Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [125,2,Mod(4,125)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(125, base_ring=CyclotomicField(50))
chi = DirichletCharacter(H, H._module([1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("125.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 125 = 5^{3} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 125.h (of order \(50\), degree \(20\), 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: | \(0.998130025266\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{50})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{50}]$ |
Embedding invariants
Embedding label | 104.12 | ||
Character | \(\chi\) | \(=\) | 125.104 |
Dual form | 125.2.h.a.119.12 |
$q$-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 \(\left(\mathbb{Z}/125\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{21}{50}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.650201 | + | 2.53237i | 0.459762 | + | 1.79065i | 0.599399 | + | 0.800451i | \(0.295406\pi\) |
−0.139637 | + | 0.990203i | \(0.544594\pi\) | |||||||
\(3\) | −2.78727 | + | 0.531700i | −1.60923 | + | 0.306977i | −0.912100 | − | 0.409967i | \(-0.865540\pi\) |
−0.697130 | + | 0.716945i | \(0.745540\pi\) | |||||||
\(4\) | −4.23750 | + | 2.32959i | −2.11875 | + | 1.16479i | ||||
\(5\) | 2.10703 | − | 0.748604i | 0.942294 | − | 0.334786i | ||||
\(6\) | −3.15874 | − | 6.71267i | −1.28955 | − | 2.74044i | ||||
\(7\) | −1.24444 | + | 1.71282i | −0.470352 | + | 0.647385i | −0.976615 | − | 0.214995i | \(-0.931027\pi\) |
0.506263 | + | 0.862379i | \(0.331027\pi\) | |||||||
\(8\) | −5.07509 | − | 5.40442i | −1.79432 | − | 1.91075i | ||||
\(9\) | 4.69683 | − | 1.85961i | 1.56561 | − | 0.619869i | ||||
\(10\) | 3.26573 | + | 4.84904i | 1.03272 | + | 1.53340i | ||||
\(11\) | −1.46742 | + | 0.376769i | −0.442443 | + | 0.113600i | −0.463338 | − | 0.886182i | \(-0.653348\pi\) |
0.0208951 | + | 0.999782i | \(0.493348\pi\) | |||||||
\(12\) | 10.5724 | − | 8.74627i | 3.05199 | − | 2.52483i | ||||
\(13\) | 1.00106 | + | 2.52838i | 0.277644 | + | 0.701248i | 0.999953 | + | 0.00967789i | \(0.00308062\pi\) |
−0.722310 | + | 0.691570i | \(0.756919\pi\) | |||||||
\(14\) | −5.14662 | − | 2.03769i | −1.37549 | − | 0.544596i | ||||
\(15\) | −5.47484 | + | 3.20687i | −1.41360 | + | 0.828010i | ||||
\(16\) | 5.20402 | − | 8.20022i | 1.30100 | − | 2.05006i | ||||
\(17\) | −3.01517 | + | 5.48457i | −0.731286 | + | 1.33020i | 0.204929 | + | 0.978777i | \(0.434304\pi\) |
−0.936215 | + | 0.351428i | \(0.885696\pi\) | |||||||
\(18\) | 7.76309 | + | 10.6850i | 1.82978 | + | 2.51847i | ||||
\(19\) | −0.109986 | + | 0.576568i | −0.0252326 | + | 0.132274i | −0.992675 | − | 0.120819i | \(-0.961448\pi\) |
0.967442 | + | 0.253093i | \(0.0814478\pi\) | |||||||
\(20\) | −7.18463 | + | 8.08073i | −1.60653 | + | 1.80691i | ||||
\(21\) | 2.55787 | − | 5.43575i | 0.558173 | − | 1.18618i | ||||
\(22\) | −1.90823 | − | 3.47106i | −0.406837 | − | 0.740033i | ||||
\(23\) | 4.83466 | + | 0.304171i | 1.00810 | + | 0.0634240i | 0.558242 | − | 0.829678i | \(-0.311476\pi\) |
0.449854 | + | 0.893102i | \(0.351476\pi\) | |||||||
\(24\) | 17.0192 | + | 12.3652i | 3.47403 | + | 2.52403i | ||||
\(25\) | 3.87918 | − | 3.15467i | 0.775837 | − | 0.630934i | ||||
\(26\) | −5.75191 | + | 4.17901i | −1.12804 | + | 0.819570i | ||||
\(27\) | −4.91517 | + | 3.11926i | −0.945924 | + | 0.600302i | ||||
\(28\) | 1.28314 | − | 10.1571i | 0.242491 | − | 1.91951i | ||||
\(29\) | 6.59877 | + | 0.833618i | 1.22536 | + | 0.154799i | 0.711259 | − | 0.702930i | \(-0.248125\pi\) |
0.514102 | + | 0.857729i | \(0.328125\pi\) | |||||||
\(30\) | −11.6807 | − | 11.7792i | −2.13260 | − | 2.15057i | ||||
\(31\) | −1.61572 | − | 0.888251i | −0.290192 | − | 0.159535i | 0.330008 | − | 0.943978i | \(-0.392949\pi\) |
−0.620200 | + | 0.784444i | \(0.712949\pi\) | |||||||
\(32\) | 10.0477 | + | 3.26471i | 1.77621 | + | 0.577125i | ||||
\(33\) | 3.88976 | − | 1.83038i | 0.677120 | − | 0.318629i | ||||
\(34\) | −15.8494 | − | 4.06944i | −2.71815 | − | 0.697903i | ||||
\(35\) | −1.33985 | + | 4.54056i | −0.226475 | + | 0.767494i | ||||
\(36\) | −15.5707 | + | 18.8218i | −2.59512 | + | 3.13696i | ||||
\(37\) | −0.227558 | − | 0.144412i | −0.0374102 | − | 0.0237412i | 0.516990 | − | 0.855991i | \(-0.327052\pi\) |
−0.554400 | + | 0.832250i | \(0.687052\pi\) | |||||||
\(38\) | −1.53159 | + | 0.0963597i | −0.248457 | + | 0.0156316i | ||||
\(39\) | −4.13456 | − | 6.51503i | −0.662060 | − | 1.04324i | ||||
\(40\) | −14.7392 | − | 7.58807i | −2.33047 | − | 1.19978i | ||||
\(41\) | 0.0810824 | + | 1.28877i | 0.0126629 | + | 0.201272i | 0.999271 | + | 0.0381654i | \(0.0121514\pi\) |
−0.986608 | + | 0.163106i | \(0.947849\pi\) | |||||||
\(42\) | 15.4284 | + | 2.94313i | 2.38066 | + | 0.454135i | ||||
\(43\) | 8.95252 | − | 2.90885i | 1.36525 | − | 0.443595i | 0.467455 | − | 0.884017i | \(-0.345171\pi\) |
0.897791 | + | 0.440421i | \(0.145171\pi\) | |||||||
\(44\) | 5.34047 | − | 5.01504i | 0.805106 | − | 0.756045i | ||||
\(45\) | 8.50428 | − | 7.43432i | 1.26774 | − | 1.10824i | ||||
\(46\) | 2.37323 | + | 12.4409i | 0.349913 | + | 1.83431i | ||||
\(47\) | 0.639643 | − | 0.681150i | 0.0933015 | − | 0.0993560i | −0.680623 | − | 0.732634i | \(-0.738291\pi\) |
0.773925 | + | 0.633278i | \(0.218291\pi\) | |||||||
\(48\) | −10.1449 | + | 25.6232i | −1.46430 | + | 3.69839i | ||||
\(49\) | 0.777991 | + | 2.39441i | 0.111142 | + | 0.342059i | ||||
\(50\) | 10.5110 | + | 7.77235i | 1.48648 | + | 1.09918i | ||||
\(51\) | 5.48794 | − | 16.8901i | 0.768465 | − | 2.36509i | ||||
\(52\) | −10.1321 | − | 8.38199i | −1.40507 | − | 1.16237i | ||||
\(53\) | −8.33686 | − | 3.92303i | −1.14516 | − | 0.538869i | −0.242892 | − | 0.970053i | \(-0.578096\pi\) |
−0.902264 | + | 0.431184i | \(0.858096\pi\) | |||||||
\(54\) | −11.0950 | − | 10.4189i | −1.50983 | − | 1.41783i | ||||
\(55\) | −2.80985 | + | 1.89238i | −0.378880 | + | 0.255168i | ||||
\(56\) | 15.5724 | − | 1.96725i | 2.08095 | − | 0.262885i | ||||
\(57\) | − | 1.66553i | − | 0.220605i | ||||||
\(58\) | 2.17950 | + | 17.2525i | 0.286182 | + | 2.26537i | ||||
\(59\) | 4.11638 | + | 4.97585i | 0.535907 | + | 0.647800i | 0.967081 | − | 0.254468i | \(-0.0819005\pi\) |
−0.431174 | + | 0.902269i | \(0.641900\pi\) | |||||||
\(60\) | 15.7290 | − | 26.3432i | 2.03060 | − | 3.40090i | ||||
\(61\) | 0.758535 | − | 12.0566i | 0.0971205 | − | 1.54369i | −0.584145 | − | 0.811649i | \(-0.698570\pi\) |
0.681265 | − | 0.732037i | \(-0.261430\pi\) | |||||||
\(62\) | 1.19883 | − | 4.66914i | 0.152252 | − | 0.592982i | ||||
\(63\) | −2.65974 | + | 10.3590i | −0.335095 | + | 1.30511i | ||||
\(64\) | −0.514728 | + | 8.18137i | −0.0643410 | + | 1.02267i | ||||
\(65\) | 4.00202 | + | 4.57800i | 0.496390 | + | 0.567831i | ||||
\(66\) | 7.16432 | + | 8.66018i | 0.881867 | + | 1.06599i | ||||
\(67\) | −0.491373 | − | 3.88962i | −0.0600308 | − | 0.475193i | −0.993260 | − | 0.115910i | \(-0.963022\pi\) |
0.933229 | − | 0.359282i | \(-0.116978\pi\) | |||||||
\(68\) | − | 30.2650i | − | 3.67017i | ||||||
\(69\) | −13.6372 | + | 1.72278i | −1.64173 | + | 0.207398i | ||||
\(70\) | −12.3695 | − | 0.440704i | −1.47844 | − | 0.0526742i | ||||
\(71\) | 10.2506 | + | 9.62593i | 1.21652 | + | 1.14239i | 0.985542 | + | 0.169429i | \(0.0541924\pi\) |
0.230978 | + | 0.972959i | \(0.425808\pi\) | |||||||
\(72\) | −33.8870 | − | 15.9460i | −3.99362 | − | 1.87925i | ||||
\(73\) | −4.89900 | − | 4.05280i | −0.573384 | − | 0.474345i | 0.304965 | − | 0.952363i | \(-0.401355\pi\) |
−0.878350 | + | 0.478019i | \(0.841355\pi\) | |||||||
\(74\) | 0.217747 | − | 0.670156i | 0.0253126 | − | 0.0779041i | ||||
\(75\) | −9.13499 | + | 10.8555i | −1.05482 | + | 1.25348i | ||||
\(76\) | −0.877098 | − | 2.69943i | −0.100610 | − | 0.309646i | ||||
\(77\) | 1.18077 | − | 2.98228i | 0.134561 | − | 0.339863i | ||||
\(78\) | 13.8101 | − | 14.7063i | 1.56369 | − | 1.66516i | ||||
\(79\) | −0.0302324 | − | 0.158484i | −0.00340141 | − | 0.0178308i | 0.980546 | − | 0.196289i | \(-0.0628891\pi\) |
−0.983947 | + | 0.178458i | \(0.942889\pi\) | |||||||
\(80\) | 4.82633 | − | 21.1739i | 0.539600 | − | 2.36731i | ||||
\(81\) | 0.994067 | − | 0.933491i | 0.110452 | − | 0.103721i | ||||
\(82\) | −3.21091 | + | 1.04329i | −0.354586 | + | 0.115212i | ||||
\(83\) | −3.16982 | − | 0.604675i | −0.347932 | − | 0.0663717i | 0.0104530 | − | 0.999945i | \(-0.496673\pi\) |
−0.358385 | + | 0.933574i | \(0.616673\pi\) | |||||||
\(84\) | 1.82407 | + | 28.9928i | 0.199023 | + | 3.16337i | ||||
\(85\) | −2.24729 | + | 13.8134i | −0.243753 | + | 1.49827i | ||||
\(86\) | 13.1872 | + | 20.7797i | 1.42201 | + | 2.24073i | ||||
\(87\) | −18.8358 | + | 1.18505i | −2.01941 | + | 0.127050i | ||||
\(88\) | 9.48350 | + | 6.01841i | 1.01094 | + | 0.641565i | ||||
\(89\) | −8.15633 | + | 9.85930i | −0.864569 | + | 1.04508i | 0.133967 | + | 0.990986i | \(0.457228\pi\) |
−0.998536 | + | 0.0540983i | \(0.982772\pi\) | |||||||
\(90\) | 24.3559 | + | 16.7021i | 2.56734 | + | 1.76056i | ||||
\(91\) | −5.57642 | − | 1.43178i | −0.584567 | − | 0.150091i | ||||
\(92\) | −21.1955 | + | 9.97383i | −2.20978 | + | 1.03984i | ||||
\(93\) | 4.97574 | + | 1.61671i | 0.515960 | + | 0.167645i | ||||
\(94\) | 2.14082 | + | 1.17692i | 0.220808 | + | 0.121390i | ||||
\(95\) | 0.199876 | + | 1.29718i | 0.0205069 | + | 0.133088i | ||||
\(96\) | −29.7416 | − | 3.75724i | −3.03549 | − | 0.383472i | ||||
\(97\) | 0.605212 | − | 4.79075i | 0.0614500 | − | 0.486427i | −0.931116 | − | 0.364722i | \(-0.881164\pi\) |
0.992566 | − | 0.121704i | \(-0.0388360\pi\) | |||||||
\(98\) | −5.55767 | + | 3.52701i | −0.561410 | + | 0.356281i | ||||
\(99\) | −6.19157 | + | 4.49844i | −0.622276 | + | 0.452110i | ||||
\(100\) | −9.08898 | + | 22.4048i | −0.908898 | + | 2.24048i | ||||
\(101\) | −1.28902 | − | 0.936530i | −0.128263 | − | 0.0931882i | 0.521804 | − | 0.853065i | \(-0.325259\pi\) |
−0.650067 | + | 0.759877i | \(0.725259\pi\) | |||||||
\(102\) | 46.3403 | + | 2.91548i | 4.58837 | + | 0.288676i | ||||
\(103\) | −0.898896 | − | 1.63509i | −0.0885709 | − | 0.161110i | 0.828311 | − | 0.560269i | \(-0.189302\pi\) |
−0.916882 | + | 0.399159i | \(0.869302\pi\) | |||||||
\(104\) | 8.58400 | − | 18.2419i | 0.841731 | − | 1.78877i | ||||
\(105\) | 1.32030 | − | 13.3681i | 0.128848 | − | 1.30460i | ||||
\(106\) | 4.51391 | − | 23.6627i | 0.438430 | − | 2.29833i | ||||
\(107\) | −3.30818 | − | 4.55332i | −0.319814 | − | 0.440187i | 0.618596 | − | 0.785709i | \(-0.287702\pi\) |
−0.938410 | + | 0.345523i | \(0.887702\pi\) | |||||||
\(108\) | 13.5614 | − | 24.6682i | 1.30495 | − | 2.37370i | ||||
