Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [882,2,Mod(295,882)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(882, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([4, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("882.295");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 882 = 2 \cdot 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 882.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: | \(7.04280545828\) |
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 126) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 589.1 | ||
Root | \(0.500000 - 0.866025i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 882.589 |
Dual form | 882.2.f.e.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 \(\left(\mathbb{Z}/882\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(785\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{3}\right)\) |
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 | ||||
\(3\) | 1.50000 | + | 0.866025i | 0.866025 | + | 0.500000i | ||||
\(4\) | −0.500000 | + | 0.866025i | −0.250000 | + | 0.433013i | ||||
\(5\) | 1.50000 | − | 2.59808i | 0.670820 | − | 1.16190i | −0.306851 | − | 0.951757i | \(-0.599275\pi\) |
0.977672 | − | 0.210138i | \(-0.0673912\pi\) | |||||||
\(6\) | − | 1.73205i | − | 0.707107i | ||||||
\(7\) | 0 | 0 | ||||||||
\(8\) | 1.00000 | 0.353553 | ||||||||
\(9\) | 1.50000 | + | 2.59808i | 0.500000 | + | 0.866025i | ||||
\(10\) | −3.00000 | −0.948683 | ||||||||
\(11\) | 1.50000 | + | 2.59808i | 0.452267 | + | 0.783349i | 0.998526 | − | 0.0542666i | \(-0.0172821\pi\) |
−0.546259 | + | 0.837616i | \(0.683949\pi\) | |||||||
\(12\) | −1.50000 | + | 0.866025i | −0.433013 | + | 0.250000i | ||||
\(13\) | −2.50000 | + | 4.33013i | −0.693375 | + | 1.20096i | 0.277350 | + | 0.960769i | \(0.410544\pi\) |
−0.970725 | + | 0.240192i | \(0.922790\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 4.50000 | − | 2.59808i | 1.16190 | − | 0.670820i | ||||
\(16\) | −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 | ||||
\(19\) | 5.00000 | 1.14708 | 0.573539 | − | 0.819178i | \(-0.305570\pi\) | ||||
0.573539 | + | 0.819178i | \(0.305570\pi\) | |||||||
\(20\) | 1.50000 | + | 2.59808i | 0.335410 | + | 0.580948i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 1.50000 | − | 2.59808i | 0.319801 | − | 0.553912i | ||||
\(23\) | 1.50000 | − | 2.59808i | 0.312772 | − | 0.541736i | −0.666190 | − | 0.745782i | \(-0.732076\pi\) |
0.978961 | + | 0.204046i | \(0.0654092\pi\) | |||||||
\(24\) | 1.50000 | + | 0.866025i | 0.306186 | + | 0.176777i | ||||
\(25\) | −2.00000 | − | 3.46410i | −0.400000 | − | 0.692820i | ||||
\(26\) | 5.00000 | 0.980581 | ||||||||
\(27\) | 5.19615i | 1.00000i | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 1.50000 | + | 2.59808i | 0.278543 | + | 0.482451i | 0.971023 | − | 0.238987i | \(-0.0768152\pi\) |
−0.692480 | + | 0.721437i | \(0.743482\pi\) | |||||||
\(30\) | −4.50000 | − | 2.59808i | −0.821584 | − | 0.474342i | ||||
\(31\) | 2.00000 | − | 3.46410i | 0.359211 | − | 0.622171i | −0.628619 | − | 0.777714i | \(-0.716379\pi\) |
0.987829 | + | 0.155543i | \(0.0497126\pi\) | |||||||
\(32\) | −0.500000 | + | 0.866025i | −0.0883883 | + | 0.153093i | ||||
\(33\) | 5.19615i | 0.904534i | ||||||||
\(34\) | −1.50000 | − | 2.59808i | −0.257248 | − | 0.445566i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | −3.00000 | −0.500000 | ||||||||
\(37\) | −7.00000 | −1.15079 | −0.575396 | − | 0.817875i | \(-0.695152\pi\) | ||||
−0.575396 | + | 0.817875i | \(0.695152\pi\) | |||||||
\(38\) | −2.50000 | − | 4.33013i | −0.405554 | − | 0.702439i | ||||
\(39\) | −7.50000 | + | 4.33013i | −1.20096 | + | 0.693375i | ||||
\(40\) | 1.50000 | − | 2.59808i | 0.237171 | − | 0.410792i | ||||
\(41\) | 4.50000 | − | 7.79423i | 0.702782 | − | 1.21725i | −0.264704 | − | 0.964330i | \(-0.585274\pi\) |
0.967486 | − | 0.252924i | \(-0.0813924\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −5.50000 | − | 9.52628i | −0.838742 | − | 1.45274i | −0.890947 | − | 0.454108i | \(-0.849958\pi\) |
0.0522047 | − | 0.998636i | \(-0.483375\pi\) | |||||||
\(44\) | −3.00000 | −0.452267 | ||||||||
\(45\) | 9.00000 | 1.34164 | ||||||||
\(46\) | −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 | ||||
\(53\) | −3.00000 | −0.412082 | −0.206041 | − | 0.978543i | \(-0.566058\pi\) | ||||
−0.206041 | + | 0.978543i | \(0.566058\pi\) | |||||||
\(54\) | 4.50000 | − | 2.59808i | 0.612372 | − | 0.353553i | ||||
\(55\) | 9.00000 | 1.21356 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 7.50000 | + | 4.33013i | 0.993399 | + | 0.573539i | ||||
\(58\) | 1.50000 | − | 2.59808i | 0.196960 | − | 0.341144i | ||||
\(59\) | −6.00000 | + | 10.3923i | −0.781133 | + | 1.35296i | 0.150148 | + | 0.988663i | \(0.452025\pi\) |
−0.931282 | + | 0.364299i | \(0.881308\pi\) | |||||||
\(60\) | 5.19615i | 0.670820i | ||||||||
\(61\) | −1.00000 | − | 1.73205i | −0.128037 | − | 0.221766i | 0.794879 | − | 0.606768i | \(-0.207534\pi\) |
−0.922916 | + | 0.385002i | \(0.874201\pi\) | |||||||
\(62\) | −4.00000 | −0.508001 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 1.00000 | 0.125000 | ||||||||
\(65\) | 7.50000 | + | 12.9904i | 0.930261 | + | 1.61126i | ||||
\(66\) | 4.50000 | − | 2.59808i | 0.553912 | − | 0.319801i | ||||
\(67\) | 2.00000 | − | 3.46410i | 0.244339 | − | 0.423207i | −0.717607 | − | 0.696449i | \(-0.754762\pi\) |
0.961946 | + | 0.273241i | \(0.0880957\pi\) | |||||||
\(68\) | −1.50000 | + | 2.59808i | −0.181902 | + | 0.315063i | ||||
\(69\) | 4.50000 | − | 2.59808i | 0.541736 | − | 0.312772i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(72\) | 1.50000 | + | 2.59808i | 0.176777 | + | 0.306186i | ||||
\(73\) | 11.0000 | 1.28745 | 0.643726 | − | 0.765256i | \(-0.277388\pi\) | ||||
0.643726 | + | 0.765256i | \(0.277388\pi\) | |||||||
\(74\) | 3.50000 | + | 6.06218i | 0.406867 | + | 0.704714i | ||||
\(75\) | − | 6.92820i | − | 0.800000i | ||||||
\(76\) | −2.50000 | + | 4.33013i | −0.286770 | + | 0.496700i | ||||
\(77\) | 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 | \(0.981922\pi\) | |||||||
\(80\) | −3.00000 | −0.335410 | ||||||||
\(81\) | −4.50000 | + | 7.79423i | −0.500000 | + | 0.866025i | ||||
\(82\) | −9.00000 | −0.993884 | ||||||||
\(83\) | −1.50000 | − | 2.59808i | −0.164646 | − | 0.285176i | 0.771883 | − | 0.635764i | \(-0.219315\pi\) |
−0.936530 | + | 0.350588i | \(0.885982\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 4.50000 | − | 7.79423i | 0.488094 | − | 0.845403i | ||||
\(86\) | −5.50000 | + | 9.52628i | −0.593080 | + | 1.02725i | ||||
\(87\) | 5.19615i | 0.557086i | ||||||||
\(88\) | 1.50000 | + | 2.59808i | 0.159901 | + | 0.276956i | ||||
\(89\) | 15.0000 | 1.59000 | 0.794998 | − | 0.606612i | \(-0.207472\pi\) | ||||
0.794998 | + | 0.606612i | \(0.207472\pi\) | |||||||
\(90\) | −4.50000 | − | 7.79423i | −0.474342 | − | 0.821584i | ||||
\(91\) | 0 | 0 | ||||||||
\(92\) | 1.50000 | + | 2.59808i | 0.156386 | + | 0.270868i | ||||
\(93\) | 6.00000 | − | 3.46410i | 0.622171 | − | 0.359211i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 7.50000 | − | 12.9904i | 0.769484 | − | 1.33278i | ||||
\(96\) | −1.50000 | + | 0.866025i | −0.153093 | + | 0.0883883i | ||||
\(97\) | 0.500000 | + | 0.866025i | 0.0507673 | + | 0.0879316i | 0.890292 | − | 0.455389i | \(-0.150500\pi\) |
−0.839525 | + | 0.543321i | \(0.817167\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −4.50000 | + | 7.79423i | −0.452267 | + | 0.783349i | ||||
\(100\) | 4.00000 | 0.400000 | ||||||||
\(101\) | 1.50000 | + | 2.59808i | 0.149256 | + | 0.258518i | 0.930953 | − | 0.365140i | \(-0.118979\pi\) |
−0.781697 | + | 0.623658i | \(0.785646\pi\) | |||||||
\(102\) | − | 5.19615i | − | 0.514496i | ||||||
\(103\) | −2.50000 | + | 4.33013i | −0.246332 | + | 0.426660i | −0.962505 | − | 0.271263i | \(-0.912559\pi\) |
0.716173 | + | 0.697923i | \(0.245892\pi\) | |||||||
\(104\) | −2.50000 | + | 4.33013i | −0.245145 | + | 0.424604i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 1.50000 | + | 2.59808i | 0.145693 | + | 0.252347i | ||||
\(107\) | −15.0000 | −1.45010 | −0.725052 | − | 0.688694i | \(-0.758184\pi\) | ||||
−0.725052 | + | 0.688694i | \(0.758184\pi\) | |||||||
\(108\) | −4.50000 | − | 2.59808i | −0.433013 | − | 0.250000i | ||||
\(109\) | −7.00000 | −0.670478 | −0.335239 | − | 0.942133i | \(-0.608817\pi\) | ||||
−0.335239 | + | 0.942133i | \(0.608817\pi\) | |||||||
\(110\) | −4.50000 | − | 7.79423i | −0.429058 | − | 0.743151i | ||||
\(111\) | −10.5000 | − | 6.06218i | −0.996616 | − | 0.575396i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −7.50000 | + | 12.9904i | −0.705541 | + | 1.22203i | 0.260955 | + | 0.965351i | \(0.415962\pi\) |
−0.966496 | + | 0.256681i | \(0.917371\pi\) | |||||||
