Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [756,2,Mod(155,756)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(756, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 7, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("756.155");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 756 = 2^{2} \cdot 3^{3} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 756.cf (of order \(18\), degree \(6\), 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: | \(6.03669039281\) |
Analytic rank: | \(0\) |
Dimension: | \(648\) |
Relative dimension: | \(108\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 155.2 | ||
Character | \(\chi\) | \(=\) | 756.155 |
Dual form | 756.2.cf.a.239.2 |
$q$-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 \(\left(\mathbb{Z}/756\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(325\) | \(379\) |
\(\chi(n)\) | \(e\left(\frac{7}{18}\right)\) | \(1\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.41412 | − | 0.0164052i | −0.999933 | − | 0.0116002i | ||||
\(3\) | 0.147426 | + | 1.72577i | 0.0851167 | + | 0.996371i | ||||
\(4\) | 1.99946 | + | 0.0463977i | 0.999731 | + | 0.0231989i | ||||
\(5\) | −3.09496 | + | 0.545724i | −1.38411 | + | 0.244055i | −0.815597 | − | 0.578621i | \(-0.803591\pi\) |
−0.568510 | + | 0.822676i | \(0.692480\pi\) | |||||||
\(6\) | −0.180167 | − | 2.44285i | −0.0735528 | − | 0.997291i | ||||
\(7\) | 0.642788 | − | 0.766044i | 0.242951 | − | 0.289538i | ||||
\(8\) | −2.82671 | − | 0.0984134i | −0.999394 | − | 0.0347944i | ||||
\(9\) | −2.95653 | + | 0.508847i | −0.985510 | + | 0.169616i | ||||
\(10\) | 4.38559 | − | 0.720946i | 1.38684 | − | 0.227983i | ||||
\(11\) | 0.881478 | − | 4.99911i | 0.265776 | − | 1.50729i | −0.501042 | − | 0.865423i | \(-0.667050\pi\) |
0.766818 | − | 0.641865i | \(-0.221839\pi\) | |||||||
\(12\) | 0.214702 | + | 3.45744i | 0.0619791 | + | 0.998077i | ||||
\(13\) | −0.371483 | − | 0.135209i | −0.103031 | − | 0.0375001i | 0.289990 | − | 0.957030i | \(-0.406348\pi\) |
−0.393021 | + | 0.919529i | \(0.628570\pi\) | |||||||
\(14\) | −0.921545 | + | 1.07273i | −0.246293 | + | 0.286700i | ||||
\(15\) | −1.39807 | − | 5.26071i | −0.360980 | − | 1.35831i | ||||
\(16\) | 3.99569 | + | 0.185541i | 0.998924 | + | 0.0463852i | ||||
\(17\) | 3.65557 | − | 2.11055i | 0.886607 | − | 0.511883i | 0.0137757 | − | 0.999905i | \(-0.495615\pi\) |
0.872831 | + | 0.488022i | \(0.162282\pi\) | |||||||
\(18\) | 4.18923 | − | 0.671067i | 0.987412 | − | 0.158172i | ||||
\(19\) | 3.95341 | + | 2.28250i | 0.906974 | + | 0.523642i | 0.879456 | − | 0.475980i | \(-0.157906\pi\) |
0.0275175 | + | 0.999621i | \(0.491240\pi\) | |||||||
\(20\) | −6.21357 | + | 0.947556i | −1.38940 | + | 0.211880i | ||||
\(21\) | 1.41678 | + | 0.996365i | 0.309166 | + | 0.217425i | ||||
\(22\) | −1.32853 | + | 7.05487i | −0.283242 | + | 1.50410i | ||||
\(23\) | 1.71110 | − | 1.43578i | 0.356788 | − | 0.299381i | −0.446721 | − | 0.894673i | \(-0.647408\pi\) |
0.803509 | + | 0.595293i | \(0.202964\pi\) | |||||||
\(24\) | −0.246894 | − | 4.89275i | −0.0503970 | − | 0.998729i | ||||
\(25\) | 4.58248 | − | 1.66789i | 0.916496 | − | 0.333577i | ||||
\(26\) | 0.523102 | + | 0.197295i | 0.102589 | + | 0.0386928i | ||||
\(27\) | −1.31402 | − | 5.02726i | −0.252883 | − | 0.967497i | ||||
\(28\) | 1.32077 | − | 1.50185i | 0.249602 | − | 0.283823i | ||||
\(29\) | 0.798106 | + | 2.19278i | 0.148205 | + | 0.407189i | 0.991474 | − | 0.130302i | \(-0.0415946\pi\) |
−0.843270 | + | 0.537491i | \(0.819372\pi\) | |||||||
\(30\) | 1.89073 | + | 7.46221i | 0.345199 | + | 1.36241i | ||||
