Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [252,2,Mod(31,252)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(252, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 2, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("252.31");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 252 = 2^{2} \cdot 3^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 252.n (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.01223013094\) |
Analytic rank: | \(0\) |
Dimension: | \(84\) |
Relative dimension: | \(42\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 187.4 | ||
Character | \(\chi\) | \(=\) | 252.187 |
Dual form | 252.2.n.b.31.4 |
$q$-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 \(\left(\mathbb{Z}/252\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(73\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{5}{6}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.38558 | − | 0.283143i | −0.979753 | − | 0.200212i | ||||
\(3\) | 0.385748 | − | 1.68855i | 0.222712 | − | 0.974884i | ||||
\(4\) | 1.83966 | + | 0.784633i | 0.919830 | + | 0.392317i | ||||
\(5\) | − | 3.94623i | − | 1.76481i | −0.470494 | − | 0.882403i | \(-0.655924\pi\) | ||
0.470494 | − | 0.882403i | \(-0.344076\pi\) | |||||||
\(6\) | −1.01258 | + | 2.23040i | −0.413386 | + | 0.910556i | ||||
\(7\) | 2.37341 | − | 1.16916i | 0.897064 | − | 0.441900i | ||||
\(8\) | −2.32683 | − | 1.60806i | −0.822660 | − | 0.568534i | ||||
\(9\) | −2.70240 | − | 1.30271i | −0.900799 | − | 0.434236i | ||||
\(10\) | −1.11734 | + | 5.46781i | −0.353335 | + | 1.72907i | ||||
\(11\) | 4.89244i | 1.47513i | 0.675278 | + | 0.737563i | \(0.264024\pi\) | ||||
−0.675278 | + | 0.737563i | \(0.735976\pi\) | |||||||
\(12\) | 2.03454 | − | 2.80369i | 0.587320 | − | 0.809355i | ||||
\(13\) | 1.13829 | − | 0.657191i | 0.315704 | − | 0.182272i | −0.333772 | − | 0.942654i | \(-0.608322\pi\) |
0.649476 | + | 0.760382i | \(0.274988\pi\) | |||||||
\(14\) | −3.61959 | + | 0.947947i | −0.967375 | + | 0.253349i | ||||
\(15\) | −6.66340 | − | 1.52225i | −1.72048 | − | 0.393043i | ||||
\(16\) | 2.76870 | + | 2.88692i | 0.692175 | + | 0.721729i | ||||
\(17\) | 1.67931 | − | 0.969547i | 0.407291 | − | 0.235150i | −0.282334 | − | 0.959316i | \(-0.591109\pi\) |
0.689625 | + | 0.724166i | \(0.257775\pi\) | |||||||
\(18\) | 3.37553 | + | 2.57017i | 0.795621 | + | 0.605795i | ||||
\(19\) | −1.49477 | + | 2.58902i | −0.342924 | + | 0.593962i | −0.984974 | − | 0.172701i | \(-0.944751\pi\) |
0.642050 | + | 0.766662i | \(0.278084\pi\) | |||||||
\(20\) | 3.09634 | − | 7.25972i | 0.692363 | − | 1.62332i | ||||
\(21\) | −1.05864 | − | 4.45862i | −0.231015 | − | 0.972950i | ||||
\(22\) | 1.38526 | − | 6.77887i | 0.295338 | − | 1.44526i | ||||
\(23\) | − | 3.37433i | − | 0.703597i | −0.936076 | − | 0.351798i | \(-0.885570\pi\) | ||
0.936076 | − | 0.351798i | \(-0.114430\pi\) | |||||||
\(24\) | −3.61286 | + | 3.30867i | −0.737471 | + | 0.675379i | ||||
\(25\) | −10.5727 | −2.11454 | ||||||||
\(26\) | −1.76327 | + | 0.588292i | −0.345805 | + | 0.115374i | ||||
\(27\) | −3.24213 | + | 4.06061i | −0.623949 | + | 0.781465i | ||||
\(28\) | 5.28363 | − | 0.288597i | 0.998512 | − | 0.0545397i | ||||
\(29\) | −1.32976 | + | 2.30322i | −0.246931 | + | 0.427697i | −0.962673 | − | 0.270668i | \(-0.912755\pi\) |
0.715742 | + | 0.698365i | \(0.246089\pi\) | |||||||
\(30\) | 8.80165 | + | 3.99589i | 1.60695 | + | 0.729546i | ||||
\(31\) | 0.443302 | − | 0.767822i | 0.0796195 | − | 0.137905i | −0.823466 | − | 0.567365i | \(-0.807963\pi\) |
0.903086 | + | 0.429460i | \(0.141296\pi\) | |||||||
\(32\) | −3.01885 | − | 4.78399i | −0.533662 | − | 0.845698i | ||||
\(33\) | 8.26113 | + | 1.88725i | 1.43808 | + | 0.328528i | ||||
\(34\) | −2.60133 | + | 0.867902i | −0.446125 | + | 0.148844i | ||||
\(35\) | −4.61376 | − | 9.36601i | −0.779868 | − | 1.58314i | ||||
\(36\) | −3.94934 | − | 4.51693i | −0.658224 | − | 0.752822i | ||||
\(37\) | 0.237205 | − | 0.410852i | 0.0389963 | − | 0.0675436i | −0.845869 | − | 0.533391i | \(-0.820917\pi\) |
0.884865 | + | 0.465848i | \(0.154251\pi\) | |||||||
\(38\) | 2.80419 | − | 3.16406i | 0.454899 | − | 0.513278i | ||||
\(39\) | −0.670607 | − | 2.17556i | −0.107383 | − | 0.348369i | ||||
\(40\) | −6.34576 | + | 9.18221i | −1.00335 | + | 1.45183i | ||||
\(41\) | 8.79016 | − | 5.07500i | 1.37279 | − | 0.792582i | 0.381514 | − | 0.924363i | \(-0.375403\pi\) |
0.991279 | + | 0.131781i | \(0.0420696\pi\) | |||||||
\(42\) | 0.204407 | + | 6.47752i | 0.0315408 | + | 0.999502i | ||||
\(43\) | −2.31047 | − | 1.33395i | −0.352344 | − | 0.203426i | 0.313373 | − | 0.949630i | \(-0.398541\pi\) |
−0.665717 | + | 0.746204i | \(0.731874\pi\) | |||||||
\(44\) | −3.83877 | + | 9.00043i | −0.578717 | + | 1.35687i | ||||
\(45\) | −5.14078 | + | 10.6643i | −0.766343 | + | 1.58974i | ||||
\(46\) | −0.955417 | + | 4.67540i | −0.140869 | + | 0.689351i | ||||
\(47\) | 1.23083 | + | 2.13186i | 0.179535 | + | 0.310963i | 0.941721 | − | 0.336394i | \(-0.109207\pi\) |
−0.762186 | + | 0.647358i | \(0.775874\pi\) | |||||||
\(48\) | 5.94272 | − | 3.56147i | 0.857758 | − | 0.514053i | ||||
\(49\) | 4.26614 | − | 5.54978i | 0.609449 | − | 0.792825i | ||||
\(50\) | 14.6493 | + | 2.99358i | 2.07173 | + | 0.423356i | ||||
\(51\) | −0.989340 | − | 3.20959i | −0.138535 | − | 0.449433i | ||||
\(52\) | 2.60972 | − | 0.315870i | 0.361903 | − | 0.0438032i | ||||
\(53\) | 6.34427 | + | 10.9886i | 0.871453 | + | 1.50940i | 0.860494 | + | 0.509460i | \(0.170155\pi\) |
0.0109585 | + | 0.999940i | \(0.496512\pi\) | |||||||
\(54\) | 5.64196 | − | 4.70832i | 0.767774 | − | 0.640721i | ||||
\(55\) | 19.3067 | 2.60331 | ||||||||
\(56\) | −7.40260 | − | 1.09615i | −0.989214 | − | 0.146479i | ||||
\(57\) | 3.79508 | + | 3.52270i | 0.502671 | + | 0.466594i | ||||
\(58\) | 2.49463 | − | 2.81478i | 0.327562 | − | 0.369599i | ||||
\(59\) | −3.49742 | + | 6.05771i | −0.455325 | + | 0.788646i | −0.998707 | − | 0.0508394i | \(-0.983810\pi\) |
0.543382 | + | 0.839486i | \(0.317144\pi\) | |||||||
\(60\) | −11.0640 | − | 8.02874i | −1.42835 | − | 1.03651i | ||||
\(61\) | 2.05369 | − | 1.18570i | 0.262948 | − | 0.151813i | −0.362731 | − | 0.931894i | \(-0.618156\pi\) |
0.625679 | + | 0.780081i | \(0.284822\pi\) | |||||||
\(62\) | −0.831634 | + | 0.938361i | −0.105618 | + | 0.119172i | ||||
\(63\) | −7.93697 | + | 0.0676656i | −0.999964 | + | 0.00852507i | ||||
\(64\) | 2.82830 | + | 7.48336i | 0.353538 | + | 0.935420i | ||||
\(65\) | −2.59342 | − | 4.49194i | −0.321675 | − | 0.557157i | ||||
\(66\) | −10.9121 | − | 4.95401i | −1.34319 | − | 0.609797i | ||||
\(67\) | 1.20793 | + | 0.697399i | 0.147572 | + | 0.0852008i | 0.571968 | − | 0.820276i | \(-0.306180\pi\) |
−0.424396 | + | 0.905477i | \(0.639513\pi\) | |||||||
\(68\) | 3.85009 | − | 0.465999i | 0.466892 | − | 0.0565107i | ||||
\(69\) | −5.69773 | − | 1.30164i | −0.685925 | − | 0.156699i | ||||
\(70\) | 3.74081 | + | 14.2837i | 0.447113 | + | 1.70723i | ||||
\(71\) | 2.15535i | 0.255793i | 0.991788 | + | 0.127896i | \(0.0408225\pi\) | ||||
−0.991788 | + | 0.127896i | \(0.959177\pi\) | |||||||
\(72\) | 4.19319 | + | 7.37680i | 0.494173 | + | 0.869364i | ||||
\(73\) | 3.96915 | − | 2.29159i | 0.464554 | − | 0.268210i | −0.249403 | − | 0.968400i | \(-0.580234\pi\) |
0.713957 | + | 0.700189i | \(0.246901\pi\) | |||||||
\(74\) | −0.444996 | + | 0.502105i | −0.0517298 | + | 0.0583685i | ||||
\(75\) | −4.07840 | + | 17.8525i | −0.470933 | + | 2.06143i | ||||
\(76\) | −4.78130 | + | 3.59007i | −0.548453 | + | 0.411809i | ||||
\(77\) | 5.72003 | + | 11.6118i | 0.651858 | + | 1.32328i | ||||
\(78\) | 0.313184 | + | 3.20430i | 0.0354611 | + | 0.362815i | ||||
\(79\) | 8.70741 | − | 5.02722i | 0.979660 | − | 0.565607i | 0.0774925 | − | 0.996993i | \(-0.475309\pi\) |
0.902167 | + | 0.431386i | \(0.141975\pi\) | |||||||
\(80\) | 11.3924 | − | 10.9259i | 1.27371 | − | 1.22156i | ||||
\(81\) | 5.60590 | + | 7.04087i | 0.622878 | + | 0.782319i | ||||
\(82\) | −13.6164 | + | 4.54295i | −1.50368 | + | 0.501685i | ||||
\(83\) | −1.29635 | + | 2.24535i | −0.142293 | + | 0.246459i | −0.928360 | − | 0.371683i | \(-0.878781\pi\) |
0.786067 | + | 0.618142i | \(0.212114\pi\) | |||||||
\(84\) | 1.55084 | − | 9.03299i | 0.169210 | − | 0.985580i | ||||
\(85\) | −3.82605 | − | 6.62692i | −0.414994 | − | 0.718790i | ||||
\(86\) | 2.82365 | + | 2.50249i | 0.304481 | + | 0.269850i | ||||
\(87\) | 3.37615 | + | 3.13384i | 0.361961 | + | 0.335982i | ||||
\(88\) | 7.86733 | − | 11.3839i | 0.838660 | − | 1.21353i | ||||
\(89\) | −11.6706 | − | 6.73801i | −1.23708 | − | 0.714227i | −0.268582 | − | 0.963257i | \(-0.586555\pi\) |
−0.968496 | + | 0.249029i | \(0.919888\pi\) | |||||||
\(90\) | 10.1425 | − | 13.3206i | 1.06911 | − | 1.40412i | ||||
\(91\) | 1.93326 | − | 2.89062i | 0.202661 | − | 0.303019i | ||||
\(92\) | 2.64761 | − | 6.20762i | 0.276033 | − | 0.647190i | ||||
\(93\) | −1.12550 | − | 1.04472i | −0.116709 | − | 0.108333i | ||||
\(94\) | −1.10179 | − | 3.30236i | −0.113641 | − | 0.340612i | ||||
\(95\) | 10.2169 | + | 5.89870i | 1.04823 | + | 0.605194i | ||||
\(96\) | −9.24252 | + | 3.25206i | −0.943310 | + | 0.331912i | ||||
\(97\) | 1.88401 | + | 1.08773i | 0.191292 | + | 0.110442i | 0.592587 | − | 0.805506i | \(-0.298107\pi\) |
−0.401295 | + | 0.915949i | \(0.631440\pi\) | |||||||
\(98\) | −7.48246 | + | 6.48173i | −0.755842 | + | 0.654754i | ||||
\(99\) | 6.37343 | − | 13.2213i | 0.640553 | − | 1.32879i | ||||
\(100\) | −19.4502 | − | 8.29569i | −1.94502 | − | 0.829569i | ||||
\(101\) | 0.713750i | 0.0710208i | 0.999369 | + | 0.0355104i | \(0.0113057\pi\) | ||||
−0.999369 | + | 0.0355104i | \(0.988694\pi\) | |||||||
\(102\) | 0.462037 | + | 4.72727i | 0.0457485 | + | 0.468069i | ||||
\(103\) | −1.16468 | −0.114760 | −0.0573798 | − | 0.998352i | \(-0.518275\pi\) | ||||
−0.0573798 | + | 0.998352i | \(0.518275\pi\) | |||||||
\(104\) | −3.70541 | − | 0.301260i | −0.363345 | − | 0.0295409i | ||||
\(105\) | −17.5947 | + | 4.17764i | −1.71707 | + | 0.407696i | ||||
\(106\) | −5.67915 | − | 17.0219i | −0.551608 | − | 1.65331i | ||||
\(107\) | 10.5529 | + | 6.09270i | 1.02018 | + | 0.589004i | 0.914157 | − | 0.405360i | \(-0.132854\pi\) |
0.106027 | + | 0.994363i | \(0.466187\pi\) | |||||||
\(108\) | −9.15051 | + | 4.92626i | −0.880509 | + | 0.474030i | ||||
\(109\) | −4.74875 | − | 8.22508i | −0.454848 | − | 0.787820i | 0.543832 | − | 0.839194i | \(-0.316973\pi\) |
−0.998679 | + | 0.0513747i | \(0.983640\pi\) | |||||||
\(110\) | −26.7509 | − | 5.46654i | −2.55060 | − | 0.521214i | ||||
