Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [441,2,Mod(5,441)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(441, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([35, 29]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("441.5");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 441 = 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 441.bn (of order \(42\), degree \(12\), 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: | \(3.52140272914\) |
Analytic rank: | \(0\) |
Dimension: | \(648\) |
Relative dimension: | \(54\) over \(\Q(\zeta_{42})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{42}]$ |
Embedding invariants
Embedding label | 5.3 | ||
Character | \(\chi\) | \(=\) | 441.5 |
Dual form | 441.2.bn.a.353.3 |
$q$-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 \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(344\) |
\(\chi(n)\) | \(e\left(\frac{29}{42}\right)\) | \(e\left(\frac{5}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.01930 | + | 1.61034i | −1.42786 | + | 1.13868i | −0.459786 | + | 0.888030i | \(0.652074\pi\) |
−0.968077 | + | 0.250653i | \(0.919355\pi\) | |||||||
\(3\) | 0.161619 | + | 1.72449i | 0.0933107 | + | 0.995637i | ||||
\(4\) | 1.03935 | − | 4.55368i | 0.519673 | − | 2.27684i | ||||
\(5\) | 0.846045 | + | 0.576824i | 0.378363 | + | 0.257963i | 0.737536 | − | 0.675307i | \(-0.235989\pi\) |
−0.359174 | + | 0.933271i | \(0.616941\pi\) | |||||||
\(6\) | −3.10338 | − | 3.22201i | −1.26695 | − | 1.31538i | ||||
\(7\) | −1.90950 | − | 1.83134i | −0.721724 | − | 0.692181i | ||||
\(8\) | 2.99296 | + | 6.21494i | 1.05817 | + | 2.19731i | ||||
\(9\) | −2.94776 | + | 0.557422i | −0.982586 | + | 0.185807i | ||||
\(10\) | −2.63730 | + | 0.197639i | −0.833989 | + | 0.0624988i | ||||
\(11\) | −0.313064 | − | 2.07704i | −0.0943924 | − | 0.626253i | −0.985140 | − | 0.171754i | \(-0.945057\pi\) |
0.890747 | − | 0.454499i | \(-0.150182\pi\) | |||||||
\(12\) | 8.02077 | + | 1.05639i | 2.31540 | + | 0.304953i | ||||
\(13\) | −0.369197 | − | 2.44946i | −0.102397 | − | 0.679359i | −0.979856 | − | 0.199707i | \(-0.936001\pi\) |
0.877459 | − | 0.479652i | \(-0.159237\pi\) | |||||||
\(14\) | 6.80494 | + | 0.623082i | 1.81870 | + | 0.166526i | ||||
\(15\) | −0.857992 | + | 1.55222i | −0.221533 | + | 0.400783i | ||||
\(16\) | −7.63539 | − | 3.67701i | −1.90885 | − | 0.919253i | ||||
\(17\) | 2.20085 | − | 2.04209i | 0.533785 | − | 0.495280i | −0.366597 | − | 0.930380i | \(-0.619477\pi\) |
0.900382 | + | 0.435100i | \(0.143287\pi\) | |||||||
\(18\) | 5.05478 | − | 5.87250i | 1.19142 | − | 1.38416i | ||||
\(19\) | −4.42780 | − | 2.55639i | −1.01581 | − | 0.586476i | −0.102920 | − | 0.994690i | \(-0.532819\pi\) |
−0.912887 | + | 0.408213i | \(0.866152\pi\) | |||||||
\(20\) | 3.50600 | − | 3.25309i | 0.783966 | − | 0.727414i | ||||
\(21\) | 2.84952 | − | 3.58890i | 0.621817 | − | 0.783163i | ||||
\(22\) | 3.97692 | + | 3.69004i | 0.847882 | + | 0.786720i | ||||
\(23\) | −0.423980 | − | 1.37451i | −0.0884059 | − | 0.286605i | 0.900564 | − | 0.434724i | \(-0.143154\pi\) |
−0.988969 | + | 0.148120i | \(0.952678\pi\) | |||||||
\(24\) | −10.2339 | + | 6.16579i | −2.08899 | + | 1.25859i | ||||
\(25\) | −1.44364 | − | 3.67833i | −0.288728 | − | 0.735666i | ||||
\(26\) | 4.68999 | + | 4.35168i | 0.919783 | + | 0.853434i | ||||
\(27\) | −1.43768 | − | 4.99330i | −0.276682 | − | 0.960961i | ||||
\(28\) | −10.3240 | + | 6.79185i | −1.95105 | + | 1.28354i | ||||
\(29\) | −3.00560 | − | 3.23927i | −0.558126 | − | 0.601517i | 0.389450 | − | 0.921048i | \(-0.372665\pi\) |
−0.947576 | + | 0.319531i | \(0.896475\pi\) | |||||||
\(30\) | −0.767065 | − | 4.51607i | −0.140046 | − | 0.824518i | ||||
\(31\) | − | 6.92810i | − | 1.24432i | −0.782889 | − | 0.622162i | \(-0.786255\pi\) | ||
0.782889 | − | 0.622162i | \(-0.213745\pi\) | |||||||
\(32\) | 7.88919 | − | 1.80066i | 1.39463 | − | 0.318314i | ||||
\(33\) | 3.53125 | − | 0.875567i | 0.614712 | − | 0.152417i | ||||
\(34\) | −1.15572 | + | 7.66772i | −0.198205 | + | 1.31500i | ||||
\(35\) | −0.559164 | − | 2.65084i | −0.0945160 | − | 0.448074i | ||||
\(36\) | −0.525426 | + | 14.0025i | −0.0875711 | + | 2.33375i | ||||
\(37\) | 8.66701 | + | 2.67342i | 1.42485 | + | 0.439507i | 0.908865 | − | 0.417091i | \(-0.136950\pi\) |
0.515983 | + | 0.856599i | \(0.327427\pi\) | |||||||
\(38\) | 13.0577 | − | 1.96814i | 2.11824 | − | 0.319274i | ||||
\(39\) | 4.16442 | − | 1.03256i | 0.666840 | − | 0.165342i | ||||
\(40\) | −1.05275 | + | 6.98452i | −0.166454 | + | 1.10435i | ||||
\(41\) | −0.864467 | + | 11.5355i | −0.135007 | + | 1.80154i | 0.360312 | + | 0.932832i | \(0.382670\pi\) |
−0.495319 | + | 0.868711i | \(0.664949\pi\) | |||||||
\(42\) | 0.0253062 | + | 11.8358i | 0.00390484 | + | 1.82630i | ||||
\(43\) | 0.178340 | + | 2.37978i | 0.0271966 | + | 0.362913i | 0.994154 | + | 0.107974i | \(0.0344364\pi\) |
−0.966957 | + | 0.254939i | \(0.917945\pi\) | |||||||
\(44\) | −9.78357 | − | 0.733177i | −1.47493 | − | 0.110531i | ||||
\(45\) | −2.81547 | − | 1.22873i | −0.419705 | − | 0.183169i | ||||
\(46\) | 3.06957 | + | 2.09280i | 0.452583 | + | 0.308566i | ||||
\(47\) | 3.35857 | + | 4.21151i | 0.489898 | + | 0.614312i | 0.963917 | − | 0.266202i | \(-0.0857688\pi\) |
−0.474019 | + | 0.880514i | \(0.657197\pi\) | |||||||
\(48\) | 5.10696 | − | 13.7615i | 0.737126 | − | 1.98630i | ||||
\(49\) | 0.292392 | + | 6.99389i | 0.0417702 | + | 0.999127i | ||||
\(50\) | 8.83851 | + | 5.10292i | 1.24995 | + | 0.721661i | ||||
\(51\) | 3.87727 | + | 3.46531i | 0.542927 | + | 0.485241i | ||||
\(52\) | −11.5378 | − | 0.864638i | −1.60000 | − | 0.119904i | ||||
\(53\) | −0.856421 | − | 2.77645i | −0.117638 | − | 0.381375i | 0.877534 | − | 0.479514i | \(-0.159187\pi\) |
−0.995173 | + | 0.0981395i | \(0.968711\pi\) | |||||||
\(54\) | 10.9440 | + | 7.76783i | 1.48929 | + | 1.05707i | ||||
\(55\) | 0.933222 | − | 1.93786i | 0.125836 | − | 0.261300i | ||||
\(56\) | 5.66661 | − | 17.3486i | 0.757232 | − | 2.31830i | ||||
\(57\) | 3.69286 | − | 8.04887i | 0.489132 | − | 1.06610i | ||||
\(58\) | 11.2855 | + | 1.70102i | 1.48186 | + | 0.223355i | ||||
\(59\) | −13.6469 | − | 6.57202i | −1.77668 | − | 0.855604i | −0.960731 | − | 0.277481i | \(-0.910501\pi\) |
−0.815949 | − | 0.578123i | \(-0.803785\pi\) | |||||||
\(60\) | 6.17658 | + | 5.52032i | 0.797393 | + | 0.712670i | ||||
\(61\) | −6.25986 | + | 1.42877i | −0.801492 | + | 0.182935i | −0.603599 | − | 0.797288i | \(-0.706267\pi\) |
−0.197894 | + | 0.980224i | \(0.563410\pi\) | |||||||
\(62\) | 11.1566 | + | 13.9899i | 1.41689 | + | 1.77672i | ||||
\(63\) | 6.64958 | + | 4.33395i | 0.837768 | + | 0.546026i | ||||
\(64\) | −2.46329 | + | 3.08887i | −0.307911 | + | 0.386108i | ||||
\(65\) | 1.10055 | − | 2.28532i | 0.136507 | − | 0.283459i | ||||
\(66\) | −5.72071 | + | 7.45456i | −0.704171 | + | 0.917593i | ||||
\(67\) | 8.80844 | 1.07612 | 0.538061 | − | 0.842906i | \(-0.319157\pi\) | ||||
0.538061 | + | 0.842906i | \(0.319157\pi\) | |||||||
\(68\) | −7.01158 | − | 12.1444i | −0.850278 | − | 1.47273i | ||||
\(69\) | 2.30181 | − | 0.953297i | 0.277105 | − | 0.114763i | ||||
\(70\) | 5.39788 | + | 4.45241i | 0.645170 | + | 0.532164i | ||||
\(71\) | 7.09352 | + | 1.61905i | 0.841846 | + | 0.192146i | 0.621636 | − | 0.783307i | \(-0.286468\pi\) |
0.220210 | + | 0.975452i | \(0.429326\pi\) | |||||||
\(72\) | −12.2869 | − | 16.6518i | −1.44802 | − | 1.96243i | ||||
\(73\) | 0.706526 | − | 4.68749i | 0.0826926 | − | 0.548629i | −0.908674 | − | 0.417507i | \(-0.862904\pi\) |
0.991366 | − | 0.131122i | \(-0.0418580\pi\) | |||||||
\(74\) | −21.8064 | + | 8.55840i | −2.53495 | + | 0.994893i | ||||
\(75\) | 6.10994 | − | 3.08403i | 0.705515 | − | 0.356114i | ||||
\(76\) | −16.2430 | + | 17.5058i | −1.86320 | + | 2.00805i | ||||
\(77\) | −3.20598 | + | 4.53945i | −0.365355 | + | 0.517318i | ||||
\(78\) | −6.74645 | + | 8.79118i | −0.763885 | + | 0.995405i | ||||
\(79\) | −16.0740 | −1.80846 | −0.904232 | − | 0.427042i | \(-0.859556\pi\) | ||||
−0.904232 | + | 0.427042i | \(0.859556\pi\) | |||||||
\(80\) | −4.33890 | − | 7.51519i | −0.485103 | − | 0.840224i | ||||
\(81\) | 8.37856 | − | 3.28629i | 0.930951 | − | 0.365143i | ||||
\(82\) | −16.8305 | − | 24.6858i | −1.85861 | − | 2.72609i | ||||
\(83\) | −0.258688 | − | 0.0389909i | −0.0283947 | − | 0.00427981i | 0.134830 | − | 0.990869i | \(-0.456951\pi\) |
−0.163224 | + | 0.986589i | \(0.552189\pi\) | |||||||
\(84\) | −13.3811 | − | 16.7059i | −1.45999 | − | 1.82277i | ||||
\(85\) | 3.03995 | − | 0.458198i | 0.329728 | − | 0.0496986i | ||||
\(86\) | −4.19238 | − | 4.51831i | −0.452076 | − | 0.487222i | ||||
\(87\) | 5.10033 | − | 5.70667i | 0.546813 | − | 0.611819i | ||||
\(88\) | 11.9717 | − | 8.16218i | 1.27619 | − | 0.870091i | ||||
\(89\) | −2.86518 | − | 7.30037i | −0.303709 | − | 0.773838i | −0.998507 | − | 0.0546325i | \(-0.982601\pi\) |
0.694798 | − | 0.719205i | \(-0.255494\pi\) | |||||||
\(90\) | 7.66397 | − | 2.05268i | 0.807853 | − | 0.216372i | ||||
\(91\) | −3.78082 | + | 5.35338i | −0.396337 | + | 0.561187i | ||||
\(92\) | −6.69973 | + | 0.502075i | −0.698495 | + | 0.0523449i | ||||
\(93\) | 11.9475 | − | 1.11971i | 1.23889 | − | 0.116109i | ||||
\(94\) | −13.5639 | − | 3.09588i | −1.39901 | − | 0.319316i | ||||
\(95\) | −2.27153 | − | 4.71688i | −0.233054 | − | 0.483942i | ||||
\(96\) | 4.38026 | + | 13.3138i | 0.447059 | + | 1.35884i | ||||
\(97\) | 0.105546 | − | 0.0609371i | 0.0107166 | − | 0.00618722i | −0.494632 | − | 0.869102i | \(-0.664697\pi\) |
0.505349 | + | 0.862915i | \(0.331364\pi\) | |||||||
\(98\) | −11.8530 | − | 13.6519i | −1.19733 | − | 1.37905i | ||||
\(99\) | 2.08063 | + | 5.94812i | 0.209111 | + | 0.597808i | ||||
\(100\) | −18.2504 | + | 2.75080i | −1.82504 | + | 0.275080i | ||||
\(101\) | −0.380253 | + | 5.07412i | −0.0378366 | + | 0.504894i | 0.945802 | + | 0.324743i | \(0.105278\pi\) |
−0.983639 | + | 0.180151i | \(0.942341\pi\) | |||||||
\(102\) | −13.4097 | − | 0.753789i | −1.32776 | − | 0.0746362i | ||||
\(103\) | 7.31059 | − | 10.7227i | 0.720334 | − | 1.05654i | −0.275131 | − | 0.961407i | \(-0.588721\pi\) |
0.995465 | − | 0.0951290i | \(-0.0303264\pi\) | |||||||
\(104\) | 14.1183 | − | 9.62567i | 1.38441 | − | 0.943875i | ||||
\(105\) | 4.48099 | − | 1.39270i | 0.437300 | − | 0.135914i | ||||
\(106\) | 6.20040 | + | 4.22736i | 0.602236 | + | 0.410598i | ||||
\(107\) | 0.390851 | − | 0.153398i | 0.0377850 | − | 0.0148295i | −0.346373 | − | 0.938097i | \(-0.612587\pi\) |
0.384158 | + | 0.923267i | \(0.374492\pi\) | |||||||
\(108\) | −24.2321 | + | 1.35697i | −2.33174 | + | 0.130575i | ||||
