Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [667,2,Mod(16,667)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(667, base_ring=CyclotomicField(154))
chi = DirichletCharacter(H, H._module([56, 22]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("667.16");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 667 = 23 \cdot 29 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 667.s (of order \(77\), degree \(60\), 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: | \(5.32602181482\) |
Analytic rank: | \(0\) |
Dimension: | \(3480\) |
Relative dimension: | \(58\) over \(\Q(\zeta_{77})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{77}]$ |
Embedding invariants
Embedding label | 16.20 | ||
Character | \(\chi\) | \(=\) | 667.16 |
Dual form | 667.2.s.a.542.20 |
$q$-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 \(\left(\mathbb{Z}/667\mathbb{Z}\right)^\times\).
\(n\) | \(465\) | \(553\) |
\(\chi(n)\) | \(e\left(\frac{4}{11}\right)\) | \(e\left(\frac{1}{7}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.16206 | + | 0.502303i | −0.821697 | + | 0.355182i | −0.765659 | − | 0.643246i | \(-0.777587\pi\) |
−0.0560381 | + | 0.998429i | \(0.517847\pi\) | |||||||
\(3\) | 0.00409113 | − | 0.0399700i | 0.00236202 | − | 0.0230767i | −0.993555 | − | 0.113354i | \(-0.963840\pi\) |
0.995917 | + | 0.0902778i | \(0.0287755\pi\) | |||||||
\(4\) | −0.272219 | + | 0.289411i | −0.136110 | + | 0.144705i | ||||
\(5\) | 0.0343445 | − | 1.68333i | 0.0153593 | − | 0.752806i | −0.918552 | − | 0.395301i | \(-0.870640\pi\) |
0.933911 | − | 0.357505i | \(-0.116373\pi\) | |||||||
\(6\) | 0.0153230 | + | 0.0485024i | 0.00625558 | + | 0.0198010i | ||||
\(7\) | −0.164829 | + | 0.403743i | −0.0622994 | + | 0.152601i | −0.953819 | − | 0.300381i | \(-0.902886\pi\) |
0.891520 | + | 0.452981i | \(0.149640\pi\) | |||||||
\(8\) | 1.03154 | − | 2.85425i | 0.364705 | − | 1.00913i | ||||
\(9\) | 2.93621 | + | 0.607436i | 0.978737 | + | 0.202479i | ||||
\(10\) | 0.805630 | + | 1.97337i | 0.254763 | + | 0.624034i | ||||
\(11\) | −4.75096 | + | 2.53166i | −1.43247 | + | 0.763323i | −0.990988 | − | 0.133949i | \(-0.957234\pi\) |
−0.441479 | + | 0.897272i | \(0.645546\pi\) | |||||||
\(12\) | 0.0104541 | + | 0.0120646i | 0.00301783 | + | 0.00348276i | ||||
\(13\) | −1.29251 | + | 2.31071i | −0.358478 | + | 0.640875i | −0.991030 | − | 0.133643i | \(-0.957332\pi\) |
0.632551 | + | 0.774518i | \(0.282008\pi\) | |||||||
\(14\) | −0.0112616 | − | 0.551966i | −0.00300980 | − | 0.147519i | ||||
\(15\) | −0.0671421 | − | 0.00825946i | −0.0173360 | − | 0.00213258i | ||||
\(16\) | 0.186390 | + | 3.04180i | 0.0465976 | + | 0.760449i | ||||
\(17\) | −0.143303 | + | 0.996695i | −0.0347561 | + | 0.241734i | −0.999792 | − | 0.0203828i | \(-0.993512\pi\) |
0.965036 | + | 0.262117i | \(0.0844206\pi\) | |||||||
\(18\) | −3.71716 | + | 0.768996i | −0.876142 | + | 0.181254i | ||||
\(19\) | 4.22243 | − | 4.48908i | 0.968692 | − | 1.02987i | −0.0308479 | − | 0.999524i | \(-0.509821\pi\) |
0.999540 | − | 0.0303424i | \(-0.00965976\pi\) | |||||||
\(20\) | 0.477823 | + | 0.468174i | 0.106844 | + | 0.104687i | ||||
\(21\) | 0.0154633 | + | 0.00823998i | 0.00337437 | + | 0.00179811i | ||||
\(22\) | 4.24921 | − | 5.32835i | 0.905936 | − | 1.13601i | ||||
\(23\) | 4.28697 | − | 2.14986i | 0.893895 | − | 0.448276i | ||||
\(24\) | −0.109864 | − | 0.0529079i | −0.0224260 | − | 0.0107998i | ||||
\(25\) | 2.16343 | + | 0.0883169i | 0.432687 | + | 0.0176634i | ||||
\(26\) | 0.341293 | − | 3.33440i | 0.0669330 | − | 0.653930i | ||||
\(27\) | 0.0726028 | − | 0.229813i | 0.0139724 | − | 0.0442275i | ||||
\(28\) | −0.0719780 | − | 0.157610i | −0.0136026 | − | 0.0297855i | ||||
\(29\) | −2.89833 | − | 4.53869i | −0.538207 | − | 0.842813i | ||||
\(30\) | 0.0821716 | − | 0.0241278i | 0.0150024 | − | 0.00440511i | ||||
\(31\) | 3.74545 | + | 6.09804i | 0.672702 | + | 1.09524i | 0.989189 | + | 0.146644i | \(0.0468472\pi\) |
−0.316487 | + | 0.948597i | \(0.602503\pi\) | |||||||
\(32\) | 1.00012 | + | 1.97279i | 0.176799 | + | 0.348744i | ||||
\(33\) | 0.0817536 | + | 0.200253i | 0.0142315 | + | 0.0348596i | ||||
\(34\) | −0.334117 | − | 1.23020i | −0.0573007 | − | 0.210977i | ||||
\(35\) | 0.673971 | + | 0.291327i | 0.113922 | + | 0.0492432i | ||||
\(36\) | −0.975092 | + | 0.684415i | −0.162515 | + | 0.114069i | ||||
\(37\) | 9.84640 | + | 2.03700i | 1.61874 | + | 0.334880i | 0.923411 | − | 0.383813i | \(-0.125389\pi\) |
0.695327 | + | 0.718693i | \(0.255260\pi\) | |||||||
\(38\) | −2.65181 | + | 7.33751i | −0.430181 | + | 1.19030i | ||||
\(39\) | 0.0870713 | + | 0.0611151i | 0.0139426 | + | 0.00978625i | ||||
\(40\) | −4.76921 | − | 1.83445i | −0.754078 | − | 0.290052i | ||||
\(41\) | 3.48314 | + | 7.62701i | 0.543975 | + | 1.19114i | 0.959539 | + | 0.281575i | \(0.0908569\pi\) |
−0.415564 | + | 0.909564i | \(0.636416\pi\) | |||||||
\(42\) | −0.0221082 | − | 0.00180804i | −0.00341137 | − | 0.000278986i | ||||
\(43\) | −3.24763 | + | 5.28753i | −0.495259 | + | 0.806341i | −0.998322 | − | 0.0579084i | \(-0.981557\pi\) |
0.503063 | + | 0.864250i | \(0.332206\pi\) | |||||||
\(44\) | 0.560614 | − | 2.06414i | 0.0845158 | − | 0.311181i | ||||
\(45\) | 1.12335 | − | 4.92174i | 0.167460 | − | 0.733689i | ||||
\(46\) | −3.90182 | + | 4.65161i | −0.575292 | + | 0.685843i | ||||
\(47\) | −2.08672 | + | 9.14252i | −0.304380 | + | 1.33357i | 0.559062 | + | 0.829126i | \(0.311161\pi\) |
−0.863442 | + | 0.504449i | \(0.831696\pi\) | |||||||
\(48\) | 0.122343 | + | 0.00499436i | 0.0176587 | + | 0.000720874i | ||||
\(49\) | 4.86414 | + | 4.76591i | 0.694877 | + | 0.680844i | ||||
\(50\) | −2.55839 | + | 0.984071i | −0.361811 | + | 0.139169i | ||||
\(51\) | 0.0392517 | + | 0.00980545i | 0.00549633 | + | 0.00137304i | ||||
\(52\) | −0.316897 | − | 1.00309i | −0.0439457 | − | 0.139103i | ||||
\(53\) | −5.63622 | − | 0.928083i | −0.774194 | − | 0.127482i | −0.237646 | − | 0.971352i | \(-0.576376\pi\) |
−0.536548 | + | 0.843870i | \(0.680272\pi\) | |||||||
\(54\) | 0.0310672 | + | 0.303524i | 0.00422770 | + | 0.0413043i | ||||
\(55\) | 4.09843 | + | 8.08436i | 0.552633 | + | 1.09009i | ||||
\(56\) | 0.982357 | + | 0.886941i | 0.131273 | + | 0.118522i | ||||
\(57\) | −0.162154 | − | 0.187136i | −0.0214779 | − | 0.0247868i | ||||
\(58\) | 5.64782 | + | 3.81836i | 0.741595 | + | 0.501375i | ||||
\(59\) | 7.03792 | + | 2.06652i | 0.916259 | + | 0.269038i | 0.705673 | − | 0.708538i | \(-0.250645\pi\) |
0.210586 | + | 0.977575i | \(0.432463\pi\) | |||||||
\(60\) | 0.0206678 | − | 0.0171832i | 0.00266820 | − | 0.00221835i | ||||
\(61\) | 4.46971 | − | 1.51303i | 0.572288 | − | 0.193723i | −0.0195098 | − | 0.999810i | \(-0.506211\pi\) |
0.591798 | + | 0.806086i | \(0.298418\pi\) | |||||||
\(62\) | −7.41549 | − | 5.20491i | −0.941768 | − | 0.661025i | ||||
\(63\) | −0.729220 | + | 1.08535i | −0.0918731 | + | 0.136742i | ||||
\(64\) | −6.83990 | − | 5.68671i | −0.854987 | − | 0.710839i | ||||
\(65\) | 3.84528 | + | 2.25508i | 0.476949 | + | 0.279708i | ||||
\(66\) | −0.195590 | − | 0.191640i | −0.0240755 | − | 0.0235893i | ||||
\(67\) | −4.76397 | − | 2.53859i | −0.582012 | − | 0.310138i | 0.152964 | − | 0.988232i | \(-0.451118\pi\) |
−0.734976 | + | 0.678093i | \(0.762807\pi\) | |||||||
\(68\) | −0.249444 | − | 0.312793i | −0.0302496 | − | 0.0379318i | ||||
\(69\) | −0.0683913 | − | 0.180146i | −0.00823334 | − | 0.0216870i | ||||
\(70\) | −0.929526 | −0.111100 | ||||||||
\(71\) | −4.10484 | − | 5.60163i | −0.487155 | − | 0.664791i | 0.491362 | − | 0.870955i | \(-0.336499\pi\) |
−0.978517 | + | 0.206164i | \(0.933902\pi\) | |||||||
\(72\) | 4.76260 | − | 7.75409i | 0.561278 | − | 0.913828i | ||||
\(73\) | −2.34096 | − | 3.48423i | −0.273989 | − | 0.407799i | 0.667622 | − | 0.744500i | \(-0.267312\pi\) |
−0.941611 | + | 0.336701i | \(0.890689\pi\) | |||||||
\(74\) | −12.4652 | + | 2.57878i | −1.44906 | + | 0.299777i | ||||
\(75\) | 0.0123809 | − | 0.0861112i | 0.00142963 | − | 0.00994326i | ||||
\(76\) | 0.149761 | + | 2.44403i | 0.0171788 | + | 0.280350i | ||||
\(77\) | −0.239046 | − | 2.33546i | −0.0272418 | − | 0.266150i | ||||
\(78\) | −0.131880 | − | 0.0272830i | −0.0149325 | − | 0.00308919i | ||||
\(79\) | −0.610243 | + | 9.95887i | −0.0686577 | + | 1.12046i | 0.791747 | + | 0.610849i | \(0.209172\pi\) |
−0.860405 | + | 0.509611i | \(0.829789\pi\) | |||||||
\(80\) | 5.12674 | − | 0.209286i | 0.573186 | − | 0.0233989i | ||||
\(81\) | 8.24792 | + | 3.56520i | 0.916435 | + | 0.396133i | ||||
\(82\) | −7.87868 | − | 7.11342i | −0.870054 | − | 0.785545i | ||||
\(83\) | 1.37129 | − | 0.342562i | 0.150519 | − | 0.0376010i | −0.166372 | − | 0.986063i | \(-0.553205\pi\) |
0.316891 | + | 0.948462i | \(0.397361\pi\) | |||||||
\(84\) | −0.00659415 | + | 0.00223216i | −0.000719480 | + | 0.000243549i | ||||
\(85\) | 1.67284 | + | 0.275457i | 0.181445 | + | 0.0298775i | ||||
\(86\) | 1.11798 | − | 7.77570i | 0.120555 | − | 0.838475i | ||||
\(87\) | −0.193269 | + | 0.0972781i | −0.0207206 | + | 0.0104293i | ||||
\(88\) | 2.32517 | + | 16.1719i | 0.247864 | + | 1.72393i | ||||
\(89\) | 15.1362 | − | 1.86197i | 1.60443 | − | 0.197369i | 0.730324 | − | 0.683101i | \(-0.239369\pi\) |
0.874107 | + | 0.485733i | \(0.161447\pi\) | |||||||
\(90\) | 1.16681 | + | 6.28360i | 0.122992 | + | 0.662349i | ||||
\(91\) | −0.719890 | − | 0.902714i | −0.0754650 | − | 0.0946301i | ||||
\(92\) | −0.544805 | + | 1.82593i | −0.0567999 | + | 0.190366i | ||||
\(93\) | 0.259062 | − | 0.124758i | 0.0268635 | − | 0.0129368i | ||||
\(94\) | −2.16744 | − | 11.6723i | −0.223554 | − | 1.20390i | ||||
\(95\) | −7.41157 | − | 7.26190i | −0.760411 | − | 0.745055i | ||||
\(96\) | 0.0829442 | − | 0.0319040i | 0.00846546 | − | 0.00325619i | ||||
\(97\) | −0.602861 | + | 1.18917i | −0.0612113 | + | 0.120742i | −0.920491 | − | 0.390764i | \(-0.872211\pi\) |
0.859280 | + | 0.511506i | \(0.170912\pi\) | |||||||
\(98\) | −8.04633 | − | 3.09498i | −0.812802 | − | 0.312640i | ||||
\(99\) | −15.4876 | + | 4.54758i | −1.55657 | + | 0.457049i | ||||
\(100\) | −0.614488 | + | 0.602079i | −0.0614488 | + | 0.0602079i | ||||
\(101\) | −0.00534260 | − | 0.261857i | −0.000531609 | − | 0.0260557i | 0.999441 | − | 0.0334247i | \(-0.0106414\pi\) |
−0.999973 | + | 0.00736895i | \(0.997654\pi\) | |||||||
\(102\) | −0.0505379 | + | 0.00832178i | −0.00500400 | + | 0.000823979i | ||||
\(103\) | 8.73093 | − | 4.65248i | 0.860284 | − | 0.458422i | 0.0195110 | − | 0.999810i | \(-0.493789\pi\) |
0.840773 | + | 0.541387i | \(0.182101\pi\) | |||||||
\(104\) | 5.26206 | + | 6.07274i | 0.515988 | + | 0.595482i | ||||
\(105\) | 0.0144016 | − | 0.0257468i | 0.00140546 | − | 0.00251263i | ||||
\(106\) | 7.01578 | − | 1.75261i | 0.681433 | − | 0.170228i | ||||
\(107\) | 3.62305 | − | 10.0249i | 0.350254 | − | 0.969144i | −0.630891 | − | 0.775871i | \(-0.717311\pi\) |
0.981145 | − | 0.193273i | \(-0.0619101\pi\) | |||||||
