Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [882,2,Mod(67,882)]
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([2, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("882.67");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 882 = 2 \cdot 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 882.h (of order \(3\), degree \(2\), not 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 | 79.1 | ||
Root | \(0.500000 - 0.866025i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 882.79 |
Dual form | 882.2.h.e.67.1 |
$q$-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 \(\left(\mathbb{Z}/882\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(785\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{2}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.500000 | − | 0.866025i | −0.353553 | − | 0.612372i | ||||
\(3\) | 1.50000 | + | 0.866025i | 0.866025 | + | 0.500000i | ||||
\(4\) | −0.500000 | + | 0.866025i | −0.250000 | + | 0.433013i | ||||
\(5\) | 3.00000 | 1.34164 | 0.670820 | − | 0.741620i | \(-0.265942\pi\) | ||||
0.670820 | + | 0.741620i | \(0.265942\pi\) | |||||||
\(6\) | − | 1.73205i | − | 0.707107i | ||||||
\(7\) | 0 | 0 | ||||||||
\(8\) | 1.00000 | 0.353553 | ||||||||
\(9\) | 1.50000 | + | 2.59808i | 0.500000 | + | 0.866025i | ||||
\(10\) | −1.50000 | − | 2.59808i | −0.474342 | − | 0.821584i | ||||
\(11\) | −3.00000 | −0.904534 | −0.452267 | − | 0.891883i | \(-0.649385\pi\) | ||||
−0.452267 | + | 0.891883i | \(0.649385\pi\) | |||||||
\(12\) | −1.50000 | + | 0.866025i | −0.433013 | + | 0.250000i | ||||
\(13\) | 2.50000 | + | 4.33013i | 0.693375 | + | 1.20096i | 0.970725 | + | 0.240192i | \(0.0772105\pi\) |
−0.277350 | + | 0.960769i | \(0.589456\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 4.50000 | + | 2.59808i | 1.16190 | + | 0.670820i | ||||
\(16\) | −0.500000 | − | 0.866025i | −0.125000 | − | 0.216506i | ||||
\(17\) | 1.50000 | + | 2.59808i | 0.363803 | + | 0.630126i | 0.988583 | − | 0.150675i | \(-0.0481447\pi\) |
−0.624780 | + | 0.780801i | \(0.714811\pi\) | |||||||
\(18\) | 1.50000 | − | 2.59808i | 0.353553 | − | 0.612372i | ||||
\(19\) | 2.50000 | − | 4.33013i | 0.573539 | − | 0.993399i | −0.422659 | − | 0.906289i | \(-0.638903\pi\) |
0.996199 | − | 0.0871106i | \(-0.0277634\pi\) | |||||||
\(20\) | −1.50000 | + | 2.59808i | −0.335410 | + | 0.580948i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 1.50000 | + | 2.59808i | 0.319801 | + | 0.553912i | ||||
\(23\) | −3.00000 | −0.625543 | −0.312772 | − | 0.949828i | \(-0.601257\pi\) | ||||
−0.312772 | + | 0.949828i | \(0.601257\pi\) | |||||||
\(24\) | 1.50000 | + | 0.866025i | 0.306186 | + | 0.176777i | ||||
\(25\) | 4.00000 | 0.800000 | ||||||||
\(26\) | 2.50000 | − | 4.33013i | 0.490290 | − | 0.849208i | ||||
\(27\) | 5.19615i | 1.00000i | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 1.50000 | − | 2.59808i | 0.278543 | − | 0.482451i | −0.692480 | − | 0.721437i | \(-0.743482\pi\) |
0.971023 | + | 0.238987i | \(0.0768152\pi\) | |||||||
\(30\) | − | 5.19615i | − | 0.948683i | ||||||
\(31\) | −2.00000 | + | 3.46410i | −0.359211 | + | 0.622171i | −0.987829 | − | 0.155543i | \(-0.950287\pi\) |
0.628619 | + | 0.777714i | \(0.283621\pi\) | |||||||
\(32\) | −0.500000 | + | 0.866025i | −0.0883883 | + | 0.153093i | ||||
\(33\) | −4.50000 | − | 2.59808i | −0.783349 | − | 0.452267i | ||||
\(34\) | 1.50000 | − | 2.59808i | 0.257248 | − | 0.445566i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | −3.00000 | −0.500000 | ||||||||
\(37\) | 3.50000 | − | 6.06218i | 0.575396 | − | 0.996616i | −0.420602 | − | 0.907245i | \(-0.638181\pi\) |
0.995998 | − | 0.0893706i | \(-0.0284856\pi\) | |||||||
\(38\) | −5.00000 | −0.811107 | ||||||||
\(39\) | 8.66025i | 1.38675i | ||||||||
\(40\) | 3.00000 | 0.474342 | ||||||||
\(41\) | −4.50000 | − | 7.79423i | −0.702782 | − | 1.21725i | −0.967486 | − | 0.252924i | \(-0.918608\pi\) |
0.264704 | − | 0.964330i | \(-0.414726\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −5.50000 | + | 9.52628i | −0.838742 | + | 1.45274i | 0.0522047 | + | 0.998636i | \(0.483375\pi\) |
−0.890947 | + | 0.454108i | \(0.849958\pi\) | |||||||
\(44\) | 1.50000 | − | 2.59808i | 0.226134 | − | 0.391675i | ||||
\(45\) | 4.50000 | + | 7.79423i | 0.670820 | + | 1.16190i | ||||
\(46\) | 1.50000 | + | 2.59808i | 0.221163 | + | 0.383065i | ||||
\(47\) | 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 | ||||
\(51\) | 5.19615i | 0.727607i | ||||||||
\(52\) | −5.00000 | −0.693375 | ||||||||
\(53\) | 1.50000 | + | 2.59808i | 0.206041 | + | 0.356873i | 0.950464 | − | 0.310835i | \(-0.100609\pi\) |
−0.744423 | + | 0.667708i | \(0.767275\pi\) | |||||||
\(54\) | 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 | ||||
\(58\) | −3.00000 | −0.393919 | ||||||||
\(59\) | 6.00000 | − | 10.3923i | 0.781133 | − | 1.35296i | −0.150148 | − | 0.988663i | \(-0.547975\pi\) |
0.931282 | − | 0.364299i | \(-0.118692\pi\) | |||||||
\(60\) | −4.50000 | + | 2.59808i | −0.580948 | + | 0.335410i | ||||
\(61\) | 1.00000 | + | 1.73205i | 0.128037 | + | 0.221766i | 0.922916 | − | 0.385002i | \(-0.125799\pi\) |
−0.794879 | + | 0.606768i | \(0.792466\pi\) | |||||||
\(62\) | 4.00000 | 0.508001 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 1.00000 | 0.125000 | ||||||||
\(65\) | 7.50000 | + | 12.9904i | 0.930261 | + | 1.61126i | ||||
\(66\) | 5.19615i | 0.639602i | ||||||||
\(67\) | 2.00000 | − | 3.46410i | 0.244339 | − | 0.423207i | −0.717607 | − | 0.696449i | \(-0.754762\pi\) |
0.961946 | + | 0.273241i | \(0.0880957\pi\) | |||||||
\(68\) | −3.00000 | −0.363803 | ||||||||
\(69\) | −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 | ||||
\(73\) | 5.50000 | + | 9.52628i | 0.643726 | + | 1.11497i | 0.984594 | + | 0.174855i | \(0.0559458\pi\) |
−0.340868 | + | 0.940111i | \(0.610721\pi\) | |||||||
\(74\) | −7.00000 | −0.813733 | ||||||||
\(75\) | 6.00000 | + | 3.46410i | 0.692820 | + | 0.400000i | ||||
\(76\) | 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 | \(0.981922\pi\) | |||||||
\(80\) | −1.50000 | − | 2.59808i | −0.167705 | − | 0.290474i | ||||
\(81\) | −4.50000 | + | 7.79423i | −0.500000 | + | 0.866025i | ||||
\(82\) | −4.50000 | + | 7.79423i | −0.496942 | + | 0.860729i | ||||
\(83\) | 1.50000 | − | 2.59808i | 0.164646 | − | 0.285176i | −0.771883 | − | 0.635764i | \(-0.780685\pi\) |
0.936530 | + | 0.350588i | \(0.114018\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 4.50000 | + | 7.79423i | 0.488094 | + | 0.845403i | ||||
\(86\) | 11.0000 | 1.18616 | ||||||||
\(87\) | 4.50000 | − | 2.59808i | 0.482451 | − | 0.278543i | ||||
\(88\) | −3.00000 | −0.319801 | ||||||||
\(89\) | 7.50000 | − | 12.9904i | 0.794998 | − | 1.37698i | −0.127842 | − | 0.991795i | \(-0.540805\pi\) |
0.922840 | − | 0.385183i | \(-0.125862\pi\) | |||||||
\(90\) | 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 | \(-0.849500\pi\) |
0.839525 | + | 0.543321i | \(0.182833\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −4.50000 | − | 7.79423i | −0.452267 | − | 0.783349i | ||||
\(100\) | −2.00000 | + | 3.46410i | −0.200000 | + | 0.346410i | ||||
\(101\) | 3.00000 | 0.298511 | 0.149256 | − | 0.988799i | \(-0.452312\pi\) | ||||
0.149256 | + | 0.988799i | \(0.452312\pi\) | |||||||
\(102\) | 4.50000 | − | 2.59808i | 0.445566 | − | 0.257248i | ||||
