Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [441,2,Mod(148,441)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(441, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([2, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("441.148");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 441 = 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 441.f (of order \(3\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.52140272914\) |
Analytic rank: | \(0\) |
Dimension: | \(2\) |
Coefficient field: | \(\Q(\zeta_{6})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{2} - x + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 63) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 295.1 | ||
Root | \(0.500000 + 0.866025i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 441.295 |
Dual form | 441.2.f.b.148.1 |
$q$-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 \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(344\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{2}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.500000 | + | 0.866025i | −0.353553 | + | 0.612372i | −0.986869 | − | 0.161521i | \(-0.948360\pi\) |
0.633316 | + | 0.773893i | \(0.281693\pi\) | |||||||
\(3\) | 1.50000 | − | 0.866025i | 0.866025 | − | 0.500000i | ||||
\(4\) | 0.500000 | + | 0.866025i | 0.250000 | + | 0.433013i | ||||
\(5\) | 0.500000 | + | 0.866025i | 0.223607 | + | 0.387298i | 0.955901 | − | 0.293691i | \(-0.0948835\pi\) |
−0.732294 | + | 0.680989i | \(0.761550\pi\) | |||||||
\(6\) | 1.73205i | 0.707107i | ||||||||
\(7\) | 0 | 0 | ||||||||
\(8\) | −3.00000 | −1.06066 | ||||||||
\(9\) | 1.50000 | − | 2.59808i | 0.500000 | − | 0.866025i | ||||
\(10\) | −1.00000 | −0.316228 | ||||||||
\(11\) | −2.50000 | + | 4.33013i | −0.753778 | + | 1.30558i | 0.192201 | + | 0.981356i | \(0.438437\pi\) |
−0.945979 | + | 0.324227i | \(0.894896\pi\) | |||||||
\(12\) | 1.50000 | + | 0.866025i | 0.433013 | + | 0.250000i | ||||
\(13\) | 2.50000 | + | 4.33013i | 0.693375 | + | 1.20096i | 0.970725 | + | 0.240192i | \(0.0772105\pi\) |
−0.277350 | + | 0.960769i | \(0.589456\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 1.50000 | + | 0.866025i | 0.387298 | + | 0.223607i | ||||
\(16\) | 0.500000 | − | 0.866025i | 0.125000 | − | 0.216506i | ||||
\(17\) | 3.00000 | 0.727607 | 0.363803 | − | 0.931476i | \(-0.381478\pi\) | ||||
0.363803 | + | 0.931476i | \(0.381478\pi\) | |||||||
\(18\) | 1.50000 | + | 2.59808i | 0.353553 | + | 0.612372i | ||||
\(19\) | 1.00000 | 0.229416 | 0.114708 | − | 0.993399i | \(-0.463407\pi\) | ||||
0.114708 | + | 0.993399i | \(0.463407\pi\) | |||||||
\(20\) | −0.500000 | + | 0.866025i | −0.111803 | + | 0.193649i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −2.50000 | − | 4.33013i | −0.533002 | − | 0.923186i | ||||
\(23\) | −1.50000 | − | 2.59808i | −0.312772 | − | 0.541736i | 0.666190 | − | 0.745782i | \(-0.267924\pi\) |
−0.978961 | + | 0.204046i | \(0.934591\pi\) | |||||||
\(24\) | −4.50000 | + | 2.59808i | −0.918559 | + | 0.530330i | ||||
\(25\) | 2.00000 | − | 3.46410i | 0.400000 | − | 0.692820i | ||||
\(26\) | −5.00000 | −0.980581 | ||||||||
\(27\) | − | 5.19615i | − | 1.00000i | ||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 0.500000 | − | 0.866025i | 0.0928477 | − | 0.160817i | −0.815861 | − | 0.578249i | \(-0.803736\pi\) |
0.908708 | + | 0.417432i | \(0.137070\pi\) | |||||||
\(30\) | −1.50000 | + | 0.866025i | −0.273861 | + | 0.158114i | ||||
\(31\) | 0 | 0 | 0.866025 | − | 0.500000i | \(-0.166667\pi\) | ||||
−0.866025 | + | 0.500000i | \(0.833333\pi\) | |||||||
\(32\) | −2.50000 | − | 4.33013i | −0.441942 | − | 0.765466i | ||||
\(33\) | 8.66025i | 1.50756i | ||||||||
\(34\) | −1.50000 | + | 2.59808i | −0.257248 | + | 0.445566i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 3.00000 | 0.500000 | ||||||||
\(37\) | 3.00000 | 0.493197 | 0.246598 | − | 0.969118i | \(-0.420687\pi\) | ||||
0.246598 | + | 0.969118i | \(0.420687\pi\) | |||||||
\(38\) | −0.500000 | + | 0.866025i | −0.0811107 | + | 0.140488i | ||||
\(39\) | 7.50000 | + | 4.33013i | 1.20096 | + | 0.693375i | ||||
\(40\) | −1.50000 | − | 2.59808i | −0.237171 | − | 0.410792i | ||||
\(41\) | 2.50000 | + | 4.33013i | 0.390434 | + | 0.676252i | 0.992507 | − | 0.122189i | \(-0.0389915\pi\) |
−0.602072 | + | 0.798441i | \(0.705658\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 0.500000 | − | 0.866025i | 0.0762493 | − | 0.132068i | −0.825380 | − | 0.564578i | \(-0.809039\pi\) |
0.901629 | + | 0.432511i | \(0.142372\pi\) | |||||||
\(44\) | −5.00000 | −0.753778 | ||||||||
\(45\) | 3.00000 | 0.447214 | ||||||||
\(46\) | 3.00000 | 0.442326 | ||||||||
\(47\) | 0 | 0 | −0.866025 | − | 0.500000i | \(-0.833333\pi\) | ||||
0.866025 | + | 0.500000i | \(0.166667\pi\) | |||||||
\(48\) | − | 1.73205i | − | 0.250000i | ||||||
\(49\) | 0 | 0 | ||||||||
\(50\) | 2.00000 | + | 3.46410i | 0.282843 | + | 0.489898i | ||||
\(51\) | 4.50000 | − | 2.59808i | 0.630126 | − | 0.363803i | ||||
\(52\) | −2.50000 | + | 4.33013i | −0.346688 | + | 0.600481i | ||||
\(53\) | −9.00000 | −1.23625 | −0.618123 | − | 0.786082i | \(-0.712106\pi\) | ||||
−0.618123 | + | 0.786082i | \(0.712106\pi\) | |||||||
\(54\) | 4.50000 | + | 2.59808i | 0.612372 | + | 0.353553i | ||||
\(55\) | −5.00000 | −0.674200 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 1.50000 | − | 0.866025i | 0.198680 | − | 0.114708i | ||||
\(58\) | 0.500000 | + | 0.866025i | 0.0656532 | + | 0.113715i | ||||
\(59\) | 0 | 0 | 0.866025 | − | 0.500000i | \(-0.166667\pi\) | ||||
−0.866025 | + | 0.500000i | \(0.833333\pi\) | |||||||
\(60\) | 1.73205i | 0.223607i | ||||||||
\(61\) | 7.00000 | − | 12.1244i | 0.896258 | − | 1.55236i | 0.0640184 | − | 0.997949i | \(-0.479608\pi\) |
0.832240 | − | 0.554416i | \(-0.187058\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 7.00000 | 0.875000 | ||||||||
\(65\) | −2.50000 | + | 4.33013i | −0.310087 | + | 0.537086i | ||||
\(66\) | −7.50000 | − | 4.33013i | −0.923186 | − | 0.533002i | ||||
\(67\) | −2.00000 | − | 3.46410i | −0.244339 | − | 0.423207i | 0.717607 | − | 0.696449i | \(-0.245238\pi\) |
−0.961946 | + | 0.273241i | \(0.911904\pi\) | |||||||
\(68\) | 1.50000 | + | 2.59808i | 0.181902 | + | 0.315063i | ||||
\(69\) | −4.50000 | − | 2.59808i | −0.541736 | − | 0.312772i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −12.0000 | −1.42414 | −0.712069 | − | 0.702109i | \(-0.752242\pi\) | ||||
−0.712069 | + | 0.702109i | \(0.752242\pi\) | |||||||
\(72\) | −4.50000 | + | 7.79423i | −0.530330 | + | 0.918559i | ||||
\(73\) | 3.00000 | 0.351123 | 0.175562 | − | 0.984468i | \(-0.443826\pi\) | ||||
0.175562 | + | 0.984468i | \(0.443826\pi\) | |||||||
\(74\) | −1.50000 | + | 2.59808i | −0.174371 | + | 0.302020i | ||||
\(75\) | − | 6.92820i | − | 0.800000i | ||||||
\(76\) | 0.500000 | + | 0.866025i | 0.0573539 | + | 0.0993399i | ||||
\(77\) | 0 | 0 | ||||||||
\(78\) | −7.50000 | + | 4.33013i | −0.849208 | + | 0.490290i | ||||
\(79\) | −4.00000 | + | 6.92820i | −0.450035 | + | 0.779484i | −0.998388 | − | 0.0567635i | \(-0.981922\pi\) |
0.548352 | + | 0.836247i | \(0.315255\pi\) | |||||||
\(80\) | 1.00000 | 0.111803 | ||||||||
\(81\) | −4.50000 | − | 7.79423i | −0.500000 | − | 0.866025i | ||||
\(82\) | −5.00000 | −0.552158 | ||||||||
\(83\) | 4.50000 | − | 7.79423i | 0.493939 | − | 0.855528i | −0.506036 | − | 0.862512i | \(-0.668890\pi\) |
0.999976 | + | 0.00698436i | \(0.00222321\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 1.50000 | + | 2.59808i | 0.162698 | + | 0.281801i | ||||
\(86\) | 0.500000 | + | 0.866025i | 0.0539164 | + | 0.0933859i | ||||
\(87\) | − | 1.73205i | − | 0.185695i | ||||||
\(88\) | 7.50000 | − | 12.9904i | 0.799503 | − | 1.38478i | ||||
\(89\) | −13.0000 | −1.37800 | −0.688999 | − | 0.724763i | \(-0.741949\pi\) | ||||
−0.688999 | + | 0.724763i | \(0.741949\pi\) | |||||||
\(90\) | −1.50000 | + | 2.59808i | −0.158114 | + | 0.273861i | ||||
\(91\) | 0 | 0 | ||||||||
\(92\) | 1.50000 | − | 2.59808i | 0.156386 | − | 0.270868i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 0.500000 | + | 0.866025i | 0.0512989 | + | 0.0888523i | ||||
\(96\) | −7.50000 | − | 4.33013i | −0.765466 | − | 0.441942i | ||||
\(97\) | 4.50000 | − | 7.79423i | 0.456906 | − | 0.791384i | −0.541890 | − | 0.840450i | \(-0.682291\pi\) |
0.998796 | + | 0.0490655i | \(0.0156243\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 7.50000 | + | 12.9904i | 0.753778 | + | 1.30558i | ||||
\(100\) | 4.00000 | 0.400000 | ||||||||
\(101\) | 8.50000 | − | 14.7224i | 0.845782 | − | 1.46494i | −0.0391591 | − | 0.999233i | \(-0.512468\pi\) |
0.884941 | − | 0.465704i | \(-0.154199\pi\) | |||||||
\(102\) | 5.19615i | 0.514496i | ||||||||
\(103\) | 0.500000 | + | 0.866025i | 0.0492665 | + | 0.0853320i | 0.889607 | − | 0.456727i | \(-0.150978\pi\) |
