Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [189,2,Mod(4,189)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(189, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([2, 12]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("189.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 189 = 3^{3} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 189.u (of order \(9\), degree \(6\), 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: | \(1.50917259820\) |
Analytic rank: | \(0\) |
Dimension: | \(132\) |
Relative dimension: | \(22\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 4.15 | ||
Character | \(\chi\) | \(=\) | 189.4 |
Dual form | 189.2.u.a.142.15 |
$q$-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 \(\left(\mathbb{Z}/189\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(136\) |
\(\chi(n)\) | \(e\left(\frac{1}{9}\right)\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.101938 | + | 0.578121i | 0.0720812 | + | 0.408793i | 0.999404 | + | 0.0345296i | \(0.0109933\pi\) |
−0.927322 | + | 0.374263i | \(0.877896\pi\) | |||||||
\(3\) | −0.121715 | + | 1.72777i | −0.0702724 | + | 0.997528i | ||||
\(4\) | 1.55555 | − | 0.566175i | 0.777777 | − | 0.283088i | ||||
\(5\) | −3.06658 | + | 1.11614i | −1.37142 | + | 0.499155i | −0.919565 | − | 0.392939i | \(-0.871459\pi\) |
−0.451851 | + | 0.892093i | \(0.649236\pi\) | |||||||
\(6\) | −1.01127 | + | 0.105760i | −0.412848 | + | 0.0431762i | ||||
\(7\) | −1.48906 | + | 2.18694i | −0.562810 | + | 0.826586i | ||||
\(8\) | 1.07293 | + | 1.85836i | 0.379337 | + | 0.657031i | ||||
\(9\) | −2.97037 | − | 0.420592i | −0.990124 | − | 0.140197i | ||||
\(10\) | −0.957867 | − | 1.65908i | −0.302904 | − | 0.524646i | ||||
\(11\) | −0.0905002 | − | 0.0329394i | −0.0272868 | − | 0.00993159i | 0.328341 | − | 0.944559i | \(-0.393511\pi\) |
−0.355628 | + | 0.934628i | \(0.615733\pi\) | |||||||
\(12\) | 0.788885 | + | 2.75655i | 0.227732 | + | 0.795747i | ||||
\(13\) | 5.41990 | − | 1.97268i | 1.50321 | − | 0.547123i | 0.546320 | − | 0.837576i | \(-0.316028\pi\) |
0.956889 | + | 0.290453i | \(0.0938060\pi\) | |||||||
\(14\) | −1.41611 | − | 0.637921i | −0.378471 | − | 0.170491i | ||||
\(15\) | −1.55519 | − | 5.43419i | −0.401548 | − | 1.40310i | ||||
\(16\) | 1.57121 | − | 1.31840i | 0.392803 | − | 0.329601i | ||||
\(17\) | 1.82060 | + | 3.15337i | 0.441561 | + | 0.764805i | 0.997806 | − | 0.0662131i | \(-0.0210917\pi\) |
−0.556245 | + | 0.831018i | \(0.687758\pi\) | |||||||
\(18\) | −0.0596416 | − | 1.76011i | −0.0140577 | − | 0.414861i | ||||
\(19\) | −2.60995 | + | 4.52056i | −0.598763 | + | 1.03709i | 0.394241 | + | 0.919007i | \(0.371007\pi\) |
−0.993004 | + | 0.118081i | \(0.962326\pi\) | |||||||
\(20\) | −4.13830 | + | 3.47244i | −0.925351 | + | 0.776462i | ||||
\(21\) | −3.59729 | − | 2.83893i | −0.784993 | − | 0.619505i | ||||
\(22\) | 0.00981750 | − | 0.0556778i | 0.00209310 | − | 0.0118705i | ||||
\(23\) | 0.920962 | − | 5.22304i | 0.192034 | − | 1.08908i | −0.724546 | − | 0.689227i | \(-0.757950\pi\) |
0.916580 | − | 0.399852i | \(-0.130938\pi\) | |||||||
\(24\) | −3.34141 | + | 1.62758i | −0.682063 | + | 0.332228i | ||||
\(25\) | 4.32791 | − | 3.63155i | 0.865582 | − | 0.726310i | ||||
\(26\) | 1.69294 | + | 2.93226i | 0.332013 | + | 0.575064i | ||||
\(27\) | 1.08822 | − | 5.08092i | 0.209429 | − | 0.977824i | ||||
\(28\) | −1.07811 | + | 4.24497i | −0.203744 | + | 0.802224i | ||||
\(29\) | 2.72930 | + | 0.993386i | 0.506819 | + | 0.184467i | 0.582759 | − | 0.812645i | \(-0.301973\pi\) |
−0.0759394 | + | 0.997112i | \(0.524196\pi\) | |||||||
\(30\) | 2.98309 | − | 1.45304i | 0.544634 | − | 0.265287i | ||||
\(31\) | −1.19084 | + | 0.433429i | −0.213881 | + | 0.0778462i | −0.446738 | − | 0.894665i | \(-0.647415\pi\) |
0.232858 | + | 0.972511i | \(0.425192\pi\) | |||||||
\(32\) | 4.21000 | + | 3.53261i | 0.744230 | + | 0.624483i | ||||
\(33\) | 0.0679269 | − | 0.152354i | 0.0118246 | − | 0.0265215i | ||||
\(34\) | −1.63744 | + | 1.37398i | −0.280819 | + | 0.235635i | ||||
\(35\) | 2.12537 | − | 8.36843i | 0.359253 | − | 1.41452i | ||||
\(36\) | −4.85870 | + | 1.02750i | −0.809783 | + | 0.171249i | ||||
\(37\) | 6.83261 | 1.12327 | 0.561637 | − | 0.827384i | \(-0.310172\pi\) | ||||
0.561637 | + | 0.827384i | \(0.310172\pi\) | |||||||
\(38\) | −2.87948 | − | 1.04805i | −0.467114 | − | 0.170015i | ||||
\(39\) | 2.74865 | + | 9.60444i | 0.440137 | + | 1.53794i | ||||
\(40\) | −5.36442 | − | 4.50128i | −0.848189 | − | 0.711715i | ||||
\(41\) | 1.79913 | − | 0.654829i | 0.280977 | − | 0.102267i | −0.197688 | − | 0.980265i | \(-0.563343\pi\) |
0.478665 | + | 0.877998i | \(0.341121\pi\) | |||||||
\(42\) | 1.27454 | − | 2.36906i | 0.196666 | − | 0.365554i | ||||
\(43\) | −0.580627 | − | 3.29290i | −0.0885448 | − | 0.502163i | −0.996535 | − | 0.0831717i | \(-0.973495\pi\) |
0.907990 | − | 0.418991i | \(-0.137616\pi\) | |||||||
\(44\) | −0.159427 | −0.0240346 | ||||||||
\(45\) | 9.57832 | − | 2.02558i | 1.42785 | − | 0.301956i | ||||
\(46\) | 3.11343 | 0.459050 | ||||||||
\(47\) | 5.57827 | + | 2.03032i | 0.813674 | + | 0.296153i | 0.715141 | − | 0.698981i | \(-0.246363\pi\) |
0.0985334 | + | 0.995134i | \(0.468585\pi\) | |||||||
\(48\) | 2.08665 | + | 2.87516i | 0.301183 | + | 0.414994i | ||||
\(49\) | −2.56543 | − | 6.51296i | −0.366490 | − | 0.930422i | ||||
\(50\) | 2.54065 | + | 2.13186i | 0.359303 | + | 0.301491i | ||||
\(51\) | −5.66989 | + | 2.76176i | −0.793944 | + | 0.386724i | ||||
\(52\) | 7.31406 | − | 6.13722i | 1.01428 | − | 0.851080i | ||||
\(53\) | 1.47412 | − | 2.55324i | 0.202485 | − | 0.350715i | −0.746843 | − | 0.665000i | \(-0.768431\pi\) |
0.949329 | + | 0.314285i | \(0.101765\pi\) | |||||||
\(54\) | 3.04832 | + | 0.111185i | 0.414823 | + | 0.0151304i | ||||
\(55\) | 0.314291 | 0.0423790 | ||||||||
\(56\) | −5.66178 | − | 0.420779i | −0.756587 | − | 0.0562289i | ||||
\(57\) | −7.49281 | − | 5.05961i | −0.992447 | − | 0.670161i | ||||
\(58\) | −0.296076 | + | 1.67913i | −0.0388767 | + | 0.220481i | ||||
\(59\) | −6.58528 | − | 5.52571i | −0.857331 | − | 0.719386i | 0.104060 | − | 0.994571i | \(-0.466816\pi\) |
−0.961391 | + | 0.275185i | \(0.911261\pi\) | |||||||
\(60\) | −5.49588 | − | 7.57267i | −0.709516 | − | 0.977627i | ||||
\(61\) | 0.557272 | + | 0.202830i | 0.0713513 | + | 0.0259698i | 0.377449 | − | 0.926030i | \(-0.376801\pi\) |
−0.306098 | + | 0.952000i | \(0.599023\pi\) | |||||||
\(62\) | −0.371966 | − | 0.644265i | −0.0472398 | − | 0.0818217i | ||||
\(63\) | 5.34286 | − | 5.86974i | 0.673137 | − | 0.739518i | ||||
\(64\) | 0.437956 | − | 0.758562i | 0.0547445 | − | 0.0948202i | ||||
\(65\) | −14.4188 | + | 12.0988i | −1.78843 | + | 1.50067i | ||||
\(66\) | 0.0950034 | + | 0.0237392i | 0.0116941 | + | 0.00292209i | ||||
\(67\) | 0.948490 | − | 5.37916i | 0.115877 | − | 0.657168i | −0.870436 | − | 0.492282i | \(-0.836163\pi\) |
0.986312 | − | 0.164887i | \(-0.0527259\pi\) | |||||||
\(68\) | 4.61740 | + | 3.87446i | 0.559942 | + | 0.469847i | ||||
\(69\) | 8.91211 | + | 2.22693i | 1.07289 | + | 0.268091i | ||||
\(70\) | 5.05462 | + | 0.375655i | 0.604142 | + | 0.0448994i | ||||
\(71\) | −6.46106 | + | 11.1909i | −0.766787 | + | 1.32811i | 0.172509 | + | 0.985008i | \(0.444813\pi\) |
−0.939296 | + | 0.343107i | \(0.888521\pi\) | |||||||
\(72\) | −2.40538 | − | 5.97129i | −0.283477 | − | 0.703724i | ||||
\(73\) | −12.5093 | −1.46410 | −0.732050 | − | 0.681250i | \(-0.761436\pi\) | ||||
−0.732050 | + | 0.681250i | \(0.761436\pi\) | |||||||
\(74\) | 0.696504 | + | 3.95007i | 0.0809670 | + | 0.459187i | ||||
\(75\) | 5.74771 | + | 7.91965i | 0.663688 | + | 0.914482i | ||||
\(76\) | −1.50048 | + | 8.50966i | −0.172117 | + | 0.976125i | ||||
\(77\) | 0.206796 | − | 0.148870i | 0.0235666 | − | 0.0169653i | ||||
\(78\) | −5.27233 | + | 2.56811i | −0.596974 | + | 0.290782i | ||||
\(79\) | 2.23377 | + | 12.6684i | 0.251319 | + | 1.42530i | 0.805347 | + | 0.592803i | \(0.201979\pi\) |
−0.554028 | + | 0.832498i | \(0.686910\pi\) | |||||||
\(80\) | −3.34672 | + | 5.79668i | −0.374174 | + | 0.648089i | ||||
\(81\) | 8.64621 | + | 2.49863i | 0.960689 | + | 0.277625i | ||||
\(82\) | 0.561970 | + | 0.973361i | 0.0620592 | + | 0.107490i | ||||
\(83\) | −1.05332 | − | 0.383377i | −0.115617 | − | 0.0420811i | 0.283564 | − | 0.958953i | \(-0.408483\pi\) |
−0.399181 | + | 0.916872i | \(0.630705\pi\) | |||||||
\(84\) | −7.20310 | − | 2.37941i | −0.785923 | − | 0.259615i | ||||
\(85\) | −9.10264 | − | 7.63802i | −0.987319 | − | 0.828459i | ||||
\(86\) | 1.84451 | − | 0.671345i | 0.198898 | − | 0.0723930i | ||||
\(87\) | −2.04854 | + | 4.59470i | −0.219626 | + | 0.492603i | ||||
\(88\) | −0.0358867 | − | 0.203524i | −0.00382554 | − | 0.0216957i | ||||
\(89\) | 8.03254 | − | 13.9128i | 0.851448 | − | 1.47475i | −0.0284540 | − | 0.999595i | \(-0.509058\pi\) |
0.879902 | − | 0.475156i | \(-0.157608\pi\) | |||||||
\(90\) | 2.14743 | + | 5.33094i | 0.226359 | + | 0.561930i | ||||
\(91\) | −3.75639 | + | 14.7904i | −0.393777 | + | 1.55046i | ||||
\(92\) | −1.52455 | − | 8.64614i | −0.158945 | − | 0.901422i | ||||
\(93\) | −0.603923 | − | 2.11025i | −0.0626239 | − | 0.218822i | ||||
\(94\) | −0.605133 | + | 3.43188i | −0.0624147 | + | 0.353971i | ||||
\(95\) | 2.95801 | − | 16.7757i | 0.303486 | − | 1.72115i | ||||
\(96\) | −6.61596 | + | 6.84394i | −0.675238 | + | 0.698506i | ||||
\(97\) | −0.629031 | − | 3.56741i | −0.0638684 | − | 0.362216i | −0.999946 | − | 0.0104214i | \(-0.996683\pi\) |
0.936077 | − | 0.351794i | \(-0.114428\pi\) | |||||||
\(98\) | 3.50376 | − | 2.14705i | 0.353933 | − | 0.216884i | ||||
\(99\) | 0.254965 | + | 0.135906i | 0.0256250 | + | 0.0136590i | ||||
\(100\) | 4.67621 | − | 8.09942i | 0.467621 | − | 0.809942i | ||||
\(101\) | −2.08003 | − | 11.7964i | −0.206971 | − | 1.17379i | −0.894308 | − | 0.447451i | \(-0.852332\pi\) |
0.687337 | − | 0.726338i | \(-0.258779\pi\) | |||||||
\(102\) | −2.17461 | − | 2.99635i | −0.215319 | − | 0.296683i | ||||
\(103\) | −10.9845 | + | 3.99804i | −1.08234 | + | 0.393938i | −0.820777 | − | 0.571249i | \(-0.806459\pi\) |
−0.261560 | + | 0.965187i | \(0.584237\pi\) | |||||||
\(104\) | 9.48112 | + | 7.95560i | 0.929700 | + | 0.780111i | ||||
\(105\) | 14.2000 | + | 4.69071i | 1.38578 | + | 0.457766i | ||||
\(106\) | 1.62635 | + | 0.591943i | 0.157965 | + | 0.0574946i | ||||
\(107\) | 6.42815 | + | 11.1339i | 0.621433 | + | 1.07635i | 0.989219 | + | 0.146443i | \(0.0467826\pi\) |
−0.367786 | + | 0.929910i | \(0.619884\pi\) | |||||||
\(108\) | −1.18390 | − | 8.51977i | −0.113921 | − | 0.819815i | ||||
