Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [770,2,Mod(139,770)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(770, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 5, 7]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("770.139");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 770 = 2 \cdot 5 \cdot 7 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 770.w (of order \(10\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(6.14848095564\) |
Analytic rank: | \(0\) |
Dimension: | \(96\) |
Relative dimension: | \(24\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 349.2 | ||
Character | \(\chi\) | \(=\) | 770.349 |
Dual form | 770.2.w.b.139.2 |
$q$-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 \(\left(\mathbb{Z}/770\mathbb{Z}\right)^\times\).
\(n\) | \(211\) | \(617\) | \(661\) |
\(\chi(n)\) | \(e\left(\frac{3}{10}\right)\) | \(-1\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.809017 | − | 0.587785i | 0.572061 | − | 0.415627i | ||||
\(3\) | −0.934488 | − | 2.87606i | −0.539527 | − | 1.66049i | −0.733659 | − | 0.679518i | \(-0.762189\pi\) |
0.194132 | − | 0.980976i | \(-0.437811\pi\) | |||||||
\(4\) | 0.309017 | − | 0.951057i | 0.154508 | − | 0.475528i | ||||
\(5\) | 2.04566 | − | 0.902928i | 0.914847 | − | 0.403801i | ||||
\(6\) | −2.44652 | − | 1.77750i | −0.998789 | − | 0.725662i | ||||
\(7\) | 2.63792 | + | 0.203429i | 0.997040 | + | 0.0768889i | ||||
\(8\) | −0.309017 | − | 0.951057i | −0.109254 | − | 0.336249i | ||||
\(9\) | −4.97140 | + | 3.61193i | −1.65713 | + | 1.20398i | ||||
\(10\) | 1.12425 | − | 1.93289i | 0.355518 | − | 0.611234i | ||||
\(11\) | −2.96415 | − | 1.48789i | −0.893725 | − | 0.448614i | ||||
\(12\) | −3.02407 | −0.872973 | ||||||||
\(13\) | −0.321642 | − | 0.442702i | −0.0892074 | − | 0.122783i | 0.762081 | − | 0.647482i | \(-0.224178\pi\) |
−0.851288 | + | 0.524699i | \(0.824178\pi\) | |||||||
\(14\) | 2.25369 | − | 1.38595i | 0.602325 | − | 0.370411i | ||||
\(15\) | −4.50852 | − | 5.03966i | −1.16409 | − | 1.30124i | ||||
\(16\) | −0.809017 | − | 0.587785i | −0.202254 | − | 0.146946i | ||||
\(17\) | 3.59196 | − | 4.94391i | 0.871178 | − | 1.19907i | −0.107609 | − | 0.994193i | \(-0.534319\pi\) |
0.978787 | − | 0.204881i | \(-0.0656806\pi\) | |||||||
\(18\) | −1.89891 | + | 5.84423i | −0.447576 | + | 1.37750i | ||||
\(19\) | 0.0567089 | + | 0.174532i | 0.0130099 | + | 0.0400404i | 0.957351 | − | 0.288928i | \(-0.0932989\pi\) |
−0.944341 | + | 0.328969i | \(0.893299\pi\) | |||||||
\(20\) | −0.226592 | − | 2.22456i | −0.0506674 | − | 0.497426i | ||||
\(21\) | −1.88003 | − | 7.77691i | −0.410256 | − | 1.69706i | ||||
\(22\) | −3.27261 | + | 0.538560i | −0.697722 | + | 0.114821i | ||||
\(23\) | 8.00171i | 1.66847i | 0.551407 | + | 0.834236i | \(0.314091\pi\) | ||||
−0.551407 | + | 0.834236i | \(0.685909\pi\) | |||||||
\(24\) | −2.44652 | + | 1.77750i | −0.499394 | + | 0.362831i | ||||
\(25\) | 3.36944 | − | 3.69416i | 0.673889 | − | 0.738833i | ||||
\(26\) | −0.520427 | − | 0.169097i | −0.102064 | − | 0.0331627i | ||||
\(27\) | 7.69428 | + | 5.59022i | 1.48076 | + | 1.07584i | ||||
\(28\) | 1.00863 | − | 2.44595i | 0.190614 | − | 0.462241i | ||||
\(29\) | −4.80026 | − | 1.55970i | −0.891386 | − | 0.289629i | −0.172709 | − | 0.984973i | \(-0.555252\pi\) |
−0.718677 | + | 0.695344i | \(0.755252\pi\) | |||||||
\(30\) | −6.60971 | − | 1.42713i | −1.20676 | − | 0.260557i | ||||
\(31\) | −2.63979 | − | 3.63336i | −0.474120 | − | 0.652570i | 0.503242 | − | 0.864146i | \(-0.332141\pi\) |
−0.977362 | + | 0.211576i | \(0.932141\pi\) | |||||||
\(32\) | −1.00000 | −0.176777 | ||||||||
\(33\) | −1.50928 | + | 9.91549i | −0.262732 | + | 1.72607i | ||||
\(34\) | − | 6.11101i | − | 1.04803i | ||||||
\(35\) | 5.57996 | − | 1.96570i | 0.943186 | − | 0.332265i | ||||
\(36\) | 1.89891 | + | 5.84423i | 0.316484 | + | 0.974038i | ||||
\(37\) | 4.53079 | + | 1.47214i | 0.744858 | + | 0.242019i | 0.656767 | − | 0.754094i | \(-0.271924\pi\) |
0.0880906 | + | 0.996112i | \(0.471924\pi\) | |||||||
\(38\) | 0.148466 | + | 0.107867i | 0.0240843 | + | 0.0174983i | ||||
\(39\) | −0.972667 | + | 1.33876i | −0.155751 | + | 0.214373i | ||||
\(40\) | −1.49088 | − | 1.66652i | −0.235729 | − | 0.263500i | ||||
\(41\) | 3.44319 | + | 10.5971i | 0.537736 | + | 1.65498i | 0.737661 | + | 0.675171i | \(0.235930\pi\) |
−0.199924 | + | 0.979811i | \(0.564070\pi\) | |||||||
\(42\) | −6.09213 | − | 5.18660i | −0.940036 | − | 0.800310i | ||||
\(43\) | −2.20876 | −0.336833 | −0.168416 | − | 0.985716i | \(-0.553865\pi\) | ||||
−0.168416 | + | 0.985716i | \(0.553865\pi\) | |||||||
\(44\) | −2.33104 | + | 2.35929i | −0.351417 | + | 0.355677i | ||||
\(45\) | −6.90847 | + | 11.8776i | −1.02985 | + | 1.77061i | ||||
\(46\) | 4.70329 | + | 6.47352i | 0.693462 | + | 0.954469i | ||||
\(47\) | 0.0177794 | + | 0.0547195i | 0.00259340 | + | 0.00798166i | 0.952345 | − | 0.305023i | \(-0.0986643\pi\) |
−0.949751 | + | 0.313005i | \(0.898664\pi\) | |||||||
\(48\) | −0.934488 | + | 2.87606i | −0.134882 | + | 0.415123i | ||||
\(49\) | 6.91723 | + | 1.07326i | 0.988176 | + | 0.153323i | ||||
\(50\) | 0.554562 | − | 4.96915i | 0.0784269 | − | 0.702744i | ||||
\(51\) | −17.5756 | − | 5.71067i | −2.46108 | − | 0.799653i | ||||
\(52\) | −0.520427 | + | 0.169097i | −0.0721703 | + | 0.0234496i | ||||
\(53\) | 7.85350 | + | 10.8094i | 1.07876 | + | 1.48479i | 0.860877 | + | 0.508813i | \(0.169916\pi\) |
0.217884 | + | 0.975975i | \(0.430084\pi\) | |||||||
\(54\) | 9.51065 | 1.29424 | ||||||||
\(55\) | −7.40710 | − | 0.367292i | −0.998773 | − | 0.0495257i | ||||
\(56\) | −0.621689 | − | 2.57167i | −0.0830767 | − | 0.343654i | ||||
\(57\) | 0.448971 | − | 0.326196i | 0.0594676 | − | 0.0432058i | ||||
\(58\) | −4.80026 | + | 1.55970i | −0.630305 | + | 0.204799i | ||||
\(59\) | −5.59628 | − | 1.81834i | −0.728574 | − | 0.236728i | −0.0788372 | − | 0.996888i | \(-0.525121\pi\) |
−0.649736 | + | 0.760160i | \(0.725121\pi\) | |||||||
\(60\) | −6.18621 | + | 2.73051i | −0.798637 | + | 0.352508i | ||||
\(61\) | 3.98101 | + | 2.89237i | 0.509716 | + | 0.370330i | 0.812716 | − | 0.582660i | \(-0.197988\pi\) |
−0.303000 | + | 0.952991i | \(0.597988\pi\) | |||||||
\(62\) | −4.27127 | − | 1.38782i | −0.542451 | − | 0.176253i | ||||
\(63\) | −13.8489 | + | 8.51666i | −1.74480 | + | 1.07300i | ||||
\(64\) | −0.809017 | + | 0.587785i | −0.101127 | + | 0.0734732i | ||||
\(65\) | −1.05770 | − | 0.615198i | −0.131191 | − | 0.0763059i | ||||
\(66\) | 4.60714 | + | 8.90893i | 0.567100 | + | 1.09661i | ||||
\(67\) | − | 9.61579i | − | 1.17476i | −0.809313 | − | 0.587378i | \(-0.800160\pi\) | ||
0.809313 | − | 0.587378i | \(-0.199840\pi\) | |||||||
\(68\) | −3.59196 | − | 4.94391i | −0.435589 | − | 0.599537i | ||||
\(69\) | 23.0134 | − | 7.47751i | 2.77049 | − | 0.900186i | ||||
\(70\) | 3.35887 | − | 4.87011i | 0.401462 | − | 0.582089i | ||||
\(71\) | 0.266837 | + | 0.193869i | 0.0316678 | + | 0.0230080i | 0.603507 | − | 0.797358i | \(-0.293770\pi\) |
−0.571839 | + | 0.820366i | \(0.693770\pi\) | |||||||
\(72\) | 4.97140 | + | 3.61193i | 0.585885 | + | 0.425670i | ||||
\(73\) | −6.98448 | − | 2.26940i | −0.817472 | − | 0.265613i | −0.129713 | − | 0.991552i | \(-0.541406\pi\) |
−0.687759 | + | 0.725939i | \(0.741406\pi\) | |||||||
\(74\) | 4.53079 | − | 1.47214i | 0.526694 | − | 0.171133i | ||||
\(75\) | −13.7733 | − | 6.23857i | −1.59041 | − | 0.720368i | ||||
\(76\) | 0.183514 | 0.0210505 | ||||||||
\(77\) | −7.51651 | − | 4.52792i | −0.856586 | − | 0.516004i | ||||
\(78\) | 1.65480i | 0.187369i | ||||||||
\(79\) | −2.23926 | − | 3.08208i | −0.251937 | − | 0.346761i | 0.664252 | − | 0.747509i | \(-0.268750\pi\) |
−0.916188 | + | 0.400748i | \(0.868750\pi\) | |||||||
\(80\) | −2.18570 | − | 0.471925i | −0.244369 | − | 0.0527628i | ||||
\(81\) | 3.19088 | − | 9.82051i | 0.354542 | − | 1.09117i | ||||
\(82\) | 9.01440 | + | 6.54934i | 0.995474 | + | 0.723254i | ||||
\(83\) | 3.14192 | − | 4.32448i | 0.344870 | − | 0.474673i | −0.600986 | − | 0.799260i | \(-0.705225\pi\) |
0.945856 | + | 0.324587i | \(0.105225\pi\) | |||||||
\(84\) | −7.97725 | − | 0.615183i | −0.870389 | − | 0.0671219i | ||||
\(85\) | 2.88393 | − | 13.3568i | 0.312807 | − | 1.44875i | ||||
\(86\) | −1.78692 | + | 1.29828i | −0.192689 | + | 0.139997i | ||||
\(87\) | 15.2634i | 1.63640i | ||||||||
\(88\) | −0.499090 | + | 3.27886i | −0.0532032 | + | 0.349527i | ||||
\(89\) | 1.52742i | 0.161907i | 0.996718 | + | 0.0809533i | \(0.0257965\pi\) | ||||
−0.996718 | + | 0.0809533i | \(0.974204\pi\) | |||||||
\(90\) | 1.39240 | + | 13.6699i | 0.146772 | + | 1.44093i | ||||
\(91\) | −0.758407 | − | 1.23324i | −0.0795026 | − | 0.129279i | ||||
\(92\) | 7.61008 | + | 2.47267i | 0.793406 | + | 0.257793i | ||||
\(93\) | −7.98290 | + | 10.9875i | −0.827788 | + | 1.13935i | ||||
\(94\) | 0.0465472 | + | 0.0338185i | 0.00480098 | + | 0.00348811i | ||||
\(95\) | 0.273597 | + | 0.305829i | 0.0280704 | + | 0.0313774i | ||||
\(96\) | 0.934488 | + | 2.87606i | 0.0953758 | + | 0.293537i | ||||
\(97\) | 8.96753 | − | 6.51530i | 0.910515 | − | 0.661528i | −0.0306299 | − | 0.999531i | \(-0.509751\pi\) |
0.941145 | + | 0.338003i | \(0.109751\pi\) | |||||||
\(98\) | 6.22700 | − | 3.19756i | 0.629022 | − | 0.323003i | ||||
\(99\) | 20.1101 | − | 3.30945i | 2.02114 | − | 0.332612i | ||||
\(100\) | −2.47214 | − | 4.34609i | −0.247214 | − | 0.434609i | ||||
\(101\) | 10.4062 | − | 7.56052i | 1.03545 | − | 0.752300i | 0.0660593 | − | 0.997816i | \(-0.478957\pi\) |
0.969393 | + | 0.245516i | \(0.0789574\pi\) | |||||||
\(102\) | −17.5756 | + | 5.71067i | −1.74025 | + | 0.565440i | ||||
\(103\) | 2.59604 | − | 7.98980i | 0.255796 | − | 0.787258i | −0.737876 | − | 0.674936i | \(-0.764171\pi\) |
0.993672 | − | 0.112322i | \(-0.0358288\pi\) | |||||||
\(104\) | −0.321642 | + | 0.442702i | −0.0315396 | + | 0.0434105i | ||||
\(105\) | −10.8679 | − | 14.2114i | −1.06060 | − | 1.38689i | ||||
\(106\) | 12.7072 | + | 4.12883i | 1.23424 | + | 0.401027i | ||||
\(107\) | 0.784019 | + | 2.41296i | 0.0757939 | + | 0.233270i | 0.981775 | − | 0.190050i | \(-0.0608649\pi\) |
−0.905981 | + | 0.423319i | \(0.860865\pi\) | |||||||
\(108\) | 7.69428 | − | 5.59022i | 0.740382 | − | 0.537919i | ||||
\(109\) | 13.2256i | 1.26678i | 0.773833 | + | 0.633390i | \(0.218337\pi\) | ||||
−0.773833 | + | 0.633390i | \(0.781663\pi\) | |||||||
