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: | \(1\) |
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.a.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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.00000 | − | 1.00000i | −0.707107 | − | 0.707107i | ||||
\(3\) | −0.500000 | + | 1.86603i | −0.288675 | + | 1.07735i | 0.657437 | + | 0.753510i | \(0.271641\pi\) |
−0.946112 | + | 0.323840i | \(0.895026\pi\) | |||||||
\(4\) | 2.00000i | 1.00000i | ||||||||
\(5\) | −1.86603 | + | 1.23205i | −0.834512 | + | 0.550990i | ||||
\(6\) | 2.36603 | − | 1.36603i | 0.965926 | − | 0.557678i | ||||
\(7\) | −2.50000 | − | 0.866025i | −0.944911 | − | 0.327327i | ||||
\(8\) | 2.00000 | − | 2.00000i | 0.707107 | − | 0.707107i | ||||
\(9\) | −0.633975 | − | 0.366025i | −0.211325 | − | 0.122008i | ||||
\(10\) | 3.09808 | + | 0.633975i | 0.979698 | + | 0.200480i | ||||
\(11\) | 0.633975 | − | 0.366025i | 0.191151 | − | 0.110361i | −0.401371 | − | 0.915916i | \(-0.631466\pi\) |
0.592521 | + | 0.805555i | \(0.298133\pi\) | |||||||
\(12\) | −3.73205 | − | 1.00000i | −1.07735 | − | 0.288675i | ||||
\(13\) | −3.00000 | − | 3.00000i | −0.832050 | − | 0.832050i | 0.155747 | − | 0.987797i | \(-0.450222\pi\) |
−0.987797 | + | 0.155747i | \(0.950222\pi\) | |||||||
\(14\) | 1.63397 | + | 3.36603i | 0.436698 | + | 0.899608i | ||||
\(15\) | −1.36603 | − | 4.09808i | −0.352706 | − | 1.05812i | ||||
\(16\) | −4.00000 | −1.00000 | ||||||||
\(17\) | 1.09808 | − | 4.09808i | 0.266323 | − | 0.993929i | −0.695113 | − | 0.718900i | \(-0.744646\pi\) |
0.961436 | − | 0.275029i | \(-0.0886875\pi\) | |||||||
\(18\) | 0.267949 | + | 1.00000i | 0.0631562 | + | 0.235702i | ||||
\(19\) | −3.00000 | − | 1.73205i | −0.688247 | − | 0.397360i | 0.114708 | − | 0.993399i | \(-0.463407\pi\) |
−0.802955 | + | 0.596040i | \(0.796740\pi\) | |||||||
\(20\) | −2.46410 | − | 3.73205i | −0.550990 | − | 0.834512i | ||||
\(21\) | 2.86603 | − | 4.23205i | 0.625418 | − | 0.923509i | ||||
\(22\) | −1.00000 | − | 0.267949i | −0.213201 | − | 0.0571270i | ||||
\(23\) | −1.50000 | + | 0.401924i | −0.312772 | + | 0.0838069i | −0.411790 | − | 0.911279i | \(-0.635096\pi\) |
0.0990186 | + | 0.995086i | \(0.468430\pi\) | |||||||
\(24\) | 2.73205 | + | 4.73205i | 0.557678 | + | 0.965926i | ||||
\(25\) | 1.96410 | − | 4.59808i | 0.392820 | − | 0.919615i | ||||
\(26\) | 6.00000i | 1.17670i | ||||||||
\(27\) | −3.09808 | + | 3.09808i | −0.596225 | + | 0.596225i | ||||
\(28\) | 1.73205 | − | 5.00000i | 0.327327 | − | 0.944911i | ||||
\(29\) | 4.46410 | 0.828963 | 0.414481 | − | 0.910058i | \(-0.363963\pi\) | ||||
0.414481 | + | 0.910058i | \(0.363963\pi\) | |||||||
\(30\) | −2.73205 | + | 5.46410i | −0.498802 | + | 0.997604i | ||||
\(31\) | −8.83013 | + | 5.09808i | −1.58594 | + | 0.915642i | −0.591971 | + | 0.805959i | \(0.701650\pi\) |
−0.993967 | + | 0.109682i | \(0.965017\pi\) | |||||||
\(32\) | 4.00000 | + | 4.00000i | 0.707107 | + | 0.707107i | ||||
\(33\) | 0.366025 | + | 1.36603i | 0.0637168 | + | 0.237795i | ||||
\(34\) | −5.19615 | + | 3.00000i | −0.891133 | + | 0.514496i | ||||
\(35\) | 5.73205 | − | 1.46410i | 0.968893 | − | 0.247478i | ||||
\(36\) | 0.732051 | − | 1.26795i | 0.122008 | − | 0.211325i | ||||
\(37\) | −6.46410 | + | 1.73205i | −1.06269 | + | 0.284747i | −0.747487 | − | 0.664276i | \(-0.768740\pi\) |
−0.315205 | + | 0.949024i | \(0.602073\pi\) | |||||||
\(38\) | 1.26795 | + | 4.73205i | 0.205689 | + | 0.767640i | ||||
\(39\) | 7.09808 | − | 4.09808i | 1.13660 | − | 0.656217i | ||||
\(40\) | −1.26795 | + | 6.19615i | −0.200480 | + | 0.979698i | ||||
\(41\) | − | 0.464102i | − | 0.0724805i | −0.999343 | − | 0.0362402i | \(-0.988462\pi\) | ||
0.999343 | − | 0.0362402i | \(-0.0115382\pi\) | |||||||
\(42\) | −7.09808 | + | 1.36603i | −1.09526 | + | 0.210782i | ||||
\(43\) | −2.36603 | + | 2.36603i | −0.360815 | + | 0.360815i | −0.864113 | − | 0.503298i | \(-0.832120\pi\) |
0.503298 | + | 0.864113i | \(0.332120\pi\) | |||||||
\(44\) | 0.732051 | + | 1.26795i | 0.110361 | + | 0.191151i | ||||
\(45\) | 1.63397 | − | 0.0980762i | 0.243579 | − | 0.0146203i | ||||
\(46\) | 1.90192 | + | 1.09808i | 0.280423 | + | 0.161903i | ||||
\(47\) | 0.633975 | − | 0.169873i | 0.0924747 | − | 0.0247785i | −0.212285 | − | 0.977208i | \(-0.568091\pi\) |
0.304760 | + | 0.952429i | \(0.401424\pi\) | |||||||
\(48\) | 2.00000 | − | 7.46410i | 0.288675 | − | 1.07735i | ||||
\(49\) | 5.50000 | + | 4.33013i | 0.785714 | + | 0.618590i | ||||
\(50\) | −6.56218 | + | 2.63397i | −0.928032 | + | 0.372500i | ||||
\(51\) | 7.09808 | + | 4.09808i | 0.993929 | + | 0.573845i | ||||
\(52\) | 6.00000 | − | 6.00000i | 0.832050 | − | 0.832050i | ||||
\(53\) | −3.00000 | − | 0.803848i | −0.412082 | − | 0.110417i | 0.0468214 | − | 0.998903i | \(-0.485091\pi\) |
−0.458903 | + | 0.888486i | \(0.651757\pi\) | |||||||
\(54\) | 6.19615 | 0.843190 | ||||||||
\(55\) | −0.732051 | + | 1.46410i | −0.0987097 | + | 0.197419i | ||||
\(56\) | −6.73205 | + | 3.26795i | −0.899608 | + | 0.436698i | ||||
\(57\) | 4.73205 | − | 4.73205i | 0.626775 | − | 0.626775i | ||||
\(58\) | −4.46410 | − | 4.46410i | −0.586165 | − | 0.586165i | ||||
\(59\) | −7.73205 | + | 4.46410i | −1.00663 | + | 0.581177i | −0.910202 | − | 0.414164i | \(-0.864074\pi\) |
−0.0964249 | + | 0.995340i | \(0.530741\pi\) | |||||||
\(60\) | 8.19615 | − | 2.73205i | 1.05812 | − | 0.352706i | ||||
\(61\) | 4.96410 | − | 8.59808i | 0.635588 | − | 1.10087i | −0.350802 | − | 0.936450i | \(-0.614091\pi\) |
0.986390 | − | 0.164421i | \(-0.0525756\pi\) | |||||||
\(62\) | 13.9282 | + | 3.73205i | 1.76888 | + | 0.473971i | ||||
\(63\) | 1.26795 | + | 1.46410i | 0.159747 | + | 0.184459i | ||||
\(64\) | − | 8.00000i | − | 1.00000i | ||||||
\(65\) | 9.29423 | + | 1.90192i | 1.15281 | + | 0.235905i | ||||
\(66\) | 1.00000 | − | 1.73205i | 0.123091 | − | 0.213201i | ||||
\(67\) | −1.03590 | + | 3.86603i | −0.126555 | + | 0.472310i | −0.999890 | − | 0.0148095i | \(-0.995286\pi\) |
0.873335 | + | 0.487120i | \(0.161952\pi\) | |||||||
\(68\) | 8.19615 | + | 2.19615i | 0.993929 | + | 0.266323i | ||||
\(69\) | − | 3.00000i | − | 0.361158i | ||||||
\(70\) | −7.19615 | − | 4.26795i | −0.860105 | − | 0.510117i | ||||
\(71\) | 15.4641 | 1.83525 | 0.917626 | − | 0.397446i | \(-0.130103\pi\) | ||||
0.917626 | + | 0.397446i | \(0.130103\pi\) | |||||||
\(72\) | −2.00000 | + | 0.535898i | −0.235702 | + | 0.0631562i | ||||
\(73\) | −8.09808 | − | 2.16987i | −0.947808 | − | 0.253964i | −0.248376 | − | 0.968664i | \(-0.579897\pi\) |
−0.699432 | + | 0.714699i | \(0.746564\pi\) | |||||||
\(74\) | 8.19615 | + | 4.73205i | 0.952783 | + | 0.550090i | ||||
\(75\) | 7.59808 | + | 5.96410i | 0.877350 | + | 0.688675i | ||||
\(76\) | 3.46410 | − | 6.00000i | 0.397360 | − | 0.688247i | ||||
\(77\) | −1.90192 | + | 0.366025i | −0.216744 | + | 0.0417125i | ||||
\(78\) | −11.1962 | − | 3.00000i | −1.26771 | − | 0.339683i | ||||
\(79\) | −11.1962 | − | 6.46410i | −1.25967 | − | 0.727268i | −0.286656 | − | 0.958034i | \(-0.592544\pi\) |
−0.973009 | + | 0.230765i | \(0.925877\pi\) | |||||||
\(80\) | 7.46410 | − | 4.92820i | 0.834512 | − | 0.550990i | ||||
\(81\) | −5.33013 | − | 9.23205i | −0.592236 | − | 1.02578i | ||||
\(82\) | −0.464102 | + | 0.464102i | −0.0512514 | + | 0.0512514i | ||||
\(83\) | −4.56218 | − | 4.56218i | −0.500764 | − | 0.500764i | 0.410911 | − | 0.911675i | \(-0.365211\pi\) |
−0.911675 | + | 0.410911i | \(0.865211\pi\) | |||||||
\(84\) | 8.46410 | + | 5.73205i | 0.923509 | + | 0.625418i | ||||
\(85\) | 3.00000 | + | 9.00000i | 0.325396 | + | 0.976187i | ||||
\(86\) | 4.73205 | 0.510270 | ||||||||
\(87\) | −2.23205 | + | 8.33013i | −0.239301 | + | 0.893083i | ||||
\(88\) | 0.535898 | − | 2.00000i | 0.0571270 | − | 0.213201i | ||||
\(89\) | −8.59808 | + | 14.8923i | −0.911394 | + | 1.57858i | −0.0992979 | + | 0.995058i | \(0.531660\pi\) |
−0.812096 | + | 0.583523i | \(0.801674\pi\) | |||||||
\(90\) | −1.73205 | − | 1.53590i | −0.182574 | − | 0.161898i | ||||
\(91\) | 4.90192 | + | 10.0981i | 0.513861 | + | 1.05857i | ||||
\(92\) | −0.803848 | − | 3.00000i | −0.0838069 | − | 0.312772i | ||||
\(93\) | −5.09808 | − | 19.0263i | −0.528646 | − | 1.97293i | ||||
\(94\) | −0.803848 | − | 0.464102i | −0.0829105 | − | 0.0478684i | ||||
\(95\) | 7.73205 | − | 0.464102i | 0.793292 | − | 0.0476158i | ||||
\(96\) | −9.46410 | + | 5.46410i | −0.965926 | + | 0.557678i | ||||
\(97\) | 6.26795 | + | 6.26795i | 0.636414 | + | 0.636414i | 0.949669 | − | 0.313255i | \(-0.101420\pi\) |
−0.313255 | + | 0.949669i | \(0.601420\pi\) | |||||||
\(98\) | −1.16987 | − | 9.83013i | −0.118175 | − | 0.992993i | ||||
\(99\) | −0.535898 | −0.0538598 | ||||||||
\(100\) | 9.19615 | + | 3.92820i | 0.919615 | + | 0.392820i | ||||
\(101\) | −5.06218 | − | 8.76795i | −0.503706 | − | 0.872444i | −0.999991 | − | 0.00428406i | \(-0.998636\pi\) |
0.496285 | − | 0.868159i | \(-0.334697\pi\) | |||||||
\(102\) | −3.00000 | − | 11.1962i | −0.297044 | − | 1.10858i | ||||
\(103\) | 3.33013 | + | 12.4282i | 0.328127 | + | 1.22459i | 0.911131 | + | 0.412118i | \(0.135211\pi\) |
−0.583003 | + | 0.812470i | \(0.698123\pi\) | |||||||
\(104\) | −12.0000 | −1.17670 | ||||||||
\(105\) | −0.133975 | + | 11.4282i | −0.0130746 | + | 1.11528i | ||||
\(106\) | 2.19615 | + | 3.80385i | 0.213309 | + | 0.369462i | ||||
\(107\) | 5.33013 | − | 1.42820i | 0.515283 | − | 0.138070i | 0.00819905 | − | 0.999966i | \(-0.497390\pi\) |
0.507084 | + | 0.861897i | \(0.330723\pi\) | |||||||
\(108\) | −6.19615 | − | 6.19615i | −0.596225 | − | 0.596225i | ||||
\(109\) | −2.13397 | − | 3.69615i | −0.204398 | − | 0.354027i | 0.745543 | − | 0.666458i | \(-0.232190\pi\) |
−0.949941 | + | 0.312430i | \(0.898857\pi\) | |||||||
\(110\) | 2.19615 | − | 0.732051i | 0.209395 | − | 0.0697983i | ||||
\(111\) | − | 12.9282i | − | 1.22709i | ||||||
\(112\) | 10.0000 | + | 3.46410i | 0.944911 | + | 0.327327i | ||||
\(113\) | 2.53590 | + | 2.53590i | 0.238557 | + | 0.238557i | 0.816253 | − | 0.577695i | \(-0.196048\pi\) |
−0.577695 | + | 0.816253i | \(0.696048\pi\) | |||||||
\(114\) | −9.46410 | −0.886394 | ||||||||
\(115\) | 2.30385 | − | 2.59808i | 0.214835 | − | 0.242272i | ||||
\(116\) | 8.92820i | 0.828963i | ||||||||