\(109\) | −5.34505 | + | 9.25790i | −0.511963 | + | 0.886746i | 0.487941 | + | 0.872877i | \(0.337748\pi\) |
−0.999904 | + | 0.0138693i | \(0.995585\pi\) | |||||||
\(110\) | 0.0320383 | + | 0.181698i | 0.00305473 | + | 0.0173242i | ||||
\(111\) | −0.831633 | + | 11.8052i | −0.0789351 | + | 1.12050i | ||||
\(112\) | 0.543649 | + | 5.39932i | 0.0513700 | + | 0.510188i | ||||
\(113\) | 0.507156 | − | 2.87623i | 0.0477093 | − | 0.270573i | −0.951616 | − | 0.307288i | \(-0.900578\pi\) |
0.999326 | + | 0.0367155i | \(0.0116895\pi\) | |||||||
\(114\) | 2.16126 | − | 4.84752i | 0.202420 | − | 0.454012i | ||||
\(115\) | 3.00546 | + | 17.0448i | 0.280260 | + | 1.58943i | ||||
\(116\) | 4.80801 | 0.446412 | ||||||||
\(117\) | −16.9288 | + | 3.58003i | −1.56507 | + | 0.330974i | ||||
\(118\) | 2.52323 | − | 4.37037i | 0.232282 | − | 0.402325i | ||||
\(119\) | −9.60722 | − | 0.714000i | −0.880692 | − | 0.0654523i | ||||
\(120\) | 8.43010 | − | 8.72060i | 0.769560 | − | 0.796078i | ||||
\(121\) | −8.41938 | − | 7.06470i | −0.765399 | − | 0.642246i | ||||
\(122\) | −0.0604531 | + | 0.342846i | −0.00547316 | + | 0.0310399i | ||||
\(123\) | 0.912412 | + | 3.18818i | 0.0822694 | + | 0.287469i | ||||
\(124\) | −1.60701 | + | 1.34844i | −0.144314 | + | 0.121094i | ||||
\(125\) | −1.06009 | + | 1.83613i | −0.0948175 | + | 0.164229i | ||||
\(126\) | 3.93806 | + | 2.49046i | 0.350830 | + | 0.221868i | ||||
\(127\) | 2.09216 | + | 3.62373i | 0.185650 | + | 0.321554i | 0.943795 | − | 0.330531i | \(-0.107228\pi\) |
−0.758146 | + | 0.652085i | \(0.773894\pi\) | |||||||
\(128\) | 10.8118 | + | 3.93519i | 0.955641 | + | 0.347825i | ||||
\(129\) | 5.76004 | − | 0.602393i | 0.507144 | − | 0.0530378i | ||||
\(130\) | −8.46437 | − | 7.10245i | −0.742374 | − | 0.622926i | ||||
\(131\) | 2.46835 | − | 13.9987i | 0.215661 | − | 1.22307i | −0.664096 | − | 0.747648i | \(-0.731183\pi\) |
0.879756 | − | 0.475425i | \(-0.157706\pi\) | |||||||
\(132\) | 0.0194047 | − | 0.275454i | 0.00168897 | − | 0.0239752i | ||||
\(133\) | −5.99984 | − | 12.4392i | −0.520253 | − | 1.07861i | ||||
\(134\) | 3.20649 | 0.276998 | ||||||||
\(135\) | 2.33391 | + | 16.7957i | 0.200871 | + | 1.44554i | ||||
\(136\) | −3.90674 | + | 6.76668i | −0.335000 | + | 0.580238i | ||||
\(137\) | −3.73856 | + | 3.13703i | −0.319407 | + | 0.268014i | −0.788367 | − | 0.615205i | \(-0.789073\pi\) |
0.468960 | + | 0.883219i | \(0.344629\pi\) | |||||||
\(138\) | −0.378952 | + | 5.37928i | −0.0322585 | + | 0.457915i | ||||
\(139\) | −6.80377 | − | 5.70904i | −0.577088 | − | 0.484235i | 0.306901 | − | 0.951741i | \(-0.400708\pi\) |
−0.883989 | + | 0.467507i | \(0.845152\pi\) | |||||||
\(140\) | −1.43188 | − | 14.2209i | −0.121016 | − | 1.20188i | ||||
\(141\) | −4.18689 | + | 9.39084i | −0.352600 | + | 0.790851i | ||||
\(142\) | −7.12831 | − | 2.59449i | −0.598195 | − | 0.217725i | ||||
\(143\) | −0.555481 | −0.0464516 | ||||||||
\(144\) | −5.22159 | + | 3.25531i | −0.435132 | + | 0.271276i | ||||
\(145\) | −9.47839 | −0.787137 | ||||||||
\(146\) | −1.27517 | − | 7.23187i | −0.105534 | − | 0.598514i | ||||
\(147\) | 11.5651 | − | 3.63974i | 0.953876 | − | 0.300201i | ||||
\(148\) | 10.6285 | − | 3.86845i | 0.873656 | − | 0.317985i | ||||
\(149\) | −16.1062 | − | 13.5147i | −1.31947 | − | 1.10717i | −0.986417 | − | 0.164258i | \(-0.947477\pi\) |
−0.333052 | − | 0.942909i | \(-0.608078\pi\) | |||||||
\(150\) | −3.99260 | + | 4.13018i | −0.325994 | + | 0.337228i | ||||
\(151\) | 10.2784 | + | 3.74103i | 0.836445 | + | 0.304441i | 0.724501 | − | 0.689274i | \(-0.242070\pi\) |
0.111944 | + | 0.993715i | \(0.464292\pi\) | |||||||
\(152\) | −11.2011 | −0.908531 | ||||||||
\(153\) | −4.08158 | − | 10.1324i | −0.329976 | − | 0.819157i | ||||
\(154\) | 0.107145 | + | 0.104378i | 0.00863401 | + | 0.00841099i | ||||
\(155\) | 3.16803 | − | 2.65829i | 0.254462 | − | 0.213519i | ||||
\(156\) | 9.71347 | + | 13.3840i | 0.777700 | + | 1.07158i | ||||
\(157\) | 15.9298 | + | 13.3667i | 1.27134 | + | 1.06678i | 0.994377 | + | 0.105895i | \(0.0337708\pi\) |
0.276958 | + | 0.960882i | \(0.410674\pi\) | |||||||
\(158\) | −7.09613 | + | 2.58278i | −0.564538 | + | 0.205475i | ||||
\(159\) | 4.23199 | + | 2.85770i | 0.335619 | + | 0.226630i | ||||
\(160\) | −16.8532 | − | 6.13406i | −1.33236 | − | 0.484940i | ||||
\(161\) | 10.0511 | + | 9.79148i | 0.792139 | + | 0.771677i | ||||
\(162\) | −0.563129 | + | 5.25325i | −0.0442436 | + | 0.412735i | ||||
\(163\) | −2.63629 | − | 4.56618i | −0.206490 | − | 0.357651i | 0.744117 | − | 0.668050i | \(-0.232871\pi\) |
−0.950606 | + | 0.310399i | \(0.899537\pi\) | |||||||
\(164\) | 2.42789 | − | 2.03724i | 0.189587 | − | 0.159082i | ||||
\(165\) | −0.0382540 | + | 0.543022i | −0.00297807 | + | 0.0422742i | ||||
\(166\) | 0.114265 | − | 0.648026i | 0.00886865 | − | 0.0502966i | ||||
\(167\) | −2.10338 | + | 11.9289i | −0.162764 | + | 0.923083i | 0.788575 | + | 0.614938i | \(0.210819\pi\) |
−0.951340 | + | 0.308144i | \(0.900292\pi\) | |||||||
\(168\) | 1.41613 | − | 9.73103i | 0.109257 | − | 0.750766i | ||||
\(169\) | 15.5252 | − | 13.0272i | 1.19425 | − | 1.00209i | ||||
\(170\) | 3.48779 | − | 6.04103i | 0.267501 | − | 0.463326i | ||||
\(171\) | 9.65382 | − | 12.3300i | 0.738246 | − | 0.942900i | ||||
\(172\) | −2.76756 | − | 4.79355i | −0.211024 | − | 0.365504i | ||||
\(173\) | 18.3911 | − | 15.4320i | 1.39825 | − | 1.17327i | 0.436385 | − | 0.899760i | \(-0.356259\pi\) |
0.961868 | − | 0.273514i | \(-0.0881859\pi\) | |||||||
\(174\) | −2.86511 | − | 0.715927i | −0.217204 | − | 0.0542743i | ||||
\(175\) | 1.49748 | + | 14.8725i | 0.113199 | + | 1.12425i | ||||
\(176\) | −0.185622 | + | 0.0675610i | −0.0139918 | + | 0.00509260i | ||||
\(177\) | 10.3487 | − | 10.7053i | 0.777854 | − | 0.804658i | ||||
\(178\) | 8.86208 | + | 3.22553i | 0.664241 | + | 0.241764i | ||||
\(179\) | −6.39598 | − | 11.0782i | −0.478058 | − | 0.828021i | 0.521625 | − | 0.853175i | \(-0.325326\pi\) |
−0.999684 | + | 0.0251534i | \(0.991993\pi\) | |||||||
\(180\) | 13.7528 | − | 8.57391i | 1.02507 | − | 0.639061i | ||||
\(181\) | 1.35421 | + | 2.34556i | 0.100658 | + | 0.174344i | 0.911956 | − | 0.410288i | \(-0.134572\pi\) |
−0.811298 | + | 0.584633i | \(0.801239\pi\) | |||||||
\(182\) | −8.93357 | − | 0.663936i | −0.662201 | − | 0.0492142i | ||||
\(183\) | −0.418272 | + | 0.938149i | −0.0309196 | + | 0.0693500i | ||||
\(184\) | 10.6944 | − | 3.89245i | 0.788404 | − | 0.286956i | ||||
\(185\) | −20.9527 | + | 7.62618i | −1.54048 | + | 0.560688i | ||||
\(186\) | 1.15841 | − | 0.564255i | 0.0849391 | − | 0.0413732i | ||||
\(187\) | −0.0608946 | − | 0.345350i | −0.00445305 | − | 0.0252545i | ||||
\(188\) | 9.82681 | 0.716694 | ||||||||
\(189\) | 9.49125 | + | 9.94566i | 0.690387 | + | 0.723440i | ||||
\(190\) | 9.99993 | 0.725471 | ||||||||
\(191\) | 1.32139 | + | 7.49397i | 0.0956123 | + | 0.542244i | 0.994558 | + | 0.104184i | \(0.0332232\pi\) |
−0.898946 | + | 0.438060i | \(0.855666\pi\) | |||||||
\(192\) | 1.25731 | + | 0.849015i | 0.0907388 | + | 0.0612724i | ||||
\(193\) | 12.7550 | − | 4.64244i | 0.918124 | − | 0.334170i | 0.160632 | − | 0.987014i | \(-0.448647\pi\) |
0.757492 | + | 0.652844i | \(0.226424\pi\) | |||||||
\(194\) | 1.99827 | − | 0.727312i | 0.143468 | − | 0.0522179i | ||||
\(195\) | −19.1489 | − | 26.3849i | −1.37128 | − | 1.88946i | ||||
\(196\) | −7.67813 | − | 8.67877i | −0.548438 | − | 0.619912i | ||||
\(197\) | 0.798142 | + | 1.38242i | 0.0568653 | + | 0.0984936i | 0.893057 | − | 0.449944i | \(-0.148556\pi\) |
−0.836191 | + | 0.548438i | \(0.815223\pi\) | |||||||
\(198\) | −0.0525792 | + | 0.161255i | −0.00373664 | + | 0.0114599i | ||||
\(199\) | −0.488401 | − | 0.845935i | −0.0346218 | − | 0.0599668i | 0.848195 | − | 0.529684i | \(-0.177689\pi\) |
−0.882817 | + | 0.469717i | \(0.844356\pi\) | |||||||
\(200\) | 11.3923 | + | 4.14645i | 0.805555 | + | 0.293198i | ||||
\(201\) | 9.17849 | + | 2.29350i | 0.647401 | + | 0.161771i | ||||
\(202\) | 6.60773 | − | 2.40502i | 0.464918 | − | 0.169216i | ||||
\(203\) | −6.23656 | + | 4.48962i | −0.437721 | + | 0.315110i | ||||
\(204\) | −7.25618 | + | 7.50622i | −0.508034 | + | 0.525541i | ||||
\(205\) | −4.78629 | + | 4.01617i | −0.334289 | + | 0.280502i | ||||
\(206\) | −3.43109 | − | 5.94282i | −0.239055 | − | 0.414056i | ||||
\(207\) | −4.93237 | + | 15.1270i | −0.342823 | + | 1.05140i | ||||
\(208\) | 5.91502 | − | 10.2451i | 0.410133 | − | 0.710370i | ||||
\(209\) | 0.385105 | − | 0.323141i | 0.0266383 | − | 0.0223522i | ||||
\(210\) | −1.26427 | + | 8.68749i | −0.0872429 | + | 0.599494i | ||||
\(211\) | 0.797672 | − | 4.52382i | 0.0549140 | − | 0.311433i | −0.944962 | − | 0.327180i | \(-0.893902\pi\) |
0.999876 | + | 0.0157472i | \(0.00501271\pi\) | |||||||
\(212\) | 0.847483 | − | 4.80631i | 0.0582053 | − | 0.330099i | ||||
\(213\) | −18.5489 | − | 12.5253i | −1.27095 | − | 0.858221i | ||||
\(214\) | −5.78146 | + | 4.85122i | −0.395212 | + | 0.331622i | ||||
\(215\) | 5.45589 | + | 9.44988i | 0.372089 | + | 0.644476i | ||||
\(216\) | 10.6098 | − | 3.42914i | 0.721905 | − | 0.233323i | ||||
\(217\) | 0.825338 | − | 3.24969i | 0.0560276 | − | 0.220603i | ||||
\(218\) | −5.89705 | − | 2.14635i | −0.399398 | − | 0.145369i | ||||
\(219\) | 1.52257 | − | 21.6131i | 0.102886 | − | 1.46048i | ||||
\(220\) | 0.488897 | − | 0.177944i | 0.0329614 | − | 0.0119970i | ||||
\(221\) | 16.0881 | + | 13.4995i | 1.08220 | + | 0.908074i | ||||
\(222\) | −6.90959 | + | 0.722614i | −0.463741 | + | 0.0484987i | ||||
\(223\) | 11.6447 | − | 9.77106i | 0.779787 | − | 0.654319i | −0.163408 | − | 0.986559i | \(-0.552249\pi\) |
0.943195 | + | 0.332240i | \(0.107804\pi\) | |||||||
\(224\) | −13.9945 | + | 3.94677i | −0.935049 | + | 0.263705i | ||||
\(225\) | −14.3829 | + | 8.96676i | −0.958860 | + | 0.597784i | ||||
\(226\) | 1.71450 | 0.114047 | ||||||||
\(227\) | 20.5483 | + | 7.47896i | 1.36384 | + | 0.496396i | 0.917239 | − | 0.398338i | \(-0.130413\pi\) |
0.446599 | + | 0.894734i | \(0.352635\pi\) | |||||||
\(228\) | −14.5201 | − | 3.62824i | −0.961617 | − | 0.240286i | ||||
\(229\) | −0.228822 | − | 0.192005i | −0.0151210 | − | 0.0126880i | 0.635196 | − | 0.772351i | \(-0.280919\pi\) |
−0.650317 | + | 0.759663i | \(0.725364\pi\) | |||||||
\(230\) | −9.54757 | + | 3.47503i | −0.629548 | + | 0.229137i | ||||
\(231\) | 0.232043 | + | 0.375416i | 0.0152673 | + | 0.0247006i | ||||
\(232\) | 1.08227 | + | 6.13787i | 0.0710547 | + | 0.402971i | ||||
\(233\) | −9.08213 | −0.594990 | −0.297495 | − | 0.954723i | \(-0.596151\pi\) | ||||
−0.297495 | + | 0.954723i | \(0.596151\pi\) | |||||||
\(234\) | −3.79538 | − | 9.42195i | −0.248112 | − | 0.615932i | ||||
