Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [882,2,Mod(295,882)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(882, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([4, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("882.295");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 882 = 2 \cdot 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 882.f (of order \(3\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(7.04280545828\) |
Analytic rank: | \(0\) |
Dimension: | \(2\) |
Coefficient field: | \(\Q(\zeta_{6})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{2} - x + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 126) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 295.1 | ||
Root | \(0.500000 + 0.866025i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 882.295 |
Dual form | 882.2.f.i.589.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/882\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(785\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{2}{3}\right)\) |
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 | ||||
\(5\) | −1.50000 | − | 2.59808i | −0.670820 | − | 1.16190i | −0.977672 | − | 0.210138i | \(-0.932609\pi\) |
0.306851 | − | 0.951757i | \(-0.400725\pi\) | |||||||
\(6\) | − | 1.73205i | − | 0.707107i | ||||||
\(7\) | 0 | 0 | ||||||||
\(8\) | −1.00000 | −0.353553 | ||||||||
\(9\) | 1.50000 | − | 2.59808i | 0.500000 | − | 0.866025i | ||||
\(10\) | −3.00000 | −0.948683 | ||||||||
\(11\) | 1.50000 | − | 2.59808i | 0.452267 | − | 0.783349i | −0.546259 | − | 0.837616i | \(-0.683949\pi\) |
0.998526 | + | 0.0542666i | \(0.0172821\pi\) | |||||||
\(12\) | −1.50000 | − | 0.866025i | −0.433013 | − | 0.250000i | ||||
\(13\) | 0.500000 | + | 0.866025i | 0.138675 | + | 0.240192i | 0.926995 | − | 0.375073i | \(-0.122382\pi\) |
−0.788320 | + | 0.615265i | \(0.789049\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −4.50000 | − | 2.59808i | −1.16190 | − | 0.670820i | ||||
\(16\) | −0.500000 | + | 0.866025i | −0.125000 | + | 0.216506i | ||||
\(17\) | 3.00000 | 0.727607 | 0.363803 | − | 0.931476i | \(-0.381478\pi\) | ||||
0.363803 | + | 0.931476i | \(0.381478\pi\) | |||||||
\(18\) | −1.50000 | − | 2.59808i | −0.353553 | − | 0.612372i | ||||
\(19\) | −7.00000 | −1.60591 | −0.802955 | − | 0.596040i | \(-0.796740\pi\) | ||||
−0.802955 | + | 0.596040i | \(0.796740\pi\) | |||||||
\(20\) | −1.50000 | + | 2.59808i | −0.335410 | + | 0.580948i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −1.50000 | − | 2.59808i | −0.319801 | − | 0.553912i | ||||
\(23\) | 4.50000 | + | 7.79423i | 0.938315 | + | 1.62521i | 0.768613 | + | 0.639713i | \(0.220947\pi\) |
0.169701 | + | 0.985496i | \(0.445720\pi\) | |||||||
\(24\) | −1.50000 | + | 0.866025i | −0.306186 | + | 0.176777i | ||||
\(25\) | −2.00000 | + | 3.46410i | −0.400000 | + | 0.692820i | ||||
\(26\) | 1.00000 | 0.196116 | ||||||||
\(27\) | − | 5.19615i | − | 1.00000i | ||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −1.50000 | + | 2.59808i | −0.278543 | + | 0.482451i | −0.971023 | − | 0.238987i | \(-0.923185\pi\) |
0.692480 | + | 0.721437i | \(0.256518\pi\) | |||||||
\(30\) | −4.50000 | + | 2.59808i | −0.821584 | + | 0.474342i | ||||
\(31\) | −4.00000 | − | 6.92820i | −0.718421 | − | 1.24434i | −0.961625 | − | 0.274367i | \(-0.911532\pi\) |
0.243204 | − | 0.969975i | \(-0.421802\pi\) | |||||||
\(32\) | 0.500000 | + | 0.866025i | 0.0883883 | + | 0.153093i | ||||
\(33\) | − | 5.19615i | − | 0.904534i | ||||||
\(34\) | 1.50000 | − | 2.59808i | 0.257248 | − | 0.445566i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | −3.00000 | −0.500000 | ||||||||
\(37\) | −1.00000 | −0.164399 | −0.0821995 | − | 0.996616i | \(-0.526194\pi\) | ||||
−0.0821995 | + | 0.996616i | \(0.526194\pi\) | |||||||
\(38\) | −3.50000 | + | 6.06218i | −0.567775 | + | 0.983415i | ||||
\(39\) | 1.50000 | + | 0.866025i | 0.240192 | + | 0.138675i | ||||
\(40\) | 1.50000 | + | 2.59808i | 0.237171 | + | 0.410792i | ||||
\(41\) | −1.50000 | − | 2.59808i | −0.234261 | − | 0.405751i | 0.724797 | − | 0.688963i | \(-0.241934\pi\) |
−0.959058 | + | 0.283211i | \(0.908600\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 0.500000 | − | 0.866025i | 0.0762493 | − | 0.132068i | −0.825380 | − | 0.564578i | \(-0.809039\pi\) |
0.901629 | + | 0.432511i | \(0.142372\pi\) | |||||||
\(44\) | −3.00000 | −0.452267 | ||||||||
\(45\) | −9.00000 | −1.34164 | ||||||||
\(46\) | 9.00000 | 1.32698 | ||||||||
\(47\) | 0 | 0 | −0.866025 | − | 0.500000i | \(-0.833333\pi\) | ||||
0.866025 | + | 0.500000i | \(0.166667\pi\) | |||||||
\(48\) | 1.73205i | 0.250000i | ||||||||
\(49\) | 0 | 0 | ||||||||
\(50\) | 2.00000 | + | 3.46410i | 0.282843 | + | 0.489898i | ||||
\(51\) | 4.50000 | − | 2.59808i | 0.630126 | − | 0.363803i | ||||
\(52\) | 0.500000 | − | 0.866025i | 0.0693375 | − | 0.120096i | ||||
\(53\) | 3.00000 | 0.412082 | 0.206041 | − | 0.978543i | \(-0.433942\pi\) | ||||
0.206041 | + | 0.978543i | \(0.433942\pi\) | |||||||
\(54\) | −4.50000 | − | 2.59808i | −0.612372 | − | 0.353553i | ||||
\(55\) | −9.00000 | −1.21356 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −10.5000 | + | 6.06218i | −1.39076 | + | 0.802955i | ||||
\(58\) | 1.50000 | + | 2.59808i | 0.196960 | + | 0.341144i | ||||
\(59\) | 0 | 0 | 0.866025 | − | 0.500000i | \(-0.166667\pi\) | ||||
−0.866025 | + | 0.500000i | \(0.833333\pi\) | |||||||
\(60\) | 5.19615i | 0.670820i | ||||||||
\(61\) | −1.00000 | + | 1.73205i | −0.128037 | + | 0.221766i | −0.922916 | − | 0.385002i | \(-0.874201\pi\) |
0.794879 | + | 0.606768i | \(0.207534\pi\) | |||||||
\(62\) | −8.00000 | −1.01600 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 1.00000 | 0.125000 | ||||||||
\(65\) | 1.50000 | − | 2.59808i | 0.186052 | − | 0.322252i | ||||
\(66\) | −4.50000 | − | 2.59808i | −0.553912 | − | 0.319801i | ||||
\(67\) | 2.00000 | + | 3.46410i | 0.244339 | + | 0.423207i | 0.961946 | − | 0.273241i | \(-0.0880957\pi\) |
−0.717607 | + | 0.696449i | \(0.754762\pi\) | |||||||
\(68\) | −1.50000 | − | 2.59808i | −0.181902 | − | 0.315063i | ||||
\(69\) | 13.5000 | + | 7.79423i | 1.62521 | + | 0.938315i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 12.0000 | 1.42414 | 0.712069 | − | 0.702109i | \(-0.247758\pi\) | ||||
0.712069 | + | 0.702109i | \(0.247758\pi\) | |||||||
\(72\) | −1.50000 | + | 2.59808i | −0.176777 | + | 0.306186i | ||||
\(73\) | 11.0000 | 1.28745 | 0.643726 | − | 0.765256i | \(-0.277388\pi\) | ||||
0.643726 | + | 0.765256i | \(0.277388\pi\) | |||||||
\(74\) | −0.500000 | + | 0.866025i | −0.0581238 | + | 0.100673i | ||||
\(75\) | 6.92820i | 0.800000i | ||||||||
\(76\) | 3.50000 | + | 6.06218i | 0.401478 | + | 0.695379i | ||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 1.50000 | − | 0.866025i | 0.169842 | − | 0.0980581i | ||||
\(79\) | 8.00000 | − | 13.8564i | 0.900070 | − | 1.55897i | 0.0726692 | − | 0.997356i | \(-0.476848\pi\) |
0.827401 | − | 0.561611i | \(-0.189818\pi\) | |||||||
\(80\) | 3.00000 | 0.335410 | ||||||||
\(81\) | −4.50000 | − | 7.79423i | −0.500000 | − | 0.866025i | ||||
\(82\) | −3.00000 | −0.331295 | ||||||||
\(83\) | 4.50000 | − | 7.79423i | 0.493939 | − | 0.855528i | −0.506036 | − | 0.862512i | \(-0.668890\pi\) |
0.999976 | + | 0.00698436i | \(0.00222321\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −4.50000 | − | 7.79423i | −0.488094 | − | 0.845403i | ||||
\(86\) | −0.500000 | − | 0.866025i | −0.0539164 | − | 0.0933859i | ||||
\(87\) | 5.19615i | 0.557086i | ||||||||
\(88\) | −1.50000 | + | 2.59808i | −0.159901 | + | 0.276956i | ||||
\(89\) | 3.00000 | 0.317999 | 0.159000 | − | 0.987279i | \(-0.449173\pi\) | ||||
0.159000 | + | 0.987279i | \(0.449173\pi\) | |||||||
\(90\) | −4.50000 | + | 7.79423i | −0.474342 | + | 0.821584i | ||||
\(91\) | 0 | 0 | ||||||||
\(92\) | 4.50000 | − | 7.79423i | 0.469157 | − | 0.812605i | ||||
\(93\) | −12.0000 | − | 6.92820i | −1.24434 | − | 0.718421i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 10.5000 | + | 18.1865i | 1.07728 | + | 1.86590i | ||||
\(96\) | 1.50000 | + | 0.866025i | 0.153093 | + | 0.0883883i | ||||
\(97\) | 0.500000 | − | 0.866025i | 0.0507673 | − | 0.0879316i | −0.839525 | − | 0.543321i | \(-0.817167\pi\) |
0.890292 | + | 0.455389i | \(0.150500\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −4.50000 | − | 7.79423i | −0.452267 | − | 0.783349i | ||||
\(100\) | 4.00000 | 0.400000 | ||||||||
\(101\) | −1.50000 | + | 2.59808i | −0.149256 | + | 0.258518i | −0.930953 | − | 0.365140i | \(-0.881021\pi\) |
0.781697 | + | 0.623658i | \(0.214354\pi\) | |||||||
\(102\) | − | 5.19615i | − | 0.514496i | ||||||
\(103\) | 6.50000 | + | 11.2583i | 0.640464 | + | 1.10932i | 0.985329 | + | 0.170664i | \(0.0545913\pi\) |
−0.344865 | + | 0.938652i | \(0.612075\pi\) | |||||||
\(104\) | −0.500000 | − | 0.866025i | −0.0490290 | − | 0.0849208i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 1.50000 | − | 2.59808i | 0.145693 | − | 0.252347i | ||||
