Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [210,2,Mod(23,210)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(210, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 9, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("210.23");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 210 = 2 \cdot 3 \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 210.x (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: | \(1.67685844245\) |
Analytic rank: | \(0\) |
Dimension: | \(64\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 23.1 | ||
Character | \(\chi\) | \(=\) | 210.23 |
Dual form | 210.2.x.a.137.1 |
$q$-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 \(\left(\mathbb{Z}/210\mathbb{Z}\right)^\times\).
\(n\) | \(31\) | \(71\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(-1\) | \(e\left(\frac{3}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.965926 | + | 0.258819i | −0.683013 | + | 0.183013i | ||||
\(3\) | −1.64884 | − | 0.530415i | −0.951956 | − | 0.306235i | ||||
\(4\) | 0.866025 | − | 0.500000i | 0.433013 | − | 0.250000i | ||||
\(5\) | 0.680454 | − | 2.13002i | 0.304308 | − | 0.952574i | ||||
\(6\) | 1.72993 | + | 0.0855915i | 0.706243 | + | 0.0349426i | ||||
\(7\) | −2.36464 | + | 1.18680i | −0.893748 | + | 0.448569i | ||||
\(8\) | −0.707107 | + | 0.707107i | −0.250000 | + | 0.250000i | ||||
\(9\) | 2.43732 | + | 1.74913i | 0.812440 | + | 0.583045i | ||||
\(10\) | −0.105978 | + | 2.23356i | −0.0335133 | + | 0.706312i | ||||
\(11\) | −2.97095 | + | 1.71528i | −0.895774 | + | 0.517175i | −0.875827 | − | 0.482626i | \(-0.839683\pi\) |
−0.0199474 | + | 0.999801i | \(0.506350\pi\) | |||||||
\(12\) | −1.69314 | + | 0.365065i | −0.488768 | + | 0.105385i | ||||
\(13\) | −3.87719 | − | 3.87719i | −1.07534 | − | 1.07534i | −0.996921 | − | 0.0784181i | \(-0.975013\pi\) |
−0.0784181 | − | 0.996921i | \(-0.524987\pi\) | |||||||
\(14\) | 1.97690 | − | 1.75837i | 0.528348 | − | 0.469945i | ||||
\(15\) | −2.25175 | + | 3.15113i | −0.581400 | + | 0.813618i | ||||
\(16\) | 0.500000 | − | 0.866025i | 0.125000 | − | 0.216506i | ||||
\(17\) | −0.993622 | + | 3.70825i | −0.240989 | + | 0.899382i | 0.734369 | + | 0.678751i | \(0.237478\pi\) |
−0.975357 | + | 0.220631i | \(0.929188\pi\) | |||||||
\(18\) | −2.80698 | − | 1.05871i | −0.661611 | − | 0.249540i | ||||
\(19\) | −5.97063 | − | 3.44715i | −1.36976 | − | 0.790829i | −0.378860 | − | 0.925454i | \(-0.623684\pi\) |
−0.990897 | + | 0.134625i | \(0.957017\pi\) | |||||||
\(20\) | −0.475719 | − | 2.18488i | −0.106374 | − | 0.488554i | ||||
\(21\) | 4.52839 | − | 0.702601i | 0.988177 | − | 0.153320i | ||||
\(22\) | 2.42577 | − | 2.42577i | 0.517175 | − | 0.517175i | ||||
\(23\) | −0.298332 | − | 1.11339i | −0.0622065 | − | 0.232158i | 0.927822 | − | 0.373022i | \(-0.121678\pi\) |
−0.990029 | + | 0.140864i | \(0.955012\pi\) | |||||||
\(24\) | 1.54096 | − | 0.790843i | 0.314548 | − | 0.161430i | ||||
\(25\) | −4.07396 | − | 2.89876i | −0.814793 | − | 0.579752i | ||||
\(26\) | 4.74857 | + | 2.74159i | 0.931271 | + | 0.537669i | ||||
\(27\) | −3.09097 | − | 4.17683i | −0.594858 | − | 0.803831i | ||||
\(28\) | −1.45443 | + | 2.21012i | −0.274862 | + | 0.417673i | ||||
\(29\) | −2.35616 | −0.437528 | −0.218764 | − | 0.975778i | \(-0.570202\pi\) | ||||
−0.218764 | + | 0.975778i | \(0.570202\pi\) | |||||||
\(30\) | 1.35945 | − | 3.62655i | 0.248201 | − | 0.662115i | ||||
\(31\) | 3.58502 | + | 6.20943i | 0.643888 | + | 1.11525i | 0.984557 | + | 0.175063i | \(0.0560130\pi\) |
−0.340669 | + | 0.940183i | \(0.610654\pi\) | |||||||
\(32\) | −0.258819 | + | 0.965926i | −0.0457532 | + | 0.170753i | ||||
\(33\) | 5.80841 | − | 1.25238i | 1.01111 | − | 0.218011i | ||||
\(34\) | − | 3.83906i | − | 0.658393i | ||||||
\(35\) | 0.918883 | + | 5.84428i | 0.155320 | + | 0.987864i | ||||
\(36\) | 2.98535 | + | 0.296136i | 0.497558 | + | 0.0493559i | ||||
\(37\) | 1.28036 | + | 4.77836i | 0.210489 | + | 0.785557i | 0.987706 | + | 0.156324i | \(0.0499643\pi\) |
−0.777217 | + | 0.629233i | \(0.783369\pi\) | |||||||
\(38\) | 6.65937 | + | 1.78437i | 1.08029 | + | 0.289464i | ||||
\(39\) | 4.33633 | + | 8.44937i | 0.694368 | + | 1.35298i | ||||
\(40\) | 1.02500 | + | 1.98730i | 0.162066 | + | 0.314220i | ||||
\(41\) | − | 7.73718i | − | 1.20834i | −0.796854 | − | 0.604172i | \(-0.793504\pi\) | ||
0.796854 | − | 0.604172i | \(-0.206496\pi\) | |||||||
\(42\) | −4.19225 | + | 1.85070i | −0.646878 | + | 0.285568i | ||||
\(43\) | −0.576172 | − | 0.576172i | −0.0878654 | − | 0.0878654i | 0.661808 | − | 0.749673i | \(-0.269789\pi\) |
−0.749673 | + | 0.661808i | \(0.769789\pi\) | |||||||
\(44\) | −1.71528 | + | 2.97095i | −0.258588 | + | 0.447887i | ||||
\(45\) | 5.38418 | − | 4.00133i | 0.802625 | − | 0.596483i | ||||
\(46\) | 0.576333 | + | 0.998238i | 0.0849757 | + | 0.147182i | ||||
\(47\) | 8.51756 | − | 2.28227i | 1.24241 | − | 0.332904i | 0.423013 | − | 0.906124i | \(-0.360973\pi\) |
0.819402 | + | 0.573220i | \(0.194306\pi\) | |||||||
\(48\) | −1.28377 | + | 1.16273i | −0.185296 | + | 0.167825i | ||||
\(49\) | 4.18301 | − | 5.61270i | 0.597572 | − | 0.801815i | ||||
\(50\) | 4.68540 | + | 1.74557i | 0.662616 | + | 0.246861i | ||||
\(51\) | 3.60523 | − | 5.58726i | 0.504833 | − | 0.782372i | ||||
\(52\) | −5.29634 | − | 1.41915i | −0.734470 | − | 0.196801i | ||||
\(53\) | −0.921459 | − | 0.246904i | −0.126572 | − | 0.0339149i | 0.194977 | − | 0.980808i | \(-0.437537\pi\) |
−0.321549 | + | 0.946893i | \(0.604203\pi\) | |||||||
\(54\) | 4.06669 | + | 3.23450i | 0.553407 | + | 0.440160i | ||||
\(55\) | 1.63198 | + | 7.49534i | 0.220056 | + | 1.01067i | ||||
\(56\) | 0.832855 | − | 2.51125i | 0.111295 | − | 0.335579i | ||||
\(57\) | 8.01617 | + | 8.85069i | 1.06177 | + | 1.17230i | ||||
\(58\) | 2.27587 | − | 0.609819i | 0.298837 | − | 0.0800731i | ||||
\(59\) | −2.74415 | − | 4.75301i | −0.357258 | − | 0.618789i | 0.630244 | − | 0.776397i | \(-0.282955\pi\) |
−0.987502 | + | 0.157609i | \(0.949622\pi\) | |||||||
\(60\) | −0.374509 | + | 3.85483i | −0.0483489 | + | 0.497657i | ||||
\(61\) | 0.442564 | − | 0.766543i | 0.0566645 | − | 0.0981458i | −0.836302 | − | 0.548270i | \(-0.815287\pi\) |
0.892966 | + | 0.450124i | \(0.148620\pi\) | |||||||
\(62\) | −5.06998 | − | 5.06998i | −0.643888 | − | 0.643888i | ||||
\(63\) | −7.83925 | − | 1.24345i | −0.987653 | − | 0.156661i | ||||
\(64\) | − | 1.00000i | − | 0.125000i | ||||||
\(65\) | −10.8967 | + | 5.62024i | −1.35157 | + | 0.697105i | ||||
\(66\) | −5.28636 | + | 2.71303i | −0.650706 | + | 0.333951i | ||||
\(67\) | −4.32230 | − | 1.15816i | −0.528053 | − | 0.141491i | −0.0150642 | − | 0.999887i | \(-0.504795\pi\) |
−0.512989 | + | 0.858395i | \(0.671462\pi\) | |||||||
\(68\) | 0.993622 | + | 3.70825i | 0.120494 | + | 0.449691i | ||||
\(69\) | −0.0986585 | + | 1.99404i | −0.0118771 | + | 0.240054i | ||||
\(70\) | −2.40019 | − | 5.40732i | −0.286877 | − | 0.646298i | ||||
\(71\) | − | 1.76324i | − | 0.209258i | −0.994511 | − | 0.104629i | \(-0.966635\pi\) | ||
0.994511 | − | 0.104629i | \(-0.0333655\pi\) | |||||||
\(72\) | −2.96027 | + | 0.486620i | −0.348871 | + | 0.0573487i | ||||
\(73\) | 1.83002 | − | 6.82973i | 0.214188 | − | 0.799360i | −0.772263 | − | 0.635303i | \(-0.780875\pi\) |
0.986451 | − | 0.164057i | \(-0.0524581\pi\) | |||||||
\(74\) | −2.47346 | − | 4.28416i | −0.287534 | − | 0.498023i | ||||
\(75\) | 5.17975 | + | 6.94047i | 0.598106 | + | 0.801417i | ||||
\(76\) | −6.89429 | −0.790829 | ||||||||
\(77\) | 4.98952 | − | 7.58193i | 0.568608 | − | 0.864041i | ||||
\(78\) | −6.37543 | − | 7.03914i | −0.721875 | − | 0.797025i | ||||
\(79\) | −4.97633 | − | 2.87309i | −0.559881 | − | 0.323248i | 0.193217 | − | 0.981156i | \(-0.438108\pi\) |
−0.753098 | + | 0.657909i | \(0.771441\pi\) | |||||||
\(80\) | −1.50442 | − | 1.65430i | −0.168200 | − | 0.184956i | ||||
\(81\) | 2.88105 | + | 8.52640i | 0.320117 | + | 0.947378i | ||||
\(82\) | 2.00253 | + | 7.47354i | 0.221142 | + | 0.825315i | ||||
\(83\) | 7.09854 | − | 7.09854i | 0.779166 | − | 0.779166i | −0.200523 | − | 0.979689i | \(-0.564264\pi\) |
0.979689 | + | 0.200523i | \(0.0642642\pi\) | |||||||
\(84\) | 3.57040 | − | 2.87267i | 0.389563 | − | 0.313434i | ||||
\(85\) | 7.22252 | + | 4.63972i | 0.783392 | + | 0.503249i | ||||
\(86\) | 0.705664 | + | 0.407415i | 0.0760937 | + | 0.0439327i | ||||
\(87\) | 3.88492 | + | 1.24974i | 0.416507 | + | 0.133986i | ||||
\(88\) | 0.887893 | − | 3.31366i | 0.0946497 | − | 0.353237i | ||||
\(89\) | −0.641651 | + | 1.11137i | −0.0680149 | + | 0.117805i | −0.898027 | − | 0.439940i | \(-0.855000\pi\) |
0.830013 | + | 0.557745i | \(0.188333\pi\) | |||||||
\(90\) | −4.16509 | + | 5.25852i | −0.439039 | + | 0.554296i | ||||
\(91\) | 13.7696 | + | 4.56669i | 1.44345 | + | 0.478719i | ||||
\(92\) | −0.815058 | − | 0.815058i | −0.0849757 | − | 0.0849757i | ||||
\(93\) | −2.61753 | − | 12.1399i | −0.271425 | − | 1.25885i | ||||
\(94\) | −7.63664 | + | 4.40902i | −0.787659 | + | 0.454755i | ||||
\(95\) | −11.4052 | + | 10.3719i | −1.17015 | + | 1.06414i | ||||
\(96\) | 0.939092 | − | 1.45537i | 0.0958457 | − | 0.148538i | ||||
\(97\) | 2.15837 | − | 2.15837i | 0.219150 | − | 0.219150i | −0.588990 | − | 0.808140i | \(-0.700474\pi\) |
0.808140 | + | 0.588990i | \(0.200474\pi\) | |||||||
\(98\) | −2.58780 | + | 6.50410i | −0.261407 | + | 0.657013i | ||||
\(99\) | −10.2414 | − | 1.01591i | −1.02930 | − | 0.102103i | ||||
\(100\) | −4.97754 | − | 0.473417i | −0.497754 | − | 0.0473417i | ||||
\(101\) | −16.2068 | + | 9.35702i | −1.61264 | + | 0.931059i | −0.623885 | + | 0.781516i | \(0.714447\pi\) |
−0.988755 | + | 0.149543i | \(0.952220\pi\) | |||||||
\(102\) | −2.03629 | + | 6.32998i | −0.201623 | + | 0.626761i | ||||
\(103\) | −8.57874 | + | 2.29867i | −0.845288 | + | 0.226494i | −0.655372 | − | 0.755306i | \(-0.727488\pi\) |
−0.189916 | + | 0.981800i | \(0.560822\pi\) | |||||||
\(104\) | 5.48317 | 0.537669 | ||||||||
\(105\) | 1.58481 | − | 10.1237i | 0.154662 | − | 0.987968i | ||||
\(106\) | 0.953965 | 0.0926572 | ||||||||
\(107\) | 6.54257 | − | 1.75308i | 0.632494 | − | 0.169476i | 0.0716931 | − | 0.997427i | \(-0.477160\pi\) |
0.560801 | + | 0.827950i | \(0.310493\pi\) | |||||||
\(108\) | −4.76527 | − | 2.07175i | −0.458539 | − | 0.199354i | ||||
\(109\) | 12.2546 | − | 7.07519i | 1.17378 | − | 0.677680i | 0.219209 | − | 0.975678i | \(-0.429652\pi\) |
0.954566 | + | 0.297998i | \(0.0963189\pi\) | |||||||
\(110\) | −3.51631 | − | 6.81756i | −0.335267 | − | 0.650028i | ||||