\(109\) | 9.67930 | − | 15.2521i | 0.927109 | − | 1.46089i | 0.0400690 | − | 0.999197i | \(-0.487242\pi\) |
0.887040 | − | 0.461693i | \(-0.152758\pi\) | |||||||
\(110\) | −6.61916 | − | 5.88514i | −0.631112 | − | 0.561126i | ||||
\(111\) | 0.711048 | + | 0.281524i | 0.0674897 | + | 0.0267211i | ||||
\(112\) | 7.56943 | + | 19.1182i | 0.715244 | + | 1.80650i | ||||
\(113\) | −3.70909 | + | 3.06842i | −0.348921 | + | 0.288653i | −0.795330 | − | 0.606176i | \(-0.792703\pi\) |
0.446409 | + | 0.894829i | \(0.352703\pi\) | |||||||
\(114\) | 4.21773 | − | 1.08293i | 0.395026 | − | 0.101426i | ||||
\(115\) | 10.4145 | − | 2.97834i | 0.971156 | − | 0.277732i | ||||
\(116\) | −29.9043 | + | 11.8399i | −2.77654 | + | 1.09931i | ||||
\(117\) | 9.40361 | + | 10.0138i | 0.869364 | + | 0.925778i | ||||
\(118\) | −9.92420 | + | 13.6595i | −0.913596 | + | 1.25746i | ||||
\(119\) | −5.64190 | − | 11.9896i | −0.517192 | − | 1.09909i | ||||
\(120\) | 45.1166 | + | 13.3132i | 4.11856 | + | 1.21532i | ||||
\(121\) | −7.62801 | + | 4.19354i | −0.693456 | + | 0.381231i | ||||
\(122\) | 31.0249 | − | 5.91831i | 2.80886 | − | 0.535818i | ||||
\(123\) | −0.911236 | − | 3.54903i | −0.0821634 | − | 0.320005i | ||||
\(124\) | 8.91589 | 0.800670 | ||||||||
\(125\) | 5.81198 | − | 9.55096i | 0.519839 | − | 0.854264i | ||||
\(126\) | −27.9621 | −2.49106 | ||||||||
\(127\) | −0.884699 | − | 3.44568i | −0.0785043 | − | 0.305754i | 0.917190 | − | 0.398450i | \(-0.130452\pi\) |
−0.995695 | + | 0.0926955i | \(0.970452\pi\) | |||||||
\(128\) | −0.297499 | + | 0.0567509i | −0.0262954 | + | 0.00501612i | ||||
\(129\) | −23.4064 | + | 12.8678i | −2.06082 | + | 1.13295i | ||||
\(130\) | −8.99104 | + | 13.1112i | −0.788567 | + | 1.14993i | ||||
\(131\) | 4.90195 | + | 10.4172i | 0.428285 | + | 0.910153i | 0.996202 | + | 0.0870671i | \(0.0277495\pi\) |
−0.567917 | + | 0.823086i | \(0.692251\pi\) | |||||||
\(132\) | −12.2188 | + | 16.8178i | −1.06351 | + | 1.46380i | ||||
\(133\) | −0.850685 | − | 0.905888i | −0.0737638 | − | 0.0785504i | ||||
\(134\) | 9.53045 | − | 3.77337i | 0.823305 | − | 0.325970i | ||||
\(135\) | −8.02133 | + | 10.2519i | −0.690366 | + | 0.882343i | ||||
\(136\) | 44.9432 | − | 11.5395i | 3.85385 | − | 0.989501i | ||||
\(137\) | −9.14149 | + | 7.56250i | −0.781010 | + | 0.646108i | −0.940001 | − | 0.341172i | \(-0.889176\pi\) |
0.158991 | + | 0.987280i | \(0.449176\pi\) | |||||||
\(138\) | −13.2296 | − | 33.4143i | −1.12618 | − | 2.84441i | ||||
\(139\) | 5.72767 | + | 2.26774i | 0.485814 | + | 0.192347i | 0.598247 | − | 0.801312i | \(-0.295864\pi\) |
−0.112433 | + | 0.993659i | \(0.535864\pi\) | |||||||
\(140\) | −4.90002 | − | 22.3619i | −0.414128 | − | 1.88993i | ||||
\(141\) | −1.42069 | + | 2.23865i | −0.119644 | + | 0.188528i | ||||
\(142\) | −17.7115 | + | 32.2170i | −1.48631 | + | 2.70359i | ||||
\(143\) | −2.42159 | − | 3.33303i | −0.202503 | − | 0.278722i | ||||
\(144\) | 9.19321 | − | 48.1925i | 0.766101 | − | 4.01604i | ||||
\(145\) | 14.5279 | − | 3.18340i | 1.20647 | − | 0.264367i | ||||
\(146\) | 7.07785 | − | 15.0412i | 0.585767 | − | 1.24482i | ||||
\(147\) | −3.44158 | − | 6.26021i | −0.283857 | − | 0.516333i | ||||
\(148\) | 1.30070 | + | 0.0818329i | 0.106917 | + | 0.00672662i | ||||
\(149\) | 8.39207 | + | 6.09719i | 0.687505 | + | 0.499502i | 0.875839 | − | 0.482604i | \(-0.160309\pi\) |
−0.188334 | + | 0.982105i | \(0.560309\pi\) | |||||||
\(150\) | −33.4296 | − | 16.0749i | −2.72952 | − | 1.31251i | ||||
\(151\) | 6.96498 | − | 5.06036i | 0.566802 | − | 0.411806i | −0.267140 | − | 0.963658i | \(-0.586079\pi\) |
0.833942 | + | 0.551852i | \(0.186079\pi\) | |||||||
\(152\) | 3.67421 | − | 2.33172i | 0.298017 | − | 0.189128i | ||||
\(153\) | −3.96259 | + | 31.3672i | −0.320357 | + | 2.53588i | ||||
\(154\) | 8.31997 | + | 1.05106i | 0.670443 | + | 0.0846966i | ||||
\(155\) | −4.06933 | − | 0.662039i | −0.326856 | − | 0.0531762i | ||||
\(156\) | 32.6975 | + | 17.9756i | 2.61790 | + | 1.43920i | ||||
\(157\) | 15.0172 | + | 4.87938i | 1.19850 | + | 0.389417i | 0.839209 | − | 0.543809i | \(-0.183018\pi\) |
0.359292 | + | 0.933225i | \(0.383018\pi\) | |||||||
\(158\) | 0.381682 | − | 0.179606i | 0.0303650 | − | 0.0142887i | ||||
\(159\) | 25.3229 | + | 6.50183i | 2.00824 | + | 0.515628i | ||||
\(160\) | 23.6149 | − | 0.642926i | 1.86692 | − | 0.0508278i | ||||
\(161\) | −6.53741 | + | 7.90237i | −0.515220 | + | 0.622794i | ||||
\(162\) | 3.01029 | + | 1.91039i | 0.236510 | + | 0.150094i | ||||
\(163\) | 15.3504 | − | 0.965766i | 1.20234 | − | 0.0756446i | 0.551047 | − | 0.834474i | \(-0.314228\pi\) |
0.651289 | + | 0.758829i | \(0.274228\pi\) | |||||||
\(164\) | −3.34588 | − | 5.27227i | −0.261270 | − | 0.411695i | ||||
\(165\) | 6.82562 | − | 6.76856i | 0.531374 | − | 0.526932i | ||||
\(166\) | −0.529760 | − | 8.42029i | −0.0411174 | − | 0.653542i | ||||
\(167\) | −5.01307 | − | 0.956294i | −0.387923 | − | 0.0740003i | −0.0102696 | − | 0.999947i | \(-0.503269\pi\) |
−0.377654 | + | 0.925947i | \(0.623269\pi\) | |||||||
\(168\) | −42.3585 | + | 13.7631i | −3.26803 | + | 1.06185i | ||||
\(169\) | 4.08598 | − | 3.83699i | 0.314306 | − | 0.295153i | ||||
\(170\) | −36.4417 | + | 3.29049i | −2.79495 | + | 0.252369i | ||||
\(171\) | 0.555603 | + | 2.91257i | 0.0424880 | + | 0.222730i | ||||
\(172\) | −31.1599 | + | 33.1819i | −2.37592 | + | 2.53010i | ||||
\(173\) | 6.87214 | − | 17.3570i | 0.522479 | − | 1.31963i | −0.393839 | − | 0.919180i | \(-0.628853\pi\) |
0.916318 | − | 0.400452i | \(-0.131147\pi\) | |||||||
\(174\) | −15.2480 | − | 46.9286i | −1.15595 | − | 3.55765i | ||||
\(175\) | 0.575979 | + | 10.5701i | 0.0435399 | + | 0.799026i | ||||
\(176\) | −4.54688 | + | 13.9939i | −0.342734 | + | 1.05483i | ||||
\(177\) | −14.1191 | − | 11.6803i | −1.06126 | − | 0.877949i | ||||
\(178\) | −30.2706 | − | 14.2443i | −2.26888 | − | 1.06765i | ||||
\(179\) | 1.47298 | + | 1.38322i | 0.110096 | + | 0.103387i | 0.737641 | − | 0.675194i | \(-0.235940\pi\) |
−0.627544 | + | 0.778581i | \(0.715940\pi\) | |||||||
\(180\) | −18.7180 | + | 51.3144i | −1.39516 | + | 3.82475i | ||||
\(181\) | −15.8272 | + | 1.99944i | −1.17643 | + | 0.148617i | −0.689142 | − | 0.724626i | \(-0.742013\pi\) |
−0.487285 | + | 0.873243i | \(0.662013\pi\) | |||||||
\(182\) | − | 15.0525i | − | 1.11576i | ||||||
\(183\) | 4.29624 | + | 34.0082i | 0.317587 | + | 2.51396i | ||||
\(184\) | −22.8925 | − | 27.6722i | −1.68765 | − | 2.04002i | ||||
\(185\) | −0.587579 | − | 0.133931i | −0.0431997 | − | 0.00984683i | ||||
\(186\) | −0.858884 | + | 13.6516i | −0.0629764 | + | 1.00098i | ||||
\(187\) | 2.35810 | − | 9.18418i | 0.172441 | − | 0.671614i | ||||
\(188\) | −1.12369 | + | 4.37648i | −0.0819534 | + | 0.319188i | ||||
\(189\) | 0.773882 | − | 12.3005i | 0.0562917 | − | 0.894730i | ||||
\(190\) | −3.15498 | + | 1.34959i | −0.228887 | + | 0.0979095i | ||||
\(191\) | −11.8637 | − | 14.3408i | −0.858427 | − | 1.03766i | −0.998868 | − | 0.0475712i | \(-0.984852\pi\) |
0.140441 | − | 0.990089i | \(-0.455148\pi\) | |||||||
\(192\) | −2.91535 | − | 23.0773i | −0.210397 | − | 1.66546i | ||||
\(193\) | 7.81977i | 0.562879i | 0.959579 | + | 0.281440i | \(0.0908119\pi\) | ||||
−0.959579 | + | 0.281440i | \(0.909188\pi\) | |||||||
\(194\) | 12.5254 | − | 1.58233i | 0.899274 | − | 0.113605i | ||||
\(195\) | −13.5888 | − | 10.6322i | −0.973117 | − | 0.761390i | ||||
\(196\) | −8.87473 | − | 8.33392i | −0.633909 | − | 0.595280i | ||||
\(197\) | 19.0754 | + | 8.97621i | 1.35907 | + | 0.639529i | 0.960672 | − | 0.277685i | \(-0.0895672\pi\) |
0.398395 | + | 0.917214i | \(0.369567\pi\) | |||||||
\(198\) | −15.4175 | − | 12.7544i | −1.09567 | − | 0.906418i | ||||
\(199\) | −0.0212525 | + | 0.0654085i | −0.00150655 | + | 0.00463669i | −0.951807 | − | 0.306698i | \(-0.900776\pi\) |
0.950300 | + | 0.311334i | \(0.100776\pi\) | |||||||
\(200\) | −36.7364 | − | 4.95453i | −2.59765 | − | 0.350338i | ||||
\(201\) | 3.43770 | + | 10.5801i | 0.242477 | + | 0.746266i | ||||
\(202\) | 1.53351 | − | 3.87321i | 0.107898 | − | 0.272518i | ||||
\(203\) | −9.63958 | + | 10.2651i | −0.676566 | + | 0.720470i | ||||
\(204\) | 16.0919 | + | 84.3567i | 1.12666 | + | 5.90615i | ||||
\(205\) | 1.13562 | + | 2.65478i | 0.0793151 | + | 0.185418i | ||||
\(206\) | 3.55617 | − | 3.33947i | 0.247770 | − | 0.232672i | ||||
\(207\) | 23.2732 | − | 7.56192i | 1.61760 | − | 0.525590i | ||||
\(208\) | 25.9428 | + | 4.94886i | 1.79881 | + | 0.343142i | ||||
\(209\) | −0.0558371 | − | 0.887505i | −0.00386233 | − | 0.0613900i | ||||
\(210\) | 34.7115 | − | 5.34851i | 2.39532 | − | 0.369082i | ||||
\(211\) | −13.8860 | − | 21.8808i | −0.955950 | − | 1.50634i | −0.859587 | − | 0.510989i | \(-0.829279\pi\) |
−0.0963624 | − | 0.995346i | \(-0.530721\pi\) | |||||||
\(212\) | 44.4665 | − | 2.79760i | 3.05397 | − | 0.192140i | ||||
\(213\) | −33.6892 | − | 21.3798i | −2.30835 | − | 1.46492i | ||||
\(214\) | 9.37970 | − | 11.3381i | 0.641183 | − | 0.775057i | ||||
\(215\) | 16.6857 | − | 12.8309i | 1.13795 | − | 0.875063i | ||||
\(216\) | 41.8027 | + | 10.7331i | 2.84432 | + | 0.730296i | ||||
\(217\) | 3.53208 | − | 1.66207i | 0.239773 | − | 0.112829i | ||||
\(218\) | 44.9175 | + | 14.5946i | 3.04220 | + | 0.988469i | ||||
\(219\) | 15.8097 | + | 8.69145i | 1.06832 | + | 0.587314i | ||||
\(220\) | 7.49828 | − | 14.5647i | 0.505534 | − | 0.981955i | ||||
\(221\) | −16.8855 | − | 2.13313i | −1.13584 | − | 0.143490i | ||||
\(222\) | −0.250597 | + | 1.98368i | −0.0168190 | + | 0.133136i | ||||
\(223\) | −17.2022 | + | 10.9168i | −1.15194 | + | 0.731046i | −0.967767 | − | 0.251848i | \(-0.918962\pi\) |
−0.184177 | + | 0.982893i | \(0.558962\pi\) | |||||||
\(224\) | −18.0956 | + | 13.1472i | −1.20907 | + | 0.878438i | ||||
\(225\) | 12.3534 | − | 22.0307i | 0.823562 | − | 1.46871i | ||||
\(226\) | −10.1820 | − | 7.39767i | −0.677298 | − | 0.492086i | ||||
\(227\) | −20.6969 | − | 1.30214i | −1.37370 | − | 0.0864259i | −0.641295 | − | 0.767295i | \(-0.721602\pi\) |
−0.732406 | + | 0.680869i | \(0.761602\pi\) | |||||||
\(228\) | 3.87999 | + | 7.05768i | 0.256959 | + | 0.467406i | ||||
\(229\) | 1.16145 | − | 2.46820i | 0.0767505 | − | 0.163103i | −0.862769 | − | 0.505598i | \(-0.831272\pi\) |
0.939520 | + | 0.342495i | \(0.111272\pi\) | |||||||
\(230\) | 14.3138 | + | 24.4368i | 0.943822 | + | 1.61131i | ||||
\(231\) | −1.70544 | + | 8.94024i | −0.112210 | + | 0.588225i | ||||
\(232\) | −28.9841 | − | 39.8932i | −1.90290 | − | 2.61912i | ||||
\(233\) | 12.3562 | − | 22.4758i | 0.809482 | − | 1.47244i | −0.0705404 | − | 0.997509i | \(-0.522472\pi\) |
