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 | 117.1 | ||
Root | \(-0.866025 + 0.500000i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 280.117 |
Dual form | 280.2.bv.d.213.1 |
$q$-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 \(\left(\mathbb{Z}/280\mathbb{Z}\right)^\times\).
\(n\) | \(57\) | \(71\) | \(141\) | \(241\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(1\) | \(-1\) | \(e\left(\frac{5}{6}\right)\) |
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 | ||||
\(3\) | 1.86603 | + | 0.500000i | 1.07735 | + | 0.288675i | 0.753510 | − | 0.657437i | \(-0.228359\pi\) |
0.323840 | + | 0.946112i | \(0.395026\pi\) | |||||||
\(4\) | − | 2.00000i | − | 1.00000i | ||||||
\(5\) | −0.133975 | + | 2.23205i | −0.0599153 | + | 0.998203i | ||||
\(6\) | 2.36603 | − | 1.36603i | 0.965926 | − | 0.557678i | ||||
\(7\) | 0.866025 | − | 2.50000i | 0.327327 | − | 0.944911i | ||||
\(8\) | −2.00000 | − | 2.00000i | −0.707107 | − | 0.707107i | ||||
\(9\) | 0.633975 | + | 0.366025i | 0.211325 | + | 0.122008i | ||||
\(10\) | 2.09808 | + | 2.36603i | 0.663470 | + | 0.748203i | ||||
\(11\) | 0.633975 | − | 0.366025i | 0.191151 | − | 0.110361i | −0.401371 | − | 0.915916i | \(-0.631466\pi\) |
0.592521 | + | 0.805555i | \(0.298133\pi\) | |||||||
\(12\) | 1.00000 | − | 3.73205i | 0.288675 | − | 1.07735i | ||||
\(13\) | −3.00000 | + | 3.00000i | −0.832050 | + | 0.832050i | −0.987797 | − | 0.155747i | \(-0.950222\pi\) |
0.155747 | + | 0.987797i | \(0.450222\pi\) | |||||||
\(14\) | −1.63397 | − | 3.36603i | −0.436698 | − | 0.899608i | ||||
\(15\) | −1.36603 | + | 4.09808i | −0.352706 | + | 1.05812i | ||||
\(16\) | −4.00000 | −1.00000 | ||||||||
\(17\) | 4.09808 | + | 1.09808i | 0.993929 | + | 0.266323i | 0.718900 | − | 0.695113i | \(-0.244646\pi\) |
0.275029 | + | 0.961436i | \(0.411312\pi\) | |||||||
\(18\) | 1.00000 | − | 0.267949i | 0.235702 | − | 0.0631562i | ||||
\(19\) | 3.00000 | + | 1.73205i | 0.688247 | + | 0.397360i | 0.802955 | − | 0.596040i | \(-0.203260\pi\) |
−0.114708 | + | 0.993399i | \(0.536593\pi\) | |||||||
\(20\) | 4.46410 | + | 0.267949i | 0.998203 | + | 0.0599153i | ||||
\(21\) | 2.86603 | − | 4.23205i | 0.625418 | − | 0.923509i | ||||
\(22\) | 0.267949 | − | 1.00000i | 0.0571270 | − | 0.213201i | ||||
\(23\) | 0.401924 | + | 1.50000i | 0.0838069 | + | 0.312772i | 0.995086 | − | 0.0990186i | \(-0.0315703\pi\) |
−0.911279 | + | 0.411790i | \(0.864904\pi\) | |||||||
\(24\) | −2.73205 | − | 4.73205i | −0.557678 | − | 0.965926i | ||||
\(25\) | −4.96410 | − | 0.598076i | −0.992820 | − | 0.119615i | ||||
\(26\) | 6.00000i | 1.17670i | ||||||||
\(27\) | −3.09808 | − | 3.09808i | −0.596225 | − | 0.596225i | ||||
\(28\) | −5.00000 | − | 1.73205i | −0.944911 | − | 0.327327i | ||||
\(29\) | −4.46410 | −0.828963 | −0.414481 | − | 0.910058i | \(-0.636037\pi\) | ||||
−0.414481 | + | 0.910058i | \(0.636037\pi\) | |||||||
\(30\) | 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 | ||||
\(33\) | 1.36603 | − | 0.366025i | 0.237795 | − | 0.0637168i | ||||
\(34\) | 5.19615 | − | 3.00000i | 0.891133 | − | 0.514496i | ||||
\(35\) | 5.46410 | + | 2.26795i | 0.923602 | + | 0.383353i | ||||
\(36\) | 0.732051 | − | 1.26795i | 0.122008 | − | 0.211325i | ||||
\(37\) | −1.73205 | − | 6.46410i | −0.284747 | − | 1.06269i | −0.949024 | − | 0.315205i | \(-0.897927\pi\) |
0.664276 | − | 0.747487i | \(-0.268740\pi\) | |||||||
\(38\) | 4.73205 | − | 1.26795i | 0.767640 | − | 0.205689i | ||||
\(39\) | −7.09808 | + | 4.09808i | −1.13660 | + | 0.656217i | ||||
\(40\) | 4.73205 | − | 4.19615i | 0.748203 | − | 0.663470i | ||||
\(41\) | − | 0.464102i | − | 0.0724805i | −0.999343 | − | 0.0362402i | \(-0.988462\pi\) | ||
0.999343 | − | 0.0362402i | \(-0.0115382\pi\) | |||||||
\(42\) | −1.36603 | − | 7.09808i | −0.210782 | − | 1.09526i | ||||
\(43\) | 2.36603 | + | 2.36603i | 0.360815 | + | 0.360815i | 0.864113 | − | 0.503298i | \(-0.167880\pi\) |
−0.503298 | + | 0.864113i | \(0.667880\pi\) | |||||||
\(44\) | −0.732051 | − | 1.26795i | −0.110361 | − | 0.191151i | ||||
\(45\) | −0.901924 | + | 1.36603i | −0.134451 | + | 0.203635i | ||||
\(46\) | 1.90192 | + | 1.09808i | 0.280423 | + | 0.161903i | ||||
\(47\) | 0.169873 | + | 0.633975i | 0.0247785 | + | 0.0924747i | 0.977208 | − | 0.212285i | \(-0.0680905\pi\) |
−0.952429 | + | 0.304760i | \(0.901424\pi\) | |||||||
\(48\) | −7.46410 | − | 2.00000i | −1.07735 | − | 0.288675i | ||||
\(49\) | −5.50000 | − | 4.33013i | −0.785714 | − | 0.618590i | ||||
\(50\) | −5.56218 | + | 4.36603i | −0.786611 | + | 0.617449i | ||||
\(51\) | 7.09808 | + | 4.09808i | 0.993929 | + | 0.573845i | ||||
\(52\) | 6.00000 | + | 6.00000i | 0.832050 | + | 0.832050i | ||||
\(53\) | −0.803848 | + | 3.00000i | −0.110417 | + | 0.412082i | −0.998903 | − | 0.0468214i | \(-0.985091\pi\) |
0.888486 | + | 0.458903i | \(0.151757\pi\) | |||||||
\(54\) | −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 | 0.0964249 | − | 0.995340i | \(-0.469259\pi\) |
0.910202 | + | 0.414164i | \(0.135926\pi\) | |||||||
\(60\) | 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 | \(-0.0525756\pi\) | |||||||
\(62\) | −3.73205 | + | 13.9282i | −0.473971 | + | 1.76888i | ||||
\(63\) | 1.46410 | − | 1.26795i | 0.184459 | − | 0.159747i | ||||
\(64\) | 8.00000i | 1.00000i | ||||||||
\(65\) | −6.29423 | − | 7.09808i | −0.780703 | − | 0.880408i | ||||
\(66\) | 1.00000 | − | 1.73205i | 0.123091 | − | 0.213201i | ||||
\(67\) | −3.86603 | − | 1.03590i | −0.472310 | − | 0.126555i | 0.0148095 | − | 0.999890i | \(-0.495286\pi\) |
−0.487120 | + | 0.873335i | \(0.661952\pi\) | |||||||
\(68\) | 2.19615 | − | 8.19615i | 0.266323 | − | 0.993929i | ||||
\(69\) | 3.00000i | 0.361158i | ||||||||
\(70\) | 7.73205 | − | 3.19615i | 0.924157 | − | 0.382013i | ||||
\(71\) | 15.4641 | 1.83525 | 0.917626 | − | 0.397446i | \(-0.130103\pi\) | ||||
0.917626 | + | 0.397446i | \(0.130103\pi\) | |||||||
\(72\) | −0.535898 | − | 2.00000i | −0.0631562 | − | 0.235702i | ||||
\(73\) | −2.16987 | + | 8.09808i | −0.253964 | + | 0.947808i | 0.714699 | + | 0.699432i | \(0.246564\pi\) |
−0.968664 | + | 0.248376i | \(0.920103\pi\) | |||||||
\(74\) | −8.19615 | − | 4.73205i | −0.952783 | − | 0.550090i | ||||
\(75\) | −8.96410 | − | 3.59808i | −1.03509 | − | 0.415470i | ||||
\(76\) | 3.46410 | − | 6.00000i | 0.397360 | − | 0.688247i | ||||
\(77\) | −0.366025 | − | 1.90192i | −0.0417125 | − | 0.216744i | ||||
\(78\) | −3.00000 | + | 11.1962i | −0.339683 | + | 1.26771i | ||||
\(79\) | 11.1962 | + | 6.46410i | 1.25967 | + | 0.727268i | 0.973009 | − | 0.230765i | \(-0.0741230\pi\) |
0.286656 | + | 0.958034i | \(0.407456\pi\) | |||||||
\(80\) | 0.535898 | − | 8.92820i | 0.0599153 | − | 0.998203i | ||||
\(81\) | −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 | −0.911675 | − | 0.410911i | \(-0.865211\pi\) |
0.410911 | + | 0.911675i | \(0.365211\pi\) | |||||||
\(84\) | −8.46410 | − | 5.73205i | −0.923509 | − | 0.625418i | ||||
\(85\) | −3.00000 | + | 9.00000i | −0.325396 | + | 0.976187i | ||||
\(86\) | 4.73205 | 0.510270 | ||||||||
\(87\) | −8.33013 | − | 2.23205i | −0.893083 | − | 0.239301i | ||||
\(88\) | −2.00000 | − | 0.535898i | −0.213201 | − | 0.0571270i | ||||
\(89\) | 8.59808 | − | 14.8923i | 0.911394 | − | 1.57858i | 0.0992979 | − | 0.995058i | \(-0.468340\pi\) |
0.812096 | − | 0.583523i | \(-0.198326\pi\) | |||||||
\(90\) | 0.464102 | + | 2.26795i | 0.0489206 | + | 0.239063i | ||||
\(91\) | 4.90192 | + | 10.0981i | 0.513861 | + | 1.05857i | ||||
\(92\) | 3.00000 | − | 0.803848i | 0.312772 | − | 0.0838069i | ||||
\(93\) | −19.0263 | + | 5.09808i | −1.97293 | + | 0.528646i | ||||
\(94\) | 0.803848 | + | 0.464102i | 0.0829105 | + | 0.0478684i | ||||
\(95\) | −4.26795 | + | 6.46410i | −0.437882 | + | 0.663203i | ||||
\(96\) | −9.46410 | + | 5.46410i | −0.965926 | + | 0.557678i | ||||
\(97\) | −6.26795 | + | 6.26795i | −0.636414 | + | 0.636414i | −0.949669 | − | 0.313255i | \(-0.898580\pi\) |
0.313255 | + | 0.949669i | \(0.398580\pi\) | |||||||
\(98\) | −9.83013 | + | 1.16987i | −0.992993 | + | 0.118175i | ||||
\(99\) | 0.535898 | 0.0538598 | ||||||||
\(100\) | −1.19615 | + | 9.92820i | −0.119615 | + | 0.992820i | ||||
\(101\) | −5.06218 | − | 8.76795i | −0.503706 | − | 0.872444i | −0.999991 | − | 0.00428406i | \(-0.998636\pi\) |
0.496285 | − | 0.868159i | \(-0.334697\pi\) | |||||||
\(102\) | 11.1962 | − | 3.00000i | 1.10858 | − | 0.297044i | ||||
\(103\) | 12.4282 | − | 3.33013i | 1.22459 | − | 0.328127i | 0.412118 | − | 0.911131i | \(-0.364789\pi\) |
0.812470 | + | 0.583003i | \(0.198123\pi\) | |||||||
\(104\) | 12.0000 | 1.17670 | ||||||||
\(105\) | 9.06218 | + | 6.96410i | 0.884378 | + | 0.679627i | ||||
\(106\) | 2.19615 | + | 3.80385i | 0.213309 | + | 0.369462i | ||||
\(107\) | 1.42820 | + | 5.33013i | 0.138070 | + | 0.515283i | 0.999966 | + | 0.00819905i | \(0.00260987\pi\) |
−0.861897 | + | 0.507084i | \(0.830723\pi\) | |||||||
\(108\) | −6.19615 | + | 6.19615i | −0.596225 | + | 0.596225i | ||||
\(109\) | 2.13397 | + | 3.69615i | 0.204398 | + | 0.354027i | 0.949941 | − | 0.312430i | \(-0.101143\pi\) |