\(111\) | −0.602242 | − | 0.559018i | −0.0571622 | − | 0.0530596i | ||||
\(112\) | 9.94652 | + | 3.61479i | 0.939858 | + | 0.341565i | ||||
\(113\) | −6.24802 | − | 10.8219i | −0.587764 | − | 1.01804i | −0.994525 | − | 0.104502i | \(-0.966675\pi\) |
0.406761 | − | 0.913535i | \(-0.366658\pi\) | |||||||
\(114\) | −4.26096 | − | 5.95554i | −0.399075 | − | 0.557787i | ||||
\(115\) | −13.3159 | −1.24171 | ||||||||
\(116\) | −4.25350 | + | 3.19377i | −0.394927 | + | 0.296534i | ||||
\(117\) | −3.93223 | + | 0.293133i | −0.363535 | + | 0.0271001i | ||||
\(118\) | 6.56115 | − | 7.40317i | 0.604003 | − | 0.681517i | ||||
\(119\) | 2.85213 | − | 4.26450i | 0.261454 | − | 0.390927i | ||||
\(120\) | 13.0567 | + | 14.2571i | 1.19191 | + | 1.30149i | ||||
\(121\) | −12.9360 | −1.17600 | ||||||||
\(122\) | −3.18127 | + | 1.06139i | −0.288019 | + | 0.0960939i | ||||
\(123\) | −5.17860 | − | 16.8003i | −0.466939 | − | 1.51483i | ||||
\(124\) | 1.41798 | − | 1.06470i | 0.127339 | − | 0.0956131i | ||||
\(125\) | 21.9911i | 1.96695i | ||||||||
\(126\) | 11.0165 | + | 2.15354i | 0.981424 | + | 0.191852i | ||||
\(127\) | − | 6.01418i | − | 0.533672i | −0.963742 | − | 0.266836i | \(-0.914022\pi\) | ||
0.963742 | − | 0.266836i | \(-0.0859782\pi\) | |||||||
\(128\) | −1.79998 | − | 11.1696i | −0.159097 | − | 0.987263i | ||||
\(129\) | −3.14370 | + | 3.38678i | −0.276788 | + | 0.298189i | ||||
\(130\) | 2.32153 | + | 6.95825i | 0.203612 | + | 0.610279i | ||||
\(131\) | 1.99858 | 0.174617 | 0.0873085 | − | 0.996181i | \(-0.472173\pi\) | ||||
0.0873085 | + | 0.996181i | \(0.472173\pi\) | |||||||
\(132\) | 13.7169 | + | 9.95385i | 1.19390 | + | 0.866372i | ||||
\(133\) | −0.520732 | + | 7.89243i | −0.0451532 | + | 0.684360i | ||||
\(134\) | −1.47622 | − | 1.30832i | −0.127526 | − | 0.113021i | ||||
\(135\) | 16.0241 | + | 12.7942i | 1.37913 | + | 1.10115i | ||||
\(136\) | −5.46655 | − | 0.444445i | −0.468753 | − | 0.0381109i | ||||
\(137\) | 10.0616 | 0.859622 | 0.429811 | − | 0.902919i | \(-0.358580\pi\) | ||||
0.429811 | + | 0.902919i | \(0.358580\pi\) | |||||||
\(138\) | 7.52610 | + | 3.41680i | 0.640664 | + | 0.290857i | ||||
\(139\) | −8.02010 | − | 13.8912i | −0.680256 | − | 1.17824i | −0.974903 | − | 0.222631i | \(-0.928535\pi\) |
0.294647 | − | 0.955606i | \(-0.404798\pi\) | |||||||
\(140\) | −1.13887 | − | 20.8504i | −0.0962520 | − | 1.76218i | ||||
\(141\) | 4.07454 | − | 1.25596i | 0.343138 | − | 0.105771i | ||||
\(142\) | 0.610271 | − | 2.98641i | 0.0512128 | − | 0.250614i | ||||
\(143\) | 3.21527 | + | 5.56901i | 0.268874 | + | 0.465704i | ||||
\(144\) | −3.72132 | − | 11.4084i | −0.310110 | − | 0.950701i | ||||
\(145\) | 9.08903 | + | 5.24755i | 0.754803 | + | 0.435785i | ||||
\(146\) | −6.14842 | + | 2.05135i | −0.508847 | + | 0.169771i | ||||
\(147\) | −7.72542 | − | 9.34441i | −0.637182 | − | 0.770714i | ||||
\(148\) | 0.758745 | − | 0.569708i | 0.0623684 | − | 0.0468297i | ||||
\(149\) | 9.69055 | 0.793881 | 0.396940 | − | 0.917844i | \(-0.370072\pi\) | ||||
0.396940 | + | 0.917844i | \(0.370072\pi\) | |||||||
\(150\) | 10.7058 | − | 23.5813i | 0.874121 | − | 1.92541i | ||||
\(151\) | 16.5476i | 1.34663i | 0.739357 | + | 0.673314i | \(0.235130\pi\) | ||||
−0.739357 | + | 0.673314i | \(0.764870\pi\) | |||||||
\(152\) | 7.64138 | − | 3.62054i | 0.619797 | − | 0.293664i | ||||
\(153\) | −5.80119 | + | 0.432456i | −0.468998 | + | 0.0349620i | ||||
\(154\) | −4.63777 | − | 17.7086i | −0.373723 | − | 1.42700i | ||||
\(155\) | −3.03000 | − | 1.74937i | −0.243375 | − | 0.140513i | ||||
\(156\) | 0.473332 | − | 4.52848i | 0.0378969 | − | 0.362569i | ||||
\(157\) | 11.3438 | + | 6.54936i | 0.905335 | + | 0.522696i | 0.878927 | − | 0.476956i | \(-0.158260\pi\) |
0.0264079 | + | 0.999651i | \(0.491593\pi\) | |||||||
\(158\) | −13.4882 | + | 4.50018i | −1.07307 | + | 0.358015i | ||||
\(159\) | 21.0021 | − | 6.47378i | 1.66557 | − | 0.513404i | ||||
\(160\) | −18.8787 | + | 11.9131i | −1.49249 | + | 0.941809i | ||||
\(161\) | −3.94512 | − | 8.00867i | −0.310919 | − | 0.631172i | ||||
\(162\) | −5.77385 | − | 11.3430i | −0.453636 | − | 0.891187i | ||||
\(163\) | −6.95666 | − | 4.01643i | −0.544888 | − | 0.314591i | 0.202170 | − | 0.979350i | \(-0.435201\pi\) |
−0.747057 | + | 0.664759i | \(0.768534\pi\) | |||||||
\(164\) | 20.1529 | − | 2.43923i | 1.57368 | − | 0.190472i | ||||
\(165\) | 7.44751 | − | 32.6003i | 0.579788 | − | 2.53793i | ||||
\(166\) | 2.43195 | − | 2.74405i | 0.188756 | − | 0.212980i | ||||
\(167\) | 4.83680 | + | 8.37758i | 0.374283 | + | 0.648277i | 0.990219 | − | 0.139519i | \(-0.0445556\pi\) |
−0.615937 | + | 0.787796i | \(0.711222\pi\) | |||||||
\(168\) | −4.70643 | + | 12.0768i | −0.363109 | + | 0.931747i | ||||
\(169\) | −5.63620 | + | 9.76219i | −0.433554 | + | 0.750937i | ||||
\(170\) | 3.42494 | + | 10.2654i | 0.262681 | + | 0.787323i | ||||
\(171\) | 7.41220 | − | 5.04931i | 0.566825 | − | 0.386130i | ||||
\(172\) | −3.20382 | − | 4.26689i | −0.244289 | − | 0.325348i | ||||
\(173\) | 14.1923 | − | 8.19394i | 1.07902 | − | 0.622974i | 0.148390 | − | 0.988929i | \(-0.452591\pi\) |
0.930633 | + | 0.365955i | \(0.119258\pi\) | |||||||
\(174\) | −3.79060 | − | 5.29811i | −0.287364 | − | 0.401649i | ||||
\(175\) | −25.0933 | + | 12.3611i | −1.89688 | + | 0.934415i | ||||
\(176\) | −14.1241 | + | 13.5457i | −1.06464 | + | 1.02105i | ||||
\(177\) | 8.87962 | + | 8.24231i | 0.667433 | + | 0.619530i | ||||
\(178\) | 14.2627 | + | 12.6405i | 1.06903 | + | 0.947444i | ||||
\(179\) | −16.0572 | + | 9.27065i | −1.20017 | + | 0.692921i | −0.960594 | − | 0.277955i | \(-0.910343\pi\) |
−0.239581 | + | 0.970876i | \(0.577010\pi\) | |||||||
\(180\) | −17.8248 | + | 15.5850i | −1.32858 | + | 1.16164i | ||||
\(181\) | 23.0045i | 1.70991i | 0.518700 | + | 0.854956i | \(0.326416\pi\) | ||||
−0.518700 | + | 0.854956i | \(0.673584\pi\) | |||||||
\(182\) | −3.49715 | + | 3.45779i | −0.259226 | + | 0.256309i | ||||
\(183\) | −1.20990 | − | 3.92514i | −0.0894386 | − | 0.290154i | ||||
\(184\) | −5.42612 | + | 7.85151i | −0.400019 | + | 0.578821i | ||||
\(185\) | −1.62131 | − | 0.936066i | −0.119201 | − | 0.0688209i | ||||
\(186\) | 1.26367 | + | 1.76623i | 0.0926566 | + | 0.129506i | ||||
\(187\) | 4.74345 | + | 8.21590i | 0.346876 | + | 0.600806i | ||||
\(188\) | 0.591581 | + | 4.88764i | 0.0431455 | + | 0.356468i | ||||
\(189\) | −2.94741 | + | 13.4281i | −0.214393 | + | 0.976748i | ||||
\(190\) | −12.4861 | − | 11.0660i | −0.905836 | − | 0.802808i | ||||
\(191\) | −3.41570 | + | 1.97206i | −0.247152 | + | 0.142693i | −0.618459 | − | 0.785817i | \(-0.712243\pi\) |
0.371308 | + | 0.928510i | \(0.378910\pi\) | |||||||
\(192\) | 13.7270 | − | 1.88903i | 0.990664 | − | 0.136329i | ||||
\(193\) | −2.87501 | + | 4.97966i | −0.206947 | + | 0.358443i | −0.950751 | − | 0.309954i | \(-0.899686\pi\) |
0.743804 | + | 0.668398i | \(0.233020\pi\) | |||||||
\(194\) | −2.30246 | − | 2.04058i | −0.165307 | − | 0.146505i | ||||
\(195\) | −8.58527 | + | 2.64637i | −0.614804 | + | 0.189510i | ||||
\(196\) | 12.2028 | − | 6.86235i | 0.871628 | − | 0.490168i | ||||
\(197\) | −16.6012 | −1.18279 | −0.591393 | − | 0.806384i | \(-0.701422\pi\) | ||||
−0.591393 | + | 0.806384i | \(0.701422\pi\) | |||||||
\(198\) | −12.5744 | + | 16.5146i | −0.893624 | + | 1.17364i | ||||
\(199\) | −6.23391 | − | 10.7974i | −0.441910 | − | 0.765411i | 0.555921 | − | 0.831235i | \(-0.312366\pi\) |
−0.997831 | + | 0.0658244i | \(0.979032\pi\) | |||||||
\(200\) | 24.6009 | + | 17.0015i | 1.73955 | + | 1.20219i | ||||
\(201\) | 1.64355 | − | 1.77063i | 0.115927 | − | 0.124891i | ||||
\(202\) | 0.202093 | − | 0.988957i | 0.0142192 | − | 0.0695828i | ||||
\(203\) | −0.463249 | + | 7.02119i | −0.0325137 | + | 0.492791i | ||||
\(204\) | 0.698302 | − | 6.68083i | 0.0488909 | − | 0.467751i | ||||
\(205\) | −20.0271 | − | 34.6880i | −1.39875 | − | 2.42271i | ||||
\(206\) | 1.61376 | + | 0.329771i | 0.112436 | + | 0.0229763i | ||||
\(207\) | −4.39577 | + | 9.11878i | −0.305527 | + | 0.633799i | ||||
\(208\) | 5.04883 | + | 1.46658i | 0.350074 | + | 0.101689i | ||||
\(209\) | −12.6666 | − | 7.31308i | −0.876169 | − | 0.505856i | ||||
\(210\) | 25.5617 | − | 0.806638i | 1.76393 | − | 0.0556633i | ||||
\(211\) | 19.4166 | − | 11.2102i | 1.33669 | − | 0.771739i | 0.350376 | − | 0.936609i | \(-0.386054\pi\) |
0.986315 | + | 0.164870i | \(0.0527205\pi\) | |||||||
\(212\) | 3.04929 | + | 25.1932i | 0.209426 | + | 1.73028i | ||||
\(213\) | 3.63941 | + | 0.831422i | 0.249369 | + | 0.0569681i | ||||
\(214\) | −12.8967 | − | 11.4299i | −0.881603 | − | 0.781331i | ||||
\(215\) | −5.26408 | + | 9.11765i | −0.359007 | + | 0.621819i | ||||
\(216\) | 14.0736 | − | 4.23483i | 0.957587 | − | 0.288144i | ||||
\(217\) | 0.154433 | − | 2.34065i | 0.0104836 | − | 0.158893i | ||||
\(218\) | 4.25090 | + | 12.7411i | 0.287907 | + | 0.862934i | ||||
\(219\) | −2.33837 | − | 7.58608i | −0.158013 | − | 0.512620i | ||||
\(220\) | 35.5177 | + | 15.1487i | 2.39460 | + | 1.02132i | ||||
\(221\) | 1.27436 | − | 2.20725i | 0.0857224 | − | 0.148476i | ||||
\(222\) | 0.676172 | + | 0.945084i | 0.0453817 | + | 0.0634299i | ||||
\(223\) | −4.48502 | + | 7.76829i | −0.300339 | + | 0.520203i | −0.976213 | − | 0.216815i | \(-0.930433\pi\) |
0.675873 | + | 0.737018i | \(0.263767\pi\) | |||||||
\(224\) | −12.7582 | − | 7.82486i | −0.852443 | − | 0.522820i | ||||
\(225\) | 28.5716 | + | 13.7732i | 1.90478 | + | 0.918210i | ||||
\(226\) | 5.59299 | + | 16.7637i | 0.372040 | + | 1.11510i | ||||
\(227\) | −7.79377 | −0.517291 | −0.258645 | − | 0.965972i | \(-0.583276\pi\) | ||||
−0.258645 | + | 0.965972i | \(0.583276\pi\) | |||||||
\(228\) | 4.21763 | + | 9.45833i | 0.279320 | + | 0.626393i | ||||
\(229\) | − | 6.80092i | − | 0.449417i | −0.974426 | − | 0.224709i | \(-0.927857\pi\) | ||
0.974426 | − | 0.224709i | \(-0.0721430\pi\) | |||||||
\(230\) | 18.4502 | + | 3.77029i | 1.21657 | + | 0.248606i | ||||
\(231\) | 21.8135 | − | 5.17934i | 1.43522 | − | 0.340776i | ||||
\(232\) | 6.79785 | − | 3.22087i | 0.446301 | − | 0.211460i | ||||
\(233\) | 8.45700 | − | 14.6480i | 0.554037 | − | 0.959619i | −0.443941 | − | 0.896056i | \(-0.646420\pi\) |
0.997978 | − | 0.0635635i | \(-0.0202466\pi\) | |||||||
\(234\) | 5.53142 | + | 0.707224i | 0.361600 | + | 0.0462327i | ||||
\(235\) | 8.41279 | − | 4.85713i | 0.548790 | − | 0.316844i | ||||
\(236\) | −11.1871 | + | 8.39994i | −0.728221 | + | 0.546789i | ||||
\(237\) | −5.12985 | − | 16.6421i | −0.333220 | − | 1.08102i | ||||
