Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [405,2,Mod(8,405)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(405, base_ring=CyclotomicField(36))
chi = DirichletCharacter(H, H._module([2, 27]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("405.8");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 405 = 3^{4} \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 405.r (of order \(36\), degree \(12\), not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.23394128186\) |
Analytic rank: | \(0\) |
Dimension: | \(192\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{36})\) |
Twist minimal: | no (minimal twist has level 135) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{36}]$ |
Embedding invariants
Embedding label | 197.8 | ||
Character | \(\chi\) | \(=\) | 405.197 |
Dual form | 405.2.r.a.368.8 |
$q$-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 \(\left(\mathbb{Z}/405\mathbb{Z}\right)^\times\).
\(n\) | \(82\) | \(326\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(e\left(\frac{13}{18}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.0152086 | − | 0.00133058i | 0.0107541 | − | 0.000940864i | −0.0817774 | − | 0.996651i | \(-0.526060\pi\) |
0.0925315 | + | 0.995710i | \(0.470504\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −1.96939 | + | 0.347256i | −0.984693 | + | 0.173628i | ||||
\(5\) | 1.79388 | − | 1.33492i | 0.802247 | − | 0.596992i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0.211408 | − | 0.148030i | 0.0799048 | − | 0.0559499i | −0.532941 | − | 0.846152i | \(-0.678913\pi\) |
0.612846 | + | 0.790202i | \(0.290025\pi\) | |||||||
\(8\) | −0.0589827 | + | 0.0158044i | −0.0208535 | + | 0.00558769i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 0.0255062 | − | 0.0226891i | 0.00806578 | − | 0.00717494i | ||||
\(11\) | −1.49616 | − | 4.11066i | −0.451108 | − | 1.23941i | −0.931945 | − | 0.362600i | \(-0.881889\pi\) |
0.480836 | − | 0.876810i | \(-0.340333\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 0.187451 | − | 2.14258i | 0.0519896 | − | 0.594244i | −0.924859 | − | 0.380311i | \(-0.875817\pi\) |
0.976848 | − | 0.213933i | \(-0.0686274\pi\) | |||||||
\(14\) | 0.00301826 | − | 0.00253263i | 0.000806665 | − | 0.000676873i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 3.75746 | − | 1.36760i | 0.939364 | − | 0.341901i | ||||
\(17\) | −1.70216 | − | 0.456091i | −0.412833 | − | 0.110618i | 0.0464236 | − | 0.998922i | \(-0.485218\pi\) |
−0.459257 | + | 0.888303i | \(0.651884\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 4.91894 | + | 2.83995i | 1.12848 | + | 0.651529i | 0.943553 | − | 0.331222i | \(-0.107461\pi\) |
0.184929 | + | 0.982752i | \(0.440794\pi\) | |||||||
\(20\) | −3.06928 | + | 3.25190i | −0.686312 | + | 0.727147i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −0.0282241 | − | 0.0605267i | −0.00601740 | − | 0.0129043i | ||||
\(23\) | 3.32360 | − | 4.74660i | 0.693019 | − | 0.989734i | −0.306267 | − | 0.951946i | \(-0.599080\pi\) |
0.999286 | − | 0.0377879i | \(-0.0120311\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 1.43600 | − | 4.78935i | 0.287200 | − | 0.957871i | ||||
\(26\) | − | 0.0328351i | − | 0.00643949i | ||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −0.364940 | + | 0.364940i | −0.0689672 | + | 0.0689672i | ||||
\(29\) | −3.59567 | − | 3.01712i | −0.667699 | − | 0.560266i | 0.244685 | − | 0.969603i | \(-0.421316\pi\) |
−0.912383 | + | 0.409337i | \(0.865760\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −0.912568 | − | 5.17543i | −0.163902 | − | 0.929534i | −0.950189 | − | 0.311673i | \(-0.899111\pi\) |
0.786287 | − | 0.617861i | \(-0.212001\pi\) | |||||||
\(32\) | 0.166010 | − | 0.0774120i | 0.0293468 | − | 0.0136846i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −0.0264943 | − | 0.00467167i | −0.00454374 | − | 0.000801184i | ||||
\(35\) | 0.181634 | − | 0.547759i | 0.0307017 | − | 0.0925882i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −0.837479 | + | 3.12552i | −0.137681 | + | 0.513832i | 0.862292 | + | 0.506412i | \(0.169028\pi\) |
−0.999972 | + | 0.00741968i | \(0.997638\pi\) | |||||||
\(38\) | 0.0785891 | + | 0.0366467i | 0.0127488 | + | 0.00594488i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −0.0847103 | + | 0.107088i | −0.0133939 | + | 0.0169321i | ||||
\(41\) | −0.241984 | − | 0.288386i | −0.0377916 | − | 0.0450383i | 0.746818 | − | 0.665029i | \(-0.231581\pi\) |
−0.784609 | + | 0.619991i | \(0.787136\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 3.84888 | − | 8.25395i | 0.586948 | − | 1.25872i | −0.358678 | − | 0.933461i | \(-0.616772\pi\) |
0.945627 | − | 0.325254i | \(-0.105450\pi\) | |||||||
\(44\) | 4.37396 | + | 7.57592i | 0.659400 | + | 1.14211i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 0.0442317 | − | 0.0766116i | 0.00652161 | − | 0.0112958i | ||||
\(47\) | 2.29910 | + | 3.28345i | 0.335358 | + | 0.478941i | 0.951046 | − | 0.309049i | \(-0.100011\pi\) |
−0.615688 | + | 0.787990i | \(0.711122\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −2.37136 | + | 6.51526i | −0.338766 | + | 0.930751i | ||||
\(50\) | 0.0154670 | − | 0.0747502i | 0.00218736 | − | 0.0105713i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 0.374859 | + | 4.28465i | 0.0519835 | + | 0.594174i | ||||
\(53\) | 8.15900 | + | 8.15900i | 1.12072 | + | 1.12072i | 0.991633 | + | 0.129092i | \(0.0412062\pi\) |
0.129092 | + | 0.991633i | \(0.458794\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −8.17131 | − | 5.37678i | −1.10182 | − | 0.725005i | ||||
\(56\) | −0.0101299 | + | 0.0120724i | −0.00135367 | + | 0.00161324i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −0.0586997 | − | 0.0411020i | −0.00770765 | − | 0.00539696i | ||||
\(59\) | −10.6146 | − | 3.86341i | −1.38191 | − | 0.502973i | −0.459152 | − | 0.888358i | \(-0.651847\pi\) |
−0.922756 | + | 0.385385i | \(0.874069\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −2.10712 | + | 11.9501i | −0.269790 | + | 1.53005i | 0.485251 | + | 0.874375i | \(0.338728\pi\) |
−0.755040 | + | 0.655678i | \(0.772383\pi\) | |||||||
\(62\) | −0.0207652 | − | 0.0774969i | −0.00263719 | − | 0.00984212i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −6.92336 | + | 3.99720i | −0.865420 | + | 0.499650i | ||||
\(65\) | −2.52389 | − | 4.09375i | −0.313050 | − | 0.507768i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 1.82940 | + | 0.160052i | 0.223497 | + | 0.0195534i | 0.198354 | − | 0.980130i | \(-0.436440\pi\) |
0.0251426 | + | 0.999684i | \(0.491996\pi\) | |||||||
\(68\) | 3.51058 | + | 0.307136i | 0.425721 | + | 0.0372457i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 0.00203356 | − | 0.00857235i | 0.000243057 | − | 0.00102459i | ||||
\(71\) | −4.44360 | + | 2.56551i | −0.527358 | + | 0.304471i | −0.739940 | − | 0.672673i | \(-0.765146\pi\) |
0.212582 | + | 0.977143i | \(0.431813\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 3.71651 | + | 13.8702i | 0.434984 | + | 1.62338i | 0.741104 | + | 0.671390i | \(0.234303\pi\) |
−0.306120 | + | 0.951993i | \(0.599031\pi\) | |||||||
\(74\) | −0.00857816 | + | 0.0486492i | −0.000997191 | + | 0.00565535i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −10.6735 | − | 3.88483i | −1.22433 | − | 0.445620i | ||||
\(77\) | −0.924799 | − | 0.647552i | −0.105391 | − | 0.0737953i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 1.98949 | − | 2.37099i | 0.223835 | − | 0.266757i | −0.642426 | − | 0.766348i | \(-0.722072\pi\) |
