Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [378,3,Mod(53,378)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(378, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 4]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("378.53");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 378 = 2 \cdot 3^{3} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 378.s (of order \(6\), 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: | \(10.2997539928\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{6})\) |
Coefficient field: | 8.0.621801639936.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: |
\( x^{8} - 4x^{7} - 34x^{6} + 116x^{5} + 413x^{4} - 1024x^{3} - 1664x^{2} + 2196x + 4467 \)
|
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 2^{2} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 107.1 | ||
Root | \(4.76613 - 0.707107i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 378.107 |
Dual form | 378.3.s.d.53.1 |
$q$-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 \(\left(\mathbb{Z}/378\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(325\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.22474 | − | 0.707107i | −0.612372 | − | 0.353553i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 1.00000 | + | 1.73205i | 0.250000 | + | 0.433013i | ||||
\(5\) | −4.33729 | − | 2.50413i | −0.867458 | − | 0.500827i | −0.000955133 | − | 1.00000i | \(-0.500304\pi\) |
−0.866503 | + | 0.499173i | \(0.833637\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0.0413813 | + | 6.99988i | 0.00591161 | + | 0.999983i | ||||
\(8\) | − | 2.82843i | − | 0.353553i | ||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 3.54138 | + | 6.13385i | 0.354138 | + | 0.613385i | ||||
\(11\) | 1.32611 | − | 0.765629i | 0.120555 | − | 0.0696026i | −0.438510 | − | 0.898726i | \(-0.644494\pi\) |
0.559065 | + | 0.829124i | \(0.311160\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 0.917237 | 0.0705567 | 0.0352784 | − | 0.999378i | \(-0.488768\pi\) | ||||
0.0352784 | + | 0.999378i | \(0.488768\pi\) | |||||||
\(14\) | 4.89898 | − | 8.60233i | 0.349927 | − | 0.614452i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −2.00000 | + | 3.46410i | −0.125000 | + | 0.216506i | ||||
\(17\) | 14.3380 | − | 8.27803i | 0.843410 | − | 0.486943i | −0.0150117 | − | 0.999887i | \(-0.504779\pi\) |
0.858422 | + | 0.512944i | \(0.171445\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 6.50000 | − | 11.2583i | 0.342105 | − | 0.592544i | −0.642718 | − | 0.766103i | \(-0.722193\pi\) |
0.984823 | + | 0.173559i | \(0.0555267\pi\) | |||||||
\(20\) | − | 10.0165i | − | 0.500827i | ||||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −2.16553 | −0.0984330 | ||||||||
\(23\) | −10.3596 | − | 5.98115i | −0.450420 | − | 0.260050i | 0.257588 | − | 0.966255i | \(-0.417072\pi\) |
−0.708007 | + | 0.706205i | \(0.750406\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 0.0413813 | + | 0.0716745i | 0.00165525 | + | 0.00286698i | ||||
\(26\) | −1.12338 | − | 0.648585i | −0.0432070 | − | 0.0249456i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −12.0828 | + | 7.07155i | −0.431527 | + | 0.252555i | ||||
\(29\) | − | 33.5266i | − | 1.15609i | −0.816005 | − | 0.578045i | \(-0.803816\pi\) | ||
0.816005 | − | 0.578045i | \(-0.196184\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 8.66553 | + | 15.0091i | 0.279533 | + | 0.484165i | 0.971269 | − | 0.237985i | \(-0.0764870\pi\) |
−0.691736 | + | 0.722151i | \(0.743154\pi\) | |||||||
\(32\) | 4.89898 | − | 2.82843i | 0.153093 | − | 0.0883883i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −23.4138 | −0.688642 | ||||||||
\(35\) | 17.3492 | − | 30.4641i | 0.495690 | − | 0.870403i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 27.8724 | − | 48.2765i | 0.753309 | − | 1.30477i | −0.192902 | − | 0.981218i | \(-0.561790\pi\) |
0.946211 | − | 0.323551i | \(-0.104877\pi\) | |||||||
\(38\) | −15.9217 | + | 9.19239i | −0.418992 | + | 0.241905i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −7.08276 | + | 12.2677i | −0.177069 | + | 0.306693i | ||||
\(41\) | − | 6.53953i | − | 0.159501i | −0.996815 | − | 0.0797503i | \(-0.974588\pi\) | ||
0.996815 | − | 0.0797503i | \(-0.0254123\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 32.7449 | 0.761508 | 0.380754 | − | 0.924676i | \(-0.375664\pi\) | ||||
0.380754 | + | 0.924676i | \(0.375664\pi\) | |||||||
\(44\) | 2.65222 | + | 1.53126i | 0.0602776 | + | 0.0348013i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 8.45862 | + | 14.6508i | 0.183883 | + | 0.318495i | ||||
\(47\) | −46.3841 | − | 26.7799i | −0.986895 | − | 0.569784i | −0.0825503 | − | 0.996587i | \(-0.526307\pi\) |
−0.904345 | + | 0.426803i | \(0.859640\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −48.9966 | + | 0.579328i | −0.999930 | + | 0.0118230i | ||||
\(50\) | − | 0.117044i | − | 0.00234088i | ||||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 0.917237 | + | 1.58870i | 0.0176392 | + | 0.0305520i | ||||
\(53\) | 72.4078 | − | 41.8047i | 1.36618 | − | 0.788767i | 0.375746 | − | 0.926723i | \(-0.377386\pi\) |
0.990438 | + | 0.137955i | \(0.0440530\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −7.66895 | −0.139435 | ||||||||
\(56\) | 19.7986 | − | 0.117044i | 0.353547 | − | 0.00209007i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −23.7069 | + | 41.0616i | −0.408740 | + | 0.707958i | ||||
\(59\) | −41.4386 | + | 23.9246i | −0.702349 | + | 0.405501i | −0.808222 | − | 0.588878i | \(-0.799570\pi\) |
0.105873 | + | 0.994380i | \(0.466236\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 40.2897 | − | 69.7838i | 0.660486 | − | 1.14400i | −0.320002 | − | 0.947417i | \(-0.603683\pi\) |
0.980488 | − | 0.196579i | \(-0.0629832\pi\) | |||||||
\(62\) | − | 24.5098i | − | 0.395319i | ||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −8.00000 | −0.125000 | ||||||||
\(65\) | −3.97832 | − | 2.29689i | −0.0612050 | − | 0.0353367i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 1.21033 | + | 2.09636i | 0.0180646 | + | 0.0312889i | 0.874916 | − | 0.484274i | \(-0.160916\pi\) |
−0.856852 | + | 0.515563i | \(0.827583\pi\) | |||||||
\(68\) | 28.6759 | + | 16.5561i | 0.421705 | + | 0.243472i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −42.7897 | + | 25.0431i | −0.611281 | + | 0.357758i | ||||
\(71\) | − | 83.3216i | − | 1.17354i | −0.809753 | − | 0.586772i | \(-0.800399\pi\) | ||
0.809753 | − | 0.586772i | \(-0.199601\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −36.0414 | − | 62.4255i | −0.493718 | − | 0.855144i | 0.506256 | − | 0.862383i | \(-0.331029\pi\) |
−0.999974 | + | 0.00723922i | \(0.997696\pi\) | |||||||
\(74\) | −68.2732 | + | 39.4176i | −0.922611 | + | 0.532670i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 26.0000 | 0.342105 | ||||||||
