Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [370,2,Mod(97,370)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(370, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([3, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("370.97");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 370 = 2 \cdot 5 \cdot 37 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 370.q (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.95446487479\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{12})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{12} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{12} - 2x^{11} - 4x^{10} + 6x^{8} + 44x^{7} + 56x^{6} + 32x^{5} + 92x^{4} - 16x^{3} + 36x^{2} - 24x + 4 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 273.1 | ||
Root | \(-0.208144 + 0.776804i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 370.273 |
Dual form | 370.2.q.d.267.1 |
$q$-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 \(\left(\mathbb{Z}/370\mathbb{Z}\right)^\times\).
\(n\) | \(261\) | \(297\) |
\(\chi(n)\) | \(e\left(\frac{11}{12}\right)\) | \(e\left(\frac{3}{4}\right)\) |
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 | ||||
\(3\) | −2.78144 | − | 0.745286i | −1.60587 | − | 0.430291i | −0.659060 | − | 0.752090i | \(-0.729046\pi\) |
−0.946808 | + | 0.321799i | \(0.895712\pi\) | |||||||
\(4\) | −0.500000 | − | 0.866025i | −0.250000 | − | 0.433013i | ||||
\(5\) | −2.02520 | − | 0.947920i | −0.905698 | − | 0.423923i | ||||
\(6\) | 2.03616 | − | 2.03616i | 0.831258 | − | 0.831258i | ||||
\(7\) | −4.90683 | − | 1.31478i | −1.85461 | − | 0.496940i | −0.854846 | − | 0.518881i | \(-0.826349\pi\) |
−0.999759 | + | 0.0219412i | \(0.993015\pi\) | |||||||
\(8\) | 1.00000 | 0.353553 | ||||||||
\(9\) | 4.58291 | + | 2.64594i | 1.52764 | + | 0.881981i | ||||
\(10\) | 1.83352 | − | 1.27992i | 0.579811 | − | 0.404745i | ||||
\(11\) | − | 0.446393i | − | 0.134592i | −0.997733 | − | 0.0672962i | \(-0.978563\pi\) | ||
0.997733 | − | 0.0672962i | \(-0.0214373\pi\) | |||||||
\(12\) | 0.745286 | + | 2.78144i | 0.215145 | + | 0.802934i | ||||
\(13\) | 2.31524 | + | 4.01012i | 0.642133 | + | 1.11221i | 0.984956 | + | 0.172806i | \(0.0552834\pi\) |
−0.342823 | + | 0.939400i | \(0.611383\pi\) | |||||||
\(14\) | 3.59205 | − | 3.59205i | 0.960014 | − | 0.960014i | ||||
\(15\) | 4.92652 | + | 4.14594i | 1.27202 | + | 1.07048i | ||||
\(16\) | −0.500000 | + | 0.866025i | −0.125000 | + | 0.216506i | ||||
\(17\) | −0.535731 | − | 0.309305i | −0.129934 | − | 0.0750174i | 0.433624 | − | 0.901094i | \(-0.357235\pi\) |
−0.563558 | + | 0.826076i | \(0.690568\pi\) | |||||||
\(18\) | −4.58291 | + | 2.64594i | −1.08020 | + | 0.623655i | ||||
\(19\) | 1.21232 | − | 4.52445i | 0.278126 | − | 1.03798i | −0.675591 | − | 0.737276i | \(-0.736112\pi\) |
0.953717 | − | 0.300704i | \(-0.0972217\pi\) | |||||||
\(20\) | 0.191679 | + | 2.22784i | 0.0428606 | + | 0.498160i | ||||
\(21\) | 12.6682 | + | 7.31397i | 2.76442 | + | 1.59604i | ||||
\(22\) | 0.386587 | + | 0.223196i | 0.0824207 | + | 0.0475856i | ||||
\(23\) | 2.27723 | 0.474836 | 0.237418 | − | 0.971408i | \(-0.423699\pi\) | ||||
0.237418 | + | 0.971408i | \(0.423699\pi\) | |||||||
\(24\) | −2.78144 | − | 0.745286i | −0.567760 | − | 0.152131i | ||||
\(25\) | 3.20289 | + | 3.83946i | 0.640579 | + | 0.767892i | ||||
\(26\) | −4.63048 | −0.908113 | ||||||||
\(27\) | −4.66664 | − | 4.66664i | −0.898096 | − | 0.898096i | ||||
\(28\) | 1.31478 | + | 4.90683i | 0.248470 | + | 0.927303i | ||||
\(29\) | −4.05041 | + | 4.05041i | −0.752142 | + | 0.752142i | −0.974879 | − | 0.222737i | \(-0.928501\pi\) |
0.222737 | + | 0.974879i | \(0.428501\pi\) | |||||||
\(30\) | −6.05375 | + | 2.19352i | −1.10526 | + | 0.400480i | ||||
\(31\) | 0.176164 | + | 0.176164i | 0.0316400 | + | 0.0316400i | 0.722750 | − | 0.691110i | \(-0.242878\pi\) |
−0.691110 | + | 0.722750i | \(0.742878\pi\) | |||||||
\(32\) | −0.500000 | − | 0.866025i | −0.0883883 | − | 0.153093i | ||||
\(33\) | −0.332690 | + | 1.24162i | −0.0579139 | + | 0.216138i | ||||
\(34\) | 0.535731 | − | 0.309305i | 0.0918771 | − | 0.0530453i | ||||
\(35\) | 8.69101 | + | 7.31397i | 1.46905 | + | 1.23629i | ||||
\(36\) | − | 5.29189i | − | 0.881981i | ||||||
\(37\) | −3.72164 | − | 4.81138i | −0.611834 | − | 0.790986i | ||||
\(38\) | 3.31213 | + | 3.31213i | 0.537298 | + | 0.537298i | ||||
\(39\) | −3.45103 | − | 12.8794i | −0.552608 | − | 2.06236i | ||||
\(40\) | −2.02520 | − | 0.947920i | −0.320213 | − | 0.149879i | ||||
\(41\) | −3.38733 | + | 1.95567i | −0.529012 | + | 0.305425i | −0.740614 | − | 0.671931i | \(-0.765465\pi\) |
0.211602 | + | 0.977356i | \(0.432132\pi\) | |||||||
\(42\) | −12.6682 | + | 7.31397i | −1.95474 | + | 1.12857i | ||||
\(43\) | 8.15549 | 1.24370 | 0.621850 | − | 0.783136i | \(-0.286381\pi\) | ||||
0.621850 | + | 0.783136i | \(0.286381\pi\) | |||||||
\(44\) | −0.386587 | + | 0.223196i | −0.0582803 | + | 0.0336481i | ||||
\(45\) | −6.77317 | − | 9.70280i | −1.00969 | − | 1.44641i | ||||
\(46\) | −1.13862 | + | 1.97214i | −0.167880 | + | 0.290776i | ||||
\(47\) | −6.46505 | + | 6.46505i | −0.943025 | + | 0.943025i | −0.998462 | − | 0.0554376i | \(-0.982345\pi\) |
0.0554376 | + | 0.998462i | \(0.482345\pi\) | |||||||
\(48\) | 2.03616 | − | 2.03616i | 0.293894 | − | 0.293894i | ||||
\(49\) | 16.2861 | + | 9.40279i | 2.32659 | + | 1.34326i | ||||
\(50\) | −4.92652 | + | 0.854057i | −0.696715 | + | 0.120782i | ||||
\(51\) | 1.25959 | + | 1.25959i | 0.176377 | + | 0.176377i | ||||
\(52\) | 2.31524 | − | 4.01012i | 0.321066 | − | 0.556103i | ||||
\(53\) | 8.08498 | − | 2.16636i | 1.11056 | − | 0.297573i | 0.343501 | − | 0.939152i | \(-0.388387\pi\) |
0.767057 | + | 0.641580i | \(0.221721\pi\) | |||||||
\(54\) | 6.37475 | − | 1.70811i | 0.867494 | − | 0.232444i | ||||
\(55\) | −0.423145 | + | 0.904036i | −0.0570568 | + | 0.121900i | ||||
\(56\) | −4.90683 | − | 1.31478i | −0.655702 | − | 0.175695i | ||||
\(57\) | −6.74402 | + | 11.6810i | −0.893267 | + | 1.54718i | ||||
\(58\) | −1.48255 | − | 5.53296i | −0.194669 | − | 0.726513i | ||||
\(59\) | −3.85140 | + | 1.03198i | −0.501410 | + | 0.134352i | −0.500654 | − | 0.865647i | \(-0.666907\pi\) |
−0.000755498 | 1.00000i | \(0.500240\pi\) | ||||||||
\(60\) | 1.12723 | − | 6.33946i | 0.145525 | − | 0.818421i | ||||
\(61\) | 2.05254 | − | 7.66019i | 0.262801 | − | 0.980787i | −0.700782 | − | 0.713376i | \(-0.747165\pi\) |
0.963583 | − | 0.267411i | \(-0.0861681\pi\) | |||||||
\(62\) | −0.240645 | + | 0.0644806i | −0.0305619 | + | 0.00818904i | ||||
\(63\) | −19.0087 | − | 19.0087i | −2.39487 | − | 2.39487i | ||||
\(64\) | 1.00000 | 0.125000 | ||||||||
\(65\) | −0.887564 | − | 10.3160i | −0.110089 | − | 1.27954i | ||||
\(66\) | −0.908926 | − | 0.908926i | −0.111881 | − | 0.111881i | ||||
\(67\) | 3.53962 | − | 13.2100i | 0.432433 | − | 1.61386i | −0.314701 | − | 0.949191i | \(-0.601904\pi\) |
0.747135 | − | 0.664673i | \(-0.231429\pi\) | |||||||
\(68\) | 0.618609i | 0.0750174i | ||||||||
\(69\) | −6.33399 | − | 1.69719i | −0.762523 | − | 0.204317i | ||||
\(70\) | −10.6796 | + | 3.86965i | −1.27646 | + | 0.462512i | ||||
\(71\) | 7.60300 | + | 13.1688i | 0.902310 | + | 1.56285i | 0.824488 | + | 0.565879i | \(0.191463\pi\) |
0.0778211 | + | 0.996967i | \(0.475204\pi\) | |||||||
\(72\) | 4.58291 | + | 2.64594i | 0.540101 | + | 0.311827i | ||||
\(73\) | 0.847559 | − | 0.847559i | 0.0991993 | − | 0.0991993i | −0.655765 | − | 0.754965i | \(-0.727654\pi\) |
0.754965 | + | 0.655765i | \(0.227654\pi\) | |||||||
\(74\) | 6.02760 | − | 0.817343i | 0.700694 | − | 0.0950142i | ||||
\(75\) | −6.04718 | − | 13.0663i | −0.698268 | − | 1.50877i | ||||
\(76\) | −4.52445 | + | 1.21232i | −0.518990 | + | 0.139063i | ||||
\(77\) | −0.586908 | + | 2.19037i | −0.0668844 | + | 0.249616i | ||||
\(78\) | 12.8794 | + | 3.45103i | 1.45831 | + | 0.390753i | ||||
\(79\) | −2.81870 | + | 10.5195i | −0.317128 | + | 1.18354i | 0.604863 | + | 0.796329i | \(0.293228\pi\) |
−0.921992 | + | 0.387210i | \(0.873439\pi\) | |||||||
\(80\) | 1.83352 | − | 1.27992i | 0.204994 | − | 0.143099i | ||||
\(81\) | 1.56420 | + | 2.70927i | 0.173800 | + | 0.301030i | ||||
\(82\) | − | 3.91135i | − | 0.431936i | ||||||
\(83\) | −9.97712 | + | 2.67336i | −1.09513 | + | 0.293440i | −0.760781 | − | 0.649009i | \(-0.775184\pi\) |
−0.334351 | + | 0.942449i | \(0.608517\pi\) | |||||||
\(84\) | − | 14.6279i | − | 1.59604i | ||||||
\(85\) | 0.791768 | + | 1.13423i | 0.0858793 | + | 0.123025i | ||||
\(86\) | −4.07774 | + | 7.06286i | −0.439715 | + | 0.761608i | ||||
\(87\) | 14.2847 | − | 8.24727i | 1.53148 | − | 0.884200i | ||||
\(88\) | − | 0.446393i | − | 0.0475856i | ||||||
\(89\) | 0.257339 | + | 0.960403i | 0.0272779 | + | 0.101803i | 0.978223 | − | 0.207558i | \(-0.0665516\pi\) |
−0.950945 | + | 0.309361i | \(0.899885\pi\) | |||||||
\(90\) | 11.7895 | − | 1.01434i | 1.24272 | − | 0.106921i | ||||
\(91\) | −6.08807 | − | 22.7210i | −0.638203 | − | 2.38181i | ||||
\(92\) | −1.13862 | − | 1.97214i | −0.118709 | − | 0.205610i | ||||
\(93\) | −0.358698 | − | 0.621284i | −0.0371953 | − | 0.0644241i | ||||
\(94\) | −2.36637 | − | 8.83142i | −0.244073 | − | 0.910892i | ||||
\(95\) | −6.74402 | + | 8.01375i | −0.691922 | + | 0.822193i | ||||
\(96\) | 0.745286 | + | 2.78144i | 0.0760654 | + | 0.283880i | ||||
\(97\) | 3.22099i | 0.327042i | 0.986540 | + | 0.163521i | \(0.0522852\pi\) | ||||
−0.986540 | + | 0.163521i | \(0.947715\pi\) | |||||||
\(98\) | −16.2861 | + | 9.40279i | −1.64515 | + | 0.949825i | ||||
\(99\) | 1.18113 | − | 2.04578i | 0.118708 | − | 0.205608i | ||||
\(100\) | 1.72362 | − | 4.69352i | 0.172362 | − | 0.469352i | ||||
\(101\) | 0.484925i | 0.0482518i | 0.999709 | + | 0.0241259i | \(0.00768026\pi\) | ||||
−0.999709 | + | 0.0241259i | \(0.992320\pi\) | |||||||
\(102\) | −1.72063 | + | 0.461041i | −0.170367 | + | 0.0456498i | ||||
\(103\) | − | 0.657767i | − | 0.0648117i | −0.999475 | − | 0.0324059i | \(-0.989683\pi\) | ||
0.999475 | − | 0.0324059i | \(-0.0103169\pi\) | |||||||
\(104\) | 2.31524 | + | 4.01012i | 0.227028 | + | 0.393224i | ||||
\(105\) | −18.7226 | − | 26.8207i | −1.82714 | − | 2.61743i | ||||
\(106\) | −2.16636 | + | 8.08498i | −0.210416 | + | 0.785283i | ||||
\(107\) | 17.7232 | + | 4.74891i | 1.71336 | + | 0.459095i | 0.976245 | − | 0.216668i | \(-0.0695189\pi\) |
