Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [525,2,Mod(59,525)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(525, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([15, 21, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("525.59");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 525 = 3 \cdot 5^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 525.bp (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: | \(4.19214610612\) |
Analytic rank: | \(0\) |
Dimension: | \(608\) |
Relative dimension: | \(76\) over \(\Q(\zeta_{30})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{30}]$ |
Embedding invariants
Embedding label | 59.8 | ||
Character | \(\chi\) | \(=\) | 525.59 |
Dual form | 525.2.bp.a.89.8 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/525\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(176\) | \(451\) |
\(\chi(n)\) | \(e\left(\frac{7}{10}\right)\) | \(-1\) | \(e\left(\frac{1}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.243441 | + | 2.31618i | −0.172139 | + | 1.63779i | 0.478276 | + | 0.878210i | \(0.341262\pi\) |
−0.650414 | + | 0.759580i | \(0.725405\pi\) | |||||||
\(3\) | 1.63205 | + | 0.580002i | 0.942266 | + | 0.334865i | ||||
\(4\) | −3.34915 | − | 0.711884i | −1.67457 | − | 0.355942i | ||||
\(5\) | −1.08008 | + | 1.95791i | −0.483026 | + | 0.875606i | ||||
\(6\) | −1.74070 | + | 3.63894i | −0.710638 | + | 1.48559i | ||||
\(7\) | 2.37727 | − | 1.16128i | 0.898525 | − | 0.438922i | ||||
\(8\) | 1.02481 | − | 3.15403i | 0.362324 | − | 1.11512i | ||||
\(9\) | 2.32719 | + | 1.89319i | 0.775731 | + | 0.631063i | ||||
\(10\) | −4.27196 | − | 2.97830i | −1.35091 | − | 0.941820i | ||||
\(11\) | −0.850353 | − | 1.90992i | −0.256391 | − | 0.575864i | 0.738788 | − | 0.673938i | \(-0.235398\pi\) |
−0.995179 | + | 0.0980741i | \(0.968732\pi\) | |||||||
\(12\) | −5.05309 | − | 3.10435i | −1.45870 | − | 0.896148i | ||||
\(13\) | −4.72071 | + | 3.42980i | −1.30929 | + | 0.951255i | −0.309290 | + | 0.950968i | \(0.600091\pi\) |
−1.00000 | 0.000287256i | \(0.999909\pi\) | ||||||||
\(14\) | 2.11101 | + | 5.78891i | 0.564191 | + | 1.54715i | ||||
\(15\) | −2.89834 | + | 2.56897i | −0.748348 | + | 0.663306i | ||||
\(16\) | 0.799933 | + | 0.356153i | 0.199983 | + | 0.0890383i | ||||
\(17\) | −3.73554 | + | 3.36350i | −0.906002 | + | 0.815768i | −0.983441 | − | 0.181229i | \(-0.941993\pi\) |
0.0774385 | + | 0.996997i | \(0.475326\pi\) | |||||||
\(18\) | −4.95151 | + | 4.92933i | −1.16708 | + | 1.16185i | ||||
\(19\) | 1.12592 | + | 5.29702i | 0.258303 | + | 1.21522i | 0.895691 | + | 0.444677i | \(0.146681\pi\) |
−0.637388 | + | 0.770543i | \(0.719985\pi\) | |||||||
\(20\) | 5.01115 | − | 5.78846i | 1.12053 | − | 1.29434i | ||||
\(21\) | 4.55338 | − | 0.516444i | 0.993629 | − | 0.112697i | ||||
\(22\) | 4.63075 | − | 1.50462i | 0.987278 | − | 0.320786i | ||||
\(23\) | 0.0632820 | − | 0.602088i | 0.0131952 | − | 0.125544i | −0.985941 | − | 0.167092i | \(-0.946562\pi\) |
0.999137 | + | 0.0415481i | \(0.0132290\pi\) | |||||||
\(24\) | 3.50189 | − | 4.55316i | 0.714820 | − | 0.929409i | ||||
\(25\) | −2.66686 | − | 4.22940i | −0.533372 | − | 0.845881i | ||||
\(26\) | −6.79483 | − | 11.7690i | −1.33258 | − | 2.30809i | ||||
\(27\) | 2.70005 | + | 4.43956i | 0.519625 | + | 0.854394i | ||||
\(28\) | −8.78854 | + | 2.19695i | −1.66088 | + | 0.415185i | ||||
\(29\) | 8.93062 | − | 2.90173i | 1.65837 | − | 0.538838i | 0.677844 | − | 0.735206i | \(-0.262915\pi\) |
0.980530 | + | 0.196367i | \(0.0629145\pi\) | |||||||
\(30\) | −5.24464 | − | 7.33848i | −0.957535 | − | 1.33982i | ||||
\(31\) | 0.796493 | − | 0.717165i | 0.143054 | − | 0.128807i | −0.594497 | − | 0.804098i | \(-0.702649\pi\) |
0.737551 | + | 0.675291i | \(0.235982\pi\) | |||||||
\(32\) | 2.29669 | − | 3.97799i | 0.406002 | − | 0.703216i | ||||
\(33\) | −0.280061 | − | 3.61030i | −0.0487523 | − | 0.628473i | ||||
\(34\) | −6.88110 | − | 9.47102i | −1.18010 | − | 1.62427i | ||||
\(35\) | −0.293959 | + | 5.90877i | −0.0496881 | + | 0.998765i | ||||
\(36\) | −6.44639 | − | 7.99727i | −1.07440 | − | 1.33288i | ||||
\(37\) | 0.739042 | − | 1.65991i | 0.121498 | − | 0.272888i | −0.842550 | − | 0.538619i | \(-0.818946\pi\) |
0.964047 | + | 0.265730i | \(0.0856131\pi\) | |||||||
\(38\) | −12.5430 | + | 1.31832i | −2.03474 | + | 0.213860i | ||||
\(39\) | −9.69375 | + | 2.85959i | −1.55224 | + | 0.457901i | ||||
\(40\) | 5.06845 | + | 5.41309i | 0.801393 | + | 0.855885i | ||||
\(41\) | 9.48309 | − | 6.88987i | 1.48101 | − | 1.07602i | 0.503780 | − | 0.863832i | \(-0.331942\pi\) |
0.977230 | − | 0.212184i | \(-0.0680576\pi\) | |||||||
\(42\) | 0.0877004 | + | 10.6722i | 0.0135325 | + | 1.64676i | ||||
\(43\) | 5.61197i | 0.855817i | 0.903822 | + | 0.427909i | \(0.140750\pi\) | ||||
−0.903822 | + | 0.427909i | \(0.859250\pi\) | |||||||
\(44\) | 1.48832 | + | 7.00197i | 0.224372 | + | 1.05559i | ||||
\(45\) | −6.22026 | + | 2.51165i | −0.927261 | + | 0.374415i | ||||
\(46\) | 1.37914 | + | 0.293145i | 0.203343 | + | 0.0432219i | ||||
\(47\) | 5.14900 | + | 4.63618i | 0.751059 | + | 0.676256i | 0.952942 | − | 0.303153i | \(-0.0980394\pi\) |
−0.201883 | + | 0.979410i | \(0.564706\pi\) | |||||||
\(48\) | 1.09896 | + | 1.04522i | 0.158622 | + | 0.150865i | ||||
\(49\) | 4.30286 | − | 5.52136i | 0.614695 | − | 0.788765i | ||||
\(50\) | 10.4453 | − | 5.14733i | 1.47719 | − | 0.727942i | ||||
\(51\) | −8.04744 | + | 3.32278i | −1.12687 | + | 0.465283i | ||||
\(52\) | 18.2520 | − | 8.12631i | 2.53110 | − | 1.12692i | ||||
\(53\) | −3.77709 | − | 0.802844i | −0.518823 | − | 0.110279i | −0.0589446 | − | 0.998261i | \(-0.518774\pi\) |
−0.459878 | + | 0.887982i | \(0.652107\pi\) | |||||||
\(54\) | −10.9401 | + | 5.17304i | −1.48877 | + | 0.703962i | ||||
\(55\) | 4.65792 | + | 0.397950i | 0.628073 | + | 0.0536596i | ||||
\(56\) | −1.22646 | − | 8.68809i | −0.163893 | − | 1.16099i | ||||
\(57\) | −1.23473 | + | 9.29805i | −0.163544 | + | 1.23156i | ||||
\(58\) | 4.54687 | + | 21.3914i | 0.597034 | + | 2.80882i | ||||
\(59\) | −0.0397339 | − | 0.378042i | −0.00517291 | − | 0.0492169i | 0.991631 | − | 0.129105i | \(-0.0412104\pi\) |
−0.996804 | + | 0.0798880i | \(0.974544\pi\) | |||||||
\(60\) | 11.5358 | − | 6.54059i | 1.48926 | − | 0.844386i | ||||
\(61\) | −4.94258 | − | 0.519486i | −0.632832 | − | 0.0665134i | −0.217319 | − | 0.976101i | \(-0.569731\pi\) |
−0.415513 | + | 0.909587i | \(0.636398\pi\) | |||||||
\(62\) | 1.46719 | + | 2.01941i | 0.186333 | + | 0.256465i | ||||
\(63\) | 7.73090 | + | 1.79811i | 0.974002 | + | 0.226540i | ||||
\(64\) | 10.0715 | + | 7.31734i | 1.25893 | + | 0.914668i | ||||
\(65\) | −1.61651 | − | 12.9472i | −0.200503 | − | 1.60590i | ||||
\(66\) | 8.43031 | + | 0.230223i | 1.03770 | + | 0.0283385i | ||||
\(67\) | −3.60284 | + | 3.24401i | −0.440157 | + | 0.396319i | −0.859194 | − | 0.511650i | \(-0.829034\pi\) |
0.419037 | + | 0.907969i | \(0.362368\pi\) | |||||||
\(68\) | 14.9053 | − | 8.60559i | 1.80753 | − | 1.04358i | ||||
\(69\) | 0.452492 | − | 0.945935i | 0.0544736 | − | 0.113877i | ||||
\(70\) | −13.6142 | − | 2.11930i | −1.62721 | − | 0.253305i | ||||
\(71\) | −4.77672 | + | 1.55205i | −0.566892 | + | 0.184194i | −0.578420 | − | 0.815739i | \(-0.696330\pi\) |
0.0115279 | + | 0.999934i | \(0.496330\pi\) | |||||||
\(72\) | 8.35611 | − | 5.39989i | 0.984777 | − | 0.636383i | ||||
\(73\) | 14.5928 | − | 6.49713i | 1.70796 | − | 0.760431i | 0.709511 | − | 0.704694i | \(-0.248916\pi\) |
0.998445 | − | 0.0557369i | \(-0.0177508\pi\) | |||||||
\(74\) | 3.66476 | + | 2.11585i | 0.426019 | + | 0.245962i | ||||
\(75\) | −1.89939 | − | 8.44940i | −0.219323 | − | 0.975652i | ||||
\(76\) | − | 18.5420i | − | 2.12692i | ||||||
\(77\) | −4.23948 | − | 3.55292i | −0.483133 | − | 0.404892i | ||||
\(78\) | −4.26348 | − | 23.1486i | −0.482744 | − | 2.62107i | ||||
\(79\) | 0.594240 | − | 0.659970i | 0.0668572 | − | 0.0742524i | −0.708788 | − | 0.705421i | \(-0.750758\pi\) |
0.775645 | + | 0.631169i | \(0.217425\pi\) | |||||||
\(80\) | −1.56131 | + | 1.18153i | −0.174560 | + | 0.132099i | ||||
\(81\) | 1.83167 | + | 8.81164i | 0.203519 | + | 0.979071i | ||||
\(82\) | 13.6496 | + | 23.6418i | 1.50735 | + | 2.61081i | ||||
\(83\) | −0.0385828 | − | 0.0125363i | −0.00423501 | − | 0.00137604i | 0.306899 | − | 0.951742i | \(-0.400709\pi\) |
−0.311134 | + | 0.950366i | \(0.600709\pi\) | |||||||
\(84\) | −15.6176 | − | 1.51183i | −1.70402 | − | 0.164954i | ||||
\(85\) | −2.55076 | − | 10.9467i | −0.276669 | − | 1.18734i | ||||
\(86\) | −12.9984 | − | 1.36618i | −1.40165 | − | 0.147319i | ||||
\(87\) | 16.2583 | + | 0.443997i | 1.74307 | + | 0.0476014i | ||||
\(88\) | −6.89541 | + | 0.724737i | −0.735053 | + | 0.0772572i | ||||
\(89\) | −1.37843 | + | 13.1149i | −0.146113 | + | 1.39017i | 0.638231 | + | 0.769845i | \(0.279667\pi\) |
−0.784344 | + | 0.620327i | \(0.787000\pi\) | |||||||
\(90\) | −4.30319 | − | 15.0187i | −0.453596 | − | 1.58311i | ||||
\(91\) | −7.23948 | + | 13.6356i | −0.758903 | + | 1.42940i | ||||
\(92\) | −0.640557 | + | 1.97143i | −0.0667827 | + | 0.205536i | ||||
\(93\) | 1.71588 | − | 0.708484i | 0.177928 | − | 0.0734664i | ||||
\(94\) | −11.9917 | + | 10.7974i | −1.23685 | + | 1.11367i | ||||
\(95\) | −11.5872 | − | 3.51675i | −1.18882 | − | 0.360811i | ||||
\(96\) | 6.05557 | − | 5.16020i | 0.618044 | − | 0.526661i | ||||
\(97\) | 1.48468 | + | 4.56939i | 0.150747 | + | 0.463951i | 0.997705 | − | 0.0677082i | \(-0.0215687\pi\) |
−0.846958 | + | 0.531659i | \(0.821569\pi\) | |||||||
\(98\) | 11.7410 | + | 11.3103i | 1.18602 | + | 1.14252i | ||||
\(99\) | 1.63691 | − | 6.05464i | 0.164516 | − | 0.608515i | ||||
\(100\) | 5.92087 | + | 16.0634i | 0.592087 | + | 1.60634i | ||||
\(101\) | 1.24881 | − | 2.16300i | 0.124261 | − | 0.215227i | −0.797183 | − | 0.603738i | \(-0.793677\pi\) |
0.921444 | + | 0.388512i | \(0.127011\pi\) | |||||||
\(102\) | −5.73710 | − | 19.4483i | −0.568058 | − | 1.92566i | ||||
\(103\) | 8.39165 | − | 9.31987i | 0.826853 | − | 0.918314i | −0.170901 | − | 0.985288i | \(-0.554668\pi\) |
0.997755 | + | 0.0669743i | \(0.0213346\pi\) | |||||||
\(104\) | 5.97988 | + | 18.4042i | 0.586375 | + | 1.80468i | ||||
\(105\) | −3.90686 | + | 9.47293i | −0.381270 | + | 0.924464i | ||||
\(106\) | 2.77903 | − | 8.55298i | 0.269923 | − | 0.830739i | ||||
\(107\) | −1.74009 | − | 3.01393i | −0.168221 | − | 0.291368i | 0.769573 | − | 0.638559i | \(-0.220469\pi\) |
−0.937795 | + | 0.347191i | \(0.887136\pi\) | |||||||
\(108\) | −5.88242 | − | 16.7909i | −0.566036 | − | 1.61570i | ||||
\(109\) | 0.451650 | + | 4.29716i | 0.0432602 | + | 0.411594i | 0.994626 | + | 0.103531i | \(0.0330140\pi\) |