\(77\) | 5.41418 | + | 9.25091i | 0.0703141 | + | 0.120142i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 61.1655 | − | 105.942i | 0.774247 | − | 1.34104i | −0.160969 | − | 0.986959i | \(-0.551462\pi\) |
0.935217 | − | 0.354076i | \(-0.115205\pi\) | |||||||
\(80\) | 17.3492 | − | 10.0165i | 0.216864 | − | 0.125207i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −4.62414 | + | 8.00925i | −0.0563920 | + | 0.0976738i | ||||
\(83\) | 158.860i | 1.91398i | 0.290126 | + | 0.956989i | \(0.406303\pi\) | ||||
−0.290126 | + | 0.956989i | \(0.593697\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −82.9172 | −0.975497 | ||||||||
\(86\) | −40.1041 | − | 23.1541i | −0.466327 | − | 0.269234i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −2.16553 | − | 3.75080i | −0.0246082 | − | 0.0426227i | ||||
\(89\) | 46.9922 | + | 27.1310i | 0.528003 | + | 0.304843i | 0.740203 | − | 0.672384i | \(-0.234729\pi\) |
−0.212200 | + | 0.977226i | \(0.568063\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 0.0379564 | + | 6.42055i | 0.000417104 | + | 0.0705555i | ||||
\(92\) | − | 23.9246i | − | 0.260050i | ||||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 37.8724 | + | 65.5970i | 0.402898 | + | 0.697840i | ||||
\(95\) | −56.3848 | + | 32.5538i | −0.593524 | + | 0.342671i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 12.0828 | 0.124565 | 0.0622823 | − | 0.998059i | \(-0.480162\pi\) | ||||
0.0622823 | + | 0.998059i | \(0.480162\pi\) | |||||||
\(98\) | 60.4180 | + | 33.9363i | 0.616510 | + | 0.346289i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −0.0827625 | + | 0.143349i | −0.000827625 | + | 0.00143349i | ||||
\(101\) | −157.468 | + | 90.9145i | −1.55909 | + | 0.900143i | −0.561750 | + | 0.827307i | \(0.689872\pi\) |
−0.997344 | + | 0.0728364i | \(0.976795\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 57.8724 | − | 100.238i | 0.561868 | − | 0.973184i | −0.435465 | − | 0.900206i | \(-0.643416\pi\) |
0.997333 | − | 0.0729788i | \(-0.0232506\pi\) | |||||||
\(104\) | − | 2.59434i | − | 0.0249456i | ||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −118.241 | −1.11549 | ||||||||
\(107\) | 148.186 | + | 85.5551i | 1.38491 | + | 0.799580i | 0.992736 | − | 0.120310i | \(-0.0383887\pi\) |
0.392177 | + | 0.919890i | \(0.371722\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 65.9586 | + | 114.244i | 0.605125 | + | 1.04811i | 0.992032 | + | 0.125988i | \(0.0402102\pi\) |
−0.386907 | + | 0.922119i | \(0.626456\pi\) | |||||||
\(110\) | 9.39251 | + | 5.42277i | 0.0853864 | + | 0.0492979i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −24.3311 | − | 13.8564i | −0.217242 | − | 0.123718i | ||||
\(113\) | 7.65629i | 0.0677548i | 0.999426 | + | 0.0338774i | \(0.0107856\pi\) | ||||
−0.999426 | + | 0.0338774i | \(0.989214\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 29.9552 | + | 51.8839i | 0.260480 | + | 0.451165i | ||||
\(116\) | 58.0698 | − | 33.5266i | 0.500602 | − | 0.289023i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 67.6689 | 0.573466 | ||||||||
\(119\) | 58.5385 | + | 100.022i | 0.491921 | + | 0.840517i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −59.3276 | + | 102.758i | −0.490311 | + | 0.849243i | ||||
\(122\) | −98.6891 | + | 56.9782i | −0.808927 | + | 0.467034i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −17.3311 | + | 30.0183i | −0.139767 | + | 0.242083i | ||||
\(125\) | 124.792i | 0.998338i | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −8.57934 | −0.0675538 | −0.0337769 | − | 0.999429i | \(-0.510754\pi\) | ||||
−0.0337769 | + | 0.999429i | \(0.510754\pi\) | |||||||
\(128\) | 9.79796 | + | 5.65685i | 0.0765466 | + | 0.0441942i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 3.24829 | + | 5.62620i | 0.0249868 | + | 0.0432785i | ||||
\(131\) | −60.9713 | − | 35.2018i | −0.465429 | − | 0.268716i | 0.248895 | − | 0.968530i | \(-0.419933\pi\) |
−0.714324 | + | 0.699815i | \(0.753266\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 79.0759 | + | 45.0333i | 0.594556 | + | 0.338596i | ||||
\(134\) | − | 3.42333i | − | 0.0255473i | ||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −23.4138 | − | 40.5539i | −0.172160 | − | 0.298191i | ||||
\(137\) | −58.4288 | + | 33.7339i | −0.426488 | + | 0.246233i | −0.697849 | − | 0.716245i | \(-0.745859\pi\) |
0.271362 | + | 0.962477i | \(0.412526\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 166.572 | 1.19836 | 0.599182 | − | 0.800613i | \(-0.295493\pi\) | ||||
0.599182 | + | 0.800613i | \(0.295493\pi\) | |||||||
\(140\) | 70.1145 | − | 0.414497i | 0.500818 | − | 0.00296069i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −58.9172 | + | 102.048i | −0.414910 | + | 0.718645i | ||||
\(143\) | 1.21636 | − | 0.702263i | 0.00850598 | − | 0.00491093i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −83.9552 | + | 145.415i | −0.579001 | + | 1.00286i | ||||
\(146\) | 101.940i | 0.698222i | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 111.490 | 0.753309 | ||||||||
\(149\) | 196.724 | + | 113.578i | 1.32029 | + | 0.762271i | 0.983775 | − | 0.179406i | \(-0.0574176\pi\) |
0.336517 | + | 0.941677i | \(0.390751\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 137.824 | + | 238.719i | 0.912743 | + | 1.58092i | 0.810172 | + | 0.586192i | \(0.199373\pi\) |
0.102571 | + | 0.994726i | \(0.467293\pi\) | |||||||
\(152\) | −31.8434 | − | 18.3848i | −0.209496 | − | 0.120952i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −0.0896122 | − | 15.1584i | −0.000581897 | − | 0.0984312i | ||||
\(155\) | − | 86.7986i | − | 0.559991i | ||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −99.6173 | − | 172.542i | −0.634505 | − | 1.09899i | −0.986620 | − | 0.163038i | \(-0.947871\pi\) |
0.352115 | − | 0.935957i | \(-0.385463\pi\) | |||||||
\(158\) | −149.824 | + | 86.5011i | −0.948255 | + | 0.547475i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −28.3311 | −0.177069 | ||||||||
\(161\) | 41.4386 | − | 72.7638i | 0.257383 | − | 0.451949i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 48.5000 | − | 84.0045i | 0.297546 | − | 0.515365i | −0.678028 | − | 0.735036i | \(-0.737165\pi\) |
0.975574 | + | 0.219671i | \(0.0704985\pi\) | |||||||
\(164\) | 11.3268 | − | 6.53953i | 0.0690658 | − | 0.0398752i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 112.331 | − | 194.563i | 0.676693 | − | 1.17207i | ||||
\(167\) | − | 21.6911i | − | 0.129887i | −0.997889 | − | 0.0649433i | \(-0.979313\pi\) | ||
0.997889 | − | 0.0649433i | \(-0.0206867\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −168.159 | −0.995022 | ||||||||
\(170\) | 101.552 | + | 58.6313i | 0.597367 | + | 0.344890i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 32.7449 | + | 56.7158i | 0.190377 | + | 0.329743i | ||||
\(173\) | −180.701 | − | 104.328i | −1.04451 | − | 0.603049i | −0.123404 | − | 0.992357i | \(-0.539381\pi\) |
