Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [490,2,Mod(79,490)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(490, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("490.79");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 490 = 2 \cdot 5 \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 490.i (of order \(6\), 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: | \(3.91266969904\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{6})\) |
Coefficient field: | \(\Q(\zeta_{24})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{8} - x^{4} + 1 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 3^{2} \) |
Twist minimal: | no (minimal twist has level 70) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 79.2 | ||
Root | \(-0.965926 + 0.258819i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 490.79 |
Dual form | 490.2.i.f.459.2 |
$q$-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 \(\left(\mathbb{Z}/490\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(197\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.866025 | − | 0.500000i | −0.612372 | − | 0.353553i | ||||
\(3\) | 2.12132 | − | 1.22474i | 1.22474 | − | 0.707107i | 0.258819 | − | 0.965926i | \(-0.416667\pi\) |
0.965926 | + | 0.258819i | \(0.0833333\pi\) | |||||||
\(4\) | 0.500000 | + | 0.866025i | 0.250000 | + | 0.433013i | ||||
\(5\) | 1.30701 | − | 1.81431i | 0.584511 | − | 0.811386i | ||||
\(6\) | −2.44949 | −1.00000 | ||||||||
\(7\) | 0 | 0 | ||||||||
\(8\) | − | 1.00000i | − | 0.353553i | ||||||
\(9\) | 1.50000 | − | 2.59808i | 0.500000 | − | 0.866025i | ||||
\(10\) | −2.03906 | + | 0.917738i | −0.644807 | + | 0.290214i | ||||
\(11\) | 2.44949 | + | 4.24264i | 0.738549 | + | 1.27920i | 0.953149 | + | 0.302502i | \(0.0978220\pi\) |
−0.214600 | + | 0.976702i | \(0.568845\pi\) | |||||||
\(12\) | 2.12132 | + | 1.22474i | 0.612372 | + | 0.353553i | ||||
\(13\) | − | 4.44949i | − | 1.23407i | −0.786937 | − | 0.617033i | \(-0.788334\pi\) | ||
0.786937 | − | 0.617033i | \(-0.211666\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 0.550510 | − | 5.44949i | 0.142141 | − | 1.40705i | ||||
\(16\) | −0.500000 | + | 0.866025i | −0.125000 | + | 0.216506i | ||||
\(17\) | 1.73205 | − | 1.00000i | 0.420084 | − | 0.242536i | −0.275029 | − | 0.961436i | \(-0.588688\pi\) |
0.695113 | + | 0.718900i | \(0.255354\pi\) | |||||||
\(18\) | −2.59808 | + | 1.50000i | −0.612372 | + | 0.353553i | ||||
\(19\) | −0.775255 | + | 1.34278i | −0.177856 | + | 0.308055i | −0.941146 | − | 0.338001i | \(-0.890249\pi\) |
0.763290 | + | 0.646056i | \(0.223583\pi\) | |||||||
\(20\) | 2.22474 | + | 0.224745i | 0.497468 | + | 0.0502545i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | − | 4.89898i | − | 1.04447i | ||||||
\(23\) | −2.51059 | − | 1.44949i | −0.523494 | − | 0.302240i | 0.214869 | − | 0.976643i | \(-0.431068\pi\) |
−0.738363 | + | 0.674403i | \(0.764401\pi\) | |||||||
\(24\) | −1.22474 | − | 2.12132i | −0.250000 | − | 0.433013i | ||||
\(25\) | −1.58346 | − | 4.74264i | −0.316693 | − | 0.948528i | ||||
\(26\) | −2.22474 | + | 3.85337i | −0.436308 | + | 0.755708i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −6.89898 | −1.28111 | −0.640554 | − | 0.767913i | \(-0.721295\pi\) | ||||
−0.640554 | + | 0.767913i | \(0.721295\pi\) | |||||||
\(30\) | −3.20150 | + | 4.44414i | −0.584511 | + | 0.811386i | ||||
\(31\) | 4.44949 | + | 7.70674i | 0.799152 | + | 1.38417i | 0.920169 | + | 0.391521i | \(0.128051\pi\) |
−0.121017 | + | 0.992650i | \(0.538616\pi\) | |||||||
\(32\) | 0.866025 | − | 0.500000i | 0.153093 | − | 0.0883883i | ||||
\(33\) | 10.3923 | + | 6.00000i | 1.80907 | + | 1.04447i | ||||
\(34\) | −2.00000 | −0.342997 | ||||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 3.00000 | 0.500000 | ||||||||
\(37\) | 1.73205 | + | 1.00000i | 0.284747 | + | 0.164399i | 0.635571 | − | 0.772043i | \(-0.280765\pi\) |
−0.350823 | + | 0.936442i | \(0.614098\pi\) | |||||||
\(38\) | 1.34278 | − | 0.775255i | 0.217828 | − | 0.125763i | ||||
\(39\) | −5.44949 | − | 9.43879i | −0.872617 | − | 1.51142i | ||||
\(40\) | −1.81431 | − | 1.30701i | −0.286868 | − | 0.206656i | ||||
\(41\) | 1.10102 | 0.171951 | 0.0859753 | − | 0.996297i | \(-0.472599\pi\) | ||||
0.0859753 | + | 0.996297i | \(0.472599\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | − | 0.898979i | − | 0.137093i | −0.997648 | − | 0.0685465i | \(-0.978164\pi\) | ||
0.997648 | − | 0.0685465i | \(-0.0218362\pi\) | |||||||
\(44\) | −2.44949 | + | 4.24264i | −0.369274 | + | 0.639602i | ||||
\(45\) | −2.75321 | − | 6.11717i | −0.410425 | − | 0.911894i | ||||
\(46\) | 1.44949 | + | 2.51059i | 0.213716 | + | 0.370166i | ||||
\(47\) | −7.70674 | − | 4.44949i | −1.12414 | − | 0.649025i | −0.181688 | − | 0.983356i | \(-0.558156\pi\) |
−0.942456 | + | 0.334331i | \(0.891490\pi\) | |||||||
\(48\) | 2.44949i | 0.353553i | ||||||||
\(49\) | 0 | 0 | ||||||||
\(50\) | −1.00000 | + | 4.89898i | −0.141421 | + | 0.692820i | ||||
\(51\) | 2.44949 | − | 4.24264i | 0.342997 | − | 0.594089i | ||||
\(52\) | 3.85337 | − | 2.22474i | 0.534366 | − | 0.308517i | ||||
\(53\) | −9.43879 | + | 5.44949i | −1.29652 | + | 0.748545i | −0.979801 | − | 0.199975i | \(-0.935914\pi\) |
−0.316717 | + | 0.948520i | \(0.602581\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 10.8990 | + | 1.10102i | 1.46962 | + | 0.148462i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 3.79796i | 0.503052i | ||||||||
\(58\) | 5.97469 | + | 3.44949i | 0.784515 | + | 0.452940i | ||||
\(59\) | 0.775255 | + | 1.34278i | 0.100930 | + | 0.174815i | 0.912068 | − | 0.410039i | \(-0.134485\pi\) |
−0.811138 | + | 0.584854i | \(0.801152\pi\) | |||||||
\(60\) | 4.99465 | − | 2.24799i | 0.644807 | − | 0.290214i | ||||
\(61\) | 1.77526 | − | 3.07483i | 0.227298 | − | 0.393692i | −0.729708 | − | 0.683759i | \(-0.760344\pi\) |
0.957006 | + | 0.290067i | \(0.0936775\pi\) | |||||||
\(62\) | − | 8.89898i | − | 1.13017i | ||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −1.00000 | −0.125000 | ||||||||
\(65\) | −8.07277 | − | 5.81552i | −1.00130 | − | 0.721326i | ||||
\(66\) | −6.00000 | − | 10.3923i | −0.738549 | − | 1.27920i | ||||
\(67\) | 6.92820 | − | 4.00000i | 0.846415 | − | 0.488678i | −0.0130248 | − | 0.999915i | \(-0.504146\pi\) |
0.859440 | + | 0.511237i | \(0.170813\pi\) | |||||||
\(68\) | 1.73205 | + | 1.00000i | 0.210042 | + | 0.121268i | ||||
\(69\) | −7.10102 | −0.854862 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −1.10102 | −0.130667 | −0.0653335 | − | 0.997863i | \(-0.520811\pi\) | ||||
−0.0653335 | + | 0.997863i | \(0.520811\pi\) | |||||||
\(72\) | −2.59808 | − | 1.50000i | −0.306186 | − | 0.176777i | ||||
\(73\) | −2.51059 | + | 1.44949i | −0.293842 | + | 0.169650i | −0.639673 | − | 0.768647i | \(-0.720930\pi\) |
0.345831 | + | 0.938297i | \(0.387597\pi\) | |||||||
\(74\) | −1.00000 | − | 1.73205i | −0.116248 | − | 0.201347i | ||||
\(75\) | −9.16756 | − | 8.12132i | −1.05858 | − | 0.937769i | ||||
\(76\) | −1.55051 | −0.177856 | ||||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 10.8990i | 1.23407i | ||||||||
\(79\) | 3.44949 | − | 5.97469i | 0.388098 | − | 0.672205i | −0.604096 | − | 0.796912i | \(-0.706466\pi\) |
0.992194 | + | 0.124706i | \(0.0397989\pi\) | |||||||
\(80\) | 0.917738 | + | 2.03906i | 0.102606 | + | 0.227974i | ||||
\(81\) | 4.50000 | + | 7.79423i | 0.500000 | + | 0.866025i | ||||
\(82\) | −0.953512 | − | 0.550510i | −0.105298 | − | 0.0607937i | ||||
\(83\) | 2.44949i | 0.268866i | 0.990923 | + | 0.134433i | \(0.0429214\pi\) | ||||
−0.990923 | + | 0.134433i | \(0.957079\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 0.449490 | − | 4.44949i | 0.0487540 | − | 0.482615i | ||||
\(86\) | −0.449490 | + | 0.778539i | −0.0484697 | + | 0.0839520i | ||||
\(87\) | −14.6349 | + | 8.44949i | −1.56903 | + | 0.905880i | ||||
\(88\) | 4.24264 | − | 2.44949i | 0.452267 | − | 0.261116i | ||||
\(89\) | 5.00000 | − | 8.66025i | 0.529999 | − | 0.917985i | −0.469389 | − | 0.882992i | \(-0.655526\pi\) |
0.999388 | − | 0.0349934i | \(-0.0111410\pi\) | |||||||
\(90\) | −0.674235 | + | 6.67423i | −0.0710706 | + | 0.703526i | ||||
\(91\) | 0 | 0 | ||||||||
\(92\) | − | 2.89898i | − | 0.302240i | ||||||
\(93\) | 18.8776 | + | 10.8990i | 1.95751 | + | 1.13017i | ||||
\(94\) | 4.44949 | + | 7.70674i | 0.458930 | + | 0.794890i | ||||
\(95\) | 1.42296 | + | 3.16158i | 0.145993 | + | 0.324371i | ||||
\(96\) | 1.22474 | − | 2.12132i | 0.125000 | − | 0.216506i | ||||
\(97\) | 15.7980i | 1.60404i | 0.597297 | + | 0.802020i | \(0.296241\pi\) | ||||
−0.597297 | + | 0.802020i | \(0.703759\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 14.6969 | 1.47710 | ||||||||
\(100\) | 3.31552 | − | 3.74264i | 0.331552 | − | 0.374264i | ||||
\(101\) | 1.77526 | + | 3.07483i | 0.176644 | + | 0.305957i | 0.940729 | − | 0.339159i | \(-0.110142\pi\) |
−0.764085 | + | 0.645116i | \(0.776809\pi\) | |||||||
\(102\) | −4.24264 | + | 2.44949i | −0.420084 | + | 0.242536i | ||||
\(103\) | 11.1708 | + | 6.44949i | 1.10070 | + | 0.635487i | 0.936404 | − | 0.350925i | \(-0.114133\pi\) |
0.164292 | + | 0.986412i | \(0.447466\pi\) | |||||||
\(104\) | −4.44949 | −0.436308 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 10.8990 | 1.05860 | ||||||||