\(103\) | −5.00000 | −0.492665 | −0.246332 | − | 0.969185i | \(-0.579225\pi\) | ||||
−0.246332 | + | 0.969185i | \(0.579225\pi\) | |||||||
\(104\) | 2.50000 | + | 4.33013i | 0.245145 | + | 0.424604i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 1.50000 | − | 2.59808i | 0.145693 | − | 0.252347i | ||||
\(107\) | 7.50000 | − | 12.9904i | 0.725052 | − | 1.25583i | −0.233900 | − | 0.972261i | \(-0.575149\pi\) |
0.958952 | − | 0.283567i | \(-0.0915178\pi\) | |||||||
\(108\) | −4.50000 | − | 2.59808i | −0.433013 | − | 0.250000i | ||||
\(109\) | 3.50000 | + | 6.06218i | 0.335239 | + | 0.580651i | 0.983531 | − | 0.180741i | \(-0.0578495\pi\) |
−0.648292 | + | 0.761392i | \(0.724516\pi\) | |||||||
\(110\) | 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 | −0.966496 | − | 0.256681i | \(-0.917371\pi\) |
0.260955 | − | 0.965351i | \(-0.415962\pi\) | |||||||
\(114\) | −7.50000 | − | 4.33013i | −0.702439 | − | 0.405554i | ||||
\(115\) | −9.00000 | −0.839254 | ||||||||
\(116\) | 1.50000 | + | 2.59808i | 0.139272 | + | 0.241225i | ||||
\(117\) | −7.50000 | + | 12.9904i | −0.693375 | + | 1.20096i | ||||
\(118\) | −12.0000 | −1.10469 | ||||||||
\(119\) | 0 | 0 | ||||||||
\(120\) | 4.50000 | + | 2.59808i | 0.410792 | + | 0.237171i | ||||
\(121\) | −2.00000 | −0.181818 | ||||||||
\(122\) | 1.00000 | − | 1.73205i | 0.0905357 | − | 0.156813i | ||||
\(123\) | − | 15.5885i | − | 1.40556i | ||||||
\(124\) | −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 | ||||
\(129\) | −16.5000 | + | 9.52628i | −1.45274 | + | 0.838742i | ||||
\(130\) | 7.50000 | − | 12.9904i | 0.657794 | − | 1.13933i | ||||
\(131\) | −3.00000 | −0.262111 | −0.131056 | − | 0.991375i | \(-0.541837\pi\) | ||||
−0.131056 | + | 0.991375i | \(0.541837\pi\) | |||||||
\(132\) | 4.50000 | − | 2.59808i | 0.391675 | − | 0.226134i | ||||
\(133\) | 0 | 0 | ||||||||
\(134\) | −4.00000 | −0.345547 | ||||||||
\(135\) | 15.5885i | 1.34164i | ||||||||
\(136\) | 1.50000 | + | 2.59808i | 0.128624 | + | 0.222783i | ||||
\(137\) | 3.00000 | 0.256307 | 0.128154 | − | 0.991754i | \(-0.459095\pi\) | ||||
0.128154 | + | 0.991754i | \(0.459095\pi\) | |||||||
\(138\) | 5.19615i | 0.442326i | ||||||||
\(139\) | 2.50000 | + | 4.33013i | 0.212047 | + | 0.367277i | 0.952355 | − | 0.304991i | \(-0.0986536\pi\) |
−0.740308 | + | 0.672268i | \(0.765320\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 0 | 0 | ||||||||
\(143\) | −7.50000 | − | 12.9904i | −0.627182 | − | 1.08631i | ||||
\(144\) | 1.50000 | − | 2.59808i | 0.125000 | − | 0.216506i | ||||
\(145\) | 4.50000 | − | 7.79423i | 0.373705 | − | 0.647275i | ||||
\(146\) | 5.50000 | − | 9.52628i | 0.455183 | − | 0.788400i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 3.50000 | + | 6.06218i | 0.287698 | + | 0.498308i | ||||
\(149\) | −3.00000 | −0.245770 | −0.122885 | − | 0.992421i | \(-0.539215\pi\) | ||||
−0.122885 | + | 0.992421i | \(0.539215\pi\) | |||||||
\(150\) | − | 6.92820i | − | 0.565685i | ||||||
\(151\) | 11.0000 | 0.895167 | 0.447584 | − | 0.894242i | \(-0.352285\pi\) | ||||
0.447584 | + | 0.894242i | \(0.352285\pi\) | |||||||
\(152\) | 2.50000 | − | 4.33013i | 0.202777 | − | 0.351220i | ||||
\(153\) | −4.50000 | + | 7.79423i | −0.363803 | + | 0.630126i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −6.00000 | + | 10.3923i | −0.481932 | + | 0.834730i | ||||
\(156\) | −7.50000 | − | 4.33013i | −0.600481 | − | 0.346688i | ||||
\(157\) | 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 | ||||
\(159\) | 5.19615i | 0.412082i | ||||||||
\(160\) | −1.50000 | + | 2.59808i | −0.118585 | + | 0.205396i | ||||
\(161\) | 0 | 0 | ||||||||
\(162\) | 9.00000 | 0.707107 | ||||||||
\(163\) | −8.50000 | + | 14.7224i | −0.665771 | + | 1.15315i | 0.313304 | + | 0.949653i | \(0.398564\pi\) |
−0.979076 | + | 0.203497i | \(0.934769\pi\) | |||||||
\(164\) | 9.00000 | 0.702782 | ||||||||
\(165\) | −13.5000 | − | 7.79423i | −1.05097 | − | 0.606780i | ||||
\(166\) | −3.00000 | −0.232845 | ||||||||
\(167\) | 1.50000 | + | 2.59808i | 0.116073 | + | 0.201045i | 0.918208 | − | 0.396098i | \(-0.129636\pi\) |
−0.802135 | + | 0.597143i | \(0.796303\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −6.00000 | + | 10.3923i | −0.461538 | + | 0.799408i | ||||
\(170\) | 4.50000 | − | 7.79423i | 0.345134 | − | 0.597790i | ||||
\(171\) | 15.0000 | 1.14708 | ||||||||
\(172\) | −5.50000 | − | 9.52628i | −0.419371 | − | 0.726372i | ||||
\(173\) | 3.00000 | + | 5.19615i | 0.228086 | + | 0.395056i | 0.957241 | − | 0.289292i | \(-0.0934200\pi\) |
−0.729155 | + | 0.684349i | \(0.760087\pi\) | |||||||
\(174\) | −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 | ||||
\(178\) | −15.0000 | −1.12430 | ||||||||
\(179\) | −1.50000 | − | 2.59808i | −0.112115 | − | 0.194189i | 0.804508 | − | 0.593942i | \(-0.202429\pi\) |
−0.916623 | + | 0.399753i | \(0.869096\pi\) | |||||||
\(180\) | −9.00000 | −0.670820 | ||||||||
\(181\) | 10.0000 | 0.743294 | 0.371647 | − | 0.928374i | \(-0.378793\pi\) | ||||
0.371647 | + | 0.928374i | \(0.378793\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 3.46410i | 0.256074i | ||||||||
\(184\) | −3.00000 | −0.221163 | ||||||||
\(185\) | 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 | \(0.998575\pi\) | |||||||
\(194\) | 1.00000 | 0.0717958 | ||||||||
\(195\) | 25.9808i | 1.86052i | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −6.00000 | −0.427482 | −0.213741 | − | 0.976890i | \(-0.568565\pi\) | ||||
−0.213741 | + | 0.976890i | \(0.568565\pi\) | |||||||
\(198\) | −4.50000 | + | 7.79423i | −0.319801 | + | 0.553912i | ||||
\(199\) | −3.50000 | − | 6.06218i | −0.248108 | − | 0.429736i | 0.714893 | − | 0.699234i | \(-0.246476\pi\) |
−0.963001 | + | 0.269498i | \(0.913142\pi\) | |||||||
\(200\) | 4.00000 | 0.282843 | ||||||||
\(201\) | 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 | ||||
\(206\) | 2.50000 | + | 4.33013i | 0.174183 | + | 0.301694i | ||||
\(207\) | −4.50000 | − | 7.79423i | −0.312772 | − | 0.541736i | ||||
\(208\) | 2.50000 | − | 4.33013i | 0.173344 | − | 0.300240i | ||||
\(209\) | −7.50000 | + | 12.9904i | −0.518786 | + | 0.898563i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −2.50000 | − | 4.33013i | −0.172107 | − | 0.298098i | 0.767049 | − | 0.641588i | \(-0.221724\pi\) |
−0.939156 | + | 0.343490i | \(0.888391\pi\) | |||||||
\(212\) | −3.00000 | −0.206041 | ||||||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −15.0000 | −1.02538 | ||||||||
\(215\) | −16.5000 | + | 28.5788i | −1.12529 | + | 1.94906i | ||||
\(216\) | 5.19615i | 0.353553i | ||||||||
\(217\) | 0 | 0 | ||||||||
\(218\) | 3.50000 | − | 6.06218i | 0.237050 | − | 0.410582i | ||||
\(219\) | 19.0526i | 1.28745i | ||||||||
\(220\) | 4.50000 | − | 7.79423i | 0.303390 | − | 0.525487i | ||||
\(221\) | −7.50000 | + | 12.9904i | −0.504505 | + | 0.873828i | ||||
\(222\) | −10.5000 | − | 6.06218i | −0.704714 | − | 0.406867i | ||||
\(223\) | 8.50000 | − | 14.7224i | 0.569202 | − | 0.985887i | −0.427443 | − | 0.904042i | \(-0.640586\pi\) |
0.996645 | − | 0.0818447i | \(-0.0260811\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 6.00000 | + | 10.3923i | 0.400000 | + | 0.692820i | ||||
\(226\) | −7.50000 | + | 12.9904i | −0.498893 | + | 0.864107i | ||||
\(227\) | −9.00000 | −0.597351 | −0.298675 | − | 0.954355i | \(-0.596545\pi\) | ||||
−0.298675 | + | 0.954355i | \(0.596545\pi\) | |||||||