\(107\) | 9.00000 | 0.870063 | 0.435031 | − | 0.900415i | \(-0.356737\pi\) | ||||
0.435031 | + | 0.900415i | \(0.356737\pi\) | |||||||
\(108\) | −4.50000 | + | 2.59808i | −0.433013 | + | 0.250000i | ||||
\(109\) | −13.0000 | −1.24517 | −0.622587 | − | 0.782551i | \(-0.713918\pi\) | ||||
−0.622587 | + | 0.782551i | \(0.713918\pi\) | |||||||
\(110\) | −4.50000 | + | 7.79423i | −0.429058 | + | 0.743151i | ||||
\(111\) | −1.50000 | + | 0.866025i | −0.142374 | + | 0.0821995i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 4.50000 | + | 7.79423i | 0.423324 | + | 0.733219i | 0.996262 | − | 0.0863794i | \(-0.0275297\pi\) |
−0.572938 | + | 0.819599i | \(0.694196\pi\) | |||||||
\(114\) | 12.1244i | 1.13555i | ||||||||
\(115\) | 13.5000 | − | 23.3827i | 1.25888 | − | 2.18045i | ||||
\(116\) | 3.00000 | 0.278543 | ||||||||
\(117\) | 3.00000 | 0.277350 | ||||||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 0 | 0 | ||||||||
\(120\) | 4.50000 | + | 2.59808i | 0.410792 | + | 0.237171i | ||||
\(121\) | 1.00000 | + | 1.73205i | 0.0909091 | + | 0.157459i | ||||
\(122\) | 1.00000 | + | 1.73205i | 0.0905357 | + | 0.156813i | ||||
\(123\) | −4.50000 | − | 2.59808i | −0.405751 | − | 0.234261i | ||||
\(124\) | −4.00000 | + | 6.92820i | −0.359211 | + | 0.622171i | ||||
\(125\) | −3.00000 | −0.268328 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −4.00000 | −0.354943 | −0.177471 | − | 0.984126i | \(-0.556792\pi\) | ||||
−0.177471 | + | 0.984126i | \(0.556792\pi\) | |||||||
\(128\) | 0.500000 | − | 0.866025i | 0.0441942 | − | 0.0765466i | ||||
\(129\) | − | 1.73205i | − | 0.152499i | ||||||
\(130\) | −1.50000 | − | 2.59808i | −0.131559 | − | 0.227866i | ||||
\(131\) | −7.50000 | − | 12.9904i | −0.655278 | − | 1.13497i | −0.981824 | − | 0.189794i | \(-0.939218\pi\) |
0.326546 | − | 0.945181i | \(-0.394115\pi\) | |||||||
\(132\) | −4.50000 | + | 2.59808i | −0.391675 | + | 0.226134i | ||||
\(133\) | 0 | 0 | ||||||||
\(134\) | 4.00000 | 0.345547 | ||||||||
\(135\) | −13.5000 | + | 7.79423i | −1.16190 | + | 0.670820i | ||||
\(136\) | −3.00000 | −0.257248 | ||||||||
\(137\) | 4.50000 | − | 7.79423i | 0.384461 | − | 0.665906i | −0.607233 | − | 0.794524i | \(-0.707721\pi\) |
0.991694 | + | 0.128618i | \(0.0410540\pi\) | |||||||
\(138\) | 13.5000 | − | 7.79423i | 1.14920 | − | 0.663489i | ||||
\(139\) | 3.50000 | + | 6.06218i | 0.296866 | + | 0.514187i | 0.975417 | − | 0.220366i | \(-0.0707252\pi\) |
−0.678551 | + | 0.734553i | \(0.737392\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 6.00000 | − | 10.3923i | 0.503509 | − | 0.872103i | ||||
\(143\) | 3.00000 | 0.250873 | ||||||||
\(144\) | 1.50000 | + | 2.59808i | 0.125000 | + | 0.216506i | ||||
\(145\) | 9.00000 | 0.747409 | ||||||||
\(146\) | 5.50000 | − | 9.52628i | 0.455183 | − | 0.788400i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 0.500000 | + | 0.866025i | 0.0410997 | + | 0.0711868i | ||||
\(149\) | 4.50000 | + | 7.79423i | 0.368654 | + | 0.638528i | 0.989355 | − | 0.145519i | \(-0.0464853\pi\) |
−0.620701 | + | 0.784047i | \(0.713152\pi\) | |||||||
\(150\) | 6.00000 | + | 3.46410i | 0.489898 | + | 0.282843i | ||||
\(151\) | 3.50000 | − | 6.06218i | 0.284826 | − | 0.493333i | −0.687741 | − | 0.725956i | \(-0.741398\pi\) |
0.972567 | + | 0.232623i | \(0.0747309\pi\) | |||||||
\(152\) | 7.00000 | 0.567775 | ||||||||
\(153\) | 4.50000 | − | 7.79423i | 0.363803 | − | 0.630126i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −12.0000 | + | 20.7846i | −0.963863 | + | 1.66946i | ||||
\(156\) | − | 1.73205i | − | 0.138675i | ||||||
\(157\) | 11.0000 | + | 19.0526i | 0.877896 | + | 1.52056i | 0.853646 | + | 0.520854i | \(0.174386\pi\) |
0.0242497 | + | 0.999706i | \(0.492280\pi\) | |||||||
\(158\) | −8.00000 | − | 13.8564i | −0.636446 | − | 1.10236i | ||||
\(159\) | 4.50000 | − | 2.59808i | 0.356873 | − | 0.206041i | ||||
\(160\) | 1.50000 | − | 2.59808i | 0.118585 | − | 0.205396i | ||||
\(161\) | 0 | 0 | ||||||||
\(162\) | −9.00000 | −0.707107 | ||||||||
\(163\) | −19.0000 | −1.48819 | −0.744097 | − | 0.668071i | \(-0.767120\pi\) | ||||
−0.744097 | + | 0.668071i | \(0.767120\pi\) | |||||||
\(164\) | −1.50000 | + | 2.59808i | −0.117130 | + | 0.202876i | ||||
\(165\) | −13.5000 | + | 7.79423i | −1.05097 | + | 0.606780i | ||||
\(166\) | −4.50000 | − | 7.79423i | −0.349268 | − | 0.604949i | ||||
\(167\) | 7.50000 | + | 12.9904i | 0.580367 | + | 1.00523i | 0.995436 | + | 0.0954356i | \(0.0304244\pi\) |
−0.415068 | + | 0.909790i | \(0.636242\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 6.00000 | − | 10.3923i | 0.461538 | − | 0.799408i | ||||
\(170\) | −9.00000 | −0.690268 | ||||||||
\(171\) | −10.5000 | + | 18.1865i | −0.802955 | + | 1.39076i | ||||
\(172\) | −1.00000 | −0.0762493 | ||||||||
\(173\) | 3.00000 | − | 5.19615i | 0.228086 | − | 0.395056i | −0.729155 | − | 0.684349i | \(-0.760087\pi\) |
0.957241 | + | 0.289292i | \(0.0934200\pi\) | |||||||
\(174\) | 4.50000 | + | 2.59808i | 0.341144 | + | 0.196960i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 1.50000 | + | 2.59808i | 0.113067 | + | 0.195837i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 1.50000 | − | 2.59808i | 0.112430 | − | 0.194734i | ||||
\(179\) | −21.0000 | −1.56961 | −0.784807 | − | 0.619740i | \(-0.787238\pi\) | ||||
−0.784807 | + | 0.619740i | \(0.787238\pi\) | |||||||
\(180\) | 4.50000 | + | 7.79423i | 0.335410 | + | 0.580948i | ||||
\(181\) | 2.00000 | 0.148659 | 0.0743294 | − | 0.997234i | \(-0.476318\pi\) | ||||
0.0743294 | + | 0.997234i | \(0.476318\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 3.46410i | 0.256074i | ||||||||
\(184\) | −4.50000 | − | 7.79423i | −0.331744 | − | 0.574598i | ||||
\(185\) | 1.50000 | + | 2.59808i | 0.110282 | + | 0.191014i | ||||
\(186\) | −12.0000 | + | 6.92820i | −0.879883 | + | 0.508001i | ||||
\(187\) | 4.50000 | − | 7.79423i | 0.329073 | − | 0.569970i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 21.0000 | 1.52350 | ||||||||
\(191\) | 0 | 0 | −0.866025 | − | 0.500000i | \(-0.833333\pi\) | ||||
0.866025 | + | 0.500000i | \(0.166667\pi\) | |||||||
\(192\) | 1.50000 | − | 0.866025i | 0.108253 | − | 0.0625000i | ||||
\(193\) | −7.00000 | − | 12.1244i | −0.503871 | − | 0.872730i | −0.999990 | − | 0.00447566i | \(-0.998575\pi\) |
0.496119 | − | 0.868255i | \(-0.334758\pi\) | |||||||
\(194\) | −0.500000 | − | 0.866025i | −0.0358979 | − | 0.0621770i | ||||
\(195\) | − | 5.19615i | − | 0.372104i | ||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 18.0000 | 1.28245 | 0.641223 | − | 0.767354i | \(-0.278427\pi\) | ||||
0.641223 | + | 0.767354i | \(0.278427\pi\) | |||||||
\(198\) | −9.00000 | −0.639602 | ||||||||
\(199\) | −25.0000 | −1.77220 | −0.886102 | − | 0.463491i | \(-0.846597\pi\) | ||||
−0.886102 | + | 0.463491i | \(0.846597\pi\) | |||||||
\(200\) | 2.00000 | − | 3.46410i | 0.141421 | − | 0.244949i | ||||
\(201\) | 6.00000 | + | 3.46410i | 0.423207 | + | 0.244339i | ||||
\(202\) | 1.50000 | + | 2.59808i | 0.105540 | + | 0.182800i | ||||
\(203\) | 0 | 0 | ||||||||
\(204\) | −4.50000 | − | 2.59808i | −0.315063 | − | 0.181902i | ||||
\(205\) | −4.50000 | + | 7.79423i | −0.314294 | + | 0.544373i | ||||
\(206\) | 13.0000 | 0.905753 | ||||||||
\(207\) | 27.0000 | 1.87663 | ||||||||
\(208\) | −1.00000 | −0.0693375 | ||||||||
\(209\) | −10.5000 | + | 18.1865i | −0.726300 | + | 1.25799i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −2.50000 | − | 4.33013i | −0.172107 | − | 0.298098i | 0.767049 | − | 0.641588i | \(-0.221724\pi\) |
−0.939156 | + | 0.343490i | \(0.888391\pi\) | |||||||
\(212\) | −1.50000 | − | 2.59808i | −0.103020 | − | 0.178437i | ||||
\(213\) | 18.0000 | − | 10.3923i | 1.23334 | − | 0.712069i | ||||
\(214\) | 4.50000 | − | 7.79423i | 0.307614 | − | 0.532803i | ||||
\(215\) | −3.00000 | −0.204598 | ||||||||
\(216\) | 5.19615i | 0.353553i | ||||||||
\(217\) | 0 | 0 | ||||||||
\(218\) | −6.50000 | + | 11.2583i | −0.440236 | + | 0.762510i | ||||
\(219\) | 16.5000 | − | 9.52628i | 1.11497 | − | 0.643726i | ||||
\(220\) | 4.50000 | + | 7.79423i | 0.303390 | + | 0.525487i | ||||
\(221\) | 1.50000 | + | 2.59808i | 0.100901 | + | 0.174766i | ||||
\(222\) | 1.73205i | 0.116248i | ||||||||
\(223\) | 0.500000 | − | 0.866025i | 0.0334825 | − | 0.0579934i | −0.848799 | − | 0.528716i | \(-0.822674\pi\) |
0.882281 | + | 0.470723i | \(0.156007\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 6.00000 | + | 10.3923i | 0.400000 | + | 0.692820i | ||||
\(226\) | 9.00000 | 0.598671 | ||||||||
\(227\) | 1.50000 | − | 2.59808i | 0.0995585 | − | 0.172440i | −0.811943 | − | 0.583736i | \(-0.801590\pi\) |
0.911502 | + | 0.411296i | \(0.134924\pi\) | |||||||
\(228\) | 10.5000 | + | 6.06218i | 0.695379 | + | 0.401478i | ||||
\(229\) | 6.50000 | + | 11.2583i | 0.429532 | + | 0.743971i | 0.996832 | − | 0.0795401i | \(-0.0253452\pi\) |
