Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [338,2,Mod(191,338)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(338, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("338.191");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 338 = 2 \cdot 13^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 338.c (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: | \(2.69894358832\) |
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 26) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 315.1 | ||
Root | \(0.500000 - 0.866025i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 338.315 |
Dual form | 338.2.c.a.191.1 |
$q$-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 \(\left(\mathbb{Z}/338\mathbb{Z}\right)^\times\).
\(n\) | \(171\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) |
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 | ||||
\(3\) | −0.500000 | − | 0.866025i | −0.288675 | − | 0.500000i | 0.684819 | − | 0.728714i | \(-0.259881\pi\) |
−0.973494 | + | 0.228714i | \(0.926548\pi\) | |||||||
\(4\) | −0.500000 | + | 0.866025i | −0.250000 | + | 0.433013i | ||||
\(5\) | 3.00000 | 1.34164 | 0.670820 | − | 0.741620i | \(-0.265942\pi\) | ||||
0.670820 | + | 0.741620i | \(0.265942\pi\) | |||||||
\(6\) | −0.500000 | + | 0.866025i | −0.204124 | + | 0.353553i | ||||
\(7\) | −0.500000 | + | 0.866025i | −0.188982 | + | 0.327327i | −0.944911 | − | 0.327327i | \(-0.893852\pi\) |
0.755929 | + | 0.654654i | \(0.227186\pi\) | |||||||
\(8\) | 1.00000 | 0.353553 | ||||||||
\(9\) | 1.00000 | − | 1.73205i | 0.333333 | − | 0.577350i | ||||
\(10\) | −1.50000 | − | 2.59808i | −0.474342 | − | 0.821584i | ||||
\(11\) | 3.00000 | + | 5.19615i | 0.904534 | + | 1.56670i | 0.821541 | + | 0.570149i | \(0.193114\pi\) |
0.0829925 | + | 0.996550i | \(0.473552\pi\) | |||||||
\(12\) | 1.00000 | 0.288675 | ||||||||
\(13\) | 0 | 0 | ||||||||
\(14\) | 1.00000 | 0.267261 | ||||||||
\(15\) | −1.50000 | − | 2.59808i | −0.387298 | − | 0.670820i | ||||
\(16\) | −0.500000 | − | 0.866025i | −0.125000 | − | 0.216506i | ||||
\(17\) | 1.50000 | − | 2.59808i | 0.363803 | − | 0.630126i | −0.624780 | − | 0.780801i | \(-0.714811\pi\) |
0.988583 | + | 0.150675i | \(0.0481447\pi\) | |||||||
\(18\) | −2.00000 | −0.471405 | ||||||||
\(19\) | 1.00000 | − | 1.73205i | 0.229416 | − | 0.397360i | −0.728219 | − | 0.685344i | \(-0.759652\pi\) |
0.957635 | + | 0.287984i | \(0.0929851\pi\) | |||||||
\(20\) | −1.50000 | + | 2.59808i | −0.335410 | + | 0.580948i | ||||
\(21\) | 1.00000 | 0.218218 | ||||||||
\(22\) | 3.00000 | − | 5.19615i | 0.639602 | − | 1.10782i | ||||
\(23\) | 0 | 0 | 0.866025 | − | 0.500000i | \(-0.166667\pi\) | ||||
−0.866025 | + | 0.500000i | \(0.833333\pi\) | |||||||
\(24\) | −0.500000 | − | 0.866025i | −0.102062 | − | 0.176777i | ||||
\(25\) | 4.00000 | 0.800000 | ||||||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −5.00000 | −0.962250 | ||||||||
\(28\) | −0.500000 | − | 0.866025i | −0.0944911 | − | 0.163663i | ||||
\(29\) | −3.00000 | − | 5.19615i | −0.557086 | − | 0.964901i | −0.997738 | − | 0.0672232i | \(-0.978586\pi\) |
0.440652 | − | 0.897678i | \(-0.354747\pi\) | |||||||
\(30\) | −1.50000 | + | 2.59808i | −0.273861 | + | 0.474342i | ||||
\(31\) | 4.00000 | 0.718421 | 0.359211 | − | 0.933257i | \(-0.383046\pi\) | ||||
0.359211 | + | 0.933257i | \(0.383046\pi\) | |||||||
\(32\) | −0.500000 | + | 0.866025i | −0.0883883 | + | 0.153093i | ||||
\(33\) | 3.00000 | − | 5.19615i | 0.522233 | − | 0.904534i | ||||
\(34\) | −3.00000 | −0.514496 | ||||||||
\(35\) | −1.50000 | + | 2.59808i | −0.253546 | + | 0.439155i | ||||
\(36\) | 1.00000 | + | 1.73205i | 0.166667 | + | 0.288675i | ||||
\(37\) | −3.50000 | − | 6.06218i | −0.575396 | − | 0.996616i | −0.995998 | − | 0.0893706i | \(-0.971514\pi\) |
0.420602 | − | 0.907245i | \(-0.361819\pi\) | |||||||
\(38\) | −2.00000 | −0.324443 | ||||||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 3.00000 | 0.474342 | ||||||||
\(41\) | 0 | 0 | 0.866025 | − | 0.500000i | \(-0.166667\pi\) | ||||
−0.866025 | + | 0.500000i | \(0.833333\pi\) | |||||||
\(42\) | −0.500000 | − | 0.866025i | −0.0771517 | − | 0.133631i | ||||
\(43\) | 0.500000 | − | 0.866025i | 0.0762493 | − | 0.132068i | −0.825380 | − | 0.564578i | \(-0.809039\pi\) |
0.901629 | + | 0.432511i | \(0.142372\pi\) | |||||||
\(44\) | −6.00000 | −0.904534 | ||||||||
\(45\) | 3.00000 | − | 5.19615i | 0.447214 | − | 0.774597i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −3.00000 | −0.437595 | −0.218797 | − | 0.975770i | \(-0.570213\pi\) | ||||
−0.218797 | + | 0.975770i | \(0.570213\pi\) | |||||||
\(48\) | −0.500000 | + | 0.866025i | −0.0721688 | + | 0.125000i | ||||
\(49\) | 3.00000 | + | 5.19615i | 0.428571 | + | 0.742307i | ||||
\(50\) | −2.00000 | − | 3.46410i | −0.282843 | − | 0.489898i | ||||
\(51\) | −3.00000 | −0.420084 | ||||||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(54\) | 2.50000 | + | 4.33013i | 0.340207 | + | 0.589256i | ||||
\(55\) | 9.00000 | + | 15.5885i | 1.21356 | + | 2.10195i | ||||
\(56\) | −0.500000 | + | 0.866025i | −0.0668153 | + | 0.115728i | ||||
\(57\) | −2.00000 | −0.264906 | ||||||||
\(58\) | −3.00000 | + | 5.19615i | −0.393919 | + | 0.682288i | ||||
\(59\) | −3.00000 | + | 5.19615i | −0.390567 | + | 0.676481i | −0.992524 | − | 0.122047i | \(-0.961054\pi\) |
0.601958 | + | 0.798528i | \(0.294388\pi\) | |||||||
\(60\) | 3.00000 | 0.387298 | ||||||||
\(61\) | −4.00000 | + | 6.92820i | −0.512148 | + | 0.887066i | 0.487753 | + | 0.872982i | \(0.337817\pi\) |
−0.999901 | + | 0.0140840i | \(0.995517\pi\) | |||||||
\(62\) | −2.00000 | − | 3.46410i | −0.254000 | − | 0.439941i | ||||
\(63\) | 1.00000 | + | 1.73205i | 0.125988 | + | 0.218218i | ||||
\(64\) | 1.00000 | 0.125000 | ||||||||
\(65\) | 0 | 0 | ||||||||
\(66\) | −6.00000 | −0.738549 | ||||||||
\(67\) | 7.00000 | + | 12.1244i | 0.855186 | + | 1.48123i | 0.876472 | + | 0.481452i | \(0.159891\pi\) |
−0.0212861 | + | 0.999773i | \(0.506776\pi\) | |||||||
\(68\) | 1.50000 | + | 2.59808i | 0.181902 | + | 0.315063i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 3.00000 | 0.358569 | ||||||||
\(71\) | −1.50000 | + | 2.59808i | −0.178017 | + | 0.308335i | −0.941201 | − | 0.337846i | \(-0.890302\pi\) |
0.763184 | + | 0.646181i | \(0.223635\pi\) | |||||||
\(72\) | 1.00000 | − | 1.73205i | 0.117851 | − | 0.204124i | ||||
\(73\) | −2.00000 | −0.234082 | −0.117041 | − | 0.993127i | \(-0.537341\pi\) | ||||
−0.117041 | + | 0.993127i | \(0.537341\pi\) | |||||||
\(74\) | −3.50000 | + | 6.06218i | −0.406867 | + | 0.704714i | ||||
\(75\) | −2.00000 | − | 3.46410i | −0.230940 | − | 0.400000i | ||||
\(76\) | 1.00000 | + | 1.73205i | 0.114708 | + | 0.198680i | ||||
\(77\) | −6.00000 | −0.683763 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 8.00000 | 0.900070 | 0.450035 | − | 0.893011i | \(-0.351411\pi\) | ||||
0.450035 | + | 0.893011i | \(0.351411\pi\) | |||||||
\(80\) | −1.50000 | − | 2.59808i | −0.167705 | − | 0.290474i | ||||
\(81\) | −0.500000 | − | 0.866025i | −0.0555556 | − | 0.0962250i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | −12.0000 | −1.31717 | −0.658586 | − | 0.752506i | \(-0.728845\pi\) | ||||
−0.658586 | + | 0.752506i | \(0.728845\pi\) | |||||||
\(84\) | −0.500000 | + | 0.866025i | −0.0545545 | + | 0.0944911i | ||||
\(85\) | 4.50000 | − | 7.79423i | 0.488094 | − | 0.845403i | ||||
\(86\) | −1.00000 | −0.107833 | ||||||||
\(87\) | −3.00000 | + | 5.19615i | −0.321634 | + | 0.557086i | ||||
\(88\) | 3.00000 | + | 5.19615i | 0.319801 | + | 0.553912i | ||||
\(89\) | −3.00000 | − | 5.19615i | −0.317999 | − | 0.550791i | 0.662071 | − | 0.749441i | \(-0.269678\pi\) |
−0.980071 | + | 0.198650i | \(0.936344\pi\) | |||||||
\(90\) | −6.00000 | −0.632456 | ||||||||
\(91\) | 0 | 0 | ||||||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −2.00000 | − | 3.46410i | −0.207390 | − | 0.359211i | ||||
\(94\) | 1.50000 | + | 2.59808i | 0.154713 | + | 0.267971i | ||||
\(95\) | 3.00000 | − | 5.19615i | 0.307794 | − | 0.533114i | ||||
\(96\) | 1.00000 | 0.102062 | ||||||||
\(97\) | −5.00000 | + | 8.66025i | −0.507673 | + | 0.879316i | 0.492287 | + | 0.870433i | \(0.336161\pi\) |
−0.999961 | + | 0.00888289i | \(0.997172\pi\) | |||||||
\(98\) | 3.00000 | − | 5.19615i | 0.303046 | − | 0.524891i | ||||
\(99\) | 12.0000 | 1.20605 | ||||||||
\(100\) | −2.00000 | + | 3.46410i | −0.200000 | + | 0.346410i | ||||
\(101\) | 6.00000 | + | 10.3923i | 0.597022 | + | 1.03407i | 0.993258 | + | 0.115924i | \(0.0369830\pi\) |
−0.396236 | + | 0.918149i | \(0.629684\pi\) | |||||||
\(102\) | 1.50000 | + | 2.59808i | 0.148522 | + | 0.257248i | ||||
\(103\) | −4.00000 | −0.394132 | −0.197066 | − | 0.980390i | \(-0.563141\pi\) | ||||
