.974992i | \(0.428663\pi\) | |||||||
\(308\) | −0.242705 | + | 9.64776i | −0.0138294 | + | 0.549732i | ||||
\(309\) | 19.3135 | − | 0.880794i | 1.09871 | − | 0.0501066i | ||||
\(310\) | 0.236971 | 0.0134590 | ||||||||
\(311\) | −7.70535 | − | 13.3461i | −0.436930 | − | 0.756785i | 0.560521 | − | 0.828140i | \(-0.310601\pi\) |
−0.997451 | + | 0.0713552i | \(0.977268\pi\) | |||||||
\(312\) | 1.16372 | − | 2.24611i | 0.0658824 | − | 0.127161i | ||||
\(313\) | −4.24844 | + | 7.35851i | −0.240136 | + | 0.415928i | −0.960753 | − | 0.277406i | \(-0.910525\pi\) |
0.720617 | + | 0.693334i | \(0.243859\pi\) | |||||||
\(314\) | 20.9823 | 1.18410 | ||||||||
\(315\) | −3.27908 | − | 1.61484i | −0.184755 | − | 0.0909859i | ||||
\(316\) | −5.00720 | −0.281677 | ||||||||
\(317\) | 7.05262 | − | 12.2155i | 0.396115 | − | 0.686091i | −0.597128 | − | 0.802146i | \(-0.703692\pi\) |
0.993243 | + | 0.116055i | \(0.0370249\pi\) | |||||||
\(318\) | 11.6082 | + | 18.1434i | 0.650954 | + | 1.01743i | ||||
\(319\) | 16.3691 | + | 28.3520i | 0.916491 | + | 1.58741i | ||||
\(320\) | −0.460505 | −0.0257430 | ||||||||
\(321\) | −7.26303 | − | 11.3520i | −0.405383 | − | 0.633607i | ||||
\(322\) | −2.63307 | + | 1.43315i | −0.146736 | + | 0.0798664i | ||||
\(323\) | 15.1373 | 0.842264 | ||||||||
\(324\) | −5.83842 | − | 6.84929i | −0.324357 | − | 0.380516i | ||||
\(325\) | −3.49640 | + | 6.05594i | −0.193945 | + | 0.335923i | ||||
\(326\) | 23.0364 | 1.27587 | ||||||||
\(327\) | −5.98755 | + | 11.5567i | −0.331112 | + | 0.639085i | ||||
\(328\) | −0.472958 | + | 0.819187i | −0.0261147 | + | 0.0452320i | ||||
\(329\) | −5.40856 | + | 2.94381i | −0.298183 | + | 0.162298i | ||||
\(330\) | −1.33842 | + | 2.58331i | −0.0736776 | + | 0.142206i | ||||
\(331\) | −13.7719 | + | 23.8536i | −0.756971 | + | 1.31111i | 0.187417 | + | 0.982280i | \(0.439988\pi\) |
−0.944388 | + | 0.328832i | \(0.893345\pi\) | |||||||
\(332\) | 3.32383 | − | 5.75705i | 0.182419 | − | 0.315959i | ||||
\(333\) | −15.7594 | − | 22.3219i | −0.863611 | − | 1.22323i | ||||
\(334\) | −5.31498 | − | 9.20581i | −0.290823 | − | 0.503720i | ||||
\(335\) | −0.534239 | − | 0.925330i | −0.0291886 | − | 0.0505562i | ||||
\(336\) | −3.92101 | + | 2.37185i | −0.213909 | + | 0.129395i | ||||
\(337\) | 0.748440 | − | 1.29634i | 0.0407701 | − | 0.0706159i | −0.844920 | − | 0.534892i | \(-0.820352\pi\) |
0.885690 | + | 0.464276i | \(0.153686\pi\) | |||||||
\(338\) | −10.8669 | −0.591083 | ||||||||
\(339\) | 4.82957 | − | 9.32162i | 0.262306 | − | 0.506281i | ||||
\(340\) | −1.71946 | −0.0932506 | ||||||||
\(341\) | −0.938524 | − | 1.62557i | −0.0508239 | − | 0.0880296i | ||||
\(342\) | 12.1118 | − | 1.10702i | 0.654929 | − | 0.0598607i | ||||
\(343\) | −1.39610 | + | 18.4676i | −0.0753825 | + | 0.997155i | ||||
\(344\) | 4.66372 | + | 8.07779i | 0.251451 | + | 0.435525i | ||||
\(345\) | −0.902822 | + | 0.0411732i | −0.0486063 | + | 0.00221669i | ||||
\(346\) | −1.46936 | − | 2.54500i | −0.0789932 | − | 0.136820i | ||||
\(347\) | 9.14406 | + | 15.8380i | 0.490879 | + | 0.850228i | 0.999945 | − | 0.0105001i | \(-0.00334233\pi\) |
−0.509066 | + | 0.860728i | \(0.670009\pi\) | |||||||
\(348\) | −7.15126 | + | 13.8028i | −0.383348 | + | 0.739906i | ||||
\(349\) | −3.90136 | − | 6.75735i | −0.208835 | − | 0.361713i | 0.742513 | − | 0.669832i | \(-0.233634\pi\) |
−0.951348 | + | 0.308119i | \(0.900300\pi\) | |||||||
\(350\) | 11.1264 | − | 6.05594i | 0.594729 | − | 0.323704i | ||||
\(351\) | 2.86333 | − | 7.02811i | 0.152833 | − | 0.375133i | ||||
\(352\) | 1.82383 | + | 3.15897i | 0.0972106 | + | 0.168374i | ||||
\(353\) | 26.9253 | 1.43309 | 0.716544 | − | 0.697542i | \(-0.245723\pi\) | ||||
0.716544 | + | 0.697542i | \(0.245723\pi\) | |||||||
\(354\) | −22.3135 | + | 1.01761i | −1.18595 | + | 0.0540853i | ||||
\(355\) | −0.773541 | −0.0410553 | ||||||||
\(356\) | −1.36333 | + | 2.36135i | −0.0722562 | + | 0.125151i | ||||
\(357\) | −14.6405 | + | 8.85614i | −0.774856 | + | 0.468717i | ||||
\(358\) | −4.58113 | − | 7.93474i | −0.242120 | − | 0.419364i | ||||
\(359\) | −3.13161 | − | 5.42411i | −0.165280 | − | 0.286274i | 0.771475 | − | 0.636260i | \(-0.219519\pi\) |
−0.936755 | + | 0.349987i | \(0.886186\pi\) | |||||||
\(360\) | −1.37578 | + | 0.125747i | −0.0725100 | + | 0.00662743i | ||||
\(361\) | 1.28220 | − | 2.22084i | 0.0674842 | − | 0.116886i | ||||
\(362\) | −11.2142 | + | 19.4236i | −0.589405 | + | 1.02088i | ||||
\(363\) | 3.98901 | − | 0.181919i | 0.209369 | − | 0.00954827i | ||||
\(364\) | −3.29679 | − | 2.01561i | −0.172799 | − | 0.105647i | ||||
\(365\) | 3.04883 | − | 5.28073i | 0.159583 | − | 0.276406i | ||||
\(366\) | −11.2793 | − | 17.6293i | −0.589577 | − | 0.921500i | ||||
\(367\) | 29.2733 | 1.52806 | 0.764028 | − | 0.645183i | \(-0.223219\pi\) | ||||
0.764028 | + | 0.645183i | \(0.223219\pi\) | |||||||
\(368\) | −0.566537 | + | 0.981271i | −0.0295328 | + | 0.0511523i | ||||
\(369\) | −1.18929 | + | 2.57651i | −0.0619122 | + | 0.134128i | ||||
\(370\) | −4.19436 | −0.218054 | ||||||||
\(371\) | 28.8982 | − | 15.7290i | 1.50032 | − | 0.816608i | ||||
\(372\) | 0.410019 | − | 0.791385i | 0.0212585 | − | 0.0410314i | ||||
\(373\) | 17.8597 | 0.924742 | 0.462371 | − | 0.886687i | \(-0.346999\pi\) | ||||
0.462371 | + | 0.886687i | \(0.346999\pi\) | |||||||
\(374\) | 6.80992 | + | 11.7951i | 0.352132 | + | 0.609911i | ||||
\(375\) | 7.79893 | − | 0.355670i | 0.402735 | − | 0.0183667i | ||||
\(376\) | −1.16372 | + | 2.01561i | −0.0600140 | + | 0.103947i | ||||
\(377\) | −13.1082 | −0.675105 | ||||||||
\(378\) | −11.0665 | + | 8.15670i | −0.569201 | + | 0.419535i | ||||
\(379\) | −22.4255 | −1.15192 | −0.575960 | − | 0.817478i | \(-0.695371\pi\) | ||||
−0.575960 | + | 0.817478i | \(0.695371\pi\) | |||||||
\(380\) | 0.933463 | − | 1.61680i | 0.0478856 | − | 0.0829403i | ||||
\(381\) | 15.2434 | − | 0.695175i | 0.780942 | − | 0.0356149i | ||||
\(382\) | −1.24484 | − | 2.15613i | −0.0636916 | − | 0.110317i | ||||
\(383\) | −14.1403 | −0.722534 | −0.361267 | − | 0.932462i | \(-0.617656\pi\) | ||||
−0.361267 | + | 0.932462i | \(0.617656\pi\) | |||||||
\(384\) | −0.796790 | + | 1.53790i | −0.0406610 | + | 0.0784805i | ||||
\(385\) | 3.79173 | + | 2.31821i | 0.193244 | + | 0.118147i | ||||
\(386\) | 4.48968 | 0.228519 | ||||||||
\(387\) | 16.1388 | + | 22.8593i | 0.820382 | + | 1.16200i | ||||
\(388\) | −5.59358 | + | 9.68836i | −0.283971 | + | 0.491852i | ||||
\(389\) | −23.1301 | −1.17275 | −0.586373 | − | 0.810041i | \(-0.699445\pi\) | ||||
−0.586373 | + | 0.810041i | \(0.699445\pi\) | |||||||
\(390\) | −0.627819 | − | 0.981271i | −0.0317908 | − | 0.0496886i | ||||
\(391\) | −2.11537 | + | 3.66392i | −0.106979 | + | 0.185292i | ||||
\(392\) | 3.19076 | + | 6.23049i | 0.161158 | + | 0.314688i | ||||
