Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [429,2,Mod(17,429)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(429, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([15, 27, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("429.17");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 429 = 3 \cdot 11 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 429.bm (of order \(30\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.42558224671\) |
Analytic rank: | \(0\) |
Dimension: | \(416\) |
Relative dimension: | \(52\) over \(\Q(\zeta_{30})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{30}]$ |
Embedding invariants
Embedding label | 17.9 | ||
Character | \(\chi\) | \(=\) | 429.17 |
Dual form | 429.2.bm.a.101.9 |
$q$-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 \(\left(\mathbb{Z}/429\mathbb{Z}\right)^\times\).
\(n\) | \(67\) | \(79\) | \(287\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{9}{10}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.435266 | + | 2.04776i | −0.307779 | + | 1.44799i | 0.503838 | + | 0.863798i | \(0.331921\pi\) |
−0.811617 | + | 0.584190i | \(0.801412\pi\) | |||||||
\(3\) | 1.43664 | − | 0.967498i | 0.829447 | − | 0.558585i | ||||
\(4\) | −2.17679 | − | 0.969169i | −1.08839 | − | 0.484585i | ||||
\(5\) | 0.305012 | − | 0.938731i | 0.136406 | − | 0.419813i | −0.859400 | − | 0.511303i | \(-0.829163\pi\) |
0.995806 | + | 0.0914900i | \(0.0291630\pi\) | |||||||
\(6\) | 1.35589 | + | 3.36303i | 0.553538 | + | 1.37295i | ||||
\(7\) | 0.679317 | + | 0.302451i | 0.256758 | + | 0.114316i | 0.531079 | − | 0.847322i | \(-0.321787\pi\) |
−0.274322 | + | 0.961638i | \(0.588453\pi\) | |||||||
\(8\) | 0.471041 | − | 0.648332i | 0.166538 | − | 0.229220i | ||||
\(9\) | 1.12789 | − | 2.77990i | 0.375965 | − | 0.926634i | ||||
\(10\) | 1.78954 | + | 1.03319i | 0.565901 | + | 0.326723i | ||||
\(11\) | −1.03974 | + | 3.14943i | −0.313494 | + | 0.949590i | ||||
\(12\) | −4.06494 | + | 0.713688i | −1.17345 | + | 0.206024i | ||||
\(13\) | 3.45046 | + | 1.04610i | 0.956986 | + | 0.290135i | ||||
\(14\) | −0.915032 | + | 1.25943i | −0.244553 | + | 0.336598i | ||||
\(15\) | −0.470026 | − | 1.64372i | −0.121360 | − | 0.424407i | ||||
\(16\) | −2.06620 | − | 2.29474i | −0.516549 | − | 0.573686i | ||||
\(17\) | 6.71590 | − | 1.42751i | 1.62884 | − | 0.346222i | 0.699271 | − | 0.714857i | \(-0.253508\pi\) |
0.929574 | + | 0.368636i | \(0.120175\pi\) | |||||||
\(18\) | 5.20165 | + | 3.51966i | 1.22604 | + | 0.829591i | ||||
\(19\) | −0.275988 | + | 2.62585i | −0.0633160 | + | 0.602411i | 0.916155 | + | 0.400825i | \(0.131276\pi\) |
−0.979471 | + | 0.201586i | \(0.935390\pi\) | |||||||
\(20\) | −1.57374 | + | 1.74781i | −0.351898 | + | 0.390822i | ||||
\(21\) | 1.26856 | − | 0.222723i | 0.276822 | − | 0.0486021i | ||||
\(22\) | −5.99673 | − | 3.49999i | −1.27851 | − | 0.746200i | ||||
\(23\) | 4.35028 | + | 2.51164i | 0.907097 | + | 0.523713i | 0.879496 | − | 0.475906i | \(-0.157880\pi\) |
0.0276010 | + | 0.999619i | \(0.491213\pi\) | |||||||
\(24\) | 0.0494582 | − | 1.38715i | 0.0100956 | − | 0.283152i | ||||
\(25\) | 3.25690 | + | 2.36628i | 0.651380 | + | 0.473256i | ||||
\(26\) | −3.64403 | + | 6.61040i | −0.714652 | + | 1.29641i | ||||
\(27\) | −1.06917 | − | 5.08497i | −0.205761 | − | 0.978602i | ||||
\(28\) | −1.18560 | − | 1.31675i | −0.224058 | − | 0.248842i | ||||
\(29\) | −0.218877 | − | 2.08248i | −0.0406445 | − | 0.386706i | −0.995867 | − | 0.0908193i | \(-0.971051\pi\) |
0.955223 | − | 0.295887i | \(-0.0956152\pi\) | |||||||
\(30\) | 3.57054 | − | 0.247047i | 0.651888 | − | 0.0451045i | ||||
\(31\) | −8.08995 | + | 2.62858i | −1.45300 | + | 0.472108i | −0.925923 | − | 0.377712i | \(-0.876711\pi\) |
−0.527074 | + | 0.849819i | \(0.676711\pi\) | |||||||
\(32\) | 6.98647 | − | 4.03364i | 1.23505 | − | 0.713054i | ||||
\(33\) | 1.55333 | + | 5.53057i | 0.270400 | + | 0.962748i | ||||
\(34\) | 14.3739i | 2.46511i | ||||||||
\(35\) | 0.491120 | − | 0.545444i | 0.0830144 | − | 0.0921969i | ||||
\(36\) | −5.14939 | + | 4.95814i | −0.858231 | + | 0.826357i | ||||
\(37\) | 5.35965 | − | 0.563322i | 0.881121 | − | 0.0926096i | 0.346848 | − | 0.937921i | \(-0.387252\pi\) |
0.534273 | + | 0.845312i | \(0.320585\pi\) | |||||||
\(38\) | −5.25699 | − | 1.70810i | −0.852797 | − | 0.277090i | ||||
\(39\) | 5.96918 | − | 1.83544i | 0.955834 | − | 0.293906i | ||||
\(40\) | −0.464936 | − | 0.639929i | −0.0735128 | − | 0.101182i | ||||
\(41\) | −2.78540 | − | 6.25610i | −0.435006 | − | 0.977039i | −0.989458 | − | 0.144823i | \(-0.953739\pi\) |
0.554452 | − | 0.832216i | \(-0.312928\pi\) | |||||||
\(42\) | −0.0960762 | + | 2.69465i | −0.0148249 | + | 0.415793i | ||||
\(43\) | 0.0757696 | − | 0.0437456i | 0.0115548 | − | 0.00667115i | −0.494211 | − | 0.869342i | \(-0.664543\pi\) |
0.505766 | + | 0.862671i | \(0.331210\pi\) | |||||||
\(44\) | 5.31563 | − | 5.84797i | 0.801362 | − | 0.881615i | ||||
\(45\) | −2.26556 | − | 1.90669i | −0.337729 | − | 0.284233i | ||||
\(46\) | −7.03677 | + | 7.81513i | −1.03752 | + | 1.15228i | ||||
\(47\) | −9.96177 | − | 7.23765i | −1.45307 | − | 1.05572i | −0.985101 | − | 0.171977i | \(-0.944985\pi\) |
−0.467972 | − | 0.883743i | \(-0.655015\pi\) | |||||||
\(48\) | −5.18855 | − | 1.29769i | −0.748903 | − | 0.187305i | ||||
\(49\) | −4.31392 | − | 4.79109i | −0.616274 | − | 0.684442i | ||||
\(50\) | −6.26320 | + | 5.63941i | −0.885750 | + | 0.797533i | ||||
\(51\) | 8.26725 | − | 8.54844i | 1.15765 | − | 1.19702i | ||||
\(52\) | −6.49708 | − | 5.62121i | −0.900983 | − | 0.779522i | ||||
\(53\) | −8.34878 | + | 2.71268i | −1.14679 | + | 0.372616i | −0.819934 | − | 0.572458i | \(-0.805990\pi\) |
−0.326858 | + | 0.945073i | \(0.605990\pi\) | |||||||
\(54\) | 10.8782 | + | 0.0239133i | 1.48033 | + | 0.00325419i | ||||
\(55\) | 2.63934 | + | 1.93665i | 0.355888 | + | 0.261138i | ||||
\(56\) | 0.516075 | − | 0.297956i | 0.0689634 | − | 0.0398160i | ||||
\(57\) | 2.14401 | + | 4.03943i | 0.283981 | + | 0.535036i | ||||
\(58\) | 4.35969 | + | 0.458222i | 0.572456 | + | 0.0601675i | ||||
\(59\) | −3.65468 | − | 1.62717i | −0.475799 | − | 0.211839i | 0.154804 | − | 0.987945i | \(-0.450526\pi\) |
−0.630603 | + | 0.776106i | \(0.717192\pi\) | |||||||
\(60\) | −0.569896 | + | 4.03357i | −0.0735732 | + | 0.520732i | ||||
\(61\) | −0.399817 | − | 1.88099i | −0.0511913 | − | 0.240836i | 0.945111 | − | 0.326748i | \(-0.105953\pi\) |
−0.996303 | + | 0.0859121i | \(0.972620\pi\) | |||||||
\(62\) | −1.86144 | − | 17.7104i | −0.236403 | − | 2.24923i | ||||
\(63\) | 1.60698 | − | 1.54730i | 0.202461 | − | 0.194941i | ||||
\(64\) | 3.31056 | + | 10.1889i | 0.413820 | + | 1.27361i | ||||
\(65\) | 2.03444 | − | 2.91998i | 0.252341 | − | 0.362179i | ||||
\(66\) | −12.0014 | + | 0.773593i | −1.47727 | + | 0.0952227i | ||||
\(67\) | −4.73413 | − | 2.73325i | −0.578366 | − | 0.333920i | 0.182117 | − | 0.983277i | \(-0.441705\pi\) |
−0.760484 | + | 0.649357i | \(0.775038\pi\) | |||||||
\(68\) | −16.0026 | − | 3.40146i | −1.94060 | − | 0.412487i | ||||
\(69\) | 8.67982 | − | 0.600561i | 1.04493 | − | 0.0722990i | ||||
\(70\) | 0.903173 | + | 1.24311i | 0.107950 | + | 0.148580i | ||||
\(71\) | 1.15398 | − | 0.245286i | 0.136952 | − | 0.0291101i | −0.138925 | − | 0.990303i | \(-0.544365\pi\) |
0.275878 | + | 0.961193i | \(0.411032\pi\) | |||||||
\(72\) | −1.27101 | − | 2.04070i | −0.149791 | − | 0.240498i | ||||
\(73\) | −12.7783 | + | 9.28400i | −1.49559 | + | 1.08661i | −0.523495 | + | 0.852029i | \(0.675372\pi\) |
−0.972096 | + | 0.234581i | \(0.924628\pi\) | |||||||
\(74\) | −1.17932 | + | 11.2205i | −0.137093 | + | 1.30436i | ||||
\(75\) | 6.96838 | + | 0.248454i | 0.804639 | + | 0.0286890i | ||||
\(76\) | 3.14566 | − | 5.44844i | 0.360832 | − | 0.624979i | ||||
\(77\) | −1.65886 | + | 1.82499i | −0.189045 | + | 0.207977i | ||||
\(78\) | 1.16038 | + | 13.0224i | 0.131387 | + | 1.47449i | ||||
\(79\) | −12.5020 | + | 4.06215i | −1.40659 | + | 0.457027i | −0.911314 | − | 0.411711i | \(-0.864931\pi\) |
−0.495271 | + | 0.868739i | \(0.664931\pi\) | |||||||
\(80\) | −2.78436 | + | 1.23968i | −0.311301 | + | 0.138600i | ||||
\(81\) | −6.45571 | − | 6.27087i | −0.717301 | − | 0.696764i | ||||
\(82\) | 14.0234 | − | 2.98077i | 1.54863 | − | 0.329171i | ||||
\(83\) | 8.19190 | + | 2.66171i | 0.899178 | + | 0.292161i | 0.721898 | − | 0.692000i | \(-0.243270\pi\) |
0.177280 | + | 0.984160i | \(0.443270\pi\) | |||||||
\(84\) | −2.97724 | − | 0.744627i | −0.324843 | − | 0.0812454i | ||||
\(85\) | 0.708384 | − | 6.73983i | 0.0768351 | − | 0.731037i | ||||
\(86\) | 0.0566008 | + | 0.174199i | 0.00610342 | + | 0.0187844i | ||||
\(87\) | −2.32924 | − | 2.78002i | −0.249721 | − | 0.298049i | ||||
\(88\) | 1.55212 | + | 2.15761i | 0.165456 | + | 0.230002i | ||||
\(89\) | 2.58857 | − | 4.48354i | 0.274388 | − | 0.475254i | −0.695592 | − | 0.718437i | \(-0.744858\pi\) |
0.969981 | + | 0.243182i | \(0.0781914\pi\) | |||||||
\(90\) | 4.89058 | − | 3.80941i | 0.515512 | − | 0.401547i | ||||
\(91\) | 2.02756 | + | 1.75423i | 0.212546 | + | 0.183893i | ||||
\(92\) | −7.03545 | − | 9.68347i | −0.733497 | − | 1.00957i | ||||
\(93\) | −9.07923 | + | 11.6033i | −0.941472 | + | 1.20321i | ||||
\(94\) | 19.1570 | − | 17.2491i | 1.97590 | − | 1.77910i | ||||
\(95\) | 2.38079 | + | 1.05999i | 0.244263 | + | 0.108753i | ||||
\(96\) | 6.13454 | − | 12.5543i | 0.626104 | − | 1.28132i | ||||
\(97\) | 4.95909 | + | 4.46519i | 0.503520 | + | 0.453371i | 0.881323 | − | 0.472515i | \(-0.156654\pi\) |
−0.377803 | + | 0.925886i | \(0.623320\pi\) | |||||||
\(98\) | 11.6887 | − | 6.74849i | 1.18074 | − | 0.681701i | ||||
\(99\) | 7.58240 | + | 6.44261i | 0.762060 | + | 0.647507i | ||||
\(100\) | −4.79627 | − | 8.30738i | −0.479627 | − | 0.830738i | ||||
\(101\) | −8.18378 | − | 1.73952i | −0.814317 | − | 0.173088i | −0.218115 | − | 0.975923i | \(-0.569991\pi\) |
−0.596202 | + | 0.802835i | \(0.703324\pi\) | |||||||
\(102\) | 13.9067 | + | 20.6502i | 1.37697 | + | 2.04468i | ||||
\(103\) | 12.4731 | − | 9.06223i | 1.22901 | − | 0.892928i | 0.232195 | − | 0.972669i | \(-0.425409\pi\) |
0.996816 | + | 0.0797410i | \(0.0254093\pi\) | |||||||
\(104\) | 2.30353 | − | 1.74429i | 0.225879 | − | 0.171042i | ||||
\(105\) | 0.177849 | − | 1.25877i | 0.0173563 | − | 0.122843i | ||||
\(106\) | −1.92100 | − | 18.2771i | −0.186584 | − | 1.77523i | ||||
\(107\) | −1.48992 | + | 0.663355i | −0.144036 | + | 0.0641289i | −0.477489 | − | 0.878638i | \(-0.658453\pi\) |
0.333453 | + | 0.942767i | \(0.391786\pi\) | |||||||
\(108\) | −2.60085 | + | 12.1051i | −0.250266 | + | 1.16481i | ||||
\(109\) | 19.0360 | 1.82332 | 0.911660 | − | 0.410945i | \(-0.134801\pi\) | ||||