−0.951366 | + | 0.308063i | \(0.900319\pi\) | |||||||
\(110\) | −2.05565 | + | 10.6917i | −0.195999 | + | 1.01941i | ||||
\(111\) | 2.16891 | − | 2.28042i | 0.205864 | − | 0.216448i | ||||
\(112\) | 2.31525 | − | 0.0822717i | 0.218771 | − | 0.00777394i | ||||
\(113\) | 3.96615 | − | 2.88158i | 0.373104 | − | 0.271076i | −0.385393 | − | 0.922753i | \(-0.625934\pi\) |
0.758497 | + | 0.651677i | \(0.225934\pi\) | |||||||
\(114\) | −21.2354 | − | 5.12338i | −1.98888 | − | 0.479849i | ||||
\(115\) | 1.11049 | + | 0.774203i | 0.103553 | + | 0.0721948i | ||||
\(116\) | −31.9757 | + | 3.36078i | −2.96887 | + | 0.312040i | ||||
\(117\) | −17.4793 | − | 0.955395i | −1.61596 | − | 0.0883263i | ||||
\(118\) | 0.885289 | 0.0814974 | ||||||||
\(119\) | −4.97445 | + | 12.3340i | −0.456007 | + | 1.13065i | ||||
\(120\) | 5.13238 | + | 11.7742i | 0.468520 | + | 1.07483i | ||||
\(121\) | 4.43573 | − | 4.92637i | 0.403248 | − | 0.447852i | ||||
\(122\) | 2.40645 | − | 11.3215i | 0.217870 | − | 1.02500i | ||||
\(123\) | 19.4730 | − | 5.74441i | 1.75582 | − | 0.517956i | ||||
\(124\) | −3.17811 | + | 1.83488i | −0.285403 | + | 0.164777i | ||||
\(125\) | 11.1612 | − | 0.653393i | 0.998291 | − | 0.0584412i | ||||
\(126\) | −6.04677 | + | 17.4685i | −0.538689 | + | 1.55621i | ||||
\(127\) | −4.65506 | + | 6.40714i | −0.413070 | + | 0.568541i | −0.963964 | − | 0.266034i | \(-0.914287\pi\) |
0.550894 | + | 0.834575i | \(0.314287\pi\) | |||||||
\(128\) | −13.2530 | + | 14.7189i | −1.17141 | + | 1.30098i | ||||
\(129\) | −3.25496 | + | 9.15903i | −0.286583 | + | 0.806408i | ||||
\(130\) | 30.3816 | − | 0.592259i | 2.66465 | − | 0.0519445i | ||||
\(131\) | −10.6998 | + | 2.27432i | −0.934848 | + | 0.198708i | −0.650060 | − | 0.759883i | \(-0.725256\pi\) |
−0.284788 | + | 0.958591i | \(0.591923\pi\) | |||||||
\(132\) | −1.63215 | + | 12.2908i | −0.142061 | + | 1.06978i | ||||
\(133\) | 8.82793 | + | 11.2850i | 0.765478 | + | 0.978530i | ||||
\(134\) | −6.63665 | − | 9.13456i | −0.573319 | − | 0.789106i | ||||
\(135\) | −11.6086 | + | 0.491389i | −0.999105 | + | 0.0422920i | ||||
\(136\) | 6.78037 | + | 15.2290i | 0.581412 | + | 1.30587i | ||||
\(137\) | 0.808642 | + | 7.69372i | 0.0690870 | + | 0.657319i | 0.973190 | + | 0.230004i | \(0.0738738\pi\) |
−0.904103 | + | 0.427315i | \(0.859460\pi\) | |||||||
\(138\) | 2.08080 | + | 1.27833i | 0.177130 | + | 0.108819i | ||||
\(139\) | 7.29722 | − | 10.0438i | 0.618942 | − | 0.851901i | −0.378333 | − | 0.925669i | \(-0.623503\pi\) |
0.997275 | + | 0.0737688i | \(0.0235027\pi\) | |||||||
\(140\) | 5.19087 | − | 19.5801i | 0.438709 | − | 1.65482i | ||||
\(141\) | 5.71444 | + | 10.5529i | 0.481243 | + | 0.888716i | ||||
\(142\) | −2.43198 | − | 11.4416i | −0.204088 | − | 0.960157i | ||||
\(143\) | 10.5649 | + | 6.09966i | 0.883484 | + | 0.510079i | ||||
\(144\) | 1.18733 | + | 2.34326i | 0.0989445 | + | 0.195272i | ||||
\(145\) | −3.96443 | + | 20.6195i | −0.329228 | + | 1.71236i | ||||
\(146\) | 11.4961 | + | 35.3812i | 0.951421 | + | 2.92817i | ||||
\(147\) | 10.2249 | − | 6.51547i | 0.843336 | − | 0.537387i | ||||
\(148\) | −3.65683 | + | 5.03319i | −0.300589 | + | 0.413726i | ||||
\(149\) | 3.72558 | − | 2.15096i | 0.305211 | − | 0.176214i | −0.339570 | − | 0.940581i | \(-0.610282\pi\) |
0.644782 | + | 0.764367i | \(0.276948\pi\) | |||||||
\(150\) | 20.0327 | − | 2.34241i | 1.63567 | − | 0.191257i | ||||
\(151\) | 8.99967 | − | 15.5879i | 0.732382 | − | 1.26852i | −0.223480 | − | 0.974709i | \(-0.571742\pi\) |
0.955862 | − | 0.293815i | \(-0.0949250\pi\) | |||||||
\(152\) | 17.8608 | + | 1.87725i | 1.44870 | + | 0.152265i | ||||
\(153\) | −15.0611 | + | 0.755423i | −1.21762 | + | 0.0610724i | ||||
\(154\) | 9.26127 | − | 8.95448i | 0.746294 | − | 0.721573i | ||||
\(155\) | 0.543873 | + | 2.33406i | 0.0436850 | + | 0.187476i | ||||
\(156\) | 34.5015 | − | 2.67637i | 2.76233 | − | 0.214281i | ||||
\(157\) | −5.56206 | + | 9.63377i | −0.443900 | + | 0.768858i | −0.997975 | − | 0.0636089i | \(-0.979739\pi\) |
0.554074 | + | 0.832467i | \(0.313072\pi\) | |||||||
\(158\) | 1.38395 | + | 1.53703i | 0.110101 | + | 0.122280i | ||||
\(159\) | −5.69875 | − | 3.50100i | −0.451941 | − | 0.277648i | ||||
\(160\) | 5.30795 | + | 8.79327i | 0.419631 | + | 0.695169i | ||||
\(161\) | −0.548753 | − | 1.50482i | −0.0432478 | − | 0.118596i | ||||
\(162\) | −20.8553 | + | 2.09737i | −1.63855 | + | 0.164785i | ||||
\(163\) | −3.84578 | + | 8.63777i | −0.301225 | + | 0.676562i | −0.999218 | − | 0.0395423i | \(-0.987410\pi\) |
0.697993 | + | 0.716105i | \(0.254077\pi\) | |||||||
\(164\) | −36.6651 | + | 16.3243i | −2.86306 | + | 1.27472i | ||||
\(165\) | 7.37115 | + | 3.35108i | 0.573844 | + | 0.260881i | ||||
\(166\) | 0.0384290 | − | 0.0863129i | 0.00298267 | − | 0.00669918i | ||||
\(167\) | 6.09371 | + | 1.97996i | 0.471545 | + | 0.153214i | 0.535143 | − | 0.844761i | \(-0.320258\pi\) |
−0.0635982 | + | 0.997976i | \(0.520258\pi\) | |||||||
\(168\) | 3.03746 | − | 14.8908i | 0.234345 | − | 1.14885i | ||||
\(169\) | 6.50439 | − | 20.0185i | 0.500338 | − | 1.53988i | ||||
\(170\) | 25.9756 | − | 3.24316i | 1.99224 | − | 0.248739i | ||||
\(171\) | −7.40803 | + | 14.4588i | −0.566507 | + | 1.10569i | ||||
\(172\) | 3.99507 | − | 18.7953i | 0.304621 | − | 1.43313i | ||||
\(173\) | −0.982812 | − | 0.103298i | −0.0747218 | − | 0.00785358i | 0.0670938 | − | 0.997747i | \(-0.478627\pi\) |
−0.141816 | + | 0.989893i | \(0.545294\pi\) | |||||||
\(174\) | −4.98630 | + | 37.5490i | −0.378010 | + | 2.84658i | ||||
\(175\) | −11.2514 | − | 6.95749i | −0.850524 | − | 0.525937i | ||||
\(176\) | − | 1.83067i | − | 0.137992i | ||||||
\(177\) | 0.154418 | − | 0.640031i | 0.0116067 | − | 0.0481077i | ||||
\(178\) | −30.0409 | − | 6.38538i | −2.25166 | − | 0.478604i | ||||
\(179\) | −0.114749 | + | 0.539851i | −0.00857674 | + | 0.0403504i | −0.982228 | − | 0.187692i | \(-0.939899\pi\) |
0.973651 | + | 0.228043i | \(0.0732326\pi\) | |||||||
\(180\) | 22.6206 | − | 3.98381i | 1.68604 | − | 0.296935i | ||||
\(181\) | −15.9096 | − | 5.16934i | −1.18255 | − | 0.384234i | −0.349238 | − | 0.937034i | \(-0.613559\pi\) |
−0.833314 | + | 0.552800i | \(0.813559\pi\) | |||||||
\(182\) | −29.8203 | − | 20.0874i | −2.21042 | − | 1.48898i | ||||
\(183\) | −7.76525 | − | 3.71454i | −0.574024 | − | 0.274586i | ||||
\(184\) | −1.83415 | − | 0.816617i | −0.135215 | − | 0.0602018i | ||||
\(185\) | 2.45175 | + | 3.23982i | 0.180256 | + | 0.238196i | ||||
\(186\) | 1.22327 | + | 4.14676i | 0.0896942 | + | 0.304055i | ||||
\(187\) | 9.60056 | + | 4.27444i | 0.702062 | + | 0.312578i | ||||
\(188\) | −13.9443 | − | 19.1927i | −1.01700 | − | 1.39977i | ||||
\(189\) | 11.5743 | + | 7.41855i | 0.841909 | + | 0.539620i | ||||
\(190\) | 10.9662 | − | 25.9819i | 0.795574 | − | 1.88493i | ||||
\(191\) | 5.38837 | − | 12.1025i | 0.389889 | − | 0.875705i | −0.606835 | − | 0.794828i | \(-0.707561\pi\) |
0.996724 | − | 0.0808773i | \(-0.0257722\pi\) | |||||||
\(192\) | 12.1931 | + | 17.7838i | 0.879959 | + | 1.28343i | ||||
\(193\) | 0.585888 | + | 0.338263i | 0.0421732 | + | 0.0243487i | 0.520938 | − | 0.853594i | \(-0.325582\pi\) |
−0.478765 | + | 0.877943i | \(0.658915\pi\) | |||||||
\(194\) | −10.9450 | + | 2.32643i | −0.785803 | + | 0.167028i | ||||
\(195\) | 4.87118 | − | 22.0681i | 0.348832 | − | 1.58033i | ||||
\(196\) | −18.3415 | + | 15.4287i | −1.31011 | + | 1.10205i | ||||
\(197\) | −6.70370 | − | 20.6319i | −0.477619 | − | 1.46996i | −0.842393 | − | 0.538863i | \(-0.818854\pi\) |
0.364775 | − | 0.931096i | \(-0.381146\pi\) | |||||||
\(198\) | 13.6252 | + | 5.26533i | 0.968299 | + | 0.374191i | ||||
\(199\) | 3.94312 | + | 2.27656i | 0.279521 | + | 0.161381i | 0.633206 | − | 0.773983i | \(-0.281738\pi\) |
−0.353686 | + | 0.935364i | \(0.615072\pi\) | |||||||
\(200\) | −16.0727 | + | 4.07704i | −1.13651 | + | 0.288290i | ||||
\(201\) | −7.76156 | + | 3.20474i | −0.547458 | + | 0.226045i | ||||
\(202\) | 4.70589 | + | 3.41903i | 0.331106 | + | 0.240562i | ||||
\(203\) | 17.8608 | − | 17.2692i | 1.25358 | − | 1.21206i | ||||
\(204\) | 29.3175 | − | 5.39966i | 2.05264 | − | 0.378052i | ||||
\(205\) | 3.24729 | + | 26.0087i | 0.226800 | + | 1.81652i | ||||
\(206\) | 19.5437 | + | 21.7054i | 1.36167 | + | 1.51229i | ||||
\(207\) | 1.28714 | − | 1.28137i | 0.0894621 | − | 0.0890614i | ||||
\(208\) | −4.99779 | + | 1.06231i | −0.346534 | + | 0.0736581i | ||||
\(209\) | 9.15948 | − | 6.65475i | 0.633574 | − | 0.460319i | ||||
\(210\) | −20.9900 | − | 11.3551i | −1.44845 | − | 0.783576i | ||||
\(211\) | −3.00903 | − | 2.18619i | −0.207150 | − | 0.150504i | 0.479373 | − | 0.877611i | \(-0.340864\pi\) |
−0.686523 | + | 0.727108i | \(0.740864\pi\) | |||||||
\(212\) | 12.0785 | + | 5.37769i | 0.829554 | + | 0.369341i | ||||
\(213\) | −8.69605 | − | 0.237480i | −0.595843 | − | 0.0162719i | ||||
\(214\) | 7.40443 | − | 3.29667i | 0.506157 | − | 0.225355i | ||||
\(215\) | −10.9878 | − | 6.06137i | −0.749359 | − | 0.413382i | ||||
\(216\) | 16.7696 | − | 3.96635i | 1.14102 | − | 0.269876i | ||||
\(217\) | 1.06065 | − | 2.62985i | 0.0720018 | − | 0.178526i | ||||
\(218\) | −10.0630 | −0.681550 | ||||||||
\(219\) | 27.5846 | − | 2.13980i | 1.86399 | − | 0.144595i | ||||
\(220\) | −15.3168 | − | 4.64869i | −1.03266 | − | 0.313415i | ||||
\(221\) | 6.09831 | − | 28.6903i | 0.410216 | − | 1.92992i | ||||
\(222\) | 4.75388 | + | 5.57874i | 0.319059 | + | 0.374421i | ||||
\(223\) | −12.3012 | − | 8.93732i | −0.823747 | − | 0.598487i | 0.0940365 | − | 0.995569i | \(-0.470023\pi\) |
−0.917783 | + | 0.397082i | \(0.870023\pi\) | |||||||
\(224\) | 0.840315 | − | 12.1239i | 0.0561459 | − | 0.810060i | ||||
\(225\) | 1.80076 | − | 14.8915i | 0.120051 | − | 0.992768i | ||||
\(226\) | 5.70874 | + | 9.88783i | 0.379740 | + | 0.657729i | ||||
\(227\) | 8.96457 | + | 20.1347i | 0.594999 | + | 1.33639i | 0.920461 | + | 0.390835i | \(0.127814\pi\) |
−0.325462 | + | 0.945555i | \(0.605520\pi\) | |||||||
\(228\) | 10.7544 | − | 30.2616i | 0.712229 | − | 2.00412i | ||||
\(229\) | −16.0377 | − | 14.4404i | −1.05980 | − | 0.954248i | −0.0607638 | − | 0.998152i | \(-0.519354\pi\) |
−0.999036 | + | 0.0439044i | \(0.986020\pi\) | |||||||
\(230\) | −2.06353 | + | 2.38362i | −0.136065 | + | 0.157171i | ||||
\(231\) | −4.85835 | − | 8.25745i | −0.319656 | − | 0.543301i | ||||
\(232\) | − | 31.1412i | − | 2.04452i | ||||||
\(233\) | −8.71208 | + | 1.85181i | −0.570747 | + | 0.121316i | −0.484240 | − | 0.874935i | \(-0.660904\pi\) |
−0.0865071 | + | 0.996251i | \(0.527571\pi\) | |||||||
\(234\) | 6.46804 | − | 40.2526i | 0.422829 | − | 2.63140i | ||||
\(235\) | −14.6386 | + | 5.07386i | −0.954915 | + | 0.330982i | ||||