\(393\) | 36.5729 | − | 1.66791i | 1.84486 | − | 0.0841350i | ||||
\(394\) | −6.36693 | + | 11.0278i | −0.320761 | + | 0.555574i | ||||
\(395\) | −1.15292 | + | 1.99691i | −0.0580097 | + | 0.100476i | ||||
\(396\) | 6.31138 | + | 8.93955i | 0.317159 | + | 0.449229i | ||||
\(397\) | −5.13307 | − | 8.89075i | −0.257622 | − | 0.446214i | 0.707983 | − | 0.706230i | \(-0.249605\pi\) |
−0.965604 | + | 0.260016i | \(0.916272\pi\) | |||||||
\(398\) | −1.47296 | − | 2.55124i | −0.0738327 | − | 0.127882i | ||||
\(399\) | −0.379379 | − | 18.5743i | −0.0189927 | − | 0.929877i | ||||
\(400\) | 2.39397 | − | 4.14647i | 0.119698 | − | 0.207324i | ||||
\(401\) | 34.0335 | 1.69955 | 0.849775 | − | 0.527146i | \(-0.176738\pi\) | ||||
0.849775 | + | 0.527146i | \(0.176738\pi\) | |||||||
\(402\) | −4.01459 | + | 0.183086i | −0.200230 | + | 0.00913148i | ||||
\(403\) | 0.751560 | 0.0374379 | ||||||||
\(404\) | −6.87792 | − | 11.9129i | −0.342189 | − | 0.592689i | ||||
\(405\) | −4.07587 | + | 0.751347i | −0.202532 | + | 0.0373348i | ||||
\(406\) | 20.2594 | + | 12.3863i | 1.00546 | + | 0.614724i | ||||
\(407\) | 16.6118 | + | 28.7724i | 0.823415 | + | 1.42620i | ||||
\(408\) | −2.97509 | + | 5.74228i | −0.147289 | + | 0.284285i | ||||
\(409\) | 1.74484 | + | 3.02215i | 0.0862769 | + | 0.149436i | 0.905935 | − | 0.423418i | \(-0.139170\pi\) |
−0.819658 | + | 0.572854i | \(0.805836\pi\) | |||||||
\(410\) | 0.217799 | + | 0.377240i | 0.0107563 | + | 0.0186305i | ||||
\(411\) | −7.62422 | + | 0.347703i | −0.376075 | + | 0.0171509i | ||||
\(412\) | −5.58113 | − | 9.66679i | −0.274962 | − | 0.476249i | ||||
\(413\) | −0.858071 | + | 34.1091i | −0.0422229 | + | 1.67840i | ||||
\(414\) | −1.42461 | + | 3.08629i | −0.0700157 | + | 0.151683i | ||||
\(415\) | −1.53064 | − | 2.65115i | −0.0751362 | − | 0.130140i | ||||
\(416\) | −1.46050 | −0.0716071 | ||||||||
\(417\) | −1.61342 | + | 3.11410i | −0.0790097 | + | 0.152498i | ||||
\(418\) | −14.7879 | −0.723302 | ||||||||
\(419\) | 14.4897 | − | 25.0969i | 0.707867 | − | 1.22606i | −0.257779 | − | 0.966204i | \(-0.582991\pi\) |
0.965647 | − | 0.259858i | \(-0.0836759\pi\) | |||||||
\(420\) | 0.0430937 | + | 2.10986i | 0.00210276 | + | 0.102951i | ||||
\(421\) | −1.06128 | − | 1.83819i | −0.0517237 | − | 0.0895881i | 0.839004 | − | 0.544125i | \(-0.183138\pi\) |
−0.890728 | + | 0.454537i | \(0.849805\pi\) | |||||||
\(422\) | −0.608168 | − | 1.05338i | −0.0296052 | − | 0.0512777i | ||||
\(423\) | −2.92627 | + | 6.33951i | −0.142280 | + | 0.308237i | ||||
\(424\) | 6.21780 | − | 10.7695i | 0.301963 | − | 0.523015i | ||||
\(425\) | 8.93872 | − | 15.4823i | 0.433592 | − | 0.751003i | ||||
\(426\) | −1.33842 | + | 2.58331i | −0.0648467 | + | 0.125162i | ||||
\(427\) | −28.0795 | + | 15.2833i | −1.35886 | + | 0.739612i | ||||
\(428\) | −3.89037 | + | 6.73832i | −0.188048 | + | 0.325709i | ||||
\(429\) | −4.24484 | + | 8.19304i | −0.204943 | + | 0.395564i | ||||
\(430\) | 4.29533 | 0.207139 | ||||||||
\(431\) | 10.9356 | − | 18.9410i | 0.526749 | − | 0.912356i | −0.472765 | − | 0.881189i | \(-0.656744\pi\) |
0.999514 | − | 0.0311679i | \(-0.00992265\pi\) | |||||||
\(432\) | −1.96050 | + | 4.81211i | −0.0943248 | + | 0.231523i | ||||
\(433\) | −13.0512 | −0.627199 | −0.313599 | − | 0.949555i | \(-0.601535\pi\) | ||||
−0.313599 | + | 0.949555i | \(0.601535\pi\) | |||||||
\(434\) | −1.16158 | − | 0.710174i | −0.0557576 | − | 0.0340895i | ||||
\(435\) | 3.85807 | + | 6.03011i | 0.184980 | + | 0.289122i | ||||
\(436\) | 7.51459 | 0.359884 | ||||||||
\(437\) | −2.29679 | − | 3.97816i | −0.109870 | − | 0.190301i | ||||
\(438\) | −12.3602 | − | 19.3188i | −0.590594 | − | 0.923089i | ||||
\(439\) | −2.43200 | + | 4.21235i | −0.116073 | + | 0.201044i | −0.918208 | − | 0.396098i | \(-0.870364\pi\) |
0.802135 | + | 0.597143i | \(0.203697\pi\) | |||||||
\(440\) | 1.67977 | 0.0800797 | ||||||||
\(441\) | 11.2339 | + | 17.7426i | 0.534945 | + | 0.844887i | ||||
\(442\) | −5.45331 | −0.259387 | ||||||||
\(443\) | 5.76975 | − | 9.99350i | 0.274129 | − | 0.474805i | −0.695786 | − | 0.718249i | \(-0.744944\pi\) |
0.969915 | + | 0.243444i | \(0.0782771\pi\) | |||||||
\(444\) | −7.25729 | + | 14.0074i | −0.344416 | + | 0.664763i | ||||
\(445\) | 0.627819 | + | 1.08741i | 0.0297615 | + | 0.0515484i | ||||
\(446\) | 0.891832 | 0.0422294 | ||||||||
\(447\) | −15.8530 | + | 0.722977i | −0.749822 | + | 0.0341957i | ||||
\(448\) | 2.25729 | + | 1.38008i | 0.106647 | + | 0.0652027i | ||||
\(449\) | −26.4251 | −1.24708 | −0.623538 | − | 0.781793i | \(-0.714306\pi\) | ||||
−0.623538 | + | 0.781793i | \(0.714306\pi\) | |||||||
\(450\) | 6.01984 | − | 13.0415i | 0.283778 | − | 0.614782i | ||||
\(451\) | 1.72519 | − | 2.98812i | 0.0812361 | − | 0.140705i | ||||
\(452\) | −6.06128 | −0.285099 | ||||||||
\(453\) | −0.179767 | + | 0.00819828i | −0.00844618 | + | 0.000385189i | ||||
\(454\) | 7.32597 | − | 12.6889i | 0.343825 | − | 0.595522i | ||||
\(455\) | −1.56294 | + | 0.850689i | −0.0732717 | + | 0.0398809i | ||||
\(456\) | −3.78434 | − | 5.91486i | −0.177218 | − | 0.276989i | ||||
\(457\) | 1.86906 | − | 3.23731i | 0.0874310 | − | 0.151435i | −0.818994 | − | 0.573803i | \(-0.805468\pi\) |
0.906425 | + | 0.422368i | \(0.138801\pi\) | |||||||
\(458\) | 4.78794 | − | 8.29295i | 0.223726 | − | 0.387504i | ||||
\(459\) | −7.32023 | + | 17.9677i | −0.341679 | + | 0.838661i | ||||
\(460\) | 0.260893 | + | 0.451880i | 0.0121642 | + | 0.0210690i | ||||
\(461\) | −7.90496 | − | 13.6918i | −0.368171 | − | 0.637690i | 0.621109 | − | 0.783724i | \(-0.286682\pi\) |
−0.989280 | + | 0.146034i | \(0.953349\pi\) | |||||||
\(462\) | 14.3025 | − | 8.65172i | 0.665414 | − | 0.402514i | ||||
\(463\) | 19.1965 | − | 33.2493i | 0.892137 | − | 1.54523i | 0.0548278 | − | 0.998496i | \(-0.482539\pi\) |
0.837309 | − | 0.546730i | \(-0.184128\pi\) | |||||||
\(464\) | 8.97509 | 0.416658 | ||||||||
\(465\) | −0.221203 | − | 0.345738i | −0.0102581 | − | 0.0160332i | ||||
\(466\) | −14.4284 | −0.668383 | ||||||||
\(467\) | 3.15652 | + | 5.46725i | 0.146066 | + | 0.252994i | 0.929770 | − | 0.368140i | \(-0.120005\pi\) |
−0.783704 | + | 0.621134i | \(0.786672\pi\) | |||||||
\(468\) | −4.36333 | + | 0.398809i | −0.201695 | + | 0.0184349i | ||||
\(469\) | −0.154382 | + | 6.13682i | −0.00712869 | + | 0.283372i | ||||
\(470\) | 0.535897 | + | 0.928200i | 0.0247191 | + | 0.0428147i | ||||
\(471\) | −19.5862 | − | 30.6129i | −0.902484 | − | 1.41057i | ||||
\(472\) | 6.44805 | + | 11.1684i | 0.296796 | + | 0.514065i | ||||
\(473\) | −17.0117 | − | 29.4651i | −0.782197 | − | 1.35481i | ||||
\(474\) | 4.67403 | + | 7.30544i | 0.214685 | + | 0.335550i | ||||
\(475\) | 9.70535 | + | 16.8102i | 0.445312 | + | 0.771303i | ||||
\(476\) | 8.42840 | + | 5.15301i | 0.386315 | + | 0.236188i | ||||
\(477\) | 15.6352 | − | 33.8724i | 0.715887 | − | 1.55091i | ||||