0.911660 | + | 0.410945i | \(0.134801\pi\) | |||||||
\(110\) | −5.11462 | + | 4.56178i | −0.487660 | + | 0.434949i | ||||
\(111\) | 7.15490 | − | 5.99475i | 0.679113 | − | 0.568996i | ||||
\(112\) | −0.709554 | − | 2.18378i | −0.0670465 | − | 0.206348i | ||||
\(113\) | 2.85220 | + | 0.299778i | 0.268312 | + | 0.0282008i | 0.237729 | − | 0.971331i | \(-0.423597\pi\) |
0.0305831 | + | 0.999532i | \(0.490264\pi\) | |||||||
\(114\) | −9.20501 | + | 2.63220i | −0.862128 | + | 0.246528i | ||||
\(115\) | 3.68464 | − | 3.31766i | 0.343594 | − | 0.309374i | ||||
\(116\) | −1.54182 | + | 4.74525i | −0.143155 | + | 0.440585i | ||||
\(117\) | 6.79980 | − | 8.41205i | 0.628642 | − | 0.777695i | ||||
\(118\) | 4.92282 | − | 6.77568i | 0.453182 | − | 0.623751i | ||||
\(119\) | 4.99397 | + | 1.06150i | 0.457797 | + | 0.0973077i | ||||
\(120\) | −1.28708 | − | 0.469526i | −0.117494 | − | 0.0428617i | ||||
\(121\) | −8.83787 | − | 6.54920i | −0.803443 | − | 0.595382i | ||||
\(122\) | 4.02585 | 0.364483 | ||||||||
\(123\) | −10.0544 | − | 6.29293i | −0.906574 | − | 0.567414i | ||||
\(124\) | 20.1577 | + | 2.11866i | 1.81021 | + | 0.190261i | ||||
\(125\) | 7.20735 | − | 5.23645i | 0.644645 | − | 0.468362i | ||||
\(126\) | 2.46904 | + | 3.96421i | 0.219960 | + | 0.353160i | ||||
\(127\) | −10.0780 | + | 9.07425i | −0.894276 | + | 0.805210i | −0.981596 | − | 0.190971i | \(-0.938836\pi\) |
0.0873198 | + | 0.996180i | \(0.472170\pi\) | |||||||
\(128\) | −6.25915 | + | 0.657864i | −0.553236 | + | 0.0581475i | ||||
\(129\) | 0.0665302 | − | 0.136154i | 0.00585766 | − | 0.0119877i | ||||
\(130\) | 5.09391 | + | 5.43701i | 0.446766 | + | 0.476857i | ||||
\(131\) | 11.8253 | 1.03318 | 0.516589 | − | 0.856234i | \(-0.327202\pi\) | ||||
0.516589 | + | 0.856234i | \(0.327202\pi\) | |||||||
\(132\) | 1.97878 | − | 13.5443i | 0.172230 | − | 1.17888i | ||||
\(133\) | −0.981675 | + | 1.70031i | −0.0851220 | + | 0.147436i | ||||
\(134\) | 7.65766 | − | 8.50470i | 0.661521 | − | 0.734694i | ||||
\(135\) | −5.09952 | − | 0.547318i | −0.438897 | − | 0.0471056i | ||||
\(136\) | 2.23796 | − | 5.02655i | 0.191904 | − | 0.431023i | ||||
\(137\) | −7.62379 | + | 1.62049i | −0.651344 | + | 0.138448i | −0.521722 | − | 0.853116i | \(-0.674710\pi\) |
−0.129623 | + | 0.991563i | \(0.541377\pi\) | |||||||
\(138\) | −2.54822 | + | 18.0356i | −0.216919 | + | 1.53529i | ||||
\(139\) | 0.126676 | − | 0.284519i | 0.0107445 | − | 0.0241326i | −0.908094 | − | 0.418767i | \(-0.862462\pi\) |
0.918838 | + | 0.394635i | \(0.129129\pi\) | |||||||
\(140\) | −1.59769 | + | 0.711339i | −0.135030 | + | 0.0601191i | ||||
\(141\) | −21.3139 | − | 0.759936i | −1.79496 | − | 0.0639982i | ||||
\(142\) | 2.46984i | 0.207265i | ||||||||
\(143\) | −6.88220 | + | 9.77933i | −0.575519 | + | 0.817789i | ||||
\(144\) | −8.70962 | + | 3.15559i | −0.725801 | + | 0.262966i | ||||
\(145\) | −2.02165 | − | 0.429714i | −0.167889 | − | 0.0356858i | ||||
\(146\) | −13.4495 | − | 30.2080i | −1.11309 | − | 2.50003i | ||||
\(147\) | −10.8329 | − | 2.70939i | −0.893486 | − | 0.223467i | ||||
\(148\) | −12.2128 | − | 3.96818i | −1.00389 | − | 0.326182i | ||||
\(149\) | 1.98667 | + | 9.34655i | 0.162754 | + | 0.765699i | 0.981488 | + | 0.191525i | \(0.0613433\pi\) |
−0.818733 | + | 0.574174i | \(0.805323\pi\) | |||||||
\(150\) | −3.54187 | + | 14.1615i | −0.289193 | + | 1.15628i | ||||
\(151\) | 4.75067 | + | 3.45157i | 0.386604 | + | 0.280885i | 0.764063 | − | 0.645142i | \(-0.223202\pi\) |
−0.377458 | + | 0.926027i | \(0.623202\pi\) | |||||||
\(152\) | 1.57242 | + | 1.41581i | 0.127540 | + | 0.114838i | ||||
\(153\) | 3.60650 | − | 20.2796i | 0.291568 | − | 1.63951i | ||||
\(154\) | −3.01511 | − | 4.19132i | −0.242964 | − | 0.337746i | ||||
\(155\) | 8.39603i | 0.674385i | ||||||||
\(156\) | −14.7725 | − | 1.78977i | −1.18275 | − | 0.143296i | ||||
\(157\) | −14.3723 | − | 10.4421i | −1.14703 | − | 0.833370i | −0.158951 | − | 0.987286i | \(-0.550811\pi\) |
−0.988084 | + | 0.153917i | \(0.950811\pi\) | |||||||
\(158\) | −2.87663 | − | 27.3693i | −0.228852 | − | 2.17738i | ||||
\(159\) | −9.36971 | + | 11.9746i | −0.743066 | + | 0.949646i | ||||
\(160\) | −1.65554 | − | 7.78873i | −0.130882 | − | 0.615753i | ||||
\(161\) | 2.19557 | + | 3.02195i | 0.173035 | + | 0.238163i | ||||
\(162\) | 15.6512 | − | 10.4903i | 1.22968 | − | 0.824193i | ||||
\(163\) | −1.39730 | − | 1.25814i | −0.109445 | − | 0.0985449i | 0.612591 | − | 0.790400i | \(-0.290127\pi\) |
−0.722037 | + | 0.691855i | \(0.756794\pi\) | |||||||
\(164\) | 16.3177i | 1.27420i | ||||||||
\(165\) | 5.66550 | + | 0.228729i | 0.441058 | + | 0.0178065i | ||||
\(166\) | −9.01621 | + | 15.6165i | −0.699793 | + | 1.21208i | ||||
\(167\) | 3.04131 | − | 14.3082i | 0.235343 | − | 1.10720i | −0.688739 | − | 0.725010i | \(-0.741835\pi\) |
0.924082 | − | 0.382194i | \(-0.124831\pi\) | |||||||
\(168\) | 0.453144 | − | 0.927358i | 0.0349608 | − | 0.0715472i | ||||
\(169\) | 10.8114 | + | 7.21903i | 0.831643 | + | 0.555310i | ||||
\(170\) | 13.4932 | + | 4.38422i | 1.03488 | + | 0.336254i | ||||
\(171\) | 6.98832 | + | 3.72890i | 0.534410 | + | 0.285156i | ||||
\(172\) | −0.207332 | + | 0.0217914i | −0.0158089 | + | 0.00166158i | ||||
\(173\) | −0.643789 | + | 6.12524i | −0.0489464 | + | 0.465694i | 0.942406 | + | 0.334470i | \(0.108557\pi\) |
−0.991353 | + | 0.131224i | \(0.958109\pi\) | |||||||
\(174\) | 6.70666 | − | 3.55969i | 0.508430 | − | 0.269860i | ||||
\(175\) | 1.49678 | + | 2.59251i | 0.113146 | + | 0.195975i | ||||
\(176\) | 9.37546 | − | 4.12141i | 0.706702 | − | 0.310663i | ||||
\(177\) | −6.82476 | + | 1.19823i | −0.512981 | + | 0.0900648i | ||||
\(178\) | 8.05451 | + | 7.25232i | 0.603711 | + | 0.543584i | ||||
\(179\) | 3.30805 | + | 7.43001i | 0.247256 | + | 0.555345i | 0.993951 | − | 0.109820i | \(-0.0350276\pi\) |
−0.746696 | + | 0.665166i | \(0.768361\pi\) | |||||||
\(180\) | 3.08373 | + | 6.34618i | 0.229848 | + | 0.473016i | ||||
\(181\) | −1.82762 | + | 5.62484i | −0.135846 | + | 0.418091i | −0.995721 | − | 0.0924142i | \(-0.970542\pi\) |
0.859875 | + | 0.510505i | \(0.170542\pi\) | |||||||
\(182\) | −4.47477 | + | 3.38841i | −0.331692 | + | 0.251166i | ||||
\(183\) | −2.39425 | − | 2.31549i | −0.176988 | − | 0.171166i | ||||
\(184\) | 3.67754 | − | 1.63734i | 0.271112 | − | 0.120707i | ||||
\(185\) | 1.10595 | − | 5.20309i | 0.0813111 | − | 0.382539i | ||||
\(186\) | −19.8090 | − | 23.6427i | −1.45247 | − | 1.73356i | ||||
\(187\) | −2.48696 | + | 22.6355i | −0.181864 | + | 1.65527i | ||||
\(188\) | 14.6702 | + | 25.4095i | 1.06993 | + | 1.85318i | ||||
\(189\) | 0.811653 | − | 3.77767i | 0.0590391 | − | 0.274785i | ||||
\(190\) | −3.20689 | + | 4.41391i | −0.232652 | + | 0.320218i | ||||
\(191\) | −6.79798 | + | 15.2685i | −0.491884 | + | 1.10479i | 0.481674 | + | 0.876351i | \(0.340029\pi\) |
−0.973558 | + | 0.228440i | \(0.926638\pi\) | |||||||
\(192\) | 14.6138 | + | 11.4348i | 1.05466 | + | 0.825236i | ||||
\(193\) | −8.00205 | − | 8.88718i | −0.576000 | − | 0.639713i | 0.382788 | − | 0.923836i | \(-0.374964\pi\) |
−0.958788 | + | 0.284123i | \(0.908297\pi\) | |||||||
\(194\) | −11.3022 | + | 8.21151i | −0.811449 | + | 0.589552i | ||||
\(195\) | 0.0976846 | − | 6.16329i | 0.00699534 | − | 0.441362i | ||||
\(196\) | 4.74712 | + | 14.6101i | 0.339080 | + | 1.04358i | ||||
\(197\) | −4.42357 | − | 2.55395i | −0.315166 | − | 0.181961i | 0.334070 | − | 0.942548i | \(-0.391578\pi\) |
−0.649236 | + | 0.760587i | \(0.724911\pi\) | |||||||
\(198\) | −16.4933 | + | 12.7227i | −1.17213 | + | 0.904164i | ||||
\(199\) | −7.39672 | − | 12.8115i | −0.524339 | − | 0.908182i | −0.999598 | − | 0.0283364i | \(-0.990979\pi\) |
0.475259 | − | 0.879846i | \(-0.342354\pi\) | |||||||
\(200\) | 3.06827 | − | 0.996941i | 0.216959 | − | 0.0704943i | ||||
\(201\) | −9.44568 | + | 0.653552i | −0.666247 | + | 0.0460980i | ||||
\(202\) | 7.12424 | − | 16.0013i | 0.501260 | − | 1.12585i | ||||
\(203\) | 0.481161 | − | 1.48086i | 0.0337709 | − | 0.103936i | ||||
\(204\) | −26.2809 | + | 10.5958i | −1.84003 | + | 0.741854i | ||||
\(205\) | −6.72237 | + | 0.706550i | −0.469511 | + | 0.0493476i | ||||
\(206\) | 13.1282 | + | 29.4864i | 0.914685 | + | 2.05442i | ||||
\(207\) | 11.8888 | − | 9.26050i | 0.826327 | − | 0.643649i | ||||
\(208\) | −4.72881 | − | 10.0794i | −0.327884 | − | 0.698878i | ||||
\(209\) | −7.98298 | − | 3.59941i | −0.552195 | − | 0.248976i | ||||
\(210\) | 2.50025 | + | 0.912090i | 0.172533 | + | 0.0629402i | ||||
\(211\) | 1.47989 | − | 6.96232i | 0.101880 | − | 0.479306i | −0.897395 | − | 0.441228i | \(-0.854543\pi\) |
0.999275 | − | 0.0380783i | \(-0.0121236\pi\) | |||||||
\(212\) | 20.8026 | + | 2.18644i | 1.42873 | + | 0.150165i | ||||
\(213\) | 1.42055 | − | 1.46886i | 0.0973342 | − | 0.100645i | ||||
\(214\) | −0.709883 | − | 3.33974i | −0.0485266 | − | 0.228300i | ||||
\(215\) | −0.0179547 | − | 0.0844702i | −0.00122450 | − | 0.00576082i | ||||
\(216\) | −3.80037 | − | 1.70205i | −0.258582 | − | 0.115810i | ||||
\(217\) | −6.29065 | − | 0.661174i | −0.427037 | − | 0.0448834i | ||||
\(218\) | −8.28573 | + | 38.9813i | −0.561180 | + | 2.64015i | ||||
\(219\) | −9.37567 | + | 25.7008i | −0.633549 | + | 1.73670i | ||||
\(220\) | −3.86834 | − | 6.77365i | −0.260803 | − | 0.456679i | ||||
\(221\) | 24.6663 | + | 2.09992i | 1.65923 | + | 0.141256i | ||||
\(222\) | 9.16154 | + | 17.2609i | 0.614883 | + | 1.15847i | ||||
\(223\) | −3.17629 | − | 7.13407i | −0.212700 | − | 0.477732i | 0.775414 | − | 0.631453i | \(-0.217541\pi\) |
−0.988114 | + | 0.153721i | \(0.950874\pi\) | |||||||
\(224\) | 5.96601 | − | 0.627053i | 0.398621 | − | 0.0418967i | ||||
\(225\) | 10.2515 | − | 6.38495i | 0.683431 | − | 0.425664i | ||||
\(226\) | −1.85534 | + | 5.71015i | −0.123415 | + | 0.379833i | ||||
\(227\) | 1.95834 | − | 4.39851i | 0.129980 | − | 0.291939i | −0.836818 | − | 0.547481i | \(-0.815587\pi\) |
0.966798 | + | 0.255541i | \(0.0822537\pi\) | |||||||
\(228\) | −0.752163 | − | 10.8709i | −0.0498132 | − | 0.719943i | ||||
\(229\) | −0.466133 | + | 0.151456i | −0.0308029 | + | 0.0100085i | −0.324378 | − | 0.945928i | \(-0.605155\pi\) |
0.293575 | + | 0.955936i | \(0.405155\pi\) | |||||||
\(230\) | 5.19000 | + | 8.98934i | 0.342218 | + | 0.592739i | ||||
\(231\) | −0.617522 | + | 4.22681i | −0.0406300 | + | 0.278104i | ||||
\(232\) | −1.45324 | − | 0.839027i | −0.0954097 | − | 0.0550848i | ||||
\(233\) | 4.75538 | + | 14.6355i | 0.311535 | + | 0.958806i | 0.977157 | + | 0.212517i | \(0.0681662\pi\) |
−0.665622 | + | 0.746289i | \(0.731834\pi\) | |||||||
\(234\) | 14.2662 | + | 17.5859i | 0.932609 | + | 1.14962i | ||||
