Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [280,2,Mod(117,280)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(280, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([0, 6, 3, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("280.117");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 280 = 2^{3} \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 280.bv (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.23581125660\) |
Analytic rank: | \(0\) |
Dimension: | \(4\) |
Coefficient field: | \(\Q(\zeta_{12})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{4} - x^{2} + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 173.1 | ||
Root | \(0.866025 - 0.500000i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 280.173 |
Dual form | 280.2.bv.c.157.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/280\mathbb{Z}\right)^\times\).
\(n\) | \(57\) | \(71\) | \(141\) | \(241\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(1\) | \(-1\) | \(e\left(\frac{5}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.366025 | + | 1.36603i | −0.258819 | + | 0.965926i | ||||
\(3\) | −0.133975 | + | 0.500000i | −0.0773503 | + | 0.288675i | −0.993756 | − | 0.111576i | \(-0.964410\pi\) |
0.916406 | + | 0.400251i | \(0.131077\pi\) | |||||||
\(4\) | −1.73205 | − | 1.00000i | −0.866025 | − | 0.500000i | ||||
\(5\) | 1.86603 | − | 1.23205i | 0.834512 | − | 0.550990i | ||||
\(6\) | −0.633975 | − | 0.366025i | −0.258819 | − | 0.149429i | ||||
\(7\) | −0.866025 | + | 2.50000i | −0.327327 | + | 0.944911i | ||||
\(8\) | 2.00000 | − | 2.00000i | 0.707107 | − | 0.707107i | ||||
\(9\) | 2.36603 | + | 1.36603i | 0.788675 | + | 0.455342i | ||||
\(10\) | 1.00000 | + | 3.00000i | 0.316228 | + | 0.948683i | ||||
\(11\) | −2.36603 | + | 1.36603i | −0.713384 | + | 0.411872i | −0.812313 | − | 0.583222i | \(-0.801792\pi\) |
0.0989291 | + | 0.995094i | \(0.468458\pi\) | |||||||
\(12\) | 0.732051 | − | 0.732051i | 0.211325 | − | 0.211325i | ||||
\(13\) | 3.00000 | + | 3.00000i | 0.832050 | + | 0.832050i | 0.987797 | − | 0.155747i | \(-0.0497784\pi\) |
−0.155747 | + | 0.987797i | \(0.549778\pi\) | |||||||
\(14\) | −3.09808 | − | 2.09808i | −0.827996 | − | 0.560734i | ||||
\(15\) | 0.366025 | + | 1.09808i | 0.0945074 | + | 0.283522i | ||||
\(16\) | 2.00000 | + | 3.46410i | 0.500000 | + | 0.866025i | ||||
\(17\) | −1.09808 | + | 4.09808i | −0.266323 | + | 0.993929i | 0.695113 | + | 0.718900i | \(0.255354\pi\) |
−0.961436 | + | 0.275029i | \(0.911312\pi\) | |||||||
\(18\) | −2.73205 | + | 2.73205i | −0.643951 | + | 0.643951i | ||||
\(19\) | −3.00000 | − | 1.73205i | −0.688247 | − | 0.397360i | 0.114708 | − | 0.993399i | \(-0.463407\pi\) |
−0.802955 | + | 0.596040i | \(0.796740\pi\) | |||||||
\(20\) | −4.46410 | + | 0.267949i | −0.998203 | + | 0.0599153i | ||||
\(21\) | −1.13397 | − | 0.767949i | −0.247454 | − | 0.167580i | ||||
\(22\) | −1.00000 | − | 3.73205i | −0.213201 | − | 0.795676i | ||||
\(23\) | 5.59808 | − | 1.50000i | 1.16728 | − | 0.312772i | 0.377410 | − | 0.926046i | \(-0.376815\pi\) |
0.789870 | + | 0.613275i | \(0.210148\pi\) | |||||||
\(24\) | 0.732051 | + | 1.26795i | 0.149429 | + | 0.258819i | ||||
\(25\) | 1.96410 | − | 4.59808i | 0.392820 | − | 0.919615i | ||||
\(26\) | −5.19615 | + | 3.00000i | −1.01905 | + | 0.588348i | ||||
\(27\) | −2.09808 | + | 2.09808i | −0.403775 | + | 0.403775i | ||||
\(28\) | 4.00000 | − | 3.46410i | 0.755929 | − | 0.654654i | ||||
\(29\) | −2.46410 | −0.457572 | −0.228786 | − | 0.973477i | \(-0.573476\pi\) | ||||
−0.228786 | + | 0.973477i | \(0.573476\pi\) | |||||||
\(30\) | −1.63397 | + | 0.0980762i | −0.298322 | + | 0.0179062i | ||||
\(31\) | −0.169873 | + | 0.0980762i | −0.0305101 | + | 0.0176150i | −0.515177 | − | 0.857084i | \(-0.672274\pi\) |
0.484667 | + | 0.874699i | \(0.338941\pi\) | |||||||
\(32\) | −5.46410 | + | 1.46410i | −0.965926 | + | 0.258819i | ||||
\(33\) | −0.366025 | − | 1.36603i | −0.0637168 | − | 0.237795i | ||||
\(34\) | −5.19615 | − | 3.00000i | −0.891133 | − | 0.514496i | ||||
\(35\) | 1.46410 | + | 5.73205i | 0.247478 | + | 0.968893i | ||||
\(36\) | −2.73205 | − | 4.73205i | −0.455342 | − | 0.788675i | ||||
\(37\) | −1.73205 | + | 0.464102i | −0.284747 | + | 0.0762978i | −0.398366 | − | 0.917227i | \(-0.630423\pi\) |
0.113618 | + | 0.993524i | \(0.463756\pi\) | |||||||
\(38\) | 3.46410 | − | 3.46410i | 0.561951 | − | 0.561951i | ||||
\(39\) | −1.90192 | + | 1.09808i | −0.304552 | + | 0.175833i | ||||
\(40\) | 1.26795 | − | 6.19615i | 0.200480 | − | 0.979698i | ||||
\(41\) | − | 6.46410i | − | 1.00952i | −0.863259 | − | 0.504762i | \(-0.831580\pi\) | ||
0.863259 | − | 0.504762i | \(-0.168420\pi\) | |||||||
\(42\) | 1.46410 | − | 1.26795i | 0.225916 | − | 0.195649i | ||||
\(43\) | −0.633975 | + | 0.633975i | −0.0966802 | + | 0.0966802i | −0.753793 | − | 0.657112i | \(-0.771778\pi\) |
0.657112 | + | 0.753793i | \(0.271778\pi\) | |||||||
\(44\) | 5.46410 | 0.823744 | ||||||||
\(45\) | 6.09808 | − | 0.366025i | 0.909048 | − | 0.0545638i | ||||
\(46\) | 8.19615i | 1.20846i | ||||||||
\(47\) | 8.83013 | − | 2.36603i | 1.28801 | − | 0.345120i | 0.451103 | − | 0.892472i | \(-0.351031\pi\) |
0.836903 | + | 0.547351i | \(0.184364\pi\) | |||||||
\(48\) | −2.00000 | + | 0.535898i | −0.288675 | + | 0.0773503i | ||||
\(49\) | −5.50000 | − | 4.33013i | −0.785714 | − | 0.618590i | ||||
\(50\) | 5.56218 | + | 4.36603i | 0.786611 | + | 0.617449i | ||||
\(51\) | −1.90192 | − | 1.09808i | −0.266323 | − | 0.153761i | ||||
\(52\) | −2.19615 | − | 8.19615i | −0.304552 | − | 1.13660i | ||||
\(53\) | 11.1962 | + | 3.00000i | 1.53791 | + | 0.412082i | 0.925590 | − | 0.378528i | \(-0.123570\pi\) |
0.612320 | + | 0.790610i | \(0.290236\pi\) | |||||||
\(54\) | −2.09808 | − | 3.63397i | −0.285512 | − | 0.494521i | ||||
\(55\) | −2.73205 | + | 5.46410i | −0.368390 | + | 0.736779i | ||||
\(56\) | 3.26795 | + | 6.73205i | 0.436698 | + | 0.899608i | ||||
\(57\) | 1.26795 | − | 1.26795i | 0.167944 | − | 0.167944i | ||||
\(58\) | 0.901924 | − | 3.36603i | 0.118428 | − | 0.441981i | ||||
\(59\) | −4.26795 | + | 2.46410i | −0.555640 | + | 0.320799i | −0.751394 | − | 0.659854i | \(-0.770618\pi\) |
0.195754 | + | 0.980653i | \(0.437285\pi\) | |||||||
\(60\) | 0.464102 | − | 2.26795i | 0.0599153 | − | 0.292791i | ||||
\(61\) | 1.96410 | − | 3.40192i | 0.251477 | − | 0.435572i | −0.712455 | − | 0.701717i | \(-0.752417\pi\) |
0.963933 | + | 0.266146i | \(0.0857502\pi\) | |||||||
\(62\) | −0.0717968 | − | 0.267949i | −0.00911820 | − | 0.0340296i | ||||
\(63\) | −5.46410 | + | 4.73205i | −0.688412 | + | 0.596182i | ||||
\(64\) | − | 8.00000i | − | 1.00000i | ||||||
\(65\) | 9.29423 | + | 1.90192i | 1.15281 | + | 0.235905i | ||||
\(66\) | 2.00000 | 0.246183 | ||||||||
\(67\) | 2.13397 | − | 7.96410i | 0.260706 | − | 0.972970i | −0.704120 | − | 0.710081i | \(-0.748658\pi\) |
0.964826 | − | 0.262889i | \(-0.0846752\pi\) | |||||||
\(68\) | 6.00000 | − | 6.00000i | 0.727607 | − | 0.727607i | ||||
\(69\) | 3.00000i | 0.361158i | ||||||||
\(70\) | −8.36603 | − | 0.0980762i | −0.999931 | − | 0.0117223i | ||||
\(71\) | 8.53590 | 1.01302 | 0.506512 | − | 0.862233i | \(-0.330934\pi\) | ||||
0.506512 | + | 0.862233i | \(0.330934\pi\) | |||||||
\(72\) | 7.46410 | − | 2.00000i | 0.879653 | − | 0.235702i | ||||
\(73\) | −10.8301 | − | 2.90192i | −1.26757 | − | 0.339644i | −0.438471 | − | 0.898745i | \(-0.644480\pi\) |
−0.829100 | + | 0.559101i | \(0.811146\pi\) | |||||||
\(74\) | − | 2.53590i | − | 0.294792i | ||||||
\(75\) | 2.03590 | + | 1.59808i | 0.235085 | + | 0.184530i | ||||
\(76\) | 3.46410 | + | 6.00000i | 0.397360 | + | 0.688247i | ||||
\(77\) | −1.36603 | − | 7.09808i | −0.155673 | − | 0.808901i | ||||
\(78\) | −0.803848 | − | 3.00000i | −0.0910178 | − | 0.339683i | ||||
\(79\) | 0.803848 | + | 0.464102i | 0.0904399 | + | 0.0522155i | 0.544538 | − | 0.838736i | \(-0.316705\pi\) |
−0.454098 | + | 0.890952i | \(0.650038\pi\) | |||||||
\(80\) | 8.00000 | + | 4.00000i | 0.894427 | + | 0.447214i | ||||
\(81\) | 3.33013 | + | 5.76795i | 0.370014 | + | 0.640883i | ||||
\(82\) | 8.83013 | + | 2.36603i | 0.975124 | + | 0.261284i | ||||
\(83\) | −7.56218 | − | 7.56218i | −0.830057 | − | 0.830057i | 0.157467 | − | 0.987524i | \(-0.449667\pi\) |
−0.987524 | + | 0.157467i | \(0.949667\pi\) | |||||||
\(84\) | 1.19615 | + | 2.46410i | 0.130511 | + | 0.268856i | ||||
\(85\) | 3.00000 | + | 9.00000i | 0.325396 | + | 0.976187i | ||||
\(86\) | −0.633975 | − | 1.09808i | −0.0683632 | − | 0.118409i | ||||
\(87\) | 0.330127 | − | 1.23205i | 0.0353933 | − | 0.132090i | ||||
\(88\) | −2.00000 | + | 7.46410i | −0.213201 | + | 0.795676i | ||||
\(89\) | 3.40192 | − | 5.89230i | 0.360603 | − | 0.624583i | −0.627457 | − | 0.778651i | \(-0.715904\pi\) |
0.988060 | + | 0.154068i | \(0.0492375\pi\) | |||||||
\(90\) | −1.73205 | + | 8.46410i | −0.182574 | + | 0.892195i | ||||
\(91\) | −10.0981 | + | 4.90192i | −1.05857 | + | 0.513861i | ||||
\(92\) | −11.1962 | − | 3.00000i | −1.16728 | − | 0.312772i | ||||
\(93\) | −0.0262794 | − | 0.0980762i | −0.00272505 | − | 0.0101700i | ||||
\(94\) | 12.9282i | 1.33344i | ||||||||
\(95\) | −7.73205 | + | 0.464102i | −0.793292 | + | 0.0476158i | ||||
\(96\) | − | 2.92820i | − | 0.298858i | ||||||
\(97\) | −9.73205 | − | 9.73205i | −0.988140 | − | 0.988140i | 0.0117904 | − | 0.999930i | \(-0.496247\pi\) |
−0.999930 | + | 0.0117904i | \(0.996247\pi\) | |||||||
\(98\) | 7.92820 | − | 5.92820i | 0.800869 | − | 0.598839i | ||||
\(99\) | −7.46410 | −0.750170 | ||||||||
\(100\) | −8.00000 | + | 6.00000i | −0.800000 | + | 0.600000i | ||||
\(101\) | −7.06218 | − | 12.2321i | −0.702713 | − | 1.21713i | −0.967511 | − | 0.252831i | \(-0.918638\pi\) |
0.264798 | − | 0.964304i | \(-0.414695\pi\) | |||||||
\(102\) | 2.19615 | − | 2.19615i | 0.217451 | − | 0.217451i | ||||
\(103\) | −1.42820 | − | 5.33013i | −0.140725 | − | 0.525193i | −0.999909 | − | 0.0135254i | \(-0.995695\pi\) |
0.859183 | − | 0.511668i | \(-0.170972\pi\) | |||||||
\(104\) | 12.0000 | 1.17670 | ||||||||
\(105\) | −3.06218 | − | 0.0358984i | −0.298838 | − | 0.00350332i | ||||
\(106\) | −8.19615 | + | 14.1962i | −0.796081 | + | 1.37885i | ||||
\(107\) | 12.4282 | − | 3.33013i | 1.20148 | − | 0.321936i | 0.398066 | − | 0.917357i | \(-0.369681\pi\) |
0.803414 | + | 0.595421i | \(0.203015\pi\) | |||||||
\(108\) | 5.73205 | − | 1.53590i | 0.551567 | − | 0.147792i | ||||