\(235\) | −19.3723 | −1.26371 | ||||||||
\(236\) | −13.3723 | − | 4.86711i | −0.870461 | − | 0.316822i | ||||
\(237\) | −22.1599 | + | 2.31751i | −1.43944 | + | 0.150538i | ||||
\(238\) | −0.566565 | − | 5.62691i | −0.0367249 | − | 0.364739i | ||||
\(239\) | 9.43419 | + | 7.91623i | 0.610247 | + | 0.512058i | 0.894721 | − | 0.446626i | \(-0.147374\pi\) |
−0.284474 | + | 0.958684i | \(0.591819\pi\) | |||||||
\(240\) | −9.60798 | − | 6.48790i | −0.620193 | − | 0.418792i | ||||
\(241\) | −16.5906 | + | 13.9212i | −1.06869 | + | 0.896740i | −0.994933 | − | 0.100536i | \(-0.967944\pi\) |
−0.0737601 | + | 0.997276i | \(0.523500\pi\) | |||||||
\(242\) | 3.22599 | − | 5.58758i | 0.207375 | − | 0.359183i | ||||
\(243\) | −5.36943 | + | 14.6345i | −0.344449 | + | 0.938805i | ||||
\(244\) | 0.981703 | 0.0628471 | ||||||||
\(245\) | 15.1365 | + | 17.1091i | 0.967034 | + | 1.09306i | ||||
\(246\) | −1.75014 | + | 0.852482i | −0.111585 | + | 0.0543523i | ||||
\(247\) | −5.22802 | + | 29.6496i | −0.332651 | + | 1.88656i | ||||
\(248\) | −2.08315 | − | 1.74797i | −0.132280 | − | 0.110996i | ||||
\(249\) | 0.790592 | − | 1.77323i | 0.0501017 | − | 0.112374i | ||||
\(250\) | −1.16957 | − | 0.425689i | −0.0739701 | − | 0.0269229i | ||||
\(251\) | −11.0766 | − | 19.1853i | −0.699152 | − | 1.21097i | −0.968761 | − | 0.247997i | \(-0.920228\pi\) |
0.269609 | − | 0.962970i | \(-0.413105\pi\) | |||||||
\(252\) | 4.98780 | − | 12.1557i | 0.314202 | − | 0.765736i | ||||
\(253\) | −0.255391 | + | 0.442350i | −0.0160563 | + | 0.0278103i | ||||
\(254\) | −1.88168 | + | 1.57892i | −0.118067 | + | 0.0990703i | ||||
\(255\) | 14.3047 | − | 14.7976i | 0.895793 | − | 0.926661i | ||||
\(256\) | −0.868673 | + | 4.92649i | −0.0542921 | + | 0.307906i | ||||
\(257\) | 13.1123 | + | 11.0025i | 0.817920 | + | 0.686316i | 0.952484 | − | 0.304588i | \(-0.0985189\pi\) |
−0.134564 | + | 0.990905i | \(0.542963\pi\) | |||||||
\(258\) | 0.935425 | + | 3.26859i | 0.0582370 | + | 0.203494i | ||||
\(259\) | −10.1741 | + | 14.9425i | −0.632190 | + | 0.928483i | ||||
\(260\) | −15.5791 | + | 26.9838i | −0.966176 | + | 1.67347i | ||||
\(261\) | −7.68924 | − | 4.09865i | −0.475952 | − | 0.253700i | ||||
\(262\) | 8.34456 | 0.515528 | ||||||||
\(263\) | 1.76194 | + | 9.99245i | 0.108646 | + | 0.616161i | 0.989701 | + | 0.143148i | \(0.0457225\pi\) |
−0.881055 | + | 0.473013i | \(0.843166\pi\) | |||||||
\(264\) | 0.356010 | − | 0.0372320i | 0.0219109 | − | 0.00229147i | ||||
\(265\) | −1.67071 | + | 9.47505i | −0.102631 | + | 0.582048i | ||||
\(266\) | 6.57972 | − | 4.73666i | 0.403429 | − | 0.290423i | ||||
\(267\) | 23.0604 | + | 15.5718i | 1.41127 | + | 0.952977i | ||||
\(268\) | −1.57012 | − | 8.90457i | −0.0959101 | − | 0.543933i | ||||
\(269\) | 7.74828 | − | 13.4204i | 0.472421 | − | 0.818257i | −0.527081 | − | 0.849815i | \(-0.676714\pi\) |
0.999502 | + | 0.0315578i | \(0.0100468\pi\) | |||||||
\(270\) | −9.47201 | + | 3.06140i | −0.576448 | + | 0.186311i | ||||
\(271\) | −7.59076 | − | 13.1476i | −0.461106 | − | 0.798659i | 0.537911 | − | 0.843002i | \(-0.319214\pi\) |
−0.999016 | + | 0.0443433i | \(0.985880\pi\) | |||||||
\(272\) | 7.01796 | + | 2.55433i | 0.425527 | + | 0.154879i | ||||
\(273\) | −25.0972 | − | 8.29040i | −1.51895 | − | 0.501758i | ||||
\(274\) | −2.19468 | − | 1.84156i | −0.132586 | − | 0.111253i | ||||
\(275\) | −0.511298 | + | 0.186097i | −0.0308324 | + | 0.0112221i | ||||
\(276\) | 15.1241 | − | 1.58170i | 0.910363 | − | 0.0952071i | ||||
\(277\) | −2.59581 | − | 14.7216i | −0.155967 | − | 0.884533i | −0.957896 | − | 0.287114i | \(-0.907304\pi\) |
0.801929 | − | 0.597419i | \(-0.203807\pi\) | |||||||
\(278\) | 2.60695 | − | 4.51537i | 0.156354 | − | 0.270814i | ||||
\(279\) | 3.71953 | − | 0.786589i | 0.222682 | − | 0.0470919i | ||||
\(280\) | 17.8320 | − | 5.02901i | 1.06566 | − | 0.300541i | ||||
\(281\) | 2.25837 | + | 12.8079i | 0.134723 | + | 0.764054i | 0.975052 | + | 0.221977i | \(0.0712509\pi\) |
−0.840329 | + | 0.542077i | \(0.817638\pi\) | |||||||
\(282\) | −5.85584 | − | 1.46324i | −0.348710 | − | 0.0871348i | ||||
\(283\) | 3.32897 | − | 18.8795i | 0.197886 | − | 1.12227i | −0.710361 | − | 0.703837i | \(-0.751468\pi\) |
0.908248 | − | 0.418433i | \(-0.137420\pi\) | |||||||
\(284\) | −3.71453 | + | 21.0661i | −0.220417 | + | 1.25004i | ||||
\(285\) | 28.6246 | + | 7.15263i | 1.69557 | + | 0.423685i | ||||
\(286\) | −0.0566247 | − | 0.321135i | −0.00334829 | − | 0.0189891i | ||||
\(287\) | −1.24693 | + | 4.90967i | −0.0736039 | + | 0.289808i | ||||
\(288\) | −11.0195 | − | 12.2639i | −0.649329 | − | 0.722655i | ||||
\(289\) | 1.87083 | − | 3.24036i | 0.110049 | − | 0.190610i | ||||
\(290\) | −0.966211 | − | 5.47965i | −0.0567378 | − | 0.321776i | ||||
\(291\) | 6.24023 | − | 0.652612i | 0.365809 | − | 0.0382568i | ||||
\(292\) | −19.4589 | + | 7.08244i | −1.13874 | + | 0.414469i | ||||
\(293\) | −0.339856 | − | 0.285173i | −0.0198546 | − | 0.0166600i | 0.632806 | − | 0.774310i | \(-0.281903\pi\) |
−0.652661 | + | 0.757650i | \(0.726347\pi\) | |||||||
\(294\) | 3.28314 | + | 6.31501i | 0.191476 | + | 0.368299i | ||||
\(295\) | 26.3618 | + | 9.59490i | 1.53484 | + | 0.558637i | ||||
\(296\) | 7.33089 | + | 12.6975i | 0.426099 | + | 0.738026i | ||||
\(297\) | −0.265847 | + | 0.423979i | −0.0154260 | + | 0.0246017i | ||||
\(298\) | 6.17128 | − | 10.6890i | 0.357493 | − | 0.619196i | ||||
\(299\) | −5.31187 | − | 30.1251i | −0.307193 | − | 1.74218i | ||||
\(300\) | 13.4248 | + | 9.06523i | 0.775079 | + | 0.523381i | ||||
\(301\) | 8.06597 | + | 3.63351i | 0.464915 | + | 0.209432i | ||||
\(302\) | −1.11501 | + | 6.32351i | −0.0641614 | + | 0.363877i | ||||
\(303\) | 20.6347 | − | 2.15801i | 1.18543 | − | 0.123974i | ||||
\(304\) | 1.85914 | + | 10.5437i | 0.106629 | + | 0.604723i | ||||
\(305\) | −1.93531 | −0.110815 | ||||||||
\(306\) | 5.44169 | − | 3.39252i | 0.311081 | − | 0.193938i | ||||
\(307\) | 3.75570 | − | 6.50506i | 0.214349 | − | 0.371263i | −0.738722 | − | 0.674010i | \(-0.764570\pi\) |
0.953071 | + | 0.302747i | \(0.0979037\pi\) | |||||||
\(308\) | 0.237396 | − | 0.348658i | 0.0135269 | − | 0.0198666i | ||||
\(309\) | −5.57070 | − | 19.4653i | −0.316906 | − | 1.10734i | ||||
\(310\) | 1.85976 | + | 1.56052i | 0.105627 | + | 0.0886316i | ||||
\(311\) | −3.98271 | + | 22.5871i | −0.225839 | + | 1.28080i | 0.635236 | + | 0.772318i | \(0.280903\pi\) |
−0.861075 | + | 0.508478i | \(0.830208\pi\) | |||||||
\(312\) | −14.8994 | + | 15.4129i | −0.843514 | + | 0.872581i | ||||
\(313\) | 0.147493 | − | 0.123762i | 0.00833682 | − | 0.00699542i | −0.638610 | − | 0.769531i | \(-0.720490\pi\) |
0.646947 | + | 0.762535i | \(0.276046\pi\) | |||||||
\(314\) | −6.10370 | + | 10.5719i | −0.344452 | + | 0.596608i | ||||
\(315\) | −9.83282 | + | 23.9634i | −0.554017 | + | 1.35019i | ||||
\(316\) | 10.6473 | + | 18.4416i | 0.598955 | + | 1.03742i | ||||
\(317\) | −14.9829 | − | 5.45333i | −0.841523 | − | 0.306289i | −0.114944 | − | 0.993372i | \(-0.536669\pi\) |
−0.726579 | + | 0.687083i | \(0.758891\pi\) | |||||||
\(318\) | −1.22069 | + | 2.73791i | −0.0684531 | + | 0.153534i | ||||
\(319\) | −0.214281 | − | 0.179803i | −0.0119974 | − | 0.0100670i | ||||
\(320\) | −0.496362 | + | 2.81501i | −0.0277475 | + | 0.157364i | ||||
\(321\) | −20.0192 | + | 9.75120i | −1.11736 | + | 0.544259i | ||||
\(322\) | −4.63607 | + | 6.80888i | −0.258358 | + | 0.379444i | ||||
\(323\) | −19.0067 | −1.05756 | ||||||||
\(324\) | 14.8643 | − | 1.00852i | 0.825794 | − | 0.0560288i | ||||
\(325\) | 16.2930 | − | 28.2202i | 0.903770 | − | 1.56538i | ||||
\(326\) | 2.37107 | − | 1.98956i | 0.131321 | − | 0.110192i | ||||
\(327\) | −15.3449 | − | 10.3618i | −0.848577 | − | 0.573011i | ||||
\(328\) | 3.14724 | + | 2.64085i | 0.173777 | + | 0.145817i | ||||
\(329\) | −12.7465 | + | 9.17608i | −0.702740 | + | 0.505894i | ||||
\(330\) | −0.317832 | + | 0.0332393i | −0.0174961 | + | 0.00182976i | ||||
\(331\) | 3.20535 | + | 1.16665i | 0.176182 | + | 0.0641249i | 0.428605 | − | 0.903492i | \(-0.359005\pi\) |
−0.252423 | + | 0.967617i | \(0.581227\pi\) | |||||||
\(332\) | −1.85555 | −0.101837 | ||||||||
\(333\) | −20.2954 | − | 2.87374i | −1.11218 | − | 0.157480i | ||||
\(334\) | −7.11073 | −0.389082 | ||||||||
\(335\) | 3.09529 | + | 17.5543i | 0.169114 | + | 0.959092i | ||||
\(336\) | −9.39495 | + | 0.282119i | −0.512537 | + | 0.0153909i | ||||
\(337\) | −23.5993 | + | 8.58946i | −1.28554 | + | 0.467898i | −0.892260 | − | 0.451522i | \(-0.850881\pi\) |
−0.393278 | + | 0.919420i | \(0.628659\pi\) | |||||||
\(338\) | 9.11393 | + | 7.64749i | 0.495732 | + | 0.415969i | ||||
\(339\) | 4.90773 | + | 1.22633i | 0.266551 | + | 0.0666051i | ||||
\(340\) | −18.4841 | − | 6.72766i | −1.00244 | − | 0.364858i | ||||
\(341\) | 0.122048 | 0.00660926 | ||||||||
\(342\) | 8.11233 | + | 4.32417i | 0.438665 | + | 0.233824i | ||||
\(343\) | 18.0635 | + | 4.08771i | 0.975338 | + | 0.220716i | ||||
\(344\) | 5.49644 | − | 4.61206i | 0.296348 | − | 0.248666i | ||||
\(345\) | −29.8153 | + | 3.11812i | −1.60520 | + | 0.167874i | ||||
\(346\) | 10.7963 | + | 9.05919i | 0.580414 | + | 0.487025i | ||||
\(347\) | −14.2348 | + | 5.18104i | −0.764163 | + | 0.278133i | −0.694553 | − | 0.719442i | \(-0.744398\pi\) |
−0.0696102 | + | 0.997574i | \(0.522176\pi\) | |||||||
\(348\) | −0.585208 | + | 8.30713i | −0.0313704 | + | 0.445309i | ||||
\(349\) | 13.1750 | + | 4.79529i | 0.705239 | + | 0.256686i | 0.669646 | − | 0.742680i | \(-0.266446\pi\) |
0.0355929 | + | 0.999366i | \(0.488668\pi\) | |||||||
\(350\) | −8.44543 | + | 2.38180i | −0.451427 | + | 0.127313i | ||||
\(351\) | −4.12497 | − | 29.6848i | −0.220175 | − | 1.58446i | ||||
\(352\) | −0.264644 | − | 0.458377i | −0.0141056 | − | 0.0244316i | ||||
\(353\) | −20.1070 | + | 16.8717i | −1.07019 | + | 0.897992i | −0.995069 | − | 0.0991824i | \(-0.968377\pi\) |
−0.0751164 | + | 0.997175i | \(0.523933\pi\) | |||||||
\(354\) | 7.24387 | + | 4.89151i | 0.385007 | + | 0.259981i | ||||
\(355\) | 7.32273 | − | 41.5292i | 0.388650 | − | 2.20414i | ||||
\(356\) | 4.61798 | − | 26.1899i | 0.244753 | − | 1.38806i | ||||
\(357\) | 2.40297 | − | 16.5121i | 0.127179 | − | 0.873916i | ||||
\(358\) | 5.75252 | − | 4.82694i | 0.304030 | − | 0.255112i | ||||
\(359\) | 10.1476 | − | 17.5761i | 0.535567 | − | 0.927630i | −0.463568 | − | 0.886061i | \(-0.653431\pi\) |
0.999136 | − | 0.0415688i | \(-0.0132356\pi\) | |||||||
\(360\) | 14.0411 | + | 15.6267i | 0.740031 | + | 0.823599i | ||||
\(361\) | −4.12364 | − | 7.14236i | −0.217034 | − | 0.375913i | ||||
