Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [403,2,Mod(118,403)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(403, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("403.118");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 403 = 13 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 403.h (of order \(3\), degree \(2\), 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: | \(3.21797120146\) |
Analytic rank: | \(0\) |
Dimension: | \(34\) |
Relative dimension: | \(17\) over \(\Q(\zeta_{3})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 118.15 | ||
Character | \(\chi\) | \(=\) | 403.118 |
Dual form | 403.2.h.b.222.15 |
$q$-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 \(\left(\mathbb{Z}/403\mathbb{Z}\right)^\times\).
\(n\) | \(249\) | \(313\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 2.35132 | 1.66263 | 0.831316 | − | 0.555800i | \(-0.187588\pi\) | ||||
0.831316 | + | 0.555800i | \(0.187588\pi\) | |||||||
\(3\) | 1.34746 | + | 2.33387i | 0.777957 | + | 1.34746i | 0.933118 | + | 0.359571i | \(0.117077\pi\) |
−0.155161 | + | 0.987889i | \(0.549590\pi\) | |||||||
\(4\) | 3.52869 | 1.76435 | ||||||||
\(5\) | −0.0458962 | + | 0.0794945i | −0.0205254 | + | 0.0355510i | −0.876106 | − | 0.482119i | \(-0.839867\pi\) |
0.855580 | + | 0.517670i | \(0.173201\pi\) | |||||||
\(6\) | 3.16831 | + | 5.48767i | 1.29346 | + | 2.24033i | ||||
\(7\) | −2.00349 | − | 3.47014i | −0.757247 | − | 1.31159i | −0.944249 | − | 0.329231i | \(-0.893211\pi\) |
0.187002 | − | 0.982359i | \(-0.440123\pi\) | |||||||
\(8\) | 3.59444 | 1.27083 | ||||||||
\(9\) | −2.13130 | + | 3.69152i | −0.710433 | + | 1.23051i | ||||
\(10\) | −0.107916 | + | 0.186917i | −0.0341262 | + | 0.0591083i | ||||
\(11\) | 0.00492632 | − | 0.00853264i | 0.00148534 | − | 0.00257269i | −0.865282 | − | 0.501286i | \(-0.832861\pi\) |
0.866767 | + | 0.498713i | \(0.166194\pi\) | |||||||
\(12\) | 4.75477 | + | 8.23551i | 1.37258 | + | 2.37739i | ||||
\(13\) | −0.500000 | + | 0.866025i | −0.138675 | + | 0.240192i | ||||
\(14\) | −4.71083 | − | 8.15940i | −1.25902 | − | 2.18069i | ||||
\(15\) | −0.247373 | −0.0638714 | ||||||||
\(16\) | 1.39429 | 0.348571 | ||||||||
\(17\) | −1.21467 | − | 2.10386i | −0.294600 | − | 0.510262i | 0.680292 | − | 0.732941i | \(-0.261853\pi\) |
−0.974892 | + | 0.222679i | \(0.928520\pi\) | |||||||
\(18\) | −5.01136 | + | 8.67993i | −1.18119 | + | 2.04588i | ||||
\(19\) | −2.38331 | − | 4.12801i | −0.546768 | − | 0.947030i | −0.998493 | − | 0.0548729i | \(-0.982525\pi\) |
0.451725 | − | 0.892157i | \(-0.350809\pi\) | |||||||
\(20\) | −0.161953 | + | 0.280512i | −0.0362139 | + | 0.0627243i | ||||
\(21\) | 5.39924 | − | 9.35176i | 1.17821 | − | 2.04072i | ||||
\(22\) | 0.0115833 | − | 0.0200629i | 0.00246958 | − | 0.00427743i | ||||
\(23\) | −0.809767 | −0.168848 | −0.0844240 | − | 0.996430i | \(-0.526905\pi\) | ||||
−0.0844240 | + | 0.996430i | \(0.526905\pi\) | |||||||
\(24\) | 4.84337 | + | 8.38896i | 0.988648 | + | 1.71239i | ||||
\(25\) | 2.49579 | + | 4.32283i | 0.499157 | + | 0.864566i | ||||
\(26\) | −1.17566 | + | 2.03630i | −0.230566 | + | 0.399351i | ||||
\(27\) | −3.40260 | −0.654830 | ||||||||
\(28\) | −7.06969 | − | 12.2451i | −1.33605 | − | 2.31410i | ||||
\(29\) | 2.84116 | 0.527590 | 0.263795 | − | 0.964579i | \(-0.415026\pi\) | ||||
0.263795 | + | 0.964579i | \(0.415026\pi\) | |||||||
\(30\) | −0.581652 | −0.106195 | ||||||||
\(31\) | −0.597915 | + | 5.53557i | −0.107389 | + | 0.994217i | ||||
\(32\) | −3.91047 | −0.691281 | ||||||||
\(33\) | 0.0265521 | 0.00462212 | ||||||||
\(34\) | −2.85607 | − | 4.94685i | −0.489811 | − | 0.848378i | ||||
\(35\) | 0.367810 | 0.0621712 | ||||||||
\(36\) | −7.52070 | + | 13.0262i | −1.25345 | + | 2.17104i | ||||
\(37\) | −2.80734 | − | 4.86245i | −0.461524 | − | 0.799382i | 0.537514 | − | 0.843255i | \(-0.319364\pi\) |
−0.999037 | + | 0.0438729i | \(0.986030\pi\) | |||||||
\(38\) | −5.60391 | − | 9.70626i | −0.909074 | − | 1.57456i | ||||
\(39\) | −2.69492 | −0.431533 | ||||||||
\(40\) | −0.164971 | + | 0.285738i | −0.0260842 | + | 0.0451792i | ||||
\(41\) | −2.56912 | + | 4.44985i | −0.401229 | + | 0.694950i | −0.993875 | − | 0.110514i | \(-0.964750\pi\) |
0.592645 | + | 0.805464i | \(0.298084\pi\) | |||||||
\(42\) | 12.6953 | − | 21.9889i | 1.95893 | − | 3.39297i | ||||
\(43\) | 5.90557 | + | 10.2288i | 0.900592 | + | 1.55987i | 0.826728 | + | 0.562602i | \(0.190200\pi\) |
0.0738639 | + | 0.997268i | \(0.476467\pi\) | |||||||
\(44\) | 0.0173835 | − | 0.0301091i | 0.00262066 | − | 0.00453911i | ||||
\(45\) | −0.195637 | − | 0.338853i | −0.0291638 | − | 0.0505132i | ||||
\(46\) | −1.90402 | −0.280732 | ||||||||
\(47\) | 7.29512 | 1.06410 | 0.532051 | − | 0.846712i | \(-0.321421\pi\) | ||||
0.532051 | + | 0.846712i | \(0.321421\pi\) | |||||||
\(48\) | 1.87874 | + | 3.25408i | 0.271173 | + | 0.469686i | ||||
\(49\) | −4.52792 | + | 7.84259i | −0.646846 | + | 1.12037i | ||||
\(50\) | 5.86839 | + | 10.1643i | 0.829915 | + | 1.43746i | ||||
\(51\) | 3.27343 | − | 5.66975i | 0.458372 | − | 0.793924i | ||||
\(52\) | −1.76435 | + | 3.05594i | −0.244671 | + | 0.423782i | ||||
\(53\) | 1.42173 | − | 2.46251i | 0.195290 | − | 0.338252i | −0.751706 | − | 0.659499i | \(-0.770769\pi\) |
0.946995 | + | 0.321247i | \(0.104102\pi\) | |||||||
\(54\) | −8.00058 | −1.08874 | ||||||||
\(55\) | 0.000452198 | 0 | 0.000783231i | 6.09744e−5 | 0 | 0.000105611i | ||||
\(56\) | −7.20142 | − | 12.4732i | −0.962330 | − | 1.66680i | ||||
\(57\) | 6.42282 | − | 11.1247i | 0.850723 | − | 1.47350i | ||||
\(58\) | 6.68046 | 0.877188 | ||||||||
\(59\) | −7.22838 | − | 12.5199i | −0.941055 | − | 1.62996i | −0.763464 | − | 0.645851i | \(-0.776503\pi\) |
−0.177591 | − | 0.984104i | \(-0.556830\pi\) | |||||||
\(60\) | −0.872903 | −0.112691 | ||||||||
\(61\) | 11.7898 | 1.50953 | 0.754766 | − | 0.655995i | \(-0.227751\pi\) | ||||
0.754766 | + | 0.655995i | \(0.227751\pi\) | |||||||
\(62\) | −1.40589 | + | 13.0159i | −0.178548 | + | 1.65302i | ||||
\(63\) | 17.0801 | 2.15189 | ||||||||
\(64\) | −11.9833 | −1.49792 | ||||||||
\(65\) | −0.0458962 | − | 0.0794945i | −0.00569272 | − | 0.00986008i | ||||
\(66\) | 0.0624324 | 0.00768489 | ||||||||
\(67\) | −2.78471 | + | 4.82326i | −0.340207 | + | 0.589255i | −0.984471 | − | 0.175548i | \(-0.943830\pi\) |
0.644264 | + | 0.764803i | \(0.277164\pi\) | |||||||
\(68\) | −4.28619 | − | 7.42389i | −0.519776 | − | 0.900279i | ||||
\(69\) | −1.09113 | − | 1.88989i | −0.131356 | − | 0.227516i | ||||
\(70\) | 0.864837 | 0.103368 | ||||||||
\(71\) | −1.09821 | + | 1.90216i | −0.130334 | + | 0.225745i | −0.923805 | − | 0.382862i | \(-0.874938\pi\) |
0.793471 | + | 0.608608i | \(0.208272\pi\) | |||||||
\(72\) | −7.66082 | + | 13.2689i | −0.902837 | + | 1.56376i | ||||
\(73\) | 1.50859 | − | 2.61295i | 0.176567 | − | 0.305823i | −0.764135 | − | 0.645056i | \(-0.776834\pi\) |
0.940702 | + | 0.339233i | \(0.110167\pi\) | |||||||
\(74\) | −6.60094 | − | 11.4332i | −0.767344 | − | 1.32908i | ||||
\(75\) | −6.72595 | + | 11.6497i | −0.776646 | + | 1.34519i | ||||
\(76\) | −8.40996 | − | 14.5665i | −0.964688 | − | 1.67089i | ||||
\(77\) | −0.0394793 | −0.00449908 | ||||||||
\(78\) | −6.33661 | −0.717480 | ||||||||
\(79\) | −1.54226 | − | 2.67126i | −0.173517 | − | 0.300541i | 0.766130 | − | 0.642686i | \(-0.222180\pi\) |
−0.939647 | + | 0.342145i | \(0.888847\pi\) | |||||||
\(80\) | −0.0639924 | + | 0.110838i | −0.00715456 | + | 0.0123921i | ||||
\(81\) | 1.80903 | + | 3.13333i | 0.201004 | + | 0.348148i | ||||
\(82\) | −6.04082 | + | 10.4630i | −0.667097 | + | 1.15545i | ||||
\(83\) | 4.24900 | − | 7.35949i | 0.466389 | − | 0.807809i | −0.532874 | − | 0.846194i | \(-0.678888\pi\) |
0.999263 | + | 0.0383856i | \(0.0122215\pi\) | |||||||
\(84\) | 19.0523 | − | 32.9995i | 2.07877 | − | 3.60054i | ||||
\(85\) | 0.222994 | 0.0241871 | ||||||||
\(86\) | 13.8859 | + | 24.0510i | 1.49735 | + | 2.59349i | ||||
\(87\) | 3.82835 | + | 6.63089i | 0.410442 | + | 0.710906i | ||||
\(88\) | 0.0177074 | − | 0.0306701i | 0.00188761 | − | 0.00326944i | ||||
\(89\) | −2.36869 | −0.251081 | −0.125540 | − | 0.992089i | \(-0.540066\pi\) | ||||
−0.125540 | + | 0.992089i | \(0.540066\pi\) | |||||||
\(90\) | −0.460004 | − | 0.796751i | −0.0484887 | − | 0.0839849i | ||||
\(91\) | 4.00697 | 0.420045 | ||||||||
\(92\) | −2.85742 | −0.297906 | ||||||||
\(93\) | −13.7250 | + | 6.06350i | −1.42321 | + | 0.628756i | ||||
\(94\) | 17.1531 | 1.76921 | ||||||||
\(95\) | 0.437538 | 0.0448905 | ||||||||
\(96\) | −5.26921 | − | 9.12654i | −0.537786 | − | 0.931473i | ||||
\(97\) | −10.0577 | −1.02121 | −0.510604 | − | 0.859816i | \(-0.670578\pi\) | ||||
−0.510604 | + | 0.859816i | \(0.670578\pi\) | |||||||
\(98\) | −10.6466 | + | 18.4404i | −1.07547 | + | 1.86276i | ||||
\(99\) | 0.0209989 | + | 0.0363712i | 0.00211047 | + | 0.00365544i | ||||
\(100\) | 8.80687 | + | 15.2539i | 0.880687 | + | 1.52539i | ||||
\(101\) | −12.0628 | −1.20030 | −0.600148 | − | 0.799889i | \(-0.704892\pi\) | ||||
−0.600148 | + | 0.799889i | \(0.704892\pi\) | |||||||
\(102\) | 7.69687 | − | 13.3314i | 0.762104 | − | 1.32000i | ||||
\(103\) | 5.54528 | − | 9.60470i | 0.546392 | − | 0.946380i | −0.452125 | − | 0.891954i | \(-0.649334\pi\) |
0.998518 | − | 0.0544251i | \(-0.0173326\pi\) | |||||||
\(104\) | −1.79722 | + | 3.11288i | −0.176232 | + | 0.305243i | ||||
\(105\) | 0.495609 | + | 0.858419i | 0.0483665 | + | 0.0837732i | ||||
\(106\) | 3.34294 | − | 5.79014i | 0.324695 | − | 0.562388i | ||||
\(107\) | 0.00698191 | + | 0.0120930i | 0.000674967 | + | 0.00116908i | 0.866363 | − | 0.499415i | \(-0.166452\pi\) |