−0.567300 | + | 0.823511i | \(0.692012\pi\) | |||||||
\(230\) | −13.5000 | − | 23.3827i | −0.890164 | − | 1.54181i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 1.50000 | − | 2.59808i | 0.0984798 | − | 0.170572i | ||||
\(233\) | 3.00000 | 0.196537 | 0.0982683 | − | 0.995160i | \(-0.468670\pi\) | ||||
0.0982683 | + | 0.995160i | \(0.468670\pi\) | |||||||
\(234\) | 1.50000 | − | 2.59808i | 0.0980581 | − | 0.169842i | ||||
\(235\) | 0 | 0 | ||||||||
\(236\) | 0 | 0 | ||||||||
\(237\) | − | 27.7128i | − | 1.80014i | ||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 1.50000 | + | 2.59808i | 0.0970269 | + | 0.168056i | 0.910453 | − | 0.413613i | \(-0.135733\pi\) |
−0.813426 | + | 0.581669i | \(0.802400\pi\) | |||||||
\(240\) | 4.50000 | − | 2.59808i | 0.290474 | − | 0.167705i | ||||
\(241\) | 6.50000 | − | 11.2583i | 0.418702 | − | 0.725213i | −0.577107 | − | 0.816668i | \(-0.695819\pi\) |
0.995809 | + | 0.0914555i | \(0.0291519\pi\) | |||||||
\(242\) | 2.00000 | 0.128565 | ||||||||
\(243\) | −13.5000 | − | 7.79423i | −0.866025 | − | 0.500000i | ||||
\(244\) | 2.00000 | 0.128037 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | −4.50000 | + | 2.59808i | −0.286910 | + | 0.165647i | ||||
\(247\) | −3.50000 | − | 6.06218i | −0.222700 | − | 0.385727i | ||||
\(248\) | 4.00000 | + | 6.92820i | 0.254000 | + | 0.439941i | ||||
\(249\) | − | 15.5885i | − | 0.987878i | ||||||
\(250\) | −1.50000 | + | 2.59808i | −0.0948683 | + | 0.164317i | ||||
\(251\) | 12.0000 | 0.757433 | 0.378717 | − | 0.925513i | \(-0.376365\pi\) | ||||
0.378717 | + | 0.925513i | \(0.376365\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 27.0000 | 1.69748 | ||||||||
\(254\) | −2.00000 | + | 3.46410i | −0.125491 | + | 0.217357i | ||||
\(255\) | −13.5000 | − | 7.79423i | −0.845403 | − | 0.488094i | ||||
\(256\) | −0.500000 | − | 0.866025i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | 10.5000 | + | 18.1865i | 0.654972 | + | 1.13444i | 0.981901 | + | 0.189396i | \(0.0606529\pi\) |
−0.326929 | + | 0.945049i | \(0.606014\pi\) | |||||||
\(258\) | −1.50000 | − | 0.866025i | −0.0933859 | − | 0.0539164i | ||||
\(259\) | 0 | 0 | ||||||||
\(260\) | −3.00000 | −0.186052 | ||||||||
\(261\) | 4.50000 | + | 7.79423i | 0.278543 | + | 0.482451i | ||||
\(262\) | −15.0000 | −0.926703 | ||||||||
\(263\) | −4.50000 | + | 7.79423i | −0.277482 | + | 0.480613i | −0.970758 | − | 0.240059i | \(-0.922833\pi\) |
0.693276 | + | 0.720672i | \(0.256167\pi\) | |||||||
\(264\) | 5.19615i | 0.319801i | ||||||||
\(265\) | −4.50000 | − | 7.79423i | −0.276433 | − | 0.478796i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 4.50000 | − | 2.59808i | 0.275396 | − | 0.159000i | ||||
\(268\) | 2.00000 | − | 3.46410i | 0.122169 | − | 0.211604i | ||||
\(269\) | 15.0000 | 0.914566 | 0.457283 | − | 0.889321i | \(-0.348823\pi\) | ||||
0.457283 | + | 0.889321i | \(0.348823\pi\) | |||||||
\(270\) | 15.5885i | 0.948683i | ||||||||
\(271\) | 5.00000 | 0.303728 | 0.151864 | − | 0.988401i | \(-0.451472\pi\) | ||||
0.151864 | + | 0.988401i | \(0.451472\pi\) | |||||||
\(272\) | −1.50000 | + | 2.59808i | −0.0909509 | + | 0.157532i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −4.50000 | − | 7.79423i | −0.271855 | − | 0.470867i | ||||
\(275\) | 6.00000 | + | 10.3923i | 0.361814 | + | 0.626680i | ||||
\(276\) | − | 15.5885i | − | 0.938315i | ||||||
\(277\) | 0.500000 | − | 0.866025i | 0.0300421 | − | 0.0520344i | −0.850613 | − | 0.525792i | \(-0.823769\pi\) |
0.880656 | + | 0.473757i | \(0.157103\pi\) | |||||||
\(278\) | 7.00000 | 0.419832 | ||||||||
\(279\) | −24.0000 | −1.43684 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 10.5000 | − | 18.1865i | 0.626377 | − | 1.08492i | −0.361895 | − | 0.932219i | \(-0.617870\pi\) |
0.988273 | − | 0.152699i | \(-0.0487965\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 2.00000 | + | 3.46410i | 0.118888 | + | 0.205919i | 0.919327 | − | 0.393494i | \(-0.128734\pi\) |
−0.800439 | + | 0.599414i | \(0.795400\pi\) | |||||||
\(284\) | −6.00000 | − | 10.3923i | −0.356034 | − | 0.616670i | ||||
\(285\) | 31.5000 | + | 18.1865i | 1.86590 | + | 1.07728i | ||||
\(286\) | 1.50000 | − | 2.59808i | 0.0886969 | − | 0.153627i | ||||
\(287\) | 0 | 0 | ||||||||
\(288\) | 3.00000 | 0.176777 | ||||||||
\(289\) | −8.00000 | −0.470588 | ||||||||
\(290\) | 4.50000 | − | 7.79423i | 0.264249 | − | 0.457693i | ||||
\(291\) | − | 1.73205i | − | 0.101535i | ||||||
\(292\) | −5.50000 | − | 9.52628i | −0.321863 | − | 0.557483i | ||||
\(293\) | 4.50000 | + | 7.79423i | 0.262893 | + | 0.455344i | 0.967009 | − | 0.254741i | \(-0.0819901\pi\) |
−0.704117 | + | 0.710084i | \(0.748657\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 0 | 0 | ||||||||
\(296\) | 1.00000 | 0.0581238 | ||||||||
\(297\) | −13.5000 | − | 7.79423i | −0.783349 | − | 0.452267i | ||||
\(298\) | 9.00000 | 0.521356 | ||||||||
\(299\) | −4.50000 | + | 7.79423i | −0.260242 | + | 0.450752i | ||||
\(300\) | 6.00000 | − | 3.46410i | 0.346410 | − | 0.200000i | ||||
\(301\) | 0 | 0 | ||||||||
\(302\) | −3.50000 | − | 6.06218i | −0.201402 | − | 0.348839i | ||||
\(303\) | 5.19615i | 0.298511i | ||||||||
\(304\) | 3.50000 | − | 6.06218i | 0.200739 | − | 0.347690i | ||||
\(305\) | 6.00000 | 0.343559 | ||||||||
\(306\) | −4.50000 | − | 7.79423i | −0.257248 | − | 0.445566i | ||||
\(307\) | −28.0000 | −1.59804 | −0.799022 | − | 0.601302i | \(-0.794649\pi\) | ||||
−0.799022 | + | 0.601302i | \(0.794649\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 19.5000 | + | 11.2583i | 1.10932 | + | 0.640464i | ||||
\(310\) | 12.0000 | + | 20.7846i | 0.681554 | + | 1.18049i | ||||
\(311\) | 12.0000 | + | 20.7846i | 0.680458 | + | 1.17859i | 0.974841 | + | 0.222900i | \(0.0715523\pi\) |
−0.294384 | + | 0.955687i | \(0.595114\pi\) | |||||||
\(312\) | −1.50000 | − | 0.866025i | −0.0849208 | − | 0.0490290i | ||||
\(313\) | 5.00000 | − | 8.66025i | 0.282617 | − | 0.489506i | −0.689412 | − | 0.724370i | \(-0.742131\pi\) |
0.972028 | + | 0.234863i | \(0.0754642\pi\) | |||||||
\(314\) | 22.0000 | 1.24153 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −16.0000 | −0.900070 | ||||||||
\(317\) | −9.00000 | + | 15.5885i | −0.505490 | + | 0.875535i | 0.494489 | + | 0.869184i | \(0.335355\pi\) |
−0.999980 | + | 0.00635137i | \(0.997978\pi\) | |||||||
\(318\) | − | 5.19615i | − | 0.291386i | ||||||
\(319\) | 4.50000 | + | 7.79423i | 0.251952 | + | 0.436393i | ||||
\(320\) | −1.50000 | − | 2.59808i | −0.0838525 | − | 0.145237i | ||||
\(321\) | 13.5000 | − | 7.79423i | 0.753497 | − | 0.435031i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −21.0000 | −1.16847 | ||||||||
\(324\) | −4.50000 | + | 7.79423i | −0.250000 | + | 0.433013i | ||||
\(325\) | −4.00000 | −0.221880 | ||||||||
\(326\) | −9.50000 | + | 16.4545i | −0.526156 | + | 0.911330i | ||||
\(327\) | −19.5000 | + | 11.2583i | −1.07835 | + | 0.622587i | ||||
\(328\) | 1.50000 | + | 2.59808i | 0.0828236 | + | 0.143455i | ||||
\(329\) | 0 | 0 | ||||||||
\(330\) | 15.5885i | 0.858116i | ||||||||
\(331\) | −4.00000 | + | 6.92820i | −0.219860 | + | 0.380808i | −0.954765 | − | 0.297361i | \(-0.903893\pi\) |
0.734905 | + | 0.678170i | \(0.237227\pi\) | |||||||
\(332\) | −9.00000 | −0.493939 | ||||||||
\(333\) | −1.50000 | + | 2.59808i | −0.0821995 | + | 0.142374i | ||||
\(334\) | 15.0000 | 0.820763 | ||||||||
\(335\) | 6.00000 | − | 10.3923i | 0.327815 | − | 0.567792i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 6.50000 | + | 11.2583i | 0.354078 | + | 0.613280i | 0.986960 | − | 0.160968i | \(-0.0514616\pi\) |
−0.632882 | + | 0.774248i | \(0.718128\pi\) | |||||||
\(338\) | −6.00000 | − | 10.3923i | −0.326357 | − | 0.565267i | ||||
\(339\) | 13.5000 | + | 7.79423i | 0.733219 | + | 0.423324i | ||||
\(340\) | −4.50000 | + | 7.79423i | −0.244047 | + | 0.422701i | ||||
\(341\) | −24.0000 | −1.29967 | ||||||||
\(342\) | 10.5000 | + | 18.1865i | 0.567775 | + | 0.983415i | ||||
\(343\) | 0 | 0 | ||||||||
\(344\) | −0.500000 | + | 0.866025i | −0.0269582 | + | 0.0466930i | ||||
\(345\) | − | 46.7654i | − | 2.51776i | ||||||
\(346\) | −3.00000 | − | 5.19615i | −0.161281 | − | 0.279347i | ||||
\(347\) | −6.00000 | − | 10.3923i | −0.322097 | − | 0.557888i | 0.658824 | − | 0.752297i | \(-0.271054\pi\) |
−0.980921 | + | 0.194409i | \(0.937721\pi\) | |||||||
\(348\) | 4.50000 | − | 2.59808i | 0.241225 | − | 0.139272i | ||||
\(349\) | −11.5000 | + | 19.9186i | −0.615581 | + | 1.06622i | 0.374701 | + | 0.927146i | \(0.377745\pi\) |
−0.990282 | + | 0.139072i | \(0.955588\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 4.50000 | − | 2.59808i | 0.240192 | − | 0.138675i | ||||
\(352\) | 3.00000 | 0.159901 | ||||||||
\(353\) | −1.50000 | + | 2.59808i | −0.0798369 | + | 0.138282i | −0.903179 | − | 0.429263i | \(-0.858773\pi\) |
0.823343 | + | 0.567545i | \(0.192107\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −18.0000 | − | 31.1769i | −0.955341 | − | 1.65470i | ||||
