Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [546,2,Mod(317,546)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(546, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 4, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("546.317");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 546.bv (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.35983195036\) |
Analytic rank: | \(0\) |
Dimension: | \(144\) |
Relative dimension: | \(36\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 515.9 | ||
Character | \(\chi\) | \(=\) | 546.515 |
Dual form | 546.2.bv.a.317.9 |
$q$-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 \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).
\(n\) | \(157\) | \(365\) | \(379\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(-1\) | \(e\left(\frac{1}{4}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.965926 | − | 0.258819i | −0.683013 | − | 0.183013i | ||||
\(3\) | −0.214218 | − | 1.71875i | −0.123679 | − | 0.992322i | ||||
\(4\) | 0.866025 | + | 0.500000i | 0.433013 | + | 0.250000i | ||||
\(5\) | −0.579405 | − | 0.155251i | −0.259118 | − | 0.0694304i | 0.126921 | − | 0.991913i | \(-0.459490\pi\) |
−0.386039 | + | 0.922482i | \(0.626157\pi\) | |||||||
\(6\) | −0.237927 | + | 1.71563i | −0.0971334 | + | 0.700404i | ||||
\(7\) | 0.0183841 | + | 2.64569i | 0.00694853 | + | 0.999976i | ||||
\(8\) | −0.707107 | − | 0.707107i | −0.250000 | − | 0.250000i | ||||
\(9\) | −2.90822 | + | 0.736375i | −0.969407 | + | 0.245458i | ||||
\(10\) | 0.519481 | + | 0.299922i | 0.164274 | + | 0.0948438i | ||||
\(11\) | 3.10273 | − | 0.831373i | 0.935507 | − | 0.250668i | 0.241306 | − | 0.970449i | \(-0.422424\pi\) |
0.694201 | + | 0.719781i | \(0.255758\pi\) | |||||||
\(12\) | 0.673858 | − | 1.59559i | 0.194526 | − | 0.460608i | ||||
\(13\) | 3.60424 | + | 0.0973883i | 0.999635 | + | 0.0270106i | ||||
\(14\) | 0.666997 | − | 2.56030i | 0.178262 | − | 0.684268i | ||||
\(15\) | −0.142719 | + | 1.02911i | −0.0368500 | + | 0.265716i | ||||
\(16\) | 0.500000 | + | 0.866025i | 0.125000 | + | 0.216506i | ||||
\(17\) | 2.59410 | − | 4.49310i | 0.629160 | − | 1.08974i | −0.358560 | − | 0.933507i | \(-0.616732\pi\) |
0.987721 | − | 0.156231i | \(-0.0499345\pi\) | |||||||
\(18\) | 2.99971 | + | 0.0414195i | 0.707039 | + | 0.00976267i | ||||
\(19\) | 2.15080 | − | 8.02689i | 0.493427 | − | 1.84149i | −0.0452411 | − | 0.998976i | \(-0.514406\pi\) |
0.538668 | − | 0.842518i | \(-0.318928\pi\) | |||||||
\(20\) | −0.424154 | − | 0.424154i | −0.0948438 | − | 0.0948438i | ||||
\(21\) | 4.54334 | − | 0.598351i | 0.991439 | − | 0.130571i | ||||
\(22\) | −3.21218 | −0.684839 | ||||||||
\(23\) | −0.637898 | − | 1.10487i | −0.133011 | − | 0.230382i | 0.791825 | − | 0.610748i | \(-0.209131\pi\) |
−0.924836 | + | 0.380366i | \(0.875798\pi\) | |||||||
\(24\) | −1.06387 | + | 1.36682i | −0.217161 | + | 0.279000i | ||||
\(25\) | −4.01852 | − | 2.32009i | −0.803704 | − | 0.464019i | ||||
\(26\) | −3.45622 | − | 1.02691i | −0.677820 | − | 0.201395i | ||||
\(27\) | 1.88864 | + | 4.84077i | 0.363469 | + | 0.931606i | ||||
\(28\) | −1.30692 | + | 2.30042i | −0.246985 | + | 0.434739i | ||||
\(29\) | 4.10654i | 0.762565i | 0.924459 | + | 0.381283i | \(0.124517\pi\) | ||||
−0.924459 | + | 0.381283i | \(0.875483\pi\) | |||||||
\(30\) | 0.404210 | − | 0.957107i | 0.0737984 | − | 0.174743i | ||||
\(31\) | −5.29917 | + | 1.41991i | −0.951758 | + | 0.255023i | −0.701108 | − | 0.713055i | \(-0.747311\pi\) |
−0.250650 | + | 0.968078i | \(0.580644\pi\) | |||||||
\(32\) | −0.258819 | − | 0.965926i | −0.0457532 | − | 0.170753i | ||||
\(33\) | −2.09358 | − | 5.15472i | −0.364446 | − | 0.897322i | ||||
\(34\) | −3.66860 | + | 3.66860i | −0.629160 | + | 0.629160i | ||||
\(35\) | 0.400094 | − | 1.53578i | 0.0676283 | − | 0.259594i | ||||
\(36\) | −2.88678 | − | 0.816391i | −0.481130 | − | 0.136065i | ||||
\(37\) | 3.77455 | + | 1.01139i | 0.620532 | + | 0.166271i | 0.555370 | − | 0.831604i | \(-0.312577\pi\) |
0.0651624 | + | 0.997875i | \(0.479243\pi\) | |||||||
\(38\) | −4.15502 | + | 7.19671i | −0.674034 | + | 1.16746i | ||||
\(39\) | −0.604705 | − | 6.21565i | −0.0968303 | − | 0.995301i | ||||
\(40\) | 0.299922 | + | 0.519481i | 0.0474219 | + | 0.0821371i | ||||
\(41\) | 5.19752 | − | 5.19752i | 0.811716 | − | 0.811716i | −0.173175 | − | 0.984891i | \(-0.555403\pi\) |
0.984891 | + | 0.173175i | \(0.0554027\pi\) | |||||||
\(42\) | −4.54340 | − | 0.597941i | −0.701062 | − | 0.0922643i | ||||
\(43\) | − | 9.47120i | − | 1.44434i | −0.691713 | − | 0.722172i | \(-0.743144\pi\) | ||
0.691713 | − | 0.722172i | \(-0.256856\pi\) | |||||||
\(44\) | 3.10273 | + | 0.831373i | 0.467754 | + | 0.125334i | ||||
\(45\) | 1.79936 | + | 0.0248453i | 0.268233 | + | 0.00370371i | ||||
\(46\) | 0.330201 | + | 1.23233i | 0.0486854 | + | 0.181696i | ||||
\(47\) | −1.48819 | + | 5.55402i | −0.217075 | + | 0.810137i | 0.768350 | + | 0.640030i | \(0.221078\pi\) |
−0.985426 | + | 0.170107i | \(0.945589\pi\) | |||||||
\(48\) | 1.38137 | − | 1.04489i | 0.199384 | − | 0.150818i | ||||
\(49\) | −6.99932 | + | 0.0972771i | −0.999903 | + | 0.0138967i | ||||
\(50\) | 3.28111 | + | 3.28111i | 0.464019 | + | 0.464019i | ||||
\(51\) | −8.27824 | − | 3.49610i | −1.15918 | − | 0.489553i | ||||
\(52\) | 3.07267 | + | 1.88646i | 0.426102 | + | 0.261605i | ||||
\(53\) | −1.48181 | − | 0.855522i | −0.203542 | − | 0.117515i | 0.394765 | − | 0.918782i | \(-0.370826\pi\) |
−0.598306 | + | 0.801267i | \(0.704159\pi\) | |||||||
\(54\) | −0.571402 | − | 5.16464i | −0.0777580 | − | 0.702818i | ||||
\(55\) | −1.92681 | −0.259811 | ||||||||
\(56\) | 1.85778 | − | 1.88378i | 0.248257 | − | 0.251731i | ||||
\(57\) | −14.2570 | − | 1.97719i | −1.88838 | − | 0.261885i | ||||
\(58\) | 1.06285 | − | 3.96661i | 0.139559 | − | 0.520842i | ||||
\(59\) | 3.14252 | − | 0.842037i | 0.409122 | − | 0.109624i | −0.0483876 | − | 0.998829i | \(-0.515408\pi\) |
0.457509 | + | 0.889205i | \(0.348742\pi\) | |||||||
\(60\) | −0.638155 | + | 0.819878i | −0.0823854 | + | 0.105846i | ||||
\(61\) | 0.398128 | + | 0.689579i | 0.0509751 | + | 0.0882915i | 0.890387 | − | 0.455204i | \(-0.150434\pi\) |
−0.839412 | + | 0.543496i | \(0.817100\pi\) | |||||||
\(62\) | 5.48610 | 0.696736 | ||||||||
\(63\) | −2.00168 | − | 7.68071i | −0.252188 | − | 0.967678i | ||||
\(64\) | 1.00000i | 0.125000i | ||||||||
\(65\) | −2.07319 | − | 0.615989i | −0.257148 | − | 0.0764041i | ||||
\(66\) | 0.688106 | + | 5.52094i | 0.0847000 | + | 0.679581i | ||||
\(67\) | 6.42620 | − | 1.72190i | 0.785085 | − | 0.210363i | 0.156060 | − | 0.987748i | \(-0.450121\pi\) |
0.629026 | + | 0.777385i | \(0.283454\pi\) | |||||||
\(68\) | 4.49310 | − | 2.59410i | 0.544869 | − | 0.314580i | ||||
\(69\) | −1.76235 | + | 1.33307i | −0.212162 | + | 0.160483i | ||||
\(70\) | −0.783950 | + | 1.37990i | −0.0937000 | + | 0.164929i | ||||
\(71\) | 8.81512 | − | 8.81512i | 1.04616 | − | 1.04616i | 0.0472805 | − | 0.998882i | \(-0.484945\pi\) |
0.998882 | − | 0.0472805i | \(-0.0150554\pi\) | |||||||
\(72\) | 2.57712 | + | 1.53573i | 0.303716 | + | 0.180987i | ||||
\(73\) | 1.65075 | + | 6.16069i | 0.193206 | + | 0.721054i | 0.992724 | + | 0.120412i | \(0.0384216\pi\) |
−0.799518 | + | 0.600642i | \(0.794912\pi\) | |||||||
\(74\) | −3.38417 | − | 1.95385i | −0.393401 | − | 0.227130i | ||||
\(75\) | −3.12683 | + | 7.40385i | −0.361055 | + | 0.854923i | ||||
\(76\) | 5.87609 | − | 5.87609i | 0.674034 | − | 0.674034i | ||||
\(77\) | 2.25659 | + | 8.19356i | 0.257163 | + | 0.933743i | ||||
\(78\) | −1.02463 | + | 6.16037i | −0.116016 | + | 0.697524i | ||||
\(79\) | −2.17550 | − | 3.76807i | −0.244763 | − | 0.423942i | 0.717302 | − | 0.696762i | \(-0.245377\pi\) |
−0.962065 | + | 0.272821i | \(0.912043\pi\) | |||||||
\(80\) | −0.155251 | − | 0.579405i | −0.0173576 | − | 0.0647795i | ||||
\(81\) | 7.91550 | − | 4.28308i | 0.879500 | − | 0.475898i | ||||
\(82\) | −6.36563 | + | 3.67520i | −0.702966 | + | 0.405858i | ||||
\(83\) | 9.60558 | − | 9.60558i | 1.05435 | − | 1.05435i | 0.0559134 | − | 0.998436i | \(-0.482193\pi\) |
0.998436 | − | 0.0559134i | \(-0.0178071\pi\) | |||||||
\(84\) | 4.23383 | + | 1.75348i | 0.461948 | + | 0.191321i | ||||
\(85\) | −2.20059 | + | 2.20059i | −0.238688 | + | 0.238688i | ||||
\(86\) | −2.45133 | + | 9.14848i | −0.264333 | + | 0.986506i | ||||
\(87\) | 7.05812 | − | 0.879694i | 0.756710 | − | 0.0943131i | ||||
\(88\) | −2.78183 | − | 1.60609i | −0.296544 | − | 0.171210i | ||||
\(89\) | 3.10650 | − | 11.5936i | 0.329288 | − | 1.22892i | −0.580642 | − | 0.814159i | \(-0.697198\pi\) |
0.909930 | − | 0.414762i | \(-0.136135\pi\) | |||||||
\(90\) | −1.73162 | − | 0.489708i | −0.182529 | − | 0.0516197i | ||||
\(91\) | −0.191398 | + | 9.53747i | −0.0200640 | + | 0.999799i | ||||
\(92\) | − | 1.27580i | − | 0.133011i | ||||||
\(93\) | 3.57565 | + | 8.80379i | 0.370777 | + | 0.912910i | ||||
\(94\) | 2.87497 | − | 4.97960i | 0.296531 | − | 0.513606i | ||||
\(95\) | −2.49237 | + | 4.31691i | −0.255712 | + | 0.442905i | ||||
\(96\) | −1.60474 | + | 0.651764i | −0.163783 | + | 0.0665204i | ||||
\(97\) | 9.09518 | + | 9.09518i | 0.923475 | + | 0.923475i | 0.997273 | − | 0.0737979i | \(-0.0235120\pi\) |
−0.0737979 | + | 0.997273i | \(0.523512\pi\) | |||||||
\(98\) | 6.78601 | + | 1.71760i | 0.685490 | + | 0.173503i | ||||
\(99\) | −8.41121 | + | 4.70259i | −0.845359 | + | 0.472628i | ||||
\(100\) | −2.32009 | − | 4.01852i | −0.232009 | − | 0.401852i | ||||
\(101\) | −5.76486 | + | 9.98503i | −0.573625 | + | 0.993548i | 0.422564 | + | 0.906333i | \(0.361130\pi\) |
−0.996190 | + | 0.0872149i | \(0.972203\pi\) | |||||||
\(102\) | 7.09130 | + | 5.51954i | 0.702144 | + | 0.546516i | ||||
\(103\) | 0.364990 | − | 0.210727i | 0.0359636 | − | 0.0207636i | −0.481910 | − | 0.876220i | \(-0.660057\pi\) |
0.517874 | + | 0.855457i | \(0.326724\pi\) | |||||||
\(104\) | −2.47972 | − | 2.61744i | −0.243156 | − | 0.256661i | ||||
\(105\) | −2.72533 | − | 0.358672i | −0.265965 | − | 0.0350028i | ||||
\(106\) | 1.20989 | + | 1.20989i | 0.117515 | + | 0.117515i | ||||
\(107\) | −11.0489 | + | 6.37909i | −1.06814 | + | 0.616690i | −0.927672 | − | 0.373396i | \(-0.878193\pi\) |
−0.140466 | + | 0.990086i | \(0.544860\pi\) | |||||||
\(108\) | −0.784775 | + | 5.13655i | −0.0755150 | + | 0.494265i | ||||
\(109\) | −6.59696 | + | 1.76765i | −0.631874 | + | 0.169310i | −0.560520 | − | 0.828141i | \(-0.689399\pi\) |
−0.0713542 | + | 0.997451i | \(0.522732\pi\) | |||||||
\(110\) | 1.86115 | + | 0.498695i | 0.177454 | + | 0.0475487i | ||||