−0.745543 | + | 0.666458i | \(0.767810\pi\) | |||||||
\(110\) | 2.19615 | + | 0.732051i | 0.209395 | + | 0.0697983i | ||||
\(111\) | − | 12.9282i | − | 1.22709i | ||||||
\(112\) | −3.46410 | + | 10.0000i | −0.327327 | + | 0.944911i | ||||
\(113\) | 2.53590 | − | 2.53590i | 0.238557 | − | 0.238557i | −0.577695 | − | 0.816253i | \(-0.696048\pi\) |
0.816253 | + | 0.577695i | \(0.196048\pi\) | |||||||
\(114\) | 9.46410 | 0.886394 | ||||||||
\(115\) | −3.40192 | + | 0.696152i | −0.317231 | + | 0.0649165i | ||||
\(116\) | 8.92820i | 0.828963i | ||||||||
\(117\) | −3.00000 | + | 0.803848i | −0.277350 | + | 0.0743157i | ||||
\(118\) | 3.26795 | − | 12.1962i | 0.300839 | − | 1.12275i | ||||
\(119\) | 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 | ||||
\(122\) | −3.63397 | − | 13.5622i | −0.329005 | − | 1.22786i | ||||
\(123\) | 0.232051 | − | 0.866025i | 0.0209233 | − | 0.0780869i | ||||
\(124\) | 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 | 0.0236286 | − | 0.999721i | \(-0.492478\pi\) |
−0.999721 | + | 0.0236286i | \(0.992478\pi\) | |||||||
\(128\) | 8.00000 | + | 8.00000i | 0.707107 | + | 0.707107i | ||||
\(129\) | 3.23205 | + | 5.59808i | 0.284566 | + | 0.492883i | ||||
\(130\) | −13.3923 | − | 0.803848i | −1.17458 | − | 0.0705021i | ||||
\(131\) | 3.73205 | − | 6.46410i | 0.326071 | − | 0.564771i | −0.655658 | − | 0.755058i | \(-0.727609\pi\) |
0.981728 | + | 0.190287i | \(0.0609419\pi\) | |||||||
\(132\) | −0.732051 | − | 2.73205i | −0.0637168 | − | 0.237795i | ||||
\(133\) | 6.92820 | − | 6.00000i | 0.600751 | − | 0.520266i | ||||
\(134\) | −4.90192 | + | 2.83013i | −0.423462 | + | 0.244486i | ||||
\(135\) | 7.33013 | − | 6.50000i | 0.630877 | − | 0.559431i | ||||
\(136\) | −6.00000 | − | 10.3923i | −0.514496 | − | 0.891133i | ||||
\(137\) | 2.19615 | − | 8.19615i | 0.187630 | − | 0.700245i | −0.806422 | − | 0.591340i | \(-0.798599\pi\) |
0.994052 | − | 0.108904i | \(-0.0347343\pi\) | |||||||
\(138\) | 3.00000 | + | 3.00000i | 0.255377 | + | 0.255377i | ||||
\(139\) | 1.26795i | 0.107546i | 0.998553 | + | 0.0537730i | \(0.0171247\pi\) | ||||
−0.998553 | + | 0.0537730i | \(0.982875\pi\) | |||||||
\(140\) | 4.53590 | − | 10.9282i | 0.383353 | − | 0.923602i | ||||
\(141\) | 1.26795i | 0.106781i | ||||||||
\(142\) | 15.4641 | − | 15.4641i | 1.29772 | − | 1.29772i | ||||
\(143\) | −0.803848 | + | 3.00000i | −0.0672211 | + | 0.250873i | ||||
\(144\) | −2.53590 | − | 1.46410i | −0.211325 | − | 0.122008i | ||||
\(145\) | 0.598076 | − | 9.96410i | 0.0496675 | − | 0.827474i | ||||
\(146\) | 5.92820 | + | 10.2679i | 0.490622 | + | 0.849782i | ||||
\(147\) | −8.09808 | − | 10.8301i | −0.667918 | − | 0.893254i | ||||
\(148\) | −12.9282 | + | 3.46410i | −1.06269 | + | 0.284747i | ||||
\(149\) | 11.3301 | − | 19.6244i | 0.928200 | − | 1.60769i | 0.141868 | − | 0.989886i | \(-0.454689\pi\) |
0.786332 | − | 0.617804i | \(-0.211978\pi\) | |||||||
\(150\) | −12.5622 | + | 5.36603i | −1.02570 | + | 0.438134i | ||||
\(151\) | −6.90192 | − | 11.9545i | −0.561671 | − | 0.972842i | −0.997351 | − | 0.0727405i | \(-0.976826\pi\) |
0.435680 | − | 0.900101i | \(-0.356508\pi\) | |||||||
\(152\) | −2.53590 | − | 9.46410i | −0.205689 | − | 0.767640i | ||||
\(153\) | 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 | ||||
\(157\) | −4.56218 | + | 17.0263i | −0.364101 | + | 1.35885i | 0.504533 | + | 0.863392i | \(0.331665\pi\) |
−0.868635 | + | 0.495453i | \(0.835002\pi\) | |||||||
\(158\) | 17.6603 | − | 4.73205i | 1.40497 | − | 0.376462i | ||||
\(159\) | −3.00000 | + | 5.19615i | −0.237915 | + | 0.412082i | ||||
\(160\) | −8.39230 | − | 9.46410i | −0.663470 | − | 0.748203i | ||||
\(161\) | 4.09808 | + | 0.294229i | 0.322974 | + | 0.0231885i | ||||
\(162\) | −14.5622 | − | 3.90192i | −1.14411 | − | 0.306564i | ||||
\(163\) | −3.63397 | + | 0.973721i | −0.284635 | + | 0.0762677i | −0.398312 | − | 0.917250i | \(-0.630404\pi\) |
0.113677 | + | 0.993518i | \(0.463737\pi\) | |||||||
\(164\) | −0.928203 | −0.0724805 | ||||||||
\(165\) | 0.633975 | + | 3.09808i | 0.0493549 | + | 0.241185i | ||||
\(166\) | 9.12436i | 0.708187i | ||||||||
\(167\) | −3.29423 | + | 3.29423i | −0.254915 | + | 0.254915i | −0.822982 | − | 0.568067i | \(-0.807691\pi\) |
0.568067 | + | 0.822982i | \(0.307691\pi\) | |||||||
\(168\) | −14.1962 | + | 2.73205i | −1.09526 | + | 0.210782i | ||||
\(169\) | − | 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 | ||||
\(173\) | −0.124356 | − | 0.464102i | −0.00945459 | − | 0.0352850i | 0.961037 | − | 0.276418i | \(-0.0891475\pi\) |
−0.970492 | + | 0.241133i | \(0.922481\pi\) | |||||||
\(174\) | −10.5622 | + | 6.09808i | −0.800717 | + | 0.462294i | ||||
\(175\) | −5.79423 | + | 11.8923i | −0.438003 | + | 0.898974i | ||||
\(176\) | −2.53590 | + | 1.46410i | −0.191151 | + | 0.110361i | ||||
\(177\) | 16.6603 | − | 4.46410i | 1.25226 | − | 0.335542i | ||||
\(178\) | −6.29423 | − | 23.4904i | −0.471772 | − | 1.76068i | ||||
\(179\) | 7.02628 | + | 12.1699i | 0.525169 | + | 0.909619i | 0.999570 | + | 0.0293105i | \(0.00933115\pi\) |
−0.474402 | + | 0.880309i | \(0.657336\pi\) | |||||||
\(180\) | 2.73205 | + | 1.80385i | 0.203635 | + | 0.134451i | ||||
\(181\) | 22.5167 | 1.67365 | 0.836825 | − | 0.547470i | \(-0.184409\pi\) | ||||
0.836825 | + | 0.547470i | \(0.184409\pi\) | |||||||
\(182\) | 15.0000 | + | 5.19615i | 1.11187 | + | 0.385164i | ||||
\(183\) | 13.5622 | − | 13.5622i | 1.00255 | − | 1.00255i | ||||
\(184\) | 2.19615 | − | 3.80385i | 0.161903 | − | 0.280423i | ||||
\(185\) | 14.6603 | − | 3.00000i | 1.07784 | − | 0.220564i | ||||
\(186\) | −13.9282 | + | 24.1244i | −1.02127 | + | 1.76888i | ||||
\(187\) | 3.00000 | − | 0.803848i | 0.219382 | − | 0.0587832i | ||||
\(188\) | 1.26795 | − | 0.339746i | 0.0924747 | − | 0.0247785i | ||||
\(189\) | −10.4282 | + | 5.06218i | −0.758540 | + | 0.368219i | ||||
\(190\) | 2.19615 | + | 10.7321i | 0.159326 | + | 0.778585i | ||||
\(191\) | −1.56218 | + | 2.70577i | −0.113035 | + | 0.195783i | −0.916993 | − | 0.398904i | \(-0.869391\pi\) |
0.803957 | + | 0.594687i | \(0.202724\pi\) | |||||||
\(192\) | −4.00000 | + | 14.9282i | −0.288675 | + | 1.07735i | ||||
\(193\) | −11.5622 | − | 3.09808i | −0.832264 | − | 0.223004i | −0.182563 | − | 0.983194i | \(-0.558439\pi\) |
−0.649701 | + | 0.760190i | \(0.725106\pi\) | |||||||
\(194\) | 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 | \(-0.839968\pi\) |
0.481842 | + | 0.876258i | \(0.339968\pi\) | |||||||
\(198\) | 0.535898 | − | 0.535898i | 0.0380846 | − | 0.0380846i | ||||
\(199\) | 1.73205 | + | 3.00000i | 0.122782 | + | 0.212664i | 0.920864 | − | 0.389885i | \(-0.127485\pi\) |
−0.798082 | + | 0.602549i | \(0.794152\pi\) | |||||||
\(200\) | 8.73205 | + | 11.1244i | 0.617449 | + | 0.786611i | ||||
\(201\) | −6.69615 | − | 3.86603i | −0.472310 | − | 0.272688i | ||||
\(202\) | −13.8301 | − | 3.70577i | −0.973084 | − | 0.260737i | ||||
\(203\) | −3.86603 | + | 11.1603i | −0.271342 | + | 0.783296i | ||||
\(204\) | 8.19615 | − | 14.1962i | 0.573845 | − | 0.993929i | ||||
\(205\) | 1.03590 | + | 0.0621778i | 0.0723503 | + | 0.00434269i | ||||
\(206\) | 9.09808 | − | 15.7583i | 0.633893 | − | 1.09793i | ||||
\(207\) | −0.294229 | + | 1.09808i | −0.0204503 | + | 0.0763216i | ||||
\(208\) | 12.0000 | − | 12.0000i | 0.832050 | − | 0.832050i | ||||
\(209\) | 2.53590 | 0.175412 | ||||||||
\(210\) | 16.0263 | − | 2.09808i | 1.10592 | − | 0.144781i | ||||
\(211\) | − | 20.5359i | − | 1.41375i | −0.707339 | − | 0.706875i | \(-0.750104\pi\) | ||
0.707339 | − | 0.706875i | \(-0.249896\pi\) | |||||||
\(212\) | 6.00000 | + | 1.60770i | 0.412082 | + | 0.110417i | ||||
\(213\) | 28.8564 | + | 7.73205i | 1.97721 | + | 0.529791i | ||||
\(214\) | 6.75833 | + | 3.90192i | 0.461990 | + | 0.266730i | ||||
\(215\) | −5.59808 | + | 4.96410i | −0.381786 | + | 0.338549i | ||||
\(216\) | 12.3923i | 0.843190i | ||||||||
\(217\) | 5.09808 | + | 26.4904i | 0.346080 | + | 1.79828i | ||||
\(218\) | 5.83013 | + | 1.56218i | 0.394866 | + | 0.105804i | ||||
\(219\) | −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 | \(-0.372499\pi\) |
−0.920844 | + | 0.389932i | \(0.872499\pi\) | |||||||
\(224\) | 6.53590 | + | 13.4641i | 0.436698 | + | 0.899608i | ||||
\(225\) | −2.92820 | − | 2.19615i | −0.195214 | − | 0.146410i | ||||
\(226\) | − | 5.07180i | − | 0.337371i | ||||||
\(227\) | −3.43782 | + | 12.8301i | −0.228176 | + | 0.851565i | 0.752931 | + | 0.658100i | \(0.228639\pi\) |
−0.981107 | + | 0.193466i | \(0.938027\pi\) | |||||||
\(228\) | 9.46410 | − | 9.46410i | 0.626775 | − | 0.626775i | ||||
\(229\) | 13.3923 | + | 7.73205i | 0.884988 | + | 0.510948i | 0.872300 | − | 0.488971i | \(-0.162628\pi\) |
0.0126885 | + | 0.999919i | \(0.495961\pi\) | |||||||
\(230\) | −2.70577 | + | 4.09808i | −0.178413 | + | 0.270219i | ||||
\(231\) | 0.267949 | − | 3.73205i | 0.0176298 | − | 0.245551i | ||||
\(232\) | 8.92820 | + | 8.92820i | 0.586165 | + | 0.586165i | ||||
\(233\) | −1.90192 | − | 7.09808i | −0.124599 | − | 0.465010i | 0.875226 | − | 0.483714i | \(-0.160713\pi\) |
−0.999825 | + | 0.0187040i | \(0.994046\pi\) | |||||||