\(236\) | −0.136048 | + | 1.29441i | −0.00885594 | + | 0.0842587i | ||||
\(237\) | 1.35261 | − | 0.732446i | 0.0878618 | − | 0.0475775i | ||||
\(238\) | −27.3567 | − | 14.5243i | −1.77327 | − | 0.941473i | ||||
\(239\) | −3.26078 | + | 4.48808i | −0.210922 | + | 0.290310i | −0.901350 | − | 0.433092i | \(-0.857422\pi\) |
0.690427 | + | 0.723402i | \(0.257422\pi\) | |||||||
\(240\) | −3.23343 | + | 1.02275i | −0.208717 | + | 0.0660184i | ||||
\(241\) | −21.4108 | + | 2.25036i | −1.37919 | + | 0.144958i | −0.764913 | − | 0.644134i | \(-0.777218\pi\) |
−0.614275 | + | 0.789092i | \(0.710551\pi\) | |||||||
\(242\) | 10.3306 | + | 11.4732i | 0.664073 | + | 0.737528i | ||||
\(243\) | −2.12139 | + | 15.4434i | −0.136087 | + | 0.990697i | ||||
\(244\) | 16.1836 | + | 5.25838i | 1.03605 | + | 0.336633i | ||||
\(245\) | 6.16291 | + | 14.3881i | 0.393734 | + | 0.919224i | ||||
\(246\) | 8.56459 | + | 46.5016i | 0.546058 | + | 2.96483i | ||||
\(247\) | −23.4828 | − | 21.1440i | −1.49418 | − | 1.34536i | ||||
\(248\) | −1.44571 | − | 3.24712i | −0.0918027 | − | 0.206192i | ||||
\(249\) | −0.0556980 | − | 0.0428380i | −0.00352972 | − | 0.00271475i | ||||
\(250\) | −1.20372 | + | 26.0105i | −0.0761300 | + | 1.64505i | ||||
\(251\) | 14.0093 | 0.884260 | 0.442130 | − | 0.896951i | \(-0.354223\pi\) | ||||
0.442130 | + | 0.896951i | \(0.354223\pi\) | |||||||
\(252\) | −24.6119 | − | 11.5256i | −1.55040 | − | 0.726047i | ||||
\(253\) | −1.20375 | + | 0.391123i | −0.0756793 | + | 0.0245897i | ||||
\(254\) | −13.7069 | − | 12.3417i | −0.860046 | − | 0.774389i | ||||
\(255\) | 2.18615 | − | 19.3451i | 0.136902 | − | 1.21144i | ||||
\(256\) | −14.2054 | − | 15.7766i | −0.887834 | − | 0.986040i | ||||
\(257\) | 10.1655 | − | 5.86903i | 0.634104 | − | 0.366100i | −0.148236 | − | 0.988952i | \(-0.547359\pi\) |
0.782340 | + | 0.622852i | \(0.214026\pi\) | |||||||
\(258\) | −20.4216 | − | 9.76876i | −1.27139 | − | 0.608176i | ||||
\(259\) | −0.170719 | − | 4.80431i | −0.0106080 | − | 0.298525i | ||||
\(260\) | −3.80297 | + | 44.5129i | −0.235850 | + | 2.76057i | ||||
\(261\) | 26.2768 | + | 10.1545i | 1.62649 | + | 0.628545i | ||||
\(262\) | −2.66297 | − | 25.3364i | −0.164519 | − | 1.56529i | ||||
\(263\) | −1.27760 | − | 12.1556i | −0.0787804 | − | 0.749546i | −0.960595 | − | 0.277950i | \(-0.910345\pi\) |
0.881815 | − | 0.471595i | \(-0.156322\pi\) | |||||||
\(264\) | −11.6740 | − | 2.81655i | −0.718487 | − | 0.173346i | ||||
\(265\) | 5.65145 | − | 6.52808i | 0.347166 | − | 0.401017i | ||||
\(266\) | −28.2871 | + | 17.6999i | −1.73439 | + | 1.08525i | ||||
\(267\) | −9.85631 | + | 20.6047i | −0.603197 | + | 1.26098i | ||||
\(268\) | 14.3758 | − | 8.29988i | 0.878142 | − | 0.506996i | ||||
\(269\) | 10.2086 | + | 11.3378i | 0.622430 | + | 0.691278i | 0.969089 | − | 0.246713i | \(-0.0793505\pi\) |
−0.346659 | + | 0.937991i | \(0.612684\pi\) | |||||||
\(270\) | 1.68785 | − | 27.0072i | 0.102719 | − | 1.64360i | ||||
\(271\) | −18.0096 | − | 16.2159i | −1.09401 | − | 0.985048i | −0.0940624 | − | 0.995566i | \(-0.529985\pi\) |
−0.999945 | + | 0.0105179i | \(0.996652\pi\) | |||||||
\(272\) | −4.18611 | + | 1.36015i | −0.253820 | + | 0.0824711i | ||||
\(273\) | −19.7239 | + | 18.0552i | −1.19375 | + | 1.09275i | ||||
\(274\) | −18.0169 | −1.08844 | ||||||||
\(275\) | −5.81007 | + | 8.68999i | −0.350360 | + | 0.524026i | ||||
\(276\) | −2.18886 | + | 2.84596i | −0.131754 | + | 0.171306i | ||||
\(277\) | 2.27038 | + | 5.09936i | 0.136414 | + | 0.306391i | 0.968816 | − | 0.247782i | \(-0.0797015\pi\) |
−0.832402 | + | 0.554172i | \(0.813035\pi\) | |||||||
\(278\) | 21.4868 | + | 19.3468i | 1.28869 | + | 1.16034i | ||||
\(279\) | 3.21132 | − | 0.161071i | 0.192257 | − | 0.00964309i | ||||
\(280\) | 18.3352 | + | 6.98251i | 1.09574 | + | 0.417285i | ||||
\(281\) | −27.4012 | − | 8.90318i | −1.63462 | − | 0.531119i | −0.659291 | − | 0.751888i | \(-0.729144\pi\) |
−0.975326 | + | 0.220768i | \(0.929144\pi\) | |||||||
\(282\) | −25.8336 | + | 10.6667i | −1.53837 | + | 0.635192i | ||||
\(283\) | −7.22535 | − | 8.02457i | −0.429503 | − | 0.477011i | 0.489081 | − | 0.872239i | \(-0.337332\pi\) |
−0.918583 | + | 0.395228i | \(0.870666\pi\) | |||||||
\(284\) | 17.1028 | − | 1.79758i | 1.01487 | − | 0.106667i | ||||
\(285\) | −16.8712 | − | 12.4601i | −0.999363 | − | 0.738074i | ||||
\(286\) | −16.6999 | + | 22.9854i | −0.987484 | + | 1.35916i | ||||
\(287\) | 14.5428 | − | 27.3916i | 0.858437 | − | 1.61688i | ||||
\(288\) | 12.8759 | − | 4.90948i | 0.758722 | − | 0.289294i | ||||
\(289\) | 0.864180 | − | 8.22212i | 0.0508341 | − | 0.483654i | ||||
\(290\) | −46.7934 | − | 14.2020i | −2.74780 | − | 0.833968i | ||||
\(291\) | −0.227173 | + | 8.31860i | −0.0133171 | + | 0.487645i | ||||
\(292\) | −53.4986 | + | 11.3715i | −3.13077 | + | 0.665466i | ||||
\(293\) | − | 7.00184i | − | 0.409052i | −0.978861 | − | 0.204526i | \(-0.934435\pi\) | ||
0.978861 | − | 0.204526i | \(-0.0655653\pi\) | |||||||
\(294\) | 12.6019 | + | 25.2689i | 0.734956 | + | 1.47371i | ||||
\(295\) | 0.783090 | + | 0.330520i | 0.0455933 | + | 0.0192436i | ||||
\(296\) | −4.47805 | − | 4.03205i | −0.260281 | − | 0.234358i | ||||
\(297\) | 6.18323 | − | 8.93209i | 0.358788 | − | 0.518292i | ||||
\(298\) | 4.07507 | + | 9.15275i | 0.236062 | + | 0.530205i | ||||
\(299\) | 1.76630 | + | 3.05933i | 0.102148 | + | 0.176925i | ||||
\(300\) | 0.346357 | + | 29.6504i | 0.0199969 | + | 1.71187i | ||||
\(301\) | 6.51706 | + | 13.3412i | 0.375637 | + | 0.768973i | ||||
\(302\) | 33.9135 | + | 24.6396i | 1.95150 | + | 1.41785i | ||||
\(303\) | 3.29267 | − | 2.80582i | 0.189159 | − | 0.161190i | ||||
\(304\) | −0.985892 | + | 4.63826i | −0.0565448 | + | 0.266022i | ||||
\(305\) | 6.35548 | − | 9.11606i | 0.363914 | − | 0.521984i | ||||
\(306\) | 1.91678 | − | 35.0681i | 0.109575 | − | 2.00471i | ||||
\(307\) | 8.55297 | 0.488144 | 0.244072 | − | 0.969757i | \(-0.421517\pi\) | ||||
0.244072 | + | 0.969757i | \(0.421517\pi\) | |||||||
\(308\) | 11.6694 | + | 14.9173i | 0.664924 | + | 0.849990i | ||||
\(309\) | 19.1012 | − | 10.3433i | 1.08663 | − | 0.588412i | ||||
\(310\) | −5.53851 | + | 0.691506i | −0.314566 | + | 0.0392749i | ||||
\(311\) | 17.2204 | − | 7.66703i | 0.976480 | − | 0.434757i | 0.144465 | − | 0.989510i | \(-0.453854\pi\) |
0.832015 | + | 0.554753i | \(0.187187\pi\) | |||||||
\(312\) | −0.914986 | + | 33.5049i | −0.0518009 | + | 1.89684i | ||||
\(313\) | 18.5765 | + | 8.27081i | 1.05001 | + | 0.467494i | 0.857866 | − | 0.513873i | \(-0.171790\pi\) |
0.192142 | + | 0.981367i | \(0.438457\pi\) | |||||||
\(314\) | −20.9595 | − | 15.2280i | −1.18282 | − | 0.859366i | ||||
\(315\) | −11.8705 | + | 13.1943i | −0.668828 | + | 0.743417i | ||||
\(316\) | −2.46002 | + | 1.78731i | −0.138387 | + | 0.100544i | ||||
\(317\) | −0.557282 | + | 0.118454i | −0.0313001 | + | 0.00665303i | −0.223535 | − | 0.974696i | \(-0.571760\pi\) |
0.192235 | + | 0.981349i | \(0.438426\pi\) | |||||||
\(318\) | 9.49628 | − | 12.3471i | 0.532525 | − | 0.692389i | ||||
\(319\) | −13.1363 | − | 14.5893i | −0.735490 | − | 0.816844i | ||||
\(320\) | −25.2047 | + | 11.8157i | −1.40899 | + | 0.660520i | ||||
\(321\) | −1.09184 | − | 5.92816i | −0.0609405 | − | 0.330877i | ||||
\(322\) | 3.61902 | − | 0.904679i | 0.201680 | − | 0.0504158i | ||||
\(323\) | −22.0224 | − | 16.0002i | −1.22536 | − | 0.890277i | ||||
\(324\) | 0.138334 | − | 30.8154i | 0.00768522 | − | 1.71197i | ||||
\(325\) | 27.0955 | + | 10.8190i | 1.50299 | + | 0.600131i | ||||
\(326\) | −19.0704 | − | 11.0103i | −1.05621 | − | 0.609806i | ||||
\(327\) | −1.75525 | + | 7.27516i | −0.0970654 | + | 0.402317i | ||||
\(328\) | −12.0125 | − | 36.9707i | −0.663281 | − | 2.04137i | ||||
\(329\) | 17.6245 | + | 5.04205i | 0.971669 | + | 0.277977i | ||||
\(330\) | −9.55615 | + | 16.2572i | −0.526049 | + | 0.894927i | ||||
\(331\) | 1.78144 | − | 0.378656i | 0.0979167 | − | 0.0208128i | −0.158693 | − | 0.987328i | \(-0.550728\pi\) |
0.256609 | + | 0.966515i | \(0.417395\pi\) | |||||||
\(332\) | 0.120295 | + | 0.0694524i | 0.00660205 | + | 0.00381169i | ||||
\(333\) | 4.86243 | − | 2.46380i | 0.266459 | − | 0.135015i | ||||
\(334\) | −6.06942 | + | 13.6321i | −0.332104 | + | 0.745917i | ||||
\(335\) | −2.46015 | − | 10.5578i | −0.134412 | − | 0.576836i | ||||
\(336\) | 3.82633 | + | 1.20858i | 0.208744 | + | 0.0659335i | ||||
\(337\) | 15.8028 | + | 21.7507i | 0.860834 | + | 1.18484i | 0.981370 | + | 0.192127i | \(0.0615387\pi\) |
−0.120536 | + | 0.992709i | \(0.538461\pi\) | |||||||
\(338\) | 44.7830 | + | 19.9387i | 2.43587 | + | 1.08452i | ||||
\(339\) | 8.14429 | − | 2.40251i | 0.442337 | − | 0.130486i | ||||
\(340\) | 0.750090 | + | 38.4780i | 0.0406794 | + | 2.08676i | ||||
\(341\) | −2.04703 | − | 0.911397i | −0.110853 | − | 0.0493549i | ||||
\(342\) | −31.6857 | − | 20.6782i | −1.71337 | − | 1.11815i | ||||
\(343\) | 3.81725 | − | 18.1226i | 0.206112 | − | 0.978528i | ||||
\(344\) | 17.7003 | + | 5.75119i | 0.954338 | + | 0.310083i | ||||
\(345\) | 1.36333 | + | 1.90762i | 0.0733994 | + | 0.102703i | ||||
\(346\) | 0.478513 | − | 2.25123i | 0.0257250 | − | 0.121027i | ||||
\(347\) | 5.79551 | + | 1.23187i | 0.311119 | + | 0.0661305i | 0.360825 | − | 0.932633i | \(-0.382495\pi\) |
−0.0497059 | + | 0.998764i | \(0.515828\pi\) | |||||||
\(348\) | −54.1353 | − | 13.0610i | −2.90195 | − | 0.700143i | ||||
\(349\) | − | 3.83424i | − | 0.205242i | −0.994721 | − | 0.102621i | \(-0.967277\pi\) | ||
0.994721 | − | 0.102621i | \(-0.0327229\pi\) | |||||||
\(350\) | 18.8539 | − | 24.3665i | 1.00778 | − | 1.30244i | ||||
\(351\) | −27.9730 | − | 11.6973i | −1.49309 | − | 0.624354i | ||||
\(352\) | −9.55066 | − | 1.00381i | −0.509052 | − | 0.0535035i | ||||
\(353\) | 1.87071 | − | 8.80098i | 0.0995676 | − | 0.468429i | −0.899909 | − | 0.436078i | \(-0.856367\pi\) |
0.999477 | − | 0.0323510i | \(-0.0102994\pi\) | |||||||
\(354\) | 1.44484 | + | 0.513469i | 0.0767923 | + | 0.0272906i | ||||
\(355\) | 2.12045 | − | 11.0287i | 0.112542 | − | 0.585345i | ||||
\(356\) | 13.9528 | − | 42.9423i | 0.739497 | − | 2.27594i | ||||
\(357\) | −15.2723 | + | 17.2445i | −0.808296 | + | 0.912675i | ||||
\(358\) | −1.22246 | − | 0.397201i | −0.0646090 | − | 0.0209928i | ||||
\(359\) | 12.1686 | − | 27.3311i | 0.642233 | − | 1.44248i | −0.239578 | − | 0.970877i | \(-0.577009\pi\) |
0.881811 | − | 0.471603i | \(-0.156324\pi\) | |||||||
\(360\) | 1.54727 | + | 22.1929i | 0.0815485 | + | 1.16967i | ||||
\(361\) | −9.43336 | + | 4.20000i | −0.496493 | + | 0.221053i | ||||
\(362\) | 15.8462 | − | 35.5911i | 0.832858 | − | 1.87063i | ||||
\(363\) | 10.0967 | − | 5.46737i | 0.529937 | − | 0.286963i | ||||