\(111\) | 0.929749 | − | 6.70417i | 0.0882479 | − | 0.636332i | ||||
\(112\) | −2.28204 | + | 1.33876i | −0.215633 | + | 0.126501i | ||||
\(113\) | 16.8438i | 1.58453i | 0.610175 | + | 0.792267i | \(0.291099\pi\) | ||||
−0.610175 | + | 0.792267i | \(0.708901\pi\) | |||||||
\(114\) | 13.2594 | + | 5.59979i | 1.24186 | + | 0.524469i | ||||
\(115\) | 0.198069 | + | 0.739204i | 0.0184700 | + | 0.0689311i | ||||
\(116\) | −2.05327 | + | 3.55637i | −0.190641 | + | 0.330200i | ||||
\(117\) | −10.5536 | + | 2.37084i | −0.975683 | + | 0.219184i | ||||
\(118\) | −3.25338 | −0.299498 | ||||||||
\(119\) | 11.9350 | + | 6.78056i | 1.09408 | + | 0.621573i | ||||
\(120\) | 0.828610 | − | 0.626774i | 0.0756414 | − | 0.0572164i | ||||
\(121\) | −0.590549 | + | 0.340954i | −0.0536863 | + | 0.0309958i | ||||
\(122\) | −0.206086 | − | 0.769125i | −0.0186582 | − | 0.0696333i | ||||
\(123\) | −10.0466 | − | 7.81984i | −0.905876 | − | 0.705092i | ||||
\(124\) | −5.29917 | − | 1.41991i | −0.475879 | − | 0.127511i | ||||
\(125\) | 4.08893 | + | 4.08893i | 0.365725 | + | 0.365725i | ||||
\(126\) | −0.0544360 | + | 7.93707i | −0.00484955 | + | 0.707090i | ||||
\(127\) | − | 2.45849i | − | 0.218155i | −0.994033 | − | 0.109078i | \(-0.965210\pi\) | ||
0.994033 | − | 0.109078i | \(-0.0347897\pi\) | |||||||
\(128\) | 0.258819 | − | 0.965926i | 0.0228766 | − | 0.0853766i | ||||
\(129\) | −16.2787 | + | 2.02890i | −1.43326 | + | 0.178635i | ||||
\(130\) | 1.84312 | + | 1.13158i | 0.161652 | + | 0.0992463i | ||||
\(131\) | 18.1910 | − | 10.5026i | 1.58936 | − | 0.917616i | 0.595944 | − | 0.803026i | \(-0.296778\pi\) |
0.993413 | − | 0.114590i | \(-0.0365554\pi\) | |||||||
\(132\) | 0.764265 | − | 5.51091i | 0.0665208 | − | 0.479664i | ||||
\(133\) | 21.2762 | + | 5.54277i | 1.84488 | + | 0.480619i | ||||
\(134\) | −6.65289 | −0.574722 | ||||||||
\(135\) | −0.342753 | − | 3.09798i | −0.0294995 | − | 0.266632i | ||||
\(136\) | −5.01141 | + | 1.34280i | −0.429725 | + | 0.115144i | ||||
\(137\) | −5.66907 | + | 1.51902i | −0.484342 | + | 0.129779i | −0.492723 | − | 0.870186i | \(-0.663999\pi\) |
0.00838191 | + | 0.999965i | \(0.497332\pi\) | |||||||
\(138\) | 2.04733 | − | 0.831519i | 0.174280 | − | 0.0707836i | ||||
\(139\) | 3.39367 | 0.287847 | 0.143923 | − | 0.989589i | \(-0.454028\pi\) | ||||
0.143923 | + | 0.989589i | \(0.454028\pi\) | |||||||
\(140\) | 1.11438 | − | 1.12998i | 0.0941824 | − | 0.0955005i | ||||
\(141\) | 9.86478 | + | 1.36807i | 0.830764 | + | 0.115212i | ||||
\(142\) | −10.7963 | + | 6.23323i | −0.906003 | + | 0.523081i | ||||
\(143\) | 11.2639 | − | 2.69430i | 0.941937 | − | 0.225308i | ||||
\(144\) | −2.09183 | − | 2.15041i | −0.174319 | − | 0.179201i | ||||
\(145\) | 0.637545 | − | 2.37935i | 0.0529452 | − | 0.197594i | ||||
\(146\) | − | 6.37801i | − | 0.527848i | ||||||
\(147\) | 1.66658 | + | 12.0093i | 0.137457 | + | 0.990508i | ||||
\(148\) | 2.76316 | + | 2.76316i | 0.227130 | + | 0.227130i | ||||
\(149\) | −21.0577 | − | 5.64239i | −1.72511 | − | 0.462242i | −0.746065 | − | 0.665873i | \(-0.768059\pi\) |
−0.979048 | + | 0.203631i | \(0.934726\pi\) | |||||||
\(150\) | 4.93654 | − | 6.34228i | 0.403067 | − | 0.517845i | ||||
\(151\) | −2.93466 | − | 10.9523i | −0.238819 | − | 0.891286i | −0.976390 | − | 0.216016i | \(-0.930694\pi\) |
0.737571 | − | 0.675270i | \(-0.235973\pi\) | |||||||
\(152\) | −7.19671 | + | 4.15502i | −0.583730 | + | 0.337017i | ||||
\(153\) | −4.23559 | + | 14.9772i | −0.342427 | + | 1.21083i | ||||
\(154\) | −0.0590530 | − | 8.49842i | −0.00475862 | − | 0.684822i | ||||
\(155\) | 3.29081 | 0.264324 | ||||||||
\(156\) | 2.58414 | − | 5.68527i | 0.206896 | − | 0.455186i | ||||
\(157\) | −11.9352 | + | 20.6724i | −0.952533 | + | 1.64984i | −0.212619 | + | 0.977135i | \(0.568199\pi\) |
−0.739915 | + | 0.672701i | \(0.765134\pi\) | |||||||
\(158\) | 1.12612 | + | 4.20274i | 0.0895894 | + | 0.334352i | ||||
\(159\) | −1.15300 | + | 2.73013i | −0.0914389 | + | 0.216513i | ||||
\(160\) | 0.599845i | 0.0474219i | ||||||||
\(161\) | 2.91142 | − | 1.70799i | 0.229452 | − | 0.134609i | ||||
\(162\) | −8.75433 | + | 2.08846i | −0.687805 | + | 0.164085i | ||||
\(163\) | −1.30429 | − | 0.349483i | −0.102160 | − | 0.0273737i | 0.207377 | − | 0.978261i | \(-0.433507\pi\) |
−0.309537 | + | 0.950887i | \(0.600174\pi\) | |||||||
\(164\) | 7.09994 | − | 1.90242i | 0.554412 | − | 0.148554i | ||||
\(165\) | 0.412757 | + | 3.31171i | 0.0321331 | + | 0.257816i | ||||
\(166\) | −11.7644 | + | 6.79217i | −0.913093 | + | 0.527175i | ||||
\(167\) | 0.236454 | + | 0.236454i | 0.0182973 | + | 0.0182973i | 0.716196 | − | 0.697899i | \(-0.245882\pi\) |
−0.697899 | + | 0.716196i | \(0.745882\pi\) | |||||||
\(168\) | −3.63573 | − | 2.78953i | −0.280502 | − | 0.215217i | ||||
\(169\) | 12.9810 | + | 0.702021i | 0.998541 | + | 0.0540016i | ||||
\(170\) | 2.69516 | − | 1.55605i | 0.206710 | − | 0.119344i | ||||
\(171\) | −0.344198 | + | 24.9278i | −0.0263215 | + | 1.90627i | ||||
\(172\) | 4.73560 | − | 8.20230i | 0.361086 | − | 0.625420i | ||||
\(173\) | 12.6750 | + | 21.9538i | 0.963663 | + | 1.66911i | 0.713166 | + | 0.700996i | \(0.247261\pi\) |
0.250497 | + | 0.968117i | \(0.419406\pi\) | |||||||
\(174\) | −7.04531 | − | 0.977058i | −0.534103 | − | 0.0740706i | ||||
\(175\) | 6.06436 | − | 10.6744i | 0.458423 | − | 0.806909i | ||||
\(176\) | 2.27135 | + | 2.27135i | 0.171210 | + | 0.171210i | ||||
\(177\) | −2.12044 | − | 5.22084i | −0.159382 | − | 0.392423i | ||||
\(178\) | −6.00130 | + | 10.3946i | −0.449816 | + | 0.779105i | ||||
\(179\) | −1.48007 | + | 2.56356i | −0.110626 | + | 0.191609i | −0.916023 | − | 0.401126i | \(-0.868619\pi\) |
0.805397 | + | 0.592736i | \(0.201952\pi\) | |||||||
\(180\) | 1.54587 | + | 0.921198i | 0.115222 | + | 0.0686620i | ||||
\(181\) | 0.717545i | 0.0533347i | 0.999644 | + | 0.0266674i | \(0.00848949\pi\) | ||||
−0.999644 | + | 0.0266674i | \(0.991511\pi\) | |||||||
\(182\) | 2.65336 | − | 9.16295i | 0.196680 | − | 0.679203i | ||||
\(183\) | 1.09993 | − | 0.832004i | 0.0813091 | − | 0.0615035i | ||||
\(184\) | −0.330201 | + | 1.23233i | −0.0243427 | + | 0.0908482i | ||||
\(185\) | −2.02997 | − | 1.17201i | −0.149247 | − | 0.0861676i | ||||
\(186\) | −1.17522 | − | 9.42925i | −0.0861714 | − | 0.691386i | ||||
\(187\) | 4.31332 | − | 16.0975i | 0.315421 | − | 1.17717i | ||||
\(188\) | −4.06582 | + | 4.06582i | −0.296531 | + | 0.296531i | ||||
\(189\) | −12.7724 | + | 5.08574i | −0.929058 | + | 0.369933i | ||||
\(190\) | 3.52474 | − | 3.52474i | 0.255712 | − | 0.255712i | ||||
\(191\) | −12.6313 | + | 7.29268i | −0.913968 | + | 0.527680i | −0.881706 | − | 0.471800i | \(-0.843605\pi\) |
−0.0322624 | + | 0.999479i | \(0.510271\pi\) | |||||||
\(192\) | 1.71875 | − | 0.214218i | 0.124040 | − | 0.0154598i | ||||
\(193\) | 5.24169 | + | 19.5623i | 0.377305 | + | 1.40812i | 0.849947 | + | 0.526868i | \(0.176634\pi\) |
−0.472642 | + | 0.881255i | \(0.656699\pi\) | |||||||
\(194\) | −6.43126 | − | 11.1393i | −0.461738 | − | 0.799753i | ||||
\(195\) | −0.614618 | + | 3.69526i | −0.0440137 | + | 0.264623i | ||||
\(196\) | −6.11023 | − | 3.41542i | −0.436445 | − | 0.243958i | ||||
\(197\) | −0.904894 | + | 0.904894i | −0.0644710 | + | 0.0644710i | −0.738607 | − | 0.674136i | \(-0.764516\pi\) |
0.674136 | + | 0.738607i | \(0.264516\pi\) | |||||||
\(198\) | 9.34173 | − | 2.36537i | 0.663888 | − | 0.168099i | ||||
\(199\) | −2.41271 | − | 1.39298i | −0.171032 | − | 0.0987456i | 0.412040 | − | 0.911166i | \(-0.364816\pi\) |
−0.583073 | + | 0.812420i | \(0.698150\pi\) | |||||||
\(200\) | 1.20097 | + | 4.48208i | 0.0849213 | + | 0.316931i | ||||
\(201\) | −4.33612 | − | 10.6762i | −0.305846 | − | 0.753040i | ||||
\(202\) | 8.15274 | − | 8.15274i | 0.573625 | − | 0.573625i | ||||
\(203\) | −10.8646 | + | 0.0754949i | −0.762547 | + | 0.00529871i | ||||
\(204\) | −5.42111 | − | 7.16683i | −0.379554 | − | 0.501779i | ||||
\(205\) | −3.81839 | + | 2.20455i | −0.266688 | + | 0.153972i | ||||
\(206\) | −0.407094 | + | 0.109080i | −0.0283636 | + | 0.00760000i | ||||
\(207\) | 2.66875 | + | 2.74348i | 0.185491 | + | 0.190685i | ||||
\(208\) | 1.71778 | + | 3.17005i | 0.119106 | + | 0.219804i | ||||
\(209\) | − | 26.6934i | − | 1.84642i | ||||||
\(210\) | 2.53964 | + | 1.05182i | 0.175252 | + | 0.0725824i | ||||
\(211\) | 2.68634 | 0.184935 | 0.0924677 | − | 0.995716i | \(-0.470524\pi\) | ||||
0.0924677 | + | 0.995716i | \(0.470524\pi\) | |||||||
\(212\) | −0.855522 | − | 1.48181i | −0.0587575 | − | 0.101771i | ||||
\(213\) | −17.0394 | − | 13.2627i | −1.16752 | − | 0.908742i | ||||
\(214\) | 12.3235 | − | 3.30206i | 0.842414 | − | 0.225724i | ||||
\(215\) | −1.47042 | + | 5.48766i | −0.100281 | + | 0.374256i | ||||
\(216\) | 2.08747 | − | 4.75841i | 0.142034 | − | 0.323769i | ||||
\(217\) | −3.85405 | − | 13.9938i | −0.261630 | − | 0.949963i | ||||
\(218\) | 6.82968 | 0.462564 | ||||||||
\(219\) | 10.2351 | − | 4.15696i | 0.691622 | − | 0.280901i | ||||
\(220\) | −1.66866 | − | 0.963404i | −0.112501 | − | 0.0649527i | ||||
\(221\) | 9.78731 | − | 15.9416i | 0.658365 | − | 1.07235i | ||||
\(222\) | −2.63324 | + | 6.23510i | −0.176731 | + | 0.418472i | ||||
\(223\) | 2.18383 | + | 2.18383i | 0.146240 | + | 0.146240i | 0.776436 | − | 0.630196i | \(-0.217025\pi\) |
−0.630196 | + | 0.776436i | \(0.717025\pi\) | |||||||
\(224\) | 2.55078 | − | 0.702512i | 0.170431 | − | 0.0469386i | ||||
\(225\) | 13.3952 | + | 3.78821i | 0.893014 | + | 0.252547i | ||||
\(226\) | 4.35950 | − | 16.2699i | 0.289990 | − | 1.08226i | ||||
\(227\) | 5.50302 | + | 20.5375i | 0.365248 | + | 1.36312i | 0.867084 | + | 0.498162i | \(0.165991\pi\) |
−0.501836 | + | 0.864963i | \(0.667342\pi\) | |||||||
\(228\) | −11.3583 | − | 8.84078i | −0.752222 | − | 0.585495i | ||||
\(229\) | 4.13582 | + | 1.10819i | 0.273303 | + | 0.0732312i | 0.392867 | − | 0.919595i | \(-0.371483\pi\) |
−0.119565 | + | 0.992826i | \(0.538150\pi\) | |||||||
\(230\) | − | 0.765280i | − | 0.0504611i | ||||||
\(231\) | 13.5993 | − | 5.63373i | 0.894768 | − | 0.370672i | ||||
\(232\) | 2.90376 | − | 2.90376i | 0.190641 | − | 0.190641i | ||||
\(233\) | −7.18694 | − | 12.4481i | −0.470832 | − | 0.815505i | 0.528612 | − | 0.848864i | \(-0.322713\pi\) |
−0.999443 | + | 0.0333591i | \(0.989379\pi\) | |||||||
\(234\) | 10.8076 | + | 0.441423i | 0.706518 | + | 0.0288567i | ||||
\(235\) | 1.72454 | − | 2.98698i | 0.112496 | − | 0.194849i | ||||
\(236\) | 3.14252 | + | 0.842037i | 0.204561 | + | 0.0548119i | ||||
\(237\) | −6.01036 | + | 4.54633i | −0.390415 | + | 0.295316i | ||||