−0.865688 | + | 0.500584i | \(0.833118\pi\) | |||||||
\(108\) | −12.0067 | −1.15535 | ||||||||
\(109\) | 14.0232 | 1.34318 | 0.671591 | − | 0.740922i | \(-0.265611\pi\) | ||||
0.671591 | + | 0.740922i | \(0.265611\pi\) | |||||||
\(110\) | 0.00106326 | + | 0.00184162i | 0.000101378 | + | 0.000175592i | ||||
\(111\) | 7.56555 | − | 13.1039i | 0.718090 | − | 1.24377i | ||||
\(112\) | −2.79343 | − | 4.83837i | −0.263955 | − | 0.457183i | ||||
\(113\) | −7.04991 | + | 12.2108i | −0.663200 | + | 1.14870i | 0.316570 | + | 0.948569i | \(0.397469\pi\) |
−0.979770 | + | 0.200127i | \(0.935865\pi\) | |||||||
\(114\) | 15.1021 | − | 26.1576i | 1.41444 | − | 2.44988i | ||||
\(115\) | 0.0371652 | − | 0.0643720i | 0.00346567 | − | 0.00600272i | ||||
\(116\) | 10.0256 | 0.930851 | ||||||||
\(117\) | −2.13130 | − | 3.69152i | −0.197039 | − | 0.341281i | ||||
\(118\) | −16.9962 | − | 29.4383i | −1.56463 | − | 2.71002i | ||||
\(119\) | −4.86714 | + | 8.43013i | −0.446170 | + | 0.772789i | ||||
\(120\) | −0.889168 | −0.0811695 | ||||||||
\(121\) | 5.49995 | + | 9.52620i | 0.499996 | + | 0.866018i | ||||
\(122\) | 27.7216 | 2.50980 | ||||||||
\(123\) | −13.8472 | −1.24856 | ||||||||
\(124\) | −2.10986 | + | 19.5333i | −0.189471 | + | 1.75414i | ||||
\(125\) | −0.917150 | −0.0820324 | ||||||||
\(126\) | 40.1608 | 3.57781 | ||||||||
\(127\) | −4.95208 | − | 8.57726i | −0.439426 | − | 0.761109i | 0.558219 | − | 0.829694i | \(-0.311485\pi\) |
−0.997645 | + | 0.0685848i | \(0.978152\pi\) | |||||||
\(128\) | −20.3557 | −1.79920 | ||||||||
\(129\) | −15.9151 | + | 27.5657i | −1.40124 | + | 2.42702i | ||||
\(130\) | −0.107916 | − | 0.186917i | −0.00946490 | − | 0.0163937i | ||||
\(131\) | 0.234757 | + | 0.406610i | 0.0205108 | + | 0.0355257i | 0.876099 | − | 0.482132i | \(-0.160137\pi\) |
−0.855588 | + | 0.517658i | \(0.826804\pi\) | |||||||
\(132\) | 0.0936941 | 0.00815503 | ||||||||
\(133\) | −9.54985 | + | 16.5408i | −0.828077 | + | 1.43427i | ||||
\(134\) | −6.54774 | + | 11.3410i | −0.565638 | + | 0.979714i | ||||
\(135\) | 0.156166 | − | 0.270488i | 0.0134406 | − | 0.0232799i | ||||
\(136\) | −4.36605 | − | 7.56222i | −0.374386 | − | 0.648455i | ||||
\(137\) | −4.65019 | + | 8.05437i | −0.397293 | + | 0.688131i | −0.993391 | − | 0.114781i | \(-0.963384\pi\) |
0.596098 | + | 0.802911i | \(0.296717\pi\) | |||||||
\(138\) | −2.56559 | − | 4.44373i | −0.218397 | − | 0.378276i | ||||
\(139\) | −21.1823 | −1.79666 | −0.898329 | − | 0.439324i | \(-0.855218\pi\) | ||||
−0.898329 | + | 0.439324i | \(0.855218\pi\) | |||||||
\(140\) | 1.29789 | 0.109691 | ||||||||
\(141\) | 9.82988 | + | 17.0259i | 0.827825 | + | 1.43384i | ||||
\(142\) | −2.58225 | + | 4.47259i | −0.216698 | + | 0.375331i | ||||
\(143\) | 0.00492632 | + | 0.00853264i | 0.000411960 | + | 0.000713535i | ||||
\(144\) | −2.97164 | + | 5.14703i | −0.247637 | + | 0.428919i | ||||
\(145\) | −0.130398 | + | 0.225856i | −0.0108290 | + | 0.0187563i | ||||
\(146\) | 3.54717 | − | 6.14388i | 0.293566 | − | 0.508471i | ||||
\(147\) | −24.4048 | −2.01287 | ||||||||
\(148\) | −9.90623 | − | 17.1581i | −0.814287 | − | 1.41039i | ||||
\(149\) | 10.4589 | + | 18.1153i | 0.856825 | + | 1.48406i | 0.874942 | + | 0.484228i | \(0.160900\pi\) |
−0.0181170 | + | 0.999836i | \(0.505767\pi\) | |||||||
\(150\) | −15.8148 | + | 27.3921i | −1.29128 | + | 2.23656i | ||||
\(151\) | 15.9637 | 1.29910 | 0.649552 | − | 0.760317i | \(-0.274956\pi\) | ||||
0.649552 | + | 0.760317i | \(0.274956\pi\) | |||||||
\(152\) | −8.56665 | − | 14.8379i | −0.694847 | − | 1.20351i | ||||
\(153\) | 10.3553 | 0.837174 | ||||||||
\(154\) | −0.0928283 | −0.00748032 | ||||||||
\(155\) | −0.412605 | − | 0.301592i | −0.0331412 | − | 0.0242245i | ||||
\(156\) | −9.50955 | −0.761373 | ||||||||
\(157\) | −7.93608 | −0.633368 | −0.316684 | − | 0.948531i | \(-0.602569\pi\) | ||||
−0.316684 | + | 0.948531i | \(0.602569\pi\) | |||||||
\(158\) | −3.62633 | − | 6.28099i | −0.288495 | − | 0.499689i | ||||
\(159\) | 7.66290 | 0.607707 | ||||||||
\(160\) | 0.179476 | − | 0.310861i | 0.0141888 | − | 0.0245757i | ||||
\(161\) | 1.62236 | + | 2.81001i | 0.127860 | + | 0.221459i | ||||
\(162\) | 4.25361 | + | 7.36746i | 0.334195 | + | 0.578843i | ||||
\(163\) | 8.40425 | 0.658272 | 0.329136 | − | 0.944283i | \(-0.393243\pi\) | ||||
0.329136 | + | 0.944283i | \(0.393243\pi\) | |||||||
\(164\) | −9.06564 | + | 15.7022i | −0.707908 | + | 1.22613i | ||||
\(165\) | −0.00121864 | + | 0.00211074i | −9.48709e−5 | + | 0.000164321i | ||||
\(166\) | 9.99075 | − | 17.3045i | 0.775433 | − | 1.34309i | ||||
\(167\) | −7.51405 | − | 13.0147i | −0.581454 | − | 1.00711i | −0.995307 | − | 0.0967647i | \(-0.969151\pi\) |
0.413853 | − | 0.910344i | \(-0.364183\pi\) | |||||||
\(168\) | 19.4072 | − | 33.6143i | 1.49730 | − | 2.59340i | ||||
\(169\) | −0.500000 | − | 0.866025i | −0.0384615 | − | 0.0666173i | ||||
\(170\) | 0.524330 | 0.0402143 | ||||||||
\(171\) | 20.3181 | 1.55377 | ||||||||
\(172\) | 20.8390 | + | 36.0941i | 1.58896 | + | 2.75215i | ||||
\(173\) | 2.07443 | − | 3.59301i | 0.157716 | − | 0.273172i | −0.776329 | − | 0.630328i | \(-0.782920\pi\) |
0.934045 | + | 0.357156i | \(0.116254\pi\) | |||||||
\(174\) | 9.00166 | + | 15.5913i | 0.682414 | + | 1.18198i | ||||
\(175\) | 10.0006 | − | 17.3215i | 0.755971 | − | 1.30938i | ||||
\(176\) | 0.00686870 | − | 0.0118969i | 0.000517748 | − | 0.000896765i | ||||
\(177\) | 19.4799 | − | 33.7402i | 1.46420 | − | 2.53607i | ||||
\(178\) | −5.56954 | −0.417455 | ||||||||
\(179\) | −4.33620 | − | 7.51052i | −0.324103 | − | 0.561363i | 0.657227 | − | 0.753692i | \(-0.271729\pi\) |
−0.981330 | + | 0.192330i | \(0.938396\pi\) | |||||||
\(180\) | −0.690342 | − | 1.19571i | −0.0514551 | − | 0.0891228i | ||||
\(181\) | 1.07752 | − | 1.86632i | 0.0800914 | − | 0.138722i | −0.823198 | − | 0.567755i | \(-0.807812\pi\) |
0.903289 | + | 0.429033i | \(0.141145\pi\) | |||||||
\(182\) | 9.42167 | 0.698381 | ||||||||
\(183\) | 15.8863 | + | 27.5159i | 1.17435 | + | 2.03403i | ||||
\(184\) | −2.91066 | −0.214577 | ||||||||
\(185\) | 0.515384 | 0.0378918 | ||||||||
\(186\) | −32.2717 | + | 14.2572i | −2.36628 | + | 1.04539i | ||||
\(187\) | −0.0239354 | −0.00175033 | ||||||||
\(188\) | 25.7422 | 1.87744 | ||||||||
\(189\) | 6.81706 | + | 11.8075i | 0.495868 | + | 0.858868i | ||||
\(190\) | 1.02879 | 0.0746364 | ||||||||
\(191\) | 11.7789 | − | 20.4017i | 0.852293 | − | 1.47622i | −0.0268403 | − | 0.999640i | \(-0.508545\pi\) |
0.879134 | − | 0.476575i | \(-0.158122\pi\) | |||||||
\(192\) | −16.1471 | − | 27.9675i | −1.16531 | − | 2.01838i | ||||
\(193\) | −9.86758 | − | 17.0912i | −0.710284 | − | 1.23025i | −0.964750 | − | 0.263167i | \(-0.915233\pi\) |
0.254466 | − | 0.967082i | \(-0.418100\pi\) | |||||||
\(194\) | −23.6489 | −1.69789 | ||||||||
\(195\) | 0.123686 | − | 0.214231i | 0.00885737 | − | 0.0153414i | ||||
\(196\) | −15.9776 | + | 27.6741i | −1.14126 | + | 1.97672i | ||||
\(197\) | −10.5456 | + | 18.2655i | −0.751342 | + | 1.30136i | 0.195830 | + | 0.980638i | \(0.437260\pi\) |
−0.947172 | + | 0.320725i | \(0.896073\pi\) | |||||||
\(198\) | 0.0493751 | + | 0.0855202i | 0.00350894 | + | 0.00607766i | ||||
\(199\) | −3.67166 | + | 6.35950i | −0.260277 | + | 0.450813i | −0.966315 | − | 0.257361i | \(-0.917147\pi\) |
0.706039 | + | 0.708173i | \(0.250481\pi\) | |||||||
\(200\) | 8.97096 | + | 15.5382i | 0.634343 | + | 1.09871i | ||||
\(201\) | −15.0091 | −1.05866 | ||||||||
\(202\) | −28.3635 | −1.99565 | ||||||||
\(203\) | −5.69222 | − | 9.85922i | −0.399516 | − | 0.691982i | ||||
\(204\) | 11.5509 | − | 20.0068i | 0.808727 | − | 1.40076i | ||||
\(205\) | −0.235826 | − | 0.408462i | −0.0164708 | − | 0.0285282i | ||||
\(206\) | 13.0387 | − | 22.5837i | 0.908450 | − | 1.57348i | ||||
\(207\) | 1.72585 | − | 2.98927i | 0.119955 | − | 0.207768i | ||||
\(208\) | −0.697143 | + | 1.20749i | −0.0483382 | + | 0.0837242i | ||||
\(209\) | −0.0469637 | −0.00324855 | ||||||||
\(210\) | 1.16533 | + | 2.01842i | 0.0804156 | + | 0.139284i | ||||
\(211\) | 4.08007 | + | 7.06689i | 0.280884 | + | 0.486505i | 0.971603 | − | 0.236619i | \(-0.0760392\pi\) |
−0.690719 | + | 0.723123i | \(0.742706\pi\) | |||||||
\(212\) | 5.01685 | − | 8.68944i | 0.344559 | − | 0.596793i | ||||
\(213\) | −5.91920 | −0.405577 | ||||||||
\(214\) | 0.0164167 | + | 0.0284346i | 0.00112222 | + | 0.00194375i | ||||
\(215\) | −1.08417 | −0.0739400 | ||||||||
\(216\) | −12.2304 | −0.832175 | ||||||||
\(217\) | 20.4071 | − | 9.01559i | 1.38533 | − | 0.612018i | ||||
\(218\) | 32.9731 | 2.23322 | ||||||||
\(219\) | 8.13105 | 0.549446 | ||||||||
\(220\) | 0.00159567 | + | 0.00276378i | 0.000107580 | + | 0.000186334i | ||||
\(221\) | 2.42933 | 0.163415 | ||||||||
\(222\) | 17.7890 | − | 30.8115i | 1.19392 | − | 2.06793i | ||||
\(223\) | 2.78123 | + | 4.81723i | 0.186245 | + | 0.322586i | 0.943995 | − | 0.329959i | \(-0.107035\pi\) |
−0.757750 | + | 0.652545i | \(0.773702\pi\) | |||||||
\(224\) | 7.83458 | + | 13.5699i | 0.523470 | + | 0.906677i | ||||
\(225\) | −21.2771 | −1.41847 | ||||||||
\(226\) | −16.5766 | + | 28.7115i | −1.10266 | + | 1.90986i | ||||
\(227\) | 1.73060 | − | 2.99748i | 0.114864 | − | 0.198950i | −0.802861 | − | 0.596166i | \(-0.796690\pi\) |
0.917725 | + | 0.397216i | \(0.130024\pi\) | |||||||
\(228\) | 22.6642 | − | 39.2555i | 1.50097 | − | 2.59976i | ||||
\(229\) | −9.14743 | − | 15.8438i | −0.604479 | − | 1.04699i | −0.992134 | − | 0.125184i | \(-0.960048\pi\) |
0.387654 | − | 0.921805i | \(-0.373285\pi\) | |||||||
\(230\) | 0.0873871 | − | 0.151359i | 0.00576214 | − | 0.00998032i | ||||
\(231\) | −0.0531968 | − | 0.0921395i | −0.00350009 | − | 0.00606233i | ||||
