Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [975,2,Mod(149,975)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(975, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 6, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("975.149");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 975 = 3 \cdot 5^{2} \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 975.bp (of order \(12\), degree \(4\), not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(7.78541419707\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{12})\) |
Coefficient field: | 8.0.56070144.2 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{8} - 4x^{7} + 16x^{6} - 34x^{5} + 63x^{4} - 74x^{3} + 70x^{2} - 38x + 13 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 39) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 899.2 | ||
Root | \(0.500000 + 1.19293i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 975.899 |
Dual form | 975.2.bp.e.449.2 |
$q$-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 \(\left(\mathbb{Z}/975\mathbb{Z}\right)^\times\).
\(n\) | \(301\) | \(326\) | \(352\) |
\(\chi(n)\) | \(e\left(\frac{1}{12}\right)\) | \(-1\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 2.31259 | + | 0.619657i | 1.63525 | + | 0.438164i | 0.955430 | − | 0.295217i | \(-0.0953919\pi\) |
0.679818 | + | 0.733380i | \(0.262059\pi\) | |||||||
\(3\) | 0.529480 | + | 1.64914i | 0.305695 | + | 0.952129i | ||||
\(4\) | 3.23205 | + | 1.86603i | 1.61603 | + | 0.933013i | ||||
\(5\) | 0 | 0 | ||||||||
\(6\) | 0.202571 | + | 4.14187i | 0.0826993 | + | 1.69091i | ||||
\(7\) | 0.366025 | + | 1.36603i | 0.138345 | + | 0.516309i | 0.999962 | + | 0.00875026i | \(0.00278533\pi\) |
−0.861617 | + | 0.507559i | \(0.830548\pi\) | |||||||
\(8\) | 2.93225 | + | 2.93225i | 1.03671 | + | 1.03671i | ||||
\(9\) | −2.43930 | + | 1.74637i | −0.813101 | + | 0.582123i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 1.69293 | + | 0.453620i | 0.510439 | + | 0.136772i | 0.504840 | − | 0.863213i | \(-0.331551\pi\) |
0.00559833 | + | 0.999984i | \(0.498218\pi\) | |||||||
\(12\) | −1.36603 | + | 6.31812i | −0.394338 | + | 1.82388i | ||||
\(13\) | −3.23205 | − | 1.59808i | −0.896410 | − | 0.443227i | ||||
\(14\) | 3.38587i | 0.904911i | ||||||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 1.23205 | + | 2.13397i | 0.308013 | + | 0.533494i | ||||
\(17\) | 1.85897 | + | 1.07328i | 0.450867 | + | 0.260308i | 0.708196 | − | 0.706016i | \(-0.249509\pi\) |
−0.257330 | + | 0.966324i | \(0.582843\pi\) | |||||||
\(18\) | −6.72326 | + | 2.52711i | −1.58469 | + | 0.595644i | ||||
\(19\) | 0.267949 | + | 1.00000i | 0.0614718 | + | 0.229416i | 0.989826 | − | 0.142280i | \(-0.0454432\pi\) |
−0.928355 | + | 0.371695i | \(0.878777\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −2.05896 | + | 1.32691i | −0.449302 | + | 0.289555i | ||||
\(22\) | 3.63397 | + | 2.09808i | 0.774766 | + | 0.447311i | ||||
\(23\) | 0 | 0 | −0.500000 | − | 0.866025i | \(-0.666667\pi\) | ||||
0.500000 | + | 0.866025i | \(0.333333\pi\) | |||||||
\(24\) | −3.28311 | + | 6.38824i | −0.670162 | + | 1.30399i | ||||
\(25\) | 0 | 0 | ||||||||
\(26\) | −6.48415 | − | 5.69846i | −1.27165 | − | 1.11756i | ||||
\(27\) | −4.17156 | − | 3.09808i | −0.802817 | − | 0.596225i | ||||
\(28\) | −1.36603 | + | 5.09808i | −0.258155 | + | 0.963446i | ||||
\(29\) | 4.79122 | − | 2.76621i | 0.889707 | − | 0.513673i | 0.0158603 | − | 0.999874i | \(-0.494951\pi\) |
0.873847 | + | 0.486202i | \(0.161618\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 4.46410 | − | 4.46410i | 0.801776 | − | 0.801776i | −0.181597 | − | 0.983373i | \(-0.558127\pi\) |
0.983373 | + | 0.181597i | \(0.0581266\pi\) | |||||||
\(32\) | −0.619657 | − | 2.31259i | −0.109541 | − | 0.408812i | ||||
\(33\) | 0.148292 | + | 3.03206i | 0.0258144 | + | 0.527814i | ||||
\(34\) | 3.63397 | + | 3.63397i | 0.623222 | + | 0.623222i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | −11.1427 | + | 1.09255i | −1.85712 | + | 0.182092i | ||||
\(37\) | 6.59808 | + | 1.76795i | 1.08472 | + | 0.290649i | 0.756527 | − | 0.653963i | \(-0.226895\pi\) |
0.328190 | + | 0.944612i | \(0.393561\pi\) | |||||||
\(38\) | 2.47863i | 0.402086i | ||||||||
\(39\) | 0.924141 | − | 6.17624i | 0.147981 | − | 0.988990i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 0.166037 | − | 0.619657i | 0.0259306 | − | 0.0967741i | −0.951748 | − | 0.306881i | \(-0.900715\pi\) |
0.977678 | + | 0.210107i | \(0.0673812\pi\) | |||||||
\(42\) | −5.58376 | + | 1.79275i | −0.861593 | + | 0.276627i | ||||
\(43\) | −4.09808 | + | 7.09808i | −0.624951 | + | 1.08245i | 0.363600 | + | 0.931555i | \(0.381548\pi\) |
−0.988550 | + | 0.150891i | \(0.951786\pi\) | |||||||
\(44\) | 4.62518 | + | 4.62518i | 0.697272 | + | 0.697272i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −6.77174 | − | 6.77174i | −0.987759 | − | 0.987759i | 0.0121668 | − | 0.999926i | \(-0.496127\pi\) |
−0.999926 | + | 0.0121668i | \(0.996127\pi\) | |||||||
\(48\) | −2.86687 | + | 3.16172i | −0.413797 | + | 0.456354i | ||||
\(49\) | 4.33013 | − | 2.50000i | 0.618590 | − | 0.357143i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −0.785693 | + | 3.63397i | −0.110019 | + | 0.508858i | ||||
\(52\) | −7.46410 | − | 11.1962i | −1.03508 | − | 1.55263i | ||||
\(53\) | −4.62518 | −0.635318 | −0.317659 | − | 0.948205i | \(-0.602897\pi\) | ||||
−0.317659 | + | 0.948205i | \(0.602897\pi\) | |||||||
\(54\) | −7.72737 | − | 9.74952i | −1.05156 | − | 1.32674i | ||||
\(55\) | 0 | 0 | ||||||||
\(56\) | −2.93225 | + | 5.07880i | −0.391838 | + | 0.678683i | ||||
\(57\) | −1.50726 | + | 0.971364i | −0.199642 | + | 0.128660i | ||||
\(58\) | 12.7942 | − | 3.42820i | 1.67996 | − | 0.450145i | ||||
\(59\) | 1.23931 | + | 4.62518i | 0.161345 | + | 0.602147i | 0.998478 | + | 0.0551484i | \(0.0175632\pi\) |
−0.837133 | + | 0.546999i | \(0.815770\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 3.50000 | − | 6.06218i | 0.448129 | − | 0.776182i | −0.550135 | − | 0.835076i | \(-0.685424\pi\) |
0.998264 | + | 0.0588933i | \(0.0187572\pi\) | |||||||
\(62\) | 13.0899 | − | 7.55743i | 1.66241 | − | 0.959794i | ||||
\(63\) | −3.27843 | − | 2.69293i | −0.413043 | − | 0.339278i | ||||
\(64\) | − | 10.6603i | − | 1.33253i | ||||||
\(65\) | 0 | 0 | ||||||||
\(66\) | −1.53590 | + | 7.10381i | −0.189056 | + | 0.874418i | ||||
\(67\) | −2.26795 | + | 8.46410i | −0.277074 | + | 1.03405i | 0.677365 | + | 0.735647i | \(0.263122\pi\) |
−0.954439 | + | 0.298407i | \(0.903545\pi\) | |||||||
\(68\) | 4.00552 | + | 6.93777i | 0.485741 | + | 0.841328i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −4.62518 | + | 1.23931i | −0.548908 | + | 0.147079i | −0.522606 | − | 0.852575i | \(-0.675040\pi\) |
−0.0263025 | + | 0.999654i | \(0.508373\pi\) | |||||||
\(72\) | −12.2734 | − | 2.03185i | −1.44644 | − | 0.239456i | ||||
\(73\) | 6.09808 | − | 6.09808i | 0.713726 | − | 0.713726i | −0.253587 | − | 0.967313i | \(-0.581610\pi\) |
0.967313 | + | 0.253587i | \(0.0816103\pi\) | |||||||
\(74\) | 14.1631 | + | 8.17709i | 1.64643 | + | 0.950567i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −1.00000 | + | 3.73205i | −0.114708 | + | 0.428096i | ||||
\(77\) | 2.47863i | 0.282466i | ||||||||
\(78\) | 5.96431 | − | 13.7105i | 0.675325 | − | 1.55241i | ||||
\(79\) | −2.00000 | −0.225018 | −0.112509 | − | 0.993651i | \(-0.535889\pi\) | ||||
−0.112509 | + | 0.993651i | \(0.535889\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 2.90039 | − | 8.51984i | 0.322266 | − | 0.946649i | ||||
\(82\) | 0.767949 | − | 1.33013i | 0.0848058 | − | 0.146888i | ||||
\(83\) | −1.23931 | + | 1.23931i | −0.136032 | + | 0.136032i | −0.771844 | − | 0.635812i | \(-0.780665\pi\) |
0.635812 | + | 0.771844i | \(0.280665\pi\) | |||||||
\(84\) | −9.13071 | + | 0.446565i | −0.996242 | + | 0.0487243i | ||||
\(85\) | 0 | 0 | ||||||||
\(86\) | −13.8755 | + | 13.8755i | −1.49624 | + | 1.49624i | ||||
\(87\) | 7.09871 | + | 6.43672i | 0.761062 | + | 0.690089i | ||||
\(88\) | 3.63397 | + | 6.29423i | 0.387383 | + | 0.670967i | ||||
\(89\) | −9.70398 | − | 2.60017i | −1.02862 | − | 0.275618i | −0.295230 | − | 0.955426i | \(-0.595396\pi\) |
−0.733390 | + | 0.679808i | \(0.762063\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 1.00000 | − | 5.00000i | 0.104828 | − | 0.524142i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 9.72556 | + | 4.99826i | 1.00849 | + | 0.518296i | ||||
\(94\) | −11.4641 | − | 19.8564i | −1.18243 | − | 2.04803i | ||||
\(95\) | 0 | 0 | ||||||||
\(96\) | 3.48568 | − | 2.24637i | 0.355756 | − | 0.229269i | ||||
\(97\) | 12.5622 | − | 3.36603i | 1.27550 | − | 0.341768i | 0.443362 | − | 0.896343i | \(-0.353786\pi\) |
0.832134 | + | 0.554575i | \(0.187119\pi\) | |||||||
\(98\) | 11.5630 | − | 3.09828i | 1.16803 | − | 0.312974i | ||||
\(99\) | −4.92177 | + | 1.84997i | −0.494656 | + | 0.185929i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −9.87002 | − | 17.0954i | −0.982104 | − | 1.70105i | −0.654160 | − | 0.756356i | \(-0.726978\pi\) |
−0.327944 | − | 0.944697i | \(-0.606356\pi\) | |||||||
\(102\) | −4.06880 | + | 7.91704i | −0.402872 | + | 0.783903i | ||||
\(103\) | 6.92820 | 0.682656 | 0.341328 | − | 0.939944i | \(-0.389123\pi\) | ||||
0.341328 | + | 0.939944i | \(0.389123\pi\) | |||||||