\(478\) | −9.15486 | − | 15.8567i | −0.418734 | − | 0.725268i | ||||
\(479\) | −20.4136 | −0.932722 | −0.466361 | − | 0.884594i | \(-0.654435\pi\) | ||||
−0.466361 | + | 0.884594i | \(0.654435\pi\) | |||||||
\(480\) | 0.429864 | + | 0.671871i | 0.0196205 | + | 0.0306666i | ||||
\(481\) | −13.3025 | −0.606543 | ||||||||
\(482\) | −0.0466924 | + | 0.0808735i | −0.00212678 | + | 0.00368369i | ||||
\(483\) | 4.54883 | + | 2.50383i | 0.206979 | + | 0.113928i | ||||
\(484\) | −1.15272 | − | 1.99658i | −0.0523966 | − | 0.0907535i | ||||
\(485\) | 2.57587 | + | 4.46154i | 0.116964 | + | 0.202588i | ||||
\(486\) | −4.54309 | + | 14.9118i | −0.206079 | + | 0.676411i | ||||
\(487\) | 6.18190 | − | 10.7074i | 0.280129 | − | 0.485197i | −0.691287 | − | 0.722580i | \(-0.742956\pi\) |
0.971416 | + | 0.237383i | \(0.0762895\pi\) | |||||||
\(488\) | −6.04163 | + | 10.4644i | −0.273492 | + | 0.473702i | ||||
\(489\) | −21.5036 | − | 33.6098i | −0.972426 | − | 1.51989i | ||||
\(490\) | 3.21946 | + | 0.162084i | 0.145440 | + | 0.00732222i | ||||
\(491\) | 0.207004 | − | 0.358541i | 0.00934194 | − | 0.0161807i | −0.861317 | − | 0.508069i | \(-0.830360\pi\) |
0.870659 | + | 0.491888i | \(0.163693\pi\) | |||||||
\(492\) | 1.63667 | − | 0.0746406i | 0.0737869 | − | 0.00336506i | ||||
\(493\) | 33.5117 | 1.50929 | ||||||||
\(494\) | 2.96050 | − | 5.12774i | 0.133199 | − | 0.230708i | ||||
\(495\) | 5.01838 | − | 0.458681i | 0.225560 | − | 0.0206162i | ||||
\(496\) | −0.514589 | −0.0231057 | ||||||||
\(497\) | 3.79173 | + | 2.31821i | 0.170082 | + | 0.103986i | ||||
\(498\) | −11.5021 | + | 0.524555i | −0.515423 | + | 0.0235059i | ||||
\(499\) | −0.923935 | −0.0413610 | −0.0206805 | − | 0.999786i | \(-0.506583\pi\) | ||||
−0.0206805 | + | 0.999786i | \(0.506583\pi\) | |||||||
\(500\) | −2.25370 | − | 3.90352i | −0.100788 | − | 0.174571i | ||||
\(501\) | −8.46984 | + | 16.3478i | −0.378404 | + | 0.730365i | ||||
\(502\) | 9.13667 | − | 15.8252i | 0.407790 | − | 0.706312i | ||||
\(503\) | −23.8142 | −1.06182 | −0.530911 | − | 0.847428i | \(-0.678150\pi\) | ||||
−0.530911 | + | 0.847428i | \(0.678150\pi\) | |||||||
\(504\) | 7.12062 | + | 3.50667i | 0.317178 | + | 0.156200i | ||||
\(505\) | −6.33463 | −0.281887 | ||||||||
\(506\) | 2.06654 | − | 3.57935i | 0.0918688 | − | 0.159121i | ||||
\(507\) | 10.1439 | + | 15.8547i | 0.450505 | + | 0.704133i | ||||
\(508\) | −4.40496 | − | 7.62961i | −0.195438 | − | 0.338509i | ||||
\(509\) | −30.6342 | −1.35784 | −0.678919 | − | 0.734213i | \(-0.737551\pi\) | ||||
−0.678919 | + | 0.734213i | \(0.737551\pi\) | |||||||
\(510\) | 1.60505 | + | 2.50867i | 0.0710728 | + | 0.111086i | ||||
\(511\) | −30.7704 | + | 16.7480i | −1.36120 | + | 0.740887i | ||||
\(512\) | 1.00000 | 0.0441942 | ||||||||
\(513\) | −12.9210 | − | 16.6376i | −0.570477 | − | 0.734567i | ||||
\(514\) | 10.5256 | − | 18.2308i | 0.464263 | − | 0.804128i | ||||
\(515\) | −5.14027 | −0.226507 | ||||||||
\(516\) | 7.43200 | − | 14.3446i | 0.327176 | − | 0.631487i | ||||
\(517\) | 4.24484 | − | 7.35228i | 0.186688 | − | 0.323353i | ||||
\(518\) | 20.5598 | + | 12.5700i | 0.903347 | + | 0.552294i | ||||
\(519\) | −2.34154 | + | 4.51945i | −0.102782 | + | 0.198382i | ||||
\(520\) | −0.336285 | + | 0.582462i | −0.0147471 | + | 0.0255427i | ||||
\(521\) | −13.4518 | + | 23.2993i | −0.589336 | + | 1.02076i | 0.404984 | + | 0.914324i | \(0.367277\pi\) |
−0.994320 | + | 0.106436i | \(0.966056\pi\) | |||||||
\(522\) | 26.8135 | − | 2.45076i | 1.17360 | − | 0.107267i | ||||
\(523\) | −7.85301 | − | 13.6018i | −0.343388 | − | 0.594766i | 0.641671 | − | 0.766980i | \(-0.278241\pi\) |
−0.985060 | + | 0.172214i | \(0.944908\pi\) | |||||||
\(524\) | −10.5687 | − | 18.3055i | −0.461695 | − | 0.799679i | ||||
\(525\) | −19.2216 | − | 10.5802i | −0.838899 | − | 0.461759i | ||||
\(526\) | 2.58259 | − | 4.47318i | 0.112606 | − | 0.195040i | ||||
\(527\) | −1.92140 | −0.0836975 | ||||||||
\(528\) | 2.90642 | − | 5.60973i | 0.126486 | − | 0.244132i | ||||
\(529\) | −21.7161 | −0.944180 | ||||||||
\(530\) | −2.86333 | − | 4.95943i | −0.124375 | − | 0.215424i | ||||
\(531\) | 22.3135 | + | 31.6053i | 0.968324 | + | 1.37155i | ||||
\(532\) | −9.42101 | + | 5.12774i | −0.408453 | + | 0.222316i | ||||
\(533\) | 0.690757 | + | 1.19643i | 0.0299200 | + | 0.0518230i | ||||
\(534\) | 4.71780 | − | 0.215155i | 0.204159 | − | 0.00931069i | ||||
\(535\) | 1.79153 | + | 3.10303i | 0.0774548 | + | 0.134156i | ||||
\(536\) | 1.16012 | + | 2.00938i | 0.0501094 | + | 0.0867920i | ||||
\(537\) | −7.30039 | + | 14.0906i | −0.315035 | + | 0.608054i | ||||
\(538\) | 8.42840 | + | 14.5984i | 0.363374 | + | 0.629383i | ||||
\(539\) | −11.6388 | − | 22.7267i | −0.501319 | − | 0.978910i | ||||
\(540\) | 1.46770 | + | 1.88987i | 0.0631598 | + | 0.0813269i | ||||
\(541\) | −2.05934 | − | 3.56688i | −0.0885379 | − | 0.153352i | 0.818355 | − | 0.574713i | \(-0.194886\pi\) |
−0.906893 | + | 0.421360i | \(0.861553\pi\) | |||||||
\(542\) | −25.1124 | −1.07867 | ||||||||
\(543\) | 38.8068 | − | 1.76979i | 1.66536 | − | 0.0759488i | ||||
\(544\) | 3.73385 | 0.160088 | ||||||||
\(545\) | 1.73025 | − | 2.99689i | 0.0741159 | − | 0.128372i | ||||
\(546\) | 0.136673 | + | 6.69148i | 0.00584907 | + | 0.286369i | ||||
\(547\) | −11.8602 | − | 20.5425i | −0.507106 | − | 0.878333i | −0.999966 | − | 0.00822465i | \(-0.997382\pi\) |
0.492860 | − | 0.870108i | \(-0.335951\pi\) | |||||||
\(548\) | 2.20321 | + | 3.81607i | 0.0941165 | + | 0.163015i | ||||
\(549\) | −15.1922 | + | 32.9127i | −0.648388 | + | 1.40468i | ||||
\(550\) | −8.73239 | + | 15.1249i | −0.372350 | + | 0.644930i | ||||
\(551\) | −18.1929 | + | 31.5110i | −0.775043 | + | 1.34241i | ||||
\(552\) | 1.96050 | − | 0.0894089i | 0.0834446 | − | 0.00380550i | ||||
\(553\) | 11.6359 | − | 6.33327i | 0.494808 | − | 0.269318i | ||||
\(554\) | −1.69076 | + | 2.92848i | −0.0718334 | + | 0.124419i | ||||
\(555\) | 3.91528 | + | 6.11952i | 0.166194 | + | 0.259759i | ||||
\(556\) | 2.02491 | 0.0858751 | ||||||||
\(557\) | −21.0313 | + | 36.4273i | −0.891125 | + | 1.54347i | −0.0525975 | + | 0.998616i | \(0.516750\pi\) |
−0.838528 | + | 0.544859i | \(0.816583\pi\) | |||||||
\(558\) | −1.53736 | + | 0.140515i | −0.0650816 | + | 0.00594847i | ||||
\(559\) | 13.6228 | 0.576181 | ||||||||
\(560\) | 1.07014 | − | 0.582462i | 0.0452215 | − | 0.0246135i | ||||
\(561\) | 10.8521 | − | 20.9459i | 0.458178 | − | 0.884336i | ||||
\(562\) | 20.2776 | 0.855360 | ||||||||
\(563\) | −5.91216 | − | 10.2402i | −0.249168 | − | 0.431571i | 0.714127 | − | 0.700016i | \(-0.246824\pi\) |
−0.963295 | + | 0.268445i | \(0.913490\pi\) | |||||||
\(564\) | 4.02704 | − | 0.183653i | 0.169569 | − | 0.00773321i | ||||
\(565\) | −1.39562 | + | 2.41729i | −0.0587144 | + | 0.101696i | ||||
\(566\) | 17.3494 | 0.729250 | ||||||||
