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 | 107.4 | ||
Character | \(\chi\) | \(=\) | 210.107 |
Dual form | 210.2.x.a.53.4 |
$q$-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 \(\left(\mathbb{Z}/210\mathbb{Z}\right)^\times\).
\(n\) | \(31\) | \(71\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(-1\) | \(e\left(\frac{1}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.258819 | − | 0.965926i | −0.183013 | − | 0.683013i | ||||
\(3\) | −0.530415 | + | 1.64884i | −0.306235 | + | 0.951956i | ||||
\(4\) | −0.866025 | + | 0.500000i | −0.433013 | + | 0.250000i | ||||
\(5\) | −1.50442 | + | 1.65430i | −0.672799 | + | 0.739825i | ||||
\(6\) | 1.72993 | + | 0.0855915i | 0.706243 | + | 0.0349426i | ||||
\(7\) | −1.18680 | − | 2.36464i | −0.448569 | − | 0.893748i | ||||
\(8\) | 0.707107 | + | 0.707107i | 0.250000 | + | 0.250000i | ||||
\(9\) | −2.43732 | − | 1.74913i | −0.812440 | − | 0.583045i | ||||
\(10\) | 1.98730 | + | 1.02500i | 0.628441 | + | 0.324133i | ||||
\(11\) | −2.97095 | + | 1.71528i | −0.895774 | + | 0.517175i | −0.875827 | − | 0.482626i | \(-0.839683\pi\) |
−0.0199474 | + | 0.999801i | \(0.506350\pi\) | |||||||
\(12\) | −0.365065 | − | 1.69314i | −0.105385 | − | 0.488768i | ||||
\(13\) | −3.87719 | + | 3.87719i | −1.07534 | + | 1.07534i | −0.0784181 | + | 0.996921i | \(0.524987\pi\) |
−0.996921 | + | 0.0784181i | \(0.975013\pi\) | |||||||
\(14\) | −1.97690 | + | 1.75837i | −0.528348 | + | 0.469945i | ||||
\(15\) | −1.92970 | − | 3.35801i | −0.498246 | − | 0.867035i | ||||
\(16\) | 0.500000 | − | 0.866025i | 0.125000 | − | 0.216506i | ||||
\(17\) | −3.70825 | − | 0.993622i | −0.899382 | − | 0.240989i | −0.220631 | − | 0.975357i | \(-0.570812\pi\) |
−0.678751 | + | 0.734369i | \(0.737478\pi\) | |||||||
\(18\) | −1.05871 | + | 2.80698i | −0.249540 | + | 0.661611i | ||||
\(19\) | 5.97063 | + | 3.44715i | 1.36976 | + | 0.790829i | 0.990897 | − | 0.134625i | \(-0.0429829\pi\) |
0.378860 | + | 0.925454i | \(0.376316\pi\) | |||||||
\(20\) | 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 | ||||
\(23\) | −1.11339 | + | 0.298332i | −0.232158 | + | 0.0622065i | −0.373022 | − | 0.927822i | \(-0.621678\pi\) |
0.140864 | + | 0.990029i | \(0.455012\pi\) | |||||||
\(24\) | −1.54096 | + | 0.790843i | −0.314548 | + | 0.161430i | ||||
\(25\) | −0.473417 | − | 4.97754i | −0.0946835 | − | 0.995507i | ||||
\(26\) | 4.74857 | + | 2.74159i | 0.931271 | + | 0.537669i | ||||
\(27\) | 4.17683 | − | 3.09097i | 0.803831 | − | 0.594858i | ||||
\(28\) | 2.21012 | + | 1.45443i | 0.417673 | + | 0.274862i | ||||
\(29\) | 2.35616 | 0.437528 | 0.218764 | − | 0.975778i | \(-0.429798\pi\) | ||||
0.218764 | + | 0.975778i | \(0.429798\pi\) | |||||||
\(30\) | −2.74415 | + | 2.73307i | −0.501011 | + | 0.498987i | ||||
\(31\) | 3.58502 | + | 6.20943i | 0.643888 | + | 1.11525i | 0.984557 | + | 0.175063i | \(0.0560130\pi\) |
−0.340669 | + | 0.940183i | \(0.610654\pi\) | |||||||
\(32\) | −0.965926 | − | 0.258819i | −0.170753 | − | 0.0457532i | ||||
\(33\) | −1.25238 | − | 5.80841i | −0.218011 | − | 1.01111i | ||||
\(34\) | 3.83906i | 0.658393i | ||||||||
\(35\) | 5.69727 | + | 1.59409i | 0.963014 | + | 0.269450i | ||||
\(36\) | 2.98535 | + | 0.296136i | 0.497558 | + | 0.0493559i | ||||
\(37\) | −4.77836 | + | 1.28036i | −0.785557 | + | 0.210489i | −0.629233 | − | 0.777217i | \(-0.716631\pi\) |
−0.156324 | + | 0.987706i | \(0.549964\pi\) | |||||||
\(38\) | 1.78437 | − | 6.65937i | 0.289464 | − | 1.08029i | ||||
\(39\) | −4.33633 | − | 8.44937i | −0.694368 | − | 1.35298i | ||||
\(40\) | −2.23356 | + | 0.105978i | −0.353156 | + | 0.0167567i | ||||
\(41\) | − | 7.73718i | − | 1.20834i | −0.796854 | − | 0.604172i | \(-0.793504\pi\) | ||
0.796854 | − | 0.604172i | \(-0.206496\pi\) | |||||||
\(42\) | −1.85070 | − | 4.19225i | −0.285568 | − | 0.646878i | ||||
\(43\) | −0.576172 | + | 0.576172i | −0.0878654 | + | 0.0878654i | −0.749673 | − | 0.661808i | \(-0.769789\pi\) |
0.661808 | + | 0.749673i | \(0.269789\pi\) | |||||||
\(44\) | 1.71528 | − | 2.97095i | 0.258588 | − | 0.447887i | ||||
\(45\) | 6.56036 | − | 1.40062i | 0.977960 | − | 0.208792i | ||||
\(46\) | 0.576333 | + | 0.998238i | 0.0849757 | + | 0.147182i | ||||
\(47\) | 2.28227 | + | 8.51756i | 0.332904 | + | 1.24241i | 0.906124 | + | 0.423013i | \(0.139027\pi\) |
−0.573220 | + | 0.819402i | \(0.694306\pi\) | |||||||
\(48\) | 1.16273 | + | 1.28377i | 0.167825 | + | 0.185296i | ||||
\(49\) | −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 | ||||
\(52\) | 1.41915 | − | 5.29634i | 0.196801 | − | 0.734470i | ||||
\(53\) | −0.246904 | + | 0.921459i | −0.0339149 | + | 0.126572i | −0.980808 | − | 0.194977i | \(-0.937537\pi\) |
0.946893 | + | 0.321549i | \(0.104203\pi\) | |||||||
\(54\) | −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 | ||||
\(57\) | −8.85069 | + | 8.01617i | −1.17230 | + | 1.06177i | ||||
\(58\) | −0.609819 | − | 2.27587i | −0.0800731 | − | 0.298837i | ||||
\(59\) | 2.74415 | + | 4.75301i | 0.357258 | + | 0.618789i | 0.987502 | − | 0.157609i | \(-0.0503784\pi\) |
−0.630244 | + | 0.776397i | \(0.717045\pi\) | |||||||
\(60\) | 3.35018 | + | 1.94328i | 0.432506 | + | 0.250876i | ||||
\(61\) | 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 | ||||
\(63\) | −1.24345 | + | 7.83925i | −0.156661 | + | 0.987653i | ||||
\(64\) | 1.00000i | 0.125000i | ||||||||
\(65\) | −0.581098 | − | 12.2470i | −0.0720763 | − | 1.51905i | ||||
\(66\) | −5.28636 | + | 2.71303i | −0.650706 | + | 0.333951i | ||||
\(67\) | 1.15816 | − | 4.32230i | 0.141491 | − | 0.528053i | −0.858395 | − | 0.512989i | \(-0.828538\pi\) |
0.999887 | − | 0.0150642i | \(-0.00479526\pi\) | |||||||
\(68\) | 3.70825 | − | 0.993622i | 0.449691 | − | 0.120494i | ||||
\(69\) | 0.0986585 | − | 1.99404i | 0.0118771 | − | 0.240054i | ||||
\(70\) | 0.0652109 | − | 5.91572i | 0.00779420 | − | 0.707064i | ||||
\(71\) | − | 1.76324i | − | 0.209258i | −0.994511 | − | 0.104629i | \(-0.966635\pi\) | ||
0.994511 | − | 0.104629i | \(-0.0333655\pi\) | |||||||
\(72\) | −0.486620 | − | 2.96027i | −0.0573487 | − | 0.348871i | ||||
\(73\) | −6.82973 | − | 1.83002i | −0.799360 | − | 0.214188i | −0.164057 | − | 0.986451i | \(-0.552458\pi\) |
−0.635303 | + | 0.772263i | \(0.719125\pi\) | |||||||
\(74\) | 2.47346 | + | 4.28416i | 0.287534 | + | 0.498023i | ||||
\(75\) | 8.45825 | + | 1.85957i | 0.976675 | + | 0.214725i | ||||
\(76\) | −6.89429 | −0.790829 | ||||||||
\(77\) | 7.58193 | + | 4.98952i | 0.864041 | + | 0.568608i | ||||
\(78\) | −7.03914 | + | 6.37543i | −0.797025 | + | 0.721875i | ||||
\(79\) | 4.97633 | + | 2.87309i | 0.559881 | + | 0.323248i | 0.753098 | − | 0.657909i | \(-0.228559\pi\) |
−0.193217 | + | 0.981156i | \(0.561892\pi\) | |||||||
\(80\) | 0.680454 | + | 2.13002i | 0.0760771 | + | 0.238143i | ||||
\(81\) | 2.88105 | + | 8.52640i | 0.320117 | + | 0.947378i | ||||
\(82\) | −7.47354 | + | 2.00253i | −0.825315 | + | 0.221142i | ||||
\(83\) | −7.09854 | − | 7.09854i | −0.779166 | − | 0.779166i | 0.200523 | − | 0.979689i | \(-0.435736\pi\) |
−0.979689 | + | 0.200523i | \(0.935736\pi\) | |||||||
\(84\) | −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 | ||||
\(87\) | −1.24974 | + | 3.88492i | −0.133986 | + | 0.416507i | ||||
\(88\) | −3.31366 | − | 0.887893i | −0.353237 | − | 0.0946497i | ||||
\(89\) | 0.641651 | − | 1.11137i | 0.0680149 | − | 0.117805i | −0.830013 | − | 0.557745i | \(-0.811667\pi\) |
0.898027 | + | 0.439940i | \(0.145000\pi\) | |||||||
\(90\) | −3.05084 | − | 5.97431i | −0.321587 | − | 0.629748i | ||||
\(91\) | 13.7696 | + | 4.56669i | 1.44345 | + | 0.478719i | ||||
\(92\) | 0.815058 | − | 0.815058i | 0.0849757 | − | 0.0849757i | ||||
\(93\) | −12.1399 | + | 2.61753i | −1.25885 | + | 0.271425i | ||||
\(94\) | 7.63664 | − | 4.40902i | 0.787659 | − | 0.454755i | ||||
\(95\) | −14.6850 | + | 4.69125i | −1.50665 | + | 0.481312i | ||||
\(96\) | 0.939092 | − | 1.45537i | 0.0958457 | − | 0.148538i | ||||
\(97\) | 2.15837 | + | 2.15837i | 0.219150 | + | 0.219150i | 0.808140 | − | 0.588990i | \(-0.200474\pi\) |
−0.588990 | + | 0.808140i | \(0.700474\pi\) | |||||||
\(98\) | 6.50410 | + | 2.58780i | 0.657013 | + | 0.261407i | ||||
\(99\) | 10.2414 | + | 1.01591i | 1.02930 | + | 0.102103i | ||||
\(100\) | 2.89876 | + | 4.07396i | 0.289876 | + | 0.407396i | ||||
\(101\) | −16.2068 | + | 9.35702i | −1.61264 | + | 0.931059i | −0.623885 | + | 0.781516i | \(0.714447\pi\) |
−0.988755 | + | 0.149543i | \(0.952220\pi\) | |||||||
\(102\) | −6.32998 | − | 2.03629i | −0.626761 | − | 0.201623i | ||||
\(103\) | 2.29867 | + | 8.57874i | 0.226494 | + | 0.845288i | 0.981800 | + | 0.189916i | \(0.0608215\pi\) |
−0.755306 | + | 0.655372i | \(0.772512\pi\) | |||||||
\(104\) | −5.48317 | −0.537669 | ||||||||
\(105\) | −5.65031 | + | 8.54833i | −0.551414 | + | 0.834232i | ||||
\(106\) | 0.953965 | 0.0926572 | ||||||||
\(107\) | 1.75308 | + | 6.54257i | 0.169476 | + | 0.632494i | 0.997427 | + | 0.0716931i | \(0.0228402\pi\) |
−0.827950 | + | 0.560801i | \(0.810493\pi\) | |||||||
\(108\) | −2.07175 | + | 4.76527i | −0.199354 | + | 0.458539i | ||||
\(109\) | −12.2546 | + | 7.07519i | −1.17378 | + | 0.677680i | −0.954566 | − | 0.297998i | \(-0.903681\pi\) |
−0.219209 | + | 0.975678i | \(0.570348\pi\) | |||||||
\(110\) | −7.66233 | + | 0.363565i | −0.730575 | + | 0.0346645i | ||||
\(111\) | 0.423414 | − | 8.55785i | 0.0401887 | − | 0.812275i | ||||
\(112\) | −2.64124 | − | 0.154518i | −0.249573 | − | 0.0146006i | ||||
\(113\) | 3.82501 | + | 3.82501i | 0.359827 | + | 0.359827i | 0.863749 | − | 0.503922i | \(-0.168110\pi\) |
−0.503922 | + | 0.863749i | \(0.668110\pi\) | |||||||