0.866261 | + | 0.499591i | \(0.166516\pi\) | |||||||
\(80\) | 4.91479 | − | 7.46920i | 0.549490 | − | 0.835082i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −0.00406398 | − | 0.00406398i | −0.000448791 | − | 0.000448791i | ||||
\(83\) | 0.432904 | + | 4.94812i | 0.0475174 | + | 0.543127i | 0.982225 | + | 0.187708i | \(0.0601060\pi\) |
−0.934707 | + | 0.355418i | \(0.884338\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −3.66230 | + | 1.45406i | −0.397233 | + | 0.157715i | ||||
\(86\) | 0.0475536 | − | 0.130653i | 0.00512784 | − | 0.0140886i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 0.153214 | + | 0.218812i | 0.0163326 | + | 0.0233254i | ||||
\(89\) | 1.44584 | − | 2.50426i | 0.153259 | − | 0.265452i | −0.779165 | − | 0.626819i | \(-0.784357\pi\) |
0.932424 | + | 0.361367i | \(0.117690\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −0.277536 | − | 0.480707i | −0.0290937 | − | 0.0503917i | ||||
\(92\) | −4.89717 | + | 10.5020i | −0.510565 | + | 1.09491i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 0.0393351 | + | 0.0468777i | 0.00405710 | + | 0.00483507i | ||||
\(95\) | 12.6151 | − | 1.47184i | 1.29428 | − | 0.151008i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −4.27105 | − | 1.99162i | −0.433659 | − | 0.202219i | 0.193516 | − | 0.981097i | \(-0.438011\pi\) |
−0.627175 | + | 0.778879i | \(0.715789\pi\) | |||||||
\(98\) | −0.0273961 | + | 0.102243i | −0.00276742 | + | 0.0103282i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −1.16491 | + | 9.93074i | −0.116491 | + | 0.993074i | ||||
\(101\) | −2.84523 | − | 0.501690i | −0.283110 | − | 0.0499200i | 0.0302897 | − | 0.999541i | \(-0.490357\pi\) |
−0.313400 | + | 0.949621i | \(0.601468\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 9.15274 | − | 4.26799i | 0.901846 | − | 0.420538i | 0.0843263 | − | 0.996438i | \(-0.473126\pi\) |
0.817520 | + | 0.575900i | \(0.195348\pi\) | |||||||
\(104\) | 0.0228057 | + | 0.129337i | 0.00223628 | + | 0.0126826i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 0.134943 | + | 0.113231i | 0.0131069 | + | 0.0109980i | ||||
\(107\) | −10.6261 | + | 10.6261i | −1.02727 | + | 1.02727i | −0.0276498 | + | 0.999618i | \(0.508802\pi\) |
−0.999618 | + | 0.0276498i | \(0.991198\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | − | 12.0030i | − | 1.14968i | −0.818265 | − | 0.574841i | \(-0.805064\pi\) | ||
0.818265 | − | 0.574841i | \(-0.194936\pi\) | |||||||
\(110\) | −0.131429 | − | 0.0709009i | −0.0125312 | − | 0.00676013i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 0.591912 | − | 0.845337i | 0.0559304 | − | 0.0798769i | ||||
\(113\) | 3.92562 | + | 8.41851i | 0.369291 | + | 0.791947i | 0.999875 | + | 0.0158260i | \(0.00503778\pi\) |
−0.630584 | + | 0.776121i | \(0.717184\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −0.374165 | − | 12.9515i | −0.0348911 | − | 1.20774i | ||||
\(116\) | 8.12897 | + | 4.69326i | 0.754756 | + | 0.435759i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −0.166575 | − | 0.0446336i | −0.0153344 | − | 0.00410885i | ||||
\(119\) | −0.427365 | + | 0.155548i | −0.0391765 | + | 0.0142591i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −6.23254 | + | 5.22972i | −0.566595 | + | 0.475429i | ||||
\(122\) | −0.0161459 | + | 0.184548i | −0.00146178 | + | 0.0167082i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 3.59440 | + | 9.87552i | 0.322786 | + | 0.886848i | ||||
\(125\) | −3.81737 | − | 10.5085i | −0.341436 | − | 0.939905i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 18.7735 | − | 5.03035i | 1.66588 | − | 0.446371i | 0.701885 | − | 0.712290i | \(-0.252342\pi\) |
0.963996 | + | 0.265918i | \(0.0856752\pi\) | |||||||
\(128\) | −0.400068 | + | 0.280131i | −0.0353614 | + | 0.0247603i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −0.0438320 | − | 0.0589021i | −0.00384433 | − | 0.00516606i | ||||
\(131\) | 4.49710 | − | 0.792959i | 0.392913 | − | 0.0692812i | 0.0262986 | − | 0.999654i | \(-0.491628\pi\) |
0.366614 | + | 0.930373i | \(0.380517\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 1.46030 | − | 0.127760i | 0.126624 | − | 0.0110782i | ||||
\(134\) | 0.0280356 | 0.00242191 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 0.107606 | 0.00922713 | ||||||||
\(137\) | 6.96948 | − | 0.609750i | 0.595443 | − | 0.0520945i | 0.214549 | − | 0.976713i | \(-0.431172\pi\) |
0.380894 | + | 0.924619i | \(0.375616\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −8.03836 | + | 1.41738i | −0.681805 | + | 0.120221i | −0.503815 | − | 0.863812i | \(-0.668071\pi\) |
−0.177990 | + | 0.984032i | \(0.556959\pi\) | |||||||
\(140\) | −0.167494 | + | 1.14182i | −0.0141558 | + | 0.0965017i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −0.0641675 | + | 0.0449306i | −0.00538482 | + | 0.00377049i | ||||
\(143\) | −9.08786 | + | 2.43508i | −0.759965 | + | 0.203632i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −10.4778 | − | 0.612441i | −0.870133 | − | 0.0508605i | ||||
\(146\) | 0.0749784 | + | 0.206002i | 0.00620526 | + | 0.0170488i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 0.563966 | − | 6.44617i | 0.0463578 | − | 0.529872i | ||||
\(149\) | −14.7726 | + | 12.3956i | −1.21021 | + | 1.01549i | −0.210937 | + | 0.977500i | \(0.567651\pi\) |
−0.999278 | + | 0.0379911i | \(0.987904\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −14.1147 | + | 5.13734i | −1.14864 | + | 0.418070i | −0.845026 | − | 0.534725i | \(-0.820415\pi\) |
−0.303613 | + | 0.952795i | \(0.598193\pi\) | |||||||
\(152\) | −0.335016 | − | 0.0897672i | −0.0271734 | − | 0.00728108i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −0.0149266 | − | 0.00861785i | −0.00120282 | − | 0.000694446i | ||||
\(155\) | −8.54579 | − | 8.06589i | −0.686415 | − | 0.647868i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 0.987420 | + | 2.11753i | 0.0788047 | + | 0.168997i | 0.941762 | − | 0.336279i | \(-0.109168\pi\) |
−0.862958 | + | 0.505276i | \(0.831391\pi\) | |||||||
\(158\) | 0.0271027 | − | 0.0387066i | 0.00215617 | − | 0.00307933i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 0.194464 | − | 0.360478i | 0.0153737 | − | 0.0284983i | ||||
\(161\) | − | 1.49546i | − | 0.117859i | ||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 10.7302 | − | 10.7302i | 0.840451 | − | 0.840451i | −0.148467 | − | 0.988917i | \(-0.547434\pi\) |
0.988917 | + | 0.148467i | \(0.0474338\pi\) | |||||||
\(164\) | 0.576705 | + | 0.483913i | 0.0450331 | + | 0.0377872i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 0.0131678 | + | 0.0746781i | 0.00102202 | + | 0.00579615i | ||||
\(167\) | 17.5852 | − | 8.20013i | 1.36079 | − | 0.634545i | 0.401208 | − | 0.915987i | \(-0.368590\pi\) |
0.959578 | + | 0.281442i | \(0.0908126\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 8.24701 | + | 1.45417i | 0.634385 | + | 0.111859i | ||||
\(170\) | −0.0537639 | + | 0.0269873i | −0.00412350 | + | 0.00206983i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −4.71370 | + | 17.5918i | −0.359416 | + | 1.34136i | ||||
\(173\) | 5.26921 | + | 2.45707i | 0.400610 | + | 0.186808i | 0.612472 | − | 0.790492i | \(-0.290175\pi\) |
−0.211862 | + | 0.977300i | \(0.567953\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −0.405384 | − | 1.22508i | −0.0306441 | − | 0.0926073i | ||||