0.737119 | + | 0.675763i | \(0.236186\pi\) | |||||||
\(108\) | −1.70811 | + | 6.37475i | −0.164363 | + | 0.613411i | ||||
\(109\) | 1.33113 | − | 0.356675i | 0.127499 | − | 0.0341632i | −0.194505 | − | 0.980901i | \(-0.562310\pi\) |
0.322004 | + | 0.946738i | \(0.395643\pi\) | |||||||
\(110\) | −0.571346 | − | 0.818472i | −0.0544757 | − | 0.0780382i | ||||
\(111\) | 6.76568 | + | 16.1563i | 0.642170 | + | 1.53349i | ||||
\(112\) | 3.59205 | − | 3.59205i | 0.339416 | − | 0.339416i | ||||
\(113\) | 10.0354 | + | 5.79397i | 0.944055 | + | 0.545051i | 0.891229 | − | 0.453553i | \(-0.149844\pi\) |
0.0528262 | + | 0.998604i | \(0.483177\pi\) | |||||||
\(114\) | −6.74402 | − | 11.6810i | −0.631635 | − | 1.09402i | ||||
\(115\) | −4.61186 | − | 2.15863i | −0.430058 | − | 0.201294i | ||||
\(116\) | 5.53296 | + | 1.48255i | 0.513722 | + | 0.137651i | ||||
\(117\) | 24.5040i | 2.26539i | ||||||||
\(118\) | 1.03198 | − | 3.85140i | 0.0950014 | − | 0.354550i | ||||
\(119\) | 2.22207 | + | 2.22207i | 0.203697 | + | 0.203697i | ||||
\(120\) | 4.92652 | + | 4.14594i | 0.449728 | + | 0.378471i | ||||
\(121\) | 10.8007 | 0.981885 | ||||||||
\(122\) | 5.60765 | + | 5.60765i | 0.507693 | + | 0.507693i | ||||
\(123\) | 10.8792 | − | 2.91507i | 0.980945 | − | 0.262843i | ||||
\(124\) | 0.0644806 | − | 0.240645i | 0.00579053 | − | 0.0216105i | ||||
\(125\) | −2.84701 | − | 10.8118i | −0.254644 | − | 0.967035i | ||||
\(126\) | 25.9664 | − | 6.95766i | 2.31327 | − | 0.619838i | ||||
\(127\) | 4.94902 | + | 18.4700i | 0.439154 | + | 1.63895i | 0.730925 | + | 0.682458i | \(0.239089\pi\) |
−0.291771 | + | 0.956488i | \(0.594245\pi\) | |||||||
\(128\) | −0.500000 | + | 0.866025i | −0.0441942 | + | 0.0765466i | ||||
\(129\) | −22.6840 | − | 6.07817i | −1.99722 | − | 0.535153i | ||||
\(130\) | 9.37767 | + | 4.38933i | 0.822476 | + | 0.384970i | ||||
\(131\) | −9.89179 | + | 2.65050i | −0.864250 | + | 0.231575i | −0.663600 | − | 0.748088i | \(-0.730972\pi\) |
−0.200650 | + | 0.979663i | \(0.564305\pi\) | |||||||
\(132\) | 1.24162 | − | 0.332690i | 0.108069 | − | 0.0289570i | ||||
\(133\) | −11.8973 | + | 20.6068i | −1.03163 | + | 1.78683i | ||||
\(134\) | 9.67042 | + | 9.67042i | 0.835397 | + | 0.835397i | ||||
\(135\) | 5.02729 | + | 13.8745i | 0.432681 | + | 1.19413i | ||||
\(136\) | −0.535731 | − | 0.309305i | −0.0459386 | − | 0.0265226i | ||||
\(137\) | −6.63885 | + | 6.63885i | −0.567195 | + | 0.567195i | −0.931342 | − | 0.364147i | \(-0.881361\pi\) |
0.364147 | + | 0.931342i | \(0.381361\pi\) | |||||||
\(138\) | 4.63680 | − | 4.63680i | 0.394711 | − | 0.394711i | ||||
\(139\) | 5.37396 | − | 9.30797i | 0.455813 | − | 0.789492i | −0.542921 | − | 0.839784i | \(-0.682682\pi\) |
0.998735 | + | 0.0502920i | \(0.0160152\pi\) | |||||||
\(140\) | 1.98858 | − | 11.1836i | 0.168066 | − | 0.945189i | ||||
\(141\) | 22.8005 | − | 13.1639i | 1.92015 | − | 1.10860i | ||||
\(142\) | −15.2060 | −1.27606 | ||||||||
\(143\) | 1.79009 | − | 1.03351i | 0.149695 | − | 0.0864262i | ||||
\(144\) | −4.58291 | + | 2.64594i | −0.381909 | + | 0.220495i | ||||
\(145\) | 12.0424 | − | 4.36343i | 1.00006 | − | 0.362363i | ||||
\(146\) | 0.310228 | + | 1.15779i | 0.0256747 | + | 0.0958192i | ||||
\(147\) | −38.2911 | − | 38.2911i | −3.15820 | − | 3.15820i | ||||
\(148\) | −2.30596 | + | 5.62873i | −0.189549 | + | 0.462678i | ||||
\(149\) | 5.11448i | 0.418995i | 0.977809 | + | 0.209497i | \(0.0671828\pi\) | ||||
−0.977809 | + | 0.209497i | \(0.932817\pi\) | |||||||
\(150\) | 14.3394 | + | 1.29615i | 1.17080 | + | 0.105830i | ||||
\(151\) | −11.0417 | + | 6.37493i | −0.898561 | + | 0.518784i | −0.876733 | − | 0.480978i | \(-0.840282\pi\) |
−0.0218277 | + | 0.999762i | \(0.506949\pi\) | |||||||
\(152\) | 1.21232 | − | 4.52445i | 0.0983324 | − | 0.366981i | ||||
\(153\) | −1.63680 | − | 2.83503i | −0.132328 | − | 0.229198i | ||||
\(154\) | −1.60346 | − | 1.60346i | −0.129211 | − | 0.129211i | ||||
\(155\) | −0.189779 | − | 0.523758i | −0.0152434 | − | 0.0420693i | ||||
\(156\) | −9.42840 | + | 9.42840i | −0.754876 | + | 0.754876i | ||||
\(157\) | 2.30172 | + | 8.59015i | 0.183698 | + | 0.685569i | 0.994906 | + | 0.100811i | \(0.0321438\pi\) |
−0.811208 | + | 0.584758i | \(0.801190\pi\) | |||||||
\(158\) | −7.70083 | − | 7.70083i | −0.612645 | − | 0.612645i | ||||
\(159\) | −24.1025 | −1.91145 | ||||||||
\(160\) | 0.191679 | + | 2.22784i | 0.0151535 | + | 0.176126i | ||||
\(161\) | −11.1740 | − | 2.99406i | −0.880633 | − | 0.235965i | ||||
\(162\) | −3.12839 | −0.245790 | ||||||||
\(163\) | −5.34325 | − | 3.08493i | −0.418516 | − | 0.241630i | 0.275926 | − | 0.961179i | \(-0.411015\pi\) |
−0.694442 | + | 0.719549i | \(0.744349\pi\) | |||||||
\(164\) | 3.38733 | + | 1.95567i | 0.264506 | + | 0.152713i | ||||
\(165\) | 1.85072 | − | 2.19916i | 0.144078 | − | 0.171205i | ||||
\(166\) | 2.67336 | − | 9.97712i | 0.207493 | − | 0.774375i | ||||
\(167\) | −3.86637 | + | 2.23225i | −0.299188 | + | 0.172736i | −0.642078 | − | 0.766639i | \(-0.721928\pi\) |
0.342890 | + | 0.939376i | \(0.388594\pi\) | |||||||
\(168\) | 12.6682 | + | 7.31397i | 0.977371 | + | 0.564285i | ||||
\(169\) | −4.22069 | + | 7.31045i | −0.324668 | + | 0.562342i | ||||
\(170\) | −1.37816 | + | 0.118574i | −0.105700 | + | 0.00909422i | ||||
\(171\) | 17.5274 | − | 17.5274i | 1.34035 | − | 1.34035i | ||||
\(172\) | −4.07774 | − | 7.06286i | −0.310925 | − | 0.538538i | ||||
\(173\) | 2.80128 | + | 10.4545i | 0.212977 | + | 0.794843i | 0.986869 | + | 0.161524i | \(0.0516410\pi\) |
−0.773891 | + | 0.633318i | \(0.781692\pi\) | |||||||
\(174\) | 16.4945i | 1.25045i | ||||||||
\(175\) | −10.6680 | − | 23.0507i | −0.806425 | − | 1.74247i | ||||
\(176\) | 0.386587 | + | 0.223196i | 0.0291401 | + | 0.0168241i | ||||
\(177\) | 11.4816 | 0.863008 | ||||||||
\(178\) | −0.960403 | − | 0.257339i | −0.0719853 | − | 0.0192884i | ||||
\(179\) | −17.2035 | + | 17.2035i | −1.28585 | + | 1.28585i | −0.348562 | + | 0.937286i | \(0.613330\pi\) |
−0.937286 | + | 0.348562i | \(0.886670\pi\) | |||||||
\(180\) | −5.01628 | + | 10.7171i | −0.373892 | + | 0.798809i | ||||
\(181\) | 5.42208 | + | 9.39132i | 0.403020 | + | 0.698051i | 0.994089 | − | 0.108570i | \(-0.0346271\pi\) |
−0.591069 | + | 0.806621i | \(0.701294\pi\) | |||||||
\(182\) | 22.7210 | + | 6.08807i | 1.68419 | + | 0.451277i | ||||
\(183\) | −11.4181 | + | 19.7767i | −0.844047 | + | 1.46193i | ||||
\(184\) | 2.27723 | 0.167880 | ||||||||
\(185\) | 2.97627 | + | 13.2718i | 0.218820 | + | 0.975765i | ||||
\(186\) | 0.717397 | 0.0526021 | ||||||||
\(187\) | −0.138071 | + | 0.239147i | −0.0100968 | + | 0.0174881i | ||||
\(188\) | 8.83142 | + | 2.36637i | 0.644098 | + | 0.172585i | ||||
\(189\) | 16.7628 | + | 29.0340i | 1.21931 | + | 2.11191i | ||||
\(190\) | −3.56810 | − | 9.84737i | −0.258857 | − | 0.714403i | ||||
\(191\) | −6.14580 | + | 6.14580i | −0.444694 | + | 0.444694i | −0.893586 | − | 0.448892i | \(-0.851819\pi\) |
0.448892 | + | 0.893586i | \(0.351819\pi\) | |||||||
\(192\) | −2.78144 | − | 0.745286i | −0.200733 | − | 0.0537864i | ||||
\(193\) | 3.70441 | 0.266649 | 0.133325 | − | 0.991072i | \(-0.457435\pi\) | ||||
0.133325 | + | 0.991072i | \(0.457435\pi\) | |||||||
\(194\) | −2.78946 | − | 1.61050i | −0.200272 | − | 0.115627i | ||||
\(195\) | −5.21963 | + | 29.3548i | −0.373786 | + | 2.10214i | ||||
\(196\) | − | 18.8056i | − | 1.34326i | ||||||
\(197\) | −1.20574 | − | 4.49989i | −0.0859055 | − | 0.320604i | 0.909579 | − | 0.415532i | \(-0.136405\pi\) |
−0.995484 | + | 0.0949282i | \(0.969738\pi\) | |||||||
\(198\) | 1.18113 | + | 2.04578i | 0.0839392 | + | 0.145387i | ||||
\(199\) | 9.35671 | − | 9.35671i | 0.663280 | − | 0.663280i | −0.292872 | − | 0.956152i | \(-0.594611\pi\) |
0.956152 | + | 0.292872i | \(0.0946110\pi\) | |||||||
\(200\) | 3.20289 | + | 3.83946i | 0.226479 | + | 0.271491i | ||||
\(201\) | −19.6905 | + | 34.1050i | −1.38886 | + | 2.40558i | ||||
\(202\) | −0.419957 | − | 0.242462i | −0.0295481 | − | 0.0170596i | ||||
\(203\) | 25.2000 | − | 14.5492i | 1.76870 | − | 1.02116i | ||||
\(204\) | 0.461041 | − | 1.72063i | 0.0322793 | − | 0.120468i | ||||
\(205\) | 8.71385 | − | 0.749722i | 0.608602 | − | 0.0523628i | ||||
\(206\) | 0.569643 | + | 0.328883i | 0.0396889 | + | 0.0229144i | ||||
\(207\) | 10.4363 | + | 6.02542i | 0.725376 | + | 0.418796i | ||||
\(208\) | −4.63048 | −0.321066 | ||||||||
\(209\) | −2.01968 | − | 0.541172i | −0.139704 | − | 0.0374337i | ||||
\(210\) | 32.5887 | − | 2.80386i | 2.24883 | − | 0.193485i | ||||
\(211\) | −6.67374 | −0.459439 | −0.229720 | − | 0.973257i | \(-0.573781\pi\) | ||||
−0.229720 | + | 0.973257i | \(0.573781\pi\) | |||||||
\(212\) | −5.91862 | − | 5.91862i | −0.406492 | − | 0.406492i | ||||
\(213\) | −11.3328 | − | 42.2946i | −0.776511 | − | 2.89798i | ||||
\(214\) | −12.9743 | + | 12.9743i | −0.886903 | + | 0.886903i | ||||
\(215\) | −16.5165 | − | 7.73075i | −1.12642 | − | 0.527233i | ||||
\(216\) | −4.66664 | − | 4.66664i | −0.317525 | − | 0.317525i | ||||
\(217\) | −0.632790 | − | 1.09602i | −0.0429566 | − | 0.0744030i | ||||
\(218\) | −0.356675 | + | 1.33113i | −0.0241571 | + | 0.0901554i | ||||
\(219\) | −2.98911 | + | 1.72577i | −0.201986 | + | 0.116616i | ||||
\(220\) | 0.994490 | − | 0.0855639i | 0.0670485 | − | 0.00576872i | ||||
\(221\) | − | 2.86446i | − | 0.192684i | ||||||
\(222\) | −17.3746 | − | 2.21889i | −1.16611 | − | 0.148922i | ||||
\(223\) | 3.72140 | + | 3.72140i | 0.249203 | + | 0.249203i | 0.820644 | − | 0.571440i | \(-0.193615\pi\) |
−0.571440 | + | 0.820644i | \(0.693615\pi\) | |||||||
\(224\) | 1.31478 | + | 4.90683i | 0.0878474 | + | 0.327851i | ||||
\(225\) | 4.51957 | + | 26.0706i | 0.301305 | + | 1.73804i | ||||
\(226\) | −10.0354 | + | 5.79397i | −0.667548 | + | 0.385409i | ||||
\(227\) | 15.1690 | − | 8.75783i | 1.00680 | − | 0.581278i | 0.0965487 | − | 0.995328i | \(-0.469220\pi\) |
0.910254 | + | 0.414051i | \(0.135886\pi\) | |||||||
\(228\) | 13.4880 | 0.893267 | ||||||||
\(229\) | 14.5294 | − | 8.38857i | 0.960132 | − | 0.554332i | 0.0639183 | − | 0.997955i | \(-0.479640\pi\) |
0.896214 | + | 0.443623i | \(0.146307\pi\) | |||||||
\(230\) | 4.17536 | − | 2.91467i | 0.275315 | − | 0.192187i | ||||
\(231\) | 3.26491 | − | 5.65498i | 0.214815 | − | 0.372070i | ||||
\(232\) | −4.05041 | + | 4.05041i | −0.265922 | + | 0.265922i | ||||