\(364\) | 33.9531 | − | 40.5141i | 1.77962 | − | 2.12352i | ||||
\(365\) | −3.04054 | + | 35.5888i | −0.159149 | + | 1.86281i | ||||
\(366\) | 10.4939 | − | 17.0815i | 0.548526 | − | 0.892863i | ||||
\(367\) | 1.60574 | + | 1.78336i | 0.0838190 | + | 0.0930904i | 0.783595 | − | 0.621272i | \(-0.213384\pi\) |
−0.699776 | + | 0.714362i | \(0.746717\pi\) | |||||||
\(368\) | 0.265057 | − | 0.459092i | 0.0138170 | − | 0.0239318i | ||||
\(369\) | 35.1128 | + | 1.91922i | 1.82790 | + | 0.0999107i | ||||
\(370\) | −8.10087 | + | 4.89000i | −0.421144 | + | 0.254219i | ||||
\(371\) | −9.91149 | + | 2.47767i | −0.514579 | + | 0.128634i | ||||
\(372\) | −6.25108 | + | 1.15131i | −0.324104 | + | 0.0596929i | ||||
\(373\) | 18.4616 | + | 1.94039i | 0.955905 | + | 0.100470i | 0.569618 | − | 0.821909i | \(-0.307091\pi\) |
0.386286 | + | 0.922379i | \(0.373758\pi\) | |||||||
\(374\) | −12.2376 | + | 21.1961i | −0.632789 | + | 1.09602i | ||||
\(375\) | 18.5947 | + | 5.40717i | 0.960226 | + | 0.279225i | ||||
\(376\) | 19.8994 | − | 11.4889i | 1.02623 | − | 0.592496i | ||||
\(377\) | −32.2065 | + | 44.3285i | −1.65872 | + | 2.28303i | ||||
\(378\) | −20.0004 | + | 25.0023i | −1.02871 | + | 1.28598i | ||||
\(379\) | 3.31853 | + | 10.2134i | 0.170462 | + | 0.524627i | 0.999397 | − | 0.0347172i | \(-0.0110530\pi\) |
−0.828936 | + | 0.559344i | \(0.811053\pi\) | |||||||
\(380\) | 36.3037 | + | 20.0269i | 1.86234 | + | 1.02736i | ||||
\(381\) | −11.3135 | + | 7.75684i | −0.579606 | + | 0.397395i | ||||
\(382\) | 26.7198 | + | 15.4267i | 1.36711 | + | 0.789299i | ||||
\(383\) | 0.784884 | + | 3.69259i | 0.0401057 | + | 0.188683i | 0.993640 | − | 0.112601i | \(-0.0359182\pi\) |
−0.953535 | + | 0.301284i | \(0.902585\pi\) | |||||||
\(384\) | −30.1665 | + | 16.3353i | −1.53943 | + | 0.833606i | ||||
\(385\) | 11.5353 | − | 4.46310i | 0.587892 | − | 0.227461i | ||||
\(386\) | −0.926108 | + | 1.27468i | −0.0471376 | + | 0.0648794i | ||||
\(387\) | −10.6245 | + | 13.0601i | −0.540075 | + | 0.663885i | ||||
\(388\) | −1.71956 | − | 16.3605i | −0.0872972 | − | 0.830578i | ||||
\(389\) | 0.905565 | + | 2.03393i | 0.0459140 | + | 0.103125i | 0.935046 | − | 0.354526i | \(-0.115358\pi\) |
−0.889132 | + | 0.457651i | \(0.848691\pi\) | |||||||
\(390\) | 49.9279 | + | 16.6548i | 2.52820 | + | 0.843350i | ||||
\(391\) | 1.78873 | + | 2.46197i | 0.0904599 | + | 0.124507i | ||||
\(392\) | −13.0049 | − | 19.2297i | −0.656848 | − | 0.971246i | ||||
\(393\) | −18.7818 | − | 2.49412i | −0.947416 | − | 0.125812i | ||||
\(394\) | 49.4191 | − | 10.5044i | 2.48970 | − | 0.529202i | ||||
\(395\) | 0.650339 | + | 1.87629i | 0.0327221 | + | 0.0944064i | ||||
\(396\) | −9.79246 | + | 19.1126i | −0.492090 | + | 0.960445i | ||||
\(397\) | 13.6070 | − | 15.1121i | 0.682917 | − | 0.758456i | −0.297643 | − | 0.954677i | \(-0.596201\pi\) |
0.980560 | + | 0.196222i | \(0.0628672\pi\) | |||||||
\(398\) | −6.23286 | + | 8.57879i | −0.312425 | + | 0.430016i | ||||
\(399\) | 7.86234 | + | 23.5379i | 0.393609 | + | 1.17837i | ||||
\(400\) | −0.626993 | − | 4.33305i | −0.0313497 | − | 0.216653i | ||||
\(401\) | −0.0511906 | + | 0.0295549i | −0.00255633 | + | 0.00147590i | −0.501278 | − | 0.865287i | \(-0.667136\pi\) |
0.498721 | + | 0.866762i | \(0.333803\pi\) | |||||||
\(402\) | −5.53329 | − | 18.7574i | −0.275976 | − | 0.935532i | ||||
\(403\) | −1.30028 | + | 6.11734i | −0.0647716 | + | 0.304726i | ||||
\(404\) | −5.72225 | + | 6.35520i | −0.284693 | + | 0.316183i | ||||
\(405\) | −19.2308 | − | 5.93102i | −0.955585 | − | 0.294715i | ||||
\(406\) | 35.6505 | + | 45.5729i | 1.76930 | + | 2.26175i | ||||
\(407\) | −3.79876 | −0.188297 | ||||||||
\(408\) | 2.23309 | + | 28.7871i | 0.110554 | + | 1.42517i | ||||
\(409\) | 16.2216 | − | 1.70496i | 0.802106 | − | 0.0843047i | 0.305401 | − | 0.952224i | \(-0.401210\pi\) |
0.496705 | + | 0.867919i | \(0.334543\pi\) | |||||||
\(410\) | −61.0314 | + | 1.18974i | −3.01413 | + | 0.0587573i | ||||
\(411\) | −3.14263 | + | 13.0256i | −0.155014 | + | 0.642504i | ||||
\(412\) | −34.7395 | + | 25.2397i | −1.71149 | + | 1.24347i | ||||
\(413\) | −0.533471 | − | 0.852568i | −0.0262504 | − | 0.0419521i | ||||
\(414\) | 2.65455 | + | 3.29318i | 0.130464 | + | 0.161851i | ||||
\(415\) | 0.0662174 | − | 0.0620016i | 0.00325049 | − | 0.00304354i | ||||
\(416\) | 2.80167 | + | 26.6561i | 0.137363 | + | 1.30693i | ||||
\(417\) | 17.7349 | − | 12.1595i | 0.868479 | − | 0.595455i | ||||
\(418\) | 13.1838 | + | 22.8351i | 0.644842 | + | 1.11690i | ||||
\(419\) | −8.22159 | + | 25.3035i | −0.401651 | + | 1.23616i | 0.522008 | + | 0.852941i | \(0.325183\pi\) |
−0.923659 | + | 0.383215i | \(0.874817\pi\) | |||||||
\(420\) | 19.8283 | − | 28.9450i | 0.967521 | − | 1.41237i | ||||
\(421\) | −6.92066 | − | 21.2996i | −0.337293 | − | 1.03808i | −0.965582 | − | 0.260100i | \(-0.916245\pi\) |
0.628289 | − | 0.777980i | \(-0.283755\pi\) | |||||||
\(422\) | 5.79614 | − | 6.43727i | 0.282152 | − | 0.313361i | ||||
\(423\) | 3.20556 | + | 20.5373i | 0.155859 | + | 0.998559i | ||||
\(424\) | −6.40298 | + | 11.0903i | −0.310956 | + | 0.538592i | ||||
\(425\) | 24.1878 | + | 6.82915i | 1.17328 | + | 0.331262i | ||||
\(426\) | 2.66702 | − | 20.0838i | 0.129218 | − | 0.973065i | ||||
\(427\) | −12.3531 | + | 4.50475i | −0.597810 | + | 0.218000i | ||||
\(428\) | 3.68227 | + | 11.3329i | 0.177989 | + | 0.547794i | ||||
\(429\) | 13.7047 | + | 16.0827i | 0.661669 | + | 0.776478i | ||||
\(430\) | 16.7141 | − | 23.9741i | 0.806026 | − | 1.15613i | ||||
\(431\) | −6.69383 | + | 6.02715i | −0.322431 | + | 0.290318i | −0.814411 | − | 0.580288i | \(-0.802940\pi\) |
0.491980 | + | 0.870606i | \(0.336273\pi\) | |||||||
\(432\) | 0.578695 | + | 4.51299i | 0.0278425 | + | 0.217131i | ||||
\(433\) | −6.31202 | + | 19.4264i | −0.303336 | + | 0.933573i | 0.676956 | + | 0.736023i | \(0.263299\pi\) |
−0.980293 | + | 0.197550i | \(0.936701\pi\) | |||||||
\(434\) | 5.83301 | + | 3.09688i | 0.279993 | + | 0.148655i | ||||
\(435\) | −18.4295 | + | 31.3527i | −0.883627 | + | 1.50325i | ||||
\(436\) | 1.54644 | − | 14.7134i | 0.0740609 | − | 0.704642i | ||||
\(437\) | 3.26052 | − | 0.342694i | 0.155972 | − | 0.0163933i | ||||
\(438\) | −1.75902 | + | 64.4118i | −0.0840493 | + | 3.07772i | ||||
\(439\) | −31.9597 | − | 3.35910i | −1.52535 | − | 0.160321i | −0.695590 | − | 0.718439i | \(-0.744857\pi\) |
−0.829762 | + | 0.558118i | \(0.811524\pi\) | |||||||
\(440\) | 6.02861 | − | 14.2834i | 0.287403 | − | 0.680934i | ||||
\(441\) | 20.4666 | − | 4.70313i | 0.974599 | − | 0.223959i | ||||
\(442\) | 64.9674 | + | 21.1092i | 3.09018 | + | 1.00406i | ||||
\(443\) | −10.2001 | − | 17.6670i | −0.484619 | − | 0.839385i | 0.515225 | − | 0.857055i | \(-0.327708\pi\) |
−0.999844 | + | 0.0176703i | \(0.994375\pi\) | |||||||
\(444\) | −8.88740 | + | 6.09347i | −0.421777 | + | 0.289183i | ||||
\(445\) | −24.1890 | − | 16.8639i | −1.14667 | − | 0.799427i | ||||
\(446\) | 23.6951 | − | 26.3160i | 1.12199 | − | 1.24610i | ||||
\(447\) | 7.32790 | − | 1.34964i | 0.346598 | − | 0.0638359i | ||||
\(448\) | 32.4401 | + | 5.69956i | 1.53265 | + | 0.269279i | ||||
\(449\) | − | 8.66277i | − | 0.408821i | −0.978885 | − | 0.204411i | \(-0.934472\pi\) | ||
0.978885 | − | 0.204411i | \(-0.0655278\pi\) | |||||||
\(450\) | 34.0531 | + | 7.79610i | 1.60528 | + | 0.367512i | ||||
\(451\) | −21.2231 | − | 12.2532i | −0.999356 | − | 0.576979i | ||||
\(452\) | −15.3346 | + | 6.82740i | −0.721278 | + | 0.321134i | ||||
\(453\) | 23.7289 | − | 20.2204i | 1.11488 | − | 0.950038i | ||||
\(454\) | −48.8181 | + | 15.8620i | −2.29115 | + | 0.744439i | ||||
\(455\) | −18.8782 | − | 28.9018i | −0.885024 | − | 1.35494i | ||||
\(456\) | 28.0610 | + | 13.4231i | 1.31408 | + | 0.628594i | ||||
\(457\) | −24.4427 | + | 14.1120i | −1.14338 | + | 0.660132i | −0.947266 | − | 0.320449i | \(-0.896166\pi\) |
−0.196116 | + | 0.980581i | \(0.562833\pi\) | |||||||
\(458\) | 37.3508 | − | 33.6308i | 1.74529 | − | 1.57147i | ||||
\(459\) | −25.0186 | − | 7.50257i | −1.16777 | − | 0.350190i | ||||
\(460\) | −3.16804 | − | 3.38346i | −0.147711 | − | 0.157755i | ||||
\(461\) | −17.5599 | − | 12.7580i | −0.817845 | − | 0.594199i | 0.0982493 | − | 0.995162i | \(-0.468676\pi\) |
−0.916094 | + | 0.400963i | \(0.868676\pi\) | |||||||
\(462\) | 20.3085 | − | 9.24263i | 0.944837 | − | 0.430006i | ||||
\(463\) | −12.3999 | − | 17.0671i | −0.576275 | − | 0.793174i | 0.417006 | − | 0.908904i | \(-0.363079\pi\) |
−0.993281 | + | 0.115730i | \(0.963079\pi\) | |||||||
\(464\) | 8.17736 | + | 0.859475i | 0.379624 | + | 0.0399001i | ||||
\(465\) | −0.466130 | + | 4.12476i | −0.0216163 | + | 0.191281i | ||||
\(466\) | −2.16826 | − | 20.6296i | −0.100443 | − | 0.955647i | ||||
\(467\) | 4.63743 | + | 21.8174i | 0.214595 | + | 1.00959i | 0.945125 | + | 0.326708i | \(0.105940\pi\) |
−0.730531 | + | 0.682880i | \(0.760727\pi\) | |||||||
\(468\) | 57.8606 | + | 15.6430i | 2.67461 | + | 0.723097i | ||||
\(469\) | −4.79774 | + | 11.8958i | −0.221539 | + | 0.549297i | ||||
\(470\) | −8.18837 | − | 35.1408i | −0.377701 | − | 1.62092i | ||||
\(471\) | −14.6652 | + | 12.4968i | −0.675736 | + | 0.575823i | ||||
\(472\) | −1.23308 | − | 0.262099i | −0.0567570 | − | 0.0120641i | ||||
\(473\) | 10.7184 | − | 4.77216i | 0.492834 | − | 0.219424i | ||||
\(474\) | 1.36720 | + | 3.31121i | 0.0627974 | + | 0.152089i | ||||
\(475\) | 19.4006 | − | 18.8884i | 0.890159 | − | 0.866657i | ||||
\(476\) | 25.4405 | − | 37.7671i | 1.16606 | − | 1.73105i | ||||
\(477\) | −7.27008 | − | 9.01911i | −0.332874 | − | 0.412957i | ||||
\(478\) | −9.60140 | − | 8.64514i | −0.439158 | − | 0.395420i | ||||
\(479\) | −25.9919 | − | 5.52475i | −1.18760 | − | 0.252432i | −0.428582 | − | 0.903503i | \(-0.640987\pi\) |
−0.759017 | + | 0.651071i | \(0.774320\pi\) | |||||||
\(480\) | 3.56274 | + | 17.4297i | 0.162616 | + | 0.795554i | ||||
\(481\) | 2.20437 | + | 10.3707i | 0.100511 | + | 0.472865i | ||||
\(482\) | − | 50.1391i | − | 2.28377i | ||||||
\(483\) | −0.0227976 | − | 2.77422i | −0.00103732 | − | 0.126231i | ||||
\(484\) | −18.3629 | + | 13.3414i | −0.834678 | + | 0.606429i | ||||
\(485\) | −10.5500 | − | 2.02841i | −0.479053 | − | 0.0921056i | ||||
\(486\) | −35.2534 | − | 8.67310i | −1.59913 | − | 0.393420i | ||||
\(487\) | −15.8070 | + | 1.66138i | −0.716282 | + | 0.0752843i | −0.455657 | − | 0.890156i | \(-0.650596\pi\) |
−0.260626 | + | 0.965440i | \(0.583929\pi\) | |||||||
\(488\) | −6.70367 | + | 15.0567i | −0.303461 | + | 0.681584i | ||||
\(489\) | −11.2864 | + | 11.8667i | −0.510391 | + | 0.536632i | ||||
\(490\) | −34.8259 | + | 10.7718i | −1.57327 | + | 0.486619i | ||||