\(109\) | 4.29435 | − | 10.9418i | 0.411325 | − | 1.04804i | −0.563708 | − | 0.825974i | \(-0.690626\pi\) |
0.975032 | − | 0.222063i | \(-0.0712792\pi\) | |||||||
\(110\) | 1.23615 | + | 5.41592i | 0.117862 | + | 0.516388i | ||||
\(111\) | −3.20954 | + | 15.3783i | −0.304636 | + | 1.45964i | ||||
\(112\) | 7.84594 | + | 21.0043i | 0.741371 | + | 1.98472i | ||||
\(113\) | −14.7601 | + | 5.79290i | −1.38851 | + | 0.544950i | −0.937630 | − | 0.347634i | \(-0.886985\pi\) |
−0.450880 | + | 0.892584i | \(0.648890\pi\) | |||||||
\(114\) | 5.50441 | + | 22.1999i | 0.515536 | + | 2.07921i | ||||
\(115\) | 0.434143 | − | 1.40746i | 0.0404840 | − | 0.131246i | ||||
\(116\) | −17.8744 | + | 10.3198i | −1.65960 | + | 0.958170i | ||||
\(117\) | 2.45369 | + | 7.01463i | 0.226844 | + | 0.648503i | ||||
\(118\) | 38.1405 | − | 8.70532i | 3.51112 | − | 0.801390i | ||||
\(119\) | −7.94229 | − | 0.131129i | −0.728069 | − | 0.0120206i | ||||
\(120\) | −12.2149 | − | 0.686626i | −1.11506 | − | 0.0626801i | ||||
\(121\) | 6.29519 | − | 1.94181i | 0.572290 | − | 0.176528i | ||||
\(122\) | 10.3397 | − | 12.9656i | 0.936116 | − | 1.17385i | ||||
\(123\) | −20.0326 | + | 0.373588i | −1.80628 | + | 0.0336853i | ||||
\(124\) | −31.5483 | − | 7.20070i | −2.83312 | − | 0.646642i | ||||
\(125\) | 2.03964 | − | 8.93625i | 0.182431 | − | 0.799282i | ||||
\(126\) | −20.4066 | + | 1.95653i | −1.81797 | + | 0.174301i | ||||
\(127\) | −4.71838 | − | 20.6726i | −0.418689 | − | 1.83439i | −0.539850 | − | 0.841762i | \(-0.681519\pi\) |
0.121161 | − | 0.992633i | \(-0.461338\pi\) | |||||||
\(128\) | 5.98006i | 0.528568i | ||||||||
\(129\) | −4.07510 | + | 0.692164i | −0.358792 | + | 0.0609416i | ||||
\(130\) | 1.45779 | + | 6.38701i | 0.127857 | + | 0.560178i | ||||
\(131\) | 0.453324 | + | 6.04919i | 0.0396071 | + | 0.528520i | 0.981355 | + | 0.192202i | \(0.0615628\pi\) |
−0.941748 | + | 0.336319i | \(0.890818\pi\) | |||||||
\(132\) | −0.316850 | − | 16.9902i | −0.0275783 | − | 1.47881i | ||||
\(133\) | 3.77327 | + | 12.9902i | 0.327184 | + | 1.12640i | ||||
\(134\) | −17.7869 | + | 14.1846i | −1.53655 | + | 1.22536i | ||||
\(135\) | 1.66391 | − | 5.05385i | 0.143207 | − | 0.434966i | ||||
\(136\) | 19.2785 | + | 7.56626i | 1.65312 | + | 0.648802i | ||||
\(137\) | −0.296230 | − | 0.434490i | −0.0253087 | − | 0.0371210i | 0.813376 | − | 0.581738i | \(-0.197627\pi\) |
−0.838685 | + | 0.544617i | \(0.816675\pi\) | |||||||
\(138\) | −3.11292 | + | 5.63169i | −0.264989 | + | 0.479401i | ||||
\(139\) | 2.31360 | + | 0.173381i | 0.196237 | + | 0.0147060i | 0.172486 | − | 0.985012i | \(-0.444820\pi\) |
0.0237512 | + | 0.999718i | \(0.492439\pi\) | |||||||
\(140\) | −12.6522 | − | 0.208891i | −1.06931 | − | 0.0176545i | ||||
\(141\) | −6.71992 | + | 6.47249i | −0.565919 | + | 0.545082i | ||||
\(142\) | −16.9312 | + | 8.15363i | −1.42083 | + | 0.684238i | ||||
\(143\) | −4.97206 | + | 1.53368i | −0.415785 | + | 0.128253i | ||||
\(144\) | 24.5569 | + | 6.58281i | 2.04641 | + | 0.548567i | ||||
\(145\) | −0.674387 | − | 4.47427i | −0.0560048 | − | 0.371568i | ||||
\(146\) | 6.12177 | + | 10.6032i | 0.506641 | + | 0.877528i | ||||
\(147\) | −12.0137 | + | 1.63457i | −0.990870 | + | 0.134817i | ||||
\(148\) | 21.1819 | − | 36.6882i | 1.74114 | − | 3.01575i | ||||
\(149\) | 8.68745 | + | 3.40957i | 0.711703 | + | 0.279323i | 0.693444 | − | 0.720510i | \(-0.256092\pi\) |
0.0182591 | + | 0.999833i | \(0.494188\pi\) | |||||||
\(150\) | −7.37148 | + | 16.0667i | −0.601879 | + | 1.31184i | ||||
\(151\) | −0.507125 | − | 0.470543i | −0.0412692 | − | 0.0382922i | 0.659269 | − | 0.751908i | \(-0.270866\pi\) |
−0.700538 | + | 0.713615i | \(0.747056\pi\) | |||||||
\(152\) | 2.63560 | − | 35.1697i | 0.213775 | − | 2.85264i | ||||
\(153\) | −5.34927 | + | 7.24639i | −0.432463 | + | 0.585836i | ||||
\(154\) | −0.836214 | − | 14.3292i | −0.0673841 | − | 1.15468i | ||||
\(155\) | 3.99629 | − | 5.86148i | 0.320990 | − | 0.470806i | ||||
\(156\) | −0.373662 | − | 20.0366i | −0.0299169 | − | 1.60421i | ||||
\(157\) | −9.58525 | + | 19.9040i | −0.764986 | + | 1.58851i | 0.0428351 | + | 0.999082i | \(0.486361\pi\) |
−0.807821 | + | 0.589428i | \(0.799353\pi\) | |||||||
\(158\) | 32.4582 | − | 25.8846i | 2.58224 | − | 2.05927i | ||||
\(159\) | 4.64956 | − | 1.92562i | 0.368734 | − | 0.152712i | ||||
\(160\) | 7.71327 | + | 3.02724i | 0.609788 | + | 0.239324i | ||||
\(161\) | −1.70760 | + | 3.40108i | −0.134578 | + | 0.268042i | ||||
\(162\) | −11.6268 | + | 20.1284i | −0.913489 | + | 1.58143i | ||||
\(163\) | 7.03560 | − | 4.79679i | 0.551071 | − | 0.375714i | −0.255538 | − | 0.966799i | \(-0.582253\pi\) |
0.806609 | + | 0.591085i | \(0.201300\pi\) | |||||||
\(164\) | 51.6305 | + | 15.9259i | 4.03166 | + | 1.24360i | ||||
\(165\) | 3.49265 | + | 1.29614i | 0.271902 | + | 0.100905i | ||||
\(166\) | 0.585158 | − | 0.337841i | 0.0454170 | − | 0.0262215i | ||||
\(167\) | −6.83751 | − | 2.10909i | −0.529103 | − | 0.163207i | 0.0186827 | − | 0.999825i | \(-0.494053\pi\) |
−0.547785 | + | 0.836619i | \(0.684529\pi\) | |||||||
\(168\) | 30.8333 | + | 6.96817i | 2.37884 | + | 0.537606i | ||||
\(169\) | 6.55888 | − | 2.02315i | 0.504529 | − | 0.155627i | ||||
\(170\) | −5.40072 | + | 5.82059i | −0.414216 | + | 0.446419i | ||||
\(171\) | 14.4771 | + | 5.06747i | 1.10709 | + | 0.387519i | ||||
\(172\) | 11.0221 | + | 1.66132i | 0.840428 | + | 0.126674i | ||||
\(173\) | 0.979908 | − | 4.29326i | 0.0745011 | − | 0.326410i | −0.923920 | − | 0.382586i | \(-0.875034\pi\) |
0.998421 | + | 0.0561756i | \(0.0178907\pi\) | |||||||
\(174\) | −1.10944 | + | 19.7368i | −0.0841068 | + | 1.49624i | ||||
\(175\) | −3.97964 | + | 9.66757i | −0.300833 | + | 0.730800i | ||||
\(176\) | −5.24695 | + | 17.0102i | −0.395504 | + | 1.28219i | ||||
\(177\) | 9.12781 | − | 24.5962i | 0.686088 | − | 1.84877i | ||||
\(178\) | 17.5418 | + | 10.1277i | 1.31481 | + | 0.759106i | ||||
\(179\) | −13.6666 | − | 14.7291i | −1.02149 | − | 1.10090i | −0.994860 | − | 0.101258i | \(-0.967713\pi\) |
−0.0266289 | − | 0.999645i | \(-0.508477\pi\) | |||||||
\(180\) | −8.52150 | + | 11.5437i | −0.635155 | + | 0.860414i | ||||
\(181\) | 7.72195 | + | 6.15805i | 0.573968 | + | 0.457724i | 0.866951 | − | 0.498394i | \(-0.166077\pi\) |
−0.292983 | + | 0.956118i | \(0.594648\pi\) | |||||||
\(182\) | −0.986150 | − | 16.8985i | −0.0730983 | − | 1.25260i | ||||
\(183\) | −3.47562 | − | 10.5642i | −0.256925 | − | 0.780926i | ||||
\(184\) | 7.27353 | − | 6.74885i | 0.536212 | − | 0.497532i | ||||
\(185\) | 5.79059 | + | 7.26117i | 0.425733 | + | 0.533852i | ||||
\(186\) | −22.3224 | + | 21.5005i | −1.63676 | + | 1.57650i | ||||
\(187\) | −4.93052 | − | 3.93196i | −0.360556 | − | 0.287533i | ||||
\(188\) | 22.6686 | − | 10.9166i | 1.65328 | − | 0.796176i | ||||
\(189\) | −6.39917 | + | 12.1676i | −0.465471 | + | 0.885063i | ||||
\(190\) | 12.1827 | + | 5.86687i | 0.883825 | + | 0.425628i | ||||
\(191\) | −6.69264 | − | 13.8974i | −0.484262 | − | 1.00558i | −0.989758 | − | 0.142752i | \(-0.954405\pi\) |
0.505496 | − | 0.862829i | \(-0.331309\pi\) | |||||||
\(192\) | −5.72484 | − | 3.74871i | −0.413155 | − | 0.270540i | ||||
\(193\) | −5.29395 | + | 2.54943i | −0.381067 | + | 0.183512i | −0.614604 | − | 0.788836i | \(-0.710684\pi\) |
0.233537 | + | 0.972348i | \(0.424970\pi\) | |||||||
\(194\) | −0.115000 | + | 0.293016i | −0.00825653 | + | 0.0210373i | ||||
\(195\) | 4.11889 | + | 1.52854i | 0.294960 | + | 0.109461i | ||||
\(196\) | 32.1518 | + | 5.93762i | 2.29656 | + | 0.424116i | ||||
\(197\) | 15.7106i | 1.11933i | 0.828717 | + | 0.559667i | \(0.189071\pi\) | ||||
−0.828717 | + | 0.559667i | \(0.810929\pi\) | |||||||
\(198\) | −13.7799 | − | 8.66054i | −0.979296 | − | 0.615478i | ||||
\(199\) | −6.64626 | + | 9.74827i | −0.471141 | + | 0.691036i | −0.986095 | − | 0.166181i | \(-0.946856\pi\) |
0.514955 | + | 0.857217i | \(0.327809\pi\) | |||||||
\(200\) | 18.5399 | − | 19.9812i | 1.31097 | − | 1.41288i | ||||
\(201\) | 1.42361 | + | 15.1901i | 0.100414 | + | 1.07143i | ||||
\(202\) | −7.40322 | − | 10.8585i | −0.520889 | − | 0.764003i | ||||
\(203\) | −0.192999 | + | 11.6897i | −0.0135459 | + | 0.820453i | ||||
\(204\) | 19.8098 | − | 14.0542i | 1.38696 | − | 0.983990i | ||||
\(205\) | −7.38533 | + | 9.26091i | −0.515814 | + | 0.646810i | ||||
\(206\) | 2.50485 | + | 33.4249i | 0.174521 | + | 2.32882i | ||||
\(207\) | 2.01597 | + | 3.81538i | 0.140120 | + | 0.265187i | ||||
\(208\) | −6.18774 | + | 20.0602i | −0.429043 | + | 1.39092i | ||||
\(209\) | −3.92355 | + | 9.99705i | −0.271398 | + | 0.691510i | ||||
\(210\) | −6.80575 | + | 10.0282i | −0.469641 | + | 0.692012i | ||||
\(211\) | −7.58797 | − | 19.3338i | −0.522377 | − | 1.33100i | −0.912064 | − | 0.410048i | \(-0.865512\pi\) |
0.389686 | − | 0.920948i | \(-0.372583\pi\) | |||||||
\(212\) | −13.5332 | + | 1.01417i | −0.929462 | + | 0.0696535i | ||||
\(213\) | −1.64559 | + | 12.4944i | −0.112754 | + | 0.856102i | ||||
\(214\) | −0.542224 | + | 0.939159i | −0.0370656 | + | 0.0641996i | ||||
\(215\) | −1.22183 | + | 2.11627i | −0.0833282 | + | 0.144329i | ||||
\(216\) | 26.7301 | − | 23.8798i | 1.81876 | − | 1.62482i | ||||
\(217\) | −12.6877 | + | 13.2292i | −0.861297 | + | 0.898058i | ||||
\(218\) | 8.94848 | + | 29.0103i | 0.606067 | + | 1.96482i | ||||
\(219\) | 8.19774 | + | 0.460812i | 0.553952 | + | 0.0311388i | ||||
\(220\) | −7.85443 | − | 6.26370i | −0.529545 | − | 0.422298i | ||||
\(221\) | −5.81458 | − | 4.63697i | −0.391131 | − | 0.311916i | ||||
\(222\) | −18.2832 | − | 36.2219i | −1.22709 | − | 2.43105i | ||||
\(223\) | 3.84243 | + | 12.4569i | 0.257308 | + | 0.834172i | 0.988397 | + | 0.151891i | \(0.0485361\pi\) |
−0.731089 | + | 0.682282i | \(0.760988\pi\) | |||||||
\(224\) | −18.3620 | − | 11.0094i | −1.22687 | − | 0.735599i | ||||
\(225\) | 6.30588 | + | 10.0381i | 0.420392 | + | 0.669208i | ||||
\(226\) | 20.4765 | − | 35.4664i | 1.36208 | − | 2.35919i | ||||
\(227\) | 4.62039 | − | 8.00274i | 0.306666 | − | 0.531161i | −0.670965 | − | 0.741489i | \(-0.734120\pi\) |
0.977631 | + | 0.210328i | \(0.0674533\pi\) | |||||||
\(228\) | −32.8138 | − | 25.1817i | −2.17315 | − | 1.66770i | ||||
\(229\) | 18.4999 | − | 1.38638i | 1.22251 | − | 0.0916143i | 0.552209 | − | 0.833706i | \(-0.313785\pi\) |
0.670299 | + | 0.742091i | \(0.266166\pi\) | |||||||
\(230\) | 1.38982 | + | 3.54120i | 0.0916419 | + | 0.233500i | ||||
\(231\) | −8.34640 | − | 4.79503i | −0.549153 | − | 0.315490i | ||||
\(232\) | 11.1362 | − | 28.3746i | 0.731128 | − | 1.86288i | ||||
