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 | 148.1 | ||
Root | \(0.500000 - 0.866025i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 441.148 |
Dual form | 441.2.f.b.295.1 |
$q$-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 \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(344\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.500000 | − | 0.866025i | −0.353553 | − | 0.612372i | 0.633316 | − | 0.773893i | \(-0.281693\pi\) |
−0.986869 | + | 0.161521i | \(0.948360\pi\) | |||||||
\(3\) | 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 | −0.732294 | − | 0.680989i | \(-0.761550\pi\) |
0.955901 | + | 0.293691i | \(0.0948835\pi\) | |||||||
\(6\) | − | 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 | −0.945979 | − | 0.324227i | \(-0.894896\pi\) |
0.192201 | − | 0.981356i | \(-0.438437\pi\) | |||||||
\(12\) | 1.50000 | − | 0.866025i | 0.433013 | − | 0.250000i | ||||
\(13\) | 2.50000 | − | 4.33013i | 0.693375 | − | 1.20096i | −0.277350 | − | 0.960769i | \(-0.589456\pi\) |
0.970725 | − | 0.240192i | \(-0.0772105\pi\) | |||||||
\(14\) | 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 | −0.978961 | − | 0.204046i | \(-0.934591\pi\) |
0.666190 | + | 0.745782i | \(0.267924\pi\) | |||||||
\(24\) | −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 | 0.908708 | − | 0.417432i | \(-0.137070\pi\) |
−0.815861 | + | 0.578249i | \(0.803736\pi\) | |||||||
\(30\) | −1.50000 | − | 0.866025i | −0.273861 | − | 0.158114i | ||||
\(31\) | 0 | 0 | −0.866025 | − | 0.500000i | \(-0.833333\pi\) | ||||
0.866025 | + | 0.500000i | \(0.166667\pi\) | |||||||
\(32\) | −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 | −0.602072 | − | 0.798441i | \(-0.705658\pi\) |
0.992507 | + | 0.122189i | \(0.0389915\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 0.500000 | + | 0.866025i | 0.0762493 | + | 0.132068i | 0.901629 | − | 0.432511i | \(-0.142372\pi\) |
−0.825380 | + | 0.564578i | \(0.809039\pi\) | |||||||
\(44\) | −5.00000 | −0.753778 | ||||||||
\(45\) | 3.00000 | 0.447214 | ||||||||
\(46\) | 3.00000 | 0.442326 | ||||||||
\(47\) | 0 | 0 | 0.866025 | − | 0.500000i | \(-0.166667\pi\) | ||||
−0.866025 | + | 0.500000i | \(0.833333\pi\) | |||||||
\(48\) | 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 | \(-0.833333\pi\) | ||||
0.866025 | + | 0.500000i | \(0.166667\pi\) | |||||||
\(60\) | − | 1.73205i | − | 0.223607i | ||||||
\(61\) | 7.00000 | + | 12.1244i | 0.896258 | + | 1.55236i | 0.832240 | + | 0.554416i | \(0.187058\pi\) |
0.0640184 | + | 0.997949i | \(0.479608\pi\) | |||||||
\(62\) | 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 | −0.961946 | − | 0.273241i | \(-0.911904\pi\) |
0.717607 | + | 0.696449i | \(0.245238\pi\) | |||||||
\(68\) | 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 | 0.548352 | − | 0.836247i | \(-0.315255\pi\) |
−0.998388 | + | 0.0567635i | \(0.981922\pi\) | |||||||
\(80\) | 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 | 0.999976 | − | 0.00698436i | \(-0.00222321\pi\) |
−0.506036 | + | 0.862512i | \(0.668890\pi\) | |||||||
\(84\) | 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 | 0.998796 | − | 0.0490655i | \(-0.0156243\pi\) |
−0.541890 | + | 0.840450i | \(0.682291\pi\) | |||||||
\(98\) | 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 | 0.884941 | + | 0.465704i | \(0.154199\pi\) |
−0.0391591 | + | 0.999233i | \(0.512468\pi\) | |||||||
\(102\) | − | 5.19615i | − | 0.514496i | ||||||