\(31\) | 6.38089 | + | 7.60445i | 1.14604 | + | 1.36580i | 0.920112 | + | 0.391655i | \(0.128097\pi\) |
0.225930 | + | 0.974144i | \(0.427458\pi\) | |||||||
\(32\) | −5.64734 | − | 0.327927i | −0.998318 | − | 0.0579698i | ||||
\(33\) | 8.75724 | + | 0.784223i | 1.52444 | + | 0.136516i | ||||
\(34\) | −5.20404 | + | 2.92459i | −0.892485 | + | 0.501563i | ||||
\(35\) | −1.57135 | + | 2.72166i | −0.265607 | + | 0.460044i | ||||
\(36\) | −5.93508 | + | 0.880243i | −0.989180 | + | 0.146707i | ||||
\(37\) | −2.81640 | − | 4.87815i | −0.463013 | − | 0.801962i | 0.536096 | − | 0.844157i | \(-0.319898\pi\) |
−0.999109 | + | 0.0421945i | \(0.986565\pi\) | |||||||
\(38\) | −5.55314 | − | 3.29258i | −0.900838 | − | 0.534127i | ||||
\(39\) | 0.178572 | − | 0.661025i | 0.0285944 | − | 0.105849i | ||||
\(40\) | 8.80227 | − | 1.23802i | 1.39176 | − | 0.195748i | ||||
\(41\) | −0.801612 | + | 2.20241i | −0.125191 | + | 0.343959i | −0.986416 | − | 0.164264i | \(-0.947475\pi\) |
0.861226 | + | 0.508223i | \(0.169697\pi\) | |||||||
\(42\) | −1.98714 | − | 1.43222i | −0.306623 | − | 0.220996i | ||||
\(43\) | −0.945108 | − | 0.166648i | −0.144128 | − | 0.0254136i | 0.101119 | − | 0.994874i | \(-0.467758\pi\) |
−0.245246 | + | 0.969461i | \(0.578869\pi\) | |||||||
\(44\) | 1.99443 | − | 9.95463i | 0.300671 | − | 1.50072i | ||||
\(45\) | 8.87265 | − | 3.18831i | 1.32266 | − | 0.475285i | ||||
\(46\) | −2.44325 | + | 2.00229i | −0.360237 | + | 0.295222i | ||||
\(47\) | 1.77248 | + | 1.48729i | 0.258543 | + | 0.216943i | 0.762841 | − | 0.646587i | \(-0.223804\pi\) |
−0.504298 | + | 0.863530i | \(0.668249\pi\) | |||||||
\(48\) | 0.268871 | + | 6.92298i | 0.0388082 | + | 0.999247i | ||||
\(49\) | −0.173648 | − | 0.984808i | −0.0248069 | − | 0.140687i | ||||
\(50\) | −6.50753 | + | 2.28341i | −0.920304 | + | 0.322923i | ||||
\(51\) | 4.18124 | + | 5.99751i | 0.585490 | + | 0.839819i | ||||
\(52\) | −0.736492 | − | 0.287580i | −0.102133 | − | 0.0398802i | ||||
\(53\) | 5.41162i | 0.743344i | 0.928364 | + | 0.371672i | \(0.121215\pi\) | ||||
−0.928364 | + | 0.371672i | \(0.878785\pi\) | |||||||
\(54\) | 1.77571 | + | 7.13070i | 0.241643 | + | 0.970365i | ||||
\(55\) | 15.9531i | 2.15111i | ||||||||
\(56\) | −1.89237 | + | 2.10213i | −0.252878 | + | 0.280909i | ||||
\(57\) | −3.35622 | + | 7.15915i | −0.444543 | + | 0.948253i | ||||
\(58\) | −1.09264 | − | 3.11394i | −0.143471 | − | 0.408881i | ||||
\(59\) | 0.521825 | + | 2.95942i | 0.0679359 | + | 0.385283i | 0.999750 | + | 0.0223482i | \(0.00711426\pi\) |
−0.931814 | + | 0.362935i | \(0.881775\pi\) | |||||||
\(60\) | −2.55130 | − | 10.5835i | −0.329372 | − | 1.36632i | ||||
\(61\) | −8.35826 | − | 7.01341i | −1.07016 | − | 0.897975i | −0.0750976 | − | 0.997176i | \(-0.523927\pi\) |
−0.995067 | + | 0.0992011i | \(0.968371\pi\) | |||||||
\(62\) | −8.89858 | − | 10.8583i | −1.13012 | − | 1.37900i | ||||
\(63\) | −1.51062 | + | 2.59191i | −0.190321 | + | 0.326551i | ||||
\(64\) | 7.98063 | + | 0.556373i | 0.997579 | + | 0.0695466i | ||||
\(65\) | 1.22351 | + | 0.215738i | 0.151758 | + | 0.0267590i | ||||
\(66\) | −12.3709 | − | 1.25265i | −1.52275 | − | 0.154190i | ||||
\(67\) | 5.23878 | − | 14.3934i | 0.640018 | − | 1.75844i | −0.0116498 | − | 0.999932i | \(-0.503708\pi\) |
0.651668 | − | 0.758504i | \(-0.274069\pi\) | |||||||
\(68\) | 7.40710 | − | 4.05035i | 0.898243 | − | 0.491177i | ||||
\(69\) | 2.73008 | + | 2.74128i | 0.328663 | + | 0.330011i | ||||
\(70\) | 2.26673 | − | 3.82297i | 0.270925 | − | 0.456932i | ||||
\(71\) | 6.57003 | + | 11.3796i | 0.779719 | + | 1.35051i | 0.932104 | + | 0.362191i | \(0.117971\pi\) |
−0.152385 | + | 0.988321i | \(0.548695\pi\) | |||||||