\(114\) | − | 8.66025i | − | 0.811107i | ||||||
\(115\) | −4.50000 | − | 7.79423i | −0.419627 | − | 0.726816i | ||||
\(116\) | −3.00000 | −0.278543 | ||||||||
\(117\) | −15.0000 | −1.38675 | ||||||||
\(118\) | 12.0000 | 1.10469 | ||||||||
\(119\) | 0 | 0 | ||||||||
\(120\) | 4.50000 | − | 2.59808i | 0.410792 | − | 0.237171i | ||||
\(121\) | 1.00000 | − | 1.73205i | 0.0909091 | − | 0.157459i | ||||
\(122\) | −1.00000 | + | 1.73205i | −0.0905357 | + | 0.156813i | ||||
\(123\) | 13.5000 | − | 7.79423i | 1.21725 | − | 0.702782i | ||||
\(124\) | 2.00000 | + | 3.46410i | 0.179605 | + | 0.311086i | ||||
\(125\) | 3.00000 | 0.268328 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −16.0000 | −1.41977 | −0.709885 | − | 0.704317i | \(-0.751253\pi\) | ||||
−0.709885 | + | 0.704317i | \(0.751253\pi\) | |||||||
\(128\) | −0.500000 | − | 0.866025i | −0.0441942 | − | 0.0765466i | ||||
\(129\) | − | 19.0526i | − | 1.67748i | ||||||
\(130\) | 7.50000 | − | 12.9904i | 0.657794 | − | 1.13933i | ||||
\(131\) | −1.50000 | + | 2.59808i | −0.131056 | + | 0.226995i | −0.924084 | − | 0.382190i | \(-0.875170\pi\) |
0.793028 | + | 0.609185i | \(0.208503\pi\) | |||||||
\(132\) | −4.50000 | − | 2.59808i | −0.391675 | − | 0.226134i | ||||
\(133\) | 0 | 0 | ||||||||
\(134\) | −4.00000 | −0.345547 | ||||||||
\(135\) | 13.5000 | + | 7.79423i | 1.16190 | + | 0.670820i | ||||
\(136\) | 3.00000 | 0.257248 | ||||||||
\(137\) | −1.50000 | − | 2.59808i | −0.128154 | − | 0.221969i | 0.794808 | − | 0.606861i | \(-0.207572\pi\) |
−0.922961 | + | 0.384893i | \(0.874238\pi\) | |||||||
\(138\) | −4.50000 | − | 2.59808i | −0.383065 | − | 0.221163i | ||||
\(139\) | −2.50000 | + | 4.33013i | −0.212047 | + | 0.367277i | −0.952355 | − | 0.304991i | \(-0.901346\pi\) |
0.740308 | + | 0.672268i | \(0.234680\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 0 | 0 | ||||||||
\(143\) | −15.0000 | −1.25436 | ||||||||
\(144\) | 1.50000 | − | 2.59808i | 0.125000 | − | 0.216506i | ||||
\(145\) | 9.00000 | 0.747409 | ||||||||
\(146\) | −5.50000 | − | 9.52628i | −0.455183 | − | 0.788400i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 3.50000 | − | 6.06218i | 0.287698 | − | 0.498308i | ||||
\(149\) | 1.50000 | − | 2.59808i | 0.122885 | − | 0.212843i | −0.798019 | − | 0.602632i | \(-0.794119\pi\) |
0.920904 | + | 0.389789i | \(0.127452\pi\) | |||||||
\(150\) | −6.00000 | + | 3.46410i | −0.489898 | + | 0.282843i | ||||
\(151\) | −5.50000 | − | 9.52628i | −0.447584 | − | 0.775238i | 0.550645 | − | 0.834740i | \(-0.314382\pi\) |
−0.998228 | + | 0.0595022i | \(0.981049\pi\) | |||||||
\(152\) | 5.00000 | 0.405554 | ||||||||
\(153\) | 4.50000 | + | 7.79423i | 0.363803 | + | 0.630126i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −6.00000 | − | 10.3923i | −0.481932 | − | 0.834730i | ||||
\(156\) | − | 8.66025i | − | 0.693375i | ||||||
\(157\) | −7.00000 | + | 12.1244i | −0.558661 | + | 0.967629i | 0.438948 | + | 0.898513i | \(0.355351\pi\) |
−0.997609 | + | 0.0691164i | \(0.977982\pi\) | |||||||
\(158\) | −4.00000 | + | 6.92820i | −0.318223 | + | 0.551178i | ||||
\(159\) | −4.50000 | − | 2.59808i | −0.356873 | − | 0.206041i | ||||
\(160\) | 1.50000 | + | 2.59808i | 0.118585 | + | 0.205396i | ||||
\(161\) | 0 | 0 | ||||||||
\(162\) | 9.00000 | 0.707107 | ||||||||
\(163\) | 17.0000 | 1.33154 | 0.665771 | − | 0.746156i | \(-0.268103\pi\) | ||||
0.665771 | + | 0.746156i | \(0.268103\pi\) | |||||||
\(164\) | 4.50000 | + | 7.79423i | 0.351391 | + | 0.608627i | ||||
\(165\) | 13.5000 | + | 7.79423i | 1.05097 | + | 0.606780i | ||||
\(166\) | −1.50000 | + | 2.59808i | −0.116423 | + | 0.201650i | ||||
\(167\) | −1.50000 | + | 2.59808i | −0.116073 | + | 0.201045i | −0.918208 | − | 0.396098i | \(-0.870364\pi\) |
0.802135 | + | 0.597143i | \(0.203697\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −6.00000 | − | 10.3923i | −0.461538 | − | 0.799408i | ||||
\(170\) | −9.00000 | −0.690268 | ||||||||
\(171\) | 7.50000 | + | 12.9904i | 0.573539 | + | 0.993399i | ||||
\(172\) | 11.0000 | 0.838742 | ||||||||
\(173\) | −3.00000 | − | 5.19615i | −0.228086 | − | 0.395056i | 0.729155 | − | 0.684349i | \(-0.239913\pi\) |
−0.957241 | + | 0.289292i | \(0.906580\pi\) | |||||||
\(174\) | 4.50000 | − | 2.59808i | 0.341144 | − | 0.196960i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 1.50000 | − | 2.59808i | 0.113067 | − | 0.195837i | ||||
\(177\) | −18.0000 | + | 10.3923i | −1.35296 | + | 0.781133i | ||||
\(178\) | −7.50000 | − | 12.9904i | −0.562149 | − | 0.973670i | ||||
\(179\) | 3.00000 | 0.224231 | 0.112115 | − | 0.993695i | \(-0.464237\pi\) | ||||
0.112115 | + | 0.993695i | \(0.464237\pi\) | |||||||
\(180\) | −4.50000 | + | 7.79423i | −0.335410 | + | 0.580948i | ||||
\(181\) | −10.0000 | −0.743294 | −0.371647 | − | 0.928374i | \(-0.621207\pi\) | ||||
−0.371647 | + | 0.928374i | \(0.621207\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | − | 3.46410i | − | 0.256074i | ||||||
\(184\) | 1.50000 | − | 2.59808i | 0.110581 | − | 0.191533i | ||||
\(185\) | −10.5000 | + | 18.1865i | −0.771975 | + | 1.33710i | ||||
\(186\) | −6.00000 | − | 3.46410i | −0.439941 | − | 0.254000i | ||||
\(187\) | 4.50000 | + | 7.79423i | 0.329073 | + | 0.569970i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −15.0000 | −1.08821 | ||||||||
\(191\) | −6.00000 | − | 10.3923i | −0.434145 | − | 0.751961i | 0.563081 | − | 0.826402i | \(-0.309616\pi\) |
−0.997225 | + | 0.0744412i | \(0.976283\pi\) | |||||||
\(192\) | 1.50000 | + | 0.866025i | 0.108253 | + | 0.0625000i | ||||
\(193\) | −7.00000 | + | 12.1244i | −0.503871 | + | 0.872730i | 0.496119 | + | 0.868255i | \(0.334758\pi\) |
−0.999990 | + | 0.00447566i | \(0.998575\pi\) | |||||||
\(194\) | 0.500000 | − | 0.866025i | 0.0358979 | − | 0.0621770i | ||||
\(195\) | 25.9808i | 1.86052i | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −6.00000 | −0.427482 | −0.213741 | − | 0.976890i | \(-0.568565\pi\) | ||||
−0.213741 | + | 0.976890i | \(0.568565\pi\) | |||||||
\(198\) | 9.00000 | 0.639602 | ||||||||
\(199\) | −7.00000 | −0.496217 | −0.248108 | − | 0.968732i | \(-0.579809\pi\) | ||||
−0.248108 | + | 0.968732i | \(0.579809\pi\) | |||||||
\(200\) | −2.00000 | − | 3.46410i | −0.141421 | − | 0.244949i | ||||
\(201\) | 6.00000 | − | 3.46410i | 0.423207 | − | 0.244339i | ||||
\(202\) | 1.50000 | − | 2.59808i | 0.105540 | − | 0.182800i | ||||
\(203\) | 0 | 0 | ||||||||
\(204\) | −4.50000 | + | 2.59808i | −0.315063 | + | 0.181902i | ||||
\(205\) | −13.5000 | − | 23.3827i | −0.942881 | − | 1.63312i | ||||
\(206\) | 5.00000 | 0.348367 | ||||||||
\(207\) | 9.00000 | 0.625543 | ||||||||
\(208\) | 5.00000 | 0.346688 | ||||||||
\(209\) | 7.50000 | + | 12.9904i | 0.518786 | + | 0.898563i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −2.50000 | + | 4.33013i | −0.172107 | + | 0.298098i | −0.939156 | − | 0.343490i | \(-0.888391\pi\) |
0.767049 | + | 0.641588i | \(0.221724\pi\) | |||||||
\(212\) | 1.50000 | − | 2.59808i | 0.103020 | − | 0.178437i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 7.50000 | + | 12.9904i | 0.512689 | + | 0.888004i | ||||
\(215\) | −33.0000 | −2.25058 | ||||||||
\(216\) | 5.19615i | 0.353553i | ||||||||
\(217\) | 0 | 0 | ||||||||
\(218\) | 3.50000 | + | 6.06218i | 0.237050 | + | 0.410582i | ||||
\(219\) | 16.5000 | + | 9.52628i | 1.11497 | + | 0.643726i | ||||
\(220\) | −4.50000 | + | 7.79423i | −0.303390 | + | 0.525487i | ||||
\(221\) | −7.50000 | + | 12.9904i | −0.504505 | + | 0.873828i | ||||
\(222\) | 12.1244i | 0.813733i | ||||||||
\(223\) | −8.50000 | − | 14.7224i | −0.569202 | − | 0.985887i | −0.996645 | − | 0.0818447i | \(-0.973919\pi\) |
0.427443 | − | 0.904042i | \(-0.359414\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 6.00000 | − | 10.3923i | 0.400000 | − | 0.692820i | ||||
\(226\) | 15.0000 | 0.997785 | ||||||||
\(227\) | −4.50000 | − | 7.79423i | −0.298675 | − | 0.517321i | 0.677158 | − | 0.735838i | \(-0.263211\pi\) |
−0.975833 | + | 0.218517i | \(0.929878\pi\) | |||||||
\(228\) | −7.50000 | + | 4.33013i | −0.496700 | + | 0.286770i | ||||
\(229\) | −8.50000 | + | 14.7224i | −0.561696 | + | 0.972886i | 0.435653 | + | 0.900115i | \(0.356518\pi\) |
−0.997349 | + | 0.0727709i | \(0.976816\pi\) | |||||||
\(230\) | −4.50000 | + | 7.79423i | −0.296721 | + | 0.513936i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 1.50000 | + | 2.59808i | 0.0984798 | + | 0.170572i | ||||
\(233\) | 27.0000 | 1.76883 | 0.884414 | − | 0.466702i | \(-0.154558\pi\) | ||||
0.884414 | + | 0.466702i | \(0.154558\pi\) | |||||||
\(234\) | 7.50000 | + | 12.9904i | 0.490290 | + | 0.849208i | ||||
\(235\) | 0 | 0 | ||||||||
\(236\) | −6.00000 | − | 10.3923i | −0.390567 | − | 0.676481i | ||||