\(109\) | −3.86603 | − | 6.69615i | −0.370298 | − | 0.641375i | 0.619313 | − | 0.785144i | \(-0.287411\pi\) |
−0.989611 | + | 0.143769i | \(0.954078\pi\) | |||||||
\(110\) | −6.46410 | − | 5.73205i | −0.616328 | − | 0.546530i | ||||
\(111\) | − | 0.928203i | − | 0.0881012i | ||||||
\(112\) | −10.3923 | + | 2.00000i | −0.981981 | + | 0.188982i | ||||
\(113\) | 9.46410 | + | 9.46410i | 0.890308 | + | 0.890308i | 0.994552 | − | 0.104244i | \(-0.0332423\pi\) |
−0.104244 | + | 0.994552i | \(0.533242\pi\) | |||||||
\(114\) | 1.26795 | + | 2.19615i | 0.118754 | + | 0.205689i | ||||
\(115\) | 8.59808 | − | 9.69615i | 0.801775 | − | 0.904171i | ||||
\(116\) | 4.26795 | + | 2.46410i | 0.396269 | + | 0.228786i | ||||
\(117\) | 3.00000 | + | 11.1962i | 0.277350 | + | 1.03508i | ||||
\(118\) | −1.80385 | − | 6.73205i | −0.166058 | − | 0.619736i | ||||
\(119\) | −9.29423 | − | 6.29423i | −0.852001 | − | 0.576991i | ||||
\(120\) | 2.92820 | + | 1.46410i | 0.267307 | + | 0.133654i | ||||
\(121\) | −1.76795 | + | 3.06218i | −0.160723 | + | 0.278380i | ||||
\(122\) | 3.92820 | + | 3.92820i | 0.355643 | + | 0.355643i | ||||
\(123\) | 3.23205 | + | 0.866025i | 0.291424 | + | 0.0780869i | ||||
\(124\) | 0.392305 | 0.0352300 | ||||||||
\(125\) | −2.00000 | − | 11.0000i | −0.178885 | − | 0.983870i | ||||
\(126\) | −4.46410 | − | 9.19615i | −0.397694 | − | 0.819258i | ||||
\(127\) | −11.0000 | + | 11.0000i | −0.976092 | + | 0.976092i | −0.999721 | − | 0.0236286i | \(-0.992478\pi\) |
0.0236286 | + | 0.999721i | \(0.492478\pi\) | |||||||
\(128\) | 10.9282 | + | 2.92820i | 0.965926 | + | 0.258819i | ||||
\(129\) | −0.232051 | − | 0.401924i | −0.0204309 | − | 0.0353874i | ||||
\(130\) | −6.00000 | + | 12.0000i | −0.526235 | + | 1.05247i | ||||
\(131\) | −0.267949 | + | 0.464102i | −0.0234108 | + | 0.0405487i | −0.877493 | − | 0.479589i | \(-0.840786\pi\) |
0.854083 | + | 0.520137i | \(0.174119\pi\) | |||||||
\(132\) | −0.732051 | + | 2.73205i | −0.0637168 | + | 0.237795i | ||||
\(133\) | 6.92820 | − | 6.00000i | 0.600751 | − | 0.520266i | ||||
\(134\) | 10.0981 | + | 5.83013i | 0.872341 | + | 0.503646i | ||||
\(135\) | −1.33013 | + | 6.50000i | −0.114479 | + | 0.559431i | ||||
\(136\) | 6.00000 | + | 10.3923i | 0.514496 | + | 0.891133i | ||||
\(137\) | −8.19615 | − | 2.19615i | −0.700245 | − | 0.187630i | −0.108904 | − | 0.994052i | \(-0.534734\pi\) |
−0.591340 | + | 0.806422i | \(0.701401\pi\) | |||||||
\(138\) | −4.09808 | − | 1.09808i | −0.348851 | − | 0.0934745i | ||||
\(139\) | 4.73205i | 0.401367i | 0.979656 | + | 0.200684i | \(0.0643163\pi\) | ||||
−0.979656 | + | 0.200684i | \(0.935684\pi\) | |||||||
\(140\) | 3.19615 | − | 11.3923i | 0.270124 | − | 0.962825i | ||||
\(141\) | 4.73205i | 0.398511i | ||||||||
\(142\) | −3.12436 | + | 11.6603i | −0.262190 | + | 0.978507i | ||||
\(143\) | −11.1962 | − | 3.00000i | −0.936269 | − | 0.250873i | ||||
\(144\) | 10.9282i | 0.910684i | ||||||||
\(145\) | −4.59808 | + | 3.03590i | −0.381849 | + | 0.252118i | ||||
\(146\) | 7.92820 | − | 13.7321i | 0.656143 | − | 1.13647i | ||||
\(147\) | 2.90192 | − | 2.16987i | 0.239347 | − | 0.178968i | ||||
\(148\) | 3.46410 | + | 0.928203i | 0.284747 | + | 0.0762978i | ||||
\(149\) | −2.66987 | + | 4.62436i | −0.218725 | + | 0.378842i | −0.954418 | − | 0.298472i | \(-0.903523\pi\) |
0.735694 | + | 0.677314i | \(0.236856\pi\) | |||||||
\(150\) | −2.92820 | + | 2.19615i | −0.239087 | + | 0.179315i | ||||
\(151\) | −12.0981 | − | 20.9545i | −0.984527 | − | 1.70525i | −0.644018 | − | 0.765011i | \(-0.722734\pi\) |
−0.340510 | − | 0.940241i | \(-0.610600\pi\) | |||||||
\(152\) | −9.46410 | + | 2.53590i | −0.767640 | + | 0.205689i | ||||
\(153\) | −8.19615 | + | 8.19615i | −0.662620 | + | 0.662620i | ||||
\(154\) | 10.1962 | + | 0.732051i | 0.821629 | + | 0.0589903i | ||||
\(155\) | −0.196152 | + | 0.392305i | −0.0157553 | + | 0.0315107i | ||||
\(156\) | 4.39230 | 0.351666 | ||||||||
\(157\) | −7.56218 | − | 2.02628i | −0.603527 | − | 0.161715i | −0.0558992 | − | 0.998436i | \(-0.517803\pi\) |
−0.547628 | + | 0.836722i | \(0.684469\pi\) | |||||||
\(158\) | −0.928203 | + | 0.928203i | −0.0738439 | + | 0.0738439i | ||||
\(159\) | −3.00000 | + | 5.19615i | −0.237915 | + | 0.412082i | ||||
\(160\) | −8.39230 | + | 9.46410i | −0.663470 | + | 0.748203i | ||||
\(161\) | −1.09808 | + | 15.2942i | −0.0865405 | + | 1.20535i | ||||
\(162\) | −9.09808 | + | 2.43782i | −0.714812 | + | 0.191533i | ||||
\(163\) | 5.36603 | + | 20.0263i | 0.420300 | + | 1.56858i | 0.773978 | + | 0.633212i | \(0.218264\pi\) |
−0.353679 | + | 0.935367i | \(0.615069\pi\) | |||||||
\(164\) | −6.46410 | + | 11.1962i | −0.504762 | + | 0.874273i | ||||
\(165\) | −2.36603 | − | 2.09808i | −0.184195 | − | 0.163335i | ||||
\(166\) | 13.0981 | − | 7.56218i | 1.01661 | − | 0.586939i | ||||
\(167\) | 12.2942 | + | 12.2942i | 0.951356 | + | 0.951356i | 0.998871 | − | 0.0475146i | \(-0.0151301\pi\) |
−0.0475146 | + | 0.998871i | \(0.515130\pi\) | |||||||
\(168\) | −3.80385 | + | 0.732051i | −0.293473 | + | 0.0564789i | ||||
\(169\) | 5.00000i | 0.384615i | ||||||||
\(170\) | −13.3923 | + | 0.803848i | −1.02714 | + | 0.0616523i | ||||
\(171\) | −4.73205 | − | 8.19615i | −0.361869 | − | 0.626775i | ||||
\(172\) | 1.73205 | − | 0.464102i | 0.132068 | − | 0.0353874i | ||||
\(173\) | −24.1244 | + | 6.46410i | −1.83414 | + | 0.491457i | −0.998341 | − | 0.0575778i | \(-0.981662\pi\) |
−0.835800 | + | 0.549034i | \(0.814996\pi\) | |||||||
\(174\) | 1.56218 | + | 0.901924i | 0.118428 | + | 0.0683747i | ||||
\(175\) | 9.79423 | + | 8.89230i | 0.740374 | + | 0.672195i | ||||
\(176\) | −9.46410 | − | 5.46410i | −0.713384 | − | 0.411872i | ||||
\(177\) | −0.660254 | − | 2.46410i | −0.0496277 | − | 0.185213i | ||||
\(178\) | 6.80385 | + | 6.80385i | 0.509970 | + | 0.509970i | ||||
\(179\) | 12.0263 | + | 20.8301i | 0.898886 | + | 1.55692i | 0.828920 | + | 0.559367i | \(0.188956\pi\) |
0.0699665 | + | 0.997549i | \(0.477711\pi\) | |||||||
\(180\) | −10.9282 | − | 5.46410i | −0.814540 | − | 0.407270i | ||||
\(181\) | 22.5167 | 1.67365 | 0.836825 | − | 0.547470i | \(-0.184409\pi\) | ||||
0.836825 | + | 0.547470i | \(0.184409\pi\) | |||||||
\(182\) | −3.00000 | − | 15.5885i | −0.222375 | − | 1.15549i | ||||
\(183\) | 1.43782 | + | 1.43782i | 0.106287 | + | 0.106287i | ||||
\(184\) | 8.19615 | − | 14.1962i | 0.604228 | − | 1.04655i | ||||
\(185\) | −2.66025 | + | 3.00000i | −0.195586 | + | 0.220564i | ||||
\(186\) | 0.143594 | 0.0105288 | ||||||||
\(187\) | −3.00000 | − | 11.1962i | −0.219382 | − | 0.818744i | ||||
\(188\) | −17.6603 | − | 4.73205i | −1.28801 | − | 0.345120i | ||||
\(189\) | −3.42820 | − | 7.06218i | −0.249365 | − | 0.513698i | ||||
\(190\) | 2.19615 | − | 10.7321i | 0.159326 | − | 0.778585i | ||||
\(191\) | 10.5622 | − | 18.2942i | 0.764252 | − | 1.32372i | −0.176389 | − | 0.984321i | \(-0.556442\pi\) |
0.940641 | − | 0.339403i | \(-0.110225\pi\) | |||||||
\(192\) | 4.00000 | + | 1.07180i | 0.288675 | + | 0.0773503i | ||||
\(193\) | 0.562178 | − | 2.09808i | 0.0404664 | − | 0.151023i | −0.942737 | − | 0.333538i | \(-0.891757\pi\) |
0.983203 | + | 0.182516i | \(0.0584240\pi\) | |||||||
\(194\) | 16.8564 | − | 9.73205i | 1.21022 | − | 0.698721i | ||||
\(195\) | −2.19615 | + | 4.39230i | −0.157270 | + | 0.314539i | ||||
\(196\) | 5.19615 | + | 13.0000i | 0.371154 | + | 0.928571i | ||||
\(197\) | 12.4641 | + | 12.4641i | 0.888030 | + | 0.888030i | 0.994334 | − | 0.106303i | \(-0.0339014\pi\) |
−0.106303 | + | 0.994334i | \(0.533901\pi\) | |||||||
\(198\) | 2.73205 | − | 10.1962i | 0.194158 | − | 0.724609i | ||||
\(199\) | −1.73205 | − | 3.00000i | −0.122782 | − | 0.212664i | 0.798082 | − | 0.602549i | \(-0.205848\pi\) |
−0.920864 | + | 0.389885i | \(0.872515\pi\) | |||||||
\(200\) | −5.26795 | − | 13.1244i | −0.372500 | − | 0.928032i | ||||
\(201\) | 3.69615 | + | 2.13397i | 0.260706 | + | 0.150519i | ||||
\(202\) | 19.2942 | − | 5.16987i | 1.35754 | − | 0.363751i | ||||
\(203\) | 2.13397 | − | 6.16025i | 0.149776 | − | 0.432365i | ||||
\(204\) | 2.19615 | + | 3.80385i | 0.153761 | + | 0.266323i | ||||
\(205\) | −7.96410 | − | 12.0622i | −0.556237 | − | 0.842459i | ||||
\(206\) | 7.80385 | 0.543720 | ||||||||
\(207\) | 15.2942 | + | 4.09808i | 1.06302 | + | 0.284836i | ||||
\(208\) | −4.39230 | + | 16.3923i | −0.304552 | + | 1.13660i | ||||
\(209\) | 9.46410 | 0.654646 | ||||||||
\(210\) | 1.16987 | − | 4.16987i | 0.0807289 | − | 0.287749i | ||||
\(211\) | − | 27.4641i | − | 1.89071i | −0.326048 | − | 0.945353i | \(-0.605717\pi\) | ||
0.326048 | − | 0.945353i | \(-0.394283\pi\) | |||||||
\(212\) | −16.3923 | − | 16.3923i | −1.12583 | − | 1.12583i | ||||
\(213\) | −1.14359 | + | 4.26795i | −0.0783577 | + | 0.292435i | ||||
\(214\) | 18.1962i | 1.24386i | ||||||||
\(215\) | −0.401924 | + | 1.96410i | −0.0274110 | + | 0.133951i | ||||
\(216\) | 8.39230i | 0.571024i | ||||||||
\(217\) | −0.0980762 | − | 0.509619i | −0.00665785 | − | 0.0345952i | ||||
\(218\) | 10.5622 | − | 2.83013i | 0.715361 | − | 0.191680i | ||||
\(219\) | 2.90192 | − | 5.02628i | 0.196094 | − | 0.339644i | ||||
\(220\) | 10.1962 | − | 6.73205i | 0.687424 | − | 0.453875i | ||||
\(221\) | −15.5885 | + | 9.00000i | −1.04859 | + | 0.605406i | ||||
\(222\) | 1.26795 | + | 0.339746i | 0.0850992 | + | 0.0228023i | ||||
\(223\) | 5.92820 | − | 5.92820i | 0.396982 | − | 0.396982i | −0.480185 | − | 0.877167i | \(-0.659431\pi\) |
0.877167 | + | 0.480185i | \(0.159431\pi\) | |||||||
\(224\) | 1.07180 | − | 14.9282i | 0.0716124 | − | 0.997433i | ||||
\(225\) | 10.9282 | − | 8.19615i | 0.728547 | − | 0.546410i | ||||
\(226\) | −16.3923 | + | 9.46410i | −1.09040 | + | 0.629543i | ||||
\(227\) | 15.5622 | + | 4.16987i | 1.03290 | + | 0.276764i | 0.735167 | − | 0.677886i | \(-0.237104\pi\) |
0.297731 | + | 0.954650i | \(0.403770\pi\) | |||||||
\(228\) | −3.46410 | + | 0.928203i | −0.229416 | + | 0.0614718i | ||||
\(229\) | 7.39230 | + | 4.26795i | 0.488497 | + | 0.282034i | 0.723951 | − | 0.689852i | \(-0.242324\pi\) |
−0.235454 | + | 0.971886i | \(0.575658\pi\) | |||||||
\(230\) | 10.0981 | + | 15.2942i | 0.665847 | + | 1.00847i | ||||
\(231\) | 3.73205 | + | 0.267949i | 0.245551 | + | 0.0176298i | ||||
\(232\) | −4.92820 | + | 4.92820i | −0.323552 | + | 0.323552i | ||||
\(233\) | −7.09808 | + | 1.90192i | −0.465010 | + | 0.124599i | −0.483714 | − | 0.875226i | \(-0.660713\pi\) |
0.0187040 | + | 0.999825i | \(0.494046\pi\) | |||||||
\(234\) | −16.3923 | −1.07160 | ||||||||