\(356\) | −1.50000 | − | 2.59808i | −0.0794998 | − | 0.137698i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −10.5000 | + | 18.1865i | −0.554942 | + | 0.961188i | ||||
\(359\) | 9.00000 | 0.475002 | 0.237501 | − | 0.971387i | \(-0.423672\pi\) | ||||
0.237501 | + | 0.971387i | \(0.423672\pi\) | |||||||
\(360\) | 9.00000 | 0.474342 | ||||||||
\(361\) | 30.0000 | 1.57895 | ||||||||
\(362\) | 1.00000 | − | 1.73205i | 0.0525588 | − | 0.0910346i | ||||
\(363\) | 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 | ||||
\(367\) | −8.50000 | + | 14.7224i | −0.443696 | + | 0.768505i | −0.997960 | − | 0.0638362i | \(-0.979666\pi\) |
0.554264 | + | 0.832341i | \(0.313000\pi\) | |||||||
\(368\) | −9.00000 | −0.469157 | ||||||||
\(369\) | −9.00000 | −0.468521 | ||||||||
\(370\) | 3.00000 | 0.155963 | ||||||||
\(371\) | 0 | 0 | ||||||||
\(372\) | 13.8564i | 0.718421i | ||||||||
\(373\) | 6.50000 | + | 11.2583i | 0.336557 | + | 0.582934i | 0.983783 | − | 0.179364i | \(-0.0574041\pi\) |
−0.647225 | + | 0.762299i | \(0.724071\pi\) | |||||||
\(374\) | −4.50000 | − | 7.79423i | −0.232689 | − | 0.403030i | ||||
\(375\) | −4.50000 | + | 2.59808i | −0.232379 | + | 0.134164i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −3.00000 | −0.154508 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −28.0000 | −1.43826 | −0.719132 | − | 0.694874i | \(-0.755460\pi\) | ||||
−0.719132 | + | 0.694874i | \(0.755460\pi\) | |||||||
\(380\) | 10.5000 | − | 18.1865i | 0.538639 | − | 0.932949i | ||||
\(381\) | −6.00000 | + | 3.46410i | −0.307389 | + | 0.177471i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −7.50000 | − | 12.9904i | −0.383232 | − | 0.663777i | 0.608290 | − | 0.793715i | \(-0.291856\pi\) |
−0.991522 | + | 0.129937i | \(0.958522\pi\) | |||||||
\(384\) | − | 1.73205i | − | 0.0883883i | ||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | −14.0000 | −0.712581 | ||||||||
\(387\) | −1.50000 | − | 2.59808i | −0.0762493 | − | 0.132068i | ||||
\(388\) | −1.00000 | −0.0507673 | ||||||||
\(389\) | −13.5000 | + | 23.3827i | −0.684477 | + | 1.18555i | 0.289124 | + | 0.957292i | \(0.406636\pi\) |
−0.973601 | + | 0.228257i | \(0.926697\pi\) | |||||||
\(390\) | −4.50000 | − | 2.59808i | −0.227866 | − | 0.131559i | ||||
\(391\) | 13.5000 | + | 23.3827i | 0.682724 | + | 1.18251i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −22.5000 | − | 12.9904i | −1.13497 | − | 0.655278i | ||||
\(394\) | 9.00000 | − | 15.5885i | 0.453413 | − | 0.785335i | ||||
\(395\) | −48.0000 | −2.41514 | ||||||||
\(396\) | −4.50000 | + | 7.79423i | −0.226134 | + | 0.391675i | ||||
\(397\) | −13.0000 | −0.652451 | −0.326226 | − | 0.945292i | \(-0.605777\pi\) | ||||
−0.326226 | + | 0.945292i | \(0.605777\pi\) | |||||||
\(398\) | −12.5000 | + | 21.6506i | −0.626568 | + | 1.08525i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −2.00000 | − | 3.46410i | −0.100000 | − | 0.173205i | ||||
\(401\) | −13.5000 | − | 23.3827i | −0.674158 | − | 1.16768i | −0.976714 | − | 0.214544i | \(-0.931173\pi\) |
0.302556 | − | 0.953131i | \(-0.402160\pi\) | |||||||
\(402\) | 6.00000 | − | 3.46410i | 0.299253 | − | 0.172774i | ||||
\(403\) | 4.00000 | − | 6.92820i | 0.199254 | − | 0.345118i | ||||
\(404\) | 3.00000 | 0.149256 | ||||||||
\(405\) | −13.5000 | + | 23.3827i | −0.670820 | + | 1.16190i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −1.50000 | + | 2.59808i | −0.0743522 | + | 0.128782i | ||||
\(408\) | −4.50000 | + | 2.59808i | −0.222783 | + | 0.128624i | ||||
\(409\) | 17.0000 | + | 29.4449i | 0.840596 | + | 1.45595i | 0.889392 | + | 0.457146i | \(0.151128\pi\) |
−0.0487958 | + | 0.998809i | \(0.515538\pi\) | |||||||
\(410\) | 4.50000 | + | 7.79423i | 0.222239 | + | 0.384930i | ||||
\(411\) | − | 15.5885i | − | 0.768922i | ||||||
\(412\) | 6.50000 | − | 11.2583i | 0.320232 | − | 0.554658i | ||||
\(413\) | 0 | 0 | ||||||||
\(414\) | 13.5000 | − | 23.3827i | 0.663489 | − | 1.14920i | ||||
\(415\) | −27.0000 | −1.32538 | ||||||||
\(416\) | −0.500000 | + | 0.866025i | −0.0245145 | + | 0.0424604i | ||||
\(417\) | 10.5000 | + | 6.06218i | 0.514187 | + | 0.296866i | ||||
\(418\) | 10.5000 | + | 18.1865i | 0.513572 | + | 0.889532i | ||||
\(419\) | −4.50000 | − | 7.79423i | −0.219839 | − | 0.380773i | 0.734919 | − | 0.678155i | \(-0.237220\pi\) |
−0.954759 | + | 0.297382i | \(0.903887\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −17.5000 | + | 30.3109i | −0.852898 | + | 1.47726i | 0.0256838 | + | 0.999670i | \(0.491824\pi\) |
−0.878582 | + | 0.477592i | \(0.841510\pi\) | |||||||
\(422\) | −5.00000 | −0.243396 | ||||||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −3.00000 | −0.145693 | ||||||||
\(425\) | −6.00000 | + | 10.3923i | −0.291043 | + | 0.504101i | ||||
\(426\) | − | 20.7846i | − | 1.00702i | ||||||
\(427\) | 0 | 0 | ||||||||
\(428\) | −4.50000 | − | 7.79423i | −0.217516 | − | 0.376748i | ||||
\(429\) | 4.50000 | − | 2.59808i | 0.217262 | − | 0.125436i | ||||
\(430\) | −1.50000 | + | 2.59808i | −0.0723364 | + | 0.125290i | ||||
\(431\) | 27.0000 | 1.30054 | 0.650272 | − | 0.759701i | \(-0.274655\pi\) | ||||
0.650272 | + | 0.759701i | \(0.274655\pi\) | |||||||
\(432\) | 4.50000 | + | 2.59808i | 0.216506 | + | 0.125000i | ||||
\(433\) | 2.00000 | 0.0961139 | 0.0480569 | − | 0.998845i | \(-0.484697\pi\) | ||||
0.0480569 | + | 0.998845i | \(0.484697\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 13.5000 | − | 7.79423i | 0.647275 | − | 0.373705i | ||||
\(436\) | 6.50000 | + | 11.2583i | 0.311294 | + | 0.539176i | ||||
\(437\) | −31.5000 | − | 54.5596i | −1.50685 | − | 2.60994i | ||||
\(438\) | − | 19.0526i | − | 0.910366i | ||||||
\(439\) | −4.00000 | + | 6.92820i | −0.190910 | + | 0.330665i | −0.945552 | − | 0.325471i | \(-0.894477\pi\) |
0.754642 | + | 0.656136i | \(0.227810\pi\) | |||||||
\(440\) | 9.00000 | 0.429058 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 3.00000 | 0.142695 | ||||||||
\(443\) | −18.0000 | + | 31.1769i | −0.855206 | + | 1.48126i | 0.0212481 | + | 0.999774i | \(0.493236\pi\) |
−0.876454 | + | 0.481486i | \(0.840097\pi\) | |||||||
\(444\) | 1.50000 | + | 0.866025i | 0.0711868 | + | 0.0410997i | ||||
\(445\) | −4.50000 | − | 7.79423i | −0.213320 | − | 0.369482i | ||||
\(446\) | −0.500000 | − | 0.866025i | −0.0236757 | − | 0.0410075i | ||||
\(447\) | 13.5000 | + | 7.79423i | 0.638528 | + | 0.368654i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 6.00000 | 0.283158 | 0.141579 | − | 0.989927i | \(-0.454782\pi\) | ||||
0.141579 | + | 0.989927i | \(0.454782\pi\) | |||||||
\(450\) | 12.0000 | 0.565685 | ||||||||
\(451\) | −9.00000 | −0.423793 | ||||||||
\(452\) | 4.50000 | − | 7.79423i | 0.211662 | − | 0.366610i | ||||
\(453\) | − | 12.1244i | − | 0.569652i | ||||||
\(454\) | −1.50000 | − | 2.59808i | −0.0703985 | − | 0.121934i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 10.5000 | − | 6.06218i | 0.491708 | − | 0.283887i | ||||
\(457\) | 5.00000 | − | 8.66025i | 0.233890 | − | 0.405110i | −0.725059 | − | 0.688686i | \(-0.758188\pi\) |
0.958950 | + | 0.283577i | \(0.0915211\pi\) | |||||||
\(458\) | 13.0000 | 0.607450 | ||||||||
\(459\) | − | 15.5885i | − | 0.727607i | ||||||
\(460\) | −27.0000 | −1.25888 | ||||||||
\(461\) | 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 | ||||||||
\(463\) | −20.5000 | − | 35.5070i | −0.952716 | − | 1.65015i | −0.739511 | − | 0.673145i | \(-0.764943\pi\) |
−0.213205 | − | 0.977007i | \(-0.568390\pi\) | |||||||
\(464\) | −1.50000 | − | 2.59808i | −0.0696358 | − | 0.120613i | ||||
\(465\) | 41.5692i | 1.92773i | ||||||||
\(466\) | 1.50000 | − | 2.59808i | 0.0694862 | − | 0.120354i | ||||
\(467\) | −3.00000 | −0.138823 | −0.0694117 | − | 0.997588i | \(-0.522112\pi\) | ||||
−0.0694117 | + | 0.997588i | \(0.522112\pi\) | |||||||
\(468\) | −1.50000 | − | 2.59808i | −0.0693375 | − | 0.120096i | ||||
\(469\) | 0 | 0 | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 33.0000 | + | 19.0526i | 1.52056 | + | 0.877896i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −1.50000 | − | 2.59808i | −0.0689701 | − | 0.119460i | ||||
\(474\) | −24.0000 | − | 13.8564i | −1.10236 | − | 0.636446i | ||||
\(475\) | 14.0000 | − | 24.2487i | 0.642364 | − | 1.11261i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 4.50000 | − | 7.79423i | 0.206041 | − | 0.356873i | ||||
\(478\) | 3.00000 | 0.137217 | ||||||||
\(479\) | 1.50000 | − | 2.59808i | 0.0685367 | − | 0.118709i | −0.829721 | − | 0.558179i | \(-0.811500\pi\) |
0.898257 | + | 0.439470i | \(0.144834\pi\) | |||||||
\(480\) | − | 5.19615i | − | 0.237171i | ||||||
\(481\) | −0.500000 | − | 0.866025i | −0.0227980 | − | 0.0394874i | ||||
\(482\) | −6.50000 | − | 11.2583i | −0.296067 | − | 0.512803i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 1.00000 | − | 1.73205i | 0.0454545 | − | 0.0787296i | ||||
\(485\) | −3.00000 | −0.136223 | ||||||||