\(114\) | 10.0338 | + | 6.47437i | 0.939747 | + | 0.606380i | ||||
\(115\) | 1.18148 | − | 2.29070i | 0.110174 | − | 0.213609i | ||||
\(116\) | −2.04049 | + | 1.17808i | −0.189455 | + | 0.109382i | ||||
\(117\) | 16.2317 | − | 2.66822i | 1.50062 | − | 0.246677i | ||||
\(118\) | 3.88081 | − | 3.88081i | 0.357258 | − | 0.357258i | ||||
\(119\) | 2.05140 | + | 9.94788i | 0.188051 | + | 0.911921i | ||||
\(120\) | 1.00997 | − | 3.73898i | 0.0921973 | − | 0.341320i | ||||
\(121\) | 0.384350 | − | 0.665714i | 0.0349409 | − | 0.0605195i | ||||
\(122\) | −0.854968 | − | 0.229088i | −0.0774052 | − | 0.0207407i | ||||
\(123\) | 12.7573 | + | 4.10392i | 1.15029 | + | 0.370038i | ||||
\(124\) | −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 | 0.477000 | − | 0.878903i | \(-0.341724\pi\) |
−0.878903 | + | 0.477000i | \(0.841724\pi\) | |||||||
\(128\) | 0.965926 | − | 0.258819i | 0.0853766 | − | 0.0228766i | ||||
\(129\) | −0.644403 | − | 1.25562i | −0.0567365 | − | 0.110552i | ||||
\(130\) | −11.6793 | + | 3.73105i | −1.02434 | + | 0.327234i | ||||
\(131\) | −10.5767 | − | 6.10644i | −0.924088 | − | 0.533522i | −0.0391509 | − | 0.999233i | \(-0.512465\pi\) |
−0.884937 | + | 0.465711i | \(0.845799\pi\) | |||||||
\(132\) | 3.98880 | + | 4.40405i | 0.347180 | + | 0.383323i | ||||
\(133\) | 1.06529 | − | 18.2094i | 0.0923726 | − | 1.57896i | ||||
\(134\) | −4.47478 | −0.386562 | ||||||||
\(135\) | −1.17032 | + | 11.5599i | −0.100725 | + | 0.994914i | ||||
\(136\) | −1.91953 | − | 3.32472i | −0.164598 | − | 0.285093i | ||||
\(137\) | 3.39968 | + | 0.910941i | 0.290454 | + | 0.0778270i | 0.401104 | − | 0.916032i | \(-0.368627\pi\) |
−0.110650 | + | 0.993859i | \(0.535293\pi\) | |||||||
\(138\) | −1.95163 | + | 0.420798i | −0.166133 | + | 0.0358207i | ||||
\(139\) | − | 9.33303i | − | 0.791618i | −0.918333 | − | 0.395809i | \(-0.870464\pi\) | ||
0.918333 | − | 0.395809i | \(-0.129536\pi\) | |||||||
\(140\) | −5.73102 | + | 1.46811i | −0.484360 | + | 0.124078i | ||||
\(141\) | −15.2546 | − | 0.754749i | −1.28467 | − | 0.0635613i | ||||
\(142\) | −1.70316 | + | 0.456359i | −0.142926 | + | 0.0382968i | ||||
\(143\) | 4.86847 | − | 18.1694i | 0.407122 | − | 1.51940i | ||||
\(144\) | −2.73346 | + | 1.23621i | −0.227788 | + | 0.103018i | ||||
\(145\) | −3.54466 | + | 3.89779i | −0.294368 | + | 0.323694i | ||||
\(146\) | 7.07066i | 0.585172i | ||||||||
\(147\) | −7.03570 | − | 9.87416i | −0.580295 | − | 0.814407i | ||||
\(148\) | 3.49800 | − | 3.49800i | 0.287534 | − | 0.287534i | ||||
\(149\) | 1.00095 | − | 1.73369i | 0.0820008 | − | 0.142029i | −0.822108 | − | 0.569331i | \(-0.807202\pi\) |
0.904109 | + | 0.427301i | \(0.140536\pi\) | |||||||
\(150\) | −0.392946 | − | 8.65133i | −0.0320839 | − | 0.706379i | ||||
\(151\) | −7.46876 | − | 12.9363i | −0.607799 | − | 1.05274i | −0.991602 | − | 0.129324i | \(-0.958719\pi\) |
0.383803 | − | 0.923415i | \(-0.374614\pi\) | |||||||
\(152\) | 1.78437 | + | 6.65937i | 0.144732 | + | 0.540146i | ||||
\(153\) | 7.30020 | + | 8.90800i | 0.590186 | + | 0.720169i | ||||
\(154\) | 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 | ||||
\(157\) | −3.64642 | + | 13.6086i | −0.291016 | + | 1.08609i | 0.653313 | + | 0.757088i | \(0.273378\pi\) |
−0.944330 | + | 0.329000i | \(0.893288\pi\) | |||||||
\(158\) | 1.48722 | − | 5.55038i | 0.118317 | − | 0.441564i | ||||
\(159\) | −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 | ||||
\(162\) | 7.49020 | − | 4.98968i | 0.588486 | − | 0.392026i | ||||
\(163\) | −1.56120 | − | 5.82648i | −0.122283 | − | 0.456365i | 0.877446 | − | 0.479676i | \(-0.159246\pi\) |
−0.999728 | + | 0.0233112i | \(0.992579\pi\) | |||||||
\(164\) | 3.86859 | + | 6.70060i | 0.302086 | + | 0.523229i | ||||
\(165\) | 11.4930 | + | 6.66651i | 0.894726 | + | 0.518987i | ||||
\(166\) | −5.01942 | + | 8.69390i | −0.389583 | + | 0.674777i | ||||
\(167\) | 5.93525 | − | 5.93525i | 0.459284 | − | 0.459284i | −0.439137 | − | 0.898420i | \(-0.644716\pi\) |
0.898420 | + | 0.439137i | \(0.144716\pi\) | |||||||
\(168\) | 3.69887 | + | 2.70524i | 0.285374 | + | 0.208714i | ||||
\(169\) | − | 17.0652i | − | 1.31271i | ||||||
\(170\) | −6.35095 | − | 5.77557i | −0.487096 | − | 0.442966i | ||||
\(171\) | −8.52281 | − | 18.8452i | −0.651756 | − | 1.44113i | ||||
\(172\) | 0.210894 | − | 0.787066i | 0.0160805 | − | 0.0600132i | ||||
\(173\) | 11.8097 | − | 3.16440i | 0.897875 | − | 0.240585i | 0.219772 | − | 0.975551i | \(-0.429469\pi\) |
0.678104 | + | 0.734966i | \(0.262802\pi\) | |||||||
\(174\) | 4.07600 | + | 0.201667i | 0.309001 | + | 0.0152884i | ||||
\(175\) | −11.2082 | + | 7.02681i | −0.847261 | + | 0.531177i | ||||
\(176\) | 3.43055i | 0.258588i | ||||||||
\(177\) | −9.29246 | + | 2.00359i | −0.698464 | + | 0.150599i | ||||
\(178\) | −1.23958 | − | 0.332143i | −0.0929101 | − | 0.0248952i | ||||
\(179\) | 0.740048 | + | 1.28180i | 0.0553138 | + | 0.0958063i | 0.892356 | − | 0.451331i | \(-0.149051\pi\) |
−0.837043 | + | 0.547138i | \(0.815717\pi\) | |||||||
\(180\) | −4.98113 | + | 4.49315i | −0.371271 | + | 0.334900i | ||||
\(181\) | −15.6223 | −1.16120 | −0.580599 | − | 0.814189i | \(-0.697182\pi\) | ||||
−0.580599 | + | 0.814189i | \(0.697182\pi\) | |||||||
\(182\) | 0.847250 | − | 14.4823i | 0.0628023 | − | 1.07350i | ||||
\(183\) | 1.02916 | + | 1.13630i | 0.0760778 | + | 0.0839978i | ||||
\(184\) | −0.998238 | − | 0.576333i | −0.0735911 | − | 0.0424878i | ||||
\(185\) | 5.07058 | − | 9.83103i | 0.372796 | − | 0.722792i | ||||
\(186\) | 5.67037 | + | 11.0488i | 0.415772 | + | 0.810134i | ||||
\(187\) | 12.7213 | − | 3.40867i | 0.930276 | − | 0.249267i | ||||
\(188\) | −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 | \(0.482174\pi\) | |||||||
\(192\) | −1.64884 | − | 0.530415i | −0.118994 | − | 0.0382794i | ||||
\(193\) | 16.2631 | + | 4.35769i | 1.17065 | + | 0.313673i | 0.791210 | − | 0.611545i | \(-0.209452\pi\) |
0.379436 | + | 0.925218i | \(0.376118\pi\) | |||||||
\(194\) | 1.52620 | − | 2.64346i | 0.109575 | − | 0.189789i | ||||
\(195\) | 20.5015 | + | 5.53784i | 1.46814 | + | 0.396573i | ||||
\(196\) | 0.816238 | − | 6.95225i | 0.0583027 | − | 0.496589i | ||||
\(197\) | −3.26809 | + | 3.26809i | −0.232842 | + | 0.232842i | −0.813878 | − | 0.581036i | \(-0.802648\pi\) |
0.581036 | + | 0.813878i | \(0.302648\pi\) | |||||||
\(198\) | −1.66938 | − | 10.1554i | −0.118637 | − | 0.721711i | ||||
\(199\) | −4.35724 | + | 2.51565i | −0.308876 | + | 0.178330i | −0.646424 | − | 0.762979i | \(-0.723736\pi\) |
0.337547 | + | 0.941309i | \(0.390403\pi\) | |||||||
\(200\) | 3.18489 | − | 3.85441i | 0.225206 | − | 0.272548i | ||||
\(201\) | 6.51246 | + | 4.20223i | 0.459354 | + | 0.296402i | ||||
\(202\) | 13.2328 | + | 13.2328i | 0.931059 | + | 0.931059i | ||||
\(203\) | −2.79629 | − | 5.57146i | −0.196261 | − | 0.391040i | ||||
\(204\) | −0.328591 | + | 6.64132i | −0.0230060 | + | 0.464985i | ||||
\(205\) | 12.7996 | + | 11.6400i | 0.893964 | + | 0.812973i | ||||
\(206\) | 7.69148 | − | 4.44068i | 0.535891 | − | 0.309397i | ||||
\(207\) | 3.23551 | + | 1.22034i | 0.224883 | + | 0.0848194i | ||||
\(208\) | 1.41915 | + | 5.29634i | 0.0984003 | + | 0.367235i | ||||
\(209\) | −23.6512 | −1.63599 | ||||||||
\(210\) | 9.71946 | + | 3.24531i | 0.670707 | + | 0.223948i | ||||
\(211\) | 2.58896 | 0.178231 | 0.0891156 | − | 0.996021i | \(-0.471596\pi\) | ||||
0.0891156 | + | 0.996021i | \(0.471596\pi\) | |||||||
\(212\) | −0.246904 | − | 0.921459i | −0.0169575 | − | 0.0632861i | ||||
\(213\) | 2.90729 | + | 0.935247i | 0.199204 | + | 0.0640821i | ||||
\(214\) | 5.86591 | − | 3.38669i | 0.400985 | − | 0.231509i | ||||
\(215\) | −0.0863545 | − | 1.81997i | −0.00588933 | − | 0.124121i | ||||
\(216\) | 5.13911 | + | 0.767816i | 0.349672 | + | 0.0522432i | ||||
\(217\) | 10.4283 | − | 15.8466i | 0.707922 | − | 1.07574i | ||||
\(218\) | 10.0058 | + | 10.0058i | 0.677680 | + | 0.677680i | ||||
\(219\) | 6.64000 | − | 10.2904i | 0.448690 | − | 0.695364i | ||||
\(220\) | 2.33433 | + | 7.30715i | 0.157381 | + | 0.492648i | ||||
\(221\) | 18.2300 | − | 10.5251i | 1.22628 | − | 0.707996i | ||||
\(222\) | −8.37583 | + | 1.80595i | −0.562149 | + | 0.121207i | ||||
\(223\) | −7.72857 | + | 7.72857i | −0.517543 | + | 0.517543i | −0.916827 | − | 0.399284i | \(-0.869259\pi\) |
0.399284 | + | 0.916827i | \(0.369259\pi\) | |||||||
\(224\) | 0.534349 | + | 2.59123i | 0.0357027 | + | 0.173134i | ||||
\(225\) | −7.55251 | + | 12.9599i | −0.503501 | + | 0.863995i | ||||
\(226\) | 2.70469 | − | 4.68466i | 0.179913 | − | 0.311619i | ||||
\(227\) | 7.32054 | + | 1.96153i | 0.485881 | + | 0.130191i | 0.493440 | − | 0.869780i | \(-0.335739\pi\) |
−0.00755864 | + | 0.999971i | \(0.502406\pi\) | |||||||
\(228\) | 3.65684 | − | 11.3676i | 0.242180 | − | 0.752835i | ||||
\(229\) | 4.05881 | + | 2.34336i | 0.268214 | + | 0.154853i | 0.628076 | − | 0.778152i | \(-0.283843\pi\) |
−0.359862 | + | 0.933006i | \(0.617176\pi\) | |||||||
\(230\) | −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 | ||||
\(233\) | 1.81510 | − | 0.486355i | 0.118911 | − | 0.0318622i | −0.198873 | − | 0.980025i | \(-0.563728\pi\) |
0.317784 | + | 0.948163i | \(0.397061\pi\) | |||||||
\(234\) | −6.77837 | − | 14.9880i | −0.443116 | − | 0.979797i | ||||
\(235\) | −17.5241 | − | 9.03846i | −1.14315 | − | 0.589604i | ||||
\(236\) | −4.75301 | − | 2.74415i | −0.309394 | − | 0.178629i | ||||
\(237\) | −7.37677 | + | 6.68123i | −0.479173 | + | 0.433992i | ||||
\(238\) | 9.07798 | − | 4.55620i | 0.588438 | − | 0.295334i | ||||
\(239\) | 18.5117 | 1.19742 | 0.598712 | − | 0.800964i | \(-0.295679\pi\) | ||||
0.598712 | + | 0.800964i | \(0.295679\pi\) | |||||||