\(72\) | 8.40735 | − | 1.14740i | 0.990815 | − | 0.135223i | ||||
\(73\) | 0.741893 | − | 1.28500i | 0.0868320 | − | 0.150397i | −0.819338 | − | 0.573310i | \(-0.805659\pi\) |
0.906170 | + | 0.422913i | \(0.138992\pi\) | |||||||
\(74\) | 3.90270 | + | 6.94448i | 0.453679 | + | 0.807279i | ||||
\(75\) | 3.55396 | + | 7.66239i | 0.410376 | + | 0.884777i | ||||
\(76\) | 7.79878 | + | 4.74720i | 0.894582 | + | 0.544541i | ||||
\(77\) | −3.26294 | − | 3.88862i | −0.371846 | − | 0.443149i | ||||
\(78\) | −0.263366 | + | 0.931838i | −0.0298204 | + | 0.105510i | ||||
\(79\) | 0.0581453 | + | 0.159753i | 0.00654185 | + | 0.0179736i | 0.942921 | − | 0.333018i | \(-0.108067\pi\) |
−0.936379 | + | 0.350991i | \(0.885845\pi\) | |||||||
\(80\) | −12.4678 | + | 1.60631i | −1.39394 | + | 0.179591i | ||||
\(81\) | 8.48215 | − | 3.00884i | 0.942461 | − | 0.334316i | ||||
\(82\) | 1.16971 | − | 3.10132i | 0.129172 | − | 0.342483i | ||||
\(83\) | 10.4128 | − | 3.78994i | 1.14295 | − | 0.416000i | 0.299973 | − | 0.953948i | \(-0.403022\pi\) |
0.842978 | + | 0.537947i | \(0.180800\pi\) | |||||||
\(84\) | 2.78656 | + | 2.05793i | 0.304039 | + | 0.224539i | ||||
\(85\) | −10.1621 | + | 8.52698i | −1.10223 | + | 0.924881i | ||||
\(86\) | 1.33376 | + | 0.251165i | 0.143823 | + | 0.0270838i | ||||
\(87\) | −3.66656 | + | 1.70062i | −0.393097 | + | 0.182325i | ||||
\(88\) | −2.98366 | + | 14.0443i | −0.318060 | + | 1.49713i | ||||
\(89\) | 13.2487 | + | 7.64915i | 1.40436 | + | 0.810808i | 0.994836 | − | 0.101491i | \(-0.0323613\pi\) |
0.409524 | + | 0.912299i | \(0.365695\pi\) | |||||||
\(90\) | −12.5993 | + | 4.36309i | −1.32808 | + | 0.459910i | ||||
\(91\) | −0.342360 | + | 0.197662i | −0.0358891 | + | 0.0207206i | ||||
\(92\) | 3.48789 | − | 2.79140i | 0.363637 | − | 0.291023i | ||||
\(93\) | −12.1828 | + | 12.1330i | −1.26330 | + | 1.25813i | ||||
\(94\) | −2.48210 | − | 2.13228i | −0.256009 | − | 0.219928i | ||||
\(95\) | −13.4812 | − | 4.90677i | −1.38315 | − | 0.503424i | ||||
\(96\) | −0.266642 | − | 9.79433i | −0.0272141 | − | 0.999630i | ||||
\(97\) | 2.82765 | − | 16.0364i | 0.287104 | − | 1.62825i | −0.410566 | − | 0.911831i | \(-0.634669\pi\) |
0.697670 | − | 0.716419i | \(-0.254220\pi\) | |||||||
\(98\) | 0.229403 | + | 1.39548i | 0.0231732 | + | 0.140965i | ||||
\(99\) | −0.0623368 | + | 15.2286i | −0.00626509 | + | 1.53053i | ||||
\(100\) | 9.23988 | − | 3.12226i | 0.923988 | − | 0.312226i | ||||
\(101\) | 7.55873 | − | 9.00814i | 0.752121 | − | 0.896343i | −0.245201 | − | 0.969472i | \(-0.578854\pi\) |
0.997322 | + | 0.0731289i | \(0.0232985\pi\) | |||||||
\(102\) | −5.81437 | − | 8.54978i | −0.575709 | − | 0.846555i | ||||
\(103\) | 14.9084 | − | 2.62876i | 1.46897 | − | 0.259019i | 0.618809 | − | 0.785542i | \(-0.287616\pi\) |
0.850161 | + | 0.526523i | \(0.176505\pi\) | |||||||
\(104\) | 1.03677 | + | 0.418755i | 0.101664 | + | 0.0410623i | ||||
\(105\) | −4.92860 | − | 2.31054i | −0.480982 | − | 0.225485i | ||||
\(106\) | 0.0887786 | − | 7.65268i | 0.00862294 | − | 0.743294i | ||||
\(107\) | 0.146669 | 0.0141790 | 0.00708952 | − | 0.999975i | \(-0.497743\pi\) | ||||
0.00708952 | + | 0.999975i | \(0.497743\pi\) | |||||||
\(108\) | −2.39408 | − | 10.1128i | −0.230370 | − | 0.973103i | ||||
\(109\) | 14.3441 | 1.37391 | 0.686956 | − | 0.726699i | \(-0.258947\pi\) | ||||
0.686956 | + | 0.726699i | \(0.258947\pi\) | |||||||
\(110\) | 0.261713 | − | 22.5595i | 0.0249533 | − | 2.15097i | ||||
\(111\) | 8.00332 | − | 5.57961i | 0.759642 | − | 0.529593i | ||||
\(112\) | 2.71052 | − | 2.94162i | 0.256120 | − | 0.277957i | ||||