\(486\) | −13.5000 | + | 7.79423i | −0.612372 | + | 0.353553i | ||||
\(487\) | −25.0000 | −1.13286 | −0.566429 | − | 0.824110i | \(-0.691675\pi\) | ||||
−0.566429 | + | 0.824110i | \(0.691675\pi\) | |||||||
\(488\) | 1.00000 | − | 1.73205i | 0.0452679 | − | 0.0784063i | ||||
\(489\) | −28.5000 | + | 16.4545i | −1.28881 | + | 0.744097i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −10.5000 | − | 18.1865i | −0.473858 | − | 0.820747i | 0.525694 | − | 0.850674i | \(-0.323806\pi\) |
−0.999552 | + | 0.0299272i | \(0.990472\pi\) | |||||||
\(492\) | 5.19615i | 0.234261i | ||||||||
\(493\) | −4.50000 | + | 7.79423i | −0.202670 | + | 0.351034i | ||||
\(494\) | −7.00000 | −0.314945 | ||||||||
\(495\) | −13.5000 | + | 23.3827i | −0.606780 | + | 1.05097i | ||||
\(496\) | 8.00000 | 0.359211 | ||||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | −13.5000 | − | 7.79423i | −0.604949 | − | 0.349268i | ||||
\(499\) | 12.5000 | + | 21.6506i | 0.559577 | + | 0.969216i | 0.997532 | + | 0.0702185i | \(0.0223697\pi\) |
−0.437955 | + | 0.898997i | \(0.644297\pi\) | |||||||
\(500\) | 1.50000 | + | 2.59808i | 0.0670820 | + | 0.116190i | ||||
\(501\) | 22.5000 | + | 12.9904i | 1.00523 | + | 0.580367i | ||||
\(502\) | 6.00000 | − | 10.3923i | 0.267793 | − | 0.463831i | ||||
\(503\) | −24.0000 | −1.07011 | −0.535054 | − | 0.844818i | \(-0.679709\pi\) | ||||
−0.535054 | + | 0.844818i | \(0.679709\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 9.00000 | 0.400495 | ||||||||
\(506\) | 13.5000 | − | 23.3827i | 0.600148 | − | 1.03949i | ||||
\(507\) | − | 20.7846i | − | 0.923077i | ||||||
\(508\) | 2.00000 | + | 3.46410i | 0.0887357 | + | 0.153695i | ||||
\(509\) | 4.50000 | + | 7.79423i | 0.199459 | + | 0.345473i | 0.948353 | − | 0.317217i | \(-0.102748\pi\) |
−0.748894 | + | 0.662690i | \(0.769415\pi\) | |||||||
\(510\) | −13.5000 | + | 7.79423i | −0.597790 | + | 0.345134i | ||||
\(511\) | 0 | 0 | ||||||||
\(512\) | −1.00000 | −0.0441942 | ||||||||
\(513\) | 36.3731i | 1.60591i | ||||||||
\(514\) | 21.0000 | 0.926270 | ||||||||
\(515\) | 19.5000 | − | 33.7750i | 0.859273 | − | 1.48830i | ||||
\(516\) | −1.50000 | + | 0.866025i | −0.0660338 | + | 0.0381246i | ||||
\(517\) | 0 | 0 | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | − | 10.3923i | − | 0.456172i | ||||||
\(520\) | −1.50000 | + | 2.59808i | −0.0657794 | + | 0.113933i | ||||
\(521\) | 3.00000 | 0.131432 | 0.0657162 | − | 0.997838i | \(-0.479067\pi\) | ||||
0.0657162 | + | 0.997838i | \(0.479067\pi\) | |||||||
\(522\) | 9.00000 | 0.393919 | ||||||||
\(523\) | −7.00000 | −0.306089 | −0.153044 | − | 0.988219i | \(-0.548908\pi\) | ||||
−0.153044 | + | 0.988219i | \(0.548908\pi\) | |||||||
\(524\) | −7.50000 | + | 12.9904i | −0.327639 | + | 0.567487i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 4.50000 | + | 7.79423i | 0.196209 | + | 0.339845i | ||||
\(527\) | −12.0000 | − | 20.7846i | −0.522728 | − | 0.905392i | ||||
\(528\) | 4.50000 | + | 2.59808i | 0.195837 | + | 0.113067i | ||||
\(529\) | −29.0000 | + | 50.2295i | −1.26087 | + | 2.18389i | ||||
\(530\) | −9.00000 | −0.390935 | ||||||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 1.50000 | − | 2.59808i | 0.0649722 | − | 0.112535i | ||||
\(534\) | − | 5.19615i | − | 0.224860i | ||||||
\(535\) | −13.5000 | − | 23.3827i | −0.583656 | − | 1.01092i | ||||
\(536\) | −2.00000 | − | 3.46410i | −0.0863868 | − | 0.149626i | ||||
\(537\) | −31.5000 | + | 18.1865i | −1.35933 | + | 0.784807i | ||||
\(538\) | 7.50000 | − | 12.9904i | 0.323348 | − | 0.560055i | ||||
\(539\) | 0 | 0 | ||||||||
\(540\) | 13.5000 | + | 7.79423i | 0.580948 | + | 0.335410i | ||||
\(541\) | 11.0000 | 0.472927 | 0.236463 | − | 0.971640i | \(-0.424012\pi\) | ||||
0.236463 | + | 0.971640i | \(0.424012\pi\) | |||||||
\(542\) | 2.50000 | − | 4.33013i | 0.107384 | − | 0.185995i | ||||
\(543\) | 3.00000 | − | 1.73205i | 0.128742 | − | 0.0743294i | ||||
\(544\) | 1.50000 | + | 2.59808i | 0.0643120 | + | 0.111392i | ||||
\(545\) | 19.5000 | + | 33.7750i | 0.835288 | + | 1.44676i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −5.50000 | + | 9.52628i | −0.235163 | + | 0.407314i | −0.959320 | − | 0.282321i | \(-0.908896\pi\) |
0.724157 | + | 0.689635i | \(0.242229\pi\) | |||||||
\(548\) | −9.00000 | −0.384461 | ||||||||
\(549\) | 3.00000 | + | 5.19615i | 0.128037 | + | 0.221766i | ||||
\(550\) | 12.0000 | 0.511682 | ||||||||
\(551\) | 10.5000 | − | 18.1865i | 0.447315 | − | 0.774772i | ||||
\(552\) | −13.5000 | − | 7.79423i | −0.574598 | − | 0.331744i | ||||
\(553\) | 0 | 0 | ||||||||
\(554\) | −0.500000 | − | 0.866025i | −0.0212430 | − | 0.0367939i | ||||
\(555\) | 4.50000 | + | 2.59808i | 0.191014 | + | 0.110282i | ||||
\(556\) | 3.50000 | − | 6.06218i | 0.148433 | − | 0.257094i | ||||
\(557\) | −9.00000 | −0.381342 | −0.190671 | − | 0.981654i | \(-0.561066\pi\) | ||||
−0.190671 | + | 0.981654i | \(0.561066\pi\) | |||||||
\(558\) | −12.0000 | + | 20.7846i | −0.508001 | + | 0.879883i | ||||
\(559\) | 1.00000 | 0.0422955 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | − | 15.5885i | − | 0.658145i | ||||||
\(562\) | −10.5000 | − | 18.1865i | −0.442916 | − | 0.767153i | ||||
\(563\) | −6.00000 | − | 10.3923i | −0.252870 | − | 0.437983i | 0.711445 | − | 0.702742i | \(-0.248041\pi\) |
−0.964315 | + | 0.264758i | \(0.914708\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 13.5000 | − | 23.3827i | 0.567949 | − | 0.983717i | ||||
\(566\) | 4.00000 | 0.168133 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −12.0000 | −0.503509 | ||||||||
\(569\) | 9.00000 | − | 15.5885i | 0.377300 | − | 0.653502i | −0.613369 | − | 0.789797i | \(-0.710186\pi\) |
0.990668 | + | 0.136295i | \(0.0435194\pi\) | |||||||
\(570\) | 31.5000 | − | 18.1865i | 1.31939 | − | 0.761750i | ||||
\(571\) | −16.0000 | − | 27.7128i | −0.669579 | − | 1.15975i | −0.978022 | − | 0.208502i | \(-0.933141\pi\) |
0.308443 | − | 0.951243i | \(-0.400192\pi\) | |||||||
\(572\) | −1.50000 | − | 2.59808i | −0.0627182 | − | 0.108631i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −36.0000 | −1.50130 | ||||||||
\(576\) | 1.50000 | − | 2.59808i | 0.0625000 | − | 0.108253i | ||||
\(577\) | −25.0000 | −1.04076 | −0.520382 | − | 0.853934i | \(-0.674210\pi\) | ||||
−0.520382 | + | 0.853934i | \(0.674210\pi\) | |||||||
\(578\) | −4.00000 | + | 6.92820i | −0.166378 | + | 0.288175i | ||||
\(579\) | −21.0000 | − | 12.1244i | −0.872730 | − | 0.503871i | ||||
\(580\) | −4.50000 | − | 7.79423i | −0.186852 | − | 0.323638i | ||||
\(581\) | 0 | 0 | ||||||||
\(582\) | −1.50000 | − | 0.866025i | −0.0621770 | − | 0.0358979i | ||||
\(583\) | 4.50000 | − | 7.79423i | 0.186371 | − | 0.322804i | ||||
\(584\) | −11.0000 | −0.455183 | ||||||||
\(585\) | −4.50000 | − | 7.79423i | −0.186052 | − | 0.322252i | ||||
\(586\) | 9.00000 | 0.371787 | ||||||||
\(587\) | −1.50000 | + | 2.59808i | −0.0619116 | + | 0.107234i | −0.895320 | − | 0.445424i | \(-0.853053\pi\) |
0.833408 | + | 0.552658i | \(0.186386\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 28.0000 | + | 48.4974i | 1.15372 | + | 1.99830i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 27.0000 | − | 15.5885i | 1.11063 | − | 0.641223i | ||||
\(592\) | 0.500000 | − | 0.866025i | 0.0205499 | − | 0.0355934i | ||||
\(593\) | 39.0000 | 1.60154 | 0.800769 | − | 0.598973i | \(-0.204424\pi\) | ||||
0.800769 | + | 0.598973i | \(0.204424\pi\) | |||||||
\(594\) | −13.5000 | + | 7.79423i | −0.553912 | + | 0.319801i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 4.50000 | − | 7.79423i | 0.184327 | − | 0.319264i | ||||
\(597\) | −37.5000 | + | 21.6506i | −1.53477 | + | 0.886102i | ||||
\(598\) | 4.50000 | + | 7.79423i | 0.184019 | + | 0.318730i | ||||
\(599\) | 12.0000 | + | 20.7846i | 0.490307 | + | 0.849236i | 0.999938 | − | 0.0111569i | \(-0.00355143\pi\) |
−0.509631 | + | 0.860393i | \(0.670218\pi\) | |||||||
\(600\) | − | 6.92820i | − | 0.282843i | ||||||
\(601\) | 12.5000 | − | 21.6506i | 0.509886 | − | 0.883148i | −0.490049 | − | 0.871695i | \(-0.663021\pi\) |
0.999934 | − | 0.0114528i | \(-0.00364562\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 12.0000 | 0.488678 | ||||||||
\(604\) | −7.00000 | −0.284826 | ||||||||
\(605\) | 3.00000 | − | 5.19615i | 0.121967 | − | 0.211254i | ||||
\(606\) | 4.50000 | + | 2.59808i | 0.182800 | + | 0.105540i | ||||
\(607\) | 6.50000 | + | 11.2583i | 0.263827 | + | 0.456962i | 0.967256 | − | 0.253804i | \(-0.0816819\pi\) |
−0.703429 | + | 0.710766i | \(0.748349\pi\) | |||||||
\(608\) | −3.50000 | − | 6.06218i | −0.141944 | − | 0.245854i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 3.00000 | − | 5.19615i | 0.121466 | − | 0.210386i | ||||
\(611\) | 0 | 0 | ||||||||
\(612\) | −9.00000 | −0.363803 | ||||||||
\(613\) | 23.0000 | 0.928961 | 0.464481 | − | 0.885583i | \(-0.346241\pi\) | ||||
0.464481 | + | 0.885583i | \(0.346241\pi\) | |||||||