\(362\) | −1.21797 | + | 1.02200i | −0.0640152 | + | 0.0537151i | ||||
\(363\) | 13.2309 | − | 13.6869i | 0.694444 | − | 0.718374i | ||||
\(364\) | 2.53071 | + | 25.1341i | 0.132645 | + | 1.31738i | ||||
\(365\) | 38.3607 | − | 13.9622i | 2.00789 | − | 0.730813i | ||||
\(366\) | −0.585001 | − | 0.146179i | −0.0305785 | − | 0.00764088i | ||||
\(367\) | −18.8888 | − | 6.87495i | −0.985986 | − | 0.358870i | −0.201821 | − | 0.979422i | \(-0.564686\pi\) |
−0.784165 | + | 0.620553i | \(0.786908\pi\) | |||||||
\(368\) | −5.43904 | − | 9.42069i | −0.283530 | − | 0.491088i | ||||
\(369\) | −5.61949 | + | 1.18839i | −0.292539 | + | 0.0618649i | ||||
\(370\) | −6.54474 | − | 11.3358i | −0.340245 | − | 0.589321i | ||||
\(371\) | 3.38875 | + | 7.02572i | 0.175935 | + | 0.364757i | ||||
\(372\) | −2.13420 | − | 2.94068i | −0.110653 | − | 0.152467i | ||||
\(373\) | 30.6252 | − | 11.1467i | 1.58571 | − | 0.577152i | 0.609275 | − | 0.792959i | \(-0.291460\pi\) |
0.976436 | + | 0.215807i | \(0.0692382\pi\) | |||||||
\(374\) | 0.193447 | − | 0.0704088i | 0.0100029 | − | 0.00364075i | ||||
\(375\) | −3.04338 | − | 2.05508i | −0.157160 | − | 0.106124i | ||||
\(376\) | 2.21199 | + | 12.5448i | 0.114075 | + | 0.646951i | ||||
\(377\) | 16.7522 | 0.862781 | ||||||||
\(378\) | −4.78227 | + | 6.50093i | −0.245973 | + | 0.334372i | ||||
\(379\) | −13.7037 | −0.703914 | −0.351957 | − | 0.936016i | \(-0.614484\pi\) | ||||
−0.351957 | + | 0.936016i | \(0.614484\pi\) | |||||||
\(380\) | −4.89665 | − | 27.7703i | −0.251193 | − | 1.42459i | ||||
\(381\) | −6.51562 | + | 3.17371i | −0.333806 | + | 0.162594i | ||||
\(382\) | −4.19772 | + | 1.52784i | −0.214774 | + | 0.0781713i | ||||
\(383\) | −8.31613 | + | 3.02683i | −0.424935 | + | 0.154664i | −0.545630 | − | 0.838026i | \(-0.683710\pi\) |
0.120696 | + | 0.992690i | \(0.461487\pi\) | |||||||
\(384\) | −8.11507 | + | 18.2014i | −0.414120 | + | 0.928836i | ||||
\(385\) | −0.467997 | + | 0.687336i | −0.0238513 | + | 0.0350299i | ||||
\(386\) | 3.98411 | + | 6.90068i | 0.202786 | + | 0.351235i | ||||
\(387\) | 0.339711 | + | 10.0253i | 0.0172685 | + | 0.509617i | ||||
\(388\) | −2.99827 | − | 5.19316i | −0.152214 | − | 0.263643i | ||||
\(389\) | −13.9400 | − | 5.07373i | −0.706784 | − | 0.257248i | −0.0364792 | − | 0.999334i | \(-0.511614\pi\) |
−0.670304 | + | 0.742086i | \(0.733836\pi\) | |||||||
\(390\) | 13.3016 | − | 13.7600i | 0.673555 | − | 0.696765i | ||||
\(391\) | 18.1469 | − | 6.60493i | 0.917728 | − | 0.334026i | ||||
\(392\) | 9.35093 | − | 11.7554i | 0.472293 | − | 0.593738i | ||||
\(393\) | 23.8861 | + | 5.96859i | 1.20489 | + | 0.301076i | ||||
\(394\) | −0.717846 | + | 0.602344i | −0.0361646 | + | 0.0303457i | ||||
\(395\) | −20.9897 | − | 36.3553i | −1.05611 | − | 1.82923i | ||||
\(396\) | 0.473558 | + | 0.0670538i | 0.0237972 | + | 0.00336958i | ||||
\(397\) | 2.74774 | − | 4.75923i | 0.137905 | − | 0.238859i | −0.788798 | − | 0.614652i | \(-0.789296\pi\) |
0.926704 | + | 0.375793i | \(0.122630\pi\) | |||||||
\(398\) | 0.439266 | − | 0.368588i | 0.0220184 | − | 0.0184756i | ||||
\(399\) | 22.2223 | − | 8.85231i | 1.11251 | − | 0.443170i | ||||
\(400\) | 2.01222 | − | 11.4119i | 0.100611 | − | 0.570593i | ||||
\(401\) | −1.51394 | + | 8.58600i | −0.0756027 | + | 0.428764i | 0.923389 | + | 0.383866i | \(0.125408\pi\) |
−0.998992 | + | 0.0448984i | \(0.985704\pi\) | |||||||
\(402\) | −0.390279 | + | 5.54007i | −0.0194653 | + | 0.276314i | ||||
\(403\) | −5.59920 | + | 4.69829i | −0.278916 | + | 0.234038i | ||||
\(404\) | −9.91445 | − | 17.1723i | −0.493262 | − | 0.854355i | ||||
\(405\) | −29.3031 | + | 1.98817i | −1.45608 | + | 0.0987929i | ||||
\(406\) | −3.23129 | − | 3.14782i | −0.160366 | − | 0.156224i | ||||
\(407\) | −0.618352 | − | 0.225062i | −0.0306506 | − | 0.0111559i | ||||
\(408\) | −11.2157 | − | 7.57356i | −0.555262 | − | 0.374947i | ||||
\(409\) | 8.60119 | − | 3.13058i | 0.425301 | − | 0.154797i | −0.120497 | − | 0.992714i | \(-0.538449\pi\) |
0.545798 | + | 0.837917i | \(0.316227\pi\) | |||||||
\(410\) | −2.80974 | − | 2.35765i | −0.138763 | − | 0.116436i | ||||
\(411\) | −4.96502 | − | 6.84120i | −0.244906 | − | 0.337451i | ||||
\(412\) | −14.8234 | + | 12.4383i | −0.730297 | + | 0.612792i | ||||
\(413\) | 21.8903 | − | 6.17354i | 1.07715 | − | 0.303780i | ||||
\(414\) | −9.24803 | − | 1.30948i | −0.454516 | − | 0.0643575i | ||||
\(415\) | 3.65799 | 0.179564 | ||||||||
\(416\) | 29.7865 | + | 10.8414i | 1.46040 | + | 0.531543i | ||||
\(417\) | 10.6920 | − | 11.0605i | 0.523591 | − | 0.541633i | ||||
\(418\) | 0.226072 | + | 0.189697i | 0.0110575 | + | 0.00927837i | ||||
\(419\) | −22.0176 | + | 8.01376i | −1.07563 | + | 0.391498i | −0.818280 | − | 0.574820i | \(-0.805072\pi\) |
−0.257352 | + | 0.966318i | \(0.582850\pi\) | |||||||
\(420\) | 24.7447 | − | 0.743053i | 1.20742 | − | 0.0362573i | ||||
\(421\) | −7.02955 | − | 39.8665i | −0.342599 | − | 1.94298i | −0.332721 | − | 0.943025i | \(-0.607967\pi\) |
−0.00987782 | − | 0.999951i | \(-0.503144\pi\) | |||||||
\(422\) | 2.69663 | 0.131270 | ||||||||
\(423\) | −15.7156 | − | 8.37699i | −0.764118 | − | 0.407303i | ||||
\(424\) | 6.32647 | 0.307241 | ||||||||
\(425\) | 19.3310 | + | 7.03592i | 0.937693 | + | 0.341292i | ||||
\(426\) | 5.35031 | − | 12.0003i | 0.259223 | − | 0.581416i | ||||
\(427\) | −1.27339 | + | 0.916695i | −0.0616235 | + | 0.0443620i | ||||
\(428\) | 16.3031 | + | 13.6799i | 0.788038 | + | 0.661243i | ||||
\(429\) | 0.0676105 | − | 0.959742i | 0.00326427 | − | 0.0463368i | ||||
\(430\) | −4.90701 | + | 4.11747i | −0.236637 | + | 0.198562i | ||||
\(431\) | −8.08832 | + | 14.0094i | −0.389601 | + | 0.674808i | −0.992396 | − | 0.123088i | \(-0.960720\pi\) |
0.602795 | + | 0.797896i | \(0.294054\pi\) | |||||||
\(432\) | −4.98887 | − | 9.41792i | −0.240027 | − | 0.453120i | ||||
\(433\) | 3.63457 | 0.174666 | 0.0873332 | − | 0.996179i | \(-0.472166\pi\) | ||||
0.0873332 | + | 0.996179i | \(0.472166\pi\) | |||||||
\(434\) | 1.96285 | + | 0.145877i | 0.0942197 | + | 0.00700233i | ||||
\(435\) | 1.15367 | − | 16.3765i | 0.0553140 | − | 0.785192i | ||||
\(436\) | −3.07292 | + | 17.4274i | −0.147166 | + | 0.834621i | ||||
\(437\) | 21.2074 | + | 17.7951i | 1.01449 | + | 0.851256i | ||||
\(438\) | 12.6502 | − | 1.32298i | 0.604451 | − | 0.0632143i | ||||
\(439\) | −2.31491 | − | 0.842557i | −0.110484 | − | 0.0402130i | 0.286186 | − | 0.958174i | \(-0.407612\pi\) |
−0.396671 | + | 0.917961i | \(0.629835\pi\) | |||||||
\(440\) | 0.337211 | + | 0.584067i | 0.0160759 | + | 0.0278443i | ||||
\(441\) | 4.88097 | + | 20.4249i | 0.232427 | + | 0.972614i | ||||
\(442\) | −6.16435 | + | 10.6770i | −0.293208 | + | 0.507851i | ||||
\(443\) | 2.87842 | − | 2.41528i | 0.136758 | − | 0.114754i | −0.571843 | − | 0.820363i | \(-0.693771\pi\) |
0.708601 | + | 0.705610i | \(0.249327\pi\) | |||||||
\(444\) | 5.39014 | + | 18.8344i | 0.255805 | + | 0.893842i | ||||
\(445\) | −9.10378 | + | 51.6301i | −0.431560 | + | 2.44750i | ||||
\(446\) | 6.83589 | + | 5.73599i | 0.323689 | + | 0.271607i | ||||
\(447\) | 25.3106 | − | 26.1828i | 1.19715 | − | 1.23840i | ||||
\(448\) | 1.00679 | + | 2.08732i | 0.0475663 | + | 0.0986168i | ||||
\(449\) | −0.189743 | + | 0.328645i | −0.00895453 | + | 0.0155097i | −0.870468 | − | 0.492225i | \(-0.836184\pi\) |
0.861513 | + | 0.507735i | \(0.169517\pi\) | |||||||
\(450\) | −6.65004 | − | 7.40100i | −0.313486 | − | 0.348886i | ||||
\(451\) | −0.184391 | −0.00868264 | ||||||||
\(452\) | −0.839539 | − | 4.76126i | −0.0394886 | − | 0.223951i | ||||
\(453\) | −7.71468 | + | 17.3034i | −0.362467 | + | 0.812983i | ||||
\(454\) | −2.22909 | + | 12.6418i | −0.104616 | + | 0.593308i | ||||
\(455\) | −4.98898 | − | 49.5487i | −0.233887 | − | 2.32288i | ||||
\(456\) | 1.36335 | − | 19.3530i | 0.0638446 | − | 0.906285i | ||||
\(457\) | −3.56540 | − | 20.2204i | −0.166782 | − | 0.945869i | −0.947208 | − | 0.320620i | \(-0.896109\pi\) |
0.780426 | − | 0.625249i | \(-0.215002\pi\) | |||||||
\(458\) | 0.0876762 | − | 0.151860i | 0.00409684 | − | 0.00709593i | ||||
\(459\) | 18.0033 | − | 5.81875i | 0.840320 | − | 0.271596i | ||||
\(460\) | 14.3255 | + | 24.8125i | 0.667929 | + | 1.15689i | ||||
\(461\) | 9.70572 | + | 3.53259i | 0.452041 | + | 0.164529i | 0.558000 | − | 0.829841i | \(-0.311569\pi\) |
−0.105959 | + | 0.994370i | \(0.533791\pi\) | |||||||
\(462\) | −0.193382 | + | 0.172418i | −0.00899693 | + | 0.00802161i | ||||
\(463\) | −16.6071 | − | 13.9350i | −0.771797 | − | 0.647615i | 0.169371 | − | 0.985552i | \(-0.445826\pi\) |
−0.941169 | + | 0.337938i | \(0.890271\pi\) | |||||||
\(464\) | 5.59800 | − | 2.03750i | 0.259880 | − | 0.0945887i | ||||
\(465\) | 4.20732 | + | 5.79718i | 0.195110 | + | 0.268838i | ||||
\(466\) | −0.925817 | − | 5.25057i | −0.0428876 | − | 0.243228i | ||||
\(467\) | −6.01844 | + | 10.4243i | −0.278500 | + | 0.482377i | −0.971012 | − | 0.239030i | \(-0.923171\pi\) |
0.692512 | + | 0.721406i | \(0.256504\pi\) | |||||||
\(468\) | −24.3067 | + | 15.1536i | −1.12358 | + | 0.700475i | ||||
\(469\) | 10.3515 | + | 10.0842i | 0.477990 | + | 0.465643i | ||||
\(470\) | −1.97478 | − | 11.1995i | −0.0910899 | − | 0.516597i | ||||
\(471\) | −25.0334 | + | 25.8961i | −1.15348 | + | 1.19323i | ||||
\(472\) | 3.20325 | − | 18.1665i | 0.147442 | − | 0.836182i | ||||
\(473\) | −0.0559192 | + | 0.317134i | −0.00257117 | + | 0.0145818i | ||||
\(474\) | −3.59874 | − | 12.5748i | −0.165296 | − | 0.577581i | ||||
\(475\) | 5.12102 | + | 29.0427i | 0.234968 | + | 1.33257i | ||||
\(476\) | −15.3488 | + | 4.32870i | −0.703511 | + | 0.198406i | ||||
\(477\) | −5.45254 | + | 6.96408i | −0.249655 | + | 0.318863i | ||||
\(478\) | −3.61483 | + | 6.26107i | −0.165338 | + | 0.286374i | ||||
\(479\) | −1.76841 | − | 10.0292i | −0.0808007 | − | 0.458244i | −0.998184 | − | 0.0602388i | \(-0.980814\pi\) |
0.917383 | − | 0.398005i | \(-0.130297\pi\) | |||||||
\(480\) | 12.6495 | − | 28.3718i | 0.577370 | − | 1.29499i | ||||
\(481\) | 37.0321 | − | 13.4786i | 1.68852 | − | 0.614570i | ||||
\(482\) | −9.73932 | − | 8.17226i | −0.443614 | − | 0.372236i | ||||
\(483\) | −18.1408 | + | 16.1742i | −0.825435 | + | 0.735953i | ||||
\(484\) | −17.0967 | − | 6.22267i | −0.777121 | − | 0.282849i | ||||
\(485\) | 5.91072 | + | 10.2377i | 0.268392 | + | 0.464868i | ||||
\(486\) | −9.00787 | − | 1.61236i | −0.408605 | − | 0.0731380i | ||||
\(487\) | −2.52733 | + | 4.37746i | −0.114524 | + | 0.198362i | −0.917589 | − | 0.397529i | \(-0.869868\pi\) |
0.803065 | + | 0.595891i | \(0.203201\pi\) | |||||||
\(488\) | 0.220979 | + | 1.25324i | 0.0100033 | + | 0.0567313i | ||||