\(103\) | 0.500000 | − | 0.866025i | 0.0492665 | − | 0.0853320i | −0.840341 | − | 0.542059i | \(-0.817645\pi\) |
0.889607 | + | 0.456727i | \(0.150978\pi\) | |||||||
\(104\) | −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 | −0.841549 | − | 0.540181i | \(-0.818356\pi\) |
0.888585 | + | 0.458712i | \(0.151689\pi\) | |||||||
\(114\) | − | 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 | −0.843356 | − | 0.537355i | \(-0.819423\pi\) |
0.887041 | + | 0.461690i | \(0.152757\pi\) | |||||||
\(132\) | −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 | 0.991694 | − | 0.128618i | \(-0.0410540\pi\) |
−0.607233 | + | 0.794524i | \(0.707721\pi\) | |||||||
\(138\) | 4.50000 | + | 2.59808i | 0.383065 | + | 0.221163i | ||||
\(139\) | −4.50000 | + | 7.79423i | −0.381685 | + | 0.661098i | −0.991303 | − | 0.131597i | \(-0.957989\pi\) |
0.609618 | + | 0.792695i | \(0.291323\pi\) | |||||||
\(140\) | 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 | −0.920904 | − | 0.389789i | \(-0.872548\pi\) |
0.798019 | + | 0.602632i | \(0.205881\pi\) | |||||||
\(150\) | 6.00000 | − | 3.46410i | 0.489898 | − | 0.282843i | ||||
\(151\) | −2.50000 | − | 4.33013i | −0.203447 | − | 0.352381i | 0.746190 | − | 0.665733i | \(-0.231881\pi\) |
−0.949637 | + | 0.313353i | \(0.898548\pi\) | |||||||
\(152\) | −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 | −0.438948 | − | 0.898513i | \(-0.644649\pi\) |
0.997609 | − | 0.0691164i | \(-0.0220180\pi\) | |||||||
\(158\) | −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 | −0.219533 | − | 0.975605i | \(-0.570453\pi\) |
0.954665 | − | 0.297681i | \(-0.0962132\pi\) | |||||||
\(168\) | 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 | 0.999293 | + | 0.0375896i | \(0.0119679\pi\) |
−0.467093 | + | 0.884208i | \(0.654699\pi\) | |||||||
\(174\) | 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 | 0.684244 | − | 0.729253i | \(-0.260132\pi\) |
−0.973674 | + | 0.227946i | \(0.926799\pi\) | |||||||
\(192\) | 10.5000 | + | 6.06218i | 0.757772 | + | 0.437500i | ||||
\(193\) | 5.00000 | − | 8.66025i | 0.359908 | − | 0.623379i | −0.628037 | − | 0.778183i | \(-0.716141\pi\) |
0.987945 | + | 0.154805i | \(0.0494748\pi\) | |||||||
\(194\) | 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 | −0.998221 | − | 0.0596196i | \(-0.981011\pi\) |
0.550743 | + | 0.834675i | \(0.314345\pi\) | |||||||
\(212\) | −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 | −0.986267 | − | 0.165161i | \(-0.947186\pi\) |
0.350100 | − | 0.936713i | \(-0.386148\pi\) | |||||||
\(224\) | 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 | 0.911502 | − | 0.411296i | \(-0.134924\pi\) |
−0.811943 | + | 0.583736i | \(0.801590\pi\) | |||||||
\(228\) | 1.50000 | − | 0.866025i | 0.0993399 | − | 0.0573539i | ||||
\(229\) | 0.500000 | − | 0.866025i | 0.0330409 | − | 0.0572286i | −0.849032 | − | 0.528341i | \(-0.822814\pi\) |
0.882073 | + | 0.471113i | \(0.156147\pi\) | |||||||
\(230\) | 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 | −0.514719 | − | 0.857359i | \(-0.672104\pi\) |
0.999854 | + | 0.0170808i | \(0.00543724\pi\) | |||||||
\(240\) | 1.50000 | + | 0.866025i | 0.0968246 | + | 0.0559017i | ||||
\(241\) | −5.50000 | − | 9.52628i | −0.354286 | − | 0.613642i | 0.632709 | − | 0.774389i | \(-0.281943\pi\) |
−0.986996 | + | 0.160748i | \(0.948609\pi\) | |||||||