\(240\) | −3.87298 | − | 0.00783764i | −0.249999 | − | 0.000505917i | ||||
\(241\) | −4.18303 | − | 7.24521i | −0.269452 | − | 0.466705i | 0.699268 | − | 0.714859i | \(-0.253509\pi\) |
−0.968721 | + | 0.248154i | \(0.920176\pi\) | |||||||
\(242\) | −0.742508 | − | 0.198954i | −0.0477302 | − | 0.0127893i | ||||
\(243\) | −15.5868 | + | 0.227852i | −0.999893 | + | 0.0146167i | ||||
\(244\) | 0.885128i | 0.0566645i | ||||||||
\(245\) | −2.99208 | − | 15.3638i | −0.191157 | − | 0.981559i | ||||
\(246\) | 0.662237 | − | 13.3848i | 0.0422227 | − | 0.853385i | ||||
\(247\) | −36.5145 | + | 9.78403i | −2.32336 | + | 0.622543i | ||||
\(248\) | −1.85574 | + | 6.92572i | −0.117840 | + | 0.439784i | ||||
\(249\) | 15.4695 | − | 7.93915i | 0.980339 | − | 0.503123i | ||||
\(250\) | 4.16114 | − | 10.3771i | 0.263174 | − | 0.656308i | ||||
\(251\) | 29.1045i | 1.83706i | 0.395355 | + | 0.918528i | \(0.370622\pi\) | ||||
−0.395355 | + | 0.918528i | \(0.629378\pi\) | |||||||
\(252\) | −2.84276 | − | 7.41072i | −0.179077 | − | 0.466831i | ||||
\(253\) | 2.79610 | − | 2.79610i | 0.175789 | − | 0.175789i | ||||
\(254\) | −3.20264 | + | 5.54713i | −0.200951 | + | 0.348058i | ||||
\(255\) | 3.81921 | + | 14.3697i | 0.239168 | + | 0.899868i | ||||
\(256\) | −0.500000 | − | 0.866025i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | −4.97152 | − | 18.5540i | −0.310115 | − | 1.15737i | −0.928452 | − | 0.371452i | \(-0.878860\pi\) |
0.618337 | − | 0.785913i | \(-0.287807\pi\) | |||||||
\(258\) | −1.04606 | + | 0.947425i | −0.0651246 | + | 0.0589841i | ||||
\(259\) | 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 | ||||
\(262\) | −3.16093 | + | 11.7967i | −0.195283 | + | 0.728805i | ||||
\(263\) | −2.13414 | + | 7.96472i | −0.131597 | + | 0.491126i | −0.999989 | − | 0.00475276i | \(-0.998487\pi\) |
0.868392 | + | 0.495878i | \(0.165154\pi\) | |||||||
\(264\) | 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 | ||||
\(267\) | 1.49213 | + | 1.64747i | 0.0913169 | + | 0.100823i | ||||
\(268\) | 1.15816 | + | 4.32230i | 0.0707457 | + | 0.264027i | ||||
\(269\) | 2.64417 | + | 4.57984i | 0.161218 | + | 0.279238i | 0.935306 | − | 0.353841i | \(-0.115124\pi\) |
−0.774088 | + | 0.633078i | \(0.781791\pi\) | |||||||
\(270\) | 11.4689 | − | 1.86147i | 0.697973 | − | 0.113285i | ||||
\(271\) | −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 | ||||
\(273\) | −14.8333 | + | 20.2816i | −0.897753 | + | 1.22750i | ||||
\(274\) | − | 3.51961i | − | 0.212627i | ||||||
\(275\) | 9.94435 | + | 13.9760i | 0.599667 | + | 0.842782i | ||||
\(276\) | 0.911578 | + | 1.77622i | 0.0548705 | + | 0.106916i | ||||
\(277\) | 6.51359 | − | 24.3091i | 0.391364 | − | 1.46059i | −0.436522 | − | 0.899693i | \(-0.643790\pi\) |
0.827886 | − | 0.560896i | \(-0.189543\pi\) | |||||||
\(278\) | −9.01502 | + | 2.41557i | −0.540685 | + | 0.144876i | ||||
\(279\) | 2.12330 | − | 21.4050i | 0.127119 | − | 1.28149i | ||||
\(280\) | 2.90139 | + | 5.15577i | 0.173391 | + | 0.308116i | ||||
\(281\) | − | 29.4678i | − | 1.75790i | −0.476910 | − | 0.878952i | \(-0.658243\pi\) | ||
0.476910 | − | 0.878952i | \(-0.341757\pi\) | |||||||
\(282\) | 3.21915 | + | 14.9302i | 0.191698 | + | 0.889079i | ||||
\(283\) | −1.00552 | − | 0.269428i | −0.0597719 | − | 0.0160158i | 0.228809 | − | 0.973471i | \(-0.426517\pi\) |
−0.288581 | + | 0.957455i | \(0.593183\pi\) | |||||||
\(284\) | 0.881618 | + | 1.52701i | 0.0523144 | + | 0.0906112i | ||||
\(285\) | 0.0540349 | − | 26.7014i | 0.00320075 | − | 1.58166i | ||||
\(286\) | −18.8103 | −1.11228 | ||||||||
\(287\) | −18.2956 | + | 9.18249i | −1.07996 | + | 0.542025i | ||||
\(288\) | 1.90156 | + | 2.32036i | 0.112051 | + | 0.136728i | ||||
\(289\) | −1.95863 | − | 1.13081i | −0.115213 | − | 0.0665185i | ||||
\(290\) | 4.68241 | + | 2.41506i | 0.274960 | + | 0.141817i | ||||
\(291\) | −4.70364 | + | 2.41397i | −0.275732 | + | 0.141509i | ||||
\(292\) | 6.82973 | − | 1.83002i | 0.399680 | − | 0.107094i | ||||
\(293\) | 12.5118 | + | 12.5118i | 0.730947 | + | 0.730947i | 0.970807 | − | 0.239860i | \(-0.0771017\pi\) |
−0.239860 | + | 0.970807i | \(0.577102\pi\) | |||||||
\(294\) | −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 | ||||
\(297\) | −7.10726 | + | 16.3475i | −0.412405 | + | 0.948580i | ||||
\(298\) | −1.93368 | − | 0.518128i | −0.112015 | − | 0.0300144i | ||||
\(299\) | 3.16013 | − | 5.47351i | 0.182755 | − | 0.316541i | ||||
\(300\) | −8.25485 | + | 2.61869i | −0.476594 | + | 0.151190i | ||||
\(301\) | 2.04624 | + | 0.678636i | 0.117943 | + | 0.0391159i | ||||
\(302\) | −10.5624 | + | 10.5624i | −0.607799 | + | 0.607799i | ||||
\(303\) | −6.83184 | − | 31.6855i | −0.392479 | − | 1.82029i | ||||
\(304\) | 5.97063 | − | 3.44715i | 0.342439 | − | 0.197707i | ||||
\(305\) | 0.602289 | + | 1.88534i | 0.0344870 | + | 0.107954i | ||||
\(306\) | 6.71503 | − | 9.35701i | 0.383873 | − | 0.534905i | ||||
\(307\) | 21.9524 | + | 21.9524i | 1.25289 | + | 1.25289i | 0.954419 | + | 0.298469i | \(0.0964760\pi\) |
0.298469 | + | 0.954419i | \(0.403524\pi\) | |||||||
\(308\) | −9.06090 | − | 0.530083i | −0.516293 | − | 0.0302043i | ||||
\(309\) | −15.3642 | − | 0.760169i | −0.874037 | − | 0.0432445i | ||||
\(310\) | 0.759869 | + | 16.0147i | 0.0431576 | + | 0.909572i | ||||
\(311\) | −9.54424 | + | 5.51037i | −0.541204 | + | 0.312465i | −0.745567 | − | 0.666431i | \(-0.767821\pi\) |
0.204362 | + | 0.978895i | \(0.434488\pi\) | |||||||
\(312\) | 2.90836 | − | 9.04085i | 0.164653 | − | 0.511837i | ||||
\(313\) | 2.37746 | + | 8.87281i | 0.134382 | + | 0.501521i | 1.00000 | 0.000815167i | \(0.000259476\pi\) | |
−0.865618 | + | 0.500706i | \(0.833074\pi\) | |||||||
\(314\) | 14.0887 | 0.795071 | ||||||||
\(315\) | −11.0978 | − | 13.8506i | −0.625289 | − | 0.780393i | ||||
\(316\) | −5.74617 | −0.323248 | ||||||||
\(317\) | −1.31728 | − | 4.91615i | −0.0739857 | − | 0.276118i | 0.919016 | − | 0.394221i | \(-0.128986\pi\) |
−0.993001 | + | 0.118103i | \(0.962319\pi\) | |||||||
\(318\) | −0.505997 | + | 1.57293i | −0.0283749 | + | 0.0882056i | ||||
\(319\) | −7.00002 | + | 4.04147i | −0.391926 | + | 0.226279i | ||||
\(320\) | −1.65430 | − | 1.50442i | −0.0924782 | − | 0.0840999i | ||||
\(321\) | −11.7175 | − | 0.579743i | −0.654006 | − | 0.0323581i | ||||
\(322\) | 1.67648 | − | 2.54753i | 0.0934264 | − | 0.141968i | ||||
\(323\) | −18.7154 | − | 18.7154i | −1.04135 | − | 1.04135i | ||||
\(324\) | −6.75827 | − | 5.94355i | −0.375459 | − | 0.330197i | ||||
\(325\) | 21.1344 | + | 17.4633i | 1.17232 | + | 0.968691i | ||||
\(326\) | −5.22388 | + | 3.01601i | −0.289324 | + | 0.167041i | ||||
\(327\) | −5.16580 | − | 23.9586i | −0.285670 | − | 1.32491i | ||||
\(328\) | 5.47101 | − | 5.47101i | 0.302086 | − | 0.302086i | ||||
\(329\) | 17.4323 | − | 15.5054i | 0.961076 | − | 0.854840i | ||||
\(330\) | 3.46476 | − | 12.8268i | 0.190729 | − | 0.706090i | ||||
\(331\) | 17.0080 | − | 29.4586i | 0.934842 | − | 1.61919i | 0.159925 | − | 0.987129i | \(-0.448875\pi\) |
0.774916 | − | 0.632064i | \(-0.217792\pi\) | |||||||
\(332\) | 9.69678 | + | 2.59824i | 0.532180 | + | 0.142597i | ||||
\(333\) | 13.8859 | + | 5.23735i | 0.760942 | + | 0.287005i | ||||
\(334\) | −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 | 0.999299 | + | 0.0374412i | \(0.0119207\pi\) |
0.0374412 | + | 0.999299i | \(0.488079\pi\) | |||||||
\(338\) | −16.4837 | + | 4.41679i | −0.896595 | + | 0.240242i | ||||
\(339\) | −8.33566 | + | 4.27797i | −0.452731 | + | 0.232347i | ||||
\(340\) | −3.93503 | + | 7.62938i | −0.213407 | + | 0.413761i | ||||
\(341\) | −21.3018 | − | 12.2986i | −1.15356 | − | 0.666006i | ||||
\(342\) | −15.9972 | + | 13.1099i | −0.865031 | + | 0.708903i | ||||
\(343\) | 18.2364 | + | 3.23013i | 0.984673 | + | 0.174410i | ||||
\(344\) | −0.814830 | −0.0439327 | ||||||||
\(345\) | 3.15031 | + | 3.16309i | 0.169607 | + | 0.170295i | ||||
\(346\) | −6.11315 | − | 10.5883i | −0.328645 | − | 0.569230i | ||||
\(347\) | 26.4308 | + | 7.08212i | 1.41888 | + | 0.380188i | 0.885087 | − | 0.465425i | \(-0.154099\pi\) |
0.533795 | + | 0.845614i | \(0.320765\pi\) | |||||||
\(348\) | −0.860151 | − | 3.98931i | −0.0461089 | − | 0.213849i | ||||
\(349\) | 7.53522i | 0.403351i | 0.979452 | + | 0.201675i | \(0.0646386\pi\) | ||||
−0.979452 | + | 0.201675i | \(0.935361\pi\) | |||||||
\(350\) | 9.68827 | + | 9.00763i | 0.517860 | + | 0.481478i | ||||
\(351\) | −4.21007 | + | 28.1786i | −0.224717 | + | 1.50406i | ||||
\(352\) | 3.31366 | − | 0.887893i | 0.176619 | − | 0.0473248i | ||||
\(353\) | −3.86404 | + | 14.4208i | −0.205662 | + | 0.767542i | 0.783584 | + | 0.621285i | \(0.213389\pi\) |
−0.989247 | + | 0.146257i | \(0.953277\pi\) | |||||||
\(354\) | 4.34038 | + | 8.45726i | 0.230689 | + | 0.449499i | ||||
\(355\) | 2.91692 | + | 2.65266i | 0.154814 | + | 0.140788i | ||||
\(356\) | 1.28330i | 0.0680149i | ||||||||
\(357\) | −17.4905 | − | 1.89409i | −0.925696 | − | 0.100246i | ||||
\(358\) | 1.04659 | − | 1.04659i | 0.0553138 | − | 0.0553138i | ||||
\(359\) | −15.4927 | + | 26.8342i | −0.817675 | + | 1.41625i | 0.0897169 | + | 0.995967i | \(0.471404\pi\) |
−0.907391 | + | 0.420287i | \(0.861930\pi\) | |||||||
\(360\) | 5.62926 | + | 3.64849i | 0.296688 | + | 0.192292i | ||||
\(361\) | 14.2656 | + | 24.7088i | 0.750822 | + | 1.30046i | ||||
\(362\) | 4.04336 | + | 15.0900i | 0.212514 | + | 0.793113i | ||||
\(363\) | 0.893789 | + | 0.986836i | 0.0469117 | + | 0.0517954i | ||||
\(364\) | −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 | ||||
\(367\) | 2.59090 | − | 9.66937i | 0.135244 | − | 0.504737i | −0.864753 | − | 0.502197i | \(-0.832525\pi\) |