0.880022 | − | 0.474933i | \(-0.157528\pi\) | |||||||
\(234\) | −19.2444 | + | 30.3244i | −1.25805 | + | 1.98237i | ||||
\(235\) | 0.837837 | − | 1.91405i | 0.0546545 | − | 0.124859i | ||||
\(236\) | −29.0348 | − | 11.4957i | −1.89001 | − | 0.748307i | ||||
\(237\) | 0.168532 | + | 0.425662i | 0.0109473 | + | 0.0276497i | ||||
\(238\) | 26.6938 | − | 22.0830i | 1.73030 | − | 1.43143i | ||||
\(239\) | 7.31314 | − | 1.87769i | 0.473047 | − | 0.121458i | −0.00463731 | − | 0.999989i | \(-0.501476\pi\) |
0.477685 | + | 0.878531i | \(0.341476\pi\) | |||||||
\(240\) | −2.19411 | + | 61.5835i | −0.141629 | + | 3.97520i | ||||
\(241\) | 6.65527 | − | 2.63501i | 0.428704 | − | 0.169736i | −0.143856 | − | 0.989599i | \(-0.545950\pi\) |
0.572560 | + | 0.819863i | \(0.305950\pi\) | |||||||
\(242\) | −15.5793 | − | 16.5903i | −1.00148 | − | 1.06646i | ||||
\(243\) | 7.99079 | − | 10.9984i | 0.512610 | − | 0.705547i | ||||
\(244\) | 24.8725 | + | 52.8568i | 1.59230 | + | 3.38381i | ||||
\(245\) | 3.43172 | + | 4.46270i | 0.219244 | + | 0.285111i | ||||
\(246\) | 8.39496 | − | 4.61517i | 0.535243 | − | 0.294252i | ||||
\(247\) | −1.56789 | + | 0.299091i | −0.0997623 | + | 0.0190307i | ||||
\(248\) | 3.39946 | + | 13.2400i | 0.215866 | + | 0.840741i | ||||
\(249\) | 9.15663 | 0.580278 | ||||||||
\(250\) | 27.9655 | + | 8.50801i | 1.76869 | + | 0.538094i | ||||
\(251\) | −7.84911 | −0.495431 | −0.247716 | − | 0.968833i | \(-0.579680\pi\) | ||||
−0.247716 | + | 0.968833i | \(0.579680\pi\) | |||||||
\(252\) | −12.8615 | − | 50.0923i | −0.810200 | − | 3.15552i | ||||
\(253\) | −7.20906 | + | 1.37520i | −0.453230 | + | 0.0864582i | ||||
\(254\) | 8.15048 | − | 4.48076i | 0.511407 | − | 0.281148i | ||||
\(255\) | −1.08075 | − | 39.6964i | −0.0676792 | − | 2.48589i | ||||
\(256\) | 6.64354 | + | 14.1182i | 0.415221 | + | 0.882390i | ||||
\(257\) | −10.3180 | + | 14.2015i | −0.643617 | + | 0.885862i | −0.998802 | − | 0.0489337i | \(-0.984418\pi\) |
0.355186 | + | 0.934796i | \(0.384418\pi\) | |||||||
\(258\) | −47.8049 | − | 50.9070i | −2.97620 | − | 3.16933i | ||||
\(259\) | 0.530533 | − | 0.210053i | 0.0329657 | − | 0.0130520i | ||||
\(260\) | −27.6234 | − | 10.0762i | −1.71313 | − | 0.624900i | ||||
\(261\) | 32.5435 | − | 8.35576i | 2.01439 | − | 0.517208i | ||||
\(262\) | −23.1929 | + | 19.1868i | −1.43286 | + | 1.18536i | ||||
\(263\) | 8.76267 | + | 22.1320i | 0.540329 | + | 1.36472i | 0.901728 | + | 0.432305i | \(0.142299\pi\) |
−0.361398 | + | 0.932412i | \(0.617701\pi\) | |||||||
\(264\) | −29.6330 | − | 11.7326i | −1.82379 | − | 0.722089i | ||||
\(265\) | −20.5028 | − | 2.02495i | −1.25948 | − | 0.124392i | ||||
\(266\) | 1.74092 | − | 2.74326i | 0.106743 | − | 0.168200i | ||||
\(267\) | 17.4917 | − | 31.8172i | 1.07047 | − | 1.94718i | ||||
\(268\) | 11.1434 | + | 15.3376i | 0.680692 | + | 0.936892i | ||||
\(269\) | −4.81473 | + | 25.2397i | −0.293559 | + | 1.53889i | 0.463828 | + | 0.885926i | \(0.346476\pi\) |
−0.757387 | + | 0.652966i | \(0.773524\pi\) | |||||||
\(270\) | −31.1770 | − | 13.6472i | −1.89737 | − | 0.830539i | ||||
\(271\) | −6.21921 | + | 13.2165i | −0.377790 | + | 0.802844i | 0.622013 | + | 0.783007i | \(0.286315\pi\) |
−0.999803 | + | 0.0198377i | \(0.993685\pi\) | |||||||
\(272\) | 29.2837 | + | 53.2669i | 1.77559 | + | 3.22978i | ||||
\(273\) | 16.3043 | + | 1.02578i | 0.986778 | + | 0.0620828i | ||||
\(274\) | −25.0948 | − | 18.2324i | −1.51603 | − | 1.10146i | ||||
\(275\) | −4.50380 | + | 6.09077i | −0.271589 | + | 0.367287i | ||||
\(276\) | 53.7744 | − | 39.0694i | 3.23684 | − | 2.35170i | ||||
\(277\) | 2.04010 | − | 1.29469i | 0.122578 | − | 0.0777902i | −0.473124 | − | 0.880996i | \(-0.656874\pi\) |
0.595702 | + | 0.803205i | \(0.296874\pi\) | |||||||
\(278\) | −2.01862 | + | 15.9790i | −0.121069 | + | 0.958359i | ||||
\(279\) | −9.24058 | − | 1.16736i | −0.553219 | − | 0.0698878i | ||||
\(280\) | 31.3389 | − | 15.8027i | 1.87286 | − | 0.944389i | ||||
\(281\) | 13.5815 | + | 7.46650i | 0.810205 | + | 0.445414i | 0.832289 | − | 0.554342i | \(-0.187030\pi\) |
−0.0220840 | + | 0.999756i | \(0.507030\pi\) | |||||||
\(282\) | −6.59281 | − | 2.14213i | −0.392596 | − | 0.127562i | ||||
\(283\) | 26.5684 | − | 12.5021i | 1.57932 | − | 0.743174i | 0.581789 | − | 0.813339i | \(-0.302353\pi\) |
0.997535 | + | 0.0701657i | \(0.0223528\pi\) | |||||||
\(284\) | −65.8613 | − | 16.9103i | −3.90815 | − | 1.00344i | ||||
\(285\) | −1.24682 | − | 3.50933i | −0.0738553 | − | 0.207874i | ||||
\(286\) | 6.86593 | − | 8.29948i | 0.405991 | − | 0.490759i | ||||
\(287\) | −2.30833 | − | 1.46491i | −0.136256 | − | 0.0864709i | ||||
\(288\) | 53.2637 | − | 3.35107i | 3.13859 | − | 0.197463i | ||||
\(289\) | −11.8802 | − | 18.7203i | −0.698838 | − | 1.10119i | ||||
\(290\) | 17.5076 | + | 34.7201i | 1.02808 | + | 2.03883i | ||||
\(291\) | 0.860351 | + | 13.6749i | 0.0504347 | + | 0.801636i | ||||
\(292\) | 30.2009 | + | 5.76112i | 1.76737 | + | 0.337144i | ||||
\(293\) | −14.0675 | + | 4.57081i | −0.821832 | + | 0.267030i | −0.689601 | − | 0.724189i | \(-0.742214\pi\) |
−0.132231 | + | 0.991219i | \(0.542214\pi\) | |||||||
\(294\) | 13.6154 | − | 12.7857i | 0.794067 | − | 0.745679i | ||||
\(295\) | 12.3983 | + | 7.40274i | 0.721857 | + | 0.431004i | ||||
\(296\) | 0.374410 | + | 1.96272i | 0.0217621 | + | 0.114081i | ||||
\(297\) | 6.03736 | − | 6.42914i | 0.350323 | − | 0.373056i | ||||
\(298\) | −9.98379 | + | 25.2162i | −0.578346 | + | 1.46073i | ||||
\(299\) | 4.07071 | + | 12.5284i | 0.235415 | + | 0.724534i | ||||
\(300\) | 13.4208 | − | 67.2808i | 0.774850 | − | 3.88446i | ||||
\(301\) | −6.15850 | + | 18.9539i | −0.354970 | + | 1.09249i | ||||
\(302\) | 17.3433 | + | 14.3476i | 0.997995 | + | 0.825614i | ||||
\(303\) | 4.09081 | + | 1.92499i | 0.235011 | + | 0.110588i | ||||
\(304\) | 4.15561 | + | 3.90238i | 0.238341 | + | 0.223817i | ||||
\(305\) | −7.42734 | − | 25.9715i | −0.425288 | − | 1.48712i | ||||
\(306\) | −82.0096 | + | 10.3602i | −4.68818 | + | 0.592255i | ||||
\(307\) | − | 17.9259i | − | 1.02309i | −0.859257 | − | 0.511544i | \(-0.829074\pi\) | ||
0.859257 | − | 0.511544i | \(-0.170926\pi\) | |||||||
\(308\) | 1.94397 | + | 15.3881i | 0.110768 | + | 0.876821i | ||||
\(309\) | 3.37484 | + | 4.07948i | 0.191988 | + | 0.232074i | ||||
\(310\) | −0.969358 | − | 10.7355i | −0.0550559 | − | 0.609735i | ||||
\(311\) | 0.615247 | − | 9.77907i | 0.0348875 | − | 0.554520i | −0.941297 | − | 0.337579i | \(-0.890392\pi\) |
0.976185 | − | 0.216941i | \(-0.0696080\pi\) | |||||||
\(312\) | −14.2267 | + | 55.4093i | −0.805427 | + | 3.13693i | ||||
\(313\) | −1.80493 | + | 7.02973i | −0.102021 | + | 0.397344i | −0.998999 | − | 0.0447301i | \(-0.985757\pi\) |
0.896979 | + | 0.442074i | \(0.145757\pi\) | |||||||
\(314\) | −2.59218 | + | 41.2016i | −0.146285 | + | 2.32514i | ||||
\(315\) | 2.15062 | + | 23.8178i | 0.121174 | + | 1.34198i | ||||
\(316\) | 0.497311 | + | 0.601146i | 0.0279760 | + | 0.0338171i | ||||
\(317\) | 0.790970 | + | 6.26117i | 0.0444253 | + | 0.351663i | 0.998622 | + | 0.0524821i | \(0.0167132\pi\) |
−0.954197 | + | 0.299180i | \(0.903287\pi\) | |||||||
\(318\) | 68.3544i | 3.83313i | ||||||||
\(319\) | −9.99723 | + | 1.26294i | −0.559737 | + | 0.0707113i | ||||
\(320\) | 5.04005 | + | 17.6237i | 0.281748 | + | 0.985197i | ||||
\(321\) | 11.6418 | + | 10.9324i | 0.649782 | + | 0.610186i | ||||
\(322\) | −24.2623 | − | 11.4170i | −1.35209 | − | 0.636243i | ||||
\(323\) | −2.83060 | − | 2.34168i | −0.157499 | − | 0.130294i | ||||
\(324\) | −2.03771 | + | 6.27144i | −0.113206 | + | 0.348413i | ||||
\(325\) | 11.8595 | + | 6.65006i | 0.657847 | + | 0.368879i | ||||
\(326\) | 12.4265 | + | 38.2449i | 0.688242 | + | 2.11819i | ||||
\(327\) | −18.8693 | + | 47.6583i | −1.04347 | + | 2.63551i | ||||
\(328\) | 6.55355 | − | 6.97882i | 0.361859 | − | 0.385341i | ||||
\(329\) | 0.370693 | + | 1.94324i | 0.0204370 | + | 0.107134i | ||||
\(330\) | 21.5785 | + | 12.8840i | 1.18786 | + | 0.709243i | ||||
\(331\) | −20.9419 | + | 19.6657i | −1.15107 | + | 1.08093i | −0.155410 | + | 0.987850i | \(0.549670\pi\) |
−0.995659 | + | 0.0930752i | \(0.970330\pi\) | |||||||
\(332\) | 14.8407 | − | 4.82205i | 0.814492 | − | 0.264644i | ||||
\(333\) | −1.33735 | − | 0.255113i | −0.0732863 | − | 0.0139801i | ||||
\(334\) | −0.837817 | − | 13.3167i | −0.0458433 | − | 0.728658i | ||||
\(335\) | −3.94712 | − | 7.82772i | −0.215654 | − | 0.427674i | ||||
\(336\) | −31.2632 | − | 49.2629i | −1.70555 | − | 2.68751i | ||||
\(337\) | 11.0925 | − | 0.697882i | 0.604248 | − | 0.0380161i | 0.242280 | − | 0.970206i | \(-0.422105\pi\) |
0.361968 | + | 0.932190i | \(0.382105\pi\) | |||||||
\(338\) | 12.3734 | + | 7.85238i | 0.673023 | + | 0.427113i | ||||
\(339\) | 8.70674 | − | 10.5246i | 0.472885 | − | 0.571620i | ||||
\(340\) | −22.6565 | − | 63.7694i | −1.22872 | − | 3.45838i | ||||
\(341\) | 2.70560 | + | 0.694681i | 0.146517 | + | 0.0376191i | ||||
\(342\) | −7.01445 | + | 3.30075i | −0.379298 | + | 0.178484i | ||||
\(343\) | −19.1641 | − | 6.22680i | −1.03477 | − | 0.336216i | ||||
\(344\) | −61.1555 | − | 33.6205i | −3.29728 | − | 1.81270i | ||||
\(345\) | −27.4444 | + | 13.8388i | −1.47756 | + | 0.745057i | ||||
\(346\) | 48.4227 | + | 6.11720i | 2.60322 | + | 0.328863i | ||||
\(347\) | 2.18132 | − | 17.2669i | 0.117099 | − | 0.926937i | −0.818655 | − | 0.574285i | \(-0.805280\pi\) |
0.935755 | − | 0.352652i | \(-0.114720\pi\) | |||||||
\(348\) | 77.0560 | − | 48.9012i | 4.13064 | − | 2.62138i | ||||
\(349\) | 6.80186 | − | 4.94184i | 0.364095 | − | 0.264531i | −0.390663 | − | 0.920534i | \(-0.627754\pi\) |
0.754758 | + | 0.656003i | \(0.227754\pi\) | |||||||
\(350\) | −26.3929 | + | 8.33129i | −1.41076 | + | 0.445326i | ||||
\(351\) | −12.8071 | − | 9.30487i | −0.683590 | − | 0.496657i | ||||
\(352\) | −15.9743 | − | 1.00502i | −0.851432 | − | 0.0535676i | ||||
\(353\) | −4.26094 | − | 7.75062i | −0.226787 | − | 0.412524i | 0.738293 | − | 0.674480i | \(-0.235632\pi\) |
−0.965080 | + | 0.261957i | \(0.915632\pi\) | |||||||
\(354\) | 20.3987 | − | 43.3493i | 1.08418 | − | 2.30399i | ||||
\(355\) | 28.8043 | + | 12.6085i | 1.52878 | + | 0.669192i | ||||
\(356\) | 11.5943 | − | 60.7797i | 0.614499 | − | 3.22132i | ||||
\(357\) | 22.1004 | + | 30.4186i | 1.16968 | + | 1.60992i | ||||
\(358\) | −2.54509 | + | 4.62951i | −0.134512 | + | 0.244677i | ||||
\(359\) | −13.8884 | + | 21.8846i | −0.733002 | + | 1.15503i | 0.249427 | + | 0.968393i | \(0.419758\pi\) |
−0.982430 | + | 0.186633i | \(0.940242\pi\) | |||||||
\(360\) | −83.3382 | − | 8.23084i | −4.39231 | − | 0.433803i | ||||
\(361\) | 17.3454 | + | 6.86754i | 0.912917 | + | 0.361449i | ||||