\(104\) | −4.79122 | − | 14.1631i | −0.469818 | − | 1.38881i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −10.6962 | − | 2.86603i | −1.03890 | − | 0.278373i | ||||
\(107\) | 8.34312 | + | 14.4507i | 0.806560 | + | 1.39700i | 0.915233 | + | 0.402925i | \(0.132007\pi\) |
−0.108673 | + | 0.994078i | \(0.534660\pi\) | |||||||
\(108\) | −7.70161 | − | 17.7974i | −0.741088 | − | 1.71255i | ||||
\(109\) | 2.80385 | − | 2.80385i | 0.268560 | − | 0.268560i | −0.559960 | − | 0.828520i | \(-0.689183\pi\) |
0.828520 | + | 0.559960i | \(0.189183\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 0.577958 | + | 11.8172i | 0.0548573 | + | 1.12164i | ||||
\(112\) | −2.46410 | + | 2.46410i | −0.232836 | + | 0.232836i | ||||
\(113\) | −6.48415 | + | 11.2309i | −0.609978 | + | 1.05651i | 0.381266 | + | 0.924465i | \(0.375488\pi\) |
−0.991243 | + | 0.132047i | \(0.957845\pi\) | |||||||
\(114\) | −4.08759 | + | 1.31238i | −0.382838 | + | 0.122916i | ||||
\(115\) | 0 | 0 | ||||||||
\(116\) | 20.6473 | 1.91705 | ||||||||
\(117\) | 10.6748 | − | 1.74616i | 0.986884 | − | 0.161433i | ||||
\(118\) | 11.4641i | 1.05536i | ||||||||
\(119\) | −0.785693 | + | 2.93225i | −0.0720244 | + | 0.268799i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −6.86603 | − | 3.96410i | −0.624184 | − | 0.360373i | ||||
\(122\) | 11.8505 | − | 11.8505i | 1.07290 | − | 1.07290i | ||||
\(123\) | 1.10981 | − | 0.0542788i | 0.100068 | − | 0.00489415i | ||||
\(124\) | 22.7583 | − | 6.09808i | 2.04376 | − | 0.547623i | ||||
\(125\) | 0 | 0 | ||||||||
\(126\) | −5.91297 | − | 8.25916i | −0.526770 | − | 0.735784i | ||||
\(127\) | −7.56218 | − | 13.0981i | −0.671035 | − | 1.16227i | −0.977611 | − | 0.210420i | \(-0.932517\pi\) |
0.306576 | − | 0.951846i | \(-0.400817\pi\) | |||||||
\(128\) | 5.36639 | − | 20.0276i | 0.474326 | − | 1.77021i | ||||
\(129\) | −13.8755 | − | 3.00000i | −1.22167 | − | 0.264135i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 0.907241i | 0.0792660i | 0.999214 | + | 0.0396330i | \(0.0126189\pi\) | ||||
−0.999214 | + | 0.0396330i | \(0.987381\pi\) | |||||||
\(132\) | −5.17862 | + | 10.0765i | −0.450741 | + | 0.877046i | ||||
\(133\) | −1.26795 | + | 0.732051i | −0.109945 | + | 0.0634769i | ||||
\(134\) | −10.4897 | + | 18.1687i | −0.906170 | + | 1.56953i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 2.30385 | + | 8.59808i | 0.197553 | + | 0.737279i | ||||
\(137\) | −5.69846 | + | 1.52690i | −0.486852 | + | 0.130452i | −0.493891 | − | 0.869524i | \(-0.664426\pi\) |
0.00703925 | + | 0.999975i | \(0.497759\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −1.19615 | + | 2.07180i | −0.101456 | + | 0.175728i | −0.912285 | − | 0.409556i | \(-0.865684\pi\) |
0.810829 | + | 0.585284i | \(0.199017\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 7.58202 | − | 14.7530i | 0.638521 | − | 1.24243i | ||||
\(142\) | −11.4641 | −0.962046 | ||||||||
\(143\) | −4.74673 | − | 4.17156i | −0.396941 | − | 0.348843i | ||||
\(144\) | −6.73205 | − | 3.05379i | −0.561004 | − | 0.254483i | ||||
\(145\) | 0 | 0 | ||||||||
\(146\) | 17.8811 | − | 10.3236i | 1.47985 | − | 0.854391i | ||||
\(147\) | 6.41556 | + | 5.81727i | 0.529146 | + | 0.479800i | ||||
\(148\) | 18.0263 | + | 18.0263i | 1.48175 | + | 1.48175i | ||||
\(149\) | −5.24484 | + | 1.40535i | −0.429674 | + | 0.115131i | −0.467173 | − | 0.884166i | \(-0.654728\pi\) |
0.0374992 | + | 0.999297i | \(0.488061\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 7.46410 | + | 7.46410i | 0.607420 | + | 0.607420i | 0.942271 | − | 0.334851i | \(-0.108686\pi\) |
−0.334851 | + | 0.942271i | \(0.608686\pi\) | |||||||
\(152\) | −2.14655 | + | 3.71794i | −0.174109 | + | 0.301565i | ||||
\(153\) | −6.40893 | + | 0.628400i | −0.518131 | + | 0.0508031i | ||||
\(154\) | −1.53590 | + | 5.73205i | −0.123766 | + | 0.461902i | ||||
\(155\) | 0 | 0 | ||||||||
\(156\) | 14.5119 | − | 18.2375i | 1.16188 | − | 1.46017i | ||||
\(157\) | 15.1962i | 1.21278i | 0.795165 | + | 0.606392i | \(0.207384\pi\) | ||||
−0.795165 | + | 0.606392i | \(0.792616\pi\) | |||||||
\(158\) | −4.62518 | − | 1.23931i | −0.367960 | − | 0.0985945i | ||||
\(159\) | −2.44894 | − | 7.62756i | −0.194214 | − | 0.604905i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 0 | 0 | ||||||||
\(162\) | 11.9868 | − | 17.9057i | 0.941772 | − | 1.40680i | ||||
\(163\) | −4.00000 | − | 14.9282i | −0.313304 | − | 1.16927i | −0.925558 | − | 0.378606i | \(-0.876404\pi\) |
0.612254 | − | 0.790661i | \(-0.290263\pi\) | |||||||
\(164\) | 1.69293 | − | 1.69293i | 0.132196 | − | 0.132196i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −3.63397 | + | 2.09808i | −0.282051 | + | 0.162842i | ||||
\(167\) | −3.05379 | + | 11.3969i | −0.236310 | + | 0.881920i | 0.741244 | + | 0.671235i | \(0.234236\pi\) |
−0.977554 | + | 0.210685i | \(0.932431\pi\) | |||||||
\(168\) | −9.92820 | − | 2.14655i | −0.765978 | − | 0.165610i | ||||
\(169\) | 7.89230 | + | 10.3301i | 0.607100 | + | 0.794625i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −2.39998 | − | 1.97136i | −0.183531 | − | 0.150754i | ||||
\(172\) | −26.4904 | + | 15.2942i | −2.01987 | + | 1.16617i | ||||
\(173\) | −6.43966 | − | 3.71794i | −0.489598 | − | 0.282670i | 0.234809 | − | 0.972041i | \(-0.424553\pi\) |
−0.724408 | + | 0.689372i | \(0.757887\pi\) | |||||||
\(174\) | 12.4279 | + | 19.2843i | 0.942154 | + | 1.46194i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 1.11777 | + | 4.17156i | 0.0842548 | + | 0.314443i | ||||
\(177\) | −6.97136 | + | 4.49274i | −0.524000 | + | 0.337695i | ||||
\(178\) | −20.8301 | − | 12.0263i | −1.56128 | − | 0.901408i | ||||
\(179\) | −9.37191 | − | 16.2326i | −0.700489 | − | 1.21328i | −0.968295 | − | 0.249810i | \(-0.919632\pi\) |
0.267805 | − | 0.963473i | \(-0.413702\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 3.00000i | 0.222988i | 0.993765 | + | 0.111494i | \(0.0355636\pi\) | ||||
−0.993765 | + | 0.111494i | \(0.964436\pi\) | |||||||
\(182\) | 5.41087 | − | 10.9433i | 0.401081 | − | 0.811171i | ||||
\(183\) | 11.8505 | + | 2.56218i | 0.876017 | + | 0.189402i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 0 | 0 | ||||||||
\(186\) | 19.3940 | + | 17.5854i | 1.42204 | + | 1.28943i | ||||
\(187\) | 2.66025 | + | 2.66025i | 0.194537 | + | 0.194537i | ||||
\(188\) | −9.25036 | − | 34.5228i | −0.674652 | − | 2.51784i | ||||
\(189\) | 2.70515 | − | 6.83243i | 0.196771 | − | 0.496986i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 16.8078 | + | 9.70398i | 1.21617 | + | 0.702156i | 0.964096 | − | 0.265553i | \(-0.0855544\pi\) |
0.252073 | + | 0.967708i | \(0.418888\pi\) | |||||||
\(192\) | 17.5802 | − | 5.64439i | 1.26874 | − | 0.407349i | ||||
\(193\) | 6.96410 | + | 1.86603i | 0.501287 | + | 0.134319i | 0.500597 | − | 0.865680i | \(-0.333114\pi\) |
0.000689767 | 1.00000i | \(0.499780\pi\) | ||||||||
\(194\) | 31.1370 | 2.23550 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 18.6603 | 1.33288 | ||||||||
\(197\) | −1.69293 | − | 0.453620i | −0.120617 | − | 0.0323191i | 0.198006 | − | 0.980201i | \(-0.436554\pi\) |
−0.318622 | + | 0.947882i | \(0.603220\pi\) | |||||||
\(198\) | −12.5284 | + | 1.22842i | −0.890353 | + | 0.0872998i | ||||
\(199\) | −0.803848 | − | 0.464102i | −0.0569832 | − | 0.0328993i | 0.471238 | − | 0.882006i | \(-0.343807\pi\) |
−0.528221 | + | 0.849107i | \(0.677141\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −15.1593 | + | 0.741412i | −1.06925 | + | 0.0522952i | ||||
\(202\) | −12.2321 | − | 45.6506i | −0.860644 | − | 3.21197i | ||||
\(203\) | 5.53242 | + | 5.53242i | 0.388300 | + | 0.388300i | ||||
\(204\) | −9.32049 | + | 10.2791i | −0.652565 | + | 0.719679i | ||||
\(205\) | 0 | 0 | ||||||||
\(206\) | 16.0221 | + | 4.29311i | 1.11631 | + | 0.299115i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −0.571797 | − | 8.86603i | −0.0396470 | − | 0.614748i | ||||
\(209\) | 1.81448i | 0.125510i | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 6.09808 | + | 10.5622i | 0.419809 | + | 0.727130i | 0.995920 | − | 0.0902411i | \(-0.0287638\pi\) |
−0.576111 | + | 0.817371i | \(0.695430\pi\) | |||||||
\(212\) | −14.9488 | − | 8.63071i | −1.02669 | − | 0.592759i | ||||
\(213\) | −4.49274 | − | 6.97136i | −0.307837 | − | 0.477670i | ||||
\(214\) | 10.3397 | + | 38.5885i | 0.706810 | + | 2.63785i | ||||
\(215\) | 0 | 0 | ||||||||
\(216\) | −3.14772 | − | 21.3164i | −0.214176 | − | 1.45040i | ||||
\(217\) | 7.73205 | + | 4.46410i | 0.524886 | + | 0.303043i | ||||
\(218\) | 8.22158 | − | 4.74673i | 0.556835 | − | 0.321489i | ||||
\(219\) | 13.2854 | + | 6.82775i | 0.897742 | + | 0.461377i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −4.29311 | − | 6.43966i | −0.288786 | − | 0.433179i | ||||
\(222\) | −5.98604 | + | 27.6865i | −0.401757 | + | 1.85820i | ||||
\(223\) | −5.97372 | + | 22.2942i | −0.400030 | + | 1.49293i | 0.413011 | + | 0.910726i | \(0.364477\pi\) |
−0.813041 | + | 0.582206i | \(0.802190\pi\) | |||||||
\(224\) | 2.93225 | − | 1.69293i | 0.195919 | − | 0.113114i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −21.9545 | + | 21.9545i | −1.46039 | + | 1.46039i | ||||
\(227\) | −4.05001 | − | 15.1149i | −0.268809 | − | 1.00321i | −0.959878 | − | 0.280419i | \(-0.909526\pi\) |
0.691069 | − | 0.722789i | \(-0.257140\pi\) | |||||||
\(228\) | −6.68414 | + | 0.326909i | −0.442668 | + | 0.0216500i | ||||
