Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [731,2,Mod(3,731)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(731, base_ring=CyclotomicField(336))
chi = DirichletCharacter(H, H._module([21, 8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("731.3");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 731 = 17 \cdot 43 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 731.bm (of order \(336\), degree \(96\), 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: | \(5.83706438776\) |
Analytic rank: | \(0\) |
Dimension: | \(6144\) |
Relative dimension: | \(64\) over \(\Q(\zeta_{336})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{336}]$ |
Embedding invariants
Embedding label | 3.17 | ||
Character | \(\chi\) | \(=\) | 731.3 |
Dual form | 731.2.bm.a.244.17 |
$q$-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 \(\left(\mathbb{Z}/731\mathbb{Z}\right)^\times\).
\(n\) | \(173\) | \(562\) |
\(\chi(n)\) | \(e\left(\frac{1}{16}\right)\) | \(e\left(\frac{1}{42}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.0844139 | + | 1.50313i | −0.0596896 | + | 1.06287i | 0.815396 | + | 0.578904i | \(0.196519\pi\) |
−0.875085 | + | 0.483968i | \(0.839195\pi\) | |||||||
\(3\) | −2.55867 | − | 0.711301i | −1.47725 | − | 0.410670i | −0.566651 | − | 0.823958i | \(-0.691761\pi\) |
−0.910600 | + | 0.413288i | \(0.864380\pi\) | |||||||
\(4\) | −0.264845 | − | 0.0298409i | −0.132423 | − | 0.0149204i | ||||
\(5\) | −1.66292 | + | 0.495964i | −0.743681 | + | 0.221802i | −0.635255 | − | 0.772303i | \(-0.719105\pi\) |
−0.108426 | + | 0.994105i | \(0.534581\pi\) | |||||||
\(6\) | 1.28516 | − | 3.78597i | 0.524666 | − | 1.54562i | ||||
\(7\) | 0.256638 | − | 3.91553i | 0.0969999 | − | 1.47993i | −0.620957 | − | 0.783845i | \(-0.713256\pi\) |
0.717957 | − | 0.696088i | \(-0.245078\pi\) | |||||||
\(8\) | −0.437149 | + | 2.57287i | −0.154555 | + | 0.909648i | ||||
\(9\) | 3.47129 | + | 2.09166i | 1.15710 | + | 0.697218i | ||||
\(10\) | −0.605124 | − | 2.54145i | −0.191357 | − | 0.803677i | ||||
\(11\) | −0.00281371 | − | 0.00145360i | −0.000848366 | − | 0.000438276i | 0.458558 | − | 0.888665i | \(-0.348366\pi\) |
−0.459406 | + | 0.888226i | \(0.651938\pi\) | |||||||
\(12\) | 0.656426 | + | 0.264738i | 0.189494 | + | 0.0764232i | ||||
\(13\) | 4.11963 | + | 0.154146i | 1.14258 | + | 0.0427523i | 0.601968 | − | 0.798520i | \(-0.294383\pi\) |
0.540612 | + | 0.841272i | \(0.318193\pi\) | |||||||
\(14\) | 5.86389 | + | 0.716285i | 1.56719 | + | 0.191435i | ||||
\(15\) | 4.60765 | − | 0.0861729i | 1.18969 | − | 0.0222498i | ||||
\(16\) | −4.35014 | − | 0.992890i | −1.08753 | − | 0.248223i | ||||
\(17\) | 1.14514 | + | 3.96089i | 0.277737 | + | 0.960657i | ||||
\(18\) | −3.43705 | + | 5.04123i | −0.810121 | + | 1.18823i | ||||
\(19\) | −0.188347 | − | 0.312579i | −0.0432098 | − | 0.0717106i | 0.834169 | − | 0.551509i | \(-0.185948\pi\) |
−0.877379 | + | 0.479799i | \(0.840710\pi\) | |||||||
\(20\) | 0.455216 | − | 0.0817306i | 0.101789 | − | 0.0182755i | ||||
\(21\) | −3.44178 | + | 9.83603i | −0.751057 | + | 2.14640i | ||||
\(22\) | 0.00242246 | − | 0.00410667i | 0.000516471 | − | 0.000875545i | ||||
\(23\) | −3.12699 | − | 4.87479i | −0.652022 | − | 1.01646i | −0.996966 | − | 0.0778411i | \(-0.975197\pi\) |
0.344944 | − | 0.938623i | \(-0.387898\pi\) | |||||||
\(24\) | 2.94861 | − | 6.27220i | 0.601882 | − | 1.28031i | ||||
\(25\) | −1.66381 | + | 1.08936i | −0.332763 | + | 0.217872i | ||||
\(26\) | −0.579455 | + | 6.17932i | −0.113640 | + | 1.21187i | ||||
\(27\) | −1.92072 | − | 2.03161i | −0.369643 | − | 0.390984i | ||||
\(28\) | −0.184812 | + | 1.02935i | −0.0349262 | + | 0.194529i | ||||
\(29\) | −6.79619 | + | 5.31659i | −1.26202 | + | 0.987266i | −0.262269 | + | 0.964995i | \(0.584471\pi\) |
−0.999752 | + | 0.0222717i | \(0.992910\pi\) | |||||||
\(30\) | −0.259421 | + | 6.93317i | −0.0473635 | + | 1.26582i | ||||
\(31\) | 1.72307 | + | 4.05228i | 0.309473 | + | 0.727811i | 0.999990 | + | 0.00449468i | \(0.00143071\pi\) |
−0.690517 | + | 0.723316i | \(0.742617\pi\) | |||||||
\(32\) | 0.414712 | − | 1.43950i | 0.0733114 | − | 0.254470i | ||||
\(33\) | 0.00616543 | + | 0.00572068i | 0.00107326 | + | 0.000995843i | ||||
\(34\) | −6.05039 | + | 1.38694i | −1.03763 | + | 0.237858i | ||||
\(35\) | 1.51520 | + | 6.63851i | 0.256115 | + | 1.12211i | ||||
\(36\) | −0.856937 | − | 0.657551i | −0.142823 | − | 0.109592i | ||||
\(37\) | 0.0470284 | + | 0.0412428i | 0.00773141 | + | 0.00678027i | 0.663203 | − | 0.748440i | \(-0.269197\pi\) |
−0.655471 | + | 0.755220i | \(0.727530\pi\) | |||||||
\(38\) | 0.485746 | − | 0.256724i | 0.0787984 | − | 0.0416462i | ||||
\(39\) | −10.4311 | − | 3.32471i | −1.67032 | − | 0.532379i | ||||
\(40\) | −0.549109 | − | 4.49530i | −0.0868217 | − | 0.710769i | ||||
\(41\) | −6.67869 | + | 3.93966i | −1.04304 | + | 0.615272i | −0.925871 | − | 0.377841i | \(-0.876667\pi\) |
−0.117166 | + | 0.993112i | \(0.537381\pi\) | |||||||
\(42\) | −14.4943 | − | 6.00373i | −2.23652 | − | 0.926395i | ||||
\(43\) | 6.55718 | − | 0.0586692i | 0.999960 | − | 0.00894697i | ||||
\(44\) | 0.000701821 | 0 | 0.000468942i | 0.000105804 | 0 | 7.06957e-5i | ||||
\(45\) | −6.80986 | − | 1.75662i | −1.01515 | − | 0.261862i | ||||
\(46\) | 7.59140 | − | 4.28876i | 1.11929 | − | 0.632344i | ||||
\(47\) | −1.05301 | + | 9.34570i | −0.153597 | + | 1.36321i | 0.646305 | + | 0.763080i | \(0.276314\pi\) |
−0.799902 | + | 0.600131i | \(0.795115\pi\) | |||||||
\(48\) | 10.4243 | + | 5.63474i | 1.50462 | + | 0.813304i | ||||
\(49\) | −8.32543 | − | 1.09606i | −1.18935 | − | 0.156581i | ||||
\(50\) | −1.49700 | − | 2.59288i | −0.211708 | − | 0.366689i | ||||
\(51\) | −0.112656 | − | 10.9492i | −0.0157750 | − | 1.53319i | ||||
\(52\) | −1.08646 | − | 0.163758i | −0.150665 | − | 0.0227092i | ||||
\(53\) | 4.26525 | + | 1.58260i | 0.585877 | + | 0.217387i | 0.623393 | − | 0.781909i | \(-0.285754\pi\) |
−0.0375155 | + | 0.999296i | \(0.511944\pi\) | |||||||
\(54\) | 3.21591 | − | 2.71559i | 0.437630 | − | 0.369545i | ||||
\(55\) | 0.00539991 | + | 0.00102172i | 0.000728124 | + | 0.000137769i | ||||
\(56\) | 9.96199 | + | 2.37197i | 1.33123 | + | 0.316968i | ||||
\(57\) | 0.259581 | + | 0.933760i | 0.0343824 | + | 0.123680i | ||||
\(58\) | −7.41783 | − | 10.6643i | −0.974009 | − | 1.40030i | ||||
\(59\) | −0.530590 | − | 0.376474i | −0.0690770 | − | 0.0490127i | 0.543614 | − | 0.839336i | \(-0.317056\pi\) |
−0.612691 | + | 0.790323i | \(0.709913\pi\) | |||||||
\(60\) | −1.22289 | − | 0.114674i | −0.157874 | − | 0.0148043i | ||||
\(61\) | −4.39325 | + | 1.77180i | −0.562498 | + | 0.226856i | −0.637664 | − | 0.770315i | \(-0.720099\pi\) |
0.0751656 | + | 0.997171i | \(0.476051\pi\) | |||||||
\(62\) | −6.23655 | + | 2.24793i | −0.792042 | + | 0.285487i | ||||
\(63\) | 9.08081 | − | 13.0552i | 1.14407 | − | 1.64479i | ||||
\(64\) | −6.29449 | − | 2.20254i | −0.786811 | − | 0.275317i | ||||
\(65\) | −6.92707 | + | 1.78686i | −0.859197 | + | 0.221632i | ||||
\(66\) | −0.00911937 | + | 0.00878453i | −0.00112252 | + | 0.00108130i | ||||
\(67\) | 0.650418 | + | 4.31524i | 0.0794612 | + | 0.527190i | 0.992780 | + | 0.119946i | \(0.0382722\pi\) |
−0.913319 | + | 0.407244i | \(0.866490\pi\) | |||||||
\(68\) | −0.185088 | − | 1.08319i | −0.0224453 | − | 0.131357i | ||||
\(69\) | 4.53350 | + | 14.6972i | 0.545769 | + | 1.76934i | ||||
\(70\) | −10.1064 | + | 1.71715i | −1.20795 | + | 0.205239i | ||||
\(71\) | −4.70939 | − | 3.02089i | −0.558902 | − | 0.358514i | 0.229849 | − | 0.973226i | \(-0.426177\pi\) |
−0.788751 | + | 0.614713i | \(0.789272\pi\) | |||||||
\(72\) | −6.89904 | + | 8.01683i | −0.813059 | + | 0.944792i | ||||
\(73\) | −0.416965 | + | 1.75120i | −0.0488021 | + | 0.204963i | −0.991793 | − | 0.127856i | \(-0.959190\pi\) |
0.942991 | + | 0.332819i | \(0.108000\pi\) | |||||||
\(74\) | −0.0659630 | + | 0.0672082i | −0.00766804 | + | 0.00781279i | ||||
\(75\) | 5.03202 | − | 1.60385i | 0.581048 | − | 0.185197i | ||||
\(76\) | 0.0405552 | + | 0.0884055i | 0.00465200 | + | 0.0101408i | ||||
\(77\) | −0.00641372 | + | 0.0106441i | −0.000730911 | + | 0.00121301i | ||||
\(78\) | 5.87799 | − | 15.3987i | 0.665552 | − | 1.74356i | ||||
\(79\) | −5.46601 | + | 4.79356i | −0.614974 | + | 0.539318i | −0.909169 | − | 0.416427i | \(-0.863282\pi\) |
0.294194 | + | 0.955746i | \(0.404949\pi\) | |||||||
\(80\) | 7.72637 | − | 0.506413i | 0.863834 | − | 0.0566187i | ||||
\(81\) | −2.21177 | − | 4.18488i | −0.245753 | − | 0.464987i | ||||
\(82\) | −5.35804 | − | 10.3715i | −0.591697 | − | 1.14534i | ||||
\(83\) | −3.17307 | + | 1.04413i | −0.348289 | + | 0.114608i | −0.481419 | − | 0.876491i | \(-0.659878\pi\) |
0.133129 | + | 0.991099i | \(0.457497\pi\) | |||||||
\(84\) | 1.20505 | − | 2.50232i | 0.131482 | − | 0.273025i | ||||
\(85\) | −3.86874 | − | 6.01870i | −0.419623 | − | 0.652819i | ||||
\(86\) | −0.465329 | + | 9.86123i | −0.0501778 | + | 1.06336i | ||||
\(87\) | 21.1709 | − | 8.76929i | 2.26976 | − | 0.940166i | ||||
\(88\) | 0.00496994 | − | 0.00660389i | 0.000529797 | − | 0.000703977i | ||||
\(89\) | −7.46995 | + | 6.42841i | −0.791813 | + | 0.681410i | −0.952143 | − | 0.305653i | \(-0.901125\pi\) |
0.160330 | + | 0.987063i | \(0.448744\pi\) | |||||||
\(90\) | 3.21528 | − | 10.0878i | 0.338920 | − | 1.06335i | ||||
\(91\) | 1.66082 | − | 16.0910i | 0.174101 | − | 1.68679i | ||||
\(92\) | 0.682699 | + | 1.38438i | 0.0711763 | + | 0.144331i | ||||
\(93\) | −1.52639 | − | 11.5941i | −0.158279 | − | 1.20225i | ||||
\(94\) | −13.9589 | − | 2.37171i | −1.43975 | − | 0.244624i | ||||
\(95\) | 0.468235 | + | 0.426381i | 0.0480399 | + | 0.0437458i | ||||
\(96\) | −2.08503 | + | 3.38822i | −0.212802 | + | 0.345809i | ||||
\(97\) | −1.08589 | + | 12.8738i | −0.110256 | + | 1.30714i | 0.697057 | + | 0.717015i | \(0.254492\pi\) |
−0.807313 | + | 0.590123i | \(0.799079\pi\) | |||||||
\(98\) | 2.35031 | − | 12.4217i | 0.237417 | − | 1.25478i | ||||
\(99\) | −0.00672679 | − | 0.0109312i | −0.000676067 | − | 0.00109862i | ||||
\(100\) | 0.473160 | − | 0.238862i | 0.0473160 | − | 0.0238862i | ||||
\(101\) | 18.2423 | + | 7.15957i | 1.81518 | + | 0.712404i | 0.988792 | + | 0.149298i | \(0.0477012\pi\) |
0.826384 | + | 0.563107i | \(0.190394\pi\) | |||||||
\(102\) | 16.4675 | + | 0.754925i | 1.63053 | + | 0.0747487i | ||||
\(103\) | −2.99998 | + | 0.925372i | −0.295597 | + | 0.0911796i | −0.439007 | − | 0.898484i | \(-0.644670\pi\) |
0.143410 | + | 0.989663i | \(0.454193\pi\) | |||||||
\(104\) | −2.19749 | + | 10.5319i | −0.215482 | + | 1.03274i | ||||
\(105\) | 0.845084 | − | 18.0635i | 0.0824717 | − | 1.76282i | ||||
\(106\) | −2.73890 | + | 6.27762i | −0.266025 | + | 0.609737i | ||||
\(107\) | 6.06238 | + | 3.57611i | 0.586073 | + | 0.345715i | 0.770803 | − | 0.637074i | \(-0.219855\pi\) |
−0.184730 | + | 0.982789i | \(0.559141\pi\) | |||||||