\(362\) | −15.3542 | − | 38.7802i | −0.806998 | − | 2.03824i | ||||
\(363\) | 19.0316 | − | 15.7443i | 0.998901 | − | 0.826363i | ||||
\(364\) | 26.9655 | − | 6.92358i | 1.41338 | − | 0.362894i | ||||
\(365\) | −13.3563 | − | 4.87198i | −0.699101 | − | 0.255011i | ||||
\(366\) | −83.3279 | + | 32.9918i | −4.35562 | + | 1.72451i | ||||
\(367\) | −0.116994 | − | 0.124586i | −0.00610704 | − | 0.00650334i | 0.725908 | − | 0.687792i | \(-0.241420\pi\) |
−0.732015 | + | 0.681289i | \(0.761420\pi\) | |||||||
\(368\) | 27.6539 | − | 38.0623i | 1.44156 | − | 1.98414i | ||||
\(369\) | 2.77743 | + | 5.90235i | 0.144587 | + | 0.307264i | ||||
\(370\) | −0.0428813 | − | 1.57505i | −0.00222929 | − | 0.0818828i | ||||
\(371\) | 17.0941 | − | 9.39757i | 0.887483 | − | 0.487898i | ||||
\(372\) | −24.8510 | + | 4.74058i | −1.28846 | + | 0.245787i | ||||
\(373\) | −6.66270 | − | 25.9495i | −0.344981 | − | 1.34361i | −0.870222 | − | 0.492660i | \(-0.836025\pi\) |
0.525240 | − | 0.850954i | \(-0.323975\pi\) | |||||||
\(374\) | 24.7909 | 1.28191 | ||||||||
\(375\) | −11.1213 | + | 29.7113i | −0.574301 | + | 1.53429i | ||||
\(376\) | −6.92747 | −0.357257 | ||||||||
\(377\) | 4.49805 | + | 17.5187i | 0.231661 | + | 0.902261i | ||||
\(378\) | 31.6526 | − | 6.03805i | 1.62803 | − | 0.310564i | ||||
\(379\) | −12.1914 | + | 6.70225i | −0.626228 | + | 0.344272i | −0.763065 | − | 0.646322i | \(-0.776306\pi\) |
0.136837 | + | 0.990594i | \(0.456306\pi\) | |||||||
\(380\) | −3.86888 | − | 5.03119i | −0.198469 | − | 0.258095i | ||||
\(381\) | 4.29796 | + | 9.13363i | 0.220191 | + | 0.467930i | ||||
\(382\) | 28.6022 | − | 39.3676i | 1.46342 | − | 2.01422i | ||||
\(383\) | −11.4184 | − | 12.1594i | −0.583453 | − | 0.621314i | 0.367733 | − | 0.929931i | \(-0.380134\pi\) |
−0.951186 | + | 0.308617i | \(0.900134\pi\) | |||||||
\(384\) | 0.799035 | − | 0.316360i | 0.0407756 | − | 0.0161442i | ||||
\(385\) | 0.255373 | − | 7.16770i | 0.0130150 | − | 0.365300i | ||||
\(386\) | −19.8025 | + | 5.08442i | −1.00792 | + | 0.258790i | ||||
\(387\) | 36.6392 | − | 30.3106i | 1.86247 | − | 1.54077i | ||||
\(388\) | 8.59587 | + | 21.7107i | 0.436389 | + | 1.10219i | ||||
\(389\) | −14.0216 | − | 5.55155i | −0.710924 | − | 0.281475i | −0.0153020 | − | 0.999883i | \(-0.504871\pi\) |
−0.695622 | + | 0.718408i | \(0.744871\pi\) | |||||||
\(390\) | 18.0892 | − | 41.3250i | 0.915984 | − | 2.09257i | ||||
\(391\) | −16.2456 | + | 25.5989i | −0.821573 | + | 1.29459i | ||||
\(392\) | 8.99203 | − | 16.3564i | 0.454166 | − | 0.826125i | ||||
\(393\) | −19.2019 | − | 26.4291i | −0.968606 | − | 1.33317i | ||||
\(394\) | −10.3282 | + | 54.1423i | −0.520327 | + | 2.72765i | ||||
\(395\) | −0.182342 | − | 0.311299i | −0.00917463 | − | 0.0156631i | ||||
\(396\) | 15.7573 | − | 33.4860i | 0.791834 | − | 1.68273i | ||||
\(397\) | 3.48872 | + | 6.34595i | 0.175094 | + | 0.318494i | 0.949262 | − | 0.314485i | \(-0.101832\pi\) |
−0.774169 | + | 0.632979i | \(0.781832\pi\) | |||||||
\(398\) | −0.179457 | − | 0.0112905i | −0.00899535 | − | 0.000565940i | ||||
\(399\) | 2.85275 | + | 2.07264i | 0.142816 | + | 0.103762i | ||||
\(400\) | −5.68163 | − | 48.2271i | −0.284081 | − | 2.41136i | ||||
\(401\) | −3.99026 | + | 2.89909i | −0.199264 | + | 0.144774i | −0.682943 | − | 0.730472i | \(-0.739300\pi\) |
0.483679 | + | 0.875245i | \(0.339300\pi\) | |||||||
\(402\) | −24.5576 | + | 15.5847i | −1.22482 | + | 0.777296i | ||||
\(403\) | 0.628408 | − | 4.97436i | 0.0313032 | − | 0.247790i | ||||
\(404\) | 7.64397 | + | 0.965658i | 0.380302 | + | 0.0480433i | ||||
\(405\) | 1.39572 | − | 2.71106i | 0.0693538 | − | 0.134714i | ||||
\(406\) | −32.2627 | − | 17.7366i | −1.60117 | − | 0.880251i | ||||
\(407\) | 0.388332 | + | 0.126177i | 0.0192489 | + | 0.00625435i | ||||
\(408\) | −119.133 | + | 56.0599i | −5.89798 | + | 2.77538i | ||||
\(409\) | 8.34584 | + | 2.14285i | 0.412675 | + | 0.105957i | 0.449319 | − | 0.893371i | \(-0.351667\pi\) |
−0.0366437 | + | 0.999328i | \(0.511667\pi\) | |||||||
\(410\) | −5.98449 | + | 4.60195i | −0.295553 | + | 0.227274i | ||||
\(411\) | 21.4588 | − | 25.9392i | 1.05848 | − | 1.27949i | ||||
\(412\) | 7.61815 | + | 4.83463i | 0.375319 | + | 0.238185i | ||||
\(413\) | −13.6453 | + | 0.858489i | −0.671441 | + | 0.0422435i | ||||
\(414\) | 34.2818 | + | 54.0195i | 1.68486 | + | 2.65491i | ||||
\(415\) | −7.13157 | + | 1.09887i | −0.350075 | + | 0.0539412i | ||||
\(416\) | 1.80394 | + | 28.6727i | 0.0884452 | + | 1.40580i | ||||
\(417\) | −17.1703 | − | 3.27541i | −0.840833 | − | 0.160398i | ||||
\(418\) | 2.21118 | − | 0.718456i | 0.108152 | − | 0.0351409i | ||||
\(419\) | 15.2436 | − | 14.3147i | 0.744697 | − | 0.699317i | −0.216161 | − | 0.976358i | \(-0.569354\pi\) |
0.960858 | + | 0.277040i | \(0.0893536\pi\) | |||||||
\(420\) | 25.5475 | + | 59.7233i | 1.24659 | + | 2.91420i | ||||
\(421\) | −3.38424 | − | 17.7408i | −0.164938 | − | 0.864634i | −0.964506 | − | 0.264059i | \(-0.914938\pi\) |
0.799569 | − | 0.600575i | \(-0.205062\pi\) | |||||||
\(422\) | 46.3815 | − | 49.3913i | 2.25782 | − | 2.40433i | ||||
\(423\) | 1.73762 | − | 4.38873i | 0.0844861 | − | 0.213387i | ||||
\(424\) | 21.1086 | + | 64.9657i | 1.02513 | + | 3.15501i | ||||
\(425\) | 5.60561 | + | 30.7875i | 0.271912 | + | 1.49341i | ||||
\(426\) | 32.2368 | − | 99.2147i | 1.56188 | − | 4.80697i | ||||
\(427\) | 19.7068 | + | 16.3029i | 0.953678 | + | 0.788951i | ||||
\(428\) | 24.6258 | + | 11.5880i | 1.19033 | + | 0.560128i | ||||
\(429\) | 8.52178 | + | 8.00249i | 0.411436 | + | 0.386364i | ||||
\(430\) | 43.3417 | + | 33.9116i | 2.09012 | + | 1.63536i | ||||
\(431\) | 27.8749 | − | 3.52142i | 1.34269 | − | 0.169621i | 0.579063 | − | 0.815283i | \(-0.303419\pi\) |
0.763623 | + | 0.645662i | \(0.223419\pi\) | |||||||
\(432\) | 56.5381i | 2.72019i | ||||||||
\(433\) | 0.658486 | + | 5.21246i | 0.0316448 | + | 0.250495i | 1.00000 | 0.000916837i | \(0.000291838\pi\) | |
−0.968355 | + | 0.249578i | \(0.919708\pi\) | |||||||
\(434\) | 6.50553 | + | 7.86383i | 0.312275 | + | 0.377476i | ||||
\(435\) | −38.8005 | + | 16.5975i | −1.86034 | + | 0.795788i | ||||
\(436\) | −5.48489 | + | 87.1798i | −0.262678 | + | 4.17515i | ||||
\(437\) | −0.707120 | + | 2.75405i | −0.0338261 | + | 0.131744i | ||||
\(438\) | −11.7305 | + | 45.6871i | −0.560503 | + | 2.18302i | ||||
\(439\) | −0.489441 | + | 7.77944i | −0.0233597 | + | 0.371292i | 0.968929 | + | 0.247341i | \(0.0795568\pi\) |
−0.992288 | + | 0.123952i | \(0.960443\pi\) | |||||||
\(440\) | 24.4875 | + | 5.58161i | 1.16739 | + | 0.266093i | ||||
\(441\) | 8.10676 | + | 9.79939i | 0.386036 | + | 0.466637i | ||||
\(442\) | −5.57708 | − | 44.1472i | −0.265275 | − | 2.09987i | ||||
\(443\) | 1.17325i | 0.0557427i | 0.999612 | + | 0.0278713i | \(0.00887287\pi\) | ||||
−0.999612 | + | 0.0278713i | \(0.991127\pi\) | |||||||
\(444\) | −3.66890 | + | 0.463490i | −0.174118 | + | 0.0219963i | ||||
\(445\) | −9.80494 | + | 26.8797i | −0.464799 | + | 1.27422i | ||||
\(446\) | −38.8303 | − | 36.4641i | −1.83867 | − | 1.72662i | ||||
\(447\) | −26.6328 | − | 12.5325i | −1.25969 | − | 0.592765i | ||||
\(448\) | −13.3727 | − | 11.0628i | −0.631798 | − | 0.522669i | ||||
\(449\) | 10.4879 | − | 32.2784i | 0.494954 | − | 1.52331i | −0.322075 | − | 0.946714i | \(-0.604380\pi\) |
0.817029 | − | 0.576597i | \(-0.195620\pi\) | |||||||
\(450\) | 63.8220 | + | 16.9590i | 3.00860 | + | 0.799456i | ||||
\(451\) | −0.604549 | − | 1.86061i | −0.0284671 | − | 0.0876128i | ||||
\(452\) | 8.56910 | − | 21.6431i | 0.403057 | − | 1.01801i | ||||
\(453\) | −16.7227 | + | 17.8079i | −0.785700 | + | 0.836686i | ||||
\(454\) | −10.1596 | − | 53.2587i | −0.476816 | − | 2.49956i | ||||
\(455\) | −12.8215 | + | 1.15772i | −0.601083 | + | 0.0542746i | ||||
\(456\) | −9.00122 | + | 8.45271i | −0.421521 | + | 0.395834i | ||||
\(457\) | 19.9999 | − | 6.49835i | 0.935554 | − | 0.303980i | 0.198722 | − | 0.980056i | \(-0.436321\pi\) |
0.736832 | + | 0.676076i | \(0.236321\pi\) | |||||||
\(458\) | 7.00555 | + | 1.33638i | 0.327348 | + | 0.0624450i | ||||
\(459\) | −2.28775 | − | 36.3627i | −0.106783 | − | 1.69727i | ||||
\(460\) | −37.1931 | + | 36.8822i | −1.73414 | + | 1.71964i | ||||
\(461\) | −5.23092 | − | 8.24260i | −0.243628 | − | 0.383896i | 0.700406 | − | 0.713745i | \(-0.253002\pi\) |
−0.944034 | + | 0.329848i | \(0.893002\pi\) | |||||||
\(462\) | −23.7489 | + | 1.49415i | −1.10490 | + | 0.0695142i | ||||
\(463\) | −15.5248 | − | 9.85233i | −0.721498 | − | 0.457877i | 0.123707 | − | 0.992319i | \(-0.460522\pi\) |
−0.845205 | + | 0.534442i | \(0.820522\pi\) | |||||||
\(464\) | 41.1760 | − | 49.7732i | 1.91155 | − | 2.31066i | ||||
\(465\) | 11.6943 | − | 0.318383i | 0.542311 | − | 0.0147646i | ||||
\(466\) | 64.9511 | + | 16.6766i | 3.00880 | + | 0.772529i | ||||
\(467\) | 14.5223 | − | 6.83369i | 0.672013 | − | 0.316225i | −0.0593266 | − | 0.998239i | \(-0.518895\pi\) |
0.731340 | + | 0.682013i | \(0.238895\pi\) | |||||||
\(468\) | −63.1759 | − | 20.5271i | −2.92031 | − | 0.948865i | ||||
\(469\) | 7.27369 | + | 3.99875i | 0.335868 | + | 0.184645i | ||||
\(470\) | 5.39183 | + | 0.877195i | 0.248706 | + | 0.0404620i | ||||
\(471\) | −44.4513 | − | 5.61550i | −2.04821 | − | 0.258749i | ||||
\(472\) | 6.00059 | − | 47.4996i | 0.276200 | − | 2.18634i | ||||
\(473\) | −12.0411 | + | 7.64153i | −0.553651 | + | 0.351358i | ||||
\(474\) | −0.968353 | + | 0.703550i | −0.0444779 | + | 0.0323151i | ||||
\(475\) | 1.39222 | + | 2.58358i | 0.0638796 | + | 0.118543i | ||||
\(476\) | 51.8385 | + | 37.6628i | 2.37601 | + | 1.72627i | ||||
\(477\) | −46.4521 | − | 2.92252i | −2.12690 | − | 0.133813i | ||||
\(478\) | 9.51002 | + | 17.2987i | 0.434978 | + | 0.791222i | ||||
\(479\) | 6.56458 | − | 13.9504i | 0.299943 | − | 0.637412i | −0.696869 | − | 0.717199i | \(-0.745424\pi\) |
0.996812 | + | 0.0797870i | \(0.0254240\pi\) | |||||||
\(480\) | −65.4793 | + | 14.3481i | −2.98871 | + | 0.654896i | ||||
\(481\) | 0.137332 | − | 0.719918i | 0.00626179 | − | 0.0328254i | ||||
\(482\) | 11.0001 | + | 15.1403i | 0.501040 | + | 0.689622i | ||||
\(483\) | 14.0198 | − | 25.5020i | 0.637924 | − | 1.16038i | ||||
\(484\) | 22.5545 | − | 35.5402i | 1.02521 | − | 1.61547i | ||||
\(485\) | −2.31117 | − | 10.5473i | −0.104945 | − | 0.478930i | ||||
\(486\) | 33.0476 | + | 13.0845i | 1.49907 | + | 0.593523i | ||||
\(487\) | 5.50598 | + | 13.9065i | 0.249500 | + | 0.630164i | 0.999511 | − | 0.0312606i | \(-0.00995217\pi\) |
−0.750012 | + | 0.661425i | \(0.769952\pi\) | |||||||
\(488\) | −69.0085 | + | 57.0888i | −3.12387 | + | 2.58429i | ||||