\(108\) | 0.0467463 | + | 0.0835715i | 0.00449817 | + | 0.00804167i | ||||
\(109\) | 9.31900 | + | 9.90752i | 0.892599 | + | 0.948968i | 0.998971 | − | 0.0453584i | \(-0.0144430\pi\) |
−0.106372 | + | 0.994326i | \(0.533924\pi\) | |||||||
\(110\) | −8.82341 | − | 7.33581i | −0.841279 | − | 0.699442i | ||||
\(111\) | 0.121702 | − | 0.385227i | 0.0115514 | − | 0.0365642i | ||||
\(112\) | −1.25883 | − | 0.426121i | −0.118948 | − | 0.0402647i | ||||
\(113\) | 0.628021 | + | 3.38208i | 0.0590793 | + | 0.318160i | 0.999778 | − | 0.0210844i | \(-0.00671188\pi\) |
−0.940698 | + | 0.339244i | \(0.889829\pi\) | |||||||
\(114\) | 0.282431 | + | 0.136012i | 0.0264521 | + | 0.0127387i | ||||
\(115\) | −3.47168 | − | 7.29020i | −0.323735 | − | 0.679815i | ||||
\(116\) | 2.10253 | + | 0.396710i | 0.195215 | + | 0.0368336i | ||||
\(117\) | −5.19869 | + | 5.99961i | −0.480619 | + | 0.554664i | ||||
\(118\) | −9.21647 | + | 1.13376i | −0.848445 | + | 0.104371i | ||||
\(119\) | −0.378789 | − | 0.222142i | −0.0347235 | − | 0.0203637i | ||||
\(120\) | −0.0928344 | + | 0.183120i | −0.00847459 | + | 0.0167165i | ||||
\(121\) | 10.0277 | − | 14.9250i | 0.911611 | − | 1.35682i | ||||
\(122\) | −4.43406 | + | 4.00337i | −0.401441 | + | 0.362448i | ||||
\(123\) | 0.319102 | − | 0.108018i | 0.0287725 | − | 0.00973966i | ||||
\(124\) | −2.78442 | − | 0.576034i | −0.250048 | − | 0.0517293i | ||||
\(125\) | 0.737850 | − | 12.0413i | 0.0659953 | − | 1.07701i | ||||
\(126\) | 0.302217 | − | 1.62753i | 0.0269237 | − | 0.144992i | ||||
\(127\) | −4.88845 | + | 2.60492i | −0.433780 | + | 0.231150i | −0.672739 | − | 0.739880i | \(-0.734882\pi\) |
0.238959 | + | 0.971030i | \(0.423194\pi\) | |||||||
\(128\) | 6.56034 | + | 1.92629i | 0.579857 | + | 0.170262i | ||||
\(129\) | 0.198056 | + | 0.151440i | 0.0174379 | + | 0.0133335i | ||||
\(130\) | −5.60117 | − | 0.689026i | −0.491255 | − | 0.0604315i | ||||
\(131\) | −4.72808 | + | 4.26884i | −0.413094 | + | 0.372970i | −0.850218 | − | 0.526431i | \(-0.823530\pi\) |
0.437123 | + | 0.899402i | \(0.355997\pi\) | |||||||
\(132\) | −0.0802103 | − | 0.0308525i | −0.00698141 | − | 0.00268536i | ||||
\(133\) | 1.11646 | + | 2.44471i | 0.0968094 | + | 0.211983i | ||||
\(134\) | 6.81115 | + | 0.557025i | 0.588393 | + | 0.0481196i | ||||
\(135\) | −0.384356 | − | 0.130107i | −0.0330801 | − | 0.0111978i | ||||
\(136\) | 2.69700 | + | 1.43716i | 0.231265 | + | 0.123235i | ||||
\(137\) | −2.01524 | − | 8.82934i | −0.172174 | − | 0.754341i | −0.985101 | − | 0.171977i | \(-0.944985\pi\) |
0.812928 | − | 0.582365i | \(-0.197872\pi\) | |||||||
\(138\) | 0.169962 | + | 0.174986i | 0.0144682 | + | 0.0148958i | ||||
\(139\) | −11.4216 | + | 5.50035i | −0.968768 | + | 0.466534i | −0.850228 | − | 0.526415i | \(-0.823536\pi\) |
−0.118540 | + | 0.992949i | \(0.537821\pi\) | |||||||
\(140\) | −0.267781 | + | 0.115749i | −0.0226316 | + | 0.00978261i | ||||
\(141\) | 0.356890 | + | 0.120810i | 0.0300556 | + | 0.0101740i | ||||
\(142\) | 7.58377 | + | 4.44753i | 0.636416 | + | 0.373228i | ||||
\(143\) | 0.290745 | − | 14.2503i | 0.0243133 | − | 1.19167i | ||||
\(144\) | −1.30041 | + | 9.04458i | −0.108368 | + | 0.753715i | ||||
\(145\) | −7.73963 | + | 4.72296i | −0.642741 | + | 0.392220i | ||||
\(146\) | 4.47047 | + | 2.87300i | 0.369979 | + | 0.237771i | ||||
\(147\) | 0.210393 | − | 0.174922i | 0.0173529 | − | 0.0144273i | ||||
\(148\) | −3.26991 | + | 2.29514i | −0.268785 | + | 0.188659i | ||||
\(149\) | 2.20058 | − | 11.8508i | 0.180278 | − | 0.970853i | −0.764863 | − | 0.644192i | \(-0.777194\pi\) |
0.945142 | − | 0.326660i | \(-0.105923\pi\) | |||||||
\(150\) | 0.0288666 | + | 0.106285i | 0.00235695 | + | 0.00867813i | ||||
\(151\) | −13.2575 | + | 2.18304i | −1.07888 | + | 0.177653i | −0.675486 | − | 0.737373i | \(-0.736066\pi\) |
−0.403396 | + | 0.915026i | \(0.632170\pi\) | |||||||
\(152\) | −8.45736 | − | 16.6826i | −0.685983 | − | 1.35313i | ||||
\(153\) | −1.02620 | + | 2.83946i | −0.0829631 | + | 0.229557i | ||||
\(154\) | 1.45089 | + | 2.59386i | 0.116916 | + | 0.209019i | ||||
\(155\) | 10.3936 | − | 6.09537i | 0.834836 | − | 0.489592i | ||||
\(156\) | −0.0413899 | + | 0.00856262i | −0.00331384 | + | 0.000685558i | ||||
\(157\) | −1.94496 | − | 13.5275i | −0.155225 | − | 1.07961i | −0.907284 | − | 0.420518i | \(-0.861848\pi\) |
0.752059 | − | 0.659096i | \(-0.229061\pi\) | |||||||
\(158\) | −4.29324 | − | 11.8793i | −0.341552 | − | 0.945065i | ||||
\(159\) | −0.0601540 | + | 0.221483i | −0.00477052 | + | 0.0175647i | ||||
\(160\) | 3.35520 | − | 1.61578i | 0.265252 | − | 0.127739i | ||||
\(161\) | 0.161375 | + | 2.08519i | 0.0127181 | + | 0.164336i | ||||
\(162\) | −11.3753 | −0.893732 | ||||||||
\(163\) | 1.70762 | + | 2.33028i | 0.133751 | + | 0.182522i | 0.868308 | − | 0.496025i | \(-0.165208\pi\) |
−0.734557 | + | 0.678547i | \(0.762610\pi\) | |||||||
\(164\) | −3.15552 | − | 1.06816i | −0.246404 | − | 0.0834095i | ||||
\(165\) | 0.339899 | − | 0.130740i | 0.0264611 | − | 0.0101781i | ||||
\(166\) | −1.42145 | + | 1.08688i | −0.110326 | + | 0.0843582i | ||||
\(167\) | −12.3676 | − | 13.1487i | −0.957036 | − | 1.01748i | −0.999831 | − | 0.0183913i | \(-0.994146\pi\) |
0.0427944 | − | 0.999084i | \(-0.486374\pi\) | |||||||
\(168\) | 0.0394700 | − | 0.0356363i | 0.00304518 | − | 0.00274940i | ||||
\(169\) | 3.13500 | + | 5.10416i | 0.241154 | + | 0.392627i | ||||
\(170\) | −2.08230 | + | 0.520178i | −0.159705 | + | 0.0398958i | ||||
\(171\) | 15.1248 | − | 10.6160i | 1.15662 | − | 0.811829i | ||||
\(172\) | −0.646201 | − | 2.37927i | −0.0492723 | − | 0.181417i | ||||
\(173\) | 1.99340 | + | 2.30050i | 0.151555 | + | 0.174904i | 0.826450 | − | 0.563010i | \(-0.190357\pi\) |
−0.674895 | + | 0.737914i | \(0.735811\pi\) | |||||||
\(174\) | 0.175726 | − | 0.210122i | 0.0133218 | − | 0.0159293i | ||||
\(175\) | −0.392253 | + | 0.858914i | −0.0296515 | + | 0.0649278i | ||||
\(176\) | −8.58631 | − | 13.9796i | −0.647218 | − | 1.05375i | ||||
\(177\) | 0.111392 | − | 0.272851i | 0.00837273 | − | 0.0205088i | ||||
\(178\) | −16.6538 | + | 9.76667i | −1.24826 | + | 0.732043i | ||||
\(179\) | 0.191252 | − | 9.37382i | 0.0142948 | − | 0.700632i | −0.929262 | − | 0.369421i | \(-0.879556\pi\) |
0.943557 | − | 0.331211i | \(-0.107457\pi\) | |||||||
\(180\) | 1.11860 | + | 1.66490i | 0.0833758 | + | 0.124095i | ||||
\(181\) | 1.78521 | − | 17.4413i | 0.132693 | − | 1.29640i | −0.688284 | − | 0.725441i | \(-0.741636\pi\) |
0.820977 | − | 0.570961i | \(-0.193429\pi\) | |||||||
\(182\) | 1.28999 | + | 0.687400i | 0.0956203 | + | 0.0509535i | ||||
\(183\) | −0.0421896 | − | 0.184845i | −0.00311874 | − | 0.0136641i | ||||
\(184\) | −1.71404 | − | 14.4538i | −0.126361 | − | 1.06555i | ||||
\(185\) | 3.76710 | − | 16.5047i | 0.276963 | − | 1.21345i | ||||
\(186\) | −0.238378 | + | 0.275103i | −0.0174787 | + | 0.0201715i | ||||
\(187\) | −1.84246 | − | 5.09805i | −0.134734 | − | 0.372806i | ||||
\(188\) | −2.07790 | − | 3.09269i | −0.151546 | − | 0.225558i | ||||
\(189\) | 0.0808183 | + | 0.0671926i | 0.00587867 | + | 0.00488754i | ||||
\(190\) | 12.2603 | + | 4.71587i | 0.889458 | + | 0.342125i | ||||
\(191\) | −16.8640 | + | 4.95172i | −1.22024 | + | 0.358294i | −0.827557 | − | 0.561382i | \(-0.810270\pi\) |
−0.392679 | + | 0.919675i | \(0.628452\pi\) | |||||||
\(192\) | −0.255281 | + | 0.250126i | −0.0184233 | + | 0.0180513i | ||||
\(193\) | −25.5817 | + | 6.39056i | −1.84141 | + | 0.460002i | −0.997117 | − | 0.0758759i | \(-0.975825\pi\) |
−0.844295 | + | 0.535878i | \(0.819981\pi\) | |||||||
\(194\) | 0.103233 | − | 1.68470i | 0.00741166 | − | 0.120955i | ||||
\(195\) | 0.105867 | − | 0.144470i | 0.00758130 | − | 0.0103457i | ||||
\(196\) | −2.70342 | + | 0.110360i | −0.193101 | + | 0.00788288i | ||||
\(197\) | 23.8515 | − | 3.92748i | 1.69935 | − | 0.279822i | 0.767070 | − | 0.641564i | \(-0.221714\pi\) |
0.932278 | + | 0.361742i | \(0.117818\pi\) | |||||||
\(198\) | 15.7132 | − | 13.0640i | 1.11669 | − | 0.928420i | ||||
\(199\) | 2.62163 | + | 25.6131i | 0.185843 | + | 1.81567i | 0.499701 | + | 0.866198i | \(0.333443\pi\) |
−0.313859 | + | 0.949470i | \(0.601622\pi\) | |||||||
\(200\) | 2.48375 | − | 6.08388i | 0.175628 | − | 0.430195i | ||||
\(201\) | −0.120958 | + | 0.180030i | −0.00853170 | + | 0.0126984i | ||||
\(202\) | 0.137740 | + | 0.301608i | 0.00969135 | + | 0.0212211i | ||||
\(203\) | 2.31019 | − | 0.422077i | 0.162144 | − | 0.0296240i | ||||
\(204\) | −0.0135229 | + | 0.00869062i | −0.000946790 | + | 0.000608465i | ||||
\(205\) | 12.9584 | − | 5.60131i | 0.905052 | − | 0.391213i | ||||
\(206\) | −7.80887 | + | 9.79202i | −0.544070 | + | 0.682242i | ||||
\(207\) | 13.8934 | − | 3.70838i | 0.965655 | − | 0.257750i | ||||
\(208\) | −7.26962 | − | 3.50086i | −0.504057 | − | 0.242741i | ||||
\(209\) | −8.69576 | + | 32.0172i | −0.601498 | + | 2.21467i | ||||
\(210\) | −0.00380281 | + | 0.0371532i | −0.000262419 | + | 0.00256381i | ||||
\(211\) | 12.2090 | − | 4.69612i | 0.840502 | − | 0.323294i | 0.0996998 | − | 0.995018i | \(-0.468212\pi\) |
0.740802 | + | 0.671723i | \(0.234446\pi\) | |||||||
\(212\) | 1.80288 | − | 1.37854i | 0.123823 | − | 0.0946785i | ||||
\(213\) | −0.240691 | + | 0.141154i | −0.0164919 | + | 0.00967170i | ||||
\(214\) | 0.825354 | + | 13.4694i | 0.0564200 | + | 0.920747i | ||||
\(215\) | 8.78910 | + | 5.64841i | 0.599412 | + | 0.385219i | ||||
\(216\) | −0.581050 | − | 0.444288i | −0.0395355 | − | 0.0302300i | ||||
\(217\) | −3.07940 | + | 0.507067i | −0.209043 | + | 0.0344219i | ||||
\(218\) | −15.8058 | − | 6.83212i | −1.07050 | − | 0.462729i | ||||
\(219\) | −0.148842 | + | 0.0793139i | −0.0100578 | + | 0.00535954i | ||||
\(220\) | −3.45537 | − | 1.01459i | −0.232961 | − | 0.0684035i | ||||
\(221\) | −2.11785 | − | 1.61937i | −0.142462 | − | 0.108931i | ||||
\(222\) | 0.0520768 | + | 0.508787i | 0.00349517 | + | 0.0341475i | ||||
\(223\) | −1.04128 | − | 1.86156i | −0.0697292 | − | 0.124660i | 0.835652 | − | 0.549259i | \(-0.185090\pi\) |
−0.905381 | + | 0.424600i | \(0.860415\pi\) | |||||||
\(224\) | −0.961351 | + | 0.0786206i | −0.0642330 | + | 0.00525306i | ||||
\(225\) | 6.29865 | + | 1.57346i | 0.419910 | + | 0.104898i | ||||
\(226\) | −2.42863 | − | 3.61471i | −0.161550 | − | 0.240447i | ||||
\(227\) | 12.6920 | − | 1.56130i | 0.842399 | − | 0.103627i | 0.310645 | − | 0.950526i | \(-0.399455\pi\) |
0.531754 | + | 0.846899i | \(0.321533\pi\) | |||||||
\(228\) | 0.0983007 | + | 0.00401289i | 0.00651012 | + | 0.000265760i | ||||
\(229\) | −17.7150 | + | 22.2139i | −1.17064 | + | 1.46794i | −0.315969 | + | 0.948769i | \(0.602330\pi\) |
−0.854672 | + | 0.519168i | \(0.826242\pi\) | |||||||
\(230\) | 7.69617 | + | 6.72779i | 0.507471 | + | 0.443617i | ||||
\(231\) | −0.0943263 | −0.00620621 | ||||||||
\(232\) | −15.9443 | + | 3.59073i | −1.04679 | + | 0.235743i | ||||
\(233\) | 0.245557 | − | 0.157810i | 0.0160870 | − | 0.0103385i | −0.532573 | − | 0.846384i | \(-0.678775\pi\) |