\(110\) | −6.20836 | + | 4.05664i | −0.591944 | + | 0.386785i | ||||
\(111\) | − | 14.4065i | − | 1.36741i | ||||||
\(112\) | −2.01455 | − | 1.71511i | −0.190357 | − | 0.162062i | ||||
\(113\) | −3.31407 | + | 1.07681i | −0.311762 | + | 0.101298i | −0.460719 | − | 0.887546i | \(-0.652408\pi\) |
0.148957 | + | 0.988844i | \(0.452408\pi\) | |||||||
\(114\) | 0.171492 | − | 0.527797i | 0.0160617 | − | 0.0494327i | ||||
\(115\) | 7.22497 | + | 16.3688i | 0.673732 | + | 1.52640i | ||||
\(116\) | −2.96673 | + | 4.08335i | −0.275454 | + | 0.379129i | ||||
\(117\) | 3.19802 | + | 1.03910i | 0.295657 | + | 0.0960648i | ||||
\(118\) | −5.59628 | + | 1.81834i | −0.515179 | + | 0.167392i | ||||
\(119\) | 10.4810 | − | 12.3109i | 0.960795 | − | 1.12854i | ||||
\(120\) | −3.39979 | + | 5.84520i | −0.310357 | + | 0.533591i | ||||
\(121\) | 6.57239 | + | 8.82064i | 0.597490 | + | 0.801876i | ||||
\(122\) | 4.92080 | 0.445508 | ||||||||
\(123\) | 27.2601 | − | 19.8057i | 2.45796 | − | 1.78582i | ||||
\(124\) | −4.27127 | + | 1.38782i | −0.383571 | + | 0.124630i | ||||
\(125\) | 3.55717 | − | 10.5994i | 0.318163 | − | 0.948036i | ||||
\(126\) | −6.19804 | + | 15.0303i | −0.552166 | + | 1.33901i | ||||
\(127\) | 15.9399 | + | 11.5810i | 1.41444 | + | 1.02765i | 0.992659 | + | 0.120948i | \(0.0385933\pi\) |
0.421777 | + | 0.906700i | \(0.361407\pi\) | |||||||
\(128\) | −0.309017 | + | 0.951057i | −0.0273135 | + | 0.0840623i | ||||
\(129\) | 2.06406 | + | 6.35253i | 0.181730 | + | 0.559309i | ||||
\(130\) | −1.21730 | + | 0.123993i | −0.106764 | + | 0.0108749i | ||||
\(131\) | −10.5056 | −0.917880 | −0.458940 | − | 0.888467i | \(-0.651771\pi\) | ||||
−0.458940 | + | 0.888467i | \(0.651771\pi\) | |||||||
\(132\) | 8.96380 | + | 4.49947i | 0.780198 | + | 0.391628i | ||||
\(133\) | 0.114089 | + | 0.471938i | 0.00989274 | + | 0.0409222i | ||||
\(134\) | −5.65202 | − | 7.77934i | −0.488260 | − | 0.672033i | ||||
\(135\) | 20.7874 | + | 4.48831i | 1.78910 | + | 0.386292i | ||||
\(136\) | −5.81191 | − | 1.88841i | −0.498367 | − | 0.161929i | ||||
\(137\) | −2.14585 | + | 2.95350i | −0.183332 | + | 0.252335i | −0.890784 | − | 0.454426i | \(-0.849844\pi\) |
0.707452 | + | 0.706761i | \(0.249844\pi\) | |||||||
\(138\) | 14.2231 | − | 19.5764i | 1.21075 | − | 1.66645i | ||||
\(139\) | −0.675103 | + | 2.07775i | −0.0572615 | + | 0.176233i | −0.975596 | − | 0.219571i | \(-0.929534\pi\) |
0.918335 | + | 0.395804i | \(0.129534\pi\) | |||||||
\(140\) | −0.145191 | − | 5.91430i | −0.0122709 | − | 0.499849i | ||||
\(141\) | 0.140762 | − | 0.102269i | 0.0118543 | − | 0.00861264i | ||||
\(142\) | 0.329829 | 0.0276786 | ||||||||
\(143\) | 0.294705 | + | 1.79080i | 0.0246445 | + | 0.149754i | ||||
\(144\) | 6.14499 | 0.512082 | ||||||||
\(145\) | −11.2280 | + | 1.14368i | −0.932435 | + | 0.0949770i | ||||
\(146\) | −6.98448 | + | 2.26940i | −0.578040 | + | 0.187817i | ||||
\(147\) | −3.37732 | − | 20.8973i | −0.278557 | − | 1.72358i | ||||
\(148\) | 2.80018 | − | 3.85412i | 0.230174 | − | 0.316807i | ||||
\(149\) | −3.29150 | + | 4.53036i | −0.269650 | + | 0.371141i | −0.922272 | − | 0.386543i | \(-0.873669\pi\) |
0.652622 | + | 0.757684i | \(0.273669\pi\) | |||||||
\(150\) | −14.8098 | + | 3.04866i | −1.20922 | + | 0.248922i | ||||
\(151\) | −0.647227 | + | 0.210297i | −0.0526706 | + | 0.0171137i | −0.335234 | − | 0.942135i | \(-0.608815\pi\) |
0.282563 | + | 0.959249i | \(0.408815\pi\) | |||||||
\(152\) | 0.148466 | − | 0.107867i | 0.0120422 | − | 0.00874915i | ||||
\(153\) | 37.5521i | 3.03590i | ||||||||
\(154\) | −8.74243 | + | 0.754935i | −0.704485 | + | 0.0608344i | ||||
\(155\) | −8.68076 | − | 5.04907i | −0.697256 | − | 0.405551i | ||||
\(156\) | 0.972667 | + | 1.33876i | 0.0778757 | + | 0.107187i | ||||
\(157\) | −7.09516 | − | 21.8367i | −0.566256 | − | 1.74276i | −0.664191 | − | 0.747563i | \(-0.731224\pi\) |
0.0979350 | − | 0.995193i | \(-0.468776\pi\) | |||||||
\(158\) | −3.62321 | − | 1.17725i | −0.288247 | − | 0.0936570i | ||||
\(159\) | 23.7495 | − | 32.6884i | 1.88346 | − | 2.59236i | ||||
\(160\) | −2.04566 | + | 0.902928i | −0.161724 | + | 0.0713827i | ||||
\(161\) | −1.62778 | + | 21.1079i | −0.128287 | + | 1.66353i | ||||
\(162\) | −3.19088 | − | 9.82051i | −0.250699 | − | 0.771572i | ||||
\(163\) | −9.87785 | − | 13.5957i | −0.773693 | − | 1.06490i | −0.995950 | − | 0.0899093i | \(-0.971342\pi\) |
0.222257 | − | 0.974988i | \(-0.428658\pi\) | |||||||
\(164\) | 11.1424 | 0.870076 | ||||||||
\(165\) | 5.86549 | + | 21.6465i | 0.456628 | + | 1.68518i | ||||
\(166\) | − | 5.34535i | − | 0.414880i | ||||||
\(167\) | 11.9390 | + | 16.4326i | 0.923868 | + | 1.27160i | 0.962204 | + | 0.272331i | \(0.0877945\pi\) |
−0.0383353 | + | 0.999265i | \(0.512206\pi\) | |||||||
\(168\) | −6.81532 | + | 4.19121i | −0.525814 | + | 0.323359i | ||||
\(169\) | 3.92469 | − | 12.0790i | 0.301899 | − | 0.929150i | ||||
\(170\) | −5.51780 | − | 12.5010i | −0.423196 | − | 0.958786i | ||||
\(171\) | −0.912321 | − | 0.662840i | −0.0697669 | − | 0.0506886i | ||||
\(172\) | −0.682545 | + | 2.10066i | −0.0520435 | + | 0.160174i | ||||
\(173\) | 12.2105 | − | 3.96744i | 0.928349 | − | 0.301639i | 0.194462 | − | 0.980910i | \(-0.437704\pi\) |
0.733887 | + | 0.679271i | \(0.237704\pi\) | |||||||
\(174\) | 8.97158 | + | 12.3483i | 0.680134 | + | 0.936124i | ||||
\(175\) | 9.63982 | − | 9.05946i | 0.728702 | − | 0.684831i | ||||
\(176\) | 1.52349 | + | 2.94601i | 0.114838 | + | 0.222064i | ||||
\(177\) | 17.7945i | 1.33751i | ||||||||
\(178\) | 0.897797 | + | 1.23571i | 0.0672928 | + | 0.0926205i | ||||
\(179\) | −1.54764 | − | 4.76313i | −0.115676 | − | 0.356013i | 0.876412 | − | 0.481563i | \(-0.159931\pi\) |
−0.992087 | + | 0.125549i | \(0.959931\pi\) | |||||||
\(180\) | 9.16143 | + | 10.2407i | 0.682853 | + | 0.763299i | ||||
\(181\) | 8.77710 | − | 12.0806i | 0.652397 | − | 0.897947i | −0.346803 | − | 0.937938i | \(-0.612733\pi\) |
0.999200 | + | 0.0399908i | \(0.0127329\pi\) | |||||||
\(182\) | −1.33845 | − | 0.551934i | −0.0992122 | − | 0.0409121i | ||||
\(183\) | 4.59843 | − | 14.1525i | 0.339925 | − | 1.04618i | ||||
\(184\) | 7.61008 | − | 2.47267i | 0.561023 | − | 0.182287i | ||||
\(185\) | 10.5977 | − | 1.07947i | 0.779158 | − | 0.0793644i | ||||
\(186\) | 13.5813i | 0.995831i | ||||||||
\(187\) | −18.0031 | + | 9.31007i | −1.31652 | + | 0.680820i | ||||
\(188\) | 0.0575355 | 0.00419621 | ||||||||
\(189\) | 19.1597 | + | 16.3118i | 1.39366 | + | 1.18651i | ||||
\(190\) | 0.401106 | + | 0.0866047i | 0.0290993 | + | 0.00628297i | ||||
\(191\) | 2.34919 | − | 7.23006i | 0.169981 | − | 0.523149i | −0.829387 | − | 0.558674i | \(-0.811310\pi\) |
0.999369 | + | 0.0355249i | \(0.0113103\pi\) | |||||||
\(192\) | 2.44652 | + | 1.77750i | 0.176563 | + | 0.128280i | ||||
\(193\) | −17.6808 | − | 12.8459i | −1.27269 | − | 0.924666i | −0.273387 | − | 0.961904i | \(-0.588144\pi\) |
−0.999306 | + | 0.0372384i | \(0.988144\pi\) | |||||||
\(194\) | 3.42529 | − | 10.5420i | 0.245922 | − | 0.756869i | ||||
\(195\) | −0.780941 | + | 3.61690i | −0.0559243 | + | 0.259011i | ||||
\(196\) | 3.15827 | − | 6.24703i | 0.225591 | − | 0.446216i | ||||
\(197\) | 11.3983 | 0.812098 | 0.406049 | − | 0.913851i | \(-0.366906\pi\) | ||||
0.406049 | + | 0.913851i | \(0.366906\pi\) | |||||||
\(198\) | 14.3242 | − | 14.4978i | 1.01798 | − | 1.03032i | ||||
\(199\) | 26.1676i | 1.85497i | 0.373862 | + | 0.927484i | \(0.378033\pi\) | ||||
−0.373862 | + | 0.927484i | \(0.621967\pi\) | |||||||
\(200\) | −4.55457 | − | 2.06297i | −0.322057 | − | 0.145874i | ||||
\(201\) | −27.6556 | + | 8.98585i | −1.95068 | + | 0.633813i | ||||
\(202\) | 3.97480 | − | 12.2332i | 0.279666 | − | 0.860723i | ||||
\(203\) | −12.3454 | − | 5.09087i | −0.866478 | − | 0.357309i | ||||
\(204\) | −10.8623 | + | 14.9507i | −0.760515 | + | 1.04676i | ||||
\(205\) | 16.6120 | + | 18.5690i | 1.16023 | + | 1.29692i | ||||
\(206\) | −2.59604 | − | 7.98980i | −0.180875 | − | 0.556675i | ||||
\(207\) | −28.9016 | − | 39.7797i | −2.00880 | − | 2.76488i | ||||
\(208\) | 0.547210i | 0.0379422i | ||||||||
\(209\) | 0.0915899 | − | 0.601716i | 0.00633541 | − | 0.0416216i | ||||
\(210\) | −17.1456 | − | 5.10926i | −1.18316 | − | 0.352573i | ||||
\(211\) | −9.81992 | − | 13.5160i | −0.676031 | − | 0.930477i | 0.323847 | − | 0.946110i | \(-0.395024\pi\) |
−0.999878 | + | 0.0156326i | \(0.995024\pi\) | |||||||
\(212\) | 12.7072 | − | 4.12883i | 0.872736 | − | 0.283569i | ||||
\(213\) | 0.308221 | − | 0.948608i | 0.0211190 | − | 0.0649975i | ||||
\(214\) | 2.05259 | + | 1.49129i | 0.140312 | + | 0.101943i | ||||
\(215\) | −4.51837 | + | 1.99435i | −0.308150 | + | 0.136014i | ||||
\(216\) | 2.93895 | − | 9.04517i | 0.199970 | − | 0.615446i | ||||
\(217\) | −6.22442 | − | 10.1215i | −0.422541 | − | 0.687093i | ||||
\(218\) | 7.77379 | + | 10.6997i | 0.526508 | + | 0.724676i | ||||
\(219\) | 22.2085i | 1.50071i | ||||||||
\(220\) | −2.63823 | + | 6.93107i | −0.177870 | + | 0.467293i | ||||
\(221\) | −3.34400 | −0.224942 | ||||||||
\(222\) | −8.46794 | − | 11.6551i | −0.568331 | − | 0.782241i | ||||
\(223\) | 4.14293 | + | 12.7506i | 0.277431 | + | 0.853846i | 0.988566 | + | 0.150790i | \(0.0481817\pi\) |
−0.711134 | + | 0.703056i | \(0.751818\pi\) | |||||||
\(224\) | −2.63792 | − | 0.203429i | −0.176253 | − | 0.0135922i | ||||
\(225\) | −3.40778 | + | 30.5354i | −0.227185 | + | 2.03569i | ||||
\(226\) | −2.04821 | + | 2.81912i | −0.136245 | + | 0.187525i | ||||
\(227\) | −1.47387 | − | 0.478890i | −0.0978244 | − | 0.0317851i | 0.259696 | − | 0.965690i | \(-0.416378\pi\) |
−0.357520 | + | 0.933905i | \(0.616378\pi\) | |||||||
\(228\) | −0.171492 | − | 0.527797i | −0.0113573 | − | 0.0349542i | ||||
\(229\) | 6.26824 | + | 8.62749i | 0.414217 | + | 0.570121i | 0.964241 | − | 0.265028i | \(-0.0853813\pi\) |
−0.550024 | + | 0.835149i | \(0.685381\pi\) | |||||||
\(230\) | 15.4664 | + | 8.99589i | 1.01983 | + | 0.593171i | ||||
\(231\) | −5.99846 | + | 25.8492i | −0.394670 | + | 1.70075i | ||||
\(232\) | 5.04730i | 0.331371i | ||||||||
\(233\) | −5.49919 | + | 3.99540i | −0.360264 | + | 0.261747i | −0.753162 | − | 0.657835i | \(-0.771473\pi\) |
0.392898 | + | 0.919582i | \(0.371473\pi\) | |||||||
\(234\) | 3.19802 | − | 1.03910i | 0.209061 | − | 0.0679281i | ||||
\(235\) | 0.0857784 | + | 0.0958839i | 0.00559557 | + | 0.00625478i | ||||
\(236\) | −3.45869 | + | 4.76048i | −0.225142 | + | 0.309881i | ||||