−0.840341 | + | 0.542059i | \(0.817645\pi\) | |||||||
\(104\) | −7.50000 | − | 12.9904i | −0.735436 | − | 1.27381i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 4.50000 | − | 7.79423i | 0.437079 | − | 0.757042i | ||||
\(107\) | 17.0000 | 1.64345 | 0.821726 | − | 0.569883i | \(-0.193011\pi\) | ||||
0.821726 | + | 0.569883i | \(0.193011\pi\) | |||||||
\(108\) | 4.50000 | − | 2.59808i | 0.433013 | − | 0.250000i | ||||
\(109\) | −9.00000 | −0.862044 | −0.431022 | − | 0.902342i | \(-0.641847\pi\) | ||||
−0.431022 | + | 0.902342i | \(0.641847\pi\) | |||||||
\(110\) | 2.50000 | − | 4.33013i | 0.238366 | − | 0.412861i | ||||
\(111\) | 4.50000 | − | 2.59808i | 0.427121 | − | 0.246598i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 0.500000 | + | 0.866025i | 0.0470360 | + | 0.0814688i | 0.888585 | − | 0.458712i | \(-0.151689\pi\) |
−0.841549 | + | 0.540181i | \(0.818356\pi\) | |||||||
\(114\) | 1.73205i | 0.162221i | ||||||||
\(115\) | 1.50000 | − | 2.59808i | 0.139876 | − | 0.242272i | ||||
\(116\) | 1.00000 | 0.0928477 | ||||||||
\(117\) | 15.0000 | 1.38675 | ||||||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 0 | 0 | ||||||||
\(120\) | −4.50000 | − | 2.59808i | −0.410792 | − | 0.237171i | ||||
\(121\) | −7.00000 | − | 12.1244i | −0.636364 | − | 1.10221i | ||||
\(122\) | 7.00000 | + | 12.1244i | 0.633750 | + | 1.09769i | ||||
\(123\) | 7.50000 | + | 4.33013i | 0.676252 | + | 0.390434i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 9.00000 | 0.804984 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −12.0000 | −1.06483 | −0.532414 | − | 0.846484i | \(-0.678715\pi\) | ||||
−0.532414 | + | 0.846484i | \(0.678715\pi\) | |||||||
\(128\) | 1.50000 | − | 2.59808i | 0.132583 | − | 0.229640i | ||||
\(129\) | − | 1.73205i | − | 0.152499i | ||||||
\(130\) | −2.50000 | − | 4.33013i | −0.219265 | − | 0.379777i | ||||
\(131\) | 0.500000 | + | 0.866025i | 0.0436852 | + | 0.0756650i | 0.887041 | − | 0.461690i | \(-0.152757\pi\) |
−0.843356 | + | 0.537355i | \(0.819423\pi\) | |||||||
\(132\) | −7.50000 | + | 4.33013i | −0.652791 | + | 0.376889i | ||||
\(133\) | 0 | 0 | ||||||||
\(134\) | 4.00000 | 0.345547 | ||||||||
\(135\) | 4.50000 | − | 2.59808i | 0.387298 | − | 0.223607i | ||||
\(136\) | −9.00000 | −0.771744 | ||||||||
\(137\) | 4.50000 | − | 7.79423i | 0.384461 | − | 0.665906i | −0.607233 | − | 0.794524i | \(-0.707721\pi\) |
0.991694 | + | 0.128618i | \(0.0410540\pi\) | |||||||
\(138\) | 4.50000 | − | 2.59808i | 0.383065 | − | 0.221163i | ||||
\(139\) | −4.50000 | − | 7.79423i | −0.381685 | − | 0.661098i | 0.609618 | − | 0.792695i | \(-0.291323\pi\) |
−0.991303 | + | 0.131597i | \(0.957989\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 6.00000 | − | 10.3923i | 0.503509 | − | 0.872103i | ||||
\(143\) | −25.0000 | −2.09061 | ||||||||
\(144\) | −1.50000 | − | 2.59808i | −0.125000 | − | 0.216506i | ||||
\(145\) | 1.00000 | 0.0830455 | ||||||||
\(146\) | −1.50000 | + | 2.59808i | −0.124141 | + | 0.215018i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 1.50000 | + | 2.59808i | 0.123299 | + | 0.213561i | ||||
\(149\) | −1.50000 | − | 2.59808i | −0.122885 | − | 0.212843i | 0.798019 | − | 0.602632i | \(-0.205881\pi\) |
−0.920904 | + | 0.389789i | \(0.872548\pi\) | |||||||
\(150\) | 6.00000 | + | 3.46410i | 0.489898 | + | 0.282843i | ||||
\(151\) | −2.50000 | + | 4.33013i | −0.203447 | + | 0.352381i | −0.949637 | − | 0.313353i | \(-0.898548\pi\) |
0.746190 | + | 0.665733i | \(0.231881\pi\) | |||||||
\(152\) | −3.00000 | −0.243332 | ||||||||
\(153\) | 4.50000 | − | 7.79423i | 0.363803 | − | 0.630126i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 0 | 0 | ||||||||
\(156\) | 8.66025i | 0.693375i | ||||||||
\(157\) | 7.00000 | + | 12.1244i | 0.558661 | + | 0.967629i | 0.997609 | + | 0.0691164i | \(0.0220180\pi\) |
−0.438948 | + | 0.898513i | \(0.644649\pi\) | |||||||
\(158\) | −4.00000 | − | 6.92820i | −0.318223 | − | 0.551178i | ||||
\(159\) | −13.5000 | + | 7.79423i | −1.07062 | + | 0.618123i | ||||
\(160\) | 2.50000 | − | 4.33013i | 0.197642 | − | 0.342327i | ||||
\(161\) | 0 | 0 | ||||||||
\(162\) | 9.00000 | 0.707107 | ||||||||
\(163\) | −11.0000 | −0.861586 | −0.430793 | − | 0.902451i | \(-0.641766\pi\) | ||||
−0.430793 | + | 0.902451i | \(0.641766\pi\) | |||||||
\(164\) | −2.50000 | + | 4.33013i | −0.195217 | + | 0.338126i | ||||
\(165\) | −7.50000 | + | 4.33013i | −0.583874 | + | 0.337100i | ||||
\(166\) | 4.50000 | + | 7.79423i | 0.349268 | + | 0.604949i | ||||
\(167\) | 9.50000 | + | 16.4545i | 0.735132 | + | 1.27329i | 0.954665 | + | 0.297681i | \(0.0962132\pi\) |
−0.219533 | + | 0.975605i | \(0.570453\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −6.00000 | + | 10.3923i | −0.461538 | + | 0.799408i | ||||
\(170\) | −3.00000 | −0.230089 | ||||||||
\(171\) | 1.50000 | − | 2.59808i | 0.114708 | − | 0.198680i | ||||
\(172\) | 1.00000 | 0.0762493 | ||||||||
\(173\) | 7.00000 | − | 12.1244i | 0.532200 | − | 0.921798i | −0.467093 | − | 0.884208i | \(-0.654699\pi\) |
0.999293 | − | 0.0375896i | \(-0.0119679\pi\) | |||||||
\(174\) | 1.50000 | + | 0.866025i | 0.113715 | + | 0.0656532i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 2.50000 | + | 4.33013i | 0.188445 | + | 0.326396i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 6.50000 | − | 11.2583i | 0.487196 | − | 0.843848i | ||||
\(179\) | 19.0000 | 1.42013 | 0.710063 | − | 0.704138i | \(-0.248666\pi\) | ||||
0.710063 | + | 0.704138i | \(0.248666\pi\) | |||||||
\(180\) | 1.50000 | + | 2.59808i | 0.111803 | + | 0.193649i | ||||
\(181\) | −14.0000 | −1.04061 | −0.520306 | − | 0.853980i | \(-0.674182\pi\) | ||||
−0.520306 | + | 0.853980i | \(0.674182\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | − | 24.2487i | − | 1.79252i | ||||||
\(184\) | 4.50000 | + | 7.79423i | 0.331744 | + | 0.574598i | ||||
\(185\) | 1.50000 | + | 2.59808i | 0.110282 | + | 0.191014i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −7.50000 | + | 12.9904i | −0.548454 | + | 0.949951i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −1.00000 | −0.0725476 | ||||||||
\(191\) | −4.00000 | + | 6.92820i | −0.289430 | + | 0.501307i | −0.973674 | − | 0.227946i | \(-0.926799\pi\) |
0.684244 | + | 0.729253i | \(0.260132\pi\) | |||||||
\(192\) | 10.5000 | − | 6.06218i | 0.757772 | − | 0.437500i | ||||
\(193\) | 5.00000 | + | 8.66025i | 0.359908 | + | 0.623379i | 0.987945 | − | 0.154805i | \(-0.0494748\pi\) |
−0.628037 | + | 0.778183i | \(0.716141\pi\) | |||||||
\(194\) | 4.50000 | + | 7.79423i | 0.323081 | + | 0.559593i | ||||
\(195\) | 8.66025i | 0.620174i | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 2.00000 | 0.142494 | 0.0712470 | − | 0.997459i | \(-0.477302\pi\) | ||||
0.0712470 | + | 0.997459i | \(0.477302\pi\) | |||||||
\(198\) | −15.0000 | −1.06600 | ||||||||
\(199\) | 3.00000 | 0.212664 | 0.106332 | − | 0.994331i | \(-0.466089\pi\) | ||||
0.106332 | + | 0.994331i | \(0.466089\pi\) | |||||||
\(200\) | −6.00000 | + | 10.3923i | −0.424264 | + | 0.734847i | ||||
\(201\) | −6.00000 | − | 3.46410i | −0.423207 | − | 0.244339i | ||||
\(202\) | 8.50000 | + | 14.7224i | 0.598058 | + | 1.03587i | ||||
\(203\) | 0 | 0 | ||||||||
\(204\) | 4.50000 | + | 2.59808i | 0.315063 | + | 0.181902i | ||||
\(205\) | −2.50000 | + | 4.33013i | −0.174608 | + | 0.302429i | ||||
\(206\) | −1.00000 | −0.0696733 | ||||||||
\(207\) | −9.00000 | −0.625543 | ||||||||
\(208\) | 5.00000 | 0.346688 | ||||||||
\(209\) | −2.50000 | + | 4.33013i | −0.172929 | + | 0.299521i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −6.50000 | − | 11.2583i | −0.447478 | − | 0.775055i | 0.550743 | − | 0.834675i | \(-0.314345\pi\) |
−0.998221 | + | 0.0596196i | \(0.981011\pi\) | |||||||
\(212\) | −4.50000 | − | 7.79423i | −0.309061 | − | 0.535310i | ||||
\(213\) | −18.0000 | + | 10.3923i | −1.23334 | + | 0.712069i | ||||
\(214\) | −8.50000 | + | 14.7224i | −0.581048 | + | 1.00640i | ||||
\(215\) | 1.00000 | 0.0681994 | ||||||||
\(216\) | 15.5885i | 1.06066i | ||||||||
\(217\) | 0 | 0 | ||||||||
\(218\) | 4.50000 | − | 7.79423i | 0.304778 | − | 0.527892i | ||||
\(219\) | 4.50000 | − | 2.59808i | 0.304082 | − | 0.175562i | ||||
\(220\) | −2.50000 | − | 4.33013i | −0.168550 | − | 0.291937i | ||||
\(221\) | 7.50000 | + | 12.9904i | 0.504505 | + | 0.873828i | ||||
\(222\) | 5.19615i | 0.348743i | ||||||||
\(223\) | −9.50000 | + | 16.4545i | −0.636167 | + | 1.10187i | 0.350100 | + | 0.936713i | \(0.386148\pi\) |
−0.986267 | + | 0.165161i | \(0.947186\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −6.00000 | − | 10.3923i | −0.400000 | − | 0.692820i | ||||
\(226\) | −1.00000 | −0.0665190 | ||||||||
\(227\) | 1.50000 | − | 2.59808i | 0.0995585 | − | 0.172440i | −0.811943 | − | 0.583736i | \(-0.801590\pi\) |
0.911502 | + | 0.411296i | \(0.134924\pi\) | |||||||
\(228\) | 1.50000 | + | 0.866025i | 0.0993399 | + | 0.0573539i | ||||