\(232\) | 10.2124 | 0.670475 | ||||||||
\(233\) | 19.9647 | 1.30793 | 0.653967 | − | 0.756523i | \(-0.273104\pi\) | ||||
0.653967 | + | 0.756523i | \(0.273104\pi\) | |||||||
\(234\) | −5.01136 | − | 8.67993i | −0.327603 | − | 0.567425i | ||||
\(235\) | −0.334818 | + | 0.579922i | −0.0218411 | + | 0.0378299i | ||||
\(236\) | −25.5067 | − | 44.1790i | −1.66035 | − | 2.87581i | ||||
\(237\) | 4.15626 | − | 7.19884i | 0.269978 | − | 0.467615i | ||||
\(238\) | −11.4442 | + | 19.8219i | −0.741817 | + | 1.28486i | ||||
\(239\) | 10.3813 | − | 17.9809i | 0.671508 | − | 1.16309i | −0.305969 | − | 0.952041i | \(-0.598980\pi\) |
0.977477 | − | 0.211044i | \(-0.0676862\pi\) | |||||||
\(240\) | −0.344909 | −0.0222638 | ||||||||
\(241\) | 5.24411 | + | 9.08307i | 0.337803 | + | 0.585092i | 0.984019 | − | 0.178062i | \(-0.0569829\pi\) |
−0.646216 | + | 0.763154i | \(0.723650\pi\) | |||||||
\(242\) | 12.9321 | + | 22.3991i | 0.831309 | + | 1.43987i | ||||
\(243\) | −9.97909 | + | 17.2843i | −0.640159 | + | 1.10879i | ||||
\(244\) | 41.6026 | 2.66334 | ||||||||
\(245\) | −0.415629 | − | 0.719890i | −0.0265535 | − | 0.0459921i | ||||
\(246\) | −32.5591 | −2.07589 | ||||||||
\(247\) | 4.76661 | 0.303292 | ||||||||
\(248\) | −2.14917 | + | 19.8973i | −0.136472 | + | 1.26348i | ||||
\(249\) | 22.9014 | 1.45132 | ||||||||
\(250\) | −2.15651 | −0.136390 | ||||||||
\(251\) | −0.00476844 | − | 0.00825918i | −0.000300981 | − | 0.000521315i | 0.865875 | − | 0.500261i | \(-0.166762\pi\) |
−0.866176 | + | 0.499739i | \(0.833429\pi\) | |||||||
\(252\) | 60.2705 | 3.79668 | ||||||||
\(253\) | −0.00398917 | + | 0.00690945i | −0.000250797 | + | 0.000434393i | ||||
\(254\) | −11.6439 | − | 20.1679i | −0.730605 | − | 1.26544i | ||||
\(255\) | 0.300476 | + | 0.520439i | 0.0188165 | + | 0.0325912i | ||||
\(256\) | −23.8960 | −1.49350 | ||||||||
\(257\) | −2.17387 | + | 3.76526i | −0.135602 | + | 0.234870i | −0.925827 | − | 0.377946i | \(-0.876630\pi\) |
0.790225 | + | 0.612817i | \(0.209964\pi\) | |||||||
\(258\) | −37.4213 | + | 64.8157i | −2.32975 | + | 4.03525i | ||||
\(259\) | −11.2489 | + | 19.4837i | −0.698975 | + | 1.21066i | ||||
\(260\) | −0.161953 | − | 0.280512i | −0.0100439 | − | 0.0173966i | ||||
\(261\) | −6.05535 | + | 10.4882i | −0.374817 | + | 0.649202i | ||||
\(262\) | 0.551987 | + | 0.956070i | 0.0341019 | + | 0.0590662i | ||||
\(263\) | 15.8338 | 0.976352 | 0.488176 | − | 0.872745i | \(-0.337662\pi\) | ||||
0.488176 | + | 0.872745i | \(0.337662\pi\) | |||||||
\(264\) | 0.0954399 | 0.00587392 | ||||||||
\(265\) | 0.130504 | + | 0.226039i | 0.00801679 | + | 0.0138855i | ||||
\(266\) | −22.4547 | + | 38.8927i | −1.37679 | + | 2.38467i | ||||
\(267\) | −3.19171 | − | 5.52821i | −0.195330 | − | 0.338321i | ||||
\(268\) | −9.82639 | + | 17.0198i | −0.600242 | + | 1.03965i | ||||
\(269\) | −11.0791 | + | 19.1896i | −0.675507 | + | 1.17001i | 0.300814 | + | 0.953683i | \(0.402742\pi\) |
−0.976321 | + | 0.216329i | \(0.930592\pi\) | |||||||
\(270\) | 0.367196 | − | 0.636002i | 0.0223468 | − | 0.0387059i | ||||
\(271\) | 22.5096 | 1.36736 | 0.683682 | − | 0.729780i | \(-0.260378\pi\) | ||||
0.683682 | + | 0.729780i | \(0.260378\pi\) | |||||||
\(272\) | −1.69359 | − | 2.93339i | −0.102689 | − | 0.177863i | ||||
\(273\) | 5.39924 | + | 9.35176i | 0.326777 | + | 0.565994i | ||||
\(274\) | −10.9341 | + | 18.9384i | −0.660552 | + | 1.14411i | ||||
\(275\) | 0.0491802 | 0.00296568 | ||||||||
\(276\) | −3.85026 | − | 6.66884i | −0.231758 | − | 0.401417i | ||||
\(277\) | 15.4592 | 0.928853 | 0.464427 | − | 0.885612i | \(-0.346260\pi\) | ||||
0.464427 | + | 0.885612i | \(0.346260\pi\) | |||||||
\(278\) | −49.8063 | −2.98718 | ||||||||
\(279\) | −19.1603 | − | 14.0052i | −1.14710 | − | 0.838467i | ||||
\(280\) | 1.32207 | 0.0790088 | ||||||||
\(281\) | −32.1745 | −1.91937 | −0.959685 | − | 0.281076i | \(-0.909309\pi\) | ||||
−0.959685 | + | 0.281076i | \(0.909309\pi\) | |||||||
\(282\) | 23.1132 | + | 40.0332i | 1.37637 | + | 2.38394i | ||||
\(283\) | −7.91393 | −0.470434 | −0.235217 | − | 0.971943i | \(-0.575580\pi\) | ||||
−0.235217 | + | 0.971943i | \(0.575580\pi\) | |||||||
\(284\) | −3.87526 | + | 6.71215i | −0.229955 | + | 0.398293i | ||||
\(285\) | 0.589566 | + | 1.02116i | 0.0349229 | + | 0.0604882i | ||||
\(286\) | 0.0115833 | + | 0.0200629i | 0.000684937 | + | 0.00118635i | ||||
\(287\) | 20.5888 | 1.21532 | ||||||||
\(288\) | 8.33438 | − | 14.4356i | 0.491108 | − | 0.850625i | ||||
\(289\) | 5.54917 | − | 9.61144i | 0.326422 | − | 0.565379i | ||||
\(290\) | −0.306608 | + | 0.531060i | −0.0180046 | + | 0.0311849i | ||||
\(291\) | −13.5524 | − | 23.4734i | −0.794455 | − | 1.37604i | ||||
\(292\) | 5.32335 | − | 9.22031i | 0.311525 | − | 0.539578i | ||||
\(293\) | 11.0773 | + | 19.1865i | 0.647145 | + | 1.12089i | 0.983802 | + | 0.179261i | \(0.0573705\pi\) |
−0.336657 | + | 0.941627i | \(0.609296\pi\) | |||||||
\(294\) | −57.3834 | −3.34667 | ||||||||
\(295\) | 1.32702 | 0.0772621 | ||||||||
\(296\) | −10.0908 | − | 17.4778i | −0.586516 | − | 1.01588i | ||||
\(297\) | −0.0167623 | + | 0.0290331i | −0.000972646 | + | 0.00168467i | ||||
\(298\) | 24.5921 | + | 42.5948i | 1.42458 | + | 2.46745i | ||||
\(299\) | 0.404883 | − | 0.701279i | 0.0234150 | − | 0.0405560i | ||||
\(300\) | −23.7338 | + | 41.1081i | −1.37027 | + | 2.37338i | ||||
\(301\) | 23.6635 | − | 40.9864i | 1.36394 | − | 2.36241i | ||||
\(302\) | 37.5356 | 2.15993 | ||||||||
\(303\) | −16.2542 | − | 28.1530i | −0.933778 | − | 1.61735i | ||||
\(304\) | −3.32301 | − | 5.75562i | −0.190588 | − | 0.330108i | ||||
\(305\) | −0.541107 | + | 0.937225i | −0.0309837 | + | 0.0536654i | ||||
\(306\) | 24.3485 | 1.39191 | ||||||||
\(307\) | 1.77100 | + | 3.06746i | 0.101076 | + | 0.175069i | 0.912128 | − | 0.409905i | \(-0.134438\pi\) |
−0.811052 | + | 0.584974i | \(0.801105\pi\) | |||||||
\(308\) | −0.139310 | −0.00793794 | ||||||||
\(309\) | 29.8882 | 1.70028 | ||||||||
\(310\) | −0.970165 | − | 0.709139i | −0.0551017 | − | 0.0402764i | ||||
\(311\) | −24.2946 | −1.37762 | −0.688811 | − | 0.724941i | \(-0.741867\pi\) | ||||
−0.688811 | + | 0.724941i | \(0.741867\pi\) | |||||||
\(312\) | −9.68673 | −0.548403 | ||||||||
\(313\) | −5.57726 | − | 9.66009i | −0.315245 | − | 0.546021i | 0.664244 | − | 0.747516i | \(-0.268753\pi\) |
−0.979490 | + | 0.201495i | \(0.935420\pi\) | |||||||
\(314\) | −18.6602 | −1.05306 | ||||||||
\(315\) | −0.783912 | + | 1.35777i | −0.0441684 | + | 0.0765019i | ||||
\(316\) | −5.44214 | − | 9.42607i | −0.306145 | − | 0.530258i | ||||
\(317\) | −4.61381 | − | 7.99136i | −0.259138 | − | 0.448839i | 0.706874 | − | 0.707340i | \(-0.250105\pi\) |
−0.966011 | + | 0.258500i | \(0.916772\pi\) | |||||||
\(318\) | 18.0179 | 1.01039 | ||||||||
\(319\) | 0.0139965 | − | 0.0242426i | 0.000783651 | − | 0.00135732i | ||||
\(320\) | 0.549989 | − | 0.952609i | 0.0307453 | − | 0.0532525i | ||||
\(321\) | −0.0188157 | + | 0.0325898i | −0.00105019 | + | 0.00181898i | ||||
\(322\) | 3.81468 | + | 6.60721i | 0.212584 | + | 0.368206i | ||||
\(323\) | −5.78985 | + | 10.0283i | −0.322156 | + | 0.557990i | ||||
\(324\) | 6.38352 | + | 11.0566i | 0.354640 | + | 0.614254i | ||||
\(325\) | −4.99157 | −0.276883 | ||||||||
\(326\) | 19.7611 | 1.09446 | ||||||||
\(327\) | 18.8957 | + | 32.7284i | 1.04494 | + | 1.80988i | ||||
\(328\) | −9.23456 | + | 15.9947i | −0.509893 | + | 0.883161i | ||||
\(329\) | −14.6157 | − | 25.3151i | −0.805788 | − | 1.39567i | ||||
\(330\) | −0.00286541 | + | 0.00496303i | −0.000157735 | + | 0.000273206i | ||||
\(331\) | −3.00281 | + | 5.20101i | −0.165049 | + | 0.285874i | −0.936673 | − | 0.350206i | \(-0.886112\pi\) |
0.771624 | + | 0.636079i | \(0.219445\pi\) | |||||||
\(332\) | 14.9934 | − | 25.9694i | 0.822871 | − | 1.42525i | ||||
\(333\) | 23.9331 | 1.31153 | ||||||||
\(334\) | −17.6679 | − | 30.6017i | −0.966745 | − | 1.67445i | ||||
\(335\) | −0.255615 | − | 0.442738i | −0.0139657 | − | 0.0241894i | ||||
\(336\) | 7.52808 | − | 13.0390i | 0.410691 | − | 0.711337i | ||||
\(337\) | 24.3060 | 1.32403 | 0.662015 | − | 0.749490i | \(-0.269701\pi\) | ||||
0.662015 | + | 0.749490i | \(0.269701\pi\) | |||||||
\(338\) | −1.17566 | − | 2.03630i | −0.0639474 | − | 0.110760i | ||||
\(339\) | −37.9979 | −2.06376 | ||||||||
\(340\) | 0.786878 | 0.0426744 | ||||||||
\(341\) | 0.0442875 | + | 0.0323718i | 0.00239830 | + | 0.00175303i | ||||
\(342\) | 47.7744 | 2.58334 | ||||||||
\(343\) | 8.23772 | 0.444795 | ||||||||
\(344\) | 21.2272 | + | 36.7667i | 1.14450 | + | 1.98233i | ||||
\(345\) | 0.200314 | 0.0107846 | ||||||||
\(346\) | 4.87763 | − | 8.44831i | 0.262223 | − | 0.454184i | ||||
\(347\) | −14.3936 | − | 24.9305i | −0.772689 | − | 1.33834i | −0.936084 | − | 0.351776i | \(-0.885578\pi\) |
0.163395 | − | 0.986561i | \(-0.447755\pi\) | |||||||
\(348\) | 13.5091 | + | 23.3984i | 0.724162 | + | 1.25428i | ||||
\(349\) | 36.0861 | 1.93164 | 0.965821 | − | 0.259210i | \(-0.0834622\pi\) | ||||
0.965821 | + | 0.259210i | \(0.0834622\pi\) | |||||||
\(350\) | 23.5145 | − | 40.7283i | 1.25690 | − | 2.17702i | ||||
\(351\) | 1.70130 | − | 2.94673i | 0.0908086 | − | 0.157285i | ||||
\(352\) | −0.0192642 | + | 0.0333667i | −0.00102679 | + | 0.00177845i | ||||
\(353\) | 14.7115 | + | 25.4811i | 0.783015 | + | 1.35622i | 0.930178 | + | 0.367109i | \(0.119653\pi\) |
−0.147163 | + | 0.989112i | \(0.547014\pi\) | |||||||
\(354\) | 45.8034 | − | 79.3339i | 2.43443 | − | 4.21655i | ||||
\(355\) | −0.100808 | − | 0.174604i | −0.00535032 | − | 0.00926702i | ||||
\(356\) | −8.35838 | −0.442993 | ||||||||
\(357\) | −26.2331 | −1.38840 | ||||||||
\(358\) | −10.1958 | − | 17.6596i | −0.538864 | − | 0.933340i | ||||