\(237\) | − | 13.8564i | − | 0.900070i | ||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −13.5000 | + | 23.3827i | −0.873242 | + | 1.51250i | −0.0146191 | + | 0.999893i | \(0.504654\pi\) |
−0.858623 | + | 0.512607i | \(0.828680\pi\) | |||||||
\(240\) | −4.50000 | − | 2.59808i | −0.290474 | − | 0.167705i | ||||
\(241\) | −11.5000 | − | 19.9186i | −0.740780 | − | 1.28307i | −0.952141 | − | 0.305661i | \(-0.901123\pi\) |
0.211360 | − | 0.977408i | \(-0.432211\pi\) | |||||||
\(242\) | −2.00000 | −0.128565 | ||||||||
\(243\) | −13.5000 | + | 7.79423i | −0.866025 | + | 0.500000i | ||||
\(244\) | 2.00000 | 0.128037 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | −13.5000 | − | 7.79423i | −0.860729 | − | 0.496942i | ||||
\(247\) | −12.5000 | + | 21.6506i | −0.795356 | + | 1.37760i | ||||
\(248\) | 2.00000 | − | 3.46410i | 0.127000 | − | 0.219971i | ||||
\(249\) | − | 5.19615i | − | 0.329293i | ||||||
\(250\) | −1.50000 | − | 2.59808i | −0.0948683 | − | 0.164317i | ||||
\(251\) | 12.0000 | 0.757433 | 0.378717 | − | 0.925513i | \(-0.376365\pi\) | ||||
0.378717 | + | 0.925513i | \(0.376365\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 9.00000 | 0.565825 | ||||||||
\(254\) | 8.00000 | + | 13.8564i | 0.501965 | + | 0.869428i | ||||
\(255\) | 13.5000 | − | 7.79423i | 0.845403 | − | 0.488094i | ||||
\(256\) | −0.500000 | + | 0.866025i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | −7.50000 | + | 12.9904i | −0.467837 | + | 0.810318i | −0.999325 | − | 0.0367485i | \(-0.988300\pi\) |
0.531487 | + | 0.847066i | \(0.321633\pi\) | |||||||
\(258\) | −16.5000 | + | 9.52628i | −1.02725 | + | 0.593080i | ||||
\(259\) | 0 | 0 | ||||||||
\(260\) | −15.0000 | −0.930261 | ||||||||
\(261\) | −4.50000 | + | 7.79423i | −0.278543 | + | 0.482451i | ||||
\(262\) | 3.00000 | 0.185341 | ||||||||
\(263\) | 4.50000 | + | 7.79423i | 0.277482 | + | 0.480613i | 0.970758 | − | 0.240059i | \(-0.0771668\pi\) |
−0.693276 | + | 0.720672i | \(0.743833\pi\) | |||||||
\(264\) | 5.19615i | 0.319801i | ||||||||
\(265\) | −4.50000 | + | 7.79423i | −0.276433 | + | 0.478796i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 22.5000 | + | 12.9904i | 1.37698 | + | 0.794998i | ||||
\(268\) | 2.00000 | + | 3.46410i | 0.122169 | + | 0.211604i | ||||
\(269\) | 21.0000 | 1.28039 | 0.640196 | − | 0.768211i | \(-0.278853\pi\) | ||||
0.640196 | + | 0.768211i | \(0.278853\pi\) | |||||||
\(270\) | − | 15.5885i | − | 0.948683i | ||||||
\(271\) | −13.0000 | −0.789694 | −0.394847 | − | 0.918747i | \(-0.629202\pi\) | ||||
−0.394847 | + | 0.918747i | \(0.629202\pi\) | |||||||
\(272\) | −1.50000 | − | 2.59808i | −0.0909509 | − | 0.157532i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −1.50000 | + | 2.59808i | −0.0906183 | + | 0.156956i | ||||
\(275\) | 6.00000 | − | 10.3923i | 0.361814 | − | 0.626680i | ||||
\(276\) | 5.19615i | 0.312772i | ||||||||
\(277\) | 3.50000 | + | 6.06218i | 0.210295 | + | 0.364241i | 0.951807 | − | 0.306699i | \(-0.0992243\pi\) |
−0.741512 | + | 0.670940i | \(0.765891\pi\) | |||||||
\(278\) | 5.00000 | 0.299880 | ||||||||
\(279\) | 12.0000 | 0.718421 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −1.50000 | − | 2.59808i | −0.0894825 | − | 0.154988i | 0.817810 | − | 0.575488i | \(-0.195188\pi\) |
−0.907293 | + | 0.420500i | \(0.861855\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −4.00000 | + | 6.92820i | −0.237775 | + | 0.411839i | −0.960076 | − | 0.279741i | \(-0.909752\pi\) |
0.722300 | + | 0.691580i | \(0.243085\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 22.5000 | − | 12.9904i | 1.33278 | − | 0.769484i | ||||
\(286\) | 7.50000 | + | 12.9904i | 0.443484 | + | 0.768137i | ||||
\(287\) | 0 | 0 | ||||||||
\(288\) | −3.00000 | −0.176777 | ||||||||
\(289\) | −8.00000 | −0.470588 | ||||||||
\(290\) | −4.50000 | − | 7.79423i | −0.264249 | − | 0.457693i | ||||
\(291\) | 1.73205i | 0.101535i | ||||||||
\(292\) | −5.50000 | + | 9.52628i | −0.321863 | + | 0.557483i | ||||
\(293\) | 13.5000 | − | 23.3827i | 0.788678 | − | 1.36603i | −0.138098 | − | 0.990419i | \(-0.544099\pi\) |
0.926777 | − | 0.375613i | \(-0.122568\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 18.0000 | + | 31.1769i | 1.04800 | + | 1.81519i | ||||
\(296\) | −7.00000 | −0.406867 | ||||||||
\(297\) | −13.5000 | + | 7.79423i | −0.783349 | + | 0.452267i | ||||
\(298\) | −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 | ||||||||
\(302\) | −5.50000 | + | 9.52628i | −0.316489 | + | 0.548176i | ||||
\(303\) | 5.19615i | 0.298511i | ||||||||
\(304\) | −2.50000 | − | 4.33013i | −0.143385 | − | 0.248350i | ||||
\(305\) | −6.00000 | −0.343559 | ||||||||
\(306\) | 4.50000 | − | 7.79423i | 0.257248 | − | 0.445566i | ||||
\(307\) | −28.0000 | −1.59804 | −0.799022 | − | 0.601302i | \(-0.794649\pi\) | ||||
−0.799022 | + | 0.601302i | \(0.794649\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −7.50000 | + | 4.33013i | −0.426660 | + | 0.246332i | ||||
\(310\) | −6.00000 | + | 10.3923i | −0.340777 | + | 0.590243i | ||||
\(311\) | 12.0000 | − | 20.7846i | 0.680458 | − | 1.17859i | −0.294384 | − | 0.955687i | \(-0.595114\pi\) |
0.974841 | − | 0.222900i | \(-0.0715523\pi\) | |||||||
\(312\) | −7.50000 | + | 4.33013i | −0.424604 | + | 0.245145i | ||||
\(313\) | −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 | ||||||||
\(317\) | −15.0000 | − | 25.9808i | −0.842484 | − | 1.45922i | −0.887788 | − | 0.460252i | \(-0.847759\pi\) |
0.0453045 | − | 0.998973i | \(-0.485574\pi\) | |||||||
\(318\) | 5.19615i | 0.291386i | ||||||||
\(319\) | −4.50000 | + | 7.79423i | −0.251952 | + | 0.436393i | ||||
\(320\) | 1.50000 | − | 2.59808i | 0.0838525 | − | 0.145237i | ||||
\(321\) | −22.5000 | − | 12.9904i | −1.25583 | − | 0.725052i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 15.0000 | 0.834622 | ||||||||
\(324\) | −4.50000 | − | 7.79423i | −0.250000 | − | 0.433013i | ||||
\(325\) | 20.0000 | 1.10940 | ||||||||
\(326\) | −8.50000 | − | 14.7224i | −0.470771 | − | 0.815400i | ||||
\(327\) | −10.5000 | − | 6.06218i | −0.580651 | − | 0.335239i | ||||
\(328\) | 4.50000 | − | 7.79423i | 0.248471 | − | 0.430364i | ||||
\(329\) | 0 | 0 | ||||||||
\(330\) | − | 15.5885i | − | 0.858116i | ||||||
\(331\) | −10.0000 | − | 17.3205i | −0.549650 | − | 0.952021i | −0.998298 | − | 0.0583130i | \(-0.981428\pi\) |
0.448649 | − | 0.893708i | \(-0.351905\pi\) | |||||||
\(332\) | 3.00000 | 0.164646 | ||||||||
\(333\) | −10.5000 | − | 18.1865i | −0.575396 | − | 0.996616i | ||||
\(334\) | 3.00000 | 0.164153 | ||||||||
\(335\) | −6.00000 | − | 10.3923i | −0.327815 | − | 0.567792i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 12.5000 | − | 21.6506i | 0.680918 | − | 1.17939i | −0.293783 | − | 0.955872i | \(-0.594914\pi\) |
0.974701 | − | 0.223513i | \(-0.0717525\pi\) | |||||||
\(338\) | −6.00000 | + | 10.3923i | −0.326357 | + | 0.565267i | ||||
\(339\) | −22.5000 | + | 12.9904i | −1.22203 | + | 0.705541i | ||||
\(340\) | 4.50000 | + | 7.79423i | 0.244047 | + | 0.422701i | ||||
\(341\) | 12.0000 | 0.649836 | ||||||||
\(342\) | 7.50000 | − | 12.9904i | 0.405554 | − | 0.702439i | ||||
\(343\) | 0 | 0 | ||||||||
\(344\) | −5.50000 | − | 9.52628i | −0.296540 | − | 0.513623i | ||||
\(345\) | − | 15.5885i | − | 0.839254i | ||||||
\(346\) | −3.00000 | + | 5.19615i | −0.161281 | + | 0.279347i | ||||
\(347\) | 6.00000 | − | 10.3923i | 0.322097 | − | 0.557888i | −0.658824 | − | 0.752297i | \(-0.728946\pi\) |
0.980921 | + | 0.194409i | \(0.0622790\pi\) | |||||||
\(348\) | −4.50000 | − | 2.59808i | −0.241225 | − | 0.139272i | ||||
\(349\) | −2.50000 | − | 4.33013i | −0.133822 | − | 0.231786i | 0.791325 | − | 0.611396i | \(-0.209392\pi\) |
−0.925147 | + | 0.379610i | \(0.876058\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −22.5000 | − | 12.9904i | −1.20096 | − | 0.693375i | ||||
\(352\) | −3.00000 | −0.159901 | ||||||||
\(353\) | 4.50000 | + | 7.79423i | 0.239511 | + | 0.414845i | 0.960574 | − | 0.278024i | \(-0.0896796\pi\) |
−0.721063 | + | 0.692869i | \(0.756346\pi\) | |||||||
\(354\) | 18.0000 | + | 10.3923i | 0.956689 | + | 0.552345i | ||||
\(355\) | 0 | 0 | ||||||||
\(356\) | −7.50000 | + | 12.9904i | −0.397499 | + | 0.688489i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −1.50000 | − | 2.59808i | −0.0792775 | − | 0.137313i | ||||
\(359\) | 15.0000 | 0.791670 | 0.395835 | − | 0.918322i | \(-0.370455\pi\) | ||||
0.395835 | + | 0.918322i | \(0.370455\pi\) | |||||||
\(360\) | 9.00000 | 0.474342 | ||||||||
\(361\) | 6.00000 | 0.315789 | ||||||||
\(362\) | 5.00000 | + | 8.66025i | 0.262794 | + | 0.455173i | ||||
\(363\) | 3.00000 | − | 1.73205i | 0.157459 | − | 0.0909091i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 16.5000 | − | 28.5788i | 0.863649 | − | 1.49588i | ||||
\(366\) | −3.00000 | + | 1.73205i | −0.156813 | + | 0.0905357i | ||||