\(237\) | −6.77169 | + | 9.32043i | −0.439868 | + | 0.605427i | ||||
\(238\) | 1.24316 | − | 16.1203i | 0.0805818 | − | 1.04493i | ||||
\(239\) | −6.84232 | + | 2.22320i | −0.442593 | + | 0.143807i | −0.521832 | − | 0.853049i | \(-0.674751\pi\) |
0.0792388 | + | 0.996856i | \(0.474751\pi\) | |||||||
\(240\) | 0.685229 | + | 6.72721i | 0.0442313 | + | 0.434240i | ||||
\(241\) | −18.9473 | −1.22051 | −0.610253 | − | 0.792207i | \(-0.708932\pi\) | ||||
−0.610253 | + | 0.792207i | \(0.708932\pi\) | |||||||
\(242\) | 10.5018 | + | 3.27289i | 0.675082 | + | 0.210389i | ||||
\(243\) | −2.69426 | −0.172837 | ||||||||
\(244\) | 3.98101 | − | 2.89237i | 0.254858 | − | 0.185165i | ||||
\(245\) | 15.1194 | − | 4.05024i | 0.965942 | − | 0.258760i | ||||
\(246\) | 10.4125 | − | 32.0462i | 0.663874 | − | 2.04319i | ||||
\(247\) | 0.0590257 | − | 0.0812420i | 0.00375572 | − | 0.00516930i | ||||
\(248\) | −2.63979 | + | 3.63336i | −0.167627 | + | 0.230718i | ||||
\(249\) | −15.3735 | − | 4.99517i | −0.974259 | − | 0.316556i | ||||
\(250\) | −3.35234 | − | 10.6659i | −0.212021 | − | 0.674572i | ||||
\(251\) | −12.5752 | − | 17.3083i | −0.793739 | − | 1.09249i | −0.993632 | − | 0.112670i | \(-0.964060\pi\) |
0.199894 | − | 0.979818i | \(-0.435940\pi\) | |||||||
\(252\) | 3.82027 | + | 15.8029i | 0.240655 | + | 0.995489i | ||||
\(253\) | 11.9056 | − | 23.7183i | 0.748501 | − | 1.49116i | ||||
\(254\) | 19.7028 | 1.23626 | ||||||||
\(255\) | −41.1100 | + | 4.18744i | −2.57441 | + | 0.262227i | ||||
\(256\) | 0.309017 | + | 0.951057i | 0.0193136 | + | 0.0594410i | ||||
\(257\) | −8.99513 | + | 27.6842i | −0.561101 | + | 1.72689i | 0.118160 | + | 0.992995i | \(0.462300\pi\) |
−0.679261 | + | 0.733896i | \(0.737700\pi\) | |||||||
\(258\) | 5.40378 | + | 3.92608i | 0.336425 | + | 0.244427i | ||||
\(259\) | 11.6524 | + | 4.80509i | 0.724044 | + | 0.298574i | ||||
\(260\) | −0.911935 | + | 0.815823i | −0.0565558 | + | 0.0505952i | ||||
\(261\) | 29.4976 | − | 9.58434i | 1.82585 | − | 0.593255i | ||||
\(262\) | −8.49922 | + | 6.17505i | −0.525084 | + | 0.381496i | ||||
\(263\) | −7.06518 | −0.435658 | −0.217829 | − | 0.975987i | \(-0.569897\pi\) | ||||
−0.217829 | + | 0.975987i | \(0.569897\pi\) | |||||||
\(264\) | 9.89658 | − | 1.62864i | 0.609093 | − | 0.100236i | ||||
\(265\) | 25.8257 | + | 15.0212i | 1.58646 | + | 0.922747i | ||||
\(266\) | 0.369698 | + | 0.314746i | 0.0226676 | + | 0.0192983i | ||||
\(267\) | 4.39296 | − | 1.42736i | 0.268845 | − | 0.0873530i | ||||
\(268\) | −9.14516 | − | 2.97144i | −0.558630 | − | 0.181510i | ||||
\(269\) | 0.506012 | − | 0.696466i | 0.0308521 | − | 0.0424643i | −0.793312 | − | 0.608815i | \(-0.791645\pi\) |
0.824164 | + | 0.566351i | \(0.191645\pi\) | |||||||
\(270\) | 19.4556 | − | 8.58743i | 1.18403 | − | 0.522614i | ||||
\(271\) | −4.00444 | + | 12.3244i | −0.243253 | + | 0.748655i | 0.752666 | + | 0.658402i | \(0.228767\pi\) |
−0.995919 | + | 0.0902525i | \(0.971233\pi\) | |||||||
\(272\) | −5.81191 | + | 1.88841i | −0.352399 | + | 0.114501i | ||||
\(273\) | −2.83816 | + | 3.33367i | −0.171773 | + | 0.201763i | ||||
\(274\) | 3.65073i | 0.220549i | ||||||||
\(275\) | −15.4840 | + | 5.93672i | −0.933723 | + | 0.357998i | ||||
\(276\) | − | 24.1977i | − | 1.45653i | ||||||
\(277\) | 6.92017 | − | 5.02780i | 0.415793 | − | 0.302091i | −0.360150 | − | 0.932894i | \(-0.617274\pi\) |
0.775943 | + | 0.630803i | \(0.217274\pi\) | |||||||
\(278\) | 0.675103 | + | 2.07775i | 0.0404900 | + | 0.124615i | ||||
\(279\) | 26.2469 | + | 8.52813i | 1.57136 | + | 0.510566i | ||||
\(280\) | −3.59380 | − | 4.69943i | −0.214771 | − | 0.280844i | ||||
\(281\) | −15.8666 | + | 21.8385i | −0.946521 | + | 1.30277i | 0.00653485 | + | 0.999979i | \(0.497920\pi\) |
−0.953056 | + | 0.302795i | \(0.902080\pi\) | |||||||
\(282\) | 0.0537662 | − | 0.165475i | 0.00320173 | − | 0.00985392i | ||||
\(283\) | −2.70732 | + | 0.879660i | −0.160933 | + | 0.0522904i | −0.388376 | − | 0.921501i | \(-0.626964\pi\) |
0.227442 | + | 0.973792i | \(0.426964\pi\) | |||||||
\(284\) | 0.266837 | − | 0.193869i | 0.0158339 | − | 0.0115040i | ||||
\(285\) | 0.623909 | − | 1.07267i | 0.0369572 | − | 0.0635398i | ||||
\(286\) | 1.29103 | + | 1.27557i | 0.0763401 | + | 0.0754258i | ||||
\(287\) | 6.92712 | + | 28.6546i | 0.408895 | + | 1.69143i | ||||
\(288\) | 4.97140 | − | 3.61193i | 0.292942 | − | 0.212835i | ||||
\(289\) | −6.28677 | − | 19.3487i | −0.369810 | − | 1.13816i | ||||
\(290\) | −8.41141 | + | 7.52490i | −0.493935 | + | 0.441878i | ||||
\(291\) | −27.1184 | − | 19.7027i | −1.58971 | − | 1.15499i | ||||
\(292\) | −4.31665 | + | 5.94136i | −0.252613 | + | 0.347692i | ||||
\(293\) | −10.9571 | − | 3.56019i | −0.640123 | − | 0.207989i | −0.0290691 | − | 0.999577i | \(-0.509254\pi\) |
−0.611054 | + | 0.791589i | \(0.709254\pi\) | |||||||
\(294\) | −15.0154 | − | 14.9211i | −0.875719 | − | 0.870219i | ||||
\(295\) | −13.0899 | + | 1.33333i | −0.762124 | + | 0.0776294i | ||||
\(296\) | − | 4.76396i | − | 0.276899i | ||||||
\(297\) | −14.4894 | − | 28.0185i | −0.840761 | − | 1.62580i | ||||
\(298\) | 5.59983i | 0.324389i | ||||||||
\(299\) | 3.54237 | − | 2.57369i | 0.204861 | − | 0.148840i | ||||
\(300\) | −10.1894 | + | 11.1714i | −0.588287 | + | 0.644981i | ||||
\(301\) | −5.82653 | − | 0.449326i | −0.335836 | − | 0.0258987i | ||||
\(302\) | −0.400008 | + | 0.550564i | −0.0230179 | + | 0.0316814i | ||||
\(303\) | −31.4689 | − | 22.8635i | −1.80784 | − | 1.31348i | ||||
\(304\) | 0.0567089 | − | 0.174532i | 0.00325248 | − | 0.0100101i | ||||
\(305\) | 10.7554 | + | 2.32224i | 0.615852 | + | 0.132971i | ||||
\(306\) | 22.0725 | + | 30.3803i | 1.26180 | + | 1.73672i | ||||
\(307\) | 8.19451i | 0.467686i | 0.972274 | + | 0.233843i | \(0.0751301\pi\) | ||||
−0.972274 | + | 0.233843i | \(0.924870\pi\) | |||||||
\(308\) | −6.62903 | + | 5.74943i | −0.377724 | + | 0.327604i | ||||
\(309\) | −25.4051 | −1.44525 | ||||||||
\(310\) | −9.99066 | + | 1.01764i | −0.567431 | + | 0.0577981i | ||||
\(311\) | −14.3278 | + | 4.65539i | −0.812456 | + | 0.263983i | −0.685637 | − | 0.727943i | \(-0.740476\pi\) |
−0.126818 | + | 0.991926i | \(0.540476\pi\) | |||||||
\(312\) | 1.57381 | + | 0.511361i | 0.0890993 | + | 0.0289501i | ||||
\(313\) | 14.0535 | + | 10.2105i | 0.794352 | + | 0.577131i | 0.909252 | − | 0.416247i | \(-0.136655\pi\) |
−0.114900 | + | 0.993377i | \(0.536655\pi\) | |||||||
\(314\) | −18.5754 | − | 13.4958i | −1.04827 | − | 0.761612i | ||||
\(315\) | −20.6402 | + | 29.9268i | −1.16295 | + | 1.68618i | ||||
\(316\) | −3.62321 | + | 1.17725i | −0.203821 | + | 0.0662255i | ||||
\(317\) | 4.74691 | + | 6.53356i | 0.266613 | + | 0.366961i | 0.921243 | − | 0.388988i | \(-0.127175\pi\) |
−0.654630 | + | 0.755950i | \(0.727175\pi\) | |||||||
\(318\) | − | 40.4051i | − | 2.26581i | ||||||
\(319\) | 11.9081 | + | 11.7654i | 0.666723 | + | 0.658738i | ||||
\(320\) | −1.12425 | + | 1.93289i | −0.0628472 | + | 0.108052i | ||||
\(321\) | 6.20716 | − | 4.50977i | 0.346450 | − | 0.251711i | ||||
\(322\) | 11.0900 | + | 18.0334i | 0.618021 | + | 1.00496i | ||||
\(323\) | 1.06657 | + | 0.346549i | 0.0593454 | + | 0.0192825i | ||||
\(324\) | −8.35383 | − | 6.06941i | −0.464102 | − | 0.337190i | ||||
\(325\) | −2.71917 | − | 0.303462i | −0.150832 | − | 0.0168330i | ||||
\(326\) | −15.9827 | − | 5.19310i | −0.885200 | − | 0.287619i | ||||
\(327\) | 38.0375 | − | 12.3591i | 2.10348 | − | 0.683462i | ||||
\(328\) | 9.01440 | − | 6.54934i | 0.497737 | − | 0.361627i | ||||
\(329\) | 0.0357692 | + | 0.147962i | 0.00197202 | + | 0.00815743i | ||||
\(330\) | 17.4688 | + | 14.0647i | 0.961624 | + | 0.774238i | ||||
\(331\) | 28.1074 | 1.54492 | 0.772460 | − | 0.635063i | \(-0.219026\pi\) | ||||
0.772460 | + | 0.635063i | \(0.219026\pi\) | |||||||
\(332\) | −3.14192 | − | 4.32448i | −0.172435 | − | 0.237337i | ||||
\(333\) | −27.8417 | + | 9.04630i | −1.52571 | + | 0.495734i | ||||
\(334\) | 19.3177 | + | 6.27671i | 1.05702 | + | 0.343446i | ||||
\(335\) | −8.68237 | − | 19.6706i | −0.474368 | − | 1.07472i | ||||
\(336\) | −3.05018 | + | 7.39671i | −0.166401 | + | 0.403524i | ||||
\(337\) | −7.35825 | + | 22.6464i | −0.400829 | + | 1.23363i | 0.523499 | + | 0.852027i | \(0.324627\pi\) |
−0.924328 | + | 0.381599i | \(0.875373\pi\) | |||||||
\(338\) | −3.92469 | − | 12.0790i | −0.213475 | − | 0.657008i | ||||
\(339\) | 6.19393 | + | 8.52521i | 0.336408 | + | 0.463026i | ||||
\(340\) | −11.8119 | − | 6.87027i | −0.640591 | − | 0.372593i | ||||
\(341\) | 2.41871 | + | 14.6975i | 0.130981 | + | 0.795915i | ||||
\(342\) | −1.12769 | −0.0609785 | ||||||||
\(343\) | 18.0288 | + | 4.23833i | 0.973462 | + | 0.228848i | ||||
\(344\) | 0.682545 | + | 2.10066i | 0.0368003 | + | 0.113260i | ||||
\(345\) | 40.3259 | − | 36.0759i | 2.17108 | − | 1.94226i | ||||
\(346\) | 7.54652 | − | 10.3869i | 0.405704 | − | 0.558403i | ||||
\(347\) | 29.0544 | + | 21.1093i | 1.55972 | + | 1.13320i | 0.936237 | + | 0.351369i | \(0.114284\pi\) |
0.623485 | + | 0.781835i | \(0.285716\pi\) | |||||||
\(348\) | 14.5163 | + | 4.71664i | 0.778156 | + | 0.252838i | ||||
\(349\) | −2.44948 | − | 7.53871i | −0.131117 | − | 0.403538i | 0.863848 | − | 0.503752i | \(-0.168047\pi\) |
−0.994966 | + | 0.100214i | \(0.968047\pi\) | |||||||
\(350\) | 2.47376 | − | 12.9954i | 0.132228 | − | 0.694634i | ||||
\(351\) | − | 5.20432i | − | 0.277786i | ||||||
\(352\) | 2.96415 | + | 1.48789i | 0.157990 | + | 0.0793046i | ||||
\(353\) | 3.28664 | 0.174930 | 0.0874652 | − | 0.996168i | \(-0.472123\pi\) | ||||
0.0874652 | + | 0.996168i | \(0.472123\pi\) | |||||||
\(354\) | 10.4593 | + | 14.3960i | 0.555906 | + | 0.765140i | ||||
\(355\) | 0.720908 | + | 0.155654i | 0.0382618 | + | 0.00826128i | ||||
\(356\) | 1.45267 | + | 0.472000i | 0.0769912 | + | 0.0250160i | ||||
\(357\) | −45.2013 | − | 18.6397i | −2.39231 | − | 0.986515i | ||||
\(358\) | −4.05176 | − | 2.94378i | −0.214142 | − | 0.155584i | ||||
\(359\) | −19.1842 | − | 6.23332i | −1.01250 | − | 0.328982i | −0.244652 | − | 0.969611i | \(-0.578674\pi\) |
−0.767851 | + | 0.640629i | \(0.778674\pi\) | |||||||
\(360\) | 13.4311 | + | 2.89997i | 0.707881 | + | 0.152842i | ||||
\(361\) | 15.3441 | − | 11.1481i | 0.807583 | − | 0.586743i | ||||
\(362\) | − | 14.9325i | − | 0.784834i | ||||||
\(363\) | 19.2269 | − | 27.1454i | 1.00915 | − | 1.42476i | ||||