\(489\) | 8.21018 | − | 3.99912i | 0.371277 | − | 0.180846i | ||||
\(490\) | −8.34814 | + | 10.4948i | −0.377131 | + | 0.474106i | ||||
\(491\) | −4.49122 | + | 25.4710i | −0.202686 | + | 1.14949i | 0.698354 | + | 0.715753i | \(0.253916\pi\) |
−0.901040 | + | 0.433736i | \(0.857195\pi\) | |||||||
\(492\) | 3.22437 | + | 4.44280i | 0.145366 | + | 0.200297i | ||||
\(493\) | 1.83646 | + | 10.4151i | 0.0827099 | + | 0.469071i | ||||
\(494\) | −17.6740 | −0.795189 | ||||||||
\(495\) | −0.933561 | − | 0.132188i | −0.0419604 | − | 0.00594142i | ||||
\(496\) | −1.29962 | + | 2.25101i | −0.0583548 | + | 0.101073i | ||||
\(497\) | −14.8529 | − | 30.7938i | −0.666246 | − | 1.38129i | ||||
\(498\) | 1.10573 | + | 0.276297i | 0.0495490 | + | 0.0123812i | ||||
\(499\) | 11.1820 | + | 9.38282i | 0.500576 | + | 0.420033i | 0.857798 | − | 0.513986i | \(-0.171832\pi\) |
−0.357223 | + | 0.934019i | \(0.616276\pi\) | |||||||
\(500\) | −0.609456 | + | 3.45640i | −0.0272557 | + | 0.154575i | ||||
\(501\) | −20.3543 | − | 5.08608i | −0.909363 | − | 0.227229i | ||||
\(502\) | 9.96229 | − | 8.35936i | 0.444639 | − | 0.373096i | ||||
\(503\) | 7.08301 | − | 12.2681i | 0.315816 | − | 0.547009i | −0.663795 | − | 0.747915i | \(-0.731055\pi\) |
0.979611 | + | 0.200906i | \(0.0643884\pi\) | |||||||
\(504\) | 16.6406 | + | 3.63117i | 0.741232 | + | 0.161745i | ||||
\(505\) | 19.5451 | + | 33.8531i | 0.869746 | + | 1.50644i | ||||
\(506\) | −0.281766 | − | 0.102554i | −0.0125260 | − | 0.00455910i | ||||
\(507\) | 20.6184 | + | 28.4097i | 0.915694 | + | 1.26172i | ||||
\(508\) | 5.30614 | + | 4.45238i | 0.235422 | + | 0.197542i | ||||
\(509\) | −6.86956 | + | 38.9592i | −0.304488 | + | 1.72684i | 0.321418 | + | 0.946938i | \(0.395841\pi\) |
−0.625906 | + | 0.779899i | \(0.715270\pi\) | |||||||
\(510\) | 10.0130 | + | 6.76138i | 0.443382 | + | 0.299399i | ||||
\(511\) | 18.6270 | − | 27.3571i | 0.824011 | − | 1.21021i | ||||
\(512\) | 20.0748 | 0.887189 | ||||||||
\(513\) | 20.1284 | + | 18.1803i | 0.888691 | + | 0.802681i | ||||
\(514\) | −5.02413 | + | 8.70204i | −0.221605 | + | 0.383831i | ||||
\(515\) | 29.2225 | − | 24.5206i | 1.28770 | − | 1.08051i | ||||
\(516\) | 8.61899 | − | 4.19825i | 0.379430 | − | 0.184818i | ||||
\(517\) | −0.437957 | − | 0.367489i | −0.0192613 | − | 0.0161622i | ||||
\(518\) | −9.67571 | − | 4.35866i | −0.425126 | − | 0.191509i | ||||
\(519\) | 24.4245 | + | 33.6540i | 1.07211 | + | 1.47725i | ||||
\(520\) | −37.9542 | − | 13.8142i | −1.66440 | − | 0.605793i | ||||
\(521\) | −28.3116 | −1.24035 | −0.620177 | − | 0.784462i | \(-0.712939\pi\) | ||||
−0.620177 | + | 0.784462i | \(0.712939\pi\) | |||||||
\(522\) | 1.58568 | − | 4.86311i | 0.0694035 | − | 0.212853i | ||||
\(523\) | −44.4149 | −1.94213 | −0.971064 | − | 0.238819i | \(-0.923240\pi\) | ||||
−0.971064 | + | 0.238819i | \(0.923240\pi\) | |||||||
\(524\) | −4.08607 | − | 23.1732i | −0.178501 | − | 1.01233i | ||||
\(525\) | −25.8785 | + | 0.777100i | −1.12943 | + | 0.0339154i | ||||
\(526\) | −5.59723 | + | 2.03723i | −0.244051 | + | 0.0888273i | ||||
\(527\) | −3.53480 | − | 2.96605i | −0.153978 | − | 0.129203i | ||||
\(528\) | −0.0941367 | − | 0.328936i | −0.00409677 | − | 0.0143151i | ||||
\(529\) | −4.81902 | − | 1.75398i | −0.209523 | − | 0.0762600i | ||||
\(530\) | −5.64803 | −0.245335 | ||||||||
\(531\) | 17.2367 | + | 19.1831i | 0.748008 | + | 0.832476i | ||||
\(532\) | −16.3758 | − | 15.9528i | −0.709982 | − | 0.691643i | ||||
\(533\) | 8.45932 | − | 7.09821i | 0.366414 | − | 0.307458i | ||||
\(534\) | −6.65163 | + | 14.9190i | −0.287844 | + | 0.645610i | ||||
\(535\) | −32.1395 | − | 26.9682i | −1.38951 | − | 1.16594i | ||||
\(536\) | 11.0141 | − | 4.00880i | 0.475736 | − | 0.173154i | ||||
\(537\) | 19.9190 | − | 9.70240i | 0.859569 | − | 0.418689i | ||||
\(538\) | 8.54847 | + | 3.11139i | 0.368551 | + | 0.134141i | ||||
\(539\) | 0.0176389 | + | 0.673927i | 0.000759762 | + | 0.0290281i | ||||
\(540\) | 13.1398 | + | 24.8052i | 0.565447 | + | 1.06744i | ||||
\(541\) | −1.22108 | − | 2.11497i | −0.0524983 | − | 0.0909298i | 0.838582 | − | 0.544775i | \(-0.183385\pi\) |
−0.891080 | + | 0.453846i | \(0.850052\pi\) | |||||||
\(542\) | 6.82710 | − | 5.72861i | 0.293249 | − | 0.246065i | ||||
\(543\) | −4.21742 | + | 2.05427i | −0.180987 | + | 0.0881573i | ||||
\(544\) | −3.47491 | + | 19.7072i | −0.148985 | + | 0.844938i | ||||
\(545\) | 6.05788 | − | 34.3559i | 0.259491 | − | 1.47165i | ||||
\(546\) | 2.23448 | − | 15.3543i | 0.0956269 | − | 0.657105i | ||||
\(547\) | −20.8943 | + | 17.5324i | −0.893375 | + | 0.749630i | −0.968884 | − | 0.247515i | \(-0.920386\pi\) |
0.0755094 | + | 0.997145i | \(0.475942\pi\) | |||||||
\(548\) | −4.03943 | + | 6.99649i | −0.172556 | + | 0.298875i | ||||
\(549\) | −1.56999 | − | 0.836865i | −0.0670057 | − | 0.0357165i | ||||
\(550\) | −0.159707 | − | 0.276621i | −0.00680995 | − | 0.0117952i | ||||
\(551\) | −11.6140 | + | 9.74530i | −0.494773 | + | 0.415164i | ||||
\(552\) | 5.42359 | + | 18.9513i | 0.230843 | + | 0.806620i | ||||
\(553\) | −31.0312 | − | 13.9788i | −1.31958 | − | 0.594437i | ||||
\(554\) | 8.24623 | − | 3.00138i | 0.350349 | − | 0.127516i | ||||
\(555\) | −10.6260 | − | 37.1297i | −0.451049 | − | 1.57607i | ||||
\(556\) | −13.8159 | − | 5.02859i | −0.585926 | − | 0.213260i | ||||
\(557\) | 6.71021 | + | 11.6224i | 0.284321 | + | 0.492458i | 0.972444 | − | 0.233136i | \(-0.0748987\pi\) |
−0.688124 | + | 0.725593i | \(0.741565\pi\) | |||||||
\(558\) | 0.833905 | + | 2.07015i | 0.0353020 | + | 0.0876365i | ||||
\(559\) | −9.64279 | − | 16.7018i | −0.407846 | − | 0.706411i | ||||
\(560\) | −7.69356 | − | 15.9507i | −0.325112 | − | 0.674038i | ||||
\(561\) | 0.604097 | − | 0.0631773i | 0.0255050 | − | 0.00266735i | ||||
\(562\) | −7.17428 | + | 2.61123i | −0.302629 | + | 0.110148i | ||||
\(563\) | −10.0960 | + | 3.67466i | −0.425498 | + | 0.154868i | −0.545888 | − | 0.837858i | \(-0.683808\pi\) |
0.120390 | + | 0.992727i | \(0.461585\pi\) | |||||||
\(564\) | −1.19607 | + | 16.9785i | −0.0503638 | + | 0.714922i | ||||
\(565\) | 1.65505 | + | 9.38624i | 0.0696284 | + | 0.394882i | ||||
\(566\) | 11.2540 | 0.473040 | ||||||||
\(567\) | −18.3390 | + | 15.1882i | −0.770167 | + | 0.637842i | ||||
\(568\) | −27.7290 | −1.16348 | ||||||||
\(569\) | 1.32694 | + | 7.52545i | 0.0556282 | + | 0.315483i | 0.999907 | − | 0.0136646i | \(-0.00434970\pi\) |
−0.944278 | + | 0.329148i | \(0.893239\pi\) | |||||||
\(570\) | −1.21714 | + | 17.2776i | −0.0509806 | + | 0.723678i | ||||
\(571\) | 23.1959 | − | 8.44260i | 0.970717 | − | 0.353312i | 0.192492 | − | 0.981298i | \(-0.438343\pi\) |
0.778224 | + | 0.627986i | \(0.216121\pi\) | |||||||
\(572\) | −0.864080 | + | 0.314499i | −0.0361290 | + | 0.0131499i | ||||
\(573\) | −13.1087 | + | 1.37092i | −0.547623 | + | 0.0572712i | ||||
\(574\) | −2.96549 | − | 0.220393i | −0.123777 | − | 0.00919901i | ||||
\(575\) | −14.9819 | − | 25.9494i | −0.624787 | − | 1.08216i | ||||
\(576\) | −1.61994 | + | 2.06901i | −0.0674973 | + | 0.0862087i | ||||
\(577\) | 3.47770 | + | 6.02355i | 0.144778 | + | 0.250764i | 0.929290 | − | 0.369350i | \(-0.120420\pi\) |
−0.784512 | + | 0.620114i | \(0.787086\pi\) | |||||||
\(578\) | 2.06403 | + | 0.751246i | 0.0858523 | + | 0.0312477i | ||||
\(579\) | 6.46858 | + | 22.6027i | 0.268825 | + | 0.939338i | ||||
\(580\) | −14.7441 | + | 5.36643i | −0.612217 | + | 0.222829i | ||||
\(581\) | 2.40687 | − | 1.73268i | 0.0998539 | − | 0.0718836i | ||||
\(582\) | 1.01341 | + | 3.54108i | 0.0420070 | + | 0.146782i | ||||
\(583\) | −0.217510 | + | 0.182512i | −0.00900834 | + | 0.00755889i | ||||
\(584\) | −13.4215 | − | 23.2468i | −0.555388 | − | 0.961959i | ||||
\(585\) | 47.9177 | − | 29.8734i | 1.98115 | − | 1.23511i | ||||
\(586\) | 0.130220 | − | 0.225548i | 0.00537935 | − | 0.00931730i | ||||
\(587\) | −23.5728 | + | 19.7799i | −0.972953 | + | 0.816405i | −0.983011 | − | 0.183545i | \(-0.941243\pi\) |
0.0100583 | + | 0.999949i | \(0.496798\pi\) | |||||||
\(588\) | 15.9295 | − | 12.2097i | 0.656920 | − | 0.503519i | ||||
\(589\) | 1.14868 | − | 6.51448i | 0.0473305 | − | 0.268424i | ||||
\(590\) | −2.85974 | + | 16.2184i | −0.117734 | + | 0.667700i | ||||
\(591\) | −2.48565 | + | 1.21074i | −0.102246 | + | 0.0498033i | ||||
\(592\) | 10.7355 | − | 9.00813i | 0.441225 | − | 0.370232i | ||||
\(593\) | 0.193094 | + | 0.334449i | 0.00792943 | + | 0.0137342i | 0.869963 | − | 0.493117i | \(-0.164143\pi\) |
−0.862033 | + | 0.506851i | \(0.830809\pi\) | |||||||
\(594\) | −0.272211 | − | 0.110472i | −0.0111689 | − | 0.00453272i | ||||
\(595\) | 30.2582 | − | 8.53350i | 1.24047 | − | 0.349839i | ||||
\(596\) | −32.7057 | − | 11.9039i | −1.33968 | − | 0.487603i | ||||
\(597\) | 1.52103 | − | 0.740881i | 0.0622515 | − | 0.0303222i | ||||
\(598\) | 16.8745 | − | 6.14180i | 0.690048 | − | 0.251157i | ||||
\(599\) | −8.77714 | − | 7.36490i | −0.358624 | − | 0.300922i | 0.445618 | − | 0.895223i | \(-0.352984\pi\) |
−0.804242 | + | 0.594302i | \(0.797428\pi\) | |||||||
\(600\) | −8.55072 | + | 19.1785i | −0.349082 | + | 0.782960i | ||||
\(601\) | −15.5980 | + | 13.0882i | −0.636254 | + | 0.533881i | −0.902865 | − | 0.429924i | \(-0.858541\pi\) |
0.266611 | + | 0.963804i | \(0.414096\pi\) | |||||||
\(602\) | −1.27838 | + | 5.03350i | −0.0521028 | + | 0.205150i | ||||
\(603\) | −5.07980 | + | 15.5792i | −0.206865 | + | 0.634432i | ||||
\(604\) | 18.1067 | 0.736751 | ||||||||
\(605\) | 33.7039 | + | 12.2672i | 1.37026 | + | 0.498734i | ||||
\(606\) | 3.35105 | + | 11.7094i | 0.136127 | + | 0.475660i | ||||
\(607\) | 12.2197 | + | 10.2536i | 0.495984 | + | 0.416180i | 0.856165 | − | 0.516703i | \(-0.172841\pi\) |
−0.360181 | + | 0.932882i | \(0.617285\pi\) | |||||||
\(608\) | −26.9573 | + | 9.81164i | −1.09326 | + | 0.397914i | ||||
\(609\) | −6.99795 | − | 11.3218i | −0.283571 | − | 0.458782i | ||||
\(610\) | −0.197282 | − | 1.11884i | −0.00798770 | − | 0.0453005i | ||||
\(611\) | 34.2388 | 1.38515 | ||||||||
\(612\) | −12.0858 | − | 13.4506i | −0.488541 | − | 0.543709i | ||||
\(613\) | 7.96647 | 0.321763 | 0.160881 | − | 0.986974i | \(-0.448566\pi\) | ||||
0.160881 | + | 0.986974i | \(0.448566\pi\) | |||||||
\(614\) | 4.14356 | + | 1.50813i | 0.167220 | + | 0.0608632i | ||||
\(615\) | −6.35645 | − | 8.75843i | −0.256317 | − | 0.353174i | ||||
\(616\) | 0.498532 | + | 0.224576i | 0.0200864 | + | 0.00904843i | ||||
\(617\) | −26.1777 | − | 21.9657i | −1.05387 | − | 0.884306i | −0.0603792 | − | 0.998176i | \(-0.519231\pi\) |
−0.993496 | + | 0.113869i | \(0.963675\pi\) | |||||||
\(618\) | 10.6854 | − | 5.20480i | 0.429831 | − | 0.209368i | ||||