\(108\) | 0.448068 | + | 0.595378i | 0.0431154 | + | 0.0572903i | ||||
\(109\) | 20.1355 | + | 4.39815i | 1.92863 | + | 0.421266i | 0.998545 | + | 0.0539331i | \(0.0171758\pi\) |
0.930090 | + | 0.367333i | \(0.119729\pi\) | |||||||
\(110\) | −0.00199160 | + | 0.00803052i | −0.000189892 | + | 0.000765680i | ||||
\(111\) | −0.0909942 | − | 0.138978i | −0.00863679 | − | 0.0131912i | ||||
\(112\) | −5.00410 | + | 16.7783i | −0.472843 | + | 1.58540i | ||||
\(113\) | −0.101955 | + | 3.63382i | −0.00959113 | + | 0.341841i | 0.980090 | + | 0.198554i | \(0.0636244\pi\) |
−0.989681 | + | 0.143287i | \(0.954233\pi\) | |||||||
\(114\) | −1.42547 | + | 0.311362i | −0.133508 | + | 0.0291617i | ||||
\(115\) | 7.61765 | + | 6.55552i | 0.710350 | + | 0.611305i | ||||
\(116\) | 1.95859 | − | 1.20527i | 0.181850 | − | 0.111906i | ||||
\(117\) | 13.9780 | + | 9.15193i | 1.29227 | + | 0.846097i | ||||
\(118\) | 0.610678 | − | 0.765766i | 0.0562174 | − | 0.0704944i | ||||
\(119\) | 15.8029 | − | 3.46732i | 1.44865 | − | 0.317849i | ||||
\(120\) | −1.79252 | + | 11.8926i | −0.163634 | + | 1.08564i | ||||
\(121\) | −6.36538 | − | 8.97116i | −0.578671 | − | 0.815560i | ||||
\(122\) | −2.29240 | − | 6.75319i | −0.207544 | − | 0.611405i | ||||
\(123\) | 19.8909 | − | 5.32975i | 1.79350 | − | 0.480567i | ||||
\(124\) | −0.335424 | − | 1.12464i | −0.0301219 | − | 0.100996i | ||||
\(125\) | 7.82436 | − | 9.26591i | 0.699832 | − | 0.828768i | ||||
\(126\) | 18.8570 | + | 14.7517i | 1.67992 | + | 1.31418i | ||||
\(127\) | 0.437834 | − | 0.391272i | 0.0388515 | − | 0.0347198i | −0.646695 | − | 0.762749i | \(-0.723849\pi\) |
0.685546 | + | 0.728029i | \(0.259563\pi\) | |||||||
\(128\) | 4.98859 | − | 12.0435i | 0.440933 | − | 1.06451i | ||||
\(129\) | −16.8194 | − | 4.51401i | −1.48087 | − | 0.397436i | ||||
\(130\) | −2.10113 | − | 10.5631i | −0.184282 | − | 0.926446i | ||||
\(131\) | 2.30054 | + | 16.2955i | 0.200999 | + | 1.42374i | 0.788757 | + | 0.614705i | \(0.210725\pi\) |
−0.587758 | + | 0.809037i | \(0.699989\pi\) | |||||||
\(132\) | −0.00146217 | − | 0.00169908i | −0.000127266 | − | 0.000147886i | ||||
\(133\) | −1.27225 | + | 0.657261i | −0.110318 | + | 0.0569917i | ||||
\(134\) | −6.54126 | + | 0.613395i | −0.565079 | + | 0.0529893i | ||||
\(135\) | 4.20161 | + | 2.42580i | 0.361617 | + | 0.208780i | ||||
\(136\) | −10.6915 | + | 1.21480i | −0.916786 | + | 0.104169i | ||||
\(137\) | 19.6239 | − | 4.47902i | 1.67658 | − | 0.382668i | 0.724682 | − | 0.689084i | \(-0.241987\pi\) |
0.951898 | + | 0.306415i | \(0.0991296\pi\) | |||||||
\(138\) | −22.4745 | + | 5.57378i | −1.91316 | + | 0.474471i | ||||
\(139\) | 7.52841 | + | 10.4028i | 0.638551 | + | 0.882355i | 0.998723 | − | 0.0505309i | \(-0.0160913\pi\) |
−0.360171 | + | 0.932886i | \(0.617282\pi\) | |||||||
\(140\) | −0.203193 | − | 1.80339i | −0.0171730 | − | 0.152414i | ||||
\(141\) | 9.34191 | − | 23.1636i | 0.786731 | − | 1.95073i | ||||
\(142\) | 4.93832 | − | 6.82382i | 0.414415 | − | 0.572642i | ||||
\(143\) | −0.0113674 | − | 0.00642201i | −0.000950589 | − | 0.000537036i | ||||
\(144\) | −13.0238 | − | 12.5456i | −1.08532 | − | 1.04547i | ||||
\(145\) | 8.66469 | − | 12.2117i | 0.719563 | − | 1.01413i | ||||
\(146\) | −2.59709 | − | 0.774578i | −0.214937 | − | 0.0641045i | ||||
\(147\) | 20.5224 | + | 8.72636i | 1.69266 | + | 0.719738i | ||||
\(148\) | −0.0112245 | − | 0.0123263i | −0.000922649 | − | 0.00101322i | ||||
\(149\) | −21.7081 | − | 9.47113i | −1.77839 | − | 0.775905i | −0.986184 | − | 0.165656i | \(-0.947026\pi\) |
−0.792209 | − | 0.610249i | \(-0.791069\pi\) | |||||||
\(150\) | 1.98602 | + | 7.69916i | 0.162158 | + | 0.628634i | ||||
\(151\) | −10.6890 | + | 11.9610i | −0.869862 | + | 0.973376i | −0.999835 | − | 0.0181413i | \(-0.994225\pi\) |
0.129973 | + | 0.991517i | \(0.458511\pi\) | |||||||
\(152\) | 0.886563 | − | 0.347950i | 0.0719097 | − | 0.0282225i | ||||
\(153\) | −4.30970 | + | 16.1446i | −0.348419 | + | 1.30522i | ||||
\(154\) | −0.0154581 | − | 0.0105392i | −0.00124565 | − | 0.000849270i | ||||
\(155\) | −4.87512 | − | 5.88404i | −0.391579 | − | 0.472617i | ||||
\(156\) | 2.66343 | + | 1.19181i | 0.213245 | + | 0.0954209i | ||||
\(157\) | −3.18233 | + | 1.38844i | −0.253977 | + | 0.110809i | −0.523024 | − | 0.852318i | \(-0.675196\pi\) |
0.269047 | + | 0.963127i | \(0.413291\pi\) | |||||||
\(158\) | −6.74394 | − | 8.62076i | −0.536519 | − | 0.685831i | ||||
\(159\) | −9.78768 | − | 7.08324i | −0.776213 | − | 0.561737i | ||||
\(160\) | 0.0243055 | + | 2.59945i | 0.00192152 | + | 0.205505i | ||||
\(161\) | −19.8899 | + | 10.9928i | −1.56754 | + | 0.866351i | ||||
\(162\) | 6.47712 | − | 2.97132i | 0.508890 | − | 0.233449i | ||||
\(163\) | 0.0472322 | − | 0.0518685i | 0.00369951 | − | 0.00406266i | −0.737527 | − | 0.675318i | \(-0.764006\pi\) |
0.741226 | + | 0.671255i | \(0.234245\pi\) | |||||||
\(164\) | 1.88638 | − | 0.844102i | 0.147302 | − | 0.0659133i | ||||
\(165\) | −0.0130899 | − | 0.00645521i | −0.00101905 | − | 0.000502537i | ||||
\(166\) | −1.30161 | − | 4.85767i | −0.101024 | − | 0.377028i | ||||
\(167\) | 10.7996 | − | 19.9794i | 0.835697 | − | 1.54605i | −0.00205323 | − | 0.999998i | \(-0.500654\pi\) |
0.837751 | − | 0.546053i | \(-0.183870\pi\) | |||||||
\(168\) | −23.8023 | − | 13.1551i | −1.83639 | − | 1.01494i | ||||
\(169\) | 3.98395 | + | 0.298556i | 0.306458 | + | 0.0229659i | ||||
\(170\) | 9.37345 | − | 5.30715i | 0.718911 | − | 0.407040i | ||||
\(171\) | − | 1.47901i | − | 0.113103i | ||||||
\(172\) | −1.73839 | − | 0.180134i | −0.132551 | − | 0.0137351i | ||||
\(173\) | 6.32047 | + | 1.25722i | 0.480536 | + | 0.0955846i | 0.429414 | − | 0.903108i | \(-0.358720\pi\) |
0.0511224 | + | 0.998692i | \(0.483720\pi\) | |||||||
\(174\) | 11.3942 | + | 32.5629i | 0.863796 | + | 2.46859i | ||||
\(175\) | 3.83844 | + | 6.79429i | 0.290159 | + | 0.513600i | ||||
\(176\) | 0.0107968 | + | 0.00911706i | 0.000813837 | + | 0.000687224i | ||||
\(177\) | 1.08982 | + | 1.34068i | 0.0819160 | + | 0.100772i | ||||
\(178\) | −9.03216 | − | 11.7709i | −0.676989 | − | 0.882269i | ||||
\(179\) | −8.04057 | + | 1.05856i | −0.600981 | + | 0.0791206i | −0.424877 | − | 0.905251i | \(-0.639683\pi\) |
−0.176104 | + | 0.984372i | \(0.556349\pi\) | |||||||
\(180\) | 1.75114 | + | 0.668445i | 0.130522 | + | 0.0498230i | ||||
\(181\) | 0.458301 | + | 9.79612i | 0.0340653 | + | 0.728139i | 0.947231 | + | 0.320551i | \(0.103868\pi\) |
−0.913166 | + | 0.407588i | \(0.866370\pi\) | |||||||
\(182\) | 24.0466 | + | 3.85472i | 1.78246 | + | 0.285731i | ||||
\(183\) | 12.5012 | − | 1.40855i | 0.924114 | − | 0.104123i | ||||
\(184\) | 13.9092 | − | 5.91433i | 1.02540 | − | 0.436010i | ||||
\(185\) | −0.0986593 | − | 0.0452591i | −0.00725358 | − | 0.00332751i | ||||
\(186\) | 17.5562 | − | 1.31566i | 1.28729 | − | 0.0964688i | ||||
\(187\) | 0.00253545 | − | 0.0128094i | 0.000185410 | − | 0.000936715i | ||||
\(188\) | 0.557768 | − | 2.44374i | 0.0406794 | − | 0.178228i | ||||
\(189\) | −8.44778 | + | 6.99926i | −0.614485 | + | 0.509121i | ||||
\(190\) | −0.680431 | + | 0.667824i | −0.0493636 | + | 0.0484491i | ||||
\(191\) | −16.8647 | − | 12.4467i | −1.22029 | − | 0.900615i | −0.223046 | − | 0.974808i | \(-0.571600\pi\) |
−0.997244 | + | 0.0741928i | \(0.976362\pi\) | |||||||
\(192\) | 14.5389 | + | 10.1128i | 1.04925 | + | 0.729832i | ||||
\(193\) | −3.76230 | + | 2.83142i | −0.270816 | + | 0.203810i | −0.728027 | − | 0.685548i | \(-0.759563\pi\) |
0.457211 | + | 0.889358i | \(0.348848\pi\) | |||||||
\(194\) | −19.2593 | − | 2.71897i | −1.38274 | − | 0.195210i | ||||
\(195\) | 18.9951 | + | 0.355249i | 1.36027 | + | 0.0254399i | ||||
\(196\) | 2.17224 | + | 0.538725i | 0.155160 | + | 0.0384804i | ||||
\(197\) | −4.57533 | − | 11.3447i | −0.325979 | − | 0.808276i | −0.997720 | − | 0.0674899i | \(-0.978501\pi\) |
0.671741 | − | 0.740786i | \(-0.265547\pi\) | |||||||
\(198\) | 0.0169988 | − | 0.00918848i | 0.00120805 | − | 0.000652997i | ||||
\(199\) | 8.35523 | − | 3.18936i | 0.592287 | − | 0.226088i | −0.0420874 | − | 0.999114i | \(-0.513401\pi\) |
0.634374 | + | 0.773026i | \(0.281258\pi\) | |||||||
\(200\) | −2.07546 | − | 4.75700i | −0.146757 | − | 0.336371i | ||||
\(201\) | 1.40523 | − | 11.5039i | 0.0991171 | − | 0.811425i | ||||
\(202\) | −12.3017 | + | 26.8162i | −0.865542 | + | 1.88678i | ||||
\(203\) | 19.0731 | + | 27.9752i | 1.33867 | + | 1.96347i | ||||
\(204\) | −0.296896 | + | 2.90319i | −0.0207869 | + | 0.203264i | ||||
\(205\) | 9.15221 | − | 9.86373i | 0.639218 | − | 0.688913i | ||||
\(206\) | −1.13771 | − | 4.58747i | −0.0792682 | − | 0.319624i | ||||
\(207\) | −0.658291 | − | 23.4624i | −0.0457544 | − | 1.63075i | ||||
\(208\) | −17.7679 | − | 4.76090i | −1.23198 | − | 0.330109i | ||||
\(209\) | 7.55906e−5 | 0.00115329i | 5.22871e−6 | 7.97747e-5i | ||||||
\(210\) | 27.0805 | + | 2.79508i | 1.86873 | + | 0.192879i | ||||
\(211\) | −1.57253 | − | 18.6431i | −0.108257 | − | 1.28344i | −0.816446 | − | 0.577421i | \(-0.804059\pi\) |
0.708189 | − | 0.706023i | \(-0.249512\pi\) | |||||||
\(212\) | −1.08240 | − | 0.546423i | −0.0743398 | − | 0.0375285i | ||||
\(213\) | 9.90104 | + | 11.0793i | 0.678408 | + | 0.759139i | ||||
\(214\) | −5.88710 | + | 8.81067i | −0.402434 | + | 0.602285i | ||||
\(215\) | −10.8750 | + | 3.34968i | −0.741666 | + | 0.228447i | ||||
\(216\) | 6.06672 | − | 4.05366i | 0.412788 | − | 0.275816i | ||||
\(217\) | 16.3090 | − | 5.70678i | 1.10713 | − | 0.387402i | ||||
\(218\) | −8.31070 | + | 29.8950i | −0.562871 | + | 2.02475i | ||||
\(219\) | 2.31251 | − | 4.18417i | 0.156265 | − | 0.282740i | ||||
\(220\) | −0.00139965 | 0.000431735i | −9.43645e−5 | 2.91076e-5i | ||||||
\(221\) | 4.10700 | + | 16.4939i | 0.276267 | + | 1.10950i | ||||
\(222\) | 0.216583 | − | 0.125044i | 0.0145361 | − | 0.00839242i | ||||
\(223\) | −4.71573 | + | 3.34599i | −0.315788 | + | 0.224064i | −0.725617 | − | 0.688099i | \(-0.758446\pi\) |
0.409829 | + | 0.912163i | \(0.365588\pi\) | |||||||
\(224\) | −5.52997 | − | 1.99325i | −0.369487 | − | 0.133179i | ||||
\(225\) | −8.05415 | + | 0.301365i | −0.536943 | + | 0.0200910i | ||||
\(226\) | −5.45349 | − | 0.459996i | −0.362761 | − | 0.0305985i | ||||
\(227\) | 4.69951 | + | 4.61244i | 0.311918 | + | 0.306139i | 0.839494 | − | 0.543369i | \(-0.182852\pi\) |
−0.527576 | + | 0.849508i | \(0.676899\pi\) | |||||||
\(228\) | −0.0408846 | − | 0.255048i | −0.00270765 | − | 0.0168910i | ||||
\(229\) | −15.1615 | − | 4.98905i | −1.00190 | − | 0.329686i | −0.235381 | − | 0.971903i | \(-0.575634\pi\) |
−0.766523 | + | 0.642217i | \(0.778015\pi\) | |||||||
\(230\) | −10.4968 | + | 10.8969i | −0.692140 | + | 0.718522i | ||||
\(231\) | 0.0239818 | − | 0.0226728i | 0.00157789 | − | 0.00149176i | ||||
\(232\) | −10.7080 | − | 19.8099i | −0.703013 | − | 1.30058i | ||||