\(235\) | 13.5622 | − | 15.2942i | 0.884699 | − | 0.997685i | ||||
\(236\) | 9.85641 | 0.641597 | ||||||||
\(237\) | −0.339746 | + | 0.339746i | −0.0220689 | + | 0.0220689i | ||||
\(238\) | 12.0000 | − | 10.3923i | 0.777844 | − | 0.673633i | ||||
\(239\) | − | 1.26795i | − | 0.0820168i | −0.999159 | − | 0.0410084i | \(-0.986943\pi\) | ||
0.999159 | − | 0.0410084i | \(-0.0130570\pi\) | |||||||
\(240\) | −3.07180 | + | 3.46410i | −0.198284 | + | 0.223607i | ||||
\(241\) | −0.339746 | + | 0.196152i | −0.0218850 | + | 0.0126353i | −0.510903 | − | 0.859639i | \(-0.670689\pi\) |
0.489018 | + | 0.872274i | \(0.337355\pi\) | |||||||
\(242\) | −3.53590 | − | 3.53590i | −0.227296 | − | 0.227296i | ||||
\(243\) | −11.9282 | + | 3.19615i | −0.765195 | + | 0.205033i | ||||
\(244\) | −6.80385 | + | 3.92820i | −0.435572 | + | 0.251477i | ||||
\(245\) | −15.5981 | − | 1.30385i | −0.996525 | − | 0.0832998i | ||||
\(246\) | −2.36603 | + | 4.09808i | −0.150852 | + | 0.261284i | ||||
\(247\) | −3.80385 | − | 14.1962i | −0.242033 | − | 0.903280i | ||||
\(248\) | −0.143594 | + | 0.535898i | −0.00911820 | + | 0.0340296i | ||||
\(249\) | 4.79423 | − | 2.76795i | 0.303822 | − | 0.175412i | ||||
\(250\) | 15.7583 | + | 1.29423i | 0.996644 | + | 0.0818542i | ||||
\(251\) | 2.33975 | 0.147683 | 0.0738417 | − | 0.997270i | \(-0.476474\pi\) | ||||
0.0738417 | + | 0.997270i | \(0.476474\pi\) | |||||||
\(252\) | 14.1962 | − | 2.73205i | 0.894274 | − | 0.172103i | ||||
\(253\) | −11.1962 | + | 11.1962i | −0.703896 | + | 0.703896i | ||||
\(254\) | −11.0000 | − | 19.0526i | −0.690201 | − | 1.19546i | ||||
\(255\) | −4.90192 | + | 0.294229i | −0.306970 | + | 0.0184253i | ||||
\(256\) | −8.00000 | + | 13.8564i | −0.500000 | + | 0.866025i | ||||
\(257\) | −6.92820 | + | 1.85641i | −0.432169 | + | 0.115799i | −0.468344 | − | 0.883546i | \(-0.655149\pi\) |
0.0361749 | + | 0.999345i | \(0.488483\pi\) | |||||||
\(258\) | 0.633975 | − | 0.169873i | 0.0394695 | − | 0.0105758i | ||||
\(259\) | 0.339746 | − | 4.73205i | 0.0211108 | − | 0.294035i | ||||
\(260\) | −14.1962 | − | 12.5885i | −0.880408 | − | 0.780703i | ||||
\(261\) | −5.83013 | − | 3.36603i | −0.360876 | − | 0.208352i | ||||
\(262\) | −0.535898 | − | 0.535898i | −0.0331079 | − | 0.0331079i | ||||
\(263\) | 5.59808 | − | 20.8923i | 0.345192 | − | 1.28827i | −0.547195 | − | 0.837005i | \(-0.684305\pi\) |
0.892388 | − | 0.451270i | \(-0.149029\pi\) | |||||||
\(264\) | −3.46410 | − | 2.00000i | −0.213201 | − | 0.123091i | ||||
\(265\) | 24.5885 | − | 8.19615i | 1.51046 | − | 0.503486i | ||||
\(266\) | 5.66025 | + | 11.6603i | 0.347052 | + | 0.714936i | ||||
\(267\) | 2.49038 | + | 2.49038i | 0.152409 | + | 0.152409i | ||||
\(268\) | −11.6603 | + | 11.6603i | −0.712263 | + | 0.712263i | ||||
\(269\) | −9.06218 | + | 5.23205i | −0.552531 | + | 0.319004i | −0.750142 | − | 0.661277i | \(-0.770015\pi\) |
0.197611 | + | 0.980280i | \(0.436682\pi\) | |||||||
\(270\) | −8.39230 | − | 4.19615i | −0.510739 | − | 0.255370i | ||||
\(271\) | −10.3923 | − | 6.00000i | −0.631288 | − | 0.364474i | 0.149963 | − | 0.988692i | \(-0.452085\pi\) |
−0.781251 | + | 0.624218i | \(0.785418\pi\) | |||||||
\(272\) | −16.3923 | + | 4.39230i | −0.993929 | + | 0.266323i | ||||
\(273\) | −1.09808 | − | 5.70577i | −0.0664586 | − | 0.345329i | ||||
\(274\) | 6.00000 | − | 10.3923i | 0.362473 | − | 0.627822i | ||||
\(275\) | 1.63397 | + | 13.5622i | 0.0985324 | + | 0.817830i | ||||
\(276\) | 3.00000 | − | 5.19615i | 0.180579 | − | 0.312772i | ||||
\(277\) | −3.75833 | + | 14.0263i | −0.225816 | + | 0.842757i | 0.756260 | + | 0.654272i | \(0.227025\pi\) |
−0.982076 | + | 0.188486i | \(0.939642\pi\) | |||||||
\(278\) | −6.46410 | − | 1.73205i | −0.387691 | − | 0.103882i | ||||
\(279\) | −0.535898 | −0.0320834 | ||||||||
\(280\) | 14.3923 | + | 8.53590i | 0.860105 | + | 0.510117i | ||||
\(281\) | 24.2487 | 1.44656 | 0.723278 | − | 0.690557i | \(-0.242634\pi\) | ||||
0.723278 | + | 0.690557i | \(0.242634\pi\) | |||||||
\(282\) | −6.46410 | − | 1.73205i | −0.384932 | − | 0.103142i | ||||
\(283\) | −1.43782 | + | 5.36603i | −0.0854697 | + | 0.318977i | −0.995403 | − | 0.0957780i | \(-0.969466\pi\) |
0.909933 | + | 0.414755i | \(0.136133\pi\) | |||||||
\(284\) | −14.7846 | − | 8.53590i | −0.877305 | − | 0.506512i | ||||
\(285\) | 0.803848 | − | 3.92820i | 0.0476158 | − | 0.232687i | ||||
\(286\) | 8.19615 | − | 14.1962i | 0.484649 | − | 0.839436i | ||||
\(287\) | 16.1603 | + | 5.59808i | 0.953910 | + | 0.330444i | ||||
\(288\) | −14.9282 | − | 4.00000i | −0.879653 | − | 0.235702i | ||||
\(289\) | −0.866025 | − | 0.500000i | −0.0509427 | − | 0.0294118i | ||||
\(290\) | −2.46410 | − | 7.39230i | −0.144697 | − | 0.434091i | ||||
\(291\) | 6.16987 | − | 3.56218i | 0.361684 | − | 0.208819i | ||||
\(292\) | 15.8564 | + | 15.8564i | 0.927926 | + | 0.927926i | ||||
\(293\) | 6.19615 | + | 6.19615i | 0.361983 | + | 0.361983i | 0.864543 | − | 0.502560i | \(-0.167608\pi\) |
−0.502560 | + | 0.864543i | \(0.667608\pi\) | |||||||
\(294\) | 1.90192 | + | 4.75833i | 0.110922 | + | 0.277511i | ||||
\(295\) | −4.92820 | + | 9.85641i | −0.286931 | + | 0.573862i | ||||
\(296\) | −2.53590 | + | 4.39230i | −0.147396 | + | 0.255298i | ||||
\(297\) | 2.09808 | − | 7.83013i | 0.121743 | − | 0.454350i | ||||
\(298\) | −5.33975 | − | 5.33975i | −0.309323 | − | 0.309323i | ||||
\(299\) | 21.2942 | + | 12.2942i | 1.23148 | + | 0.710994i | ||||
\(300\) | −1.92820 | − | 4.80385i | −0.111325 | − | 0.277350i | ||||
\(301\) | −1.03590 | − | 2.13397i | −0.0597082 | − | 0.123000i | ||||
\(302\) | 33.0526 | − | 8.85641i | 1.90196 | − | 0.509629i | ||||
\(303\) | 7.06218 | − | 1.89230i | 0.405712 | − | 0.108710i | ||||
\(304\) | − | 13.8564i | − | 0.794719i | ||||||
\(305\) | −0.526279 | − | 8.76795i | −0.0301347 | − | 0.502051i | ||||
\(306\) | −8.19615 | − | 14.1962i | −0.468543 | − | 0.811540i | ||||
\(307\) | −21.7583 | + | 21.7583i | −1.24181 | + | 1.24181i | −0.282565 | + | 0.959248i | \(0.591185\pi\) |
−0.959248 | + | 0.282565i | \(0.908815\pi\) | |||||||
\(308\) | −4.73205 | + | 13.6603i | −0.269634 | + | 0.778365i | ||||
\(309\) | 2.85641 | 0.162495 | ||||||||
\(310\) | −0.464102 | − | 0.411543i | −0.0263592 | − | 0.0233741i | ||||
\(311\) | −9.58846 | + | 5.53590i | −0.543712 | + | 0.313912i | −0.746582 | − | 0.665294i | \(-0.768306\pi\) |
0.202870 | + | 0.979206i | \(0.434973\pi\) | |||||||
\(312\) | −1.60770 | + | 6.00000i | −0.0910178 | + | 0.339683i | ||||
\(313\) | 8.12436 | + | 30.3205i | 0.459216 | + | 1.71382i | 0.675389 | + | 0.737461i | \(0.263976\pi\) |
−0.216173 | + | 0.976355i | \(0.569358\pi\) | |||||||
\(314\) | 5.53590 | − | 9.58846i | 0.312409 | − | 0.541108i | ||||
\(315\) | −4.36603 | + | 15.5622i | −0.245998 | + | 0.876829i | ||||
\(316\) | −0.928203 | − | 1.60770i | −0.0522155 | − | 0.0904399i | ||||
\(317\) | −9.83013 | + | 2.63397i | −0.552115 | + | 0.147939i | −0.524081 | − | 0.851668i | \(-0.675591\pi\) |
−0.0280336 | + | 0.999607i | \(0.508925\pi\) | |||||||
\(318\) | −6.00000 | − | 6.00000i | −0.336463 | − | 0.336463i | ||||
\(319\) | 5.83013 | − | 3.36603i | 0.326424 | − | 0.188461i | ||||
\(320\) | −9.85641 | − | 14.9282i | −0.550990 | − | 0.834512i | ||||
\(321\) | 6.66025i | 0.371739i | ||||||||
\(322\) | −20.4904 | − | 7.09808i | −1.14188 | − | 0.395560i | ||||
\(323\) | 10.3923 | − | 10.3923i | 0.578243 | − | 0.578243i | ||||
\(324\) | − | 13.3205i | − | 0.740028i | ||||||
\(325\) | 19.6865 | − | 7.90192i | 1.09201 | − | 0.438320i | ||||
\(326\) | −29.3205 | −1.62391 | ||||||||
\(327\) | 3.86603 | − | 1.03590i | 0.213792 | − | 0.0572853i | ||||
\(328\) | −12.9282 | − | 12.9282i | −0.713841 | − | 0.713841i | ||||
\(329\) | −1.73205 | + | 24.1244i | −0.0954911 | + | 1.33002i | ||||
\(330\) | 3.73205 | − | 2.46410i | 0.205443 | − | 0.135644i | ||||
\(331\) | 9.29423 | + | 5.36603i | 0.510857 | + | 0.294943i | 0.733186 | − | 0.680028i | \(-0.238033\pi\) |
−0.222329 | + | 0.974972i | \(0.571366\pi\) | |||||||
\(332\) | 5.53590 | + | 20.6603i | 0.303822 | + | 1.13388i | ||||
\(333\) | −4.73205 | − | 1.26795i | −0.259315 | − | 0.0694832i | ||||
\(334\) | −21.2942 | + | 12.2942i | −1.16517 | + | 0.672710i | ||||
\(335\) | −5.83013 | − | 17.4904i | −0.318534 | − | 0.955602i | ||||
\(336\) | 0.392305 | − | 5.46410i | 0.0214020 | − | 0.298091i | ||||
\(337\) | −2.33975 | + | 2.33975i | −0.127454 | + | 0.127454i | −0.767956 | − | 0.640502i | \(-0.778726\pi\) |
0.640502 | + | 0.767956i | \(0.278726\pi\) | |||||||
\(338\) | −6.83013 | − | 1.83013i | −0.371510 | − | 0.0995458i | ||||
\(339\) | −6.00000 | + | 3.46410i | −0.325875 | + | 0.188144i | ||||
\(340\) | 3.80385 | − | 18.5885i | 0.206293 | − | 1.00810i | ||||
\(341\) | 0.267949 | − | 0.464102i | 0.0145103 | − | 0.0251325i | ||||
\(342\) | 12.9282 | − | 3.46410i | 0.699077 | − | 0.187317i | ||||
\(343\) | 15.5885 | − | 10.0000i | 0.841698 | − | 0.539949i | ||||
\(344\) | 2.53590i | 0.136726i | ||||||||
\(345\) | 3.69615 | + | 5.59808i | 0.198994 | + | 0.301390i | ||||
\(346\) | − | 35.3205i | − | 1.89884i | ||||||
\(347\) | 4.91858 | − | 18.3564i | 0.264043 | − | 0.985424i | −0.698790 | − | 0.715327i | \(-0.746278\pi\) |
0.962833 | − | 0.270096i | \(-0.0870556\pi\) | |||||||
\(348\) | −1.80385 | + | 1.80385i | −0.0966964 | + | 0.0966964i | ||||
\(349\) | − | 31.9808i | − | 1.71189i | −0.517066 | − | 0.855945i | \(-0.672976\pi\) | ||
0.517066 | − | 0.855945i | \(-0.327024\pi\) | |||||||
\(350\) | −15.7321 | + | 10.1244i | −0.840913 | + | 0.541170i | ||||
\(351\) | −12.5885 | −0.671922 | ||||||||
\(352\) | 10.9282 | − | 10.9282i | 0.582475 | − | 0.582475i | ||||
\(353\) | −17.1962 | − | 4.60770i | −0.915259 | − | 0.245243i | −0.229701 | − | 0.973261i | \(-0.573775\pi\) |
−0.685558 | + | 0.728018i | \(0.740442\pi\) | |||||||
\(354\) | 3.60770 | 0.191747 | ||||||||
\(355\) | 15.9282 | − | 10.5167i | 0.845381 | − | 0.558166i | ||||
\(356\) | −11.7846 | + | 6.80385i | −0.624583 | + | 0.360603i | ||||
\(357\) | 4.39230 | − | 3.80385i | 0.232465 | − | 0.201321i | ||||
\(358\) | −32.8564 | + | 8.80385i | −1.73652 | + | 0.465298i | ||||
\(359\) | 1.09808 | + | 0.633975i | 0.0579542 | + | 0.0334599i | 0.528697 | − | 0.848811i | \(-0.322681\pi\) |
−0.470743 | + | 0.882270i | \(0.656014\pi\) | |||||||
\(360\) | 11.4641 | − | 12.9282i | 0.604211 | − | 0.681376i | ||||
\(361\) | −3.50000 | − | 6.06218i | −0.184211 | − | 0.319062i | ||||
\(362\) | −8.24167 | + | 30.7583i | −0.433173 | + | 1.61662i | ||||