\(233\) | 2.42476 | − | 7.86088i | 0.158851 | − | 0.514984i | −0.840801 | − | 0.541344i | \(-0.817916\pi\) |
0.999652 | + | 0.0263606i | \(0.00839181\pi\) | |||||||
\(234\) | −16.2507 | − | 10.2134i | −1.06234 | − | 0.667670i | ||||
\(235\) | 0.412200 | + | 5.50043i | 0.0268890 | + | 0.358809i | ||||
\(236\) | −44.1108 | + | 55.3131i | −2.87137 | + | 3.60058i | ||||
\(237\) | −2.59786 | − | 27.7195i | −0.168749 | − | 1.80057i | ||||
\(238\) | 16.2491 | − | 12.5250i | 1.05327 | − | 0.811876i | ||||
\(239\) | −8.27840 | − | 12.1422i | −0.535485 | − | 0.785412i | 0.459205 | − | 0.888330i | \(-0.348134\pi\) |
−0.994690 | + | 0.102918i | \(0.967182\pi\) | |||||||
\(240\) | 12.2587 | − | 8.69700i | 0.791293 | − | 0.561389i | ||||
\(241\) | 10.0349 | − | 10.8150i | 0.646403 | − | 0.696656i | −0.321804 | − | 0.946806i | \(-0.604289\pi\) |
0.968207 | + | 0.250150i | \(0.0804798\pi\) | |||||||
\(242\) | −9.58493 | + | 14.0585i | −0.616143 | + | 0.903715i | ||||
\(243\) | 7.02132 | + | 13.9177i | 0.450418 | + | 0.892818i | ||||
\(244\) | 29.9904i | 1.91994i | ||||||||
\(245\) | −3.78686 | + | 6.08580i | −0.241934 | + | 0.388808i | ||||
\(246\) | 39.8503 | − | 33.0137i | 2.54076 | − | 2.10488i | ||||
\(247\) | −4.62705 | + | 11.7895i | −0.294412 | + | 0.750151i | ||||
\(248\) | 43.0577 | − | 20.7355i | 2.73417 | − | 1.31671i | ||||
\(249\) | 0.0254307 | − | 0.452407i | 0.00161161 | − | 0.0286701i | ||||
\(250\) | 10.2718 | + | 21.3295i | 0.649643 | + | 1.34900i | ||||
\(251\) | −0.457089 | − | 0.220123i | −0.0288512 | − | 0.0138940i | 0.419403 | − | 0.907800i | \(-0.362240\pi\) |
−0.448254 | + | 0.893906i | \(0.647954\pi\) | |||||||
\(252\) | 26.6466 | − | 25.7755i | 1.67858 | − | 1.62371i | ||||
\(253\) | −2.72218 | + | 1.31093i | −0.171142 | + | 0.0824177i | ||||
\(254\) | 42.8177 | + | 34.1460i | 2.68662 | + | 2.14251i | ||||
\(255\) | 1.28147 | + | 5.16831i | 0.0802489 | + | 0.323652i | ||||
\(256\) | −14.5565 | − | 18.2533i | −0.909782 | − | 1.14083i | ||||
\(257\) | 13.5093 | − | 12.5348i | 0.842688 | − | 0.781900i | −0.135247 | − | 0.990812i | \(-0.543183\pi\) |
0.977934 | + | 0.208912i | \(0.0669923\pi\) | |||||||
\(258\) | 7.11424 | − | 7.95998i | 0.442913 | − | 0.495567i | ||||
\(259\) | −11.6537 | − | 20.9771i | −0.724128 | − | 1.30346i | ||||
\(260\) | −9.26274 | − | 7.38679i | −0.574451 | − | 0.458109i | ||||
\(261\) | 10.6654 | + | 7.87319i | 0.660173 | + | 0.487338i | ||||
\(262\) | −10.6567 | − | 11.4851i | −0.658371 | − | 0.709555i | ||||
\(263\) | −13.6332 | − | 7.87110i | −0.840656 | − | 0.485353i | 0.0168310 | − | 0.999858i | \(-0.494642\pi\) |
−0.857487 | + | 0.514505i | \(0.827976\pi\) | |||||||
\(264\) | 16.0105 | + | 19.3260i | 0.985377 | + | 1.18943i | ||||
\(265\) | 0.876951 | − | 2.84300i | 0.0538707 | − | 0.174644i | ||||
\(266\) | −28.5381 | − | 20.1550i | −1.74978 | − | 1.23578i | ||||
\(267\) | 12.1264 | − | 6.12087i | 0.742122 | − | 0.374591i | ||||
\(268\) | 9.15502 | − | 40.1108i | 0.559232 | − | 2.45016i | ||||
\(269\) | −8.71926 | − | 1.31422i | −0.531623 | − | 0.0801292i | −0.122255 | − | 0.992499i | \(-0.539013\pi\) |
−0.409368 | + | 0.912370i | \(0.634251\pi\) | |||||||
\(270\) | 4.77848 | + | 12.8847i | 0.290809 | + | 0.784139i | ||||
\(271\) | −14.1243 | + | 15.2224i | −0.857991 | + | 0.924694i | −0.997854 | − | 0.0654768i | \(-0.979143\pi\) |
0.139863 | + | 0.990171i | \(0.455334\pi\) | |||||||
\(272\) | −24.3132 | + | 7.49962i | −1.47420 | + | 0.454731i | ||||
\(273\) | −9.84292 | − | 5.65479i | −0.595721 | − | 0.342243i | ||||
\(274\) | 1.29786 | + | 0.400336i | 0.0784064 | + | 0.0241852i | ||||
\(275\) | −7.18811 | + | 4.15006i | −0.433459 | + | 0.250258i | ||||
\(276\) | −1.94863 | − | 11.4725i | −0.117294 | − | 0.690563i | ||||
\(277\) | 18.3325 | + | 5.65484i | 1.10149 | + | 0.339766i | 0.791622 | − | 0.611012i | \(-0.209237\pi\) |
0.309873 | + | 0.950778i | \(0.399713\pi\) | |||||||
\(278\) | −4.95107 | + | 3.37558i | −0.296945 | + | 0.202454i | ||||
\(279\) | 3.86187 | + | 20.4224i | 0.231204 | + | 1.22266i | ||||
\(280\) | 14.8013 | − | 11.4090i | 0.884544 | − | 0.681819i | ||||
\(281\) | −26.1801 | − | 10.2749i | −1.56178 | − | 0.612952i | −0.582024 | − | 0.813171i | \(-0.697739\pi\) |
−0.979751 | + | 0.200220i | \(0.935834\pi\) | |||||||
\(282\) | 3.14664 | − | 23.8913i | 0.187380 | − | 1.42271i | ||||
\(283\) | −3.51855 | + | 2.80595i | −0.209156 | + | 0.166797i | −0.722465 | − | 0.691407i | \(-0.756991\pi\) |
0.513309 | + | 0.858204i | \(0.328420\pi\) | |||||||
\(284\) | 14.7453 | − | 30.6188i | 0.874970 | − | 1.81689i | ||||
\(285\) | 7.76711 | − | 4.67958i | 0.460084 | − | 0.277194i | ||||
\(286\) | 7.57036 | − | 11.1037i | 0.447645 | − | 0.656574i | ||||
\(287\) | 22.7761 | − | 20.4439i | 1.34443 | − | 1.20677i | ||||
\(288\) | −22.2517 | + | 9.70551i | −1.31119 | + | 0.571902i | ||||
\(289\) | −0.596803 | + | 7.96379i | −0.0351061 | + | 0.468458i | ||||
\(290\) | 8.56688 | + | 7.94891i | 0.503065 | + | 0.466776i | ||||
\(291\) | 0.122144 | + | 0.172165i | 0.00716020 | + | 0.0100925i | ||||
\(292\) | −20.6110 | − | 8.08922i | −1.20617 | − | 0.473386i | ||||
\(293\) | −7.99862 | + | 13.8540i | −0.467284 | + | 0.809360i | −0.999301 | − | 0.0373735i | \(-0.988101\pi\) |
0.532017 | + | 0.846734i | \(0.321434\pi\) | |||||||
\(294\) | 21.6270 | − | 22.6468i | 1.26131 | − | 1.32079i | ||||
\(295\) | −7.75503 | − | 13.4321i | −0.451515 | − | 0.782047i | ||||
\(296\) | 9.32485 | + | 61.8664i | 0.541996 | + | 3.59591i | ||||
\(297\) | −9.92123 | + | 4.54936i | −0.575688 | + | 0.263980i | ||||
\(298\) | −23.0332 | + | 7.10479i | −1.33427 | + | 0.411569i | ||||
\(299\) | −3.21028 | + | 1.54599i | −0.185655 | + | 0.0894067i | ||||
\(300\) | −7.69335 | − | 31.0281i | −0.444175 | − | 1.79141i | ||||
\(301\) | 4.01765 | − | 4.87080i | 0.231573 | − | 0.280748i | ||||
\(302\) | 1.78177 | + | 0.133525i | 0.102529 | + | 0.00768352i | ||||
\(303\) | −8.81175 | + | 0.164330i | −0.506222 | + | 0.00944052i | ||||
\(304\) | 24.4081 | + | 35.8001i | 1.39990 | + | 2.05328i | ||||
\(305\) | −6.12027 | − | 2.40203i | −0.350446 | − | 0.137540i | ||||
\(306\) | −0.867361 | − | 23.2468i | −0.0495837 | − | 1.32893i | ||||
\(307\) | −11.2037 | + | 8.93468i | −0.639431 | + | 0.509929i | −0.888690 | − | 0.458508i | \(-0.848384\pi\) |
0.249260 | + | 0.968437i | \(0.419813\pi\) | |||||||
\(308\) | 17.3390 | + | 19.3170i | 0.987984 | + | 1.10069i | ||||
\(309\) | 19.6727 | + | 10.8741i | 1.11914 | + | 0.618605i | ||||
\(310\) | 1.36926 | + | 18.2715i | 0.0777687 | + | 1.03775i | ||||
\(311\) | 4.93143 | + | 21.6060i | 0.279636 | + | 1.22516i | 0.898256 | + | 0.439473i | \(0.144835\pi\) |
−0.618620 | + | 0.785690i | \(0.712308\pi\) | |||||||
\(312\) | 18.8812 | + | 22.7912i | 1.06894 | + | 1.29030i | ||||
\(313\) | 16.5150i | 0.933484i | 0.884393 | + | 0.466742i | \(0.154572\pi\) | ||||
−0.884393 | + | 0.466742i | \(0.845428\pi\) | |||||||
\(314\) | −12.6967 | − | 55.6277i | −0.716514 | − | 3.13925i | ||||
\(315\) | 3.12592 | + | 7.50235i | 0.176125 | + | 0.422709i | ||||
\(316\) | −16.7064 | + | 73.1957i | −0.939811 | + | 4.11758i | ||||
\(317\) | 22.3515 | + | 5.10159i | 1.25539 | + | 0.286534i | 0.797958 | − | 0.602713i | \(-0.205914\pi\) |
0.457428 | + | 0.889247i | \(0.348771\pi\) | |||||||
\(318\) | −6.28796 | + | 11.3758i | −0.352611 | + | 0.637922i | ||||
\(319\) | −5.78716 | + | 7.25687i | −0.324019 | + | 0.406306i | ||||
\(320\) | −3.86578 | + | 1.19244i | −0.216104 | + | 0.0666592i | ||||
\(321\) | 0.327702 | + | 0.649228i | 0.0182905 | + | 0.0362364i | ||||
\(322\) | −2.02873 | − | 9.61762i | −0.113056 | − | 0.535969i | ||||
\(323\) | −14.9653 | + | 3.41573i | −0.832692 | + | 0.190057i | ||||
\(324\) | −6.25646 | − | 41.5689i | −0.347581 | − | 2.30938i | ||||
\(325\) | −8.47695 | + | 4.89417i | −0.470217 | + | 0.271480i | ||||
\(326\) | −6.48255 | + | 21.0159i | −0.359035 | + | 1.16396i | ||||
\(327\) | 19.5632 | + | 5.63718i | 1.08185 | + | 0.311737i | ||||
\(328\) | −74.2797 | + | 29.1527i | −4.10141 | + | 1.60969i | ||||
\(329\) | 1.29952 | − | 14.1926i | 0.0716447 | − | 0.782462i | ||||
\(330\) | −9.13994 | + | 3.00705i | −0.503137 | + | 0.165533i | ||||
\(331\) | 7.39151 | + | 32.3843i | 0.406274 | + | 1.78000i | 0.601110 | + | 0.799166i | \(0.294725\pi\) |
−0.194836 | + | 0.980836i | \(0.562417\pi\) | |||||||
\(332\) | −0.446418 | + | 1.13745i | −0.0245004 | + | 0.0624260i | ||||
\(333\) | −27.0385 | − | 3.04941i | −1.48170 | − | 0.167107i | ||||
\(334\) | 17.2034 | − | 6.75183i | 0.941327 | − | 0.369444i | ||||
\(335\) | 7.45233 | + | 5.08091i | 0.407164 | + | 0.277600i | ||||
\(336\) | −34.9537 | + | 16.9250i | −1.90688 | + | 0.923332i | ||||
\(337\) | −11.1769 | + | 7.62028i | −0.608844 | + | 0.415103i | −0.828113 | − | 0.560562i | \(-0.810585\pi\) |
0.219269 | + | 0.975665i | \(0.429633\pi\) | |||||||
\(338\) | −9.98641 | + | 14.6474i | −0.543189 | + | 0.796712i | ||||
\(339\) | −12.3753 | − | 24.5174i | −0.672136 | − | 1.33160i | ||||
\(340\) | 1.07307 | − | 14.3192i | 0.0581955 | − | 0.776565i | ||||
\(341\) | −14.3900 | + | 2.16894i | −0.779261 | + | 0.117455i | ||||
\(342\) | −37.3939 | + | 13.0802i | −2.02203 | + | 0.707299i | ||||
\(343\) | 12.2499 | − | 13.8903i | 0.661431 | − | 0.750006i | ||||
\(344\) | −14.2564 | + | 8.23096i | −0.768655 | + | 0.443783i | ||||
\(345\) | 2.49732 | + | 0.521205i | 0.134451 | + | 0.0280607i | ||||
\(346\) | 4.93488 | + | 10.2474i | 0.265301 | + | 0.550903i | ||||
\(347\) | 22.9138 | + | 5.22993i | 1.23008 | + | 0.280757i | 0.787693 | − | 0.616068i | \(-0.211275\pi\) |
0.442385 | + | 0.896825i | \(0.354132\pi\) | |||||||
\(348\) | −20.6853 | − | 29.1565i | −1.10885 | − | 1.56295i | ||||
\(349\) | 5.61998 | − | 0.421159i | 0.300831 | − | 0.0225441i | 0.0765402 | − | 0.997066i | \(-0.475613\pi\) |
0.224290 | + | 0.974522i | \(0.427994\pi\) | |||||||
\(350\) | −7.53198 | − | 25.9303i | −0.402601 | − | 1.38604i | ||||
\(351\) | −11.7001 | + | 5.36507i | −0.624506 | + | 0.286366i | ||||
\(352\) | −6.20987 | − | 15.8225i | −0.330987 | − | 0.843341i | ||||
\(353\) | −5.51779 | + | 3.76196i | −0.293682 | + | 0.200229i | −0.701193 | − | 0.712971i | \(-0.747349\pi\) |
0.407511 | + | 0.913200i | \(0.366397\pi\) | |||||||
\(354\) | 21.1765 | + | 64.3661i | 1.12552 | + | 3.42102i | ||||
\(355\) | 5.06753 | + | 5.46150i | 0.268957 | + | 0.289866i | ||||
\(356\) | −36.2215 | + | 5.45951i | −1.91973 | + | 0.289353i | ||||
\(357\) | −1.05749 | − | 13.7176i | −0.0559685 | − | 0.726014i | ||||
\(358\) | 51.3158 | + | 7.73462i | 2.71213 | + | 0.408787i | ||||
\(359\) | 14.8966 | + | 21.8492i | 0.786210 | + | 1.15316i | 0.984905 | + | 0.173097i | \(0.0553775\pi\) |