0.548660 | + | 0.836046i | \(0.315138\pi\) | |||||||
\(234\) | 3.02754 | − | 9.58320i | 0.197917 | − | 0.626474i | ||||
\(235\) | 15.3182 | + | 3.82663i | 0.999248 | + | 0.249622i | ||||
\(236\) | −2.51393 | + | 1.47430i | −0.163643 | + | 0.0959688i | ||||
\(237\) | 0.395560 | + | 0.0651345i | 0.0256944 | + | 0.00423094i | ||||
\(238\) | 0.551756 | + | 0.0678741i | 0.0357650 | + | 0.00439962i | ||||
\(239\) | −3.47465 | − | 6.85391i | −0.224756 | − | 0.443342i | 0.751568 | − | 0.659656i | \(-0.229298\pi\) |
−0.976324 | + | 0.216314i | \(0.930597\pi\) | |||||||
\(240\) | 0.0126090 | − | 0.205772i | 0.000813905 | − | 0.0132825i | ||||
\(241\) | −7.45190 | + | 10.1691i | −0.480019 | + | 0.655052i | −0.977132 | − | 0.212634i | \(-0.931796\pi\) |
0.497113 | + | 0.867686i | \(0.334393\pi\) | |||||||
\(242\) | −4.15588 | + | 22.3807i | −0.267150 | + | 1.43868i | ||||
\(243\) | 0.529208 | − | 0.946100i | 0.0339487 | − | 0.0606924i | ||||
\(244\) | −0.778856 | + | 1.70546i | −0.0498612 | + | 0.109181i | ||||
\(245\) | 8.18963 | − | 8.02424i | 0.523216 | − | 0.512650i | ||||
\(246\) | −0.316556 | + | 0.285809i | −0.0201829 | + | 0.0182225i | ||||
\(247\) | 4.91543 | + | 15.5590i | 0.312761 | + | 0.989995i | ||||
\(248\) | 21.2689 | − | 4.40006i | 1.35058 | − | 0.279404i | ||||
\(249\) | −0.00808207 | − | 0.0562120i | −0.000512180 | − | 0.00356229i | ||||
\(250\) | 5.19099 | + | 14.3633i | 0.328307 | + | 0.908417i | ||||
\(251\) | −15.4440 | − | 0.630462i | −0.974814 | − | 0.0397944i | −0.451801 | − | 0.892119i | \(-0.649218\pi\) |
−0.523013 | + | 0.852325i | \(0.675192\pi\) | |||||||
\(252\) | −0.115605 | − | 0.506498i | −0.00728242 | − | 0.0319064i | ||||
\(253\) | −14.9245 | + | 21.0670i | −0.938296 | + | 1.32447i | ||||
\(254\) | 4.37219 | − | 5.48255i | 0.274336 | − | 0.344006i | ||||
\(255\) | 0.0178538 | − | 0.0657366i | 0.00111805 | − | 0.00411659i | ||||
\(256\) | 9.06605 | − | 1.11526i | 0.566628 | − | 0.0697036i | ||||
\(257\) | −7.23362 | + | 7.69043i | −0.451221 | + | 0.479716i | −0.913396 | − | 0.407073i | \(-0.866550\pi\) |
0.462175 | + | 0.886789i | \(0.347069\pi\) | |||||||
\(258\) | −0.306221 | − | 0.0764970i | −0.0190645 | − | 0.00476250i | ||||
\(259\) | −2.44539 | + | 3.63966i | −0.151949 | + | 0.226158i | ||||
\(260\) | −1.69940 | + | 0.498990i | −0.105393 | + | 0.0309461i | ||||
\(261\) | −5.75316 | − | 15.0871i | −0.356112 | − | 0.933868i | ||||
\(262\) | 3.35004 | − | 7.33556i | 0.206966 | − | 0.453193i | ||||
\(263\) | −6.47421 | − | 5.84537i | −0.399217 | − | 0.360441i | 0.445844 | − | 0.895111i | \(-0.352904\pi\) |
−0.845061 | + | 0.534670i | \(0.820436\pi\) | |||||||
\(264\) | 0.655905 | − | 0.0267757i | 0.0403682 | − | 0.00164793i | ||||
\(265\) | −1.75584 | + | 9.45572i | −0.107860 | + | 0.580860i | ||||
\(266\) | −2.52537 | − | 2.28008i | −0.154841 | − | 0.139801i | ||||
\(267\) | −0.0124990 | − | 0.612611i | −0.000764925 | − | 0.0374912i | ||||
\(268\) | 2.03154 | − | 0.687690i | 0.124096 | − | 0.0420074i | ||||
\(269\) | −4.36153 | − | 7.79741i | −0.265927 | − | 0.475416i | 0.706786 | − | 0.707428i | \(-0.250145\pi\) |
−0.972713 | + | 0.232012i | \(0.925469\pi\) | |||||||
\(270\) | 0.511996 | − | 0.0418718i | 0.0311591 | − | 0.00254823i | ||||
\(271\) | 6.30673 | − | 12.4403i | 0.383106 | − | 0.755696i | −0.616389 | − | 0.787441i | \(-0.711405\pi\) |
0.999496 | + | 0.0317455i | \(0.0101066\pi\) | |||||||
\(272\) | −3.05845 | − | 0.250125i | −0.185446 | − | 0.0151660i | ||||
\(273\) | −0.0390267 | + | 0.0250809i | −0.00236200 | + | 0.00151797i | ||||
\(274\) | 6.77683 | + | 9.24792i | 0.409403 | + | 0.558687i | ||||
\(275\) | −10.5020 | + | 5.05748i | −0.633292 | + | 0.304977i | ||||
\(276\) | 0.0707535 | + | 0.0292460i | 0.00425886 | + | 0.00176040i | ||||
\(277\) | 3.43617 | − | 15.0548i | 0.206459 | − | 0.904557i | −0.760442 | − | 0.649406i | \(-0.775018\pi\) |
0.966901 | − | 0.255151i | \(-0.0821252\pi\) | |||||||
\(278\) | 10.5097 | − | 12.1288i | 0.630329 | − | 0.727439i | ||||
\(279\) | 7.29326 | + | 20.1803i | 0.436636 | + | 1.20816i | ||||
\(280\) | 1.52675 | − | 1.62317i | 0.0912407 | − | 0.0970027i | ||||
\(281\) | −16.4811 | + | 12.6019i | −0.983180 | + | 0.751768i | −0.968727 | − | 0.248127i | \(-0.920185\pi\) |
−0.0144523 | + | 0.999896i | \(0.504600\pi\) | |||||||
\(282\) | −0.475409 | + | 0.0388796i | −0.0283102 | + | 0.00231525i | ||||
\(283\) | 4.66116 | − | 11.4174i | 0.277077 | − | 0.678693i | −0.722847 | − | 0.691008i | \(-0.757167\pi\) |
0.999924 | + | 0.0123150i | \(0.00392009\pi\) | |||||||
\(284\) | 2.73859 | + | 0.336887i | 0.162505 | + | 0.0199905i | ||||
\(285\) | −0.320580 | + | 0.266531i | −0.0189895 | + | 0.0157880i | ||||
\(286\) | 6.82010 | + | 16.7056i | 0.403281 | + | 0.987825i | ||||
\(287\) | −3.65348 | + | 0.149144i | −0.215658 | + | 0.00880371i | ||||
\(288\) | 1.73823 | + | 6.40005i | 0.102426 | + | 0.377126i | ||||
\(289\) | 15.3385 | + | 4.50379i | 0.902266 | + | 0.264929i | ||||
\(290\) | 6.62152 | − | 9.37598i | 0.388829 | − | 0.550577i | ||||
\(291\) | 0.0450649 | + | 0.0289614i | 0.00264175 | + | 0.00169775i | ||||
\(292\) | 1.64563 | + | 0.270976i | 0.0963032 | + | 0.0158577i | ||||
\(293\) | −17.0145 | − | 18.0890i | −0.993995 | − | 1.05677i | −0.998387 | − | 0.0567776i | \(-0.981917\pi\) |
0.00439172 | − | 0.999990i | \(-0.498602\pi\) | |||||||
\(294\) | −0.156625 | + | 0.308950i | −0.00913455 | + | 0.0180183i | ||||
\(295\) | 3.72034 | − | 11.7761i | 0.216606 | − | 0.685633i | ||||
\(296\) | 15.9711 | − | 26.0028i | 0.928300 | − | 1.51138i | ||||
\(297\) | 0.236874 | + | 1.27564i | 0.0137448 | + | 0.0740199i | ||||
\(298\) | 3.39549 | + | 14.8766i | 0.196695 | + | 0.861779i | ||||
\(299\) | −0.573266 | + | 12.6847i | −0.0331528 | + | 0.733572i | ||||
\(300\) | 0.0215512 | + | 0.0270243i | 0.00124426 | + | 0.00156025i | ||||
\(301\) | −1.59950 | − | 2.18274i | −0.0921939 | − | 0.125811i | ||||
\(302\) | 14.3094 | − | 9.19611i | 0.823415 | − | 0.529177i | ||||
\(303\) | −0.0104883 | 0.000857746i | −0.000602536 | 4.92762e-5i | ||||||
\(304\) | 14.4419 | + | 12.0070i | 0.828300 | + | 0.688651i | ||||
\(305\) | −2.39341 | − | 7.57595i | −0.137046 | − | 0.433798i | ||||
\(306\) | −0.233774 | − | 3.81507i | −0.0133640 | − | 0.218093i | ||||
\(307\) | 10.3127 | + | 6.62757i | 0.588577 | + | 0.378255i | 0.800770 | − | 0.598973i | \(-0.204424\pi\) |
−0.212193 | + | 0.977228i | \(0.568060\pi\) | |||||||
\(308\) | 0.740979 | + | 0.566574i | 0.0422212 | + | 0.0322836i | ||||
\(309\) | −0.150240 | − | 0.368010i | −0.00854687 | − | 0.0209353i | ||||
\(310\) | −9.01625 | + | 12.3039i | −0.512088 | + | 0.698816i | ||||
\(311\) | 1.83773 | − | 2.50783i | 0.104208 | − | 0.142206i | −0.751368 | − | 0.659883i | \(-0.770606\pi\) |
0.855576 | + | 0.517677i | \(0.173203\pi\) | |||||||
\(312\) | 0.264256 | − | 0.185480i | 0.0149605 | − | 0.0105008i | ||||
\(313\) | −0.621767 | − | 30.4746i | −0.0351444 | − | 1.72253i | −0.525320 | − | 0.850905i | \(-0.676054\pi\) |
0.490176 | − | 0.871624i | \(-0.336933\pi\) | |||||||
\(314\) | 9.05508 | + | 14.7428i | 0.511008 | + | 0.831983i | ||||
\(315\) | 1.80196 | + | 1.26479i | 0.101529 | + | 0.0712629i | ||||
\(316\) | −2.71608 | − | 2.88761i | −0.152792 | − | 0.162441i | ||||
\(317\) | −0.442964 | + | 21.7110i | −0.0248793 | + | 1.21941i | 0.779927 | + | 0.625871i | \(0.215256\pi\) |
−0.804806 | + | 0.593538i | \(0.797731\pi\) | |||||||
\(318\) | −0.0413494 | − | 0.287591i | −0.00231876 | − | 0.0161273i | ||||
\(319\) | 25.2602 | + | 14.2255i | 1.41430 | + | 0.796476i | ||||
\(320\) | −9.80751 | + | 11.3185i | −0.548256 | + | 0.632721i | ||||
\(321\) | −0.385873 | − | 0.185827i | −0.0215373 | − | 0.0103718i | ||||
\(322\) | −1.23493 | − | 2.34205i | −0.0688198 | − | 0.130517i | ||||
\(323\) | 3.86916 | + | 4.85178i | 0.215286 | + | 0.269960i | ||||
\(324\) | −3.27705 | + | 1.41652i | −0.182058 | + | 0.0786955i | ||||
\(325\) | −3.00034 | + | 4.88491i | −0.166429 | + | 0.270966i | ||||
\(326\) | −3.15486 | − | 1.85017i | −0.174731 | − | 0.102472i | ||||
\(327\) | 0.434129 | − | 0.331948i | 0.0240074 | − | 0.0183568i | ||||
\(328\) | 25.3624 | − | 2.07417i | 1.40040 | − | 0.114527i | ||||
\(329\) | −3.34728 | − | 2.34945i | −0.184542 | − | 0.129529i | ||||
\(330\) | −0.329310 | + | 0.322660i | −0.0181279 | + | 0.0177619i | ||||
\(331\) | −9.28341 | + | 20.3278i | −0.510262 | + | 1.11732i | 0.462734 | + | 0.886497i | \(0.346868\pi\) |
−0.972996 | + | 0.230821i | \(0.925859\pi\) | |||||||
\(332\) | −0.274151 | + | 0.490118i | −0.0150460 | + | 0.0268987i | ||||
\(333\) | 27.6738 | + | 11.9621i | 1.51651 | + | 0.655519i | ||||
\(334\) | 20.9765 | + | 9.06719i | 1.14778 | + | 0.496134i | ||||
\(335\) | −4.43690 | + | 7.93213i | −0.242413 | + | 0.433379i | ||||
\(336\) | −0.0221821 | + | 0.0485721i | −0.00121013 | + | 0.00264982i | ||||
\(337\) | 16.7860 | − | 16.4470i | 0.914394 | − | 0.895928i | −0.0805103 | − | 0.996754i | \(-0.525655\pi\) |
0.994904 | + | 0.100826i | \(0.0321485\pi\) | |||||||
\(338\) | −6.20687 | − | 4.35659i | −0.337609 | − | 0.236967i | ||||
\(339\) | 0.137751 | − | 0.0112655i | 0.00748162 | − | 0.000611858i | ||||
\(340\) | −0.535100 | + | 0.409153i | −0.0290199 | + | 0.0221895i | ||||
\(341\) | −33.2326 | − | 19.4894i | −1.79965 | − | 1.05541i | ||||
\(342\) | −12.2433 | + | 19.9337i | −0.662044 | + | 1.07789i | ||||
\(343\) | −5.52803 | + | 2.38952i | −0.298486 | + | 0.129022i | ||||
\(344\) | 11.7419 | + | 14.7239i | 0.633080 | + | 0.793857i | ||||
\(345\) | −0.305593 | + | 0.108938i | −0.0164526 | + | 0.00586501i | ||||
\(346\) | −3.47199 | − | 1.67202i | −0.186655 | − | 0.0898885i | ||||
\(347\) | −10.2700 | + | 11.8523i | −0.551325 | + | 0.636262i | −0.961191 | − | 0.275883i | \(-0.911030\pi\) |
0.409867 | + | 0.912145i | \(0.365575\pi\) | |||||||
\(348\) | 0.0244582 | − | 0.0824151i | 0.00131110 | − | 0.00441791i | ||||
\(349\) | −1.46266 | − | 10.1730i | −0.0782942 | − | 0.544548i | −0.990784 | − | 0.135449i | \(-0.956752\pi\) |
0.912490 | − | 0.409099i | \(-0.134157\pi\) | |||||||
\(350\) | 0.0243841 | − | 1.19514i | 0.00130339 | − | 0.0638827i | ||||
\(351\) | 0.437190 | + | 0.464799i | 0.0233355 | + | 0.0248092i | ||||
\(352\) | −9.74598 | − | 6.84068i | −0.519462 | − | 0.364609i | ||||
\(353\) | 15.9192 | + | 25.9184i | 0.847292 | + | 1.37949i | 0.923981 | + | 0.382439i | \(0.124916\pi\) |
−0.0766885 | + | 0.997055i | \(0.524435\pi\) | |||||||
\(354\) | 0.00761067 | + | 0.373021i | 0.000404502 | + | 0.0198258i | ||||
\(355\) | −9.57035 | + | 6.71741i | −0.507941 | + | 0.356523i | ||||
\(356\) | −3.58149 | + | 4.88743i | −0.189818 | + | 0.259033i | ||||
\(357\) | −0.0104287 | + | 0.0142314i | −0.000551945 | + | 0.000753205i | ||||
\(358\) | 4.48626 | + | 10.9890i | 0.237106 | + | 0.580785i | ||||
\(359\) | −0.945403 | − | 0.722883i | −0.0498965 | − | 0.0381523i | 0.582164 | − | 0.813071i | \(-0.302206\pi\) |