\(235\) | −9.83266 | + | 7.14385i | −0.641412 | + | 0.466013i | ||||
\(236\) | 6.37847 | + | 7.08401i | 0.415203 | + | 0.461130i | ||||
\(237\) | −14.0308 | + | 17.9315i | −0.911399 | + | 1.16478i | ||||
\(238\) | −4.34741 | + | 9.76444i | −0.281801 | + | 0.632935i | ||||
\(239\) | −7.57483 | + | 10.4259i | −0.489975 | + | 0.674393i | −0.980383 | − | 0.197100i | \(-0.936848\pi\) |
0.490408 | + | 0.871493i | \(0.336848\pi\) | |||||||
\(240\) | −2.80075 | + | 4.47484i | −0.180788 | + | 0.288850i | ||||
\(241\) | −4.16212 | − | 7.20900i | −0.268106 | − | 0.464373i | 0.700267 | − | 0.713881i | \(-0.253064\pi\) |
−0.968373 | + | 0.249508i | \(0.919731\pi\) | |||||||
\(242\) | 17.2580 | − | 15.2472i | 1.10939 | − | 0.980130i | ||||
\(243\) | −15.3416 | − | 2.76313i | −0.984165 | − | 0.177255i | ||||
\(244\) | −0.952681 | + | 4.48201i | −0.0609891 | + | 0.286931i | ||||
\(245\) | −5.81334 | + | 2.58827i | −0.371401 | + | 0.165358i | ||||
\(246\) | 17.2628 | − | 17.8499i | 1.10063 | − | 1.13807i | ||||
\(247\) | −3.69918 | + | 8.77168i | −0.235373 | + | 0.558129i | ||||
\(248\) | −2.10650 | + | 6.48314i | −0.133763 | + | 0.411680i | ||||
\(249\) | 14.3441 | − | 4.10172i | 0.909017 | − | 0.259936i | ||||
\(250\) | 7.58590 | + | 17.0382i | 0.479774 | + | 1.07759i | ||||
\(251\) | 2.81602 | + | 2.53555i | 0.177745 | + | 0.160043i | 0.753201 | − | 0.657790i | \(-0.228509\pi\) |
−0.575456 | + | 0.817833i | \(0.695175\pi\) | |||||||
\(252\) | −4.99766 | + | 1.81071i | −0.314823 | + | 0.114064i | ||||
\(253\) | −12.4334 | + | 11.0895i | −0.781682 | + | 0.697190i | ||||
\(254\) | −14.1953 | − | 24.5870i | −0.890694 | − | 1.54273i | ||||
\(255\) | −5.50307 | − | 10.3681i | −0.344616 | − | 0.649275i | ||||
\(256\) | −0.862422 | + | 8.20539i | −0.0539014 | + | 0.512837i | ||||
\(257\) | 17.8840 | − | 1.87969i | 1.11558 | − | 0.117252i | 0.471248 | − | 0.882001i | \(-0.343804\pi\) |
0.644328 | + | 0.764749i | \(0.277137\pi\) | |||||||
\(258\) | 0.249853 | + | 0.195501i | 0.0155552 | + | 0.0121714i | ||||
\(259\) | 3.81128 | + | 1.23836i | 0.236821 | + | 0.0769479i | ||||
\(260\) | −7.25849 | + | 4.38447i | −0.450153 | + | 0.271913i | ||||
\(261\) | −6.03595 | − | 1.74036i | −0.373616 | − | 0.107726i | ||||
\(262\) | −5.14713 | + | 24.2153i | −0.317990 | + | 1.49603i | ||||
\(263\) | −9.03556 | + | 15.6501i | −0.557157 | + | 0.965024i | 0.440575 | + | 0.897716i | \(0.354774\pi\) |
−0.997732 | + | 0.0673083i | \(0.978559\pi\) | |||||||
\(264\) | 4.31733 | + | 1.59805i | 0.265713 | + | 0.0983530i | ||||
\(265\) | 8.66465i | 0.532265i | ||||||||
\(266\) | −3.05454 | − | 2.75032i | −0.187286 | − | 0.168633i | ||||
\(267\) | −0.618957 | − | 8.94569i | −0.0378795 | − | 0.547467i | ||||
\(268\) | 7.65623 | + | 10.5379i | 0.467679 | + | 0.643704i | ||||
\(269\) | −6.07623 | − | 28.5864i | −0.370474 | − | 1.74294i | −0.629433 | − | 0.777055i | \(-0.716713\pi\) |
0.258959 | − | 0.965888i | \(-0.416621\pi\) | |||||||
\(270\) | 3.34042 | − | 10.2044i | 0.203292 | − | 0.621019i | ||||
\(271\) | 0.308392 | + | 2.93415i | 0.0187335 | + | 0.178237i | 0.999888 | − | 0.0149895i | \(-0.00477148\pi\) |
−0.981154 | + | 0.193226i | \(0.938105\pi\) | |||||||
\(272\) | −17.1521 | − | 12.4618i | −1.04000 | − | 0.755605i | ||||
\(273\) | 4.61010 | + | 0.558539i | 0.279016 | + | 0.0338043i | ||||
\(274\) | − | 16.3171i | − | 0.985750i | ||||||
\(275\) | −10.8388 | + | 7.79708i | −0.653603 | + | 0.470182i | ||||
\(276\) | −19.4762 | − | 7.10492i | −1.17233 | − | 0.427666i | ||||
\(277\) | −6.54403 | − | 5.89228i | −0.393193 | − | 0.354033i | 0.448695 | − | 0.893685i | \(-0.351889\pi\) |
−0.841888 | + | 0.539652i | \(0.818556\pi\) | |||||||
\(278\) | 0.527490 | + | 0.383244i | 0.0316368 | + | 0.0229854i | ||||
\(279\) | −1.81741 | + | 25.4540i | −0.108805 | + | 1.52389i | ||||
\(280\) | −0.122291 | − | 0.575335i | −0.00730830 | − | 0.0343828i | ||||
\(281\) | 10.0931 | + | 3.27944i | 0.602102 | + | 0.195635i | 0.594178 | − | 0.804334i | \(-0.297478\pi\) |
0.00792431 | + | 0.999969i | \(0.497478\pi\) | |||||||
\(282\) | 10.8334 | − | 43.3151i | 0.645119 | − | 2.57938i | ||||
\(283\) | −7.07078 | − | 15.8812i | −0.420314 | − | 0.944042i | −0.992309 | − | 0.123784i | \(-0.960497\pi\) |
0.571995 | − | 0.820257i | \(-0.306170\pi\) | |||||||
\(284\) | −2.74970 | − | 0.584466i | −0.163164 | − | 0.0346817i | ||||
\(285\) | 4.44588 | − | 0.780571i | 0.263351 | − | 0.0462370i | ||||
\(286\) | −17.0302 | − | 18.3497i | −1.00702 | − | 1.08504i | ||||
\(287\) | − | 5.09232i | − | 0.300590i | ||||||
\(288\) | −3.33312 | − | 23.9712i | −0.196406 | − | 1.41252i | ||||
\(289\) | 27.5352 | − | 12.2595i | 1.61972 | − | 0.721146i | ||||
\(290\) | 1.75991 | − | 3.95281i | 0.103345 | − | 0.232117i | ||||
\(291\) | 11.4445 | + | 1.61697i | 0.670890 | + | 0.0947887i | ||||
\(292\) | 36.8135 | − | 7.82496i | 2.15435 | − | 0.457921i | ||||
\(293\) | 5.40464 | − | 12.1390i | 0.315742 | − | 0.709169i | −0.684052 | − | 0.729433i | \(-0.739784\pi\) |
0.999795 | + | 0.0202640i | \(0.00645069\pi\) | |||||||
\(294\) | 10.2634 | − | 21.0040i | 0.598573 | − | 1.22498i | ||||
\(295\) | −2.64220 | + | 2.93446i | −0.153835 | + | 0.170851i | ||||
\(296\) | 2.15940 | − | 3.74018i | 0.125512 | − | 0.217394i | ||||
\(297\) | 17.1264 | + | 1.91979i | 0.993776 | + | 0.111397i | ||||
\(298\) | −20.0043 | −1.15882 | ||||||||
\(299\) | 12.3831 | + | 13.2171i | 0.716131 | + | 0.764366i | ||||
\(300\) | −14.9279 | − | 7.29437i | −0.861863 | − | 0.421141i | ||||
\(301\) | 0.0647025 | − | 0.00680051i | 0.00372939 | − | 0.000391975i | ||||
\(302\) | −9.13580 | + | 8.22591i | −0.525706 | + | 0.473348i | ||||
\(303\) | −13.4402 | + | 5.41873i | −0.772117 | + | 0.311298i | ||||
\(304\) | 6.59590 | − | 4.79220i | 0.378301 | − | 0.274852i | ||||
\(305\) | −1.88769 | − | 0.198404i | −0.108089 | − | 0.0113606i | ||||
\(306\) | 39.9581 | + | 16.2123i | 2.28425 | + | 0.926794i | ||||
\(307\) | −5.32922 | −0.304155 | −0.152077 | − | 0.988369i | \(-0.548596\pi\) | ||||
−0.152077 | + | 0.988369i | \(0.548596\pi\) | |||||||
\(308\) | 5.37973 | − | 2.36490i | 0.306538 | − | 0.134753i | ||||
\(309\) | 9.15171 | − | 25.0869i | 0.520623 | − | 1.42714i | ||||
\(310\) | −17.1931 | − | 3.65450i | −0.976502 | − | 0.207562i | ||||
\(311\) | −17.4689 | + | 24.0439i | −0.990571 | + | 1.36340i | −0.0596355 | + | 0.998220i | \(0.518994\pi\) |
−0.930935 | + | 0.365184i | \(0.881006\pi\) | |||||||
\(312\) | 1.62175 | − | 4.73458i | 0.0918136 | − | 0.268043i | ||||
\(313\) | −1.71377 | + | 5.27446i | −0.0968683 | + | 0.298130i | −0.987736 | − | 0.156133i | \(-0.950097\pi\) |
0.890868 | + | 0.454263i | \(0.150097\pi\) | |||||||
\(314\) | 27.6387 | − | 24.8860i | 1.55974 | − | 1.40440i | ||||
\(315\) | −0.962349 | − | 1.98047i | −0.0542222 | − | 0.111587i | ||||
\(316\) | 31.1511 | + | 3.27412i | 1.75239 | + | 0.184183i | ||||
\(317\) | −3.51993 | − | 10.8332i | −0.197699 | − | 0.608454i | −0.999934 | − | 0.0114469i | \(-0.996356\pi\) |
0.802236 | − | 0.597007i | \(-0.203644\pi\) | |||||||
\(318\) | −20.4428 | − | 24.3991i | −1.14638 | − | 1.36823i | ||||
\(319\) | 6.78620 | + | 1.47590i | 0.379954 | + | 0.0826345i | ||||
\(320\) | 10.5743 | 0.591124 | ||||||||
\(321\) | −1.49869 | + | 2.39450i | −0.0836487 | + | 0.133648i | ||||
\(322\) | −7.14389 | + | 3.18066i | −0.398113 | + | 0.177252i | ||||
\(323\) | 1.89491 | + | 18.0289i | 0.105436 | + | 1.00316i | ||||
\(324\) | 7.97518 | + | 19.9070i | 0.443065 | + | 1.10595i | ||||
\(325\) | 8.76246 | + | 11.5718i | 0.486054 | + | 0.641887i | ||||
\(326\) | 3.18456 | − | 2.31372i | 0.176377 | − | 0.128145i | ||||
\(327\) | 27.3480 | − | 18.4173i | 1.51235 | − | 1.01848i | ||||
\(328\) | −5.36806 | − | 1.14102i | −0.296402 | − | 0.0630021i | ||||
\(329\) | −4.57816 | − | 7.92960i | −0.252402 | − | 0.437173i | ||||
\(330\) | −2.93438 | + | 11.5020i | −0.161532 | + | 0.633167i | ||||
\(331\) | 17.1342 | − | 9.89241i | 0.941778 | − | 0.543736i | 0.0512610 | − | 0.998685i | \(-0.483676\pi\) |
0.890517 | + | 0.454949i | \(0.150343\pi\) | |||||||
\(332\) | −15.2524 | − | 13.7333i | −0.837084 | − | 0.753714i | ||||
\(333\) | 4.47915 | − | 15.5347i | 0.245456 | − | 0.851295i | ||||
\(334\) | 27.9761 | + | 12.4558i | 1.53078 | + | 0.681549i | ||||
\(335\) | −4.00976 | + | 3.61040i | −0.219076 | + | 0.197257i | ||||
\(336\) | −3.13218 | − | 2.45083i | −0.170874 | − | 0.133704i | ||||
\(337\) | 12.8419 | + | 17.6753i | 0.699541 | + | 0.962835i | 0.999959 | + | 0.00902767i | \(0.00287364\pi\) |
−0.300419 | + | 0.953807i | \(0.597126\pi\) | |||||||
\(338\) | −19.4887 | + | 18.9969i | −1.06005 | + | 1.03330i | ||||
\(339\) | 4.38763 | − | 2.32882i | 0.238303 | − | 0.126484i | ||||
\(340\) | −8.07404 | + | 13.9846i | −0.437876 | + | 0.758424i | ||||
\(341\) | 0.132905 | − | 28.2118i | 0.00719723 | − | 1.52776i | ||||
\(342\) | −10.6777 | + | 12.6874i | −0.577383 | + | 0.686054i | ||||
\(343\) | −3.08995 | − | 9.50989i | −0.166842 | − | 0.513486i | ||||
\(344\) | 0.00732890 | − | 0.0697299i | 0.000395148 | − | 0.00375958i | ||||
\(345\) | 2.08368 | − | 8.33119i | 0.112182 | − | 0.448536i | ||||
\(346\) | −12.2628 | − | 3.98444i | −0.659254 | − | 0.214205i | ||||
\(347\) | 10.0421 | − | 2.13452i | 0.539090 | − | 0.114587i | 0.0696835 | − | 0.997569i | \(-0.477801\pi\) |
0.469407 | + | 0.882982i | \(0.344468\pi\) | |||||||
\(348\) | 2.37596 | + | 8.30894i | 0.127365 | + | 0.445406i | ||||
\(349\) | 19.7294 | − | 8.78410i | 1.05609 | − | 0.470202i | 0.196139 | − | 0.980576i | \(-0.437160\pi\) |
0.859953 | + | 0.510374i | \(0.170493\pi\) | |||||||
\(350\) | −5.96034 | + | 1.93663i | −0.318594 | + | 0.103517i | ||||
\(351\) | 1.63026 | − | 18.6639i | 0.0870166 | − | 0.996207i | ||||
\(352\) | 5.43956 | + | 26.1974i | 0.289930 | + | 1.39633i | ||||
\(353\) | 10.0455 | − | 17.3993i | 0.534666 | − | 0.926069i | −0.464513 | − | 0.885566i | \(-0.653771\pi\) |
0.999179 | − | 0.0405030i | \(-0.0128960\pi\) | |||||||
\(354\) | 0.516884 | − | 14.4971i | 0.0274721 | − | 0.770510i | ||||
\(355\) | 0.121720 | − | 1.15809i | 0.00646025 | − | 0.0614651i | ||||
\(356\) | −9.98009 | + | 7.25096i | −0.528944 | + | 0.384300i | ||||
\(357\) | 8.20156 | − | 3.30666i | 0.434073 | − | 0.175007i | ||||
\(358\) | −16.6548 | + | 3.54009i | −0.880233 | + | 0.187099i | ||||
\(359\) | 6.86187 | + | 9.44455i | 0.362155 | + | 0.498464i | 0.950748 | − | 0.309966i | \(-0.100318\pi\) |
−0.588592 | + | 0.808430i | \(0.700318\pi\) | |||||||
\(360\) | −2.30334 | + | 0.570703i | −0.121397 | + | 0.0300787i | ||||
\(361\) | 11.7659 | + | 2.50092i | 0.619257 | + | 0.131627i | ||||
\(362\) | −10.7228 | − | 6.19084i | −0.563580 | − | 0.325383i | ||||