\(229\) | 0.500000 | + | 0.866025i | 0.0330409 | + | 0.0572286i | 0.882073 | − | 0.471113i | \(-0.156147\pi\) |
−0.849032 | + | 0.528341i | \(0.822814\pi\) | |||||||
\(230\) | 1.50000 | + | 2.59808i | 0.0989071 | + | 0.171312i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −1.50000 | + | 2.59808i | −0.0984798 | + | 0.170572i | ||||
\(233\) | 3.00000 | 0.196537 | 0.0982683 | − | 0.995160i | \(-0.468670\pi\) | ||||
0.0982683 | + | 0.995160i | \(0.468670\pi\) | |||||||
\(234\) | −7.50000 | + | 12.9904i | −0.490290 | + | 0.849208i | ||||
\(235\) | 0 | 0 | ||||||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 13.8564i | 0.900070i | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 7.50000 | + | 12.9904i | 0.485135 | + | 0.840278i | 0.999854 | − | 0.0170808i | \(-0.00543724\pi\) |
−0.514719 | + | 0.857359i | \(0.672104\pi\) | |||||||
\(240\) | 1.50000 | − | 0.866025i | 0.0968246 | − | 0.0559017i | ||||
\(241\) | −5.50000 | + | 9.52628i | −0.354286 | + | 0.613642i | −0.986996 | − | 0.160748i | \(-0.948609\pi\) |
0.632709 | + | 0.774389i | \(0.281943\pi\) | |||||||
\(242\) | 14.0000 | 0.899954 | ||||||||
\(243\) | −13.5000 | − | 7.79423i | −0.866025 | − | 0.500000i | ||||
\(244\) | 14.0000 | 0.896258 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | −7.50000 | + | 4.33013i | −0.478183 | + | 0.276079i | ||||
\(247\) | 2.50000 | + | 4.33013i | 0.159071 | + | 0.275519i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | − | 15.5885i | − | 0.987878i | ||||||
\(250\) | −4.50000 | + | 7.79423i | −0.284605 | + | 0.492950i | ||||
\(251\) | −28.0000 | −1.76734 | −0.883672 | − | 0.468106i | \(-0.844936\pi\) | ||||
−0.883672 | + | 0.468106i | \(0.844936\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 15.0000 | 0.943042 | ||||||||
\(254\) | 6.00000 | − | 10.3923i | 0.376473 | − | 0.652071i | ||||
\(255\) | 4.50000 | + | 2.59808i | 0.281801 | + | 0.162698i | ||||
\(256\) | 8.50000 | + | 14.7224i | 0.531250 | + | 0.920152i | ||||
\(257\) | 14.5000 | + | 25.1147i | 0.904485 | + | 1.56661i | 0.821607 | + | 0.570055i | \(0.193078\pi\) |
0.0828783 | + | 0.996560i | \(0.473589\pi\) | |||||||
\(258\) | 1.50000 | + | 0.866025i | 0.0933859 | + | 0.0539164i | ||||
\(259\) | 0 | 0 | ||||||||
\(260\) | −5.00000 | −0.310087 | ||||||||
\(261\) | −1.50000 | − | 2.59808i | −0.0928477 | − | 0.160817i | ||||
\(262\) | −1.00000 | −0.0617802 | ||||||||
\(263\) | −2.50000 | + | 4.33013i | −0.154157 | + | 0.267007i | −0.932752 | − | 0.360520i | \(-0.882599\pi\) |
0.778595 | + | 0.627527i | \(0.215933\pi\) | |||||||
\(264\) | − | 25.9808i | − | 1.59901i | ||||||
\(265\) | −4.50000 | − | 7.79423i | −0.276433 | − | 0.478796i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −19.5000 | + | 11.2583i | −1.19338 | + | 0.688999i | ||||
\(268\) | 2.00000 | − | 3.46410i | 0.122169 | − | 0.211604i | ||||
\(269\) | 3.00000 | 0.182913 | 0.0914566 | − | 0.995809i | \(-0.470848\pi\) | ||||
0.0914566 | + | 0.995809i | \(0.470848\pi\) | |||||||
\(270\) | 5.19615i | 0.316228i | ||||||||
\(271\) | 1.00000 | 0.0607457 | 0.0303728 | − | 0.999539i | \(-0.490331\pi\) | ||||
0.0303728 | + | 0.999539i | \(0.490331\pi\) | |||||||
\(272\) | 1.50000 | − | 2.59808i | 0.0909509 | − | 0.157532i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 4.50000 | + | 7.79423i | 0.271855 | + | 0.470867i | ||||
\(275\) | 10.0000 | + | 17.3205i | 0.603023 | + | 1.04447i | ||||
\(276\) | − | 5.19615i | − | 0.312772i | ||||||
\(277\) | −9.50000 | + | 16.4545i | −0.570800 | + | 0.988654i | 0.425684 | + | 0.904872i | \(0.360033\pi\) |
−0.996484 | + | 0.0837823i | \(0.973300\pi\) | |||||||
\(278\) | 9.00000 | 0.539784 | ||||||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 14.5000 | − | 25.1147i | 0.864997 | − | 1.49822i | −0.00205220 | − | 0.999998i | \(-0.500653\pi\) |
0.867050 | − | 0.498222i | \(-0.166013\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −14.0000 | − | 24.2487i | −0.832214 | − | 1.44144i | −0.896279 | − | 0.443491i | \(-0.853740\pi\) |
0.0640654 | − | 0.997946i | \(-0.479593\pi\) | |||||||
\(284\) | −6.00000 | − | 10.3923i | −0.356034 | − | 0.616670i | ||||
\(285\) | 1.50000 | + | 0.866025i | 0.0888523 | + | 0.0512989i | ||||
\(286\) | 12.5000 | − | 21.6506i | 0.739140 | − | 1.28023i | ||||
\(287\) | 0 | 0 | ||||||||
\(288\) | −15.0000 | −0.883883 | ||||||||
\(289\) | −8.00000 | −0.470588 | ||||||||
\(290\) | −0.500000 | + | 0.866025i | −0.0293610 | + | 0.0508548i | ||||
\(291\) | − | 15.5885i | − | 0.913812i | ||||||
\(292\) | 1.50000 | + | 2.59808i | 0.0877809 | + | 0.152041i | ||||
\(293\) | 2.50000 | + | 4.33013i | 0.146052 | + | 0.252969i | 0.929765 | − | 0.368154i | \(-0.120010\pi\) |
−0.783713 | + | 0.621123i | \(0.786677\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 0 | 0 | ||||||||
\(296\) | −9.00000 | −0.523114 | ||||||||
\(297\) | 22.5000 | + | 12.9904i | 1.30558 | + | 0.753778i | ||||
\(298\) | 3.00000 | 0.173785 | ||||||||
\(299\) | 7.50000 | − | 12.9904i | 0.433736 | − | 0.751253i | ||||
\(300\) | 6.00000 | − | 3.46410i | 0.346410 | − | 0.200000i | ||||
\(301\) | 0 | 0 | ||||||||
\(302\) | −2.50000 | − | 4.33013i | −0.143859 | − | 0.249171i | ||||
\(303\) | − | 29.4449i | − | 1.69156i | ||||||
\(304\) | 0.500000 | − | 0.866025i | 0.0286770 | − | 0.0496700i | ||||
\(305\) | 14.0000 | 0.801638 | ||||||||
\(306\) | 4.50000 | + | 7.79423i | 0.257248 | + | 0.445566i | ||||
\(307\) | 28.0000 | 1.59804 | 0.799022 | − | 0.601302i | \(-0.205351\pi\) | ||||
0.799022 | + | 0.601302i | \(0.205351\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 1.50000 | + | 0.866025i | 0.0853320 | + | 0.0492665i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 0 | 0 | 0.866025 | − | 0.500000i | \(-0.166667\pi\) | ||||
−0.866025 | + | 0.500000i | \(0.833333\pi\) | |||||||
\(312\) | −22.5000 | − | 12.9904i | −1.27381 | − | 0.735436i | ||||
\(313\) | −7.00000 | + | 12.1244i | −0.395663 | + | 0.685309i | −0.993186 | − | 0.116543i | \(-0.962819\pi\) |
0.597522 | + | 0.801852i | \(0.296152\pi\) | |||||||
\(314\) | −14.0000 | −0.790066 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −8.00000 | −0.450035 | ||||||||
\(317\) | 3.00000 | − | 5.19615i | 0.168497 | − | 0.291845i | −0.769395 | − | 0.638774i | \(-0.779442\pi\) |
0.937892 | + | 0.346929i | \(0.112775\pi\) | |||||||
\(318\) | − | 15.5885i | − | 0.874157i | ||||||
\(319\) | 2.50000 | + | 4.33013i | 0.139973 | + | 0.242441i | ||||
\(320\) | 3.50000 | + | 6.06218i | 0.195656 | + | 0.338886i | ||||
\(321\) | 25.5000 | − | 14.7224i | 1.42327 | − | 0.821726i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 3.00000 | 0.166924 | ||||||||
\(324\) | 4.50000 | − | 7.79423i | 0.250000 | − | 0.433013i | ||||
\(325\) | 20.0000 | 1.10940 | ||||||||
\(326\) | 5.50000 | − | 9.52628i | 0.304617 | − | 0.527612i | ||||
\(327\) | −13.5000 | + | 7.79423i | −0.746552 | + | 0.431022i | ||||
\(328\) | −7.50000 | − | 12.9904i | −0.414118 | − | 0.717274i | ||||
\(329\) | 0 | 0 | ||||||||
\(330\) | − | 8.66025i | − | 0.476731i | ||||||
\(331\) | −4.00000 | + | 6.92820i | −0.219860 | + | 0.380808i | −0.954765 | − | 0.297361i | \(-0.903893\pi\) |
0.734905 | + | 0.678170i | \(0.237227\pi\) | |||||||
\(332\) | 9.00000 | 0.493939 | ||||||||
\(333\) | 4.50000 | − | 7.79423i | 0.246598 | − | 0.427121i | ||||
\(334\) | −19.0000 | −1.03963 | ||||||||
\(335\) | 2.00000 | − | 3.46410i | 0.109272 | − | 0.189264i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 14.5000 | + | 25.1147i | 0.789865 | + | 1.36809i | 0.926049 | + | 0.377403i | \(0.123183\pi\) |
−0.136184 | + | 0.990684i | \(0.543484\pi\) | |||||||
\(338\) | −6.00000 | − | 10.3923i | −0.326357 | − | 0.565267i | ||||
\(339\) | 1.50000 | + | 0.866025i | 0.0814688 | + | 0.0470360i | ||||
\(340\) | −1.50000 | + | 2.59808i | −0.0813489 | + | 0.140900i | ||||
\(341\) | 0 | 0 | ||||||||
\(342\) | 1.50000 | + | 2.59808i | 0.0811107 | + | 0.140488i | ||||
\(343\) | 0 | 0 | ||||||||
\(344\) | −1.50000 | + | 2.59808i | −0.0808746 | + | 0.140079i | ||||
\(345\) | − | 5.19615i | − | 0.279751i | ||||||
\(346\) | 7.00000 | + | 12.1244i | 0.376322 | + | 0.651809i | ||||
\(347\) | −2.00000 | − | 3.46410i | −0.107366 | − | 0.185963i | 0.807337 | − | 0.590091i | \(-0.200908\pi\) |
−0.914702 | + | 0.404128i | \(0.867575\pi\) | |||||||
\(348\) | 1.50000 | − | 0.866025i | 0.0804084 | − | 0.0464238i | ||||
\(349\) | −9.50000 | + | 16.4545i | −0.508523 | + | 0.880788i | 0.491428 | + | 0.870918i | \(0.336475\pi\) |
−0.999951 | + | 0.00987003i | \(0.996858\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 22.5000 | − | 12.9904i | 1.20096 | − | 0.693375i | ||||
\(352\) | 25.0000 | 1.33250 | ||||||||
\(353\) | −5.50000 | + | 9.52628i | −0.292735 | + | 0.507033i | −0.974456 | − | 0.224580i | \(-0.927899\pi\) |