−0.632060 | + | 0.774919i | \(0.717791\pi\) | |||||||
\(360\) | −12.8891 | − | 8.28332i | −0.679315 | − | 0.436569i | ||||
\(361\) | −1.16090 | − | 18.9452i | −0.0610998 | − | 0.997118i | ||||
\(362\) | 6.68633 | + | 21.1645i | 0.351425 | + | 1.11238i | ||||
\(363\) | −0.555529 | − | 0.461869i | −0.0291577 | − | 0.0242418i | ||||
\(364\) | 0.457223 | + | 0.0373923i | 0.0239650 | + | 0.00195989i | ||||
\(365\) | −5.94550 | + | 3.82094i | −0.311202 | + | 0.199997i | ||||
\(366\) | 0.141875 | + | 0.193608i | 0.00741591 | + | 0.0101200i | ||||
\(367\) | −11.8293 | − | 14.8334i | −0.617483 | − | 0.774300i | 0.370505 | − | 0.928831i | \(-0.379185\pi\) |
−0.987988 | + | 0.154531i | \(0.950613\pi\) | |||||||
\(368\) | 7.33848 | + | 12.6394i | 0.382544 | + | 0.658873i | ||||
\(369\) | 5.59432 | + | 24.5103i | 0.291228 | + | 1.27596i | ||||
\(370\) | 3.91281 | + | 21.0716i | 0.203417 | + | 1.09546i | ||||
\(371\) | 1.30372 | − | 2.12261i | 0.0676856 | − | 0.110200i | ||||
\(372\) | −0.0344155 | + | 0.108937i | −0.00178436 | + | 0.00564811i | ||||
\(373\) | −7.25979 | + | 14.3203i | −0.375898 | + | 0.741476i | −0.999179 | − | 0.0405218i | \(-0.987098\pi\) |
0.623281 | + | 0.781998i | \(0.285799\pi\) | |||||||
\(374\) | 4.70181 | + | 4.99874i | 0.243125 | + | 0.258479i | ||||
\(375\) | −0.478275 | − | 0.0787547i | −0.0246980 | − | 0.00406687i | ||||
\(376\) | 23.9425 | + | 15.3869i | 1.23474 | + | 0.793520i | ||||
\(377\) | 14.2337 | − | 0.830901i | 0.733073 | − | 0.0427936i | ||||
\(378\) | −0.127666 | − | 0.0374862i | −0.00656645 | − | 0.00192808i | ||||
\(379\) | 8.66812 | + | 31.9154i | 0.445251 | + | 1.63938i | 0.731946 | + | 0.681363i | \(0.238612\pi\) |
−0.286694 | + | 0.958022i | \(0.592556\pi\) | |||||||
\(380\) | 4.11924 | − | 0.168158i | 0.211313 | − | 0.00862633i | ||||
\(381\) | 0.0841196 | + | 0.206049i | 0.00430958 | + | 0.0105562i | ||||
\(382\) | 17.1096 | − | 14.2250i | 0.875405 | − | 0.727815i | ||||
\(383\) | −12.8212 | − | 1.57720i | −0.655133 | − | 0.0805910i | −0.212313 | − | 0.977202i | \(-0.568100\pi\) |
−0.442820 | + | 0.896611i | \(0.646022\pi\) | |||||||
\(384\) | 0.103833 | − | 0.254336i | 0.00529871 | − | 0.0129790i | ||||
\(385\) | −3.93954 | + | 0.322181i | −0.200778 | + | 0.0164199i | ||||
\(386\) | 26.5174 | − | 20.2760i | 1.34970 | − | 1.03202i | ||||
\(387\) | −12.7476 | + | 13.5526i | −0.647995 | + | 0.688917i | ||||
\(388\) | −0.180049 | − | 0.498190i | −0.00914059 | − | 0.0252918i | ||||
\(389\) | 16.8568 | − | 19.4538i | 0.854676 | − | 0.986349i | −0.145319 | − | 0.989385i | \(-0.546421\pi\) |
0.999995 | + | 0.00303599i | \(0.000966388\pi\) | |||||||
\(390\) | −0.0504555 | + | 0.221060i | −0.00255491 | + | 0.0111938i | ||||
\(391\) | 1.52842 | + | 4.58088i | 0.0772953 | + | 0.231665i | ||||
\(392\) | 18.6207 | − | 8.96723i | 0.940485 | − | 0.452914i | ||||
\(393\) | 0.151283 | + | 0.206446i | 0.00763120 | + | 0.0104138i | ||||
\(394\) | −25.7440 | + | 16.5446i | −1.29696 | + | 0.833507i | ||||
\(395\) | 16.7431 | + | 1.36927i | 0.842435 | + | 0.0688955i | ||||
\(396\) | 2.89992 | − | 5.72022i | 0.145726 | − | 0.287452i | ||||
\(397\) | 5.92247 | − | 0.484348i | 0.297240 | − | 0.0243087i | 0.0680222 | − | 0.997684i | \(-0.478331\pi\) |
0.229218 | + | 0.973375i | \(0.426383\pi\) | |||||||
\(398\) | −15.9121 | − | 28.4470i | −0.797599 | − | 1.42592i | ||||
\(399\) | 0.102283 | − | 0.0346233i | 0.00512054 | − | 0.00173334i | ||||
\(400\) | 0.134601 | + | 6.59718i | 0.00673004 | + | 0.329859i | ||||
\(401\) | 9.81582 | + | 8.86240i | 0.490178 | + | 0.442567i | 0.877641 | − | 0.479318i | \(-0.159116\pi\) |
−0.387463 | + | 0.921885i | \(0.626648\pi\) | |||||||
\(402\) | 0.0501296 | − | 0.269963i | 0.00250024 | − | 0.0134645i | ||||
\(403\) | −18.9318 | + | 0.772846i | −0.943062 | + | 0.0384982i | ||||
\(404\) | 0.0772385 | + | 0.0697363i | 0.00384276 | + | 0.00346951i | ||||
\(405\) | 6.28466 | − | 13.7615i | 0.312287 | − | 0.683814i | ||||
\(406\) | −2.47256 | + | 1.65089i | −0.122711 | + | 0.0819325i | ||||
\(407\) | −51.9368 | + | 15.2500i | −2.57441 | + | 0.755915i | ||||
\(408\) | 0.0684770 | − | 0.101919i | 0.00339011 | − | 0.00504576i | ||||
\(409\) | −10.2194 | − | 2.55290i | −0.505316 | − | 0.126233i | −0.0186590 | − | 0.999826i | \(-0.505940\pi\) |
−0.486657 | + | 0.873593i | \(0.661784\pi\) | |||||||
\(410\) | −12.2448 | + | 13.0181i | −0.604727 | + | 0.642917i | ||||
\(411\) | −0.361154 | + | 0.0444272i | −0.0178144 | + | 0.00219143i | ||||
\(412\) | −1.03025 | + | 3.79332i | −0.0507569 | + | 0.186883i | ||||
\(413\) | −1.99439 | + | 2.50089i | −0.0981377 | + | 0.123061i | ||||
\(414\) | −14.2821 | + | 11.2880i | −0.701928 | + | 0.554776i | ||||
\(415\) | −0.529546 | − | 2.32009i | −0.0259944 | − | 0.113889i | ||||
\(416\) | −5.85122 | − | 0.238862i | −0.286880 | − | 0.0117112i | ||||
\(417\) | 0.173122 | + | 0.479025i | 0.00847782 | + | 0.0234579i | ||||
\(418\) | −5.97739 | − | 41.5736i | −0.292364 | − | 2.03343i | ||||
\(419\) | −15.3901 | + | 3.18386i | −0.751855 | + | 0.155542i | −0.562993 | − | 0.826462i | \(-0.690350\pi\) |
−0.188862 | + | 0.982004i | \(0.560480\pi\) | |||||||
\(420\) | 0.00353098 | + | 0.0111768i | 0.000172294 | + | 0.000545370i | ||||
\(421\) | −2.38918 | + | 2.15712i | −0.116441 | + | 0.105131i | −0.726297 | − | 0.687382i | \(-0.758760\pi\) |
0.609855 | + | 0.792513i | \(0.291228\pi\) | |||||||
\(422\) | −11.8287 | + | 11.5898i | −0.575810 | + | 0.564182i | ||||
\(423\) | −11.6806 | + | 25.5768i | −0.567928 | + | 1.24359i | ||||
\(424\) | −8.46298 | + | 15.1298i | −0.410998 | + | 0.734769i | ||||
\(425\) | −0.398052 | + | 2.14363i | −0.0193083 | + | 0.103981i | ||||
\(426\) | 0.208794 | − | 0.284928i | 0.0101161 | − | 0.0138048i | ||||
\(427\) | −0.125862 | + | 2.05401i | −0.00609090 | + | 0.0994004i | ||||
\(428\) | 1.91505 | + | 3.77752i | 0.0925673 | + | 0.182593i | ||||
\(429\) | −0.568394 | − | 0.0699208i | −0.0274423 | − | 0.00337581i | ||||
\(430\) | −13.0506 | − | 2.14897i | −0.629358 | − | 0.103633i | ||||
\(431\) | 6.41272 | − | 3.76076i | 0.308890 | − | 0.181149i | −0.343258 | − | 0.939241i | \(-0.611531\pi\) |
0.652148 | + | 0.758092i | \(0.273868\pi\) | |||||||
\(432\) | 0.712576 | + | 0.178008i | 0.0342838 | + | 0.00856442i | ||||
\(433\) | 9.67203 | − | 30.6153i | 0.464808 | − | 1.47128i | −0.374298 | − | 0.927308i | \(-0.622116\pi\) |
0.839106 | − | 0.543967i | \(-0.183078\pi\) | |||||||
\(434\) | 3.32373 | − | 2.13603i | 0.159544 | − | 0.102533i | ||||
\(435\) | 0.157113 | + | 0.328675i | 0.00753299 | + | 0.0157588i | ||||
\(436\) | −5.40415 | −0.258812 | ||||||||
\(437\) | 8.45054 | − | 28.3222i | 0.404244 | − | 1.35483i | ||||
\(438\) | 0.133123 | − | 0.166931i | 0.00636087 | − | 0.00797628i | ||||
\(439\) | 25.2030 | + | 1.02885i | 1.20287 | + | 0.0491043i | 0.634008 | − | 0.773327i | \(-0.281409\pi\) |
0.568865 | + | 0.822431i | \(0.307383\pi\) | |||||||
\(440\) | 27.3025 | − | 3.35861i | 1.30159 | − | 0.160115i | ||||
\(441\) | 11.3872 | + | 16.9484i | 0.542245 | + | 0.807065i | ||||
\(442\) | 3.27448 | + | 0.817996i | 0.155751 | + | 0.0389081i | ||||
\(443\) | 3.99753 | − | 0.326923i | 0.189928 | − | 0.0155326i | 0.0138257 | − | 0.999904i | \(-0.495599\pi\) |
0.176103 | + | 0.984372i | \(0.443651\pi\) | |||||||
\(444\) | 0.0783593 | + | 0.140088i | 0.00371877 | + | 0.00664829i | ||||
\(445\) | −2.61446 | − | 25.5431i | −0.123937 | − | 1.21086i | ||||
\(446\) | 2.14509 | + | 1.64020i | 0.101573 | + | 0.0776658i | ||||
\(447\) | −0.464673 | − | 0.136440i | −0.0219783 | − | 0.00645340i | ||||
\(448\) | 3.42338 | − | 1.82423i | 0.161740 | − | 0.0861867i | ||||
\(449\) | 29.5114 | + | 12.7564i | 1.39273 | + | 0.602012i | 0.954868 | − | 0.297031i | \(-0.0959965\pi\) |
0.437859 | + | 0.899044i | \(0.355737\pi\) | |||||||
\(450\) | −8.10974 | + | 1.33538i | −0.382297 | + | 0.0629505i | ||||
\(451\) | −35.8572 | − | 27.4175i | −1.68845 | − | 1.29104i | ||||
\(452\) | −1.14977 | − | 0.738912i | −0.0540806 | − | 0.0347555i | ||||
\(453\) | 0.0330178 | + | 0.538835i | 0.00155131 | + | 0.0253167i | ||||
\(454\) | −13.9646 | + | 8.18957i | −0.655391 | + | 0.384356i | ||||
\(455\) | −1.54429 | + | 1.18081i | −0.0723972 | + | 0.0553571i | ||||
\(456\) | −0.701402 | + | 0.269791i | −0.0328462 | + | 0.0126341i | ||||
\(457\) | 2.68992 | − | 26.2803i | 0.125829 | − | 1.22934i | −0.719271 | − | 0.694730i | \(-0.755524\pi\) |
0.845100 | − | 0.534609i | \(-0.179541\pi\) | |||||||
\(458\) | 9.42770 | − | 34.7121i | 0.440527 | − | 1.62199i | ||||
\(459\) | 0.218649 | + | 0.105296i | 0.0102057 | + | 0.00491479i | ||||
\(460\) | 3.05492 | + | 0.979795i | 0.142436 | + | 0.0456832i | ||||
\(461\) | −9.18263 | + | 11.5147i | −0.427678 | + | 0.536291i | −0.948249 | − | 0.317527i | \(-0.897148\pi\) |
0.520571 | + | 0.853818i | \(0.325719\pi\) | |||||||
\(462\) | 0.109612 | − | 0.0473804i | 0.00509963 | − | 0.00220434i | ||||
\(463\) | −1.44479 | + | 0.928508i | −0.0671449 | + | 0.0431514i | −0.573783 | − | 0.819008i | \(-0.694525\pi\) |
0.506638 | + | 0.862159i | \(0.330888\pi\) | |||||||
\(464\) | 13.2655 | − | 9.66211i | 0.615837 | − | 0.448552i | ||||
\(465\) | −0.201111 | − | 0.440371i | −0.00932628 | − | 0.0204217i | ||||
\(466\) | −0.206082 | + | 0.306728i | −0.00954657 | + | 0.0142089i | ||||
\(467\) | 4.25177 | − | 10.4146i | 0.196749 | − | 0.481931i | −0.795537 | − | 0.605905i | \(-0.792811\pi\) |
0.992285 | + | 0.123975i | \(0.0395642\pi\) | |||||||
\(468\) | −0.321166 | − | 3.13777i | −0.0148459 | − | 0.145043i | ||||
\(469\) | 1.81018 | − | 1.50499i | 0.0835863 | − | 0.0694940i | ||||
\(470\) | −19.7227 | + | 3.24762i | −0.909740 | + | 0.149802i | ||||
\(471\) | −0.548653 | + | 0.0223974i | −0.0252806 | + | 0.00103202i | ||||
\(472\) | 13.1583 | − | 17.9563i | 0.605658 | − | 0.826505i | ||||
\(473\) | 2.04312 | − | 33.3427i | 0.0939428 | − | 1.53310i | ||||
\(474\) | −0.492380 | + | 0.123001i | −0.0226157 | + | 0.00564963i | ||||
\(475\) | 9.53140 | − | 9.33892i | 0.437331 | − | 0.428499i | ||||
\(476\) | 0.167404 | − | 0.0491542i | 0.00767294 | − | 0.00225298i | ||||
\(477\) | −15.9854 | − | 6.14869i | −0.731920 | − | 0.281529i | ||||
\(478\) | 7.48047 | + | 6.21929i | 0.342149 | + | 0.284464i | ||||
\(479\) | −2.97987 | − | 4.43517i | −0.136154 | − | 0.202648i | 0.755766 | − | 0.654842i | \(-0.227265\pi\) |
−0.891920 | + | 0.452194i | \(0.850641\pi\) | |||||||
\(480\) | −0.0508562 | − | 0.140718i | −0.00232126 | − | 0.00642286i | ||||
\(481\) | −17.4335 | + | 20.1193i | −0.794898 | + | 0.917362i | ||||
\(482\) | 3.55152 | − | 15.5602i | 0.161767 | − | 0.708749i | ||||
\(483\) | 0.0840055 | + | 0.00208065i | 0.00382238 | + | 9.46728e-5i | ||||
\(484\) | 1.58972 | + | 6.96501i | 0.0722599 | + | 0.316591i | ||||
\(485\) | 1.98106 | + | 1.05565i | 0.0899553 | + | 0.0479348i | ||||
\(486\) | −0.139740 | + | 1.36524i | −0.00633871 | + | 0.0619287i | ||||