\(111\) | 0.423414 | − | 8.55785i | 0.0401887 | − | 0.812275i | ||||
\(112\) | −0.154518 | + | 2.64124i | −0.0146006 | + | 0.249573i | ||||
\(113\) | −3.82501 | + | 3.82501i | −0.359827 | + | 0.359827i | −0.863749 | − | 0.503922i | \(-0.831890\pi\) |
0.503922 | + | 0.863749i | \(0.331890\pi\) | |||||||
\(114\) | −10.0338 | − | 6.47437i | −0.939747 | − | 0.606380i | ||||
\(115\) | −2.57454 | − | 0.122158i | −0.240077 | − | 0.0113913i | ||||
\(116\) | −2.04049 | + | 1.17808i | −0.189455 | + | 0.109382i | ||||
\(117\) | −2.66822 | − | 16.2317i | −0.246677 | − | 1.50062i | ||||
\(118\) | 3.88081 | + | 3.88081i | 0.357258 | + | 0.357258i | ||||
\(119\) | −2.05140 | − | 9.94788i | −0.188051 | − | 0.911921i | ||||
\(120\) | −0.635956 | − | 3.82041i | −0.0580546 | − | 0.348754i | ||||
\(121\) | 0.384350 | − | 0.665714i | 0.0349409 | − | 0.0605195i | ||||
\(122\) | −0.229088 | + | 0.854968i | −0.0207407 | + | 0.0774052i | ||||
\(123\) | −4.10392 | + | 12.7573i | −0.370038 | + | 1.15029i | ||||
\(124\) | 6.20943 | + | 3.58502i | 0.557623 | + | 0.321944i | ||||
\(125\) | −8.94656 | + | 6.70515i | −0.800205 | + | 0.599727i | ||||
\(126\) | 7.89396 | − | 0.827862i | 0.703250 | − | 0.0737518i | ||||
\(127\) | −4.52922 | + | 4.52922i | −0.401903 | + | 0.401903i | −0.878903 | − | 0.477000i | \(-0.841724\pi\) |
0.477000 | + | 0.878903i | \(0.341724\pi\) | |||||||
\(128\) | 0.258819 | + | 0.965926i | 0.0228766 | + | 0.0853766i | ||||
\(129\) | 0.644403 | + | 1.25562i | 0.0567365 | + | 0.110552i | ||||
\(130\) | 9.07081 | − | 8.24902i | 0.795563 | − | 0.723487i | ||||
\(131\) | −10.5767 | − | 6.10644i | −0.924088 | − | 0.533522i | −0.0391509 | − | 0.999233i | \(-0.512465\pi\) |
−0.884937 | + | 0.465711i | \(0.845799\pi\) | |||||||
\(132\) | 4.40405 | − | 3.98880i | 0.383323 | − | 0.347180i | ||||
\(133\) | 18.2094 | + | 1.06529i | 1.57896 | + | 0.0923726i | ||||
\(134\) | 4.47478 | 0.386562 | ||||||||
\(135\) | −11.0000 | + | 3.74169i | −0.946728 | + | 0.322034i | ||||
\(136\) | −1.91953 | − | 3.32472i | −0.164598 | − | 0.285093i | ||||
\(137\) | 0.910941 | − | 3.39968i | 0.0778270 | − | 0.290454i | −0.916032 | − | 0.401104i | \(-0.868627\pi\) |
0.993859 | + | 0.110650i | \(0.0352932\pi\) | |||||||
\(138\) | −0.420798 | − | 1.95163i | −0.0358207 | − | 0.166133i | ||||
\(139\) | 9.33303i | 0.791618i | 0.918333 | + | 0.395809i | \(0.129536\pi\) | ||||
−0.918333 | + | 0.395809i | \(0.870464\pi\) | |||||||
\(140\) | 3.71792 | + | 4.60186i | 0.314221 | + | 0.388928i | ||||
\(141\) | −15.2546 | − | 0.754749i | −1.28467 | − | 0.0635613i | ||||
\(142\) | 0.456359 | + | 1.70316i | 0.0382968 | + | 0.142926i | ||||
\(143\) | 18.1694 | + | 4.86847i | 1.51940 | + | 0.407122i | ||||
\(144\) | 2.73346 | − | 1.23621i | 0.227788 | − | 0.103018i | ||||
\(145\) | −1.60326 | + | 5.01866i | −0.133143 | + | 0.416777i | ||||
\(146\) | 7.07066i | 0.585172i | ||||||||
\(147\) | −9.87416 | + | 7.03570i | −0.814407 | + | 0.580295i | ||||
\(148\) | 3.49800 | + | 3.49800i | 0.287534 | + | 0.287534i | ||||
\(149\) | −1.00095 | + | 1.73369i | −0.0820008 | + | 0.142029i | −0.904109 | − | 0.427301i | \(-0.859464\pi\) |
0.822108 | + | 0.569331i | \(0.192798\pi\) | |||||||
\(150\) | −6.79958 | − | 5.36336i | −0.555184 | − | 0.437917i | ||||
\(151\) | −7.46876 | − | 12.9363i | −0.607799 | − | 1.05274i | −0.991602 | − | 0.129324i | \(-0.958719\pi\) |
0.383803 | − | 0.923415i | \(-0.374614\pi\) | |||||||
\(152\) | 6.65937 | − | 1.78437i | 0.540146 | − | 0.144732i | ||||
\(153\) | −8.90800 | + | 7.30020i | −0.720169 | + | 0.590186i | ||||
\(154\) | −2.85715 | + | 8.61496i | −0.230236 | + | 0.694213i | ||||
\(155\) | 15.6656 | − | 3.41092i | 1.25829 | − | 0.273972i | ||||
\(156\) | 7.98005 | + | 5.14920i | 0.638916 | + | 0.412266i | ||||
\(157\) | 13.6086 | + | 3.64642i | 1.08609 | + | 0.291016i | 0.757088 | − | 0.653313i | \(-0.226622\pi\) |
0.329000 | + | 0.944330i | \(0.393288\pi\) | |||||||
\(158\) | 5.55038 | + | 1.48722i | 0.441564 | + | 0.118317i | ||||
\(159\) | 1.38837 | + | 0.895860i | 0.110105 | + | 0.0710464i | ||||
\(160\) | 1.88133 | + | 1.20856i | 0.148732 | + | 0.0955449i | ||||
\(161\) | 2.02682 | + | 2.27870i | 0.159736 | + | 0.179587i | ||||
\(162\) | −4.98968 | − | 7.49020i | −0.392026 | − | 0.588486i | ||||
\(163\) | 5.82648 | − | 1.56120i | 0.456365 | − | 0.122283i | −0.0233112 | − | 0.999728i | \(-0.507421\pi\) |
0.479676 | + | 0.877446i | \(0.340754\pi\) | |||||||
\(164\) | −3.86859 | − | 6.70060i | −0.302086 | − | 0.523229i | ||||
\(165\) | 1.28477 | − | 13.2242i | 0.100020 | − | 1.02950i | ||||
\(166\) | −5.01942 | + | 8.69390i | −0.389583 | + | 0.674777i | ||||
\(167\) | −5.93525 | − | 5.93525i | −0.459284 | − | 0.459284i | 0.439137 | − | 0.898420i | \(-0.355284\pi\) |
−0.898420 | + | 0.439137i | \(0.855284\pi\) | |||||||
\(168\) | −2.70524 | + | 3.69887i | −0.208714 | + | 0.285374i | ||||
\(169\) | 17.0652i | 1.31271i | ||||||||
\(170\) | −8.17727 | − | 2.61230i | −0.627168 | − | 0.200354i | ||||
\(171\) | −8.52281 | − | 18.8452i | −0.651756 | − | 1.44113i | ||||
\(172\) | −0.787066 | − | 0.210894i | −0.0600132 | − | 0.0160805i | ||||
\(173\) | 3.16440 | + | 11.8097i | 0.240585 | + | 0.897875i | 0.975551 | + | 0.219772i | \(0.0705313\pi\) |
−0.734966 | + | 0.678104i | \(0.762802\pi\) | |||||||
\(174\) | −4.07600 | − | 0.201667i | −0.309001 | − | 0.0152884i | ||||
\(175\) | 13.0737 | + | 2.01953i | 0.988278 | + | 0.152662i | ||||
\(176\) | 3.43055i | 0.258588i | ||||||||
\(177\) | 2.00359 | + | 9.29246i | 0.150599 | + | 0.698464i | ||||
\(178\) | 0.332143 | − | 1.23958i | 0.0248952 | − | 0.0929101i | ||||
\(179\) | −0.740048 | − | 1.28180i | −0.0553138 | − | 0.0958063i | 0.837043 | − | 0.547138i | \(-0.184283\pi\) |
−0.892356 | + | 0.451331i | \(0.850949\pi\) | |||||||
\(180\) | 2.66217 | − | 6.15734i | 0.198426 | − | 0.458941i | ||||
\(181\) | −15.6223 | −1.16120 | −0.580599 | − | 0.814189i | \(-0.697182\pi\) | ||||
−0.580599 | + | 0.814189i | \(0.697182\pi\) | |||||||
\(182\) | −14.4823 | − | 0.847250i | −1.07350 | − | 0.0628023i | ||||
\(183\) | −1.13630 | + | 1.02916i | −0.0839978 | + | 0.0760778i | ||||
\(184\) | 0.998238 | + | 0.576333i | 0.0735911 | + | 0.0424878i | ||||
\(185\) | 11.0492 | + | 0.524267i | 0.812354 | + | 0.0385449i | ||||
\(186\) | 5.67037 | + | 11.0488i | 0.415772 | + | 0.810134i | ||||
\(187\) | −3.40867 | − | 12.7213i | −0.249267 | − | 0.930276i | ||||
\(188\) | 6.23529 | − | 6.23529i | 0.454755 | − | 0.454755i | ||||
\(189\) | 12.2661 | + | 6.20831i | 0.892227 | + | 0.451588i | ||||
\(190\) | 8.33215 | − | 12.9704i | 0.604477 | − | 0.940972i | ||||
\(191\) | 13.1103 | + | 7.56922i | 0.948627 | + | 0.547690i | 0.892654 | − | 0.450743i | \(-0.148841\pi\) |
0.0559725 | + | 0.998432i | \(0.482174\pi\) | |||||||
\(192\) | −0.530415 | + | 1.64884i | −0.0382794 | + | 0.118994i | ||||
\(193\) | −4.35769 | + | 16.2631i | −0.313673 | + | 1.17065i | 0.611545 | + | 0.791210i | \(0.290548\pi\) |
−0.925218 | + | 0.379436i | \(0.876118\pi\) | |||||||
\(194\) | −1.52620 | + | 2.64346i | −0.109575 | + | 0.189789i | ||||
\(195\) | 20.9480 | − | 3.48706i | 1.50012 | − | 0.249713i | ||||
\(196\) | 0.816238 | − | 6.95225i | 0.0583027 | − | 0.496589i | ||||
\(197\) | 3.26809 | + | 3.26809i | 0.232842 | + | 0.232842i | 0.813878 | − | 0.581036i | \(-0.197352\pi\) |
−0.581036 | + | 0.813878i | \(0.697352\pi\) | |||||||
\(198\) | 10.1554 | − | 1.66938i | 0.721711 | − | 0.118637i | ||||
\(199\) | 4.35724 | − | 2.51565i | 0.308876 | − | 0.178330i | −0.337547 | − | 0.941309i | \(-0.609597\pi\) |
0.646424 | + | 0.762979i | \(0.276264\pi\) | |||||||
\(200\) | 4.93046 | − | 0.830995i | 0.348636 | − | 0.0587602i | ||||
\(201\) | 6.51246 | + | 4.20223i | 0.459354 | + | 0.296402i | ||||
\(202\) | 13.2328 | − | 13.2328i | 0.931059 | − | 0.931059i | ||||
\(203\) | 5.57146 | − | 2.79629i | 0.391040 | − | 0.196261i | ||||
\(204\) | 0.328591 | − | 6.64132i | 0.0230060 | − | 0.464985i | ||||
\(205\) | −16.4803 | − | 5.26480i | −1.15104 | − | 0.367709i | ||||
\(206\) | 7.69148 | − | 4.44068i | 0.535891 | − | 0.309397i | ||||
\(207\) | 1.22034 | − | 3.23551i | 0.0848194 | − | 0.224883i | ||||
\(208\) | −5.29634 | + | 1.41915i | −0.367235 | + | 0.0984003i | ||||
\(209\) | 23.6512 | 1.63599 | ||||||||
\(210\) | 1.08939 | + | 10.1889i | 0.0751748 | + | 0.703099i | ||||
\(211\) | 2.58896 | 0.178231 | 0.0891156 | − | 0.996021i | \(-0.471596\pi\) | ||||
0.0891156 | + | 0.996021i | \(0.471596\pi\) | |||||||
\(212\) | −0.921459 | + | 0.246904i | −0.0632861 | + | 0.0169575i | ||||
\(213\) | −0.935247 | + | 2.90729i | −0.0640821 | + | 0.199204i | ||||
\(214\) | −5.86591 | + | 3.38669i | −0.400985 | + | 0.231509i | ||||
\(215\) | −1.61932 | + | 0.835199i | −0.110436 | + | 0.0569601i | ||||
\(216\) | 5.13911 | + | 0.767816i | 0.349672 | + | 0.0522432i | ||||
\(217\) | −15.8466 | − | 10.4283i | −1.07574 | − | 0.707922i | ||||
\(218\) | −10.0058 | + | 10.0058i | −0.677680 | + | 0.677680i | ||||
\(219\) | −6.64000 | + | 10.2904i | −0.448690 | + | 0.695364i | ||||
\(220\) | 5.16101 | + | 5.67517i | 0.347955 | + | 0.382620i | ||||
\(221\) | 18.2300 | − | 10.5251i | 1.22628 | − | 0.707996i | ||||
\(222\) | 1.80595 | + | 8.37583i | 0.121207 | + | 0.562149i | ||||
\(223\) | −7.72857 | − | 7.72857i | −0.517543 | − | 0.517543i | 0.399284 | − | 0.916827i | \(-0.369259\pi\) |
−0.916827 | + | 0.399284i | \(0.869259\pi\) | |||||||
\(224\) | −0.534349 | − | 2.59123i | −0.0357027 | − | 0.173134i | ||||
\(225\) | −4.85923 | − | 14.1911i | −0.323949 | − | 0.946075i | ||||
\(226\) | 2.70469 | − | 4.68466i | 0.179913 | − | 0.311619i | ||||
\(227\) | 1.96153 | − | 7.32054i | 0.130191 | − | 0.485881i | −0.869780 | − | 0.493440i | \(-0.835739\pi\) |
0.999971 | + | 0.00755864i | \(0.00240601\pi\) | |||||||
\(228\) | 11.3676 | + | 3.65684i | 0.752835 | + | 0.242180i | ||||
\(229\) | −4.05881 | − | 2.34336i | −0.268214 | − | 0.154853i | 0.359862 | − | 0.933006i | \(-0.382824\pi\) |
−0.628076 | + | 0.778152i | \(0.716157\pi\) | |||||||
\(230\) | 2.51843 | − | 0.548345i | 0.166061 | − | 0.0361568i | ||||
\(231\) | −12.2485 | + | 9.85484i | −0.805890 | + | 0.648401i | ||||
\(232\) | 1.66606 | − | 1.66606i | 0.109382 | − | 0.109382i | ||||
\(233\) | 0.486355 | + | 1.81510i | 0.0318622 | + | 0.118911i | 0.980025 | − | 0.198873i | \(-0.0637280\pi\) |
−0.948163 | + | 0.317784i | \(0.897061\pi\) | |||||||
\(234\) | 6.77837 | + | 14.9880i | 0.443116 | + | 0.979797i | ||||
\(235\) | 0.934521 | − | 19.6956i | 0.0609614 | − | 1.28480i | ||||
\(236\) | −4.75301 | − | 2.74415i | −0.309394 | − | 0.178629i | ||||