\(242\) | 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 | 0.0828783 | − | 0.996560i | \(-0.473589\pi\) |
0.821607 | − | 0.570055i | \(-0.193078\pi\) | |||||||
\(258\) | 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 | 0.778595 | − | 0.627527i | \(-0.215933\pi\) |
−0.932752 | + | 0.360520i | \(0.882599\pi\) | |||||||
\(264\) | 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 | −0.996484 | − | 0.0837823i | \(-0.973300\pi\) |
0.425684 | − | 0.904872i | \(-0.360033\pi\) | |||||||
\(278\) | 9.00000 | 0.539784 | ||||||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 14.5000 | + | 25.1147i | 0.864997 | + | 1.49822i | 0.867050 | + | 0.498222i | \(0.166013\pi\) |
−0.00205220 | + | 0.999998i | \(0.500653\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −14.0000 | + | 24.2487i | −0.832214 | + | 1.44144i | 0.0640654 | + | 0.997946i | \(0.479593\pi\) |
−0.896279 | + | 0.443491i | \(0.853740\pi\) | |||||||
\(284\) | −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 | −0.783713 | − | 0.621123i | \(-0.786677\pi\) |
0.929765 | + | 0.368154i | \(0.120010\pi\) | |||||||
\(294\) | 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 | \(-0.833333\pi\) | ||||
0.866025 | + | 0.500000i | \(0.166667\pi\) | |||||||
\(312\) | −22.5000 | + | 12.9904i | −1.27381 | + | 0.735436i | ||||
\(313\) | −7.00000 | − | 12.1244i | −0.395663 | − | 0.685309i | 0.597522 | − | 0.801852i | \(-0.296152\pi\) |
−0.993186 | + | 0.116543i | \(0.962819\pi\) | |||||||
\(314\) | −14.0000 | −0.790066 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −8.00000 | −0.450035 | ||||||||
\(317\) | 3.00000 | + | 5.19615i | 0.168497 | + | 0.291845i | 0.937892 | − | 0.346929i | \(-0.112775\pi\) |
−0.769395 | + | 0.638774i | \(0.779442\pi\) | |||||||
\(318\) | 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 | 0.734905 | − | 0.678170i | \(-0.237227\pi\) |
−0.954765 | + | 0.297361i | \(0.903893\pi\) | |||||||
\(332\) | 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 | −0.136184 | − | 0.990684i | \(-0.543484\pi\) |
0.926049 | − | 0.377403i | \(-0.123183\pi\) | |||||||
\(338\) | −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 | −0.914702 | − | 0.404128i | \(-0.867575\pi\) |
0.807337 | + | 0.590091i | \(0.200908\pi\) | |||||||
\(348\) | 1.50000 | + | 0.866025i | 0.0804084 | + | 0.0464238i | ||||
\(349\) | −9.50000 | − | 16.4545i | −0.508523 | − | 0.880788i | −0.999951 | − | 0.00987003i | \(-0.996858\pi\) |
0.491428 | − | 0.870918i | \(-0.336475\pi\) | |||||||
\(350\) | 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 | 0.681720 | − | 0.731613i | \(-0.261232\pi\) |
−0.974456 | + | 0.224580i | \(0.927899\pi\) | |||||||
\(354\) | 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 | 0.902516 | − | 0.430656i | \(-0.141718\pi\) |
−0.824217 | + | 0.566274i | \(0.808384\pi\) | |||||||
\(368\) | −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 | −0.336557 | − | 0.941663i | \(-0.609263\pi\) |
0.983783 | − | 0.179364i | \(-0.0574041\pi\) | |||||||
\(374\) | −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 | 0.282079 | + | 0.959391i | \(0.408976\pi\) |
−0.971897 | + | 0.235408i | \(0.924357\pi\) | |||||||
\(384\) | 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 | 0.957263 | − | 0.289220i | \(-0.0933960\pi\) |
−0.729103 | + | 0.684403i | \(0.760063\pi\) | |||||||
\(390\) | −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 | −0.901046 | − | 0.433724i | \(-0.857199\pi\) |