\(487\) | −19.2030 | − | 28.5813i | −0.870172 | − | 1.29514i | −0.954350 | − | 0.298691i | \(-0.903450\pi\) |
0.0841782 | − | 0.996451i | \(-0.473174\pi\) | |||||||
\(488\) | 0.292136 | − | 14.3184i | 0.0132244 | − | 0.648165i | ||||
\(489\) | 0.100128 | − | 0.0587201i | 0.00452792 | − | 0.00265541i | ||||
\(490\) | −5.48620 | + | 13.4383i | −0.247841 | + | 0.607080i | ||||
\(491\) | 18.9357 | + | 30.8297i | 0.854558 | + | 1.39132i | 0.919356 | + | 0.393426i | \(0.128710\pi\) |
−0.0647979 | + | 0.997898i | \(0.520640\pi\) | |||||||
\(492\) | −0.0556041 | + | 0.121756i | −0.00250683 | + | 0.00548919i | ||||
\(493\) | 4.93903 | − | 2.23835i | 0.222443 | − | 0.100810i | ||||
\(494\) | −13.5273 | − | 15.6114i | −0.608624 | − | 0.702389i | ||||
\(495\) | 7.12314 | + | 26.2269i | 0.320161 | + | 1.17881i | ||||
\(496\) | −17.8509 | + | 12.5295i | −0.801529 | + | 0.562591i | ||||
\(497\) | 2.93822 | − | 0.733995i | 0.131797 | − | 0.0329242i | ||||
\(498\) | 0.0376273 | + | 0.0612618i | 0.00168612 | + | 0.00274521i | ||||
\(499\) | 7.70265 | − | 6.95449i | 0.344818 | − | 0.311326i | −0.479402 | − | 0.877595i | \(-0.659146\pi\) |
0.824220 | + | 0.566270i | \(0.191614\pi\) | |||||||
\(500\) | 3.28404 | + | 3.49143i | 0.146867 | + | 0.156142i | ||||
\(501\) | −0.576151 | + | 0.440542i | −0.0257405 | + | 0.0196820i | ||||
\(502\) | 18.2634 | − | 7.02492i | 0.815136 | − | 0.313538i | ||||
\(503\) | 27.6427 | + | 9.35725i | 1.23253 | + | 0.417219i | 0.859757 | − | 0.510704i | \(-0.170615\pi\) |
0.372772 | + | 0.927923i | \(0.378407\pi\) | |||||||
\(504\) | 2.34565 | + | 3.20096i | 0.104484 | + | 0.142582i | ||||
\(505\) | −0.440974 | −0.0196231 | ||||||||
\(506\) | 6.76108 | − | 31.9777i | 0.300566 | − | 1.42158i | ||||
\(507\) | 0.216839 | − | 0.104424i | 0.00963016 | − | 0.00463764i | ||||
\(508\) | 0.576839 | − | 2.12388i | 0.0255931 | − | 0.0942320i | ||||
\(509\) | 3.16758 | + | 8.76461i | 0.140400 | + | 0.388484i | 0.990388 | − | 0.138319i | \(-0.0441698\pi\) |
−0.849987 | + | 0.526803i | \(0.823391\pi\) | |||||||
\(510\) | 0.0122726 | + | 0.0853576i | 0.000543439 | + | 0.00377970i | ||||
\(511\) | 1.79259 | − | 0.370847i | 0.0792997 | − | 0.0164053i | ||||
\(512\) | −21.7708 | + | 12.7676i | −0.962144 | + | 0.564252i | ||||
\(513\) | −0.725088 | − | 1.29629i | −0.0320134 | − | 0.0572325i | ||||
\(514\) | 4.54293 | − | 12.5702i | 0.200380 | − | 0.554447i | ||||
\(515\) | −7.53178 | − | 14.8568i | −0.331890 | − | 0.654668i | ||||
\(516\) | −0.0977431 | + | 0.0160948i | −0.00430290 | + | 0.000708533i | ||||
\(517\) | −13.2318 | − | 48.7186i | −0.581934 | − | 2.14264i | ||||
\(518\) | 1.01347 | − | 5.45782i | 0.0445292 | − | 0.239803i | ||||
\(519\) | 0.100106 | − | 0.0702645i | 0.00439419 | − | 0.00308427i | ||||
\(520\) | 10.4031 | − | 8.64920i | 0.456207 | − | 0.379293i | ||||
\(521\) | 2.85349 | + | 1.83383i | 0.125014 | + | 0.0803414i | 0.601653 | − | 0.798757i | \(-0.294509\pi\) |
−0.476640 | + | 0.879099i | \(0.658145\pi\) | |||||||
\(522\) | 14.2638 | + | 14.6422i | 0.624309 | + | 0.640872i | ||||
\(523\) | −3.09310 | + | 21.5130i | −0.135252 | + | 0.940697i | 0.803304 | + | 0.595569i | \(0.203073\pi\) |
−0.938556 | + | 0.345127i | \(0.887836\pi\) | |||||||
\(524\) | 0.0516276 | − | 2.53042i | 0.00225536 | − | 0.110542i | ||||
\(525\) | 0.0327261 | + | 0.0191923i | 0.00142828 | + | 0.000837621i | ||||
\(526\) | 10.4595 | + | 3.54062i | 0.456058 | + | 0.154378i | ||||
\(527\) | −6.61463 | + | 2.85920i | −0.288138 | + | 0.124549i | ||||
\(528\) | −0.593891 | + | 0.286003i | −0.0258458 | + | 0.0124467i | ||||
\(529\) | 13.7562 | − | 18.4327i | 0.598097 | − | 0.801424i | ||||
\(530\) | −2.70926 | − | 11.8700i | −0.117683 | − | 0.515601i | ||||
\(531\) | 19.4095 | + | 10.3428i | 0.842302 | + | 0.448840i | ||||
\(532\) | −1.01145 | − | 0.342381i | −0.0438518 | − | 0.0148441i | ||||
\(533\) | −22.1258 | − | 1.80948i | −0.958375 | − | 0.0783772i | ||||
\(534\) | 0.322241 | + | 0.705610i | 0.0139447 | + | 0.0305347i | ||||
\(535\) | −16.7507 | − | 6.44308i | −0.724198 | − | 0.278559i | ||||
\(536\) | −12.1600 | + | 10.9789i | −0.525233 | + | 0.474217i | ||||
\(537\) | −0.373890 | − | 0.0459939i | −0.0161345 | − | 0.00198478i | ||||
\(538\) | 8.98501 | + | 6.87020i | 0.387371 | + | 0.296196i | ||||
\(539\) | −35.1749 | − | 10.3283i | −1.51509 | − | 0.444871i | ||||
\(540\) | 0.142284 | − | 0.0758190i | 0.00612291 | − | 0.00326273i | ||||
\(541\) | −1.44356 | + | 7.77398i | −0.0620634 | + | 0.334230i | −0.999918 | − | 0.0127984i | \(-0.995926\pi\) |
0.937855 | + | 0.347028i | \(0.112809\pi\) | |||||||
\(542\) | −1.07995 | + | 17.6242i | −0.0463878 | + | 0.757026i | ||||
\(543\) | −0.689826 | − | 0.142709i | −0.0296033 | − | 0.00612425i | ||||
\(544\) | −2.10959 | + | 0.714111i | −0.0904481 | + | 0.0306173i | ||||
\(545\) | 16.9976 | − | 15.3466i | 0.728099 | − | 0.657378i | ||||
\(546\) | 0.0327529 | − | 0.0487487i | 0.00140170 | − | 0.00208625i | ||||
\(547\) | 11.9831 | − | 23.6373i | 0.512361 | − | 1.01066i | −0.478792 | − | 0.877929i | \(-0.658925\pi\) |
0.991153 | − | 0.132728i | \(-0.0423736\pi\) | |||||||
\(548\) | 3.10389 | + | 1.82029i | 0.132592 | + | 0.0777588i | ||||
\(549\) | 14.0431 | − | 1.72751i | 0.599344 | − | 0.0737282i | ||||
\(550\) | 9.66347 | − | 11.1522i | 0.412052 | − | 0.475533i | ||||
\(551\) | −32.6125 | − | 6.15342i | −1.38934 | − | 0.262144i | ||||
\(552\) | −0.584730 | + | 0.00937808i | −0.0248877 | + | 0.000399158i | ||||
\(553\) | −3.92024 | − | 1.88789i | −0.166706 | − | 0.0802812i | ||||
\(554\) | 3.56908 | + | 19.2205i | 0.151636 | + | 0.816602i | ||||
\(555\) | −0.644283 | − | 0.218094i | −0.0273483 | − | 0.00925758i | ||||
\(556\) | 1.51732 | − | 4.80284i | 0.0643487 | − | 0.203686i | ||||
\(557\) | 21.2897 | + | 17.7004i | 0.902075 | + | 0.749989i | 0.968816 | − | 0.247782i | \(-0.0797016\pi\) |
−0.0667408 | + | 0.997770i | \(0.521260\pi\) | |||||||
\(558\) | −18.6118 | − | 19.7872i | −0.787900 | − | 0.837657i | ||||
\(559\) | −8.02035 | − | 14.3385i | −0.339225 | − | 0.606455i | ||||
\(560\) | −0.760535 | + | 2.10438i | −0.0321385 | + | 0.0889264i | ||||
\(561\) | −0.211307 | + | 0.0527865i | −0.00892139 | + | 0.00222865i | ||||
\(562\) | 12.8220 | − | 22.9227i | 0.540861 | − | 0.966934i | ||||
\(563\) | −26.7712 | − | 30.8957i | −1.12827 | − | 1.30210i | −0.947925 | − | 0.318494i | \(-0.896823\pi\) |
−0.180348 | − | 0.983603i | \(-0.557722\pi\) | |||||||
\(564\) | −0.132116 | + | 0.0704010i | −0.00556309 | + | 0.00296442i | ||||
\(565\) | 5.71472 | − | 0.941009i | 0.240420 | − | 0.0395885i | ||||
\(566\) | 0.318466 | + | 15.6090i | 0.0133861 | + | 0.656093i | ||||
\(567\) | −2.79892 | + | 2.74239i | −0.117543 | + | 0.115170i | ||||
\(568\) | −20.2228 | + | 5.93794i | −0.848529 | + | 0.249151i | ||||
\(569\) | 37.8940 | + | 14.5757i | 1.58860 | + | 0.611046i | 0.982817 | − | 0.184585i | \(-0.0590940\pi\) |
0.605782 | + | 0.795630i | \(0.292860\pi\) | |||||||
\(570\) | 0.238652 | − | 0.470753i | 0.00999604 | − | 0.0197177i | ||||
\(571\) | 10.5738 | − | 4.06715i | 0.442500 | − | 0.170205i | −0.127520 | − | 0.991836i | \(-0.540702\pi\) |
0.570020 | + | 0.821631i | \(0.306935\pi\) | |||||||
\(572\) | 4.04503 | + | 3.96334i | 0.169131 | + | 0.165716i | ||||
\(573\) | 0.128927 | + | 0.694313i | 0.00538602 | + | 0.0290053i | ||||
\(574\) | 4.17063 | − | 2.00847i | 0.174079 | − | 0.0838318i | ||||
\(575\) | 9.46444 | − | 4.27246i | 0.394694 | − | 0.178174i | ||||
\(576\) | −16.6291 | − | 20.8522i | −0.692878 | − | 0.868841i | ||||
\(577\) | 1.48109 | + | 7.97612i | 0.0616587 | + | 0.332050i | 0.999903 | − | 0.0139229i | \(-0.00443194\pi\) |
−0.938244 | + | 0.345973i | \(0.887549\pi\) | |||||||
\(578\) | −20.0865 | + | 2.47093i | −0.835487 | + | 0.102777i | ||||
\(579\) | 0.150773 | + | 1.04865i | 0.00626590 | + | 0.0435803i | ||||
\(580\) | 0.740002 | − | 3.52561i | 0.0307269 | − | 0.146393i | ||||
\(581\) | −0.0877211 | + | 0.610113i | −0.00363928 | + | 0.0253118i | ||||
\(582\) | −0.0669153 | − | 0.0110186i | −0.00277373 | − | 0.000456734i | ||||
\(583\) | 29.1270 | − | 9.85969i | 1.20632 | − | 0.408346i | ||||
\(584\) | −12.3597 | + | 3.08757i | −0.511447 | + | 0.127764i | ||||
\(585\) | 9.92075 | + | 8.95715i | 0.410173 | + | 0.370332i | ||||
\(586\) | 28.8579 | + | 12.4739i | 1.19211 | + | 0.515294i | ||||
\(587\) | −36.8805 | + | 1.50555i | −1.52222 | + | 0.0621409i | −0.787536 | − | 0.616269i | \(-0.788643\pi\) |
−0.734684 | + | 0.678410i | \(0.762669\pi\) | |||||||
\(588\) | −0.00664892 | + | 0.108507i | −0.000274197 | + | 0.00447476i | ||||
\(589\) | 43.1895 | + | 8.93493i | 1.77959 | + | 0.368157i | ||||
\(590\) | 1.59195 | + | 15.5533i | 0.0655397 | + | 0.640317i | ||||
\(591\) | −0.0594021 | − | 0.969413i | −0.00244348 | − | 0.0398763i | ||||
\(592\) | −4.36085 | + | 30.3304i | −0.179230 | + | 1.24657i | ||||
\(593\) | −26.4320 | + | 5.46819i | −1.08543 | + | 0.224552i | −0.711346 | − | 0.702842i | \(-0.751914\pi\) |
−0.374088 | + | 0.927393i | \(0.622044\pi\) | |||||||
\(594\) | −0.916016 | − | 1.36338i | −0.0375846 | − | 0.0559400i | ||||
\(595\) | −0.386946 | + | 0.629995i | −0.0158632 | + | 0.0258273i | ||||
\(596\) | 2.83070 | + | 3.86288i | 0.115950 | + | 0.158230i | ||||
\(597\) | 1.03448 | 0.0423386 | ||||||||
\(598\) | −5.70538 | − | 15.0282i | −0.233310 | − | 0.614550i | ||||
\(599\) | −6.89691 | − | 8.64846i | −0.281800 | − | 0.353366i | 0.620706 | − | 0.784044i | \(-0.286846\pi\) |
−0.902506 | + | 0.430677i | \(0.858275\pi\) | |||||||
\(600\) | −0.233011 | − | 0.124166i | −0.00951265 | − | 0.00506904i | ||||
\(601\) | −12.6303 | − | 12.3752i | −0.515201 | − | 0.504797i | 0.395160 | − | 0.918613i | \(-0.370689\pi\) |
−0.910361 | + | 0.413816i | \(0.864196\pi\) | |||||||
\(602\) | 2.95511 | + | 1.73303i | 0.120441 | + | 0.0706332i | ||||
\(603\) | −12.4460 | − | 10.3477i | −0.506840 | − | 0.421389i | ||||
\(604\) | 2.97716 | − | 4.43113i | 0.121139 | − | 0.180300i | ||||
\(605\) | −24.7793 | − | 17.3925i | −1.00742 | − | 0.707107i | ||||
\(606\) | 0.0126188 | − | 0.00427155i | 0.000512604 | − | 0.000173520i | ||||
\(607\) | −30.4939 | + | 25.3527i | −1.23771 | + | 1.02903i | −0.239398 | + | 0.970922i | \(0.576950\pi\) |
−0.998310 | + | 0.0581132i | \(0.981492\pi\) | |||||||
\(608\) | 13.0790 | + | 3.84034i | 0.530423 | + | 0.155746i | ||||
\(609\) | −0.00741914 | − | 0.0940653i | −0.000300639 | − | 0.00381172i | ||||
\(610\) | 6.58670 | + | 7.60145i | 0.266688 | + | 0.307774i | ||||
\(611\) | −18.4286 | − | 16.6386i | −0.745541 | − | 0.673127i | ||||
\(612\) | −0.542419 | − | 1.06995i | −0.0219260 | − | 0.0432501i | ||||
\(613\) | −2.11278 | − | 20.6416i | −0.0853342 | − | 0.833708i | −0.945919 | − | 0.324402i | \(-0.894837\pi\) |
0.860585 | − | 0.509306i | \(-0.170098\pi\) | |||||||
\(614\) | −15.3130 | − | 2.52150i | −0.617981 | − | 0.101759i | ||||
\(615\) | −0.170870 | − | 0.540862i | −0.00689015 | − | 0.0218097i | ||||