\(233\) | −0.0766953 | + | 8.20249i | −0.00502448 | + | 0.537363i | 0.960671 | + | 0.277688i | \(0.0895680\pi\) |
−0.965696 | + | 0.259676i | \(0.916384\pi\) | |||||||
\(234\) | −14.9365 | + | 20.2382i | −0.976428 | + | 1.32301i | ||||
\(235\) | −2.88406 | − | 16.0634i | −0.188136 | − | 1.04786i | ||||
\(236\) | 0.129290 | + | 0.115541i | 0.00841606 | + | 0.00752105i | ||||
\(237\) | 17.3954 | − | 8.37719i | 1.12995 | − | 0.544157i | ||||
\(238\) | 3.87785 | + | 24.0465i | 0.251364 | + | 1.55870i | ||||
\(239\) | −9.53511 | + | 1.43719i | −0.616775 | + | 0.0929639i | −0.449996 | − | 0.893030i | \(-0.648575\pi\) |
−0.166779 | + | 0.985994i | \(0.553337\pi\) | |||||||
\(240\) | −20.1295 | − | 4.20003i | −1.29935 | − | 0.271111i | ||||
\(241\) | 0.444494 | + | 4.30653i | 0.0286324 | + | 0.277408i | 0.999314 | + | 0.0370385i | \(0.0117924\pi\) |
−0.970681 | + | 0.240370i | \(0.922731\pi\) | |||||||
\(242\) | 14.0221 | − | 8.81069i | 0.901377 | − | 0.566373i | ||||
\(243\) | 4.47235 | + | 20.4752i | 0.286901 | + | 1.31349i | ||||
\(244\) | 1.21640 | − | 0.338155i | 0.0778722 | − | 0.0216482i | ||||
\(245\) | 14.3881 | − | 2.30645i | 0.919224 | − | 0.147353i | ||||
\(246\) | 6.33223 | + | 30.3485i | 0.403728 | + | 1.93495i | ||||
\(247\) | −0.727739 | − | 1.31674i | −0.0463049 | − | 0.0837824i | ||||
\(248\) | −11.1792 | + | 2.66180i | −0.709883 | + | 0.169024i | ||||
\(249\) | 8.86154 | − | 0.414578i | 0.561577 | − | 0.0262728i | ||||
\(250\) | 13.2674 | + | 12.5432i | 0.839102 | + | 0.793301i | ||||
\(251\) | 1.34973 | − | 5.03726i | 0.0851942 | − | 0.317949i | −0.910157 | − | 0.414264i | \(-0.864039\pi\) |
0.995351 | + | 0.0963150i | \(0.0307056\pi\) | |||||||
\(252\) | −2.79459 | + | 3.18661i | −0.176042 | + | 0.200738i | ||||
\(253\) | 0.00171245 | + | 0.0182617i | 0.000107661 | + | 0.00114810i | ||||
\(254\) | 0.551173 | + | 0.691149i | 0.0345837 | + | 0.0433666i | ||||
\(255\) | 5.61773 | + | 18.1517i | 0.351796 | + | 1.13670i | ||||
\(256\) | 5.66525 | + | 2.72824i | 0.354078 | + | 0.170515i | ||||
\(257\) | −3.69494 | − | 8.92037i | −0.230484 | − | 0.556437i | 0.765750 | − | 0.643138i | \(-0.222368\pi\) |
−0.996234 | + | 0.0867003i | \(0.972368\pi\) | |||||||
\(258\) | 8.20493 | − | 24.9007i | 0.510817 | − | 1.55025i | ||||
\(259\) | 0.173557 | − | 0.173557i | 0.0107843 | − | 0.0107843i | ||||
\(260\) | 1.88792 | − | 0.266530i | 0.117084 | − | 0.0165295i | ||||
\(261\) | −34.7120 | + | 4.24014i | −2.14862 | + | 0.262458i | ||||
\(262\) | −24.6884 | + | 2.08244i | −1.52525 | + | 0.128654i | ||||
\(263\) | −9.69298 | − | 8.03095i | −0.597694 | − | 0.495209i | 0.289146 | − | 0.957285i | \(-0.406629\pi\) |
−0.886841 | + | 0.462076i | \(0.847105\pi\) | |||||||
\(264\) | −0.0174138 | + | 0.0133621i | −0.00107175 | + | 0.000822379i | ||||
\(265\) | −7.87768 | − | 0.516331i | −0.483922 | − | 0.0317179i | ||||
\(266\) | −0.880551 | − | 1.96784i | −0.0539901 | − | 0.120656i | ||||
\(267\) | 23.6857 | − | 11.1348i | 1.44954 | − | 0.681440i | ||||
\(268\) | −0.0434894 | − | 1.16228i | −0.00265654 | − | 0.0709975i | ||||
\(269\) | 2.04690 | + | 2.42402i | 0.124802 | + | 0.147795i | 0.822856 | − | 0.568250i | \(-0.192379\pi\) |
−0.698054 | + | 0.716045i | \(0.745951\pi\) | |||||||
\(270\) | −4.00097 | + | 6.11079i | −0.243491 | + | 0.371891i | ||||
\(271\) | 10.1398 | + | 10.9281i | 0.615950 | + | 0.663837i | 0.961577 | − | 0.274535i | \(-0.0885241\pi\) |
−0.345627 | + | 0.938372i | \(0.612334\pi\) | |||||||
\(272\) | −1.04879 | − | 18.3674i | −0.0635921 | − | 1.11369i | ||||
\(273\) | −15.6950 | + | 39.9903i | −0.949906 | + | 2.42032i | ||||
\(274\) | 5.07601 | + | 29.8753i | 0.306653 | + | 1.80483i | ||||
\(275\) | 0.00626499 | 0.000646634i | 0.000377793 | 3.89935e-5i | ||||||
\(276\) | −0.762096 | − | 4.02777i | −0.0458728 | − | 0.242443i | ||||
\(277\) | −8.68203 | + | 7.90598i | −0.521653 | + | 0.475024i | −0.890831 | − | 0.454334i | \(-0.849877\pi\) |
0.369179 | + | 0.929358i | \(0.379639\pi\) | |||||||
\(278\) | −16.2723 | + | 10.4380i | −0.975946 | + | 0.626031i | ||||
\(279\) | −2.49469 | + | 17.6707i | −0.149353 | + | 1.05792i | ||||
\(280\) | −17.7424 | + | 0.996392i | −1.06031 | + | 0.0595458i | ||||
\(281\) | 0.110877 | − | 5.92856i | 0.00661435 | − | 0.353668i | −0.980756 | − | 0.195238i | \(-0.937452\pi\) |
0.987370 | − | 0.158430i | \(-0.0506432\pi\) | |||||||
\(282\) | 34.0293 | + | 15.9974i | 2.02641 | + | 0.952632i | ||||
\(283\) | 3.33611 | − | 7.84579i | 0.198311 | − | 0.466384i | −0.791070 | − | 0.611725i | \(-0.790476\pi\) |
0.989382 | + | 0.145342i | \(0.0464281\pi\) | |||||||
\(284\) | 1.15711 | + | 0.940600i | 0.0686621 | + | 0.0558144i | ||||
\(285\) | −0.894774 | − | 1.42403i | −0.0530019 | − | 0.0843520i | ||||
\(286\) | 0.0106127 | − | 0.0165445i | 0.000627541 | − | 0.000978300i | ||||
\(287\) | 13.7119 | + | 27.1617i | 0.809386 | + | 1.60331i | ||||
\(288\) | 4.45052 | − | 4.12948i | 0.262249 | − | 0.243332i | ||||
\(289\) | −14.3773 | + | 9.07155i | −0.845724 | + | 0.533621i | ||||
\(290\) | 17.6244 | + | 14.0550i | 1.03494 | + | 0.825337i | ||||
\(291\) | 11.9356 | − | 32.1675i | 0.699678 | − | 1.88569i | ||||
\(292\) | 0.162689 | − | 0.451355i | 0.00952063 | − | 0.0264136i | ||||
\(293\) | −8.60702 | − | 5.40815i | −0.502827 | − | 0.315947i | 0.256624 | − | 0.966511i | \(-0.417390\pi\) |
−0.759452 | + | 0.650564i | \(0.774533\pi\) | |||||||
\(294\) | −14.8492 | + | 30.1112i | −0.866024 | + | 1.75612i | ||||
\(295\) | 1.06905 | + | 0.362893i | 0.0622423 | + | 0.0211284i | ||||
\(296\) | −0.126671 | + | 0.102969i | −0.00736259 | + | 0.00598494i | ||||
\(297\) | 0.00245121 | + | 0.00850833i | 0.000142234 | + | 0.000493703i | ||||
\(298\) | 16.0688 | − | 31.8305i | 0.930840 | − | 1.84389i | ||||
\(299\) | −12.1306 | − | 20.5644i | −0.701531 | − | 1.18927i | ||||
\(300\) | −1.38057 | + | 0.274612i | −0.0797070 | + | 0.0158547i | ||||
\(301\) | 1.45310 | − | 25.6899i | 0.0837551 | − | 1.48074i | ||||
\(302\) | −17.0767 | − | 17.0767i | −0.982653 | − | 0.982653i | ||||
\(303\) | −41.5835 | − | 31.2948i | −2.38891 | − | 1.79784i | ||||
\(304\) | 0.508980 | + | 1.54677i | 0.0291920 | + | 0.0887134i | ||||
\(305\) | 6.42688 | − | 5.12526i | 0.368002 | − | 0.293472i | ||||
\(306\) | −23.9037 | − | 7.84087i | −1.36648 | − | 0.448233i | ||||
\(307\) | −3.39369 | + | 5.87804i | −0.193688 | + | 0.335478i | −0.946470 | − | 0.322793i | \(-0.895378\pi\) |
0.752782 | + | 0.658270i | \(0.228712\pi\) | |||||||
\(308\) | 0.00201627 | − | 0.00262766i | 0.000114888 | − | 0.000149725i | ||||
\(309\) | 8.33420 | − | 0.233835i | 0.474116 | − | 0.0133024i | ||||
\(310\) | 9.25599 | − | 6.83123i | 0.525705 | − | 0.387988i | ||||
\(311\) | 3.79995 | − | 23.7049i | 0.215475 | − | 1.34418i | −0.615615 | − | 0.788047i | \(-0.711092\pi\) |
0.831091 | − | 0.556137i | \(-0.187717\pi\) | |||||||
\(312\) | 13.1140 | − | 25.3846i | 0.742435 | − | 1.43712i | ||||
\(313\) | −4.67468 | + | 0.0437094i | −0.264228 | + | 0.00247060i | −0.141382 | − | 0.989955i | \(-0.545155\pi\) |
−0.122846 | + | 0.992426i | \(0.539202\pi\) | |||||||
\(314\) | −1.81836 | − | 4.90065i | −0.102616 | − | 0.276560i | ||||
\(315\) | −8.62578 | + | 26.2134i | −0.486008 | + | 1.47696i | ||||
\(316\) | 1.59069 | − | 1.10644i | 0.0894833 | − | 0.0622422i | ||||
\(317\) | 15.2093 | + | 0.426733i | 0.854241 | + | 0.0239677i | 0.452478 | − | 0.891776i | \(-0.350540\pi\) |
0.401763 | + | 0.915743i | \(0.368397\pi\) | |||||||
\(318\) | 11.4732 | − | 14.1142i | 0.643387 | − | 0.791486i | ||||
\(319\) | 0.0268507 | − | 0.00508043i | 0.00150335 | − | 0.000284450i | ||||
\(320\) | 11.5596 | + | 0.540805i | 0.646202 | + | 0.0302319i | ||||
\(321\) | −12.9680 | − | 13.4623i | −0.723802 | − | 0.751391i | ||||
\(322\) | −14.8446 | − | 30.8250i | −0.827255 | − | 1.71781i | ||||
\(323\) | 1.02241 | − | 1.10397i | 0.0568883 | − | 0.0614265i | ||||
\(324\) | 0.460897 | + | 1.17435i | 0.0256054 | + | 0.0652415i | ||||
\(325\) | −7.02222 | + | 4.23130i | −0.389523 | + | 0.234710i | ||||
\(326\) | 0.0739780 | + | 0.0753745i | 0.00409726 | + | 0.00417461i | ||||
\(327\) | −48.3919 | − | 25.5758i | −2.67608 | − | 1.41435i | ||||
\(328\) | −7.21667 | − | 18.9057i | −0.398474 | − | 1.04389i | ||||
\(329\) | 36.3232 | + | 6.52155i | 2.00256 | + | 0.359545i | ||||
\(330\) | 0.0108080 | − | 0.0191308i | 0.000594960 | − | 0.00105312i | ||||
\(331\) | 29.7430 | − | 11.0360i | 1.63482 | − | 0.606593i | 0.647043 | − | 0.762453i | \(-0.276005\pi\) |
0.987779 | + | 0.155860i | \(0.0498148\pi\) | |||||||
\(332\) | 0.871529 | − | 0.181845i | 0.0478314 | − | 0.00998005i | ||||
\(333\) | 0.0769834 | + | 0.241533i | 0.00421866 | + | 0.0132359i | ||||
\(334\) | 29.1199 | + | 17.9197i | 1.59337 | + | 0.980523i | ||||
\(335\) | −3.22180 | − | 6.85332i | −0.176026 | − | 0.374437i | ||||
\(336\) | 24.7383 | − | 39.3708i | 1.34958 | − | 2.14785i | ||||
\(337\) | −33.2252 | + | 11.2784i | −1.80989 | + | 0.614376i | −0.810295 | + | 0.586023i | \(0.800693\pi\) |
−0.999598 | + | 0.0283532i | \(0.990974\pi\) | |||||||
\(338\) | −0.785069 | + | 5.96319i | −0.0427021 | + | 0.324355i | ||||
\(339\) | 2.84561 | − | 9.22523i | 0.154552 | − | 0.501046i | ||||
\(340\) | 0.845013 | + | 1.70947i | 0.0458272 | + | 0.0927090i | ||||
\(341\) | 0.00104216 | − | 0.0139066i | 5.64359e−5 | − | 0.000753085i | ||||
\(342\) | 2.22314 | + | 0.124849i | 0.120214 | + | 0.00675106i | ||||
\(343\) | −1.06964 | + | 5.37744i | −0.0577551 | + | 0.290355i | ||||
\(344\) | −2.71551 | + | 16.8964i | −0.146411 | + | 0.910995i | ||||
\(345\) | −14.8281 | − | 22.1919i | −0.798320 | − | 1.19477i | ||||
\(346\) | −2.42330 | + | 9.39435i | −0.130277 | + | 0.505043i | ||||
\(347\) | 6.98903 | − | 8.93407i | 0.375191 | − | 0.479606i | −0.562638 | − | 0.826703i | \(-0.690214\pi\) |
0.937829 | + | 0.347097i | \(0.112833\pi\) | |||||||
\(348\) | −5.86870 | + | 1.69074i | −0.314595 | + | 0.0906334i | ||||
\(349\) | −2.21886 | + | 2.67806i | −0.118773 | + | 0.143353i | −0.826080 | − | 0.563554i | \(-0.809434\pi\) |
0.707307 | + | 0.706907i | \(0.249910\pi\) | |||||||
\(350\) | −10.5367 | + | 5.19613i | −0.563211 | + | 0.277745i | ||||
\(351\) | −7.59950 | − | 8.66557i | −0.405631 | − | 0.462534i | ||||
\(352\) | −0.00325933 | + | 0.00344751i | −0.000173723 | + | 0.000183753i | ||||
\(353\) | −2.95656 | − | 4.00600i | −0.157362 | − | 0.213218i | 0.718823 | − | 0.695193i | \(-0.244681\pi\) |
−0.876185 | + | 0.481976i | \(0.839919\pi\) | |||||||
\(354\) | −2.10722 | + | 1.52497i | −0.111997 | + | 0.0810512i | ||||
\(355\) | 9.32960 | + | 2.68781i | 0.495164 | + | 0.142654i | ||||
\(356\) | 2.17021 | − | 1.47962i | 0.115021 | − | 0.0784198i | ||||
\(357\) | −42.9007 | − | 2.36886i | −2.27055 | − | 0.125373i | ||||
\(358\) | −0.912418 | − | 12.1754i | −0.0482228 | − | 0.643488i | ||||
\(359\) | −0.0608062 | − | 3.25130i | −0.00320923 | − | 0.171597i | −0.997742 | − | 0.0671685i | \(-0.978603\pi\) |