\(107\) | −6.92820 | − | 4.00000i | −0.669775 | − | 0.386695i | 0.126217 | − | 0.992003i | \(-0.459717\pi\) |
−0.795991 | + | 0.605308i | \(0.793050\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 3.44949 | + | 5.97469i | 0.330401 | + | 0.572272i | 0.982591 | − | 0.185784i | \(-0.0594826\pi\) |
−0.652189 | + | 0.758056i | \(0.726149\pi\) | |||||||
\(110\) | −8.88828 | − | 6.40300i | −0.847465 | − | 0.610502i | ||||
\(111\) | 4.89898 | 0.464991 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 19.7980i | 1.86244i | 0.364464 | + | 0.931218i | \(0.381252\pi\) | ||||
−0.364464 | + | 0.931218i | \(0.618748\pi\) | |||||||
\(114\) | 1.89898 | − | 3.28913i | 0.177856 | − | 0.308055i | ||||
\(115\) | −5.91119 | + | 2.66050i | −0.551221 | + | 0.248093i | ||||
\(116\) | −3.44949 | − | 5.97469i | −0.320277 | − | 0.554736i | ||||
\(117\) | −11.5601 | − | 6.67423i | −1.06873 | − | 0.617033i | ||||
\(118\) | − | 1.55051i | − | 0.142736i | ||||||
\(119\) | 0 | 0 | ||||||||
\(120\) | −5.44949 | − | 0.550510i | −0.497468 | − | 0.0502545i | ||||
\(121\) | −6.50000 | + | 11.2583i | −0.590909 | + | 1.02348i | ||||
\(122\) | −3.07483 | + | 1.77526i | −0.278382 | + | 0.160724i | ||||
\(123\) | 2.33562 | − | 1.34847i | 0.210596 | − | 0.121587i | ||||
\(124\) | −4.44949 | + | 7.70674i | −0.399576 | + | 0.692086i | ||||
\(125\) | −10.6742 | − | 3.32577i | −0.954733 | − | 0.297465i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 14.8990i | 1.32207i | 0.750355 | + | 0.661035i | \(0.229883\pi\) | ||||
−0.750355 | + | 0.661035i | \(0.770117\pi\) | |||||||
\(128\) | 0.866025 | + | 0.500000i | 0.0765466 | + | 0.0441942i | ||||
\(129\) | −1.10102 | − | 1.90702i | −0.0969395 | − | 0.167904i | ||||
\(130\) | 4.08346 | + | 9.07277i | 0.358144 | + | 0.795734i | ||||
\(131\) | −3.22474 | + | 5.58542i | −0.281747 | + | 0.488001i | −0.971815 | − | 0.235744i | \(-0.924247\pi\) |
0.690068 | + | 0.723745i | \(0.257581\pi\) | |||||||
\(132\) | 12.0000i | 1.04447i | ||||||||
\(133\) | 0 | 0 | ||||||||
\(134\) | −8.00000 | −0.691095 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −1.00000 | − | 1.73205i | −0.0857493 | − | 0.148522i | ||||
\(137\) | 1.55708 | − | 0.898979i | 0.133030 | − | 0.0768050i | −0.432008 | − | 0.901870i | \(-0.642195\pi\) |
0.565038 | + | 0.825065i | \(0.308861\pi\) | |||||||
\(138\) | 6.14966 | + | 3.55051i | 0.523494 | + | 0.302240i | ||||
\(139\) | 1.55051 | 0.131513 | 0.0657563 | − | 0.997836i | \(-0.479054\pi\) | ||||
0.0657563 | + | 0.997836i | \(0.479054\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −21.7980 | −1.83572 | ||||||||
\(142\) | 0.953512 | + | 0.550510i | 0.0800169 | + | 0.0461978i | ||||
\(143\) | 18.8776 | − | 10.8990i | 1.57862 | − | 0.911418i | ||||
\(144\) | 1.50000 | + | 2.59808i | 0.125000 | + | 0.216506i | ||||
\(145\) | −9.01702 | + | 12.5169i | −0.748822 | + | 1.03947i | ||||
\(146\) | 2.89898 | 0.239921 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 2.00000i | 0.164399i | ||||||||
\(149\) | −1.89898 | + | 3.28913i | −0.155570 | + | 0.269456i | −0.933267 | − | 0.359184i | \(-0.883055\pi\) |
0.777696 | + | 0.628640i | \(0.216388\pi\) | |||||||
\(150\) | 3.87868 | + | 11.6170i | 0.316693 | + | 0.948528i | ||||
\(151\) | −9.79796 | − | 16.9706i | −0.797347 | − | 1.38104i | −0.921338 | − | 0.388762i | \(-0.872903\pi\) |
0.123992 | − | 0.992283i | \(-0.460430\pi\) | |||||||
\(152\) | 1.34278 | + | 0.775255i | 0.108914 | + | 0.0628815i | ||||
\(153\) | − | 6.00000i | − | 0.485071i | ||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 19.7980 | + | 2.00000i | 1.59021 | + | 0.160644i | ||||
\(156\) | 5.44949 | − | 9.43879i | 0.436308 | − | 0.755708i | ||||
\(157\) | 3.07483 | − | 1.77526i | 0.245398 | − | 0.141681i | −0.372257 | − | 0.928130i | \(-0.621416\pi\) |
0.617655 | + | 0.786449i | \(0.288083\pi\) | |||||||
\(158\) | −5.97469 | + | 3.44949i | −0.475321 | + | 0.274427i | ||||
\(159\) | −13.3485 | + | 23.1202i | −1.05860 | + | 1.83355i | ||||
\(160\) | 0.224745 | − | 2.22474i | 0.0177676 | − | 0.175882i | ||||
\(161\) | 0 | 0 | ||||||||
\(162\) | − | 9.00000i | − | 0.707107i | ||||||
\(163\) | 6.14966 | + | 3.55051i | 0.481679 | + | 0.278097i | 0.721116 | − | 0.692814i | \(-0.243630\pi\) |
−0.239437 | + | 0.970912i | \(0.576963\pi\) | |||||||
\(164\) | 0.550510 | + | 0.953512i | 0.0429876 | + | 0.0744568i | ||||
\(165\) | 24.4687 | − | 11.0129i | 1.90489 | − | 0.857349i | ||||
\(166\) | 1.22474 | − | 2.12132i | 0.0950586 | − | 0.164646i | ||||
\(167\) | − | 4.89898i | − | 0.379094i | −0.981872 | − | 0.189547i | \(-0.939298\pi\) | ||
0.981872 | − | 0.189547i | \(-0.0607020\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −6.79796 | −0.522920 | ||||||||
\(170\) | −2.61401 | + | 3.62863i | −0.200486 | + | 0.278303i | ||||
\(171\) | 2.32577 | + | 4.02834i | 0.177856 | + | 0.308055i | ||||
\(172\) | 0.778539 | − | 0.449490i | 0.0593630 | − | 0.0342733i | ||||
\(173\) | −5.41045 | − | 3.12372i | −0.411349 | − | 0.237492i | 0.280020 | − | 0.959994i | \(-0.409659\pi\) |
−0.691369 | + | 0.722502i | \(0.742992\pi\) | |||||||
\(174\) | 16.8990 | 1.28111 | ||||||||
\(175\) | 0 | 0 | ||||||||
\(176\) | −4.89898 | −0.369274 | ||||||||
\(177\) | 3.28913 | + | 1.89898i | 0.247226 | + | 0.142736i | ||||
\(178\) | −8.66025 | + | 5.00000i | −0.649113 | + | 0.374766i | ||||
\(179\) | 6.89898 | + | 11.9494i | 0.515654 | + | 0.893139i | 0.999835 | + | 0.0181709i | \(0.00578431\pi\) |
−0.484181 | + | 0.874968i | \(0.660882\pi\) | |||||||
\(180\) | 3.92102 | − | 5.44294i | 0.292256 | − | 0.405693i | ||||
\(181\) | 10.2474 | 0.761687 | 0.380843 | − | 0.924640i | \(-0.375634\pi\) | ||||
0.380843 | + | 0.924640i | \(0.375634\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | − | 8.69694i | − | 0.642896i | ||||||
\(184\) | −1.44949 | + | 2.51059i | −0.106858 | + | 0.185083i | ||||
\(185\) | 4.07812 | − | 1.83548i | 0.299829 | − | 0.134947i | ||||
\(186\) | −10.8990 | − | 18.8776i | −0.799152 | − | 1.38417i | ||||
\(187\) | 8.48528 | + | 4.89898i | 0.620505 | + | 0.358249i | ||||
\(188\) | − | 8.89898i | − | 0.649025i | ||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 0.348469 | − | 3.44949i | 0.0252806 | − | 0.250252i | ||||
\(191\) | −6.34847 | + | 10.9959i | −0.459359 | + | 0.795633i | −0.998927 | − | 0.0463087i | \(-0.985254\pi\) |
0.539568 | + | 0.841942i | \(0.318588\pi\) | |||||||
\(192\) | −2.12132 | + | 1.22474i | −0.153093 | + | 0.0883883i | ||||
\(193\) | −18.7026 | + | 10.7980i | −1.34624 | + | 0.777254i | −0.987715 | − | 0.156265i | \(-0.950055\pi\) |
−0.358528 | + | 0.933519i | \(0.616721\pi\) | |||||||
\(194\) | 7.89898 | − | 13.6814i | 0.567114 | − | 0.982270i | ||||
\(195\) | −24.2474 | − | 2.44949i | −1.73640 | − | 0.175412i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | − | 18.8990i | − | 1.34650i | −0.739417 | − | 0.673248i | \(-0.764899\pi\) | ||
0.739417 | − | 0.673248i | \(-0.235101\pi\) | |||||||
\(198\) | −12.7279 | − | 7.34847i | −0.904534 | − | 0.522233i | ||||
\(199\) | −8.44949 | − | 14.6349i | −0.598968 | − | 1.03744i | −0.992974 | − | 0.118336i | \(-0.962244\pi\) |
0.394005 | − | 0.919108i | \(-0.371089\pi\) | |||||||
\(200\) | −4.74264 | + | 1.58346i | −0.335355 | + | 0.111968i | ||||
\(201\) | 9.79796 | − | 16.9706i | 0.691095 | − | 1.19701i | ||||
\(202\) | − | 3.55051i | − | 0.249813i | ||||||
\(203\) | 0 | 0 | ||||||||
\(204\) | 4.89898 | 0.342997 | ||||||||
\(205\) | 1.43904 | − | 1.99760i | 0.100507 | − | 0.139518i | ||||
\(206\) | −6.44949 | − | 11.1708i | −0.449357 | − | 0.778310i | ||||
\(207\) | −7.53177 | + | 4.34847i | −0.523494 | + | 0.302240i | ||||
\(208\) | 3.85337 | + | 2.22474i | 0.267183 | + | 0.154258i | ||||
\(209\) | −7.59592 | −0.525421 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 12.0000 | 0.826114 | 0.413057 | − | 0.910705i | \(-0.364461\pi\) | ||||
0.413057 | + | 0.910705i | \(0.364461\pi\) | |||||||
\(212\) | −9.43879 | − | 5.44949i | −0.648259 | − | 0.374272i | ||||
\(213\) | −2.33562 | + | 1.34847i | −0.160034 | + | 0.0923956i | ||||
\(214\) | 4.00000 | + | 6.92820i | 0.273434 | + | 0.473602i | ||||
\(215\) | −1.63103 | − | 1.17497i | −0.111235 | − | 0.0801325i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 0 | 0 | ||||||||
\(218\) | − | 6.89898i | − | 0.467258i | ||||||
\(219\) | −3.55051 | + | 6.14966i | −0.239921 | + | 0.415556i | ||||
\(220\) | 4.49598 | + | 9.98930i | 0.303119 | + | 0.673479i | ||||
\(221\) | −4.44949 | − | 7.70674i | −0.299305 | − | 0.518412i | ||||
\(222\) | −4.24264 | − | 2.44949i | −0.284747 | − | 0.164399i | ||||
\(223\) | 4.00000i | 0.267860i | 0.990991 | + | 0.133930i | \(0.0427597\pi\) | ||||
−0.990991 | + | 0.133930i | \(0.957240\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −14.6969 | − | 3.00000i | −0.979796 | − | 0.200000i | ||||
\(226\) | 9.89898 | − | 17.1455i | 0.658470 | − | 1.14050i | ||||
\(227\) | 6.36396 | − | 3.67423i | 0.422391 | − | 0.243868i | −0.273709 | − | 0.961813i | \(-0.588250\pi\) |
0.696100 | + | 0.717945i | \(0.254917\pi\) | |||||||
\(228\) | −3.28913 | + | 1.89898i | −0.217828 | + | 0.125763i | ||||