\(619\) | −26.7530 | + | 22.4484i | −1.07529 | + | 0.902279i | −0.995522 | − | 0.0945346i | \(-0.969864\pi\) |
−0.0797721 | + | 0.996813i | \(0.525419\pi\) | |||||||
\(620\) | 3.42298 | − | 5.92877i | 0.137470 | − | 0.238105i | ||||
\(621\) | −25.5356 | − | 10.3632i | −1.02471 | − | 0.415860i | ||||
\(622\) | −13.4641 | −0.539859 | ||||||||
\(623\) | 18.4655 | + | 38.2836i | 0.739805 | + | 1.53380i | ||||
\(624\) | 16.9812 | + | 11.4668i | 0.679793 | + | 0.459038i | ||||
\(625\) | −3.70382 | + | 21.0054i | −0.148153 | + | 0.840217i | ||||
\(626\) | 0.0865844 | + | 0.0726530i | 0.00346061 | + | 0.00290380i | ||||
\(627\) | 0.511441 | + | 0.704704i | 0.0204250 | + | 0.0281432i | ||||
\(628\) | 32.3475 | + | 11.7735i | 1.29081 | + | 0.469815i | ||||
\(629\) | 12.4395 | + | 21.5458i | 0.495994 | + | 0.859086i | ||||
\(630\) | −14.8561 | − | 3.24177i | −0.591881 | − | 0.129155i | ||||
\(631\) | −7.65980 | + | 13.2672i | −0.304932 | + | 0.528157i | −0.977246 | − | 0.212108i | \(-0.931967\pi\) |
0.672314 | + | 0.740266i | \(0.265300\pi\) | |||||||
\(632\) | −21.1457 | + | 17.7434i | −0.841132 | + | 0.705794i | ||||
\(633\) | 7.71904 | + | 1.92881i | 0.306804 | + | 0.0766634i | ||||
\(634\) | 1.62535 | − | 9.21782i | 0.0645509 | − | 0.366087i | ||||
\(635\) | −10.4604 | − | 8.77732i | −0.415108 | − | 0.348317i | ||||
\(636\) | 8.20105 | + | 2.04926i | 0.325193 | + | 0.0812583i | ||||
\(637\) | −26.7523 | − | 30.2388i | −1.05997 | − | 1.19810i | ||||
\(638\) | 0.0821045 | − | 0.142209i | 0.00325055 | − | 0.00563011i | ||||
\(639\) | 23.8986 | − | 30.5236i | 0.945412 | − | 1.20750i | ||||
\(640\) | −37.5476 | −1.48420 | ||||||||
\(641\) | 3.41750 | + | 19.3816i | 0.134983 | + | 0.765528i | 0.974871 | + | 0.222769i | \(0.0715095\pi\) |
−0.839888 | + | 0.542760i | \(0.817379\pi\) | |||||||
\(642\) | −7.67809 | − | 10.5795i | −0.303030 | − | 0.417539i | ||||
\(643\) | −1.40911 | + | 7.99147i | −0.0555700 | + | 0.315153i | −0.999904 | − | 0.0138344i | \(-0.995596\pi\) |
0.944334 | + | 0.328987i | \(0.106707\pi\) | |||||||
\(644\) | 21.1787 | + | 9.54049i | 0.834559 | + | 0.375948i | ||||
\(645\) | −16.9913 | + | 8.27632i | −0.669031 | + | 0.325880i | ||||
\(646\) | −1.93751 | − | 10.9882i | −0.0762302 | − | 0.432323i | ||||
\(647\) | 9.47724 | − | 16.4151i | 0.372589 | − | 0.645343i | −0.617374 | − | 0.786670i | \(-0.711804\pi\) |
0.989963 | + | 0.141327i | \(0.0451369\pi\) | |||||||
\(648\) | 4.63339 | + | 18.7486i | 0.182017 | + | 0.736516i | ||||
\(649\) | 0.413956 | + | 0.716993i | 0.0162492 | + | 0.0281444i | ||||
\(650\) | 17.9756 | + | 6.54257i | 0.705060 | + | 0.256621i | ||||
\(651\) | 5.51426 | + | 1.82153i | 0.216121 | + | 0.0713914i | ||||
\(652\) | −6.68614 | − | 5.61034i | −0.261850 | − | 0.219718i | ||||
\(653\) | −11.8795 | + | 4.32379i | −0.464881 | + | 0.169203i | −0.563832 | − | 0.825889i | \(-0.690673\pi\) |
0.0989511 | + | 0.995092i | \(0.468451\pi\) | |||||||
\(654\) | 4.42616 | − | 9.92749i | 0.173076 | − | 0.388196i | ||||
\(655\) | 8.05518 | + | 45.6832i | 0.314742 | + | 1.78499i | ||||
\(656\) | 1.96348 | − | 3.40085i | 0.0766611 | − | 0.132781i | ||||
\(657\) | 37.1572 | + | 5.26130i | 1.44964 | + | 0.205263i | ||||
\(658\) | −6.60424 | − | 6.43365i | −0.257460 | − | 0.250810i | ||||
\(659\) | −3.99230 | − | 22.6415i | −0.155518 | − | 0.881987i | −0.958311 | − | 0.285728i | \(-0.907765\pi\) |
0.802793 | − | 0.596258i | \(-0.203347\pi\) | |||||||
\(660\) | 0.247940 | + | 0.866359i | 0.00965103 | + | 0.0337230i | ||||
\(661\) | 4.37526 | − | 24.8133i | 0.170178 | − | 0.965127i | −0.773386 | − | 0.633936i | \(-0.781438\pi\) |
0.943564 | − | 0.331191i | \(-0.107450\pi\) | |||||||
\(662\) | −0.347717 | + | 1.97200i | −0.0135144 | + | 0.0766441i | ||||
\(663\) | −25.2822 | + | 26.1534i | −0.981878 | + | 1.01571i | ||||
\(664\) | −0.417681 | − | 2.36879i | −0.0162092 | − | 0.0919267i | ||||
\(665\) | 32.2829 | + | 31.4490i | 1.25188 | + | 1.21954i | ||||
\(666\) | −0.407508 | − | 12.0261i | −0.0157906 | − | 0.466003i | ||||
\(667\) | 7.70208 | − | 13.3404i | 0.298226 | − | 0.516542i | ||||
\(668\) | 3.48190 | + | 19.7469i | 0.134719 | + | 0.764029i | ||||
\(669\) | 15.4648 | + | 21.3086i | 0.597904 | + | 0.823839i | ||||
\(670\) | −9.83295 | + | 3.57890i | −0.379880 | + | 0.138265i | ||||
\(671\) | −0.0437521 | − | 0.0367124i | −0.00168903 | − | 0.00141726i | ||||
\(672\) | −5.11576 | − | 24.6597i | −0.197345 | − | 0.951269i | ||||
\(673\) | 15.1371 | + | 5.50946i | 0.583493 | + | 0.212374i | 0.616865 | − | 0.787069i | \(-0.288402\pi\) |
−0.0333723 | + | 0.999443i | \(0.510625\pi\) | |||||||
\(674\) | −7.37142 | − | 12.7677i | −0.283936 | − | 0.491792i | ||||
\(675\) | −13.7419 | − | 25.9417i | −0.528925 | − | 0.998498i | ||||
\(676\) | 16.7747 | − | 29.0546i | 0.645179 | − | 1.11748i | ||||
\(677\) | 0.849819 | + | 4.81956i | 0.0326612 | + | 0.185231i | 0.996774 | − | 0.0802631i | \(-0.0255761\pi\) |
−0.964113 | + | 0.265494i | \(0.914465\pi\) | |||||||
\(678\) | −0.208681 | + | 2.96227i | −0.00801436 | + | 0.113765i | ||||
\(679\) | 8.73839 | + | 3.93642i | 0.335348 | + | 0.151066i | ||||
\(680\) | 4.42775 | − | 25.1110i | 0.169797 | − | 0.962965i | ||||
\(681\) | −15.4230 | + | 34.5924i | −0.591009 | + | 1.32558i | ||||
\(682\) | 0.0124413 | + | 0.0705584i | 0.000476404 | + | 0.00270182i | ||||
\(683\) | 29.0638 | 1.11209 | 0.556047 | − | 0.831151i | \(-0.312317\pi\) | ||||
0.556047 | + | 0.831151i | \(0.312317\pi\) | |||||||
\(684\) | 8.03608 | − | 24.6457i | 0.307267 | − | 0.942354i | ||||
\(685\) | 7.96323 | − | 13.7927i | 0.304259 | − | 0.526993i | ||||
\(686\) | −0.521829 | + | 10.8596i | −0.0199235 | + | 0.414621i | ||||
\(687\) | 0.359591 | − | 0.371982i | 0.0137193 | − | 0.0141920i | ||||
\(688\) | −5.25366 | − | 4.40834i | −0.200294 | − | 0.168066i | ||||
\(689\) | 2.95282 | − | 16.7463i | 0.112493 | − | 0.637982i | ||||
\(690\) | −4.84197 | − | 16.9190i | −0.184331 | − | 0.644094i | ||||
\(691\) | −2.46249 | + | 2.06627i | −0.0936774 | + | 0.0786047i | −0.688424 | − | 0.725309i | \(-0.741697\pi\) |
0.594746 | + | 0.803913i | \(0.297253\pi\) | |||||||
\(692\) | 19.8712 | − | 34.4179i | 0.755389 | − | 1.30837i | ||||
\(693\) | −0.676875 | + | 0.355222i | −0.0257124 | + | 0.0134938i | ||||
\(694\) | −4.44633 | − | 7.70127i | −0.168780 | − | 0.292336i | ||||
\(695\) | 27.2364 | + | 9.91324i | 1.03314 | + | 0.376031i | ||||
\(696\) | −10.7366 | + | 1.12284i | −0.406968 | + | 0.0425613i | ||||
\(697\) | 5.34041 | + | 4.48114i | 0.202283 | + | 0.169735i | ||||
\(698\) | −1.42922 | + | 8.10553i | −0.0540969 | + | 0.306799i | ||||
\(699\) | 1.10543 | − | 15.6918i | 0.0418114 | − | 0.593520i | ||||
\(700\) | 10.7498 | + | 22.2871i | 0.406306 | + | 0.842372i | ||||
\(701\) | −19.4165 | −0.733351 | −0.366675 | − | 0.930349i | \(-0.619504\pi\) | ||||
−0.366675 | + | 0.930349i | \(0.619504\pi\) | |||||||
\(702\) | 16.7409 | − | 5.41075i | 0.631845 | − | 0.204216i | ||||
\(703\) | −17.8327 | + | 30.8872i | −0.672575 | + | 1.16493i | ||||
\(704\) | −0.0646216 | + | 0.0542240i | −0.00243552 | + | 0.00204364i | ||||
\(705\) | 2.35791 | − | 33.4709i | 0.0888040 | − | 1.26059i | ||||
\(706\) | −11.8036 | − | 9.90437i | −0.444233 | − | 0.372756i | ||||
\(707\) | 28.8954 | + | 13.0167i | 1.08672 | + | 0.489542i | ||||
\(708\) | 10.0369 | − | 22.5118i | 0.377208 | − | 0.846045i | ||||
\(709\) | 16.3562 | + | 5.95319i | 0.614272 | + | 0.223577i | 0.630371 | − | 0.776294i | \(-0.282903\pi\) |
−0.0160996 | + | 0.999870i | \(0.505125\pi\) | |||||||
\(710\) | 24.7554 | 0.929053 | ||||||||
\(711\) | −1.30693 | − | 38.5692i | −0.0490136 | − | 1.44646i | ||||
\(712\) | 34.4733 | 1.29194 | ||||||||
\(713\) | 1.16710 | + | 6.61896i | 0.0437083 | + | 0.247882i | ||||
\(714\) | 9.79097 | − | 0.294011i | 0.366418 | − | 0.0110031i | ||||
\(715\) | 1.70343 | − | 0.619996i | 0.0637045 | − | 0.0231865i | ||||
\(716\) | −16.2215 | − | 13.6114i | −0.606225 | − | 0.508683i | ||||
\(717\) | −14.8257 | + | 15.3366i | −0.553676 | + | 0.572755i | ||||
\(718\) | 11.1955 | + | 4.07484i | 0.417813 | + | 0.152072i | ||||
\(719\) | −24.3736 | −0.908980 | −0.454490 | − | 0.890752i | \(-0.650179\pi\) | ||||
−0.454490 | + | 0.890752i | \(0.650179\pi\) | |||||||
\(720\) | 12.3790 | − | 15.8107i | 0.461339 | − | 0.589230i | ||||
\(721\) | 7.61308 | − | 29.9758i | 0.283526 | − | 1.11636i | ||||
\(722\) | 3.70879 | − | 3.11204i | 0.138027 | − | 0.115818i | ||||
\(723\) | −22.0332 | − | 30.3591i | −0.819424 | − | 1.12907i | ||||
\(724\) | 3.43455 | + | 2.88193i | 0.127644 | + | 0.107106i | ||||
\(725\) | 15.4197 | − | 5.61232i | 0.572674 | − | 0.208436i | ||||
\(726\) | 9.26140 | + | 6.25386i | 0.343723 | + | 0.232103i | ||||
\(727\) | 14.0755 | + | 5.12306i | 0.522031 | + | 0.190004i | 0.589577 | − | 0.807712i | \(-0.299295\pi\) |
−0.0675456 | + | 0.997716i | \(0.521517\pi\) | |||||||
\(728\) | −31.5163 | + | 8.88831i | −1.16807 | + | 0.329423i | ||||
\(729\) | −24.6315 | − | 11.0584i | −0.912279 | − | 0.409569i | ||||
\(730\) | 11.9822 | + | 20.7538i | 0.443482 | + | 0.768134i | ||||
\(731\) | 9.32666 | − | 7.82599i | 0.344959 | − | 0.289455i | ||||
\(732\) | −0.119488 | + | 1.69616i | −0.00441641 | + | 0.0626917i | ||||
\(733\) | −1.73526 | + | 9.84113i | −0.0640932 | + | 0.363490i | 0.935845 | + | 0.352411i | \(0.114638\pi\) |
−0.999939 | + | 0.0110797i | \(0.996473\pi\) | |||||||
\(734\) | 2.04906 | − | 11.6208i | 0.0756323 | − | 0.428932i | ||||
\(735\) | −31.4029 | + | 24.0699i | −1.15831 | + | 0.887832i | ||||
\(736\) | 22.3282 | − | 18.7356i | 0.823029 | − | 0.690603i | ||||
\(737\) | −0.263025 | + | 0.455572i | −0.00968863 | + | 0.0167812i | ||||
\(738\) | −1.25987 | − | 3.12760i | −0.0463765 | − | 0.115129i | ||||
\(739\) | −8.47592 | − | 14.6807i | −0.311792 | − | 0.540039i | 0.666958 | − | 0.745095i | \(-0.267596\pi\) |
−0.978750 | + | 0.205056i | \(0.934263\pi\) | |||||||
\(740\) | −28.2754 | + | 23.7258i | −1.03942 | + | 0.872179i | ||||
\(741\) | −50.5913 | − | 12.6416i | −1.85852 | − | 0.464401i | ||||
\(742\) | −3.71627 | + | 2.67530i | −0.136429 | + | 0.0982133i | ||||
\(743\) | 4.70157 | − | 1.71123i | 0.172484 | − | 0.0627790i | −0.254335 | − | 0.967116i | \(-0.581857\pi\) |
0.426819 | + | 0.904337i | \(0.359634\pi\) | |||||||
\(744\) | 3.27364 | − | 3.38645i | 0.120018 | − | 0.124153i | ||||
\(745\) | 64.4752 | + | 23.4671i | 2.36219 | + | 0.859766i | ||||
\(746\) | 9.56599 | + | 16.5688i | 0.350236 | + | 0.606626i | ||||
\(747\) | 2.96750 | + | 1.58179i | 0.108575 | + | 0.0578746i | ||||
\(748\) | −0.290253 | − | 0.502734i | −0.0106127 | − | 0.0183818i | ||||