0.681720 | + | 0.731613i | \(0.261232\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −6.00000 | − | 10.3923i | −0.318447 | − | 0.551566i | ||||
\(356\) | −6.50000 | − | 11.2583i | −0.344499 | − | 0.596690i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −9.50000 | + | 16.4545i | −0.502091 | + | 0.869646i | ||||
\(359\) | −11.0000 | −0.580558 | −0.290279 | − | 0.956942i | \(-0.593748\pi\) | ||||
−0.290279 | + | 0.956942i | \(0.593748\pi\) | |||||||
\(360\) | −9.00000 | −0.474342 | ||||||||
\(361\) | −18.0000 | −0.947368 | ||||||||
\(362\) | 7.00000 | − | 12.1244i | 0.367912 | − | 0.637242i | ||||
\(363\) | −21.0000 | − | 12.1244i | −1.10221 | − | 0.636364i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 1.50000 | + | 2.59808i | 0.0785136 | + | 0.135990i | ||||
\(366\) | 21.0000 | + | 12.1244i | 1.09769 | + | 0.633750i | ||||
\(367\) | 1.50000 | − | 2.59808i | 0.0782994 | − | 0.135618i | −0.824217 | − | 0.566274i | \(-0.808384\pi\) |
0.902516 | + | 0.430656i | \(0.141718\pi\) | |||||||
\(368\) | −3.00000 | −0.156386 | ||||||||
\(369\) | 15.0000 | 0.780869 | ||||||||
\(370\) | −3.00000 | −0.155963 | ||||||||
\(371\) | 0 | 0 | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 12.5000 | + | 21.6506i | 0.647225 | + | 1.12103i | 0.983783 | + | 0.179364i | \(0.0574041\pi\) |
−0.336557 | + | 0.941663i | \(0.609263\pi\) | |||||||
\(374\) | −7.50000 | − | 12.9904i | −0.387816 | − | 0.671717i | ||||
\(375\) | 13.5000 | − | 7.79423i | 0.697137 | − | 0.402492i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 5.00000 | 0.257513 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −12.0000 | −0.616399 | −0.308199 | − | 0.951322i | \(-0.599726\pi\) | ||||
−0.308199 | + | 0.951322i | \(0.599726\pi\) | |||||||
\(380\) | −0.500000 | + | 0.866025i | −0.0256495 | + | 0.0444262i | ||||
\(381\) | −18.0000 | + | 10.3923i | −0.922168 | + | 0.532414i | ||||
\(382\) | −4.00000 | − | 6.92820i | −0.204658 | − | 0.354478i | ||||
\(383\) | −13.5000 | − | 23.3827i | −0.689818 | − | 1.19480i | −0.971897 | − | 0.235408i | \(-0.924357\pi\) |
0.282079 | − | 0.959391i | \(-0.408976\pi\) | |||||||
\(384\) | − | 5.19615i | − | 0.265165i | ||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | −10.0000 | −0.508987 | ||||||||
\(387\) | −1.50000 | − | 2.59808i | −0.0762493 | − | 0.132068i | ||||
\(388\) | 9.00000 | 0.456906 | ||||||||
\(389\) | 4.50000 | − | 7.79423i | 0.228159 | − | 0.395183i | −0.729103 | − | 0.684403i | \(-0.760063\pi\) |
0.957263 | + | 0.289220i | \(0.0933960\pi\) | |||||||
\(390\) | −7.50000 | − | 4.33013i | −0.379777 | − | 0.219265i | ||||
\(391\) | −4.50000 | − | 7.79423i | −0.227575 | − | 0.394171i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 1.50000 | + | 0.866025i | 0.0756650 | + | 0.0436852i | ||||
\(394\) | −1.00000 | + | 1.73205i | −0.0503793 | + | 0.0872595i | ||||
\(395\) | −8.00000 | −0.402524 | ||||||||
\(396\) | −7.50000 | + | 12.9904i | −0.376889 | + | 0.652791i | ||||
\(397\) | 15.0000 | 0.752828 | 0.376414 | − | 0.926451i | \(-0.377157\pi\) | ||||
0.376414 | + | 0.926451i | \(0.377157\pi\) | |||||||
\(398\) | −1.50000 | + | 2.59808i | −0.0751882 | + | 0.130230i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −2.00000 | − | 3.46410i | −0.100000 | − | 0.173205i | ||||
\(401\) | −1.50000 | − | 2.59808i | −0.0749064 | − | 0.129742i | 0.826139 | − | 0.563466i | \(-0.190532\pi\) |
−0.901046 | + | 0.433724i | \(0.857199\pi\) | |||||||
\(402\) | 6.00000 | − | 3.46410i | 0.299253 | − | 0.172774i | ||||
\(403\) | 0 | 0 | ||||||||
\(404\) | 17.0000 | 0.845782 | ||||||||
\(405\) | 4.50000 | − | 7.79423i | 0.223607 | − | 0.387298i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −7.50000 | + | 12.9904i | −0.371761 | + | 0.643909i | ||||
\(408\) | −13.5000 | + | 7.79423i | −0.668350 | + | 0.385872i | ||||
\(409\) | −7.00000 | − | 12.1244i | −0.346128 | − | 0.599511i | 0.639430 | − | 0.768849i | \(-0.279170\pi\) |
−0.985558 | + | 0.169338i | \(0.945837\pi\) | |||||||
\(410\) | −2.50000 | − | 4.33013i | −0.123466 | − | 0.213850i | ||||
\(411\) | − | 15.5885i | − | 0.768922i | ||||||
\(412\) | −0.500000 | + | 0.866025i | −0.0246332 | + | 0.0426660i | ||||
\(413\) | 0 | 0 | ||||||||
\(414\) | 4.50000 | − | 7.79423i | 0.221163 | − | 0.383065i | ||||
\(415\) | 9.00000 | 0.441793 | ||||||||
\(416\) | 12.5000 | − | 21.6506i | 0.612863 | − | 1.06151i | ||||
\(417\) | −13.5000 | − | 7.79423i | −0.661098 | − | 0.381685i | ||||
\(418\) | −2.50000 | − | 4.33013i | −0.122279 | − | 0.211793i | ||||
\(419\) | −4.50000 | − | 7.79423i | −0.219839 | − | 0.380773i | 0.734919 | − | 0.678155i | \(-0.237220\pi\) |
−0.954759 | + | 0.297382i | \(0.903887\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 0.500000 | − | 0.866025i | 0.0243685 | − | 0.0422075i | −0.853584 | − | 0.520955i | \(-0.825576\pi\) |
0.877952 | + | 0.478748i | \(0.158909\pi\) | |||||||
\(422\) | 13.0000 | 0.632830 | ||||||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 27.0000 | 1.31124 | ||||||||
\(425\) | 6.00000 | − | 10.3923i | 0.291043 | − | 0.504101i | ||||
\(426\) | − | 20.7846i | − | 1.00702i | ||||||
\(427\) | 0 | 0 | ||||||||
\(428\) | 8.50000 | + | 14.7224i | 0.410863 | + | 0.711636i | ||||
\(429\) | −37.5000 | + | 21.6506i | −1.81052 | + | 1.04530i | ||||
\(430\) | −0.500000 | + | 0.866025i | −0.0241121 | + | 0.0417635i | ||||
\(431\) | −9.00000 | −0.433515 | −0.216757 | − | 0.976226i | \(-0.569548\pi\) | ||||
−0.216757 | + | 0.976226i | \(0.569548\pi\) | |||||||
\(432\) | −4.50000 | − | 2.59808i | −0.216506 | − | 0.125000i | ||||
\(433\) | −14.0000 | −0.672797 | −0.336399 | − | 0.941720i | \(-0.609209\pi\) | ||||
−0.336399 | + | 0.941720i | \(0.609209\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 1.50000 | − | 0.866025i | 0.0719195 | − | 0.0415227i | ||||
\(436\) | −4.50000 | − | 7.79423i | −0.215511 | − | 0.373276i | ||||
\(437\) | −1.50000 | − | 2.59808i | −0.0717547 | − | 0.124283i | ||||
\(438\) | 5.19615i | 0.248282i | ||||||||
\(439\) | 0 | 0 | −0.866025 | − | 0.500000i | \(-0.833333\pi\) | ||||
0.866025 | + | 0.500000i | \(0.166667\pi\) | |||||||
\(440\) | 15.0000 | 0.715097 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −15.0000 | −0.713477 | ||||||||
\(443\) | −18.0000 | + | 31.1769i | −0.855206 | + | 1.48126i | 0.0212481 | + | 0.999774i | \(0.493236\pi\) |
−0.876454 | + | 0.481486i | \(0.840097\pi\) | |||||||
\(444\) | 4.50000 | + | 2.59808i | 0.213561 | + | 0.123299i | ||||
\(445\) | −6.50000 | − | 11.2583i | −0.308130 | − | 0.533696i | ||||
\(446\) | −9.50000 | − | 16.4545i | −0.449838 | − | 0.779142i | ||||
\(447\) | −4.50000 | − | 2.59808i | −0.212843 | − | 0.122885i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 30.0000 | 1.41579 | 0.707894 | − | 0.706319i | \(-0.249646\pi\) | ||||
0.707894 | + | 0.706319i | \(0.249646\pi\) | |||||||
\(450\) | 12.0000 | 0.565685 | ||||||||
\(451\) | −25.0000 | −1.17720 | ||||||||
\(452\) | −0.500000 | + | 0.866025i | −0.0235180 | + | 0.0407344i | ||||
\(453\) | 8.66025i | 0.406894i | ||||||||
\(454\) | 1.50000 | + | 2.59808i | 0.0703985 | + | 0.121934i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −4.50000 | + | 2.59808i | −0.210732 | + | 0.121666i | ||||
\(457\) | −11.0000 | + | 19.0526i | −0.514558 | + | 0.891241i | 0.485299 | + | 0.874348i | \(0.338711\pi\) |
−0.999857 | + | 0.0168929i | \(0.994623\pi\) | |||||||
\(458\) | −1.00000 | −0.0467269 | ||||||||
\(459\) | − | 15.5885i | − | 0.727607i | ||||||
\(460\) | 3.00000 | 0.139876 | ||||||||
\(461\) | −9.50000 | + | 16.4545i | −0.442459 | + | 0.766362i | −0.997871 | − | 0.0652135i | \(-0.979227\pi\) |
0.555412 | + | 0.831575i | \(0.312560\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −6.50000 | − | 11.2583i | −0.302081 | − | 0.523219i | 0.674526 | − | 0.738251i | \(-0.264348\pi\) |
−0.976607 | + | 0.215032i | \(0.931015\pi\) | |||||||
\(464\) | −0.500000 | − | 0.866025i | −0.0232119 | − | 0.0402042i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −1.50000 | + | 2.59808i | −0.0694862 | + | 0.120354i | ||||
\(467\) | −27.0000 | −1.24941 | −0.624705 | − | 0.780860i | \(-0.714781\pi\) | ||||
−0.624705 | + | 0.780860i | \(0.714781\pi\) | |||||||
\(468\) | 7.50000 | + | 12.9904i | 0.346688 | + | 0.600481i | ||||
\(469\) | 0 | 0 | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 21.0000 | + | 12.1244i | 0.967629 | + | 0.558661i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 2.50000 | + | 4.33013i | 0.114950 | + | 0.199099i | ||||
\(474\) | −12.0000 | − | 6.92820i | −0.551178 | − | 0.318223i | ||||
\(475\) | 2.00000 | − | 3.46410i | 0.0917663 | − | 0.158944i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −13.5000 | + | 23.3827i | −0.618123 | + | 1.07062i | ||||
\(478\) | −15.0000 | −0.686084 | ||||||||
\(479\) | −12.5000 | + | 21.6506i | −0.571140 | + | 0.989243i | 0.425310 | + | 0.905048i | \(0.360165\pi\) |