\(491\) | 21.9997 | + | 30.2800i | 0.992833 | + | 1.36652i | 0.929621 | + | 0.368517i | \(0.120134\pi\) |
0.0632118 | + | 0.998000i | \(0.479866\pi\) | |||||||
\(492\) | −69.3075 | + | 5.37636i | −3.12462 | + | 0.242385i | ||||
\(493\) | −23.6007 | + | 40.8777i | −1.06292 | + | 1.84104i | ||||
\(494\) | 54.6902 | − | 49.2432i | 2.46063 | − | 2.21556i | ||||
\(495\) | 10.0865 | + | 9.74443i | 0.453354 | + | 0.437979i | ||||
\(496\) | 0.892562 | − | 0.290011i | 0.0400772 | − | 0.0130219i | ||||
\(497\) | −9.55320 | + | 9.23675i | −0.428520 | + | 0.414325i | ||||
\(498\) | 0.112780 | − | 0.118578i | 0.00505379 | − | 0.00531362i | ||||
\(499\) | −18.9144 | − | 32.7607i | −0.846725 | − | 1.46657i | −0.884115 | − | 0.467270i | \(-0.845237\pi\) |
0.0373893 | − | 0.999301i | \(-0.488096\pi\) | |||||||
\(500\) | −37.8458 | − | 5.75719i | −1.69251 | − | 0.257469i | ||||
\(501\) | 8.79687 | + | 6.76577i | 0.393015 | + | 0.302272i | ||||
\(502\) | −3.41044 | + | 32.4481i | −0.152215 | + | 1.44823i | ||||
\(503\) | −32.1583 | + | 10.4488i | −1.43387 | + | 0.465891i | −0.919979 | − | 0.391967i | \(-0.871795\pi\) |
−0.513886 | + | 0.857858i | \(0.671795\pi\) | |||||||
\(504\) | 13.5940 | − | 22.5408i | 0.605524 | − | 1.00405i | ||||
\(505\) | 2.88616 | + | 4.78127i | 0.128432 | + | 0.212764i | ||||
\(506\) | −0.612871 | − | 2.88333i | −0.0272454 | − | 0.128180i | ||||
\(507\) | 22.2263 | − | 28.8986i | 0.987103 | − | 1.28343i | ||||
\(508\) | 20.1516 | − | 18.1446i | 0.894083 | − | 0.805036i | ||||
\(509\) | −22.4447 | − | 9.99301i | −0.994842 | − | 0.442932i | −0.156265 | − | 0.987715i | \(-0.549945\pi\) |
−0.838577 | + | 0.544783i | \(0.816612\pi\) | |||||||
\(510\) | 44.2746 | + | 9.77289i | 1.96051 | + | 0.432751i | ||||
\(511\) | 27.1461 | − | 32.3917i | 1.20087 | − | 1.43293i | ||||
\(512\) | 7.95260 | − | 5.77790i | 0.351459 | − | 0.255350i | ||||
\(513\) | −20.4764 | + | 19.3008i | −0.904056 | + | 0.852151i | ||||
\(514\) | 11.1191 | + | 24.9738i | 0.490441 | + | 1.10155i | ||||
\(515\) | 9.18386 | + | 26.4963i | 0.404689 | + | 1.16757i | ||||
\(516\) | 17.4215 | − | 28.3578i | 0.766939 | − | 1.24838i | ||||
\(517\) | 4.47628 | − | 13.7766i | 0.196867 | − | 0.605894i | ||||
\(518\) | 11.1692 | + | 0.774147i | 0.490747 | + | 0.0340141i | ||||
\(519\) | −1.54409 | − | 0.738621i | −0.0677780 | − | 0.0324219i | ||||
\(520\) | −42.4925 | − | 8.16986i | −1.86342 | − | 0.358272i | ||||
\(521\) | 37.8011 | + | 8.03486i | 1.65609 | + | 0.352014i | 0.938722 | − | 0.344676i | \(-0.112011\pi\) |
0.717373 | + | 0.696689i | \(0.245344\pi\) | |||||||
\(522\) | −29.9164 | + | 58.3899i | −1.30941 | + | 2.55566i | ||||
\(523\) | 1.11702 | − | 10.6277i | 0.0488439 | − | 0.464719i | −0.942575 | − | 0.333995i | \(-0.891603\pi\) |
0.991419 | − | 0.130724i | \(-0.0417301\pi\) | |||||||
\(524\) | 37.4544 | 1.63620 | ||||||||
\(525\) | −14.3275 | − | 17.8808i | −0.625302 | − | 0.780383i | ||||
\(526\) | 28.4656 | 1.24116 | ||||||||
\(527\) | −0.563149 | + | 5.35800i | −0.0245312 | + | 0.233398i | ||||
\(528\) | 1.06179 | − | 2.98775i | 0.0462085 | − | 0.130025i | ||||
\(529\) | 22.1389 | + | 4.70577i | 0.962560 | + | 0.204599i | ||||
\(530\) | 13.7444 | + | 14.6790i | 0.597020 | + | 0.637615i | ||||
\(531\) | 0.623237 | − | 0.955002i | 0.0270462 | − | 0.0414436i | ||||
\(532\) | −21.5325 | − | 44.0795i | −0.933551 | − | 1.91109i | ||||
\(533\) | −21.1361 | + | 65.0502i | −0.915505 | + | 2.81764i | ||||
\(534\) | −45.3247 | − | 27.8450i | −1.96139 | − | 1.20497i | ||||
\(535\) | 7.78046 | − | 0.151672i | 0.336379 | − | 0.00655736i | ||||
\(536\) | 6.53950 | + | 14.6880i | 0.282463 | + | 0.634423i | ||||
\(537\) | −0.500391 | + | 0.814511i | −0.0215935 | + | 0.0351488i | ||||
\(538\) | −28.7456 | + | 20.8849i | −1.23931 | + | 0.900413i | ||||
\(539\) | −14.2043 | − | 3.52304i | −0.611823 | − | 0.151748i | ||||
\(540\) | 39.2286 | + | 6.61821i | 1.68813 | + | 0.284802i | ||||
\(541\) | 16.7534 | + | 7.45908i | 0.720284 | + | 0.320691i | 0.733939 | − | 0.679216i | \(-0.237680\pi\) |
−0.0136548 | + | 0.999907i | \(0.504347\pi\) | |||||||
\(542\) | 41.9434 | − | 37.7660i | 1.80162 | − | 1.62219i | ||||
\(543\) | −22.9671 | − | 17.6643i | −0.985612 | − | 0.758046i | ||||
\(544\) | 4.80056 | + | 22.5849i | 0.205823 | + | 0.968319i | ||||
\(545\) | −8.90130 | − | 3.75698i | −0.381290 | − | 0.160931i | ||||
\(546\) | −37.0175 | − | 50.0796i | −1.58420 | − | 2.14321i | ||||
\(547\) | −22.4877 | + | 7.30670i | −0.961505 | + | 0.312412i | −0.747382 | − | 0.664395i | \(-0.768689\pi\) |
−0.214123 | + | 0.976807i | \(0.568689\pi\) | |||||||
\(548\) | 2.76877 | − | 26.3431i | 0.118276 | − | 1.12532i | ||||
\(549\) | −10.5189 | − | 10.5662i | −0.448934 | − | 0.450954i | ||||
\(550\) | −18.7132 | − | 15.5727i | −0.797933 | − | 0.664022i | ||||
\(551\) | 25.4257 | + | 44.0385i | 1.08317 | + | 1.87611i | ||||
\(552\) | −2.51979 | − | 2.39657i | −0.107250 | − | 0.102005i | ||||
\(553\) | 0.646261 | − | 2.25901i | 0.0274818 | − | 0.0960628i | ||||
\(554\) | −12.3638 | + | 4.01723i | −0.525285 | + | 0.170676i | ||||
\(555\) | 2.12228 | + | 6.70958i | 0.0900858 | + | 0.284806i | ||||
\(556\) | −31.5895 | + | 28.4433i | −1.33969 | + | 1.20626i | ||||
\(557\) | −1.16214 | + | 2.01289i | −0.0492415 | + | 0.0852888i | −0.889596 | − | 0.456749i | \(-0.849014\pi\) |
0.840354 | + | 0.542038i | \(0.182347\pi\) | |||||||
\(558\) | −0.408696 | + | 7.47723i | −0.0173015 | + | 0.316536i | ||||
\(559\) | −19.2479 | − | 26.4925i | −0.814101 | − | 1.12051i | ||||
\(560\) | −2.33958 | + | 4.62193i | −0.0988651 | + | 0.195312i | ||||
\(561\) | 13.1894 | + | 12.5445i | 0.556858 | + | 0.529628i | ||||
\(562\) | 27.2920 | − | 61.2988i | 1.15124 | − | 2.58573i | ||||
\(563\) | 16.3145 | − | 1.71473i | 0.687575 | − | 0.0722671i | 0.245703 | − | 0.969345i | \(-0.420981\pi\) |
0.441872 | + | 0.897078i | \(0.354314\pi\) | |||||||
\(564\) | −11.6261 | − | 39.4113i | −0.489546 | − | 1.65952i | ||||
\(565\) | 1.35813 | + | 10.8777i | 0.0571368 | + | 0.457629i | ||||
\(566\) | 20.3453 | − | 14.7817i | 0.855177 | − | 0.621323i | ||||
\(567\) | 14.5871 | + | 18.8206i | 0.612603 | + | 0.790391i | ||||
\(568\) | 16.6565i | 0.698890i | ||||||||
\(569\) | −3.43019 | − | 16.1378i | −0.143801 | − | 0.676530i | −0.989696 | − | 0.143181i | \(-0.954267\pi\) |
0.845896 | − | 0.533349i | \(-0.179067\pi\) | |||||||
\(570\) | 32.9671 | − | 36.0435i | 1.38084 | − | 1.50969i | ||||
\(571\) | −7.86695 | − | 1.67217i | −0.329222 | − | 0.0699782i | 0.0403356 | − | 0.999186i | \(-0.487157\pi\) |
−0.369557 | + | 0.929208i | \(0.620491\pi\) | |||||||
\(572\) | −31.0413 | − | 27.9497i | −1.29790 | − | 1.16863i | ||||
\(573\) | 15.8136 | − | 16.6266i | 0.660622 | − | 0.694587i | ||||
\(574\) | 59.9037 | + | 40.3521i | 2.50033 | + | 1.68427i | ||||
\(575\) | −2.71524 | + | 1.33804i | −0.113233 | + | 0.0558000i | ||||
\(576\) | 9.58512 | + | 36.0960i | 0.399380 | + | 1.50400i | ||||
\(577\) | 16.3137 | − | 7.26331i | 0.679146 | − | 0.302375i | −0.0380206 | − | 0.999277i | \(-0.512105\pi\) |
0.717167 | + | 0.696902i | \(0.245439\pi\) | |||||||
\(578\) | 18.8336 | + | 4.00320i | 0.783373 | + | 0.166511i | ||||
\(579\) | 0.760007 | + | 0.891879i | 0.0315848 | + | 0.0370652i | ||||
\(580\) | 27.9561 | − | 66.2355i | 1.16082 | − | 2.75028i | ||||
\(581\) | −0.106280 | + | 0.0150031i | −0.00440923 | + | 0.000622434i | ||||
\(582\) | −19.2121 | − | 2.55126i | −0.796368 | − | 0.105753i | ||||
\(583\) | 1.67848 | + | 7.89665i | 0.0695157 | + | 0.327046i | ||||
\(584\) | −5.53736 | − | 52.6844i | −0.229137 | − | 2.18010i | ||||
\(585\) | 20.7496 | − | 33.1910i | 0.857889 | − | 1.37228i | ||||
\(586\) | 16.2176 | + | 1.70453i | 0.669941 | + | 0.0704137i | ||||
\(587\) | −26.0089 | − | 35.7982i | −1.07350 | − | 1.47755i | −0.866478 | − | 0.499216i | \(-0.833621\pi\) |
−0.207026 | − | 0.978335i | \(-0.566379\pi\) | |||||||
\(588\) | −38.8830 | + | 14.5424i | −1.60351 | + | 0.599717i | ||||
\(589\) | 4.69562 | + | 3.41157i | 0.193480 | + | 0.140571i | ||||
\(590\) | −0.956181 | + | 1.73332i | −0.0393654 | + | 0.0713596i | ||||
\(591\) | 1.02574 | − | 37.5604i | 0.0421932 | − | 1.54503i | ||||
\(592\) | 1.18237 | − | 1.06461i | 0.0485950 | − | 0.0437552i | ||||
\(593\) | −7.01789 | + | 4.05178i | −0.288190 | + | 0.166387i | −0.637125 | − | 0.770760i | \(-0.719877\pi\) |
0.348935 | + | 0.937147i | \(0.386543\pi\) | |||||||
\(594\) | 19.1831 | + | 16.4959i | 0.787092 | + | 0.676837i | ||||
\(595\) | −18.7761 | − | 23.0612i | −0.769743 | − | 0.945417i | ||||
\(596\) | −14.0087 | + | 4.55172i | −0.573821 | + | 0.186446i | ||||
\(597\) | 5.11498 | + | 6.00250i | 0.209342 | + | 0.245666i | ||||
\(598\) | −7.51595 | + | 3.34632i | −0.307350 | + | 0.136841i | ||||
\(599\) | 32.5617 | + | 18.7995i | 1.33043 | + | 0.768126i | 0.985366 | − | 0.170452i | \(-0.0545228\pi\) |
0.345067 | + | 0.938578i | \(0.387856\pi\) | |||||||
\(600\) | −28.5962 | − | 2.66826i | −1.16743 | − | 0.108931i | ||||
\(601\) | − | 5.68492i | − | 0.231893i | −0.993255 | − | 0.115946i | \(-0.963010\pi\) | ||
0.993255 | − | 0.115946i | \(-0.0369901\pi\) | |||||||
\(602\) | −32.4872 | + | 11.8469i | −1.32408 | + | 0.482845i | ||||
\(603\) | −14.5260 | + | 0.728587i | −0.591546 | + | 0.0296704i | ||||
\(604\) | −41.2380 | + | 45.7994i | −1.67795 | + | 1.86355i | ||||
\(605\) | 4.85448 | + | 14.0056i | 0.197363 | + | 0.569411i | ||||
\(606\) | 5.69722 | + | 8.30947i | 0.231434 | + | 0.337549i | ||||
\(607\) | −19.0807 | − | 33.0487i | −0.774462 | − | 1.34141i | −0.935097 | − | 0.354393i | \(-0.884688\pi\) |
0.160635 | − | 0.987014i | \(-0.448646\pi\) | |||||||
\(608\) | 23.6574 | + | 7.68675i | 0.959433 | + | 0.311739i | ||||
\(609\) | 39.1659 | − | 17.8249i | 1.58708 | − | 0.722300i | ||||
\(610\) | 19.5673 | + | 16.9397i | 0.792256 | + | 0.685868i | ||||
\(611\) | −40.2081 | − | 4.22604i | −1.62665 | − | 0.170967i | ||||
\(612\) | 50.9796 | + | 8.19171i | 2.06073 | + | 0.331130i | ||||
\(613\) | −8.87209 | + | 0.932494i | −0.358340 | + | 0.0376631i | −0.281988 | − | 0.959418i | \(-0.590994\pi\) |
−0.0763520 | + | 0.997081i | \(0.524327\pi\) | |||||||
\(614\) | −2.08214 | + | 19.8103i | −0.0840284 | + | 0.799477i | ||||
\(615\) | −9.78535 | + | 44.3310i | −0.394583 | + | 1.78760i | ||||
\(616\) | −15.5507 | + | 9.73039i | −0.626554 | + | 0.392049i | ||||
\(617\) | 12.8535 | − | 39.5589i | 0.517461 | − | 1.59258i | −0.261297 | − | 0.965258i | \(-0.584150\pi\) |
0.778758 | − | 0.627324i | \(-0.215850\pi\) | |||||||
\(618\) | 19.3071 | + | 46.7598i | 0.776645 | + | 1.88095i | ||||
\(619\) | 10.2233 | − | 9.20514i | 0.410911 | − | 0.369986i | −0.437595 | − | 0.899172i | \(-0.644170\pi\) |