\(567\) | 22.2307 | + | 8.53197i | 0.933603 | + | 0.358309i | ||||
\(568\) | 1.67977 | 0.0704815 | ||||||||
\(569\) | −7.10078 | + | 12.2989i | −0.297680 | + | 0.515597i | −0.975605 | − | 0.219534i | \(-0.929546\pi\) |
0.677925 | + | 0.735131i | \(0.262880\pi\) | |||||||
\(570\) | −3.23025 | + | 0.147316i | −0.135300 | + | 0.00617038i | ||||
\(571\) | −5.97869 | − | 10.3554i | −0.250200 | − | 0.433360i | 0.713380 | − | 0.700777i | \(-0.247163\pi\) |
−0.963581 | + | 0.267417i | \(0.913830\pi\) | |||||||
\(572\) | 5.32743 | 0.222751 | ||||||||
\(573\) | −1.98375 | + | 3.82888i | −0.0828725 | + | 0.159954i | ||||
\(574\) | 0.0629386 | − | 2.50187i | 0.00262701 | − | 0.104426i | ||||
\(575\) | −5.42509 | −0.226242 | ||||||||
\(576\) | 2.98755 | − | 0.273062i | 0.124481 | − | 0.0113776i | ||||
\(577\) | 21.3135 | − | 36.9161i | 0.887293 | − | 1.53684i | 0.0442307 | − | 0.999021i | \(-0.485916\pi\) |
0.843062 | − | 0.537816i | \(-0.180750\pi\) | |||||||
\(578\) | −3.05836 | −0.127211 | ||||||||
\(579\) | −4.19095 | − | 6.55040i | −0.174170 | − | 0.272225i | ||||
\(580\) | 2.06654 | − | 3.57935i | 0.0858083 | − | 0.148624i | ||||
\(581\) | −0.442317 | + | 17.5825i | −0.0183504 | + | 0.729445i | ||||
\(582\) | 19.3566 | − | 0.882759i | 0.802357 | − | 0.0365915i | ||||
\(583\) | −22.6804 | + | 39.2837i | −0.939328 | + | 1.62696i | ||||
\(584\) | −6.62062 | + | 11.4673i | −0.273963 | + | 0.474518i | ||||
\(585\) | −0.845618 | + | 1.83196i | −0.0349620 | + | 0.0757422i | ||||
\(586\) | −4.93560 | − | 8.54871i | −0.203888 | − | 0.353144i | ||||
\(587\) | 20.5328 | + | 35.5638i | 0.847478 | + | 1.46788i | 0.883451 | + | 0.468523i | \(0.155214\pi\) |
−0.0359730 | + | 0.999353i | \(0.511453\pi\) | |||||||
\(588\) | 6.11177 | − | 10.4712i | 0.252045 | − | 0.431826i | ||||
\(589\) | 1.04309 | − | 1.80669i | 0.0429799 | − | 0.0744434i | ||||
\(590\) | 5.93872 | 0.244493 | ||||||||
\(591\) | 22.0328 | − | 1.00481i | 0.906307 | − | 0.0413322i | ||||
\(592\) | 9.10817 | 0.374343 | ||||||||
\(593\) | 16.1008 | + | 27.8874i | 0.661180 | + | 1.14520i | 0.980306 | + | 0.197485i | \(0.0632772\pi\) |
−0.319126 | + | 0.947712i | \(0.603389\pi\) | |||||||
\(594\) | 7.15126 | − | 17.5530i | 0.293420 | − | 0.720207i | ||||
\(595\) | 3.99573 | − | 2.17483i | 0.163809 | − | 0.0891592i | ||||
\(596\) | 4.58113 | + | 7.93474i | 0.187650 | + | 0.325020i | ||||
\(597\) | −2.34728 | + | 4.53051i | −0.0960676 | + | 0.185422i | ||||
\(598\) | 0.827430 | + | 1.43315i | 0.0338361 | + | 0.0586059i | ||||
\(599\) | −9.53590 | − | 16.5167i | −0.389626 | − | 0.674852i | 0.602773 | − | 0.797913i | \(-0.294062\pi\) |
−0.992399 | + | 0.123060i | \(0.960729\pi\) | |||||||
\(600\) | −8.28434 | + | 0.377808i | −0.338207 | + | 0.0154239i | ||||
\(601\) | 4.27188 | + | 7.39912i | 0.174254 | + | 0.301816i | 0.939903 | − | 0.341442i | \(-0.110915\pi\) |
−0.765649 | + | 0.643259i | \(0.777582\pi\) | |||||||
\(602\) | −21.0548 | − | 12.8726i | −0.858128 | − | 0.524648i | ||||
\(603\) | 4.01459 | + | 5.68634i | 0.163487 | + | 0.231565i | ||||
\(604\) | 0.0519482 | + | 0.0899768i | 0.00211374 | + | 0.00366111i | ||||
\(605\) | −1.06167 | −0.0431631 | ||||||||
\(606\) | −10.9605 | + | 21.1550i | −0.445240 | + | 0.859365i | ||||
\(607\) | 38.0115 | 1.54284 | 0.771419 | − | 0.636328i | \(-0.219547\pi\) | ||||
0.771419 | + | 0.636328i | \(0.219547\pi\) | |||||||
\(608\) | −2.02704 | + | 3.51094i | −0.0822074 | + | 0.142387i | ||||
\(609\) | −0.839883 | − | 41.1205i | −0.0340338 | − | 1.66629i | ||||
\(610\) | 2.78220 | + | 4.81891i | 0.112648 | + | 0.195112i | ||||
\(611\) | 1.69961 | + | 2.94381i | 0.0687589 | + | 0.119094i | ||||
\(612\) | 11.1551 | − | 1.01957i | 0.450916 | − | 0.0412138i | ||||
\(613\) | 11.3296 | − | 19.6234i | 0.457597 | − | 0.792581i | −0.541237 | − | 0.840870i | \(-0.682044\pi\) |
0.998833 | + | 0.0482894i | \(0.0153770\pi\) | |||||||
\(614\) | −3.89397 | + | 6.74455i | −0.157148 | + | 0.272188i | ||||
\(615\) | 0.347081 | − | 0.669906i | 0.0139956 | − | 0.0270132i | ||||
\(616\) | −8.23385 | − | 5.03407i | −0.331751 | − | 0.202828i | ||||
\(617\) | −10.1388 | + | 17.5609i | −0.408173 | + | 0.706977i | −0.994685 | − | 0.102964i | \(-0.967167\pi\) |
0.586512 | + | 0.809941i | \(0.300501\pi\) | |||||||
\(618\) | −8.89397 | + | 17.1664i | −0.357768 | + | 0.690534i | ||||
\(619\) | 2.06128 | 0.0828499 | 0.0414249 | − | 0.999142i | \(-0.486810\pi\) | ||||
0.0414249 | + | 0.999142i | \(0.486810\pi\) | |||||||
\(620\) | −0.118485 | + | 0.205223i | −0.00475849 | + | 0.00824194i | ||||
\(621\) | 5.83269 | − | 0.802453i | 0.234058 | − | 0.0322013i | ||||
\(622\) | 15.4107 | 0.617912 | ||||||||
\(623\) | 0.181424 | − | 7.21177i | 0.00726860 | − | 0.288933i | ||||
\(624\) | 1.36333 | + | 2.13086i | 0.0545768 | + | 0.0853027i | ||||
\(625\) | 21.8640 | 0.874560 | ||||||||
\(626\) | −4.24844 | − | 7.35851i | −0.169802 | − | 0.294105i | ||||
\(627\) | 13.8040 | + | 21.5754i | 0.551278 | + | 0.861640i | ||||
\(628\) | −10.4911 | + | 18.1712i | −0.418642 | + | 0.725110i | ||||
\(629\) | 34.0085 | 1.35601 | ||||||||
\(630\) | 3.03803 | − | 2.03235i | 0.121038 | − | 0.0809707i | ||||
\(631\) | 1.63715 | 0.0651740 | 0.0325870 | − | 0.999469i | \(-0.489625\pi\) | ||||
0.0325870 | + | 0.999469i | \(0.489625\pi\) | |||||||
\(632\) | 2.50360 | − | 4.33636i | 0.0995878 | − | 0.172491i | ||||
\(633\) | −0.969165 | + | 1.87060i | −0.0385208 | + | 0.0743497i | ||||
\(634\) | 7.05262 | + | 12.2155i | 0.280095 | + | 0.485139i | ||||
\(635\) | −4.05701 | −0.160998 | ||||||||
\(636\) | −21.5167 | + | 0.981271i | −0.853194 | + | 0.0389099i | ||||
\(637\) | 10.2106 | + | 0.514055i | 0.404559 | + | 0.0203676i | ||||
\(638\) | −32.7381 | −1.29611 | ||||||||
\(639\) | 5.01838 | − | 0.458681i | 0.198524 | − | 0.0181451i | ||||
\(640\) | 0.230252 | − | 0.398809i | 0.00910153 | − | 0.0157643i | ||||
\(641\) | 21.9325 | 0.866281 | 0.433140 | − | 0.901326i | \(-0.357405\pi\) | ||||
0.433140 | + | 0.901326i | \(0.357405\pi\) | |||||||
\(642\) | 13.4626 | − | 0.613964i | 0.531328 | − | 0.0242312i | ||||
\(643\) | −14.1819 | + | 24.5638i | −0.559280 | + | 0.968701i | 0.438277 | + | 0.898840i | \(0.355589\pi\) |
−0.997557 | + | 0.0698609i | \(0.977744\pi\) | |||||||
\(644\) | 0.0753916 | − | 2.99689i | 0.00297085 | − | 0.118094i | ||||
\(645\) | −4.00953 | − | 6.26683i | −0.157875 | − | 0.246756i | ||||
\(646\) | −7.56867 | + | 13.1093i | −0.297785 | + | 0.515780i | ||||
\(647\) | 17.3904 | − | 30.1210i | 0.683686 | − | 1.18418i | −0.290162 | − | 0.956978i | \(-0.593709\pi\) |
0.973848 | − | 0.227201i | \(-0.0729575\pi\) | |||||||
\(648\) | 8.85087 | − | 1.63157i | 0.347695 | − | 0.0640943i | ||||
\(649\) | −23.5203 | − | 40.7384i | −0.923253 | − | 1.59912i | ||||
\(650\) | −3.49640 | − | 6.05594i | −0.137140 | − | 0.237534i | ||||