0.826139 | + | 0.563466i | \(0.190532\pi\) | |||||||
\(402\) | 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 | −0.985558 | − | 0.169338i | \(-0.945837\pi\) |
0.639430 | + | 0.768849i | \(0.279170\pi\) | |||||||
\(410\) | −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 | −0.954759 | − | 0.297382i | \(-0.903887\pi\) |
0.734919 | + | 0.678155i | \(0.237220\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 0.500000 | + | 0.866025i | 0.0243685 | + | 0.0422075i | 0.877952 | − | 0.478748i | \(-0.158909\pi\) |
−0.853584 | + | 0.520955i | \(0.825576\pi\) | |||||||
\(422\) | 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 | \(-0.166667\pi\) | ||||
−0.866025 | + | 0.500000i | \(0.833333\pi\) | |||||||
\(440\) | 15.0000 | 0.715097 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −15.0000 | −0.713477 | ||||||||
\(443\) | −18.0000 | − | 31.1769i | −0.855206 | − | 1.48126i | −0.876454 | − | 0.481486i | \(-0.840097\pi\) |
0.0212481 | − | 0.999774i | \(-0.493236\pi\) | |||||||
\(444\) | 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 | −0.999857 | − | 0.0168929i | \(-0.994623\pi\) |
0.485299 | − | 0.874348i | \(-0.338711\pi\) | |||||||
\(458\) | −1.00000 | −0.0467269 | ||||||||
\(459\) | 15.5885i | 0.727607i | ||||||||
\(460\) | 3.00000 | 0.139876 | ||||||||
\(461\) | −9.50000 | − | 16.4545i | −0.442459 | − | 0.766362i | 0.555412 | − | 0.831575i | \(-0.312560\pi\) |
−0.997871 | + | 0.0652135i | \(0.979227\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −6.50000 | + | 11.2583i | −0.302081 | + | 0.523219i | −0.976607 | − | 0.215032i | \(-0.931015\pi\) |
0.674526 | + | 0.738251i | \(0.264348\pi\) | |||||||
\(464\) | −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 | −0.996449 | − | 0.0841949i | \(-0.973168\pi\) |
0.425310 | − | 0.905048i | \(-0.360165\pi\) | |||||||
\(480\) | 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 | −0.974598 | − | 0.223963i | \(-0.928100\pi\) |
0.681257 | + | 0.732045i | \(0.261434\pi\) | |||||||
\(492\) | − | 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 | 0.276683 | + | 0.960961i | \(0.410765\pi\) |
−0.970558 | + | 0.240866i | \(0.922569\pi\) | |||||||
\(500\) | 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 | −0.342126 | − | 0.939654i | \(-0.611147\pi\) |
0.984827 | − | 0.173537i | \(-0.0555197\pi\) | |||||||
\(510\) | −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 | 0.989490 | + | 0.144604i | \(0.0461907\pi\) |
−0.369514 | + | 0.929225i | \(0.620476\pi\) | |||||||
\(548\) | 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 | −0.404198 | − | 0.914671i | \(-0.632449\pi\) |
0.994228 | − | 0.107290i | \(-0.0342173\pi\) | |||||||
\(564\) | 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 | 0.963849 | + | 0.266450i | \(0.0858508\pi\) |
−0.251172 | + | 0.967943i | \(0.580816\pi\) | |||||||
\(570\) | −1.50000 | − | 0.866025i | −0.0628281 | − | 0.0362738i | ||||
\(571\) | −16.0000 | + | 27.7128i | −0.669579 | + | 1.15975i | 0.308443 | + | 0.951243i | \(0.400192\pi\) |
−0.978022 | + | 0.208502i | \(0.933141\pi\) | |||||||
\(572\) | −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 | 0.940996 | + | 0.338418i | \(0.109892\pi\) |
−0.177419 | + | 0.984135i | \(0.556775\pi\) | |||||||
\(588\) | 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 | −0.509631 | − | 0.860393i | \(-0.670218\pi\) |
0.999938 | + | 0.0111569i | \(0.00355143\pi\) | |||||||
\(600\) | − | 20.7846i | − | 0.848528i | ||||||