\(113\) | −1.17779 | + | 0.207677i | −0.110798 | + | 0.0195366i | −0.228772 | − | 0.973480i | \(-0.573471\pi\) |
0.117974 | + | 0.993017i | \(0.462360\pi\) | |||||||
\(114\) | 4.86354 | − | 10.0688i | 0.455513 | − | 0.943032i | ||||
\(115\) | −4.51223 | + | 5.37746i | −0.420767 | + | 0.501451i | ||||
\(116\) | 1.49404 | + | 4.42141i | 0.138718 | + | 0.410518i | ||||
\(117\) | 1.16710 | + | 0.210721i | 0.107898 | + | 0.0194811i | ||||
\(118\) | −0.689373 | − | 4.19353i | −0.0634619 | − | 0.386046i | ||||
\(119\) | 0.732985 | − | 4.15696i | 0.0671926 | − | 0.381068i | ||||
\(120\) | 3.43422 | + | 15.0081i | 0.313500 | + | 1.37005i | ||||
\(121\) | −13.8775 | − | 5.05098i | −1.26159 | − | 0.459180i | ||||
\(122\) | 11.7045 | + | 10.0549i | 1.05968 | + | 0.910329i | ||||
\(123\) | −3.91902 | − | 1.05870i | −0.353366 | − | 0.0954598i | ||||
\(124\) | 12.4055 | + | 15.5009i | 1.11405 | + | 1.39202i | ||||
\(125\) | 0.335928 | − | 0.193948i | 0.0300463 | − | 0.0173473i | ||||
\(126\) | 2.17872 | − | 3.64049i | 0.194096 | − | 0.324321i | ||||
\(127\) | −10.2761 | − | 5.93289i | −0.911854 | − | 0.526459i | −0.0308267 | − | 0.999525i | \(-0.509814\pi\) |
−0.881027 | + | 0.473066i | \(0.843147\pi\) | |||||||
\(128\) | −11.2764 | − | 0.917701i | −0.996705 | − | 0.0811141i | ||||
\(129\) | 0.148262 | − | 1.65560i | 0.0130537 | − | 0.145768i | ||||
\(130\) | −1.72665 | − | 0.325151i | −0.151437 | − | 0.0285176i | ||||
\(131\) | 9.63366 | − | 8.08360i | 0.841697 | − | 0.706267i | −0.116248 | − | 0.993220i | \(-0.537087\pi\) |
0.957945 | + | 0.286953i | \(0.0926423\pi\) | |||||||
\(132\) | 17.4734 | + | 1.97434i | 1.52086 | + | 0.171844i | ||||
\(133\) | 4.28970 | − | 1.56132i | 0.371964 | − | 0.135384i | ||||
\(134\) | −7.64438 | + | 20.2681i | −0.660374 | + | 1.75089i | ||||
\(135\) | 6.81033 | + | 14.8421i | 0.586140 | + | 1.27740i | ||||
\(136\) | −10.5410 | + | 5.60615i | −0.903881 | + | 0.480724i | ||||
\(137\) | −0.0834772 | − | 0.229352i | −0.00713194 | − | 0.0195948i | 0.936076 | − | 0.351799i | \(-0.114430\pi\) |
−0.943208 | + | 0.332204i | \(0.892208\pi\) | |||||||
\(138\) | −3.81568 | − | 3.92128i | −0.324813 | − | 0.333801i | ||||
\(139\) | −2.99326 | − | 3.56723i | −0.253885 | − | 0.302569i | 0.624015 | − | 0.781412i | \(-0.285500\pi\) |
−0.877900 | + | 0.478844i | \(0.841056\pi\) | |||||||
\(140\) | −3.26813 | + | 5.36895i | −0.276208 | + | 0.453759i | ||||
\(141\) | −2.30540 | + | 3.27815i | −0.194150 | + | 0.276070i | ||||
\(142\) | −9.10411 | − | 16.1999i | −0.764000 | − | 1.35947i | ||||
\(143\) | −1.00338 | + | 1.73790i | −0.0839066 | + | 0.145330i | ||||
\(144\) | −11.9078 | + | 1.48464i | −0.992317 | + | 0.123720i | ||||
\(145\) | −3.66676 | − | 6.35101i | −0.304508 | − | 0.527423i | ||||
\(146\) | −1.07020 | + | 1.80497i | −0.0885708 | + | 0.149380i | ||||
\(147\) | 1.67395 | − | 0.444863i | 0.138065 | − | 0.0366916i | ||||
\(148\) | −5.40495 | − | 9.88434i | −0.444284 | − | 0.812488i | ||||
\(149\) | 2.20287 | − | 6.05235i | 0.180467 | − | 0.495828i | −0.816167 | − | 0.577816i | \(-0.803905\pi\) |
0.996633 | + | 0.0819888i | \(0.0261272\pi\) | |||||||
\(150\) | −4.90001 | − | 10.8938i | −0.400084 | − | 0.889478i | ||||
\(151\) | 18.2616 | + | 3.22001i | 1.48611 | + | 0.262041i | 0.857016 | − | 0.515290i | \(-0.172316\pi\) |
0.629092 | + | 0.777331i | \(0.283427\pi\) | |||||||
\(152\) | −10.9505 | − | 6.84105i | −0.888205 | − | 0.554882i | ||||
\(153\) | −9.73387 | + | 8.10002i | −0.786937 | + | 0.654848i | ||||
\(154\) | 4.55038 | + | 5.55249i | 0.366680 | + | 0.447433i | ||||
\(155\) | −23.8985 | − | 20.0532i | −1.91957 | − | 1.61071i | ||||