0.994532 | − | 0.104428i | \(-0.0333013\pi\) | |||||||
\(360\) | 7.49649 | − | 16.7530i | 0.395100 | − | 0.882962i | ||||
\(361\) | 8.81587 | − | 16.6804i | 0.463993 | − | 0.877918i | ||||
\(362\) | −14.7635 | − | 0.138042i | −0.775953 | − | 0.00725535i | ||||
\(363\) | 9.90573 | + | 27.4820i | 0.519916 | + | 1.44243i | ||||
\(364\) | −0.920028 | + | 4.21206i | −0.0482226 | + | 0.220772i | ||||
\(365\) | −0.175154 | − | 3.11891i | −0.00916800 | − | 0.163251i | ||||
\(366\) | 1.06195 | + | 18.9098i | 0.0555091 | + | 0.988430i | ||||
\(367\) | 5.29317 | − | 24.2331i | 0.276301 | − | 1.26496i | −0.606451 | − | 0.795121i | \(-0.707407\pi\) |
0.882752 | − | 0.469839i | \(-0.155688\pi\) | |||||||
\(368\) | 8.76269 | + | 24.3108i | 0.456787 | + | 1.26729i | ||||
\(369\) | −31.4241 | − | 0.293823i | −1.63587 | − | 0.0152958i | ||||
\(370\) | 0.0763584 | − | 0.144477i | 0.00396969 | − | 0.00751101i | ||||
\(371\) | 7.29135 | − | 16.2946i | 0.378548 | − | 0.845972i | ||||
\(372\) | 0.0582793 | + | 3.11618i | 0.00302164 | + | 0.161567i | ||||
\(373\) | −0.886104 | − | 11.8242i | −0.0458807 | − | 0.612236i | −0.971996 | − | 0.234996i | \(-0.924492\pi\) |
0.926116 | − | 0.377240i | \(-0.123127\pi\) | |||||||
\(374\) | 0.0190401 | + | 0.00489239i | 0.000984541 | + | 0.000252980i | ||||
\(375\) | −26.6108 | + | 18.1430i | −1.37418 | + | 0.936898i | ||||
\(376\) | −23.5850 | − | 6.79472i | −1.21630 | − | 0.350411i | ||||
\(377\) | −28.8173 | + | 20.8548i | −1.48417 | + | 1.07408i | ||||
\(378\) | −9.80768 | − | 13.2889i | −0.504452 | − | 0.683509i | ||||
\(379\) | −24.6237 | + | 26.0453i | −1.26483 | + | 1.33786i | −0.348569 | + | 0.937283i | \(0.613332\pi\) |
−0.916264 | + | 0.400575i | \(0.868811\pi\) | |||||||
\(380\) | −0.111286 | − | 0.126897i | −0.00570885 | − | 0.00650970i | ||||
\(381\) | −1.39859 | + | 0.689706i | −0.0716517 | + | 0.0353347i | ||||
\(382\) | 20.1327 | − | 24.2992i | 1.03008 | − | 1.24326i | ||||
\(383\) | 8.86674 | − | 2.55446i | 0.453069 | − | 0.130527i | −0.0424981 | − | 0.999097i | \(-0.513532\pi\) |
0.495567 | + | 0.868570i | \(0.334960\pi\) | |||||||
\(384\) | −21.3308 | + | 27.2671i | −1.08853 | + | 1.39147i | ||||
\(385\) | 0.00538640 | − | 0.0208813i | 0.000274516 | − | 0.00106421i | ||||
\(386\) | −3.93839 | − | 5.89422i | −0.200459 | − | 0.300008i | ||||
\(387\) | 22.8846 | + | 13.5117i | 1.16329 | + | 0.686838i | ||||
\(388\) | 0.671760 | − | 3.37716i | 0.0341034 | − | 0.171450i | ||||
\(389\) | 22.6095 | + | 1.26972i | 1.14635 | + | 0.0643776i | 0.619085 | − | 0.785324i | \(-0.287504\pi\) |
0.527264 | + | 0.849702i | \(0.323218\pi\) | |||||||
\(390\) | −2.13744 | + | 28.5221i | −0.108233 | + | 1.44427i | ||||
\(391\) | 15.7277 | − | 17.9680i | 0.795383 | − | 0.908679i | ||||
\(392\) | 6.45949 | − | 20.9411i | 0.326253 | − | 1.05769i | ||||
\(393\) | 5.70466 | − | 43.3312i | 0.287762 | − | 2.18577i | ||||
\(394\) | 17.4387 | − | 5.91966i | 0.878551 | − | 0.298228i | ||||
\(395\) | 6.71211 | − | 10.6823i | 0.337723 | − | 0.537483i | ||||
\(396\) | 0.00145536 | + | 0.00309580i | 7.31346e−5 | + | 0.000155570i | ||||
\(397\) | −29.7770 | − | 18.3241i | −1.49447 | − | 0.919658i | −0.998688 | − | 0.0512088i | \(-0.983693\pi\) |
−0.495778 | − | 0.868449i | \(-0.665117\pi\) | |||||||
\(398\) | 4.08872 | + | 12.8282i | 0.204949 | + | 0.643020i | ||||
\(399\) | 3.72279 | − | 0.776762i | 0.186372 | − | 0.0388867i | ||||
\(400\) | 8.31943 | − | 3.08689i | 0.415972 | − | 0.154344i | ||||
\(401\) | −17.2272 | + | 30.4933i | −0.860285 | + | 1.52276i | −0.00782495 | + | 0.999969i | \(0.502491\pi\) |
−0.852460 | + | 0.522793i | \(0.824890\pi\) | |||||||
\(402\) | 17.1733 | + | 3.08333i | 0.856525 | + | 0.153782i | ||||
\(403\) | 6.47378 | + | 16.9595i | 0.322482 | + | 0.844813i | ||||
\(404\) | −4.61773 | − | 2.44054i | −0.229741 | − | 0.121422i | ||||
\(405\) | 5.75356 | + | 5.86217i | 0.285896 | + | 0.291293i | ||||
\(406\) | −43.6603 | + | 26.3079i | −2.16682 | + | 1.30564i | ||||
\(407\) | −7.23739e−5 | 0 | 0.000184406i | −3.58744e−6 | 0 | 9.14065e-6i | ||||
\(408\) | 28.2201 | + | 4.49657i | 1.39710 | + | 0.222613i | ||||
\(409\) | −4.45319 | − | 9.24715i | −0.220196 | − | 0.457242i | 0.761382 | − | 0.648304i | \(-0.224521\pi\) |
−0.981578 | + | 0.191062i | \(0.938807\pi\) | |||||||
\(410\) | 14.0539 | + | 14.5896i | 0.694072 | + | 0.720528i | ||||
\(411\) | −53.3970 | − | 2.49812i | −2.63388 | − | 0.123223i | ||||
\(412\) | 0.822145 | − | 0.155558i | 0.0405042 | − | 0.00766380i | ||||
\(413\) | −1.61027 | + | 1.98093i | −0.0792360 | + | 0.0974750i | ||||
\(414\) | 35.3226 | + | 0.991055i | 1.73601 | + | 0.0487077i | ||||
\(415\) | 4.75871 | − | 3.31003i | 0.233596 | − | 0.162483i | ||||
\(416\) | 1.93035 | − | 5.86627i | 0.0946433 | − | 0.287618i | ||||
\(417\) | −11.8632 | − | 31.9724i | −0.580944 | − | 1.56569i | ||||
\(418\) | −0.00173992 | 1.62687e-5i | −8.51024e−5 | 7.95729e-7i | ||||||
\(419\) | −11.2377 | + | 21.7527i | −0.548997 | + | 1.06269i | 0.437548 | + | 0.899195i | \(0.355847\pi\) |
−0.986545 | + | 0.163492i | \(0.947724\pi\) | |||||||
\(420\) | −0.762848 | + | 4.75882i | −0.0372232 | + | 0.232207i | ||||
\(421\) | 9.05519 | − | 6.68304i | 0.441323 | − | 0.325711i | −0.350391 | − | 0.936604i | \(-0.613951\pi\) |
0.791714 | + | 0.610892i | \(0.209189\pi\) | |||||||
\(422\) | 28.1557 | − | 0.789974i | 1.37060 | − | 0.0384553i | ||||
\(423\) | −23.2033 | + | 30.2391i | −1.12818 | + | 1.47028i | ||||
\(424\) | −5.93638 | + | 10.2821i | −0.288296 | + | 0.499344i | ||||
\(425\) | −6.22014 | − | 5.34271i | −0.301721 | − | 0.259160i | ||||
\(426\) | −17.4893 | + | 13.9473i | −0.847362 | + | 0.675748i | ||||
\(427\) | 5.81009 | + | 17.6566i | 0.281170 | + | 0.854465i | ||||
\(428\) | −1.49888 | − | 1.12802i | −0.0724510 | − | 0.0545250i | ||||
\(429\) | 0.0245175 | + | 0.0245175i | 0.00118371 | + | 0.00118371i | ||||
\(430\) | −4.11701 | − | 16.6292i | −0.198540 | − | 0.801933i | ||||
\(431\) | 17.5008 | − | 3.48113i | 0.842985 | − | 0.167680i | 0.245336 | − | 0.969438i | \(-0.421102\pi\) |
0.597649 | + | 0.801758i | \(0.296102\pi\) | |||||||
\(432\) | 6.33823 | + | 10.7449i | 0.304948 | + | 0.516962i | ||||
\(433\) | −8.46221 | + | 16.7627i | −0.406668 | + | 0.805564i | 0.593332 | + | 0.804958i | \(0.297812\pi\) |
−1.00000 | 0.000606483i | \(0.999807\pi\) | ||||||||
\(434\) | 7.20132 | + | 24.9963i | 0.345674 | + | 1.19986i | ||||
\(435\) | −30.8563 | + | 25.0827i | −1.47945 | + | 1.20262i | ||||
\(436\) | −5.20155 | − | 1.76569i | −0.249109 | − | 0.0845612i | ||||
\(437\) | −0.934799 | + | 1.89558i | −0.0447175 | + | 0.0906781i | ||||
\(438\) | 6.09414 | + | 3.82920i | 0.291189 | + | 0.182966i | ||||
\(439\) | −6.65918 | + | 18.4749i | −0.317825 | + | 0.881759i | 0.672137 | + | 0.740427i | \(0.265377\pi\) |
−0.989962 | + | 0.141332i | \(0.954861\pi\) | |||||||
\(440\) | −0.00498932 | + | 0.0134467i | −0.000237857 | + | 0.000641044i | ||||
\(441\) | −26.6074 | − | 21.2187i | −1.26702 | − | 1.01041i | ||||
\(442\) | −25.1392 | + | 4.78104i | −1.19575 | + | 0.227411i | ||||
\(443\) | 14.1622 | − | 13.1406i | 0.672864 | − | 0.624327i | −0.267877 | − | 0.963453i | \(-0.586322\pi\) |
0.940741 | + | 0.339126i | \(0.110131\pi\) | |||||||
\(444\) | 0.0199521 | + | 0.0395230i | 0.000946887 | + | 0.00187568i | ||||
\(445\) | 9.23367 | − | 14.3948i | 0.437718 | − | 0.682377i | ||||
\(446\) | −4.63137 | − | 7.37079i | −0.219302 | − | 0.349017i | ||||
\(447\) | 48.8070 | + | 39.6745i | 2.30849 | + | 1.87654i | ||||
\(448\) | −10.2395 | + | 24.0810i | −0.483771 | + | 1.13772i | ||||
\(449\) | 29.4081 | + | 13.8250i | 1.38785 | + | 0.652440i | 0.967021 | − | 0.254698i | \(-0.0819761\pi\) |
0.420833 | + | 0.907138i | \(0.361738\pi\) | |||||||
\(450\) | 0.226892 | − | 12.1319i | 0.0106958 | − | 0.571901i | ||||
\(451\) | 0.0245186 | − | 0.00137694i | 0.00115454 | − | 6.48374e-5i | ||||
\(452\) | 0.135439 | − | 0.959356i | 0.00637049 | − | 0.0451243i | ||||
\(453\) | 35.8577 | − | 23.0013i | 1.68474 | − | 1.08069i | ||||
\(454\) | −7.32980 | + | 6.67462i | −0.344005 | + | 0.313255i | ||||
\(455\) | 5.21875 | + | 27.5818i | 0.244659 | + | 1.29305i | ||||
\(456\) | −2.51592 | + | 0.259678i | −0.117819 | + | 0.0121605i | ||||
\(457\) | 6.75650 | + | 39.7659i | 0.316056 | + | 1.86017i | 0.484958 | + | 0.874538i | \(0.338835\pi\) |
−0.168902 | + | 0.985633i | \(0.554022\pi\) | |||||||
\(458\) | 8.77903 | − | 22.3686i | 0.410217 | − | 1.04522i | ||||
\(459\) | 5.84750 | − | 9.93425i | 0.272938 | − | 0.463691i | ||||
\(460\) | −1.82187 | − | 1.96351i | −0.0849454 | − | 0.0915493i | ||||
\(461\) | 15.8997 | − | 24.2841i | 0.740523 | − | 1.13102i | −0.246296 | − | 0.969195i | \(-0.579214\pi\) |
0.986819 | − | 0.161828i | \(-0.0517389\pi\) | |||||||
\(462\) | 0.0320557 | + | 0.0379616i | 0.00149137 | + | 0.00176614i | ||||
\(463\) | −0.532293 | − | 14.2258i | −0.0247377 | − | 0.661130i | −0.955411 | − | 0.295279i | \(-0.904587\pi\) |
0.930673 | − | 0.365851i | \(-0.119222\pi\) | |||||||
\(464\) | 34.8432 | − | 16.3800i | 1.61755 | − | 0.760424i | ||||
\(465\) | 8.28851 | + | 18.5230i | 0.384371 | + | 0.858984i | ||||
\(466\) | −12.3229 | − | 0.807687i | −0.570848 | − | 0.0374154i | ||||
\(467\) | 3.58396 | − | 2.75007i | 0.165846 | − | 0.127258i | −0.522504 | − | 0.852637i | \(-0.675002\pi\) |
0.688350 | + | 0.725379i | \(0.258335\pi\) | |||||||
\(468\) | −3.42891 | − | 2.84096i | −0.158501 | − | 0.131323i | ||||
\(469\) | 17.0634 | − | 1.43928i | 0.787914 | − | 0.0664598i | ||||
\(470\) | 24.3888 | − | 2.97914i | 1.12497 | − | 0.137418i | ||||
\(471\) | 9.13014 | − | 1.28896i | 0.420694 | − | 0.0593922i | ||||
\(472\) | 1.20057 | − | 1.20057i | 0.0552606 | − | 0.0552606i | ||||
\(473\) | −0.0185353 | − | 0.00936642i | −0.000852254 | − | 0.000430669i | ||||
\(474\) | 11.1236 | + | 26.8547i | 0.510923 | + | 1.23348i | ||||
\(475\) | 0.653887 | + | 0.314895i | 0.0300024 | + | 0.0144484i | ||||
\(476\) | −4.28878 | + | 0.446732i | −0.196576 | + | 0.0204759i | ||||
\(477\) | 11.4957 | + | 14.4151i | 0.526350 | + | 0.660022i | ||||
\(478\) | −1.35538 | − | 14.4538i | −0.0619936 | − | 0.661102i | ||||
\(479\) | −17.0250 | + | 19.4133i | −0.777893 | + | 0.887017i | −0.996041 | − | 0.0888988i | \(-0.971665\pi\) |
0.218148 | + | 0.975916i | \(0.429999\pi\) | |||||||
\(480\) | 1.78680 | − | 6.66844i | 0.0815560 | − | 0.304371i | ||||
\(481\) | 0.187382 | + | 0.177154i | 0.00854389 | + | 0.00807754i | ||||
\(482\) | −6.51079 | + | 0.304601i | −0.296558 | + | 0.0138742i | ||||
\(483\) | 58.7110 | − | 13.9792i | 2.67144 | − | 0.636075i | ||||
\(484\) | 1.41813 | + | 2.56592i | 0.0644605 | + | 0.116633i | ||||
\(485\) | −4.57920 | − | 21.9467i | −0.207931 | − | 0.996549i | ||||
\(486\) | −31.1545 | + | 4.99412i | −1.41319 | + | 0.226538i | ||||