−0.921108 | + | 0.389307i | \(0.872714\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −0.500000 | + | 0.292630i | −0.00285714 | + | 0.00167217i | ||||
\(176\) | 6.12503i | 0.0348013i | ||||||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −38.3690 | − | 66.4571i | −0.215556 | − | 0.373354i | ||||
\(179\) | −54.9489 | + | 31.7248i | −0.306977 | + | 0.177233i | −0.645573 | − | 0.763699i | \(-0.723381\pi\) |
0.338596 | + | 0.940932i | \(0.390048\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −212.311 | −1.17299 | −0.586493 | − | 0.809954i | \(-0.699492\pi\) | ||||
−0.586493 | + | 0.809954i | \(0.699492\pi\) | |||||||
\(182\) | 4.49353 | − | 7.89038i | 0.0246897 | − | 0.0433537i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −16.9172 | + | 29.3015i | −0.0919415 | + | 0.159247i | ||||
\(185\) | −241.782 | + | 139.593i | −1.30693 | + | 0.754555i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 12.6758 | − | 21.9551i | 0.0677850 | − | 0.117407i | ||||
\(188\) | − | 107.119i | − | 0.569784i | ||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 92.0759 | 0.484610 | ||||||||
\(191\) | −50.9706 | − | 29.4279i | −0.266862 | − | 0.154073i | 0.360599 | − | 0.932721i | \(-0.382572\pi\) |
−0.627461 | + | 0.778648i | \(0.715906\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −69.6173 | − | 120.581i | −0.360711 | − | 0.624770i | 0.627367 | − | 0.778724i | \(-0.284133\pi\) |
−0.988078 | + | 0.153954i | \(0.950799\pi\) | |||||||
\(194\) | −14.7983 | − | 8.54380i | −0.0762799 | − | 0.0440402i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −50.0000 | − | 84.2852i | −0.255102 | − | 0.430027i | ||||
\(197\) | − | 317.720i | − | 1.61279i | −0.591375 | − | 0.806396i | \(-0.701415\pi\) | ||
0.591375 | − | 0.806396i | \(-0.298585\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −124.869 | − | 216.279i | −0.627482 | − | 1.08683i | −0.988055 | − | 0.154100i | \(-0.950752\pi\) |
0.360573 | − | 0.932731i | \(-0.382581\pi\) | |||||||
\(200\) | 0.202726 | − | 0.117044i | 0.00101363 | − | 0.000585219i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 257.145 | 1.27299 | ||||||||
\(203\) | 234.682 | − | 1.38737i | 1.15607 | − | 0.00683436i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −16.3759 | + | 28.3638i | −0.0798822 | + | 0.138360i | ||||
\(206\) | −141.758 | + | 81.8440i | −0.688145 | + | 0.397301i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −1.83447 | + | 3.17740i | −0.00881959 | + | 0.0152760i | ||||
\(209\) | − | 19.9063i | − | 0.0952457i | ||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −112.248 | −0.531982 | −0.265991 | − | 0.963975i | \(-0.585699\pi\) | ||||
−0.265991 | + | 0.963975i | \(0.585699\pi\) | |||||||
\(212\) | 144.816 | + | 83.6093i | 0.683092 | + | 0.394384i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −120.993 | − | 209.566i | −0.565389 | − | 0.979282i | ||||
\(215\) | −142.024 | − | 81.9975i | −0.660576 | − | 0.381384i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −104.703 | + | 61.2787i | −0.482505 | + | 0.282390i | ||||
\(218\) | − | 186.559i | − | 0.855776i | ||||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −7.66895 | − | 13.2830i | −0.0348589 | − | 0.0603773i | ||||
\(221\) | 13.1513 | − | 7.59292i | 0.0595083 | − | 0.0343571i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 79.2346 | 0.355312 | 0.177656 | − | 0.984093i | \(-0.443149\pi\) | ||||
0.177656 | + | 0.984093i | \(0.443149\pi\) | |||||||
\(224\) | 20.0014 | + | 34.1752i | 0.0892918 | + | 0.152568i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 5.41381 | − | 9.37700i | 0.0239549 | − | 0.0414911i | ||||
\(227\) | 310.600 | − | 179.325i | 1.36828 | − | 0.789977i | 0.377572 | − | 0.925980i | \(-0.376759\pi\) |
0.990708 | + | 0.136003i | \(0.0434257\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −61.1689 | + | 105.948i | −0.267113 | + | 0.462654i | −0.968115 | − | 0.250506i | \(-0.919403\pi\) |
0.701002 | + | 0.713159i | \(0.252736\pi\) | |||||||
\(230\) | − | 84.7261i | − | 0.368374i | ||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −94.8276 | −0.408740 | ||||||||
\(233\) | 184.071 | + | 106.273i | 0.790003 | + | 0.456108i | 0.839964 | − | 0.542643i | \(-0.182576\pi\) |
−0.0499606 | + | 0.998751i | \(0.515910\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 134.121 | + | 232.304i | 0.570726 | + | 0.988527i | ||||
\(236\) | −82.8772 | − | 47.8492i | −0.351175 | − | 0.202751i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −0.968893 | − | 163.894i | −0.00407098 | − | 0.688630i | ||||
\(239\) | − | 342.762i | − | 1.43415i | −0.696997 | − | 0.717074i | \(-0.745481\pi\) | ||
0.696997 | − | 0.717074i | \(-0.254519\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −16.3724 | − | 28.3579i | −0.0679354 | − | 0.117668i | 0.830057 | − | 0.557679i | \(-0.188308\pi\) |
−0.897992 | + | 0.440011i | \(0.854975\pi\) | |||||||
\(242\) | 145.322 | − | 83.9019i | 0.600506 | − | 0.346702i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 161.159 | 0.660486 | ||||||||
\(245\) | 213.963 | + | 120.181i | 0.873318 | + | 0.490536i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 5.96204 | − | 10.3266i | 0.0241378 | − | 0.0418079i | ||||
\(248\) | 42.4522 | − | 24.5098i | 0.171178 | − | 0.0988299i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 88.2414 | − | 152.839i | 0.352966 | − | 0.611355i | ||||
\(251\) | 8.32425i | 0.0331643i | 0.999863 | + | 0.0165822i | \(0.00527851\pi\) | ||||
−0.999863 | + | 0.0165822i | \(0.994721\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −18.3174 | −0.0724006 | ||||||||
\(254\) | 10.5075 | + | 6.06651i | 0.0413681 | + | 0.0238839i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −8.00000 | − | 13.8564i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | −13.4806 | − | 7.78302i | −0.0524536 | − | 0.0302841i | 0.473544 | − | 0.880770i | \(-0.342975\pi\) |
−0.525997 | + | 0.850486i | \(0.676308\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 339.083 | + | 193.106i | 1.30920 | + | 0.745583i | ||||
\(260\) | − | 9.18754i | − | 0.0353367i | ||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 49.7828 | + | 86.2264i | 0.190011 | + | 0.329108i | ||||
\(263\) | −5.52394 | + | 3.18925i | −0.0210036 | + | 0.0121264i | −0.510465 | − | 0.859899i | \(-0.670527\pi\) |
0.489461 | + | 0.872025i | \(0.337193\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −418.738 | −1.58014 | ||||||||
\(266\) | −65.0045 | − | 111.069i | −0.244378 | − | 0.417554i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −2.42066 | + | 4.19271i | −0.00903232 | + | 0.0156444i | ||||
\(269\) | −299.243 | + | 172.768i | −1.11243 | + | 0.642261i | −0.939457 | − | 0.342666i | \(-0.888670\pi\) |
−0.172971 | + | 0.984927i | \(0.555337\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −109.214 | + | 189.164i | −0.403003 | + | 0.698021i | −0.994087 | − | 0.108589i | \(-0.965367\pi\) |
0.591084 | + | 0.806610i | \(0.298700\pi\) | |||||||