\(367\) | 0.500000 | + | 0.866025i | 0.0260998 | + | 0.0452062i | 0.878780 | − | 0.477227i | \(-0.158358\pi\) |
−0.852680 | + | 0.522433i | \(0.825025\pi\) | |||||||
\(368\) | −3.00000 | −0.156386 | ||||||||
\(369\) | 27.0000 | 1.40556 | ||||||||
\(370\) | 21.0000 | 1.09174 | ||||||||
\(371\) | 0 | 0 | ||||||||
\(372\) | 6.92820i | 0.359211i | ||||||||
\(373\) | −8.50000 | + | 14.7224i | −0.440113 | + | 0.762299i | −0.997697 | − | 0.0678218i | \(-0.978395\pi\) |
0.557584 | + | 0.830120i | \(0.311728\pi\) | |||||||
\(374\) | 4.50000 | − | 7.79423i | 0.232689 | − | 0.403030i | ||||
\(375\) | 4.50000 | + | 2.59808i | 0.232379 | + | 0.134164i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −15.0000 | −0.772539 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −16.0000 | −0.821865 | −0.410932 | − | 0.911666i | \(-0.634797\pi\) | ||||
−0.410932 | + | 0.911666i | \(0.634797\pi\) | |||||||
\(380\) | 7.50000 | + | 12.9904i | 0.384742 | + | 0.666392i | ||||
\(381\) | −24.0000 | − | 13.8564i | −1.22956 | − | 0.709885i | ||||
\(382\) | −6.00000 | + | 10.3923i | −0.306987 | + | 0.531717i | ||||
\(383\) | 7.50000 | − | 12.9904i | 0.383232 | − | 0.663777i | −0.608290 | − | 0.793715i | \(-0.708144\pi\) |
0.991522 | + | 0.129937i | \(0.0414776\pi\) | |||||||
\(384\) | − | 1.73205i | − | 0.0883883i | ||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 14.0000 | 0.712581 | ||||||||
\(387\) | 16.5000 | − | 28.5788i | 0.838742 | − | 1.45274i | ||||
\(388\) | −1.00000 | −0.0507673 | ||||||||
\(389\) | −4.50000 | − | 7.79423i | −0.228159 | − | 0.395183i | 0.729103 | − | 0.684403i | \(-0.239937\pi\) |
−0.957263 | + | 0.289220i | \(0.906604\pi\) | |||||||
\(390\) | 22.5000 | − | 12.9904i | 1.13933 | − | 0.657794i | ||||
\(391\) | 4.50000 | − | 7.79423i | 0.227575 | − | 0.394171i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −4.50000 | + | 2.59808i | −0.226995 | + | 0.131056i | ||||
\(394\) | 3.00000 | + | 5.19615i | 0.151138 | + | 0.261778i | ||||
\(395\) | −24.0000 | −1.20757 | ||||||||
\(396\) | −4.50000 | − | 7.79423i | −0.226134 | − | 0.391675i | ||||
\(397\) | 29.0000 | 1.45547 | 0.727734 | − | 0.685859i | \(-0.240573\pi\) | ||||
0.727734 | + | 0.685859i | \(0.240573\pi\) | |||||||
\(398\) | 3.50000 | + | 6.06218i | 0.175439 | + | 0.303870i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −2.00000 | + | 3.46410i | −0.100000 | + | 0.173205i | ||||
\(401\) | −13.5000 | + | 23.3827i | −0.674158 | + | 1.16768i | 0.302556 | + | 0.953131i | \(0.402160\pi\) |
−0.976714 | + | 0.214544i | \(0.931173\pi\) | |||||||
\(402\) | −6.00000 | − | 3.46410i | −0.299253 | − | 0.172774i | ||||
\(403\) | 10.0000 | + | 17.3205i | 0.498135 | + | 0.862796i | ||||
\(404\) | −3.00000 | −0.149256 | ||||||||
\(405\) | 13.5000 | + | 23.3827i | 0.670820 | + | 1.16190i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −10.5000 | − | 18.1865i | −0.520466 | − | 0.901473i | ||||
\(408\) | 4.50000 | + | 2.59808i | 0.222783 | + | 0.128624i | ||||
\(409\) | 11.0000 | − | 19.0526i | 0.543915 | − | 0.942088i | −0.454759 | − | 0.890614i | \(-0.650275\pi\) |
0.998674 | − | 0.0514740i | \(-0.0163919\pi\) | |||||||
\(410\) | −13.5000 | + | 23.3827i | −0.666717 | + | 1.15479i | ||||
\(411\) | − | 5.19615i | − | 0.256307i | ||||||
\(412\) | −2.50000 | − | 4.33013i | −0.123166 | − | 0.213330i | ||||
\(413\) | 0 | 0 | ||||||||
\(414\) | −4.50000 | − | 7.79423i | −0.221163 | − | 0.383065i | ||||
\(415\) | −9.00000 | −0.441793 | ||||||||
\(416\) | −2.50000 | − | 4.33013i | −0.122573 | − | 0.212302i | ||||
\(417\) | −7.50000 | + | 4.33013i | −0.367277 | + | 0.212047i | ||||
\(418\) | 7.50000 | − | 12.9904i | 0.366837 | − | 0.635380i | ||||
\(419\) | 1.50000 | − | 2.59808i | 0.0732798 | − | 0.126924i | −0.827057 | − | 0.562118i | \(-0.809987\pi\) |
0.900337 | + | 0.435194i | \(0.143320\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 15.5000 | + | 26.8468i | 0.755424 | + | 1.30843i | 0.945163 | + | 0.326598i | \(0.105902\pi\) |
−0.189740 | + | 0.981834i | \(0.560764\pi\) | |||||||
\(422\) | 5.00000 | 0.243396 | ||||||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −3.00000 | −0.145693 | ||||||||
\(425\) | −6.00000 | − | 10.3923i | −0.291043 | − | 0.504101i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 0 | 0 | ||||||||
\(428\) | 7.50000 | − | 12.9904i | 0.362526 | − | 0.627914i | ||||
\(429\) | −22.5000 | − | 12.9904i | −1.08631 | − | 0.627182i | ||||
\(430\) | 16.5000 | + | 28.5788i | 0.795701 | + | 1.37819i | ||||
\(431\) | −3.00000 | −0.144505 | −0.0722525 | − | 0.997386i | \(-0.523019\pi\) | ||||
−0.0722525 | + | 0.997386i | \(0.523019\pi\) | |||||||
\(432\) | 4.50000 | − | 2.59808i | 0.216506 | − | 0.125000i | ||||
\(433\) | 14.0000 | 0.672797 | 0.336399 | − | 0.941720i | \(-0.390791\pi\) | ||||
0.336399 | + | 0.941720i | \(0.390791\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 13.5000 | + | 7.79423i | 0.647275 | + | 0.373705i | ||||
\(436\) | 3.50000 | − | 6.06218i | 0.167620 | − | 0.290326i | ||||
\(437\) | 7.50000 | − | 12.9904i | 0.358774 | − | 0.621414i | ||||
\(438\) | − | 19.0526i | − | 0.910366i | ||||||
\(439\) | −4.00000 | − | 6.92820i | −0.190910 | − | 0.330665i | 0.754642 | − | 0.656136i | \(-0.227810\pi\) |
−0.945552 | + | 0.325471i | \(0.894477\pi\) | |||||||
\(440\) | 9.00000 | 0.429058 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 15.0000 | 0.713477 | ||||||||
\(443\) | 0 | 0 | 0.866025 | − | 0.500000i | \(-0.166667\pi\) | ||||
−0.866025 | + | 0.500000i | \(0.833333\pi\) | |||||||
\(444\) | 10.5000 | − | 6.06218i | 0.498308 | − | 0.287698i | ||||
\(445\) | 22.5000 | − | 38.9711i | 1.06660 | − | 1.84741i | ||||
\(446\) | −8.50000 | + | 14.7224i | −0.402487 | + | 0.697127i | ||||
\(447\) | 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 | ||||||||
\(451\) | 27.0000 | 1.27138 | ||||||||
\(452\) | −7.50000 | − | 12.9904i | −0.352770 | − | 0.611016i | ||||
\(453\) | − | 19.0526i | − | 0.895167i | ||||||
\(454\) | −4.50000 | + | 7.79423i | −0.211195 | + | 0.365801i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 7.50000 | + | 4.33013i | 0.351220 | + | 0.202777i | ||||
\(457\) | 17.0000 | + | 29.4449i | 0.795226 | + | 1.37737i | 0.922695 | + | 0.385530i | \(0.125981\pi\) |
−0.127469 | + | 0.991843i | \(0.540685\pi\) | |||||||
\(458\) | 17.0000 | 0.794358 | ||||||||
\(459\) | 15.5885i | 0.727607i | ||||||||
\(460\) | 9.00000 | 0.419627 | ||||||||
\(461\) | −4.50000 | − | 7.79423i | −0.209586 | − | 0.363013i | 0.741998 | − | 0.670402i | \(-0.233878\pi\) |
−0.951584 | + | 0.307388i | \(0.900545\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −17.5000 | + | 30.3109i | −0.813294 | + | 1.40867i | 0.0972525 | + | 0.995260i | \(0.468995\pi\) |
−0.910546 | + | 0.413407i | \(0.864339\pi\) | |||||||
\(464\) | 1.50000 | − | 2.59808i | 0.0696358 | − | 0.120613i | ||||
\(465\) | − | 20.7846i | − | 0.963863i | ||||||
\(466\) | −13.5000 | − | 23.3827i | −0.625375 | − | 1.08318i | ||||
\(467\) | −3.00000 | −0.138823 | −0.0694117 | − | 0.997588i | \(-0.522112\pi\) | ||||
−0.0694117 | + | 0.997588i | \(0.522112\pi\) | |||||||
\(468\) | 7.50000 | − | 12.9904i | 0.346688 | − | 0.600481i | ||||
\(469\) | 0 | 0 | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −21.0000 | + | 12.1244i | −0.967629 | + | 0.558661i | ||||
\(472\) | −6.00000 | + | 10.3923i | −0.276172 | + | 0.478345i | ||||
\(473\) | 16.5000 | − | 28.5788i | 0.758671 | − | 1.31406i | ||||
\(474\) | −12.0000 | + | 6.92820i | −0.551178 | + | 0.318223i | ||||
\(475\) | −10.0000 | − | 17.3205i | −0.458831 | − | 0.794719i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −4.50000 | − | 7.79423i | −0.206041 | − | 0.356873i | ||||
\(478\) | 27.0000 | 1.23495 | ||||||||
\(479\) | 4.50000 | + | 7.79423i | 0.205610 | + | 0.356127i | 0.950327 | − | 0.311253i | \(-0.100749\pi\) |
−0.744717 | + | 0.667381i | \(0.767415\pi\) | |||||||
\(480\) | 5.19615i | 0.237171i | ||||||||
\(481\) | 17.5000 | − | 30.3109i | 0.797931 | − | 1.38206i | ||||
\(482\) | −11.5000 | + | 19.9186i | −0.523811 | + | 0.907267i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 1.00000 | + | 1.73205i | 0.0454545 | + | 0.0787296i | ||||
\(485\) | 3.00000 | 0.136223 | ||||||||
\(486\) | 13.5000 | + | 7.79423i | 0.612372 | + | 0.353553i | ||||
\(487\) | −31.0000 | −1.40474 | −0.702372 | − | 0.711810i | \(-0.747876\pi\) | ||||
−0.702372 | + | 0.711810i | \(0.747876\pi\) | |||||||
\(488\) | −1.00000 | − | 1.73205i | −0.0452679 | − | 0.0784063i | ||||
\(489\) | 25.5000 | + | 14.7224i | 1.15315 | + | 0.665771i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 19.5000 | − | 33.7750i | 0.880023 | − | 1.52424i | 0.0287085 | − | 0.999588i | \(-0.490861\pi\) |
0.851314 | − | 0.524656i | \(-0.175806\pi\) | |||||||