\(176\) | −11.2435 | − | 13.3995i | −0.847510 | − | 1.01002i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 0.0186571 | − | 0.0400103i | 0.00139841 | − | 0.00299890i | ||||
\(179\) | 4.77974 | + | 8.27875i | 0.357254 | + | 0.618783i | 0.987501 | − | 0.157612i | \(-0.0503796\pi\) |
−0.630247 | + | 0.776395i | \(0.717046\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 6.93879 | − | 12.0183i | 0.515756 | − | 0.893315i | −0.484077 | − | 0.875026i | \(-0.660844\pi\) |
0.999833 | − | 0.0182899i | \(-0.00582219\pi\) | |||||||
\(182\) | −0.00486056 | − | 0.00694161i | −0.000360289 | − | 0.000514546i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −0.121018 | + | 0.332494i | −0.00892157 | + | 0.0245118i | ||||
\(185\) | 2.66996 | + | 6.72476i | 0.196300 | + | 0.494414i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 0.671857 | + | 7.67937i | 0.0491311 | + | 0.561571i | ||||
\(188\) | −5.66801 | − | 5.66801i | −0.413382 | − | 0.413382i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 0.189900 | − | 0.0391701i | 0.0137768 | − | 0.00284170i | ||||
\(191\) | 7.63489 | − | 9.09890i | 0.552441 | − | 0.658374i | −0.415488 | − | 0.909599i | \(-0.636389\pi\) |
0.967929 | + | 0.251225i | \(0.0808335\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 9.91741 | + | 6.94425i | 0.713871 | + | 0.499858i | 0.873197 | − | 0.487368i | \(-0.162043\pi\) |
−0.159325 | + | 0.987226i | \(0.550932\pi\) | |||||||
\(194\) | −0.0676068 | − | 0.0246069i | −0.00485389 | − | 0.00176667i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 2.40766 | − | 13.6545i | 0.171976 | − | 0.975323i | ||||
\(197\) | −1.53862 | − | 5.74222i | −0.109622 | − | 0.409116i | 0.889206 | − | 0.457507i | \(-0.151257\pi\) |
−0.998828 | + | 0.0483907i | \(0.984591\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −4.84519 | + | 2.79737i | −0.343466 | + | 0.198300i | −0.661804 | − | 0.749677i | \(-0.730209\pi\) |
0.318337 | + | 0.947977i | \(0.396876\pi\) | |||||||
\(200\) | −0.00900656 | + | 0.305184i | −0.000636860 | + | 0.0215798i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −0.0439395 | − | 0.00384421i | −0.00309157 | − | 0.000270478i | ||||
\(203\) | −1.20678 | − | 0.105579i | −0.0846992 | − | 0.00741022i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −0.819062 | − | 0.194300i | −0.0572057 | − | 0.0135705i | ||||
\(206\) | 0.133522 | − | 0.0770888i | 0.00930290 | − | 0.00537103i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −2.22585 | − | 8.30699i | −0.154335 | − | 0.575986i | ||||
\(209\) | 4.31456 | − | 24.4691i | 0.298444 | − | 1.69256i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 5.33826 | + | 1.94297i | 0.367501 | + | 0.133759i | 0.519168 | − | 0.854672i | \(-0.326242\pi\) |
−0.151667 | + | 0.988432i | \(0.548464\pi\) | |||||||
\(212\) | −18.9015 | − | 13.2350i | −1.29816 | − | 0.908980i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −0.147470 | + | 0.175748i | −0.0100808 | + | 0.0120139i | ||||
\(215\) | −4.11390 | − | 19.9445i | −0.280566 | − | 1.36020i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −0.959041 | − | 0.959041i | −0.0651039 | − | 0.0651039i | ||||
\(218\) | −0.0159710 | − | 0.182550i | −0.00108169 | − | 0.0123638i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 17.9596 | + | 7.75142i | 1.21083 | + | 0.522601i | ||||
\(221\) | −1.29628 | + | 3.56150i | −0.0871973 | + | 0.239573i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −7.56295 | − | 10.8010i | −0.506452 | − | 0.723289i | 0.481773 | − | 0.876296i | \(-0.339993\pi\) |
−0.988225 | + | 0.153007i | \(0.951104\pi\) | |||||||
\(224\) | 0.0236367 | − | 0.0409400i | 0.00157929 | − | 0.00273542i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 0.0709048 | + | 0.122811i | 0.00471652 | + | 0.00816925i | ||||
\(227\) | 6.15899 | − | 13.2080i | 0.408787 | − | 0.876646i | −0.588870 | − | 0.808228i | \(-0.700427\pi\) |
0.997657 | − | 0.0684181i | \(-0.0217952\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 5.35302 | + | 6.37948i | 0.353738 | + | 0.421568i | 0.913343 | − | 0.407191i | \(-0.133492\pi\) |
−0.559605 | + | 0.828759i | \(0.689047\pi\) | |||||||
\(230\) | −0.0229236 | − | 0.196477i | −0.00151154 | − | 0.0129553i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 0.259766 | + | 0.121131i | 0.0170545 | + | 0.00795262i | ||||
\(233\) | 7.15675 | − | 26.7094i | 0.468854 | − | 1.74979i | −0.174930 | − | 0.984581i | \(-0.555970\pi\) |
0.643784 | − | 0.765207i | \(-0.277363\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 8.50744 | + | 2.82101i | 0.554964 | + | 0.184023i | ||||
\(236\) | 22.2459 | + | 3.92255i | 1.44808 | + | 0.255336i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −0.00629266 | + | 0.00293432i | −0.000407893 | + | 0.000190204i | ||||
\(239\) | 3.76477 | + | 21.3510i | 0.243522 | + | 1.38108i | 0.823899 | + | 0.566736i | \(0.191794\pi\) |
−0.580377 | + | 0.814348i | \(0.697095\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 3.99926 | + | 3.35578i | 0.257615 | + | 0.216165i | 0.762443 | − | 0.647055i | \(-0.224000\pi\) |
−0.504828 | + | 0.863220i | \(0.668444\pi\) | |||||||
\(242\) | −0.0878299 | + | 0.0878299i | −0.00564592 | + | 0.00564592i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | − | 24.2661i | − | 1.55348i | ||||||
\(245\) | 4.44339 | + | 14.8531i | 0.283878 | + | 0.948933i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 7.00687 | − | 10.0068i | 0.445837 | − | 0.636721i | ||||
\(248\) | 0.135620 | + | 0.290838i | 0.00861188 | + | 0.0184682i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −0.0720393 | − | 0.154740i | −0.00455617 | − | 0.00978662i | ||||
\(251\) | −12.0778 | − | 6.97313i | −0.762345 | − | 0.440140i | 0.0677923 | − | 0.997699i | \(-0.478404\pi\) |
−0.830137 | + | 0.557560i | \(0.811738\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −24.4843 | − | 6.56054i | −1.53931 | − | 0.412458i | ||||
\(254\) | 0.278826 | − | 0.101484i | 0.0174951 | − | 0.00636770i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 12.2424 | − | 10.2726i | 0.765152 | − | 0.642039i | ||||
\(257\) | −0.816897 | + | 9.33717i | −0.0509566 | + | 0.582437i | 0.927200 | + | 0.374567i | \(0.122209\pi\) |
−0.978156 | + | 0.207870i | \(0.933347\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 0.285619 | + | 0.784731i | 0.0177475 | + | 0.0487608i | ||||
\(260\) | 6.39210 | + | 7.18574i | 0.396421 | + | 0.445641i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 0.0673396 | − | 0.0180436i | 0.00416025 | − | 0.00111474i | ||||
\(263\) | −8.22122 | + | 5.75656i | −0.506942 | + | 0.354965i | −0.798897 | − | 0.601467i | \(-0.794583\pi\) |
0.291955 | + | 0.956432i | \(0.405694\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 25.5278 | + | 3.74468i | 1.56816 | + | 0.230034i | ||||
\(266\) | 0.0220392 | − | 0.00388610i | 0.00135131 | − | 0.000238272i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −3.65837 | + | 0.320066i | −0.223470 | + | 0.0195511i | ||||
\(269\) | 1.84882 | 0.112724 | 0.0563622 | − | 0.998410i | \(-0.482050\pi\) | ||||
0.0563622 | + | 0.998410i | \(0.482050\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 14.0068 | 0.850851 | 0.425426 | − | 0.904993i | \(-0.360124\pi\) | ||||
0.425426 | + | 0.904993i | \(0.360124\pi\) | |||||||
\(272\) | −7.01953 | + | 0.614129i | −0.425621 | + | 0.0372370i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 0.105185 | − | 0.0185469i | 0.00635445 | − | 0.00112046i | ||||