\(238\) | −9.77342 | − | 9.63854i | −0.633517 | − | 0.624774i | ||||
\(239\) | −7.07117 | + | 7.07117i | −0.457396 | + | 0.457396i | −0.897800 | − | 0.440404i | \(-0.854835\pi\) |
0.440404 | + | 0.897800i | \(0.354835\pi\) | |||||||
\(240\) | −0.962597 | + | 0.390957i | −0.0621354 | + | 0.0252362i | ||||
\(241\) | 2.14060 | + | 7.98882i | 0.137888 | + | 0.514605i | 0.999969 | + | 0.00783522i | \(0.00249405\pi\) |
−0.862081 | + | 0.506770i | \(0.830839\pi\) | |||||||
\(242\) | 0.658672 | − | 0.176491i | 0.0423411 | − | 0.0113453i | ||||
\(243\) | −9.05720 | − | 12.6873i | −0.581020 | − | 0.813889i | ||||
\(244\) | 0.796257i | 0.0509751i | ||||||||
\(245\) | 4.07055 | + | 1.03029i | 0.260058 | + | 0.0658229i | ||||
\(246\) | 7.68039 | + | 10.1537i | 0.489684 | + | 0.647373i | ||||
\(247\) | 8.53371 | − | 28.7213i | 0.542987 | − | 1.82749i | ||||
\(248\) | 4.75110 | + | 2.74305i | 0.301695 | + | 0.174184i | ||||
\(249\) | −18.5673 | − | 14.4519i | −1.17665 | − | 0.915854i | ||||
\(250\) | −2.89131 | − | 5.00789i | −0.182862 | − | 0.316727i | ||||
\(251\) | −25.4886 | −1.60882 | −0.804412 | − | 0.594071i | \(-0.797520\pi\) | ||||
−0.804412 | + | 0.594071i | \(0.797520\pi\) | |||||||
\(252\) | 2.10685 | − | 7.65253i | 0.132719 | − | 0.482064i | ||||
\(253\) | −2.89779 | − | 2.89779i | −0.182182 | − | 0.182182i | ||||
\(254\) | −0.636303 | + | 2.37472i | −0.0399252 | + | 0.149003i | ||||
\(255\) | 4.25368 | + | 3.31087i | 0.266376 | + | 0.207335i | ||||
\(256\) | −0.500000 | + | 0.866025i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | −6.50252 | − | 11.2627i | −0.405616 | − | 0.702548i | 0.588777 | − | 0.808296i | \(-0.299610\pi\) |
−0.994393 | + | 0.105748i | \(0.966276\pi\) | |||||||
\(258\) | 16.2491 | + | 2.25346i | 1.01162 | + | 0.140294i | ||||
\(259\) | −2.60642 | + | 10.0049i | −0.161955 | + | 0.621672i | ||||
\(260\) | −1.48744 | − | 1.57006i | −0.0922474 | − | 0.0973709i | ||||
\(261\) | −3.02395 | − | 11.9427i | −0.187178 | − | 0.739236i | ||||
\(262\) | −20.2894 | + | 5.43654i | −1.25349 | + | 0.335871i | ||||
\(263\) | 7.46602 | + | 4.31051i | 0.460375 | + | 0.265797i | 0.712202 | − | 0.701975i | \(-0.247698\pi\) |
−0.251827 | + | 0.967772i | \(0.581031\pi\) | |||||||
\(264\) | −2.16455 | + | 5.12533i | −0.133219 | + | 0.315442i | ||||
\(265\) | 0.725746 | + | 0.725746i | 0.0445822 | + | 0.0445822i | ||||
\(266\) | −19.1166 | − | 10.8606i | −1.17212 | − | 0.665905i | ||||
\(267\) | −20.5920 | − | 2.85575i | −1.26021 | − | 0.174769i | ||||
\(268\) | 6.42620 | + | 1.72190i | 0.392543 | + | 0.105181i | ||||
\(269\) | −19.8943 | − | 11.4860i | −1.21298 | − | 0.700313i | −0.249571 | − | 0.968357i | \(-0.580290\pi\) |
−0.963407 | + | 0.268044i | \(0.913623\pi\) | |||||||
\(270\) | −0.470743 | + | 3.08113i | −0.0286485 | + | 0.187512i | ||||
\(271\) | 19.2021 | + | 5.14519i | 1.16645 | + | 0.312548i | 0.789538 | − | 0.613702i | \(-0.210320\pi\) |
0.376909 | + | 0.926250i | \(0.376987\pi\) | |||||||
\(272\) | 5.18819 | 0.314580 | ||||||||
\(273\) | 16.4336 | − | 1.71413i | 0.994604 | − | 0.103744i | ||||
\(274\) | 5.86906 | 0.354563 | ||||||||
\(275\) | −14.3972 | − | 3.85773i | −0.868186 | − | 0.232630i | ||||
\(276\) | −2.19278 | + | 0.273298i | −0.131990 | + | 0.0164506i | ||||
\(277\) | 12.9397 | + | 7.47073i | 0.777470 | + | 0.448872i | 0.835533 | − | 0.549440i | \(-0.185159\pi\) |
−0.0580630 | + | 0.998313i | \(0.518492\pi\) | |||||||
\(278\) | −3.27803 | − | 0.878345i | −0.196603 | − | 0.0526796i | ||||
\(279\) | 14.3656 | − | 8.03158i | 0.860044 | − | 0.480838i | ||||
\(280\) | −1.36887 | + | 0.803051i | −0.0818056 | + | 0.0479915i | ||||
\(281\) | −0.842761 | − | 0.842761i | −0.0502749 | − | 0.0502749i | 0.681522 | − | 0.731797i | \(-0.261318\pi\) |
−0.731797 | + | 0.681522i | \(0.761318\pi\) | |||||||
\(282\) | −9.17456 | − | 3.87465i | −0.546337 | − | 0.230732i | ||||
\(283\) | 4.36513 | + | 2.52021i | 0.259480 | + | 0.149811i | 0.624097 | − | 0.781346i | \(-0.285467\pi\) |
−0.364617 | + | 0.931158i | \(0.618800\pi\) | |||||||
\(284\) | 12.0417 | − | 3.22656i | 0.714542 | − | 0.191461i | ||||
\(285\) | 7.95361 | + | 3.35901i | 0.471131 | + | 0.198970i | ||||
\(286\) | −11.5774 | − | 0.312829i | −0.684589 | − | 0.0184979i | ||||
\(287\) | 13.8466 | + | 13.6555i | 0.817336 | + | 0.806056i | ||||
\(288\) | 1.46399 | + | 2.61854i | 0.0862662 | + | 0.154299i | ||||
\(289\) | −4.95866 | − | 8.58865i | −0.291686 | − | 0.505215i | ||||
\(290\) | −1.23164 | + | 2.13327i | −0.0723245 | + | 0.125270i | ||||
\(291\) | 13.6840 | − | 17.5807i | 0.802171 | − | 1.03060i | ||||
\(292\) | −1.65075 | + | 6.16069i | −0.0966029 | + | 0.360527i | ||||
\(293\) | −4.76090 | − | 4.76090i | −0.278135 | − | 0.278135i | 0.554229 | − | 0.832364i | \(-0.313013\pi\) |
−0.832364 | + | 0.554229i | \(0.813013\pi\) | |||||||
\(294\) | 1.49844 | − | 12.0314i | 0.0873907 | − | 0.701686i | ||||
\(295\) | −1.95152 | −0.113622 | ||||||||
\(296\) | −1.95385 | − | 3.38417i | −0.113565 | − | 0.196701i | ||||
\(297\) | 9.88442 | + | 13.4494i | 0.573552 | + | 0.780414i | ||||
\(298\) | 18.8798 | + | 10.9003i | 1.09368 | + | 0.631435i | ||||
\(299\) | −2.19153 | − | 4.04434i | −0.126740 | − | 0.233891i | ||||
\(300\) | −6.40984 | + | 4.84850i | −0.370072 | + | 0.279929i | ||||
\(301\) | 25.0578 | − | 0.174119i | 1.44431 | − | 0.0100361i | ||||
\(302\) | 11.3387i | 0.652466i | ||||||||
\(303\) | 18.3967 | + | 7.76940i | 1.05686 | + | 0.446340i | ||||
\(304\) | 8.02689 | − | 2.15080i | 0.460374 | − | 0.123357i | ||||
\(305\) | −0.123620 | − | 0.461355i | −0.00707845 | − | 0.0264171i | ||||
\(306\) | 7.96765 | − | 13.3706i | 0.455480 | − | 0.764345i | ||||
\(307\) | −17.3519 | + | 17.3519i | −0.990324 | + | 0.990324i | −0.999954 | − | 0.00962922i | \(-0.996935\pi\) |
0.00962922 | + | 0.999954i | \(0.496935\pi\) | |||||||
\(308\) | −2.14251 | + | 8.22413i | −0.122081 | + | 0.468613i | ||||
\(309\) | −0.440376 | − | 0.582187i | −0.0250521 | − | 0.0331194i | ||||
\(310\) | −3.17868 | − | 0.851724i | −0.180537 | − | 0.0483747i | ||||
\(311\) | 12.1990 | − | 21.1294i | 0.691744 | − | 1.19814i | −0.279521 | − | 0.960139i | \(-0.590176\pi\) |
0.971266 | − | 0.237997i | \(-0.0764909\pi\) | |||||||
\(312\) | −3.96754 | + | 4.82272i | −0.224618 | + | 0.273033i | ||||
\(313\) | 12.9180 | + | 22.3747i | 0.730171 | + | 1.26469i | 0.956810 | + | 0.290714i | \(0.0938930\pi\) |
−0.226639 | + | 0.973979i | \(0.572774\pi\) | |||||||
\(314\) | 16.8789 | − | 16.8789i | 0.952533 | − | 0.952533i | ||||
\(315\) | −0.0326531 | + | 4.76101i | −0.00183980 | + | 0.268252i | ||||
\(316\) | − | 4.35100i | − | 0.244763i | ||||||
\(317\) | −14.2207 | − | 3.81041i | −0.798712 | − | 0.214014i | −0.163693 | − | 0.986511i | \(-0.552341\pi\) |
−0.635018 | + | 0.772497i | \(0.719007\pi\) | |||||||
\(318\) | 1.82032 | − | 2.33868i | 0.102079 | − | 0.131147i | ||||
\(319\) | 3.41407 | + | 12.7415i | 0.191151 | + | 0.713385i | ||||
\(320\) | 0.155251 | − | 0.579405i | 0.00867881 | − | 0.0323897i | ||||
\(321\) | 13.3310 | + | 17.6238i | 0.744061 | + | 0.983666i | ||||
\(322\) | −3.25428 | + | 0.896263i | −0.181354 | + | 0.0499468i | ||||
\(323\) | −30.4863 | − | 30.4863i | −1.69630 | − | 1.69630i | ||||
\(324\) | 8.99657 | + | 0.248493i | 0.499809 | + | 0.0138052i | ||||
\(325\) | −14.2577 | − | 8.75352i | −0.790877 | − | 0.485558i | ||||
\(326\) | 1.16939 | + | 0.675150i | 0.0647668 | + | 0.0373931i | ||||
\(327\) | 4.45134 | + | 10.9599i | 0.246160 | + | 0.606083i | ||||
\(328\) | −7.35040 | −0.405858 | ||||||||
\(329\) | −14.7216 | − | 3.83519i | −0.811626 | − | 0.211441i | ||||
\(330\) | 0.458440 | − | 3.30569i | 0.0252363 | − | 0.181972i | ||||
\(331\) | 0.769457 | − | 2.87165i | 0.0422932 | − | 0.157840i | −0.941550 | − | 0.336874i | \(-0.890630\pi\) |
0.983843 | + | 0.179034i | \(0.0572971\pi\) | |||||||
\(332\) | 13.1215 | − | 3.51589i | 0.720134 | − | 0.192959i | ||||
\(333\) | −11.7220 | − | 0.161855i | −0.642361 | − | 0.00886959i | ||||
\(334\) | −0.167198 | − | 0.289596i | −0.00914867 | − | 0.0158460i | ||||
\(335\) | −3.99070 | −0.218035 | ||||||||
\(336\) | 2.78986 | + | 3.63548i | 0.152199 | + | 0.198331i | ||||
\(337\) | 13.9931i | 0.762255i | 0.924523 | + | 0.381127i | \(0.124464\pi\) | ||||
−0.924523 | + | 0.381127i | \(0.875536\pi\) | |||||||
\(338\) | −12.3570 | − | 4.03784i | −0.672133 | − | 0.219629i | ||||
\(339\) | 28.9504 | − | 3.60825i | 1.57237 | − | 0.195973i | ||||
\(340\) | −3.00607 | + | 0.805473i | −0.163027 | + | 0.0436829i | ||||
\(341\) | −15.2614 | + | 8.81117i | −0.826451 | + | 0.477152i | ||||
\(342\) | 6.78425 | − | 23.9893i | 0.366850 | − | 1.29719i | ||||
\(343\) | −0.386041 | − | 18.5162i | −0.0208442 | − | 0.999783i | ||||
\(344\) | −6.69715 | + | 6.69715i | −0.361086 | + | 0.361086i | ||||
\(345\) | 1.22808 | − | 0.498782i | 0.0661175 | − | 0.0268535i | ||||
\(346\) | −6.56107 | − | 24.4862i | −0.352725 | − | 1.31639i | ||||
\(347\) | 8.62184 | + | 4.97782i | 0.462845 | + | 0.267224i | 0.713240 | − | 0.700920i | \(-0.247227\pi\) |
−0.250395 | + | 0.968144i | \(0.580560\pi\) | |||||||
\(348\) | 6.55236 | + | 2.76723i | 0.351243 | + | 0.148339i | ||||
\(349\) | 13.9690 | − | 13.9690i | 0.747742 | − | 0.747742i | −0.226313 | − | 0.974055i | \(-0.572667\pi\) |
0.974055 | + | 0.226313i | \(0.0726672\pi\) | |||||||
\(350\) | −8.62046 | + | 8.74110i | −0.460783 | + | 0.467232i | ||||
\(351\) | 6.33567 | + | 17.6312i | 0.338173 | + | 0.941084i | ||||
\(352\) | −1.60609 | − | 2.78183i | −0.0856049 | − | 0.148272i | ||||
\(353\) | 3.84065 | + | 14.3335i | 0.204417 | + | 0.762896i | 0.989626 | + | 0.143665i | \(0.0458889\pi\) |
−0.785209 | + | 0.619231i | \(0.787444\pi\) | |||||||
\(354\) | 0.696932 | + | 5.59176i | 0.0370415 | + | 0.297199i | ||||
\(355\) | −6.47608 | + | 3.73897i | −0.343715 | + | 0.198444i | ||||
\(356\) | 8.48711 | − | 8.48711i | 0.449816 | − | 0.449816i | ||||
\(357\) | 9.09741 | − | 21.9659i | 0.481486 | − | 1.16256i | ||||
\(358\) | 2.09314 | − | 2.09314i | 0.110626 | − | 0.110626i | ||||
\(359\) | −3.87962 | + | 14.4789i | −0.204759 | + | 0.764169i | 0.784764 | + | 0.619794i | \(0.212784\pi\) |
−0.989523 | + | 0.144375i | \(0.953883\pi\) | |||||||
\(360\) | −1.25477 | − | 1.28991i | −0.0661323 | − | 0.0679842i | ||||
\(361\) | −43.3505 | − | 25.0284i | −2.28161 | − | 1.31729i | ||||
\(362\) | 0.185714 | − | 0.693096i | 0.00976093 | − | 0.0364283i | ||||
\(363\) | 0.712522 | + | 0.941970i | 0.0373977 | + | 0.0494406i | ||||
\(364\) | −4.93449 | + | 8.16399i | −0.258638 | + | 0.427910i | ||||