\(492\) | 15.5885i | 0.702782i | ||||||||
\(493\) | 4.50000 | + | 7.79423i | 0.202670 | + | 0.351034i | ||||
\(494\) | 25.0000 | 1.12480 | ||||||||
\(495\) | 13.5000 | + | 23.3827i | 0.606780 | + | 1.05097i | ||||
\(496\) | −4.00000 | −0.179605 | ||||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | −4.50000 | + | 2.59808i | −0.201650 | + | 0.116423i | ||||
\(499\) | −5.50000 | + | 9.52628i | −0.246214 | + | 0.426455i | −0.962472 | − | 0.271380i | \(-0.912520\pi\) |
0.716258 | + | 0.697835i | \(0.245853\pi\) | |||||||
\(500\) | −1.50000 | + | 2.59808i | −0.0670820 | + | 0.116190i | ||||
\(501\) | −4.50000 | + | 2.59808i | −0.201045 | + | 0.116073i | ||||
\(502\) | −6.00000 | − | 10.3923i | −0.267793 | − | 0.463831i | ||||
\(503\) | −12.0000 | −0.535054 | −0.267527 | − | 0.963550i | \(-0.586206\pi\) | ||||
−0.267527 | + | 0.963550i | \(0.586206\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 9.00000 | 0.400495 | ||||||||
\(506\) | −4.50000 | − | 7.79423i | −0.200049 | − | 0.346496i | ||||
\(507\) | − | 20.7846i | − | 0.923077i | ||||||
\(508\) | 8.00000 | − | 13.8564i | 0.354943 | − | 0.614779i | ||||
\(509\) | 13.5000 | − | 23.3827i | 0.598377 | − | 1.03642i | −0.394684 | − | 0.918817i | \(-0.629146\pi\) |
0.993061 | − | 0.117602i | \(-0.0375208\pi\) | |||||||
\(510\) | −13.5000 | − | 7.79423i | −0.597790 | − | 0.345134i | ||||
\(511\) | 0 | 0 | ||||||||
\(512\) | 1.00000 | 0.0441942 | ||||||||
\(513\) | 25.9808i | 1.14708i | ||||||||
\(514\) | 15.0000 | 0.661622 | ||||||||
\(515\) | 7.50000 | + | 12.9904i | 0.330489 | + | 0.572425i | ||||
\(516\) | 16.5000 | + | 9.52628i | 0.726372 | + | 0.419371i | ||||
\(517\) | 0 | 0 | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | − | 10.3923i | − | 0.456172i | ||||||
\(520\) | 7.50000 | + | 12.9904i | 0.328897 | + | 0.569666i | ||||
\(521\) | 3.00000 | 0.131432 | 0.0657162 | − | 0.997838i | \(-0.479067\pi\) | ||||
0.0657162 | + | 0.997838i | \(0.479067\pi\) | |||||||
\(522\) | 9.00000 | 0.393919 | ||||||||
\(523\) | −7.00000 | −0.306089 | −0.153044 | − | 0.988219i | \(-0.548908\pi\) | ||||
−0.153044 | + | 0.988219i | \(0.548908\pi\) | |||||||
\(524\) | −1.50000 | − | 2.59808i | −0.0655278 | − | 0.113497i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 4.50000 | − | 7.79423i | 0.196209 | − | 0.339845i | ||||
\(527\) | 6.00000 | − | 10.3923i | 0.261364 | − | 0.452696i | ||||
\(528\) | 4.50000 | − | 2.59808i | 0.195837 | − | 0.113067i | ||||
\(529\) | 7.00000 | + | 12.1244i | 0.304348 | + | 0.527146i | ||||
\(530\) | 9.00000 | 0.390935 | ||||||||
\(531\) | −36.0000 | −1.56227 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 22.5000 | + | 38.9711i | 0.974583 | + | 1.68803i | ||||
\(534\) | − | 25.9808i | − | 1.12430i | ||||||
\(535\) | −22.5000 | + | 38.9711i | −0.972760 | + | 1.68487i | ||||
\(536\) | 2.00000 | − | 3.46410i | 0.0863868 | − | 0.149626i | ||||
\(537\) | 4.50000 | + | 2.59808i | 0.194189 | + | 0.112115i | ||||
\(538\) | −10.5000 | − | 18.1865i | −0.452687 | − | 0.784077i | ||||
\(539\) | 0 | 0 | ||||||||
\(540\) | −13.5000 | + | 7.79423i | −0.580948 | + | 0.335410i | ||||
\(541\) | 17.0000 | 0.730887 | 0.365444 | − | 0.930834i | \(-0.380917\pi\) | ||||
0.365444 | + | 0.930834i | \(0.380917\pi\) | |||||||
\(542\) | 6.50000 | + | 11.2583i | 0.279199 | + | 0.483587i | ||||
\(543\) | −15.0000 | − | 8.66025i | −0.643712 | − | 0.371647i | ||||
\(544\) | −1.50000 | + | 2.59808i | −0.0643120 | + | 0.111392i | ||||
\(545\) | −10.5000 | + | 18.1865i | −0.449771 | + | 0.779026i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −5.50000 | − | 9.52628i | −0.235163 | − | 0.407314i | 0.724157 | − | 0.689635i | \(-0.242229\pi\) |
−0.959320 | + | 0.282321i | \(0.908896\pi\) | |||||||
\(548\) | 3.00000 | 0.128154 | ||||||||
\(549\) | 3.00000 | − | 5.19615i | 0.128037 | − | 0.221766i | ||||
\(550\) | −12.0000 | −0.511682 | ||||||||
\(551\) | 7.50000 | + | 12.9904i | 0.319511 | + | 0.553409i | ||||
\(552\) | 4.50000 | − | 2.59808i | 0.191533 | − | 0.110581i | ||||
\(553\) | 0 | 0 | ||||||||
\(554\) | 3.50000 | − | 6.06218i | 0.148701 | − | 0.257557i | ||||
\(555\) | −31.5000 | + | 18.1865i | −1.33710 | + | 0.771975i | ||||
\(556\) | −2.50000 | − | 4.33013i | −0.106024 | − | 0.183638i | ||||
\(557\) | −3.00000 | −0.127114 | −0.0635570 | − | 0.997978i | \(-0.520244\pi\) | ||||
−0.0635570 | + | 0.997978i | \(0.520244\pi\) | |||||||
\(558\) | −6.00000 | − | 10.3923i | −0.254000 | − | 0.439941i | ||||
\(559\) | 55.0000 | 2.32625 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 15.5885i | 0.658145i | ||||||||
\(562\) | −1.50000 | + | 2.59808i | −0.0632737 | + | 0.109593i | ||||
\(563\) | 6.00000 | − | 10.3923i | 0.252870 | − | 0.437983i | −0.711445 | − | 0.702742i | \(-0.751959\pi\) |
0.964315 | + | 0.264758i | \(0.0852922\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 22.5000 | + | 38.9711i | 0.946582 | + | 1.63953i | ||||
\(566\) | 8.00000 | 0.336265 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −15.0000 | − | 25.9808i | −0.628833 | − | 1.08917i | −0.987786 | − | 0.155815i | \(-0.950200\pi\) |
0.358954 | − | 0.933355i | \(-0.383134\pi\) | |||||||
\(570\) | −22.5000 | − | 12.9904i | −0.942421 | − | 0.544107i | ||||
\(571\) | −10.0000 | + | 17.3205i | −0.418487 | + | 0.724841i | −0.995788 | − | 0.0916910i | \(-0.970773\pi\) |
0.577301 | + | 0.816532i | \(0.304106\pi\) | |||||||
\(572\) | 7.50000 | − | 12.9904i | 0.313591 | − | 0.543155i | ||||
\(573\) | − | 20.7846i | − | 0.868290i | ||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −12.0000 | −0.500435 | ||||||||
\(576\) | 1.50000 | + | 2.59808i | 0.0625000 | + | 0.108253i | ||||
\(577\) | 11.0000 | 0.457936 | 0.228968 | − | 0.973434i | \(-0.426465\pi\) | ||||
0.228968 | + | 0.973434i | \(0.426465\pi\) | |||||||
\(578\) | 4.00000 | + | 6.92820i | 0.166378 | + | 0.288175i | ||||
\(579\) | −21.0000 | + | 12.1244i | −0.872730 | + | 0.503871i | ||||
\(580\) | −4.50000 | + | 7.79423i | −0.186852 | + | 0.323638i | ||||
\(581\) | 0 | 0 | ||||||||
\(582\) | 1.50000 | − | 0.866025i | 0.0621770 | − | 0.0358979i | ||||
\(583\) | −4.50000 | − | 7.79423i | −0.186371 | − | 0.322804i | ||||
\(584\) | 11.0000 | 0.455183 | ||||||||
\(585\) | −22.5000 | + | 38.9711i | −0.930261 | + | 1.61126i | ||||
\(586\) | −27.0000 | −1.11536 | ||||||||
\(587\) | 16.5000 | + | 28.5788i | 0.681028 | + | 1.17957i | 0.974668 | + | 0.223659i | \(0.0718001\pi\) |
−0.293640 | + | 0.955916i | \(0.594867\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 10.0000 | − | 17.3205i | 0.412043 | − | 0.713679i | ||||
\(590\) | 18.0000 | − | 31.1769i | 0.741048 | − | 1.28353i | ||||
\(591\) | −9.00000 | − | 5.19615i | −0.370211 | − | 0.213741i | ||||
\(592\) | 3.50000 | + | 6.06218i | 0.143849 | + | 0.249154i | ||||
\(593\) | −21.0000 | −0.862367 | −0.431183 | − | 0.902264i | \(-0.641904\pi\) | ||||
−0.431183 | + | 0.902264i | \(0.641904\pi\) | |||||||
\(594\) | 13.5000 | + | 7.79423i | 0.553912 | + | 0.319801i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 1.50000 | + | 2.59808i | 0.0614424 | + | 0.106421i | ||||
\(597\) | −10.5000 | − | 6.06218i | −0.429736 | − | 0.248108i | ||||
\(598\) | 7.50000 | − | 12.9904i | 0.306698 | − | 0.531216i | ||||
\(599\) | 0 | 0 | −0.866025 | − | 0.500000i | \(-0.833333\pi\) | ||||
0.866025 | + | 0.500000i | \(0.166667\pi\) | |||||||
\(600\) | − | 6.92820i | − | 0.282843i | ||||||
\(601\) | 0.500000 | + | 0.866025i | 0.0203954 | + | 0.0353259i | 0.876043 | − | 0.482233i | \(-0.160174\pi\) |
−0.855648 | + | 0.517559i | \(0.826841\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 12.0000 | 0.488678 | ||||||||
\(604\) | 11.0000 | 0.447584 | ||||||||
\(605\) | −3.00000 | − | 5.19615i | −0.121967 | − | 0.211254i | ||||
\(606\) | 4.50000 | − | 2.59808i | 0.182800 | − | 0.105540i | ||||
\(607\) | 21.5000 | − | 37.2391i | 0.872658 | − | 1.51149i | 0.0134214 | − | 0.999910i | \(-0.495728\pi\) |
0.859237 | − | 0.511578i | \(-0.170939\pi\) | |||||||
\(608\) | −2.50000 | + | 4.33013i | −0.101388 | + | 0.175610i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 3.00000 | + | 5.19615i | 0.121466 | + | 0.210386i | ||||
\(611\) | 0 | 0 | ||||||||
\(612\) | −9.00000 | −0.363803 | ||||||||
\(613\) | −31.0000 | −1.25208 | −0.626039 | − | 0.779792i | \(-0.715325\pi\) | ||||
−0.626039 | + | 0.779792i | \(0.715325\pi\) | |||||||
\(614\) | 14.0000 | + | 24.2487i | 0.564994 | + | 0.978598i | ||||
\(615\) | − | 46.7654i | − | 1.88576i | ||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −1.50000 | + | 2.59808i | −0.0603877 | + | 0.104595i | −0.894639 | − | 0.446790i | \(-0.852567\pi\) |
0.834251 | + | 0.551385i | \(0.185900\pi\) | |||||||
\(618\) | 7.50000 | + | 4.33013i | 0.301694 | + | 0.174183i | ||||