\(364\) | −1.40724 | + | 0.340195i | −0.0737597 | + | 0.0178310i | ||||
\(365\) | −16.3370 | + | 1.66407i | −0.855116 | + | 0.0871015i | ||||
\(366\) | −4.59843 | − | 14.1525i | −0.240364 | − | 0.739763i | ||||
\(367\) | 6.38721 | − | 19.6578i | 0.333410 | − | 1.02613i | −0.634091 | − | 0.773259i | \(-0.718625\pi\) |
0.967500 | − | 0.252870i | \(-0.0813746\pi\) | |||||||
\(368\) | 4.70329 | − | 6.47352i | 0.245176 | − | 0.337456i | ||||
\(369\) | −55.3934 | − | 40.2456i | −2.88366 | − | 2.09510i | ||||
\(370\) | 7.93922 | − | 7.10248i | 0.412740 | − | 0.369240i | ||||
\(371\) | 18.5180 | + | 30.1120i | 0.961404 | + | 1.56334i | ||||
\(372\) | 7.98290 | + | 10.9875i | 0.413894 | + | 0.569676i | ||||
\(373\) | 9.53934 | 0.493928 | 0.246964 | − | 0.969025i | \(-0.420567\pi\) | ||||
0.246964 | + | 0.969025i | \(0.420567\pi\) | |||||||
\(374\) | −9.09248 | + | 18.1140i | −0.470161 | + | 0.936650i | ||||
\(375\) | −33.8085 | − | 0.325651i | −1.74587 | − | 0.0168166i | ||||
\(376\) | 0.0465472 | − | 0.0338185i | 0.00240049 | − | 0.00174406i | ||||
\(377\) | 0.853483 | + | 2.62675i | 0.0439566 | + | 0.135285i | ||||
\(378\) | 25.0883 | + | 1.93474i | 1.29040 | + | 0.0995124i | ||||
\(379\) | 15.6278 | + | 11.3542i | 0.802744 | + | 0.583227i | 0.911718 | − | 0.410817i | \(-0.134757\pi\) |
−0.108974 | + | 0.994045i | \(0.534757\pi\) | |||||||
\(380\) | 0.375407 | − | 0.165700i | 0.0192580 | − | 0.00850022i | ||||
\(381\) | 18.4120 | − | 56.6663i | 0.943276 | − | 2.90310i | ||||
\(382\) | −2.34919 | − | 7.23006i | −0.120195 | − | 0.369922i | ||||
\(383\) | −8.21622 | + | 5.96944i | −0.419829 | + | 0.305024i | −0.777569 | − | 0.628797i | \(-0.783547\pi\) |
0.357740 | + | 0.933821i | \(0.383547\pi\) | |||||||
\(384\) | 3.02407 | 0.154321 | ||||||||
\(385\) | −19.4646 | − | 2.47570i | −0.992008 | − | 0.126174i | ||||
\(386\) | −21.8547 | −1.11237 | ||||||||
\(387\) | 10.9806 | − | 7.97789i | 0.558177 | − | 0.405539i | ||||
\(388\) | −3.42529 | − | 10.5420i | −0.173893 | − | 0.535187i | ||||
\(389\) | −5.65907 | + | 17.4168i | −0.286926 | + | 0.883068i | 0.698889 | + | 0.715230i | \(0.253678\pi\) |
−0.985815 | + | 0.167837i | \(0.946322\pi\) | |||||||
\(390\) | 1.49416 | + | 3.38516i | 0.0756599 | + | 0.171414i | ||||
\(391\) | 39.5597 | + | 28.7418i | 2.00062 | + | 1.45354i | ||||
\(392\) | −1.11681 | − | 6.91033i | −0.0564076 | − | 0.349025i | ||||
\(393\) | 9.81738 | + | 30.2148i | 0.495221 | + | 1.52413i | ||||
\(394\) | 9.22145 | − | 6.69978i | 0.464570 | − | 0.337530i | ||||
\(395\) | −7.36367 | − | 4.28300i | −0.370506 | − | 0.215501i | ||||
\(396\) | 3.06690 | − | 20.1485i | 0.154118 | − | 1.01250i | ||||
\(397\) | 14.0720 | 0.706255 | 0.353127 | − | 0.935575i | \(-0.385118\pi\) | ||||
0.353127 | + | 0.935575i | \(0.385118\pi\) | |||||||
\(398\) | 15.3809 | + | 21.1700i | 0.770975 | + | 1.06116i | ||||
\(399\) | 1.25071 | − | 0.769146i | 0.0626136 | − | 0.0385055i | ||||
\(400\) | −4.89731 | + | 1.00813i | −0.244866 | + | 0.0504066i | ||||
\(401\) | 12.3390 | + | 8.96478i | 0.616178 | + | 0.447680i | 0.851584 | − | 0.524217i | \(-0.175642\pi\) |
−0.235406 | + | 0.971897i | \(0.575642\pi\) | |||||||
\(402\) | −17.0921 | + | 23.5253i | −0.852476 | + | 1.17333i | ||||
\(403\) | −0.759428 | + | 2.33728i | −0.0378298 | + | 0.116428i | ||||
\(404\) | −3.97480 | − | 12.2332i | −0.197754 | − | 0.608623i | ||||
\(405\) | −2.33976 | − | 22.9706i | −0.116264 | − | 1.14142i | ||||
\(406\) | −12.9800 | + | 3.13785i | −0.644186 | + | 0.155729i | ||||
\(407\) | −11.2396 | − | 11.1050i | −0.557125 | − | 0.550452i | ||||
\(408\) | 18.4801i | 0.914901i | ||||||||
\(409\) | 13.6177 | − | 9.89386i | 0.673353 | − | 0.489220i | −0.197793 | − | 0.980244i | \(-0.563377\pi\) |
0.871146 | + | 0.491024i | \(0.163377\pi\) | |||||||
\(410\) | 24.3540 | + | 5.25838i | 1.20276 | + | 0.259693i | ||||
\(411\) | 10.4997 | + | 3.41157i | 0.517913 | + | 0.168280i | ||||
\(412\) | −6.79653 | − | 4.93796i | −0.334841 | − | 0.243276i | ||||
\(413\) | −14.3926 | − | 5.93508i | −0.708215 | − | 0.292046i | ||||
\(414\) | −46.7639 | − | 15.1945i | −2.29832 | − | 0.746769i | ||||
\(415\) | 2.52260 | − | 11.6833i | 0.123830 | − | 0.573512i | ||||
\(416\) | 0.321642 | + | 0.442702i | 0.0157698 | + | 0.0217053i | ||||
\(417\) | 6.60662 | 0.323528 | ||||||||
\(418\) | −0.279582 | − | 0.540634i | −0.0136748 | − | 0.0264433i | ||||
\(419\) | − | 29.0361i | − | 1.41851i | −0.704954 | − | 0.709253i | \(-0.749032\pi\) | ||
0.704954 | − | 0.709253i | \(-0.250968\pi\) | |||||||
\(420\) | −16.8742 | + | 5.94442i | −0.823376 | + | 0.290058i | ||||
\(421\) | 6.74259 | + | 20.7516i | 0.328614 | + | 1.01137i | 0.969783 | + | 0.243970i | \(0.0784498\pi\) |
−0.641169 | + | 0.767400i | \(0.721550\pi\) | |||||||
\(422\) | −15.8890 | − | 5.16264i | −0.773463 | − | 0.251313i | ||||
\(423\) | −0.286032 | − | 0.207814i | −0.0139073 | − | 0.0101043i | ||||
\(424\) | 7.85350 | − | 10.8094i | 0.381400 | − | 0.524952i | ||||
\(425\) | −6.16070 | − | 29.9275i | −0.298838 | − | 1.45170i | ||||
\(426\) | −0.308221 | − | 0.948608i | −0.0149334 | − | 0.0459602i | ||||
\(427\) | 9.91318 | + | 8.43969i | 0.479732 | + | 0.408425i | ||||
\(428\) | 2.53714 | 0.122637 | ||||||||
\(429\) | 4.87506 | − | 2.52107i | 0.235370 | − | 0.121719i | ||||
\(430\) | −2.48319 | + | 4.26930i | −0.119750 | + | 0.205884i | ||||
\(431\) | 14.2378 | + | 19.5966i | 0.685810 | + | 0.943936i | 0.999985 | − | 0.00542877i | \(-0.00172804\pi\) |
−0.314176 | + | 0.949365i | \(0.601728\pi\) | |||||||
\(432\) | −2.93895 | − | 9.04517i | −0.141400 | − | 0.435186i | ||||
\(433\) | −2.20106 | + | 6.77417i | −0.105776 | + | 0.325546i | −0.989912 | − | 0.141685i | \(-0.954748\pi\) |
0.884136 | + | 0.467230i | \(0.154748\pi\) | |||||||
\(434\) | −10.9849 | − | 4.52985i | −0.527294 | − | 0.217440i | ||||
\(435\) | 13.7817 | + | 31.2236i | 0.660782 | + | 1.49706i | ||||
\(436\) | 12.5783 | + | 4.08693i | 0.602390 | + | 0.195728i | ||||
\(437\) | −1.39656 | + | 0.453768i | −0.0668063 | + | 0.0217067i | ||||
\(438\) | 13.0538 | + | 17.9671i | 0.623736 | + | 0.858500i | ||||
\(439\) | −15.6962 | −0.749141 | −0.374571 | − | 0.927198i | \(-0.622210\pi\) | ||||
−0.374571 | + | 0.927198i | \(0.622210\pi\) | |||||||
\(440\) | 1.93960 | + | 7.15807i | 0.0924670 | + | 0.341248i | ||||
\(441\) | −38.2649 | + | 19.6490i | −1.82214 | + | 0.935666i | ||||
\(442\) | −2.70536 | + | 1.96556i | −0.128681 | + | 0.0934919i | ||||
\(443\) | −37.1947 | + | 12.0853i | −1.76717 | + | 0.574190i | −0.997903 | − | 0.0647331i | \(-0.979380\pi\) |
−0.769271 | + | 0.638923i | \(0.779380\pi\) | |||||||
\(444\) | −13.7014 | − | 4.45186i | −0.650241 | − | 0.211276i | ||||
\(445\) | 1.37915 | + | 3.12459i | 0.0653781 | + | 0.148120i | ||||
\(446\) | 10.8463 | + | 7.88033i | 0.513589 | + | 0.373144i | ||||
\(447\) | 16.1054 | + | 5.23298i | 0.761761 | + | 0.247511i | ||||
\(448\) | −2.25369 | + | 1.38595i | −0.106477 | + | 0.0654801i | ||||
\(449\) | −26.4877 | + | 19.2444i | −1.25003 | + | 0.908200i | −0.998224 | − | 0.0595777i | \(-0.981025\pi\) |
−0.251806 | + | 0.967778i | \(0.581025\pi\) | |||||||
\(450\) | 15.1913 | + | 26.7067i | 0.716124 | + | 1.25896i | ||||
\(451\) | 5.56106 | − | 36.5344i | 0.261860 | − | 1.72034i | ||||
\(452\) | 3.48462i | 0.163903i | ||||||||
\(453\) | 1.20965 | + | 1.66494i | 0.0568344 | + | 0.0782258i | ||||
\(454\) | −1.47387 | + | 0.478890i | −0.0691723 | + | 0.0224754i | ||||
\(455\) | −2.66497 | − | 1.83801i | −0.124936 | − | 0.0861672i | ||||
\(456\) | −0.448971 | − | 0.326196i | −0.0210250 | − | 0.0152755i | ||||
\(457\) | −6.62484 | − | 4.81323i | −0.309897 | − | 0.225153i | 0.421955 | − | 0.906617i | \(-0.361344\pi\) |
−0.731852 | + | 0.681463i | \(0.761344\pi\) | |||||||
\(458\) | 10.1422 | + | 3.29541i | 0.473915 | + | 0.153984i | ||||
\(459\) | 55.2751 | − | 17.9600i | 2.58002 | − | 0.838299i | ||||
\(460\) | 17.8003 | − | 1.81312i | 0.829942 | − | 0.0845372i | ||||
\(461\) | −21.4665 | −0.999797 | −0.499898 | − | 0.866084i | \(-0.666629\pi\) | ||||
−0.499898 | + | 0.866084i | \(0.666629\pi\) | |||||||
\(462\) | 10.3409 | + | 24.4383i | 0.481104 | + | 1.13697i | ||||
\(463\) | 10.7819i | 0.501076i | 0.968107 | + | 0.250538i | \(0.0806074\pi\) | ||||
−0.968107 | + | 0.250538i | \(0.919393\pi\) | |||||||
\(464\) | 2.96673 | + | 4.08335i | 0.137727 | + | 0.189565i | ||||
\(465\) | −6.40936 | + | 29.6847i | −0.297227 | + | 1.37659i | ||||
\(466\) | −2.10051 | + | 6.46469i | −0.0973040 | + | 0.299471i | ||||
\(467\) | −14.7633 | − | 10.7262i | −0.683164 | − | 0.496347i | 0.191242 | − | 0.981543i | \(-0.438748\pi\) |
−0.874406 | + | 0.485195i | \(0.838748\pi\) | |||||||
\(468\) | 1.97648 | − | 2.72040i | 0.0913630 | − | 0.125750i | ||||
\(469\) | 1.95613 | − | 25.3657i | 0.0903257 | − | 1.17128i | ||||
\(470\) | 0.125755 | + | 0.0271524i | 0.00580066 | + | 0.00125245i | ||||
\(471\) | −56.1732 | + | 40.8122i | −2.58832 | + | 1.88053i | ||||
\(472\) | 5.88428i | 0.270846i | ||||||||
\(473\) | 6.54710 | + | 3.28638i | 0.301036 | + | 0.151108i | ||||
\(474\) | 11.5207i | 0.529162i | ||||||||
\(475\) | 0.835828 | + | 0.378584i | 0.0383504 | + | 0.0173706i | ||||
\(476\) | −8.46957 | − | 13.7723i | −0.388202 | − | 0.631254i | ||||
\(477\) | −78.0858 | − | 25.3716i | −3.57530 | − | 1.16169i | ||||
\(478\) | −4.22878 | + | 5.82042i | −0.193420 | + | 0.266220i | ||||
\(479\) | 12.8918 | + | 9.36643i | 0.589041 | + | 0.427963i | 0.841972 | − | 0.539521i | \(-0.181395\pi\) |
−0.252931 | + | 0.967484i | \(0.581395\pi\) | |||||||
\(480\) | 4.50852 | + | 5.03966i | 0.205785 | + | 0.230028i | ||||
\(481\) | −0.805571 | − | 2.47929i | −0.0367309 | − | 0.113046i | ||||
\(482\) | −15.3287 | + | 11.1370i | −0.698204 | + | 0.507275i | ||||
\(483\) | 62.2286 | − | 15.0435i | 2.83150 | − | 0.684502i | ||||
\(484\) | 10.4199 | − | 3.52499i | 0.473632 | − | 0.160227i | ||||
\(485\) | 12.4617 | − | 21.4251i | 0.565856 | − | 0.972864i | ||||
\(486\) | −2.17971 | + | 1.58365i | −0.0988734 | + | 0.0718358i | ||||
\(487\) | −6.36839 | + | 2.06922i | −0.288579 | + | 0.0937651i | −0.449730 | − | 0.893165i | \(-0.648480\pi\) |
0.161150 | + | 0.986930i | \(0.448480\pi\) | |||||||
\(488\) | 1.52061 | − | 4.67995i | 0.0688347 | − | 0.211852i | ||||
\(489\) | −29.8713 | + | 41.1143i | −1.35083 | + | 1.85925i | ||||
\(490\) | 9.85116 | − | 12.1637i | 0.445030 | − | 0.549498i | ||||