−0.996449 | + | 0.0841949i | \(0.973168\pi\) | |||||||
\(480\) | − | 8.66025i | − | 0.395285i | ||||||
\(481\) | 7.50000 | + | 12.9904i | 0.341971 | + | 0.592310i | ||||
\(482\) | −5.50000 | − | 9.52628i | −0.250518 | − | 0.433910i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 7.00000 | − | 12.1244i | 0.318182 | − | 0.551107i | ||||
\(485\) | 9.00000 | 0.408669 | ||||||||
\(486\) | 13.5000 | − | 7.79423i | 0.612372 | − | 0.353553i | ||||
\(487\) | 19.0000 | 0.860972 | 0.430486 | − | 0.902597i | \(-0.358342\pi\) | ||||
0.430486 | + | 0.902597i | \(0.358342\pi\) | |||||||
\(488\) | −21.0000 | + | 36.3731i | −0.950625 | + | 1.64653i | ||||
\(489\) | −16.5000 | + | 9.52628i | −0.746156 | + | 0.430793i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −6.50000 | − | 11.2583i | −0.293341 | − | 0.508081i | 0.681257 | − | 0.732045i | \(-0.261434\pi\) |
−0.974598 | + | 0.223963i | \(0.928100\pi\) | |||||||
\(492\) | 8.66025i | 0.390434i | ||||||||
\(493\) | 1.50000 | − | 2.59808i | 0.0675566 | − | 0.117011i | ||||
\(494\) | −5.00000 | −0.224961 | ||||||||
\(495\) | −7.50000 | + | 12.9904i | −0.337100 | + | 0.583874i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | 13.5000 | + | 7.79423i | 0.604949 | + | 0.349268i | ||||
\(499\) | −15.5000 | − | 26.8468i | −0.693875 | − | 1.20183i | −0.970558 | − | 0.240866i | \(-0.922569\pi\) |
0.276683 | − | 0.960961i | \(-0.410765\pi\) | |||||||
\(500\) | 4.50000 | + | 7.79423i | 0.201246 | + | 0.348569i | ||||
\(501\) | 28.5000 | + | 16.4545i | 1.27329 | + | 0.735132i | ||||
\(502\) | 14.0000 | − | 24.2487i | 0.624851 | − | 1.08227i | ||||
\(503\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 17.0000 | 0.756490 | ||||||||
\(506\) | −7.50000 | + | 12.9904i | −0.333416 | + | 0.577493i | ||||
\(507\) | 20.7846i | 0.923077i | ||||||||
\(508\) | −6.00000 | − | 10.3923i | −0.266207 | − | 0.461084i | ||||
\(509\) | 14.5000 | + | 25.1147i | 0.642701 | + | 1.11319i | 0.984827 | + | 0.173537i | \(0.0555197\pi\) |
−0.342126 | + | 0.939654i | \(0.611147\pi\) | |||||||
\(510\) | −4.50000 | + | 2.59808i | −0.199263 | + | 0.115045i | ||||
\(511\) | 0 | 0 | ||||||||
\(512\) | −11.0000 | −0.486136 | ||||||||
\(513\) | − | 5.19615i | − | 0.229416i | ||||||
\(514\) | −29.0000 | −1.27914 | ||||||||
\(515\) | −0.500000 | + | 0.866025i | −0.0220326 | + | 0.0381616i | ||||
\(516\) | 1.50000 | − | 0.866025i | 0.0660338 | − | 0.0381246i | ||||
\(517\) | 0 | 0 | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | − | 24.2487i | − | 1.06440i | ||||||
\(520\) | 7.50000 | − | 12.9904i | 0.328897 | − | 0.569666i | ||||
\(521\) | 3.00000 | 0.131432 | 0.0657162 | − | 0.997838i | \(-0.479067\pi\) | ||||
0.0657162 | + | 0.997838i | \(0.479067\pi\) | |||||||
\(522\) | 3.00000 | 0.131306 | ||||||||
\(523\) | 1.00000 | 0.0437269 | 0.0218635 | − | 0.999761i | \(-0.493040\pi\) | ||||
0.0218635 | + | 0.999761i | \(0.493040\pi\) | |||||||
\(524\) | −0.500000 | + | 0.866025i | −0.0218426 | + | 0.0378325i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −2.50000 | − | 4.33013i | −0.109005 | − | 0.188803i | ||||
\(527\) | 0 | 0 | ||||||||
\(528\) | 7.50000 | + | 4.33013i | 0.326396 | + | 0.188445i | ||||
\(529\) | 7.00000 | − | 12.1244i | 0.304348 | − | 0.527146i | ||||
\(530\) | 9.00000 | 0.390935 | ||||||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −12.5000 | + | 21.6506i | −0.541435 | + | 0.937793i | ||||
\(534\) | − | 22.5167i | − | 0.974391i | ||||||
\(535\) | 8.50000 | + | 14.7224i | 0.367487 | + | 0.636506i | ||||
\(536\) | 6.00000 | + | 10.3923i | 0.259161 | + | 0.448879i | ||||
\(537\) | 28.5000 | − | 16.4545i | 1.22987 | − | 0.710063i | ||||
\(538\) | −1.50000 | + | 2.59808i | −0.0646696 | + | 0.112011i | ||||
\(539\) | 0 | 0 | ||||||||
\(540\) | 4.50000 | + | 2.59808i | 0.193649 | + | 0.111803i | ||||
\(541\) | −25.0000 | −1.07483 | −0.537417 | − | 0.843317i | \(-0.680600\pi\) | ||||
−0.537417 | + | 0.843317i | \(0.680600\pi\) | |||||||
\(542\) | −0.500000 | + | 0.866025i | −0.0214768 | + | 0.0371990i | ||||
\(543\) | −21.0000 | + | 12.1244i | −0.901196 | + | 0.520306i | ||||
\(544\) | −7.50000 | − | 12.9904i | −0.321560 | − | 0.556958i | ||||
\(545\) | −4.50000 | − | 7.79423i | −0.192759 | − | 0.333868i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 14.5000 | − | 25.1147i | 0.619975 | − | 1.07383i | −0.369514 | − | 0.929225i | \(-0.620476\pi\) |
0.989490 | − | 0.144604i | \(-0.0461907\pi\) | |||||||
\(548\) | 9.00000 | 0.384461 | ||||||||
\(549\) | −21.0000 | − | 36.3731i | −0.896258 | − | 1.55236i | ||||
\(550\) | −20.0000 | −0.852803 | ||||||||
\(551\) | 0.500000 | − | 0.866025i | 0.0213007 | − | 0.0368939i | ||||
\(552\) | 13.5000 | + | 7.79423i | 0.574598 | + | 0.331744i | ||||
\(553\) | 0 | 0 | ||||||||
\(554\) | −9.50000 | − | 16.4545i | −0.403616 | − | 0.699084i | ||||
\(555\) | 4.50000 | + | 2.59808i | 0.191014 | + | 0.110282i | ||||
\(556\) | 4.50000 | − | 7.79423i | 0.190843 | − | 0.330549i | ||||
\(557\) | −37.0000 | −1.56774 | −0.783870 | − | 0.620925i | \(-0.786757\pi\) | ||||
−0.783870 | + | 0.620925i | \(0.786757\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 5.00000 | 0.211477 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 25.9808i | 1.09691i | ||||||||
\(562\) | 14.5000 | + | 25.1147i | 0.611646 | + | 1.05940i | ||||
\(563\) | 14.0000 | + | 24.2487i | 0.590030 | + | 1.02196i | 0.994228 | + | 0.107290i | \(0.0342173\pi\) |
−0.404198 | + | 0.914671i | \(0.632449\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −0.500000 | + | 0.866025i | −0.0210352 | + | 0.0364340i | ||||
\(566\) | 28.0000 | 1.17693 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 36.0000 | 1.51053 | ||||||||
\(569\) | 17.0000 | − | 29.4449i | 0.712677 | − | 1.23439i | −0.251172 | − | 0.967943i | \(-0.580816\pi\) |
0.963849 | − | 0.266450i | \(-0.0858508\pi\) | |||||||
\(570\) | −1.50000 | + | 0.866025i | −0.0628281 | + | 0.0362738i | ||||
\(571\) | −16.0000 | − | 27.7128i | −0.669579 | − | 1.15975i | −0.978022 | − | 0.208502i | \(-0.933141\pi\) |
0.308443 | − | 0.951243i | \(-0.400192\pi\) | |||||||
\(572\) | −12.5000 | − | 21.6506i | −0.522651 | − | 0.905259i | ||||
\(573\) | 13.8564i | 0.578860i | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −12.0000 | −0.500435 | ||||||||
\(576\) | 10.5000 | − | 18.1865i | 0.437500 | − | 0.757772i | ||||
\(577\) | 31.0000 | 1.29055 | 0.645273 | − | 0.763952i | \(-0.276743\pi\) | ||||
0.645273 | + | 0.763952i | \(0.276743\pi\) | |||||||
\(578\) | 4.00000 | − | 6.92820i | 0.166378 | − | 0.288175i | ||||
\(579\) | 15.0000 | + | 8.66025i | 0.623379 | + | 0.359908i | ||||
\(580\) | 0.500000 | + | 0.866025i | 0.0207614 | + | 0.0359597i | ||||
\(581\) | 0 | 0 | ||||||||
\(582\) | 13.5000 | + | 7.79423i | 0.559593 | + | 0.323081i | ||||
\(583\) | 22.5000 | − | 38.9711i | 0.931855 | − | 1.61402i | ||||
\(584\) | −9.00000 | −0.372423 | ||||||||
\(585\) | 7.50000 | + | 12.9904i | 0.310087 | + | 0.537086i | ||||
\(586\) | −5.00000 | −0.206548 | ||||||||
\(587\) | 18.5000 | − | 32.0429i | 0.763577 | − | 1.32255i | −0.177419 | − | 0.984135i | \(-0.556775\pi\) |
0.940996 | − | 0.338418i | \(-0.109892\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 0 | 0 | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 3.00000 | − | 1.73205i | 0.123404 | − | 0.0712470i | ||||
\(592\) | 1.50000 | − | 2.59808i | 0.0616496 | − | 0.106780i | ||||
\(593\) | 15.0000 | 0.615976 | 0.307988 | − | 0.951390i | \(-0.400344\pi\) | ||||
0.307988 | + | 0.951390i | \(0.400344\pi\) | |||||||
\(594\) | −22.5000 | + | 12.9904i | −0.923186 | + | 0.533002i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 1.50000 | − | 2.59808i | 0.0614424 | − | 0.106421i | ||||
\(597\) | 4.50000 | − | 2.59808i | 0.184173 | − | 0.106332i | ||||
\(598\) | 7.50000 | + | 12.9904i | 0.306698 | + | 0.531216i | ||||
\(599\) | 12.0000 | + | 20.7846i | 0.490307 | + | 0.849236i | 0.999938 | − | 0.0111569i | \(-0.00355143\pi\) |
−0.509631 | + | 0.860393i | \(0.670218\pi\) | |||||||
\(600\) | 20.7846i | 0.848528i | ||||||||
\(601\) | 4.50000 | − | 7.79423i | 0.183559 | − | 0.317933i | −0.759531 | − | 0.650471i | \(-0.774572\pi\) |
0.943090 | + | 0.332538i | \(0.107905\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −12.0000 | −0.488678 | ||||||||
\(604\) | −5.00000 | −0.203447 | ||||||||
\(605\) | 7.00000 | − | 12.1244i | 0.284590 | − | 0.492925i | ||||
\(606\) | 25.5000 | + | 14.7224i | 1.03587 | + | 0.598058i | ||||
\(607\) | 0.500000 | + | 0.866025i | 0.0202944 | + | 0.0351509i | 0.875994 | − | 0.482322i | \(-0.160206\pi\) |
−0.855700 | + | 0.517472i | \(0.826873\pi\) | |||||||
\(608\) | −2.50000 | − | 4.33013i | −0.101388 | − | 0.175610i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −7.00000 | + | 12.1244i | −0.283422 | + | 0.490901i | ||||
\(611\) | 0 | 0 | ||||||||
\(612\) | 9.00000 | 0.363803 | ||||||||