\(229\) | 9.57321 | − | 16.5813i | 0.632616 | − | 1.09572i | −0.354399 | − | 0.935094i | \(-0.615315\pi\) |
0.987015 | − | 0.160628i | \(-0.0513521\pi\) | |||||||
\(230\) | 6.44949 | + | 0.651531i | 0.425267 | + | 0.0429607i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 6.89898i | 0.452940i | ||||||||
\(233\) | −25.8058 | − | 14.8990i | −1.69059 | − | 0.976065i | −0.954037 | − | 0.299688i | \(-0.903117\pi\) |
−0.736556 | − | 0.676376i | \(-0.763549\pi\) | |||||||
\(234\) | 6.67423 | + | 11.5601i | 0.436308 | + | 0.755708i | ||||
\(235\) | −18.1455 | + | 8.16693i | −1.18368 | + | 0.532752i | ||||
\(236\) | −0.775255 | + | 1.34278i | −0.0504648 | + | 0.0874076i | ||||
\(237\) | − | 16.8990i | − | 1.09771i | ||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 6.20204 | 0.401177 | 0.200588 | − | 0.979676i | \(-0.435715\pi\) | ||||
0.200588 | + | 0.979676i | \(0.435715\pi\) | |||||||
\(240\) | 4.44414 | + | 3.20150i | 0.286868 | + | 0.206656i | ||||
\(241\) | −4.34847 | − | 7.53177i | −0.280110 | − | 0.485164i | 0.691302 | − | 0.722566i | \(-0.257037\pi\) |
−0.971411 | + | 0.237402i | \(0.923704\pi\) | |||||||
\(242\) | 11.2583 | − | 6.50000i | 0.723713 | − | 0.417836i | ||||
\(243\) | 19.0919 | + | 11.0227i | 1.22474 | + | 0.707107i | ||||
\(244\) | 3.55051 | 0.227298 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | −2.69694 | −0.171951 | ||||||||
\(247\) | 5.97469 | + | 3.44949i | 0.380161 | + | 0.219486i | ||||
\(248\) | 7.70674 | − | 4.44949i | 0.489379 | − | 0.282543i | ||||
\(249\) | 3.00000 | + | 5.19615i | 0.190117 | + | 0.329293i | ||||
\(250\) | 7.58128 | + | 8.21731i | 0.479482 | + | 0.519709i | ||||
\(251\) | 6.44949 | 0.407088 | 0.203544 | − | 0.979066i | \(-0.434754\pi\) | ||||
0.203544 | + | 0.979066i | \(0.434754\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | − | 14.2020i | − | 0.892875i | ||||||
\(254\) | 7.44949 | − | 12.9029i | 0.467423 | − | 0.809600i | ||||
\(255\) | −4.49598 | − | 9.98930i | −0.281549 | − | 0.625554i | ||||
\(256\) | −0.500000 | − | 0.866025i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | 7.53177 | + | 4.34847i | 0.469819 | + | 0.271250i | 0.716164 | − | 0.697932i | \(-0.245896\pi\) |
−0.246345 | + | 0.969182i | \(0.579230\pi\) | |||||||
\(258\) | 2.20204i | 0.137093i | ||||||||
\(259\) | 0 | 0 | ||||||||
\(260\) | 1.00000 | − | 9.89898i | 0.0620174 | − | 0.613909i | ||||
\(261\) | −10.3485 | + | 17.9241i | −0.640554 | + | 1.10947i | ||||
\(262\) | 5.58542 | − | 3.22474i | 0.345069 | − | 0.199225i | ||||
\(263\) | 8.48528 | − | 4.89898i | 0.523225 | − | 0.302084i | −0.215028 | − | 0.976608i | \(-0.568984\pi\) |
0.738253 | + | 0.674524i | \(0.235651\pi\) | |||||||
\(264\) | 6.00000 | − | 10.3923i | 0.369274 | − | 0.639602i | ||||
\(265\) | −2.44949 | + | 24.2474i | −0.150471 | + | 1.48951i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | − | 24.4949i | − | 1.49906i | ||||||
\(268\) | 6.92820 | + | 4.00000i | 0.423207 | + | 0.244339i | ||||
\(269\) | −9.57321 | − | 16.5813i | −0.583689 | − | 1.01098i | −0.995037 | − | 0.0995010i | \(-0.968275\pi\) |
0.411348 | − | 0.911478i | \(-0.365058\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 6.00000 | − | 10.3923i | 0.364474 | − | 0.631288i | −0.624218 | − | 0.781251i | \(-0.714582\pi\) |
0.988692 | + | 0.149963i | \(0.0479155\pi\) | |||||||
\(272\) | 2.00000i | 0.121268i | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −1.79796 | −0.108619 | ||||||||
\(275\) | 16.2426 | − | 18.3351i | 0.979468 | − | 1.10565i | ||||
\(276\) | −3.55051 | − | 6.14966i | −0.213716 | − | 0.370166i | ||||
\(277\) | 12.9029 | − | 7.44949i | 0.775260 | − | 0.447596i | −0.0594879 | − | 0.998229i | \(-0.518947\pi\) |
0.834748 | + | 0.550633i | \(0.185613\pi\) | |||||||
\(278\) | −1.34278 | − | 0.775255i | −0.0805347 | − | 0.0464967i | ||||
\(279\) | 26.6969 | 1.59830 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −18.0000 | −1.07379 | −0.536895 | − | 0.843649i | \(-0.680403\pi\) | ||||
−0.536895 | + | 0.843649i | \(0.680403\pi\) | |||||||
\(282\) | 18.8776 | + | 10.8990i | 1.12414 | + | 0.649025i | ||||
\(283\) | −3.24980 | + | 1.87628i | −0.193181 | + | 0.111533i | −0.593471 | − | 0.804856i | \(-0.702243\pi\) |
0.400290 | + | 0.916389i | \(0.368909\pi\) | |||||||
\(284\) | −0.550510 | − | 0.953512i | −0.0326668 | − | 0.0565805i | ||||
\(285\) | 6.89069 | + | 4.96396i | 0.408169 | + | 0.294040i | ||||
\(286\) | −21.7980 | −1.28894 | ||||||||
\(287\) | 0 | 0 | ||||||||
\(288\) | − | 3.00000i | − | 0.176777i | ||||||
\(289\) | −6.50000 | + | 11.2583i | −0.382353 | + | 0.662255i | ||||
\(290\) | 14.0674 | − | 6.33145i | 0.826067 | − | 0.371796i | ||||
\(291\) | 19.3485 | + | 33.5125i | 1.13423 | + | 1.96454i | ||||
\(292\) | −2.51059 | − | 1.44949i | −0.146921 | − | 0.0848250i | ||||
\(293\) | − | 18.2474i | − | 1.06603i | −0.846107 | − | 0.533014i | \(-0.821059\pi\) | ||
0.846107 | − | 0.533014i | \(-0.178941\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 3.44949 | + | 0.348469i | 0.200837 | + | 0.0202887i | ||||
\(296\) | 1.00000 | − | 1.73205i | 0.0581238 | − | 0.100673i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 3.28913 | − | 1.89898i | 0.190534 | − | 0.110005i | ||||
\(299\) | −6.44949 | + | 11.1708i | −0.372984 | + | 0.646027i | ||||
\(300\) | 2.44949 | − | 12.0000i | 0.141421 | − | 0.692820i | ||||
\(301\) | 0 | 0 | ||||||||
\(302\) | 19.5959i | 1.12762i | ||||||||
\(303\) | 7.53177 | + | 4.34847i | 0.432689 | + | 0.249813i | ||||
\(304\) | −0.775255 | − | 1.34278i | −0.0444639 | − | 0.0770138i | ||||
\(305\) | −3.25844 | − | 7.23970i | −0.186578 | − | 0.414544i | ||||
\(306\) | −3.00000 | + | 5.19615i | −0.171499 | + | 0.297044i | ||||
\(307\) | − | 20.2474i | − | 1.15558i | −0.816184 | − | 0.577791i | \(-0.803915\pi\) | ||
0.816184 | − | 0.577791i | \(-0.196085\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 31.5959 | 1.79743 | ||||||||
\(310\) | −16.1455 | − | 11.6310i | −0.917005 | − | 0.660598i | ||||
\(311\) | 6.00000 | + | 10.3923i | 0.340229 | + | 0.589294i | 0.984475 | − | 0.175525i | \(-0.0561621\pi\) |
−0.644246 | + | 0.764818i | \(0.722829\pi\) | |||||||
\(312\) | −9.43879 | + | 5.44949i | −0.534366 | + | 0.308517i | ||||
\(313\) | −18.7026 | − | 10.7980i | −1.05713 | − | 0.610337i | −0.132496 | − | 0.991184i | \(-0.542299\pi\) |
−0.924638 | + | 0.380847i | \(0.875633\pi\) | |||||||
\(314\) | −3.55051 | −0.200367 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 6.89898 | 0.388098 | ||||||||
\(317\) | −19.4812 | − | 11.2474i | −1.09417 | − | 0.631720i | −0.159487 | − | 0.987200i | \(-0.550984\pi\) |
−0.934684 | + | 0.355480i | \(0.884317\pi\) | |||||||
\(318\) | 23.1202 | − | 13.3485i | 1.29652 | − | 0.748545i | ||||
\(319\) | −16.8990 | − | 29.2699i | −0.946161 | − | 1.63880i | ||||
\(320\) | −1.30701 | + | 1.81431i | −0.0730639 | + | 0.101423i | ||||
\(321\) | −19.5959 | −1.09374 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 3.10102i | 0.172545i | ||||||||
\(324\) | −4.50000 | + | 7.79423i | −0.250000 | + | 0.433013i | ||||
\(325\) | −21.1023 | + | 7.04561i | −1.17055 | + | 0.390820i | ||||
\(326\) | −3.55051 | − | 6.14966i | −0.196645 | − | 0.340598i | ||||
\(327\) | 14.6349 | + | 8.44949i | 0.809314 | + | 0.467258i | ||||
\(328\) | − | 1.10102i | − | 0.0607937i | ||||||
\(329\) | 0 | 0 | ||||||||
\(330\) | −26.6969 | − | 2.69694i | −1.46962 | − | 0.148462i | ||||
\(331\) | 9.34847 | − | 16.1920i | 0.513838 | − | 0.889994i | −0.486033 | − | 0.873941i | \(-0.661556\pi\) |
0.999871 | − | 0.0160535i | \(-0.00511022\pi\) | |||||||
\(332\) | −2.12132 | + | 1.22474i | −0.116423 | + | 0.0672166i | ||||
\(333\) | 5.19615 | − | 3.00000i | 0.284747 | − | 0.164399i | ||||
\(334\) | −2.44949 | + | 4.24264i | −0.134030 | + | 0.232147i | ||||
\(335\) | 1.79796 | − | 17.7980i | 0.0982330 | − | 0.972406i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | − | 9.59592i | − | 0.522723i | −0.965241 | − | 0.261361i | \(-0.915829\pi\) | ||
0.965241 | − | 0.261361i | \(-0.0841715\pi\) | |||||||
\(338\) | 5.88721 | + | 3.39898i | 0.320222 | + | 0.184880i | ||||
\(339\) | 24.2474 | + | 41.9978i | 1.31694 | + | 2.28101i | ||||
\(340\) | 4.07812 | − | 1.83548i | 0.221167 | − | 0.0995426i | ||||
\(341\) | −21.7980 | + | 37.7552i | −1.18043 | + | 2.04456i | ||||
\(342\) | − | 4.65153i | − | 0.251526i | ||||||
\(343\) | 0 | 0 | ||||||||
\(344\) | −0.898979 | −0.0484697 | ||||||||
\(345\) | −9.28108 | + | 12.8835i | −0.499677 | + | 0.693623i | ||||
\(346\) | 3.12372 | + | 5.41045i | 0.167932 | + | 0.290868i | ||||
\(347\) | −25.0273 | + | 14.4495i | −1.34353 | + | 0.775689i | −0.987324 | − | 0.158717i | \(-0.949264\pi\) |
−0.356209 | + | 0.934406i | \(0.615931\pi\) | |||||||
\(348\) | −14.6349 | − | 8.44949i | −0.784515 | − | 0.452940i | ||||
\(349\) | −8.44949 | −0.452291 | −0.226145 | − | 0.974094i | \(-0.572612\pi\) | ||||
−0.226145 | + | 0.974094i | \(0.572612\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 4.24264 | + | 2.44949i | 0.226134 | + | 0.130558i | ||||
\(353\) | −19.8311 | + | 11.4495i | −1.05550 | + | 0.609395i | −0.924185 | − | 0.381945i | \(-0.875254\pi\) |
−0.131318 | + | 0.991340i | \(0.541921\pi\) | |||||||
\(354\) | −1.89898 | − | 3.28913i | −0.100930 | − | 0.174815i | ||||
