Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [414,3,Mod(35,414)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(414, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([11, 20]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("414.35");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 414 = 2 \cdot 3^{2} \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 414.k (of order \(22\), degree \(10\), 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: | \(11.2806829445\) |
Analytic rank: | \(0\) |
Dimension: | \(80\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 71.1 | ||
Character | \(\chi\) | \(=\) | 414.71 |
Dual form | 414.3.k.b.35.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/414\mathbb{Z}\right)^\times\).
\(n\) | \(47\) | \(235\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{11}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.764582 | + | 1.18971i | −0.382291 | + | 0.594856i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −0.830830 | − | 1.81926i | −0.207708 | − | 0.454816i | ||||
\(5\) | −2.17725 | + | 7.41503i | −0.435450 | + | 1.48301i | 0.391209 | + | 0.920302i | \(0.372057\pi\) |
−0.826659 | + | 0.562704i | \(0.809761\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 6.85488 | − | 7.91095i | 0.979268 | − | 1.13014i | −0.0122182 | − | 0.999925i | \(-0.503889\pi\) |
0.991486 | − | 0.130210i | \(-0.0415653\pi\) | |||||||
\(8\) | 2.79964 | + | 0.402527i | 0.349955 | + | 0.0503159i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −7.15707 | − | 8.25969i | −0.715707 | − | 0.825969i | ||||
\(11\) | −0.214579 | − | 0.333892i | −0.0195072 | − | 0.0303538i | 0.831363 | − | 0.555730i | \(-0.187561\pi\) |
−0.850870 | + | 0.525376i | \(0.823925\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 7.09545 | + | 8.18859i | 0.545804 | + | 0.629891i | 0.959900 | − | 0.280342i | \(-0.0904478\pi\) |
−0.414096 | + | 0.910233i | \(0.635902\pi\) | |||||||
\(14\) | 4.17064 | + | 14.2039i | 0.297903 | + | 1.01456i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −2.61944 | + | 3.02300i | −0.163715 | + | 0.188937i | ||||
\(17\) | 9.43996 | + | 4.31109i | 0.555292 | + | 0.253593i | 0.673237 | − | 0.739427i | \(-0.264903\pi\) |
−0.117945 | + | 0.993020i | \(0.537631\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 6.43909 | + | 14.0996i | 0.338899 | + | 0.742086i | 0.999966 | − | 0.00824092i | \(-0.00262319\pi\) |
−0.661067 | + | 0.750327i | \(0.729896\pi\) | |||||||
\(20\) | 15.2988 | − | 2.19964i | 0.764941 | − | 0.109982i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 0.561299 | 0.0255136 | ||||||||
\(23\) | 21.1528 | + | 9.03111i | 0.919685 | + | 0.392657i | ||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −29.2109 | − | 18.7727i | −1.16844 | − | 0.750908i | ||||
\(26\) | −15.1671 | + | 2.18070i | −0.583351 | + | 0.0838731i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −20.0873 | − | 5.89818i | −0.717405 | − | 0.210649i | ||||
\(29\) | −38.3477 | − | 17.5128i | −1.32234 | − | 0.603890i | −0.375863 | − | 0.926675i | \(-0.622654\pi\) |
−0.946472 | + | 0.322785i | \(0.895381\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −1.84235 | + | 12.8139i | −0.0594308 | + | 0.413350i | 0.938289 | + | 0.345853i | \(0.112410\pi\) |
−0.997719 | + | 0.0674970i | \(0.978499\pi\) | |||||||
\(32\) | −1.59372 | − | 5.42771i | −0.0498038 | − | 0.169616i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −12.3466 | + | 7.93466i | −0.363135 | + | 0.233372i | ||||
\(35\) | 43.7352 | + | 68.0532i | 1.24958 | + | 1.94438i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −25.4655 | + | 7.47734i | −0.688256 | + | 0.202090i | −0.607117 | − | 0.794613i | \(-0.707674\pi\) |
−0.0811391 | + | 0.996703i | \(0.525856\pi\) | |||||||
\(38\) | −21.6977 | − | 3.11966i | −0.570993 | − | 0.0820964i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −9.08026 | + | 19.8830i | −0.227006 | + | 0.497075i | ||||
\(41\) | −14.1920 | + | 48.3334i | −0.346146 | + | 1.17886i | 0.584025 | + | 0.811736i | \(0.301477\pi\) |
−0.930170 | + | 0.367128i | \(0.880341\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 2.60054 | + | 18.0871i | 0.0604777 | + | 0.420631i | 0.997458 | + | 0.0712505i | \(0.0226990\pi\) |
−0.936981 | + | 0.349381i | \(0.886392\pi\) | |||||||
\(44\) | −0.429159 | + | 0.667784i | −0.00975360 | + | 0.0151769i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −26.9174 | + | 18.2607i | −0.585161 | + | 0.396971i | ||||
\(47\) | 47.1029i | 1.00219i | 0.865392 | + | 0.501095i | \(0.167069\pi\) | ||||
−0.865392 | + | 0.501095i | \(0.832931\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −8.62036 | − | 59.9559i | −0.175926 | − | 1.22359i | ||||
\(50\) | 44.6682 | − | 20.3993i | 0.893365 | − | 0.407986i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 9.00209 | − | 19.7118i | 0.173117 | − | 0.379074i | ||||
\(53\) | 40.3577 | + | 34.9701i | 0.761466 | + | 0.659814i | 0.946422 | − | 0.322933i | \(-0.104669\pi\) |
−0.184956 | + | 0.982747i | \(0.559214\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 2.94301 | − | 0.864146i | 0.0535093 | − | 0.0157117i | ||||
\(56\) | 22.3755 | − | 19.3885i | 0.399563 | − | 0.346224i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 50.1552 | − | 32.2328i | 0.864745 | − | 0.555738i | ||||
\(59\) | −36.5799 | + | 31.6966i | −0.619998 | + | 0.537231i | −0.907233 | − | 0.420629i | \(-0.861809\pi\) |
0.287235 | + | 0.957860i | \(0.407264\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −9.80873 | + | 68.2212i | −0.160799 | + | 1.11838i | 0.736334 | + | 0.676619i | \(0.236555\pi\) |
−0.897132 | + | 0.441762i | \(0.854354\pi\) | |||||||
\(62\) | −13.8362 | − | 11.9891i | −0.223164 | − | 0.193373i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 7.67594 | + | 2.25386i | 0.119937 | + | 0.0352166i | ||||
\(65\) | −76.1672 | + | 34.7844i | −1.17180 | + | 0.535144i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 79.4192 | + | 51.0396i | 1.18536 | + | 0.761785i | 0.976364 | − | 0.216131i | \(-0.0693438\pi\) |
0.208997 | + | 0.977916i | \(0.432980\pi\) | |||||||
\(68\) | − | 20.7556i | − | 0.305229i | ||||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −114.403 | −1.63433 | ||||||||
\(71\) | 59.1643 | − | 92.0615i | 0.833300 | − | 1.29664i | −0.119436 | − | 0.992842i | \(-0.538109\pi\) |
0.952736 | − | 0.303799i | \(-0.0982550\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −6.28038 | − | 13.7521i | −0.0860325 | − | 0.188385i | 0.861726 | − | 0.507374i | \(-0.169384\pi\) |
−0.947758 | + | 0.318989i | \(0.896657\pi\) | |||||||
\(74\) | 10.5745 | − | 36.0136i | 0.142899 | − | 0.486670i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 20.3012 | − | 23.4288i | 0.267121 | − | 0.308274i | ||||
\(77\) | −4.11232 | − | 0.591262i | −0.0534067 | − | 0.00767873i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −2.59730 | − | 2.99744i | −0.0328772 | − | 0.0379423i | 0.739073 | − | 0.673626i | \(-0.235264\pi\) |
−0.771950 | + | 0.635683i | \(0.780718\pi\) | |||||||
\(80\) | −16.7124 | − | 26.0051i | −0.208906 | − | 0.325063i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −46.6520 | − | 53.8392i | −0.568926 | − | 0.656576i | ||||
\(83\) | −29.9013 | − | 101.835i | −0.360257 | − | 1.22692i | −0.917890 | − | 0.396835i | \(-0.870108\pi\) |
0.557633 | − | 0.830088i | \(-0.311710\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −52.5200 | + | 60.6113i | −0.617882 | + | 0.713074i | ||||
\(86\) | −23.5068 | − | 10.7352i | −0.273335 | − | 0.124828i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −0.466344 | − | 1.02115i | −0.00529936 | − | 0.0116040i | ||||
\(89\) | −96.4907 | + | 13.8733i | −1.08417 | + | 0.155879i | −0.661158 | − | 0.750247i | \(-0.729935\pi\) |
−0.423007 | + | 0.906126i | \(0.639026\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 113.418 | 1.24635 | ||||||||
\(92\) | −1.14437 | − | 45.9858i | −0.0124388 | − | 0.499845i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −56.0389 | − | 36.0140i | −0.596159 | − | 0.383128i | ||||
\(95\) | −118.569 | + | 17.0476i | −1.24809 | + | 0.179449i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 136.320 | + | 40.0270i | 1.40536 | + | 0.412650i | 0.894520 | − | 0.447028i | \(-0.147518\pi\) |
0.510836 | + | 0.859678i | \(0.329336\pi\) | |||||||
\(98\) | 77.9213 | + | 35.5854i | 0.795115 | + | 0.363117i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −9.88322 | + | 68.7393i | −0.0988322 | + | 0.687393i | ||||
\(101\) | 17.9643 | + | 61.1809i | 0.177865 | + | 0.605751i | 0.999368 | + | 0.0355476i | \(0.0113175\pi\) |
−0.821503 | + | 0.570204i | \(0.806864\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −159.755 | + | 102.668i | −1.55102 | + | 0.996779i | −0.565986 | + | 0.824415i | \(0.691504\pi\) |
−0.985033 | + | 0.172364i | \(0.944859\pi\) | |||||||
\(104\) | 16.5686 | + | 25.7812i | 0.159313 | + | 0.247896i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −72.4611 | + | 21.2765i | −0.683596 | + | 0.200722i | ||||
\(107\) | 8.05726 | + | 1.15846i | 0.0753015 | + | 0.0108267i | 0.179863 | − | 0.983692i | \(-0.442435\pi\) |