−0.198695 | + | 0.980061i | \(0.563670\pi\) | |||||||
\(360\) | −0.790078 | − | 21.1755i | −0.0416408 | − | 1.11605i | ||||
\(361\) | 3.57027 | + | 6.18388i | 0.187909 | + | 0.325467i | ||||
\(362\) | −25.5095 | −1.34075 | ||||||||
\(363\) | 4.36606 | + | 10.5422i | 0.229159 | + | 0.553322i | ||||
\(364\) | 20.4480 | + | 22.7806i | 1.07177 | + | 1.19403i | ||||
\(365\) | 3.30161 | − | 3.55829i | 0.172814 | − | 0.186249i | ||||
\(366\) | 24.0302 | + | 15.7353i | 1.25608 | + | 0.822499i | ||||
\(367\) | −23.1883 | + | 9.10074i | −1.21042 | + | 0.475055i | −0.882797 | − | 0.469754i | \(-0.844343\pi\) |
−0.327623 | + | 0.944809i | \(0.606247\pi\) | |||||||
\(368\) | −1.81683 | + | 12.0539i | −0.0947089 | + | 0.628352i | ||||
\(369\) | −3.88190 | − | 34.4858i | −0.202084 | − | 1.79526i | ||||
\(370\) | −23.3859 | − | 5.33768i | −1.21578 | − | 0.277493i | ||||
\(371\) | −3.44928 | + | 6.87003i | −0.179078 | + | 0.356674i | ||||
\(372\) | 7.31876 | − | 55.5687i | 0.379460 | − | 2.88110i | ||||
\(373\) | 2.73693 | + | 4.74050i | 0.141713 | + | 0.245454i | 0.928142 | − | 0.372227i | \(-0.121406\pi\) |
−0.786429 | + | 0.617681i | \(0.788072\pi\) | |||||||
\(374\) | 16.2880 | 0.842233 | ||||||||
\(375\) | 15.7402 | + | 2.07308i | 0.812818 | + | 0.107053i | ||||
\(376\) | −16.1222 | + | 33.4782i | −0.831441 | + | 1.72651i | ||||
\(377\) | −6.82481 | + | 8.55804i | −0.351495 | + | 0.440761i | ||||
\(378\) | −6.67212 | − | 34.8749i | −0.343177 | − | 1.79377i | ||||
\(379\) | −21.6018 | − | 27.0877i | −1.10961 | − | 1.39140i | −0.911538 | − | 0.411216i | \(-0.865104\pi\) |
−0.198069 | − | 0.980188i | \(-0.563467\pi\) | |||||||
\(380\) | −23.8400 | + | 5.44134i | −1.22297 | + | 0.279135i | ||||
\(381\) | 34.8872 | − | 11.4779i | 1.78732 | − | 0.588030i | ||||
\(382\) | 35.8940 | + | 17.2856i | 1.83650 | + | 0.884411i | ||||
\(383\) | 31.0150 | + | 4.67476i | 1.58479 | + | 0.238869i | 0.881553 | − | 0.472085i | \(-0.156498\pi\) |
0.703239 | + | 0.710954i | \(0.251737\pi\) | |||||||
\(384\) | −10.3126 | + | 0.966491i | −0.526262 | + | 0.0493210i | ||||
\(385\) | −5.33086 | + | 1.99129i | −0.271686 | + | 0.101486i | ||||
\(386\) | 6.58464 | − | 13.6731i | 0.335149 | − | 0.695945i | ||||
\(387\) | −1.85225 | − | 6.91561i | −0.0941549 | − | 0.351540i | ||||
\(388\) | −0.167789 | − | 0.543958i | −0.00851818 | − | 0.0276153i | ||||
\(389\) | 25.5810 | + | 1.91703i | 1.29701 | + | 0.0971974i | 0.705274 | − | 0.708935i | \(-0.250824\pi\) |
0.591736 | + | 0.806132i | \(0.298443\pi\) | |||||||
\(390\) | −10.7788 | + | 3.54622i | −0.545804 | + | 0.179570i | ||||
\(391\) | −3.73999 | − | 2.15928i | −0.189139 | − | 0.109200i | ||||
\(392\) | −42.5915 | + | 22.7496i | −2.15119 | + | 1.14903i | ||||
\(393\) | −10.3585 | + | 1.75942i | −0.522519 | + | 0.0887509i | ||||
\(394\) | −25.2994 | − | 31.7245i | −1.27457 | − | 1.59826i | ||||
\(395\) | −13.5993 | − | 9.27185i | −0.684255 | − | 0.466517i | ||||
\(396\) | 29.2483 | − | 3.29234i | 1.46978 | − | 0.165447i | ||||
\(397\) | −3.32229 | − | 0.248971i | −0.166741 | − | 0.0124955i | −0.00890201 | − | 0.999960i | \(-0.502834\pi\) |
−0.157839 | + | 0.987465i | \(0.550453\pi\) | |||||||
\(398\) | −2.27722 | − | 30.3874i | −0.114147 | − | 1.52319i | ||||
\(399\) | −21.7917 | + | 8.60645i | −1.09095 | + | 0.430861i | ||||
\(400\) | −2.50252 | + | 33.3938i | −0.125126 | + | 1.66969i | ||||
\(401\) | 3.78674 | − | 25.1234i | 0.189101 | − | 1.25460i | −0.669832 | − | 0.742512i | \(-0.733634\pi\) |
0.858933 | − | 0.512088i | \(-0.171128\pi\) | |||||||
\(402\) | −27.3359 | − | 28.3809i | −1.36339 | − | 1.41551i | ||||
\(403\) | −16.9701 | + | 2.55784i | −0.845342 | + | 0.127415i | ||||
\(404\) | 22.7107 | + | 7.00532i | 1.12990 | + | 0.348528i | ||||
\(405\) | 8.98425 | + | 2.05260i | 0.446431 | + | 0.101995i | ||||
\(406\) | −18.4346 | − | 23.9158i | −0.914894 | − | 1.18692i | ||||
\(407\) | 2.83948 | − | 18.8387i | 0.140748 | − | 0.933801i | ||||
\(408\) | −9.93220 | + | 34.4685i | −0.491717 | + | 1.70645i | ||||
\(409\) | 24.0986 | − | 5.50034i | 1.19160 | − | 0.271974i | 0.419665 | − | 0.907679i | \(-0.362148\pi\) |
0.771932 | + | 0.635705i | \(0.219290\pi\) | |||||||
\(410\) | − | 30.5935i | − | 1.51090i | ||||||
\(411\) | 0.701399 | − | 0.581069i | 0.0345975 | − | 0.0286620i | ||||
\(412\) | −41.2293 | − | 44.4346i | −2.03122 | − | 2.18914i | ||||
\(413\) | 14.0233 | + | 37.5415i | 0.690039 | + | 1.84729i | ||||
\(414\) | −10.2149 | − | 4.45802i | −0.502036 | − | 0.219100i | ||||
\(415\) | −0.196371 | − | 0.182205i | −0.00963945 | − | 0.00894410i | ||||
\(416\) | −7.32331 | − | 18.6595i | −0.359055 | − | 0.914857i | ||||
\(417\) | 0.0749282 | + | 4.01782i | 0.00366925 | + | 0.196753i | ||||
\(418\) | −8.17581 | − | 26.5053i | −0.399892 | − | 1.29642i | ||||
\(419\) | −12.3340 | − | 11.4443i | −0.602554 | − | 0.559089i | 0.318795 | − | 0.947824i | \(-0.396722\pi\) |
−0.921350 | + | 0.388735i | \(0.872912\pi\) | |||||||
\(420\) | −1.68461 | − | 21.8525i | −0.0822005 | − | 1.06629i | ||||
\(421\) | 12.0086 | − | 11.1424i | 0.585265 | − | 0.543046i | −0.330994 | − | 0.943633i | \(-0.607384\pi\) |
0.916259 | + | 0.400587i | \(0.131194\pi\) | |||||||
\(422\) | 46.4565 | + | 26.8217i | 2.26147 | + | 1.30566i | ||||
\(423\) | −12.2478 | − | 10.5424i | −0.595510 | − | 0.512588i | ||||
\(424\) | 14.6922 | − | 13.6324i | 0.713518 | − | 0.662048i | ||||
\(425\) | −10.6887 | − | 5.14742i | −0.518479 | − | 0.249686i | ||||
\(426\) | −16.7973 | − | 27.8800i | −0.813831 | − | 1.35079i | ||||
\(427\) | 14.5698 | + | 8.73568i | 0.705081 | + | 0.422749i | ||||
\(428\) | −0.292294 | − | 1.93924i | −0.0141285 | − | 0.0937367i | ||||
\(429\) | −3.44840 | − | 8.32642i | −0.166490 | − | 0.402003i | ||||
\(430\) | −0.940673 | − | 6.24096i | −0.0453633 | − | 0.300966i | ||||
\(431\) | 31.9949 | − | 2.39769i | 1.54114 | − | 0.115492i | 0.723136 | − | 0.690705i | \(-0.242700\pi\) |
0.818004 | + | 0.575213i | \(0.195081\pi\) | |||||||
\(432\) | −7.38315 | + | 43.4122i | −0.355222 | + | 2.08867i | ||||
\(433\) | 0.287603 | + | 0.597214i | 0.0138213 | + | 0.0287003i | 0.907765 | − | 0.419479i | \(-0.137787\pi\) |
−0.893944 | + | 0.448179i | \(0.852073\pi\) | |||||||
\(434\) | 4.31677 | − | 47.1453i | 0.207212 | − | 2.26305i | ||||
\(435\) | 7.60685 | − | 1.88610i | 0.364721 | − | 0.0904317i | ||||
\(436\) | −45.3623 | − | 30.9275i | −2.17246 | − | 1.48116i | ||||
\(437\) | −1.63648 | + | 7.16990i | −0.0782836 | + | 0.342983i | ||||
\(438\) | −17.2958 | + | 12.2706i | −0.826424 | + | 0.586313i | ||||
\(439\) | 11.8005 | − | 9.41060i | 0.563208 | − | 0.449144i | −0.300038 | − | 0.953927i | \(-0.596999\pi\) |
0.863246 | + | 0.504784i | \(0.168428\pi\) | |||||||
\(440\) | 14.8367 | 0.707314 | ||||||||
\(441\) | −4.76045 | − | 20.4533i | −0.226688 | − | 0.973967i | ||||
\(442\) | 19.2085 | 0.913655 | ||||||||
\(443\) | 15.6194 | − | 12.4561i | 0.742101 | − | 0.591806i | −0.177749 | − | 0.984076i | \(-0.556882\pi\) |
0.919850 | + | 0.392270i | \(0.128310\pi\) | |||||||
\(444\) | 66.6919 | + | 30.5986i | 3.16506 | + | 1.45214i | ||||
\(445\) | 1.78695 | − | 7.82915i | 0.0847096 | − | 0.371137i | ||||
\(446\) | −27.8188 | − | 18.9665i | −1.31726 | − | 0.898092i | ||||
\(447\) | −4.47573 | + | 15.5325i | −0.211695 | + | 0.734662i | ||||
\(448\) | 10.3604 | − | 1.38708i | 0.489484 | − | 0.0655332i | ||||
\(449\) | −10.3635 | − | 21.5201i | −0.489085 | − | 1.01560i | −0.988778 | − | 0.149393i | \(-0.952268\pi\) |
0.499693 | − | 0.866203i | \(-0.333446\pi\) | |||||||
\(450\) | −28.8983 | − | 10.1154i | −1.36228 | − | 0.476844i | ||||
\(451\) | 24.2304 | − | 1.81582i | 1.14096 | − | 0.0855035i | ||||
\(452\) | 11.0382 | + | 73.2334i | 0.519191 | + | 3.44461i | ||||
\(453\) | 0.729487 | − | 0.950582i | 0.0342743 | − | 0.0446622i | ||||
\(454\) | 3.55718 | + | 23.6004i | 0.166947 | + | 1.10762i | ||||
\(455\) | −6.28670 | + | 2.34834i | −0.294725 | + | 0.110092i | ||||
\(456\) | 61.0758 | − | 1.13900i | 2.86014 | − | 0.0533387i | ||||
\(457\) | −17.0033 | − | 8.18836i | −0.795381 | − | 0.383035i | −0.00836252 | − | 0.999965i | \(-0.502662\pi\) |
−0.787018 | + | 0.616930i | \(0.788376\pi\) | |||||||
\(458\) | −35.1244 | + | 32.5907i | −1.64125 | + | 1.52286i | ||||
\(459\) | −13.3609 | − | 8.05363i | −0.623634 | − | 0.375911i | ||||
\(460\) | −5.95788 | − | 3.43978i | −0.277787 | − | 0.160381i | ||||
\(461\) | 12.4975 | − | 11.5960i | 0.582068 | − | 0.540080i | −0.333236 | − | 0.942843i | \(-0.608141\pi\) |
0.915304 | + | 0.402763i | \(0.131950\pi\) | |||||||
\(462\) | 24.5755 | − | 3.75792i | 1.14336 | − | 0.174834i | ||||
\(463\) | 21.4020 | + | 19.8581i | 0.994634 | + | 0.922886i | 0.997022 | − | 0.0771112i | \(-0.0245697\pi\) |
−0.00238802 | + | 0.999997i | \(0.500760\pi\) | |||||||
\(464\) | 11.0381 | + | 35.7847i | 0.512432 | + | 1.66126i | ||||
\(465\) | 10.7540 | + | 5.94425i | 0.498703 | + | 0.275658i | ||||
\(466\) | 7.76237 | + | 19.7782i | 0.359585 | + | 0.916207i | ||||
\(467\) | 23.5873 | + | 21.8858i | 1.09149 | + | 1.01275i | 0.999856 | + | 0.0169597i | \(0.00539871\pi\) |
0.0916317 | + | 0.995793i | \(0.470792\pi\) | |||||||
\(468\) | 34.4926 | − | 3.88267i | 1.59442 | − | 0.179476i | ||||
\(469\) | −16.8197 | − | 16.1312i | −0.776663 | − | 0.744871i | ||||
\(470\) | −9.68993 | − | 10.4433i | −0.446963 | − | 0.481712i | ||||
\(471\) | −35.8734 | − | 13.3128i | −1.65296 | − | 0.613423i | ||||
\(472\) | − | 104.485i | − | 4.80930i | ||||||
\(473\) | 4.88708 | − | 1.11544i | 0.224708 | − | 0.0512882i | ||||
\(474\) | 49.8837 | + | 51.7906i | 2.29123 | + | 2.37882i | ||||
\(475\) | −3.01111 | + | 19.9774i | −0.138159 | + | 0.916627i | ||||
\(476\) | −8.85191 | + | 36.0303i | −0.405727 | + | 1.65145i | ||||
\(477\) | 4.07218 | + | 7.70691i | 0.186452 | + | 0.352875i | ||||
\(478\) | 36.2696 | + | 11.1877i | 1.65894 | + | 0.511714i | ||||
\(479\) | −34.6769 | + | 5.22671i | −1.58443 | + | 0.238814i | −0.881409 | − | 0.472354i | \(-0.843404\pi\) |
−0.703021 | + | 0.711169i | \(0.748166\pi\) | |||||||
\(480\) | −3.97384 | + | 13.7907i | −0.181380 | + | 0.629459i | ||||
\(481\) | 3.34861 | − | 22.2165i | 0.152683 | − | 1.01299i | ||||
\(482\) | −2.84758 | + | 37.9984i | −0.129704 | + | 1.73078i | ||||
\(483\) | −6.14111 | − | 2.39507i | −0.279430 | − | 0.108979i | ||||
\(484\) | −2.29948 | − | 30.6845i | −0.104522 | − | 1.39475i | ||||
\(485\) | 0.124447 | + | 0.00932599i | 0.00565083 | + | 0.000423471i | ||||
\(486\) | −36.5903 | − | 16.7972i | −1.65977 | − | 0.761939i | ||||
\(487\) | −8.16711 | − | 5.56824i | −0.370087 | − | 0.252321i | 0.363967 | − | 0.931412i | \(-0.381422\pi\) |
