Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [354,2,Mod(7,354)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(354, base_ring=CyclotomicField(58))
chi = DirichletCharacter(H, H._module([0, 18]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("354.7");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 354 = 2 \cdot 3 \cdot 59 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 354.e (of order \(29\), degree \(28\), 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: | \(2.82670423155\) |
Analytic rank: | \(0\) |
Dimension: | \(84\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{29})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{29}]$ |
Embedding invariants
Embedding label | 19.1 | ||
Character | \(\chi\) | \(=\) | 354.19 |
Dual form | 354.2.e.c.205.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/354\mathbb{Z}\right)^\times\).
\(n\) | \(61\) | \(119\) |
\(\chi(n)\) | \(e\left(\frac{19}{29}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.468408 | − | 0.883512i | 0.331215 | − | 0.624737i | ||||
\(3\) | 0.725995 | − | 0.687699i | 0.419154 | − | 0.397043i | ||||
\(4\) | −0.561187 | − | 0.827689i | −0.280594 | − | 0.413844i | ||||
\(5\) | −3.74342 | + | 0.823990i | −1.67411 | + | 0.368499i | −0.947799 | − | 0.318868i | \(-0.896697\pi\) |
−0.726310 | + | 0.687367i | \(0.758766\pi\) | |||||||
\(6\) | −0.267528 | − | 0.963550i | −0.109218 | − | 0.393368i | ||||
\(7\) | −3.11942 | + | 2.37132i | −1.17903 | + | 0.896275i | −0.996219 | − | 0.0868731i | \(-0.972313\pi\) |
−0.182810 | + | 0.983148i | \(0.558519\pi\) | |||||||
\(8\) | −0.994138 | + | 0.108119i | −0.351481 | + | 0.0382258i | ||||
\(9\) | 0.0541389 | − | 0.998533i | 0.0180463 | − | 0.332844i | ||||
\(10\) | −1.02545 | + | 3.69332i | −0.324275 | + | 1.16793i | ||||
\(11\) | −1.59437 | − | 4.00156i | −0.480720 | − | 1.20652i | −0.946814 | − | 0.321781i | \(-0.895719\pi\) |
0.466095 | − | 0.884735i | \(-0.345661\pi\) | |||||||
\(12\) | −0.976621 | − | 0.214970i | −0.281926 | − | 0.0620566i | ||||
\(13\) | −0.0482588 | − | 0.890082i | −0.0133846 | − | 0.246864i | −0.997567 | − | 0.0697085i | \(-0.977793\pi\) |
0.984183 | − | 0.177156i | \(-0.0566897\pi\) | |||||||
\(14\) | 0.633928 | + | 3.86679i | 0.169424 | + | 1.03344i | ||||
\(15\) | −2.15105 | + | 3.17256i | −0.555399 | + | 0.819152i | ||||
\(16\) | −0.370138 | + | 0.928977i | −0.0925345 | + | 0.232244i | ||||
\(17\) | −3.20598 | − | 2.43712i | −0.777564 | − | 0.591089i | 0.139318 | − | 0.990248i | \(-0.455509\pi\) |
−0.916882 | + | 0.399159i | \(0.869302\pi\) | |||||||
\(18\) | −0.856857 | − | 0.515554i | −0.201963 | − | 0.121517i | ||||
\(19\) | −5.48319 | + | 1.84750i | −1.25793 | + | 0.423846i | −0.867800 | − | 0.496914i | \(-0.834466\pi\) |
−0.390130 | + | 0.920760i | \(0.627570\pi\) | |||||||
\(20\) | 2.78277 | + | 2.63598i | 0.622246 | + | 0.589423i | ||||
\(21\) | −0.633928 | + | 3.86679i | −0.138334 | + | 0.843803i | ||||
\(22\) | −4.28224 | − | 0.465722i | −0.912977 | − | 0.0992922i | ||||
\(23\) | 5.68489 | − | 3.42049i | 1.18538 | − | 0.713221i | 0.220367 | − | 0.975417i | \(-0.429274\pi\) |
0.965015 | + | 0.262196i | \(0.0844469\pi\) | |||||||
\(24\) | −0.647386 | + | 0.762162i | −0.132147 | + | 0.155576i | ||||
\(25\) | 8.79638 | − | 4.06964i | 1.75928 | − | 0.813928i | ||||
\(26\) | −0.809003 | − | 0.374285i | −0.158659 | − | 0.0734032i | ||||
\(27\) | −0.647386 | − | 0.762162i | −0.124590 | − | 0.146678i | ||||
\(28\) | 3.71329 | + | 1.25115i | 0.701747 | + | 0.236446i | ||||
\(29\) | 2.28795 | + | 4.31554i | 0.424862 | + | 0.801375i | 0.999859 | − | 0.0167805i | \(-0.00534164\pi\) |
−0.574997 | + | 0.818155i | \(0.694997\pi\) | |||||||
\(30\) | 1.79543 | + | 3.38653i | 0.327799 | + | 0.618294i | ||||
\(31\) | 7.56437 | + | 2.54873i | 1.35860 | + | 0.457766i | 0.901935 | − | 0.431873i | \(-0.142147\pi\) |
0.456666 | + | 0.889638i | \(0.349044\pi\) | |||||||
\(32\) | 0.647386 | + | 0.762162i | 0.114443 | + | 0.134732i | ||||
\(33\) | −3.90937 | − | 1.80867i | −0.680534 | − | 0.314849i | ||||
\(34\) | −3.65493 | + | 1.69095i | −0.626816 | + | 0.289996i | ||||
\(35\) | 9.72336 | − | 11.4472i | 1.64355 | − | 1.93493i | ||||
\(36\) | −0.856857 | + | 0.515554i | −0.142810 | + | 0.0859256i | ||||
\(37\) | −2.24539 | − | 0.244200i | −0.369139 | − | 0.0401463i | −0.0783302 | − | 0.996927i | \(-0.524959\pi\) |
−0.290809 | + | 0.956781i | \(0.593924\pi\) | |||||||
\(38\) | −0.936082 | + | 5.70985i | −0.151853 | + | 0.926259i | ||||
\(39\) | −0.647145 | − | 0.613008i | −0.103626 | − | 0.0981598i | ||||
\(40\) | 3.63239 | − | 1.22389i | 0.574331 | − | 0.193515i | ||||
\(41\) | −4.44828 | − | 2.67644i | −0.694704 | − | 0.417989i | 0.123941 | − | 0.992290i | \(-0.460447\pi\) |
−0.818645 | + | 0.574300i | \(0.805274\pi\) | |||||||
\(42\) | 3.11942 | + | 2.37132i | 0.481337 | + | 0.365903i | ||||
\(43\) | −0.822975 | + | 2.06551i | −0.125502 | + | 0.314987i | −0.978280 | − | 0.207286i | \(-0.933537\pi\) |
0.852778 | + | 0.522274i | \(0.174916\pi\) | |||||||
\(44\) | −2.41731 | + | 3.56526i | −0.364423 | + | 0.537484i | ||||
\(45\) | 0.620116 | + | 3.78254i | 0.0924415 | + | 0.563868i | ||||
\(46\) | −0.359189 | − | 6.62485i | −0.0529595 | − | 0.976781i | ||||
\(47\) | −1.68338 | − | 0.370540i | −0.245546 | − | 0.0540488i | 0.0904919 | − | 0.995897i | \(-0.471156\pi\) |
−0.336038 | + | 0.941848i | \(0.609087\pi\) | |||||||
\(48\) | 0.370138 | + | 0.928977i | 0.0534248 | + | 0.134086i | ||||
\(49\) | 2.23492 | − | 8.04944i | 0.319274 | − | 1.14992i | ||||
\(50\) | 0.524724 | − | 9.67796i | 0.0742071 | − | 1.36867i | ||||
\(51\) | −4.00353 | + | 0.435410i | −0.560607 | + | 0.0609696i | ||||
\(52\) | −0.709629 | + | 0.539446i | −0.0984078 | + | 0.0748077i | ||||
\(53\) | −3.40195 | − | 12.2527i | −0.467293 | − | 1.68304i | −0.702980 | − | 0.711210i | \(-0.748148\pi\) |
0.235687 | − | 0.971829i | \(-0.424266\pi\) | |||||||
\(54\) | −0.976621 | + | 0.214970i | −0.132901 | + | 0.0292538i | ||||
\(55\) | 9.26563 | + | 13.6658i | 1.24938 | + | 1.84269i | ||||
\(56\) | 2.84475 | − | 2.69469i | 0.380145 | − | 0.360093i | ||||
\(57\) | −2.71024 | + | 5.11206i | −0.358981 | + | 0.677109i | ||||
\(58\) | 4.88452 | 0.641370 | ||||||||
\(59\) | −7.03804 | + | 3.07668i | −0.916275 | + | 0.400549i | ||||
\(60\) | 3.83304 | 0.494843 | ||||||||
\(61\) | −3.08810 | + | 5.82477i | −0.395390 | + | 0.745785i | −0.998660 | − | 0.0517521i | \(-0.983519\pi\) |
0.603270 | + | 0.797537i | \(0.293864\pi\) | |||||||
\(62\) | 5.79505 | − | 5.48936i | 0.735972 | − | 0.697149i | ||||
\(63\) | 2.19896 | + | 3.24323i | 0.277043 | + | 0.408608i | ||||
\(64\) | 0.976621 | − | 0.214970i | 0.122078 | − | 0.0268713i | ||||
\(65\) | 0.914071 | + | 3.29219i | 0.113377 | + | 0.408346i | ||||
\(66\) | −3.42916 | + | 2.60678i | −0.422101 | + | 0.320873i | ||||
\(67\) | −4.62024 | + | 0.502481i | −0.564452 | + | 0.0613879i | −0.385897 | − | 0.922542i | \(-0.626108\pi\) |
−0.178555 | + | 0.983930i | \(0.557142\pi\) | |||||||
\(68\) | −0.218025 | + | 4.02123i | −0.0264394 | + | 0.487646i | ||||
\(69\) | 1.77494 | − | 6.39275i | 0.213678 | − | 0.769597i | ||||
\(70\) | −5.55926 | − | 13.9527i | −0.664458 | − | 1.66766i | ||||
\(71\) | −8.48928 | − | 1.86863i | −1.00749 | − | 0.221766i | −0.319579 | − | 0.947559i | \(-0.603542\pi\) |
−0.687912 | + | 0.725794i | \(0.741473\pi\) | |||||||
\(72\) | 0.0541389 | + | 0.998533i | 0.00638033 | + | 0.117678i | ||||
\(73\) | 0.0780241 | + | 0.475926i | 0.00913203 | + | 0.0557029i | 0.990999 | − | 0.133866i | \(-0.0427392\pi\) |
−0.981867 | + | 0.189569i | \(0.939291\pi\) | |||||||
\(74\) | −1.26751 | + | 1.86944i | −0.147345 | + | 0.217318i | ||||
\(75\) | 3.58744 | − | 9.00380i | 0.414242 | − | 1.03967i | ||||
\(76\) | 4.60625 | + | 3.50158i | 0.528373 | + | 0.401659i | ||||
\(77\) | 14.4625 | + | 8.70179i | 1.64815 | + | 0.991660i | ||||
\(78\) | −0.844728 | + | 0.284622i | −0.0956466 | + | 0.0322271i | ||||
\(79\) | −9.26508 | − | 8.77635i | −1.04240 | − | 0.987416i | −0.0424709 | − | 0.999098i | \(-0.513523\pi\) |
−0.999932 | + | 0.0116814i | \(0.996282\pi\) | |||||||
\(80\) | 0.620116 | − | 3.78254i | 0.0693311 | − | 0.422901i | ||||
\(81\) | −0.994138 | − | 0.108119i | −0.110460 | − | 0.0120132i | ||||
\(82\) | −4.44828 | + | 2.67644i | −0.491230 | + | 0.295563i | ||||
\(83\) | −7.39560 | + | 8.70677i | −0.811772 | + | 0.955692i | −0.999649 | − | 0.0265004i | \(-0.991564\pi\) |
0.187876 | + | 0.982193i | \(0.439840\pi\) | |||||||
\(84\) | 3.55625 | − | 1.64530i | 0.388019 | − | 0.179517i | ||||
\(85\) | 14.0095 | + | 6.48148i | 1.51954 | + | 0.703015i | ||||
\(86\) | 1.43942 | + | 1.69461i | 0.155216 | + | 0.182735i | ||||
\(87\) | 4.62884 | + | 1.55964i | 0.496263 | + | 0.167211i | ||||
\(88\) | 2.01767 | + | 3.80572i | 0.215084 | + | 0.405691i | ||||
\(89\) | −4.81239 | − | 9.07713i | −0.510112 | − | 0.962174i | −0.996102 | − | 0.0882094i | \(-0.971886\pi\) |
0.485990 | − | 0.873965i | \(-0.338459\pi\) | |||||||
\(90\) | 3.63239 | + | 1.22389i | 0.382888 | + | 0.129010i | ||||
\(91\) | 2.26121 | + | 2.66210i | 0.237039 | + | 0.279064i | ||||
\(92\) | −6.02139 | − | 2.78579i | −0.627773 | − | 0.290439i | ||||
\(93\) | 7.24446 | − | 3.35164i | 0.751215 | − | 0.347549i | ||||
\(94\) | −1.11589 | + | 1.31372i | −0.115095 | + | 0.135500i | ||||
\(95\) | 19.0036 | − | 11.4341i | 1.94972 | − | 1.17311i | ||||
\(96\) | 0.994138 | + | 0.108119i | 0.101464 | + | 0.0110349i | ||||
\(97\) | 2.40640 | − | 14.6784i | 0.244333 | − | 1.49036i | −0.524772 | − | 0.851243i | \(-0.675850\pi\) |
0.769105 | − | 0.639122i | \(-0.220702\pi\) | |||||||
\(98\) | −6.06492 | − | 5.74500i | −0.612650 | − | 0.580333i | ||||
\(99\) | −4.08201 | + | 1.37539i | −0.410257 | + | 0.138232i | ||||
\(100\) | −8.30481 | − | 4.99684i | −0.830481 | − | 0.499684i | ||||
\(101\) | 1.22204 | + | 0.928969i | 0.121597 | + | 0.0924359i | 0.664205 | − | 0.747550i | \(-0.268770\pi\) |
−0.542608 | + | 0.839986i | \(0.682563\pi\) | |||||||
\(102\) | −1.49060 | + | 3.74112i | −0.147591 | + | 0.370426i | ||||
\(103\) | −0.147900 | + | 0.218136i | −0.0145730 | + | 0.0214936i | −0.834906 | − | 0.550393i | \(-0.814478\pi\) |
0.820333 | + | 0.571887i | \(0.193788\pi\) | |||||||
\(104\) | 0.144211 | + | 0.879646i | 0.0141410 | + | 0.0862564i | ||||
\(105\) | −0.813135 | − | 14.9974i | −0.0793538 | − | 1.46359i | ||||
\(106\) | −12.4189 | − | 2.73361i | −1.20623 | − | 0.265512i | ||||
\(107\) | −0.623527 | − | 1.56493i | −0.0602786 | − | 0.151288i | 0.895753 | − | 0.444553i | \(-0.146637\pi\) |
−0.956031 | + | 0.293265i | \(0.905258\pi\) | |||||||