\(238\) | −5.15931 | + | 5.10125i | −0.334428 | + | 0.330665i | ||||
\(239\) | −16.8495 | + | 9.72804i | −1.08990 | + | 0.629254i | −0.933550 | − | 0.358447i | \(-0.883306\pi\) |
−0.156351 | + | 0.987702i | \(0.549973\pi\) | |||||||
\(240\) | −14.0544 | − | 23.4513i | −0.907205 | − | 1.51378i | ||||
\(241\) | 23.5574i | 1.51747i | 0.651401 | + | 0.758734i | \(0.274182\pi\) | ||||
−0.651401 | + | 0.758734i | \(0.725818\pi\) | |||||||
\(242\) | 17.9238 | + | 3.66273i | 1.15219 | + | 0.235449i | ||||
\(243\) | 14.0513 | − | 6.74983i | 0.901393 | − | 0.433002i | ||||
\(244\) | 4.70843 | − | 0.569889i | 0.301426 | − | 0.0364834i | ||||
\(245\) | −21.9007 | − | 16.8352i | −1.39918 | − | 1.07556i | ||||
\(246\) | 2.41849 | + | 24.7444i | 0.154197 | + | 1.57765i | ||||
\(247\) | 3.92940i | 0.250022i | ||||||||
\(248\) | −2.26619 | + | 1.07374i | −0.143903 | + | 0.0681824i | ||||
\(249\) | 3.29131 | + | 3.05509i | 0.208578 | + | 0.193609i | ||||
\(250\) | 6.22663 | − | 30.4705i | 0.393806 | − | 1.92712i | ||||
\(251\) | 4.53190 | 0.286051 | 0.143026 | − | 0.989719i | \(-0.454317\pi\) | ||||
0.143026 | + | 0.989719i | \(0.454317\pi\) | |||||||
\(252\) | −14.6544 | − | 6.10312i | −0.923141 | − | 0.384461i | ||||
\(253\) | 16.5087 | 1.03789 | ||||||||
\(254\) | −1.70287 | + | 8.33312i | −0.106848 | + | 0.522867i | ||||
\(255\) | −12.6658 | + | 3.90416i | −0.793161 | + | 0.244488i | ||||
\(256\) | −0.668581 | + | 15.9860i | −0.0417863 | + | 0.999127i | ||||
\(257\) | 23.8841i | 1.48985i | 0.667149 | + | 0.744924i | \(0.267514\pi\) | ||||
−0.667149 | + | 0.744924i | \(0.732486\pi\) | |||||||
\(258\) | 5.31479 | − | 3.80253i | 0.330885 | − | 0.236735i | ||||
\(259\) | 0.0826350 | − | 1.25245i | 0.00513469 | − | 0.0778234i | ||||
\(260\) | −1.24649 | − | 10.2985i | −0.0773042 | − | 0.638688i | ||||
\(261\) | 6.59398 | − | 4.49192i | 0.408157 | − | 0.278043i | ||||
\(262\) | −2.76919 | − | 0.565884i | −0.171081 | − | 0.0349604i | ||||
\(263\) | − | 27.2015i | − | 1.67732i | −0.544656 | − | 0.838660i | \(-0.683340\pi\) | ||
0.544656 | − | 0.838660i | \(-0.316660\pi\) | |||||||
\(264\) | −16.1875 | − | 17.6757i | −0.996269 | − | 1.08786i | ||||
\(265\) | 43.3635 | − | 25.0359i | 2.66380 | − | 1.53794i | ||||
\(266\) | 2.95620 | − | 10.7881i | 0.181256 | − | 0.661463i | ||||
\(267\) | −15.8794 | + | 17.1072i | −0.971801 | + | 1.04694i | ||||
\(268\) | 1.67498 | + | 2.23076i | 0.102316 | + | 0.136265i | ||||
\(269\) | 15.8637 | − | 9.15891i | 0.967227 | − | 0.558429i | 0.0688372 | − | 0.997628i | \(-0.478071\pi\) |
0.898390 | + | 0.439199i | \(0.144738\pi\) | |||||||
\(270\) | −18.5801 | − | 22.2645i | −1.13075 | − | 1.35497i | ||||
\(271\) | −0.772505 | + | 1.33802i | −0.0469264 | + | 0.0812788i | −0.888535 | − | 0.458810i | \(-0.848276\pi\) |
0.841608 | + | 0.540089i | \(0.181609\pi\) | |||||||
\(272\) | 7.44850 | + | 2.16363i | 0.451632 | + | 0.131189i | ||||
\(273\) | −4.13520 | − | 4.37946i | −0.250274 | − | 0.265057i | ||||
\(274\) | −13.9412 | − | 2.84887i | −0.842217 | − | 0.172107i | ||||
\(275\) | − | 51.7263i | − | 3.11921i | ||||||
\(276\) | −9.46057 | − | 6.86520i | −0.569459 | − | 0.413237i | ||||
\(277\) | 0.486092 | 0.0292065 | 0.0146032 | − | 0.999893i | \(-0.495351\pi\) | ||||
0.0146032 | + | 0.999893i | \(0.495351\pi\) | |||||||
\(278\) | 7.17929 | + | 21.5182i | 0.430585 | + | 1.29058i | ||||
\(279\) | −2.19823 | + | 1.49747i | −0.131604 | + | 0.0896510i | ||||
\(280\) | −4.32564 | + | 29.2123i | −0.258506 | + | 1.74577i | ||||
\(281\) | −13.1672 | + | 22.8062i | −0.785489 | + | 1.36051i | 0.143218 | + | 0.989691i | \(0.454255\pi\) |
−0.928707 | + | 0.370815i | \(0.879078\pi\) | |||||||
\(282\) | −6.00121 | + | 0.586551i | −0.357367 | + | 0.0349286i | ||||
\(283\) | −8.58849 | + | 14.8757i | −0.510533 | + | 0.884268i | 0.489393 | + | 0.872063i | \(0.337218\pi\) |
−0.999926 | + | 0.0122050i | \(0.996115\pi\) | |||||||
\(284\) | −1.69116 | + | 3.96511i | −0.100352 | + | 0.235286i | ||||
\(285\) | 13.9014 | − | 14.9763i | 0.823447 | − | 0.887117i | ||||
\(286\) | −2.87818 | − | 8.62668i | −0.170191 | − | 0.510106i | ||||
\(287\) | 14.9292 | − | 22.3221i | 0.881241 | − | 1.31763i | ||||
\(288\) | 1.92598 | + | 16.8609i | 0.113489 | + | 0.993539i | ||||
\(289\) | −6.61996 | + | 11.4661i | −0.389409 | + | 0.674476i | ||||
\(290\) | −11.1078 | − | 9.84439i | −0.652270 | − | 0.578082i | ||||
\(291\) | 2.56344 | − | 2.76165i | 0.150271 | − | 0.161891i | ||||
\(292\) | 9.09995 | − | 1.10142i | 0.532534 | − | 0.0644558i | ||||
\(293\) | −21.5170 | + | 12.4229i | −1.25704 | + | 0.725751i | −0.972498 | − | 0.232913i | \(-0.925174\pi\) |
−0.284540 | + | 0.958664i | \(0.591841\pi\) | |||||||
\(294\) | 8.05838 | + | 15.1348i | 0.469974 | + | 0.882680i | ||||
\(295\) | 23.9051 | + | 13.8016i | 1.39181 | + | 0.803561i | ||||
\(296\) | −1.21261 | + | 0.574543i | −0.0704815 | + | 0.0333946i | ||||
\(297\) | −19.8663 | − | 15.8619i | −1.15276 | − | 0.920403i | ||||
\(298\) | −13.4270 | − | 2.74381i | −0.777807 | − | 0.158944i | ||||
\(299\) | −2.21758 | − | 3.84096i | −0.128246 | − | 0.222128i | ||||
\(300\) | −21.5105 | + | 29.6425i | −1.24191 | + | 1.71141i | ||||
\(301\) | −7.04330 | − | 0.464708i | −0.405969 | − | 0.0267853i | ||||
\(302\) | 4.68534 | − | 22.9281i | 0.269611 | − | 1.31936i | ||||
\(303\) | 1.20520 | + | 0.275328i | 0.0692370 | + | 0.0158172i | ||||
\(304\) | −11.6129 | + | 2.85294i | −0.666043 | + | 0.163627i | ||||
\(305\) | −4.67903 | − | 8.10432i | −0.267921 | − | 0.464052i | ||||
\(306\) | 8.16045 | + | 1.04336i | 0.466502 | + | 0.0596450i | ||||
\(307\) | −32.0881 | −1.83136 | −0.915682 | − | 0.401904i | \(-0.868348\pi\) | ||||
−0.915682 | + | 0.401904i | \(0.868348\pi\) | |||||||
\(308\) | 1.41194 | + | 25.8498i | 0.0804530 | + | 1.47293i | ||||
\(309\) | −0.449274 | + | 1.96662i | −0.0255583 | + | 0.111877i | ||||
\(310\) | 3.70298 | + | 3.28181i | 0.210315 | + | 0.186395i | ||||
\(311\) | 6.52427 | − | 11.3004i | 0.369957 | − | 0.640785i | −0.619601 | − | 0.784917i | \(-0.712706\pi\) |
0.989559 | + | 0.144132i | \(0.0460389\pi\) | |||||||
\(312\) | −1.93804 | + | 6.14055i | −0.109720 | + | 0.347640i | ||||
\(313\) | 11.5365 | − | 6.66061i | 0.652083 | − | 0.376480i | −0.137171 | − | 0.990547i | \(-0.543801\pi\) |
0.789254 | + | 0.614067i | \(0.210468\pi\) | |||||||
\(314\) | −13.8634 | − | 12.2866i | −0.782355 | − | 0.693371i | ||||
\(315\) | 0.267024 | + | 31.3211i | 0.0150451 | + | 1.76474i | ||||
\(316\) | 19.9632 | − | 2.41627i | 1.12302 | − | 0.135926i | ||||
\(317\) | 9.82677 | + | 17.0205i | 0.551927 | + | 0.955965i | 0.998136 | + | 0.0610362i | \(0.0194405\pi\) |
−0.446209 | + | 0.894929i | \(0.647226\pi\) | |||||||
\(318\) | −30.9331 | + | 3.02336i | −1.73464 | + | 0.169541i | ||||
\(319\) | −11.2684 | − | 6.50579i | −0.630907 | − | 0.364255i | ||||
\(320\) | 29.5310 | − | 11.1611i | 1.65084 | − | 0.623925i | ||||
\(321\) | 14.3586 | − | 15.4688i | 0.801417 | − | 0.863384i | ||||
\(322\) | 3.19869 | + | 12.2137i | 0.178256 | + | 0.680642i | ||||
\(323\) | 5.79701i | 0.322554i | ||||||||
\(324\) | 4.78845 | + | 17.3514i | 0.266025 | + | 0.963966i | ||||
\(325\) | −12.0348 | + | 6.94828i | −0.667569 | + | 0.385421i | ||||
\(326\) | 8.50178 | + | 7.53481i | 0.470870 | + | 0.417314i | ||||
\(327\) | −15.7203 | + | 4.84569i | −0.869333 | + | 0.267967i | ||||
\(328\) | −28.6141 | − | 2.32641i | −1.57995 | − | 0.128454i | ||||
\(329\) | 5.41374 | + | 3.62074i | 0.298469 | + | 0.199618i | ||||
\(330\) | −19.5496 | + | 43.0616i | −1.07617 | + | 2.37046i | ||||
\(331\) | −12.4763 | + | 7.20320i | −0.685760 | + | 0.395924i | −0.802022 | − | 0.597295i | \(-0.796242\pi\) |
0.116262 | + | 0.993219i | \(0.462909\pi\) | |||||||
\(332\) | −4.14662 | + | 3.11351i | −0.227575 | + | 0.170876i | ||||
\(333\) | −1.17624 | + | 0.801275i | −0.0644577 | + | 0.0439096i | ||||
\(334\) | −4.32972 | − | 12.9773i | −0.236912 | − | 0.710087i | ||||
\(335\) | 2.75209 | − | 4.76677i | 0.150363 | − | 0.260436i | ||||
\(336\) | 9.94060 | − | 15.4008i | 0.542304 | − | 0.840182i | ||||
\(337\) | −0.489878 | − | 0.848494i | −0.0266854 | − | 0.0462204i | 0.852374 | − | 0.522932i | \(-0.175162\pi\) |
−0.879060 | + | 0.476712i | \(0.841829\pi\) | |||||||
\(338\) | 10.5735 | − | 11.9304i | 0.575122 | − | 0.648930i | ||||
\(339\) | −20.6834 | + | 6.37556i | −1.12337 | + | 0.346273i | ||||
\(340\) | −1.83894 | − | 15.1933i | −0.0997305 | − | 0.823974i | ||||
\(341\) | 3.75652 | + | 2.16883i | 0.203427 | + | 0.117449i | ||||
\(342\) | −11.6999 | + | 4.89750i | −0.632657 | + | 0.264827i | ||||
\(343\) | 3.63674 | − | 18.1597i | 0.196365 | − | 0.980531i | ||||
\(344\) | 3.23101 | + | 6.81926i | 0.174204 | + | 0.367670i | ||||
\(345\) | −5.13657 | + | 22.4845i | −0.276544 | + | 1.21053i | ||||
\(346\) | −21.9847 | + | 7.33491i | −1.18190 | + | 0.394327i | ||||
\(347\) | −23.7580 | − | 13.7167i | −1.27540 | − | 0.736351i | −0.299399 | − | 0.954128i | \(-0.596786\pi\) |
−0.975998 | + | 0.217777i | \(0.930119\pi\) | |||||||
\(348\) | 3.75205 | + | 8.41423i | 0.201131 | + | 0.451050i | ||||
\(349\) | −13.0352 | − | 7.52589i | −0.697760 | − | 0.402852i | 0.108753 | − | 0.994069i | \(-0.465314\pi\) |
−0.806512 | + | 0.591217i | \(0.798648\pi\) | |||||||
\(350\) | 38.2688 | − | 10.0224i | 2.04555 | − | 0.535718i | ||||
\(351\) | −1.02188 | + | 6.75285i | −0.0545441 | + | 0.360440i | ||||
\(352\) | 23.4054 | − | 14.7695i | 1.24751 | − | 0.787219i | ||||
\(353\) | − | 18.5070i | − | 0.985026i | −0.870305 | − | 0.492513i | \(-0.836078\pi\) | ||
0.870305 | − | 0.492513i | \(-0.163922\pi\) | |||||||
\(354\) | −9.96966 | − | 13.9346i | −0.529882 | − | 0.740614i | ||||
\(355\) | 8.50550 | 0.451425 | ||||||||
\(356\) | −16.1830 | − | 21.5528i | −0.857699 | − | 1.14229i | ||||
\(357\) | −6.10062 | − | 6.46098i | −0.322879 | − | 0.341951i | ||||
\(358\) | 24.8735 | − | 8.29874i | 1.31461 | − | 0.438602i | ||||
\(359\) | 5.04854 | + | 2.91478i | 0.266452 | + | 0.153836i | 0.627274 | − | 0.778799i | \(-0.284171\pi\) |
−0.360822 | + | 0.932635i | \(0.617504\pi\) | |||||||
\(360\) | 29.1105 | − | 16.5473i | 1.53426 | − | 0.872119i | ||||
\(361\) | 5.03132 | + | 8.71450i | 0.264806 | + | 0.458658i | ||||
\(362\) | 6.51356 | − | 31.8746i | 0.342345 | − | 1.67529i | ||||
\(363\) | −4.99003 | + | 21.8430i | −0.261909 | + | 1.14646i | ||||
\(364\) | 5.82462 | − | 3.80086i | 0.305293 | − | 0.199219i | ||||
\(365\) | −9.04313 | − | 15.6632i | −0.473339 | − | 0.819848i | ||||
\(366\) | 0.565043 | + | 5.78116i | 0.0295353 | + | 0.302186i | ||||