\(489\) | −42.2722 | + | 10.8537i | −1.91162 | + | 0.490819i | ||||
\(490\) | −9.06987 | + | 11.5920i | −0.409735 | + | 0.523674i | ||||
\(491\) | 8.86528 | − | 3.51001i | 0.400084 | − | 0.158405i | −0.159461 | − | 0.987204i | \(-0.550976\pi\) |
0.559546 | + | 0.828800i | \(0.310976\pi\) | |||||||
\(492\) | 12.1291 | + | 12.9162i | 0.546824 | + | 0.582308i | ||||
\(493\) | −24.4685 | + | 33.6779i | −1.10200 | + | 1.51678i | ||||
\(494\) | −1.77685 | − | 3.77600i | −0.0799442 | − | 0.169890i | ||||
\(495\) | −9.67830 | + | 14.1134i | −0.435007 | + | 0.634350i | ||||
\(496\) | −15.6921 | + | 8.62681i | −0.704596 | + | 0.387355i | ||||
\(497\) | −29.2437 | + | 5.57853i | −1.31176 | + | 0.250231i | ||||
\(498\) | 5.95365 | + | 23.1880i | 0.266790 | + | 1.03908i | ||||
\(499\) | 6.23772 | 0.279239 | 0.139619 | − | 0.990205i | \(-0.455412\pi\) | ||||
0.139619 | + | 0.990205i | \(0.455412\pi\) | |||||||
\(500\) | −2.37847 | + | 54.0117i | −0.106368 | + | 2.41548i | ||||
\(501\) | 14.4812 | 0.646974 | ||||||||
\(502\) | −5.10350 | − | 19.8768i | −0.227780 | − | 0.887146i | ||||
\(503\) | 36.8604 | − | 7.03150i | 1.64352 | − | 0.313519i | 0.719107 | − | 0.694900i | \(-0.244551\pi\) |
0.924418 | + | 0.381381i | \(0.124551\pi\) | |||||||
\(504\) | 69.4828 | − | 38.1985i | 3.09501 | − | 1.70149i | ||||
\(505\) | −3.41711 | − | 1.00833i | −0.152059 | − | 0.0448702i | ||||
\(506\) | −8.16985 | − | 17.3618i | −0.363194 | − | 0.771827i | ||||
\(507\) | −9.34860 | + | 12.8672i | −0.415186 | + | 0.571454i | ||||
\(508\) | 11.7759 | + | 12.5401i | 0.522472 | + | 0.556376i | ||||
\(509\) | −19.3757 | + | 7.67139i | −0.858814 | + | 0.340028i | −0.755920 | − | 0.654664i | \(-0.772810\pi\) |
−0.102894 | + | 0.994692i | \(0.532810\pi\) | |||||||
\(510\) | 99.8231 | − | 28.5475i | 4.42024 | − | 1.26410i | ||||
\(511\) | 13.0382 | − | 3.34764i | 0.576776 | − | 0.148091i | ||||
\(512\) | −31.8996 | + | 26.3897i | −1.40978 | + | 1.16627i | ||||
\(513\) | −1.25786 | − | 3.17700i | −0.0555360 | − | 0.140268i | ||||
\(514\) | −42.6720 | − | 16.8950i | −1.88218 | − | 0.745209i | ||||
\(515\) | −3.11804 | − | 2.77227i | −0.137397 | − | 0.122161i | ||||
\(516\) | 69.2082 | − | 109.055i | 3.04672 | − | 4.80086i | ||||
\(517\) | −0.681987 | + | 1.24053i | −0.0299937 | + | 0.0545584i | ||||
\(518\) | 0.876884 | + | 1.20693i | 0.0385281 | + | 0.0530293i | ||||
\(519\) | −9.92576 | + | 52.0327i | −0.435692 | + | 2.28398i | ||||
\(520\) | 4.43080 | − | 44.8624i | 0.194303 | − | 1.96735i | ||||
\(521\) | −2.08919 | + | 4.43976i | −0.0915292 | + | 0.194509i | −0.945350 | − | 0.326058i | \(-0.894280\pi\) |
0.853821 | + | 0.520567i | \(0.174280\pi\) | |||||||
\(522\) | 42.3197 | + | 76.9792i | 1.85228 | + | 3.36929i | ||||
\(523\) | −26.8011 | − | 1.68618i | −1.17193 | − | 0.0737317i | −0.535137 | − | 0.844765i | \(-0.679740\pi\) |
−0.636794 | + | 0.771034i | \(0.719740\pi\) | |||||||
\(524\) | −45.0398 | − | 32.7233i | −1.96757 | − | 1.42952i | ||||
\(525\) | −7.22554 | − | 29.1555i | −0.315348 | − | 1.27245i | ||||
\(526\) | −50.3488 | + | 36.5805i | −2.19531 | + | 1.59499i | ||||
\(527\) | 9.74335 | − | 6.18332i | 0.424427 | − | 0.269350i | ||||
\(528\) | 5.23284 | − | 41.4222i | 0.227730 | − | 1.80267i | ||||
\(529\) | 0.462733 | + | 0.0584568i | 0.0201188 | + | 0.00254160i | ||||
\(530\) | −8.20306 | − | 53.2373i | −0.356318 | − | 2.31248i | ||||
\(531\) | 28.5871 | + | 15.7159i | 1.24057 | + | 0.682011i | ||||
\(532\) | 5.71513 | + | 1.85696i | 0.247782 | + | 0.0805093i | ||||
\(533\) | −3.17733 | + | 1.49514i | −0.137626 | + | 0.0647617i | ||||
\(534\) | 91.9460 | + | 23.6077i | 3.97889 | + | 1.02161i | ||||
\(535\) | −10.3791 | − | 7.11749i | −0.448727 | − | 0.307716i | ||||
\(536\) | −18.5274 | + | 22.3958i | −0.800261 | + | 0.967350i | ||||
\(537\) | −4.84106 | − | 3.07223i | −0.208907 | − | 0.132577i | ||||
\(538\) | −67.0467 | + | 4.21822i | −2.89059 | + | 0.181860i | ||||
\(539\) | −2.04378 | − | 3.22048i | −0.0880317 | − | 0.138716i | ||||
\(540\) | 10.1077 | − | 62.1288i | 0.434968 | − | 2.67360i | ||||
\(541\) | −2.34914 | − | 37.3385i | −0.100997 | − | 1.60531i | −0.643631 | − | 0.765336i | \(-0.722573\pi\) |
0.542633 | − | 0.839970i | \(-0.317427\pi\) | |||||||
\(542\) | −37.5127 | − | 7.15593i | −1.61131 | − | 0.307374i | ||||
\(543\) | 43.0516 | − | 13.9883i | 1.84752 | − | 0.600296i | ||||
\(544\) | −48.2012 | + | 45.2640i | −2.06661 | + | 1.94068i | ||||
\(545\) | 8.97681 | − | 39.3827i | 0.384524 | − | 1.68697i | ||||
\(546\) | 8.00340 | + | 41.9553i | 0.342514 | + | 1.79552i | ||||
\(547\) | −3.88401 | + | 4.13606i | −0.166068 | + | 0.176845i | −0.806620 | − | 0.591070i | \(-0.798706\pi\) |
0.640552 | + | 0.767915i | \(0.278706\pi\) | |||||||
\(548\) | 21.1196 | − | 53.3420i | 0.902184 | − | 2.27866i | ||||
\(549\) | −18.8578 | − | 58.0383i | −0.804831 | − | 2.47701i | ||||
\(550\) | −18.3524 | − | 7.44505i | −0.782550 | − | 0.317458i | ||||
\(551\) | −1.20641 | + | 3.71295i | −0.0513948 | + | 0.158177i | ||||
\(552\) | 78.5207 | + | 64.9580i | 3.34206 | + | 2.76480i | ||||
\(553\) | 0.309076 | + | 0.145440i | 0.0131433 | + | 0.00618475i | ||||
\(554\) | 4.60510 | + | 4.32447i | 0.195652 | + | 0.183729i | ||||
\(555\) | 1.70895 | + | 0.0608869i | 0.0725410 | + | 0.00258451i | ||||
\(556\) | −29.5539 | + | 3.73353i | −1.25336 | + | 0.158337i | ||||
\(557\) | 35.5369i | 1.50575i | 0.658166 | + | 0.752873i | \(0.271332\pi\) | ||||
−0.658166 | + | 0.752873i | \(0.728668\pi\) | |||||||
\(558\) | −3.05206 | − | 24.1595i | −0.129204 | − | 1.02275i | ||||
\(559\) | 16.3167 | + | 19.7235i | 0.690122 | + | 0.834215i | ||||
\(560\) | 30.2610 | + | 34.6162i | 1.27876 | + | 1.46280i | ||||
\(561\) | −1.68942 | + | 26.8526i | −0.0713274 | + | 1.13372i | ||||
\(562\) | −10.0772 | + | 39.2481i | −0.425081 | + | 1.65558i | ||||
\(563\) | 10.7608 | − | 41.9107i | 0.453515 | − | 1.76632i | −0.170959 | − | 0.985278i | \(-0.554687\pi\) |
0.624474 | − | 0.781046i | \(-0.285313\pi\) | |||||||
\(564\) | 0.805049 | − | 12.7959i | 0.0338987 | − | 0.538804i | ||||
\(565\) | −5.51814 | + | 9.24191i | −0.232150 | + | 0.388810i | ||||
\(566\) | 48.9347 | + | 59.1519i | 2.05688 | + | 2.48634i | ||||
\(567\) | 0.361849 | + | 2.86433i | 0.0151962 | + | 0.120290i | ||||
\(568\) | − | 104.251i | − | 4.37427i | ||||||
\(569\) | −33.1894 | + | 4.19279i | −1.39137 | + | 0.175771i | −0.785042 | − | 0.619443i | \(-0.787359\pi\) |
−0.606329 | + | 0.795214i | \(0.707359\pi\) | |||||||
\(570\) | 8.07621 | − | 5.43917i | 0.338275 | − | 0.227822i | ||||
\(571\) | 8.79856 | + | 8.26240i | 0.368208 | + | 0.345771i | 0.846460 | − | 0.532452i | \(-0.178729\pi\) |
−0.478252 | + | 0.878223i | \(0.658729\pi\) | |||||||
\(572\) | 18.0261 | + | 8.48242i | 0.753708 | + | 0.354668i | ||||
\(573\) | 40.6923 | + | 33.6636i | 1.69995 | + | 1.40632i | ||||
\(574\) | 2.20881 | − | 6.79802i | 0.0921939 | − | 0.283744i | ||||
\(575\) | 19.7141 | − | 14.0718i | 0.822134 | − | 0.586834i | ||||
\(576\) | 12.7965 | + | 39.3837i | 0.533189 | + | 1.64099i | ||||
\(577\) | 8.41059 | − | 21.2427i | 0.350138 | − | 0.884346i | −0.642835 | − | 0.766004i | \(-0.722242\pi\) |
0.992973 | − | 0.118342i | \(-0.0377579\pi\) | |||||||
\(578\) | 39.6820 | − | 42.2571i | 1.65055 | − | 1.75766i | ||||
\(579\) | −4.15777 | − | 21.7958i | −0.172791 | − | 0.905802i | ||||
\(580\) | −54.1459 | + | 47.3336i | −2.24829 | + | 1.96542i | ||||
\(581\) | 4.98033 | − | 4.67684i | 0.206619 | − | 0.194028i | ||||
\(582\) | −34.0704 | + | 11.0702i | −1.41226 | + | 0.458873i | ||||
\(583\) | 13.7117 | + | 2.61565i | 0.567882 | + | 0.108329i | ||||
\(584\) | 2.95980 | + | 47.0446i | 0.122477 | + | 1.94672i | ||||
\(585\) | 27.3101 | + | 14.0599i | 1.12913 | + | 0.581305i | ||||
\(586\) | −20.7217 | − | 32.6521i | −0.856004 | − | 1.34885i | ||||
\(587\) | 24.2725 | − | 1.52709i | 1.00183 | − | 0.0630299i | 0.446607 | − | 0.894730i | \(-0.352632\pi\) |
0.555225 | + | 0.831700i | \(0.312632\pi\) | |||||||
\(588\) | 29.1674 | + | 18.5102i | 1.20284 | + | 0.763347i | ||||
\(589\) | 0.689844 | − | 0.833878i | 0.0284245 | − | 0.0343593i | ||||
\(590\) | −10.6851 | + | 36.2103i | −0.439898 | + | 1.49075i | ||||
\(591\) | −57.9410 | − | 14.8767i | −2.38337 | − | 0.611946i | ||||
\(592\) | −2.36843 | + | 1.11450i | −0.0973418 | + | 0.0458056i | ||||
\(593\) | 37.0688 | + | 12.0444i | 1.52223 | + | 0.494604i | 0.946409 | − | 0.322969i | \(-0.104681\pi\) |
0.575825 | + | 0.817573i | \(0.304681\pi\) | |||||||
\(594\) | 20.2064 | + | 11.1086i | 0.829080 | + | 0.455790i | ||||
\(595\) | −20.8632 | − | 21.0390i | −0.855306 | − | 0.862516i | ||||
\(596\) | −49.7653 | − | 6.28683i | −2.03847 | − | 0.257518i | ||||
\(597\) | 0.0244588 | − | 0.193611i | 0.00100103 | − | 0.00792397i | ||||
\(598\) | −29.0796 | + | 18.4545i | −1.18915 | + | 0.754660i | ||||
\(599\) | 1.89604 | − | 1.37756i | 0.0774703 | − | 0.0562855i | −0.548376 | − | 0.836232i | \(-0.684754\pi\) |
0.625846 | + | 0.779946i | \(0.284754\pi\) | |||||||
\(600\) | 105.028 | − | 5.72313i | 4.28777 | − | 0.233646i | ||||
\(601\) | −10.9984 | − | 7.99079i | −0.448633 | − | 0.325951i | 0.340423 | − | 0.940272i | \(-0.389430\pi\) |
−0.789056 | + | 0.614321i | \(0.789430\pi\) | |||||||
\(602\) | −52.0025 | − | 3.27172i | −2.11946 | − | 0.133345i | ||||
\(603\) | −9.54106 | − | 17.3551i | −0.388542 | − | 0.706755i | ||||
\(604\) | −17.7256 | + | 37.6688i | −0.721244 | + | 1.53272i | ||||
\(605\) | −12.9332 | + | 14.5463i | −0.525809 | + | 0.591391i | ||||
\(606\) | −2.21493 | + | 11.6110i | −0.0899752 | + | 0.471667i | ||||
\(607\) | 19.6071 | + | 26.9868i | 0.795827 | + | 1.09536i | 0.993358 | + | 0.115065i | \(0.0367077\pi\) |
−0.197531 | + | 0.980297i | \(0.563292\pi\) | |||||||
\(608\) | −2.98744 | + | 5.43413i | −0.121157 | + | 0.220383i | ||||
\(609\) | 21.4101 | − | 33.7370i | 0.867583 | − | 1.36709i | ||||
\(610\) | 60.9400 | − | 35.6954i | 2.46739 | − | 1.44526i | ||||
\(611\) | 2.36253 | + | 0.935392i | 0.0955777 | + | 0.0378419i | ||||
\(612\) | −56.2810 | − | 142.150i | −2.27503 | − | 5.74606i | ||||
\(613\) | −0.218964 | + | 0.181143i | −0.00884388 | + | 0.00731630i | −0.641835 | − | 0.766842i | \(-0.721827\pi\) |
0.632992 | + | 0.774159i | \(0.281827\pi\) | |||||||
\(614\) | 45.3950 | − | 11.6555i | 1.83199 | − | 0.470376i | ||||
\(615\) | −4.57682 | − | 6.79577i | −0.184555 | − | 0.274032i | ||||
\(616\) | −22.1100 | + | 8.75399i | −0.890839 | + | 0.352708i | ||||
\(617\) | −23.5949 | − | 25.1260i | −0.949895 | − | 1.01154i | −0.999918 | − | 0.0127870i | \(-0.995930\pi\) |
0.0500236 | − | 0.998748i | \(-0.484070\pi\) | |||||||