\(233\) | 7.10588 | − | 7.10588i | 0.465521 | − | 0.465521i | −0.434939 | − | 0.900460i | \(-0.643230\pi\) |
0.900460 | + | 0.434939i | \(0.143230\pi\) | |||||||
\(234\) | −21.2211 | − | 12.2520i | −1.38727 | − | 0.800938i | ||||
\(235\) | 19.2214 | − | 6.96469i | 1.25387 | − | 0.454326i | ||||
\(236\) | 2.81942 | + | 2.81942i | 0.183529 | + | 0.183529i | ||||
\(237\) | 15.6801 | − | 27.1587i | 1.01853 | − | 1.76415i | ||||
\(238\) | −3.03541 | + | 0.813335i | −0.196756 | + | 0.0527207i | ||||
\(239\) | 3.48667 | − | 0.934251i | 0.225534 | − | 0.0604317i | −0.144282 | − | 0.989537i | \(-0.546087\pi\) |
0.369816 | + | 0.929105i | \(0.379421\pi\) | |||||||
\(240\) | −6.05375 | + | 2.19352i | −0.390768 | + | 0.141591i | ||||
\(241\) | 17.2137 | + | 4.61239i | 1.10883 | + | 0.297110i | 0.766356 | − | 0.642417i | \(-0.222068\pi\) |
0.342475 | + | 0.939527i | \(0.388735\pi\) | |||||||
\(242\) | −5.40037 | + | 9.35371i | −0.347149 | + | 0.601279i | ||||
\(243\) | 2.79278 | + | 10.4228i | 0.179157 | + | 0.668623i | ||||
\(244\) | −7.66019 | + | 2.05254i | −0.490393 | + | 0.131401i | ||||
\(245\) | −24.0696 | − | 34.4805i | −1.53775 | − | 2.20288i | ||||
\(246\) | −2.91507 | + | 10.8792i | −0.185858 | + | 0.693633i | ||||
\(247\) | 20.9504 | − | 5.61364i | 1.33304 | − | 0.357187i | ||||
\(248\) | 0.176164 | + | 0.176164i | 0.0111864 | + | 0.0111864i | ||||
\(249\) | 29.7432 | 1.88490 | ||||||||
\(250\) | 10.7868 | + | 2.94031i | 0.682216 | + | 0.185961i | ||||
\(251\) | 4.01101 | + | 4.01101i | 0.253173 | + | 0.253173i | 0.822270 | − | 0.569097i | \(-0.192707\pi\) |
−0.569097 | + | 0.822270i | \(0.692707\pi\) | |||||||
\(252\) | −6.95766 | + | 25.9664i | −0.438292 | + | 1.63573i | ||||
\(253\) | − | 1.01654i | − | 0.0639093i | ||||||
\(254\) | −18.4700 | − | 4.94902i | −1.15891 | − | 0.310529i | ||||
\(255\) | −1.35693 | − | 3.74491i | −0.0849743 | − | 0.234515i | ||||
\(256\) | −0.500000 | − | 0.866025i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | −20.4160 | − | 11.7872i | −1.27351 | − | 0.735264i | −0.297867 | − | 0.954607i | \(-0.596275\pi\) |
−0.975648 | + | 0.219343i | \(0.929608\pi\) | |||||||
\(258\) | 16.6059 | − | 16.6059i | 1.03384 | − | 1.03384i | ||||
\(259\) | 11.9355 | + | 28.5017i | 0.741637 | + | 1.77101i | ||||
\(260\) | −8.49010 | + | 5.92664i | −0.526534 | + | 0.367554i | ||||
\(261\) | −29.2798 | + | 7.84549i | −1.81237 | + | 0.485624i | ||||
\(262\) | 2.65050 | − | 9.89179i | 0.163748 | − | 0.611117i | ||||
\(263\) | −8.39907 | − | 2.25052i | −0.517909 | − | 0.138773i | −0.00960954 | − | 0.999954i | \(-0.503059\pi\) |
−0.508299 | + | 0.861181i | \(0.669726\pi\) | |||||||
\(264\) | −0.332690 | + | 1.24162i | −0.0204757 | + | 0.0764162i | ||||
\(265\) | −18.4273 | − | 3.27659i | −1.13198 | − | 0.201279i | ||||
\(266\) | −11.8973 | − | 20.6068i | −0.729471 | − | 1.26348i | ||||
\(267\) | − | 2.86310i | − | 0.175219i | ||||||
\(268\) | −13.2100 | + | 3.53962i | −0.806932 | + | 0.216217i | ||||
\(269\) | − | 13.4213i | − | 0.818309i | −0.912465 | − | 0.409154i | \(-0.865824\pi\) | ||
0.912465 | − | 0.409154i | \(-0.134176\pi\) | |||||||
\(270\) | −14.5293 | − | 2.58349i | −0.884226 | − | 0.157226i | ||||
\(271\) | 5.78410 | − | 10.0183i | 0.351359 | − | 0.608571i | −0.635129 | − | 0.772406i | \(-0.719053\pi\) |
0.986488 | + | 0.163835i | \(0.0523864\pi\) | |||||||
\(272\) | 0.535731 | − | 0.309305i | 0.0324835 | − | 0.0187543i | ||||
\(273\) | 67.7345i | 4.09948i | ||||||||
\(274\) | −2.42999 | − | 9.06883i | −0.146801 | − | 0.547868i | ||||
\(275\) | 1.71391 | − | 1.42975i | 0.103353 | − | 0.0862171i | ||||
\(276\) | 1.69719 | + | 6.33399i | 0.102159 | + | 0.381262i | ||||
\(277\) | −0.488351 | − | 0.845849i | −0.0293422 | − | 0.0508221i | 0.850981 | − | 0.525196i | \(-0.176008\pi\) |
−0.880324 | + | 0.474374i | \(0.842675\pi\) | |||||||
\(278\) | 5.37396 | + | 9.30797i | 0.322309 | + | 0.558255i | ||||
\(279\) | 0.341224 | + | 1.27346i | 0.0204285 | + | 0.0762403i | ||||
\(280\) | 8.69101 | + | 7.31397i | 0.519387 | + | 0.437094i | ||||
\(281\) | −3.61332 | − | 13.4851i | −0.215553 | − | 0.804454i | −0.985971 | − | 0.166915i | \(-0.946619\pi\) |
0.770419 | − | 0.637538i | \(-0.220047\pi\) | |||||||
\(282\) | 26.3277i | 1.56779i | ||||||||
\(283\) | −0.359942 | + | 0.207813i | −0.0213963 | + | 0.0123532i | −0.510660 | − | 0.859783i | \(-0.670599\pi\) |
0.489264 | + | 0.872136i | \(0.337266\pi\) | |||||||
\(284\) | 7.60300 | − | 13.1688i | 0.451155 | − | 0.781423i | ||||
\(285\) | 24.7306 | − | 17.2636i | 1.46492 | − | 1.02261i | ||||
\(286\) | 2.06701i | 0.122225i | ||||||||
\(287\) | 19.1923 | − | 5.14256i | 1.13289 | − | 0.303556i | ||||
\(288\) | − | 5.29189i | − | 0.311827i | ||||||
\(289\) | −8.30866 | − | 14.3910i | −0.488745 | − | 0.846531i | ||||
\(290\) | −2.24233 | + | 12.6107i | −0.131674 | + | 0.740526i | ||||
\(291\) | 2.40056 | − | 8.95901i | 0.140723 | − | 0.525186i | ||||
\(292\) | −1.15779 | − | 0.310228i | −0.0677544 | − | 0.0181547i | ||||
\(293\) | −0.438909 | + | 1.63803i | −0.0256413 | + | 0.0956948i | −0.977561 | − | 0.210654i | \(-0.932441\pi\) |
0.951919 | + | 0.306349i | \(0.0991074\pi\) | |||||||
\(294\) | 52.3067 | − | 14.0155i | 3.05059 | − | 0.817402i | ||||
\(295\) | 8.77810 | + | 1.56085i | 0.511081 | + | 0.0908763i | ||||
\(296\) | −3.72164 | − | 4.81138i | −0.216316 | − | 0.279656i | ||||
\(297\) | −2.08316 | + | 2.08316i | −0.120877 | + | 0.120877i | ||||
\(298\) | −4.42927 | − | 2.55724i | −0.256581 | − | 0.148137i | ||||
\(299\) | 5.27234 | + | 9.13196i | 0.304907 | + | 0.528115i | ||||
\(300\) | −8.29218 | + | 11.7702i | −0.478749 | + | 0.679551i | ||||
\(301\) | −40.0176 | − | 10.7227i | −2.30657 | − | 0.618045i | ||||
\(302\) | − | 12.7499i | − | 0.733672i | ||||||
\(303\) | 0.361407 | − | 1.34879i | 0.0207623 | − | 0.0774860i | ||||
\(304\) | 3.31213 | + | 3.31213i | 0.189964 | + | 0.189964i | ||||
\(305\) | −11.4181 | + | 13.5678i | −0.653796 | + | 0.776890i | ||||
\(306\) | 3.27361 | 0.187140 | ||||||||
\(307\) | 17.6114 | + | 17.6114i | 1.00514 | + | 1.00514i | 0.999987 | + | 0.00514878i | \(0.00163891\pi\) |
0.00514878 | + | 0.999987i | \(0.498361\pi\) | |||||||
\(308\) | 2.19037 | − | 0.586908i | 0.124808 | − | 0.0334422i | ||||
\(309\) | −0.490224 | + | 1.82954i | −0.0278879 | + | 0.104079i | ||||
\(310\) | 0.548477 | + | 0.0975258i | 0.0311514 | + | 0.00553909i | ||||
\(311\) | 29.5971 | − | 7.93052i | 1.67830 | − | 0.449699i | 0.710969 | − | 0.703223i | \(-0.248256\pi\) |
0.967329 | + | 0.253524i | \(0.0815898\pi\) | |||||||
\(312\) | −3.45103 | − | 12.8794i | −0.195376 | − | 0.729154i | ||||
\(313\) | −8.47539 | + | 14.6798i | −0.479058 | + | 0.829752i | −0.999712 | − | 0.0240156i | \(-0.992355\pi\) |
0.520654 | + | 0.853768i | \(0.325688\pi\) | |||||||
\(314\) | −8.59015 | − | 2.30172i | −0.484770 | − | 0.129894i | ||||
\(315\) | 20.4777 | + | 56.5152i | 1.15379 | + | 3.18427i | ||||
\(316\) | 10.5195 | − | 2.81870i | 0.591770 | − | 0.158564i | ||||
\(317\) | 13.6013 | − | 3.64446i | 0.763926 | − | 0.204693i | 0.144240 | − | 0.989543i | \(-0.453926\pi\) |
0.619686 | + | 0.784849i | \(0.287260\pi\) | |||||||
\(318\) | 12.0512 | − | 20.8734i | 0.675800 | − | 1.17052i | ||||
\(319\) | 1.80807 | + | 1.80807i | 0.101233 | + | 0.101233i | ||||
\(320\) | −2.02520 | − | 0.947920i | −0.113212 | − | 0.0529903i | ||||
\(321\) | −45.7568 | − | 26.4177i | −2.55389 | − | 1.47449i | ||||
\(322\) | 8.17992 | − | 8.17992i | 0.455849 | − | 0.455849i | ||||
\(323\) | −2.04891 | + | 2.04891i | −0.114005 | + | 0.114005i | ||||
\(324\) | 1.56420 | − | 2.70927i | 0.0868998 | − | 0.150515i | ||||
\(325\) | −7.98121 | + | 21.7333i | −0.442718 | + | 1.20554i | ||||
\(326\) | 5.34325 | − | 3.08493i | 0.295935 | − | 0.170858i | ||||
\(327\) | −3.96828 | −0.219447 | ||||||||
\(328\) | −3.38733 | + | 1.95567i | −0.187034 | + | 0.107984i | ||||
\(329\) | 40.2230 | − | 23.2228i | 2.21757 | − | 1.28031i | ||||
\(330\) | 0.979171 | + | 2.70235i | 0.0539016 | + | 0.148759i | ||||
\(331\) | 4.20892 | + | 15.7079i | 0.231343 | + | 0.863385i | 0.979763 | + | 0.200160i | \(0.0641462\pi\) |
−0.748420 | + | 0.663225i | \(0.769187\pi\) | |||||||
\(332\) | 7.30376 | + | 7.30376i | 0.400846 | + | 0.400846i | ||||
\(333\) | −4.32529 | − | 31.8974i | −0.237024 | − | 1.74796i | ||||
\(334\) | − | 4.46449i | − | 0.244286i | ||||||
\(335\) | −19.6905 | + | 23.3977i | −1.07581 | + | 1.27835i | ||||
\(336\) | −12.6682 | + | 7.31397i | −0.691106 | + | 0.399010i | ||||
\(337\) | 2.86868 | − | 10.7060i | 0.156267 | − | 0.583195i | −0.842727 | − | 0.538341i | \(-0.819051\pi\) |
0.998994 | − | 0.0448539i | \(-0.0142822\pi\) | |||||||
\(338\) | −4.22069 | − | 7.31045i | −0.229575 | − | 0.397636i | ||||
\(339\) | −23.5949 | − | 23.5949i | −1.28150 | − | 1.28150i | ||||
\(340\) | 0.586392 | − | 1.25281i | 0.0318016 | − | 0.0679431i | ||||
\(341\) | 0.0786384 | − | 0.0786384i | 0.00425851 | − | 0.00425851i | ||||
\(342\) | 6.41547 | + | 23.9429i | 0.346909 | + | 1.29468i | ||||
\(343\) | −42.4062 | − | 42.4062i | −2.28972 | − | 2.28972i | ||||
\(344\) | 8.15549 | 0.439715 | ||||||||
\(345\) | 11.2188 | + | 9.44127i | 0.604001 | + | 0.508301i | ||||
\(346\) | −10.4545 | − | 2.80128i | −0.562039 | − | 0.150598i | ||||
\(347\) | 12.5415 | 0.673262 | 0.336631 | − | 0.941637i | \(-0.390713\pi\) | ||||
0.336631 | + | 0.941637i | \(0.390713\pi\) | |||||||
\(348\) | −14.2847 | − | 8.24727i | −0.765740 | − | 0.442100i | ||||
\(349\) | −14.7799 | − | 8.53318i | −0.791150 | − | 0.456770i | 0.0492174 | − | 0.998788i | \(-0.484327\pi\) |
−0.840367 | + | 0.542018i | \(0.817661\pi\) | |||||||
\(350\) | 25.2965 | + | 2.28658i | 1.35215 | + | 0.122223i | ||||
\(351\) | 7.90937 | − | 29.5182i | 0.422171 | − | 1.57556i | ||||
\(352\) | −0.386587 | + | 0.223196i | −0.0206052 | + | 0.0118964i | ||||
\(353\) | 8.29168 | + | 4.78720i | 0.441322 | + | 0.254797i | 0.704158 | − | 0.710043i | \(-0.251325\pi\) |
−0.262836 | + | 0.964840i | \(0.584658\pi\) | |||||||
\(354\) | −5.74079 | + | 9.94334i | −0.305119 | + | 0.528482i | ||||
\(355\) | −2.91466 | − | 33.8765i | −0.154694 | − | 1.79798i | ||||
\(356\) | 0.703064 | − | 0.703064i | 0.0372623 | − | 0.0372623i | ||||
\(357\) | −4.52449 | − | 7.83665i | −0.239461 | − | 0.414759i | ||||
\(358\) | −6.29691 | − | 23.5004i | −0.332802 | − | 1.24203i | ||||