−0.197066 | + | 0.980390i | \(0.563141\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 3.00000 | 0.292770 | ||||||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −6.00000 | − | 10.3923i | −0.580042 | − | 1.00466i | −0.995474 | − | 0.0950377i | \(-0.969703\pi\) |
0.415432 | − | 0.909624i | \(-0.363630\pi\) | |||||||
\(108\) | 2.50000 | − | 4.33013i | 0.240563 | − | 0.416667i | ||||
\(109\) | 7.00000 | 0.670478 | 0.335239 | − | 0.942133i | \(-0.391183\pi\) | ||||
0.335239 | + | 0.942133i | \(0.391183\pi\) | |||||||
\(110\) | 9.00000 | − | 15.5885i | 0.858116 | − | 1.48630i | ||||
\(111\) | −3.50000 | + | 6.06218i | −0.332205 | + | 0.575396i | ||||
\(112\) | 1.00000 | 0.0944911 | ||||||||
\(113\) | 3.00000 | − | 5.19615i | 0.282216 | − | 0.488813i | −0.689714 | − | 0.724082i | \(-0.742264\pi\) |
0.971930 | + | 0.235269i | \(0.0755971\pi\) | |||||||
\(114\) | 1.00000 | + | 1.73205i | 0.0936586 | + | 0.162221i | ||||
\(115\) | 0 | 0 | ||||||||
\(116\) | 6.00000 | 0.557086 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 6.00000 | 0.552345 | ||||||||
\(119\) | 1.50000 | + | 2.59808i | 0.137505 | + | 0.238165i | ||||
\(120\) | −1.50000 | − | 2.59808i | −0.136931 | − | 0.237171i | ||||
\(121\) | −12.5000 | + | 21.6506i | −1.13636 | + | 1.96824i | ||||
\(122\) | 8.00000 | 0.724286 | ||||||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −2.00000 | + | 3.46410i | −0.179605 | + | 0.311086i | ||||
\(125\) | −3.00000 | −0.268328 | ||||||||
\(126\) | 1.00000 | − | 1.73205i | 0.0890871 | − | 0.154303i | ||||
\(127\) | −10.0000 | − | 17.3205i | −0.887357 | − | 1.53695i | −0.842989 | − | 0.537931i | \(-0.819206\pi\) |
−0.0443678 | − | 0.999015i | \(-0.514127\pi\) | |||||||
\(128\) | −0.500000 | − | 0.866025i | −0.0441942 | − | 0.0765466i | ||||
\(129\) | −1.00000 | −0.0880451 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −21.0000 | −1.83478 | −0.917389 | − | 0.397991i | \(-0.869707\pi\) | ||||
−0.917389 | + | 0.397991i | \(0.869707\pi\) | |||||||
\(132\) | 3.00000 | + | 5.19615i | 0.261116 | + | 0.452267i | ||||
\(133\) | 1.00000 | + | 1.73205i | 0.0867110 | + | 0.150188i | ||||
\(134\) | 7.00000 | − | 12.1244i | 0.604708 | − | 1.04738i | ||||
\(135\) | −15.0000 | −1.29099 | ||||||||
\(136\) | 1.50000 | − | 2.59808i | 0.128624 | − | 0.222783i | ||||
\(137\) | 0 | 0 | −0.866025 | − | 0.500000i | \(-0.833333\pi\) | ||||
0.866025 | + | 0.500000i | \(0.166667\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 6.50000 | − | 11.2583i | 0.551323 | − | 0.954919i | −0.446857 | − | 0.894606i | \(-0.647457\pi\) |
0.998179 | − | 0.0603135i | \(-0.0192101\pi\) | |||||||
\(140\) | −1.50000 | − | 2.59808i | −0.126773 | − | 0.219578i | ||||
\(141\) | 1.50000 | + | 2.59808i | 0.126323 | + | 0.218797i | ||||
\(142\) | 3.00000 | 0.251754 | ||||||||
\(143\) | 0 | 0 | ||||||||
\(144\) | −2.00000 | −0.166667 | ||||||||
\(145\) | −9.00000 | − | 15.5885i | −0.747409 | − | 1.29455i | ||||
\(146\) | 1.00000 | + | 1.73205i | 0.0827606 | + | 0.143346i | ||||
\(147\) | 3.00000 | − | 5.19615i | 0.247436 | − | 0.428571i | ||||
\(148\) | 7.00000 | 0.575396 | ||||||||
\(149\) | −3.00000 | + | 5.19615i | −0.245770 | + | 0.425685i | −0.962348 | − | 0.271821i | \(-0.912374\pi\) |
0.716578 | + | 0.697507i | \(0.245707\pi\) | |||||||
\(150\) | −2.00000 | + | 3.46410i | −0.163299 | + | 0.282843i | ||||
\(151\) | −17.0000 | −1.38344 | −0.691720 | − | 0.722166i | \(-0.743147\pi\) | ||||
−0.691720 | + | 0.722166i | \(0.743147\pi\) | |||||||
\(152\) | 1.00000 | − | 1.73205i | 0.0811107 | − | 0.140488i | ||||
\(153\) | −3.00000 | − | 5.19615i | −0.242536 | − | 0.420084i | ||||
\(154\) | 3.00000 | + | 5.19615i | 0.241747 | + | 0.418718i | ||||
\(155\) | 12.0000 | 0.963863 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 14.0000 | 1.11732 | 0.558661 | − | 0.829396i | \(-0.311315\pi\) | ||||
0.558661 | + | 0.829396i | \(0.311315\pi\) | |||||||
\(158\) | −4.00000 | − | 6.92820i | −0.318223 | − | 0.551178i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −1.50000 | + | 2.59808i | −0.118585 | + | 0.205396i | ||||
\(161\) | 0 | 0 | ||||||||
\(162\) | −0.500000 | + | 0.866025i | −0.0392837 | + | 0.0680414i | ||||
\(163\) | −8.00000 | + | 13.8564i | −0.626608 | + | 1.08532i | 0.361619 | + | 0.932326i | \(0.382224\pi\) |
−0.988227 | + | 0.152992i | \(0.951109\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 9.00000 | − | 15.5885i | 0.700649 | − | 1.21356i | ||||
\(166\) | 6.00000 | + | 10.3923i | 0.465690 | + | 0.806599i | ||||
\(167\) | 0 | 0 | 0.866025 | − | 0.500000i | \(-0.166667\pi\) | ||||
−0.866025 | + | 0.500000i | \(0.833333\pi\) | |||||||
\(168\) | 1.00000 | 0.0771517 | ||||||||
\(169\) | 0 | 0 | ||||||||
\(170\) | −9.00000 | −0.690268 | ||||||||
\(171\) | −2.00000 | − | 3.46410i | −0.152944 | − | 0.264906i | ||||
\(172\) | 0.500000 | + | 0.866025i | 0.0381246 | + | 0.0660338i | ||||
\(173\) | 0 | 0 | −0.866025 | − | 0.500000i | \(-0.833333\pi\) | ||||
0.866025 | + | 0.500000i | \(0.166667\pi\) | |||||||
\(174\) | 6.00000 | 0.454859 | ||||||||
\(175\) | −2.00000 | + | 3.46410i | −0.151186 | + | 0.261861i | ||||
\(176\) | 3.00000 | − | 5.19615i | 0.226134 | − | 0.391675i | ||||
\(177\) | 6.00000 | 0.450988 | ||||||||
\(178\) | −3.00000 | + | 5.19615i | −0.224860 | + | 0.389468i | ||||
\(179\) | −1.50000 | − | 2.59808i | −0.112115 | − | 0.194189i | 0.804508 | − | 0.593942i | \(-0.202429\pi\) |
−0.916623 | + | 0.399753i | \(0.869096\pi\) | |||||||
\(180\) | 3.00000 | + | 5.19615i | 0.223607 | + | 0.387298i | ||||
\(181\) | 20.0000 | 1.48659 | 0.743294 | − | 0.668965i | \(-0.233262\pi\) | ||||
0.743294 | + | 0.668965i | \(0.233262\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 8.00000 | 0.591377 | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −10.5000 | − | 18.1865i | −0.771975 | − | 1.33710i | ||||
\(186\) | −2.00000 | + | 3.46410i | −0.146647 | + | 0.254000i | ||||
\(187\) | 18.0000 | 1.31629 | ||||||||
\(188\) | 1.50000 | − | 2.59808i | 0.109399 | − | 0.189484i | ||||
\(189\) | 2.50000 | − | 4.33013i | 0.181848 | − | 0.314970i | ||||
\(190\) | −6.00000 | −0.435286 | ||||||||
\(191\) | 9.00000 | − | 15.5885i | 0.651217 | − | 1.12794i | −0.331611 | − | 0.943416i | \(-0.607592\pi\) |
0.982828 | − | 0.184525i | \(-0.0590746\pi\) | |||||||
\(192\) | −0.500000 | − | 0.866025i | −0.0360844 | − | 0.0625000i | ||||
\(193\) | −2.00000 | − | 3.46410i | −0.143963 | − | 0.249351i | 0.785022 | − | 0.619467i | \(-0.212651\pi\) |
−0.928986 | + | 0.370116i | \(0.879318\pi\) | |||||||
\(194\) | 10.0000 | 0.717958 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −6.00000 | −0.428571 | ||||||||
\(197\) | 1.50000 | + | 2.59808i | 0.106871 | + | 0.185105i | 0.914501 | − | 0.404584i | \(-0.132584\pi\) |
−0.807630 | + | 0.589689i | \(0.799250\pi\) | |||||||
\(198\) | −6.00000 | − | 10.3923i | −0.426401 | − | 0.738549i | ||||
\(199\) | −1.00000 | + | 1.73205i | −0.0708881 | + | 0.122782i | −0.899291 | − | 0.437351i | \(-0.855917\pi\) |
0.828403 | + | 0.560133i | \(0.189250\pi\) | |||||||
\(200\) | 4.00000 | 0.282843 | ||||||||
\(201\) | 7.00000 | − | 12.1244i | 0.493742 | − | 0.855186i | ||||
\(202\) | 6.00000 | − | 10.3923i | 0.422159 | − | 0.731200i | ||||
\(203\) | 6.00000 | 0.421117 | ||||||||
\(204\) | 1.50000 | − | 2.59808i | 0.105021 | − | 0.181902i | ||||
\(205\) | 0 | 0 | ||||||||
\(206\) | 2.00000 | + | 3.46410i | 0.139347 | + | 0.241355i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 12.0000 | 0.830057 | ||||||||
\(210\) | −1.50000 | − | 2.59808i | −0.103510 | − | 0.179284i | ||||
\(211\) | 6.50000 | + | 11.2583i | 0.447478 | + | 0.775055i | 0.998221 | − | 0.0596196i | \(-0.0189888\pi\) |
−0.550743 | + | 0.834675i | \(0.685655\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 3.00000 | 0.205557 | ||||||||
\(214\) | −6.00000 | + | 10.3923i | −0.410152 | + | 0.710403i | ||||
\(215\) | 1.50000 | − | 2.59808i | 0.102299 | − | 0.177187i | ||||
\(216\) | −5.00000 | −0.340207 | ||||||||
\(217\) | −2.00000 | + | 3.46410i | −0.135769 | + | 0.235159i | ||||
\(218\) | −3.50000 | − | 6.06218i | −0.237050 | − | 0.410582i | ||||
\(219\) | 1.00000 | + | 1.73205i | 0.0675737 | + | 0.117041i | ||||
\(220\) | −18.0000 | −1.21356 | ||||||||
\(221\) | 0 | 0 | ||||||||
\(222\) | 7.00000 | 0.469809 | ||||||||
\(223\) | −9.50000 | − | 16.4545i | −0.636167 | − | 1.10187i | −0.986267 | − | 0.165161i | \(-0.947186\pi\) |
0.350100 | − | 0.936713i | \(-0.386148\pi\) | |||||||
\(224\) | −0.500000 | − | 0.866025i | −0.0334077 | − | 0.0578638i | ||||
\(225\) | 4.00000 | − | 6.92820i | 0.266667 | − | 0.461880i | ||||
\(226\) | −6.00000 | −0.399114 | ||||||||
\(227\) | 0 | 0 | −0.866025 | − | 0.500000i | \(-0.833333\pi\) | ||||
0.866025 | + | 0.500000i | \(0.166667\pi\) | |||||||
\(228\) | 1.00000 | − | 1.73205i | 0.0662266 | − | 0.114708i | ||||
\(229\) | 13.0000 | 0.859064 | 0.429532 | − | 0.903052i | \(-0.358679\pi\) | ||||