\(355\) | −1.43904 | + | 1.99760i | −0.0763764 | + | 0.106021i | ||||
\(356\) | 10.0000 | 0.529999 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | − | 13.7980i | − | 0.729245i | ||||||
\(359\) | −13.7980 | + | 23.8988i | −0.728228 | + | 1.26133i | 0.229403 | + | 0.973332i | \(0.426323\pi\) |
−0.957631 | + | 0.287997i | \(0.907011\pi\) | |||||||
\(360\) | −6.11717 | + | 2.75321i | −0.322403 | + | 0.145107i | ||||
\(361\) | 8.29796 | + | 14.3725i | 0.436735 | + | 0.756447i | ||||
\(362\) | −8.87455 | − | 5.12372i | −0.466436 | − | 0.269297i | ||||
\(363\) | 31.8434i | 1.67134i | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −0.651531 | + | 6.44949i | −0.0341027 | + | 0.337582i | ||||
\(366\) | −4.34847 | + | 7.53177i | −0.227298 | + | 0.393692i | ||||
\(367\) | 27.7128 | − | 16.0000i | 1.44660 | − | 0.835193i | 0.448320 | − | 0.893873i | \(-0.352022\pi\) |
0.998277 | + | 0.0586798i | \(0.0186891\pi\) | |||||||
\(368\) | 2.51059 | − | 1.44949i | 0.130874 | − | 0.0755599i | ||||
\(369\) | 1.65153 | − | 2.86054i | 0.0859753 | − | 0.148914i | ||||
\(370\) | −4.44949 | − | 0.449490i | −0.231318 | − | 0.0233679i | ||||
\(371\) | 0 | 0 | ||||||||
\(372\) | 21.7980i | 1.13017i | ||||||||
\(373\) | 4.06767 | + | 2.34847i | 0.210616 | + | 0.121599i | 0.601598 | − | 0.798799i | \(-0.294531\pi\) |
−0.390982 | + | 0.920398i | \(0.627864\pi\) | |||||||
\(374\) | −4.89898 | − | 8.48528i | −0.253320 | − | 0.438763i | ||||
\(375\) | −26.7167 | + | 6.01820i | −1.37964 | + | 0.310779i | ||||
\(376\) | −4.44949 | + | 7.70674i | −0.229465 | + | 0.397445i | ||||
\(377\) | 30.6969i | 1.58097i | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −30.6969 | −1.57680 | −0.788398 | − | 0.615166i | \(-0.789089\pi\) | ||||
−0.788398 | + | 0.615166i | \(0.789089\pi\) | |||||||
\(380\) | −2.02653 | + | 2.81311i | −0.103959 | + | 0.144310i | ||||
\(381\) | 18.2474 | + | 31.6055i | 0.934845 | + | 1.61920i | ||||
\(382\) | 10.9959 | − | 6.34847i | 0.562598 | − | 0.324816i | ||||
\(383\) | −6.14966 | − | 3.55051i | −0.314233 | − | 0.181423i | 0.334586 | − | 0.942365i | \(-0.391404\pi\) |
−0.648819 | + | 0.760943i | \(0.724737\pi\) | |||||||
\(384\) | 2.44949 | 0.125000 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 21.5959 | 1.09920 | ||||||||
\(387\) | −2.33562 | − | 1.34847i | −0.118726 | − | 0.0685465i | ||||
\(388\) | −13.6814 | + | 7.89898i | −0.694570 | + | 0.401010i | ||||
\(389\) | 6.55051 | + | 11.3458i | 0.332124 | + | 0.575256i | 0.982928 | − | 0.183990i | \(-0.0589014\pi\) |
−0.650804 | + | 0.759246i | \(0.725568\pi\) | |||||||
\(390\) | 19.7742 | + | 14.2450i | 1.00130 | + | 0.721326i | ||||
\(391\) | −5.79796 | −0.293215 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 15.7980i | 0.796902i | ||||||||
\(394\) | −9.44949 | + | 16.3670i | −0.476058 | + | 0.824557i | ||||
\(395\) | −6.33145 | − | 14.0674i | −0.318570 | − | 0.707809i | ||||
\(396\) | 7.34847 | + | 12.7279i | 0.369274 | + | 0.639602i | ||||
\(397\) | 2.29629 | + | 1.32577i | 0.115248 | + | 0.0665383i | 0.556516 | − | 0.830837i | \(-0.312138\pi\) |
−0.441268 | + | 0.897375i | \(0.645471\pi\) | |||||||
\(398\) | 16.8990i | 0.847069i | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 4.89898 | + | 1.00000i | 0.244949 | + | 0.0500000i | ||||
\(401\) | 14.6969 | − | 25.4558i | 0.733930 | − | 1.27120i | −0.221261 | − | 0.975215i | \(-0.571017\pi\) |
0.955191 | − | 0.295990i | \(-0.0956494\pi\) | |||||||
\(402\) | −16.9706 | + | 9.79796i | −0.846415 | + | 0.488678i | ||||
\(403\) | 34.2911 | − | 19.7980i | 1.70816 | − | 0.986207i | ||||
\(404\) | −1.77526 | + | 3.07483i | −0.0883222 | + | 0.152979i | ||||
\(405\) | 20.0227 | + | 2.02270i | 0.994936 | + | 0.100509i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 9.79796i | 0.485667i | ||||||||
\(408\) | −4.24264 | − | 2.44949i | −0.210042 | − | 0.121268i | ||||
\(409\) | −17.2474 | − | 29.8735i | −0.852831 | − | 1.47715i | −0.878642 | − | 0.477481i | \(-0.841550\pi\) |
0.0258109 | − | 0.999667i | \(-0.491783\pi\) | |||||||
\(410\) | −2.24504 | + | 1.01045i | −0.110875 | + | 0.0499025i | ||||
\(411\) | 2.20204 | − | 3.81405i | 0.108619 | − | 0.188133i | ||||
\(412\) | 12.8990i | 0.635487i | ||||||||
\(413\) | 0 | 0 | ||||||||
\(414\) | 8.69694 | 0.427431 | ||||||||
\(415\) | 4.44414 | + | 3.20150i | 0.218154 | + | 0.157155i | ||||
\(416\) | −2.22474 | − | 3.85337i | −0.109077 | − | 0.188927i | ||||
\(417\) | 3.28913 | − | 1.89898i | 0.161069 | − | 0.0929934i | ||||
\(418\) | 6.57826 | + | 3.79796i | 0.321753 | + | 0.185764i | ||||
\(419\) | −1.55051 | −0.0757474 | −0.0378737 | − | 0.999283i | \(-0.512058\pi\) | ||||
−0.0378737 | + | 0.999283i | \(0.512058\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −4.20204 | −0.204795 | −0.102397 | − | 0.994744i | \(-0.532651\pi\) | ||||
−0.102397 | + | 0.994744i | \(0.532651\pi\) | |||||||
\(422\) | −10.3923 | − | 6.00000i | −0.505889 | − | 0.292075i | ||||
\(423\) | −23.1202 | + | 13.3485i | −1.12414 | + | 0.649025i | ||||
\(424\) | 5.44949 | + | 9.43879i | 0.264651 | + | 0.458388i | ||||
\(425\) | −7.48528 | − | 6.63103i | −0.363089 | − | 0.321652i | ||||
\(426\) | 2.69694 | 0.130667 | ||||||||
\(427\) | 0 | 0 | ||||||||
\(428\) | − | 8.00000i | − | 0.386695i | ||||||
\(429\) | 26.6969 | − | 46.2405i | 1.28894 | − | 2.23251i | ||||
\(430\) | 0.825027 | + | 1.83307i | 0.0397864 | + | 0.0883985i | ||||
\(431\) | 0.898979 | + | 1.55708i | 0.0433023 | + | 0.0750018i | 0.886864 | − | 0.462030i | \(-0.152879\pi\) |
−0.843562 | + | 0.537032i | \(0.819545\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 0.202041i | 0.00970947i | 0.999988 | + | 0.00485474i | \(0.00154532\pi\) | ||||
−0.999988 | + | 0.00485474i | \(0.998455\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −3.79796 | + | 37.5959i | −0.182098 | + | 1.80259i | ||||
\(436\) | −3.44949 | + | 5.97469i | −0.165201 | + | 0.286136i | ||||
\(437\) | 3.89270 | − | 2.24745i | 0.186213 | − | 0.107510i | ||||
\(438\) | 6.14966 | − | 3.55051i | 0.293842 | − | 0.169650i | ||||
\(439\) | 10.6969 | − | 18.5276i | 0.510537 | − | 0.884276i | −0.489388 | − | 0.872066i | \(-0.662780\pi\) |
0.999925 | − | 0.0122101i | \(-0.00388670\pi\) | |||||||
\(440\) | 1.10102 | − | 10.8990i | 0.0524891 | − | 0.519588i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 8.89898i | 0.423281i | ||||||||
\(443\) | −8.48528 | − | 4.89898i | −0.403148 | − | 0.232758i | 0.284693 | − | 0.958619i | \(-0.408108\pi\) |
−0.687841 | + | 0.725861i | \(0.741442\pi\) | |||||||
\(444\) | 2.44949 | + | 4.24264i | 0.116248 | + | 0.201347i | ||||
\(445\) | −9.17738 | − | 20.3906i | −0.435049 | − | 0.966606i | ||||
\(446\) | 2.00000 | − | 3.46410i | 0.0947027 | − | 0.164030i | ||||
\(447\) | 9.30306i | 0.440020i | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 10.0000 | 0.471929 | 0.235965 | − | 0.971762i | \(-0.424175\pi\) | ||||
0.235965 | + | 0.971762i | \(0.424175\pi\) | |||||||
\(450\) | 11.2279 | + | 9.94655i | 0.529289 | + | 0.468885i | ||||
\(451\) | 2.69694 | + | 4.67123i | 0.126994 | + | 0.219960i | ||||
\(452\) | −17.1455 | + | 9.89898i | −0.806458 | + | 0.465609i | ||||
\(453\) | −41.5692 | − | 24.0000i | −1.95309 | − | 1.12762i | ||||
\(454\) | −7.34847 | −0.344881 | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 3.79796 | 0.177856 | ||||||||
\(457\) | 25.6308 | + | 14.7980i | 1.19896 | + | 0.692219i | 0.960323 | − | 0.278890i | \(-0.0899664\pi\) |
0.238636 | + | 0.971109i | \(0.423300\pi\) | |||||||
\(458\) | −16.5813 | + | 9.57321i | −0.774793 | + | 0.447327i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −5.25966 | − | 3.78899i | −0.245233 | − | 0.176662i | ||||
\(461\) | −17.3485 | −0.807999 | −0.403999 | − | 0.914759i | \(-0.632380\pi\) | ||||
−0.403999 | + | 0.914759i | \(0.632380\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 3.59592i | 0.167116i | 0.996503 | + | 0.0835582i | \(0.0266285\pi\) | ||||
−0.996503 | + | 0.0835582i | \(0.973372\pi\) | |||||||
\(464\) | 3.44949 | − | 5.97469i | 0.160139 | − | 0.277368i | ||||
\(465\) | 44.4473 | − | 20.0048i | 2.06119 | − | 0.927701i | ||||
\(466\) | 14.8990 | + | 25.8058i | 0.690182 | + | 1.19543i | ||||
\(467\) | −9.04952 | − | 5.22474i | −0.418762 | − | 0.241772i | 0.275785 | − | 0.961219i | \(-0.411062\pi\) |
−0.694548 | + | 0.719447i | \(0.744395\pi\) | |||||||
\(468\) | − | 13.3485i | − | 0.617033i | ||||||
\(469\) | 0 | 0 | ||||||||
\(470\) | 19.7980 | + | 2.00000i | 0.913212 | + | 0.0922531i | ||||
\(471\) | 4.34847 | − | 7.53177i | 0.200367 | − | 0.347046i | ||||
\(472\) | 1.34278 | − | 0.775255i | 0.0618065 | − | 0.0356840i | ||||
\(473\) | 3.81405 | − | 2.20204i | 0.175370 | − | 0.101250i | ||||
\(474\) | −8.44949 | + | 14.6349i | −0.388098 | + | 0.672205i | ||||
\(475\) | 7.59592 | + | 1.55051i | 0.348525 | + | 0.0711423i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 32.6969i | 1.49709i | ||||||||
\(478\) | −5.37113 | − | 3.10102i | −0.245670 | − | 0.141837i | ||||
\(479\) | −4.65153 | − | 8.05669i | −0.212534 | − | 0.368119i | 0.739973 | − | 0.672637i | \(-0.234838\pi\) |
−0.952507 | + | 0.304517i | \(0.901505\pi\) | |||||||
\(480\) | −2.24799 | − | 4.99465i | −0.102606 | − | 0.227974i | ||||