−0.104561 | + | 0.994518i | \(0.533344\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 80.0266 | − | 175.234i | 0.734189 | − | 1.60765i | −0.0586952 | − | 0.998276i | \(-0.518694\pi\) |
0.792884 | − | 0.609373i | \(-0.208579\pi\) | |||||||
\(110\) | −1.22209 | + | 4.16205i | −0.0111099 | + | 0.0378368i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 5.95883 | + | 41.4446i | 0.0532038 | + | 0.370041i | ||||
\(113\) | 94.9377 | − | 147.726i | 0.840157 | − | 1.30731i | −0.109490 | − | 0.993988i | \(-0.534922\pi\) |
0.949647 | − | 0.313322i | \(-0.101442\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −113.021 | + | 137.185i | −0.982789 | + | 1.19292i | ||||
\(116\) | 84.3148i | 0.726852i | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −9.74158 | − | 67.7542i | −0.0825558 | − | 0.574188i | ||||
\(119\) | 98.8146 | − | 45.1271i | 0.830375 | − | 0.379219i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 50.1998 | − | 109.922i | 0.414874 | − | 0.908448i | ||||
\(122\) | −73.6640 | − | 63.8302i | −0.603803 | − | 0.523199i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 24.8425 | − | 7.29440i | 0.200342 | − | 0.0588258i | ||||
\(125\) | 56.7875 | − | 49.2066i | 0.454300 | − | 0.393653i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 188.425 | − | 121.094i | 1.48366 | − | 0.953493i | 0.486871 | − | 0.873474i | \(-0.338138\pi\) |
0.996793 | − | 0.0800193i | \(-0.0254982\pi\) | |||||||
\(128\) | −8.55033 | + | 7.40890i | −0.0667995 | + | 0.0578821i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 16.8526 | − | 117.213i | 0.129636 | − | 0.901635i | ||||
\(131\) | −32.8193 | − | 28.4381i | −0.250529 | − | 0.217085i | 0.520538 | − | 0.853838i | \(-0.325731\pi\) |
−0.771067 | + | 0.636754i | \(0.780277\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 155.681 | + | 45.7120i | 1.17053 | + | 0.343699i | ||||
\(134\) | −121.445 | + | 55.4620i | −0.906305 | + | 0.413896i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 24.6931 | + | 15.8693i | 0.181567 | + | 0.116686i | ||||
\(137\) | − | 144.020i | − | 1.05124i | −0.850720 | − | 0.525620i | \(-0.823834\pi\) | ||
0.850720 | − | 0.525620i | \(-0.176166\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 152.496 | 1.09710 | 0.548548 | − | 0.836119i | \(-0.315181\pi\) | ||||
0.548548 | + | 0.836119i | \(0.315181\pi\) | |||||||
\(140\) | 87.4703 | − | 136.106i | 0.624788 | − | 0.972189i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 64.2907 | + | 140.777i | 0.452751 | + | 0.991387i | ||||
\(143\) | 1.21157 | − | 4.12622i | 0.00847249 | − | 0.0288547i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 213.351 | − | 246.220i | 1.47138 | − | 1.69807i | ||||
\(146\) | 21.1629 | + | 3.04277i | 0.144951 | + | 0.0208409i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 34.7607 | + | 40.1160i | 0.234870 | + | 0.271054i | ||||
\(149\) | 72.5921 | + | 112.955i | 0.487195 | + | 0.758090i | 0.994618 | − | 0.103607i | \(-0.0330383\pi\) |
−0.507423 | + | 0.861697i | \(0.669402\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −38.5745 | − | 44.5173i | −0.255460 | − | 0.294817i | 0.613504 | − | 0.789692i | \(-0.289759\pi\) |
−0.868964 | + | 0.494875i | \(0.835214\pi\) | |||||||
\(152\) | 12.3516 | + | 42.0658i | 0.0812607 | + | 0.276749i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 3.84763 | − | 4.44041i | 0.0249846 | − | 0.0288338i | ||||
\(155\) | −91.0038 | − | 41.5601i | −0.587121 | − | 0.268129i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −91.0843 | − | 199.447i | −0.580155 | − | 1.27036i | −0.941211 | − | 0.337818i | \(-0.890311\pi\) |
0.361056 | − | 0.932544i | \(-0.382416\pi\) | |||||||
\(158\) | 5.55193 | − | 0.798248i | 0.0351388 | − | 0.00505220i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 43.7166 | 0.273229 | ||||||||
\(161\) | 216.444 | − | 105.431i | 1.34437 | − | 0.654852i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 233.616 | + | 150.136i | 1.43323 | + | 0.921080i | 0.999802 | + | 0.0198904i | \(0.00633172\pi\) |
0.433426 | + | 0.901189i | \(0.357305\pi\) | |||||||
\(164\) | 99.7224 | − | 14.3379i | 0.608063 | − | 0.0874263i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 144.016 | + | 42.2869i | 0.867565 | + | 0.254740i | ||||
\(167\) | −198.914 | − | 90.8409i | −1.19110 | − | 0.543958i | −0.281549 | − | 0.959547i | \(-0.590848\pi\) |
−0.909552 | + | 0.415589i | \(0.863575\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 7.34367 | − | 51.0764i | 0.0434537 | − | 0.302227i | ||||
\(170\) | −31.9542 | − | 108.826i | −0.187966 | − | 0.640153i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 30.7447 | − | 19.7584i | 0.178748 | − | 0.114874i | ||||
\(173\) | 148.356 | + | 230.846i | 0.857549 | + | 1.33437i | 0.941191 | + | 0.337876i | \(0.109708\pi\) |
−0.0836422 | + | 0.996496i | \(0.526655\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −348.747 | + | 102.401i | −1.99284 | + | 0.585151i | ||||
\(176\) | 1.57143 | + | 0.225938i | 0.00892860 | + | 0.00128374i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 57.2698 | − | 125.403i | 0.321741 | − | 0.704514i | ||||
\(179\) | −68.5892 | + | 233.593i | −0.383180 | + | 1.30499i | 0.511885 | + | 0.859054i | \(0.328948\pi\) |
−0.895065 | + | 0.445937i | \(0.852871\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 26.2047 | + | 182.258i | 0.144778 | + | 1.00695i | 0.924597 | + | 0.380946i | \(0.124402\pi\) |
−0.779820 | + | 0.626004i | \(0.784689\pi\) | |||||||
\(182\) | −86.7173 | + | 134.935i | −0.476469 | + | 0.741400i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 55.5848 | + | 33.7984i | 0.302091 | + | 0.183687i | ||||
\(185\) | − | 205.107i | − | 1.10869i | ||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −0.586184 | − | 4.07700i | −0.00313467 | − | 0.0218021i | ||||
\(188\) | 85.6926 | − | 39.1345i | 0.455812 | − | 0.208162i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 70.3737 | − | 154.097i | 0.370388 | − | 0.811037i | ||||
\(191\) | −106.359 | − | 92.1603i | −0.556852 | − | 0.482515i | 0.330374 | − | 0.943850i | \(-0.392825\pi\) |
−0.887226 | + | 0.461335i | \(0.847371\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −364.220 | + | 106.945i | −1.88715 | + | 0.554117i | −0.892470 | + | 0.451107i | \(0.851029\pi\) |
−0.994680 | + | 0.103010i | \(0.967153\pi\) | |||||||
\(194\) | −151.848 | + | 131.577i | −0.782722 | + | 0.678232i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −101.914 | + | 65.4959i | −0.519967 | + | 0.334163i | ||||
\(197\) | 139.830 | − | 121.163i | 0.709796 | − | 0.615042i | −0.223266 | − | 0.974758i | \(-0.571672\pi\) |
0.933062 | + | 0.359716i | \(0.117126\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −19.0391 | + | 132.420i | −0.0956739 | + | 0.665427i | 0.884391 | + | 0.466748i | \(0.154574\pi\) |
−0.980065 | + | 0.198679i | \(0.936335\pi\) | |||||||
\(200\) | −74.2234 | − | 64.3150i | −0.371117 | − | 0.321575i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −86.5228 | − | 25.4054i | −0.428331 | − | 0.125769i | ||||
\(203\) | −401.412 | + | 183.319i | −1.97740 | + | 0.903048i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −327.494 | − | 210.468i | −1.59753 | − | 1.02667i | ||||
\(206\) | − | 268.561i | − | 1.30369i | ||||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −43.3402 | −0.208366 | ||||||||
\(209\) | 3.32606 | − | 5.17545i | 0.0159142 | − | 0.0247629i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −73.6327 | − | 161.233i | −0.348970 | − | 0.764138i | −0.999987 | − | 0.00507499i | \(-0.998385\pi\) |
0.651017 | − | 0.759063i | \(-0.274343\pi\) | |||||||
\(212\) | 30.0895 | − | 102.476i | 0.141932 | − | 0.483375i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −7.53867 | + | 8.70009i | −0.0352274 | + | 0.0406546i | ||||
\(215\) | −139.779 | − | 20.0971i | −0.650134 | − | 0.0934751i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 88.7406 | + | 102.412i | 0.408943 | + | 0.471945i | ||||
\(218\) | 147.291 | + | 229.189i | 0.675646 | + | 1.05133i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −4.01725 | − | 4.63616i | −0.0182602 | − | 0.0210734i | ||||
\(221\) | 31.6791 | + | 107.889i | 0.143344 | + | 0.488186i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −98.4729 | + | 113.644i | −0.441582 | + | 0.509613i | −0.932290 | − | 0.361711i | \(-0.882193\pi\) |
0.490708 | + | 0.871324i | \(0.336738\pi\) | |||||||
\(224\) | −53.8631 | − | 24.5985i | −0.240460 | − | 0.109815i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 103.164 | + | 225.897i | 0.456477 | + | 0.999545i | ||||
\(227\) | 28.9087 | − | 4.15644i | 0.127351 | − | 0.0183103i | −0.0783445 | − | 0.996926i | \(-0.524963\pi\) |
0.205696 | + | 0.978616i | \(0.434054\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 112.703 | 0.492155 | 0.246077 | − | 0.969250i | \(-0.420858\pi\) | ||||
0.246077 | + | 0.969250i | \(0.420858\pi\) | |||||||
\(230\) | −76.7975 | − | 239.352i | −0.333902 | − | 1.04066i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −100.310 | − | 64.4656i | −0.432372 | − | 0.277869i | ||||