\(487\) | 30.0366 | − | 8.35006i | 1.36109 | − | 0.378377i | 0.490952 | − | 0.871187i | \(-0.336649\pi\) |
0.870137 | + | 0.492810i | \(0.164030\pi\) | |||||||
\(488\) | −2.63812 | − | 12.0778i | −0.119422 | − | 0.546738i | ||||
\(489\) | −0.157746 | + | 0.0991183i | −0.00713352 | + | 0.00448228i | ||||
\(490\) | 2.25233 | + | 21.8219i | 0.101750 | + | 0.985814i | ||||
\(491\) | −9.56062 | − | 1.99483i | −0.431465 | − | 0.0900254i | −0.0165021 | − | 0.999864i | \(-0.505253\pi\) |
−0.414963 | + | 0.909838i | \(0.636205\pi\) | |||||||
\(492\) | −5.42705 | + | 0.817996i | −0.244670 | + | 0.0368781i | ||||
\(493\) | −28.8410 | − | 20.8307i | −1.29893 | − | 0.938169i | ||||
\(494\) | 2.04067 | − | 0.982733i | 0.0918139 | − | 0.0442153i | ||||
\(495\) | 0.0166076 | + | 0.0148414i | 0.000746455 | + | 0.000667073i | ||||
\(496\) | −3.47213 | − | 19.3388i | −0.155903 | − | 0.868337i | ||||
\(497\) | −13.0370 | + | 17.6645i | −0.584790 | + | 0.792362i | ||||
\(498\) | −0.124873 | + | 13.3550i | −0.00559568 | + | 0.598453i | ||||
\(499\) | −1.90452 | − | 3.52339i | −0.0852581 | − | 0.157729i | 0.833537 | − | 0.552464i | \(-0.186312\pi\) |
−0.918795 | + | 0.394736i | \(0.870836\pi\) | |||||||
\(500\) | −2.34875 | + | 2.22054i | −0.105039 | + | 0.0993057i | ||||
\(501\) | −41.8440 | + | 43.4390i | −1.86945 | + | 1.94071i | ||||
\(502\) | 7.45772 | + | 2.45403i | 0.332854 | + | 0.109529i | ||||
\(503\) | 6.63544 | + | 41.3934i | 0.295859 | + | 1.84564i | 0.499144 | + | 0.866519i | \(0.333648\pi\) |
−0.203284 | + | 0.979120i | \(0.565162\pi\) | |||||||
\(504\) | 29.6196 | + | 29.0708i | 1.31936 | + | 1.29492i | ||||
\(505\) | −33.8864 | − | 2.85828i | −1.50792 | − | 0.127192i | ||||
\(506\) | −0.0275942 | + | 0.00103250i | −0.00122671 | + | 4.59003e-5i | ||||
\(507\) | −9.98128 | − | 3.59770i | −0.443284 | − | 0.159779i | ||||
\(508\) | −0.127634 | + | 0.0905612i | −0.00566284 | + | 0.00401800i | ||||
\(509\) | −11.5047 | + | 6.64224i | −0.509937 | + | 0.294412i | −0.732808 | − | 0.680436i | \(-0.761791\pi\) |
0.222871 | + | 0.974848i | \(0.428457\pi\) | |||||||
\(510\) | −27.7586 | + | 6.91191i | −1.22917 | + | 0.306065i | ||||
\(511\) | 6.74989 | + | 2.08207i | 0.298598 | + | 0.0921052i | ||||
\(512\) | 8.03222 | − | 14.5332i | 0.354977 | − | 0.642283i | ||||
\(513\) | −0.273277 | + | 0.983026i | −0.0120655 | + | 0.0434017i | ||||
\(514\) | 13.7204 | − | 4.80096i | 0.605180 | − | 0.211761i | ||||
\(515\) | 4.52978 | − | 3.02670i | 0.199606 | − | 0.133373i | ||||
\(516\) | 4.31983 | + | 1.69742i | 0.190170 | + | 0.0747247i | ||||
\(517\) | 0.0165478 | − | 0.0247655i | 0.000727770 | − | 0.00108918i | ||||
\(518\) | 0.246227 | + | 0.275529i | 0.0108186 | + | 0.0121060i | ||||
\(519\) | −15.2778 | − | 7.71257i | −0.670619 | − | 0.338544i | ||||
\(520\) | −1.56920 | − | 18.6036i | −0.0688138 | − | 0.815822i | ||||
\(521\) | −25.8496 | − | 2.66804i | −1.13249 | − | 0.116889i | −0.481836 | − | 0.876261i | \(-0.660030\pi\) |
−0.650656 | + | 0.759372i | \(0.725506\pi\) | |||||||
\(522\) | −3.44330 | − | 52.5346i | −0.150709 | − | 2.29938i | ||||
\(523\) | 6.60908 | + | 1.77090i | 0.288995 | + | 0.0774359i | 0.400404 | − | 0.916339i | \(-0.368870\pi\) |
−0.111409 | + | 0.993775i | \(0.535536\pi\) | |||||||
\(524\) | −0.123015 | − | 4.38442i | −0.00537394 | − | 0.191534i | ||||
\(525\) | −4.98852 | − | 20.1147i | −0.217717 | − | 0.877876i | ||||
\(526\) | 12.8898 | − | 13.8919i | 0.562021 | − | 0.605714i | ||||
\(527\) | −14.0775 | + | 11.4653i | −0.613224 | + | 0.499438i | ||||
\(528\) | −0.0211404 | − | 0.0310073i | −0.000920020 | − | 0.00134942i | ||||
\(529\) | −4.39545 | + | 9.58156i | −0.191107 | + | 0.416589i | ||||
\(530\) | 1.44110 | − | 11.7976i | 0.0625973 | − | 0.512454i | ||||
\(531\) | −1.05438 | − | 2.41666i | −0.0457561 | − | 0.104874i | ||||
\(532\) | 0.356563 | − | 0.136107i | 0.0154590 | − | 0.00590099i | ||||
\(533\) | −28.1210 | + | 15.2005i | −1.21806 | + | 0.658405i | ||||
\(534\) | 14.7377 | + | 36.5426i | 0.637761 | + | 1.58135i | ||||
\(535\) | −11.8549 | − | 2.94006i | −0.512531 | − | 0.127110i | ||||
\(536\) | −11.3869 | − | 0.212959i | −0.491839 | − | 0.00919844i | ||||
\(537\) | 21.3262 | + | 3.01075i | 0.920292 | + | 0.129924i | ||||
\(538\) | −3.81640 | + | 2.87214i | −0.164537 | + | 0.123827i | ||||
\(539\) | 0.0218321 | + | 0.0151858i | 0.000940377 | + | 0.000654101i | ||||
\(540\) | −1.04039 | − | 0.767841i | −0.0447712 | − | 0.0330426i | ||||
\(541\) | 0.241710 | − | 0.237232i | 0.0103919 | − | 0.0101994i | −0.695250 | − | 0.718768i | \(-0.744706\pi\) |
0.705642 | + | 0.708569i | \(0.250659\pi\) | |||||||
\(542\) | −17.2823 | + | 14.3190i | −0.742340 | + | 0.615053i | ||||
\(543\) | 5.79534 | − | 25.3911i | 0.248702 | − | 1.08963i | ||||
\(544\) | 6.17659 | − | 0.00579792i | 0.264819 | − | 0.000248584i | ||||
\(545\) | −35.6651 | + | 2.67273i | −1.52773 | + | 0.114487i | ||||
\(546\) | −58.7856 | − | 26.9674i | −2.51579 | − | 1.15410i | ||||
\(547\) | 23.7056 | − | 10.0799i | 1.01358 | − | 0.430984i | 0.180166 | − | 0.983636i | \(-0.442336\pi\) |
0.833412 | + | 0.552652i | \(0.186384\pi\) | |||||||
\(548\) | −5.33094 | + | 0.600653i | −0.227726 | + | 0.0256586i | ||||
\(549\) | −18.9563 | − | 3.03872i | −0.809033 | − | 0.129690i | ||||
\(550\) | 0.000443122 | 0.00947167i | 1.88948e−5 | 0.000403873i | ||||||
\(551\) | 2.94190 | + | 1.12298i | 0.125329 | + | 0.0478407i | ||||
\(552\) | −39.7959 | + | 5.23924i | −1.69383 | + | 0.222997i | ||||
\(553\) | 17.3666 | + | 22.6326i | 0.738502 | + | 0.962435i | ||||
\(554\) | −11.1508 | − | 13.7176i | −0.473753 | − | 0.582804i | ||||
\(555\) | 0.220244 | + | 0.185980i | 0.00934885 | + | 0.00789440i | ||||
\(556\) | −1.68343 | − | 2.97979i | −0.0713934 | − | 0.126371i | ||||
\(557\) | 4.64137 | + | 13.2643i | 0.196661 | + | 0.562025i | 0.999412 | − | 0.0342895i | \(-0.0109168\pi\) |
−0.802751 | + | 0.596315i | \(0.796631\pi\) | |||||||
\(558\) | −26.3508 | − | 5.24149i | −1.11552 | − | 0.221890i | ||||
\(559\) | 27.0222 | + | 0.769065i | 1.14292 | + | 0.0325280i | ||||
\(560\) | − | 30.3828i | − | 1.28391i | ||||||
\(561\) | −0.0155987 | + | 0.0309716i | −0.000658578 | + | 0.00130762i | ||||
\(562\) | 8.90203 | + | 0.667115i | 0.375509 | + | 0.0281405i | ||||
\(563\) | 28.4522 | + | 15.7250i | 1.19912 | + | 0.662728i | 0.951953 | − | 0.306245i | \(-0.0990728\pi\) |
0.247164 | + | 0.968974i | \(0.420501\pi\) | |||||||
\(564\) | −3.16538 | + | 5.85599i | −0.133287 | + | 0.246582i | ||||
\(565\) | −1.63270 | − | 6.09332i | −0.0686882 | − | 0.256348i | ||||
\(566\) | 11.5116 | + | 5.67690i | 0.483869 | + | 0.238618i | ||||
\(567\) | −16.9537 | + | 7.58628i | −0.711987 | + | 0.318594i | ||||
\(568\) | 9.83108 | − | 10.7961i | 0.412503 | − | 0.452994i | ||||
\(569\) | 13.4862 | − | 6.18668i | 0.565371 | − | 0.259359i | −0.113596 | − | 0.993527i | \(-0.536237\pi\) |
0.678968 | + | 0.734168i | \(0.262428\pi\) | |||||||
\(570\) | 2.21602 | − | 1.22475i | 0.0928191 | − | 0.0512993i | ||||
\(571\) | −0.0432918 | − | 4.63001i | −0.00181171 | − | 0.193760i | −0.996158 | − | 0.0875742i | \(-0.972089\pi\) |
0.994346 | − | 0.106186i | \(-0.0338639\pi\) | |||||||
\(572\) | 0.00281896 | + | 0.00204005i | 0.000117867 | + | 8.52988e-5i | ||||
\(573\) | 34.2980 | + | 43.8431i | 1.43282 | + | 1.83157i | ||||
\(574\) | −41.9850 | + | 18.3179i | −1.75242 | + | 0.764573i | ||||
\(575\) | 10.5131 | + | 4.70433i | 0.438428 | + | 0.196184i | ||||
\(576\) | −17.2430 | − | 20.8115i | −0.718460 | − | 0.867148i | ||||
\(577\) | 18.7909 | + | 12.8114i | 0.782273 | + | 0.533345i | 0.887338 | − | 0.461120i | \(-0.152552\pi\) |
−0.105064 | + | 0.994465i | \(0.533505\pi\) | |||||||
\(578\) | −12.4221 | − | 22.3767i | −0.516690 | − | 0.930748i | ||||
\(579\) | 11.6405 | − | 4.56855i | 0.483762 | − | 0.189862i | ||||
\(580\) | −2.65921 | + | 2.97566i | −0.110418 | + | 0.123557i | ||||
\(581\) | 3.27399 | + | 12.6922i | 0.135828 | + | 0.526562i | ||||
\(582\) | 47.3444 | + | 20.6561i | 1.96249 | + | 0.856225i | ||||
\(583\) | −0.00970072 | − | 0.0106529i | −0.000401763 | − | 0.000441200i | ||||
\(584\) | −4.32335 | − | 1.83834i | −0.178902 | − | 0.0760709i | ||||
\(585\) | −27.7834 | − | 8.28635i | −1.14870 | − | 0.342598i | ||||
\(586\) | 8.85570 | − | 12.4809i | 0.365825 | − | 0.515583i | ||||
\(587\) | −26.9007 | − | 25.9130i | −1.11031 | − | 1.06954i | −0.997110 | − | 0.0759714i | \(-0.975794\pi\) |
−0.113201 | − | 0.993572i | \(-0.536111\pi\) | |||||||
\(588\) | −5.17486 | − | 2.92354i | −0.213408 | − | 0.120565i | ||||
\(589\) | 0.942122 | − | 1.30183i | 0.0388195 | − | 0.0536411i | ||||
\(590\) | −0.635716 | + | 1.57628i | −0.0261720 | + | 0.0648945i | ||||
\(591\) | 3.63729 | + | 32.2818i | 0.149618 | + | 1.32790i | ||||
\(592\) | −0.163630 | − | 0.226106i | −0.00672516 | − | 0.00929288i | ||||
\(593\) | 20.5186 | − | 5.08871i | 0.842600 | − | 0.208968i | 0.204447 | − | 0.978878i | \(-0.434461\pi\) |
0.638153 | + | 0.769909i | \(0.279699\pi\) | |||||||
\(594\) | −0.0129960 | + | 0.00296626i | −0.000533234 | + | 0.000121707i | ||||
\(595\) | −24.5593 | + | 13.6035i | −1.00683 | + | 0.557691i | ||||
\(596\) | 5.46664 | + | 3.15617i | 0.223922 | + | 0.129282i | ||||
\(597\) | −23.6469 | + | 2.21745i | −0.967803 | + | 0.0907540i | ||||
\(598\) | 31.9349 | − | 16.4979i | 1.30591 | − | 0.674651i | ||||
\(599\) | −7.53281 | − | 8.75329i | −0.307782 | − | 0.357650i | 0.582684 | − | 0.812699i | \(-0.302003\pi\) |
−0.890466 | + | 0.455049i | \(0.849622\pi\) | |||||||
\(600\) | 1.92676 | + | 13.6479i | 0.0786597 | + | 0.557172i | ||||
\(601\) | 3.30726 | + | 16.6267i | 0.134906 | + | 0.678219i | 0.987749 | + | 0.156051i | \(0.0498764\pi\) |
−0.852843 | + | 0.522168i | \(0.825124\pi\) | |||||||
\(602\) | 38.4926 | + | 4.35278i | 1.56884 | + | 0.177406i | ||||
\(603\) | −6.76821 | + | 16.3399i | −0.275623 | + | 0.665412i | ||||
\(604\) | 3.18787 | − | 2.84885i | 0.129713 | − | 0.115918i | ||||
\(605\) | 15.0345 | + | 11.7613i | 0.611239 | + | 0.478166i | ||||
\(606\) | 50.5503 | − | 59.8636i | 2.05347 | − | 2.43179i | ||||
\(607\) | 4.97869 | + | 16.6931i | 0.202079 | + | 0.677551i | 0.997446 | + | 0.0714232i | \(0.0227541\pi\) |
−0.795367 | + | 0.606127i | \(0.792722\pi\) | |||||||
\(608\) | −0.528067 | + | 0.141495i | −0.0214159 | + | 0.00573838i | ||||
\(609\) | −28.9032 | − | 85.1460i | −1.17122 | − | 3.45029i | ||||
\(610\) | 7.16141 | + | 10.0931i | 0.289957 | + | 0.408656i | ||||
\(611\) | −5.77860 | + | 38.3385i | −0.233777 | + | 1.55101i | ||||
\(612\) | 1.62317 | − | 4.14722i | 0.0656129 | − | 0.167642i | ||||
\(613\) | −7.95732 | + | 9.97816i | −0.321393 | + | 0.403014i | −0.916114 | − | 0.400918i | \(-0.868691\pi\) |
0.594721 | + | 0.803932i | \(0.297263\pi\) | |||||||
\(614\) | −8.54898 | − | 5.59734i | −0.345009 | − | 0.225890i | ||||
\(615\) | −30.4336 | + | 18.7281i | −1.22720 | + | 0.755190i | ||||