\(613\) | 19.0000 | 0.767403 | 0.383701 | − | 0.923457i | \(-0.374649\pi\) | ||||
0.383701 | + | 0.923457i | \(0.374649\pi\) | |||||||
\(614\) | −14.0000 | + | 24.2487i | −0.564994 | + | 0.978598i | ||||
\(615\) | 8.66025i | 0.349215i | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −13.5000 | − | 23.3827i | −0.543490 | − | 0.941351i | −0.998700 | − | 0.0509678i | \(-0.983769\pi\) |
0.455211 | − | 0.890384i | \(-0.349564\pi\) | |||||||
\(618\) | −1.50000 | + | 0.866025i | −0.0603388 | + | 0.0348367i | ||||
\(619\) | −12.5000 | + | 21.6506i | −0.502417 | + | 0.870212i | 0.497579 | + | 0.867419i | \(0.334223\pi\) |
−0.999996 | + | 0.00279365i | \(0.999111\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −13.5000 | + | 7.79423i | −0.541736 | + | 0.312772i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 0 | 0 | ||||||||
\(624\) | 7.50000 | − | 4.33013i | 0.300240 | − | 0.173344i | ||||
\(625\) | −5.50000 | − | 9.52628i | −0.220000 | − | 0.381051i | ||||
\(626\) | −7.00000 | − | 12.1244i | −0.279776 | − | 0.484587i | ||||
\(627\) | 8.66025i | 0.345857i | ||||||||
\(628\) | −7.00000 | + | 12.1244i | −0.279330 | + | 0.483814i | ||||
\(629\) | 9.00000 | 0.358854 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −40.0000 | −1.59237 | −0.796187 | − | 0.605050i | \(-0.793153\pi\) | ||||
−0.796187 | + | 0.605050i | \(0.793153\pi\) | |||||||
\(632\) | 12.0000 | − | 20.7846i | 0.477334 | − | 0.826767i | ||||
\(633\) | −19.5000 | − | 11.2583i | −0.775055 | − | 0.447478i | ||||
\(634\) | 3.00000 | + | 5.19615i | 0.119145 | + | 0.206366i | ||||
\(635\) | −6.00000 | − | 10.3923i | −0.238103 | − | 0.412406i | ||||
\(636\) | −13.5000 | − | 7.79423i | −0.535310 | − | 0.309061i | ||||
\(637\) | 0 | 0 | ||||||||
\(638\) | −5.00000 | −0.197952 | ||||||||
\(639\) | −18.0000 | + | 31.1769i | −0.712069 | + | 1.23334i | ||||
\(640\) | 3.00000 | 0.118585 | ||||||||
\(641\) | 4.50000 | − | 7.79423i | 0.177739 | − | 0.307854i | −0.763367 | − | 0.645966i | \(-0.776455\pi\) |
0.941106 | + | 0.338112i | \(0.109788\pi\) | |||||||
\(642\) | 29.4449i | 1.16210i | ||||||||
\(643\) | 9.50000 | + | 16.4545i | 0.374643 | + | 0.648901i | 0.990274 | − | 0.139134i | \(-0.0444318\pi\) |
−0.615630 | + | 0.788035i | \(0.711098\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 1.50000 | − | 0.866025i | 0.0590624 | − | 0.0340997i | ||||
\(646\) | −1.50000 | + | 2.59808i | −0.0590167 | + | 0.102220i | ||||
\(647\) | 31.0000 | 1.21874 | 0.609368 | − | 0.792888i | \(-0.291423\pi\) | ||||
0.609368 | + | 0.792888i | \(0.291423\pi\) | |||||||
\(648\) | 13.5000 | + | 23.3827i | 0.530330 | + | 0.918559i | ||||
\(649\) | 0 | 0 | ||||||||
\(650\) | −10.0000 | + | 17.3205i | −0.392232 | + | 0.679366i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −5.50000 | − | 9.52628i | −0.215397 | − | 0.373078i | ||||
\(653\) | −1.50000 | − | 2.59808i | −0.0586995 | − | 0.101671i | 0.835182 | − | 0.549973i | \(-0.185362\pi\) |
−0.893882 | + | 0.448303i | \(0.852029\pi\) | |||||||
\(654\) | − | 15.5885i | − | 0.609557i | ||||||
\(655\) | −0.500000 | + | 0.866025i | −0.0195366 | + | 0.0338384i | ||||
\(656\) | 5.00000 | 0.195217 | ||||||||
\(657\) | 4.50000 | − | 7.79423i | 0.175562 | − | 0.304082i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −13.5000 | + | 23.3827i | −0.525885 | + | 0.910860i | 0.473660 | + | 0.880708i | \(0.342933\pi\) |
−0.999545 | + | 0.0301523i | \(0.990401\pi\) | |||||||
\(660\) | −7.50000 | − | 4.33013i | −0.291937 | − | 0.168550i | ||||
\(661\) | 7.00000 | + | 12.1244i | 0.272268 | + | 0.471583i | 0.969442 | − | 0.245319i | \(-0.0788928\pi\) |
−0.697174 | + | 0.716902i | \(0.745559\pi\) | |||||||
\(662\) | −4.00000 | − | 6.92820i | −0.155464 | − | 0.269272i | ||||
\(663\) | 22.5000 | + | 12.9904i | 0.873828 | + | 0.504505i | ||||
\(664\) | −13.5000 | + | 23.3827i | −0.523902 | + | 0.907424i | ||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 4.50000 | + | 7.79423i | 0.174371 | + | 0.302020i | ||||
\(667\) | −3.00000 | −0.116160 | ||||||||
\(668\) | −9.50000 | + | 16.4545i | −0.367566 | + | 0.636643i | ||||
\(669\) | 32.9090i | 1.27233i | ||||||||
\(670\) | 2.00000 | + | 3.46410i | 0.0772667 | + | 0.133830i | ||||
\(671\) | 35.0000 | + | 60.6218i | 1.35116 | + | 2.34028i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 14.5000 | − | 25.1147i | 0.558934 | − | 0.968102i | −0.438652 | − | 0.898657i | \(-0.644544\pi\) |
0.997586 | − | 0.0694449i | \(-0.0221228\pi\) | |||||||
\(674\) | −29.0000 | −1.11704 | ||||||||
\(675\) | −18.0000 | − | 10.3923i | −0.692820 | − | 0.400000i | ||||
\(676\) | −12.0000 | −0.461538 | ||||||||
\(677\) | −21.0000 | + | 36.3731i | −0.807096 | + | 1.39793i | 0.107772 | + | 0.994176i | \(0.465628\pi\) |
−0.914867 | + | 0.403755i | \(0.867705\pi\) | |||||||
\(678\) | −1.50000 | + | 0.866025i | −0.0576072 | + | 0.0332595i | ||||
\(679\) | 0 | 0 | ||||||||
\(680\) | −4.50000 | − | 7.79423i | −0.172567 | − | 0.298895i | ||||
\(681\) | − | 5.19615i | − | 0.199117i | ||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −9.00000 | −0.344375 | −0.172188 | − | 0.985064i | \(-0.555084\pi\) | ||||
−0.172188 | + | 0.985064i | \(0.555084\pi\) | |||||||
\(684\) | 3.00000 | 0.114708 | ||||||||
\(685\) | 9.00000 | 0.343872 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 1.50000 | + | 0.866025i | 0.0572286 | + | 0.0330409i | ||||
\(688\) | −0.500000 | − | 0.866025i | −0.0190623 | − | 0.0330169i | ||||
\(689\) | −22.5000 | − | 38.9711i | −0.857182 | − | 1.48468i | ||||
\(690\) | 4.50000 | + | 2.59808i | 0.171312 | + | 0.0989071i | ||||
\(691\) | 14.0000 | − | 24.2487i | 0.532585 | − | 0.922464i | −0.466691 | − | 0.884420i | \(-0.654554\pi\) |
0.999276 | − | 0.0380440i | \(-0.0121127\pi\) | |||||||
\(692\) | 14.0000 | 0.532200 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 4.00000 | 0.151838 | ||||||||
\(695\) | 4.50000 | − | 7.79423i | 0.170695 | − | 0.295652i | ||||
\(696\) | 5.19615i | 0.196960i | ||||||||
\(697\) | 7.50000 | + | 12.9904i | 0.284083 | + | 0.492046i | ||||
\(698\) | −9.50000 | − | 16.4545i | −0.359580 | − | 0.622811i | ||||
\(699\) | 4.50000 | − | 2.59808i | 0.170206 | − | 0.0982683i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 30.0000 | 1.13308 | 0.566542 | − | 0.824033i | \(-0.308281\pi\) | ||||
0.566542 | + | 0.824033i | \(0.308281\pi\) | |||||||
\(702\) | 25.9808i | 0.980581i | ||||||||
\(703\) | 3.00000 | 0.113147 | ||||||||
\(704\) | −17.5000 | + | 30.3109i | −0.659556 | + | 1.14238i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −5.50000 | − | 9.52628i | −0.206995 | − | 0.358526i | ||||
\(707\) | 0 | 0 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 3.00000 | − | 5.19615i | 0.112667 | − | 0.195146i | −0.804178 | − | 0.594389i | \(-0.797394\pi\) |
0.916845 | + | 0.399244i | \(0.130727\pi\) | |||||||
\(710\) | 12.0000 | 0.450352 | ||||||||
\(711\) | 12.0000 | + | 20.7846i | 0.450035 | + | 0.779484i | ||||
\(712\) | 39.0000 | 1.46159 | ||||||||
\(713\) | 0 | 0 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −12.5000 | − | 21.6506i | −0.467473 | − | 0.809688i | ||||
\(716\) | 9.50000 | + | 16.4545i | 0.355032 | + | 0.614933i | ||||
\(717\) | 22.5000 | + | 12.9904i | 0.840278 | + | 0.485135i | ||||
\(718\) | 5.50000 | − | 9.52628i | 0.205258 | − | 0.355518i | ||||
\(719\) | −27.0000 | −1.00693 | −0.503465 | − | 0.864016i | \(-0.667942\pi\) | ||||
−0.503465 | + | 0.864016i | \(0.667942\pi\) | |||||||
\(720\) | 1.50000 | − | 2.59808i | 0.0559017 | − | 0.0968246i | ||||
\(721\) | 0 | 0 | ||||||||
\(722\) | 9.00000 | − | 15.5885i | 0.334945 | − | 0.580142i | ||||
\(723\) | 19.0526i | 0.708572i | ||||||||
\(724\) | −7.00000 | − | 12.1244i | −0.260153 | − | 0.450598i | ||||
\(725\) | −2.00000 | − | 3.46410i | −0.0742781 | − | 0.128654i | ||||
\(726\) | 21.0000 | − | 12.1244i | 0.779383 | − | 0.449977i | ||||
\(727\) | −23.5000 | + | 40.7032i | −0.871567 | + | 1.50960i | −0.0111912 | + | 0.999937i | \(0.503562\pi\) |
−0.860376 | + | 0.509661i | \(0.829771\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −27.0000 | −1.00000 | ||||||||
\(730\) | −3.00000 | −0.111035 | ||||||||
\(731\) | 1.50000 | − | 2.59808i | 0.0554795 | − | 0.0960933i | ||||
\(732\) | 21.0000 | − | 12.1244i | 0.776182 | − | 0.448129i | ||||
\(733\) | −13.5000 | − | 23.3827i | −0.498634 | − | 0.863659i | 0.501365 | − | 0.865236i | \(-0.332831\pi\) |
−0.999999 | + | 0.00157675i | \(0.999498\pi\) | |||||||
\(734\) | 1.50000 | + | 2.59808i | 0.0553660 | + | 0.0958967i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −7.50000 | + | 12.9904i | −0.276454 | + | 0.478832i | ||||
\(737\) | 20.0000 | 0.736709 | ||||||||
\(738\) | −7.50000 | + | 12.9904i | −0.276079 | + | 0.478183i | ||||
\(739\) | −9.00000 | −0.331070 | −0.165535 | − | 0.986204i | \(-0.552935\pi\) | ||||