\(359\) | −15.2472 | + | 26.4089i | −0.804714 | + | 1.39381i | 0.111770 | + | 0.993734i | \(0.464348\pi\) |
−0.916484 | + | 0.400072i | \(0.868985\pi\) | |||||||
\(360\) | −0.703205 | − | 1.21799i | −0.0370622 | − | 0.0641935i | ||||
\(361\) | −1.86030 | + | 3.22213i | −0.0979104 | + | 0.169586i | ||||
\(362\) | 2.53359 | − | 4.38830i | 0.133162 | − | 0.230644i | ||||
\(363\) | −14.8219 | + | 25.6723i | −0.777950 | + | 1.34745i | ||||
\(364\) | 14.1394 | 0.741105 | ||||||||
\(365\) | 0.138477 | + | 0.239849i | 0.00724821 | + | 0.0125543i | ||||
\(366\) | 37.3538 | + | 64.6986i | 1.95251 | + | 3.38185i | ||||
\(367\) | 17.6168 | − | 30.5131i | 0.919587 | − | 1.59277i | 0.119545 | − | 0.992829i | \(-0.461856\pi\) |
0.800042 | − | 0.599943i | \(-0.204810\pi\) | |||||||
\(368\) | −1.12905 | −0.0588556 | ||||||||
\(369\) | −10.9511 | − | 18.9679i | −0.570093 | − | 0.987430i | ||||
\(370\) | 1.21183 | 0.0630001 | ||||||||
\(371\) | −11.3937 | −0.591530 | ||||||||
\(372\) | −48.4312 | + | 21.3962i | −2.51104 | + | 1.10934i | ||||
\(373\) | 19.1774 | 0.992967 | 0.496484 | − | 0.868046i | \(-0.334624\pi\) | ||||
0.496484 | + | 0.868046i | \(0.334624\pi\) | |||||||
\(374\) | −0.0562796 | −0.00291015 | ||||||||
\(375\) | −1.23582 | − | 2.14051i | −0.0638176 | − | 0.110535i | ||||
\(376\) | 26.2219 | 1.35229 | ||||||||
\(377\) | −1.42058 | + | 2.46051i | −0.0731635 | + | 0.126723i | ||||
\(378\) | 16.0291 | + | 27.7632i | 0.824446 | + | 1.42798i | ||||
\(379\) | −10.7731 | − | 18.6596i | −0.553377 | − | 0.958478i | −0.998028 | − | 0.0627736i | \(-0.980005\pi\) |
0.444650 | − | 0.895704i | \(-0.353328\pi\) | |||||||
\(380\) | 1.54394 | 0.0792024 | ||||||||
\(381\) | 13.3455 | − | 23.1150i | 0.683709 | − | 1.18422i | ||||
\(382\) | 27.6960 | − | 47.9709i | 1.41705 | − | 2.45440i | ||||
\(383\) | 2.56379 | − | 4.44061i | 0.131003 | − | 0.226905i | −0.793060 | − | 0.609143i | \(-0.791513\pi\) |
0.924064 | + | 0.382239i | \(0.124847\pi\) | |||||||
\(384\) | −27.4285 | − | 47.5075i | −1.39970 | − | 2.42436i | ||||
\(385\) | 0.00181195 | − | 0.00313838i | 9.23454e−5 | − | 0.000159947i | ||||
\(386\) | −23.2018 | − | 40.1867i | −1.18094 | − | 2.04545i | ||||
\(387\) | −50.3462 | −2.55924 | ||||||||
\(388\) | −35.4906 | −1.80176 | ||||||||
\(389\) | −7.75954 | − | 13.4399i | −0.393424 | − | 0.681430i | 0.599475 | − | 0.800394i | \(-0.295376\pi\) |
−0.992899 | + | 0.118963i | \(0.962043\pi\) | |||||||
\(390\) | 0.290826 | − | 0.503726i | 0.0147266 | − | 0.0255071i | ||||
\(391\) | 0.983597 | + | 1.70364i | 0.0497426 | + | 0.0861568i | ||||
\(392\) | −16.2754 | + | 28.1897i | −0.822029 | + | 1.42380i | ||||
\(393\) | −0.632651 | + | 1.09578i | −0.0319130 | + | 0.0552749i | ||||
\(394\) | −24.7960 | + | 42.9480i | −1.24921 | + | 2.16369i | ||||
\(395\) | 0.283134 | 0.0142460 | ||||||||
\(396\) | 0.0740987 | + | 0.128343i | 0.00372360 | + | 0.00644946i | ||||
\(397\) | −8.51031 | − | 14.7403i | −0.427120 | − | 0.739794i | 0.569496 | − | 0.821994i | \(-0.307139\pi\) |
−0.996616 | + | 0.0822006i | \(0.973805\pi\) | |||||||
\(398\) | −8.63323 | + | 14.9532i | −0.432745 | + | 0.749536i | ||||
\(399\) | −51.4722 | −2.57683 | ||||||||
\(400\) | 3.47984 | + | 6.02726i | 0.173992 | + | 0.301363i | ||||
\(401\) | −38.3723 | −1.91622 | −0.958111 | − | 0.286396i | \(-0.907543\pi\) | ||||
−0.958111 | + | 0.286396i | \(0.907543\pi\) | |||||||
\(402\) | −35.2913 | −1.76017 | ||||||||
\(403\) | −4.49498 | − | 3.28559i | −0.223911 | − | 0.163667i | ||||
\(404\) | −42.5660 | −2.11774 | ||||||||
\(405\) | −0.332110 | −0.0165027 | ||||||||
\(406\) | −13.3842 | − | 23.1822i | −0.664248 | − | 1.15051i | ||||
\(407\) | −0.0553194 | −0.00274208 | ||||||||
\(408\) | 11.7662 | − | 20.3796i | 0.582511 | − | 1.00894i | ||||
\(409\) | 6.77574 | + | 11.7359i | 0.335039 | + | 0.580304i | 0.983492 | − | 0.180950i | \(-0.0579173\pi\) |
−0.648454 | + | 0.761254i | \(0.724584\pi\) | |||||||
\(410\) | −0.554501 | − | 0.960424i | −0.0273848 | − | 0.0474319i | ||||
\(411\) | −25.0638 | −1.23631 | ||||||||
\(412\) | 19.5676 | − | 33.8920i | 0.964025 | − | 1.66974i | ||||
\(413\) | −28.9639 | + | 50.1670i | −1.42522 | + | 2.46856i | ||||
\(414\) | 4.05803 | − | 7.02872i | 0.199441 | − | 0.345443i | ||||
\(415\) | 0.390026 | + | 0.675545i | 0.0191456 | + | 0.0331612i | ||||
\(416\) | 1.95524 | − | 3.38657i | 0.0958634 | − | 0.166040i | ||||
\(417\) | −28.5423 | − | 49.4367i | −1.39772 | − | 2.42092i | ||||
\(418\) | −0.110427 | −0.00540114 | ||||||||
\(419\) | −22.5265 | −1.10049 | −0.550245 | − | 0.835003i | \(-0.685466\pi\) | ||||
−0.550245 | + | 0.835003i | \(0.685466\pi\) | |||||||
\(420\) | 1.74885 | + | 3.02910i | 0.0853352 | + | 0.147805i | ||||
\(421\) | −9.69923 | + | 16.7996i | −0.472711 | + | 0.818760i | −0.999512 | − | 0.0312287i | \(-0.990058\pi\) |
0.526801 | + | 0.849989i | \(0.323391\pi\) | |||||||
\(422\) | 9.59354 | + | 16.6165i | 0.467006 | + | 0.808879i | ||||
\(423\) | −15.5481 | + | 26.9300i | −0.755973 | + | 1.30938i | ||||
\(424\) | 5.11032 | − | 8.85134i | 0.248179 | − | 0.429859i | ||||
\(425\) | 6.06310 | − | 10.5016i | 0.294104 | − | 0.509402i | ||||
\(426\) | −13.9179 | −0.674326 | ||||||||
\(427\) | −23.6207 | − | 40.9123i | −1.14309 | − | 1.97989i | ||||
\(428\) | 0.0246370 | + | 0.0426726i | 0.00119088 | + | 0.00206266i | ||||
\(429\) | −0.0132760 | + | 0.0229948i | −0.000640973 | + | 0.00111020i | ||||
\(430\) | −2.54923 | −0.122935 | ||||||||
\(431\) | −7.68809 | − | 13.3162i | −0.370322 | − | 0.641417i | 0.619293 | − | 0.785160i | \(-0.287419\pi\) |
−0.989615 | + | 0.143743i | \(0.954086\pi\) | |||||||
\(432\) | −4.74419 | −0.228255 | ||||||||
\(433\) | 23.6632 | 1.13718 | 0.568590 | − | 0.822621i | \(-0.307489\pi\) | ||||
0.568590 | + | 0.822621i | \(0.307489\pi\) | |||||||
\(434\) | 47.9836 | − | 21.1985i | 2.30329 | − | 1.01756i | ||||
\(435\) | −0.702826 | −0.0336979 | ||||||||
\(436\) | 49.4837 | 2.36984 | ||||||||
\(437\) | 1.92992 | + | 3.34272i | 0.0923207 | + | 0.159904i | ||||
\(438\) | 19.1187 | 0.913526 | ||||||||
\(439\) | 2.49669 | − | 4.32440i | 0.119161 | − | 0.206392i | −0.800275 | − | 0.599634i | \(-0.795313\pi\) |
0.919435 | + | 0.393241i | \(0.128646\pi\) | |||||||
\(440\) | 0.00162540 | + | 0.00281528i | 7.74879e−5 | + | 0.000134213i | ||||
\(441\) | −19.3007 | − | 33.4298i | −0.919081 | − | 1.59190i | ||||
\(442\) | 5.71213 | 0.271699 | ||||||||
\(443\) | 5.47657 | − | 9.48570i | 0.260200 | − | 0.450679i | −0.706095 | − | 0.708117i | \(-0.749545\pi\) |
0.966295 | + | 0.257438i | \(0.0828782\pi\) | |||||||
\(444\) | 26.6965 | − | 46.2397i | 1.26696 | − | 2.19444i | ||||
\(445\) | 0.108714 | − | 0.188298i | 0.00515353 | − | 0.00892617i | ||||
\(446\) | 6.53955 | + | 11.3268i | 0.309657 | + | 0.536341i | ||||
\(447\) | −28.1858 | + | 48.8193i | −1.33314 | + | 2.30907i | ||||
\(448\) | 24.0085 | + | 41.5839i | 1.13429 | + | 1.96465i | ||||
\(449\) | 33.6121 | 1.58625 | 0.793126 | − | 0.609058i | \(-0.208452\pi\) | ||||
0.793126 | + | 0.609058i | \(0.208452\pi\) | |||||||
\(450\) | −50.0291 | −2.35840 | ||||||||
\(451\) | 0.0253126 | + | 0.0438428i | 0.00119193 | + | 0.00206448i | ||||
\(452\) | −24.8770 | + | 43.0882i | −1.17011 | + | 2.02670i | ||||
\(453\) | 21.5104 | + | 37.2571i | 1.01065 | + | 1.75049i | ||||
\(454\) | 4.06918 | − | 7.04803i | 0.190976 | − | 0.330781i | ||||
\(455\) | −0.183905 | + | 0.318532i | −0.00862159 | + | 0.0149330i | ||||
\(456\) | 23.0865 | − | 39.9869i | 1.08112 | − | 1.87256i | ||||
\(457\) | −18.7472 | −0.876959 | −0.438479 | − | 0.898741i | \(-0.644483\pi\) | ||||
−0.438479 | + | 0.898741i | \(0.644483\pi\) | |||||||
\(458\) | −21.5085 | − | 37.2538i | −1.00503 | − | 1.74076i | ||||
\(459\) | 4.13302 | + | 7.15860i | 0.192913 | + | 0.334135i | ||||
\(460\) | 0.131145 | − | 0.227149i | 0.00611464 | − | 0.0105909i | ||||
\(461\) | −35.8285 | −1.66870 | −0.834351 | − | 0.551234i | \(-0.814157\pi\) | ||||
−0.834351 | + | 0.551234i | \(0.814157\pi\) | |||||||
\(462\) | −0.125082 | − | 0.216649i | −0.00581936 | − | 0.0100794i | ||||
\(463\) | 28.5782 | 1.32814 | 0.664071 | − | 0.747670i | \(-0.268827\pi\) | ||||
0.664071 | + | 0.747670i | \(0.268827\pi\) | |||||||
\(464\) | 3.96139 | 0.183903 | ||||||||
\(465\) | 0.147908 | − | 1.36935i | 0.00685907 | − | 0.0635021i | ||||
\(466\) | 46.9435 | 2.17461 | ||||||||
\(467\) | 5.65039 | 0.261469 | 0.130735 | − | 0.991417i | \(-0.458266\pi\) | ||||
0.130735 | + | 0.991417i | \(0.458266\pi\) | |||||||
\(468\) | −7.52070 | − | 13.0262i | −0.347644 | − | 0.602138i | ||||
\(469\) | 22.3165 | 1.03048 | ||||||||
\(470\) | −0.787263 | + | 1.36358i | −0.0363137 | + | 0.0628972i | ||||
\(471\) | −10.6935 | − | 18.5218i | −0.492733 | − | 0.853438i | ||||
\(472\) | −25.9820 | − | 45.0021i | −1.19592 | − | 2.07139i | ||||
\(473\) | 0.116371 | 0.00535074 | ||||||||
\(474\) | 9.77267 | − | 16.9268i | 0.448874 | − | 0.777472i | ||||
\(475\) | 11.8965 | − | 20.6053i | 0.545847 | − | 0.945434i | ||||
\(476\) | −17.1746 | + | 29.7473i | −0.787198 | + | 1.36347i | ||||
\(477\) | 6.06026 | + | 10.4967i | 0.277480 | + | 0.480610i | ||||
\(478\) | 24.4096 | − | 42.2787i | 1.11647 | − | 1.93378i | ||||
\(479\) | −16.6317 | − | 28.8070i | −0.759922 | − | 1.31622i | −0.942890 | − | 0.333105i | \(-0.891904\pi\) |
0.182968 | − | 0.983119i | \(-0.441430\pi\) | |||||||
\(480\) | 0.967346 | 0.0441531 | ||||||||
\(481\) | 5.61468 | 0.256007 | ||||||||
\(482\) | 12.3306 | + | 21.3572i | 0.561642 | + | 0.972793i | ||||
\(483\) | −4.37212 | + | 7.57274i | −0.198939 | + | 0.344572i | ||||
\(484\) | 19.4076 | + | 33.6150i | 0.882165 | + | 1.52796i | ||||
\(485\) | 0.461611 | − | 0.799534i | 0.0209607 | − | 0.0363050i | ||||