\(234\) | −2.19615 | + | 3.80385i | −0.143567 | + | 0.248665i | ||||
\(235\) | −1.43782 | + | 0.294229i | −0.0937932 | + | 0.0191934i | ||||
\(236\) | −8.92820 | − | 15.4641i | −0.581177 | − | 1.00663i | ||||
\(237\) | 17.6603 | + | 17.6603i | 1.14716 | + | 1.14716i | ||||
\(238\) | −3.00000 | − | 15.5885i | −0.194461 | − | 1.01045i | ||||
\(239\) | 4.73205i | 0.306091i | 0.988219 | + | 0.153045i | \(0.0489081\pi\) | ||||
−0.988219 | + | 0.153045i | \(0.951092\pi\) | |||||||
\(240\) | 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 | \(0.561420\pi\) | |||||||
\(242\) | 3.83013 | + | 14.2942i | 0.246210 | + | 0.918868i | ||||
\(243\) | −1.92820 | − | 7.19615i | −0.123694 | − | 0.461633i | ||||
\(244\) | −17.1962 | − | 9.92820i | −1.10087 | − | 0.635588i | ||||
\(245\) | 10.4019 | − | 11.6962i | 0.664555 | − | 0.747240i | ||||
\(246\) | −0.633975 | − | 1.09808i | −0.0404207 | − | 0.0700108i | ||||
\(247\) | −14.1962 | + | 3.80385i | −0.903280 | + | 0.242033i | ||||
\(248\) | 27.8564 | + | 7.46410i | 1.76888 | + | 0.473971i | ||||
\(249\) | −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 | \(0.713059\pi\) | |||||||
\(252\) | −2.53590 | − | 2.92820i | −0.159747 | − | 0.184459i | ||||
\(253\) | 0.803848 | + | 0.803848i | 0.0505375 | + | 0.0505375i | ||||
\(254\) | −22.0000 | −1.38040 | ||||||||
\(255\) | −10.0981 | + | 15.2942i | −0.632366 | + | 0.957762i | ||||
\(256\) | 16.0000 | 1.00000 | ||||||||
\(257\) | 6.92820 | + | 25.8564i | 0.432169 | + | 1.61288i | 0.747751 | + | 0.663980i | \(0.231134\pi\) |
−0.315581 | + | 0.948899i | \(0.602199\pi\) | |||||||
\(258\) | 8.83013 | + | 2.36603i | 0.549740 | + | 0.147302i | ||||
\(259\) | −17.6603 | − | 1.26795i | −1.09735 | − | 0.0787865i | ||||
\(260\) | −14.1962 | + | 12.5885i | −0.880408 | + | 0.780703i | ||||
\(261\) | −2.83013 | − | 1.63397i | −0.175180 | − | 0.101140i | ||||
\(262\) | −2.73205 | − | 10.1962i | −0.168787 | − | 0.629920i | ||||
\(263\) | 0.401924 | + | 0.107695i | 0.0247837 | + | 0.00664077i | 0.271190 | − | 0.962526i | \(-0.412583\pi\) |
−0.246406 | + | 0.969167i | \(0.579250\pi\) | |||||||
\(264\) | −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 | ||||
\(268\) | −2.07180 | + | 7.73205i | −0.126555 | + | 0.472310i | ||||
\(269\) | −3.06218 | + | 1.76795i | −0.186704 | + | 0.107794i | −0.590439 | − | 0.807082i | \(-0.701045\pi\) |
0.403734 | + | 0.914876i | \(0.367712\pi\) | |||||||
\(270\) | 0.830127 | − | 13.8301i | 0.0505199 | − | 0.841675i | ||||
\(271\) | 10.3923 | + | 6.00000i | 0.631288 | + | 0.364474i | 0.781251 | − | 0.624218i | \(-0.214582\pi\) |
−0.149963 | + | 0.988692i | \(0.547915\pi\) | |||||||
\(272\) | −16.3923 | − | 4.39230i | −0.993929 | − | 0.266323i | ||||
\(273\) | 4.09808 | + | 21.2942i | 0.248027 | + | 1.28879i | ||||
\(274\) | −6.00000 | − | 10.3923i | −0.362473 | − | 0.627822i | ||||
\(275\) | −3.36603 | + | 1.43782i | −0.202979 | + | 0.0867039i | ||||
\(276\) | 6.00000 | 0.361158 | ||||||||
\(277\) | −18.7583 | − | 5.02628i | −1.12708 | − | 0.302000i | −0.353334 | − | 0.935497i | \(-0.614952\pi\) |
−0.773745 | + | 0.633497i | \(0.781619\pi\) | |||||||
\(278\) | 1.26795 | + | 1.26795i | 0.0760465 | + | 0.0760465i | ||||
\(279\) | −7.46410 | −0.446864 | ||||||||
\(280\) | −6.39230 | − | 15.4641i | −0.382013 | − | 0.924157i | ||||
\(281\) | −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 | ||||
\(283\) | 13.5622 | + | 3.63397i | 0.806188 | + | 0.216017i | 0.638299 | − | 0.769789i | \(-0.279638\pi\) |
0.167889 | + | 0.985806i | \(0.446305\pi\) | |||||||
\(284\) | − | 30.9282i | − | 1.83525i | ||||||
\(285\) | −11.1962 | + | 9.92820i | −0.663203 | + | 0.588096i | ||||
\(286\) | 2.19615 | + | 3.80385i | 0.129861 | + | 0.224926i | ||||
\(287\) | −1.16025 | − | 0.401924i | −0.0684876 | − | 0.0237248i | ||||
\(288\) | −4.00000 | + | 1.07180i | −0.235702 | + | 0.0631562i | ||||
\(289\) | 0.866025 | + | 0.500000i | 0.0509427 | + | 0.0294118i | ||||
\(290\) | −9.36603 | − | 10.5622i | −0.549992 | − | 0.620232i | ||||
\(291\) | −14.8301 | + | 8.56218i | −0.869357 | + | 0.501924i | ||||
\(292\) | 16.1962 | + | 4.33975i | 0.947808 | + | 0.253964i | ||||
\(293\) | 4.19615 | − | 4.19615i | 0.245142 | − | 0.245142i | −0.573832 | − | 0.818973i | \(-0.694544\pi\) |
0.818973 | + | 0.573832i | \(0.194544\pi\) | |||||||
\(294\) | −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 | ||||
\(297\) | −3.09808 | − | 0.830127i | −0.179769 | − | 0.0481689i | ||||
\(298\) | −8.29423 | − | 30.9545i | −0.480472 | − | 1.79315i | ||||
\(299\) | −5.70577 | − | 3.29423i | −0.329973 | − | 0.190510i | ||||
\(300\) | −7.19615 | + | 17.9282i | −0.415470 | + | 1.03509i | ||||
\(301\) | 7.96410 | − | 3.86603i | 0.459043 | − | 0.222834i | ||||
\(302\) | −18.8564 | − | 5.05256i | −1.08506 | − | 0.290742i | ||||
\(303\) | −5.06218 | − | 18.8923i | −0.290815 | − | 1.08533i | ||||
\(304\) | −12.0000 | − | 6.92820i | −0.688247 | − | 0.397360i | ||||
\(305\) | 18.5263 | + | 12.2321i | 1.06081 | + | 0.700405i | ||||
\(306\) | 4.39230 | 0.251091 | ||||||||
\(307\) | −0.758330 | − | 0.758330i | −0.0432802 | − | 0.0432802i | 0.685135 | − | 0.728416i | \(-0.259743\pi\) |
−0.728416 | + | 0.685135i | \(0.759743\pi\) | |||||||
\(308\) | −3.80385 | + | 0.732051i | −0.216744 | + | 0.0417125i | ||||
\(309\) | 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 | \(0.0834829\pi\) | |||||||
\(312\) | 22.3923 | + | 6.00000i | 1.26771 | + | 0.339683i | ||||
\(313\) | −16.1244 | + | 4.32051i | −0.911402 | + | 0.244210i | −0.683907 | − | 0.729570i | \(-0.739720\pi\) |
−0.227496 | + | 0.973779i | \(0.573054\pi\) | |||||||
\(314\) | 12.4641 | + | 21.5885i | 0.703390 | + | 1.21831i | ||||
\(315\) | 2.63397 | + | 3.43782i | 0.148408 | + | 0.193699i | ||||
\(316\) | 12.9282 | − | 22.3923i | 0.727268 | − | 1.25967i | ||||
\(317\) | 1.16987 | + | 4.36603i | 0.0657066 | + | 0.245220i | 0.990966 | − | 0.134115i | \(-0.0428192\pi\) |
−0.925259 | + | 0.379336i | \(0.876153\pi\) | |||||||
\(318\) | 2.19615 | + | 8.19615i | 0.123154 | + | 0.459617i | ||||
\(319\) | −2.83013 | + | 1.63397i | −0.158457 | + | 0.0914850i | ||||
\(320\) | −17.8564 | − | 1.07180i | −0.998203 | − | 0.0599153i | ||||
\(321\) | 10.6603i | 0.594997i | ||||||||
\(322\) | 4.39230 | − | 3.80385i | 0.244774 | − | 0.211980i | ||||
\(323\) | 10.3923 | + | 10.3923i | 0.578243 | + | 0.578243i | ||||
\(324\) | −18.4641 | + | 10.6603i | −1.02578 | + | 0.592236i | ||||
\(325\) | 16.6865 | − | 13.0981i | 0.925602 | − | 0.726551i | ||||
\(326\) | −2.66025 | + | 4.60770i | −0.147338 | + | 0.255197i | ||||
\(327\) | 2.13397 | + | 7.96410i | 0.118009 | + | 0.440416i | ||||
\(328\) | −0.928203 | + | 0.928203i | −0.0512514 | + | 0.0512514i | ||||
\(329\) | 1.73205 | + | 0.124356i | 0.0954911 | + | 0.00685595i | ||||
\(330\) | 3.73205 | + | 2.46410i | 0.205443 | + | 0.135644i | ||||
\(331\) | 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 | ||||
\(333\) | 1.26795 | − | 4.73205i | 0.0694832 | − | 0.259315i | ||||
\(334\) | 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 | −0.997282 | − | 0.0736804i | \(-0.976526\pi\) |
−0.0736804 | − | 0.997282i | \(-0.523474\pi\) | |||||||
\(338\) | −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 | ||||
\(342\) | 3.46410 | + | 0.928203i | 0.187317 | + | 0.0501915i | ||||
\(343\) | −15.5885 | + | 10.0000i | −0.841698 | + | 0.539949i | ||||
\(344\) | − | 9.46410i | − | 0.510270i | ||||||
\(345\) | −6.69615 | − | 0.401924i | −0.360509 | − | 0.0216388i | ||||
\(346\) | −0.588457 | − | 0.339746i | −0.0316357 | − | 0.0182649i | ||||
\(347\) | 34.9186 | + | 9.35641i | 1.87453 | + | 0.502278i | 0.999845 | + | 0.0175817i | \(0.00559672\pi\) |
0.874682 | + | 0.484697i | \(0.161070\pi\) | |||||||
\(348\) | −4.46410 | + | 16.6603i | −0.239301 | + | 0.893083i | ||||
\(349\) | 19.9808i | 1.06955i | 0.844996 | + | 0.534773i | \(0.179603\pi\) | ||||
−0.844996 | + | 0.534773i | \(0.820397\pi\) | |||||||
\(350\) | 6.09808 | + | 17.6865i | 0.325956 | + | 0.945385i | ||||
\(351\) | 18.5885 | 0.992178 | ||||||||
\(352\) | −1.07180 | + | 4.00000i | −0.0571270 | + | 0.213201i | ||||
\(353\) | −6.80385 | + | 25.3923i | −0.362132 | + | 1.35150i | 0.509135 | + | 0.860687i | \(0.329965\pi\) |
−0.871267 | + | 0.490809i | \(0.836701\pi\) | |||||||
\(354\) | 12.1962 | − | 21.1244i | 0.648218 | − | 1.12275i | ||||
\(355\) | −2.07180 | + | 34.5167i | −0.109960 | + | 1.83195i | ||||
\(356\) | −29.7846 | − | 17.1962i | −1.57858 | − | 0.911394i | ||||
\(357\) | 16.3923 | − | 14.1962i | 0.867573 | − | 0.751340i | ||||
\(358\) | 19.1962 | + | 5.14359i | 1.01455 | + | 0.271847i | ||||
\(359\) | −4.09808 | − | 2.36603i | −0.216288 | − | 0.124874i | 0.387942 | − | 0.921684i | \(-0.373186\pi\) |
−0.604230 | + | 0.796810i | \(0.706519\pi\) | |||||||
\(360\) | 4.53590 | − | 0.928203i | 0.239063 | − | 0.0489206i | ||||
\(361\) | −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 | ||||||
\(367\) | 8.06218 | + | 2.16025i | 0.420842 | + | 0.112764i | 0.463024 | − | 0.886346i | \(-0.346764\pi\) |