\(275\) | −21.8359 | + | 1.26271i | −1.31675 | + | 0.0761445i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −14.8975 | + | 10.4313i | −0.895103 | + | 0.626758i | −0.927951 | − | 0.372703i | \(-0.878431\pi\) |
0.0328481 | + | 0.999460i | \(0.489542\pi\) | |||||||
\(278\) | −0.120367 | + | 0.0322521i | −0.00721911 | + | 0.00193435i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −0.00205625 | + | 0.0351789i | −0.000122885 | + | 0.00210234i | ||||
\(281\) | 8.98091 | + | 24.6748i | 0.535756 | + | 1.47198i | 0.852124 | + | 0.523341i | \(0.175314\pi\) |
−0.316368 | + | 0.948637i | \(0.602463\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −1.59875 | + | 18.2738i | −0.0950360 | + | 1.08627i | 0.787593 | + | 0.616196i | \(0.211327\pi\) |
−0.882629 | + | 0.470071i | \(0.844228\pi\) | |||||||
\(284\) | 7.86028 | − | 6.59556i | 0.466422 | − | 0.391374i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −0.134974 | + | 0.0491264i | −0.00798117 | + | 0.00290491i | ||||
\(287\) | −0.0938472 | − | 0.0251463i | −0.00553962 | − | 0.00148434i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −12.0331 | − | 6.94732i | −0.707830 | − | 0.408666i | ||||
\(290\) | −0.160168 | + | 0.00462718i | −0.00940538 | + | 0.000271718i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −12.1357 | − | 26.0252i | −0.710191 | − | 1.52301i | ||||
\(293\) | −6.02781 | + | 8.60861i | −0.352149 | + | 0.502920i | −0.955675 | − | 0.294422i | \(-0.904873\pi\) |
0.603527 | + | 0.797343i | \(0.293762\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −24.1987 | + | 7.23915i | −1.40890 | + | 0.421480i | ||||
\(296\) | − | 0.197587i | − | 0.0114845i | ||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −0.208177 | + | 0.208177i | −0.0120594 | + | 0.0120594i | ||||
\(299\) | −9.54693 | − | 8.01082i | −0.552113 | − | 0.463278i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −0.408144 | − | 2.31470i | −0.0235250 | − | 0.133417i | ||||
\(302\) | −0.207830 | + | 0.0969127i | −0.0119593 | + | 0.00557670i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 22.3666 | + | 3.94384i | 1.28281 | + | 0.226195i | ||||
\(305\) | 12.1724 | + | 24.2499i | 0.696992 | + | 1.38854i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 3.31491 | − | 12.3714i | 0.189192 | − | 0.706074i | −0.804502 | − | 0.593949i | \(-0.797568\pi\) |
0.993694 | − | 0.112124i | \(-0.0357654\pi\) | |||||||
\(308\) | 2.04615 | + | 0.954137i | 0.116590 | + | 0.0543670i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −0.140702 | − | 0.111300i | −0.00799135 | − | 0.00632143i | ||||
\(311\) | −13.5014 | − | 16.0903i | −0.765592 | − | 0.912397i | 0.232596 | − | 0.972573i | \(-0.425278\pi\) |
−0.998188 | + | 0.0601768i | \(0.980834\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −12.4918 | + | 26.7887i | −0.706078 | + | 1.51419i | 0.145159 | + | 0.989408i | \(0.453631\pi\) |
−0.851237 | + | 0.524781i | \(0.824147\pi\) | |||||||
\(314\) | 0.0178349 | + | 0.0308909i | 0.00100648 | + | 0.00174327i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −3.09474 | + | 5.36025i | −0.174093 | + | 0.301538i | ||||
\(317\) | 15.2311 | + | 21.7523i | 0.855465 | + | 1.22173i | 0.973492 | + | 0.228720i | \(0.0734540\pi\) |
−0.118027 | + | 0.993010i | \(0.537657\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −7.02268 | + | 19.2947i | −0.393195 | + | 1.08029i | ||||
\(320\) | −7.08374 | + | 16.4126i | −0.395993 | + | 0.917492i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −0.00198984 | − | 0.0227439i | −0.000110889 | − | 0.00126747i | ||||
\(323\) | −7.07752 | − | 7.07752i | −0.393804 | − | 0.393804i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −9.99237 | − | 3.97451i | −0.554277 | − | 0.220466i | ||||
\(326\) | 0.148914 | − | 0.177468i | 0.00824756 | − | 0.00982906i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 0.0188306 | + | 0.0131854i | 0.00103975 | + | 0.000728040i | ||||
\(329\) | 0.972097 | + | 0.353814i | 0.0535934 | + | 0.0195064i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −1.72647 | + | 9.79132i | −0.0948956 | + | 0.538179i | 0.899884 | + | 0.436130i | \(0.143651\pi\) |
−0.994779 | + | 0.102050i | \(0.967460\pi\) | |||||||
\(332\) | −2.57082 | − | 9.59443i | −0.141092 | − | 0.526563i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 0.256536 | − | 0.148111i | 0.0140371 | − | 0.00810430i | ||||
\(335\) | 3.49537 | − | 2.15498i | 0.190973 | − | 0.117739i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −13.9748 | − | 1.22264i | −0.761258 | − | 0.0666015i | −0.300086 | − | 0.953912i | \(-0.597015\pi\) |
−0.461172 | + | 0.887311i | \(0.652571\pi\) | |||||||
\(338\) | 0.127361 | + | 0.0111426i | 0.00692750 | + | 0.000606078i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 6.70756 | − | 4.13536i | 0.363768 | − | 0.224272i | ||||
\(341\) | −19.9091 | + | 11.4945i | −1.07814 | + | 0.622463i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 0.930702 | + | 3.47343i | 0.0502532 | + | 0.187547i | ||||
\(344\) | −0.0965688 | + | 0.547669i | −0.00520664 | + | 0.0295283i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 0.0834068 | + | 0.0303576i | 0.00448397 | + | 0.00163203i | ||||
\(347\) | −5.00149 | − | 3.50208i | −0.268494 | − | 0.188001i | 0.431574 | − | 0.902077i | \(-0.357958\pi\) |
−0.700068 | + | 0.714076i | \(0.746847\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 2.45708 | − | 2.92823i | 0.131524 | − | 0.156745i | −0.696263 | − | 0.717787i | \(-0.745155\pi\) |
0.827787 | + | 0.561042i | \(0.189600\pi\) | |||||||
\(350\) | −0.00779540 | − | 0.0180924i | −0.000416682 | − | 0.000967079i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −0.566592 | − | 0.566592i | −0.0301995 | − | 0.0301995i | ||||
\(353\) | −0.194119 | − | 2.21879i | −0.0103319 | − | 0.118094i | 0.989277 | − | 0.146050i | \(-0.0466559\pi\) |
−0.999609 | + | 0.0279554i | \(0.991100\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −4.54654 | + | 10.5341i | −0.241305 | + | 0.559090i | ||||
\(356\) | −1.97779 | + | 5.43394i | −0.104823 | + | 0.287998i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 0.0837088 | + | 0.119549i | 0.00442415 | + | 0.00631834i | ||||
\(359\) | 5.90045 | − | 10.2199i | 0.311414 | − | 0.539385i | −0.667255 | − | 0.744829i | \(-0.732531\pi\) |
0.978669 | + | 0.205445i | \(0.0658641\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 6.63064 | + | 11.4846i | 0.348981 | + | 0.604453i | ||||
\(362\) | 0.0895381 | − | 0.192015i | 0.00470602 | − | 0.0100921i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 0.713504 | + | 0.850321i | 0.0373978 | + | 0.0445689i | ||||
\(365\) | 25.1825 | + | 19.9202i | 1.31811 | + | 1.04267i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −1.92158 | − | 0.896047i | −0.100306 | − | 0.0467733i | 0.371818 | − | 0.928306i | \(-0.378735\pi\) |
−0.472123 | + | 0.881532i | \(0.656512\pi\) | |||||||
\(368\) | 5.99683 | − | 22.3805i | 0.312607 | − | 1.16666i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 0.0495543 | + | 0.0987218i | 0.00257621 | + | 0.00513230i | ||||
\(371\) | 2.93265 | + | 0.517106i | 0.152256 | + | 0.0268468i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 3.00825 | − | 1.40277i | 0.155762 | − | 0.0726328i | −0.343174 | − | 0.939272i | \(-0.611502\pi\) |
0.498936 | + | 0.866639i | \(0.333724\pi\) | |||||||