\(749\) | −33.9210 | − | 2.52098i | −1.23945 | − | 0.0921147i | ||||
\(750\) | 0.877846 | − | 1.96893i | 0.0320544 | − | 0.0718953i | ||||
\(751\) | −46.4009 | + | 16.8886i | −1.69319 | + | 0.616272i | −0.995022 | − | 0.0996584i | \(-0.968225\pi\) |
−0.698172 | + | 0.715930i | \(0.746003\pi\) | |||||||
\(752\) | 11.4414 | − | 4.16434i | 0.417226 | − | 0.151858i | ||||
\(753\) | 34.4960 | − | 16.8027i | 1.25710 | − | 0.612326i | ||||
\(754\) | 1.70769 | + | 9.68478i | 0.0621904 | + | 0.352699i | ||||
\(755\) | −35.6951 | −1.29908 | ||||||||
\(756\) | 20.3951 | + | 10.0973i | 0.741764 | + | 0.367235i | ||||
\(757\) | 25.2822 | 0.918897 | 0.459449 | − | 0.888204i | \(-0.348047\pi\) | ||||
0.459449 | + | 0.888204i | \(0.348047\pi\) | |||||||
\(758\) | −1.39694 | − | 7.92242i | −0.0507390 | − | 0.287755i | ||||
\(759\) | −0.733193 | − | 0.495097i | −0.0266132 | − | 0.0179709i | ||||
\(760\) | 34.3491 | − | 12.5021i | 1.24597 | − | 0.453498i | ||||
\(761\) | −5.31141 | + | 1.93320i | −0.192538 | + | 0.0700783i | −0.436490 | − | 0.899709i | \(-0.643779\pi\) |
0.243951 | + | 0.969787i | \(0.421556\pi\) | |||||||
\(762\) | −2.49898 | − | 3.44329i | −0.0905285 | − | 0.124737i | ||||
\(763\) | −12.2874 | − | 25.4748i | −0.444834 | − | 0.922251i | ||||
\(764\) | 6.29839 | + | 10.9091i | 0.227868 | + | 0.394678i | ||||
\(765\) | 23.8257 | + | 26.5162i | 0.861421 | + | 0.958697i | ||||
\(766\) | −2.59760 | − | 4.49918i | −0.0938552 | − | 0.162562i | ||||
\(767\) | −46.5920 | − | 16.9581i | −1.68234 | − | 0.612322i | ||||
\(768\) | −8.40610 | − | 2.10049i | −0.303329 | − | 0.0757951i | ||||
\(769\) | 4.79031 | − | 1.74353i | 0.172743 | − | 0.0628733i | −0.254201 | − | 0.967151i | \(-0.581812\pi\) |
0.426944 | + | 0.904278i | \(0.359590\pi\) | |||||||
\(770\) | −0.445070 | − | 0.200493i | −0.0160392 | − | 0.00722526i | ||||
\(771\) | −20.6057 | + | 21.3158i | −0.742097 | + | 0.767669i | ||||
\(772\) | 17.2126 | − | 14.4431i | 0.619496 | − | 0.519819i | ||||
\(773\) | 21.8698 | + | 37.8796i | 0.786603 | + | 1.36244i | 0.928037 | + | 0.372488i | \(0.121495\pi\) |
−0.141435 | + | 0.989948i | \(0.545171\pi\) | |||||||
\(774\) | −5.76123 | + | 1.21836i | −0.207083 | + | 0.0437931i | ||||
\(775\) | −3.57982 | + | 6.20043i | −0.128591 | + | 0.222726i | ||||
\(776\) | 5.95465 | − | 4.99654i | 0.213759 | − | 0.179365i | ||||
\(777\) | −24.5789 | − | 19.3973i | −0.881762 | − | 0.695874i | ||||
\(778\) | 1.51221 | − | 8.57618i | 0.0542154 | − | 0.307471i | ||||
\(779\) | −1.73543 | + | 9.84214i | −0.0621784 | + | 0.352631i | ||||
\(780\) | −44.7256 | − | 30.2015i | −1.60143 | − | 1.08139i | ||||
\(781\) | 0.953348 | − | 0.799954i | 0.0341135 | − | 0.0286246i | ||||
\(782\) | 5.66831 | + | 9.81780i | 0.202698 | + | 0.351084i | ||||
\(783\) | 8.01741 | − | 12.7864i | 0.286519 | − | 0.456947i | ||||
\(784\) | −12.6175 | − | 6.85096i | −0.450626 | − | 0.244677i | ||||
\(785\) | −63.7691 | − | 23.2101i | −2.27602 | − | 0.828402i | ||||
\(786\) | −1.01566 | + | 14.4175i | −0.0362274 | + | 0.514254i | ||||
\(787\) | 5.44226 | − | 1.98082i | 0.193996 | − | 0.0706086i | −0.243195 | − | 0.969977i | \(-0.578196\pi\) |
0.437191 | + | 0.899369i | \(0.355973\pi\) | |||||||
\(788\) | 2.02425 | + | 1.69854i | 0.0721108 | + | 0.0605081i | ||||
\(789\) | −17.4791 | + | 1.82799i | −0.622273 | + | 0.0650781i | ||||
\(790\) | 18.8781 | − | 15.8406i | 0.671652 | − | 0.563583i | ||||
\(791\) | 5.53496 | + | 5.39198i | 0.196800 | + | 0.191717i | ||||
\(792\) | 0.0209965 | + | 0.619635i | 0.000746077 | + | 0.0220178i | ||||
\(793\) | 3.42048 | 0.121465 | ||||||||
\(794\) | 3.03151 | + | 1.10338i | 0.107584 | + | 0.0391575i | ||||
\(795\) | −16.1673 | − | 4.03985i | −0.573397 | − | 0.143279i | ||||
\(796\) | −1.23868 | − | 1.03938i | −0.0439039 | − | 0.0368397i | ||||
\(797\) | 15.0146 | − | 5.46488i | 0.531846 | − | 0.193576i | −0.0621164 | − | 0.998069i | \(-0.519785\pi\) |
0.593962 | + | 0.804493i | \(0.297563\pi\) | |||||||
\(798\) | 7.38300 | + | 11.9448i | 0.261355 | + | 0.422840i | ||||
\(799\) | 3.75343 | + | 21.2868i | 0.132787 | + | 0.753072i | ||||
\(800\) | 31.0494 | 1.09776 | ||||||||
\(801\) | −29.7112 | + | 37.9477i | −1.04979 | + | 1.34081i | ||||
\(802\) | −5.11807 | −0.180725 | ||||||||
\(803\) | 1.13209 | + | 0.412048i | 0.0399507 | + | 0.0145409i | ||||
\(804\) | 15.5762 | − | 1.62898i | 0.549329 | − | 0.0574496i | ||||
\(805\) | −41.7512 | − | 18.8079i | −1.47154 | − | 0.662891i | ||||
\(806\) | −3.28695 | − | 2.75808i | −0.115778 | − | 0.0971491i | ||||
\(807\) | 22.2443 | + | 15.0207i | 0.783036 | + | 0.528754i | ||||
\(808\) | 19.6904 | − | 16.5222i | 0.692704 | − | 0.581248i | ||||
\(809\) | 12.2565 | − | 21.2288i | 0.430914 | − | 0.746365i | −0.566038 | − | 0.824379i | \(-0.691525\pi\) |
0.996952 | + | 0.0780141i | \(0.0248579\pi\) | |||||||
\(810\) | −4.13651 | − | 16.7381i | −0.145342 | − | 0.588115i | ||||
\(811\) | −13.5257 | −0.474951 | −0.237475 | − | 0.971394i | \(-0.576320\pi\) | ||||
−0.237475 | + | 0.971394i | \(0.576320\pi\) | |||||||
\(812\) | −7.15939 | + | 10.5148i | −0.251245 | + | 0.368998i | ||||
\(813\) | 23.6399 | − | 11.5148i | 0.829087 | − | 0.403842i | ||||
\(814\) | 0.0670791 | − | 0.380425i | 0.00235112 | − | 0.0133339i | ||||
\(815\) | 13.1809 | + | 11.0601i | 0.461707 | + | 0.387418i | ||||
\(816\) | −5.26749 | + | 11.8145i | −0.184399 | + | 0.413591i | ||||
\(817\) | 16.4012 | + | 5.96954i | 0.573804 | + | 0.208848i | ||||
\(818\) | 2.68664 | + | 4.65340i | 0.0939362 | + | 0.162702i | ||||
\(819\) | 17.3786 | − | 42.3532i | 0.607258 | − | 1.47994i | ||||
\(820\) | −5.17147 | + | 8.95724i | −0.180595 | + | 0.312801i | ||||
\(821\) | −25.2681 | + | 21.2024i | −0.881862 | + | 0.739970i | −0.966561 | − | 0.256437i | \(-0.917452\pi\) |
0.0846992 | + | 0.996407i | \(0.473007\pi\) | |||||||
\(822\) | 3.44891 | − | 3.56776i | 0.120295 | − | 0.124440i | ||||
\(823\) | 8.05299 | − | 45.6708i | 0.280710 | − | 1.59198i | −0.439510 | − | 0.898238i | \(-0.644848\pi\) |
0.720220 | − | 0.693746i | \(-0.244041\pi\) | |||||||
\(824\) | −19.2154 | − | 16.1236i | −0.669400 | − | 0.561693i | ||||
\(825\) | −0.259300 | − | 0.906055i | −0.00902767 | − | 0.0315448i | ||||
\(826\) | 5.80051 | + | 12.0259i | 0.201825 | + | 0.418434i | ||||
\(827\) | 4.00088 | − | 6.92973i | 0.139124 | − | 0.240970i | −0.788041 | − | 0.615623i | \(-0.788905\pi\) |
0.927165 | + | 0.374652i | \(0.122238\pi\) | |||||||
\(828\) | 0.891976 | + | 26.3235i | 0.0309983 | + | 0.914803i | ||||
\(829\) | −2.28106 | −0.0792244 | −0.0396122 | − | 0.999215i | \(-0.512612\pi\) | ||||
−0.0396122 | + | 0.999215i | \(0.512612\pi\) | |||||||
\(830\) | 0.372889 | + | 2.11476i | 0.0129432 | + | 0.0734044i | ||||
\(831\) | 25.7514 | − | 2.69312i | 0.893307 | − | 0.0934233i | ||||
\(832\) | 0.877275 | − | 4.97527i | 0.0304140 | − | 0.172487i | ||||
\(833\) | 15.8672 | − | 19.9472i | 0.549765 | − | 0.691131i | ||||
\(834\) | 7.48421 | + | 5.05380i | 0.259157 | + | 0.174999i | ||||
\(835\) | −6.86414 | − | 38.9285i | −0.237543 | − | 1.34718i | ||||
\(836\) | 0.416097 | − | 0.720701i | 0.0143910 | − | 0.0249260i | ||||
\(837\) | 0.906322 | + | 6.52222i | 0.0313271 | + | 0.225441i | ||||
\(838\) | −6.87736 | − | 11.9119i | −0.237574 | − | 0.411491i | ||||
\(839\) | 38.9227 | + | 14.1667i | 1.34376 | + | 0.489088i | 0.910995 | − | 0.412418i | \(-0.135316\pi\) |
0.432765 | + | 0.901507i | \(0.357538\pi\) | |||||||
\(840\) | 6.51855 | + | 31.4216i | 0.224911 | + | 1.08415i | ||||
\(841\) | −15.7530 | − | 13.2183i | −0.543207 | − | 0.455805i | ||||
\(842\) | 22.3311 | − | 8.12785i | 0.769580 | − | 0.280104i | ||||
\(843\) | −22.4039 | + | 2.34303i | −0.771632 | + | 0.0806984i | ||||
\(844\) | −1.32046 | − | 7.48867i | −0.0454519 | − | 0.257771i | ||||
\(845\) | −33.0691 | + | 57.2774i | −1.13761 | + | 1.97040i | ||||
\(846\) | 3.24089 | − | 9.93944i | 0.111424 | − | 0.341725i | ||||
\(847\) | 27.9870 | − | 7.89297i | 0.961645 | − | 0.271206i | ||||
\(848\) | −1.05006 | − | 5.95516i | −0.0360591 | − | 0.204501i | ||||
\(849\) | 32.2142 | + | 8.04961i | 1.10559 | + | 0.276262i | ||||
\(850\) | −2.09704 | + | 11.8929i | −0.0719278 | + | 0.407923i | ||||
\(851\) | 6.29258 | − | 35.6870i | 0.215707 | − | 1.22333i | ||||
\(852\) | −35.9453 | − | 8.98191i | −1.23146 | − | 0.307715i | ||||
\(853\) | −1.19101 | − | 6.75457i | −0.0407795 | − | 0.231272i | 0.957605 | − | 0.288083i | \(-0.0930179\pi\) |
−0.998385 | + | 0.0568109i | \(0.981907\pi\) | |||||||
\(854\) | −0.659767 | − | 0.642725i | −0.0225768 | − | 0.0219936i | ||||
\(855\) | −15.8421 | + | 48.5860i | −0.541790 | + | 1.66161i | ||||
\(856\) | −13.7939 | + | 23.8917i | −0.471465 | + | 0.816601i | ||||
\(857\) | 1.63620 | + | 9.27938i | 0.0558917 | + | 0.316977i | 0.999917 | − | 0.0128960i | \(-0.00410503\pi\) |
−0.944025 | + | 0.329873i | \(0.892994\pi\) | |||||||
\(858\) | 0.561739 | − | 0.0587474i | 0.0191774 | − | 0.00200560i | ||||
\(859\) | 24.9608 | − | 9.08500i | 0.851652 | − | 0.309976i | 0.120938 | − | 0.992660i | \(-0.461410\pi\) |
0.730714 | + | 0.682684i | \(0.239187\pi\) | |||||||
\(860\) | 13.8372 | + | 11.6108i | 0.471845 | + | 0.395925i | ||||
\(861\) | −8.33100 | − | 2.75199i | −0.283920 | − | 0.0937875i | ||||
\(862\) | −8.92362 | − | 3.24793i | −0.303940 | − | 0.110625i | ||||
\(863\) | −20.6034 | − | 35.6861i | −0.701347 | − | 1.21477i | −0.967994 | − | 0.250974i | \(-0.919249\pi\) |
0.266647 | − | 0.963794i | \(-0.414084\pi\) | |||||||
\(864\) | 22.5303 | − | 17.5464i | 0.766498 | − | 0.596941i | ||||
\(865\) | −39.1736 | + | 67.8506i | −1.33194 | + | 2.30699i | ||||
\(866\) | 0.370502 | + | 2.10122i | 0.0125902 | + | 0.0714024i | ||||
\(867\) | 5.37089 | + | 3.62676i | 0.182405 | + | 0.123171i | ||||
\(868\) | −0.556037 | − | 5.52235i | −0.0188731 | − | 0.187441i | ||||
\(869\) | 0.215131 | − | 1.22007i | 0.00729781 | − | 0.0413879i | ||||
\(870\) | 9.58518 | − | 1.00243i | 0.324968 | − | 0.0339856i | ||||
\(871\) | −5.47064 | − | 31.0255i | −0.185366 | − | 1.05126i | ||||
\(872\) | −22.9394 | −0.776826 | ||||||||
\(873\) | 0.368031 | + | 10.8611i | 0.0124560 | + | 0.367593i | ||||
\(874\) | −8.12588 | + | 14.0744i | −0.274862 | + | 0.476075i | ||||
\(875\) | −2.43698 | − | 5.05246i | −0.0823849 | − | 0.170804i | ||||
\(876\) | −9.86839 | − | 34.4824i | −0.333422 | − | 1.16505i | ||||
\(877\) | −27.9982 | − | 23.4933i | −0.945433 | − | 0.793313i | 0.0330892 | − | 0.999452i | \(-0.489465\pi\) |
−0.978523 | + | 0.206140i | \(0.933910\pi\) | |||||||
\(878\) | 0.251122 | − | 1.42418i | 0.00847496 | − | 0.0480639i | ||||