\(363\) | −1.29423 | − | 1.29423i | −0.0679294 | − | 0.0679294i | ||||
\(364\) | 22.3923 | + | 1.60770i | 1.17368 | + | 0.0842661i | ||||
\(365\) | −23.7846 | + | 7.92820i | −1.24494 | + | 0.414981i | ||||
\(366\) | −2.49038 | + | 1.43782i | −0.130174 | + | 0.0751562i | ||||
\(367\) | −4.06218 | + | 15.1603i | −0.212044 | + | 0.791359i | 0.775142 | + | 0.631787i | \(0.217678\pi\) |
−0.987186 | + | 0.159572i | \(0.948989\pi\) | |||||||
\(368\) | 16.3923 | + | 16.3923i | 0.854508 | + | 0.854508i | ||||
\(369\) | 8.83013 | − | 15.2942i | 0.459678 | − | 0.796186i | ||||
\(370\) | −3.12436 | − | 4.73205i | −0.162428 | − | 0.246008i | ||||
\(371\) | −17.1962 | + | 25.3923i | −0.892780 | + | 1.31830i | ||||
\(372\) | −0.0525589 | + | 0.196152i | −0.00272505 | + | 0.0101700i | ||||
\(373\) | 2.53590 | + | 9.46410i | 0.131304 | + | 0.490033i | 0.999986 | − | 0.00533769i | \(-0.00169905\pi\) |
−0.868682 | + | 0.495370i | \(0.835032\pi\) | |||||||
\(374\) | 16.3923 | 0.847626 | ||||||||
\(375\) | 5.76795 | + | 0.473721i | 0.297856 | + | 0.0244628i | ||||
\(376\) | 12.9282 | − | 22.3923i | 0.666721 | − | 1.15479i | ||||
\(377\) | −7.39230 | − | 7.39230i | −0.380723 | − | 0.380723i | ||||
\(378\) | 10.9019 | − | 2.09808i | 0.560734 | − | 0.107913i | ||||
\(379\) | −18.2487 | −0.937373 | −0.468687 | − | 0.883364i | \(-0.655273\pi\) | ||||
−0.468687 | + | 0.883364i | \(0.655273\pi\) | |||||||
\(380\) | 13.8564 | + | 6.92820i | 0.710819 | + | 0.355409i | ||||
\(381\) | −4.02628 | − | 6.97372i | −0.206273 | − | 0.357275i | ||||
\(382\) | 21.1244 | + | 21.1244i | 1.08082 | + | 1.08082i | ||||
\(383\) | 1.33013 | + | 4.96410i | 0.0679663 | + | 0.253654i | 0.991547 | − | 0.129751i | \(-0.0414179\pi\) |
−0.923580 | + | 0.383405i | \(0.874751\pi\) | |||||||
\(384\) | −2.92820 | + | 5.07180i | −0.149429 | + | 0.258819i | ||||
\(385\) | −11.2942 | − | 11.5622i | −0.575607 | − | 0.589263i | ||||
\(386\) | 2.66025 | + | 1.53590i | 0.135403 | + | 0.0781752i | ||||
\(387\) | −2.36603 | + | 0.633975i | −0.120272 | + | 0.0322267i | ||||
\(388\) | 7.12436 | + | 26.5885i | 0.361684 | + | 1.34982i | ||||
\(389\) | 14.4641 | + | 25.0526i | 0.733359 | + | 1.27022i | 0.955440 | + | 0.295187i | \(0.0953819\pi\) |
−0.222080 | + | 0.975028i | \(0.571285\pi\) | |||||||
\(390\) | −5.19615 | − | 4.60770i | −0.263117 | − | 0.233320i | ||||
\(391\) | 24.5885i | 1.24349i | ||||||||
\(392\) | −19.6603 | + | 2.33975i | −0.992993 | + | 0.118175i | ||||
\(393\) | −0.196152 | − | 0.196152i | −0.00989458 | − | 0.00989458i | ||||
\(394\) | −21.5885 | + | 12.4641i | −1.08761 | + | 0.627932i | ||||
\(395\) | 2.07180 | − | 0.124356i | 0.104243 | − | 0.00625701i | ||||
\(396\) | 12.9282 | + | 7.46410i | 0.649667 | + | 0.375085i | ||||
\(397\) | −0.758330 | − | 2.83013i | −0.0380595 | − | 0.142040i | 0.944282 | − | 0.329139i | \(-0.106758\pi\) |
−0.982341 | + | 0.187099i | \(0.940092\pi\) | |||||||
\(398\) | 4.73205 | − | 1.26795i | 0.237196 | − | 0.0635566i | ||||
\(399\) | 2.07180 | + | 4.26795i | 0.103720 | + | 0.213665i | ||||
\(400\) | 19.8564 | − | 2.39230i | 0.992820 | − | 0.119615i | ||||
\(401\) | −12.3564 | + | 21.4019i | −0.617049 | + | 1.06876i | 0.372972 | + | 0.927843i | \(0.378339\pi\) |
−0.990021 | + | 0.140918i | \(0.954994\pi\) | |||||||
\(402\) | −4.26795 | + | 4.26795i | −0.212866 | + | 0.212866i | ||||
\(403\) | −0.803848 | − | 0.215390i | −0.0400425 | − | 0.0107294i | ||||
\(404\) | 28.2487i | 1.40543i | ||||||||
\(405\) | 13.3205 | + | 6.66025i | 0.661901 | + | 0.330951i | ||||
\(406\) | 7.63397 | + | 5.16987i | 0.378868 | + | 0.256576i | ||||
\(407\) | 3.46410 | − | 3.46410i | 0.171709 | − | 0.171709i | ||||
\(408\) | −6.00000 | + | 1.60770i | −0.297044 | + | 0.0795928i | ||||
\(409\) | 4.69615 | + | 8.13397i | 0.232210 | + | 0.402199i | 0.958458 | − | 0.285233i | \(-0.0920711\pi\) |
−0.726248 | + | 0.687432i | \(0.758738\pi\) | |||||||
\(410\) | 19.3923 | − | 6.46410i | 0.957718 | − | 0.319239i | ||||
\(411\) | 2.19615 | − | 3.80385i | 0.108328 | − | 0.187630i | ||||
\(412\) | −2.85641 | + | 10.6603i | −0.140725 | + | 0.525193i | ||||
\(413\) | −2.46410 | − | 12.8038i | −0.121251 | − | 0.630036i | ||||
\(414\) | −11.1962 | + | 19.3923i | −0.550261 | + | 0.953080i | ||||
\(415\) | −23.4282 | − | 4.79423i | −1.15005 | − | 0.235339i | ||||
\(416\) | −20.7846 | − | 12.0000i | −1.01905 | − | 0.588348i | ||||
\(417\) | −2.36603 | − | 0.633975i | −0.115865 | − | 0.0310459i | ||||
\(418\) | −3.46410 | + | 12.9282i | −0.169435 | + | 0.632339i | ||||
\(419\) | − | 18.3923i | − | 0.898523i | −0.893400 | − | 0.449261i | \(-0.851687\pi\) | ||
0.893400 | − | 0.449261i | \(-0.148313\pi\) | |||||||
\(420\) | 5.26795 | + | 3.12436i | 0.257050 | + | 0.152453i | ||||
\(421\) | 5.87564i | 0.286361i | 0.989697 | + | 0.143181i | \(0.0457330\pi\) | ||||
−0.989697 | + | 0.143181i | \(0.954267\pi\) | |||||||
\(422\) | 37.5167 | + | 10.0526i | 1.82628 | + | 0.489351i | ||||
\(423\) | 24.1244 | + | 6.46410i | 1.17297 | + | 0.314295i | ||||
\(424\) | 28.3923 | − | 16.3923i | 1.37885 | − | 0.796081i | ||||
\(425\) | 16.6865 | + | 13.0981i | 0.809416 | + | 0.635350i | ||||
\(426\) | −5.41154 | − | 3.12436i | −0.262190 | − | 0.151376i | ||||
\(427\) | 6.80385 | + | 7.85641i | 0.329261 | + | 0.380198i | ||||
\(428\) | −24.8564 | − | 6.66025i | −1.20148 | − | 0.321936i | ||||
\(429\) | 3.00000 | − | 5.19615i | 0.144841 | − | 0.250873i | ||||
\(430\) | −2.53590 | − | 1.26795i | −0.122292 | − | 0.0611459i | ||||
\(431\) | 8.36603 | + | 14.4904i | 0.402977 | + | 0.697977i | 0.994084 | − | 0.108616i | \(-0.0346420\pi\) |
−0.591106 | + | 0.806594i | \(0.701309\pi\) | |||||||
\(432\) | −11.4641 | − | 3.07180i | −0.551567 | − | 0.147792i | ||||
\(433\) | 4.53590 | − | 4.53590i | 0.217981 | − | 0.217981i | −0.589666 | − | 0.807647i | \(-0.700741\pi\) |
0.807647 | + | 0.589666i | \(0.200741\pi\) | |||||||
\(434\) | 0.732051 | + | 0.0525589i | 0.0351396 | + | 0.00252291i | ||||
\(435\) | −0.901924 | − | 2.70577i | −0.0432439 | − | 0.129732i | ||||
\(436\) | 15.4641i | 0.740596i | ||||||||
\(437\) | −19.3923 | − | 5.19615i | −0.927660 | − | 0.248566i | ||||
\(438\) | 5.80385 | + | 5.80385i | 0.277319 | + | 0.277319i | ||||
\(439\) | −14.6603 | + | 25.3923i | −0.699696 | + | 1.21191i | 0.268876 | + | 0.963175i | \(0.413348\pi\) |
−0.968572 | + | 0.248734i | \(0.919986\pi\) | |||||||
\(440\) | 5.46410 | + | 16.3923i | 0.260491 | + | 0.781472i | ||||
\(441\) | −7.09808 | − | 17.7583i | −0.338004 | − | 0.845635i | ||||
\(442\) | −6.58846 | − | 24.5885i | −0.313381 | − | 1.16955i | ||||
\(443\) | −5.64359 | − | 21.0622i | −0.268135 | − | 1.00069i | −0.960303 | − | 0.278958i | \(-0.910011\pi\) |
0.692168 | − | 0.721736i | \(-0.256656\pi\) | |||||||
\(444\) | −0.928203 | + | 1.60770i | −0.0440506 | + | 0.0762978i | ||||
\(445\) | −0.911543 | − | 15.1865i | −0.0432113 | − | 0.719911i | ||||
\(446\) | 5.92820 | + | 10.2679i | 0.280709 | + | 0.486201i | ||||
\(447\) | −1.95448 | − | 1.95448i | −0.0924439 | − | 0.0924439i | ||||
\(448\) | 20.0000 | + | 6.92820i | 0.944911 | + | 0.327327i | ||||
\(449\) | − | 12.8038i | − | 0.604251i | −0.953268 | − | 0.302125i | \(-0.902304\pi\) | ||
0.953268 | − | 0.302125i | \(-0.0976962\pi\) | |||||||
\(450\) | 7.19615 | + | 17.9282i | 0.339230 | + | 0.845144i | ||||
\(451\) | 8.83013 | + | 15.2942i | 0.415794 | + | 0.720177i | ||||
\(452\) | −6.92820 | − | 25.8564i | −0.325875 | − | 1.21618i | ||||
\(453\) | 12.0981 | − | 3.24167i | 0.568417 | − | 0.152307i | ||||
\(454\) | −11.3923 | + | 19.7321i | −0.534667 | + | 0.926071i | ||||
\(455\) | −12.8038 | + | 21.5885i | −0.600254 | + | 1.01208i | ||||
\(456\) | − | 5.07180i | − | 0.237509i | ||||||
\(457\) | 0.0717968 | + | 0.267949i | 0.00335851 | + | 0.0125341i | 0.967585 | − | 0.252547i | \(-0.0812681\pi\) |
−0.964226 | + | 0.265081i | \(0.914601\pi\) | |||||||
\(458\) | −8.53590 | + | 8.53590i | −0.398856 | + | 0.398856i | ||||
\(459\) | −6.29423 | − | 10.9019i | −0.293789 | − | 0.508858i | ||||
\(460\) | −24.5885 | + | 8.19615i | −1.14644 | + | 0.382148i | ||||
\(461\) | 39.8564 | 1.85630 | 0.928149 | − | 0.372209i | \(-0.121400\pi\) | ||||
0.928149 | + | 0.372209i | \(0.121400\pi\) | |||||||
\(462\) | −1.73205 | + | 5.00000i | −0.0805823 | + | 0.232621i | ||||
\(463\) | −7.83013 | − | 7.83013i | −0.363897 | − | 0.363897i | 0.501349 | − | 0.865245i | \(-0.332837\pi\) |
−0.865245 | + | 0.501349i | \(0.832837\pi\) | |||||||
\(464\) | −4.92820 | − | 8.53590i | −0.228786 | − | 0.396269i | ||||
\(465\) | −0.169873 | − | 0.150635i | −0.00787767 | − | 0.00698554i | ||||
\(466\) | − | 10.3923i | − | 0.481414i | ||||||
\(467\) | −2.76795 | − | 10.3301i | −0.128085 | − | 0.478021i | 0.871845 | − | 0.489781i | \(-0.162923\pi\) |
−0.999931 | + | 0.0117598i | \(0.996257\pi\) | |||||||
\(468\) | 6.00000 | − | 22.3923i | 0.277350 | − | 1.03508i | ||||
\(469\) | 18.0622 | + | 12.2321i | 0.834034 | + | 0.564824i | ||||
\(470\) | 15.9282 | + | 24.1244i | 0.734713 | + | 1.11277i | ||||
\(471\) | 2.02628 | − | 3.50962i | 0.0933660 | − | 0.161715i | ||||
\(472\) | −3.60770 | + | 13.4641i | −0.166058 | + | 0.619736i | ||||
\(473\) | 0.633975 | − | 2.36603i | 0.0291502 | − | 0.108790i | ||||
\(474\) | −0.339746 | − | 0.588457i | −0.0156050 | − | 0.0270287i | ||||
\(475\) | −13.8564 | + | 10.3923i | −0.635776 | + | 0.476832i | ||||
\(476\) | 9.80385 | + | 20.1962i | 0.449359 | + | 0.925689i | ||||
\(477\) | 22.3923 | + | 22.3923i | 1.02527 | + | 1.02527i | ||||
\(478\) | 1.73205 | + | 0.464102i | 0.0792222 | + | 0.0212275i | ||||
\(479\) | −7.09808 | − | 12.2942i | −0.324319 | − | 0.561738i | 0.657055 | − | 0.753843i | \(-0.271802\pi\) |
−0.981374 | + | 0.192105i | \(0.938469\pi\) | |||||||
\(480\) | −3.60770 | − | 5.46410i | −0.164668 | − | 0.249401i | ||||
\(481\) | −6.58846 | − | 3.80385i | −0.300408 | − | 0.173441i | ||||
\(482\) | −0.143594 | − | 0.535898i | −0.00654051 | − | 0.0244095i | ||||
\(483\) | −7.50000 | − | 2.59808i | −0.341262 | − | 0.118217i | ||||
\(484\) | 6.12436 | − | 3.53590i | 0.278380 | − | 0.160723i | ||||
\(485\) | −30.1506 | − | 6.16987i | −1.36907 | − | 0.280160i | ||||
\(486\) | − | 17.4641i | − | 0.792188i | ||||||
\(487\) | −0.0980762 | − | 0.0262794i | −0.00444426 | − | 0.00119084i | 0.256596 | − | 0.966519i | \(-0.417399\pi\) |
−0.261040 | + | 0.965328i | \(0.584066\pi\) | |||||||
\(488\) | −2.87564 | − | 10.7321i | −0.130174 | − | 0.485817i | ||||