−0.165535 | + | 0.986204i | \(0.552935\pi\) | |||||||
\(740\) | −1.50000 | + | 2.59808i | −0.0551411 | + | 0.0955072i | ||||
\(741\) | 7.50000 | + | 4.33013i | 0.275519 | + | 0.159071i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 7.50000 | + | 12.9904i | 0.275148 | + | 0.476571i | 0.970173 | − | 0.242415i | \(-0.0779397\pi\) |
−0.695024 | + | 0.718986i | \(0.744606\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 1.50000 | − | 2.59808i | 0.0549557 | − | 0.0951861i | ||||
\(746\) | −25.0000 | −0.915315 | ||||||||
\(747\) | −13.5000 | − | 23.3827i | −0.493939 | − | 0.855528i | ||||
\(748\) | −15.0000 | −0.548454 | ||||||||
\(749\) | 0 | 0 | ||||||||
\(750\) | 15.5885i | 0.569210i | ||||||||
\(751\) | −15.5000 | − | 26.8468i | −0.565603 | − | 0.979653i | −0.996993 | − | 0.0774878i | \(-0.975310\pi\) |
0.431390 | − | 0.902165i | \(-0.358023\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −42.0000 | + | 24.2487i | −1.53057 | + | 0.883672i | ||||
\(754\) | −2.50000 | + | 4.33013i | −0.0910446 | + | 0.157694i | ||||
\(755\) | −5.00000 | −0.181969 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 2.00000 | 0.0726912 | 0.0363456 | − | 0.999339i | \(-0.488428\pi\) | ||||
0.0363456 | + | 0.999339i | \(0.488428\pi\) | |||||||
\(758\) | 6.00000 | − | 10.3923i | 0.217930 | − | 0.377466i | ||||
\(759\) | 22.5000 | − | 12.9904i | 0.816698 | − | 0.471521i | ||||
\(760\) | −1.50000 | − | 2.59808i | −0.0544107 | − | 0.0942421i | ||||
\(761\) | −13.5000 | − | 23.3827i | −0.489375 | − | 0.847622i | 0.510551 | − | 0.859848i | \(-0.329442\pi\) |
−0.999925 | + | 0.0122260i | \(0.996108\pi\) | |||||||
\(762\) | − | 20.7846i | − | 0.752947i | ||||||
\(763\) | 0 | 0 | ||||||||
\(764\) | −8.00000 | −0.289430 | ||||||||
\(765\) | 9.00000 | 0.325396 | ||||||||
\(766\) | 27.0000 | 0.975550 | ||||||||
\(767\) | 0 | 0 | ||||||||
\(768\) | 25.5000 | + | 14.7224i | 0.920152 | + | 0.531250i | ||||
\(769\) | −11.5000 | − | 19.9186i | −0.414701 | − | 0.718283i | 0.580696 | − | 0.814120i | \(-0.302780\pi\) |
−0.995397 | + | 0.0958377i | \(0.969447\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 43.5000 | + | 25.1147i | 1.56661 | + | 0.904485i | ||||
\(772\) | −5.00000 | + | 8.66025i | −0.179954 | + | 0.311689i | ||||
\(773\) | 31.0000 | 1.11499 | 0.557496 | − | 0.830179i | \(-0.311762\pi\) | ||||
0.557496 | + | 0.830179i | \(0.311762\pi\) | |||||||
\(774\) | 3.00000 | 0.107833 | ||||||||
\(775\) | 0 | 0 | ||||||||
\(776\) | −13.5000 | + | 23.3827i | −0.484622 | + | 0.839390i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 4.50000 | + | 7.79423i | 0.161333 | + | 0.279437i | ||||
\(779\) | 2.50000 | + | 4.33013i | 0.0895718 | + | 0.155143i | ||||
\(780\) | −7.50000 | + | 4.33013i | −0.268543 | + | 0.155043i | ||||
\(781\) | 30.0000 | − | 51.9615i | 1.07348 | − | 1.85933i | ||||
\(782\) | 9.00000 | 0.321839 | ||||||||
\(783\) | −4.50000 | − | 2.59808i | −0.160817 | − | 0.0928477i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −7.00000 | + | 12.1244i | −0.249841 | + | 0.432737i | ||||
\(786\) | −1.50000 | + | 0.866025i | −0.0535032 | + | 0.0308901i | ||||
\(787\) | −14.0000 | − | 24.2487i | −0.499046 | − | 0.864373i | 0.500953 | − | 0.865474i | \(-0.332983\pi\) |
−0.999999 | + | 0.00110111i | \(0.999650\pi\) | |||||||
\(788\) | 1.00000 | + | 1.73205i | 0.0356235 | + | 0.0617018i | ||||
\(789\) | 8.66025i | 0.308313i | ||||||||
\(790\) | 4.00000 | − | 6.92820i | 0.142314 | − | 0.246494i | ||||
\(791\) | 0 | 0 | ||||||||
\(792\) | −22.5000 | − | 38.9711i | −0.799503 | − | 1.38478i | ||||
\(793\) | 70.0000 | 2.48577 | ||||||||
\(794\) | −7.50000 | + | 12.9904i | −0.266165 | + | 0.461011i | ||||
\(795\) | −13.5000 | − | 7.79423i | −0.478796 | − | 0.276433i | ||||
\(796\) | 1.50000 | + | 2.59808i | 0.0531661 | + | 0.0920864i | ||||
\(797\) | −11.5000 | − | 19.9186i | −0.407351 | − | 0.705552i | 0.587241 | − | 0.809412i | \(-0.300214\pi\) |
−0.994592 | + | 0.103860i | \(0.966881\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 0 | 0 | ||||||||
\(800\) | −20.0000 | −0.707107 | ||||||||
\(801\) | −19.5000 | + | 33.7750i | −0.688999 | + | 1.19338i | ||||
\(802\) | 3.00000 | 0.105934 | ||||||||
\(803\) | −7.50000 | + | 12.9904i | −0.264669 | + | 0.458421i | ||||
\(804\) | − | 6.92820i | − | 0.244339i | ||||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 4.50000 | − | 2.59808i | 0.158408 | − | 0.0914566i | ||||
\(808\) | −25.5000 | + | 44.1673i | −0.897087 | + | 1.55380i | ||||
\(809\) | −9.00000 | −0.316423 | −0.158212 | − | 0.987405i | \(-0.550573\pi\) | ||||
−0.158212 | + | 0.987405i | \(0.550573\pi\) | |||||||
\(810\) | 4.50000 | + | 7.79423i | 0.158114 | + | 0.273861i | ||||
\(811\) | −28.0000 | −0.983213 | −0.491606 | − | 0.870817i | \(-0.663590\pi\) | ||||
−0.491606 | + | 0.870817i | \(0.663590\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 1.50000 | − | 0.866025i | 0.0526073 | − | 0.0303728i | ||||
\(814\) | −7.50000 | − | 12.9904i | −0.262875 | − | 0.455313i | ||||
\(815\) | −5.50000 | − | 9.52628i | −0.192657 | − | 0.333691i | ||||
\(816\) | − | 5.19615i | − | 0.181902i | ||||||
\(817\) | 0.500000 | − | 0.866025i | 0.0174928 | − | 0.0302984i | ||||
\(818\) | 14.0000 | 0.489499 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −5.00000 | −0.174608 | ||||||||
\(821\) | −11.0000 | + | 19.0526i | −0.383903 | + | 0.664939i | −0.991616 | − | 0.129217i | \(-0.958754\pi\) |
0.607714 | + | 0.794156i | \(0.292087\pi\) | |||||||
\(822\) | 13.5000 | + | 7.79423i | 0.470867 | + | 0.271855i | ||||
\(823\) | 12.0000 | + | 20.7846i | 0.418294 | + | 0.724506i | 0.995768 | − | 0.0919029i | \(-0.0292950\pi\) |
−0.577474 | + | 0.816409i | \(0.695962\pi\) | |||||||
\(824\) | −1.50000 | − | 2.59808i | −0.0522550 | − | 0.0905083i | ||||
\(825\) | 30.0000 | + | 17.3205i | 1.04447 | + | 0.603023i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −12.0000 | −0.417281 | −0.208640 | − | 0.977992i | \(-0.566904\pi\) | ||||
−0.208640 | + | 0.977992i | \(0.566904\pi\) | |||||||
\(828\) | −4.50000 | − | 7.79423i | −0.156386 | − | 0.270868i | ||||
\(829\) | −25.0000 | −0.868286 | −0.434143 | − | 0.900844i | \(-0.642949\pi\) | ||||
−0.434143 | + | 0.900844i | \(0.642949\pi\) | |||||||
\(830\) | −4.50000 | + | 7.79423i | −0.156197 | + | 0.270542i | ||||
\(831\) | 32.9090i | 1.14160i | ||||||||
\(832\) | 17.5000 | + | 30.3109i | 0.606703 | + | 1.05084i | ||||
\(833\) | 0 | 0 | ||||||||
\(834\) | 13.5000 | − | 7.79423i | 0.467467 | − | 0.269892i | ||||
\(835\) | −9.50000 | + | 16.4545i | −0.328761 | + | 0.569431i | ||||
\(836\) | −5.00000 | −0.172929 | ||||||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 9.00000 | 0.310900 | ||||||||
\(839\) | 18.5000 | − | 32.0429i | 0.638691 | − | 1.10625i | −0.347029 | − | 0.937854i | \(-0.612810\pi\) |
0.985720 | − | 0.168391i | \(-0.0538571\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 14.0000 | + | 24.2487i | 0.482759 | + | 0.836162i | ||||
\(842\) | 0.500000 | + | 0.866025i | 0.0172311 | + | 0.0298452i | ||||
\(843\) | − | 50.2295i | − | 1.72999i | ||||||
\(844\) | 6.50000 | − | 11.2583i | 0.223739 | − | 0.387528i | ||||
\(845\) | −12.0000 | −0.412813 | ||||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 0 | 0 | ||||||||
\(848\) | −4.50000 | + | 7.79423i | −0.154531 | + | 0.267655i | ||||
\(849\) | −42.0000 | − | 24.2487i | −1.44144 | − | 0.832214i | ||||
\(850\) | 6.00000 | + | 10.3923i | 0.205798 | + | 0.356453i | ||||
\(851\) | −4.50000 | − | 7.79423i | −0.154258 | − | 0.267183i | ||||
\(852\) | −18.0000 | − | 10.3923i | −0.616670 | − | 0.356034i | ||||
\(853\) | 18.5000 | − | 32.0429i | 0.633428 | − | 1.09713i | −0.353418 | − | 0.935466i | \(-0.614981\pi\) |
0.986846 | − | 0.161664i | \(-0.0516860\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 3.00000 | 0.102598 | ||||||||
\(856\) | −51.0000 | −1.74314 | ||||||||
\(857\) | −5.50000 | + | 9.52628i | −0.187876 | + | 0.325412i | −0.944542 | − | 0.328391i | \(-0.893494\pi\) |
0.756666 | + | 0.653802i | \(0.226827\pi\) | |||||||
\(858\) | − | 43.3013i | − | 1.47828i | ||||||
\(859\) | 0.500000 | + | 0.866025i | 0.0170598 | + | 0.0295484i | 0.874429 | − | 0.485153i | \(-0.161236\pi\) |
−0.857369 | + | 0.514701i | \(0.827903\pi\) | |||||||
\(860\) | 0.500000 | + | 0.866025i | 0.0170499 | + | 0.0295312i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 4.50000 | − | 7.79423i | 0.153271 | − | 0.265472i | ||||
\(863\) | −39.0000 | −1.32758 | −0.663788 | − | 0.747921i | \(-0.731052\pi\) | ||||
−0.663788 | + | 0.747921i | \(0.731052\pi\) | |||||||
\(864\) | −22.5000 | + | 12.9904i | −0.765466 | + | 0.441942i | ||||
\(865\) | 14.0000 | 0.476014 | ||||||||
\(866\) | 7.00000 | − | 12.1244i | 0.237870 | − | 0.412002i | ||||
\(867\) | −12.0000 | + | 6.92820i | −0.407541 | + | 0.235294i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −20.0000 | − | 34.6410i | −0.678454 | − | 1.17512i | ||||