\(359\) | 32.6420i | 1.72278i | 0.507945 | + | 0.861389i | \(0.330405\pi\) | ||||
−0.507945 | + | 0.861389i | \(0.669595\pi\) | |||||||
\(360\) | −6.77317 | − | 9.70280i | −0.356978 | − | 0.511383i | ||||
\(361\) | −2.54645 | − | 1.47019i | −0.134024 | − | 0.0773786i | ||||
\(362\) | −10.8442 | −0.569957 | ||||||||
\(363\) | −30.0416 | − | 8.04963i | −1.57678 | − | 0.422496i | ||||
\(364\) | −16.6329 | + | 16.6329i | −0.871801 | + | 0.871801i | ||||
\(365\) | −2.51990 | + | 0.913061i | −0.131898 | + | 0.0477918i | ||||
\(366\) | −11.4181 | − | 19.7767i | −0.596832 | − | 1.03374i | ||||
\(367\) | −17.0171 | − | 4.55973i | −0.888287 | − | 0.238016i | −0.214308 | − | 0.976766i | \(-0.568750\pi\) |
−0.673979 | + | 0.738750i | \(0.735416\pi\) | |||||||
\(368\) | −1.13862 | + | 1.97214i | −0.0593544 | + | 0.102805i | ||||
\(369\) | −20.6984 | −1.07752 | ||||||||
\(370\) | −12.9819 | − | 4.05840i | −0.674896 | − | 0.210986i | ||||
\(371\) | −42.5199 | −2.20752 | ||||||||
\(372\) | −0.358698 | + | 0.621284i | −0.0185976 | + | 0.0322121i | ||||
\(373\) | 4.27448 | + | 1.14534i | 0.221324 | + | 0.0593036i | 0.367777 | − | 0.929914i | \(-0.380119\pi\) |
−0.146453 | + | 0.989218i | \(0.546786\pi\) | |||||||
\(374\) | −0.138071 | − | 0.239147i | −0.00713950 | − | 0.0123660i | ||||
\(375\) | −0.139067 | + | 32.1942i | −0.00718138 | + | 1.66250i | ||||
\(376\) | −6.46505 | + | 6.46505i | −0.333410 | + | 0.333410i | ||||
\(377\) | −25.6203 | − | 6.86493i | −1.31951 | − | 0.353562i | ||||
\(378\) | −33.5256 | −1.72437 | ||||||||
\(379\) | −12.8893 | − | 7.44164i | −0.662079 | − | 0.382251i | 0.130990 | − | 0.991384i | \(-0.458185\pi\) |
−0.793069 | + | 0.609132i | \(0.791518\pi\) | |||||||
\(380\) | 10.3121 | + | 1.83362i | 0.529000 | + | 0.0940626i | ||||
\(381\) | − | 55.0617i | − | 2.82089i | ||||||
\(382\) | −2.24952 | − | 8.39531i | −0.115095 | − | 0.429542i | ||||
\(383\) | 0.355835 | + | 0.616325i | 0.0181823 | + | 0.0314927i | 0.874973 | − | 0.484171i | \(-0.160879\pi\) |
−0.856791 | + | 0.515664i | \(0.827545\pi\) | |||||||
\(384\) | 2.03616 | − | 2.03616i | 0.103907 | − | 0.103907i | ||||
\(385\) | 3.26491 | − | 3.87960i | 0.166395 | − | 0.197723i | ||||
\(386\) | −1.85221 | + | 3.20811i | −0.0942748 | + | 0.163289i | ||||
\(387\) | 37.3759 | + | 21.5790i | 1.89992 | + | 1.09692i | ||||
\(388\) | 2.78946 | − | 1.61050i | 0.141613 | − | 0.0817605i | ||||
\(389\) | −2.17814 | + | 8.12893i | −0.110436 | + | 0.412153i | −0.998905 | − | 0.0467836i | \(-0.985103\pi\) |
0.888469 | + | 0.458937i | \(0.151770\pi\) | |||||||
\(390\) | −22.8122 | − | 19.1977i | −1.15514 | − | 0.972114i | ||||
\(391\) | −1.21998 | − | 0.704358i | −0.0616972 | − | 0.0356209i | ||||
\(392\) | 16.2861 | + | 9.40279i | 0.822573 | + | 0.474913i | ||||
\(393\) | 29.4888 | 1.48752 | ||||||||
\(394\) | 4.49989 | + | 1.20574i | 0.226701 | + | 0.0607443i | ||||
\(395\) | 15.6801 | − | 18.6323i | 0.788952 | − | 0.937492i | ||||
\(396\) | −2.36226 | −0.118708 | ||||||||
\(397\) | −6.05500 | − | 6.05500i | −0.303892 | − | 0.303892i | 0.538643 | − | 0.842534i | \(-0.318937\pi\) |
−0.842534 | + | 0.538643i | \(0.818937\pi\) | |||||||
\(398\) | 3.42479 | + | 12.7815i | 0.171669 | + | 0.640679i | ||||
\(399\) | 48.4496 | − | 48.4496i | 2.42552 | − | 2.42552i | ||||
\(400\) | −4.92652 | + | 0.854057i | −0.246326 | + | 0.0427029i | ||||
\(401\) | 8.60825 | + | 8.60825i | 0.429876 | + | 0.429876i | 0.888586 | − | 0.458710i | \(-0.151688\pi\) |
−0.458710 | + | 0.888586i | \(0.651688\pi\) | |||||||
\(402\) | −19.6905 | − | 34.1050i | −0.982073 | − | 1.70100i | ||||
\(403\) | −0.298576 | + | 1.11430i | −0.0148731 | + | 0.0555073i | ||||
\(404\) | 0.419957 | − | 0.242462i | 0.0208936 | − | 0.0120629i | ||||
\(405\) | −0.599646 | − | 6.96955i | −0.0297966 | − | 0.346320i | ||||
\(406\) | 29.0985i | 1.44413i | ||||||||
\(407\) | −2.14777 | + | 1.66131i | −0.106461 | + | 0.0823482i | ||||
\(408\) | 1.25959 | + | 1.25959i | 0.0623588 | + | 0.0623588i | ||||
\(409\) | −3.16524 | − | 11.8128i | −0.156511 | − | 0.584107i | −0.998971 | − | 0.0453484i | \(-0.985560\pi\) |
0.842460 | − | 0.538758i | \(-0.181106\pi\) | |||||||
\(410\) | −3.70765 | + | 7.92128i | −0.183108 | + | 0.391204i | ||||
\(411\) | 23.4134 | − | 13.5177i | 1.15490 | − | 0.666781i | ||||
\(412\) | −0.569643 | + | 0.328883i | −0.0280643 | + | 0.0162029i | ||||
\(413\) | 20.2550 | 0.996682 | ||||||||
\(414\) | −10.4363 | + | 6.02542i | −0.512918 | + | 0.296133i | ||||
\(415\) | 22.7398 | + | 4.04341i | 1.11625 | + | 0.198483i | ||||
\(416\) | 2.31524 | − | 4.01012i | 0.113514 | − | 0.196612i | ||||
\(417\) | −21.8845 | + | 21.8845i | −1.07169 | + | 1.07169i | ||||
\(418\) | 1.47851 | − | 1.47851i | 0.0723163 | − | 0.0723163i | ||||
\(419\) | −10.3821 | − | 5.99408i | −0.507197 | − | 0.292830i | 0.224484 | − | 0.974478i | \(-0.427930\pi\) |
−0.731681 | + | 0.681648i | \(0.761264\pi\) | |||||||
\(420\) | −13.8661 | + | 29.6246i | −0.676598 | + | 1.44553i | ||||
\(421\) | 8.73028 | + | 8.73028i | 0.425488 | + | 0.425488i | 0.887088 | − | 0.461600i | \(-0.152725\pi\) |
−0.461600 | + | 0.887088i | \(0.652725\pi\) | |||||||
\(422\) | 3.33687 | − | 5.77963i | 0.162436 | − | 0.281348i | ||||
\(423\) | −46.7349 | + | 12.5226i | −2.27233 | + | 0.608868i | ||||
\(424\) | 8.08498 | − | 2.16636i | 0.392641 | − | 0.105208i | ||||
\(425\) | −0.528328 | − | 3.04759i | −0.0256277 | − | 0.147830i | ||||
\(426\) | 42.2946 | + | 11.3328i | 2.04918 | + | 0.549076i | ||||
\(427\) | −20.1429 | + | 34.8886i | −0.974785 | + | 1.68838i | ||||
\(428\) | −4.74891 | − | 17.7232i | −0.229547 | − | 0.856682i | ||||
\(429\) | −5.74929 | + | 1.54052i | −0.277578 | + | 0.0743768i | ||||
\(430\) | 14.9533 | − | 10.4384i | 0.721112 | − | 0.503382i | ||||
\(431\) | −3.15682 | + | 11.7814i | −0.152059 | + | 0.567490i | 0.847281 | + | 0.531145i | \(0.178238\pi\) |
−0.999339 | + | 0.0363450i | \(0.988428\pi\) | |||||||
\(432\) | 6.37475 | − | 1.70811i | 0.306705 | − | 0.0821815i | ||||
\(433\) | 10.7051 | + | 10.7051i | 0.514455 | + | 0.514455i | 0.915888 | − | 0.401433i | \(-0.131488\pi\) |
−0.401433 | + | 0.915888i | \(0.631488\pi\) | |||||||
\(434\) | 1.26558 | 0.0607498 | ||||||||
\(435\) | −36.7472 | + | 3.16165i | −1.76189 | + | 0.151590i | ||||
\(436\) | −0.974454 | − | 0.974454i | −0.0466679 | − | 0.0466679i | ||||
\(437\) | 2.76074 | − | 10.3032i | 0.132064 | − | 0.492870i | ||||
\(438\) | − | 3.45153i | − | 0.164921i | ||||||
\(439\) | 0.644478 | + | 0.172687i | 0.0307593 | + | 0.00824192i | 0.274166 | − | 0.961682i | \(-0.411598\pi\) |
−0.243407 | + | 0.969924i | \(0.578265\pi\) | |||||||
\(440\) | −0.423145 | + | 0.904036i | −0.0201726 | + | 0.0430982i | ||||
\(441\) | 49.7585 | + | 86.1842i | 2.36945 | + | 4.10401i | ||||
\(442\) | 2.48069 | + | 1.43223i | 0.117995 | + | 0.0681242i | ||||
\(443\) | 19.3512 | − | 19.3512i | 0.919404 | − | 0.919404i | −0.0775819 | − | 0.996986i | \(-0.524720\pi\) |
0.996986 | + | 0.0775819i | \(0.0247199\pi\) | |||||||
\(444\) | 10.6089 | − | 13.9374i | 0.503477 | − | 0.661439i | ||||
\(445\) | 0.389221 | − | 2.18895i | 0.0184509 | − | 0.103766i | ||||
\(446\) | −5.08353 | + | 1.36213i | −0.240712 | + | 0.0644986i | ||||
\(447\) | 3.81175 | − | 14.2257i | 0.180290 | − | 0.672850i | ||||
\(448\) | −4.90683 | − | 1.31478i | −0.231826 | − | 0.0621175i | ||||
\(449\) | −1.19693 | + | 4.46699i | −0.0564865 | + | 0.210810i | −0.988401 | − | 0.151868i | \(-0.951471\pi\) |
0.931914 | + | 0.362679i | \(0.118138\pi\) | |||||||
\(450\) | −24.8376 | − | 9.12122i | −1.17085 | − | 0.429978i | ||||
\(451\) | 0.872999 | + | 1.51208i | 0.0411079 | + | 0.0712010i | ||||
\(452\) | − | 11.5879i | − | 0.545051i | ||||||
\(453\) | 35.4630 | − | 9.50229i | 1.66620 | − | 0.446456i | ||||
\(454\) | 17.5157i | 0.822051i | ||||||||
\(455\) | −9.20810 | + | 51.7856i | −0.431682 | + | 2.42775i | ||||
\(456\) | −6.74402 | + | 11.6810i | −0.315818 | + | 0.547012i | ||||
\(457\) | −2.44032 | + | 1.40892i | −0.114154 | + | 0.0659066i | −0.555990 | − | 0.831189i | \(-0.687661\pi\) |
0.441836 | + | 0.897096i | \(0.354327\pi\) | |||||||
\(458\) | 16.7771i | 0.783944i | ||||||||
\(459\) | 1.05665 | + | 3.94348i | 0.0493203 | + | 0.184066i | ||||
\(460\) | 0.436496 | + | 5.07330i | 0.0203518 | + | 0.236544i | ||||
\(461\) | 4.84955 | + | 18.0988i | 0.225866 | + | 0.842943i | 0.982056 | + | 0.188591i | \(0.0603920\pi\) |
−0.756190 | + | 0.654352i | \(0.772941\pi\) | |||||||
\(462\) | 3.26491 | + | 5.65498i | 0.151897 | + | 0.263094i | ||||
\(463\) | 0.661825 | + | 1.14631i | 0.0307576 | + | 0.0532738i | 0.880994 | − | 0.473127i | \(-0.156875\pi\) |
−0.850237 | + | 0.526400i | \(0.823541\pi\) | |||||||
\(464\) | −1.48255 | − | 5.53296i | −0.0688257 | − | 0.256861i | ||||
\(465\) | 0.137510 | + | 1.59824i | 0.00637685 | + | 0.0741168i | ||||
\(466\) | 2.60093 | + | 9.70681i | 0.120486 | + | 0.449659i | ||||
\(467\) | − | 12.6461i | − | 0.585190i | −0.956236 | − | 0.292595i | \(-0.905481\pi\) | ||
0.956236 | − | 0.292595i | \(-0.0945188\pi\) | |||||||
\(468\) | 21.2211 | − | 12.2520i | 0.980945 | − | 0.566349i | ||||
\(469\) | −34.7366 | + | 60.1655i | −1.60399 | + | 2.77819i | ||||
\(470\) | −3.57910 | + | 20.1286i | −0.165092 | + | 0.928461i | ||||
\(471\) | − | 25.6085i | − | 1.17998i | ||||||
\(472\) | −3.85140 | + | 1.03198i | −0.177275 | + | 0.0475007i | ||||
\(473\) | − | 3.64055i | − | 0.167393i | ||||||
\(474\) | 15.6801 | + | 27.1587i | 0.720211 | + | 1.24744i | ||||
\(475\) | 21.2544 | − | 9.83667i | 0.975219 | − | 0.451338i | ||||
\(476\) | 0.813335 | − | 3.03541i | 0.0372791 | − | 0.139128i | ||||
\(477\) | 42.7848 | + | 11.4641i | 1.95898 | + | 0.524907i | ||||
\(478\) | −0.934251 | + | 3.48667i | −0.0427316 | + | 0.159477i | ||||
\(479\) | −30.2014 | + | 8.09245i | −1.37994 | + | 0.369753i | −0.871099 | − | 0.491108i | \(-0.836592\pi\) |
−0.508840 | + | 0.860861i | \(0.669925\pi\) | |||||||
\(480\) | 1.12723 | − | 6.33946i | 0.0514509 | − | 0.289356i | ||||
\(481\) | 10.6777 | − | 26.0637i | 0.486862 | − | 1.18840i | ||||
\(482\) | −12.6013 | + | 12.6013i | −0.573973 | + | 0.573973i | ||||
\(483\) | 28.8484 | + | 16.6556i | 1.31265 | + | 0.757857i | ||||
\(484\) | −5.40037 | − | 9.35371i | −0.245471 | − | 0.425169i | ||||
\(485\) | 3.05324 | − | 6.52316i | 0.138641 | − | 0.296201i | ||||
\(486\) | −10.4228 | − | 2.79278i | −0.472788 | − | 0.126683i | ||||