−0.734055 | + | 0.679091i | \(0.762374\pi\) | |||||||
\(488\) | −27.6152 | − | 34.6284i | −1.25008 | − | 1.56755i | ||||
\(489\) | 9.40913 | + | 11.3576i | 0.425495 | + | 0.513609i | ||||
\(490\) | −2.15339 | − | 18.3872i | −0.0972802 | − | 0.830650i | ||||
\(491\) | 9.89994 | + | 5.71573i | 0.446778 | + | 0.257947i | 0.706469 | − | 0.707744i | \(-0.250287\pi\) |
−0.259690 | + | 0.965692i | \(0.583621\pi\) | |||||||
\(492\) | −19.1196 | + | 91.6104i | −0.861980 | + | 4.13011i | ||||
\(493\) | −13.2298 | − | 0.991433i | −0.595838 | − | 0.0446519i | ||||
\(494\) | −9.64175 | − | 31.2578i | −0.433803 | − | 1.40635i | ||||
\(495\) | −1.67071 | + | 6.23253i | −0.0750929 | + | 0.280131i | ||||
\(496\) | −25.4747 | + | 52.8988i | −1.14385 | + | 2.37522i | ||||
\(497\) | −10.5801 | − | 16.0822i | −0.474580 | − | 0.721386i | ||||
\(498\) | 0.677177 | + | 0.954499i | 0.0303450 | + | 0.0427721i | ||||
\(499\) | −6.79448 | − | 1.02410i | −0.304163 | − | 0.0458451i | −0.00481232 | − | 0.999988i | \(-0.501532\pi\) |
−0.299350 | + | 0.954143i | \(0.596770\pi\) | |||||||
\(500\) | −38.5729 | − | 18.5757i | −1.72503 | − | 0.830732i | ||||
\(501\) | 2.53205 | − | 12.1321i | 0.113124 | − | 0.542023i | ||||
\(502\) | 1.27747 | − | 0.291575i | 0.0570165 | − | 0.0130136i | ||||
\(503\) | −11.4749 | − | 14.3891i | −0.511642 | − | 0.641578i | 0.457169 | − | 0.889380i | \(-0.348863\pi\) |
−0.968811 | + | 0.247801i | \(0.920292\pi\) | |||||||
\(504\) | −7.03333 | + | 54.2980i | −0.313289 | + | 2.41863i | ||||
\(505\) | −3.24858 | + | 4.07360i | −0.144560 | + | 0.181273i | ||||
\(506\) | 3.38586 | − | 7.03081i | 0.150520 | − | 0.312558i | ||||
\(507\) | 4.54894 | + | 10.9838i | 0.202026 | + | 0.487806i | ||||
\(508\) | −99.0403 | −4.39420 | ||||||||
\(509\) | 22.3075 | + | 38.6377i | 0.988761 | + | 1.71258i | 0.623856 | + | 0.781539i | \(0.285565\pi\) |
0.364905 | + | 0.931045i | \(0.381102\pi\) | |||||||
\(510\) | −10.9104 | − | 8.37279i | −0.483122 | − | 0.370753i | ||||
\(511\) | −9.93350 | + | 7.65688i | −0.439432 | + | 0.338721i | ||||
\(512\) | 47.1278 | + | 10.7566i | 2.08277 | + | 0.475379i | ||||
\(513\) | −6.39906 | + | 25.7846i | −0.282525 | + | 1.13842i | ||||
\(514\) | −7.09408 | + | 47.0662i | −0.312907 | + | 2.07600i | ||||
\(515\) | 12.3702 | − | 4.85494i | 0.545095 | − | 0.213934i | ||||
\(516\) | −1.08355 | + | 19.2761i | −0.0477006 | + | 0.848582i | ||||
\(517\) | 7.69605 | − | 8.29437i | 0.338472 | − | 0.364786i | ||||
\(518\) | 57.3128 | + | 23.5927i | 2.51818 | + | 1.03660i | ||||
\(519\) | 7.56207 | + | 0.995974i | 0.331938 | + | 0.0437184i | ||||
\(520\) | 17.4970 | 0.767295 | ||||||||
\(521\) | −1.66766 | − | 2.88848i | −0.0730617 | − | 0.126547i | 0.827180 | − | 0.561937i | \(-0.189944\pi\) |
−0.900242 | + | 0.435390i | \(0.856610\pi\) | |||||||
\(522\) | −34.2152 | + | 1.27660i | −1.49756 | + | 0.0558754i | ||||
\(523\) | −0.844319 | − | 1.23839i | −0.0369195 | − | 0.0541510i | 0.807335 | − | 0.590093i | \(-0.200909\pi\) |
−0.844255 | + | 0.535942i | \(0.819957\pi\) | |||||||
\(524\) | 28.0172 | + | 4.22292i | 1.22394 | + | 0.184479i | ||||
\(525\) | −17.3149 | − | 5.30041i | −0.755682 | − | 0.231329i | ||||
\(526\) | 40.2046 | − | 6.05987i | 1.75301 | − | 0.264223i | ||||
\(527\) | −14.1478 | − | 15.2477i | −0.616289 | − | 0.664201i | ||||
\(528\) | −30.1820 | − | 6.29916i | −1.31350 | − | 0.274136i | ||||
\(529\) | 17.2940 | − | 11.7908i | 0.751912 | − | 0.512645i | ||||
\(530\) | 2.80738 | + | 7.15308i | 0.121945 | + | 0.310710i | ||||
\(531\) | 43.8913 | + | 11.7656i | 1.90472 | + | 0.510585i | ||||
\(532\) | 63.0751 | − | 3.68088i | 2.73465 | − | 0.159587i | ||||
\(533\) | 28.5750 | − | 2.14140i | 1.23772 | − | 0.0927542i | ||||
\(534\) | −14.6301 | + | 31.8875i | −0.633108 | + | 1.37991i | ||||
\(535\) | 0.419161 | + | 0.0956707i | 0.0181219 | + | 0.00413620i | ||||
\(536\) | 26.3633 | + | 54.7439i | 1.13872 | + | 2.36458i | ||||
\(537\) | 23.1914 | − | 25.9485i | 1.00078 | − | 1.11976i | ||||
\(538\) | 19.7232 | − | 11.3872i | 0.850326 | − | 0.490936i | ||||
\(539\) | 14.4351 | − | 2.79685i | 0.621763 | − | 0.120469i | ||||
\(540\) | −21.2842 | − | 12.8296i | −0.915926 | − | 0.552098i | ||||
\(541\) | 9.56605 | − | 1.44185i | 0.411277 | − | 0.0619900i | 0.0598546 | − | 0.998207i | \(-0.480936\pi\) |
0.351422 | + | 0.936217i | \(0.385698\pi\) | |||||||
\(542\) | 4.00804 | − | 53.4836i | 0.172160 | − | 2.29732i | ||||
\(543\) | −9.37150 | + | 14.3117i | −0.402170 | + | 0.614174i | ||||
\(544\) | 13.6858 | − | 20.0734i | 0.586775 | − | 0.860641i | ||||
\(545\) | 9.94472 | − | 6.78020i | 0.425985 | − | 0.290432i | ||||
\(546\) | 28.9820 | − | 4.43173i | 1.24031 | − | 0.189660i | ||||
\(547\) | −21.1946 | − | 14.4502i | −0.906215 | − | 0.617847i | 0.0179508 | − | 0.999839i | \(-0.494286\pi\) |
−0.924166 | + | 0.381992i | \(0.875238\pi\) | |||||||
\(548\) | −2.28641 | + | 0.897351i | −0.0976708 | + | 0.0383330i | ||||
\(549\) | 17.6561 | − | 7.70105i | 0.753545 | − | 0.328673i | ||||
\(550\) | 7.83197 | − | 19.9555i | 0.333956 | − | 0.850906i | ||||
\(551\) | 5.02736 | + | 22.0263i | 0.214173 | + | 0.938352i | ||||
\(552\) | 12.8139 | + | 11.4524i | 0.545395 | + | 0.487447i | ||||
\(553\) | 30.6933 | + | 29.4369i | 1.30521 | + | 1.25178i | ||||
\(554\) | −46.1251 | + | 18.1028i | −1.95967 | + | 0.769114i | ||||
\(555\) | −11.5860 | + | 11.1594i | −0.491797 | + | 0.473689i | ||||
\(556\) | 3.19416 | − | 10.3552i | 0.135462 | − | 0.439158i | ||||
\(557\) | 5.62503 | − | 3.24761i | 0.238340 | − | 0.137606i | −0.376073 | − | 0.926590i | \(-0.622726\pi\) |
0.614414 | + | 0.788984i | \(0.289393\pi\) | |||||||
\(558\) | −40.6853 | − | 35.0200i | −1.72234 | − | 1.48252i | ||||
\(559\) | 5.76335 | − | 1.31545i | 0.243764 | − | 0.0556375i | ||||
\(560\) | −5.47773 | + | 22.2963i | −0.231477 | + | 0.942189i | ||||
\(561\) | 5.98378 | − | 9.13814i | 0.252635 | − | 0.385812i | ||||
\(562\) | 69.4118 | − | 21.4107i | 2.92796 | − | 0.903156i | ||||
\(563\) | 8.02360 | − | 10.0613i | 0.338154 | − | 0.424032i | −0.583458 | − | 0.812143i | \(-0.698301\pi\) |
0.921613 | + | 0.388111i | \(0.126872\pi\) | |||||||
\(564\) | 22.4893 | + | 37.3275i | 0.946971 | + | 1.57177i | ||||
\(565\) | −15.8292 | − | 3.61290i | −0.665938 | − | 0.151996i | ||||
\(566\) | 2.58649 | − | 11.3321i | 0.108718 | − | 0.476325i | ||||
\(567\) | −22.0172 | − | 9.06882i | −0.924635 | − | 0.380855i | ||||
\(568\) | 11.1683 | + | 48.9315i | 0.468612 | + | 2.05312i | ||||
\(569\) | − | 6.80986i | − | 0.285484i | −0.989760 | − | 0.142742i | \(-0.954408\pi\) | ||
0.989760 | − | 0.142742i | \(-0.0455919\pi\) | |||||||
\(570\) | −8.14844 | + | 21.9572i | −0.341300 | + | 0.919685i | ||||
\(571\) | −3.27492 | − | 14.3484i | −0.137051 | − | 0.600460i | −0.996074 | − | 0.0885232i | \(-0.971785\pi\) |
0.859023 | − | 0.511937i | \(-0.171072\pi\) | |||||||
\(572\) | 1.81618 | + | 24.2352i | 0.0759382 | + | 1.01332i | ||||
\(573\) | 22.8843 | − | 13.7875i | 0.956007 | − | 0.575981i | ||||
\(574\) | −13.0702 | + | 77.9598i | −0.545540 | + | 3.25398i | ||||
\(575\) | −4.44382 | + | 3.54383i | −0.185320 | + | 0.147788i | ||||
\(576\) | 5.53938 | − | 10.4783i | 0.230807 | − | 0.436597i | ||||
\(577\) | 2.02178 | + | 0.793488i | 0.0841676 | + | 0.0330334i | 0.407051 | − | 0.913405i | \(-0.366557\pi\) |
−0.322884 | + | 0.946439i | \(0.604652\pi\) | |||||||
\(578\) | −11.6193 | − | 17.0424i | −0.483298 | − | 0.708869i | ||||
\(579\) | −5.25209 | − | 8.71735i | −0.218269 | − | 0.362281i | ||||
\(580\) | −21.0753 | − | 1.57937i | −0.875104 | − | 0.0655799i | ||||
\(581\) | 0.422559 | + | 0.548198i | 0.0175307 | + | 0.0227431i | ||||
\(582\) | −0.523890 | − | 0.150960i | −0.0217159 | − | 0.00625750i | ||||
\(583\) | −5.49869 | + | 2.64803i | −0.227733 | + | 0.109670i | ||||
\(584\) | 31.2471 | − | 9.63844i | 1.29301 | − | 0.398842i | ||||
\(585\) | −1.97027 | + | 7.35004i | −0.0814608 | + | 0.303887i | ||||
\(586\) | −6.15804 | − | 40.8560i | −0.254386 | − | 1.68774i | ||||
\(587\) | −15.2132 | − | 26.3501i | −0.627917 | − | 1.08758i | −0.987969 | − | 0.154652i | \(-0.950574\pi\) |
0.360052 | − | 0.932932i | \(-0.382759\pi\) | |||||||
\(588\) | −5.04305 | + | 56.4052i | −0.207972 | + | 2.32611i | ||||
\(589\) | −17.7109 | + | 30.6762i | −0.729766 | + | 1.26399i | ||||
\(590\) | 37.2900 | + | 14.6353i | 1.53521 | + | 0.602524i | ||||
\(591\) | −27.0929 | + | 2.53913i | −1.11445 | + | 0.104446i | ||||
\(592\) | −56.3458 | − | 52.2813i | −2.31580 | − | 2.14875i | ||||
\(593\) | 0.720189 | − | 9.61025i | 0.0295746 | − | 0.394646i | −0.962699 | − | 0.270575i | \(-0.912786\pi\) |
0.992273 | − | 0.124070i | \(-0.0395949\pi\) | |||||||
\(594\) | 12.7079 | − | 25.1631i | 0.521413 | − | 1.03245i | ||||
\(595\) | −6.64390 | − | 4.69224i | −0.272373 | − | 0.192363i | ||||
\(596\) | 24.5554 | − | 36.0161i | 1.00583 | − | 1.47528i | ||||
\(597\) | −17.8850 | − | 9.88593i | −0.731984 | − | 0.404604i | ||||
\(598\) | 3.99295 | − | 8.29145i | 0.163284 | − | 0.339063i | ||||
\(599\) | −31.3427 | + | 24.9949i | −1.28063 | + | 1.02127i | −0.282552 | + | 0.959252i | \(0.591181\pi\) |
−0.998075 | + | 0.0620137i | \(0.980248\pi\) | |||||||
\(600\) | 37.4539 | + | 28.7425i | 1.52905 | + | 1.17341i | ||||
\(601\) | 18.4572 | + | 7.24392i | 0.752885 | + | 0.295485i | 0.710577 | − | 0.703619i | \(-0.248434\pi\) |
0.0423075 | + | 0.999105i | \(0.486529\pi\) | |||||||
\(602\) | −0.269206 | + | 16.3054i | −0.0109720 | + | 0.664559i | ||||
\(603\) | −25.9651 | + | 4.91001i | −1.05738 | + | 0.199951i | ||||
\(604\) | −2.66978 | + | 1.82022i | −0.108632 | + | 0.0740639i | ||||
\(605\) | 6.44610 | + | 1.98836i | 0.262071 | + | 0.0808383i | ||||
\(606\) | 17.5290 | − | 14.5217i | 0.712065 | − | 0.589906i | ||||
\(607\) | −18.6546 | + | 10.7702i | −0.757165 | + | 0.437149i | −0.828277 | − | 0.560319i | \(-0.810679\pi\) |
0.0711119 | + | 0.997468i | \(0.477345\pi\) | |||||||
\(608\) | −39.5349 | − | 12.1949i | −1.60335 | − | 0.494569i | ||||
\(609\) | −20.1899 | + | 1.55644i | −0.818138 | + | 0.0630703i | ||||
\(610\) | 16.2268 | − | 5.00529i | 0.657002 | − | 0.202658i | ||||
\(611\) | 9.07597 | − | 9.78157i | 0.367175 | − | 0.395720i | ||||
\(612\) | 27.4380 | + | 31.8904i | 1.10911 | + | 1.28909i | ||||
\(613\) | 38.7213 | + | 5.83630i | 1.56394 | + | 0.235726i | 0.873194 | − | 0.487373i | \(-0.162045\pi\) |
0.690745 | + | 0.723099i | \(0.257283\pi\) | |||||||
\(614\) | 8.23586 | − | 36.0836i | 0.332372 | − | 1.45622i | ||||
\(615\) | −17.1640 | − | 11.2392i | −0.692119 | − | 0.453209i | ||||