\(879\) | 0.534079 | − | 0.552483i | 0.0180140 | − | 0.0186348i | ||||
\(880\) | 0.493818 | − | 0.414362i | 0.0166466 | − | 0.0139681i | ||||
\(881\) | −12.6271 | + | 21.8708i | −0.425418 | + | 0.736846i | −0.996459 | − | 0.0840757i | \(-0.973206\pi\) |
0.571041 | + | 0.820921i | \(0.306540\pi\) | |||||||
\(882\) | −11.3105 | + | 4.90387i | −0.380844 | + | 0.165122i | ||||
\(883\) | 9.34378 | + | 16.1839i | 0.314443 | + | 0.544631i | 0.979319 | − | 0.202322i | \(-0.0648489\pi\) |
−0.664876 | + | 0.746954i | \(0.731516\pi\) | |||||||
\(884\) | 32.6689 | + | 11.8905i | 1.09878 | + | 0.399921i | ||||
\(885\) | −19.7864 | + | 44.3792i | −0.665113 | + | 1.49179i | ||||
\(886\) | 1.68975 | + | 1.41787i | 0.0567681 | + | 0.0476341i | ||||
\(887\) | 2.23485 | − | 12.6745i | 0.0750389 | − | 0.425567i | −0.924026 | − | 0.382330i | \(-0.875122\pi\) |
0.999065 | − | 0.0432371i | \(-0.0137671\pi\) | |||||||
\(888\) | −22.8306 | + | 11.1206i | −0.766144 | + | 0.373183i | ||||
\(889\) | −11.0402 | − | 0.820502i | −0.370278 | − | 0.0275187i | ||||
\(890\) | −30.7764 | −1.03163 | ||||||||
\(891\) | −0.700180 | − | 0.510927i | −0.0234569 | − | 0.0171167i | ||||
\(892\) | 12.5818 | − | 21.7923i | 0.421270 | − | 0.729662i | ||||
\(893\) | −23.7372 | + | 19.9179i | −0.794334 | + | 0.666526i | ||||
\(894\) | 17.7169 | + | 11.9636i | 0.592543 | + | 0.400121i | ||||
\(895\) | 31.9786 | + | 26.8333i | 1.06893 | + | 0.896937i | ||||
\(896\) | −24.7055 | + | 17.7852i | −0.825352 | + | 0.594160i | ||||
\(897\) | 52.6957 | − | 5.51099i | 1.75946 | − | 0.184007i | ||||
\(898\) | −0.209338 | − | 0.0761929i | −0.00698571 | − | 0.00254259i | ||||
\(899\) | −3.68072 | −0.122759 | ||||||||
\(900\) | −17.2966 | + | 22.0915i | −0.576554 | + | 0.736384i | ||||
\(901\) | 10.7351 | 0.357638 | ||||||||
\(902\) | −0.0187965 | − | 0.106600i | −0.000625855 | − | 0.00354940i | ||||
\(903\) | −7.25963 | + | 13.4939i | −0.241585 | + | 0.449048i | ||||
\(904\) | 5.88922 | − | 2.14350i | 0.195872 | − | 0.0712917i | ||||
\(905\) | −6.77078 | − | 5.68136i | −0.225068 | − | 0.188855i | ||||
\(906\) | −10.7899 | − | 2.69614i | −0.358469 | − | 0.0895733i | ||||
\(907\) | 41.8226 | + | 15.2222i | 1.38869 | + | 0.505444i | 0.924802 | − | 0.380448i | \(-0.124230\pi\) |
0.463893 | + | 0.885891i | \(0.346452\pi\) | |||||||
\(908\) | 36.1984 | 1.20128 | ||||||||
\(909\) | 1.21698 | + | 35.9146i | 0.0403646 | + | 1.19121i | ||||
\(910\) | 28.1366 | − | 7.93514i | 0.932718 | − | 0.263047i | ||||
\(911\) | 38.0299 | − | 31.9108i | 1.25999 | − | 1.05725i | 0.264302 | − | 0.964440i | \(-0.414859\pi\) |
0.995684 | − | 0.0928131i | \(-0.0295859\pi\) | |||||||
\(912\) | −18.4434 | + | 1.92884i | −0.610722 | + | 0.0638701i | ||||
\(913\) | 0.0826974 | + | 0.0693913i | 0.00273688 | + | 0.00229652i | ||||
\(914\) | 11.3264 | − | 4.12246i | 0.374643 | − | 0.136359i | ||||
\(915\) | 0.235556 | − | 3.34376i | 0.00778725 | − | 0.110541i | ||||
\(916\) | −0.464654 | − | 0.169120i | −0.0153526 | − | 0.00558789i | ||||
\(917\) | 26.9388 | + | 26.2430i | 0.889599 | + | 0.866620i | ||||
\(918\) | 5.19916 | + | 9.81491i | 0.171598 | + | 0.323940i | ||||
\(919\) | −6.48805 | − | 11.2376i | −0.214021 | − | 0.370695i | 0.738948 | − | 0.673762i | \(-0.235323\pi\) |
−0.952969 | + | 0.303067i | \(0.901989\pi\) | |||||||
\(920\) | −28.4508 | + | 23.8730i | −0.937995 | + | 0.787071i | ||||
\(921\) | 10.7821 | + | 7.28074i | 0.355282 | + | 0.239908i | ||||
\(922\) | −1.05288 | + | 5.97118i | −0.0346748 | + | 0.196650i | ||||
\(923\) | −12.9422 | + | 73.3991i | −0.425999 | + | 2.41596i | ||||
\(924\) | 0.573506 | + | 0.452603i | 0.0188670 | + | 0.0148895i | ||||
\(925\) | 29.5709 | − | 24.8130i | 0.972287 | − | 0.815845i | ||||
\(926\) | 6.36322 | − | 11.0214i | 0.209108 | − | 0.362186i | ||||
\(927\) | 34.3096 | − | 7.25565i | 1.12688 | − | 0.238307i | ||||
\(928\) | 7.98113 | + | 13.8237i | 0.261993 | + | 0.453786i | ||||
\(929\) | 14.9852 | − | 12.5740i | 0.491647 | − | 0.412541i | −0.362969 | − | 0.931801i | \(-0.618237\pi\) |
0.854616 | + | 0.519260i | \(0.173793\pi\) | |||||||
\(930\) | −2.92258 | + | 3.02329i | −0.0958352 | + | 0.0991376i | ||||
\(931\) | 36.1378 | + | 5.40130i | 1.18437 | + | 0.177020i | ||||
\(932\) | −14.1277 | + | 5.14208i | −0.462770 | + | 0.168434i | ||||
\(933\) | −38.5405 | − | 9.63040i | −1.26176 | − | 0.315285i | ||||
\(934\) | −6.63998 | − | 2.41676i | −0.217267 | − | 0.0790787i | ||||
\(935\) | 0.572199 | + | 0.991077i | 0.0187129 | + | 0.0324117i | ||||
\(936\) | −24.8164 | − | 27.6188i | −0.811148 | − | 0.902747i | ||||
\(937\) | 20.7355 | + | 35.9149i | 0.677399 | + | 1.17329i | 0.975761 | + | 0.218837i | \(0.0702262\pi\) |
−0.298362 | + | 0.954453i | \(0.596440\pi\) | |||||||
\(938\) | −4.77464 | + | 7.01240i | −0.155898 | + | 0.228963i | ||||
\(939\) | 0.195879 | + | 0.269898i | 0.00639228 | + | 0.00880780i | ||||
\(940\) | −30.1347 | + | 10.9681i | −0.982885 | + | 0.357741i | ||||
\(941\) | −9.67269 | + | 3.52057i | −0.315321 | + | 0.114767i | −0.494832 | − | 0.868989i | \(-0.664771\pi\) |
0.179512 | + | 0.983756i | \(0.442548\pi\) | |||||||
\(942\) | −17.5229 | − | 11.8325i | −0.570927 | − | 0.385525i | ||||
\(943\) | −1.76327 | − | 9.99999i | −0.0574199 | − | 0.325644i | ||||
\(944\) | −17.6320 | −0.573872 | ||||||||
\(945\) | −40.2065 | − | 19.9056i | −1.30792 | − | 0.647528i | ||||
\(946\) | −0.189042 | −0.00614628 | ||||||||
\(947\) | −8.00288 | − | 45.3866i | −0.260059 | − | 1.47487i | −0.782745 | − | 0.622342i | \(-0.786181\pi\) |
0.522687 | − | 0.852525i | \(-0.324930\pi\) | |||||||
\(948\) | −33.1587 | + | 16.1514i | −1.07695 | + | 0.524572i | ||||
\(949\) | −67.7990 | + | 24.6768i | −2.20085 | + | 0.801044i | ||||
\(950\) | −16.2682 | + | 5.92113i | −0.527809 | + | 0.192107i | ||||
\(951\) | 11.2457 | − | 25.2232i | 0.364668 | − | 0.817919i | ||||
\(952\) | −8.98097 | − | 18.6198i | −0.291075 | − | 0.603470i | ||||
\(953\) | 17.9366 | + | 31.0670i | 0.581022 | + | 1.00636i | 0.995359 | + | 0.0962364i | \(0.0306805\pi\) |
−0.414336 | + | 0.910124i | \(0.635986\pi\) | |||||||
\(954\) | −4.58190 | − | 2.44232i | −0.148344 | − | 0.0790731i | ||||
\(955\) | −12.4165 | − | 21.5060i | −0.401788 | − | 0.695917i | ||||
\(956\) | 19.1574 | + | 6.97271i | 0.619593 | + | 0.225513i | ||||
\(957\) | 0.336740 | − | 0.348343i | 0.0108852 | − | 0.0112603i | ||||
\(958\) | 5.61779 | − | 2.04471i | 0.181503 | − | 0.0660615i | ||||
\(959\) | −1.29357 | − | 12.8472i | −0.0417714 | − | 0.414859i | ||||
\(960\) | −4.80327 | − | 1.20023i | −0.155025 | − | 0.0387372i | ||||
\(961\) | −22.5171 | + | 18.8941i | −0.726360 | + | 0.609488i | ||||
\(962\) | 11.5672 | + | 20.0350i | 0.372942 | + | 0.645955i | ||||
\(963\) | −14.4112 | − | 35.7754i | −0.464394 | − | 1.15285i | ||||
\(964\) | −17.9257 | + | 31.0483i | −0.577349 | + | 0.999997i | ||||
\(965\) | −33.9326 | + | 28.4728i | −1.09233 | + | 0.916572i | ||||
\(966\) | −11.1999 | − | 8.83880i | −0.360351 | − | 0.284384i | ||||
\(967\) | −6.85579 | + | 38.8811i | −0.220467 | + | 1.25033i | 0.650696 | + | 0.759338i | \(0.274477\pi\) |
−0.871163 | + | 0.490993i | \(0.836634\pi\) | |||||||
\(968\) | 4.09540 | − | 23.2262i | 0.131631 | − | 0.746518i | ||||
\(969\) | 2.31340 | − | 32.8392i | 0.0743172 | − | 1.05495i | ||||
\(970\) | −5.31608 | + | 4.46072i | −0.170689 | + | 0.143225i | ||||
\(971\) | −1.49349 | − | 2.58681i | −0.0479285 | − | 0.0830145i | 0.841066 | − | 0.540933i | \(-0.181929\pi\) |
−0.888994 | + | 0.457918i | \(0.848595\pi\) | |||||||
\(972\) | −0.0667253 | + | 25.8048i | −0.00214022 | + | 0.827690i | ||||
\(973\) | 22.6165 | − | 6.37837i | 0.725053 | − | 0.204481i | ||||
\(974\) | −2.78833 | − | 1.01487i | −0.0893440 | − | 0.0325185i | ||||
\(975\) | 46.7749 | + | 31.5853i | 1.49800 | + | 1.01154i | ||||
\(976\) | 1.14300 | − | 0.416019i | 0.0365866 | − | 0.0133165i | ||||
\(977\) | −37.2399 | − | 31.2480i | −1.19141 | − | 0.999711i | −0.999834 | − | 0.0182330i | \(-0.994196\pi\) |
−0.191575 | − | 0.981478i | \(-0.561360\pi\) | |||||||
\(978\) | 3.14891 | + | 4.33881i | 0.100691 | + | 0.138740i | ||||
\(979\) | −1.18522 | + | 0.994521i | −0.0378799 | + | 0.0317850i | ||||
\(980\) | 33.2324 | + | 18.0442i | 1.06157 | + | 0.576402i | ||||
\(981\) | 19.7706 | − | 25.2513i | 0.631226 | − | 0.806212i | ||||
\(982\) | −15.1831 | −0.484513 | ||||||||
\(983\) | 20.7683 | + | 7.55903i | 0.662405 | + | 0.241096i | 0.651274 | − | 0.758842i | \(-0.274235\pi\) |
0.0111306 | + | 0.999938i | \(0.496457\pi\) | |||||||
\(984\) | −4.94585 | + | 5.11628i | −0.157668 | + | 0.163101i | ||||
\(985\) | −3.99055 | − | 3.34847i | −0.127150 | − | 0.106691i | ||||
\(986\) | −5.83396 | + | 2.12339i | −0.185791 | + | 0.0676225i | ||||
\(987\) | −14.3027 | − | 23.1400i | −0.455260 | − | 0.736553i | ||||
\(988\) | 8.65438 | + | 49.0815i | 0.275333 | + | 1.56149i | ||||
\(989\) | −17.7337 | −0.563898 | ||||||||
\(990\) | −0.0187448 | − | 0.553186i | −0.000595750 | − | 0.0175814i | ||||
\(991\) | 3.89220 | 0.123640 | 0.0618199 | − | 0.998087i | \(-0.480310\pi\) | ||||
0.0618199 | + | 0.998087i | \(0.480310\pi\) | |||||||
\(992\) | −6.54456 | − | 2.38203i | −0.207790 | − | 0.0756294i | ||||
\(993\) | −2.40584 | + | 5.39610i | −0.0763471 | + | 0.171240i | ||||
\(994\) | 16.2885 | − | 11.7259i | 0.516639 | − | 0.371922i | ||||
\(995\) | 2.44191 | + | 2.04900i | 0.0774136 | + | 0.0649577i | ||||
\(996\) | 0.225849 | − | 3.20597i | 0.00715630 | − | 0.101585i | ||||
\(997\) | 15.4476 | − | 12.9621i | 0.489230 | − | 0.410513i | −0.364520 | − | 0.931195i | \(-0.618767\pi\) |
0.853750 | + | 0.520683i | \(0.174323\pi\) | |||||||
\(998\) | −4.28453 | + | 7.42102i | −0.135624 | + | 0.234908i | ||||
\(999\) | 7.43542 | − | 34.7160i | 0.235246 | − | 1.09836i |
(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 | 189.2.u.a.4.15 | ✓ | 132 | |
3.2 | odd | 2 | 567.2.u.a.550.8 | 132 | |||
7.2 | even | 3 | 189.2.w.a.58.15 | yes | 132 | ||
21.2 | odd | 6 | 567.2.w.a.226.8 | 132 | |||
27.7 | even | 9 | 189.2.w.a.88.15 | yes | 132 | ||
27.20 | odd | 18 | 567.2.w.a.424.8 | 132 | |||
189.128 | odd | 18 | 567.2.u.a.100.8 | 132 | |||
189.142 | even | 9 | inner | 189.2.u.a.142.15 | yes | 132 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
189.2.u.a.4.15 | ✓ | 132 | 1.1 | even | 1 | trivial | |
189.2.u.a.142.15 | yes | 132 | 189.142 | even | 9 | inner | |
189.2.w.a.58.15 | yes | 132 | 7.2 | even | 3 | ||
189.2.w.a.88.15 | yes | 132 | 27.7 | even | 9 | ||
567.2.u.a.100.8 | 132 | 189.128 | odd | 18 | |||
567.2.u.a.550.8 | 132 | 3.2 | odd | 2 | |||
567.2.w.a.226.8 | 132 | 21.2 | odd | 6 | |||
567.2.w.a.424.8 | 132 | 27.20 | odd | 18 |