\(618\) | −8.13642 | + | 11.1988i | −0.327295 | + | 0.450483i | ||||
\(619\) | −11.2284 | − | 23.8616i | −0.451308 | − | 0.959079i | −0.992957 | − | 0.118474i | \(-0.962200\pi\) |
0.541649 | − | 0.840605i | \(-0.317800\pi\) | |||||||
\(620\) | 18.7861 | − | 6.67447i | 0.754467 | − | 0.268053i | ||||
\(621\) | −24.7119 | + | 13.5855i | −0.991655 | + | 0.545167i | ||||
\(622\) | 25.1642 | − | 4.80033i | 1.00899 | − | 0.192476i | ||||
\(623\) | −6.73718 | − | 26.2396i | −0.269919 | − | 1.05127i | ||||
\(624\) | −74.9410 | −3.00004 | ||||||||
\(625\) | 5.09614 | − | 24.4751i | 0.203846 | − | 0.979003i | ||||
\(626\) | −18.9754 | −0.758411 | ||||||||
\(627\) | 0.627519 | + | 2.44403i | 0.0250607 | + | 0.0976050i | ||||
\(628\) | −75.0022 | + | 14.3074i | −2.99292 | + | 0.570929i | ||||
\(629\) | 1.47816 | − | 0.812628i | 0.0589383 | − | 0.0324016i | ||||
\(630\) | −58.9171 | + | 20.9325i | −2.34731 | + | 0.833972i | ||||
\(631\) | −14.4360 | − | 30.6781i | −0.574689 | − | 1.22128i | −0.955052 | − | 0.296440i | \(-0.904201\pi\) |
0.380362 | − | 0.924838i | \(-0.375799\pi\) | |||||||
\(632\) | −0.703081 | + | 0.967708i | −0.0279671 | + | 0.0384934i | ||||
\(633\) | 50.3379 | + | 53.6045i | 2.00075 | + | 2.13059i | ||||
\(634\) | −15.3413 | + | 6.07405i | −0.609281 | + | 0.241231i | ||||
\(635\) | −4.44354 | − | 6.59787i | −0.176336 | − | 0.261828i | ||||
\(636\) | −122.453 | + | 31.4405i | −4.85556 | + | 1.24670i | ||||
\(637\) | −5.27518 | + | 4.36400i | −0.209010 | + | 0.172908i | ||||
\(638\) | −9.69845 | − | 24.4955i | −0.383965 | − | 0.969785i | ||||
\(639\) | 66.0457 | + | 26.1493i | 2.61273 | + | 1.03445i | ||||
\(640\) | −0.584356 | + | 0.342285i | −0.0230987 | + | 0.0135300i | ||||
\(641\) | 22.4086 | − | 35.3103i | 0.885087 | − | 1.39467i | −0.0334938 | − | 0.999439i | \(-0.510663\pi\) |
0.918580 | − | 0.395234i | \(-0.129337\pi\) | |||||||
\(642\) | −20.1153 | + | 36.5895i | −0.793887 | + | 1.44407i | ||||
\(643\) | 19.2326 | + | 26.4714i | 0.758460 | + | 1.04393i | 0.997341 | + | 0.0728815i | \(0.0232195\pi\) |
−0.238881 | + | 0.971049i | \(0.576781\pi\) | |||||||
\(644\) | 9.29303 | − | 48.7158i | 0.366197 | − | 1.91967i | ||||
\(645\) | −39.6853 | + | 44.6350i | −1.56261 | + | 1.75750i | ||||
\(646\) | 4.08952 | − | 8.69068i | 0.160900 | − | 0.341930i | ||||
\(647\) | −4.13612 | − | 7.52358i | −0.162608 | − | 0.295782i | 0.782433 | − | 0.622735i | \(-0.213978\pi\) |
−0.945041 | + | 0.326952i | \(0.893978\pi\) | |||||||
\(648\) | −10.0900 | − | 0.634807i | −0.396371 | − | 0.0249376i | ||||
\(649\) | −7.91519 | − | 5.75072i | −0.310698 | − | 0.225736i | ||||
\(650\) | −9.12934 | + | 34.3565i | −0.358082 | + | 1.34757i | ||||
\(651\) | −8.96112 | + | 6.51064i | −0.351214 | + | 0.255172i | ||||
\(652\) | −62.7976 | + | 39.8525i | −2.45934 | + | 1.56075i | ||||
\(653\) | −6.01723 | + | 47.6313i | −0.235472 | + | 1.86396i | 0.222423 | + | 0.974950i | \(0.428603\pi\) |
−0.457896 | + | 0.889006i | \(0.651397\pi\) | |||||||
\(654\) | −132.957 | − | 16.7964i | −5.19903 | − | 0.656790i | ||||
\(655\) | 18.1269 | + | 18.2797i | 0.708277 | + | 0.714248i | ||||
\(656\) | 10.9901 | + | 6.04188i | 0.429093 | + | 0.235896i | ||||
\(657\) | −30.5464 | − | 9.92512i | −1.19173 | − | 0.387216i | ||||
\(658\) | −4.67997 | + | 2.20223i | −0.182444 | + | 0.0858517i | ||||
\(659\) | −30.1718 | − | 7.74680i | −1.17533 | − | 0.301773i | −0.389977 | − | 0.920825i | \(-0.627517\pi\) |
−0.785350 | + | 0.619052i | \(0.787517\pi\) | |||||||
\(660\) | −13.1556 | + | 44.5827i | −0.512083 | + | 1.73538i | ||||
\(661\) | −6.88953 | + | 8.32801i | −0.267972 | + | 0.323922i | −0.887285 | − | 0.461222i | \(-0.847411\pi\) |
0.619313 | + | 0.785144i | \(0.287411\pi\) | |||||||
\(662\) | −63.4172 | − | 40.2458i | −2.46478 | − | 1.56420i | ||||
\(663\) | 48.1985 | − | 3.03240i | 1.87188 | − | 0.117768i | ||||
\(664\) | 12.8192 | + | 20.1998i | 0.497481 | + | 0.783905i | ||||
\(665\) | −2.47057 | − | 1.27191i | −0.0958047 | − | 0.0493226i | ||||
\(666\) | −0.223507 | − | 3.55253i | −0.00866070 | − | 0.137658i | ||||
\(667\) | 31.6492 | + | 6.03741i | 1.22546 | + | 0.233769i | ||||
\(668\) | 23.4707 | − | 7.62609i | 0.908108 | − | 0.295062i | ||||
\(669\) | 42.1426 | − | 39.5746i | 1.62933 | − | 1.53004i | ||||
\(670\) | 17.2562 | − | 15.0852i | 0.666666 | − | 0.582790i | ||||
\(671\) | 3.42945 | + | 17.9778i | 0.132393 | + | 0.694026i | ||||
\(672\) | 43.4470 | − | 46.2664i | 1.67600 | − | 1.78476i | ||||
\(673\) | 2.37890 | − | 6.00841i | 0.0916997 | − | 0.231607i | −0.876687 | − | 0.481062i | \(-0.840251\pi\) |
0.968386 | + | 0.249455i | \(0.0802513\pi\) | |||||||
\(674\) | 8.97966 | + | 27.6365i | 0.345884 | + | 1.06452i | ||||
\(675\) | −9.22661 | + | 27.6059i | −0.355132 | + | 1.06255i | ||||
\(676\) | −8.37575 | + | 25.7779i | −0.322144 | + | 0.991458i | ||||
\(677\) | 3.21881 | + | 2.66283i | 0.123709 | + | 0.102341i | 0.697221 | − | 0.716856i | \(-0.254419\pi\) |
−0.573512 | + | 0.819197i | \(0.694419\pi\) | |||||||
\(678\) | 32.3134 | + | 15.2055i | 1.24099 | + | 0.583964i | ||||
\(679\) | 7.45253 | + | 6.99839i | 0.286002 | + | 0.268574i | ||||
\(680\) | 86.0584 | − | 57.9587i | 3.30019 | − | 2.22262i | ||||
\(681\) | 58.3801 | − | 7.37512i | 2.23713 | − | 0.282615i | ||||
\(682\) | 7.30326i | 0.279656i | ||||||||
\(683\) | −1.27779 | − | 10.1148i | −0.0488933 | − | 0.387030i | −0.997505 | − | 0.0705892i | \(-0.977512\pi\) |
0.948612 | − | 0.316441i | \(-0.102488\pi\) | |||||||
\(684\) | −9.13946 | − | 11.0477i | −0.349456 | − | 0.422420i | ||||
\(685\) | −13.6001 | + | 22.7778i | −0.519633 | + | 0.870295i | ||||
\(686\) | 3.30801 | − | 52.5793i | 0.126300 | − | 2.00749i | ||||
\(687\) | −1.92492 | + | 7.49707i | −0.0734403 | + | 0.286031i | ||||
\(688\) | 22.7359 | − | 88.5504i | 0.866797 | − | 3.37595i | ||||
\(689\) | 1.57324 | − | 25.0060i | 0.0599358 | − | 0.952652i | ||||
\(690\) | −52.8893 | − | 60.5012i | −2.01346 | − | 2.30324i | ||||
\(691\) | −22.0360 | − | 26.6370i | −0.838290 | − | 1.01332i | −0.999651 | − | 0.0264230i | \(-0.991588\pi\) |
0.161361 | − | 0.986895i | \(-0.448412\pi\) | |||||||
\(692\) | 11.3140 | + | 89.5598i | 0.430095 | + | 3.40455i | ||||
\(693\) | − | 16.2031i | − | 0.615503i | ||||||
\(694\) | 45.1445 | − | 5.70307i | 1.71366 | − | 0.216486i | ||||
\(695\) | 13.7660 | + | 0.490459i | 0.522175 | + | 0.0186042i | ||||
\(696\) | 101.998 | + | 95.7823i | 3.86622 | + | 3.63062i | ||||
\(697\) | −7.31282 | − | 3.44115i | −0.276993 | − | 0.130343i | ||||
\(698\) | 16.9371 | + | 14.0116i | 0.641079 | + | 0.530347i | ||||
\(699\) | −22.4896 | + | 69.2160i | −0.850637 | + | 2.61799i | ||||
\(700\) | −27.0647 | − | 43.4491i | −1.02295 | − | 1.64222i | ||||
\(701\) | 7.25228 | + | 22.3202i | 0.273915 | + | 0.843024i | 0.989504 | + | 0.144503i | \(0.0461582\pi\) |
−0.715589 | + | 0.698521i | \(0.753842\pi\) | |||||||
\(702\) | 15.2362 | − | 38.4822i | 0.575053 | − | 1.45242i | ||||
\(703\) | 0.108292 | − | 0.115319i | 0.00408430 | − | 0.00434934i | ||||
\(704\) | −2.32716 | − | 12.1994i | −0.0877082 | − | 0.459783i | ||||
\(705\) | −1.31758 | + | 5.78044i | −0.0496229 | + | 0.217704i | ||||
\(706\) | 16.8569 | − | 15.8297i | 0.634419 | − | 0.595759i | ||||
\(707\) | 3.20821 | − | 1.04241i | 0.120657 | − | 0.0392039i | ||||
\(708\) | 87.0402 | + | 16.6038i | 3.27117 | + | 0.624009i | ||||
\(709\) | 1.30770 | + | 20.7853i | 0.0491117 | + | 0.780608i | 0.943098 | + | 0.332514i | \(0.107897\pi\) |
−0.893986 | + | 0.448094i | \(0.852103\pi\) | |||||||
\(710\) | −13.2009 | + | 81.1412i | −0.495419 | + | 3.04518i | ||||
\(711\) | −0.436714 | − | 0.688151i | −0.0163781 | − | 0.0258077i | ||||
\(712\) | 94.6780 | − | 5.95663i | 3.54821 | − | 0.223234i | ||||
\(713\) | −7.54128 | − | 4.78584i | −0.282423 | − | 0.179231i | ||||
\(714\) | −62.6612 | + | 75.7444i | −2.34504 | + | 2.83466i | ||||
\(715\) | −7.59748 | − | 5.20999i | −0.284130 | − | 0.194843i | ||||
\(716\) | −9.46412 | − | 2.42997i | −0.353691 | − | 0.0908123i | ||||
\(717\) | −19.3853 | + | 9.12203i | −0.723958 | + | 0.340669i | ||||
\(718\) | −64.4502 | − | 20.9411i | −2.40526 | − | 0.781516i | ||||
\(719\) | −42.3226 | − | 23.2671i | −1.57837 | − | 0.867715i | −0.998598 | − | 0.0529355i | \(-0.983142\pi\) |
−0.579770 | − | 0.814780i | \(-0.696858\pi\) | |||||||
\(720\) | −16.7067 | − | 108.425i | −0.622622 | − | 4.04077i | ||||
\(721\) | 3.91923 | + | 0.495113i | 0.145960 | + | 0.0184390i | ||||
\(722\) | −6.11311 | + | 48.3902i | −0.227506 | + | 1.80090i | ||||
\(723\) | −17.1490 | + | 10.8831i | −0.637778 | + | 0.404746i | ||||
\(724\) | 62.4100 | − | 45.3435i | 2.31945 | − | 1.68518i | ||||
\(725\) | 28.2276 | − | 17.5832i | 1.04835 | − | 0.653022i | ||||
\(726\) | 52.2448 | + | 37.9581i | 1.93899 | + | 1.40876i | ||||
\(727\) | 28.3628 | + | 1.78443i | 1.05192 | + | 0.0661810i | 0.579322 | − | 0.815099i | \(-0.303317\pi\) |
0.472595 | + | 0.881280i | \(0.343317\pi\) | |||||||
\(728\) | 20.5629 | + | 37.4037i | 0.762111 | + | 1.38628i | ||||
\(729\) | −18.1665 | + | 38.6058i | −0.672834 | + | 1.42984i | ||||
\(730\) | 3.65337 | − | 36.9908i | 0.135217 | − | 1.36909i | ||||
\(731\) | −11.0396 | + | 57.8714i | −0.408313 | + | 2.14045i | ||||
\(732\) | −97.4304 | − | 134.102i | −3.60113 | − | 4.95653i | ||||
\(733\) | −4.24959 | + | 7.72997i | −0.156962 | + | 0.285513i | −0.943081 | − | 0.332562i | \(-0.892087\pi\) |
0.786119 | + | 0.618075i | \(0.212087\pi\) | |||||||
\(734\) | 0.239428 | − | 0.377278i | 0.00883744 | − | 0.0139256i | ||||
\(735\) | −11.9379 | − | 10.6141i | −0.440337 | − | 0.391507i | ||||
\(736\) | 47.5844 | + | 18.8400i | 1.75398 | + | 0.694451i | ||||
\(737\) | 2.18654 | + | 5.52256i | 0.0805421 | + | 0.203426i | ||||
\(738\) | −13.1410 | + | 10.8712i | −0.483727 | + | 0.400174i | ||||
\(739\) | −17.6013 | + | 4.51926i | −0.647476 | + | 0.166244i | −0.558125 | − | 0.829757i | \(-0.688479\pi\) |
−0.0893506 | + | 0.996000i | \(0.528479\pi\) | |||||||
\(740\) | 2.80187 | − | 0.801282i | 0.102999 | − | 0.0294557i | ||||
\(741\) | 4.21110 | − | 1.66729i | 0.154699 | − | 0.0612495i | ||||
\(742\) | 34.9127 | + | 37.1783i | 1.28169 | + | 1.36486i | ||||
\(743\) | −1.81192 | + | 2.49389i | −0.0664729 | + | 0.0914921i | −0.840959 | − | 0.541099i | \(-0.818009\pi\) |
0.774486 | + | 0.632591i | \(0.218009\pi\) | |||||||
\(744\) | −16.5149 | − | 35.0960i | −0.605466 | − | 1.28668i | ||||
\(745\) | 22.2468 | + | 6.56466i | 0.815058 | + | 0.240511i | ||||
\(746\) | 61.3815 | − | 33.7448i | 2.24734 | − | 1.23548i | ||||
\(747\) | −16.0126 | + | 3.05456i | −0.585869 | + | 0.111760i | ||||
\(748\) | 11.4029 | + | 44.4114i | 0.416932 | + | 1.62384i | ||||