\(228\) | 8.66025i | 0.573539i | ||||||||
\(229\) | −17.0000 | −1.12339 | −0.561696 | − | 0.827344i | \(-0.689851\pi\) | ||||
−0.561696 | + | 0.827344i | \(0.689851\pi\) | |||||||
\(230\) | 4.50000 | + | 7.79423i | 0.296721 | + | 0.513936i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 1.50000 | − | 2.59808i | 0.0984798 | − | 0.170572i | ||||
\(233\) | −13.5000 | + | 23.3827i | −0.884414 | + | 1.53185i | −0.0380310 | + | 0.999277i | \(0.512109\pi\) |
−0.846383 | + | 0.532574i | \(0.821225\pi\) | |||||||
\(234\) | 15.0000 | 0.980581 | ||||||||
\(235\) | 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 | −0.858623 | − | 0.512607i | \(-0.828680\pi\) |
−0.0146191 | − | 0.999893i | \(-0.504654\pi\) | |||||||
\(240\) | − | 5.19615i | − | 0.335410i | ||||||
\(241\) | −23.0000 | −1.48156 | −0.740780 | − | 0.671748i | \(-0.765544\pi\) | ||||
−0.740780 | + | 0.671748i | \(0.765544\pi\) | |||||||
\(242\) | 1.00000 | + | 1.73205i | 0.0642824 | + | 0.111340i | ||||
\(243\) | −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 | ||||
\(247\) | 25.0000 | 1.59071 | ||||||||
\(248\) | −2.00000 | + | 3.46410i | −0.127000 | + | 0.219971i | ||||
\(249\) | 4.50000 | − | 2.59808i | 0.285176 | − | 0.164646i | ||||
\(250\) | 1.50000 | + | 2.59808i | 0.0948683 | + | 0.164317i | ||||
\(251\) | −12.0000 | −0.757433 | −0.378717 | − | 0.925513i | \(-0.623635\pi\) | ||||
−0.378717 | + | 0.925513i | \(0.623635\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 9.00000 | 0.565825 | ||||||||
\(254\) | 8.00000 | + | 13.8564i | 0.501965 | + | 0.869428i | ||||
\(255\) | 15.5885i | 0.976187i | ||||||||
\(256\) | −0.500000 | + | 0.866025i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | −15.0000 | −0.935674 | −0.467837 | − | 0.883815i | \(-0.654967\pi\) | ||||
−0.467837 | + | 0.883815i | \(0.654967\pi\) | |||||||
\(258\) | 16.5000 | + | 9.52628i | 1.02725 | + | 0.593080i | ||||
\(259\) | 0 | 0 | ||||||||
\(260\) | −15.0000 | −0.930261 | ||||||||
\(261\) | 9.00000 | 0.557086 | ||||||||
\(262\) | 1.50000 | + | 2.59808i | 0.0926703 | + | 0.160510i | ||||
\(263\) | −9.00000 | −0.554964 | −0.277482 | − | 0.960731i | \(-0.589500\pi\) | ||||
−0.277482 | + | 0.960731i | \(0.589500\pi\) | |||||||
\(264\) | −4.50000 | − | 2.59808i | −0.276956 | − | 0.159901i | ||||
\(265\) | 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 | ||||
\(269\) | 10.5000 | + | 18.1865i | 0.640196 | + | 1.10885i | 0.985389 | + | 0.170321i | \(0.0544803\pi\) |
−0.345192 | + | 0.938532i | \(0.612186\pi\) | |||||||
\(270\) | 13.5000 | − | 7.79423i | 0.821584 | − | 0.474342i | ||||
\(271\) | −6.50000 | + | 11.2583i | −0.394847 | + | 0.683895i | −0.993082 | − | 0.117426i | \(-0.962536\pi\) |
0.598235 | + | 0.801321i | \(0.295869\pi\) | |||||||
\(272\) | 1.50000 | − | 2.59808i | 0.0909509 | − | 0.157532i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −1.50000 | − | 2.59808i | −0.0906183 | − | 0.156956i | ||||
\(275\) | −12.0000 | −0.723627 | ||||||||
\(276\) | 4.50000 | − | 2.59808i | 0.270868 | − | 0.156386i | ||||
\(277\) | −7.00000 | −0.420589 | −0.210295 | − | 0.977638i | \(-0.567442\pi\) | ||||
−0.210295 | + | 0.977638i | \(0.567442\pi\) | |||||||
\(278\) | 2.50000 | − | 4.33013i | 0.149940 | − | 0.259704i | ||||
\(279\) | −12.0000 | −0.718421 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −1.50000 | + | 2.59808i | −0.0894825 | + | 0.154988i | −0.907293 | − | 0.420500i | \(-0.861855\pi\) |
0.817810 | + | 0.575488i | \(0.195188\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 4.00000 | − | 6.92820i | 0.237775 | − | 0.411839i | −0.722300 | − | 0.691580i | \(-0.756915\pi\) |
0.960076 | + | 0.279741i | \(0.0902485\pi\) | |||||||
\(284\) | 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 | ||||||||
\(289\) | 4.00000 | − | 6.92820i | 0.235294 | − | 0.407541i | ||||
\(290\) | −9.00000 | −0.528498 | ||||||||
\(291\) | −1.50000 | + | 0.866025i | −0.0879316 | + | 0.0507673i | ||||
\(292\) | −11.0000 | −0.643726 | ||||||||
\(293\) | −13.5000 | − | 23.3827i | −0.788678 | − | 1.36603i | −0.926777 | − | 0.375613i | \(-0.877432\pi\) |
0.138098 | − | 0.990419i | \(-0.455901\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 18.0000 | − | 31.1769i | 1.04800 | − | 1.81519i | ||||
\(296\) | 3.50000 | − | 6.06218i | 0.203433 | − | 0.352357i | ||||
\(297\) | − | 15.5885i | − | 0.904534i | ||||||
\(298\) | 1.50000 | + | 2.59808i | 0.0868927 | + | 0.150503i | ||||
\(299\) | −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 | ||||
\(303\) | 4.50000 | + | 2.59808i | 0.258518 | + | 0.149256i | ||||
\(304\) | −5.00000 | −0.286770 | ||||||||
\(305\) | 3.00000 | + | 5.19615i | 0.171780 | + | 0.297531i | ||||
\(306\) | 9.00000 | 0.514496 | ||||||||
\(307\) | 28.0000 | 1.59804 | 0.799022 | − | 0.601302i | \(-0.205351\pi\) | ||||
0.799022 | + | 0.601302i | \(0.205351\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −7.50000 | − | 4.33013i | −0.426660 | − | 0.246332i | ||||
\(310\) | 12.0000 | 0.681554 | ||||||||
\(311\) | −12.0000 | + | 20.7846i | −0.680458 | + | 1.17859i | 0.294384 | + | 0.955687i | \(0.404886\pi\) |
−0.974841 | + | 0.222900i | \(0.928448\pi\) | |||||||
\(312\) | 8.66025i | 0.490290i | ||||||||
\(313\) | 7.00000 | + | 12.1244i | 0.395663 | + | 0.685309i | 0.993186 | − | 0.116543i | \(-0.0371814\pi\) |
−0.597522 | + | 0.801852i | \(0.703848\pi\) | |||||||
\(314\) | −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 | \(-0.485574\pi\) | |||||||
\(318\) | 4.50000 | − | 2.59808i | 0.252347 | − | 0.145693i | ||||
\(319\) | −4.50000 | + | 7.79423i | −0.251952 | + | 0.436393i | ||||
\(320\) | 3.00000 | 0.167705 | ||||||||
\(321\) | 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 | ||||
\(325\) | 10.0000 | + | 17.3205i | 0.554700 | + | 0.960769i | ||||
\(326\) | 17.0000 | 0.941543 | ||||||||
\(327\) | 12.1244i | 0.670478i | ||||||||
\(328\) | −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 | \(-0.351905\pi\) | |||||||
\(332\) | 1.50000 | + | 2.59808i | 0.0823232 | + | 0.142588i | ||||
\(333\) | 21.0000 | 1.15079 | ||||||||
\(334\) | 1.50000 | − | 2.59808i | 0.0820763 | − | 0.142160i | ||||
\(335\) | 6.00000 | − | 10.3923i | 0.327815 | − | 0.567792i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 12.5000 | + | 21.6506i | 0.680918 | + | 1.17939i | 0.974701 | + | 0.223513i | \(0.0717525\pi\) |
−0.293783 | + | 0.955872i | \(0.594914\pi\) | |||||||
\(338\) | 12.0000 | 0.652714 | ||||||||
\(339\) | − | 25.9808i | − | 1.41108i | ||||||
\(340\) | −9.00000 | −0.488094 | ||||||||
\(341\) | 6.00000 | − | 10.3923i | 0.324918 | − | 0.562775i | ||||
\(342\) | −7.50000 | − | 12.9904i | −0.405554 | − | 0.702439i | ||||
\(343\) | 0 | 0 | ||||||||
\(344\) | −5.50000 | + | 9.52628i | −0.296540 | + | 0.513623i | ||||
\(345\) | −13.5000 | − | 7.79423i | −0.726816 | − | 0.419627i | ||||
\(346\) | 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 | \(0.0622790\pi\) | |||||||
\(348\) | 5.19615i | 0.278543i | ||||||||
\(349\) | 2.50000 | − | 4.33013i | 0.133822 | − | 0.231786i | −0.791325 | − | 0.611396i | \(-0.790608\pi\) |
0.925147 | + | 0.379610i | \(0.123942\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −22.5000 | + | 12.9904i | −1.20096 | + | 0.693375i | ||||
\(352\) | 1.50000 | − | 2.59808i | 0.0799503 | − | 0.138478i | ||||