\(374\) | 0.0204361 | + | 0.115899i | 0.00105672 | + | 0.00599298i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −0.187500 | − | 0.157331i | −0.00966957 | − | 0.00811373i | ||||
\(377\) | −7.13843 | + | 7.13843i | −0.367648 | + | 0.367648i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | − | 15.7634i | − | 0.809713i | −0.914380 | − | 0.404856i | \(-0.867322\pi\) | ||
0.914380 | − | 0.404856i | \(-0.132678\pi\) | |||||||
\(380\) | −24.3328 | + | 7.27928i | −1.24825 | + | 0.373419i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 0.104009 | − | 0.148541i | 0.00532158 | − | 0.00760001i | ||||
\(383\) | 11.6401 | + | 24.9622i | 0.594781 | + | 1.27551i | 0.941333 | + | 0.337480i | \(0.109575\pi\) |
−0.346552 | + | 0.938031i | \(0.612648\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −2.52340 | + | 0.0729001i | −0.128605 | + | 0.00371533i | ||||
\(386\) | 0.160070 | + | 0.0924166i | 0.00814736 | + | 0.00470388i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 9.10294 | + | 2.43913i | 0.462132 | + | 0.123828i | ||||
\(389\) | 28.2091 | − | 10.2673i | 1.43026 | − | 0.520571i | 0.493252 | − | 0.869886i | \(-0.335808\pi\) |
0.937005 | + | 0.349315i | \(0.113586\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −7.82217 | + | 6.56358i | −0.395584 | + | 0.331934i | ||||
\(392\) | 0.0368997 | − | 0.421765i | 0.00186372 | − | 0.0213024i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −0.0310408 | − | 0.0852840i | −0.00156382 | − | 0.00429655i | ||||
\(395\) | 0.403844 | − | 6.90906i | 0.0203196 | − | 0.347633i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 4.62074 | − | 1.23812i | 0.231908 | − | 0.0621397i | −0.140993 | − | 0.990011i | \(-0.545030\pi\) |
0.372902 | + | 0.927871i | \(0.378363\pi\) | |||||||
\(398\) | −0.0699666 | + | 0.0489911i | −0.00350711 | + | 0.00245570i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −1.15422 | − | 19.9597i | −0.0577108 | − | 0.997983i | ||||
\(401\) | 8.47214 | − | 1.49387i | 0.423078 | − | 0.0746001i | 0.0419444 | − | 0.999120i | \(-0.486645\pi\) |
0.381134 | + | 0.924520i | \(0.375534\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −11.2598 | + | 0.985106i | −0.560891 | + | 0.0490716i | ||||
\(404\) | 5.77756 | 0.287444 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −0.0184939 | −0.000917838 | ||||||||
\(407\) | 14.1009 | − | 1.23367i | 0.698957 | − | 0.0611508i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −8.33076 | + | 1.46894i | −0.411930 | + | 0.0726343i | −0.375773 | − | 0.926712i | \(-0.622623\pi\) |
−0.0361568 | + | 0.999346i | \(0.511512\pi\) | |||||||
\(410\) | −0.0127153 | − | 0.00186522i | −0.000627966 | − | 9.21164e-5i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −16.5432 | + | 11.5837i | −0.815024 | + | 0.570686i | ||||
\(413\) | −2.81592 | + | 0.754524i | −0.138562 | + | 0.0371277i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 7.38190 | + | 8.29843i | 0.362363 | + | 0.407354i | ||||
\(416\) | −0.134742 | − | 0.370201i | −0.00660628 | − | 0.0181506i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 0.0330604 | − | 0.377882i | 0.00161704 | − | 0.0184828i | ||||
\(419\) | 6.72816 | − | 5.64560i | 0.328692 | − | 0.275806i | −0.463475 | − | 0.886110i | \(-0.653397\pi\) |
0.792167 | + | 0.610305i | \(0.208953\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 0.538899 | − | 0.196143i | 0.0262643 | − | 0.00955944i | −0.328855 | − | 0.944381i | \(-0.606663\pi\) |
0.355119 | + | 0.934821i | \(0.384440\pi\) | |||||||
\(422\) | 0.0837730 | + | 0.0224469i | 0.00407800 | + | 0.00109270i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −0.610187 | − | 0.352292i | −0.0296333 | − | 0.0171088i | ||||
\(425\) | −4.62868 | + | 7.49728i | −0.224524 | + | 0.363671i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 1.32351 | + | 2.83827i | 0.0640489 | + | 0.137353i | ||||
\(428\) | 17.2370 | − | 24.6170i | 0.833181 | − | 1.18991i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −0.0891046 | − | 0.297855i | −0.00429701 | − | 0.0143638i | ||||
\(431\) | 25.0117i | 1.20477i | 0.798205 | + | 0.602386i | \(0.205783\pi\) | ||||
−0.798205 | + | 0.602386i | \(0.794217\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −24.9892 | + | 24.9892i | −1.20090 | + | 1.20090i | −0.227011 | + | 0.973892i | \(0.572895\pi\) |
−0.973892 | + | 0.227011i | \(0.927105\pi\) | |||||||
\(434\) | −0.0158618 | − | 0.0133096i | −0.000761390 | − | 0.000638882i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 4.16812 | + | 23.6386i | 0.199617 | + | 1.13208i | ||||
\(437\) | 29.8287 | − | 13.9093i | 1.42690 | − | 0.665374i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 4.64923 | + | 0.819785i | 0.221896 | + | 0.0391262i | 0.283491 | − | 0.958975i | \(-0.408508\pi\) |
−0.0615948 | + | 0.998101i | \(0.519619\pi\) | |||||||
\(440\) | 0.566942 | + | 0.187995i | 0.0270279 | + | 0.00896229i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −0.0149758 | + | 0.0558904i | −0.000712326 | + | 0.00265844i | ||||
\(443\) | −26.7976 | − | 12.4959i | −1.27319 | − | 0.593700i | −0.335787 | − | 0.941938i | \(-0.609002\pi\) |
−0.937406 | + | 0.348238i | \(0.886780\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −0.749324 | − | 6.42242i | −0.0355214 | − | 0.304452i | ||||
\(446\) | −0.129394 | − | 0.154205i | −0.00612697 | − | 0.00730184i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −0.871951 | + | 1.86990i | −0.0411958 | + | 0.0883447i | ||||
\(449\) | 3.36725 | + | 5.83225i | 0.158910 | + | 0.275241i | 0.934476 | − | 0.356026i | \(-0.115869\pi\) |
−0.775566 | + | 0.631267i | \(0.782535\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −0.823409 | + | 1.42619i | −0.0387728 | + | 0.0671565i | ||||
\(452\) | −10.6544 | − | 15.2161i | −0.501142 | − | 0.715706i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 0.0760955 | − | 0.209071i | 0.00357134 | − | 0.00981217i | ||||
\(455\) | −1.13957 | − | 0.491842i | −0.0534238 | − | 0.0230579i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −3.16016 | − | 36.1208i | −0.147826 | − | 1.68966i | −0.601800 | − | 0.798647i | \(-0.705550\pi\) |
0.453974 | − | 0.891015i | \(-0.350006\pi\) | |||||||
\(458\) | 0.0899006 | + | 0.0899006i | 0.00420078 | + | 0.00420078i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 5.23438 | + | 25.3767i | 0.244054 | + | 1.18319i | ||||
\(461\) | −16.9825 | + | 20.2390i | −0.790956 | + | 0.942625i | −0.999373 | − | 0.0354156i | \(-0.988725\pi\) |
0.208417 | + | 0.978040i | \(0.433169\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −9.85172 | − | 6.89825i | −0.457848 | − | 0.320589i | 0.321799 | − | 0.946808i | \(-0.395713\pi\) |
−0.779647 | + | 0.626219i | \(0.784601\pi\) | |||||||
\(464\) | −17.6368 | − | 6.41927i | −0.818767 | − | 0.298007i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 0.0733054 | − | 0.415735i | 0.00339581 | − | 0.0192586i | ||||
\(467\) | 2.86104 | + | 10.6775i | 0.132393 | + | 0.494098i | 0.999995 | − | 0.00316149i | \(-0.00100633\pi\) |
−0.867602 | + | 0.497260i | \(0.834340\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 0.410442 | − | 0.236969i | 0.0189525 | − | 0.0109422i | ||||
\(470\) | 0.133140 | + | 0.0315839i | 0.00614129 | + | 0.00145686i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 0.687138 | + | 0.0601168i | 0.0316281 | + | 0.00276710i | ||||
\(473\) | −39.6877 | − | 3.47222i | −1.82484 | − | 0.159653i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 20.6651 | − | 19.4804i | 0.948181 | − | 0.893820i | ||||