\(367\) | 1.80797 | 0.0943752 | 0.0471876 | − | 0.998886i | \(-0.484974\pi\) | ||||
0.0471876 | + | 0.998886i | \(0.484974\pi\) | |||||||
\(368\) | 9.74142 | − | 9.34252i | 0.507806 | − | 0.487012i | ||||
\(369\) | −30.3658 | + | 2.26365i | −1.58078 | + | 0.117841i | ||||
\(370\) | 1.98142 | + | 1.75606i | 0.103009 | + | 0.0912930i | ||||
\(371\) | 27.9050 | + | 18.6630i | 1.44875 | + | 0.968934i | ||||
\(372\) | −1.25082 | − | 2.80504i | −0.0648519 | − | 0.145435i | ||||
\(373\) | −5.95914 | −0.308553 | −0.154276 | − | 0.988028i | \(-0.549305\pi\) | ||||
−0.154276 | + | 0.988028i | \(0.549305\pi\) | |||||||
\(374\) | −4.24616 | − | 12.7269i | −0.219564 | − | 0.658090i | ||||
\(375\) | 37.1331 | + | 8.48303i | 1.91755 | + | 0.438062i | ||||
\(376\) | 0.564218 | − | 6.93972i | 0.0290973 | − | 0.357889i | ||||
\(377\) | 3.49564i | 0.180034i | ||||||||
\(378\) | 7.88593 | − | 17.7711i | 0.405608 | − | 0.914047i | ||||
\(379\) | 16.5311i | 0.849146i | 0.905394 | + | 0.424573i | \(0.139576\pi\) | ||||
−0.905394 | + | 0.424573i | \(0.860424\pi\) | |||||||
\(380\) | 14.1672 | + | 18.8681i | 0.726763 | + | 0.967913i | ||||
\(381\) | −10.1552 | − | 2.31996i | −0.520269 | − | 0.118855i | ||||
\(382\) | 5.29110 | − | 1.76531i | 0.270716 | − | 0.0903212i | ||||
\(383\) | 3.29801 | 0.168520 | 0.0842601 | − | 0.996444i | \(-0.473147\pi\) | ||||
0.0842601 | + | 0.996444i | \(0.473147\pi\) | |||||||
\(384\) | −19.5548 | − | 1.26930i | −0.997900 | − | 0.0647739i | ||||
\(385\) | 45.8226 | − | 22.5725i | 2.33534 | − | 1.15040i | ||||
\(386\) | 5.39350 | − | 6.08567i | 0.274522 | − | 0.309753i | ||||
\(387\) | 4.50606 | + | 6.61474i | 0.229056 | + | 0.336246i | ||||
\(388\) | 2.61246 | + | 3.47931i | 0.132628 | + | 0.176635i | ||||
\(389\) | 9.64882 | 0.489215 | 0.244607 | − | 0.969622i | \(-0.421341\pi\) | ||||
0.244607 | + | 0.969622i | \(0.421341\pi\) | |||||||
\(390\) | 12.6449 | − | 1.23589i | 0.640298 | − | 0.0625819i | ||||
\(391\) | −3.27157 | − | 5.66653i | −0.165451 | − | 0.286569i | ||||
\(392\) | −18.8510 | + | 6.05320i | −0.952117 | + | 0.305733i | ||||
\(393\) | 0.770949 | − | 3.37470i | 0.0388892 | − | 0.170231i | ||||
\(394\) | 23.0023 | + | 4.70050i | 1.15884 | + | 0.236808i | ||||
\(395\) | −19.8386 | − | 34.3614i | −0.998186 | − | 1.72891i | ||||
\(396\) | 22.0988 | − | 19.3219i | 1.11051 | − | 0.970964i | ||||
\(397\) | −3.22184 | − | 1.86013i | −0.161700 | − | 0.0933573i | 0.416967 | − | 0.908922i | \(-0.363093\pi\) |
−0.578666 | + | 0.815565i | \(0.696427\pi\) | |||||||
\(398\) | 5.58036 | + | 16.7258i | 0.279718 | + | 0.838389i | ||||
\(399\) | 13.1259 | + | 3.92377i | 0.657116 | + | 0.196434i | ||||
\(400\) | −29.2727 | − | 30.5225i | −1.46363 | − | 1.52613i | ||||
\(401\) | −23.9720 | −1.19711 | −0.598553 | − | 0.801083i | \(-0.704257\pi\) | ||||
−0.598553 | + | 0.801083i | \(0.704257\pi\) | |||||||
\(402\) | −2.77861 | + | 1.98799i | −0.138584 | + | 0.0991519i | ||||
\(403\) | − | 1.16534i | − | 0.0580496i | ||||||
\(404\) | −0.560032 | + | 1.31306i | −0.0278626 | + | 0.0653271i | ||||
\(405\) | 27.7849 | − | 22.1221i | 1.38064 | − | 1.09926i | ||||
\(406\) | 2.62987 | − | 9.59725i | 0.130518 | − | 0.476303i | ||||
\(407\) | 2.01007 | + | 1.16051i | 0.0996353 | + | 0.0575245i | ||||
\(408\) | −2.85918 | + | 9.05910i | −0.141550 | + | 0.448492i | ||||
\(409\) | −19.1868 | − | 11.0775i | −0.948726 | − | 0.547747i | −0.0560410 | − | 0.998428i | \(-0.517848\pi\) |
−0.892685 | + | 0.450681i | \(0.851181\pi\) | |||||||
\(410\) | 17.9275 | + | 53.7335i | 0.885376 | + | 2.65371i | ||||
\(411\) | 3.88125 | − | 16.9895i | 0.191448 | − | 0.838032i | ||||
\(412\) | −2.14262 | − | 0.913849i | −0.105559 | − | 0.0450221i | ||||
\(413\) | −1.21839 | + | 18.4665i | −0.0599532 | + | 0.908675i | ||||
\(414\) | 8.67261 | − | 11.3902i | 0.426235 | − | 0.559796i | ||||
\(415\) | 8.86064 | + | 5.11570i | 0.434952 | + | 0.251120i | ||||
\(416\) | −6.58031 | − | 3.46160i | −0.322626 | − | 0.169719i | ||||
\(417\) | −26.5497 | + | 8.18382i | −1.30015 | + | 0.400763i | ||||
\(418\) | 15.4800 | + | 13.7193i | 0.757150 | + | 0.671034i | ||||
\(419\) | 17.6835 | + | 30.6287i | 0.863895 | + | 1.49631i | 0.868140 | + | 0.496319i | \(0.165315\pi\) |
−0.00424524 | + | 0.999991i | \(0.501351\pi\) | |||||||
\(420\) | −35.6462 | − | 6.11996i | −1.73936 | − | 0.298623i | ||||
\(421\) | −15.4856 | + | 26.8219i | −0.754723 | + | 1.30722i | 0.190788 | + | 0.981631i | \(0.438896\pi\) |
−0.945512 | + | 0.325588i | \(0.894438\pi\) | |||||||
\(422\) | −30.0773 | + | 10.0349i | −1.46414 | + | 0.488492i | ||||
\(423\) | −0.548997 | − | 7.36454i | −0.0266932 | − | 0.358076i | ||||
\(424\) | 2.90825 | − | 35.7706i | 0.141237 | − | 1.73717i | ||||
\(425\) | −17.7548 | + | 10.2507i | −0.861234 | + | 0.497234i | ||||
\(426\) | −4.80729 | − | 2.18247i | −0.232914 | − | 0.105741i | ||||
\(427\) | 3.48798 | − | 5.21523i | 0.168795 | − | 0.252383i | ||||
\(428\) | 14.6332 | + | 19.4886i | 0.707321 | + | 0.942019i | ||||
\(429\) | 10.6438 | − | 3.28090i | 0.513889 | − | 0.158404i | ||||
\(430\) | 9.87539 | − | 11.1427i | 0.476234 | − | 0.537351i | ||||
\(431\) | −4.22345 | + | 2.43841i | −0.203437 | + | 0.117454i | −0.598257 | − | 0.801304i | \(-0.704140\pi\) |
0.394821 | + | 0.918758i | \(0.370807\pi\) | |||||||
\(432\) | −20.6992 | + | 1.88286i | −0.995888 | + | 0.0905891i | ||||
\(433\) | 13.0744i | 0.628314i | 0.949371 | + | 0.314157i | \(0.101722\pi\) | ||||
−0.949371 | + | 0.314157i | \(0.898278\pi\) | |||||||
\(434\) | −0.876716 | + | 3.19942i | −0.0420837 | + | 0.153577i | ||||
\(435\) | 12.3668 | − | 13.3230i | 0.592944 | − | 0.638791i | ||||
\(436\) | −2.28242 | − | 18.8574i | −0.109308 | − | 0.903105i | ||||
\(437\) | 8.73621 | + | 5.04385i | 0.417910 | + | 0.241280i | ||||
\(438\) | 1.09206 | + | 11.1732i | 0.0521804 | + | 0.533877i | ||||
\(439\) | 0.958667 | + | 1.66046i | 0.0457547 | + | 0.0792494i | 0.887996 | − | 0.459852i | \(-0.152097\pi\) |
−0.842241 | + | 0.539101i | \(0.818764\pi\) | |||||||
\(440\) | −44.9234 | − | 31.0463i | −2.14164 | − | 1.48007i | ||||
\(441\) | −18.7586 | + | 9.44016i | −0.893265 | + | 0.449531i | ||||
\(442\) | −2.39069 | + | 2.69749i | −0.113713 | + | 0.128307i | ||||
\(443\) | −18.4381 | + | 10.6452i | −0.876020 | + | 0.505770i | −0.869344 | − | 0.494207i | \(-0.835458\pi\) |
−0.00667575 | + | 0.999978i | \(0.502125\pi\) | |||||||
\(444\) | −0.669296 | − | 1.50094i | −0.0317634 | − | 0.0712316i | ||||
\(445\) | −26.5897 | + | 46.0547i | −1.26047 | + | 2.18320i | ||||
\(446\) | 8.41389 | − | 9.49368i | 0.398409 | − | 0.449539i | ||||
\(447\) | 3.73811 | − | 16.3630i | 0.176806 | − | 0.773942i | ||||
\(448\) | 15.4619 | + | 14.4544i | 0.730508 | + | 0.682904i | ||||
\(449\) | 5.99969 | 0.283143 | 0.141572 | − | 0.989928i | \(-0.454784\pi\) | ||||
0.141572 | + | 0.989928i | \(0.454784\pi\) | |||||||
\(450\) | −35.6885 | − | 27.1736i | −1.68237 | − | 1.28098i | ||||
\(451\) | 24.8291 | + | 43.0053i | 1.16916 | + | 2.02504i | ||||
\(452\) | −3.00302 | − | 24.8110i | −0.141250 | − | 1.16701i | ||||
\(453\) | 27.9415 | + | 6.38322i | 1.31281 | + | 0.299910i | ||||
\(454\) | 10.7989 | + | 2.20675i | 0.506817 | + | 0.103568i | ||||
\(455\) | −11.4070 | − | 7.62909i | −0.534770 | − | 0.357657i | ||||
\(456\) | −3.16581 | − | 14.2995i | −0.148253 | − | 0.669633i | ||||
\(457\) | 12.6676 | + | 21.9408i | 0.592563 | + | 1.02635i | 0.993886 | + | 0.110413i | \(0.0352173\pi\) |
−0.401323 | + | 0.915937i | \(0.631449\pi\) | |||||||
\(458\) | −1.92563 | + | 9.42321i | −0.0899788 | + | 0.440318i | ||||
\(459\) | −1.50757 | + | 9.96241i | −0.0703675 | + | 0.465005i | ||||
\(460\) | −24.4967 | − | 10.4481i | −1.14216 | − | 0.487144i | ||||
\(461\) | 17.3693 | + | 10.0282i | 0.808970 | + | 0.467059i | 0.846598 | − | 0.532233i | \(-0.178647\pi\) |
−0.0376278 | + | 0.999292i | \(0.511980\pi\) | |||||||
\(462\) | −31.6909 | + | 1.00005i | −1.47439 | + | 0.0465266i | ||||
\(463\) | −33.2880 | + | 19.2188i | −1.54702 | + | 0.893175i | −0.548658 | + | 0.836047i | \(0.684861\pi\) |
−0.998367 | + | 0.0571279i | \(0.981806\pi\) | |||||||
\(464\) | −10.3309 | + | 2.53801i | −0.479601 | + | 0.117824i | ||||
\(465\) | −4.12272 | + | 4.44149i | −0.191186 | + | 0.205969i | ||||
\(466\) | −15.8653 | + | 17.9014i | −0.734946 | + | 0.829265i | ||||
\(467\) | 16.3595 | − | 28.3355i | 0.757028 | − | 1.31121i | −0.187332 | − | 0.982297i | \(-0.559984\pi\) |
0.944360 | − | 0.328914i | \(-0.106683\pi\) | |||||||
\(468\) | −7.46398 | − | 2.54610i | −0.345022 | − | 0.117693i | ||||
\(469\) | 3.68228 | + | 0.242952i | 0.170032 | + | 0.0112185i | ||||
\(470\) | −13.0319 | + | 4.34792i | −0.601115 | + | 0.200554i | ||||
\(471\) | 15.4348 | − | 16.6282i | 0.711196 | − | 0.766187i | ||||
\(472\) | 17.8791 | − | 8.47122i | 0.822950 | − | 0.389920i | ||||
\(473\) | 6.52628 | − | 11.3039i | 0.300079 | − | 0.519752i | ||||
\(474\) | 2.39572 | + | 24.5115i | 0.110039 | + | 1.12585i | ||||
\(475\) | 15.8038 | − | 27.3729i | 0.725126 | − | 1.25596i | ||||
\(476\) | 8.59301 | − | 5.60737i | 0.393860 | − | 0.257013i | ||||
\(477\) | −2.82979 | − | 37.9603i | −0.129567 | − | 1.73808i | ||||
\(478\) | 26.1007 | − | 8.70817i | 1.19382 | − | 0.398302i | ||||
\(479\) | 36.7966 | 1.68128 | 0.840639 | − | 0.541595i | \(-0.182180\pi\) | ||||
0.840639 | + | 0.541595i | \(0.182180\pi\) | |||||||
\(480\) | 12.8334 | + | 36.4731i | 0.585760 | + | 1.66476i | ||||
\(481\) | − | 0.623556i | − | 0.0284317i | ||||||
\(482\) | 6.67011 | − | 32.6407i | 0.303815 | − | 1.48674i | ||||
\(483\) | −15.0449 | + | 3.57221i | −0.684565 | + | 0.162541i | ||||
\(484\) | −23.7978 | − | 10.1500i | −1.08172 | − | 0.461363i | ||||
\(485\) | 4.29243 | − | 7.43471i | 0.194909 | − | 0.337593i | ||||
\(486\) | −21.3804 | + | 5.37390i | −0.969834 | + | 0.243765i | ||||
\(487\) | 3.93075 | − | 2.26942i | 0.178119 | − | 0.102837i | −0.408289 | − | 0.912853i | \(-0.633875\pi\) |
0.586409 | + | 0.810015i | \(0.300541\pi\) | |||||||
\(488\) | −6.68526 | − | 0.543530i | −0.302628 | − | 0.0246044i | ||||
\(489\) | −9.46546 | + | 10.1973i | −0.428043 | + | 0.461139i | ||||
\(490\) | 25.5784 | + | 29.5275i | 1.15551 | + | 1.33392i | ||||
\(491\) | −10.6660 | + | 6.15804i | −0.481351 | + | 0.277908i | −0.720980 | − | 0.692956i | \(-0.756308\pi\) |
0.239628 | + | 0.970865i | \(0.422975\pi\) | |||||||
\(492\) | 3.65519 | − | 34.9701i | 0.164789 | − | 1.57658i | ||||
\(493\) | 5.15708i | 0.232263i | ||||||||
\(494\) | 1.11258 | − | 5.44449i | 0.0500574 | − | 0.244959i | ||||