\(616\) | −0.0245823 | − | 0.0211548i | −0.000990449 | − | 0.000852350i | ||||
\(617\) | 2.42008 | − | 0.528611i | 0.0974288 | − | 0.0212811i | −0.164416 | − | 0.986391i | \(-0.552574\pi\) |
0.261845 | + | 0.965110i | \(0.415669\pi\) | |||||||
\(618\) | −0.352038 | + | 12.5471i | −0.0141610 | + | 0.504719i | ||||
\(619\) | −7.70985 | + | 25.8504i | −0.309885 | + | 1.03902i | 0.650306 | + | 0.759672i | \(0.274640\pi\) |
−0.960191 | + | 0.279343i | \(0.909883\pi\) | |||||||
\(620\) | 1.11557 | + | 1.70384i | 0.0448022 | + | 0.0684277i | ||||
\(621\) | −3.89762 | + | 15.7159i | −0.156406 | + | 0.630659i | ||||
\(622\) | 35.3108 | + | 7.71283i | 1.41583 | + | 0.309257i | ||||
\(623\) | 23.2536 | + | 30.8986i | 0.931635 | + | 1.23793i | ||||
\(624\) | 42.0759 | + | 24.8199i | 1.68438 | + | 0.993592i | ||||
\(625\) | −4.43938 | + | 10.1752i | −0.177575 | + | 0.407006i | ||||
\(626\) | 0.328907 | − | 7.03033i | 0.0131458 | − | 0.280989i | ||||
\(627\) | 0.000626924 | − | 0.00300466i | 2.50369e−5 | − | 0.000119995i | ||||
\(628\) | 0.884256 | − | 0.272757i | 0.0352857 | − | 0.0108842i | ||||
\(629\) | −0.109504 | + | 0.233503i | −0.00436621 | + | 0.00931037i | ||||
\(630\) | −38.6740 | − | 15.1784i | −1.54081 | − | 0.604723i | ||||
\(631\) | 36.2920 | − | 18.3211i | 1.44476 | − | 0.729350i | 0.457613 | − | 0.889151i | \(-0.348705\pi\) |
0.987149 | + | 0.159802i | \(0.0510855\pi\) | |||||||
\(632\) | −9.94378 | − | 16.1589i | −0.395542 | − | 0.642765i | ||||
\(633\) | −9.23727 | + | 48.8202i | −0.367149 | + | 1.94043i | ||||
\(634\) | −1.92531 | + | 22.8256i | −0.0764639 | + | 0.906518i | ||||
\(635\) | −0.534026 | + | 0.867804i | −0.0211922 | + | 0.0344378i | ||||
\(636\) | 2.38085 | + | 2.16803i | 0.0944068 | + | 0.0859681i | ||||
\(637\) | −34.1287 | − | 5.79871i | −1.35223 | − | 0.229753i | ||||
\(638\) | 0.00536997 | + | 0.0407890i | 0.000212599 | + | 0.00161485i | ||||
\(639\) | −10.0290 | − | 20.3368i | −0.396741 | − | 0.804512i | ||||
\(640\) | −2.32248 | + | 22.5016i | −0.0918040 | + | 0.889453i | ||||
\(641\) | 9.41481 | − | 29.5386i | 0.371863 | − | 1.16671i | −0.567381 | − | 0.823455i | \(-0.692043\pi\) |
0.939244 | − | 0.343251i | \(-0.111528\pi\) | |||||||
\(642\) | 21.3302 | − | 18.3561i | 0.841836 | − | 0.724458i | ||||
\(643\) | 4.26752 | − | 5.67055i | 0.168295 | − | 0.223625i | −0.707001 | − | 0.707213i | \(-0.749952\pi\) |
0.875296 | + | 0.483588i | \(0.160667\pi\) | |||||||
\(644\) | 5.59578 | − | 2.31785i | 0.220505 | − | 0.0913360i | ||||
\(645\) | 30.2081 | − | 0.835378i | 1.18944 | − | 0.0328930i | ||||
\(646\) | 1.57310 | + | 1.63000i | 0.0618929 | + | 0.0641315i | ||||
\(647\) | 3.71932 | − | 7.72325i | 0.146222 | − | 0.303632i | −0.814975 | − | 0.579496i | \(-0.803249\pi\) |
0.961197 | + | 0.275864i | \(0.0889638\pi\) | |||||||
\(648\) | 11.7340 | − | 3.86120i | 0.460957 | − | 0.151682i | ||||
\(649\) | 0.000945687 | 0.00183055i | 3.71215e−5 | 7.18556e-5i | ||||||
\(650\) | −5.76741 | − | 10.9125i | −0.226217 | − | 0.428023i | ||||
\(651\) | −45.7888 | + | 3.00115i | −1.79460 | + | 0.117625i | ||||
\(652\) | −0.0140570 | + | 0.0123277i | −0.000550515 | + | 0.000482789i | ||||
\(653\) | −2.09819 | + | 5.49669i | −0.0821087 | + | 0.215102i | −0.969092 | − | 0.246700i | \(-0.920654\pi\) |
0.886983 | + | 0.461802i | \(0.152797\pi\) | |||||||
\(654\) | 42.5287 | − | 70.5802i | 1.66300 | − | 2.75990i | ||||
\(655\) | −11.9076 | − | 25.9571i | −0.465268 | − | 1.01423i | ||||
\(656\) | 32.9649 | − | 10.5069i | 1.28706 | − | 0.410224i | ||||
\(657\) | −5.11032 | + | 5.20679i | −0.199373 | + | 0.203136i | ||||
\(658\) | −12.8689 | + | 54.0479i | −0.501682 | + | 2.10701i | ||||
\(659\) | −30.7346 | + | 35.7143i | −1.19725 | + | 1.39123i | −0.297561 | + | 0.954703i | \(0.596173\pi\) |
−0.899691 | + | 0.436528i | \(0.856208\pi\) | |||||||
\(660\) | 0.00327416 | + | 0.00210024i | 0.000127446 | + | 8.17519e-5i | ||||
\(661\) | 43.6090 | − | 7.40946i | 1.69619 | − | 0.288195i | 0.762689 | − | 0.646765i | \(-0.223879\pi\) |
0.933503 | + | 0.358570i | \(0.116736\pi\) | |||||||
\(662\) | 14.0778 | + | 45.6391i | 0.547149 | + | 1.77381i | ||||
\(663\) | 1.22366 | − | 45.1239i | 0.0475232 | − | 1.75247i | ||||
\(664\) | −1.29931 | − | 8.62035i | −0.0504229 | − | 0.334534i | ||||
\(665\) | 1.78968 | − | 1.72396i | 0.0694006 | − | 0.0668524i | ||||
\(666\) | −0.369553 | + | 0.0953272i | −0.0143199 | + | 0.00369385i | ||||
\(667\) | 47.1689 | + | 16.5051i | 1.82639 | + | 0.639080i | ||||
\(668\) | −3.45642 | + | 4.96917i | −0.133733 | + | 0.192263i | ||||
\(669\) | 14.4460 | − | 5.20699i | 0.558515 | − | 0.201314i | ||||
\(670\) | 10.5734 | − | 4.26426i | 0.408485 | − | 0.164743i | ||||
\(671\) | 0.0149368 | + | 0.00140068i | 0.000576630 | + | 5.40725e-5i | ||||
\(672\) | 12.7316 | + | 9.03354i | 0.491132 | + | 0.348477i | ||||
\(673\) | 4.40638 | + | 6.33489i | 0.169853 | + | 0.244192i | 0.896732 | − | 0.442574i | \(-0.145935\pi\) |
−0.726879 | + | 0.686766i | \(0.759030\pi\) | |||||||
\(674\) | −14.1483 | − | 50.8938i | −0.544971 | − | 1.96036i | ||||
\(675\) | 5.40888 | + | 1.28787i | 0.208188 | + | 0.0495700i | ||||
\(676\) | −1.04622 | − | 0.197956i | −0.0402393 | − | 0.00761368i | ||||
\(677\) | 10.6193 | − | 8.96718i | 0.408132 | − | 0.344637i | −0.417668 | − | 0.908600i | \(-0.637152\pi\) |
0.825800 | + | 0.563963i | \(0.190724\pi\) | |||||||
\(678\) | 13.6265 | + | 5.05605i | 0.523323 | + | 0.194176i | ||||
\(679\) | 50.1292 | + | 7.55576i | 1.92378 | + | 0.289964i | ||||
\(680\) | 17.1766 | − | 7.32271i | 0.658691 | − | 0.280813i | ||||
\(681\) | −8.74368 | − | 15.1445i | −0.335059 | − | 0.580339i | ||||
\(682\) | 0.0208154 | + | 0.00274041i | 0.000797065 | + | 0.000104936i | ||||
\(683\) | −28.1334 | − | 15.2072i | −1.07650 | − | 0.581886i | −0.162128 | − | 0.986770i | \(-0.551836\pi\) |
−0.914368 | + | 0.404884i | \(0.867312\pi\) | |||||||
\(684\) | −0.0441350 | + | 0.391709i | −0.00168754 | + | 0.0149774i | ||||
\(685\) | −30.4115 | + | 17.1810i | −1.16196 | + | 0.656451i | ||||
\(686\) | −7.99270 | − | 2.06174i | −0.305163 | − | 0.0787175i | ||||
\(687\) | 35.2447 | + | 23.5498i | 1.34467 | + | 0.898480i | ||||
\(688\) | −28.5829 | − | 6.25534i | −1.08971 | − | 0.238483i | ||||
\(689\) | 17.3273 | + | 7.17720i | 0.660118 | + | 0.273430i | ||||
\(690\) | 34.6089 | − | 20.4153i | 1.31754 | − | 0.777197i | ||||
\(691\) | −5.91340 | − | 48.4102i | −0.224956 | − | 1.84161i | −0.483173 | − | 0.875525i | \(-0.660516\pi\) |
0.258216 | − | 0.966087i | \(-0.416865\pi\) | |||||||
\(692\) | −1.63643 | − | 0.521577i | −0.0622077 | − | 0.0198274i | ||||
\(693\) | −0.0445278 | + | 0.0235336i | −0.00169147 | + | 0.000893968i | ||||
\(694\) | 12.8391 | + | 11.2596i | 0.487365 | + | 0.427408i | ||||
\(695\) | −17.6786 | − | 13.5652i | −0.670586 | − | 0.514559i | ||||
\(696\) | 13.3074 | + | 58.3036i | 0.504417 | + | 2.20999i | ||||
\(697\) | −23.2526 | − | 21.9421i | −0.880755 | − | 0.831117i | ||||
\(698\) | −3.83817 | − | 3.56130i | −0.145277 | − | 0.134797i | ||||
\(699\) | 6.03068 | − | 20.9329i | 0.228101 | − | 0.791757i | ||||
\(700\) | −0.813843 | − | 1.91398i | −0.0307604 | − | 0.0723415i | ||||
\(701\) | 0.274077 | − | 7.32485i | 0.0103517 | − | 0.276656i | −0.984505 | − | 0.175359i | \(-0.943891\pi\) |
0.994856 | − | 0.101297i | \(-0.0322991\pi\) | |||||||
\(702\) | 13.6670 | − | 10.6915i | 0.515826 | − | 0.403526i | ||||
\(703\) | 0.00403397 | − | 0.0224680i | 0.000152144 | − | 0.000847398i | ||||
\(704\) | 0.0145093 | + | 0.0153470i | 0.000546839 | + | 0.000578411i | ||||
\(705\) | −4.04655 | + | 43.1525i | −0.152402 | + | 1.62522i | ||||
\(706\) | 6.27110 | − | 4.10593i | 0.236016 | − | 0.154529i | ||||
\(707\) | 32.7152 | − | 69.5909i | 1.23038 | − | 2.61724i | ||||
\(708\) | −0.248627 | − | 0.387595i | −0.00934396 | − | 0.0145667i | ||||
\(709\) | −9.76787 | + | 16.5589i | −0.366840 | + | 0.621884i | −0.986648 | − | 0.162870i | \(-0.947925\pi\) |
0.619808 | + | 0.784754i | \(0.287211\pi\) | |||||||
\(710\) | −4.82767 | + | 13.7967i | −0.181179 | + | 0.517781i | ||||
\(711\) | −29.0006 | + | 5.20683i | −1.08761 | + | 0.195272i | ||||
\(712\) | −13.2740 | − | 22.0294i | −0.497465 | − | 0.825587i | ||||
\(713\) | 14.3660 | − | 21.0710i | 0.538011 | − | 0.789117i | ||||
\(714\) | 7.18212 | − | 64.2854i | 0.268784 | − | 2.40582i | ||||
\(715\) | 0.0220882 | + | 0.00504148i | 0.000826051 | + | 0.000188541i | ||||
\(716\) | 2.16109 | − | 0.0404171i | 0.0807639 | − | 0.00151046i | ||||
\(717\) | 25.4195 | + | 3.10504i | 0.949309 | + | 0.115960i | ||||
\(718\) | 4.89225 | + | 0.183055i | 0.182577 | + | 0.00683155i | ||||
\(719\) | 18.5382 | + | 7.47646i | 0.691356 | + | 0.278825i | 0.692754 | − | 0.721174i | \(-0.256397\pi\) |
−0.00139747 | + | 0.999999i | \(0.500445\pi\) | |||||||
\(720\) | 27.8797 | + | 14.4030i | 1.03902 | + | 0.536768i | ||||
\(721\) | 2.85342 | + | 11.9840i | 0.106267 | + | 0.446308i | ||||
\(722\) | 24.3287 | + | 14.6595i | 0.905419 | + | 0.545568i | ||||
\(723\) | 1.92592 | − | 11.3352i | 0.0716259 | − | 0.421560i | ||||
\(724\) | 0.170946 | − | 2.60813i | 0.00635315 | − | 0.0969303i | ||||
\(725\) | 5.51591 | − | 16.2493i | 0.204856 | − | 0.603485i | ||||
\(726\) | −42.1451 | + | 12.5697i | −1.56415 | + | 0.466506i | ||||
\(727\) | −24.3348 | − | 2.74188i | −0.902530 | − | 0.101691i | −0.351511 | − | 0.936184i | \(-0.614332\pi\) |
−0.551018 | + | 0.834493i | \(0.685761\pi\) | |||||||
\(728\) | 40.6741 | + | 11.3072i | 1.50748 | + | 0.419074i | ||||
\(729\) | 2.32457 | − | 41.3928i | 0.0860951 | − | 1.53307i | ||||
\(730\) | 4.70291 | 0.174063 | ||||||||
\(731\) | 7.74127 | + | 25.9051i | 0.286321 | + | 0.958134i | ||||
\(732\) | −3.35291 | −0.123927 | ||||||||
\(733\) | −0.408519 | + | 7.27436i | −0.0150890 | + | 0.268684i | 0.981803 | + | 0.189903i | \(0.0608173\pi\) |
−0.996892 | + | 0.0787817i | \(0.974897\pi\) | |||||||
\(734\) | 35.9787 | + | 10.0019i | 1.32800 | + | 0.369178i | ||||
\(735\) | −38.4551 | − | 4.33285i | −1.41844 | − | 0.159820i | ||||
\(736\) | −8.31405 | + | 2.47965i | −0.306460 | + | 0.0914013i | ||||
\(737\) | 0.00444254 | − | 0.0130873i | 0.000163643 | − | 0.000482077i | ||||
\(738\) | 3.09428 | − | 47.2096i | 0.113902 | − | 1.73781i | ||||
\(739\) | −6.54702 | + | 38.5330i | −0.240836 | + | 1.41746i | 0.564887 | + | 0.825168i | \(0.308920\pi\) |
−0.805724 | + | 0.592292i | \(0.798223\pi\) | |||||||
\(740\) | 0.0247789 | + | 0.0149307i | 0.000910889 | + | 0.000548864i | ||||
\(741\) | 0.925445 | + | 3.88676i | 0.0339971 | + | 0.142784i | ||||
\(742\) | 23.8773 | + | 12.3353i | 0.876565 | + | 0.452844i | ||||
\(743\) | −19.9611 | − | 8.05032i | −0.732300 | − | 0.295338i | −0.0225059 | − | 0.999747i | \(-0.507164\pi\) |
−0.709794 | + | 0.704409i | \(0.751212\pi\) | |||||||
\(744\) | 30.4974 | + | 1.14113i | 1.11809 | + | 0.0418359i | ||||