\(237\) | 6.68123 | + | 7.37677i | 0.433992 | + | 0.479173i | ||||
\(238\) | 4.55620 | + | 9.07798i | 0.295334 | + | 0.588438i | ||||
\(239\) | −18.5117 | −1.19742 | −0.598712 | − | 0.800964i | \(-0.704321\pi\) | ||||
−0.598712 | + | 0.800964i | \(0.704321\pi\) | |||||||
\(240\) | 1.60308 | + | 3.52564i | 0.103479 | + | 0.227579i | ||||
\(241\) | −4.18303 | − | 7.24521i | −0.269452 | − | 0.466705i | 0.699268 | − | 0.714859i | \(-0.253509\pi\) |
−0.968721 | + | 0.248154i | \(0.920176\pi\) | |||||||
\(242\) | −0.198954 | + | 0.742508i | −0.0127893 | + | 0.0477302i | ||||
\(243\) | −0.227852 | − | 15.5868i | −0.0146167 | − | 0.999893i | ||||
\(244\) | − | 0.885128i | − | 0.0566645i | ||||||
\(245\) | −9.10883 | − | 12.7291i | −0.581942 | − | 0.813231i | ||||
\(246\) | 0.662237 | − | 13.3848i | 0.0422227 | − | 0.853385i | ||||
\(247\) | 9.78403 | + | 36.5145i | 0.622543 | + | 2.32336i | ||||
\(248\) | −6.92572 | − | 1.85574i | −0.439784 | − | 0.117840i | ||||
\(249\) | −15.4695 | + | 7.93915i | −0.980339 | + | 0.503123i | ||||
\(250\) | 6.90629 | − | 8.79222i | 0.436792 | − | 0.556069i | ||||
\(251\) | 29.1045i | 1.83706i | 0.395355 | + | 0.918528i | \(0.370622\pi\) | ||||
−0.395355 | + | 0.918528i | \(0.629378\pi\) | |||||||
\(252\) | −7.41072 | + | 2.84276i | −0.466831 | + | 0.179077i | ||||
\(253\) | 2.79610 | + | 2.79610i | 0.175789 | + | 0.175789i | ||||
\(254\) | 3.20264 | − | 5.54713i | 0.200951 | − | 0.348058i | ||||
\(255\) | −9.44777 | − | 11.4811i | −0.591643 | − | 0.718973i | ||||
\(256\) | −0.500000 | − | 0.866025i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | −18.5540 | + | 4.97152i | −1.15737 | + | 0.310115i | −0.785913 | − | 0.618337i | \(-0.787807\pi\) |
−0.371452 | + | 0.928452i | \(0.621140\pi\) | |||||||
\(258\) | −0.947425 | − | 1.04606i | −0.0589841 | − | 0.0651246i | ||||
\(259\) | −8.69853 | − | 9.77954i | −0.540501 | − | 0.607671i | ||||
\(260\) | −6.62673 | + | 10.3156i | −0.410972 | + | 0.639749i | ||||
\(261\) | −5.74271 | − | 4.12124i | −0.355465 | − | 0.255098i | ||||
\(262\) | 11.7967 | + | 3.16093i | 0.728805 | + | 0.195283i | ||||
\(263\) | −7.96472 | − | 2.13414i | −0.491126 | − | 0.131597i | 0.00475276 | − | 0.999989i | \(-0.498487\pi\) |
−0.495878 | + | 0.868392i | \(0.665154\pi\) | |||||||
\(264\) | −3.22161 | + | 4.99273i | −0.198276 | + | 0.307281i | ||||
\(265\) | −1.15292 | + | 1.79472i | −0.0708234 | + | 0.110249i | ||||
\(266\) | −17.8647 | + | 3.68396i | −1.09535 | + | 0.225878i | ||||
\(267\) | 1.64747 | − | 1.49213i | 0.100823 | − | 0.0913169i | ||||
\(268\) | −4.32230 | + | 1.15816i | −0.264027 | + | 0.0707457i | ||||
\(269\) | −2.64417 | − | 4.57984i | −0.161218 | − | 0.279238i | 0.774088 | − | 0.633078i | \(-0.218209\pi\) |
−0.935306 | + | 0.353841i | \(0.884876\pi\) | |||||||
\(270\) | 9.65675 | − | 6.46120i | 0.587691 | − | 0.393216i | ||||
\(271\) | −11.2806 | + | 19.5386i | −0.685247 | + | 1.18688i | 0.288112 | + | 0.957597i | \(0.406973\pi\) |
−0.973359 | + | 0.229286i | \(0.926361\pi\) | |||||||
\(272\) | 2.71462 | + | 2.71462i | 0.164598 | + | 0.164598i | ||||
\(273\) | −20.2816 | − | 14.8333i | −1.22750 | − | 0.897753i | ||||
\(274\) | 3.51961i | 0.212627i | ||||||||
\(275\) | 17.0757 | + | 1.62408i | 1.02970 | + | 0.0979359i | ||||
\(276\) | 0.911578 | + | 1.77622i | 0.0548705 | + | 0.106916i | ||||
\(277\) | −24.3091 | − | 6.51359i | −1.46059 | − | 0.391364i | −0.560896 | − | 0.827886i | \(-0.689543\pi\) |
−0.899693 | + | 0.436522i | \(0.856210\pi\) | |||||||
\(278\) | −2.41557 | − | 9.01502i | −0.144876 | − | 0.540685i | ||||
\(279\) | −2.12330 | + | 21.4050i | −0.127119 | + | 1.28149i | ||||
\(280\) | −4.78228 | − | 3.48278i | −0.285796 | − | 0.208136i | ||||
\(281\) | − | 29.4678i | − | 1.75790i | −0.476910 | − | 0.878952i | \(-0.658243\pi\) | ||
0.476910 | − | 0.878952i | \(-0.341757\pi\) | |||||||
\(282\) | 14.9302 | − | 3.21915i | 0.889079 | − | 0.191698i | ||||
\(283\) | 0.269428 | − | 1.00552i | 0.0160158 | − | 0.0597719i | −0.957455 | − | 0.288581i | \(-0.906817\pi\) |
0.973471 | + | 0.228809i | \(0.0734832\pi\) | |||||||
\(284\) | −0.881618 | − | 1.52701i | −0.0523144 | − | 0.0906112i | ||||
\(285\) | 24.3068 | − | 11.0521i | 1.43981 | − | 0.654671i | ||||
\(286\) | −18.8103 | −1.11228 | ||||||||
\(287\) | 9.18249 | + | 18.2956i | 0.542025 | + | 1.07996i | ||||
\(288\) | −2.32036 | + | 1.90156i | −0.136728 | + | 0.112051i | ||||
\(289\) | 1.95863 | + | 1.13081i | 0.115213 | + | 0.0665185i | ||||
\(290\) | 0.249702 | − | 5.26261i | 0.0146630 | − | 0.309031i | ||||
\(291\) | −4.70364 | + | 2.41397i | −0.275732 | + | 0.141509i | ||||
\(292\) | −1.83002 | − | 6.82973i | −0.107094 | − | 0.399680i | ||||
\(293\) | −12.5118 | + | 12.5118i | −0.730947 | + | 0.730947i | −0.970807 | − | 0.239860i | \(-0.922898\pi\) |
0.239860 | + | 0.970807i | \(0.422898\pi\) | |||||||
\(294\) | 7.71673 | − | 9.35158i | 0.450049 | − | 0.545395i | ||||
\(295\) | −11.9913 | + | 2.61089i | −0.698158 | + | 0.152012i | ||||
\(296\) | −4.28416 | − | 2.47346i | −0.249012 | − | 0.143767i | ||||
\(297\) | 16.3475 | + | 7.10726i | 0.948580 | + | 0.412405i | ||||
\(298\) | 0.518128 | − | 1.93368i | 0.0300144 | − | 0.112015i | ||||
\(299\) | −3.16013 | + | 5.47351i | −0.182755 | + | 0.316541i | ||||
\(300\) | 7.95603 | + | 3.42075i | 0.459342 | + | 0.197497i | ||||
\(301\) | 2.04624 | + | 0.678636i | 0.117943 | + | 0.0391159i | ||||
\(302\) | 10.5624 | + | 10.5624i | 0.607799 | + | 0.607799i | ||||
\(303\) | 31.6855 | − | 6.83184i | 1.82029 | − | 0.392479i | ||||
\(304\) | −5.97063 | + | 3.44715i | −0.342439 | + | 0.197707i | ||||
\(305\) | −1.33161 | − | 1.46427i | −0.0762476 | − | 0.0838437i | ||||
\(306\) | 6.71503 | − | 9.35701i | 0.383873 | − | 0.534905i | ||||
\(307\) | 21.9524 | − | 21.9524i | 1.25289 | − | 1.25289i | 0.298469 | − | 0.954419i | \(-0.403524\pi\) |
0.954419 | − | 0.298469i | \(-0.0964760\pi\) | |||||||
\(308\) | 0.530083 | − | 9.06090i | 0.0302043 | − | 0.516293i | ||||
\(309\) | 15.3642 | + | 0.760169i | 0.874037 | + | 0.0432445i | ||||
\(310\) | −14.2490 | + | 7.34926i | −0.809291 | + | 0.417410i | ||||
\(311\) | −9.54424 | + | 5.51037i | −0.541204 | + | 0.312465i | −0.745567 | − | 0.666431i | \(-0.767821\pi\) |
0.204362 | + | 0.978895i | \(0.434488\pi\) | |||||||
\(312\) | −9.04085 | − | 2.90836i | −0.511837 | − | 0.164653i | ||||
\(313\) | −8.87281 | + | 2.37746i | −0.501521 | + | 0.134382i | −0.500706 | − | 0.865618i | \(-0.666926\pi\) |
−0.000815167 | 1.00000i | \(0.500259\pi\) | ||||||||
\(314\) | −14.0887 | −0.795071 | ||||||||
\(315\) | −7.98283 | + | 15.8516i | −0.449781 | + | 0.893139i | ||||
\(316\) | −5.74617 | −0.323248 | ||||||||
\(317\) | −4.91615 | + | 1.31728i | −0.276118 | + | 0.0739857i | −0.394221 | − | 0.919016i | \(-0.628986\pi\) |
0.118103 | + | 0.993001i | \(0.462319\pi\) | |||||||
\(318\) | −1.57293 | − | 0.505997i | −0.0882056 | − | 0.0283749i | ||||
\(319\) | 7.00002 | − | 4.04147i | 0.391926 | − | 0.226279i | ||||
\(320\) | −2.13002 | − | 0.680454i | −0.119072 | − | 0.0380385i | ||||
\(321\) | −11.7175 | − | 0.579743i | −0.654006 | − | 0.0323581i | ||||
\(322\) | −2.54753 | − | 1.67648i | −0.141968 | − | 0.0934264i | ||||
\(323\) | 18.7154 | − | 18.7154i | 1.04135 | − | 1.04135i | ||||
\(324\) | 6.75827 | + | 5.94355i | 0.375459 | + | 0.330197i | ||||
\(325\) | 4.55649 | + | 27.0346i | 0.252749 | + | 1.49961i | ||||
\(326\) | −5.22388 | + | 3.01601i | −0.289324 | + | 0.167041i | ||||
\(327\) | −23.9586 | + | 5.16580i | −1.32491 | + | 0.285670i | ||||
\(328\) | 5.47101 | + | 5.47101i | 0.302086 | + | 0.302086i | ||||
\(329\) | −17.4323 | + | 15.5054i | −0.961076 | + | 0.854840i | ||||
\(330\) | 2.18168 | + | 13.1061i | 0.120098 | + | 0.721469i | ||||
\(331\) | 17.0080 | − | 29.4586i | 0.934842 | − | 1.61919i | 0.159925 | − | 0.987129i | \(-0.448875\pi\) |
0.774916 | − | 0.632064i | \(-0.217792\pi\) | |||||||
\(332\) | 2.59824 | − | 9.69678i | 0.142597 | − | 0.532180i | ||||
\(333\) | −5.23735 | + | 13.8859i | −0.287005 | + | 0.760942i | ||||
\(334\) | 7.26917 | + | 4.19686i | 0.397751 | + | 0.229642i | ||||
\(335\) | −5.40803 | + | 8.41852i | −0.295472 | + | 0.459953i | ||||
\(336\) | 1.65573 | − | 4.27300i | 0.0903273 | − | 0.233112i | ||||
\(337\) | 19.0320 | − | 19.0320i | 1.03674 | − | 1.03674i | 0.0374412 | − | 0.999299i | \(-0.488079\pi\) |
0.999299 | − | 0.0374412i | \(-0.0119207\pi\) | |||||||
\(338\) | −4.41679 | − | 16.4837i | −0.240242 | − | 0.896595i | ||||
\(339\) | 8.33566 | − | 4.27797i | 0.452731 | − | 0.232347i | ||||
\(340\) | 8.57475 | + | 0.406857i | 0.465031 | + | 0.0220649i | ||||
\(341\) | −21.3018 | − | 12.2986i | −1.15356 | − | 0.666006i | ||||
\(342\) | 13.1099 | + | 15.9972i | 0.708903 | + | 0.865031i | ||||
\(343\) | −3.23013 | + | 18.2364i | −0.174410 | + | 0.984673i | ||||
\(344\) | 0.814830 | 0.0439327 | ||||||||
\(345\) | 4.18020 | + | 1.56699i | 0.225055 | + | 0.0843642i | ||||
\(346\) | −6.11315 | − | 10.5883i | −0.328645 | − | 0.569230i | ||||
\(347\) | 7.08212 | − | 26.4308i | 0.380188 | − | 1.41888i | −0.465425 | − | 0.885087i | \(-0.654099\pi\) |
0.845614 | − | 0.533795i | \(-0.179235\pi\) | |||||||
\(348\) | 3.98931 | − | 0.860151i | 0.213849 | − | 0.0461089i | ||||
\(349\) | − | 7.53522i | − | 0.403351i | −0.979452 | − | 0.201675i | \(-0.935361\pi\) | ||
0.979452 | − | 0.201675i | \(-0.0646386\pi\) | |||||||
\(350\) | −13.1509 | + | 1.43301i | −0.702946 | + | 0.0765975i | ||||
\(351\) | −4.21007 | + | 28.1786i | −0.224717 | + | 1.50406i | ||||
\(352\) | −0.887893 | − | 3.31366i | −0.0473248 | − | 0.176619i | ||||
\(353\) | −14.4208 | − | 3.86404i | −0.767542 | − | 0.205662i | −0.146257 | − | 0.989247i | \(-0.546723\pi\) |
−0.621285 | + | 0.783584i | \(0.713389\pi\) | |||||||
\(354\) | −4.34038 | − | 8.45726i | −0.230689 | − | 0.449499i | ||||
\(355\) | −3.75573 | − | 1.19980i | −0.199333 | − | 0.0636788i | ||||
\(356\) | 1.28330i | 0.0680149i | ||||||||
\(357\) | −1.89409 | + | 17.4905i | −0.100246 | + | 0.925696i | ||||
\(358\) | 1.04659 | + | 1.04659i | 0.0553138 | + | 0.0553138i | ||||
\(359\) | 15.4927 | − | 26.8342i | 0.817675 | − | 1.41625i | −0.0897169 | − | 0.995967i | \(-0.528596\pi\) |
0.907391 | − | 0.420287i | \(-0.138070\pi\) | |||||||
\(360\) | −0.977818 | + | 6.63656i | −0.0515355 | + | 0.349777i | ||||
\(361\) | 14.2656 | + | 24.7088i | 0.750822 | + | 1.30046i | ||||
\(362\) | 15.0900 | − | 4.04336i | 0.793113 | − | 0.212514i | ||||
\(363\) | −0.986836 | + | 0.893789i | −0.0517954 | + | 0.0469117i | ||||