\(108\) | −0.267528 | + | 0.963550i | −0.0257429 | + | 0.0927176i | ||||
\(109\) | −0.567900 | + | 10.4743i | −0.0543949 | + | 1.00326i | 0.836190 | + | 0.548439i | \(0.184778\pi\) |
−0.890585 | + | 0.454816i | \(0.849705\pi\) | |||||||
\(110\) | 16.4140 | − | 1.78513i | 1.56501 | − | 0.170205i | ||||
\(111\) | −1.79808 | + | 1.36686i | −0.170666 | + | 0.129737i | ||||
\(112\) | −1.04829 | − | 3.77558i | −0.0990537 | − | 0.356759i | ||||
\(113\) | 20.5966 | − | 4.53366i | 1.93757 | − | 0.426491i | 0.941604 | − | 0.336723i | \(-0.109318\pi\) |
0.995963 | − | 0.0897680i | \(-0.0286126\pi\) | |||||||
\(114\) | 3.24707 | + | 4.78907i | 0.304116 | + | 0.448537i | ||||
\(115\) | −18.4625 | + | 17.4886i | −1.72164 | + | 1.63082i | ||||
\(116\) | 2.28795 | − | 4.31554i | 0.212431 | − | 0.400688i | ||||
\(117\) | −0.891389 | −0.0824090 | ||||||||
\(118\) | −0.578399 | + | 7.65934i | −0.0532459 | + | 0.705099i | ||||
\(119\) | 15.7800 | 1.44655 | ||||||||
\(120\) | 1.79543 | − | 3.38653i | 0.163899 | − | 0.309147i | ||||
\(121\) | −5.48452 | + | 5.19521i | −0.498593 | + | 0.472292i | ||||
\(122\) | 3.69976 | + | 5.45674i | 0.334961 | + | 0.494030i | ||||
\(123\) | −5.07001 | + | 1.11599i | −0.457148 | + | 0.100626i | ||||
\(124\) | −2.13547 | − | 7.69126i | −0.191771 | − | 0.690695i | ||||
\(125\) | −14.3180 | + | 10.8842i | −1.28064 | + | 0.973515i | ||||
\(126\) | 3.89544 | − | 0.423655i | 0.347033 | − | 0.0377422i | ||||
\(127\) | −0.969982 | + | 17.8903i | −0.0860720 | + | 1.58750i | 0.562791 | + | 0.826599i | \(0.309728\pi\) |
−0.648863 | + | 0.760906i | \(0.724755\pi\) | |||||||
\(128\) | 0.267528 | − | 0.963550i | 0.0236464 | − | 0.0851666i | ||||
\(129\) | 0.822975 | + | 2.06551i | 0.0724589 | + | 0.181858i | ||||
\(130\) | 3.33685 | + | 0.734495i | 0.292661 | + | 0.0644195i | ||||
\(131\) | −0.101029 | − | 1.86338i | −0.00882697 | − | 0.162804i | −0.999623 | − | 0.0274433i | \(-0.991263\pi\) |
0.990796 | − | 0.135361i | \(-0.0432193\pi\) | |||||||
\(132\) | 0.696874 | + | 4.25075i | 0.0606551 | + | 0.369980i | ||||
\(133\) | 12.7233 | − | 18.7655i | 1.10325 | − | 1.62718i | ||||
\(134\) | −1.72021 | + | 4.31740i | −0.148604 | + | 0.372967i | ||||
\(135\) | 3.05145 | + | 2.31966i | 0.262627 | + | 0.199644i | ||||
\(136\) | 3.45068 | + | 2.07621i | 0.295894 | + | 0.178033i | ||||
\(137\) | 2.37854 | − | 0.801422i | 0.203212 | − | 0.0684701i | −0.215855 | − | 0.976425i | \(-0.569254\pi\) |
0.419067 | + | 0.907955i | \(0.362357\pi\) | |||||||
\(138\) | −4.81668 | − | 4.56260i | −0.410023 | − | 0.388394i | ||||
\(139\) | 0.638429 | − | 3.89424i | 0.0541508 | − | 0.330305i | −0.945833 | − | 0.324653i | \(-0.894752\pi\) |
0.999984 | − | 0.00565243i | \(-0.00179923\pi\) | |||||||
\(140\) | −14.9314 | − | 1.62388i | −1.26193 | − | 0.137243i | ||||
\(141\) | −1.47695 | + | 0.888650i | −0.124381 | + | 0.0748378i | ||||
\(142\) | −5.62741 | + | 6.62510i | −0.472241 | + | 0.555966i | ||||
\(143\) | −3.48477 | + | 1.61223i | −0.291411 | + | 0.134821i | ||||
\(144\) | 0.907575 | + | 0.419889i | 0.0756313 | + | 0.0349908i | ||||
\(145\) | −12.1207 | − | 14.2696i | −1.00657 | − | 1.18503i | ||||
\(146\) | 0.457034 | + | 0.153993i | 0.0378244 | + | 0.0127445i | ||||
\(147\) | −3.91306 | − | 7.38081i | −0.322743 | − | 0.608759i | ||||
\(148\) | 1.05796 | + | 1.99552i | 0.0869637 | + | 0.164031i | ||||
\(149\) | 11.1977 | + | 3.77296i | 0.917355 | + | 0.309093i | 0.738086 | − | 0.674707i | \(-0.235730\pi\) |
0.179269 | + | 0.983800i | \(0.442627\pi\) | |||||||
\(150\) | −6.27458 | − | 7.38701i | −0.512317 | − | 0.603147i | ||||
\(151\) | 2.69278 | + | 1.24581i | 0.219136 | + | 0.101383i | 0.526386 | − | 0.850246i | \(-0.323547\pi\) |
−0.307250 | + | 0.951629i | \(0.599409\pi\) | |||||||
\(152\) | 5.25129 | − | 2.42951i | 0.425936 | − | 0.197059i | ||||
\(153\) | −2.60711 | + | 3.06933i | −0.210773 | + | 0.248141i | ||||
\(154\) | 14.4625 | − | 8.70179i | 1.16542 | − | 0.701210i | ||||
\(155\) | −30.4167 | − | 3.30802i | −2.44313 | − | 0.265707i | ||||
\(156\) | −0.144211 | + | 0.879646i | −0.0115461 | + | 0.0704281i | ||||
\(157\) | 5.31922 | + | 5.03863i | 0.424520 | + | 0.402127i | 0.869910 | − | 0.493210i | \(-0.164177\pi\) |
−0.445391 | + | 0.895336i | \(0.646935\pi\) | |||||||
\(158\) | −12.0938 | + | 4.07489i | −0.962135 | + | 0.324181i | ||||
\(159\) | −10.8960 | − | 6.55589i | −0.864107 | − | 0.519916i | ||||
\(160\) | −3.05145 | − | 2.31966i | −0.241239 | − | 0.183385i | ||||
\(161\) | −9.62249 | + | 24.1506i | −0.758358 | + | 1.90334i | ||||
\(162\) | −0.561187 | + | 0.827689i | −0.0440910 | + | 0.0650294i | ||||
\(163\) | −3.51473 | − | 21.4389i | −0.275295 | − | 1.67922i | −0.656182 | − | 0.754603i | \(-0.727830\pi\) |
0.380887 | − | 0.924622i | \(-0.375619\pi\) | |||||||
\(164\) | 0.281056 | + | 5.18377i | 0.0219468 | + | 0.404785i | ||||
\(165\) | 16.1248 | + | 3.54933i | 1.25531 | + | 0.276315i | ||||
\(166\) | 4.22838 | + | 10.6124i | 0.328186 | + | 0.823684i | ||||
\(167\) | −6.14610 | + | 22.1363i | −0.475600 | + | 1.71295i | 0.203647 | + | 0.979044i | \(0.434721\pi\) |
−0.679246 | + | 0.733910i | \(0.737693\pi\) | |||||||
\(168\) | 0.212138 | − | 3.91266i | 0.0163668 | − | 0.301869i | ||||
\(169\) | 12.1339 | − | 1.31964i | 0.933375 | − | 0.101511i | ||||
\(170\) | 12.2886 | − | 9.34158i | 0.942495 | − | 0.716466i | ||||
\(171\) | 1.54794 | + | 5.57517i | 0.118374 | + | 0.426344i | ||||
\(172\) | 2.17144 | − | 0.477971i | 0.165571 | − | 0.0364449i | ||||
\(173\) | −6.05342 | − | 8.92812i | −0.460233 | − | 0.678792i | 0.524787 | − | 0.851234i | \(-0.324145\pi\) |
−0.985020 | + | 0.172441i | \(0.944835\pi\) | |||||||
\(174\) | 3.54614 | − | 3.35909i | 0.268832 | − | 0.254652i | ||||
\(175\) | −17.7892 | + | 33.5539i | −1.34474 | + | 2.53644i | ||||
\(176\) | 4.30749 | 0.324689 | ||||||||
\(177\) | −2.99376 | + | 7.07371i | −0.225025 | + | 0.531693i | ||||
\(178\) | −10.2739 | −0.770063 | ||||||||
\(179\) | −11.0511 | + | 20.8445i | −0.825995 | + | 1.55799i | 0.00384629 | + | 0.999993i | \(0.498776\pi\) |
−0.829841 | + | 0.557999i | \(0.811569\pi\) | |||||||
\(180\) | 2.78277 | − | 2.63598i | 0.207415 | − | 0.196474i | ||||
\(181\) | −1.50203 | − | 2.21533i | −0.111645 | − | 0.164664i | 0.767762 | − | 0.640736i | \(-0.221371\pi\) |
−0.879406 | + | 0.476072i | \(0.842060\pi\) | |||||||
\(182\) | 3.41117 | − | 0.750855i | 0.252853 | − | 0.0556571i | ||||
\(183\) | 1.76375 | + | 6.35244i | 0.130380 | + | 0.469586i | ||||
\(184\) | −5.28175 | + | 4.01508i | −0.389376 | + | 0.295996i | ||||
\(185\) | 8.60664 | − | 0.936029i | 0.632773 | − | 0.0688182i | ||||
\(186\) | 0.432148 | − | 7.97050i | 0.0316866 | − | 0.584426i | ||||
\(187\) | −4.64078 | + | 16.7146i | −0.339367 | + | 1.22229i | ||||
\(188\) | 0.637999 | + | 1.60126i | 0.0465309 | + | 0.116784i | ||||
\(189\) | 3.82680 | + | 0.842342i | 0.278359 | + | 0.0612714i | ||||
\(190\) | −1.20070 | − | 22.1457i | −0.0871083 | − | 1.60662i | ||||
\(191\) | 1.34076 | + | 8.17827i | 0.0970140 | + | 0.591759i | 0.989932 | + | 0.141541i | \(0.0452056\pi\) |
−0.892918 | + | 0.450218i | \(0.851346\pi\) | |||||||
\(192\) | 0.561187 | − | 0.827689i | 0.0405002 | − | 0.0597333i | ||||
\(193\) | 6.14025 | − | 15.4109i | 0.441985 | − | 1.10930i | −0.524233 | − | 0.851575i | \(-0.675648\pi\) |
0.966218 | − | 0.257725i | \(-0.0829727\pi\) | |||||||
\(194\) | −11.8414 | − | 9.00156i | −0.850160 | − | 0.646275i | ||||
\(195\) | 2.92765 | + | 1.76151i | 0.209653 | + | 0.126144i | ||||
\(196\) | −7.91664 | + | 2.66743i | −0.565474 | + | 0.190530i | ||||
\(197\) | −8.26058 | − | 7.82484i | −0.588542 | − | 0.557497i | 0.334402 | − | 0.942430i | \(-0.391466\pi\) |
−0.922944 | + | 0.384934i | \(0.874224\pi\) | |||||||
\(198\) | −0.696874 | + | 4.25075i | −0.0495247 | + | 0.302087i | ||||
\(199\) | −4.84069 | − | 0.526457i | −0.343148 | − | 0.0373196i | −0.0650772 | − | 0.997880i | \(-0.520729\pi\) |
−0.278070 | + | 0.960561i | \(0.589695\pi\) | |||||||
\(200\) | −8.30481 | + | 4.99684i | −0.587239 | + | 0.353330i | ||||
\(201\) | −3.00872 | + | 3.54213i | −0.212218 | + | 0.249843i | ||||
\(202\) | 1.39317 | − | 0.644548i | 0.0980230 | − | 0.0453503i | ||||
\(203\) | −17.3706 | − | 8.03650i | −1.21918 | − | 0.564052i | ||||
\(204\) | 2.60711 | + | 3.06933i | 0.182535 | + | 0.214896i | ||||
\(205\) | 18.8571 | + | 6.35371i | 1.31704 | + | 0.443762i | ||||
\(206\) | 0.123448 | + | 0.232848i | 0.00860104 | + | 0.0162233i | ||||
\(207\) | −3.10770 | − | 5.86173i | −0.216000 | − | 0.407419i | ||||
\(208\) | 0.844728 | + | 0.284622i | 0.0585713 | + | 0.0197350i | ||||
\(209\) | 16.1351 | + | 18.9957i | 1.11609 | + | 1.31396i | ||||
\(210\) | −13.6312 | − | 6.30649i | −0.940646 | − | 0.435189i | ||||
\(211\) | 22.3758 | − | 10.3521i | 1.54041 | − | 0.712670i | 0.548097 | − | 0.836415i | \(-0.315352\pi\) |
0.992314 | + | 0.123745i | \(0.0394903\pi\) | |||||||
\(212\) | −8.23230 | + | 9.69181i | −0.565397 | + | 0.665637i | ||||
\(213\) | −7.44823 | + | 4.48145i | −0.510344 | + | 0.307064i | ||||
\(214\) | −1.67470 | − | 0.182135i | −0.114480 | − | 0.0124505i | ||||
\(215\) | 1.37878 | − | 8.41020i | 0.0940322 | − | 0.573571i | ||||
\(216\) | 0.725995 | + | 0.687699i | 0.0493977 | + | 0.0467920i | ||||
\(217\) | −29.6403 | + | 9.98698i | −2.01211 | + | 0.677960i | ||||
\(218\) | 8.98816 | + | 5.40800i | 0.608755 | + | 0.366276i | ||||
\(219\) | 0.383939 | + | 0.291863i | 0.0259442 | + | 0.0197223i | ||||
\(220\) | 6.11127 | − | 15.3381i | 0.412022 | − | 1.03410i | ||||
\(221\) | −2.01452 | + | 2.97120i | −0.135511 | + | 0.199864i | ||||
\(222\) | 0.365405 | + | 2.22887i | 0.0245244 | + | 0.149592i | ||||
\(223\) | −0.883907 | − | 16.3027i | −0.0591908 | − | 1.09171i | −0.865724 | − | 0.500522i | \(-0.833142\pi\) |
0.806533 | − | 0.591189i | \(-0.201341\pi\) | |||||||
\(224\) | −3.82680 | − | 0.842342i | −0.255689 | − | 0.0562814i | ||||
\(225\) | −3.58744 | − | 9.00380i | −0.239163 | − | 0.600254i | ||||
\(226\) | 5.64209 | − | 20.3210i | 0.375306 | − | 1.35173i | ||||
\(227\) | 1.09978 | − | 20.2842i | 0.0729947 | − | 1.34631i | −0.701020 | − | 0.713141i | \(-0.747272\pi\) |
0.774015 | − | 0.633167i | \(-0.218245\pi\) | |||||||
\(228\) | 5.75215 | − | 0.625584i | 0.380945 | − | 0.0414303i | ||||
\(229\) | 19.6500 | − | 14.9375i | 1.29851 | − | 0.987098i | 0.299046 | − | 0.954239i | \(-0.403332\pi\) |
0.999460 | − | 0.0328596i | \(-0.0104614\pi\) | |||||||
\(230\) | 6.80341 | + | 24.5037i | 0.448603 | + | 1.61572i | ||||
\(231\) | 16.4839 | − | 3.62838i | 1.08456 | − | 0.238730i | ||||
\(232\) | −2.74113 | − | 4.04287i | −0.179964 | − | 0.265427i | ||||