0.999997 | − | 0.00253931i | \(-0.000808289\pi\) | |||||||
\(368\) | −0.298332 | + | 1.11339i | −0.0155516 | + | 0.0580395i | ||||
\(369\) | −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 | ||||
\(372\) | 9.20468 | − | 8.33678i | 0.477240 | − | 0.432242i | ||||
\(373\) | 3.70262 | + | 13.8184i | 0.191715 | + | 0.715489i | 0.993093 | + | 0.117331i | \(0.0374338\pi\) |
−0.801378 | + | 0.598158i | \(0.795900\pi\) | |||||||
\(374\) | −6.58505 | − | 11.4056i | −0.340505 | − | 0.589772i | ||||
\(375\) | −15.8011 | + | 11.1949i | −0.815965 | + | 0.578102i | ||||
\(376\) | −4.40902 | + | 7.63664i | −0.227378 | + | 0.393830i | ||||
\(377\) | −9.13527 | + | 9.13527i | −0.470490 | + | 0.470490i | ||||
\(378\) | −2.82207 | + | 13.4550i | −0.145152 | + | 0.692048i | ||||
\(379\) | 2.99621i | 0.153905i | 0.997035 | + | 0.0769524i | \(0.0245189\pi\) | ||||
−0.997035 | + | 0.0769524i | \(0.975481\pi\) | |||||||
\(380\) | 10.3719 | − | 11.4052i | 0.532069 | − | 0.585076i | ||||
\(381\) | 9.87030 | − | 5.06557i | 0.505671 | − | 0.259517i | ||||
\(382\) | 3.91812 | − | 14.6226i | 0.200468 | − | 0.748158i | ||||
\(383\) | 8.09984 | − | 2.17034i | 0.413882 | − | 0.110899i | −0.0458683 | − | 0.998947i | \(-0.514605\pi\) |
0.459751 | + | 0.888048i | \(0.347939\pi\) | |||||||
\(384\) | −0.0855915 | + | 1.72993i | −0.00436782 | + | 0.0882804i | ||||
\(385\) | −19.6606 | + | 5.03644i | −1.00200 | + | 0.256681i | ||||
\(386\) | − | 16.8368i | − | 0.856972i | ||||||
\(387\) | 2.41212 | − | 0.396513i | 0.122615 | − | 0.0201559i | ||||
\(388\) | −2.94839 | − | 0.790020i | −0.149682 | − | 0.0401072i | ||||
\(389\) | −13.0941 | − | 22.6796i | −0.663895 | − | 1.14990i | −0.979584 | − | 0.201037i | \(-0.935569\pi\) |
0.315688 | − | 0.948863i | \(-0.397765\pi\) | |||||||
\(390\) | 0.0429751 | − | 21.2362i | 0.00217613 | − | 1.07534i | ||||
\(391\) | 4.42515 | 0.223790 | ||||||||
\(392\) | −6.92661 | + | 1.01095i | −0.349847 | + | 0.0510606i | ||||
\(393\) | 15.6785 | − | 14.2002i | 0.790878 | − | 0.716307i | ||||
\(394\) | 4.00258 | + | 2.31089i | 0.201647 | + | 0.116421i | ||||
\(395\) | −12.2395 | + | 3.91001i | −0.615834 | + | 0.196734i | ||||
\(396\) | −9.37727 | + | 4.24090i | −0.471225 | + | 0.213113i | ||||
\(397\) | −6.73010 | + | 1.80333i | −0.337774 | + | 0.0905063i | −0.423719 | − | 0.905794i | \(-0.639276\pi\) |
0.0859451 | + | 0.996300i | \(0.472609\pi\) | |||||||
\(398\) | 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 | \(0.506729\pi\) | |||||||
\(402\) | 2.37349 | − | 7.37817i | 0.118379 | − | 0.367990i | ||||
\(403\) | −37.9749 | − | 10.1753i | −1.89167 | − | 0.506870i | ||||
\(404\) | 9.35702 | − | 16.2068i | 0.465529 | − | 0.806320i | ||||
\(405\) | −18.4396 | − | 8.06120i | −0.916269 | − | 0.400564i | ||||
\(406\) | −4.65788 | + | 4.14301i | −0.231167 | + | 0.205614i | ||||
\(407\) | 12.0001 | − | 12.0001i | 0.594822 | − | 0.594822i | ||||
\(408\) | 6.50007 | − | 1.40151i | 0.321801 | − | 0.0693849i | ||||
\(409\) | 30.3259 | − | 17.5087i | 1.49952 | − | 0.865747i | 0.499519 | − | 0.866303i | \(-0.333510\pi\) |
1.00000 | 0.000555857i | \(0.000176935\pi\) | ||||||||
\(410\) | 7.93059 | − | 15.3761i | 0.391664 | − | 0.759373i | ||||
\(411\) | −3.30523 | + | 5.12234i | −0.163035 | + | 0.252666i | ||||
\(412\) | −6.28007 | − | 6.28007i | −0.309397 | − | 0.309397i | ||||
\(413\) | 7.98237 | − | 12.1298i | 0.392787 | − | 0.596868i | ||||
\(414\) | 0.341345 | − | 3.44111i | 0.0167762 | − | 0.169121i | ||||
\(415\) | 22.4223 | − | 1.06390i | 1.10067 | − | 0.0522249i | ||||
\(416\) | 4.74857 | − | 2.74159i | 0.232818 | − | 0.134417i | ||||
\(417\) | 15.3886 | + | 4.95038i | 0.753585 | + | 0.242421i | ||||
\(418\) | 6.12139 | + | 22.8453i | 0.299407 | + | 1.11740i | ||||
\(419\) | −8.91090 | −0.435326 | −0.217663 | − | 0.976024i | \(-0.569843\pi\) | ||||
−0.217663 | + | 0.976024i | \(0.569843\pi\) | |||||||
\(420\) | 0.619146 | − | 10.2282i | 0.0302112 | − | 0.499086i | ||||
\(421\) | 18.8014 | 0.916324 | 0.458162 | − | 0.888869i | \(-0.348508\pi\) | ||||
0.458162 | + | 0.888869i | \(0.348508\pi\) | |||||||
\(422\) | −0.670072 | − | 2.50074i | −0.0326186 | − | 0.121734i | ||||
\(423\) | 9.33574 | − | 24.7520i | 0.453919 | − | 1.20348i | ||||
\(424\) | −0.826158 | + | 0.476982i | −0.0401218 | + | 0.0231643i | ||||
\(425\) | −3.19024 | + | 18.9283i | −0.154749 | + | 0.918159i | ||||
\(426\) | 0.150918 | − | 3.05028i | 0.00731201 | − | 0.147787i | ||||
\(427\) | −2.33783 | − | 0.136768i | −0.113136 | − | 0.00661869i | ||||
\(428\) | −4.78950 | − | 4.78950i | −0.231509 | − | 0.231509i | ||||
\(429\) | 27.3760 | + | 17.6646i | 1.32173 | + | 0.852856i | ||||
\(430\) | −1.73560 | + | 0.554455i | −0.0836983 | + | 0.0267382i | ||||
\(431\) | 28.5894 | − | 16.5061i | 1.37710 | − | 0.795069i | 0.385291 | − | 0.922795i | \(-0.374101\pi\) |
0.991810 | + | 0.127726i | \(0.0407677\pi\) | |||||||
\(432\) | −0.588447 | − | 5.16273i | −0.0283117 | − | 0.248392i | ||||
\(433\) | −27.9007 | + | 27.9007i | −1.34082 | + | 1.34082i | −0.445581 | + | 0.895242i | \(0.647003\pi\) |
−0.895242 | + | 0.445581i | \(0.852997\pi\) | |||||||
\(434\) | −18.0057 | − | 5.97160i | −0.864302 | − | 0.286646i | ||||
\(435\) | −4.54668 | − | 7.91201i | −0.217997 | − | 0.379352i | ||||
\(436\) | 7.07519 | − | 12.2546i | 0.338840 | − | 0.586888i | ||||
\(437\) | −7.67603 | − | 2.05679i | −0.367194 | − | 0.0983895i | ||||
\(438\) | −11.6584 | − | 3.75039i | −0.557058 | − | 0.179200i | ||||
\(439\) | −13.8443 | − | 7.99298i | −0.660750 | − | 0.381484i | 0.131813 | − | 0.991275i | \(-0.457920\pi\) |
−0.792563 | + | 0.609790i | \(0.791254\pi\) | |||||||
\(440\) | 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 | ||||
\(443\) | 18.2487 | − | 4.88974i | 0.867024 | − | 0.232318i | 0.202224 | − | 0.979339i | \(-0.435183\pi\) |
0.664801 | + | 0.747021i | \(0.268517\pi\) | |||||||
\(444\) | 3.91224 | + | 7.62302i | 0.185666 | + | 0.361772i | ||||
\(445\) | 0.873228 | + | 2.73346i | 0.0413950 | + | 0.129578i | ||||
\(446\) | 9.46552 | + | 5.46492i | 0.448205 | + | 0.258772i | ||||
\(447\) | 2.32765 | + | 2.56997i | 0.110094 | + | 0.121556i | ||||
\(448\) | 2.36464 | − | 1.18680i | 0.111719 | − | 0.0560711i | ||||
\(449\) | 6.78726 | 0.320311 | 0.160155 | − | 0.987092i | \(-0.448801\pi\) | ||||
0.160155 | + | 0.987092i | \(0.448801\pi\) | |||||||
\(450\) | 14.4731 | + | 3.94090i | 0.682266 | + | 0.185776i | ||||
\(451\) | 13.2714 | + | 22.9868i | 0.624926 | + | 1.08240i | ||||
\(452\) | −5.22506 | − | 1.40005i | −0.245766 | − | 0.0658528i | ||||
\(453\) | 25.2913 | − | 5.45317i | 1.18829 | − | 0.256212i | ||||
\(454\) | − | 7.57878i | − | 0.355690i | ||||||
\(455\) | −28.2700 | + | 15.9088i | −1.32532 | + | 0.745816i | ||||
\(456\) | −11.9267 | − | 0.590093i | −0.558518 | − | 0.0276336i | ||||
\(457\) | −5.13040 | + | 1.37469i | −0.239990 | + | 0.0643051i | −0.376809 | − | 0.926291i | \(-0.622979\pi\) |
0.136819 | + | 0.990596i | \(0.456312\pi\) | |||||||
\(458\) | 1.21301 | − | 4.52702i | 0.0566803 | − | 0.211534i | ||||
\(459\) | −18.5600 | + | 7.31190i | −0.866305 | + | 0.341290i | ||||
\(460\) | 0.122158 | + | 2.57454i | 0.00569563 | + | 0.120039i | ||||
\(461\) | 28.0988i | 1.30869i | 0.756195 | + | 0.654347i | \(0.227056\pi\) | ||||
−0.756195 | + | 0.654347i | \(0.772944\pi\) | |||||||
\(462\) | 12.6892 | + | 9.28049i | 0.590354 | + | 0.431767i | ||||
\(463\) | −7.61828 | + | 7.61828i | −0.354051 | + | 0.354051i | −0.861615 | − | 0.507563i | \(-0.830546\pi\) |
0.507563 | + | 0.861615i | \(0.330546\pi\) | |||||||
\(464\) | 1.17808 | − | 2.04049i | 0.0546910 | − | 0.0947275i | ||||
\(465\) | 13.9333 | − | 24.0209i | 0.646143 | − | 1.11394i | ||||
\(466\) | −0.939566 | − | 1.62738i | −0.0435246 | − | 0.0753867i | ||||
\(467\) | −2.37036 | − | 8.84631i | −0.109687 | − | 0.409358i | 0.889147 | − | 0.457621i | \(-0.151298\pi\) |
−0.998835 | + | 0.0482625i | \(0.984632\pi\) | |||||||
\(468\) | −12.7229 | + | 10.4266i | −0.588118 | + | 0.481969i | ||||
\(469\) | −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 | ||||
\(472\) | −1.42048 | + | 5.30129i | −0.0653827 | + | 0.244012i | ||||
\(473\) | 0.723482 | − | 2.70007i | 0.0332657 | − | 0.124149i | ||||
\(474\) | 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 | ||||
\(477\) | 2.21354 | − | 1.81402i | 0.101351 | − | 0.0830583i | ||||
\(478\) | −4.79119 | − | 17.8810i | −0.219144 | − | 0.817856i | ||||
\(479\) | −7.76447 | − | 13.4485i | −0.354768 | − | 0.614476i | 0.632310 | − | 0.774715i | \(-0.282107\pi\) |
−0.987078 | + | 0.160239i | \(0.948773\pi\) | |||||||
\(480\) | 0.994829 | + | 3.74304i | 0.0454075 | + | 0.170845i | ||||
\(481\) | 13.5624 | − | 23.4908i | 0.618392 | − | 1.07109i | ||||
\(482\) | −5.91569 | + | 5.91569i | −0.269452 | + | 0.269452i | ||||
\(483\) | −4.83226 | + | 2.13323i | −0.219875 | + | 0.0970655i | ||||
\(484\) | 0.768701i | 0.0349409i | ||||||||
\(485\) | −6.81771 | + | 0.323489i | −0.309576 | + | 0.0146889i | ||||
\(486\) | 4.25425 | + | 14.9967i | 0.192977 | + | 0.680265i | ||||
\(487\) | −0.850498 | + | 3.17410i | −0.0385397 | + | 0.143832i | −0.982515 | − | 0.186185i | \(-0.940388\pi\) |
0.943975 | + | 0.330017i | \(0.107054\pi\) | |||||||
\(488\) | 0.854968 | − | 0.229088i | 0.0387026 | − | 0.0103703i | ||||
\(489\) | 10.4350 | + | 0.516289i | 0.471886 | + | 0.0233474i | ||||
\(490\) | −14.0659 | + | 6.86658i | −0.635433 | + | 0.310201i | ||||
\(491\) | 11.6805i | 0.527133i | 0.964641 | + | 0.263567i | \(0.0848989\pi\) | ||||
−0.964641 | + | 0.263567i | \(0.915101\pi\) | |||||||
\(492\) | −13.1001 | + | 2.82457i | −0.590600 | + | 0.127342i | ||||