\(481\) | 4.44949 | − | 7.70674i | 0.202879 | − | 0.351397i | ||||
\(482\) | 8.69694i | 0.396135i | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −13.0000 | −0.590909 | ||||||||
\(485\) | 28.6624 | + | 20.6480i | 1.30149 | + | 0.937579i | ||||
\(486\) | −11.0227 | − | 19.0919i | −0.500000 | − | 0.866025i | ||||
\(487\) | 6.32464 | − | 3.65153i | 0.286597 | − | 0.165467i | −0.349809 | − | 0.936821i | \(-0.613754\pi\) |
0.636406 | + | 0.771354i | \(0.280420\pi\) | |||||||
\(488\) | −3.07483 | − | 1.77526i | −0.139191 | − | 0.0803620i | ||||
\(489\) | 17.3939 | 0.786578 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 19.5959 | 0.884351 | 0.442176 | − | 0.896928i | \(-0.354207\pi\) | ||||
0.442176 | + | 0.896928i | \(0.354207\pi\) | |||||||
\(492\) | 2.33562 | + | 1.34847i | 0.105298 | + | 0.0607937i | ||||
\(493\) | −11.9494 | + | 6.89898i | −0.538173 | + | 0.310714i | ||||
\(494\) | −3.44949 | − | 5.97469i | −0.155200 | − | 0.268814i | ||||
\(495\) | 19.2090 | − | 26.6648i | 0.863381 | − | 1.19850i | ||||
\(496\) | −8.89898 | −0.399576 | ||||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | − | 6.00000i | − | 0.268866i | ||||||
\(499\) | 3.10102 | − | 5.37113i | 0.138821 | − | 0.240445i | −0.788230 | − | 0.615381i | \(-0.789002\pi\) |
0.927051 | + | 0.374936i | \(0.122335\pi\) | |||||||
\(500\) | −2.45692 | − | 10.9070i | −0.109877 | − | 0.487778i | ||||
\(501\) | −6.00000 | − | 10.3923i | −0.268060 | − | 0.464294i | ||||
\(502\) | −5.58542 | − | 3.22474i | −0.249290 | − | 0.143927i | ||||
\(503\) | 4.00000i | 0.178351i | 0.996016 | + | 0.0891756i | \(0.0284232\pi\) | ||||
−0.996016 | + | 0.0891756i | \(0.971577\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 7.89898 | + | 0.797959i | 0.351500 | + | 0.0355087i | ||||
\(506\) | −7.10102 | + | 12.2993i | −0.315679 | + | 0.546772i | ||||
\(507\) | −14.4206 | + | 8.32577i | −0.640443 | + | 0.369760i | ||||
\(508\) | −12.9029 | + | 7.44949i | −0.572473 | + | 0.330518i | ||||
\(509\) | 15.7753 | − | 27.3235i | 0.699226 | − | 1.21109i | −0.269509 | − | 0.962998i | \(-0.586861\pi\) |
0.968735 | − | 0.248097i | \(-0.0798052\pi\) | |||||||
\(510\) | −1.10102 | + | 10.8990i | −0.0487540 | + | 0.482615i | ||||
\(511\) | 0 | 0 | ||||||||
\(512\) | 1.00000i | 0.0441942i | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −4.34847 | − | 7.53177i | −0.191803 | − | 0.332212i | ||||
\(515\) | 26.3018 | − | 11.8379i | 1.15899 | − | 0.521639i | ||||
\(516\) | 1.10102 | − | 1.90702i | 0.0484697 | − | 0.0839520i | ||||
\(517\) | − | 43.5959i | − | 1.91735i | ||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −15.3031 | −0.671730 | ||||||||
\(520\) | −5.81552 | + | 8.07277i | −0.255027 | + | 0.354014i | ||||
\(521\) | 16.3485 | + | 28.3164i | 0.716239 | + | 1.24056i | 0.962480 | + | 0.271354i | \(0.0874715\pi\) |
−0.246240 | + | 0.969209i | \(0.579195\pi\) | |||||||
\(522\) | 17.9241 | − | 10.3485i | 0.784515 | − | 0.452940i | ||||
\(523\) | −28.7056 | − | 16.5732i | −1.25521 | − | 0.724696i | −0.283071 | − | 0.959099i | \(-0.591353\pi\) |
−0.972140 | + | 0.234403i | \(0.924686\pi\) | |||||||
\(524\) | −6.44949 | −0.281747 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −9.79796 | −0.427211 | ||||||||
\(527\) | 15.4135 | + | 8.89898i | 0.671422 | + | 0.387646i | ||||
\(528\) | −10.3923 | + | 6.00000i | −0.452267 | + | 0.261116i | ||||
\(529\) | −7.29796 | − | 12.6404i | −0.317303 | − | 0.549584i | ||||
\(530\) | 14.2450 | − | 19.7742i | 0.618765 | − | 0.858935i | ||||
\(531\) | 4.65153 | 0.201859 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | − | 4.89898i | − | 0.212198i | ||||||
\(534\) | −12.2474 | + | 21.2132i | −0.529999 | + | 0.917985i | ||||
\(535\) | −16.3125 | + | 7.34190i | −0.705249 | + | 0.317418i | ||||
\(536\) | −4.00000 | − | 6.92820i | −0.172774 | − | 0.299253i | ||||
\(537\) | 29.2699 | + | 16.8990i | 1.26309 | + | 0.729245i | ||||
\(538\) | 19.1464i | 0.825461i | ||||||||
\(539\) | 0 | 0 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −4.79796 | + | 8.31031i | −0.206280 | + | 0.357288i | −0.950540 | − | 0.310602i | \(-0.899469\pi\) |
0.744260 | + | 0.667891i | \(0.232803\pi\) | |||||||
\(542\) | −10.3923 | + | 6.00000i | −0.446388 | + | 0.257722i | ||||
\(543\) | 21.7381 | − | 12.5505i | 0.932872 | − | 0.538594i | ||||
\(544\) | 1.00000 | − | 1.73205i | 0.0428746 | − | 0.0742611i | ||||
\(545\) | 15.3485 | + | 1.55051i | 0.657456 | + | 0.0664166i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 18.6969i | 0.799423i | 0.916641 | + | 0.399712i | \(0.130890\pi\) | ||||
−0.916641 | + | 0.399712i | \(0.869110\pi\) | |||||||
\(548\) | 1.55708 | + | 0.898979i | 0.0665151 | + | 0.0384025i | ||||
\(549\) | −5.32577 | − | 9.22450i | −0.227298 | − | 0.393692i | ||||
\(550\) | −23.2341 | + | 7.75736i | −0.990705 | + | 0.330775i | ||||
\(551\) | 5.34847 | − | 9.26382i | 0.227852 | − | 0.394652i | ||||
\(552\) | 7.10102i | 0.302240i | ||||||||
\(553\) | 0 | 0 | ||||||||
\(554\) | −14.8990 | −0.632997 | ||||||||
\(555\) | 6.40300 | − | 8.88828i | 0.271792 | − | 0.377287i | ||||
\(556\) | 0.775255 | + | 1.34278i | 0.0328781 | + | 0.0569466i | ||||
\(557\) | −10.9959 | + | 6.34847i | −0.465910 | + | 0.268993i | −0.714526 | − | 0.699609i | \(-0.753358\pi\) |
0.248616 | + | 0.968602i | \(0.420024\pi\) | |||||||
\(558\) | −23.1202 | − | 13.3485i | −0.978757 | − | 0.565086i | ||||
\(559\) | −4.00000 | −0.169182 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 24.0000 | 1.01328 | ||||||||
\(562\) | 15.5885 | + | 9.00000i | 0.657559 | + | 0.379642i | ||||
\(563\) | 26.0201 | − | 15.0227i | 1.09662 | − | 0.633131i | 0.161286 | − | 0.986908i | \(-0.448436\pi\) |
0.935330 | + | 0.353776i | \(0.115103\pi\) | |||||||
\(564\) | −10.8990 | − | 18.8776i | −0.458930 | − | 0.794890i | ||||
\(565\) | 35.9197 | + | 25.8761i | 1.51115 | + | 1.08861i | ||||
\(566\) | 3.75255 | 0.157731 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 1.10102i | 0.0461978i | ||||||||
\(569\) | 16.8990 | − | 29.2699i | 0.708442 | − | 1.22706i | −0.256993 | − | 0.966413i | \(-0.582732\pi\) |
0.965435 | − | 0.260644i | \(-0.0839350\pi\) | |||||||
\(570\) | −3.48553 | − | 7.74426i | −0.145993 | − | 0.324371i | ||||
\(571\) | 5.55051 | + | 9.61377i | 0.232282 | + | 0.402324i | 0.958479 | − | 0.285162i | \(-0.0920476\pi\) |
−0.726198 | + | 0.687486i | \(0.758714\pi\) | |||||||
\(572\) | 18.8776 | + | 10.8990i | 0.789312 | + | 0.455709i | ||||
\(573\) | 31.1010i | 1.29926i | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −2.89898 | + | 14.2020i | −0.120896 | + | 0.592266i | ||||
\(576\) | −1.50000 | + | 2.59808i | −0.0625000 | + | 0.108253i | ||||
\(577\) | −2.16064 | + | 1.24745i | −0.0899488 | + | 0.0519320i | −0.544300 | − | 0.838891i | \(-0.683205\pi\) |
0.454351 | + | 0.890823i | \(0.349871\pi\) | |||||||
\(578\) | 11.2583 | − | 6.50000i | 0.468285 | − | 0.270364i | ||||
\(579\) | −26.4495 | + | 45.8119i | −1.09920 | + | 1.90388i | ||||
\(580\) | −15.3485 | − | 1.55051i | −0.637310 | − | 0.0643814i | ||||
\(581\) | 0 | 0 | ||||||||
\(582\) | − | 38.6969i | − | 1.60404i | ||||||
\(583\) | −46.2405 | − | 26.6969i | −1.91508 | − | 1.10567i | ||||
\(584\) | 1.44949 | + | 2.51059i | 0.0599803 | + | 0.103889i | ||||
\(585\) | −27.2183 | + | 12.2504i | −1.12534 | + | 0.506491i | ||||
\(586\) | −9.12372 | + | 15.8028i | −0.376898 | + | 0.652806i | ||||
\(587\) | 1.14643i | 0.0473182i | 0.999720 | + | 0.0236591i | \(0.00753162\pi\) | ||||
−0.999720 | + | 0.0236591i | \(0.992468\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −13.7980 | −0.568535 | ||||||||
\(590\) | −2.81311 | − | 2.02653i | −0.115814 | − | 0.0834308i | ||||
\(591\) | −23.1464 | − | 40.0908i | −0.952117 | − | 1.64911i | ||||
\(592\) | −1.73205 | + | 1.00000i | −0.0711868 | + | 0.0410997i | ||||
\(593\) | −9.43879 | − | 5.44949i | −0.387605 | − | 0.223784i | 0.293517 | − | 0.955954i | \(-0.405174\pi\) |
−0.681122 | + | 0.732170i | \(0.738508\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 0 | 0 | ||||||||
\(596\) | −3.79796 | −0.155570 | ||||||||
\(597\) | −35.8481 | − | 20.6969i | −1.46717 | − | 0.847069i | ||||
\(598\) | 11.1708 | − | 6.44949i | 0.456810 | − | 0.263739i | ||||
\(599\) | −6.55051 | − | 11.3458i | −0.267647 | − | 0.463577i | 0.700607 | − | 0.713547i | \(-0.252913\pi\) |
−0.968254 | + | 0.249970i | \(0.919579\pi\) | |||||||
\(600\) | −8.12132 | + | 9.16756i | −0.331552 | + | 0.374264i | ||||
\(601\) | 39.3939 | 1.60691 | 0.803455 | − | 0.595366i | \(-0.202993\pi\) | ||||
0.803455 | + | 0.595366i | \(0.202993\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | − | 24.0000i | − | 0.977356i | ||||||
\(604\) | 9.79796 | − | 16.9706i | 0.398673 | − | 0.690522i | ||||
\(605\) | 11.9306 | + | 26.5078i | 0.485047 | + | 1.07769i | ||||
\(606\) | −4.34847 | − | 7.53177i | −0.176644 | − | 0.305957i | ||||
\(607\) | −28.9199 | − | 16.6969i | −1.17382 | − | 0.677708i | −0.219247 | − | 0.975669i | \(-0.570360\pi\) |
−0.954578 | + | 0.297962i | \(0.903693\pi\) | |||||||
\(608\) | 1.55051i | 0.0628815i | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −0.797959 | + | 7.89898i | −0.0323084 | + | 0.319820i | ||||
\(611\) | −19.7980 | + | 34.2911i | −0.800940 | + | 1.38727i | ||||