\(363\) | −19.0332 | − | 0.858242i | −0.998985 | − | 0.0450460i | ||||
\(364\) | −2.71343 | − | 5.78364i | −0.142223 | − | 0.303145i | ||||
\(365\) | 4.81763 | + | 14.8271i | 0.252166 | + | 0.776088i | ||||
\(366\) | 5.78372 | − | 3.89500i | 0.302320 | − | 0.203595i | ||||
\(367\) | −1.82649 | − | 17.3778i | −0.0953418 | − | 0.907116i | −0.932746 | − | 0.360533i | \(-0.882595\pi\) |
0.837405 | − | 0.546583i | \(-0.184072\pi\) | |||||||
\(368\) | −3.22498 | − | 15.1723i | −0.168114 | − | 0.790912i | ||||
\(369\) | −20.5330 | + | 0.686901i | −1.06890 | + | 0.0357586i | ||||
\(370\) | 10.1733 | + | 4.52945i | 0.528886 | + | 0.235475i | ||||
\(371\) | −6.49192 | − | 0.682328i | −0.337044 | − | 0.0354247i | ||||
\(372\) | 31.0092 | − | 16.4587i | 1.60775 | − | 0.853346i | ||||
\(373\) | −18.7117 | + | 10.8032i | −0.968853 | + | 0.559367i | −0.898886 | − | 0.438182i | \(-0.855623\pi\) |
−0.0699664 | + | 0.997549i | \(0.522289\pi\) | |||||||
\(374\) | −45.2697 | − | 14.9452i | −2.34084 | − | 0.772796i | ||||
\(375\) | 5.28815 | − | 14.4960i | 0.273079 | − | 0.748571i | ||||
\(376\) | −9.38480 | + | 3.04931i | −0.483984 | + | 0.157256i | ||||
\(377\) | 1.42325 | − | 7.41448i | 0.0733009 | − | 0.381865i | ||||
\(378\) | 7.38250 | + | 3.30636i | 0.379715 | + | 0.170061i | ||||
\(379\) | 10.4228 | − | 9.38477i | 0.535386 | − | 0.482063i | −0.356518 | − | 0.934288i | \(-0.616036\pi\) |
0.891904 | + | 0.452225i | \(0.149370\pi\) | |||||||
\(380\) | −4.15516 | − | 4.61477i | −0.213155 | − | 0.236733i | ||||
\(381\) | −5.69915 | + | 22.7869i | −0.291976 | + | 1.16741i | ||||
\(382\) | −28.3074 | − | 20.5665i | −1.44833 | − | 1.05227i | ||||
\(383\) | −11.3332 | + | 12.5868i | −0.579099 | + | 0.643155i | −0.959514 | − | 0.281661i | \(-0.909115\pi\) |
0.380415 | + | 0.924816i | \(0.375781\pi\) | |||||||
\(384\) | −8.35570 | + | 7.00084i | −0.426400 | + | 0.357260i | ||||
\(385\) | 1.20720 | + | 2.11387i | 0.0615247 | + | 0.107733i | ||||
\(386\) | 21.6819 | − | 12.5180i | 1.10358 | − | 0.637151i | ||||
\(387\) | −0.0361483 | − | 0.259973i | −0.00183752 | − | 0.0132152i | ||||
\(388\) | −6.46738 | − | 14.5260i | −0.328332 | − | 0.737445i | ||||
\(389\) | 10.1794 | + | 14.0108i | 0.516118 | + | 0.710375i | 0.984936 | − | 0.172920i | \(-0.0553201\pi\) |
−0.468818 | + | 0.883295i | \(0.655320\pi\) | |||||||
\(390\) | 12.5784 | + | 2.88270i | 0.636934 | + | 0.145971i | ||||
\(391\) | 32.8014 | + | 10.6578i | 1.65884 | + | 0.538990i | ||||
\(392\) | −5.13825 | + | 0.540052i | −0.259521 | + | 0.0272767i | ||||
\(393\) | 16.9887 | − | 11.4409i | 0.856966 | − | 0.577117i | ||||
\(394\) | 7.15531 | − | 7.94677i | 0.360479 | − | 0.400353i | ||||
\(395\) | 12.9750i | 0.652844i | ||||||||
\(396\) | −10.2613 | − | 21.3728i | −0.515650 | − | 1.07403i | ||||
\(397\) | −13.8329 | + | 7.98644i | −0.694255 | + | 0.400828i | −0.805204 | − | 0.592998i | \(-0.797944\pi\) |
0.110949 | + | 0.993826i | \(0.464611\pi\) | |||||||
\(398\) | 29.4544 | − | 9.57033i | 1.47642 | − | 0.479717i | ||||
\(399\) | 0.234729 | + | 3.39251i | 0.0117512 | + | 0.169838i | ||||
\(400\) | −1.29940 | − | 12.3630i | −0.0649699 | − | 0.618148i | ||||
\(401\) | −3.53073 | − | 3.92127i | −0.176316 | − | 0.195819i | 0.648509 | − | 0.761207i | \(-0.275393\pi\) |
−0.824825 | + | 0.565388i | \(0.808726\pi\) | |||||||
\(402\) | 2.77306 | − | 19.6270i | 0.138308 | − | 0.978906i | ||||
\(403\) | −30.6638 | + | 0.606954i | −1.52747 | + | 0.0302345i | ||||
\(404\) | 16.1285 | + | 11.7180i | 0.802422 | + | 0.582994i | ||||
\(405\) | −7.85573 | + | 4.14748i | −0.390354 | + | 0.206090i | ||||
\(406\) | 2.82302 | + | 1.62987i | 0.140104 | + | 0.0808892i | ||||
\(407\) | −3.79851 | + | 17.4656i | −0.188285 | + | 0.865737i | ||||
\(408\) | −1.64802 | − | 9.38658i | −0.0815890 | − | 0.464705i | ||||
\(409\) | −23.3602 | + | 25.9441i | −1.15509 | + | 1.28285i | −0.202262 | + | 0.979332i | \(0.564829\pi\) |
−0.952825 | + | 0.303522i | \(0.901838\pi\) | |||||||
\(410\) | 1.47917 | − | 14.0734i | 0.0730510 | − | 0.695034i | ||||
\(411\) | −9.38486 | + | 9.70407i | −0.462921 | + | 0.478666i | ||||
\(412\) | −35.9341 | + | 7.63804i | −1.77035 | + | 0.376299i | ||||
\(413\) | −1.99055 | − | 2.21073i | −0.0979484 | − | 0.108783i | ||||
\(414\) | 13.7885 | + | 28.3762i | 0.677670 | + | 1.39461i | ||||
\(415\) | 4.99726 | − | 6.87813i | 0.245306 | − | 0.337634i | ||||
\(416\) | 28.3261 | − | 6.60940i | 1.38880 | − | 0.324052i | ||||
\(417\) | −0.0932832 | − | 0.531311i | −0.00456810 | − | 0.0260184i | ||||
\(418\) | 10.8455 | − | 14.7806i | 0.530469 | − | 0.722941i | ||||
\(419\) | −24.0199 | − | 13.8679i | −1.17345 | − | 0.677490i | −0.218958 | − | 0.975734i | \(-0.570266\pi\) |
−0.954490 | + | 0.298244i | \(0.903599\pi\) | |||||||
\(420\) | −1.60710 | + | 2.56771i | −0.0784183 | + | 0.125291i | ||||
\(421\) | 8.40427 | − | 11.5675i | 0.409599 | − | 0.563765i | −0.553521 | − | 0.832835i | \(-0.686716\pi\) |
0.963121 | + | 0.269070i | \(0.0867163\pi\) | |||||||
\(422\) | 13.6131 | + | 6.06092i | 0.662673 | + | 0.295041i | ||||
\(423\) | −31.3558 | + | 19.5294i | −1.52457 | + | 0.949553i | ||||
\(424\) | −2.17390 | + | 6.69056i | −0.105574 | + | 0.324922i | ||||
\(425\) | 25.2509 | + | 11.2424i | 1.22485 | + | 0.545338i | ||||
\(426\) | 2.38957 | + | 3.54829i | 0.115775 | + | 0.171915i | ||||
\(427\) | 0.297306 | − | 1.39871i | 0.0143876 | − | 0.0676885i | ||||
\(428\) | 3.88614 | 0.187844 | ||||||||
\(429\) | −0.425796 | + | 20.7079i | −0.0205576 | + | 0.999789i | ||||
\(430\) | 0.180790 | 0.00871847 | ||||||||
\(431\) | −7.26932 | + | 34.1995i | −0.350151 | + | 1.64733i | 0.352512 | + | 0.935807i | \(0.385328\pi\) |
−0.702663 | + | 0.711523i | \(0.748006\pi\) | |||||||
\(432\) | −9.45959 | + | 12.9600i | −0.455125 | + | 0.623538i | ||||
\(433\) | 17.7182 | + | 7.88865i | 0.851482 | + | 0.379104i | 0.785609 | − | 0.618724i | \(-0.212350\pi\) |
0.0658733 | + | 0.997828i | \(0.479017\pi\) | |||||||
\(434\) | 4.09204 | − | 12.5940i | 0.196424 | − | 0.604531i | ||||
\(435\) | −3.32013 | + | 1.33859i | −0.159188 | + | 0.0641806i | ||||
\(436\) | −41.4374 | − | 18.4491i | −1.98449 | − | 0.883553i | ||||
\(437\) | −7.79581 | + | 10.7300i | −0.372924 | + | 0.513286i | ||||
\(438\) | −48.5483 | − | 30.3858i | −2.31973 | − | 1.45189i | ||||
\(439\) | 2.56423 | + | 1.48046i | 0.122384 | + | 0.0706583i | 0.559942 | − | 0.828532i | \(-0.310823\pi\) |
−0.437558 | + | 0.899190i | \(0.644157\pi\) | |||||||
\(440\) | 2.49883 | − | 0.798924i | 0.119127 | − | 0.0380872i | ||||
\(441\) | −18.1844 | + | 6.58842i | −0.865925 | + | 0.313734i | ||||
\(442\) | −15.0365 | + | 49.5966i | −0.715214 | + | 2.35907i | ||||
\(443\) | 0.194688 | − | 0.267965i | 0.00924990 | − | 0.0127314i | −0.804367 | − | 0.594133i | \(-0.797495\pi\) |
0.813617 | + | 0.581401i | \(0.197495\pi\) | |||||||
\(444\) | −21.3846 | + | 6.11499i | −1.01487 | + | 0.290205i | ||||
\(445\) | −3.41929 | − | 3.79751i | −0.162090 | − | 0.180019i | ||||
\(446\) | 15.9914 | − | 3.39908i | 0.757215 | − | 0.160951i | ||||
\(447\) | 11.8969 | + | 11.5056i | 0.562704 | + | 0.544195i | ||||
\(448\) | −0.832714 | + | 7.92274i | −0.0393420 | + | 0.374314i | ||||
\(449\) | 15.7272 | − | 17.4669i | 0.742214 | − | 0.824312i | −0.247271 | − | 0.968946i | \(-0.579534\pi\) |
0.989485 | + | 0.144634i | \(0.0462006\pi\) | |||||||
\(450\) | 8.61277 | + | 23.7717i | 0.406010 | + | 1.12061i | ||||
\(451\) | 22.5993 | − | 2.26769i | 1.06416 | − | 0.106781i | ||||
\(452\) | −5.91810 | − | 3.41682i | −0.278364 | − | 0.160714i | ||||
\(453\) | 10.1644 | + | 0.362407i | 0.477566 | + | 0.0170273i | ||||
\(454\) | 8.15471 | + | 5.92474i | 0.382719 | + | 0.278062i | ||||
\(455\) | 2.26518 | − | 1.36827i | 0.106193 | − | 0.0641457i | ||||
\(456\) | 3.62881 | + | 0.512707i | 0.169934 | + | 0.0240097i | ||||
\(457\) | 14.5690 | + | 16.1805i | 0.681508 | + | 0.756891i | 0.980319 | − | 0.197421i | \(-0.0632566\pi\) |
−0.298811 | + | 0.954312i | \(0.596590\pi\) | |||||||
\(458\) | −0.107254 | − | 1.02045i | −0.00501165 | − | 0.0476826i | ||||
\(459\) | −14.4392 | − | 32.6239i | −0.673966 | − | 1.52275i | ||||
\(460\) | −11.2361 | + | 3.65082i | −0.523884 | + | 0.170220i | ||||
\(461\) | −22.4686 | + | 12.9723i | −1.04647 | + | 0.604179i | −0.921658 | − | 0.388002i | \(-0.873165\pi\) |
−0.124810 | + | 0.992181i | \(0.539832\pi\) | |||||||
\(462\) | −8.38673 | − | 3.10433i | −0.390186 | − | 0.144426i | ||||
\(463\) | − | 5.75250i | − | 0.267341i | −0.991026 | − | 0.133671i | \(-0.957324\pi\) | ||
0.991026 | − | 0.133671i | \(-0.0426764\pi\) | |||||||
\(464\) | −4.32651 | + | 4.80508i | −0.200853 | + | 0.223070i | ||||
\(465\) | 8.12314 | + | 12.0621i | 0.376702 | + | 0.559367i | ||||
\(466\) | −32.0400 | + | 3.36754i | −1.48422 | + | 0.155998i | ||||
\(467\) | 34.1029 | + | 11.0807i | 1.57809 | + | 0.512753i | 0.961564 | − | 0.274579i | \(-0.0885386\pi\) |
0.616528 | + | 0.787333i | \(0.288539\pi\) | |||||||
\(468\) | −22.9545 | + | 11.7211i | −1.06107 | + | 0.541809i | ||||
\(469\) | −2.38930 | − | 3.28859i | −0.110328 | − | 0.151853i | ||||
\(470\) | −10.3491 | − | 23.2444i | −0.477368 | − | 1.07219i | ||||
\(471\) | −30.7506 | − | 1.09640i | −1.41691 | − | 0.0505192i | ||||
\(472\) | −2.77645 | + | 1.60298i | −0.127796 | + | 0.0737833i | ||||
\(473\) | 0.0589931 | + | 0.284116i | 0.00271251 | + | 0.0130637i | ||||
\(474\) | −30.6124 | − | 36.5368i | −1.40607 | − | 1.67819i | ||||
\(475\) | −7.11236 | + | 7.89907i | −0.326337 | + | 0.362434i | ||||
\(476\) | −9.84205 | − | 7.15067i | −0.451110 | − | 0.327750i | ||||
\(477\) | −1.87555 | + | 26.2684i | −0.0858757 | + | 1.20275i | ||||
\(478\) | −18.0526 | − | 20.0495i | −0.825708 | − | 0.917042i | ||||
\(479\) | 2.74673 | − | 2.47317i | 0.125501 | − | 0.113002i | −0.603990 | − | 0.796992i | \(-0.706423\pi\) |
0.729492 | + | 0.683990i | \(0.239757\pi\) | |||||||
\(480\) | −9.91401 | − | 9.58789i | −0.452510 | − | 0.437625i | ||||
\(481\) | 19.0826 | + | 3.66300i | 0.870090 | + | 0.167018i | ||||
\(482\) | 16.5740 | − | 5.38521i | 0.754923 | − | 0.245289i | ||||
\(483\) | 6.07798 | + | 2.21725i | 0.276558 | + | 0.100888i | ||||
\(484\) | 12.8909 | + | 22.8216i | 0.585951 | + | 1.03735i | ||||
\(485\) | 5.70419 | − | 3.29332i | 0.259014 | − | 0.149542i | ||||
\(486\) | 12.3359 | − | 30.2133i | 0.559569 | − | 1.37050i | ||||
\(487\) | −6.00857 | − | 0.631527i | −0.272274 | − | 0.0286172i | −0.0325927 | − | 0.999469i | \(-0.510376\pi\) |
−0.239682 | + | 0.970852i | \(0.577043\pi\) | |||||||
\(488\) | −1.40784 | − | 0.626809i | −0.0637297 | − | 0.0283743i | ||||
\(489\) | −3.22467 | − | 0.455608i | −0.145825 | − | 0.0206033i | ||||
\(490\) | −2.76981 | − | 13.0309i | −0.125127 | − | 0.588678i | ||||