\(233\) | −4.23881 | + | 4.01521i | −0.277694 | + | 0.263045i | −0.813852 | − | 0.581072i | \(-0.802633\pi\) |
0.536159 | + | 0.844117i | \(0.319875\pi\) | |||||||
\(234\) | −0.417534 | + | 0.787553i | −0.0272951 | + | 0.0514840i | ||||
\(235\) | 6.60693 | 0.430988 | ||||||||
\(236\) | 6.49619 | + | 4.09872i | 0.422866 | + | 0.266804i | ||||
\(237\) | −12.7619 | −0.828974 | ||||||||
\(238\) | 7.39148 | − | 13.9418i | 0.479118 | − | 0.903713i | ||||
\(239\) | −0.928214 | + | 0.879251i | −0.0600412 | + | 0.0568740i | −0.717132 | − | 0.696938i | \(-0.754545\pi\) |
0.657091 | + | 0.753812i | \(0.271787\pi\) | |||||||
\(240\) | −2.15105 | − | 3.17256i | −0.138850 | − | 0.204788i | ||||
\(241\) | 5.43241 | − | 1.19576i | 0.349932 | − | 0.0770259i | −0.0365264 | − | 0.999333i | \(-0.511629\pi\) |
0.386458 | + | 0.922307i | \(0.373698\pi\) | |||||||
\(242\) | 2.02104 | + | 7.27912i | 0.129917 | + | 0.467919i | ||||
\(243\) | −0.796093 | + | 0.605174i | −0.0510694 | + | 0.0388219i | ||||
\(244\) | 6.55410 | − | 0.712801i | 0.419583 | − | 0.0456324i | ||||
\(245\) | −1.73358 | + | 31.9740i | −0.110754 | + | 2.04274i | ||||
\(246\) | −1.38884 | + | 5.00216i | −0.0885494 | + | 0.318926i | ||||
\(247\) | 1.90904 | + | 4.79133i | 0.121469 | + | 0.304865i | ||||
\(248\) | −7.79559 | − | 1.71594i | −0.495020 | − | 0.108962i | ||||
\(249\) | 0.618471 | + | 11.4070i | 0.0391940 | + | 0.722891i | ||||
\(250\) | 2.90969 | + | 17.7483i | 0.184025 | + | 1.12250i | ||||
\(251\) | −14.3248 | + | 21.1275i | −0.904173 | + | 1.33356i | 0.0382977 | + | 0.999266i | \(0.487806\pi\) |
−0.942471 | + | 0.334289i | \(0.891504\pi\) | |||||||
\(252\) | 1.45035 | − | 3.64011i | 0.0913637 | − | 0.229306i | ||||
\(253\) | −22.7511 | − | 17.2949i | −1.43035 | − | 1.08732i | ||||
\(254\) | 15.3519 | + | 9.23695i | 0.963265 | + | 0.579578i | ||||
\(255\) | 14.6281 | − | 4.92879i | 0.916050 | − | 0.308653i | ||||
\(256\) | −0.725995 | − | 0.687699i | −0.0453747 | − | 0.0429812i | ||||
\(257\) | 2.37627 | − | 14.4946i | 0.148228 | − | 0.904150i | −0.803072 | − | 0.595883i | \(-0.796802\pi\) |
0.951300 | − | 0.308268i | \(-0.0997493\pi\) | |||||||
\(258\) | 2.21039 | + | 0.240395i | 0.137613 | + | 0.0149663i | ||||
\(259\) | 7.58338 | − | 4.56277i | 0.471208 | − | 0.283516i | ||||
\(260\) | 2.21194 | − | 2.60410i | 0.137179 | − | 0.161499i | ||||
\(261\) | 4.43307 | − | 2.05096i | 0.274400 | − | 0.126951i | ||||
\(262\) | −1.69364 | − | 0.783561i | −0.104633 | − | 0.0484085i | ||||
\(263\) | −6.15608 | − | 7.24750i | −0.379600 | − | 0.446900i | 0.538871 | − | 0.842389i | \(-0.318851\pi\) |
−0.918471 | + | 0.395488i | \(0.870575\pi\) | |||||||
\(264\) | 4.08201 | + | 1.37539i | 0.251230 | + | 0.0846493i | ||||
\(265\) | 22.8310 | + | 43.0639i | 1.40250 | + | 2.64539i | ||||
\(266\) | −10.6198 | − | 20.0312i | −0.651145 | − | 1.22819i | ||||
\(267\) | −9.73611 | − | 3.28048i | −0.595840 | − | 0.200762i | ||||
\(268\) | 3.00872 | + | 3.54213i | 0.183787 | + | 0.216370i | ||||
\(269\) | −4.65521 | − | 2.15373i | −0.283833 | − | 0.131315i | 0.272807 | − | 0.962069i | \(-0.412048\pi\) |
−0.556640 | + | 0.830754i | \(0.687910\pi\) | |||||||
\(270\) | 3.47877 | − | 1.60945i | 0.211711 | − | 0.0979480i | ||||
\(271\) | −6.40922 | + | 7.54552i | −0.389333 | + | 0.458358i | −0.921556 | − | 0.388246i | \(-0.873081\pi\) |
0.532223 | + | 0.846604i | \(0.321357\pi\) | |||||||
\(272\) | 3.45068 | − | 2.07621i | 0.209228 | − | 0.125889i | ||||
\(273\) | 3.47235 | + | 0.377641i | 0.210156 | + | 0.0228559i | ||||
\(274\) | 0.406060 | − | 2.47686i | 0.0245310 | − | 0.149632i | ||||
\(275\) | −30.3096 | − | 28.7107i | −1.82773 | − | 1.73132i | ||||
\(276\) | −6.28728 | + | 2.11843i | −0.378450 | + | 0.127515i | ||||
\(277\) | −20.4829 | − | 12.3242i | −1.23070 | − | 0.740487i | −0.256581 | − | 0.966523i | \(-0.582596\pi\) |
−0.974119 | + | 0.226035i | \(0.927424\pi\) | |||||||
\(278\) | −3.14157 | − | 2.38816i | −0.188419 | − | 0.143232i | ||||
\(279\) | 2.95452 | − | 7.41529i | 0.176882 | − | 0.443942i | ||||
\(280\) | −8.42870 | + | 12.4314i | −0.503711 | + | 0.742918i | ||||
\(281\) | 1.38710 | + | 8.46095i | 0.0827476 | + | 0.504738i | 0.995385 | + | 0.0959669i | \(0.0305943\pi\) |
−0.912637 | + | 0.408771i | \(0.865957\pi\) | |||||||
\(282\) | 0.0933181 | + | 1.72115i | 0.00555701 | + | 0.102493i | ||||
\(283\) | −3.61387 | − | 0.795474i | −0.214822 | − | 0.0472860i | 0.106255 | − | 0.994339i | \(-0.466114\pi\) |
−0.321078 | + | 0.947053i | \(0.604045\pi\) | |||||||
\(284\) | 3.21743 | + | 8.07513i | 0.190919 | + | 0.479171i | ||||
\(285\) | 5.93330 | − | 21.3698i | 0.351458 | − | 1.26584i | ||||
\(286\) | −0.207875 | + | 3.83402i | −0.0122919 | + | 0.226710i | ||||
\(287\) | 20.2227 | − | 2.19935i | 1.19371 | − | 0.129824i | ||||
\(288\) | 0.796093 | − | 0.605174i | 0.0469102 | − | 0.0356602i | ||||
\(289\) | −0.209247 | − | 0.753638i | −0.0123086 | − | 0.0443317i | ||||
\(290\) | −18.2848 | + | 4.02480i | −1.07372 | + | 0.236344i | ||||
\(291\) | −8.34729 | − | 12.3113i | −0.489327 | − | 0.721703i | ||||
\(292\) | 0.350133 | − | 0.331663i | 0.0204900 | − | 0.0194091i | ||||
\(293\) | 1.93495 | − | 3.64971i | 0.113041 | − | 0.213218i | −0.820536 | − | 0.571595i | \(-0.806325\pi\) |
0.933577 | + | 0.358377i | \(0.116670\pi\) | |||||||
\(294\) | −8.35394 | −0.487212 | ||||||||
\(295\) | 23.8112 | − | 17.3166i | 1.38634 | − | 1.00821i | ||||
\(296\) | 2.25863 | 0.131280 | ||||||||
\(297\) | −2.01767 | + | 3.80572i | −0.117077 | + | 0.220830i | ||||
\(298\) | 8.57857 | − | 8.12606i | 0.496943 | − | 0.470730i | ||||
\(299\) | −3.31886 | − | 4.89495i | −0.191935 | − | 0.283082i | ||||
\(300\) | −9.46558 | + | 2.08353i | −0.546495 | + | 0.120293i | ||||
\(301\) | −2.33079 | − | 8.39473i | −0.134344 | − | 0.483864i | ||||
\(302\) | 2.36202 | − | 1.79556i | 0.135919 | − | 0.103323i | ||||
\(303\) | 1.52605 | − | 0.165967i | 0.0876690 | − | 0.00953458i | ||||
\(304\) | 0.313251 | − | 5.77758i | 0.0179662 | − | 0.331367i | ||||
\(305\) | 6.76050 | − | 24.3491i | 0.387105 | − | 1.39423i | ||||
\(306\) | 1.49060 | + | 3.74112i | 0.0852118 | + | 0.213866i | ||||
\(307\) | 9.77649 | + | 2.15197i | 0.557974 | + | 0.122819i | 0.484999 | − | 0.874514i | \(-0.338820\pi\) |
0.0729745 | + | 0.997334i | \(0.476751\pi\) | |||||||
\(308\) | −0.913785 | − | 16.8538i | −0.0520677 | − | 0.960332i | ||||
\(309\) | 0.0426373 | + | 0.260076i | 0.00242555 | + | 0.0147952i | ||||
\(310\) | −17.1701 | + | 25.3241i | −0.975198 | + | 1.43831i | ||||
\(311\) | −7.27733 | + | 18.2647i | −0.412659 | + | 1.03570i | 0.564923 | + | 0.825144i | \(0.308906\pi\) |
−0.977582 | + | 0.210553i | \(0.932473\pi\) | |||||||
\(312\) | 0.709629 | + | 0.539446i | 0.0401748 | + | 0.0305401i | ||||
\(313\) | 10.2143 | + | 6.14573i | 0.577345 | + | 0.347377i | 0.774088 | − | 0.633078i | \(-0.218209\pi\) |
−0.196743 | + | 0.980455i | \(0.563036\pi\) | |||||||
\(314\) | 6.94326 | − | 2.33946i | 0.391831 | − | 0.132023i | ||||
\(315\) | −10.9040 | − | 10.3288i | −0.614372 | − | 0.581964i | ||||
\(316\) | −2.06464 | + | 12.5938i | −0.116145 | + | 0.708455i | ||||
\(317\) | −19.3973 | − | 2.10959i | −1.08946 | − | 0.118486i | −0.454288 | − | 0.890855i | \(-0.650106\pi\) |
−0.635174 | + | 0.772369i | \(0.719072\pi\) | |||||||
\(318\) | −10.8960 | + | 6.55589i | −0.611016 | + | 0.367636i | ||||
\(319\) | 13.6210 | − | 16.0359i | 0.762632 | − | 0.897839i | ||||
\(320\) | −3.47877 | + | 1.60945i | −0.194469 | + | 0.0899710i | ||||
\(321\) | −1.52888 | − | 0.707336i | −0.0853339 | − | 0.0394797i | ||||
\(322\) | 16.8301 | + | 19.8139i | 0.937906 | + | 1.10419i | ||||
\(323\) | 22.0816 | + | 7.44014i | 1.22865 | + | 0.413981i | ||||
\(324\) | 0.468408 | + | 0.883512i | 0.0260227 | + | 0.0490840i | ||||
\(325\) | −4.04681 | − | 7.63310i | −0.224477 | − | 0.423408i | ||||
\(326\) | −20.5879 | − | 6.93686i | −1.14026 | − | 0.384197i | ||||
\(327\) | 6.79088 | + | 7.99484i | 0.375536 | + | 0.442115i | ||||
\(328\) | 4.71157 | + | 2.17981i | 0.260153 | + | 0.120360i | ||||
\(329\) | 6.12984 | − | 2.83597i | 0.337949 | − | 0.156352i | ||||
\(330\) | 10.6888 | − | 12.5839i | 0.588402 | − | 0.692720i | ||||
\(331\) | −24.9166 | + | 14.9918i | −1.36954 | + | 0.824025i | −0.994676 | − | 0.103055i | \(-0.967138\pi\) |
−0.374864 | + | 0.927080i | \(0.622311\pi\) | |||||||
\(332\) | 11.3568 | + | 1.23513i | 0.623286 | + | 0.0677864i | ||||
\(333\) | −0.365405 | + | 2.22887i | −0.0200241 | + | 0.122141i | ||||
\(334\) | 16.6788 | + | 15.7990i | 0.912621 | + | 0.864481i | ||||
\(335\) | 16.8815 | − | 5.68803i | 0.922333 | − | 0.310770i | ||||
\(336\) | −3.35752 | − | 2.02015i | −0.183168 | − | 0.110208i | ||||
\(337\) | −12.1026 | − | 9.20018i | −0.659272 | − | 0.501165i | 0.221222 | − | 0.975224i | \(-0.428996\pi\) |
−0.880494 | + | 0.474058i | \(0.842789\pi\) | |||||||
\(338\) | 4.51769 | − | 11.3386i | 0.245730 | − | 0.616736i | ||||
\(339\) | 11.8353 | − | 17.4557i | 0.642803 | − | 0.948063i | ||||
\(340\) | −2.49730 | − | 15.2328i | −0.135435 | − | 0.826116i | ||||
\(341\) | −1.86147 | − | 34.3329i | −0.100804 | − | 1.85923i | ||||
\(342\) | 5.65079 | + | 1.24383i | 0.305560 | + | 0.0672588i | ||||
\(343\) | 1.96369 | + | 4.92850i | 0.106029 | + | 0.266114i | ||||
\(344\) | 0.594829 | − | 2.14238i | 0.0320711 | − | 0.115509i | ||||
\(345\) | −1.37679 | + | 25.3933i | −0.0741236 | + | 1.36713i | ||||
\(346\) | −10.7236 | + | 1.16626i | −0.576503 | + | 0.0626985i | ||||
\(347\) | 17.9073 | − | 13.6128i | 0.961317 | − | 0.730774i | −0.00176066 | − | 0.999998i | \(-0.500560\pi\) |
0.963077 | + | 0.269224i | \(0.0867673\pi\) | |||||||
\(348\) | −1.30675 | − | 4.70648i | −0.0700491 | − | 0.252294i | ||||
\(349\) | 1.53509 | − | 0.337900i | 0.0821717 | − | 0.0180874i | −0.173694 | − | 0.984800i | \(-0.555570\pi\) |
0.255866 | + | 0.966712i | \(0.417639\pi\) | |||||||
\(350\) | 21.3127 | + | 31.4339i | 1.13921 | + | 1.68021i | ||||
\(351\) | −0.647145 | + | 0.613008i | −0.0345420 | + | 0.0327199i | ||||
\(352\) | 2.01767 | − | 3.80572i | 0.107542 | − | 0.202846i | ||||
\(353\) | 28.2817 | 1.50528 | 0.752642 | − | 0.658430i | \(-0.228779\pi\) | ||||
0.752642 | + | 0.658430i | \(0.228779\pi\) | |||||||
\(354\) | 4.84741 | + | 5.95841i | 0.257637 | + | 0.316686i | ||||
\(355\) | 33.3187 | 1.76837 | ||||||||
\(356\) | −4.81239 | + | 9.07713i | −0.255056 | + | 0.481087i | ||||
\(357\) | 11.4562 | − | 10.8519i | 0.606326 | − | 0.574343i | ||||
\(358\) | 13.2400 | + | 19.5275i | 0.699754 | + | 1.03206i | ||||
\(359\) | 0.262577 | − | 0.0577976i | 0.0138583 | − | 0.00305044i | −0.208036 | − | 0.978121i | \(-0.566707\pi\) |