\(616\) | −37.8077 | − | 6.33859i | −1.52332 | − | 0.255389i | ||||
\(617\) | −1.43719 | + | 4.65925i | −0.0578590 | + | 0.187574i | −0.979889 | − | 0.199545i | \(-0.936054\pi\) |
0.922030 | + | 0.387119i | \(0.126530\pi\) | |||||||
\(618\) | −57.2361 | + | 9.72168i | −2.30237 | + | 0.391063i | ||||
\(619\) | 35.3011 | + | 20.3811i | 1.41887 | + | 0.819186i | 0.996200 | − | 0.0870964i | \(-0.0277588\pi\) |
0.422672 | + | 0.906283i | \(0.361092\pi\) | |||||||
\(620\) | −22.5378 | − | 24.2899i | −0.905138 | − | 0.975507i | ||||
\(621\) | −6.25379 | + | 4.09317i | −0.250956 | + | 0.164253i | ||||
\(622\) | −44.7511 | − | 35.6878i | −1.79435 | − | 1.43095i | ||||
\(623\) | −7.89838 | + | 19.1872i | −0.316442 | + | 0.768719i | ||||
\(624\) | −35.5937 | − | 7.42862i | −1.42489 | − | 0.297383i | ||||
\(625\) | −7.60294 | + | 7.05450i | −0.304118 | + | 0.282180i | ||||
\(626\) | −26.5948 | − | 33.3488i | −1.06294 | − | 1.33289i | ||||
\(627\) | −17.8740 | − | 5.15043i | −0.713818 | − | 0.205688i | ||||
\(628\) | 80.6739 | + | 64.3352i | 3.21924 | + | 2.56726i | ||||
\(629\) | 24.5342 | − | 11.8150i | 0.978241 | − | 0.471096i | ||||
\(630\) | −18.3935 | − | 10.1157i | −0.732815 | − | 0.403020i | ||||
\(631\) | 24.7090 | + | 11.8992i | 0.983648 | + | 0.473700i | 0.855358 | − | 0.518037i | \(-0.173337\pi\) |
0.128290 | + | 0.991737i | \(0.459051\pi\) | |||||||
\(632\) | −48.1087 | − | 99.8987i | −1.91366 | − | 3.97376i | ||||
\(633\) | 32.1147 | − | 16.2101i | 1.27645 | − | 0.644294i | ||||
\(634\) | −53.3498 | + | 25.6919i | −2.11879 | + | 1.02036i | ||||
\(635\) | 7.93247 | − | 20.2116i | 0.314790 | − | 0.802073i | ||||
\(636\) | −3.93615 | − | 23.1740i | −0.156078 | − | 0.918907i | ||||
\(637\) | 17.0233 | − | 3.29833i | 0.674489 | − | 0.130685i | ||||
\(638\) | − | 23.9731i | − | 0.949104i | ||||||
\(639\) | −21.8125 | − | 0.818486i | −0.862888 | − | 0.0323788i | ||||
\(640\) | −3.44944 | + | 5.05940i | −0.136351 | + | 0.199990i | ||||
\(641\) | 12.5014 | − | 13.4733i | 0.493775 | − | 0.532162i | −0.436169 | − | 0.899865i | \(-0.643665\pi\) |
0.929944 | + | 0.367702i | \(0.119855\pi\) | |||||||
\(642\) | −1.70721 | − | 0.783276i | −0.0673781 | − | 0.0309134i | ||||
\(643\) | 22.1210 | + | 32.4455i | 0.872365 | + | 1.27953i | 0.959035 | + | 0.283288i | \(0.0914252\pi\) |
−0.0866695 | + | 0.996237i | \(0.527622\pi\) | |||||||
\(644\) | 13.7126 | + | 11.3108i | 0.540352 | + | 0.445706i | ||||
\(645\) | −3.84697 | − | 1.76501i | −0.151474 | − | 0.0694972i | ||||
\(646\) | 24.7190 | − | 30.9966i | 0.972556 | − | 1.21955i | ||||
\(647\) | 1.58289 | + | 21.1222i | 0.0622297 | + | 0.830398i | 0.937771 | + | 0.347254i | \(0.112886\pi\) |
−0.875541 | + | 0.483143i | \(0.839495\pi\) | |||||||
\(648\) | 45.5007 | + | 42.2365i | 1.78744 | + | 1.65921i | ||||
\(649\) | −9.37801 | + | 30.4028i | −0.368119 | + | 1.19341i | ||||
\(650\) | 9.23626 | − | 23.5336i | 0.362276 | − | 0.923064i | ||||
\(651\) | −24.8643 | − | 19.7418i | −0.974508 | − | 0.773741i | ||||
\(652\) | −14.5306 | − | 37.0234i | −0.569063 | − | 1.44995i | ||||
\(653\) | −16.1655 | + | 1.21144i | −0.632605 | + | 0.0474072i | −0.387174 | − | 0.922007i | \(-0.626549\pi\) |
−0.245431 | + | 0.969414i | \(0.578930\pi\) | |||||||
\(654\) | −48.5818 | + | 20.1202i | −1.89970 | + | 0.786762i | ||||
\(655\) | −3.10578 | + | 5.37938i | −0.121353 | + | 0.210190i | ||||
\(656\) | 49.0167 | − | 84.8994i | 1.91378 | − | 3.31477i | ||||
\(657\) | 0.530242 | + | 14.2114i | 0.0206867 | + | 0.554440i | ||||
\(658\) | 20.2308 | + | 30.7518i | 0.788677 | + | 1.19883i | ||||
\(659\) | −8.39066 | − | 27.2019i | −0.326854 | − | 1.05963i | −0.958671 | − | 0.284517i | \(-0.908167\pi\) |
0.631817 | − | 0.775117i | \(-0.282309\pi\) | |||||||
\(660\) | 9.53228 | − | 14.5572i | 0.371044 | − | 0.566640i | ||||
\(661\) | 12.6277 | + | 10.0703i | 0.491162 | + | 0.391689i | 0.837514 | − | 0.546416i | \(-0.184008\pi\) |
−0.346352 | + | 0.938105i | \(0.612580\pi\) | |||||||
\(662\) | −67.0755 | − | 53.4909i | −2.60696 | − | 2.07898i | ||||
\(663\) | 7.05668 | − | 10.7766i | 0.274059 | − | 0.418529i | ||||
\(664\) | −0.531915 | − | 1.72443i | −0.0206423 | − | 0.0669207i | ||||
\(665\) | −4.30072 | + | 13.1668i | −0.166775 | + | 0.510588i | ||||
\(666\) | 59.5095 | − | 37.3835i | 2.30595 | − | 1.44858i | ||||
\(667\) | −3.17809 | + | 5.50461i | −0.123056 | + | 0.213139i | ||||
\(668\) | −16.7107 | + | 28.9437i | −0.646556 | + | 1.11987i | ||||
\(669\) | −20.8608 | + | 8.63951i | −0.806523 | + | 0.334023i | ||||
\(670\) | −23.2305 | + | 1.74089i | −0.897473 | + | 0.0672563i | ||||
\(671\) | 4.92736 | + | 12.5547i | 0.190219 | + | 0.484669i | ||||
\(672\) | 16.0180 | − | 33.4445i | 0.617909 | − | 1.29015i | ||||
\(673\) | −7.38229 | + | 18.8098i | −0.284566 | + | 0.725063i | 0.715095 | + | 0.699028i | \(0.246384\pi\) |
−0.999661 | + | 0.0260357i | \(0.991712\pi\) | |||||||
\(674\) | 10.2983 | − | 33.3863i | 0.396676 | − | 1.28599i | ||||
\(675\) | −16.2915 | + | 12.4968i | −0.627061 | + | 0.481002i | ||||
\(676\) | −2.39580 | − | 31.9698i | −0.0921463 | − | 1.22961i | ||||
\(677\) | 1.73490 | − | 2.17549i | 0.0666775 | − | 0.0836110i | −0.747374 | − | 0.664403i | \(-0.768686\pi\) |
0.814052 | + | 0.580792i | \(0.197257\pi\) | |||||||
\(678\) | 64.4709 | + | 29.5796i | 2.47599 | + | 1.13600i | ||||
\(679\) | −0.313137 | − | 0.0769313i | −0.0120171 | − | 0.00295235i | ||||
\(680\) | 11.9461 | + | 17.5217i | 0.458112 | + | 0.671927i | ||||
\(681\) | 14.5474 | + | 6.67443i | 0.557459 | + | 0.255765i | ||||
\(682\) | 25.5650 | − | 27.5525i | 0.978934 | − | 1.05504i | ||||
\(683\) | 17.5649 | − | 25.7630i | 0.672104 | − | 0.985795i | −0.327064 | − | 0.945002i | \(-0.606059\pi\) |
0.999168 | − | 0.0407929i | \(-0.0129884\pi\) | |||||||
\(684\) | 38.1223 | − | 60.6570i | 1.45764 | − | 2.31928i | ||||
\(685\) | − | 0.538471i | − | 0.0205739i | ||||||
\(686\) | −2.36806 | + | 47.7752i | −0.0904129 | + | 1.82407i | ||||
\(687\) | 5.38073 | + | 31.6789i | 0.205288 | + | 1.20863i | ||||
\(688\) | 7.38879 | − | 18.8263i | 0.281695 | − | 0.717747i | ||||
\(689\) | −6.48462 | + | 3.12283i | −0.247044 | + | 0.118970i | ||||
\(690\) | −5.88216 | + | 2.96906i | −0.223930 | + | 0.113030i | ||||
\(691\) | −1.28281 | − | 2.66378i | −0.0488003 | − | 0.101335i | 0.875143 | − | 0.483865i | \(-0.160767\pi\) |
−0.923943 | + | 0.382530i | \(0.875053\pi\) | |||||||
\(692\) | −18.5317 | − | 8.92437i | −0.704468 | − | 0.339254i | ||||
\(693\) | 6.92006 | − | 15.1683i | 0.262871 | − | 0.576195i | ||||
\(694\) | −54.6919 | + | 26.3382i | −2.07608 | + | 0.999786i | ||||
\(695\) | 1.85740 | + | 1.48123i | 0.0704553 | + | 0.0561862i | ||||
\(696\) | 50.7317 | + | 14.6185i | 1.92298 | + | 0.554111i | ||||
\(697\) | 21.6540 | + | 27.1532i | 0.820203 | + | 1.02850i | ||||
\(698\) | −10.6702 | + | 9.90053i | −0.403874 | + | 0.374741i | ||||
\(699\) | 13.9479 | + | 2.91102i | 0.527559 | + | 0.110105i | ||||
\(700\) | 39.8868 | + | 28.1700i | 1.50758 | + | 1.06472i | ||||
\(701\) | −33.9829 | − | 27.1005i | −1.28352 | − | 1.02357i | −0.997870 | − | 0.0652350i | \(-0.979220\pi\) |
−0.285646 | − | 0.958335i | \(-0.592208\pi\) | |||||||
\(702\) | 14.9865 | − | 29.6749i | 0.565629 | − | 1.12001i | ||||
\(703\) | −31.5415 | − | 33.9936i | −1.18961 | − | 1.28209i | ||||
\(704\) | 7.18688 | + | 4.14935i | 0.270866 | + | 0.156384i | ||||
\(705\) | −9.41884 | + | 1.59981i | −0.354734 | + | 0.0602524i | ||||
\(706\) | 5.08404 | − | 16.4821i | 0.191340 | − | 0.620310i | ||||
\(707\) | 10.0185 | − | 8.99267i | 0.376786 | − | 0.338204i | ||||
\(708\) | −102.516 | − | 67.1291i | −3.85280 | − | 2.52287i | ||||
\(709\) | 3.51828 | − | 15.4146i | 0.132132 | − | 0.578908i | −0.864902 | − | 0.501941i | \(-0.832619\pi\) |
0.997034 | − | 0.0769666i | \(-0.0245235\pi\) | |||||||
\(710\) | −19.0278 | − | 2.86797i | −0.714099 | − | 0.107633i | ||||
\(711\) | 47.3822 | − | 8.95998i | 1.77697 | − | 0.336026i | ||||
\(712\) | 36.7960 | − | 39.6566i | 1.37899 | − | 1.48620i | ||||
\(713\) | −9.52273 | + | 2.93737i | −0.356629 | + | 0.110005i | ||||
\(714\) | 24.2255 | + | 25.9971i | 0.906615 | + | 0.972918i | ||||
\(715\) | −5.09125 | − | 1.57044i | −0.190402 | − | 0.0587312i | ||||
\(716\) | −81.2758 | + | 46.9246i | −3.03742 | + | 1.75366i | ||||
\(717\) | 19.6012 | − | 16.2385i | 0.732019 | − | 0.606436i | ||||
\(718\) | −65.2654 | − | 20.1317i | −2.43568 | − | 0.751308i | ||||
\(719\) | −8.20207 | + | 5.59208i | −0.305886 | + | 0.208549i | −0.706528 | − | 0.707685i | \(-0.749739\pi\) |
0.400642 | + | 0.916235i | \(0.368787\pi\) | |||||||
\(720\) | 16.9792 | + | 19.7344i | 0.632776 | + | 0.735457i | ||||
\(721\) | −33.5964 | + | 7.08677i | −1.25120 | + | 0.263925i | ||||
\(722\) | −17.1676 | − | 6.73779i | −0.638912 | − | 0.250754i | ||||
\(723\) | 20.2723 | + | 15.5572i | 0.753933 | + | 0.578577i | ||||
\(724\) | 36.0675 | − | 28.7629i | 1.34044 | − | 1.06896i | ||||
\(725\) | −7.57610 | + | 15.7319i | −0.281369 | + | 0.584269i | ||||
\(726\) | −25.7929 | − | 14.2570i | −0.957265 | − | 0.529128i | ||||
\(727\) | 2.41502 | − | 3.54219i | 0.0895683 | − | 0.131373i | −0.778839 | − | 0.627223i | \(-0.784191\pi\) |
0.868408 | + | 0.495851i | \(0.165144\pi\) | |||||||
\(728\) | −44.5867 | − | 7.47511i | −1.65249 | − | 0.277046i | ||||
\(729\) | −22.8661 | + | 14.3576i | −0.846894 | + | 0.531762i | ||||
\(730\) | −0.936893 | + | 12.5020i | −0.0346760 | + | 0.462719i | ||||
\(731\) | 5.25223 | + | 4.87336i | 0.194261 | + | 0.180248i | ||||
\(732\) | −51.7182 | + | 4.84701i | −1.91156 | + | 0.179151i | ||||
\(733\) | 6.31179 | + | 2.47720i | 0.233131 | + | 0.0914973i | 0.479031 | − | 0.877798i | \(-0.340988\pi\) |
−0.245900 | + | 0.969295i | \(0.579083\pi\) | |||||||
\(734\) | 32.1689 | − | 55.7182i | 1.18738 | − | 2.05660i | ||||
\(735\) | −11.1070 | − | 5.54684i | −0.409686 | − | 0.204598i | ||||
\(736\) | −5.81987 | − | 10.0803i | −0.214523 | − | 0.371565i | ||||
\(737\) | −2.75761 | − | 18.2955i | −0.101578 | − | 0.673924i | ||||
\(738\) | 63.3725 | + | 63.3860i | 2.33278 | + | 2.33327i | ||||
\(739\) | 6.95172 | − | 2.14432i | 0.255723 | − | 0.0788801i | −0.164243 | − | 0.986420i | \(-0.552518\pi\) |
0.419966 | + | 0.907540i | \(0.362042\pi\) | |||||||
\(740\) | 39.0834 | − | 18.8216i | 1.43674 | − | 0.691896i | ||||
\(741\) | −21.0788 | − | 6.07392i | −0.774350 | − | 0.223131i | ||||
\(742\) | −4.09794 | − | 19.4272i | −0.150440 | − | 0.713195i | ||||
\(743\) | 21.3099 | + | 1.59695i | 0.781784 | + | 0.0585866i | 0.459641 | − | 0.888105i | \(-0.347978\pi\) |
0.322142 | + | 0.946691i | \(0.395597\pi\) | |||||||