\(601\) | 4.50000 | + | 7.79423i | 0.183559 | + | 0.317933i | 0.943090 | − | 0.332538i | \(-0.107905\pi\) |
−0.759531 | + | 0.650471i | \(0.774572\pi\) | |||||||
\(602\) | 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 | −0.855700 | − | 0.517472i | \(-0.826873\pi\) |
0.875994 | + | 0.482322i | \(0.160206\pi\) | |||||||
\(608\) | −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 | 0.455211 | + | 0.890384i | \(0.349564\pi\) |
−0.998700 | + | 0.0509678i | \(0.983769\pi\) | |||||||
\(618\) | −1.50000 | − | 0.866025i | −0.0603388 | − | 0.0348367i | ||||
\(619\) | −12.5000 | − | 21.6506i | −0.502417 | − | 0.870212i | −0.999996 | − | 0.00279365i | \(-0.999111\pi\) |
0.497579 | − | 0.867419i | \(-0.334223\pi\) | |||||||
\(620\) | 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 | 0.941106 | − | 0.338112i | \(-0.109788\pi\) |
−0.763367 | + | 0.645966i | \(0.776455\pi\) | |||||||
\(642\) | − | 29.4449i | − | 1.16210i | ||||||
\(643\) | 9.50000 | − | 16.4545i | 0.374643 | − | 0.648901i | −0.615630 | − | 0.788035i | \(-0.711098\pi\) |
0.990274 | + | 0.139134i | \(0.0444318\pi\) | |||||||
\(644\) | 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 | −0.893882 | − | 0.448303i | \(-0.852029\pi\) |
0.835182 | + | 0.549973i | \(0.185362\pi\) | |||||||
\(654\) | 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 | −0.999545 | − | 0.0301523i | \(-0.990401\pi\) |
0.473660 | − | 0.880708i | \(-0.342933\pi\) | |||||||
\(660\) | −7.50000 | + | 4.33013i | −0.291937 | + | 0.168550i | ||||
\(661\) | 7.00000 | − | 12.1244i | 0.272268 | − | 0.471583i | −0.697174 | − | 0.716902i | \(-0.745559\pi\) |
0.969442 | + | 0.245319i | \(0.0788928\pi\) | |||||||
\(662\) | −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 | 0.997586 | + | 0.0694449i | \(0.0221228\pi\) |
−0.438652 | + | 0.898657i | \(0.644544\pi\) | |||||||
\(674\) | −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 | −0.914867 | − | 0.403755i | \(-0.867705\pi\) |
0.107772 | − | 0.994176i | \(-0.465628\pi\) | |||||||
\(678\) | −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 | 0.999276 | + | 0.0380440i | \(0.0121127\pi\) |
−0.466691 | + | 0.884420i | \(0.654554\pi\) | |||||||
\(692\) | 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 | 0.916845 | − | 0.399244i | \(-0.130727\pi\) |
−0.804178 | + | 0.594389i | \(0.797394\pi\) | |||||||
\(710\) | 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 | −0.860376 | − | 0.509661i | \(-0.829771\pi\) |
−0.0111912 | − | 0.999937i | \(-0.503562\pi\) | |||||||
\(728\) | 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 | −0.999999 | − | 0.00157675i | \(-0.999498\pi\) |
0.501365 | + | 0.865236i | \(0.332831\pi\) | |||||||
\(734\) | 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 | −0.695024 | − | 0.718986i | \(-0.744606\pi\) |
0.970173 | + | 0.242415i | \(0.0779397\pi\) | |||||||
\(744\) | 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 | 0.431390 | + | 0.902165i | \(0.358023\pi\) |
−0.996993 | + | 0.0774878i | \(0.975310\pi\) | |||||||
\(752\) | 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 | −0.999925 | − | 0.0122260i | \(-0.996108\pi\) |
0.510551 | + | 0.859848i | \(0.329442\pi\) | |||||||
\(762\) | 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 | −0.995397 | − | 0.0958377i | \(-0.969447\pi\) |
0.580696 | + | 0.814120i | \(0.302780\pi\) | |||||||