−0.0421820 | + | 0.999110i | \(0.513431\pi\) | |||||||
\(368\) | −1.60770 | − | 6.00000i | −0.0838069 | − | 0.312772i | ||||
\(369\) | 0.169873 | − | 0.294229i | 0.00884323 | − | 0.0153169i | ||||
\(370\) | 11.6603 | − | 17.6603i | 0.606188 | − | 0.918113i | ||||
\(371\) | 6.80385 | + | 4.60770i | 0.353238 | + | 0.239220i | ||||
\(372\) | 10.1962 | + | 38.0526i | 0.528646 | + | 1.97293i | ||||
\(373\) | −9.46410 | + | 2.53590i | −0.490033 | + | 0.131304i | −0.495370 | − | 0.868682i | \(-0.664968\pi\) |
0.00533769 | + | 0.999986i | \(0.498301\pi\) | |||||||
\(374\) | 2.19615 | − | 3.80385i | 0.113560 | − | 0.196692i | ||||
\(375\) | 9.23205 | − | 19.5263i | 0.476741 | − | 1.00833i | ||||
\(376\) | 0.928203 | − | 1.60770i | 0.0478684 | − | 0.0829105i | ||||
\(377\) | 13.3923 | − | 13.3923i | 0.689739 | − | 0.689739i | ||||
\(378\) | −5.36603 | + | 15.4904i | −0.275999 | + | 0.796739i | ||||
\(379\) | −30.2487 | −1.55377 | −0.776886 | − | 0.629641i | \(-0.783202\pi\) | ||||
−0.776886 | + | 0.629641i | \(0.783202\pi\) | |||||||
\(380\) | 12.9282 | + | 8.53590i | 0.663203 | + | 0.437882i | ||||
\(381\) | −15.0263 | − | 26.0263i | −0.769820 | − | 1.33337i | ||||
\(382\) | 1.14359 | + | 4.26795i | 0.0585113 | + | 0.218367i | ||||
\(383\) | −7.33013 | + | 1.96410i | −0.374552 | + | 0.100361i | −0.441184 | − | 0.897417i | \(-0.645441\pi\) |
0.0666319 | + | 0.997778i | \(0.478775\pi\) | |||||||
\(384\) | 10.9282 | + | 18.9282i | 0.557678 | + | 0.965926i | ||||
\(385\) | 4.29423 | − | 0.562178i | 0.218854 | − | 0.0286512i | ||||
\(386\) | −14.6603 | + | 8.46410i | −0.746187 | + | 0.430811i | ||||
\(387\) | 0.633975 | + | 2.36603i | 0.0322267 | + | 0.120272i | ||||
\(388\) | 12.5359 | + | 12.5359i | 0.636414 | + | 0.636414i | ||||
\(389\) | −7.53590 | − | 13.0526i | −0.382085 | − | 0.661791i | 0.609275 | − | 0.792959i | \(-0.291461\pi\) |
−0.991360 | + | 0.131168i | \(0.958127\pi\) | |||||||
\(390\) | −24.5885 | − | 8.19615i | −1.24508 | − | 0.415028i | ||||
\(391\) | 6.58846i | 0.333193i | ||||||||
\(392\) | 2.33975 | + | 19.6603i | 0.118175 | + | 0.992993i | ||||
\(393\) | 10.1962 | − | 10.1962i | 0.514328 | − | 0.514328i | ||||
\(394\) | 11.0718i | 0.557789i | ||||||||
\(395\) | −15.9282 | + | 24.1244i | −0.801435 | + | 1.21383i | ||||
\(396\) | − | 1.07180i | − | 0.0538598i | ||||||
\(397\) | −21.7583 | + | 5.83013i | −1.09202 | + | 0.292606i | −0.759511 | − | 0.650495i | \(-0.774562\pi\) |
−0.332508 | + | 0.943100i | \(0.607895\pi\) | |||||||
\(398\) | 4.73205 | + | 1.26795i | 0.237196 | + | 0.0635566i | ||||
\(399\) | 15.9282 | − | 7.73205i | 0.797408 | − | 0.387087i | ||||
\(400\) | 19.8564 | + | 2.39230i | 0.992820 | + | 0.119615i | ||||
\(401\) | 15.3564 | − | 26.5981i | 0.766862 | − | 1.32824i | −0.172394 | − | 0.985028i | \(-0.555150\pi\) |
0.939256 | − | 0.343216i | \(-0.111516\pi\) | |||||||
\(402\) | −10.5622 | + | 2.83013i | −0.526794 | + | 0.141154i | ||||
\(403\) | 11.1962 | − | 41.7846i | 0.557720 | − | 2.08144i | ||||
\(404\) | −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 | ||||
\(408\) | −6.00000 | − | 22.3923i | −0.297044 | − | 1.10858i | ||||
\(409\) | −5.69615 | − | 9.86603i | −0.281657 | − | 0.487844i | 0.690136 | − | 0.723679i | \(-0.257551\pi\) |
−0.971793 | + | 0.235836i | \(0.924217\pi\) | |||||||
\(410\) | 1.09808 | − | 0.973721i | 0.0542301 | − | 0.0480886i | ||||
\(411\) | 8.19615 | − | 14.1962i | 0.404286 | − | 0.700245i | ||||
\(412\) | −6.66025 | − | 24.8564i | −0.328127 | − | 1.22459i | ||||
\(413\) | −4.46410 | − | 23.1962i | −0.219664 | − | 1.14141i | ||||
\(414\) | 0.803848 | + | 1.39230i | 0.0395070 | + | 0.0684280i | ||||
\(415\) | −9.57180 | − | 10.7942i | −0.469861 | − | 0.529868i | ||||
\(416\) | − | 24.0000i | − | 1.17670i | ||||||
\(417\) | −0.633975 | + | 2.36603i | −0.0310459 | + | 0.115865i | ||||
\(418\) | 2.53590 | − | 2.53590i | 0.124035 | − | 0.124035i | ||||
\(419\) | 2.39230i | 0.116872i | 0.998291 | + | 0.0584359i | \(0.0186113\pi\) | ||||
−0.998291 | + | 0.0584359i | \(0.981389\pi\) | |||||||
\(420\) | 13.9282 | − | 18.1244i | 0.679627 | − | 0.884378i | ||||
\(421\) | 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 | ||||
\(423\) | −0.124356 | + | 0.464102i | −0.00604638 | + | 0.0225654i | ||||
\(424\) | 7.60770 | − | 4.39230i | 0.369462 | − | 0.213309i | ||||
\(425\) | −19.6865 | − | 7.90192i | −0.954937 | − | 0.383300i | ||||
\(426\) | 36.5885 | − | 21.1244i | 1.77272 | − | 1.02348i | ||||
\(427\) | −17.1962 | − | 19.8564i | −0.832180 | − | 0.960919i | ||||
\(428\) | 10.6603 | − | 2.85641i | 0.515283 | − | 0.138070i | ||||
\(429\) | −3.00000 | + | 5.19615i | −0.144841 | + | 0.250873i | ||||
\(430\) | −0.633975 | + | 10.5622i | −0.0305730 | + | 0.509353i | ||||
\(431\) | 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 | \(-0.122625\pi\) |
−0.375780 | + | 0.926709i | \(0.622625\pi\) | |||||||
\(434\) | 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 | ||||
\(437\) | −1.39230 | + | 5.19615i | −0.0666030 | + | 0.248566i | ||||
\(438\) | 5.92820 | + | 22.1244i | 0.283261 | + | 1.05714i | ||||
\(439\) | 2.66025 | − | 4.60770i | 0.126967 | − | 0.219913i | −0.795533 | − | 0.605910i | \(-0.792809\pi\) |
0.922500 | + | 0.385997i | \(0.126142\pi\) | |||||||
\(440\) | 1.46410 | − | 4.39230i | 0.0697983 | − | 0.209395i | ||||
\(441\) | −1.90192 | − | 4.75833i | −0.0905678 | − | 0.226587i | ||||
\(442\) | −6.58846 | + | 24.5885i | −0.313381 | + | 1.16955i | ||||
\(443\) | 33.3564 | − | 8.93782i | 1.58481 | − | 0.424649i | 0.644400 | − | 0.764689i | \(-0.277107\pi\) |
0.940411 | + | 0.340040i | \(0.110441\pi\) | |||||||
\(444\) | −25.8564 | −1.22709 | ||||||||
\(445\) | 32.0885 | + | 21.1865i | 1.52114 | + | 1.00434i | ||||
\(446\) | −15.8564 | −0.750823 | ||||||||
\(447\) | 30.9545 | − | 30.9545i | 1.46410 | − | 1.46410i | ||||
\(448\) | 20.0000 | + | 6.92820i | 0.944911 | + | 0.327327i | ||||
\(449\) | 23.1962i | 1.09469i | 0.836906 | + | 0.547347i | \(0.184362\pi\) | ||||
−0.836906 | + | 0.547347i | \(0.815638\pi\) | |||||||
\(450\) | −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 | ||||
\(453\) | −6.90192 | − | 25.7583i | −0.324281 | − | 1.21023i | ||||
\(454\) | 9.39230 | + | 16.2679i | 0.440803 | + | 0.763493i | ||||
\(455\) | −23.1962 | + | 9.58846i | −1.08745 | + | 0.449514i | ||||
\(456\) | − | 18.9282i | − | 0.886394i | ||||||
\(457\) | 13.9282 | − | 3.73205i | 0.651534 | − | 0.174578i | 0.0821116 | − | 0.996623i | \(-0.473834\pi\) |
0.569422 | + | 0.822045i | \(0.307167\pi\) | |||||||
\(458\) | 21.1244 | − | 5.66025i | 0.987076 | − | 0.264486i | ||||
\(459\) | −9.29423 | − | 16.0981i | −0.433817 | − | 0.751394i | ||||
\(460\) | 1.39230 | + | 6.80385i | 0.0649165 | + | 0.317231i | ||||
\(461\) | −12.1436 | −0.565584 | −0.282792 | − | 0.959181i | \(-0.591261\pi\) | ||||
−0.282792 | + | 0.959181i | \(0.591261\pi\) | |||||||
\(462\) | −3.46410 | − | 4.00000i | −0.161165 | − | 0.186097i | ||||
\(463\) | 0.830127 | − | 0.830127i | 0.0385793 | − | 0.0385793i | −0.687554 | − | 0.726133i | \(-0.741316\pi\) |
0.726133 | + | 0.687554i | \(0.241316\pi\) | |||||||
\(464\) | 17.8564 | 0.828963 | ||||||||
\(465\) | −8.83013 | − | 43.1506i | −0.409487 | − | 2.00106i | ||||
\(466\) | −9.00000 | − | 5.19615i | −0.416917 | − | 0.240707i | ||||
\(467\) | 6.23205 | − | 1.66987i | 0.288385 | − | 0.0772725i | −0.111727 | − | 0.993739i | \(-0.535638\pi\) |
0.400111 | + | 0.916466i | \(0.368971\pi\) | |||||||
\(468\) | 1.60770 | + | 6.00000i | 0.0743157 | + | 0.277350i | ||||
\(469\) | −5.93782 | + | 8.76795i | −0.274183 | + | 0.404866i | ||||
\(470\) | −1.14359 | + | 1.73205i | −0.0527500 | + | 0.0798935i | ||||
\(471\) | −17.0263 | + | 29.4904i | −0.784530 | + | 1.35885i | ||||
\(472\) | −24.3923 | − | 6.53590i | −1.12275 | − | 0.300839i | ||||
\(473\) | 2.36603 | + | 0.633975i | 0.108790 | + | 0.0291502i | ||||
\(474\) | 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 | 0.819299 | − | 0.573367i | \(-0.194363\pi\) |
−0.906200 | + | 0.422850i | \(0.861030\pi\) | |||||||
\(480\) | −10.9282 | − | 21.8564i | −0.498802 | − | 0.997604i | ||||
\(481\) | 24.5885 | + | 14.1962i | 1.12114 | + | 0.647289i | ||||
\(482\) | −7.46410 | + | 27.8564i | −0.339981 | + | 1.26882i | ||||
\(483\) | 7.50000 | + | 2.59808i | 0.341262 | + | 0.118217i | ||||
\(484\) | 18.1244 | + | 10.4641i | 0.823834 | + | 0.475641i | ||||
\(485\) | −13.1506 | − | 14.8301i | −0.597140 | − | 0.673401i | ||||
\(486\) | −9.12436 | − | 5.26795i | −0.413889 | − | 0.238959i | ||||
\(487\) | 5.09808 | − | 19.0263i | 0.231016 | − | 0.862163i | −0.748889 | − | 0.662696i | \(-0.769412\pi\) |
0.979905 | − | 0.199467i | \(-0.0639211\pi\) | |||||||
\(488\) | −27.1244 | + | 7.26795i | −1.22786 | + | 0.329005i | ||||
\(489\) | −7.26795 | −0.328668 | ||||||||
\(490\) | −1.29423 | − | 22.0981i | −0.0584673 | − | 0.998289i | ||||
\(491\) | 12.1962i | 0.550405i | 0.961386 | + | 0.275202i | \(0.0887448\pi\) | ||||
−0.961386 | + | 0.275202i | \(0.911255\pi\) | |||||||
\(492\) | −1.73205 | − | 0.464102i | −0.0780869 | − | 0.0209233i | ||||
\(493\) | −18.2942 | − | 4.90192i | −0.823931 | − | 0.220772i | ||||