\(229\) | −10.1244 | − | 10.1244i | −0.669036 | − | 0.669036i | 0.288457 | − | 0.957493i | \(-0.406858\pi\) |
−0.957493 | + | 0.288457i | \(0.906858\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −4.08759 | + | 1.31238i | −0.268944 | + | 0.0863485i | ||||
\(232\) | 22.1603 | + | 5.93782i | 1.45489 | + | 0.389837i | ||||
\(233\) | 7.43588i | 0.487141i | 0.969883 | + | 0.243570i | \(0.0783187\pi\) | ||||
−0.969883 | + | 0.243570i | \(0.921681\pi\) | |||||||
\(234\) | 25.7684 | + | 2.57655i | 1.68453 | + | 0.168434i | ||||
\(235\) | 0 | 0 | ||||||||
\(236\) | −4.62518 | + | 17.2614i | −0.301074 | + | 1.12362i | ||||
\(237\) | −1.05896 | − | 3.29827i | −0.0687868 | − | 0.214246i | ||||
\(238\) | −3.63397 | + | 6.29423i | −0.235556 | + | 0.407994i | ||||
\(239\) | −7.10381 | − | 7.10381i | −0.459507 | − | 0.459507i | 0.438986 | − | 0.898494i | \(-0.355338\pi\) |
−0.898494 | + | 0.438986i | \(0.855338\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 7.23205 | − | 1.93782i | 0.465857 | − | 0.124826i | −0.0182524 | − | 0.999833i | \(-0.505810\pi\) |
0.484110 | + | 0.875007i | \(0.339144\pi\) | |||||||
\(242\) | −13.4219 | − | 13.4219i | −0.862794 | − | 0.862794i | ||||
\(243\) | 15.5861 | + | 0.272062i | 0.999848 | + | 0.0174528i | ||||
\(244\) | 22.6244 | − | 13.0622i | 1.44838 | − | 0.836220i | ||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 2.60017 | + | 0.562178i | 0.165781 | + | 0.0358431i | ||||
\(247\) | 0.732051 | − | 3.66025i | 0.0465793 | − | 0.232896i | ||||
\(248\) | 26.1797 | 1.66241 | ||||||||
\(249\) | −2.69999 | − | 1.38761i | −0.171105 | − | 0.0879360i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 10.9433 | − | 18.9543i | 0.690735 | − | 1.19639i | −0.280863 | − | 0.959748i | \(-0.590621\pi\) |
0.971597 | − | 0.236640i | \(-0.0760461\pi\) | |||||||
\(252\) | −5.57097 | − | 14.8213i | −0.350938 | − | 0.933656i | ||||
\(253\) | 0 | 0 | ||||||||
\(254\) | −9.37191 | − | 34.9764i | −0.588046 | − | 2.19462i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 14.1603 | − | 24.5263i | 0.885016 | − | 1.53289i | ||||
\(257\) | −14.3737 | + | 8.29863i | −0.896604 | + | 0.517655i | −0.876097 | − | 0.482135i | \(-0.839861\pi\) |
−0.0205071 | + | 0.999790i | \(0.506528\pi\) | |||||||
\(258\) | −30.2295 | − | 15.5358i | −1.88201 | − | 0.967220i | ||||
\(259\) | 9.66025i | 0.600259i | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −6.85641 | + | 15.1149i | −0.424401 | + | 0.935586i | ||||
\(262\) | −0.562178 | + | 2.09808i | −0.0347315 | + | 0.129620i | ||||
\(263\) | −5.98604 | − | 10.3681i | −0.369115 | − | 0.639326i | 0.620312 | − | 0.784355i | \(-0.287006\pi\) |
−0.989427 | + | 0.145029i | \(0.953673\pi\) | |||||||
\(264\) | −8.45593 | + | 9.32559i | −0.520426 | + | 0.573950i | ||||
\(265\) | 0 | 0 | ||||||||
\(266\) | −3.38587 | + | 0.907241i | −0.207601 | + | 0.0556265i | ||||
\(267\) | −0.850019 | − | 17.3799i | −0.0520203 | − | 1.06363i | ||||
\(268\) | −23.1244 | + | 23.1244i | −1.41254 | + | 1.41254i | ||||
\(269\) | 9.58244 | + | 5.53242i | 0.584251 | + | 0.337318i | 0.762821 | − | 0.646610i | \(-0.223814\pi\) |
−0.178570 | + | 0.983927i | \(0.557147\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 0.535898 | − | 2.00000i | 0.0325535 | − | 0.121491i | −0.947737 | − | 0.319052i | \(-0.896635\pi\) |
0.980291 | + | 0.197561i | \(0.0633021\pi\) | |||||||
\(272\) | 5.28933i | 0.320713i | ||||||||
\(273\) | 8.77516 | − | 0.998262i | 0.531097 | − | 0.0604176i | ||||
\(274\) | −14.1244 | −0.853284 | ||||||||
\(275\) | 0 | 0 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 1.79423 | − | 3.10770i | 0.107805 | − | 0.186723i | −0.807076 | − | 0.590448i | \(-0.798951\pi\) |
0.914881 | + | 0.403724i | \(0.132285\pi\) | |||||||
\(278\) | −4.05001 | + | 4.05001i | −0.242904 | + | 0.242904i | ||||
\(279\) | −3.09333 | + | 18.6853i | −0.185193 | + | 1.11866i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −15.9006 | + | 15.9006i | −0.948547 | + | 0.948547i | −0.998740 | − | 0.0501922i | \(-0.984017\pi\) |
0.0501922 | + | 0.998740i | \(0.484017\pi\) | |||||||
\(282\) | 26.6759 | − | 29.4194i | 1.58853 | − | 1.75190i | ||||
\(283\) | −12.2942 | − | 21.2942i | −0.730816 | − | 1.26581i | −0.956535 | − | 0.291618i | \(-0.905806\pi\) |
0.225719 | − | 0.974192i | \(-0.427527\pi\) | |||||||
\(284\) | −17.2614 | − | 4.62518i | −1.02428 | − | 0.274454i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −8.39230 | − | 12.5885i | −0.496247 | − | 0.744371i | ||||
\(287\) | 0.907241 | 0.0535527 | ||||||||
\(288\) | 5.55017 | + | 4.55896i | 0.327047 | + | 0.268639i | ||||
\(289\) | −6.19615 | − | 10.7321i | −0.364480 | − | 0.631297i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 12.2025 | + | 18.9345i | 0.715320 | + | 1.10996i | ||||
\(292\) | 31.0885 | − | 8.33013i | 1.81931 | − | 0.487484i | ||||
\(293\) | −21.2669 | + | 5.69846i | −1.24243 | + | 0.332908i | −0.819407 | − | 0.573212i | \(-0.805697\pi\) |
−0.423021 | + | 0.906120i | \(0.639030\pi\) | |||||||
\(294\) | 11.2318 | + | 17.4284i | 0.655054 | + | 1.01645i | ||||
\(295\) | 0 | 0 | ||||||||
\(296\) | 14.1631 | + | 24.5313i | 0.823215 | + | 1.42585i | ||||
\(297\) | −5.65683 | − | 7.13714i | −0.328242 | − | 0.414139i | ||||
\(298\) | −13.0000 | −0.753070 | ||||||||
\(299\) | 0 | 0 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −11.1962 | − | 3.00000i | −0.645335 | − | 0.172917i | ||||
\(302\) | 12.6362 | + | 21.8866i | 0.727133 | + | 1.25943i | ||||
\(303\) | 22.9666 | − | 25.3287i | 1.31940 | − | 1.45509i | ||||
\(304\) | −1.80385 | + | 1.80385i | −0.103458 | + | 0.103458i | ||||
\(305\) | 0 | 0 | ||||||||
\(306\) | −15.2106 | − | 2.51810i | −0.869533 | − | 0.143950i | ||||
\(307\) | −12.3923 | + | 12.3923i | −0.707266 | + | 0.707266i | −0.965960 | − | 0.258693i | \(-0.916708\pi\) |
0.258693 | + | 0.965960i | \(0.416708\pi\) | |||||||
\(308\) | −4.62518 | + | 8.01105i | −0.263544 | + | 0.456472i | ||||
\(309\) | 3.66834 | + | 11.4256i | 0.208685 | + | 0.649977i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −4.29311 | −0.243440 | −0.121720 | − | 0.992564i | \(-0.538841\pi\) | ||||
−0.121720 | + | 0.992564i | \(0.538841\pi\) | |||||||
\(312\) | 20.8201 | − | 15.4005i | 1.17870 | − | 0.871879i | ||||
\(313\) | 2.00000i | 0.113047i | 0.998401 | + | 0.0565233i | \(0.0180015\pi\) | ||||
−0.998401 | + | 0.0565233i | \(0.981998\pi\) | |||||||
\(314\) | −9.41640 | + | 35.1425i | −0.531398 | + | 1.98321i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −6.46410 | − | 3.73205i | −0.363634 | − | 0.209944i | ||||
\(317\) | −11.2754 | + | 11.2754i | −0.633288 | + | 0.633288i | −0.948891 | − | 0.315603i | \(-0.897793\pi\) |
0.315603 | + | 0.948891i | \(0.397793\pi\) | |||||||
\(318\) | −0.936928 | − | 19.1569i | −0.0525403 | − | 1.07427i | ||||
\(319\) | 9.36603 | − | 2.50962i | 0.524397 | − | 0.140512i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −19.4137 | + | 21.4103i | −1.08357 | + | 1.19501i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −0.575167 | + | 2.14655i | −0.0320032 | + | 0.119437i | ||||
\(324\) | 25.2725 | − | 22.1244i | 1.40403 | − | 1.22913i | ||||
\(325\) | 0 | 0 | ||||||||
\(326\) | − | 37.0015i | − | 2.04932i | ||||||
\(327\) | 6.10851 | + | 3.13935i | 0.337801 | + | 0.173606i | ||||
\(328\) | 2.30385 | − | 1.33013i | 0.127209 | − | 0.0734440i | ||||
\(329\) | 6.77174 | − | 11.7290i | 0.373338 | − | 0.646640i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 5.05256 | + | 18.8564i | 0.277714 | + | 1.03644i | 0.954001 | + | 0.299804i | \(0.0969212\pi\) |
−0.676287 | + | 0.736638i | \(0.736412\pi\) | |||||||
\(332\) | −6.31812 | + | 1.69293i | −0.346752 | + | 0.0929118i | ||||
\(333\) | −19.1822 | + | 7.21011i | −1.05118 | + | 0.395112i | ||||
\(334\) | −14.1244 | + | 24.4641i | −0.772850 | + | 1.33862i | ||||
\(335\) | 0 | 0 | ||||||||
\(336\) | −5.36833 | − | 2.75895i | −0.292867 | − | 0.150513i | ||||
\(337\) | −11.5359 | −0.628400 | −0.314200 | − | 0.949357i | \(-0.601736\pi\) | ||||
−0.314200 | + | 0.949357i | \(0.601736\pi\) | |||||||
\(338\) | 11.8505 | + | 28.7799i | 0.644584 | + | 1.56542i | ||||
\(339\) | −21.9545 | − | 4.74673i | −1.19240 | − | 0.257807i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 9.58244 | − | 5.53242i | 0.518918 | − | 0.299597i | ||||
\(342\) | −4.32860 | − | 6.04612i | −0.234064 | − | 0.326937i | ||||
\(343\) | 12.0000 | + | 12.0000i | 0.647939 | + | 0.647939i | ||||
\(344\) | −32.8299 | + | 8.79674i | −1.77007 | + | 0.474289i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −12.5885 | − | 12.5885i | −0.676760 | − | 0.676760i | ||||
\(347\) | −12.9683 | + | 22.4618i | −0.696175 | + | 1.20581i | 0.273608 | + | 0.961841i | \(0.411783\pi\) |
−0.969783 | + | 0.243969i | \(0.921550\pi\) | |||||||
\(348\) | 10.9323 | + | 34.0502i | 0.586034 | + | 1.82528i | ||||
\(349\) | −1.50962 | + | 5.63397i | −0.0808080 | + | 0.301580i | −0.994487 | − | 0.104856i | \(-0.966562\pi\) |
0.913679 | + | 0.406436i | \(0.133228\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 8.53174 | + | 16.6796i | 0.455390 | + | 0.890292i | ||||
\(352\) | − | 4.19615i | − | 0.223656i | ||||||
\(353\) | −26.3457 | − | 7.05932i | −1.40224 | − | 0.375730i | −0.523093 | − | 0.852276i | \(-0.675222\pi\) |
−0.879149 | + | 0.476546i | \(0.841889\pi\) | |||||||