\(612\) | 5.19615 | − | 3.00000i | 0.210042 | − | 0.121268i | ||||
\(613\) | −24.0737 | + | 13.8990i | −0.972329 | + | 0.561374i | −0.899946 | − | 0.436002i | \(-0.856394\pi\) |
−0.0723836 | + | 0.997377i | \(0.523061\pi\) | |||||||
\(614\) | −10.1237 | + | 17.5348i | −0.408560 | + | 0.707647i | ||||
\(615\) | 0.606123 | − | 6.00000i | 0.0244412 | − | 0.241943i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | − | 29.5959i | − | 1.19149i | −0.803175 | − | 0.595743i | \(-0.796858\pi\) | ||
0.803175 | − | 0.595743i | \(-0.203142\pi\) | |||||||
\(618\) | −27.3629 | − | 15.7980i | −1.10070 | − | 0.635487i | ||||
\(619\) | 20.7753 | + | 35.9838i | 0.835028 | + | 1.44631i | 0.894008 | + | 0.448052i | \(0.147882\pi\) |
−0.0589796 | + | 0.998259i | \(0.518785\pi\) | |||||||
\(620\) | 8.16693 | + | 18.1455i | 0.327992 | + | 0.728742i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | − | 12.0000i | − | 0.481156i | ||||||
\(623\) | 0 | 0 | ||||||||
\(624\) | 10.8990 | 0.436308 | ||||||||
\(625\) | −19.9853 | + | 15.0196i | −0.799411 | + | 0.600784i | ||||
\(626\) | 10.7980 | + | 18.7026i | 0.431573 | + | 0.747507i | ||||
\(627\) | −16.1134 | + | 9.30306i | −0.643506 | + | 0.371528i | ||||
\(628\) | 3.07483 | + | 1.77526i | 0.122699 | + | 0.0708404i | ||||
\(629\) | 4.00000 | 0.159490 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −42.4949 | −1.69170 | −0.845848 | − | 0.533425i | \(-0.820905\pi\) | ||||
−0.845848 | + | 0.533425i | \(0.820905\pi\) | |||||||
\(632\) | −5.97469 | − | 3.44949i | −0.237660 | − | 0.137213i | ||||
\(633\) | 25.4558 | − | 14.6969i | 1.01178 | − | 0.584151i | ||||
\(634\) | 11.2474 | + | 19.4812i | 0.446693 | + | 0.773695i | ||||
\(635\) | 27.0314 | + | 19.4731i | 1.07271 | + | 0.772765i | ||||
\(636\) | −26.6969 | −1.05860 | ||||||||
\(637\) | 0 | 0 | ||||||||
\(638\) | 33.7980i | 1.33807i | ||||||||
\(639\) | −1.65153 | + | 2.86054i | −0.0653335 | + | 0.113161i | ||||
\(640\) | 2.03906 | − | 0.917738i | 0.0806008 | − | 0.0362768i | ||||
\(641\) | −12.8990 | − | 22.3417i | −0.509479 | − | 0.882444i | −0.999940 | − | 0.0109803i | \(-0.996505\pi\) |
0.490461 | − | 0.871463i | \(-0.336829\pi\) | |||||||
\(642\) | 16.9706 | + | 9.79796i | 0.669775 | + | 0.386695i | ||||
\(643\) | − | 25.1464i | − | 0.991678i | −0.868414 | − | 0.495839i | \(-0.834861\pi\) | ||
0.868414 | − | 0.495839i | \(-0.165139\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −4.89898 | − | 0.494897i | −0.192897 | − | 0.0194866i | ||||
\(646\) | 1.55051 | − | 2.68556i | 0.0610040 | − | 0.105662i | ||||
\(647\) | −40.0908 | + | 23.1464i | −1.57613 | + | 0.909980i | −0.580740 | + | 0.814089i | \(0.697237\pi\) |
−0.995392 | + | 0.0958907i | \(0.969430\pi\) | |||||||
\(648\) | 7.79423 | − | 4.50000i | 0.306186 | − | 0.176777i | ||||
\(649\) | −3.79796 | + | 6.57826i | −0.149083 | + | 0.258219i | ||||
\(650\) | 21.7980 | + | 4.44949i | 0.854986 | + | 0.174523i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 7.10102i | 0.278097i | ||||||||
\(653\) | 17.4955 | + | 10.1010i | 0.684651 | + | 0.395283i | 0.801605 | − | 0.597854i | \(-0.203980\pi\) |
−0.116954 | + | 0.993137i | \(0.537313\pi\) | |||||||
\(654\) | −8.44949 | − | 14.6349i | −0.330401 | − | 0.572272i | ||||
\(655\) | 5.91894 | + | 13.1509i | 0.231272 | + | 0.513848i | ||||
\(656\) | −0.550510 | + | 0.953512i | −0.0214938 | + | 0.0372284i | ||||
\(657\) | 8.69694i | 0.339300i | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −16.8990 | −0.658291 | −0.329145 | − | 0.944279i | \(-0.606761\pi\) | ||||
−0.329145 | + | 0.944279i | \(0.606761\pi\) | |||||||
\(660\) | 21.7718 | + | 15.6841i | 0.847465 | + | 0.610502i | ||||
\(661\) | −20.4722 | − | 35.4589i | −0.796276 | − | 1.37919i | −0.922026 | − | 0.387129i | \(-0.873467\pi\) |
0.125750 | − | 0.992062i | \(-0.459866\pi\) | |||||||
\(662\) | −16.1920 | + | 9.34847i | −0.629321 | + | 0.363339i | ||||
\(663\) | −18.8776 | − | 10.8990i | −0.733145 | − | 0.423281i | ||||
\(664\) | 2.44949 | 0.0950586 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −6.00000 | −0.232495 | ||||||||
\(667\) | 17.3205 | + | 10.0000i | 0.670653 | + | 0.387202i | ||||
\(668\) | 4.24264 | − | 2.44949i | 0.164153 | − | 0.0947736i | ||||
\(669\) | 4.89898 | + | 8.48528i | 0.189405 | + | 0.328060i | ||||
\(670\) | −10.4561 | + | 14.5145i | −0.403953 | + | 0.560744i | ||||
\(671\) | 17.3939 | 0.671483 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | − | 17.7980i | − | 0.686061i | −0.939324 | − | 0.343030i | \(-0.888547\pi\) | ||
0.939324 | − | 0.343030i | \(-0.111453\pi\) | |||||||
\(674\) | −4.79796 | + | 8.31031i | −0.184810 | + | 0.320101i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −3.39898 | − | 5.88721i | −0.130730 | − | 0.226431i | ||||
\(677\) | 31.5662 | + | 18.2247i | 1.21319 | + | 0.700434i | 0.963452 | − | 0.267880i | \(-0.0863232\pi\) |
0.249735 | + | 0.968314i | \(0.419657\pi\) | |||||||
\(678\) | − | 48.4949i | − | 1.86244i | ||||||
\(679\) | 0 | 0 | ||||||||
\(680\) | −4.44949 | − | 0.449490i | −0.170630 | − | 0.0172371i | ||||
\(681\) | 9.00000 | − | 15.5885i | 0.344881 | − | 0.597351i | ||||
\(682\) | 37.7552 | − | 21.7980i | 1.44572 | − | 0.834687i | ||||
\(683\) | 3.11416 | − | 1.79796i | 0.119160 | − | 0.0687970i | −0.439235 | − | 0.898372i | \(-0.644751\pi\) |
0.558395 | + | 0.829575i | \(0.311417\pi\) | |||||||
\(684\) | −2.32577 | + | 4.02834i | −0.0889279 | + | 0.154028i | ||||
\(685\) | 0.404082 | − | 4.00000i | 0.0154392 | − | 0.152832i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | − | 46.8990i | − | 1.78931i | ||||||
\(688\) | 0.778539 | + | 0.449490i | 0.0296815 | + | 0.0171366i | ||||
\(689\) | 24.2474 | + | 41.9978i | 0.923754 | + | 1.59999i | ||||
\(690\) | 14.4794 | − | 6.51687i | 0.551221 | − | 0.248093i | ||||
\(691\) | 10.5732 | − | 18.3133i | 0.402224 | − | 0.696672i | −0.591770 | − | 0.806107i | \(-0.701571\pi\) |
0.993994 | + | 0.109434i | \(0.0349040\pi\) | |||||||
\(692\) | − | 6.24745i | − | 0.237492i | ||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 28.8990 | 1.09699 | ||||||||
\(695\) | 2.02653 | − | 2.81311i | 0.0768706 | − | 0.106707i | ||||
\(696\) | 8.44949 | + | 14.6349i | 0.320277 | + | 0.554736i | ||||
\(697\) | 1.90702 | − | 1.10102i | 0.0722337 | − | 0.0417041i | ||||
\(698\) | 7.31747 | + | 4.22474i | 0.276970 | + | 0.159909i | ||||
\(699\) | −72.9898 | −2.76073 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 11.3031 | 0.426911 | 0.213455 | − | 0.976953i | \(-0.431528\pi\) | ||||
0.213455 | + | 0.976953i | \(0.431528\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −2.68556 | + | 1.55051i | −0.101288 | + | 0.0584786i | ||||
\(704\) | −2.44949 | − | 4.24264i | −0.0923186 | − | 0.159901i | ||||
\(705\) | −28.4901 | + | 39.5483i | −1.07300 | + | 1.48948i | ||||
\(706\) | 22.8990 | 0.861814 | ||||||||
\(707\) | 0 | 0 | ||||||||
\(708\) | 3.79796i | 0.142736i | ||||||||
\(709\) | −14.1464 | + | 24.5023i | −0.531280 | + | 0.920204i | 0.468053 | + | 0.883700i | \(0.344956\pi\) |
−0.999334 | + | 0.0365041i | \(0.988378\pi\) | |||||||
\(710\) | 2.24504 | − | 1.01045i | 0.0842550 | − | 0.0379214i | ||||
\(711\) | −10.3485 | − | 17.9241i | −0.388098 | − | 0.672205i | ||||
\(712\) | −8.66025 | − | 5.00000i | −0.324557 | − | 0.187383i | ||||
\(713\) | − | 25.7980i | − | 0.966141i | ||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 4.89898 | − | 48.4949i | 0.183211 | − | 1.81361i | ||||
\(716\) | −6.89898 | + | 11.9494i | −0.257827 | + | 0.446569i | ||||
\(717\) | 13.1565 | − | 7.59592i | 0.491339 | − | 0.283675i | ||||
\(718\) | 23.8988 | − | 13.7980i | 0.891894 | − | 0.514935i | ||||
\(719\) | 2.24745 | − | 3.89270i | 0.0838157 | − | 0.145173i | −0.821070 | − | 0.570827i | \(-0.806623\pi\) |
0.904886 | + | 0.425654i | \(0.139956\pi\) | |||||||
\(720\) | 6.67423 | + | 0.674235i | 0.248734 | + | 0.0251272i | ||||
\(721\) | 0 | 0 | ||||||||
\(722\) | − | 16.5959i | − | 0.617636i | ||||||
\(723\) | −18.4490 | − | 10.6515i | −0.686125 | − | 0.396135i | ||||
\(724\) | 5.12372 | + | 8.87455i | 0.190422 | + | 0.329820i | ||||
\(725\) | 10.9243 | + | 32.7194i | 0.405718 | + | 1.21517i | ||||
\(726\) | 15.9217 | − | 27.5772i | 0.590909 | − | 1.02348i | ||||
\(727\) | 22.6969i | 0.841783i | 0.907111 | + | 0.420891i | \(0.138283\pi\) | ||||
−0.907111 | + | 0.420891i | \(0.861717\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 27.0000 | 1.00000 | ||||||||
\(730\) | 3.78899 | − | 5.25966i | 0.140237 | − | 0.194669i | ||||
\(731\) | −0.898979 | − | 1.55708i | −0.0332500 | − | 0.0575906i | ||||
\(732\) | 7.53177 | − | 4.34847i | 0.278382 | − | 0.160724i | ||||
\(733\) | 34.3304 | + | 19.8207i | 1.26802 | + | 0.732093i | 0.974613 | − | 0.223894i | \(-0.0718770\pi\) |
0.293409 | + | 0.955987i | \(0.405210\pi\) | |||||||
\(734\) | −32.0000 | −1.18114 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −2.89898 | −0.106858 | ||||||||
\(737\) | 33.9411 | + | 19.5959i | 1.25024 | + | 0.721825i | ||||
\(738\) | −2.86054 | + | 1.65153i | −0.105298 | + | 0.0607937i | ||||
\(739\) | 2.24745 | + | 3.89270i | 0.0826737 | + | 0.143195i | 0.904398 | − | 0.426691i | \(-0.140321\pi\) |
−0.821724 | + | 0.569886i | \(0.806987\pi\) | |||||||