\(353\) | 9.00000 | 0.479022 | 0.239511 | − | 0.970894i | \(-0.423013\pi\) | ||||
0.239511 | + | 0.970894i | \(0.423013\pi\) | |||||||
\(354\) | −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 | ||||
\(359\) | −7.50000 | + | 12.9904i | −0.395835 | + | 0.685606i | −0.993207 | − | 0.116358i | \(-0.962878\pi\) |
0.597372 | + | 0.801964i | \(0.296211\pi\) | |||||||
\(360\) | 4.50000 | + | 7.79423i | 0.237171 | + | 0.410792i | ||||
\(361\) | −3.00000 | − | 5.19615i | −0.157895 | − | 0.273482i | ||||
\(362\) | −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 | ||||
\(367\) | 1.00000 | 0.0521996 | 0.0260998 | − | 0.999659i | \(-0.491691\pi\) | ||||
0.0260998 | + | 0.999659i | \(0.491691\pi\) | |||||||
\(368\) | 1.50000 | + | 2.59808i | 0.0781929 | + | 0.135434i | ||||
\(369\) | 13.5000 | − | 23.3827i | 0.702782 | − | 1.21725i | ||||
\(370\) | −21.0000 | −1.09174 | ||||||||
\(371\) | 0 | 0 | ||||||||
\(372\) | − | 6.92820i | − | 0.359211i | ||||||
\(373\) | 17.0000 | 0.880227 | 0.440113 | − | 0.897942i | \(-0.354938\pi\) | ||||
0.440113 | + | 0.897942i | \(0.354938\pi\) | |||||||
\(374\) | −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 | ||||
\(383\) | 15.0000 | 0.766464 | 0.383232 | − | 0.923652i | \(-0.374811\pi\) | ||||
0.383232 | + | 0.923652i | \(0.374811\pi\) | |||||||
\(384\) | − | 1.73205i | − | 0.0883883i | ||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 14.0000 | 0.712581 | ||||||||
\(387\) | −33.0000 | −1.67748 | ||||||||
\(388\) | −0.500000 | − | 0.866025i | −0.0253837 | − | 0.0439658i | ||||
\(389\) | 9.00000 | 0.456318 | 0.228159 | − | 0.973624i | \(-0.426729\pi\) | ||||
0.228159 | + | 0.973624i | \(0.426729\pi\) | |||||||
\(390\) | 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 | ||||
\(395\) | −12.0000 | − | 20.7846i | −0.603786 | − | 1.04579i | ||||
\(396\) | 9.00000 | 0.452267 | ||||||||
\(397\) | 14.5000 | − | 25.1147i | 0.727734 | − | 1.26047i | −0.230105 | − | 0.973166i | \(-0.573907\pi\) |
0.957839 | − | 0.287307i | \(-0.0927599\pi\) | |||||||
\(398\) | −3.50000 | + | 6.06218i | −0.175439 | + | 0.303870i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −2.00000 | − | 3.46410i | −0.100000 | − | 0.173205i | ||||
\(401\) | 27.0000 | 1.34832 | 0.674158 | − | 0.738587i | \(-0.264507\pi\) | ||||
0.674158 | + | 0.738587i | \(0.264507\pi\) | |||||||
\(402\) | −6.00000 | − | 3.46410i | −0.299253 | − | 0.172774i | ||||
\(403\) | −20.0000 | −0.996271 | ||||||||
\(404\) | −1.50000 | + | 2.59808i | −0.0746278 | + | 0.129259i | ||||
\(405\) | −13.5000 | + | 23.3827i | −0.670820 | + | 1.16190i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −10.5000 | + | 18.1865i | −0.520466 | + | 0.901473i | ||||
\(408\) | 5.19615i | 0.257248i | ||||||||
\(409\) | −11.0000 | + | 19.0526i | −0.543915 | + | 0.942088i | 0.454759 | + | 0.890614i | \(0.349725\pi\) |
−0.998674 | + | 0.0514740i | \(0.983608\pi\) | |||||||
\(410\) | −13.5000 | + | 23.3827i | −0.666717 | + | 1.15479i | ||||
\(411\) | 4.50000 | + | 2.59808i | 0.221969 | + | 0.128154i | ||||
\(412\) | 2.50000 | − | 4.33013i | 0.123166 | − | 0.213330i | ||||
\(413\) | 0 | 0 | ||||||||
\(414\) | −4.50000 | + | 7.79423i | −0.221163 | + | 0.383065i | ||||
\(415\) | 4.50000 | − | 7.79423i | 0.220896 | − | 0.382604i | ||||
\(416\) | −5.00000 | −0.245145 | ||||||||
\(417\) | 8.66025i | 0.424094i | ||||||||
\(418\) | 15.0000 | 0.733674 | ||||||||
\(419\) | −1.50000 | − | 2.59808i | −0.0732798 | − | 0.126924i | 0.827057 | − | 0.562118i | \(-0.190013\pi\) |
−0.900337 | + | 0.435194i | \(0.856680\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 15.5000 | − | 26.8468i | 0.755424 | − | 1.30843i | −0.189740 | − | 0.981834i | \(-0.560764\pi\) |
0.945163 | − | 0.326598i | \(-0.105902\pi\) | |||||||
\(422\) | −2.50000 | + | 4.33013i | −0.121698 | + | 0.210787i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 1.50000 | + | 2.59808i | 0.0728464 | + | 0.126174i | ||||
\(425\) | 6.00000 | + | 10.3923i | 0.291043 | + | 0.504101i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 0 | 0 | ||||||||
\(428\) | 7.50000 | + | 12.9904i | 0.362526 | + | 0.627914i | ||||
\(429\) | − | 25.9808i | − | 1.25436i | ||||||
\(430\) | 33.0000 | 1.59140 | ||||||||
\(431\) | 1.50000 | + | 2.59808i | 0.0722525 | + | 0.125145i | 0.899888 | − | 0.436121i | \(-0.143648\pi\) |
−0.827636 | + | 0.561266i | \(0.810315\pi\) | |||||||
\(432\) | 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 | ||||||||
\(435\) | 13.5000 | − | 7.79423i | 0.647275 | − | 0.373705i | ||||
\(436\) | −7.00000 | −0.335239 | ||||||||
\(437\) | −7.50000 | + | 12.9904i | −0.358774 | + | 0.621414i | ||||
\(438\) | 16.5000 | − | 9.52628i | 0.788400 | − | 0.455183i | ||||
\(439\) | 4.00000 | + | 6.92820i | 0.190910 | + | 0.330665i | 0.945552 | − | 0.325471i | \(-0.105523\pi\) |
−0.754642 | + | 0.656136i | \(0.772190\pi\) | |||||||
\(440\) | −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 | \(0.833333\pi\) | |||||||
\(444\) | 12.1244i | 0.575396i | ||||||||
\(445\) | 22.5000 | − | 38.9711i | 1.06660 | − | 1.84741i | ||||
\(446\) | −17.0000 | −0.804973 | ||||||||
\(447\) | −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 | \(0.249646\pi\) | |||||||
\(450\) | 6.00000 | − | 10.3923i | 0.282843 | − | 0.489898i | ||||
\(451\) | 13.5000 | + | 23.3827i | 0.635690 | + | 1.10105i | ||||
\(452\) | 15.0000 | 0.705541 | ||||||||
\(453\) | 16.5000 | + | 9.52628i | 0.775238 | + | 0.447584i | ||||
\(454\) | 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 | \(0.540685\pi\) | |||||||
\(458\) | 8.50000 | + | 14.7224i | 0.397179 | + | 0.687934i | ||||
\(459\) | −13.5000 | + | 7.79423i | −0.630126 | + | 0.363803i | ||||
\(460\) | 4.50000 | − | 7.79423i | 0.209814 | − | 0.363408i | ||||
\(461\) | 4.50000 | − | 7.79423i | 0.209586 | − | 0.363013i | −0.741998 | − | 0.670402i | \(-0.766122\pi\) |
0.951584 | + | 0.307388i | \(0.0994551\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −17.5000 | − | 30.3109i | −0.813294 | − | 1.40867i | −0.910546 | − | 0.413407i | \(-0.864339\pi\) |
0.0972525 | − | 0.995260i | \(-0.468995\pi\) | |||||||
\(464\) | −3.00000 | −0.139272 | ||||||||
\(465\) | −18.0000 | + | 10.3923i | −0.834730 | + | 0.481932i | ||||
\(466\) | 27.0000 | 1.25075 | ||||||||
\(467\) | −1.50000 | + | 2.59808i | −0.0694117 | + | 0.120225i | −0.898642 | − | 0.438682i | \(-0.855446\pi\) |
0.829231 | + | 0.558906i | \(0.188779\pi\) | |||||||
\(468\) | −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 | ||||
\(478\) | −13.5000 | + | 23.3827i | −0.617476 | + | 1.06950i | ||||
\(479\) | 9.00000 | 0.411220 | 0.205610 | − | 0.978634i | \(-0.434082\pi\) | ||||
0.205610 | + | 0.978634i | \(0.434082\pi\) | |||||||
\(480\) | −4.50000 | + | 2.59808i | −0.205396 | + | 0.118585i | ||||
\(481\) | 35.0000 | 1.59586 | ||||||||
\(482\) | 11.5000 | + | 19.9186i | 0.523811 | + | 0.907267i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 1.00000 | − | 1.73205i | 0.0454545 | − | 0.0787296i | ||||
\(485\) | −1.50000 | + | 2.59808i | −0.0681115 | + | 0.117973i | ||||
\(486\) | 13.5000 | + | 7.79423i | 0.612372 | + | 0.353553i | ||||
\(487\) | 15.5000 | + | 26.8468i | 0.702372 | + | 1.21654i | 0.967632 | + | 0.252367i | \(0.0812090\pi\) |
−0.265260 | + | 0.964177i | \(0.585458\pi\) | |||||||
\(488\) | 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 | 0.851314 | + | 0.524656i | \(0.175806\pi\) |