\(354\) | −18.9059 | + | 6.07001i | −1.00484 | + | 0.322617i | ||||
\(355\) | 0 | 0 | ||||||||
\(356\) | −26.5118 | − | 26.5118i | −1.40512 | − | 1.40512i | ||||
\(357\) | −5.25169 | + | 0.256850i | −0.277949 | + | 0.0135939i | ||||
\(358\) | −11.6147 | − | 43.3468i | −0.613858 | − | 2.29095i | ||||
\(359\) | −12.0611 | + | 12.0611i | −0.636559 | + | 0.636559i | −0.949705 | − | 0.313146i | \(-0.898617\pi\) |
0.313146 | + | 0.949705i | \(0.398617\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 15.5263 | − | 8.96410i | 0.817173 | − | 0.471795i | ||||
\(362\) | −1.85897 | + | 6.93777i | −0.0977053 | + | 0.364641i | ||||
\(363\) | 2.90192 | − | 13.4219i | 0.152311 | − | 0.704468i | ||||
\(364\) | 12.5622 | − | 14.2942i | 0.658437 | − | 0.749221i | ||||
\(365\) | 0 | 0 | ||||||||
\(366\) | 25.8178 | + | 13.2685i | 1.34952 | + | 0.693557i | ||||
\(367\) | −8.32051 | + | 4.80385i | −0.434327 | + | 0.250759i | −0.701188 | − | 0.712976i | \(-0.747347\pi\) |
0.266861 | + | 0.963735i | \(0.414013\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 0.677136 | + | 1.80149i | 0.0352503 | + | 0.0937819i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −1.69293 | − | 6.31812i | −0.0878928 | − | 0.328020i | ||||
\(372\) | 22.1066 | + | 34.3028i | 1.14618 | + | 1.77852i | ||||
\(373\) | 16.9641 | + | 9.79423i | 0.878368 | + | 0.507126i | 0.870120 | − | 0.492840i | \(-0.164041\pi\) |
0.00824796 | + | 0.999966i | \(0.497375\pi\) | |||||||
\(374\) | 4.50363 | + | 7.80052i | 0.232877 | + | 0.403355i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | − | 39.7128i | − | 2.04803i | ||||||
\(377\) | −19.9061 | + | 1.28380i | −1.02522 | + | 0.0661192i | ||||
\(378\) | 10.4897 | − | 14.1244i | 0.539531 | − | 0.726478i | ||||
\(379\) | 4.83013 | + | 1.29423i | 0.248107 | + | 0.0664801i | 0.380729 | − | 0.924687i | \(-0.375673\pi\) |
−0.132622 | + | 0.991167i | \(0.542340\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 17.5965 | − | 19.4062i | 0.901496 | − | 0.994211i | ||||
\(382\) | 32.8564 | + | 32.8564i | 1.68108 | + | 1.68108i | ||||
\(383\) | 3.62896 | + | 13.5435i | 0.185431 | + | 0.692039i | 0.994538 | + | 0.104377i | \(0.0332849\pi\) |
−0.809106 | + | 0.587662i | \(0.800048\pi\) | |||||||
\(384\) | 35.8697 | − | 1.75432i | 1.83047 | − | 0.0895246i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 14.9488 | + | 8.63071i | 0.760875 | + | 0.439291i | ||||
\(387\) | −2.39941 | − | 24.4711i | −0.121969 | − | 1.24394i | ||||
\(388\) | 46.8827 | + | 12.5622i | 2.38011 | + | 0.637748i | ||||
\(389\) | −5.28933 | −0.268180 | −0.134090 | − | 0.990969i | \(-0.542811\pi\) | ||||
−0.134090 | + | 0.990969i | \(0.542811\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 0 | 0 | ||||||||
\(392\) | 20.0276 | + | 5.36639i | 1.01155 | + | 0.271043i | ||||
\(393\) | −1.49616 | + | 0.480365i | −0.0754715 | + | 0.0242312i | ||||
\(394\) | −3.63397 | − | 2.09808i | −0.183077 | − | 0.105700i | ||||
\(395\) | 0 | 0 | ||||||||
\(396\) | −19.3595 | − | 3.20495i | −0.972851 | − | 0.161055i | ||||
\(397\) | −2.29423 | − | 8.56218i | −0.115144 | − | 0.429723i | 0.884154 | − | 0.467196i | \(-0.154736\pi\) |
−0.999298 | + | 0.0374729i | \(0.988069\pi\) | |||||||
\(398\) | −1.57139 | − | 1.57139i | −0.0787665 | − | 0.0787665i | ||||
\(399\) | −1.87861 | − | 1.70342i | −0.0940479 | − | 0.0852774i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −27.1314 | − | 7.26985i | −1.35488 | − | 0.363039i | −0.492946 | − | 0.870060i | \(-0.664080\pi\) |
−0.861933 | + | 0.507021i | \(0.830747\pi\) | |||||||
\(402\) | −35.5167 | − | 7.67898i | −1.77141 | − | 0.382993i | ||||
\(403\) | −21.5622 | + | 7.29423i | −1.07409 | + | 0.363351i | ||||
\(404\) | − | 73.6708i | − | 3.66526i | ||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 9.36603 | + | 16.2224i | 0.464828 | + | 0.805106i | ||||
\(407\) | 10.3681 | + | 5.98604i | 0.513929 | + | 0.296717i | ||||
\(408\) | −12.9596 | + | 8.35187i | −0.641594 | + | 0.413479i | ||||
\(409\) | −3.00962 | − | 11.2321i | −0.148816 | − | 0.555389i | −0.999556 | − | 0.0298020i | \(-0.990512\pi\) |
0.850740 | − | 0.525587i | \(-0.176154\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −5.53528 | − | 8.58908i | −0.273035 | − | 0.423668i | ||||
\(412\) | 22.3923 | + | 12.9282i | 1.10319 | + | 0.636927i | ||||
\(413\) | −5.86450 | + | 3.38587i | −0.288573 | + | 0.166608i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 0 | 0 | ||||||||
\(416\) | −1.69293 | + | 8.46467i | −0.0830029 | + | 0.415015i | ||||
\(417\) | −4.05001 | − | 0.875644i | −0.198330 | − | 0.0428805i | ||||
\(418\) | −1.12436 | + | 4.19615i | −0.0549940 | + | 0.205241i | ||||
\(419\) | −7.22536 | + | 4.17156i | −0.352982 | + | 0.203794i | −0.665998 | − | 0.745954i | \(-0.731994\pi\) |
0.313016 | + | 0.949748i | \(0.398661\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 0.830127 | − | 0.830127i | 0.0404579 | − | 0.0404579i | −0.686588 | − | 0.727046i | \(-0.740893\pi\) |
0.727046 | + | 0.686588i | \(0.240893\pi\) | |||||||
\(422\) | 7.55743 | + | 28.2047i | 0.367890 | + | 1.37298i | ||||
\(423\) | 28.3443 | + | 4.69237i | 1.37815 | + | 0.228151i | ||||
\(424\) | −13.5622 | − | 13.5622i | −0.658638 | − | 0.658638i | ||||
\(425\) | 0 | 0 | ||||||||
\(426\) | −6.07001 | − | 18.9059i | −0.294093 | − | 0.915992i | ||||
\(427\) | 9.56218 | + | 2.56218i | 0.462746 | + | 0.123992i | ||||
\(428\) | 62.2739i | 3.01012i | ||||||||
\(429\) | 4.36618 | − | 10.0368i | 0.210801 | − | 0.484579i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −0.542599 | + | 2.02501i | −0.0261361 | + | 0.0975412i | −0.977762 | − | 0.209718i | \(-0.932745\pi\) |
0.951626 | + | 0.307260i | \(0.0994120\pi\) | |||||||
\(432\) | 1.47164 | − | 12.7190i | 0.0708043 | − | 0.611943i | ||||
\(433\) | 3.52628 | − | 6.10770i | 0.169462 | − | 0.293517i | −0.768769 | − | 0.639527i | \(-0.779130\pi\) |
0.938231 | + | 0.346010i | \(0.112464\pi\) | |||||||
\(434\) | 15.1149 | + | 15.1149i | 0.725536 | + | 0.725536i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 14.2942 | − | 3.83013i | 0.684569 | − | 0.183430i | ||||
\(437\) | 0 | 0 | ||||||||
\(438\) | 26.4928 | + | 24.0222i | 1.26587 | + | 1.14782i | ||||
\(439\) | 4.09808 | − | 2.36603i | 0.195591 | − | 0.112924i | −0.399007 | − | 0.916948i | \(-0.630645\pi\) |
0.594597 | + | 0.804024i | \(0.297312\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −6.19657 | + | 13.6603i | −0.295075 | + | 0.650488i | ||||
\(442\) | −5.93782 | − | 17.5526i | −0.282433 | − | 0.834890i | ||||
\(443\) | 29.5656 | 1.40470 | 0.702351 | − | 0.711830i | \(-0.252134\pi\) | ||||
0.702351 | + | 0.711830i | \(0.252134\pi\) | |||||||
\(444\) | −20.1832 | + | 39.2723i | −0.957855 | + | 1.86378i | ||||
\(445\) | 0 | 0 | ||||||||
\(446\) | −27.6295 | + | 47.8558i | −1.30830 | + | 2.26604i | ||||
\(447\) | −5.09465 | − | 7.90535i | −0.240969 | − | 0.373910i | ||||
\(448\) | 14.5622 | − | 3.90192i | 0.687998 | − | 0.184349i | ||||
\(449\) | −2.26810 | − | 8.46467i | −0.107038 | − | 0.399472i | 0.891530 | − | 0.452961i | \(-0.149632\pi\) |
−0.998568 | + | 0.0534890i | \(0.982966\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 0.562178 | − | 0.973721i | 0.0264719 | − | 0.0458507i | ||||
\(452\) | −41.9142 | + | 24.1992i | −1.97148 | + | 1.13823i | ||||
\(453\) | −8.35723 | + | 16.2614i | −0.392657 | + | 0.764028i | ||||
\(454\) | − | 37.4641i | − | 1.75828i | ||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −7.26795 | − | 1.57139i | −0.340353 | − | 0.0735869i | ||||
\(457\) | −7.23205 | + | 26.9904i | −0.338301 | + | 1.26256i | 0.561945 | + | 0.827175i | \(0.310053\pi\) |
−0.900246 | + | 0.435382i | \(0.856613\pi\) | |||||||
\(458\) | −17.1399 | − | 29.6871i | −0.800893 | − | 1.38719i | ||||
\(459\) | −4.42972 | − | 10.2365i | −0.206761 | − | 0.477798i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 23.4135 | − | 6.27363i | 1.09048 | − | 0.292192i | 0.331595 | − | 0.943422i | \(-0.392413\pi\) |
0.758880 | + | 0.651230i | \(0.225747\pi\) | |||||||
\(462\) | −10.2662 | + | 0.502098i | −0.477625 | + | 0.0233597i | ||||
\(463\) | 15.0526 | − | 15.0526i | 0.699552 | − | 0.699552i | −0.264762 | − | 0.964314i | \(-0.585293\pi\) |
0.964314 | + | 0.264762i | \(0.0852934\pi\) | |||||||
\(464\) | 11.8060 | + | 6.81623i | 0.548082 | + | 0.316435i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −4.60770 | + | 17.1962i | −0.213447 | + | 0.796596i | ||||
\(467\) | − | 30.4728i | − | 1.41011i | −0.709151 | − | 0.705057i | \(-0.750921\pi\) | ||
0.709151 | − | 0.705057i | \(-0.249079\pi\) | |||||||
\(468\) | 37.7598 | + | 14.2757i | 1.74545 | + | 0.659896i | ||||
\(469\) | −12.3923 | −0.572223 | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −25.0605 | + | 8.04605i | −1.15473 | + | 0.370743i | ||||
\(472\) | −9.92820 | + | 17.1962i | −0.456983 | + | 0.791517i | ||||
\(473\) | −10.1576 | + | 10.1576i | −0.467047 | + | 0.467047i | ||||
\(474\) | −0.405142 | − | 8.28375i | −0.0186088 | − | 0.380485i | ||||
\(475\) | 0 | 0 | ||||||||
\(476\) | −8.01105 | + | 8.01105i | −0.367186 | + | 0.367186i | ||||
\(477\) | 11.2822 | − | 8.07727i | 0.516577 | − | 0.369833i | ||||
\(478\) | −12.0263 | − | 20.8301i | −0.550069 | − | 0.952748i | ||||
\(479\) | 8.46467 | + | 2.26810i | 0.386761 | + | 0.103632i | 0.446959 | − | 0.894554i | \(-0.352507\pi\) |