\(487\) | 43.1104i | 1.95352i | 0.214340 | + | 0.976759i | \(0.431240\pi\) | ||||
−0.214340 | + | 0.976759i | \(0.568760\pi\) | |||||||
\(488\) | 2.05254 | − | 7.66019i | 0.0929142 | − | 0.346761i | ||||
\(489\) | 12.5628 | + | 12.5628i | 0.568109 | + | 0.568109i | ||||
\(490\) | 41.8958 | − | 3.60463i | 1.89266 | − | 0.162840i | ||||
\(491\) | 25.3117 | 1.14230 | 0.571150 | − | 0.820846i | \(-0.306498\pi\) | ||||
0.571150 | + | 0.820846i | \(0.306498\pi\) | |||||||
\(492\) | −7.96413 | − | 7.96413i | −0.359051 | − | 0.359051i | ||||
\(493\) | 3.42274 | − | 0.917120i | 0.154152 | − | 0.0413050i | ||||
\(494\) | −5.61364 | + | 20.9504i | −0.252570 | + | 0.942603i | ||||
\(495\) | −4.33126 | + | 3.02350i | −0.194676 | + | 0.135896i | ||||
\(496\) | −0.240645 | + | 0.0644806i | −0.0108053 | + | 0.00289526i | ||||
\(497\) | −19.9925 | − | 74.6131i | −0.896788 | − | 3.34686i | ||||
\(498\) | −14.8716 | + | 25.7584i | −0.666413 | + | 1.15426i | ||||
\(499\) | 23.7843 | + | 6.37299i | 1.06473 | + | 0.285294i | 0.748327 | − | 0.663330i | \(-0.230858\pi\) |
0.316405 | + | 0.948624i | \(0.397524\pi\) | |||||||
\(500\) | −7.93977 | + | 7.87147i | −0.355077 | + | 0.352023i | ||||
\(501\) | 12.4177 | − | 3.32732i | 0.554784 | − | 0.148654i | ||||
\(502\) | −5.47915 | + | 1.46813i | −0.244546 | + | 0.0655260i | ||||
\(503\) | −14.7528 | + | 25.5527i | −0.657797 | + | 1.13934i | 0.323388 | + | 0.946266i | \(0.395178\pi\) |
−0.981185 | + | 0.193071i | \(0.938155\pi\) | |||||||
\(504\) | −19.0087 | − | 19.0087i | −0.846714 | − | 0.846714i | ||||
\(505\) | 0.459670 | − | 0.982071i | 0.0204550 | − | 0.0437016i | ||||
\(506\) | 0.880349 | + | 0.508270i | 0.0391363 | + | 0.0225953i | ||||
\(507\) | 17.1880 | − | 17.1880i | 0.763345 | − | 0.763345i | ||||
\(508\) | 13.5210 | − | 13.5210i | 0.599896 | − | 0.599896i | ||||
\(509\) | −2.86541 | + | 4.96304i | −0.127007 | + | 0.219983i | −0.922516 | − | 0.385959i | \(-0.873870\pi\) |
0.795509 | + | 0.605942i | \(0.207204\pi\) | |||||||
\(510\) | 3.92165 | + | 0.697316i | 0.173654 | + | 0.0308777i | ||||
\(511\) | −5.27318 | + | 3.04447i | −0.233272 | + | 0.134680i | ||||
\(512\) | 1.00000 | 0.0441942 | ||||||||
\(513\) | −26.7715 | + | 15.4565i | −1.18199 | + | 0.682422i | ||||
\(514\) | 20.4160 | − | 11.7872i | 0.900511 | − | 0.519910i | ||||
\(515\) | −0.623511 | + | 1.33211i | −0.0274752 | + | 0.0586999i | ||||
\(516\) | 6.07817 | + | 22.6840i | 0.267577 | + | 0.998609i | ||||
\(517\) | 2.88595 | + | 2.88595i | 0.126924 | + | 0.126924i | ||||
\(518\) | −30.6510 | − | 3.91441i | −1.34673 | − | 0.171989i | ||||
\(519\) | − | 31.1664i | − | 1.36805i | ||||||
\(520\) | −0.887564 | − | 10.3160i | −0.0389223 | − | 0.452385i | ||||
\(521\) | −24.8121 | + | 14.3253i | −1.08704 | + | 0.627602i | −0.932786 | − | 0.360430i | \(-0.882630\pi\) |
−0.154252 | + | 0.988032i | \(0.549297\pi\) | |||||||
\(522\) | 7.84549 | − | 29.2798i | 0.343388 | − | 1.28154i | ||||
\(523\) | 4.18923 | + | 7.25595i | 0.183182 | + | 0.317281i | 0.942962 | − | 0.332899i | \(-0.108027\pi\) |
−0.759780 | + | 0.650180i | \(0.774694\pi\) | |||||||
\(524\) | 7.24129 | + | 7.24129i | 0.316337 | + | 0.316337i | ||||
\(525\) | 12.4931 | + | 72.0649i | 0.545244 | + | 3.14517i | ||||
\(526\) | 6.14854 | − | 6.14854i | 0.268089 | − | 0.268089i | ||||
\(527\) | −0.0398883 | − | 0.148865i | −0.00173756 | − | 0.00648467i | ||||
\(528\) | −0.908926 | − | 0.908926i | −0.0395559 | − | 0.0395559i | ||||
\(529\) | −17.8142 | −0.774531 | ||||||||
\(530\) | 12.0512 | − | 14.3202i | 0.523472 | − | 0.622029i | ||||
\(531\) | −20.3812 | − | 5.46112i | −0.884467 | − | 0.236992i | ||||
\(532\) | 23.7946 | 1.03163 | ||||||||
\(533\) | −15.6850 | − | 9.05572i | −0.679391 | − | 0.392247i | ||||
\(534\) | 2.47952 | + | 1.43155i | 0.107299 | + | 0.0619492i | ||||
\(535\) | −31.3915 | − | 26.4177i | −1.35717 | − | 1.14214i | ||||
\(536\) | 3.53962 | − | 13.2100i | 0.152888 | − | 0.570587i | ||||
\(537\) | 60.6720 | − | 35.0290i | 2.61819 | − | 1.51161i | ||||
\(538\) | 11.6232 | + | 6.71063i | 0.501110 | + | 0.289316i | ||||
\(539\) | 4.19734 | − | 7.27000i | 0.180792 | − | 0.313141i | ||||
\(540\) | 9.50202 | − | 11.2910i | 0.408902 | − | 0.485888i | ||||
\(541\) | −26.1818 | + | 26.1818i | −1.12564 | + | 1.12564i | −0.134764 | + | 0.990878i | \(0.543028\pi\) |
−0.990878 | + | 0.134764i | \(0.956972\pi\) | |||||||
\(542\) | 5.78410 | + | 10.0183i | 0.248448 | + | 0.430325i | ||||
\(543\) | −8.08200 | − | 30.1624i | −0.346832 | − | 1.29439i | ||||
\(544\) | 0.618609i | 0.0265226i | ||||||||
\(545\) | −3.03390 | − | 0.539465i | −0.129958 | − | 0.0231081i | ||||
\(546\) | −58.6598 | − | 33.8672i | −2.51041 | − | 1.44938i | ||||
\(547\) | −9.02187 | −0.385747 | −0.192874 | − | 0.981224i | \(-0.561781\pi\) | ||||
−0.192874 | + | 0.981224i | \(0.561781\pi\) | |||||||
\(548\) | 9.06883 | + | 2.42999i | 0.387401 | + | 0.103804i | ||||
\(549\) | 29.6750 | − | 29.6750i | 1.26650 | − | 1.26650i | ||||
\(550\) | 0.381245 | + | 2.19916i | 0.0162563 | + | 0.0937726i | ||||
\(551\) | 13.4155 | + | 23.2363i | 0.571518 | + | 0.989898i | ||||
\(552\) | −6.33399 | − | 1.69719i | −0.269593 | − | 0.0722371i | ||||
\(553\) | 27.6617 | − | 47.9115i | 1.17630 | − | 2.03740i | ||||
\(554\) | 0.976702 | 0.0414961 | ||||||||
\(555\) | 1.61299 | − | 39.1331i | 0.0684676 | − | 1.66111i | ||||
\(556\) | −10.7479 | −0.455813 | ||||||||
\(557\) | −3.54864 | + | 6.14642i | −0.150361 | + | 0.260432i | −0.931360 | − | 0.364099i | \(-0.881377\pi\) |
0.780999 | + | 0.624532i | \(0.214710\pi\) | |||||||
\(558\) | −1.27346 | − | 0.341224i | −0.0539101 | − | 0.0144452i | ||||
\(559\) | 18.8819 | + | 32.7045i | 0.798621 | + | 1.38325i | ||||
\(560\) | −10.6796 | + | 3.86965i | −0.451295 | + | 0.163523i | ||||
\(561\) | 0.562270 | − | 0.562270i | 0.0237391 | − | 0.0237391i | ||||
\(562\) | 13.4851 | + | 3.61332i | 0.568835 | + | 0.152419i | ||||
\(563\) | −21.2351 | −0.894954 | −0.447477 | − | 0.894295i | \(-0.647677\pi\) | ||||
−0.447477 | + | 0.894295i | \(0.647677\pi\) | |||||||
\(564\) | −22.8005 | − | 13.1639i | −0.960074 | − | 0.554299i | ||||
\(565\) | −14.8316 | − | 21.2468i | −0.623970 | − | 0.893858i | ||||
\(566\) | − | 0.415625i | − | 0.0174700i | ||||||
\(567\) | −4.11315 | − | 15.3505i | −0.172736 | − | 0.644660i | ||||
\(568\) | 7.60300 | + | 13.1688i | 0.319015 | + | 0.552550i | ||||
\(569\) | 5.61604 | − | 5.61604i | 0.235437 | − | 0.235437i | −0.579521 | − | 0.814957i | \(-0.696760\pi\) |
0.814957 | + | 0.579521i | \(0.196760\pi\) | |||||||
\(570\) | 2.58537 | + | 30.0492i | 0.108289 | + | 1.25862i | ||||
\(571\) | −9.35867 | + | 16.2097i | −0.391648 | + | 0.678354i | −0.992667 | − | 0.120880i | \(-0.961428\pi\) |
0.601019 | + | 0.799235i | \(0.294762\pi\) | |||||||
\(572\) | −1.79009 | − | 1.03351i | −0.0748473 | − | 0.0432131i | ||||
\(573\) | 21.6746 | − | 12.5138i | 0.905468 | − | 0.522772i | ||||
\(574\) | −5.14256 | + | 19.1923i | −0.214646 | + | 0.801071i | ||||
\(575\) | 7.29373 | + | 8.74334i | 0.304170 | + | 0.364623i | ||||
\(576\) | 4.58291 | + | 2.64594i | 0.190954 | + | 0.110248i | ||||
\(577\) | 32.6054 | + | 18.8248i | 1.35738 | + | 0.783685i | 0.989270 | − | 0.146097i | \(-0.0466711\pi\) |
0.368112 | + | 0.929782i | \(0.380004\pi\) | |||||||
\(578\) | 16.6173 | 0.691190 | ||||||||
\(579\) | −10.3036 | − | 2.76085i | −0.428204 | − | 0.114737i | ||||
\(580\) | −9.80002 | − | 8.24727i | −0.406924 | − | 0.342449i | ||||
\(581\) | 52.4709 | 2.17686 | ||||||||
\(582\) | 6.55845 | + | 6.55845i | 0.271856 | + | 0.271856i | ||||
\(583\) | −0.967049 | − | 3.60908i | −0.0400511 | − | 0.149473i | ||||
\(584\) | 0.847559 | − | 0.847559i | 0.0350723 | − | 0.0350723i | ||||
\(585\) | 23.2278 | − | 49.6255i | 0.960352 | − | 2.05176i | ||||
\(586\) | −1.19912 | − | 1.19912i | −0.0495353 | − | 0.0495353i | ||||
\(587\) | 15.7920 | + | 27.3526i | 0.651806 | + | 1.12896i | 0.982684 | + | 0.185288i | \(0.0593219\pi\) |
−0.330878 | + | 0.943674i | \(0.607345\pi\) | |||||||
\(588\) | −14.0155 | + | 52.3067i | −0.577991 | + | 2.15709i | ||||
\(589\) | 1.01061 | − | 0.583479i | 0.0416416 | − | 0.0240418i | ||||
\(590\) | −5.74079 | + | 6.82163i | −0.236345 | + | 0.280842i | ||||
\(591\) | 13.4148i | 0.551811i | ||||||||
\(592\) | 6.02760 | − | 0.817343i | 0.247733 | − | 0.0335926i | ||||
\(593\) | 8.14760 | + | 8.14760i | 0.334582 | + | 0.334582i | 0.854323 | − | 0.519742i | \(-0.173972\pi\) |
−0.519742 | + | 0.854323i | \(0.673972\pi\) | |||||||
\(594\) | −0.762488 | − | 2.84564i | −0.0312852 | − | 0.116758i | ||||
\(595\) | −2.39380 | − | 6.60649i | −0.0981362 | − | 0.270840i | ||||
\(596\) | 4.42927 | − | 2.55724i | 0.181430 | − | 0.104749i | ||||
\(597\) | −32.9986 | + | 19.0517i | −1.35054 | + | 0.779736i | ||||
\(598\) | −10.5447 | −0.431204 | ||||||||
\(599\) | 29.2107 | − | 16.8648i | 1.19352 | − | 0.689078i | 0.234416 | − | 0.972136i | \(-0.424682\pi\) |
0.959103 | + | 0.283058i | \(0.0913489\pi\) | |||||||
\(600\) | −6.04718 | − | 13.0663i | −0.246875 | − | 0.533430i | ||||
\(601\) | −13.5899 | + | 23.5384i | −0.554344 | + | 0.960152i | 0.443610 | + | 0.896220i | \(0.353697\pi\) |
−0.997954 | + | 0.0639322i | \(0.979636\pi\) | |||||||
\(602\) | 29.2949 | − | 29.2949i | 1.19397 | − | 1.19397i | ||||
\(603\) | 51.1748 | − | 51.1748i | 2.08400 | − | 2.08400i | ||||
\(604\) | 11.0417 | + | 6.37493i | 0.449280 | + | 0.259392i | ||||
\(605\) | −21.8737 | − | 10.2382i | −0.889291 | − | 0.416243i | ||||
\(606\) | 0.987383 | + | 0.987383i | 0.0401097 | + | 0.0401097i | ||||
\(607\) | −6.74092 | + | 11.6756i | −0.273606 | + | 0.473899i | −0.969782 | − | 0.243972i | \(-0.921550\pi\) |
0.696177 | + | 0.717870i | \(0.254883\pi\) | |||||||
\(608\) | −4.52445 | + | 1.21232i | −0.183491 | + | 0.0491662i | ||||
\(609\) | −80.9358 | + | 21.6867i | −3.27969 | + | 0.878789i | ||||
\(610\) | −6.04102 | − | 16.6722i | −0.244594 | − | 0.675039i | ||||
\(611\) | −40.8938 | − | 10.9574i | −1.65438 | − | 0.443291i | ||||
\(612\) | −1.63680 | + | 2.83503i | −0.0661639 | + | 0.114599i | ||||
\(613\) | −6.95722 | − | 25.9647i | −0.281000 | − | 1.04870i | −0.951713 | − | 0.306988i | \(-0.900679\pi\) |
0.670714 | − | 0.741716i | \(-0.265988\pi\) | |||||||
\(614\) | −24.0576 | + | 6.44622i | −0.970886 | + | 0.260148i | ||||
\(615\) | −24.7958 | − | 4.40900i | −0.999865 | − | 0.177788i | ||||