0.429532 | + | 0.903052i | \(0.358679\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 3.00000 | + | 5.19615i | 0.197386 | + | 0.341882i | ||||
\(232\) | −3.00000 | − | 5.19615i | −0.196960 | − | 0.341144i | ||||
\(233\) | −27.0000 | −1.76883 | −0.884414 | − | 0.466702i | \(-0.845442\pi\) | ||||
−0.884414 | + | 0.466702i | \(0.845442\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −9.00000 | −0.587095 | ||||||||
\(236\) | −3.00000 | − | 5.19615i | −0.195283 | − | 0.338241i | ||||
\(237\) | −4.00000 | − | 6.92820i | −0.259828 | − | 0.450035i | ||||
\(238\) | 1.50000 | − | 2.59808i | 0.0972306 | − | 0.168408i | ||||
\(239\) | −15.0000 | −0.970269 | −0.485135 | − | 0.874439i | \(-0.661229\pi\) | ||||
−0.485135 | + | 0.874439i | \(0.661229\pi\) | |||||||
\(240\) | −1.50000 | + | 2.59808i | −0.0968246 | + | 0.167705i | ||||
\(241\) | −5.00000 | + | 8.66025i | −0.322078 | + | 0.557856i | −0.980917 | − | 0.194429i | \(-0.937715\pi\) |
0.658838 | + | 0.752285i | \(0.271048\pi\) | |||||||
\(242\) | 25.0000 | 1.60706 | ||||||||
\(243\) | −8.00000 | + | 13.8564i | −0.513200 | + | 0.888889i | ||||
\(244\) | −4.00000 | − | 6.92820i | −0.256074 | − | 0.443533i | ||||
\(245\) | 9.00000 | + | 15.5885i | 0.574989 | + | 0.995910i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 0 | 0 | ||||||||
\(248\) | 4.00000 | 0.254000 | ||||||||
\(249\) | 6.00000 | + | 10.3923i | 0.380235 | + | 0.658586i | ||||
\(250\) | 1.50000 | + | 2.59808i | 0.0948683 | + | 0.164317i | ||||
\(251\) | −12.0000 | + | 20.7846i | −0.757433 | + | 1.31191i | 0.186722 | + | 0.982413i | \(0.440214\pi\) |
−0.944156 | + | 0.329500i | \(0.893120\pi\) | |||||||
\(252\) | −2.00000 | −0.125988 | ||||||||
\(253\) | 0 | 0 | ||||||||
\(254\) | −10.0000 | + | 17.3205i | −0.627456 | + | 1.08679i | ||||
\(255\) | −9.00000 | −0.563602 | ||||||||
\(256\) | −0.500000 | + | 0.866025i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | −4.50000 | − | 7.79423i | −0.280702 | − | 0.486191i | 0.690856 | − | 0.722993i | \(-0.257234\pi\) |
−0.971558 | + | 0.236802i | \(0.923901\pi\) | |||||||
\(258\) | 0.500000 | + | 0.866025i | 0.0311286 | + | 0.0539164i | ||||
\(259\) | 7.00000 | 0.434959 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −12.0000 | −0.742781 | ||||||||
\(262\) | 10.5000 | + | 18.1865i | 0.648692 | + | 1.12357i | ||||
\(263\) | 6.00000 | + | 10.3923i | 0.369976 | + | 0.640817i | 0.989561 | − | 0.144112i | \(-0.0460326\pi\) |
−0.619586 | + | 0.784929i | \(0.712699\pi\) | |||||||
\(264\) | 3.00000 | − | 5.19615i | 0.184637 | − | 0.319801i | ||||
\(265\) | 0 | 0 | ||||||||
\(266\) | 1.00000 | − | 1.73205i | 0.0613139 | − | 0.106199i | ||||
\(267\) | −3.00000 | + | 5.19615i | −0.183597 | + | 0.317999i | ||||
\(268\) | −14.0000 | −0.855186 | ||||||||
\(269\) | −12.0000 | + | 20.7846i | −0.731653 | + | 1.26726i | 0.224523 | + | 0.974469i | \(0.427917\pi\) |
−0.956176 | + | 0.292791i | \(0.905416\pi\) | |||||||
\(270\) | 7.50000 | + | 12.9904i | 0.456435 | + | 0.790569i | ||||
\(271\) | 5.50000 | + | 9.52628i | 0.334101 | + | 0.578680i | 0.983312 | − | 0.181928i | \(-0.0582339\pi\) |
−0.649211 | + | 0.760609i | \(0.724901\pi\) | |||||||
\(272\) | −3.00000 | −0.181902 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 12.0000 | + | 20.7846i | 0.723627 | + | 1.25336i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 14.0000 | − | 24.2487i | 0.841178 | − | 1.45696i | −0.0477206 | − | 0.998861i | \(-0.515196\pi\) |
0.888899 | − | 0.458103i | \(-0.151471\pi\) | |||||||
\(278\) | −13.0000 | −0.779688 | ||||||||
\(279\) | 4.00000 | − | 6.92820i | 0.239474 | − | 0.414781i | ||||
\(280\) | −1.50000 | + | 2.59808i | −0.0896421 | + | 0.155265i | ||||
\(281\) | 6.00000 | 0.357930 | 0.178965 | − | 0.983855i | \(-0.442725\pi\) | ||||
0.178965 | + | 0.983855i | \(0.442725\pi\) | |||||||
\(282\) | 1.50000 | − | 2.59808i | 0.0893237 | − | 0.154713i | ||||
\(283\) | 2.00000 | + | 3.46410i | 0.118888 | + | 0.205919i | 0.919327 | − | 0.393494i | \(-0.128734\pi\) |
−0.800439 | + | 0.599414i | \(0.795400\pi\) | |||||||
\(284\) | −1.50000 | − | 2.59808i | −0.0890086 | − | 0.154167i | ||||
\(285\) | −6.00000 | −0.355409 | ||||||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 0 | 0 | ||||||||
\(288\) | 1.00000 | + | 1.73205i | 0.0589256 | + | 0.102062i | ||||
\(289\) | 4.00000 | + | 6.92820i | 0.235294 | + | 0.407541i | ||||
\(290\) | −9.00000 | + | 15.5885i | −0.528498 | + | 0.915386i | ||||
\(291\) | 10.0000 | 0.586210 | ||||||||
\(292\) | 1.00000 | − | 1.73205i | 0.0585206 | − | 0.101361i | ||||
\(293\) | 10.5000 | − | 18.1865i | 0.613417 | − | 1.06247i | −0.377244 | − | 0.926114i | \(-0.623128\pi\) |
0.990660 | − | 0.136355i | \(-0.0435386\pi\) | |||||||
\(294\) | −6.00000 | −0.349927 | ||||||||
\(295\) | −9.00000 | + | 15.5885i | −0.524000 | + | 0.907595i | ||||
\(296\) | −3.50000 | − | 6.06218i | −0.203433 | − | 0.352357i | ||||
\(297\) | −15.0000 | − | 25.9808i | −0.870388 | − | 1.50756i | ||||
\(298\) | 6.00000 | 0.347571 | ||||||||
\(299\) | 0 | 0 | ||||||||
\(300\) | 4.00000 | 0.230940 | ||||||||
\(301\) | 0.500000 | + | 0.866025i | 0.0288195 | + | 0.0499169i | ||||
\(302\) | 8.50000 | + | 14.7224i | 0.489120 | + | 0.847181i | ||||
\(303\) | 6.00000 | − | 10.3923i | 0.344691 | − | 0.597022i | ||||
\(304\) | −2.00000 | −0.114708 | ||||||||
\(305\) | −12.0000 | + | 20.7846i | −0.687118 | + | 1.19012i | ||||
\(306\) | −3.00000 | + | 5.19615i | −0.171499 | + | 0.297044i | ||||
\(307\) | −2.00000 | −0.114146 | −0.0570730 | − | 0.998370i | \(-0.518177\pi\) | ||||
−0.0570730 | + | 0.998370i | \(0.518177\pi\) | |||||||
\(308\) | 3.00000 | − | 5.19615i | 0.170941 | − | 0.296078i | ||||
\(309\) | 2.00000 | + | 3.46410i | 0.113776 | + | 0.197066i | ||||
\(310\) | −6.00000 | − | 10.3923i | −0.340777 | − | 0.590243i | ||||
\(311\) | −30.0000 | −1.70114 | −0.850572 | − | 0.525859i | \(-0.823744\pi\) | ||||
−0.850572 | + | 0.525859i | \(0.823744\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −1.00000 | −0.0565233 | −0.0282617 | − | 0.999601i | \(-0.508997\pi\) | ||||
−0.0282617 | + | 0.999601i | \(0.508997\pi\) | |||||||
\(314\) | −7.00000 | − | 12.1244i | −0.395033 | − | 0.684217i | ||||
\(315\) | 3.00000 | + | 5.19615i | 0.169031 | + | 0.292770i | ||||
\(316\) | −4.00000 | + | 6.92820i | −0.225018 | + | 0.389742i | ||||
\(317\) | 6.00000 | 0.336994 | 0.168497 | − | 0.985702i | \(-0.446109\pi\) | ||||
0.168497 | + | 0.985702i | \(0.446109\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 18.0000 | − | 31.1769i | 1.00781 | − | 1.74557i | ||||
\(320\) | 3.00000 | 0.167705 | ||||||||
\(321\) | −6.00000 | + | 10.3923i | −0.334887 | + | 0.580042i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −3.00000 | − | 5.19615i | −0.166924 | − | 0.289122i | ||||
\(324\) | 1.00000 | 0.0555556 | ||||||||
\(325\) | 0 | 0 | ||||||||
\(326\) | 16.0000 | 0.886158 | ||||||||
\(327\) | −3.50000 | − | 6.06218i | −0.193550 | − | 0.335239i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 1.50000 | − | 2.59808i | 0.0826977 | − | 0.143237i | ||||
\(330\) | −18.0000 | −0.990867 | ||||||||
\(331\) | 4.00000 | − | 6.92820i | 0.219860 | − | 0.380808i | −0.734905 | − | 0.678170i | \(-0.762773\pi\) |
0.954765 | + | 0.297361i | \(0.0961066\pi\) | |||||||
\(332\) | 6.00000 | − | 10.3923i | 0.329293 | − | 0.570352i | ||||
\(333\) | −14.0000 | −0.767195 | ||||||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 21.0000 | + | 36.3731i | 1.14735 | + | 1.98727i | ||||
\(336\) | −0.500000 | − | 0.866025i | −0.0272772 | − | 0.0472456i | ||||
\(337\) | 23.0000 | 1.25289 | 0.626445 | − | 0.779466i | \(-0.284509\pi\) | ||||
0.626445 | + | 0.779466i | \(0.284509\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −6.00000 | −0.325875 | ||||||||
\(340\) | 4.50000 | + | 7.79423i | 0.244047 | + | 0.422701i | ||||
\(341\) | 12.0000 | + | 20.7846i | 0.649836 | + | 1.12555i | ||||
\(342\) | −2.00000 | + | 3.46410i | −0.108148 | + | 0.187317i | ||||
\(343\) | −13.0000 | −0.701934 | ||||||||
\(344\) | 0.500000 | − | 0.866025i | 0.0269582 | − | 0.0466930i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −1.50000 | + | 2.59808i | −0.0805242 | + | 0.139472i | −0.903475 | − | 0.428640i | \(-0.858993\pi\) |
0.822951 | + | 0.568112i | \(0.192326\pi\) | |||||||
\(348\) | −3.00000 | − | 5.19615i | −0.160817 | − | 0.278543i | ||||
\(349\) | −9.50000 | − | 16.4545i | −0.508523 | − | 0.880788i | −0.999951 | − | 0.00987003i | \(-0.996858\pi\) |
0.491428 | − | 0.870918i | \(-0.336475\pi\) | |||||||
\(350\) | 4.00000 | 0.213809 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −6.00000 | −0.319801 | ||||||||
\(353\) | 12.0000 | + | 20.7846i | 0.638696 | + | 1.10625i | 0.985719 | + | 0.168397i | \(0.0538590\pi\) |
−0.347024 | + | 0.937856i | \(0.612808\pi\) | |||||||
\(354\) | −3.00000 | − | 5.19615i | −0.159448 | − | 0.276172i | ||||