\(616\) | −6.91256 | − | 1.72682i | −0.278515 | − | 0.0695758i | ||||
\(617\) | 3.95394 | − | 1.52086i | 0.159180 | − | 0.0612275i | −0.278105 | − | 0.960551i | \(-0.589706\pi\) |
0.437285 | + | 0.899323i | \(0.355940\pi\) | |||||||
\(618\) | 0.359440 | + | 0.352181i | 0.0144588 | + | 0.0141668i | ||||
\(619\) | −6.77247 | − | 0.276469i | −0.272208 | − | 0.0111122i | −0.0956959 | − | 0.995411i | \(-0.530508\pi\) |
−0.176513 | + | 0.984298i | \(0.556482\pi\) | |||||||
\(620\) | −1.06528 | + | 4.66731i | −0.0427828 | + | 0.187443i | ||||
\(621\) | −0.182818 | − | 1.14129i | −0.00733623 | − | 0.0457982i | ||||
\(622\) | −0.875847 | + | 3.83734i | −0.0351183 | + | 0.153863i | ||||
\(623\) | −1.74312 | + | 6.41804i | −0.0698365 | + | 0.257133i | ||||
\(624\) | −0.169671 | + | 0.276244i | −0.00679226 | + | 0.0110586i | ||||
\(625\) | −9.45402 | − | 0.773163i | −0.378161 | − | 0.0309265i | ||||
\(626\) | 16.0300 | + | 35.1009i | 0.640689 | + | 1.40291i | ||||
\(627\) | 1.24415 | + | 0.478556i | 0.0496867 | + | 0.0191117i | ||||
\(628\) | 4.44447 | + | 3.11956i | 0.177354 | + | 0.124484i | ||||
\(629\) | −3.44128 | + | 9.52195i | −0.137213 | + | 0.379665i | ||||
\(630\) | −2.72928 | − | 0.564627i | −0.108737 | − | 0.0224953i | ||||
\(631\) | −17.7290 | + | 12.4439i | −0.705780 | + | 0.495386i | −0.871256 | − | 0.490828i | \(-0.836694\pi\) |
0.165476 | + | 0.986214i | \(0.447084\pi\) | |||||||
\(632\) | 27.7956 | + | 12.0148i | 1.10565 | + | 0.477922i | ||||
\(633\) | −0.137756 | − | 0.507207i | −0.00547529 | − | 0.0201597i | ||||
\(634\) | −10.3907 | − | 25.4518i | −0.412669 | − | 1.01082i | ||||
\(635\) | 4.21705 | + | 8.31832i | 0.167348 | + | 0.330103i | ||||
\(636\) | −0.0477244 | − | 0.0777012i | −0.00189240 | − | 0.00308105i | ||||
\(637\) | −17.2996 | + | 5.07961i | −0.685434 | + | 0.201262i | ||||
\(638\) | −36.4993 | − | 3.84253i | −1.44502 | − | 0.152127i | ||||
\(639\) | −8.65006 | − | 18.9410i | −0.342191 | − | 0.749294i | ||||
\(640\) | 3.46788 | − | 10.9770i | 0.137080 | − | 0.433905i | ||||
\(641\) | 0.335830 | − | 3.28103i | 0.0132645 | − | 0.129593i | −0.986058 | − | 0.166403i | \(-0.946785\pi\) |
0.999322 | + | 0.0368103i | \(0.0117197\pi\) | |||||||
\(642\) | 0.541748 | + | 0.0221155i | 0.0213811 | + | 0.000872830i | ||||
\(643\) | −8.65695 | − | 4.16897i | −0.341397 | − | 0.164408i | 0.255327 | − | 0.966855i | \(-0.417817\pi\) |
−0.596724 | + | 0.802447i | \(0.703531\pi\) | |||||||
\(644\) | −0.647407 | − | 0.520927i | −0.0255114 | − | 0.0205274i | ||||
\(645\) | 0.261725 | − | 0.328192i | 0.0103054 | − | 0.0129226i | ||||
\(646\) | −6.93324 | − | 3.69454i | −0.272785 | − | 0.145360i | ||||
\(647\) | −17.5004 | − | 17.1470i | −0.688013 | − | 0.674119i | 0.269338 | − | 0.963046i | \(-0.413195\pi\) |
−0.957351 | + | 0.288927i | \(0.906702\pi\) | |||||||
\(648\) | 18.6840 | − | 19.8640i | 0.733978 | − | 0.780331i | ||||
\(649\) | −38.6685 | + | 7.99964i | −1.51787 | + | 0.314014i | ||||
\(650\) | 1.03285 | − | 7.18362i | 0.0405116 | − | 0.281765i | ||||
\(651\) | 0.00766925 | + | 0.125158i | 0.000300581 | + | 0.00490534i | ||||
\(652\) | −1.13925 | − | 0.140145i | −0.0446167 | − | 0.00548850i | ||||
\(653\) | 0.157591 | + | 7.72400i | 0.00616701 | + | 0.302263i | 0.991387 | + | 0.130968i | \(0.0418084\pi\) |
−0.985220 | + | 0.171296i | \(0.945205\pi\) | |||||||
\(654\) | −0.337743 | + | 0.603806i | −0.0132068 | + | 0.0236107i | ||||
\(655\) | 7.02347 | + | 8.10551i | 0.274430 | + | 0.316709i | ||||
\(656\) | −22.5506 | + | 12.0166i | −0.880453 | + | 0.469169i | ||||
\(657\) | −4.75712 | − | 11.6524i | −0.185593 | − | 0.454605i | ||||
\(658\) | 5.06986 | + | 1.04884i | 0.197644 | + | 0.0408880i | ||||
\(659\) | −4.15069 | + | 11.4849i | −0.161688 | + | 0.447387i | −0.994319 | − | 0.106441i | \(-0.966054\pi\) |
0.832631 | + | 0.553828i | \(0.186834\pi\) | |||||||
\(660\) | −0.0546895 | + | 0.133960i | −0.00212879 | + | 0.00521441i | ||||
\(661\) | 0.774983 | + | 2.45308i | 0.0301433 | + | 0.0954139i | 0.967424 | − | 0.253162i | \(-0.0814706\pi\) |
−0.937281 | + | 0.348576i | \(0.886665\pi\) | |||||||
\(662\) | 0.577096 | − | 28.2851i | 0.0224295 | − | 1.09933i | ||||
\(663\) | −0.0733908 | + | 0.0780255i | −0.00285026 | + | 0.00303026i | ||||
\(664\) | 0.436787 | − | 4.26737i | 0.0169506 | − | 0.165606i | ||||
\(665\) | 4.15358 | − | 1.79540i | 0.161069 | − | 0.0696228i | ||||
\(666\) | −38.1671 | −1.47894 | ||||||||
\(667\) | −22.1826 | − | 13.2262i | −0.858913 | − | 0.512121i | ||||
\(668\) | 7.17208 | 0.277496 | ||||||||
\(669\) | −0.0786668 | + | 0.0340041i | −0.00304143 | + | 0.00131467i | ||||
\(670\) | 1.17158 | − | 11.4462i | 0.0452621 | − | 0.442207i | ||||
\(671\) | −17.4049 | + | 18.5041i | −0.671910 | + | 0.714343i | ||||
\(672\) | −0.000790544 | 0.0387469i | −3.04959e−5 | 0.00149469i | ||||||
\(673\) | −0.0519136 | − | 0.164324i | −0.00200112 | − | 0.00633423i | 0.952541 | − | 0.304412i | \(-0.0984598\pi\) |
−0.954542 | + | 0.298077i | \(0.903655\pi\) | |||||||
\(674\) | −11.2449 | + | 27.5441i | −0.433137 | + | 1.06096i | ||||
\(675\) | 0.177368 | − | 0.490772i | 0.00682689 | − | 0.0188898i | ||||
\(676\) | −2.33060 | − | 0.482149i | −0.0896386 | − | 0.0185442i | ||||
\(677\) | 14.1752 | + | 34.7217i | 0.544796 | + | 1.33446i | 0.914226 | + | 0.405204i | \(0.132800\pi\) |
−0.369430 | + | 0.929258i | \(0.620447\pi\) | |||||||
\(678\) | −0.154416 | + | 0.0822841i | −0.00593031 | + | 0.00316010i | ||||
\(679\) | −0.380752 | − | 0.439411i | −0.0146119 | − | 0.0168630i | ||||
\(680\) | 2.51183 | − | 4.49056i | 0.0963242 | − | 0.172205i | ||||
\(681\) | −0.0104807 | − | 0.513688i | −0.000401620 | − | 0.0196846i | ||||
\(682\) | 48.4077 | + | 5.95486i | 1.85363 | + | 0.228023i | ||||
\(683\) | 1.81426 | + | 29.6078i | 0.0694207 | + | 1.13291i | 0.856530 | + | 0.516097i | \(0.172616\pi\) |
−0.787109 | + | 0.616814i | \(0.788423\pi\) | |||||||
\(684\) | −1.04486 | + | 7.26716i | −0.0399512 | + | 0.277867i | ||||
\(685\) | −14.9319 | + | 3.08906i | −0.570517 | + | 0.118027i | ||||
\(686\) | 5.22362 | − | 5.55350i | 0.199439 | − | 0.212034i | ||||
\(687\) | 0.815417 | + | 0.798950i | 0.0311101 | + | 0.0304818i | ||||
\(688\) | −16.6889 | − | 8.89308i | −0.636259 | − | 0.339045i | ||||
\(689\) | 9.42940 | − | 11.8241i | 0.359232 | − | 0.450462i | ||||
\(690\) | 0.300396 | − | 0.280092i | 0.0114359 | − | 0.0106629i | ||||
\(691\) | 31.1257 | + | 14.9894i | 1.18408 | + | 0.570222i | 0.919097 | − | 0.394031i | \(-0.128920\pi\) |
0.264982 | + | 0.964253i | \(0.414634\pi\) | |||||||
\(692\) | −1.20843 | − | 0.0493313i | −0.0459377 | − | 0.00187529i | ||||
\(693\) | 0.716751 | − | 7.00260i | 0.0272271 | − | 0.266007i | ||||
\(694\) | 5.98092 | − | 18.9317i | 0.227033 | − | 0.718636i | ||||
\(695\) | 8.86662 | + | 19.4152i | 0.336330 | + | 0.736460i | ||||
\(696\) | 0.0782913 | + | 0.651984i | 0.00296762 | + | 0.0247134i | ||||
\(697\) | −8.10095 | + | 2.37865i | −0.306845 | + | 0.0900979i | ||||
\(698\) | 6.80962 | + | 11.0869i | 0.257748 | + | 0.419645i | ||||
\(699\) | −0.00530305 | − | 0.0104605i | −0.000200580 | − | 0.000395654i | ||||
\(700\) | −0.141800 | − | 0.347335i | −0.00535954 | − | 0.0131280i | ||||
\(701\) | −8.94737 | − | 32.9436i | −0.337938 | − | 1.24426i | −0.906705 | − | 0.421765i | \(-0.861411\pi\) |
0.568768 | − | 0.822498i | \(-0.307420\pi\) | |||||||
\(702\) | −0.741509 | − | 0.320521i | −0.0279865 | − | 0.0120973i | ||||
\(703\) | 50.7200 | − | 35.6002i | 1.91294 | − | 1.34269i | ||||
\(704\) | 46.8928 | + | 9.70107i | 1.76734 | + | 0.365623i | ||||
\(705\) | 0.215619 | − | 0.596613i | 0.00812069 | − | 0.0224697i | ||||
\(706\) | −31.5178 | − | 22.1223i | −1.18619 | − | 0.832584i | ||||
\(707\) | 0.106604 | + | 0.0410044i | 0.00400924 | + | 0.00154213i | ||||
\(708\) | 0.0486430 | + | 0.106513i | 0.00182812 | + | 0.00400302i | ||||
\(709\) | −2.34909 | − | 0.192112i | −0.0882218 | − | 0.00721490i | 0.0373185 | − | 0.999303i | \(-0.488118\pi\) |
−0.125540 | + | 0.992089i | \(0.540066\pi\) | |||||||
\(710\) | 7.74710 | − | 12.6132i | 0.290743 | − | 0.473366i | ||||
\(711\) | −7.84117 | + | 28.8707i | −0.294067 | + | 1.08273i | ||||
\(712\) | 10.2991 | − | 45.1231i | 0.385974 | − | 1.69106i | ||||
\(713\) | 29.1665 | + | 18.0900i | 1.09230 | + | 0.677474i | ||||
\(714\) | 0.00497024 | − | 0.0217760i | 0.000186006 | − | 0.000814947i | ||||
\(715\) | −23.9779 | − | 0.978838i | −0.896721 | − | 0.0366064i | ||||
\(716\) | 2.66082 | + | 2.60709i | 0.0994395 | + | 0.0974314i | ||||
\(717\) | −0.288166 | + | 0.110842i | −0.0107618 | + | 0.00413945i | ||||
\(718\) | 1.46172 | + | 0.365151i | 0.0545508 | + | 0.0136273i | ||||
\(719\) | 3.64739 | + | 11.5452i | 0.136025 | + | 0.430564i | 0.996939 | − | 0.0781860i | \(-0.0249128\pi\) |
−0.860914 | + | 0.508750i | \(0.830108\pi\) | |||||||
\(720\) | 15.1803 | + | 2.49965i | 0.565737 | + | 0.0931565i | ||||
\(721\) | 0.439299 | + | 4.29192i | 0.0163604 | + | 0.159839i | ||||
\(722\) | 10.8653 | + | 21.4323i | 0.404364 | + | 0.797628i | ||||
\(723\) | 0.375974 | + | 0.339456i | 0.0139826 | + | 0.0126245i | ||||
\(724\) | 4.56173 | + | 5.26452i | 0.169535 | + | 0.195654i | ||||
\(725\) | −5.86951 | − | 10.0751i | −0.217988 | − | 0.374180i | ||||
\(726\) | 0.877554 | + | 0.257673i | 0.0325691 | + | 0.00956314i | ||||
\(727\) | 21.1726 | − | 17.6030i | 0.785248 | − | 0.652858i | −0.157066 | − | 0.987588i | \(-0.550204\pi\) |
0.942314 | + | 0.334730i | \(0.108645\pi\) | |||||||
\(728\) | −3.31917 | + | 1.12356i | −0.123017 | + | 0.0416419i | ||||
\(729\) | 22.0282 | + | 15.4616i | 0.815860 | + | 0.572650i | ||||
\(730\) | 4.98973 | − | 7.42659i | 0.184678 | − | 0.274870i | ||||
\(731\) | −4.80466 | − | 3.99462i | −0.177707 | − | 0.147746i | ||||
\(732\) | 0.0649808 | + | 0.0381082i | 0.00240176 | + | 0.00140852i | ||||
\(733\) | −10.9689 | − | 10.7473i | −0.405144 | − | 0.396962i | 0.468551 | − | 0.883437i | \(-0.344776\pi\) |
−0.873695 | + | 0.486474i | \(0.838283\pi\) | |||||||
\(734\) | 21.1972 | + | 11.2954i | 0.782402 | + | 0.416921i | ||||
\(735\) | −0.287224 | − | 0.360168i | −0.0105944 | − | 0.0132850i | ||||
\(736\) | 8.52872 | + | 6.30718i | 0.314373 | + | 0.232486i | ||||
\(737\) | 29.0603 | 1.07045 | ||||||||
\(738\) | −18.8125 | − | 25.6723i | −0.692498 | − | 0.945010i | ||||
\(739\) | −25.5622 | + | 41.6184i | −0.940321 | + | 1.53096i | −0.0958236 | + | 0.995398i | \(0.530548\pi\) |
−0.844498 | + | 0.535559i | \(0.820101\pi\) | |||||||
\(740\) | 3.75117 | + | 5.58315i | 0.137896 | + | 0.205241i | ||||
\(741\) | 0.642003 | − | 0.132816i | 0.0235846 | − | 0.00487911i | ||||
\(742\) | −0.448797 | + | 3.12145i | −0.0164759 | + | 0.114592i | ||||
\(743\) | 1.84137 | + | 30.0503i | 0.0675534 | + | 1.10244i | 0.865892 | + | 0.500230i | \(0.166751\pi\) |
−0.798339 | + | 0.602208i | \(0.794288\pi\) | |||||||
\(744\) | −0.0888565 | − | 0.868121i | −0.00325764 | − | 0.0318269i | ||||
\(745\) | −19.8731 | − | 4.11130i | −0.728095 | − | 0.150626i | ||||