\(486\) | −23.4640 | + | 40.6409i | −1.06435 | + | 1.84351i | ||||
\(487\) | 11.3599 | − | 19.6760i | 0.514768 | − | 0.891604i | −0.485085 | − | 0.874467i | \(-0.661212\pi\) |
0.999853 | − | 0.0171370i | \(-0.00545516\pi\) | |||||||
\(488\) | 42.3778 | 1.91835 | ||||||||
\(489\) | 11.3244 | + | 19.6144i | 0.512107 | + | 0.886995i | ||||
\(490\) | −0.977275 | − | 1.69269i | −0.0441488 | − | 0.0764679i | ||||
\(491\) | −20.2603 | + | 35.0919i | −0.914335 | + | 1.58367i | −0.106463 | + | 0.994317i | \(0.533953\pi\) |
−0.807872 | + | 0.589358i | \(0.799381\pi\) | |||||||
\(492\) | −48.8624 | −2.20289 | ||||||||
\(493\) | −3.45106 | − | 5.97741i | −0.155428 | − | 0.269209i | ||||
\(494\) | 11.2078 | 0.504264 | ||||||||
\(495\) | −0.00385508 | −0.000173273 | ||||||||
\(496\) | −0.833664 | + | 7.71816i | −0.0374326 | + | 0.346556i | ||||
\(497\) | 8.80104 | 0.394781 | ||||||||
\(498\) | 53.8486 | 2.41301 | ||||||||
\(499\) | 8.01287 | + | 13.8787i | 0.358705 | + | 0.621296i | 0.987745 | − | 0.156078i | \(-0.0498850\pi\) |
−0.629039 | + | 0.777373i | \(0.716552\pi\) | |||||||
\(500\) | −3.23634 | −0.144734 | ||||||||
\(501\) | 20.2498 | − | 35.0736i | 0.904692 | − | 1.56697i | ||||
\(502\) | −0.0112121 | − | 0.0194199i | −0.000500421 | − | 0.000866755i | ||||
\(503\) | −11.0824 | − | 19.1953i | −0.494140 | − | 0.855875i | 0.505838 | − | 0.862629i | \(-0.331184\pi\) |
−0.999977 | + | 0.00675382i | \(0.997850\pi\) | |||||||
\(504\) | 61.3935 | 2.73468 | ||||||||
\(505\) | 0.553637 | − | 0.958928i | 0.0246365 | − | 0.0426717i | ||||
\(506\) | −0.00937981 | + | 0.0162463i | −0.000416983 | + | 0.000722236i | ||||
\(507\) | 1.34746 | − | 2.33387i | 0.0598428 | − | 0.103651i | ||||
\(508\) | −17.4744 | − | 30.2665i | −0.775300 | − | 1.34286i | ||||
\(509\) | 5.78924 | − | 10.0273i | 0.256603 | − | 0.444450i | −0.708726 | − | 0.705483i | \(-0.750730\pi\) |
0.965330 | + | 0.261033i | \(0.0840633\pi\) | |||||||
\(510\) | 0.706514 | + | 1.22372i | 0.0312850 | + | 0.0541871i | ||||
\(511\) | −12.0898 | −0.534819 | ||||||||
\(512\) | −15.4757 | −0.683935 | ||||||||
\(513\) | 8.10943 | + | 14.0459i | 0.358040 | + | 0.620143i | ||||
\(514\) | −5.11147 | + | 8.85332i | −0.225457 | + | 0.390503i | ||||
\(515\) | 0.509014 | + | 0.881638i | 0.0224298 | + | 0.0388496i | ||||
\(516\) | −56.1593 | + | 97.2708i | −2.47228 | + | 4.28211i | ||||
\(517\) | 0.0359381 | − | 0.0622466i | 0.00158055 | − | 0.00273760i | ||||
\(518\) | −26.4498 | + | 45.8124i | −1.16214 | + | 2.01288i | ||||
\(519\) | 11.1808 | 0.490784 | ||||||||
\(520\) | −0.164971 | − | 0.285738i | −0.00723446 | − | 0.0125305i | ||||
\(521\) | −18.5385 | − | 32.1096i | −0.812187 | − | 1.40675i | −0.911330 | − | 0.411676i | \(-0.864944\pi\) |
0.0991433 | − | 0.995073i | \(-0.468390\pi\) | |||||||
\(522\) | −14.2381 | + | 24.6610i | −0.623183 | + | 1.07938i | ||||
\(523\) | 4.03873 | 0.176601 | 0.0883007 | − | 0.996094i | \(-0.471856\pi\) | ||||
0.0883007 | + | 0.996094i | \(0.471856\pi\) | |||||||
\(524\) | 0.828384 | + | 1.43480i | 0.0361881 | + | 0.0626797i | ||||
\(525\) | 53.9014 | 2.35245 | ||||||||
\(526\) | 37.2302 | 1.62331 | ||||||||
\(527\) | 12.3724 | − | 5.46594i | 0.538948 | − | 0.238100i | ||||
\(528\) | 0.0370212 | 0.00161114 | ||||||||
\(529\) | −22.3443 | −0.971490 | ||||||||
\(530\) | 0.306856 | + | 0.531490i | 0.0133290 | + | 0.0230865i | ||||
\(531\) | 61.6233 | 2.67422 | ||||||||
\(532\) | −33.6985 | + | 58.3675i | −1.46101 | + | 2.53055i | ||||
\(533\) | −2.56912 | − | 4.44985i | −0.111281 | − | 0.192744i | ||||
\(534\) | −7.50473 | − | 12.9986i | −0.324762 | − | 0.562504i | ||||
\(535\) | −0.00128177 | −5.54158e−5 | ||||||||
\(536\) | −10.0095 | + | 17.3369i | −0.432344 | + | 0.748841i | ||||
\(537\) | 11.6857 | − | 20.2403i | 0.504276 | − | 0.873432i | ||||
\(538\) | −26.0506 | + | 45.1209i | −1.12312 | + | 1.94530i | ||||
\(539\) | 0.0446120 | + | 0.0772702i | 0.00192157 | + | 0.00332826i | ||||
\(540\) | 0.551062 | − | 0.954467i | 0.0237139 | − | 0.0410737i | ||||
\(541\) | 11.3543 | + | 19.6663i | 0.488162 | + | 0.845521i | 0.999907 | − | 0.0136163i | \(-0.00433435\pi\) |
−0.511746 | + | 0.859137i | \(0.671001\pi\) | |||||||
\(542\) | 52.9273 | 2.27342 | ||||||||
\(543\) | 5.80766 | 0.249230 | ||||||||
\(544\) | 4.74992 | + | 8.22711i | 0.203651 | + | 0.352734i | ||||
\(545\) | −0.643612 | + | 1.11477i | −0.0275693 | + | 0.0477515i | ||||
\(546\) | 12.6953 | + | 21.9889i | 0.543310 | + | 0.941040i | ||||
\(547\) | −16.9118 | + | 29.2920i | −0.723095 | + | 1.25244i | 0.236658 | + | 0.971593i | \(0.423948\pi\) |
−0.959753 | + | 0.280844i | \(0.909386\pi\) | |||||||
\(548\) | −16.4091 | + | 28.4214i | −0.700962 | + | 1.21410i | ||||
\(549\) | −25.1276 | + | 43.5223i | −1.07242 | + | 1.85749i | ||||
\(550\) | 0.115638 | 0.00493083 | ||||||||
\(551\) | −6.77135 | − | 11.7283i | −0.288469 | − | 0.499643i | ||||
\(552\) | −3.92200 | − | 6.79310i | −0.166931 | − | 0.289133i | ||||
\(553\) | −6.17978 | + | 10.7037i | −0.262791 | + | 0.455167i | ||||
\(554\) | 36.3495 | 1.54434 | ||||||||
\(555\) | 0.694460 | + | 1.20284i | 0.0294782 | + | 0.0510577i | ||||
\(556\) | −74.7457 | −3.16993 | ||||||||
\(557\) | 26.3971 | 1.11848 | 0.559241 | − | 0.829005i | \(-0.311093\pi\) | ||||
0.559241 | + | 0.829005i | \(0.311093\pi\) | |||||||
\(558\) | −45.0519 | − | 32.9306i | −1.90720 | − | 1.39406i | ||||
\(559\) | −11.8111 | −0.499558 | ||||||||
\(560\) | 0.512832 | 0.0216711 | ||||||||
\(561\) | −0.0322519 | − | 0.0558620i | −0.00136168 | − | 0.00235850i | ||||
\(562\) | −75.6525 | −3.19121 | ||||||||
\(563\) | −2.39000 | + | 4.13960i | −0.100727 | + | 0.174464i | −0.911984 | − | 0.410225i | \(-0.865450\pi\) |
0.811258 | + | 0.584689i | \(0.198783\pi\) | |||||||
\(564\) | 34.6866 | + | 60.0790i | 1.46057 | + | 2.52978i | ||||
\(565\) | −0.647128 | − | 1.12086i | −0.0272249 | − | 0.0471548i | ||||
\(566\) | −18.6082 | −0.782159 | ||||||||
\(567\) | 7.24874 | − | 12.5552i | 0.304419 | − | 0.527269i | ||||
\(568\) | −3.94747 | + | 6.83722i | −0.165632 | + | 0.286883i | ||||
\(569\) | 7.22055 | − | 12.5064i | 0.302701 | − | 0.524294i | −0.674046 | − | 0.738690i | \(-0.735445\pi\) |
0.976747 | + | 0.214396i | \(0.0687782\pi\) | |||||||
\(570\) | 1.38626 | + | 2.40107i | 0.0580639 | + | 0.100570i | ||||
\(571\) | 0.262156 | − | 0.454067i | 0.0109709 | − | 0.0190021i | −0.860488 | − | 0.509471i | \(-0.829841\pi\) |
0.871459 | + | 0.490469i | \(0.163174\pi\) | |||||||
\(572\) | 0.0173835 | + | 0.0301091i | 0.000726839 | + | 0.00125892i | ||||
\(573\) | 63.4865 | 2.65219 | ||||||||
\(574\) | 48.4108 | 2.02063 | ||||||||
\(575\) | −2.02101 | − | 3.50048i | −0.0842818 | − | 0.145980i | ||||
\(576\) | 25.5401 | − | 44.2367i | 1.06417 | − | 1.84319i | ||||
\(577\) | 16.9655 | + | 29.3851i | 0.706283 | + | 1.22332i | 0.966227 | + | 0.257694i | \(0.0829625\pi\) |
−0.259944 | + | 0.965624i | \(0.583704\pi\) | |||||||
\(578\) | 13.0479 | − | 22.5995i | 0.542719 | − | 0.940017i | ||||
\(579\) | 26.5923 | − | 46.0593i | 1.10514 | − | 1.91416i | ||||
\(580\) | −0.460135 | + | 0.796978i | −0.0191061 | + | 0.0330927i | ||||
\(581\) | −34.0513 | −1.41269 | ||||||||
\(582\) | −31.8660 | − | 55.1935i | −1.32089 | − | 2.28784i | ||||
\(583\) | −0.0140078 | − | 0.0242622i | −0.000580144 | − | 0.00100484i | ||||
\(584\) | 5.42253 | − | 9.39210i | 0.224386 | − | 0.388648i | ||||
\(585\) | 0.391274 | 0.0161772 | ||||||||
\(586\) | 26.0463 | + | 45.1136i | 1.07596 | + | 1.86362i | ||||
\(587\) | 9.04716 | 0.373416 | 0.186708 | − | 0.982415i | \(-0.440218\pi\) | ||||
0.186708 | + | 0.982415i | \(0.440218\pi\) | |||||||
\(588\) | −86.1170 | −3.55140 | ||||||||
\(589\) | 24.2759 | − | 10.7248i | 1.00027 | − | 0.441906i | ||||
\(590\) | 3.12024 | 0.128458 | ||||||||
\(591\) | −56.8391 | −2.33805 | ||||||||
\(592\) | −3.91423 | − | 6.77965i | −0.160874 | − | 0.278642i | ||||
\(593\) | 10.7119 | 0.439884 | 0.219942 | − | 0.975513i | \(-0.429413\pi\) | ||||
0.219942 | + | 0.975513i | \(0.429413\pi\) | |||||||
\(594\) | −0.0394134 | + | 0.0682661i | −0.00161715 | + | 0.00280099i | ||||
\(595\) | −0.446766 | − | 0.773821i | −0.0183156 | − | 0.0317236i | ||||
\(596\) | 36.9062 | + | 63.9234i | 1.51174 | + | 2.61840i | ||||
\(597\) | −19.7897 | −0.809937 | ||||||||
\(598\) | 0.952009 | − | 1.64893i | 0.0389306 | − | 0.0674297i | ||||
\(599\) | −16.4028 | + | 28.4105i | −0.670200 | + | 1.16082i | 0.307647 | + | 0.951501i | \(0.400458\pi\) |
−0.977847 | + | 0.209320i | \(0.932875\pi\) | |||||||
\(600\) | −24.1760 | + | 41.8741i | −0.986982 | + | 1.70950i | ||||
\(601\) | 10.5817 | + | 18.3280i | 0.431635 | + | 0.747614i | 0.997014 | − | 0.0772169i | \(-0.0246034\pi\) |
−0.565379 | + | 0.824831i | \(0.691270\pi\) | |||||||
\(602\) | 55.6404 | − | 96.3719i | 2.26773 | − | 3.92783i | ||||
\(603\) | −11.8701 | − | 20.5596i | −0.483388 | − | 0.837252i | ||||
\(604\) | 56.3309 | 2.29207 | ||||||||
\(605\) | −1.00971 | −0.0410504 | ||||||||
\(606\) | −38.2187 | − | 66.1967i | −1.55253 | − | 2.68906i | ||||
\(607\) | −6.76080 | + | 11.7100i | −0.274412 | + | 0.475296i | −0.969987 | − | 0.243158i | \(-0.921817\pi\) |
0.695574 | + | 0.718454i | \(0.255150\pi\) | |||||||
\(608\) | 9.31986 | + | 16.1425i | 0.377970 | + | 0.654663i | ||||
\(609\) | 15.3401 | − | 26.5698i | 0.621612 | − | 1.07666i | ||||
\(610\) | −1.27231 | + | 2.20371i | −0.0515145 | + | 0.0892258i | ||||
\(611\) | −3.64756 | + | 6.31776i | −0.147564 | + | 0.255589i | ||||
\(612\) | 36.5406 | 1.47706 | ||||||||
\(613\) | −6.33371 | − | 10.9703i | −0.255816 | − | 0.443087i | 0.709301 | − | 0.704906i | \(-0.249011\pi\) |