\(355\) | −4.50000 | + | 7.79423i | −0.238835 | + | 0.413675i | ||||
\(356\) | 6.00000 | 0.317999 | ||||||||
\(357\) | 1.50000 | − | 2.59808i | 0.0793884 | − | 0.137505i | ||||
\(358\) | −1.50000 | + | 2.59808i | −0.0792775 | + | 0.137313i | ||||
\(359\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(360\) | 3.00000 | − | 5.19615i | 0.158114 | − | 0.273861i | ||||
\(361\) | 7.50000 | + | 12.9904i | 0.394737 | + | 0.683704i | ||||
\(362\) | −10.0000 | − | 17.3205i | −0.525588 | − | 0.910346i | ||||
\(363\) | 25.0000 | 1.31216 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −6.00000 | −0.314054 | ||||||||
\(366\) | −4.00000 | − | 6.92820i | −0.209083 | − | 0.362143i | ||||
\(367\) | −13.0000 | − | 22.5167i | −0.678594 | − | 1.17536i | −0.975404 | − | 0.220423i | \(-0.929256\pi\) |
0.296810 | − | 0.954937i | \(-0.404077\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −10.5000 | + | 18.1865i | −0.545869 | + | 0.945473i | ||||
\(371\) | 0 | 0 | ||||||||
\(372\) | 4.00000 | 0.207390 | ||||||||
\(373\) | 2.00000 | − | 3.46410i | 0.103556 | − | 0.179364i | −0.809591 | − | 0.586994i | \(-0.800311\pi\) |
0.913147 | + | 0.407630i | \(0.133645\pi\) | |||||||
\(374\) | −9.00000 | − | 15.5885i | −0.465379 | − | 0.806060i | ||||
\(375\) | 1.50000 | + | 2.59808i | 0.0774597 | + | 0.134164i | ||||
\(376\) | −3.00000 | −0.154713 | ||||||||
\(377\) | 0 | 0 | ||||||||
\(378\) | −5.00000 | −0.257172 | ||||||||
\(379\) | 10.0000 | + | 17.3205i | 0.513665 | + | 0.889695i | 0.999874 | + | 0.0158521i | \(0.00504609\pi\) |
−0.486209 | + | 0.873843i | \(0.661621\pi\) | |||||||
\(380\) | 3.00000 | + | 5.19615i | 0.153897 | + | 0.266557i | ||||
\(381\) | −10.0000 | + | 17.3205i | −0.512316 | + | 0.887357i | ||||
\(382\) | −18.0000 | −0.920960 | ||||||||
\(383\) | 10.5000 | − | 18.1865i | 0.536525 | − | 0.929288i | −0.462563 | − | 0.886586i | \(-0.653070\pi\) |
0.999088 | − | 0.0427020i | \(-0.0135966\pi\) | |||||||
\(384\) | −0.500000 | + | 0.866025i | −0.0255155 | + | 0.0441942i | ||||
\(385\) | −18.0000 | −0.917365 | ||||||||
\(386\) | −2.00000 | + | 3.46410i | −0.101797 | + | 0.176318i | ||||
\(387\) | −1.00000 | − | 1.73205i | −0.0508329 | − | 0.0880451i | ||||
\(388\) | −5.00000 | − | 8.66025i | −0.253837 | − | 0.439658i | ||||
\(389\) | −6.00000 | −0.304212 | −0.152106 | − | 0.988364i | \(-0.548606\pi\) | ||||
−0.152106 | + | 0.988364i | \(0.548606\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 0 | 0 | ||||||||
\(392\) | 3.00000 | + | 5.19615i | 0.151523 | + | 0.262445i | ||||
\(393\) | 10.5000 | + | 18.1865i | 0.529655 | + | 0.917389i | ||||
\(394\) | 1.50000 | − | 2.59808i | 0.0755689 | − | 0.130889i | ||||
\(395\) | 24.0000 | 1.20757 | ||||||||
\(396\) | −6.00000 | + | 10.3923i | −0.301511 | + | 0.522233i | ||||
\(397\) | −17.0000 | + | 29.4449i | −0.853206 | + | 1.47780i | 0.0250943 | + | 0.999685i | \(0.492011\pi\) |
−0.878300 | + | 0.478110i | \(0.841322\pi\) | |||||||
\(398\) | 2.00000 | 0.100251 | ||||||||
\(399\) | 1.00000 | − | 1.73205i | 0.0500626 | − | 0.0867110i | ||||
\(400\) | −2.00000 | − | 3.46410i | −0.100000 | − | 0.173205i | ||||
\(401\) | 18.0000 | + | 31.1769i | 0.898877 | + | 1.55690i | 0.828932 | + | 0.559350i | \(0.188949\pi\) |
0.0699455 | + | 0.997551i | \(0.477717\pi\) | |||||||
\(402\) | −14.0000 | −0.698257 | ||||||||
\(403\) | 0 | 0 | ||||||||
\(404\) | −12.0000 | −0.597022 | ||||||||
\(405\) | −1.50000 | − | 2.59808i | −0.0745356 | − | 0.129099i | ||||
\(406\) | −3.00000 | − | 5.19615i | −0.148888 | − | 0.257881i | ||||
\(407\) | 21.0000 | − | 36.3731i | 1.04093 | − | 1.80295i | ||||
\(408\) | −3.00000 | −0.148522 | ||||||||
\(409\) | 16.0000 | − | 27.7128i | 0.791149 | − | 1.37031i | −0.134107 | − | 0.990967i | \(-0.542817\pi\) |
0.925256 | − | 0.379344i | \(-0.123850\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 2.00000 | − | 3.46410i | 0.0985329 | − | 0.170664i | ||||
\(413\) | −3.00000 | − | 5.19615i | −0.147620 | − | 0.255686i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −36.0000 | −1.76717 | ||||||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −13.0000 | −0.636613 | ||||||||
\(418\) | −6.00000 | − | 10.3923i | −0.293470 | − | 0.508304i | ||||
\(419\) | −4.50000 | − | 7.79423i | −0.219839 | − | 0.380773i | 0.734919 | − | 0.678155i | \(-0.237220\pi\) |
−0.954759 | + | 0.297382i | \(0.903887\pi\) | |||||||
\(420\) | −1.50000 | + | 2.59808i | −0.0731925 | + | 0.126773i | ||||
\(421\) | −17.0000 | −0.828529 | −0.414265 | − | 0.910156i | \(-0.635961\pi\) | ||||
−0.414265 | + | 0.910156i | \(0.635961\pi\) | |||||||
\(422\) | 6.50000 | − | 11.2583i | 0.316415 | − | 0.548047i | ||||
\(423\) | −3.00000 | + | 5.19615i | −0.145865 | + | 0.252646i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 6.00000 | − | 10.3923i | 0.291043 | − | 0.504101i | ||||
\(426\) | −1.50000 | − | 2.59808i | −0.0726752 | − | 0.125877i | ||||
\(427\) | −4.00000 | − | 6.92820i | −0.193574 | − | 0.335279i | ||||
\(428\) | 12.0000 | 0.580042 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −3.00000 | −0.144673 | ||||||||
\(431\) | −16.5000 | − | 28.5788i | −0.794777 | − | 1.37659i | −0.922981 | − | 0.384846i | \(-0.874254\pi\) |
0.128204 | − | 0.991748i | \(-0.459079\pi\) | |||||||
\(432\) | 2.50000 | + | 4.33013i | 0.120281 | + | 0.208333i | ||||
\(433\) | 12.5000 | − | 21.6506i | 0.600712 | − | 1.04046i | −0.392002 | − | 0.919964i | \(-0.628217\pi\) |
0.992713 | − | 0.120499i | \(-0.0384494\pi\) | |||||||
\(434\) | 4.00000 | 0.192006 | ||||||||
\(435\) | −9.00000 | + | 15.5885i | −0.431517 | + | 0.747409i | ||||
\(436\) | −3.50000 | + | 6.06218i | −0.167620 | + | 0.290326i | ||||
\(437\) | 0 | 0 | ||||||||
\(438\) | 1.00000 | − | 1.73205i | 0.0477818 | − | 0.0827606i | ||||
\(439\) | −13.0000 | − | 22.5167i | −0.620456 | − | 1.07466i | −0.989401 | − | 0.145210i | \(-0.953614\pi\) |
0.368945 | − | 0.929451i | \(-0.379719\pi\) | |||||||
\(440\) | 9.00000 | + | 15.5885i | 0.429058 | + | 0.743151i | ||||
\(441\) | 12.0000 | 0.571429 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 21.0000 | 0.997740 | 0.498870 | − | 0.866677i | \(-0.333748\pi\) | ||||
0.498870 | + | 0.866677i | \(0.333748\pi\) | |||||||
\(444\) | −3.50000 | − | 6.06218i | −0.166103 | − | 0.287698i | ||||
\(445\) | −9.00000 | − | 15.5885i | −0.426641 | − | 0.738964i | ||||
\(446\) | −9.50000 | + | 16.4545i | −0.449838 | + | 0.779142i | ||||
\(447\) | 6.00000 | 0.283790 | ||||||||
\(448\) | −0.500000 | + | 0.866025i | −0.0236228 | + | 0.0409159i | ||||
\(449\) | 3.00000 | − | 5.19615i | 0.141579 | − | 0.245222i | −0.786513 | − | 0.617574i | \(-0.788115\pi\) |
0.928091 | + | 0.372353i | \(0.121449\pi\) | |||||||
\(450\) | −8.00000 | −0.377124 | ||||||||
\(451\) | 0 | 0 | ||||||||
\(452\) | 3.00000 | + | 5.19615i | 0.141108 | + | 0.244406i | ||||
\(453\) | 8.50000 | + | 14.7224i | 0.399365 | + | 0.691720i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −2.00000 | −0.0936586 | ||||||||
\(457\) | −5.00000 | − | 8.66025i | −0.233890 | − | 0.405110i | 0.725059 | − | 0.688686i | \(-0.241812\pi\) |
−0.958950 | + | 0.283577i | \(0.908479\pi\) | |||||||
\(458\) | −6.50000 | − | 11.2583i | −0.303725 | − | 0.526067i | ||||
\(459\) | −7.50000 | + | 12.9904i | −0.350070 | + | 0.606339i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 4.50000 | − | 7.79423i | 0.209586 | − | 0.363013i | −0.741998 | − | 0.670402i | \(-0.766122\pi\) |
0.951584 | + | 0.307388i | \(0.0994551\pi\) | |||||||
\(462\) | 3.00000 | − | 5.19615i | 0.139573 | − | 0.241747i | ||||
\(463\) | 40.0000 | 1.85896 | 0.929479 | − | 0.368875i | \(-0.120257\pi\) | ||||
0.929479 | + | 0.368875i | \(0.120257\pi\) | |||||||
\(464\) | −3.00000 | + | 5.19615i | −0.139272 | + | 0.241225i | ||||
\(465\) | −6.00000 | − | 10.3923i | −0.278243 | − | 0.481932i | ||||
\(466\) | 13.5000 | + | 23.3827i | 0.625375 | + | 1.08318i | ||||
\(467\) | 36.0000 | 1.66588 | 0.832941 | − | 0.553362i | \(-0.186655\pi\) | ||||
0.832941 | + | 0.553362i | \(0.186655\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −14.0000 | −0.646460 | ||||||||
\(470\) | 4.50000 | + | 7.79423i | 0.207570 | + | 0.359521i | ||||
\(471\) | −7.00000 | − | 12.1244i | −0.322543 | − | 0.558661i | ||||
\(472\) | −3.00000 | + | 5.19615i | −0.138086 | + | 0.239172i | ||||
\(473\) | 6.00000 | 0.275880 | ||||||||
\(474\) | −4.00000 | + | 6.92820i | −0.183726 | + | 0.318223i | ||||
\(475\) | 4.00000 | − | 6.92820i | 0.183533 | − | 0.317888i | ||||
\(476\) | −3.00000 | −0.137505 | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 7.50000 | + | 12.9904i | 0.343042 | + | 0.594166i | ||||
\(479\) | −10.5000 | − | 18.1865i | −0.479757 | − | 0.830964i | 0.519973 | − | 0.854183i | \(-0.325942\pi\) |
−0.999730 | + | 0.0232187i | \(0.992609\pi\) | |||||||
\(480\) | 3.00000 | 0.136931 | ||||||||