\(491\) | −9.33984 | − | 3.03470i | −0.421501 | − | 0.136954i | 0.0905840 | − | 0.995889i | \(-0.471127\pi\) |
−0.512085 | + | 0.858935i | \(0.671127\pi\) | |||||||
\(492\) | −10.4125 | − | 32.0462i | −0.469430 | − | 1.44476i | ||||
\(493\) | −24.9534 | + | 18.1297i | −1.12384 | + | 0.816520i | ||||
\(494\) | − | 0.100421i | − | 0.00451814i | ||||||
\(495\) | 38.1503 | − | 24.9280i | 1.71473 | − | 1.12043i | ||||
\(496\) | 4.49108i | 0.201655i | ||||||||
\(497\) | 0.664457 | + | 0.565692i | 0.0298050 | + | 0.0253748i | ||||
\(498\) | −15.3735 | + | 4.99517i | −0.688905 | + | 0.223839i | ||||
\(499\) | 6.65825 | − | 20.4920i | 0.298064 | − | 0.917347i | −0.684111 | − | 0.729378i | \(-0.739810\pi\) |
0.982175 | − | 0.187969i | \(-0.0601904\pi\) | |||||||
\(500\) | −8.98137 | − | 6.65845i | −0.401659 | − | 0.297775i | ||||
\(501\) | 36.1044 | − | 49.6934i | 1.61302 | − | 2.22014i | ||||
\(502\) | −20.3471 | − | 6.61117i | −0.908135 | − | 0.295071i | ||||
\(503\) | −31.0787 | + | 10.0981i | −1.38573 | + | 0.450252i | −0.904550 | − | 0.426368i | \(-0.859793\pi\) |
−0.481183 | + | 0.876620i | \(0.659793\pi\) | |||||||
\(504\) | 12.3794 | + | 10.5393i | 0.551421 | + | 0.469458i | ||||
\(505\) | 14.4609 | − | 24.8623i | 0.643500 | − | 1.10636i | ||||
\(506\) | −4.30940 | − | 26.1865i | −0.191576 | − | 1.16413i | ||||
\(507\) | −38.4074 | −1.70573 | ||||||||
\(508\) | 15.9399 | − | 11.5810i | 0.707218 | − | 0.513824i | ||||
\(509\) | 7.58289 | − | 2.46383i | 0.336106 | − | 0.109207i | −0.136102 | − | 0.990695i | \(-0.543457\pi\) |
0.472207 | + | 0.881488i | \(0.343457\pi\) | |||||||
\(510\) | −30.7974 | + | 27.5516i | −1.36373 | + | 1.22000i | ||||
\(511\) | −17.9628 | − | 7.40733i | −0.794629 | − | 0.327681i | ||||
\(512\) | 0.809017 | + | 0.587785i | 0.0357538 | + | 0.0259767i | ||||
\(513\) | −0.539339 | + | 1.65991i | −0.0238124 | + | 0.0732870i | ||||
\(514\) | 8.99513 | + | 27.6842i | 0.396758 | + | 1.22110i | ||||
\(515\) | −1.90359 | − | 18.6884i | −0.0838822 | − | 0.823511i | ||||
\(516\) | 6.67944 | 0.294046 | ||||||||
\(517\) | 0.0287154 | − | 0.188651i | 0.00126290 | − | 0.00829685i | ||||
\(518\) | 12.2513 | − | 2.96170i | 0.538293 | − | 0.130130i | ||||
\(519\) | −22.8212 | − | 31.4107i | −1.00174 | − | 1.37878i | ||||
\(520\) | −0.258242 | + | 1.19604i | −0.0113247 | + | 0.0524497i | ||||
\(521\) | 19.2169 | + | 6.24394i | 0.841906 | + | 0.273552i | 0.698052 | − | 0.716047i | \(-0.254050\pi\) |
0.143854 | + | 0.989599i | \(0.454050\pi\) | |||||||
\(522\) | 18.2305 | − | 25.0921i | 0.797927 | − | 1.09825i | ||||
\(523\) | −14.1000 | + | 19.4069i | −0.616548 | + | 0.848606i | −0.997096 | − | 0.0761555i | \(-0.975735\pi\) |
0.380548 | + | 0.924761i | \(0.375735\pi\) | |||||||
\(524\) | −3.24641 | + | 9.99144i | −0.141820 | + | 0.436478i | ||||
\(525\) | −35.0639 | − | 19.2587i | −1.53031 | − | 0.840520i | ||||
\(526\) | −5.71585 | + | 4.15281i | −0.249223 | + | 0.181071i | ||||
\(527\) | −27.4450 | −1.19552 | ||||||||
\(528\) | 7.04921 | − | 7.13467i | 0.306778 | − | 0.310496i | ||||
\(529\) | −41.0274 | −1.78380 | ||||||||
\(530\) | 29.7227 | − | 3.02753i | 1.29107 | − | 0.131508i | ||||
\(531\) | 34.3891 | − | 11.1737i | 1.49236 | − | 0.484897i | ||||
\(532\) | 0.484095 | + | 0.0373320i | 0.0209882 | + | 0.00161855i | ||||
\(533\) | 3.58386 | − | 4.93277i | 0.155234 | − | 0.213662i | ||||
\(534\) | 2.71500 | − | 3.73688i | 0.117490 | − | 0.161711i | ||||
\(535\) | 3.78256 | + | 4.22818i | 0.163534 | + | 0.182800i | ||||
\(536\) | −9.14516 | + | 2.97144i | −0.395011 | + | 0.128347i | ||||
\(537\) | −12.2528 | + | 8.90219i | −0.528748 | + | 0.384158i | ||||
\(538\) | − | 0.860880i | − | 0.0371152i | ||||||
\(539\) | −18.9068 | − | 13.4734i | −0.814376 | − | 0.580338i | ||||
\(540\) | 10.6923 | − | 18.3831i | 0.460124 | − | 0.791081i | ||||
\(541\) | 8.10276 | + | 11.1525i | 0.348365 | + | 0.479483i | 0.946861 | − | 0.321642i | \(-0.104235\pi\) |
−0.598496 | + | 0.801126i | \(0.704235\pi\) | |||||||
\(542\) | 4.00444 | + | 12.3244i | 0.172006 | + | 0.529379i | ||||
\(543\) | −42.9467 | − | 13.9542i | −1.84302 | − | 0.598834i | ||||
\(544\) | −3.59196 | + | 4.94391i | −0.154004 | + | 0.211968i | ||||
\(545\) | 11.9417 | + | 27.0550i | 0.511528 | + | 1.15891i | ||||
\(546\) | −0.336634 | + | 4.36523i | −0.0144066 | + | 0.186814i | ||||
\(547\) | −1.52982 | − | 4.70831i | −0.0654105 | − | 0.201313i | 0.913010 | − | 0.407938i | \(-0.133752\pi\) |
−0.978420 | + | 0.206625i | \(0.933752\pi\) | |||||||
\(548\) | 2.14585 | + | 2.95350i | 0.0916660 | + | 0.126167i | ||||
\(549\) | −30.2382 | −1.29054 | ||||||||
\(550\) | −9.03733 | + | 13.9042i | −0.385353 | + | 0.592877i | ||||
\(551\) | − | 0.926249i | − | 0.0394595i | ||||||
\(552\) | −14.2231 | − | 19.5764i | −0.605374 | − | 0.833226i | ||||
\(553\) | −5.28001 | − | 8.58582i | −0.224529 | − | 0.365106i | ||||
\(554\) | 2.64327 | − | 8.13515i | 0.112302 | − | 0.345629i | ||||
\(555\) | −13.0081 | − | 29.4708i | −0.552161 | − | 1.25097i | ||||
\(556\) | 1.76744 | + | 1.28412i | 0.0749563 | + | 0.0544589i | ||||
\(557\) | −13.0157 | + | 40.0583i | −0.551494 | + | 1.69732i | 0.153532 | + | 0.988144i | \(0.450935\pi\) |
−0.705026 | + | 0.709181i | \(0.749065\pi\) | |||||||
\(558\) | 26.2469 | − | 8.52813i | 1.11112 | − | 0.361024i | ||||
\(559\) | 0.710430 | + | 0.977823i | 0.0300480 | + | 0.0413575i | ||||
\(560\) | −5.66970 | − | 1.68953i | −0.239588 | − | 0.0713958i | ||||
\(561\) | 43.6000 | + | 43.0778i | 1.84079 | + | 1.81875i | ||||
\(562\) | 26.9938i | 1.13867i | ||||||||
\(563\) | 17.1541 | + | 23.6105i | 0.722958 | + | 0.995066i | 0.999420 | + | 0.0340412i | \(0.0108377\pi\) |
−0.276463 | + | 0.961025i | \(0.589162\pi\) | |||||||
\(564\) | −0.0537662 | − | 0.165475i | −0.00226397 | − | 0.00696778i | ||||
\(565\) | −5.80719 | + | 5.19515i | −0.244310 | + | 0.218562i | ||||
\(566\) | −1.67321 | + | 2.30298i | −0.0703304 | + | 0.0968015i | ||||
\(567\) | 10.4151 | − | 25.2566i | 0.437391 | − | 1.06068i | ||||
\(568\) | 0.101923 | − | 0.313686i | 0.00427658 | − | 0.0131620i | ||||
\(569\) | 14.6092 | − | 4.74682i | 0.612449 | − | 0.198997i | 0.0136643 | − | 0.999907i | \(-0.495650\pi\) |
0.598785 | + | 0.800910i | \(0.295650\pi\) | |||||||
\(570\) | −0.125749 | − | 1.23454i | −0.00526704 | − | 0.0517091i | ||||
\(571\) | 21.3041i | 0.891548i | 0.895146 | + | 0.445774i | \(0.147072\pi\) | ||||
−0.895146 | + | 0.445774i | \(0.852928\pi\) | |||||||
\(572\) | 1.79422 | + | 0.273107i | 0.0750202 | + | 0.0114192i | ||||
\(573\) | −22.9894 | −0.960395 | ||||||||
\(574\) | 22.4469 | + | 19.1104i | 0.936917 | + | 0.797654i | ||||
\(575\) | 29.5596 | + | 26.9613i | 1.23272 | + | 1.12436i | ||||
\(576\) | 1.89891 | − | 5.84423i | 0.0791211 | − | 0.243510i | ||||
\(577\) | −3.60275 | − | 2.61755i | −0.149984 | − | 0.108970i | 0.510262 | − | 0.860019i | \(-0.329548\pi\) |
−0.660247 | + | 0.751049i | \(0.729548\pi\) | |||||||
\(578\) | −16.4590 | − | 11.9581i | −0.684603 | − | 0.497393i | ||||
\(579\) | −20.4230 | + | 62.8554i | −0.848749 | + | 2.61218i | ||||
\(580\) | −2.38194 | + | 11.0319i | −0.0989048 | + | 0.458074i | ||||
\(581\) | 9.16785 | − | 10.7685i | 0.380346 | − | 0.446751i | ||||
\(582\) | −33.5202 | −1.38946 | ||||||||
\(583\) | −7.19580 | − | 43.7259i | −0.298019 | − | 1.81094i | ||||
\(584\) | 7.34392i | 0.303894i | ||||||||
\(585\) | 7.48029 | − | 0.761936i | 0.309272 | − | 0.0315022i | ||||
\(586\) | −10.9571 | + | 3.56019i | −0.452636 | + | 0.147070i | ||||
\(587\) | −7.52973 | + | 23.1741i | −0.310785 | + | 0.956499i | 0.666669 | + | 0.745354i | \(0.267719\pi\) |
−0.977455 | + | 0.211145i | \(0.932281\pi\) | |||||||
\(588\) | −20.9182 | − | 3.24560i | −0.862651 | − | 0.133846i | ||||
\(589\) | 0.484438 | − | 0.666771i | 0.0199609 | − | 0.0274738i | ||||
\(590\) | −9.80625 | + | 8.77274i | −0.403717 | + | 0.361168i | ||||
\(591\) | −10.6516 | − | 32.7823i | −0.438149 | − | 1.34848i | ||||
\(592\) | −2.80018 | − | 3.85412i | −0.115087 | − | 0.158403i | ||||
\(593\) | − | 28.1425i | − | 1.15567i | −0.816153 | − | 0.577836i | \(-0.803897\pi\) | ||
0.816153 | − | 0.577836i | \(-0.196103\pi\) | |||||||
\(594\) | −28.1910 | − | 14.1508i | −1.15669 | − | 0.580613i | ||||
\(595\) | 10.3248 | − | 34.6476i | 0.423274 | − | 1.42041i | ||||
\(596\) | 3.29150 | + | 4.53036i | 0.134825 | + | 0.185571i | ||||
\(597\) | 75.2594 | − | 24.4533i | 3.08016 | − | 1.00081i | ||||
\(598\) | 1.35307 | − | 4.16431i | 0.0553310 | − | 0.170291i | ||||
\(599\) | 13.6082 | + | 9.88694i | 0.556016 | + | 0.403970i | 0.829999 | − | 0.557765i | \(-0.188341\pi\) |
−0.273982 | + | 0.961735i | \(0.588341\pi\) | |||||||
\(600\) | −1.67703 | + | 15.0270i | −0.0684646 | + | 0.613477i | ||||
\(601\) | 2.49492 | − | 7.67857i | 0.101770 | − | 0.313215i | −0.887189 | − | 0.461406i | \(-0.847345\pi\) |
0.988959 | + | 0.148191i | \(0.0473450\pi\) | |||||||
\(602\) | −4.97787 | + | 3.06124i | −0.202883 | + | 0.124767i | ||||
\(603\) | 34.7316 | + | 47.8039i | 1.41438 | + | 1.94673i | ||||
\(604\) | 0.680534i | 0.0276905i | ||||||||
\(605\) | 21.4093 | + | 12.1096i | 0.870411 | + | 0.492326i | ||||
\(606\) | −38.8978 | −1.58011 | ||||||||
\(607\) | −2.15762 | − | 2.96971i | −0.0875752 | − | 0.120537i | 0.762981 | − | 0.646420i | \(-0.223735\pi\) |
−0.850557 | + | 0.525884i | \(0.823735\pi\) | |||||||
\(608\) | −0.0567089 | − | 0.174532i | −0.00229985 | − | 0.00707821i | ||||
\(609\) | −3.10501 | + | 40.2635i | −0.125821 | + | 1.63156i | ||||
\(610\) | 10.0663 | − | 4.44312i | 0.407571 | − | 0.179897i | ||||
\(611\) | 0.0185058 | − | 0.0254711i | 0.000748665 | − | 0.00103045i | ||||
\(612\) | 35.7141 | + | 11.6042i | 1.44366 | + | 0.469073i | ||||
\(613\) | 13.8611 | + | 42.6600i | 0.559843 | + | 1.72302i | 0.682797 | + | 0.730608i | \(0.260763\pi\) |
−0.122953 | + | 0.992412i | \(0.539237\pi\) | |||||||
\(614\) | 4.81661 | + | 6.62950i | 0.194383 | + | 0.267545i | ||||
\(615\) | 37.8819 | − | 65.1296i | 1.52755 | − | 2.62628i | ||||
\(616\) | −1.98357 | + | 8.54783i | −0.0799204 | + | 0.344402i | ||||
\(617\) | − | 38.2963i | − | 1.54175i | −0.636987 | − | 0.770875i | \(-0.719819\pi\) | ||
0.636987 | − | 0.770875i | \(-0.280181\pi\) | |||||||
\(618\) | −20.5532 | + | 14.9327i | −0.826769 | + | 0.600683i | ||||
\(619\) | 0.797554 | − | 0.259141i | 0.0320564 | − | 0.0104158i | −0.292945 | − | 0.956129i | \(-0.594635\pi\) |