\(495\) | −52.1743 | − | 25.1510i | −2.34506 | − | 1.13045i | ||||
\(496\) | 3.44401 | − | 0.846093i | 0.154641 | − | 0.0379907i | ||||
\(497\) | 2.51994 | + | 5.11553i | 0.113035 | + | 0.229463i | ||||
\(498\) | −3.69535 | − | 5.16498i | −0.165593 | − | 0.231448i | ||||
\(499\) | 12.9516i | 0.579793i | 0.957058 | + | 0.289896i | \(0.0936209\pi\) | ||||
−0.957058 | + | 0.289896i | \(0.906379\pi\) | |||||||
\(500\) | −17.2550 | + | 40.4562i | −0.771666 | + | 1.80926i | ||||
\(501\) | 16.0117 | − | 4.93554i | 0.715352 | − | 0.220504i | ||||
\(502\) | −6.27931 | − | 1.28317i | −0.280259 | − | 0.0572709i | ||||
\(503\) | −20.4872 | −0.913480 | −0.456740 | − | 0.889600i | \(-0.650983\pi\) | ||||
−0.456740 | + | 0.889600i | \(0.650983\pi\) | |||||||
\(504\) | 18.5768 | + | 12.6057i | 0.827476 | + | 0.561500i | ||||
\(505\) | 2.81662 | 0.125338 | ||||||||
\(506\) | −22.8741 | − | 4.67432i | −1.01688 | − | 0.207799i | ||||
\(507\) | 14.3098 | + | 13.2827i | 0.635520 | + | 0.589907i | ||||
\(508\) | 4.71892 | − | 11.0640i | 0.209368 | − | 0.490888i | ||||
\(509\) | − | 28.4509i | − | 1.26107i | −0.776163 | − | 0.630533i | \(-0.782837\pi\) | ||
0.776163 | − | 0.630533i | \(-0.217163\pi\) | |||||||
\(510\) | 18.6549 | − | 1.82330i | 0.826051 | − | 0.0807372i | ||||
\(511\) | 6.74119 | − | 10.0794i | 0.298213 | − | 0.445888i | ||||
\(512\) | 5.45270 | − | 21.9606i | 0.240977 | − | 0.970531i | ||||
\(513\) | −5.66676 | − | 14.4636i | −0.250194 | − | 0.638585i | ||||
\(514\) | 6.76260 | − | 33.0933i | 0.298286 | − | 1.45968i | ||||
\(515\) | 4.59610i | 0.202528i | ||||||||
\(516\) | −8.44073 | + | 3.76387i | −0.371582 | + | 0.165695i | ||||
\(517\) | −10.4300 | + | 6.02176i | −0.458710 | + | 0.264837i | ||||
\(518\) | −0.469119 | + | 1.71197i | −0.0206119 | + | 0.0752197i | ||||
\(519\) | −8.36122 | − | 27.1252i | −0.367017 | − | 1.19067i | ||||
\(520\) | −1.18884 | + | 14.6224i | −0.0521340 | + | 0.641233i | ||||
\(521\) | 32.0751 | − | 18.5186i | 1.40524 | − | 0.811314i | 0.410314 | − | 0.911944i | \(-0.365419\pi\) |
0.994924 | + | 0.100630i | \(0.0320858\pi\) | |||||||
\(522\) | −10.4083 | + | 4.35687i | −0.455560 | + | 0.190695i | ||||
\(523\) | −2.33168 | + | 4.03859i | −0.101957 | + | 0.176595i | −0.912491 | − | 0.409097i | \(-0.865844\pi\) |
0.810534 | + | 0.585692i | \(0.199177\pi\) | |||||||
\(524\) | 3.67671 | + | 1.56815i | 0.160618 | + | 0.0685051i | ||||
\(525\) | 11.1927 | + | 47.1396i | 0.488490 | + | 2.05734i | ||||
\(526\) | −7.70192 | + | 37.6899i | −0.335820 | + | 1.64336i | ||||
\(527\) | − | 1.71921i | − | 0.0748900i | ||||||
\(528\) | 17.4243 | + | 29.0744i | 0.758294 | + | 1.26530i | ||||
\(529\) | 11.6139 | 0.504952 | ||||||||
\(530\) | −67.1723 | + | 22.4112i | −2.91778 | + | 0.973481i | ||||
\(531\) | 17.3428 | − | 11.8142i | 0.752615 | − | 0.512693i | ||||
\(532\) | −7.15063 | + | 14.1108i | −0.310019 | + | 0.611781i | ||||
\(533\) | 6.67049 | − | 11.5536i | 0.288931 | − | 0.500443i | ||||
\(534\) | 26.8459 | − | 19.2072i | 1.16173 | − | 0.831177i | ||||
\(535\) | 24.0432 | − | 41.6440i | 1.03948 | − | 1.80043i | ||||
\(536\) | −1.68919 | − | 3.56515i | −0.0729621 | − | 0.153991i | ||||
\(537\) | 9.45990 | + | 30.6896i | 0.408225 | + | 1.32435i | ||||
\(538\) | −24.5737 | + | 8.19871i | −1.05945 | + | 0.353472i | ||||
\(539\) | 27.1520 | + | 20.8718i | 1.16952 | + | 0.899014i | ||||
\(540\) | 19.4402 | + | 36.1100i | 0.836571 | + | 1.55393i | ||||
\(541\) | 11.6836 | − | 20.2366i | 0.502318 | − | 0.870040i | −0.497678 | − | 0.867362i | \(-0.665814\pi\) |
0.999996 | − | 0.00267870i | \(-0.000852658\pi\) | |||||||
\(542\) | 1.44922 | − | 1.63520i | 0.0622492 | − | 0.0702379i | ||||
\(543\) | 38.8443 | + | 8.87395i | 1.66697 | + | 0.380817i | ||||
\(544\) | −9.70787 | − | 5.10687i | −0.416222 | − | 0.218955i | ||||
\(545\) | −32.4580 | + | 18.7396i | −1.39035 | + | 0.802718i | ||||
\(546\) | 4.48964 | + | 7.23894i | 0.192139 | + | 0.309798i | ||||
\(547\) | 21.8092 | + | 12.5915i | 0.932493 | + | 0.538375i | 0.887599 | − | 0.460617i | \(-0.152372\pi\) |
0.0448939 | + | 0.998992i | \(0.485705\pi\) | |||||||
\(548\) | 18.5100 | + | 7.89468i | 0.790707 | + | 0.337244i | ||||
\(549\) | −7.09450 | + | 0.528867i | −0.302786 | + | 0.0225715i | ||||
\(550\) | −14.6459 | + | 71.6709i | −0.624504 | + | 3.05606i | ||||
\(551\) | −3.97539 | − | 6.88557i | −0.169357 | − | 0.293335i | ||||
\(552\) | 11.1645 | + | 12.1910i | 0.475194 | + | 0.518882i | ||||
\(553\) | 14.7886 | − | 22.1120i | 0.628876 | − | 0.940297i | ||||
\(554\) | −0.673520 | − | 0.137633i | −0.0286151 | − | 0.00584749i | ||||
\(555\) | −2.20601 | + | 2.37658i | −0.0936400 | + | 0.100880i | ||||
\(556\) | −3.85475 | − | 31.8480i | −0.163478 | − | 1.35065i | ||||
\(557\) | −3.17042 | − | 5.49134i | −0.134335 | − | 0.232675i | 0.791008 | − | 0.611806i | \(-0.209557\pi\) |
−0.925343 | + | 0.379130i | \(0.876223\pi\) | |||||||
\(558\) | 3.46982 | − | 1.45245i | 0.146889 | − | 0.0614870i | ||||
\(559\) | −3.50664 | −0.148315 | ||||||||
\(560\) | 14.2648 | − | 39.2512i | 0.602797 | − | 1.65867i | ||||
\(561\) | 15.7027 | − | 4.84029i | 0.662970 | − | 0.204357i | ||||
\(562\) | 24.7016 | − | 27.8717i | 1.04197 | − | 1.17570i | ||||
\(563\) | 0.642577 | − | 1.11298i | 0.0270814 | − | 0.0469064i | −0.852167 | − | 0.523270i | \(-0.824712\pi\) |
0.879248 | + | 0.476363i | \(0.158045\pi\) | |||||||
\(564\) | 8.48123 | + | 0.886486i | 0.357124 | + | 0.0373278i | ||||
\(565\) | −42.7056 | + | 24.6561i | −1.79664 | + | 1.03729i | ||||
\(566\) | 16.1120 | − | 18.1797i | 0.677237 | − | 0.764149i | ||||
\(567\) | 21.5370 | + | 10.1567i | 0.904468 | + | 0.426541i | ||||
\(568\) | 3.46593 | − | 5.01514i | 0.145427 | − | 0.210430i | ||||
\(569\) | 9.93849 | + | 17.2140i | 0.416643 | + | 0.721647i | 0.995599 | − | 0.0937117i | \(-0.0298732\pi\) |
−0.578956 | + | 0.815359i | \(0.696540\pi\) | |||||||
\(570\) | −23.5019 | + | 16.8147i | −0.984386 | + | 0.704291i | ||||
\(571\) | 12.4246 | + | 7.17336i | 0.519954 | + | 0.300196i | 0.736916 | − | 0.675985i | \(-0.236281\pi\) |
−0.216962 | + | 0.976180i | \(0.569615\pi\) | |||||||
\(572\) | 1.54537 | + | 12.7679i | 0.0646153 | + | 0.533852i | ||||
\(573\) | 2.01232 | + | 6.52830i | 0.0840657 | + | 0.272724i | ||||
\(574\) | −27.0059 | + | 26.7020i | −1.12720 | + | 1.11452i | ||||
\(575\) | 35.6758i | 1.48778i | ||||||||
\(576\) | 2.10545 | − | 23.9075i | 0.0877272 | − | 0.996145i | ||||
\(577\) | 10.9881 | − | 6.34398i | 0.457440 | − | 0.264103i | −0.253527 | − | 0.967328i | \(-0.581591\pi\) |
0.710967 | + | 0.703225i | \(0.248257\pi\) | |||||||
\(578\) | 12.4190 | − | 14.0128i | 0.516563 | − | 0.582856i | ||||
\(579\) | 7.29937 | + | 6.77548i | 0.303351 | + | 0.281579i | ||||
\(580\) | 12.6033 | + | 16.7853i | 0.523324 | + | 0.696970i | ||||
\(581\) | −0.451609 | + | 6.84476i | −0.0187359 | + | 0.283969i | ||||
\(582\) | −4.33379 | + | 3.10066i | −0.179641 | + | 0.128527i | ||||
\(583\) | −53.7611 | + | 31.0390i | −2.22656 | + | 1.28550i | ||||
\(584\) | −12.9206 | − | 1.05048i | −0.534657 | − | 0.0434690i | ||||
\(585\) | 1.15677 | + | 15.5175i | 0.0478264 | + | 0.641569i | ||||
\(586\) | 33.3310 | − | 11.1205i | 1.37689 | − | 0.459382i | ||||
\(587\) | 12.4489 | − | 21.5622i | 0.513823 | − | 0.889967i | −0.486049 | − | 0.873932i | \(-0.661562\pi\) |
0.999871 | − | 0.0160352i | \(-0.00510440\pi\) | |||||||
\(588\) | −6.88021 | − | 23.2522i | −0.283735 | − | 0.958903i | ||||
\(589\) | 1.32527 | + | 2.29544i | 0.0546068 | + | 0.0945818i | ||||
\(590\) | −29.2146 | − | 25.8918i | −1.20274 | − | 1.06595i | ||||
\(591\) | −6.40387 | + | 28.0319i | −0.263420 | + | 1.15308i | ||||
\(592\) | 1.84285 | − | 0.452734i | 0.0757405 | − | 0.0186072i | ||||
\(593\) | −22.9565 | − | 13.2540i | −0.942712 | − | 0.544275i | −0.0519027 | − | 0.998652i | \(-0.516529\pi\) |
−0.890809 | + | 0.454377i | \(0.849862\pi\) | |||||||
\(594\) | 23.0352 | + | 27.6030i | 0.945144 | + | 1.13256i | ||||
\(595\) | −16.8287 | − | 11.2551i | −0.689909 | − | 0.461415i | ||||
\(596\) | 17.8273 | + | 7.60352i | 0.730235 | + | 0.311452i | ||||
\(597\) | −20.6367 | + | 6.36117i | −0.844605 | + | 0.260345i | ||||
\(598\) | 1.98509 | + | 5.94985i | 0.0811765 | + | 0.243307i | ||||
\(599\) | 21.3471 | + | 12.3248i | 0.872219 | + | 0.503576i | 0.868085 | − | 0.496415i | \(-0.165351\pi\) |
0.00413416 | + | 0.999991i | \(0.498684\pi\) | |||||||
\(600\) | 38.1976 | − | 34.9815i | 1.55941 | − | 1.42812i | ||||
\(601\) | −0.673377 | − | 0.388774i | −0.0274676 | − | 0.0158584i | 0.486203 | − | 0.873846i | \(-0.338381\pi\) |
−0.513671 | + | 0.857987i | \(0.671715\pi\) | |||||||
\(602\) | 9.62747 | + | 2.63815i | 0.392386 | + | 0.107523i | ||||
\(603\) | −2.35580 | − | 3.45823i | −0.0959356 | − | 0.140830i | ||||
\(604\) | −12.9838 | + | 30.4420i | −0.528304 | + | 1.23867i | ||||
\(605\) | 51.0483i | 2.07541i | ||||||||
\(606\) | −1.59195 | − | 0.722732i | −0.0646684 | − | 0.0293590i | ||||
\(607\) | 42.1687 | 1.71157 | 0.855787 | − | 0.517328i | \(-0.173073\pi\) | ||||
0.855787 | + | 0.517328i | \(0.173073\pi\) | |||||||
\(608\) | 16.8983 | − | 0.664883i | 0.685318 | − | 0.0269646i | ||||
\(609\) | 11.6769 | + | 3.49063i | 0.473173 | + | 0.141447i | ||||
\(610\) | 4.18849 | + | 12.5540i | 0.169587 | + | 0.508297i | ||||
\(611\) | 2.80208 | + | 1.61778i | 0.113360 | + | 0.0654483i | ||||
\(612\) | −11.0115 | − | 3.75623i | −0.445115 | − | 0.151837i | ||||
\(613\) | 4.18716 | + | 7.25237i | 0.169118 | + | 0.292921i | 0.938110 | − | 0.346338i | \(-0.112575\pi\) |
−0.768992 | + | 0.639258i | \(0.779241\pi\) | |||||||
\(614\) | 44.4606 | + | 9.08550i | 1.79428 | + | 0.366661i | ||||
\(615\) | −66.2977 | + | 20.4359i | −2.67338 | + | 0.824057i | ||||
\(616\) | 5.36283 | − | 36.2168i | 0.216074 | − | 1.45922i | ||||
\(617\) | −8.84616 | − | 15.3220i | −0.356133 | − | 0.616840i | 0.631178 | − | 0.775638i | \(-0.282572\pi\) |
−0.987311 | + | 0.158797i | \(0.949238\pi\) | |||||||
\(618\) | 1.17934 | − | 2.59771i | 0.0474400 | − | 0.104495i | ||||
\(619\) | −28.2667 | −1.13614 | −0.568068 | − | 0.822982i | \(-0.692309\pi\) | ||||
−0.568068 | + | 0.822982i | \(0.692309\pi\) | |||||||
\(620\) | −4.20156 | − | 5.59569i | −0.168739 | − | 0.224728i | ||||
\(621\) | 13.7019 | + | 10.9400i | 0.549836 | + | 0.439008i | ||||
\(622\) | −12.2395 | + | 13.8103i | −0.490760 | + | 0.553741i | ||||
\(623\) | −35.5768 | − | 2.34732i | −1.42536 | − | 0.0940432i | ||||
\(624\) | 4.42397 | − | 7.95948i | 0.177100 | − | 0.318634i | ||||
\(625\) | 33.9185 | 1.35674 | ||||||||