\(233\) | −327.182 | + | 47.0417i | −1.40421 | + | 0.201896i | −0.802422 | − | 0.596757i | \(-0.796456\pi\) |
−0.601792 | + | 0.798653i | \(0.705547\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −349.269 | − | 102.555i | −1.48625 | − | 0.436403i | ||||
\(236\) | 88.0562 | + | 40.2139i | 0.373119 | + | 0.170398i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −21.8635 | + | 152.064i | −0.0918636 | + | 0.638925i | ||||
\(239\) | −25.3309 | − | 86.2691i | −0.105987 | − | 0.360959i | 0.889373 | − | 0.457183i | \(-0.151142\pi\) |
−0.995360 | + | 0.0962243i | \(0.969323\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 119.043 | − | 76.5040i | 0.493953 | − | 0.317444i | −0.269841 | − | 0.962905i | \(-0.586971\pi\) |
0.763793 | + | 0.645461i | \(0.223335\pi\) | |||||||
\(242\) | 92.3939 | + | 143.768i | 0.381793 | + | 0.594082i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 132.262 | − | 38.8356i | 0.542056 | − | 0.159162i | ||||
\(245\) | 463.344 | + | 66.6188i | 1.89120 | + | 0.271913i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −69.7679 | + | 152.770i | −0.282461 | + | 0.618504i | ||||
\(248\) | −10.3158 | + | 35.1325i | −0.0415962 | + | 0.141663i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 15.1231 | + | 105.183i | 0.0604923 | + | 0.420733i | ||||
\(251\) | 23.0848 | − | 35.9207i | 0.0919714 | − | 0.143110i | −0.792219 | − | 0.610237i | \(-0.791074\pi\) |
0.884191 | + | 0.467126i | \(0.154711\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −1.52353 | − | 9.00062i | −0.00602185 | − | 0.0355756i | ||||
\(254\) | 316.758i | 1.24708i | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −2.27704 | − | 15.8371i | −0.00889468 | − | 0.0618638i | ||||
\(257\) | 180.478 | − | 82.4214i | 0.702247 | − | 0.320706i | −0.0320950 | − | 0.999485i | \(-0.510218\pi\) |
0.734342 | + | 0.678779i | \(0.237491\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −115.410 | + | 252.712i | −0.445598 | + | 0.975723i | ||||
\(260\) | 126.564 | + | 109.668i | 0.486785 | + | 0.421801i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 58.9261 | − | 17.3023i | 0.224909 | − | 0.0660392i | ||||
\(263\) | 270.739 | − | 234.597i | 1.02943 | − | 0.892002i | 0.0352069 | − | 0.999380i | \(-0.488791\pi\) |
0.994218 | + | 0.107378i | \(0.0342455\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −347.173 | + | 223.115i | −1.31009 | + | 0.841942i | ||||
\(266\) | −173.415 | + | 150.265i | −0.651935 | + | 0.564905i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 26.8707 | − | 186.890i | 0.100264 | − | 0.697350i | ||||
\(269\) | 222.628 | + | 192.908i | 0.827612 | + | 0.717130i | 0.961778 | − | 0.273829i | \(-0.0882902\pi\) |
−0.134166 | + | 0.990959i | \(0.542836\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 340.168 | + | 99.8824i | 1.25523 | + | 0.368570i | 0.840718 | − | 0.541473i | \(-0.182133\pi\) |
0.414515 | + | 0.910043i | \(0.363951\pi\) | |||||||
\(272\) | −37.7599 | + | 17.2443i | −0.138823 | + | 0.0633983i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 171.342 | + | 110.115i | 0.625336 | + | 0.401879i | ||||
\(275\) | 13.7815i | 0.0501146i | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −185.653 | −0.670227 | −0.335114 | − | 0.942178i | \(-0.608775\pi\) | ||||
−0.335114 | + | 0.942178i | \(0.608775\pi\) | |||||||
\(278\) | −116.596 | + | 181.427i | −0.419410 | + | 0.652614i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 95.0493 | + | 208.129i | 0.339462 | + | 0.743318i | ||||
\(281\) | 57.0523 | − | 194.302i | 0.203033 | − | 0.691467i | −0.793523 | − | 0.608541i | \(-0.791755\pi\) |
0.996556 | − | 0.0829263i | \(-0.0264266\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 5.73619 | − | 6.61992i | 0.0202692 | − | 0.0233919i | −0.745524 | − | 0.666478i | \(-0.767801\pi\) |
0.765794 | + | 0.643086i | \(0.222346\pi\) | |||||||
\(284\) | −216.640 | − | 31.1481i | −0.762816 | − | 0.109676i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 3.98267 | + | 4.59624i | 0.0139254 | + | 0.0160708i | ||||
\(287\) | 285.079 | + | 443.592i | 0.993307 | + | 1.54562i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −118.727 | − | 137.019i | −0.410821 | − | 0.474113i | ||||
\(290\) | 129.807 | + | 442.081i | 0.447609 | + | 1.52442i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −19.8008 | + | 22.8513i | −0.0678109 | + | 0.0782580i | ||||
\(293\) | 50.5346 | + | 23.0784i | 0.172473 | + | 0.0787659i | 0.499781 | − | 0.866152i | \(-0.333414\pi\) |
−0.327307 | + | 0.944918i | \(0.606141\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −155.388 | − | 340.252i | −0.526739 | − | 1.15340i | ||||
\(296\) | −74.3039 | + | 10.6833i | −0.251027 | + | 0.0360922i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −189.887 | −0.637205 | ||||||||
\(299\) | 76.1363 | + | 237.291i | 0.254637 | + | 0.793615i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 160.913 | + | 103.412i | 0.534594 | + | 0.343563i | ||||
\(302\) | 82.4562 | − | 11.8554i | 0.273034 | − | 0.0392563i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −59.4900 | − | 17.4678i | −0.195691 | − | 0.0574600i | ||||
\(305\) | −484.506 | − | 221.267i | −1.58854 | − | 0.725464i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 59.4323 | − | 413.361i | 0.193590 | − | 1.34645i | −0.628817 | − | 0.777553i | \(-0.716461\pi\) |
0.822408 | − | 0.568898i | \(-0.192630\pi\) | |||||||
\(308\) | 2.34097 | + | 7.97263i | 0.00760057 | + | 0.0258852i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 119.024 | − | 76.4923i | 0.383949 | − | 0.246749i | ||||
\(311\) | −206.787 | − | 321.768i | −0.664912 | − | 1.03462i | −0.995854 | − | 0.0909714i | \(-0.971003\pi\) |
0.330942 | − | 0.943651i | \(-0.392634\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −290.730 | + | 85.3659i | −0.928848 | + | 0.272735i | −0.710955 | − | 0.703238i | \(-0.751737\pi\) |
−0.217894 | + | 0.975972i | \(0.569919\pi\) | |||||||
\(314\) | 306.926 | + | 44.1293i | 0.977470 | + | 0.140539i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −3.29522 | + | 7.21553i | −0.0104279 | + | 0.0228340i | ||||
\(317\) | 31.8532 | − | 108.482i | 0.100483 | − | 0.342215i | −0.893871 | − | 0.448324i | \(-0.852021\pi\) |
0.994355 | + | 0.106109i | \(0.0338393\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 2.38124 | + | 16.5619i | 0.00746470 | + | 0.0519181i | ||||
\(320\) | −33.4249 | + | 52.0101i | −0.104453 | + | 0.162532i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −40.0564 | + | 338.117i | −0.124399 | + | 1.05005i | ||||
\(323\) | 160.860i | 0.498017i | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −53.5426 | − | 372.397i | −0.164746 | − | 1.14584i | ||||
\(326\) | −357.237 | + | 163.145i | −1.09582 | + | 0.500444i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −59.1879 | + | 129.603i | −0.180451 | + | 0.395133i | ||||
\(329\) | 372.629 | + | 322.885i | 1.13261 | + | 0.981412i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −237.912 | + | 69.8572i | −0.718767 | + | 0.211049i | −0.620607 | − | 0.784122i | \(-0.713114\pi\) |
−0.0981597 | + | 0.995171i | \(0.531296\pi\) | |||||||
\(332\) | −160.421 | + | 139.006i | −0.483196 | + | 0.418692i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 260.160 | − | 167.195i | 0.778924 | − | 0.500584i | ||||
\(335\) | −551.376 | + | 477.770i | −1.64590 | + | 1.42618i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 83.4853 | − | 580.653i | 0.247731 | − | 1.72301i | −0.363535 | − | 0.931581i | \(-0.618430\pi\) |
0.611266 | − | 0.791426i | \(-0.290661\pi\) | |||||||
\(338\) | 55.1513 | + | 47.7889i | 0.163170 | + | 0.141387i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 153.903 | + | 45.1900i | 0.452656 | + | 0.132912i | ||||
\(341\) | 4.67377 | − | 2.13444i | 0.0137061 | − | 0.00625936i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −101.907 | − | 65.4916i | −0.297105 | − | 0.190938i | ||||
\(344\) | 51.6842i | 0.150245i | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −388.071 | −1.12159 | ||||||||
\(347\) | 8.34115 | − | 12.9791i | 0.0240379 | − | 0.0374037i | −0.829027 | − | 0.559209i | \(-0.811105\pi\) |
0.853065 | + | 0.521805i | \(0.174741\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 53.7344 | + | 117.662i | 0.153967 | + | 0.337140i | 0.970859 | − | 0.239649i | \(-0.0770325\pi\) |
−0.816893 | + | 0.576790i | \(0.804305\pi\) | |||||||
\(350\) | 144.817 | − | 493.203i | 0.413764 | − | 1.40915i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −1.47029 | + | 1.69680i | −0.00417696 | + | 0.00482047i | ||||
\(353\) | −29.1790 | − | 4.19531i | −0.0826601 | − | 0.0118847i | 0.100861 | − | 0.994901i | \(-0.467840\pi\) |
−0.183521 | + | 0.983016i | \(0.558749\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 553.823 | + | 639.146i | 1.56007 | + | 1.80041i | ||||
\(356\) | 105.407 | + | 164.016i | 0.296086 | + | 0.460718i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −225.467 | − | 260.203i | −0.629796 | − | 0.726823i | ||||
\(359\) | −88.9595 | − | 302.968i | −0.247798 | − | 0.843922i | −0.985627 | − | 0.168935i | \(-0.945967\pi\) |