\(117\) | 0.803848 | + | 3.00000i | 0.0743157 | + | 0.277350i | ||||
\(118\) | 12.1962 | + | 3.26795i | 1.12275 | + | 0.300839i | ||||
\(119\) | −6.29423 | + | 9.29423i | −0.576991 | + | 0.852001i | ||||
\(120\) | −10.9282 | − | 5.46410i | −0.997604 | − | 0.498802i | ||||
\(121\) | −5.23205 | + | 9.06218i | −0.475641 | + | 0.823834i | ||||
\(122\) | −13.5622 | + | 3.63397i | −1.22786 | + | 0.329005i | ||||
\(123\) | 0.866025 | + | 0.232051i | 0.0780869 | + | 0.0209233i | ||||
\(124\) | −10.1962 | − | 17.6603i | −0.915642 | − | 1.58594i | ||||
\(125\) | 2.00000 | + | 11.0000i | 0.178885 | + | 0.983870i | ||||
\(126\) | 0.196152 | − | 2.73205i | 0.0174746 | − | 0.243390i | ||||
\(127\) | −11.0000 | + | 11.0000i | −0.976092 | + | 0.976092i | −0.999721 | − | 0.0236286i | \(-0.992478\pi\) |
0.0236286 | + | 0.999721i | \(0.492478\pi\) | |||||||
\(128\) | −8.00000 | + | 8.00000i | −0.707107 | + | 0.707107i | ||||
\(129\) | −3.23205 | − | 5.59808i | −0.284566 | − | 0.492883i | ||||
\(130\) | −7.39230 | − | 11.1962i | −0.648348 | − | 0.981968i | ||||
\(131\) | 3.73205 | − | 6.46410i | 0.326071 | − | 0.564771i | −0.655658 | − | 0.755058i | \(-0.727609\pi\) |
0.981728 | + | 0.190287i | \(0.0609419\pi\) | |||||||
\(132\) | −2.73205 | + | 0.732051i | −0.237795 | + | 0.0637168i | ||||
\(133\) | 6.00000 | + | 6.92820i | 0.520266 | + | 0.600751i | ||||
\(134\) | 4.90192 | − | 2.83013i | 0.423462 | − | 0.244486i | ||||
\(135\) | 1.96410 | − | 9.59808i | 0.169043 | − | 0.826071i | ||||
\(136\) | −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 | \(0.701401\pi\) | |||||||
\(138\) | −3.00000 | + | 3.00000i | −0.255377 | + | 0.255377i | ||||
\(139\) | − | 1.26795i | − | 0.107546i | −0.998553 | − | 0.0537730i | \(-0.982875\pi\) | ||
0.998553 | − | 0.0537730i | \(-0.0171247\pi\) | |||||||
\(140\) | 2.92820 | + | 11.4641i | 0.247478 | + | 0.968893i | ||||
\(141\) | 1.26795i | 0.106781i | ||||||||
\(142\) | −15.4641 | − | 15.4641i | −1.29772 | − | 1.29772i | ||||
\(143\) | −3.00000 | − | 0.803848i | −0.250873 | − | 0.0672211i | ||||
\(144\) | 2.53590 | + | 1.46410i | 0.211325 | + | 0.122008i | ||||
\(145\) | −8.33013 | + | 5.50000i | −0.691779 | + | 0.456750i | ||||
\(146\) | 5.92820 | + | 10.2679i | 0.490622 | + | 0.849782i | ||||
\(147\) | −10.8301 | + | 8.09808i | −0.893254 | + | 0.667918i | ||||
\(148\) | −3.46410 | − | 12.9282i | −0.284747 | − | 1.06269i | ||||
\(149\) | −11.3301 | + | 19.6244i | −0.928200 | + | 1.60769i | −0.141868 | + | 0.989886i | \(0.545311\pi\) |
−0.786332 | + | 0.617804i | \(0.788022\pi\) | |||||||
\(150\) | −1.63397 | − | 13.5622i | −0.133413 | − | 1.10735i | ||||
\(151\) | −6.90192 | − | 11.9545i | −0.561671 | − | 0.972842i | −0.997351 | − | 0.0727405i | \(-0.976826\pi\) |
0.435680 | − | 0.900101i | \(-0.356508\pi\) | |||||||
\(152\) | −9.46410 | + | 2.53590i | −0.767640 | + | 0.205689i | ||||
\(153\) | −2.19615 | + | 2.19615i | −0.177548 | + | 0.177548i | ||||
\(154\) | 2.26795 | + | 1.53590i | 0.182757 | + | 0.123766i | ||||
\(155\) | 10.1962 | − | 20.3923i | 0.818975 | − | 1.63795i | ||||
\(156\) | 8.19615 | + | 14.1962i | 0.656217 | + | 1.13660i | ||||
\(157\) | 17.0263 | + | 4.56218i | 1.35885 | + | 0.364101i | 0.863392 | − | 0.504533i | \(-0.168335\pi\) |
0.495453 | + | 0.868635i | \(0.335002\pi\) | |||||||
\(158\) | 4.73205 | + | 17.6603i | 0.376462 | + | 1.40497i | ||||
\(159\) | 3.00000 | − | 5.19615i | 0.237915 | − | 0.412082i | ||||
\(160\) | −12.3923 | − | 2.53590i | −0.979698 | − | 0.200480i | ||||
\(161\) | 4.09808 | + | 0.294229i | 0.322974 | + | 0.0231885i | ||||
\(162\) | −3.90192 | + | 14.5622i | −0.306564 | + | 1.14411i | ||||
\(163\) | −0.973721 | − | 3.63397i | −0.0762677 | − | 0.284635i | 0.917250 | − | 0.398312i | \(-0.130404\pi\) |
−0.993518 | + | 0.113677i | \(0.963737\pi\) | |||||||
\(164\) | 0.928203 | 0.0724805 | ||||||||
\(165\) | −2.36603 | − | 2.09808i | −0.184195 | − | 0.163335i | ||||
\(166\) | 9.12436i | 0.708187i | ||||||||
\(167\) | 3.29423 | + | 3.29423i | 0.254915 | + | 0.254915i | 0.822982 | − | 0.568067i | \(-0.192309\pi\) |
−0.568067 | + | 0.822982i | \(0.692309\pi\) | |||||||
\(168\) | −2.73205 | − | 14.1962i | −0.210782 | − | 1.09526i | ||||
\(169\) | 5.00000i | 0.384615i | ||||||||
\(170\) | 6.00000 | − | 12.0000i | 0.460179 | − | 0.920358i | ||||
\(171\) | 1.26795 | + | 2.19615i | 0.0969625 | + | 0.167944i | ||||
\(172\) | −4.73205 | − | 4.73205i | −0.360815 | − | 0.360815i | ||||
\(173\) | 0.464102 | − | 0.124356i | 0.0352850 | − | 0.00945459i | −0.241133 | − | 0.970492i | \(-0.577519\pi\) |
0.276418 | + | 0.961037i | \(0.410852\pi\) | |||||||
\(174\) | 10.5622 | − | 6.09808i | 0.800717 | − | 0.462294i | ||||
\(175\) | −8.89230 | + | 9.79423i | −0.672195 | + | 0.740374i | ||||
\(176\) | −2.53590 | + | 1.46410i | −0.191151 | + | 0.110361i | ||||
\(177\) | −4.46410 | − | 16.6603i | −0.335542 | − | 1.25226i | ||||
\(178\) | 23.4904 | − | 6.29423i | 1.76068 | − | 0.471772i | ||||
\(179\) | −7.02628 | − | 12.1699i | −0.525169 | − | 0.909619i | −0.999570 | − | 0.0293105i | \(-0.990669\pi\) |
0.474402 | − | 0.880309i | \(-0.342664\pi\) | |||||||
\(180\) | 0.196152 | + | 3.26795i | 0.0146203 | + | 0.243579i | ||||
\(181\) | 22.5167 | 1.67365 | 0.836825 | − | 0.547470i | \(-0.184409\pi\) | ||||
0.836825 | + | 0.547470i | \(0.184409\pi\) | |||||||
\(182\) | 5.19615 | − | 15.0000i | 0.385164 | − | 1.11187i | ||||
\(183\) | 13.5622 | + | 13.5622i | 1.00255 | + | 1.00255i | ||||
\(184\) | −2.19615 | + | 3.80385i | −0.161903 | + | 0.280423i | ||||
\(185\) | 9.92820 | − | 11.1962i | 0.729936 | − | 0.823157i | ||||
\(186\) | −13.9282 | + | 24.1244i | −1.02127 | + | 1.76888i | ||||
\(187\) | −0.803848 | − | 3.00000i | −0.0587832 | − | 0.219382i | ||||
\(188\) | 0.339746 | + | 1.26795i | 0.0247785 | + | 0.0924747i | ||||
\(189\) | 10.4282 | − | 5.06218i | 0.758540 | − | 0.368219i | ||||
\(190\) | −8.19615 | − | 7.26795i | −0.594611 | − | 0.527272i | ||||
\(191\) | −1.56218 | + | 2.70577i | −0.113035 | + | 0.195783i | −0.916993 | − | 0.398904i | \(-0.869391\pi\) |
0.803957 | + | 0.594687i | \(0.202724\pi\) | |||||||
\(192\) | 14.9282 | + | 4.00000i | 1.07735 | + | 0.288675i | ||||
\(193\) | 3.09808 | − | 11.5622i | 0.223004 | − | 0.832264i | −0.760190 | − | 0.649701i | \(-0.774894\pi\) |
0.983194 | − | 0.182563i | \(-0.0584393\pi\) | |||||||
\(194\) | − | 12.5359i | − | 0.900025i | ||||||
\(195\) | −8.19615 | + | 16.3923i | −0.586939 | + | 1.17388i | ||||
\(196\) | −8.66025 | + | 11.0000i | −0.618590 | + | 0.785714i | ||||
\(197\) | 5.53590 | + | 5.53590i | 0.394416 | + | 0.394416i | 0.876258 | − | 0.481842i | \(-0.160032\pi\) |
−0.481842 | + | 0.876258i | \(0.660032\pi\) | |||||||
\(198\) | 0.535898 | + | 0.535898i | 0.0380846 | + | 0.0380846i | ||||
\(199\) | −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 | ||||
\(201\) | −6.69615 | − | 3.86603i | −0.472310 | − | 0.272688i | ||||
\(202\) | −3.70577 | + | 13.8301i | −0.260737 | + | 0.973084i | ||||
\(203\) | −11.1603 | − | 3.86603i | −0.783296 | − | 0.271342i | ||||
\(204\) | −8.19615 | + | 14.1962i | −0.573845 | + | 0.993929i | ||||
\(205\) | 0.571797 | + | 0.866025i | 0.0399360 | + | 0.0604858i | ||||
\(206\) | 9.09808 | − | 15.7583i | 0.633893 | − | 1.09793i | ||||
\(207\) | 1.09808 | + | 0.294229i | 0.0763216 | + | 0.0204503i | ||||
\(208\) | 12.0000 | + | 12.0000i | 0.832050 | + | 0.832050i | ||||
\(209\) | −2.53590 | −0.175412 | ||||||||
\(210\) | 11.5622 | − | 11.2942i | 0.797866 | − | 0.779376i | ||||
\(211\) | − | 20.5359i | − | 1.41375i | −0.707339 | − | 0.706875i | \(-0.750104\pi\) | ||
0.707339 | − | 0.706875i | \(-0.249896\pi\) | |||||||
\(212\) | 1.60770 | − | 6.00000i | 0.110417 | − | 0.412082i | ||||
\(213\) | −7.73205 | + | 28.8564i | −0.529791 | + | 1.97721i | ||||
\(214\) | −6.75833 | − | 3.90192i | −0.461990 | − | 0.266730i | ||||
\(215\) | 1.50000 | − | 7.33013i | 0.102299 | − | 0.499911i | ||||
\(216\) | 12.3923i | 0.843190i | ||||||||
\(217\) | 26.4904 | − | 5.09808i | 1.79828 | − | 0.346080i | ||||
\(218\) | −1.56218 | + | 5.83013i | −0.105804 | + | 0.394866i | ||||
\(219\) | 8.09808 | − | 14.0263i | 0.547217 | − | 0.947808i | ||||
\(220\) | −2.92820 | − | 1.46410i | −0.197419 | − | 0.0987097i | ||||
\(221\) | −15.5885 | + | 9.00000i | −1.04859 | + | 0.605406i | ||||
\(222\) | −12.9282 | + | 12.9282i | −0.867684 | + | 0.867684i | ||||
\(223\) | 7.92820 | − | 7.92820i | 0.530912 | − | 0.530912i | −0.389932 | − | 0.920844i | \(-0.627501\pi\) |
0.920844 | + | 0.389932i | \(0.127501\pi\) | |||||||
\(224\) | −6.53590 | − | 13.4641i | −0.436698 | − | 0.899608i | ||||
\(225\) | −2.92820 | + | 2.19615i | −0.195214 | + | 0.146410i | ||||
\(226\) | − | 5.07180i | − | 0.337371i | ||||||
\(227\) | 12.8301 | + | 3.43782i | 0.851565 | + | 0.228176i | 0.658100 | − | 0.752931i | \(-0.271361\pi\) |
0.193466 | + | 0.981107i | \(0.438027\pi\) | |||||||
\(228\) | 9.46410 | + | 9.46410i | 0.626775 | + | 0.626775i | ||||
\(229\) | −13.3923 | − | 7.73205i | −0.884988 | − | 0.510948i | −0.0126885 | − | 0.999919i | \(-0.504039\pi\) |
−0.872300 | + | 0.488971i | \(0.837372\pi\) | |||||||
\(230\) | −4.90192 | + | 0.294229i | −0.323223 | + | 0.0194009i | ||||
\(231\) | 0.267949 | − | 3.73205i | 0.0176298 | − | 0.245551i | ||||
\(232\) | 8.92820 | − | 8.92820i | 0.586165 | − | 0.586165i | ||||
\(233\) | 7.09808 | − | 1.90192i | 0.465010 | − | 0.124599i | −0.0187040 | − | 0.999825i | \(-0.505954\pi\) |
0.483714 | + | 0.875226i | \(0.339287\pi\) | |||||||
\(234\) | 2.19615 | − | 3.80385i | 0.143567 | − | 0.248665i | ||||
\(235\) | −0.973721 | + | 1.09808i | −0.0635185 | + | 0.0716306i | ||||
\(236\) | −8.92820 | − | 15.4641i | −0.581177 | − | 1.00663i | ||||
\(237\) | 17.6603 | − | 17.6603i | 1.14716 | − | 1.14716i | ||||
\(238\) | 15.5885 | − | 3.00000i | 1.01045 | − | 0.194461i | ||||
\(239\) | − | 4.73205i | − | 0.306091i | −0.988219 | − | 0.153045i | \(-0.951092\pi\) | ||
0.988219 | − | 0.153045i | \(-0.0489081\pi\) | |||||||
\(240\) | 5.46410 | + | 16.3923i | 0.352706 | + | 1.05812i | ||||
\(241\) | −17.6603 | + | 10.1962i | −1.13760 | + | 0.656792i | −0.945834 | − | 0.324649i | \(-0.894754\pi\) |
−0.191763 | + | 0.981441i | \(0.561420\pi\) | |||||||
\(242\) | 14.2942 | − | 3.83013i | 0.918868 | − | 0.246210i | ||||