−0.0601988 | + | 0.998186i | \(0.519173\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −18.5000 | − | 16.2583i | −0.843527 | − | 0.741316i | ||||
\(482\) | 17.9256 | 0.816487 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −14.7942 | − | 25.6244i | −0.672465 | − | 1.16474i | ||||
\(485\) | 0 | 0 | ||||||||
\(486\) | 35.8756 | + | 10.2872i | 1.62735 | + | 0.466636i | ||||
\(487\) | −24.4904 | + | 6.56218i | −1.10977 | + | 0.297361i | −0.766735 | − | 0.641964i | \(-0.778120\pi\) |
−0.343030 | + | 0.939324i | \(0.611453\pi\) | |||||||
\(488\) | 28.0387 | − | 7.51294i | 1.26925 | − | 0.340095i | ||||
\(489\) | 22.5007 | − | 14.5007i | 1.01752 | − | 0.655746i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 12.5147 | + | 21.6761i | 0.564780 | + | 0.978227i | 0.997070 | + | 0.0764928i | \(0.0243722\pi\) |
−0.432290 | + | 0.901734i | \(0.642294\pi\) | |||||||
\(492\) | 3.68825 | + | 1.89551i | 0.166279 | + | 0.0854560i | ||||
\(493\) | 11.8756 | 0.534852 | ||||||||
\(494\) | 3.96104 | − | 8.01105i | 0.178215 | − | 0.360434i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 15.0263 | + | 4.02628i | 0.674700 | + | 0.180785i | ||||
\(497\) | −3.38587 | − | 5.86450i | −0.151877 | − | 0.263059i | ||||
\(498\) | −5.38413 | − | 4.88203i | −0.241269 | − | 0.218769i | ||||
\(499\) | −4.46410 | + | 4.46410i | −0.199841 | + | 0.199841i | −0.799932 | − | 0.600091i | \(-0.795131\pi\) |
0.600091 | + | 0.799932i | \(0.295131\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −20.4120 | + | 0.998312i | −0.911941 | + | 0.0446013i | ||||
\(502\) | 37.0526 | − | 37.0526i | 1.65374 | − | 1.65374i | ||||
\(503\) | 14.3292 | − | 24.8188i | 0.638906 | − | 1.10662i | −0.346767 | − | 0.937951i | \(-0.612721\pi\) |
0.985673 | − | 0.168666i | \(-0.0539460\pi\) | |||||||
\(504\) | −1.71682 | − | 17.5095i | −0.0764733 | − | 0.779936i | ||||
\(505\) | 0 | 0 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −12.8570 | + | 18.4851i | −0.570998 | + | 0.820951i | ||||
\(508\) | − | 56.4449i | − | 2.50434i | ||||||
\(509\) | −3.88398 | + | 14.4952i | −0.172154 | + | 0.642489i | 0.824865 | + | 0.565330i | \(0.191251\pi\) |
−0.997019 | + | 0.0771582i | \(0.975415\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 10.5622 | + | 6.09808i | 0.467243 | + | 0.269763i | ||||
\(512\) | 18.6223 | − | 18.6223i | 0.822996 | − | 0.822996i | ||||
\(513\) | 1.98031 | − | 5.00169i | 0.0874328 | − | 0.220830i | ||||
\(514\) | −38.3827 | + | 10.2846i | −1.69299 | + | 0.453635i | ||||
\(515\) | 0 | 0 | ||||||||
\(516\) | −39.2484 | − | 35.5883i | −1.72781 | − | 1.56669i | ||||
\(517\) | −8.39230 | − | 14.5359i | −0.369093 | − | 0.639288i | ||||
\(518\) | −5.98604 | + | 22.3402i | −0.263012 | + | 0.981573i | ||||
\(519\) | 2.72172 | − | 12.5885i | 0.119470 | − | 0.552572i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | − | 33.2835i | − | 1.45818i | −0.684419 | − | 0.729089i | \(-0.739944\pi\) | ||
0.684419 | − | 0.729089i | \(-0.260056\pi\) | |||||||
\(522\) | −25.2221 | + | 30.7059i | −1.10394 | + | 1.34396i | ||||
\(523\) | 11.2417 | − | 6.49038i | 0.491564 | − | 0.283805i | −0.233659 | − | 0.972319i | \(-0.575070\pi\) |
0.725223 | + | 0.688514i | \(0.241737\pi\) | |||||||
\(524\) | −1.69293 | + | 2.93225i | −0.0739562 | + | 0.128096i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −7.41858 | − | 27.6865i | −0.323466 | − | 1.20719i | ||||
\(527\) | 13.0899 | − | 3.50742i | 0.570203 | − | 0.152785i | ||||
\(528\) | −6.28764 | + | 4.05211i | −0.273634 | + | 0.176345i | ||||
\(529\) | −11.5000 | + | 19.9186i | −0.500000 | + | 0.866025i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −11.1003 | − | 9.11792i | −0.481713 | − | 0.395684i | ||||
\(532\) | −5.46410 | −0.236899 | ||||||||
\(533\) | −1.52690 | + | 1.73742i | −0.0661373 | + | 0.0752562i | ||||
\(534\) | 8.80385 | − | 40.7194i | 0.380980 | − | 1.76210i | ||||
\(535\) | 0 | 0 | ||||||||
\(536\) | −31.4690 | + | 18.1687i | −1.35926 | + | 0.784766i | ||||
\(537\) | 21.8076 | − | 24.0504i | 0.941066 | − | 1.03785i | ||||
\(538\) | 18.7321 | + | 18.7321i | 0.807596 | + | 0.807596i | ||||
\(539\) | 8.46467 | − | 2.26810i | 0.364599 | − | 0.0976940i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 23.6865 | + | 23.6865i | 1.01836 | + | 1.01836i | 0.999828 | + | 0.0185354i | \(0.00590034\pi\) |
0.0185354 | + | 0.999828i | \(0.494100\pi\) | |||||||
\(542\) | 2.47863 | − | 4.29311i | 0.106466 | − | 0.184405i | ||||
\(543\) | −4.94741 | + | 1.58844i | −0.212314 | + | 0.0681664i | ||||
\(544\) | 1.33013 | − | 4.96410i | 0.0570287 | − | 0.212834i | ||||
\(545\) | 0 | 0 | ||||||||
\(546\) | 20.9119 | + | 3.12902i | 0.894948 | + | 0.133910i | ||||
\(547\) | − | 2.00000i | − | 0.0855138i | −0.999086 | − | 0.0427569i | \(-0.986386\pi\) | ||
0.999086 | − | 0.0427569i | \(-0.0136141\pi\) | |||||||
\(548\) | −21.2669 | − | 5.69846i | −0.908479 | − | 0.243426i | ||||
\(549\) | 2.04924 | + | 20.8998i | 0.0874593 | + | 0.891981i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 4.05001 | + | 4.05001i | 0.172536 | + | 0.172536i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −0.732051 | − | 2.73205i | −0.0311300 | − | 0.116179i | ||||
\(554\) | 6.07502 | − | 6.07502i | 0.258103 | − | 0.258103i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −7.73205 | + | 4.46410i | −0.327912 | + | 0.189320i | ||||
\(557\) | 10.5342 | − | 39.3140i | 0.446347 | − | 1.66579i | −0.266009 | − | 0.963971i | \(-0.585705\pi\) |
0.712355 | − | 0.701819i | \(-0.247628\pi\) | |||||||
\(558\) | −18.7321 | + | 41.2946i | −0.792991 | + | 1.74814i | ||||
\(559\) | 24.5885 | − | 16.3923i | 1.03998 | − | 0.693321i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −2.97857 | + | 5.79567i | −0.125755 | + | 0.244693i | ||||
\(562\) | −46.6244 | + | 26.9186i | −1.96673 | + | 1.13549i | ||||
\(563\) | −3.71794 | − | 2.14655i | −0.156693 | − | 0.0904665i | 0.419603 | − | 0.907708i | \(-0.362169\pi\) |
−0.576296 | + | 0.817241i | \(0.695502\pi\) | |||||||
\(564\) | 52.0350 | − | 33.5342i | 2.19107 | − | 1.41205i | ||||
\(565\) | 0 | 0 | ||||||||
\(566\) | −15.2364 | − | 56.8630i | −0.640434 | − | 2.39013i | ||||
\(567\) | 12.6999 | + | 0.843533i | 0.533347 | + | 0.0354250i | ||||
\(568\) | −17.1962 | − | 9.92820i | −0.721535 | − | 0.416578i | ||||
\(569\) | 8.01105 | + | 13.8755i | 0.335841 | + | 0.581693i | 0.983646 | − | 0.180113i | \(-0.0576463\pi\) |
−0.647805 | + | 0.761806i | \(0.724313\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 40.0526i | 1.67615i | 0.545557 | + | 0.838074i | \(0.316318\pi\) | ||||
−0.545557 | + | 0.838074i | \(0.683682\pi\) | |||||||
\(572\) | −7.55743 | − | 22.3402i | −0.315992 | − | 0.934091i | ||||
\(573\) | −7.10381 | + | 32.8564i | −0.296766 | + | 1.37260i | ||||
\(574\) | 2.09808 | + | 0.562178i | 0.0875720 | + | 0.0234648i | ||||
\(575\) | 0 | 0 | ||||||||
\(576\) | 18.6167 | + | 26.0036i | 0.775697 | + | 1.08348i | ||||
\(577\) | −3.49038 | − | 3.49038i | −0.145306 | − | 0.145306i | 0.630711 | − | 0.776018i | \(-0.282763\pi\) |
−0.776018 | + | 0.630711i | \(0.782763\pi\) | |||||||
\(578\) | −7.67898 | − | 28.6583i | −0.319403 | − | 1.19203i | ||||
\(579\) | 0.610020 | + | 12.4728i | 0.0253516 | + | 0.518351i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −2.14655 | − | 1.23931i | −0.0890541 | − | 0.0514154i | ||||
\(582\) | 16.4864 | + | 51.3491i | 0.683383 | + | 2.12849i | ||||
\(583\) | −7.83013 | − | 2.09808i | −0.324291 | − | 0.0868934i | ||||
\(584\) | 35.7621 | 1.47985 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −52.7128 | −2.17755 | ||||||||
\(587\) | 19.4080 | + | 5.20035i | 0.801053 | + | 0.214641i | 0.636046 | − | 0.771651i | \(-0.280569\pi\) |
0.165006 | + | 0.986292i | \(0.447235\pi\) | |||||||
\(588\) | 9.88023 | + | 30.7733i | 0.407454 | + | 1.26907i | ||||
\(589\) | 5.66025 | + | 3.26795i | 0.233227 | + | 0.134654i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −0.148292 | − | 3.03206i | −0.00609993 | − | 0.124722i | ||||
\(592\) | 4.35641 | + | 16.2583i | 0.179047 | + | 0.668213i | ||||
\(593\) | −10.6112 | − | 10.6112i | −0.435751 | − | 0.435751i | 0.454828 | − | 0.890579i | \(-0.349701\pi\) |
−0.890579 | + | 0.454828i | \(0.849701\pi\) | |||||||
\(594\) | −8.65935 | − | 20.0106i | −0.355297 | − | 0.821044i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | −19.5740 | − | 5.24484i | −0.801782 | − | 0.214837i | ||||
\(597\) | 0.339746 | − | 1.57139i | 0.0139049 | − | 0.0643126i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | − | 21.2224i | − | 0.867126i | −0.901123 | − | 0.433563i | \(-0.857256\pi\) | ||
0.901123 | − | 0.433563i | \(-0.142744\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 3.79423 | + | 6.57180i | 0.154770 | + | 0.268069i | 0.932975 | − | 0.359941i | \(-0.117203\pi\) |
−0.778205 | + | 0.628010i | \(0.783870\pi\) | |||||||
\(602\) | −24.0331 | − | 13.8755i | −0.979518 | − | 0.565525i | ||||
\(603\) | −9.24923 | − | 24.6072i | −0.376658 | − | 1.00208i | ||||
\(604\) | 10.1962 | + | 38.0526i | 0.414876 | + | 1.54834i | ||||
\(605\) | 0 | 0 | ||||||||
\(606\) | 68.8075 | − | 44.3434i | 2.79511 | − | 1.80133i | ||||
\(607\) | 8.83013 | + | 5.09808i | 0.358404 | + | 0.206925i | 0.668380 | − | 0.743820i | \(-0.266988\pi\) |
−0.309977 | + | 0.950744i | \(0.600321\pi\) | |||||||
\(608\) | 2.14655 | − | 1.23931i | 0.0870543 | − | 0.0502608i | ||||