\(365\) | − | 3.82582i | − | 0.200252i | ||||||
\(366\) | −1.27779 | + | 0.518972i | −0.0667911 | + | 0.0271271i | ||||
\(367\) | −6.15961 | + | 10.6688i | −0.321529 | + | 0.556905i | −0.980804 | − | 0.194998i | \(-0.937530\pi\) |
0.659275 | + | 0.751902i | \(0.270863\pi\) | |||||||
\(368\) | 0.637898 | − | 1.10487i | 0.0332528 | − | 0.0575955i | ||||
\(369\) | −11.2882 | + | 18.9429i | −0.587641 | + | 0.986125i | ||||
\(370\) | 1.65747 | + | 1.65747i | 0.0861676 | + | 0.0861676i | ||||
\(371\) | 2.23620 | − | 3.93613i | 0.116098 | − | 0.204354i | ||||
\(372\) | −1.30529 | + | 9.41213i | −0.0676763 | + | 0.487996i | ||||
\(373\) | −2.52756 | − | 4.37786i | −0.130872 | − | 0.226677i | 0.793141 | − | 0.609038i | \(-0.208444\pi\) |
−0.924013 | + | 0.382361i | \(0.875111\pi\) | |||||||
\(374\) | −8.33270 | + | 14.4327i | −0.430874 | + | 0.746295i | ||||
\(375\) | 6.15193 | − | 7.90377i | 0.317684 | − | 0.408149i | ||||
\(376\) | 4.97960 | − | 2.87497i | 0.256803 | − | 0.148265i | ||||
\(377\) | −0.399929 | + | 14.8009i | −0.0205974 | + | 0.762287i | ||||
\(378\) | 13.6535 | − | 1.60670i | 0.702261 | − | 0.0826397i | ||||
\(379\) | −1.20575 | − | 1.20575i | −0.0619353 | − | 0.0619353i | 0.675461 | − | 0.737396i | \(-0.263945\pi\) |
−0.737396 | + | 0.675461i | \(0.763945\pi\) | |||||||
\(380\) | −4.31691 | + | 2.49237i | −0.221453 | + | 0.127856i | ||||
\(381\) | −4.22553 | + | 0.526652i | −0.216481 | + | 0.0269812i | ||||
\(382\) | 14.0884 | − | 3.77497i | 0.720824 | − | 0.193144i | ||||
\(383\) | −17.5705 | − | 4.70799i | −0.897808 | − | 0.240567i | −0.219734 | − | 0.975560i | \(-0.570519\pi\) |
−0.678075 | + | 0.734993i | \(0.737185\pi\) | |||||||
\(384\) | −1.71563 | − | 0.237927i | −0.0875504 | − | 0.0121417i | ||||
\(385\) | −0.0354226 | − | 5.09773i | −0.00180530 | − | 0.259804i | ||||
\(386\) | − | 20.2524i | − | 1.03082i | ||||||
\(387\) | 6.97435 | + | 27.5443i | 0.354526 | + | 1.40016i | ||||
\(388\) | 3.32907 | + | 12.4242i | 0.169008 | + | 0.630745i | ||||
\(389\) | −15.4549 | + | 26.7687i | −0.783595 | + | 1.35723i | 0.146240 | + | 0.989249i | \(0.453283\pi\) |
−0.929835 | + | 0.367977i | \(0.880051\pi\) | |||||||
\(390\) | 1.55008 | − | 3.41028i | 0.0784913 | − | 0.172686i | ||||
\(391\) | −6.61908 | −0.334741 | ||||||||
\(392\) | 5.01805 | + | 4.88048i | 0.253450 | + | 0.246502i | ||||
\(393\) | −21.9482 | − | 29.0160i | −1.10714 | − | 1.46366i | ||||
\(394\) | 1.10826 | − | 0.639857i | 0.0558336 | − | 0.0322355i | ||||
\(395\) | 0.675498 | + | 2.52099i | 0.0339880 | + | 0.126845i | ||||
\(396\) | −9.63562 | − | 0.133047i | −0.484208 | − | 0.00668585i | ||||
\(397\) | 6.56445 | + | 1.75894i | 0.329461 | + | 0.0882787i | 0.419758 | − | 0.907636i | \(-0.362115\pi\) |
−0.0902972 | + | 0.995915i | \(0.528782\pi\) | |||||||
\(398\) | 1.96997 | + | 1.96997i | 0.0987456 | + | 0.0987456i | ||||
\(399\) | 4.96892 | − | 37.7558i | 0.248757 | − | 1.89016i | ||||
\(400\) | − | 4.64019i | − | 0.232009i | ||||||
\(401\) | 6.13006 | − | 22.8777i | 0.306121 | − | 1.14246i | −0.625856 | − | 0.779939i | \(-0.715250\pi\) |
0.931976 | − | 0.362519i | \(-0.118083\pi\) | |||||||
\(402\) | 1.42517 | + | 11.4347i | 0.0710809 | + | 0.570310i | ||||
\(403\) | −19.2377 | + | 4.60160i | −0.958299 | + | 0.229222i | ||||
\(404\) | −9.98503 | + | 5.76486i | −0.496774 | + | 0.286813i | ||||
\(405\) | −5.25124 | + | 1.25275i | −0.260936 | + | 0.0622496i | ||||
\(406\) | 10.5140 | + | 2.73905i | 0.521799 | + | 0.135937i | ||||
\(407\) | 12.5522 | 0.622191 | ||||||||
\(408\) | 3.38148 | + | 8.32572i | 0.167408 | + | 0.412184i | ||||
\(409\) | −2.45363 | + | 0.657447i | −0.121324 | + | 0.0325087i | −0.318970 | − | 0.947765i | \(-0.603337\pi\) |
0.197646 | + | 0.980273i | \(0.436670\pi\) | |||||||
\(410\) | 4.25886 | − | 1.14116i | 0.210330 | − | 0.0563578i | ||||
\(411\) | 3.82524 | + | 9.41833i | 0.188685 | + | 0.464572i | ||||
\(412\) | 0.421455 | 0.0207636 | ||||||||
\(413\) | 2.28554 | + | 8.29866i | 0.112464 | + | 0.408350i | ||||
\(414\) | −1.86775 | − | 3.34072i | −0.0917949 | − | 0.164188i | ||||
\(415\) | −7.05680 | + | 4.07425i | −0.346405 | + | 0.199997i | ||||
\(416\) | −0.838775 | − | 3.50663i | −0.0411243 | − | 0.171927i | ||||
\(417\) | −0.726984 | − | 5.83287i | −0.0356005 | − | 0.285637i | ||||
\(418\) | −6.90875 | + | 25.7838i | −0.337918 | + | 1.26113i | ||||
\(419\) | 3.88080i | 0.189590i | 0.995497 | + | 0.0947948i | \(0.0302195\pi\) | ||||
−0.995497 | + | 0.0947948i | \(0.969781\pi\) | |||||||
\(420\) | −2.18087 | − | 1.67329i | −0.106416 | − | 0.0816480i | ||||
\(421\) | 0.262070 | + | 0.262070i | 0.0127725 | + | 0.0127725i | 0.713464 | − | 0.700692i | \(-0.247125\pi\) |
−0.700692 | + | 0.713464i | \(0.747125\pi\) | |||||||
\(422\) | −2.59481 | − | 0.695277i | −0.126313 | − | 0.0338455i | ||||
\(423\) | 0.238160 | − | 17.2482i | 0.0115797 | − | 0.838635i | ||||
\(424\) | 0.442851 | + | 1.65274i | 0.0215067 | + | 0.0802642i | ||||
\(425\) | −20.8488 | + | 12.0371i | −1.01132 | + | 0.583884i | ||||
\(426\) | 13.0261 | + | 17.2209i | 0.631118 | + | 0.834353i | ||||
\(427\) | −1.81709 | + | 1.06600i | −0.0879352 | + | 0.0515874i | ||||
\(428\) | −12.7582 | −0.616690 | ||||||||
\(429\) | −7.04376 | − | 18.7827i | −0.340076 | − | 0.906839i | ||||
\(430\) | 2.84062 | − | 4.92011i | 0.136987 | − | 0.237269i | ||||
\(431\) | 3.75773 | + | 14.0240i | 0.181004 | + | 0.675514i | 0.995451 | + | 0.0952769i | \(0.0303736\pi\) |
−0.814447 | + | 0.580238i | \(0.802960\pi\) | |||||||
\(432\) | −3.24791 | + | 4.05599i | −0.156265 | + | 0.195144i | ||||
\(433\) | − | 9.24282i | − | 0.444182i | −0.975026 | − | 0.222091i | \(-0.928712\pi\) | ||
0.975026 | − | 0.222091i | \(-0.0712881\pi\) | |||||||
\(434\) | 0.100857 | + | 14.5145i | 0.00484129 | + | 0.696719i | ||||
\(435\) | −4.22609 | − | 0.586083i | −0.202625 | − | 0.0281005i | ||||
\(436\) | −6.59696 | − | 1.76765i | −0.315937 | − | 0.0846551i | ||||
\(437\) | −10.2407 | + | 2.74398i | −0.489878 | + | 0.131262i | ||||
\(438\) | −10.9622 | + | 1.36628i | −0.523795 | + | 0.0652836i | ||||
\(439\) | 5.46918 | − | 3.15763i | 0.261030 | − | 0.150705i | −0.363775 | − | 0.931487i | \(-0.618512\pi\) |
0.624804 | + | 0.780782i | \(0.285179\pi\) | |||||||
\(440\) | 1.36246 | + | 1.36246i | 0.0649527 | + | 0.0649527i | ||||
\(441\) | 20.2840 | − | 5.43703i | 0.965902 | − | 0.258906i | ||||
\(442\) | −13.5798 | + | 12.8652i | −0.645925 | + | 0.611937i | ||||
\(443\) | 13.0061 | − | 7.50906i | 0.617937 | − | 0.356766i | −0.158128 | − | 0.987419i | \(-0.550546\pi\) |
0.776065 | + | 0.630652i | \(0.217213\pi\) | |||||||
\(444\) | 4.15727 | − | 5.34111i | 0.197295 | − | 0.253478i | ||||
\(445\) | −3.59985 | + | 6.23511i | −0.170649 | + | 0.295573i | ||||
\(446\) | −1.54420 | − | 2.67463i | −0.0731200 | − | 0.126648i | ||||
\(447\) | −5.18694 | + | 37.4016i | −0.245334 | + | 1.76904i | ||||
\(448\) | −2.64569 | + | 0.0183841i | −0.124997 | + | 0.000868566i | ||||
\(449\) | 11.2960 | + | 11.2960i | 0.533091 | + | 0.533091i | 0.921491 | − | 0.388400i | \(-0.126972\pi\) |
−0.388400 | + | 0.921491i | \(0.626972\pi\) | |||||||
\(450\) | −11.9583 | − | 7.12606i | −0.563720 | − | 0.335926i | ||||
\(451\) | 11.8054 | − | 20.4475i | 0.555894 | − | 0.962837i | ||||
\(452\) | −8.42191 | + | 14.5872i | −0.396133 | + | 0.686123i | ||||
\(453\) | −18.1956 | + | 7.39013i | −0.854906 | + | 0.347219i | ||||
\(454\) | − | 21.2620i | − | 0.997877i | ||||||
\(455\) | 1.59160 | − | 5.49635i | 0.0746154 | − | 0.257673i | ||||
\(456\) | 8.68312 | + | 11.4793i | 0.406624 | + | 0.537567i | ||||
\(457\) | −4.29015 | + | 16.0111i | −0.200685 | + | 0.748966i | 0.790037 | + | 0.613059i | \(0.210061\pi\) |
−0.990722 | + | 0.135907i | \(0.956605\pi\) | |||||||
\(458\) | −3.70807 | − | 2.14086i | −0.173267 | − | 0.100036i | ||||
\(459\) | 26.6494 | + | 4.07156i | 1.24389 | + | 0.190044i | ||||
\(460\) | −0.198069 | + | 0.739204i | −0.00923501 | + | 0.0344655i | ||||
\(461\) | −12.3842 | + | 12.3842i | −0.576788 | + | 0.576788i | −0.934017 | − | 0.357229i | \(-0.883722\pi\) |
0.357229 | + | 0.934017i | \(0.383722\pi\) | |||||||
\(462\) | −14.5940 | + | 1.92201i | −0.678976 | + | 0.0894200i | ||||
\(463\) | 15.3743 | − | 15.3743i | 0.714503 | − | 0.714503i | −0.252971 | − | 0.967474i | \(-0.581408\pi\) |
0.967474 | + | 0.252971i | \(0.0814076\pi\) | |||||||
\(464\) | −3.55637 | + | 2.05327i | −0.165100 | + | 0.0953206i | ||||
\(465\) | −0.704950 | − | 5.65608i | −0.0326913 | − | 0.262295i | ||||
\(466\) | 3.72023 | + | 13.8841i | 0.172336 | + | 0.643168i | ||||
\(467\) | 2.94747 | + | 5.10517i | 0.136393 | + | 0.236239i | 0.926129 | − | 0.377208i | \(-0.123116\pi\) |
−0.789736 | + | 0.613447i | \(0.789782\pi\) | |||||||
\(468\) | −10.3251 | − | 3.22361i | −0.477279 | − | 0.149011i | ||||
\(469\) | 4.67374 | + | 16.9701i | 0.215813 | + | 0.783605i | ||||
\(470\) | −2.43886 | + | 2.43886i | −0.112496 | + | 0.112496i | ||||
\(471\) | 38.0875 | + | 16.0853i | 1.75498 | + | 0.741170i | ||||
\(472\) | −2.81751 | − | 1.62669i | −0.129686 | − | 0.0748745i | ||||
\(473\) | −7.87410 | − | 29.3865i | −0.362052 | − | 1.35119i | ||||
\(474\) | 6.98224 | − | 2.83583i | 0.320705 | − | 0.130254i | ||||
\(475\) | −27.2662 | + | 27.2662i | −1.25106 | + | 1.25106i | ||||
\(476\) | 6.94577 | + | 11.8397i | 0.318359 | + | 0.542670i | ||||
\(477\) | 4.93941 | + | 1.39688i | 0.226160 | + | 0.0639588i | ||||
\(478\) | 8.66038 | − | 5.00007i | 0.396117 | − | 0.228698i | ||||
\(479\) | 17.4615 | − | 4.67881i | 0.797838 | − | 0.213780i | 0.163204 | − | 0.986592i | \(-0.447817\pi\) |
0.634635 | + | 0.772812i | \(0.281151\pi\) | |||||||
\(480\) | 1.03098 | − | 0.128497i | 0.0470578 | − | 0.00586508i | ||||
\(481\) | 13.5059 | + | 4.01287i | 0.615814 | + | 0.182971i | ||||
\(482\) | − | 8.27064i | − | 0.376717i | ||||||
\(483\) | −3.55929 | − | 4.63813i | −0.161953 | − | 0.211042i | ||||
\(484\) | −0.681908 | −0.0309958 | ||||||||
\(485\) | −3.85776 | − | 6.68183i | −0.175172 | − | 0.303406i | ||||
\(486\) | 5.46488 | + | 14.5991i | 0.247892 | + | 0.662231i | ||||
\(487\) | −37.4584 | + | 10.0369i | −1.69740 | + | 0.454817i | −0.972283 | − | 0.233807i | \(-0.924882\pi\) |
−0.725118 | + | 0.688624i | \(0.758215\pi\) | |||||||
\(488\) | 0.206086 | − | 0.769125i | 0.00932909 | − | 0.0348167i | ||||
\(489\) | −0.321273 | + | 2.31662i | −0.0145285 | + | 0.104761i | ||||
\(490\) | −3.66519 | − | 2.04872i | −0.165576 | − | 0.0925517i | ||||
\(491\) | 9.27442 | 0.418549 | 0.209274 | − | 0.977857i | \(-0.432890\pi\) | ||||