\(364\) | 14.2082 | − | 2.92993i | 0.744710 | − | 0.153570i | ||||
\(365\) | −13.3022 | − | 8.54530i | −0.696270 | − | 0.447282i | ||||
\(366\) | 0.831216 | − | 1.28819i | 0.0434484 | − | 0.0673348i | ||||
\(367\) | −9.66937 | − | 2.59090i | −0.504737 | − | 0.135244i | −0.00253931 | − | 0.999997i | \(-0.500808\pi\) |
−0.502197 | + | 0.864753i | \(0.667475\pi\) | |||||||
\(368\) | −1.11339 | − | 0.298332i | −0.0580395 | − | 0.0155516i | ||||
\(369\) | 13.5334 | − | 18.8580i | 0.704519 | − | 0.981707i | ||||
\(370\) | −10.8084 | + | 2.35334i | −0.561903 | + | 0.122345i | ||||
\(371\) | 2.47194 | − | 0.509750i | 0.128337 | − | 0.0264649i | ||||
\(372\) | −8.33678 | − | 9.20468i | −0.432242 | − | 0.477240i | ||||
\(373\) | −13.8184 | + | 3.70262i | −0.715489 | + | 0.191715i | −0.598158 | − | 0.801378i | \(-0.704100\pi\) |
−0.117331 | + | 0.993093i | \(0.537434\pi\) | |||||||
\(374\) | 6.58505 | + | 11.4056i | 0.340505 | + | 0.589772i | ||||
\(375\) | 18.3079 | − | 6.31030i | 0.945417 | − | 0.325863i | ||||
\(376\) | −4.40902 | + | 7.63664i | −0.227378 | + | 0.393830i | ||||
\(377\) | 9.13527 | + | 9.13527i | 0.470490 | + | 0.470490i | ||||
\(378\) | −13.4550 | − | 2.82207i | −0.692048 | − | 0.145152i | ||||
\(379\) | − | 2.99621i | − | 0.153905i | −0.997035 | − | 0.0769524i | \(-0.975481\pi\) | ||
0.997035 | − | 0.0769524i | \(-0.0245189\pi\) | |||||||
\(380\) | −4.69125 | + | 14.6850i | −0.240656 | + | 0.753323i | ||||
\(381\) | 9.87030 | − | 5.06557i | 0.505671 | − | 0.259517i | ||||
\(382\) | −14.6226 | − | 3.91812i | −0.748158 | − | 0.200468i | ||||
\(383\) | 2.17034 | + | 8.09984i | 0.110899 | + | 0.413882i | 0.998947 | − | 0.0458683i | \(-0.0146055\pi\) |
−0.888048 | + | 0.459751i | \(0.847939\pi\) | |||||||
\(384\) | 0.0855915 | − | 1.72993i | 0.00436782 | − | 0.0882804i | ||||
\(385\) | −12.7545 | − | 15.7869i | −0.650030 | − | 0.804576i | ||||
\(386\) | − | 16.8368i | − | 0.856972i | ||||||
\(387\) | −0.396513 | − | 2.41212i | −0.0201559 | − | 0.122615i | ||||
\(388\) | 0.790020 | − | 2.94839i | 0.0401072 | − | 0.149682i | ||||
\(389\) | 13.0941 | + | 22.6796i | 0.663895 | + | 1.14990i | 0.979584 | + | 0.201037i | \(0.0644312\pi\) |
−0.315688 | + | 0.948863i | \(0.602235\pi\) | |||||||
\(390\) | −19.3317 | + | 8.78998i | −0.978898 | + | 0.445098i | ||||
\(391\) | 4.42515 | 0.223790 | ||||||||
\(392\) | 1.01095 | + | 6.92661i | 0.0510606 | + | 0.349847i | ||||
\(393\) | 14.2002 | + | 15.6785i | 0.716307 | + | 0.790878i | ||||
\(394\) | −4.00258 | − | 2.31089i | −0.201647 | − | 0.116421i | ||||
\(395\) | −9.50590 | + | 8.64468i | −0.478294 | + | 0.434961i | ||||
\(396\) | −9.37727 | + | 4.24090i | −0.471225 | + | 0.213113i | ||||
\(397\) | 1.80333 | + | 6.73010i | 0.0905063 | + | 0.337774i | 0.996300 | − | 0.0859451i | \(-0.0273910\pi\) |
−0.905794 | + | 0.423719i | \(0.860724\pi\) | |||||||
\(398\) | −3.55767 | + | 3.55767i | −0.178330 | + | 0.178330i | ||||
\(399\) | −29.4593 | − | 11.4151i | −1.47481 | − | 0.571468i | ||||
\(400\) | −4.54738 | + | 2.07878i | −0.227369 | + | 0.103939i | ||||
\(401\) | 16.7034 | + | 9.64369i | 0.834126 | + | 0.481583i | 0.855263 | − | 0.518193i | \(-0.173395\pi\) |
−0.0211370 | + | 0.999777i | \(0.506729\pi\) | |||||||
\(402\) | −7.37817 | − | 2.37349i | −0.367990 | − | 0.118379i | ||||
\(403\) | 10.1753 | − | 37.9749i | 0.506870 | − | 1.89167i | ||||
\(404\) | −9.35702 | + | 16.2068i | −0.465529 | + | 0.806320i | ||||
\(405\) | 20.1218 | − | 0.334876i | 0.999862 | − | 0.0166401i | ||||
\(406\) | −4.65788 | + | 4.14301i | −0.231167 | + | 0.205614i | ||||
\(407\) | −12.0001 | − | 12.0001i | −0.594822 | − | 0.594822i | ||||
\(408\) | 1.40151 | + | 6.50007i | 0.0693849 | + | 0.321801i | ||||
\(409\) | −30.3259 | + | 17.5087i | −1.49952 | + | 0.865747i | −1.00000 | 0.000555857i | \(-0.999823\pi\) | |
−0.499519 | + | 0.866303i | \(0.666490\pi\) | |||||||
\(410\) | 17.2814 | + | 0.819974i | 0.853469 | + | 0.0404956i | ||||
\(411\) | −3.30523 | + | 5.12234i | −0.163035 | + | 0.252666i | ||||
\(412\) | −6.28007 | + | 6.28007i | −0.309397 | + | 0.309397i | ||||
\(413\) | 12.1298 | + | 7.98237i | 0.596868 | + | 0.392787i | ||||
\(414\) | −0.341345 | + | 3.44111i | −0.0167762 | + | 0.169121i | ||||
\(415\) | −10.2898 | − | 19.9502i | −0.505106 | − | 0.979319i | ||||
\(416\) | 4.74857 | − | 2.74159i | 0.232818 | − | 0.134417i | ||||
\(417\) | 4.95038 | − | 15.3886i | 0.242421 | − | 0.753585i | ||||
\(418\) | −22.8453 | + | 6.12139i | −1.11740 | + | 0.299407i | ||||
\(419\) | 8.91090 | 0.435326 | 0.217663 | − | 0.976024i | \(-0.430157\pi\) | ||||
0.217663 | + | 0.976024i | \(0.430157\pi\) | |||||||
\(420\) | −3.68934 | − | 9.55975i | −0.180021 | − | 0.466468i | ||||
\(421\) | 18.8014 | 0.916324 | 0.458162 | − | 0.888869i | \(-0.348508\pi\) | ||||
0.458162 | + | 0.888869i | \(0.348508\pi\) | |||||||
\(422\) | −2.50074 | + | 0.670072i | −0.121734 | + | 0.0326186i | ||||
\(423\) | 24.7520 | + | 9.33574i | 1.20348 | + | 0.453919i | ||||
\(424\) | 0.826158 | − | 0.476982i | 0.0401218 | − | 0.0231643i | ||||
\(425\) | 14.7973 | − | 12.2270i | 0.717774 | − | 0.593096i | ||||
\(426\) | 0.150918 | − | 3.05028i | 0.00731201 | − | 0.147787i | ||||
\(427\) | −0.136768 | + | 2.33783i | −0.00661869 | + | 0.113136i | ||||
\(428\) | 4.78950 | − | 4.78950i | 0.231509 | − | 0.231509i | ||||
\(429\) | −27.3760 | − | 17.6646i | −1.32173 | − | 0.852856i | ||||
\(430\) | 1.34797 | − | 1.22585i | 0.0650051 | − | 0.0591158i | ||||
\(431\) | 28.5894 | − | 16.5061i | 1.37710 | − | 0.795069i | 0.385291 | − | 0.922795i | \(-0.374101\pi\) |
0.991810 | + | 0.127726i | \(0.0407677\pi\) | |||||||
\(432\) | −5.16273 | + | 0.588447i | −0.248392 | + | 0.0283117i | ||||
\(433\) | −27.9007 | − | 27.9007i | −1.34082 | − | 1.34082i | −0.895242 | − | 0.445581i | \(-0.852997\pi\) |
−0.445581 | − | 0.895242i | \(-0.647003\pi\) | |||||||
\(434\) | 18.0057 | + | 5.97160i | 0.864302 | + | 0.286646i | ||||
\(435\) | 5.30548 | − | 7.42456i | 0.254378 | − | 0.355980i | ||||
\(436\) | 7.07519 | − | 12.2546i | 0.338840 | − | 0.586888i | ||||
\(437\) | −2.05679 | + | 7.67603i | −0.0983895 | + | 0.367194i | ||||
\(438\) | 3.75039 | − | 11.6584i | 0.179200 | − | 0.557058i | ||||
\(439\) | 13.8443 | + | 7.99298i | 0.660750 | + | 0.381484i | 0.792563 | − | 0.609790i | \(-0.208746\pi\) |
−0.131813 | + | 0.991275i | \(0.542080\pi\) | |||||||
\(440\) | −6.45399 | − | 4.14602i | −0.307682 | − | 0.197654i | ||||
\(441\) | 20.0127 | − | 6.36331i | 0.952986 | − | 0.303015i | ||||
\(442\) | −14.8848 | + | 14.8848i | −0.707996 | + | 0.707996i | ||||
\(443\) | 4.88974 | + | 18.2487i | 0.232318 | + | 0.867024i | 0.979339 | + | 0.202224i | \(0.0648168\pi\) |
−0.747021 | + | 0.664801i | \(0.768517\pi\) | |||||||
\(444\) | −3.91224 | − | 7.62302i | −0.185666 | − | 0.361772i | ||||
\(445\) | 1.93063 | + | 2.12297i | 0.0915207 | + | 0.100638i | ||||
\(446\) | 9.46552 | + | 5.46492i | 0.448205 | + | 0.258772i | ||||
\(447\) | 2.56997 | − | 2.32765i | 0.121556 | − | 0.110094i | ||||
\(448\) | 1.18680 | + | 2.36464i | 0.0560711 | + | 0.111719i | ||||
\(449\) | −6.78726 | −0.320311 | −0.160155 | − | 0.987092i | \(-0.551199\pi\) | ||||
−0.160155 | + | 0.987092i | \(0.551199\pi\) | |||||||
\(450\) | 8.36659 | + | 12.4499i | 0.394405 | + | 0.586894i | ||||
\(451\) | 13.2714 | + | 22.9868i | 0.624926 | + | 1.08240i | ||||
\(452\) | −1.40005 | + | 5.22506i | −0.0658528 | + | 0.245766i | ||||
\(453\) | 5.45317 | + | 25.2913i | 0.256212 | + | 1.18829i | ||||
\(454\) | 7.57878i | 0.355690i | ||||||||
\(455\) | 19.0967 | − | 26.2221i | 0.895267 | − | 1.22931i | ||||
\(456\) | −11.9267 | − | 0.590093i | −0.558518 | − | 0.0276336i | ||||
\(457\) | 1.37469 | + | 5.13040i | 0.0643051 | + | 0.239990i | 0.990596 | − | 0.136819i | \(-0.0436880\pi\) |
−0.926291 | + | 0.376809i | \(0.877021\pi\) | |||||||
\(458\) | 4.52702 | + | 1.21301i | 0.211534 | + | 0.0566803i | ||||
\(459\) | 18.5600 | − | 7.31190i | 0.866305 | − | 0.341290i | ||||
\(460\) | −2.29070 | + | 1.18148i | −0.106804 | + | 0.0550868i | ||||
\(461\) | 28.0988i | 1.30869i | 0.756195 | + | 0.654347i | \(0.227056\pi\) | ||||
−0.756195 | + | 0.654347i | \(0.772944\pi\) | |||||||
\(462\) | 9.28049 | − | 12.6892i | 0.431767 | − | 0.590354i | ||||
\(463\) | −7.61828 | − | 7.61828i | −0.354051 | − | 0.354051i | 0.507563 | − | 0.861615i | \(-0.330546\pi\) |
−0.861615 | + | 0.507563i | \(0.830546\pi\) | |||||||
\(464\) | −1.17808 | + | 2.04049i | −0.0546910 | + | 0.0947275i | ||||
\(465\) | −27.6393 | − | 2.68524i | −1.28174 | − | 0.124525i | ||||
\(466\) | −0.939566 | − | 1.62738i | −0.0435246 | − | 0.0753867i | ||||
\(467\) | −8.84631 | + | 2.37036i | −0.409358 | + | 0.109687i | −0.457621 | − | 0.889147i | \(-0.651298\pi\) |
0.0482625 | + | 0.998835i | \(0.484632\pi\) | |||||||
\(468\) | −10.4266 | − | 12.7229i | −0.481969 | − | 0.588118i | ||||
\(469\) | 11.5952 | − | 2.39109i | 0.535416 | − | 0.110410i | ||||
\(470\) | 4.19491 | + | 19.2663i | 0.193497 | + | 0.888689i | ||||
\(471\) | −20.5043 | − | 13.2306i | −0.944788 | − | 0.609633i | ||||
\(472\) | 5.30129 | + | 1.42048i | 0.244012 | + | 0.0653827i | ||||
\(473\) | 2.70007 | + | 0.723482i | 0.124149 | + | 0.0332657i | ||||
\(474\) | −8.36282 | − | 5.39618i | −0.384117 | − | 0.247855i | ||||
\(475\) | 14.3317 | + | 31.3510i | 0.657583 | + | 1.43848i | ||||
\(476\) | −6.75050 | − | 7.58942i | −0.309409 | − | 0.347861i | ||||
\(477\) | −1.81402 | − | 2.21354i | −0.0830583 | − | 0.101351i | ||||
\(478\) | 17.8810 | − | 4.79119i | 0.817856 | − | 0.219144i | ||||
\(479\) | 7.76447 | + | 13.4485i | 0.354768 | + | 0.614476i | 0.987078 | − | 0.160239i | \(-0.0512266\pi\) |
−0.632310 | + | 0.774715i | \(0.717893\pi\) | |||||||
\(480\) | −2.46096 | − | 2.99060i | −0.112327 | − | 0.136501i | ||||
\(481\) | 13.5624 | − | 23.4908i | 0.618392 | − | 1.07109i | ||||
\(482\) | 5.91569 | + | 5.91569i | 0.269452 | + | 0.269452i | ||||
\(483\) | −2.13323 | − | 4.83226i | −0.0970655 | − | 0.219875i | ||||
\(484\) | − | 0.768701i | − | 0.0349409i | ||||||
\(485\) | −3.12870 | − | 6.06605i | −0.142067 | − | 0.275445i | ||||
\(486\) | 4.25425 | + | 14.9967i | 0.192977 | + | 0.680265i | ||||
\(487\) | 3.17410 | + | 0.850498i | 0.143832 | + | 0.0385397i | 0.330017 | − | 0.943975i | \(-0.392946\pi\) |
−0.186185 | + | 0.982515i | \(0.559612\pi\) | |||||||
\(488\) | 0.229088 | + | 0.854968i | 0.0103703 | + | 0.0387026i | ||||
\(489\) | −10.4350 | − | 0.516289i | −0.471886 | − | 0.0233474i | ||||
\(490\) | 12.0930 | + | 9.93780i | 0.546305 | + | 0.448944i | ||||