0.325001 | + | 0.945714i | \(0.394635\pi\) | |||||||
\(620\) | −7.48446 | + | 6.69565i | −0.300583 | + | 0.268904i | ||||
\(621\) | −44.7314 | + | 61.5674i | −1.79501 | + | 2.47062i | ||||
\(622\) | −8.85507 | + | 12.1880i | −0.355056 | + | 0.488693i | ||||
\(623\) | −0.310722 | + | 4.02922i | −0.0124488 | + | 0.161427i | ||||
\(624\) | 1.57381 | − | 0.511361i | 0.0630027 | − | 0.0204708i | ||||
\(625\) | −2.29370 | − | 24.8946i | −0.0917480 | − | 0.995782i | ||||
\(626\) | 17.3711 | 0.694289 | ||||||||
\(627\) | −1.81616 | + | 0.298878i | −0.0725305 | + | 0.0119361i | ||||
\(628\) | −22.9604 | −0.916221 | ||||||||
\(629\) | 23.5526 | − | 17.1119i | 0.939102 | − | 0.682298i | ||||
\(630\) | 0.892198 | + | 36.3433i | 0.0355460 | + | 1.44795i | ||||
\(631\) | 5.38408 | − | 16.5705i | 0.214337 | − | 0.659661i | −0.784863 | − | 0.619669i | \(-0.787267\pi\) |
0.999200 | − | 0.0399916i | \(-0.0127331\pi\) | |||||||
\(632\) | −2.23926 | + | 3.08208i | −0.0890731 | + | 0.122599i | ||||
\(633\) | −29.6961 | + | 40.8732i | −1.18031 | + | 1.62456i | ||||
\(634\) | 7.68066 | + | 2.49560i | 0.305038 | + | 0.0991129i | ||||
\(635\) | 43.0644 | + | 9.29822i | 1.70896 | + | 0.368989i | ||||
\(636\) | −23.7495 | − | 32.6884i | −0.941730 | − | 1.29618i | ||||
\(637\) | −1.74974 | − | 3.40748i | −0.0693272 | − | 0.135009i | ||||
\(638\) | 16.5494 | + | 2.51905i | 0.655196 | + | 0.0997303i | ||||
\(639\) | −2.02680 | −0.0801788 | ||||||||
\(640\) | 0.226592 | + | 2.22456i | 0.00895682 | + | 0.0879334i | ||||
\(641\) | 10.2392 | + | 31.5129i | 0.404422 | + | 1.24468i | 0.921377 | + | 0.388671i | \(0.127066\pi\) |
−0.516954 | + | 0.856013i | \(0.672934\pi\) | |||||||
\(642\) | 2.37093 | − | 7.29696i | 0.0935730 | − | 0.287988i | ||||
\(643\) | 7.87175 | + | 5.71916i | 0.310431 | + | 0.225542i | 0.732082 | − | 0.681217i | \(-0.238549\pi\) |
−0.421650 | + | 0.906759i | \(0.638549\pi\) | |||||||
\(644\) | 19.5718 | + | 8.07080i | 0.771236 | + | 0.318034i | ||||
\(645\) | 9.95824 | + | 11.1314i | 0.392105 | + | 0.438299i | ||||
\(646\) | 1.06657 | − | 0.346549i | 0.0419635 | − | 0.0136348i | ||||
\(647\) | 2.75076 | − | 1.99855i | 0.108144 | − | 0.0785710i | −0.532399 | − | 0.846493i | \(-0.678709\pi\) |
0.640543 | + | 0.767922i | \(0.278709\pi\) | |||||||
\(648\) | −10.3259 | −0.405640 | ||||||||
\(649\) | 13.8827 | + | 13.7165i | 0.544945 | + | 0.538418i | ||||
\(650\) | −2.37822 | + | 1.35278i | −0.0932816 | + | 0.0530604i | ||||
\(651\) | −23.2934 | + | 27.3602i | −0.912941 | + | 1.07233i | ||||
\(652\) | −15.9827 | + | 5.19310i | −0.625931 | + | 0.203377i | ||||
\(653\) | −21.7037 | − | 7.05197i | −0.849333 | − | 0.275965i | −0.148166 | − | 0.988962i | \(-0.547337\pi\) |
−0.701167 | + | 0.712997i | \(0.747337\pi\) | |||||||
\(654\) | 23.5085 | − | 32.3566i | 0.919254 | − | 1.26525i | ||||
\(655\) | −21.4909 | + | 9.48581i | −0.839720 | + | 0.370641i | ||||
\(656\) | 3.44319 | − | 10.5971i | 0.134434 | − | 0.413746i | ||||
\(657\) | 42.9196 | − | 13.9454i | 1.67445 | − | 0.544062i | ||||
\(658\) | 0.115908 | + | 0.0986795i | 0.00451857 | + | 0.00384693i | ||||
\(659\) | − | 17.6702i | − | 0.688333i | −0.938909 | − | 0.344166i | \(-0.888162\pi\) | ||
0.938909 | − | 0.344166i | \(-0.111838\pi\) | |||||||
\(660\) | 22.3996 | + | 1.11072i | 0.871902 | + | 0.0432346i | ||||
\(661\) | − | 17.8056i | − | 0.692556i | −0.938132 | − | 0.346278i | \(-0.887445\pi\) | ||
0.938132 | − | 0.346278i | \(-0.112555\pi\) | |||||||
\(662\) | 22.7393 | − | 16.5211i | 0.883789 | − | 0.642111i | ||||
\(663\) | 3.12493 | + | 9.61755i | 0.121362 | + | 0.373515i | ||||
\(664\) | −5.08373 | − | 1.65180i | −0.197287 | − | 0.0641024i | ||||
\(665\) | 0.659512 | + | 0.862410i | 0.0255748 | + | 0.0334428i | ||||
\(666\) | −17.2071 | + | 23.6835i | −0.666761 | + | 0.917718i | ||||
\(667\) | 12.4803 | − | 38.4103i | 0.483238 | − | 1.48725i | ||||
\(668\) | 19.3177 | − | 6.27671i | 0.747425 | − | 0.242853i | ||||
\(669\) | 32.8001 | − | 23.8307i | 1.26812 | − | 0.921346i | ||||
\(670\) | −18.5863 | − | 10.8105i | −0.718051 | − | 0.417647i | ||||
\(671\) | −7.49679 | − | 14.4967i | −0.289410 | − | 0.559639i | ||||
\(672\) | 1.88003 | + | 7.77691i | 0.0725238 | + | 0.300001i | ||||
\(673\) | 23.3139 | − | 16.9385i | 0.898685 | − | 0.652933i | −0.0394428 | − | 0.999222i | \(-0.512558\pi\) |
0.938128 | + | 0.346289i | \(0.112558\pi\) | |||||||
\(674\) | 7.35825 | + | 22.6464i | 0.283429 | + | 0.872305i | ||||
\(675\) | 46.5766 | − | 9.58800i | 1.79274 | − | 0.369042i | ||||
\(676\) | −10.2750 | − | 7.46520i | −0.395191 | − | 0.287123i | ||||
\(677\) | −8.05683 | + | 11.0893i | −0.309649 | + | 0.426196i | −0.935272 | − | 0.353930i | \(-0.884845\pi\) |
0.625623 | + | 0.780126i | \(0.284845\pi\) | |||||||
\(678\) | 10.0220 | + | 3.25634i | 0.384892 | + | 0.125059i | ||||
\(679\) | 24.9810 | − | 15.3626i | 0.958684 | − | 0.589561i | ||||
\(680\) | −13.5943 | + | 1.38470i | −0.521317 | + | 0.0531010i | ||||
\(681\) | 4.68646i | 0.179586i | ||||||||
\(682\) | 10.5958 | + | 10.4689i | 0.405733 | + | 0.400873i | ||||
\(683\) | 20.0456i | 0.767024i | 0.923536 | + | 0.383512i | \(0.125285\pi\) | ||||
−0.923536 | + | 0.383512i | \(0.874715\pi\) | |||||||
\(684\) | −0.912321 | + | 0.662840i | −0.0348834 | + | 0.0253443i | ||||
\(685\) | −1.72287 | + | 7.97941i | −0.0658275 | + | 0.304877i | ||||
\(686\) | 17.0768 | − | 7.16816i | 0.651996 | − | 0.273682i | ||||
\(687\) | 18.9556 | − | 26.0901i | 0.723201 | − | 0.995400i | ||||
\(688\) | 1.78692 | + | 1.29828i | 0.0681259 | + | 0.0494963i | ||||
\(689\) | 2.25934 | − | 6.95352i | 0.0860738 | − | 0.264908i | ||||
\(690\) | 11.4195 | − | 52.8890i | 0.434733 | − | 2.01345i | ||||
\(691\) | 10.7938 | + | 14.8563i | 0.410614 | + | 0.565162i | 0.963368 | − | 0.268183i | \(-0.0864231\pi\) |
−0.552754 | + | 0.833344i | \(0.686423\pi\) | |||||||
\(692\) | − | 12.8389i | − | 0.488062i | ||||||
\(693\) | 53.7221 | − | 4.63907i | 2.04073 | − | 0.176224i | ||||
\(694\) | 35.9132 | 1.36325 | ||||||||
\(695\) | 0.495030 | + | 4.85995i | 0.0187776 | + | 0.184348i | ||||
\(696\) | 14.5163 | − | 4.71664i | 0.550240 | − | 0.178784i | ||||
\(697\) | 64.7587 | + | 21.0414i | 2.45291 | + | 0.796999i | ||||
\(698\) | −6.41281 | − | 4.65918i | −0.242728 | − | 0.176353i | ||||
\(699\) | 16.6299 | + | 12.0824i | 0.629002 | + | 0.456997i | ||||
\(700\) | −5.63719 | − | 11.9675i | −0.213066 | − | 0.452331i | ||||
\(701\) | −16.9802 | + | 5.51720i | −0.641334 | + | 0.208382i | −0.611589 | − | 0.791176i | \(-0.709469\pi\) |
−0.0297445 | + | 0.999558i | \(0.509469\pi\) | |||||||
\(702\) | −3.05902 | − | 4.21039i | −0.115455 | − | 0.158911i | ||||
\(703\) | 0.874252i | 0.0329730i | ||||||||
\(704\) | 3.27261 | − | 0.538560i | 0.123341 | − | 0.0202978i | ||||
\(705\) | 0.195609 | − | 0.336306i | 0.00736706 | − | 0.0126660i | ||||
\(706\) | 2.65895 | − | 1.93184i | 0.100071 | − | 0.0727058i | ||||
\(707\) | 28.9886 | − | 17.8271i | 1.09023 | − | 0.670458i | ||||
\(708\) | 16.9235 | + | 5.49879i | 0.636025 | + | 0.206657i | ||||
\(709\) | −22.6592 | − | 16.4629i | −0.850986 | − | 0.618277i | 0.0744319 | − | 0.997226i | \(-0.476286\pi\) |
−0.925418 | + | 0.378949i | \(0.876286\pi\) | |||||||
\(710\) | 0.674718 | − | 0.297812i | 0.0253217 | − | 0.0111767i | ||||
\(711\) | 22.2645 | + | 7.23419i | 0.834986 | + | 0.271303i | ||||
\(712\) | 1.45267 | − | 0.472000i | 0.0544410 | − | 0.0176889i | ||||
\(713\) | 29.0731 | − | 21.1228i | 1.08880 | − | 0.791056i | ||||
\(714\) | −47.5248 | + | 11.4889i | −1.77857 | + | 0.429961i | ||||
\(715\) | 2.21983 | + | 3.39727i | 0.0830170 | + | 0.127051i | ||||
\(716\) | −5.00826 | −0.187167 | ||||||||
\(717\) | 12.7881 | + | 17.6014i | 0.477582 | + | 0.657335i | ||||
\(718\) | −19.1842 | + | 6.23332i | −0.715948 | + | 0.232626i | ||||
\(719\) | −22.7280 | − | 7.38477i | −0.847611 | − | 0.275405i | −0.147166 | − | 0.989112i | \(-0.547015\pi\) |
−0.700445 | + | 0.713707i | \(0.747015\pi\) | |||||||
\(720\) | 12.5705 | − | 5.54848i | 0.468477 | − | 0.206780i | ||||
\(721\) | 8.47350 | − | 20.5483i | 0.315570 | − | 0.765260i | ||||
\(722\) | 5.86092 | − | 18.0380i | 0.218121 | − | 0.671307i | ||||
\(723\) | 17.7061 | + | 54.4937i | 0.658496 | + | 2.02664i | ||||
\(724\) | −8.77710 | − | 12.0806i | −0.326198 | − | 0.448974i | ||||
\(725\) | −21.9360 | + | 12.4776i | −0.814683 | + | 0.463408i | ||||
\(726\) | −0.400803 | − | 33.2623i | −0.0148752 | − | 1.23448i | ||||
\(727\) | 31.6705 | 1.17460 | 0.587298 | − | 0.809371i | \(-0.300192\pi\) | ||||
0.587298 | + | 0.809371i | \(0.300192\pi\) | |||||||
\(728\) | −0.938524 | + | 1.10238i | −0.0347840 | + | 0.0408570i | ||||
\(729\) | −7.05488 | − | 21.7127i | −0.261292 | − | 0.804173i | ||||
\(730\) | −12.2388 | + | 10.9489i | −0.452977 | + | 0.405237i | ||||
\(731\) | −7.93378 | + | 10.9199i | −0.293441 | + | 0.403888i | ||||
\(732\) | −12.0388 | − | 8.74673i | −0.444968 | − | 0.323288i | ||||
\(733\) | −33.4533 | − | 10.8696i | −1.23562 | − | 0.401479i | −0.382876 | − | 0.923800i | \(-0.625066\pi\) |
−0.852749 | + | 0.522321i | \(0.825066\pi\) | |||||||
\(734\) | −6.38721 | − | 19.6578i | −0.235756 | − | 0.725583i | ||||
\(735\) | −25.7776 | − | 39.6993i | −0.950822 | − | 1.46433i | ||||
\(736\) | − | 8.00171i | − | 0.294947i | ||||||
\(737\) | −14.3072 | + | 28.5027i | −0.527012 | + | 1.04991i | ||||
\(738\) | −68.4699 | −2.52041 | ||||||||
\(739\) | 4.38429 | + | 6.03445i | 0.161279 | + | 0.221981i | 0.882007 | − | 0.471237i | \(-0.156192\pi\) |
−0.720728 | + | 0.693218i | \(0.756192\pi\) | |||||||
\(740\) | 2.24823 | − | 10.4126i | 0.0826465 | − | 0.382774i | ||||
\(741\) | −0.288816 | − | 0.0938419i | −0.0106099 | − | 0.00344737i | ||||
\(742\) | 32.6807 | + | 13.4765i | 1.19975 | + | 0.494739i | ||||
\(743\) | 16.3919 | + | 11.9094i | 0.601362 | + | 0.436915i | 0.846362 | − | 0.532608i | \(-0.178788\pi\) |
−0.245000 | + | 0.969523i | \(0.578788\pi\) | |||||||
\(744\) | 12.9166 | + | 4.19686i | 0.473546 | + | 0.153864i | ||||
\(745\) | −2.64270 | + | 12.2396i | −0.0968209 | + | 0.448422i | ||||
\(746\) | 7.71749 | − | 5.60708i | 0.282557 | − | 0.205290i | ||||
\(747\) | 32.8471i | 1.20181i | ||||||||
\(748\) | 3.29115 | + | 19.9989i | 0.120336 | + | 0.731233i | ||||
\(749\) | 1.57731 | + | 6.52469i | 0.0576337 | + | 0.238407i | ||||
\(750\) | −27.5431 | + | 19.6087i | −1.00573 | + | 0.716009i | ||||