\(156\) | 0.387718 | − | 1.31341i | 0.0310423 | − | 0.105157i | ||||
\(157\) | 1.11503 | + | 6.32364i | 0.0889890 | + | 0.504682i | 0.996424 | + | 0.0844899i | \(0.0269261\pi\) |
−0.907435 | + | 0.420192i | \(0.861963\pi\) | |||||||
\(158\) | −0.0796035 | − | 0.226863i | −0.00633292 | − | 0.0180483i | ||||
\(159\) | −9.33919 | + | 0.797816i | −0.740646 | + | 0.0632709i | ||||
\(160\) | 17.6572 | − | 2.06697i | 1.39593 | − | 0.163409i | ||||
\(161\) | − | 2.23368i | − | 0.176038i | ||||||
\(162\) | −12.0441 | + | 4.11571i | −0.946276 | + | 0.323360i | ||||
\(163\) | 21.6027i | 1.69205i | 0.533140 | + | 0.846027i | \(0.321012\pi\) | ||||
−0.533140 | + | 0.846027i | \(0.678988\pi\) | |||||||
\(164\) | −1.70498 | + | 4.36644i | −0.133137 | + | 0.340962i | ||||
\(165\) | −27.5312 | + | 2.35190i | −2.14330 | + | 0.183095i | ||||
\(166\) | −14.7871 | + | 5.18860i | −1.14770 | + | 0.402714i | ||||
\(167\) | 0.960537 | + | 5.44748i | 0.0743286 | + | 0.421538i | 0.999153 | + | 0.0411446i | \(0.0131004\pi\) |
−0.924825 | + | 0.380394i | \(0.875788\pi\) | |||||||
\(168\) | −3.90677 | − | 2.95587i | −0.301414 | − | 0.228050i | ||||
\(169\) | −9.83886 | − | 8.25578i | −0.756835 | − | 0.635060i | ||||
\(170\) | 14.5102 | − | 11.8915i | 1.11289 | − | 0.912033i | ||||
\(171\) | −12.8498 | − | 4.73661i | −0.982650 | − | 0.362217i | ||||
\(172\) | −1.88198 | − | 0.377057i | −0.143499 | − | 0.0287504i | ||||
\(173\) | −21.5614 | − | 3.80186i | −1.63928 | − | 0.289050i | −0.723380 | − | 0.690450i | \(-0.757412\pi\) |
−0.915903 | + | 0.401400i | \(0.868524\pi\) | |||||||
\(174\) | 5.21285 | − | 2.34472i | 0.395185 | − | 0.177753i | ||||
\(175\) | 1.66789 | − | 4.58248i | 0.126080 | − | 0.346403i | ||||
\(176\) | 4.44965 | − | 19.8114i | 0.335405 | − | 1.49334i | ||||
\(177\) | −5.03033 | + | 1.33684i | −0.378103 | + | 0.100483i | ||||
\(178\) | −18.6098 | − | 11.0341i | −1.39486 | − | 0.827044i | ||||
\(179\) | −3.25380 | − | 5.63574i | −0.243200 | − | 0.421235i | 0.718424 | − | 0.695606i | \(-0.244864\pi\) |
−0.961624 | + | 0.274370i | \(0.911531\pi\) | |||||||
\(180\) | 17.8884 | − | 5.96323i | 1.33333 | − | 0.444473i | ||||
\(181\) | −6.07868 | + | 10.5286i | −0.451825 | + | 0.782584i | −0.998499 | − | 0.0547614i | \(-0.982560\pi\) |
0.546675 | + | 0.837345i | \(0.315894\pi\) | |||||||
\(182\) | 0.487381 | − | 0.273901i | 0.0361271 | − | 0.0203029i | ||||
\(183\) | 10.8713 | − | 15.4583i | 0.803627 | − | 1.14271i | ||||
\(184\) | −4.97808 | + | 3.89014i | −0.366989 | + | 0.286785i | ||||
\(185\) | 11.3788 | + | 13.5607i | 0.836583 | + | 0.997001i | ||||
\(186\) | 17.4269 | − | 16.9577i | 1.27781 | − | 1.24340i | ||||
\(187\) | −7.32854 | − | 20.1350i | −0.535916 | − | 1.47242i | ||||
\(188\) | 3.47500 | + | 3.05602i | 0.253441 | + | 0.222883i | ||||
\(189\) | −4.69574 | − | 2.22486i | −0.341565 | − | 0.161835i | ||||
\(190\) | 18.9836 | + | 7.15992i | 1.37721 | + | 0.519435i | ||||
\(191\) | −12.2246 | + | 4.44938i | −0.884538 | + | 0.321946i | −0.744040 | − | 0.668135i | \(-0.767093\pi\) |
−0.140499 | + | 0.990081i | \(0.544871\pi\) | |||||||
\(192\) | 0.216386 | + | 13.8547i | 0.0156163 | + | 0.999878i | ||||
\(193\) | 15.4310 | − | 12.9481i | 1.11075 | − | 0.932027i | 0.112646 | − | 0.993635i | \(-0.464067\pi\) |
0.998100 | + | 0.0616079i | \(0.0196228\pi\) | |||||||
\(194\) | −4.26171 | + | 22.6310i | −0.305973 | + | 1.62481i | ||||
\(195\) | −0.191935 | + | 2.14330i | −0.0137448 | + | 0.153485i | ||||
\(196\) | −0.301510 | − | 1.97714i | −0.0215364 | − | 0.141224i | ||||
\(197\) | −11.5455 | − | 6.66581i | −0.822585 | − | 0.474919i | 0.0287223 | − | 0.999587i | \(-0.490856\pi\) |