0.209274 | + | 0.977857i | \(0.432890\pi\) | |||||||
\(492\) | −4.79073 | − | 11.7955i | −0.215983 | − | 0.531783i | ||||
\(493\) | 18.4511 | + | 10.6528i | 0.830996 | + | 0.479776i | ||||
\(494\) | −15.6766 | + | 25.5340i | −0.705322 | + | 1.14883i | ||||
\(495\) | 5.60358 | − | 1.41885i | 0.251862 | − | 0.0637727i | ||||
\(496\) | −3.87926 | − | 3.87926i | −0.174184 | − | 0.174184i | ||||
\(497\) | 23.4841 | + | 23.1600i | 1.05341 | + | 1.03887i | ||||
\(498\) | 14.1942 | + | 18.7651i | 0.636057 | + | 0.840882i | ||||
\(499\) | −9.84950 | + | 36.7588i | −0.440924 | + | 1.64555i | 0.285555 | + | 0.958362i | \(0.407822\pi\) |
−0.726479 | + | 0.687189i | \(0.758845\pi\) | |||||||
\(500\) | 1.49665 | + | 5.58558i | 0.0669322 | + | 0.249795i | ||||
\(501\) | 0.355753 | − | 0.457058i | 0.0158939 | − | 0.0204199i | ||||
\(502\) | 24.6201 | + | 6.59693i | 1.09885 | + | 0.294435i | ||||
\(503\) | − | 13.4961i | − | 0.601763i | −0.953662 | − | 0.300882i | \(-0.902719\pi\) | ||
0.953662 | − | 0.300882i | \(-0.0972809\pi\) | |||||||
\(504\) | −4.01568 | + | 6.84648i | −0.178872 | + | 0.304967i | ||||
\(505\) | 4.89038 | − | 4.89038i | 0.217619 | − | 0.217619i | ||||
\(506\) | 2.04904 | + | 3.54905i | 0.0910911 | + | 0.157774i | ||||
\(507\) | −1.57417 | − | 22.4616i | −0.0699113 | − | 0.997553i | ||||
\(508\) | 1.22924 | − | 2.12911i | 0.0545389 | − | 0.0944641i | ||||
\(509\) | 40.8332 | + | 10.9412i | 1.80990 | + | 0.484961i | 0.995451 | − | 0.0952733i | \(-0.0303725\pi\) |
0.814449 | + | 0.580235i | \(0.197039\pi\) | |||||||
\(510\) | −3.25182 | − | 4.29899i | −0.143993 | − | 0.190362i | ||||
\(511\) | −16.2689 | + | 4.48063i | −0.719694 | + | 0.198211i | ||||
\(512\) | 0.707107 | − | 0.707107i | 0.0312500 | − | 0.0312500i | ||||
\(513\) | 42.9184 | − | 4.74838i | 1.89489 | − | 0.209646i | ||||
\(514\) | 3.36595 | + | 12.5619i | 0.148466 | + | 0.554082i | ||||
\(515\) | −0.244193 | + | 0.0654313i | −0.0107604 | + | 0.00288325i | ||||
\(516\) | −15.1122 | − | 6.38225i | −0.665276 | − | 0.280963i | ||||
\(517\) | 18.4698i | 0.812303i | ||||||||
\(518\) | 5.10706 | − | 8.98937i | 0.224391 | − | 0.394970i | ||||
\(519\) | 35.0179 | − | 26.4881i | 1.53711 | − | 1.16270i | ||||
\(520\) | 1.03040 | + | 1.90154i | 0.0451860 | + | 0.0833880i | ||||
\(521\) | −23.0923 | − | 13.3323i | −1.01169 | − | 0.584099i | −0.100004 | − | 0.994987i | \(-0.531886\pi\) |
−0.911686 | + | 0.410888i | \(0.865219\pi\) | |||||||
\(522\) | −0.170091 | + | 12.3184i | −0.00744467 | + | 0.539164i | ||||
\(523\) | −9.51589 | − | 16.4820i | −0.416101 | − | 0.720708i | 0.579443 | − | 0.815013i | \(-0.303270\pi\) |
−0.995543 | + | 0.0943055i | \(0.969937\pi\) | |||||||
\(524\) | 21.0052 | 0.917616 | ||||||||
\(525\) | −19.6457 | − | 8.13650i | −0.857411 | − | 0.355106i | ||||
\(526\) | −6.09598 | − | 6.09598i | −0.265797 | − | 0.265797i | ||||
\(527\) | −7.36675 | + | 27.4931i | −0.320901 | + | 1.19762i | ||||
\(528\) | 3.41733 | − | 4.39046i | 0.148720 | − | 0.191070i | ||||
\(529\) | 10.6862 | − | 18.5090i | 0.464616 | − | 0.804739i | ||||
\(530\) | −0.513180 | − | 0.888854i | −0.0222911 | − | 0.0386094i | ||||
\(531\) | −8.51910 | + | 4.76291i | −0.369698 | + | 0.206693i | ||||
\(532\) | 15.6543 | + | 15.4383i | 0.678701 | + | 0.669334i | ||||
\(533\) | 19.2393 | − | 18.2269i | 0.833345 | − | 0.789495i | ||||
\(534\) | 19.1512 | + | 8.08805i | 0.828755 | + | 0.350004i | ||||
\(535\) | 7.39216 | − | 1.98072i | 0.319591 | − | 0.0856341i | ||||
\(536\) | −5.76157 | − | 3.32645i | −0.248862 | − | 0.143681i | ||||
\(537\) | 4.72318 | + | 1.99472i | 0.203820 | + | 0.0860784i | ||||
\(538\) | 16.2436 | + | 16.2436i | 0.700313 | + | 0.700313i | ||||
\(539\) | −21.6361 | + | 6.12087i | −0.931933 | + | 0.263645i | ||||
\(540\) | 1.25216 | − | 2.85431i | 0.0538843 | − | 0.122830i | ||||
\(541\) | −43.3634 | − | 11.6192i | −1.86434 | − | 0.499547i | −0.864342 | − | 0.502905i | \(-0.832265\pi\) |
−0.999994 | + | 0.00335721i | \(0.998931\pi\) | |||||||
\(542\) | −17.2162 | − | 9.93975i | −0.739497 | − | 0.426949i | ||||
\(543\) | 1.23328 | − | 0.153711i | 0.0529252 | − | 0.00659637i | ||||
\(544\) | −5.01141 | − | 1.34280i | −0.214862 | − | 0.0575722i | ||||
\(545\) | 4.09674 | 0.175485 | ||||||||
\(546\) | −16.3172 | − | 2.59759i | −0.698314 | − | 0.111167i | ||||
\(547\) | −10.8785 | −0.465131 | −0.232566 | − | 0.972581i | \(-0.574712\pi\) | ||||
−0.232566 | + | 0.972581i | \(0.574712\pi\) | |||||||
\(548\) | −5.66907 | − | 1.51902i | −0.242171 | − | 0.0648895i | ||||
\(549\) | −1.66563 | − | 1.71228i | −0.0710875 | − | 0.0730781i | ||||
\(550\) | 12.9082 | + | 7.45255i | 0.550408 | + | 0.317778i | ||||
\(551\) | 32.9627 | + | 8.83234i | 1.40426 | + | 0.376270i | ||||
\(552\) | 2.18880 | + | 0.303547i | 0.0931614 | + | 0.0129198i | ||||
\(553\) | 9.92915 | − | 5.82496i | 0.422231 | − | 0.247703i | ||||
\(554\) | −10.5652 | − | 10.5652i | −0.448872 | − | 0.448872i | ||||
\(555\) | −1.57953 | + | 3.74009i | −0.0670474 | + | 0.158758i | ||||
\(556\) | 2.93900 | + | 1.69683i | 0.124641 | + | 0.0719617i | ||||
\(557\) | 36.3533 | − | 9.74083i | 1.54034 | − | 0.412732i | 0.613963 | − | 0.789335i | \(-0.289574\pi\) |
0.926375 | + | 0.376603i | \(0.122908\pi\) | |||||||
\(558\) | −15.9548 | + | 4.03983i | −0.675420 | + | 0.171020i | ||||
\(559\) | 0.922384 | − | 34.1364i | 0.0390127 | − | 1.44382i | ||||
\(560\) | 1.53007 | − | 0.421398i | 0.0646573 | − | 0.0178073i | ||||
\(561\) | −28.5917 | − | 3.96515i | −1.20714 | − | 0.167409i | ||||
\(562\) | 0.595922 | + | 1.03217i | 0.0251375 | + | 0.0435393i | ||||
\(563\) | −6.20164 | + | 10.7416i | −0.261368 | + | 0.452703i | −0.966606 | − | 0.256268i | \(-0.917507\pi\) |
0.705238 | + | 0.708971i | \(0.250840\pi\) | |||||||
\(564\) | 7.85912 | + | 6.11717i | 0.330929 | + | 0.257579i | ||||
\(565\) | 2.61502 | − | 9.75940i | 0.110015 | − | 0.410581i | ||||
\(566\) | −3.56412 | − | 3.56412i | −0.149811 | − | 0.149811i | ||||
\(567\) | 11.4772 | + | 20.8632i | 0.481998 | + | 0.876172i | ||||
\(568\) | −12.4665 | −0.523081 | ||||||||
\(569\) | 13.3186 | + | 23.0685i | 0.558344 | + | 0.967081i | 0.997635 | + | 0.0687356i | \(0.0218965\pi\) |
−0.439291 | + | 0.898345i | \(0.644770\pi\) | |||||||
\(570\) | −6.81322 | − | 5.30309i | −0.285374 | − | 0.222122i | ||||
\(571\) | −38.6796 | − | 22.3317i | −1.61869 | − | 0.934552i | −0.987259 | − | 0.159121i | \(-0.949134\pi\) |
−0.631432 | − | 0.775431i | \(-0.717533\pi\) | |||||||
\(572\) | 11.1020 | + | 3.29863i | 0.464198 | + | 0.137923i | ||||
\(573\) | 15.2402 | + | 20.1478i | 0.636667 | + | 0.841688i | ||||
\(574\) | −9.84045 | − | 16.7739i | −0.410733 | − | 0.700129i | ||||
\(575\) | 5.91994i | 0.246878i | ||||||||
\(576\) | −0.736375 | − | 2.90822i | −0.0306823 | − | 0.121176i | ||||
\(577\) | 10.4543 | − | 2.80122i | 0.435218 | − | 0.116616i | −0.0345564 | − | 0.999403i | \(-0.511002\pi\) |
0.469775 | + | 0.882786i | \(0.344335\pi\) | |||||||
\(578\) | 2.56679 | + | 9.57939i | 0.106764 | + | 0.398450i | ||||
\(579\) | 32.4998 | − | 13.1998i | 1.35065 | − | 0.548563i | ||||
\(580\) | 1.74181 | − | 1.74181i | 0.0723245 | − | 0.0723245i | ||||
\(581\) | 25.5899 | + | 25.2368i | 1.06165 | + | 1.04700i | ||||
\(582\) | −17.7680 | + | 13.4400i | −0.736506 | + | 0.557105i | ||||
\(583\) | −5.30890 | − | 1.42252i | −0.219872 | − | 0.0589146i | ||||
\(584\) | 3.18901 | − | 5.52352i | 0.131962 | − | 0.228565i | ||||
\(585\) | 6.48291 | + | 0.264785i | 0.268035 | + | 0.0109475i | ||||
\(586\) | 3.36646 | + | 5.83089i | 0.139067 | + | 0.240872i | ||||
\(587\) | 9.59239 | − | 9.59239i | 0.395920 | − | 0.395920i | −0.480871 | − | 0.876791i | \(-0.659679\pi\) |
0.876791 | + | 0.480871i | \(0.159679\pi\) | |||||||
\(588\) | −4.56134 | + | 11.2336i | −0.188106 | + | 0.463267i | ||||
\(589\) | 45.5897i | 1.87849i | ||||||||
\(590\) | 1.88503 | + | 0.505091i | 0.0776053 | + | 0.0207943i | ||||
\(591\) | 1.74913 | + | 1.36144i | 0.0719498 | + | 0.0560024i | ||||
\(592\) | 1.01139 | + | 3.77455i | 0.0415678 | + | 0.155133i | ||||
\(593\) | 5.39354 | − | 20.1290i | 0.221486 | − | 0.826598i | −0.762295 | − | 0.647229i | \(-0.775928\pi\) |
0.983782 | − | 0.179369i | \(-0.0574056\pi\) | |||||||
\(594\) | −6.06665 | − | 15.5494i | −0.248918 | − | 0.638000i | ||||
\(595\) | −5.86254 | − | 5.78162i | −0.240341 | − | 0.237023i | ||||
\(596\) | −15.4153 | − | 15.4153i | −0.631435 | − | 0.631435i | ||||
\(597\) | −1.87734 | + | 4.44525i | −0.0768344 | + | 0.181932i | ||||
\(598\) | 1.07011 | + | 4.47375i | 0.0437599 | + | 0.182945i | ||||
\(599\) | −20.0588 | − | 11.5809i | −0.819579 | − | 0.473184i | 0.0306925 | − | 0.999529i | \(-0.490229\pi\) |
−0.850271 | + | 0.526345i | \(0.823562\pi\) | |||||||
\(600\) | 7.44631 | − | 3.02431i | 0.303994 | − | 0.123467i | ||||
\(601\) | −4.85103 | −0.197877 | −0.0989387 | − | 0.995094i | \(-0.531545\pi\) | ||||
−0.0989387 | + | 0.995094i | \(0.531545\pi\) | |||||||
\(602\) | −24.2491 | − | 6.31726i | −0.988319 | − | 0.257472i | ||||
\(603\) | −17.4209 | + | 9.73975i | −0.709432 | + | 0.396633i | ||||
\(604\) | 2.93466 | − | 10.9523i | 0.119410 | − | 0.445643i | ||||
\(605\) | 0.395101 | − | 0.105867i | 0.0160631 | − | 0.00430411i | ||||
\(606\) | −15.7590 | − | 12.2661i | −0.640166 | − | 0.498276i | ||||
\(607\) | −17.4499 | − | 30.2241i | −0.708268 | − | 1.22676i | −0.965499 | − | 0.260407i | \(-0.916143\pi\) |
0.257231 | − | 0.966350i | \(-0.417190\pi\) | |||||||
\(608\) | −8.31005 | −0.337017 | ||||||||
\(609\) | 2.45715 | + | 18.6574i | 0.0995688 | + | 0.756037i | ||||
\(610\) | 0.477630i | 0.0193387i | ||||||||
\(611\) | −5.90470 | + | 19.8731i | −0.238879 | + | 0.803978i | ||||
\(612\) | −11.1567 | + | 10.8528i | −0.450984 | + | 0.438699i | ||||
\(613\) | 18.8091 | − | 5.03987i | 0.759691 | − | 0.203559i | 0.141879 | − | 0.989884i | \(-0.454686\pi\) |
0.617812 | + | 0.786325i | \(0.288019\pi\) | |||||||
\(614\) | 21.2516 | − | 12.2696i | 0.857646 | − | 0.495162i | ||||
\(615\) | 4.60704 | + | 6.09061i | 0.185774 | + | 0.245597i | ||||
\(616\) | 4.19807 | − | 7.38937i | 0.169145 | − | 0.297726i | ||||
\(617\) | −7.75021 | + | 7.75021i | −0.312012 | + | 0.312012i | −0.845688 | − | 0.533677i | \(-0.820810\pi\) |
0.533677 | + | 0.845688i | \(0.320810\pi\) | |||||||
\(618\) | 0.274689 | + | 0.676327i | 0.0110496 | + | 0.0272059i | ||||
\(619\) | −10.8113 | − | 40.3484i | −0.434544 | − | 1.62174i | −0.742156 | − | 0.670228i | \(-0.766196\pi\) |
0.307612 | − | 0.951512i | \(-0.400470\pi\) | |||||||