\(489\) | −10.7321 | −0.485320 | ||||||||
\(490\) | 7.49038 | − | 20.8301i | 0.338381 | − | 0.941009i | ||||
\(491\) | 1.80385i | 0.0814065i | 0.999171 | + | 0.0407033i | \(0.0129598\pi\) | ||||
−0.999171 | + | 0.0407033i | \(0.987040\pi\) | |||||||
\(492\) | −4.73205 | − | 4.73205i | −0.213337 | − | 0.213337i | ||||
\(493\) | 2.70577 | − | 10.0981i | 0.121862 | − | 0.454794i | ||||
\(494\) | 20.7846 | 0.935144 | ||||||||
\(495\) | −13.9282 | + | 9.19615i | −0.626026 | + | 0.413336i | ||||
\(496\) | −0.679492 | − | 0.392305i | −0.0305101 | − | 0.0176150i | ||||
\(497\) | −7.39230 | + | 21.3397i | −0.331590 | + | 0.957218i | ||||
\(498\) | 2.02628 | + | 7.56218i | 0.0907998 | + | 0.338869i | ||||
\(499\) | 15.7583 | − | 27.2942i | 0.705440 | − | 1.22186i | −0.261093 | − | 0.965314i | \(-0.584083\pi\) |
0.966533 | − | 0.256544i | \(-0.0825838\pi\) | |||||||
\(500\) | −7.53590 | + | 21.0526i | −0.337016 | + | 0.941499i | ||||
\(501\) | −7.79423 | + | 4.50000i | −0.348220 | + | 0.201045i | ||||
\(502\) | −0.856406 | + | 3.19615i | −0.0382233 | + | 0.142651i | ||||
\(503\) | −13.6865 | + | 13.6865i | −0.610252 | + | 0.610252i | −0.943012 | − | 0.332759i | \(-0.892020\pi\) |
0.332759 | + | 0.943012i | \(0.392020\pi\) | |||||||
\(504\) | −1.46410 | + | 20.3923i | −0.0652163 | + | 0.908345i | ||||
\(505\) | −28.2487 | − | 14.1244i | −1.25705 | − | 0.628526i | ||||
\(506\) | −11.1962 | − | 19.3923i | −0.497730 | − | 0.862093i | ||||
\(507\) | −2.50000 | − | 0.669873i | −0.111029 | − | 0.0297501i | ||||
\(508\) | 30.0526 | − | 8.05256i | 1.33337 | − | 0.357275i | ||||
\(509\) | −23.4282 | − | 13.5263i | −1.03844 | − | 0.599542i | −0.119047 | − | 0.992889i | \(-0.537984\pi\) |
−0.919390 | + | 0.393347i | \(0.871317\pi\) | |||||||
\(510\) | 1.39230 | − | 6.80385i | 0.0616523 | − | 0.301279i | ||||
\(511\) | 16.6340 | − | 24.5622i | 0.735844 | − | 1.08657i | ||||
\(512\) | −16.0000 | − | 16.0000i | −0.707107 | − | 0.707107i | ||||
\(513\) | 9.92820 | − | 2.66025i | 0.438341 | − | 0.117453i | ||||
\(514\) | − | 10.1436i | − | 0.447415i | ||||||
\(515\) | −9.23205 | − | 8.18653i | −0.406813 | − | 0.360742i | ||||
\(516\) | 0.928203i | 0.0408619i | ||||||||
\(517\) | −17.6603 | + | 17.6603i | −0.776697 | + | 0.776697i | ||||
\(518\) | 6.33975 | + | 2.19615i | 0.278552 | + | 0.0964934i | ||||
\(519\) | − | 12.9282i | − | 0.567485i | ||||||
\(520\) | 22.3923 | − | 14.7846i | 0.981968 | − | 0.648348i | ||||
\(521\) | −13.3923 | + | 7.73205i | −0.586728 | + | 0.338747i | −0.763802 | − | 0.645450i | \(-0.776670\pi\) |
0.177075 | + | 0.984197i | \(0.443337\pi\) | |||||||
\(522\) | 6.73205 | − | 6.73205i | 0.294654 | − | 0.294654i | ||||
\(523\) | −32.4904 | + | 8.70577i | −1.42071 | + | 0.380677i | −0.885734 | − | 0.464193i | \(-0.846344\pi\) |
−0.534971 | + | 0.844870i | \(0.679678\pi\) | |||||||
\(524\) | 0.928203 | − | 0.535898i | 0.0405487 | − | 0.0234108i | ||||
\(525\) | −5.75833 | + | 3.70577i | −0.251314 | + | 0.161733i | ||||
\(526\) | 26.4904 | + | 15.2942i | 1.15504 | + | 0.666860i | ||||
\(527\) | −0.215390 | − | 0.803848i | −0.00938255 | − | 0.0350162i | ||||
\(528\) | 4.00000 | − | 4.00000i | 0.174078 | − | 0.174078i | ||||
\(529\) | 9.16987 | − | 5.29423i | 0.398690 | − | 0.230184i | ||||
\(530\) | 2.19615 | + | 36.5885i | 0.0953948 | + | 1.58930i | ||||
\(531\) | −13.4641 | −0.584292 | ||||||||
\(532\) | −18.0000 | + | 3.46410i | −0.780399 | + | 0.150188i | ||||
\(533\) | 19.3923 | − | 19.3923i | 0.839974 | − | 0.839974i | ||||
\(534\) | −4.31347 | + | 2.49038i | −0.186662 | + | 0.107769i | ||||
\(535\) | 19.0885 | − | 21.5263i | 0.825266 | − | 0.930662i | ||||
\(536\) | −11.6603 | − | 20.1962i | −0.503646 | − | 0.872341i | ||||
\(537\) | −12.0263 | + | 3.22243i | −0.518972 | + | 0.139058i | ||||
\(538\) | −3.83013 | − | 14.2942i | −0.165129 | − | 0.616268i | ||||
\(539\) | 18.9282 | + | 2.73205i | 0.815295 | + | 0.117678i | ||||
\(540\) | 8.80385 | − | 9.92820i | 0.378857 | − | 0.427242i | ||||
\(541\) | 13.7942 | + | 7.96410i | 0.593060 | + | 0.342403i | 0.766307 | − | 0.642475i | \(-0.222092\pi\) |
−0.173246 | + | 0.984879i | \(0.555426\pi\) | |||||||
\(542\) | 12.0000 | − | 12.0000i | 0.515444 | − | 0.515444i | ||||
\(543\) | −3.01666 | + | 11.2583i | −0.129457 | + | 0.483141i | ||||
\(544\) | − | 24.0000i | − | 1.02899i | ||||||
\(545\) | −15.4641 | − | 7.73205i | −0.662409 | − | 0.331205i | ||||
\(546\) | 8.19615 | + | 0.588457i | 0.350763 | + | 0.0251836i | ||||
\(547\) | −11.4904 | − | 11.4904i | −0.491293 | − | 0.491293i | 0.417420 | − | 0.908714i | \(-0.362934\pi\) |
−0.908714 | + | 0.417420i | \(0.862934\pi\) | |||||||
\(548\) | 12.0000 | + | 12.0000i | 0.512615 | + | 0.512615i | ||||
\(549\) | 9.29423 | − | 5.36603i | 0.396668 | − | 0.229016i | ||||
\(550\) | −19.1244 | − | 2.73205i | −0.815465 | − | 0.116495i | ||||
\(551\) | 7.39230 | + | 4.26795i | 0.314923 | + | 0.181821i | ||||
\(552\) | 6.00000 | + | 6.00000i | 0.255377 | + | 0.255377i | ||||
\(553\) | −1.85641 | + | 1.60770i | −0.0789424 | + | 0.0683662i | ||||
\(554\) | −17.7846 | − | 10.2679i | −0.755596 | − | 0.436243i | ||||
\(555\) | −1.14359 | − | 1.73205i | −0.0485428 | − | 0.0735215i | ||||
\(556\) | 4.73205 | − | 8.19615i | 0.200684 | − | 0.347594i | ||||
\(557\) | 8.24167 | − | 30.7583i | 0.349211 | − | 1.30327i | −0.538404 | − | 0.842687i | \(-0.680973\pi\) |
0.887615 | − | 0.460586i | \(-0.152361\pi\) | |||||||
\(558\) | 0.196152 | − | 0.732051i | 0.00830379 | − | 0.0309902i | ||||
\(559\) | −3.80385 | −0.160886 | ||||||||
\(560\) | −16.9282 | + | 16.5359i | −0.715347 | + | 0.698769i | ||||
\(561\) | 6.00000 | 0.253320 | ||||||||
\(562\) | −8.87564 | + | 33.1244i | −0.374396 | + | 1.39727i | ||||
\(563\) | −1.35641 | + | 5.06218i | −0.0571657 | + | 0.213345i | −0.988600 | − | 0.150563i | \(-0.951891\pi\) |
0.931435 | + | 0.363909i | \(0.118558\pi\) | |||||||
\(564\) | 4.73205 | − | 8.19615i | 0.199255 | − | 0.345120i | ||||
\(565\) | 29.3205 | + | 6.00000i | 1.23352 | + | 0.252422i | ||||
\(566\) | −6.80385 | − | 3.92820i | −0.285987 | − | 0.165115i | ||||
\(567\) | −17.3038 | + | 3.33013i | −0.726693 | + | 0.139852i | ||||
\(568\) | 17.0718 | − | 17.0718i | 0.716317 | − | 0.716317i | ||||
\(569\) | −29.1962 | − | 16.8564i | −1.22397 | − | 0.706657i | −0.258205 | − | 0.966090i | \(-0.583131\pi\) |
−0.965761 | + | 0.259433i | \(0.916464\pi\) | |||||||
\(570\) | 5.07180 | + | 2.53590i | 0.212434 | + | 0.106217i | ||||
\(571\) | −26.7846 | + | 15.4641i | −1.12090 | + | 0.647153i | −0.941631 | − | 0.336647i | \(-0.890707\pi\) |
−0.179270 | + | 0.983800i | \(0.557374\pi\) | |||||||
\(572\) | 16.3923 | + | 16.3923i | 0.685397 | + | 0.685397i | ||||
\(573\) | 7.73205 | + | 7.73205i | 0.323011 | + | 0.323011i | ||||
\(574\) | −13.5622 | + | 20.0263i | −0.566074 | + | 0.835881i | ||||
\(575\) | 4.09808 | − | 28.6865i | 0.170902 | − | 1.19631i | ||||
\(576\) | 10.9282 | − | 18.9282i | 0.455342 | − | 0.788675i | ||||
\(577\) | 9.49038 | − | 35.4186i | 0.395090 | − | 1.47449i | −0.426538 | − | 0.904470i | \(-0.640267\pi\) |
0.821627 | − | 0.570025i | \(-0.193067\pi\) | |||||||
\(578\) | 1.00000 | − | 1.00000i | 0.0415945 | − | 0.0415945i | ||||
\(579\) | 0.973721 | + | 0.562178i | 0.0404664 | + | 0.0233633i | ||||
\(580\) | 11.0000 | − | 0.660254i | 0.456750 | − | 0.0274156i | ||||
\(581\) | 25.4545 | − | 12.3564i | 1.05603 | − | 0.512630i | ||||
\(582\) | 2.60770 | + | 9.73205i | 0.108092 | + | 0.403406i | ||||
\(583\) | −30.5885 | + | 8.19615i | −1.26684 | + | 0.339450i | ||||
\(584\) | −27.4641 | + | 15.8564i | −1.13647 | + | 0.656143i | ||||
\(585\) | 19.3923 | + | 17.1962i | 0.801773 | + | 0.710973i | ||||
\(586\) | −10.7321 | + | 6.19615i | −0.443337 | + | 0.255961i | ||||
\(587\) | −9.00000 | + | 9.00000i | −0.371470 | + | 0.371470i | −0.868012 | − | 0.496543i | \(-0.834603\pi\) |
0.496543 | + | 0.868012i | \(0.334603\pi\) | |||||||
\(588\) | −7.19615 | + | 0.856406i | −0.296764 | + | 0.0353176i | ||||
\(589\) | 0.679492 | 0.0279980 | ||||||||
\(590\) | −11.6603 | − | 10.3397i | −0.480045 | − | 0.425681i | ||||
\(591\) | −7.90192 | + | 4.56218i | −0.325042 | + | 0.187663i | ||||
\(592\) | −5.07180 | − | 5.07180i | −0.208450 | − | 0.208450i | ||||
\(593\) | −3.80385 | − | 14.1962i | −0.156205 | − | 0.582966i | −0.998999 | − | 0.0447296i | \(-0.985757\pi\) |
0.842794 | − | 0.538237i | \(-0.180909\pi\) | |||||||
\(594\) | 9.92820 | + | 5.73205i | 0.407359 | + | 0.235189i | ||||
\(595\) | −25.0981 | − | 0.294229i | −1.02892 | − | 0.0120622i | ||||
\(596\) | 9.24871 | − | 5.33975i | 0.378842 | − | 0.218725i | ||||
\(597\) | 1.73205 | − | 0.464102i | 0.0708881 | − | 0.0189944i | ||||
\(598\) | −24.5885 | + | 24.5885i | −1.00550 | + | 1.00550i | ||||
\(599\) | −21.0000 | + | 12.1244i | −0.858037 | + | 0.495388i | −0.863354 | − | 0.504598i | \(-0.831641\pi\) |
0.00531761 | + | 0.999986i | \(0.498307\pi\) | |||||||
\(600\) | 7.26795 | − | 0.875644i | 0.296713 | − | 0.0357480i | ||||
\(601\) | − | 7.60770i | − | 0.310324i | −0.987889 | − | 0.155162i | \(-0.950410\pi\) | ||
0.987889 | − | 0.155162i | \(-0.0495900\pi\) | |||||||
\(602\) | 3.29423 | − | 0.633975i | 0.134263 | − | 0.0258389i | ||||
\(603\) | 15.9282 | − | 15.9282i | 0.648647 | − | 0.648647i | ||||
\(604\) | 48.3923i | 1.96905i | ||||||||
\(605\) | 0.473721 | + | 7.89230i | 0.0192595 | + | 0.320868i | ||||
\(606\) | 10.3397i | 0.420023i | ||||||||
\(607\) | 11.1603 | − | 2.99038i | 0.452981 | − | 0.121376i | −0.0251130 | − | 0.999685i | \(-0.507995\pi\) |
0.478094 | + | 0.878309i | \(0.341328\pi\) | |||||||
\(608\) | 18.9282 | + | 5.07180i | 0.767640 | + | 0.205689i | ||||
\(609\) | 2.79423 | + | 1.89230i | 0.113228 | + | 0.0766801i | ||||
\(610\) | 12.1699 | + | 2.49038i | 0.492744 | + | 0.100833i | ||||
\(611\) | 33.5885 | + | 19.3923i | 1.35884 | + | 0.784529i | ||||
\(612\) | 22.3923 | − | 6.00000i | 0.905155 | − | 0.242536i | ||||
\(613\) | 13.5622 | + | 3.63397i | 0.547771 | + | 0.146775i | 0.522082 | − | 0.852895i | \(-0.325155\pi\) |
0.0256889 | + | 0.999670i | \(0.491822\pi\) | |||||||
\(614\) | −21.7583 | − | 37.6865i | −0.878095 | − | 1.52090i | ||||
\(615\) | 7.09808 | − | 2.36603i | 0.286222 | − | 0.0954074i | ||||
\(616\) | −16.9282 | − | 11.4641i | −0.682057 | − | 0.461902i | ||||
\(617\) | 12.9282 | − | 12.9282i | 0.520470 | − | 0.520470i | −0.397243 | − | 0.917713i | \(-0.630033\pi\) |
0.917713 | + | 0.397243i | \(0.130033\pi\) | |||||||