\(614\) | −14.0000 | + | 24.2487i | −0.564994 | + | 0.978598i | ||||
\(615\) | 15.5885i | 0.628587i | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 22.5000 | + | 38.9711i | 0.905816 | + | 1.56892i | 0.819818 | + | 0.572624i | \(0.194074\pi\) |
0.0859976 | + | 0.996295i | \(0.472592\pi\) | |||||||
\(618\) | 19.5000 | − | 11.2583i | 0.784405 | − | 0.452876i | ||||
\(619\) | −8.50000 | + | 14.7224i | −0.341644 | + | 0.591744i | −0.984738 | − | 0.174042i | \(-0.944317\pi\) |
0.643094 | + | 0.765787i | \(0.277650\pi\) | |||||||
\(620\) | 24.0000 | 0.963863 | ||||||||
\(621\) | 40.5000 | − | 23.3827i | 1.62521 | − | 0.938315i | ||||
\(622\) | 24.0000 | 0.962312 | ||||||||
\(623\) | 0 | 0 | ||||||||
\(624\) | −1.50000 | + | 0.866025i | −0.0600481 | + | 0.0346688i | ||||
\(625\) | 14.5000 | + | 25.1147i | 0.580000 | + | 1.00459i | ||||
\(626\) | −5.00000 | − | 8.66025i | −0.199840 | − | 0.346133i | ||||
\(627\) | 36.3731i | 1.45260i | ||||||||
\(628\) | 11.0000 | − | 19.0526i | 0.438948 | − | 0.760280i | ||||
\(629\) | −3.00000 | −0.119618 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 8.00000 | 0.318475 | 0.159237 | − | 0.987240i | \(-0.449096\pi\) | ||||
0.159237 | + | 0.987240i | \(0.449096\pi\) | |||||||
\(632\) | −8.00000 | + | 13.8564i | −0.318223 | + | 0.551178i | ||||
\(633\) | −7.50000 | − | 4.33013i | −0.298098 | − | 0.172107i | ||||
\(634\) | 9.00000 | + | 15.5885i | 0.357436 | + | 0.619097i | ||||
\(635\) | 6.00000 | + | 10.3923i | 0.238103 | + | 0.412406i | ||||
\(636\) | −4.50000 | − | 2.59808i | −0.178437 | − | 0.103020i | ||||
\(637\) | 0 | 0 | ||||||||
\(638\) | 9.00000 | 0.356313 | ||||||||
\(639\) | 18.0000 | − | 31.1769i | 0.712069 | − | 1.23334i | ||||
\(640\) | −3.00000 | −0.118585 | ||||||||
\(641\) | 16.5000 | − | 28.5788i | 0.651711 | − | 1.12880i | −0.330997 | − | 0.943632i | \(-0.607385\pi\) |
0.982708 | − | 0.185164i | \(-0.0592817\pi\) | |||||||
\(642\) | − | 15.5885i | − | 0.615227i | ||||||
\(643\) | −14.5000 | − | 25.1147i | −0.571824 | − | 0.990429i | −0.996379 | − | 0.0850262i | \(-0.972903\pi\) |
0.424555 | − | 0.905402i | \(-0.360431\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −4.50000 | + | 2.59808i | −0.177187 | + | 0.102299i | ||||
\(646\) | −10.5000 | + | 18.1865i | −0.413117 | + | 0.715540i | ||||
\(647\) | −21.0000 | −0.825595 | −0.412798 | − | 0.910823i | \(-0.635448\pi\) | ||||
−0.412798 | + | 0.910823i | \(0.635448\pi\) | |||||||
\(648\) | 4.50000 | + | 7.79423i | 0.176777 | + | 0.306186i | ||||
\(649\) | 0 | 0 | ||||||||
\(650\) | −2.00000 | + | 3.46410i | −0.0784465 | + | 0.135873i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 9.50000 | + | 16.4545i | 0.372049 | + | 0.644407i | ||||
\(653\) | −7.50000 | − | 12.9904i | −0.293498 | − | 0.508353i | 0.681137 | − | 0.732156i | \(-0.261486\pi\) |
−0.974634 | + | 0.223803i | \(0.928153\pi\) | |||||||
\(654\) | 22.5167i | 0.880471i | ||||||||
\(655\) | −22.5000 | + | 38.9711i | −0.879148 | + | 1.52273i | ||||
\(656\) | 3.00000 | 0.117130 | ||||||||
\(657\) | 16.5000 | − | 28.5788i | 0.643726 | − | 1.11497i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −1.50000 | + | 2.59808i | −0.0584317 | + | 0.101207i | −0.893762 | − | 0.448542i | \(-0.851943\pi\) |
0.835330 | + | 0.549749i | \(0.185277\pi\) | |||||||
\(660\) | 13.5000 | + | 7.79423i | 0.525487 | + | 0.303390i | ||||
\(661\) | 11.0000 | + | 19.0526i | 0.427850 | + | 0.741059i | 0.996682 | − | 0.0813955i | \(-0.0259377\pi\) |
−0.568831 | + | 0.822454i | \(0.692604\pi\) | |||||||
\(662\) | 4.00000 | + | 6.92820i | 0.155464 | + | 0.269272i | ||||
\(663\) | 4.50000 | + | 2.59808i | 0.174766 | + | 0.100901i | ||||
\(664\) | −4.50000 | + | 7.79423i | −0.174634 | + | 0.302475i | ||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 1.50000 | + | 2.59808i | 0.0581238 | + | 0.100673i | ||||
\(667\) | −27.0000 | −1.04544 | ||||||||
\(668\) | 7.50000 | − | 12.9904i | 0.290184 | − | 0.502613i | ||||
\(669\) | − | 1.73205i | − | 0.0669650i | ||||||
\(670\) | −6.00000 | − | 10.3923i | −0.231800 | − | 0.401490i | ||||
\(671\) | 3.00000 | + | 5.19615i | 0.115814 | + | 0.200595i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −17.5000 | + | 30.3109i | −0.674575 | + | 1.16840i | 0.302017 | + | 0.953302i | \(0.402340\pi\) |
−0.976593 | + | 0.215096i | \(0.930993\pi\) | |||||||
\(674\) | 13.0000 | 0.500741 | ||||||||
\(675\) | 18.0000 | + | 10.3923i | 0.692820 | + | 0.400000i | ||||
\(676\) | −12.0000 | −0.461538 | ||||||||
\(677\) | 15.0000 | − | 25.9808i | 0.576497 | − | 0.998522i | −0.419380 | − | 0.907811i | \(-0.637753\pi\) |
0.995877 | − | 0.0907112i | \(-0.0289140\pi\) | |||||||
\(678\) | 13.5000 | − | 7.79423i | 0.518464 | − | 0.299336i | ||||
\(679\) | 0 | 0 | ||||||||
\(680\) | 4.50000 | + | 7.79423i | 0.172567 | + | 0.298895i | ||||
\(681\) | − | 5.19615i | − | 0.199117i | ||||||
\(682\) | −12.0000 | + | 20.7846i | −0.459504 | + | 0.795884i | ||||
\(683\) | −9.00000 | −0.344375 | −0.172188 | − | 0.985064i | \(-0.555084\pi\) | ||||
−0.172188 | + | 0.985064i | \(0.555084\pi\) | |||||||
\(684\) | 21.0000 | 0.802955 | ||||||||
\(685\) | −27.0000 | −1.03162 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 19.5000 | + | 11.2583i | 0.743971 | + | 0.429532i | ||||
\(688\) | 0.500000 | + | 0.866025i | 0.0190623 | + | 0.0330169i | ||||
\(689\) | 1.50000 | + | 2.59808i | 0.0571454 | + | 0.0989788i | ||||
\(690\) | −40.5000 | − | 23.3827i | −1.54181 | − | 0.890164i | ||||
\(691\) | −22.0000 | + | 38.1051i | −0.836919 | + | 1.44959i | 0.0555386 | + | 0.998457i | \(0.482312\pi\) |
−0.892458 | + | 0.451130i | \(0.851021\pi\) | |||||||
\(692\) | −6.00000 | −0.228086 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −12.0000 | −0.455514 | ||||||||
\(695\) | 10.5000 | − | 18.1865i | 0.398288 | − | 0.689855i | ||||
\(696\) | − | 5.19615i | − | 0.196960i | ||||||
\(697\) | −4.50000 | − | 7.79423i | −0.170450 | − | 0.295227i | ||||
\(698\) | 11.5000 | + | 19.9186i | 0.435281 | + | 0.753930i | ||||
\(699\) | 4.50000 | − | 2.59808i | 0.170206 | − | 0.0982683i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −18.0000 | −0.679851 | −0.339925 | − | 0.940452i | \(-0.610402\pi\) | ||||
−0.339925 | + | 0.940452i | \(0.610402\pi\) | |||||||
\(702\) | − | 5.19615i | − | 0.196116i | ||||||
\(703\) | 7.00000 | 0.264010 | ||||||||
\(704\) | 1.50000 | − | 2.59808i | 0.0565334 | − | 0.0979187i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 1.50000 | + | 2.59808i | 0.0564532 | + | 0.0977799i | ||||
\(707\) | 0 | 0 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −13.0000 | + | 22.5167i | −0.488225 | + | 0.845631i | −0.999908 | − | 0.0135434i | \(-0.995689\pi\) |
0.511683 | + | 0.859174i | \(0.329022\pi\) | |||||||
\(710\) | −36.0000 | −1.35106 | ||||||||
\(711\) | −24.0000 | − | 41.5692i | −0.900070 | − | 1.55897i | ||||
\(712\) | −3.00000 | −0.112430 | ||||||||
\(713\) | 36.0000 | − | 62.3538i | 1.34821 | − | 2.33517i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −4.50000 | − | 7.79423i | −0.168290 | − | 0.291488i | ||||
\(716\) | 10.5000 | + | 18.1865i | 0.392403 | + | 0.679663i | ||||
\(717\) | 4.50000 | + | 2.59808i | 0.168056 | + | 0.0970269i | ||||
\(718\) | 4.50000 | − | 7.79423i | 0.167939 | − | 0.290878i | ||||
\(719\) | −15.0000 | −0.559406 | −0.279703 | − | 0.960087i | \(-0.590236\pi\) | ||||
−0.279703 | + | 0.960087i | \(0.590236\pi\) | |||||||
\(720\) | 4.50000 | − | 7.79423i | 0.167705 | − | 0.290474i | ||||
\(721\) | 0 | 0 | ||||||||
\(722\) | 15.0000 | − | 25.9808i | 0.558242 | − | 0.966904i | ||||
\(723\) | − | 22.5167i | − | 0.837404i | ||||||
\(724\) | −1.00000 | − | 1.73205i | −0.0371647 | − | 0.0643712i | ||||
\(725\) | −6.00000 | − | 10.3923i | −0.222834 | − | 0.385961i | ||||
\(726\) | 3.00000 | − | 1.73205i | 0.111340 | − | 0.0642824i | ||||
\(727\) | 6.50000 | − | 11.2583i | 0.241072 | − | 0.417548i | −0.719948 | − | 0.694028i | \(-0.755834\pi\) |
0.961020 | + | 0.276479i | \(0.0891678\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −27.0000 | −1.00000 | ||||||||
\(730\) | −33.0000 | −1.22138 | ||||||||
\(731\) | 1.50000 | − | 2.59808i | 0.0554795 | − | 0.0960933i | ||||
\(732\) | 3.00000 | − | 1.73205i | 0.110883 | − | 0.0640184i | ||||
\(733\) | 0.500000 | + | 0.866025i | 0.0184679 | + | 0.0319874i | 0.875112 | − | 0.483921i | \(-0.160788\pi\) |
−0.856644 | + | 0.515908i | \(0.827454\pi\) | |||||||
\(734\) | 8.50000 | + | 14.7224i | 0.313741 | + | 0.543415i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −4.50000 | + | 7.79423i | −0.165872 | + | 0.287299i | ||||
\(737\) | 12.0000 | 0.442026 | ||||||||
\(738\) | −4.50000 | + | 7.79423i | −0.165647 | + | 0.286910i | ||||
\(739\) | 23.0000 | 0.846069 | 0.423034 | − | 0.906114i | \(-0.360965\pi\) | ||||
0.423034 | + | 0.906114i | \(0.360965\pi\) | |||||||
\(740\) | 1.50000 | − | 2.59808i | 0.0551411 | − | 0.0955072i | ||||