\(620\) | 2.84992 | + | 1.64540i | 0.114456 | + | 0.0660810i | ||||
\(621\) | 4.14367 | − | 5.17462i | 0.166280 | − | 0.207651i | ||||
\(622\) | −17.2521 | + | 17.2521i | −0.691744 | + | 0.691744i | ||||
\(623\) | 30.7302 | + | 8.00569i | 1.23118 | + | 0.320741i | ||||
\(624\) | 5.08056 | − | 3.63152i | 0.203385 | − | 0.145377i | ||||
\(625\) | 9.86613 | + | 17.0886i | 0.394645 | + | 0.683546i | ||||
\(626\) | −6.68687 | − | 24.9557i | −0.267261 | − | 0.997432i | ||||
\(627\) | −45.8793 | + | 5.71819i | −1.83224 | + | 0.228363i | ||||
\(628\) | −20.6724 | + | 11.9352i | −0.824918 | + | 0.476267i | ||||
\(629\) | 14.3358 | − | 14.3358i | 0.571606 | − | 0.571606i | ||||
\(630\) | 1.26378 | − | 4.59033i | 0.0503502 | − | 0.182883i | ||||
\(631\) | −2.77766 | + | 2.77766i | −0.110577 | + | 0.110577i | −0.760230 | − | 0.649653i | \(-0.774914\pi\) |
0.649653 | + | 0.760230i | \(0.274914\pi\) | |||||||
\(632\) | −1.12612 | + | 4.20274i | −0.0447947 | + | 0.167176i | ||||
\(633\) | −0.575463 | − | 4.61716i | −0.0228726 | − | 0.183516i | ||||
\(634\) | 12.7499 | + | 7.36115i | 0.506363 | + | 0.292349i | ||||
\(635\) | −0.381683 | + | 1.42446i | −0.0151466 | + | 0.0565280i | ||||
\(636\) | −2.36359 | + | 1.78786i | −0.0937225 | + | 0.0708933i | ||||
\(637\) | −25.2367 | − | 0.331043i | −0.999914 | − | 0.0131164i | ||||
\(638\) | − | 13.1909i | − | 0.522234i | ||||||
\(639\) | −19.1451 | + | 32.1275i | −0.757368 | + | 1.27095i | ||||
\(640\) | −0.299922 | + | 0.519481i | −0.0118555 | + | 0.0205343i | ||||
\(641\) | −8.54841 | + | 14.8063i | −0.337642 | + | 0.584813i | −0.983989 | − | 0.178231i | \(-0.942963\pi\) |
0.646347 | + | 0.763044i | \(0.276296\pi\) | |||||||
\(642\) | −8.31533 | − | 20.4736i | −0.328180 | − | 0.808029i | ||||
\(643\) | 15.2523 | + | 15.2523i | 0.601493 | + | 0.601493i | 0.940709 | − | 0.339215i | \(-0.110162\pi\) |
−0.339215 | + | 0.940709i | \(0.610162\pi\) | |||||||
\(644\) | 3.37536 | − | 0.0234544i | 0.133008 | − | 0.000924231i | ||||
\(645\) | 9.74693 | + | 1.35172i | 0.383785 | + | 0.0532241i | ||||
\(646\) | 21.5570 | + | 37.3379i | 0.848151 | + | 1.46904i | ||||
\(647\) | 6.39763 | − | 11.0810i | 0.251517 | − | 0.435640i | −0.712427 | − | 0.701746i | \(-0.752404\pi\) |
0.963944 | + | 0.266106i | \(0.0857373\pi\) | |||||||
\(648\) | −8.62570 | − | 2.56851i | −0.338850 | − | 0.100901i | ||||
\(649\) | 9.05035 | − | 5.22522i | 0.355257 | − | 0.205108i | ||||
\(650\) | 11.5063 | + | 12.1454i | 0.451316 | + | 0.476383i | ||||
\(651\) | −23.2263 | + | 9.62189i | −0.910312 | + | 0.377112i | ||||
\(652\) | −0.954807 | − | 0.954807i | −0.0373931 | − | 0.0373931i | ||||
\(653\) | 9.47898 | − | 5.47269i | 0.370941 | − | 0.214163i | −0.302928 | − | 0.953013i | \(-0.597964\pi\) |
0.673870 | + | 0.738850i | \(0.264631\pi\) | |||||||
\(654\) | −1.46304 | − | 11.7385i | −0.0572093 | − | 0.459013i | ||||
\(655\) | −12.1705 | + | 3.26108i | −0.475541 | + | 0.127421i | ||||
\(656\) | 7.09994 | + | 1.90242i | 0.277206 | + | 0.0742771i | ||||
\(657\) | −9.33733 | − | 16.7011i | −0.364284 | − | 0.651571i | ||||
\(658\) | 13.2273 | + | 7.51473i | 0.515654 | + | 0.292955i | ||||
\(659\) | − | 19.1808i | − | 0.747177i | −0.927595 | − | 0.373588i | \(-0.878127\pi\) | ||
0.927595 | − | 0.373588i | \(-0.121873\pi\) | |||||||
\(660\) | −1.29840 | + | 3.07440i | −0.0505400 | + | 0.119671i | ||||
\(661\) | −0.274549 | − | 1.02463i | −0.0106787 | − | 0.0398535i | 0.960381 | − | 0.278691i | \(-0.0899004\pi\) |
−0.971060 | + | 0.238837i | \(0.923234\pi\) | |||||||
\(662\) | −1.48648 | + | 2.57465i | −0.0577735 | + | 0.100067i | ||||
\(663\) | −29.4962 | − | 13.4070i | −1.14554 | − | 0.520684i | ||||
\(664\) | −13.5843 | −0.527175 | ||||||||
\(665\) | −11.4670 | − | 6.51466i | −0.444672 | − | 0.252628i | ||||
\(666\) | 11.2807 | + | 3.19021i | 0.437117 | + | 0.123618i | ||||
\(667\) | 4.53720 | − | 2.61955i | 0.175681 | − | 0.101430i | ||||
\(668\) | 0.0865481 | + | 0.323002i | 0.00334865 | + | 0.0124973i | ||||
\(669\) | 3.28565 | − | 4.22128i | 0.127031 | − | 0.163204i | ||||
\(670\) | 3.85472 | + | 1.03287i | 0.148921 | + | 0.0399032i | ||||
\(671\) | 1.80858 | + | 1.80858i | 0.0698195 | + | 0.0698195i | ||||
\(672\) | −1.75387 | − | 4.23367i | −0.0676569 | − | 0.163317i | ||||
\(673\) | − | 20.6567i | − | 0.796258i | −0.917329 | − | 0.398129i | \(-0.869660\pi\) | ||
0.917329 | − | 0.398129i | \(-0.130340\pi\) | |||||||
\(674\) | 3.62169 | − | 13.5163i | 0.139502 | − | 0.520630i | ||||
\(675\) | 3.64150 | − | 23.8345i | 0.140161 | − | 0.917392i | ||||
\(676\) | 10.8909 | + | 7.09848i | 0.418880 | + | 0.273019i | ||||
\(677\) | 16.6890 | − | 9.63538i | 0.641409 | − | 0.370318i | −0.143748 | − | 0.989614i | \(-0.545916\pi\) |
0.785157 | + | 0.619297i | \(0.212582\pi\) | |||||||
\(678\) | −28.8978 | − | 4.00761i | −1.10981 | − | 0.153911i | ||||
\(679\) | −23.8958 | + | 24.2302i | −0.917036 | + | 0.929870i | ||||
\(680\) | 3.11211 | 0.119344 | ||||||||
\(681\) | 34.1201 | − | 13.8578i | 1.30749 | − | 0.531033i | ||||
\(682\) | 17.0219 | − | 4.56100i | 0.651801 | − | 0.174650i | ||||
\(683\) | 23.0006 | − | 6.16299i | 0.880093 | − | 0.235820i | 0.209646 | − | 0.977777i | \(-0.432769\pi\) |
0.670447 | + | 0.741957i | \(0.266102\pi\) | |||||||
\(684\) | −12.7620 | + | 21.4160i | −0.487966 | + | 0.818860i | ||||
\(685\) | 3.52052 | 0.134512 | ||||||||
\(686\) | −4.41947 | + | 17.9852i | −0.168736 | + | 0.686679i | ||||
\(687\) | 1.01874 | − | 7.34585i | 0.0388673 | − | 0.280261i | ||||
\(688\) | 8.20230 | − | 4.73560i | 0.312710 | − | 0.180543i | ||||
\(689\) | −5.25746 | − | 3.22781i | −0.200293 | − | 0.122970i | ||||
\(690\) | −1.31533 | + | 0.163937i | −0.0500736 | + | 0.00624096i | ||||
\(691\) | 1.29565 | − | 4.83543i | 0.0492888 | − | 0.183948i | −0.936893 | − | 0.349617i | \(-0.886312\pi\) |
0.986181 | + | 0.165669i | \(0.0529783\pi\) | |||||||
\(692\) | 25.3500i | 0.963663i | ||||||||
\(693\) | −12.5962 | − | 22.1670i | −0.478490 | − | 0.842054i | ||||
\(694\) | −7.03971 | − | 7.03971i | −0.267224 | − | 0.267224i | ||||
\(695\) | −1.96631 | − | 0.526871i | −0.0745863 | − | 0.0199853i | ||||
\(696\) | −5.61289 | − | 4.36881i | −0.212756 | − | 0.165599i | ||||
\(697\) | −9.87013 | − | 36.8358i | −0.373858 | − | 1.39526i | ||||
\(698\) | −17.1084 | + | 9.87755i | −0.647563 | + | 0.373871i | ||||
\(699\) | −19.8557 | + | 15.0192i | −0.751012 | + | 0.568078i | ||||
\(700\) | 10.5891 | − | 6.21212i | 0.400230 | − | 0.234796i | ||||
\(701\) | −12.9949 | −0.490810 | −0.245405 | − | 0.969421i | \(-0.578921\pi\) | ||||
−0.245405 | + | 0.969421i | \(0.578921\pi\) | |||||||
\(702\) | −1.55649 | − | 18.6702i | −0.0587461 | − | 0.704662i | ||||
\(703\) | 16.2366 | − | 28.1226i | 0.612374 | − | 1.06066i | ||||
\(704\) | 0.831373 | + | 3.10273i | 0.0313336 | + | 0.116938i | ||||
\(705\) | −5.50331 | − | 2.32419i | −0.207267 | − | 0.0875339i | ||||
\(706\) | − | 14.8391i | − | 0.558479i | ||||||
\(707\) | −26.5233 | − | 15.0685i | −0.997510 | − | 0.566708i | ||||
\(708\) | 0.774068 | − | 5.58160i | 0.0290913 | − | 0.209769i | ||||
\(709\) | 42.1942 | + | 11.3059i | 1.58464 | + | 0.424602i | 0.940358 | − | 0.340187i | \(-0.110490\pi\) |
0.644280 | + | 0.764789i | \(0.277157\pi\) | |||||||
\(710\) | 7.22313 | − | 1.93543i | 0.271079 | − | 0.0726355i | ||||
\(711\) | 9.10155 | + | 9.35641i | 0.341335 | + | 0.350893i | ||||
\(712\) | −10.3946 | + | 6.00130i | −0.389552 | + | 0.224908i | ||||
\(713\) | 4.94915 | + | 4.94915i | 0.185347 | + | 0.185347i | ||||
\(714\) | −14.4726 | + | 18.8628i | −0.541624 | + | 0.705924i | ||||
\(715\) | −6.94467 | − | 0.187648i | −0.259716 | − | 0.00701766i | ||||
\(716\) | −2.56356 | + | 1.48007i | −0.0958047 | + | 0.0553129i | ||||
\(717\) | 13.6684 | + | 10.6388i | 0.510454 | + | 0.397314i | ||||
\(718\) | 7.49485 | − | 12.9815i | 0.279705 | − | 0.484464i | ||||
\(719\) | −15.7316 | − | 27.2479i | −0.586690 | − | 1.01618i | −0.994662 | − | 0.103182i | \(-0.967098\pi\) |
0.407973 | − | 0.912994i | \(-0.366236\pi\) | |||||||
\(720\) | 0.878164 | + | 1.57072i | 0.0327273 | + | 0.0585371i | ||||
\(721\) | 0.564229 | + | 0.961777i | 0.0210130 | + | 0.0358184i | ||||
\(722\) | 35.3955 | + | 35.3955i | 1.31729 | + | 1.31729i | ||||
\(723\) | 13.2723 | − | 5.39051i | 0.493601 | − | 0.200475i | ||||
\(724\) | −0.358773 | + | 0.621412i | −0.0133337 | + | 0.0230946i | ||||
\(725\) | 9.52755 | − | 16.5022i | 0.353844 | − | 0.612877i | ||||
\(726\) | −0.444443 | − | 1.09429i | −0.0164948 | − | 0.0406128i | ||||
\(727\) | − | 42.0789i | − | 1.56062i | −0.625393 | − | 0.780310i | \(-0.715061\pi\) | ||
0.625393 | − | 0.780310i | \(-0.284939\pi\) | |||||||
\(728\) | 6.87935 | − | 6.60867i | 0.254966 | − | 0.244934i | ||||
\(729\) | −19.8661 | + | 18.2849i | −0.735781 | + | 0.677220i | ||||
\(730\) | −0.990194 | + | 3.69545i | −0.0366487 | + | 0.136775i | ||||
\(731\) | −42.5551 | − | 24.5692i | −1.57396 | − | 0.908724i | ||||
\(732\) | 1.36857 | − | 0.170572i | 0.0505837 | − | 0.00630454i | ||||
\(733\) | 5.35665 | − | 19.9913i | 0.197852 | − | 0.738395i | −0.793658 | − | 0.608365i | \(-0.791826\pi\) |
0.991510 | − | 0.130030i | \(-0.0415075\pi\) | |||||||
\(734\) | 8.71100 | − | 8.71100i | 0.321529 | − | 0.321529i | ||||
\(735\) | 0.898831 | − | 7.21697i | 0.0331539 | − | 0.266202i | ||||
\(736\) | −0.902125 | + | 0.902125i | −0.0332528 | + | 0.0332528i | ||||
\(737\) | 18.5072 | − | 10.6851i | 0.681722 | − | 0.393592i | ||||
\(738\) | 15.8063 | − | 15.3758i | 0.581839 | − | 0.565990i | ||||
\(739\) | 9.97235 | + | 37.2173i | 0.366839 | + | 1.36906i | 0.864911 | + | 0.501925i | \(0.167375\pi\) |
−0.498072 | + | 0.867136i | \(0.665959\pi\) | |||||||
\(740\) | −1.17201 | − | 2.02997i | −0.0430838 | − | 0.0746233i | ||||
\(741\) | −51.1929 | − | 8.51471i | −1.88062 | − | 0.312796i | ||||
\(742\) | −3.17875 | + | 3.22323i | −0.116696 | + | 0.118329i | ||||
\(743\) | −1.60617 | + | 1.60617i | −0.0589248 | + | 0.0589248i | −0.735955 | − | 0.677030i | \(-0.763267\pi\) |
0.677030 | + | 0.735955i | \(0.263267\pi\) | |||||||
\(744\) | 3.69685 | − | 8.75358i | 0.135533 | − | 0.320922i | ||||
\(745\) | 11.3249 | + | 6.53846i | 0.414914 | + | 0.239551i | ||||
\(746\) | 1.30836 | + | 4.88287i | 0.0479025 | + | 0.178775i | ||||
\(747\) | −20.8618 | + | 35.0085i | −0.763295 | + | 1.28089i | ||||
\(748\) | 11.7842 | − | 11.7842i | 0.430874 | − | 0.430874i | ||||
\(749\) | −17.0802 | − | 29.1147i | −0.624097 | − | 1.06383i | ||||
\(750\) | −7.98796 | + | 6.04222i | −0.291679 | + | 0.220631i | ||||