\(481\) | 0 | 0 | ||||||||
\(482\) | 10.0000 | 0.455488 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −12.5000 | − | 21.6506i | −0.568182 | − | 0.984120i | ||||
\(485\) | −15.0000 | + | 25.9808i | −0.681115 | + | 1.17973i | ||||
\(486\) | 16.0000 | 0.725775 | ||||||||
\(487\) | −8.00000 | + | 13.8564i | −0.362515 | + | 0.627894i | −0.988374 | − | 0.152042i | \(-0.951415\pi\) |
0.625859 | + | 0.779936i | \(0.284748\pi\) | |||||||
\(488\) | −4.00000 | + | 6.92820i | −0.181071 | + | 0.313625i | ||||
\(489\) | 16.0000 | 0.723545 | ||||||||
\(490\) | 9.00000 | − | 15.5885i | 0.406579 | − | 0.704215i | ||||
\(491\) | 4.50000 | + | 7.79423i | 0.203082 | + | 0.351749i | 0.949520 | − | 0.313707i | \(-0.101571\pi\) |
−0.746438 | + | 0.665455i | \(0.768237\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −18.0000 | −0.810679 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 36.0000 | 1.61808 | ||||||||
\(496\) | −2.00000 | − | 3.46410i | −0.0898027 | − | 0.155543i | ||||
\(497\) | −1.50000 | − | 2.59808i | −0.0672842 | − | 0.116540i | ||||
\(498\) | 6.00000 | − | 10.3923i | 0.268866 | − | 0.465690i | ||||
\(499\) | 40.0000 | 1.79065 | 0.895323 | − | 0.445418i | \(-0.146945\pi\) | ||||
0.895323 | + | 0.445418i | \(0.146945\pi\) | |||||||
\(500\) | 1.50000 | − | 2.59808i | 0.0670820 | − | 0.116190i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 24.0000 | 1.07117 | ||||||||
\(503\) | 15.0000 | − | 25.9808i | 0.668817 | − | 1.15842i | −0.309418 | − | 0.950926i | \(-0.600134\pi\) |
0.978235 | − | 0.207499i | \(-0.0665323\pi\) | |||||||
\(504\) | 1.00000 | + | 1.73205i | 0.0445435 | + | 0.0771517i | ||||
\(505\) | 18.0000 | + | 31.1769i | 0.800989 | + | 1.38735i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 20.0000 | 0.887357 | ||||||||
\(509\) | −9.00000 | − | 15.5885i | −0.398918 | − | 0.690946i | 0.594675 | − | 0.803966i | \(-0.297281\pi\) |
−0.993593 | + | 0.113020i | \(0.963948\pi\) | |||||||
\(510\) | 4.50000 | + | 7.79423i | 0.199263 | + | 0.345134i | ||||
\(511\) | 1.00000 | − | 1.73205i | 0.0442374 | − | 0.0766214i | ||||
\(512\) | 1.00000 | 0.0441942 | ||||||||
\(513\) | −5.00000 | + | 8.66025i | −0.220755 | + | 0.382360i | ||||
\(514\) | −4.50000 | + | 7.79423i | −0.198486 | + | 0.343789i | ||||
\(515\) | −12.0000 | −0.528783 | ||||||||
\(516\) | 0.500000 | − | 0.866025i | 0.0220113 | − | 0.0381246i | ||||
\(517\) | −9.00000 | − | 15.5885i | −0.395820 | − | 0.685580i | ||||
\(518\) | −3.50000 | − | 6.06218i | −0.153781 | − | 0.266357i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −9.00000 | −0.394297 | −0.197149 | − | 0.980374i | \(-0.563168\pi\) | ||||
−0.197149 | + | 0.980374i | \(0.563168\pi\) | |||||||
\(522\) | 6.00000 | + | 10.3923i | 0.262613 | + | 0.454859i | ||||
\(523\) | −10.0000 | − | 17.3205i | −0.437269 | − | 0.757373i | 0.560208 | − | 0.828352i | \(-0.310721\pi\) |
−0.997478 | + | 0.0709788i | \(0.977388\pi\) | |||||||
\(524\) | 10.5000 | − | 18.1865i | 0.458695 | − | 0.794482i | ||||
\(525\) | 4.00000 | 0.174574 | ||||||||
\(526\) | 6.00000 | − | 10.3923i | 0.261612 | − | 0.453126i | ||||
\(527\) | 6.00000 | − | 10.3923i | 0.261364 | − | 0.452696i | ||||
\(528\) | −6.00000 | −0.261116 | ||||||||
\(529\) | 11.5000 | − | 19.9186i | 0.500000 | − | 0.866025i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 6.00000 | + | 10.3923i | 0.260378 | + | 0.450988i | ||||
\(532\) | −2.00000 | −0.0867110 | ||||||||
\(533\) | 0 | 0 | ||||||||
\(534\) | 6.00000 | 0.259645 | ||||||||
\(535\) | −18.0000 | − | 31.1769i | −0.778208 | − | 1.34790i | ||||
\(536\) | 7.00000 | + | 12.1244i | 0.302354 | + | 0.523692i | ||||
\(537\) | −1.50000 | + | 2.59808i | −0.0647298 | + | 0.112115i | ||||
\(538\) | 24.0000 | 1.03471 | ||||||||
\(539\) | −18.0000 | + | 31.1769i | −0.775315 | + | 1.34288i | ||||
\(540\) | 7.50000 | − | 12.9904i | 0.322749 | − | 0.559017i | ||||
\(541\) | −11.0000 | −0.472927 | −0.236463 | − | 0.971640i | \(-0.575988\pi\) | ||||
−0.236463 | + | 0.971640i | \(0.575988\pi\) | |||||||
\(542\) | 5.50000 | − | 9.52628i | 0.236245 | − | 0.409189i | ||||
\(543\) | −10.0000 | − | 17.3205i | −0.429141 | − | 0.743294i | ||||
\(544\) | 1.50000 | + | 2.59808i | 0.0643120 | + | 0.111392i | ||||
\(545\) | 21.0000 | 0.899541 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 17.0000 | 0.726868 | 0.363434 | − | 0.931620i | \(-0.381604\pi\) | ||||
0.363434 | + | 0.931620i | \(0.381604\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 8.00000 | + | 13.8564i | 0.341432 | + | 0.591377i | ||||
\(550\) | 12.0000 | − | 20.7846i | 0.511682 | − | 0.886259i | ||||
\(551\) | −12.0000 | −0.511217 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −4.00000 | + | 6.92820i | −0.170097 | + | 0.294617i | ||||
\(554\) | −28.0000 | −1.18961 | ||||||||
\(555\) | −10.5000 | + | 18.1865i | −0.445700 | + | 0.771975i | ||||
\(556\) | 6.50000 | + | 11.2583i | 0.275661 | + | 0.477460i | ||||
\(557\) | 1.50000 | + | 2.59808i | 0.0635570 | + | 0.110084i | 0.896053 | − | 0.443947i | \(-0.146422\pi\) |
−0.832496 | + | 0.554031i | \(0.813089\pi\) | |||||||
\(558\) | −8.00000 | −0.338667 | ||||||||
\(559\) | 0 | 0 | ||||||||
\(560\) | 3.00000 | 0.126773 | ||||||||
\(561\) | −9.00000 | − | 15.5885i | −0.379980 | − | 0.658145i | ||||
\(562\) | −3.00000 | − | 5.19615i | −0.126547 | − | 0.219186i | ||||
\(563\) | −19.5000 | + | 33.7750i | −0.821827 | + | 1.42345i | 0.0824933 | + | 0.996592i | \(0.473712\pi\) |
−0.904320 | + | 0.426855i | \(0.859622\pi\) | |||||||
\(564\) | −3.00000 | −0.126323 | ||||||||
\(565\) | 9.00000 | − | 15.5885i | 0.378633 | − | 0.655811i | ||||
\(566\) | 2.00000 | − | 3.46410i | 0.0840663 | − | 0.145607i | ||||
\(567\) | 1.00000 | 0.0419961 | ||||||||
\(568\) | −1.50000 | + | 2.59808i | −0.0629386 | + | 0.109013i | ||||
\(569\) | −7.50000 | − | 12.9904i | −0.314416 | − | 0.544585i | 0.664897 | − | 0.746935i | \(-0.268475\pi\) |
−0.979313 | + | 0.202350i | \(0.935142\pi\) | |||||||
\(570\) | 3.00000 | + | 5.19615i | 0.125656 | + | 0.217643i | ||||
\(571\) | 5.00000 | 0.209243 | 0.104622 | − | 0.994512i | \(-0.466637\pi\) | ||||
0.104622 | + | 0.994512i | \(0.466637\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −18.0000 | −0.751961 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 0 | 0 | ||||||||
\(576\) | 1.00000 | − | 1.73205i | 0.0416667 | − | 0.0721688i | ||||
\(577\) | −38.0000 | −1.58196 | −0.790980 | − | 0.611842i | \(-0.790429\pi\) | ||||
−0.790980 | + | 0.611842i | \(0.790429\pi\) | |||||||
\(578\) | 4.00000 | − | 6.92820i | 0.166378 | − | 0.288175i | ||||
\(579\) | −2.00000 | + | 3.46410i | −0.0831172 | + | 0.143963i | ||||
\(580\) | 18.0000 | 0.747409 | ||||||||
\(581\) | 6.00000 | − | 10.3923i | 0.248922 | − | 0.431145i | ||||
\(582\) | −5.00000 | − | 8.66025i | −0.207257 | − | 0.358979i | ||||
\(583\) | 0 | 0 | ||||||||
\(584\) | −2.00000 | −0.0827606 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −21.0000 | −0.867502 | ||||||||
\(587\) | 12.0000 | + | 20.7846i | 0.495293 | + | 0.857873i | 0.999985 | − | 0.00542667i | \(-0.00172737\pi\) |
−0.504692 | + | 0.863299i | \(0.668394\pi\) | |||||||
\(588\) | 3.00000 | + | 5.19615i | 0.123718 | + | 0.214286i | ||||
\(589\) | 4.00000 | − | 6.92820i | 0.164817 | − | 0.285472i | ||||
\(590\) | 18.0000 | 0.741048 | ||||||||
\(591\) | 1.50000 | − | 2.59808i | 0.0617018 | − | 0.106871i | ||||
\(592\) | −3.50000 | + | 6.06218i | −0.143849 | + | 0.249154i | ||||
\(593\) | −18.0000 | −0.739171 | −0.369586 | − | 0.929197i | \(-0.620500\pi\) | ||||
−0.369586 | + | 0.929197i | \(0.620500\pi\) | |||||||
\(594\) | −15.0000 | + | 25.9808i | −0.615457 | + | 1.06600i | ||||
\(595\) | 4.50000 | + | 7.79423i | 0.184482 | + | 0.319532i | ||||
\(596\) | −3.00000 | − | 5.19615i | −0.122885 | − | 0.212843i | ||||
\(597\) | 2.00000 | 0.0818546 | ||||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 6.00000 | 0.245153 | 0.122577 | − | 0.992459i | \(-0.460884\pi\) | ||||
0.122577 | + | 0.992459i | \(0.460884\pi\) | |||||||
\(600\) | −2.00000 | − | 3.46410i | −0.0816497 | − | 0.141421i | ||||
\(601\) | 9.50000 | + | 16.4545i | 0.387513 | + | 0.671192i | 0.992114 | − | 0.125336i | \(-0.0400009\pi\) |
−0.604601 | + | 0.796528i | \(0.706668\pi\) | |||||||
\(602\) | 0.500000 | − | 0.866025i | 0.0203785 | − | 0.0352966i | ||||
\(603\) | 28.0000 | 1.14025 | ||||||||
\(604\) | 8.50000 | − | 14.7224i | 0.345860 | − | 0.599047i | ||||
\(605\) | −37.5000 | + | 64.9519i | −1.52459 | + | 2.64067i | ||||
\(606\) | −12.0000 | −0.487467 | ||||||||
\(607\) | −7.00000 | + | 12.1244i | −0.284121 | + | 0.492112i | −0.972396 | − | 0.233338i | \(-0.925035\pi\) |
0.688274 | + | 0.725450i | \(0.258368\pi\) | |||||||
\(608\) | 1.00000 | + | 1.73205i | 0.0405554 | + | 0.0702439i | ||||
\(609\) | −3.00000 | − | 5.19615i | −0.121566 | − | 0.210559i | ||||