\(751\) | −3.90941 | − | 12.0319i | −0.142656 | − | 0.439051i | 0.854046 | − | 0.520198i | \(-0.174142\pi\) |
−0.996702 | + | 0.0811465i | \(0.974142\pi\) | |||||||
\(752\) | 0.0177794 | − | 0.0547195i | 0.000648350 | − | 0.00199541i | ||||
\(753\) | −38.0282 | + | 52.3414i | −1.38583 | + | 1.90743i | ||||
\(754\) | 2.23445 | + | 1.62342i | 0.0813738 | + | 0.0591215i | ||||
\(755\) | −1.13412 | + | 1.01459i | −0.0412749 | + | 0.0369249i | ||||
\(756\) | 21.4341 | − | 13.1813i | 0.779551 | − | 0.479400i | ||||
\(757\) | 3.72903 | + | 5.13257i | 0.135534 | + | 0.186547i | 0.871389 | − | 0.490592i | \(-0.163220\pi\) |
−0.735855 | + | 0.677139i | \(0.763220\pi\) | |||||||
\(758\) | 19.3170 | 0.701624 | ||||||||
\(759\) | −79.3409 | − | 12.0768i | −2.87989 | − | 0.438361i | ||||
\(760\) | 0.206315 | − | 0.354712i | 0.00748382 | − | 0.0128668i | ||||
\(761\) | −11.5375 | + | 8.38248i | −0.418234 | + | 0.303865i | −0.776927 | − | 0.629591i | \(-0.783223\pi\) |
0.358693 | + | 0.933456i | \(0.383223\pi\) | |||||||
\(762\) | −18.4120 | − | 56.6663i | −0.666997 | − | 2.05281i | ||||
\(763\) | −2.69046 | + | 34.8880i | −0.0974013 | + | 1.26303i | ||||
\(764\) | −6.15026 | − | 4.46843i | −0.222509 | − | 0.161662i | ||||
\(765\) | 33.9068 | + | 76.8187i | 1.22590 | + | 2.77739i | ||||
\(766\) | −3.13832 | + | 9.65875i | −0.113392 | + | 0.348985i | ||||
\(767\) | 0.995014 | + | 3.06234i | 0.0359279 | + | 0.110575i | ||||
\(768\) | 2.44652 | − | 1.77750i | 0.0882813 | − | 0.0641401i | ||||
\(769\) | −43.4506 | −1.56687 | −0.783435 | − | 0.621474i | \(-0.786534\pi\) | ||||
−0.783435 | + | 0.621474i | \(0.786534\pi\) | |||||||
\(770\) | −17.2024 | + | 9.43812i | −0.619931 | + | 0.340126i | ||||
\(771\) | 88.0272 | 3.17022 | ||||||||
\(772\) | −17.6808 | + | 12.8459i | −0.636347 | + | 0.462333i | ||||
\(773\) | −10.1745 | − | 31.3138i | −0.365950 | − | 1.12628i | −0.949384 | − | 0.314117i | \(-0.898291\pi\) |
0.583434 | − | 0.812160i | \(-0.301709\pi\) | |||||||
\(774\) | 4.19423 | − | 12.9085i | 0.150758 | − | 0.463987i | ||||
\(775\) | −22.3168 | − | 2.49058i | −0.801644 | − | 0.0894642i | ||||
\(776\) | −8.96753 | − | 6.51530i | −0.321916 | − | 0.233885i | ||||
\(777\) | 2.93070 | − | 38.0033i | 0.105138 | − | 1.36336i | ||||
\(778\) | 5.65907 | + | 17.4168i | 0.202887 | + | 0.624423i | ||||
\(779\) | −1.65427 | + | 1.20190i | −0.0592703 | + | 0.0430624i | ||||
\(780\) | 3.19855 | + | 1.86040i | 0.114526 | + | 0.0666130i | ||||
\(781\) | −0.502492 | − | 0.971680i | −0.0179806 | − | 0.0347694i | ||||
\(782\) | 48.8985 | 1.74861 | ||||||||
\(783\) | −28.2155 | − | 38.8353i | −1.00834 | − | 1.38786i | ||||
\(784\) | −4.96531 | − | 4.93413i | −0.177333 | − | 0.176219i | ||||
\(785\) | −34.2312 | − | 38.2640i | −1.22176 | − | 1.36570i | ||||
\(786\) | 25.7022 | + | 18.6738i | 0.916768 | + | 0.666071i | ||||
\(787\) | 5.30992 | − | 7.30848i | 0.189278 | − | 0.260519i | −0.703823 | − | 0.710376i | \(-0.748525\pi\) |
0.893101 | + | 0.449857i | \(0.148525\pi\) | |||||||
\(788\) | 3.52228 | − | 10.8405i | 0.125476 | − | 0.386176i | ||||
\(789\) | 6.60233 | + | 20.3199i | 0.235049 | + | 0.723407i | ||||
\(790\) | −8.47482 | + | 0.863238i | −0.301520 | + | 0.0307126i | ||||
\(791\) | −8.96131 | + | 2.16635i | −0.318628 | + | 0.0770267i | ||||
\(792\) | −9.36184 | − | 18.1032i | −0.332658 | − | 0.643269i | ||||
\(793\) | − | 2.69271i | − | 0.0956208i | ||||||
\(794\) | 11.3845 | − | 8.27133i | 0.404021 | − | 0.293539i | ||||
\(795\) | 19.0682 | − | 88.3134i | 0.676278 | − | 3.13216i | ||||
\(796\) | 24.8868 | + | 8.08622i | 0.882090 | + | 0.286608i | ||||
\(797\) | −25.5287 | − | 18.5477i | −0.904273 | − | 0.656993i | 0.0352872 | − | 0.999377i | \(-0.488765\pi\) |
−0.939560 | + | 0.342385i | \(0.888765\pi\) | |||||||
\(798\) | 0.559750 | − | 1.35740i | 0.0198149 | − | 0.0480514i | ||||
\(799\) | 0.334391 | + | 0.108650i | 0.0118299 | + | 0.00384377i | ||||
\(800\) | −3.36944 | + | 3.69416i | −0.119128 | + | 0.130608i | ||||
\(801\) | −5.51695 | − | 7.59343i | −0.194932 | − | 0.268301i | ||||
\(802\) | 15.2518 | 0.538559 | ||||||||
\(803\) | 17.3265 | + | 17.1189i | 0.611438 | + | 0.604114i | ||||
\(804\) | 29.0788i | 1.02553i | ||||||||
\(805\) | 15.7290 | + | 44.6493i | 0.554374 | + | 1.57368i | ||||
\(806\) | 0.759428 | + | 2.33728i | 0.0267497 | + | 0.0823271i | ||||
\(807\) | −2.47594 | − | 0.804482i | −0.0871573 | − | 0.0283191i | ||||
\(808\) | −10.4062 | − | 7.56052i | −0.366088 | − | 0.265978i | ||||
\(809\) | −16.2603 | + | 22.3803i | −0.571680 | + | 0.786851i | −0.992753 | − | 0.120177i | \(-0.961654\pi\) |
0.421072 | + | 0.907027i | \(0.361654\pi\) | |||||||
\(810\) | −15.3947 | − | 17.2083i | −0.540913 | − | 0.604638i | ||||
\(811\) | −7.43466 | − | 22.8815i | −0.261066 | − | 0.803479i | −0.992574 | − | 0.121646i | \(-0.961183\pi\) |
0.731507 | − | 0.681834i | \(-0.238817\pi\) | |||||||
\(812\) | −8.65665 | + | 10.1680i | −0.303789 | + | 0.356828i | ||||
\(813\) | 39.1879 | 1.37438 | ||||||||
\(814\) | −15.6203 | − | 2.37764i | −0.547492 | − | 0.0833363i | ||||
\(815\) | −32.4827 | − | 18.8932i | −1.13782 | − | 0.661799i | ||||
\(816\) | 10.8623 | + | 14.9507i | 0.380258 | + | 0.523380i | ||||
\(817\) | −0.125256 | − | 0.385500i | −0.00438217 | − | 0.0134869i | ||||
\(818\) | 5.20151 | − | 16.0086i | 0.181866 | − | 0.559727i | ||||
\(819\) | 8.22473 | + | 3.39163i | 0.287395 | + | 0.118513i | ||||
\(820\) | 22.7936 | − | 10.0608i | 0.795986 | − | 0.351338i | ||||
\(821\) | −44.0036 | − | 14.2976i | −1.53574 | − | 0.498991i | −0.585539 | − | 0.810644i | \(-0.699117\pi\) |
−0.950196 | + | 0.311653i | \(0.899117\pi\) | |||||||
\(822\) | 10.4997 | − | 3.41157i | 0.366220 | − | 0.118992i | ||||
\(823\) | −18.5911 | − | 25.5884i | −0.648044 | − | 0.891957i | 0.350968 | − | 0.936387i | \(-0.385853\pi\) |
−0.999012 | + | 0.0444309i | \(0.985853\pi\) | |||||||
\(824\) | −8.40097 | −0.292662 | ||||||||
\(825\) | 31.5440 | + | 38.9852i | 1.09822 | + | 1.35729i | ||||
\(826\) | −15.1324 | + | 3.65819i | −0.526525 | + | 0.127285i | ||||
\(827\) | −31.7845 | + | 23.0928i | −1.10526 | + | 0.803016i | −0.981910 | − | 0.189348i | \(-0.939363\pi\) |
−0.123346 | + | 0.992364i | \(0.539363\pi\) | |||||||
\(828\) | −46.7639 | + | 15.1945i | −1.62516 | + | 0.528045i | ||||
\(829\) | −28.6276 | − | 9.30168i | −0.994279 | − | 0.323061i | −0.233702 | − | 0.972308i | \(-0.575084\pi\) |
−0.760577 | + | 0.649247i | \(0.775084\pi\) | |||||||
\(830\) | −4.82646 | − | 10.9348i | −0.167529 | − | 0.379551i | ||||
\(831\) | −20.9271 | − | 15.2044i | −0.725952 | − | 0.527435i | ||||
\(832\) | 0.520427 | + | 0.169097i | 0.0180426 | + | 0.00586239i | ||||
\(833\) | 30.1525 | − | 30.3431i | 1.04472 | − | 1.05133i | ||||
\(834\) | 5.34487 | − | 3.88327i | 0.185078 | − | 0.134467i | ||||
\(835\) | 39.2606 | + | 22.8355i | 1.35867 | + | 0.790256i | ||||
\(836\) | −0.543963 | − | 0.273048i | −0.0188134 | − | 0.00944355i | ||||
\(837\) | − | 42.7131i | − | 1.47638i | ||||||
\(838\) | −17.0670 | − | 23.4907i | −0.589569 | − | 0.811473i | ||||
\(839\) | −25.3742 | + | 8.24459i | −0.876016 | + | 0.284635i | −0.712302 | − | 0.701873i | \(-0.752347\pi\) |
−0.163714 | + | 0.986508i | \(0.552347\pi\) | |||||||
\(840\) | −10.1575 | + | 14.7275i | −0.350466 | + | 0.508148i | ||||
\(841\) | −2.85163 | − | 2.07183i | −0.0983322 | − | 0.0714425i | ||||
\(842\) | 17.6523 | + | 12.8252i | 0.608340 | + | 0.441985i | ||||
\(843\) | 77.6359 | + | 25.2254i | 2.67392 | + | 0.868810i | ||||
\(844\) | −15.8890 | + | 5.16264i | −0.546921 | + | 0.177705i | ||||
\(845\) | −2.87784 | − | 28.2531i | −0.0990008 | − | 0.971937i | ||||
\(846\) | −0.353555 | −0.0121555 | ||||||||
\(847\) | 15.5431 | + | 24.6051i | 0.534066 | + | 0.845443i | ||||
\(848\) | − | 13.3612i | − | 0.458825i | ||||||
\(849\) | 5.05991 | + | 6.96437i | 0.173656 | + | 0.239016i | ||||
\(850\) | −22.5751 | − | 20.5907i | −0.774318 | − | 0.706255i | ||||
\(851\) | −11.7797 | + | 36.2541i | −0.403802 | + | 1.24277i | ||||
\(852\) | −0.806934 | − | 0.586272i | −0.0276451 | − | 0.0200853i | ||||
\(853\) | 27.2399 | − | 37.4925i | 0.932677 | − | 1.28372i | −0.0261297 | − | 0.999659i | \(-0.508318\pi\) |
0.958806 | − | 0.284061i | \(-0.0916817\pi\) | |||||||
\(854\) | 12.9807 | + | 1.00103i | 0.444189 | + | 0.0342546i | ||||
\(855\) | −2.46479 | − | 0.532185i | −0.0842941 | − | 0.0182003i | ||||
\(856\) | 2.05259 | − | 1.49129i | 0.0701560 | − | 0.0509713i | ||||
\(857\) | − | 48.0294i | − | 1.64065i | −0.571896 | − | 0.820326i | \(-0.693792\pi\) | ||
0.571896 | − | 0.820326i | \(-0.306208\pi\) | |||||||
\(858\) | 2.46215 | − | 4.90508i | 0.0840565 | − | 0.167457i | ||||
\(859\) | − | 33.2791i | − | 1.13547i | −0.823212 | − | 0.567735i | \(-0.807820\pi\) | ||
0.823212 | − | 0.567735i | \(-0.192180\pi\) | |||||||
\(860\) | 0.500487 | + | 4.91352i | 0.0170665 | + | 0.167549i | ||||
\(861\) | 75.9391 | − | 46.7002i | 2.58800 | − | 1.59154i | ||||
\(862\) | 23.0372 | + | 7.48524i | 0.784651 | + | 0.254948i | ||||
\(863\) | 19.3754 | − | 26.6680i | 0.659547 | − | 0.907789i | −0.339919 | − | 0.940455i | \(-0.610400\pi\) |
0.999466 | + | 0.0326659i | \(0.0103997\pi\) | |||||||
\(864\) | −7.69428 | − | 5.59022i | −0.261765 | − | 0.190183i | ||||
\(865\) | 21.3963 | − | 19.1413i | 0.727495 | − | 0.650822i | ||||
\(866\) | 2.20106 | + | 6.77417i | 0.0747951 | + | 0.230196i | ||||
\(867\) | −49.7731 | + | 36.1622i | −1.69038 | + | 1.22813i | ||||
\(868\) | −11.5496 | + | 2.79205i | −0.392018 | + | 0.0947685i | ||||
\(869\) | 2.05173 | + | 12.4675i | 0.0696003 | + | 0.422932i | ||||
\(870\) | 29.5024 | + | 17.1598i | 1.00023 | + | 0.581771i | ||||
\(871\) | −4.25693 | + | 3.09284i | −0.144241 | + | 0.104797i | ||||
\(872\) | 12.5783 | − | 4.08693i | 0.425954 | − | 0.138401i | ||||
\(873\) | −21.0484 | + | 64.7803i | −0.712380 | + | 2.19248i | ||||
\(874\) | −0.863119 | + | 1.18798i | −0.0291954 | + | 0.0401841i | ||||
\(875\) | 11.5397 | − | 27.2366i | 0.390115 | − | 0.920766i | ||||
\(876\) | 21.1216 | + | 6.86281i | 0.713631 | + | 0.231873i | ||||
\(877\) | 10.3587 | + | 31.8809i | 0.349790 | + | 1.07654i | 0.958969 | + | 0.283510i | \(0.0914988\pi\) |
−0.609180 | + | 0.793032i | \(0.708501\pi\) | |||||||
\(878\) | −12.6985 | + | 9.22602i | −0.428555 | + | 0.311363i | ||||
\(879\) | 34.8404i | 1.17514i | ||||||||
\(880\) | 5.77658 | + | 4.65093i | 0.194728 | + | 0.156783i | ||||