\(745\) | 40.7961 | + | 4.98332i | 1.49465 | + | 0.182575i | ||||
\(746\) | 17.8482 | − | 0.333799i | 0.653467 | − | 0.0122212i | ||||
\(747\) | −13.1986 | − | 3.01249i | −0.482911 | − | 0.110221i | ||||
\(748\) | −0.00105374 | + | 0.00331684i | −3.85287e−5 | + | 0.000121276i | ||||
\(749\) | 15.5582 | − | 22.8197i | 0.568485 | − | 0.833814i | ||||
\(750\) | −25.0249 | − | 41.5310i | −0.913779 | − | 1.51650i | ||||
\(751\) | −11.1939 | + | 2.00978i | −0.408471 | + | 0.0733378i | −0.377106 | − | 0.926170i | \(-0.623081\pi\) |
−0.0313650 | + | 0.999508i | \(0.509985\pi\) | |||||||
\(752\) | 13.8600 | − | 39.6096i | 0.505422 | − | 1.44441i | ||||
\(753\) | −7.03653 | + | 11.9286i | −0.256425 | + | 0.434704i | ||||
\(754\) | −28.9149 | − | 45.0766i | −1.05302 | − | 1.64159i | ||||
\(755\) | 11.8428 | − | 25.1917i | 0.431003 | − | 0.916818i | ||||
\(756\) | 2.44622 | − | 1.60163i | 0.0889680 | − | 0.0582507i | ||||
\(757\) | −2.38152 | + | 25.3966i | −0.0865579 | + | 0.923056i | 0.838920 | + | 0.544255i | \(0.183187\pi\) |
−0.925478 | + | 0.378801i | \(0.876336\pi\) | |||||||
\(758\) | −37.0709 | − | 39.2111i | −1.34647 | − | 1.42421i | ||||
\(759\) | 0.00860792 | − | 0.0479437i | 0.000312448 | − | 0.00174025i | ||||
\(760\) | −1.30171 | + | 1.01832i | −0.0472181 | + | 0.0369382i | ||||
\(761\) | −1.34451 | + | 35.9329i | −0.0487386 | + | 1.30257i | 0.733544 | + | 0.679642i | \(0.237865\pi\) |
−0.782283 | + | 0.622924i | \(0.785945\pi\) | |||||||
\(762\) | −0.918657 | − | 2.16048i | −0.0332794 | − | 0.0782658i | ||||
\(763\) | 22.3886 | − | 77.7126i | 0.810523 | − | 2.81339i | ||||
\(764\) | 4.09512 | + | 3.79972i | 0.148156 | + | 0.137469i | ||||
\(765\) | −0.840462 | − | 28.9847i | −0.0303870 | − | 1.04794i | ||||
\(766\) | 3.09121 | + | 13.5435i | 0.111690 | + | 0.489346i | ||||
\(767\) | −2.12780 | − | 1.63272i | −0.0768306 | − | 0.0589542i | ||||
\(768\) | −12.5549 | − | 11.0104i | −0.453037 | − | 0.397303i | ||||
\(769\) | −10.7592 | + | 5.68641i | −0.387987 | + | 0.205057i | −0.649875 | − | 0.760041i | \(-0.725179\pi\) |
0.261888 | + | 0.965098i | \(0.415655\pi\) | |||||||
\(770\) | 0.0309326 | + | 0.00985912i | 0.00111474 | + | 0.000355298i | ||||
\(771\) | 3.10907 | + | 25.4525i | 0.111971 | + | 0.916651i | ||||
\(772\) | 1.08092 | − | 0.637617i | 0.0389031 | − | 0.0229483i | ||||
\(773\) | 45.0221 | + | 18.6488i | 1.61933 | + | 0.670749i | 0.993977 | − | 0.109591i | \(-0.0349541\pi\) |
0.625355 | + | 0.780340i | \(0.284954\pi\) | |||||||
\(774\) | −22.2416 | + | 33.2579i | −0.799457 | + | 1.19543i | ||||
\(775\) | −7.28127 | − | 4.86519i | −0.261551 | − | 0.174763i | ||||
\(776\) | −32.6480 | − | 8.42165i | −1.17200 | − | 0.302319i | ||||
\(777\) | −0.567526 | + | 0.320624i | −0.0203599 | + | 0.0115023i | ||||
\(778\) | −3.81712 | + | 33.8778i | −0.136850 | + | 1.21458i | ||||
\(779\) | 2.48937 | + | 1.34560i | 0.0891909 | + | 0.0482110i | ||||
\(780\) | −5.02016 | − | 0.660917i | −0.179751 | − | 0.0236646i | ||||
\(781\) | 0.00885972 | + | 0.0153455i | 0.000317026 | + | 0.000549105i | ||||
\(782\) | 25.6805 | + | 25.1575i | 0.918334 | + | 0.899629i | ||||
\(783\) | 23.8548 | + | 3.59554i | 0.852502 | + | 0.128494i | ||||
\(784\) | 35.1285 | + | 13.0343i | 1.25459 | + | 0.465509i | ||||
\(785\) | 4.60335 | − | 3.88718i | 0.164300 | − | 0.138739i | ||||
\(786\) | 64.6508 | + | 12.2326i | 2.30602 | + | 0.436322i | ||||
\(787\) | −26.5036 | − | 6.31055i | −0.944751 | − | 0.224947i | −0.269889 | − | 0.962891i | \(-0.586987\pi\) |
−0.674862 | + | 0.737944i | \(0.735797\pi\) | |||||||
\(788\) | 0.873218 | + | 3.14112i | 0.0311071 | + | 0.111898i | ||||
\(789\) | 19.0887 | + | 27.4432i | 0.679577 | + | 0.977004i | ||||
\(790\) | 15.4902 | + | 10.9909i | 0.551117 | + | 0.391038i | ||||
\(791\) | 14.2022 | + | 1.33178i | 0.504971 | + | 0.0473527i | ||||
\(792\) | 0.0310652 | − | 0.0125286i | 0.00110385 | − | 0.000445185i | ||||
\(793\) | −18.3717 | + | 6.62198i | −0.652398 | + | 0.235153i | ||||
\(794\) | 30.0570 | − | 43.2119i | 1.06668 | − | 1.53353i | ||||
\(795\) | 19.7892 | + | 6.92453i | 0.701849 | + | 0.245588i | ||||
\(796\) | −2.30801 | + | 0.595359i | −0.0818054 | + | 0.0211019i | ||||
\(797\) | −32.7993 | + | 31.5950i | −1.16181 | + | 1.11915i | −0.170811 | + | 0.985304i | \(0.554639\pi\) |
−0.991002 | + | 0.133850i | \(0.957266\pi\) | |||||||
\(798\) | 0.853318 | + | 5.66140i | 0.0302071 | + | 0.200411i | ||||
\(799\) | −38.2231 | + | 6.53129i | −1.35224 | + | 0.231061i | ||||
\(800\) | 0.878130 | + | 2.84683i | 0.0310466 | + | 0.100651i | ||||
\(801\) | −39.3764 | + | 6.69031i | −1.39130 | + | 0.236391i | ||||
\(802\) | −44.3811 | − | 28.4687i | −1.56715 | − | 1.00527i | ||||
\(803\) | 0.00371877 | − | 0.00432129i | 0.000131233 | − | 0.000152495i | ||||
\(804\) | −0.715455 | + | 3.00483i | −0.0252321 | + | 0.105972i | ||||
\(805\) | 27.6233 | − | 28.1448i | 0.973595 | − | 0.991973i | ||||
\(806\) | −26.0388 | + | 8.29931i | −0.917177 | + | 0.292331i | ||||
\(807\) | −3.51315 | − | 7.65824i | −0.123669 | − | 0.269583i | ||||
\(808\) | −26.3953 | + | 43.8053i | −0.928583 | + | 1.54107i | ||||
\(809\) | −12.1388 | + | 31.8003i | −0.426778 | + | 1.11804i | 0.535155 | + | 0.844754i | \(0.320253\pi\) |
−0.961933 | + | 0.273285i | \(0.911890\pi\) | |||||||
\(810\) | −9.29727 | + | 8.15348i | −0.326673 | + | 0.286484i | ||||
\(811\) | 40.8099 | − | 2.67482i | 1.43303 | − | 0.0939258i | 0.670995 | − | 0.741462i | \(-0.265867\pi\) |
0.762035 | + | 0.647536i | \(0.224200\pi\) | |||||||
\(812\) | −4.21662 | − | 7.97824i | −0.147974 | − | 0.279981i | ||||
\(813\) | −18.1713 | − | 35.1740i | −0.637296 | − | 1.23361i | ||||
\(814\) | 0.000283295 | 0 | 9.32209e-5i | 9.92948e−6 | 0 | 3.26739e-6i | ||||
\(815\) | −0.0528185 | + | 0.109679i | −0.00185015 | + | 0.00384188i | ||||
\(816\) | −10.3813 | + | 47.7422i | −0.363416 | + | 1.67131i | ||||
\(817\) | −1.25337 | − | 2.03859i | −0.0438497 | − | 0.0713211i | ||||
\(818\) | 14.2756 | − | 5.91313i | 0.499134 | − | 0.206748i | ||||
\(819\) | 39.4220 | − | 52.3827i | 1.37752 | − | 1.83040i | ||||
\(820\) | −2.71826 | + | 2.33925i | −0.0949257 | + | 0.0816902i | ||||
\(821\) | 0.705145 | − | 2.21237i | 0.0246097 | − | 0.0772121i | −0.939688 | − | 0.342033i | \(-0.888884\pi\) |
0.964298 | + | 0.264821i | \(0.0853130\pi\) | |||||||
\(822\) | 8.26245 | − | 80.0517i | 0.288186 | − | 2.79212i | ||||
\(823\) | −21.4061 | − | 43.4073i | −0.746170 | − | 1.51308i | −0.854775 | − | 0.518999i | \(-0.826305\pi\) |
0.108605 | − | 0.994085i | \(-0.465362\pi\) | |||||||
\(824\) | −1.06943 | − | 8.12310i | −0.0372553 | − | 0.282982i | ||||
\(825\) | −0.0164900 | − | 0.00280177i | −0.000574109 | − | 9.75450e-5i | ||||
\(826\) | −2.84166 | − | 2.58765i | −0.0988739 | − | 0.0900360i | ||||
\(827\) | −4.21887 | + | 6.85575i | −0.146704 | + | 0.238398i | −0.916631 | − | 0.399735i | \(-0.869102\pi\) |
0.769927 | + | 0.638132i | \(0.220293\pi\) | |||||||
\(828\) | −0.525793 | + | 6.23354i | −0.0182726 | + | 0.216631i | ||||
\(829\) | −6.46757 | + | 34.1819i | −0.224628 | + | 1.18719i | 0.670683 | + | 0.741744i | \(0.266001\pi\) |
−0.895311 | + | 0.445443i | \(0.853046\pi\) | |||||||
\(830\) | 4.57370 | + | 7.43237i | 0.158755 | + | 0.257981i | ||||
\(831\) | 27.8380 | − | 14.0533i | 0.965690 | − | 0.487503i | ||||
\(832\) | −25.5915 | − | 10.0439i | −0.887224 | − | 0.348210i | ||||
\(833\) | −5.19240 | − | 34.2313i | −0.179906 | − | 1.18604i | ||||
\(834\) | 49.0600 | − | 15.1330i | 1.69881 | − | 0.524013i | ||||
\(835\) | −8.04981 | + | 38.5803i | −0.278575 | + | 1.33513i | ||||
\(836\) | 1.43954e−5 | 0 | 0.000307699i | 4.97874e−7 | 0 | 1.06420e-5i | ||||
\(837\) | 4.92312 | − | 11.2839i | 0.170168 | − | 0.390029i | ||||
\(838\) | −31.7484 | − | 18.7279i | −1.09673 | − | 0.646945i | ||||
\(839\) | −33.1876 | − | 44.0986i | −1.14576 | − | 1.52245i | −0.815681 | − | 0.578501i | \(-0.803638\pi\) |
−0.330082 | − | 0.943952i | \(-0.607076\pi\) | |||||||
\(840\) | 46.1058 | + | 10.0707i | 1.59080 | + | 0.347474i | ||||
\(841\) | 10.9414 | − | 44.1179i | 0.377290 | − | 1.52131i | ||||
\(842\) | 9.28108 | + | 14.1753i | 0.319847 | + | 0.488512i | ||||
\(843\) | −4.50069 | + | 15.0904i | −0.155012 | + | 0.519740i | ||||
\(844\) | −0.139850 | + | 4.98446i | −0.00481385 | + | 0.171572i | ||||
\(845\) | −6.77307 | + | 1.47942i | −0.233001 | + | 0.0508937i | ||||
\(846\) | −43.4946 | − | 37.4301i | −1.49537 | − | 1.28687i | ||||
\(847\) | −36.7605 | + | 22.6215i | −1.26311 | + | 0.777285i | ||||
\(848\) | −16.9831 | − | 11.1195i | −0.583201 | − | 0.381844i | ||||
\(849\) | −14.1167 | + | 17.7018i | −0.484486 | + | 0.607526i | ||||
\(850\) | 8.55585 | − | 8.89868i | 0.293463 | − | 0.305222i | ||||
\(851\) | 0.0539928 | − | 0.358219i | 0.00185085 | − | 0.0122796i | ||||
\(852\) | −2.29163 | − | 3.22975i | −0.0785098 | − | 0.110649i | ||||
\(853\) | −2.34564 | − | 6.91002i | −0.0803130 | − | 0.236595i | 0.899355 | − | 0.437219i | \(-0.144036\pi\) |
−0.979668 | + | 0.200624i | \(0.935703\pi\) | |||||||
\(854\) | −27.0306 | + | 7.24284i | −0.924970 | + | 0.247845i | ||||
\(855\) | 0.733536 | + | 2.45948i | 0.0250864 | + | 0.0841123i | ||||
\(856\) | −11.8510 | + | 14.0345i | −0.405060 | + | 0.479688i | ||||
\(857\) | −43.2768 | − | 33.8550i | −1.47831 | − | 1.15647i | −0.951971 | − | 0.306189i | \(-0.900946\pi\) |
−0.526337 | − | 0.850276i | \(-0.676435\pi\) | |||||||
\(858\) | −0.0389225 | + | 0.0347833i | −0.00132879 | + | 0.00118748i | ||||
\(859\) | 3.08988 | − | 7.45962i | 0.105425 | − | 0.254519i | −0.862360 | − | 0.506295i | \(-0.831015\pi\) |
0.967786 | + | 0.251776i | \(0.0810147\pi\) | |||||||
\(860\) | 2.98014 | − | 0.562629i | 0.101622 | − | 0.0191855i | ||||
\(861\) | −15.7641 | − | 79.2512i | −0.537237 | − | 2.70088i | ||||
\(862\) | 3.75527 | + | 26.5998i | 0.127905 | + | 0.905994i | ||||
\(863\) | −6.62547 | − | 7.69894i | −0.225534 | − | 0.262075i | 0.633792 | − | 0.773503i | \(-0.281497\pi\) |
−0.859326 | + | 0.511429i | \(0.829116\pi\) | |||||||
\(864\) | −3.72105 | + | 1.92234i | −0.126593 | + | 0.0653993i | ||||
\(865\) | −11.1340 | + | 1.04407i | −0.378566 | + | 0.0354994i | ||||
\(866\) | −24.4822 | − | 14.1348i | −0.831938 | − | 0.480320i | ||||
\(867\) | 43.2394 | − | 12.9846i | 1.46849 | − | 0.440979i | ||||
\(868\) | −4.48966 | + | 1.02474i | −0.152389 | + | 0.0347818i | ||||
\(869\) | 0.0223477 | − | 0.00554233i | 0.000758094 | − | 0.000188011i | ||||
\(870\) | −35.0977 | − | 48.4984i | −1.18992 | − | 1.64425i | ||||
\(871\) | 2.01431 | + | 17.8775i | 0.0682521 | + | 0.605754i | ||||
\(872\) | −20.1181 | + | 49.8835i | −0.681285 | + | 1.68927i | ||||
\(873\) | −30.6971 | + | 42.4174i | −1.03894 | + | 1.43561i | ||||
\(874\) | −2.77040 | − | 1.56514i | −0.0937101 | − | 0.0529415i | ||||
\(875\) | −34.2729 | − | 33.0145i | −1.15864 | − | 1.11609i | ||||
\(876\) | −0.737317 | + | 1.03915i | −0.0249116 | + | 0.0351096i | ||||