\(744\) | 42.7172 | + | 70.9015i | 1.56609 | + | 2.59938i | ||||
\(745\) | 5.38325 | + | 7.89577i | 0.197227 | + | 0.289279i | ||||
\(746\) | −13.1605 | − | 5.16512i | −0.481841 | − | 0.189109i | ||||
\(747\) | 0.784283 | − | 0.0292624i | 0.0286954 | − | 0.00107065i | ||||
\(748\) | −23.0294 | + | 18.3653i | −0.842038 | + | 0.671503i | ||||
\(749\) | −1.02725 | − | 0.422867i | −0.0375350 | − | 0.0154512i | ||||
\(750\) | −35.1225 | + | 21.1608i | −1.28249 | + | 0.772684i | ||||
\(751\) | −1.21302 | − | 16.1867i | −0.0442639 | − | 0.590660i | −0.974600 | − | 0.223953i | \(-0.928104\pi\) |
0.930336 | − | 0.366708i | \(-0.119515\pi\) | |||||||
\(752\) | −10.1582 | − | 44.5061i | −0.370432 | − | 1.62297i | ||||
\(753\) | 0.305726 | − | 0.823824i | 0.0111413 | − | 0.0300218i | ||||
\(754\) | − | 28.2715i | − | 1.02959i | ||||||
\(755\) | −0.157630 | − | 0.690622i | −0.00573674 | − | 0.0251343i | ||||
\(756\) | 48.7564 | + | 41.7861i | 1.77325 | + | 1.51975i | ||||
\(757\) | 3.98659 | − | 17.4664i | 0.144895 | − | 0.634826i | −0.849362 | − | 0.527810i | \(-0.823013\pi\) |
0.994257 | − | 0.107016i | \(-0.0341296\pi\) | |||||||
\(758\) | 87.2410 | + | 19.9122i | 3.16874 | + | 0.723243i | ||||
\(759\) | −2.70065 | − | 4.48251i | −0.0980275 | − | 0.162705i | ||||
\(760\) | 22.5165 | − | 28.2348i | 0.816760 | − | 1.02418i | ||||
\(761\) | −20.8829 | + | 6.44152i | −0.757004 | + | 0.233505i | −0.649149 | − | 0.760662i | \(-0.724875\pi\) |
−0.107856 | + | 0.994167i | \(0.534398\pi\) | |||||||
\(762\) | −51.9644 | + | 79.3576i | −1.88247 | + | 2.87482i | ||||
\(763\) | −28.2383 | + | 13.0290i | −1.02229 | + | 0.471683i | ||||
\(764\) | −70.2402 | + | 16.0319i | −2.54120 | + | 0.580013i | ||||
\(765\) | −8.70562 | + | 3.04519i | −0.314752 | + | 0.110099i | ||||
\(766\) | −70.1566 | + | 40.5049i | −2.53486 | + | 1.46350i | ||||
\(767\) | −11.0595 | + | 35.8541i | −0.399336 | + | 1.29462i | ||||
\(768\) | 29.1251 | − | 28.0527i | 1.05096 | − | 1.01226i | ||||
\(769\) | −24.5843 | + | 9.64863i | −0.886532 | + | 0.347938i | −0.764527 | − | 0.644591i | \(-0.777028\pi\) |
−0.122005 | + | 0.992529i | \(0.538932\pi\) | |||||||
\(770\) | 7.55797 | − | 12.6055i | 0.272370 | − | 0.454272i | ||||
\(771\) | 23.7996 | + | 21.2709i | 0.857120 | + | 0.766051i | ||||
\(772\) | 6.10704 | + | 26.7567i | 0.219797 | + | 0.962995i | ||||
\(773\) | −6.96358 | + | 17.7429i | −0.250463 | + | 0.638168i | −0.999709 | − | 0.0241232i | \(-0.992321\pi\) |
0.749246 | + | 0.662291i | \(0.230416\pi\) | |||||||
\(774\) | 14.8767 | + | 10.9820i | 0.534733 | + | 0.394739i | ||||
\(775\) | −25.4839 | + | 10.0017i | −0.915407 | + | 0.359271i | ||||
\(776\) | 0.694615 | + | 0.473581i | 0.0249352 | + | 0.0170006i | ||||
\(777\) | 34.2915 | − | 23.4871i | 1.23020 | − | 0.842595i | ||||
\(778\) | −54.7429 | + | 37.3231i | −1.96263 | + | 1.33810i | ||||
\(779\) | 33.3169 | − | 48.8670i | 1.19370 | − | 1.75084i | ||||
\(780\) | 11.2414 | − | 17.1674i | 0.402508 | − | 0.614691i | ||||
\(781\) | 1.14211 | − | 15.2404i | 0.0408680 | − | 0.545345i | ||||
\(782\) | 11.0293 | − | 1.66241i | 0.394409 | − | 0.0594475i | ||||
\(783\) | −11.8535 | + | 19.6649i | −0.423611 | + | 0.702767i | ||||
\(784\) | 23.4841 | − | 54.4762i | 0.838717 | − | 1.94558i | ||||
\(785\) | −19.5906 | + | 11.3107i | −0.699220 | + | 0.403695i | ||||
\(786\) | 18.0837 | − | 20.2336i | 0.645026 | − | 0.721707i | ||||
\(787\) | −19.0502 | − | 39.5581i | −0.679065 | − | 1.41009i | −0.900473 | − | 0.434912i | \(-0.856779\pi\) |
0.221408 | − | 0.975181i | \(-0.428935\pi\) | |||||||
\(788\) | 71.5410 | + | 16.3288i | 2.54854 | + | 0.581689i | ||||
\(789\) | 11.3703 | − | 24.7824i | 0.404793 | − | 0.882277i | ||||
\(790\) | 42.3920 | − | 3.17684i | 1.50824 | − | 0.113027i | ||||
\(791\) | 38.7931 | + | 15.9691i | 1.37933 | + | 0.567797i | ||||
\(792\) | −30.7400 | + | 30.7334i | −1.09230 | + | 1.09206i | ||||
\(793\) | 5.81085 | + | 14.8058i | 0.206349 | + | 0.525769i | ||||
\(794\) | 7.10964 | − | 4.84727i | 0.252312 | − | 0.172023i | ||||
\(795\) | 5.04448 | + | 1.05281i | 0.178909 | + | 0.0373394i | ||||
\(796\) | 37.4827 | + | 40.3967i | 1.32854 | + | 1.43182i | ||||
\(797\) | −33.7261 | + | 5.08339i | −1.19464 | + | 0.180063i | −0.716097 | − | 0.698001i | \(-0.754073\pi\) |
−0.478543 | + | 0.878064i | \(0.658835\pi\) | |||||||
\(798\) | 30.1448 | − | 52.4712i | 1.06712 | − | 1.85746i | ||||
\(799\) | 15.9920 | + | 2.41041i | 0.565757 | + | 0.0852741i | ||||
\(800\) | −18.0126 | − | 26.4196i | −0.636840 | − | 0.934073i | ||||
\(801\) | 12.5153 | + | 19.9226i | 0.442205 | + | 0.703931i | ||||
\(802\) | 32.8106 | + | 56.8296i | 1.15858 | + | 2.00672i | ||||
\(803\) | −9.95732 | −0.351386 | ||||||||
\(804\) | 70.6504 | + | 9.30512i | 2.49165 | + | 0.328166i | ||||
\(805\) | −3.40653 | + | 1.89248i | −0.120064 | + | 0.0667011i | ||||
\(806\) | 30.1489 | − | 32.4927i | 1.06195 | − | 1.14451i | ||||
\(807\) | 0.857162 | − | 15.2487i | 0.0301735 | − | 0.536780i | ||||
\(808\) | −32.6734 | + | 12.8234i | −1.14945 | + | 0.451125i | ||||
\(809\) | 1.36563 | − | 9.06037i | 0.0480130 | − | 0.318546i | −0.951913 | − | 0.306369i | \(-0.900886\pi\) |
0.999926 | − | 0.0121766i | \(-0.00387603\pi\) | |||||||
\(810\) | −21.4473 | + | 10.3229i | −0.753582 | + | 0.362709i | ||||
\(811\) | 11.7004 | + | 2.67054i | 0.410856 | + | 0.0937752i | 0.422953 | − | 0.906152i | \(-0.360994\pi\) |
−0.0120970 | + | 0.999927i | \(0.503851\pi\) | |||||||
\(812\) | 53.0303 | + | 13.0285i | 1.86100 | + | 0.457210i | ||||
\(813\) | −28.5337 | − | 21.8971i | −1.00072 | − | 0.767963i | ||||
\(814\) | 24.6030 | + | 42.6136i | 0.862334 | + | 1.49361i | ||||
\(815\) | 8.71934 | 0.305425 | ||||||||
\(816\) | −16.8625 | − | 40.7158i | −0.590306 | − | 1.42534i | ||||
\(817\) | 5.29400 | − | 10.9931i | 0.185214 | − | 0.384600i | ||||
\(818\) | −39.8049 | + | 49.9138i | −1.39175 | + | 1.74519i | ||||
\(819\) | 8.16085 | − | 17.8880i | 0.285163 | − | 0.625057i | ||||
\(820\) | 34.4953 | + | 43.2557i | 1.20463 | + | 1.51055i | ||||
\(821\) | −50.7760 | + | 11.5893i | −1.77209 | + | 0.404469i | −0.978874 | − | 0.204466i | \(-0.934454\pi\) |
−0.793220 | + | 0.608935i | \(0.791597\pi\) | |||||||
\(822\) | −0.480618 | + | 2.30285i | −0.0167635 | + | 0.0803210i | ||||
\(823\) | −10.0587 | − | 4.84400i | −0.350623 | − | 0.168851i | 0.250279 | − | 0.968174i | \(-0.419478\pi\) |
−0.600902 | + | 0.799323i | \(0.705192\pi\) | |||||||
\(824\) | 88.5210 | + | 13.3424i | 3.08377 | + | 0.464804i | ||||
\(825\) | −8.31848 | − | 11.7251i | −0.289612 | − | 0.408216i | ||||
\(826\) | −88.7718 | − | 53.2254i | −3.08876 | − | 1.85195i | ||||
\(827\) | −12.0242 | + | 24.9685i | −0.418122 | + | 0.868238i | 0.580424 | + | 0.814315i | \(0.302887\pi\) |
−0.998545 | + | 0.0539235i | \(0.982827\pi\) | |||||||
\(828\) | 19.4693 | − | 5.21457i | 0.676605 | − | 0.181219i | ||||
\(829\) | −12.0719 | − | 39.1362i | −0.419275 | − | 1.35926i | −0.881370 | − | 0.472426i | \(-0.843378\pi\) |
0.462095 | − | 0.886830i | \(-0.347098\pi\) | |||||||
\(830\) | 0.689944 | + | 0.0517042i | 0.0239483 | + | 0.00179468i | ||||
\(831\) | −6.78885 | + | 32.5283i | −0.235502 | + | 1.12839i | ||||
\(832\) | 8.47550 | + | 4.89333i | 0.293835 | + | 0.169646i | ||||
\(833\) | 14.9257 | + | 14.7954i | 0.517144 | + | 0.512631i | ||||
\(834\) | −6.62136 | − | 7.99253i | −0.229279 | − | 0.276759i | ||||
\(835\) | −4.56827 | − | 5.72843i | −0.158091 | − | 0.198240i | ||||
\(836\) | 41.4454 | + | 28.2570i | 1.43342 | + | 0.977289i | ||||
\(837\) | −34.5941 | + | 9.96042i | −1.19575 | + | 0.344282i | ||||
\(838\) | 43.3352 | + | 3.24753i | 1.49699 | + | 0.112184i | ||||
\(839\) | 1.04066 | + | 13.8866i | 0.0359274 | + | 0.479418i | 0.985928 | + | 0.167170i | \(0.0534629\pi\) |
−0.950001 | + | 0.312248i | \(0.898918\pi\) | |||||||
\(840\) | 22.0669 | + | 23.6808i | 0.761382 | + | 0.817064i | ||||
\(841\) | 0.707957 | − | 9.44703i | 0.0244123 | − | 0.325759i | ||||
\(842\) | −6.30604 | + | 41.8378i | −0.217320 | + | 1.44183i | ||||
\(843\) | 13.4879 | − | 46.8081i | 0.464547 | − | 1.61216i | ||||
\(844\) | −95.9266 | + | 14.4586i | −3.30193 | + | 0.497686i | ||||
\(845\) | 6.71611 | + | 2.07164i | 0.231041 | + | 0.0712667i | ||||
\(846\) | 41.7089 | + | 1.56508i | 1.43398 | + | 0.0538084i | ||||
\(847\) | −15.5768 | − | 7.82075i | −0.535225 | − | 0.268724i | ||||
\(848\) | −3.66992 | + | 24.3483i | −0.126026 | + | 0.836126i | ||||
\(849\) | −5.40751 | − | 5.61423i | −0.185585 | − | 0.192680i | ||||
\(850\) | 29.8729 | − | 6.81829i | 1.02463 | − | 0.233865i | ||||
\(851\) | − | 13.0464i | − | 0.447223i | ||||||
\(852\) | 55.1851 | + | 20.4795i | 1.89061 | + | 0.701617i | ||||
\(853\) | 29.1355 | + | 31.4006i | 0.997581 | + | 1.07514i | 0.997173 | + | 0.0751369i | \(0.0239394\pi\) |
0.000407934 | 1.00000i | \(0.499870\pi\) | ||||||||
\(854\) | −43.4882 | + | 5.82230i | −1.48814 | + | 0.199235i | ||||
\(855\) | 9.32521 | + | 12.6380i | 0.318915 | + | 0.432211i | ||||
\(856\) | 2.12316 | + | 1.97000i | 0.0725680 | + | 0.0673332i | ||||
\(857\) | −5.62341 | − | 14.3282i | −0.192092 | − | 0.489442i | 0.802084 | − | 0.597211i | \(-0.203725\pi\) |
−0.994176 | + | 0.107769i | \(0.965629\pi\) | |||||||
\(858\) | 20.3717 | + | 11.2605i | 0.695480 | + | 0.384426i | ||||
\(859\) | −6.54684 | − | 21.2243i | −0.223375 | − | 0.724165i | −0.996004 | − | 0.0893070i | \(-0.971535\pi\) |
0.772629 | − | 0.634858i | \(-0.218941\pi\) | |||||||
\(860\) | 8.36692 | + | 7.76336i | 0.285309 | + | 0.264729i | ||||
\(861\) | 38.9365 | + | 35.9732i | 1.32695 | + | 1.22596i | ||||
\(862\) | −60.7463 | + | 56.3643i | −2.06903 | + | 1.91978i | ||||
\(863\) | 4.92071 | + | 2.84097i | 0.167503 | + | 0.0967078i | 0.581408 | − | 0.813612i | \(-0.302502\pi\) |
−0.413905 | + | 0.910320i | \(0.635835\pi\) | |||||||
\(864\) | −20.3334 | − | 36.8043i | −0.691756 | − | 1.25211i | ||||
\(865\) | 3.30550 | − | 3.06706i | 0.112390 | − | 0.104283i | ||||
\(866\) | −1.54248 | − | 0.742818i | −0.0524155 | − | 0.0252420i | ||||
\(867\) | −13.8300 | + | 0.257915i | −0.469690 | + | 0.00875924i | ||||
\(868\) | 47.0547 | + | 71.5254i | 1.59714 | + | 2.42773i | ||||
\(869\) | 5.03219 | + | 33.3864i | 0.170705 | + | 1.13256i | ||||
\(870\) | −12.3233 | + | 16.0582i | −0.417798 | + | 0.544425i | ||||
\(871\) | −3.25205 | − | 21.5759i | −0.110192 | − | 0.731073i | ||||
\(872\) | 80.8556 | − | 6.05929i | 2.73812 | − | 0.205194i | ||||
\(873\) | −0.277157 | + | 0.238462i | −0.00938034 | + | 0.00807070i | ||||
\(874\) | −8.24143 | − | 17.1135i | −0.278770 | − | 0.578873i | ||||
\(875\) | −20.2600 | + | 13.3285i | −0.684913 | + | 0.450586i | ||||