−0.851307 | + | 0.524668i | \(0.824189\pi\) | |||||||
\(198\) | 0.337979 | − | 21.5340i | 0.0240191 | − | 1.53035i | ||||
\(199\) | −19.3510 | + | 11.1723i | −1.37175 | + | 0.791982i | −0.991149 | − | 0.132756i | \(-0.957617\pi\) |
−0.380605 | + | 0.924738i | \(0.624284\pi\) | |||||||
\(200\) | −13.1175 | + | 4.26366i | −0.927547 | + | 0.301486i | ||||
\(201\) | 25.6120 | + | 6.91893i | 1.80653 | + | 0.488024i | ||||
\(202\) | −10.8367 | + | 12.6146i | −0.762468 | + | 0.887558i | ||||
\(203\) | 2.19278 | + | 0.798106i | 0.153903 | + | 0.0560161i | ||||
\(204\) | 8.08195 | + | 12.1858i | 0.565850 | + | 0.853176i | ||||
\(205\) | 1.27905 | − | 7.25383i | 0.0893324 | − | 0.506629i | ||||
\(206\) | −21.1254 | + | 3.47280i | −1.47188 | + | 0.241961i | ||||
\(207\) | −4.32832 | + | 5.11561i | −0.300839 | + | 0.355560i | ||||
\(208\) | −1.45924 | − | 0.609178i | −0.101180 | − | 0.0422389i | ||||
\(209\) | 14.8953 | − | 17.7515i | 1.03033 | − | 1.22790i | ||||
\(210\) | 6.93172 | + | 3.34823i | 0.478334 | + | 0.231050i | ||||
\(211\) | −27.3386 | + | 4.82053i | −1.88206 | + | 0.331859i | −0.992229 | − | 0.124423i | \(-0.960292\pi\) |
−0.889835 | + | 0.456282i | \(0.849181\pi\) | |||||||
\(212\) | −0.251087 | + | 10.8203i | −0.0172447 | + | 0.743144i | ||||
\(213\) | −18.6700 | + | 13.0160i | −1.27924 | + | 0.891840i | ||||
\(214\) | −0.207407 | − | 0.00240613i | −0.0141781 | − | 0.000164480i | ||||
\(215\) | 3.01601 | 0.205690 | ||||||||
\(216\) | 3.21961 | + | 14.3399i | 0.219067 | + | 0.975710i | ||||
\(217\) | 9.92690 | 0.673882 | ||||||||
\(218\) | −20.2842 | − | 0.235317i | −1.37382 | − | 0.0159377i | ||||
\(219\) | 2.32698 | + | 1.09089i | 0.157242 | + | 0.0737155i | ||||
\(220\) | −0.740186 | + | 31.8975i | −0.0499033 | + | 2.15053i | ||||
\(221\) | −1.64335 | + | 0.289766i | −0.110543 | + | 0.0194918i | ||||
\(222\) | −11.4092 | + | 7.75893i | −0.765734 | + | 0.520746i | ||||
\(223\) | −6.17475 | + | 7.35878i | −0.413492 | + | 0.492780i | −0.932084 | − | 0.362241i | \(-0.882012\pi\) |
0.518593 | + | 0.855021i | \(0.326456\pi\) | |||||||
\(224\) | −3.88125 | + | 4.11533i | −0.259327 | + | 0.274967i | ||||
\(225\) | −12.6995 | + | 7.26294i | −0.846636 | + | 0.484196i | ||||
\(226\) | 1.66895 | − | 0.274358i | 0.111017 | − | 0.0182500i | ||||
\(227\) | 1.23474 | − | 7.00256i | 0.0819526 | − | 0.464776i | −0.916020 | − | 0.401132i | \(-0.868617\pi\) |
0.997973 | − | 0.0636438i | \(-0.0202722\pi\) | |||||||
\(228\) | −7.04281 | + | 14.1587i | −0.466421 | + | 0.937685i | ||||
\(229\) | 5.12543 | + | 1.86550i | 0.338698 | + | 0.123276i | 0.505769 | − | 0.862669i | \(-0.331209\pi\) |
−0.167071 | + | 0.985945i | \(0.553431\pi\) | |||||||
\(230\) | 6.46904 | − | 7.53035i | 0.426556 | − | 0.496536i | ||||
\(231\) | 6.22980 | − | 6.20435i | 0.409890 | − | 0.408216i | ||||
\(232\) | −2.04022 | − | 6.27691i | −0.133947 | − | 0.412099i | ||||
\(233\) | 9.85508 | − | 5.68983i | 0.645628 | − | 0.372753i | −0.141151 | − | 0.989988i | \(-0.545080\pi\) |
0.786779 | + | 0.617235i | \(0.211747\pi\) | |||||||
\(234\) | −1.64696 | − | 0.317131i | −0.107665 | − | 0.0207315i | ||||
\(235\) | −6.29740 | − | 3.63581i | −0.410797 | − | 0.237174i | ||||
\(236\) | 0.906060 | + | 5.94146i | 0.0589795 | + | 0.386756i | ||||
\(237\) | −0.267124 | + | 0.123897i | −0.0173515 | + | 0.00804797i | ||||
\(238\) | −1.10472 | + | 5.86642i | −0.0716086 | + | 0.380263i | ||||
\(239\) | 13.2755 | − | 11.1395i | 0.858723 | − | 0.720555i | −0.102969 | − | 0.994685i | \(-0.532834\pi\) |
0.961693 | + | 0.274130i | \(0.0883899\pi\) | |||||||
\(240\) | −4.61018 | − | 21.2796i | −0.297586 | − | 1.37359i | ||||