\(616\) | −0.586908 | + | 2.19037i | −0.0236472 | + | 0.0882526i | ||||
\(617\) | −42.1875 | + | 11.3041i | −1.69841 | + | 0.455086i | −0.972537 | − | 0.232747i | \(-0.925229\pi\) |
−0.725868 | + | 0.687834i | \(0.758562\pi\) | |||||||
\(618\) | −1.33932 | − | 1.33932i | −0.0538753 | − | 0.0538753i | ||||
\(619\) | −13.5911 | −0.546272 | −0.273136 | − | 0.961975i | \(-0.588061\pi\) | ||||
−0.273136 | + | 0.961975i | \(0.588061\pi\) | |||||||
\(620\) | −0.358698 | + | 0.426232i | −0.0144057 | + | 0.0171179i | ||||
\(621\) | −10.6270 | − | 10.6270i | −0.426448 | − | 0.426448i | ||||
\(622\) | −7.93052 | + | 29.5971i | −0.317985 | + | 1.18674i | ||||
\(623\) | − | 5.05088i | − | 0.202359i | ||||||
\(624\) | 12.8794 | + | 3.45103i | 0.515590 | + | 0.138152i | ||||
\(625\) | −4.48293 | + | 24.5948i | −0.179317 | + | 0.983791i | ||||
\(626\) | −8.47539 | − | 14.6798i | −0.338745 | − | 0.586723i | ||||
\(627\) | 5.21431 | + | 3.01048i | 0.208239 | + | 0.120227i | ||||
\(628\) | 6.28843 | − | 6.28843i | 0.250936 | − | 0.250936i | ||||
\(629\) | 0.505616 | + | 3.72873i | 0.0201602 | + | 0.148674i | ||||
\(630\) | −59.1825 | − | 10.5233i | −2.35789 | − | 0.419260i | ||||
\(631\) | 43.6140 | − | 11.6863i | 1.73625 | − | 0.465226i | 0.754639 | − | 0.656140i | \(-0.227812\pi\) |
0.981607 | + | 0.190915i | \(0.0611453\pi\) | |||||||
\(632\) | −2.81870 | + | 10.5195i | −0.112122 | + | 0.418444i | ||||
\(633\) | 18.5626 | + | 4.97384i | 0.737798 | + | 0.197693i | ||||
\(634\) | −3.64446 | + | 13.6013i | −0.144740 | + | 0.540177i | ||||
\(635\) | 7.48530 | − | 42.0967i | 0.297045 | − | 1.67056i | ||||
\(636\) | 12.0512 | + | 20.8734i | 0.477863 | + | 0.827683i | ||||
\(637\) | 87.0789i | 3.45019i | ||||||||
\(638\) | −2.46987 | + | 0.661800i | −0.0977832 | + | 0.0262009i | ||||
\(639\) | 80.4684i | 3.18328i | ||||||||
\(640\) | 1.83352 | − | 1.27992i | 0.0724764 | − | 0.0505932i | ||||
\(641\) | 16.8051 | − | 29.1073i | 0.663763 | − | 1.14967i | −0.315857 | − | 0.948807i | \(-0.602292\pi\) |
0.979619 | − | 0.200864i | \(-0.0643748\pi\) | |||||||
\(642\) | 45.7568 | − | 26.4177i | 1.80588 | − | 1.04262i | ||||
\(643\) | 35.8527i | 1.41389i | 0.707267 | + | 0.706946i | \(0.249928\pi\) | ||||
−0.707267 | + | 0.706946i | \(0.750072\pi\) | |||||||
\(644\) | 2.99406 | + | 11.1740i | 0.117982 | + | 0.440316i | ||||
\(645\) | 40.1782 | + | 33.8122i | 1.58201 | + | 1.33135i | ||||
\(646\) | −0.749954 | − | 2.79887i | −0.0295066 | − | 0.110120i | ||||
\(647\) | −21.5009 | − | 37.2407i | −0.845289 | − | 1.46408i | −0.885370 | − | 0.464888i | \(-0.846095\pi\) |
0.0400802 | − | 0.999196i | \(-0.487239\pi\) | |||||||
\(648\) | 1.56420 | + | 2.70927i | 0.0614475 | + | 0.106430i | ||||
\(649\) | 0.460668 | + | 1.71924i | 0.0180828 | + | 0.0674860i | ||||
\(650\) | −14.8310 | − | 17.7786i | −0.581718 | − | 0.697333i | ||||
\(651\) | 0.943219 | + | 3.52014i | 0.0369677 | + | 0.137965i | ||||
\(652\) | 6.16985i | 0.241630i | ||||||||
\(653\) | −18.4727 | + | 10.6652i | −0.722891 | + | 0.417361i | −0.815816 | − | 0.578312i | \(-0.803712\pi\) |
0.0929248 | + | 0.995673i | \(0.470378\pi\) | |||||||
\(654\) | 1.98414 | − | 3.43664i | 0.0775861 | − | 0.134383i | ||||
\(655\) | 22.5453 | + | 4.00883i | 0.880919 | + | 0.156638i | ||||
\(656\) | − | 3.91135i | − | 0.152713i | ||||||
\(657\) | 6.12688 | − | 1.64169i | 0.239032 | − | 0.0640485i | ||||
\(658\) | 46.4455i | 1.81063i | ||||||||
\(659\) | −12.6462 | − | 21.9038i | −0.492624 | − | 0.853250i | 0.507340 | − | 0.861746i | \(-0.330629\pi\) |
−0.999964 | + | 0.00849583i | \(0.997296\pi\) | |||||||
\(660\) | −2.82989 | − | 0.503188i | −0.110153 | − | 0.0195866i | ||||
\(661\) | 5.58323 | − | 20.8369i | 0.217163 | − | 0.810462i | −0.768231 | − | 0.640172i | \(-0.778863\pi\) |
0.985394 | − | 0.170290i | \(-0.0544704\pi\) | |||||||
\(662\) | −15.7079 | − | 4.20892i | −0.610505 | − | 0.163584i | ||||
\(663\) | −2.13484 | + | 7.96734i | −0.0829104 | + | 0.309426i | ||||
\(664\) | −9.97712 | + | 2.67336i | −0.387187 | + | 0.103747i | ||||
\(665\) | 43.6280 | − | 30.4552i | 1.69182 | − | 1.18100i | ||||
\(666\) | 29.7866 | + | 12.2029i | 1.15421 | + | 0.472852i | ||||
\(667\) | −9.22371 | + | 9.22371i | −0.357144 | + | 0.357144i | ||||
\(668\) | 3.86637 | + | 2.23225i | 0.149594 | + | 0.0863682i | ||||
\(669\) | −7.57736 | − | 13.1244i | −0.292958 | − | 0.507418i | ||||
\(670\) | −10.4178 | − | 28.7514i | −0.402474 | − | 1.11076i | ||||
\(671\) | −3.41945 | − | 0.916240i | −0.132007 | − | 0.0353710i | ||||
\(672\) | − | 14.6279i | − | 0.564285i | ||||||
\(673\) | 0.927847 | − | 3.46277i | 0.0357659 | − | 0.133480i | −0.945734 | − | 0.324941i | \(-0.894656\pi\) |
0.981500 | + | 0.191460i | \(0.0613224\pi\) | |||||||
\(674\) | 7.83737 | + | 7.83737i | 0.301884 | + | 0.301884i | ||||
\(675\) | 2.97063 | − | 32.8642i | 0.114340 | − | 1.26494i | ||||
\(676\) | 8.44138 | 0.324668 | ||||||||
\(677\) | 3.73268 | + | 3.73268i | 0.143459 | + | 0.143459i | 0.775189 | − | 0.631730i | \(-0.217655\pi\) |
−0.631730 | + | 0.775189i | \(0.717655\pi\) | |||||||
\(678\) | 32.2312 | − | 8.63632i | 1.23783 | − | 0.331676i | ||||
\(679\) | 4.23489 | − | 15.8048i | 0.162520 | − | 0.606534i | ||||
\(680\) | 0.791768 | + | 1.13423i | 0.0303629 | + | 0.0434959i | ||||
\(681\) | −48.7189 | + | 13.0542i | −1.86691 | + | 0.500237i | ||||
\(682\) | 0.0287837 | + | 0.107422i | 0.00110218 | + | 0.00411341i | ||||
\(683\) | 14.7455 | − | 25.5399i | 0.564220 | − | 0.977257i | −0.432902 | − | 0.901441i | \(-0.642510\pi\) |
0.997122 | − | 0.0758164i | \(-0.0241563\pi\) | |||||||
\(684\) | −23.9429 | − | 6.41547i | −0.915479 | − | 0.245302i | ||||
\(685\) | 19.7381 | − | 7.15192i | 0.754154 | − | 0.273261i | ||||
\(686\) | 57.9279 | − | 15.5217i | 2.21170 | − | 0.592623i | ||||
\(687\) | −46.6647 | + | 12.5038i | −1.78037 | + | 0.477048i | ||||
\(688\) | −4.07774 | + | 7.06286i | −0.155463 | + | 0.269269i | ||||
\(689\) | 27.4060 | + | 27.4060i | 1.04409 | + | 1.04409i | ||||
\(690\) | −13.7858 | + | 4.99515i | −0.524816 | + | 0.190162i | ||||
\(691\) | 30.8171 | + | 17.7923i | 1.17234 | + | 0.676850i | 0.954230 | − | 0.299075i | \(-0.0966780\pi\) |
0.218109 | + | 0.975925i | \(0.430011\pi\) | |||||||
\(692\) | 7.65324 | − | 7.65324i | 0.290933 | − | 0.290933i | ||||
\(693\) | −8.48534 | + | 8.48534i | −0.322331 | + | 0.322331i | ||||
\(694\) | −6.27074 | + | 10.8612i | −0.238034 | + | 0.412287i | ||||
\(695\) | −19.7066 | + | 13.7564i | −0.747513 | + | 0.521812i | ||||
\(696\) | 14.2847 | − | 8.24727i | 0.541460 | − | 0.312612i | ||||
\(697\) | 2.41960 | 0.0916488 | ||||||||
\(698\) | 14.7799 | − | 8.53318i | 0.559427 | − | 0.322986i | ||||
\(699\) | −25.0605 | + | 14.4687i | −0.947875 | + | 0.547256i | ||||
\(700\) | −14.6285 | + | 20.7641i | −0.552904 | + | 0.784809i | ||||
\(701\) | −7.84329 | − | 29.2716i | −0.296237 | − | 1.10557i | −0.940230 | − | 0.340540i | \(-0.889390\pi\) |
0.643993 | − | 0.765031i | \(-0.277277\pi\) | |||||||
\(702\) | 21.6088 | + | 21.6088i | 0.815572 | + | 0.815572i | ||||
\(703\) | −26.2807 | + | 11.0054i | −0.991195 | + | 0.415077i | ||||
\(704\) | − | 0.446393i | − | 0.0168241i | ||||||
\(705\) | −58.6539 | + | 5.04646i | −2.20903 | + | 0.190061i | ||||
\(706\) | −8.29168 | + | 4.78720i | −0.312061 | + | 0.180169i | ||||
\(707\) | 0.637569 | − | 2.37944i | 0.0239783 | − | 0.0894881i | ||||
\(708\) | −5.74079 | − | 9.94334i | −0.215752 | − | 0.373694i | ||||
\(709\) | 19.6226 | + | 19.6226i | 0.736941 | + | 0.736941i | 0.971985 | − | 0.235043i | \(-0.0755233\pi\) |
−0.235043 | + | 0.971985i | \(0.575523\pi\) | |||||||
\(710\) | 30.7952 | + | 14.4141i | 1.15572 | + | 0.540950i | ||||
\(711\) | −40.7519 | + | 40.7519i | −1.52832 | + | 1.52832i | ||||
\(712\) | 0.257339 | + | 0.960403i | 0.00964420 | + | 0.0359926i | ||||
\(713\) | 0.401167 | + | 0.401167i | 0.0150238 | + | 0.0150238i | ||||
\(714\) | 9.04898 | 0.338650 | ||||||||
\(715\) | −4.60497 | + | 0.396202i | −0.172216 | + | 0.0148171i | ||||
\(716\) | 23.5004 | + | 6.29691i | 0.878250 | + | 0.235326i | ||||
\(717\) | −10.3943 | −0.388181 | ||||||||
\(718\) | −28.2688 | − | 16.3210i | −1.05498 | − | 0.609094i | ||||
\(719\) | 17.6288 | + | 10.1780i | 0.657443 | + | 0.379575i | 0.791302 | − | 0.611425i | \(-0.209404\pi\) |
−0.133859 | + | 0.991000i | \(0.542737\pi\) | |||||||
\(720\) | 11.7895 | − | 1.01434i | 0.439367 | − | 0.0378023i | ||||
\(721\) | −0.864819 | + | 3.22755i | −0.0322075 | + | 0.120200i | ||||
\(722\) | 2.54645 | − | 1.47019i | 0.0947690 | − | 0.0547149i | ||||
\(723\) | −44.4414 | − | 25.6582i | −1.65279 | − | 0.954240i | ||||
\(724\) | 5.42208 | − | 9.39132i | 0.201510 | − | 0.349026i | ||||
\(725\) | −28.5244 | − | 2.57835i | −1.05937 | − | 0.0957577i | ||||
\(726\) | 21.9920 | − | 21.9920i | 0.816200 | − | 0.816200i | ||||
\(727\) | 9.26823 | + | 16.0530i | 0.343739 | + | 0.595374i | 0.985124 | − | 0.171845i | \(-0.0549730\pi\) |
−0.641384 | + | 0.767220i | \(0.721640\pi\) | |||||||
\(728\) | −6.08807 | − | 22.7210i | −0.225639 | − | 0.842095i | ||||
\(729\) | − | 40.4570i | − | 1.49841i | ||||||
\(730\) | 0.469215 | − | 2.63883i | 0.0173664 | − | 0.0976674i | ||||
\(731\) | −4.36915 | − | 2.52253i | −0.161599 | − | 0.0932991i | ||||
\(732\) | 22.8361 | 0.844047 | ||||||||
\(733\) | −38.1401 | − | 10.2196i | −1.40874 | − | 0.377470i | −0.527262 | − | 0.849703i | \(-0.676781\pi\) |
−0.881474 | + | 0.472233i | \(0.843448\pi\) | |||||||
\(734\) | 12.4574 | − | 12.4574i | 0.459811 | − | 0.459811i | ||||
\(735\) | 41.2504 | + | 113.844i | 1.52154 | + | 4.19921i | ||||
\(736\) | −1.13862 | − | 1.97214i | −0.0419699 | − | 0.0726940i | ||||
\(737\) | −5.89687 | − | 1.58006i | −0.217214 | − | 0.0582023i | ||||
\(738\) | 10.3492 | − | 17.9254i | 0.380960 | − | 0.659841i | ||||
\(739\) | −38.8698 | −1.42985 | −0.714925 | − | 0.699201i | \(-0.753539\pi\) | ||||
−0.714925 | + | 0.699201i | \(0.753539\pi\) | |||||||
\(740\) | 10.0056 | − | 9.21345i | 0.367814 | − | 0.338693i | ||||
\(741\) | −62.4561 | −2.29438 | ||||||||
\(742\) | 21.2599 | − | 36.8233i | 0.780477 | − | 1.35183i | ||||
\(743\) | −21.7441 | − | 5.82632i | −0.797715 | − | 0.213747i | −0.163134 | − | 0.986604i | \(-0.552160\pi\) |
−0.634580 | + | 0.772857i | \(0.718827\pi\) | |||||||
\(744\) | −0.358698 | − | 0.621284i | −0.0131505 | − | 0.0227774i | ||||