\(491\) | −2.37696 | − | 22.6153i | −0.107271 | − | 1.02061i | −0.907252 | − | 0.420588i | \(-0.861824\pi\) |
0.799981 | − | 0.600025i | \(-0.204843\pi\) | |||||||
\(492\) | 15.7874 | + | 23.4428i | 0.711750 | + | 1.05688i | ||||
\(493\) | −4.44271 | − | 13.6733i | −0.200090 | − | 0.615813i | ||||
\(494\) | −16.3522 | − | 11.3931i | −0.735721 | − | 0.512598i | ||||
\(495\) | 8.36060 | − | 5.15275i | 0.375781 | − | 0.231599i | ||||
\(496\) | 22.7474 | + | 13.1332i | 1.02139 | + | 0.589698i | ||||
\(497\) | 0.858105 | + | 0.182396i | 0.0384913 | + | 0.00818157i | ||||
\(498\) | 2.15588 | + | 31.1586i | 0.0966072 | + | 1.39625i | ||||
\(499\) | −9.89841 | − | 13.6240i | −0.443114 | − | 0.609894i | 0.527787 | − | 0.849377i | \(-0.323022\pi\) |
−0.970901 | + | 0.239483i | \(0.923022\pi\) | |||||||
\(500\) | −20.7639 | + | 4.41350i | −0.928590 | + | 0.197378i | ||||
\(501\) | −9.47391 | − | 23.4983i | −0.423263 | − | 1.04983i | ||||
\(502\) | −6.41793 | + | 4.66290i | −0.286446 | + | 0.208115i | ||||
\(503\) | −1.08526 | + | 10.3256i | −0.0483893 | + | 0.460394i | 0.943319 | + | 0.331887i | \(0.107685\pi\) |
−0.991709 | + | 0.128507i | \(0.958981\pi\) | |||||||
\(504\) | −0.246210 | − | 1.77070i | −0.0109671 | − | 0.0788732i | ||||
\(505\) | −4.12909 | + | 7.15179i | −0.183742 | + | 0.318251i | ||||
\(506\) | −17.2968 | − | 30.2876i | −0.768937 | − | 1.34645i | ||||
\(507\) | 22.5165 | − | 0.0887857i | 0.999992 | − | 0.00394311i | ||||
\(508\) | 30.7321 | − | 9.98547i | 1.36352 | − | 0.443034i | ||||
\(509\) | −21.6687 | + | 9.64754i | −0.960450 | + | 0.427620i | −0.826231 | − | 0.563332i | \(-0.809519\pi\) |
−0.134219 | + | 0.990952i | \(0.542853\pi\) | |||||||
\(510\) | 23.6267 | − | 6.75612i | 1.04621 | − | 0.299166i | ||||
\(511\) | −11.4885 | + | 2.44195i | −0.508221 | + | 0.108026i | ||||
\(512\) | −28.3985 | − | 9.22724i | −1.25505 | − | 0.407790i | ||||
\(513\) | 13.6474 | − | 1.40408i | 0.602549 | − | 0.0619915i | ||||
\(514\) | −3.93515 | + | 37.4405i | −0.173572 | + | 1.65143i | ||||
\(515\) | −4.70255 | − | 14.4730i | −0.207219 | − | 0.637755i | ||||
\(516\) | −0.276779 | + | 0.231899i | −0.0121845 | + | 0.0102088i | ||||
\(517\) | 33.1522 | − | 23.8487i | 1.45803 | − | 1.04886i | ||||
\(518\) | −4.19479 | + | 7.26558i | −0.184308 | + | 0.319231i | ||||
\(519\) | 5.00126 | + | 9.42266i | 0.219531 | + | 0.413609i | ||||
\(520\) | −0.934815 | − | 2.69442i | −0.0409943 | − | 0.118158i | ||||
\(521\) | 17.6213 | + | 24.2536i | 0.772003 | + | 1.06257i | 0.996120 | + | 0.0880085i | \(0.0280503\pi\) |
−0.224117 | + | 0.974562i | \(0.571950\pi\) | |||||||
\(522\) | 6.19109 | − | 11.6027i | 0.270977 | − | 0.507836i | ||||
\(523\) | 11.1453 | − | 10.0352i | 0.487349 | − | 0.438811i | −0.388463 | − | 0.921464i | \(-0.626994\pi\) |
0.875811 | + | 0.482654i | \(0.160327\pi\) | |||||||
\(524\) | −25.7411 | − | 11.4607i | −1.12450 | − | 0.500662i | ||||
\(525\) | 4.65859 | + | 2.27637i | 0.203318 | + | 0.0993491i | ||||
\(526\) | −28.1148 | − | 25.3146i | −1.22586 | − | 1.10377i | ||||
\(527\) | −50.5789 | + | 29.2018i | −2.20325 | + | 1.27205i | ||||
\(528\) | 9.48174 | − | 14.9917i | 0.412640 | − | 0.652432i | ||||
\(529\) | 1.11665 | + | 1.93409i | 0.0485499 | + | 0.0840910i | ||||
\(530\) | −17.7432 | − | 3.77143i | −0.770714 | − | 0.163820i | ||||
\(531\) | −8.64547 | + | 8.32438i | −0.375181 | + | 0.361247i | ||||
\(532\) | 3.78479 | − | 2.74981i | 0.164091 | − | 0.119219i | ||||
\(533\) | −3.06641 | − | 24.5002i | −0.132821 | − | 1.06122i | ||||
\(534\) | 18.5881 | + | 2.62627i | 0.804385 | + | 0.113650i | ||||
\(535\) | 0.168268 | + | 1.60096i | 0.00727486 | + | 0.0692157i | ||||
\(536\) | −4.00203 | + | 1.78182i | −0.172861 | + | 0.0769628i | ||||
\(537\) | 11.9410 | + | 7.47375i | 0.515293 | + | 0.322516i | ||||
\(538\) | 61.1830 | 2.63778 | ||||||||
\(539\) | 19.5746 | − | 8.60491i | 0.843138 | − | 0.370640i | ||||
\(540\) | 10.5701 | + | 6.13370i | 0.454867 | + | 0.263952i | ||||
\(541\) | −5.55092 | − | 17.0840i | −0.238653 | − | 0.734498i | −0.996616 | − | 0.0822003i | \(-0.973805\pi\) |
0.757963 | − | 0.652298i | \(-0.226195\pi\) | |||||||
\(542\) | −6.14268 | − | 0.645621i | −0.263851 | − | 0.0277318i | ||||
\(543\) | 2.81638 | + | 9.84912i | 0.120862 | + | 0.422666i | ||||
\(544\) | 41.1624 | − | 37.0628i | 1.76482 | − | 1.58905i | ||||
\(545\) | 5.80622 | − | 17.8697i | 0.248711 | − | 0.765454i | ||||
\(546\) | −3.15037 | + | 9.19728i | −0.134823 | + | 0.393607i | ||||
\(547\) | 2.58602 | − | 3.55935i | 0.110570 | − | 0.152187i | −0.750145 | − | 0.661273i | \(-0.770017\pi\) |
0.860716 | + | 0.509086i | \(0.170017\pi\) | |||||||
\(548\) | 18.1659 | + | 3.86129i | 0.776010 | + | 0.164946i | ||||
\(549\) | −5.67992 | − | 1.01011i | −0.242413 | − | 0.0431104i | ||||
\(550\) | −11.2488 | − | 25.5891i | −0.479652 | − | 1.09112i | ||||
\(551\) | 5.52868 | 0.235530 | ||||||||
\(552\) | 3.69918 | − | 5.91029i | 0.157448 | − | 0.251559i | ||||
\(553\) | −9.72142 | − | 1.02176i | −0.413397 | − | 0.0434498i | ||||
\(554\) | 14.9144 | − | 10.8359i | 0.633651 | − | 0.460375i | ||||
\(555\) | −3.44512 | − | 8.54500i | −0.146237 | − | 0.362715i | ||||
\(556\) | −0.551494 | + | 0.496568i | −0.0233886 | + | 0.0210592i | ||||
\(557\) | −1.04080 | + | 0.109393i | −0.0441002 | + | 0.00463512i | −0.126553 | − | 0.991960i | \(-0.540391\pi\) |
0.0824527 | + | 0.996595i | \(0.473725\pi\) | |||||||
\(558\) | −51.3328 | − | 14.8009i | −2.17309 | − | 0.626572i | ||||
\(559\) | 0.307202 | − | 0.0716802i | 0.0129933 | − | 0.00303175i | ||||
\(560\) | −2.26640 | −0.0957731 | ||||||||
\(561\) | 18.3269 | + | 34.9253i | 0.773764 | + | 1.47455i | ||||
\(562\) | −11.1087 | + | 19.2408i | −0.468591 | + | 0.811624i | ||||
\(563\) | −8.25707 | + | 9.17040i | −0.347994 | + | 0.386486i | −0.891577 | − | 0.452869i | \(-0.850401\pi\) |
0.543583 | + | 0.839355i | \(0.317067\pi\) | |||||||
\(564\) | 45.6594 | + | 22.3110i | 1.92261 | + | 0.939464i | ||||
\(565\) | 1.15137 | − | 2.58601i | 0.0484383 | − | 0.108794i | ||||
\(566\) | 35.5987 | − | 7.56674i | 1.49633 | − | 0.318054i | ||||
\(567\) | −2.48883 | − | 6.21245i | −0.104521 | − | 0.260898i | ||||
\(568\) | 0.384545 | − | 0.863702i | 0.0161351 | − | 0.0362401i | ||||
\(569\) | 37.4667 | − | 16.6813i | 1.57069 | − | 0.699315i | 0.577559 | − | 0.816349i | \(-0.304005\pi\) |
0.993128 | + | 0.117034i | \(0.0373385\pi\) | |||||||
\(570\) | −0.336716 | + | 9.44388i | −0.0141035 | + | 0.395560i | ||||
\(571\) | 38.1716i | 1.59743i | 0.601709 | + | 0.798716i | \(0.294487\pi\) | ||||
−0.601709 | + | 0.798716i | \(0.705513\pi\) | |||||||
\(572\) | 24.4589 | − | 14.6175i | 1.02268 | − | 0.611190i | ||||
\(573\) | 5.00597 | + | 28.5124i | 0.209128 | + | 1.19112i | ||||
\(574\) | 10.4279 | + | 2.21651i | 0.435251 | + | 0.0925154i | ||||
\(575\) | 8.22522 | + | 18.4741i | 0.343015 | + | 0.770425i | ||||
\(576\) | 32.0580 | + | 2.28893i | 1.33575 | + | 0.0953720i | ||||
\(577\) | −41.5233 | − | 13.4917i | −1.72864 | − | 0.561669i | −0.735386 | − | 0.677648i | \(-0.762999\pi\) |
−0.993252 | + | 0.115980i | \(0.962999\pi\) | |||||||
\(578\) | 13.1194 | + | 61.7218i | 0.545694 | + | 2.56729i | ||||
\(579\) | −20.0944 | − | 5.02575i | −0.835096 | − | 0.208863i | ||||
\(580\) | 3.98423 | + | 2.89471i | 0.165436 | + | 0.120196i | ||||
\(581\) | 4.75986 | + | 4.28579i | 0.197472 | + | 0.177805i | ||||
\(582\) | −8.29259 | + | 22.7319i | −0.343739 | + | 0.942266i | ||||
\(583\) | 0.137158 | − | 29.1144i | 0.00568049 | − | 1.20580i | ||||
\(584\) | 12.6577i | 0.523781i | ||||||||
\(585\) | −5.82263 | − | 8.94896i | −0.240736 | − | 0.369994i | ||||
\(586\) | 22.5054 | + | 16.3511i | 0.929689 | + | 0.675459i | ||||
\(587\) | −0.136093 | − | 1.29484i | −0.00561715 | − | 0.0534436i | 0.991354 | − | 0.131213i | \(-0.0418870\pi\) |
−0.996971 | + | 0.0777689i | \(0.975220\pi\) | |||||||
\(588\) | 20.9552 | + | 16.3967i | 0.864177 | + | 0.676190i | ||||
\(589\) | −4.66954 | − | 21.9684i | −0.192405 | − | 0.905194i | ||||
\(590\) | −4.85902 | − | 6.68786i | −0.200042 | − | 0.275335i | ||||
\(591\) | −8.82603 | + | 0.610678i | −0.363054 | + | 0.0251199i | ||||
\(592\) | −12.3668 | − | 11.1351i | −0.508271 | − | 0.457650i | ||||
\(593\) | 35.1603i | 1.44386i | 0.691967 | + | 0.721929i | \(0.256744\pi\) | ||||
−0.691967 | + | 0.721929i | \(0.743256\pi\) | |||||||
\(594\) | −11.3858 | + | 34.2353i | −0.467166 | + | 1.40469i | ||||
\(595\) | 2.51969 | − | 4.36422i | 0.103297 | − | 0.178916i | ||||
\(596\) | 4.73382 | − | 22.2709i | 0.193905 | − | 0.912251i | ||||
\(597\) | −23.0215 | − | 11.2492i | −0.942209 | − | 0.460401i | ||||
\(598\) | −32.4555 | + | 19.6046i | −1.32720 | + | 0.801693i | ||||
\(599\) | −10.7159 | − | 3.48182i | −0.437842 | − | 0.142263i | 0.0817980 | − | 0.996649i | \(-0.473934\pi\) |
−0.519640 | + | 0.854386i | \(0.673934\pi\) | |||||||
\(600\) | 3.44347 | − | 4.40079i | 0.140579 | − | 0.179662i | ||||
\(601\) | 34.1353 | − | 3.58776i | 1.39241 | − | 0.146348i | 0.621559 | − | 0.783367i | \(-0.286500\pi\) |
0.770848 | + | 0.637019i | \(0.219833\pi\) | |||||||
\(602\) | −0.0142369 | + | 0.135455i | −0.000580254 | + | 0.00552075i | ||||
\(603\) | −12.9378 | + | 10.0776i | −0.526867 | + | 0.410392i | ||||
\(604\) | −6.99607 | − | 12.1175i | −0.284666 | − | 0.493056i | ||||
\(605\) | −8.84359 | + | 6.29880i | −0.359543 | + | 0.256083i | ||||
\(606\) | −5.24623 | − | 29.8809i | −0.213113 | − | 1.21383i | ||||
\(607\) | 27.4298 | + | 24.6979i | 1.11334 | + | 1.00246i | 0.999960 | + | 0.00890559i | \(0.00283477\pi\) |
0.113381 | + | 0.993552i | \(0.463832\pi\) | |||||||
\(608\) | 8.66356 | + | 19.4587i | 0.351354 | + | 0.789153i | ||||
\(609\) | −0.741473 | − | 2.59299i | −0.0300460 | − | 0.105073i | ||||
\(610\) | 1.22793 | − | 3.77919i | 0.0497175 | − | 0.153015i | ||||
\(611\) | −26.8014 | − | 35.3942i | −1.08427 | − | 1.43190i | ||||
\(612\) | −27.5050 | + | 40.6492i | −1.11182 | + | 1.64314i | ||||
\(613\) | 3.82392 | − | 1.70252i | 0.154447 | − | 0.0687641i | −0.328058 | − | 0.944658i | \(-0.606394\pi\) |
0.482504 | + | 0.875894i | \(0.339727\pi\) | |||||||
\(614\) | 2.31963 | − | 10.9130i | 0.0936125 | − | 0.440412i | ||||
\(615\) | −8.97407 | + | 7.51894i | −0.361870 | + | 0.303193i | ||||
\(616\) | 0.401808 | + | 1.93514i | 0.0161893 | + | 0.0779690i | ||||
\(617\) | −22.9696 | − | 39.7845i | −0.924721 | − | 1.60166i | −0.792010 | − | 0.610508i | \(-0.790965\pi\) |
−0.132711 | − | 0.991155i | \(-0.542368\pi\) | |||||||
\(618\) | 47.3886 | + | 29.6600i | 1.90625 | + | 1.19310i | ||||
\(619\) | 28.5930 | − | 39.3549i | 1.14925 | − | 1.58181i | 0.404389 | − | 0.914587i | \(-0.367484\pi\) |