0.848505 | + | 0.529187i | \(0.177503\pi\) | |||||||
\(620\) | −0.159934 | − | 8.20429i | −0.00642311 | − | 0.329492i | ||||
\(621\) | 2.84387 | − | 1.34472i | 0.114121 | − | 0.0539619i | ||||
\(622\) | 13.5661 | + | 41.7521i | 0.543951 | + | 1.67411i | ||||
\(623\) | 11.9531 | + | 32.7783i | 0.478891 | + | 1.31324i | ||||
\(624\) | −8.77280 | − | 1.16498i | −0.351193 | − | 0.0466365i | ||||
\(625\) | −10.7757 | + | 22.5585i | −0.431029 | + | 0.902338i | ||||
\(626\) | −23.6790 | + | 41.0132i | −0.946403 | + | 1.63922i | ||||
\(627\) | 18.8085 | − | 5.54839i | 0.751140 | − | 0.221581i | ||||
\(628\) | 25.4863 | − | 28.3054i | 1.01701 | − | 1.12951i | ||||
\(629\) | 2.82240 | + | 8.68645i | 0.112536 | + | 0.346351i | ||||
\(630\) | −27.6708 | − | 30.7064i | −1.10243 | − | 1.22337i | ||||
\(631\) | −0.572943 | + | 1.76334i | −0.0228085 | + | 0.0701974i | −0.961813 | − | 0.273708i | \(-0.911750\pi\) |
0.939004 | + | 0.343905i | \(0.111750\pi\) | |||||||
\(632\) | −1.47259 | − | 2.55059i | −0.0585763 | − | 0.101457i | ||||
\(633\) | −3.64291 | − | 5.31323i | −0.144793 | − | 0.211182i | ||||
\(634\) | −0.138696 | − | 1.31960i | −0.00550832 | − | 0.0524082i | ||||
\(635\) | −7.51680 | − | 16.0344i | −0.298295 | − | 0.636306i | ||||
\(636\) | 16.5937 | + | 15.7822i | 0.657982 | + | 0.625806i | ||||
\(637\) | −1.37544 | + | 40.8227i | −0.0544971 | + | 1.61745i | ||||
\(638\) | 36.9894 | − | 26.8744i | 1.46443 | − | 1.06397i | ||||
\(639\) | −14.0547 | − | 5.43131i | −0.555994 | − | 0.214859i | ||||
\(640\) | −14.5041 | − | 41.8457i | −0.573325 | − | 1.65410i | ||||
\(641\) | 10.4895 | − | 1.10249i | 0.414310 | − | 0.0435458i | 0.104920 | − | 0.994481i | \(-0.466541\pi\) |
0.309391 | + | 0.950935i | \(0.399875\pi\) | |||||||
\(642\) | 13.9965 | − | 1.08574i | 0.552398 | − | 0.0428509i | ||||
\(643\) | 31.8125 | 1.25456 | 0.627281 | − | 0.778793i | \(-0.284168\pi\) | ||||
0.627281 | + | 0.778793i | \(0.284168\pi\) | |||||||
\(644\) | 0.766602 | + | 5.43050i | 0.0302084 | + | 0.213992i | ||||
\(645\) | −14.4170 | − | 16.2654i | −0.567669 | − | 0.640450i | ||||
\(646\) | 42.4206 | − | 47.1129i | 1.66902 | − | 1.85363i | ||||
\(647\) | −8.64280 | + | 40.6612i | −0.339783 | + | 1.59856i | 0.393959 | + | 0.919128i | \(0.371105\pi\) |
−0.733743 | + | 0.679427i | \(0.762228\pi\) | |||||||
\(648\) | 29.6693 | + | 3.25309i | 1.16552 | + | 0.127794i | ||||
\(649\) | −0.688244 | + | 0.397358i | −0.0270160 | + | 0.0155977i | ||||
\(650\) | −31.6550 | + | 60.1243i | −1.24161 | + | 2.35827i | ||||
\(651\) | 3.25636 | − | 3.67687i | 0.127627 | − | 0.144108i | ||||
\(652\) | 19.0292 | − | 26.1914i | 0.745240 | − | 1.02574i | ||||
\(653\) | −3.15734 | + | 3.50658i | −0.123556 | + | 0.137223i | −0.801749 | − | 0.597661i | \(-0.796097\pi\) |
0.678193 | + | 0.734884i | \(0.262763\pi\) | |||||||
\(654\) | −16.4233 | − | 5.83655i | −0.642202 | − | 0.228227i | ||||
\(655\) | 7.10373 | − | 23.4058i | 0.277566 | − | 0.914540i | ||||
\(656\) | 10.0397 | − | 2.13400i | 0.391984 | − | 0.0833187i | ||||
\(657\) | 46.2605 | + | 12.5068i | 1.80480 | + | 0.487938i | ||||
\(658\) | −15.9688 | + | 39.5941i | −0.622529 | + | 1.54354i | ||||
\(659\) | 1.47111 | + | 2.02482i | 0.0573065 | + | 0.0788756i | 0.836708 | − | 0.547649i | \(-0.184477\pi\) |
−0.779402 | + | 0.626524i | \(0.784477\pi\) | |||||||
\(660\) | −22.3015 | − | 16.4707i | −0.868085 | − | 0.641120i | ||||
\(661\) | 9.14187 | + | 20.5330i | 0.355578 | + | 0.798640i | 0.999439 | + | 0.0334981i | \(0.0106648\pi\) |
−0.643861 | + | 0.765142i | \(0.722669\pi\) | |||||||
\(662\) | 0.443363 | + | 4.21832i | 0.0172318 | + | 0.163950i | ||||
\(663\) | 26.5932 | − | 43.2870i | 1.03279 | − | 1.68113i | ||||
\(664\) | −0.0790798 | + | 0.108844i | −0.00306889 | + | 0.00422397i | ||||
\(665\) | −31.6299 | + | 5.09568i | −1.22655 | + | 0.197602i | ||||
\(666\) | 4.52290 | + | 11.8621i | 0.175259 | + | 0.459646i | ||||
\(667\) | −1.18195 | − | 5.56064i | −0.0457653 | − | 0.215309i | ||||
\(668\) | −18.9992 | − | 10.9692i | −0.735102 | − | 0.424411i | ||||
\(669\) | −14.8925 | − | 21.7209i | −0.575777 | − | 0.839778i | ||||
\(670\) | 25.0528 | − | 3.12794i | 0.967874 | − | 0.120843i | ||||
\(671\) | 3.21076 | + | 9.88170i | 0.123950 | + | 0.381479i | ||||
\(672\) | 8.40331 | − | 19.2994i | 0.324165 | − | 0.744491i | ||||
\(673\) | 3.98657 | − | 5.48704i | 0.153671 | − | 0.211510i | −0.725240 | − | 0.688496i | \(-0.758271\pi\) |
0.878910 | + | 0.476987i | \(0.158271\pi\) | |||||||
\(674\) | −54.2257 | + | 31.3072i | −2.08869 | + | 1.20591i | ||||
\(675\) | 11.5761 | − | 23.2593i | 0.445563 | − | 0.895251i | ||||
\(676\) | −36.0350 | + | 62.4144i | −1.38596 | + | 2.40055i | ||||
\(677\) | −27.3930 | − | 2.87912i | −1.05280 | − | 0.110653i | −0.437713 | − | 0.899115i | \(-0.644211\pi\) |
−0.615085 | + | 0.788461i | \(0.710878\pi\) | |||||||
\(678\) | 3.58200 | + | 19.4486i | 0.137566 | + | 0.746917i | ||||
\(679\) | 8.83583 | + | 9.13856i | 0.339088 | + | 0.350706i | ||||
\(680\) | −37.1403 | − | 3.17309i | −1.42427 | − | 0.121683i | ||||
\(681\) | 2.95245 | + | 38.0604i | 0.113138 | + | 1.45848i | ||||
\(682\) | 2.60929 | − | 4.51943i | 0.0999150 | − | 0.173058i | ||||
\(683\) | −16.0919 | − | 17.8718i | −0.615738 | − | 0.683847i | 0.351943 | − | 0.936021i | \(-0.385521\pi\) |
−0.967682 | + | 0.252175i | \(0.918854\pi\) | |||||||
\(684\) | 35.1036 | − | 43.1509i | 1.34222 | − | 1.64992i | ||||
\(685\) | −15.9370 | − | 6.72657i | −0.608923 | − | 0.257009i | ||||
\(686\) | 41.0460 | + | 13.2532i | 1.56714 | + | 0.506011i | ||||
\(687\) | −17.7989 | − | 32.8694i | −0.679070 | − | 1.25404i | ||||
\(688\) | −1.99872 | + | 4.48920i | −0.0762005 | + | 0.171149i | ||||
\(689\) | 20.5841 | − | 9.16465i | 0.784193 | − | 0.349145i | ||||
\(690\) | −4.75030 | + | 2.69334i | −0.180841 | + | 0.102534i | ||||
\(691\) | 2.56067 | − | 5.75136i | 0.0974125 | − | 0.218792i | −0.858266 | − | 0.513206i | \(-0.828458\pi\) |
0.955678 | + | 0.294414i | \(0.0951244\pi\) | |||||||
\(692\) | 3.21805 | + | 1.04561i | 0.122332 | + | 0.0397480i | ||||
\(693\) | −3.13974 | − | 16.2945i | −0.119269 | − | 0.618975i | ||||
\(694\) | −4.26411 | + | 13.1236i | −0.161863 | + | 0.498164i | ||||
\(695\) | 11.7833 | + | 25.1354i | 0.446964 | + | 0.953439i | ||||
\(696\) | 18.0620 | − | 50.8241i | 0.684637 | − | 1.92648i | ||||
\(697\) | −12.2504 | + | 57.6337i | −0.464018 | + | 2.18303i | ||||
\(698\) | 8.88081 | + | 0.933411i | 0.336144 | + | 0.0353301i | ||||
\(699\) | −15.2926 | − | 2.03077i | −0.578420 | − | 0.0768110i | ||||
\(700\) | 32.7296 | + | 31.3113i | 1.23706 | + | 1.18346i | ||||
\(701\) | − | 19.9200i | − | 0.752370i | −0.926545 | − | 0.376185i | \(-0.877236\pi\) | ||
0.926545 | − | 0.376185i | \(-0.122764\pi\) | |||||||
\(702\) | 33.9028 | − | 61.9430i | 1.27958 | − | 2.33789i | ||||
\(703\) | 9.62470 | + | 2.04579i | 0.363002 | + | 0.0771585i | ||||
\(704\) | 5.41127 | − | 25.4580i | 0.203945 | − | 0.959486i | ||||
\(705\) | −26.8338 | − | 0.209595i | −1.01062 | − | 0.00789380i | ||||
\(706\) | 19.9293 | + | 6.47542i | 0.750048 | + | 0.243705i | ||||
\(707\) | 0.456914 | − | 6.59226i | 0.0171840 | − | 0.247927i | ||||
\(708\) | −0.972796 | + | 2.03363i | −0.0365599 | + | 0.0764286i | ||||
\(709\) | 6.49172 | + | 2.89030i | 0.243802 | + | 0.108548i | 0.525000 | − | 0.851102i | \(-0.324065\pi\) |
−0.281198 | + | 0.959650i | \(0.590732\pi\) | |||||||
\(710\) | 25.0284 | + | 7.59620i | 0.939299 | + | 0.285080i | ||||
\(711\) | 2.63236 | − | 0.410870i | 0.0987212 | − | 0.0154088i | ||||
\(712\) | 39.9521 | + | 17.7878i | 1.49727 | + | 0.666626i | ||||
\(713\) | −0.381393 | − | 0.524942i | −0.0142833 | − | 0.0196592i | ||||
\(714\) | −36.2235 | − | 39.5715i | −1.35563 | − | 1.48092i | ||||
\(715\) | −23.3536 | + | 14.0971i | −0.873374 | + | 0.527202i | ||||
\(716\) | 0.768623 | − | 1.72635i | 0.0287248 | − | 0.0645169i | ||||
\(717\) | −7.92486 | + | 5.43352i | −0.295959 | + | 0.202918i | ||||
\(718\) | 60.3415 | + | 34.8382i | 2.25193 | + | 1.30015i | ||||
\(719\) | −34.6217 | + | 7.35906i | −1.29117 | + | 0.274447i | −0.801781 | − | 0.597619i | \(-0.796114\pi\) |
−0.489390 | + | 0.872065i | \(0.662780\pi\) | |||||||
\(720\) | −5.87032 | − | 0.206209i | −0.218774 | − | 0.00768495i | ||||
\(721\) | 9.12628 | − | 31.9009i | 0.339880 | − | 1.18805i | ||||
\(722\) | −7.43151 | − | 22.8718i | −0.276572 | − | 0.851202i | ||||
\(723\) | −36.2487 | − | 8.74558i | −1.34810 | − | 0.325252i | ||||
\(724\) | 49.6037 | + | 28.6387i | 1.84351 | + | 1.06435i | ||||
\(725\) | −36.0893 | − | 30.0327i | −1.34032 | − | 1.11539i | ||||
\(726\) | 10.2055 | + | 24.7167i | 0.378762 | + | 0.917322i | ||||
\(727\) | 15.3860 | + | 11.1786i | 0.570636 | + | 0.414591i | 0.835336 | − | 0.549740i | \(-0.185273\pi\) |
−0.264700 | + | 0.964331i | \(0.585273\pi\) | |||||||
\(728\) | 35.5882 | + | 36.8074i | 1.31899 | + | 1.36417i | ||||
\(729\) | −12.4195 | + | 23.9741i | −0.459980 | + | 0.887929i | ||||
\(730\) | −81.6901 | − | 15.7062i | −3.02349 | − | 0.581313i | ||||
\(731\) | −18.8759 | − | 20.9638i | −0.698149 | − | 0.775373i | ||||
\(732\) | 23.3627 | + | 17.9685i | 0.863508 | + | 0.664134i | ||||
\(733\) | 36.7296 | − | 7.80711i | 1.35664 | − | 0.288362i | 0.528522 | − | 0.848920i | \(-0.322747\pi\) |
0.828115 | + | 0.560558i | \(0.189413\pi\) | |||||||
\(734\) | −4.52148 | + | 3.28505i | −0.166891 | + | 0.121253i | ||||
\(735\) | 1.71304 | + | 27.0567i | 0.0631865 | + | 0.998002i | ||||
\(736\) | −2.24976 | − | 1.63455i | −0.0829272 | − | 0.0602501i | ||||
\(737\) | 9.25950 | + | 4.12260i | 0.341078 | + | 0.151858i | ||||
\(738\) | −12.9932 | + | 80.8605i | −0.478285 | + | 2.97652i | ||||
\(739\) | 0.793666 | − | 0.353363i | 0.0291955 | − | 0.0129987i | −0.392087 | − | 0.919928i | \(-0.628247\pi\) |
0.421282 | + | 0.906929i | \(0.361580\pi\) | |||||||
\(740\) | −5.90490 | − | 12.5960i | −0.217068 | − | 0.463038i | ||||
\(741\) | −26.0616 | − | 48.1283i | −0.957398 | − | 1.76804i | ||||
\(742\) | −3.32587 | − | 23.5600i | −0.122097 | − | 0.864915i | ||||
\(743\) | −1.60475 | −0.0588726 | −0.0294363 | − | 0.999567i | \(-0.509371\pi\) | ||||
−0.0294363 | + | 0.999567i | \(0.509371\pi\) | |||||||
\(744\) | −0.476140 | − | 6.13799i | −0.0174561 | − | 0.225030i | ||||
\(745\) | 0.187485 | + | 9.61757i | 0.00686891 | + | 0.352360i | ||||
\(746\) | −8.98861 | + | 42.2881i | −0.329096 | + | 1.54828i | ||||
\(747\) | −0.0660560 | − | 0.102219i | −0.00241686 | − | 0.00373999i | ||||
\(748\) | −29.1108 | − | 21.1502i | −1.06440 | − | 0.773329i | ||||
\(749\) | −7.63670 | − | 5.14421i | −0.279039 | − | 0.187965i | ||||
\(750\) | −17.0507 | + | 41.7524i | −0.622604 | + | 1.52458i | ||||