\(876\) | 10.6187 | − | 36.8509i | 0.358772 | − | 1.24508i | ||||
\(877\) | 26.5122 | + | 18.0757i | 0.895254 | + | 0.610374i | 0.921115 | − | 0.389291i | \(-0.127280\pi\) |
−0.0258602 | + | 0.999666i | \(0.508232\pi\) | |||||||
\(878\) | −8.67456 | + | 38.0057i | −0.292752 | + | 1.28263i | ||||
\(879\) | −25.1839 | − | 11.5545i | −0.849432 | − | 0.389724i | ||||
\(880\) | −14.2510 | + | 11.3648i | −0.480402 | + | 0.383108i | ||||
\(881\) | 4.96507 | 0.167277 | 0.0836387 | − | 0.996496i | \(-0.473346\pi\) | ||||
0.0836387 | + | 0.996496i | \(0.473346\pi\) | |||||||
\(882\) | 42.5496 | + | 33.6355i | 1.43272 | + | 1.13257i | ||||
\(883\) | 22.7767 | 0.766498 | 0.383249 | − | 0.923645i | \(-0.374805\pi\) | ||||
0.383249 | + | 0.923645i | \(0.374805\pi\) | |||||||
\(884\) | −27.1586 | + | 21.6583i | −0.913443 | + | 0.728447i | ||||
\(885\) | 21.9102 | − | 15.5444i | 0.736504 | − | 0.522519i | ||||
\(886\) | −11.4818 | + | 50.3052i | −0.385740 | + | 1.69004i | ||||
\(887\) | 3.37143 | + | 2.29860i | 0.113201 | + | 0.0771794i | 0.618597 | − | 0.785708i | \(-0.287701\pi\) |
−0.505396 | + | 0.862888i | \(0.668654\pi\) | |||||||
\(888\) | −105.181 | + | 26.0794i | −3.52965 | + | 0.875168i | ||||
\(889\) | −28.8487 | + | 48.1153i | −0.967556 | + | 1.61373i | ||||
\(890\) | 8.99920 | + | 18.6870i | 0.301654 | + | 0.626390i | ||||
\(891\) | −9.44880 | − | 16.3738i | −0.316547 | − | 0.548544i | ||||
\(892\) | 60.7181 | − | 4.55019i | 2.03299 | − | 0.152352i | ||||
\(893\) | −4.10480 | − | 27.2335i | −0.137362 | − | 0.911336i | ||||
\(894\) | −15.9748 | − | 38.5723i | −0.534276 | − | 1.29005i | ||||
\(895\) | −3.06647 | − | 20.3447i | −0.102501 | − | 0.680048i | ||||
\(896\) | 10.9515 | − | 11.4189i | 0.365865 | − | 0.381480i | ||||
\(897\) | −3.18489 | − | 5.28624i | −0.106340 | − | 0.176502i | ||||
\(898\) | 55.5818 | + | 26.7668i | 1.85479 | + | 0.893218i | ||||
\(899\) | −22.4420 | + | 20.8231i | −0.748482 | + | 0.694489i | ||||
\(900\) | 52.2643 | − | 18.2819i | 1.74214 | − | 0.609395i | ||||
\(901\) | −7.55462 | − | 4.36166i | −0.251681 | − | 0.145308i | ||||
\(902\) | −46.0044 | + | 42.6859i | −1.53178 | + | 1.42128i | ||||
\(903\) | 9.04899 | + | 6.14120i | 0.301132 | + | 0.204366i | ||||
\(904\) | −80.1788 | − | 74.3950i | −2.66671 | − | 2.47434i | ||||
\(905\) | 2.98101 | + | 9.66418i | 0.0990920 | + | 0.321248i | ||||
\(906\) | 0.0577044 | + | 3.09424i | 0.00191710 | + | 0.102799i | ||||
\(907\) | −1.60963 | − | 4.10126i | −0.0534467 | − | 0.136180i | 0.901657 | − | 0.432452i | \(-0.142352\pi\) |
−0.955104 | + | 0.296272i | \(0.904256\pi\) | |||||||
\(908\) | −31.6397 | − | 29.3574i | −1.05000 | − | 0.974259i | ||||
\(909\) | −1.70753 | − | 15.1692i | −0.0566352 | − | 0.503132i | ||||
\(910\) | 8.91313 | − | 14.8657i | 0.295467 | − | 0.492794i | ||||
\(911\) | 30.5881 | + | 32.9661i | 1.01343 | + | 1.09222i | 0.995724 | + | 0.0923731i | \(0.0294452\pi\) |
0.0177042 | + | 0.999843i | \(0.494364\pi\) | |||||||
\(912\) | −57.7923 | + | 47.8776i | −1.91369 | + | 1.58539i | ||||
\(913\) | 0.549513i | 0.0181862i | ||||||||
\(914\) | 47.5209 | − | 10.8463i | 1.57185 | − | 0.358765i | ||||
\(915\) | 3.15313 | − | 10.9426i | 0.104239 | − | 0.361750i | ||||
\(916\) | 12.9147 | − | 85.6835i | 0.426714 | − | 2.83106i | ||||
\(917\) | 10.2125 | − | 12.3811i | 0.337246 | − | 0.408861i | ||||
\(918\) | 39.9488 | − | 5.25288i | 1.31851 | − | 0.173371i | ||||
\(919\) | −0.361235 | − | 0.111426i | −0.0119160 | − | 0.00367561i | 0.288791 | − | 0.957392i | \(-0.406747\pi\) |
−0.300707 | + | 0.953716i | \(0.597223\pi\) | |||||||
\(920\) | 10.0466 | − | 1.51429i | 0.331227 | − | 0.0499245i | ||||
\(921\) | −17.2185 | − | 17.8768i | −0.567370 | − | 0.589059i | ||||
\(922\) | −6.56278 | + | 43.5412i | −0.216133 | + | 1.43395i | ||||
\(923\) | 1.34690 | − | 17.9731i | 0.0443336 | − | 0.591591i | ||||
\(924\) | −30.5098 | + | 33.0231i | −1.00370 | + | 1.08638i | ||||
\(925\) | −2.67831 | − | 35.7396i | −0.0880624 | − | 1.17511i | ||||
\(926\) | −75.1955 | − | 5.63512i | −2.47108 | − | 0.185182i | ||||
\(927\) | −15.5728 | + | 35.6829i | −0.511478 | + | 1.17198i | ||||
\(928\) | −29.5446 | − | 20.1431i | −0.969848 | − | 0.661231i | ||||
\(929\) | −5.31204 | − | 6.66108i | −0.174282 | − | 0.218543i | 0.687017 | − | 0.726642i | \(-0.258920\pi\) |
−0.861299 | + | 0.508099i | \(0.830349\pi\) | |||||||
\(930\) | −31.2878 | + | 5.31430i | −1.02597 | + | 0.174263i | ||||
\(931\) | 16.5845 | − | 31.7150i | 0.543534 | − | 1.03942i | ||||
\(932\) | −33.2757 | − | 19.2118i | −1.08998 | − | 0.629302i | ||||
\(933\) | −36.4624 | + | 11.9962i | −1.19373 | + | 0.392736i | ||||
\(934\) | −82.8734 | − | 6.21050i | −2.71170 | − | 0.203214i | ||||
\(935\) | −1.90340 | − | 6.17066i | −0.0622477 | − | 0.201802i | ||||
\(936\) | −36.2517 | + | 36.2440i | −1.18492 | + | 1.18467i | ||||
\(937\) | 3.22370 | − | 6.69409i | 0.105314 | − | 0.218686i | −0.841652 | − | 0.540020i | \(-0.818417\pi\) |
0.946966 | + | 0.321333i | \(0.104131\pi\) | |||||||
\(938\) | 59.9409 | + | 5.48838i | 1.95714 | + | 0.179202i | ||||
\(939\) | −28.4801 | + | 2.66914i | −0.929412 | + | 0.0871041i | ||||
\(940\) | 25.4756 | + | 3.83983i | 0.830923 | + | 0.125241i | ||||
\(941\) | −4.61024 | − | 2.22018i | −0.150290 | − | 0.0723757i | 0.357227 | − | 0.934018i | \(-0.383722\pi\) |
−0.507517 | + | 0.861642i | \(0.669436\pi\) | |||||||
\(942\) | 93.8776 | − | 30.8858i | 3.05870 | − | 1.00631i | ||||
\(943\) | 16.2222 | − | 3.70260i | 0.528266 | − | 0.120573i | ||||
\(944\) | 80.0344 | + | 100.360i | 2.60490 | + | 3.26644i | ||||
\(945\) | −12.4325 | + | 6.60315i | −0.404431 | + | 0.214800i | ||||
\(946\) | −8.07226 | + | 10.1223i | −0.262452 | + | 0.329104i | ||||
\(947\) | 5.60145 | − | 11.6315i | 0.182023 | − | 0.377974i | −0.789914 | − | 0.613218i | \(-0.789875\pi\) |
0.971936 | + | 0.235244i | \(0.0755890\pi\) | |||||||
\(948\) | −128.926 | − | 16.9803i | −4.18731 | − | 0.551496i | ||||
\(949\) | −11.7427 | −0.381184 | ||||||||
\(950\) | −26.0901 | − | 45.1894i | −0.846475 | − | 1.46614i | ||||
\(951\) | −5.18523 | + | 39.3696i | −0.168143 | + | 1.27665i | ||||
\(952\) | −22.9560 | − | 49.7533i | −0.744007 | − | 1.61251i | ||||
\(953\) | 11.4109 | + | 2.60446i | 0.369635 | + | 0.0843667i | 0.403303 | − | 0.915066i | \(-0.367862\pi\) |
−0.0336687 | + | 0.999433i | \(0.510719\pi\) | |||||||
\(954\) | −20.6337 | − | 9.00501i | −0.668041 | − | 0.291548i | ||||
\(955\) | 2.35408 | − | 15.6183i | 0.0761762 | − | 0.505396i | ||||
\(956\) | −63.8957 | + | 25.0772i | −2.06653 | + | 0.811055i | ||||
\(957\) | −13.4497 | − | 8.80707i | −0.434768 | − | 0.284692i | ||||
\(958\) | 61.6065 | − | 66.3960i | 1.99042 | − | 2.14516i | ||||
\(959\) | −0.230047 | + | 1.37216i | −0.00742859 | + | 0.0443093i | ||||
\(960\) | −2.68113 | − | 6.47380i | −0.0865332 | − | 0.208941i | ||||
\(961\) | −16.9986 | −0.548341 | ||||||||
\(962\) | 29.0144 | + | 50.2543i | 0.935460 | + | 1.62027i | ||||
\(963\) | −1.06663 | + | 0.670048i | −0.0343716 | + | 0.0215920i | ||||
\(964\) | −38.8184 | − | 56.9361i | −1.25026 | − | 1.83379i | ||||
\(965\) | −5.94950 | − | 0.896742i | −0.191521 | − | 0.0288672i | ||||
\(966\) | 16.2577 | − | 5.05291i | 0.523081 | − | 0.162575i | ||||
\(967\) | 5.49897 | − | 0.828837i | 0.176835 | − | 0.0266536i | −0.0600277 | − | 0.998197i | \(-0.519119\pi\) |
0.236863 | + | 0.971543i | \(0.423881\pi\) | |||||||
\(968\) | 30.9095 | + | 33.3125i | 0.993468 | + | 1.07070i | ||||
\(969\) | −8.30909 | − | 25.2555i | −0.266926 | − | 0.811325i | ||||
\(970\) | −0.266314 | + | 0.181570i | −0.00855082 | + | 0.00582985i | ||||
\(971\) | 2.10093 | + | 5.35308i | 0.0674221 | + | 0.171789i | 0.960613 | − | 0.277888i | \(-0.0896344\pi\) |
−0.893191 | + | 0.449677i | \(0.851539\pi\) | |||||||
\(972\) | 70.6741 | − | 17.5075i | 2.26687 | − | 0.561555i | ||||
\(973\) | −4.10031 | − | 4.56807i | −0.131450 | − | 0.146445i | ||||
\(974\) | 25.4587 | − | 1.90786i | 0.815748 | − | 0.0611318i | ||||
\(975\) | −9.81000 | − | 13.8275i | −0.314172 | − | 0.442833i | ||||
\(976\) | 53.0501 | + | 12.1083i | 1.69809 | + | 0.387578i | ||||
\(977\) | 11.3751 | + | 23.6205i | 0.363920 | + | 0.755688i | 0.999871 | − | 0.0160413i | \(-0.00510631\pi\) |
−0.635951 | + | 0.771729i | \(0.719392\pi\) | |||||||
\(978\) | −37.2895 | − | 7.78255i | −1.19239 | − | 0.248858i | ||||
\(979\) | −14.2662 | + | 8.23660i | −0.455950 | + | 0.263243i | ||||
\(980\) | 23.7769 | + | 23.5694i | 0.759526 | + | 0.752897i | ||||
\(981\) | −6.55950 | + | 34.6477i | −0.209429 | + | 1.10621i | ||||
\(982\) | −29.1953 | + | 4.40048i | −0.931658 | + | 0.140425i | ||||
\(983\) | 0.756379 | − | 10.0932i | 0.0241247 | − | 0.321922i | −0.972065 | − | 0.234711i | \(-0.924586\pi\) |
0.996190 | − | 0.0872110i | \(-0.0277954\pi\) | |||||||
\(984\) | −62.2786 | − | 123.383i | −1.98537 | − | 3.93332i | ||||
\(985\) | −9.06225 | + | 13.2919i | −0.288747 | + | 0.423515i | ||||
\(986\) | 28.3114 | − | 19.3024i | 0.901620 | − | 0.614714i | ||||
\(987\) | 24.6850 | − | 0.0527794i | 0.785733 | − | 0.00167999i | ||||
\(988\) | 48.8767 | + | 33.3235i | 1.55497 | + | 1.06016i | ||||
\(989\) | 3.19542 | − | 1.25411i | 0.101608 | − | 0.0398783i | ||||
\(990\) | −6.66282 | − | 15.2758i | −0.211758 | − | 0.485496i | ||||
\(991\) | 3.85760 | − | 9.82900i | 0.122541 | − | 0.312228i | −0.856419 | − | 0.516281i | \(-0.827316\pi\) |
0.978960 | + | 0.204052i | \(0.0654113\pi\) | |||||||
\(992\) | −12.4751 | − | 54.6571i | −0.396086 | − | 1.73536i | ||||
\(993\) | −54.6519 | + | 17.9805i | −1.73433 | + | 0.570595i | ||||
\(994\) | 47.2622 | + | 15.4374i | 1.49907 | + | 0.489644i | ||||
\(995\) | −11.2461 | + | 4.41375i | −0.356524 | + | 0.139925i | ||||
\(996\) | −2.03368 | − | 0.586011i | −0.0644397 | − | 0.0185685i | ||||
\(997\) | 6.60897 | − | 21.4258i | 0.209308 | − | 0.678561i | −0.788659 | − | 0.614831i | \(-0.789224\pi\) |
0.997967 | − | 0.0637298i | \(-0.0202996\pi\) | |||||||
\(998\) | 15.3693 | − | 8.87345i | 0.486506 | − | 0.280884i | ||||
\(999\) | 0.888768 | − | 47.1205i | 0.0281194 | − | 1.49083i |
(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 | 441.2.bn.a.5.3 | yes | 648 | |
9.2 | odd | 6 | 441.2.bd.a.299.3 | yes | 648 | ||
49.10 | odd | 42 | 441.2.bd.a.59.3 | ✓ | 648 | ||
441.353 | even | 42 | inner | 441.2.bn.a.353.3 | yes | 648 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
441.2.bd.a.59.3 | ✓ | 648 | 49.10 | odd | 42 | ||
441.2.bd.a.299.3 | yes | 648 | 9.2 | odd | 6 | ||
441.2.bn.a.5.3 | yes | 648 | 1.1 | even | 1 | trivial | |
441.2.bn.a.353.3 | yes | 648 | 441.353 | even | 42 | inner |