\(651\) | 0.0481549 | + | 2.35765i | 0.00188734 | + | 0.0924037i | ||||
\(652\) | −11.5182 | + | 19.9501i | −0.451087 | + | 0.781306i | ||||
\(653\) | −3.19863 | −0.125172 | −0.0625860 | − | 0.998040i | \(-0.519935\pi\) | ||||
−0.0625860 | + | 0.998040i | \(0.519935\pi\) | |||||||
\(654\) | −7.01459 | − | 10.9637i | −0.274292 | − | 0.428715i | ||||
\(655\) | −9.73385 | −0.380333 | ||||||||
\(656\) | −0.472958 | − | 0.819187i | −0.0184659 | − | 0.0319839i | ||||
\(657\) | −16.6481 | + | 36.0668i | −0.649506 | + | 1.40710i | ||||
\(658\) | 0.154861 | − | 6.15585i | 0.00603710 | − | 0.239980i | ||||
\(659\) | 5.30418 | + | 9.18711i | 0.206622 | + | 0.357879i | 0.950648 | − | 0.310271i | \(-0.100420\pi\) |
−0.744027 | + | 0.668150i | \(0.767086\pi\) | |||||||
\(660\) | −1.56800 | − | 2.45076i | −0.0610343 | − | 0.0953957i | ||||
\(661\) | −5.06507 | − | 8.77297i | −0.197009 | − | 0.341229i | 0.750549 | − | 0.660815i | \(-0.229789\pi\) |
−0.947557 | + | 0.319586i | \(0.896456\pi\) | |||||||
\(662\) | −13.7719 | − | 23.8536i | −0.535259 | − | 0.927097i | ||||
\(663\) | 5.09046 | + | 7.95631i | 0.197697 | + | 0.308998i | ||||
\(664\) | 3.32383 | + | 5.75705i | 0.128990 | + | 0.223417i | ||||
\(665\) | −0.124220 | + | 4.93786i | −0.00481705 | + | 0.191482i | ||||
\(666\) | 27.2111 | − | 2.48710i | 1.05441 | − | 0.0963731i | ||||
\(667\) | −5.08472 | − | 8.80700i | −0.196881 | − | 0.341008i | ||||
\(668\) | 10.6300 | 0.411285 | ||||||||
\(669\) | −0.832492 | − | 1.30117i | −0.0321860 | − | 0.0503062i | ||||
\(670\) | 1.06848 | 0.0412789 | ||||||||
\(671\) | 22.0378 | − | 38.1707i | 0.850761 | − | 1.47356i | ||||
\(672\) | −0.0935793 | − | 4.58162i | −0.00360990 | − | 0.176740i | ||||
\(673\) | 1.60817 | + | 2.78543i | 0.0619903 | + | 0.107370i | 0.895355 | − | 0.445353i | \(-0.146922\pi\) |
−0.833365 | + | 0.552724i | \(0.813589\pi\) | |||||||
\(674\) | 0.748440 | + | 1.29634i | 0.0288288 | + | 0.0499330i | ||||
\(675\) | −24.6467 | + | 3.39086i | −0.948651 | + | 0.130514i | ||||
\(676\) | 5.43346 | − | 9.41103i | 0.208979 | − | 0.361963i | ||||
\(677\) | 14.6819 | − | 25.4298i | 0.564271 | − | 0.977347i | −0.432846 | − | 0.901468i | \(-0.642491\pi\) |
0.997117 | − | 0.0758786i | \(-0.0241762\pi\) | |||||||
\(678\) | 5.65798 | + | 8.84334i | 0.217293 | + | 0.339626i | ||||
\(679\) | 0.744363 | − | 29.5891i | 0.0285660 | − | 1.13552i | ||||
\(680\) | 0.859728 | − | 1.48909i | 0.0329691 | − | 0.0571041i | ||||
\(681\) | −25.3515 | + | 1.15616i | −0.971473 | + | 0.0443041i | ||||
\(682\) | 1.87705 | 0.0718759 | ||||||||
\(683\) | 12.6278 | − | 21.8720i | 0.483190 | − | 0.836910i | −0.516624 | − | 0.856213i | \(-0.672811\pi\) |
0.999814 | + | 0.0193029i | \(0.00614468\pi\) | |||||||
\(684\) | −5.09718 | + | 11.0426i | −0.194895 | + | 0.422225i | ||||
\(685\) | 2.02918 | 0.0775309 | ||||||||
\(686\) | −15.2953 | − | 10.4428i | −0.583978 | − | 0.398710i | ||||
\(687\) | −16.5687 | + | 0.755615i | −0.632134 | + | 0.0288285i | ||||
\(688\) | −9.32743 | −0.355605 | ||||||||
\(689\) | −9.08113 | − | 15.7290i | −0.345963 | − | 0.599226i | ||||
\(690\) | 0.415754 | − | 0.802453i | 0.0158275 | − | 0.0305489i | ||||
\(691\) | 7.68190 | − | 13.3054i | 0.292233 | − | 0.506163i | −0.682104 | − | 0.731255i | \(-0.738935\pi\) |
0.974338 | + | 0.225092i | \(0.0722683\pi\) | |||||||
\(692\) | 2.93872 | 0.111713 | ||||||||
\(693\) | −25.9736 | − | 12.7912i | −0.986657 | − | 0.485896i | ||||
\(694\) | −18.2881 | −0.694208 | ||||||||
\(695\) | 0.466240 | − | 0.807551i | 0.0176855 | − | 0.0306321i | ||||
\(696\) | −8.37792 | − | 13.0946i | −0.317564 | − | 0.496348i | ||||
\(697\) | −1.76595 | − | 3.05872i | −0.0668903 | − | 0.115857i | ||||
\(698\) | 7.80272 | 0.295337 | ||||||||
\(699\) | 13.4684 | + | 21.0509i | 0.509421 | + | 0.796217i | ||||
\(700\) | −0.318576 | + | 12.6637i | −0.0120410 | + | 0.478642i | ||||
\(701\) | −13.3700 | −0.504980 | −0.252490 | − | 0.967600i | \(-0.581249\pi\) | ||||
−0.252490 | + | 0.967600i | \(0.581249\pi\) | |||||||
\(702\) | 4.65486 | + | 5.99377i | 0.175686 | + | 0.226220i | ||||
\(703\) | −18.4626 | + | 31.9782i | −0.696332 | + | 1.20608i | ||||
\(704\) | −3.64766 | −0.137476 | ||||||||
\(705\) | 0.853994 | − | 1.64831i | 0.0321633 | − | 0.0620788i | ||||
\(706\) | −13.4626 | + | 23.3180i | −0.506673 | + | 0.877584i | ||||
\(707\) | 31.0510 | + | 18.9842i | 1.16779 | + | 0.713972i | ||||
\(708\) | 10.2755 | − | 19.8329i | 0.386176 | − | 0.745365i | ||||
\(709\) | 0.562939 | − | 0.975038i | 0.0211416 | − | 0.0366183i | −0.855261 | − | 0.518197i | \(-0.826603\pi\) |
0.876403 | + | 0.481579i | \(0.159937\pi\) | |||||||
\(710\) | 0.386770 | − | 0.669906i | 0.0145152 | − | 0.0251411i | ||||
\(711\) | 6.29552 | − | 13.6387i | 0.236101 | − | 0.511492i | ||||
\(712\) | −1.36333 | − | 2.36135i | −0.0510928 | − | 0.0884954i | ||||
\(713\) | 0.291534 | + | 0.504951i | 0.0109180 | + | 0.0189106i | ||||
\(714\) | −0.349411 | − | 17.1071i | −0.0130764 | − | 0.640217i | ||||
\(715\) | 1.22665 | − | 2.12463i | 0.0458743 | − | 0.0794565i | ||||
\(716\) | 9.16225 | 0.342409 | ||||||||
\(717\) | −14.5890 | + | 28.1585i | −0.544836 | + | 1.05160i | ||||
\(718\) | 6.26322 | 0.233741 | ||||||||
\(719\) | 9.13667 | + | 15.8252i | 0.340740 | + | 0.590180i | 0.984570 | − | 0.174989i | \(-0.0559889\pi\) |
−0.643830 | + | 0.765169i | \(0.722656\pi\) | |||||||
\(720\) | 0.578990 | − | 1.25433i | 0.0215777 | − | 0.0467463i | ||||
\(721\) | 25.1965 | + | 15.4048i | 0.938366 | + | 0.573705i | ||||
\(722\) | 1.28220 | + | 2.22084i | 0.0477186 | + | 0.0826510i | ||||
\(723\) | 0.161579 | − | 0.00736882i | 0.00600919 | − | 0.000274050i | ||||
\(724\) | −11.2142 | − | 19.4236i | −0.416772 | − | 0.721871i | ||||
\(725\) | 21.4861 | + | 37.2150i | 0.797973 | + | 1.38213i | ||||
\(726\) | −1.83696 | + | 3.54554i | −0.0681759 | + | 0.131587i | ||||
\(727\) | −14.8478 | − | 25.7171i | −0.550673 | − | 0.953793i | −0.998226 | − | 0.0595359i | \(-0.981038\pi\) |
0.447553 | − | 0.894257i | \(-0.352295\pi\) | |||||||
\(728\) | 3.39397 | − | 1.84730i | 0.125789 | − | 0.0684654i | ||||
\(729\) | 25.9969 | − | 7.29124i | 0.962847 | − | 0.270046i | ||||
\(730\) | 3.04883 | + | 5.28073i | 0.112842 | + | 0.195448i | ||||
\(731\) | −34.8272 | −1.28813 | ||||||||
\(732\) | 20.9071 | − | 0.953469i | 0.772748 | − | 0.0352412i | ||||
\(733\) | 19.2278 | 0.710195 | 0.355098 | − | 0.934829i | \(-0.384448\pi\) | ||||
0.355098 | + | 0.934829i | \(0.384448\pi\) | |||||||
\(734\) | −14.6367 | + | 25.3515i | −0.540249 | + | 0.935740i | ||||
\(735\) | −2.76876 | − | 4.84845i | −0.102127 | − | 0.178838i | ||||
\(736\) | −0.566537 | − | 0.981271i | −0.0208828 | − | 0.0361701i | ||||
\(737\) | −4.23171 | − | 7.32955i | −0.155877 | − | 0.269987i | ||||
\(738\) | −1.63667 | − | 2.31821i | −0.0602468 | − | 0.0853346i | ||||