0.221894 | + | 0.975071i | \(0.428776\pi\) | |||||||
\(360\) | −1.02545 | − | 3.69332i | −0.0540458 | − | 0.194655i | ||||
\(361\) | 11.5263 | − | 8.76207i | 0.606648 | − | 0.461162i | ||||
\(362\) | −2.66083 | + | 0.289383i | −0.139850 | + | 0.0152096i | ||||
\(363\) | −0.408991 | + | 7.54340i | −0.0214665 | + | 0.395926i | ||||
\(364\) | 0.934431 | − | 3.36551i | 0.0489775 | − | 0.176401i | ||||
\(365\) | −0.684235 | − | 1.71730i | −0.0358145 | − | 0.0898877i | ||||
\(366\) | 6.43861 | + | 1.41725i | 0.336551 | + | 0.0740806i | ||||
\(367\) | −0.758260 | − | 13.9853i | −0.0395808 | − | 0.730025i | −0.949217 | − | 0.314621i | \(-0.898123\pi\) |
0.909637 | − | 0.415405i | \(-0.136360\pi\) | |||||||
\(368\) | 1.07336 | + | 6.54718i | 0.0559526 | + | 0.341296i | ||||
\(369\) | −2.91334 | + | 4.29685i | −0.151662 | + | 0.223685i | ||||
\(370\) | 3.20443 | − | 8.04252i | 0.166590 | − | 0.418111i | ||||
\(371\) | 39.6672 | + | 30.1542i | 2.05942 | + | 1.56553i | ||||
\(372\) | −6.83961 | − | 4.11526i | −0.354617 | − | 0.213366i | ||||
\(373\) | −16.5769 | + | 5.58540i | −0.858318 | + | 0.289201i | −0.713841 | − | 0.700307i | \(-0.753046\pi\) |
−0.144476 | + | 0.989508i | \(0.546150\pi\) | |||||||
\(374\) | 12.5937 | + | 11.9294i | 0.651207 | + | 0.616856i | ||||
\(375\) | −2.90969 | + | 17.7483i | −0.150256 | + | 0.916521i | ||||
\(376\) | 1.71358 | + | 0.186363i | 0.0883709 | + | 0.00961091i | ||||
\(377\) | 3.73077 | − | 2.24473i | 0.192144 | − | 0.115609i | ||||
\(378\) | 2.53673 | − | 2.98646i | 0.130475 | − | 0.153607i | ||||
\(379\) | 22.5861 | − | 10.4495i | 1.16017 | − | 0.536752i | 0.257160 | − | 0.966369i | \(-0.417213\pi\) |
0.903011 | + | 0.429617i | \(0.141351\pi\) | |||||||
\(380\) | −20.1284 | − | 9.31239i | −1.03257 | − | 0.477716i | ||||
\(381\) | 11.5989 | + | 13.6553i | 0.594231 | + | 0.699583i | ||||
\(382\) | 7.85363 | + | 2.64619i | 0.401826 | + | 0.135391i | ||||
\(383\) | 4.25071 | + | 8.01768i | 0.217201 | + | 0.409685i | 0.968038 | − | 0.250803i | \(-0.0806946\pi\) |
−0.750837 | + | 0.660487i | \(0.770350\pi\) | |||||||
\(384\) | −0.468408 | − | 0.883512i | −0.0239034 | − | 0.0450865i | ||||
\(385\) | −61.3094 | − | 20.6575i | −3.12461 | − | 1.05281i | ||||
\(386\) | −10.7395 | − | 12.6436i | −0.546629 | − | 0.643541i | ||||
\(387\) | 2.01793 | + | 0.933592i | 0.102577 | + | 0.0474572i | ||||
\(388\) | −13.4996 | + | 6.24557i | −0.685337 | + | 0.317071i | ||||
\(389\) | −8.00609 | + | 9.42549i | −0.405925 | + | 0.477891i | −0.926700 | − | 0.375802i | \(-0.877367\pi\) |
0.520775 | + | 0.853694i | \(0.325643\pi\) | |||||||
\(390\) | 2.92765 | − | 1.76151i | 0.148247 | − | 0.0891974i | ||||
\(391\) | −26.5618 | − | 2.88877i | −1.34329 | − | 0.146091i | ||||
\(392\) | −1.35152 | + | 8.24389i | −0.0682619 | + | 0.416379i | ||||
\(393\) | −1.35479 | − | 1.28333i | −0.0683401 | − | 0.0647352i | ||||
\(394\) | −10.7827 | + | 3.63310i | −0.543223 | + | 0.183033i | ||||
\(395\) | 41.9147 | + | 25.2193i | 2.10896 | + | 1.26892i | ||||
\(396\) | 3.42916 | + | 2.60678i | 0.172322 | + | 0.130996i | ||||
\(397\) | −1.25412 | + | 3.14760i | −0.0629424 | + | 0.157974i | −0.957084 | − | 0.289811i | \(-0.906408\pi\) |
0.894141 | + | 0.447785i | \(0.147787\pi\) | |||||||
\(398\) | −2.73255 | + | 4.03021i | −0.136970 | + | 0.202016i | ||||
\(399\) | −3.66795 | − | 22.3735i | −0.183627 | − | 1.12008i | ||||
\(400\) | 0.524724 | + | 9.67796i | 0.0262362 | + | 0.483898i | ||||
\(401\) | −14.6236 | − | 3.21890i | −0.730268 | − | 0.160744i | −0.165754 | − | 0.986167i | \(-0.553006\pi\) |
−0.564515 | + | 0.825423i | \(0.690937\pi\) | |||||||
\(402\) | 1.72021 | + | 4.31740i | 0.0857963 | + | 0.215332i | ||||
\(403\) | 1.90353 | − | 6.85590i | 0.0948217 | − | 0.341517i | ||||
\(404\) | 0.0831056 | − | 1.53279i | 0.00413466 | − | 0.0762593i | ||||
\(405\) | 3.81057 | − | 0.414424i | 0.189349 | − | 0.0205929i | ||||
\(406\) | −15.2369 | + | 11.5828i | −0.756194 | + | 0.574844i | ||||
\(407\) | 2.60279 | + | 9.37439i | 0.129015 | + | 0.464671i | ||||
\(408\) | 3.93299 | − | 0.865716i | 0.194712 | − | 0.0428593i | ||||
\(409\) | 11.7307 | + | 17.3015i | 0.580045 | + | 0.855503i | 0.998611 | − | 0.0526836i | \(-0.0167775\pi\) |
−0.418566 | + | 0.908186i | \(0.637467\pi\) | |||||||
\(410\) | 14.4464 | − | 13.6844i | 0.713458 | − | 0.675823i | ||||
\(411\) | 1.17567 | − | 2.21755i | 0.0579915 | − | 0.109384i | ||||
\(412\) | 0.263548 | 0.0129841 | ||||||||
\(413\) | 14.6588 | − | 26.2869i | 0.721314 | − | 1.29349i | ||||
\(414\) | −6.63458 | −0.326072 | ||||||||
\(415\) | 20.5106 | − | 38.6870i | 1.00682 | − | 1.89907i | ||||
\(416\) | 0.647145 | − | 0.613008i | 0.0317289 | − | 0.0300552i | ||||
\(417\) | −2.21457 | − | 3.26625i | −0.108448 | − | 0.159949i | ||||
\(418\) | 24.3407 | − | 5.35780i | 1.19054 | − | 0.262059i | ||||
\(419\) | 6.14722 | + | 22.1403i | 0.300311 | + | 1.08162i | 0.947621 | + | 0.319396i | \(0.103480\pi\) |
−0.647310 | + | 0.762227i | \(0.724106\pi\) | |||||||
\(420\) | −11.9569 | + | 9.08936i | −0.583435 | + | 0.443515i | ||||
\(421\) | −15.3279 | + | 1.66701i | −0.747038 | + | 0.0812453i | −0.473717 | − | 0.880677i | \(-0.657088\pi\) |
−0.273322 | + | 0.961923i | \(0.588122\pi\) | |||||||
\(422\) | 1.33476 | − | 24.6183i | 0.0649753 | − | 1.19840i | ||||
\(423\) | −0.461133 | + | 1.66085i | −0.0224211 | + | 0.0807533i | ||||
\(424\) | 4.70676 | + | 11.8131i | 0.228580 | + | 0.573693i | ||||
\(425\) | −38.1192 | − | 8.39067i | −1.84905 | − | 0.407007i | ||||
\(426\) | 0.470603 | + | 8.67975i | 0.0228008 | + | 0.420535i | ||||
\(427\) | −4.17933 | − | 25.4928i | −0.202252 | − | 1.23368i | ||||
\(428\) | −0.945364 | + | 1.39431i | −0.0456959 | + | 0.0673964i | ||||
\(429\) | −1.42120 | + | 3.56695i | −0.0686162 | + | 0.172214i | ||||
\(430\) | −6.78468 | − | 5.15758i | −0.327186 | − | 0.248721i | ||||
\(431\) | 3.40574 | + | 2.04917i | 0.164049 | + | 0.0987048i | 0.595211 | − | 0.803570i | \(-0.297069\pi\) |
−0.431162 | + | 0.902275i | \(0.641896\pi\) | |||||||
\(432\) | 0.947653 | − | 0.319302i | 0.0455940 | − | 0.0153624i | ||||
\(433\) | −14.9556 | − | 14.1667i | −0.718721 | − | 0.680809i | 0.238181 | − | 0.971221i | \(-0.423449\pi\) |
−0.956902 | + | 0.290412i | \(0.906208\pi\) | |||||||
\(434\) | −5.06015 | + | 30.8655i | −0.242895 | + | 1.48159i | ||||
\(435\) | −18.6128 | − | 2.02427i | −0.892416 | − | 0.0970561i | ||||
\(436\) | 8.98816 | − | 5.40800i | 0.430455 | − | 0.258996i | ||||
\(437\) | −24.8520 | + | 29.2580i | −1.18883 | + | 1.39960i | ||||
\(438\) | 0.437705 | − | 0.202504i | 0.0209143 | − | 0.00967601i | ||||
\(439\) | −13.5462 | − | 6.26712i | −0.646523 | − | 0.299113i | 0.0690899 | − | 0.997610i | \(-0.477990\pi\) |
−0.715613 | + | 0.698497i | \(0.753853\pi\) | |||||||
\(440\) | −10.6888 | − | 12.5839i | −0.509571 | − | 0.599913i | ||||
\(441\) | −7.91664 | − | 2.66743i | −0.376983 | − | 0.127020i | ||||
\(442\) | 1.68147 | + | 3.17159i | 0.0799793 | + | 0.150857i | ||||
\(443\) | −9.94954 | − | 18.7668i | −0.472717 | − | 0.891639i | −0.999142 | − | 0.0414173i | \(-0.986813\pi\) |
0.526425 | − | 0.850222i | \(-0.323532\pi\) | |||||||
\(444\) | 2.14039 | + | 0.721183i | 0.101579 | + | 0.0342258i | ||||
\(445\) | 25.4943 | + | 30.0142i | 1.20854 | + | 1.42281i | ||||
\(446\) | −14.8177 | − | 6.85538i | −0.701637 | − | 0.324612i | ||||
\(447\) | 10.7242 | − | 4.96153i | 0.507236 | − | 0.234672i | ||||
\(448\) | −2.53673 | + | 2.98646i | −0.119849 | + | 0.141097i | ||||
\(449\) | 19.1384 | − | 11.5152i | 0.903199 | − | 0.543437i | 0.0134615 | − | 0.999909i | \(-0.495715\pi\) |
0.889737 | + | 0.456473i | \(0.150887\pi\) | |||||||
\(450\) | −9.63536 | − | 1.04791i | −0.454215 | − | 0.0493989i | ||||
\(451\) | −3.61774 | + | 22.0673i | −0.170353 | + | 1.03911i | ||||
\(452\) | −15.3110 | − | 14.5034i | −0.720169 | − | 0.682181i | ||||
\(453\) | 2.81170 | − | 0.947371i | 0.132105 | − | 0.0445114i | ||||
\(454\) | −17.4062 | − | 10.4729i | −0.816912 | − | 0.491520i | ||||
\(455\) | −10.6582 | − | 8.10216i | −0.499664 | − | 0.379835i | ||||
\(456\) | 2.14164 | − | 5.37512i | 0.100292 | − | 0.251713i | ||||
\(457\) | 7.75639 | − | 11.4398i | 0.362829 | − | 0.535132i | −0.601834 | − | 0.798621i | \(-0.705563\pi\) |
0.964662 | + | 0.263489i | \(0.0848734\pi\) | |||||||
\(458\) | −3.99326 | − | 24.3578i | −0.186593 | − | 1.13817i | ||||
\(459\) | 0.218025 | + | 4.02123i | 0.0101765 | + | 0.187695i | ||||
\(460\) | 24.8361 | + | 5.46683i | 1.15799 | + | 0.254892i | ||||
\(461\) | −4.44843 | − | 11.1647i | −0.207184 | − | 0.519993i | 0.788260 | − | 0.615343i | \(-0.210982\pi\) |
−0.995444 | + | 0.0953498i | \(0.969603\pi\) | |||||||
\(462\) | 4.51548 | − | 16.2633i | 0.210079 | − | 0.756637i | ||||
\(463\) | −0.702311 | + | 12.9534i | −0.0326391 | + | 0.601994i | 0.935768 | + | 0.352617i | \(0.114708\pi\) |
−0.968407 | + | 0.249376i | \(0.919774\pi\) | |||||||
\(464\) | −4.85589 | + | 0.528110i | −0.225429 | + | 0.0245169i | ||||
\(465\) | −24.3573 | + | 18.5160i | −1.12954 | + | 0.858658i | ||||
\(466\) | 1.56200 | + | 5.62580i | 0.0723580 | + | 0.260610i | ||||
\(467\) | −33.8880 | + | 7.45931i | −1.56815 | + | 0.345176i | −0.912238 | − | 0.409661i | \(-0.865647\pi\) |
−0.655912 | + | 0.754837i | \(0.727716\pi\) | |||||||
\(468\) | 0.500236 | + | 0.737793i | 0.0231234 | + | 0.0341045i | ||||
\(469\) | 13.2209 | − | 12.5235i | 0.610485 | − | 0.578282i | ||||
\(470\) | 3.09474 | − | 5.83730i | 0.142750 | − | 0.269255i | ||||
\(471\) | 7.32679 | 0.337601 | ||||||||
\(472\) | 6.66414 | − | 3.81959i | 0.306742 | − | 0.175811i | ||||
\(473\) | 9.57739 | 0.440369 | ||||||||
\(474\) | −5.97778 | + | 11.2753i | −0.274568 | + | 0.517891i | ||||
\(475\) | −40.7135 | + | 38.5659i | −1.86806 | + | 1.76952i | ||||
\(476\) | −8.85552 | − | 13.0609i | −0.405892 | − | 0.598646i | ||||
\(477\) | −12.4189 | + | 2.73361i | −0.568623 | + | 0.125163i | ||||
\(478\) | 0.342046 | + | 1.23194i | 0.0156448 | + | 0.0563475i | ||||
\(479\) | −8.97377 | + | 6.82168i | −0.410022 | + | 0.311690i | −0.789774 | − | 0.613398i | \(-0.789802\pi\) |
0.379752 | + | 0.925088i | \(0.376009\pi\) | |||||||
\(480\) | −3.81057 | + | 0.414424i | −0.173928 | + | 0.0189158i | ||||
\(481\) | −0.108999 | + | 2.01036i | −0.00496991 | + | 0.0916646i | ||||
\(482\) | 1.48811 | − | 5.35970i | 0.0677817 | − | 0.244128i | ||||
\(483\) | 9.62249 | + | 24.1506i | 0.437838 | + | 1.09889i | ||||
\(484\) | 7.37786 | + | 1.62399i | 0.335357 | + | 0.0738177i | ||||
\(485\) | 3.08667 | + | 56.9303i | 0.140158 | + | 2.58507i | ||||
\(486\) | 0.161782 | + | 0.986827i | 0.00733858 | + | 0.0447634i | ||||