\(610\) | 24.0000 | 0.971732 | ||||||||
\(611\) | 0 | 0 | ||||||||
\(612\) | 6.00000 | 0.242536 | ||||||||
\(613\) | 19.0000 | + | 32.9090i | 0.767403 | + | 1.32918i | 0.938967 | + | 0.344008i | \(0.111785\pi\) |
−0.171564 | + | 0.985173i | \(0.554882\pi\) | |||||||
\(614\) | 1.00000 | + | 1.73205i | 0.0403567 | + | 0.0698999i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −6.00000 | −0.241747 | ||||||||
\(617\) | −12.0000 | + | 20.7846i | −0.483102 | + | 0.836757i | −0.999812 | − | 0.0194037i | \(-0.993823\pi\) |
0.516710 | + | 0.856161i | \(0.327157\pi\) | |||||||
\(618\) | 2.00000 | − | 3.46410i | 0.0804518 | − | 0.139347i | ||||
\(619\) | 28.0000 | 1.12542 | 0.562708 | − | 0.826656i | \(-0.309760\pi\) | ||||
0.562708 | + | 0.826656i | \(0.309760\pi\) | |||||||
\(620\) | −6.00000 | + | 10.3923i | −0.240966 | + | 0.417365i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 15.0000 | + | 25.9808i | 0.601445 | + | 1.04173i | ||||
\(623\) | 6.00000 | 0.240385 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −29.0000 | −1.16000 | ||||||||
\(626\) | 0.500000 | + | 0.866025i | 0.0199840 | + | 0.0346133i | ||||
\(627\) | −6.00000 | − | 10.3923i | −0.239617 | − | 0.415029i | ||||
\(628\) | −7.00000 | + | 12.1244i | −0.279330 | + | 0.483814i | ||||
\(629\) | −21.0000 | −0.837325 | ||||||||
\(630\) | 3.00000 | − | 5.19615i | 0.119523 | − | 0.207020i | ||||
\(631\) | 14.5000 | − | 25.1147i | 0.577236 | − | 0.999802i | −0.418559 | − | 0.908190i | \(-0.637465\pi\) |
0.995795 | − | 0.0916122i | \(-0.0292020\pi\) | |||||||
\(632\) | 8.00000 | 0.318223 | ||||||||
\(633\) | 6.50000 | − | 11.2583i | 0.258352 | − | 0.447478i | ||||
\(634\) | −3.00000 | − | 5.19615i | −0.119145 | − | 0.206366i | ||||
\(635\) | −30.0000 | − | 51.9615i | −1.19051 | − | 2.06203i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 0 | 0 | ||||||||
\(638\) | −36.0000 | −1.42525 | ||||||||
\(639\) | 3.00000 | + | 5.19615i | 0.118678 | + | 0.205557i | ||||
\(640\) | −1.50000 | − | 2.59808i | −0.0592927 | − | 0.102698i | ||||
\(641\) | 9.00000 | − | 15.5885i | 0.355479 | − | 0.615707i | −0.631721 | − | 0.775196i | \(-0.717651\pi\) |
0.987200 | + | 0.159489i | \(0.0509845\pi\) | |||||||
\(642\) | 12.0000 | 0.473602 | ||||||||
\(643\) | 7.00000 | − | 12.1244i | 0.276053 | − | 0.478138i | −0.694347 | − | 0.719640i | \(-0.744307\pi\) |
0.970400 | + | 0.241502i | \(0.0776401\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −3.00000 | −0.118125 | ||||||||
\(646\) | −3.00000 | + | 5.19615i | −0.118033 | + | 0.204440i | ||||
\(647\) | 3.00000 | + | 5.19615i | 0.117942 | + | 0.204282i | 0.918952 | − | 0.394369i | \(-0.129037\pi\) |
−0.801010 | + | 0.598651i | \(0.795704\pi\) | |||||||
\(648\) | −0.500000 | − | 0.866025i | −0.0196419 | − | 0.0340207i | ||||
\(649\) | −36.0000 | −1.41312 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 4.00000 | 0.156772 | ||||||||
\(652\) | −8.00000 | − | 13.8564i | −0.313304 | − | 0.542659i | ||||
\(653\) | 0 | 0 | 0.866025 | − | 0.500000i | \(-0.166667\pi\) | ||||
−0.866025 | + | 0.500000i | \(0.833333\pi\) | |||||||
\(654\) | −3.50000 | + | 6.06218i | −0.136861 | + | 0.237050i | ||||
\(655\) | −63.0000 | −2.46161 | ||||||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −2.00000 | + | 3.46410i | −0.0780274 | + | 0.135147i | ||||
\(658\) | −3.00000 | −0.116952 | ||||||||
\(659\) | 18.0000 | − | 31.1769i | 0.701180 | − | 1.21448i | −0.266872 | − | 0.963732i | \(-0.585990\pi\) |
0.968052 | − | 0.250748i | \(-0.0806766\pi\) | |||||||
\(660\) | 9.00000 | + | 15.5885i | 0.350325 | + | 0.606780i | ||||
\(661\) | −11.0000 | − | 19.0526i | −0.427850 | − | 0.741059i | 0.568831 | − | 0.822454i | \(-0.307396\pi\) |
−0.996682 | + | 0.0813955i | \(0.974062\pi\) | |||||||
\(662\) | −8.00000 | −0.310929 | ||||||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −12.0000 | −0.465690 | ||||||||
\(665\) | 3.00000 | + | 5.19615i | 0.116335 | + | 0.201498i | ||||
\(666\) | 7.00000 | + | 12.1244i | 0.271244 | + | 0.469809i | ||||
\(667\) | 0 | 0 | ||||||||
\(668\) | 0 | 0 | ||||||||
\(669\) | −9.50000 | + | 16.4545i | −0.367291 | + | 0.636167i | ||||
\(670\) | 21.0000 | − | 36.3731i | 0.811301 | − | 1.40521i | ||||
\(671\) | −48.0000 | −1.85302 | ||||||||
\(672\) | −0.500000 | + | 0.866025i | −0.0192879 | + | 0.0334077i | ||||
\(673\) | 9.50000 | + | 16.4545i | 0.366198 | + | 0.634274i | 0.988968 | − | 0.148132i | \(-0.0473259\pi\) |
−0.622770 | + | 0.782405i | \(0.713993\pi\) | |||||||
\(674\) | −11.5000 | − | 19.9186i | −0.442963 | − | 0.767235i | ||||
\(675\) | −20.0000 | −0.769800 | ||||||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 48.0000 | 1.84479 | 0.922395 | − | 0.386248i | \(-0.126229\pi\) | ||||
0.922395 | + | 0.386248i | \(0.126229\pi\) | |||||||
\(678\) | 3.00000 | + | 5.19615i | 0.115214 | + | 0.199557i | ||||
\(679\) | −5.00000 | − | 8.66025i | −0.191882 | − | 0.332350i | ||||
\(680\) | 4.50000 | − | 7.79423i | 0.172567 | − | 0.298895i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 12.0000 | − | 20.7846i | 0.459504 | − | 0.795884i | ||||
\(683\) | 12.0000 | − | 20.7846i | 0.459167 | − | 0.795301i | −0.539750 | − | 0.841825i | \(-0.681481\pi\) |
0.998917 | + | 0.0465244i | \(0.0148145\pi\) | |||||||
\(684\) | 4.00000 | 0.152944 | ||||||||
\(685\) | 0 | 0 | ||||||||
\(686\) | 6.50000 | + | 11.2583i | 0.248171 | + | 0.429845i | ||||
\(687\) | −6.50000 | − | 11.2583i | −0.247990 | − | 0.429532i | ||||
\(688\) | −1.00000 | −0.0381246 | ||||||||
\(689\) | 0 | 0 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 4.00000 | + | 6.92820i | 0.152167 | + | 0.263561i | 0.932024 | − | 0.362397i | \(-0.118041\pi\) |
−0.779857 | + | 0.625958i | \(0.784708\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | −6.00000 | + | 10.3923i | −0.227921 | + | 0.394771i | ||||
\(694\) | 3.00000 | 0.113878 | ||||||||
\(695\) | 19.5000 | − | 33.7750i | 0.739677 | − | 1.28116i | ||||
\(696\) | −3.00000 | + | 5.19615i | −0.113715 | + | 0.196960i | ||||
\(697\) | 0 | 0 | ||||||||
\(698\) | −9.50000 | + | 16.4545i | −0.359580 | + | 0.622811i | ||||
\(699\) | 13.5000 | + | 23.3827i | 0.510617 | + | 0.884414i | ||||
\(700\) | −2.00000 | − | 3.46410i | −0.0755929 | − | 0.130931i | ||||
\(701\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −14.0000 | −0.528020 | ||||||||
\(704\) | 3.00000 | + | 5.19615i | 0.113067 | + | 0.195837i | ||||
\(705\) | 4.50000 | + | 7.79423i | 0.169480 | + | 0.293548i | ||||
\(706\) | 12.0000 | − | 20.7846i | 0.451626 | − | 0.782239i | ||||
\(707\) | −12.0000 | −0.451306 | ||||||||
\(708\) | −3.00000 | + | 5.19615i | −0.112747 | + | 0.195283i | ||||
\(709\) | 13.0000 | − | 22.5167i | 0.488225 | − | 0.845631i | −0.511683 | − | 0.859174i | \(-0.670978\pi\) |
0.999908 | + | 0.0135434i | \(0.00431112\pi\) | |||||||
\(710\) | 9.00000 | 0.337764 | ||||||||
\(711\) | 8.00000 | − | 13.8564i | 0.300023 | − | 0.519656i | ||||
\(712\) | −3.00000 | − | 5.19615i | −0.112430 | − | 0.194734i | ||||
\(713\) | 0 | 0 | ||||||||
\(714\) | −3.00000 | −0.112272 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 3.00000 | 0.112115 | ||||||||
\(717\) | 7.50000 | + | 12.9904i | 0.280093 | + | 0.485135i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −3.00000 | + | 5.19615i | −0.111881 | + | 0.193784i | −0.916529 | − | 0.399969i | \(-0.869021\pi\) |
0.804648 | + | 0.593753i | \(0.202354\pi\) | |||||||
\(720\) | −6.00000 | −0.223607 | ||||||||
\(721\) | 2.00000 | − | 3.46410i | 0.0744839 | − | 0.129010i | ||||
\(722\) | 7.50000 | − | 12.9904i | 0.279121 | − | 0.483452i | ||||
\(723\) | 10.0000 | 0.371904 | ||||||||
\(724\) | −10.0000 | + | 17.3205i | −0.371647 | + | 0.643712i | ||||
\(725\) | −12.0000 | − | 20.7846i | −0.445669 | − | 0.771921i | ||||
\(726\) | −12.5000 | − | 21.6506i | −0.463919 | − | 0.803530i | ||||
\(727\) | −10.0000 | −0.370879 | −0.185440 | − | 0.982656i | \(-0.559371\pi\) | ||||
−0.185440 | + | 0.982656i | \(0.559371\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 13.0000 | 0.481481 | ||||||||
\(730\) | 3.00000 | + | 5.19615i | 0.111035 | + | 0.192318i | ||||
\(731\) | −1.50000 | − | 2.59808i | −0.0554795 | − | 0.0960933i | ||||
\(732\) | −4.00000 | + | 6.92820i | −0.147844 | + | 0.256074i | ||||
\(733\) | −23.0000 | −0.849524 | −0.424762 | − | 0.905305i | \(-0.639642\pi\) | ||||
−0.424762 | + | 0.905305i | \(0.639642\pi\) | |||||||
\(734\) | −13.0000 | + | 22.5167i | −0.479839 | + | 0.831105i | ||||
\(735\) | 9.00000 | − | 15.5885i | 0.331970 | − | 0.574989i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −42.0000 | + | 72.7461i | −1.54709 | + | 2.67964i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 10.0000 | + | 17.3205i | 0.367856 | + | 0.637145i | 0.989230 | − | 0.146369i | \(-0.0467586\pi\) |
−0.621374 | + | 0.783514i | \(0.713425\pi\) | |||||||