\(618\) | −1.04552 | + | 3.90192i | −0.0420569 | + | 0.156958i | ||||
\(619\) | 0.294229 | − | 0.169873i | 0.0118260 | − | 0.00682777i | −0.494075 | − | 0.869419i | \(-0.664493\pi\) |
0.505901 | + | 0.862591i | \(0.331160\pi\) | |||||||
\(620\) | 0.732051 | − | 0.483340i | 0.0293999 | − | 0.0194114i | ||||
\(621\) | −8.59808 | + | 14.8923i | −0.345029 | + | 0.597608i | ||||
\(622\) | −4.05256 | − | 15.1244i | −0.162493 | − | 0.606431i | ||||
\(623\) | 11.7846 | + | 13.6077i | 0.472140 | + | 0.545181i | ||||
\(624\) | −7.60770 | − | 4.39230i | −0.304552 | − | 0.175833i | ||||
\(625\) | −17.2846 | − | 18.0622i | −0.691384 | − | 0.722487i | ||||
\(626\) | −44.3923 | −1.77427 | ||||||||
\(627\) | −1.26795 | + | 4.73205i | −0.0506370 | + | 0.188980i | ||||
\(628\) | 11.0718 | + | 11.0718i | 0.441813 | + | 0.441813i | ||||
\(629\) | − | 7.60770i | − | 0.303339i | ||||||
\(630\) | −19.6603 | − | 11.6603i | −0.783283 | − | 0.464556i | ||||
\(631\) | −10.7321 | −0.427236 | −0.213618 | − | 0.976917i | \(-0.568525\pi\) | ||||
−0.213618 | + | 0.976917i | \(0.568525\pi\) | |||||||
\(632\) | 2.53590 | − | 0.679492i | 0.100873 | − | 0.0270287i | ||||
\(633\) | 13.7321 | + | 3.67949i | 0.545800 | + | 0.146247i | ||||
\(634\) | − | 14.3923i | − | 0.571591i | ||||||
\(635\) | −6.97372 | + | 34.0788i | −0.276744 | + | 1.35238i | ||||
\(636\) | 10.3923 | − | 6.00000i | 0.412082 | − | 0.237915i | ||||
\(637\) | −3.50962 | − | 29.4904i | −0.139056 | − | 1.16845i | ||||
\(638\) | 2.46410 | + | 9.19615i | 0.0975547 | + | 0.364079i | ||||
\(639\) | 20.1962 | + | 11.6603i | 0.798947 | + | 0.461273i | ||||
\(640\) | 24.0000 | − | 8.00000i | 0.948683 | − | 0.316228i | ||||
\(641\) | 7.66987 | + | 13.2846i | 0.302942 | + | 0.524711i | 0.976801 | − | 0.214149i | \(-0.0686979\pi\) |
−0.673859 | + | 0.738860i | \(0.735365\pi\) | |||||||
\(642\) | −9.09808 | − | 2.43782i | −0.359072 | − | 0.0962132i | ||||
\(643\) | −9.00000 | − | 9.00000i | −0.354925 | − | 0.354925i | 0.507013 | − | 0.861938i | \(-0.330750\pi\) |
−0.861938 | + | 0.507013i | \(0.830750\pi\) | |||||||
\(644\) | 17.1962 | − | 25.3923i | 0.677623 | − | 1.00060i | ||||
\(645\) | −0.928203 | − | 0.464102i | −0.0365480 | − | 0.0182740i | ||||
\(646\) | 10.3923 | + | 18.0000i | 0.408880 | + | 0.708201i | ||||
\(647\) | 3.74167 | − | 13.9641i | 0.147100 | − | 0.548985i | −0.852553 | − | 0.522641i | \(-0.824947\pi\) |
0.999653 | − | 0.0263442i | \(-0.00838660\pi\) | |||||||
\(648\) | 18.1962 | + | 4.87564i | 0.714812 | + | 0.191533i | ||||
\(649\) | 6.73205 | − | 11.6603i | 0.264256 | − | 0.457705i | ||||
\(650\) | 3.58846 | + | 29.7846i | 0.140751 | + | 1.16825i | ||||
\(651\) | 0.267949 | + | 0.0192379i | 0.0105018 | + | 0.000753992i | ||||
\(652\) | 10.7321 | − | 40.0526i | 0.420300 | − | 1.56858i | ||||
\(653\) | −8.41858 | − | 31.4186i | −0.329445 | − | 1.22950i | −0.909768 | − | 0.415118i | \(-0.863740\pi\) |
0.580323 | − | 0.814386i | \(-0.302926\pi\) | |||||||
\(654\) | 5.66025i | 0.221333i | ||||||||
\(655\) | 0.0717968 | + | 1.19615i | 0.00280533 | + | 0.0467375i | ||||
\(656\) | 22.3923 | − | 12.9282i | 0.874273 | − | 0.504762i | ||||
\(657\) | −21.6603 | − | 21.6603i | −0.845047 | − | 0.845047i | ||||
\(658\) | −32.3205 | − | 11.1962i | −1.25998 | − | 0.436471i | ||||
\(659\) | −4.67949 | −0.182287 | −0.0911436 | − | 0.995838i | \(-0.529052\pi\) | ||||
−0.0911436 | + | 0.995838i | \(0.529052\pi\) | |||||||
\(660\) | 2.00000 | + | 6.00000i | 0.0778499 | + | 0.233550i | ||||
\(661\) | 13.0359 | + | 22.5788i | 0.507038 | + | 0.878215i | 0.999967 | + | 0.00814557i | \(0.00259284\pi\) |
−0.492929 | + | 0.870069i | \(0.664074\pi\) | |||||||
\(662\) | −10.7321 | + | 10.7321i | −0.417113 | + | 0.417113i | ||||
\(663\) | −2.41154 | − | 9.00000i | −0.0936566 | − | 0.349531i | ||||
\(664\) | −30.2487 | −1.17388 | ||||||||
\(665\) | 5.53590 | − | 19.7321i | 0.214673 | − | 0.765176i | ||||
\(666\) | 3.46410 | − | 6.00000i | 0.134231 | − | 0.232495i | ||||
\(667\) | −13.7942 | + | 3.69615i | −0.534115 | + | 0.143116i | ||||
\(668\) | −9.00000 | − | 33.5885i | −0.348220 | − | 1.29958i | ||||
\(669\) | 2.16987 | + | 3.75833i | 0.0838921 | + | 0.145305i | ||||
\(670\) | 26.0263 | − | 1.56218i | 1.00548 | − | 0.0603522i | ||||
\(671\) | 10.7321i | 0.414306i | ||||||||
\(672\) | 7.32051 | + | 2.53590i | 0.282395 | + | 0.0978244i | ||||
\(673\) | 0.196152 | + | 0.196152i | 0.00756112 | + | 0.00756112i | 0.710877 | − | 0.703316i | \(-0.248298\pi\) |
−0.703316 | + | 0.710877i | \(0.748298\pi\) | |||||||
\(674\) | −2.33975 | − | 4.05256i | −0.0901236 | − | 0.156099i | ||||
\(675\) | 5.52628 | + | 13.7679i | 0.212707 | + | 0.529929i | ||||
\(676\) | 5.00000 | − | 8.66025i | 0.192308 | − | 0.333087i | ||||
\(677\) | −7.56218 | − | 28.2224i | −0.290638 | − | 1.08468i | −0.944620 | − | 0.328166i | \(-0.893569\pi\) |
0.653982 | − | 0.756510i | \(-0.273097\pi\) | |||||||
\(678\) | −2.53590 | − | 9.46410i | −0.0973906 | − | 0.363467i | ||||
\(679\) | 32.7583 | − | 15.9019i | 1.25715 | − | 0.610260i | ||||
\(680\) | 24.0000 | + | 12.0000i | 0.920358 | + | 0.460179i | ||||
\(681\) | −4.16987 | + | 7.22243i | −0.159790 | + | 0.276764i | ||||
\(682\) | 0.535898 | + | 0.535898i | 0.0205206 | + | 0.0205206i | ||||
\(683\) | −6.13397 | − | 1.64359i | −0.234710 | − | 0.0628904i | 0.139547 | − | 0.990215i | \(-0.455435\pi\) |
−0.374257 | + | 0.927325i | \(0.622102\pi\) | |||||||
\(684\) | 18.9282i | 0.723738i | ||||||||
\(685\) | −18.0000 | + | 6.00000i | −0.687745 | + | 0.229248i | ||||
\(686\) | 7.95448 | + | 24.9545i | 0.303704 | + | 0.952767i | ||||
\(687\) | −3.12436 | + | 3.12436i | −0.119202 | + | 0.119202i | ||||
\(688\) | −3.46410 | − | 0.928203i | −0.132068 | − | 0.0353874i | ||||
\(689\) | 24.5885 | + | 42.5885i | 0.936746 | + | 1.62249i | ||||
\(690\) | −9.00000 | + | 3.00000i | −0.342624 | + | 0.114208i | ||||
\(691\) | 0.758330 | − | 1.31347i | 0.0288482 | − | 0.0499666i | −0.851241 | − | 0.524775i | \(-0.824149\pi\) |
0.880089 | + | 0.474809i | \(0.157483\pi\) | |||||||
\(692\) | 48.2487 | + | 12.9282i | 1.83414 | + | 0.491457i | ||||
\(693\) | 6.46410 | − | 18.6603i | 0.245551 | − | 0.708844i | ||||
\(694\) | 23.2750 | + | 13.4378i | 0.883507 | + | 0.510093i | ||||
\(695\) | 5.83013 | + | 8.83013i | 0.221149 | + | 0.334946i | ||||
\(696\) | −1.80385 | − | 3.12436i | −0.0683747 | − | 0.118428i | ||||
\(697\) | 26.4904 | + | 7.09808i | 1.00339 | + | 0.268859i | ||||
\(698\) | 43.6865 | + | 11.7058i | 1.65356 | + | 0.443070i | ||||
\(699\) | − | 3.80385i | − | 0.143875i | ||||||
\(700\) | −8.07180 | − | 25.1962i | −0.305085 | − | 0.952325i | ||||
\(701\) | − | 17.9808i | − | 0.679124i | −0.940584 | − | 0.339562i | \(-0.889721\pi\) | ||
0.940584 | − | 0.339562i | \(-0.110279\pi\) | |||||||
\(702\) | 4.60770 | − | 17.1962i | 0.173906 | − | 0.649027i | ||||
\(703\) | 6.00000 | + | 1.60770i | 0.226294 | + | 0.0606354i | ||||
\(704\) | 10.9282 | + | 18.9282i | 0.411872 | + | 0.713384i | ||||
\(705\) | 5.83013 | + | 8.83013i | 0.219575 | + | 0.332562i | ||||
\(706\) | 12.5885 | − | 21.8038i | 0.473773 | − | 0.820599i | ||||
\(707\) | 36.6962 | − | 7.06218i | 1.38010 | − | 0.265601i | ||||
\(708\) | −1.32051 | + | 4.92820i | −0.0496277 | + | 0.185213i | ||||
\(709\) | −1.03590 | + | 1.79423i | −0.0389040 | + | 0.0673837i | −0.884822 | − | 0.465930i | \(-0.845720\pi\) |
0.845918 | + | 0.533313i | \(0.179053\pi\) | |||||||
\(710\) | 8.53590 | + | 25.6077i | 0.320347 | + | 0.961040i | ||||
\(711\) | 1.26795 | + | 2.19615i | 0.0475518 | + | 0.0823622i | ||||
\(712\) | −4.98076 | − | 18.5885i | −0.186662 | − | 0.696632i | ||||
\(713\) | −0.803848 | + | 0.803848i | −0.0301043 | + | 0.0301043i | ||||
\(714\) | 3.58846 | + | 7.39230i | 0.134295 | + | 0.276650i | ||||
\(715\) | −24.5885 | + | 8.19615i | −0.919556 | + | 0.306519i | ||||
\(716\) | − | 48.1051i | − | 1.79777i | ||||||
\(717\) | 0.633975 | + | 0.169873i | 0.0236762 | + | 0.00634402i | ||||
\(718\) | −1.26795 | + | 1.26795i | −0.0473194 | + | 0.0473194i | ||||
\(719\) | 3.63397 | − | 6.29423i | 0.135524 | − | 0.234735i | −0.790273 | − | 0.612755i | \(-0.790061\pi\) |
0.925798 | + | 0.378019i | \(0.123395\pi\) | |||||||
\(720\) | 13.4641 | + | 20.3923i | 0.501777 | + | 0.759976i | ||||
\(721\) | 14.5622 | + | 1.04552i | 0.542324 | + | 0.0389371i | ||||
\(722\) | 9.56218 | − | 2.56218i | 0.355867 | − | 0.0953544i | ||||
\(723\) | −0.0525589 | − | 0.196152i | −0.00195469 | − | 0.00729499i | ||||
\(724\) | −39.0000 | − | 22.5167i | −1.44942 | − | 0.836825i | ||||
\(725\) | −4.83975 | + | 11.3301i | −0.179744 | + | 0.420790i | ||||
\(726\) | 2.24167 | − | 1.29423i | 0.0831962 | − | 0.0480333i | ||||
\(727\) | 1.70577 | + | 1.70577i | 0.0632636 | + | 0.0632636i | 0.738031 | − | 0.674767i | \(-0.235756\pi\) |
−0.674767 | + | 0.738031i | \(0.735756\pi\) | |||||||
\(728\) | −10.3923 | + | 30.0000i | −0.385164 | + | 1.11187i | ||||
\(729\) | 13.5885i | 0.503276i | ||||||||
\(730\) | −2.12436 | − | 35.3923i | −0.0786259 | − | 1.30993i | ||||
\(731\) | −1.90192 | − | 3.29423i | −0.0703452 | − | 0.121841i | ||||
\(732\) | −1.05256 | − | 3.92820i | −0.0389037 | − | 0.145191i | ||||
\(733\) | 21.2942 | − | 5.70577i | 0.786520 | − | 0.210747i | 0.156863 | − | 0.987620i | \(-0.449862\pi\) |
0.629657 | + | 0.776873i | \(0.283195\pi\) | |||||||
\(734\) | −19.2224 | − | 11.0981i | −0.709513 | − | 0.409637i | ||||
\(735\) | 2.74167 | − | 7.62436i | 0.101128 | − | 0.281229i | ||||
\(736\) | −28.3923 | + | 16.3923i | −1.04655 | + | 0.604228i | ||||
\(737\) | 5.83013 | + | 21.7583i | 0.214755 | + | 0.801478i | ||||
\(738\) | 17.6603 | + | 17.6603i | 0.650083 | + | 0.650083i | ||||
\(739\) | 2.83013 | + | 4.90192i | 0.104108 | + | 0.180320i | 0.913373 | − | 0.407123i | \(-0.133468\pi\) |
−0.809265 | + | 0.587443i | \(0.800135\pi\) | |||||||
\(740\) | 7.60770 | − | 2.53590i | 0.279664 | − | 0.0932215i | ||||
\(741\) | 7.60770 | 0.279476 | ||||||||
\(742\) | −28.3923 | − | 32.7846i | −1.04231 | − | 1.20356i | ||||
\(743\) | 6.41858 | + | 6.41858i | 0.235475 | + | 0.235475i | 0.814973 | − | 0.579498i | \(-0.196751\pi\) |
−0.579498 | + | 0.814973i | \(0.696751\pi\) | |||||||
\(744\) | −0.248711 | − | 0.143594i | −0.00911820 | − | 0.00526439i | ||||
\(745\) | 0.715390 | + | 11.9186i | 0.0262099 | + | 0.436663i | ||||
\(746\) | −13.8564 | −0.507319 | ||||||||
\(747\) | −7.56218 | − | 28.2224i | −0.276686 | − | 1.03260i | ||||
\(748\) | −6.00000 | + | 22.3923i | −0.219382 | + | 0.818744i | ||||