\(491\) | 11.6805i | 0.527133i | 0.964641 | + | 0.263567i | \(0.0848989\pi\) | ||||
−0.964641 | + | 0.263567i | \(0.915101\pi\) | |||||||
\(492\) | 2.82457 | + | 13.1001i | 0.127342 | + | 0.590600i | ||||
\(493\) | 2.34113 | − | 8.73722i | 0.105439 | − | 0.393504i | ||||
\(494\) | −18.9013 | − | 32.7380i | −0.850409 | − | 1.47295i | ||||
\(495\) | −9.13271 | + | 21.1231i | −0.410485 | + | 0.949413i | ||||
\(496\) | 7.17003 | 0.321944 | ||||||||
\(497\) | 2.09261 | + | 4.16941i | 0.0938664 | + | 0.187024i | ||||
\(498\) | 12.8876 | − | 11.6724i | 0.577506 | − | 0.523054i | ||||
\(499\) | 2.51013 | + | 1.44922i | 0.112369 | + | 0.0648762i | 0.555131 | − | 0.831763i | \(-0.312668\pi\) |
−0.442762 | + | 0.896639i | \(0.646001\pi\) | |||||||
\(500\) | −4.39537 | + | 10.2801i | −0.196567 | + | 0.459741i | ||||
\(501\) | 6.63811 | + | 12.9344i | 0.296569 | + | 0.577867i | ||||
\(502\) | −7.53279 | − | 28.1127i | −0.336205 | − | 1.25473i | ||||
\(503\) | 14.8328 | − | 14.8328i | 0.661362 | − | 0.661362i | −0.294339 | − | 0.955701i | \(-0.595099\pi\) |
0.955701 | + | 0.294339i | \(0.0950994\pi\) | |||||||
\(504\) | 6.42244 | − | 4.66393i | 0.286078 | − | 0.207748i | ||||
\(505\) | 8.90263 | + | 40.8879i | 0.396162 | + | 1.81949i | ||||
\(506\) | −3.42451 | − | 1.97714i | −0.152238 | − | 0.0878947i | ||||
\(507\) | 9.05163 | − | 28.1377i | 0.401997 | − | 1.24964i | ||||
\(508\) | −1.65781 | + | 6.18702i | −0.0735533 | + | 0.274505i | ||||
\(509\) | 9.66165 | − | 16.7345i | 0.428245 | − | 0.741742i | −0.568472 | − | 0.822702i | \(-0.692465\pi\) |
0.996717 | + | 0.0809602i | \(0.0257987\pi\) | |||||||
\(510\) | 12.0974 | + | 8.64461i | 0.535681 | + | 0.382790i | ||||
\(511\) | 3.77820 | + | 18.3217i | 0.167138 | + | 0.810505i | ||||
\(512\) | 0.707107 | + | 0.707107i | 0.0312500 | + | 0.0312500i | ||||
\(513\) | 4.05692 | + | 35.5933i | 0.179118 | + | 1.57148i | ||||
\(514\) | 16.6350 | − | 9.60425i | 0.733740 | − | 0.423625i | ||||
\(515\) | −0.941233 | + | 19.8370i | −0.0414757 | + | 0.874123i | ||||
\(516\) | 1.18588 | + | 0.765201i | 0.0522055 | + | 0.0336861i | ||||
\(517\) | −21.3905 | + | 21.3905i | −0.940753 | + | 0.940753i | ||||
\(518\) | 10.9333 | + | 7.19497i | 0.480380 | + | 0.316129i | ||||
\(519\) | 1.04647 | − | 21.1507i | 0.0459349 | − | 0.928413i | ||||
\(520\) | 3.73105 | − | 11.6793i | 0.163617 | − | 0.512170i | ||||
\(521\) | 27.4522 | − | 15.8496i | 1.20270 | − | 0.694382i | 0.241549 | − | 0.970389i | \(-0.422345\pi\) |
0.961156 | + | 0.276007i | \(0.0890112\pi\) | |||||||
\(522\) | 6.61369 | + | 2.49449i | 0.289473 | + | 0.109181i | ||||
\(523\) | 15.5807 | − | 4.17483i | 0.681295 | − | 0.182552i | 0.0984575 | − | 0.995141i | \(-0.468609\pi\) |
0.582837 | + | 0.812589i | \(0.301942\pi\) | |||||||
\(524\) | −12.2129 | −0.533522 | ||||||||
\(525\) | −20.4852 | − | 10.2644i | −0.894047 | − | 0.447973i | ||||
\(526\) | 8.24568 | 0.359529 | ||||||||
\(527\) | −26.5882 | + | 7.12430i | −1.15820 | + | 0.310339i | ||||
\(528\) | 1.81962 | − | 5.65642i | 0.0791887 | − | 0.246164i | ||||
\(529\) | 18.7679 | − | 10.8357i | 0.815998 | − | 0.471117i | ||||
\(530\) | 0.649129 | − | 2.03196i | 0.0281964 | − | 0.0882628i | ||||
\(531\) | 1.62528 | − | 16.3845i | 0.0705311 | − | 0.711026i | ||||
\(532\) | 16.3025 | − | 8.18215i | 0.706802 | − | 0.354741i | ||||
\(533\) | −29.9985 | + | 29.9985i | −1.29938 | + | 1.29938i | ||||
\(534\) | −1.20514 | + | 1.86768i | −0.0521515 | + | 0.0808225i | ||||
\(535\) | 0.717831 | − | 15.1287i | 0.0310346 | − | 0.654071i | ||||
\(536\) | 3.87527 | − | 2.23739i | 0.167386 | − | 0.0966405i | ||||
\(537\) | 0.540331 | + | 2.50601i | 0.0233170 | + | 0.108142i | ||||
\(538\) | 3.73942 | + | 3.73942i | 0.161218 | + | 0.161218i | ||||
\(539\) | −2.80015 | + | 23.8501i | −0.120611 | + | 1.02729i | ||||
\(540\) | −7.65542 | + | 8.74039i | −0.329437 | + | 0.376127i | ||||
\(541\) | 3.17726 | − | 5.50318i | 0.136601 | − | 0.236600i | −0.789607 | − | 0.613613i | \(-0.789715\pi\) |
0.926208 | + | 0.377013i | \(0.123049\pi\) | |||||||
\(542\) | 5.83926 | − | 21.7924i | 0.250818 | − | 0.936065i | ||||
\(543\) | 25.7587 | + | 8.28632i | 1.10541 | + | 0.355600i | ||||
\(544\) | −3.32472 | − | 1.91953i | −0.142546 | − | 0.0822991i | ||||
\(545\) | −6.73160 | − | 30.9168i | −0.288350 | − | 1.32433i | ||||
\(546\) | 23.4296 | + | 9.07863i | 1.00270 | + | 0.388530i | ||||
\(547\) | −1.75965 | + | 1.75965i | −0.0752374 | + | 0.0752374i | −0.743724 | − | 0.668487i | \(-0.766942\pi\) |
0.668487 | + | 0.743724i | \(0.266942\pi\) | |||||||
\(548\) | −0.910941 | − | 3.39968i | −0.0389135 | − | 0.145227i | ||||
\(549\) | 2.41946 | − | 1.09421i | 0.103260 | − | 0.0466996i | ||||
\(550\) | −16.9142 | + | 2.85077i | −0.721224 | + | 0.121557i | ||||
\(551\) | 14.0678 | + | 8.12202i | 0.599307 | + | 0.346010i | ||||
\(552\) | −1.34024 | − | 1.47976i | −0.0570442 | − | 0.0629827i | ||||
\(553\) | 15.1770 | + | 0.887888i | 0.645392 | + | 0.0377569i | ||||
\(554\) | 25.1666 | 1.06923 | ||||||||
\(555\) | −17.9403 | − | 6.72510i | −0.761522 | − | 0.285465i | ||||
\(556\) | 4.66652 | + | 8.08264i | 0.197904 | + | 0.342780i | ||||
\(557\) | −12.0540 | + | 44.9860i | −0.510742 | + | 1.90612i | −0.0982317 | + | 0.995164i | \(0.531319\pi\) |
−0.412511 | + | 0.910953i | \(0.635348\pi\) | |||||||
\(558\) | −3.48908 | − | 21.2252i | −0.147705 | − | 0.898536i | ||||
\(559\) | 4.46786i | 0.188970i | ||||||||
\(560\) | 5.52074 | + | 2.12637i | 0.233294 | + | 0.0898554i | ||||
\(561\) | −1.12725 | + | 22.7834i | −0.0475925 | + | 0.961916i | ||||
\(562\) | 7.62684 | + | 28.4638i | 0.321719 | + | 1.20067i | ||||
\(563\) | −39.9714 | − | 10.7103i | −1.68459 | − | 0.451386i | −0.715609 | − | 0.698501i | \(-0.753851\pi\) |
−0.968986 | + | 0.247115i | \(0.920517\pi\) | |||||||
\(564\) | −13.5883 | + | 6.97368i | −0.572169 | + | 0.293645i | ||||
\(565\) | 5.54460 | + | 10.7501i | 0.233263 | + | 0.452260i | ||||
\(566\) | 1.04099i | 0.0437561i | ||||||||
\(567\) | −16.9318 | − | 16.7426i | −0.711068 | − | 0.703123i | ||||
\(568\) | 1.24680 | + | 1.24680i | 0.0523144 | + | 0.0523144i | ||||
\(569\) | 16.0682 | − | 27.8309i | 0.673614 | − | 1.16673i | −0.303258 | − | 0.952908i | \(-0.598074\pi\) |
0.976872 | − | 0.213825i | \(-0.0685922\pi\) | |||||||
\(570\) | −20.6180 | + | 16.9666i | −0.863595 | + | 0.710652i | ||||
\(571\) | 0.490240 | + | 0.849121i | 0.0205159 | + | 0.0355346i | 0.876101 | − | 0.482127i | \(-0.160136\pi\) |
−0.855585 | + | 0.517662i | \(0.826802\pi\) | |||||||
\(572\) | 18.1694 | − | 4.86847i | 0.759700 | − | 0.203561i | ||||
\(573\) | −17.6019 | − | 19.4343i | −0.735329 | − | 0.811879i | ||||
\(574\) | −13.6049 | − | 15.2956i | −0.567856 | − | 0.638426i | ||||
\(575\) | −2.01206 | + | 5.40070i | −0.0839085 | + | 0.225225i | ||||
\(576\) | 1.74913 | − | 2.43732i | 0.0728806 | − | 0.101555i | ||||
\(577\) | −24.0992 | − | 6.45735i | −1.00326 | − | 0.268823i | −0.280450 | − | 0.959869i | \(-0.590484\pi\) |
−0.722811 | + | 0.691046i | \(0.757150\pi\) | |||||||
\(578\) | −2.18457 | − | 0.585353i | −0.0908659 | − | 0.0243475i | ||||
\(579\) | 15.8113 | − | 24.5038i | 0.657096 | − | 1.01834i | ||||
\(580\) | 1.12087 | + | 5.14792i | 0.0465416 | + | 0.213756i | ||||
\(581\) | −8.36091 | + | 25.2100i | −0.346869 | + | 1.04589i | ||||
\(582\) | 3.91858 | − | 3.54911i | 0.162431 | − | 0.147115i | ||||
\(583\) | 3.16112 | − | 0.847018i | 0.130920 | − | 0.0350799i | ||||
\(584\) | 3.53533 | + | 6.12337i | 0.146293 | + | 0.253387i | ||||
\(585\) | −36.3894 | − | 5.36154i | −1.50452 | − | 0.221673i | ||||
\(586\) | 8.84718 | − | 15.3238i | 0.365473 | − | 0.633019i | ||||
\(587\) | −26.5508 | − | 26.5508i | −1.09587 | − | 1.09587i | −0.994888 | − | 0.100982i | \(-0.967801\pi\) |
−0.100982 | − | 0.994888i | \(-0.532199\pi\) | |||||||
\(588\) | −5.03342 | + | 11.0302i | −0.207575 | + | 0.454877i | ||||
\(589\) | − | 49.4323i | − | 2.03682i | ||||||
\(590\) | 10.9069 | − | 5.62549i | 0.449031 | − | 0.231598i | ||||
\(591\) | −3.65511 | − | 7.12200i | −0.150351 | − | 0.292960i | ||||
\(592\) | 4.77836 | + | 1.28036i | 0.196389 | + | 0.0526223i | ||||
\(593\) | −5.39739 | − | 20.1433i | −0.221644 | − | 0.827188i | −0.983721 | − | 0.179701i | \(-0.942487\pi\) |
0.762077 | − | 0.647487i | \(-0.224180\pi\) | |||||||
\(594\) | −17.6300 | − | 2.63403i | −0.723368 | − | 0.108076i | ||||
\(595\) | −22.5851 | − | 2.39956i | −0.925897 | − | 0.0983724i | ||||
\(596\) | 2.00189i | 0.0820008i | ||||||||
\(597\) | −8.51871 | + | 1.83675i | −0.348648 | + | 0.0751733i | ||||
\(598\) | 1.63581 | − | 6.10491i | 0.0668931 | − | 0.249648i | ||||
\(599\) | −14.8838 | − | 25.7795i | −0.608134 | − | 1.05332i | −0.991548 | − | 0.129743i | \(-0.958585\pi\) |
0.383413 | − | 0.923577i | \(-0.374749\pi\) | |||||||
\(600\) | −8.57029 | − | 1.24502i | −0.349881 | − | 0.0508276i | ||||
\(601\) | 13.1980 | 0.538359 | 0.269180 | − | 0.963090i | \(-0.413247\pi\) | ||||
0.269180 | + | 0.963090i | \(0.413247\pi\) | |||||||
\(602\) | −2.15216 | − | 0.125906i | −0.0877155 | − | 0.00513155i | ||||
\(603\) | −8.50906 | − | 10.3831i | −0.346516 | − | 0.422832i | ||||
\(604\) | −12.9363 | − | 7.46876i | −0.526369 | − | 0.303900i | ||||
\(605\) | −1.15645 | − | 1.27166i | −0.0470165 | − | 0.0517004i | ||||
\(606\) | −28.8377 | + | 14.7999i | −1.17145 | + | 0.601204i | ||||
\(607\) | 8.34043 | + | 31.1269i | 0.338528 | + | 1.26340i | 0.899994 | + | 0.435903i | \(0.143571\pi\) |
−0.561466 | + | 0.827500i | \(0.689763\pi\) | |||||||
\(608\) | 4.87500 | − | 4.87500i | 0.197707 | − | 0.197707i | ||||
\(609\) | −10.6696 | + | 1.65544i | −0.432355 | + | 0.0670818i | ||||
\(610\) | 1.66521 | + | 1.06973i | 0.0674226 | + | 0.0433120i | ||||
\(611\) | −41.8730 | − | 24.1754i | −1.69400 | − | 0.978032i | ||||
\(612\) | −4.06445 | + | 10.7762i | −0.164296 | + | 0.435600i | ||||
\(613\) | −10.2788 | + | 38.3608i | −0.415155 | + | 1.54938i | 0.369370 | + | 0.929282i | \(0.379573\pi\) |
−0.784525 | + | 0.620097i | \(0.787093\pi\) | |||||||
\(614\) | −15.5227 | + | 26.8861i | −0.626444 | + | 1.08503i | ||||
\(615\) | 24.3809 | + | 17.4222i | 0.983131 | + | 0.702531i | ||||
\(616\) | 1.83311 | + | 8.88935i | 0.0738582 | + | 0.358162i | ||||
\(617\) | −7.74923 | − | 7.74923i | −0.311972 | − | 0.311972i | 0.533701 | − | 0.845673i | \(-0.320801\pi\) |
−0.845673 | + | 0.533701i | \(0.820801\pi\) | |||||||
\(618\) | −15.0374 | + | 3.24227i | −0.604893 | + | 0.130423i | ||||
\(619\) | 1.24931 | − | 0.721289i | 0.0502140 | − | 0.0289911i | −0.474683 | − | 0.880157i | \(-0.657437\pi\) |