\(619\) | 9.50000 | + | 16.4545i | 0.381837 | + | 0.661361i | 0.991325 | − | 0.131434i | \(-0.0419582\pi\) |
−0.609488 | + | 0.792796i | \(0.708625\pi\) | |||||||
\(620\) | 12.0000 | 0.481932 | ||||||||
\(621\) | 13.5000 | + | 7.79423i | 0.541736 | + | 0.312772i | ||||
\(622\) | −24.0000 | −0.962312 | ||||||||
\(623\) | 0 | 0 | ||||||||
\(624\) | 7.50000 | + | 4.33013i | 0.300240 | + | 0.173344i | ||||
\(625\) | 14.5000 | − | 25.1147i | 0.580000 | − | 1.00459i | ||||
\(626\) | −7.00000 | + | 12.1244i | −0.279776 | + | 0.484587i | ||||
\(627\) | 25.9808i | 1.03757i | ||||||||
\(628\) | −7.00000 | − | 12.1244i | −0.279330 | − | 0.483814i | ||||
\(629\) | −21.0000 | −0.837325 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 8.00000 | 0.318475 | 0.159237 | − | 0.987240i | \(-0.449096\pi\) | ||||
0.159237 | + | 0.987240i | \(0.449096\pi\) | |||||||
\(632\) | −4.00000 | − | 6.92820i | −0.159111 | − | 0.275589i | ||||
\(633\) | −7.50000 | + | 4.33013i | −0.298098 | + | 0.172107i | ||||
\(634\) | −15.0000 | + | 25.9808i | −0.595726 | + | 1.03183i | ||||
\(635\) | −24.0000 | + | 41.5692i | −0.952411 | + | 1.64962i | ||||
\(636\) | 4.50000 | − | 2.59808i | 0.178437 | − | 0.103020i | ||||
\(637\) | 0 | 0 | ||||||||
\(638\) | 9.00000 | 0.356313 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −3.00000 | −0.118585 | ||||||||
\(641\) | 22.5000 | + | 38.9711i | 0.888697 | + | 1.53927i | 0.841417 | + | 0.540386i | \(0.181722\pi\) |
0.0472793 | + | 0.998882i | \(0.484945\pi\) | |||||||
\(642\) | 25.9808i | 1.02538i | ||||||||
\(643\) | −14.5000 | + | 25.1147i | −0.571824 | + | 0.990429i | 0.424555 | + | 0.905402i | \(0.360431\pi\) |
−0.996379 | + | 0.0850262i | \(0.972903\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −49.5000 | − | 28.5788i | −1.94906 | − | 1.12529i | ||||
\(646\) | −7.50000 | − | 12.9904i | −0.295084 | − | 0.511100i | ||||
\(647\) | −3.00000 | −0.117942 | −0.0589711 | − | 0.998260i | \(-0.518782\pi\) | ||||
−0.0589711 | + | 0.998260i | \(0.518782\pi\) | |||||||
\(648\) | −4.50000 | + | 7.79423i | −0.176777 | + | 0.306186i | ||||
\(649\) | −36.0000 | −1.41312 | ||||||||
\(650\) | −10.0000 | − | 17.3205i | −0.392232 | − | 0.679366i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −8.50000 | + | 14.7224i | −0.332886 | + | 0.576575i | ||||
\(653\) | −4.50000 | + | 7.79423i | −0.176099 | + | 0.305012i | −0.940541 | − | 0.339680i | \(-0.889681\pi\) |
0.764442 | + | 0.644692i | \(0.223014\pi\) | |||||||
\(654\) | 12.1244i | 0.474100i | ||||||||
\(655\) | 4.50000 | + | 7.79423i | 0.175830 | + | 0.304546i | ||||
\(656\) | −9.00000 | −0.351391 | ||||||||
\(657\) | 16.5000 | + | 28.5788i | 0.643726 | + | 1.11497i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −19.5000 | − | 33.7750i | −0.759612 | − | 1.31569i | −0.943049 | − | 0.332655i | \(-0.892055\pi\) |
0.183436 | − | 0.983032i | \(-0.441278\pi\) | |||||||
\(660\) | −13.5000 | + | 7.79423i | −0.525487 | + | 0.303390i | ||||
\(661\) | −7.00000 | + | 12.1244i | −0.272268 | + | 0.471583i | −0.969442 | − | 0.245319i | \(-0.921107\pi\) |
0.697174 | + | 0.716902i | \(0.254441\pi\) | |||||||
\(662\) | −10.0000 | + | 17.3205i | −0.388661 | + | 0.673181i | ||||
\(663\) | −22.5000 | + | 12.9904i | −0.873828 | + | 0.504505i | ||||
\(664\) | −1.50000 | − | 2.59808i | −0.0582113 | − | 0.100825i | ||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −10.5000 | + | 18.1865i | −0.406867 | + | 0.704714i | ||||
\(667\) | 9.00000 | 0.348481 | ||||||||
\(668\) | −1.50000 | − | 2.59808i | −0.0580367 | − | 0.100523i | ||||
\(669\) | − | 29.4449i | − | 1.13840i | ||||||
\(670\) | −6.00000 | + | 10.3923i | −0.231800 | + | 0.401490i | ||||
\(671\) | 3.00000 | − | 5.19615i | 0.115814 | − | 0.200595i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −5.50000 | − | 9.52628i | −0.212009 | − | 0.367211i | 0.740334 | − | 0.672239i | \(-0.234667\pi\) |
−0.952343 | + | 0.305028i | \(0.901334\pi\) | |||||||
\(674\) | −25.0000 | −0.962964 | ||||||||
\(675\) | 18.0000 | − | 10.3923i | 0.692820 | − | 0.400000i | ||||
\(676\) | 12.0000 | 0.461538 | ||||||||
\(677\) | −3.00000 | − | 5.19615i | −0.115299 | − | 0.199704i | 0.802600 | − | 0.596518i | \(-0.203449\pi\) |
−0.917899 | + | 0.396813i | \(0.870116\pi\) | |||||||
\(678\) | 22.5000 | + | 12.9904i | 0.864107 | + | 0.498893i | ||||
\(679\) | 0 | 0 | ||||||||
\(680\) | 4.50000 | − | 7.79423i | 0.172567 | − | 0.298895i | ||||
\(681\) | − | 15.5885i | − | 0.597351i | ||||||
\(682\) | −6.00000 | − | 10.3923i | −0.229752 | − | 0.397942i | ||||
\(683\) | −33.0000 | −1.26271 | −0.631355 | − | 0.775494i | \(-0.717501\pi\) | ||||
−0.631355 | + | 0.775494i | \(0.717501\pi\) | |||||||
\(684\) | −15.0000 | −0.573539 | ||||||||
\(685\) | −9.00000 | −0.343872 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −25.5000 | + | 14.7224i | −0.972886 | + | 0.561696i | ||||
\(688\) | −5.50000 | + | 9.52628i | −0.209686 | + | 0.363186i | ||||
\(689\) | 7.50000 | − | 12.9904i | 0.285727 | − | 0.494894i | ||||
\(690\) | −13.5000 | + | 7.79423i | −0.513936 | + | 0.296721i | ||||
\(691\) | −10.0000 | − | 17.3205i | −0.380418 | − | 0.658903i | 0.610704 | − | 0.791859i | \(-0.290887\pi\) |
−0.991122 | + | 0.132956i | \(0.957553\pi\) | |||||||
\(692\) | 6.00000 | 0.228086 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −12.0000 | −0.455514 | ||||||||
\(695\) | 7.50000 | + | 12.9904i | 0.284491 | + | 0.492753i | ||||
\(696\) | 5.19615i | 0.196960i | ||||||||
\(697\) | 13.5000 | − | 23.3827i | 0.511349 | − | 0.885682i | ||||
\(698\) | −2.50000 | + | 4.33013i | −0.0946264 | + | 0.163898i | ||||
\(699\) | 40.5000 | + | 23.3827i | 1.53185 | + | 0.884414i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 6.00000 | 0.226617 | 0.113308 | − | 0.993560i | \(-0.463855\pi\) | ||||
0.113308 | + | 0.993560i | \(0.463855\pi\) | |||||||
\(702\) | 25.9808i | 0.980581i | ||||||||
\(703\) | −35.0000 | −1.32005 | ||||||||
\(704\) | 1.50000 | + | 2.59808i | 0.0565334 | + | 0.0979187i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 4.50000 | − | 7.79423i | 0.169360 | − | 0.293340i | ||||
\(707\) | 0 | 0 | ||||||||
\(708\) | − | 20.7846i | − | 0.781133i | ||||||
\(709\) | 5.00000 | + | 8.66025i | 0.187779 | + | 0.325243i | 0.944509 | − | 0.328484i | \(-0.106538\pi\) |
−0.756730 | + | 0.653727i | \(0.773204\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 12.0000 | − | 20.7846i | 0.450035 | − | 0.779484i | ||||
\(712\) | 15.0000 | 0.562149 | ||||||||
\(713\) | −6.00000 | − | 10.3923i | −0.224702 | − | 0.389195i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −22.5000 | + | 38.9711i | −0.841452 | + | 1.45744i | ||||
\(716\) | −1.50000 | + | 2.59808i | −0.0560576 | + | 0.0970947i | ||||
\(717\) | −40.5000 | + | 23.3827i | −1.51250 | + | 0.873242i | ||||
\(718\) | −7.50000 | − | 12.9904i | −0.279898 | − | 0.484797i | ||||
\(719\) | 39.0000 | 1.45445 | 0.727227 | − | 0.686397i | \(-0.240809\pi\) | ||||
0.727227 | + | 0.686397i | \(0.240809\pi\) | |||||||
\(720\) | −4.50000 | − | 7.79423i | −0.167705 | − | 0.290474i | ||||
\(721\) | 0 | 0 | ||||||||
\(722\) | −3.00000 | − | 5.19615i | −0.111648 | − | 0.193381i | ||||
\(723\) | − | 39.8372i | − | 1.48156i | ||||||
\(724\) | 5.00000 | − | 8.66025i | 0.185824 | − | 0.321856i | ||||
\(725\) | 6.00000 | − | 10.3923i | 0.222834 | − | 0.385961i | ||||
\(726\) | −3.00000 | − | 1.73205i | −0.111340 | − | 0.0642824i | ||||
\(727\) | −2.50000 | − | 4.33013i | −0.0927199 | − | 0.160596i | 0.815935 | − | 0.578144i | \(-0.196223\pi\) |
−0.908655 | + | 0.417548i | \(0.862889\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −27.0000 | −1.00000 | ||||||||
\(730\) | −33.0000 | −1.22138 | ||||||||
\(731\) | −16.5000 | − | 28.5788i | −0.610275 | − | 1.05703i | ||||
\(732\) | 3.00000 | + | 1.73205i | 0.110883 | + | 0.0640184i | ||||
\(733\) | −20.5000 | + | 35.5070i | −0.757185 | + | 1.31148i | 0.187096 | + | 0.982342i | \(0.440092\pi\) |
−0.944281 | + | 0.329141i | \(0.893241\pi\) | |||||||
\(734\) | 0.500000 | − | 0.866025i | 0.0184553 | − | 0.0319656i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 1.50000 | + | 2.59808i | 0.0552907 | + | 0.0957664i | ||||
\(737\) | 12.0000 | 0.442026 | ||||||||
\(738\) | −13.5000 | − | 23.3827i | −0.496942 | − | 0.860729i | ||||
\(739\) | 47.0000 | 1.72892 | 0.864461 | − | 0.502699i | \(-0.167660\pi\) | ||||
0.864461 | + | 0.502699i | \(0.167660\pi\) | |||||||
\(740\) | −10.5000 | − | 18.1865i | −0.385988 | − | 0.668550i | ||||
\(741\) | −37.5000 | + | 21.6506i | −1.37760 | + | 0.795356i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −1.50000 | + | 2.59808i | −0.0550297 | + | 0.0953142i | −0.892228 | − | 0.451585i | \(-0.850859\pi\) |
0.837198 | + | 0.546899i | \(0.184192\pi\) | |||||||