\(243\) | 7.19615 | − | 1.92820i | 0.461633 | − | 0.123694i | ||||
\(244\) | 17.1962 | + | 9.92820i | 1.10087 | + | 0.635588i | ||||
\(245\) | −15.5981 | − | 1.30385i | −0.996525 | − | 0.0832998i | ||||
\(246\) | −0.633975 | − | 1.09808i | −0.0404207 | − | 0.0700108i | ||||
\(247\) | 3.80385 | + | 14.1962i | 0.242033 | + | 0.903280i | ||||
\(248\) | −7.46410 | + | 27.8564i | −0.473971 | + | 1.76888i | ||||
\(249\) | 10.7942 | − | 6.23205i | 0.684056 | − | 0.394940i | ||||
\(250\) | 9.00000 | − | 13.0000i | 0.569210 | − | 0.822192i | ||||
\(251\) | −19.6603 | −1.24094 | −0.620472 | − | 0.784229i | \(-0.713059\pi\) | ||||
−0.620472 | + | 0.784229i | \(0.713059\pi\) | |||||||
\(252\) | −2.92820 | + | 2.53590i | −0.184459 | + | 0.159747i | ||||
\(253\) | −0.803848 | + | 0.803848i | −0.0505375 | + | 0.0505375i | ||||
\(254\) | 22.0000 | 1.38040 | ||||||||
\(255\) | −18.2942 | + | 1.09808i | −1.14563 | + | 0.0687642i | ||||
\(256\) | 16.0000 | 1.00000 | ||||||||
\(257\) | 25.8564 | − | 6.92820i | 1.61288 | − | 0.432169i | 0.663980 | − | 0.747751i | \(-0.268866\pi\) |
0.948899 | + | 0.315581i | \(0.102199\pi\) | |||||||
\(258\) | −2.36603 | + | 8.83013i | −0.147302 | + | 0.549740i | ||||
\(259\) | 17.6603 | + | 1.26795i | 1.09735 | + | 0.0787865i | ||||
\(260\) | −3.80385 | + | 18.5885i | −0.235905 | + | 1.15281i | ||||
\(261\) | −2.83013 | − | 1.63397i | −0.175180 | − | 0.101140i | ||||
\(262\) | −10.1962 | + | 2.73205i | −0.629920 | + | 0.168787i | ||||
\(263\) | −0.107695 | + | 0.401924i | −0.00664077 | + | 0.0247837i | −0.969167 | − | 0.246406i | \(-0.920750\pi\) |
0.962526 | + | 0.271190i | \(0.0874170\pi\) | |||||||
\(264\) | 3.46410 | + | 2.00000i | 0.213201 | + | 0.123091i | ||||
\(265\) | 6.58846 | − | 2.19615i | 0.404726 | − | 0.134909i | ||||
\(266\) | 0.928203 | − | 12.9282i | 0.0569118 | − | 0.792679i | ||||
\(267\) | −23.4904 | − | 23.4904i | −1.43759 | − | 1.43759i | ||||
\(268\) | −7.73205 | − | 2.07180i | −0.472310 | − | 0.126555i | ||||
\(269\) | 3.06218 | − | 1.76795i | 0.186704 | − | 0.107794i | −0.403734 | − | 0.914876i | \(-0.632288\pi\) |
0.590439 | + | 0.807082i | \(0.298955\pi\) | |||||||
\(270\) | −11.5622 | + | 7.63397i | −0.703652 | + | 0.464589i | ||||
\(271\) | 10.3923 | + | 6.00000i | 0.631288 | + | 0.364474i | 0.781251 | − | 0.624218i | \(-0.214582\pi\) |
−0.149963 | + | 0.988692i | \(0.547915\pi\) | |||||||
\(272\) | −4.39230 | + | 16.3923i | −0.266323 | + | 0.993929i | ||||
\(273\) | −21.2942 | + | 4.09808i | −1.28879 | + | 0.248027i | ||||
\(274\) | 6.00000 | + | 10.3923i | 0.362473 | + | 0.627822i | ||||
\(275\) | −0.437822 | − | 3.63397i | −0.0264017 | − | 0.219137i | ||||
\(276\) | 6.00000 | 0.361158 | ||||||||
\(277\) | −5.02628 | + | 18.7583i | −0.302000 | + | 1.12708i | 0.633497 | + | 0.773745i | \(0.281619\pi\) |
−0.935497 | + | 0.353334i | \(0.885048\pi\) | |||||||
\(278\) | −1.26795 | + | 1.26795i | −0.0760465 | + | 0.0760465i | ||||
\(279\) | 7.46410 | 0.446864 | ||||||||
\(280\) | 8.53590 | − | 14.3923i | 0.510117 | − | 0.860105i | ||||
\(281\) | −24.2487 | −1.44656 | −0.723278 | − | 0.690557i | \(-0.757366\pi\) | ||||
−0.723278 | + | 0.690557i | \(0.757366\pi\) | |||||||
\(282\) | 1.26795 | − | 1.26795i | 0.0755053 | − | 0.0755053i | ||||
\(283\) | −3.63397 | + | 13.5622i | −0.216017 | + | 0.806188i | 0.769789 | + | 0.638299i | \(0.220362\pi\) |
−0.985806 | + | 0.167889i | \(0.946305\pi\) | |||||||
\(284\) | 30.9282i | 1.83525i | ||||||||
\(285\) | −3.00000 | + | 14.6603i | −0.177705 | + | 0.868399i | ||||
\(286\) | 2.19615 | + | 3.80385i | 0.129861 | + | 0.224926i | ||||
\(287\) | −0.401924 | + | 1.16025i | −0.0237248 | + | 0.0684876i | ||||
\(288\) | −1.07180 | − | 4.00000i | −0.0631562 | − | 0.235702i | ||||
\(289\) | −0.866025 | − | 0.500000i | −0.0509427 | − | 0.0294118i | ||||
\(290\) | 13.8301 | + | 2.83013i | 0.812133 | + | 0.166191i | ||||
\(291\) | −14.8301 | + | 8.56218i | −0.869357 | + | 0.501924i | ||||
\(292\) | 4.33975 | − | 16.1962i | 0.253964 | − | 0.947808i | ||||
\(293\) | 4.19615 | + | 4.19615i | 0.245142 | + | 0.245142i | 0.818973 | − | 0.573832i | \(-0.194544\pi\) |
−0.573832 | + | 0.818973i | \(0.694544\pi\) | |||||||
\(294\) | 18.9282 | + | 2.73205i | 1.10392 | + | 0.159336i | ||||
\(295\) | 8.92820 | − | 17.8564i | 0.519820 | − | 1.03964i | ||||
\(296\) | −9.46410 | + | 16.3923i | −0.550090 | + | 0.952783i | ||||
\(297\) | −0.830127 | + | 3.09808i | −0.0481689 | + | 0.179769i | ||||
\(298\) | 30.9545 | − | 8.29423i | 1.79315 | − | 0.480472i | ||||
\(299\) | 5.70577 | + | 3.29423i | 0.329973 | + | 0.190510i | ||||
\(300\) | −11.9282 | + | 15.1962i | −0.688675 | + | 0.877350i | ||||
\(301\) | 7.96410 | − | 3.86603i | 0.459043 | − | 0.222834i | ||||
\(302\) | −5.05256 | + | 18.8564i | −0.290742 | + | 1.08506i | ||||
\(303\) | 18.8923 | − | 5.06218i | 1.08533 | − | 0.290815i | ||||
\(304\) | 12.0000 | + | 6.92820i | 0.688247 | + | 0.397360i | ||||
\(305\) | 1.33013 | + | 22.1603i | 0.0761629 | + | 1.26889i | ||||
\(306\) | 4.39230 | 0.251091 | ||||||||
\(307\) | −0.758330 | + | 0.758330i | −0.0432802 | + | 0.0432802i | −0.728416 | − | 0.685135i | \(-0.759743\pi\) |
0.685135 | + | 0.728416i | \(0.259743\pi\) | |||||||
\(308\) | −0.732051 | − | 3.80385i | −0.0417125 | − | 0.216744i | ||||
\(309\) | −24.8564 | −1.41403 | ||||||||
\(310\) | −30.5885 | + | 10.1962i | −1.73731 | + | 0.579103i | ||||
\(311\) | 21.5885 | − | 12.4641i | 1.22417 | − | 0.706774i | 0.258365 | − | 0.966047i | \(-0.416816\pi\) |
0.965804 | + | 0.259273i | \(0.0834829\pi\) | |||||||
\(312\) | 6.00000 | − | 22.3923i | 0.339683 | − | 1.26771i | ||||
\(313\) | −4.32051 | − | 16.1244i | −0.244210 | − | 0.911402i | −0.973779 | − | 0.227496i | \(-0.926946\pi\) |
0.729570 | − | 0.683907i | \(-0.239720\pi\) | |||||||
\(314\) | −12.4641 | − | 21.5885i | −0.703390 | − | 1.21831i | ||||
\(315\) | −4.16987 | − | 1.16987i | −0.234946 | − | 0.0659149i | ||||
\(316\) | 12.9282 | − | 22.3923i | 0.727268 | − | 1.25967i | ||||
\(317\) | 4.36603 | − | 1.16987i | 0.245220 | − | 0.0657066i | −0.134115 | − | 0.990966i | \(-0.542819\pi\) |
0.379336 | + | 0.925259i | \(0.376153\pi\) | |||||||
\(318\) | −8.19615 | + | 2.19615i | −0.459617 | + | 0.123154i | ||||
\(319\) | 2.83013 | − | 1.63397i | 0.158457 | − | 0.0914850i | ||||
\(320\) | 9.85641 | + | 14.9282i | 0.550990 | + | 0.834512i | ||||
\(321\) | 10.6603i | 0.594997i | ||||||||
\(322\) | −3.80385 | − | 4.39230i | −0.211980 | − | 0.244774i | ||||
\(323\) | −10.3923 | + | 10.3923i | −0.578243 | + | 0.578243i | ||||
\(324\) | 18.4641 | − | 10.6603i | 1.02578 | − | 0.592236i | ||||
\(325\) | −19.6865 | + | 7.90192i | −1.09201 | + | 0.438320i | ||||
\(326\) | −2.66025 | + | 4.60770i | −0.147338 | + | 0.255197i | ||||
\(327\) | 7.96410 | − | 2.13397i | 0.440416 | − | 0.118009i | ||||
\(328\) | −0.928203 | − | 0.928203i | −0.0512514 | − | 0.0512514i | ||||
\(329\) | −1.73205 | − | 0.124356i | −0.0954911 | − | 0.00685595i | ||||
\(330\) | 0.267949 | + | 4.46410i | 0.0147501 | + | 0.245741i | ||||
\(331\) | 6.29423 | + | 3.63397i | 0.345962 | + | 0.199741i | 0.662905 | − | 0.748703i | \(-0.269323\pi\) |
−0.316943 | + | 0.948444i | \(0.602656\pi\) | |||||||
\(332\) | 9.12436 | − | 9.12436i | 0.500764 | − | 0.500764i | ||||
\(333\) | 4.73205 | + | 1.26795i | 0.259315 | + | 0.0694832i | ||||
\(334\) | − | 6.58846i | − | 0.360504i | ||||||
\(335\) | −2.83013 | − | 8.49038i | −0.154626 | − | 0.463879i | ||||
\(336\) | −11.4641 | + | 16.9282i | −0.625418 | + | 0.923509i | ||||
\(337\) | −19.6603 | + | 19.6603i | −1.07096 | + | 1.07096i | −0.0736804 | + | 0.997282i | \(0.523474\pi\) |
−0.997282 | + | 0.0736804i | \(0.976526\pi\) | |||||||
\(338\) | 5.00000 | − | 5.00000i | 0.271964 | − | 0.271964i | ||||
\(339\) | −6.00000 | + | 3.46410i | −0.325875 | + | 0.188144i | ||||
\(340\) | −18.0000 | + | 6.00000i | −0.976187 | + | 0.325396i | ||||
\(341\) | −3.73205 | + | 6.46410i | −0.202102 | + | 0.350051i | ||||
\(342\) | 0.928203 | − | 3.46410i | 0.0501915 | − | 0.187317i | ||||
\(343\) | −10.0000 | − | 15.5885i | −0.539949 | − | 0.841698i | ||||
\(344\) | 9.46410i | 0.510270i | ||||||||
\(345\) | 3.69615 | + | 5.59808i | 0.198994 | + | 0.301390i | ||||
\(346\) | −0.588457 | − | 0.339746i | −0.0316357 | − | 0.0182649i | ||||
\(347\) | 9.35641 | − | 34.9186i | 0.502278 | − | 1.87453i | 0.0175817 | − | 0.999845i | \(-0.494403\pi\) |
0.484697 | − | 0.874682i | \(-0.338930\pi\) | |||||||
\(348\) | −16.6603 | − | 4.46410i | −0.893083 | − | 0.239301i | ||||
\(349\) | − | 19.9808i | − | 1.06955i | −0.844996 | − | 0.534773i | \(-0.820397\pi\) | ||
0.844996 | − | 0.534773i | \(-0.179603\pi\) | |||||||
\(350\) | 18.6865 | − | 0.901924i | 0.998837 | − | 0.0482099i | ||||
\(351\) | 18.5885 | 0.992178 | ||||||||
\(352\) | 4.00000 | + | 1.07180i | 0.213201 | + | 0.0571270i | ||||
\(353\) | −25.3923 | − | 6.80385i | −1.35150 | − | 0.362132i | −0.490809 | − | 0.871267i | \(-0.663299\pi\) |
−0.860687 | + | 0.509135i | \(0.829965\pi\) | |||||||
\(354\) | −12.1962 | + | 21.1244i | −0.648218 | + | 1.12275i | ||||
\(355\) | −28.8564 | + | 19.0526i | −1.53154 | + | 1.01120i | ||||
\(356\) | −29.7846 | − | 17.1962i | −1.57858 | − | 0.911394i | ||||
\(357\) | −14.1962 | − | 16.3923i | −0.751340 | − | 0.867573i | ||||
\(358\) | −5.14359 | + | 19.1962i | −0.271847 | + | 1.01455i | ||||
\(359\) | 4.09808 | + | 2.36603i | 0.216288 | + | 0.124874i | 0.604230 | − | 0.796810i | \(-0.293481\pi\) |
−0.387942 | + | 0.921684i | \(0.626814\pi\) | |||||||
\(360\) | 3.07180 | − | 3.46410i | 0.161898 | − | 0.182574i | ||||
\(361\) | −3.50000 | − | 6.06218i | −0.184211 | − | 0.319062i | ||||
\(362\) | −22.5167 | − | 22.5167i | −1.18345 | − | 1.18345i | ||||
\(363\) | −14.2942 | − | 14.2942i | −0.750252 | − | 0.750252i | ||||
\(364\) | −20.1962 | + | 9.80385i | −1.05857 | + | 0.513861i | ||||
\(365\) | 17.7846 | − | 5.92820i | 0.930889 | − | 0.310296i | ||||
\(366\) | − | 27.1244i | − | 1.41781i | ||||||
\(367\) | 2.16025 | − | 8.06218i | 0.112764 | − | 0.420842i | −0.886346 | − | 0.463024i | \(-0.846764\pi\) |
0.999110 | + | 0.0421820i | \(0.0134309\pi\) | |||||||
\(368\) | 6.00000 | − | 1.60770i | 0.312772 | − | 0.0838069i | ||||
\(369\) | −0.169873 | + | 0.294229i | −0.00884323 | + | 0.0153169i | ||||