\(494\) | −10.3923 | + | 18.0000i | −0.467572 | + | 0.809858i | ||||
\(495\) | −0.0717968 | + | 1.19615i | −0.00322702 | + | 0.0537631i | ||||
\(496\) | 35.3205 | − | 20.3923i | 1.58594 | − | 0.915642i | ||||
\(497\) | 13.3923 | − | 38.6603i | 0.600727 | − | 1.73415i | ||||
\(498\) | −4.56218 | + | 17.0263i | −0.204436 | + | 0.762966i | ||||
\(499\) | 6.75833 | − | 11.7058i | 0.302544 | − | 0.524022i | −0.674167 | − | 0.738579i | \(-0.735497\pi\) |
0.976712 | + | 0.214556i | \(0.0688306\pi\) | |||||||
\(500\) | −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 | 0.999933 | + | 0.0116099i | \(0.00369564\pi\) |
0.0116099 | + | 0.999933i | \(0.496304\pi\) | |||||||
\(504\) | −5.46410 | − | 0.392305i | −0.243390 | − | 0.0174746i | ||||
\(505\) | 20.2487 | − | 10.1244i | 0.901056 | − | 0.450528i | ||||
\(506\) | 1.60770 | 0.0714708 | ||||||||
\(507\) | 2.50000 | − | 9.33013i | 0.111029 | − | 0.414365i | ||||
\(508\) | −22.0000 | + | 22.0000i | −0.976092 | + | 0.976092i | ||||
\(509\) | 9.57180 | + | 5.52628i | 0.424262 | + | 0.244948i | 0.696899 | − | 0.717169i | \(-0.254562\pi\) |
−0.272637 | + | 0.962117i | \(0.587896\pi\) | |||||||
\(510\) | 5.19615 | + | 25.3923i | 0.230089 | + | 1.12439i | ||||
\(511\) | 18.3660 | + | 12.4378i | 0.812465 | + | 0.550217i | ||||
\(512\) | 16.0000 | − | 16.0000i | 0.707107 | − | 0.707107i | ||||
\(513\) | −3.92820 | − | 14.6603i | −0.173434 | − | 0.647266i | ||||
\(514\) | 32.7846 | + | 18.9282i | 1.44607 | + | 0.834887i | ||||
\(515\) | 5.76795 | + | 28.1865i | 0.254166 | + | 1.24205i | ||||
\(516\) | 11.1962 | − | 6.46410i | 0.492883 | − | 0.284566i | ||||
\(517\) | 0.339746 | + | 0.339746i | 0.0149420 | + | 0.0149420i | ||||
\(518\) | −18.9282 | + | 16.3923i | −0.831658 | + | 0.720237i | ||||
\(519\) | − | 0.928203i | − | 0.0407436i | ||||||
\(520\) | −1.60770 | + | 26.7846i | −0.0705021 | + | 1.17458i | ||||
\(521\) | 7.39230 | − | 4.26795i | 0.323863 | − | 0.186982i | −0.329250 | − | 0.944243i | \(-0.606796\pi\) |
0.653113 | + | 0.757260i | \(0.273463\pi\) | |||||||
\(522\) | −4.46410 | + | 1.19615i | −0.195388 | + | 0.0523542i | ||||
\(523\) | 6.50962 | + | 24.2942i | 0.284646 | + | 1.06231i | 0.949098 | + | 0.314982i | \(0.101998\pi\) |
−0.664452 | + | 0.747331i | \(0.731335\pi\) | |||||||
\(524\) | −12.9282 | − | 7.46410i | −0.564771 | − | 0.326071i | ||||
\(525\) | −16.7583 | + | 19.2942i | −0.731393 | + | 0.842069i | ||||
\(526\) | 0.509619 | − | 0.294229i | 0.0222204 | − | 0.0128290i | ||||
\(527\) | −41.7846 | + | 11.1962i | −1.82017 | + | 0.487712i | ||||
\(528\) | −5.46410 | + | 1.46410i | −0.237795 | + | 0.0637168i | ||||
\(529\) | 17.8301 | − | 10.2942i | 0.775223 | − | 0.447575i | ||||
\(530\) | −8.78461 | + | 4.39230i | −0.381579 | + | 0.190790i | ||||
\(531\) | 6.53590 | 0.283634 | ||||||||
\(532\) | −12.0000 | − | 13.8564i | −0.520266 | − | 0.600751i | ||||
\(533\) | 1.39230 | + | 1.39230i | 0.0603074 | + | 0.0603074i | ||||
\(534\) | − | 46.9808i | − | 2.03306i | ||||||
\(535\) | −12.0885 | + | 2.47372i | −0.522630 | + | 0.106948i | ||||
\(536\) | 5.66025 | + | 9.80385i | 0.244486 | + | 0.423462i | ||||
\(537\) | 7.02628 | + | 26.2224i | 0.303206 | + | 1.13158i | ||||
\(538\) | −1.29423 | + | 4.83013i | −0.0557982 | + | 0.208242i | ||||
\(539\) | −5.07180 | − | 0.732051i | −0.218458 | − | 0.0315317i | ||||
\(540\) | −13.0000 | − | 14.6603i | −0.559431 | − | 0.630877i | ||||
\(541\) | 1.79423 | + | 1.03590i | 0.0771399 | + | 0.0445368i | 0.538074 | − | 0.842898i | \(-0.319152\pi\) |
−0.460934 | + | 0.887434i | \(0.652485\pi\) | |||||||
\(542\) | 16.3923 | − | 4.39230i | 0.704110 | − | 0.188666i | ||||
\(543\) | 42.0167 | + | 11.2583i | 1.80311 | + | 0.483141i | ||||
\(544\) | −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 | \(-0.894348\pi\) |
0.325856 | + | 0.945420i | \(0.394348\pi\) | |||||||
\(548\) | −16.3923 | − | 4.39230i | −0.700245 | − | 0.187630i | ||||
\(549\) | 6.29423 | − | 3.63397i | 0.268631 | − | 0.155094i | ||||
\(550\) | −1.92820 | + | 4.80385i | −0.0822189 | + | 0.204837i | ||||
\(551\) | −13.3923 | − | 7.73205i | −0.570531 | − | 0.329396i | ||||
\(552\) | 6.00000 | − | 6.00000i | 0.255377 | − | 0.255377i | ||||
\(553\) | 25.8564 | − | 22.3923i | 1.09953 | − | 0.952218i | ||||
\(554\) | −23.7846 | + | 13.7321i | −1.01051 | + | 0.583419i | ||||
\(555\) | 28.8564 | + | 1.73205i | 1.22489 | + | 0.0735215i | ||||
\(556\) | 2.53590 | 0.107546 | ||||||||
\(557\) | −30.7583 | − | 8.24167i | −1.30327 | − | 0.349211i | −0.460586 | − | 0.887615i | \(-0.652361\pi\) |
−0.842687 | + | 0.538404i | \(0.819027\pi\) | |||||||
\(558\) | −7.46410 | + | 7.46410i | −0.315981 | + | 0.315981i | ||||
\(559\) | −14.1962 | −0.600433 | ||||||||
\(560\) | −21.8564 | − | 9.07180i | −0.923602 | − | 0.383353i | ||||
\(561\) | 6.00000 | 0.253320 | ||||||||
\(562\) | −24.2487 | + | 24.2487i | −1.02287 | + | 1.02287i | ||||
\(563\) | −26.3564 | − | 7.06218i | −1.11079 | − | 0.297635i | −0.343639 | − | 0.939102i | \(-0.611660\pi\) |
−0.767151 | + | 0.641466i | \(0.778326\pi\) | |||||||
\(564\) | 2.53590 | 0.106781 | ||||||||
\(565\) | 5.32051 | + | 6.00000i | 0.223835 | + | 0.252422i | ||||
\(566\) | 17.1962 | − | 9.92820i | 0.722808 | − | 0.417314i | ||||
\(567\) | −27.6962 | + | 5.33013i | −1.16313 | + | 0.223844i | ||||
\(568\) | −30.9282 | − | 30.9282i | −1.29772 | − | 1.29772i | ||||
\(569\) | −18.8038 | − | 10.8564i | −0.788298 | − | 0.455124i | 0.0510648 | − | 0.998695i | \(-0.483738\pi\) |
−0.839363 | + | 0.543571i | \(0.817072\pi\) | |||||||
\(570\) | −1.26795 | + | 21.1244i | −0.0531085 | + | 0.884802i | ||||
\(571\) | −14.7846 | + | 8.53590i | −0.618717 | + | 0.357216i | −0.776369 | − | 0.630278i | \(-0.782941\pi\) |
0.157653 | + | 0.987495i | \(0.449607\pi\) | |||||||
\(572\) | 6.00000 | + | 1.60770i | 0.250873 | + | 0.0672211i | ||||
\(573\) | −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 | ||||
\(577\) | −16.4904 | − | 4.41858i | −0.686504 | − | 0.183948i | −0.101326 | − | 0.994853i | \(-0.532309\pi\) |
−0.585178 | + | 0.810905i | \(0.698975\pi\) | |||||||
\(578\) | 1.36603 | − | 0.366025i | 0.0568192 | − | 0.0152246i | ||||
\(579\) | −20.0263 | − | 11.5622i | −0.832264 | − | 0.480508i | ||||
\(580\) | −19.9282 | − | 1.19615i | −0.827474 | − | 0.0496675i | ||||
\(581\) | 7.45448 | + | 15.3564i | 0.309264 | + | 0.637091i | ||||
\(582\) | −6.26795 | + | 23.3923i | −0.259815 | + | 0.969642i | ||||
\(583\) | 0.588457 | + | 2.19615i | 0.0243714 | + | 0.0909553i | ||||
\(584\) | 20.5359 | − | 11.8564i | 0.849782 | − | 0.490622i | ||||
\(585\) | −1.39230 | − | 6.80385i | −0.0575647 | − | 0.281304i | ||||
\(586\) | − | 8.39230i | − | 0.346683i | ||||||
\(587\) | 9.00000 | + | 9.00000i | 0.371470 | + | 0.371470i | 0.868012 | − | 0.496543i | \(-0.165397\pi\) |
−0.496543 | + | 0.868012i | \(0.665397\pi\) | |||||||
\(588\) | −21.6603 | + | 16.1962i | −0.893254 | + | 0.667918i | ||||
\(589\) | −35.3205 | −1.45536 | ||||||||
\(590\) | 26.7846 | + | 8.92820i | 1.10270 | + | 0.367568i | ||||
\(591\) | −13.0981 | + | 7.56218i | −0.538783 | + | 0.311066i | ||||
\(592\) | 6.92820 | + | 25.8564i | 0.284747 | + | 1.06269i | ||||
\(593\) | −14.1962 | + | 3.80385i | −0.582966 | + | 0.156205i | −0.538237 | − | 0.842794i | \(-0.680909\pi\) |
−0.0447296 | + | 0.998999i | \(0.514243\pi\) | |||||||
\(594\) | −3.92820 | + | 2.26795i | −0.161176 | + | 0.0930551i | ||||
\(595\) | 19.9019 | + | 15.2942i | 0.815899 | + | 0.627002i | ||||
\(596\) | −39.2487 | − | 22.6603i | −1.60769 | − | 0.928200i | ||||
\(597\) | 1.73205 | + | 6.46410i | 0.0708881 | + | 0.264558i | ||||
\(598\) | −9.00000 | + | 2.41154i | −0.368037 | + | 0.0986153i | ||||
\(599\) | −21.0000 | + | 12.1244i | −0.858037 | + | 0.495388i | −0.863354 | − | 0.504598i | \(-0.831641\pi\) |
0.00531761 | + | 0.999986i | \(0.498307\pi\) | |||||||
\(600\) | 10.7321 | + | 25.1244i | 0.438134 | + | 1.02570i | ||||
\(601\) | 28.3923i | 1.15815i | 0.815276 | + | 0.579073i | \(0.196585\pi\) | ||||
−0.815276 | + | 0.579073i | \(0.803415\pi\) | |||||||
\(602\) | 4.09808 | − | 11.8301i | 0.167025 | − | 0.482160i | ||||
\(603\) | −2.07180 | − | 2.07180i | −0.0843701 | − | 0.0843701i | ||||
\(604\) | −23.9090 | + | 13.8038i | −0.972842 | + | 0.561671i | ||||
\(605\) | −19.5263 | − | 12.8923i | −0.793856 | − | 0.524147i | ||||
\(606\) | −23.9545 | − | 13.8301i | −0.973084 | − | 0.561811i | ||||
\(607\) | −6.16025 | − | 22.9904i | −0.250037 | − | 0.933151i | −0.970784 | − | 0.239953i | \(-0.922868\pi\) |
0.720747 | − | 0.693198i | \(-0.243799\pi\) | |||||||
\(608\) | −18.9282 | + | 5.07180i | −0.767640 | + | 0.205689i | ||||
\(609\) | −12.7942 | + | 18.8923i | −0.518448 | + | 0.765555i | ||||
\(610\) | 30.7583 | − | 6.29423i | 1.24537 | − | 0.254846i | ||||
\(611\) | −2.41154 | − | 1.39230i | −0.0975606 | − | 0.0563266i | ||||
\(612\) | 4.39230 | − | 4.39230i | 0.177548 | − | 0.177548i | ||||
\(613\) | −1.43782 | + | 5.36603i | −0.0580731 | + | 0.216732i | −0.988864 | − | 0.148819i | \(-0.952453\pi\) |
0.930791 | + | 0.365551i | \(0.119119\pi\) | |||||||