−0.965117 | + | 0.261819i | \(0.915678\pi\) | |||||||
\(614\) | 4.16418 | + | 7.21258i | 0.168053 | + | 0.291076i | ||||
\(615\) | 0.635531 | − | 1.10077i | 0.0256271 | − | 0.0443874i | ||||
\(616\) | −0.141906 | −0.00571755 | ||||||||
\(617\) | 10.4563 | + | 18.1109i | 0.420956 | + | 0.729116i | 0.996033 | − | 0.0889825i | \(-0.0283615\pi\) |
−0.575078 | + | 0.818099i | \(0.695028\pi\) | |||||||
\(618\) | 70.2766 | 2.82694 | ||||||||
\(619\) | 1.86008 | 0.0747628 | 0.0373814 | − | 0.999301i | \(-0.488098\pi\) | ||||
0.0373814 | + | 0.999301i | \(0.488098\pi\) | |||||||
\(620\) | −1.45596 | − | 1.06423i | −0.0584726 | − | 0.0427403i | ||||
\(621\) | 2.75531 | 0.110567 | ||||||||
\(622\) | −57.1243 | −2.29048 | ||||||||
\(623\) | 4.74564 | + | 8.21969i | 0.190130 | + | 0.329315i | ||||
\(624\) | −3.75749 | −0.150420 | ||||||||
\(625\) | −12.4368 | + | 21.5412i | −0.497474 | + | 0.861650i | ||||
\(626\) | −13.1139 | − | 22.7139i | −0.524137 | − | 0.907832i | ||||
\(627\) | −0.0632817 | − | 0.109607i | −0.00252723 | − | 0.00437729i | ||||
\(628\) | −28.0040 | −1.11748 | ||||||||
\(629\) | −6.81996 | + | 11.8125i | −0.271930 | + | 0.470996i | ||||
\(630\) | −1.84322 | + | 3.19256i | −0.0734358 | + | 0.127195i | ||||
\(631\) | −9.95353 | + | 17.2400i | −0.396244 | + | 0.686314i | −0.993259 | − | 0.115916i | \(-0.963020\pi\) |
0.597015 | + | 0.802230i | \(0.296353\pi\) | |||||||
\(632\) | −5.54355 | − | 9.60170i | −0.220510 | − | 0.381935i | ||||
\(633\) | −10.9955 | + | 19.0447i | −0.437031 | + | 0.756959i | ||||
\(634\) | −10.8485 | − | 18.7902i | −0.430851 | − | 0.746255i | ||||
\(635\) | 0.909127 | 0.0360776 | ||||||||
\(636\) | 27.0400 | 1.07221 | ||||||||
\(637\) | −4.52792 | − | 7.84259i | −0.179403 | − | 0.310735i | ||||
\(638\) | 0.0329101 | − | 0.0570020i | 0.00130292 | − | 0.00225673i | ||||
\(639\) | −4.68125 | − | 8.10816i | −0.185187 | − | 0.320754i | ||||
\(640\) | 0.934247 | − | 1.61816i | 0.0369294 | − | 0.0639635i | ||||
\(641\) | 1.53767 | − | 2.66333i | 0.0607345 | − | 0.105195i | −0.834059 | − | 0.551675i | \(-0.813989\pi\) |
0.894794 | + | 0.446479i | \(0.147322\pi\) | |||||||
\(642\) | −0.0442417 | + | 0.0766289i | −0.00174608 | + | 0.00302430i | ||||
\(643\) | 5.02770 | 0.198273 | 0.0991365 | − | 0.995074i | \(-0.468392\pi\) | ||||
0.0991365 | + | 0.995074i | \(0.468392\pi\) | |||||||
\(644\) | 5.72480 | + | 9.91565i | 0.225589 | + | 0.390731i | ||||
\(645\) | −1.46088 | − | 2.53032i | −0.0575221 | − | 0.0996312i | ||||
\(646\) | −13.6138 | + | 23.5797i | −0.535626 | + | 0.927732i | ||||
\(647\) | 0.153149 | 0.00602091 | 0.00301045 | − | 0.999995i | \(-0.499042\pi\) | ||||
0.00301045 | + | 0.999995i | \(0.499042\pi\) | |||||||
\(648\) | 6.50246 | + | 11.2626i | 0.255441 | + | 0.442436i | ||||
\(649\) | −0.142437 | −0.00559115 | ||||||||
\(650\) | −11.7368 | −0.460354 | ||||||||
\(651\) | 48.5390 | + | 35.4794i | 1.90239 | + | 1.39055i | ||||
\(652\) | 29.6560 | 1.16142 | ||||||||
\(653\) | −48.0459 | −1.88018 | −0.940091 | − | 0.340922i | \(-0.889261\pi\) | ||||
−0.940091 | + | 0.340922i | \(0.889261\pi\) | |||||||
\(654\) | 44.4299 | + | 76.9548i | 1.73735 | + | 3.00917i | ||||
\(655\) | −0.0430977 | −0.00168397 | ||||||||
\(656\) | −3.58209 | + | 6.20436i | −0.139857 | + | 0.242240i | ||||
\(657\) | 6.43051 | + | 11.1380i | 0.250878 | + | 0.434533i | ||||
\(658\) | −34.3661 | − | 59.5238i | −1.33973 | − | 2.32048i | ||||
\(659\) | 10.4959 | 0.408862 | 0.204431 | − | 0.978881i | \(-0.434466\pi\) | ||||
0.204431 | + | 0.978881i | \(0.434466\pi\) | |||||||
\(660\) | −0.00430020 | + | 0.00744817i | −0.000167385 | + | 0.000289919i | ||||
\(661\) | −15.7391 | + | 27.2609i | −0.612179 | + | 1.06032i | 0.378694 | + | 0.925522i | \(0.376373\pi\) |
−0.990872 | + | 0.134803i | \(0.956960\pi\) | |||||||
\(662\) | −7.06055 | + | 12.2292i | −0.274416 | + | 0.475303i | ||||
\(663\) | 3.27343 | + | 5.66975i | 0.127130 | + | 0.220195i | ||||
\(664\) | 15.2728 | − | 26.4532i | 0.592699 | − | 1.02659i | ||||
\(665\) | −0.876603 | − | 1.51832i | −0.0339932 | − | 0.0588779i | ||||
\(666\) | 56.2743 | 2.18058 | ||||||||
\(667\) | −2.30068 | −0.0890825 | ||||||||
\(668\) | −26.5148 | − | 45.9249i | −1.02589 | − | 1.77689i | ||||
\(669\) | −7.49519 | + | 12.9821i | −0.289781 | + | 0.501915i | ||||
\(670\) | −0.601032 | − | 1.04102i | −0.0232199 | − | 0.0402180i | ||||
\(671\) | 0.0580804 | − | 0.100598i | 0.00224217 | − | 0.00388355i | ||||
\(672\) | −21.1136 | + | 36.5698i | −0.814474 | + | 1.41071i | ||||
\(673\) | 25.1738 | − | 43.6023i | 0.970379 | − | 1.68075i | 0.275968 | − | 0.961167i | \(-0.411002\pi\) |
0.694411 | − | 0.719579i | \(-0.255665\pi\) | |||||||
\(674\) | 57.1510 | 2.20138 | ||||||||
\(675\) | −8.49215 | − | 14.7088i | −0.326863 | − | 0.566144i | ||||
\(676\) | −1.76435 | − | 3.05594i | −0.0678595 | − | 0.117536i | ||||
\(677\) | 8.65338 | − | 14.9881i | 0.332576 | − | 0.576039i | −0.650440 | − | 0.759558i | \(-0.725415\pi\) |
0.983016 | + | 0.183519i | \(0.0587488\pi\) | |||||||
\(678\) | −89.3451 | −3.43128 | ||||||||
\(679\) | 20.1505 | + | 34.9017i | 0.773306 | + | 1.33941i | ||||
\(680\) | 0.801539 | 0.0307376 | ||||||||
\(681\) | 9.32765 | 0.357436 | ||||||||
\(682\) | 0.104134 | + | 0.0761163i | 0.00398749 | + | 0.00291464i | ||||
\(683\) | −6.70441 | −0.256537 | −0.128269 | − | 0.991739i | \(-0.540942\pi\) | ||||
−0.128269 | + | 0.991739i | \(0.540942\pi\) | |||||||
\(684\) | 71.6965 | 2.74138 | ||||||||
\(685\) | −0.426852 | − | 0.739329i | −0.0163092 | − | 0.0282483i | ||||
\(686\) | 19.3695 | 0.739531 | ||||||||
\(687\) | 24.6516 | − | 42.6978i | 0.940517 | − | 1.62902i | ||||
\(688\) | 8.23406 | + | 14.2618i | 0.313921 | + | 0.543726i | ||||
\(689\) | 1.42173 | + | 2.46251i | 0.0541636 | + | 0.0938141i | ||||
\(690\) | 0.471003 | 0.0179308 | ||||||||
\(691\) | 1.90995 | − | 3.30813i | 0.0726578 | − | 0.125847i | −0.827408 | − | 0.561602i | \(-0.810185\pi\) |
0.900065 | + | 0.435755i | \(0.143519\pi\) | |||||||
\(692\) | 7.32001 | − | 12.6786i | 0.278265 | − | 0.481969i | ||||
\(693\) | 0.0841421 | − | 0.145738i | 0.00319629 | − | 0.00553614i | ||||
\(694\) | −33.8439 | − | 58.6194i | −1.28470 | − | 2.22516i | ||||
\(695\) | 0.972185 | − | 1.68387i | 0.0368771 | − | 0.0638730i | ||||
\(696\) | 13.7608 | + | 23.8343i | 0.521600 | + | 0.903439i | ||||
\(697\) | 12.4825 | 0.472809 | ||||||||
\(698\) | 84.8497 | 3.21161 | ||||||||
\(699\) | 26.9017 | + | 46.5951i | 1.01752 | + | 1.76239i | ||||
\(700\) | 35.2889 | − | 61.1221i | 1.33379 | − | 2.31020i | ||||
\(701\) | 1.24702 | + | 2.15991i | 0.0470994 | + | 0.0815785i | 0.888614 | − | 0.458656i | \(-0.151669\pi\) |
−0.841515 | + | 0.540234i | \(0.818336\pi\) | |||||||
\(702\) | 4.00029 | − | 6.92871i | 0.150981 | − | 0.261507i | ||||
\(703\) | −13.3815 | + | 23.1774i | −0.504693 | + | 0.874153i | ||||
\(704\) | −0.0590337 | + | 0.102249i | −0.00222492 | + | 0.00385367i | ||||
\(705\) | −1.80461 | −0.0679657 | ||||||||
\(706\) | 34.5914 | + | 59.9141i | 1.30187 | + | 2.25490i | ||||
\(707\) | 24.1677 | + | 41.8597i | 0.908920 | + | 1.57430i | ||||
\(708\) | 68.7386 | − | 119.059i | 2.58336 | − | 4.47450i | ||||
\(709\) | 0.997071 | 0.0374458 | 0.0187229 | − | 0.999825i | \(-0.494040\pi\) | ||||
0.0187229 | + | 0.999825i | \(0.494040\pi\) | |||||||
\(710\) | −0.237031 | − | 0.410549i | −0.00889561 | − | 0.0154076i | ||||
\(711\) | 13.1480 | 0.493089 | ||||||||
\(712\) | −8.51411 | −0.319080 | ||||||||
\(713\) | 0.484172 | − | 4.48252i | 0.0181324 | − | 0.167872i | ||||
\(714\) | −61.6824 | −2.30840 | ||||||||
\(715\) | −0.000904397 | 0 | −3.38225e−5 | 0 | ||||||
\(716\) | −15.3011 | − | 26.5023i | −0.571830 | − | 0.990438i | ||||
\(717\) | 55.9533 | 2.08961 | ||||||||
\(718\) | −35.8509 | + | 62.0956i | −1.33794 | + | 2.31739i | ||||
\(719\) | 14.8305 | + | 25.6872i | 0.553085 | + | 0.957971i | 0.998050 | + | 0.0624232i | \(0.0198828\pi\) |
−0.444965 | + | 0.895548i | \(0.646784\pi\) | |||||||
\(720\) | −0.272774 | − | 0.472458i | −0.0101657 | − | 0.0176075i | ||||
\(721\) | −44.4396 | −1.65502 | ||||||||
\(722\) | −4.37415 | + | 7.57625i | −0.162789 | + | 0.281959i | ||||
\(723\) | −14.1325 | + | 24.4781i | −0.525592 | + | 0.910352i | ||||
\(724\) | 3.80223 | − | 6.58566i | 0.141309 | − | 0.244754i | ||||
\(725\) | 7.09092 | + | 12.2818i | 0.263350 | + | 0.456136i | ||||
\(726\) | −34.8511 | + | 60.3638i | −1.29344 | + | 2.24031i | ||||
\(727\) | −5.46012 | − | 9.45720i | −0.202504 | − | 0.350748i | 0.746830 | − | 0.665015i | \(-0.231575\pi\) |
−0.949335 | + | 0.314267i | \(0.898241\pi\) | |||||||
\(728\) | 14.4028 | 0.533805 | ||||||||
\(729\) | −42.9315 | −1.59006 | ||||||||
\(730\) | 0.325603 | + | 0.563961i | 0.0120511 | + | 0.0208731i | ||||
\(731\) | 14.3466 | − | 24.8491i | 0.530629 | − | 0.919076i | ||||
\(732\) | 56.0579 | + | 97.0951i | 2.07196 | + | 3.58874i | ||||
\(733\) | 2.44544 | − | 4.23563i | 0.0903244 | − | 0.156446i | −0.817323 | − | 0.576179i | \(-0.804543\pi\) |
0.907648 | + | 0.419733i | \(0.137876\pi\) | |||||||
\(734\) | 41.4226 | − | 71.7460i | 1.52894 | − | 2.64819i | ||||
\(735\) | 1.12009 | − | 1.94005i | 0.0413150 | − | 0.0715597i | ||||
\(736\) | 3.16657 | 0.116721 | ||||||||
\(737\) | 0.0274367 | + | 0.0475218i | 0.00101065 | + | 0.00175049i | ||||
\(738\) | −25.7496 | − | 44.5996i | −0.947855 | − | 1.64173i | ||||
\(739\) | 10.5630 | − | 18.2957i | 0.388566 | − | 0.673016i | −0.603691 | − | 0.797219i | \(-0.706304\pi\) |
0.992257 | + | 0.124202i | \(0.0396371\pi\) | |||||||
\(740\) | 1.81863 | 0.0668542 | ||||||||
\(741\) | 6.42282 | + | 11.1247i | 0.235948 | + | 0.408674i | ||||
\(742\) | −26.7901 | −0.983497 | ||||||||