\(745\) | 4.84812 | − | 10.3579i | 0.177621 | − | 0.379483i | ||||
\(746\) | −3.12913 | + | 3.12913i | −0.114566 | + | 0.114566i | ||||
\(747\) | −52.7978 | − | 14.1471i | −1.93177 | − | 0.517616i | ||||
\(748\) | 0.276143 | 0.0100968 | ||||||||
\(749\) | −80.7208 | − | 46.6042i | −2.94947 | − | 1.70288i | ||||
\(750\) | −27.8115 | − | 16.2175i | −1.01553 | − | 0.592181i | ||||
\(751\) | − | 10.9028i | − | 0.397850i | −0.980015 | − | 0.198925i | \(-0.936255\pi\) | ||
0.980015 | − | 0.198925i | \(-0.0637451\pi\) | |||||||
\(752\) | −2.36637 | − | 8.83142i | −0.0862927 | − | 0.322049i | ||||
\(753\) | −8.16706 | − | 14.1458i | −0.297624 | − | 0.515500i | ||||
\(754\) | 18.7553 | − | 18.7553i | 0.683029 | − | 0.683029i | ||||
\(755\) | 28.4046 | − | 2.44387i | 1.03375 | − | 0.0889417i | ||||
\(756\) | 16.7628 | − | 29.0340i | 0.609657 | − | 1.05596i | ||||
\(757\) | 11.1831 | + | 6.45657i | 0.406457 | + | 0.234668i | 0.689266 | − | 0.724508i | \(-0.257933\pi\) |
−0.282809 | + | 0.959176i | \(0.591266\pi\) | |||||||
\(758\) | 12.8893 | − | 7.44164i | 0.468161 | − | 0.270293i | ||||
\(759\) | −0.757612 | + | 2.82745i | −0.0274996 | + | 0.102630i | ||||
\(760\) | −6.74402 | + | 8.01375i | −0.244631 | + | 0.290689i | ||||
\(761\) | 18.0185 | + | 10.4030i | 0.653169 | + | 0.377107i | 0.789669 | − | 0.613533i | \(-0.210252\pi\) |
−0.136500 | + | 0.990640i | \(0.543586\pi\) | |||||||
\(762\) | 47.6848 | + | 27.5308i | 1.72744 | + | 0.997337i | ||||
\(763\) | −7.00056 | −0.253437 | ||||||||
\(764\) | 8.39531 | + | 2.24952i | 0.303732 | + | 0.0813847i | ||||
\(765\) | 0.627481 | + | 7.29307i | 0.0226866 | + | 0.263681i | ||||
\(766\) | −0.711671 | −0.0257137 | ||||||||
\(767\) | −13.0553 | − | 13.0553i | −0.471399 | − | 0.471399i | ||||
\(768\) | 0.745286 | + | 2.78144i | 0.0268932 | + | 0.100367i | ||||
\(769\) | 35.9160 | − | 35.9160i | 1.29516 | − | 1.29516i | 0.363615 | − | 0.931549i | \(-0.381542\pi\) |
0.931549 | − | 0.363615i | \(-0.118458\pi\) | |||||||
\(770\) | 1.72738 | + | 4.76729i | 0.0622506 | + | 0.171801i | ||||
\(771\) | 48.0011 | + | 48.0011i | 1.72872 | + | 1.72872i | ||||
\(772\) | −1.85221 | − | 3.20811i | −0.0666623 | − | 0.115463i | ||||
\(773\) | −3.68870 | + | 13.7664i | −0.132673 | + | 0.495143i | −0.999997 | − | 0.00260185i | \(-0.999172\pi\) |
0.867323 | + | 0.497745i | \(0.165838\pi\) | |||||||
\(774\) | −37.3759 | + | 21.5790i | −1.34345 | + | 0.775640i | ||||
\(775\) | −0.112140 | + | 1.24061i | −0.00402820 | + | 0.0445641i | ||||
\(776\) | 3.22099i | 0.115627i | ||||||||
\(777\) | −11.9561 | − | 88.1714i | −0.428921 | − | 3.16313i | ||||
\(778\) | −5.95079 | − | 5.95079i | −0.213346 | − | 0.213346i | ||||
\(779\) | 4.74182 | + | 17.6967i | 0.169893 | + | 0.634050i | ||||
\(780\) | 28.0318 | − | 10.1571i | 1.00370 | − | 0.363681i | ||||
\(781\) | 5.87845 | − | 3.39392i | 0.210347 | − | 0.121444i | ||||
\(782\) | 1.21998 | − | 0.704358i | 0.0436265 | − | 0.0251878i | ||||
\(783\) | 37.8036 | 1.35099 | ||||||||
\(784\) | −16.2861 | + | 9.40279i | −0.581647 | + | 0.335814i | ||||
\(785\) | 3.48132 | − | 19.5787i | 0.124254 | − | 0.698792i | ||||
\(786\) | −14.7444 | + | 25.5381i | −0.525916 | + | 0.910913i | ||||
\(787\) | −19.9261 | + | 19.9261i | −0.710290 | + | 0.710290i | −0.966596 | − | 0.256306i | \(-0.917495\pi\) |
0.256306 | + | 0.966596i | \(0.417495\pi\) | |||||||
\(788\) | −3.29415 | + | 3.29415i | −0.117349 | + | 0.117349i | ||||
\(789\) | 21.6843 | + | 12.5194i | 0.771980 | + | 0.445703i | ||||
\(790\) | 8.29597 | + | 22.8955i | 0.295157 | + | 0.814586i | ||||
\(791\) | −41.6244 | − | 41.6244i | −1.47999 | − | 1.47999i | ||||
\(792\) | 1.18113 | − | 2.04578i | 0.0419696 | − | 0.0726935i | ||||
\(793\) | 35.4704 | − | 9.50426i | 1.25959 | − | 0.337506i | ||||
\(794\) | 8.27128 | − | 2.21628i | 0.293537 | − | 0.0786529i | ||||
\(795\) | 48.8124 | + | 22.8472i | 1.73120 | + | 0.810308i | ||||
\(796\) | −12.7815 | − | 3.42479i | −0.453028 | − | 0.121389i | ||||
\(797\) | −0.792040 | + | 1.37185i | −0.0280555 | + | 0.0485935i | −0.879712 | − | 0.475506i | \(-0.842265\pi\) |
0.851657 | + | 0.524100i | \(0.175598\pi\) | |||||||
\(798\) | 17.7338 | + | 66.1834i | 0.627770 | + | 2.34287i | ||||
\(799\) | 5.46320 | − | 1.46386i | 0.193274 | − | 0.0517876i | ||||
\(800\) | 1.72362 | − | 4.69352i | 0.0609393 | − | 0.165941i | ||||
\(801\) | −1.36181 | + | 5.08234i | −0.0481172 | + | 0.179576i | ||||
\(802\) | −11.7591 | + | 3.15084i | −0.415228 | + | 0.111260i | ||||
\(803\) | −0.378344 | − | 0.378344i | −0.0133515 | − | 0.0133515i | ||||
\(804\) | 39.3810 | 1.38886 | ||||||||
\(805\) | 19.7914 | + | 16.6556i | 0.697557 | + | 0.587033i | ||||
\(806\) | −0.815726 | − | 0.815726i | −0.0287327 | − | 0.0287327i | ||||
\(807\) | −10.0027 | + | 37.3305i | −0.352111 | + | 1.31410i | ||||
\(808\) | 0.484925i | 0.0170596i | ||||||||
\(809\) | −27.0254 | − | 7.24144i | −0.950163 | − | 0.254595i | −0.249731 | − | 0.968315i | \(-0.580342\pi\) |
−0.700431 | + | 0.713720i | \(0.747009\pi\) | |||||||
\(810\) | 6.33563 | + | 2.96547i | 0.222611 | + | 0.104196i | ||||
\(811\) | −12.7965 | − | 22.1641i | −0.449344 | − | 0.778287i | 0.548999 | − | 0.835823i | \(-0.315009\pi\) |
−0.998343 | + | 0.0575357i | \(0.981676\pi\) | |||||||
\(812\) | −25.2000 | − | 14.5492i | −0.884348 | − | 0.510578i | ||||
\(813\) | −23.5547 | + | 23.5547i | −0.826099 | + | 0.826099i | ||||
\(814\) | −0.364856 | − | 2.69068i | −0.0127882 | − | 0.0943082i | ||||
\(815\) | 7.89690 | + | 11.3126i | 0.276616 | + | 0.396262i | ||||
\(816\) | −1.72063 | + | 0.461041i | −0.0602340 | + | 0.0161397i | ||||
\(817\) | 9.88709 | − | 36.8991i | 0.345905 | − | 1.29094i | ||||
\(818\) | 11.8128 | + | 3.16524i | 0.413026 | + | 0.110670i | ||||
\(819\) | 32.2173 | − | 120.237i | 1.12577 | − | 4.20141i | ||||
\(820\) | −5.00620 | − | 7.17155i | −0.174824 | − | 0.250442i | ||||
\(821\) | 12.1905 | + | 21.1146i | 0.425452 | + | 0.736904i | 0.996463 | − | 0.0840385i | \(-0.0267819\pi\) |
−0.571011 | + | 0.820943i | \(0.693449\pi\) | |||||||
\(822\) | 27.0355i | 0.942971i | ||||||||
\(823\) | 5.95521 | − | 1.59569i | 0.207586 | − | 0.0556224i | −0.153528 | − | 0.988144i | \(-0.549063\pi\) |
0.361113 | + | 0.932522i | \(0.382397\pi\) | |||||||
\(824\) | − | 0.657767i | − | 0.0229144i | ||||||
\(825\) | −5.83271 | + | 2.69942i | −0.203069 | + | 0.0939816i | ||||
\(826\) | −10.1275 | + | 17.5413i | −0.352380 | + | 0.610341i | ||||
\(827\) | 2.03545 | − | 1.17517i | 0.0707796 | − | 0.0408646i | −0.464193 | − | 0.885734i | \(-0.653655\pi\) |
0.534972 | + | 0.844870i | \(0.320322\pi\) | |||||||
\(828\) | − | 12.0508i | − | 0.418796i | ||||||
\(829\) | 11.7310 | + | 43.7806i | 0.407434 | + | 1.52056i | 0.799522 | + | 0.600636i | \(0.205086\pi\) |
−0.392088 | + | 0.919928i | \(0.628247\pi\) | |||||||
\(830\) | −14.8716 | + | 17.6716i | −0.516201 | + | 0.613389i | ||||
\(831\) | 0.727922 | + | 2.71664i | 0.0252513 | + | 0.0942393i | ||||
\(832\) | 2.31524 | + | 4.01012i | 0.0802666 | + | 0.139026i | ||||
\(833\) | −5.81665 | − | 10.0747i | −0.201535 | − | 0.349069i | ||||
\(834\) | −8.01027 | − | 29.8947i | −0.277373 | − | 1.03517i | ||||
\(835\) | 9.94617 | − | 0.855748i | 0.344201 | − | 0.0296144i | ||||
\(836\) | 0.541172 | + | 2.01968i | 0.0187168 | + | 0.0698522i | ||||
\(837\) | − | 1.64419i | − | 0.0568316i | ||||||
\(838\) | 10.3821 | − | 5.99408i | 0.358642 | − | 0.207062i | ||||
\(839\) | 13.1457 | − | 22.7690i | 0.453839 | − | 0.786073i | −0.544781 | − | 0.838578i | \(-0.683387\pi\) |
0.998621 | + | 0.0525054i | \(0.0167207\pi\) | |||||||
\(840\) | −18.7226 | − | 26.8207i | −0.645990 | − | 0.925402i | ||||
\(841\) | − | 3.81158i | − | 0.131434i | ||||||
\(842\) | −11.9258 | + | 3.19550i | −0.410990 | + | 0.110124i | ||||
\(843\) | 40.2010i | 1.38460i | ||||||||
\(844\) | 3.33687 | + | 5.77963i | 0.114860 | + | 0.198943i | ||||
\(845\) | 15.4775 | − | 10.8043i | 0.532441 | − | 0.371678i | ||||
\(846\) | 12.5226 | − | 46.7349i | 0.430535 | − | 1.60678i | ||||
\(847\) | −52.9973 | − | 14.2006i | −1.82101 | − | 0.487938i | ||||
\(848\) | −2.16636 | + | 8.08498i | −0.0743932 | + | 0.277639i | ||||
\(849\) | 1.15604 | − | 0.309760i | 0.0396751 | − | 0.0106309i | ||||
\(850\) | 2.90345 | + | 1.06625i | 0.0995876 | + | 0.0365721i | ||||
\(851\) | −8.47503 | − | 10.9566i | −0.290520 | − | 0.375588i | ||||
\(852\) | −30.9618 | + | 30.9618i | −1.06073 | + | 1.06073i | ||||
\(853\) | −46.4734 | − | 26.8314i | −1.59122 | − | 0.918691i | −0.993098 | − | 0.117285i | \(-0.962581\pi\) |
−0.598121 | − | 0.801406i | \(-0.704086\pi\) | |||||||
\(854\) | −20.1429 | − | 34.8886i | −0.689277 | − | 1.19386i | ||||
\(855\) | −52.1111 | + | 18.8820i | −1.78216 | + | 0.645750i | ||||
\(856\) | 17.7232 | + | 4.74891i | 0.605766 | + | 0.162314i | ||||
\(857\) | − | 1.21914i | − | 0.0416450i | −0.999783 | − | 0.0208225i | \(-0.993372\pi\) | ||
0.999783 | − | 0.0208225i | \(-0.00662848\pi\) | |||||||
\(858\) | 1.54052 | − | 5.74929i | 0.0525924 | − | 0.196277i | ||||
\(859\) | 30.9991 | + | 30.9991i | 1.05768 | + | 1.05768i | 0.998232 | + | 0.0594446i | \(0.0189330\pi\) |
0.0594446 | + | 0.998232i | \(0.481067\pi\) | |||||||
\(860\) | 1.56323 | + | 18.1691i | 0.0533058 | + | 0.619561i | ||||
\(861\) | −57.2150 | −1.94988 | ||||||||
\(862\) | −8.62459 | − | 8.62459i | −0.293755 | − | 0.293755i | ||||
\(863\) | 38.3228 | − | 10.2686i | 1.30452 | − | 0.349546i | 0.461363 | − | 0.887211i | \(-0.347360\pi\) |
0.843158 | + | 0.537666i | \(0.180694\pi\) | |||||||
\(864\) | −1.70811 | + | 6.37475i | −0.0581111 | + | 0.216873i | ||||
\(865\) | 4.23689 | − | 23.8279i | 0.144059 | − | 0.810174i | ||||
\(866\) | −14.6235 | + | 3.91835i | −0.496926 | + | 0.133151i | ||||
\(867\) | 12.3847 | + | 46.2202i | 0.420605 | + | 1.56972i | ||||
\(868\) | −0.632790 | + | 1.09602i | −0.0214783 | + | 0.0372015i | ||||
\(869\) | 4.69584 | + | 1.25825i | 0.159295 | + | 0.0426831i | ||||
\(870\) | 15.6355 | − | 33.4048i | 0.530093 | − | 1.13253i | ||||
\(871\) | 61.1689 | − | 16.3902i | 2.07263 | − | 0.555359i | ||||
\(872\) | 1.33113 | − | 0.356675i | 0.0450777 | − | 0.0120785i | ||||
\(873\) | −8.52256 | + | 14.7615i | −0.288445 | + | 0.499601i | ||||
\(874\) | 7.54248 | + | 7.54248i | 0.255128 | + | 0.255128i | ||||
\(875\) | −0.245332 | + | 56.7947i | −0.00829373 | + | 1.92001i | ||||