\(614\) | −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 | 0.688176 | − | 0.725544i | \(-0.258412\pi\) |
−0.725544 | + | 0.688176i | \(0.758412\pi\) | |||||||
\(618\) | 24.8564 | − | 24.8564i | 0.999871 | − | 0.999871i | ||||
\(619\) | 15.2942 | − | 8.83013i | 0.614727 | − | 0.354913i | −0.160086 | − | 0.987103i | \(-0.551177\pi\) |
0.774813 | + | 0.632190i | \(0.217844\pi\) | |||||||
\(620\) | −40.7846 | + | 20.3923i | −1.63795 | + | 0.818975i | ||||
\(621\) | 3.40192 | − | 5.89230i | 0.136514 | − | 0.236450i | ||||
\(622\) | 9.12436 | − | 34.0526i | 0.365853 | − | 1.36538i | ||||
\(623\) | −29.7846 | − | 34.3923i | −1.19330 | − | 1.37790i | ||||
\(624\) | 28.3923 | − | 16.3923i | 1.13660 | − | 0.656217i | ||||
\(625\) | 24.2846 | + | 5.93782i | 0.971384 | + | 0.237513i | ||||
\(626\) | −11.8038 | + | 20.4449i | −0.471777 | + | 0.817141i | ||||
\(627\) | 4.73205 | + | 1.26795i | 0.188980 | + | 0.0506370i | ||||
\(628\) | 34.0526 | + | 9.12436i | 1.35885 | + | 0.364101i | ||||
\(629\) | − | 28.3923i | − | 1.13208i | ||||||
\(630\) | 6.07180 | + | 0.803848i | 0.241906 | + | 0.0320261i | ||||
\(631\) | −7.26795 | −0.289332 | −0.144666 | − | 0.989481i | \(-0.546211\pi\) | ||||
−0.144666 | + | 0.989481i | \(0.546211\pi\) | |||||||
\(632\) | −9.46410 | − | 35.3205i | −0.376462 | − | 1.40497i | ||||
\(633\) | 10.2679 | − | 38.3205i | 0.408114 | − | 1.52310i | ||||
\(634\) | 5.53590 | + | 3.19615i | 0.219859 | + | 0.126935i | ||||
\(635\) | 26.0263 | − | 23.0788i | 1.03282 | − | 0.915856i | ||||
\(636\) | 10.3923 | + | 6.00000i | 0.412082 | + | 0.237915i | ||||
\(637\) | 29.4904 | − | 3.50962i | 1.16845 | − | 0.139056i | ||||
\(638\) | −1.19615 | + | 4.46410i | −0.0473561 | + | 0.176735i | ||||
\(639\) | 9.80385 | + | 5.66025i | 0.387834 | + | 0.223916i | ||||
\(640\) | −18.9282 | + | 16.7846i | −0.748203 | + | 0.663470i | ||||
\(641\) | 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 | −0.507013 | − | 0.861938i | \(-0.669250\pi\) |
0.861938 | + | 0.507013i | \(0.169250\pi\) | |||||||
\(644\) | 0.588457 | − | 8.19615i | 0.0231885 | − | 0.322974i | ||||
\(645\) | −12.9282 | + | 6.46410i | −0.509048 | + | 0.254524i | ||||
\(646\) | 20.7846 | 0.817760 | ||||||||
\(647\) | 26.2583 | + | 7.03590i | 1.03232 | + | 0.276610i | 0.734928 | − | 0.678145i | \(-0.237216\pi\) |
0.297394 | + | 0.954755i | \(0.403883\pi\) | |||||||
\(648\) | −7.80385 | + | 29.1244i | −0.306564 | + | 1.14411i | ||||
\(649\) | 3.26795 | − | 5.66025i | 0.128278 | − | 0.222184i | ||||
\(650\) | 3.58846 | − | 29.7846i | 0.140751 | − | 1.16825i | ||||
\(651\) | −3.73205 | + | 51.9808i | −0.146271 | + | 2.03729i | ||||
\(652\) | 1.94744 | + | 7.26795i | 0.0762677 | + | 0.284635i | ||||
\(653\) | −31.4186 | + | 8.41858i | −1.22950 | + | 0.329445i | −0.814386 | − | 0.580323i | \(-0.802926\pi\) |
−0.415118 | + | 0.909768i | \(0.636260\pi\) | |||||||
\(654\) | 10.0981 | + | 5.83013i | 0.394866 | + | 0.227976i | ||||
\(655\) | 13.9282 | + | 9.19615i | 0.544220 | + | 0.359323i | ||||
\(656\) | 1.85641i | 0.0724805i | ||||||||
\(657\) | −4.33975 | + | 4.33975i | −0.169310 | + | 0.169310i | ||||
\(658\) | 1.85641 | − | 1.60770i | 0.0723703 | − | 0.0626745i | ||||
\(659\) | 39.3205 | 1.53171 | 0.765855 | − | 0.643014i | \(-0.222316\pi\) | ||||
0.765855 | + | 0.643014i | \(0.222316\pi\) | |||||||
\(660\) | 6.19615 | − | 1.26795i | 0.241185 | − | 0.0493549i | ||||
\(661\) | −19.9641 | − | 34.5788i | −0.776514 | − | 1.34496i | −0.933940 | − | 0.357430i | \(-0.883653\pi\) |
0.157426 | − | 0.987531i | \(-0.449680\pi\) | |||||||
\(662\) | 9.92820 | − | 2.66025i | 0.385871 | − | 0.103394i | ||||
\(663\) | −33.5885 | + | 9.00000i | −1.30447 | + | 0.349531i | ||||
\(664\) | 18.2487 | 0.708187 | ||||||||
\(665\) | 12.4641 | + | 16.2679i | 0.483337 | + | 0.630844i | ||||
\(666\) | −3.46410 | − | 6.00000i | −0.134231 | − | 0.232495i | ||||
\(667\) | −1.79423 | − | 6.69615i | −0.0694728 | − | 0.259276i | ||||
\(668\) | 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 | ||||||
\(672\) | 5.46410 | + | 28.3923i | 0.210782 | + | 1.09526i | ||||
\(673\) | −10.1962 | + | 10.1962i | −0.393033 | + | 0.393033i | −0.875767 | − | 0.482734i | \(-0.839644\pi\) |
0.482734 | + | 0.875767i | \(0.339644\pi\) | |||||||
\(674\) | −39.3205 | −1.51457 | ||||||||
\(675\) | 13.5263 | + | 17.2321i | 0.520627 | + | 0.663262i | ||||
\(676\) | −10.0000 | −0.384615 | ||||||||
\(677\) | −4.56218 | + | 1.22243i | −0.175339 | + | 0.0469819i | −0.345420 | − | 0.938448i | \(-0.612264\pi\) |
0.170081 | + | 0.985430i | \(0.445597\pi\) | |||||||
\(678\) | 2.53590 | − | 9.46410i | 0.0973906 | − | 0.363467i | ||||
\(679\) | 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 | ||||
\(682\) | 2.73205 | + | 10.1962i | 0.104616 | + | 0.390431i | ||||
\(683\) | 7.86603 | − | 29.3564i | 0.300985 | − | 1.12329i | −0.635362 | − | 0.772215i | \(-0.719149\pi\) |
0.936347 | − | 0.351077i | \(-0.114184\pi\) | |||||||
\(684\) | 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 | ||||
\(690\) | −7.09808 | + | 6.29423i | −0.270219 | + | 0.239617i | ||||
\(691\) | 21.7583 | − | 37.6865i | 0.827726 | − | 1.43366i | −0.0720922 | − | 0.997398i | \(-0.522968\pi\) |
0.899818 | − | 0.436265i | \(-0.143699\pi\) | |||||||
\(692\) | −0.928203 | + | 0.248711i | −0.0352850 | + | 0.00945459i | ||||
\(693\) | 0.464102 | − | 1.33975i | 0.0176298 | − | 0.0508927i | ||||
\(694\) | 44.2750 | − | 25.5622i | 1.68066 | − | 0.970327i | ||||
\(695\) | −2.83013 | − | 0.169873i | −0.107353 | − | 0.00644365i | ||||
\(696\) | 12.1962 | + | 21.1244i | 0.462294 | + | 0.800717i | ||||
\(697\) | 0.509619 | − | 1.90192i | 0.0193032 | − | 0.0720405i | ||||
\(698\) | 19.9808 | + | 19.9808i | 0.756283 | + | 0.756283i | ||||
\(699\) | − | 14.1962i | − | 0.536948i | ||||||
\(700\) | 23.7846 | + | 11.5885i | 0.898974 | + | 0.438003i | ||||
\(701\) | 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 | ||||
\(703\) | 6.00000 | − | 22.3923i | 0.226294 | − | 0.844542i | ||||
\(704\) | 2.92820 | + | 5.07180i | 0.110361 | + | 0.191151i | ||||
\(705\) | −2.83013 | − | 0.169873i | −0.106589 | − | 0.00639779i | ||||
\(706\) | 18.5885 | + | 32.1962i | 0.699586 | + | 1.21172i | ||||
\(707\) | −26.3038 | + | 5.06218i | −0.989258 | + | 0.190383i | ||||
\(708\) | −8.92820 | − | 33.3205i | −0.335542 | − | 1.25226i | ||||
\(709\) | 7.96410 | − | 13.7942i | 0.299098 | − | 0.518053i | −0.676832 | − | 0.736138i | \(-0.736648\pi\) |
0.975930 | + | 0.218085i | \(0.0699809\pi\) | |||||||
\(710\) | 32.4449 | + | 36.5885i | 1.21763 | + | 1.37314i | ||||
\(711\) | 4.73205 | + | 8.19615i | 0.177466 | + | 0.307380i | ||||
\(712\) | −46.9808 | + | 12.5885i | −1.76068 | + | 0.471772i | ||||
\(713\) | −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 | ||||
\(717\) | −2.36603 | + | 8.83013i | −0.0883608 | + | 0.329767i | ||||
\(718\) | −6.46410 | + | 1.73205i | −0.241238 | + | 0.0646396i | ||||
\(719\) | 5.36603 | − | 9.29423i | 0.200119 | − | 0.346616i | −0.748448 | − | 0.663194i | \(-0.769200\pi\) |
0.948567 | + | 0.316578i | \(0.102534\pi\) | |||||||
\(720\) | 3.60770 | − | 5.46410i | 0.134451 | − | 0.203635i | ||||
\(721\) | 2.43782 | − | 33.9545i | 0.0907892 | − | 1.26453i | ||||
\(722\) | −9.56218 | − | 2.56218i | −0.355867 | − | 0.0953544i | ||||
\(723\) | −38.0526 | + | 10.1962i | −1.41519 | + | 0.379199i | ||||
\(724\) | − | 45.0333i | − | 1.67365i | ||||||
\(725\) | 22.1603 | + | 2.66987i | 0.823011 | + | 0.0991566i | ||||
\(726\) | 28.5885i | 1.06102i | ||||||||
\(727\) | 17.2942 | − | 17.2942i | 0.641407 | − | 0.641407i | −0.309494 | − | 0.950901i | \(-0.600160\pi\) |
0.950901 | + | 0.309494i | \(0.100160\pi\) | |||||||
\(728\) | 10.3923 | − | 30.0000i | 0.385164 | − | 1.11187i | ||||
\(729\) | 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 | ||||
\(733\) | −5.70577 | − | 21.2942i | −0.210747 | − | 0.786520i | −0.987620 | − | 0.156863i | \(-0.949862\pi\) |
0.776873 | − | 0.629657i | \(-0.216805\pi\) | |||||||
\(734\) | 10.2224 | − | 5.90192i | 0.377317 | − | 0.217844i | ||||
\(735\) | 25.2583 | − | 16.6244i | 0.931668 | − | 0.613199i | ||||
\(736\) | −7.60770 | − | 4.39230i | −0.280423 | − | 0.161903i | ||||
\(737\) | −2.83013 | + | 0.758330i | −0.104249 | + | 0.0279335i | ||||
\(738\) | −0.124356 | − | 0.464102i | −0.00457759 | − | 0.0170838i | ||||
\(739\) | 5.83013 | + | 10.0981i | 0.214465 | + | 0.371464i | 0.953107 | − | 0.302634i | \(-0.0978660\pi\) |
−0.738642 | + | 0.674098i | \(0.764533\pi\) | |||||||
\(740\) | −6.00000 | − | 29.3205i | −0.220564 | − | 1.07784i | ||||
\(741\) | −28.3923 | −1.04302 | ||||||||
\(742\) | 11.4115 | − | 2.19615i | 0.418931 | − | 0.0806233i | ||||
\(743\) | −33.4186 | + | 33.4186i | −1.22601 | + | 1.22601i | −0.260548 | + | 0.965461i | \(0.583903\pi\) |
−0.965461 | + | 0.260548i | \(0.916097\pi\) | |||||||
\(744\) | 48.2487 | + | 27.8564i | 1.76888 | + | 1.02127i | ||||
\(745\) | 42.2846 | + | 27.9186i | 1.54919 | + | 1.02286i | ||||
\(746\) | −6.92820 | + | 12.0000i | −0.253660 | + | 0.439351i | ||||