\(743\) | −0.609608 | −0.0223643 | −0.0111822 | − | 0.999937i | \(-0.503559\pi\) | ||||
−0.0111822 | + | 0.999937i | \(0.503559\pi\) | |||||||
\(744\) | −49.3335 | + | 21.7949i | −1.80866 | + | 0.799040i | ||||
\(745\) | −1.92009 | −0.0703466 | ||||||||
\(746\) | 45.0921 | 1.65094 | ||||||||
\(747\) | 18.1118 | + | 31.3705i | 0.662675 | + | 1.14779i | ||||
\(748\) | −0.0844605 | −0.00308818 | ||||||||
\(749\) | 0.0279764 | − | 0.0484565i | 0.00102223 | − | 0.00177056i | ||||
\(750\) | −2.90581 | − | 5.03301i | −0.106105 | − | 0.183780i | ||||
\(751\) | −1.76865 | − | 3.06340i | −0.0645391 | − | 0.111785i | 0.831950 | − | 0.554850i | \(-0.187224\pi\) |
−0.896489 | + | 0.443065i | \(0.853891\pi\) | |||||||
\(752\) | 10.1715 | 0.370916 | ||||||||
\(753\) | 0.0128506 | − | 0.0222578i | 0.000468300 | − | 0.000811120i | ||||
\(754\) | −3.34023 | + | 5.78545i | −0.121644 | + | 0.210694i | ||||
\(755\) | −0.732671 | + | 1.26902i | −0.0266646 | + | 0.0461845i | ||||
\(756\) | 24.0553 | + | 41.6650i | 0.874883 | + | 1.51534i | ||||
\(757\) | −6.27342 | + | 10.8659i | −0.228011 | + | 0.394927i | −0.957219 | − | 0.289366i | \(-0.906556\pi\) |
0.729207 | + | 0.684293i | \(0.239889\pi\) | |||||||
\(758\) | −25.3310 | − | 43.8746i | −0.920063 | − | 1.59360i | ||||
\(759\) | −0.0215010 | −0.000780437 | ||||||||
\(760\) | 1.57271 | 0.0570480 | ||||||||
\(761\) | 9.74494 | + | 16.8787i | 0.353254 | + | 0.611854i | 0.986818 | − | 0.161837i | \(-0.0517419\pi\) |
−0.633564 | + | 0.773691i | \(0.718409\pi\) | |||||||
\(762\) | 31.3794 | − | 54.3508i | 1.13676 | − | 1.96892i | ||||
\(763\) | −28.0954 | − | 48.6626i | −1.01712 | − | 1.76170i | ||||
\(764\) | 41.5642 | − | 71.9913i | 1.50374 | − | 2.60455i | ||||
\(765\) | −0.475267 | + | 0.823187i | −0.0171833 | + | 0.0297624i | ||||
\(766\) | 6.02828 | − | 10.4413i | 0.217811 | − | 0.377259i | ||||
\(767\) | 14.4568 | 0.522003 | ||||||||
\(768\) | −32.1989 | − | 55.7701i | −1.16188 | − | 2.01243i | ||||
\(769\) | −3.88838 | − | 6.73488i | −0.140219 | − | 0.242866i | 0.787360 | − | 0.616493i | \(-0.211447\pi\) |
−0.927579 | + | 0.373627i | \(0.878114\pi\) | |||||||
\(770\) | 0.00426046 | − | 0.00737934i | 0.000153536 | − | 0.000265933i | ||||
\(771\) | −11.7168 | −0.421971 | ||||||||
\(772\) | −34.8197 | − | 60.3094i | −1.25319 | − | 2.17058i | ||||
\(773\) | −27.5806 | −0.992004 | −0.496002 | − | 0.868321i | \(-0.665199\pi\) | ||||
−0.496002 | + | 0.868321i | \(0.665199\pi\) | |||||||
\(774\) | −118.380 | −4.25507 | ||||||||
\(775\) | −25.4216 | + | 11.2309i | −0.913170 | + | 0.403426i | ||||
\(776\) | −36.1519 | −1.29778 | ||||||||
\(777\) | −60.6300 | −2.17509 | ||||||||
\(778\) | −18.2451 | − | 31.6015i | −0.654120 | − | 1.13297i | ||||
\(779\) | 24.4920 | 0.877518 | ||||||||
\(780\) | 0.436452 | − | 0.755956i | 0.0156275 | − | 0.0270676i | ||||
\(781\) | 0.0108203 | + | 0.0187413i | 0.000387181 | + | 0.000670618i | ||||
\(782\) | 2.31275 | + | 4.00580i | 0.0827037 | + | 0.143247i | ||||
\(783\) | −9.66731 | −0.345481 | ||||||||
\(784\) | −6.31322 | + | 10.9348i | −0.225472 | + | 0.390529i | ||||
\(785\) | 0.364235 | − | 0.630874i | 0.0130001 | − | 0.0225169i | ||||
\(786\) | −1.48756 | + | 2.57653i | −0.0530596 | + | 0.0919019i | ||||
\(787\) | 6.82762 | + | 11.8258i | 0.243378 | + | 0.421544i | 0.961674 | − | 0.274194i | \(-0.0884110\pi\) |
−0.718296 | + | 0.695738i | \(0.755078\pi\) | |||||||
\(788\) | −37.2122 | + | 64.4533i | −1.32563 | + | 2.29606i | ||||
\(789\) | 21.3354 | + | 36.9540i | 0.759560 | + | 1.31560i | ||||
\(790\) | 0.665739 | 0.0236859 | ||||||||
\(791\) | 56.4976 | 2.00882 | ||||||||
\(792\) | 0.0754794 | + | 0.130734i | 0.00268204 | + | 0.00464543i | ||||
\(793\) | −5.89491 | + | 10.2103i | −0.209334 | + | 0.362578i | ||||
\(794\) | −20.0104 | − | 34.6591i | −0.710144 | − | 1.23001i | ||||
\(795\) | −0.351698 | + | 0.609158i | −0.0124734 | + | 0.0216046i | ||||
\(796\) | −12.9562 | + | 22.4407i | −0.459219 | + | 0.795390i | ||||
\(797\) | −11.5745 | + | 20.0476i | −0.409990 | + | 0.710123i | −0.994888 | − | 0.100983i | \(-0.967801\pi\) |
0.584898 | + | 0.811107i | \(0.301134\pi\) | |||||||
\(798\) | −121.027 | −4.28432 | ||||||||
\(799\) | −8.86114 | − | 15.3479i | −0.313484 | − | 0.542971i | ||||
\(800\) | −9.75971 | − | 16.9043i | −0.345058 | − | 0.597658i | ||||
\(801\) | 5.04838 | − | 8.74406i | 0.178376 | − | 0.308956i | ||||
\(802\) | −90.2255 | −3.18597 | ||||||||
\(803\) | −0.0148636 | − | 0.0257445i | −0.000524525 | − | 0.000908503i | ||||
\(804\) | −52.9627 | −1.86785 | ||||||||
\(805\) | −0.297840 | −0.0104975 | ||||||||
\(806\) | −10.5691 | − | 7.72547i | −0.372282 | − | 0.272118i | ||||
\(807\) | −59.7148 | −2.10206 | ||||||||
\(808\) | −43.3591 | −1.52537 | ||||||||
\(809\) | 12.0064 | + | 20.7956i | 0.422121 | + | 0.731135i | 0.996147 | − | 0.0877022i | \(-0.0279524\pi\) |
−0.574026 | + | 0.818837i | \(0.694619\pi\) | |||||||
\(810\) | −0.780897 | −0.0274379 | ||||||||
\(811\) | 14.5872 | − | 25.2657i | 0.512225 | − | 0.887200i | −0.487675 | − | 0.873026i | \(-0.662155\pi\) |
0.999900 | − | 0.0141742i | \(-0.00451194\pi\) | |||||||
\(812\) | −20.0861 | − | 34.7902i | −0.704884 | − | 1.22090i | ||||
\(813\) | 30.3308 | + | 52.5346i | 1.06375 | + | 1.84247i | ||||
\(814\) | −0.130073 | −0.00455907 | ||||||||
\(815\) | −0.385723 | + | 0.668092i | −0.0135113 | + | 0.0234022i | ||||
\(816\) | 4.56410 | − | 7.90525i | 0.159775 | − | 0.276739i | ||||
\(817\) | 28.1496 | − | 48.7565i | 0.984829 | − | 1.70577i | ||||
\(818\) | 15.9319 | + | 27.5949i | 0.557046 | + | 0.964832i | ||||
\(819\) | −8.54006 | + | 14.7918i | −0.298414 | + | 0.516868i | ||||
\(820\) | −0.832156 | − | 1.44134i | −0.0290602 | − | 0.0503337i | ||||
\(821\) | −0.728860 | −0.0254374 | −0.0127187 | − | 0.999919i | \(-0.504049\pi\) | ||||
−0.0127187 | + | 0.999919i | \(0.504049\pi\) | |||||||
\(822\) | −58.9329 | −2.05552 | ||||||||
\(823\) | 10.1179 | + | 17.5248i | 0.352689 | + | 0.610875i | 0.986720 | − | 0.162433i | \(-0.0519340\pi\) |
−0.634031 | + | 0.773308i | \(0.718601\pi\) | |||||||
\(824\) | 19.9322 | − | 34.5235i | 0.694370 | − | 1.20268i | ||||
\(825\) | 0.0662683 | + | 0.114780i | 0.00230717 | + | 0.00399613i | ||||
\(826\) | −68.1034 | + | 117.959i | −2.36962 | + | 4.10430i | ||||
\(827\) | 3.55806 | − | 6.16275i | 0.123726 | − | 0.214300i | −0.797508 | − | 0.603308i | \(-0.793849\pi\) |
0.921234 | + | 0.389008i | \(0.127182\pi\) | |||||||
\(828\) | 6.09001 | − | 10.5482i | 0.211642 | − | 0.366576i | ||||
\(829\) | −23.3707 | −0.811697 | −0.405848 | − | 0.913940i | \(-0.633024\pi\) | ||||
−0.405848 | + | 0.913940i | \(0.633024\pi\) | |||||||
\(830\) | 0.917074 | + | 1.58842i | 0.0318321 | + | 0.0551348i | ||||
\(831\) | 20.8307 | + | 36.0798i | 0.722607 | + | 1.25159i | ||||
\(832\) | 5.99167 | − | 10.3779i | 0.207724 | − | 0.359788i | ||||
\(833\) | 21.9997 | 0.762244 | ||||||||
\(834\) | −67.1119 | − | 116.241i | −2.32390 | − | 4.02511i | ||||
\(835\) | 1.37946 | 0.0477383 | ||||||||
\(836\) | −0.165721 | −0.00573156 | ||||||||
\(837\) | 2.03446 | − | 18.8353i | 0.0703213 | − | 0.651043i | ||||
\(838\) | −52.9669 | −1.82971 | ||||||||
\(839\) | 19.1966 | 0.662741 | 0.331371 | − | 0.943501i | \(-0.392489\pi\) | ||||
0.331371 | + | 0.943501i | \(0.392489\pi\) | |||||||
\(840\) | 1.78144 | + | 3.08554i | 0.0614654 | + | 0.106461i | ||||
\(841\) | −20.9278 | −0.721649 | ||||||||
\(842\) | −22.8060 | + | 39.5011i | −0.785945 | + | 1.36130i | ||||
\(843\) | −43.3539 | − | 75.0911i | −1.49319 | − | 2.58628i | ||||
\(844\) | 14.3973 | + | 24.9369i | 0.495576 | + | 0.858363i | ||||
\(845\) | 0.0917923 | 0.00315775 | ||||||||
\(846\) | −36.5584 | + | 63.3211i | −1.25691 | + | 2.17702i | ||||
\(847\) | 22.0382 | − | 38.1712i | 0.757240 | − | 1.31158i | ||||
\(848\) | 1.98230 | − | 3.43344i | 0.0680724 | − | 0.117905i | ||||
\(849\) | −10.6637 | − | 18.4701i | −0.365977 | − | 0.633891i | ||||
\(850\) | 14.2563 | − | 24.6926i | 0.488986 | − | 0.846949i | ||||
\(851\) | 2.27329 | + | 3.93745i | 0.0779274 | + | 0.134974i | ||||
\(852\) | −20.8870 | −0.715578 | ||||||||
\(853\) | −15.4548 | −0.529162 | −0.264581 | − | 0.964364i | \(-0.585234\pi\) | ||||
−0.264581 | + | 0.964364i | \(0.585234\pi\) | |||||||
\(854\) | −55.5399 | − | 96.1979i | −1.90054 | − | 3.29182i | ||||
\(855\) | −0.932525 | + | 1.61518i | −0.0318917 | + | 0.0552380i | ||||
\(856\) | 0.0250961 | + | 0.0434677i | 0.000857766 | + | 0.00148569i | ||||
\(857\) | 20.7902 | − | 36.0097i | 0.710179 | − | 1.23007i | −0.254610 | − | 0.967044i | \(-0.581947\pi\) |
0.964790 | − | 0.263023i | \(-0.0847194\pi\) | |||||||
\(858\) | −0.0312162 | + | 0.0540680i | −0.00106570 | + | 0.00184585i | ||||
\(859\) | 3.41633 | − | 5.91725i | 0.116564 | − | 0.201894i | −0.801840 | − | 0.597539i | \(-0.796145\pi\) |
0.918404 | + | 0.395645i | \(0.129479\pi\) | |||||||
\(860\) | −3.82571 | −0.130456 | ||||||||
\(861\) | 27.7426 | + | 48.0516i | 0.945465 | + | 1.63759i | ||||
\(862\) | −18.0771 | − | 31.3105i | −0.615710 | − | 1.06644i | ||||
\(863\) | 3.96322 | − | 6.86449i | 0.134909 | − | 0.233670i | −0.790653 | − | 0.612264i | \(-0.790259\pi\) |
0.925563 | + | 0.378594i | \(0.123592\pi\) | |||||||
\(864\) | 13.3058 | 0.452671 | ||||||||
\(865\) | 0.190416 | + | 0.329811i | 0.00647435 | + | 0.0112139i | ||||
\(866\) | 55.6397 | 1.89071 | ||||||||
\(867\) | 29.9091 | 1.01577 | ||||||||
\(868\) | 72.0104 | − | 31.8132i | 2.44419 | − | 1.07981i | ||||
\(869\) | −0.0303906 | −0.00103093 | ||||||||
\(870\) | −1.65257 | −0.0560272 | ||||||||
\(871\) | −2.78471 | − | 4.82326i | −0.0943563 | − | 0.163430i | ||||
\(872\) | 50.4057 | 1.70695 | ||||||||