\(609\) | −6.19441 | + | 12.0530i | −0.251010 | + | 0.488413i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 11.0648 | + | 32.7083i | 0.447636 | + | 1.32324i | ||||
\(612\) | −21.8866 | − | 9.92820i | −0.884713 | − | 0.401324i | ||||
\(613\) | −4.38269 | + | 16.3564i | −0.177015 | + | 0.660629i | 0.819185 | + | 0.573530i | \(0.194426\pi\) |
−0.996200 | + | 0.0870991i | \(0.972240\pi\) | |||||||
\(614\) | −36.3373 | + | 20.9794i | −1.46645 | + | 0.846658i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −7.26795 | + | 7.26795i | −0.292834 | + | 0.292834i | ||||
\(617\) | 9.74847 | + | 36.3818i | 0.392459 | + | 1.46468i | 0.826066 | + | 0.563574i | \(0.190574\pi\) |
−0.433607 | + | 0.901102i | \(0.642759\pi\) | |||||||
\(618\) | 1.40345 | + | 28.6957i | 0.0564552 | + | 1.15431i | ||||
\(619\) | 14.3397 | + | 14.3397i | 0.576363 | + | 0.576363i | 0.933899 | − | 0.357536i | \(-0.116383\pi\) |
−0.357536 | + | 0.933899i | \(0.616383\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −9.92820 | − | 2.66025i | −0.398085 | − | 0.106666i | ||||
\(623\) | − | 14.2076i | − | 0.569216i | ||||||
\(624\) | 14.3185 | − | 5.63735i | 0.573200 | − | 0.225675i | ||||
\(625\) | 0 | 0 | ||||||||
\(626\) | −1.23931 | + | 4.62518i | −0.0495329 | + | 0.184859i | ||||
\(627\) | −2.99233 | + | 0.960731i | −0.119502 | + | 0.0383679i | ||||
\(628\) | −28.3564 | + | 49.1147i | −1.13154 | + | 1.95989i | ||||
\(629\) | 10.3681 | + | 10.3681i | 0.413404 | + | 0.413404i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 2.26795 | − | 0.607695i | 0.0902856 | − | 0.0241920i | −0.213393 | − | 0.976966i | \(-0.568452\pi\) |
0.303679 | + | 0.952774i | \(0.401785\pi\) | |||||||
\(632\) | −5.86450 | − | 5.86450i | −0.233277 | − | 0.233277i | ||||
\(633\) | −14.1897 | + | 15.6490i | −0.563989 | + | 0.621993i | ||||
\(634\) | −33.0622 | + | 19.0885i | −1.31307 | + | 0.758099i | ||||
\(635\) | 0 | 0 | ||||||||
\(636\) | 6.31812 | − | 29.2224i | 0.250530 | − | 1.15874i | ||||
\(637\) | −17.9904 | + | 1.16025i | −0.712805 | + | 0.0459709i | ||||
\(638\) | 23.2149 | 0.919086 | ||||||||
\(639\) | 9.11792 | − | 11.1003i | 0.360699 | − | 0.439122i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 9.65949 | − | 16.7307i | 0.381527 | − | 0.660824i | −0.609754 | − | 0.792591i | \(-0.708732\pi\) |
0.991281 | + | 0.131767i | \(0.0420650\pi\) | |||||||
\(642\) | −58.1629 | + | 37.4835i | −2.29551 | + | 1.47935i | ||||
\(643\) | −26.1244 | + | 7.00000i | −1.03024 | + | 0.276053i | −0.734065 | − | 0.679079i | \(-0.762379\pi\) |
−0.296179 | + | 0.955132i | \(0.595713\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −2.66025 | + | 4.60770i | −0.104666 | + | 0.181287i | ||||
\(647\) | −12.5147 | + | 7.22536i | −0.492003 | + | 0.284058i | −0.725405 | − | 0.688322i | \(-0.758348\pi\) |
0.233402 | + | 0.972380i | \(0.425014\pi\) | |||||||
\(648\) | 33.4870 | − | 16.4776i | 1.31549 | − | 0.647302i | ||||
\(649\) | 8.39230i | 0.329427i | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −3.26795 | + | 15.1149i | −0.128081 | + | 0.592398i | ||||
\(652\) | 14.9282 | − | 55.7128i | 0.584634 | − | 2.18188i | ||||
\(653\) | 19.4080 | + | 33.6156i | 0.759492 | + | 1.31548i | 0.943110 | + | 0.332482i | \(0.107886\pi\) |
−0.183617 | + | 0.982998i | \(0.558781\pi\) | |||||||
\(654\) | 12.1812 | + | 11.0452i | 0.476321 | + | 0.431902i | ||||
\(655\) | 0 | 0 | ||||||||
\(656\) | 1.52690 | − | 0.409131i | 0.0596153 | − | 0.0159739i | ||||
\(657\) | −4.22556 | + | 25.5245i | −0.164855 | + | 0.995807i | ||||
\(658\) | 22.9282 | − | 22.9282i | 0.893834 | − | 0.893834i | ||||
\(659\) | 27.1759 | + | 15.6900i | 1.05862 | + | 0.611197i | 0.925051 | − | 0.379842i | \(-0.124022\pi\) |
0.133572 | + | 0.991039i | \(0.457355\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −4.42820 | + | 16.5263i | −0.172237 | + | 0.642798i | 0.824769 | + | 0.565470i | \(0.191305\pi\) |
−0.997006 | + | 0.0773274i | \(0.975361\pi\) | |||||||
\(662\) | 46.7380i | 1.81652i | ||||||||
\(663\) | 8.34677 | − | 10.4896i | 0.324162 | − | 0.407382i | ||||
\(664\) | −7.26795 | −0.282051 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −48.8284 | + | 4.78766i | −1.89206 | + | 0.185518i | ||||
\(667\) | 0 | 0 | ||||||||
\(668\) | −31.1370 | + | 31.1370i | −1.20473 | + | 1.20473i | ||||
\(669\) | −39.9292 | + | 1.95286i | −1.54375 | + | 0.0755019i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 8.67520 | − | 8.67520i | 0.334902 | − | 0.334902i | ||||
\(672\) | 4.34444 | + | 3.93930i | 0.167591 | + | 0.151962i | ||||
\(673\) | −6.35641 | − | 11.0096i | −0.245021 | − | 0.424390i | 0.717116 | − | 0.696954i | \(-0.245462\pi\) |
−0.962138 | + | 0.272564i | \(0.912128\pi\) | |||||||
\(674\) | −26.6778 | − | 7.14830i | −1.02759 | − | 0.275342i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 6.23205 | + | 48.1147i | 0.239694 | + | 1.85057i | ||||
\(677\) | 38.8159 | 1.49182 | 0.745909 | − | 0.666048i | \(-0.232015\pi\) | ||||
0.745909 | + | 0.666048i | \(0.232015\pi\) | |||||||
\(678\) | −47.8304 | − | 24.5815i | −1.83692 | − | 0.944046i | ||||
\(679\) | 9.19615 | + | 15.9282i | 0.352916 | + | 0.611268i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 22.7821 | − | 14.6820i | 0.873011 | − | 0.562617i | ||||
\(682\) | 25.5885 | − | 6.85641i | 0.979833 | − | 0.262545i | ||||
\(683\) | −15.9006 | + | 4.26054i | −0.608418 | + | 0.163025i | −0.549857 | − | 0.835259i | \(-0.685318\pi\) |
−0.0585607 | + | 0.998284i | \(0.518651\pi\) | |||||||
\(684\) | −4.07823 | − | 10.8500i | −0.155935 | − | 0.414859i | ||||
\(685\) | 0 | 0 | ||||||||
\(686\) | 20.3152 | + | 35.1870i | 0.775638 | + | 1.34344i | ||||
\(687\) | 11.3358 | − | 22.0571i | 0.432488 | − | 0.841530i | ||||
\(688\) | −20.1962 | −0.769971 | ||||||||
\(689\) | 14.9488 | + | 7.39139i | 0.569505 | + | 0.281590i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −41.8827 | − | 11.2224i | −1.59329 | − | 0.426921i | −0.650284 | − | 0.759691i | \(-0.725350\pi\) |
−0.943008 | + | 0.332770i | \(0.892017\pi\) | |||||||
\(692\) | −13.8755 | − | 24.0331i | −0.527469 | − | 0.913603i | ||||
\(693\) | −4.32860 | − | 6.04612i | −0.164430 | − | 0.229673i | ||||
\(694\) | −43.9090 | + | 43.9090i | −1.66676 | + | 1.66676i | ||||
\(695\) | 0 | 0 | ||||||||
\(696\) | 1.94112 | + | 39.6892i | 0.0735781 | + | 1.50442i | ||||
\(697\) | 0.973721 | − | 0.973721i | 0.0368823 | − | 0.0368823i | ||||
\(698\) | −6.98226 | + | 12.0936i | −0.264283 | + | 0.457751i | ||||
\(699\) | −12.2628 | + | 3.93715i | −0.463821 | + | 0.148917i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −20.3152 | −0.767295 | −0.383647 | − | 0.923480i | \(-0.625332\pi\) | ||||
−0.383647 | + | 0.923480i | \(0.625332\pi\) | |||||||
\(702\) | 9.39478 | + | 43.8599i | 0.354583 | + | 1.65538i | ||||
\(703\) | 7.07180i | 0.266718i | ||||||||
\(704\) | 4.83571 | − | 18.0471i | 0.182253 | − | 0.680176i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −56.5526 | − | 32.6506i | −2.12838 | − | 1.22882i | ||||
\(707\) | 19.7400 | − | 19.7400i | 0.742401 | − | 0.742401i | ||||
\(708\) | −30.9154 | + | 1.51201i | −1.16187 | + | 0.0568249i | ||||
\(709\) | 9.96410 | − | 2.66987i | 0.374210 | − | 0.100269i | −0.0668121 | − | 0.997766i | \(-0.521283\pi\) |
0.441022 | + | 0.897496i | \(0.354616\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 4.87861 | − | 3.49274i | 0.182962 | − | 0.130988i | ||||
\(712\) | −20.8301 | − | 36.0788i | −0.780642 | − | 1.35211i | ||||
\(713\) | 0 | 0 | ||||||||
\(714\) | −12.3042 | − | 2.66025i | −0.460472 | − | 0.0995575i | ||||
\(715\) | 0 | 0 | ||||||||
\(716\) | − | 69.9529i | − | 2.61426i | ||||||
\(717\) | 7.95383 | − | 15.4765i | 0.297041 | − | 0.577979i | ||||
\(718\) | −35.3660 | + | 20.4186i | −1.31985 | + | 0.762015i | ||||
\(719\) | −5.86450 | + | 10.1576i | −0.218709 | + | 0.378815i | −0.954413 | − | 0.298488i | \(-0.903518\pi\) |
0.735705 | + | 0.677302i | \(0.236851\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 2.53590 | + | 9.46410i | 0.0944418 | + | 0.352462i | ||||
\(722\) | 41.4606 | − | 11.1093i | 1.54300 | − | 0.413447i | ||||
\(723\) | 7.02496 | + | 10.9006i | 0.261261 | + | 0.405398i | ||||
\(724\) | −5.59808 | + | 9.69615i | −0.208051 | + | 0.360355i | ||||
\(725\) | 0 | 0 | ||||||||
\(726\) | 15.0279 | − | 29.2412i | 0.557740 | − | 1.08524i | ||||
\(727\) | 25.5167 | 0.946361 | 0.473180 | − | 0.880966i | \(-0.343106\pi\) | ||||
0.473180 | + | 0.880966i | \(0.343106\pi\) | |||||||
\(728\) | 17.5935 | − | 11.7290i | 0.652058 | − | 0.434705i | ||||
\(729\) | 7.80385 | + | 25.8476i | 0.289031 | + | 0.957320i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −15.2364 | + | 8.79674i | −0.563539 | + | 0.325359i | ||||
\(732\) | 33.5205 | + | 30.3945i | 1.23895 | + | 1.12341i | ||||
\(733\) | −36.2224 | − | 36.2224i | −1.33791 | − | 1.33791i | −0.898086 | − | 0.439820i | \(-0.855042\pi\) |
−0.439820 | − | 0.898086i | \(-0.644958\pi\) | |||||||
\(734\) | −22.2187 | + | 5.95347i | −0.820106 | + | 0.219747i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −7.67898 | + | 13.3004i | −0.282859 | + | 0.489926i | ||||
\(738\) | 0.449632 | + | 4.58570i | 0.0165512 | + | 0.168802i | ||||
\(739\) | −13.1244 | + | 48.9808i | −0.482787 | + | 1.80179i | 0.107037 | + | 0.994255i | \(0.465864\pi\) |