\(476\) | 0.787631 | − | 0.454739i | 0.0361010 | − | 0.0208429i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 0.0856663 | + | 0.319711i | 0.00391828 | + | 0.0146232i | ||||
\(479\) | −0.735877 | + | 4.17337i | −0.0336231 | + | 0.190686i | −0.996993 | − | 0.0774895i | \(-0.975310\pi\) |
0.963370 | + | 0.268175i | \(0.0864207\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 6.53967 | + | 2.38024i | 0.298183 | + | 0.108530i | ||||
\(482\) | 0.0652884 | + | 0.0457155i | 0.00297381 | + | 0.00208228i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 10.4582 | − | 12.4636i | 0.475374 | − | 0.566529i | ||||
\(485\) | −10.3204 | + | 2.12876i | −0.468625 | + | 0.0966619i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 16.7646 | + | 16.7646i | 0.759676 | + | 0.759676i | 0.976263 | − | 0.216587i | \(-0.0694925\pi\) |
−0.216587 | + | 0.976263i | \(0.569493\pi\) | |||||||
\(488\) | −0.0645798 | − | 0.738151i | −0.00292339 | − | 0.0334145i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 0.0873412 | + | 0.219984i | 0.00394567 | + | 0.00993786i | ||||
\(491\) | −0.697417 | + | 1.91614i | −0.0314740 | + | 0.0864740i | −0.954434 | − | 0.298421i | \(-0.903540\pi\) |
0.922960 | + | 0.384895i | \(0.125762\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 4.74430 | + | 6.77556i | 0.213673 | + | 0.305156i | ||||
\(494\) | 0.0932500 | − | 0.161514i | 0.00419552 | − | 0.00726685i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −10.5069 | − | 18.1984i | −0.471772 | − | 0.817133i | ||||
\(497\) | −0.559642 | + | 1.20016i | −0.0251034 | + | 0.0538343i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −8.77600 | − | 10.4588i | −0.392868 | − | 0.468202i | 0.532964 | − | 0.846138i | \(-0.321078\pi\) |
−0.925832 | + | 0.377937i | \(0.876634\pi\) | |||||||
\(500\) | 11.1670 | + | 19.3696i | 0.499403 | + | 0.866235i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −0.192965 | − | 0.0899812i | −0.00861246 | − | 0.00401606i | ||||
\(503\) | −11.4964 | + | 42.9050i | −0.512597 | + | 1.91304i | −0.121825 | + | 0.992552i | \(0.538875\pi\) |
−0.390772 | + | 0.920487i | \(0.627792\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −5.77370 | + | 2.89816i | −0.256926 | + | 0.128967i | ||||
\(506\) | −0.381102 | − | 0.0671985i | −0.0169420 | − | 0.00298734i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −35.2255 | + | 16.4259i | −1.56288 | + | 0.728782i | ||||
\(509\) | 0.883595 | + | 5.01112i | 0.0391647 | + | 0.222114i | 0.998108 | − | 0.0614836i | \(-0.0195832\pi\) |
−0.958943 | + | 0.283597i | \(0.908472\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 2.83890 | + | 2.38212i | 0.125586 | + | 0.105379i | ||||
\(512\) | 0.863214 | − | 0.863214i | 0.0381490 | − | 0.0381490i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 0.143093i | 0.00631155i | ||||||||
\(515\) | 10.7215 | − | 19.8744i | 0.472445 | − | 0.875770i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 10.0573 | − | 14.3634i | 0.442321 | − | 0.631700i | ||||
\(518\) | 0.00538802 | + | 0.0115547i | 0.000236736 | + | 0.000507682i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 0.213565 | + | 0.201572i | 0.00936545 | + | 0.00883952i | ||||
\(521\) | 14.9219 | + | 8.61518i | 0.653742 | + | 0.377438i | 0.789888 | − | 0.613251i | \(-0.210138\pi\) |
−0.136146 | + | 0.990689i | \(0.543472\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 12.9054 | + | 3.45799i | 0.564314 | + | 0.151207i | 0.529688 | − | 0.848193i | \(-0.322309\pi\) |
0.0346265 | + | 0.999400i | \(0.488976\pi\) | |||||||
\(524\) | −8.58116 | + | 3.12329i | −0.374870 | + | 0.136441i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −0.117374 | + | 0.0984884i | −0.00511775 | + | 0.00429430i | ||||
\(527\) | −0.807135 | + | 9.22560i | −0.0351594 | + | 0.401873i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −3.61738 | − | 9.93866i | −0.157277 | − | 0.432116i | ||||
\(530\) | 0.393226 | + | 0.0229846i | 0.0170806 | + | 0.000998386i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −2.83153 | + | 0.758707i | −0.122762 | + | 0.0328941i | ||||
\(533\) | −0.663249 | + | 0.464412i | −0.0287285 | + | 0.0201159i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −4.87701 | + | 33.2470i | −0.210851 | + | 1.43739i | ||||
\(536\) | −0.110432 | + | 0.0194722i | −0.00476995 | + | 0.000841071i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 0.0281180 | − | 0.00246001i | 0.00121225 | − | 0.000106058i | ||||
\(539\) | 30.3299 | 1.30640 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 7.10549 | 0.305489 | 0.152745 | − | 0.988266i | \(-0.451189\pi\) | ||||
0.152745 | + | 0.988266i | \(0.451189\pi\) | |||||||
\(542\) | 0.213024 | − | 0.0186372i | 0.00915016 | − | 0.000800535i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −0.317883 | + | 0.0560513i | −0.0136291 | + | 0.00240318i | ||||
\(545\) | −16.0230 | − | 21.5320i | −0.686351 | − | 0.922328i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 8.41425 | − | 5.89172i | 0.359767 | − | 0.251912i | −0.379692 | − | 0.925113i | \(-0.623970\pi\) |
0.739459 | + | 0.673201i | \(0.235081\pi\) | |||||||
\(548\) | −13.5139 | + | 3.62103i | −0.577283 | + | 0.154683i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −0.330414 | + | 0.0482586i | −0.0140889 | + | 0.00205775i | ||||
\(551\) | −9.11839 | − | 25.0526i | −0.388456 | − | 1.06728i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 0.0696191 | − | 0.795750i | 0.00296050 | − | 0.0338387i | ||||
\(554\) | −0.212691 | + | 0.178469i | −0.00903636 | + | 0.00758240i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 15.3384 | − | 5.58274i | 0.650495 | − | 0.236761i | ||||
\(557\) | 5.55174 | + | 1.48759i | 0.235235 | + | 0.0630310i | 0.374511 | − | 0.927223i | \(-0.377811\pi\) |
−0.139276 | + | 0.990254i | \(0.544477\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −16.9632 | − | 9.79373i | −0.717468 | − | 0.414230i | ||||
\(560\) | −0.0666363 | − | 2.30658i | −0.00281590 | − | 0.0974710i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 0.169419 | + | 0.363321i | 0.00714652 | + | 0.0153258i | ||||
\(563\) | 14.1548 | − | 20.2152i | 0.596555 | − | 0.851969i | −0.401399 | − | 0.915903i | \(-0.631476\pi\) |
0.997954 | + | 0.0639343i | \(0.0203648\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 18.2801 | + | 9.86143i | 0.769049 | + | 0.414873i | ||||
\(566\) | 0.280047i | 0.0117713i | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 0.221549 | − | 0.221549i | 0.00929600 | − | 0.00929600i | ||||
\(569\) | −1.46173 | − | 1.22654i | −0.0612790 | − | 0.0514192i | 0.611634 | − | 0.791141i | \(-0.290513\pi\) |
−0.672913 | + | 0.739722i | \(0.734957\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −7.82276 | − | 44.3651i | −0.327372 | − | 1.85662i | −0.492452 | − | 0.870340i | \(-0.663899\pi\) |
0.165080 | − | 0.986280i | \(-0.447212\pi\) | |||||||
\(572\) | 17.0519 | − | 7.95143i | 0.712976 | − | 0.332466i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −0.00146075 | 0.000257569i | −6.09704e−5 | 1.07507e-5i | ||||||
\(575\) | −17.9604 | − | 22.7340i | −0.749001 | − | 0.948074i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 5.87132 | − | 21.9121i | 0.244426 | − | 0.912211i | −0.729245 | − | 0.684253i | \(-0.760128\pi\) |
0.973671 | − | 0.227958i | \(-0.0732049\pi\) | |||||||