\(370\) | −21.1244 | + | 1.26795i | −1.09820 | + | 0.0659175i | ||||
\(371\) | 6.80385 | + | 4.60770i | 0.353238 | + | 0.239220i | ||||
\(372\) | 38.0526 | − | 10.1962i | 1.97293 | − | 0.528646i | ||||
\(373\) | −2.53590 | − | 9.46410i | −0.131304 | − | 0.490033i | 0.868682 | − | 0.495370i | \(-0.164968\pi\) |
−0.999986 | + | 0.00533769i | \(0.998301\pi\) | |||||||
\(374\) | −2.19615 | + | 3.80385i | −0.113560 | + | 0.196692i | ||||
\(375\) | −21.5263 | − | 1.76795i | −1.11161 | − | 0.0912965i | ||||
\(376\) | 0.928203 | − | 1.60770i | 0.0478684 | − | 0.0829105i | ||||
\(377\) | −13.3923 | − | 13.3923i | −0.689739 | − | 0.689739i | ||||
\(378\) | −15.4904 | − | 5.36603i | −0.796739 | − | 0.275999i | ||||
\(379\) | 30.2487 | 1.55377 | 0.776886 | − | 0.629641i | \(-0.216798\pi\) | ||||
0.776886 | + | 0.629641i | \(0.216798\pi\) | |||||||
\(380\) | 0.928203 | + | 15.4641i | 0.0476158 | + | 0.793292i | ||||
\(381\) | −15.0263 | − | 26.0263i | −0.769820 | − | 1.33337i | ||||
\(382\) | 4.26795 | − | 1.14359i | 0.218367 | − | 0.0585113i | ||||
\(383\) | −1.96410 | − | 7.33013i | −0.100361 | − | 0.374552i | 0.897417 | − | 0.441184i | \(-0.145441\pi\) |
−0.997778 | + | 0.0666319i | \(0.978775\pi\) | |||||||
\(384\) | −10.9282 | − | 18.9282i | −0.557678 | − | 0.965926i | ||||
\(385\) | 3.09808 | − | 3.02628i | 0.157893 | − | 0.154233i | ||||
\(386\) | −14.6603 | + | 8.46410i | −0.746187 | + | 0.430811i | ||||
\(387\) | 2.36603 | − | 0.633975i | 0.120272 | − | 0.0322267i | ||||
\(388\) | −12.5359 | + | 12.5359i | −0.636414 | + | 0.636414i | ||||
\(389\) | 7.53590 | + | 13.0526i | 0.382085 | + | 0.661791i | 0.991360 | − | 0.131168i | \(-0.0418727\pi\) |
−0.609275 | + | 0.792959i | \(0.708539\pi\) | |||||||
\(390\) | 24.5885 | − | 8.19615i | 1.24508 | − | 0.415028i | ||||
\(391\) | 6.58846i | 0.333193i | ||||||||
\(392\) | 19.6603 | − | 2.33975i | 0.992993 | − | 0.118175i | ||||
\(393\) | 10.1962 | + | 10.1962i | 0.514328 | + | 0.514328i | ||||
\(394\) | − | 11.0718i | − | 0.557789i | ||||||
\(395\) | 28.8564 | − | 1.73205i | 1.45192 | − | 0.0871489i | ||||
\(396\) | − | 1.07180i | − | 0.0538598i | ||||||
\(397\) | 5.83013 | + | 21.7583i | 0.292606 | + | 1.09202i | 0.943100 | + | 0.332508i | \(0.107895\pi\) |
−0.650495 | + | 0.759511i | \(0.725438\pi\) | |||||||
\(398\) | −1.26795 | + | 4.73205i | −0.0635566 | + | 0.237196i | ||||
\(399\) | −15.9282 | + | 7.73205i | −0.797408 | + | 0.387087i | ||||
\(400\) | −7.85641 | + | 18.3923i | −0.392820 | + | 0.919615i | ||||
\(401\) | 15.3564 | − | 26.5981i | 0.766862 | − | 1.32824i | −0.172394 | − | 0.985028i | \(-0.555150\pi\) |
0.939256 | − | 0.343216i | \(-0.111516\pi\) | |||||||
\(402\) | 2.83013 | + | 10.5622i | 0.141154 | + | 0.526794i | ||||
\(403\) | 41.7846 | + | 11.1962i | 2.08144 | + | 0.557720i | ||||
\(404\) | 17.5359 | − | 10.1244i | 0.872444 | − | 0.503706i | ||||
\(405\) | 21.3205 | + | 10.6603i | 1.05942 | + | 0.529712i | ||||
\(406\) | 7.29423 | + | 15.0263i | 0.362006 | + | 0.745742i | ||||
\(407\) | −3.46410 | + | 3.46410i | −0.171709 | + | 0.171709i | ||||
\(408\) | 22.3923 | − | 6.00000i | 1.10858 | − | 0.297044i | ||||
\(409\) | 5.69615 | + | 9.86603i | 0.281657 | + | 0.487844i | 0.971793 | − | 0.235836i | \(-0.0757828\pi\) |
−0.690136 | + | 0.723679i | \(0.742449\pi\) | |||||||
\(410\) | 0.294229 | − | 1.43782i | 0.0145309 | − | 0.0710090i | ||||
\(411\) | 8.19615 | − | 14.1962i | 0.404286 | − | 0.700245i | ||||
\(412\) | −24.8564 | + | 6.66025i | −1.22459 | + | 0.328127i | ||||
\(413\) | 23.1962 | − | 4.46410i | 1.14141 | − | 0.219664i | ||||
\(414\) | −0.803848 | − | 1.39230i | −0.0395070 | − | 0.0684280i | ||||
\(415\) | 14.1340 | + | 2.89230i | 0.693810 | + | 0.141978i | ||||
\(416\) | − | 24.0000i | − | 1.17670i | ||||||
\(417\) | 2.36603 | + | 0.633975i | 0.115865 | + | 0.0310459i | ||||
\(418\) | 2.53590 | + | 2.53590i | 0.124035 | + | 0.124035i | ||||
\(419\) | − | 2.39230i | − | 0.116872i | −0.998291 | − | 0.0584359i | \(-0.981389\pi\) | ||
0.998291 | − | 0.0584359i | \(-0.0186113\pi\) | |||||||
\(420\) | −22.8564 | − | 0.267949i | −1.11528 | − | 0.0130746i | ||||
\(421\) | 30.1244i | 1.46817i | 0.679057 | + | 0.734086i | \(0.262389\pi\) | ||||
−0.679057 | + | 0.734086i | \(0.737611\pi\) | |||||||
\(422\) | −20.5359 | + | 20.5359i | −0.999672 | + | 0.999672i | ||||
\(423\) | −0.464102 | − | 0.124356i | −0.0225654 | − | 0.00604638i | ||||
\(424\) | −7.60770 | + | 4.39230i | −0.369462 | + | 0.213309i | ||||
\(425\) | −16.6865 | − | 13.0981i | −0.809416 | − | 0.635350i | ||||
\(426\) | 36.5885 | − | 21.1244i | 1.77272 | − | 1.02348i | ||||
\(427\) | −19.8564 | + | 17.1962i | −0.960919 | + | 0.832180i | ||||
\(428\) | 2.85641 | + | 10.6603i | 0.138070 | + | 0.515283i | ||||
\(429\) | 3.00000 | − | 5.19615i | 0.144841 | − | 0.250873i | ||||
\(430\) | −8.83013 | + | 5.83013i | −0.425827 | + | 0.281154i | ||||
\(431\) | 6.63397 | + | 11.4904i | 0.319547 | + | 0.553472i | 0.980394 | − | 0.197049i | \(-0.0631358\pi\) |
−0.660846 | + | 0.750521i | \(0.729802\pi\) | |||||||
\(432\) | 12.3923 | − | 12.3923i | 0.596225 | − | 0.596225i | ||||
\(433\) | −11.4641 | + | 11.4641i | −0.550930 | + | 0.550930i | −0.926709 | − | 0.375780i | \(-0.877375\pi\) |
0.375780 | + | 0.926709i | \(0.377375\pi\) | |||||||
\(434\) | −31.5885 | − | 21.3923i | −1.51629 | − | 1.02686i | ||||
\(435\) | −6.09808 | − | 18.2942i | −0.292380 | − | 0.877141i | ||||
\(436\) | 7.39230 | − | 4.26795i | 0.354027 | − | 0.204398i | ||||
\(437\) | 5.19615 | + | 1.39230i | 0.248566 | + | 0.0666030i | ||||
\(438\) | −22.1244 | + | 5.92820i | −1.05714 | + | 0.283261i | ||||
\(439\) | −2.66025 | + | 4.60770i | −0.126967 | + | 0.219913i | −0.922500 | − | 0.385997i | \(-0.873858\pi\) |
0.795533 | + | 0.605910i | \(0.207191\pi\) | |||||||
\(440\) | 1.46410 | + | 4.39230i | 0.0697983 | + | 0.209395i | ||||
\(441\) | −1.90192 | − | 4.75833i | −0.0905678 | − | 0.226587i | ||||
\(442\) | 24.5885 | + | 6.58846i | 1.16955 | + | 0.313381i | ||||
\(443\) | 8.93782 | + | 33.3564i | 0.424649 | + | 1.58481i | 0.764689 | + | 0.644400i | \(0.222893\pi\) |
−0.340040 | + | 0.940411i | \(0.610441\pi\) | |||||||
\(444\) | 25.8564 | 1.22709 | ||||||||
\(445\) | −2.30385 | − | 38.3827i | −0.109213 | − | 1.81951i | ||||
\(446\) | −15.8564 | −0.750823 | ||||||||
\(447\) | −30.9545 | − | 30.9545i | −1.46410 | − | 1.46410i | ||||
\(448\) | −6.92820 | + | 20.0000i | −0.327327 | + | 0.944911i | ||||
\(449\) | − | 23.1962i | − | 1.09469i | −0.836906 | − | 0.547347i | \(-0.815638\pi\) | ||
0.836906 | − | 0.547347i | \(-0.184362\pi\) | |||||||
\(450\) | 5.12436 | + | 0.732051i | 0.241564 | + | 0.0345092i | ||||
\(451\) | −0.169873 | − | 0.294229i | −0.00799901 | − | 0.0138547i | ||||
\(452\) | −5.07180 | + | 5.07180i | −0.238557 | + | 0.238557i | ||||
\(453\) | 25.7583 | − | 6.90192i | 1.21023 | − | 0.324281i | ||||
\(454\) | −9.39230 | − | 16.2679i | −0.440803 | − | 0.763493i | ||||
\(455\) | −21.5885 | − | 12.8038i | −1.01208 | − | 0.600254i | ||||
\(456\) | − | 18.9282i | − | 0.886394i | ||||||
\(457\) | −3.73205 | − | 13.9282i | −0.174578 | − | 0.651534i | −0.996623 | − | 0.0821116i | \(-0.973834\pi\) |
0.822045 | − | 0.569422i | \(-0.192833\pi\) | |||||||
\(458\) | 5.66025 | + | 21.1244i | 0.264486 | + | 0.987076i | ||||
\(459\) | 9.29423 | + | 16.0981i | 0.433817 | + | 0.751394i | ||||
\(460\) | 5.19615 | + | 4.60770i | 0.242272 | + | 0.214835i | ||||
\(461\) | −12.1436 | −0.565584 | −0.282792 | − | 0.959181i | \(-0.591261\pi\) | ||||
−0.282792 | + | 0.959181i | \(0.591261\pi\) | |||||||
\(462\) | −4.00000 | + | 3.46410i | −0.186097 | + | 0.161165i | ||||
\(463\) | 0.830127 | + | 0.830127i | 0.0385793 | + | 0.0385793i | 0.726133 | − | 0.687554i | \(-0.241316\pi\) |
−0.687554 | + | 0.726133i | \(0.741316\pi\) | |||||||
\(464\) | −17.8564 | −0.828963 | ||||||||
\(465\) | 32.9545 | + | 29.2224i | 1.52823 | + | 1.35516i | ||||
\(466\) | −9.00000 | − | 5.19615i | −0.416917 | − | 0.240707i | ||||
\(467\) | −1.66987 | − | 6.23205i | −0.0772725 | − | 0.288385i | 0.916466 | − | 0.400111i | \(-0.131029\pi\) |
−0.993739 | + | 0.111727i | \(0.964362\pi\) | |||||||
\(468\) | −6.00000 | + | 1.60770i | −0.277350 | + | 0.0743157i | ||||
\(469\) | 5.93782 | − | 8.76795i | 0.274183 | − | 0.404866i | ||||
\(470\) | 2.07180 | − | 0.124356i | 0.0955649 | − | 0.00573610i | ||||
\(471\) | −17.0263 | + | 29.4904i | −0.784530 | + | 1.35885i | ||||
\(472\) | −6.53590 | + | 24.3923i | −0.300839 | + | 1.12275i | ||||
\(473\) | −0.633975 | + | 2.36603i | −0.0291502 | + | 0.108790i | ||||
\(474\) | −35.3205 | −1.62232 | ||||||||
\(475\) | −13.8564 | + | 10.3923i | −0.635776 | + | 0.476832i | ||||
\(476\) | −18.5885 | − | 12.5885i | −0.852001 | − | 0.576991i | ||||
\(477\) | 1.60770 | + | 1.60770i | 0.0736113 | + | 0.0736113i | ||||
\(478\) | −4.73205 | + | 4.73205i | −0.216439 | + | 0.216439i | ||||
\(479\) | 1.90192 | + | 3.29423i | 0.0869011 | + | 0.150517i | 0.906200 | − | 0.422850i | \(-0.138970\pi\) |
−0.819299 | + | 0.573367i | \(0.805637\pi\) | |||||||
\(480\) | 10.9282 | − | 21.8564i | 0.498802 | − | 0.997604i | ||||
\(481\) | 24.5885 | + | 14.1962i | 1.12114 | + | 0.647289i | ||||
\(482\) | 27.8564 | + | 7.46410i | 1.26882 | + | 0.339981i | ||||
\(483\) | −2.59808 | + | 7.50000i | −0.118217 | + | 0.341262i | ||||
\(484\) | −18.1244 | − | 10.4641i | −0.823834 | − | 0.475641i | ||||
\(485\) | −19.4186 | − | 3.97372i | −0.881752 | − | 0.180437i | ||||
\(486\) | −9.12436 | − | 5.26795i | −0.413889 | − | 0.238959i | ||||
\(487\) | −19.0263 | − | 5.09808i | −0.862163 | − | 0.231016i | −0.199467 | − | 0.979905i | \(-0.563921\pi\) |
−0.662696 | + | 0.748889i | \(0.730588\pi\) | |||||||
\(488\) | −7.26795 | − | 27.1244i | −0.329005 | − | 1.22786i | ||||
\(489\) | 7.26795 | 0.328668 | ||||||||
\(490\) | 14.2942 | + | 16.9019i | 0.645747 | + | 0.763551i | ||||
\(491\) | 12.1962i | 0.550405i | 0.961386 | + | 0.275202i | \(0.0887448\pi\) | ||||
−0.961386 | + | 0.275202i | \(0.911255\pi\) | |||||||
\(492\) | −0.464102 | + | 1.73205i | −0.0209233 | + | 0.0780869i | ||||
\(493\) | 4.90192 | − | 18.2942i | 0.220772 | − | 0.823931i | ||||
\(494\) | 10.3923 | − | 18.0000i | 0.467572 | − | 0.809858i | ||||