0.737829 | − | 0.674987i | \(-0.235851\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 79.0667 | − | 91.2479i | 0.219021 | − | 0.252764i | ||||
\(362\) | −236.870 | − | 108.175i | −0.654337 | − | 0.298826i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −94.2310 | − | 206.337i | −0.258877 | − | 0.566860i | ||||
\(365\) | 115.646 | − | 16.6274i | 0.316839 | − | 0.0455546i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −471.775 | −1.28549 | −0.642745 | − | 0.766080i | \(-0.722205\pi\) | ||||
−0.642745 | + | 0.766080i | \(0.722205\pi\) | |||||||
\(368\) | −82.7095 | + | 40.2883i | −0.224754 | + | 0.109479i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 244.019 | + | 156.821i | 0.659510 | + | 0.423841i | ||||
\(371\) | 553.294 | − | 79.5517i | 1.49136 | − | 0.214425i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −326.699 | − | 95.9274i | −0.875868 | − | 0.257178i | −0.187259 | − | 0.982311i | \(-0.559960\pi\) |
−0.688609 | + | 0.725133i | \(0.741778\pi\) | |||||||
\(374\) | 5.29864 | + | 2.41981i | 0.0141675 | + | 0.00647007i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −18.9602 | + | 131.871i | −0.0504261 | + | 0.350721i | ||||
\(377\) | −128.689 | − | 438.275i | −0.341351 | − | 1.16253i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −151.044 | + | 97.0703i | −0.398534 | + | 0.256122i | −0.724522 | − | 0.689252i | \(-0.757939\pi\) |
0.325988 | + | 0.945374i | \(0.394303\pi\) | |||||||
\(380\) | 129.525 | + | 201.544i | 0.340854 | + | 0.530379i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 190.964 | − | 56.0721i | 0.499906 | − | 0.146786i | ||||
\(383\) | −0.639392 | − | 0.0919307i | −0.00166943 | − | 0.000240028i | 0.141480 | − | 0.989941i | \(-0.454814\pi\) |
−0.143150 | + | 0.989701i | \(0.545723\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 13.3378 | − | 29.2056i | 0.0346435 | − | 0.0758588i | ||||
\(386\) | 151.243 | − | 515.085i | 0.391820 | − | 1.33442i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −40.4386 | − | 281.257i | −0.104223 | − | 0.724889i | ||||
\(389\) | 56.5933 | − | 88.0609i | 0.145484 | − | 0.226378i | −0.760862 | − | 0.648914i | \(-0.775224\pi\) |
0.906346 | + | 0.422536i | \(0.138860\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 160.747 | + | 176.445i | 0.411119 | + | 0.451265i | ||||
\(392\) | − | 171.325i | − | 0.437053i | ||||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 37.2381 | + | 258.997i | 0.0945129 | + | 0.657352i | ||||
\(395\) | 27.8811 | − | 12.7329i | 0.0705850 | − | 0.0322351i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −84.9125 | + | 185.933i | −0.213885 | + | 0.468344i | −0.985916 | − | 0.167242i | \(-0.946514\pi\) |
0.772030 | + | 0.635586i | \(0.219241\pi\) | |||||||
\(398\) | −142.985 | − | 123.897i | −0.359258 | − | 0.311299i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 133.266 | − | 39.1305i | 0.333165 | − | 0.0978262i | ||||
\(401\) | −372.390 | + | 322.678i | −0.928654 | + | 0.804684i | −0.981012 | − | 0.193945i | \(-0.937872\pi\) |
0.0523581 | + | 0.998628i | \(0.483326\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −118.000 | + | 75.8338i | −0.292803 | + | 0.188173i | ||||
\(404\) | 96.3789 | − | 83.5128i | 0.238562 | − | 0.206715i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 88.8157 | − | 617.727i | 0.218758 | − | 1.52149i | ||||
\(407\) | 7.96098 | + | 6.89823i | 0.0195602 | + | 0.0169490i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 482.202 | + | 141.587i | 1.17898 | + | 0.346179i | 0.811780 | − | 0.583964i | \(-0.198499\pi\) |
0.367198 | + | 0.930143i | \(0.380317\pi\) | |||||||
\(410\) | 500.792 | − | 228.704i | 1.22144 | − | 0.557815i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 319.510 | + | 205.337i | 0.775509 | + | 0.498390i | ||||
\(413\) | 506.658i | 1.22677i | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 820.209 | 1.97641 | ||||||||
\(416\) | 33.1371 | − | 51.5624i | 0.0796566 | − | 0.123948i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 3.61425 | + | 7.91411i | 0.00864654 | + | 0.0189333i | ||||
\(419\) | 128.899 | − | 438.990i | 0.307635 | − | 1.04771i | −0.650051 | − | 0.759891i | \(-0.725252\pi\) |
0.957685 | − | 0.287817i | \(-0.0929295\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −135.667 | + | 156.568i | −0.322250 | + | 0.371897i | −0.893642 | − | 0.448781i | \(-0.851858\pi\) |
0.571392 | + | 0.820678i | \(0.306404\pi\) | |||||||
\(422\) | 248.119 | + | 35.6742i | 0.587960 | + | 0.0845359i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 98.9105 | + | 114.149i | 0.233279 | + | 0.269219i | ||||
\(425\) | −194.819 | − | 303.144i | −0.458398 | − | 0.713281i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 472.457 | + | 545.244i | 1.10646 | + | 1.27692i | ||||
\(428\) | −4.58667 | − | 15.6208i | −0.0107165 | − | 0.0364971i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 130.782 | − | 150.931i | 0.304144 | − | 0.351001i | ||||
\(431\) | 622.110 | + | 284.108i | 1.44341 | + | 0.659183i | 0.974567 | − | 0.224098i | \(-0.0719436\pi\) |
0.468843 | + | 0.883281i | \(0.344671\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −323.484 | − | 708.331i | −0.747076 | − | 1.63587i | −0.771551 | − | 0.636167i | \(-0.780519\pi\) |
0.0244753 | − | 0.999700i | \(-0.492208\pi\) | |||||||
\(434\) | −189.690 | + | 27.2734i | −0.437075 | + | 0.0628419i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −385.285 | −0.883681 | ||||||||
\(437\) | 8.86909 | + | 356.398i | 0.0202954 | + | 0.815557i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 124.273 | + | 79.8656i | 0.283083 | + | 0.181926i | 0.674475 | − | 0.738298i | \(-0.264370\pi\) |
−0.391392 | + | 0.920224i | \(0.628006\pi\) | |||||||
\(440\) | 8.58721 | − | 1.23465i | 0.0195164 | − | 0.00280603i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −152.578 | − | 44.8010i | −0.345200 | − | 0.101360i | ||||
\(443\) | −520.016 | − | 237.483i | −1.17385 | − | 0.536079i | −0.269554 | − | 0.962985i | \(-0.586876\pi\) |
−0.904296 | + | 0.426906i | \(0.859604\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 107.214 | − | 745.687i | 0.240929 | − | 1.67570i | ||||
\(446\) | −59.9128 | − | 204.044i | −0.134334 | − | 0.457498i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 70.4478 | − | 45.2741i | 0.157250 | − | 0.101058i | ||||
\(449\) | 41.2854 | + | 64.2414i | 0.0919497 | + | 0.143077i | 0.884181 | − | 0.467144i | \(-0.154717\pi\) |
−0.792231 | + | 0.610221i | \(0.791081\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 19.1834 | − | 5.63277i | 0.0425354 | − | 0.0124895i | ||||
\(452\) | −347.630 | − | 49.9816i | −0.769092 | − | 0.110579i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −17.1581 | + | 37.5710i | −0.0377932 | + | 0.0827555i | ||||
\(455\) | −246.939 | + | 840.998i | −0.542723 | + | 1.84835i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 56.5161 | + | 393.078i | 0.123668 | + | 0.860127i | 0.953345 | + | 0.301884i | \(0.0976154\pi\) |
−0.829677 | + | 0.558244i | \(0.811475\pi\) | |||||||
\(458\) | −86.1710 | + | 134.085i | −0.188146 | + | 0.292761i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 343.477 | + | 91.6369i | 0.746690 | + | 0.199211i | ||||
\(461\) | − | 682.564i | − | 1.48062i | −0.672268 | − | 0.740308i | \(-0.734680\pi\) | ||
0.672268 | − | 0.740308i | \(-0.265320\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 42.7124 | + | 297.071i | 0.0922513 | + | 0.641622i | 0.982516 | + | 0.186178i | \(0.0596103\pi\) |
−0.890265 | + | 0.455444i | \(0.849481\pi\) | |||||||
\(464\) | 153.391 | − | 70.0513i | 0.330584 | − | 0.150973i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 194.191 | − | 425.220i | 0.416719 | − | 0.912488i | ||||
\(467\) | −312.270 | − | 270.583i | −0.668671 | − | 0.579407i | 0.252958 | − | 0.967477i | \(-0.418596\pi\) |
−0.921630 | + | 0.388070i | \(0.873142\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 948.181 | − | 278.411i | 2.02171 | − | 0.593627i | ||||
\(470\) | 389.056 | − | 337.119i | 0.827778 | − | 0.717274i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −115.169 | + | 74.0147i | −0.244002 | + | 0.156811i | ||||
\(473\) | 5.48113 | − | 4.74943i | 0.0115880 | − | 0.0100411i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 76.5968 | − | 532.742i | 0.161256 | − | 1.12156i | ||||
\(476\) | −164.196 | − | 142.277i | −0.344950 | − | 0.298901i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 122.003 | + | 35.8233i | 0.255236 | + | 0.0749442i | ||||
\(479\) | 382.352 | − | 174.614i | 0.798230 | − | 0.364539i | 0.0258223 | − | 0.999667i | \(-0.491780\pi\) |
0.772408 | + | 0.635127i | \(0.219052\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −241.918 | − | 155.471i | −0.502948 | − | 0.323225i | ||||
\(482\) | 200.120i | 0.415187i | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −241.685 | −0.499349 | ||||||||
\(485\) | −593.603 | + | 923.665i | −1.22392 | + | 1.90446i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 222.909 | + | 488.103i | 0.457719 | + | 1.00226i | 0.988002 | + | 0.154444i | \(0.0493585\pi\) |