0.524897 | + | 0.851166i | \(0.324104\pi\) | |||||||
\(620\) | 11.8614 | − | 10.7868i | 0.476365 | − | 0.433207i | ||||
\(621\) | −3.72830 | + | 4.68754i | −0.149612 | + | 0.188104i | ||||
\(622\) | 7.79284 | − | 7.79284i | 0.312465 | − | 0.312465i | ||||
\(623\) | 0.198294 | − | 3.38950i | 0.00794447 | − | 0.135798i | ||||
\(624\) | 9.48553 | + | 0.469313i | 0.379725 | + | 0.0187876i | ||||
\(625\) | 8.19438 | + | 23.6189i | 0.327775 | + | 0.944756i | ||||
\(626\) | 7.95515 | − | 4.59291i | 0.317952 | − | 0.183569i | ||||
\(627\) | −38.9970 | − | 12.5450i | −1.55739 | − | 0.500998i | ||||
\(628\) | 13.6086 | − | 3.64642i | 0.543044 | − | 0.145508i | ||||
\(629\) | −18.9915 | −0.757241 | ||||||||
\(630\) | 3.60812 | − | 17.3776i | 0.143751 | − | 0.692341i | ||||
\(631\) | −17.0499 | −0.678748 | −0.339374 | − | 0.940652i | \(-0.610215\pi\) | ||||
−0.339374 | + | 0.940652i | \(0.610215\pi\) | |||||||
\(632\) | 5.55038 | − | 1.48722i | 0.220782 | − | 0.0591584i | ||||
\(633\) | −4.26877 | − | 1.37322i | −0.169668 | − | 0.0545807i | ||||
\(634\) | 4.40770 | − | 2.54478i | 0.175052 | − | 0.101066i | ||||
\(635\) | 6.56539 | + | 12.7292i | 0.260540 | + | 0.505144i | ||||
\(636\) | 1.65030 | + | 0.0816513i | 0.0654385 | + | 0.00323768i | ||||
\(637\) | −37.9798 | + | 5.54321i | −1.50482 | + | 0.219630i | ||||
\(638\) | −5.71550 | + | 5.71550i | −0.226279 | + | 0.226279i | ||||
\(639\) | 3.08414 | − | 4.29757i | 0.122007 | − | 0.170009i | ||||
\(640\) | 2.23356 | + | 0.105978i | 0.0882890 | + | 0.00418917i | ||||
\(641\) | −14.6651 | + | 8.46692i | −0.579238 | + | 0.334423i | −0.760831 | − | 0.648951i | \(-0.775208\pi\) |
0.181592 | + | 0.983374i | \(0.441875\pi\) | |||||||
\(642\) | 11.4683 | − | 2.47272i | 0.452617 | − | 0.0975905i | ||||
\(643\) | 22.8061 | + | 22.8061i | 0.899385 | + | 0.899385i | 0.995382 | − | 0.0959964i | \(-0.0306037\pi\) |
−0.0959964 | + | 0.995382i | \(0.530604\pi\) | |||||||
\(644\) | 2.89463 | + | 0.960004i | 0.114064 | + | 0.0378295i | ||||
\(645\) | 3.11299 | − | 0.518197i | 0.122574 | − | 0.0204040i | ||||
\(646\) | −13.2338 | + | 22.9216i | −0.520677 | + | 0.901838i | ||||
\(647\) | −10.2045 | + | 38.0837i | −0.401181 | + | 1.49723i | 0.409812 | + | 0.912170i | \(0.365594\pi\) |
−0.810993 | + | 0.585056i | \(0.801072\pi\) | |||||||
\(648\) | −8.06629 | − | 3.99186i | −0.316874 | − | 0.156815i | ||||
\(649\) | 16.3054 | + | 9.41395i | 0.640045 | + | 0.369530i | ||||
\(650\) | −11.3983 | − | 24.9341i | −0.447078 | − | 0.977995i | ||||
\(651\) | 20.5971 | + | 25.5999i | 0.807265 | + | 1.00334i | ||||
\(652\) | 4.26528 | − | 4.26528i | 0.167041 | − | 0.167041i | ||||
\(653\) | −8.48981 | − | 31.6844i | −0.332232 | − | 1.23991i | −0.906839 | − | 0.421477i | \(-0.861512\pi\) |
0.574607 | − | 0.818429i | \(-0.305155\pi\) | |||||||
\(654\) | 21.8052 | − | 11.1907i | 0.852651 | − | 0.437592i | ||||
\(655\) | −20.2038 | + | 18.3734i | −0.789427 | + | 0.717906i | ||||
\(656\) | −6.70060 | − | 3.86859i | −0.261614 | − | 0.151043i | ||||
\(657\) | 16.4065 | − | 13.4453i | 0.640078 | − | 0.524551i | ||||
\(658\) | 12.8252 | − | 19.4889i | 0.499980 | − | 0.759756i | ||||
\(659\) | 9.95001 | 0.387597 | 0.193799 | − | 0.981041i | \(-0.437919\pi\) | ||||
0.193799 | + | 0.981041i | \(0.437919\pi\) | |||||||
\(660\) | −5.49946 | − | 12.0949i | −0.214066 | − | 0.470793i | ||||
\(661\) | −17.3986 | − | 30.1353i | −0.676727 | − | 1.17213i | −0.975961 | − | 0.217946i | \(-0.930064\pi\) |
0.299233 | − | 0.954180i | \(-0.403269\pi\) | |||||||
\(662\) | −8.80396 | + | 32.8568i | −0.342176 | + | 1.27702i | ||||
\(663\) | −35.6410 | + | 7.68470i | −1.38418 | + | 0.298449i | ||||
\(664\) | 10.0388i | 0.389583i | ||||||||
\(665\) | 14.6598 | − | 38.0616i | 0.568482 | − | 1.47596i | ||||
\(666\) | 1.46496 | − | 14.7683i | 0.0567660 | − | 0.572259i | ||||
\(667\) | 0.702917 | + | 2.62332i | 0.0272171 | + | 0.101575i | ||||
\(668\) | −8.10770 | − | 2.17245i | −0.313697 | − | 0.0840547i | ||||
\(669\) | 8.64379 | + | 16.8425i | 0.334188 | + | 0.651168i | ||||
\(670\) | 3.04488 | − | 9.53136i | 0.117634 | − | 0.368229i | ||||
\(671\) | 3.03648i | 0.117222i | ||||||||
\(672\) | −0.493374 | + | 4.55594i | −0.0190323 | + | 0.175749i | ||||
\(673\) | −27.9121 | − | 27.9121i | −1.07593 | − | 1.07593i | −0.996870 | − | 0.0790609i | \(-0.974808\pi\) |
−0.0790609 | − | 0.996870i | \(-0.525192\pi\) | |||||||
\(674\) | −13.4577 | + | 23.3094i | −0.518370 | + | 0.897843i | ||||
\(675\) | 0.484892 | + | 25.9762i | 0.0186635 | + | 0.999826i | ||||
\(676\) | 8.53259 | + | 14.7789i | 0.328177 | + | 0.568419i | ||||
\(677\) | 11.3933 | − | 3.05281i | 0.437878 | − | 0.117329i | −0.0331437 | − | 0.999451i | \(-0.510552\pi\) |
0.471022 | + | 0.882121i | \(0.343885\pi\) | |||||||
\(678\) | −6.94440 | + | 6.28963i | −0.266698 | + | 0.241552i | ||||
\(679\) | −2.54221 | + | 7.66533i | −0.0975610 | + | 0.294168i | ||||
\(680\) | −8.38787 | + | 1.82631i | −0.321660 | + | 0.0700360i | ||||
\(681\) | −7.11717 | + | 11.0299i | −0.272730 | + | 0.422668i | ||||
\(682\) | 23.7591 | + | 6.36622i | 0.909781 | + | 0.243775i | ||||
\(683\) | −35.6240 | − | 9.54542i | −1.36311 | − | 0.365245i | −0.498155 | − | 0.867088i | \(-0.665989\pi\) |
−0.864959 | + | 0.501843i | \(0.832656\pi\) | |||||||
\(684\) | −16.8036 | − | 12.0590i | −0.642501 | − | 0.461089i | ||||
\(685\) | −6.62153 | − | 4.25365i | −0.252996 | − | 0.162524i | ||||
\(686\) | −1.59987 | − | 18.4510i | −0.0610832 | − | 0.704464i | ||||
\(687\) | 5.44937 | + | 6.01667i | 0.207906 | + | 0.229550i | ||||
\(688\) | −0.787066 | + | 0.210894i | −0.0300066 | + | 0.00804024i | ||||
\(689\) | 2.61538 | + | 4.52997i | 0.0996379 | + | 0.172578i | ||||
\(690\) | −4.44334 | − | 0.431684i | −0.169155 | − | 0.0164339i | ||||
\(691\) | −7.51839 | + | 13.0222i | −0.286013 | + | 0.495389i | −0.972854 | − | 0.231418i | \(-0.925663\pi\) |
0.686841 | + | 0.726807i | \(0.258997\pi\) | |||||||
\(692\) | 8.64531 | + | 8.64531i | 0.328645 | + | 0.328645i | ||||
\(693\) | 25.4229 | − | 9.75225i | 0.965735 | − | 0.370457i | ||||
\(694\) | 27.3632i | 1.03869i | ||||||||
\(695\) | 19.8795 | + | 6.35070i | 0.754074 | + | 0.240896i | ||||
\(696\) | −3.63075 | + | 1.86335i | −0.137623 | + | 0.0706302i | ||||
\(697\) | 28.6914 | + | 7.68783i | 1.08676 | + | 0.291197i | ||||
\(698\) | 1.95026 | + | 7.27846i | 0.0738183 | + | 0.275494i | ||||
\(699\) | 0.160838 | − | 3.25078i | 0.00608344 | − | 0.122956i | ||||
\(700\) | 12.3319 | − | 4.78789i | 0.466103 | − | 0.180965i | ||||
\(701\) | 7.15756i | 0.270337i | 0.990823 | + | 0.135169i | \(0.0431576\pi\) | ||||
−0.990823 | + | 0.135169i | \(0.956842\pi\) | |||||||
\(702\) | −3.22656 | − | 28.3081i | −0.121778 | − | 1.06842i | ||||
\(703\) | 8.82715 | − | 32.9434i | 0.332922 | − | 1.24248i | ||||
\(704\) | 1.71528 | + | 2.97095i | 0.0646469 | + | 0.111972i | ||||
\(705\) | −11.9877 | + | 31.9791i | −0.451483 | + | 1.20440i | ||||
\(706\) | 14.9295 | 0.561880 | ||||||||
\(707\) | 27.2183 | − | 41.3602i | 1.02365 | − | 1.55551i | ||||
\(708\) | 6.38139 | + | 7.04572i | 0.239827 | + | 0.264794i | ||||
\(709\) | 13.4922 | + | 7.78971i | 0.506709 | + | 0.292549i | 0.731480 | − | 0.681863i | \(-0.238830\pi\) |
−0.224771 | + | 0.974412i | \(0.572163\pi\) | |||||||
\(710\) | 3.93829 | + | 0.186865i | 0.147801 | + | 0.00701292i | ||||
\(711\) | −7.10350 | − | 15.7069i | −0.266402 | − | 0.589055i | ||||
\(712\) | −0.332143 | − | 1.23958i | −0.0124476 | − | 0.0464550i | ||||
\(713\) | 5.84399 | − | 5.84399i | 0.218859 | − | 0.218859i | ||||
\(714\) | −2.69733 | − | 17.3848i | −0.100945 | − | 0.650609i | ||||
\(715\) | 22.7334 | − | 35.3883i | 0.850179 | − | 1.32345i | ||||
\(716\) | −1.28180 | − | 0.740048i | −0.0479032 | − | 0.0276569i | ||||
\(717\) | 30.5228 | + | 9.81890i | 1.13990 | + | 0.366694i | ||||
\(718\) | −8.01962 | + | 29.9296i | −0.299290 | + | 1.11696i | ||||
\(719\) | −2.68898 | + | 4.65745i | −0.100282 | + | 0.173694i | −0.911801 | − | 0.410633i | \(-0.865308\pi\) |
0.811519 | + | 0.584326i | \(0.198641\pi\) | |||||||
\(720\) | −0.773168 | − | 6.66350i | −0.0288143 | − | 0.248334i | ||||
\(721\) | 17.5575 | − | 15.6168i | 0.653877 | − | 0.581599i | ||||
\(722\) | −20.1746 | − | 20.1746i | −0.750822 | − | 0.750822i | ||||
\(723\) | 3.05415 | + | 14.1649i | 0.113585 | + | 0.526799i | ||||
\(724\) | −13.5293 | + | 7.81117i | −0.502814 | + | 0.290300i | ||||
\(725\) | 9.59891 | + | 6.82994i | 0.356495 | + | 0.253658i | ||||
\(726\) | 0.721881 | − | 1.11875i | 0.0267915 | − | 0.0415205i | ||||
\(727\) | 26.8316 | − | 26.8316i | 0.995128 | − | 0.995128i | −0.00486049 | − | 0.999988i | \(-0.501547\pi\) |
0.999988 | + | 0.00486049i | \(0.00154715\pi\) | |||||||
\(728\) | −12.9657 | + | 6.50743i | −0.480541 | + | 0.241182i | ||||
\(729\) | −7.89178 | + | 25.8209i | −0.292288 | + | 0.956330i | ||||
\(730\) | 15.0606 | + | 4.81126i | 0.557420 | + | 0.178073i | ||||
\(731\) | 2.70909 | − | 1.56409i | 0.100199 | − | 0.0578500i | ||||
\(732\) | −0.469485 | + | 1.45943i | −0.0173527 | + | 0.0539421i | ||||
\(733\) | 26.5233 | − | 7.10691i | 0.979662 | − | 0.262500i | 0.266760 | − | 0.963763i | \(-0.414047\pi\) |
0.712902 | + | 0.701263i | \(0.247380\pi\) | |||||||
\(734\) | 10.0105 | 0.369493 | ||||||||
\(735\) | 8.26727 | + | 25.8196i | 0.304943 | + | 0.952371i | ||||
\(736\) | 1.15267 | 0.0424878 | ||||||||
\(737\) | 14.8279 | − | 3.97312i | 0.546193 | − | 0.146352i | ||||
\(738\) | −8.19143 | + | 21.7181i | −0.301531 | + | 0.799455i | ||||
\(739\) | −31.1498 | + | 17.9843i | −1.14586 | + | 0.661565i | −0.947876 | − | 0.318640i | \(-0.896774\pi\) |
−0.197988 | + | 0.980205i | \(0.563441\pi\) | |||||||
\(740\) | 9.83103 | − | 5.07058i | 0.361396 | − | 0.186398i | ||||
\(741\) | 3.23558 | − | 65.3960i | 0.118862 | − | 2.40238i | ||||
\(742\) | −2.25578 | + | 1.13217i | −0.0828123 | + | 0.0415631i | ||||
\(743\) | 11.3545 | − | 11.3545i | 0.416555 | − | 0.416555i | −0.467459 | − | 0.884015i | \(-0.654831\pi\) |
0.884015 | + | 0.467459i | \(0.154831\pi\) | |||||||
\(744\) | 10.4351 | + | 6.73332i | 0.382568 | + | 0.246855i | ||||
\(745\) | 3.01170 | + | 3.31173i | 0.110340 | + | 0.121333i | ||||
\(746\) | 12.3892 | − | 7.15292i | 0.453602 | − | 0.261887i | ||||
\(747\) | 29.7177 | − | 4.88510i | 1.08731 | − | 0.178737i | ||||
\(748\) | −9.31267 | − | 9.31267i | −0.340505 | − | 0.340505i | ||||
\(749\) | −13.3903 | + | 11.9101i | −0.489269 | + | 0.435186i | ||||
\(750\) | −16.0509 | + | 10.8337i | −0.586095 | + | 0.395592i | ||||