\(493\) | −8.73722 | − | 2.34113i | −0.393504 | − | 0.105439i | ||||
\(494\) | 18.9013 | + | 32.7380i | 0.850409 | + | 1.47295i | ||||
\(495\) | −17.0880 | + | 15.4140i | −0.768049 | + | 0.692807i | ||||
\(496\) | 7.17003 | 0.321944 | ||||||||
\(497\) | −4.16941 | + | 2.09261i | −0.187024 | + | 0.0938664i | ||||
\(498\) | −11.6724 | − | 12.8876i | −0.523054 | − | 0.577506i | ||||
\(499\) | −2.51013 | − | 1.44922i | −0.112369 | − | 0.0648762i | 0.442762 | − | 0.896639i | \(-0.353999\pi\) |
−0.555131 | + | 0.831763i | \(0.687332\pi\) | |||||||
\(500\) | −11.1005 | − | 1.33355i | −0.496431 | − | 0.0596382i | ||||
\(501\) | 6.63811 | + | 12.9344i | 0.296569 | + | 0.577867i | ||||
\(502\) | 28.1127 | − | 7.53279i | 1.25473 | − | 0.336205i | ||||
\(503\) | −14.8328 | − | 14.8328i | −0.661362 | − | 0.661362i | 0.294339 | − | 0.955701i | \(-0.404901\pi\) |
−0.955701 | + | 0.294339i | \(0.904901\pi\) | |||||||
\(504\) | −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 | ||||
\(507\) | 28.1377 | + | 9.05163i | 1.24964 | + | 0.401997i | ||||
\(508\) | 6.18702 | + | 1.65781i | 0.274505 | + | 0.0735533i | ||||
\(509\) | −9.66165 | + | 16.7345i | −0.428245 | + | 0.741742i | −0.996717 | − | 0.0809602i | \(-0.974201\pi\) |
0.568472 | + | 0.822702i | \(0.307535\pi\) | |||||||
\(510\) | 12.8916 | − | 7.40823i | 0.570850 | − | 0.328042i | ||||
\(511\) | 3.77820 | + | 18.3217i | 0.167138 | + | 0.810505i | ||||
\(512\) | −0.707107 | + | 0.707107i | −0.0312500 | + | 0.0312500i | ||||
\(513\) | 35.5933 | − | 4.05692i | 1.57148 | − | 0.179118i | ||||
\(514\) | −16.6350 | + | 9.60425i | −0.733740 | + | 0.423625i | ||||
\(515\) | −17.6500 | − | 9.10337i | −0.777751 | − | 0.401143i | ||||
\(516\) | 1.18588 | + | 0.765201i | 0.0522055 | + | 0.0336861i | ||||
\(517\) | −21.3905 | − | 21.3905i | −0.940753 | − | 0.940753i | ||||
\(518\) | 7.19497 | − | 10.9333i | 0.316129 | − | 0.480380i | ||||
\(519\) | −1.04647 | + | 21.1507i | −0.0459349 | + | 0.928413i | ||||
\(520\) | 8.24902 | − | 9.07081i | 0.361743 | − | 0.397781i | ||||
\(521\) | 27.4522 | − | 15.8496i | 1.20270 | − | 0.694382i | 0.241549 | − | 0.970389i | \(-0.422345\pi\) |
0.961156 | + | 0.276007i | \(0.0890112\pi\) | |||||||
\(522\) | −2.49449 | + | 6.61369i | −0.109181 | + | 0.289473i | ||||
\(523\) | −4.17483 | − | 15.5807i | −0.182552 | − | 0.681295i | −0.995141 | − | 0.0984575i | \(-0.968609\pi\) |
0.812589 | − | 0.582837i | \(-0.198058\pi\) | |||||||
\(524\) | 12.2129 | 0.533522 | ||||||||
\(525\) | −5.64104 | − | 22.2076i | −0.246195 | − | 0.969220i | ||||
\(526\) | 8.24568 | 0.359529 | ||||||||
\(527\) | −7.12430 | − | 26.5882i | −0.310339 | − | 1.15820i | ||||
\(528\) | −5.65642 | − | 1.81962i | −0.246164 | − | 0.0791887i | ||||
\(529\) | −18.7679 | + | 10.8357i | −0.815998 | + | 0.471117i | ||||
\(530\) | −1.43517 | + | 1.57814i | −0.0623397 | + | 0.0685502i | ||||
\(531\) | 1.62528 | − | 16.3845i | 0.0705311 | − | 0.711026i | ||||
\(532\) | 8.18215 | + | 16.3025i | 0.354741 | + | 0.706802i | ||||
\(533\) | 29.9985 | + | 29.9985i | 1.29938 | + | 1.29938i | ||||
\(534\) | 1.20514 | − | 1.86768i | 0.0521515 | − | 0.0808225i | ||||
\(535\) | −13.4608 | − | 6.94269i | −0.581959 | − | 0.300159i | ||||
\(536\) | 3.87527 | − | 2.23739i | 0.167386 | − | 0.0966405i | ||||
\(537\) | −2.50601 | + | 0.540331i | −0.108142 | + | 0.0233170i | ||||
\(538\) | 3.73942 | − | 3.73942i | 0.161218 | − | 0.161218i | ||||
\(539\) | 2.80015 | − | 23.8501i | 0.120611 | − | 1.02729i | ||||
\(540\) | −4.76640 | − | 10.5963i | −0.205113 | − | 0.455992i | ||||
\(541\) | 3.17726 | − | 5.50318i | 0.136601 | − | 0.236600i | −0.789607 | − | 0.613613i | \(-0.789715\pi\) |
0.926208 | + | 0.377013i | \(0.123049\pi\) | |||||||
\(542\) | 21.7924 | + | 5.83926i | 0.936065 | + | 0.250818i | ||||
\(543\) | 8.28632 | − | 25.7587i | 0.355600 | − | 1.10541i | ||||
\(544\) | 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 | 0.668487 | − | 0.743724i | \(-0.266942\pi\) |
−0.743724 | + | 0.668487i | \(0.766942\pi\) | |||||||
\(548\) | −3.39968 | + | 0.910941i | −0.145227 | + | 0.0389135i | ||||
\(549\) | −2.41946 | + | 1.09421i | −0.103260 | + | 0.0466996i | ||||
\(550\) | 10.9259 | − | 13.2228i | 0.465884 | − | 0.563820i | ||||
\(551\) | 14.0678 | + | 8.12202i | 0.599307 | + | 0.346010i | ||||
\(552\) | 1.47976 | − | 1.34024i | 0.0629827 | − | 0.0570442i | ||||
\(553\) | 0.887888 | − | 15.1770i | 0.0377569 | − | 0.645392i | ||||
\(554\) | −25.1666 | −1.06923 | ||||||||
\(555\) | 13.5202 | + | 13.5751i | 0.573903 | + | 0.576230i | ||||
\(556\) | 4.66652 | + | 8.08264i | 0.197904 | + | 0.342780i | ||||
\(557\) | −44.9860 | − | 12.0540i | −1.90612 | − | 0.510742i | −0.995164 | − | 0.0982317i | \(-0.968681\pi\) |
−0.910953 | − | 0.412511i | \(-0.864652\pi\) | |||||||
\(558\) | −21.2252 | + | 3.48908i | −0.898536 | + | 0.147705i | ||||
\(559\) | − | 4.46786i | − | 0.188970i | ||||||
\(560\) | 4.22916 | − | 4.13693i | 0.178715 | − | 0.174817i | ||||
\(561\) | −1.12725 | + | 22.7834i | −0.0475925 | + | 0.961916i | ||||
\(562\) | −28.4638 | + | 7.62684i | −1.20067 | + | 0.321719i | ||||
\(563\) | −10.7103 | + | 39.9714i | −0.451386 | + | 1.68459i | 0.247115 | + | 0.968986i | \(0.420517\pi\) |
−0.698501 | + | 0.715609i | \(0.746149\pi\) | |||||||
\(564\) | 13.5883 | − | 6.97368i | 0.572169 | − | 0.293645i | ||||
\(565\) | −12.0821 | + | 0.573278i | −0.508300 | + | 0.0241180i | ||||
\(566\) | 1.04099i | 0.0437561i | ||||||||
\(567\) | 16.7426 | − | 16.9318i | 0.703123 | − | 0.711068i | ||||
\(568\) | 1.24680 | − | 1.24680i | 0.0523144 | − | 0.0523144i | ||||
\(569\) | −16.0682 | + | 27.8309i | −0.673614 | + | 1.16673i | 0.303258 | + | 0.952908i | \(0.401926\pi\) |
−0.976872 | + | 0.213825i | \(0.931408\pi\) | |||||||
\(570\) | −25.8056 | + | 6.85864i | −1.08088 | + | 0.287277i | ||||
\(571\) | 0.490240 | + | 0.849121i | 0.0205159 | + | 0.0355346i | 0.876101 | − | 0.482127i | \(-0.160136\pi\) |
−0.855585 | + | 0.517662i | \(0.826802\pi\) | |||||||
\(572\) | 4.86847 | + | 18.1694i | 0.203561 | + | 0.759700i | ||||
\(573\) | −19.4343 | + | 17.6019i | −0.811879 | + | 0.735329i | ||||
\(574\) | 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 | ||||
\(577\) | 6.45735 | − | 24.0992i | 0.268823 | − | 1.00326i | −0.691046 | − | 0.722811i | \(-0.742850\pi\) |
0.959869 | − | 0.280450i | \(-0.0904837\pi\) | |||||||
\(578\) | −0.585353 | + | 2.18457i | −0.0243475 | + | 0.0908659i | ||||
\(579\) | −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 | ||||
\(582\) | 3.54911 | + | 3.91858i | 0.147115 | + | 0.162431i | ||||
\(583\) | −0.847018 | − | 3.16112i | −0.0350799 | − | 0.130920i | ||||
\(584\) | −3.53533 | − | 6.12337i | −0.146293 | − | 0.253387i | ||||
\(585\) | −20.0053 | + | 30.8662i | −0.827117 | + | 1.27616i | ||||
\(586\) | 8.84718 | − | 15.3238i | 0.365473 | − | 0.633019i | ||||
\(587\) | 26.5508 | − | 26.5508i | 1.09587 | − | 1.09587i | 0.100982 | − | 0.994888i | \(-0.467801\pi\) |
0.994888 | − | 0.100982i | \(-0.0321986\pi\) | |||||||
\(588\) | 11.0302 | + | 5.03342i | 0.454877 | + | 0.207575i | ||||
\(589\) | 49.4323i | 2.03682i | ||||||||
\(590\) | 0.581641 | + | 12.2584i | 0.0239458 | + | 0.504671i | ||||
\(591\) | −3.65511 | − | 7.12200i | −0.150351 | − | 0.292960i | ||||
\(592\) | −1.28036 | + | 4.77836i | −0.0526223 | + | 0.196389i | ||||
\(593\) | −20.1433 | + | 5.39739i | −0.827188 | + | 0.221644i | −0.647487 | − | 0.762077i | \(-0.724180\pi\) |
−0.179701 | + | 0.983721i | \(0.557513\pi\) | |||||||
\(594\) | 17.6300 | + | 2.63403i | 0.723368 | + | 0.108076i | ||||
\(595\) | −19.5430 | − | 11.5722i | −0.801183 | − | 0.474414i | ||||
\(596\) | 2.00189i | 0.0820008i | ||||||||
\(597\) | −1.83675 | − | 8.51871i | −0.0751733 | − | 0.348648i | ||||
\(598\) | −6.10491 | − | 1.63581i | −0.249648 | − | 0.0668931i | ||||
\(599\) | 14.8838 | + | 25.7795i | 0.608134 | + | 1.05332i | 0.991548 | + | 0.129743i | \(0.0414152\pi\) |
−0.383413 | + | 0.923577i | \(0.625251\pi\) | |||||||
\(600\) | 4.66597 | + | 7.29580i | 0.190487 | + | 0.297850i | ||||
\(601\) | 13.1980 | 0.538359 | 0.269180 | − | 0.963090i | \(-0.413247\pi\) | ||||
0.269180 | + | 0.963090i | \(0.413247\pi\) | |||||||
\(602\) | 0.125906 | − | 2.15216i | 0.00513155 | − | 0.0877155i | ||||
\(603\) | −10.3831 | + | 8.50906i | −0.422832 | + | 0.346516i | ||||
\(604\) | 12.9363 | + | 7.46876i | 0.526369 | + | 0.303900i | ||||
\(605\) | 0.523065 | + | 1.63735i | 0.0212656 | + | 0.0665676i | ||||
\(606\) | −28.8377 | + | 14.7999i | −1.17145 | + | 0.601204i | ||||
\(607\) | −31.1269 | + | 8.34043i | −1.26340 | + | 0.338528i | −0.827500 | − | 0.561466i | \(-0.810237\pi\) |
−0.435903 | + | 0.899994i | \(0.643571\pi\) | |||||||
\(608\) | −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 | ||||
\(612\) | −10.7762 | − | 4.06445i | −0.435600 | − | 0.164296i | ||||
\(613\) | 38.3608 | + | 10.2788i | 1.54938 | + | 0.415155i | 0.929282 | − | 0.369370i | \(-0.120427\pi\) |
0.620097 | + | 0.784525i | \(0.287093\pi\) | |||||||
\(614\) | 15.5227 | − | 26.8861i | 0.626444 | − | 1.08503i | ||||
\(615\) | −25.9816 | + | 14.9304i | −1.04768 | + | 0.602053i | ||||
\(616\) | 1.83311 | + | 8.88935i | 0.0738582 | + | 0.358162i | ||||
\(617\) | 7.74923 | − | 7.74923i | 0.311972 | − | 0.311972i | −0.533701 | − | 0.845673i | \(-0.679199\pi\) |
0.845673 | + | 0.533701i | \(0.179199\pi\) | |||||||
\(618\) | 3.24227 | + | 15.0374i | 0.130423 | + | 0.604893i | ||||
\(619\) | −1.24931 | + | 0.721289i | −0.0502140 | + | 0.0289911i | −0.524897 | − | 0.851166i | \(-0.675896\pi\) |
0.474683 | + | 0.880157i | \(0.342563\pi\) | |||||||
\(620\) | 15.2723 | − | 4.87888i | 0.613351 | − | 0.195940i | ||||