0.744861 | − | 0.667220i | \(-0.232516\pi\) | |||||||
\(620\) | 8.13718 | − | 18.2764i | 0.326797 | − | 0.733998i | ||||
\(621\) | 8.12042 | − | 24.8064i | 0.325861 | − | 0.995447i | ||||
\(622\) | −41.6326 | − | 46.2377i | −1.66931 | − | 1.85396i | ||||
\(623\) | 3.11451 | − | 2.26283i | 0.124780 | − | 0.0906582i | ||||
\(624\) | −16.5454 | − | 9.90536i | −0.662345 | − | 0.396532i | ||||
\(625\) | 3.50285 | + | 10.7807i | 0.140114 | + | 0.431226i | ||||
\(626\) | −10.0549 | − | 5.80519i | −0.401874 | − | 0.232022i | ||||
\(627\) | −14.9511 | + | 2.55245i | −0.597091 | + | 0.101935i | ||||
\(628\) | 21.1653 | + | 36.6594i | 0.844589 | + | 1.46287i | ||||
\(629\) | 35.1907 | − | 11.4342i | 1.40315 | − | 0.455910i | ||||
\(630\) | 4.47441 | − | 1.10863i | 0.178265 | − | 0.0441690i | ||||
\(631\) | −9.37389 | + | 21.0541i | −0.373169 | + | 0.838150i | 0.625168 | + | 0.780490i | \(0.285031\pi\) |
−0.998336 | + | 0.0576599i | \(0.981636\pi\) | |||||||
\(632\) | −3.25533 | + | 10.0189i | −0.129490 | + | 0.398530i | ||||
\(633\) | −4.60996 | − | 11.4342i | −0.183230 | − | 0.454468i | ||||
\(634\) | 23.7160 | − | 2.49265i | 0.941882 | − | 0.0989958i | ||||
\(635\) | 5.44437 | + | 12.2283i | 0.216053 | + | 0.485264i | ||||
\(636\) | 32.0013 | − | 16.9853i | 1.26893 | − | 0.673512i | ||||
\(637\) | −9.87306 | − | 21.0443i | −0.391185 | − | 0.833804i | ||||
\(638\) | −5.97610 | + | 13.2541i | −0.236596 | + | 0.524736i | ||||
\(639\) | 0.619697 | − | 3.48461i | 0.0245149 | − | 0.137849i | ||||
\(640\) | −1.29156 | + | 6.07632i | −0.0510534 | + | 0.240187i | ||||
\(641\) | 26.2774 | + | 2.76187i | 1.03790 | + | 0.109087i | 0.608117 | − | 0.793847i | \(-0.291925\pi\) |
0.429778 | + | 0.902935i | \(0.358592\pi\) | |||||||
\(642\) | −4.25104 | − | 4.11120i | −0.167775 | − | 0.162256i | ||||
\(643\) | 6.92106 | + | 32.5610i | 0.272940 | + | 1.28408i | 0.874411 | + | 0.485186i | \(0.161248\pi\) |
−0.601471 | + | 0.798895i | \(0.705418\pi\) | |||||||
\(644\) | −1.85052 | − | 8.70602i | −0.0729208 | − | 0.343065i | ||||
\(645\) | −0.107519 | − | 0.103983i | −0.00423357 | − | 0.00409431i | ||||
\(646\) | −37.7437 | − | 3.96703i | −1.48501 | − | 0.156081i | ||||
\(647\) | −7.54734 | + | 35.5075i | −0.296717 | + | 1.39594i | 0.536922 | + | 0.843632i | \(0.319587\pi\) |
−0.833639 | + | 0.552310i | \(0.813746\pi\) | |||||||
\(648\) | −7.10651 | + | 1.23160i | −0.279170 | + | 0.0483819i | ||||
\(649\) | 8.92459 | − | 9.81835i | 0.350321 | − | 0.385404i | ||||
\(650\) | −27.5103 | + | 12.9066i | −1.07904 | + | 0.506240i | ||||
\(651\) | −9.67712 | + | 5.13632i | −0.379276 | + | 0.201308i | ||||
\(652\) | 1.82229 | + | 4.09292i | 0.0713662 | + | 0.160291i | ||||
\(653\) | 0.346162 | − | 0.0363831i | 0.0135464 | − | 0.00142378i | −0.0977529 | − | 0.995211i | \(-0.531165\pi\) |
0.111299 | + | 0.993787i | \(0.464499\pi\) | |||||||
\(654\) | 25.8107 | + | 64.0187i | 1.00928 | + | 2.50333i | ||||
\(655\) | 3.60684 | − | 11.1007i | 0.140931 | − | 0.433741i | ||||
\(656\) | −8.60097 | + | 19.3181i | −0.335812 | + | 0.754245i | ||||
\(657\) | 11.3960 | + | 45.9939i | 0.444600 | + | 1.79439i | ||||
\(658\) | 18.2307 | − | 5.92351i | 0.710706 | − | 0.230922i | ||||
\(659\) | −8.49112 | − | 14.7071i | −0.330767 | − | 0.572906i | 0.651895 | − | 0.758309i | \(-0.273974\pi\) |
−0.982662 | + | 0.185403i | \(0.940641\pi\) | |||||||
\(660\) | −12.1109 | − | 5.98872i | −0.471417 | − | 0.233111i | ||||
\(661\) | −2.82518 | − | 1.63112i | −0.109887 | − | 0.0634433i | 0.444049 | − | 0.896002i | \(-0.353542\pi\) |
−0.553936 | + | 0.832559i | \(0.686875\pi\) | |||||||
\(662\) | 12.7994 | + | 39.3925i | 0.497463 | + | 1.53103i | ||||
\(663\) | 37.4683 | − | 20.8477i | 1.45515 | − | 0.809658i | ||||
\(664\) | 5.58439 | − | 4.05730i | 0.216716 | − | 0.157454i | ||||
\(665\) | 1.29671 | + | 1.44014i | 0.0502843 | + | 0.0558464i | ||||
\(666\) | 29.8617 | + | 15.9339i | 1.15712 | + | 0.617428i | ||||
\(667\) | 4.27825 | − | 9.60911i | 0.165655 | − | 0.372066i | ||||
\(668\) | −20.4874 | + | 28.1985i | −0.792681 | + | 1.09103i | ||||
\(669\) | −11.4654 | − | 7.17606i | −0.443278 | − | 0.277443i | ||||
\(670\) | −5.64794 | − | 9.78252i | −0.218199 | − | 0.377932i | ||||
\(671\) | 6.33976 | + | 0.696547i | 0.244744 | + | 0.0268899i | ||||
\(672\) | 7.96436 | − | 6.67295i | 0.307232 | − | 0.257415i | ||||
\(673\) | −3.11548 | + | 14.6572i | −0.120093 | + | 0.564992i | 0.876420 | + | 0.481548i | \(0.159925\pi\) |
−0.996512 | + | 0.0834440i | \(0.973408\pi\) | |||||||
\(674\) | −41.7845 | + | 18.6036i | −1.60948 | + | 0.716586i | ||||
\(675\) | 8.55028 | − | 19.0912i | 0.329100 | − | 0.734820i | ||||
\(676\) | −16.5376 | − | 26.1924i | −0.636061 | − | 1.00740i | ||||
\(677\) | 2.81512 | − | 8.66404i | 0.108194 | − | 0.332986i | −0.882273 | − | 0.470738i | \(-0.843988\pi\) |
0.990467 | + | 0.137752i | \(0.0439877\pi\) | |||||||
\(678\) | 2.85909 | + | 9.99849i | 0.109803 | + | 0.383990i | ||||
\(679\) | 2.01829 | + | 4.53316i | 0.0774550 | + | 0.173967i | ||||
\(680\) | −4.03597 | − | 3.63400i | −0.154772 | − | 0.139358i | ||||
\(681\) | −1.44211 | − | 8.21378i | −0.0552616 | − | 0.314753i | ||||
\(682\) | 57.7133 | + | 12.5518i | 2.20996 | + | 0.480633i | ||||
\(683\) | 15.2550 | + | 26.4224i | 0.583715 | + | 1.01102i | 0.995034 | + | 0.0995328i | \(0.0317348\pi\) |
−0.411319 | + | 0.911491i | \(0.634932\pi\) | |||||||
\(684\) | −11.5982 | − | 14.8899i | −0.443467 | − | 0.569329i | ||||
\(685\) | −0.804148 | + | 7.65095i | −0.0307249 | + | 0.292328i | ||||
\(686\) | 20.8190 | − | 2.18816i | 0.794872 | − | 0.0835444i | ||||
\(687\) | −0.523134 | + | 0.668570i | −0.0199588 | + | 0.0255075i | ||||
\(688\) | −0.256940 | − | 0.0834849i | −0.00979575 | − | 0.00318283i | ||||
\(689\) | −31.6449 | + | 0.626373i | −1.20557 | + | 0.0238629i | ||||
\(690\) | 16.1533 | + | 7.89317i | 0.614947 | + | 0.300488i | ||||
\(691\) | 1.69622 | − | 7.98008i | 0.0645272 | − | 0.303576i | −0.934035 | − | 0.357181i | \(-0.883738\pi\) |
0.998562 | + | 0.0536049i | \(0.0170711\pi\) | |||||||
\(692\) | 7.33779 | − | 12.7094i | 0.278941 | − | 0.483140i | ||||
\(693\) | 3.20227 | + | 6.66988i | 0.121644 | + | 0.253368i | ||||
\(694\) | 21.4930i | 0.815864i | ||||||||
\(695\) | −0.228449 | − | 0.205696i | −0.00866556 | − | 0.00780251i | ||||
\(696\) | −2.89954 | + | 0.200621i | −0.109907 | + | 0.00760451i | ||||
\(697\) | −27.6371 | − | 38.0392i | −1.04683 | − | 1.44084i | ||||
\(698\) | 9.40023 | + | 44.2246i | 0.355804 | + | 1.67393i | ||||
\(699\) | 20.9916 | + | 16.4253i | 0.793977 | + | 0.621260i | ||||
\(700\) | −0.745607 | − | 7.09398i | −0.0281813 | − | 0.268127i | ||||
\(701\) | −25.6160 | − | 18.6111i | −0.967503 | − | 0.702932i | −0.0126222 | − | 0.999920i | \(-0.504018\pi\) |
−0.954881 | + | 0.296988i | \(0.904018\pi\) | |||||||
\(702\) | 37.5097 | + | 11.4621i | 1.41571 | + | 0.432611i | ||||
\(703\) | 14.2291i | 0.536661i | ||||||||
\(704\) | −35.5313 | − | 0.167387i | −1.33913 | − | 0.00630864i | ||||
\(705\) | −7.21438 | + | 19.7763i | −0.271709 | + | 0.744817i | ||||
\(706\) | 31.2571 | + | 28.1440i | 1.17638 | + | 1.05922i | ||||
\(707\) | −5.03326 | − | 3.65688i | −0.189295 | − | 0.137531i | ||||
\(708\) | 16.0174 | + | 4.00605i | 0.601969 | + | 0.150556i | ||||
\(709\) | −2.85229 | − | 13.4190i | −0.107120 | − | 0.503960i | −0.998694 | − | 0.0510856i | \(-0.983732\pi\) |
0.891574 | − | 0.452875i | \(-0.149601\pi\) | |||||||
\(710\) | 2.31852 | + | 0.753332i | 0.0870124 | + | 0.0282720i | ||||
\(711\) | −2.80858 | + | 39.3360i | −0.105330 | + | 1.47522i | ||||
\(712\) | −1.68750 | − | 3.79018i | −0.0632417 | − | 0.142043i | ||||
\(713\) | −41.7956 | − | 8.88393i | −1.56526 | − | 0.332706i | ||||
\(714\) | 3.20140 | + | 18.2341i | 0.119809 | + | 0.682396i | ||||
\(715\) | 7.08100 | + | 9.44335i | 0.264814 | + | 0.353161i | ||||
\(716\) | − | 19.3796i | − | 0.724251i | ||||||
\(717\) | −0.795340 | + | 22.3069i | −0.0297025 | + | 0.833066i | ||||
\(718\) | −22.3269 | + | 9.94059i | −0.833234 | + | 0.370980i | ||||
\(719\) | 12.1332 | − | 27.2516i | 0.452492 | − | 1.01631i | −0.532926 | − | 0.846162i | \(-0.678908\pi\) |
0.985418 | − | 0.170151i | \(-0.0544256\pi\) | |||||||
\(720\) | 0.305714 | + | 9.13848i | 0.0113933 | + | 0.340571i | ||||
\(721\) | 11.2141 | − | 2.38362i | 0.417634 | − | 0.0887707i | ||||
\(722\) | −10.2426 | + | 23.0052i | −0.381189 | + | 0.856165i | ||||
\(723\) | −12.9542 | − | 6.32993i | −0.481771 | − | 0.235413i | ||||
\(724\) | 9.42977 | − | 10.4728i | 0.350455 | − | 0.389219i | ||||
\(725\) | 4.21486 | − | 7.30035i | 0.156536 | − | 0.271128i | ||||
\(726\) | 10.0420 | − | 38.6020i | 0.372693 | − | 1.43265i | ||||
\(727\) | −20.4727 | −0.759292 | −0.379646 | − | 0.925132i | \(-0.623954\pi\) | ||||
−0.379646 | + | 0.925132i | \(0.623954\pi\) | |||||||
\(728\) | 2.09239 | − | 0.488221i | 0.0775490 | − | 0.0180947i | ||||
\(729\) | −24.7138 | + | 10.8733i | −0.915325 | + | 0.402716i | ||||
\(730\) | −32.4594 | + | 3.41163i | −1.20138 | + | 0.126270i | ||||
\(731\) | 0.446414 | − | 0.401953i | 0.0165112 | − | 0.0148668i | ||||
\(732\) | 2.96767 | + | 7.36077i | 0.109688 | + | 0.272062i | ||||
\(733\) | 19.1664 | − | 13.9252i | 0.707928 | − | 0.514339i | −0.174577 | − | 0.984644i | \(-0.555856\pi\) |
0.882504 | + | 0.470304i | \(0.155856\pi\) | |||||||
\(734\) | 36.3807 | + | 3.82377i | 1.34284 | + | 0.141138i | ||||
\(735\) | −5.84756 | + | 9.34282i | −0.215691 | + | 0.344615i | ||||
\(736\) | 40.5242 | 1.49374 | ||||||||
\(737\) | 13.5305 | − | 12.0680i | 0.498402 | − | 0.444529i | ||||
\(738\) | 7.53069 | − | 42.3457i | 0.277208 | − | 1.55877i | ||||
\(739\) | 2.49965 | + | 0.531318i | 0.0919512 | + | 0.0195448i | 0.253658 | − | 0.967294i | \(-0.418366\pi\) |
−0.161706 | + | 0.986839i | \(0.551700\pi\) | |||||||
\(740\) | −7.45010 | + | 10.2542i | −0.273871 | + | 0.376951i | ||||
\(741\) | 3.17218 | + | 16.1807i | 0.116533 | + | 0.594414i | ||||
\(742\) | 4.22295 | − | 12.9969i | 0.155030 | − | 0.477132i | ||||
\(743\) | −18.4458 | + | 16.6087i | −0.676711 | + | 0.609313i | −0.934107 | − | 0.356993i | \(-0.883802\pi\) |
0.257397 | + | 0.966306i | \(0.417135\pi\) | |||||||
\(744\) | 3.24613 | + | 11.3520i | 0.119009 | + | 0.416185i | ||||
\(745\) | 9.37985 | + | 0.985862i | 0.343651 | + | 0.0361192i | ||||
\(746\) | −13.9778 | − | 43.0193i | −0.511764 | − | 1.57505i | ||||
\(747\) | 16.6389 | − | 19.7706i | 0.608785 | − | 0.723367i | ||||
\(748\) | 27.3512 | − | 46.8625i | 1.00006 | − | 1.71346i | ||||
\(749\) | −1.21276 | −0.0443132 | ||||||||
\(750\) | 27.3827 | + | 17.1385i | 0.999873 | + | 0.625809i | ||||