\(751\) | −1.62249 | + | 2.81024i | −0.0592056 | + | 0.102547i | −0.894109 | − | 0.447849i | \(-0.852190\pi\) |
0.834903 | + | 0.550396i | \(0.185523\pi\) | |||||||
\(752\) | 2.28227 | − | 8.51756i | 0.0832260 | − | 0.310604i | ||||
\(753\) | 15.4374 | − | 47.9885i | 0.562572 | − | 1.74880i | ||||
\(754\) | −11.1884 | − | 6.45961i | −0.407457 | − | 0.235245i | ||||
\(755\) | −32.6367 | + | 7.10607i | −1.18777 | + | 0.258616i | ||||
\(756\) | 13.7269 | − | 0.756491i | 0.499242 | − | 0.0275133i | ||||
\(757\) | −3.87448 | + | 3.87448i | −0.140820 | + | 0.140820i | −0.774003 | − | 0.633182i | \(-0.781748\pi\) |
0.633182 | + | 0.774003i | \(0.281748\pi\) | |||||||
\(758\) | 0.775475 | + | 2.89411i | 0.0281665 | + | 0.105119i | ||||
\(759\) | −3.12722 | − | 6.09340i | −0.113511 | − | 0.221177i | ||||
\(760\) | 0.730646 | − | 15.3988i | 0.0265033 | − | 0.558572i | ||||
\(761\) | −9.71823 | − | 5.61082i | −0.352286 | − | 0.203392i | 0.313406 | − | 0.949619i | \(-0.398530\pi\) |
−0.665691 | + | 0.746227i | \(0.731863\pi\) | |||||||
\(762\) | −8.22291 | + | 7.44759i | −0.297885 | + | 0.269798i | ||||
\(763\) | −20.5808 | + | 31.2740i | −0.745074 | + | 1.13219i | ||||
\(764\) | 15.1384 | 0.547690 | ||||||||
\(765\) | 9.48809 | + | 23.9417i | 0.343043 | + | 0.865612i | ||||
\(766\) | −4.19278 | − | 7.26211i | −0.151491 | − | 0.262391i | ||||
\(767\) | −7.78872 | + | 29.0679i | −0.281234 | + | 1.04958i | ||||
\(768\) | 0.365065 | + | 1.69314i | 0.0131731 | + | 0.0610960i | ||||
\(769\) | − | 23.3486i | − | 0.841972i | −0.907067 | − | 0.420986i | \(-0.861684\pi\) | ||
0.907067 | − | 0.420986i | \(-0.138316\pi\) | |||||||
\(770\) | 16.4059 | + | 11.9479i | 0.591227 | + | 0.430572i | ||||
\(771\) | 33.2294 | + | 1.64408i | 1.19673 | + | 0.0592103i | ||||
\(772\) | 4.35769 | + | 16.2631i | 0.156837 | + | 0.585323i | ||||
\(773\) | −21.2075 | − | 5.68254i | −0.762782 | − | 0.204387i | −0.143602 | − | 0.989636i | \(-0.545868\pi\) |
−0.619181 | + | 0.785249i | \(0.712535\pi\) | |||||||
\(774\) | 1.00730 | + | 2.22730i | 0.0362068 | + | 0.0800587i | ||||
\(775\) | 3.39442 | − | 35.6891i | 0.121931 | − | 1.28199i | ||||
\(776\) | 3.05240i | 0.109575i | ||||||||
\(777\) | 9.15524 | + | 20.7387i | 0.328442 | + | 0.743997i | ||||
\(778\) | −18.5178 | − | 18.5178i | −0.663895 | − | 0.663895i | ||||
\(779\) | −26.6712 | + | 46.1958i | −0.955594 | + | 1.65514i | ||||
\(780\) | 16.3980 | − | 13.4939i | 0.587141 | − | 0.483158i | ||||
\(781\) | 3.02444 | + | 5.23848i | 0.108223 | + | 0.187448i | ||||
\(782\) | −4.27437 | + | 1.14531i | −0.152851 | + | 0.0409563i | ||||
\(783\) | 7.28282 | + | 9.84127i | 0.260267 | + | 0.351698i | ||||
\(784\) | −2.76924 | − | 6.42894i | −0.0989015 | − | 0.229605i | ||||
\(785\) | 17.0270 | − | 26.5054i | 0.607720 | − | 0.946020i | ||||
\(786\) | −17.7743 | − | 11.4690i | −0.633988 | − | 0.409086i | ||||
\(787\) | −41.0323 | − | 10.9946i | −1.46264 | − | 0.391914i | −0.562241 | − | 0.826973i | \(-0.690061\pi\) |
−0.900402 | + | 0.435060i | \(0.856727\pi\) | |||||||
\(788\) | 4.46430 | + | 1.19621i | 0.159034 | + | 0.0426131i | ||||
\(789\) | 12.0005 | + | 7.74345i | 0.427230 | + | 0.275674i | ||||
\(790\) | 6.94458 | − | 10.8104i | 0.247077 | − | 0.384618i | ||||
\(791\) | 4.50523 | − | 13.5843i | 0.160188 | − | 0.483001i | ||||
\(792\) | 7.96012 | − | 6.52341i | 0.282850 | − | 0.231799i | ||||
\(793\) | −4.68794 | + | 1.25613i | −0.166474 | + | 0.0446064i | ||||
\(794\) | −3.48376 | − | 6.03404i | −0.123634 | − | 0.214140i | ||||
\(795\) | 2.85292 | − | 2.34767i | 0.101183 | − | 0.0832633i | ||||
\(796\) | 2.51565 | − | 4.35724i | 0.0891649 | − | 0.154438i | ||||
\(797\) | −7.12389 | − | 7.12389i | −0.252341 | − | 0.252341i | 0.569589 | − | 0.821930i | \(-0.307103\pi\) |
−0.821930 | + | 0.569589i | \(0.807103\pi\) | |||||||
\(798\) | 31.4100 | + | 3.40146i | 1.11190 | + | 0.120410i | ||||
\(799\) | 33.8529i | 1.19763i | ||||||||
\(800\) | 3.85441 | − | 3.18489i | 0.136274 | − | 0.112603i | ||||
\(801\) | −3.50785 | + | 1.58644i | −0.123944 | + | 0.0560539i | ||||
\(802\) | −18.6302 | − | 4.99194i | −0.657855 | − | 0.176272i | ||||
\(803\) | 6.27799 | + | 23.4298i | 0.221545 | + | 0.826819i | ||||
\(804\) | 7.74107 | + | 0.383003i | 0.273007 | + | 0.0135075i | ||||
\(805\) | 6.23283 | − | 2.76661i | 0.219679 | − | 0.0975103i | ||||
\(806\) | 39.3145i | 1.38479i | ||||||||
\(807\) | 1.93059 | + | 8.95390i | 0.0679599 | + | 0.315192i | ||||
\(808\) | 4.84355 | − | 18.0764i | 0.170396 | − | 0.635925i | ||||
\(809\) | 23.4131 | + | 40.5526i | 0.823159 | + | 1.42575i | 0.903318 | + | 0.428971i | \(0.141124\pi\) |
−0.0801590 | + | 0.996782i | \(0.525543\pi\) | |||||||
\(810\) | −19.3495 | + | 5.53138i | −0.679873 | + | 0.194353i | ||||
\(811\) | −18.0213 | −0.632815 | −0.316408 | − | 0.948623i | \(-0.602477\pi\) | ||||
−0.316408 | + | 0.948623i | \(0.602477\pi\) | |||||||
\(812\) | 3.42688 | − | 5.20739i | 0.120260 | − | 0.182744i | ||||
\(813\) | 28.9634 | − | 26.2325i | 1.01579 | − | 0.920013i | ||||
\(814\) | 14.6970 | + | 8.48533i | 0.515131 | + | 0.297411i | ||||
\(815\) | 0.639263 | − | 13.4728i | 0.0223924 | − | 0.471933i | ||||
\(816\) | −3.03609 | − | 5.91585i | −0.106284 | − | 0.207096i | ||||
\(817\) | 1.45396 | + | 5.42626i | 0.0508677 | + | 0.189841i | ||||
\(818\) | 24.7610 | − | 24.7610i | 0.865747 | − | 0.865747i | ||||
\(819\) | 25.5731 | + | 35.2154i | 0.893598 | + | 1.23052i | ||||
\(820\) | −16.9048 | + | 3.68073i | −0.590341 | + | 0.128537i | ||||
\(821\) | 27.1356 | + | 15.6667i | 0.947039 | + | 0.546773i | 0.892160 | − | 0.451720i | \(-0.149189\pi\) |
0.0548791 | + | 0.998493i | \(0.482523\pi\) | |||||||
\(822\) | 1.86685 | − | 5.80326i | 0.0651140 | − | 0.202412i | ||||
\(823\) | −0.0837114 | + | 0.312415i | −0.00291799 | + | 0.0108901i | −0.967369 | − | 0.253370i | \(-0.918461\pi\) |
0.964451 | + | 0.264260i | \(0.0851277\pi\) | |||||||
\(824\) | 4.44068 | − | 7.69148i | 0.154698 | − | 0.267946i | ||||
\(825\) | −27.2936 | − | 11.7351i | −0.950241 | − | 0.408562i | ||||
\(826\) | −13.7825 | − | 4.57096i | −0.479553 | − | 0.159044i | ||||
\(827\) | 31.9770 | + | 31.9770i | 1.11195 | + | 1.11195i | 0.992887 | + | 0.119062i | \(0.0379887\pi\) |
0.119062 | + | 0.992887i | \(0.462011\pi\) | |||||||
\(828\) | −0.560910 | − | 3.41220i | −0.0194930 | − | 0.118582i | ||||
\(829\) | 35.8756 | − | 20.7128i | 1.24601 | − | 0.719385i | 0.275700 | − | 0.961244i | \(-0.411090\pi\) |
0.970311 | + | 0.241859i | \(0.0777572\pi\) | |||||||
\(830\) | 15.1027 | + | 16.6073i | 0.524222 | + | 0.576447i | ||||
\(831\) | 36.6267 | + | 23.6337i | 1.27057 | + | 0.819845i | ||||
\(832\) | −3.87719 | + | 3.87719i | −0.134417 | + | 0.134417i | ||||
\(833\) | 16.6570 | + | 21.0885i | 0.577130 | + | 0.730674i | ||||
\(834\) | −0.798829 | + | 16.1455i | −0.0276612 | + | 0.559074i | ||||
\(835\) | −16.6809 | + | 8.60354i | −0.577265 | + | 0.297738i | ||||
\(836\) | 20.4826 | − | 11.8256i | 0.708405 | − | 0.408998i | ||||
\(837\) | 14.8545 | − | 34.1672i | 0.513448 | − | 1.18099i | ||||
\(838\) | −8.60727 | + | 2.30631i | −0.297333 | + | 0.0796702i | ||||
\(839\) | 17.8925 | 0.617717 | 0.308858 | − | 0.951108i | \(-0.400053\pi\) | ||||
0.308858 | + | 0.951108i | \(0.400053\pi\) | |||||||
\(840\) | 6.03788 | + | 8.27913i | 0.208327 | + | 0.285657i | ||||
\(841\) | −23.4485 | −0.808569 | ||||||||
\(842\) | −18.1608 | + | 4.86616i | −0.625861 | + | 0.167699i | ||||
\(843\) | −15.6302 | + | 48.5876i | −0.538332 | + | 1.67345i | ||||
\(844\) | 2.24210 | − | 1.29448i | 0.0771764 | − | 0.0445578i | ||||
\(845\) | 36.3492 | + | 11.6121i | 1.25045 | + | 0.399467i | ||||
\(846\) | −26.3249 | − | 2.61133i | −0.905068 | − | 0.0897794i | ||||
\(847\) | −0.118778 | + | 2.03032i | −0.00408127 | + | 0.0697626i | ||||
\(848\) | −0.674555 | + | 0.674555i | −0.0231643 | + | 0.0231643i | ||||
\(849\) | −0.977585 | + | 1.51503i | −0.0335506 | + | 0.0519956i | ||||
\(850\) | −11.1285 | + | 15.6402i | −0.381705 | + | 0.536454i | ||||
\(851\) | 4.93820 | − | 2.85107i | 0.169279 | − | 0.0977335i | ||||
\(852\) | 0.643696 | + | 2.98541i | 0.0220527 | + | 0.102278i | ||||
\(853\) | 38.0442 | + | 38.0442i | 1.30261 | + | 1.30261i | 0.926627 | + | 0.375983i | \(0.122695\pi\) |
0.375983 | + | 0.926627i | \(0.377305\pi\) | |||||||
\(854\) | −0.472967 | − | 2.29357i | −0.0161846 | − | 0.0784844i | ||||
\(855\) | −45.9401 | + | 5.33044i | −1.57112 | + | 0.182297i | ||||
\(856\) | −3.38669 | + | 5.86591i | −0.115755 | + | 0.200493i | ||||
\(857\) | −1.09133 | + | 4.07290i | −0.0372791 | + | 0.139127i | −0.982057 | − | 0.188583i | \(-0.939610\pi\) |
0.944778 | + | 0.327711i | \(0.106277\pi\) | |||||||
\(858\) | 31.0151 | + | 9.97728i | 1.05884 | + | 0.340619i | ||||
\(859\) | −34.2434 | − | 19.7704i | −1.16837 | − | 0.674558i | −0.215073 | − | 0.976598i | \(-0.568999\pi\) |
−0.953295 | + | 0.302040i | \(0.902332\pi\) | |||||||
\(860\) | −0.984770 | + | 1.53296i | −0.0335804 | + | 0.0522736i | ||||
\(861\) | −5.43615 | − | 35.0370i | −0.185264 | − | 1.19406i | ||||
\(862\) | −23.3431 | + | 23.3431i | −0.795069 | + | 0.795069i | ||||
\(863\) | −4.83143 | − | 18.0311i | −0.164464 | − | 0.613787i | −0.998108 | − | 0.0614855i | \(-0.980416\pi\) |
0.833644 | − | 0.552302i | \(-0.186250\pi\) | |||||||
\(864\) | 4.83451 | − | 1.90461i | 0.164473 | − | 0.0647961i | ||||
\(865\) | 27.3081 | + | 1.29573i | 0.928504 | + | 0.0440560i | ||||
\(866\) | 34.1713 | + | 19.7288i | 1.16119 | + | 0.670411i | ||||
\(867\) | −2.62965 | − | 2.90341i | −0.0893078 | − | 0.0986051i | ||||
\(868\) | −18.9377 | − | 1.10790i | −0.642789 | − | 0.0376046i | ||||
\(869\) | 19.7126 | 0.668703 | ||||||||
\(870\) | −3.20309 | + | 8.54474i | −0.108595 | + | 0.289694i | ||||
\(871\) | 12.2680 | + | 21.2488i | 0.415685 | + | 0.719988i | ||||
\(872\) | −3.66239 | + | 13.6682i | −0.124024 | + | 0.462864i | ||||
\(873\) | 9.03593 | − | 1.48536i | 0.305820 | − | 0.0502718i | ||||
\(874\) | − | 7.94681i | − | 0.268805i | ||||||
\(875\) | 13.1977 | − | 26.4730i | 0.446163 | − | 0.894952i | ||||
\(876\) | −0.605189 | + | 12.2318i | −0.0204474 | + | 0.413274i | ||||
\(877\) | −12.7584 | − | 47.6148i | −0.430819 | − | 1.60784i | −0.750878 | − | 0.660440i | \(-0.770370\pi\) |
0.320060 | − | 0.947397i | \(-0.396297\pi\) | |||||||
\(878\) | −15.4413 | − | 4.13747i | −0.521117 | − | 0.139633i | ||||
\(879\) | 27.2663 | − | 13.9935i | 0.919671 | − | 0.471987i | ||||
\(880\) | 7.30715 | + | 2.33433i | 0.246324 | + | 0.0786904i | ||||
\(881\) | − | 58.4991i | − | 1.97089i | −0.170007 | − | 0.985443i | \(-0.554379\pi\) | ||