\(272\) | 66.2243i | 0.243472i | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 95.4138 | 0.348226 | ||||||||
\(275\) | 0.109752 | + | 0.0633654i | 0.000399098 | + | 0.000230420i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −65.3656 | − | 113.217i | −0.235977 | − | 0.408724i | 0.723579 | − | 0.690241i | \(-0.242496\pi\) |
−0.959556 | + | 0.281517i | \(0.909162\pi\) | |||||||
\(278\) | −204.009 | − | 117.785i | −0.733845 | − | 0.423685i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −86.1655 | − | 49.0708i | −0.307734 | − | 0.175253i | ||||
\(281\) | − | 430.516i | − | 1.53208i | −0.642790 | − | 0.766042i | \(-0.722223\pi\) | ||
0.642790 | − | 0.766042i | \(-0.277777\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 193.945 | + | 335.922i | 0.685318 | + | 1.18701i | 0.973337 | + | 0.229380i | \(0.0736700\pi\) |
−0.288019 | + | 0.957625i | \(0.592997\pi\) | |||||||
\(284\) | 144.317 | − | 83.3216i | 0.508159 | − | 0.293386i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −1.98630 | −0.00694511 | ||||||||
\(287\) | 45.7759 | − | 0.270614i | 0.159498 | − | 0.000942906i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −7.44834 | + | 12.9009i | −0.0257728 | + | 0.0446398i | ||||
\(290\) | 205.647 | − | 118.731i | 0.709129 | − | 0.409416i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 72.0828 | − | 124.851i | 0.246859 | − | 0.427572i | ||||
\(293\) | − | 397.726i | − | 1.35743i | −0.734404 | − | 0.678713i | \(-0.762538\pi\) | ||
0.734404 | − | 0.678713i | \(-0.237462\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 239.642 | 0.812344 | ||||||||
\(296\) | −136.546 | − | 78.8351i | −0.461306 | − | 0.266335i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −160.624 | − | 278.209i | −0.539007 | − | 0.933588i | ||||
\(299\) | −9.50226 | − | 5.48613i | −0.0317801 | − | 0.0183483i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 1.35502 | + | 229.210i | 0.00450174 | + | 0.761495i | ||||
\(302\) | − | 389.826i | − | 1.29081i | ||||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 26.0000 | + | 45.0333i | 0.0855263 | + | 0.148136i | ||||
\(305\) | −349.496 | + | 201.782i | −1.14589 | + | 0.661579i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −116.669 | −0.380029 | −0.190015 | − | 0.981781i | \(-0.560854\pi\) | ||||
−0.190015 | + | 0.981781i | \(0.560854\pi\) | |||||||
\(308\) | −10.6089 | + | 18.6286i | −0.0344444 | + | 0.0604823i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −61.3759 | + | 106.306i | −0.197987 | + | 0.342923i | ||||
\(311\) | −420.797 | + | 242.947i | −1.35305 | + | 0.781181i | −0.988675 | − | 0.150073i | \(-0.952049\pi\) |
−0.364370 | + | 0.931254i | \(0.618716\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 76.8311 | − | 133.075i | 0.245467 | − | 0.425161i | −0.716796 | − | 0.697283i | \(-0.754392\pi\) |
0.962263 | + | 0.272122i | \(0.0877255\pi\) | |||||||
\(314\) | 281.760i | 0.897326i | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 244.662 | 0.774247 | ||||||||
\(317\) | 83.8741 | + | 48.4247i | 0.264587 | + | 0.152759i | 0.626425 | − | 0.779482i | \(-0.284517\pi\) |
−0.361838 | + | 0.932241i | \(0.617851\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −25.6689 | − | 44.4599i | −0.0804669 | − | 0.139373i | ||||
\(320\) | 34.6983 | + | 20.0331i | 0.108432 | + | 0.0626034i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −102.203 | + | 59.8156i | −0.317402 | + | 0.185763i | ||||
\(323\) | − | 215.229i | − | 0.666343i | ||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 0.0379564 | + | 0.0657425i | 0.000116789 | + | 0.000202285i | ||||
\(326\) | −118.800 | + | 68.5894i | −0.364418 | + | 0.210397i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −18.4966 | −0.0563920 | ||||||||
\(329\) | 185.536 | − | 325.791i | 0.563940 | − | 0.990246i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 36.6344 | − | 63.4527i | 0.110678 | − | 0.191700i | −0.805366 | − | 0.592778i | \(-0.798031\pi\) |
0.916044 | + | 0.401078i | \(0.131364\pi\) | |||||||
\(332\) | −275.154 | + | 158.860i | −0.828776 | + | 0.478494i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −15.3379 | + | 26.5660i | −0.0459219 | + | 0.0795390i | ||||
\(335\) | − | 12.1233i | − | 0.0361890i | ||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −165.304 | −0.490515 | −0.245258 | − | 0.969458i | \(-0.578873\pi\) | ||||
−0.245258 | + | 0.969458i | \(0.578873\pi\) | |||||||
\(338\) | 205.951 | + | 118.906i | 0.609324 | + | 0.351793i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −82.9172 | − | 143.617i | −0.243874 | − | 0.422403i | ||||
\(341\) | 22.9828 | + | 13.2691i | 0.0673984 | + | 0.0389125i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −6.08276 | − | 342.946i | −0.0177340 | − | 0.999843i | ||||
\(344\) | − | 92.6165i | − | 0.269234i | ||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 147.541 | + | 255.549i | 0.426420 | + | 0.738581i | ||||
\(347\) | 181.558 | − | 104.823i | 0.523222 | − | 0.302082i | −0.215030 | − | 0.976607i | \(-0.568985\pi\) |
0.738252 | + | 0.674525i | \(0.235652\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −442.655 | −1.26835 | −0.634177 | − | 0.773188i | \(-0.718661\pi\) | ||||
−0.634177 | + | 0.773188i | \(0.718661\pi\) | |||||||
\(350\) | 0.819293 | − | 0.00484342i | 0.00234084 | − | 1.38384e-5i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 4.33105 | − | 7.50160i | 0.0123041 | − | 0.0213114i | ||||
\(353\) | 144.537 | − | 83.4483i | 0.409452 | − | 0.236397i | −0.281102 | − | 0.959678i | \(-0.590700\pi\) |
0.690554 | + | 0.723280i | \(0.257367\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −208.648 | + | 361.390i | −0.587742 | + | 1.01800i | ||||
\(356\) | 108.524i | 0.304843i | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 89.7312 | 0.250646 | ||||||||
\(359\) | 16.3523 | + | 9.44101i | 0.0455496 | + | 0.0262981i | 0.522602 | − | 0.852577i | \(-0.324961\pi\) |
−0.477052 | + | 0.878875i | \(0.658295\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 96.0000 | + | 166.277i | 0.265928 | + | 0.460601i | ||||
\(362\) | 260.026 | + | 150.126i | 0.718304 | + | 0.414713i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −11.0828 | + | 6.48629i | −0.0304471 | + | 0.0178195i | ||||
\(365\) | 361.010i | 0.989068i | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 196.110 | + | 339.673i | 0.534361 | + | 0.925540i | 0.999194 | + | 0.0401419i | \(0.0127810\pi\) |
−0.464833 | + | 0.885398i | \(0.653886\pi\) | |||||||
\(368\) | 41.4386 | − | 23.9246i | 0.112605 | − | 0.0650125i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 394.828 | 1.06710 | ||||||||
\(371\) | 295.624 | + | 505.116i | 0.796830 | + | 1.36150i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 277.811 | − | 481.182i | 0.744800 | − | 1.29003i | −0.205488 | − | 0.978660i | \(-0.565878\pi\) |
0.950288 | − | 0.311372i | \(-0.100789\pi\) | |||||||