\(749\) | 11.9158 | 0.435395 | ||||||||
\(750\) | −82.4710 | − | 8.84485i | −3.01142 | − | 0.322968i | ||||
\(751\) | −9.96758 | −0.363722 | −0.181861 | − | 0.983324i | \(-0.558212\pi\) | ||||
−0.181861 | + | 0.983324i | \(0.558212\pi\) | |||||||
\(752\) | −2.25687 | − | 8.78993i | −0.0822996 | − | 0.320536i | ||||
\(753\) | 21.8776 | − | 4.17337i | 0.797263 | − | 0.152086i | ||||
\(754\) | −41.4392 | + | 22.7814i | −1.50913 | + | 0.829649i | ||||
\(755\) | 10.8873 | − | 15.8764i | 0.396228 | − | 0.577800i | ||||
\(756\) | 25.3758 | + | 53.9263i | 0.922908 | + | 1.96128i | ||||
\(757\) | −8.50383 | + | 11.7045i | −0.309077 | + | 0.425408i | −0.935093 | − | 0.354402i | \(-0.884684\pi\) |
0.626016 | + | 0.779810i | \(0.284684\pi\) | |||||||
\(758\) | −24.8994 | − | 26.5152i | −0.904387 | − | 0.963074i | ||||
\(759\) | 19.3624 | − | 7.66611i | 0.702810 | − | 0.278262i | ||||
\(760\) | 5.99614 | − | 7.66354i | 0.217503 | − | 0.277986i | ||||
\(761\) | 14.1030 | − | 3.62103i | 0.511233 | − | 0.131262i | 0.0157434 | − | 0.999876i | \(-0.494989\pi\) |
0.495490 | + | 0.868614i | \(0.334989\pi\) | |||||||
\(762\) | −20.3352 | + | 16.8227i | −0.736665 | + | 0.609422i | ||||
\(763\) | 14.0789 | + | 35.5592i | 0.509690 | + | 1.28733i | ||||
\(764\) | 83.6805 | + | 33.1315i | 3.02745 | + | 1.19865i | ||||
\(765\) | 15.1323 | + | 69.0581i | 0.547108 | + | 2.49680i | ||||
\(766\) | 23.3677 | − | 36.8216i | 0.844309 | − | 1.33042i | ||||
\(767\) | −8.46012 | + | 15.3889i | −0.305477 | + | 0.555661i | ||||
\(768\) | −26.0240 | − | 35.8190i | −0.939060 | − | 1.29251i | ||||
\(769\) | 6.62404 | − | 34.7244i | 0.238869 | − | 1.25219i | −0.637461 | − | 0.770483i | \(-0.720015\pi\) |
0.876330 | − | 0.481712i | \(-0.159985\pi\) | |||||||
\(770\) | 18.3173 | − | 4.01375i | 0.660109 | − | 0.144646i | ||||
\(771\) | 21.2080 | − | 45.0693i | 0.763788 | − | 1.62313i | ||||
\(772\) | −18.2168 | − | 33.1363i | −0.655638 | − | 1.19260i | ||||
\(773\) | −52.3982 | − | 3.29661i | −1.88463 | − | 0.118571i | −0.921630 | − | 0.388069i | \(-0.873142\pi\) |
−0.963001 | + | 0.269498i | \(0.913142\pi\) | |||||||
\(774\) | 100.580 | + | 73.0758i | 3.61528 | + | 2.62666i | ||||
\(775\) | −9.06982 | + | 1.65138i | −0.325798 | + | 0.0593193i | ||||
\(776\) | −28.9627 | + | 21.0427i | −1.03970 | + | 0.755387i | ||||
\(777\) | −1.36705 | + | 0.867558i | −0.0490427 | + | 0.0311235i | ||||
\(778\) | 4.94168 | − | 39.1175i | 0.177168 | − | 1.40243i | ||||
\(779\) | −0.751980 | − | 0.0949971i | −0.0269425 | − | 0.00340363i | ||||
\(780\) | 82.3514 | + | 13.3977i | 2.94865 | + | 0.479716i | ||||
\(781\) | −18.6686 | − | 10.2632i | −0.668016 | − | 0.367245i | ||||
\(782\) | −75.3887 | − | 24.4953i | −2.69589 | − | 0.875949i | ||||
\(783\) | −35.0343 | + | 16.4859i | −1.25202 | + | 0.589158i | ||||
\(784\) | 23.6834 | + | 6.08086i | 0.845835 | + | 0.217173i | ||||
\(785\) | 35.2944 | − | 0.960905i | 1.25971 | − | 0.0342962i | ||||
\(786\) | 54.4431 | − | 65.8104i | 1.94192 | − | 2.34738i | ||||
\(787\) | −4.08834 | − | 2.59454i | −0.145733 | − | 0.0924852i | 0.460961 | − | 0.887420i | \(-0.347505\pi\) |
−0.606694 | + | 0.794935i | \(0.707505\pi\) | |||||||
\(788\) | −101.743 | + | 6.40113i | −3.62444 | + | 0.228031i | ||||
\(789\) | −36.1915 | − | 57.0287i | −1.28845 | − | 2.03027i | ||||
\(790\) | 0.669763 | − | 0.664164i | 0.0238291 | − | 0.0236299i | ||||
\(791\) | −0.639933 | − | 10.1714i | −0.0227534 | − | 0.361655i | ||||
\(792\) | 55.7343 | + | 10.6319i | 1.98043 | + | 0.377787i | ||||
\(793\) | 31.2430 | − | 10.1515i | 1.10947 | − | 0.360489i | ||||
\(794\) | −13.8019 | + | 12.9609i | −0.489811 | + | 0.459964i | ||||
\(795\) | 58.2236 | − | 5.25728i | 2.06498 | − | 0.186457i | ||||
\(796\) | −0.0623172 | − | 0.326678i | −0.00220878 | − | 0.0115788i | ||||
\(797\) | 4.71767 | − | 5.02381i | 0.167108 | − | 0.177952i | −0.639964 | − | 0.768405i | \(-0.721051\pi\) |
0.807072 | + | 0.590453i | \(0.201051\pi\) | |||||||
\(798\) | −3.39383 | + | 8.57184i | −0.120140 | + | 0.303440i | ||||
\(799\) | 1.80719 | + | 5.56195i | 0.0639337 | + | 0.196768i | ||||
\(800\) | 49.2762 | − | 19.0329i | 1.74218 | − | 0.672914i | ||||
\(801\) | −19.9745 | + | 61.4751i | −0.705763 | + | 2.17211i | ||||
\(802\) | −9.93603 | − | 8.21980i | −0.350853 | − | 0.290251i | ||||
\(803\) | 8.71584 | + | 4.10136i | 0.307575 | + | 0.144734i | ||||
\(804\) | −39.2146 | − | 36.8250i | −1.38299 | − | 1.29872i | ||||
\(805\) | −7.85880 | + | 21.5445i | −0.276986 | + | 0.759343i | ||||
\(806\) | 13.0055 | − | 1.64298i | 0.458099 | − | 0.0578713i | ||||
\(807\) | − | 72.9098i | − | 2.56655i | ||||||
\(808\) | 1.48051 | + | 11.7194i | 0.0520840 | + | 0.412287i | ||||
\(809\) | −12.4141 | − | 15.0060i | −0.436455 | − | 0.527584i | 0.505723 | − | 0.862696i | \(-0.331226\pi\) |
−0.942178 | + | 0.335112i | \(0.891226\pi\) | |||||||
\(810\) | 7.77290 | + | 1.77174i | 0.273112 | + | 0.0622524i | ||||
\(811\) | −1.82467 | + | 29.0023i | −0.0640728 | + | 1.01841i | 0.826316 | + | 0.563207i | \(0.190433\pi\) |
−0.890389 | + | 0.455201i | \(0.849567\pi\) | |||||||
\(812\) | 16.9343 | − | 65.9547i | 0.594277 | − | 2.31456i | ||||
\(813\) | 10.3074 | − | 40.1446i | 0.361496 | − | 1.40793i | ||||
\(814\) | −0.0670317 | + | 1.06544i | −0.00234946 | + | 0.0373436i | ||||
\(815\) | 31.6209 | − | 13.5263i | 1.10763 | − | 0.473805i | ||||
\(816\) | −109.944 | − | 132.899i | −3.84880 | − | 4.65240i | ||||
\(817\) | 0.692495 | + | 5.48167i | 0.0242273 | + | 0.191779i | ||||
\(818\) | 22.5280i | 0.787673i | ||||||||
\(819\) | −28.8541 | + | 3.64511i | −1.00824 | + | 0.127371i | ||||
\(820\) | −10.9967 | − | 8.60411i | −0.384023 | − | 0.300469i | ||||
\(821\) | 8.39308 | + | 7.88163i | 0.292921 | + | 0.275071i | 0.817049 | − | 0.576569i | \(-0.195609\pi\) |
−0.524128 | + | 0.851639i | \(0.675609\pi\) | |||||||
\(822\) | 79.6402 | + | 37.4758i | 2.77777 | + | 1.30712i | ||||
\(823\) | 26.3825 | + | 21.8255i | 0.919636 | + | 0.760789i | 0.971296 | − | 0.237875i | \(-0.0764510\pi\) |
−0.0516593 | + | 0.998665i | \(0.516451\pi\) | |||||||
\(824\) | −4.27472 | + | 13.1562i | −0.148917 | + | 0.458319i | ||||
\(825\) | 9.31485 | − | 19.3713i | 0.324301 | − | 0.674422i | ||||
\(826\) | −11.0462 | − | 33.9967i | −0.384346 | − | 1.18290i | ||||
\(827\) | 2.77158 | − | 7.00022i | 0.0963774 | − | 0.243422i | −0.873587 | − | 0.486668i | \(-0.838212\pi\) |
0.969965 | + | 0.243246i | \(0.0782123\pi\) | |||||||
\(828\) | −81.0041 | + | 86.2606i | −2.81509 | + | 2.99776i | ||||
\(829\) | −3.08217 | − | 16.1573i | −0.107048 | − | 0.561167i | −0.994885 | − | 0.101009i | \(-0.967793\pi\) |
0.887837 | − | 0.460158i | \(-0.152207\pi\) | |||||||
\(830\) | −7.41969 | − | 17.3453i | −0.257541 | − | 0.602063i | ||||
\(831\) | −4.99792 | + | 4.69336i | −0.173376 | + | 0.162811i | ||||
\(832\) | −21.2009 | + | 6.88860i | −0.735010 | + | 0.238819i | ||||
\(833\) | −15.4781 | − | 2.95260i | −0.536284 | − | 0.102302i | ||||
\(834\) | −2.86961 | − | 45.6112i | −0.0993665 | − | 1.57939i | ||||
\(835\) | −11.2786 | + | 1.73786i | −0.390312 | + | 0.0601411i | ||||
\(836\) | 2.30413 | + | 3.63073i | 0.0796900 | + | 0.125571i | ||||
\(837\) | 10.7122 | − | 0.673956i | 0.370269 | − | 0.0232953i | ||||
\(838\) | 46.1614 | + | 29.2949i | 1.59462 | + | 1.01198i | ||||
\(839\) | 0.0193183 | − | 0.0233519i | 0.000666943 | − | 0.000806195i | −0.770180 | − | 0.637827i | \(-0.779833\pi\) |
0.770847 | + | 0.637021i | \(0.219833\pi\) | |||||||
\(840\) | −78.9478 | + | 60.7091i | −2.72396 | + | 2.09466i | ||||
\(841\) | 14.7599 | + | 3.78971i | 0.508963 | + | 0.130679i | ||||
\(842\) | 42.7258 | − | 20.1052i | 1.47243 | − | 0.692872i | ||||
\(843\) | −41.8252 | − | 13.5898i | −1.44054 | − | 0.468059i | ||||
\(844\) | 109.815 | + | 60.3713i | 3.77999 | + | 2.07807i | ||||
\(845\) | 5.73691 | − | 11.1434i | 0.197356 | − | 0.383346i | ||||
\(846\) | 12.2437 | + | 1.54674i | 0.420946 | + | 0.0531779i | ||||
\(847\) | 2.30981 | − | 18.2840i | 0.0793659 | − | 0.628245i | ||||
\(848\) | −75.5549 | + | 47.9486i | −2.59457 | + | 1.64656i | ||||
\(849\) | −67.4058 | + | 48.9732i | −2.31336 | + | 1.68075i | ||||
\(850\) | −74.3205 | + | 34.2135i | −2.54917 | + | 1.17351i | ||||
\(851\) | −1.05624 | − | 0.767400i | −0.0362073 | − | 0.0263061i | ||||
\(852\) | 192.564 | + | 12.1151i | 6.59715 | + | 0.415057i | ||||
\(853\) | −3.34723 | − | 6.08859i | −0.114607 | − | 0.208469i | 0.812782 | − | 0.582568i | \(-0.197952\pi\) |
−0.927389 | + | 0.374099i | \(0.877952\pi\) | |||||||
\(854\) | −28.4715 | + | 60.5049i | −0.974273 | + | 2.07044i | ||||
\(855\) | 3.35104 | + | 5.72096i | 0.114603 | + | 0.195653i | ||||
\(856\) | −7.81876 | + | 40.9874i | −0.267240 | + | 1.40092i | ||||
\(857\) | 9.97123 | + | 13.7242i | 0.340611 | + | 0.468811i | 0.944620 | − | 0.328167i | \(-0.106431\pi\) |
−0.604009 | + | 0.796978i | \(0.706431\pi\) | |||||||
\(858\) | −14.7244 | + | 26.7835i | −0.502681 | + | 0.914374i | ||||
\(859\) | −24.2074 | + | 38.1447i | −0.825945 | + | 1.30148i | 0.125011 | + | 0.992155i | \(0.460103\pi\) |
−0.950956 | + | 0.309326i | \(0.899897\pi\) | |||||||
\(860\) | −40.8149 | + | 93.2419i | −1.39178 | + | 3.17952i | ||||
\(861\) | 7.21282 | + | 2.85576i | 0.245812 | + | 0.0973240i | ||||
\(862\) | 27.0418 | + | 68.2998i | 0.921047 | + | 2.32630i | ||||
\(863\) | 26.2689 | − | 21.7315i | 0.894204 | − | 0.739749i | −0.0720341 | − | 0.997402i | \(-0.522949\pi\) |
0.966238 | + | 0.257653i | \(0.0829490\pi\) | |||||||
\(864\) | −59.5698 | + | 15.2949i | −2.02661 | + | 0.520344i | ||||
\(865\) | 1.48628 | − | 41.7164i | 0.0505351 | − | 1.41840i | ||||
\(866\) | −12.7717 | + | 5.05667i | −0.434000 | + | 0.171833i | ||||
\(867\) | 43.0670 | + | 45.8617i | 1.46263 | + | 1.55754i | ||||
\(868\) | −11.0952 | + | 15.2713i | −0.376597 | + | 0.518342i | ||||
\(869\) | 0.104075 | + | 0.221171i | 0.00353051 | + | 0.00750272i | ||||
\(870\) | −67.2590 | − | 87.4654i | −2.28029 | − | 2.96535i | ||||
\(871\) | 9.34256 | − | 5.13612i | 0.316561 | − | 0.174031i | ||||
\(872\) | −131.552 | + | 25.0950i | −4.45493 | + | 0.849822i | ||||
\(873\) | −6.06633 | − | 23.6268i | −0.205314 | − | 0.799646i | ||||
\(874\) | −7.43404 | −0.251460 | ||||||||
\(875\) | 9.12644 | + | 21.8404i | 0.308530 | + | 0.738341i | ||||
\(876\) | −87.2411 | −2.94760 | ||||||||
\(877\) | −0.00573073 | − | 0.0223197i | −0.000193513 | − | 0.000753684i | 0.968486 | − | 0.249067i | \(-0.0801238\pi\) |
−0.968680 | + | 0.248313i | \(0.920124\pi\) | |||||||
\(878\) | −20.0186 | + | 3.81876i | −0.675596 | + | 0.128877i | ||||
\(879\) | 36.7796 | − | 20.2198i | 1.24055 | − | 0.681996i | ||||