−0.530283 | + | 0.847821i | \(0.677914\pi\) | |||||||
\(488\) | −54.9218 | + | 187.046i | −0.112545 | + | 0.383292i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −433.521 | + | 500.310i | −0.884737 | + | 1.02104i | ||||
\(491\) | 347.574 | + | 49.9736i | 0.707891 | + | 0.101779i | 0.486850 | − | 0.873485i | \(-0.338146\pi\) |
0.221040 | + | 0.975265i | \(0.429055\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −286.502 | − | 330.641i | −0.581140 | − | 0.670671i | ||||
\(494\) | −128.410 | − | 199.809i | −0.259938 | − | 0.404472i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −33.9103 | − | 39.1346i | −0.0683676 | − | 0.0789004i | ||||
\(497\) | −322.730 | − | 1099.12i | −0.649355 | − | 2.21150i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 123.886 | − | 142.972i | 0.248268 | − | 0.286517i | −0.617913 | − | 0.786246i | \(-0.712022\pi\) |
0.866182 | + | 0.499729i | \(0.166567\pi\) | |||||||
\(500\) | −136.701 | − | 62.4291i | −0.273401 | − | 0.124858i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 25.0851 | + | 54.9286i | 0.0499702 | + | 0.109420i | ||||
\(503\) | −291.381 | + | 41.8942i | −0.579285 | + | 0.0832887i | −0.425728 | − | 0.904851i | \(-0.639982\pi\) |
−0.153557 | + | 0.988140i | \(0.549073\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −492.771 | −0.975784 | ||||||||
\(506\) | 11.8730 | + | 5.06915i | 0.0234645 | + | 0.0100181i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −376.851 | − | 242.187i | −0.741832 | − | 0.476747i | ||||
\(509\) | 800.318 | − | 115.068i | 1.57233 | − | 0.226067i | 0.699698 | − | 0.714439i | \(-0.253318\pi\) |
0.872636 | + | 0.488372i | \(0.162409\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −151.843 | − | 44.5853i | −0.297150 | − | 0.0872510i | ||||
\(512\) | 20.5826 | + | 9.39977i | 0.0402004 | + | 0.0183589i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −39.9322 | + | 277.734i | −0.0776890 | + | 0.540339i | ||||
\(515\) | −413.462 | − | 1408.12i | −0.802839 | − | 2.73422i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 15.7273 | − | 10.1073i | 0.0304203 | − | 0.0195499i | ||||
\(518\) | −212.415 | − | 330.524i | −0.410067 | − | 0.638076i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −227.242 | + | 66.7243i | −0.437004 | + | 0.128316i | ||||
\(521\) | 177.353 | + | 25.4995i | 0.340409 | + | 0.0489434i | 0.310400 | − | 0.950606i | \(-0.399537\pi\) |
0.0300095 | + | 0.999550i | \(0.490446\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −289.038 | + | 632.906i | −0.552655 | + | 1.21014i | 0.402877 | + | 0.915254i | \(0.368010\pi\) |
−0.955531 | + | 0.294890i | \(0.904717\pi\) | |||||||
\(524\) | −24.4691 | + | 83.3342i | −0.0466968 | + | 0.159035i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 72.1004 | + | 501.469i | 0.137073 | + | 0.953364i | ||||
\(527\) | −72.6334 | + | 113.020i | −0.137824 | + | 0.214459i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 365.878 | + | 382.066i | 0.691641 | + | 0.722241i | ||||
\(530\) | − | 583.626i | − | 1.10118i | ||||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −46.1821 | − | 321.203i | −0.0868084 | − | 0.603765i | ||||
\(533\) | −496.481 | + | 226.735i | −0.931484 | + | 0.425395i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −26.1327 | + | 57.2226i | −0.0488461 | + | 0.106958i | ||||
\(536\) | 201.800 | + | 174.861i | 0.376493 | + | 0.326233i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −399.722 | + | 117.369i | −0.742977 | + | 0.218158i | ||||
\(539\) | −18.1690 | + | 15.7436i | −0.0337088 | + | 0.0292088i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 884.439 | − | 568.394i | 1.63482 | − | 1.05064i | 0.689609 | − | 0.724182i | \(-0.257782\pi\) |
0.945213 | − | 0.326454i | \(-0.105854\pi\) | |||||||
\(542\) | −378.918 | + | 328.334i | −0.699110 | + | 0.605782i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 8.35468 | − | 58.1081i | 0.0153579 | − | 0.106816i | ||||
\(545\) | 1125.13 | + | 974.927i | 2.06445 | + | 1.78886i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 325.715 | + | 95.6385i | 0.595457 | + | 0.174842i | 0.565554 | − | 0.824711i | \(-0.308662\pi\) |
0.0299023 | + | 0.999553i | \(0.490480\pi\) | |||||||
\(548\) | −262.010 | + | 119.656i | −0.478120 | + | 0.218350i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −16.3960 | − | 10.5371i | −0.0298110 | − | 0.0191584i | ||||
\(551\) | − | 653.456i | − | 1.18595i | ||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −41.5167 | −0.0750755 | ||||||||
\(554\) | 141.947 | − | 220.874i | 0.256222 | − | 0.398689i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −126.699 | − | 277.431i | −0.227875 | − | 0.498977i | ||||
\(557\) | 206.082 | − | 701.853i | 0.369987 | − | 1.26006i | −0.538671 | − | 0.842516i | \(-0.681073\pi\) |
0.908658 | − | 0.417542i | \(-0.137108\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −129.656 | + | 149.631i | −0.231943 | + | 0.267677i | ||||
\(560\) | −320.287 | − | 46.0502i | −0.571940 | − | 0.0822326i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 187.543 | + | 216.436i | 0.333706 | + | 0.385117i | ||||
\(563\) | −300.394 | − | 467.422i | −0.533560 | − | 0.830235i | 0.464920 | − | 0.885353i | \(-0.346083\pi\) |
−0.998480 | + | 0.0551177i | \(0.982447\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 888.690 | + | 1025.60i | 1.57290 | + | 1.81523i | ||||
\(566\) | 3.49001 | + | 11.8859i | 0.00616610 | + | 0.0209998i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 202.696 | − | 233.924i | 0.356859 | − | 0.411837i | ||||
\(569\) | −666.120 | − | 304.207i | −1.17069 | − | 0.534634i | −0.267363 | − | 0.963596i | \(-0.586152\pi\) |
−0.903323 | + | 0.428962i | \(0.858879\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −107.957 | − | 236.393i | −0.189067 | − | 0.413998i | 0.791233 | − | 0.611515i | \(-0.209440\pi\) |
−0.980300 | + | 0.197517i | \(0.936712\pi\) | |||||||
\(572\) | −8.51328 | + | 1.22402i | −0.0148834 | + | 0.00213990i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −745.713 | −1.29915 | ||||||||
\(575\) | −448.353 | − | 660.901i | −0.779744 | − | 1.14939i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −214.902 | − | 138.109i | −0.372447 | − | 0.239357i | 0.341004 | − | 0.940062i | \(-0.389233\pi\) |
−0.713452 | + | 0.700704i | \(0.752869\pi\) | |||||||
\(578\) | 253.789 | − | 36.4894i | 0.439082 | − | 0.0631305i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −625.197 | − | 183.574i | −1.07793 | − | 0.316508i | ||||
\(581\) | −1010.58 | − | 461.516i | −1.73938 | − | 0.794347i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 3.01632 | − | 20.9790i | 0.00517379 | − | 0.0359845i | ||||
\(584\) | −12.0472 | − | 41.0289i | −0.0206287 | − | 0.0702550i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −66.0945 | + | 42.4764i | −0.112789 | + | 0.0724853i | ||||
\(587\) | 192.947 | + | 300.231i | 0.328699 | + | 0.511466i | 0.965791 | − | 0.259322i | \(-0.0834990\pi\) |
−0.637091 | + | 0.770788i | \(0.719863\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −192.534 | + | 56.5330i | −0.326882 | + | 0.0959814i | ||||
\(590\) | 523.609 | + | 75.2836i | 0.887473 | + | 0.127599i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 44.1014 | − | 96.5685i | 0.0744955 | − | 0.163122i | ||||
\(593\) | 8.41659 | − | 28.6643i | 0.0141932 | − | 0.0483377i | −0.952092 | − | 0.305812i | \(-0.901072\pi\) |
0.966285 | + | 0.257474i | \(0.0828903\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 119.475 | + | 830.966i | 0.200798 | + | 1.39658i | ||||
\(596\) | 145.184 | − | 225.911i | 0.243598 | − | 0.379045i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −340.520 | − | 90.8480i | −0.569432 | − | 0.151920i | ||||
\(599\) | − | 408.464i | − | 0.681910i | −0.940080 | − | 0.340955i | \(-0.889250\pi\) | ||
0.940080 | − | 0.340955i | \(-0.110750\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 105.635 | + | 734.708i | 0.175765 | + | 1.22248i | 0.866429 | + | 0.499300i | \(0.166409\pi\) |
−0.690664 | + | 0.723176i | \(0.742682\pi\) | |||||||
\(602\) | −246.062 | + | 112.373i | −0.408741 | + | 0.186666i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −48.9400 | + | 107.164i | −0.0810264 | + | 0.177423i | ||||
\(605\) | 705.779 | + | 611.561i | 1.16658 | + | 1.01084i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 89.8448 | − | 26.3808i | 0.148014 | − | 0.0434610i | −0.206886 | − | 0.978365i | \(-0.566333\pi\) |
0.354900 | + | 0.934904i | \(0.384515\pi\) | |||||||
\(608\) | 66.2667 | − | 57.4204i | 0.108991 | − | 0.0944415i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 633.688 | − | 407.247i | 1.03883 | − | 0.667617i | ||||
\(611\) | −385.706 | + | 334.216i | −0.631271 | + | 0.546999i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 129.544 | − | 901.001i | 0.211329 | − | 1.46982i | −0.557398 | − | 0.830245i | \(-0.688200\pi\) |
0.768727 | − | 0.639577i | \(-0.220891\pi\) | |||||||
\(614\) | 446.339 | + | 386.755i | 0.726937 | + | 0.629894i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −11.2750 | − | 3.31064i | −0.0183036 | − | 0.00537441i | ||||