\(578\) | −0.192251 | − | 0.0896482i | −0.00799660 | − | 0.00372888i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 20.8475 | − | 2.43234i | 0.865645 | − | 0.100998i | ||||
\(581\) | 0.823988 | + | 0.981990i | 0.0341848 | + | 0.0407398i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 21.3317 | − | 45.7460i | 0.883469 | − | 1.89461i | ||||
\(584\) | −0.438419 | − | 0.759364i | −0.0181419 | − | 0.0314227i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −0.0802204 | + | 0.138946i | −0.00331387 | + | 0.00573980i | ||||
\(587\) | −4.91190 | − | 7.01492i | −0.202736 | − | 0.289537i | 0.704890 | − | 0.709316i | \(-0.250996\pi\) |
−0.907626 | + | 0.419780i | \(0.862107\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 10.2091 | − | 28.0493i | 0.420659 | − | 1.15575i | ||||
\(590\) | −0.358397 | + | 0.142296i | −0.0147550 | + | 0.00585823i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 1.12767 | + | 12.8893i | 0.0463469 | + | 0.529748i | ||||
\(593\) | −4.26261 | − | 4.26261i | −0.175044 | − | 0.175044i | 0.614147 | − | 0.789192i | \(-0.289500\pi\) |
−0.789192 | + | 0.614147i | \(0.789500\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −0.558997 | + | 0.849530i | −0.0229166 | + | 0.0348273i | ||||
\(596\) | 24.7884 | − | 29.5417i | 1.01537 | − | 1.21007i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −0.155855 | − | 0.109131i | −0.00637338 | − | 0.00446269i | ||||
\(599\) | −13.5981 | − | 4.94929i | −0.555602 | − | 0.202223i | 0.0489318 | − | 0.998802i | \(-0.484418\pi\) |
−0.604534 | + | 0.796580i | \(0.706641\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −2.11215 | + | 11.9786i | −0.0861565 | + | 0.488618i | 0.910944 | + | 0.412529i | \(0.135354\pi\) |
−0.997101 | + | 0.0760891i | \(0.975757\pi\) | |||||||
\(602\) | −0.00928722 | − | 0.0346604i | −0.000378519 | − | 0.00141265i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 26.0133 | − | 15.0188i | 1.05847 | − | 0.611107i | ||||
\(605\) | −4.19918 | + | 17.7014i | −0.170721 | + | 0.719664i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 19.3845 | + | 1.69592i | 0.786792 | + | 0.0688354i | 0.473468 | − | 0.880811i | \(-0.343002\pi\) |
0.313324 | + | 0.949646i | \(0.398557\pi\) | |||||||
\(608\) | 1.03644 | + | 0.0906769i | 0.0420333 | + | 0.00367743i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 0.217393 | + | 0.352611i | 0.00880197 | + | 0.0142768i | ||||
\(611\) | 7.46602 | − | 4.31051i | 0.302043 | − | 0.174384i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 3.48768 | + | 13.0162i | 0.140866 | + | 0.525720i | 0.999905 | + | 0.0138088i | \(0.00439561\pi\) |
−0.859038 | + | 0.511911i | \(0.828938\pi\) | |||||||
\(614\) | 0.0339541 | − | 0.192563i | 0.00137027 | − | 0.00777121i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 0.0647813 | + | 0.0235785i | 0.00261011 | + | 0.000950003i | ||||
\(617\) | −37.1967 | − | 26.0454i | −1.49748 | − | 1.04855i | −0.981392 | − | 0.192014i | \(-0.938498\pi\) |
−0.516090 | − | 0.856535i | \(-0.672613\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −0.765342 | + | 0.912099i | −0.0307617 | + | 0.0366604i | −0.781206 | − | 0.624273i | \(-0.785395\pi\) |
0.750444 | + | 0.660934i | \(0.229840\pi\) | |||||||
\(620\) | 19.6309 | + | 12.9173i | 0.788396 | + | 0.518770i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −0.226747 | − | 0.226747i | −0.00909171 | − | 0.00909171i | ||||
\(623\) | −0.0650434 | − | 0.743449i | −0.00260591 | − | 0.0297857i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −20.8758 | − | 13.7550i | −0.835032 | − | 0.550201i | ||||
\(626\) | −0.154339 | + | 0.424042i | −0.00616861 | + | 0.0169481i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −2.67993 | − | 3.82734i | −0.106941 | − | 0.152728i | ||||
\(629\) | 2.85104 | − | 4.93815i | 0.113678 | − | 0.196897i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 10.8669 | + | 18.8220i | 0.432605 | + | 0.749293i | 0.997097 | − | 0.0761454i | \(-0.0242613\pi\) |
−0.564492 | + | 0.825438i | \(0.690928\pi\) | |||||||
\(632\) | −0.0798737 | + | 0.171290i | −0.00317721 | + | 0.00681354i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 0.260588 | + | 0.310556i | 0.0103493 | + | 0.0123338i | ||||
\(635\) | 26.9623 | − | 34.0849i | 1.06997 | − | 1.35262i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 13.5149 | + | 6.30211i | 0.535481 | + | 0.249699i | ||||
\(638\) | −0.0811322 | + | 0.302790i | −0.00321206 | + | 0.0119876i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −0.343723 | + | 1.03658i | −0.0135868 | + | 0.0409743i | ||||
\(641\) | −11.0540 | − | 1.94912i | −0.436606 | − | 0.0769855i | −0.0489751 | − | 0.998800i | \(-0.515595\pi\) |
−0.387631 | + | 0.921815i | \(0.626707\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 21.6198 | − | 10.0815i | 0.852602 | − | 0.397575i | 0.0533535 | − | 0.998576i | \(-0.483009\pi\) |
0.799248 | + | 0.601001i | \(0.205231\pi\) | |||||||
\(644\) | 0.519308 | + | 2.94514i | 0.0204636 | + | 0.116055i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −0.117057 | − | 0.0982222i | −0.00460553 | − | 0.00386450i | ||||
\(647\) | 17.7336 | − | 17.7336i | 0.697179 | − | 0.697179i | −0.266622 | − | 0.963801i | \(-0.585908\pi\) |
0.963801 | + | 0.266622i | \(0.0859076\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 49.4134i | 1.93965i | ||||||||
\(650\) | −0.157259 | − | 0.0471512i | −0.00616820 | − | 0.00184942i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −17.4057 | + | 24.8579i | −0.681660 | + | 0.973511i | ||||
\(653\) | −7.70684 | − | 16.5274i | −0.301592 | − | 0.646766i | 0.695855 | − | 0.718183i | \(-0.255026\pi\) |
−0.997447 | + | 0.0714165i | \(0.977248\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 7.00871 | − | 7.42571i | 0.273853 | − | 0.290147i | ||||
\(656\) | −1.30364 | − | 0.752659i | −0.0508987 | − | 0.0293864i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 0.0152550 | + | 0.00408758i | 0.000594704 | + | 0.000159350i | ||||
\(659\) | −32.1808 | + | 11.7129i | −1.25359 | + | 0.456269i | −0.881612 | − | 0.471974i | \(-0.843542\pi\) |
−0.371975 | + | 0.928243i | \(0.621319\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 3.43935 | − | 2.88596i | 0.133775 | − | 0.112251i | −0.573445 | − | 0.819244i | \(-0.694393\pi\) |
0.707220 | + | 0.706993i | \(0.249949\pi\) | |||||||
\(662\) | −0.0132291 | + | 0.151210i | −0.000514165 | + | 0.00587693i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −0.103736 | − | 0.285012i | −0.00402573 | − | 0.0110606i | ||||
\(665\) | 2.44905 | − | 2.17856i | 0.0949703 | − | 0.0844811i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −26.2716 | + | 7.03946i | −1.01724 | + | 0.272569i | ||||
\(668\) | −31.7846 | + | 22.2558i | −1.22978 | + | 0.861103i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 0.0502925 | − | 0.0374252i | 0.00194297 | − | 0.00144586i | ||||
\(671\) | 52.2754 | − | 9.21756i | 2.01807 | − | 0.355840i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 15.0821 | − | 1.31952i | 0.581374 | − | 0.0508636i | 0.207324 | − | 0.978272i | \(-0.433525\pi\) |
0.374050 | + | 0.927409i | \(0.377969\pi\) | |||||||
\(674\) | −0.214165 | −0.00824933 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −16.7465 | −0.644096 | ||||||||
\(677\) | 9.69800 | − | 0.848465i | 0.372724 | − | 0.0326092i | 0.100745 | − | 0.994912i | \(-0.467877\pi\) |