\(749\) | −2.43782 | + | 33.9545i | −0.0890761 | + | 1.24067i | ||||
\(750\) | −2.75833 | + | 7.70577i | −0.100720 | + | 0.281375i | ||||
\(751\) | −5.19615 | + | 9.00000i | −0.189610 | + | 0.328415i | −0.945120 | − | 0.326722i | \(-0.894056\pi\) |
0.755510 | + | 0.655137i | \(0.227389\pi\) | |||||||
\(752\) | 25.8564 | + | 25.8564i | 0.942886 | + | 0.942886i | ||||
\(753\) | −0.313467 | + | 1.16987i | −0.0114234 | + | 0.0426325i | ||||
\(754\) | 12.8038 | − | 7.39230i | 0.466289 | − | 0.269212i | ||||
\(755\) | −48.3923 | − | 24.1962i | −1.76118 | − | 0.880588i | ||||
\(756\) | −1.12436 | + | 15.6603i | −0.0408924 | + | 0.569558i | ||||
\(757\) | 1.05256 | + | 1.05256i | 0.0382559 | + | 0.0382559i | 0.725976 | − | 0.687720i | \(-0.241388\pi\) |
−0.687720 | + | 0.725976i | \(0.741388\pi\) | |||||||
\(758\) | 6.67949 | − | 24.9282i | 0.242610 | − | 0.905433i | ||||
\(759\) | −4.09808 | − | 7.09808i | −0.148751 | − | 0.257644i | ||||
\(760\) | −14.5359 | + | 16.3923i | −0.527272 | + | 0.594611i | ||||
\(761\) | −41.1962 | − | 23.7846i | −1.49336 | − | 0.862191i | −0.493388 | − | 0.869809i | \(-0.664242\pi\) |
−0.999971 | + | 0.00761770i | \(0.997575\pi\) | |||||||
\(762\) | 11.0000 | − | 2.94744i | 0.398488 | − | 0.106775i | ||||
\(763\) | 20.0885 | − | 3.86603i | 0.727251 | − | 0.139960i | ||||
\(764\) | −36.5885 | + | 21.1244i | −1.32372 | + | 0.764252i | ||||
\(765\) | −5.19615 | + | 25.3923i | −0.187867 | + | 0.918061i | ||||
\(766\) | −7.26795 | −0.262602 | ||||||||
\(767\) | −20.1962 | − | 5.41154i | −0.729241 | − | 0.195399i | ||||
\(768\) | −5.85641 | − | 5.85641i | −0.211325 | − | 0.211325i | ||||
\(769\) | 46.6410 | 1.68192 | 0.840959 | − | 0.541099i | \(-0.181992\pi\) | ||||
0.840959 | + | 0.541099i | \(0.181992\pi\) | |||||||
\(770\) | 19.9282 | − | 11.1962i | 0.718163 | − | 0.403481i | ||||
\(771\) | − | 3.71281i | − | 0.133714i | ||||||
\(772\) | −3.07180 | + | 3.07180i | −0.110556 | + | 0.110556i | ||||
\(773\) | −7.90192 | + | 29.4904i | −0.284212 | + | 1.06070i | 0.665200 | + | 0.746665i | \(0.268346\pi\) |
−0.949413 | + | 0.314030i | \(0.898321\pi\) | |||||||
\(774\) | − | 3.46410i | − | 0.124515i | ||||||
\(775\) | 0.117314 | + | 0.973721i | 0.00421405 | + | 0.0349771i | ||||
\(776\) | −38.9282 | −1.39744 | ||||||||
\(777\) | 2.32051 | + | 0.803848i | 0.0832478 | + | 0.0288379i | ||||
\(778\) | −39.5167 | + | 10.5885i | −1.41674 | + | 0.379615i | ||||
\(779\) | −11.1962 | + | 19.3923i | −0.401144 | + | 0.694801i | ||||
\(780\) | 8.19615 | − | 5.41154i | 0.293469 | − | 0.193764i | ||||
\(781\) | −20.1962 | + | 11.6603i | −0.722675 | + | 0.417237i | ||||
\(782\) | −33.5885 | − | 9.00000i | −1.20112 | − | 0.321839i | ||||
\(783\) | 5.16987 | − | 5.16987i | 0.184756 | − | 0.184756i | ||||
\(784\) | 4.00000 | − | 27.7128i | 0.142857 | − | 0.989743i | ||||
\(785\) | −16.6077 | + | 5.53590i | −0.592754 | + | 0.197585i | ||||
\(786\) | 0.339746 | − | 0.196152i | 0.0121183 | − | 0.00699653i | ||||
\(787\) | −26.7224 | − | 7.16025i | −0.952552 | − | 0.255235i | −0.251107 | − | 0.967959i | \(-0.580795\pi\) |
−0.701445 | + | 0.712724i | \(0.747461\pi\) | |||||||
\(788\) | −9.12436 | − | 34.0526i | −0.325042 | − | 1.21307i | ||||
\(789\) | 9.69615 | + | 5.59808i | 0.345192 | + | 0.199297i | ||||
\(790\) | −0.588457 | + | 2.87564i | −0.0209364 | + | 0.102311i | ||||
\(791\) | −31.8564 | + | 15.4641i | −1.13268 | + | 0.549840i | ||||
\(792\) | −14.9282 | + | 14.9282i | −0.530451 | + | 0.530451i | ||||
\(793\) | 16.0981 | − | 4.31347i | 0.571659 | − | 0.153176i | ||||
\(794\) | 4.14359 | 0.147051 | ||||||||
\(795\) | 0.803848 | + | 13.3923i | 0.0285095 | + | 0.474976i | ||||
\(796\) | 6.92820i | 0.245564i | ||||||||
\(797\) | −12.9282 | + | 12.9282i | −0.457940 | + | 0.457940i | −0.897979 | − | 0.440038i | \(-0.854965\pi\) |
0.440038 | + | 0.897979i | \(0.354965\pi\) | |||||||
\(798\) | −6.58846 | + | 1.26795i | −0.233229 | + | 0.0448849i | ||||
\(799\) | 38.7846i | 1.37210i | ||||||||
\(800\) | −4.00000 | + | 28.0000i | −0.141421 | + | 0.989949i | ||||
\(801\) | 16.0981 | − | 9.29423i | 0.568798 | − | 0.328395i | ||||
\(802\) | −24.7128 | − | 24.7128i | −0.872640 | − | 0.872640i | ||||
\(803\) | 29.5885 | − | 7.92820i | 1.04415 | − | 0.279780i | ||||
\(804\) | −4.26795 | − | 7.39230i | −0.150519 | − | 0.260706i | ||||
\(805\) | 16.7942 | + | 29.8923i | 0.591919 | + | 1.05357i | ||||
\(806\) | 0.588457 | − | 1.01924i | 0.0207275 | − | 0.0359011i | ||||
\(807\) | −1.40192 | − | 5.23205i | −0.0493501 | − | 0.184177i | ||||
\(808\) | −38.5885 | − | 10.3397i | −1.35754 | − | 0.363751i | ||||
\(809\) | −16.5788 | + | 9.57180i | −0.582881 | + | 0.336526i | −0.762277 | − | 0.647250i | \(-0.775919\pi\) |
0.179397 | + | 0.983777i | \(0.442585\pi\) | |||||||
\(810\) | −13.9737 | + | 15.7583i | −0.490986 | + | 0.553691i | ||||
\(811\) | 47.6603 | 1.67358 | 0.836789 | − | 0.547526i | \(-0.184430\pi\) | ||||
0.836789 | + | 0.547526i | \(0.184430\pi\) | |||||||
\(812\) | −9.85641 | + | 8.53590i | −0.345892 | + | 0.299551i | ||||
\(813\) | 4.39230 | − | 4.39230i | 0.154045 | − | 0.154045i | ||||
\(814\) | 3.46410 | + | 6.00000i | 0.121417 | + | 0.210300i | ||||
\(815\) | 34.6865 | + | 30.7583i | 1.21502 | + | 1.07742i | ||||
\(816\) | − | 8.78461i | − | 0.307523i | ||||||
\(817\) | 3.00000 | − | 0.803848i | 0.104957 | − | 0.0281231i | ||||
\(818\) | −12.8301 | + | 3.43782i | −0.448595 | + | 0.120201i | ||||
\(819\) | −30.5885 | − | 2.19615i | −1.06885 | − | 0.0767398i | ||||
\(820\) | 1.73205 | + | 28.8564i | 0.0604858 | + | 1.00771i | ||||
\(821\) | 3.92820 | + | 2.26795i | 0.137095 | + | 0.0791520i | 0.566979 | − | 0.823732i | \(-0.308112\pi\) |
−0.429884 | + | 0.902884i | \(0.641445\pi\) | |||||||
\(822\) | 4.39230 | + | 4.39230i | 0.153199 | + | 0.153199i | ||||
\(823\) | −3.30385 | + | 12.3301i | −0.115165 | + | 0.429801i | −0.999299 | − | 0.0374316i | \(-0.988082\pi\) |
0.884134 | + | 0.467233i | \(0.154749\pi\) | |||||||
\(824\) | −13.5167 | − | 7.80385i | −0.470875 | − | 0.271860i | ||||
\(825\) | −7.00000 | − | 1.00000i | −0.243709 | − | 0.0348155i | ||||
\(826\) | 18.3923 | + | 1.32051i | 0.639950 | + | 0.0459464i | ||||
\(827\) | 26.1506 | + | 26.1506i | 0.909347 | + | 0.909347i | 0.996219 | − | 0.0868727i | \(-0.0276874\pi\) |
−0.0868727 | + | 0.996219i | \(0.527687\pi\) | |||||||
\(828\) | −22.3923 | − | 22.3923i | −0.778186 | − | 0.778186i | ||||
\(829\) | −2.19615 | + | 1.26795i | −0.0762755 | + | 0.0440377i | −0.537653 | − | 0.843166i | \(-0.680689\pi\) |
0.461377 | + | 0.887204i | \(0.347356\pi\) | |||||||
\(830\) | 15.1244 | − | 30.2487i | 0.524974 | − | 1.04995i | ||||
\(831\) | −6.50962 | − | 3.75833i | −0.225816 | − | 0.130375i | ||||
\(832\) | 24.0000 | − | 24.0000i | 0.832050 | − | 0.832050i | ||||
\(833\) | 23.7846 | − | 17.7846i | 0.824088 | − | 0.616200i | ||||
\(834\) | 1.73205 | − | 3.00000i | 0.0599760 | − | 0.103882i | ||||
\(835\) | 38.0885 | + | 7.79423i | 1.31811 | + | 0.269730i | ||||
\(836\) | −16.3923 | − | 9.46410i | −0.566940 | − | 0.327323i | ||||
\(837\) | 0.150635 | − | 0.562178i | 0.00520671 | − | 0.0194317i | ||||
\(838\) | 25.1244 | + | 6.73205i | 0.867906 | + | 0.232555i | ||||
\(839\) | −3.80385 | −0.131323 | −0.0656617 | − | 0.997842i | \(-0.520916\pi\) | ||||
−0.0656617 | + | 0.997842i | \(0.520916\pi\) | |||||||
\(840\) | −6.19615 | + | 6.05256i | −0.213788 | + | 0.208833i | ||||
\(841\) | −22.9282 | −0.790628 | ||||||||
\(842\) | −8.02628 | − | 2.15064i | −0.276604 | − | 0.0741158i | ||||
\(843\) | −3.24871 | + | 12.1244i | −0.111892 | + | 0.417585i | ||||
\(844\) | −27.4641 | + | 47.5692i | −0.945353 | + | 1.63740i | ||||
\(845\) | 6.16025 | + | 9.33013i | 0.211919 | + | 0.320966i | ||||
\(846\) | −17.6603 | + | 30.5885i | −0.607172 | + | 1.05165i | ||||
\(847\) | −6.12436 | − | 7.07180i | −0.210435 | − | 0.242990i | ||||
\(848\) | 12.0000 | + | 44.7846i | 0.412082 | + | 1.53791i | ||||
\(849\) | −2.49038 | − | 1.43782i | −0.0854697 | − | 0.0493459i | ||||
\(850\) | −24.0000 | + | 18.0000i | −0.823193 | + | 0.617395i | ||||
\(851\) | −9.00000 | + | 5.19615i | −0.308516 | + | 0.178122i | ||||
\(852\) | 6.24871 | − | 6.24871i | 0.214077 | − | 0.214077i | ||||
\(853\) | −5.32051 | − | 5.32051i | −0.182171 | − | 0.182171i | 0.610130 | − | 0.792301i | \(-0.291117\pi\) |
−0.792301 | + | 0.610130i | \(0.791117\pi\) | |||||||
\(854\) | −13.2224 | + | 6.41858i | −0.452462 | + | 0.219639i | ||||
\(855\) | −18.9282 | − | 9.46410i | −0.647331 | − | 0.323665i | ||||
\(856\) | 18.1962 | − | 31.5167i | 0.621932 | − | 1.07722i | ||||
\(857\) | −6.75833 | + | 25.2224i | −0.230860 | + | 0.861582i | 0.749111 | + | 0.662444i | \(0.230481\pi\) |
−0.979972 | + | 0.199138i | \(0.936186\pi\) | |||||||
\(858\) | 6.00000 | + | 6.00000i | 0.204837 | + | 0.204837i | ||||
\(859\) | −3.80385 | − | 2.19615i | −0.129786 | − | 0.0749318i | 0.433702 | − | 0.901057i | \(-0.357207\pi\) |
−0.563487 | + | 0.826125i | \(0.690541\pi\) | |||||||
\(860\) | 2.66025 | − | 3.00000i | 0.0907139 | − | 0.102299i | ||||
\(861\) | −4.96410 | + | 7.33013i | −0.169176 | + | 0.249810i | ||||
\(862\) | −22.8564 | + | 6.12436i | −0.778492 | + | 0.208596i | ||||
\(863\) | 2.76795 | − | 0.741670i | 0.0942221 | − | 0.0252467i | −0.211400 | − | 0.977400i | \(-0.567802\pi\) |
0.305622 | + | 0.952153i | \(0.401136\pi\) | |||||||
\(864\) | 8.39230 | − | 14.5359i | 0.285512 | − | 0.494521i | ||||
\(865\) | −37.0526 | + | 41.7846i | −1.25982 | + | 1.42072i | ||||
\(866\) | 4.53590 | + | 7.85641i | 0.154136 | + | 0.266972i | ||||
\(867\) | 0.366025 | − | 0.366025i | 0.0124309 | − | 0.0124309i | ||||
\(868\) | −0.339746 | + | 0.980762i | −0.0115317 | + | 0.0332892i | ||||
\(869\) | −2.53590 | −0.0860245 | ||||||||
\(870\) | 4.02628 | − | 0.241670i | 0.136504 | − | 0.00819337i | ||||
\(871\) | 30.2942 | − | 17.4904i | 1.02648 | − | 0.592639i | ||||
\(872\) | −21.1244 | − | 5.66025i | −0.715361 | − | 0.191680i | ||||
\(873\) | −9.73205 | − | 36.3205i | −0.329380 | − | 1.22926i | ||||
\(874\) | 14.1962 | − | 24.5885i | 0.480192 | − | 0.831717i | ||||
\(875\) | 29.2321 | + | 4.52628i | 0.988224 | + | 0.153016i | ||||
\(876\) | −10.0526 | + | 5.80385i | −0.339644 | + | 0.196094i | ||||
\(877\) | −5.19615 | + | 1.39230i | −0.175462 | + | 0.0470148i | −0.345480 | − | 0.938426i | \(-0.612284\pi\) |
0.170018 | + | 0.985441i | \(0.445617\pi\) | |||||||
\(878\) | −29.3205 | − | 29.3205i | −0.989519 | − | 0.989519i | ||||