\(241\) | 20.0737 | − | 7.30624i | 1.29306 | − | 0.470636i | 0.398331 | − | 0.917242i | \(-0.369589\pi\) |
0.894731 | + | 0.446605i | \(0.147367\pi\) | |||||||
\(242\) | 19.5415 | + | 7.37035i | 1.25618 | + | 0.473784i | ||||
\(243\) | 6.44305 | + | 14.1946i | 0.413322 | + | 0.910585i | ||||
\(244\) | −16.3866 | − | 14.4108i | −1.04904 | − | 0.922560i | ||||
\(245\) | 1.07487 | + | 2.95317i | 0.0686707 | + | 0.188671i | ||||
\(246\) | 5.52459 | + | 1.56142i | 0.352235 | + | 0.0995525i | ||||
\(247\) | −1.16001 | − | 1.38244i | −0.0738096 | − | 0.0879628i | ||||
\(248\) | −17.2886 | − | 22.1236i | −1.09783 | − | 1.40485i | ||||
\(249\) | 8.07567 | + | 17.4113i | 0.511775 | + | 1.10340i | ||||
\(250\) | −0.478224 | + | 0.268755i | −0.0302455 | + | 0.0169975i | ||||
\(251\) | 7.41945 | − | 12.8509i | 0.468312 | − | 0.811139i | −0.531033 | − | 0.847351i | \(-0.678196\pi\) |
0.999344 | + | 0.0362120i | \(0.0115292\pi\) | |||||||
\(252\) | −3.14069 | + | 5.11234i | −0.197845 | + | 0.322047i | ||||
\(253\) | −5.66933 | − | 9.81956i | −0.356427 | − | 0.617351i | ||||
\(254\) | 14.4343 | + | 8.55839i | 0.905685 | + | 0.537001i | ||||
\(255\) | −16.2137 | − | 16.2802i | −1.01534 | − | 1.01951i | ||||
\(256\) | 15.9311 | + | 1.48273i | 0.995697 | + | 0.0926706i | ||||
\(257\) | 1.48081 | − | 4.06848i | 0.0923701 | − | 0.253785i | −0.884901 | − | 0.465780i | \(-0.845774\pi\) |
0.977271 | + | 0.211995i | \(0.0679961\pi\) | |||||||
\(258\) | −0.236820 | + | 2.33879i | −0.0147438 | + | 0.145607i | ||||
\(259\) | −5.54722 | − | 0.978125i | −0.344688 | − | 0.0607777i | ||||
\(260\) | 2.43635 | + | 0.488127i | 0.151096 | + | 0.0302724i | ||||
\(261\) | −3.47541 | − | 6.07691i | −0.215123 | − | 0.376151i | ||||
\(262\) | −13.7557 | + | 11.2731i | −0.849833 | + | 0.696456i | ||||
\(263\) | −7.14963 | − | 5.99926i | −0.440865 | − | 0.369930i | 0.395168 | − | 0.918609i | \(-0.370686\pi\) |
−0.836033 | + | 0.548679i | \(0.815131\pi\) | |||||||
\(264\) | −24.6770 | − | 3.07860i | −1.51877 | − | 0.189475i | ||||
\(265\) | −2.95326 | − | 16.7487i | −0.181417 | − | 1.02887i | ||||
\(266\) | −6.09175 | + | 2.13752i | −0.373509 | + | 0.131060i | ||||
\(267\) | −11.2474 | + | 23.9919i | −0.688331 | + | 1.46828i | ||||
\(268\) | 11.1426 | − | 28.5360i | 0.680640 | − | 1.74312i | ||||
\(269\) | 16.1098i | 0.982235i | 0.871093 | + | 0.491117i | \(0.163411\pi\) | ||||
−0.871093 | + | 0.491117i | \(0.836589\pi\) | |||||||
\(270\) | −9.38713 | − | 21.1002i | −0.571283 | − | 1.28411i | ||||
\(271\) | 16.0309i | 0.973807i | 0.873456 | + | 0.486904i | \(0.161874\pi\) | ||||
−0.873456 | + | 0.486904i | \(0.838126\pi\) | |||||||
\(272\) | 14.9981 | − | 7.75484i | 0.909396 | − | 0.470206i | ||||
\(273\) | −0.391591 | − | 0.561693i | −0.0237002 | − | 0.0339952i | ||||
\(274\) | 0.114284 | + | 0.325700i | 0.00690415 | + | 0.0196762i | ||||
\(275\) | −4.29859 | − | 24.3785i | −0.259215 | − | 1.47008i | ||||
\(276\) | 5.33150 | + | 5.60775i | 0.320919 | + | 0.337547i | ||||
\(277\) | −11.9080 | − | 9.99199i | −0.715481 | − | 0.600360i | 0.210650 | − | 0.977562i | \(-0.432442\pi\) |
−0.926131 | + | 0.377201i | \(0.876886\pi\) | |||||||
\(278\) | 4.17431 | + | 5.09359i | 0.250358 | + | 0.305493i | ||||
\(279\) | −22.7348 | − | 19.2359i | −1.36110 | − | 1.15162i | ||||
\(280\) | 4.70961 | − | 7.53871i | 0.281453 | − | 0.450524i | ||||
\(281\) | −7.73152 | − | 1.36328i | −0.461224 | − | 0.0813262i | −0.0617920 | − | 0.998089i | \(-0.519682\pi\) |
−0.399432 | + | 0.916763i | \(0.630793\pi\) | |||||||
\(282\) | 3.31389 | − | 4.59788i | 0.197339 | − | 0.273800i | ||||