\(747\) | −4.56218 | + | 1.22243i | −0.166921 | + | 0.0447264i | ||||
\(748\) | −1.60770 | − | 6.00000i | −0.0587832 | − | 0.219382i | ||||
\(749\) | 14.5622 | + | 1.04552i | 0.532090 | + | 0.0382024i | ||||
\(750\) | −10.2942 | − | 28.7583i | −0.375892 | − | 1.05011i | ||||
\(751\) | 5.19615 | − | 9.00000i | 0.189610 | − | 0.328415i | −0.755510 | − | 0.655137i | \(-0.772611\pi\) |
0.945120 | + | 0.326722i | \(0.105944\pi\) | |||||||
\(752\) | −0.679492 | − | 2.53590i | −0.0247785 | − | 0.0924747i | ||||
\(753\) | −36.6865 | − | 9.83013i | −1.33693 | − | 0.358230i | ||||
\(754\) | − | 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 | 0.457476 | − | 0.889222i | \(-0.348753\pi\) |
0.889222 | − | 0.457476i | \(-0.151247\pi\) | |||||||
\(758\) | −30.2487 | + | 30.2487i | −1.09868 | + | 1.09868i | ||||
\(759\) | 1.09808 | + | 1.90192i | 0.0398576 | + | 0.0690355i | ||||
\(760\) | 21.4641 | − | 4.39230i | 0.778585 | − | 0.159326i | ||||
\(761\) | −30.8038 | − | 17.7846i | −1.11664 | − | 0.644692i | −0.176098 | − | 0.984373i | \(-0.556348\pi\) |
−0.940541 | + | 0.339681i | \(0.889681\pi\) | |||||||
\(762\) | −41.0526 | − | 11.0000i | −1.48718 | − | 0.398488i | ||||
\(763\) | 11.0885 | − | 2.13397i | 0.401429 | − | 0.0772551i | ||||
\(764\) | 5.41154 | + | 3.12436i | 0.195783 | + | 0.113035i | ||||
\(765\) | −5.19615 | + | 4.60770i | −0.187867 | + | 0.166592i | ||||
\(766\) | −5.36603 | + | 9.29423i | −0.193882 | + | 0.335814i | ||||
\(767\) | −9.80385 | + | 36.5885i | −0.353996 | + | 1.32113i | ||||
\(768\) | 29.8564 | + | 8.00000i | 1.07735 | + | 0.288675i | ||||
\(769\) | −22.6410 | −0.816456 | −0.408228 | − | 0.912880i | \(-0.633853\pi\) | ||||
−0.408228 | + | 0.912880i | \(0.633853\pi\) | |||||||
\(770\) | 3.73205 | − | 4.85641i | 0.134494 | − | 0.175013i | ||||
\(771\) | 51.7128i | 1.86239i | ||||||||
\(772\) | −6.19615 | + | 23.1244i | −0.223004 | + | 0.832264i | ||||
\(773\) | 13.0981 | + | 3.50962i | 0.471105 | + | 0.126232i | 0.486558 | − | 0.873648i | \(-0.338252\pi\) |
−0.0154528 | + | 0.999881i | \(0.504919\pi\) | |||||||
\(774\) | 3.00000 | + | 1.73205i | 0.107833 | + | 0.0622573i | ||||
\(775\) | 46.8827 | − | 20.0263i | 1.68408 | − | 0.719365i | ||||
\(776\) | 25.0718 | 0.900025 | ||||||||
\(777\) | −32.3205 | − | 11.1962i | −1.15949 | − | 0.401660i | ||||
\(778\) | −20.5885 | − | 5.51666i | −0.738132 | − | 0.197782i | ||||
\(779\) | 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 | ||||||
\(787\) | −2.72243 | + | 10.1603i | −0.0970442 | + | 0.362174i | −0.997321 | − | 0.0731430i | \(-0.976697\pi\) |
0.900277 | + | 0.435317i | \(0.143364\pi\) | |||||||
\(788\) | 11.0718 | + | 11.0718i | 0.394416 | + | 0.394416i | ||||
\(789\) | 0.696152 | + | 0.401924i | 0.0247837 | + | 0.0143089i | ||||
\(790\) | 8.19615 | + | 40.0526i | 0.291606 | + | 1.42501i | ||||
\(791\) | −4.14359 | − | 8.53590i | −0.147329 | − | 0.303502i | ||||
\(792\) | −1.07180 | − | 1.07180i | −0.0380846 | − | 0.0380846i | ||||
\(793\) | 10.9019 | + | 40.6865i | 0.387139 | + | 1.44482i | ||||
\(794\) | −15.9282 | + | 27.5885i | −0.565271 | + | 0.979078i | ||||
\(795\) | −11.1962 | − | 7.39230i | −0.397087 | − | 0.262178i | ||||
\(796\) | 6.00000 | − | 3.46410i | 0.212664 | − | 0.122782i | ||||
\(797\) | −0.928203 | − | 0.928203i | −0.0328786 | − | 0.0328786i | 0.690476 | − | 0.723355i | \(-0.257401\pi\) |
−0.723355 | + | 0.690476i | \(0.757401\pi\) | |||||||
\(798\) | 8.19615 | − | 23.6603i | 0.290141 | − | 0.837564i | ||||
\(799\) | 2.78461i | 0.0985124i | ||||||||
\(800\) | 22.2487 | − | 17.4641i | 0.786611 | − | 0.617449i | ||||
\(801\) | 10.9019 | − | 6.29423i | 0.385201 | − | 0.222396i | ||||
\(802\) | −11.2417 | − | 41.9545i | −0.396957 | − | 1.48146i | ||||
\(803\) | 1.58846 | + | 5.92820i | 0.0560554 | + | 0.209202i | ||||
\(804\) | −7.73205 | + | 13.3923i | −0.272688 | + | 0.472310i | ||||
\(805\) | −1.20577 | + | 9.10770i | −0.0424979 | + | 0.321004i | ||||
\(806\) | −30.5885 | − | 52.9808i | −1.07743 | − | 1.86617i | ||||
\(807\) | −6.59808 | + | 1.76795i | −0.232263 | + | 0.0622348i | ||||
\(808\) | −7.41154 | + | 27.6603i | −0.260737 | + | 0.973084i | ||||
\(809\) | 40.5788 | − | 23.4282i | 1.42668 | − | 0.823692i | 0.429819 | − | 0.902915i | \(-0.358577\pi\) |
0.996857 | + | 0.0792233i | \(0.0252440\pi\) | |||||||
\(810\) | 10.6603 | − | 31.9808i | 0.374563 | − | 1.12369i | ||||
\(811\) | −30.3397 | −1.06537 | −0.532686 | − | 0.846313i | \(-0.678817\pi\) | ||||
−0.532686 | + | 0.846313i | \(0.678817\pi\) | |||||||
\(812\) | 22.3205 | + | 7.73205i | 0.783296 | + | 0.271342i | ||||
\(813\) | 16.3923 | + | 16.3923i | 0.574903 | + | 0.574903i | ||||
\(814\) | −6.92820 | −0.242833 | ||||||||
\(815\) | −1.68653 | − | 8.24167i | −0.0590767 | − | 0.288693i | ||||
\(816\) | −28.3923 | − | 16.3923i | −0.993929 | − | 0.573845i | ||||
\(817\) | 3.00000 | + | 11.1962i | 0.104957 | + | 0.391704i | ||||
\(818\) | −15.5622 | − | 4.16987i | −0.544119 | − | 0.145796i | ||||
\(819\) | −0.588457 | + | 8.19615i | −0.0205624 | + | 0.286397i | ||||
\(820\) | 0.124356 | − | 2.07180i | 0.00434269 | − | 0.0723503i | ||||
\(821\) | 9.92820 | + | 5.73205i | 0.346497 | + | 0.200050i | 0.663141 | − | 0.748494i | \(-0.269223\pi\) |
−0.316645 | + | 0.948544i | \(0.602556\pi\) | |||||||
\(822\) | −6.00000 | − | 22.3923i | −0.209274 | − | 0.781021i | ||||
\(823\) | −13.6962 | − | 3.66987i | −0.477418 | − | 0.127924i | 0.0120822 | − | 0.999927i | \(-0.496154\pi\) |
−0.489500 | + | 0.872003i | \(0.662821\pi\) | |||||||
\(824\) | −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 | \(-0.611431\pi\) |
0.939349 | + | 0.342963i | \(0.111431\pi\) | |||||||
\(828\) | 2.19615 | + | 0.588457i | 0.0763216 | + | 0.0204503i | ||||
\(829\) | −8.19615 | + | 4.73205i | −0.284664 | + | 0.164351i | −0.635533 | − | 0.772074i | \(-0.719220\pi\) |
0.350869 | + | 0.936425i | \(0.385886\pi\) | |||||||
\(830\) | −20.3660 | − | 1.22243i | −0.706915 | − | 0.0424312i | ||||
\(831\) | −32.4904 | − | 18.7583i | −1.12708 | − | 0.650719i | ||||
\(832\) | −24.0000 | − | 24.0000i | −0.832050 | − | 0.832050i | ||||
\(833\) | −17.7846 | − | 23.7846i | −0.616200 | − | 0.824088i | ||||
\(834\) | 1.73205 | + | 3.00000i | 0.0599760 | + | 0.103882i | ||||
\(835\) | −6.91154 | − | 7.79423i | −0.239184 | − | 0.269730i | ||||
\(836\) | − | 5.07180i | − | 0.175412i | ||||||
\(837\) | 43.1506 | + | 11.5622i | 1.49150 | + | 0.399647i | ||||
\(838\) | 2.39230 | + | 2.39230i | 0.0826408 | + | 0.0826408i | ||||
\(839\) | −14.1962 | −0.490106 | −0.245053 | − | 0.969510i | \(-0.578805\pi\) | ||||
−0.245053 | + | 0.969510i | \(0.578805\pi\) | |||||||
\(840\) | −4.19615 | − | 32.0526i | −0.144781 | − | 1.10592i | ||||
\(841\) | −9.07180 | −0.312821 | ||||||||
\(842\) | 30.1244 | + | 30.1244i | 1.03815 | + | 1.03815i | ||||
\(843\) | −45.2487 | − | 12.1244i | −1.55845 | − | 0.417585i | ||||
\(844\) | −41.0718 | −1.41375 | ||||||||
\(845\) | 11.1603 | + | 0.669873i | 0.383924 | + | 0.0230443i | ||||
\(846\) | 0.339746 | + | 0.588457i | 0.0116807 | + | 0.0202316i | ||||
\(847\) | 18.1244 | + | 20.9282i | 0.622760 | + | 0.719102i | ||||
\(848\) | 3.21539 | − | 12.0000i | 0.110417 | − | 0.412082i | ||||
\(849\) | 23.4904 | + | 13.5622i | 0.806188 | + | 0.465453i | ||||
\(850\) | −27.5885 | + | 11.7846i | −0.946276 | + | 0.404209i | ||||
\(851\) | 9.00000 | − | 5.19615i | 0.308516 | − | 0.178122i | ||||
\(852\) | 15.4641 | − | 57.7128i | 0.529791 | − | 1.97721i | ||||
\(853\) | −29.3205 | + | 29.3205i | −1.00392 | + | 1.00392i | −0.00392277 | + | 0.999992i | \(0.501249\pi\) |
−0.999992 | + | 0.00392277i | \(0.998751\pi\) | |||||||
\(854\) | −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 | ||||
\(857\) | 15.7583 | + | 4.22243i | 0.538294 | + | 0.144236i | 0.517716 | − | 0.855553i | \(-0.326782\pi\) |
0.0205786 | + | 0.999788i | \(0.493449\pi\) | |||||||
\(858\) | 2.19615 | + | 8.19615i | 0.0749754 | + | 0.279812i | ||||
\(859\) | 14.1962 | + | 8.19615i | 0.484366 | + | 0.279649i | 0.722234 | − | 0.691648i | \(-0.243115\pi\) |
−0.237868 | + | 0.971298i | \(0.576449\pi\) | |||||||
\(860\) | 9.92820 | + | 11.1962i | 0.338549 | + | 0.381786i | ||||
\(861\) | −1.96410 | − | 1.33013i | −0.0669364 | − | 0.0453306i | ||||
\(862\) | 18.1244 | + | 4.85641i | 0.617318 | + | 0.165410i | ||||
\(863\) | 6.23205 | + | 23.2583i | 0.212141 | + | 0.791723i | 0.987153 | + | 0.159776i | \(0.0510772\pi\) |
−0.775012 | + | 0.631947i | \(0.782256\pi\) | |||||||
\(864\) | 24.7846 | 0.843190 | ||||||||
\(865\) | 1.05256 | − | 0.215390i | 0.0357881 | − | 0.00732349i | ||||
\(866\) | 22.9282 | 0.779132 | ||||||||
\(867\) | 1.36603 | + | 1.36603i | 0.0463927 | + | 0.0463927i | ||||
\(868\) | 52.9808 | − | 10.1962i | 1.79828 | − | 0.346080i | ||||
\(869\) | 9.46410 | 0.321048 | ||||||||
\(870\) | −12.1962 | − | 24.3923i | −0.413488 | − | 0.826977i | ||||
\(871\) | 14.7058 | − | 8.49038i | 0.498286 | − | 0.287686i | ||||
\(872\) | 3.12436 | − | 11.6603i | 0.105804 | − | 0.394866i | ||||
\(873\) | −6.26795 | + | 1.67949i | −0.212138 | + | 0.0568422i | ||||
\(874\) | 3.80385 | + | 6.58846i | 0.128667 | + | 0.222858i | ||||