\(873\) | 21.4360 | − | 37.1283i | 0.725499 | − | 1.25660i | ||||
\(874\) | 4.53786 | + | 7.85980i | 0.153495 | + | 0.265862i | ||||
\(875\) | 1.83750 | + | 3.18264i | 0.0621188 | + | 0.107593i | ||||
\(876\) | 28.6920 | 0.969413 | ||||||||
\(877\) | −7.11708 | + | 12.3272i | −0.240327 | + | 0.416258i | −0.960807 | − | 0.277217i | \(-0.910588\pi\) |
0.720481 | + | 0.693475i | \(0.243921\pi\) | |||||||
\(878\) | 5.87052 | − | 10.1680i | 0.198120 | − | 0.343154i | ||||
\(879\) | −29.8525 | + | 51.7061i | −1.00690 | + | 1.74400i | ||||
\(880\) | 0.000630494 | 0.00109205i | 2.12539e−5 | 3.68129e-5i | ||||||
\(881\) | −2.51538 | + | 4.35677i | −0.0847453 | + | 0.146783i | −0.905283 | − | 0.424810i | \(-0.860341\pi\) |
0.820537 | + | 0.571593i | \(0.193674\pi\) | |||||||
\(882\) | −45.3821 | − | 78.6041i | −1.52809 | − | 2.64674i | ||||
\(883\) | 53.4135 | 1.79751 | 0.898754 | − | 0.438453i | \(-0.144474\pi\) | ||||
0.898754 | + | 0.438453i | \(0.144474\pi\) | |||||||
\(884\) | 8.57237 | 0.288320 | ||||||||
\(885\) | 1.78811 | + | 3.09709i | 0.0601065 | + | 0.104108i | ||||
\(886\) | 12.8772 | − | 22.3039i | 0.432617 | − | 0.749314i | ||||
\(887\) | −18.5776 | − | 32.1773i | −0.623774 | − | 1.08041i | −0.988776 | − | 0.149402i | \(-0.952265\pi\) |
0.365002 | − | 0.931007i | \(-0.381068\pi\) | |||||||
\(888\) | 27.1939 | − | 47.1013i | 0.912569 | − | 1.58062i | ||||
\(889\) | −19.8429 | + | 34.3689i | −0.665509 | + | 1.15269i | ||||
\(890\) | 0.255620 | − | 0.442748i | 0.00856842 | − | 0.0148409i | ||||
\(891\) | 0.0356475 | 0.00119424 | ||||||||
\(892\) | 9.81411 | + | 16.9985i | 0.328601 | + | 0.569153i | ||||
\(893\) | −17.3865 | − | 30.1143i | −0.581817 | − | 1.00774i | ||||
\(894\) | −66.2739 | + | 114.790i | −2.21653 | + | 3.83914i | ||||
\(895\) | 0.796060 | 0.0266094 | ||||||||
\(896\) | 40.7823 | + | 70.6371i | 1.36244 | + | 2.35982i | ||||
\(897\) | 2.18226 | 0.0728634 | ||||||||
\(898\) | 79.0326 | 2.63735 | ||||||||
\(899\) | −1.69877 | + | 15.7274i | −0.0566572 | + | 0.524539i | ||||
\(900\) | −75.0802 | −2.50267 | ||||||||
\(901\) | −6.90771 | −0.230129 | ||||||||
\(902\) | 0.0595180 | + | 0.103088i | 0.00198173 | + | 0.00343246i | ||||
\(903\) | 127.542 | 4.24435 | ||||||||
\(904\) | −25.3405 | + | 43.8910i | −0.842812 | + | 1.45979i | ||||
\(905\) | 0.0989080 | + | 0.171314i | 0.00328781 | + | 0.00569466i | ||||
\(906\) | 50.5778 | + | 87.6033i | 1.68033 | + | 2.91042i | ||||
\(907\) | −14.8956 | −0.494600 | −0.247300 | − | 0.968939i | \(-0.579543\pi\) | ||||
−0.247300 | + | 0.968939i | \(0.579543\pi\) | |||||||
\(908\) | 6.10675 | − | 10.5772i | 0.202660 | − | 0.351017i | ||||
\(909\) | 25.7095 | − | 44.5301i | 0.852729 | − | 1.47697i | ||||
\(910\) | −0.432418 | + | 0.748971i | −0.0143345 | + | 0.0248281i | ||||
\(911\) | 3.56535 | + | 6.17537i | 0.118125 | + | 0.204599i | 0.919025 | − | 0.394200i | \(-0.128978\pi\) |
−0.800899 | + | 0.598799i | \(0.795645\pi\) | |||||||
\(912\) | 8.95525 | − | 15.5109i | 0.296538 | − | 0.513619i | ||||
\(913\) | −0.0418639 | − | 0.0725104i | −0.00138549 | − | 0.00239974i | ||||
\(914\) | −44.0807 | −1.45806 | ||||||||
\(915\) | −2.91648 | −0.0964159 | ||||||||
\(916\) | −32.2785 | − | 55.9080i | −1.06651 | − | 1.84725i | ||||
\(917\) | 0.940664 | − | 1.62928i | 0.0310635 | − | 0.0538035i | ||||
\(918\) | 9.71804 | + | 16.8321i | 0.320743 | + | 0.555543i | ||||
\(919\) | 5.77376 | − | 10.0004i | 0.190459 | − | 0.329884i | −0.754944 | − | 0.655790i | \(-0.772336\pi\) |
0.945402 | + | 0.325906i | \(0.105669\pi\) | |||||||
\(920\) | 0.133588 | − | 0.231381i | 0.00440427 | − | 0.00762842i | ||||
\(921\) | −4.77271 | + | 8.26657i | −0.157266 | + | 0.272393i | ||||
\(922\) | −84.2443 | −2.77444 | ||||||||
\(923\) | −1.09821 | − | 1.90216i | −0.0361482 | − | 0.0626105i | ||||
\(924\) | −0.187715 | − | 0.325132i | −0.00617537 | − | 0.0106961i | ||||
\(925\) | 14.0130 | − | 24.2713i | 0.460746 | − | 0.798035i | ||||
\(926\) | 67.1964 | 2.20821 | ||||||||
\(927\) | 23.6373 | + | 40.9410i | 0.776350 | + | 1.34468i | ||||
\(928\) | −11.1103 | −0.364713 | ||||||||
\(929\) | −50.9257 | −1.67082 | −0.835408 | − | 0.549630i | \(-0.814769\pi\) | ||||
−0.835408 | + | 0.549630i | \(0.814769\pi\) | |||||||
\(930\) | 0.347779 | − | 3.21978i | 0.0114041 | − | 0.105581i | ||||
\(931\) | 43.1657 | 1.41470 | ||||||||
\(932\) | 70.4495 | 2.30765 | ||||||||
\(933\) | −32.7360 | − | 56.7005i | −1.07173 | − | 1.85629i | ||||
\(934\) | 13.2859 | 0.434727 | ||||||||
\(935\) | 0.00109854 | − | 0.00190273i | 3.59261e−5 | − | 6.22259e-5i | ||||
\(936\) | −7.66082 | − | 13.2689i | −0.250402 | − | 0.433709i | ||||
\(937\) | 19.6145 | + | 33.9733i | 0.640778 | + | 1.10986i | 0.985260 | + | 0.171066i | \(0.0547213\pi\) |
−0.344482 | + | 0.938793i | \(0.611945\pi\) | |||||||
\(938\) | 52.4732 | 1.71331 | ||||||||
\(939\) | 15.0303 | − | 26.0332i | 0.490494 | − | 0.849561i | ||||
\(940\) | −1.18147 | + | 2.04636i | −0.0385353 | + | 0.0667451i | ||||
\(941\) | −8.87993 | + | 15.3805i | −0.289477 | + | 0.501390i | −0.973685 | − | 0.227898i | \(-0.926815\pi\) |
0.684208 | + | 0.729287i | \(0.260148\pi\) | |||||||
\(942\) | −25.1439 | − | 43.5505i | −0.819233 | − | 1.41895i | ||||
\(943\) | 2.08039 | − | 3.60334i | 0.0677468 | − | 0.117341i | ||||
\(944\) | −10.0784 | − | 17.4564i | −0.328025 | − | 0.568156i | ||||
\(945\) | −1.25151 | −0.0407115 | ||||||||
\(946\) | 0.273625 | 0.00889632 | ||||||||
\(947\) | 24.4175 | + | 42.2923i | 0.793461 | + | 1.37431i | 0.923812 | + | 0.382846i | \(0.125056\pi\) |
−0.130351 | + | 0.991468i | \(0.541610\pi\) | |||||||
\(948\) | 14.6661 | − | 25.4025i | 0.476334 | − | 0.825035i | ||||
\(949\) | 1.50859 | + | 2.61295i | 0.0489709 | + | 0.0848200i | ||||
\(950\) | 27.9723 | − | 48.4495i | 0.907542 | − | 1.57191i | ||||
\(951\) | 12.4339 | − | 21.5361i | 0.403196 | − | 0.698355i | ||||
\(952\) | −17.4946 | + | 30.3016i | −0.567005 | + | 0.982081i | ||||
\(953\) | −3.48680 | −0.112948 | −0.0564742 | − | 0.998404i | \(-0.517986\pi\) | ||||
−0.0564742 | + | 0.998404i | \(0.517986\pi\) | |||||||
\(954\) | 14.2496 | + | 24.6810i | 0.461348 | + | 0.799078i | ||||
\(955\) | 1.08122 | + | 1.87272i | 0.0349873 | + | 0.0605998i | ||||
\(956\) | 36.6323 | − | 63.4489i | 1.18477 | − | 2.05209i | ||||
\(957\) | 0.0754386 | 0.00243858 | ||||||||
\(958\) | −39.1064 | − | 67.7343i | −1.26347 | − | 2.18840i | ||||
\(959\) | 37.2664 | 1.20339 | ||||||||
\(960\) | 2.96435 | 0.0956741 | ||||||||
\(961\) | −30.2850 | − | 6.61959i | −0.976935 | − | 0.213535i | ||||
\(962\) | 13.2019 | 0.425646 | ||||||||
\(963\) | −0.0595222 | −0.00191807 | ||||||||
\(964\) | 18.5049 | + | 32.0514i | 0.596001 | + | 1.03230i | ||||
\(965\) | 1.81154 | 0.0583154 | ||||||||
\(966\) | −10.2803 | + | 17.8059i | −0.330762 | + | 0.572896i | ||||
\(967\) | 3.19039 | + | 5.52592i | 0.102596 | + | 0.177702i | 0.912754 | − | 0.408511i | \(-0.133952\pi\) |
−0.810157 | + | 0.586212i | \(0.800618\pi\) | |||||||
\(968\) | 19.7693 | + | 34.2413i | 0.635408 | + | 1.10056i | ||||
\(969\) | −31.2064 | −1.00249 | ||||||||
\(970\) | 1.08539 | − | 1.87996i | 0.0348499 | − | 0.0603618i | ||||
\(971\) | −12.2079 | + | 21.1447i | −0.391770 | + | 0.678566i | −0.992683 | − | 0.120748i | \(-0.961471\pi\) |
0.600913 | + | 0.799315i | \(0.294804\pi\) | |||||||
\(972\) | −35.2131 | + | 60.9909i | −1.12946 | + | 1.95629i | ||||
\(973\) | 42.4384 | + | 73.5055i | 1.36051 | + | 2.35648i | ||||
\(974\) | 26.7108 | − | 46.2645i | 0.855869 | − | 1.48241i | ||||
\(975\) | −6.72595 | − | 11.6497i | −0.215403 | − | 0.373088i | ||||
\(976\) | 16.4384 | 0.526180 | ||||||||
\(977\) | 38.9117 | 1.24490 | 0.622448 | − | 0.782661i | \(-0.286138\pi\) | ||||
0.622448 | + | 0.782661i | \(0.286138\pi\) | |||||||
\(978\) | 26.6272 | + | 46.1197i | 0.851445 | + | 1.47475i | ||||
\(979\) | −0.0116689 | + | 0.0202112i | −0.000372940 | + | 0.000645952i | ||||
\(980\) | −1.46663 | − | 2.54027i | −0.0468496 | − | 0.0811459i | ||||
\(981\) | −29.8877 | + | 51.7670i | −0.954240 | + | 1.65279i | ||||
\(982\) | −47.6384 | + | 82.5122i | −1.52020 | + | 2.63307i | ||||
\(983\) | 3.97304 | − | 6.88150i | 0.126720 | − | 0.219486i | −0.795684 | − | 0.605712i | \(-0.792888\pi\) |
0.922404 | + | 0.386226i | \(0.126222\pi\) | |||||||
\(984\) | −49.7728 | −1.58670 | ||||||||
\(985\) | −0.968004 | − | 1.67663i | −0.0308432 | − | 0.0534220i | ||||
\(986\) | −8.11454 | − | 14.0548i | −0.258419 | − | 0.447596i | ||||
\(987\) | 39.3881 | − | 68.2222i | 1.25374 | − | 2.17154i | ||||
\(988\) | 16.8199 | 0.535113 | ||||||||
\(989\) | −4.78214 | − | 8.28291i | −0.152063 | − | 0.263381i | ||||
\(990\) | −0.00906451 | −0.000288089 | ||||||||
\(991\) | −55.8077 | −1.77279 | −0.886395 | − | 0.462930i | \(-0.846798\pi\) | ||||
−0.886395 | + | 0.462930i | \(0.846798\pi\) | |||||||
\(992\) | 2.33813 | − | 21.6467i | 0.0742357 | − | 0.687283i | ||||
\(993\) | −16.1847 | −0.513604 | ||||||||
\(994\) | 20.6940 | 0.656375 | ||||||||
\(995\) | −0.337030 | − | 0.583753i | −0.0106846 | − | 0.0185062i | ||||
\(996\) | 80.8122 | 2.56063 | ||||||||
\(997\) | −16.9787 | + | 29.4080i | −0.537722 | + | 0.931361i | 0.461305 | + | 0.887242i | \(0.347382\pi\) |
−0.999026 | + | 0.0441194i | \(0.985952\pi\) | |||||||
\(998\) | 18.8408 | + | 32.6332i | 0.596395 | + | 1.03299i | ||||
\(999\) | 9.55224 | + | 16.5450i | 0.302219 | + | 0.523459i |
(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 | 403.2.h.b.118.15 | ✓ | 34 | |
31.5 | even | 3 | inner | 403.2.h.b.222.15 | yes | 34 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
403.2.h.b.118.15 | ✓ | 34 | 1.1 | even | 1 | trivial | |
403.2.h.b.222.15 | yes | 34 | 31.5 | even | 3 | inner |