0.0287085 | + | 0.999588i | \(0.490861\pi\) | |||||||
\(492\) | 13.5000 | + | 7.79423i | 0.608627 | + | 0.351391i | ||||
\(493\) | 9.00000 | 0.405340 | ||||||||
\(494\) | −12.5000 | − | 21.6506i | −0.562402 | − | 0.974108i | ||||
\(495\) | −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 | ||||
\(499\) | 11.0000 | 0.492428 | 0.246214 | − | 0.969216i | \(-0.420813\pi\) | ||||
0.246214 | + | 0.969216i | \(0.420813\pi\) | |||||||
\(500\) | 1.50000 | − | 2.59808i | 0.0670820 | − | 0.116190i | ||||
\(501\) | 5.19615i | 0.232147i | ||||||||
\(502\) | 6.00000 | + | 10.3923i | 0.267793 | + | 0.463831i | ||||
\(503\) | 12.0000 | 0.535054 | 0.267527 | − | 0.963550i | \(-0.413794\pi\) | ||||
0.267527 | + | 0.963550i | \(0.413794\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 9.00000 | 0.400495 | ||||||||
\(506\) | −4.50000 | − | 7.79423i | −0.200049 | − | 0.346496i | ||||
\(507\) | −18.0000 | + | 10.3923i | −0.799408 | + | 0.461538i | ||||
\(508\) | 8.00000 | − | 13.8564i | 0.354943 | − | 0.614779i | ||||
\(509\) | 27.0000 | 1.19675 | 0.598377 | − | 0.801215i | \(-0.295813\pi\) | ||||
0.598377 | + | 0.801215i | \(0.295813\pi\) | |||||||
\(510\) | 13.5000 | − | 7.79423i | 0.597790 | − | 0.345134i | ||||
\(511\) | 0 | 0 | ||||||||
\(512\) | 1.00000 | 0.0441942 | ||||||||
\(513\) | 22.5000 | + | 12.9904i | 0.993399 | + | 0.573539i | ||||
\(514\) | 7.50000 | + | 12.9904i | 0.330811 | + | 0.572981i | ||||
\(515\) | −15.0000 | −0.660979 | ||||||||
\(516\) | − | 19.0526i | − | 0.838742i | ||||||
\(517\) | 0 | 0 | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 10.3923i | 0.456172i | ||||||||
\(520\) | 7.50000 | + | 12.9904i | 0.328897 | + | 0.569666i | ||||
\(521\) | 1.50000 | + | 2.59808i | 0.0657162 | + | 0.113824i | 0.897011 | − | 0.442007i | \(-0.145733\pi\) |
−0.831295 | + | 0.555831i | \(0.812400\pi\) | |||||||
\(522\) | −4.50000 | − | 7.79423i | −0.196960 | − | 0.341144i | ||||
\(523\) | −3.50000 | + | 6.06218i | −0.153044 | + | 0.265081i | −0.932345 | − | 0.361569i | \(-0.882241\pi\) |
0.779301 | + | 0.626650i | \(0.215574\pi\) | |||||||
\(524\) | 1.50000 | − | 2.59808i | 0.0655278 | − | 0.113497i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 4.50000 | + | 7.79423i | 0.196209 | + | 0.339845i | ||||
\(527\) | −12.0000 | −0.522728 | ||||||||
\(528\) | 5.19615i | 0.226134i | ||||||||
\(529\) | −14.0000 | −0.608696 | ||||||||
\(530\) | 4.50000 | − | 7.79423i | 0.195468 | − | 0.338560i | ||||
\(531\) | 36.0000 | 1.56227 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 22.5000 | − | 38.9711i | 0.974583 | − | 1.68803i | ||||
\(534\) | −22.5000 | − | 12.9904i | −0.973670 | − | 0.562149i | ||||
\(535\) | 22.5000 | − | 38.9711i | 0.972760 | − | 1.68487i | ||||
\(536\) | 2.00000 | − | 3.46410i | 0.0863868 | − | 0.149626i | ||||
\(537\) | − | 5.19615i | − | 0.224231i | ||||||
\(538\) | 10.5000 | − | 18.1865i | 0.452687 | − | 0.784077i | ||||
\(539\) | 0 | 0 | ||||||||
\(540\) | −13.5000 | − | 7.79423i | −0.580948 | − | 0.335410i | ||||
\(541\) | −8.50000 | + | 14.7224i | −0.365444 | + | 0.632967i | −0.988847 | − | 0.148933i | \(-0.952416\pi\) |
0.623404 | + | 0.781900i | \(0.285749\pi\) | |||||||
\(542\) | 13.0000 | 0.558398 | ||||||||
\(543\) | 15.0000 | + | 8.66025i | 0.643712 | + | 0.371647i | ||||
\(544\) | −3.00000 | −0.128624 | ||||||||
\(545\) | 10.5000 | + | 18.1865i | 0.449771 | + | 0.779026i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −5.50000 | + | 9.52628i | −0.235163 | + | 0.407314i | −0.959320 | − | 0.282321i | \(-0.908896\pi\) |
0.724157 | + | 0.689635i | \(0.242229\pi\) | |||||||
\(548\) | −1.50000 | + | 2.59808i | −0.0640768 | + | 0.110984i | ||||
\(549\) | −3.00000 | + | 5.19615i | −0.128037 | + | 0.221766i | ||||
\(550\) | 6.00000 | + | 10.3923i | 0.255841 | + | 0.443129i | ||||
\(551\) | −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 | ||||
\(556\) | −5.00000 | −0.212047 | ||||||||
\(557\) | 1.50000 | + | 2.59808i | 0.0635570 | + | 0.110084i | 0.896053 | − | 0.443947i | \(-0.146422\pi\) |
−0.832496 | + | 0.554031i | \(0.813089\pi\) | |||||||
\(558\) | 6.00000 | + | 10.3923i | 0.254000 | + | 0.439941i | ||||
\(559\) | −55.0000 | −2.32625 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | − | 15.5885i | − | 0.658145i | ||||||
\(562\) | 3.00000 | 0.126547 | ||||||||
\(563\) | −6.00000 | + | 10.3923i | −0.252870 | + | 0.437983i | −0.964315 | − | 0.264758i | \(-0.914708\pi\) |
0.711445 | + | 0.702742i | \(0.248041\pi\) | |||||||
\(564\) | 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 | \(0.304106\pi\) | |||||||
\(572\) | 15.0000 | 0.627182 | ||||||||
\(573\) | − | 20.7846i | − | 0.868290i | ||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −12.0000 | −0.500435 | ||||||||
\(576\) | 1.50000 | + | 2.59808i | 0.0625000 | + | 0.108253i | ||||
\(577\) | 5.50000 | + | 9.52628i | 0.228968 | + | 0.396584i | 0.957503 | − | 0.288425i | \(-0.0931316\pi\) |
−0.728535 | + | 0.685009i | \(0.759798\pi\) | |||||||
\(578\) | −8.00000 | −0.332756 | ||||||||
\(579\) | −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 | ||||
\(584\) | 5.50000 | + | 9.52628i | 0.227592 | + | 0.394200i | ||||
\(585\) | −22.5000 | + | 38.9711i | −0.930261 | + | 1.61126i | ||||
\(586\) | −13.5000 | + | 23.3827i | −0.557680 | + | 0.965930i | ||||
\(587\) | −16.5000 | + | 28.5788i | −0.681028 | + | 1.17957i | 0.293640 | + | 0.955916i | \(0.405133\pi\) |
−0.974668 | + | 0.223659i | \(0.928200\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 10.0000 | + | 17.3205i | 0.412043 | + | 0.713679i | ||||
\(590\) | −36.0000 | −1.48210 | ||||||||
\(591\) | −9.00000 | − | 5.19615i | −0.370211 | − | 0.213741i | ||||
\(592\) | −7.00000 | −0.287698 | ||||||||
\(593\) | −10.5000 | + | 18.1865i | −0.431183 | + | 0.746831i | −0.996976 | − | 0.0777165i | \(-0.975237\pi\) |
0.565792 | + | 0.824548i | \(0.308570\pi\) | |||||||
\(594\) | −13.5000 | + | 7.79423i | −0.553912 | + | 0.319801i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 1.50000 | − | 2.59808i | 0.0614424 | − | 0.106421i | ||||
\(597\) | − | 12.1244i | − | 0.496217i | ||||||
\(598\) | −7.50000 | + | 12.9904i | −0.306698 | + | 0.531216i | ||||
\(599\) | 0 | 0 | −0.866025 | − | 0.500000i | \(-0.833333\pi\) | ||||
0.866025 | + | 0.500000i | \(0.166667\pi\) | |||||||
\(600\) | 6.00000 | + | 3.46410i | 0.244949 | + | 0.141421i | ||||
\(601\) | −0.500000 | + | 0.866025i | −0.0203954 | + | 0.0353259i | −0.876043 | − | 0.482233i | \(-0.839826\pi\) |
0.855648 | + | 0.517559i | \(0.173159\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 12.0000 | 0.488678 | ||||||||
\(604\) | −5.50000 | + | 9.52628i | −0.223792 | + | 0.387619i | ||||
\(605\) | −6.00000 | −0.243935 | ||||||||
\(606\) | − | 5.19615i | − | 0.211079i | ||||||
\(607\) | 43.0000 | 1.74532 | 0.872658 | − | 0.488332i | \(-0.162394\pi\) | ||||
0.872658 | + | 0.488332i | \(0.162394\pi\) | |||||||
\(608\) | 2.50000 | + | 4.33013i | 0.101388 | + | 0.175610i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 3.00000 | − | 5.19615i | 0.121466 | − | 0.210386i | ||||
\(611\) | 0 | 0 | ||||||||
\(612\) | −4.50000 | − | 7.79423i | −0.181902 | − | 0.315063i | ||||
\(613\) | 15.5000 | + | 26.8468i | 0.626039 | + | 1.08433i | 0.988339 | + | 0.152270i | \(0.0486583\pi\) |