\(740\) | 21.0000 | 0.771975 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −4.50000 | − | 7.79423i | −0.165089 | − | 0.285943i | 0.771598 | − | 0.636111i | \(-0.219458\pi\) |
−0.936687 | + | 0.350168i | \(0.886124\pi\) | |||||||
\(744\) | −2.00000 | − | 3.46410i | −0.0733236 | − | 0.127000i | ||||
\(745\) | −9.00000 | + | 15.5885i | −0.329734 | + | 0.571117i | ||||
\(746\) | −4.00000 | −0.146450 | ||||||||
\(747\) | −12.0000 | + | 20.7846i | −0.439057 | + | 0.760469i | ||||
\(748\) | −9.00000 | + | 15.5885i | −0.329073 | + | 0.569970i | ||||
\(749\) | 12.0000 | 0.438470 | ||||||||
\(750\) | 1.50000 | − | 2.59808i | 0.0547723 | − | 0.0948683i | ||||
\(751\) | 20.0000 | + | 34.6410i | 0.729810 | + | 1.26407i | 0.956963 | + | 0.290209i | \(0.0937250\pi\) |
−0.227153 | + | 0.973859i | \(0.572942\pi\) | |||||||
\(752\) | 1.50000 | + | 2.59808i | 0.0546994 | + | 0.0947421i | ||||
\(753\) | 24.0000 | 0.874609 | ||||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −51.0000 | −1.85608 | ||||||||
\(756\) | 2.50000 | + | 4.33013i | 0.0909241 | + | 0.157485i | ||||
\(757\) | 8.00000 | + | 13.8564i | 0.290765 | + | 0.503620i | 0.973991 | − | 0.226587i | \(-0.0727569\pi\) |
−0.683226 | + | 0.730207i | \(0.739424\pi\) | |||||||
\(758\) | 10.0000 | − | 17.3205i | 0.363216 | − | 0.629109i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 3.00000 | − | 5.19615i | 0.108821 | − | 0.188484i | ||||
\(761\) | −3.00000 | + | 5.19615i | −0.108750 | + | 0.188360i | −0.915264 | − | 0.402854i | \(-0.868018\pi\) |
0.806514 | + | 0.591215i | \(0.201351\pi\) | |||||||
\(762\) | 20.0000 | 0.724524 | ||||||||
\(763\) | −3.50000 | + | 6.06218i | −0.126709 | + | 0.219466i | ||||
\(764\) | 9.00000 | + | 15.5885i | 0.325609 | + | 0.563971i | ||||
\(765\) | −9.00000 | − | 15.5885i | −0.325396 | − | 0.563602i | ||||
\(766\) | −21.0000 | −0.758761 | ||||||||
\(767\) | 0 | 0 | ||||||||
\(768\) | 1.00000 | 0.0360844 | ||||||||
\(769\) | 16.0000 | + | 27.7128i | 0.576975 | + | 0.999350i | 0.995824 | + | 0.0912938i | \(0.0291002\pi\) |
−0.418849 | + | 0.908056i | \(0.637566\pi\) | |||||||
\(770\) | 9.00000 | + | 15.5885i | 0.324337 | + | 0.561769i | ||||
\(771\) | −4.50000 | + | 7.79423i | −0.162064 | + | 0.280702i | ||||
\(772\) | 4.00000 | 0.143963 | ||||||||
\(773\) | −19.5000 | + | 33.7750i | −0.701366 | + | 1.21480i | 0.266621 | + | 0.963802i | \(0.414093\pi\) |
−0.967987 | + | 0.251000i | \(0.919240\pi\) | |||||||
\(774\) | −1.00000 | + | 1.73205i | −0.0359443 | + | 0.0622573i | ||||
\(775\) | 16.0000 | 0.574737 | ||||||||
\(776\) | −5.00000 | + | 8.66025i | −0.179490 | + | 0.310885i | ||||
\(777\) | −3.50000 | − | 6.06218i | −0.125562 | − | 0.217479i | ||||
\(778\) | 3.00000 | + | 5.19615i | 0.107555 | + | 0.186291i | ||||
\(779\) | 0 | 0 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −18.0000 | −0.644091 | ||||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 15.0000 | + | 25.9808i | 0.536056 | + | 0.928477i | ||||
\(784\) | 3.00000 | − | 5.19615i | 0.107143 | − | 0.185577i | ||||
\(785\) | 42.0000 | 1.49904 | ||||||||
\(786\) | 10.5000 | − | 18.1865i | 0.374523 | − | 0.648692i | ||||
\(787\) | −20.0000 | + | 34.6410i | −0.712923 | + | 1.23482i | 0.250832 | + | 0.968031i | \(0.419296\pi\) |
−0.963755 | + | 0.266788i | \(0.914038\pi\) | |||||||
\(788\) | −3.00000 | −0.106871 | ||||||||
\(789\) | 6.00000 | − | 10.3923i | 0.213606 | − | 0.369976i | ||||
\(790\) | −12.0000 | − | 20.7846i | −0.426941 | − | 0.739483i | ||||
\(791\) | 3.00000 | + | 5.19615i | 0.106668 | + | 0.184754i | ||||
\(792\) | 12.0000 | 0.426401 | ||||||||
\(793\) | 0 | 0 | ||||||||
\(794\) | 34.0000 | 1.20661 | ||||||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −1.00000 | − | 1.73205i | −0.0354441 | − | 0.0613909i | ||||
\(797\) | 21.0000 | − | 36.3731i | 0.743858 | − | 1.28840i | −0.206868 | − | 0.978369i | \(-0.566327\pi\) |
0.950726 | − | 0.310031i | \(-0.100340\pi\) | |||||||
\(798\) | −2.00000 | −0.0707992 | ||||||||
\(799\) | −4.50000 | + | 7.79423i | −0.159199 | + | 0.275740i | ||||
\(800\) | −2.00000 | + | 3.46410i | −0.0707107 | + | 0.122474i | ||||
\(801\) | −12.0000 | −0.423999 | ||||||||
\(802\) | 18.0000 | − | 31.1769i | 0.635602 | − | 1.10090i | ||||
\(803\) | −6.00000 | − | 10.3923i | −0.211735 | − | 0.366736i | ||||
\(804\) | 7.00000 | + | 12.1244i | 0.246871 | + | 0.427593i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 24.0000 | 0.844840 | ||||||||
\(808\) | 6.00000 | + | 10.3923i | 0.211079 | + | 0.365600i | ||||
\(809\) | 16.5000 | + | 28.5788i | 0.580109 | + | 1.00478i | 0.995466 | + | 0.0951198i | \(0.0303234\pi\) |
−0.415357 | + | 0.909659i | \(0.636343\pi\) | |||||||
\(810\) | −1.50000 | + | 2.59808i | −0.0527046 | + | 0.0912871i | ||||
\(811\) | −20.0000 | −0.702295 | −0.351147 | − | 0.936320i | \(-0.614208\pi\) | ||||
−0.351147 | + | 0.936320i | \(0.614208\pi\) | |||||||
\(812\) | −3.00000 | + | 5.19615i | −0.105279 | + | 0.182349i | ||||
\(813\) | 5.50000 | − | 9.52628i | 0.192893 | − | 0.334101i | ||||
\(814\) | −42.0000 | −1.47210 | ||||||||
\(815\) | −24.0000 | + | 41.5692i | −0.840683 | + | 1.45611i | ||||
\(816\) | 1.50000 | + | 2.59808i | 0.0525105 | + | 0.0909509i | ||||
\(817\) | −1.00000 | − | 1.73205i | −0.0349856 | − | 0.0605968i | ||||
\(818\) | −32.0000 | −1.11885 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −1.50000 | − | 2.59808i | −0.0523504 | − | 0.0906735i | 0.838663 | − | 0.544651i | \(-0.183338\pi\) |
−0.891013 | + | 0.453978i | \(0.850005\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −7.00000 | + | 12.1244i | −0.244005 | + | 0.422628i | −0.961851 | − | 0.273573i | \(-0.911795\pi\) |
0.717847 | + | 0.696201i | \(0.245128\pi\) | |||||||
\(824\) | −4.00000 | −0.139347 | ||||||||
\(825\) | 12.0000 | − | 20.7846i | 0.417786 | − | 0.723627i | ||||
\(826\) | −3.00000 | + | 5.19615i | −0.104383 | + | 0.180797i | ||||
\(827\) | −18.0000 | −0.625921 | −0.312961 | − | 0.949766i | \(-0.601321\pi\) | ||||
−0.312961 | + | 0.949766i | \(0.601321\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −19.0000 | − | 32.9090i | −0.659897 | − | 1.14298i | −0.980642 | − | 0.195810i | \(-0.937266\pi\) |
0.320745 | − | 0.947166i | \(-0.396067\pi\) | |||||||
\(830\) | 18.0000 | + | 31.1769i | 0.624789 | + | 1.08217i | ||||
\(831\) | −28.0000 | −0.971309 | ||||||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 18.0000 | 0.623663 | ||||||||
\(834\) | 6.50000 | + | 11.2583i | 0.225077 | + | 0.389844i | ||||
\(835\) | 0 | 0 | ||||||||
\(836\) | −6.00000 | + | 10.3923i | −0.207514 | + | 0.359425i | ||||
\(837\) | −20.0000 | −0.691301 | ||||||||
\(838\) | −4.50000 | + | 7.79423i | −0.155450 | + | 0.269247i | ||||
\(839\) | 0 | 0 | −0.866025 | − | 0.500000i | \(-0.833333\pi\) | ||||
0.866025 | + | 0.500000i | \(0.166667\pi\) | |||||||
\(840\) | 3.00000 | 0.103510 | ||||||||
\(841\) | −3.50000 | + | 6.06218i | −0.120690 | + | 0.209041i | ||||
\(842\) | 8.50000 | + | 14.7224i | 0.292929 | + | 0.507369i | ||||
\(843\) | −3.00000 | − | 5.19615i | −0.103325 | − | 0.178965i | ||||
\(844\) | −13.0000 | −0.447478 | ||||||||
\(845\) | 0 | 0 | ||||||||
\(846\) | 6.00000 | 0.206284 | ||||||||
\(847\) | −12.5000 | − | 21.6506i | −0.429505 | − | 0.743925i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 2.00000 | − | 3.46410i | 0.0686398 | − | 0.118888i | ||||
\(850\) | −12.0000 | −0.411597 | ||||||||
\(851\) | 0 | 0 | ||||||||
\(852\) | −1.50000 | + | 2.59808i | −0.0513892 | + | 0.0890086i | ||||
\(853\) | 37.0000 | 1.26686 | 0.633428 | − | 0.773802i | \(-0.281647\pi\) | ||||
0.633428 | + | 0.773802i | \(0.281647\pi\) | |||||||
\(854\) | −4.00000 | + | 6.92820i | −0.136877 | + | 0.237078i | ||||
\(855\) | −6.00000 | − | 10.3923i | −0.205196 | − | 0.355409i | ||||
\(856\) | −6.00000 | − | 10.3923i | −0.205076 | − | 0.355202i | ||||
\(857\) | −42.0000 | −1.43469 | −0.717346 | − | 0.696717i | \(-0.754643\pi\) | ||||
−0.717346 | + | 0.696717i | \(0.754643\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −4.00000 | −0.136478 | −0.0682391 | − | 0.997669i | \(-0.521738\pi\) | ||||
−0.0682391 | + | 0.997669i | \(0.521738\pi\) | |||||||
\(860\) | 1.50000 | + | 2.59808i | 0.0511496 | + | 0.0885937i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −16.5000 | + | 28.5788i | −0.561992 | + | 0.973399i | ||||
\(863\) | 45.0000 | 1.53182 | 0.765909 | − | 0.642949i | \(-0.222289\pi\) | ||||
0.765909 | + | 0.642949i | \(0.222289\pi\) | |||||||
\(864\) | 2.50000 | − | 4.33013i | 0.0850517 | − | 0.147314i | ||||
\(865\) | 0 | 0 | ||||||||
\(866\) | −25.0000 | −0.849535 | ||||||||
\(867\) | 4.00000 | − | 6.92820i | 0.135847 | − | 0.235294i | ||||
\(868\) | −2.00000 | − | 3.46410i | −0.0678844 | − | 0.117579i | ||||
\(869\) | 24.0000 | + | 41.5692i | 0.814144 | + | 1.41014i | ||||
\(870\) | 18.0000 | 0.610257 | ||||||||