\(739\) | −15.1336 | + | 26.2121i | −0.556697 | + | 0.964227i | 0.441073 | + | 0.897471i | \(0.354598\pi\) |
−0.997769 | + | 0.0667556i | \(0.978735\pi\) | |||||||
\(740\) | 2.09718 | − | 3.63242i | 0.0770938 | − | 0.133530i | ||||
\(741\) | −10.2448 | + | 0.467216i | −0.376354 | + | 0.0171636i | ||||
\(742\) | −0.827430 | + | 32.8911i | −0.0303759 | + | 1.20747i | ||||
\(743\) | −11.8815 | + | 20.5794i | −0.435890 | + | 0.754984i | −0.997368 | − | 0.0725076i | \(-0.976900\pi\) |
0.561477 | + | 0.827492i | \(0.310233\pi\) | |||||||
\(744\) | 0.480350 | + | 0.750780i | 0.0176105 | + | 0.0275249i | ||||
\(745\) | 4.21926 | 0.154582 | ||||||||
\(746\) | −8.92986 | + | 15.4670i | −0.326946 | + | 0.566286i | ||||
\(747\) | 11.5021 | + | 16.2918i | 0.420841 | + | 0.596087i | ||||
\(748\) | −13.6198 | −0.497990 | ||||||||
\(749\) | 0.517709 | − | 20.5794i | 0.0189167 | − | 0.751954i | ||||
\(750\) | −3.59144 | + | 6.93190i | −0.131141 | + | 0.253117i | ||||
\(751\) | 12.6683 | 0.462273 | 0.231136 | − | 0.972921i | \(-0.425756\pi\) | ||||
0.231136 | + | 0.972921i | \(0.425756\pi\) | |||||||
\(752\) | −1.16372 | − | 2.01561i | −0.0424363 | − | 0.0735019i | ||||
\(753\) | −31.6175 | + | 1.44192i | −1.15221 | + | 0.0525464i | ||||
\(754\) | 6.55408 | − | 11.3520i | 0.238686 | − | 0.413416i | ||||
\(755\) | 0.0478448 | 0.00174125 | ||||||||
\(756\) | −1.53064 | − | 13.6623i | −0.0556689 | − | 0.496891i | ||||
\(757\) | −29.0799 | −1.05693 | −0.528464 | − | 0.848955i | \(-0.677232\pi\) | ||||
−0.528464 | + | 0.848955i | \(0.677232\pi\) | |||||||
\(758\) | 11.2127 | − | 19.4210i | 0.407265 | − | 0.705404i | ||||
\(759\) | −7.15126 | + | 0.326134i | −0.259574 | + | 0.0118379i | ||||
\(760\) | 0.933463 | + | 1.61680i | 0.0338603 | + | 0.0586477i | ||||
\(761\) | 29.2029 | 1.05860 | 0.529302 | − | 0.848433i | \(-0.322454\pi\) | ||||
0.529302 | + | 0.848433i | \(0.322454\pi\) | |||||||
\(762\) | −7.01965 | + | 13.5487i | −0.254295 | + | 0.490819i | ||||
\(763\) | −17.4626 | + | 9.50471i | −0.632190 | + | 0.344094i | ||||
\(764\) | 2.48968 | 0.0900736 | ||||||||
\(765\) | 2.16186 | − | 4.68350i | 0.0781623 | − | 0.169332i | ||||
\(766\) | 7.07014 | − | 12.2458i | 0.255454 | − | 0.442460i | ||||
\(767\) | 18.8348 | 0.680086 | ||||||||
\(768\) | −0.933463 | − | 1.45899i | −0.0336834 | − | 0.0526467i | ||||
\(769\) | 12.5869 | − | 21.8011i | 0.453894 | − | 0.786167i | −0.544730 | − | 0.838611i | \(-0.683368\pi\) |
0.998624 | + | 0.0524443i | \(0.0167012\pi\) | |||||||
\(770\) | −3.90350 | + | 2.12463i | −0.140672 | + | 0.0765662i | ||||
\(771\) | −36.4238 | + | 1.66111i | −1.31177 | + | 0.0598234i | ||||
\(772\) | −2.24484 | + | 3.88818i | −0.0807936 | + | 0.139939i | ||||
\(773\) | −0.752039 | + | 1.30257i | −0.0270490 | + | 0.0468502i | −0.879233 | − | 0.476392i | \(-0.841944\pi\) |
0.852184 | + | 0.523242i | \(0.175278\pi\) | |||||||
\(774\) | −27.8661 | + | 2.54697i | −1.00163 | + | 0.0915490i | ||||
\(775\) | −1.23191 | − | 2.13373i | −0.0442515 | − | 0.0766458i | ||||
\(776\) | −5.59358 | − | 9.68836i | −0.200798 | − | 0.347792i | ||||
\(777\) | −0.852336 | − | 41.7302i | −0.0305774 | − | 1.49706i | ||||
\(778\) | 11.5651 | − | 20.0313i | 0.414628 | − | 0.718157i | ||||
\(779\) | 3.83482 | 0.137397 | ||||||||
\(780\) | 1.16372 | − | 0.0530713i | 0.0416677 | − | 0.00190026i | ||||
\(781\) | −6.12722 | −0.219249 | ||||||||
\(782\) | −2.11537 | − | 3.66392i | −0.0756453 | − | 0.131022i | ||||
\(783\) | −28.6050 | − | 36.8329i | −1.02226 | − | 1.31630i | ||||
\(784\) | −6.99115 | − | 0.351971i | −0.249684 | − | 0.0125704i | ||||
\(785\) | 4.83122 | + | 8.36792i | 0.172434 | + | 0.298664i | ||||
\(786\) | −16.8420 | + | 32.5071i | −0.600735 | + | 1.15949i | ||||
\(787\) | 7.47656 | + | 12.9498i | 0.266510 | + | 0.461610i | 0.967958 | − | 0.251111i | \(-0.0807960\pi\) |
−0.701448 | + | 0.712721i | \(0.747463\pi\) | |||||||
\(788\) | −6.36693 | − | 11.0278i | −0.226812 | − | 0.392850i | ||||
\(789\) | −8.93706 | + | 0.407575i | −0.318168 | + | 0.0145101i | ||||
\(790\) | −1.15292 | − | 1.99691i | −0.0410190 | − | 0.0710470i | ||||
\(791\) | 14.0854 | − | 7.66652i | 0.500819 | − | 0.272590i | ||||
\(792\) | −10.8976 | + | 0.996040i | −0.387228 | + | 0.0353927i | ||||
\(793\) | 8.82383 | + | 15.2833i | 0.313343 | + | 0.542727i | ||||
\(794\) | 10.2661 | 0.364332 | ||||||||
\(795\) | −4.56294 | + | 8.80700i | −0.161831 | + | 0.312352i | ||||
\(796\) | 2.94592 | 0.104415 | ||||||||
\(797\) | −4.56294 | + | 7.90324i | −0.161628 | + | 0.279947i | −0.935453 | − | 0.353452i | \(-0.885008\pi\) |
0.773825 | + | 0.633400i | \(0.218341\pi\) | |||||||
\(798\) | 16.2755 | + | 8.95859i | 0.576146 | + | 0.317130i | ||||
\(799\) | −4.34514 | − | 7.52600i | −0.153720 | − | 0.266251i | ||||
\(800\) | 2.39397 | + | 4.14647i | 0.0846395 | + | 0.146600i | ||||
\(801\) | −4.71780 | − | 6.68238i | −0.166695 | − | 0.236110i | ||||
\(802\) | −17.0167 | + | 29.4738i | −0.600881 | + | 1.04076i | ||||
\(803\) | 24.1498 | − | 41.8287i | 0.852228 | − | 1.47610i | ||||
\(804\) | 1.84874 | − | 3.56828i | 0.0652000 | − | 0.125843i | ||||
\(805\) | −1.17783 | − | 0.720107i | −0.0415129 | − | 0.0253804i | ||||
\(806\) | −0.375780 | + | 0.650870i | −0.0132363 | + | 0.0229259i | ||||
\(807\) | 13.4313 | − | 25.9240i | 0.472805 | − | 0.912569i | ||||
\(808\) | 13.7558 | 0.483928 | ||||||||
\(809\) | 17.7755 | − | 30.7880i | 0.624953 | − | 1.08245i | −0.363597 | − | 0.931556i | \(-0.618452\pi\) |
0.988550 | − | 0.150894i | \(-0.0482151\pi\) | |||||||
\(810\) | 1.38725 | − | 3.90548i | 0.0487430 | − | 0.137225i | ||||
\(811\) | −13.5070 | −0.474295 | −0.237148 | − | 0.971474i | \(-0.576212\pi\) | ||||
−0.237148 | + | 0.971474i | \(0.576212\pi\) | |||||||
\(812\) | −20.8566 | + | 11.3520i | −0.731923 | + | 0.398377i | ||||
\(813\) | 23.4415 | + | 36.6388i | 0.822130 | + | 1.28498i | ||||
\(814\) | −33.2235 | −1.16448 | ||||||||
\(815\) | 5.30418 | + | 9.18711i | 0.185797 | + | 0.321810i | ||||
\(816\) | −3.48541 | − | 5.44765i | −0.122014 | − | 0.190706i | ||||
\(817\) | 18.9071 | − | 32.7480i | 0.661475 | − | 1.14571i | ||||
\(818\) | −3.48968 | −0.122014 | ||||||||
\(819\) | 9.63521 | − | 6.44565i | 0.336682 | − | 0.225229i | ||||
\(820\) | −0.435599 | −0.0152118 | ||||||||
\(821\) | −10.8114 | + | 18.7259i | −0.377320 | + | 0.653537i | −0.990671 | − | 0.136273i | \(-0.956488\pi\) |
0.613352 | + | 0.789810i | \(0.289821\pi\) | |||||||
\(822\) | 3.51099 | − | 6.77662i | 0.122460 | − | 0.236362i | ||||
\(823\) | 0.753501 | + | 1.30510i | 0.0262654 | + | 0.0454930i | 0.878859 | − | 0.477081i | \(-0.158305\pi\) |
−0.852594 | + | 0.522574i | \(0.824972\pi\) | |||||||
\(824\) | 11.1623 | 0.388855 | ||||||||
\(825\) | 30.2185 | − | 1.37811i | 1.05207 | − | 0.0479798i | ||||