−0.362300 | + | 0.932062i | \(0.618008\pi\) | |||||||
\(614\) | −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 | 0.834251 | − | 0.551385i | \(-0.185900\pi\) |
−0.894639 | + | 0.446790i | \(0.852567\pi\) | |||||||
\(618\) | 8.66025i | 0.348367i | ||||||||
\(619\) | 19.0000 | 0.763674 | 0.381837 | − | 0.924230i | \(-0.375291\pi\) | ||||
0.381837 | + | 0.924230i | \(0.375291\pi\) | |||||||
\(620\) | −6.00000 | − | 10.3923i | −0.240966 | − | 0.417365i | ||||
\(621\) | − | 15.5885i | − | 0.625543i | ||||||
\(622\) | 24.0000 | 0.962312 | ||||||||
\(623\) | 0 | 0 | ||||||||
\(624\) | 7.50000 | − | 4.33013i | 0.300240 | − | 0.173344i | ||||
\(625\) | −29.0000 | −1.16000 | ||||||||
\(626\) | 7.00000 | − | 12.1244i | 0.279776 | − | 0.484587i | ||||
\(627\) | −22.5000 | + | 12.9904i | −0.898563 | + | 0.518786i | ||||
\(628\) | 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 | ||||
\(633\) | − | 8.66025i | − | 0.344214i | ||||||
\(634\) | −15.0000 | + | 25.9808i | −0.595726 | + | 1.03183i | ||||
\(635\) | −48.0000 | −1.90482 | ||||||||
\(636\) | −4.50000 | − | 2.59808i | −0.178437 | − | 0.103020i | ||||
\(637\) | 0 | 0 | ||||||||
\(638\) | 9.00000 | 0.356313 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −1.50000 | − | 2.59808i | −0.0592927 | − | 0.102698i | ||||
\(641\) | −45.0000 | −1.77739 | −0.888697 | − | 0.458496i | \(-0.848388\pi\) | ||||
−0.888697 | + | 0.458496i | \(0.848388\pi\) | |||||||
\(642\) | −22.5000 | − | 12.9904i | −0.888004 | − | 0.512689i | ||||
\(643\) | 14.5000 | + | 25.1147i | 0.571824 | + | 0.990429i | 0.996379 | + | 0.0850262i | \(0.0270974\pi\) |
−0.424555 | + | 0.905402i | \(0.639569\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −49.5000 | + | 28.5788i | −1.94906 | + | 1.12529i | ||||
\(646\) | −7.50000 | − | 12.9904i | −0.295084 | − | 0.511100i | ||||
\(647\) | −1.50000 | − | 2.59808i | −0.0589711 | − | 0.102141i | 0.835033 | − | 0.550200i | \(-0.185449\pi\) |
−0.894004 | + | 0.448059i | \(0.852115\pi\) | |||||||
\(648\) | −4.50000 | + | 7.79423i | −0.176777 | + | 0.306186i | ||||
\(649\) | −18.0000 | + | 31.1769i | −0.706562 | + | 1.22380i | ||||
\(650\) | 10.0000 | − | 17.3205i | 0.392232 | − | 0.679366i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −8.50000 | − | 14.7224i | −0.332886 | − | 0.576575i | ||||
\(653\) | 9.00000 | 0.352197 | 0.176099 | − | 0.984373i | \(-0.443652\pi\) | ||||
0.176099 | + | 0.984373i | \(0.443652\pi\) | |||||||
\(654\) | 10.5000 | − | 6.06218i | 0.410582 | − | 0.237050i | ||||
\(655\) | −9.00000 | −0.351659 | ||||||||
\(656\) | −4.50000 | + | 7.79423i | −0.175695 | + | 0.304314i | ||||
\(657\) | −16.5000 | + | 28.5788i | −0.643726 | + | 1.11497i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −19.5000 | + | 33.7750i | −0.759612 | + | 1.31569i | 0.183436 | + | 0.983032i | \(0.441278\pi\) |
−0.943049 | + | 0.332655i | \(0.892055\pi\) | |||||||
\(660\) | 13.5000 | − | 7.79423i | 0.525487 | − | 0.303390i | ||||
\(661\) | 7.00000 | − | 12.1244i | 0.272268 | − | 0.471583i | −0.697174 | − | 0.716902i | \(-0.745559\pi\) |
0.969442 | + | 0.245319i | \(0.0788928\pi\) | |||||||
\(662\) | −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 | ||||
\(667\) | −4.50000 | + | 7.79423i | −0.174241 | + | 0.301794i | ||||
\(668\) | −3.00000 | −0.116073 | ||||||||
\(669\) | 25.5000 | − | 14.7224i | 0.985887 | − | 0.569202i | ||||
\(670\) | −12.0000 | −0.463600 | ||||||||
\(671\) | −3.00000 | − | 5.19615i | −0.115814 | − | 0.200595i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −5.50000 | + | 9.52628i | −0.212009 | + | 0.367211i | −0.952343 | − | 0.305028i | \(-0.901334\pi\) |
0.740334 | + | 0.672239i | \(0.234667\pi\) | |||||||
\(674\) | 12.5000 | − | 21.6506i | 0.481482 | − | 0.833951i | ||||
\(675\) | 20.7846i | 0.800000i | ||||||||
\(676\) | −6.00000 | − | 10.3923i | −0.230769 | − | 0.399704i | ||||
\(677\) | 3.00000 | + | 5.19615i | 0.115299 | + | 0.199704i | 0.917899 | − | 0.396813i | \(-0.129884\pi\) |
−0.802600 | + | 0.596518i | \(0.796551\pi\) | |||||||
\(678\) | −22.5000 | + | 12.9904i | −0.864107 | + | 0.498893i | ||||
\(679\) | 0 | 0 | ||||||||
\(680\) | 4.50000 | + | 7.79423i | 0.172567 | + | 0.298895i | ||||
\(681\) | −13.5000 | − | 7.79423i | −0.517321 | − | 0.298675i | ||||
\(682\) | −12.0000 | −0.459504 | ||||||||
\(683\) | 16.5000 | + | 28.5788i | 0.631355 | + | 1.09354i | 0.987275 | + | 0.159022i | \(0.0508342\pi\) |
−0.355920 | + | 0.934516i | \(0.615832\pi\) | |||||||
\(684\) | −7.50000 | + | 12.9904i | −0.286770 | + | 0.496700i | ||||
\(685\) | 9.00000 | 0.343872 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −25.5000 | − | 14.7224i | −0.972886 | − | 0.561696i | ||||
\(688\) | 11.0000 | 0.419371 | ||||||||
\(689\) | −7.50000 | + | 12.9904i | −0.285727 | + | 0.494894i | ||||
\(690\) | 15.5885i | 0.593442i | ||||||||
\(691\) | 10.0000 | + | 17.3205i | 0.380418 | + | 0.658903i | 0.991122 | − | 0.132956i | \(-0.0424468\pi\) |
−0.610704 | + | 0.791859i | \(0.709113\pi\) | |||||||
\(692\) | −6.00000 | −0.228086 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −12.0000 | −0.455514 | ||||||||
\(695\) | 7.50000 | + | 12.9904i | 0.284491 | + | 0.492753i | ||||
\(696\) | 4.50000 | − | 2.59808i | 0.170572 | − | 0.0984798i | ||||
\(697\) | 13.5000 | − | 23.3827i | 0.511349 | − | 0.885682i | ||||
\(698\) | −5.00000 | −0.189253 | ||||||||
\(699\) | −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 | \(0.463855\pi\) | |||||||
\(702\) | 22.5000 | + | 12.9904i | 0.849208 | + | 0.490290i | ||||
\(703\) | −17.5000 | − | 30.3109i | −0.660025 | − | 1.14320i | ||||
\(704\) | −3.00000 | −0.113067 | ||||||||
\(705\) | 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 | ||||
\(712\) | 7.50000 | − | 12.9904i | 0.281074 | − | 0.486835i | ||||
\(713\) | 6.00000 | − | 10.3923i | 0.224702 | − | 0.389195i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −22.5000 | − | 38.9711i | −0.841452 | − | 1.45744i | ||||
\(716\) | 3.00000 | 0.112115 | ||||||||
\(717\) | − | 46.7654i | − | 1.74648i | ||||||
\(718\) | 15.0000 | 0.559795 | ||||||||
\(719\) | 19.5000 | − | 33.7750i | 0.727227 | − | 1.25959i | −0.230823 | − | 0.972996i | \(-0.574142\pi\) |
0.958051 | − | 0.286599i | \(-0.0925247\pi\) | |||||||
\(720\) | 4.50000 | − | 7.79423i | 0.167705 | − | 0.290474i | ||||
\(721\) | 0 | 0 | ||||||||
\(722\) | −3.00000 | + | 5.19615i | −0.111648 | + | 0.193381i | ||||
\(723\) | −34.5000 | − | 19.9186i | −1.28307 | − | 0.740780i | ||||
\(724\) | −5.00000 | + | 8.66025i | −0.185824 | + | 0.321856i | ||||
\(725\) | 6.00000 | − | 10.3923i | 0.222834 | − | 0.385961i | ||||
\(726\) | 3.46410i | 0.128565i | ||||||||
\(727\) | 2.50000 | − | 4.33013i | 0.0927199 | − | 0.160596i | −0.815935 | − | 0.578144i | \(-0.803777\pi\) |
0.908655 | + | 0.417548i | \(0.137111\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −27.0000 | −1.00000 | ||||||||
\(730\) | 16.5000 | − | 28.5788i | 0.610692 | − | 1.05775i | ||||
\(731\) | −33.0000 | −1.22055 | ||||||||
\(732\) | −3.00000 | − | 1.73205i | −0.110883 | − | 0.0640184i | ||||
\(733\) | −41.0000 | −1.51437 | −0.757185 | − | 0.653201i | \(-0.773426\pi\) | ||||
−0.757185 | + | 0.653201i | \(0.773426\pi\) | |||||||
\(734\) | −0.500000 | − | 0.866025i | −0.0184553 | − | 0.0319656i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 1.50000 | − | 2.59808i | 0.0552907 | − | 0.0957664i | ||||