\(617\) | 190.549 | − | 87.0207i | 0.308831 | − | 0.141038i | −0.254970 | − | 0.966949i | \(-0.582066\pi\) |
0.563801 | + | 0.825910i | \(0.309338\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −442.527 | − | 284.395i | −0.714906 | − | 0.459442i | 0.131955 | − | 0.991256i | \(-0.457874\pi\) |
−0.846862 | + | 0.531813i | \(0.821511\pi\) | |||||||
\(620\) | 200.089i | 0.322725i | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 540.917 | 0.869641 | ||||||||
\(623\) | −551.681 | + | 858.433i | −0.885524 | + | 1.37790i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −119.384 | − | 261.415i | −0.191014 | − | 0.418263i | ||||
\(626\) | 120.726 | − | 411.154i | 0.192852 | − | 0.656795i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −287.171 | + | 331.413i | −0.457278 | + | 0.527727i | ||||
\(629\) | −272.629 | − | 39.1981i | −0.433432 | − | 0.0623181i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 589.269 | + | 680.052i | 0.933865 | + | 1.07774i | 0.996817 | + | 0.0797211i | \(0.0254030\pi\) |
−0.0629522 | + | 0.998017i | \(0.520052\pi\) | |||||||
\(632\) | −6.06494 | − | 9.43723i | −0.00959642 | − | 0.0149323i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 104.708 | + | 120.840i | 0.165155 | + | 0.190599i | ||||
\(635\) | 487.664 | + | 1660.83i | 0.767975 | + | 2.61548i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 429.789 | − | 496.003i | 0.674708 | − | 0.778655i | ||||
\(638\) | −21.5245 | − | 9.82992i | −0.0337375 | − | 0.0154074i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −36.3210 | − | 79.5320i | −0.0567516 | − | 0.124269i | ||||
\(641\) | 36.0611 | − | 5.18480i | 0.0562575 | − | 0.00808861i | −0.114129 | − | 0.993466i | \(-0.536408\pi\) |
0.170386 | + | 0.985377i | \(0.445499\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −1071.17 | −1.66589 | −0.832945 | − | 0.553356i | \(-0.813347\pi\) | ||||
−0.832945 | + | 0.553356i | \(0.813347\pi\) | |||||||
\(644\) | −371.636 | − | 306.174i | −0.577074 | − | 0.475425i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −191.377 | − | 122.990i | −0.296249 | − | 0.190387i | ||||
\(647\) | 832.802 | − | 119.739i | 1.28718 | − | 0.185068i | 0.535463 | − | 0.844559i | \(-0.320137\pi\) |
0.751713 | + | 0.659491i | \(0.229228\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 18.4325 | + | 5.41228i | 0.0284014 | + | 0.00833941i | ||||
\(650\) | 483.983 | + | 221.028i | 0.744589 | + | 0.340042i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 79.0417 | − | 549.747i | 0.121230 | − | 0.843170i | ||||
\(653\) | 147.684 | + | 502.964i | 0.226162 | + | 0.770237i | 0.991893 | + | 0.127076i | \(0.0405591\pi\) |
−0.765731 | + | 0.643161i | \(0.777623\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 282.325 | − | 181.439i | 0.431030 | − | 0.277006i | ||||
\(656\) | −108.937 | − | 169.509i | −0.166062 | − | 0.258398i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −669.045 | + | 196.449i | −1.01679 | + | 0.298555i | ||||
\(659\) | −249.250 | − | 35.8367i | −0.378224 | − | 0.0543804i | −0.0494187 | − | 0.998778i | \(-0.515737\pi\) |
−0.328805 | + | 0.944398i | \(0.606646\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 314.017 | − | 687.602i | 0.475064 | − | 1.04024i | −0.508728 | − | 0.860927i | \(-0.669884\pi\) |
0.983791 | − | 0.179317i | \(-0.0573887\pi\) | |||||||
\(662\) | 98.7930 | − | 336.458i | 0.149234 | − | 0.508245i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −42.7217 | − | 297.136i | −0.0643399 | − | 0.447494i | ||||
\(665\) | −677.911 | + | 1054.85i | −1.01942 | + | 1.58624i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −653.000 | − | 716.767i | −0.979010 | − | 1.07461i | ||||
\(668\) | 437.350i | 0.654716i | ||||||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −146.837 | − | 1021.27i | −0.219159 | − | 1.52429i | ||||
\(671\) | 24.8833 | − | 11.3638i | 0.0370838 | − | 0.0169356i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −203.597 | + | 445.815i | −0.302522 | + | 0.662430i | −0.998449 | − | 0.0556828i | \(-0.982266\pi\) |
0.695927 | + | 0.718113i | \(0.254994\pi\) | |||||||
\(674\) | 626.979 | + | 543.280i | 0.930235 | + | 0.806054i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −99.0227 | + | 29.0757i | −0.146483 | + | 0.0430114i | ||||
\(677\) | 177.566 | − | 153.861i | 0.262283 | − | 0.227269i | −0.513785 | − | 0.857919i | \(-0.671757\pi\) |
0.776068 | + | 0.630650i | \(0.217212\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 1251.11 | − | 804.037i | 1.84257 | − | 1.18415i | ||||
\(680\) | −171.435 | + | 148.549i | −0.252110 | + | 0.218454i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −1.03411 | + | 7.19240i | −0.00151629 | + | 0.0105460i | ||||
\(683\) | 548.881 | + | 475.608i | 0.803632 | + | 0.696352i | 0.956448 | − | 0.291903i | \(-0.0942885\pi\) |
−0.152815 | + | 0.988255i | \(0.548834\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 1067.91 | + | 313.567i | 1.55899 | + | 0.457762i | ||||
\(686\) | 155.832 | − | 71.1662i | 0.227161 | − | 0.103741i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −61.4894 | − | 39.5168i | −0.0893741 | − | 0.0574372i | ||||
\(689\) | 578.601i | 0.839770i | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −508.308 | −0.735612 | −0.367806 | − | 0.929903i | \(-0.619891\pi\) | ||||
−0.367806 | + | 0.929903i | \(0.619891\pi\) | |||||||
\(692\) | 296.712 | − | 461.693i | 0.428774 | − | 0.667186i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 9.06388 | + | 19.8471i | 0.0130604 | + | 0.0285982i | ||||
\(695\) | −332.023 | + | 1130.77i | −0.477730 | + | 1.62700i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −342.341 | + | 395.083i | −0.491164 | + | 0.566834i | ||||
\(698\) | −181.068 | − | 26.0337i | −0.259410 | − | 0.0372975i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 476.045 | + | 549.385i | 0.680064 | + | 0.784836i | ||||
\(701\) | 133.697 | + | 208.037i | 0.190724 | + | 0.296772i | 0.923425 | − | 0.383778i | \(-0.125377\pi\) |
−0.732702 | + | 0.680550i | \(0.761741\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −269.402 | − | 310.907i | −0.383218 | − | 0.442257i | ||||
\(704\) | −0.894553 | − | 3.04657i | −0.00127067 | − | 0.00432751i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 27.3010 | − | 31.5070i | 0.0386699 | − | 0.0446274i | ||||
\(707\) | 607.142 | + | 277.272i | 0.858758 | + | 0.392182i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 309.539 | + | 677.795i | 0.436585 | + | 0.955987i | 0.992213 | + | 0.124556i | \(0.0397506\pi\) |
−0.555628 | + | 0.831431i | \(0.687522\pi\) | |||||||
\(710\) | −1183.84 | + | 170.211i | −1.66738 | + | 0.239734i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −275.723 | −0.387252 | ||||||||
\(713\) | −154.694 | + | 254.410i | −0.216962 | + | 0.356816i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 27.9581 | + | 17.9676i | 0.0391023 | + | 0.0251295i | ||||
\(716\) | 481.954 | − | 69.2945i | 0.673120 | − | 0.0967800i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 428.462 | + | 125.808i | 0.596743 | + | 0.175220i | ||||
\(719\) | 737.674 | + | 336.884i | 1.02597 | + | 0.468546i | 0.856040 | − | 0.516910i | \(-0.172918\pi\) |
0.169932 | + | 0.985456i | \(0.445645\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −282.897 | + | 1967.59i | −0.392368 | + | 2.72898i | ||||
\(722\) | 48.1057 | + | 163.833i | 0.0666285 | + | 0.226916i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 309.804 | − | 199.099i | 0.427906 | − | 0.274998i | ||||
\(725\) | 791.409 | + | 1231.46i | 1.09160 | + | 1.69856i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 175.447 | − | 51.5160i | 0.241331 | − | 0.0708610i | −0.158831 | − | 0.987306i | \(-0.550772\pi\) |
0.400161 | + | 0.916445i | \(0.368954\pi\) | |||||||
\(728\) | 317.529 | + | 45.6538i | 0.436167 | + | 0.0627113i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −68.6391 | + | 150.299i | −0.0940262 | + | 0.205889i | ||||
\(731\) | −53.4263 | + | 181.953i | −0.0730866 | + | 0.248910i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 31.3162 | + | 217.809i | 0.0427233 | + | 0.297147i | 0.999969 | + | 0.00787097i | \(0.00250543\pi\) |
−0.957246 | + | 0.289276i | \(0.906585\pi\) | |||||||
\(734\) | 360.711 | − | 561.277i | 0.491431 | − | 0.764682i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 15.3067 | − | 129.204i | 0.0207971 | − | 0.175549i | ||||
\(737\) | − | 37.4695i | − | 0.0508405i | ||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −45.4556 | − | 316.150i | −0.0615095 | − | 0.427808i | −0.997187 | − | 0.0749522i | \(-0.976120\pi\) |
0.935678 | − | 0.352856i | \(-0.114790\pi\) | |||||||
\(740\) | −373.144 | + | 170.409i | −0.504249 | + | 0.230283i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −328.395 | + | 719.084i | −0.442581 | + | 0.969116i | ||||
\(743\) | 237.966 | + | 206.199i | 0.320277 | + | 0.277522i | 0.800129 | − | 0.599828i | \(-0.204764\pi\) |
−0.479852 | + | 0.877350i | \(0.659310\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −995.619 | + | 292.340i | −1.33640 | + | 0.392403i | ||||