\(495\) | 1.00000 | − | 0.660254i | 0.0449467 | − | 0.0296762i | ||||
\(496\) | 35.3205 | − | 20.3923i | 1.58594 | − | 0.915642i | ||||
\(497\) | −38.6603 | − | 13.3923i | −1.73415 | − | 0.600727i | ||||
\(498\) | −17.0263 | − | 4.56218i | −0.762966 | − | 0.204436i | ||||
\(499\) | −6.75833 | + | 11.7058i | −0.302544 | + | 0.524022i | −0.976712 | − | 0.214556i | \(-0.931169\pi\) |
0.674167 | + | 0.738579i | \(0.264503\pi\) | |||||||
\(500\) | −22.0000 | + | 4.00000i | −0.983870 | + | 0.178885i | ||||
\(501\) | −7.79423 | + | 4.50000i | −0.348220 | + | 0.201045i | ||||
\(502\) | 19.6603 | + | 19.6603i | 0.877480 | + | 0.877480i | ||||
\(503\) | −22.6865 | + | 22.6865i | −1.01154 | + | 1.01154i | −0.0116099 | + | 0.999933i | \(0.503696\pi\) |
−0.999933 | + | 0.0116099i | \(0.996304\pi\) | |||||||
\(504\) | 5.46410 | + | 0.392305i | 0.243390 | + | 0.0174746i | ||||
\(505\) | 20.2487 | + | 10.1244i | 0.901056 | + | 0.450528i | ||||
\(506\) | 1.60770 | 0.0714708 | ||||||||
\(507\) | −9.33013 | − | 2.50000i | −0.414365 | − | 0.111029i | ||||
\(508\) | −22.0000 | − | 22.0000i | −0.976092 | − | 0.976092i | ||||
\(509\) | −9.57180 | − | 5.52628i | −0.424262 | − | 0.244948i | 0.272637 | − | 0.962117i | \(-0.412104\pi\) |
−0.696899 | + | 0.717169i | \(0.745438\pi\) | |||||||
\(510\) | 19.3923 | + | 17.1962i | 0.858706 | + | 0.761458i | ||||
\(511\) | 18.3660 | + | 12.4378i | 0.812465 | + | 0.550217i | ||||
\(512\) | −16.0000 | − | 16.0000i | −0.707107 | − | 0.707107i | ||||
\(513\) | 14.6603 | − | 3.92820i | 0.647266 | − | 0.173434i | ||||
\(514\) | −32.7846 | − | 18.9282i | −1.44607 | − | 0.834887i | ||||
\(515\) | −21.5263 | − | 19.0885i | −0.948561 | − | 0.841138i | ||||
\(516\) | 11.1962 | − | 6.46410i | 0.492883 | − | 0.284566i | ||||
\(517\) | 0.339746 | − | 0.339746i | 0.0149420 | − | 0.0149420i | ||||
\(518\) | −16.3923 | − | 18.9282i | −0.720237 | − | 0.831658i | ||||
\(519\) | 0.928203i | 0.0407436i | ||||||||
\(520\) | 22.3923 | − | 14.7846i | 0.981968 | − | 0.648348i | ||||
\(521\) | 7.39230 | − | 4.26795i | 0.323863 | − | 0.186982i | −0.329250 | − | 0.944243i | \(-0.606796\pi\) |
0.653113 | + | 0.757260i | \(0.273463\pi\) | |||||||
\(522\) | 1.19615 | + | 4.46410i | 0.0523542 | + | 0.195388i | ||||
\(523\) | −24.2942 | + | 6.50962i | −1.06231 | + | 0.284646i | −0.747331 | − | 0.664452i | \(-0.768665\pi\) |
−0.314982 | + | 0.949098i | \(0.601998\pi\) | |||||||
\(524\) | 12.9282 | + | 7.46410i | 0.564771 | + | 0.326071i | ||||
\(525\) | −13.8301 | − | 21.4904i | −0.603596 | − | 0.937917i | ||||
\(526\) | 0.509619 | − | 0.294229i | 0.0222204 | − | 0.0128290i | ||||
\(527\) | 11.1962 | + | 41.7846i | 0.487712 | + | 1.82017i | ||||
\(528\) | −1.46410 | − | 5.46410i | −0.0637168 | − | 0.237795i | ||||
\(529\) | −17.8301 | + | 10.2942i | −0.775223 | + | 0.447575i | ||||
\(530\) | −8.78461 | − | 4.39230i | −0.381579 | − | 0.190790i | ||||
\(531\) | 6.53590 | 0.283634 | ||||||||
\(532\) | −13.8564 | + | 12.0000i | −0.600751 | + | 0.520266i | ||||
\(533\) | −1.39230 | + | 1.39230i | −0.0603074 | + | 0.0603074i | ||||
\(534\) | 46.9808i | 2.03306i | ||||||||
\(535\) | −8.18653 | + | 9.23205i | −0.353935 | + | 0.399136i | ||||
\(536\) | 5.66025 | + | 9.80385i | 0.244486 | + | 0.423462i | ||||
\(537\) | 26.2224 | − | 7.02628i | 1.13158 | − | 0.303206i | ||||
\(538\) | −4.83013 | − | 1.29423i | −0.208242 | − | 0.0557982i | ||||
\(539\) | 5.07180 | + | 0.732051i | 0.218458 | + | 0.0315317i | ||||
\(540\) | 19.1962 | + | 3.92820i | 0.826071 | + | 0.169043i | ||||
\(541\) | 1.79423 | + | 1.03590i | 0.0771399 | + | 0.0445368i | 0.538074 | − | 0.842898i | \(-0.319152\pi\) |
−0.460934 | + | 0.887434i | \(0.652485\pi\) | |||||||
\(542\) | −4.39230 | − | 16.3923i | −0.188666 | − | 0.704110i | ||||
\(543\) | −11.2583 | + | 42.0167i | −0.483141 | + | 1.80311i | ||||
\(544\) | 20.7846 | − | 12.0000i | 0.891133 | − | 0.514496i | ||||
\(545\) | 8.53590 | + | 4.26795i | 0.365638 | + | 0.182819i | ||||
\(546\) | 25.3923 | + | 17.1962i | 1.08669 | + | 0.735927i | ||||
\(547\) | 14.4904 | + | 14.4904i | 0.619564 | + | 0.619564i | 0.945420 | − | 0.325856i | \(-0.105652\pi\) |
−0.325856 | + | 0.945420i | \(0.605652\pi\) | |||||||
\(548\) | 4.39230 | − | 16.3923i | 0.187630 | − | 0.700245i | ||||
\(549\) | −6.29423 | + | 3.63397i | −0.268631 | + | 0.155094i | ||||
\(550\) | −3.19615 | + | 4.07180i | −0.136284 | + | 0.173622i | ||||
\(551\) | −13.3923 | − | 7.73205i | −0.570531 | − | 0.329396i | ||||
\(552\) | −6.00000 | − | 6.00000i | −0.255377 | − | 0.255377i | ||||
\(553\) | 22.3923 | + | 25.8564i | 0.952218 | + | 1.09953i | ||||
\(554\) | 23.7846 | − | 13.7321i | 1.01051 | − | 0.583419i | ||||
\(555\) | 15.9282 | + | 24.1244i | 0.676115 | + | 1.02402i | ||||
\(556\) | 2.53590 | 0.107546 | ||||||||
\(557\) | −8.24167 | + | 30.7583i | −0.349211 | + | 1.30327i | 0.538404 | + | 0.842687i | \(0.319027\pi\) |
−0.887615 | + | 0.460586i | \(0.847639\pi\) | |||||||
\(558\) | −7.46410 | − | 7.46410i | −0.315981 | − | 0.315981i | ||||
\(559\) | 14.1962 | 0.600433 | ||||||||
\(560\) | −22.9282 | + | 5.85641i | −0.968893 | + | 0.247478i | ||||
\(561\) | 6.00000 | 0.253320 | ||||||||
\(562\) | 24.2487 | + | 24.2487i | 1.02287 | + | 1.02287i | ||||
\(563\) | 7.06218 | − | 26.3564i | 0.297635 | − | 1.11079i | −0.641466 | − | 0.767151i | \(-0.721674\pi\) |
0.939102 | − | 0.343639i | \(-0.111660\pi\) | |||||||
\(564\) | −2.53590 | −0.106781 | ||||||||
\(565\) | −7.85641 | − | 1.60770i | −0.330522 | − | 0.0676362i | ||||
\(566\) | 17.1962 | − | 9.92820i | 0.722808 | − | 0.417314i | ||||
\(567\) | 5.33013 | + | 27.6962i | 0.223844 | + | 1.16313i | ||||
\(568\) | 30.9282 | − | 30.9282i | 1.29772 | − | 1.29772i | ||||
\(569\) | 18.8038 | + | 10.8564i | 0.788298 | + | 0.455124i | 0.839363 | − | 0.543571i | \(-0.182928\pi\) |
−0.0510648 | + | 0.998695i | \(0.516262\pi\) | |||||||
\(570\) | 17.6603 | − | 11.6603i | 0.739707 | − | 0.488394i | ||||
\(571\) | −14.7846 | + | 8.53590i | −0.618717 | + | 0.357216i | −0.776369 | − | 0.630278i | \(-0.782941\pi\) |
0.157653 | + | 0.987495i | \(0.449607\pi\) | |||||||
\(572\) | 1.60770 | − | 6.00000i | 0.0672211 | − | 0.250873i | ||||
\(573\) | −4.26795 | − | 4.26795i | −0.178296 | − | 0.178296i | ||||
\(574\) | 1.56218 | − | 0.758330i | 0.0652040 | − | 0.0316521i | ||||
\(575\) | −1.09808 | + | 7.68653i | −0.0457929 | + | 0.320551i | ||||
\(576\) | −2.92820 | + | 5.07180i | −0.122008 | + | 0.211325i | ||||
\(577\) | −4.41858 | + | 16.4904i | −0.183948 | + | 0.686504i | 0.810905 | + | 0.585178i | \(0.198975\pi\) |
−0.994853 | + | 0.101326i | \(0.967691\pi\) | |||||||
\(578\) | 0.366025 | + | 1.36603i | 0.0152246 | + | 0.0568192i | ||||
\(579\) | 20.0263 | + | 11.5622i | 0.832264 | + | 0.480508i | ||||
\(580\) | −11.0000 | − | 16.6603i | −0.456750 | − | 0.691779i | ||||
\(581\) | 7.45448 | + | 15.3564i | 0.309264 | + | 0.637091i | ||||
\(582\) | 23.3923 | + | 6.26795i | 0.969642 | + | 0.259815i | ||||
\(583\) | −2.19615 | + | 0.588457i | −0.0909553 | + | 0.0243714i | ||||
\(584\) | −20.5359 | + | 11.8564i | −0.849782 | + | 0.490622i | ||||
\(585\) | −5.19615 | − | 4.60770i | −0.214834 | − | 0.190505i | ||||
\(586\) | − | 8.39230i | − | 0.346683i | ||||||
\(587\) | 9.00000 | − | 9.00000i | 0.371470 | − | 0.371470i | −0.496543 | − | 0.868012i | \(-0.665397\pi\) |
0.868012 | + | 0.496543i | \(0.165397\pi\) | |||||||
\(588\) | −16.1962 | − | 21.6603i | −0.667918 | − | 0.893254i | ||||
\(589\) | 35.3205 | 1.45536 | ||||||||
\(590\) | −26.7846 | + | 8.92820i | −1.10270 | + | 0.367568i | ||||
\(591\) | −13.0981 | + | 7.56218i | −0.538783 | + | 0.311066i | ||||
\(592\) | 25.8564 | − | 6.92820i | 1.06269 | − | 0.284747i | ||||
\(593\) | −3.80385 | − | 14.1962i | −0.156205 | − | 0.582966i | −0.998999 | − | 0.0447296i | \(-0.985757\pi\) |
0.842794 | − | 0.538237i | \(-0.180909\pi\) | |||||||
\(594\) | 3.92820 | − | 2.26795i | 0.161176 | − | 0.0930551i | ||||
\(595\) | 0.294229 | − | 25.0981i | 0.0120622 | − | 1.02892i | ||||
\(596\) | −39.2487 | − | 22.6603i | −1.60769 | − | 0.928200i | ||||
\(597\) | 6.46410 | − | 1.73205i | 0.264558 | − | 0.0708881i | ||||
\(598\) | −2.41154 | − | 9.00000i | −0.0986153 | − | 0.368037i | ||||
\(599\) | 21.0000 | − | 12.1244i | 0.858037 | − | 0.495388i | −0.00531761 | − | 0.999986i | \(-0.501693\pi\) |
0.863354 | + | 0.504598i | \(0.168359\pi\) | |||||||
\(600\) | 27.1244 | − | 3.26795i | 1.10735 | − | 0.133413i | ||||
\(601\) | 28.3923i | 1.15815i | 0.815276 | + | 0.579073i | \(0.196585\pi\) | ||||
−0.815276 | + | 0.579073i | \(0.803415\pi\) | |||||||
\(602\) | −11.8301 | − | 4.09808i | −0.482160 | − | 0.167025i | ||||
\(603\) | 2.07180 | − | 2.07180i | 0.0843701 | − | 0.0843701i | ||||
\(604\) | 23.9090 | − | 13.8038i | 0.972842 | − | 0.561671i | ||||
\(605\) | −1.40192 | − | 23.3564i | −0.0569963 | − | 0.949573i | ||||
\(606\) | −23.9545 | − | 13.8301i | −0.973084 | − | 0.561811i | ||||
\(607\) | −22.9904 | + | 6.16025i | −0.933151 | + | 0.250037i | −0.693198 | − | 0.720747i | \(-0.743799\pi\) |
−0.239953 | + | 0.970784i | \(0.577132\pi\) | |||||||
\(608\) | −5.07180 | − | 18.9282i | −0.205689 | − | 0.767640i | ||||
\(609\) | 12.7942 | − | 18.8923i | 0.518448 | − | 0.765555i | ||||
\(610\) | 20.8301 | − | 23.4904i | 0.843387 | − | 0.951098i | ||||
\(611\) | −2.41154 | − | 1.39230i | −0.0975606 | − | 0.0563266i | ||||
\(612\) | −4.39230 | − | 4.39230i | −0.177548 | − | 0.177548i | ||||
\(613\) | −5.36603 | − | 1.43782i | −0.216732 | − | 0.0580731i | 0.148819 | − | 0.988864i | \(-0.452453\pi\) |
−0.365551 | + | 0.930791i | \(0.619119\pi\) | |||||||
\(614\) | 1.51666 | 0.0612074 | ||||||||
\(615\) | −1.90192 | + | 0.633975i | −0.0766930 | + | 0.0255643i | ||||
\(616\) | −3.07180 | + | 4.53590i | −0.123766 | + | 0.182757i | ||||
\(617\) | −0.928203 | + | 0.928203i | −0.0373681 | + | 0.0373681i | −0.725544 | − | 0.688176i | \(-0.758412\pi\) |
0.688176 | + | 0.725544i | \(0.258412\pi\) | |||||||
\(618\) | 24.8564 | + | 24.8564i | 0.999871 | + | 0.999871i | ||||
\(619\) | −15.2942 | + | 8.83013i | −0.614727 | + | 0.354913i | −0.774813 | − | 0.632190i | \(-0.782156\pi\) |
0.160086 | + | 0.987103i | \(0.448823\pi\) | |||||||
\(620\) | 40.7846 | + | 20.3923i | 1.63795 | + | 0.818975i | ||||