\(737\) | −6.00000 | + | 10.3923i | −0.221013 | + | 0.382805i | ||||
\(738\) | −27.0000 | −0.993884 | ||||||||
\(739\) | −23.5000 | − | 40.7032i | −0.864461 | − | 1.49729i | −0.867581 | − | 0.497296i | \(-0.834326\pi\) |
0.00311943 | − | 0.999995i | \(-0.499007\pi\) | |||||||
\(740\) | 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 | 0.837198 | − | 0.546899i | \(-0.184192\pi\) |
−0.892228 | + | 0.451585i | \(0.850859\pi\) | |||||||
\(744\) | −6.00000 | + | 3.46410i | −0.219971 | + | 0.127000i | ||||
\(745\) | −9.00000 | −0.329734 | ||||||||
\(746\) | −8.50000 | − | 14.7224i | −0.311207 | − | 0.539027i | ||||
\(747\) | 9.00000 | 0.329293 | ||||||||
\(748\) | 9.00000 | 0.329073 | ||||||||
\(749\) | 0 | 0 | ||||||||
\(750\) | 5.19615i | 0.189737i | ||||||||
\(751\) | 29.0000 | 1.05823 | 0.529113 | − | 0.848552i | \(-0.322525\pi\) | ||||
0.529113 | + | 0.848552i | \(0.322525\pi\) | |||||||
\(752\) | 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 | ||||
\(761\) | −3.00000 | −0.108750 | −0.0543750 | − | 0.998521i | \(-0.517317\pi\) | ||||
−0.0543750 | + | 0.998521i | \(0.517317\pi\) | |||||||
\(762\) | 27.7128i | 1.00393i | ||||||||
\(763\) | 0 | 0 | ||||||||
\(764\) | 12.0000 | 0.434145 | ||||||||
\(765\) | −13.5000 | + | 23.3827i | −0.488094 | + | 0.845403i | ||||
\(766\) | −7.50000 | − | 12.9904i | −0.270986 | − | 0.469362i | ||||
\(767\) | 60.0000 | 2.16647 | ||||||||
\(768\) | −1.50000 | + | 0.866025i | −0.0541266 | + | 0.0312500i | ||||
\(769\) | −0.500000 | − | 0.866025i | −0.0180305 | − | 0.0312297i | 0.856869 | − | 0.515534i | \(-0.172406\pi\) |
−0.874900 | + | 0.484304i | \(0.839073\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −22.5000 | − | 12.9904i | −0.810318 | − | 0.467837i | ||||
\(772\) | −7.00000 | − | 12.1244i | −0.251936 | − | 0.436365i | ||||
\(773\) | 10.5000 | + | 18.1865i | 0.377659 | + | 0.654124i | 0.990721 | − | 0.135910i | \(-0.0433959\pi\) |
−0.613062 | + | 0.790034i | \(0.710063\pi\) | |||||||
\(774\) | 16.5000 | + | 28.5788i | 0.593080 | + | 1.02725i | ||||
\(775\) | −8.00000 | + | 13.8564i | −0.287368 | + | 0.497737i | ||||
\(776\) | −0.500000 | + | 0.866025i | −0.0179490 | + | 0.0310885i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −4.50000 | − | 7.79423i | −0.161333 | − | 0.279437i | ||||
\(779\) | −45.0000 | −1.61229 | ||||||||
\(780\) | −22.5000 | − | 12.9904i | −0.805629 | − | 0.465130i | ||||
\(781\) | 0 | 0 | ||||||||
\(782\) | −4.50000 | + | 7.79423i | −0.160920 | + | 0.278721i | ||||
\(783\) | 13.5000 | + | 7.79423i | 0.482451 | + | 0.278543i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 21.0000 | − | 36.3731i | 0.749522 | − | 1.29821i | ||||
\(786\) | 5.19615i | 0.185341i | ||||||||
\(787\) | 22.0000 | − | 38.1051i | 0.784215 | − | 1.35830i | −0.145251 | − | 0.989395i | \(-0.546399\pi\) |
0.929467 | − | 0.368906i | \(-0.120268\pi\) | |||||||
\(788\) | 3.00000 | − | 5.19615i | 0.106871 | − | 0.185105i | ||||
\(789\) | −13.5000 | − | 7.79423i | −0.480613 | − | 0.277482i | ||||
\(790\) | −12.0000 | + | 20.7846i | −0.426941 | + | 0.739483i | ||||
\(791\) | 0 | 0 | ||||||||
\(792\) | −4.50000 | − | 7.79423i | −0.159901 | − | 0.276956i | ||||
\(793\) | −5.00000 | + | 8.66025i | −0.177555 | + | 0.307535i | ||||
\(794\) | −29.0000 | −1.02917 | ||||||||
\(795\) | 15.5885i | 0.552866i | ||||||||
\(796\) | 7.00000 | 0.248108 | ||||||||
\(797\) | −13.5000 | − | 23.3827i | −0.478195 | − | 0.828257i | 0.521493 | − | 0.853256i | \(-0.325375\pi\) |
−0.999687 | + | 0.0249984i | \(0.992042\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 0 | 0 | ||||||||
\(800\) | −2.00000 | + | 3.46410i | −0.0707107 | + | 0.122474i | ||||
\(801\) | 45.0000 | 1.59000 | ||||||||
\(802\) | −13.5000 | − | 23.3827i | −0.476702 | − | 0.825671i | ||||
\(803\) | −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 | ||||
\(807\) | 36.3731i | 1.28039i | ||||||||
\(808\) | 3.00000 | 0.105540 | ||||||||
\(809\) | −19.5000 | − | 33.7750i | −0.685583 | − | 1.18747i | −0.973253 | − | 0.229736i | \(-0.926214\pi\) |
0.287670 | − | 0.957730i | \(-0.407120\pi\) | |||||||
\(810\) | 27.0000 | 0.948683 | ||||||||
\(811\) | −20.0000 | −0.702295 | −0.351147 | − | 0.936320i | \(-0.614208\pi\) | ||||
−0.351147 | + | 0.936320i | \(0.614208\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −19.5000 | + | 11.2583i | −0.683895 | + | 0.394847i | ||||
\(814\) | 21.0000 | 0.736050 | ||||||||
\(815\) | −25.5000 | + | 44.1673i | −0.893226 | + | 1.54711i | ||||
\(816\) | 4.50000 | − | 2.59808i | 0.157532 | − | 0.0909509i | ||||
\(817\) | 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 | \(0.441986\pi\) | |||||||
\(822\) | − | 5.19615i | − | 0.181237i | ||||||
\(823\) | 20.0000 | − | 34.6410i | 0.697156 | − | 1.20751i | −0.272292 | − | 0.962215i | \(-0.587782\pi\) |
0.969448 | − | 0.245295i | \(-0.0788849\pi\) | |||||||
\(824\) | −5.00000 | −0.174183 | ||||||||
\(825\) | −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 | \(0.637017\pi\) | |||||||
\(828\) | 9.00000 | 0.312772 | ||||||||
\(829\) | 20.5000 | + | 35.5070i | 0.711994 | + | 1.23321i | 0.964107 | + | 0.265513i | \(0.0855412\pi\) |
−0.252113 | + | 0.967698i | \(0.581125\pi\) | |||||||
\(830\) | −9.00000 | −0.312395 | ||||||||
\(831\) | −10.5000 | − | 6.06218i | −0.364241 | − | 0.210295i | ||||
\(832\) | 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 | ||||
\(836\) | −7.50000 | − | 12.9904i | −0.259393 | − | 0.449282i | ||||
\(837\) | −18.0000 | − | 10.3923i | −0.622171 | − | 0.359211i | ||||
\(838\) | −1.50000 | + | 2.59808i | −0.0518166 | + | 0.0897491i | ||||
\(839\) | −19.5000 | + | 33.7750i | −0.673215 | + | 1.16604i | 0.303773 | + | 0.952745i | \(0.401754\pi\) |
−0.976987 | + | 0.213298i | \(0.931580\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 10.0000 | + | 17.3205i | 0.344828 | + | 0.597259i | ||||
\(842\) | −31.0000 | −1.06833 | ||||||||
\(843\) | −4.50000 | + | 2.59808i | −0.154988 | + | 0.0894825i | ||||
\(844\) | 5.00000 | 0.172107 | ||||||||
\(845\) | −18.0000 | + | 31.1769i | −0.619219 | + | 1.07252i | ||||
\(846\) | 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 | \(-0.739334\pi\) |
0.974055 | + | 0.226313i | \(0.0726672\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 45.0000 | 1.53897 | ||||||||
\(856\) | 7.50000 | − | 12.9904i | 0.256345 | − | 0.444002i | ||||
\(857\) | 33.0000 | 1.12726 | 0.563629 | − | 0.826028i | \(-0.309405\pi\) | ||||
0.563629 | + | 0.826028i | \(0.309405\pi\) | |||||||
\(858\) | −22.5000 | + | 12.9904i | −0.768137 | + | 0.443484i | ||||
\(859\) | −11.0000 | −0.375315 | −0.187658 | − | 0.982235i | \(-0.560090\pi\) | ||||
−0.187658 | + | 0.982235i | \(0.560090\pi\) | |||||||
\(860\) | −16.5000 | − | 28.5788i | −0.562645 | − | 0.974530i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 1.50000 | − | 2.59808i | 0.0510902 | − | 0.0884908i | ||||
\(863\) | −7.50000 | + | 12.9904i | −0.255303 | + | 0.442198i | −0.964978 | − | 0.262332i | \(-0.915509\pi\) |
0.709675 | + | 0.704529i | \(0.248842\pi\) | |||||||
\(864\) | −4.50000 | − | 2.59808i | −0.153093 | − | 0.0883883i | ||||
\(865\) | 9.00000 | + | 15.5885i | 0.306009 | + | 0.530023i | ||||
\(866\) | 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 | ||||
\(870\) | −13.5000 | − | 7.79423i | −0.457693 | − | 0.264249i | ||||