0.271979 | + | 0.962303i | \(0.412322\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −1.19775 | + | 0.211196i | −0.0459656 | + | 0.00810497i | ||||
\(680\) | 0.193032 | − | 0.143645i | 0.00740244 | − | 0.00550853i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −0.287495 | + | 0.201306i | −0.0110088 | + | 0.00770842i | ||||
\(683\) | 22.4891 | − | 6.02595i | 0.860523 | − | 0.230577i | 0.198538 | − | 0.980093i | \(-0.436381\pi\) |
0.661985 | + | 0.749517i | \(0.269714\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 11.6884 | − | 10.3975i | 0.446592 | − | 0.397267i | ||||
\(686\) | 0.0187764 | + | 0.0515877i | 0.000716886 | + | 0.00196963i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 3.17388 | − | 36.2776i | 0.121003 | − | 1.38307i | ||||
\(689\) | 19.0107 | − | 15.9519i | 0.724249 | − | 0.607717i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −4.24724 | + | 1.54587i | −0.161573 | + | 0.0588077i | −0.421540 | − | 0.906810i | \(-0.638510\pi\) |
0.259968 | + | 0.965617i | \(0.416288\pi\) | |||||||
\(692\) | −11.2303 | − | 3.00916i | −0.426913 | − | 0.114391i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −0.0807256 | − | 0.0466069i | −0.00306430 | − | 0.00176918i | ||||
\(695\) | −12.5278 | + | 13.2731i | −0.475205 | + | 0.503479i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 0.280365 | + | 0.601245i | 0.0106196 | + | 0.0227738i | ||||
\(698\) | 0.0334725 | − | 0.0478038i | 0.00126695 | − | 0.00180940i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 1.22377 | + | 2.27188i | 0.0462543 | + | 0.0858691i | ||||
\(701\) | − | 28.3612i | − | 1.07119i | −0.844476 | − | 0.535593i | \(-0.820088\pi\) | ||
0.844476 | − | 0.535593i | \(-0.179912\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −12.9958 | + | 12.9958i | −0.490147 | + | 0.490147i | ||||
\(704\) | 26.7896 | + | 22.4791i | 1.00967 | + | 0.847214i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −0.00590457 | − | 0.0334865i | −0.000222221 | − | 0.00126028i | ||||
\(707\) | −0.675769 | + | 0.315116i | −0.0254149 | + | 0.0118512i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −27.9978 | − | 4.93677i | −1.05148 | − | 0.185404i | −0.378907 | − | 0.925435i | \(-0.623700\pi\) |
−0.672574 | + | 0.740030i | \(0.734811\pi\) | |||||||
\(710\) | −0.0551302 | + | 0.166258i | −0.00206900 | + | 0.00623956i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −0.0457011 | + | 0.170559i | −0.00171272 | + | 0.00639196i | ||||
\(713\) | −27.5987 | − | 12.8695i | −1.03358 | − | 0.481966i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −13.0519 | + | 16.4998i | −0.488113 | + | 0.617056i | ||||
\(716\) | −12.2880 | − | 14.6443i | −0.459224 | − | 0.547282i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 0.0761394 | − | 0.163281i | 0.00284150 | − | 0.00609361i | ||||
\(719\) | 8.97949 | + | 15.5529i | 0.334878 | + | 0.580026i | 0.983461 | − | 0.181118i | \(-0.0579714\pi\) |
−0.648583 | + | 0.761144i | \(0.724638\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 1.30318 | − | 2.25717i | 0.0485328 | − | 0.0840612i | ||||
\(722\) | 0.116124 | + | 0.165843i | 0.00432170 | + | 0.00617202i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −9.49171 | + | 26.0783i | −0.352757 | + | 0.969191i | ||||
\(725\) | −19.6134 | + | 12.8883i | −0.728425 | + | 0.478660i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 2.47494 | + | 28.2887i | 0.0917905 | + | 1.04917i | 0.892780 | + | 0.450492i | \(0.148751\pi\) |
−0.800990 | + | 0.598678i | \(0.795693\pi\) | |||||||
\(728\) | 0.0239671 | + | 0.0239671i | 0.000888279 | + | 0.000888279i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 0.409497 | + | 0.269452i | 0.0151562 | + | 0.00997286i | ||||
\(731\) | −10.3159 | + | 12.2941i | −0.381549 | + | 0.454712i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −8.28966 | − | 5.80448i | −0.306185 | − | 0.214393i | 0.410378 | − | 0.911916i | \(-0.365397\pi\) |
−0.716563 | + | 0.697522i | \(0.754286\pi\) | |||||||
\(734\) | −0.0304169 | − | 0.0110708i | −0.00112271 | − | 0.000408632i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 0.184310 | − | 1.04527i | 0.00679374 | − | 0.0385292i | ||||
\(737\) | −2.07915 | − | 7.75949i | −0.0765865 | − | 0.285825i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 35.8294 | − | 20.6861i | 1.31801 | − | 0.760951i | 0.334598 | − | 0.942361i | \(-0.391399\pi\) |
0.983408 | + | 0.181410i | \(0.0580660\pi\) | |||||||
\(740\) | −7.59340 | − | 12.3165i | −0.279139 | − | 0.452763i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 0.0452897 | + | 0.00396233i | 0.00166264 | + | 0.000145462i | ||||
\(743\) | 7.70953 | + | 0.674496i | 0.282835 | + | 0.0247449i | 0.227691 | − | 0.973734i | \(-0.426882\pi\) |
0.0551445 | + | 0.998478i | \(0.482438\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −9.95303 | + | 41.9564i | −0.364651 | + | 1.53716i | ||||
\(746\) | 0.0438849 | − | 0.0253370i | 0.00160674 | − | 0.000927653i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −3.98985 | − | 14.8903i | −0.145883 | − | 0.544444i | ||||
\(749\) | −0.673470 | + | 3.81944i | −0.0246080 | + | 0.139559i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −38.8916 | − | 14.1554i | −1.41918 | − | 0.516537i | −0.485367 | − | 0.874311i | \(-0.661314\pi\) |
−0.933808 | + | 0.357773i | \(0.883536\pi\) | |||||||
\(752\) | 13.1292 | + | 9.19318i | 0.478773 | + | 0.335241i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −0.0990675 | + | 0.118064i | −0.00360782 | + | 0.00429964i | ||||
\(755\) | −18.4622 | + | 28.0577i | −0.671907 | + | 1.02112i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −10.7021 | − | 10.7021i | −0.388975 | − | 0.388975i | 0.485347 | − | 0.874322i | \(-0.338693\pi\) |
−0.874322 | + | 0.485347i | \(0.838693\pi\) | |||||||
\(758\) | −0.0209745 | − | 0.239740i | −0.000761830 | − | 0.00870775i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −0.720809 | + | 0.286186i | −0.0261465 | + | 0.0103811i | ||||
\(761\) | −16.8761 | + | 46.3666i | −0.611756 | + | 1.68079i | 0.114551 | + | 0.993417i | \(0.463457\pi\) |
−0.726308 | + | 0.687370i | \(0.758765\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −1.77680 | − | 2.53754i | −0.0643246 | − | 0.0918651i | ||||
\(764\) | −11.8764 | + | 20.5705i | −0.429673 | + | 0.744215i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 0.210244 | + | 0.364154i | 0.00759643 | + | 0.0131574i | ||||
\(767\) | −10.2674 | + | 22.0185i | −0.370733 | + | 0.795040i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −4.55804 | − | 5.43206i | −0.164367 | − | 0.195885i | 0.677574 | − | 0.735455i | \(-0.263031\pi\) |
−0.841941 | + | 0.539570i | \(0.818587\pi\) | |||||||
\(770\) | −0.0382805 | + | 0.00446631i | −0.00137953 | + | 0.000160955i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −21.9426 | − | 10.2320i | −0.789733 | − | 0.368259i | ||||
\(773\) | −2.31145 | + | 8.62644i | −0.0831370 | + | 0.310272i | −0.994955 | − | 0.100323i | \(-0.968012\pi\) |
0.911818 | + | 0.410595i | \(0.134679\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −26.0974 | − | 3.06131i | −0.937446 | − | 0.109966i | ||||
\(776\) | 0.283394 | + | 0.0499700i | 0.0101733 | + | 0.00179382i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 0.415360 | − | 0.193686i | 0.0148914 | − | 0.00694397i | ||||
\(779\) | −0.371305 | − | 2.10578i | −0.0133034 | − | 0.0754473i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 17.1943 | + |