\(826\) | −29.1103 | − | 17.7977i | −1.01288 | − | 0.619260i | ||||
\(827\) | 23.3786 | 0.812953 | 0.406477 | − | 0.913661i | \(-0.366757\pi\) | ||||
0.406477 | + | 0.913661i | \(0.366757\pi\) | |||||||
\(828\) | −1.96050 | − | 2.77689i | −0.0681323 | − | 0.0965037i | ||||
\(829\) | −11.0095 | + | 19.0691i | −0.382377 | + | 0.662296i | −0.991401 | − | 0.130855i | \(-0.958228\pi\) |
0.609025 | + | 0.793151i | \(0.291561\pi\) | |||||||
\(830\) | 3.06128 | 0.106259 | ||||||||
\(831\) | 5.85087 | − | 0.266829i | 0.202965 | − | 0.00925621i | ||||
\(832\) | 0.730252 | − | 1.26483i | 0.0253169 | − | 0.0438502i | ||||
\(833\) | −26.1039 | − | 1.31421i | −0.904446 | − | 0.0455345i | ||||
\(834\) | −1.89017 | − | 2.95431i | −0.0654514 | − | 0.102300i | ||||
\(835\) | 2.44757 | − | 4.23932i | 0.0847018 | − | 0.146708i | ||||
\(836\) | 7.39397 | − | 12.8067i | 0.255726 | − | 0.442930i | ||||
\(837\) | 1.64008 | + | 2.11182i | 0.0566894 | + | 0.0729953i | ||||
\(838\) | 14.4897 | + | 25.0969i | 0.500538 | + | 0.866957i | ||||
\(839\) | −1.06507 | − | 1.84476i | −0.0367705 | − | 0.0636883i | 0.847055 | − | 0.531506i | \(-0.178374\pi\) |
−0.883825 | + | 0.467818i | \(0.845040\pi\) | |||||||
\(840\) | −1.84874 | − | 1.01761i | −0.0637875 | − | 0.0351108i | ||||
\(841\) | −25.7762 | + | 44.6456i | −0.888833 | + | 1.53950i | ||||
\(842\) | 2.12256 | 0.0731483 | ||||||||
\(843\) | −18.9284 | − | 29.5848i | −0.651929 | − | 1.01896i | ||||
\(844\) | 1.21634 | 0.0418680 | ||||||||
\(845\) | −2.50214 | − | 4.33383i | −0.0860761 | − | 0.149088i | ||||
\(846\) | −4.02704 | − | 5.70397i | −0.138453 | − | 0.196107i | ||||
\(847\) | 5.20408 | + | 3.18171i | 0.178814 | + | 0.109325i | ||||
\(848\) | 6.21780 | + | 10.7695i | 0.213520 | + | 0.369828i | ||||
\(849\) | −16.1950 | − | 25.3126i | −0.555812 | − | 0.868726i | ||||
\(850\) | 8.93872 | + | 15.4823i | 0.306596 | + | 0.531039i | ||||
\(851\) | −5.16012 | − | 8.93758i | −0.176887 | − | 0.306376i | ||||
\(852\) | −1.56800 | − | 2.45076i | −0.0537188 | − | 0.0839617i | ||||
\(853\) | −3.50146 | − | 6.06471i | −0.119888 | − | 0.207652i | 0.799835 | − | 0.600220i | \(-0.204920\pi\) |
−0.919723 | + | 0.392568i | \(0.871587\pi\) | |||||||
\(854\) | 0.803987 | − | 31.9592i | 0.0275119 | − | 1.09362i | ||||
\(855\) | 3.23025 | + | 4.57539i | 0.110472 | + | 0.156475i | ||||
\(856\) | −3.89037 | − | 6.73832i | −0.132970 | − | 0.230311i | ||||
\(857\) | 10.9282 | 0.373300 | 0.186650 | − | 0.982426i | \(-0.440237\pi\) | ||||
0.186650 | + | 0.982426i | \(0.440237\pi\) | |||||||
\(858\) | −4.97296 | − | 7.77266i | −0.169774 | − | 0.265354i | ||||
\(859\) | −13.9076 | −0.474520 | −0.237260 | − | 0.971446i | \(-0.576249\pi\) | ||||
−0.237260 | + | 0.971446i | \(0.576249\pi\) | |||||||
\(860\) | −2.14766 | + | 3.71986i | −0.0732347 | + | 0.126846i | ||||
\(861\) | −3.70895 | + | 2.24357i | −0.126401 | + | 0.0764607i | ||||
\(862\) | 10.9356 | + | 18.9410i | 0.372468 | + | 0.645133i | ||||
\(863\) | −18.4231 | − | 31.9098i | −0.627131 | − | 1.08622i | −0.988125 | − | 0.153655i | \(-0.950896\pi\) |
0.360993 | − | 0.932568i | \(-0.382438\pi\) | |||||||
\(864\) | −3.18716 | − | 4.10390i | −0.108429 | − | 0.139618i | ||||
\(865\) | 0.676647 | − | 1.17199i | 0.0230067 | − | 0.0398488i | ||||
\(866\) | 6.52558 | − | 11.3026i | 0.221748 | − | 0.384079i | ||||
\(867\) | 2.85486 | + | 4.46211i | 0.0969562 | + | 0.151541i | ||||
\(868\) | 1.19582 | − | 0.650870i | 0.0405887 | − | 0.0220920i | ||||
\(869\) | −9.13229 | + | 15.8176i | −0.309792 | + | 0.536575i | ||||
\(870\) | −7.15126 | + | 0.326134i | −0.242450 | + | 0.0110570i | ||||
\(871\) | 3.38871 | 0.114822 | ||||||||
\(872\) | −3.75729 | + | 6.50783i | −0.127238 | + | 0.220383i | ||||
\(873\) | −19.3566 | − | 27.4170i | −0.655122 | − | 0.927926i | ||||
\(874\) | 4.59358 | 0.155380 | ||||||||
\(875\) | 10.1745 | + | 6.22056i | 0.343961 | + | 0.210293i | ||||
\(876\) | 22.9107 | − | 1.04484i | 0.774081 | − | 0.0353020i | ||||
\(877\) | −10.3595 | −0.349817 | −0.174908 | − | 0.984585i | \(-0.555963\pi\) | ||||
−0.174908 | + | 0.984585i | \(0.555963\pi\) | |||||||
\(878\) | −2.43200 | − | 4.21235i | −0.0820760 | − | 0.142160i | ||||
\(879\) | −7.86527 | + | 15.1809i | −0.265289 | + | 0.512038i | ||||
\(880\) | −0.839883 | + | 1.45472i | −0.0283125 | + | 0.0490386i | ||||
\(881\) | 9.34806 | 0.314944 | 0.157472 | − | 0.987523i | \(-0.449666\pi\) | ||||
0.157472 | + | 0.987523i | \(0.449666\pi\) | |||||||
\(882\) | −20.9825 | + | 0.857490i | −0.706517 | + | 0.0288732i | ||||
\(883\) | 2.29494 | 0.0772308 | 0.0386154 | − | 0.999254i | \(-0.487705\pi\) | ||||
0.0386154 | + | 0.999254i | \(0.487705\pi\) | |||||||
\(884\) | 2.72665 | − | 4.72270i | 0.0917073 | − | 0.158842i | ||||
\(885\) | −5.54357 | − | 8.66452i | −0.186345 | − | 0.291255i | ||||
\(886\) | 5.76975 | + | 9.99350i | 0.193838 | + | 0.335738i | ||||
\(887\) | −27.6726 | −0.929154 | −0.464577 | − | 0.885533i | \(-0.653794\pi\) | ||||
−0.464577 | + | 0.885533i | \(0.653794\pi\) | |||||||
\(888\) | −8.50214 | − | 13.2887i | −0.285313 | − | 0.445940i | ||||
\(889\) | 19.8866 | + | 12.1584i | 0.666974 | + | 0.407779i | ||||
\(890\) | −1.25564 | −0.0420891 | ||||||||
\(891\) | −32.2850 | + | 5.95143i | −1.08159 | + | 0.199380i | ||||
\(892\) | −0.445916 | + | 0.772349i | −0.0149304 | + | 0.0258602i | ||||
\(893\) | 9.43560 | 0.315750 | ||||||||
\(894\) | 7.30039 | − | 14.0906i | 0.244162 | − | 0.471260i | ||||
\(895\) | 2.10963 | − | 3.65399i | 0.0705172 | − | 0.122139i | ||||
\(896\) | −2.32383 | + | 1.26483i | −0.0776338 | + | 0.0422551i | ||||
\(897\) | 1.31858 | − | 2.54500i | 0.0440260 | − | 0.0849752i | ||||
\(898\) | 13.2125 | − | 22.8848i | 0.440908 | − | 0.763676i | ||||
\(899\) | 2.30924 | − | 3.99973i | 0.0770176 | − | 0.133398i | ||||
\(900\) | 8.28434 | + | 11.7341i | 0.276145 | + | 0.391136i | ||||
\(901\) | 23.2163 | + | 40.2119i | 0.773448 | + | 1.33965i | ||||
\(902\) | 1.72519 | + | 2.98812i | 0.0574426 | + | 0.0994935i | ||||
\(903\) | 0.872855 | + | 42.7347i | 0.0290468 | + | 1.42212i | ||||
\(904\) | 3.03064 | − | 5.24922i | 0.100798 | − | 0.174587i | ||||
\(905\) | −10.3284 | −0.343327 | ||||||||
\(906\) | 0.0827835 | − | 0.159782i | 0.00275030 | − | 0.00530839i | ||||
\(907\) | −2.93152 | −0.0973396 | −0.0486698 | − | 0.998815i | \(-0.515498\pi\) | ||||
−0.0486698 | + | 0.998815i | \(0.515498\pi\) | |||||||
\(908\) | 7.32597 | + | 12.6889i | 0.243121 | + | 0.421098i | ||||
\(909\) | 41.0962 | − | 3.75620i | 1.36307 | − | 0.124585i | ||||
\(910\) | 0.0447509 | − | 1.77889i | 0.00148348 | − | 0.0589696i | ||||
\(911\) | 15.3171 | + | 26.5300i | 0.507479 | + | 0.878979i | 0.999963 | + | 0.00865719i | \(0.00275570\pi\) |
−0.492484 | + | 0.870322i | \(0.663911\pi\) | |||||||
\(912\) | 7.01459 | − | 0.319901i | 0.232276 | − | 0.0105930i | ||||