\(751\) | 0.305653 | − | 0.136085i | 0.0111534 | − | 0.00496582i | −0.401152 | − | 0.916011i | \(-0.631390\pi\) |
0.412306 | + | 0.911046i | \(0.364724\pi\) | |||||||
\(752\) | 3.97442 | + | 37.8141i | 0.144932 | + | 1.37894i | ||||
\(753\) | 6.49876 | + | 0.918197i | 0.236828 | + | 0.0334610i | ||||
\(754\) | 14.5636 | + | 6.14174i | 0.530375 | + | 0.223669i | ||||
\(755\) | 4.68910 | − | 3.40683i | 0.170654 | − | 0.123987i | ||||
\(756\) | −5.42800 | + | 7.43657i | −0.197415 | + | 0.270465i | ||||
\(757\) | −9.96180 | − | 2.11745i | −0.362068 | − | 0.0769599i | 0.0232858 | − | 0.999729i | \(-0.492587\pi\) |
−0.385354 | + | 0.922769i | \(0.625921\pi\) | |||||||
\(758\) | 14.6811 | + | 25.4284i | 0.533241 | + | 0.923601i | ||||
\(759\) | −7.13334 | + | 27.9609i | −0.258924 | + | 1.01492i | ||||
\(760\) | 1.80867 | − | 1.04424i | 0.0656075 | − | 0.0378785i | ||||
\(761\) | −19.0552 | − | 17.1573i | −0.690749 | − | 0.621953i | 0.247103 | − | 0.968989i | \(-0.420521\pi\) |
−0.937852 | + | 0.347036i | \(0.887188\pi\) | |||||||
\(762\) | −44.1815 | − | 21.5889i | −1.60053 | − | 0.782082i | ||||
\(763\) | 12.9315 | + | 5.75747i | 0.468151 | + | 0.208434i | ||||
\(764\) | 29.5955 | − | 26.6479i | 1.07073 | − | 0.964089i | ||||
\(765\) | −17.9371 | − | 9.57105i | −0.648516 | − | 0.346042i | ||||
\(766\) | −20.8418 | − | 28.6863i | −0.753046 | − | 1.03648i | ||||
\(767\) | −10.9082 | − | 9.43764i | −0.393871 | − | 0.340773i | ||||
\(768\) | 6.69971 | + | 12.6226i | 0.241755 | + | 0.455480i | ||||
\(769\) | 12.0379 | − | 20.8503i | 0.434098 | − | 0.751881i | −0.563123 | − | 0.826373i | \(-0.690400\pi\) |
0.997222 | + | 0.0744925i | \(0.0237337\pi\) | |||||||
\(770\) | −4.85416 | + | 1.55197i | −0.174932 | + | 0.0559291i | ||||
\(771\) | 23.8744 | − | 20.0032i | 0.859816 | − | 0.720399i | ||||
\(772\) | 8.80560 | + | 27.1009i | 0.316921 | + | 0.975381i | ||||
\(773\) | 2.47086 | − | 23.5086i | 0.0888705 | − | 0.845547i | −0.855752 | − | 0.517387i | \(-0.826905\pi\) |
0.944622 | − | 0.328160i | \(-0.106428\pi\) | |||||||
\(774\) | 0.548097 | + | 0.0391339i | 0.0197009 | + | 0.00140664i | ||||
\(775\) | −32.5681 | − | 10.5820i | −1.16988 | − | 0.380118i | ||||
\(776\) | 5.23086 | − | 1.11185i | 0.187777 | − | 0.0399132i | ||||
\(777\) | 6.67356 | − | 1.90832i | 0.239413 | − | 0.0684607i | ||||
\(778\) | −33.1215 | + | 14.7467i | −1.18746 | + | 0.528693i | ||||
\(779\) | 17.1963 | − | 5.58742i | 0.616122 | − | 0.200190i | ||||
\(780\) | −6.18591 | + | 13.3215i | −0.221491 | + | 0.476987i | ||||
\(781\) | −0.427329 | + | 3.88942i | −0.0152910 | + | 0.139174i | ||||
\(782\) | −36.1021 | + | 62.5306i | −1.29101 | + | 2.23609i | ||||
\(783\) | −10.3553 | + | 3.33950i | −0.370069 | + | 0.119344i | ||||
\(784\) | −2.08093 | + | 19.7987i | −0.0743188 | + | 0.707096i | ||||
\(785\) | −14.1860 | + | 10.3068i | −0.506321 | + | 0.367864i | ||||
\(786\) | 16.0337 | + | 39.7686i | 0.571903 | + | 1.41850i | ||||
\(787\) | −23.7335 | + | 5.04470i | −0.846007 | + | 0.179824i | −0.610468 | − | 0.792041i | \(-0.709019\pi\) |
−0.235539 | + | 0.971865i | \(0.575685\pi\) | |||||||
\(788\) | 7.15397 | + | 9.84659i | 0.254850 | + | 0.350770i | ||||
\(789\) | 2.16051 | + | 31.2255i | 0.0769160 | + | 1.11166i | ||||
\(790\) | −26.5698 | − | 5.64758i | −0.945310 | − | 0.200932i | ||||
\(791\) | 1.84688 | + | 1.06630i | 0.0656674 | + | 0.0379131i | ||||
\(792\) | 7.74857 | − | 1.88118i | 0.275333 | − | 0.0668448i | ||||
\(793\) | 0.588146 | − | 6.90853i | 0.0208857 | − | 0.245329i | ||||
\(794\) | −10.3334 | − | 31.8028i | −0.366717 | − | 1.12864i | ||||
\(795\) | 8.38303 | + | 12.4480i | 0.297316 | + | 0.441486i | ||||
\(796\) | 3.68460 | + | 35.0566i | 0.130597 | + | 1.24255i | ||||
\(797\) | −4.92290 | − | 23.1604i | −0.174378 | − | 0.820385i | −0.975173 | − | 0.221446i | \(-0.928922\pi\) |
0.800794 | − | 0.598939i | \(-0.204411\pi\) | |||||||
\(798\) | −7.04923 | − | 0.995972i | −0.249540 | − | 0.0352570i | ||||
\(799\) | −77.2340 | − | 34.3868i | −2.73234 | − | 1.21652i | ||||
\(800\) | 32.2990 | + | 3.39476i | 1.14194 | + | 0.120023i | ||||
\(801\) | −9.54416 | − | 12.2529i | −0.337226 | − | 0.432936i | ||||
\(802\) | 9.56665 | − | 5.52331i | 0.337810 | − | 0.195035i | ||||
\(803\) | −15.9532 | − | 49.8975i | −0.562976 | − | 1.76084i | ||||
\(804\) | 21.1947 | + | 7.73182i | 0.747479 | + | 0.272680i | ||||
\(805\) | 3.50647 | − | 1.13932i | 0.123587 | − | 0.0401558i | ||||
\(806\) | 12.1040 | − | 63.0564i | 0.426345 | − | 2.22107i | ||||
\(807\) | −36.3867 | − | 35.1897i | −1.28087 | − | 1.23874i | ||||
\(808\) | −4.98268 | + | 4.48642i | −0.175290 | + | 0.157832i | ||||
\(809\) | −14.7387 | − | 16.3690i | −0.518186 | − | 0.575504i | 0.426080 | − | 0.904685i | \(-0.359894\pi\) |
−0.944267 | + | 0.329181i | \(0.893227\pi\) | |||||||
\(810\) | −5.07372 | − | 17.8919i | −0.178272 | − | 0.628658i | ||||
\(811\) | 33.9606 | + | 24.6738i | 1.19252 | + | 0.866416i | 0.993528 | − | 0.113585i | \(-0.0362335\pi\) |
0.198991 | + | 0.980001i | \(0.436234\pi\) | |||||||
\(812\) | −2.48259 | + | 2.75720i | −0.0871219 | + | 0.0967587i | ||||
\(813\) | 3.28183 | + | 3.91696i | 0.115099 | + | 0.137374i | ||||
\(814\) | −34.1120 | − | 15.3806i | −1.19563 | − | 0.539090i | ||||
\(815\) | −1.60725 | + | 0.927944i | −0.0562993 | + | 0.0325044i | ||||
\(816\) | −36.6982 | − | 1.30846i | −1.28470 | − | 0.0458051i | ||||
\(817\) | 0.0939579 | + | 0.211033i | 0.00328717 | + | 0.00738311i | ||||
\(818\) | −42.9595 | − | 59.1287i | −1.50204 | − | 2.06739i | ||||
\(819\) | 7.16346 | − | 3.65784i | 0.250311 | − | 0.127815i | ||||
\(820\) | 15.3180 | + | 4.97711i | 0.534926 | + | 0.173808i | ||||
\(821\) | 3.90870 | − | 0.410821i | 0.136415 | − | 0.0143378i | −0.0360750 | − | 0.999349i | \(-0.511486\pi\) |
0.172490 | + | 0.985011i | \(0.444819\pi\) | |||||||
\(822\) | −15.7867 | − | 23.4418i | −0.550625 | − | 0.817628i | ||||
\(823\) | −12.0829 | + | 13.4194i | −0.421182 | + | 0.467770i | −0.915972 | − | 0.401243i | \(-0.868578\pi\) |
0.494790 | + | 0.869013i | \(0.335245\pi\) | |||||||
\(824\) | − | 12.3554i | − | 0.430420i | ||||||
\(825\) | −8.02780 | + | 21.6881i | −0.279492 | + | 0.755084i | ||||
\(826\) | 5.39346 | − | 3.11392i | 0.187663 | − | 0.108347i | ||||
\(827\) | −6.03001 | + | 1.95927i | −0.209684 | + | 0.0681304i | −0.411976 | − | 0.911195i | \(-0.635161\pi\) |
0.202292 | + | 0.979325i | \(0.435161\pi\) | |||||||
\(828\) | −34.8543 | + | 8.63593i | −1.21127 | + | 0.300119i | ||||
\(829\) | 5.10129 | + | 48.5355i | 0.177175 | + | 1.68571i | 0.616480 | + | 0.787371i | \(0.288558\pi\) |
−0.439305 | + | 0.898338i | \(0.644775\pi\) | |||||||
\(830\) | 11.9097 | + | 13.2270i | 0.413390 | + | 0.459117i | ||||
\(831\) | −15.1022 | − | 2.13376i | −0.523890 | − | 0.0740195i | ||||
\(832\) | 0.764425 | + | 38.6194i | 0.0265017 | + | 1.33889i | ||||
\(833\) | −35.8112 | − | 26.0183i | −1.24078 | − | 0.901482i | ||||
\(834\) | 1.12860 | + | 0.0402397i | 0.0390803 | + | 0.00139339i | ||||
\(835\) | −12.5039 | − | 7.21915i | −0.432717 | − | 0.249829i | ||||
\(836\) | 13.8888 | + | 15.5720i | 0.480356 | + | 0.538570i | ||||
\(837\) | 22.0158 | + | 38.3267i | 0.760976 | + | 1.32477i | ||||
\(838\) | 38.8532 | − | 43.1508i | 1.34216 | − | 1.49062i | ||||
\(839\) | −0.973866 | + | 9.26572i | −0.0336216 | + | 0.319888i | 0.964765 | + | 0.263112i | \(0.0847488\pi\) |
−0.998387 | + | 0.0567762i | \(0.981918\pi\) | |||||||
\(840\) | −0.732325 | − | 0.708235i | −0.0252676 | − | 0.0244364i | ||||
\(841\) | 24.0775 | − | 5.11782i | 0.830258 | − | 0.176477i | ||||
\(842\) | 20.0294 | + | 22.2449i | 0.690258 | + | 0.766610i | ||||
\(843\) | 17.6730 | − | 5.05364i | 0.608690 | − | 0.174057i | ||||
\(844\) | −9.96908 | + | 13.7213i | −0.343150 | + | 0.472305i | ||||
\(845\) | 10.0743 | − | 7.94706i | 0.346567 | − | 0.273387i | ||||
\(846\) | −26.3436 | − | 72.7097i | −0.905711 | − | 2.49981i | ||||
\(847\) | −4.02290 | − | 7.12200i | −0.138229 | − | 0.244715i | ||||
\(848\) | 23.4751 | + | 13.5534i | 0.806139 | + | 0.465425i | ||||
\(849\) | −25.5233 | − | 15.9747i | −0.875956 | − | 0.548251i | ||||
\(850\) | −34.0127 | + | 46.8144i | −1.16663 | + | 1.60572i | ||||
\(851\) | 24.7309 | + | 11.0109i | 0.847763 | + | 0.377449i | ||||
\(852\) | −4.51581 | + | 1.82066i | −0.154709 | + | 0.0623746i | ||||
\(853\) | −3.07076 | + | 9.45084i | −0.105141 | + | 0.323591i | −0.989764 | − | 0.142717i | \(-0.954416\pi\) |
0.884623 | + | 0.466308i | \(0.154416\pi\) | |||||||
\(854\) | 2.73483 | + | 1.21762i | 0.0935838 | + | 0.0416662i | ||||
\(855\) | 5.63195 | − | 5.42279i | 0.192609 | − | 0.185455i | ||||
\(856\) | −0.271738 | + | 1.27843i | −0.00928783 | + | 0.0436958i | ||||
\(857\) | 37.4258 | 1.27844 | 0.639220 | − | 0.769024i | \(-0.279257\pi\) | ||||
0.639220 | + | 0.769024i | \(0.279257\pi\) | |||||||
\(858\) | −42.2196 | − | 9.88538i | −1.44135 | − | 0.337481i | ||||
\(859\) | −20.4265 | −0.696942 | −0.348471 | − | 0.937320i | \(-0.613299\pi\) | ||||
−0.348471 | + | 0.937320i | \(0.613299\pi\) | |||||||
\(860\) | −0.0427823 | + | 0.201275i | −0.00145887 | + | 0.00686342i | ||||
\(861\) | −4.92681 | − | 7.31585i | −0.167905 | − | 0.249324i | ||||
\(862\) | −66.8684 | − | 29.7717i | −2.27755 | − | 1.01403i | ||||
\(863\) | 6.56958 | − | 20.2191i | 0.223631 | − | 0.688265i | −0.774797 | − | 0.632210i | \(-0.782148\pi\) |
0.998428 | − | 0.0560549i | \(-0.0178522\pi\) | |||||||
\(864\) | −27.9806 | − | 31.2134i | −0.951920 | − | 1.06190i | ||||
\(865\) | 5.55359 | + | 2.47262i | 0.188828 | + | 0.0840715i | ||||
\(866\) | −23.8662 | + | 32.8490i | −0.811007 | + | 1.11625i | ||||
\(867\) | 27.6973 | − | 44.2528i | 0.940650 | − | 1.50290i | ||||
\(868\) | 13.0526 | + | 7.53595i | 0.443036 | + | 0.255787i | ||||
\(869\) | 0.205389 | − | 43.5978i | 0.00696733 | − | 1.47895i | ||||
\(870\) | −1.29598 | − | 7.38149i | −0.0439378 | − | 0.250256i | ||||
\(871\) | −13.4757 | − | 14.3833i | −0.456607 | − | 0.487361i | ||||
\(872\) | 8.96674 | − | 12.3417i | 0.303652 | − | 0.417941i | ||||
\(873\) | 18.0061 | − | 8.74953i | 0.609415 | − | 0.296127i | ||||
\(874\) | −18.5793 | − | 20.6344i | −0.628453 | − | 0.697968i | ||||
\(875\) | 6.47984 | − | 1.37733i | 0.219059 | − | 0.0465624i | ||||
\(876\) | 45.3173 | − | 46.8587i | 1.53113 | − | 1.58321i | ||||
\(877\) | −5.54541 | + | 52.7611i | −0.187255 | + | 1.78161i | 0.348567 | + | 0.937284i | \(0.386668\pi\) |
−0.535822 | + | 0.844331i | \(0.679998\pi\) | |||||||
\(878\) | −4.14774 | + | 4.60654i | −0.139980 | + | 0.155463i | ||||
\(879\) | −3.97993 | − | 22.6684i | −0.134240 | − | 0.764587i | ||||
\(880\) | −1.00927 | − | 10.0581i | −0.0340224 | − | 0.339059i | ||||