\(374\) | −31.0492 | + | 17.9263i | −0.0830194 | + | 0.0479313i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −75.7449 | + | 131.194i | −0.201449 | + | 0.348920i | ||||
\(377\) | − | 30.7519i | − | 0.0815700i | ||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 433.552 | 1.14394 | 0.571968 | − | 0.820276i | \(-0.306180\pi\) | ||||
0.571968 | + | 0.820276i | \(0.306180\pi\) | |||||||
\(380\) | −112.770 | − | 65.1075i | −0.296762 | − | 0.171336i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 41.6173 | + | 72.0833i | 0.108946 | + | 0.188700i | ||||
\(383\) | 118.682 | + | 68.5211i | 0.309875 | + | 0.178906i | 0.646871 | − | 0.762600i | \(-0.276077\pi\) |
−0.336996 | + | 0.941506i | \(0.609411\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −0.317351 | − | 53.6817i | −0.000824288 | − | 0.139433i | ||||
\(386\) | 196.907i | 0.510123i | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 12.0828 | + | 20.9280i | 0.0311411 | + | 0.0539380i | ||||
\(389\) | 301.317 | − | 173.965i | 0.774594 | − | 0.447212i | −0.0599172 | − | 0.998203i | \(-0.519084\pi\) |
0.834511 | + | 0.550991i | \(0.185750\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −198.049 | −0.506518 | ||||||||
\(392\) | 1.63859 | + | 138.583i | 0.00418007 | + | 0.353529i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −224.662 | + | 389.126i | −0.570208 | + | 0.987630i | ||||
\(395\) | −530.585 | + | 306.333i | −1.34325 | + | 0.775528i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −231.200 | + | 400.450i | −0.582368 | + | 1.00869i | 0.412830 | + | 0.910808i | \(0.364540\pi\) |
−0.995198 | + | 0.0978827i | \(0.968793\pi\) | |||||||
\(398\) | 353.183i | 0.887394i | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −0.331050 | −0.000827625 | ||||||||
\(401\) | 383.337 | + | 221.320i | 0.955952 | + | 0.551919i | 0.894925 | − | 0.446217i | \(-0.147229\pi\) |
0.0610272 | + | 0.998136i | \(0.480562\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 7.94834 | + | 13.7669i | 0.0197229 | + | 0.0341611i | ||||
\(404\) | −314.937 | − | 181.829i | −0.779547 | − | 0.450072i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −288.407 | − | 164.246i | −0.710362 | − | 0.404547i | ||||
\(407\) | − | 85.3597i | − | 0.209729i | ||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −28.1139 | − | 48.6947i | −0.0687381 | − | 0.119058i | 0.829608 | − | 0.558346i | \(-0.188564\pi\) |
−0.898346 | + | 0.439288i | \(0.855231\pi\) | |||||||
\(410\) | 40.1125 | − | 23.1590i | 0.0978353 | − | 0.0564853i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 231.490 | 0.561868 | ||||||||
\(413\) | −169.184 | − | 289.075i | −0.409646 | − | 0.699940i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 397.807 | − | 689.022i | 0.958571 | − | 1.66029i | ||||
\(416\) | 4.49353 | − | 2.59434i | 0.0108017 | − | 0.00623639i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −14.0759 | + | 24.3802i | −0.0336744 | + | 0.0583258i | ||||
\(419\) | 330.707i | 0.789276i | 0.918837 | + | 0.394638i | \(0.129130\pi\) | ||||
−0.918837 | + | 0.394638i | \(0.870870\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −30.5930 | −0.0726675 | −0.0363338 | − | 0.999340i | \(-0.511568\pi\) | ||||
−0.0363338 | + | 0.999340i | \(0.511568\pi\) | |||||||
\(422\) | 137.476 | + | 79.3715i | 0.325771 | + | 0.188084i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −118.241 | − | 204.800i | −0.278871 | − | 0.483019i | ||||
\(425\) | 1.18665 | + | 0.685111i | 0.00279211 | + | 0.00161203i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 490.145 | + | 279.135i | 1.14788 | + | 0.653712i | ||||
\(428\) | 342.220i | 0.799580i | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 115.962 | + | 200.852i | 0.269679 | + | 0.467098i | ||||
\(431\) | −580.479 | + | 335.140i | −1.34682 | + | 0.777586i | −0.987798 | − | 0.155744i | \(-0.950223\pi\) |
−0.359021 | + | 0.933330i | \(0.616889\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −192.276 | −0.444055 | −0.222027 | − | 0.975040i | \(-0.571267\pi\) | ||||
−0.222027 | + | 0.975040i | \(0.571267\pi\) | |||||||
\(434\) | 171.566 | − | 1.01425i | 0.395313 | − | 0.00233697i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −131.917 | + | 228.487i | −0.302562 | + | 0.524054i | ||||
\(437\) | −134.675 | + | 77.7549i | −0.308182 | + | 0.177929i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 80.5208 | − | 139.466i | 0.183419 | − | 0.317691i | −0.759624 | − | 0.650363i | \(-0.774617\pi\) |
0.943043 | + | 0.332672i | \(0.107950\pi\) | |||||||
\(440\) | 21.6911i | 0.0492979i | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −21.4760 | −0.0485883 | ||||||||
\(443\) | −590.281 | − | 340.799i | −1.33246 | − | 0.769297i | −0.346785 | − | 0.937945i | \(-0.612727\pi\) |
−0.985676 | + | 0.168647i | \(0.946060\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −135.879 | − | 235.350i | −0.305347 | − | 0.528876i | ||||
\(446\) | −97.0422 | − | 56.0273i | −0.217583 | − | 0.125622i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −0.331050 | − | 55.9990i | −0.000738951 | − | 0.124998i | ||||
\(449\) | 804.351i | 1.79143i | 0.444630 | + | 0.895714i | \(0.353335\pi\) | ||||
−0.444630 | + | 0.895714i | \(0.646665\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −5.00685 | − | 8.67212i | −0.0111017 | − | 0.0192286i | ||||
\(452\) | −13.2611 | + | 7.65629i | −0.0293387 | + | 0.0169387i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −507.207 | −1.11720 | ||||||||
\(455\) | 15.9133 | − | 27.9428i | 0.0349743 | − | 0.0614128i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 44.4415 | − | 76.9749i | 0.0972462 | − | 0.168435i | −0.813298 | − | 0.581848i | \(-0.802330\pi\) |
0.910544 | + | 0.413413i | \(0.135663\pi\) | |||||||
\(458\) | 149.833 | − | 86.5060i | 0.327146 | − | 0.188878i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −59.9104 | + | 103.768i | −0.130240 | + | 0.225582i | ||||
\(461\) | 862.183i | 1.87024i | 0.354325 | + | 0.935122i | \(0.384711\pi\) | ||||
−0.354325 | + | 0.935122i | \(0.615289\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −140.938 | −0.304401 | −0.152201 | − | 0.988350i | \(-0.548636\pi\) | ||||
−0.152201 | + | 0.988350i | \(0.548636\pi\) | |||||||
\(464\) | 116.140 | + | 67.0533i | 0.250301 | + | 0.144511i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −150.293 | − | 260.315i | −0.322517 | − | 0.558616i | ||||
\(467\) | 233.715 | + | 134.936i | 0.500461 | + | 0.288941i | 0.728904 | − | 0.684616i | \(-0.240030\pi\) |
−0.228443 | + | 0.973557i | \(0.573363\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −14.6241 | + | 8.55892i | −0.0311815 | + | 0.0182493i | ||||
\(470\) | − | 379.351i | − | 0.807129i | ||||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 67.6689 | + | 117.206i | 0.143366 | + | 0.248318i | ||||