\(751\) | 1.80427 | − | 1.04170i | 0.0658387 | − | 0.0380120i | −0.466719 | − | 0.884406i | \(-0.654564\pi\) |
0.532558 | + | 0.846394i | \(0.321231\pi\) | |||||||
\(752\) | −5.55402 | + | 1.48819i | −0.202534 | + | 0.0542689i | ||||
\(753\) | 5.46011 | + | 43.8086i | 0.198977 | + | 1.59647i | ||||
\(754\) | 4.21707 | − | 14.1931i | 0.153576 | − | 0.516882i | ||||
\(755\) | 6.80143i | 0.247529i | ||||||||
\(756\) | −13.6041 | − | 1.98184i | −0.494777 | − | 0.0720787i | ||||
\(757\) | −10.9645 | −0.398510 | −0.199255 | − | 0.979948i | \(-0.563852\pi\) | ||||
−0.199255 | + | 0.979948i | \(0.563852\pi\) | |||||||
\(758\) | 0.852595 | + | 1.47674i | 0.0309676 | + | 0.0536375i | ||||
\(759\) | −4.35982 | + | 5.60133i | −0.158251 | + | 0.203316i | ||||
\(760\) | 4.81488 | − | 1.29014i | 0.174654 | − | 0.0467985i | ||||
\(761\) | −5.57308 | + | 20.7990i | −0.202024 | + | 0.753964i | 0.788312 | + | 0.615276i | \(0.210955\pi\) |
−0.990336 | + | 0.138688i | \(0.955711\pi\) | |||||||
\(762\) | 4.21786 | + | 0.584941i | 0.152797 | + | 0.0211902i | ||||
\(763\) | −4.79793 | − | 17.4210i | −0.173697 | − | 0.630683i | ||||
\(764\) | −14.5854 | −0.527680 | ||||||||
\(765\) | 4.77935 | − | 8.02027i | 0.172798 | − | 0.289974i | ||||
\(766\) | 15.7532 | + | 9.09514i | 0.569188 | + | 0.328621i | ||||
\(767\) | 11.4084 | − | 2.72885i | 0.411934 | − | 0.0985332i | ||||
\(768\) | 1.59559 | + | 0.673858i | 0.0575760 | + | 0.0243158i | ||||
\(769\) | 15.9582 | + | 15.9582i | 0.575466 | + | 0.575466i | 0.933651 | − | 0.358185i | \(-0.116604\pi\) |
−0.358185 | + | 0.933651i | \(0.616604\pi\) | |||||||
\(770\) | −1.28517 | + | 4.93320i | −0.0463145 | + | 0.177780i | ||||
\(771\) | −17.9648 | + | 13.5889i | −0.646988 | + | 0.489392i | ||||
\(772\) | −5.24169 | + | 19.5623i | −0.188653 | + | 0.704061i | ||||
\(773\) | −7.23162 | − | 26.9888i | −0.260103 | − | 0.970719i | −0.965180 | − | 0.261588i | \(-0.915754\pi\) |
0.705076 | − | 0.709131i | \(-0.250913\pi\) | |||||||
\(774\) | 0.392292 | − | 28.4109i | 0.0141007 | − | 1.02121i | ||||
\(775\) | 24.5891 | + | 6.58864i | 0.883267 | + | 0.236671i | ||||
\(776\) | − | 12.8625i | − | 0.461738i | ||||||
\(777\) | 17.7542 | + | 2.33657i | 0.636930 | + | 0.0838242i | ||||
\(778\) | 21.8565 | − | 21.8565i | 0.783595 | − | 0.783595i | ||||
\(779\) | −30.5411 | − | 52.8987i | −1.09425 | − | 1.89529i | ||||
\(780\) | −2.37991 | + | 2.89288i | −0.0852143 | + | 0.103582i | ||||
\(781\) | 20.0222 | − | 34.6796i | 0.716452 | − | 1.24093i | ||||
\(782\) | 6.39354 | + | 1.71314i | 0.228632 | + | 0.0612619i | ||||
\(783\) | −19.8788 | + | 7.75577i | −0.710411 | + | 0.277169i | ||||
\(784\) | −3.58391 | − | 6.01295i | −0.127997 | − | 0.214748i | ||||
\(785\) | 10.1247 | − | 10.1247i | 0.361367 | − | 0.361367i | ||||
\(786\) | 13.6904 | + | 33.7079i | 0.488322 | + | 1.20232i | ||||
\(787\) | 4.16696 | + | 15.5513i | 0.148536 | + | 0.554344i | 0.999572 | + | 0.0292373i | \(0.00930784\pi\) |
−0.851037 | + | 0.525106i | \(0.824025\pi\) | |||||||
\(788\) | −1.23611 | + | 0.331214i | −0.0440345 | + | 0.0117990i | ||||
\(789\) | 5.80935 | − | 13.7556i | 0.206818 | − | 0.489714i | ||||
\(790\) | − | 2.60992i | − | 0.0928569i | ||||||
\(791\) | −44.5635 | + | 0.309658i | −1.58450 | + | 0.0110102i | ||||
\(792\) | 9.27286 | + | 2.62239i | 0.329497 | + | 0.0931827i | ||||
\(793\) | 1.36779 | + | 2.52418i | 0.0485717 | + | 0.0896362i | ||||
\(794\) | −5.88553 | − | 3.39801i | −0.208870 | − | 0.120591i | ||||
\(795\) | 1.09191 | − | 1.40285i | 0.0387261 | − | 0.0497538i | ||||
\(796\) | −1.39298 | − | 2.41271i | −0.0493728 | − | 0.0855162i | ||||
\(797\) | −36.5440 | −1.29446 | −0.647228 | − | 0.762297i | \(-0.724072\pi\) | ||||
−0.647228 | + | 0.762297i | \(0.724072\pi\) | |||||||
\(798\) | −14.5715 | + | 35.1833i | −0.515827 | + | 1.24548i | ||||
\(799\) | 21.0943 | + | 21.0943i | 0.746261 | + | 0.746261i | ||||
\(800\) | −1.20097 | + | 4.48208i | −0.0424607 | + | 0.158465i | ||||
\(801\) | −0.497141 | + | 36.0043i | −0.0175656 | + | 1.27215i | ||||
\(802\) | −11.8424 | + | 20.5116i | −0.418169 | + | 0.724289i | ||||
\(803\) | 10.2437 | + | 17.7425i | 0.361491 | + | 0.626120i | ||||
\(804\) | 1.58291 | − | 11.4139i | 0.0558248 | − | 0.402538i | ||||
\(805\) | −1.95206 | + | 0.537618i | −0.0688011 | + | 0.0189486i | ||||
\(806\) | 19.7732 | + | 0.534282i | 0.696481 | + | 0.0188193i | ||||
\(807\) | −15.4799 | + | 36.6539i | −0.544917 | + | 1.29028i | ||||
\(808\) | 11.1369 | − | 2.98411i | 0.391793 | − | 0.104981i | ||||
\(809\) | 34.2469 | + | 19.7725i | 1.20406 | + | 0.695163i | 0.961455 | − | 0.274963i | \(-0.0886655\pi\) |
0.242603 | + | 0.970126i | \(0.421999\pi\) | |||||||
\(810\) | 5.39654 | + | 0.149057i | 0.189615 | + | 0.00523734i | ||||
\(811\) | 12.9524 | + | 12.9524i | 0.454821 | + | 0.454821i | 0.896951 | − | 0.442130i | \(-0.145777\pi\) |
−0.442130 | + | 0.896951i | \(0.645777\pi\) | |||||||
\(812\) | −9.44678 | − | 5.36693i | −0.331517 | − | 0.188342i | ||||
\(813\) | 4.72988 | − | 34.1059i | 0.165884 | − | 1.19615i | ||||
\(814\) | −12.1245 | − | 3.24876i | −0.424964 | − | 0.113869i | ||||
\(815\) | 0.701455 | + | 0.404985i | 0.0245709 | + | 0.0141860i | ||||
\(816\) | −1.11140 | − | 8.91722i | −0.0389069 | − | 0.312165i | ||||
\(817\) | −76.0243 | − | 20.3706i | −2.65975 | − | 0.712678i | ||||
\(818\) | 2.54018 | 0.0888153 | ||||||||
\(819\) | −6.46653 | − | 27.8780i | −0.225959 | − | 0.974137i | ||||
\(820\) | −4.40910 | −0.153972 | ||||||||
\(821\) | 49.2090 | + | 13.1855i | 1.71741 | + | 0.460178i | 0.977221 | − | 0.212224i | \(-0.0680706\pi\) |
0.740186 | + | 0.672402i | \(0.234737\pi\) | |||||||
\(822\) | −1.25726 | − | 10.0875i | −0.0438519 | − | 0.351840i | ||||
\(823\) | 24.0663 | + | 13.8947i | 0.838897 | + | 0.484337i | 0.856889 | − | 0.515501i | \(-0.172394\pi\) |
−0.0179923 | + | 0.999838i | \(0.505727\pi\) | |||||||
\(824\) | −0.407094 | − | 0.109080i | −0.0141818 | − | 0.00380000i | ||||
\(825\) | −3.54633 | + | 25.5717i | −0.123467 | + | 0.890291i | ||||
\(826\) | −0.0598104 | − | 8.60743i | −0.00208107 | − | 0.299491i | ||||
\(827\) | 28.9331 | + | 28.9331i | 1.00610 | + | 1.00610i | 0.999981 | + | 0.00612059i | \(0.00194825\pi\) |
0.00612059 | + | 0.999981i | \(0.498052\pi\) | |||||||
\(828\) | 0.939465 | + | 3.71030i | 0.0326487 | + | 0.128942i | ||||
\(829\) | 11.7669 | + | 6.79364i | 0.408682 | + | 0.235953i | 0.690223 | − | 0.723596i | \(-0.257512\pi\) |
−0.281541 | + | 0.959549i | \(0.590846\pi\) | |||||||
\(830\) | 7.87084 | − | 2.10898i | 0.273201 | − | 0.0732039i | ||||
\(831\) | 10.0684 | − | 23.8405i | 0.349270 | − | 0.827017i | ||||
\(832\) | −0.0973883 | + | 3.60424i | −0.00337633 | + | 0.124954i | ||||
\(833\) | −17.7198 | + | 31.7010i | −0.613956 | + | 1.09838i | ||||
\(834\) | −0.807446 | + | 5.82228i | −0.0279596 | + | 0.201609i | ||||
\(835\) | −0.100293 | − | 0.173712i | −0.00347078 | − | 0.00601157i | ||||
\(836\) | 13.3467 | − | 23.1171i | 0.461604 | − | 0.799522i | ||||
\(837\) | −16.8817 | − | 22.9703i | −0.583515 | − | 0.793971i | ||||
\(838\) | 1.00443 | − | 3.74857i | 0.0346973 | − | 0.129492i | ||||
\(839\) | 10.8590 | + | 10.8590i | 0.374896 | + | 0.374896i | 0.869257 | − | 0.494361i | \(-0.164598\pi\) |
−0.494361 | + | 0.869257i | \(0.664598\pi\) | |||||||
\(840\) | 1.67348 | + | 2.18072i | 0.0577406 | + | 0.0752420i | ||||
\(841\) | 12.1363 | 0.418494 | ||||||||
\(842\) | −0.185312 | − | 0.320969i | −0.00638627 | − | 0.0110613i | ||||
\(843\) | −1.26796 | + | 1.62903i | −0.0436710 | + | 0.0561068i | ||||
\(844\) | 2.32644 | + | 1.34317i | 0.0800794 | + | 0.0462339i | ||||
\(845\) | −7.41229 | − | 2.42208i | −0.254991 | − | 0.0833219i | ||||
\(846\) | −4.69420 | + | 16.5988i | −0.161390 | + | 0.570679i | ||||
\(847\) | −0.912914 | − | 1.55614i | −0.0313681 | − | 0.0534696i | ||||
\(848\) | − | 1.71104i | − | 0.0587575i | ||||||
\(849\) | 3.39653 | − | 8.04246i | 0.116569 | − | 0.276017i | ||||
\(850\) | 23.2539 | − | 6.23085i | 0.797601 | − | 0.213717i | ||||
\(851\) | −1.29032 | − | 4.81556i | −0.0442318 | − | 0.165075i | ||||
\(852\) | −8.12520 | − | 20.0055i | −0.278365 | − | 0.685376i | ||||
\(853\) | −17.7621 | + | 17.7621i | −0.608162 | + | 0.608162i | −0.942465 | − | 0.334304i | \(-0.891499\pi\) |
0.334304 | + | 0.942465i | \(0.391499\pi\) | |||||||
\(854\) | 2.03108 | − | 0.559380i | 0.0695020 | − | 0.0191416i | ||||
\(855\) | 4.06949 | − | 14.3898i | 0.139174 | − | 0.492122i | ||||
\(856\) | 12.3235 | + | 3.30206i | 0.421207 | + | 0.112862i | ||||
\(857\) | 2.75343 | − | 4.76907i | 0.0940553 | − | 0.162908i | −0.815159 | − | 0.579238i | \(-0.803350\pi\) |
0.909214 | + | 0.416329i | \(0.136684\pi\) | |||||||
\(858\) | 1.94242 | + | 19.9658i | 0.0663132 | + | 0.681621i | ||||
\(859\) | 20.8680 | + | 36.1445i | 0.712008 | + | 1.23323i | 0.964102 | + | 0.265531i | \(0.0855472\pi\) |
−0.252095 | + | 0.967703i | \(0.581119\pi\) | |||||||
\(860\) | −4.01725 | + | 4.01725i | −0.136987 | + | 0.136987i | ||||
\(861\) | 20.5042 | − | 26.7240i | 0.698780 | − | 0.910753i | ||||
\(862\) | − | 14.5188i | − | 0.494511i | ||||||
\(863\) | 0.943703 | + | 0.252864i | 0.0321240 | + | 0.00860761i | 0.274845 | − | 0.961488i | \(-0.411373\pi\) |
−0.242721 | + | 0.970096i | \(0.578040\pi\) | |||||||
\(864\) | 4.18701 | − | 3.07717i | 0.142445 | − | 0.104687i | ||||
\(865\) | −3.93562 | − | 14.6879i | −0.133815 | − | 0.499405i | ||||
\(866\) | −2.39222 | + | 8.92788i | −0.0812909 | + | 0.303382i | ||||
\(867\) | −13.6995 | + | 10.3625i | −0.465260 | + | 0.351931i | ||||
\(868\) | 3.65921 | − | 14.0460i | 0.124202 | − | 0.476754i | ||||
\(869\) | −9.88265 | − | 9.88265i | −0.335246 | − | 0.335246i | ||||
\(870\) | 3.93040 | + | 1.65990i | 0.133253 | + | 0.0562760i | ||||
\(871\) | 23.3292 | − | 5.58028i | 0.790481 | − | 0.189081i | ||||
\(872\) | 5.91467 | + | 3.41484i | 0.200296 | + | 0.115641i | ||||
\(873\) | −33.1482 | − | 19.7533i | −1.12190 | − | 0.668549i | ||||
\(874\) | 10.6019 | 0.358616 | ||||||||
\(875\) | −10.7428 | + | 10.8932i | −0.363175 | + | 0.368257i | ||||
\(876\) | 10.9423 | + | 1.51750i | 0.369707 | + | 0.0512717i | ||||
\(877\) | 5.91791 | − | 22.0859i | 0.199833 | − | 0.745789i | −0.791129 | − | 0.611649i | \(-0.790506\pi\) |
0.990962 | − | 0.134139i | \(-0.0428270\pi\) | |||||||
\(878\) | −6.10007 | + | 1.63451i | −0.205867 | + | 0.0551620i | ||||
\(879\) | −7.16294 | + | 9.20268i | −0.241600 | + | 0.310399i | ||||
\(880\) | −0.963404 | − | 1.66866i | −0.0324763 | − | 0.0562507i | ||||
\(881\) | 8.65737 | 0.291674 | 0.145837 | − | 0.989309i | \(-0.453412\pi\) | ||||