\(621\) | 3.40192 | − | 5.89230i | 0.136514 | − | 0.236450i | ||||
\(622\) | −34.0526 | − | 9.12436i | −1.36538 | − | 0.365853i | ||||
\(623\) | 34.3923 | − | 29.7846i | 1.37790 | − | 1.19330i | ||||
\(624\) | −28.3923 | + | 16.3923i | −1.13660 | + | 0.656217i | ||||
\(625\) | −17.2846 | − | 18.0622i | −0.691384 | − | 0.722487i | ||||
\(626\) | −11.8038 | + | 20.4449i | −0.471777 | + | 0.817141i | ||||
\(627\) | 1.26795 | − | 4.73205i | 0.0506370 | − | 0.188980i | ||||
\(628\) | −9.12436 | + | 34.0526i | −0.364101 | + | 1.35885i | ||||
\(629\) | 28.3923i | 1.13208i | ||||||||
\(630\) | 3.00000 | + | 5.33975i | 0.119523 | + | 0.212741i | ||||
\(631\) | −7.26795 | −0.289332 | −0.144666 | − | 0.989481i | \(-0.546211\pi\) | ||||
−0.144666 | + | 0.989481i | \(0.546211\pi\) | |||||||
\(632\) | −35.3205 | + | 9.46410i | −1.40497 | + | 0.376462i | ||||
\(633\) | 38.3205 | + | 10.2679i | 1.52310 | + | 0.408114i | ||||
\(634\) | −5.53590 | − | 3.19615i | −0.219859 | − | 0.126935i | ||||
\(635\) | 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 | ||||
\(638\) | −4.46410 | − | 1.19615i | −0.176735 | − | 0.0473561i | ||||
\(639\) | −9.80385 | − | 5.66025i | −0.387834 | − | 0.223916i | ||||
\(640\) | 5.07180 | − | 24.7846i | 0.200480 | − | 0.979698i | ||||
\(641\) | 16.3301 | + | 28.2846i | 0.645001 | + | 1.11717i | 0.984301 | + | 0.176497i | \(0.0564765\pi\) |
−0.339300 | + | 0.940678i | \(0.610190\pi\) | |||||||
\(642\) | 10.6603 | − | 10.6603i | 0.420727 | − | 0.420727i | ||||
\(643\) | 9.00000 | + | 9.00000i | 0.354925 | + | 0.354925i | 0.861938 | − | 0.507013i | \(-0.169250\pi\) |
−0.507013 | + | 0.861938i | \(0.669250\pi\) | |||||||
\(644\) | −0.588457 | + | 8.19615i | −0.0231885 | + | 0.322974i | ||||
\(645\) | 12.9282 | + | 6.46410i | 0.509048 | + | 0.254524i | ||||
\(646\) | 20.7846 | 0.817760 | ||||||||
\(647\) | 7.03590 | − | 26.2583i | 0.276610 | − | 1.03232i | −0.678145 | − | 0.734928i | \(-0.737216\pi\) |
0.954755 | − | 0.297394i | \(-0.0961174\pi\) | |||||||
\(648\) | −29.1244 | − | 7.80385i | −1.14411 | − | 0.306564i | ||||
\(649\) | −3.26795 | + | 5.66025i | −0.128278 | + | 0.222184i | ||||
\(650\) | 27.5885 | + | 11.7846i | 1.08211 | + | 0.462230i | ||||
\(651\) | −3.73205 | + | 51.9808i | −0.146271 | + | 2.03729i | ||||
\(652\) | 7.26795 | − | 1.94744i | 0.284635 | − | 0.0762677i | ||||
\(653\) | −8.41858 | − | 31.4186i | −0.329445 | − | 1.22950i | −0.909768 | − | 0.415118i | \(-0.863740\pi\) |
0.580323 | − | 0.814386i | \(-0.302926\pi\) | |||||||
\(654\) | −10.0981 | − | 5.83013i | −0.394866 | − | 0.227976i | ||||
\(655\) | 1.00000 | + | 16.6603i | 0.0390732 | + | 0.650970i | ||||
\(656\) | 1.85641i | 0.0724805i | ||||||||
\(657\) | 4.33975 | + | 4.33975i | 0.169310 | + | 0.169310i | ||||
\(658\) | 1.60770 | + | 1.85641i | 0.0626745 | + | 0.0723703i | ||||
\(659\) | −39.3205 | −1.53171 | −0.765855 | − | 0.643014i | \(-0.777684\pi\) | ||||
−0.765855 | + | 0.643014i | \(0.777684\pi\) | |||||||
\(660\) | 4.19615 | − | 4.73205i | 0.163335 | − | 0.184195i | ||||
\(661\) | −19.9641 | − | 34.5788i | −0.776514 | − | 1.34496i | −0.933940 | − | 0.357430i | \(-0.883653\pi\) |
0.157426 | − | 0.987531i | \(-0.449680\pi\) | |||||||
\(662\) | −2.66025 | − | 9.92820i | −0.103394 | − | 0.385871i | ||||
\(663\) | −9.00000 | − | 33.5885i | −0.349531 | − | 1.30447i | ||||
\(664\) | −18.2487 | −0.708187 | ||||||||
\(665\) | −19.7321 | − | 5.53590i | −0.765176 | − | 0.214673i | ||||
\(666\) | −3.46410 | − | 6.00000i | −0.134231 | − | 0.232495i | ||||
\(667\) | −6.69615 | + | 1.79423i | −0.259276 | + | 0.0694728i | ||||
\(668\) | −6.58846 | + | 6.58846i | −0.254915 | + | 0.254915i | ||||
\(669\) | 10.8301 | + | 18.7583i | 0.418717 | + | 0.725239i | ||||
\(670\) | −5.66025 | + | 11.3205i | −0.218675 | + | 0.437349i | ||||
\(671\) | − | 7.26795i | − | 0.280576i | ||||||
\(672\) | 28.3923 | − | 5.46410i | 1.09526 | − | 0.210782i | ||||
\(673\) | −10.1962 | − | 10.1962i | −0.393033 | − | 0.393033i | 0.482734 | − | 0.875767i | \(-0.339644\pi\) |
−0.875767 | + | 0.482734i | \(0.839644\pi\) | |||||||
\(674\) | 39.3205 | 1.51457 | ||||||||
\(675\) | 8.16025 | + | 20.3301i | 0.314088 | + | 0.782507i | ||||
\(676\) | −10.0000 | −0.384615 | ||||||||
\(677\) | 1.22243 | + | 4.56218i | 0.0469819 | + | 0.175339i | 0.985430 | − | 0.170081i | \(-0.0544031\pi\) |
−0.938448 | + | 0.345420i | \(0.887736\pi\) | |||||||
\(678\) | 9.46410 | + | 2.53590i | 0.363467 | + | 0.0973906i | ||||
\(679\) | −10.2417 | − | 21.0981i | −0.393039 | − | 0.809670i | ||||
\(680\) | 24.0000 | + | 12.0000i | 0.920358 | + | 0.460179i | ||||
\(681\) | −12.8301 | + | 22.2224i | −0.491652 | + | 0.851565i | ||||
\(682\) | 10.1962 | − | 2.73205i | 0.390431 | − | 0.104616i | ||||
\(683\) | 29.3564 | + | 7.86603i | 1.12329 | + | 0.300985i | 0.772215 | − | 0.635362i | \(-0.219149\pi\) |
0.351077 | + | 0.936347i | \(0.385816\pi\) | |||||||
\(684\) | −4.39230 | + | 2.53590i | −0.167944 | + | 0.0969625i | ||||
\(685\) | 18.0000 | − | 6.00000i | 0.687745 | − | 0.229248i | ||||
\(686\) | −5.58846 | + | 25.5885i | −0.213368 | + | 0.976972i | ||||
\(687\) | 21.1244 | − | 21.1244i | 0.805944 | − | 0.805944i | ||||
\(688\) | 9.46410 | − | 9.46410i | 0.360815 | − | 0.360815i | ||||
\(689\) | 6.58846 | + | 11.4115i | 0.251000 | + | 0.434745i | ||||
\(690\) | 1.90192 | − | 9.29423i | 0.0724050 | − | 0.353825i | ||||
\(691\) | 21.7583 | − | 37.6865i | 0.827726 | − | 1.43366i | −0.0720922 | − | 0.997398i | \(-0.522968\pi\) |
0.899818 | − | 0.436265i | \(-0.143699\pi\) | |||||||
\(692\) | 0.248711 | + | 0.928203i | 0.00945459 | + | 0.0352850i | ||||
\(693\) | 1.33975 | + | 0.464102i | 0.0508927 | + | 0.0176298i | ||||
\(694\) | −44.2750 | + | 25.5622i | −1.68066 | + | 0.970327i | ||||
\(695\) | 1.56218 | + | 2.36603i | 0.0592568 | + | 0.0897485i | ||||
\(696\) | 12.1962 | + | 21.1244i | 0.462294 | + | 0.800717i | ||||
\(697\) | −1.90192 | − | 0.509619i | −0.0720405 | − | 0.0193032i | ||||
\(698\) | −19.9808 | + | 19.9808i | −0.756283 | + | 0.756283i | ||||
\(699\) | 14.1962i | 0.536948i | ||||||||
\(700\) | −19.5885 | − | 17.7846i | −0.740374 | − | 0.672195i | ||||
\(701\) | 33.9808i | 1.28344i | 0.766941 | + | 0.641718i | \(0.221778\pi\) | ||||
−0.766941 | + | 0.641718i | \(0.778222\pi\) | |||||||
\(702\) | −18.5885 | − | 18.5885i | −0.701576 | − | 0.701576i | ||||
\(703\) | 22.3923 | + | 6.00000i | 0.844542 | + | 0.226294i | ||||
\(704\) | −2.92820 | − | 5.07180i | −0.110361 | − | 0.191151i | ||||
\(705\) | −1.56218 | − | 2.36603i | −0.0588350 | − | 0.0891097i | ||||
\(706\) | 18.5885 | + | 32.1962i | 0.699586 | + | 1.21172i | ||||
\(707\) | 5.06218 | + | 26.3038i | 0.190383 | + | 0.989258i | ||||
\(708\) | 33.3205 | − | 8.92820i | 1.25226 | − | 0.335542i | ||||
\(709\) | −7.96410 | + | 13.7942i | −0.299098 | + | 0.518053i | −0.975930 | − | 0.218085i | \(-0.930019\pi\) |
0.676832 | + | 0.736138i | \(0.263352\pi\) | |||||||
\(710\) | 47.9090 | + | 9.80385i | 1.79799 | + | 0.367932i | ||||
\(711\) | 4.73205 | + | 8.19615i | 0.177466 | + | 0.307380i | ||||
\(712\) | 12.5885 | + | 46.9808i | 0.471772 | + | 1.76068i | ||||
\(713\) | 11.1962 | − | 11.1962i | 0.419299 | − | 0.419299i | ||||
\(714\) | −2.19615 | + | 30.5885i | −0.0821889 | + | 1.14474i | ||||
\(715\) | 6.58846 | − | 2.19615i | 0.246394 | − | 0.0821314i | ||||
\(716\) | 24.3397 | − | 14.0526i | 0.909619 | − | 0.525169i | ||||
\(717\) | 8.83013 | + | 2.36603i | 0.329767 | + | 0.0883608i | ||||
\(718\) | −1.73205 | − | 6.46410i | −0.0646396 | − | 0.241238i | ||||
\(719\) | −5.36603 | + | 9.29423i | −0.200119 | + | 0.346616i | −0.948567 | − | 0.316578i | \(-0.897466\pi\) |
0.748448 | + | 0.663194i | \(0.230800\pi\) | |||||||
\(720\) | −6.53590 | + | 0.392305i | −0.243579 | + | 0.0146203i | ||||
\(721\) | 2.43782 | − | 33.9545i | 0.0907892 | − | 1.26453i | ||||
\(722\) | −2.56218 | + | 9.56218i | −0.0953544 | + | 0.355867i | ||||
\(723\) | −10.1962 | − | 38.0526i | −0.379199 | − | 1.41519i | ||||
\(724\) | 45.0333i | 1.67365i | ||||||||
\(725\) | 8.76795 | − | 20.5263i | 0.325633 | − | 0.762327i | ||||
\(726\) | 28.5885i | 1.06102i | ||||||||
\(727\) | −17.2942 | − | 17.2942i | −0.641407 | − | 0.641407i | 0.309494 | − | 0.950901i | \(-0.399840\pi\) |
−0.950901 | + | 0.309494i | \(0.899840\pi\) | |||||||
\(728\) | 30.0000 | + | 10.3923i | 1.11187 | + | 0.385164i | ||||
\(729\) | − | 17.5885i | − | 0.651424i | ||||||
\(730\) | −23.7128 | − | 11.8564i | −0.877651 | − | 0.438825i | ||||
\(731\) | 7.09808 | + | 12.2942i | 0.262532 | + | 0.454718i | ||||
\(732\) | −27.1244 | + | 27.1244i | −1.00255 | + | 1.00255i | ||||
\(733\) | 21.2942 | − | 5.70577i | 0.786520 | − | 0.210747i | 0.156863 | − | 0.987620i | \(-0.449862\pi\) |
0.629657 | + | 0.776873i | \(0.283195\pi\) | |||||||
\(734\) | −10.2224 | + | 5.90192i | −0.377317 | + | 0.217844i | ||||
\(735\) | 10.2321 | − | 28.4545i | 0.377415 | − | 1.04956i | ||||
\(736\) | −7.60770 | − | 4.39230i | −0.280423 | − | 0.161903i | ||||
\(737\) | 0.758330 | + | 2.83013i | 0.0279335 | + | 0.104249i | ||||
\(738\) | 0.464102 | − | 0.124356i | 0.0170838 | − | 0.00457759i | ||||
\(739\) | −5.83013 | − | 10.0981i | −0.214465 | − | 0.371464i | 0.738642 | − | 0.674098i | \(-0.235467\pi\) |
−0.953107 | + | 0.302634i | \(0.902134\pi\) | |||||||
\(740\) | 22.3923 | + | 19.8564i | 0.823157 | + | 0.729936i | ||||
\(741\) | −28.3923 | −1.04302 | ||||||||
\(742\) | −2.19615 | − | 11.4115i | −0.0806233 | − | 0.418931i | ||||
\(743\) | −33.4186 | − | 33.4186i | −1.22601 | − | 1.22601i | −0.965461 | − | 0.260548i | \(-0.916097\pi\) |
−0.260548 | − | 0.965461i | \(-0.583903\pi\) | |||||||
\(744\) | −48.2487 | − | 27.8564i | −1.76888 | − | 1.02127i | ||||
\(745\) | −3.03590 | − | 50.5788i | −0.111227 | − | 1.85307i | ||||
\(746\) | −6.92820 | + | 12.0000i | −0.253660 | + | 0.439351i | ||||
\(747\) | 1.22243 | + | 4.56218i | 0.0447264 | + | 0.166921i | ||||
\(748\) | 6.00000 | − | 1.60770i | 0.219382 | − | 0.0587832i | ||||
\(749\) | −14.5622 | − | 1.04552i | −0.532090 | − | 0.0382024i | ||||
\(750\) | 19.7583 | + | 23.2942i | 0.721472 | + | 0.850585i | ||||
\(751\) | 5.19615 | − | 9.00000i | 0.189610 | − | 0.328415i | −0.755510 | − | 0.655137i | \(-0.772611\pi\) |