\(881\) | −38.9201 | − | 22.4705i | −1.31125 | − | 0.757052i | −0.328948 | − | 0.944348i | \(-0.606694\pi\) |
−0.982303 | + | 0.187296i | \(0.940028\pi\) | |||||||
\(882\) | −5.57648 | − | 40.1051i | −0.187770 | − | 1.35041i | ||||
\(883\) | 36.6184 | + | 26.6048i | 1.23231 | + | 0.895324i | 0.997061 | − | 0.0766117i | \(-0.0244102\pi\) |
0.235247 | + | 0.971936i | \(0.424410\pi\) | |||||||
\(884\) | −51.6581 | − | 28.4769i | −1.73745 | − | 0.957781i | ||||
\(885\) | −0.956816 | + | 6.77209i | −0.0321630 | + | 0.227641i | ||||
\(886\) | 0.463988 | + | 0.515311i | 0.0155880 | + | 0.0173122i | ||||
\(887\) | 1.66844 | + | 15.8741i | 0.0560207 | + | 0.533001i | 0.986160 | + | 0.165795i | \(0.0530190\pi\) |
−0.930140 | + | 0.367206i | \(0.880314\pi\) | |||||||
\(888\) | −0.516336 | − | 7.46252i | −0.0173271 | − | 0.250426i | ||||
\(889\) | −9.59066 | + | 3.11619i | −0.321660 | + | 0.104514i | ||||
\(890\) | 9.26469 | − | 5.34897i | 0.310553 | − | 0.179298i | ||||
\(891\) | 26.4620 | − | 13.8117i | 0.886509 | − | 0.462710i | ||||
\(892\) | 18.6077i | 0.623033i | ||||||||
\(893\) | 21.7543 | − | 24.1606i | 0.727980 | − | 0.808504i | ||||
\(894\) | −28.7390 | + | 19.3541i | −0.961176 | + | 0.647297i | ||||
\(895\) | 7.98378 | − | 0.839129i | 0.266868 | − | 0.0280490i | ||||
\(896\) | −4.45092 | − | 1.44619i | −0.148695 | − | 0.0483139i | ||||
\(897\) | 30.5776 | + | 7.00772i | 1.02096 | + | 0.233981i | ||||
\(898\) | 28.9225 | + | 39.8084i | 0.965155 | + | 1.32842i | ||||
\(899\) | 7.24467 | + | 16.2718i | 0.241623 | + | 0.542695i | ||||
\(900\) | −28.5034 | + | 3.96330i | −0.950113 | + | 0.132110i | ||||
\(901\) | −52.1972 | + | 30.1360i | −1.73894 | + | 1.00398i | ||||
\(902\) | −5.19299 | + | 47.2650i | −0.172908 | + | 1.57375i | ||||
\(903\) | 0.0863750 | − | 0.0723695i | 0.00287438 | − | 0.00240830i | ||||
\(904\) | 1.53786 | − | 1.70796i | 0.0511484 | − | 0.0568060i | ||||
\(905\) | 4.72276 | + | 3.43129i | 0.156990 | + | 0.114060i | ||||
\(906\) | −5.16634 | + | 20.6566i | −0.171640 | + | 0.686269i | ||||
\(907\) | 0.0821523 | + | 0.0912394i | 0.00272782 | + | 0.00302956i | 0.744507 | − | 0.667614i | \(-0.232685\pi\) |
−0.741779 | + | 0.670644i | \(0.766018\pi\) | |||||||
\(908\) | −8.52580 | + | 7.67666i | −0.282939 | + | 0.254759i | ||||
\(909\) | −14.0661 | + | 20.7881i | −0.466544 | + | 0.689498i | ||||
\(910\) | 1.81595 | + | 5.23411i | 0.0601981 | + | 0.173509i | ||||
\(911\) | 33.8250 | − | 10.9904i | 1.12067 | − | 0.364129i | 0.310648 | − | 0.950525i | \(-0.399454\pi\) |
0.810024 | + | 0.586396i | \(0.199454\pi\) | |||||||
\(912\) | 4.83952 | − | 13.2662i | 0.160252 | − | 0.439288i | ||||
\(913\) | −16.9003 | + | 23.0324i | −0.559320 | + | 0.762260i | ||||
\(914\) | −39.4752 | + | 22.7910i | −1.30572 | + | 0.753860i | ||||
\(915\) | −2.90390 | + | 1.54130i | −0.0959999 | + | 0.0509539i | ||||
\(916\) | 1.16146 | + | 0.122074i | 0.0383757 | + | 0.00403345i | ||||
\(917\) | 8.03309 | + | 3.57656i | 0.265276 | + | 0.118108i | ||||
\(918\) | 73.0909 | − | 15.3681i | 2.41236 | − | 0.507223i | ||||
\(919\) | 8.89445 | + | 41.8451i | 0.293401 | + | 1.38034i | 0.839836 | + | 0.542841i | \(0.182651\pi\) |
−0.546435 | + | 0.837502i | \(0.684015\pi\) | |||||||
\(920\) | −0.415333 | − | 3.95163i | −0.0136931 | − | 0.130281i | ||||
\(921\) | −7.65620 | + | 5.15601i | −0.252280 | + | 0.169896i | ||||
\(922\) | −16.7843 | − | 51.6568i | −0.552762 | − | 1.70123i | ||||
\(923\) | 4.23836 | + | 0.360825i | 0.139507 | + | 0.0118767i | ||||
\(924\) | 5.44071 | − | 8.60240i | 0.178986 | − | 0.282998i | ||||
\(925\) | 18.7888 | + | 10.8477i | 0.617773 | + | 0.356672i | ||||
\(926\) | 11.7798 | + | 2.50387i | 0.387107 | + | 0.0822822i | ||||
\(927\) | −11.1238 | − | 44.8952i | −0.365353 | − | 1.47455i | ||||
\(928\) | −9.92915 | − | 13.6663i | −0.325940 | − | 0.448618i | ||||
\(929\) | −32.1578 | + | 6.83536i | −1.05506 | + | 0.224261i | −0.702615 | − | 0.711570i | \(-0.747984\pi\) |
−0.352449 | + | 0.935831i | \(0.614651\pi\) | |||||||
\(930\) | −28.2361 | + | 11.3841i | −0.925898 | + | 0.373298i | ||||
\(931\) | 13.7713 | − | 10.0054i | 0.451335 | − | 0.327914i | ||||
\(932\) | 3.83286 | − | 36.4673i | 0.125550 | − | 1.19452i | ||||
\(933\) | −1.83419 | + | 51.4437i | −0.0600488 | + | 1.68419i | ||||
\(934\) | −37.5345 | + | 65.0116i | −1.22816 | + | 2.12724i | ||||
\(935\) | 20.4901 | + | 9.23869i | 0.670098 | + | 0.302137i | ||||
\(936\) | −2.25082 | − | 8.37095i | −0.0735703 | − | 0.273613i | ||||
\(937\) | 6.05279 | − | 1.96667i | 0.197736 | − | 0.0642483i | −0.208475 | − | 0.978028i | \(-0.566850\pi\) |
0.406211 | + | 0.913779i | \(0.366850\pi\) | |||||||
\(938\) | 7.77423 | − | 3.46131i | 0.253838 | − | 0.113016i | ||||
\(939\) | 2.64094 | + | 9.23559i | 0.0861838 | + | 0.301392i | ||||
\(940\) | 28.3272 | − | 6.02114i | 0.923933 | − | 0.196388i | ||||
\(941\) | 0.950939 | + | 0.308979i | 0.0309997 | + | 0.0100724i | 0.324476 | − | 0.945894i | \(-0.394812\pi\) |
−0.293476 | + | 0.955966i | \(0.594812\pi\) | |||||||
\(942\) | 15.6298 | − | 62.4927i | 0.509248 | − | 2.03612i | ||||
\(943\) | 3.59580 | − | 34.2117i | 0.117095 | − | 1.11409i | ||||
\(944\) | 3.81736 | + | 11.7486i | 0.124244 | + | 0.382385i | ||||
\(945\) | −3.29865 | − | 1.91416i | −0.107305 | − | 0.0622676i | ||||
\(946\) | −0.607480 | − | 0.00286183i | −0.0197509 | − | 9.30460e-5i | ||||
\(947\) | 29.2952 | − | 50.7408i | 0.951966 | − | 1.64885i | 0.210803 | − | 0.977529i | \(-0.432392\pi\) |
0.741163 | − | 0.671325i | \(-0.234275\pi\) | |||||||
\(948\) | 47.9208 | − | 25.4349i | 1.55640 | − | 0.826088i | ||||
\(949\) | −53.8031 | + | 18.6667i | −1.74652 | + | 0.605947i | ||||
\(950\) | −13.0797 | − | 18.0026i | −0.424360 | − | 0.584082i | ||||
\(951\) | −15.5380 | − | 12.1580i | −0.503854 | − | 0.394249i | ||||
\(952\) | 3.04057 | − | 2.73774i | 0.0985454 | − | 0.0887307i | ||||
\(953\) | −9.41627 | − | 4.19240i | −0.305023 | − | 0.135805i | 0.248517 | − | 0.968628i | \(-0.420057\pi\) |
−0.553540 | + | 0.832823i | \(0.686723\pi\) | |||||||
\(954\) | −52.9751 | − | 15.2744i | −1.71513 | − | 0.494528i | ||||
\(955\) | 12.2595 | + | 11.0385i | 0.396710 | + | 0.357199i | ||||
\(956\) | 26.5932 | − | 15.3536i | 0.860087 | − | 0.496571i | ||||
\(957\) | 11.1773 | − | 4.44530i | 0.361311 | − | 0.143696i | ||||
\(958\) | 3.86890 | + | 6.70114i | 0.124999 | + | 0.216504i | ||||
\(959\) | −5.66909 | − | 1.20500i | −0.183064 | − | 0.0389115i | ||||
\(960\) | 15.1916 | − | 10.2307i | 0.490306 | − | 0.330193i | ||||
\(961\) | 33.4583 | − | 24.3089i | 1.07930 | − | 0.784157i | ||||
\(962\) | −15.8069 | + | 37.4822i | −0.509636 | + | 1.20847i | ||||
\(963\) | 0.163589 | + | 4.89002i | 0.00527157 | + | 0.157579i | ||||
\(964\) | 2.07332 | + | 19.7263i | 0.0667770 | + | 0.635341i | ||||
\(965\) | −10.7834 | + | 4.80107i | −0.347129 | + | 0.154552i | ||||
\(966\) | −7.18594 | + | 11.4812i | −0.231204 | + | 0.369401i | ||||
\(967\) | 30.1161 | 0.968468 | 0.484234 | − | 0.874939i | \(-0.339098\pi\) | ||||
0.484234 | + | 0.874939i | \(0.339098\pi\) | |||||||
\(968\) | −8.40905 | + | 2.64494i | −0.270277 | + | 0.0850115i | ||||
\(969\) | 20.1653 | + | 24.0678i | 0.647801 | + | 0.773169i | ||||
\(970\) | 4.26110 | + | 13.1143i | 0.136816 | + | 0.421075i | ||||
\(971\) | 23.0048 | + | 2.41790i | 0.738258 | + | 0.0775940i | 0.466191 | − | 0.884684i | \(-0.345626\pi\) |
0.272067 | + | 0.962278i | \(0.412293\pi\) | |||||||
\(972\) | 30.7175 | + | 20.8834i | 0.985265 | + | 0.669835i | ||||
\(973\) | 0.172106 | − | 0.154965i | 0.00551747 | − | 0.00496796i | ||||
\(974\) | 3.90854 | − | 12.0293i | 0.125238 | − | 0.385442i | ||||
\(975\) | 23.7842 | + | 8.14688i | 0.761705 | + | 0.260909i | ||||
\(976\) | −3.49029 | + | 4.80397i | −0.111721 | + | 0.153771i | ||||
\(977\) | 54.7951 | + | 11.6470i | 1.75305 | + | 0.372622i | 0.968804 | − | 0.247829i | \(-0.0797171\pi\) |
0.784245 | + | 0.620451i | \(0.213050\pi\) | |||||||
\(978\) | 2.33657 | − | 6.40506i | 0.0747151 | − | 0.204811i | ||||
\(979\) | 11.4292 | + | 12.8143i | 0.365278 | + | 0.409546i | ||||
\(980\) | 15.1629 | 0.484361 | ||||||||
\(981\) | 21.4706 | − | 52.9183i | 0.685505 | − | 1.68955i | ||||
\(982\) | 47.3453 | + | 4.97620i | 1.51085 | + | 0.158797i | ||||
\(983\) | −17.9164 | + | 13.0171i | −0.571446 | + | 0.415180i | −0.835630 | − | 0.549292i | \(-0.814897\pi\) |
0.264184 | + | 0.964472i | \(0.414897\pi\) | |||||||
\(984\) | −8.81593 | + | 3.55436i | −0.281042 | + | 0.113309i | ||||
\(985\) | −3.74671 | + | 3.37355i | −0.119380 | + | 0.107490i | ||||
\(986\) | 29.9334 | − | 3.14612i | 0.953273 | − | 0.100193i | ||||
\(987\) | −14.2491 | − | 6.96266i | −0.453553 | − | 0.221624i | ||||
\(988\) | 16.5536 | − | 15.5090i | 0.526640 | − | 0.493406i | ||||
\(989\) | 0.439493 | 0.0139751 | ||||||||
\(990\) | 6.91254 | + | 19.3633i | 0.219695 | + | 0.615408i | ||||
\(991\) | 10.8561 | − | 18.8033i | 0.344855 | − | 0.597306i | −0.640473 | − | 0.767981i | \(-0.721262\pi\) |
0.985327 | + | 0.170675i | \(0.0545949\pi\) | |||||||
\(992\) | −45.9174 | + | 50.9965i | −1.45788 | + | 1.61914i | ||||
\(993\) | 15.0448 | − | 30.7891i | 0.477432 | − | 0.977064i | ||||
\(994\) | −0.747007 | + | 1.67781i | −0.0236936 | + | 0.0532168i | ||||
\(995\) | −14.2826 | + | 3.03586i | −0.452790 | + | 0.0962434i | ||||
\(996\) | −35.1992 | − | 4.97324i | −1.11533 | − | 0.157583i | ||||
\(997\) | 0.597326 | − | 1.34162i | 0.0189175 | − | 0.0424894i | −0.903840 | − | 0.427871i | \(-0.859264\pi\) |
0.922757 | + | 0.385382i | \(0.125930\pi\) | |||||||
\(998\) | 32.2072 | − | 14.3396i | 1.01950 | − | 0.453911i | ||||
\(999\) | −8.59483 | − | 26.6514i | −0.271928 | − | 0.843212i |
(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 | 429.2.bm.a.17.9 | ✓ | 416 | |
3.2 | odd | 2 | inner | 429.2.bm.a.17.44 | yes | 416 | |
11.2 | odd | 10 | inner | 429.2.bm.a.134.9 | yes | 416 | |
13.10 | even | 6 | inner | 429.2.bm.a.413.44 | yes | 416 | |
33.2 | even | 10 | inner | 429.2.bm.a.134.44 | yes | 416 | |
39.23 | odd | 6 | inner | 429.2.bm.a.413.9 | yes | 416 | |
143.101 | odd | 30 | inner | 429.2.bm.a.101.44 | yes | 416 | |
429.101 | even | 30 | inner | 429.2.bm.a.101.9 | yes | 416 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
429.2.bm.a.17.9 | ✓ | 416 | 1.1 | even | 1 | trivial | |
429.2.bm.a.17.44 | yes | 416 | 3.2 | odd | 2 | inner | |
429.2.bm.a.101.9 | yes | 416 | 429.101 | even | 30 | inner | |
429.2.bm.a.101.44 | yes | 416 | 143.101 | odd | 30 | inner | |
429.2.bm.a.134.9 | yes | 416 | 11.2 | odd | 10 | inner | |
429.2.bm.a.134.44 | yes | 416 | 33.2 | even | 10 | inner | |
429.2.bm.a.413.9 | yes | 416 | 39.23 | odd | 6 | inner | |
429.2.bm.a.413.44 | yes | 416 | 13.10 | even | 6 | inner |