\(746\) | 363.914 | − | 315.333i | 0.487820 | − | 0.422698i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −6.93012 | + | 4.45371i | −0.00926486 | + | 0.00595416i | ||||
\(749\) | 64.3961 | − | 55.7995i | 0.0859761 | − | 0.0744987i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −36.9006 | + | 256.650i | −0.0491353 | + | 0.341744i | 0.950393 | + | 0.311050i | \(0.100681\pi\) |
−0.999529 | + | 0.0306937i | \(0.990228\pi\) | |||||||
\(752\) | −142.392 | − | 123.383i | −0.189351 | − | 0.164074i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 619.815 | + | 181.994i | 0.822035 | + | 0.241371i | ||||
\(755\) | 414.084 | − | 189.106i | 0.548455 | − | 0.250471i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −804.231 | − | 516.848i | −1.06239 | − | 0.682758i | −0.111967 | − | 0.993712i | \(-0.535715\pi\) |
−0.950425 | + | 0.310954i | \(0.899351\pi\) | |||||||
\(758\) | − | 253.917i | − | 0.334983i | ||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −338.812 | −0.445805 | ||||||||
\(761\) | 571.286 | − | 888.939i | 0.750705 | − | 1.16812i | −0.230108 | − | 0.973165i | \(-0.573908\pi\) |
0.980812 | − | 0.194954i | \(-0.0624558\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −837.693 | − | 1834.29i | −1.09789 | − | 2.40405i | ||||
\(764\) | −79.2980 | + | 270.064i | −0.103793 | + | 0.353487i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 0.598239 | − | 0.690404i | 0.000780990 | − | 0.000901311i | ||||
\(767\) | −519.101 | − | 74.6355i | −0.676794 | − | 0.0973083i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −790.021 | − | 911.733i | −1.02734 | − | 1.18561i | −0.982433 | − | 0.186617i | \(-0.940248\pi\) |
−0.0449032 | − | 0.998991i | \(-0.514298\pi\) | |||||||
\(770\) | 24.5485 | + | 38.1982i | 0.0318811 | + | 0.0496080i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 497.165 | + | 573.759i | 0.643997 | + | 0.743212i | ||||
\(773\) | −274.649 | − | 935.369i | −0.355303 | − | 1.21005i | −0.922347 | − | 0.386363i | \(-0.873731\pi\) |
0.567044 | − | 0.823687i | \(-0.308087\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 294.368 | − | 339.718i | 0.379829 | − | 0.438346i | ||||
\(776\) | 365.533 | + | 166.933i | 0.471048 | + | 0.215120i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 61.4969 | + | 134.659i | 0.0790449 | + | 0.173084i | ||||
\(779\) | −772.868 | + | 111.122i | −0.992128 | + | 0.142646i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −43.4340 | −0.0556133 | ||||||||
\(782\) | −332.823 | + | 56.3367i | −0.425605 | + | 0.0720418i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 203.827 | + | 130.992i | 0.259984 | + | 0.167081i | ||||
\(785\) | 1677.22 | − | 241.147i | 2.13658 | − | 0.307194i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −894.448 | − | 262.634i | −1.13653 | − | 0.333715i | −0.341258 | − | 0.939970i | \(-0.610853\pi\) |
−0.795271 | + | 0.606254i | \(0.792671\pi\) | |||||||
\(788\) | −336.603 | − | 153.721i | −0.427161 | − | 0.195078i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −6.16891 | + | 42.9057i | −0.00780875 | + | 0.0543111i | ||||
\(791\) | −517.867 | − | 1763.69i | −0.654699 | − | 2.22970i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −628.233 | + | 403.741i | −0.792223 | + | 0.509131i | ||||
\(794\) | −156.284 | − | 243.182i | −0.196831 | − | 0.306275i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 256.725 | − | 75.3813i | 0.322519 | − | 0.0947001i | ||||
\(797\) | −1057.94 | − | 152.108i | −1.32740 | − | 0.190851i | −0.558117 | − | 0.829762i | \(-0.688476\pi\) |
−0.769280 | + | 0.638911i | \(0.779385\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −203.065 | + | 444.650i | −0.254149 | + | 0.556508i | ||||
\(800\) | −55.3389 | + | 188.467i | −0.0691736 | + | 0.235584i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −99.1712 | − | 689.751i | −0.123655 | − | 0.860039i | ||||
\(803\) | −3.24408 | + | 5.04788i | −0.00403995 | + | 0.00628628i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 310.523 | + | 1834.49i | 0.385743 | + | 2.27887i | ||||
\(806\) | − | 198.367i | − | 0.246113i | ||||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 25.6666 | + | 178.515i | 0.0317656 | + | 0.220935i | ||||
\(809\) | −27.6065 | + | 12.6075i | −0.0341242 | + | 0.0155840i | −0.432404 | − | 0.901680i | \(-0.642335\pi\) |
0.398280 | + | 0.917264i | \(0.369607\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 116.016 | − | 254.039i | 0.143053 | − | 0.313242i | −0.824521 | − | 0.565832i | \(-0.808555\pi\) |
0.967573 | + | 0.252590i | \(0.0812824\pi\) | |||||||
\(812\) | 667.010 | + | 577.968i | 0.821441 | + | 0.711783i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −14.2937 | + | 4.19702i | −0.0175599 | + | 0.00515604i | ||||
\(815\) | −1621.90 | + | 1405.39i | −1.99007 | + | 1.72440i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −238.277 | + | 153.131i | −0.291649 | + | 0.187431i | ||||
\(818\) | −537.131 | + | 465.426i | −0.656639 | + | 0.568981i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −110.804 | + | 770.662i | −0.135127 | + | 0.939831i | ||||
\(821\) | −502.507 | − | 435.425i | −0.612067 | − | 0.530359i | 0.292734 | − | 0.956194i | \(-0.405435\pi\) |
−0.904801 | + | 0.425835i | \(0.859981\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 292.416 | + | 85.8612i | 0.355305 | + | 0.104327i | 0.454514 | − | 0.890740i | \(-0.349813\pi\) |
−0.0992086 | + | 0.995067i | \(0.531631\pi\) | |||||||
\(824\) | −488.583 | + | 223.128i | −0.592940 | + | 0.270787i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −602.777 | − | 387.381i | −0.729754 | − | 0.468985i | ||||
\(827\) | − | 18.4010i | − | 0.0222503i | −0.999938 | − | 0.0111251i | \(-0.996459\pi\) | ||
0.999938 | − | 0.0111251i | \(-0.00354132\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −407.029 | −0.490988 | −0.245494 | − | 0.969398i | \(-0.578950\pi\) | ||||
−0.245494 | + | 0.969398i | \(0.578950\pi\) | |||||||
\(830\) | −627.117 | + | 975.813i | −0.755562 | + | 1.17568i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 36.0084 | + | 78.8473i | 0.0432793 | + | 0.0947684i | ||||
\(833\) | 177.099 | − | 603.145i | 0.212604 | − | 0.724064i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 1106.67 | − | 1277.17i | 1.32536 | − | 1.52954i | ||||
\(836\) | −12.1789 | − | 1.75106i | −0.0145681 | − | 0.00209457i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 423.717 | + | 488.996i | 0.505629 | + | 0.583527i | ||||
\(839\) | 532.244 | + | 828.188i | 0.634379 | + | 0.987113i | 0.998445 | + | 0.0557401i | \(0.0177518\pi\) |
−0.364066 | + | 0.931373i | \(0.618612\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 613.112 | + | 707.569i | 0.729027 | + | 0.841342i | ||||
\(842\) | −82.5426 | − | 281.114i | −0.0980316 | − | 0.333865i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −232.149 | + | 267.915i | −0.275059 | + | 0.317434i | ||||
\(845\) | 362.744 | + | 165.659i | 0.429282 | + | 0.196047i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −525.476 | − | 1150.63i | −0.620396 | − | 1.35848i | ||||
\(848\) | −211.429 | + | 30.3989i | −0.249327 | + | 0.0358478i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 509.610 | 0.599541 | ||||||||
\(851\) | −606.193 | − | 71.8152i | −0.712331 | − | 0.0843892i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −317.621 | − | 204.122i | −0.372357 | − | 0.239299i | 0.341056 | − | 0.940043i | \(-0.389215\pi\) |
−0.713413 | + | 0.700743i | \(0.752852\pi\) | |||||||
\(854\) | −1009.92 | + | 145.204i | −1.18257 | + | 0.170028i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 22.0911 | + | 6.48653i | 0.0258074 | + | 0.00757773i | ||||
\(857\) | 826.742 | + | 377.560i | 0.964693 | + | 0.440560i | 0.834548 | − | 0.550935i | \(-0.185729\pi\) |
0.130144 | + | 0.991495i | \(0.458456\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −69.5473 | + | 483.712i | −0.0809631 | + | 0.563110i | 0.908451 | + | 0.417991i | \(0.137266\pi\) |
−0.989414 | + | 0.145119i | \(0.953643\pi\) | |||||||
\(860\) | 79.5704 | + | 270.992i | 0.0925237 | + | 0.315107i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −813.660 | + | 522.908i | −0.943921 | + | 0.606621i | ||||
\(863\) | 593.400 | + | 923.348i | 0.687601 | + | 1.06993i | 0.993047 | + | 0.117719i | \(0.0375581\pi\) |
−0.305446 | + | 0.952209i | \(0.598806\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −2034.74 | + | 597.453i | −2.35230 | + | 0.690698i | ||||
\(866\) | 1090.04 | + | 156.724i | 1.25871 | + | 0.180975i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 112.586 | − | 246.530i | 0.129708 | − | 0.284020i | ||||
\(869\) | −0.443495 | + | 1.51040i | −0.000510351 | + | 0.00173809i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 145.573 | + | 1012.48i | 0.167133 | + | 1.16243i | ||||
\(872\) | 294.582 | − | 458.378i | 0.337823 | − | 0.525663i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −430.793 | − | 261.944i | −0.492898 | − | 0.299707i | ||||