\(621\) | −3.72830 | + | 4.68754i | −0.149612 | + | 0.188104i | ||||
\(622\) | 7.79284 | + | 7.79284i | 0.312465 | + | 0.312465i | ||||
\(623\) | −3.38950 | − | 0.198294i | −0.135798 | − | 0.00794447i | ||||
\(624\) | −9.48553 | − | 0.469313i | −0.379725 | − | 0.0187876i | ||||
\(625\) | −24.5518 | + | 4.71290i | −0.982070 | + | 0.188516i | ||||
\(626\) | 7.95515 | − | 4.59291i | 0.317952 | − | 0.183569i | ||||
\(627\) | 12.5450 | − | 38.9970i | 0.500998 | − | 1.55739i | ||||
\(628\) | −3.64642 | − | 13.6086i | −0.145508 | − | 0.543044i | ||||
\(629\) | 18.9915 | 0.757241 | ||||||||
\(630\) | −10.5063 | + | 14.3044i | −0.418582 | + | 0.569902i | ||||
\(631\) | −17.0499 | −0.678748 | −0.339374 | − | 0.940652i | \(-0.610215\pi\) | ||||
−0.339374 | + | 0.940652i | \(0.610215\pi\) | |||||||
\(632\) | 1.48722 | + | 5.55038i | 0.0591584 | + | 0.220782i | ||||
\(633\) | −1.37322 | + | 4.26877i | −0.0545807 | + | 0.169668i | ||||
\(634\) | −4.40770 | + | 2.54478i | −0.175052 | + | 0.101066i | ||||
\(635\) | 14.3065 | − | 0.678821i | 0.567738 | − | 0.0269382i | ||||
\(636\) | 1.65030 | + | 0.0816513i | 0.0654385 | + | 0.00323768i | ||||
\(637\) | −5.54321 | − | 37.9798i | −0.219630 | − | 1.50482i | ||||
\(638\) | 5.71550 | + | 5.71550i | 0.226279 | + | 0.226279i | ||||
\(639\) | −3.08414 | + | 4.29757i | −0.122007 | + | 0.170009i | ||||
\(640\) | −1.02500 | + | 1.98730i | −0.0405166 | + | 0.0785551i | ||||
\(641\) | −14.6651 | + | 8.46692i | −0.579238 | + | 0.334423i | −0.760831 | − | 0.648951i | \(-0.775208\pi\) |
0.181592 | + | 0.983374i | \(0.441875\pi\) | |||||||
\(642\) | 2.47272 | + | 11.4683i | 0.0975905 | + | 0.452617i | ||||
\(643\) | 22.8061 | − | 22.8061i | 0.899385 | − | 0.899385i | −0.0959964 | − | 0.995382i | \(-0.530604\pi\) |
0.995382 | + | 0.0959964i | \(0.0306037\pi\) | |||||||
\(644\) | −2.89463 | − | 0.960004i | −0.114064 | − | 0.0378295i | ||||
\(645\) | 3.04663 | + | 0.822955i | 0.119961 | + | 0.0324038i | ||||
\(646\) | −13.2338 | + | 22.9216i | −0.520677 | + | 0.901838i | ||||
\(647\) | −38.0837 | − | 10.2045i | −1.49723 | − | 0.401181i | −0.585056 | − | 0.810993i | \(-0.698928\pi\) |
−0.912170 | + | 0.409812i | \(0.865594\pi\) | |||||||
\(648\) | −3.99186 | + | 8.06629i | −0.156815 | + | 0.316874i | ||||
\(649\) | −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 | ||||
\(653\) | −31.6844 | + | 8.48981i | −1.23991 | + | 0.332232i | −0.818429 | − | 0.574607i | \(-0.805155\pi\) |
−0.421477 | + | 0.906839i | \(0.638488\pi\) | |||||||
\(654\) | −21.8052 | + | 11.1907i | −0.852651 | + | 0.437592i | ||||
\(655\) | 26.0137 | − | 8.31030i | 1.01644 | − | 0.324710i | ||||
\(656\) | −6.70060 | − | 3.86859i | −0.261614 | − | 0.151043i | ||||
\(657\) | 13.4453 | + | 16.4065i | 0.524551 | + | 0.640078i | ||||
\(658\) | −19.4889 | − | 12.8252i | −0.759756 | − | 0.499980i | ||||
\(659\) | −9.95001 | −0.387597 | −0.193799 | − | 0.981041i | \(-0.562081\pi\) | ||||
−0.193799 | + | 0.981041i | \(0.562081\pi\) | |||||||
\(660\) | −13.2865 | − | 0.0268874i | −0.517174 | − | 0.00104659i | ||||
\(661\) | −17.3986 | − | 30.1353i | −0.676727 | − | 1.17213i | −0.975961 | − | 0.217946i | \(-0.930064\pi\) |
0.299233 | − | 0.954180i | \(-0.403269\pi\) | |||||||
\(662\) | −32.8568 | − | 8.80396i | −1.27702 | − | 0.342176i | ||||
\(663\) | 7.68470 | + | 35.6410i | 0.298449 | + | 1.38418i | ||||
\(664\) | − | 10.0388i | − | 0.389583i | ||||||
\(665\) | 28.5212 | + | 29.1570i | 1.10601 | + | 1.13066i | ||||
\(666\) | 1.46496 | − | 14.7683i | 0.0567660 | − | 0.572259i | ||||
\(667\) | −2.62332 | + | 0.702917i | −0.101575 | + | 0.0272171i | ||||
\(668\) | −2.17245 | + | 8.10770i | −0.0840547 | + | 0.313697i | ||||
\(669\) | −8.64379 | − | 16.8425i | −0.334188 | − | 0.651168i | ||||
\(670\) | 6.73196 | − | 7.40263i | 0.260078 | − | 0.285988i | ||||
\(671\) | 3.03648i | 0.117222i | ||||||||
\(672\) | −4.55594 | − | 0.493374i | −0.175749 | − | 0.0190323i | ||||
\(673\) | −27.9121 | + | 27.9121i | −1.07593 | + | 1.07593i | −0.0790609 | + | 0.996870i | \(0.525192\pi\) |
−0.996870 | + | 0.0790609i | \(0.974808\pi\) | |||||||
\(674\) | 13.4577 | − | 23.3094i | 0.518370 | − | 0.897843i | ||||
\(675\) | −17.3628 | − | 19.3270i | −0.668295 | − | 0.743896i | ||||
\(676\) | 8.53259 | + | 14.7789i | 0.328177 | + | 0.568419i | ||||
\(677\) | 3.05281 | + | 11.3933i | 0.117329 | + | 0.437878i | 0.999451 | − | 0.0331437i | \(-0.0105519\pi\) |
−0.882121 | + | 0.471022i | \(0.843885\pi\) | |||||||
\(678\) | 6.28963 | + | 6.94440i | 0.241552 | + | 0.266698i | ||||
\(679\) | 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 | ||||
\(682\) | −6.36622 | + | 23.7591i | −0.243775 | + | 0.909781i | ||||
\(683\) | −9.54542 | + | 35.6240i | −0.365245 | + | 1.36311i | 0.501843 | + | 0.864959i | \(0.332656\pi\) |
−0.867088 | + | 0.498155i | \(0.834011\pi\) | |||||||
\(684\) | 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 | ||||
\(687\) | −6.01667 | + | 5.44937i | −0.229550 | + | 0.207906i | ||||
\(688\) | 0.210894 | + | 0.787066i | 0.00804024 | + | 0.0300066i | ||||
\(689\) | −2.61538 | − | 4.52997i | −0.0996379 | − | 0.172578i | ||||
\(690\) | 2.23995 | − | 3.86163i | 0.0852733 | − | 0.147010i | ||||
\(691\) | −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 | ||||
\(693\) | −9.75225 | − | 25.4229i | −0.370457 | − | 0.965735i | ||||
\(694\) | − | 27.3632i | − | 1.03869i | ||||||
\(695\) | 15.4396 | + | 14.0408i | 0.585659 | + | 0.532599i | ||||
\(696\) | −3.63075 | + | 1.86335i | −0.137623 | + | 0.0706302i | ||||
\(697\) | −7.68783 | + | 28.6914i | −0.291197 | + | 1.08676i | ||||
\(698\) | 7.27846 | − | 1.95026i | 0.275494 | − | 0.0738183i | ||||
\(699\) | −0.160838 | + | 3.25078i | −0.00608344 | + | 0.122956i | ||||
\(700\) | 6.19319 | − | 11.6895i | 0.234081 | − | 0.441821i | ||||
\(701\) | 7.15756i | 0.270337i | 0.990823 | + | 0.135169i | \(0.0431576\pi\) | ||||
−0.990823 | + | 0.135169i | \(0.956842\pi\) | |||||||
\(702\) | 28.3081 | − | 3.22656i | 1.06842 | − | 0.121778i | ||||
\(703\) | −32.9434 | − | 8.82715i | −1.24248 | − | 0.332922i | ||||
\(704\) | −1.71528 | − | 2.97095i | −0.0646469 | − | 0.111972i | ||||
\(705\) | 24.1980 | − | 24.1003i | 0.911349 | − | 0.907668i | ||||
\(706\) | 14.9295 | 0.561880 | ||||||||
\(707\) | 41.3602 | + | 27.2183i | 1.55551 | + | 1.02365i | ||||
\(708\) | 7.04572 | − | 6.38139i | 0.264794 | − | 0.239827i | ||||
\(709\) | −13.4922 | − | 7.78971i | −0.506709 | − | 0.292549i | 0.224771 | − | 0.974412i | \(-0.427837\pi\) |
−0.731480 | + | 0.681863i | \(0.761170\pi\) | |||||||
\(710\) | 1.80731 | − | 3.50409i | 0.0678273 | − | 0.131506i | ||||
\(711\) | −7.10350 | − | 15.7069i | −0.266402 | − | 0.589055i | ||||
\(712\) | 1.23958 | − | 0.332143i | 0.0464550 | − | 0.0124476i | ||||
\(713\) | −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 | ||||
\(717\) | −9.81890 | + | 30.5228i | −0.366694 | + | 1.13990i | ||||
\(718\) | 29.9296 | + | 8.01962i | 1.11696 | + | 0.299290i | ||||
\(719\) | 2.68898 | − | 4.65745i | 0.100282 | − | 0.173694i | −0.811519 | − | 0.584326i | \(-0.801359\pi\) |
0.911801 | + | 0.410633i | \(0.134692\pi\) | |||||||
\(720\) | 2.06721 | − | 6.38174i | 0.0770403 | − | 0.237834i | ||||
\(721\) | 17.5575 | − | 15.6168i | 0.653877 | − | 0.581599i | ||||
\(722\) | 20.1746 | − | 20.1746i | 0.750822 | − | 0.750822i | ||||
\(723\) | 14.1649 | − | 3.05415i | 0.526799 | − | 0.113585i | ||||
\(724\) | 13.5293 | − | 7.81117i | 0.502814 | − | 0.290300i | ||||
\(725\) | −1.11545 | − | 11.7279i | −0.0414266 | − | 0.435562i | ||||
\(726\) | 0.721881 | − | 1.11875i | 0.0267915 | − | 0.0415205i | ||||
\(727\) | 26.8316 | + | 26.8316i | 0.995128 | + | 0.995128i | 0.999988 | − | 0.00486049i | \(-0.00154715\pi\) |
−0.00486049 | + | 0.999988i | \(0.501547\pi\) | |||||||
\(728\) | 6.50743 | + | 12.9657i | 0.241182 | + | 0.480541i | ||||
\(729\) | 7.89178 | − | 25.8209i | 0.292288 | − | 0.956330i | ||||
\(730\) | −11.6970 | − | 10.6373i | −0.432925 | − | 0.393703i | ||||
\(731\) | 2.70909 | − | 1.56409i | 0.100199 | − | 0.0578500i | ||||
\(732\) | −1.45943 | − | 0.469485i | −0.0539421 | − | 0.0173527i | ||||
\(733\) | −7.10691 | − | 26.5233i | −0.262500 | − | 0.979662i | −0.963763 | − | 0.266760i | \(-0.914047\pi\) |
0.701263 | − | 0.712902i | \(-0.252620\pi\) | |||||||
\(734\) | −10.0105 | −0.369493 | ||||||||
\(735\) | 26.9195 | + | 3.21576i | 0.992940 | + | 0.118615i | ||||
\(736\) | 1.15267 | 0.0424878 | ||||||||
\(737\) | 3.97312 | + | 14.8279i | 0.146352 | + | 0.546193i | ||||
\(738\) | 21.7181 | + | 8.19143i | 0.799455 | + | 0.301531i | ||||
\(739\) | 31.1498 | − | 17.9843i | 1.14586 | − | 0.661565i | 0.197988 | − | 0.980205i | \(-0.436559\pi\) |
0.947876 | + | 0.318640i | \(0.103226\pi\) | |||||||
\(740\) | 0.524267 | + | 11.0492i | 0.0192724 | + | 0.406177i | ||||
\(741\) | 3.23558 | − | 65.3960i | 0.118862 | − | 2.40238i | ||||
\(742\) | −1.13217 | − | 2.25578i | −0.0415631 | − | 0.0828123i | ||||
\(743\) | −11.3545 | − | 11.3545i | −0.416555 | − | 0.416555i | 0.467459 | − | 0.884015i | \(-0.345169\pi\) |
−0.884015 | + | 0.467459i | \(0.845169\pi\) | |||||||
\(744\) | −10.4351 | − | 6.73332i | −0.382568 | − | 0.246855i | ||||
\(745\) | 1.36220 | + | 4.26407i | 0.0499070 | + | 0.156224i | ||||
\(746\) | 12.3892 | − | 7.15292i | 0.453602 | − | 0.261887i | ||||
\(747\) | 4.88510 | + | 29.7177i | 0.178737 | + | 1.08731i | ||||
\(748\) | −9.31267 | + | 9.31267i | −0.340505 | + | 0.340505i | ||||
\(749\) | 13.3903 | − | 11.9101i | 0.489269 | − | 0.435186i | ||||
\(750\) | 14.9031 | + | 12.3652i | 0.544183 | + | 0.451514i | ||||