\(487\) | −15.6218 | + | 23.0405i | −0.707892 | + | 1.04406i | 0.288356 | + | 0.957523i | \(0.406891\pi\) |
−0.996248 | + | 0.0865396i | \(0.972419\pi\) | |||||||
\(488\) | 2.44023 | − | 6.12451i | 0.110464 | − | 0.277243i | ||||
\(489\) | −17.2952 | − | 13.1475i | −0.782116 | − | 0.594549i | ||||
\(490\) | 27.4374 | + | 16.5085i | 1.23950 | + | 0.745779i | ||||
\(491\) | 35.6565 | − | 12.0141i | 1.60915 | − | 0.542187i | 0.635870 | − | 0.771796i | \(-0.280641\pi\) |
0.973283 | + | 0.229609i | \(0.0737448\pi\) | |||||||
\(492\) | 3.76892 | + | 3.57011i | 0.169916 | + | 0.160953i | ||||
\(493\) | 3.18236 | − | 19.4115i | 0.143326 | − | 0.874251i | ||||
\(494\) | 5.12740 | + | 0.557639i | 0.230693 | + | 0.0250894i | ||||
\(495\) | 14.1474 | − | 8.51219i | 0.635877 | − | 0.382595i | ||||
\(496\) | −5.16757 | + | 6.08374i | −0.232031 | + | 0.273168i | ||||
\(497\) | 30.9127 | − | 14.3018i | 1.38663 | − | 0.641521i | ||||
\(498\) | 10.3679 | + | 4.79672i | 0.464599 | + | 0.214946i | ||||
\(499\) | −26.6248 | − | 31.3451i | −1.19189 | − | 1.40320i | −0.893683 | − | 0.448699i | \(-0.851888\pi\) |
−0.298206 | − | 0.954502i | \(-0.596388\pi\) | |||||||
\(500\) | 17.0438 | + | 5.74273i | 0.762222 | + | 0.256823i | ||||
\(501\) | 10.7610 | + | 20.2975i | 0.480768 | + | 0.906825i | ||||
\(502\) | 11.9565 | + | 22.5524i | 0.533646 | + | 1.00656i | ||||
\(503\) | 3.43092 | + | 1.15601i | 0.152977 | + | 0.0515440i | 0.394748 | − | 0.918789i | \(-0.370832\pi\) |
−0.241771 | + | 0.970333i | \(0.577728\pi\) | |||||||
\(504\) | −2.53673 | − | 2.98646i | −0.112995 | − | 0.133028i | ||||
\(505\) | −5.34007 | − | 2.47058i | −0.237630 | − | 0.109939i | ||||
\(506\) | −25.9371 | + | 11.9998i | −1.15304 | + | 0.533455i | ||||
\(507\) | 7.90162 | − | 9.30251i | 0.350923 | − | 0.413139i | ||||
\(508\) | 15.3519 | − | 9.23695i | 0.681131 | − | 0.409823i | ||||
\(509\) | −30.1365 | − | 3.27755i | −1.33578 | − | 0.145275i | −0.587805 | − | 0.809003i | \(-0.700008\pi\) |
−0.747974 | + | 0.663728i | \(0.768973\pi\) | |||||||
\(510\) | 2.49730 | − | 15.2328i | 0.110582 | − | 0.674521i | ||||
\(511\) | −1.37196 | − | 1.29959i | −0.0606921 | − | 0.0574906i | ||||
\(512\) | −0.947653 | + | 0.319302i | −0.0418807 | + | 0.0141113i | ||||
\(513\) | 4.95783 | + | 2.98303i | 0.218894 | + | 0.131704i | ||||
\(514\) | −11.6931 | − | 8.88888i | −0.515761 | − | 0.392072i | ||||
\(515\) | 0.373910 | − | 0.938443i | 0.0164764 | − | 0.0413527i | ||||
\(516\) | 1.24776 | − | 1.84031i | 0.0549295 | − | 0.0810149i | ||||
\(517\) | 1.20119 | + | 7.32692i | 0.0528282 | + | 0.322238i | ||||
\(518\) | −0.479141 | − | 8.83724i | −0.0210523 | − | 0.388286i | ||||
\(519\) | −10.5346 | − | 2.31884i | −0.462418 | − | 0.101786i | ||||
\(520\) | −1.26466 | − | 3.17406i | −0.0554591 | − | 0.139192i | ||||
\(521\) | −7.86009 | + | 28.3095i | −0.344357 | + | 1.24026i | 0.565295 | + | 0.824889i | \(0.308763\pi\) |
−0.909651 | + | 0.415372i | \(0.863651\pi\) | |||||||
\(522\) | 0.264443 | − | 4.87736i | 0.0115743 | − | 0.213476i | ||||
\(523\) | 15.0179 | − | 1.63329i | 0.656687 | − | 0.0714190i | 0.226292 | − | 0.974060i | \(-0.427340\pi\) |
0.430395 | + | 0.902641i | \(0.358374\pi\) | |||||||
\(524\) | −1.48560 | + | 1.12932i | −0.0648987 | + | 0.0493347i | ||||
\(525\) | 10.1602 | + | 36.5936i | 0.443426 | + | 1.59708i | ||||
\(526\) | −9.28682 | + | 2.04418i | −0.404924 | + | 0.0891306i | ||||
\(527\) | −18.0396 | − | 26.6064i | −0.785818 | − | 1.15900i | ||||
\(528\) | 3.12722 | − | 2.96226i | 0.136095 | − | 0.128916i | ||||
\(529\) | 9.84487 | − | 18.5694i | 0.428038 | − | 0.807365i | ||||
\(530\) | 48.7417 | 2.11720 | ||||||||
\(531\) | 2.69113 | + | 7.19429i | 0.116785 | + | 0.312206i | ||||
\(532\) | −22.6722 | −0.982964 | ||||||||
\(533\) | −2.16758 | + | 4.08849i | −0.0938883 | + | 0.177092i | ||||
\(534\) | −7.45882 | + | 7.06537i | −0.322775 | + | 0.305748i | ||||
\(535\) | 3.62361 | + | 5.34443i | 0.156663 | + | 0.231060i | ||||
\(536\) | 4.53883 | − | 0.999071i | 0.196047 | − | 0.0431533i | ||||
\(537\) | 6.31174 | + | 22.7328i | 0.272372 | + | 0.980994i | ||||
\(538\) | −4.08338 | + | 3.10411i | −0.176047 | + | 0.133828i | ||||
\(539\) | −35.7736 | + | 3.89061i | −1.54088 | + | 0.167581i | ||||
\(540\) | 0.207516 | − | 3.82742i | 0.00893009 | − | 0.164706i | ||||
\(541\) | 5.56727 | − | 20.0515i | 0.239356 | − | 0.862081i | −0.742083 | − | 0.670308i | \(-0.766162\pi\) |
0.981439 | − | 0.191774i | \(-0.0614240\pi\) | |||||||
\(542\) | 3.66442 | + | 9.19701i | 0.157401 | + | 0.395045i | ||||
\(543\) | −2.61394 | − | 0.575373i | −0.112175 | − | 0.0246916i | ||||
\(544\) | −0.218025 | − | 4.02123i | −0.00934774 | − | 0.172409i | ||||
\(545\) | −6.50482 | − | 39.6777i | −0.278636 | − | 1.69960i | ||||
\(546\) | 1.96013 | − | 2.89098i | 0.0838858 | − | 0.123722i | ||||
\(547\) | −1.61686 | + | 4.05801i | −0.0691318 | + | 0.173508i | −0.959483 | − | 0.281767i | \(-0.909080\pi\) |
0.890351 | + | 0.455275i | \(0.150459\pi\) | |||||||
\(548\) | −1.99813 | − | 1.51894i | −0.0853560 | − | 0.0648859i | ||||
\(549\) | 5.64904 | + | 3.39891i | 0.241095 | + | 0.145062i | ||||
\(550\) | −39.5635 | + | 13.3305i | −1.68699 | + | 0.568415i | ||||
\(551\) | −20.5182 | − | 19.4359i | −0.874106 | − | 0.827997i | ||||
\(552\) | −1.07336 | + | 6.54718i | −0.0456851 | + | 0.278667i | ||||
\(553\) | 49.7132 | + | 5.40664i | 2.11402 | + | 0.229914i | ||||
\(554\) | −20.4829 | + | 12.3242i | −0.870236 | + | 0.523604i | ||||
\(555\) | 5.60468 | − | 6.59834i | 0.237905 | − | 0.280084i | ||||
\(556\) | −3.58150 | + | 1.65698i | −0.151889 | + | 0.0702715i | ||||
\(557\) | 28.4751 | + | 13.1740i | 1.20653 | + | 0.558200i | 0.916968 | − | 0.398960i | \(-0.130629\pi\) |
0.289560 | + | 0.957160i | \(0.406491\pi\) | |||||||
\(558\) | −5.16757 | − | 6.08374i | −0.218761 | − | 0.257545i | ||||
\(559\) | 1.87819 | + | 0.632836i | 0.0794390 | + | 0.0267661i | ||||
\(560\) | 7.03522 | + | 13.2698i | 0.297292 | + | 0.560753i | ||||
\(561\) | 8.12542 | + | 15.3262i | 0.343055 | + | 0.647071i | ||||
\(562\) | 8.12508 | + | 2.73766i | 0.342736 | + | 0.115481i | ||||
\(563\) | −13.5661 | − | 15.9712i | −0.571742 | − | 0.673107i | 0.397959 | − | 0.917403i | \(-0.369719\pi\) |
−0.969701 | + | 0.244297i | \(0.921443\pi\) | |||||||
\(564\) | 1.56437 | + | 0.723754i | 0.0658718 | + | 0.0304755i | ||||
\(565\) | −73.3662 | + | 33.9428i | −3.08654 | + | 1.42798i | ||||
\(566\) | −2.39558 | + | 2.82029i | −0.100694 | + | 0.118546i | ||||
\(567\) | 3.35752 | − | 2.02015i | 0.141003 | − | 0.0848384i | ||||
\(568\) | 8.64155 | + | 0.939825i | 0.362591 | + | 0.0394342i | ||||
\(569\) | −3.54506 | + | 21.6239i | −0.148617 | + | 0.906522i | 0.802265 | + | 0.596968i | \(0.203628\pi\) |
−0.950882 | + | 0.309554i | \(0.899820\pi\) | |||||||
\(570\) | −16.1013 | − | 15.2519i | −0.674409 | − | 0.638834i | ||||
\(571\) | −16.5170 | + | 5.56521i | −0.691213 | + | 0.232897i | −0.642917 | − | 0.765936i | \(-0.722276\pi\) |
−0.0482966 | + | 0.998833i | \(0.515379\pi\) | |||||||
\(572\) | 3.29003 | + | 1.97955i | 0.137563 | + | 0.0827690i | ||||
\(573\) | 6.59758 | + | 5.01535i | 0.275618 | + | 0.209519i | ||||
\(574\) | 7.52934 | − | 18.8972i | 0.314269 | − | 0.788755i | ||||
\(575\) | 36.0863 | − | 53.2233i | 1.50490 | − | 2.21957i | ||||
\(576\) | −0.161782 | − | 0.986827i | −0.00674092 | − | 0.0411178i | ||||
\(577\) | −1.10032 | − | 20.2943i | −0.0458070 | − | 0.844861i | −0.927681 | − | 0.373375i | \(-0.878201\pi\) |
0.881874 | − | 0.471486i | \(-0.156282\pi\) | |||||||
\(578\) | −0.763861 | − | 0.168139i | −0.0317724 | − | 0.00699364i | ||||
\(579\) | −6.14025 | − | 15.4109i | −0.255180 | − | 0.640454i | ||||
\(580\) | −5.00882 | + | 18.0401i | −0.207980 | + | 0.749076i | ||||
\(581\) | 2.42342 | − | 44.6974i | 0.100541 | − | 1.85436i | ||||
\(582\) | −14.7871 | + | 1.60820i | −0.612947 | + | 0.0666620i | ||||
\(583\) | −43.6060 | + | 33.1484i | −1.80597 | + | 1.37287i | ||||
\(584\) | −0.129023 | − | 0.464700i | −0.00533903 | − | 0.0192294i | ||||
\(585\) | 3.33685 | − | 0.734495i | 0.137962 | − | 0.0303676i | ||||
\(586\) | −2.31821 | − | 3.41911i | −0.0957645 | − | 0.141242i | ||||
\(587\) | 12.5754 | − | 11.9120i | 0.519042 | − | 0.491662i | −0.382739 | − | 0.923857i | \(-0.625019\pi\) |
0.901781 | + | 0.432194i | \(0.142261\pi\) | |||||||
\(588\) | −3.91306 | + | 7.38081i | −0.161372 | + | 0.304379i | ||||
\(589\) | −46.1856 | −1.90304 | ||||||||
\(590\) | −4.14602 | − | 29.1487i | −0.170689 | − | 1.20003i | ||||
\(591\) | −11.3783 | −0.468040 | ||||||||
\(592\) | 1.05796 | − | 1.99552i | 0.0434819 | − | 0.0820155i | ||||
\(593\) | −7.99340 | + | 7.57175i | −0.328250 | + | 0.310935i | −0.834021 | − | 0.551733i | \(-0.813967\pi\) |
0.505771 | + | 0.862668i | \(0.331208\pi\) | |||||||
\(594\) | 2.41731 | + | 3.56526i | 0.0991834 | + | 0.146285i | ||||
\(595\) | −59.0712 | + | 13.0025i | −2.42168 | + | 0.533052i | ||||
\(596\) | −3.16119 | − | 11.3856i | −0.129487 | − | 0.466372i | ||||
\(597\) | −3.87637 | + | 2.94674i | −0.158649 | + | 0.120602i | ||||
\(598\) | −5.87933 | + | 0.639415i | −0.240424 | + | 0.0261476i | ||||
\(599\) | −1.08150 | + | 19.9471i | −0.0441888 | + | 0.815015i | 0.889501 | + | 0.456933i | \(0.151052\pi\) |
−0.933690 | + | 0.358082i | \(0.883431\pi\) | |||||||
\(600\) | −2.59293 | + | 9.33889i | −0.105856 | + | 0.381259i | ||||
\(601\) | 5.64548 | + | 14.1691i | 0.230284 | + | 0.577969i | 0.998027 | − | 0.0627889i | \(-0.0199995\pi\) |
−0.767743 | + | 0.640758i | \(0.778620\pi\) | |||||||
\(602\) | −8.50861 | − | 1.87289i | −0.346785 | − | 0.0763331i | ||||
\(603\) | 0.251610 | + | 4.64067i | 0.0102463 | + | 0.188983i | ||||
\(604\) | −0.480009 | − | 2.92792i | −0.0195313 | − | 0.119136i | ||||
\(605\) | 16.2501 | − | 23.9671i | 0.660659 | − | 0.974399i | ||||
\(606\) | 0.568178 | − | 1.42602i | 0.0230807 | − | 0.0579281i | ||||
\(607\) | −5.50583 | − | 4.18542i | −0.223475 | − | 0.169881i | 0.487446 | − | 0.873153i | \(-0.337929\pi\) |
−0.710921 | + | 0.703272i | \(0.751722\pi\) | |||||||
\(608\) | −4.95783 | − | 2.98303i | −0.201067 | − | 0.120978i | ||||
\(609\) | −18.1377 | + | 6.11130i | −0.734976 | + | 0.247642i | ||||
\(610\) | −18.3461 | − | 17.3783i | −0.742811 | − | 0.703628i | ||||
\(611\) | −0.248573 | + | 1.51623i | −0.0100562 | + | 0.0613400i | ||||
\(612\) | 4.00353 | + | 0.435410i | 0.161833 | + | 0.0176004i | ||||
\(613\) | −23.4050 | + | 14.0823i | −0.945317 | + | 0.568779i | −0.902680 | − | 0.430312i | \(-0.858404\pi\) |
−0.0426371 | + | 0.999091i | \(0.513576\pi\) | |||||||
\(614\) | 6.48068 | − | 7.62965i | 0.261539 | − | 0.307908i | ||||