\(740\) | 3.62863 | + | 2.61401i | 0.133391 | + | 0.0960931i | ||||
\(741\) | 16.8990 | 0.620800 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | − | 44.6969i | − | 1.63977i | −0.572527 | − | 0.819886i | \(-0.694037\pi\) | ||
0.572527 | − | 0.819886i | \(-0.305963\pi\) | |||||||
\(744\) | 10.8990 | − | 18.8776i | 0.399576 | − | 0.692086i | ||||
\(745\) | 3.48553 | + | 7.74426i | 0.127700 | + | 0.283728i | ||||
\(746\) | −2.34847 | − | 4.06767i | −0.0859836 | − | 0.148928i | ||||
\(747\) | 6.36396 | + | 3.67423i | 0.232845 | + | 0.134433i | ||||
\(748\) | 9.79796i | 0.358249i | ||||||||
\(749\) | 0 | 0 | ||||||||
\(750\) | 26.1464 | + | 8.14643i | 0.954733 | + | 0.297465i | ||||
\(751\) | 20.8990 | − | 36.1981i | 0.762615 | − | 1.32089i | −0.178884 | − | 0.983870i | \(-0.557249\pi\) |
0.941499 | − | 0.337017i | \(-0.109418\pi\) | |||||||
\(752\) | 7.70674 | − | 4.44949i | 0.281036 | − | 0.162256i | ||||
\(753\) | 13.6814 | − | 7.89898i | 0.498579 | − | 0.287855i | ||||
\(754\) | 15.3485 | − | 26.5843i | 0.558958 | − | 0.968144i | ||||
\(755\) | −43.5959 | − | 4.40408i | −1.58662 | − | 0.160281i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 51.7980i | 1.88263i | 0.337531 | + | 0.941314i | \(0.390408\pi\) | ||||
−0.337531 | + | 0.941314i | \(0.609592\pi\) | |||||||
\(758\) | 26.5843 | + | 15.3485i | 0.965586 | + | 0.557482i | ||||
\(759\) | −17.3939 | − | 30.1271i | −0.631358 | − | 1.09354i | ||||
\(760\) | 3.16158 | − | 1.42296i | 0.114683 | − | 0.0516162i | ||||
\(761\) | −10.5505 | + | 18.2740i | −0.382456 | + | 0.662433i | −0.991413 | − | 0.130771i | \(-0.958255\pi\) |
0.608957 | + | 0.793203i | \(0.291588\pi\) | |||||||
\(762\) | − | 36.4949i | − | 1.32207i | ||||||
\(763\) | 0 | 0 | ||||||||
\(764\) | −12.6969 | −0.459359 | ||||||||
\(765\) | −10.8859 | − | 7.84204i | −0.393580 | − | 0.283530i | ||||
\(766\) | 3.55051 | + | 6.14966i | 0.128285 | + | 0.222196i | ||||
\(767\) | 5.97469 | − | 3.44949i | 0.215734 | − | 0.124554i | ||||
\(768\) | −2.12132 | − | 1.22474i | −0.0765466 | − | 0.0441942i | ||||
\(769\) | −40.6969 | −1.46757 | −0.733785 | − | 0.679382i | \(-0.762248\pi\) | ||||
−0.733785 | + | 0.679382i | \(0.762248\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 21.3031 | 0.767211 | ||||||||
\(772\) | −18.7026 | − | 10.7980i | −0.673122 | − | 0.388627i | ||||
\(773\) | −1.16781 | + | 0.674235i | −0.0420032 | + | 0.0242505i | −0.520855 | − | 0.853645i | \(-0.674387\pi\) |
0.478851 | + | 0.877896i | \(0.341053\pi\) | |||||||
\(774\) | 1.34847 | + | 2.33562i | 0.0484697 | + | 0.0839520i | ||||
\(775\) | 29.5047 | − | 33.3057i | 1.05984 | − | 1.19638i | ||||
\(776\) | 15.7980 | 0.567114 | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | − | 13.1010i | − | 0.469694i | ||||||
\(779\) | −0.853572 | + | 1.47843i | −0.0305824 | + | 0.0529702i | ||||
\(780\) | −10.0024 | − | 22.2237i | −0.358144 | − | 0.795734i | ||||
\(781\) | −2.69694 | − | 4.67123i | −0.0965040 | − | 0.167150i | ||||
\(782\) | 5.02118 | + | 2.89898i | 0.179557 | + | 0.103667i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 0.797959 | − | 7.89898i | 0.0284804 | − | 0.281927i | ||||
\(786\) | 7.89898 | − | 13.6814i | 0.281747 | − | 0.488001i | ||||
\(787\) | 43.6905 | − | 25.2247i | 1.55740 | − | 0.899165i | 0.559895 | − | 0.828564i | \(-0.310841\pi\) |
0.997505 | − | 0.0706014i | \(-0.0224918\pi\) | |||||||
\(788\) | 16.3670 | − | 9.44949i | 0.583050 | − | 0.336624i | ||||
\(789\) | 12.0000 | − | 20.7846i | 0.427211 | − | 0.739952i | ||||
\(790\) | −1.55051 | + | 15.3485i | −0.0551647 | + | 0.546074i | ||||
\(791\) | 0 | 0 | ||||||||
\(792\) | − | 14.6969i | − | 0.522233i | ||||||
\(793\) | −13.6814 | − | 7.89898i | −0.485842 | − | 0.280501i | ||||
\(794\) | −1.32577 | − | 2.29629i | −0.0470497 | − | 0.0814924i | ||||
\(795\) | 24.5008 | + | 54.4366i | 0.868953 | + | 1.93067i | ||||
\(796\) | 8.44949 | − | 14.6349i | 0.299484 | − | 0.518722i | ||||
\(797\) | − | 0.944387i | − | 0.0334519i | −0.999860 | − | 0.0167260i | \(-0.994676\pi\) | ||
0.999860 | − | 0.0167260i | \(-0.00532429\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −17.7980 | −0.629647 | ||||||||
\(800\) | −3.74264 | − | 3.31552i | −0.132322 | − | 0.117221i | ||||
\(801\) | −15.0000 | − | 25.9808i | −0.529999 | − | 0.917985i | ||||
\(802\) | −25.4558 | + | 14.6969i | −0.898877 | + | 0.518967i | ||||
\(803\) | −12.2993 | − | 7.10102i | −0.434034 | − | 0.250590i | ||||
\(804\) | 19.5959 | 0.691095 | ||||||||
\(805\) | 0 | 0 | ||||||||
\(806\) | −39.5959 | −1.39471 | ||||||||
\(807\) | −40.6157 | − | 23.4495i | −1.42974 | − | 0.825461i | ||||
\(808\) | 3.07483 | − | 1.77526i | 0.108172 | − | 0.0624533i | ||||
\(809\) | 23.7980 | + | 41.2193i | 0.836692 | + | 1.44919i | 0.892646 | + | 0.450759i | \(0.148847\pi\) |
−0.0559539 | + | 0.998433i | \(0.517820\pi\) | |||||||
\(810\) | −16.3288 | − | 11.7631i | −0.573736 | − | 0.413312i | ||||
\(811\) | −14.9444 | −0.524768 | −0.262384 | − | 0.964963i | \(-0.584509\pi\) | ||||
−0.262384 | + | 0.964963i | \(0.584509\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | − | 29.3939i | − | 1.03089i | ||||||
\(814\) | 4.89898 | − | 8.48528i | 0.171709 | − | 0.297409i | ||||
\(815\) | 14.4794 | − | 6.51687i | 0.507191 | − | 0.228276i | ||||
\(816\) | 2.44949 | + | 4.24264i | 0.0857493 | + | 0.148522i | ||||
\(817\) | 1.20713 | + | 0.696938i | 0.0422322 | + | 0.0243828i | ||||
\(818\) | 34.4949i | 1.20609i | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 2.44949 | + | 0.247449i | 0.0855399 | + | 0.00864128i | ||||
\(821\) | −4.10102 | + | 7.10318i | −0.143127 | + | 0.247903i | −0.928672 | − | 0.370901i | \(-0.879049\pi\) |
0.785546 | + | 0.618803i | \(0.212382\pi\) | |||||||
\(822\) | −3.81405 | + | 2.20204i | −0.133030 | + | 0.0768050i | ||||
\(823\) | −33.9411 | + | 19.5959i | −1.18311 | + | 0.683071i | −0.956733 | − | 0.290968i | \(-0.906023\pi\) |
−0.226381 | + | 0.974039i | \(0.572689\pi\) | |||||||
\(824\) | 6.44949 | − | 11.1708i | 0.224679 | − | 0.389155i | ||||
\(825\) | 12.0000 | − | 58.7878i | 0.417786 | − | 2.04673i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 15.5959i | 0.542323i | 0.962534 | + | 0.271162i | \(0.0874078\pi\) | ||||
−0.962534 | + | 0.271162i | \(0.912592\pi\) | |||||||
\(828\) | −7.53177 | − | 4.34847i | −0.261747 | − | 0.151120i | ||||
\(829\) | 21.8207 | + | 37.7945i | 0.757863 | + | 1.31266i | 0.943938 | + | 0.330122i | \(0.107090\pi\) |
−0.186075 | + | 0.982535i | \(0.559577\pi\) | |||||||
\(830\) | −2.24799 | − | 4.99465i | −0.0780288 | − | 0.173367i | ||||
\(831\) | 18.2474 | − | 31.6055i | 0.632997 | − | 1.09638i | ||||
\(832\) | 4.44949i | 0.154258i | ||||||||
\(833\) | 0 | 0 | ||||||||
\(834\) | −3.79796 | −0.131513 | ||||||||
\(835\) | −8.88828 | − | 6.40300i | −0.307592 | − | 0.221585i | ||||
\(836\) | −3.79796 | − | 6.57826i | −0.131355 | − | 0.227514i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 1.34278 | + | 0.775255i | 0.0463856 | + | 0.0267807i | ||||
\(839\) | 36.8990 | 1.27389 | 0.636947 | − | 0.770907i | \(-0.280197\pi\) | ||||
0.636947 | + | 0.770907i | \(0.280197\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 18.5959 | 0.641239 | ||||||||
\(842\) | 3.63907 | + | 2.10102i | 0.125411 | + | 0.0724059i | ||||
\(843\) | −38.1838 | + | 22.0454i | −1.31512 | + | 0.759284i | ||||
\(844\) | 6.00000 | + | 10.3923i | 0.206529 | + | 0.357718i | ||||
\(845\) | −8.88498 | + | 12.3336i | −0.305653 | + | 0.424290i | ||||
\(846\) | 26.6969 | 0.917860 | ||||||||
\(847\) | 0 | 0 | ||||||||
\(848\) | − | 10.8990i | − | 0.374272i | ||||||
\(849\) | −4.59592 | + | 7.96036i | −0.157731 | + | 0.273199i | ||||
\(850\) | 3.16693 | + | 9.48528i | 0.108625 | + | 0.325342i | ||||
\(851\) | −2.89898 | − | 5.02118i | −0.0993757 | − | 0.172124i | ||||
\(852\) | −2.33562 | − | 1.34847i | −0.0800169 | − | 0.0461978i | ||||
\(853\) | 33.8434i | 1.15877i | 0.815052 | + | 0.579387i | \(0.196708\pi\) | ||||
−0.815052 | + | 0.579387i | \(0.803292\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 10.3485 | + | 1.04541i | 0.353910 | + | 0.0357522i | ||||
\(856\) | −4.00000 | + | 6.92820i | −0.136717 | + | 0.236801i | ||||
\(857\) | −46.0655 | + | 26.5959i | −1.57357 | + | 0.908499i | −0.577840 | + | 0.816150i | \(0.696104\pi\) |
−0.995727 | + | 0.0923493i | \(0.970562\pi\) | |||||||
\(858\) | −46.2405 | + | 26.6969i | −1.57862 | + | 0.911418i | ||||
\(859\) | −26.8207 | + | 46.4548i | −0.915109 | + | 1.58502i | −0.108368 | + | 0.994111i | \(0.534562\pi\) |
−0.806741 | + | 0.590905i | \(0.798771\pi\) | |||||||
\(860\) | 0.202041 | − | 2.00000i | 0.00688954 | − | 0.0681994i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | − | 1.79796i | − | 0.0612387i | ||||||
\(863\) | 39.3123 | + | 22.6969i | 1.33820 | + | 0.772613i | 0.986541 | − | 0.163514i | \(-0.0522828\pi\) |
0.351664 | + | 0.936126i | \(0.385616\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −12.7389 | + | 5.73352i | −0.433136 | + | 0.194945i | ||||
\(866\) | 0.101021 | − | 0.174973i | 0.00343282 | − | 0.00594581i | ||||
\(867\) | 31.8434i | 1.08146i | ||||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 33.7980 | 1.14652 | ||||||||