0.145837 | + | 0.989309i | \(0.453412\pi\) | |||||||
\(882\) | −21.0000 | + | 0.00189502i | −0.707107 | + | 6.38087e-5i | ||||
\(883\) | 32.3230i | 1.08776i | 0.839164 | + | 0.543878i | \(0.183045\pi\) | ||||
−0.839164 | + | 0.543878i | \(0.816955\pi\) | |||||||
\(884\) | 16.4468 | − | 8.91215i | 0.553167 | − | 0.299748i | ||||
\(885\) | 0.418051 | + | 3.35419i | 0.0140526 | + | 0.112750i | ||||
\(886\) | −14.5064 | + | 3.88698i | −0.487352 | + | 0.130586i | ||||
\(887\) | −31.4819 | + | 18.1761i | −1.05706 | + | 0.610292i | −0.924617 | − | 0.380899i | \(-0.875615\pi\) |
−0.132440 | + | 0.991191i | \(0.542281\pi\) | |||||||
\(888\) | −5.39800 | + | 4.08313i | −0.181145 | + | 0.137021i | ||||
\(889\) | 6.50439 | − | 0.0451970i | 0.218150 | − | 0.00151586i | ||||
\(890\) | 5.09095 | − | 5.09095i | 0.170649 | − | 0.170649i | ||||
\(891\) | 20.9988 | − | 19.8700i | 0.703486 | − | 0.665669i | ||||
\(892\) | 0.799337 | + | 2.98317i | 0.0267638 | + | 0.0998838i | ||||
\(893\) | 41.3807 | + | 23.8911i | 1.38475 | + | 0.799487i | ||||
\(894\) | 14.6905 | − | 34.7847i | 0.491322 | − | 1.16338i | ||||
\(895\) | 1.25556 | − | 1.25556i | 0.0419686 | − | 0.0419686i | ||||
\(896\) | 2.56030 | + | 0.666997i | 0.0855335 | + | 0.0222828i | ||||
\(897\) | −6.48176 | + | 4.63308i | −0.216420 | + | 0.154694i | ||||
\(898\) | −7.98748 | − | 13.8347i | −0.266546 | − | 0.461671i | ||||
\(899\) | −5.83090 | − | 21.7612i | −0.194472 | − | 0.725778i | ||||
\(900\) | 9.70648 | + | 9.97829i | 0.323549 | + | 0.332610i | ||||
\(901\) | −7.68790 | + | 4.43861i | −0.256121 | + | 0.147872i | ||||
\(902\) | −16.6954 | + | 16.6954i | −0.555894 | + | 0.555894i | ||||
\(903\) | −5.66710 | − | 43.0309i | −0.188589 | − | 1.43198i | ||||
\(904\) | 11.9104 | − | 11.9104i | 0.396133 | − | 0.396133i | ||||
\(905\) | 0.111400 | − | 0.415750i | 0.00370305 | − | 0.0138200i | ||||
\(906\) | 19.4883 | − | 2.42894i | 0.647457 | − | 0.0806962i | ||||
\(907\) | −0.583687 | − | 0.336992i | −0.0193810 | − | 0.0111896i | 0.490278 | − | 0.871566i | \(-0.336895\pi\) |
−0.509659 | + | 0.860376i | \(0.670229\pi\) | |||||||
\(908\) | −5.50302 | + | 20.5375i | −0.182624 | + | 0.681562i | ||||
\(909\) | 9.41276 | − | 33.2838i | 0.312202 | − | 1.10395i | ||||
\(910\) | −2.95993 | + | 4.89713i | −0.0981207 | + | 0.162338i | ||||
\(911\) | − | 12.7937i | − | 0.423875i | −0.977283 | − | 0.211937i | \(-0.932023\pi\) | ||
0.977283 | − | 0.211937i | \(-0.0679772\pi\) | |||||||
\(912\) | −5.41619 | − | 13.3355i | −0.179348 | − | 0.441582i | ||||
\(913\) | 21.8177 | − | 37.7893i | 0.722059 | − | 1.25064i | ||||
\(914\) | 8.28794 | − | 14.3551i | 0.274141 | − | 0.474825i | ||||
\(915\) | −0.766474 | + | 0.311302i | −0.0253389 | + | 0.0102913i | ||||
\(916\) | 3.02763 | + | 3.02763i | 0.100036 | + | 0.100036i | ||||
\(917\) | 28.1210 | + | 47.9347i | 0.928637 | + | 1.58294i | ||||
\(918\) | −24.6875 | − | 10.8302i | −0.814810 | − | 0.357450i | ||||
\(919\) | 18.3696 | + | 31.8172i | 0.605959 | + | 1.04955i | 0.991899 | + | 0.127027i | \(0.0405436\pi\) |
−0.385941 | + | 0.922524i | \(0.626123\pi\) | |||||||
\(920\) | 0.382640 | − | 0.662752i | 0.0126153 | − | 0.0218503i | ||||
\(921\) | 33.5407 | + | 26.1065i | 1.10520 | + | 0.860239i | ||||
\(922\) | 15.1674 | − | 8.75692i | 0.499513 | − | 0.288394i | ||||
\(923\) | 32.6303 | − | 30.9133i | 1.07404 | − | 1.01752i | ||||
\(924\) | 14.5942 | + | 1.92069i | 0.480114 | + | 0.0631862i | ||||
\(925\) | −12.8216 | − | 12.8216i | −0.421571 | − | 0.421571i | ||||
\(926\) | −18.8296 | + | 10.8713i | −0.618778 | + | 0.357252i | ||||
\(927\) | −0.906299 | + | 0.881612i | −0.0297668 | + | 0.0289559i | ||||
\(928\) | 3.96661 | − | 1.06285i | 0.130210 | − | 0.0348898i | ||||
\(929\) | 10.1081 | + | 2.70847i | 0.331638 | + | 0.0888620i | 0.420796 | − | 0.907155i | \(-0.361751\pi\) |
−0.0891581 | + | 0.996017i | \(0.528418\pi\) | |||||||
\(930\) | −0.782973 | + | 5.64581i | −0.0256747 | + | 0.185133i | ||||
\(931\) | −14.2733 | + | 56.3920i | −0.467789 | + | 1.84817i | ||||
\(932\) | − | 14.3739i | − | 0.470832i | ||||||
\(933\) | −38.9294 | − | 16.4409i | −1.27449 | − | 0.538249i | ||||
\(934\) | −1.52572 | − | 5.69408i | −0.0499232 | − | 0.186316i | ||||
\(935\) | −4.99832 | + | 8.65735i | −0.163463 | + | 0.283126i | ||||
\(936\) | 9.13898 | + | 5.78610i | 0.298717 | + | 0.189125i | ||||
\(937\) | −22.8370 | −0.746052 | −0.373026 | − | 0.927821i | \(-0.621680\pi\) | ||||
−0.373026 | + | 0.927821i | \(0.621680\pi\) | |||||||
\(938\) | −0.122307 | − | 17.6015i | −0.00399348 | − | 0.574708i | ||||
\(939\) | 35.6893 | − | 26.9960i | 1.16468 | − | 0.880981i | ||||
\(940\) | 2.98698 | − | 1.72454i | 0.0974247 | − | 0.0562482i | ||||
\(941\) | −12.3909 | − | 46.2433i | −0.403930 | − | 1.50749i | −0.806020 | − | 0.591888i | \(-0.798383\pi\) |
0.402090 | − | 0.915600i | \(-0.368284\pi\) | |||||||
\(942\) | −32.6265 | − | 25.3949i | −1.06303 | − | 0.827412i | ||||
\(943\) | −9.05808 | − | 2.42711i | −0.294972 | − | 0.0790374i | ||||
\(944\) | 2.30049 | + | 2.30049i | 0.0748745 | + | 0.0748745i | ||||
\(945\) | 8.18999 | − | 0.963770i | 0.266420 | − | 0.0313514i | ||||
\(946\) | 30.4232i | 0.989143i | ||||||||
\(947\) | −10.1022 | + | 37.7018i | −0.328276 | + | 1.22514i | 0.582701 | + | 0.812687i | \(0.301996\pi\) |
−0.910977 | + | 0.412457i | \(0.864671\pi\) | |||||||
\(948\) | −7.47829 | + | 0.932061i | −0.242884 | + | 0.0302719i | ||||
\(949\) | 5.34972 | + | 22.3653i | 0.173659 | + | 0.726009i | ||||
\(950\) | 33.3941 | − | 19.2801i | 1.08345 | − | 0.625528i | ||||
\(951\) | −3.50284 | + | 25.2580i | −0.113587 | + | 0.819048i | ||||
\(952\) | −3.64477 | − | 13.2339i | −0.118128 | − | 0.428914i | ||||
\(953\) | −16.5271 | −0.535364 | −0.267682 | − | 0.963507i | \(-0.586258\pi\) | ||||
−0.267682 | + | 0.963507i | \(0.586258\pi\) | |||||||
\(954\) | −4.40956 | − | 2.62770i | −0.142765 | − | 0.0850748i | ||||
\(955\) | 8.45084 | − | 2.26439i | 0.273463 | − | 0.0732741i | ||||
\(956\) | −9.65940 | + | 2.58823i | −0.312407 | + | 0.0837093i | ||||
\(957\) | 21.1681 | − | 8.59738i | 0.684267 | − | 0.277914i | ||||
\(958\) | −18.0775 | −0.584058 | ||||||||
\(959\) | −4.12308 | − | 14.9707i | −0.133141 | − | 0.483428i | ||||
\(960\) | −1.02911 | − | 0.142719i | −0.0332145 | − | 0.00460625i | ||||
\(961\) | −0.781758 | + | 0.451348i | −0.0252180 | + | 0.0145596i | ||||
\(962\) | −12.0071 | − | 7.37171i | −0.387123 | − | 0.237674i | ||||
\(963\) | 27.4353 | − | 26.6879i | 0.884089 | − | 0.860007i | ||||
\(964\) | −2.14060 | + | 7.98882i | −0.0689440 | + | 0.257303i | ||||
\(965\) | − | 12.1483i | − | 0.391066i | ||||||
\(966\) | 2.23758 | + | 5.40130i | 0.0719929 | + | 0.173784i | ||||
\(967\) | −9.49989 | − | 9.49989i | −0.305496 | − | 0.305496i | 0.537664 | − | 0.843160i | \(-0.319307\pi\) |
−0.843160 | + | 0.537664i | \(0.819307\pi\) | |||||||
\(968\) | 0.658672 | + | 0.176491i | 0.0211705 | + | 0.00567263i | ||||
\(969\) | −45.8677 | + | 58.9291i | −1.47348 | + | 1.89307i | ||||
\(970\) | 1.99692 | + | 7.45261i | 0.0641173 | + | 0.239289i | ||||
\(971\) | 17.2979 | − | 9.98695i | 0.555116 | − | 0.320496i | −0.196067 | − | 0.980591i | \(-0.562817\pi\) |
0.751183 | + | 0.660094i | \(0.229484\pi\) | |||||||
\(972\) | −1.50013 | − | 15.5161i | −0.0481166 | − | 0.497679i | ||||
\(973\) | 0.0623894 | + | 8.97858i | 0.00200011 | + | 0.287840i | ||||
\(974\) | 38.7798 | 1.24258 | ||||||||
\(975\) | −11.9909 | + | 26.3807i | −0.384015 | + | 0.844858i | ||||
\(976\) | −0.398128 | + | 0.689579i | −0.0127438 | + | 0.0220729i | ||||
\(977\) | 0.219237 | + | 0.818205i | 0.00701403 | + | 0.0261767i | 0.969344 | − | 0.245707i | \(-0.0790201\pi\) |
−0.962330 | + | 0.271884i | \(0.912353\pi\) | |||||||
\(978\) | 0.909911 | − | 2.15453i | 0.0290957 | − | 0.0688942i | ||||
\(979\) | − | 38.5545i | − | 1.23221i | ||||||
\(980\) | 3.01005 | + | 2.92753i | 0.0961526 | + | 0.0935166i | ||||
\(981\) | 17.8838 | − | 9.99856i | 0.570985 | − | 0.319229i | ||||
\(982\) | −8.95841 | − | 2.40040i | −0.285874 | − | 0.0765998i | ||||
\(983\) | −9.53265 | + | 2.55427i | −0.304044 | + | 0.0814685i | −0.407616 | − | 0.913154i | \(-0.633640\pi\) |
0.103571 | + | 0.994622i | \(0.466973\pi\) | |||||||
\(984\) | 1.57459 | + | 12.6335i | 0.0501960 | + | 0.402742i | ||||
\(985\) | 0.664787 | − | 0.383815i | 0.0211819 | − | 0.0122294i | ||||
\(986\) | −15.0653 | − | 15.0653i | −0.479776 | − | 0.479776i | ||||
\(987\) | −3.43813 | + | 26.1243i | −0.109437 | + | 0.831545i | ||||
\(988\) | 21.7511 | − | 20.6065i | 0.691994 | − | 0.655582i | ||||
\(989\) | −10.4645 | + | 6.04166i | −0.332751 | + | 0.192114i | ||||
\(990\) | −5.77987 | − | 0.0798074i | −0.183696 | − | 0.00253645i | ||||
\(991\) | 2.30625 | − | 3.99454i | 0.0732605 | − | 0.126891i | −0.827068 | − | 0.562102i | \(-0.809993\pi\) |
0.900328 | + | 0.435211i | \(0.143326\pi\) | |||||||
\(992\) | 2.74305 | + | 4.75110i | 0.0870919 | + | 0.150848i | ||||
\(993\) | −5.10049 | − | 0.707347i | −0.161859 | − | 0.0224470i | ||||
\(994\) | −16.6897 | − | 28.4490i | −0.529364 | − | 0.902346i | ||||
\(995\) | 1.18168 | + | 1.18168i | 0.0374616 | + | 0.0374616i | ||||
\(996\) | −8.85379 | − | 21.7994i | −0.280543 | − | 0.690740i | ||||
\(997\) | −23.8097 | + | 41.2397i | −0.754062 | + | 1.30607i | 0.191777 | + | 0.981439i | \(0.438575\pi\) |
−0.945839 | + | 0.324635i | \(0.894758\pi\) | |||||||
\(998\) | 19.0278 | − | 32.9571i | 0.602313 | − | 1.04324i | ||||
\(999\) | 2.23287 | + | 20.1819i | 0.0706449 | + | 0.638526i |
(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 | 546.2.bv.a.515.9 | yes | 144 | |
3.2 | odd | 2 | inner | 546.2.bv.a.515.33 | yes | 144 | |
7.2 | even | 3 | inner | 546.2.bv.a.359.33 | yes | 144 | |
13.5 | odd | 4 | inner | 546.2.bv.a.473.9 | yes | 144 | |
21.2 | odd | 6 | inner | 546.2.bv.a.359.9 | yes | 144 | |
39.5 | even | 4 | inner | 546.2.bv.a.473.33 | yes | 144 | |
91.44 | odd | 12 | inner | 546.2.bv.a.317.33 | yes | 144 | |
273.44 | even | 12 | inner | 546.2.bv.a.317.9 | ✓ | 144 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
546.2.bv.a.317.9 | ✓ | 144 | 273.44 | even | 12 | inner | |
546.2.bv.a.317.33 | yes | 144 | 91.44 | odd | 12 | inner | |
546.2.bv.a.359.9 | yes | 144 | 21.2 | odd | 6 | inner | |
546.2.bv.a.359.33 | yes | 144 | 7.2 | even | 3 | inner | |
546.2.bv.a.473.9 | yes | 144 | 13.5 | odd | 4 | inner | |
546.2.bv.a.473.33 | yes | 144 | 39.5 | even | 4 | inner | |
546.2.bv.a.515.9 | yes | 144 | 1.1 | even | 1 | trivial | |
546.2.bv.a.515.33 | yes | 144 | 3.2 | odd | 2 | inner |