\(615\) | 18.0596 | − | 8.35528i | 0.728235 | − | 0.336917i | ||||
\(616\) | −15.3185 | − | 7.08711i | −0.617201 | − | 0.285548i | ||||
\(617\) | 8.65847 | + | 10.1935i | 0.348577 | + | 0.410376i | 0.908311 | − | 0.418296i | \(-0.137373\pi\) |
−0.559734 | + | 0.828672i | \(0.689097\pi\) | |||||||
\(618\) | 0.249752 | + | 0.0841513i | 0.0100465 | + | 0.00338506i | ||||
\(619\) | 9.65707 | + | 18.2152i | 0.388150 | + | 0.732129i | 0.998184 | − | 0.0602465i | \(-0.0191887\pi\) |
−0.610033 | + | 0.792376i | \(0.708844\pi\) | |||||||
\(620\) | 14.3315 | + | 27.0320i | 0.575566 | + | 1.08563i | ||||
\(621\) | −6.28728 | − | 2.11843i | −0.252300 | − | 0.0850098i | ||||
\(622\) | 12.7283 | + | 14.9850i | 0.510360 | + | 0.600842i | ||||
\(623\) | 36.5367 | + | 16.9037i | 1.46381 | + | 0.677231i | ||||
\(624\) | 0.809003 | − | 0.374285i | 0.0323860 | − | 0.0149834i | ||||
\(625\) | 13.2568 | − | 15.6071i | 0.530271 | − | 0.624283i | ||||
\(626\) | 10.2143 | − | 6.14573i | 0.408245 | − | 0.245633i | ||||
\(627\) | 24.7773 | + | 2.69470i | 0.989512 | + | 0.107616i | ||||
\(628\) | 1.18534 | − | 7.23027i | 0.0473003 | − | 0.288519i | ||||
\(629\) | 6.60351 | + | 6.25518i | 0.263299 | + | 0.249410i | ||||
\(630\) | −14.2332 | + | 4.79572i | −0.567064 | + | 0.191066i | ||||
\(631\) | 23.7829 | + | 14.3097i | 0.946781 | + | 0.569659i | 0.903121 | − | 0.429387i | \(-0.141270\pi\) |
0.0436606 | + | 0.999046i | \(0.486098\pi\) | |||||||
\(632\) | 10.1597 | + | 7.72317i | 0.404129 | + | 0.307211i | ||||
\(633\) | 9.12555 | − | 22.9034i | 0.362708 | − | 0.910329i | ||||
\(634\) | −10.9497 | + | 16.1496i | −0.434869 | + | 0.641383i | ||||
\(635\) | −11.1103 | − | 67.7701i | −0.440901 | − | 2.68937i | ||||
\(636\) | 0.688442 | + | 12.6976i | 0.0272985 | + | 0.503491i | ||||
\(637\) | −7.27251 | − | 1.60080i | −0.288148 | − | 0.0634261i | ||||
\(638\) | −7.78772 | − | 19.5457i | −0.308319 | − | 0.773822i | ||||
\(639\) | −2.32549 | + | 8.37566i | −0.0919950 | + | 0.331336i | ||||
\(640\) | −0.207516 | + | 3.82742i | −0.00820281 | + | 0.151292i | ||||
\(641\) | −38.7441 | + | 4.21367i | −1.53030 | + | 0.166430i | −0.834178 | − | 0.551495i | \(-0.814058\pi\) |
−0.696120 | + | 0.717925i | \(0.745092\pi\) | |||||||
\(642\) | −1.34108 | + | 1.01946i | −0.0529283 | + | 0.0402350i | ||||
\(643\) | 10.9325 | + | 39.3752i | 0.431134 | + | 1.55280i | 0.786205 | + | 0.617965i | \(0.212043\pi\) |
−0.355071 | + | 0.934839i | \(0.615543\pi\) | |||||||
\(644\) | 25.3892 | − | 5.58859i | 1.00048 | − | 0.220221i | ||||
\(645\) | −4.78270 | − | 7.05396i | −0.188319 | − | 0.277749i | ||||
\(646\) | 16.9166 | − | 16.0243i | 0.665576 | − | 0.630467i | ||||
\(647\) | −1.47075 | + | 2.77412i | −0.0578210 | + | 0.109062i | −0.910738 | − | 0.412984i | \(-0.864486\pi\) |
0.852917 | + | 0.522046i | \(0.174831\pi\) | |||||||
\(648\) | 1.00000 | 0.0392837 | ||||||||
\(649\) | 23.5327 | + | 23.2578i | 0.923740 | + | 0.912948i | ||||
\(650\) | −8.63950 | −0.338869 | ||||||||
\(651\) | −14.6507 | + | 27.6341i | −0.574205 | + | 1.08307i | ||||
\(652\) | −15.7723 | + | 14.9403i | −0.617692 | + | 0.585109i | ||||
\(653\) | −8.61781 | − | 12.7103i | −0.337241 | − | 0.497393i | 0.620822 | − | 0.783952i | \(-0.286799\pi\) |
−0.958063 | + | 0.286559i | \(0.907489\pi\) | |||||||
\(654\) | 10.2444 | − | 2.25497i | 0.400589 | − | 0.0881764i | ||||
\(655\) | 1.91360 | + | 6.89216i | 0.0747705 | + | 0.269299i | ||||
\(656\) | 4.13283 | − | 3.14169i | 0.161360 | − | 0.122662i | ||||
\(657\) | 0.479452 | − | 0.0521436i | 0.0187052 | − | 0.00203431i | ||||
\(658\) | 0.365659 | − | 6.74418i | 0.0142549 | − | 0.262915i | ||||
\(659\) | 9.82552 | − | 35.3883i | 0.382748 | − | 1.37853i | −0.481931 | − | 0.876209i | \(-0.660064\pi\) |
0.864679 | − | 0.502325i | \(-0.167522\pi\) | |||||||
\(660\) | −6.11127 | − | 15.3381i | −0.237881 | − | 0.597036i | ||||
\(661\) | 31.9079 | + | 7.02347i | 1.24108 | + | 0.273181i | 0.786535 | − | 0.617545i | \(-0.211873\pi\) |
0.454540 | + | 0.890726i | \(0.349804\pi\) | |||||||
\(662\) | 1.57431 | + | 29.0364i | 0.0611872 | + | 1.12853i | ||||
\(663\) | 0.580757 | + | 3.54246i | 0.0225547 | + | 0.137578i | ||||
\(664\) | 6.41088 | − | 9.45534i | 0.248790 | − | 0.366938i | ||||
\(665\) | −32.1662 | + | 80.7312i | −1.24735 | + | 3.13062i | ||||
\(666\) | 1.79808 | + | 1.36686i | 0.0696740 | + | 0.0529648i | ||||
\(667\) | 27.7680 | + | 16.7074i | 1.07518 | + | 0.646915i | ||||
\(668\) | 21.7710 | − | 7.33552i | 0.842347 | − | 0.283820i | ||||
\(669\) | −11.8531 | − | 11.2278i | −0.458266 | − | 0.434093i | ||||
\(670\) | 2.88198 | − | 17.5793i | 0.111341 | − | 0.679148i | ||||
\(671\) | 28.2317 | + | 3.07038i | 1.08987 | + | 0.118531i | ||||
\(672\) | −3.35752 | + | 2.02015i | −0.129519 | + | 0.0779290i | ||||
\(673\) | 26.0044 | − | 30.6147i | 1.00239 | − | 1.18011i | 0.0187805 | − | 0.999824i | \(-0.494022\pi\) |
0.983614 | − | 0.180287i | \(-0.0577025\pi\) | |||||||
\(674\) | −13.7974 | + | 6.38337i | −0.531457 | + | 0.245878i | ||||
\(675\) | −8.79638 | − | 4.06964i | −0.338573 | − | 0.156640i | ||||
\(676\) | −7.90162 | − | 9.30251i | −0.303909 | − | 0.357789i | ||||
\(677\) | −8.28718 | − | 2.79228i | −0.318502 | − | 0.107316i | 0.155510 | − | 0.987834i | \(-0.450298\pi\) |
−0.474012 | + | 0.880518i | \(0.657195\pi\) | |||||||
\(678\) | −9.87858 | − | 18.6330i | −0.379385 | − | 0.715596i | ||||
\(679\) | 27.3006 | + | 51.4944i | 1.04770 | + | 1.97617i | ||||
\(680\) | −14.6281 | − | 4.92879i | −0.560964 | − | 0.189011i | ||||
\(681\) | −13.1510 | − | 15.4825i | −0.503947 | − | 0.593292i | ||||
\(682\) | −31.2054 | − | 14.4372i | −1.19492 | − | 0.552828i | ||||
\(683\) | 12.4113 | − | 5.74210i | 0.474907 | − | 0.219715i | −0.167810 | − | 0.985819i | \(-0.553669\pi\) |
0.642717 | + | 0.766104i | \(0.277807\pi\) | |||||||
\(684\) | 3.74582 | − | 4.40992i | 0.143225 | − | 0.168618i | ||||
\(685\) | −8.24350 | + | 4.95995i | −0.314968 | + | 0.189510i | ||||
\(686\) | 5.27420 | + | 0.573603i | 0.201370 | + | 0.0219003i | ||||
\(687\) | 3.99326 | − | 24.3578i | 0.152353 | − | 0.929309i | ||||
\(688\) | −1.61420 | − | 1.52905i | −0.0615407 | − | 0.0582944i | ||||
\(689\) | −10.7417 | + | 3.61931i | −0.409228 | + | 0.137885i | ||||
\(690\) | 21.7904 | + | 13.1108i | 0.829546 | + | 0.499121i | ||||
\(691\) | 15.5357 | + | 11.8100i | 0.591007 | + | 0.449272i | 0.857442 | − | 0.514581i | \(-0.172053\pi\) |
−0.266435 | + | 0.963853i | \(0.585846\pi\) | |||||||
\(692\) | −3.99261 | + | 10.0207i | −0.151776 | + | 0.380930i | ||||
\(693\) | 9.47201 | − | 13.9702i | 0.359812 | − | 0.530683i | ||||
\(694\) | −3.63913 | − | 22.1977i | −0.138140 | − | 0.842614i | ||||
\(695\) | 0.818907 | + | 15.1039i | 0.0310629 | + | 0.572922i | ||||
\(696\) | −4.77033 | − | 1.05003i | −0.180819 | − | 0.0398012i | ||||
\(697\) | 7.73827 | + | 19.4216i | 0.293108 | + | 0.735645i | ||||
\(698\) | 0.420513 | − | 1.51455i | 0.0159166 | − | 0.0573266i | ||||
\(699\) | −0.316096 | + | 5.83005i | −0.0119559 | + | 0.220513i | ||||
\(700\) | 37.7553 | − | 4.10613i | 1.42702 | − | 0.155197i | ||||
\(701\) | −9.21421 | + | 7.00446i | −0.348016 | + | 0.264555i | −0.764549 | − | 0.644566i | \(-0.777038\pi\) |
0.416533 | + | 0.909121i | \(0.363245\pi\) | |||||||
\(702\) | 0.238472 | + | 0.858898i | 0.00900054 | + | 0.0324170i | ||||
\(703\) | 12.7630 | − | 2.80935i | 0.481367 | − | 0.105957i | ||||
\(704\) | −2.41731 | − | 3.56526i | −0.0911057 | − | 0.134371i | ||||
\(705\) | 4.79660 | − | 4.54358i | 0.180650 | − | 0.171121i | ||||
\(706\) | 13.2474 | − | 24.9872i | 0.498572 | − | 0.940407i | ||||
\(707\) | −6.01493 | −0.226215 | ||||||||
\(708\) | 7.53489 | − | 1.49177i | 0.283179 | − | 0.0560643i | ||||
\(709\) | 42.4938 | 1.59589 | 0.797944 | − | 0.602732i | \(-0.205921\pi\) | ||||
0.797944 | + | 0.602732i | \(0.205921\pi\) | |||||||
\(710\) | 15.6068 | − | 29.4375i | 0.585711 | − | 1.10477i | ||||
\(711\) | −9.26508 | + | 8.77635i | −0.347468 | + | 0.329139i | ||||
\(712\) | 5.76559 | + | 8.50361i | 0.216075 | + | 0.318686i | ||||
\(713\) | 51.7205 | − | 11.3845i | 1.93695 | − | 0.426354i | ||||
\(714\) | −4.22159 | − | 15.2048i | −0.157989 | − | 0.569026i | ||||
\(715\) | 11.7165 | − | 8.90667i | 0.438173 | − | 0.333090i | ||||
\(716\) | 23.4545 | − | 2.55083i | 0.876535 | − | 0.0953290i | ||||
\(717\) | −0.0692187 | + | 1.27666i | −0.00258502 | + | 0.0476779i | ||||
\(718\) | 0.0719285 | − | 0.259063i | 0.00268435 | − | 0.00966814i | ||||
\(719\) | −11.7185 | − | 29.4113i | −0.437027 | − | 1.09686i | −0.968330 | − | 0.249674i | \(-0.919677\pi\) |
0.531302 | − | 0.847182i | \(-0.321703\pi\) | |||||||
\(720\) | −3.74342 | − | 0.823990i | −0.139509 | − | 0.0307083i | ||||
\(721\) | −0.0559087 | − | 1.03118i | −0.00208215 | − | 0.0384030i | ||||
\(722\) | −2.34238 | − | 14.2879i | −0.0871742 | − | 0.531739i | ||||
\(723\) | 3.12158 | − | 4.60398i | 0.116093 | − | 0.171224i | ||||
\(724\) | −0.990682 | + | 2.48643i | −0.0368184 | + | 0.0924073i | ||||
\(725\) | 37.6884 | + | 28.6500i | 1.39971 | + | 1.06403i | ||||
\(726\) | 6.47311 | + | 3.89474i | 0.240240 | + | 0.144547i | ||||
\(727\) | 30.7712 | − | 10.3680i | 1.14124 | − | 0.384528i | 0.315692 | − | 0.948862i | \(-0.397763\pi\) |
0.825547 | + | 0.564333i | \(0.190867\pi\) | |||||||
\(728\) | −2.53578 | − | 2.40202i | −0.0939822 | − | 0.0890246i | ||||
\(729\) | −0.161782 | + | 0.986827i | −0.00599193 | + | 0.0365491i | ||||
\(730\) | −1.83776 | − | 0.199868i | −0.0680185 | − | 0.00739746i | ||||
\(731\) | 7.67234 | − | 4.61629i | 0.283772 | − | 0.170740i | ||||
\(732\) | 4.26805 | − | 5.02474i | 0.157752 | − | 0.185720i | ||||
\(733\) | −9.18089 | + | 4.24753i | −0.339104 | + | 0.156886i | −0.582049 | − | 0.813154i | \(-0.697749\pi\) |
0.242945 | + | 0.970040i | \(0.421887\pi\) | |||||||
\(734\) | −12.7113 | − | 5.88089i | −0.469184 | − | 0.217068i | ||||
\(735\) | 20.7299 | + | 24.4052i | 0.764635 | + | 0.900198i | ||||
\(736\) | 6.28728 | + | 2.11843i | 0.231752 | + | 0.0780865i | ||||
\(737\) | 9.37706 | + | 17.6870i | 0.345409 | + | 0.651510i | ||||
\(738\) | 2.43169 | + | 4.58665i | 0.0895117 | + | 0.168837i | ||||
\(739\) | −12.1848 | − | 4.10555i | −0.448226 | − | 0.151025i | 0.0861308 | − | 0.996284i | \(-0.472550\pi\) |
−0.534357 | + | 0.845259i | \(0.679446\pi\) | |||||||
\(740\) | −5.60468 | − | 6.59834i | −0.206032 | − | 0.242560i | ||||
\(741\) | 4.68095 | + | 2.16564i | 0.171959 | + | 0.0795566i | ||||
\(742\) | 45.2221 | − | 20.9220i | 1.66015 | − | 0.768069i | ||||
\(743\) | 16.8301 | − | 19.8140i | 0.617438 | − | 0.726904i | −0.361202 | − | 0.932488i | \(-0.617633\pi\) |