\(746\) | 1.24315 | − | 20.2876i | 0.0455149 | − | 0.742781i | ||||
\(747\) | 4.23448 | − | 0.172862i | 0.154932 | − | 0.00632471i | ||||
\(748\) | 1.97698 | + | 0.854560i | 0.0722857 | + | 0.0312458i | ||||
\(749\) | 3.45030 | + | 3.11517i | 0.126071 | + | 0.113826i | ||||
\(750\) | 0.595340 | − | 0.148722i | 0.0217388 | − | 0.00543055i | ||||
\(751\) | 18.8772 | − | 6.39007i | 0.688840 | − | 0.233177i | 0.0457337 | − | 0.998954i | \(-0.485437\pi\) |
0.643107 | + | 0.765777i | \(0.277645\pi\) | |||||||
\(752\) | −28.1986 | − | 4.64330i | −1.02830 | − | 0.169324i | ||||
\(753\) | −0.0883828 | + | 0.614716i | −0.00322085 | + | 0.0224015i | ||||
\(754\) | −16.1230 | + | 8.11519i | −0.587165 | + | 0.295538i | ||||
\(755\) | 3.21944 | + | 22.3917i | 0.117167 | + | 0.814918i | ||||
\(756\) | −0.0414466 | + | 0.00509853i | −0.00150740 | + | 0.000185432i | ||||
\(757\) | 0.783697 | + | 4.22044i | 0.0284840 | + | 0.153395i | 0.994439 | − | 0.105316i | \(-0.0335855\pi\) |
−0.965955 | + | 0.258711i | \(0.916702\pi\) | |||||||
\(758\) | −26.1041 | − | 32.7335i | −0.948142 | − | 1.18893i | ||||
\(759\) | 0.780991 | + | 0.682721i | 0.0283482 | + | 0.0247812i | ||||
\(760\) | −28.3726 | + | 13.6635i | −1.02918 | + | 0.495629i | ||||
\(761\) | −8.00250 | − | 43.0958i | −0.290090 | − | 1.56222i | −0.742149 | − | 0.670235i | \(-0.766193\pi\) |
0.452059 | − | 0.891988i | \(-0.350690\pi\) | |||||||
\(762\) | −0.201251 | − | 0.197187i | −0.00729054 | − | 0.00714331i | ||||
\(763\) | −5.53613 | + | 2.12944i | −0.200421 | + | 0.0770910i | ||||
\(764\) | 3.15763 | − | 6.22857i | 0.114239 | − | 0.225342i | ||||
\(765\) | 4.74449 | + | 1.82494i | 0.171538 | + | 0.0659810i | ||||
\(766\) | 15.6912 | − | 4.60735i | 0.566946 | − | 0.166470i | ||||
\(767\) | −13.8717 | + | 13.5916i | −0.500878 | + | 0.490763i | ||||
\(768\) | −0.00748646 | − | 0.366933i | −0.000270144 | − | 0.0132406i | ||||
\(769\) | 21.2677 | − | 3.50203i | 0.766934 | − | 0.126287i | 0.233763 | − | 0.972294i | \(-0.424896\pi\) |
0.533172 | + | 0.846007i | \(0.321000\pi\) | |||||||
\(770\) | 4.41614 | − | 2.35324i | 0.159146 | − | 0.0848049i | ||||
\(771\) | 0.277793 | + | 0.320590i | 0.0100045 | + | 0.0115458i | ||||
\(772\) | 5.11434 | − | 9.14325i | 0.184069 | − | 0.329073i | ||||
\(773\) | −2.06351 | + | 0.515484i | −0.0742192 | + | 0.0185407i | −0.279294 | − | 0.960206i | \(-0.590100\pi\) |
0.205075 | + | 0.978746i | \(0.434256\pi\) | |||||||
\(774\) | 8.00585 | − | 22.1520i | 0.287764 | − | 0.796237i | ||||
\(775\) | 7.56446 | + | 13.5235i | 0.271724 | + | 0.485778i | ||||
\(776\) | 2.77232 | + | 2.94740i | 0.0995205 | + | 0.105805i | ||||
\(777\) | 0.135473 | + | 0.112633i | 0.00486007 | + | 0.00404068i | ||||
\(778\) | −9.81686 | + | 31.0737i | −0.351951 | + | 1.11405i | ||||
\(779\) | 48.9456 | + | 16.5684i | 1.75366 | + | 0.593625i | ||||
\(780\) | 0.0129922 | + | 0.0699667i | 0.000465194 | + | 0.00250521i | ||||
\(781\) | 33.6833 | + | 16.2210i | 1.20528 | + | 0.580434i | ||||
\(782\) | −4.07710 | − | 4.55551i | −0.145797 | − | 0.162905i | ||||
\(783\) | −1.25347 | + | 0.336552i | −0.0447955 | + | 0.0120274i | ||||
\(784\) | −13.5903 | + | 15.6840i | −0.485367 | + | 0.560144i | ||||
\(785\) | −22.8380 | + | 2.80941i | −0.815124 | + | 0.100272i | ||||
\(786\) | −0.279497 | − | 0.163912i | −0.00996934 | − | 0.00584655i | ||||
\(787\) | 2.44723 | − | 4.82727i | 0.0872342 | − | 0.172074i | −0.844154 | − | 0.536100i | \(-0.819897\pi\) |
0.931389 | + | 0.364027i | \(0.118598\pi\) | |||||||
\(788\) | −5.35618 | + | 7.97201i | −0.190806 | + | 0.283991i | ||||
\(789\) | −0.260126 | + | 0.234860i | −0.00926075 | + | 0.00836125i | ||||
\(790\) | −20.1442 | + | 6.81893i | −0.716697 | + | 0.242607i | ||||
\(791\) | −1.46901 | − | 0.303905i | −0.0522320 | − | 0.0108056i | ||||
\(792\) | −2.99621 | + | 48.8966i | −0.106466 | + | 1.73747i | ||||
\(793\) | −2.28099 | + | 12.2838i | −0.0810003 | + | 0.436211i | ||||
\(794\) | −6.63895 | + | 3.53772i | −0.235608 | + | 0.125549i | ||||
\(795\) | 0.370762 | + | 0.108866i | 0.0131496 | + | 0.00386106i | ||||
\(796\) | −8.12637 | − | 6.21366i | −0.288032 | − | 0.220238i | ||||
\(797\) | −45.5771 | − | 5.60666i | −1.61442 | − | 0.198598i | −0.736172 | − | 0.676794i | \(-0.763369\pi\) |
−0.878253 | + | 0.478197i | \(0.841291\pi\) | |||||||
\(798\) | −0.101467 | + | 0.0916112i | −0.00359188 | + | 0.00324300i | ||||
\(799\) | −8.81328 | − | 3.38998i | −0.311791 | − | 0.119929i | ||||
\(800\) | 1.98947 | + | 4.35633i | 0.0703384 | + | 0.154020i | ||||
\(801\) | 45.5740 | + | 3.72711i | 1.61028 | + | 0.131691i | ||||
\(802\) | −15.8581 | − | 5.36808i | −0.559970 | − | 0.189554i | ||||
\(803\) | 19.9427 | + | 10.6269i | 0.703762 | + | 0.375016i | ||||
\(804\) | −0.0191757 | − | 0.0840142i | −0.000676275 | − | 0.00296295i | ||||
\(805\) | 3.51560 | − | 0.200031i | 0.123909 | − | 0.00705018i | ||||
\(806\) | 21.6116 | − | 10.4076i | 0.761237 | − | 0.366593i | ||||
\(807\) | −0.329506 | + | 0.142430i | −0.0115992 | + | 0.00501379i | ||||
\(808\) | −0.752916 | − | 0.254867i | −0.0264875 | − | 0.00896619i | ||||
\(809\) | 6.30550 | + | 3.69788i | 0.221689 | + | 0.130010i | 0.612528 | − | 0.790449i | \(-0.290153\pi\) |
−0.390839 | + | 0.920459i | \(0.627815\pi\) | |||||||
\(810\) | −0.390681 | + | 19.1484i | −0.0137271 | + | 0.672807i | ||||
\(811\) | −4.46855 | + | 31.0795i | −0.156912 | + | 1.09135i | 0.747368 | + | 0.664410i | \(0.231317\pi\) |
−0.904281 | + | 0.426938i | \(0.859592\pi\) | |||||||
\(812\) | −0.506726 | + | 0.783492i | −0.0177826 | + | 0.0274952i | ||||
\(813\) | −0.471439 | − | 0.302975i | −0.0165341 | − | 0.0106258i | ||||
\(814\) | 52.6933 | − | 43.8094i | 1.84690 | − | 1.53552i | ||||
\(815\) | 3.98127 | − | 2.79445i | 0.139458 | − | 0.0978851i | ||||
\(816\) | −0.0225100 | + | 0.121223i | −0.000788009 | + | 0.00424366i | ||||
\(817\) | 10.0233 | + | 36.9051i | 0.350671 | + | 1.29115i | ||||
\(818\) | 13.1578 | − | 2.16662i | 0.460052 | − | 0.0757541i | ||||
\(819\) | −1.56541 | − | 3.08785i | −0.0546998 | − | 0.107898i | ||||
\(820\) | −1.90644 | + | 5.27508i | −0.0665758 | + | 0.184214i | ||||
\(821\) | −16.5540 | − | 29.5947i | −0.577738 | − | 1.03286i | −0.992420 | − | 0.122894i | \(-0.960782\pi\) |
0.414682 | − | 0.909967i | \(-0.363893\pi\) | |||||||
\(822\) | 0.397365 | − | 0.233036i | 0.0138597 | − | 0.00812805i | ||||
\(823\) | −33.8971 | + | 7.01253i | −1.18158 | + | 0.244442i | −0.752355 | − | 0.658757i | \(-0.771082\pi\) |
−0.429222 | + | 0.903199i | \(0.641212\pi\) | |||||||
\(824\) | −4.27302 | − | 29.7195i | −0.148858 | − | 1.03533i | ||||
\(825\) | 0.159183 | + | 0.440455i | 0.00554203 | + | 0.0153347i | ||||
\(826\) | 1.06139 | − | 3.90796i | 0.0369305 | − | 0.135975i | ||||
\(827\) | 0.341368 | − | 0.164394i | 0.0118705 | − | 0.00571654i | −0.427939 | − | 0.903808i | \(-0.640760\pi\) |
0.439810 | + | 0.898091i | \(0.355046\pi\) | |||||||
\(828\) | −2.70880 | + | 5.03037i | −0.0941372 | + | 0.174818i | ||||
\(829\) | −3.93983 | −0.136836 | −0.0684180 | − | 0.997657i | \(-0.521795\pi\) | ||||
−0.0684180 | + | 0.997657i | \(0.521795\pi\) | |||||||
\(830\) | 1.78075 | + | 2.43008i | 0.0618109 | + | 0.0843495i | ||||
\(831\) | −0.587684 | − | 0.198935i | −0.0203865 | − | 0.00690098i | ||||
\(832\) | 21.9810 | − | 8.45486i | 0.762053 | − | 0.293120i | ||||
\(833\) | −5.44720 | + | 4.16509i | −0.188734 | + | 0.144312i | ||||
\(834\) | −0.441793 | − | 0.469693i | −0.0152980 | − | 0.0162641i | ||||
\(835\) | −22.5583 | + | 20.3672i | −0.780661 | + | 0.704835i | ||||
\(836\) | −6.89896 | − | 11.2323i | −0.238605 | − | 0.388479i | ||||
\(837\) | 1.67334 | − | 0.418016i | 0.0578390 | − | 0.0144487i | ||||
\(838\) | 16.2849 | − | 11.4303i | 0.562552 | − | 0.394854i | ||||
\(839\) | −1.80983 | − | 6.66365i | −0.0624821 | − | 0.230055i | 0.926919 | − | 0.375261i | \(-0.122447\pi\) |
−0.989401 | + | 0.145206i | \(0.953616\pi\) | |||||||
\(840\) | −0.0586319 | − | 0.0676648i | −0.00202299 | − | 0.00233466i | ||||
\(841\) | −12.1993 | + | 26.3092i | −0.420667 | + | 0.907215i | ||||
\(842\) | 1.69283 | − | 3.70678i | 0.0583388 | − | 0.127744i | ||||
\(843\) | 0.436273 | + | 0.710306i | 0.0150261 | + | 0.0244642i | ||||
\(844\) | −1.96442 | + | 4.81179i | −0.0676181 | + | 0.165629i | ||||
\(845\) | 8.69963 | − | 5.10192i | 0.299276 | − | 0.175511i | ||||
\(846\) | 0.726112 | − | 35.5889i | 0.0249643 | − | 1.22357i | ||||
\(847\) | 4.37302 | + | 6.50870i | 0.150259 | + | 0.223642i | ||||
\(848\) | 1.77250 | − | 17.3172i | 0.0608680 | − | 0.594676i | ||||
\(849\) | −0.437284 | − | 0.233017i | −0.0150075 | − | 0.00799712i | ||||
\(850\) | −0.614193 | − | 2.69096i | −0.0210667 | − | 0.0922990i | ||||
\(851\) | 46.5905 | − | 12.4358i | 1.59710 | − | 0.426294i | ||||
\(852\) | 0.0246693 | − | 0.108083i | 0.000845156 | − | 0.00370287i | ||||
\(853\) | −4.60021 | + | 5.30892i | −0.157508 | + | 0.181774i | −0.829019 | − | 0.559221i | \(-0.811100\pi\) |
0.671511 | + | 0.740995i | \(0.265646\pi\) | |||||||
\(854\) | −0.885476 | − | 2.45009i | −0.0303004 | − | 0.0838404i | ||||
\(855\) | −17.3508 | − | 25.8245i | −0.593385 | − | 0.883180i | ||||
\(856\) | −24.8763 | − | 20.6822i | −0.850253 | − | 0.706903i | ||||
\(857\) | −27.4073 | − | 10.5421i | −0.936215 | − | 0.360110i | −0.157523 | − | 0.987515i | \(-0.550351\pi\) |
−0.778693 | + | 0.627405i | \(0.784117\pi\) | |||||||
\(858\) | 0.695627 | − | 0.204255i | 0.0237483 | − | 0.00697314i | ||||
\(859\) | −29.2718 | + | 28.6807i | −0.998741 | + | 0.978571i | −0.999770 | − | 0.0214281i | \(-0.993179\pi\) |
0.00102977 | + | 0.999999i | \(0.499672\pi\) | |||||||
\(860\) | −4.02727 | + | 1.00605i | −0.137329 | + | 0.0343061i | ||||
\(861\) | −0.00898555 | + | 0.146640i | −0.000306227 | + | 0.00499747i | ||||
\(862\) | −5.56289 | + | 7.59134i | −0.189473 | + | 0.258562i | ||||
\(863\) | 39.6825 | − | 1.61994i | 1.35081 | − | 0.0551435i | 0.645346 | − | 0.763891i | \(-0.276713\pi\) |
0.705463 | + | 0.708747i | \(0.250739\pi\) | |||||||
\(864\) | 0.525984 | − | 0.0866108i | 0.0178944 | − | 0.00294656i | ||||
\(865\) | 3.94096 | − | 3.27653i | 0.133997 | − | 0.111405i | ||||
\(866\) | 4.13872 | + | 40.4349i | 0.140639 | + | 1.37403i | ||||
\(867\) | 0.242769 | − | 0.594655i | 0.00824486 | − | 0.0201956i | ||||
\(868\) | 0.691522 | − | 1.02924i | 0.0234718 | − | 0.0349348i | ||||
\(869\) | −22.3132 | − | 48.8591i | −0.756923 | − | 1.65743i | ||||
\(870\) | −0.347669 | − | 0.303021i | −0.0117871 | − | 0.0102734i | ||||
\(871\) | 12.0234 | − | 7.72699i | 0.407399 | − | 0.261819i | ||||
\(872\) | 37.8915 | − | 16.3788i | 1.28317 | − | 0.554655i | ||||
\(873\) | −2.49247 | + | 3.12546i | −0.0843575 | + | 0.105781i | ||||
\(874\) | 4.40634 | + | 37.1567i | 0.149047 | + | 1.25684i | ||||
\(875\) | 4.74000 | + | 2.28266i | 0.160241 | + | 0.0771681i | ||||
\(876\) | 0.0175634 | − | 0.0646673i | 0.000593413 | − | 0.00218490i | ||||