\(879\) | −3.92820 | + | 2.26795i | −0.132495 | + | 0.0764960i | ||||
\(880\) | −24.3923 | + | 1.46410i | −0.822264 | + | 0.0493549i | ||||
\(881\) | 21.2487i | 0.715887i | 0.933743 | + | 0.357944i | \(0.116522\pi\) | ||||
−0.933743 | + | 0.357944i | \(0.883478\pi\) | |||||||
\(882\) | 26.8564 | − | 3.19615i | 0.904302 | − | 0.107620i | ||||
\(883\) | 33.2487 | − | 33.2487i | 1.11891 | − | 1.11891i | 0.127006 | − | 0.991902i | \(-0.459463\pi\) |
0.991902 | − | 0.127006i | \(-0.0405368\pi\) | |||||||
\(884\) | 36.0000 | 1.21081 | ||||||||
\(885\) | −4.26795 | − | 3.78461i | −0.143466 | − | 0.127218i | ||||
\(886\) | 30.8372 | 1.03599 | ||||||||
\(887\) | 33.8205 | − | 9.06218i | 1.13558 | − | 0.304278i | 0.358408 | − | 0.933565i | \(-0.383320\pi\) |
0.777173 | + | 0.629287i | \(0.216653\pi\) | |||||||
\(888\) | −1.85641 | − | 1.85641i | −0.0622969 | − | 0.0622969i | ||||
\(889\) | −17.9737 | − | 37.0263i | −0.602819 | − | 1.24182i | ||||
\(890\) | 21.0788 | + | 4.31347i | 0.706564 | + | 0.144588i | ||||
\(891\) | −15.7583 | − | 9.09808i | −0.527924 | − | 0.304797i | ||||
\(892\) | −16.1962 | + | 4.33975i | −0.542287 | + | 0.145305i | ||||
\(893\) | −30.5885 | − | 8.19615i | −1.02360 | − | 0.274274i | ||||
\(894\) | 3.38526 | − | 1.95448i | 0.113220 | − | 0.0653677i | ||||
\(895\) | 48.1051 | + | 24.0526i | 1.60798 | + | 0.803988i | ||||
\(896\) | −16.7846 | + | 24.7846i | −0.560734 | + | 0.827996i | ||||
\(897\) | −9.00000 | + | 9.00000i | −0.300501 | + | 0.300501i | ||||
\(898\) | 17.4904 | + | 4.68653i | 0.583662 | + | 0.156392i | ||||
\(899\) | 0.418584 | − | 0.241670i | 0.0139606 | − | 0.00806014i | ||||
\(900\) | −27.1244 | + | 3.26795i | −0.904145 | + | 0.108932i | ||||
\(901\) | −24.5885 | + | 42.5885i | −0.819160 | + | 1.41883i | ||||
\(902\) | −24.1244 | + | 6.46410i | −0.803253 | + | 0.215231i | ||||
\(903\) | 1.20577 | − | 0.232051i | 0.0401256 | − | 0.00772217i | ||||
\(904\) | 37.8564 | 1.25909 | ||||||||
\(905\) | 42.0167 | − | 27.7417i | 1.39668 | − | 0.922164i | ||||
\(906\) | 17.7128i | 0.588469i | ||||||||
\(907\) | −4.50000 | + | 16.7942i | −0.149420 | + | 0.557643i | 0.850099 | + | 0.526623i | \(0.176542\pi\) |
−0.999519 | + | 0.0310198i | \(0.990124\pi\) | |||||||
\(908\) | −22.7846 | − | 22.7846i | −0.756134 | − | 0.756134i | ||||
\(909\) | − | 38.5885i | − | 1.27990i | ||||||
\(910\) | −24.8038 | − | 25.3923i | −0.822240 | − | 0.841747i | ||||
\(911\) | −2.19615 | −0.0727618 | −0.0363809 | − | 0.999338i | \(-0.511583\pi\) | ||||
−0.0363809 | + | 0.999338i | \(0.511583\pi\) | |||||||
\(912\) | 6.92820 | + | 1.85641i | 0.229416 | + | 0.0614718i | ||||
\(913\) | 28.2224 | + | 7.56218i | 0.934026 | + | 0.250272i | ||||
\(914\) | −0.392305 | −0.0129763 | ||||||||
\(915\) | 4.45448 | + | 0.911543i | 0.147261 | + | 0.0301347i | ||||
\(916\) | −8.53590 | − | 14.7846i | −0.282034 | − | 0.488497i | ||||
\(917\) | −0.928203 | − | 1.07180i | −0.0306520 | − | 0.0353938i | ||||
\(918\) | 17.1962 | − | 4.60770i | 0.567558 | − | 0.152077i | ||||
\(919\) | 39.0000 | + | 22.5167i | 1.28649 | + | 0.742756i | 0.978027 | − | 0.208480i | \(-0.0668515\pi\) |
0.308465 | + | 0.951236i | \(0.400185\pi\) | |||||||
\(920\) | −2.19615 | − | 36.5885i | −0.0724050 | − | 1.20629i | ||||
\(921\) | −7.96410 | − | 13.7942i | −0.262426 | − | 0.454535i | ||||
\(922\) | −14.5885 | + | 54.4449i | −0.480445 | + | 1.79305i | ||||
\(923\) | 25.6077 | + | 25.6077i | 0.842888 | + | 0.842888i | ||||
\(924\) | −6.19615 | − | 4.19615i | −0.203838 | − | 0.138043i | ||||
\(925\) | −1.26795 | + | 8.87564i | −0.0416899 | + | 0.291829i | ||||
\(926\) | 13.5622 | − | 7.83013i | 0.445681 | − | 0.257314i | ||||
\(927\) | 3.90192 | − | 14.5622i | 0.128156 | − | 0.478285i | ||||
\(928\) | 13.4641 | − | 3.60770i | 0.441981 | − | 0.118428i | ||||
\(929\) | −13.1603 | + | 22.7942i | −0.431774 | + | 0.747854i | −0.997026 | − | 0.0770637i | \(-0.975446\pi\) |
0.565252 | + | 0.824918i | \(0.308779\pi\) | |||||||
\(930\) | 0.267949 | − | 0.176915i | 0.00878640 | − | 0.00580126i | ||||
\(931\) | 9.00000 | + | 22.5167i | 0.294963 | + | 0.737954i | ||||
\(932\) | 14.1962 | + | 3.80385i | 0.465010 | + | 0.124599i | ||||
\(933\) | −1.48334 | − | 5.53590i | −0.0485624 | − | 0.181237i | ||||
\(934\) | 15.1244 | 0.494884 | ||||||||
\(935\) | −19.3923 | − | 17.1962i | −0.634196 | − | 0.562374i | ||||
\(936\) | 28.3923 | + | 16.3923i | 0.928032 | + | 0.535799i | ||||
\(937\) | 20.3923 | + | 20.3923i | 0.666188 | + | 0.666188i | 0.956831 | − | 0.290644i | \(-0.0938695\pi\) |
−0.290644 | + | 0.956831i | \(0.593869\pi\) | |||||||
\(938\) | −23.3205 | + | 20.1962i | −0.761442 | + | 0.659428i | ||||
\(939\) | −16.2487 | −0.530257 | ||||||||
\(940\) | −38.7846 | + | 12.9282i | −1.26501 | + | 0.421671i | ||||
\(941\) | −6.26795 | − | 10.8564i | −0.204329 | − | 0.353909i | 0.745590 | − | 0.666405i | \(-0.232168\pi\) |
−0.949919 | + | 0.312497i | \(0.898835\pi\) | |||||||
\(942\) | 4.05256 | + | 4.05256i | 0.132040 | + | 0.132040i | ||||
\(943\) | −9.69615 | − | 36.1865i | −0.315750 | − | 1.17840i | ||||
\(944\) | −17.0718 | − | 9.85641i | −0.555640 | − | 0.320799i | ||||
\(945\) | −15.0981 | − | 8.95448i | −0.491140 | − | 0.291289i | ||||
\(946\) | 3.00000 | + | 1.73205i | 0.0975384 | + | 0.0563138i | ||||
\(947\) | −51.0167 | + | 13.6699i | −1.65782 | + | 0.444211i | −0.961787 | − | 0.273800i | \(-0.911719\pi\) |
−0.696032 | + | 0.718011i | \(0.745053\pi\) | |||||||
\(948\) | 0.928203 | − | 0.248711i | 0.0301466 | − | 0.00807777i | ||||
\(949\) | −23.7846 | − | 41.1962i | −0.772081 | − | 1.33728i | ||||
\(950\) | −9.12436 | − | 22.7321i | −0.296033 | − | 0.737525i | ||||
\(951\) | − | 5.26795i | − | 0.170825i | ||||||
\(952\) | −31.1769 | + | 6.00000i | −1.01045 | + | 0.194461i | ||||
\(953\) | −3.46410 | − | 3.46410i | −0.112213 | − | 0.112213i | 0.648771 | − | 0.760984i | \(-0.275283\pi\) |
−0.760984 | + | 0.648771i | \(0.775283\pi\) | |||||||
\(954\) | −38.7846 | + | 22.3923i | −1.25570 | + | 0.724978i | ||||
\(955\) | −2.83013 | − | 47.1506i | −0.0915808 | − | 1.52576i | ||||
\(956\) | −1.26795 | + | 2.19615i | −0.0410084 | + | 0.0710286i | ||||
\(957\) | 0.901924 | + | 3.36603i | 0.0291551 | + | 0.108808i | ||||
\(958\) | 19.3923 | − | 5.19615i | 0.626537 | − | 0.167880i | ||||
\(959\) | 12.5885 | − | 18.5885i | 0.406502 | − | 0.600253i | ||||
\(960\) | 8.78461 | − | 2.92820i | 0.283522 | − | 0.0945074i | ||||
\(961\) | −15.4808 | + | 26.8135i | −0.499379 | + | 0.864951i | ||||
\(962\) | 7.60770 | − | 7.60770i | 0.245282 | − | 0.245282i | ||||
\(963\) | 33.9545 | + | 9.09808i | 1.09417 | + | 0.293181i | ||||
\(964\) | 0.784610 | 0.0252706 | ||||||||
\(965\) | −1.53590 | − | 4.60770i | −0.0494423 | − | 0.148327i | ||||
\(966\) | 6.29423 | − | 9.29423i | 0.202513 | − | 0.299037i | ||||
\(967\) | −36.4904 | + | 36.4904i | −1.17345 | + | 1.17345i | −0.192070 | + | 0.981381i | \(0.561520\pi\) |
−0.981381 | + | 0.192070i | \(0.938480\pi\) | |||||||
\(968\) | 2.58846 | + | 9.66025i | 0.0831962 | + | 0.310492i | ||||
\(969\) | 3.80385 | + | 6.58846i | 0.122197 | + | 0.211652i | ||||
\(970\) | 19.4641 | − | 38.9282i | 0.624955 | − | 1.24991i | ||||
\(971\) | 10.0000 | − | 17.3205i | 0.320915 | − | 0.555842i | −0.659762 | − | 0.751475i | \(-0.729343\pi\) |
0.980677 | + | 0.195633i | \(0.0626762\pi\) | |||||||
\(972\) | 23.8564 | + | 6.39230i | 0.765195 | + | 0.205033i | ||||
\(973\) | −11.8301 | − | 4.09808i | −0.379256 | − | 0.131378i | ||||
\(974\) | 0.0717968 | − | 0.124356i | 0.00230052 | − | 0.00398461i | ||||
\(975\) | 1.31347 | + | 10.9019i | 0.0420646 | + | 0.349141i | ||||
\(976\) | 15.7128 | 0.502955 | ||||||||
\(977\) | −3.63397 | − | 0.973721i | −0.116261 | − | 0.0311521i | 0.200219 | − | 0.979751i | \(-0.435835\pi\) |
−0.316481 | + | 0.948599i | \(0.602501\pi\) | |||||||
\(978\) | 3.92820 | − | 14.6603i | 0.125610 | − | 0.468783i | ||||
\(979\) | 18.5885i | 0.594090i | ||||||||
\(980\) | 25.7128 | + | 17.8564i | 0.821366 | + | 0.570402i | ||||
\(981\) | − | 21.1244i | − | 0.674449i | ||||||
\(982\) | −2.46410 | − | 0.660254i | −0.0786326 | − | 0.0210696i | ||||
\(983\) | 32.7224 | + | 8.76795i | 1.04368 | + | 0.279654i | 0.739639 | − | 0.673004i | \(-0.234996\pi\) |
0.304044 | + | 0.952658i | \(0.401663\pi\) | |||||||
\(984\) | 8.19615 | − | 4.73205i | 0.261284 | − | 0.150852i | ||||
\(985\) | 38.6147 | + | 7.90192i | 1.23037 | + | 0.251776i | ||||
\(986\) | 12.8038 | + | 7.39230i | 0.407758 | + | 0.235419i | ||||
\(987\) | −11.8301 | − | 4.09808i | −0.376557 | − | 0.130443i | ||||
\(988\) | −7.60770 | + | 28.3923i | −0.242033 | + | 0.903280i | ||||
\(989\) | −2.59808 | + | 4.50000i | −0.0826140 | + | 0.143092i | ||||
\(990\) | −7.46410 | − | 22.3923i | −0.237225 | − | 0.711674i | ||||
\(991\) | 18.6865 | + | 32.3660i | 0.593597 | + | 1.02814i | 0.993743 | + | 0.111689i | \(0.0356261\pi\) |
−0.400146 | + | 0.916451i | \(0.631041\pi\) | |||||||
\(992\) | 0.784610 | − | 0.784610i | 0.0249114 | − | 0.0249114i | ||||
\(993\) | −3.92820 | + | 3.92820i | −0.124658 | + | 0.124658i | ||||
\(994\) | −26.4449 | − | 17.9090i | −0.838780 | − | 0.568038i | ||||
\(995\) | −6.92820 | − | 3.46410i | −0.219639 | − | 0.109819i | ||||
\(996\) | −11.0718 | −0.350823 | ||||||||
\(997\) | −3.00000 | − | 0.803848i | −0.0950110 | − | 0.0254581i | 0.211000 | − | 0.977486i | \(-0.432328\pi\) |
−0.306011 | + | 0.952028i | \(0.598995\pi\) | |||||||
\(998\) | 31.5167 | + | 31.5167i | 0.997642 | + | 0.997642i | ||||
\(999\) | 2.66025 | − | 4.60770i | 0.0841667 | − | 0.145781i |
(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 | 280.2.bv.c.173.1 | yes | 4 | |
5.2 | odd | 4 | 280.2.bv.b.117.1 | yes | 4 | ||
7.3 | odd | 6 | 280.2.bv.a.213.1 | yes | 4 | ||
8.5 | even | 2 | 280.2.bv.d.173.1 | yes | 4 | ||
35.17 | even | 12 | 280.2.bv.d.157.1 | yes | 4 | ||
40.37 | odd | 4 | 280.2.bv.a.117.1 | ✓ | 4 | ||
56.45 | odd | 6 | 280.2.bv.b.213.1 | yes | 4 | ||
280.157 | even | 12 | inner | 280.2.bv.c.157.1 | yes | 4 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
280.2.bv.a.117.1 | ✓ | 4 | 40.37 | odd | 4 | ||
280.2.bv.a.213.1 | yes | 4 | 7.3 | odd | 6 | ||
280.2.bv.b.117.1 | yes | 4 | 5.2 | odd | 4 | ||
280.2.bv.b.213.1 | yes | 4 | 56.45 | odd | 6 | ||
280.2.bv.c.157.1 | yes | 4 | 280.157 | even | 12 | inner | |
280.2.bv.c.173.1 | yes | 4 | 1.1 | even | 1 | trivial | |
280.2.bv.d.157.1 | yes | 4 | 35.17 | even | 12 | ||
280.2.bv.d.173.1 | yes | 4 | 8.5 | even | 2 |