\(881\) | 53.5219i | 1.80320i | 0.432571 | + | 0.901600i | \(0.357606\pi\) | ||||
−0.432571 | + | 0.901600i | \(0.642394\pi\) | |||||||
\(882\) | −19.4075 | + | 38.3879i | −0.653486 | + | 1.29259i | ||||
\(883\) | −6.84493 | + | 2.22405i | −0.230350 | + | 0.0748453i | −0.421918 | − | 0.906634i | \(-0.638643\pi\) |
0.191568 | + | 0.981479i | \(0.438643\pi\) | |||||||
\(884\) | −1.03335 | + | 3.18034i | −0.0347554 | + | 0.106966i | ||||
\(885\) | 16.0671 | + | 36.4014i | 0.540090 | + | 1.22362i | ||||
\(886\) | −22.9876 | + | 31.6397i | −0.772283 | + | 1.06296i | ||||
\(887\) | 35.5279 | + | 11.5437i | 1.19291 | + | 0.387600i | 0.837147 | − | 0.546977i | \(-0.184222\pi\) |
0.355761 | + | 0.934577i | \(0.384222\pi\) | |||||||
\(888\) | −13.7014 | + | 4.45186i | −0.459790 | + | 0.149395i | ||||
\(889\) | 39.6922 | + | 33.7924i | 1.33123 | + | 1.13336i | ||||
\(890\) | 2.95235 | + | 1.71720i | 0.0989629 | + | 0.0575607i | ||||
\(891\) | −24.0700 | + | 24.3618i | −0.806377 | + | 0.816152i | ||||
\(892\) | 13.4068 | 0.448893 | ||||||||
\(893\) | −0.00854205 | + | 0.00620617i | −0.000285849 | + | 0.000207681i | ||||
\(894\) | 16.1054 | − | 5.23298i | 0.538647 | − | 0.175017i | ||||
\(895\) | −7.46670 | − | 8.34635i | −0.249584 | − | 0.278988i | ||||
\(896\) | −1.00863 | + | 2.44595i | −0.0336961 | + | 0.0817134i | ||||
\(897\) | −10.7124 | − | 7.78300i | −0.357676 | − | 0.259867i | ||||
\(898\) | −10.1174 | + | 31.1381i | −0.337622 | + | 1.03909i | ||||
\(899\) | 7.00473 | + | 21.5583i | 0.233621 | + | 0.719011i | ||||
\(900\) | 27.9878 | + | 12.6769i | 0.932927 | + | 0.422564i | ||||
\(901\) | 81.6502 | 2.72016 | ||||||||
\(902\) | −16.9754 | − | 32.8256i | −0.565218 | − | 1.09297i | ||||
\(903\) | 4.15254 | + | 17.1773i | 0.138188 | + | 0.571626i | ||||
\(904\) | 2.04821 | + | 2.81912i | 0.0681224 | + | 0.0937625i | ||||
\(905\) | 7.04701 | − | 32.6380i | 0.234251 | − | 1.08492i | ||||
\(906\) | 1.95726 | + | 0.635951i | 0.0650255 | + | 0.0211281i | ||||
\(907\) | −12.1152 | + | 16.6752i | −0.402279 | + | 0.553690i | −0.961314 | − | 0.275454i | \(-0.911172\pi\) |
0.559035 | + | 0.829144i | \(0.311172\pi\) | |||||||
\(908\) | −0.910903 | + | 1.25375i | −0.0302294 | + | 0.0416072i | ||||
\(909\) | −24.4251 | + | 75.1727i | −0.810129 | + | 2.49332i | ||||
\(910\) | −3.23636 | + | 0.0794501i | −0.107284 | + | 0.00263374i | ||||
\(911\) | 34.6498 | − | 25.1745i | 1.14800 | − | 0.834069i | 0.159785 | − | 0.987152i | \(-0.448920\pi\) |
0.988213 | + | 0.153083i | \(0.0489200\pi\) | |||||||
\(912\) | −0.554958 | −0.0183765 | ||||||||
\(913\) | −15.7474 | + | 8.14360i | −0.521165 | + | 0.269514i | ||||
\(914\) | −8.18875 | −0.270860 | ||||||||
\(915\) | −3.37187 | − | 33.1032i | −0.111471 | − | 1.09436i | ||||
\(916\) | 10.1422 | − | 3.29541i | 0.335109 | − | 0.108883i | ||||
\(917\) | −27.7130 | − | 2.13715i | −0.915163 | − | 0.0705748i | ||||
\(918\) | 34.1619 | − | 47.0198i | 1.12751 | − | 1.55188i | ||||
\(919\) | −20.7012 | + | 28.4927i | −0.682869 | + | 0.939889i | −0.999964 | − | 0.00850529i | \(-0.997293\pi\) |
0.317095 | + | 0.948394i | \(0.397293\pi\) | |||||||
\(920\) | 13.3350 | − | 11.9296i | 0.439642 | − | 0.393307i | ||||
\(921\) | 23.5679 | − | 7.65768i | 0.776589 | − | 0.252329i | ||||
\(922\) | −17.3668 | + | 12.6177i | −0.571945 | + | 0.415542i | ||||
\(923\) | − | 0.180486i | − | 0.00594076i | ||||||
\(924\) | 22.7304 | + | 13.6927i | 0.747777 | + | 0.450458i | ||||
\(925\) | 20.7046 | − | 11.7772i | 0.680763 | − | 0.387231i | ||||
\(926\) | 6.33742 | + | 8.72271i | 0.208261 | + | 0.286646i | ||||
\(927\) | 15.9526 | + | 49.0972i | 0.523954 | + | 1.61256i | ||||
\(928\) | 4.80026 | + | 1.55970i | 0.157576 | + | 0.0511997i | ||||
\(929\) | 23.5594 | − | 32.4267i | 0.772957 | − | 1.06388i | −0.223067 | − | 0.974803i | \(-0.571607\pi\) |
0.996024 | − | 0.0890815i | \(-0.0283932\pi\) | |||||||
\(930\) | 12.2629 | + | 27.7827i | 0.402118 | + | 0.911032i | ||||
\(931\) | 0.204951 | + | 1.26814i | 0.00671699 | + | 0.0415617i | ||||
\(932\) | 2.10051 | + | 6.46469i | 0.0688043 | + | 0.211758i | ||||
\(933\) | 26.7783 | + | 36.8572i | 0.876684 | + | 1.20665i | ||||
\(934\) | −18.2484 | −0.597107 | ||||||||
\(935\) | −28.4219 | + | 35.3007i | −0.929494 | + | 1.15446i | ||||
\(936\) | − | 3.36260i | − | 0.109910i | ||||||
\(937\) | 18.4145 | + | 25.3454i | 0.601577 | + | 0.827999i | 0.995851 | − | 0.0909934i | \(-0.0290042\pi\) |
−0.394275 | + | 0.918993i | \(0.629004\pi\) | |||||||
\(938\) | −13.3270 | − | 21.6711i | −0.435143 | − | 0.707585i | ||||
\(939\) | 16.2331 | − | 49.9603i | 0.529747 | − | 1.63039i | ||||
\(940\) | 0.117698 | − | 0.0519504i | 0.00383889 | − | 0.00169443i | ||||
\(941\) | 17.1985 | + | 12.4954i | 0.560654 | + | 0.407339i | 0.831698 | − | 0.555228i | \(-0.187369\pi\) |
−0.271044 | + | 0.962567i | \(0.587369\pi\) | |||||||
\(942\) | −21.4563 | + | 66.0356i | −0.699083 | + | 2.15156i | ||||
\(943\) | −84.7946 | + | 27.5514i | −2.76129 | + | 0.897199i | ||||
\(944\) | 3.45869 | + | 4.76048i | 0.112571 | + | 0.154940i | ||||
\(945\) | 53.9225 | + | 16.0686i | 1.75410 | + | 0.522710i | ||||
\(946\) | 7.22840 | − | 1.18955i | 0.235016 | − | 0.0386756i | ||||
\(947\) | 11.2484i | 0.365523i | 0.983157 | + | 0.182761i | \(0.0585036\pi\) | ||||
−0.983157 | + | 0.182761i | \(0.941496\pi\) | |||||||
\(948\) | 6.77169 | + | 9.32043i | 0.219934 | + | 0.302713i | ||||
\(949\) | 1.24184 | + | 3.82198i | 0.0403117 | + | 0.124067i | ||||
\(950\) | 0.898725 | − | 0.185006i | 0.0291585 | − | 0.00600240i | ||||
\(951\) | 14.3550 | − | 19.7579i | 0.465492 | − | 0.640695i | ||||
\(952\) | −14.9472 | − | 6.16377i | −0.484442 | − | 0.199769i | ||||
\(953\) | 9.11957 | − | 28.0672i | 0.295412 | − | 0.909184i | −0.687671 | − | 0.726023i | \(-0.741367\pi\) |
0.983083 | − | 0.183162i | \(-0.0586332\pi\) | |||||||
\(954\) | −78.0858 | + | 25.3716i | −2.52812 | + | 0.821436i | ||||
\(955\) | −1.72258 | − | 16.9114i | −0.0557414 | − | 0.547240i | ||||
\(956\) | 7.19444i | 0.232685i | ||||||||
\(957\) | 22.7101 | − | 45.2429i | 0.734114 | − | 1.46250i | ||||
\(958\) | 15.9351 | 0.514841 | ||||||||
\(959\) | −6.26140 | + | 7.35458i | −0.202191 | + | 0.237492i | ||||
\(960\) | 6.60971 | + | 1.42713i | 0.213327 | + | 0.0460605i | ||||
\(961\) | 3.34673 | − | 10.3002i | 0.107959 | − | 0.332264i | ||||
\(962\) | −2.10901 | − | 1.53229i | −0.0679973 | − | 0.0494029i | ||||
\(963\) | −12.6131 | − | 9.16397i | −0.406452 | − | 0.295305i | ||||
\(964\) | −5.85505 | + | 18.0200i | −0.188578 | + | 0.580385i | ||||
\(965\) | −47.7678 | − | 10.3138i | −1.53770 | − | 0.332012i | ||||
\(966\) | 41.5017 | − | 48.7475i | 1.33530 | − | 1.56843i | ||||
\(967\) | −9.31716 | −0.299620 | −0.149810 | − | 0.988715i | \(-0.547866\pi\) | ||||
−0.149810 | + | 0.988715i | \(0.547866\pi\) | |||||||
\(968\) | 6.35794 | − | 8.97644i | 0.204352 | − | 0.288514i | ||||
\(969\) | − | 3.39135i | − | 0.108946i | ||||||
\(970\) | −2.51165 | − | 24.6581i | −0.0806443 | − | 0.791723i | ||||
\(971\) | −20.1278 | + | 6.53990i | −0.645930 | + | 0.209876i | −0.613619 | − | 0.789602i | \(-0.710287\pi\) |
−0.0323115 | + | 0.999478i | \(0.510287\pi\) | |||||||
\(972\) | −0.832573 | + | 2.56240i | −0.0267048 | + | 0.0821889i | ||||
\(973\) | −2.20354 | + | 5.34361i | −0.0706423 | + | 0.171308i | ||||
\(974\) | −3.93588 | + | 5.41728i | −0.126114 | + | 0.173581i | ||||
\(975\) | 1.66826 | + | 8.10407i | 0.0534270 | + | 0.259538i | ||||
\(976\) | −1.52061 | − | 4.67995i | −0.0486735 | − | 0.149802i | ||||
\(977\) | −8.87118 | − | 12.2101i | −0.283814 | − | 0.390637i | 0.643178 | − | 0.765716i | \(-0.277615\pi\) |
−0.926993 | + | 0.375080i | \(0.877615\pi\) | |||||||
\(978\) | 50.8201i | 1.62505i | ||||||||
\(979\) | 2.27263 | − | 4.52752i | 0.0726336 | − | 0.144700i | ||||
\(980\) | 0.820136 | − | 15.6310i | 0.0261983 | − | 0.499313i | ||||
\(981\) | −47.7699 | − | 65.7496i | −1.52517 | − | 2.09922i | ||||
\(982\) | −9.33984 | + | 3.03470i | −0.298046 | + | 0.0968411i | ||||
\(983\) | 7.77647 | − | 23.9335i | 0.248031 | − | 0.763360i | −0.747092 | − | 0.664720i | \(-0.768551\pi\) |
0.995123 | − | 0.0986401i | \(-0.0314492\pi\) | |||||||
\(984\) | −27.2601 | − | 19.8057i | −0.869022 | − | 0.631381i | ||||
\(985\) | 23.3171 | − | 10.2919i | 0.742945 | − | 0.327927i | ||||
\(986\) | −9.53134 | + | 29.3344i | −0.303540 | + | 0.934199i | ||||
\(987\) | 0.392123 | − | 0.241144i | 0.0124814 | − | 0.00767568i | ||||
\(988\) | −0.0590257 | − | 0.0812420i | −0.00187786 | − | 0.00258465i | ||||
\(989\) | − | 17.6739i | − | 0.561996i | ||||||
\(990\) | 16.2119 | − | 42.5913i | 0.515249 | − | 1.35364i | ||||
\(991\) | −12.9027 | −0.409866 | −0.204933 | − | 0.978776i | \(-0.565698\pi\) | ||||
−0.204933 | + | 0.978776i | \(0.565698\pi\) | |||||||
\(992\) | 2.63979 | + | 3.63336i | 0.0838134 | + | 0.115359i | ||||
\(993\) | −26.2660 | − | 80.8385i | −0.833526 | − | 2.56533i | ||||
\(994\) | 0.870062 | + | 0.0670968i | 0.0275967 | + | 0.00212818i | ||||
\(995\) | 23.6274 | + | 53.5299i | 0.749039 | + | 1.69701i | ||||
\(996\) | −9.50137 | + | 13.0775i | −0.301062 | + | 0.414377i | ||||
\(997\) | −2.86579 | − | 0.931152i | −0.0907605 | − | 0.0294899i | 0.263285 | − | 0.964718i | \(-0.415194\pi\) |
−0.354045 | + | 0.935228i | \(0.615194\pi\) | |||||||
\(998\) | −6.65825 | − | 20.4920i | −0.210763 | − | 0.648662i | ||||
\(999\) | 26.6316 | + | 36.6552i | 0.842586 | + | 1.15972i |
(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 | 770.2.w.b.349.2 | yes | 96 | |
5.4 | even | 2 | 770.2.w.a.349.23 | yes | 96 | ||
7.6 | odd | 2 | inner | 770.2.w.b.349.23 | yes | 96 | |
11.7 | odd | 10 | 770.2.w.a.139.2 | ✓ | 96 | ||
35.34 | odd | 2 | 770.2.w.a.349.2 | yes | 96 | ||
55.29 | odd | 10 | inner | 770.2.w.b.139.23 | yes | 96 | |
77.62 | even | 10 | 770.2.w.a.139.23 | yes | 96 | ||
385.139 | even | 10 | inner | 770.2.w.b.139.2 | yes | 96 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
770.2.w.a.139.2 | ✓ | 96 | 11.7 | odd | 10 | ||
770.2.w.a.139.23 | yes | 96 | 77.62 | even | 10 | ||
770.2.w.a.349.2 | yes | 96 | 35.34 | odd | 2 | ||
770.2.w.a.349.23 | yes | 96 | 5.4 | even | 2 | ||
770.2.w.b.139.2 | yes | 96 | 385.139 | even | 10 | inner | |
770.2.w.b.139.23 | yes | 96 | 55.29 | odd | 10 | inner | |
770.2.w.b.349.2 | yes | 96 | 1.1 | even | 1 | trivial | |
770.2.w.b.349.23 | yes | 96 | 7.6 | odd | 2 | inner |