\(871\) | 0 | 0 | ||||||||
\(872\) | 7.00000 | 0.237050 | ||||||||
\(873\) | 10.0000 | + | 17.3205i | 0.338449 | + | 0.586210i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 1.50000 | − | 2.59808i | 0.0507093 | − | 0.0878310i | ||||
\(876\) | −2.00000 | −0.0675737 | ||||||||
\(877\) | −6.50000 | + | 11.2583i | −0.219489 | + | 0.380167i | −0.954652 | − | 0.297724i | \(-0.903772\pi\) |
0.735163 | + | 0.677891i | \(0.237106\pi\) | |||||||
\(878\) | −13.0000 | + | 22.5167i | −0.438729 | + | 0.759900i | ||||
\(879\) | −21.0000 | −0.708312 | ||||||||
\(880\) | 9.00000 | − | 15.5885i | 0.303390 | − | 0.525487i | ||||
\(881\) | −10.5000 | − | 18.1865i | −0.353754 | − | 0.612720i | 0.633150 | − | 0.774029i | \(-0.281762\pi\) |
−0.986904 | + | 0.161309i | \(0.948428\pi\) | |||||||
\(882\) | −6.00000 | − | 10.3923i | −0.202031 | − | 0.349927i | ||||
\(883\) | 29.0000 | 0.975928 | 0.487964 | − | 0.872864i | \(-0.337740\pi\) | ||||
0.487964 | + | 0.872864i | \(0.337740\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 18.0000 | 0.605063 | ||||||||
\(886\) | −10.5000 | − | 18.1865i | −0.352754 | − | 0.610989i | ||||
\(887\) | 0 | 0 | 0.866025 | − | 0.500000i | \(-0.166667\pi\) | ||||
−0.866025 | + | 0.500000i | \(0.833333\pi\) | |||||||
\(888\) | −3.50000 | + | 6.06218i | −0.117452 | + | 0.203433i | ||||
\(889\) | 20.0000 | 0.670778 | ||||||||
\(890\) | −9.00000 | + | 15.5885i | −0.301681 | + | 0.522526i | ||||
\(891\) | 3.00000 | − | 5.19615i | 0.100504 | − | 0.174078i | ||||
\(892\) | 19.0000 | 0.636167 | ||||||||
\(893\) | −3.00000 | + | 5.19615i | −0.100391 | + | 0.173883i | ||||
\(894\) | −3.00000 | − | 5.19615i | −0.100335 | − | 0.173785i | ||||
\(895\) | −4.50000 | − | 7.79423i | −0.150418 | − | 0.260532i | ||||
\(896\) | 1.00000 | 0.0334077 | ||||||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −6.00000 | −0.200223 | ||||||||
\(899\) | −12.0000 | − | 20.7846i | −0.400222 | − | 0.693206i | ||||
\(900\) | 4.00000 | + | 6.92820i | 0.133333 | + | 0.230940i | ||||
\(901\) | 0 | 0 | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 0.500000 | − | 0.866025i | 0.0166390 | − | 0.0288195i | ||||
\(904\) | 3.00000 | − | 5.19615i | 0.0997785 | − | 0.172821i | ||||
\(905\) | 60.0000 | 1.99447 | ||||||||
\(906\) | 8.50000 | − | 14.7224i | 0.282394 | − | 0.489120i | ||||
\(907\) | 18.5000 | + | 32.0429i | 0.614282 | + | 1.06397i | 0.990510 | + | 0.137441i | \(0.0438878\pi\) |
−0.376228 | + | 0.926527i | \(0.622779\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 24.0000 | 0.796030 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 30.0000 | 0.993944 | 0.496972 | − | 0.867766i | \(-0.334445\pi\) | ||||
0.496972 | + | 0.867766i | \(0.334445\pi\) | |||||||
\(912\) | 1.00000 | + | 1.73205i | 0.0331133 | + | 0.0573539i | ||||
\(913\) | −36.0000 | − | 62.3538i | −1.19143 | − | 2.06361i | ||||
\(914\) | −5.00000 | + | 8.66025i | −0.165385 | + | 0.286456i | ||||
\(915\) | 24.0000 | 0.793416 | ||||||||
\(916\) | −6.50000 | + | 11.2583i | −0.214766 | + | 0.371986i | ||||
\(917\) | 10.5000 | − | 18.1865i | 0.346741 | − | 0.600572i | ||||
\(918\) | 15.0000 | 0.495074 | ||||||||
\(919\) | 8.00000 | − | 13.8564i | 0.263896 | − | 0.457081i | −0.703378 | − | 0.710816i | \(-0.748326\pi\) |
0.967274 | + | 0.253735i | \(0.0816592\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 1.00000 | + | 1.73205i | 0.0329511 | + | 0.0570730i | ||||
\(922\) | −9.00000 | −0.296399 | ||||||||
\(923\) | 0 | 0 | ||||||||
\(924\) | −6.00000 | −0.197386 | ||||||||
\(925\) | −14.0000 | − | 24.2487i | −0.460317 | − | 0.797293i | ||||
\(926\) | −20.0000 | − | 34.6410i | −0.657241 | − | 1.13837i | ||||
\(927\) | −4.00000 | + | 6.92820i | −0.131377 | + | 0.227552i | ||||
\(928\) | 6.00000 | 0.196960 | ||||||||
\(929\) | 18.0000 | − | 31.1769i | 0.590561 | − | 1.02288i | −0.403596 | − | 0.914937i | \(-0.632240\pi\) |
0.994157 | − | 0.107944i | \(-0.0344268\pi\) | |||||||
\(930\) | −6.00000 | + | 10.3923i | −0.196748 | + | 0.340777i | ||||
\(931\) | 12.0000 | 0.393284 | ||||||||
\(932\) | 13.5000 | − | 23.3827i | 0.442207 | − | 0.765925i | ||||
\(933\) | 15.0000 | + | 25.9808i | 0.491078 | + | 0.850572i | ||||
\(934\) | −18.0000 | − | 31.1769i | −0.588978 | − | 1.02014i | ||||
\(935\) | 54.0000 | 1.76599 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −34.0000 | −1.11073 | −0.555366 | − | 0.831606i | \(-0.687422\pi\) | ||||
−0.555366 | + | 0.831606i | \(0.687422\pi\) | |||||||
\(938\) | 7.00000 | + | 12.1244i | 0.228558 | + | 0.395874i | ||||
\(939\) | 0.500000 | + | 0.866025i | 0.0163169 | + | 0.0282617i | ||||
\(940\) | 4.50000 | − | 7.79423i | 0.146774 | − | 0.254220i | ||||
\(941\) | 21.0000 | 0.684580 | 0.342290 | − | 0.939594i | \(-0.388797\pi\) | ||||
0.342290 | + | 0.939594i | \(0.388797\pi\) | |||||||
\(942\) | −7.00000 | + | 12.1244i | −0.228072 | + | 0.395033i | ||||
\(943\) | 0 | 0 | ||||||||
\(944\) | 6.00000 | 0.195283 | ||||||||
\(945\) | 7.50000 | − | 12.9904i | 0.243975 | − | 0.422577i | ||||
\(946\) | −3.00000 | − | 5.19615i | −0.0975384 | − | 0.168941i | ||||
\(947\) | 3.00000 | + | 5.19615i | 0.0974869 | + | 0.168852i | 0.910644 | − | 0.413192i | \(-0.135586\pi\) |
−0.813157 | + | 0.582045i | \(0.802253\pi\) | |||||||
\(948\) | 8.00000 | 0.259828 | ||||||||
\(949\) | 0 | 0 | ||||||||
\(950\) | −8.00000 | −0.259554 | ||||||||
\(951\) | −3.00000 | − | 5.19615i | −0.0972817 | − | 0.168497i | ||||
\(952\) | 1.50000 | + | 2.59808i | 0.0486153 | + | 0.0842041i | ||||
\(953\) | −7.50000 | + | 12.9904i | −0.242949 | + | 0.420800i | −0.961553 | − | 0.274620i | \(-0.911448\pi\) |
0.718604 | + | 0.695419i | \(0.244781\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 27.0000 | − | 46.7654i | 0.873699 | − | 1.51329i | ||||
\(956\) | 7.50000 | − | 12.9904i | 0.242567 | − | 0.420139i | ||||
\(957\) | −36.0000 | −1.16371 | ||||||||
\(958\) | −10.5000 | + | 18.1865i | −0.339240 | + | 0.587580i | ||||
\(959\) | 0 | 0 | ||||||||
\(960\) | −1.50000 | − | 2.59808i | −0.0484123 | − | 0.0838525i | ||||
\(961\) | −15.0000 | −0.483871 | ||||||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −24.0000 | −0.773389 | ||||||||
\(964\) | −5.00000 | − | 8.66025i | −0.161039 | − | 0.278928i | ||||
\(965\) | −6.00000 | − | 10.3923i | −0.193147 | − | 0.334540i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 31.0000 | 0.996893 | 0.498446 | − | 0.866921i | \(-0.333904\pi\) | ||||
0.498446 | + | 0.866921i | \(0.333904\pi\) | |||||||
\(968\) | −12.5000 | + | 21.6506i | −0.401765 | + | 0.695878i | ||||
\(969\) | −3.00000 | + | 5.19615i | −0.0963739 | + | 0.166924i | ||||
\(970\) | 30.0000 | 0.963242 | ||||||||
\(971\) | 1.50000 | − | 2.59808i | 0.0481373 | − | 0.0833762i | −0.840953 | − | 0.541108i | \(-0.818005\pi\) |
0.889090 | + | 0.457732i | \(0.151338\pi\) | |||||||
\(972\) | −8.00000 | − | 13.8564i | −0.256600 | − | 0.444444i | ||||
\(973\) | 6.50000 | + | 11.2583i | 0.208380 | + | 0.360925i | ||||
\(974\) | 16.0000 | 0.512673 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 8.00000 | 0.256074 | ||||||||
\(977\) | −27.0000 | − | 46.7654i | −0.863807 | − | 1.49616i | −0.868227 | − | 0.496167i | \(-0.834741\pi\) |
0.00442082 | − | 0.999990i | \(-0.498593\pi\) | |||||||
\(978\) | −8.00000 | − | 13.8564i | −0.255812 | − | 0.443079i | ||||
\(979\) | 18.0000 | − | 31.1769i | 0.575282 | − | 0.996419i | ||||
\(980\) | −18.0000 | −0.574989 | ||||||||
\(981\) | 7.00000 | − | 12.1244i | 0.223493 | − | 0.387101i | ||||
\(982\) | 4.50000 | − | 7.79423i | 0.143601 | − | 0.248724i | ||||
\(983\) | −39.0000 | −1.24391 | −0.621953 | − | 0.783054i | \(-0.713661\pi\) | ||||
−0.621953 | + | 0.783054i | \(0.713661\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 4.50000 | + | 7.79423i | 0.143382 | + | 0.248345i | ||||
\(986\) | 9.00000 | + | 15.5885i | 0.286618 | + | 0.496438i | ||||
\(987\) | −3.00000 | −0.0954911 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 0 | 0 | ||||||||
\(990\) | −18.0000 | − | 31.1769i | −0.572078 | − | 0.990867i | ||||
\(991\) | −1.00000 | − | 1.73205i | −0.0317660 | − | 0.0550204i | 0.849705 | − | 0.527258i | \(-0.176780\pi\) |
−0.881471 | + | 0.472237i | \(0.843446\pi\) | |||||||
\(992\) | −2.00000 | + | 3.46410i | −0.0635001 | + | 0.109985i | ||||
\(993\) | −8.00000 | −0.253872 | ||||||||
\(994\) | −1.50000 | + | 2.59808i | −0.0475771 | + | 0.0824060i | ||||
\(995\) | −3.00000 | + | 5.19615i | −0.0951064 | + | 0.164729i | ||||
\(996\) | −12.0000 | −0.380235 | ||||||||
\(997\) | 23.0000 | − | 39.8372i | 0.728417 | − | 1.26166i | −0.229135 | − | 0.973395i | \(-0.573590\pi\) |
0.957552 | − | 0.288261i | \(-0.0930771\pi\) | |||||||
\(998\) | −20.0000 | − | 34.6410i | −0.633089 | − | 1.09654i | ||||
\(999\) | 17.5000 | + | 30.3109i | 0.553675 | + | 0.958994i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))