0.945120 | + | 0.326722i | \(0.105944\pi\) | |||||||
\(752\) | −2.53590 | + | 0.679492i | −0.0924747 | + | 0.0247785i | ||||
\(753\) | 9.83013 | − | 36.6865i | 0.358230 | − | 1.33693i | ||||
\(754\) | 26.7846i | 0.975438i | ||||||||
\(755\) | 27.6077 | + | 13.8038i | 1.00475 | + | 0.502373i | ||||
\(756\) | 10.1244 | + | 20.8564i | 0.368219 | + | 0.758540i | ||||
\(757\) | −37.0526 | − | 37.0526i | −1.34670 | − | 1.34670i | −0.889222 | − | 0.457476i | \(-0.848753\pi\) |
−0.457476 | − | 0.889222i | \(-0.651247\pi\) | |||||||
\(758\) | −30.2487 | − | 30.2487i | −1.09868 | − | 1.09868i | ||||
\(759\) | −1.09808 | − | 1.90192i | −0.0398576 | − | 0.0690355i | ||||
\(760\) | 14.5359 | − | 16.3923i | 0.527272 | − | 0.594611i | ||||
\(761\) | −30.8038 | − | 17.7846i | −1.11664 | − | 0.644692i | −0.176098 | − | 0.984373i | \(-0.556348\pi\) |
−0.940541 | + | 0.339681i | \(0.889681\pi\) | |||||||
\(762\) | −11.0000 | + | 41.0526i | −0.398488 | + | 1.48718i | ||||
\(763\) | 2.13397 | + | 11.0885i | 0.0772551 | + | 0.401429i | ||||
\(764\) | −5.41154 | − | 3.12436i | −0.195783 | − | 0.113035i | ||||
\(765\) | 1.39230 | − | 6.80385i | 0.0503389 | − | 0.245994i | ||||
\(766\) | −5.36603 | + | 9.29423i | −0.193882 | + | 0.335814i | ||||
\(767\) | 36.5885 | + | 9.80385i | 1.32113 | + | 0.353996i | ||||
\(768\) | −8.00000 | + | 29.8564i | −0.288675 | + | 1.07735i | ||||
\(769\) | 22.6410 | 0.816456 | 0.408228 | − | 0.912880i | \(-0.366147\pi\) | ||||
0.408228 | + | 0.912880i | \(0.366147\pi\) | |||||||
\(770\) | −6.12436 | − | 0.0717968i | −0.220706 | − | 0.00258738i | ||||
\(771\) | 51.7128i | 1.86239i | ||||||||
\(772\) | 23.1244 | + | 6.19615i | 0.832264 | + | 0.223004i | ||||
\(773\) | −3.50962 | + | 13.0981i | −0.126232 | + | 0.471105i | −0.999881 | − | 0.0154528i | \(-0.995081\pi\) |
0.873648 | + | 0.486558i | \(0.161748\pi\) | |||||||
\(774\) | −3.00000 | − | 1.73205i | −0.107833 | − | 0.0622573i | ||||
\(775\) | 6.09808 | + | 50.6147i | 0.219049 | + | 1.81814i | ||||
\(776\) | 25.0718 | 0.900025 | ||||||||
\(777\) | −11.1962 | + | 32.3205i | −0.401660 | + | 1.15949i | ||||
\(778\) | 5.51666 | − | 20.5885i | 0.197782 | − | 0.738132i | ||||
\(779\) | −0.803848 | + | 1.39230i | −0.0288008 | + | 0.0498845i | ||||
\(780\) | −32.7846 | − | 16.3923i | −1.17388 | − | 0.586939i | ||||
\(781\) | 9.80385 | − | 5.66025i | 0.350809 | − | 0.202540i | ||||
\(782\) | 6.58846 | − | 6.58846i | 0.235603 | − | 0.235603i | ||||
\(783\) | −13.8301 | + | 13.8301i | −0.494248 | + | 0.494248i | ||||
\(784\) | −22.0000 | − | 17.3205i | −0.785714 | − | 0.618590i | ||||
\(785\) | −37.3923 | + | 12.4641i | −1.33459 | + | 0.444863i | ||||
\(786\) | − | 20.3923i | − | 0.727369i | ||||||
\(787\) | 10.1603 | + | 2.72243i | 0.362174 | + | 0.0970442i | 0.435317 | − | 0.900277i | \(-0.356636\pi\) |
−0.0731430 | + | 0.997321i | \(0.523303\pi\) | |||||||
\(788\) | −11.0718 | + | 11.0718i | −0.394416 | + | 0.394416i | ||||
\(789\) | −0.696152 | − | 0.401924i | −0.0247837 | − | 0.0143089i | ||||
\(790\) | −30.5885 | − | 27.1244i | −1.08829 | − | 0.965041i | ||||
\(791\) | −4.14359 | − | 8.53590i | −0.147329 | − | 0.303502i | ||||
\(792\) | −1.07180 | + | 1.07180i | −0.0380846 | + | 0.0380846i | ||||
\(793\) | −40.6865 | + | 10.9019i | −1.44482 | + | 0.387139i | ||||
\(794\) | 15.9282 | − | 27.5885i | 0.565271 | − | 0.979078i | ||||
\(795\) | 0.803848 | + | 13.3923i | 0.0285095 | + | 0.474976i | ||||
\(796\) | 6.00000 | − | 3.46410i | 0.212664 | − | 0.122782i | ||||
\(797\) | −0.928203 | + | 0.928203i | −0.0328786 | + | 0.0328786i | −0.723355 | − | 0.690476i | \(-0.757401\pi\) |
0.690476 | + | 0.723355i | \(0.257401\pi\) | |||||||
\(798\) | 23.6603 | + | 8.19615i | 0.837564 | + | 0.290141i | ||||
\(799\) | − | 2.78461i | − | 0.0985124i | ||||||
\(800\) | 26.2487 | − | 10.5359i | 0.928032 | − | 0.372500i | ||||
\(801\) | 10.9019 | − | 6.29423i | 0.385201 | − | 0.222396i | ||||
\(802\) | −41.9545 | + | 11.2417i | −1.48146 | + | 0.396957i | ||||
\(803\) | −5.92820 | + | 1.58846i | −0.209202 | + | 0.0560554i | ||||
\(804\) | 7.73205 | − | 13.3923i | 0.272688 | − | 0.472310i | ||||
\(805\) | −8.00962 | + | 4.50000i | −0.282302 | + | 0.158604i | ||||
\(806\) | −30.5885 | − | 52.9808i | −1.07743 | − | 1.86617i | ||||
\(807\) | 1.76795 | + | 6.59808i | 0.0622348 | + | 0.232263i | ||||
\(808\) | −27.6603 | − | 7.41154i | −0.973084 | − | 0.260737i | ||||
\(809\) | −40.5788 | + | 23.4282i | −1.42668 | + | 0.823692i | −0.996857 | − | 0.0792233i | \(-0.974756\pi\) |
−0.429819 | + | 0.902915i | \(0.641423\pi\) | |||||||
\(810\) | −10.6603 | − | 31.9808i | −0.374563 | − | 1.12369i | ||||
\(811\) | −30.3397 | −1.06537 | −0.532686 | − | 0.846313i | \(-0.678817\pi\) | ||||
−0.532686 | + | 0.846313i | \(0.678817\pi\) | |||||||
\(812\) | 7.73205 | − | 22.3205i | 0.271342 | − | 0.783296i | ||||
\(813\) | −16.3923 | + | 16.3923i | −0.574903 | + | 0.574903i | ||||
\(814\) | 6.92820 | 0.242833 | ||||||||
\(815\) | 6.29423 | + | 5.58142i | 0.220477 | + | 0.195508i | ||||
\(816\) | −28.3923 | − | 16.3923i | −0.993929 | − | 0.573845i | ||||
\(817\) | 11.1962 | − | 3.00000i | 0.391704 | − | 0.104957i | ||||
\(818\) | 4.16987 | − | 15.5622i | 0.145796 | − | 0.544119i | ||||
\(819\) | 0.588457 | − | 8.19615i | 0.0205624 | − | 0.286397i | ||||
\(820\) | −1.73205 | + | 1.14359i | −0.0604858 | + | 0.0399360i | ||||
\(821\) | 9.92820 | + | 5.73205i | 0.346497 | + | 0.200050i | 0.663141 | − | 0.748494i | \(-0.269223\pi\) |
−0.316645 | + | 0.948544i | \(0.602556\pi\) | |||||||
\(822\) | −22.3923 | + | 6.00000i | −0.781021 | + | 0.209274i | ||||
\(823\) | 3.66987 | − | 13.6962i | 0.127924 | − | 0.477418i | −0.872003 | − | 0.489500i | \(-0.837179\pi\) |
0.999927 | + | 0.0120822i | \(0.00384597\pi\) | |||||||
\(824\) | 31.5167 | + | 18.1962i | 1.09793 | + | 0.633893i | ||||
\(825\) | 7.00000 | + | 1.00000i | 0.243709 | + | 0.0348155i | ||||
\(826\) | −27.6603 | − | 18.7321i | −0.962423 | − | 0.651771i | ||||
\(827\) | −17.1506 | − | 17.1506i | −0.596386 | − | 0.596386i | 0.342963 | − | 0.939349i | \(-0.388569\pi\) |
−0.939349 | + | 0.342963i | \(0.888569\pi\) | |||||||
\(828\) | −0.588457 | + | 2.19615i | −0.0204503 | + | 0.0763216i | ||||
\(829\) | 8.19615 | − | 4.73205i | 0.284664 | − | 0.164351i | −0.350869 | − | 0.936425i | \(-0.614114\pi\) |
0.635533 | + | 0.772074i | \(0.280780\pi\) | |||||||
\(830\) | −11.2417 | − | 17.0263i | −0.390204 | − | 0.590991i | ||||
\(831\) | −32.4904 | − | 18.7583i | −1.12708 | − | 0.650719i | ||||
\(832\) | −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 | ||||
\(835\) | −10.2058 | − | 2.08846i | −0.353185 | − | 0.0722740i | ||||
\(836\) | − | 5.07180i | − | 0.175412i | ||||||
\(837\) | 11.5622 | − | 43.1506i | 0.399647 | − | 1.49150i | ||||
\(838\) | −2.39230 | + | 2.39230i | −0.0826408 | + | 0.0826408i | ||||
\(839\) | 14.1962 | 0.490106 | 0.245053 | − | 0.969510i | \(-0.421195\pi\) | ||||
0.245053 | + | 0.969510i | \(0.421195\pi\) | |||||||
\(840\) | 22.5885 | + | 23.1244i | 0.779376 | + | 0.797866i | ||||
\(841\) | −9.07180 | −0.312821 | ||||||||
\(842\) | 30.1244 | − | 30.1244i | 1.03815 | − | 1.03815i | ||||
\(843\) | 12.1244 | − | 45.2487i | 0.417585 | − | 1.55845i | ||||
\(844\) | 41.0718 | 1.41375 | ||||||||
\(845\) | −6.16025 | − | 9.33013i | −0.211919 | − | 0.320966i | ||||
\(846\) | 0.339746 | + | 0.588457i | 0.0116807 | + | 0.0202316i | ||||
\(847\) | 20.9282 | − | 18.1244i | 0.719102 | − | 0.622760i | ||||
\(848\) | 12.0000 | + | 3.21539i | 0.412082 | + | 0.110417i | ||||
\(849\) | −23.4904 | − | 13.5622i | −0.806188 | − | 0.465453i | ||||
\(850\) | 3.58846 | + | 29.7846i | 0.123083 | + | 1.02160i | ||||
\(851\) | 9.00000 | − | 5.19615i | 0.308516 | − | 0.178122i | ||||
\(852\) | −57.7128 | − | 15.4641i | −1.97721 | − | 0.529791i | ||||
\(853\) | −29.3205 | − | 29.3205i | −1.00392 | − | 1.00392i | −0.999992 | − | 0.00392277i | \(-0.998751\pi\) |
−0.00392277 | − | 0.999992i | \(-0.501249\pi\) | |||||||
\(854\) | 37.0526 | + | 2.66025i | 1.26791 | + | 0.0910320i | ||||
\(855\) | −5.07180 | − | 2.53590i | −0.173452 | − | 0.0867259i | ||||
\(856\) | 7.80385 | − | 13.5167i | 0.266730 | − | 0.461990i | ||||
\(857\) | 4.22243 | − | 15.7583i | 0.144236 | − | 0.538294i | −0.855553 | − | 0.517716i | \(-0.826782\pi\) |
0.999788 | − | 0.0205786i | \(-0.00655083\pi\) | |||||||
\(858\) | −8.19615 | + | 2.19615i | −0.279812 | + | 0.0749754i | ||||
\(859\) | −14.1962 | − | 8.19615i | −0.484366 | − | 0.279649i | 0.237868 | − | 0.971298i | \(-0.423551\pi\) |
−0.722234 | + | 0.691648i | \(0.756885\pi\) | |||||||
\(860\) | 14.6603 | + | 3.00000i | 0.499911 | + | 0.102299i | ||||
\(861\) | −1.96410 | − | 1.33013i | −0.0669364 | − | 0.0453306i | ||||
\(862\) | 4.85641 | − | 18.1244i | 0.165410 | − | 0.617318i | ||||
\(863\) | −23.2583 | + | 6.23205i | −0.791723 | + | 0.212141i | −0.631947 | − | 0.775012i | \(-0.717744\pi\) |
−0.159776 | + | 0.987153i | \(0.551077\pi\) | |||||||
\(864\) | −24.7846 | −0.843190 | ||||||||
\(865\) | −0.712813 | + | 0.803848i | −0.0242364 | + | 0.0273316i | ||||
\(866\) | 22.9282 | 0.779132 | ||||||||
\(867\) | 1.36603 | − | 1.36603i | 0.0463927 | − | 0.0463927i | ||||
\(868\) | 10.1962 | + | 52.9808i | 0.346080 | + | 1.79828i | ||||
\(869\) | −9.46410 | −0.321048 | ||||||||
\(870\) | −12.1962 | + | 24.3923i | −0.413488 | + | 0.826977i | ||||
\(871\) | 14.7058 | − | 8.49038i | 0.498286 | − | 0.287686i | ||||
\(872\) | −11.6603 | − | 3.12436i | −0.394866 | − | 0.105804i | ||||
\(873\) | −1.67949 | − | 6.26795i | −0.0568422 | − | 0.212138i | ||||
\(874\) | −3.80385 | − | 6.58846i | −0.128667 | − | 0.222858i | ||||
\(875\) | 4.52628 | − | 29.2321i | 0.153016 | − | 0.988224i | ||||
\(876\) | 28.0526 | + | 16.1962i | 0.947808 | + | 0.547217i | ||||
\(877\) | −19.3923 | + | 5.19615i | −0.654832 | + | 0.175462i | −0.570912 | − | 0.821011i | \(-0.693410\pi\) |
−0.0839192 | + | 0.996473i | \(0.526744\pi\) | |||||||
\(878\) | 7.26795 | − | 1.94744i | 0.245281 | − | 0.0657230i | ||||
\(879\) | −9.92820 | + | 5.73205i | −0.334870 | + | 0.193337i | ||||
\(880\) | 2.92820 | − | 5.85641i | 0.0987097 | − | 0.197419i | ||||
\(881\) | 27.2487i | 0.918032i | 0.888428 | + | 0.459016i | \(0.151798\pi\) | ||||
−0.888428 | + | 0.459016i | \(0.848202\pi\) | |||||||