\(913\) | −12.1242 | − | 20.9998i | −0.401253 | − | 0.694991i | ||||
\(914\) | 1.86906 | + | 3.23731i | 0.0618231 | + | 0.107081i | ||||
\(915\) | 4.43366 | − | 8.55747i | 0.146572 | − | 0.282901i | ||||
\(916\) | 4.78794 | + | 8.29295i | 0.158198 | + | 0.274007i | ||||
\(917\) | 47.7132 | + | 29.1712i | 1.57563 | + | 0.963319i | ||||
\(918\) | −11.9004 | − | 15.3234i | −0.392771 | − | 0.505746i | ||||
\(919\) | 13.1857 | + | 22.8383i | 0.434956 | + | 0.753366i | 0.997292 | − | 0.0735429i | \(-0.0234306\pi\) |
−0.562336 | + | 0.826909i | \(0.690097\pi\) | |||||||
\(920\) | −0.521786 | −0.0172028 | ||||||||
\(921\) | 13.4751 | − | 0.614532i | 0.444019 | − | 0.0202495i | ||||
\(922\) | 15.8099 | 0.520672 | ||||||||
\(923\) | 1.22665 | − | 2.12463i | 0.0403758 | − | 0.0699329i | ||||
\(924\) | 0.341346 | + | 16.7122i | 0.0112295 | + | 0.549791i | ||||
\(925\) | 21.8047 | + | 37.7668i | 0.716933 | + | 1.24176i | ||||
\(926\) | 19.1965 | + | 33.2493i | 0.630836 | + | 1.09264i | ||||
\(927\) | 33.3478 | − | 3.04799i | 1.09528 | − | 0.100109i | ||||
\(928\) | −4.48755 | + | 7.77266i | −0.147311 | + | 0.255150i | ||||
\(929\) | −8.93706 | + | 15.4794i | −0.293215 | + | 0.507864i | −0.974568 | − | 0.224091i | \(-0.928059\pi\) |
0.681353 | + | 0.731955i | \(0.261392\pi\) | |||||||
\(930\) | 0.410019 | − | 0.0186989i | 0.0134451 | − | 0.000613163i | ||||
\(931\) | 15.4071 | − | 23.8320i | 0.504947 | − | 0.781063i | ||||
\(932\) | 7.21420 | − | 12.4954i | 0.236309 | − | 0.409299i | ||||
\(933\) | −14.3853 | − | 22.4840i | −0.470954 | − | 0.736094i | ||||
\(934\) | −6.31304 | −0.206569 | ||||||||
\(935\) | −3.13600 | + | 5.43171i | −0.102558 | + | 0.177636i | ||||
\(936\) | 1.83628 | − | 3.97816i | 0.0600208 | − | 0.130030i | ||||
\(937\) | 15.9134 | 0.519869 | 0.259934 | − | 0.965626i | \(-0.416299\pi\) | ||||
0.259934 | + | 0.965626i | \(0.416299\pi\) | |||||||
\(938\) | −5.23745 | − | 3.20211i | −0.171009 | − | 0.104553i | ||||
\(939\) | −6.77023 | + | 13.0673i | −0.220938 | + | 0.426436i | ||||
\(940\) | −1.07179 | −0.0349580 | ||||||||
\(941\) | 8.14027 | + | 14.0994i | 0.265365 | + | 0.459626i | 0.967659 | − | 0.252261i | \(-0.0811741\pi\) |
−0.702294 | + | 0.711887i | \(0.747841\pi\) | |||||||
\(942\) | 36.3047 | − | 1.65568i | 1.18287 | − | 0.0539448i | ||||
\(943\) | −0.535897 | + | 0.928200i | −0.0174512 | + | 0.0302264i | ||||
\(944\) | −12.8961 | −0.419732 | ||||||||
\(945\) | −5.80106 | − | 2.53533i | −0.188709 | − | 0.0824744i | ||||
\(946\) | 34.0233 | 1.10619 | ||||||||
\(947\) | 14.2951 | − | 24.7599i | 0.464529 | − | 0.804589i | −0.534651 | − | 0.845073i | \(-0.679557\pi\) |
0.999180 | + | 0.0404846i | \(0.0128902\pi\) | |||||||
\(948\) | −8.66372 | + | 0.395109i | −0.281384 | + | 0.0128325i | ||||
\(949\) | 9.66945 | + | 16.7480i | 0.313884 | + | 0.543662i | ||||
\(950\) | −19.4107 | −0.629766 | ||||||||
\(951\) | 11.2389 | − | 21.6924i | 0.364447 | − | 0.703424i | ||||
\(952\) | −8.67684 | + | 4.72270i | −0.281218 | + | 0.153064i | ||||
\(953\) | −29.3537 | −0.950859 | −0.475430 | − | 0.879754i | \(-0.657707\pi\) | ||||
−0.475430 | + | 0.879754i | \(0.657707\pi\) | |||||||
\(954\) | 21.5167 | + | 30.4767i | 0.696630 | + | 0.986719i | ||||
\(955\) | 0.573256 | − | 0.992908i | 0.0185501 | − | 0.0321297i | ||||
\(956\) | 18.3097 | 0.592179 | ||||||||
\(957\) | 30.5598 | + | 47.7645i | 0.987859 | + | 1.54401i | ||||
\(958\) | 10.2068 | − | 17.6787i | 0.329767 | − | 0.571173i | ||||
\(959\) | −9.94659 | − | 6.08121i | −0.321192 | − | 0.196373i | ||||
\(960\) | −0.796790 | + | 0.0363376i | −0.0257163 | + | 0.00117279i | ||||
\(961\) | 15.3676 | − | 26.6175i | 0.495729 | − | 0.858628i | ||||
\(962\) | 6.65126 | − | 11.5203i | 0.214445 | − | 0.371430i | ||||
\(963\) | −13.4626 | − | 19.0687i | −0.433828 | − | 0.614481i | ||||
\(964\) | −0.0466924 | − | 0.0808735i | −0.00150386 | − | 0.00260476i | ||||
\(965\) | 1.03376 | + | 1.79053i | 0.0332779 | + | 0.0576391i | ||||
\(966\) | −4.44280 | + | 2.68749i | −0.142945 | + | 0.0864684i | ||||
\(967\) | −4.69815 | + | 8.13743i | −0.151082 | + | 0.261682i | −0.931626 | − | 0.363419i | \(-0.881609\pi\) |
0.780543 | + | 0.625102i | \(0.214943\pi\) | |||||||
\(968\) | 2.30545 | 0.0741000 | ||||||||
\(969\) | 26.1914 | − | 1.19446i | 0.841390 | − | 0.0383716i | ||||
\(970\) | −5.15174 | −0.165412 | ||||||||
\(971\) | 7.77335 | + | 13.4638i | 0.249459 | + | 0.432075i | 0.963376 | − | 0.268155i | \(-0.0864140\pi\) |
−0.713917 | + | 0.700230i | \(0.753081\pi\) | |||||||
\(972\) | −10.6424 | − | 11.3903i | −0.341355 | − | 0.365344i | ||||
\(973\) | −4.70554 | + | 2.56117i | −0.150853 | + | 0.0821074i | ||||
\(974\) | 6.18190 | + | 10.7074i | 0.198081 | + | 0.343086i | ||||
\(975\) | −5.57179 | + | 10.7542i | −0.178440 | + | 0.344410i | ||||
\(976\) | −6.04163 | − | 10.4644i | −0.193388 | − | 0.334958i | ||||
\(977\) | 4.79893 | + | 8.31198i | 0.153531 | + | 0.265924i | 0.932523 | − | 0.361110i | \(-0.117602\pi\) |
−0.778992 | + | 0.627034i | \(0.784269\pi\) | |||||||
\(978\) | 39.8587 | − | 1.81776i | 1.27454 | − | 0.0581256i | ||||
\(979\) | 4.97296 | + | 8.61342i | 0.158936 | + | 0.275286i | ||||
\(980\) | −1.75010 | + | 2.70709i | −0.0559048 | + | 0.0864748i | ||||
\(981\) | −9.44805 | + | 20.4684i | −0.301653 | + | 0.653506i | ||||
\(982\) | 0.207004 | + | 0.358541i | 0.00660575 | + | 0.0114415i | ||||
\(983\) | −46.8535 | −1.49439 | −0.747197 | − | 0.664603i | \(-0.768601\pi\) | ||||
−0.747197 | + | 0.664603i | \(0.768601\pi\) | |||||||
\(984\) | −0.753696 | + | 1.45472i | −0.0240269 | + | 0.0463748i | ||||
\(985\) | −5.86400 | −0.186843 | ||||||||
\(986\) | −16.7558 | + | 29.0220i | −0.533614 | + | 0.924247i | ||||
\(987\) | −9.12588 | + | 5.52032i | −0.290480 | + | 0.175714i | ||||
\(988\) | 2.96050 | + | 5.12774i | 0.0941862 | + | 0.163135i | ||||
\(989\) | 5.28434 | + | 9.15274i | 0.168032 | + | 0.291040i | ||||
\(990\) | −2.11196 | + | 4.57539i | −0.0671225 | + | 0.145415i | ||||
\(991\) | 10.8260 | − | 18.7511i | 0.343898 | − | 0.595649i | −0.641255 | − | 0.767328i | \(-0.721586\pi\) |
0.985153 | + | 0.171679i | \(0.0549192\pi\) | |||||||
\(992\) | 0.257295 | − | 0.445647i | 0.00816911 | − | 0.0141493i | ||||
\(993\) | −21.9466 | + | 42.3595i | −0.696454 | + | 1.34424i | ||||
\(994\) | −3.90350 | + | 2.12463i | −0.123811 | + | 0.0673891i | ||||
\(995\) | 0.678304 | − | 1.17486i | 0.0215037 | − | 0.0372455i | ||||
\(996\) | 5.29679 | − | 10.2234i | 0.167835 | − | 0.323941i | ||||
\(997\) | −57.2379 | −1.81274 | −0.906372 | − | 0.422481i | \(-0.861159\pi\) | ||||
−0.906372 | + | 0.422481i | \(0.861159\pi\) | |||||||
\(998\) | 0.461967 | − | 0.800151i | 0.0146233 | − | 0.0253283i | ||||
\(999\) | −29.0292 | − | 37.3790i | −0.918443 | − | 1.18262i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))