\(877\) | 44.9213 | + | 13.3977i | 1.51688 | + | 0.452408i | 0.933135 | − | 0.359526i | \(-0.117062\pi\) |
0.583748 | + | 0.811935i | \(0.301585\pi\) | |||||||
\(878\) | −27.2080 | − | 11.5691i | −0.918226 | − | 0.390440i | ||||
\(879\) | 18.1757 | + | 19.9599i | 0.613052 | + | 0.673230i | ||||
\(880\) | −0.0224759 | − | 0.00980614i | −0.000757663 | − | 0.000330565i | ||||
\(881\) | −7.58149 | − | 29.3910i | −0.255427 | − | 0.990209i | −0.959869 | − | 0.280448i | \(-0.909517\pi\) |
0.704442 | − | 0.709761i | \(-0.251197\pi\) | |||||||
\(882\) | 34.1404 | − | 38.2032i | 1.14957 | − | 1.28637i | ||||
\(883\) | 26.5338 | − | 10.4138i | 0.892934 | − | 0.350451i | 0.125889 | − | 0.992044i | \(-0.459822\pi\) |
0.767045 | + | 0.641594i | \(0.221726\pi\) | |||||||
\(884\) | −0.595526 | − | 4.49089i | −0.0200297 | − | 0.151045i | ||||
\(885\) | −2.47722 | − | 1.68894i | −0.0832707 | − | 0.0567730i | ||||
\(886\) | 18.5565 | + | 22.3968i | 0.623417 | + | 0.752435i | ||||
\(887\) | −17.5185 | − | 7.83902i | −0.588214 | − | 0.263209i | 0.0925545 | − | 0.995708i | \(-0.470497\pi\) |
−0.680768 | + | 0.732499i | \(0.738354\pi\) | |||||||
\(888\) | 0.397351 | − | 0.173363i | 0.0133342 | − | 0.00581767i | ||||
\(889\) | −1.41968 | − | 1.81477i | −0.0476144 | − | 0.0608654i | ||||
\(890\) | 20.8577 | + | 15.0945i | 0.699152 | + | 0.505969i | ||||
\(891\) | 0.000140161 | 0.0149901i | 4.69557e−6 | 0.000502187i | ||||||
\(892\) | 1.34878 | − | 0.745447i | 0.0451606 | − | 0.0249594i | ||||
\(893\) | 3.11960 | − | 1.43109i | 0.104394 | − | 0.0478896i | ||||
\(894\) | −63.7558 | + | 70.0141i | −2.13231 | + | 2.34162i | ||||
\(895\) | 12.8458 | − | 5.74814i | 0.429389 | − | 0.192139i | ||||
\(896\) | −45.8766 | − | 22.6238i | −1.53263 | − | 0.755809i | ||||
\(897\) | 16.4108 | + | 61.2460i | 0.547941 | + | 2.04494i | ||||
\(898\) | −23.2631 | + | 43.0371i | −0.776301 | + | 1.43617i | ||||
\(899\) | −33.2546 | − | 18.3792i | −1.10910 | − | 0.612980i | ||||
\(900\) | 2.14209 | + | 0.160528i | 0.0714032 | + | 0.00535093i | ||||
\(901\) | −1.38420 | + | 18.7065i | −0.0461144 | + | 0.623203i | ||||
\(902\) | 0.0369709i | 0.00123099i | ||||||||
\(903\) | −21.9913 | + | 64.6985i | −0.731823 | + | 2.15303i | ||||
\(904\) | −9.30479 | − | 1.85084i | −0.309473 | − | 0.0615579i | ||||
\(905\) | −5.62064 | − | 16.0629i | −0.186836 | − | 0.533948i | ||||
\(906\) | 31.5470 | + | 55.8403i | 1.04808 | + | 1.85517i | ||||
\(907\) | −22.7152 | − | 19.1813i | −0.754245 | − | 0.636903i | 0.183979 | − | 0.982930i | \(-0.441102\pi\) |
−0.938225 | + | 0.346027i | \(0.887531\pi\) | |||||||
\(908\) | −1.10700 | − | 1.36182i | −0.0367372 | − | 0.0451936i | ||||
\(909\) | 48.3489 | + | 63.0096i | 1.60363 | + | 2.08990i | ||||
\(910\) | −41.8995 | + | 5.51617i | −1.38895 | + | 0.182859i | ||||
\(911\) | 16.1522 | + | 6.16561i | 0.535146 | + | 0.204276i | 0.609255 | − | 0.792974i | \(-0.291469\pi\) |
−0.0741093 | + | 0.997250i | \(0.523611\pi\) | |||||||
\(912\) | −0.202094 | − | 4.31972i | −0.00669199 | − | 0.143040i | ||||
\(913\) | 0.0104458 | + | 0.00167449i | 0.000345707 | + | 5.54175e-5i | ||||
\(914\) | −60.3436 | + | 6.79909i | −1.99599 | + | 0.224894i | ||||
\(915\) | −20.0899 | + | 8.54243i | −0.664151 | + | 0.282404i | ||||
\(916\) | 3.86658 | + | 1.77376i | 0.127756 | + | 0.0586067i | ||||
\(917\) | 64.3959 | − | 4.82580i | 2.12654 | − | 0.159362i | ||||
\(918\) | 14.4388 | + | 9.62813i | 0.476553 | + | 0.317776i | ||||
\(919\) | −4.86075 | + | 21.2963i | −0.160341 | + | 0.702501i | 0.829284 | + | 0.558827i | \(0.188749\pi\) |
−0.989625 | + | 0.143673i | \(0.954109\pi\) | |||||||
\(920\) | −20.1966 | + | 16.7335i | −0.665861 | + | 0.551688i | ||||
\(921\) | 12.8644 | − | 12.6261i | 0.423896 | − | 0.416043i | ||||
\(922\) | 35.1599 | + | 25.9492i | 1.15793 | + | 0.854592i | ||||
\(923\) | −18.9353 | − | 13.1709i | −0.623263 | − | 0.433525i | ||||
\(924\) | −0.00702804 | + | 0.00528914i | −0.000231205 | + | 0.000174000i | ||||
\(925\) | −0.123175 | − | 0.0173894i | −0.00404996 | − | 0.000571759i | ||||
\(926\) | 21.4282 | + | 0.400753i | 0.704174 | + | 0.0131695i | ||||
\(927\) | −12.3494 | − | 3.06270i | −0.405607 | − | 0.100592i | ||||
\(928\) | 4.83476 | + | 11.9880i | 0.158709 | + | 0.393524i | ||||
\(929\) | −25.3056 | + | 13.6786i | −0.830249 | + | 0.448780i | −0.834366 | − | 0.551211i | \(-0.814166\pi\) |
0.00411636 | + | 0.999992i | \(0.498690\pi\) | |||||||
\(930\) | −28.5421 | + | 10.8951i | −0.935933 | + | 0.357264i | ||||
\(931\) | 1.22547 | + | 2.80880i | 0.0401630 | + | 0.0920546i | ||||
\(932\) | 0.265082 | − | 2.17010i | 0.00868304 | − | 0.0710840i | ||||
\(933\) | −26.5842 | + | 57.9503i | −0.870327 | + | 1.89721i | ||||
\(934\) | 3.83118 | + | 5.61930i | 0.125360 | + | 0.183869i | ||||
\(935\) | 0.00213674 | + | 0.0225585i | 6.98790e−5 | + | 0.000737741i | ||||
\(936\) | −29.6573 | + | 31.9629i | −0.969378 | + | 1.04474i | ||||
\(937\) | 5.67246 | + | 22.8724i | 0.185311 | + | 0.747210i | 0.988466 | + | 0.151440i | \(0.0483911\pi\) |
−0.803155 | + | 0.595770i | \(0.796847\pi\) | |||||||
\(938\) | 0.723035 | + | 25.7700i | 0.0236079 | + | 0.841419i | ||||
\(939\) | 11.9921 | + | 3.21327i | 0.391346 | + | 0.104861i | ||||
\(940\) | 0.284483 | + | 4.34038i | 0.00927883 | + | 0.141568i | ||||
\(941\) | 40.6756 | + | 4.19829i | 1.32599 | + | 0.136860i | 0.739532 | − | 0.673121i | \(-0.235047\pi\) |
0.586455 | + | 0.809982i | \(0.300523\pi\) | |||||||
\(942\) | 1.16676 | + | 13.8326i | 0.0380152 | + | 0.450690i | ||||
\(943\) | 40.0892 | + | 20.2380i | 1.30548 | + | 0.659039i | ||||
\(944\) | 1.93434 | + | 2.16453i | 0.0629575 | + | 0.0704495i | ||||
\(945\) | 10.5766 | − | 15.8290i | 0.344057 | − | 0.514918i | ||||
\(946\) | 0.0156436 | − | 0.0270703i | 0.000508616 | − | 0.000880130i | ||||
\(947\) | 23.1056 | − | 15.4386i | 0.750830 | − | 0.501689i | −0.120302 | − | 0.992737i | \(-0.538386\pi\) |
0.871132 | + | 0.491049i | \(0.163386\pi\) | |||||||
\(948\) | −4.85707 | + | 1.69956i | −0.157750 | + | 0.0551992i | ||||
\(949\) | −1.98768 | + | 7.15004i | −0.0645229 | + | 0.232100i | ||||
\(950\) | −0.528525 | + | 0.956294i | −0.0171476 | + | 0.0310263i | ||||
\(951\) | −38.6122 | − | 11.9103i | −1.25209 | − | 0.386217i | ||||
\(952\) | 2.01277 | + | 42.1746i | 0.0652343 | + | 1.36689i | ||||
\(953\) | 28.2668 | − | 16.3199i | 0.915653 | − | 0.528652i | 0.0334071 | − | 0.999442i | \(-0.489364\pi\) |
0.882246 | + | 0.470789i | \(0.156031\pi\) | |||||||
\(954\) | −22.6381 | + | 16.0626i | −0.732937 | + | 0.520046i | ||||
\(955\) | 34.2179 | + | 12.3336i | 1.10726 | + | 0.399108i | ||||
\(956\) | 2.56821 | − | 0.0960958i | 0.0830619 | − | 0.00310796i | ||||
\(957\) | −0.0723160 | − | 0.00609978i | −0.00233764 | − | 0.000197178i | ||||
\(958\) | −27.7436 | − | 27.2295i | −0.896354 | − | 0.879747i | ||||
\(959\) | −12.5015 | − | 77.9874i | −0.403695 | − | 2.51834i | ||||
\(960\) | −29.1926 | − | 9.60611i | −0.942187 | − | 0.310036i | ||||
\(961\) | 8.05460 | − | 8.36162i | 0.259826 | − | 0.269730i | ||||
\(962\) | −0.282103 | + | 0.266705i | −0.00909537 | + | 0.00859892i | ||||
\(963\) | 13.5643 | + | 25.0941i | 0.437103 | + | 0.808647i | ||||
\(964\) | 0.0107886 | − | 1.15383i | 0.000347477 | − | 0.0371623i | ||||
\(965\) | 4.85212 | − | 6.57439i | 0.156195 | − | 0.211637i | ||||
\(966\) | 16.0565 | + | 89.4302i | 0.516609 | + | 2.87737i | ||||
\(967\) | −37.1993 | − | 33.2433i | −1.19625 | − | 1.06903i | −0.996006 | − | 0.0892858i | \(-0.971542\pi\) |
−0.200242 | − | 0.979747i | \(-0.564173\pi\) | |||||||
\(968\) | 25.8643 | − | 12.4556i | 0.831310 | − | 0.400338i | ||||
\(969\) | −3.40126 | + | 2.09746i | −0.109264 | + | 0.0673801i | ||||
\(970\) | 33.3753 | − | 5.03051i | 1.07162 | − | 0.161520i | ||||
\(971\) | −44.0689 | − | 9.19500i | −1.41424 | − | 0.295081i | −0.565872 | − | 0.824493i | \(-0.691460\pi\) |
−0.848365 | + | 0.529412i | \(0.822413\pi\) | |||||||
\(972\) | −0.573480 | − | 5.55623i | −0.0183944 | − | 0.178216i | ||||
\(973\) | 42.6646 | − | 26.8080i | 1.36777 | − | 0.859424i | ||||
\(974\) | 10.0157 | + | 45.8537i | 0.320924 | + | 1.46925i | ||||
\(975\) | 20.9773 | − | 5.83160i | 0.671811 | − | 0.186761i | ||||
\(976\) | 20.8705 | − | 3.34557i | 0.668047 | − | 0.107089i | ||||
\(977\) | −4.06327 | − | 19.4740i | −0.129995 | − | 0.623029i | −0.993028 | − | 0.117880i | \(-0.962390\pi\) |
0.863032 | − | 0.505149i | \(-0.168562\pi\) | |||||||
\(978\) | −0.135672 | − | 0.245479i | −0.00433830 | − | 0.00784956i | ||||
\(979\) | 0.0303626 | − | 0.00722940i | 0.000970393 | − | 0.000231052i | ||||
\(980\) | −3.87945 | + | 0.181496i | −0.123925 | + | 0.00579769i | ||||
\(981\) | 60.6969 | + | 57.3838i | 1.93790 | + | 1.83212i | ||||
\(982\) | 3.80554 | − | 14.2025i | 0.121440 | − | 0.453218i | ||||
\(983\) | 9.60396 | − | 10.9512i | 0.306319 | − | 0.349290i | −0.578115 | − | 0.815955i | \(-0.696212\pi\) |
0.884434 | + | 0.466666i | \(0.154545\pi\) | |||||||
\(984\) | 5.01749 | + | 53.5066i | 0.159952 | + | 1.70573i | ||||
\(985\) | 13.2350 | + | 16.5961i | 0.421701 | + | 0.528796i | ||||
\(986\) | 33.7458 | − | 41.5934i | 1.07469 | − | 1.32460i | ||||
\(987\) | −88.3004 | − | 42.5232i | −2.81063 | − | 1.35353i | ||||
\(988\) | 0.153445 | + | 0.370449i | 0.00488174 | + | 0.0117856i | ||||
\(989\) | −20.7902 | − | 31.7814i | −0.661090 | − | 1.01059i | ||||
\(990\) | −0.0237105 | + | 0.0237105i | −0.000753569 | + | 0.000753569i | ||||
\(991\) | −8.62525 | + | 1.21768i | −0.273990 | + | 0.0386810i | −0.275441 | − | 0.961318i | \(-0.588824\pi\) |
0.00145084 | + | 0.999999i | \(0.499538\pi\) | |||||||
\(992\) | 6.54782 | − | 0.799829i | 0.207894 | − | 0.0253946i | ||||
\(993\) | −83.9525 | + | 7.08131i | −2.66415 | + | 0.224719i | ||||
\(994\) | −25.4515 | − | 21.0874i | −0.807274 | − | 0.668853i | ||||
\(995\) | −12.3123 | + | 9.44754i | −0.390326 | + | 0.299507i | ||||
\(996\) | −2.35931 | − | 0.154637i | −0.0747574 | − | 0.00489986i | ||||
\(997\) | −10.4008 | − | 23.2434i | −0.329395 | − | 0.736126i | 0.670589 | − | 0.741829i | \(-0.266042\pi\) |
−0.999984 | + | 0.00570361i | \(0.998184\pi\) | |||||||
\(998\) | 5.45687 | − | 2.56532i | 0.172734 | − | 0.0812037i | ||||
\(999\) | −0.00653903 | − | 0.174759i | −0.000206886 | − | 0.00552914i |
(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 | 731.2.bm.a.3.17 | ✓ | 6144 | |
17.6 | odd | 16 | inner | 731.2.bm.a.261.17 | yes | 6144 | |
43.29 | odd | 42 | inner | 731.2.bm.a.717.17 | yes | 6144 | |
731.244 | even | 336 | inner | 731.2.bm.a.244.17 | yes | 6144 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
731.2.bm.a.3.17 | ✓ | 6144 | 1.1 | even | 1 | trivial | |
731.2.bm.a.244.17 | yes | 6144 | 731.244 | even | 336 | inner | |
731.2.bm.a.261.17 | yes | 6144 | 17.6 | odd | 16 | inner | |
731.2.bm.a.717.17 | yes | 6144 | 43.29 | odd | 42 | inner |