\(875\) | − | 786.548i | − | 0.898912i | ||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −30.0576 | − | 209.055i | −0.0342732 | − | 0.238375i | 0.965483 | − | 0.260467i | \(-0.0838765\pi\) |
−0.999756 | + | 0.0220917i | \(0.992967\pi\) | |||||||
\(878\) | −190.034 | + | 86.7857i | −0.216440 | + | 0.0988448i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −5.09674 | + | 11.1603i | −0.00579175 | + | 0.0126822i | ||||
\(881\) | −698.875 | − | 605.579i | −0.793275 | − | 0.687377i | 0.160786 | − | 0.986989i | \(-0.448597\pi\) |
−0.954061 | + | 0.299612i | \(0.903143\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 667.168 | − | 195.898i | 0.755569 | − | 0.221855i | 0.118809 | − | 0.992917i | \(-0.462092\pi\) |
0.636760 | + | 0.771062i | \(0.280274\pi\) | |||||||
\(884\) | 169.959 | − | 147.270i | 0.192261 | − | 0.166595i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 680.131 | − | 437.094i | 0.767642 | − | 0.493334i | ||||
\(887\) | 1282.20 | − | 1111.04i | 1.44555 | − | 1.25258i | 0.531453 | − | 0.847088i | \(-0.321646\pi\) |
0.914099 | − | 0.405491i | \(-0.132899\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 333.667 | − | 2320.71i | 0.375329 | − | 2.61047i | ||||
\(890\) | 805.179 | + | 697.692i | 0.904696 | + | 0.783923i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 288.562 | + | 84.7295i | 0.323500 | + | 0.0949882i | ||||
\(893\) | −664.134 | + | 303.300i | −0.743711 | + | 0.339642i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −1582.77 | − | 1017.18i | −1.76845 | − | 1.13652i | ||||
\(896\) | 118.428i | 0.132175i | ||||||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −107.995 | −0.120261 | ||||||||
\(899\) | 295.057 | − | 459.117i | 0.328206 | − | 0.510698i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 230.216 | + | 504.102i | 0.255511 | + | 0.559492i | ||||
\(902\) | −7.96594 | + | 27.1295i | −0.00883142 | + | 0.0300770i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 325.255 | − | 375.364i | 0.359795 | − | 0.415226i | ||||
\(905\) | −1408.50 | − | 202.512i | −1.55636 | − | 0.223770i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 1069.73 | + | 1234.53i | 1.17941 | + | 1.36112i | 0.918338 | + | 0.395797i | \(0.129532\pi\) |
0.261075 | + | 0.965319i | \(0.415923\pi\) | |||||||
\(908\) | −31.5799 | − | 49.1393i | −0.0347796 | − | 0.0541181i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −811.740 | − | 936.798i | −0.892022 | − | 1.02945i | ||||
\(911\) | 103.801 | + | 353.514i | 0.113942 | + | 0.388051i | 0.996642 | − | 0.0818867i | \(-0.0260946\pi\) |
−0.882700 | + | 0.469938i | \(0.844276\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −27.5855 | + | 31.8354i | −0.0302142 | + | 0.0348690i | ||||
\(914\) | −510.861 | − | 233.302i | −0.558929 | − | 0.255254i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −93.6374 | − | 205.037i | −0.102224 | − | 0.223840i | ||||
\(917\) | −449.944 | + | 64.6922i | −0.490670 | + | 0.0705477i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −636.126 | −0.692193 | −0.346097 | − | 0.938199i | \(-0.612493\pi\) | ||||
−0.346097 | + | 0.938199i | \(0.612493\pi\) | |||||||
\(920\) | −371.638 | + | 338.575i | −0.403954 | + | 0.368017i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 812.055 | + | 521.876i | 0.880754 | + | 0.566026i | ||||
\(923\) | 1173.65 | − | 168.746i | 1.27156 | − | 0.182823i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 884.239 | + | 259.636i | 0.955934 | + | 0.280688i | ||||
\(926\) | −386.086 | − | 176.320i | −0.416940 | − | 0.190410i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −33.9390 | + | 236.051i | −0.0365722 | + | 0.254365i | ||||
\(929\) | −87.9320 | − | 299.469i | −0.0946523 | − | 0.322356i | 0.898532 | − | 0.438907i | \(-0.144634\pi\) |
−0.993185 | + | 0.116551i | \(0.962816\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 789.850 | − | 507.606i | 0.848389 | − | 0.545226i | ||||
\(932\) | 357.414 | + | 556.147i | 0.383491 | + | 0.596724i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 560.672 | − | 164.628i | 0.600291 | − | 0.176261i | ||||
\(935\) | 31.5073 | + | 4.53007i | 0.0336977 | + | 0.00484499i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −704.801 | + | 1543.30i | −0.752189 | + | 1.64706i | 0.0102036 | + | 0.999948i | \(0.496752\pi\) |
−0.762392 | + | 0.647115i | \(0.775975\pi\) | |||||||
\(938\) | −393.733 | + | 1340.93i | −0.419758 | + | 1.42956i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 103.609 | + | 720.619i | 0.110223 | + | 0.766616i | ||||
\(941\) | 371.886 | − | 578.666i | 0.395203 | − | 0.614948i | −0.585448 | − | 0.810710i | \(-0.699082\pi\) |
0.980652 | + | 0.195762i | \(0.0627179\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −736.704 | + | 894.216i | −0.781234 | + | 0.948267i | ||||
\(944\) | − | 193.608i | − | 0.205094i | ||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 1.45968 | + | 10.1523i | 0.00154300 | + | 0.0107318i | ||||
\(947\) | 1539.25 | − | 702.953i | 1.62540 | − | 0.742295i | 0.626100 | − | 0.779743i | \(-0.284650\pi\) |
0.999299 | + | 0.0374484i | \(0.0119230\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 68.0482 | − | 149.005i | 0.0717052 | − | 0.157012i | ||||
\(950\) | 575.246 | + | 498.453i | 0.605522 | + | 0.524688i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 294.810 | − | 86.5640i | 0.309674 | − | 0.0909286i | ||||
\(953\) | −1147.83 | + | 994.604i | −1.20444 | + | 1.04366i | −0.206572 | + | 0.978431i | \(0.566231\pi\) |
−0.997871 | + | 0.0652245i | \(0.979224\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 914.941 | − | 587.997i | 0.958053 | − | 0.615703i | ||||
\(956\) | −135.901 | + | 117.759i | −0.142156 | + | 0.123178i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −84.5986 | + | 588.396i | −0.0883075 | + | 0.614192i | ||||
\(959\) | −1139.33 | − | 987.238i | −1.18804 | − | 1.02945i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 761.272 | + | 223.530i | 0.792167 | + | 0.232601i | ||||
\(962\) | 369.932 | − | 168.942i | 0.384545 | − | 0.175616i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −238.085 | − | 153.008i | −0.246976 | − | 0.158722i | ||||
\(965\) | − | 2933.55i | − | 3.03994i | ||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 1157.48 | 1.19698 | 0.598492 | − | 0.801129i | \(-0.295767\pi\) | ||||
0.598492 | + | 0.801129i | \(0.295767\pi\) | |||||||
\(968\) | 184.788 | − | 287.536i | 0.190897 | − | 0.297041i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −645.037 | − | 1412.43i | −0.664986 | − | 1.45612i | ||||
\(971\) | 106.471 | − | 362.607i | 0.109651 | − | 0.373437i | −0.886324 | − | 0.463065i | \(-0.846750\pi\) |
0.995975 | + | 0.0896280i | \(0.0285678\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 1045.34 | − | 1206.39i | 1.07435 | − | 1.23987i | ||||
\(974\) | −751.134 | − | 107.997i | −0.771185 | − | 0.110880i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −180.539 | − | 208.353i | −0.184979 | − | 0.213477i | ||||
\(977\) | −70.5157 | − | 109.725i | −0.0721757 | − | 0.112308i | 0.803289 | − | 0.595589i | \(-0.203081\pi\) |
−0.875465 | + | 0.483281i | \(0.839445\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 25.3371 | + | 29.2405i | 0.0258806 | + | 0.0298678i | ||||
\(980\) | −263.763 | − | 898.293i | −0.269146 | − | 0.916626i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −325.203 | + | 375.304i | −0.331164 | + | 0.382184i | ||||
\(983\) | −30.6544 | − | 13.9994i | −0.0311845 | − | 0.0142415i | 0.399762 | − | 0.916619i | \(-0.369093\pi\) |
−0.430946 | + | 0.902378i | \(0.641820\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 593.985 | + | 1300.65i | 0.603030 | + | 1.32045i | ||||
\(986\) | 612.421 | − | 88.0529i | 0.621117 | − | 0.0893032i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 335.895 | 0.339975 | ||||||||
\(989\) | −108.338 | + | 406.079i | −0.109543 | + | 0.410595i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −245.702 | − | 157.903i | −0.247934 | − | 0.159337i | 0.410772 | − | 0.911738i | \(-0.365259\pi\) |
−0.658705 | + | 0.752401i | \(0.728896\pi\) | |||||||
\(992\) | 72.4861 | − | 10.4219i | 0.0730707 | − | 0.0105060i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 1554.38 | + | 456.409i | 1.56377 | + | 0.459164i | ||||
\(995\) | −940.445 | − | 429.487i | −0.945171 | − | 0.431645i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −97.2764 | + | 676.572i | −0.0975691 | + | 0.678608i | 0.881065 | + | 0.472996i | \(0.156827\pi\) |
−0.978634 | + | 0.205612i | \(0.934082\pi\) | |||||||
\(998\) | 75.3745 | + | 256.702i | 0.0755256 | + | 0.257217i | ||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 414.3.k.b.71.1 | yes | 80 | |
3.2 | odd | 2 | inner | 414.3.k.b.71.8 | yes | 80 | |
23.12 | even | 11 | inner | 414.3.k.b.35.8 | yes | 80 | |
69.35 | odd | 22 | inner | 414.3.k.b.35.1 | ✓ | 80 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
414.3.k.b.35.1 | ✓ | 80 | 69.35 | odd | 22 | inner | |
414.3.k.b.35.8 | yes | 80 | 23.12 | even | 11 | inner | |
414.3.k.b.71.1 | yes | 80 | 1.1 | even | 1 | trivial | |
414.3.k.b.71.8 | yes | 80 | 3.2 | odd | 2 | inner |