\(876\) | 2.98911 | + | 1.72577i | 0.100993 | + | 0.0583082i | ||||
\(877\) | −30.1718 | + | 30.1718i | −1.01883 | + | 1.01883i | −0.0190116 | + | 0.999819i | \(0.506052\pi\) |
−0.999819 | + | 0.0190116i | \(0.993948\pi\) | |||||||
\(878\) | −0.471791 | + | 0.471791i | −0.0159222 | + | 0.0159222i | ||||
\(879\) | 2.44160 | − | 4.22898i | 0.0823532 | − | 0.142640i | ||||
\(880\) | −0.571346 | − | 0.818472i | −0.0192601 | − | 0.0275907i | ||||
\(881\) | −43.6201 | + | 25.1841i | −1.46960 | + | 0.848474i | −0.999419 | − | 0.0340967i | \(-0.989145\pi\) |
−0.470181 | + | 0.882570i | \(0.655811\pi\) | |||||||
\(882\) | −99.5170 | −3.35091 | ||||||||
\(883\) | 4.96366 | − | 2.86577i | 0.167041 | − | 0.0964409i | −0.414149 | − | 0.910209i | \(-0.635921\pi\) |
0.581190 | + | 0.813768i | \(0.302587\pi\) | |||||||
\(884\) | −2.48069 | + | 1.43223i | −0.0834348 | + | 0.0481711i | ||||
\(885\) | −23.2525 | − | 10.8836i | −0.781625 | − | 0.365849i | ||||
\(886\) | 7.08304 | + | 26.4343i | 0.237959 | + | 0.888076i | ||||
\(887\) | 16.5303 | + | 16.5303i | 0.555033 | + | 0.555033i | 0.927889 | − | 0.372856i | \(-0.121622\pi\) |
−0.372856 | + | 0.927889i | \(0.621622\pi\) | |||||||
\(888\) | 6.76568 | + | 16.1563i | 0.227041 | + | 0.542169i | ||||
\(889\) | − | 97.1358i | − | 3.25783i | ||||||
\(890\) | 1.70107 | + | 1.43155i | 0.0570202 | + | 0.0479857i | ||||
\(891\) | 1.20940 | − | 0.698246i | 0.0405163 | − | 0.0233921i | ||||
\(892\) | 1.36213 | − | 5.08353i | 0.0456074 | − | 0.170209i | ||||
\(893\) | 21.4131 | + | 37.0885i | 0.716561 | + | 1.24112i | ||||
\(894\) | 10.4139 | + | 10.4139i | 0.348293 | + | 0.348293i | ||||
\(895\) | 51.1480 | − | 18.5330i | 1.70969 | − | 0.619490i | ||||
\(896\) | 3.59205 | − | 3.59205i | 0.120002 | − | 0.120002i | ||||
\(897\) | −7.85880 | − | 29.3294i | −0.262398 | − | 0.979282i | ||||
\(898\) | −3.27007 | − | 3.27007i | −0.109124 | − | 0.109124i | ||||
\(899\) | −1.42707 | −0.0475956 | ||||||||
\(900\) | 20.3180 | − | 16.9494i | 0.677266 | − | 0.564978i | ||||
\(901\) | −5.00144 | − | 1.34013i | −0.166622 | − | 0.0446463i | ||||
\(902\) | −1.74600 | −0.0581354 | ||||||||
\(903\) | 103.315 | + | 59.6490i | 3.43811 | + | 1.98500i | ||||
\(904\) | 10.0354 | + | 5.79397i | 0.333774 | + | 0.192705i | ||||
\(905\) | −2.07859 | − | 24.1590i | −0.0690948 | − | 0.803073i | ||||
\(906\) | −9.50229 | + | 35.4630i | −0.315692 | + | 1.17818i | ||||
\(907\) | 4.86415 | − | 2.80832i | 0.161511 | − | 0.0932487i | −0.417066 | − | 0.908876i | \(-0.636942\pi\) |
0.578577 | + | 0.815628i | \(0.303608\pi\) | |||||||
\(908\) | −15.1690 | − | 8.75783i | −0.503401 | − | 0.290639i | ||||
\(909\) | −1.28308 | + | 2.22236i | −0.0425572 | + | 0.0737112i | ||||
\(910\) | −40.2436 | − | 33.8672i | −1.33406 | − | 1.12269i | ||||
\(911\) | 32.1621 | − | 32.1621i | 1.06558 | − | 1.06558i | 0.0678858 | − | 0.997693i | \(-0.478375\pi\) |
0.997693 | − | 0.0678858i | \(-0.0216254\pi\) | |||||||
\(912\) | −6.74402 | − | 11.6810i | −0.223317 | − | 0.386796i | ||||
\(913\) | 1.19337 | + | 4.45371i | 0.0394948 | + | 0.147396i | ||||
\(914\) | − | 2.81784i | − | 0.0932060i | ||||||
\(915\) | 41.8706 | − | 29.2283i | 1.38420 | − | 0.966259i | ||||
\(916\) | −14.5294 | − | 8.38857i | −0.480066 | − | 0.277166i | ||||
\(917\) | 52.0221 | 1.71792 | ||||||||
\(918\) | −3.94348 | − | 1.05665i | −0.130154 | − | 0.0348747i | ||||
\(919\) | 11.6186 | − | 11.6186i | 0.383263 | − | 0.383263i | −0.489013 | − | 0.872276i | \(-0.662643\pi\) |
0.872276 | + | 0.489013i | \(0.162643\pi\) | |||||||
\(920\) | −4.61186 | − | 2.15863i | −0.152048 | − | 0.0711680i | ||||
\(921\) | −35.8596 | − | 62.1107i | −1.18161 | − | 2.04662i | ||||
\(922\) | −18.0988 | − | 4.84955i | −0.596051 | − | 0.159711i | ||||
\(923\) | −35.2055 | + | 60.9778i | −1.15880 | + | 2.00711i | ||||
\(924\) | −6.52981 | −0.214815 | ||||||||
\(925\) | 6.55310 | − | 29.6994i | 0.215465 | − | 0.976512i | ||||
\(926\) | −1.32365 | −0.0434978 | ||||||||
\(927\) | 1.74041 | − | 3.01448i | 0.0571627 | − | 0.0990087i | ||||
\(928\) | 5.53296 | + | 1.48255i | 0.181628 | + | 0.0486671i | ||||
\(929\) | −3.00479 | − | 5.20445i | −0.0985839 | − | 0.170752i | 0.812515 | − | 0.582941i | \(-0.198098\pi\) |
−0.911099 | + | 0.412188i | \(0.864765\pi\) | |||||||
\(930\) | −1.45287 | − | 0.680035i | −0.0476416 | − | 0.0222992i | ||||
\(931\) | 62.2865 | − | 62.2865i | 2.04136 | − | 2.04136i | ||||
\(932\) | −9.70681 | − | 2.60093i | −0.317957 | − | 0.0851963i | ||||
\(933\) | −88.2332 | −2.88863 | ||||||||
\(934\) | 10.9518 | + | 6.32303i | 0.358354 | + | 0.206896i | ||||
\(935\) | 0.506314 | − | 0.353440i | 0.0165582 | − | 0.0115587i | ||||
\(936\) | 24.5040i | 0.800938i | ||||||||
\(937\) | −13.9036 | − | 51.8890i | −0.454212 | − | 1.69514i | −0.690395 | − | 0.723432i | \(-0.742563\pi\) |
0.236184 | − | 0.971708i | \(-0.424103\pi\) | |||||||
\(938\) | −34.7366 | − | 60.1655i | −1.13419 | − | 1.96447i | ||||
\(939\) | 34.5145 | − | 34.5145i | 1.12634 | − | 1.12634i | ||||
\(940\) | −15.6423 | − | 13.1639i | −0.510195 | − | 0.429358i | ||||
\(941\) | −2.75738 | + | 4.77592i | −0.0898880 | + | 0.155691i | −0.907464 | − | 0.420131i | \(-0.861984\pi\) |
0.817576 | + | 0.575821i | \(0.195318\pi\) | |||||||
\(942\) | 22.1776 | + | 12.8042i | 0.722585 | + | 0.417185i | ||||
\(943\) | −7.71373 | + | 4.45352i | −0.251194 | + | 0.145027i | ||||
\(944\) | 1.03198 | − | 3.85140i | 0.0335881 | − | 0.125352i | ||||
\(945\) | −6.42614 | − | 74.6895i | −0.209042 | − | 2.42965i | ||||
\(946\) | 3.15281 | + | 1.82028i | 0.102507 | + | 0.0591823i | ||||
\(947\) | 0.892850 | + | 0.515487i | 0.0290137 | + | 0.0167511i | 0.514437 | − | 0.857528i | \(-0.328001\pi\) |
−0.485423 | + | 0.874279i | \(0.661334\pi\) | |||||||
\(948\) | −31.3602 | −1.01853 | ||||||||
\(949\) | 5.36112 | + | 1.43651i | 0.174029 | + | 0.0466310i | ||||
\(950\) | −2.10839 | + | 23.3252i | −0.0684052 | + | 0.756769i | ||||
\(951\) | −40.5475 | −1.31484 | ||||||||
\(952\) | 2.22207 | + | 2.22207i | 0.0720178 | + | 0.0720178i | ||||
\(953\) | 7.28070 | + | 27.1719i | 0.235845 | + | 0.880186i | 0.977766 | + | 0.209698i | \(0.0672482\pi\) |
−0.741921 | + | 0.670487i | \(0.766085\pi\) | |||||||
\(954\) | −31.3206 | + | 31.3206i | −1.01404 | + | 1.01404i | ||||
\(955\) | 18.2722 | − | 6.62076i | 0.591275 | − | 0.214243i | ||||
\(956\) | −2.55242 | − | 2.55242i | −0.0825512 | − | 0.0825512i | ||||
\(957\) | −3.68152 | − | 6.37658i | −0.119007 | − | 0.206126i | ||||
\(958\) | 8.09245 | − | 30.2014i | 0.261455 | − | 0.975764i | ||||
\(959\) | 41.3043 | − | 23.8470i | 1.33378 | − | 0.770061i | ||||
\(960\) | 4.92652 | + | 4.14594i | 0.159003 | + | 0.133810i | ||||
\(961\) | − | 30.9379i | − | 0.997998i | ||||||
\(962\) | 17.2330 | + | 22.2790i | 0.555614 | + | 0.718305i | ||||
\(963\) | 68.6583 | + | 68.6583i | 2.21248 | + | 2.21248i | ||||
\(964\) | −4.61239 | − | 17.2137i | −0.148555 | − | 0.554415i | ||||
\(965\) | −7.50219 | − | 3.51149i | −0.241504 | − | 0.113039i | ||||
\(966\) | −28.8484 | + | 16.6556i | −0.928181 | + | 0.535886i | ||||
\(967\) | −14.3102 | + | 8.26199i | −0.460184 | + | 0.265688i | −0.712122 | − | 0.702056i | \(-0.752266\pi\) |
0.251937 | + | 0.967744i | \(0.418932\pi\) | |||||||
\(968\) | 10.8007 | 0.347149 | ||||||||
\(969\) | 7.22596 | − | 4.17191i | 0.232131 | − | 0.134021i | ||||
\(970\) | 4.12260 | + | 5.90576i | 0.132369 | + | 0.189623i | ||||
\(971\) | 18.6691 | − | 32.3359i | 0.599121 | − | 1.03771i | −0.393830 | − | 0.919183i | \(-0.628850\pi\) |
0.992951 | − | 0.118525i | \(-0.0378167\pi\) | |||||||
\(972\) | 7.63002 | − | 7.63002i | 0.244733 | − | 0.244733i | ||||
\(973\) | −38.6070 | + | 38.6070i | −1.23768 | + | 1.23768i | ||||
\(974\) | −37.3347 | − | 21.5552i | −1.19628 | − | 0.690673i | ||||
\(975\) | 38.3968 | − | 54.5016i | 1.22968 | − | 1.74545i | ||||
\(976\) | 5.60765 | + | 5.60765i | 0.179496 | + | 0.179496i | ||||
\(977\) | 4.43992 | − | 7.69016i | 0.142046 | − | 0.246030i | −0.786221 | − | 0.617945i | \(-0.787965\pi\) |
0.928267 | + | 0.371915i | \(0.121299\pi\) | |||||||
\(978\) | −17.1611 | + | 4.59830i | −0.548752 | + | 0.147038i | ||||
\(979\) | 0.428717 | − | 0.114874i | 0.0137019 | − | 0.00367140i | ||||
\(980\) | −17.8262 | + | 38.0851i | −0.569437 | + | 1.21658i | ||||
\(981\) | 7.04418 | + | 1.88748i | 0.224903 | + | 0.0602627i | ||||
\(982\) | −12.6558 | + | 21.9205i | −0.403864 | + | 0.699513i | ||||
\(983\) | 1.63912 | + | 6.11727i | 0.0522797 | + | 0.195111i | 0.987127 | − | 0.159940i | \(-0.0511302\pi\) |
−0.934847 | + | 0.355051i | \(0.884464\pi\) | |||||||
\(984\) | 10.8792 | − | 2.91507i | 0.346816 | − | 0.0929291i | ||||
\(985\) | −1.82366 | + | 10.2561i | −0.0581067 | + | 0.326787i | ||||
\(986\) | −0.917120 | + | 3.42274i | −0.0292070 | + | 0.109002i | ||||
\(987\) | −129.186 | + | 34.6152i | −4.11202 | + | 1.10181i | ||||
\(988\) | −15.3368 | − | 15.3368i | −0.487927 | − | 0.487927i | ||||
\(989\) | 18.5719 | 0.590553 | ||||||||
\(990\) | −0.452794 | − | 5.26273i | −0.0143908 | − | 0.167261i | ||||
\(991\) | 17.9411 | + | 17.9411i | 0.569916 | + | 0.569916i | 0.932105 | − | 0.362188i | \(-0.117970\pi\) |
−0.362188 | + | 0.932105i | \(0.617970\pi\) | |||||||
\(992\) | 0.0644806 | − | 0.240645i | 0.00204726 | − | 0.00764048i | ||||
\(993\) | − | 46.8275i | − | 1.48603i | ||||||
\(994\) | 74.6131 | + | 19.9925i | 2.36659 | + | 0.634125i | ||||
\(995\) | −27.8186 | + | 10.0798i | −0.881910 | + | 0.319552i | ||||
\(996\) | −14.8716 | − | 25.7584i | −0.471225 | − | 0.816186i | ||||
\(997\) | 17.0886 | + | 9.86613i | 0.541203 | + | 0.312464i | 0.745566 | − | 0.666431i | \(-0.232179\pi\) |
−0.204363 | + | 0.978895i | \(0.565512\pi\) | |||||||
\(998\) | −17.4113 | + | 17.4113i | −0.551146 | + | 0.551146i | ||||
\(999\) | −5.08544 | + | 39.8206i | −0.160896 | + | 1.25987i |
(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 | 370.2.q.d.273.1 | yes | 12 | |
5.2 | odd | 4 | 370.2.r.d.347.1 | yes | 12 | ||
37.8 | odd | 12 | 370.2.r.d.193.1 | yes | 12 | ||
185.82 | even | 12 | inner | 370.2.q.d.267.1 | ✓ | 12 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
370.2.q.d.267.1 | ✓ | 12 | 185.82 | even | 12 | inner | |
370.2.q.d.273.1 | yes | 12 | 1.1 | even | 1 | trivial | |
370.2.r.d.193.1 | yes | 12 | 37.8 | odd | 12 | ||
370.2.r.d.347.1 | yes | 12 | 5.2 | odd | 4 |