\(877\) | 4.47366 | − | 43.7073i | 0.151065 | − | 1.47589i | −0.591602 | − | 0.806230i | \(-0.701504\pi\) |
0.742667 | − | 0.669661i | \(-0.233561\pi\) | |||||||
\(878\) | −29.8041 | + | 11.4640i | −1.00584 | + | 0.386890i | ||||
\(879\) | −0.792625 | + | 0.606064i | −0.0267346 | + | 0.0204420i | ||||
\(880\) | −23.8271 | + | 13.9734i | −0.803210 | + | 0.471045i | ||||
\(881\) | −1.16021 | − | 18.9340i | −0.0390884 | − | 0.637904i | −0.965340 | − | 0.260997i | \(-0.915949\pi\) |
0.926251 | − | 0.376907i | \(-0.123012\pi\) | |||||||
\(882\) | −21.7457 | − | 13.9751i | −0.732217 | − | 0.470567i | ||||
\(883\) | 26.8737 | + | 20.5484i | 0.904373 | + | 0.691510i | 0.951589 | − | 0.307375i | \(-0.0994505\pi\) |
−0.0472160 | + | 0.998885i | \(0.515035\pi\) | |||||||
\(884\) | 1.04518 | − | 0.172104i | 0.0351533 | − | 0.00578849i | ||||
\(885\) | −0.455472 | − | 0.196880i | −0.0153105 | − | 0.00661804i | ||||
\(886\) | −4.48113 | + | 2.38787i | −0.150547 | + | 0.0802222i | ||||
\(887\) | −33.7245 | − | 9.90241i | −1.13236 | − | 0.332490i | −0.338724 | − | 0.940886i | \(-0.609995\pi\) |
−0.793634 | + | 0.608395i | \(0.791814\pi\) | |||||||
\(888\) | −0.973995 | − | 0.744745i | −0.0326851 | − | 0.0249920i | ||||
\(889\) | −0.245964 | − | 2.40305i | −0.00824936 | − | 0.0805956i | ||||
\(890\) | 15.8685 | + | 28.3692i | 0.531914 | + | 0.950938i | ||||
\(891\) | −48.2113 | + | 3.94279i | −1.61514 | + | 0.132088i | ||||
\(892\) | 0.822212 | + | 0.205397i | 0.0275297 | + | 0.00687719i | ||||
\(893\) | 32.2305 | + | 47.9711i | 1.07855 | + | 1.60529i | ||||
\(894\) | 0.608510 | − | 0.0748556i | 0.0203516 | − | 0.00250355i | ||||
\(895\) | −15.7726 | − | 0.643879i | −0.527221 | − | 0.0215225i | ||||
\(896\) | −1.85906 | + | 2.33119i | −0.0621068 | + | 0.0778794i | ||||
\(897\) | 0.504661 | + | 0.0748080i | 0.0168501 | + | 0.00249777i | ||||
\(898\) | −40.7014 | −1.35822 | ||||||||
\(899\) | 16.8215 | − | 34.6736i | 0.561030 | − | 1.15643i | ||||
\(900\) | −2.16999 | + | 1.39457i | −0.0723330 | + | 0.0464856i | ||||
\(901\) | 1.73270 | − | 5.48460i | 0.0577247 | − | 0.182718i | ||||
\(902\) | 55.4400 | + | 13.8494i | 1.84595 | + | 0.461136i | ||||
\(903\) | −0.0937882 | + | 0.0550023i | −0.00312108 | + | 0.00183036i | ||||
\(904\) | 10.3011 | + | 1.69623i | 0.342611 | + | 0.0564157i | ||||
\(905\) | −29.2981 | − | 3.60410i | −0.973902 | − | 0.119804i | ||||
\(906\) | −0.309027 | − | 0.609571i | −0.0102667 | − | 0.0202516i | ||||
\(907\) | 1.48173 | − | 24.1811i | 0.0492001 | − | 0.802921i | −0.889232 | − | 0.457457i | \(-0.848760\pi\) |
0.938432 | − | 0.345464i | \(-0.112279\pi\) | |||||||
\(908\) | −3.00316 | + | 4.09822i | −0.0996633 | + | 0.136004i | ||||
\(909\) | 0.143374 | − | 0.772112i | 0.00475542 | − | 0.0256093i | ||||
\(910\) | 1.20142 | − | 2.14786i | 0.0398268 | − | 0.0712010i | ||||
\(911\) | 13.0095 | − | 28.4868i | 0.431024 | − | 0.943811i | −0.562135 | − | 0.827045i | \(-0.690020\pi\) |
0.993159 | − | 0.116766i | \(-0.0372528\pi\) | |||||||
\(912\) | 0.539006 | − | 0.528121i | 0.0178483 | − | 0.0174878i | ||||
\(913\) | −5.64769 | + | 5.09913i | −0.186911 | + | 0.168757i | ||||
\(914\) | 10.0748 | + | 31.8903i | 0.333246 | + | 1.05484i | ||||
\(915\) | −0.312603 | + | 0.0646704i | −0.0103343 | + | 0.00213794i | ||||
\(916\) | −1.60658 | − | 11.1740i | −0.0530827 | − | 0.369199i | ||||
\(917\) | −0.944193 | − | 2.61256i | −0.0311800 | − | 0.0862743i | ||||
\(918\) | −0.306973 | − | 0.0125314i | −0.0101316 | − | 0.000413598i | ||||
\(919\) | −12.9590 | − | 56.7769i | −0.427476 | − | 1.87290i | −0.484938 | − | 0.874548i | \(-0.661158\pi\) |
0.0574619 | − | 0.998348i | \(-0.481699\pi\) | |||||||
\(920\) | −24.3893 | + | 2.38888i | −0.804090 | + | 0.0787591i | ||||
\(921\) | 0.307095 | − | 0.385085i | 0.0101191 | − | 0.0126890i | ||||
\(922\) | 4.88688 | − | 17.9931i | 0.160941 | − | 0.592573i | ||||
\(923\) | 18.2493 | − | 2.24493i | 0.600683 | − | 0.0738928i | ||||
\(924\) | 0.0256774 | − | 0.0272990i | 0.000844726 | − | 0.000898072i | ||||
\(925\) | 21.1221 | + | 5.27651i | 0.694491 | + | 0.173490i | ||||
\(926\) | 1.21253 | − | 1.80470i | 0.0398462 | − | 0.0593061i | ||||
\(927\) | 28.4619 | − | 8.35718i | 0.934813 | − | 0.274486i | ||||
\(928\) | 6.05519 | − | 10.2571i | 0.198771 | − | 0.336704i | ||||
\(929\) | −19.7306 | + | 43.2041i | −0.647341 | + | 1.41748i | 0.246520 | + | 0.969138i | \(0.420713\pi\) |
−0.893862 | + | 0.448342i | \(0.852015\pi\) | |||||||
\(930\) | 0.454901 | + | 0.410717i | 0.0149168 | + | 0.0134679i | ||||
\(931\) | 41.9330 | − | 1.71181i | 1.37430 | − | 0.0561024i | ||||
\(932\) | −0.0211735 | + | 0.114026i | −0.000693561 | + | 0.00373503i | ||||
\(933\) | −0.0927198 | − | 0.0837139i | −0.00303551 | − | 0.00274067i | ||||
\(934\) | 0.290495 | + | 14.2380i | 0.00950530 | + | 0.465883i | ||||
\(935\) | −8.64496 | + | 2.92638i | −0.282720 | + | 0.0957027i | ||||
\(936\) | 11.7617 | + | 21.0272i | 0.384444 | + | 0.687296i | ||||
\(937\) | 42.6551 | − | 3.48839i | 1.39348 | − | 0.113961i | 0.638457 | − | 0.769658i | \(-0.279573\pi\) |
0.755024 | + | 0.655697i | \(0.227625\pi\) | |||||||
\(938\) | −1.34757 | + | 2.65814i | −0.0439996 | + | 0.0867914i | ||||
\(939\) | −1.22062 | − | 0.0998237i | −0.0398333 | − | 0.00325762i | ||||
\(940\) | −5.27737 | + | 3.39156i | −0.172129 | + | 0.110621i | ||||
\(941\) | 10.1956 | + | 13.9134i | 0.332368 | + | 0.453563i | 0.940260 | − | 0.340457i | \(-0.110582\pi\) |
−0.607892 | + | 0.794020i | \(0.707984\pi\) | |||||||
\(942\) | 0.626315 | − | 0.301617i | 0.0204064 | − | 0.00982722i | ||||
\(943\) | 31.3291 | + | 25.2085i | 1.02022 | + | 0.820902i | ||||
\(944\) | −4.97413 | + | 21.7931i | −0.161894 | + | 0.709304i | ||||
\(945\) | 0.115883 | − | 0.133736i | 0.00376967 | − | 0.00435043i | ||||
\(946\) | 14.3739 | + | 39.7723i | 0.467337 | + | 1.29311i | ||||
\(947\) | 22.9599 | − | 24.4098i | 0.746096 | − | 0.793213i | −0.237922 | − | 0.971284i | \(-0.576466\pi\) |
0.984018 | + | 0.178071i | \(0.0569857\pi\) | |||||||
\(948\) | −0.126530 | + | 0.0967483i | −0.00410949 | + | 0.00314224i | ||||
\(949\) | 11.0768 | − | 0.905874i | 0.359567 | − | 0.0294059i | ||||
\(950\) | −6.38505 | + | 15.6400i | −0.207158 | + | 0.507429i | ||||
\(951\) | 0.865976 | + | 0.106528i | 0.0280812 | + | 0.00345440i | ||||
\(952\) | −1.02478 | + | 0.852010i | −0.0332135 | + | 0.0276138i | ||||
\(953\) | −0.281737 | − | 0.690107i | −0.00912635 | − | 0.0223547i | 0.921189 | − | 0.389117i | \(-0.127220\pi\) |
−0.930315 | + | 0.366762i | \(0.880466\pi\) | |||||||
\(954\) | 21.6644 | − | 0.884396i | 0.701411 | − | 0.0286334i | ||||
\(955\) | 7.75617 | + | 28.5577i | 0.250984 | + | 0.924105i | ||||
\(956\) | 2.92946 | + | 0.860167i | 0.0947455 | + | 0.0278198i | ||||
\(957\) | 0.671937 | − | 0.951455i | 0.0217206 | − | 0.0307562i | ||||
\(958\) | 5.69058 | + | 3.65711i | 0.183854 | + | 0.118156i | ||||
\(959\) | 3.89696 | + | 0.641689i | 0.125839 | + | 0.0207212i | ||||
\(960\) | 0.412276 | + | 0.438312i | 0.0133061 | + | 0.0141464i | ||||
\(961\) | −9.14043 | + | 18.0299i | −0.294853 | + | 0.581611i | ||||
\(962\) | 10.1527 | − | 32.1367i | 0.327335 | − | 1.03613i | ||||
\(963\) | 16.7275 | − | 27.2345i | 0.539037 | − | 0.877618i | ||||
\(964\) | −0.914507 | − | 4.92490i | −0.0294543 | − | 0.158620i | ||||
\(965\) | 9.87880 | + | 43.2818i | 0.318010 | + | 1.39329i | ||||
\(966\) | −0.0986641 | + | 0.0397784i | −0.00317447 | + | 0.00127985i | ||||
\(967\) | 12.6180 | + | 15.8225i | 0.405768 | + | 0.508817i | 0.942165 | − | 0.335149i | \(-0.108787\pi\) |
−0.536397 | + | 0.843966i | \(0.680215\pi\) | |||||||
\(968\) | −32.2557 | − | 44.0174i | −1.03674 | − | 1.41477i | ||||
\(969\) | 0.209755 | − | 0.134801i | 0.00673830 | − | 0.00433044i | ||||
\(970\) | −2.83236 | − | 0.231634i | −0.0909416 | − | 0.00743733i | ||||
\(971\) | −31.5378 | − | 26.2206i | −1.01210 | − | 0.841461i | −0.0246948 | − | 0.999695i | \(-0.507861\pi\) |
−0.987402 | + | 0.158234i | \(0.949420\pi\) | |||||||
\(972\) | 0.129751 | + | 0.410705i | 0.00416176 | + | 0.0131734i | ||||
\(973\) | −0.338124 | − | 5.51801i | −0.0108398 | − | 0.176899i | ||||
\(974\) | 36.6715 | + | 23.5673i | 1.17503 | + | 0.755145i | ||||
\(975\) | 0.182975 | + | 0.139908i | 0.00585990 | + | 0.00448065i | ||||
\(976\) | 5.43543 | + | 13.3139i | 0.173984 | + | 0.426169i | ||||
\(977\) | −30.9791 | + | 42.2752i | −0.991108 | + | 1.35250i | −0.0558888 | + | 0.998437i | \(0.517799\pi\) |
−0.935220 | + | 0.354068i | \(0.884798\pi\) | |||||||
\(978\) | −0.0868584 | + | 0.118530i | −0.00277743 | + | 0.00379018i | ||||
\(979\) | −67.1974 | + | 47.1657i | −2.14764 | + | 1.50742i | ||||
\(980\) | 0.0929249 | + | 4.55452i | 0.00296838 | + | 0.145489i | ||||
\(981\) | 21.3444 | + | 34.7513i | 0.681474 | + | 1.10952i | ||||
\(982\) | −37.4903 | − | 26.3143i | −1.19636 | − | 0.839724i | ||||
\(983\) | 30.5818 | + | 32.5131i | 0.975407 | + | 1.03701i | 0.999304 | + | 0.0372916i | \(0.0118731\pi\) |
−0.0238973 | + | 0.999714i | \(0.507607\pi\) | |||||||
\(984\) | 0.0208562 | − | 1.02222i | 0.000664871 | − | 0.0325873i | ||||
\(985\) | −5.79207 | − | 40.2847i | −0.184551 | − | 1.28358i | ||||
\(986\) | −4.61509 | + | 5.08197i | −0.146975 | + | 0.161843i | ||||
\(987\) | −0.107602 | + | 0.124179i | −0.00342500 | + | 0.00395266i | ||||
\(988\) | −5.84101 | − | 2.81288i | −0.185827 | − | 0.0894897i | ||||
\(989\) | −2.55505 | + | 29.6494i | −0.0812457 | + | 0.942797i | ||||
\(990\) | −21.4514 | − | 26.8991i | −0.681769 | − | 0.854911i | ||||
\(991\) | 52.9364 | − | 22.8820i | 1.68158 | − | 0.726870i | 0.681591 | − | 0.731733i | \(-0.261288\pi\) |
0.999988 | + | 0.00486359i | \(0.00154814\pi\) | |||||||
\(992\) | −8.28426 | + | 13.4878i | −0.263026 | + | 0.428238i | ||||
\(993\) | 0.774524 | + | 0.454222i | 0.0245788 | + | 0.0144143i | ||||
\(994\) | −3.04568 | + | 2.32882i | −0.0966032 | + | 0.0738657i | ||||
\(995\) | 43.2053 | − | 3.53339i | 1.36970 | − | 0.112016i | ||||
\(996\) | 0.0184684 | + | 0.0129630i | 0.000585195 | + | 0.000410747i | ||||
\(997\) | −6.03902 | + | 5.91707i | −0.191258 | + | 0.187395i | −0.789186 | − | 0.614154i | \(-0.789497\pi\) |
0.597928 | + | 0.801550i | \(0.295991\pi\) | |||||||
\(998\) | −5.45764 | + | 11.9506i | −0.172759 | + | 0.378289i | ||||
\(999\) | 1.18300 | − | 2.11493i | 0.0374286 | − | 0.0669136i |
(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 | 667.2.s.a.16.20 | ✓ | 3480 | |
23.13 | even | 11 | inner | 667.2.s.a.335.20 | yes | 3480 | |
29.20 | even | 7 | inner | 667.2.s.a.223.20 | yes | 3480 | |
667.542 | even | 77 | inner | 667.2.s.a.542.20 | yes | 3480 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
667.2.s.a.16.20 | ✓ | 3480 | 1.1 | even | 1 | trivial | |
667.2.s.a.223.20 | yes | 3480 | 29.20 | even | 7 | inner | |
667.2.s.a.335.20 | yes | 3480 | 23.13 | even | 11 | inner | |
667.2.s.a.542.20 | yes | 3480 | 667.542 | even | 77 | inner |