\(880\) | 0.895426 | + | 32.8894i | 0.0301848 | + | 1.10870i | ||||
\(881\) | −15.0639 | − | 32.0125i | −0.507516 | − | 1.07853i | −0.980330 | − | 0.197365i | \(-0.936762\pi\) |
0.472814 | − | 0.881162i | \(-0.343238\pi\) | |||||||
\(882\) | −19.5446 | + | 26.9008i | −0.658101 | + | 0.905799i | ||||
\(883\) | −25.7246 | − | 27.3939i | −0.865701 | − | 0.921878i | 0.131889 | − | 0.991265i | \(-0.457896\pi\) |
−0.997590 | + | 0.0693865i | \(0.977896\pi\) | |||||||
\(884\) | 76.5216 | − | 30.2970i | 2.57370 | − | 1.01900i | ||||
\(885\) | −38.4934 | − | 14.0413i | −1.29394 | − | 0.471992i | ||||
\(886\) | −2.97109 | + | 0.762847i | −0.0998158 | + | 0.0256283i | ||||
\(887\) | −26.6611 | + | 22.0560i | −0.895194 | + | 0.740569i | −0.966441 | − | 0.256890i | \(-0.917302\pi\) |
0.0712469 | + | 0.997459i | \(0.477302\pi\) | |||||||
\(888\) | −2.08716 | − | 5.27156i | −0.0700405 | − | 0.176902i | ||||
\(889\) | 7.00277 | + | 2.77259i | 0.234865 | + | 0.0929898i | ||||
\(890\) | −74.4445 | − | 7.35246i | −2.49539 | − | 0.246455i | ||||
\(891\) | −1.10700 | + | 1.74436i | −0.0370859 | + | 0.0584381i | ||||
\(892\) | 47.4626 | − | 86.3341i | 1.58916 | − | 2.89068i | ||||
\(893\) | 0.322377 | + | 0.443714i | 0.0107879 | + | 0.0148483i | ||||
\(894\) | 14.4201 | − | 75.5927i | 0.482279 | − | 2.52820i | ||||
\(895\) | 4.13912 | + | 1.81182i | 0.138355 | + | 0.0605624i | ||||
\(896\) | 0.273014 | − | 0.580184i | 0.00912076 | − | 0.0193826i | ||||
\(897\) | −18.0075 | − | 32.7555i | −0.601253 | − | 1.09367i | ||||
\(898\) | 88.5599 | + | 5.57172i | 2.95528 | + | 0.185931i | ||||
\(899\) | −9.92132 | − | 7.20826i | −0.330894 | − | 0.240409i | ||||
\(900\) | −1.02527 | + | 122.134i | −0.0341758 | + | 4.07112i | ||||
\(901\) | 46.6532 | − | 33.8955i | 1.55424 | − | 1.12922i | ||||
\(902\) | 4.31867 | − | 2.74071i | 0.143796 | − | 0.0912557i | ||||
\(903\) | 7.08760 | − | 56.1041i | 0.235861 | − | 1.86703i | ||||
\(904\) | 35.4070 | + | 4.47295i | 1.17762 | + | 0.148768i | ||||
\(905\) | −31.8517 | + | 16.0612i | −1.05879 | + | 0.533892i | ||||
\(906\) | −55.9691 | − | 30.7693i | −1.85945 | − | 1.02224i | ||||
\(907\) | −54.8771 | − | 17.8306i | −1.82216 | − | 0.592057i | −0.999731 | − | 0.0231944i | \(-0.992616\pi\) |
−0.822433 | − | 0.568862i | \(-0.807384\pi\) | |||||||
\(908\) | 90.7366 | − | 42.6974i | 3.01120 | − | 1.41696i | ||||
\(909\) | −7.79590 | − | 2.00165i | −0.258574 | − | 0.0663905i | ||||
\(910\) | −11.2683 | − | 31.7161i | −0.373542 | − | 1.05138i | ||||
\(911\) | −26.8642 | + | 32.4732i | −0.890050 | + | 1.07589i | 0.106616 | + | 0.994300i | \(0.465998\pi\) |
−0.996666 | + | 0.0815858i | \(0.974002\pi\) | |||||||
\(912\) | −13.6577 | − | 8.66744i | −0.452252 | − | 0.287008i | ||||
\(913\) | 4.87927 | − | 0.306977i | 0.161480 | − | 0.0101595i | ||||
\(914\) | 29.4601 | + | 46.4217i | 0.974455 | + | 1.53549i | ||||
\(915\) | 34.5110 | + | 68.4403i | 1.14090 | + | 2.26257i | ||||
\(916\) | 0.828252 | + | 13.1647i | 0.0273662 | + | 0.434973i | ||||
\(917\) | −23.9429 | − | 4.56735i | −0.790664 | − | 0.150827i | ||||
\(918\) | 90.5961 | − | 29.4365i | 2.99012 | − | 0.971548i | ||||
\(919\) | −4.60295 | + | 4.32245i | −0.151837 | + | 0.142585i | −0.756743 | − | 0.653712i | \(-0.773211\pi\) |
0.604906 | + | 0.796297i | \(0.293211\pi\) | |||||||
\(920\) | −68.9507 | − | 41.1689i | −2.27324 | − | 1.35730i | ||||
\(921\) | 9.53122 | + | 49.9644i | 0.314064 | + | 1.64638i | ||||
\(922\) | 17.4721 | − | 18.6059i | 0.575414 | − | 0.612754i | ||||
\(923\) | −14.0766 | + | 35.5535i | −0.463338 | + | 1.17026i | ||||
\(924\) | −13.6003 | − | 41.8573i | −0.447416 | − | 1.37700i | ||||
\(925\) | −1.33831 | + | 0.157666i | −0.0440034 | + | 0.00518403i | ||||
\(926\) | 14.8555 | − | 45.7205i | 0.488181 | − | 1.50247i | ||||
\(927\) | −7.26259 | − | 6.00813i | −0.238535 | − | 0.197333i | ||||
\(928\) | 63.5813 | + | 29.9191i | 2.08716 | + | 0.982142i | ||||
\(929\) | 40.1162 | + | 37.6716i | 1.31617 | + | 1.23596i | 0.952537 | + | 0.304421i | \(0.0984631\pi\) |
0.363631 | + | 0.931543i | \(0.381537\pi\) | |||||||
\(930\) | 8.40992 | + | 29.4073i | 0.275772 | + | 0.964303i | ||||
\(931\) | −1.46611 | + | 0.185212i | −0.0480497 | + | 0.00607009i | ||||
\(932\) | 124.026i | 4.06262i | ||||||||
\(933\) | 3.48467 | + | 27.5840i | 0.114083 | + | 0.903060i | ||||
\(934\) | 26.7478 | + | 32.3326i | 0.875216 | + | 1.05795i | ||||
\(935\) | −1.90672 | − | 21.1167i | −0.0623565 | − | 0.690589i | ||||
\(936\) | 6.39478 | − | 101.642i | 0.209020 | − | 3.32228i | ||||
\(937\) | 12.4339 | − | 48.4269i | 0.406198 | − | 1.58204i | −0.355867 | − | 0.934537i | \(-0.615814\pi\) |
0.762065 | − | 0.647500i | \(-0.224186\pi\) | |||||||
\(938\) | −5.39693 | + | 21.0196i | −0.176216 | + | 0.686316i | ||||
\(939\) | 1.29311 | − | 20.5534i | 0.0421991 | − | 0.670736i | ||||
\(940\) | 0.908599 | + | 10.0626i | 0.0296352 | + | 0.328205i | ||||
\(941\) | 18.2669 | + | 22.0809i | 0.595484 | + | 0.719817i | 0.979033 | − | 0.203704i | \(-0.0652980\pi\) |
−0.383548 | + | 0.923521i | \(0.625298\pi\) | |||||||
\(942\) | −14.6818 | − | 116.218i | −0.478357 | − | 3.78659i | ||||
\(943\) | 6.25541i | 0.203704i | ||||||||
\(944\) | 62.2248 | − | 7.86082i | 2.02524 | − | 0.255848i | ||||
\(945\) | −7.57761 | − | 26.4969i | −0.246500 | − | 0.861945i | ||||
\(946\) | −27.1803 | − | 25.5240i | −0.883707 | − | 0.829857i | ||||
\(947\) | −3.79240 | − | 1.78457i | −0.123236 | − | 0.0579907i | 0.363173 | − | 0.931722i | \(-0.381694\pi\) |
−0.486409 | + | 0.873731i | \(0.661694\pi\) | |||||||
\(948\) | −1.70577 | − | 1.41114i | −0.0554008 | − | 0.0458316i | ||||
\(949\) | 5.34286 | − | 16.4436i | 0.173437 | − | 0.533783i | ||||
\(950\) | −5.63735 | + | 5.20547i | −0.182900 | + | 0.168888i | ||||
\(951\) | −5.53371 | − | 17.0310i | −0.179443 | − | 0.552268i | ||||
\(952\) | −36.1640 | + | 91.3397i | −1.17208 | + | 2.96034i | ||||
\(953\) | −11.8514 | + | 12.6204i | −0.383904 | + | 0.408816i | −0.891675 | − | 0.452676i | \(-0.850469\pi\) |
0.507771 | + | 0.861492i | \(0.330469\pi\) | |||||||
\(954\) | −22.8023 | − | 119.534i | −0.738253 | − | 3.87006i | ||||
\(955\) | −35.7328 | − | 21.3352i | −1.15629 | − | 0.690392i | ||||
\(956\) | −26.6152 | + | 24.9933i | −0.860797 | + | 0.808342i | ||||
\(957\) | 27.1935 | − | 8.83569i | 0.879040 | − | 0.285617i | ||||
\(958\) | 39.5959 | + | 7.55332i | 1.27929 | + | 0.244037i | ||||
\(959\) | −1.57719 | − | 25.0688i | −0.0509302 | − | 0.809512i | ||||
\(960\) | −23.4185 | − | 46.4423i | −0.755830 | − | 1.49892i | ||||
\(961\) | −14.7891 | − | 23.3038i | −0.477067 | − | 0.751737i | ||||
\(962\) | 1.91239 | − | 0.120317i | 0.0616579 | − | 0.00387919i | ||||
\(963\) | −24.0054 | − | 15.2343i | −0.773563 | − | 0.490918i | ||||
\(964\) | −22.0633 | + | 26.6699i | −0.710610 | + | 0.858980i | ||||
\(965\) | 5.85391 | + | 16.4765i | 0.188444 | + | 0.530398i | ||||
\(966\) | 73.6960 | + | 18.9219i | 2.37113 | + | 0.608803i | ||||
\(967\) | −1.83221 | + | 0.862172i | −0.0589199 | + | 0.0277256i | −0.455013 | − | 0.890485i | \(-0.650366\pi\) |
0.396094 | + | 0.918210i | \(0.370366\pi\) | |||||||
\(968\) | 61.3765 | + | 19.9424i | 1.97272 | + | 0.640974i | ||||
\(969\) | 9.13471 | + | 5.02185i | 0.293449 | + | 0.161325i | ||||
\(970\) | 25.2070 | − | 12.7106i | 0.809347 | − | 0.408113i | ||||
\(971\) | 49.1515 | + | 6.20928i | 1.57735 | + | 0.199265i | 0.864711 | − | 0.502270i | \(-0.167502\pi\) |
0.712635 | + | 0.701535i | \(0.247502\pi\) | |||||||
\(972\) | −8.23932 | + | 65.2209i | −0.264276 | + | 2.09196i | ||||
\(973\) | −11.0119 | + | 6.98839i | −0.353027 | + | 0.224038i | ||||
\(974\) | −31.6364 | + | 22.9852i | −1.01369 | + | 0.736492i | ||||
\(975\) | −36.5915 | − | 12.2298i | −1.17186 | − | 0.391668i | ||||
\(976\) | −94.9192 | − | 68.9628i | −3.03829 | − | 2.20745i | ||||
\(977\) | 43.6152 | + | 2.74404i | 1.39537 | + | 0.0877895i | 0.742586 | − | 0.669751i | \(-0.233599\pi\) |
0.652788 | + | 0.757540i | \(0.273599\pi\) | |||||||
\(978\) | −54.9709 | − | 99.9917i | −1.75778 | − | 3.19738i | ||||
\(979\) | 8.25406 | − | 17.5408i | 0.263801 | − | 0.560605i | ||||
\(980\) | −24.9382 | − | 10.9162i | −0.796620 | − | 0.348705i | ||||
\(981\) | 17.0991 | − | 89.6364i | 0.545931 | − | 2.86187i | ||||
\(982\) | 14.6529 | + | 20.1679i | 0.467591 | + | 0.643584i | ||||
\(983\) | −9.93323 | + | 18.0685i | −0.316821 | + | 0.576295i | −0.985988 | − | 0.166817i | \(-0.946651\pi\) |
0.669167 | + | 0.743112i | \(0.266651\pi\) | |||||||
\(984\) | −14.5559 | + | 22.9364i | −0.464024 | + | 0.731185i | ||||
\(985\) | 46.9122 | + | 4.63325i | 1.49475 | + | 0.147628i | ||||
\(986\) | −101.194 | − | 40.0656i | −3.22268 | − | 1.27595i | ||||
\(987\) | −2.06644 | − | 5.21923i | −0.0657755 | − | 0.166130i | ||||
\(988\) | 5.94717 | − | 4.91993i | 0.189205 | − | 0.156524i | ||||
\(989\) | 44.1671 | − | 11.3402i | 1.40443 | − | 0.360597i | ||||
\(990\) | −42.0331 | − | 15.3325i | −1.33590 | − | 0.487297i | ||||
\(991\) | −36.4430 | + | 14.4288i | −1.15765 | + | 0.458346i | −0.866914 | − | 0.498458i | \(-0.833900\pi\) |
−0.290735 | + | 0.956804i | \(0.593900\pi\) | |||||||
\(992\) | −13.3345 | − | 14.1998i | −0.423370 | − | 0.450844i | ||||
\(993\) | 47.9143 | − | 65.9484i | 1.52052 | − | 2.09281i | ||||
\(994\) | −33.1411 | − | 70.4285i | −1.05117 | − | 2.23386i | ||||
\(995\) | 0.00418530 | + | 0.153728i | 0.000132683 | + | 0.00487350i | ||||
\(996\) | −38.8013 | + | 21.3312i | −1.22947 | + | 0.675904i | ||||
\(997\) | 52.3338 | − | 9.98320i | 1.65743 | − | 0.316171i | 0.728112 | − | 0.685458i | \(-0.240398\pi\) |
0.929315 | + | 0.369287i | \(0.120398\pi\) | |||||||
\(998\) | 4.05577 | + | 15.7962i | 0.128383 | + | 0.500020i | ||||
\(999\) | 1.56894 | 0.0496392 |
(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 | 125.2.h.a.104.12 | ✓ | 240 | |
5.2 | odd | 4 | 625.2.g.b.351.2 | 480 | |||
5.3 | odd | 4 | 625.2.g.b.351.23 | 480 | |||
5.4 | even | 2 | 625.2.h.a.274.1 | 240 | |||
125.6 | even | 25 | 625.2.h.a.349.1 | 240 | |||
125.33 | odd | 100 | 625.2.g.b.276.23 | 480 | |||
125.92 | odd | 100 | 625.2.g.b.276.2 | 480 | |||
125.119 | even | 50 | inner | 125.2.h.a.119.12 | yes | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
125.2.h.a.104.12 | ✓ | 240 | 1.1 | even | 1 | trivial | |
125.2.h.a.119.12 | yes | 240 | 125.119 | even | 50 | inner | |
625.2.g.b.276.2 | 480 | 125.92 | odd | 100 | |||
625.2.g.b.276.23 | 480 | 125.33 | odd | 100 | |||
625.2.g.b.351.2 | 480 | 5.2 | odd | 4 | |||
625.2.g.b.351.23 | 480 | 5.3 | odd | 4 | |||
625.2.h.a.274.1 | 240 | 5.4 | even | 2 | |||
625.2.h.a.349.1 | 240 | 125.6 | even | 25 |