0.978640 | + | 0.205584i | \(0.0659093\pi\) | |||||||
\(744\) | −6.83961 | + | 4.11526i | −0.250752 | + | 0.150873i | ||||
\(745\) | −45.0268 | − | 4.89696i | −1.64965 | − | 0.179411i | ||||
\(746\) | −2.82998 | + | 17.2621i | −0.103613 | + | 0.632011i | ||||
\(747\) | 8.29361 | + | 7.85613i | 0.303447 | + | 0.287441i | ||||
\(748\) | 16.4388 | − | 5.53888i | 0.601063 | − | 0.202522i | ||||
\(749\) | 5.65600 | + | 3.40310i | 0.206666 | + | 0.124347i | ||||
\(750\) | 14.3180 | + | 10.8842i | 0.522818 | + | 0.397436i | ||||
\(751\) | 2.16684 | − | 5.43835i | 0.0790690 | − | 0.198448i | −0.884128 | − | 0.467245i | \(-0.845247\pi\) |
0.963197 | + | 0.268797i | \(0.0866259\pi\) | |||||||
\(752\) | 0.967307 | − | 1.42667i | 0.0352740 | − | 0.0520253i | ||||
\(753\) | 4.12963 | + | 25.1896i | 0.150492 | + | 0.917961i | ||||
\(754\) | −0.235721 | − | 4.34763i | −0.00858447 | − | 0.158331i | ||||
\(755\) | −11.1068 | − | 2.44479i | −0.404217 | − | 0.0889748i | ||||
\(756\) | −1.45035 | − | 3.64011i | −0.0527488 | − | 0.132390i | ||||
\(757\) | 7.07194 | − | 25.4708i | 0.257034 | − | 0.925754i | −0.716571 | − | 0.697514i | \(-0.754289\pi\) |
0.973605 | − | 0.228239i | \(-0.0732968\pi\) | |||||||
\(758\) | 1.34731 | − | 24.8497i | 0.0489366 | − | 0.902582i | ||||
\(759\) | −28.4109 | + | 3.08987i | −1.03125 | + | 0.112155i | ||||
\(760\) | −17.6559 | + | 13.4217i | −0.640448 | + | 0.486856i | ||||
\(761\) | 10.3724 | + | 37.3581i | 0.376000 | + | 1.35423i | 0.873525 | + | 0.486780i | \(0.161829\pi\) |
−0.497525 | + | 0.867450i | \(0.665758\pi\) | |||||||
\(762\) | 17.4977 | − | 3.85153i | 0.633874 | − | 0.139526i | ||||
\(763\) | −23.0664 | − | 34.0204i | −0.835060 | − | 1.23162i | ||||
\(764\) | 6.01665 | − | 5.69927i | 0.217675 | − | 0.206192i | ||||
\(765\) | 7.23043 | − | 13.6380i | 0.261417 | − | 0.493085i | ||||
\(766\) | 9.07479 | 0.327885 | ||||||||
\(767\) | 3.07814 | + | 6.11596i | 0.111145 | + | 0.220834i | ||||
\(768\) | −1.00000 | −0.0360844 | ||||||||
\(769\) | −5.65831 | + | 10.6727i | −0.204044 | + | 0.384867i | −0.964323 | − | 0.264729i | \(-0.914717\pi\) |
0.760279 | + | 0.649597i | \(0.225062\pi\) | |||||||
\(770\) | −46.9690 | + | 44.4914i | −1.69265 | + | 1.60336i | ||||
\(771\) | −8.24279 | − | 12.1572i | −0.296857 | − | 0.437831i | ||||
\(772\) | −16.2012 | + | 3.56616i | −0.583096 | + | 0.128349i | ||||
\(773\) | −13.4084 | − | 48.2926i | −0.482265 | − | 1.73696i | −0.658467 | − | 0.752609i | \(-0.728795\pi\) |
0.176202 | − | 0.984354i | \(-0.443619\pi\) | |||||||
\(774\) | 1.77005 | − | 1.34556i | 0.0636233 | − | 0.0483652i | ||||
\(775\) | 76.9114 | − | 8.36462i | 2.76274 | − | 0.300466i | ||||
\(776\) | −0.805280 | + | 14.8525i | −0.0289079 | + | 0.533174i | ||||
\(777\) | 2.36768 | − | 8.52763i | 0.0849402 | − | 0.305927i | ||||
\(778\) | 4.57742 | + | 11.4885i | 0.164108 | + | 0.411881i | ||||
\(779\) | 29.3354 | + | 6.45722i | 1.05105 | + | 0.231354i | ||||
\(780\) | −0.184978 | − | 3.41172i | −0.00662327 | − | 0.122159i | ||||
\(781\) | 6.05758 | + | 36.9496i | 0.216757 | + | 1.32216i | ||||
\(782\) | −14.9940 | + | 22.1145i | −0.536185 | + | 0.790814i | ||||
\(783\) | 1.80795 | − | 4.53761i | 0.0646108 | − | 0.162161i | ||||
\(784\) | 6.65051 | + | 5.05559i | 0.237518 | + | 0.180557i | ||||
\(785\) | −24.0639 | − | 14.4787i | −0.858876 | − | 0.516769i | ||||
\(786\) | −1.76843 | + | 0.595853i | −0.0630777 | + | 0.0212534i | ||||
\(787\) | −18.4099 | − | 17.4388i | −0.656242 | − | 0.621625i | 0.285333 | − | 0.958428i | \(-0.407896\pi\) |
−0.941575 | + | 0.336803i | \(0.890654\pi\) | |||||||
\(788\) | −1.84080 | + | 11.2284i | −0.0655758 | + | 0.399995i | ||||
\(789\) | −9.45339 | − | 1.02812i | −0.336550 | − | 0.0366020i | ||||
\(790\) | 41.9147 | − | 25.2193i | 1.49126 | − | 0.897261i | ||||
\(791\) | −53.4987 | + | 62.9836i | −1.90220 | + | 2.23944i | ||||
\(792\) | 3.90937 | − | 1.80867i | 0.138914 | − | 0.0642682i | ||||
\(793\) | 5.33355 | + | 2.46756i | 0.189400 | + | 0.0876257i | ||||
\(794\) | 2.19350 | + | 2.58239i | 0.0778445 | + | 0.0916457i | ||||
\(795\) | 46.1902 | + | 15.5633i | 1.63820 | + | 0.551974i | ||||
\(796\) | 2.28079 | + | 4.30203i | 0.0808405 | + | 0.152481i | ||||
\(797\) | 13.4228 | + | 25.3180i | 0.475458 | + | 0.896809i | 0.998996 | + | 0.0448067i | \(0.0142672\pi\) |
−0.523537 | + | 0.852003i | \(0.675388\pi\) | |||||||
\(798\) | −21.4854 | − | 7.23927i | −0.760574 | − | 0.256267i | ||||
\(799\) | 4.49383 | + | 5.29055i | 0.158980 | + | 0.187166i | ||||
\(800\) | 8.79638 | + | 4.06964i | 0.310999 | + | 0.143883i | ||||
\(801\) | −9.32436 | + | 4.31391i | −0.329460 | + | 0.152424i | ||||
\(802\) | −9.69376 | + | 11.4124i | −0.342299 | + | 0.402985i | ||||
\(803\) | 1.78005 | − | 1.07102i | 0.0628165 | − | 0.0377954i | ||||
\(804\) | 4.62024 | + | 0.502481i | 0.162943 | + | 0.0177211i | ||||
\(805\) | 16.1212 | − | 98.3349i | 0.568197 | − | 3.46585i | ||||
\(806\) | −5.16564 | − | 4.89316i | −0.181952 | − | 0.172354i | ||||
\(807\) | −4.86078 | + | 1.63779i | −0.171108 | + | 0.0576528i | ||||
\(808\) | −1.31531 | − | 0.791398i | −0.0462726 | − | 0.0278413i | ||||
\(809\) | −21.6488 | − | 16.4570i | −0.761131 | − | 0.578597i | 0.150981 | − | 0.988537i | \(-0.451757\pi\) |
−0.912113 | + | 0.409940i | \(0.865550\pi\) | |||||||
\(810\) | 1.41875 | − | 3.56080i | 0.0498499 | − | 0.125114i | ||||
\(811\) | −3.78168 | + | 5.57756i | −0.132793 | + | 0.195855i | −0.888272 | − | 0.459318i | \(-0.848094\pi\) |
0.755479 | + | 0.655173i | \(0.227404\pi\) | |||||||
\(812\) | 3.09644 | + | 18.8874i | 0.108664 | + | 0.662819i | ||||
\(813\) | 0.535983 | + | 9.88563i | 0.0187978 | + | 0.346704i | ||||
\(814\) | 9.50155 | + | 2.09145i | 0.333029 | + | 0.0733053i | ||||
\(815\) | 30.8226 | + | 77.3588i | 1.07967 | + | 2.70976i | ||||
\(816\) | 1.07737 | − | 3.88035i | 0.0377156 | − | 0.135839i | ||||
\(817\) | 0.696491 | − | 12.8460i | 0.0243672 | − | 0.449426i | ||||
\(818\) | 20.7808 | − | 2.26005i | 0.726584 | − | 0.0790208i | ||||
\(819\) | 2.78062 | − | 2.11377i | 0.0971626 | − | 0.0738611i | ||||
\(820\) | −5.32349 | − | 19.1735i | −0.185904 | − | 0.669566i | ||||
\(821\) | 23.6068 | − | 5.19625i | 0.823883 | − | 0.181350i | 0.217030 | − | 0.976165i | \(-0.430363\pi\) |
0.606852 | + | 0.794815i | \(0.292432\pi\) | |||||||
\(822\) | −1.40854 | − | 2.07743i | −0.0491283 | − | 0.0724589i | ||||
\(823\) | −10.7980 | + | 10.2284i | −0.376395 | + | 0.356540i | −0.852389 | − | 0.522908i | \(-0.824847\pi\) |
0.475994 | + | 0.879449i | \(0.342088\pi\) | |||||||
\(824\) | 0.123448 | − | 0.232848i | 0.00430052 | − | 0.00811164i | ||||
\(825\) | −41.7490 | −1.45351 | ||||||||
\(826\) | −16.3585 | − | 25.2643i | −0.569184 | − | 0.879056i | ||||
\(827\) | −41.8657 | −1.45581 | −0.727907 | − | 0.685675i | \(-0.759507\pi\) | ||||
−0.727907 | + | 0.685675i | \(0.759507\pi\) | |||||||
\(828\) | −3.10770 | + | 5.86173i | −0.108000 | + | 0.203709i | ||||
\(829\) | −3.36878 | + | 3.19108i | −0.117003 | + | 0.110831i | −0.743964 | − | 0.668219i | \(-0.767057\pi\) |
0.626962 | + | 0.779050i | \(0.284298\pi\) | |||||||
\(830\) | −24.5731 | − | 36.2427i | −0.852946 | − | 1.25800i | ||||
\(831\) | −23.3458 | + | 5.13881i | −0.809858 | + | 0.178263i | ||||
\(832\) | −0.238472 | − | 0.858898i | −0.00826752 | − | 0.0297769i | ||||
\(833\) | −26.7825 | + | 20.3596i | −0.927960 | + | 0.705417i | ||||
\(834\) | −3.92310 | + | 0.426662i | −0.135846 | + | 0.0147741i | ||||
\(835\) | 4.76741 | − | 87.9297i | 0.164983 | − | 3.04293i | ||||
\(836\) | 6.66773 | − | 24.0150i | 0.230608 | − | 0.830575i | ||||
\(837\) | −2.95452 | − | 7.41529i | −0.102123 | − | 0.256310i | ||||
\(838\) | 22.4406 | + | 4.93955i | 0.775198 | + | 0.170634i | ||||
\(839\) | −0.900636 | − | 16.6113i | −0.0310934 | − | 0.573484i | −0.972024 | − | 0.234883i | \(-0.924529\pi\) |
0.940930 | − | 0.338601i | \(-0.109954\pi\) | |||||||
\(840\) | 2.42987 | + | 14.8216i | 0.0838385 | + | 0.511392i | ||||
\(841\) | 2.88530 | − | 4.25549i | 0.0994930 | − | 0.146741i | ||||
\(842\) | −5.70691 | + | 14.3233i | −0.196673 | + | 0.493612i | ||||
\(843\) | 6.82562 | + | 5.18870i | 0.235087 | + | 0.178708i | ||||
\(844\) | −21.1253 | − | 12.7107i | −0.727164 | − | 0.437520i | ||||
\(845\) | −44.3349 | + | 14.9382i | −1.52517 | + | 0.513888i | ||||
\(846\) | 1.25138 | + | 1.18537i | 0.0430234 | + | 0.0407540i | ||||
\(847\) | 4.78900 | − | 29.2116i | 0.164552 | − | 1.00372i | ||||
\(848\) | 12.6417 | + | 1.37486i | 0.434117 | + | 0.0472130i | ||||
\(849\) | −3.17070 | + | 1.90775i | −0.108818 | + | 0.0654738i | ||||
\(850\) | −25.2686 | + | 29.7485i | −0.866706 | + | 1.02037i | ||||
\(851\) | −13.6001 | + | 6.29205i | −0.466204 | + | 0.215689i | ||||
\(852\) | 7.88910 | + | 3.64989i | 0.270276 | + | 0.125043i | ||||
\(853\) | −11.9647 | − | 14.0859i | −0.409663 | − | 0.482293i | 0.518176 | − | 0.855274i | \(-0.326611\pi\) |
−0.927839 | + | 0.372981i | \(0.878336\pi\) | |||||||
\(854\) | −24.4808 | − | 8.24854i | −0.837716 | − | 0.282259i | ||||
\(855\) | −10.3885 | − | 19.5947i | −0.355278 | − | 0.670125i | ||||
\(856\) | 0.789071 | + | 1.48835i | 0.0269699 | + | 0.0508706i | ||||
\(857\) | −33.5272 | − | 11.2966i | −1.14527 | − | 0.385886i | −0.318220 | − | 0.948017i | \(-0.603085\pi\) |
−0.827048 | + | 0.562131i | \(0.809982\pi\) | |||||||
\(858\) | 2.48574 | + | 2.92644i | 0.0848617 | + | 0.0999069i | ||||
\(859\) | 14.4015 | + | 6.66284i | 0.491372 | + | 0.227333i | 0.649897 | − | 0.760022i | \(-0.274812\pi\) |
−0.158525 | + | 0.987355i | \(0.550674\pi\) | |||||||
\(860\) | −7.73479 | + | 3.57849i | −0.263754 | + | 0.122026i | ||||
\(861\) | 13.1691 | − | 15.5039i | 0.448802 | − | 0.528371i | ||||
\(862\) | 3.40574 | − | 2.04917i | 0.116000 | − | 0.0697948i | ||||
\(863\) | 19.4857 | + | 2.11919i | 0.663300 | + | 0.0721382i | 0.433575 | − | 0.901117i | \(-0.357252\pi\) |
0.229725 | + | 0.973256i | \(0.426217\pi\) | |||||||
\(864\) | 0.161782 | − | 0.986827i | 0.00550394 | − | 0.0335725i | ||||
\(865\) | 30.0172 | + | 28.4338i | 1.02061 | + | 0.966778i | ||||
\(866\) | −19.5218 | + | 6.57766i | −0.663378 | + | 0.223518i | ||||
\(867\) | −0.670189 | − | 0.403239i | −0.0227608 | − | 0.0136947i | ||||
\(868\) | 24.8999 | + | 18.9284i | 0.845156 | + | 0.642471i | ||||
\(869\) | −20.3471 | + | 51.0675i | −0.690229 | + | 1.73235i | ||||
\(870\) | −10.5069 | + | 15.4965i | −0.356216 | + | 0.525379i | ||||
\(871\) | 0.670217 | + | 4.08814i | 0.0227094 | + | 0.138521i | ||||
\(872\) | −0.567900 | − | 10.4743i | −0.0192315 | − | 0.354704i | ||||
\(873\) | −14.5266 | − | 3.19754i | −0.491650 | − | 0.108220i | ||||