\(744\) | 6.00000 | − | 3.46410i | 0.219971 | − | 0.127000i | ||||
\(745\) | −4.50000 | − | 7.79423i | −0.164867 | − | 0.285558i | ||||
\(746\) | 17.0000 | 0.622414 | ||||||||
\(747\) | 4.50000 | − | 7.79423i | 0.164646 | − | 0.285176i | ||||
\(748\) | −9.00000 | −0.329073 | ||||||||
\(749\) | 0 | 0 | ||||||||
\(750\) | − | 5.19615i | − | 0.189737i | ||||||
\(751\) | −14.5000 | + | 25.1147i | −0.529113 | + | 0.916450i | 0.470311 | + | 0.882501i | \(0.344142\pi\) |
−0.999424 | + | 0.0339490i | \(0.989192\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 18.0000 | + | 10.3923i | 0.655956 | + | 0.378717i | ||||
\(754\) | 7.50000 | + | 12.9904i | 0.273134 | + | 0.473082i | ||||
\(755\) | −33.0000 | −1.20099 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 14.0000 | 0.508839 | 0.254419 | − | 0.967094i | \(-0.418116\pi\) | ||||
0.254419 | + | 0.967094i | \(0.418116\pi\) | |||||||
\(758\) | 8.00000 | + | 13.8564i | 0.290573 | + | 0.503287i | ||||
\(759\) | 13.5000 | + | 7.79423i | 0.490019 | + | 0.282913i | ||||
\(760\) | 7.50000 | − | 12.9904i | 0.272054 | − | 0.471211i | ||||
\(761\) | −1.50000 | + | 2.59808i | −0.0543750 | + | 0.0941802i | −0.891932 | − | 0.452170i | \(-0.850650\pi\) |
0.837557 | + | 0.546350i | \(0.183983\pi\) | |||||||
\(762\) | 27.7128i | 1.00393i | ||||||||
\(763\) | 0 | 0 | ||||||||
\(764\) | 12.0000 | 0.434145 | ||||||||
\(765\) | 27.0000 | 0.976187 | ||||||||
\(766\) | −15.0000 | −0.541972 | ||||||||
\(767\) | −30.0000 | − | 51.9615i | −1.08324 | − | 1.87622i | ||||
\(768\) | −1.50000 | + | 0.866025i | −0.0541266 | + | 0.0312500i | ||||
\(769\) | 0.500000 | − | 0.866025i | 0.0180305 | − | 0.0312297i | −0.856869 | − | 0.515534i | \(-0.827594\pi\) |
0.874900 | + | 0.484304i | \(0.160927\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −22.5000 | + | 12.9904i | −0.810318 | + | 0.467837i | ||||
\(772\) | −7.00000 | − | 12.1244i | −0.251936 | − | 0.436365i | ||||
\(773\) | 21.0000 | 0.755318 | 0.377659 | − | 0.925945i | \(-0.376729\pi\) | ||||
0.377659 | + | 0.925945i | \(0.376729\pi\) | |||||||
\(774\) | −33.0000 | −1.18616 | ||||||||
\(775\) | −16.0000 | −0.574737 | ||||||||
\(776\) | 0.500000 | + | 0.866025i | 0.0179490 | + | 0.0310885i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −4.50000 | + | 7.79423i | −0.161333 | + | 0.279437i | ||||
\(779\) | 22.5000 | − | 38.9711i | 0.806146 | − | 1.39629i | ||||
\(780\) | −22.5000 | − | 12.9904i | −0.805629 | − | 0.465130i | ||||
\(781\) | 0 | 0 | ||||||||
\(782\) | −9.00000 | −0.321839 | ||||||||
\(783\) | −13.5000 | + | 7.79423i | −0.482451 | + | 0.278543i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 21.0000 | + | 36.3731i | 0.749522 | + | 1.29821i | ||||
\(786\) | 4.50000 | + | 2.59808i | 0.160510 | + | 0.0926703i | ||||
\(787\) | −22.0000 | + | 38.1051i | −0.784215 | + | 1.35830i | 0.145251 | + | 0.989395i | \(0.453601\pi\) |
−0.929467 | + | 0.368906i | \(0.879732\pi\) | |||||||
\(788\) | 3.00000 | − | 5.19615i | 0.106871 | − | 0.185105i | ||||
\(789\) | 15.5885i | 0.554964i | ||||||||
\(790\) | 12.0000 | + | 20.7846i | 0.426941 | + | 0.739483i | ||||
\(791\) | 0 | 0 | ||||||||
\(792\) | −4.50000 | + | 7.79423i | −0.159901 | + | 0.276956i | ||||
\(793\) | 10.0000 | 0.355110 | ||||||||
\(794\) | −14.5000 | − | 25.1147i | −0.514586 | − | 0.891289i | ||||
\(795\) | −13.5000 | + | 7.79423i | −0.478796 | + | 0.276433i | ||||
\(796\) | 3.50000 | − | 6.06218i | 0.124054 | − | 0.214868i | ||||
\(797\) | 13.5000 | − | 23.3827i | 0.478195 | − | 0.828257i | −0.521493 | − | 0.853256i | \(-0.674625\pi\) |
0.999687 | + | 0.0249984i | \(0.00795805\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 0 | 0 | ||||||||
\(800\) | 4.00000 | 0.141421 | ||||||||
\(801\) | 22.5000 | + | 38.9711i | 0.794998 | + | 1.37698i | ||||
\(802\) | 27.0000 | 0.953403 | ||||||||
\(803\) | 16.5000 | + | 28.5788i | 0.582272 | + | 1.00853i | ||||
\(804\) | 6.92820i | 0.244339i | ||||||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 10.0000 | − | 17.3205i | 0.352235 | − | 0.610089i | ||||
\(807\) | 31.5000 | + | 18.1865i | 1.10885 | + | 0.640196i | ||||
\(808\) | 1.50000 | + | 2.59808i | 0.0527698 | + | 0.0914000i | ||||
\(809\) | 39.0000 | 1.37117 | 0.685583 | − | 0.727994i | \(-0.259547\pi\) | ||||
0.685583 | + | 0.727994i | \(0.259547\pi\) | |||||||
\(810\) | 13.5000 | − | 23.3827i | 0.474342 | − | 0.821584i | ||||
\(811\) | 20.0000 | 0.702295 | 0.351147 | − | 0.936320i | \(-0.385792\pi\) | ||||
0.351147 | + | 0.936320i | \(0.385792\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −19.5000 | − | 11.2583i | −0.683895 | − | 0.394847i | ||||
\(814\) | −10.5000 | + | 18.1865i | −0.368025 | + | 0.637438i | ||||
\(815\) | 25.5000 | − | 44.1673i | 0.893226 | − | 1.54711i | ||||
\(816\) | − | 5.19615i | − | 0.181902i | ||||||
\(817\) | −27.5000 | − | 47.6314i | −0.962103 | − | 1.66641i | ||||
\(818\) | −22.0000 | −0.769212 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 27.0000 | 0.942881 | ||||||||
\(821\) | 27.0000 | + | 46.7654i | 0.942306 | + | 1.63212i | 0.761056 | + | 0.648686i | \(0.224681\pi\) |
0.181250 | + | 0.983437i | \(0.441986\pi\) | |||||||
\(822\) | −4.50000 | + | 2.59808i | −0.156956 | + | 0.0906183i | ||||
\(823\) | 20.0000 | − | 34.6410i | 0.697156 | − | 1.20751i | −0.272292 | − | 0.962215i | \(-0.587782\pi\) |
0.969448 | − | 0.245295i | \(-0.0788849\pi\) | |||||||
\(824\) | −2.50000 | + | 4.33013i | −0.0870916 | + | 0.150847i | ||||
\(825\) | 18.0000 | − | 10.3923i | 0.626680 | − | 0.361814i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −24.0000 | −0.834562 | −0.417281 | − | 0.908778i | \(-0.637017\pi\) | ||||
−0.417281 | + | 0.908778i | \(0.637017\pi\) | |||||||
\(828\) | −4.50000 | + | 7.79423i | −0.156386 | + | 0.270868i | ||||
\(829\) | 41.0000 | 1.42399 | 0.711994 | − | 0.702185i | \(-0.247792\pi\) | ||||
0.711994 | + | 0.702185i | \(0.247792\pi\) | |||||||
\(830\) | 4.50000 | + | 7.79423i | 0.156197 | + | 0.270542i | ||||
\(831\) | 12.1244i | 0.420589i | ||||||||
\(832\) | −2.50000 | + | 4.33013i | −0.0866719 | + | 0.150120i | ||||
\(833\) | 0 | 0 | ||||||||
\(834\) | 7.50000 | + | 4.33013i | 0.259704 | + | 0.149940i | ||||
\(835\) | 4.50000 | + | 7.79423i | 0.155729 | + | 0.269730i | ||||
\(836\) | −15.0000 | −0.518786 | ||||||||
\(837\) | 18.0000 | + | 10.3923i | 0.622171 | + | 0.359211i | ||||
\(838\) | −3.00000 | −0.103633 | ||||||||
\(839\) | 19.5000 | + | 33.7750i | 0.673215 | + | 1.16604i | 0.976987 | + | 0.213298i | \(0.0684204\pi\) |
−0.303773 | + | 0.952745i | \(0.598246\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 10.0000 | − | 17.3205i | 0.344828 | − | 0.597259i | ||||
\(842\) | 15.5000 | − | 26.8468i | 0.534165 | − | 0.925201i | ||||
\(843\) | − | 5.19615i | − | 0.178965i | ||||||
\(844\) | −2.50000 | − | 4.33013i | −0.0860535 | − | 0.149049i | ||||
\(845\) | −36.0000 | −1.23844 | ||||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 0 | 0 | ||||||||
\(848\) | 1.50000 | + | 2.59808i | 0.0515102 | + | 0.0892183i | ||||
\(849\) | −12.0000 | + | 6.92820i | −0.411839 | + | 0.237775i | ||||
\(850\) | −6.00000 | + | 10.3923i | −0.205798 | + | 0.356453i | ||||
\(851\) | −10.5000 | + | 18.1865i | −0.359935 | + | 0.623426i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −8.50000 | − | 14.7224i | −0.291034 | − | 0.504086i | 0.683020 | − | 0.730400i | \(-0.260666\pi\) |
−0.974055 | + | 0.226313i | \(0.927333\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 45.0000 | 1.53897 | ||||||||
\(856\) | −15.0000 | −0.512689 | ||||||||
\(857\) | 16.5000 | + | 28.5788i | 0.563629 | + | 0.976235i | 0.997176 | + | 0.0751033i | \(0.0239287\pi\) |
−0.433546 | + | 0.901131i | \(0.642738\pi\) | |||||||
\(858\) | 25.9808i | 0.886969i | ||||||||
\(859\) | −5.50000 | + | 9.52628i | −0.187658 | + | 0.325032i | −0.944469 | − | 0.328601i | \(-0.893423\pi\) |
0.756811 | + | 0.653633i | \(0.226756\pi\) | |||||||
\(860\) | 16.5000 | − | 28.5788i | 0.562645 | − | 0.974530i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 1.50000 | + | 2.59808i | 0.0510902 | + | 0.0884908i | ||||
\(863\) | 15.0000 | 0.510606 | 0.255303 | − | 0.966861i | \(-0.417825\pi\) | ||||
0.255303 | + | 0.966861i | \(0.417825\pi\) | |||||||
\(864\) | −4.50000 | − | 2.59808i | −0.153093 | − | 0.0883883i | ||||
\(865\) | −18.0000 | −0.612018 | ||||||||
\(866\) | −7.00000 | − | 12.1244i | −0.237870 | − | 0.412002i | ||||
\(867\) | −12.0000 | − | 6.92820i | −0.407541 | − | 0.235294i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 12.0000 | − | 20.7846i | 0.407072 | − | 0.705070i | ||||
\(870\) | − | 15.5885i | − | 0.528498i | ||||||
\(871\) | 10.0000 | + | 17.3205i | 0.338837 | + | 0.586883i | ||||
\(872\) | −7.00000 | −0.237050 | ||||||||