\(626\) | −17.8707 | + | 5.96233i | −0.714256 | + | 0.238303i | ||||
\(627\) | −17.2346 | + | 18.5672i | −0.688284 | + | 0.741503i | ||||
\(628\) | 15.7299 | + | 20.9493i | 0.627693 | + | 0.835969i | ||||
\(629\) | − | 0.919927i | − | 0.0366799i | ||||||
\(630\) | 8.49834 | − | 43.4734i | 0.338582 | − | 1.73202i | ||||
\(631\) | − | 21.2515i | − | 0.846007i | −0.906128 | − | 0.423004i | \(-0.860976\pi\) | ||
0.906128 | − | 0.423004i | \(-0.139024\pi\) | |||||||
\(632\) | −28.3447 | − | 2.30451i | −1.12749 | − | 0.0916683i | ||||
\(633\) | −11.4390 | − | 37.1101i | −0.454659 | − | 1.47499i | ||||
\(634\) | −8.79656 | − | 26.3656i | −0.349356 | − | 1.04711i | ||||
\(635\) | −23.7333 | −0.941828 | ||||||||
\(636\) | 43.7162 | + | 4.56936i | 1.73346 | + | 0.181187i | ||||
\(637\) | 1.20884 | − | 9.12091i | 0.0478958 | − | 0.361384i | ||||
\(638\) | 13.7711 | + | 12.2049i | 0.545205 | + | 0.483195i | ||||
\(639\) | 2.80779 | − | 5.82461i | 0.111075 | − | 0.230418i | ||||
\(640\) | −44.0778 | + | 7.10311i | −1.74233 | + | 0.280775i | ||||
\(641\) | −34.5020 | −1.36275 | −0.681373 | − | 0.731936i | \(-0.738617\pi\) | ||||
−0.681373 | + | 0.731936i | \(0.738617\pi\) | |||||||
\(642\) | −24.2748 | + | 17.3677i | −0.958051 | + | 0.685449i | ||||
\(643\) | −3.50574 | − | 6.07213i | −0.138253 | − | 0.239461i | 0.788582 | − | 0.614929i | \(-0.210815\pi\) |
−0.926835 | + | 0.375468i | \(0.877482\pi\) | |||||||
\(644\) | −0.973822 | − | 17.8287i | −0.0383740 | − | 0.702550i | ||||
\(645\) | 13.3650 | + | 12.4058i | 0.526246 | + | 0.488477i | ||||
\(646\) | 1.64138 | − | 8.03221i | 0.0645792 | − | 0.316023i | ||||
\(647\) | 0.330066 | + | 0.571691i | 0.0129762 | + | 0.0224755i | 0.872441 | − | 0.488720i | \(-0.162536\pi\) |
−0.859464 | + | 0.511196i | \(0.829203\pi\) | |||||||
\(648\) | −1.72186 | − | 25.3975i | −0.0676409 | − | 0.997710i | ||||
\(649\) | −29.6370 | − | 17.1109i | −1.16335 | − | 0.671662i | ||||
\(650\) | 18.6425 | − | 6.21984i | 0.731219 | − | 0.243962i | ||||
\(651\) | −3.89272 | − | 1.16367i | −0.152568 | − | 0.0456077i | ||||
\(652\) | −9.64647 | − | 12.8473i | −0.377785 | − | 0.503139i | ||||
\(653\) | 2.38048 | 0.0931552 | 0.0465776 | − | 0.998915i | \(-0.485169\pi\) | ||||
0.0465776 | + | 0.998915i | \(0.485169\pi\) | |||||||
\(654\) | 23.1537 | − | 2.26301i | 0.905382 | − | 0.0884908i | ||||
\(655\) | − | 7.88686i | − | 0.308165i | ||||||
\(656\) | 38.9884 | + | 11.3253i | 1.52224 | + | 0.442179i | ||||
\(657\) | −13.7115 | + | 1.02214i | −0.534937 | + | 0.0398774i | ||||
\(658\) | −6.47598 | − | 6.54968i | −0.252460 | − | 0.255333i | ||||
\(659\) | −4.53599 | − | 2.61885i | −0.176697 | − | 0.102016i | 0.409043 | − | 0.912515i | \(-0.365863\pi\) |
−0.585740 | + | 0.810499i | \(0.699196\pi\) | |||||||
\(660\) | 39.2801 | − | 54.1299i | 1.52898 | − | 2.10700i | ||||
\(661\) | −6.35756 | − | 3.67054i | −0.247280 | − | 0.142767i | 0.371238 | − | 0.928538i | \(-0.378933\pi\) |
−0.618518 | + | 0.785770i | \(0.712267\pi\) | |||||||
\(662\) | 19.3264 | − | 6.44803i | 0.751144 | − | 0.250610i | ||||
\(663\) | −3.23547 | − | 3.00325i | −0.125655 | − | 0.116637i | ||||
\(664\) | 6.62704 | − | 3.13994i | 0.257179 | − | 0.121853i | ||||
\(665\) | 31.1453 | + | 2.05493i | 1.20776 | + | 0.0796867i | ||||
\(666\) | 1.85665 | − | 0.777185i | 0.0719438 | − | 0.0301153i | ||||
\(667\) | 7.77183 | + | 4.48707i | 0.300926 | + | 0.173740i | ||||
\(668\) | 2.32474 | + | 19.2070i | 0.0899469 | + | 0.743142i | ||||
\(669\) | 11.3870 | + | 10.5698i | 0.440249 | + | 0.408651i | ||||
\(670\) | −5.16292 | + | 5.82550i | −0.199461 | + | 0.225059i | ||||
\(671\) | 5.80096 | + | 10.0476i | 0.223943 | + | 0.387881i | ||||
\(672\) | −18.1341 | + | 18.5244i | −0.699538 | + | 0.714595i | ||||
\(673\) | 6.21172 | − | 10.7590i | 0.239444 | − | 0.414730i | −0.721111 | − | 0.692820i | \(-0.756368\pi\) |
0.960555 | + | 0.278090i | \(0.0897014\pi\) | |||||||
\(674\) | 0.438520 | + | 1.31436i | 0.0168912 | + | 0.0506273i | ||||
\(675\) | 34.2781 | − | 42.9316i | 1.31936 | − | 1.65244i | ||||
\(676\) | −18.0284 | + | 13.5368i | −0.693401 | + | 0.520645i | ||||
\(677\) | 25.8330 | − | 14.9147i | 0.992843 | − | 0.573218i | 0.0867203 | − | 0.996233i | \(-0.472361\pi\) |
0.906123 | + | 0.423014i | \(0.139028\pi\) | |||||||
\(678\) | 30.4637 | − | 2.97749i | 1.16995 | − | 0.114350i | ||||
\(679\) | 5.74324 | + | 0.378932i | 0.220405 | + | 0.0145421i | ||||
\(680\) | −1.75388 | + | 21.5722i | −0.0672583 | + | 0.827258i | ||||
\(681\) | −3.00643 | + | 13.1602i | −0.115207 | + | 0.504298i | ||||
\(682\) | −4.59087 | − | 4.06872i | −0.175794 | − | 0.155799i | ||||
\(683\) | −9.32990 | + | 5.38662i | −0.356999 | + | 0.206113i | −0.667763 | − | 0.744374i | \(-0.732748\pi\) |
0.310765 | + | 0.950487i | \(0.399415\pi\) | |||||||
\(684\) | 17.5978 | − | 3.47315i | 0.672868 | − | 0.132799i | ||||
\(685\) | − | 39.7054i | − | 1.51707i | ||||||
\(686\) | −10.1808 | + | 24.1320i | −0.388704 | + | 0.921363i | ||||
\(687\) | −11.4837 | − | 2.62344i | −0.438130 | − | 0.100091i | ||||
\(688\) | −2.54600 | − | 10.3635i | −0.0970654 | − | 0.395103i | ||||
\(689\) | 14.4432 | + | 8.33879i | 0.550243 | + | 0.317683i | ||||
\(690\) | 13.4835 | − | 29.6997i | 0.513306 | − | 1.13065i | ||||
\(691\) | −23.6969 | − | 41.0442i | −0.901471 | − | 1.56139i | −0.825586 | − | 0.564277i | \(-0.809155\pi\) |
−0.0758850 | − | 0.997117i | \(-0.524178\pi\) | |||||||
\(692\) | 32.5383 | − | 3.93831i | 1.23692 | − | 0.149712i | ||||
\(693\) | −0.331050 | − | 38.8311i | −0.0125756 | − | 1.47507i | ||||
\(694\) | 29.0348 | + | 25.7325i | 1.10215 | + | 0.976791i | ||||
\(695\) | −54.8179 | + | 31.6491i | −2.07936 | + | 1.20052i | ||||
\(696\) | −2.81634 | − | 12.7209i | −0.106753 | − | 0.482186i | ||||
\(697\) | 9.84091 | − | 17.0450i | 0.372751 | − | 0.645624i | ||||
\(698\) | 15.9304 | + | 14.1185i | 0.602976 | + | 0.534395i | ||||
\(699\) | −21.4715 | − | 19.9305i | −0.812128 | − | 0.753840i | ||||
\(700\) | −55.8622 | + | 3.05125i | −2.11139 | + | 0.115326i | ||||
\(701\) | −39.5982 | −1.49560 | −0.747801 | − | 0.663923i | \(-0.768890\pi\) | ||||
−0.747801 | + | 0.663923i | \(0.768890\pi\) | |||||||
\(702\) | 3.32792 | − | 9.06727i | 0.125604 | − | 0.342222i | ||||
\(703\) | 0.709135 | + | 1.22826i | 0.0267455 | + | 0.0463246i | ||||
\(704\) | −36.6119 | + | 13.8373i | −1.37986 | + | 0.521513i | ||||
\(705\) | −4.95628 | − | 16.0790i | −0.186664 | − | 0.605572i | ||||
\(706\) | −5.24011 | + | 25.6429i | −0.197214 | + | 0.965082i | ||||
\(707\) | 0.834486 | + | 1.69402i | 0.0313841 | + | 0.0637102i | ||||
\(708\) | 9.86829 | + | 22.1303i | 0.370873 | + | 0.831708i | ||||
\(709\) | −13.7496 | − | 23.8150i | −0.516378 | − | 0.894393i | −0.999819 | − | 0.0190160i | \(-0.993947\pi\) |
0.483441 | − | 0.875377i | \(-0.339387\pi\) | |||||||
\(710\) | −11.7850 | − | 2.40827i | −0.442285 | − | 0.0903807i | ||||
\(711\) | −30.0799 | + | 2.24234i | −1.12808 | + | 0.0840942i | ||||
\(712\) | 16.3204 | + | 34.4452i | 0.611632 | + | 1.29089i | ||||
\(713\) | −2.59089 | − | 1.49585i | −0.0970295 | − | 0.0560200i | ||||
\(714\) | 6.62352 | + | 10.6795i | 0.247879 | + | 0.399672i | ||||
\(715\) | 21.9766 | − | 12.6882i | 0.821877 | − | 0.474511i | ||||
\(716\) | −36.8139 | + | 4.45581i | −1.37580 | + | 0.166521i | ||||
\(717\) | 9.92662 | + | 32.2037i | 0.370717 | + | 1.20267i | ||||
\(718\) | −6.16986 | − | 5.46811i | −0.230257 | − | 0.204068i | ||||
\(719\) | −26.4956 | + | 45.8917i | −0.988118 | + | 1.71147i | −0.360954 | + | 0.932584i | \(0.617549\pi\) |
−0.627164 | + | 0.778887i | \(0.715784\pi\) | |||||||
\(720\) | −45.0202 | + | 14.6852i | −1.67780 | + | 0.547284i | ||||
\(721\) | −2.76427 | + | 1.36170i | −0.102947 | + | 0.0507123i | ||||
\(722\) | −4.50385 | − | 13.4992i | −0.167616 | − | 0.502389i | ||||
\(723\) | 39.7779 | + | 9.08723i | 1.47935 | + | 0.337958i | ||||
\(724\) | −18.0501 | + | 42.3205i | −0.670827 | + | 1.57283i | ||||
\(725\) | 14.0592 | − | 24.3513i | 0.522146 | − | 0.904383i | ||||
\(726\) | 13.0988 | − | 28.8524i | 0.486141 | − | 1.07081i | ||||
\(727\) | 15.2977 | − | 26.4963i | 0.567359 | − | 0.982694i | −0.429467 | − | 0.903082i | \(-0.641299\pi\) |
0.996826 | − | 0.0796118i | \(-0.0253681\pi\) | |||||||
\(728\) | −9.14666 | + | 3.61719i | −0.338998 | + | 0.134062i | ||||
\(729\) | −5.97715 | − | 26.3301i | −0.221376 | − | 0.975189i | ||||
\(730\) | 8.09507 | + | 24.2631i | 0.299612 | + | 0.898016i | ||||
\(731\) | −5.17332 | −0.191342 | ||||||||
\(732\) | 0.853981 | − | 8.17025i | 0.0315640 | − | 0.301981i | ||||
\(733\) | − | 0.705255i | − | 0.0260492i | −0.999915 | − | 0.0130246i | \(-0.995854\pi\) | ||
0.999915 | − | 0.0130246i | \(-0.00414597\pi\) | |||||||
\(734\) | −2.50508 | − | 0.511913i | −0.0924643 | − | 0.0188950i | ||||
\(735\) | −36.8751 | + | 30.4862i | −1.36016 | + | 1.12450i | ||||
\(736\) | −16.1428 | + | 10.1866i | −0.595030 | + | 0.375483i | ||||
\(737\) | −3.41198 | + | 5.90973i | −0.125682 | + | 0.217688i | ||||
\(738\) | 42.7151 | + | 5.46138i | 1.57236 | + | 0.201036i | ||||
\(739\) | 29.5374 | − | 17.0534i | 1.08655 | − | 0.627321i | 0.153896 | − | 0.988087i | \(-0.450818\pi\) |
0.932656 | + | 0.360766i | \(0.117485\pi\) | |||||||
\(740\) | −2.24820 | − | 2.99418i | −0.0826454 | − | 0.110068i | ||||
\(741\) | 6.63498 | + | 1.51576i | 0.243742 | + | 0.0556828i | ||||
\(742\) | −33.3802 | − | 33.7601i | −1.22543 | − | 1.23937i | ||||
\(743\) | 32.7970 | − | 18.9353i | 1.20320 | − | 0.694670i | 0.241938 | − | 0.970292i | \(-0.422217\pi\) |
0.961266 | + | 0.275621i | \(0.0888836\pi\) | |||||||
\(744\) | 0.938880 | + | 4.24077i | 0.0344210 | + | 0.155474i | ||||
\(745\) | − | 38.2411i | − | 1.40105i | ||||||
\(746\) | 8.25686 | + | 1.68729i | 0.302305 | + | 0.0617759i | ||||
\(747\) | 6.42829 | − | 4.37905i | 0.235199 | − | 0.160221i | ||||
\(748\) | 2.27987 | + | 18.8363i | 0.0833605 | + | 0.688725i | ||||
\(749\) | 32.1696 | + | 2.12251i | 1.17545 | + | 0.0775548i | ||||
\(750\) | −49.0490 | − | 22.2679i | −1.79101 | − | 0.813108i | ||||
\(751\) | 18.1205i | 0.661227i | 0.943766 | + | 0.330613i | \(0.107256\pi\) | ||||
−0.943766 | + | 0.330613i | \(0.892744\pi\) | |||||||
\(752\) | −2.74670 | + | 9.45578i | −0.100162 | + | 0.344817i | ||||
\(753\) | 1.74817 | − | 7.65234i | 0.0637069 | − | 0.278867i | ||||
\(754\) | 0.989764 | − | 4.84348i | 0.0360451 | − | 0.176389i | ||||
\(755\) | 65.3007 | 2.37654 | ||||||||
\(756\) | −15.9583 | + | 22.3904i | −0.580399 | + | 0.814332i | ||||
\(757\) | −30.0755 | −1.09311 | −0.546555 | − | 0.837423i | \(-0.684061\pi\) | ||||