\(770\) | 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 | −0.999999 | − | 0.00110111i | \(-0.999650\pi\) |
0.500953 | + | 0.865474i | \(0.332983\pi\) | |||||||
\(788\) | 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 | −0.994592 | − | 0.103860i | \(-0.966881\pi\) |
0.587241 | + | 0.809412i | \(0.300214\pi\) | |||||||
\(798\) | 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 | 0.607714 | − | 0.794156i | \(-0.292087\pi\) |
−0.991616 | + | 0.129217i | \(0.958754\pi\) | |||||||
\(822\) | 13.5000 | − | 7.79423i | 0.470867 | − | 0.271855i | ||||
\(823\) | 12.0000 | − | 20.7846i | 0.418294 | − | 0.724506i | −0.577474 | − | 0.816409i | \(-0.695962\pi\) |
0.995768 | + | 0.0919029i | \(0.0292950\pi\) | |||||||
\(824\) | −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 | 0.985720 | + | 0.168391i | \(0.0538571\pi\) |
−0.347029 | + | 0.937854i | \(0.612810\pi\) | |||||||
\(840\) | 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 | 0.986846 | + | 0.161664i | \(0.0516860\pi\) |
−0.353418 | + | 0.935466i | \(0.614981\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 3.00000 | 0.102598 | ||||||||
\(856\) | −51.0000 | −1.74314 | ||||||||
\(857\) | −5.50000 | − | 9.52628i | −0.187876 | − | 0.325412i | 0.756666 | − | 0.653802i | \(-0.226827\pi\) |
−0.944542 | + | 0.328391i | \(0.893494\pi\) | |||||||
\(858\) | 43.3013i | 1.47828i | ||||||||
\(859\) | 0.500000 | − | 0.866025i | 0.0170598 | − | 0.0295484i | −0.857369 | − | 0.514701i | \(-0.827903\pi\) |
0.874429 | + | 0.485153i | \(0.161236\pi\) | |||||||
\(860\) | 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 | 0.0608407 | − | 0.998147i | \(-0.480622\pi\) |
0.834001 | − | 0.551763i | \(-0.186045\pi\) | |||||||
\(878\) | 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 | −0.513024 | − | 0.858375i | \(-0.671475\pi\) |
0.999886 | + | 0.0151042i | \(0.00480800\pi\) | |||||||
\(888\) | −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 | 0.821531 | − | 0.570164i | \(-0.193120\pi\) |
−0.904542 | + | 0.426385i | \(0.859787\pi\) | |||||||
\(908\) | 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 | 0.550933 | − | 0.834550i | \(-0.314272\pi\) |
−0.998208 | + | 0.0598468i | \(0.980939\pi\) | |||||||
\(912\) | 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 | 0.957708 | − | 0.287742i | \(-0.0929044\pi\) |
−0.728046 | + | 0.685529i | \(0.759571\pi\) | |||||||
\(930\) | 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 | −0.729079 | − | 0.684429i | \(-0.760051\pi\) |
0.957273 | + | 0.289187i | \(0.0933848\pi\) | |||||||
\(942\) | −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 | 0.981504 | − | 0.191444i | \(-0.0613171\pi\) |
−0.656547 | + | 0.754285i | \(0.727984\pi\) | |||||||
\(948\) | −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 | −0.951408 | − | 0.307933i | \(-0.900363\pi\) |
0.742382 | + | 0.669977i | \(0.233696\pi\) | |||||||
\(968\) | 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 | −0.973317 | − | 0.229465i | \(-0.926302\pi\) |
0.685381 | + | 0.728184i | \(0.259636\pi\) | |||||||
\(978\) | 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 | 0.888955 | − | 0.457995i | \(-0.151432\pi\) |
−0.841112 | + | 0.540860i | \(0.818099\pi\) | |||||||
\(984\) | −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 | 0.968655 | − | 0.248410i | \(-0.0799082\pi\) |
−0.699457 | + | 0.714675i | \(0.746575\pi\) | |||||||
\(998\) | 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 \(a_p\))