\(751\) | −1.62249 | + | 2.81024i | −0.0592056 | + | 0.102547i | −0.894109 | − | 0.447849i | \(-0.852190\pi\) |
0.834903 | + | 0.550396i | \(0.185523\pi\) | |||||||
\(752\) | 8.51756 | + | 2.28227i | 0.310604 | + | 0.0832260i | ||||
\(753\) | −47.9885 | − | 15.4374i | −1.74880 | − | 0.562572i | ||||
\(754\) | 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 | 0.633182 | − | 0.774003i | \(-0.281748\pi\) |
−0.774003 | + | 0.633182i | \(0.781748\pi\) | |||||||
\(758\) | 2.89411 | − | 0.775475i | 0.105119 | − | 0.0281665i | ||||
\(759\) | 3.12722 | + | 6.09340i | 0.113511 | + | 0.221177i | ||||
\(760\) | −13.7011 | − | 7.06663i | −0.496990 | − | 0.256334i | ||||
\(761\) | −9.71823 | − | 5.61082i | −0.352286 | − | 0.203392i | 0.313406 | − | 0.949619i | \(-0.398530\pi\) |
−0.665691 | + | 0.746227i | \(0.731863\pi\) | |||||||
\(762\) | −7.44759 | − | 8.22291i | −0.269798 | − | 0.297885i | ||||
\(763\) | 31.2740 | + | 20.5808i | 1.13219 | + | 0.745074i | ||||
\(764\) | −15.1384 | −0.547690 | ||||||||
\(765\) | −25.7191 | − | 1.32468i | −0.929876 | − | 0.0478938i | ||||
\(766\) | −4.19278 | − | 7.26211i | −0.151491 | − | 0.262391i | ||||
\(767\) | −29.0679 | − | 7.78872i | −1.04958 | − | 0.281234i | ||||
\(768\) | 1.69314 | − | 0.365065i | 0.0610960 | − | 0.0131731i | ||||
\(769\) | 23.3486i | 0.841972i | 0.907067 | + | 0.420986i | \(0.138316\pi\) | ||||
−0.907067 | + | 0.420986i | \(0.861684\pi\) | |||||||
\(770\) | 9.95336 | + | 17.6871i | 0.358694 | + | 0.637400i | ||||
\(771\) | 33.2294 | + | 1.64408i | 1.19673 | + | 0.0592103i | ||||
\(772\) | −16.2631 | + | 4.35769i | −0.585323 | + | 0.156837i | ||||
\(773\) | −5.68254 | + | 21.2075i | −0.204387 | + | 0.762782i | 0.785249 | + | 0.619181i | \(0.212535\pi\) |
−0.989636 | + | 0.143602i | \(0.954132\pi\) | |||||||
\(774\) | −1.00730 | − | 2.22730i | −0.0362068 | − | 0.0800587i | ||||
\(775\) | 29.2105 | − | 20.7842i | 1.04927 | − | 0.746591i | ||||
\(776\) | 3.05240i | 0.109575i | ||||||||
\(777\) | −20.7387 | + | 9.15524i | −0.743997 | + | 0.328442i | ||||
\(778\) | −18.5178 | + | 18.5178i | −0.663895 | + | 0.663895i | ||||
\(779\) | 26.6712 | − | 46.1958i | 0.955594 | − | 1.65514i | ||||
\(780\) | −20.5237 | + | 5.45482i | −0.734867 | + | 0.195314i | ||||
\(781\) | 3.02444 | + | 5.23848i | 0.108223 | + | 0.187448i | ||||
\(782\) | −1.14531 | − | 4.27437i | −0.0409563 | − | 0.152851i | ||||
\(783\) | 9.84127 | − | 7.28282i | 0.351698 | − | 0.260267i | ||||
\(784\) | 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 | ||||
\(787\) | 10.9946 | − | 41.0323i | 0.391914 | − | 1.46264i | −0.435060 | − | 0.900402i | \(-0.643273\pi\) |
0.826973 | − | 0.562241i | \(-0.190061\pi\) | |||||||
\(788\) | 1.19621 | − | 4.46430i | 0.0426131 | − | 0.159034i | ||||
\(789\) | −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 | ||||
\(792\) | 6.52341 | + | 7.96012i | 0.231799 | + | 0.282850i | ||||
\(793\) | 1.25613 | + | 4.68794i | 0.0446064 | + | 0.166474i | ||||
\(794\) | 3.48376 | + | 6.03404i | 0.123634 | + | 0.214140i | ||||
\(795\) | 3.57072 | − | 0.949032i | 0.126641 | − | 0.0336587i | ||||
\(796\) | 2.51565 | − | 4.35724i | 0.0891649 | − | 0.154438i | ||||
\(797\) | 7.12389 | − | 7.12389i | 0.252341 | − | 0.252341i | −0.569589 | − | 0.821930i | \(-0.692897\pi\) |
0.821930 | + | 0.569589i | \(0.192897\pi\) | |||||||
\(798\) | 3.40146 | − | 31.4100i | 0.120410 | − | 1.11190i | ||||
\(799\) | − | 33.8529i | − | 1.19763i | ||||||
\(800\) | −0.830995 | + | 4.93046i | −0.0293801 | + | 0.174318i | ||||
\(801\) | −3.50785 | + | 1.58644i | −0.123944 | + | 0.0560539i | ||||
\(802\) | 4.99194 | − | 18.6302i | 0.176272 | − | 0.657855i | ||||
\(803\) | 23.4298 | − | 6.27799i | 0.826819 | − | 0.221545i | ||||
\(804\) | −7.74107 | − | 0.383003i | −0.273007 | − | 0.0135075i | ||||
\(805\) | −6.81885 | − | 0.0751664i | −0.240333 | − | 0.00264927i | ||||
\(806\) | 39.3145i | 1.38479i | ||||||||
\(807\) | −8.95390 | + | 1.93059i | −0.315192 | + | 0.0679599i | ||||
\(808\) | −18.0764 | − | 4.84355i | −0.635925 | − | 0.170396i | ||||
\(809\) | −23.4131 | − | 40.5526i | −0.823159 | − | 1.42575i | −0.903318 | − | 0.428971i | \(-0.858876\pi\) |
0.0801590 | − | 0.996782i | \(-0.474457\pi\) | |||||||
\(810\) | −3.01401 | + | 19.8976i | −0.105902 | + | 0.699132i | ||||
\(811\) | −18.0213 | −0.632815 | −0.316408 | − | 0.948623i | \(-0.602477\pi\) | ||||
−0.316408 | + | 0.948623i | \(0.602477\pi\) | |||||||
\(812\) | 5.20739 | + | 3.42688i | 0.182744 | + | 0.120260i | ||||
\(813\) | −26.2325 | − | 28.9634i | −0.920013 | − | 1.01579i | ||||
\(814\) | −14.6970 | − | 8.48533i | −0.515131 | − | 0.297411i | ||||
\(815\) | 11.9874 | + | 6.18280i | 0.419902 | + | 0.216574i | ||||
\(816\) | −3.03609 | − | 5.91585i | −0.106284 | − | 0.207096i | ||||
\(817\) | −5.42626 | + | 1.45396i | −0.189841 | + | 0.0508677i | ||||
\(818\) | −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 | \(0.482523\pi\) | |||||||
\(822\) | 5.80326 | + | 1.86685i | 0.202412 | + | 0.0651140i | ||||
\(823\) | 0.312415 | + | 0.0837114i | 0.0108901 | + | 0.00291799i | 0.264260 | − | 0.964451i | \(-0.414872\pi\) |
−0.253370 | + | 0.967369i | \(0.581539\pi\) | |||||||
\(824\) | −4.44068 | + | 7.69148i | −0.154698 | + | 0.267946i | ||||
\(825\) | −28.3187 | + | 8.98355i | −0.985930 | + | 0.312767i | ||||
\(826\) | −13.7825 | − | 4.57096i | −0.479553 | − | 0.159044i | ||||
\(827\) | −31.9770 | + | 31.9770i | −1.11195 | + | 1.11195i | −0.119062 | + | 0.992887i | \(0.537989\pi\) |
−0.992887 | + | 0.119062i | \(0.962011\pi\) | |||||||
\(828\) | −3.41220 | + | 0.560910i | −0.118582 | + | 0.0194930i | ||||
\(829\) | −35.8756 | + | 20.7128i | −1.24601 | + | 0.719385i | −0.970311 | − | 0.241859i | \(-0.922243\pi\) |
−0.275700 | + | 0.961244i | \(0.588910\pi\) | |||||||
\(830\) | −6.83097 | − | 21.3829i | −0.237107 | − | 0.742213i | ||||
\(831\) | 36.6267 | + | 23.6337i | 1.27057 | + | 0.819845i | ||||
\(832\) | −3.87719 | − | 3.87719i | −0.134417 | − | 0.134417i | ||||
\(833\) | 21.0885 | − | 16.6570i | 0.730674 | − | 0.577130i | ||||
\(834\) | 0.798829 | − | 16.1455i | 0.0276612 | − | 0.559074i | ||||
\(835\) | 0.889553 | + | 18.7478i | 0.0307842 | + | 0.648795i | ||||
\(836\) | 20.4826 | − | 11.8256i | 0.708405 | − | 0.408998i | ||||
\(837\) | 34.1672 | + | 14.8545i | 1.18099 | + | 0.513448i | ||||
\(838\) | 2.30631 | + | 8.60727i | 0.0796702 | + | 0.297333i | ||||
\(839\) | −17.8925 | −0.617717 | −0.308858 | − | 0.951108i | \(-0.599947\pi\) | ||||
−0.308858 | + | 0.951108i | \(0.599947\pi\) | |||||||
\(840\) | −10.0400 | + | 2.04921i | −0.346411 | + | 0.0707045i | ||||
\(841\) | −23.4485 | −0.808569 | ||||||||
\(842\) | −4.86616 | − | 18.1608i | −0.167699 | − | 0.625861i | ||||
\(843\) | 48.5876 | + | 15.6302i | 1.67345 | + | 0.538332i | ||||
\(844\) | −2.24210 | + | 1.29448i | −0.0771764 | + | 0.0445578i | ||||
\(845\) | 28.2309 | + | 25.6733i | 0.971174 | + | 0.883187i | ||||
\(846\) | −26.3249 | − | 2.61133i | −0.905068 | − | 0.0897794i | ||||
\(847\) | −2.03032 | − | 0.118778i | −0.0697626 | − | 0.00408127i | ||||
\(848\) | 0.674555 | + | 0.674555i | 0.0231643 | + | 0.0231643i | ||||
\(849\) | 0.977585 | − | 1.51503i | 0.0335506 | − | 0.0519956i | ||||
\(850\) | 19.1091 | − | 1.81748i | 0.655435 | − | 0.0623389i | ||||
\(851\) | 4.93820 | − | 2.85107i | 0.169279 | − | 0.0977335i | ||||
\(852\) | −2.98541 | + | 0.643696i | −0.102278 | + | 0.0220527i | ||||
\(853\) | 38.0442 | − | 38.0442i | 1.30261 | − | 1.30261i | 0.375983 | − | 0.926627i | \(-0.377305\pi\) |
0.926627 | − | 0.375983i | \(-0.122695\pi\) | |||||||
\(854\) | 0.472967 | + | 2.29357i | 0.0161846 | + | 0.0784844i | ||||
\(855\) | 43.9976 | + | 14.2519i | 1.50469 | + | 0.487406i | ||||
\(856\) | −3.38669 | + | 5.86591i | −0.115755 | + | 0.200493i | ||||
\(857\) | −4.07290 | − | 1.09133i | −0.139127 | − | 0.0372791i | 0.188583 | − | 0.982057i | \(-0.439610\pi\) |
−0.327711 | + | 0.944778i | \(0.606277\pi\) | |||||||
\(858\) | 9.97728 | − | 31.0151i | 0.340619 | − | 1.05884i | ||||
\(859\) | 34.2434 | + | 19.7704i | 1.16837 | + | 0.674558i | 0.953295 | − | 0.302040i | \(-0.0976677\pi\) |
0.215073 | + | 0.976598i | \(0.431001\pi\) | |||||||
\(860\) | 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 | ||||
\(863\) | −18.0311 | + | 4.83143i | −0.613787 | + | 0.164464i | −0.552302 | − | 0.833644i | \(-0.686250\pi\) |
−0.0614855 | + | 0.998108i | \(0.519584\pi\) | |||||||
\(864\) | −4.83451 | + | 1.90461i | −0.164473 | + | 0.0647961i | ||||
\(865\) | −12.5319 | + | 24.2974i | −0.426099 | + | 0.826136i | ||||
\(866\) | 34.1713 | + | 19.7288i | 1.16119 | + | 0.670411i | ||||
\(867\) | 2.90341 | − | 2.62965i | 0.0986051 | − | 0.0893078i | ||||
\(868\) | −1.10790 | + | 18.9377i | −0.0376046 | + | 0.642789i | ||||
\(869\) | −19.7126 | −0.668703 | ||||||||
\(870\) | −6.46565 | + | 6.43954i | −0.219206 | + | 0.218321i | ||||
\(871\) | 12.2680 | + | 21.2488i | 0.415685 | + | 0.719988i | ||||
\(872\) | −13.6682 | − | 3.66239i | −0.462864 | − | 0.124024i | ||||
\(873\) | −1.48536 | − | 9.03593i | −0.0502718 | − | 0.305820i | ||||
\(874\) | 7.94681i | 0.268805i | ||||||||
\(875\) | 5.23746 | − | 29.1130i | 0.177058 | − | 0.984200i | ||||
\(876\) | −0.605189 | + | 12.2318i | −0.0204474 | + | 0.413274i | ||||
\(877\) | 47.6148 | − | 12.7584i | 1.60784 | − | 0.430819i | 0.660440 | − | 0.750878i | \(-0.270370\pi\) |
0.947397 | + | 0.320060i | \(0.103703\pi\) | |||||||
\(878\) | −4.13747 | + | 15.4413i | −0.139633 | + | 0.521117i | ||||
\(879\) | −27.2663 | + | 13.9935i | −0.919671 | + | 0.471987i | ||||
\(880\) | −5.67517 | − | 5.16101i | −0.191310 | − | 0.173978i | ||||
\(881\) | − | 58.4991i | − | 1.97089i | −0.170007 | − | 0.985443i | \(-0.554379\pi\) | ||