−0.589825 | + | 0.807531i | \(0.700803\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 6.42386 | − | 0.730778i | 0.235987 | − | 0.0268458i | ||||
\(742\) | − | 15.6603i | − | 0.574906i | ||||||
\(743\) | 50.5449 | + | 13.5435i | 1.85431 | + | 0.496862i | 0.999747 | − | 0.0224808i | \(-0.00715645\pi\) |
0.854566 | + | 0.519343i | \(0.173823\pi\) | |||||||
\(744\) | 13.8616 | + | 43.1739i | 0.508192 | + | 1.58283i | ||||
\(745\) | 0 | 0 | ||||||||
\(746\) | 33.1620 | + | 33.1620i | 1.21415 | + | 1.21415i | ||||
\(747\) | 0.858763 | − | 5.18736i | 0.0314205 | − | 0.189796i | ||||
\(748\) | 3.63397 | + | 13.5622i | 0.132871 | + | 0.495882i | ||||
\(749\) | −16.6862 | + | 16.6862i | −0.609702 | + | 0.609702i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 38.2750 | − | 22.0981i | 1.39667 | − | 0.806370i | 0.402632 | − | 0.915362i | \(-0.368096\pi\) |
0.994043 | + | 0.108992i | \(0.0347622\pi\) | |||||||
\(752\) | 6.10759 | − | 22.7938i | 0.222721 | − | 0.831206i | ||||
\(753\) | 37.0526 | + | 8.01105i | 1.35027 | + | 0.291939i | ||||
\(754\) | −46.8301 | − | 9.36603i | −1.70545 | − | 0.341091i | ||||
\(755\) | 0 | 0 | ||||||||
\(756\) | 21.4927 | − | 17.0349i | 0.781681 | − | 0.619553i | ||||
\(757\) | 21.4641 | − | 12.3923i | 0.780126 | − | 0.450406i | −0.0563489 | − | 0.998411i | \(-0.517946\pi\) |
0.836475 | + | 0.548005i | \(0.184613\pi\) | |||||||
\(758\) | 10.3681 | + | 5.98604i | 0.376587 | + | 0.217423i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 1.11777 | + | 4.17156i | 0.0405190 | + | 0.151219i | 0.983222 | − | 0.182415i | \(-0.0583916\pi\) |
−0.942703 | + | 0.333634i | \(0.891725\pi\) | |||||||
\(762\) | 52.7187 | − | 33.9749i | 1.90980 | − | 1.23078i | ||||
\(763\) | 4.85641 | + | 2.80385i | 0.175814 | + | 0.101506i | ||||
\(764\) | 36.2158 | + | 62.7275i | 1.31024 | + | 2.26940i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 33.5692i | 1.21291i | ||||||||
\(767\) | 3.38587 | − | 16.9293i | 0.122257 | − | 0.611283i | ||||
\(768\) | 47.9447 | + | 10.3660i | 1.73006 | + | 0.374052i | ||||
\(769\) | 2.16987 | + | 0.581416i | 0.0782476 | + | 0.0209664i | 0.297730 | − | 0.954650i | \(-0.403770\pi\) |
−0.219483 | + | 0.975616i | \(0.570437\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −21.2961 | − | 19.3102i | −0.766962 | − | 0.695438i | ||||
\(772\) | 19.0263 | + | 19.0263i | 0.684771 | + | 0.684771i | ||||
\(773\) | −1.60396 | − | 5.98604i | −0.0576903 | − | 0.215303i | 0.931063 | − | 0.364858i | \(-0.118883\pi\) |
−0.988753 | + | 0.149555i | \(0.952216\pi\) | |||||||
\(774\) | 9.61484 | − | 58.0785i | 0.345598 | − | 2.08759i | ||||
\(775\) | 0 | 0 | ||||||||
\(776\) | 46.7054 | + | 26.9654i | 1.67663 | + | 0.968001i | ||||
\(777\) | −15.9311 | + | 5.11491i | −0.571524 | + | 0.183496i | ||||
\(778\) | −12.2321 | − | 3.27757i | −0.438540 | − | 0.117507i | ||||
\(779\) | 0.664146 | 0.0237955 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −8.39230 | −0.300300 | ||||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −28.5568 | − | 3.30414i | −1.02054 | − | 0.118080i | ||||
\(784\) | 10.6699 | + | 6.16025i | 0.381067 | + | 0.220009i | ||||
\(785\) | 0 | 0 | ||||||||
\(786\) | −3.75768 | + | 0.183781i | −0.134032 | + | 0.00655524i | ||||
\(787\) | 3.02628 | + | 11.2942i | 0.107875 | + | 0.402596i | 0.998655 | − | 0.0518385i | \(-0.0165081\pi\) |
−0.890780 | + | 0.454434i | \(0.849841\pi\) | |||||||
\(788\) | −4.62518 | − | 4.62518i | −0.164765 | − | 0.164765i | ||||
\(789\) | 13.9290 | − | 15.3615i | 0.495885 | − | 0.546884i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −17.7150 | − | 4.74673i | −0.629874 | − | 0.168774i | ||||
\(792\) | −19.8564 | − | 9.00727i | −0.705567 | − | 0.320059i | ||||
\(793\) | −21.0000 | + | 14.0000i | −0.745732 | + | 0.497155i | ||||
\(794\) | − | 21.2224i | − | 0.753157i | ||||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −1.73205 | − | 3.00000i | −0.0613909 | − | 0.106332i | ||||
\(797\) | 14.8718 | + | 8.58622i | 0.526785 | + | 0.304139i | 0.739706 | − | 0.672930i | \(-0.234964\pi\) |
−0.212921 | + | 0.977069i | \(0.568298\pi\) | |||||||
\(798\) | −3.28891 | − | 5.10339i | −0.116426 | − | 0.180658i | ||||
\(799\) | −5.32051 | − | 19.8564i | −0.188226 | − | 0.702469i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 28.2118 | − | 10.6041i | 0.996815 | − | 0.374678i | ||||
\(802\) | −58.2391 | − | 33.6244i | −2.05649 | − | 1.18732i | ||||
\(803\) | 13.0899 | − | 7.55743i | 0.461931 | − | 0.266696i | ||||
\(804\) | −50.3791 | − | 25.8913i | −1.77673 | − | 0.913117i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | −54.3844 | + | 3.50742i | −1.91561 | + | 0.123543i | ||||
\(807\) | −4.05001 | + | 18.7321i | −0.142567 | + | 0.659399i | ||||
\(808\) | 21.1865 | − | 79.0692i | 0.745340 | − | 2.78165i | ||||
\(809\) | 17.6705 | − | 10.2021i | 0.621263 | − | 0.358686i | −0.156097 | − | 0.987742i | \(-0.549891\pi\) |
0.777361 | + | 0.629055i | \(0.216558\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 19.0000 | − | 19.0000i | 0.667180 | − | 0.667180i | −0.289882 | − | 0.957062i | \(-0.593616\pi\) |
0.957062 | + | 0.289882i | \(0.0936161\pi\) | |||||||
\(812\) | 7.55743 | + | 28.2047i | 0.265214 | + | 0.989791i | ||||
\(813\) | 3.58202 | − | 0.175190i | 0.125627 | − | 0.00614417i | ||||
\(814\) | 20.2679 | + | 20.2679i | 0.710391 | + | 0.710391i | ||||
\(815\) | 0 | 0 | ||||||||
\(816\) | −8.72282 | + | 2.80059i | −0.305360 | + | 0.0980403i | ||||
\(817\) | −8.19615 | − | 2.19615i | −0.286747 | − | 0.0768336i | ||||
\(818\) | − | 27.8401i | − | 0.973405i | ||||||
\(819\) | 6.29254 | + | 13.9429i | 0.219879 | + | 0.487204i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 1.60396 | − | 5.98604i | 0.0559784 | − | 0.208914i | −0.932272 | − | 0.361758i | \(-0.882177\pi\) |
0.988250 | + | 0.152844i | \(0.0488432\pi\) | |||||||
\(822\) | −7.47856 | − | 23.2930i | −0.260845 | − | 0.812436i | ||||
\(823\) | −7.73205 | + | 13.3923i | −0.269522 | + | 0.466826i | −0.968739 | − | 0.248084i | \(-0.920199\pi\) |
0.699216 | + | 0.714910i | \(0.253532\pi\) | |||||||
\(824\) | 20.3152 | + | 20.3152i | 0.707714 | + | 0.707714i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −15.6603 | + | 4.19615i | −0.544890 | + | 0.146003i | ||||
\(827\) | −3.62896 | − | 3.62896i | −0.126191 | − | 0.126191i | 0.641190 | − | 0.767382i | \(-0.278441\pi\) |
−0.767382 | + | 0.641190i | \(0.778441\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 20.6769 | − | 11.9378i | 0.718139 | − | 0.414618i | −0.0959284 | − | 0.995388i | \(-0.530582\pi\) |
0.814067 | + | 0.580771i | \(0.197249\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 6.07502 | + | 1.31347i | 0.210740 | + | 0.0455636i | ||||
\(832\) | −17.0359 | + | 34.4545i | −0.590614 | + | 1.19449i | ||||
\(833\) | 10.7328 | 0.371868 | ||||||||
\(834\) | −8.82343 | − | 4.53463i | −0.305530 | − | 0.157021i | ||||
\(835\) | 0 | 0 | ||||||||
\(836\) | −3.38587 | + | 5.86450i | −0.117103 | + | 0.202828i | ||||
\(837\) | −32.4524 | + | 4.79215i | −1.12172 | + | 0.165641i | ||||
\(838\) | −19.2942 | + | 5.16987i | −0.666508 | + | 0.178590i | ||||
\(839\) | 2.02501 | + | 7.55743i | 0.0699110 | + | 0.260911i | 0.992031 | − | 0.125992i | \(-0.0402114\pi\) |
−0.922120 | + | 0.386903i | \(0.873545\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 0.803848 | − | 1.39230i | 0.0277189 | − | 0.0480105i | ||||
\(842\) | 2.43414 | − | 1.40535i | 0.0838859 | − | 0.0484316i | ||||
\(843\) | −34.6412 | − | 17.8032i | −1.19311 | − | 0.613173i | ||||
\(844\) | 45.5167i | 1.56675i | ||||||||
\(845\) | 0 | 0 | ||||||||
\(846\) | 62.6410 | + | 28.4152i | 2.15364 | + | 0.976936i | ||||
\(847\) | 2.90192 | − | 10.8301i | 0.0997113 | − | 0.372128i | ||||
\(848\) | −5.69846 | − | 9.87002i | −0.195686 | − | 0.338938i | ||||
\(849\) | 28.6075 | − | 31.5497i | 0.981808 | − | 1.08278i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 0 | 0 | ||||||||
\(852\) | −1.51201 | − | 30.9154i | −0.0518007 | − | 1.05914i | ||||
\(853\) | 20.6340 | − | 20.6340i | 0.706494 | − | 0.706494i | −0.259302 | − | 0.965796i | \(-0.583493\pi\) |
0.965796 | + | 0.259302i | \(0.0834926\pi\) | |||||||
\(854\) | 20.5257 | + | 11.8505i | 0.702376 | + | 0.405517i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −17.9090 | + | 66.8372i | −0.612116 | + | 2.28445i | ||||
\(857\) | − | 35.7621i | − | 1.22161i | −0.791781 | − | 0.610806i | \(-0.790846\pi\) | ||
0.791781 | − | 0.610806i | \(-0.209154\pi\) | |||||||
\(858\) | 16.3165 | − | 20.5054i | 0.557037 | − | 0.700042i | ||||
\(859\) | 23.1769 | 0.790786 | 0.395393 | − | 0.918512i | \(-0.370608\pi\) | ||||
0.395393 | + | 0.918512i | \(0.370608\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 0.480365 | + | 1.49616i | 0.0163708 | + | 0.0509891i | ||||
\(862\) | −2.50962 | + | 4.34679i | −0.0854780 | + | 0.148052i | ||||
\(863\) | 12.0611 | − | 12.0611i | 0.410563 | − | 0.410563i | −0.471371 | − | 0.881935i | \(-0.656241\pi\) |
0.881935 | + | 0.471371i | \(0.156241\pi\) | |||||||
\(864\) | −4.57965 | + | 11.5669i | −0.155803 | + | 0.393513i | ||||
\(865\) | 0 | 0 | ||||||||
\(866\) | 11.9395 | − | 11.9395i | 0.405721 | − | 0.405721i | ||||
\(867\) | 14.4179 | − | 15.9007i | 0.489657 | − | 0.540016i | ||||
\(868\) | 16.6603 | + | 28.8564i | 0.565486 | + | 0.979450i | ||||