\(741\) | −10.5000 | − | 6.06218i | −0.385727 | − | 0.222700i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −10.5000 | − | 18.1865i | −0.385208 | − | 0.667199i | 0.606590 | − | 0.795015i | \(-0.292537\pi\) |
−0.991798 | + | 0.127815i | \(0.959204\pi\) | |||||||
\(744\) | 12.0000 | + | 6.92820i | 0.439941 | + | 0.254000i | ||||
\(745\) | 13.5000 | − | 23.3827i | 0.494602 | − | 0.856675i | ||||
\(746\) | 13.0000 | 0.475964 | ||||||||
\(747\) | −13.5000 | − | 23.3827i | −0.493939 | − | 0.855528i | ||||
\(748\) | −9.00000 | −0.329073 | ||||||||
\(749\) | 0 | 0 | ||||||||
\(750\) | 5.19615i | 0.189737i | ||||||||
\(751\) | 6.50000 | + | 11.2583i | 0.237188 | + | 0.410822i | 0.959906 | − | 0.280321i | \(-0.0904408\pi\) |
−0.722718 | + | 0.691143i | \(0.757107\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 18.0000 | − | 10.3923i | 0.655956 | − | 0.378717i | ||||
\(754\) | −1.50000 | + | 2.59808i | −0.0546268 | + | 0.0946164i | ||||
\(755\) | −21.0000 | −0.764268 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −22.0000 | −0.799604 | −0.399802 | − | 0.916602i | \(-0.630921\pi\) | ||||
−0.399802 | + | 0.916602i | \(0.630921\pi\) | |||||||
\(758\) | −14.0000 | + | 24.2487i | −0.508503 | + | 0.880753i | ||||
\(759\) | 40.5000 | − | 23.3827i | 1.47006 | − | 0.848738i | ||||
\(760\) | −10.5000 | − | 18.1865i | −0.380875 | − | 0.659695i | ||||
\(761\) | 22.5000 | + | 38.9711i | 0.815624 | + | 1.41270i | 0.908879 | + | 0.417061i | \(0.136940\pi\) |
−0.0932544 | + | 0.995642i | \(0.529727\pi\) | |||||||
\(762\) | 6.92820i | 0.250982i | ||||||||
\(763\) | 0 | 0 | ||||||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −27.0000 | −0.976187 | ||||||||
\(766\) | −15.0000 | −0.541972 | ||||||||
\(767\) | 0 | 0 | ||||||||
\(768\) | −1.50000 | − | 0.866025i | −0.0541266 | − | 0.0312500i | ||||
\(769\) | −11.5000 | − | 19.9186i | −0.414701 | − | 0.718283i | 0.580696 | − | 0.814120i | \(-0.302780\pi\) |
−0.995397 | + | 0.0958377i | \(0.969447\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 31.5000 | + | 18.1865i | 1.13444 | + | 0.654972i | ||||
\(772\) | −7.00000 | + | 12.1244i | −0.251936 | + | 0.436365i | ||||
\(773\) | 27.0000 | 0.971123 | 0.485561 | − | 0.874203i | \(-0.338615\pi\) | ||||
0.485561 | + | 0.874203i | \(0.338615\pi\) | |||||||
\(774\) | −3.00000 | −0.107833 | ||||||||
\(775\) | 32.0000 | 1.14947 | ||||||||
\(776\) | −0.500000 | + | 0.866025i | −0.0179490 | + | 0.0310885i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 13.5000 | + | 23.3827i | 0.483998 | + | 0.838310i | ||||
\(779\) | 10.5000 | + | 18.1865i | 0.376202 | + | 0.651600i | ||||
\(780\) | −4.50000 | + | 2.59808i | −0.161126 | + | 0.0930261i | ||||
\(781\) | 18.0000 | − | 31.1769i | 0.644091 | − | 1.11560i | ||||
\(782\) | 27.0000 | 0.965518 | ||||||||
\(783\) | 13.5000 | + | 7.79423i | 0.482451 | + | 0.278543i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 33.0000 | − | 57.1577i | 1.17782 | − | 2.04004i | ||||
\(786\) | −22.5000 | + | 12.9904i | −0.802548 | + | 0.463352i | ||||
\(787\) | 14.0000 | + | 24.2487i | 0.499046 | + | 0.864373i | 0.999999 | − | 0.00110111i | \(-0.000350496\pi\) |
−0.500953 | + | 0.865474i | \(0.667017\pi\) | |||||||
\(788\) | −9.00000 | − | 15.5885i | −0.320612 | − | 0.555316i | ||||
\(789\) | 15.5885i | 0.554964i | ||||||||
\(790\) | −24.0000 | + | 41.5692i | −0.853882 | + | 1.47897i | ||||
\(791\) | 0 | 0 | ||||||||
\(792\) | 4.50000 | + | 7.79423i | 0.159901 | + | 0.276956i | ||||
\(793\) | −2.00000 | −0.0710221 | ||||||||
\(794\) | −6.50000 | + | 11.2583i | −0.230676 | + | 0.399543i | ||||
\(795\) | −13.5000 | − | 7.79423i | −0.478796 | − | 0.276433i | ||||
\(796\) | 12.5000 | + | 21.6506i | 0.443051 | + | 0.767386i | ||||
\(797\) | 10.5000 | + | 18.1865i | 0.371929 | + | 0.644200i | 0.989862 | − | 0.142031i | \(-0.0453631\pi\) |
−0.617933 | + | 0.786231i | \(0.712030\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 0 | 0 | ||||||||
\(800\) | −4.00000 | −0.141421 | ||||||||
\(801\) | 4.50000 | − | 7.79423i | 0.159000 | − | 0.275396i | ||||
\(802\) | −27.0000 | −0.953403 | ||||||||
\(803\) | 16.5000 | − | 28.5788i | 0.582272 | − | 1.00853i | ||||
\(804\) | − | 6.92820i | − | 0.244339i | ||||||
\(805\) | 0 | 0 | ||||||||
\(806\) | −4.00000 | − | 6.92820i | −0.140894 | − | 0.244036i | ||||
\(807\) | 22.5000 | − | 12.9904i | 0.792038 | − | 0.457283i | ||||
\(808\) | 1.50000 | − | 2.59808i | 0.0527698 | − | 0.0914000i | ||||
\(809\) | −33.0000 | −1.16022 | −0.580109 | − | 0.814539i | \(-0.696990\pi\) | ||||
−0.580109 | + | 0.814539i | \(0.696990\pi\) | |||||||
\(810\) | 13.5000 | + | 23.3827i | 0.474342 | + | 0.821584i | ||||
\(811\) | 20.0000 | 0.702295 | 0.351147 | − | 0.936320i | \(-0.385792\pi\) | ||||
0.351147 | + | 0.936320i | \(0.385792\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 7.50000 | − | 4.33013i | 0.263036 | − | 0.151864i | ||||
\(814\) | 1.50000 | + | 2.59808i | 0.0525750 | + | 0.0910625i | ||||
\(815\) | 28.5000 | + | 49.3634i | 0.998311 | + | 1.72913i | ||||
\(816\) | 5.19615i | 0.181902i | ||||||||
\(817\) | −3.50000 | + | 6.06218i | −0.122449 | + | 0.212089i | ||||
\(818\) | 34.0000 | 1.18878 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 9.00000 | 0.314294 | ||||||||
\(821\) | 21.0000 | − | 36.3731i | 0.732905 | − | 1.26943i | −0.222731 | − | 0.974880i | \(-0.571497\pi\) |
0.955636 | − | 0.294549i | \(-0.0951694\pi\) | |||||||
\(822\) | −13.5000 | − | 7.79423i | −0.470867 | − | 0.271855i | ||||
\(823\) | 20.0000 | + | 34.6410i | 0.697156 | + | 1.20751i | 0.969448 | + | 0.245295i | \(0.0788849\pi\) |
−0.272292 | + | 0.962215i | \(0.587782\pi\) | |||||||
\(824\) | −6.50000 | − | 11.2583i | −0.226438 | − | 0.392203i | ||||
\(825\) | 18.0000 | + | 10.3923i | 0.626680 | + | 0.361814i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 36.0000 | 1.25184 | 0.625921 | − | 0.779886i | \(-0.284723\pi\) | ||||
0.625921 | + | 0.779886i | \(0.284723\pi\) | |||||||
\(828\) | −13.5000 | − | 23.3827i | −0.469157 | − | 0.812605i | ||||
\(829\) | 11.0000 | 0.382046 | 0.191023 | − | 0.981586i | \(-0.438820\pi\) | ||||
0.191023 | + | 0.981586i | \(0.438820\pi\) | |||||||
\(830\) | −13.5000 | + | 23.3827i | −0.468592 | + | 0.811625i | ||||
\(831\) | − | 1.73205i | − | 0.0600842i | ||||||
\(832\) | 0.500000 | + | 0.866025i | 0.0173344 | + | 0.0300240i | ||||
\(833\) | 0 | 0 | ||||||||
\(834\) | 10.5000 | − | 6.06218i | 0.363585 | − | 0.209916i | ||||
\(835\) | 22.5000 | − | 38.9711i | 0.778645 | − | 1.34865i | ||||
\(836\) | 21.0000 | 0.726300 | ||||||||
\(837\) | −36.0000 | + | 20.7846i | −1.24434 | + | 0.718421i | ||||
\(838\) | −9.00000 | −0.310900 | ||||||||
\(839\) | −7.50000 | + | 12.9904i | −0.258929 | + | 0.448478i | −0.965955 | − | 0.258709i | \(-0.916703\pi\) |
0.707026 | + | 0.707187i | \(0.250036\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 10.0000 | + | 17.3205i | 0.344828 | + | 0.597259i | ||||
\(842\) | 17.5000 | + | 30.3109i | 0.603090 | + | 1.04458i | ||||
\(843\) | − | 36.3731i | − | 1.25275i | ||||||
\(844\) | −2.50000 | + | 4.33013i | −0.0860535 | + | 0.149049i | ||||
\(845\) | −36.0000 | −1.23844 | ||||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 0 | 0 | ||||||||
\(848\) | −1.50000 | + | 2.59808i | −0.0515102 | + | 0.0892183i | ||||
\(849\) | 6.00000 | + | 3.46410i | 0.205919 | + | 0.118888i | ||||
\(850\) | 6.00000 | + | 10.3923i | 0.205798 | + | 0.356453i | ||||
\(851\) | −4.50000 | − | 7.79423i | −0.154258 | − | 0.267183i | ||||
\(852\) | −18.0000 | − | 10.3923i | −0.616670 | − | 0.356034i | ||||
\(853\) | 0.500000 | − | 0.866025i | 0.0171197 | − | 0.0296521i | −0.857339 | − | 0.514753i | \(-0.827884\pi\) |
0.874458 | + | 0.485101i | \(0.161217\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 63.0000 | 2.15455 | ||||||||
\(856\) | −9.00000 | −0.307614 | ||||||||
\(857\) | −1.50000 | + | 2.59808i | −0.0512390 | + | 0.0887486i | −0.890507 | − | 0.454969i | \(-0.849650\pi\) |
0.839268 | + | 0.543718i | \(0.182984\pi\) | |||||||
\(858\) | − | 5.19615i | − | 0.177394i | ||||||
\(859\) | 12.5000 | + | 21.6506i | 0.426494 | + | 0.738710i | 0.996559 | − | 0.0828900i | \(-0.0264150\pi\) |
−0.570064 | + | 0.821600i | \(0.693082\pi\) | |||||||
\(860\) | 1.50000 | + | 2.59808i | 0.0511496 | + | 0.0885937i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 13.5000 | − | 23.3827i | 0.459812 | − | 0.796417i | ||||
\(863\) | −51.0000 | −1.73606 | −0.868030 | − | 0.496512i | \(-0.834614\pi\) | ||||
−0.868030 | + | 0.496512i | \(0.834614\pi\) | |||||||
\(864\) | 4.50000 | − | 2.59808i | 0.153093 | − | 0.0883883i | ||||
\(865\) | −18.0000 | −0.612018 | ||||||||
\(866\) | 1.00000 | − | 1.73205i | 0.0339814 | − | 0.0588575i | ||||
\(867\) | −12.0000 | + | 6.92820i | −0.407541 | + | 0.235294i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −24.0000 | − | 41.5692i | −0.814144 | − | 1.41014i | ||||