\(874\) | 14.2089 | + | 35.6617i | 0.480624 | + | 1.20628i | ||||
\(875\) | 18.8537 | − | 67.9049i | 0.637372 | − | 2.29561i | ||||
\(876\) | 0.0261101 | − | 0.481572i | 0.000882178 | − | 0.0162708i | ||||
\(877\) | −45.9643 | + | 4.99892i | −1.55210 | + | 0.168802i | −0.843626 | − | 0.536931i | \(-0.819584\pi\) |
−0.708479 | + | 0.705732i | \(0.750618\pi\) | |||||||
\(878\) | −11.8822 | + | 9.03262i | −0.401005 | + | 0.304836i | ||||
\(879\) | −1.10514 | − | 3.98034i | −0.0372753 | − | 0.134253i | ||||
\(880\) | −16.1248 | + | 3.54933i | −0.543566 | + | 0.119648i | ||||
\(881\) | −10.6730 | − | 15.7414i | −0.359581 | − | 0.530343i | 0.604271 | − | 0.796779i | \(-0.293464\pi\) |
−0.963853 | + | 0.266436i | \(0.914154\pi\) | |||||||
\(882\) | −6.06492 | + | 5.74500i | −0.204217 | + | 0.193444i | ||||
\(883\) | −9.08887 | + | 17.1434i | −0.305865 | + | 0.576922i | −0.988027 | − | 0.154278i | \(-0.950695\pi\) |
0.682163 | + | 0.731200i | \(0.261040\pi\) | |||||||
\(884\) | 3.58975 | 0.120736 | ||||||||
\(885\) | 5.37824 | − | 28.9467i | 0.180788 | − | 0.973033i | ||||
\(886\) | −21.2412 | −0.713611 | ||||||||
\(887\) | 22.7700 | − | 42.9488i | 0.764543 | − | 1.44208i | −0.128311 | − | 0.991734i | \(-0.540956\pi\) |
0.892854 | − | 0.450346i | \(-0.148699\pi\) | |||||||
\(888\) | 1.63975 | − | 1.55326i | 0.0550265 | − | 0.0521238i | ||||
\(889\) | −39.3978 | − | 58.1074i | −1.32136 | − | 1.94886i | ||||
\(890\) | 38.4596 | − | 8.46560i | 1.28917 | − | 0.283768i | ||||
\(891\) | 1.15238 | + | 4.15048i | 0.0386060 | + | 0.139046i | ||||
\(892\) | −12.9975 | + | 9.88047i | −0.435190 | + | 0.330823i | ||||
\(893\) | 9.91486 | − | 1.07831i | 0.331788 | − | 0.0360841i | ||||
\(894\) | 0.639721 | − | 11.7990i | 0.0213955 | − | 0.394616i | ||||
\(895\) | 24.1931 | − | 87.1358i | 0.808687 | − | 2.91263i | ||||
\(896\) | 1.45035 | + | 3.64011i | 0.0484529 | + | 0.121608i | ||||
\(897\) | −5.77573 | − | 1.27133i | −0.192846 | − | 0.0424486i | ||||
\(898\) | −1.20923 | − | 22.3029i | −0.0403524 | − | 0.744256i | ||||
\(899\) | 6.30777 | + | 38.4757i | 0.210376 | + | 1.28324i | ||||
\(900\) | −5.43912 | + | 8.02211i | −0.181304 | + | 0.267404i | ||||
\(901\) | −18.9548 | + | 47.5729i | −0.631475 | + | 1.58488i | ||||
\(902\) | 17.8021 | + | 13.5328i | 0.592745 | + | 0.450593i | ||||
\(903\) | −7.46519 | − | 4.49166i | −0.248426 | − | 0.149473i | ||||
\(904\) | −19.9857 | + | 6.73397i | −0.664715 | + | 0.223968i | ||||
\(905\) | 7.44813 | + | 7.05525i | 0.247584 | + | 0.234524i | ||||
\(906\) | 0.480009 | − | 2.92792i | 0.0159472 | − | 0.0972738i | ||||
\(907\) | 8.69441 | + | 0.945574i | 0.288693 | + | 0.0313973i | 0.251320 | − | 0.967904i | \(-0.419135\pi\) |
0.0373733 | + | 0.999301i | \(0.488101\pi\) | |||||||
\(908\) | −17.4062 | + | 10.4729i | −0.577644 | + | 0.347557i | ||||
\(909\) | 0.993767 | − | 1.16995i | 0.0329612 | − | 0.0388049i | ||||
\(910\) | −12.1507 | + | 5.62153i | −0.402793 | + | 0.186352i | ||||
\(911\) | 26.4319 | + | 12.2287i | 0.875727 | + | 0.405155i | 0.805653 | − | 0.592387i | \(-0.201814\pi\) |
0.0700738 | + | 0.997542i | \(0.477677\pi\) | |||||||
\(912\) | −3.74582 | − | 4.40992i | −0.124037 | − | 0.146027i | ||||
\(913\) | 46.6320 | + | 15.7121i | 1.54329 | + | 0.519996i | ||||
\(914\) | −6.47406 | − | 12.2114i | −0.214143 | − | 0.403916i | ||||
\(915\) | −11.8368 | − | 22.3266i | −0.391312 | − | 0.738093i | ||||
\(916\) | −23.3909 | − | 7.88132i | −0.772858 | − | 0.260406i | ||||
\(917\) | 4.73382 | + | 5.57308i | 0.156324 | + | 0.184039i | ||||
\(918\) | 3.65493 | + | 1.69095i | 0.120631 | + | 0.0558097i | ||||
\(919\) | 35.3848 | − | 16.3707i | 1.16724 | − | 0.540021i | 0.262058 | − | 0.965052i | \(-0.415599\pi\) |
0.905179 | + | 0.425031i | \(0.139737\pi\) | |||||||
\(920\) | 16.4634 | − | 19.3822i | 0.542783 | − | 0.639014i | ||||
\(921\) | 8.57760 | − | 5.16097i | 0.282642 | − | 0.170060i | ||||
\(922\) | −11.9478 | − | 1.29941i | −0.393481 | − | 0.0427937i | ||||
\(923\) | −1.25355 | + | 7.64633i | −0.0412612 | + | 0.251682i | ||||
\(924\) | −12.2537 | − | 11.6073i | −0.403118 | − | 0.381854i | ||||
\(925\) | −20.7451 | + | 6.98983i | −0.682094 | + | 0.229824i | ||||
\(926\) | 11.1155 | + | 6.68796i | 0.365277 | + | 0.219780i | ||||
\(927\) | 0.209809 | + | 0.159493i | 0.00689103 | + | 0.00523842i | ||||
\(928\) | −1.80795 | + | 4.53761i | −0.0593488 | + | 0.148954i | ||||
\(929\) | −13.8133 | + | 20.3731i | −0.453199 | + | 0.668419i | −0.983814 | − | 0.179194i | \(-0.942651\pi\) |
0.530614 | + | 0.847613i | \(0.321961\pi\) | |||||||
\(930\) | 4.94990 | + | 30.1930i | 0.162314 | + | 0.990069i | ||||
\(931\) | 2.61688 | + | 48.2656i | 0.0857649 | + | 1.58184i | ||||
\(932\) | 5.70211 | + | 1.25513i | 0.186779 | + | 0.0411131i | ||||
\(933\) | 7.27733 | + | 18.2647i | 0.238249 | + | 0.597960i | ||||
\(934\) | −9.28303 | + | 33.4345i | −0.303750 | + | 1.09401i | ||||
\(935\) | 3.59976 | − | 66.3937i | 0.117725 | − | 2.17131i | ||||
\(936\) | 0.886164 | − | 0.0963761i | 0.0289652 | − | 0.00315015i | ||||
\(937\) | 6.13638 | − | 4.66475i | 0.200467 | − | 0.152391i | −0.500125 | − | 0.865953i | \(-0.666713\pi\) |
0.700592 | + | 0.713562i | \(0.252919\pi\) | |||||||
\(938\) | −4.87189 | − | 17.5470i | −0.159073 | − | 0.572929i | ||||
\(939\) | 11.6419 | − | 2.56258i | 0.379920 | − | 0.0836268i | ||||
\(940\) | −3.70772 | − | 5.46848i | −0.120933 | − | 0.178362i | ||||
\(941\) | 30.0773 | − | 28.4907i | 0.980491 | − | 0.928770i | −0.0169794 | − | 0.999856i | \(-0.505405\pi\) |
0.997470 | + | 0.0710856i | \(0.0226463\pi\) | |||||||
\(942\) | 3.43193 | − | 6.47331i | 0.111818 | − | 0.210912i | ||||
\(943\) | −34.4427 | −1.12161 | ||||||||
\(944\) | −0.253112 | − | 7.67697i | −0.00823809 | − | 0.249864i | ||||
\(945\) | −15.0194 | −0.488582 | ||||||||
\(946\) | 4.48613 | − | 8.46174i | 0.145857 | − | 0.275115i | ||||
\(947\) | 10.7337 | − | 10.1675i | 0.348798 | − | 0.330399i | −0.493164 | − | 0.869936i | \(-0.664160\pi\) |
0.841961 | + | 0.539538i | \(0.181401\pi\) | |||||||
\(948\) | 7.16181 | + | 10.5629i | 0.232605 | + | 0.343066i | ||||
\(949\) | 0.419848 | − | 0.0924155i | 0.0136288 | − | 0.00299993i | ||||
\(950\) | 15.0029 | + | 54.0355i | 0.486758 | + | 1.75314i | ||||
\(951\) | −15.5331 | + | 11.8080i | −0.503696 | + | 0.382900i | ||||
\(952\) | −15.6875 | + | 1.70612i | −0.508434 | + | 0.0552956i | ||||
\(953\) | −0.200900 | + | 3.70539i | −0.00650780 | + | 0.120029i | 0.993474 | + | 0.114056i | \(0.0363842\pi\) |
−0.999982 | + | 0.00597363i | \(0.998099\pi\) | |||||||
\(954\) | −3.40195 | + | 12.2527i | −0.110142 | + | 0.396696i | ||||
\(955\) | −11.7578 | − | 29.5100i | −0.380475 | − | 0.954920i | ||||
\(956\) | 1.24865 | + | 0.274848i | 0.0403842 | + | 0.00888923i | ||||
\(957\) | −1.13909 | − | 21.0092i | −0.0368214 | − | 0.679131i | ||||
\(958\) | 1.82365 | + | 11.1238i | 0.0589194 | + | 0.359392i | ||||
\(959\) | −5.51922 | + | 8.14024i | −0.178225 | + | 0.262862i | ||||
\(960\) | −1.41875 | + | 3.56080i | −0.0457901 | + | 0.114924i | ||||
\(961\) | 26.0447 | + | 19.7987i | 0.840152 | + | 0.638667i | ||||
\(962\) | 1.72512 | + | 1.03797i | 0.0556202 | + | 0.0334656i | ||||
\(963\) | −1.59640 | + | 0.537889i | −0.0514432 | + | 0.0173332i | ||||
\(964\) | −4.03832 | − | 3.82530i | −0.130065 | − | 0.123204i | ||||
\(965\) | −10.2872 | + | 62.7489i | −0.331156 | + | 2.01996i | ||||
\(966\) | 25.8446 | + | 2.81077i | 0.831537 | + | 0.0904351i | ||||
\(967\) | −35.6127 | + | 21.4275i | −1.14523 | + | 0.689061i | −0.956143 | − | 0.292900i | \(-0.905380\pi\) |
−0.189085 | + | 0.981961i | \(0.560552\pi\) | |||||||
\(968\) | 4.89067 | − | 5.75774i | 0.157192 | − | 0.185061i | ||||
\(969\) | 21.1477 | − | 9.78396i | 0.679362 | − | 0.314306i | ||||
\(970\) | 51.7444 | + | 23.9395i | 1.66141 | + | 0.768651i | ||||
\(971\) | −22.8141 | − | 26.8588i | −0.732139 | − | 0.861940i | 0.262545 | − | 0.964920i | \(-0.415438\pi\) |
−0.994683 | + | 0.102979i | \(0.967162\pi\) | |||||||
\(972\) | 0.947653 | + | 0.319302i | 0.0303960 | + | 0.0102416i | ||||
\(973\) | 7.24297 | + | 13.6617i | 0.232199 | + | 0.437974i | ||||
\(974\) | 13.0391 | + | 24.5944i | 0.417801 | + | 0.788056i | ||||
\(975\) | −8.18725 | − | 2.75861i | −0.262202 | − | 0.0883461i | ||||
\(976\) | −4.26805 | − | 5.02474i | −0.136617 | − | 0.160838i | ||||
\(977\) | −19.1895 | − | 8.87800i | −0.613926 | − | 0.284032i | 0.0881803 | − | 0.996105i | \(-0.471895\pi\) |
−0.702106 | + | 0.712072i | \(0.747757\pi\) | |||||||
\(978\) | −19.7172 | + | 9.12213i | −0.630485 | + | 0.291694i | ||||
\(979\) | −28.6500 | + | 33.7293i | −0.915657 | + | 1.07799i | ||||
\(980\) | 27.4374 | − | 16.5085i | 0.876455 | − | 0.527346i | ||||
\(981\) | 10.4282 | + | 1.13413i | 0.332946 | + | 0.0362101i | ||||
\(982\) | 6.08722 | − | 37.1304i | 0.194251 | − | 1.18488i | ||||
\(983\) | −2.18900 | − | 2.07353i | −0.0698182 | − | 0.0661353i | 0.651995 | − | 0.758223i | \(-0.273932\pi\) |
−0.721813 | + | 0.692088i | \(0.756691\pi\) | |||||||
\(984\) | 4.91963 | − | 1.65762i | 0.156832 | − | 0.0528429i | ||||
\(985\) | 37.3704 | + | 22.4850i | 1.19072 | + | 0.716433i | ||||
\(986\) | −15.6597 | − | 11.9042i | −0.498706 | − | 0.379106i | ||||
\(987\) | 2.49994 | − | 6.27439i | 0.0795741 | − | 0.199716i | ||||
\(988\) | 2.89440 | − | 4.26892i | 0.0920831 | − | 0.135812i | ||||
\(989\) | 2.38653 | + | 14.5572i | 0.0758872 | + | 0.462891i | ||||
\(990\) | −0.893875 | − | 16.4866i | −0.0284092 | − | 0.523977i | ||||
\(991\) | 8.93375 | + | 1.96647i | 0.283790 | + | 0.0624669i | 0.354584 | − | 0.935024i | \(-0.384622\pi\) |
−0.0707944 | + | 0.997491i | \(0.522553\pi\) | |||||||
\(992\) | 2.95452 | + | 7.41529i | 0.0938061 | + | 0.235436i | ||||
\(993\) | −7.77947 | + | 28.0191i | −0.246874 | + | 0.889160i | ||||
\(994\) | 1.84401 | − | 34.0108i | 0.0584886 | − | 1.07876i | ||||
\(995\) | 18.5546 | − | 2.01793i | 0.588219 | − | 0.0639727i | ||||
\(996\) | 9.09439 | − | 6.91338i | 0.288167 | − | 0.219059i | ||||
\(997\) | 5.25719 | + | 18.9347i | 0.166497 | + | 0.599668i | 0.998960 | + | 0.0455876i | \(0.0145160\pi\) |
−0.832463 | + | 0.554080i | \(0.813070\pi\) | |||||||
\(998\) | −40.1651 | + | 8.84100i | −1.27140 | + | 0.279857i | ||||
\(999\) | 1.26751 | + | 1.86944i | 0.0401023 | + | 0.0591464i |
(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 | 354.2.e.c.19.1 | ✓ | 84 | |
59.28 | even | 29 | inner | 354.2.e.c.205.1 | yes | 84 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
354.2.e.c.19.1 | ✓ | 84 | 1.1 | even | 1 | trivial | |
354.2.e.c.205.1 | yes | 84 | 59.28 | even | 29 | inner |