−0.546555 | + | 0.837423i | \(0.684061\pi\) | |||||||
\(758\) | 4.68066 | − | 22.9052i | 0.170009 | − | 0.831953i | ||||
\(759\) | 6.36820 | − | 27.8758i | 0.231151 | − | 1.01183i | ||||
\(760\) | −14.2875 | − | 30.1546i | −0.518261 | − | 1.09382i | ||||
\(761\) | 22.2505i | 0.806579i | 0.915072 | + | 0.403290i | \(0.132133\pi\) | ||||
−0.915072 | + | 0.403290i | \(0.867867\pi\) | |||||||
\(762\) | 13.4140 | + | 6.08987i | 0.485938 | + | 0.220613i | ||||
\(763\) | −20.8871 | − | 13.9694i | −0.756165 | − | 0.505728i | ||||
\(764\) | −7.83108 | + | 0.947842i | −0.283318 | + | 0.0342917i | ||||
\(765\) | 1.70657 | + | 22.8928i | 0.0617011 | + | 0.827691i | ||||
\(766\) | −4.56965 | − | 0.933806i | −0.165108 | − | 0.0337398i | ||||
\(767\) | 9.19389i | 0.331972i | ||||||||
\(768\) | 26.7353 | + | 7.29551i | 0.964727 | + | 0.263254i | ||||
\(769\) | −9.46235 | + | 5.46309i | −0.341221 | + | 0.197004i | −0.660812 | − | 0.750552i | \(-0.729788\pi\) |
0.319591 | + | 0.947556i | \(0.396455\pi\) | |||||||
\(770\) | −69.8822 | + | 18.3017i | −2.51838 | + | 0.659548i | ||||
\(771\) | 40.3295 | + | 9.21324i | 1.45243 | + | 0.331807i | ||||
\(772\) | −9.19624 | + | 6.90505i | −0.330980 | + | 0.248518i | ||||
\(773\) | −10.6286 | + | 6.13643i | −0.382284 | + | 0.220712i | −0.678812 | − | 0.734312i | \(-0.737505\pi\) |
0.296527 | + | 0.955024i | \(0.404171\pi\) | |||||||
\(774\) | −4.37059 | − | 10.4411i | −0.157098 | − | 0.375298i | ||||
\(775\) | −4.68690 | + | 8.11795i | −0.168359 | + | 0.291605i | ||||
\(776\) | −2.63463 | − | 5.56056i | −0.0945777 | − | 0.199612i | ||||
\(777\) | −2.08295 | − | 0.622663i | −0.0747253 | − | 0.0223379i | ||||
\(778\) | −13.3692 | − | 2.73199i | −0.479309 | − | 0.0979467i | ||||
\(779\) | 30.3439i | 1.08718i | ||||||||
\(780\) | −17.8704 | − | 1.86787i | −0.639863 | − | 0.0668806i | ||||
\(781\) | −10.5449 | −0.377327 | ||||||||
\(782\) | 2.92859 | + | 8.77775i | 0.104726 | + | 0.313892i | ||||
\(783\) | −5.04121 | − | 12.8670i | −0.180158 | − | 0.459829i | ||||
\(784\) | 27.8334 | − | 3.04968i | 0.994051 | − | 0.108917i | ||||
\(785\) | 25.8452 | − | 44.7653i | 0.922456 | − | 1.59774i | ||||
\(786\) | −2.02373 | + | 4.45763i | −0.0721842 | + | 0.158998i | ||||
\(787\) | 1.13525 | − | 1.96631i | 0.0404672 | − | 0.0700913i | −0.845082 | − | 0.534636i | \(-0.820449\pi\) |
0.885550 | + | 0.464545i | \(0.153782\pi\) | |||||||
\(788\) | −30.5405 | − | 13.0258i | −1.08796 | − | 0.464026i | ||||
\(789\) | −45.9311 | − | 10.4929i | −1.63519 | − | 0.373559i | ||||
\(790\) | 17.7587 | + | 53.2276i | 0.631827 | + | 1.89375i | ||||
\(791\) | −27.4816 | − | 18.3798i | −0.977133 | − | 0.653512i | ||||
\(792\) | −36.0905 | + | 20.5150i | −1.28242 | + | 0.728967i | ||||
\(793\) | 1.55846 | − | 2.69933i | 0.0553425 | − | 0.0958560i | ||||
\(794\) | 3.93743 | + | 3.48960i | 0.139734 | + | 0.123841i | ||||
\(795\) | −25.5470 | − | 82.8790i | −0.906059 | − | 2.93941i | ||||
\(796\) | −2.99624 | − | 24.7550i | −0.106199 | − | 0.877416i | ||||
\(797\) | −4.92030 | + | 2.84074i | −0.174286 | + | 0.100624i | −0.584605 | − | 0.811318i | \(-0.698751\pi\) |
0.410319 | + | 0.911942i | \(0.365417\pi\) | |||||||
\(798\) | −17.0760 | − | 9.15319i | −0.604482 | − | 0.324019i | ||||
\(799\) | 4.13388 | + | 2.38669i | 0.146246 | + | 0.0844352i | ||||
\(800\) | 31.9174 | + | 50.5797i | 1.12845 | + | 1.78826i | ||||
\(801\) | 22.7609 | + | 33.4121i | 0.804215 | + | 1.18056i | ||||
\(802\) | 33.2152 | + | 6.78750i | 1.17287 | + | 0.239675i | ||||
\(803\) | 11.2115 | + | 19.4188i | 0.395644 | + | 0.685276i | ||||
\(804\) | 4.41287 | − | 1.96777i | 0.155630 | − | 0.0693980i | ||||
\(805\) | −31.6040 | + | 15.5684i | −1.11390 | + | 0.548712i | ||||
\(806\) | −0.329957 | + | 1.61467i | −0.0116222 | + | 0.0568742i | ||||
\(807\) | −9.34588 | − | 30.3197i | −0.328991 | − | 1.06730i | ||||
\(808\) | 1.14775 | − | 1.66078i | 0.0403777 | − | 0.0584259i | ||||
\(809\) | −8.28527 | − | 14.3505i | −0.291295 | − | 0.504537i | 0.682821 | − | 0.730585i | \(-0.260753\pi\) |
−0.974116 | + | 0.226048i | \(0.927419\pi\) | |||||||
\(810\) | −44.7619 | + | 22.7849i | −1.57277 | + | 0.800580i | ||||
\(811\) | −10.2931 | −0.361438 | −0.180719 | − | 0.983535i | \(-0.557842\pi\) | ||||
−0.180719 | + | 0.983535i | \(0.557842\pi\) | |||||||
\(812\) | −6.36128 | + | 12.5531i | −0.223237 | + | 0.440528i | ||||
\(813\) | 1.96132 | + | 1.82055i | 0.0687864 | + | 0.0638495i | ||||
\(814\) | −2.45652 | − | 2.17712i | −0.0861009 | − | 0.0763080i | ||||
\(815\) | −15.8497 | + | 27.4526i | −0.555192 | + | 0.961621i | ||||
\(816\) | 6.52664 | − | 11.7425i | 0.228478 | − | 0.411071i | ||||
\(817\) | 6.90726 | − | 3.98791i | 0.241654 | − | 0.139519i | ||||
\(818\) | 23.4483 | + | 20.7814i | 0.819851 | + | 0.726603i | ||||
\(819\) | −8.99008 | + | 5.29312i | −0.314139 | + | 0.184957i | ||||
\(820\) | −9.62575 | − | 79.5280i | −0.336146 | − | 2.77724i | ||||
\(821\) | 0.0507961 | + | 0.0879815i | 0.00177280 | + | 0.00307058i | 0.866910 | − | 0.498464i | \(-0.166102\pi\) |
−0.865138 | + | 0.501535i | \(0.832769\pi\) | |||||||
\(822\) | −10.1882 | + | 22.4414i | −0.355356 | + | 0.782734i | ||||
\(823\) | −47.7924 | − | 27.5929i | −1.66594 | − | 0.961829i | −0.969794 | − | 0.243927i | \(-0.921564\pi\) |
−0.696144 | − | 0.717902i | \(-0.745102\pi\) | |||||||
\(824\) | 2.71002 | + | 1.87288i | 0.0944081 | + | 0.0652448i | ||||
\(825\) | −87.3424 | − | 19.9533i | −3.04087 | − | 0.694685i | ||||
\(826\) | 6.91682 | − | 25.2418i | 0.240667 | − | 0.878273i | ||||
\(827\) | − | 37.1634i | − | 1.29230i | −0.763211 | − | 0.646149i | \(-0.776378\pi\) | ||
0.763211 | − | 0.646149i | \(-0.223622\pi\) | |||||||
\(828\) | −15.2416 | + | 13.3264i | −0.529683 | + | 0.463124i | ||||
\(829\) | 33.4823 | − | 19.3310i | 1.16289 | − | 0.671393i | 0.210893 | − | 0.977509i | \(-0.432363\pi\) |
0.951994 | + | 0.306116i | \(0.0990295\pi\) | |||||||
\(830\) | −10.8287 | − | 9.59703i | −0.375868 | − | 0.333118i | ||||
\(831\) | 0.187509 | − | 0.820791i | 0.00650462 | − | 0.0284729i | ||||
\(832\) | 8.13742 | + | 6.65949i | 0.282114 | + | 0.230876i | ||||
\(833\) | 1.78338 | − | 13.4560i | 0.0617906 | − | 0.466223i | ||||
\(834\) | 39.1040 | − | 3.82197i | 1.35406 | − | 0.132344i | ||||
\(835\) | 33.0598 | − | 19.0871i | 1.14408 | − | 0.660537i | ||||
\(836\) | −17.5642 | − | 23.3922i | −0.607471 | − | 0.809037i | ||||
\(837\) | 1.68058 | + | 4.28946i | 0.0580895 | + | 0.148265i | ||||
\(838\) | −15.8296 | − | 47.4454i | −0.546824 | − | 1.63898i | ||||
\(839\) | 2.58403 | − | 4.47567i | 0.0892106 | − | 0.154517i | −0.817967 | − | 0.575265i | \(-0.804899\pi\) |
0.907178 | + | 0.420748i | \(0.138232\pi\) | |||||||
\(840\) | 47.6578 | + | 18.5727i | 1.64435 | + | 0.640817i | ||||
\(841\) | 10.9635 | + | 18.9893i | 0.378050 | + | 0.654802i | ||||
\(842\) | 29.0510 | − | 32.7792i | 1.00116 | − | 1.12965i | ||||
\(843\) | 33.4302 | + | 31.0309i | 1.15140 | + | 1.06876i | ||||
\(844\) | 44.5157 | − | 5.38801i | 1.53229 | − | 0.185463i | ||||
\(845\) | 38.5238 | + | 22.2417i | 1.32526 | + | 0.765138i | ||||
\(846\) | −1.32454 | + | 10.3596i | −0.0455385 | + | 0.356170i | ||||
\(847\) | −30.7024 | + | 15.1242i | −1.05495 | + | 0.519673i | ||||
\(848\) | −14.1578 | + | 48.7395i | −0.486180 | + | 1.67372i | ||||
\(849\) | 21.8054 | + | 20.2404i | 0.748358 | + | 0.694647i | ||||
\(850\) | 27.5031 | − | 9.17607i | 0.943348 | − | 0.314736i | ||||
\(851\) | −1.38635 | − | 0.800409i | −0.0475234 | − | 0.0274377i | ||||
\(852\) | 6.04292 | + | 4.38514i | 0.207027 | + | 0.150232i | ||||
\(853\) | 30.1332 | + | 17.3974i | 1.03174 | + | 0.595675i | 0.917483 | − | 0.397776i | \(-0.130218\pi\) |
0.114257 | + | 0.993451i | \(0.463551\pi\) | |||||||
\(854\) | −6.30952 | + | 6.23852i | −0.215907 | + | 0.213478i | ||||
\(855\) | −19.9257 | − | 29.2502i | −0.681445 | − | 1.00034i | ||||
\(856\) | −14.7573 | − | 31.1463i | −0.504396 | − | 1.06456i | ||||
\(857\) | − | 42.8423i | − | 1.46347i | −0.681592 | − | 0.731733i | \(-0.738712\pi\) | ||
0.681592 | − | 0.731733i | \(-0.261288\pi\) | |||||||
\(858\) | −15.6768 | + | 1.53223i | −0.535198 | + | 0.0523096i | ||||
\(859\) | −31.9433 | −1.08989 | −0.544945 | − | 0.838472i | \(-0.683450\pi\) | ||||
−0.544945 | + | 0.838472i | \(0.683450\pi\) | |||||||
\(860\) | −16.8381 | + | 12.6430i | −0.574175 | + | 0.431123i | ||||
\(861\) | −31.9331 | − | 33.8194i | −1.08828 | − | 1.15256i | ||||
\(862\) | 6.54235 | − | 2.18277i | 0.222833 | − | 0.0743455i | ||||
\(863\) | −30.0490 | − | 17.3488i | −1.02288 | − | 0.590560i | −0.107943 | − | 0.994157i | \(-0.534426\pi\) |
−0.914937 | + | 0.403597i | \(0.867760\pi\) | |||||||
\(864\) | 29.2134 | + | 3.25196i | 0.993861 | + | 0.110634i | ||||
\(865\) | −32.3352 | − | 56.0061i | −1.09943 | − | 1.90427i | ||||
\(866\) | 3.70191 | − | 18.1156i | 0.125796 | − | 0.615593i | ||||
\(867\) | 16.8074 | + | 15.6011i | 0.570811 | + | 0.529843i | ||||
\(868\) | 2.12065 | − | 4.18482i | 0.0719796 | − | 0.142042i | ||||
\(869\) | 24.5954 | + | 42.6005i | 0.834342 | + | 1.44512i | ||||
\(870\) | −20.9075 | + | 14.9585i | −0.708832 | + | 0.507142i | ||||
\(871\) | 1.83330 | 0.0621189 | ||||||||
\(872\) | −2.17685 | + | 26.7747i | −0.0737175 | + | 0.906704i | ||||
\(873\) | −3.67433 | − | 5.39379i | −0.124357 | − | 0.182552i | ||||
\(874\) | −10.6766 | − | 9.46225i | −0.361141 | − | 0.320065i | ||||
\(875\) | 25.7111 | + | 52.1939i | 0.869193 | + | 1.76448i | ||||
\(876\) | 1.65048 | − | 15.7906i | 0.0557647 | − | 0.533514i | ||||
\(877\) | −22.2426 | −0.751081 | −0.375540 | − | 0.926806i | \(-0.622543\pi\) | ||||
−0.375540 | + | 0.926806i | \(0.622543\pi\) | |||||||
\(878\) | −0.858162 | − | 2.57214i | −0.0289616 | − | 0.0868055i | ||||
\(879\) | 12.6765 | + | 41.1246i | 0.427566 | + | 1.38710i | ||||
\(880\) | 53.4544 | + | 55.7368i | 1.80195 | + | 1.87889i | ||||
\(881\) | − | 20.4228i | − | 0.688061i | −0.938958 | − | 0.344031i | \(-0.888208\pi\) | ||
0.938958 | − | 0.344031i | \(-0.111792\pi\) | |||||||
\(882\) | 28.6644 | − | 7.76874i | 0.965180 | − | 0.261587i | ||||
\(883\) | − | 11.6027i | − | 0.390461i | −0.980757 | − | 0.195231i | \(-0.937454\pi\) | ||
0.980757 | − | 0.195231i | \(-0.0625456\pi\) | |||||||
\(884\) | 4.07626 | − | 3.06069i | 0.137099 | − | 0.102942i | ||||
\(885\) | 32.5260 | − | 35.0410i | 1.09335 | − | 1.17789i | ||||
\(886\) | 28.5615 | − | 9.52921i | 0.959544 | − | 0.320140i | ||||
\(887\) | 53.0798 | 1.78225 | 0.891123 | − | 0.453763i | \(-0.149919\pi\) | ||||