\(870\) | − | 15.5885i | − | 0.528498i | ||||||
\(871\) | −2.00000 | + | 3.46410i | −0.0677674 | + | 0.117377i | ||||
\(872\) | 13.0000 | 0.440236 | ||||||||
\(873\) | −1.50000 | − | 2.59808i | −0.0507673 | − | 0.0879316i | ||||
\(874\) | −63.0000 | −2.13101 | ||||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | −16.5000 | − | 9.52628i | −0.557483 | − | 0.321863i | ||||
\(877\) | −23.5000 | − | 40.7032i | −0.793539 | − | 1.37445i | −0.923763 | − | 0.382965i | \(-0.874903\pi\) |
0.130224 | − | 0.991485i | \(-0.458430\pi\) | |||||||
\(878\) | 4.00000 | + | 6.92820i | 0.134993 | + | 0.233816i | ||||
\(879\) | 13.5000 | + | 7.79423i | 0.455344 | + | 0.262893i | ||||
\(880\) | 4.50000 | − | 7.79423i | 0.151695 | − | 0.262743i | ||||
\(881\) | −18.0000 | −0.606435 | −0.303218 | − | 0.952921i | \(-0.598061\pi\) | ||||
−0.303218 | + | 0.952921i | \(0.598061\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 20.0000 | 0.673054 | 0.336527 | − | 0.941674i | \(-0.390748\pi\) | ||||
0.336527 | + | 0.941674i | \(0.390748\pi\) | |||||||
\(884\) | 1.50000 | − | 2.59808i | 0.0504505 | − | 0.0873828i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 18.0000 | + | 31.1769i | 0.604722 | + | 1.04741i | ||||
\(887\) | 16.5000 | + | 28.5788i | 0.554016 | + | 0.959583i | 0.997979 | + | 0.0635387i | \(0.0202386\pi\) |
−0.443964 | + | 0.896045i | \(0.646428\pi\) | |||||||
\(888\) | 1.50000 | − | 0.866025i | 0.0503367 | − | 0.0290619i | ||||
\(889\) | 0 | 0 | ||||||||
\(890\) | −9.00000 | −0.301681 | ||||||||
\(891\) | −27.0000 | −0.904534 | ||||||||
\(892\) | −1.00000 | −0.0334825 | ||||||||
\(893\) | 0 | 0 | ||||||||
\(894\) | 13.5000 | − | 7.79423i | 0.451508 | − | 0.260678i | ||||
\(895\) | 31.5000 | + | 54.5596i | 1.05293 | + | 1.82373i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 15.5885i | 0.520483i | ||||||||
\(898\) | 3.00000 | − | 5.19615i | 0.100111 | − | 0.173398i | ||||
\(899\) | 24.0000 | 0.800445 | ||||||||
\(900\) | 6.00000 | − | 10.3923i | 0.200000 | − | 0.346410i | ||||
\(901\) | 9.00000 | 0.299833 | ||||||||
\(902\) | −4.50000 | + | 7.79423i | −0.149834 | + | 0.259519i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −4.50000 | − | 7.79423i | −0.149668 | − | 0.259232i | ||||
\(905\) | −3.00000 | − | 5.19615i | −0.0997234 | − | 0.172726i | ||||
\(906\) | −10.5000 | − | 6.06218i | −0.348839 | − | 0.201402i | ||||
\(907\) | 21.5000 | − | 37.2391i | 0.713896 | − | 1.23650i | −0.249488 | − | 0.968378i | \(-0.580262\pi\) |
0.963384 | − | 0.268126i | \(-0.0864043\pi\) | |||||||
\(908\) | −3.00000 | −0.0995585 | ||||||||
\(909\) | 4.50000 | + | 7.79423i | 0.149256 | + | 0.258518i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −19.5000 | + | 33.7750i | −0.646064 | + | 1.11902i | 0.337991 | + | 0.941149i | \(0.390253\pi\) |
−0.984055 | + | 0.177866i | \(0.943081\pi\) | |||||||
\(912\) | − | 12.1244i | − | 0.401478i | ||||||
\(913\) | −13.5000 | − | 23.3827i | −0.446785 | − | 0.773854i | ||||
\(914\) | −5.00000 | − | 8.66025i | −0.165385 | − | 0.286456i | ||||
\(915\) | 9.00000 | − | 5.19615i | 0.297531 | − | 0.171780i | ||||
\(916\) | 6.50000 | − | 11.2583i | 0.214766 | − | 0.371986i | ||||
\(917\) | 0 | 0 | ||||||||
\(918\) | −13.5000 | − | 7.79423i | −0.445566 | − | 0.257248i | ||||
\(919\) | 53.0000 | 1.74831 | 0.874154 | − | 0.485648i | \(-0.161416\pi\) | ||||
0.874154 | + | 0.485648i | \(0.161416\pi\) | |||||||
\(920\) | −13.5000 | + | 23.3827i | −0.445082 | + | 0.770904i | ||||
\(921\) | −42.0000 | + | 24.2487i | −1.38395 | + | 0.799022i | ||||
\(922\) | −4.50000 | − | 7.79423i | −0.148200 | − | 0.256689i | ||||
\(923\) | 6.00000 | + | 10.3923i | 0.197492 | + | 0.342067i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 2.00000 | − | 3.46410i | 0.0657596 | − | 0.113899i | ||||
\(926\) | −41.0000 | −1.34734 | ||||||||
\(927\) | 39.0000 | 1.28093 | ||||||||
\(928\) | −3.00000 | −0.0984798 | ||||||||
\(929\) | −9.00000 | + | 15.5885i | −0.295280 | + | 0.511441i | −0.975050 | − | 0.221985i | \(-0.928746\pi\) |
0.679770 | + | 0.733426i | \(0.262080\pi\) | |||||||
\(930\) | 36.0000 | + | 20.7846i | 1.18049 | + | 0.681554i | ||||
\(931\) | 0 | 0 | ||||||||
\(932\) | −1.50000 | − | 2.59808i | −0.0491341 | − | 0.0851028i | ||||
\(933\) | 36.0000 | + | 20.7846i | 1.17859 | + | 0.680458i | ||||
\(934\) | −1.50000 | + | 2.59808i | −0.0490815 | + | 0.0850117i | ||||
\(935\) | −27.0000 | −0.882994 | ||||||||
\(936\) | −3.00000 | −0.0980581 | ||||||||
\(937\) | 26.0000 | 0.849383 | 0.424691 | − | 0.905338i | \(-0.360383\pi\) | ||||
0.424691 | + | 0.905338i | \(0.360383\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | − | 17.3205i | − | 0.565233i | ||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 3.00000 | + | 5.19615i | 0.0977972 | + | 0.169390i | 0.910773 | − | 0.412908i | \(-0.135487\pi\) |
−0.812975 | + | 0.582298i | \(0.802154\pi\) | |||||||
\(942\) | 33.0000 | − | 19.0526i | 1.07520 | − | 0.620766i | ||||
\(943\) | 13.5000 | − | 23.3827i | 0.439620 | − | 0.761445i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −3.00000 | −0.0975384 | ||||||||
\(947\) | −6.00000 | + | 10.3923i | −0.194974 | + | 0.337705i | −0.946892 | − | 0.321552i | \(-0.895796\pi\) |
0.751918 | + | 0.659256i | \(0.229129\pi\) | |||||||
\(948\) | −24.0000 | + | 13.8564i | −0.779484 | + | 0.450035i | ||||
\(949\) | 5.50000 | + | 9.52628i | 0.178538 | + | 0.309236i | ||||
\(950\) | −14.0000 | − | 24.2487i | −0.454220 | − | 0.786732i | ||||
\(951\) | 31.1769i | 1.01098i | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 6.00000 | 0.194359 | 0.0971795 | − | 0.995267i | \(-0.469018\pi\) | ||||
0.0971795 | + | 0.995267i | \(0.469018\pi\) | |||||||
\(954\) | −4.50000 | − | 7.79423i | −0.145693 | − | 0.252347i | ||||
\(955\) | 0 | 0 | ||||||||
\(956\) | 1.50000 | − | 2.59808i | 0.0485135 | − | 0.0840278i | ||||
\(957\) | 13.5000 | + | 7.79423i | 0.436393 | + | 0.251952i | ||||
\(958\) | −1.50000 | − | 2.59808i | −0.0484628 | − | 0.0839400i | ||||
\(959\) | 0 | 0 | ||||||||
\(960\) | −4.50000 | − | 2.59808i | −0.145237 | − | 0.0838525i | ||||
\(961\) | −16.5000 | + | 28.5788i | −0.532258 | + | 0.921898i | ||||
\(962\) | −1.00000 | −0.0322413 | ||||||||
\(963\) | 13.5000 | − | 23.3827i | 0.435031 | − | 0.753497i | ||||
\(964\) | −13.0000 | −0.418702 | ||||||||
\(965\) | −21.0000 | + | 36.3731i | −0.676014 | + | 1.17089i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −20.5000 | − | 35.5070i | −0.659236 | − | 1.14183i | −0.980814 | − | 0.194946i | \(-0.937547\pi\) |
0.321578 | − | 0.946883i | \(-0.395787\pi\) | |||||||
\(968\) | −1.00000 | − | 1.73205i | −0.0321412 | − | 0.0556702i | ||||
\(969\) | −31.5000 | + | 18.1865i | −1.01193 | + | 0.584236i | ||||
\(970\) | −1.50000 | + | 2.59808i | −0.0481621 | + | 0.0834192i | ||||
\(971\) | 33.0000 | 1.05902 | 0.529510 | − | 0.848304i | \(-0.322376\pi\) | ||||
0.529510 | + | 0.848304i | \(0.322376\pi\) | |||||||
\(972\) | 15.5885i | 0.500000i | ||||||||
\(973\) | 0 | 0 | ||||||||
\(974\) | −12.5000 | + | 21.6506i | −0.400526 | + | 0.693731i | ||||
\(975\) | −6.00000 | + | 3.46410i | −0.192154 | + | 0.110940i | ||||
\(976\) | −1.00000 | − | 1.73205i | −0.0320092 | − | 0.0554416i | ||||
\(977\) | 15.0000 | + | 25.9808i | 0.479893 | + | 0.831198i | 0.999734 | − | 0.0230645i | \(-0.00734232\pi\) |
−0.519841 | + | 0.854263i | \(0.674009\pi\) | |||||||
\(978\) | 32.9090i | 1.05231i | ||||||||
\(979\) | 4.50000 | − | 7.79423i | 0.143821 | − | 0.249105i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −19.5000 | + | 33.7750i | −0.622587 | + | 1.07835i | ||||
\(982\) | −21.0000 | −0.670137 | ||||||||
\(983\) | 7.50000 | − | 12.9904i | 0.239213 | − | 0.414329i | −0.721276 | − | 0.692648i | \(-0.756444\pi\) |
0.960489 | + | 0.278319i | \(0.0897773\pi\) | |||||||
\(984\) | 4.50000 | + | 2.59808i | 0.143455 | + | 0.0828236i | ||||
\(985\) | −27.0000 | − | 46.7654i | −0.860292 | − | 1.49007i | ||||
\(986\) | 4.50000 | + | 7.79423i | 0.143309 | + | 0.248219i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −3.50000 | + | 6.06218i | −0.111350 | + | 0.192864i | ||||
\(989\) | 9.00000 | 0.286183 | ||||||||
\(990\) | 13.5000 | + | 23.3827i | 0.429058 | + | 0.743151i | ||||
\(991\) | −25.0000 | −0.794151 | −0.397076 | − | 0.917786i | \(-0.629975\pi\) | ||||
−0.397076 | + | 0.917786i | \(0.629975\pi\) | |||||||
\(992\) | 4.00000 | − | 6.92820i | 0.127000 | − | 0.219971i | ||||
\(993\) | 13.8564i | 0.439720i | ||||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 37.5000 | + | 64.9519i | 1.18883 | + | 2.05911i | ||||
\(996\) | −13.5000 | + | 7.79423i | −0.427764 | + | 0.246970i | ||||
\(997\) | 6.50000 | − | 11.2583i | 0.205857 | − | 0.356555i | −0.744548 | − | 0.667568i | \(-0.767335\pi\) |
0.950405 | + | 0.311014i | \(0.100668\pi\) | |||||||
\(998\) | 25.0000 | 0.791361 | ||||||||
\(999\) | 5.19615i | 0.164399i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))