\(869\) | −3.38587 | − | 0.907241i | −0.114858 | − | 0.0307760i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 20.8564 | − | 23.7321i | 0.706692 | − | 0.804130i | ||||
\(872\) | 16.4432 | 0.556835 | ||||||||
\(873\) | −24.7646 | + | 30.1489i | −0.838156 | + | 1.02039i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | 30.1982 | + | 46.8585i | 1.02030 | + | 1.58320i | ||||
\(877\) | 11.2321 | − | 3.00962i | 0.379279 | − | 0.101628i | −0.0641422 | − | 0.997941i | \(-0.520431\pi\) |
0.443422 | + | 0.896313i | \(0.353764\pi\) | |||||||
\(878\) | 10.9433 | − | 2.93225i | 0.369318 | − | 0.0989586i | ||||
\(879\) | −20.6579 | − | 32.0549i | −0.696775 | − | 1.08118i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 13.5880 | + | 23.5350i | 0.457790 | + | 0.792916i | 0.998844 | − | 0.0480724i | \(-0.0153078\pi\) |
−0.541054 | + | 0.840988i | \(0.681974\pi\) | |||||||
\(882\) | −22.7948 | + | 27.7508i | −0.767541 | + | 0.934419i | ||||
\(883\) | 39.3731 | 1.32501 | 0.662505 | − | 0.749058i | \(-0.269494\pi\) | ||||
0.662505 | + | 0.749058i | \(0.269494\pi\) | |||||||
\(884\) | −1.85897 | − | 28.8244i | −0.0625239 | − | 0.969468i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 68.3731 | + | 18.3205i | 2.29704 | + | 0.615490i | ||||
\(887\) | −26.8438 | − | 46.4949i | −0.901328 | − | 1.56115i | −0.825772 | − | 0.564005i | \(-0.809260\pi\) |
−0.0755567 | − | 0.997142i | \(-0.524073\pi\) | |||||||
\(888\) | −32.9563 | + | 36.3457i | −1.10594 | + | 1.21968i | ||||
\(889\) | 15.1244 | − | 15.1244i | 0.507255 | − | 0.507255i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 8.77495 | − | 13.1079i | 0.293972 | − | 0.439130i | ||||
\(892\) | −60.9090 | + | 60.9090i | −2.03938 | + | 2.03938i | ||||
\(893\) | 4.95725 | − | 8.58622i | 0.165888 | − | 0.287327i | ||||
\(894\) | −6.88324 | − | 21.4388i | −0.230210 | − | 0.717020i | ||||
\(895\) | 0 | 0 | ||||||||
\(896\) | 29.3225 | 0.979595 | ||||||||
\(897\) | 0 | 0 | ||||||||
\(898\) | − | 20.9808i | − | 0.700137i | ||||||
\(899\) | 9.03984 | − | 33.7371i | 0.301495 | − | 1.12520i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −8.59808 | − | 4.96410i | −0.286443 | − | 0.165378i | ||||
\(902\) | 1.90346 | − | 1.90346i | 0.0633783 | − | 0.0633783i | ||||
\(903\) | −0.980726 | − | 20.0524i | −0.0326365 | − | 0.667303i | ||||
\(904\) | −51.9449 | + | 13.9186i | −1.72766 | + | 0.462925i | ||||
\(905\) | 0 | 0 | ||||||||
\(906\) | −29.4034 | + | 32.4274i | −0.976861 | + | 1.07733i | ||||
\(907\) | 8.66025 | + | 15.0000i | 0.287559 | + | 0.498067i | 0.973227 | − | 0.229848i | \(-0.0738229\pi\) |
−0.685668 | + | 0.727915i | \(0.740490\pi\) | |||||||
\(908\) | 15.1149 | − | 56.4094i | 0.501604 | − | 1.87201i | ||||
\(909\) | 53.9308 | + | 24.4641i | 1.78877 | + | 0.811423i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | − | 9.25036i | − | 0.306478i | −0.988189 | − | 0.153239i | \(-0.951030\pi\) | ||
0.988189 | − | 0.153239i | \(-0.0489705\pi\) | |||||||
\(912\) | −3.92989 | − | 2.01969i | −0.130132 | − | 0.0668786i | ||||
\(913\) | −2.66025 | + | 1.53590i | −0.0880416 | + | 0.0508308i | ||||
\(914\) | −33.4495 | + | 57.9363i | −1.10641 | + | 1.91636i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −13.8301 | − | 51.6147i | −0.456960 | − | 1.70540i | ||||
\(917\) | −1.23931 | + | 0.332073i | −0.0409257 | + | 0.0109660i | ||||
\(918\) | −3.90102 | − | 26.4177i | −0.128753 | − | 0.871913i | ||||
\(919\) | 22.2942 | − | 38.6147i | 0.735419 | − | 1.27378i | −0.219121 | − | 0.975698i | \(-0.570319\pi\) |
0.954539 | − | 0.298085i | \(-0.0963478\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −26.9981 | − | 13.8751i | −0.889617 | − | 0.457201i | ||||
\(922\) | 58.0333 | 1.91123 | ||||||||
\(923\) | 16.9293 | + | 3.38587i | 0.557236 | + | 0.111447i | ||||
\(924\) | −15.6603 | − | 3.38587i | −0.515185 | − | 0.111387i | ||||
\(925\) | 0 | 0 | ||||||||
\(926\) | 44.1378 | − | 25.4830i | 1.45046 | − | 0.837423i | ||||
\(927\) | −16.9000 | + | 12.0992i | −0.555068 | + | 0.397390i | ||||
\(928\) | −9.36603 | − | 9.36603i | −0.307455 | − | 0.307455i | ||||
\(929\) | 47.3251 | − | 12.6807i | 1.55269 | − | 0.416041i | 0.622347 | − | 0.782742i | \(-0.286179\pi\) |
0.930339 | + | 0.366701i | \(0.119513\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 3.66025 | + | 3.66025i | 0.119960 | + | 0.119960i | ||||
\(932\) | −13.8755 | + | 24.0331i | −0.454509 | + | 0.787232i | ||||
\(933\) | −2.27311 | − | 7.07992i | −0.0744184 | − | 0.231786i | ||||
\(934\) | 18.8827 | − | 70.4711i | 0.617860 | − | 2.30589i | ||||
\(935\) | 0 | 0 | ||||||||
\(936\) | 36.4213 | + | 26.1809i | 1.19047 | + | 0.855750i | ||||
\(937\) | 37.0000i | 1.20874i | 0.796705 | + | 0.604369i | \(0.206575\pi\) | ||||
−0.796705 | + | 0.604369i | \(0.793425\pi\) | |||||||
\(938\) | −28.6583 | − | 7.67898i | −0.935728 | − | 0.250727i | ||||
\(939\) | −3.29827 | + | 1.05896i | −0.107635 | + | 0.0345578i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −38.2408 | − | 38.2408i | −1.24661 | − | 1.24661i | −0.957206 | − | 0.289407i | \(-0.906542\pi\) |
−0.289407 | − | 0.957206i | \(-0.593458\pi\) | |||||||
\(942\) | −62.9405 | + | 3.07830i | −2.05071 | + | 0.100296i | ||||
\(943\) | 0 | 0 | ||||||||
\(944\) | −8.34312 | + | 8.34312i | −0.271546 | + | 0.271546i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −29.7846 | + | 17.1962i | −0.968381 | + | 0.559095i | ||||
\(947\) | 10.6112 | − | 39.6016i | 0.344818 | − | 1.28688i | −0.548006 | − | 0.836475i | \(-0.684613\pi\) |
0.892824 | − | 0.450405i | \(-0.148721\pi\) | |||||||
\(948\) | 2.73205 | − | 12.6362i | 0.0887329 | − | 0.410406i | ||||
\(949\) | −29.4545 | + | 9.96410i | −0.956133 | + | 0.323448i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −24.5647 | − | 12.6245i | −0.796565 | − | 0.409379i | ||||
\(952\) | −10.9019 | + | 6.29423i | −0.353333 | + | 0.203997i | ||||
\(953\) | −37.9087 | − | 21.8866i | −1.22798 | − | 0.708976i | −0.261375 | − | 0.965237i | \(-0.584176\pi\) |
−0.966608 | + | 0.256261i | \(0.917509\pi\) | |||||||
\(954\) | 31.0963 | − | 11.6883i | 1.00678 | − | 0.378423i | ||||
\(955\) | 0 | 0 | ||||||||
\(956\) | −9.70398 | − | 36.2158i | −0.313849 | − | 1.17130i | ||||
\(957\) | 9.09782 | + | 14.1171i | 0.294091 | + | 0.456340i | ||||
\(958\) | 18.1699 | + | 10.4904i | 0.587042 | + | 0.338929i | ||||
\(959\) | −4.17156 | − | 7.22536i | −0.134707 | − | 0.233319i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | − | 8.85641i | − | 0.285691i | ||||||
\(962\) | −32.7083 | − | 49.0625i | −1.05456 | − | 1.58184i | ||||
\(963\) | −45.5877 | − | 20.6795i | −1.46904 | − | 0.666387i | ||||
\(964\) | 26.9904 | + | 7.23205i | 0.869302 | + | 0.232929i | ||||
\(965\) | 0 | 0 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 0.143594 | + | 0.143594i | 0.00461766 | + | 0.00461766i | 0.709412 | − | 0.704794i | \(-0.248961\pi\) |
−0.704794 | + | 0.709412i | \(0.748961\pi\) | |||||||
\(968\) | −8.50916 | − | 31.7566i | −0.273495 | − | 1.02070i | ||||
\(969\) | −3.84450 | + | 0.188027i | −0.123503 | + | 0.00604030i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 45.5551 | + | 26.3013i | 1.46193 | + | 0.844047i | 0.999101 | − | 0.0423987i | \(-0.0135000\pi\) |
0.462832 | + | 0.886446i | \(0.346833\pi\) | |||||||
\(972\) | 49.8673 | + | 29.9633i | 1.59950 | + | 0.961075i | ||||
\(973\) | −3.26795 | − | 0.875644i | −0.104766 | − | 0.0280719i | ||||
\(974\) | −60.7025 | −1.94503 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 17.2487 | 0.552118 | ||||||||
\(977\) | −28.3707 | − | 7.60192i | −0.907661 | − | 0.243207i | −0.225357 | − | 0.974276i | \(-0.572355\pi\) |
−0.682303 | + | 0.731069i | \(0.739022\pi\) | |||||||
\(978\) | 61.0204 | − | 19.5915i | 1.95122 | − | 0.626468i | ||||
\(979\) | −15.2487 | − | 8.80385i | −0.487351 | − | 0.281372i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −1.94288 | + | 11.7360i | −0.0620314 | + | 0.374701i | ||||
\(982\) | 15.5096 | + | 57.8827i | 0.494932 | + | 1.84711i | ||||
\(983\) | −4.38209 | − | 4.38209i | −0.139767 | − | 0.139767i | 0.633762 | − | 0.773528i | \(-0.281510\pi\) |
−0.773528 | + | 0.633762i | \(0.781510\pi\) | |||||||
\(984\) | 3.41340 | + | 3.09508i | 0.108815 | + | 0.0986677i | ||||
\(985\) | 0 | 0 | ||||||||
\(986\) | 27.4635 | + | 7.35882i | 0.874616 | + | 0.234353i | ||||
\(987\) | 22.9282 | + | 4.95725i | 0.729813 | + | 0.157791i | ||||
\(988\) | 9.19615 | − | 10.4641i | 0.292569 | − | 0.332907i | ||||
\(989\) | 0 | 0 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −12.7846 | − | 22.1436i | −0.406117 | − | 0.703414i | 0.588334 | − | 0.808618i | \(-0.299784\pi\) |
−0.994451 | + | 0.105203i | \(0.966451\pi\) | |||||||
\(992\) | −13.0899 | − | 7.55743i | −0.415603 | − | 0.239949i | ||||
\(993\) | −28.4216 | + | 18.3164i | −0.901931 | + | 0.581255i | ||||
\(994\) | −4.19615 | − | 15.6603i | −0.133094 | − | 0.496713i | ||||
\(995\) | 0 | 0 | ||||||||
\(996\) | −6.13719 | − | 9.52306i | −0.194464 | − | 0.301750i | ||||
\(997\) | −6.06218 | − | 3.50000i | −0.191991 | − | 0.110846i | 0.400923 | − | 0.916112i | \(-0.368689\pi\) |
−0.592914 | + | 0.805266i | \(0.702023\pi\) | |||||||
\(998\) | −13.0899 | + | 7.55743i | −0.414352 | + | 0.239226i | ||||
\(999\) | −22.0470 | − | 27.8165i | −0.697537 | − | 0.880074i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))