\(473\) | 43.4232 | − | 25.0704i | 0.0918038 | − | 0.0530030i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 1.07591 | 0.00226508 | ||||||||
\(476\) | −114.704 | + | 201.413i | −0.240974 | + | 0.423137i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −242.369 | + | 419.795i | −0.507048 | + | 0.878233i | ||||
\(479\) | 652.109 | − | 376.495i | 1.36140 | − | 0.786003i | 0.371587 | − | 0.928398i | \(-0.378814\pi\) |
0.989810 | + | 0.142395i | \(0.0454804\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 25.5656 | − | 44.2810i | 0.0531510 | − | 0.0920603i | ||||
\(482\) | 46.3082i | 0.0960752i | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −237.311 | −0.490311 | ||||||||
\(485\) | −52.4064 | − | 30.2569i | −0.108054 | − | 0.0623853i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −375.969 | − | 651.198i | −0.772011 | − | 1.33716i | −0.936459 | − | 0.350776i | \(-0.885918\pi\) |
0.164449 | − | 0.986386i | \(-0.447415\pi\) | |||||||
\(488\) | −197.378 | − | 113.956i | −0.404464 | − | 0.233517i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −177.069 | − | 298.486i | −0.361365 | − | 0.609155i | ||||
\(491\) | 165.492i | 0.337051i | 0.985697 | + | 0.168526i | \(0.0539006\pi\) | ||||
−0.985697 | + | 0.168526i | \(0.946099\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −277.535 | − | 480.704i | −0.562950 | − | 0.975059i | ||||
\(494\) | −14.6040 | + | 8.43160i | −0.0295627 | + | 0.0170680i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −69.3242 | −0.139767 | ||||||||
\(497\) | 583.241 | − | 3.44795i | 1.17352 | − | 0.00693753i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 213.341 | − | 369.518i | 0.427538 | − | 0.740517i | −0.569116 | − | 0.822257i | \(-0.692714\pi\) |
0.996654 | + | 0.0817402i | \(0.0260478\pi\) | |||||||
\(500\) | −216.146 | + | 124.792i | −0.432293 | + | 0.249584i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 5.88613 | − | 10.1951i | 0.0117254 | − | 0.0203089i | ||||
\(503\) | 302.442i | 0.601276i | 0.953738 | + | 0.300638i | \(0.0971996\pi\) | ||||
−0.953738 | + | 0.300638i | \(0.902800\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 910.648 | 1.80326 | ||||||||
\(506\) | 22.4341 | + | 12.9523i | 0.0443361 | + | 0.0255975i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −8.57934 | − | 14.8598i | −0.0168885 | − | 0.0292517i | ||||
\(509\) | 122.770 | + | 70.8814i | 0.241199 | + | 0.139256i | 0.615728 | − | 0.787959i | \(-0.288862\pi\) |
−0.374529 | + | 0.927215i | \(0.622196\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 435.479 | − | 254.869i | 0.852210 | − | 0.498764i | ||||
\(512\) | 22.6274i | 0.0441942i | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 11.0068 | + | 19.0644i | 0.0214141 | + | 0.0370903i | ||||
\(515\) | −502.019 | + | 289.841i | −0.974794 | + | 0.562798i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −82.0137 | −0.158634 | ||||||||
\(518\) | −278.743 | − | 476.273i | −0.538115 | − | 0.919446i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −6.49658 | + | 11.2524i | −0.0124934 | + | 0.0216392i | ||||
\(521\) | −390.077 | + | 225.211i | −0.748708 | + | 0.432267i | −0.825227 | − | 0.564801i | \(-0.808953\pi\) |
0.0765187 | + | 0.997068i | \(0.475620\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 156.221 | − | 270.583i | 0.298702 | − | 0.517366i | −0.677138 | − | 0.735856i | \(-0.736780\pi\) |
0.975839 | + | 0.218490i | \(0.0701132\pi\) | |||||||
\(524\) | − | 140.807i | − | 0.268716i | ||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 9.02055 | 0.0171493 | ||||||||
\(527\) | 248.492 | + | 143.467i | 0.471522 | + | 0.272233i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −192.952 | − | 334.202i | −0.364748 | − | 0.631762i | ||||
\(530\) | 512.847 | + | 296.092i | 0.967636 | + | 0.558665i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 1.07591 | + | 181.997i | 0.00202239 | + | 0.342099i | ||||
\(533\) | − | 5.99830i | − | 0.0112538i | ||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −428.483 | − | 742.154i | −0.800903 | − | 1.38720i | ||||
\(536\) | 5.92939 | − | 3.42333i | 0.0110623 | − | 0.00638682i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 488.662 | 0.908294 | ||||||||
\(539\) | −64.5312 | + | 38.2814i | −0.119724 | + | 0.0710231i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −307.173 | + | 532.039i | −0.567787 | + | 0.983436i | 0.428998 | + | 0.903306i | \(0.358867\pi\) |
−0.996784 | + | 0.0801300i | \(0.974466\pi\) | |||||||
\(542\) | 267.518 | − | 154.452i | 0.493576 | − | 0.284966i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 46.8276 | − | 81.1078i | 0.0860802 | − | 0.149095i | ||||
\(545\) | − | 660.677i | − | 1.21225i | ||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −675.263 | −1.23448 | −0.617242 | − | 0.786773i | \(-0.711750\pi\) | ||||
−0.617242 | + | 0.786773i | \(0.711750\pi\) | |||||||
\(548\) | −116.858 | − | 67.4678i | −0.213244 | − | 0.123116i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −0.0896122 | − | 0.155213i | −0.000162931 | − | 0.000282205i | ||||
\(551\) | −377.454 | − | 217.923i | −0.685034 | − | 0.395505i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 744.111 | + | 423.767i | 1.34559 | + | 0.766306i | ||||
\(554\) | 184.882i | 0.333722i | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 166.572 | + | 288.512i | 0.299591 | + | 0.518906i | ||||
\(557\) | 579.013 | − | 334.293i | 1.03952 | − | 0.600168i | 0.119823 | − | 0.992795i | \(-0.461767\pi\) |
0.919698 | + | 0.392628i | \(0.128434\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 30.0348 | 0.0537295 | ||||||||
\(560\) | 70.8325 | + | 121.027i | 0.126487 | + | 0.216120i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −304.421 | + | 527.272i | −0.541674 | + | 0.938207i | ||||
\(563\) | 10.9678 | − | 6.33228i | 0.0194810 | − | 0.0112474i | −0.490228 | − | 0.871594i | \(-0.663086\pi\) |
0.509709 | + | 0.860347i | \(0.329753\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 19.1724 | − | 33.2075i | 0.0339334 | − | 0.0587744i | ||||
\(566\) | − | 548.559i | − | 0.969186i | ||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −235.669 | −0.414910 | ||||||||
\(569\) | −509.198 | − | 293.986i | −0.894900 | − | 0.516671i | −0.0193580 | − | 0.999813i | \(-0.506162\pi\) |
−0.875542 | + | 0.483142i | \(0.839496\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 386.759 | + | 669.886i | 0.677336 | + | 1.17318i | 0.975780 | + | 0.218753i | \(0.0701990\pi\) |
−0.298444 | + | 0.954427i | \(0.596468\pi\) | |||||||
\(572\) | 2.43271 | + | 1.40453i | 0.00425299 | + | 0.00245547i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −56.2551 | − | 32.0370i | −0.0980055 | − | 0.0558136i | ||||
\(575\) | − | 0.990030i | − | 0.00172179i | ||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −45.7965 | − | 79.3219i | −0.0793700 | − | 0.137473i | 0.823608 | − | 0.567159i | \(-0.191958\pi\) |
−0.902978 | + | 0.429686i | \(0.858624\pi\) | |||||||