0.170007 | − | 0.985443i | \(-0.445621\pi\) | |||||||
\(882\) | −11.3262 | − | 17.6838i | −0.381371 | − | 0.595446i | ||||
\(883\) | −4.87858 | + | 4.87858i | −0.164177 | + | 0.164177i | −0.784414 | − | 0.620237i | \(-0.787036\pi\) |
0.620237 | + | 0.784414i | \(0.287036\pi\) | |||||||
\(884\) | −10.5251 | + | 18.2300i | −0.353998 | + | 0.613142i | ||||
\(885\) | 10.6653 | − | 18.3868i | 0.358509 | − | 0.618064i | ||||
\(886\) | −9.44625 | − | 16.3614i | −0.317353 | − | 0.549671i | ||||
\(887\) | −11.6286 | − | 43.3986i | −0.390451 | − | 1.45718i | −0.829393 | − | 0.558666i | \(-0.811313\pi\) |
0.438942 | − | 0.898515i | \(-0.355353\pi\) | |||||||
\(888\) | 6.35071 | − | 5.75191i | 0.213116 | − | 0.193022i | ||||
\(889\) | −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 | ||||
\(892\) | 2.82885 | − | 10.5574i | 0.0947169 | − | 0.353488i | ||||
\(893\) | −15.7347 | + | 58.7226i | −0.526540 | + | 1.96508i | ||||
\(894\) | 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 | ||||
\(897\) | 7.34874 | + | 8.11378i | 0.245367 | + | 0.270911i | ||||
\(898\) | −1.75667 | − | 6.55599i | −0.0586209 | − | 0.218776i | ||||
\(899\) | 8.44687 | + | 14.6304i | 0.281719 | + | 0.487951i | ||||
\(900\) | 0.0607099 | − | 14.9999i | 0.00202366 | − | 0.499996i | ||||
\(901\) | 1.83116 | − | 3.17167i | 0.0610049 | − | 0.105664i | ||||
\(902\) | 18.7686 | − | 18.7686i | 0.624926 | − | 0.624926i | ||||
\(903\) | −2.20432 | + | 3.01395i | −0.0733550 | + | 0.100298i | ||||
\(904\) | 5.40938i | 0.179913i | ||||||||
\(905\) | 23.5026 | − | 25.8440i | 0.781253 | − | 0.859084i | ||||
\(906\) | −11.8132 | − | 23.0182i | −0.392468 | − | 0.764727i | ||||
\(907\) | −14.0941 | + | 52.6001i | −0.467988 | + | 1.74656i | 0.178798 | + | 0.983886i | \(0.442779\pi\) |
−0.646787 | + | 0.762671i | \(0.723888\pi\) | |||||||
\(908\) | −7.32054 | + | 1.96153i | −0.242941 | + | 0.0650957i | ||||
\(909\) | 55.8679 | + | 5.54189i | 1.85302 | + | 0.183813i | ||||
\(910\) | 22.6835 | + | 23.1892i | 0.751952 | + | 0.768714i | ||||
\(911\) | 7.37432i | 0.244322i | 0.992510 | + | 0.122161i | \(0.0389824\pi\) | ||||
−0.992510 | + | 0.122161i | \(0.961018\pi\) | |||||||
\(912\) | 2.51686 | + | 11.6730i | 0.0833417 | + | 0.386532i | ||||
\(913\) | 33.2653 | + | 8.91342i | 1.10092 | + | 0.294991i | ||||
\(914\) | 2.65569 | + | 4.59979i | 0.0878424 | + | 0.152147i | ||||
\(915\) | −3.42808 | − | 0.00693731i | −0.113329 | − | 0.000229340i | ||||
\(916\) | −4.68671 | −0.154853 | ||||||||
\(917\) | −1.88711 | + | 32.2571i | −0.0623180 | + | 1.06522i | ||||
\(918\) | 11.8664 | + | 16.0351i | 0.391650 | + | 0.529237i | ||||
\(919\) | 39.9069 | + | 23.0403i | 1.31641 | + | 0.760028i | 0.983149 | − | 0.182808i | \(-0.0585186\pi\) |
0.333258 | + | 0.942836i | \(0.391852\pi\) | |||||||
\(920\) | 2.45520 | − | 0.784336i | 0.0809456 | − | 0.0258588i | ||||
\(921\) | −47.8397 | + | 24.5520i | −1.57637 | + | 0.809016i | ||||
\(922\) | 27.1414 | − | 7.27251i | 0.893854 | − | 0.239507i | ||||
\(923\) | 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 | ||||
\(927\) | 9.40279 | − | 24.9298i | 0.308828 | − | 0.818802i | ||||
\(928\) | −2.27587 | − | 0.609819i | −0.0747093 | − | 0.0200183i | ||||
\(929\) | −1.40166 | + | 2.42774i | −0.0459869 | + | 0.0796516i | −0.888103 | − | 0.459645i | \(-0.847977\pi\) |
0.842116 | + | 0.539297i | \(0.181310\pi\) | |||||||
\(930\) | −26.8086 | − | 7.24152i | −0.879088 | − | 0.237459i | ||||
\(931\) | −44.3230 | + | 19.0920i | −1.45263 | + | 0.625714i | ||||
\(932\) | −1.32875 | + | 1.32875i | −0.0435246 | + | 0.0435246i | ||||
\(933\) | −4.02329 | − | 18.6597i | −0.131717 | − | 0.610890i | ||||
\(934\) | −7.93138 | + | 4.57919i | −0.259523 | + | 0.149836i | ||||
\(935\) | −13.4993 | + | 26.1730i | −0.441475 | + | 0.855949i | ||||
\(936\) | 13.3642 | + | 9.59081i | 0.436824 | + | 0.313485i | ||||
\(937\) | 9.16753 | + | 9.16753i | 0.299490 | + | 0.299490i | 0.840814 | − | 0.541324i | \(-0.182077\pi\) |
−0.541324 | + | 0.840814i | \(0.682077\pi\) | |||||||
\(938\) | 5.31067 | + | 10.5812i | 0.173400 | + | 0.345489i | ||||
\(939\) | −15.8909 | − | 0.786228i | −0.518578 | − | 0.0256576i | ||||
\(940\) | 19.6956 | − | 0.934521i | 0.642398 | − | 0.0304807i | ||||
\(941\) | 16.1104 | − | 9.30133i | 0.525183 | − | 0.303215i | −0.213869 | − | 0.976862i | \(-0.568607\pi\) |
0.739053 | + | 0.673648i | \(0.235273\pi\) | |||||||
\(942\) | −7.47286 | + | 23.2300i | −0.243479 | + | 0.756873i | ||||
\(943\) | 2.30825 | + | 8.61450i | 0.0751669 | + | 0.280527i | ||||
\(944\) | 5.48830 | 0.178629 | ||||||||
\(945\) | 28.7238 | − | 10.9519i | 0.934385 | − | 0.356264i | ||||
\(946\) | −2.79532 | −0.0908837 | ||||||||
\(947\) | 1.20259 | + | 4.48811i | 0.0390788 | + | 0.145844i | 0.982709 | − | 0.185158i | \(-0.0592798\pi\) |
−0.943630 | + | 0.331002i | \(0.892613\pi\) | |||||||
\(948\) | 3.04786 | − | 9.47450i | 0.0989898 | − | 0.307717i | ||||
\(949\) | 33.5755 | − | 19.3848i | 1.08991 | − | 0.629258i | ||||
\(950\) | −33.9920 | − | 5.72912i | −1.10285 | − | 0.185877i | ||||
\(951\) | 8.80462 | + | 0.435624i | 0.285509 | + | 0.0141261i | ||||
\(952\) | −5.58366 | + | 8.48477i | −0.180967 | + | 0.274993i | ||||
\(953\) | −12.6014 | − | 12.6014i | −0.408198 | − | 0.408198i | 0.472912 | − | 0.881110i | \(-0.343203\pi\) |
−0.881110 | + | 0.472912i | \(0.843203\pi\) | |||||||
\(954\) | −2.32512 | − | 1.66861i | −0.0752784 | − | 0.0540233i | ||||
\(955\) | −32.2452 | + | 10.3010i | −1.04343 | + | 0.333333i | ||||
\(956\) | −16.0316 | + | 9.25587i | −0.518500 | + | 0.299356i | ||||
\(957\) | −2.95079 | − | 13.6855i | −0.0953857 | − | 0.442391i | ||||
\(958\) | −10.9806 | + | 10.9806i | −0.354768 | + | 0.354768i | ||||
\(959\) | −1.88070 | − | 9.12011i | −0.0607309 | − | 0.294504i | ||||
\(960\) | 3.35801 | − | 1.92970i | 0.108379 | − | 0.0622808i | ||||
\(961\) | −10.2047 | + | 17.6750i | −0.329183 | + | 0.570162i | ||||
\(962\) | −26.2006 | − | 7.02042i | −0.844740 | − | 0.226347i | ||||
\(963\) | 7.17103 | − | 19.0127i | 0.231083 | − | 0.612676i | ||||
\(964\) | 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 | 0.967081 | − | 0.254468i | \(-0.0819003\pi\) |
−0.254468 | + | 0.967081i | \(0.581900\pi\) | |||||||
\(968\) | 0.742508 | − | 0.198954i | 0.0238651 | − | 0.00639464i | ||||
\(969\) | 40.7856 | − | 20.9317i | 1.31022 | − | 0.672423i | ||||
\(970\) | 2.07702 | + | 6.50167i | 0.0666890 | + | 0.208756i | ||||
\(971\) | −13.6776 | − | 7.89677i | −0.438935 | − | 0.253419i | 0.264211 | − | 0.964465i | \(-0.414889\pi\) |
−0.703146 | + | 0.711046i | \(0.748222\pi\) | |||||||
\(972\) | 13.3846 | − | 7.99072i | 0.429312 | − | 0.256303i | ||||
\(973\) | −22.0692 | + | 11.0765i | −0.707507 | + | 0.355095i | ||||
\(974\) | 3.28607 | 0.105292 | ||||||||
\(975\) | −40.0041 | + | 25.5843i | −1.28116 | + | 0.819354i | ||||
\(976\) | −0.442564 | − | 0.766543i | −0.0141661 | − | 0.0245365i | ||||
\(977\) | 45.5260 | + | 12.1987i | 1.45651 | + | 0.390270i | 0.898282 | − | 0.439420i | \(-0.144816\pi\) |
0.558225 | + | 0.829690i | \(0.311483\pi\) | |||||||
\(978\) | −2.20208 | − | 10.2130i | −0.0704146 | − | 0.326577i | ||||
\(979\) | 4.40244i | 0.140703i | ||||||||
\(980\) | 10.2731 | + | 11.8094i | 0.328163 | + | 0.377238i | ||||
\(981\) | 42.2438 | + | 4.19043i | 1.34874 | + | 0.133790i | ||||
\(982\) | 11.2825 | − | 3.02313i | 0.360039 | − | 0.0964721i | ||||
\(983\) | 10.9653 | − | 40.9232i | 0.349740 | − | 1.30525i | −0.537236 | − | 0.843432i | \(-0.680531\pi\) |
0.886976 | − | 0.461816i | \(-0.152802\pi\) | |||||||
\(984\) | 6.11889 | + | 11.9227i | 0.195063 | + | 0.380082i | ||||
\(985\) | −0.489809 | − | 10.3230i | −0.0156066 | − | 0.328918i | ||||
\(986\) | 9.04543i | 0.288065i | ||||||||
\(987\) | 16.3195 | + | 36.9674i | 0.519455 | + | 1.17668i | ||||
\(988\) | 26.7305 | − | 26.7305i | 0.850409 | − | 0.850409i | ||||
\(989\) | 0.469614 | − | 0.813395i | 0.0149328 | − | 0.0258645i | ||||
\(990\) | 19.3115 | + | 12.5163i | 0.613759 | + | 0.397795i | ||||
\(991\) | 0.654060 | + | 1.13287i | 0.0207769 | + | 0.0359867i | 0.876227 | − | 0.481899i | \(-0.160053\pi\) |
−0.855450 | + | 0.517885i | \(0.826719\pi\) | |||||||
\(992\) | −1.85574 | − | 6.92572i | −0.0589198 | − | 0.219892i | ||||
\(993\) | 39.5512 | + | 43.6686i | 1.25512 | + | 1.38578i | ||||
\(994\) | 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 | ||||
\(997\) | −13.1718 | + | 49.1577i | −0.417154 | + | 1.55684i | 0.363327 | + | 0.931662i | \(0.381641\pi\) |
−0.780482 | + | 0.625179i | \(0.785026\pi\) | |||||||
\(998\) | −0.750174 | + | 2.79969i | −0.0237463 | + | 0.0886225i | ||||
\(999\) | −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.107.4 | yes | 64 | |
3.2 | odd | 2 | inner | 210.2.x.a.107.13 | yes | 64 | |
5.3 | odd | 4 | inner | 210.2.x.a.23.1 | ✓ | 64 | |
7.4 | even | 3 | inner | 210.2.x.a.137.16 | yes | 64 | |
15.8 | even | 4 | inner | 210.2.x.a.23.16 | yes | 64 | |
21.11 | odd | 6 | inner | 210.2.x.a.137.1 | yes | 64 | |
35.18 | odd | 12 | inner | 210.2.x.a.53.13 | yes | 64 | |
105.53 | even | 12 | inner | 210.2.x.a.53.4 | yes | 64 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
210.2.x.a.23.1 | ✓ | 64 | 5.3 | odd | 4 | inner | |
210.2.x.a.23.16 | yes | 64 | 15.8 | even | 4 | inner | |
210.2.x.a.53.4 | yes | 64 | 105.53 | even | 12 | inner | |
210.2.x.a.53.13 | yes | 64 | 35.18 | odd | 12 | inner | |
210.2.x.a.107.4 | yes | 64 | 1.1 | even | 1 | trivial | |
210.2.x.a.107.13 | yes | 64 | 3.2 | odd | 2 | inner | |
210.2.x.a.137.1 | yes | 64 | 21.11 | odd | 6 | inner | |
210.2.x.a.137.16 | yes | 64 | 7.4 | even | 3 | inner |