0.891123 | + | 0.453763i | \(0.149919\pi\) | |||||||
\(888\) | 0.502382 | + | 2.26918i | 0.0168588 | + | 0.0761487i | ||||
\(889\) | −7.03152 | − | 14.2741i | −0.235830 | − | 0.478738i | ||||
\(890\) | 49.8822 | − | 56.2838i | 1.67206 | − | 1.88664i | ||||
\(891\) | −34.4471 | + | 27.4265i | −1.15402 | + | 0.918823i | ||||
\(892\) | −14.3462 | + | 10.7719i | −0.480345 | + | 0.360670i | ||||
\(893\) | −7.35923 | −0.246267 | ||||||||
\(894\) | −9.81250 | + | 21.6138i | −0.328179 | + | 0.722873i | ||||
\(895\) | 36.5841 | + | 63.3655i | 1.22287 | + | 2.11808i | ||||
\(896\) | −17.3311 | − | 24.4056i | −0.578992 | − | 0.815334i | ||||
\(897\) | −7.34108 | + | 2.26285i | −0.245111 | + | 0.0755543i | ||||
\(898\) | −8.31305 | − | 1.69877i | −0.277410 | − | 0.0566887i | ||||
\(899\) | 1.17898 | + | 2.04205i | 0.0393210 | + | 0.0681060i | ||||
\(900\) | 41.7552 | + | 47.7562i | 1.39184 | + | 1.59187i | ||||
\(901\) | 21.3079 | + | 12.3021i | 0.709870 | + | 0.409844i | ||||
\(902\) | −22.2261 | − | 66.6175i | −0.740049 | − | 2.21812i | ||||
\(903\) | −3.50162 | + | 11.7137i | −0.116527 | + | 0.389807i | ||||
\(904\) | −2.86412 | + | 35.2279i | −0.0952593 | + | 1.17166i | ||||
\(905\) | 90.7810 | 3.01766 | ||||||||
\(906\) | −36.9078 | − | 16.7559i | −1.22618 | − | 0.556677i | ||||
\(907\) | 54.6847i | 1.81578i | 0.419213 | + | 0.907888i | \(0.362306\pi\) | ||||
−0.419213 | + | 0.907888i | \(0.637694\pi\) | |||||||
\(908\) | −14.3379 | − | 6.11525i | −0.475819 | − | 0.202942i | ||||
\(909\) | 0.929808 | − | 1.92884i | 0.0308398 | − | 0.0639754i | ||||
\(910\) | 13.6452 | + | 13.8005i | 0.452335 | + | 0.457483i | ||||
\(911\) | −1.27865 | − | 0.738229i | −0.0423636 | − | 0.0244586i | 0.478669 | − | 0.877996i | \(-0.341120\pi\) |
−0.521032 | + | 0.853537i | \(0.674453\pi\) | |||||||
\(912\) | 0.337696 | + | 20.7094i | 0.0111822 | + | 0.685757i | ||||
\(913\) | −10.9852 | − | 6.34232i | −0.363558 | − | 0.209900i | ||||
\(914\) | −11.3395 | − | 33.9875i | −0.375078 | − | 1.12421i | ||||
\(915\) | −15.4895 | + | 4.77455i | −0.512066 | + | 0.157842i | ||||
\(916\) | 5.33623 | − | 12.5114i | 0.176314 | − | 0.413388i | ||||
\(917\) | 4.74345 | − | 2.33666i | 0.156643 | − | 0.0771632i | ||||
\(918\) | 4.90965 | − | 13.3769i | 0.162042 | − | 0.441502i | ||||
\(919\) | −16.9505 | − | 9.78639i | −0.559146 | − | 0.322823i | 0.193657 | − | 0.981069i | \(-0.437965\pi\) |
−0.752803 | + | 0.658246i | \(0.771299\pi\) | |||||||
\(920\) | 30.9838 | + | 21.4127i | 1.02151 | + | 0.705956i | ||||
\(921\) | −12.3779 | + | 54.1823i | −0.407866 | + | 1.78537i | ||||
\(922\) | −21.2272 | − | 18.8128i | −0.699080 | − | 0.619568i | ||||
\(923\) | 1.41648 | + | 2.45341i | 0.0466239 | + | 0.0807549i | ||||
\(924\) | 44.1934 | + | 7.58738i | 1.45386 | + | 0.249607i | ||||
\(925\) | −2.50790 | + | 4.34381i | −0.0824592 | + | 0.142824i | ||||
\(926\) | 51.5648 | − | 17.2040i | 1.69453 | − | 0.565358i | ||||
\(927\) | 3.14744 | + | 1.51724i | 0.103375 | + | 0.0498328i | ||||
\(928\) | 15.0329 | − | 0.591487i | 0.493480 | − | 0.0194165i | ||||
\(929\) | −12.5102 | + | 7.22275i | −0.410445 | + | 0.236971i | −0.690981 | − | 0.722873i | \(-0.742821\pi\) |
0.280536 | + | 0.959844i | \(0.409488\pi\) | |||||||
\(930\) | 6.96992 | − | 4.98672i | 0.228553 | − | 0.163521i | ||||
\(931\) | 7.99158 | + | 19.3408i | 0.261913 | + | 0.633868i | ||||
\(932\) | 27.0513 | − | 20.3116i | 0.886094 | − | 0.665329i | ||||
\(933\) | −16.5645 | − | 15.3756i | −0.542298 | − | 0.503376i | ||||
\(934\) | −30.6904 | + | 34.6290i | −1.00422 | + | 1.13310i | ||||
\(935\) | 32.4218 | − | 18.7187i | 1.06031 | − | 0.612168i | ||||
\(936\) | 9.62102 | + | 5.64119i | 0.314473 | + | 0.184388i | ||||
\(937\) | 31.4809i | 1.02844i | 0.857659 | + | 0.514218i | \(0.171918\pi\) | ||||
−0.857659 | + | 0.514218i | \(0.828082\pi\) | |||||||
\(938\) | −5.03330 | − | 1.37924i | −0.164343 | − | 0.0450338i | ||||
\(939\) | −6.79658 | − | 22.0493i | −0.221798 | − | 0.719552i | ||||
\(940\) | 19.2878 | − | 2.33451i | 0.629097 | − | 0.0761434i | ||||
\(941\) | −34.9308 | − | 20.1673i | −1.13871 | − | 0.657435i | −0.192600 | − | 0.981277i | \(-0.561692\pi\) |
−0.946111 | + | 0.323842i | \(0.895025\pi\) | |||||||
\(942\) | −26.0942 | + | 18.6694i | −0.850196 | + | 0.608283i | ||||
\(943\) | −17.1247 | − | 29.6609i | −0.557658 | − | 0.965892i | ||||
\(944\) | −27.1714 | + | 6.67523i | −0.884354 | + | 0.217260i | ||||
\(945\) | 52.9902 | + | 11.6312i | 1.72377 | + | 0.378361i | ||||
\(946\) | −12.2433 | + | 13.8145i | −0.398064 | + | 0.449149i | ||||
\(947\) | 12.8689 | − | 7.42986i | 0.418183 | − | 0.241438i | −0.276117 | − | 0.961124i | \(-0.589048\pi\) |
0.694300 | + | 0.719686i | \(0.255714\pi\) | |||||||
\(948\) | 3.62078 | − | 34.6409i | 0.117598 | − | 1.12508i | ||||
\(949\) | 3.01202 | − | 5.21698i | 0.0977745 | − | 0.169350i | ||||
\(950\) | −29.6478 | + | 33.4526i | −0.961902 | + | 1.08535i | ||||
\(951\) | 32.5306 | − | 10.0274i | 1.05488 | − | 0.325160i | ||||
\(952\) | −13.4940 | + | 5.33641i | −0.437343 | + | 0.172954i | ||||
\(953\) | −11.8041 | −0.382371 | −0.191185 | − | 0.981554i | \(-0.561233\pi\) | ||||
−0.191185 | + | 0.981554i | \(0.561233\pi\) | |||||||
\(954\) | −6.82728 | + | 53.3982i | −0.221041 | + | 1.72883i | ||||
\(955\) | 7.78219 | + | 13.4791i | 0.251826 | + | 0.436175i | ||||
\(956\) | −38.6302 | + | 4.67565i | −1.24939 | + | 0.151221i | ||||
\(957\) | −15.3321 | + | 16.5176i | −0.495617 | + | 0.533938i | ||||
\(958\) | −50.9846 | − | 10.4187i | −1.64724 | − | 0.336612i | ||||
\(959\) | 23.8803 | − | 11.7636i | 0.771137 | − | 0.379867i | ||||
\(960\) | −7.45455 | − | 54.1700i | −0.240595 | − | 1.74833i | ||||
\(961\) | 15.1070 | + | 26.1660i | 0.487321 | + | 0.844066i | ||||
\(962\) | −0.176555 | + | 0.863987i | −0.00569237 | + | 0.0278561i | ||||
\(963\) | −20.5810 | − | 30.2122i | −0.663214 | − | 0.973575i | ||||
\(964\) | −18.4839 | + | 43.3377i | −0.595327 | + | 1.39581i | ||||
\(965\) | 19.6508 | + | 11.3454i | 0.632583 | + | 0.365222i | ||||
\(966\) | 21.8573 | − | 0.689738i | 0.703247 | − | 0.0221920i | ||||
\(967\) | 2.41663 | − | 1.39524i | 0.0777137 | − | 0.0448680i | −0.460640 | − | 0.887587i | \(-0.652380\pi\) |
0.538353 | + | 0.842719i | \(0.319047\pi\) | |||||||
\(968\) | 30.0999 | + | 20.8018i | 0.967446 | + | 0.668595i | ||||
\(969\) | 9.78853 | + | 2.23618i | 0.314453 | + | 0.0718366i | ||||
\(970\) | −8.05259 | + | 9.08601i | −0.258553 | + | 0.291734i | ||||
\(971\) | −26.2483 | + | 45.4633i | −0.842347 | + | 1.45899i | 0.0455582 | + | 0.998962i | \(0.485493\pi\) |
−0.887905 | + | 0.460026i | \(0.847840\pi\) | |||||||
\(972\) | 31.1458 | − | 1.39227i | 0.999002 | − | 0.0446569i | ||||
\(973\) | −35.2760 | − | 23.5928i | −1.13090 | − | 0.756350i | ||||
\(974\) | −6.08894 | + | 2.03150i | −0.195102 | + | 0.0650935i | ||||
\(975\) | 7.09012 | + | 23.0016i | 0.227066 | + | 0.736641i | ||||
\(976\) | 9.10906 | + | 2.64599i | 0.291574 | + | 0.0846959i | ||||
\(977\) | 5.14397 | − | 8.90962i | 0.164570 | − | 0.285044i | −0.771932 | − | 0.635705i | \(-0.780710\pi\) |
0.936503 | + | 0.350661i | \(0.114043\pi\) | |||||||
\(978\) | 16.0024 | − | 11.4491i | 0.511702 | − | 0.366103i | ||||
\(979\) | 32.9653 | − | 57.0976i | 1.05358 | − | 1.82485i | ||||
\(980\) | −27.0804 | − | 48.1550i | −0.865051 | − | 1.53825i | ||||
\(981\) | 2.11813 | + | 28.4137i | 0.0676266 | + | 0.907179i | ||||
\(982\) | 16.5222 | − | 5.51244i | 0.527246 | − | 0.175909i | ||||
\(983\) | 32.9047 | 1.04950 | 0.524749 | − | 0.851257i | \(-0.324159\pi\) | ||||
0.524749 | + | 0.851257i | \(0.324159\pi\) | |||||||
\(984\) | −14.9661 | + | 47.4190i | −0.477102 | + | 1.51166i | ||||
\(985\) | 65.5120i | 2.08739i | ||||||||
\(986\) | 1.46019 | − | 7.14554i | 0.0465019 | − | 0.227560i | ||||
\(987\) | 8.20214 | − | 7.74467i | 0.261077 | − | 0.246516i | ||||
\(988\) | −3.08314 | + | 7.22876i | −0.0980876 | + | 0.229978i | ||||
\(989\) | −4.50120 | + | 7.79630i | −0.143130 | + | 0.247908i | ||||
\(990\) | 65.1703 | + | 49.6215i | 2.07125 | + | 1.57707i | ||||
\(991\) | −48.3716 | + | 27.9273i | −1.53657 | + | 0.887141i | −0.537537 | + | 0.843240i | \(0.680645\pi\) |
−0.999036 | + | 0.0439007i | \(0.986021\pi\) | |||||||
\(992\) | −5.01152 | + | 0.197183i | −0.159116 | + | 0.00626058i | ||||
\(993\) | 7.35024 | + | 23.8455i | 0.233253 | + | 0.756713i | ||||
\(994\) | −2.04316 | − | 7.80147i | −0.0648050 | − | 0.247448i | ||||
\(995\) | −42.6092 | + | 24.6004i | −1.35080 | + | 0.779885i | ||||
\(996\) | 3.65777 | + | 8.20280i | 0.115901 | + | 0.259916i | ||||
\(997\) | − | 0.253367i | − | 0.00802422i | −0.999992 | − | 0.00401211i | \(-0.998723\pi\) | ||
0.999992 | − | 0.00401211i | \(-0.00127710\pi\) | |||||||
\(998\) | 3.66715 | − | 17.9455i | 0.116082 | − | 0.568054i | ||||
\(999\) | 0.899258 | + | 2.29523i | 0.0284513 | + | 0.0726180i |
(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 | 252.2.n.b.187.4 | yes | 84 | |
3.2 | odd | 2 | 756.2.n.b.19.39 | 84 | |||
4.3 | odd | 2 | inner | 252.2.n.b.187.25 | yes | 84 | |
7.3 | odd | 6 | 252.2.bj.b.115.31 | yes | 84 | ||
9.4 | even | 3 | 252.2.bj.b.103.31 | yes | 84 | ||
9.5 | odd | 6 | 756.2.bj.b.523.12 | 84 | |||
12.11 | even | 2 | 756.2.n.b.19.18 | 84 | |||
21.17 | even | 6 | 756.2.bj.b.451.12 | 84 | |||
28.3 | even | 6 | 252.2.bj.b.115.32 | yes | 84 | ||
36.23 | even | 6 | 756.2.bj.b.523.11 | 84 | |||
36.31 | odd | 6 | 252.2.bj.b.103.32 | yes | 84 | ||
63.31 | odd | 6 | inner | 252.2.n.b.31.25 | yes | 84 | |
63.59 | even | 6 | 756.2.n.b.199.18 | 84 | |||
84.59 | odd | 6 | 756.2.bj.b.451.11 | 84 | |||
252.31 | even | 6 | inner | 252.2.n.b.31.4 | ✓ | 84 | |
252.59 | odd | 6 | 756.2.n.b.199.39 | 84 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
252.2.n.b.31.4 | ✓ | 84 | 252.31 | even | 6 | inner | |
252.2.n.b.31.25 | yes | 84 | 63.31 | odd | 6 | inner | |
252.2.n.b.187.4 | yes | 84 | 1.1 | even | 1 | trivial | |
252.2.n.b.187.25 | yes | 84 | 4.3 | odd | 2 | inner | |
252.2.bj.b.103.31 | yes | 84 | 9.4 | even | 3 | ||
252.2.bj.b.103.32 | yes | 84 | 36.31 | odd | 6 | ||
252.2.bj.b.115.31 | yes | 84 | 7.3 | odd | 6 | ||
252.2.bj.b.115.32 | yes | 84 | 28.3 | even | 6 | ||
756.2.n.b.19.18 | 84 | 12.11 | even | 2 | |||
756.2.n.b.19.39 | 84 | 3.2 | odd | 2 | |||
756.2.n.b.199.18 | 84 | 63.59 | even | 6 | |||
756.2.n.b.199.39 | 84 | 252.59 | odd | 6 | |||
756.2.bj.b.451.11 | 84 | 84.59 | odd | 6 | |||
756.2.bj.b.451.12 | 84 | 21.17 | even | 6 | |||
756.2.bj.b.523.11 | 84 | 36.23 | even | 6 | |||
756.2.bj.b.523.12 | 84 | 9.5 | odd | 6 |