\(578\) | 18.2446 | − | 10.5335i | 0.0315651 | − | 0.0182241i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −335.821 | −0.579001 | ||||||||
\(581\) | −1112.00 | + | 6.57383i | −1.91394 | + | 0.0113147i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 64.0137 | − | 110.875i | 0.109801 | − | 0.190180i | ||||
\(584\) | −176.566 | + | 101.940i | −0.302339 | + | 0.174556i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −281.235 | + | 487.113i | −0.479923 | + | 0.831250i | ||||
\(587\) | 237.495i | 0.404592i | 0.979324 | + | 0.202296i | \(0.0648403\pi\) | ||||
−0.979324 | + | 0.202296i | \(0.935160\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 225.304 | 0.382519 | ||||||||
\(590\) | −293.500 | − | 169.452i | −0.497457 | − | 0.287207i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 111.490 | + | 193.106i | 0.188327 | + | 0.326192i | ||||
\(593\) | 23.8699 | + | 13.7813i | 0.0402529 | + | 0.0232400i | 0.519991 | − | 0.854172i | \(-0.325935\pi\) |
−0.479739 | + | 0.877412i | \(0.659268\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −3.43122 | − | 580.411i | −0.00576676 | − | 0.975480i | ||||
\(596\) | 454.314i | 0.762271i | ||||||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 7.75856 | + | 13.4382i | 0.0129742 | + | 0.0224719i | ||||
\(599\) | 815.769 | − | 470.985i | 1.36189 | − | 0.786285i | 0.372010 | − | 0.928229i | \(-0.378669\pi\) |
0.989875 | + | 0.141944i | \(0.0453352\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −374.262 | −0.622732 | −0.311366 | − | 0.950290i | \(-0.600787\pi\) | ||||
−0.311366 | + | 0.950290i | \(0.600787\pi\) | |||||||
\(602\) | 160.416 | − | 281.682i | 0.266472 | − | 0.467910i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −275.648 | + | 477.437i | −0.456372 | + | 0.790459i | ||||
\(605\) | 514.642 | − | 297.129i | 0.850648 | − | 0.491122i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −190.328 | + | 329.657i | −0.313555 | + | 0.543092i | −0.979129 | − | 0.203239i | \(-0.934853\pi\) |
0.665575 | + | 0.746331i | \(0.268187\pi\) | |||||||
\(608\) | − | 73.5391i | − | 0.120952i | ||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 570.724 | 0.935614 | ||||||||
\(611\) | −42.5452 | − | 24.5635i | −0.0696321 | − | 0.0402021i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 455.283 | + | 788.573i | 0.742713 | + | 1.28642i | 0.951256 | + | 0.308403i | \(0.0997945\pi\) |
−0.208543 | + | 0.978013i | \(0.566872\pi\) | |||||||
\(614\) | 142.890 | + | 82.4974i | 0.232719 | + | 0.134361i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 26.1655 | − | 15.3136i | 0.0424765 | − | 0.0248598i | ||||
\(617\) | − | 16.8438i | − | 0.0272996i | −0.999907 | − | 0.0136498i | \(-0.995655\pi\) | ||
0.999907 | − | 0.0136498i | \(-0.00434500\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 391.707 | + | 678.456i | 0.632806 | + | 1.09605i | 0.986975 | + | 0.160871i | \(0.0514303\pi\) |
−0.354169 | + | 0.935181i | \(0.615236\pi\) | |||||||
\(620\) | 150.340 | − | 86.7986i | 0.242483 | − | 0.139998i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 687.159 | 1.10476 | ||||||||
\(623\) | −187.969 | + | 330.063i | −0.301716 | + | 0.529796i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 313.531 | − | 543.052i | 0.501650 | − | 0.868883i | ||||
\(626\) | −188.197 | + | 108.656i | −0.300634 | + | 0.173571i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 199.235 | − | 345.084i | 0.317253 | − | 0.549497i | ||||
\(629\) | − | 922.916i | − | 1.46727i | ||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −679.228 | −1.07643 | −0.538215 | − | 0.842807i | \(-0.680901\pi\) | ||||
−0.538215 | + | 0.842807i | \(0.680901\pi\) | |||||||
\(632\) | −299.649 | − | 173.002i | −0.474128 | − | 0.273738i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −68.4829 | − | 118.616i | −0.108017 | − | 0.187091i | ||||
\(635\) | 37.2111 | + | 21.4838i | 0.0586001 | + | 0.0338328i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −44.9415 | + | 0.531381i | −0.0705518 | + | 0.000834193i | ||||
\(638\) | 72.6028i | 0.113797i | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −28.3311 | − | 49.0708i | −0.0442673 | − | 0.0766732i | ||||
\(641\) | −589.124 | + | 340.131i | −0.919070 | + | 0.530625i | −0.883338 | − | 0.468736i | \(-0.844709\pi\) |
−0.0357315 | + | 0.999361i | \(0.511376\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 843.966 | 1.31254 | 0.656272 | − | 0.754524i | \(-0.272132\pi\) | ||||
0.656272 | + | 0.754524i | \(0.272132\pi\) | |||||||
\(644\) | 167.469 | − | 0.990030i | 0.260045 | − | 0.00153731i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −152.190 | + | 263.600i | −0.235588 | + | 0.408050i | ||||
\(647\) | 1111.67 | − | 641.824i | 1.71819 | − | 0.992000i | 0.795979 | − | 0.605324i | \(-0.206956\pi\) |
0.922216 | − | 0.386676i | \(-0.126377\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −36.6347 | + | 63.4532i | −0.0564479 | + | 0.0977707i | ||||
\(650\) | − | 0.107357i | − | 0.000165165i | ||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 194.000 | 0.297546 | ||||||||
\(653\) | 276.898 | + | 159.867i | 0.424040 | + | 0.244820i | 0.696804 | − | 0.717261i | \(-0.254605\pi\) |
−0.272764 | + | 0.962081i | \(0.587938\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 176.300 | + | 305.360i | 0.269160 | + | 0.466199i | ||||
\(656\) | 22.6536 | + | 13.0791i | 0.0345329 | + | 0.0199376i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −457.604 | + | 267.817i | −0.695446 | + | 0.407017i | ||||
\(659\) | − | 915.684i | − | 1.38951i | −0.719249 | − | 0.694753i | \(-0.755514\pi\) | ||
0.719249 | − | 0.694753i | \(-0.244486\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −251.183 | − | 435.061i | −0.380004 | − | 0.658186i | 0.611058 | − | 0.791586i | \(-0.290744\pi\) |
−0.991062 | + | 0.133399i | \(0.957411\pi\) | |||||||
\(662\) | −89.7356 | + | 51.8089i | −0.135552 | + | 0.0782612i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 449.324 | 0.676693 | ||||||||
\(665\) | −230.206 | − | 393.339i | −0.346174 | − | 0.591488i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −200.528 | + | 347.324i | −0.300641 | + | 0.520726i | ||||
\(668\) | 37.5700 | − | 21.6911i | 0.0562426 | − | 0.0324717i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −8.57249 | + | 14.8480i | −0.0127948 | + | 0.0221612i | ||||
\(671\) | − | 123.388i | − | 0.183886i | ||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 299.724 | 0.445356 | 0.222678 | − | 0.974892i | \(-0.428520\pi\) | ||||
0.222678 | + | 0.974892i | \(0.428520\pi\) | |||||||
\(674\) | 202.455 | + | 116.887i | 0.300378 | + | 0.173423i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −168.159 | − | 291.259i | −0.248755 | − | 0.430857i | ||||
\(677\) | 286.869 | + | 165.624i | 0.423736 | + | 0.244644i | 0.696674 | − | 0.717387i | \(-0.254662\pi\) |