\(882\) | −2.85641 | + | 6.66025i | −0.0961802 | + | 0.224262i | ||||
\(883\) | −15.2487 | + | 15.2487i | −0.513160 | + | 0.513160i | −0.915493 | − | 0.402333i | \(-0.868199\pi\) |
0.402333 | + | 0.915493i | \(0.368199\pi\) | |||||||
\(884\) | −18.0000 | − | 31.1769i | −0.605406 | − | 1.04859i | ||||
\(885\) | 28.8564 | + | 25.5885i | 0.969997 | + | 0.860147i | ||||
\(886\) | 24.4186 | − | 42.2942i | 0.820358 | − | 1.42090i | ||||
\(887\) | −3.06218 | + | 0.820508i | −0.102818 | + | 0.0275500i | −0.309861 | − | 0.950782i | \(-0.600283\pi\) |
0.207043 | + | 0.978332i | \(0.433616\pi\) | |||||||
\(888\) | −25.8564 | − | 25.8564i | −0.867684 | − | 0.867684i | ||||
\(889\) | 37.0263 | − | 17.9737i | 1.24182 | − | 0.602819i | ||||
\(890\) | −36.0788 | + | 40.6865i | −1.20937 | + | 1.36382i | ||||
\(891\) | −6.75833 | − | 3.90192i | −0.226413 | − | 0.130719i | ||||
\(892\) | 15.8564 | + | 15.8564i | 0.530912 | + | 0.530912i | ||||
\(893\) | −2.19615 | − | 0.588457i | −0.0734914 | − | 0.0196920i | ||||
\(894\) | 61.9090i | 2.07055i | ||||||||
\(895\) | 28.1051 | + | 14.0526i | 0.939450 | + | 0.469725i | ||||
\(896\) | 26.9282 | − | 13.0718i | 0.899608 | − | 0.436698i | ||||
\(897\) | −9.00000 | + | 9.00000i | −0.300501 | + | 0.300501i | ||||
\(898\) | −23.1962 | + | 23.1962i | −0.774066 | + | 0.774066i | ||||
\(899\) | −39.4186 | + | 22.7583i | −1.31468 | + | 0.759033i | ||||
\(900\) | −4.39230 | − | 5.85641i | −0.146410 | − | 0.195214i | ||||
\(901\) | −6.58846 | + | 11.4115i | −0.219493 | + | 0.380174i | ||||
\(902\) | −0.124356 | + | 0.464102i | −0.00414059 | + | 0.0154529i | ||||
\(903\) | 3.23205 | + | 16.7942i | 0.107556 | + | 0.558877i | ||||
\(904\) | 10.1436 | 0.337371 | ||||||||
\(905\) | −42.0167 | + | 27.7417i | −1.39668 | + | 0.922164i | ||||
\(906\) | −32.6603 | − | 18.8564i | −1.08506 | − | 0.626462i | ||||
\(907\) | 1.20577 | − | 4.50000i | 0.0400370 | − | 0.149420i | −0.943014 | − | 0.332754i | \(-0.892022\pi\) |
0.983051 | + | 0.183334i | \(0.0586889\pi\) | |||||||
\(908\) | −6.87564 | + | 25.6603i | −0.228176 | + | 0.851565i | ||||
\(909\) | 7.41154i | 0.245825i | ||||||||
\(910\) | 8.78461 | + | 34.3923i | 0.291207 | + | 1.14009i | ||||
\(911\) | 8.19615 | 0.271551 | 0.135775 | − | 0.990740i | \(-0.456647\pi\) | ||||
0.135775 | + | 0.990740i | \(0.456647\pi\) | |||||||
\(912\) | −18.9282 | + | 18.9282i | −0.626775 | + | 0.626775i | ||||
\(913\) | −4.56218 | − | 1.22243i | −0.150986 | − | 0.0404566i | ||||
\(914\) | −10.1962 | + | 17.6603i | −0.337259 | + | 0.584149i | ||||
\(915\) | −42.0167 | − | 8.59808i | −1.38903 | − | 0.284244i | ||||
\(916\) | 15.4641 | − | 26.7846i | 0.510948 | − | 0.884988i | ||||
\(917\) | −14.9282 | + | 12.9282i | −0.492973 | + | 0.426927i | ||||
\(918\) | 6.80385 | − | 25.3923i | 0.224560 | − | 0.838071i | ||||
\(919\) | −39.0000 | − | 22.5167i | −1.28649 | − | 0.742756i | −0.308465 | − | 0.951236i | \(-0.599815\pi\) |
−0.978027 | + | 0.208480i | \(0.933148\pi\) | |||||||
\(920\) | −0.588457 | − | 9.80385i | −0.0194009 | − | 0.323223i | ||||
\(921\) | −1.03590 | − | 1.79423i | −0.0341340 | − | 0.0591218i | ||||
\(922\) | 12.1436 | + | 12.1436i | 0.399928 | + | 0.399928i | ||||
\(923\) | −46.3923 | − | 46.3923i | −1.52702 | − | 1.52702i | ||||
\(924\) | 7.46410 | + | 0.535898i | 0.245551 | + | 0.0176298i | ||||
\(925\) | −4.73205 | + | 33.1244i | −0.155589 | + | 1.08912i | ||||
\(926\) | − | 1.66025i | − | 0.0545593i | ||||||
\(927\) | 2.43782 | − | 9.09808i | 0.0800686 | − | 0.298820i | ||||
\(928\) | 17.8564 | + | 17.8564i | 0.586165 | + | 0.586165i | ||||
\(929\) | −4.16025 | + | 7.20577i | −0.136494 | + | 0.236414i | −0.926167 | − | 0.377114i | \(-0.876917\pi\) |
0.789673 | + | 0.613527i | \(0.210250\pi\) | |||||||
\(930\) | −3.73205 | − | 62.1769i | −0.122379 | − | 2.03886i | ||||
\(931\) | −9.00000 | − | 22.5167i | −0.294963 | − | 0.737954i | ||||
\(932\) | 3.80385 | + | 14.1962i | 0.124599 | + | 0.465010i | ||||
\(933\) | 12.4641 | + | 46.5167i | 0.408056 | + | 1.52289i | ||||
\(934\) | −4.56218 | + | 7.90192i | −0.149279 | + | 0.258559i | ||||
\(935\) | 5.19615 | + | 4.60770i | 0.169932 | + | 0.150688i | ||||
\(936\) | 7.60770 | + | 4.39230i | 0.248665 | + | 0.143567i | ||||
\(937\) | 0.392305 | + | 0.392305i | 0.0128160 | + | 0.0128160i | 0.713486 | − | 0.700670i | \(-0.247115\pi\) |
−0.700670 | + | 0.713486i | \(0.747115\pi\) | |||||||
\(938\) | −14.7058 | + | 2.83013i | −0.480160 | + | 0.0924069i | ||||
\(939\) | 32.2487 | 1.05240 | ||||||||
\(940\) | −2.19615 | − | 1.94744i | −0.0716306 | − | 0.0635185i | ||||
\(941\) | 9.73205 | + | 16.8564i | 0.317256 | + | 0.549503i | 0.979914 | − | 0.199418i | \(-0.0639053\pi\) |
−0.662659 | + | 0.748922i | \(0.730572\pi\) | |||||||
\(942\) | 46.5167 | − | 12.4641i | 1.51559 | − | 0.406102i | ||||
\(943\) | 0.186533 | + | 0.696152i | 0.00607437 | + | 0.0226698i | ||||
\(944\) | 30.9282 | − | 17.8564i | 1.00663 | − | 0.581177i | ||||
\(945\) | −13.2224 | + | 22.2942i | −0.430126 | + | 0.725231i | ||||
\(946\) | 3.00000 | − | 1.73205i | 0.0975384 | − | 0.0563138i | ||||
\(947\) | 22.3301 | − | 5.98334i | 0.725632 | − | 0.194432i | 0.122949 | − | 0.992413i | \(-0.460765\pi\) |
0.602683 | + | 0.797981i | \(0.294098\pi\) | |||||||
\(948\) | 35.3205 | + | 35.3205i | 1.14716 | + | 1.14716i | ||||
\(949\) | 17.7846 | + | 30.8038i | 0.577313 | + | 0.999935i | ||||
\(950\) | 24.2487 | + | 3.46410i | 0.786732 | + | 0.112390i | ||||
\(951\) | 8.73205i | 0.283156i | ||||||||
\(952\) | 6.00000 | + | 31.1769i | 0.194461 | + | 1.01045i | ||||
\(953\) | 3.46410 | + | 3.46410i | 0.112213 | + | 0.112213i | 0.760984 | − | 0.648771i | \(-0.224717\pi\) |
−0.648771 | + | 0.760984i | \(0.724717\pi\) | |||||||
\(954\) | − | 3.21539i | − | 0.104102i | ||||||
\(955\) | −0.418584 | − | 6.97372i | −0.0135451 | − | 0.225664i | ||||
\(956\) | 9.46410 | 0.306091 | ||||||||
\(957\) | 1.63397 | + | 6.09808i | 0.0528189 | + | 0.197123i | ||||
\(958\) | 1.39230 | − | 5.19615i | 0.0449833 | − | 0.167880i | ||||
\(959\) | 18.5885 | + | 12.5885i | 0.600253 | + | 0.406502i | ||||
\(960\) | −32.7846 | + | 10.9282i | −1.05812 | + | 0.352706i | ||||
\(961\) | 36.4808 | − | 63.1865i | 1.17680 | − | 2.03828i | ||||
\(962\) | −10.3923 | − | 38.7846i | −0.335061 | − | 1.25047i | ||||
\(963\) | −3.90192 | − | 1.04552i | −0.125738 | − | 0.0336913i | ||||
\(964\) | −20.3923 | − | 35.3205i | −0.656792 | − | 1.13760i | ||||
\(965\) | 8.46410 | + | 25.3923i | 0.272469 | + | 0.817407i | ||||
\(966\) | 10.0981 | − | 4.90192i | 0.324900 | − | 0.157717i | ||||
\(967\) | −10.5096 | + | 10.5096i | −0.337967 | + | 0.337967i | −0.855602 | − | 0.517635i | \(-0.826813\pi\) |
0.517635 | + | 0.855602i | \(0.326813\pi\) | |||||||
\(968\) | 7.66025 | + | 28.5885i | 0.246210 | + | 0.918868i | ||||
\(969\) | −14.1962 | − | 24.5885i | −0.456046 | − | 0.789895i | ||||
\(970\) | 15.4449 | + | 23.3923i | 0.495905 | + | 0.751082i | ||||
\(971\) | −10.0000 | + | 17.3205i | −0.320915 | + | 0.555842i | −0.980677 | − | 0.195633i | \(-0.937324\pi\) |
0.659762 | + | 0.751475i | \(0.270657\pi\) | |||||||
\(972\) | 3.85641 | + | 14.3923i | 0.123694 | + | 0.461633i | ||||
\(973\) | −1.09808 | + | 3.16987i | −0.0352027 | + | 0.101621i | ||||
\(974\) | 13.9282 | + | 24.1244i | 0.446288 | + | 0.772994i | ||||
\(975\) | −4.90192 | − | 40.6865i | −0.156987 | − | 1.30301i | ||||
\(976\) | −19.8564 | + | 34.3923i | −0.635588 | + | 1.10087i | ||||
\(977\) | 20.0263 | + | 5.36603i | 0.640697 | + | 0.171674i | 0.564519 | − | 0.825420i | \(-0.309062\pi\) |
0.0761781 | + | 0.997094i | \(0.475728\pi\) | |||||||
\(978\) | −7.26795 | − | 7.26795i | −0.232403 | − | 0.232403i | ||||
\(979\) | 12.5885i | 0.402329i | ||||||||
\(980\) | 2.60770 | − | 31.1962i | 0.0832998 | − | 0.996525i | ||||
\(981\) | 3.12436i | 0.0997530i | ||||||||
\(982\) | 12.1962 | − | 12.1962i | 0.389195 | − | 0.389195i | ||||
\(983\) | 12.2321 | + | 3.27757i | 0.390142 | + | 0.104538i | 0.448557 | − | 0.893754i | \(-0.351938\pi\) |
−0.0584153 | + | 0.998292i | \(0.518605\pi\) | |||||||
\(984\) | 2.19615 | − | 1.26795i | 0.0700108 | − | 0.0404207i | ||||
\(985\) | −17.1506 | − | 3.50962i | −0.546465 | − | 0.111826i | ||||
\(986\) | −23.1962 | + | 13.3923i | −0.738716 | + | 0.426498i | ||||
\(987\) | 1.09808 | − | 3.16987i | 0.0349522 | − | 0.100898i | ||||
\(988\) | −28.3923 | + | 7.60770i | −0.903280 | + | 0.242033i | ||||
\(989\) | 2.59808 | − | 4.50000i | 0.0826140 | − | 0.143092i | ||||
\(990\) | −1.66025 | − | 0.339746i | −0.0527663 | − | 0.0107978i | ||||
\(991\) | −17.6865 | − | 30.6340i | −0.561831 | − | 0.973120i | −0.997337 | − | 0.0729342i | \(-0.976764\pi\) |
0.435506 | − | 0.900186i | \(-0.356570\pi\) | |||||||
\(992\) | −55.7128 | − | 14.9282i | −1.76888 | − | 0.473971i | ||||
\(993\) | −9.92820 | + | 9.92820i | −0.315062 | + | 0.315062i | ||||
\(994\) | 25.2679 | + | 52.0526i | 0.801451 | + | 1.65101i | ||||
\(995\) | 6.92820 | + | 3.46410i | 0.219639 | + | 0.109819i | ||||
\(996\) | 12.4641 | + | 21.5885i | 0.394940 | + | 0.684056i | ||||
\(997\) | −11.1962 | − | 3.00000i | −0.354586 | − | 0.0950110i | 0.0771291 | − | 0.997021i | \(-0.475425\pi\) |
−0.431715 | + | 0.902010i | \(0.642091\pi\) | |||||||
\(998\) | 18.4641 | − | 4.94744i | 0.584471 | − | 0.156609i | ||||
\(999\) | 14.6603 | − | 25.3923i | 0.463830 | − | 0.803377i |
(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.a.173.1 | yes | 4 | |
5.2 | odd | 4 | 280.2.bv.d.117.1 | yes | 4 | ||
7.3 | odd | 6 | 280.2.bv.c.213.1 | yes | 4 | ||
8.5 | even | 2 | 280.2.bv.b.173.1 | yes | 4 | ||
35.17 | even | 12 | 280.2.bv.b.157.1 | yes | 4 | ||
40.37 | odd | 4 | 280.2.bv.c.117.1 | yes | 4 | ||
56.45 | odd | 6 | 280.2.bv.d.213.1 | yes | 4 | ||
280.157 | even | 12 | inner | 280.2.bv.a.157.1 | ✓ | 4 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
280.2.bv.a.157.1 | ✓ | 4 | 280.157 | even | 12 | inner | |
280.2.bv.a.173.1 | yes | 4 | 1.1 | even | 1 | trivial | |
280.2.bv.b.157.1 | yes | 4 | 35.17 | even | 12 | ||
280.2.bv.b.173.1 | yes | 4 | 8.5 | even | 2 | ||
280.2.bv.c.117.1 | yes | 4 | 40.37 | odd | 4 | ||
280.2.bv.c.213.1 | yes | 4 | 7.3 | odd | 6 | ||
280.2.bv.d.117.1 | yes | 4 | 5.2 | odd | 4 | ||
280.2.bv.d.213.1 | yes | 4 | 56.45 | odd | 6 |