\(870\) | 22.0871 | − | 30.6600i | 0.748822 | − | 1.03947i | ||||
\(871\) | −17.7980 | − | 30.8270i | −0.603061 | − | 1.04453i | ||||
\(872\) | 5.97469 | − | 3.44949i | 0.202329 | − | 0.116814i | ||||
\(873\) | 41.0443 | + | 23.6969i | 1.38914 | + | 0.802020i | ||||
\(874\) | −4.49490 | −0.152042 | ||||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | −7.10102 | −0.239921 | ||||||||
\(877\) | −34.1161 | − | 19.6969i | −1.15202 | − | 0.665118i | −0.202640 | − | 0.979253i | \(-0.564952\pi\) |
−0.949378 | + | 0.314135i | \(0.898286\pi\) | |||||||
\(878\) | −18.5276 | + | 10.6969i | −0.625278 | + | 0.361004i | ||||
\(879\) | −22.3485 | − | 38.7087i | −0.753795 | − | 1.30561i | ||||
\(880\) | −6.40300 | + | 8.88828i | −0.215845 | + | 0.299624i | ||||
\(881\) | −8.20204 | −0.276334 | −0.138167 | − | 0.990409i | \(-0.544121\pi\) | ||||
−0.138167 | + | 0.990409i | \(0.544121\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 22.2020i | 0.747158i | 0.927598 | + | 0.373579i | \(0.121870\pi\) | ||||
−0.927598 | + | 0.373579i | \(0.878130\pi\) | |||||||
\(884\) | 4.44949 | − | 7.70674i | 0.149653 | − | 0.259206i | ||||
\(885\) | 7.74426 | − | 3.48553i | 0.260320 | − | 0.117165i | ||||
\(886\) | 4.89898 | + | 8.48528i | 0.164584 | + | 0.285069i | ||||
\(887\) | −2.33562 | − | 1.34847i | −0.0784224 | − | 0.0452772i | 0.460276 | − | 0.887776i | \(-0.347750\pi\) |
−0.538698 | + | 0.842499i | \(0.681084\pi\) | |||||||
\(888\) | − | 4.89898i | − | 0.164399i | ||||||
\(889\) | 0 | 0 | ||||||||
\(890\) | −2.24745 | + | 22.2474i | −0.0753347 | + | 0.745736i | ||||
\(891\) | −22.0454 | + | 38.1838i | −0.738549 | + | 1.27920i | ||||
\(892\) | −3.46410 | + | 2.00000i | −0.115987 | + | 0.0669650i | ||||
\(893\) | 11.9494 | − | 6.89898i | 0.399871 | − | 0.230866i | ||||
\(894\) | 4.65153 | − | 8.05669i | 0.155570 | − | 0.269456i | ||||
\(895\) | 30.6969 | + | 3.10102i | 1.02609 | + | 0.103656i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 31.5959i | 1.05496i | ||||||||
\(898\) | −8.66025 | − | 5.00000i | −0.288996 | − | 0.166852i | ||||
\(899\) | −30.6969 | − | 53.1687i | −1.02380 | − | 1.77327i | ||||
\(900\) | −4.75039 | − | 14.2279i | −0.158346 | − | 0.474264i | ||||
\(901\) | −10.8990 | + | 18.8776i | −0.363098 | + | 0.628904i | ||||
\(902\) | − | 5.39388i | − | 0.179596i | ||||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 19.7980 | 0.658470 | ||||||||
\(905\) | 13.3935 | − | 18.5921i | 0.445215 | − | 0.618022i | ||||
\(906\) | 24.0000 | + | 41.5692i | 0.797347 | + | 1.38104i | ||||
\(907\) | 36.1981 | − | 20.8990i | 1.20194 | − | 0.693939i | 0.240952 | − | 0.970537i | \(-0.422540\pi\) |
0.960986 | + | 0.276598i | \(0.0892070\pi\) | |||||||
\(908\) | 6.36396 | + | 3.67423i | 0.211195 | + | 0.121934i | ||||
\(909\) | 10.6515 | 0.353289 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −35.5959 | −1.17935 | −0.589673 | − | 0.807642i | \(-0.700743\pi\) | ||||
−0.589673 | + | 0.807642i | \(0.700743\pi\) | |||||||
\(912\) | −3.28913 | − | 1.89898i | −0.108914 | − | 0.0628815i | ||||
\(913\) | −10.3923 | + | 6.00000i | −0.343935 | + | 0.198571i | ||||
\(914\) | −14.7980 | − | 25.6308i | −0.489473 | − | 0.847792i | ||||
\(915\) | −15.7790 | − | 11.3670i | −0.521637 | − | 0.375780i | ||||
\(916\) | 19.1464 | 0.632616 | ||||||||
\(917\) | 0 | 0 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −13.4495 | + | 23.2952i | −0.443658 | + | 0.768438i | −0.997958 | − | 0.0638793i | \(-0.979653\pi\) |
0.554300 | + | 0.832317i | \(0.312986\pi\) | |||||||
\(920\) | 2.66050 | + | 5.91119i | 0.0877142 | + | 0.194886i | ||||
\(921\) | −24.7980 | − | 42.9513i | −0.817121 | − | 1.41529i | ||||
\(922\) | 15.0242 | + | 8.67423i | 0.494796 | + | 0.285671i | ||||
\(923\) | 4.89898i | 0.161252i | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 2.00000 | − | 9.79796i | 0.0657596 | − | 0.322155i | ||||
\(926\) | 1.79796 | − | 3.11416i | 0.0590846 | − | 0.102338i | ||||
\(927\) | 33.5125 | − | 19.3485i | 1.10070 | − | 0.635487i | ||||
\(928\) | −5.97469 | + | 3.44949i | −0.196129 | + | 0.113235i | ||||
\(929\) | 14.1464 | − | 24.5023i | 0.464129 | − | 0.803895i | −0.535033 | − | 0.844831i | \(-0.679701\pi\) |
0.999162 | + | 0.0409360i | \(0.0130340\pi\) | |||||||
\(930\) | −48.4949 | − | 4.89898i | −1.59021 | − | 0.160644i | ||||
\(931\) | 0 | 0 | ||||||||
\(932\) | − | 29.7980i | − | 0.976065i | ||||||
\(933\) | 25.4558 | + | 14.6969i | 0.833387 | + | 0.481156i | ||||
\(934\) | 5.22474 | + | 9.04952i | 0.170959 | + | 0.296109i | ||||
\(935\) | 19.9786 | − | 8.99196i | 0.653370 | − | 0.294068i | ||||
\(936\) | −6.67423 | + | 11.5601i | −0.218154 | + | 0.377854i | ||||
\(937\) | − | 41.1010i | − | 1.34271i | −0.741135 | − | 0.671356i | \(-0.765712\pi\) | ||
0.741135 | − | 0.671356i | \(-0.234288\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −52.8990 | −1.72629 | ||||||||
\(940\) | −16.1455 | − | 11.6310i | −0.526609 | − | 0.379362i | ||||
\(941\) | −9.77526 | − | 16.9312i | −0.318664 | − | 0.551943i | 0.661545 | − | 0.749905i | \(-0.269901\pi\) |
−0.980210 | + | 0.197963i | \(0.936568\pi\) | |||||||
\(942\) | −7.53177 | + | 4.34847i | −0.245398 | + | 0.141681i | ||||
\(943\) | −2.76421 | − | 1.59592i | −0.0900151 | − | 0.0519702i | ||||
\(944\) | −1.55051 | −0.0504648 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −4.40408 | −0.143189 | ||||||||
\(947\) | 38.1838 | + | 22.0454i | 1.24081 | + | 0.716379i | 0.969258 | − | 0.246046i | \(-0.0791313\pi\) |
0.271547 | + | 0.962425i | \(0.412465\pi\) | |||||||
\(948\) | 14.6349 | − | 8.44949i | 0.475321 | − | 0.274427i | ||||
\(949\) | 6.44949 | + | 11.1708i | 0.209359 | + | 0.362621i | ||||
\(950\) | −5.80300 | − | 5.14074i | −0.188274 | − | 0.166788i | ||||
\(951\) | −55.1010 | −1.78677 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 2.20204i | 0.0713311i | 0.999364 | + | 0.0356656i | \(0.0113551\pi\) | ||||
−0.999364 | + | 0.0356656i | \(0.988645\pi\) | |||||||
\(954\) | 16.3485 | − | 28.3164i | 0.529301 | − | 0.916777i | ||||
\(955\) | 11.6525 | + | 25.8898i | 0.377065 | + | 0.837774i | ||||
\(956\) | 3.10102 | + | 5.37113i | 0.100294 | + | 0.173715i | ||||
\(957\) | −71.6963 | − | 41.3939i | −2.31761 | − | 1.33807i | ||||
\(958\) | 9.30306i | 0.300568i | ||||||||
\(959\) | 0 | 0 | ||||||||
\(960\) | −0.550510 | + | 5.44949i | −0.0177676 | + | 0.175882i | ||||
\(961\) | −24.0959 | + | 41.7354i | −0.777288 | + | 1.34630i | ||||
\(962\) | −7.70674 | + | 4.44949i | −0.248475 | + | 0.143457i | ||||
\(963\) | −20.7846 | + | 12.0000i | −0.669775 | + | 0.386695i | ||||
\(964\) | 4.34847 | − | 7.53177i | 0.140055 | − | 0.242582i | ||||
\(965\) | −4.85357 | + | 48.0454i | −0.156242 | + | 1.54664i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 36.2929i | 1.16710i | 0.812077 | + | 0.583550i | \(0.198337\pi\) | ||||
−0.812077 | + | 0.583550i | \(0.801663\pi\) | |||||||
\(968\) | 11.2583 | + | 6.50000i | 0.361856 | + | 0.208918i | ||||
\(969\) | 3.79796 | + | 6.57826i | 0.122008 | + | 0.211324i | ||||
\(970\) | −14.4984 | − | 32.2130i | −0.465515 | − | 1.03430i | ||||
\(971\) | −4.77526 | + | 8.27098i | −0.153245 | + | 0.265429i | −0.932419 | − | 0.361380i | \(-0.882306\pi\) |
0.779173 | + | 0.626808i | \(0.215639\pi\) | |||||||
\(972\) | 22.0454i | 0.707107i | ||||||||
\(973\) | 0 | 0 | ||||||||
\(974\) | −7.30306 | −0.234005 | ||||||||
\(975\) | −36.1357 | + | 40.7910i | −1.15727 | + | 1.30636i | ||||
\(976\) | 1.77526 | + | 3.07483i | 0.0568245 | + | 0.0984230i | ||||
\(977\) | 25.4558 | − | 14.6969i | 0.814405 | − | 0.470197i | −0.0340785 | − | 0.999419i | \(-0.510850\pi\) |
0.848483 | + | 0.529222i | \(0.177516\pi\) | |||||||
\(978\) | −15.0635 | − | 8.69694i | −0.481679 | − | 0.278097i | ||||
\(979\) | 48.9898 | 1.56572 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 20.6969 | 0.660802 | ||||||||
\(982\) | −16.9706 | − | 9.79796i | −0.541552 | − | 0.312665i | ||||
\(983\) | 11.5208 | − | 6.65153i | 0.367456 | − | 0.212151i | −0.304890 | − | 0.952387i | \(-0.598620\pi\) |
0.672347 | + | 0.740237i | \(0.265287\pi\) | |||||||
\(984\) | −1.34847 | − | 2.33562i | −0.0429876 | − | 0.0744568i | ||||
\(985\) | −34.2887 | − | 24.7011i | −1.09253 | − | 0.787043i | ||||
\(986\) | 13.7980 | 0.439417 | ||||||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 6.89898i | 0.219486i | ||||||||
\(989\) | −1.30306 | + | 2.25697i | −0.0414349 | + | 0.0717674i | ||||
\(990\) | −29.9679 | + | 13.4879i | −0.952443 | + | 0.428675i | ||||
\(991\) | −15.6515 | − | 27.1092i | −0.497187 | − | 0.861154i | 0.502807 | − | 0.864398i | \(-0.332300\pi\) |
−0.999995 | + | 0.00324483i | \(0.998967\pi\) | |||||||
\(992\) | 7.70674 | + | 4.44949i | 0.244689 | + | 0.141271i | ||||
\(993\) | − | 45.7980i | − | 1.45335i | ||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −37.5959 | − | 3.79796i | −1.19187 | − | 0.120403i | ||||
\(996\) | −3.00000 | + | 5.19615i | −0.0950586 | + | 0.164646i | ||||
\(997\) | 49.6652 | − | 28.6742i | 1.57291 | − | 0.908122i | 0.577104 | − | 0.816671i | \(-0.304183\pi\) |
0.995810 | − | 0.0914515i | \(-0.0291507\pi\) | |||||||
\(998\) | −5.37113 | + | 3.10102i | −0.170020 | + | 0.0981611i | ||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))