\(871\) | 20.0000 | 0.677674 | ||||||||
\(872\) | 3.50000 | + | 6.06218i | 0.118525 | + | 0.205291i | ||||
\(873\) | −3.00000 | −0.101535 | ||||||||
\(874\) | 15.0000 | 0.507383 | ||||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | −16.5000 | − | 9.52628i | −0.557483 | − | 0.321863i | ||||
\(877\) | −43.0000 | −1.45201 | −0.726003 | − | 0.687691i | \(-0.758624\pi\) | ||||
−0.726003 | + | 0.687691i | \(0.758624\pi\) | |||||||
\(878\) | 4.00000 | − | 6.92820i | 0.134993 | − | 0.233816i | ||||
\(879\) | − | 46.7654i | − | 1.57736i | ||||||
\(880\) | 4.50000 | + | 7.79423i | 0.151695 | + | 0.262743i | ||||
\(881\) | −6.00000 | −0.202145 | −0.101073 | − | 0.994879i | \(-0.532227\pi\) | ||||
−0.101073 | + | 0.994879i | \(0.532227\pi\) | |||||||
\(882\) | 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 | ||||
\(885\) | 54.0000 | − | 31.1769i | 1.81519 | − | 1.04800i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 39.0000 | 1.30949 | 0.654746 | − | 0.755849i | \(-0.272776\pi\) | ||||
0.654746 | + | 0.755849i | \(0.272776\pi\) | |||||||
\(888\) | 10.5000 | − | 6.06218i | 0.352357 | − | 0.203433i | ||||
\(889\) | 0 | 0 | ||||||||
\(890\) | −45.0000 | −1.50840 | ||||||||
\(891\) | 13.5000 | − | 23.3827i | 0.452267 | − | 0.783349i | ||||
\(892\) | 8.50000 | + | 14.7224i | 0.284601 | + | 0.492943i | ||||
\(893\) | 0 | 0 | ||||||||
\(894\) | 5.19615i | 0.173785i | ||||||||
\(895\) | −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 | ||||
\(899\) | 6.00000 | + | 10.3923i | 0.200111 | + | 0.346603i | ||||
\(900\) | −12.0000 | −0.400000 | ||||||||
\(901\) | −4.50000 | + | 7.79423i | −0.149917 | + | 0.259663i | ||||
\(902\) | 13.5000 | − | 23.3827i | 0.449501 | − | 0.778558i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −7.50000 | − | 12.9904i | −0.249446 | − | 0.432054i | ||||
\(905\) | 30.0000 | 0.997234 | ||||||||
\(906\) | − | 19.0526i | − | 0.632979i | ||||||
\(907\) | 17.0000 | 0.564476 | 0.282238 | − | 0.959344i | \(-0.408923\pi\) | ||||
0.282238 | + | 0.959344i | \(0.408923\pi\) | |||||||
\(908\) | 4.50000 | − | 7.79423i | 0.149338 | − | 0.258661i | ||||
\(909\) | 4.50000 | + | 7.79423i | 0.149256 | + | 0.258518i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −4.50000 | + | 7.79423i | −0.149092 | + | 0.258234i | −0.930892 | − | 0.365295i | \(-0.880968\pi\) |
0.781800 | + | 0.623529i | \(0.214302\pi\) | |||||||
\(912\) | −7.50000 | − | 4.33013i | −0.248350 | − | 0.143385i | ||||
\(913\) | −4.50000 | + | 7.79423i | −0.148928 | + | 0.257951i | ||||
\(914\) | 17.0000 | − | 29.4449i | 0.562310 | − | 0.973950i | ||||
\(915\) | 10.3923i | 0.343559i | ||||||||
\(916\) | 8.50000 | − | 14.7224i | 0.280848 | − | 0.486443i | ||||
\(917\) | 0 | 0 | ||||||||
\(918\) | 13.5000 | + | 7.79423i | 0.445566 | + | 0.257248i | ||||
\(919\) | 0.500000 | − | 0.866025i | 0.0164935 | − | 0.0285675i | −0.857661 | − | 0.514216i | \(-0.828083\pi\) |
0.874154 | + | 0.485648i | \(0.161416\pi\) | |||||||
\(920\) | −9.00000 | −0.296721 | ||||||||
\(921\) | 42.0000 | + | 24.2487i | 1.38395 | + | 0.799022i | ||||
\(922\) | −9.00000 | −0.296399 | ||||||||
\(923\) | 0 | 0 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 14.0000 | − | 24.2487i | 0.460317 | − | 0.797293i | ||||
\(926\) | −17.5000 | + | 30.3109i | −0.575086 | + | 0.996078i | ||||
\(927\) | −7.50000 | − | 12.9904i | −0.246332 | − | 0.426660i | ||||
\(928\) | 1.50000 | + | 2.59808i | 0.0492399 | + | 0.0852860i | ||||
\(929\) | −9.00000 | − | 15.5885i | −0.295280 | − | 0.511441i | 0.679770 | − | 0.733426i | \(-0.262080\pi\) |
−0.975050 | + | 0.221985i | \(0.928746\pi\) | |||||||
\(930\) | 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 | ||||
\(934\) | 3.00000 | 0.0981630 | ||||||||
\(935\) | −13.5000 | − | 23.3827i | −0.441497 | − | 0.764696i | ||||
\(936\) | −7.50000 | + | 12.9904i | −0.245145 | + | 0.424604i | ||||
\(937\) | 34.0000 | 1.11073 | 0.555366 | − | 0.831606i | \(-0.312578\pi\) | ||||
0.555366 | + | 0.831606i | \(0.312578\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 24.2487i | 0.791327i | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 27.0000 | − | 46.7654i | 0.880175 | − | 1.52451i | 0.0290288 | − | 0.999579i | \(-0.490759\pi\) |
0.851146 | − | 0.524929i | \(-0.175908\pi\) | |||||||
\(942\) | −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 | ||||
\(950\) | −20.0000 | −0.648886 | ||||||||
\(951\) | − | 51.9615i | − | 1.68497i | ||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −6.00000 | −0.194359 | −0.0971795 | − | 0.995267i | \(-0.530982\pi\) | ||||
−0.0971795 | + | 0.995267i | \(0.530982\pi\) | |||||||
\(954\) | 9.00000 | 0.291386 | ||||||||
\(955\) | −18.0000 | − | 31.1769i | −0.582466 | − | 1.00886i | ||||
\(956\) | 27.0000 | 0.873242 | ||||||||
\(957\) | −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 | ||||
\(962\) | −17.5000 | − | 30.3109i | −0.564223 | − | 0.977262i | ||||
\(963\) | 45.0000 | 1.45010 | ||||||||
\(964\) | 11.5000 | − | 19.9186i | 0.370390 | − | 0.641534i | ||||
\(965\) | −21.0000 | + | 36.3731i | −0.676014 | + | 1.17089i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 24.5000 | + | 42.4352i | 0.787867 | + | 1.36463i | 0.927271 | + | 0.374390i | \(0.122148\pi\) |
−0.139404 | + | 0.990236i | \(0.544519\pi\) | |||||||
\(968\) | −2.00000 | −0.0642824 | ||||||||
\(969\) | 22.5000 | + | 12.9904i | 0.722804 | + | 0.417311i | ||||
\(970\) | 3.00000 | 0.0963242 | ||||||||
\(971\) | −13.5000 | + | 23.3827i | −0.433236 | + | 0.750386i | −0.997150 | − | 0.0754473i | \(-0.975962\pi\) |
0.563914 | + | 0.825833i | \(0.309295\pi\) | |||||||
\(972\) | − | 15.5885i | − | 0.500000i | ||||||
\(973\) | 0 | 0 | ||||||||
\(974\) | 15.5000 | − | 26.8468i | 0.496652 | − | 0.860227i | ||||
\(975\) | 34.6410i | 1.10940i | ||||||||
\(976\) | 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 | \(0.197265\pi\) | |||||||
\(978\) | 25.5000 | + | 14.7224i | 0.815400 | + | 0.470771i | ||||
\(979\) | −22.5000 | + | 38.9711i | −0.719103 | + | 1.24552i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −10.5000 | + | 18.1865i | −0.335239 | + | 0.580651i | ||||
\(982\) | 19.5000 | − | 33.7750i | 0.622270 | − | 1.07780i | ||||
\(983\) | 21.0000 | 0.669796 | 0.334898 | − | 0.942254i | \(-0.391298\pi\) | ||||
0.334898 | + | 0.942254i | \(0.391298\pi\) | |||||||
\(984\) | − | 15.5885i | − | 0.496942i | ||||||
\(985\) | −18.0000 | −0.573528 | ||||||||
\(986\) | −4.50000 | − | 7.79423i | −0.143309 | − | 0.248219i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −12.5000 | + | 21.6506i | −0.397678 | + | 0.688798i | ||||
\(989\) | 16.5000 | − | 28.5788i | 0.524669 | − | 0.908754i | ||||
\(990\) | −13.5000 | + | 23.3827i | −0.429058 | + | 0.743151i | ||||
\(991\) | −14.5000 | − | 25.1147i | −0.460608 | − | 0.797796i | 0.538384 | − | 0.842700i | \(-0.319035\pi\) |
−0.998991 | + | 0.0449040i | \(0.985702\pi\) | |||||||
\(992\) | −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 | ||||
\(996\) | 5.19615i | 0.164646i | ||||||||
\(997\) | −41.0000 | −1.29848 | −0.649242 | − | 0.760582i | \(-0.724914\pi\) | ||||
−0.649242 | + | 0.760582i | \(0.724914\pi\) | |||||||
\(998\) | −5.50000 | − | 9.52628i | −0.174099 | − | 0.301549i | ||||
\(999\) | 31.5000 | + | 18.1865i | 0.996616 | + | 0.575396i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))