\(751\) | 5.94291 | + | 10.2934i | 0.216860 | + | 0.375612i | 0.953846 | − | 0.300295i | \(-0.0970852\pi\) |
−0.736986 | + | 0.675908i | \(0.763752\pi\) | |||||||
\(752\) | 2.46766 | + | 5.54247i | 0.0899865 | + | 0.202113i | ||||
\(753\) | 22.8639 | + | 8.12543i | 0.833208 | + | 0.296107i | ||||
\(754\) | −94.8325 | − | 85.3876i | −3.45360 | − | 3.10963i | ||||
\(755\) | 20.7994 | + | 34.4567i | 0.756967 | + | 1.25401i | ||||
\(756\) | −33.4830 | − | 33.0854i | −1.21777 | − | 1.20330i | ||||
\(757\) | − | 26.2321i | − | 0.953420i | −0.879061 | − | 0.476710i | \(-0.841829\pi\) | ||
0.879061 | − | 0.476710i | \(-0.158171\pi\) | |||||||
\(758\) | −24.4640 | + | 5.19998i | −0.888571 | + | 0.188872i | ||||
\(759\) | −2.19144 | − | 0.0598461i | −0.0795443 | − | 0.00217228i | ||||
\(760\) | −22.9666 | + | 32.9424i | −0.833085 | + | 1.19495i | ||||
\(761\) | 2.38267 | − | 22.6696i | 0.0863718 | − | 0.821773i | −0.862489 | − | 0.506077i | \(-0.831095\pi\) |
0.948860 | − | 0.315696i | \(-0.102238\pi\) | |||||||
\(762\) | −15.2121 | − | 28.0924i | −0.551077 | − | 1.01768i | ||||
\(763\) | 6.06390 | + | 9.69104i | 0.219528 | + | 0.350839i | ||||
\(764\) | −26.6620 | + | 36.6971i | −0.964598 | + | 1.32766i | ||||
\(765\) | 14.7881 | − | 30.3042i | 0.534665 | − | 1.09565i | ||||
\(766\) | −8.74379 | + | 0.919009i | −0.315926 | + | 0.0332052i | ||||
\(767\) | 1.48418 | + | 1.64835i | 0.0535907 | + | 0.0595185i | ||||
\(768\) | −14.0334 | − | 33.9875i | −0.506387 | − | 1.22642i | ||||
\(769\) | −28.7181 | − | 9.33107i | −1.03560 | − | 0.336487i | −0.258598 | − | 0.965985i | \(-0.583261\pi\) |
−0.777002 | + | 0.629498i | \(0.783261\pi\) | |||||||
\(770\) | 7.52921 | + | 27.8043i | 0.271334 | + | 1.00200i | ||||
\(771\) | 19.9946 | − | 3.68258i | 0.720089 | − | 0.132625i | ||||
\(772\) | −1.72142 | − | 1.54998i | −0.0619554 | − | 0.0557849i | ||||
\(773\) | 9.35258 | + | 21.0062i | 0.336389 | + | 0.755542i | 0.999972 | + | 0.00743952i | \(0.00236809\pi\) |
−0.663583 | + | 0.748102i | \(0.730965\pi\) | |||||||
\(774\) | −27.6633 | − | 27.7877i | −0.994335 | − | 0.998809i | ||||
\(775\) | −5.15732 | − | 1.45611i | −0.185256 | − | 0.0523050i | ||||
\(776\) | 15.9335 | 0.571980 | ||||||||
\(777\) | 2.50789 | − | 7.93990i | 0.0899699 | − | 0.284842i | ||||
\(778\) | −4.93141 | + | 1.60231i | −0.176800 | + | 0.0574457i | ||||
\(779\) | 47.1729 | + | 42.4747i | 1.69014 | + | 1.52181i | ||||
\(780\) | −32.0242 | + | 70.4417i | −1.14665 | + | 2.52222i | ||||
\(781\) | 7.02619 | + | 7.80338i | 0.251417 | + | 0.279227i | ||||
\(782\) | −6.13783 | + | 3.54368i | −0.219488 | + | 0.126722i | ||||
\(783\) | 36.9956 | + | 31.8132i | 1.32211 | + | 1.13691i | ||||
\(784\) | 5.40845 | − | 2.88424i | 0.193159 | − | 0.103008i | ||||
\(785\) | −12.8546 | − | 21.2953i | −0.458801 | − | 0.760060i | ||||
\(786\) | 10.3491 | − | 42.8949i | 0.369140 | − | 1.53001i | ||||
\(787\) | 2.55420 | + | 24.3016i | 0.0910474 | + | 0.866258i | 0.940774 | + | 0.339034i | \(0.110100\pi\) |
−0.849727 | + | 0.527224i | \(0.823233\pi\) | |||||||
\(788\) | 7.76420 | + | 73.8714i | 0.276588 | + | 2.63156i | ||||
\(789\) | 4.96515 | − | 20.5796i | 0.176764 | − | 0.732652i | ||||
\(790\) | −4.50415 | + | 1.04954i | −0.160251 | + | 0.0373409i | ||||
\(791\) | 6.08232 | − | 11.4561i | 0.216262 | − | 0.407332i | ||||
\(792\) | −17.4190 | − | 11.3677i | −0.618958 | − | 0.403934i | ||||
\(793\) | 25.1142 | − | 14.4997i | 0.891832 | − | 0.514900i | ||||
\(794\) | 31.6900 | + | 35.1953i | 1.12463 | + | 1.24903i | ||||
\(795\) | 13.0098 | − | 7.37631i | 0.461409 | − | 0.261611i | ||||
\(796\) | −11.5855 | − | 10.4316i | −0.410636 | − | 0.369738i | ||||
\(797\) | 30.3656 | − | 9.86637i | 1.07560 | − | 0.349485i | 0.282936 | − | 0.959139i | \(-0.408692\pi\) |
0.792667 | + | 0.609654i | \(0.208692\pi\) | |||||||
\(798\) | −56.4321 | + | 12.4805i | −1.99767 | + | 0.441806i | ||||
\(799\) | −34.8281 | −1.23213 | ||||||||
\(800\) | −22.9495 | + | 0.895094i | −0.811387 | + | 0.0316463i | ||||
\(801\) | −28.0368 | + | 27.9112i | −0.990631 | + | 0.986194i | ||||
\(802\) | −0.0559927 | − | 0.125762i | −0.00197717 | − | 0.00444080i | ||||
\(803\) | −24.8180 | − | 22.3463i | −0.875810 | − | 0.788582i | ||||
\(804\) | 28.2760 | − | 5.20784i | 0.997219 | − | 0.183666i | ||||
\(805\) | 3.53900 | + | 0.550908i | 0.124733 | + | 0.0194169i | ||||
\(806\) | −13.8523 | − | 4.50090i | −0.487928 | − | 0.158537i | ||||
\(807\) | 10.0850 | + | 24.4249i | 0.355010 | + | 0.859798i | ||||
\(808\) | −5.54238 | − | 6.15544i | −0.194980 | − | 0.216548i | ||||
\(809\) | −17.6004 | + | 1.84988i | −0.618797 | + | 0.0650382i | −0.408740 | − | 0.912651i | \(-0.634032\pi\) |
−0.210057 | + | 0.977689i | \(0.567365\pi\) | |||||||
\(810\) | 18.4189 | − | 43.0982i | 0.647174 | − | 1.51432i | ||||
\(811\) | 10.5490 | − | 14.5194i | 0.370424 | − | 0.509845i | −0.582592 | − | 0.812765i | \(-0.697961\pi\) |
0.953016 | + | 0.302920i | \(0.0979614\pi\) | |||||||
\(812\) | −72.1121 | + | 45.1222i | −2.53064 | + | 1.58348i | ||||
\(813\) | −19.9874 | − | 36.9109i | −0.700988 | − | 1.29452i | ||||
\(814\) | 0.924772 | − | 8.79862i | 0.0324133 | − | 0.308392i | ||||
\(815\) | −12.7583 | − | 16.8592i | −0.446903 | − | 0.590552i | ||||
\(816\) | −7.62084 | − | 0.208117i | −0.266783 | − | 0.00728557i | ||||
\(817\) | −29.7267 | + | 6.31861i | −1.04001 | + | 0.221060i | ||||
\(818\) | 37.9872i | 1.32819i | ||||||||
\(819\) | −42.6625 | + | 18.0271i | −1.49075 | + | 0.629917i | ||||
\(820\) | 7.63950 | − | 89.4186i | 0.266783 | − | 3.12263i | ||||
\(821\) | −9.69982 | − | 8.73376i | −0.338526 | − | 0.304810i | 0.482280 | − | 0.876017i | \(-0.339809\pi\) |
−0.820806 | + | 0.571207i | \(0.806475\pi\) | |||||||
\(822\) | −29.4046 | − | 10.4499i | −1.02560 | − | 0.364481i | ||||
\(823\) | 7.69660 | + | 17.2869i | 0.268287 | + | 0.602582i | 0.996575 | − | 0.0826886i | \(-0.0263507\pi\) |
−0.728289 | + | 0.685270i | \(0.759684\pi\) | |||||||
\(824\) | −20.7953 | − | 36.0186i | −0.724440 | − | 1.25477i | ||||
\(825\) | −14.5226 | + | 10.8127i | −0.505610 | + | 0.376449i | ||||
\(826\) | 2.10457 | − | 1.02807i | 0.0732275 | − | 0.0357710i | ||||
\(827\) | 26.2970 | + | 19.1059i | 0.914435 | + | 0.664376i | 0.942133 | − | 0.335240i | \(-0.108818\pi\) |
−0.0276976 | + | 0.999616i | \(0.508818\pi\) | |||||||
\(828\) | −5.22299 | + | 3.37521i | −0.181512 | + | 0.117297i | ||||
\(829\) | −11.0353 | + | 51.9168i | −0.383270 | + | 1.80314i | 0.187760 | + | 0.982215i | \(0.439877\pi\) |
−0.571030 | + | 0.820929i | \(0.693456\pi\) | |||||||
\(830\) | 0.127487 | + | 0.168465i | 0.00442514 | + | 0.00584752i | ||||
\(831\) | 0.747741 | + | 9.63925i | 0.0259389 | + | 0.334382i | ||||
\(832\) | −72.6415 | −2.51839 | ||||||||
\(833\) | 2.49754 | + | 35.0979i | 0.0865346 | + | 1.21607i | ||||
\(834\) | 23.8464 | + | 44.0373i | 0.825732 | + | 1.52489i | ||||
\(835\) | −10.4583 | + | 9.79244i | −0.361924 | + | 0.338881i | ||||
\(836\) | −35.4139 | + | 15.7673i | −1.22481 | + | 0.545322i | ||||
\(837\) | 5.33447 | + | 1.59970i | 0.184386 | + | 0.0552937i | ||||
\(838\) | −56.6060 | − | 25.2026i | −1.95542 | − | 0.870610i | ||||
\(839\) | 10.2207 | + | 7.42576i | 0.352857 | + | 0.256366i | 0.750067 | − | 0.661362i | \(-0.230021\pi\) |
−0.397209 | + | 0.917728i | \(0.630021\pi\) | |||||||
\(840\) | 25.8742 | + | 22.0303i | 0.892743 | + | 0.760117i | ||||
\(841\) | 47.8744 | − | 34.7828i | 1.65084 | − | 1.19941i | ||||
\(842\) | 51.0186 | − | 10.8443i | 1.75822 | − | 0.373721i | ||||
\(843\) | −39.5563 | − | 30.4232i | −1.36239 | − | 1.04783i | ||||
\(844\) | 8.52139 | + | 9.46396i | 0.293318 | + | 0.325763i | ||||
\(845\) | 32.1692 | + | 34.3565i | 1.10665 | + | 1.18190i | ||||
\(846\) | −48.3486 | + | 2.42504i | −1.66226 | + | 0.0833744i | ||||
\(847\) | 4.82405 | − | 16.8625i | 0.165756 | − | 0.579401i | ||||
\(848\) | −2.73548 | − | 1.98744i | −0.0939368 | − | 0.0682491i | ||||
\(849\) | −7.13789 | − | 17.2872i | −0.244972 | − | 0.593297i | ||||
\(850\) | −21.7058 | + | 54.3608i | −0.744504 | + | 1.86456i | ||||
\(851\) | −0.952646 | − | 0.550010i | −0.0326563 | − | 0.0188541i | ||||
\(852\) | 28.9553 | + | 6.98593i | 0.991992 | + | 0.239334i | ||||
\(853\) | −2.03720 | − | 6.26987i | −0.0697525 | − | 0.214676i | 0.910104 | − | 0.414381i | \(-0.136002\pi\) |
−0.979856 | + | 0.199704i | \(0.936002\pi\) | |||||||
\(854\) | −7.42658 | − | 29.7088i | −0.254132 | − | 1.01661i | ||||
\(855\) | −20.3078 | − | 30.1209i | −0.694511 | − | 1.03011i | ||||
\(856\) | −11.2893 | + | 2.39962i | −0.385860 | + | 0.0820172i | ||||
\(857\) | −3.72029 | − | 2.14791i | −0.127083 | − | 0.0733713i | 0.435111 | − | 0.900377i | \(-0.356709\pi\) |
−0.562194 | + | 0.827006i | \(0.690042\pi\) | |||||||
\(858\) | −40.5867 | + | 27.8274i | −1.38561 | + | 0.950013i | ||||
\(859\) | −21.9183 | + | 49.2294i | −0.747844 | + | 1.67969i | −0.0144373 | + | 0.999896i | \(0.504596\pi\) |
−0.733407 | + | 0.679790i | \(0.762071\pi\) | |||||||
\(860\) | 32.4847 | + | 28.1224i | 1.10772 | + | 0.958967i | ||||
\(861\) | 39.6219 | − | 36.2697i | 1.35031 | − | 1.23607i | ||||
\(862\) | −12.3304 | − | 16.9714i | −0.419977 | − | 0.578048i | ||||
\(863\) | −44.8192 | − | 19.9548i | −1.52566 | − | 0.679269i | −0.539039 | − | 0.842281i | \(-0.681212\pi\) |
−0.986624 | + | 0.163012i | \(0.947879\pi\) | |||||||
\(864\) | 23.8617 | − | 0.544455i | 0.811793 | − | 0.0185227i | ||||
\(865\) | 1.26376 | − | 1.81269i | 0.0429692 | − | 0.0616334i | ||||
\(866\) | −43.4585 | − | 19.3490i | −1.47678 | − | 0.657505i | ||||
\(867\) | 6.17924 | − | 12.9177i | 0.209858 | − | 0.438708i | ||||
\(868\) | −5.42443 | + | 8.05269i | −0.184117 | + | 0.273326i | ||||
\(869\) | −1.76581 | − | 0.573745i | −0.0599009 | − | 0.0194630i | ||||
\(870\) | −68.1322 | − | 50.3187i | −2.30990 | − | 1.70596i | ||||
\(871\) | 5.88167 | − | 27.6711i | 0.199293 | − | 0.937598i | ||||
\(872\) | 14.0162 | + | 2.97924i | 0.474650 | + | 0.100890i | ||||
\(873\) | −5.19557 | + | 13.4446i | −0.175843 | + | 0.455032i | ||||
\(874\) | 7.63539i | 0.258271i | ||||||||
\(875\) | 25.7745 | − | 14.5146i | 0.871338 | − | 0.490683i | ||||
\(876\) | −93.9081 | − | 12.4705i | −3.17286 | − | 0.421338i | ||||
\(877\) | −4.84659 | − | 0.509397i | −0.163658 | − | 0.0172011i | 0.0223452 | − | 0.999750i | \(-0.492887\pi\) |
−0.186003 | + | 0.982549i | \(0.559553\pi\) | |||||||
\(878\) | 15.5606 | − | 73.2067i | 0.525144 | − | 2.47061i | ||||
\(879\) | 4.06109 | − | 11.4274i | 0.136977 | − | 0.385436i | ||||
\(880\) | 3.58429 | + | 1.97727i | 0.120826 | + | 0.0666536i | ||||
\(881\) | −8.84872 | + | 27.2336i | −0.298121 | + | 0.917522i | 0.684034 | + | 0.729450i | \(0.260224\pi\) |