\(870\) | 1.73205i | 0.0587220i | ||||||||
\(871\) | 10.0000 | − | 17.3205i | 0.338837 | − | 0.586883i | ||||
\(872\) | 27.0000 | 0.914335 | ||||||||
\(873\) | −13.5000 | − | 23.3827i | −0.456906 | − | 0.791384i | ||||
\(874\) | 3.00000 | 0.101477 | ||||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | 4.50000 | + | 2.59808i | 0.152041 | + | 0.0877809i | ||||
\(877\) | 26.5000 | + | 45.8993i | 0.894841 | + | 1.54991i | 0.834001 | + | 0.551763i | \(0.186045\pi\) |
0.0608407 | + | 0.998147i | \(0.480622\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 7.50000 | + | 4.33013i | 0.252969 | + | 0.146052i | ||||
\(880\) | −2.50000 | + | 4.33013i | −0.0842750 | + | 0.145969i | ||||
\(881\) | −42.0000 | −1.41502 | −0.707508 | − | 0.706705i | \(-0.750181\pi\) | ||||
−0.707508 | + | 0.706705i | \(0.750181\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 44.0000 | 1.48072 | 0.740359 | − | 0.672212i | \(-0.234656\pi\) | ||||
0.740359 | + | 0.672212i | \(0.234656\pi\) | |||||||
\(884\) | −7.50000 | + | 12.9904i | −0.252252 | + | 0.436914i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −18.0000 | − | 31.1769i | −0.604722 | − | 1.04741i | ||||
\(887\) | 14.5000 | + | 25.1147i | 0.486862 | + | 0.843270i | 0.999886 | − | 0.0151042i | \(-0.00480800\pi\) |
−0.513024 | + | 0.858375i | \(0.671475\pi\) | |||||||
\(888\) | −13.5000 | + | 7.79423i | −0.453030 | + | 0.261557i | ||||
\(889\) | 0 | 0 | ||||||||
\(890\) | 13.0000 | 0.435761 | ||||||||
\(891\) | 45.0000 | 1.50756 | ||||||||
\(892\) | −19.0000 | −0.636167 | ||||||||
\(893\) | 0 | 0 | ||||||||
\(894\) | 4.50000 | − | 2.59808i | 0.150503 | − | 0.0868927i | ||||
\(895\) | 9.50000 | + | 16.4545i | 0.317550 | + | 0.550013i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | − | 25.9808i | − | 0.867472i | ||||||
\(898\) | −15.0000 | + | 25.9808i | −0.500556 | + | 0.866989i | ||||
\(899\) | 0 | 0 | ||||||||
\(900\) | 6.00000 | − | 10.3923i | 0.200000 | − | 0.346410i | ||||
\(901\) | −27.0000 | −0.899500 | ||||||||
\(902\) | 12.5000 | − | 21.6506i | 0.416204 | − | 0.720887i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −1.50000 | − | 2.59808i | −0.0498893 | − | 0.0864107i | ||||
\(905\) | −7.00000 | − | 12.1244i | −0.232688 | − | 0.403027i | ||||
\(906\) | −7.50000 | − | 4.33013i | −0.249171 | − | 0.143859i | ||||
\(907\) | −2.50000 | + | 4.33013i | −0.0830111 | + | 0.143780i | −0.904542 | − | 0.426385i | \(-0.859787\pi\) |
0.821531 | + | 0.570164i | \(0.193120\pi\) | |||||||
\(908\) | 3.00000 | 0.0995585 | ||||||||
\(909\) | −25.5000 | − | 44.1673i | −0.845782 | − | 1.46494i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −13.5000 | + | 23.3827i | −0.447275 | + | 0.774703i | −0.998208 | − | 0.0598468i | \(-0.980939\pi\) |
0.550933 | + | 0.834550i | \(0.314272\pi\) | |||||||
\(912\) | − | 1.73205i | − | 0.0573539i | ||||||
\(913\) | 22.5000 | + | 38.9711i | 0.744641 | + | 1.28976i | ||||
\(914\) | −11.0000 | − | 19.0526i | −0.363848 | − | 0.630203i | ||||
\(915\) | 21.0000 | − | 12.1244i | 0.694239 | − | 0.400819i | ||||
\(916\) | −0.500000 | + | 0.866025i | −0.0165205 | + | 0.0286143i | ||||
\(917\) | 0 | 0 | ||||||||
\(918\) | 13.5000 | + | 7.79423i | 0.445566 | + | 0.257248i | ||||
\(919\) | 17.0000 | 0.560778 | 0.280389 | − | 0.959886i | \(-0.409536\pi\) | ||||
0.280389 | + | 0.959886i | \(0.409536\pi\) | |||||||
\(920\) | −4.50000 | + | 7.79423i | −0.148361 | + | 0.256968i | ||||
\(921\) | 42.0000 | − | 24.2487i | 1.38395 | − | 0.799022i | ||||
\(922\) | −9.50000 | − | 16.4545i | −0.312866 | − | 0.541900i | ||||
\(923\) | −30.0000 | − | 51.9615i | −0.987462 | − | 1.71033i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 6.00000 | − | 10.3923i | 0.197279 | − | 0.341697i | ||||
\(926\) | 13.0000 | 0.427207 | ||||||||
\(927\) | 3.00000 | 0.0985329 | ||||||||
\(928\) | −5.00000 | −0.164133 | ||||||||
\(929\) | 7.00000 | − | 12.1244i | 0.229663 | − | 0.397787i | −0.728046 | − | 0.685529i | \(-0.759571\pi\) |
0.957708 | + | 0.287742i | \(0.0929044\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 0 | 0 | ||||||||
\(932\) | 1.50000 | + | 2.59808i | 0.0491341 | + | 0.0851028i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 13.5000 | − | 23.3827i | 0.441733 | − | 0.765105i | ||||
\(935\) | −15.0000 | −0.490552 | ||||||||
\(936\) | −45.0000 | −1.47087 | ||||||||
\(937\) | 42.0000 | 1.37208 | 0.686040 | − | 0.727564i | \(-0.259347\pi\) | ||||
0.686040 | + | 0.727564i | \(0.259347\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 24.2487i | 0.791327i | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 7.00000 | + | 12.1244i | 0.228193 | + | 0.395243i | 0.957273 | − | 0.289187i | \(-0.0933848\pi\) |
−0.729079 | + | 0.684429i | \(0.760051\pi\) | |||||||
\(942\) | −21.0000 | + | 12.1244i | −0.684217 | + | 0.395033i | ||||
\(943\) | 7.50000 | − | 12.9904i | 0.244234 | − | 0.423025i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −5.00000 | −0.162564 | ||||||||
\(947\) | 10.0000 | − | 17.3205i | 0.324956 | − | 0.562841i | −0.656547 | − | 0.754285i | \(-0.727984\pi\) |
0.981504 | + | 0.191444i | \(0.0613171\pi\) | |||||||
\(948\) | −12.0000 | + | 6.92820i | −0.389742 | + | 0.225018i | ||||
\(949\) | 7.50000 | + | 12.9904i | 0.243460 | + | 0.421686i | ||||
\(950\) | 2.00000 | + | 3.46410i | 0.0648886 | + | 0.112390i | ||||
\(951\) | − | 10.3923i | − | 0.336994i | ||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −26.0000 | −0.842223 | −0.421111 | − | 0.907009i | \(-0.638360\pi\) | ||||
−0.421111 | + | 0.907009i | \(0.638360\pi\) | |||||||
\(954\) | −13.5000 | − | 23.3827i | −0.437079 | − | 0.757042i | ||||
\(955\) | −8.00000 | −0.258874 | ||||||||
\(956\) | −7.50000 | + | 12.9904i | −0.242567 | + | 0.420139i | ||||
\(957\) | 7.50000 | + | 4.33013i | 0.242441 | + | 0.139973i | ||||
\(958\) | −12.5000 | − | 21.6506i | −0.403857 | − | 0.699500i | ||||
\(959\) | 0 | 0 | ||||||||
\(960\) | 10.5000 | + | 6.06218i | 0.338886 | + | 0.195656i | ||||
\(961\) | 15.5000 | − | 26.8468i | 0.500000 | − | 0.866025i | ||||
\(962\) | −15.0000 | −0.483619 | ||||||||
\(963\) | 25.5000 | − | 44.1673i | 0.821726 | − | 1.42327i | ||||
\(964\) | −11.0000 | −0.354286 | ||||||||
\(965\) | −5.00000 | + | 8.66025i | −0.160956 | + | 0.278783i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −6.50000 | − | 11.2583i | −0.209026 | − | 0.362043i | 0.742382 | − | 0.669977i | \(-0.233696\pi\) |
−0.951408 | + | 0.307933i | \(0.900363\pi\) | |||||||
\(968\) | 21.0000 | + | 36.3731i | 0.674966 | + | 1.16907i | ||||
\(969\) | 4.50000 | − | 2.59808i | 0.144561 | − | 0.0834622i | ||||
\(970\) | −4.50000 | + | 7.79423i | −0.144486 | + | 0.250258i | ||||
\(971\) | 57.0000 | 1.82922 | 0.914609 | − | 0.404341i | \(-0.132499\pi\) | ||||
0.914609 | + | 0.404341i | \(0.132499\pi\) | |||||||
\(972\) | − | 15.5885i | − | 0.500000i | ||||||
\(973\) | 0 | 0 | ||||||||
\(974\) | −9.50000 | + | 16.4545i | −0.304400 | + | 0.527236i | ||||
\(975\) | 30.0000 | − | 17.3205i | 0.960769 | − | 0.554700i | ||||
\(976\) | −7.00000 | − | 12.1244i | −0.224065 | − | 0.388091i | ||||
\(977\) | −9.00000 | − | 15.5885i | −0.287936 | − | 0.498719i | 0.685381 | − | 0.728184i | \(-0.259636\pi\) |
−0.973317 | + | 0.229465i | \(0.926302\pi\) | |||||||
\(978\) | − | 19.0526i | − | 0.609234i | ||||||
\(979\) | 32.5000 | − | 56.2917i | 1.03870 | − | 1.79909i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −13.5000 | + | 23.3827i | −0.431022 | + | 0.746552i | ||||
\(982\) | 13.0000 | 0.414847 | ||||||||
\(983\) | 1.50000 | − | 2.59808i | 0.0478426 | − | 0.0828658i | −0.841112 | − | 0.540860i | \(-0.818099\pi\) |
0.888955 | + | 0.457995i | \(0.151432\pi\) | |||||||
\(984\) | −22.5000 | − | 12.9904i | −0.717274 | − | 0.414118i | ||||
\(985\) | 1.00000 | + | 1.73205i | 0.0318626 | + | 0.0551877i | ||||
\(986\) | 1.50000 | + | 2.59808i | 0.0477697 | + | 0.0827396i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −2.50000 | + | 4.33013i | −0.0795356 | + | 0.137760i | ||||
\(989\) | −3.00000 | −0.0953945 | ||||||||
\(990\) | −7.50000 | − | 12.9904i | −0.238366 | − | 0.412861i | ||||
\(991\) | −37.0000 | −1.17534 | −0.587672 | − | 0.809099i | \(-0.699955\pi\) | ||||
−0.587672 | + | 0.809099i | \(0.699955\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 13.8564i | 0.439720i | ||||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 1.50000 | + | 2.59808i | 0.0475532 | + | 0.0823646i | ||||
\(996\) | 13.5000 | − | 7.79423i | 0.427764 | − | 0.246970i | ||||
\(997\) | 8.50000 | − | 14.7224i | 0.269198 | − | 0.466264i | −0.699457 | − | 0.714675i | \(-0.746575\pi\) |
0.968655 | + | 0.248410i | \(0.0799082\pi\) | |||||||
\(998\) | 31.0000 | 0.981288 | ||||||||
\(999\) | − | 15.5885i | − | 0.493197i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))