\(873\) | −1.50000 | + | 2.59808i | −0.0507673 | + | 0.0879316i | ||||
\(874\) | −15.0000 | −0.507383 | ||||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | −16.5000 | + | 9.52628i | −0.557483 | + | 0.321863i | ||||
\(877\) | 21.5000 | − | 37.2391i | 0.726003 | − | 1.25747i | −0.232556 | − | 0.972583i | \(-0.574709\pi\) |
0.958560 | − | 0.284892i | \(-0.0919577\pi\) | |||||||
\(878\) | −4.00000 | + | 6.92820i | −0.134993 | + | 0.233816i | ||||
\(879\) | 40.5000 | − | 23.3827i | 1.36603 | − | 0.788678i | ||||
\(880\) | −4.50000 | − | 7.79423i | −0.151695 | − | 0.262743i | ||||
\(881\) | 6.00000 | 0.202145 | 0.101073 | − | 0.994879i | \(-0.467773\pi\) | ||||
0.101073 | + | 0.994879i | \(0.467773\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −4.00000 | −0.134611 | −0.0673054 | − | 0.997732i | \(-0.521440\pi\) | ||||
−0.0673054 | + | 0.997732i | \(0.521440\pi\) | |||||||
\(884\) | −7.50000 | − | 12.9904i | −0.252252 | − | 0.436914i | ||||
\(885\) | 62.3538i | 2.09600i | ||||||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 19.5000 | − | 33.7750i | 0.654746 | − | 1.13405i | −0.327212 | − | 0.944951i | \(-0.606109\pi\) |
0.981957 | − | 0.189102i | \(-0.0605577\pi\) | |||||||
\(888\) | −10.5000 | − | 6.06218i | −0.352357 | − | 0.203433i | ||||
\(889\) | 0 | 0 | ||||||||
\(890\) | −45.0000 | −1.50840 | ||||||||
\(891\) | −27.0000 | −0.904534 | ||||||||
\(892\) | 17.0000 | 0.569202 | ||||||||
\(893\) | 0 | 0 | ||||||||
\(894\) | −4.50000 | − | 2.59808i | −0.150503 | − | 0.0868927i | ||||
\(895\) | 4.50000 | − | 7.79423i | 0.150418 | − | 0.260532i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 25.9808i | 0.867472i | ||||||||
\(898\) | −15.0000 | − | 25.9808i | −0.500556 | − | 0.866989i | ||||
\(899\) | 12.0000 | 0.400222 | ||||||||
\(900\) | 6.00000 | + | 10.3923i | 0.200000 | + | 0.346410i | ||||
\(901\) | −9.00000 | −0.299833 | ||||||||
\(902\) | −13.5000 | − | 23.3827i | −0.449501 | − | 0.778558i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −7.50000 | + | 12.9904i | −0.249446 | + | 0.432054i | ||||
\(905\) | −15.0000 | + | 25.9808i | −0.498617 | + | 0.863630i | ||||
\(906\) | −16.5000 | + | 9.52628i | −0.548176 | + | 0.316489i | ||||
\(907\) | −8.50000 | − | 14.7224i | −0.282238 | − | 0.488850i | 0.689698 | − | 0.724097i | \(-0.257743\pi\) |
−0.971936 | + | 0.235247i | \(0.924410\pi\) | |||||||
\(908\) | 9.00000 | 0.298675 | ||||||||
\(909\) | −4.50000 | + | 7.79423i | −0.149256 | + | 0.258518i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −4.50000 | − | 7.79423i | −0.149092 | − | 0.258234i | 0.781800 | − | 0.623529i | \(-0.214302\pi\) |
−0.930892 | + | 0.365295i | \(0.880968\pi\) | |||||||
\(912\) | − | 8.66025i | − | 0.286770i | ||||||
\(913\) | 4.50000 | − | 7.79423i | 0.148928 | − | 0.257951i | ||||
\(914\) | 17.0000 | − | 29.4449i | 0.562310 | − | 0.973950i | ||||
\(915\) | −9.00000 | − | 5.19615i | −0.297531 | − | 0.171780i | ||||
\(916\) | −8.50000 | − | 14.7224i | −0.280848 | − | 0.486443i | ||||
\(917\) | 0 | 0 | ||||||||
\(918\) | 13.5000 | − | 7.79423i | 0.445566 | − | 0.257248i | ||||
\(919\) | −1.00000 | −0.0329870 | −0.0164935 | − | 0.999864i | \(-0.505250\pi\) | ||||
−0.0164935 | + | 0.999864i | \(0.505250\pi\) | |||||||
\(920\) | −4.50000 | − | 7.79423i | −0.148361 | − | 0.256968i | ||||
\(921\) | −42.0000 | − | 24.2487i | −1.38395 | − | 0.799022i | ||||
\(922\) | −4.50000 | + | 7.79423i | −0.148200 | + | 0.256689i | ||||
\(923\) | 0 | 0 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 14.0000 | + | 24.2487i | 0.460317 | + | 0.797293i | ||||
\(926\) | 35.0000 | 1.15017 | ||||||||
\(927\) | −15.0000 | −0.492665 | ||||||||
\(928\) | −3.00000 | −0.0984798 | ||||||||
\(929\) | 9.00000 | + | 15.5885i | 0.295280 | + | 0.511441i | 0.975050 | − | 0.221985i | \(-0.0712536\pi\) |
−0.679770 | + | 0.733426i | \(0.737920\pi\) | |||||||
\(930\) | −18.0000 | + | 10.3923i | −0.590243 | + | 0.340777i | ||||
\(931\) | 0 | 0 | ||||||||
\(932\) | −13.5000 | + | 23.3827i | −0.442207 | + | 0.765925i | ||||
\(933\) | 36.0000 | − | 20.7846i | 1.17859 | − | 0.680458i | ||||
\(934\) | 1.50000 | + | 2.59808i | 0.0490815 | + | 0.0850117i | ||||
\(935\) | 27.0000 | 0.882994 | ||||||||
\(936\) | −15.0000 | −0.490290 | ||||||||
\(937\) | −34.0000 | −1.11073 | −0.555366 | − | 0.831606i | \(-0.687422\pi\) | ||||
−0.555366 | + | 0.831606i | \(0.687422\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | − | 24.2487i | − | 0.791327i | ||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −27.0000 | + | 46.7654i | −0.880175 | + | 1.52451i | −0.0290288 | + | 0.999579i | \(0.509241\pi\) |
−0.851146 | + | 0.524929i | \(0.824092\pi\) | |||||||
\(942\) | 21.0000 | + | 12.1244i | 0.684217 | + | 0.395033i | ||||
\(943\) | −13.5000 | − | 23.3827i | −0.439620 | − | 0.761445i | ||||
\(944\) | 12.0000 | 0.390567 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −33.0000 | −1.07292 | ||||||||
\(947\) | 6.00000 | + | 10.3923i | 0.194974 | + | 0.337705i | 0.946892 | − | 0.321552i | \(-0.104204\pi\) |
−0.751918 | + | 0.659256i | \(0.770871\pi\) | |||||||
\(948\) | 12.0000 | + | 6.92820i | 0.389742 | + | 0.225018i | ||||
\(949\) | −27.5000 | + | 47.6314i | −0.892688 | + | 1.54618i | ||||
\(950\) | −10.0000 | + | 17.3205i | −0.324443 | + | 0.561951i | ||||
\(951\) | − | 51.9615i | − | 1.68497i | ||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −6.00000 | −0.194359 | −0.0971795 | − | 0.995267i | \(-0.530982\pi\) | ||||
−0.0971795 | + | 0.995267i | \(0.530982\pi\) | |||||||
\(954\) | −4.50000 | + | 7.79423i | −0.145693 | + | 0.252347i | ||||
\(955\) | −36.0000 | −1.16493 | ||||||||
\(956\) | −13.5000 | − | 23.3827i | −0.436621 | − | 0.756250i | ||||
\(957\) | −13.5000 | + | 7.79423i | −0.436393 | + | 0.251952i | ||||
\(958\) | 4.50000 | − | 7.79423i | 0.145388 | − | 0.251820i | ||||
\(959\) | 0 | 0 | ||||||||
\(960\) | 4.50000 | − | 2.59808i | 0.145237 | − | 0.0838525i | ||||
\(961\) | 7.50000 | + | 12.9904i | 0.241935 | + | 0.419045i | ||||
\(962\) | −35.0000 | −1.12845 | ||||||||
\(963\) | −22.5000 | − | 38.9711i | −0.725052 | − | 1.25583i | ||||
\(964\) | 23.0000 | 0.740780 | ||||||||
\(965\) | 21.0000 | + | 36.3731i | 0.676014 | + | 1.17089i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 24.5000 | − | 42.4352i | 0.787867 | − | 1.36463i | −0.139404 | − | 0.990236i | \(-0.544519\pi\) |
0.927271 | − | 0.374390i | \(-0.122148\pi\) | |||||||
\(968\) | 1.00000 | − | 1.73205i | 0.0321412 | − | 0.0556702i | ||||
\(969\) | 22.5000 | + | 12.9904i | 0.722804 | + | 0.417311i | ||||
\(970\) | −1.50000 | − | 2.59808i | −0.0481621 | − | 0.0834192i | ||||
\(971\) | −27.0000 | −0.866471 | −0.433236 | − | 0.901281i | \(-0.642628\pi\) | ||||
−0.433236 | + | 0.901281i | \(0.642628\pi\) | |||||||
\(972\) | − | 15.5885i | − | 0.500000i | ||||||
\(973\) | 0 | 0 | ||||||||
\(974\) | 15.5000 | + | 26.8468i | 0.496652 | + | 0.860227i | ||||
\(975\) | 30.0000 | + | 17.3205i | 0.960769 | + | 0.554700i | ||||
\(976\) | −1.00000 | + | 1.73205i | −0.0320092 | + | 0.0554416i | ||||
\(977\) | −3.00000 | + | 5.19615i | −0.0959785 | + | 0.166240i | −0.910017 | − | 0.414572i | \(-0.863931\pi\) |
0.814038 | + | 0.580812i | \(0.197265\pi\) | |||||||
\(978\) | − | 29.4449i | − | 0.941543i | ||||||
\(979\) | 22.5000 | + | 38.9711i | 0.719103 | + | 1.24552i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −10.5000 | − | 18.1865i | −0.335239 | − | 0.580651i | ||||
\(982\) | −39.0000 | −1.24454 | ||||||||
\(983\) | 10.5000 | + | 18.1865i | 0.334898 | + | 0.580060i | 0.983465 | − | 0.181097i | \(-0.0579648\pi\) |
−0.648567 | + | 0.761157i | \(0.724631\pi\) | |||||||
\(984\) | 13.5000 | − | 7.79423i | 0.430364 | − | 0.248471i | ||||
\(985\) | −9.00000 | + | 15.5885i | −0.286764 | + | 0.496690i | ||||
\(986\) | 4.50000 | − | 7.79423i | 0.143309 | − | 0.248219i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −12.5000 | − | 21.6506i | −0.397678 | − | 0.688798i | ||||
\(989\) | −33.0000 | −1.04934 | ||||||||
\(990\) | 13.5000 | − | 23.3827i | 0.429058 | − | 0.743151i | ||||
\(991\) | 29.0000 | 0.921215 | 0.460608 | − | 0.887604i | \(-0.347632\pi\) | ||||
0.460608 | + | 0.887604i | \(0.347632\pi\) | |||||||
\(992\) | 2.00000 | + | 3.46410i | 0.0635001 | + | 0.109985i | ||||
\(993\) | − | 34.6410i | − | 1.09930i | ||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −10.5000 | + | 18.1865i | −0.332872 | + | 0.576552i | ||||
\(996\) | 4.50000 | + | 2.59808i | 0.142588 | + | 0.0823232i | ||||
\(997\) | −20.5000 | − | 35.5070i | −0.649242 | − | 1.12452i | −0.983304 | − | 0.181968i | \(-0.941753\pi\) |
0.334063 | − | 0.942551i | \(-0.391580\pi\) | |||||||
\(998\) | 11.0000 | 0.348199 | ||||||||
\(999\) | − | 36.3731i | − | 1.15079i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))