−0.982155 | + | 0.188072i | \(0.939776\pi\) | |||||||
\(882\) | 5.91092 | + | 48.5493i | 0.199031 | + | 1.63474i | ||||
\(883\) | −28.3955 | − | 9.22627i | −0.955586 | − | 0.310489i | −0.210603 | − | 0.977572i | \(-0.567543\pi\) |
−0.744983 | + | 0.667083i | \(0.767543\pi\) | |||||||
\(884\) | −40.8483 | + | 91.7467i | −1.37388 | + | 3.08578i | ||||
\(885\) | 1.08634 | + | 0.993621i | 0.0365170 | + | 0.0334002i | ||||
\(886\) | 43.4031 | − | 19.3243i | 1.45816 | − | 0.649213i | ||||
\(887\) | −16.9848 | + | 38.1486i | −0.570295 | + | 1.28090i | 0.366302 | + | 0.930496i | \(0.380624\pi\) |
−0.936597 | + | 0.350407i | \(0.886043\pi\) | |||||||
\(888\) | −4.96981 | − | 9.17781i | −0.166776 | − | 0.307987i | ||||
\(889\) | −3.62587 | + | 20.6373i | −0.121608 | + | 0.692154i | ||||
\(890\) | 44.9485 | − | 51.9207i | 1.50668 | − | 1.74039i | ||||
\(891\) | 15.2720 | − | 10.9913i | 0.511631 | − | 0.368224i | ||||
\(892\) | 34.8361 | + | 38.6894i | 1.16640 | + | 1.29542i | ||||
\(893\) | −18.7606 | + | 32.4943i | −0.627799 | + | 1.08738i | ||||
\(894\) | 1.34211 | + | 17.3013i | 0.0448868 | + | 0.578643i | ||||
\(895\) | −0.933045 | − | 0.807751i | −0.0311883 | − | 0.0270001i | ||||
\(896\) | −14.4132 | + | 50.3812i | −0.481510 | + | 1.68312i | ||||
\(897\) | 1.10828 | + | 6.01744i | 0.0370045 | + | 0.200917i | ||||
\(898\) | 20.0646 | + | 2.10887i | 0.669563 | + | 0.0703739i | ||||
\(899\) | 5.03215 | − | 8.71594i | 0.167832 | − | 0.290693i | ||||
\(900\) | −16.6321 | + | 48.5920i | −0.554402 | + | 1.61973i | ||||
\(901\) | 16.8098 | − | 9.70516i | 0.560017 | − | 0.323326i | ||||
\(902\) | 33.5471 | − | 46.1737i | 1.11700 | − | 1.53741i | ||||
\(903\) | 2.89827 | + | 25.5534i | 0.0964483 | + | 0.850365i | ||||
\(904\) | −5.02405 | − | 15.4624i | −0.167097 | − | 0.514273i | ||||
\(905\) | 27.3048 | − | 25.5663i | 0.907641 | − | 0.849854i | ||||
\(906\) | 41.0576 | + | 59.8831i | 1.36405 | + | 1.98948i | ||||
\(907\) | 4.36503 | + | 2.52015i | 0.144939 | + | 0.0836803i | 0.570716 | − | 0.821148i | \(-0.306666\pi\) |
−0.425777 | + | 0.904828i | \(0.639999\pi\) | |||||||
\(908\) | −15.6901 | − | 73.8160i | −0.520693 | − | 2.44967i | ||||
\(909\) | 7.00119 | − | 2.66949i | 0.232215 | − | 0.0885414i | ||||
\(910\) | 71.5377 | − | 36.6895i | 2.37145 | − | 1.21625i | ||||
\(911\) | 30.1955 | − | 41.5605i | 1.00042 | − | 1.37696i | 0.0753535 | − | 0.997157i | \(-0.475991\pi\) |
0.925067 | − | 0.379804i | \(-0.124009\pi\) | |||||||
\(912\) | −4.29923 | + | 6.99807i | −0.142362 | + | 0.231729i | ||||
\(913\) | 0.00886559 | + | 0.0843504i | 0.000293408 | + | 0.00279159i | ||||
\(914\) | −26.7356 | − | 60.0493i | −0.884337 | − | 1.98625i | ||||
\(915\) | 15.6598 | − | 11.1917i | 0.517698 | − | 0.369986i | ||||
\(916\) | 43.4327 | + | 59.7800i | 1.43506 | + | 1.97519i | ||||
\(917\) | −22.7953 | + | 17.8322i | −0.752767 | + | 0.588870i | ||||
\(918\) | 23.4679 | − | 56.1213i | 0.774556 | − | 1.85228i | ||||
\(919\) | 22.3626 | − | 4.75332i | 0.737675 | − | 0.156798i | 0.176273 | − | 0.984341i | \(-0.443596\pi\) |
0.561401 | + | 0.827544i | \(0.310262\pi\) | |||||||
\(920\) | 3.57990 | − | 2.70910i | 0.118026 | − | 0.0893164i | ||||
\(921\) | 13.9589 | + | 4.96074i | 0.459962 | + | 0.163462i | ||||
\(922\) | 33.8247 | − | 37.5661i | 1.11396 | − | 1.23717i | ||||
\(923\) | 17.2263 | − | 23.7100i | 0.567010 | − | 0.780423i | ||||
\(924\) | 10.3930 | + | 31.1140i | 0.341904 | + | 1.02358i | ||||
\(925\) | −8.99137 | + | 1.30105i | −0.295634 | + | 0.0427784i | ||||
\(926\) | 42.5491 | − | 24.5657i | 1.39825 | − | 0.807280i | ||||
\(927\) | 37.1733 | − | 5.80217i | 1.22093 | − | 0.190568i | ||||
\(928\) | 8.96783 | − | 42.1903i | 0.294383 | − | 1.38496i | ||||
\(929\) | 34.1329 | − | 37.9085i | 1.11987 | − | 1.24374i | 0.153062 | − | 0.988217i | \(-0.451087\pi\) |
0.966804 | − | 0.255520i | \(-0.0822467\pi\) | |||||||
\(930\) | −9.44022 | − | 2.08378i | −0.309557 | − | 0.0683297i | ||||
\(931\) | 34.0914 | + | 16.5758i | 1.11730 | + | 0.543249i | ||||
\(932\) | 30.4963 | 0.998940 | ||||||||
\(933\) | 32.5515 | − | 2.52511i | 1.06569 | − | 0.0826683i | ||||
\(934\) | −51.6620 | + | 5.42990i | −1.69043 | + | 0.177672i | ||||
\(935\) | −18.7384 | + | 14.1803i | −0.612810 | + | 0.463747i | ||||
\(936\) | −20.9262 | + | 54.1511i | −0.683995 | + | 1.76998i | ||||
\(937\) | 9.53104 | − | 6.92471i | 0.311366 | − | 0.226220i | −0.421117 | − | 0.907006i | \(-0.638362\pi\) |
0.732482 | + | 0.680786i | \(0.238362\pi\) | |||||||
\(938\) | −26.3849 | − | 14.0084i | −0.861498 | − | 0.457389i | ||||
\(939\) | 25.5208 | + | 24.2728i | 0.832840 | + | 0.792114i | ||||
\(940\) | 52.6387 | − | 6.57216i | 1.71689 | − | 0.214360i | ||||
\(941\) | −1.54088 | − | 14.6605i | −0.0502313 | − | 0.477919i | −0.990503 | − | 0.137493i | \(-0.956096\pi\) |
0.940271 | − | 0.340426i | \(-0.110571\pi\) | |||||||
\(942\) | −25.3748 | − | 37.0095i | −0.826756 | − | 1.20583i | ||||
\(943\) | −3.54819 | − | 6.14565i | −0.115545 | − | 0.200130i | ||||
\(944\) | 0.102857 | − | 0.316560i | 0.00334770 | − | 0.0103031i | ||||
\(945\) | −27.0261 | + | 14.6489i | −0.879158 | + | 0.476530i | ||||
\(946\) | 8.44389 | + | 25.9876i | 0.274534 | + | 0.844930i | ||||
\(947\) | −39.4814 | + | 43.8486i | −1.28297 | + | 1.42489i | −0.430090 | + | 0.902786i | \(0.641518\pi\) |
−0.852884 | + | 0.522100i | \(0.825149\pi\) | |||||||
\(948\) | −5.05152 | + | 1.49017i | −0.164066 | + | 0.0483983i | ||||
\(949\) | −46.6045 | + | 80.7214i | −1.51285 | + | 2.62033i | ||||
\(950\) | 39.0260 | + | 49.5335i | 1.26617 | + | 1.60708i | ||||
\(951\) | −0.978217 | − | 0.129902i | −0.0317209 | − | 0.00421235i | ||||
\(952\) | 33.8039 | + | 28.3295i | 1.09559 | + | 0.918165i | ||||
\(953\) | 0.201148 | + | 0.619071i | 0.00651583 | + | 0.0200537i | 0.954262 | − | 0.298973i | \(-0.0966440\pi\) |
−0.947746 | + | 0.319027i | \(0.896644\pi\) | |||||||
\(954\) | 22.6598 | − | 14.6432i | 0.733637 | − | 0.474092i | ||||
\(955\) | 17.8758 | + | 23.6216i | 0.578446 | + | 0.764377i | ||||
\(956\) | 14.1158 | − | 12.7099i | 0.456538 | − | 0.411069i | ||||
\(957\) | −12.9773 | − | 31.4296i | −0.419495 | − | 1.01597i | ||||
\(958\) | 19.1238 | − | 58.8570i | 0.617862 | − | 1.90158i | ||||
\(959\) | 10.8569 | + | 17.3510i | 0.350588 | + | 0.560293i | ||||
\(960\) | −47.9886 | + | 4.66514i | −1.54882 | + | 0.150567i | ||||
\(961\) | −3.12031 | + | 29.6877i | −0.100655 | + | 0.957669i | ||||
\(962\) | −24.5572 | + | 2.58106i | −0.791755 | + | 0.0832169i | ||||
\(963\) | 1.65641 | − | 10.3083i | 0.0533770 | − | 0.332182i | ||||
\(964\) | 73.3098 | + | 7.70517i | 2.36115 | + | 0.248167i | ||||
\(965\) | −1.29509 | + | 0.781769i | −0.0416906 | + | 0.0251660i | ||||
\(966\) | 6.43114 | + | 0.622554i | 0.206919 | + | 0.0200303i | ||||
\(967\) | 16.7740 | + | 5.45021i | 0.539416 | + | 0.175267i | 0.566039 | − | 0.824379i | \(-0.308475\pi\) |
−0.0266227 | + | 0.999646i | \(0.508475\pi\) | |||||||
\(968\) | −10.9922 | − | 19.0390i | −0.353302 | − | 0.611937i | ||||
\(969\) | −26.6616 | − | 38.8863i | −0.856494 | − | 1.24921i | ||||
\(970\) | 7.26649 | − | 23.9421i | 0.233313 | − | 0.768733i | ||||
\(971\) | −0.469136 | + | 0.521028i | −0.0150553 | + | 0.0167206i | −0.750625 | − | 0.660728i | \(-0.770248\pi\) |
0.735570 | + | 0.677449i | \(0.236914\pi\) | |||||||
\(972\) | 18.0988 | − | 50.2122i | 0.580519 | − | 1.61056i | ||||
\(973\) | 5.68388 | − | 32.3509i | 0.182217 | − | 1.03712i | ||||
\(974\) | − | 37.0163i | − | 1.18608i | ||||||
\(975\) | 37.9462 | + | 33.3726i | 1.21525 | + | 1.06878i | ||||
\(976\) | −3.76872 | − | 2.17587i | −0.120634 | − | 0.0696479i | ||||
\(977\) | 5.34211 | − | 2.37846i | 0.170909 | − | 0.0760936i | −0.319499 | − | 0.947587i | \(-0.603515\pi\) |
0.490408 | + | 0.871493i | \(0.336848\pi\) | |||||||
\(978\) | −24.7380 | − | 29.0303i | −0.791033 | − | 0.928288i | ||||
\(979\) | 26.2205 | − | 8.51957i | 0.838012 | − | 0.272287i | ||||
\(980\) | −10.3978 | − | 52.5753i | −0.332146 | − | 1.67946i | ||||
\(981\) | −7.08427 | + | 10.8554i | −0.226183 | + | 0.346586i | ||||
\(982\) | −75.4897 | + | 43.5840i | −2.40897 | + | 1.39082i | ||||
\(983\) | 31.9868 | − | 28.8011i | 1.02022 | − | 0.918611i | 0.0235162 | − | 0.999723i | \(-0.492514\pi\) |
0.996705 | + | 0.0811122i | \(0.0258472\pi\) | |||||||
\(984\) | 1.83805 | − | 67.3055i | 0.0585948 | − | 2.14562i | ||||
\(985\) | 47.6359 | + | 9.15876i | 1.51781 | + | 0.291823i | ||||
\(986\) | −88.9348 | − | 64.6149i | −2.83226 | − | 2.05776i | ||||
\(987\) | 25.8397 | + | 18.4511i | 0.822486 | + | 0.587306i | ||||
\(988\) | 63.5954 | + | 87.5316i | 2.02324 | + | 2.78475i | ||||
\(989\) | 3.37890 | + | 0.355136i | 0.107443 | + | 0.0112927i | ||||
\(990\) | −25.0253 | + | 20.9900i | −0.795358 | + | 0.667105i | ||||
\(991\) | 1.81165 | + | 17.2367i | 0.0575491 | + | 0.547543i | 0.984872 | + | 0.173281i | \(0.0554370\pi\) |
−0.927323 | + | 0.374261i | \(0.877896\pi\) | |||||||
\(992\) | −1.02358 | − | 4.81555i | −0.0324986 | − | 0.152894i | ||||
\(993\) | 3.12702 | + | 0.415251i | 0.0992331 | + | 0.0131776i | ||||
\(994\) | −19.0684 | − | 24.3756i | −0.604812 | − | 0.773146i | ||||
\(995\) | −8.71620 | + | 5.26143i | −0.276322 | + | 0.166799i | ||||
\(996\) | 0.156045 | + | 0.183121i | 0.00494449 | + | 0.00580242i | ||||
\(997\) | −48.7767 | − | 10.3678i | −1.54477 | − | 0.328352i | −0.644819 | − | 0.764335i | \(-0.723067\pi\) |
−0.899955 | + | 0.435983i | \(0.856401\pi\) | |||||||
\(998\) | 80.4844 | − | 35.8340i | 2.54769 | − | 1.13430i | ||||
\(999\) | 9.36475 | − | 1.20083i | 0.296288 | − | 0.0379926i |
(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 | 525.2.bp.a.59.8 | ✓ | 608 | |
3.2 | odd | 2 | inner | 525.2.bp.a.59.69 | yes | 608 | |
7.5 | odd | 6 | inner | 525.2.bp.a.509.69 | yes | 608 | |
21.5 | even | 6 | inner | 525.2.bp.a.509.8 | yes | 608 | |
25.14 | even | 10 | inner | 525.2.bp.a.164.8 | yes | 608 | |
75.14 | odd | 10 | inner | 525.2.bp.a.164.69 | yes | 608 | |
175.89 | odd | 30 | inner | 525.2.bp.a.89.69 | yes | 608 | |
525.89 | even | 30 | inner | 525.2.bp.a.89.8 | yes | 608 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
525.2.bp.a.59.8 | ✓ | 608 | 1.1 | even | 1 | trivial | |
525.2.bp.a.59.69 | yes | 608 | 3.2 | odd | 2 | inner | |
525.2.bp.a.89.8 | yes | 608 | 525.89 | even | 30 | inner | |
525.2.bp.a.89.69 | yes | 608 | 175.89 | odd | 30 | inner | |
525.2.bp.a.164.8 | yes | 608 | 25.14 | even | 10 | inner | |
525.2.bp.a.164.69 | yes | 608 | 75.14 | odd | 10 | inner | |
525.2.bp.a.509.8 | yes | 608 | 21.5 | even | 6 | inner | |
525.2.bp.a.509.69 | yes | 608 | 7.5 | odd | 6 | inner |