−0.272939 | + | 0.962031i | \(0.587996\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 0.500000 | + | 84.5779i | 0.000736377 | + | 0.124562i | ||||
\(680\) | 234.525i | 0.344890i | ||||||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −18.7654 | − | 32.5026i | −0.0275153 | − | 0.0476578i | ||||
\(683\) | 858.175 | − | 495.468i | 1.25648 | − | 0.725428i | 0.284090 | − | 0.958797i | \(-0.408308\pi\) |
0.972388 | + | 0.233369i | \(0.0749751\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 337.897 | 0.493280 | ||||||||
\(686\) | −235.050 | + | 424.323i | −0.342638 | + | 0.618546i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −65.4897 | + | 113.432i | −0.0951886 | + | 0.164871i | ||||
\(689\) | 66.4151 | − | 38.3448i | 0.0963935 | − | 0.0556528i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −326.842 | + | 566.106i | −0.472998 | + | 0.819257i | −0.999522 | − | 0.0309035i | \(-0.990162\pi\) |
0.526524 | + | 0.850160i | \(0.323495\pi\) | |||||||
\(692\) | − | 417.310i | − | 0.603049i | ||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −296.483 | −0.427209 | ||||||||
\(695\) | −722.473 | − | 417.120i | −1.03953 | − | 0.600173i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −54.1344 | − | 93.7636i | −0.0776677 | − | 0.134524i | ||||
\(698\) | 542.140 | + | 313.005i | 0.776705 | + | 0.448431i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −1.00685 | − | 0.573396i | −0.00143836 | − | 0.000819137i | ||||
\(701\) | − | 281.648i | − | 0.401781i | −0.979614 | − | 0.200890i | \(-0.935616\pi\) | ||
0.979614 | − | 0.200890i | \(-0.0643835\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −362.342 | − | 627.594i | −0.515422 | − | 0.892737i | ||||
\(704\) | −10.6089 | + | 6.12503i | −0.0150694 | + | 0.00870033i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −236.027 | −0.334316 | ||||||||
\(707\) | −642.906 | − | 1098.50i | −0.909344 | − | 1.55375i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −250.372 | + | 433.658i | −0.353135 | + | 0.611647i | −0.986797 | − | 0.161963i | \(-0.948218\pi\) |
0.633662 | + | 0.773610i | \(0.281551\pi\) | |||||||
\(710\) | 511.082 | − | 295.073i | 0.719834 | − | 0.415596i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 76.7380 | − | 132.914i | 0.107778 | − | 0.186677i | ||||
\(713\) | − | 207.319i | − | 0.290770i | ||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −7.03425 | −0.00983811 | ||||||||
\(716\) | −109.898 | − | 63.4495i | −0.153489 | − | 0.0886166i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −13.3516 | − | 23.1256i | −0.0185955 | − | 0.0322084i | ||||
\(719\) | 371.073 | + | 214.239i | 0.516095 | + | 0.297968i | 0.735336 | − | 0.677703i | \(-0.237025\pi\) |
−0.219240 | + | 0.975671i | \(0.570358\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 704.049 | + | 400.952i | 0.976489 | + | 0.556105i | ||||
\(722\) | − | 271.529i | − | 0.376079i | ||||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −212.311 | − | 367.733i | −0.293247 | − | 0.507918i | ||||
\(725\) | 2.40300 | − | 1.38737i | 0.00331449 | − | 0.00191362i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −1134.87 | −1.56103 | −0.780515 | − | 0.625137i | \(-0.785043\pi\) | ||||
−0.780515 | + | 0.625137i | \(0.785043\pi\) | |||||||
\(728\) | 18.1601 | − | 0.107357i | 0.0249451 | − | 0.000147468i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 255.273 | − | 442.145i | 0.349688 | − | 0.605678i | ||||
\(731\) | 469.495 | − | 271.063i | 0.642264 | − | 0.370811i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 322.786 | − | 559.082i | 0.440363 | − | 0.762731i | −0.557353 | − | 0.830276i | \(-0.688183\pi\) |
0.997716 | + | 0.0675441i | \(0.0215163\pi\) | |||||||
\(734\) | − | 554.684i | − | 0.755700i | ||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −67.6689 | −0.0919415 | ||||||||
\(737\) | 3.21006 | + | 1.85333i | 0.00435558 | + | 0.00251469i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 396.638 | + | 686.997i | 0.536723 | + | 0.929631i | 0.999078 | + | 0.0429362i | \(0.0136712\pi\) |
−0.462355 | + | 0.886695i | \(0.652995\pi\) | |||||||
\(740\) | −483.563 | − | 279.185i | −0.653464 | − | 0.377277i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −4.89298 | − | 827.676i | −0.00659431 | − | 1.11547i | ||||
\(743\) | 1254.90i | 1.68896i | 0.535584 | + | 0.844482i | \(0.320092\pi\) | ||||
−0.535584 | + | 0.844482i | \(0.679908\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −568.831 | − | 985.245i | −0.763532 | − | 1.32248i | ||||
\(746\) | −680.494 | + | 392.883i | −0.912190 | + | 0.526653i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 50.7032 | 0.0677850 | ||||||||
\(749\) | −592.743 | + | 1040.82i | −0.791379 | + | 1.38962i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 427.766 | − | 740.912i | 0.569595 | − | 0.986567i | −0.427011 | − | 0.904246i | \(-0.640433\pi\) |
0.996606 | − | 0.0823207i | \(-0.0262332\pi\) | |||||||
\(752\) | 185.536 | − | 107.119i | 0.246724 | − | 0.142446i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −21.7449 | + | 37.6632i | −0.0288393 | + | 0.0499512i | ||||
\(755\) | − | 1380.52i | − | 1.82851i | ||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 254.428 | 0.336100 | 0.168050 | − | 0.985778i | \(-0.446253\pi\) | ||||
0.168050 | + | 0.985778i | \(0.446253\pi\) | |||||||
\(758\) | −530.991 | − | 306.568i | −0.700515 | − | 0.404443i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 92.0759 | + | 159.480i | 0.121153 | + | 0.209842i | ||||
\(761\) | −831.324 | − | 479.965i | −1.09241 | − | 0.630703i | −0.158192 | − | 0.987408i | \(-0.550567\pi\) |
−0.934217 | + | 0.356705i | \(0.883900\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −796.962 | + | 466.430i | −1.04451 | + | 0.611310i | ||||
\(764\) | − | 117.711i | − | 0.154073i | ||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −96.9035 | − | 167.842i | −0.126506 | − | 0.219115i | ||||
\(767\) | −38.0090 | + | 21.9445i | −0.0495555 | + | 0.0286109i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 563.090 | 0.732236 | 0.366118 | − | 0.930568i | \(-0.380687\pi\) | ||||
0.366118 | + | 0.930568i | \(0.380687\pi\) | |||||||
\(770\) | −37.5700 | + | 65.9708i | −0.0487922 | + | 0.0856764i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 139.235 | − | 241.161i | 0.180356 | − | 0.312385i | ||||
\(773\) | 164.508 | − | 94.9789i | 0.212818 | − | 0.122871i | −0.389802 | − | 0.920899i | \(-0.627457\pi\) |
0.602620 | + | 0.798028i | \(0.294123\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −0.717181 | + | 1.24219i | −0.000925395 | + | 0.00160283i | ||||
\(776\) | − | 34.1752i | − | 0.0440402i | ||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −492.049 | −0.632453 | ||||||||
\(779\) | −73.6242 | − | 42.5069i | −0.0945111 | − | 0.0545660i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −63.7934 | − | 110.493i | −0.0816817 | − | 0.141477i |