0.170007 | − | 0.985443i | \(-0.445621\pi\) | |||||||
\(882\) | −17.6838 | + | 11.3262i | −0.595446 | + | 0.381371i | ||||
\(883\) | −4.87858 | − | 4.87858i | −0.164177 | − | 0.164177i | 0.620237 | − | 0.784414i | \(-0.287036\pi\) |
−0.784414 | + | 0.620237i | \(0.787036\pi\) | |||||||
\(884\) | 10.5251 | − | 18.2300i | 0.353998 | − | 0.613142i | ||||
\(885\) | 21.1565 | + | 2.05542i | 0.711167 | + | 0.0690921i | ||||
\(886\) | −9.44625 | − | 16.3614i | −0.317353 | − | 0.549671i | ||||
\(887\) | −43.3986 | + | 11.6286i | −1.45718 | + | 0.390451i | −0.898515 | − | 0.438942i | \(-0.855353\pi\) |
−0.558666 | + | 0.829393i | \(0.688687\pi\) | |||||||
\(888\) | 5.75191 | + | 6.35071i | 0.193022 | + | 0.213116i | ||||
\(889\) | 5.33467 | − | 16.0852i | 0.178919 | − | 0.539481i | ||||
\(890\) | −2.41431 | − | 1.55095i | −0.0809279 | − | 0.0519878i | ||||
\(891\) | −23.1846 | − | 20.3897i | −0.776713 | − | 0.683080i | ||||
\(892\) | −10.5574 | − | 2.82885i | −0.353488 | − | 0.0947169i | ||||
\(893\) | −58.7226 | − | 15.7347i | −1.96508 | − | 0.526540i | ||||
\(894\) | −1.87996 | + | 2.91350i | −0.0628753 | + | 0.0974420i | ||||
\(895\) | −3.23383 | + | 0.704110i | −0.108095 | + | 0.0235358i | ||||
\(896\) | −1.75837 | − | 1.97690i | −0.0587432 | − | 0.0660435i | ||||
\(897\) | 8.11378 | − | 7.34874i | 0.270911 | − | 0.245367i | ||||
\(898\) | 6.55599 | − | 1.75667i | 0.218776 | − | 0.0586209i | ||||
\(899\) | −8.44687 | − | 14.6304i | −0.281719 | − | 0.487951i | ||||
\(900\) | −11.3038 | − | 9.86025i | −0.376793 | − | 0.328675i | ||||
\(901\) | 1.83116 | − | 3.17167i | 0.0610049 | − | 0.105664i | ||||
\(902\) | −18.7686 | − | 18.7686i | −0.624926 | − | 0.624926i | ||||
\(903\) | −3.01395 | − | 2.20432i | −0.100298 | − | 0.0733550i | ||||
\(904\) | − | 5.40938i | − | 0.179913i | ||||||
\(905\) | −10.6303 | + | 33.2759i | −0.353362 | + | 1.10613i | ||||
\(906\) | −11.8132 | − | 23.0182i | −0.392468 | − | 0.764727i | ||||
\(907\) | 52.6001 | + | 14.0941i | 1.74656 | + | 0.467988i | 0.983886 | − | 0.178798i | \(-0.0572210\pi\) |
0.762671 | + | 0.646787i | \(0.223888\pi\) | |||||||
\(908\) | −1.96153 | − | 7.32054i | −0.0650957 | − | 0.242941i | ||||
\(909\) | −55.8679 | − | 5.54189i | −1.85302 | − | 0.183813i | ||||
\(910\) | −11.6592 | + | 30.2712i | −0.386500 | + | 1.00348i | ||||
\(911\) | 7.37432i | 0.244322i | 0.992510 | + | 0.122161i | \(0.0389824\pi\) | ||||
−0.992510 | + | 0.122161i | \(0.961018\pi\) | |||||||
\(912\) | 11.6730 | − | 2.51686i | 0.386532 | − | 0.0833417i | ||||
\(913\) | −8.91342 | + | 33.2653i | −0.294991 | + | 1.10092i | ||||
\(914\) | −2.65569 | − | 4.59979i | −0.0878424 | − | 0.152147i | ||||
\(915\) | 1.41893 | + | 3.12064i | 0.0469085 | + | 0.103165i | ||||
\(916\) | −4.68671 | −0.154853 | ||||||||
\(917\) | 32.2571 | + | 1.88711i | 1.06522 | + | 0.0623180i | ||||
\(918\) | −16.0351 | + | 11.8664i | −0.529237 | + | 0.391650i | ||||
\(919\) | −39.9069 | − | 23.0403i | −1.31641 | − | 0.760028i | −0.333258 | − | 0.942836i | \(-0.608148\pi\) |
−0.983149 | + | 0.182808i | \(0.941481\pi\) | |||||||
\(920\) | 1.90686 | − | 1.73410i | 0.0628672 | − | 0.0571715i | ||||
\(921\) | −47.8397 | + | 24.5520i | −1.57637 | + | 0.809016i | ||||
\(922\) | −7.27251 | − | 27.1414i | −0.239507 | − | 0.893854i | ||||
\(923\) | −6.83640 | + | 6.83640i | −0.225023 | + | 0.225023i | ||||
\(924\) | −5.68006 | + | 14.6588i | −0.186860 | + | 0.482238i | ||||
\(925\) | 8.63518 | − | 23.1783i | 0.283923 | − | 0.762098i | ||||
\(926\) | 9.33045 | + | 5.38694i | 0.306617 | + | 0.177026i | ||||
\(927\) | −24.9298 | − | 9.40279i | −0.818802 | − | 0.308828i | ||||
\(928\) | 0.609819 | − | 2.27587i | 0.0200183 | − | 0.0747093i | ||||
\(929\) | 1.40166 | − | 2.42774i | 0.0459869 | − | 0.0796516i | −0.842116 | − | 0.539297i | \(-0.818690\pi\) |
0.888103 | + | 0.459645i | \(0.152023\pi\) | |||||||
\(930\) | 27.3925 | − | 4.55983i | 0.898235 | − | 0.149523i | ||||
\(931\) | −44.3230 | + | 19.0920i | −1.45263 | + | 0.625714i | ||||
\(932\) | 1.32875 | + | 1.32875i | 0.0435246 | + | 0.0435246i | ||||
\(933\) | 18.6597 | − | 4.02329i | 0.610890 | − | 0.131717i | ||||
\(934\) | 7.93138 | − | 4.57919i | 0.259523 | − | 0.149836i | ||||
\(935\) | −29.4161 | − | 1.39575i | −0.962011 | − | 0.0456458i | ||||
\(936\) | 13.3642 | + | 9.59081i | 0.436824 | + | 0.313485i | ||||
\(937\) | 9.16753 | − | 9.16753i | 0.299490 | − | 0.299490i | −0.541324 | − | 0.840814i | \(-0.682077\pi\) |
0.840814 | + | 0.541324i | \(0.182077\pi\) | |||||||
\(938\) | −10.5812 | + | 5.31067i | −0.345489 | + | 0.173400i | ||||
\(939\) | 15.8909 | + | 0.786228i | 0.518578 | + | 0.0256576i | ||||
\(940\) | −9.03846 | − | 17.5241i | −0.294802 | − | 0.571574i | ||||
\(941\) | 16.1104 | − | 9.30133i | 0.525183 | − | 0.303215i | −0.213869 | − | 0.976862i | \(-0.568607\pi\) |
0.739053 | + | 0.673648i | \(0.235273\pi\) | |||||||
\(942\) | 23.2300 | + | 7.47286i | 0.756873 | + | 0.243479i | ||||
\(943\) | −8.61450 | + | 2.30825i | −0.280527 | + | 0.0751669i | ||||
\(944\) | −5.48830 | −0.178629 | ||||||||
\(945\) | 21.5703 | − | 21.9025i | 0.701683 | − | 0.712490i | ||||
\(946\) | −2.79532 | −0.0908837 | ||||||||
\(947\) | 4.48811 | − | 1.20259i | 0.145844 | − | 0.0390788i | −0.185158 | − | 0.982709i | \(-0.559280\pi\) |
0.331002 | + | 0.943630i | \(0.392613\pi\) | |||||||
\(948\) | 9.47450 | + | 3.04786i | 0.307717 | + | 0.0989898i | ||||
\(949\) | −33.5755 | + | 19.3848i | −1.08991 | + | 0.629258i | ||||
\(950\) | −21.9576 | − | 26.5734i | −0.712398 | − | 0.862155i | ||||
\(951\) | 8.80462 | + | 0.435624i | 0.285509 | + | 0.0141261i | ||||
\(952\) | 8.48477 | + | 5.58366i | 0.274993 | + | 0.180967i | ||||
\(953\) | 12.6014 | − | 12.6014i | 0.408198 | − | 0.408198i | −0.472912 | − | 0.881110i | \(-0.656797\pi\) |
0.881110 | + | 0.472912i | \(0.156797\pi\) | |||||||
\(954\) | 2.32512 | + | 1.66861i | 0.0752784 | + | 0.0540233i | ||||
\(955\) | 25.0435 | − | 22.7746i | 0.810390 | − | 0.736970i | ||||
\(956\) | −16.0316 | + | 9.25587i | −0.518500 | + | 0.299356i | ||||
\(957\) | −13.6855 | + | 2.95079i | −0.442391 | + | 0.0953857i | ||||
\(958\) | −10.9806 | − | 10.9806i | −0.354768 | − | 0.354768i | ||||
\(959\) | 1.88070 | + | 9.12011i | 0.0607309 | + | 0.294504i | ||||
\(960\) | 3.15113 | + | 2.25175i | 0.101702 | + | 0.0726750i | ||||
\(961\) | −10.2047 | + | 17.6750i | −0.329183 | + | 0.570162i | ||||
\(962\) | −7.02042 | + | 26.2006i | −0.226347 | + | 0.844740i | ||||
\(963\) | 19.0127 | + | 7.17103i | 0.612676 | + | 0.231083i | ||||
\(964\) | −7.24521 | − | 4.18303i | −0.233353 | − | 0.134726i | ||||
\(965\) | 31.6756 | + | 20.3483i | 1.01967 | + | 0.655034i | ||||
\(966\) | 3.31123 | + | 4.11548i | 0.106537 | + | 0.132413i | ||||
\(967\) | 22.1599 | − | 22.1599i | 0.712613 | − | 0.712613i | −0.254468 | − | 0.967081i | \(-0.581900\pi\) |
0.967081 | + | 0.254468i | \(0.0819003\pi\) | |||||||
\(968\) | 0.198954 | + | 0.742508i | 0.00639464 | + | 0.0238651i | ||||
\(969\) | −40.7856 | + | 20.9317i | −1.31022 | + | 0.672423i | ||||
\(970\) | 4.59211 | + | 5.04959i | 0.147444 | + | 0.162132i | ||||
\(971\) | −13.6776 | − | 7.89677i | −0.438935 | − | 0.253419i | 0.264211 | − | 0.964465i | \(-0.414889\pi\) |
−0.703146 | + | 0.711046i | \(0.748222\pi\) | |||||||
\(972\) | −7.99072 | − | 13.3846i | −0.256303 | − | 0.429312i | ||||
\(973\) | −11.0765 | − | 22.0692i | −0.355095 | − | 0.707507i | ||||
\(974\) | −3.28607 | −0.105292 | ||||||||
\(975\) | 6.82664 | − | 46.9924i | 0.218627 | − | 1.50496i | ||||
\(976\) | −0.442564 | − | 0.766543i | −0.0141661 | − | 0.0245365i | ||||
\(977\) | 12.1987 | − | 45.5260i | 0.390270 | − | 1.45651i | −0.439420 | − | 0.898282i | \(-0.644816\pi\) |
0.829690 | − | 0.558225i | \(-0.188517\pi\) | |||||||
\(978\) | 10.2130 | − | 2.20208i | 0.326577 | − | 0.0704146i | ||||
\(979\) | − | 4.40244i | − | 0.140703i | ||||||
\(980\) | −14.2530 | − | 6.46929i | −0.455296 | − | 0.206654i | ||||
\(981\) | 42.2438 | + | 4.19043i | 1.34874 | + | 0.133790i | ||||
\(982\) | −3.02313 | − | 11.2825i | −0.0964721 | − | 0.360039i | ||||
\(983\) | 40.9232 | + | 10.9653i | 1.30525 | + | 0.349740i | 0.843432 | − | 0.537236i | \(-0.180531\pi\) |
0.461816 | + | 0.886976i | \(0.347198\pi\) | |||||||
\(984\) | −6.11889 | − | 11.9227i | −0.195063 | − | 0.380082i | ||||
\(985\) | 9.18489 | − | 4.73732i | 0.292655 | − | 0.150943i | ||||
\(986\) | 9.04543i | 0.288065i | ||||||||
\(987\) | 36.9674 | − | 16.3195i | 1.17668 | − | 0.519455i | ||||
\(988\) | 26.7305 | + | 26.7305i | 0.850409 | + | 0.850409i | ||||
\(989\) | −0.469614 | + | 0.813395i | −0.0149328 | + | 0.0258645i | ||||
\(990\) | 3.35446 | − | 22.7671i | 0.106612 | − | 0.723585i | ||||
\(991\) | 0.654060 | + | 1.13287i | 0.0207769 | + | 0.0359867i | 0.876227 | − | 0.481899i | \(-0.160053\pi\) |
−0.855450 | + | 0.517885i | \(0.826719\pi\) | |||||||
\(992\) | −6.92572 | + | 1.85574i | −0.219892 | + | 0.0589198i | ||||
\(993\) | −43.6686 | + | 39.5512i | −1.38578 | + | 1.25512i | ||||
\(994\) | −3.10043 | − | 3.48574i | −0.0983397 | − | 0.110561i | ||||
\(995\) | −2.39349 | − | 10.9928i | −0.0758787 | − | 0.348495i | ||||
\(996\) | −9.42740 | + | 14.6103i | −0.298719 | + | 0.462944i | ||||
\(997\) | 49.1577 | + | 13.1718i | 1.55684 | + | 0.417154i | 0.931662 | − | 0.363327i | \(-0.118359\pi\) |
0.625179 | + | 0.780482i | \(0.285026\pi\) | |||||||
\(998\) | −2.79969 | − | 0.750174i | −0.0886225 | − | 0.0237463i | ||||
\(999\) | 16.0008 | − | 20.1176i | 0.506244 | − | 0.636493i |
(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 | 210.2.x.a.23.1 | ✓ | 64 | |
3.2 | odd | 2 | inner | 210.2.x.a.23.16 | yes | 64 | |
5.2 | odd | 4 | inner | 210.2.x.a.107.4 | yes | 64 | |
7.4 | even | 3 | inner | 210.2.x.a.53.13 | yes | 64 | |
15.2 | even | 4 | inner | 210.2.x.a.107.13 | yes | 64 | |
21.11 | odd | 6 | inner | 210.2.x.a.53.4 | yes | 64 | |
35.32 | odd | 12 | inner | 210.2.x.a.137.16 | yes | 64 | |
105.32 | even | 12 | inner | 210.2.x.a.137.1 | yes | 64 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
210.2.x.a.23.1 | ✓ | 64 | 1.1 | even | 1 | trivial | |
210.2.x.a.23.16 | yes | 64 | 3.2 | odd | 2 | inner | |
210.2.x.a.53.4 | yes | 64 | 21.11 | odd | 6 | inner | |
210.2.x.a.53.13 | yes | 64 | 7.4 | even | 3 | inner | |
210.2.x.a.107.4 | yes | 64 | 5.2 | odd | 4 | inner | |
210.2.x.a.107.13 | yes | 64 | 15.2 | even | 4 | inner | |
210.2.x.a.137.1 | yes | 64 | 105.32 | even | 12 | inner | |
210.2.x.a.137.16 | yes | 64 | 35.32 | odd | 12 | inner |