\(875\) | −25.7679 | − | 14.5263i | −0.871116 | − | 0.491078i | ||||
\(876\) | 28.0526 | + | 16.1962i | 0.947808 | + | 0.547217i | ||||
\(877\) | −5.19615 | − | 19.3923i | −0.175462 | − | 0.654832i | −0.996473 | − | 0.0839192i | \(-0.973256\pi\) |
0.821011 | − | 0.570912i | \(-0.193410\pi\) | |||||||
\(878\) | −1.94744 | − | 7.26795i | −0.0657230 | − | 0.245281i | ||||
\(879\) | 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 | \(0.848202\pi\) | |||||||
\(882\) | −6.66025 | − | 2.85641i | −0.224262 | − | 0.0961802i | ||||
\(883\) | 15.2487 | + | 15.2487i | 0.513160 | + | 0.513160i | 0.915493 | − | 0.402333i | \(-0.131801\pi\) |
−0.402333 | + | 0.915493i | \(0.631801\pi\) | |||||||
\(884\) | 18.0000 | + | 31.1769i | 0.605406 | + | 1.04859i | ||||
\(885\) | 7.73205 | + | 37.7846i | 0.259910 | + | 1.27012i | ||||
\(886\) | 24.4186 | − | 42.2942i | 0.820358 | − | 1.42090i | ||||
\(887\) | −0.820508 | − | 3.06218i | −0.0275500 | − | 0.102818i | 0.950782 | − | 0.309861i | \(-0.100283\pi\) |
−0.978332 | + | 0.207043i | \(0.933616\pi\) | |||||||
\(888\) | −25.8564 | + | 25.8564i | −0.867684 | + | 0.867684i | ||||
\(889\) | −37.0263 | + | 17.9737i | −1.24182 | + | 0.602819i | ||||
\(890\) | 53.2750 | − | 10.9019i | 1.78578 | − | 0.365433i | ||||
\(891\) | −6.75833 | − | 3.90192i | −0.226413 | − | 0.130719i | ||||
\(892\) | −15.8564 | + | 15.8564i | −0.530912 | + | 0.530912i | ||||
\(893\) | −0.588457 | + | 2.19615i | −0.0196920 | + | 0.0734914i | ||||
\(894\) | − | 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 | ||||
\(902\) | −0.464102 | − | 0.124356i | −0.0154529 | − | 0.00414059i | ||||
\(903\) | 16.7942 | − | 3.23205i | 0.558877 | − | 0.107556i | ||||
\(904\) | −10.1436 | −0.337371 | ||||||||
\(905\) | −3.01666 | + | 50.2583i | −0.100277 | + | 1.67064i | ||||
\(906\) | −32.6603 | − | 18.8564i | −1.08506 | − | 0.626462i | ||||
\(907\) | 4.50000 | + | 1.20577i | 0.149420 | + | 0.0400370i | 0.332754 | − | 0.943014i | \(-0.392022\pi\) |
−0.183334 | + | 0.983051i | \(0.558689\pi\) | |||||||
\(908\) | 25.6603 | + | 6.87564i | 0.851565 | + | 0.228176i | ||||
\(909\) | − | 7.41154i | − | 0.245825i | ||||||
\(910\) | −13.6077 | + | 32.7846i | −0.451091 | + | 1.08680i | ||||
\(911\) | 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 | ||||
\(913\) | −1.22243 | + | 4.56218i | −0.0404566 | + | 0.150986i | ||||
\(914\) | 10.1962 | − | 17.6603i | 0.337259 | − | 0.584149i | ||||
\(915\) | 28.4545 | + | 32.0885i | 0.940676 | + | 1.06081i | ||||
\(916\) | 15.4641 | − | 26.7846i | 0.510948 | − | 0.884988i | ||||
\(917\) | −12.9282 | − | 14.9282i | −0.426927 | − | 0.492973i | ||||
\(918\) | −25.3923 | − | 6.80385i | −0.838071 | − | 0.224560i | ||||
\(919\) | 39.0000 | + | 22.5167i | 1.28649 | + | 0.742756i | 0.978027 | − | 0.208480i | \(-0.0668515\pi\) |
0.308465 | + | 0.951236i | \(0.400185\pi\) | |||||||
\(920\) | 8.19615 | + | 5.41154i | 0.270219 | + | 0.178413i | ||||
\(921\) | −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 | ||||||
\(927\) | 9.09808 | + | 2.43782i | 0.298820 | + | 0.0800686i | ||||
\(928\) | 17.8564 | − | 17.8564i | 0.586165 | − | 0.586165i | ||||
\(929\) | 4.16025 | − | 7.20577i | 0.136494 | − | 0.236414i | −0.789673 | − | 0.613527i | \(-0.789750\pi\) |
0.926167 | + | 0.377114i | \(0.123083\pi\) | |||||||
\(930\) | −51.9808 | − | 34.3205i | −1.70452 | − | 1.12541i | ||||
\(931\) | −9.00000 | − | 22.5167i | −0.294963 | − | 0.737954i | ||||
\(932\) | −14.1962 | + | 3.80385i | −0.465010 | + | 0.124599i | ||||
\(933\) | 46.5167 | − | 12.4641i | 1.52289 | − | 0.408056i | ||||
\(934\) | 4.56218 | − | 7.90192i | 0.149279 | − | 0.258559i | ||||
\(935\) | 1.39230 | + | 6.80385i | 0.0455332 | + | 0.222510i | ||||
\(936\) | 7.60770 | + | 4.39230i | 0.248665 | + | 0.143567i | ||||
\(937\) | −0.392305 | + | 0.392305i | −0.0128160 | + | 0.0128160i | −0.713486 | − | 0.700670i | \(-0.752885\pi\) |
0.700670 | + | 0.713486i | \(0.252885\pi\) | |||||||
\(938\) | 2.83013 | + | 14.7058i | 0.0924069 | + | 0.480160i | ||||
\(939\) | −32.2487 | −1.05240 | ||||||||
\(940\) | 0.588457 | + | 2.87564i | 0.0191934 | + | 0.0937932i | ||||
\(941\) | 9.73205 | + | 16.8564i | 0.317256 | + | 0.549503i | 0.979914 | − | 0.199418i | \(-0.0639053\pi\) |
−0.662659 | + | 0.748922i | \(0.730572\pi\) | |||||||
\(942\) | 12.4641 | + | 46.5167i | 0.406102 | + | 1.51559i | ||||
\(943\) | 0.696152 | − | 0.186533i | 0.0226698 | − | 0.00607437i | ||||
\(944\) | −30.9282 | + | 17.8564i | −1.00663 | + | 0.581177i | ||||
\(945\) | −9.90192 | − | 23.9545i | −0.322110 | − | 0.779239i | ||||
\(946\) | 3.00000 | − | 1.73205i | 0.0975384 | − | 0.0563138i | ||||
\(947\) | 5.98334 | + | 22.3301i | 0.194432 | + | 0.725632i | 0.992413 | + | 0.122949i | \(0.0392350\pi\) |
−0.797981 | + | 0.602683i | \(0.794098\pi\) | |||||||
\(948\) | 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 | ||||||||
\(952\) | −31.1769 | + | 6.00000i | −1.01045 | + | 0.194461i | ||||
\(953\) | 3.46410 | − | 3.46410i | 0.112213 | − | 0.112213i | −0.648771 | − | 0.760984i | \(-0.724717\pi\) |
0.760984 | + | 0.648771i | \(0.224717\pi\) | |||||||
\(954\) | 3.21539i | 0.104102i | ||||||||
\(955\) | −5.83013 | − | 3.84936i | −0.188658 | − | 0.124563i | ||||
\(956\) | 9.46410 | 0.306091 | ||||||||
\(957\) | −6.09808 | + | 1.63397i | −0.197123 | + | 0.0528189i | ||||
\(958\) | −5.19615 | − | 1.39230i | −0.167880 | − | 0.0449833i | ||||
\(959\) | −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 | ||||
\(962\) | 38.7846 | − | 10.3923i | 1.25047 | − | 0.335061i | ||||
\(963\) | −1.04552 | + | 3.90192i | −0.0336913 | + | 0.125738i | ||||
\(964\) | 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 | 0.517635 | − | 0.855602i | \(-0.326813\pi\) |
−0.855602 | + | 0.517635i | \(0.826813\pi\) | |||||||
\(968\) | 28.5885 | − | 7.66025i | 0.918868 | − | 0.246210i | ||||
\(969\) | 14.1962 | + | 24.5885i | 0.456046 | + | 0.789895i | ||||
\(970\) | −27.9808 | − | 1.67949i | −0.898408 | − | 0.0539252i | ||||
\(971\) | −10.0000 | + | 17.3205i | −0.320915 | + | 0.555842i | −0.980677 | − | 0.195633i | \(-0.937324\pi\) |
0.659762 | + | 0.751475i | \(0.270657\pi\) | |||||||
\(972\) | −14.3923 | + | 3.85641i | −0.461633 | + | 0.123694i | ||||
\(973\) | 3.16987 | + | 1.09808i | 0.101621 | + | 0.0352027i | ||||
\(974\) | −13.9282 | − | 24.1244i | −0.446288 | − | 0.772994i | ||||
\(975\) | 37.6865 | − | 16.0981i | 1.20694 | − | 0.515551i | ||||
\(976\) | −19.8564 | + | 34.3923i | −0.635588 | + | 1.10087i | ||||
\(977\) | −5.36603 | + | 20.0263i | −0.171674 | + | 0.640697i | 0.825420 | + | 0.564519i | \(0.190938\pi\) |
−0.997094 | + | 0.0761781i | \(0.975728\pi\) | |||||||
\(978\) | −7.26795 | + | 7.26795i | −0.232403 | + | 0.232403i | ||||
\(979\) | − | 12.5885i | − | 0.402329i | ||||||
\(980\) | −23.3923 | − | 20.8038i | −0.747240 | − | 0.664555i | ||||
\(981\) | 3.12436i | 0.0997530i | ||||||||
\(982\) | 12.1962 | + | 12.1962i | 0.389195 | + | 0.389195i | ||||
\(983\) | 3.27757 | − | 12.2321i | 0.104538 | − | 0.390142i | −0.893754 | − | 0.448557i | \(-0.851938\pi\) |
0.998292 | + | 0.0584153i | \(0.0186047\pi\) | |||||||
\(984\) | −2.19615 | + | 1.26795i | −0.0700108 | + | 0.0404207i | ||||
\(985\) | −11.6147 | − | 13.0981i | −0.370076 | − | 0.417339i | ||||
\(986\) | −23.1962 | + | 13.3923i | −0.738716 | + | 0.426498i | ||||
\(987\) | 3.16987 | + | 1.09808i | 0.100898 | + | 0.0349522i | ||||
\(988\) | 7.60770 | + | 28.3923i | 0.242033 | + | 0.903280i | ||||
\(989\) | −2.59808 | + | 4.50000i | −0.0826140 | + | 0.143092i | ||||
\(990\) | 1.12436 | + | 1.26795i | 0.0357344 | + | 0.0402981i | ||||
\(991\) | −17.6865 | − | 30.6340i | −0.561831 | − | 0.973120i | −0.997337 | − | 0.0729342i | \(-0.976764\pi\) |
0.435506 | − | 0.900186i | \(-0.356570\pi\) | |||||||
\(992\) | 14.9282 | − | 55.7128i | 0.473971 | − | 1.76888i | ||||
\(993\) | 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 | ||||
\(997\) | 3.00000 | − | 11.1962i | 0.0950110 | − | 0.354586i | −0.902010 | − | 0.431715i | \(-0.857909\pi\) |
0.997021 | + | 0.0771291i | \(0.0245754\pi\) | |||||||
\(998\) | −4.94744 | − | 18.4641i | −0.156609 | − | 0.584471i | ||||
\(999\) | −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.d.117.1 | yes | 4 | |
5.3 | odd | 4 | 280.2.bv.a.173.1 | yes | 4 | ||
7.3 | odd | 6 | 280.2.bv.b.157.1 | yes | 4 | ||
8.5 | even | 2 | 280.2.bv.c.117.1 | yes | 4 | ||
35.3 | even | 12 | 280.2.bv.c.213.1 | yes | 4 | ||
40.13 | odd | 4 | 280.2.bv.b.173.1 | yes | 4 | ||
56.45 | odd | 6 | 280.2.bv.a.157.1 | ✓ | 4 | ||
280.213 | even | 12 | inner | 280.2.bv.d.213.1 | yes | 4 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
280.2.bv.a.157.1 | ✓ | 4 | 56.45 | odd | 6 | ||
280.2.bv.a.173.1 | yes | 4 | 5.3 | odd | 4 | ||
280.2.bv.b.157.1 | yes | 4 | 7.3 | odd | 6 | ||
280.2.bv.b.173.1 | yes | 4 | 40.13 | odd | 4 | ||
280.2.bv.c.117.1 | yes | 4 | 8.5 | even | 2 | ||
280.2.bv.c.213.1 | yes | 4 | 35.3 | even | 12 | ||
280.2.bv.d.117.1 | yes | 4 | 1.1 | even | 1 | trivial | |
280.2.bv.d.213.1 | yes | 4 | 280.213 | even | 12 | inner |