\(283\) | 1.00485 | − | 2.76079i | 0.0597318 | − | 0.164112i | −0.906237 | − | 0.422770i | \(-0.861058\pi\) |
0.965969 | + | 0.258658i | \(0.0832802\pi\) | |||||||
\(284\) | 12.6085 | + | 23.0579i | 0.748178 | + | 1.36824i | ||||
\(285\) | 6.48044 | − | 23.9888i | 0.383868 | − | 1.42098i | ||||
\(286\) | 1.44740 | − | 2.44113i | 0.0855868 | − | 0.144347i | ||||
\(287\) | 1.17188 | + | 2.02975i | 0.0691738 | + | 0.119813i | ||||
\(288\) | 16.8634 | − | 1.90410i | 0.993686 | − | 0.112200i | ||||
\(289\) | 0.408810 | − | 0.708080i | 0.0240477 | − | 0.0416518i | ||||
\(290\) | 5.08104 | + | 9.04124i | 0.298369 | + | 0.530920i | ||||
\(291\) | 28.0919 | + | 2.51567i | 1.64678 | + | 0.147471i | ||||
\(292\) | 1.54301 | − | 2.53488i | 0.0902976 | − | 0.148342i | ||||
\(293\) | 0.453631 | + | 0.540617i | 0.0265014 | + | 0.0315832i | 0.779132 | − | 0.626859i | \(-0.215660\pi\) |
−0.752631 | + | 0.658443i | \(0.771216\pi\) | |||||||
\(294\) | −2.37446 | + | 0.601627i | −0.138481 | + | 0.0350876i | ||||
\(295\) | −3.23005 | − | 8.87450i | −0.188061 | − | 0.516693i | ||||
\(296\) | 7.48108 | + | 14.0663i | 0.434829 | + | 0.817587i | ||||
\(297\) | −26.2901 | + | 2.13751i | −1.52551 | + | 0.124031i | ||||
\(298\) | −3.21442 | + | 8.52260i | −0.186206 | + | 0.493701i | ||||
\(299\) | −0.829772 | + | 0.302012i | −0.0479870 | + | 0.0174658i | ||||
\(300\) | 6.75049 | + | 15.4856i | 0.389739 | + | 0.894059i | ||||
\(301\) | −0.735164 | + | 0.616876i | −0.0423741 | + | 0.0355561i | ||||
\(302\) | −25.7712 | − | 4.85306i | −1.48297 | − | 0.279262i | ||||
\(303\) | 16.6603 | + | 11.7165i | 0.957108 | + | 0.673098i | ||||
\(304\) | 15.3731 | + | 9.85369i | 0.881708 | + | 0.565148i | ||||
\(305\) | 29.6958 | + | 17.1449i | 1.70038 | + | 0.981714i | ||||
\(306\) | 13.8977 | − | 11.2947i | 0.794480 | − | 0.645675i | ||||
\(307\) | −1.52068 | + | 0.877965i | −0.0867898 | + | 0.0501081i | −0.542767 | − | 0.839883i | \(-0.682623\pi\) |
0.455977 | + | 0.889992i | \(0.349290\pi\) | |||||||
\(308\) | −6.34369 | − | 7.92653i | −0.361465 | − | 0.451656i | ||||
\(309\) | 6.73451 | + | 25.3409i | 0.383113 | + | 1.44159i | ||||
\(310\) | 33.4663 | + | 28.7497i | 1.90076 | + | 1.63287i | ||||
\(311\) | 19.2288 | + | 6.99871i | 1.09036 | + | 0.396860i | 0.823756 | − | 0.566944i | \(-0.191875\pi\) |
0.266609 | + | 0.963805i | \(0.414097\pi\) | |||||||
\(312\) | −0.569826 | + | 1.85096i | −0.0322600 | + | 0.104790i | ||||
\(313\) | −0.0782110 | + | 0.443557i | −0.00442075 | + | 0.0250713i | −0.986938 | − | 0.161098i | \(-0.948496\pi\) |
0.982518 | + | 0.186170i | \(0.0596074\pi\) | |||||||
\(314\) | −1.47304 | − | 8.96067i | −0.0831286 | − | 0.505680i | ||||
\(315\) | 3.26084 | − | 8.84625i | 0.183728 | − | 0.498430i | ||||
\(316\) | 0.108847 | + | 0.322117i | 0.00612313 | + | 0.0181205i | ||||
\(317\) | −13.1686 | + | 15.6937i | −0.739622 | + | 0.881448i | −0.996379 | − | 0.0850285i | \(-0.972902\pi\) |
0.256756 | + | 0.966476i | \(0.417346\pi\) | |||||||
\(318\) | 13.2198 | − | 0.974996i | 0.741330 | − | 0.0546750i | ||||
\(319\) | 11.6655 | − | 2.05693i | 0.653140 | − | 0.115166i | ||||
\(320\) | −25.0033 | + | 2.63327i | −1.39773 | + | 0.147204i | ||||
\(321\) | 0.0216229 | + | 0.253116i | 0.00120687 | + | 0.0141276i | ||||
\(322\) | −0.0366438 | + | 3.15868i | −0.00204208 | + | 0.176027i | ||||
\(323\) | 19.2693 | 1.07217 | ||||||||
\(324\) | 17.0993 | − | 5.62251i | 0.949963 | − | 0.312362i | ||||
\(325\) | −1.92782 | −0.106936 | ||||||||
\(326\) | 0.354396 | − | 30.5488i | 0.0196282 | − | 1.69194i | ||||
\(327\) | 2.11469 | + | 24.7545i | 0.116943 | + | 1.36893i | ||||
\(328\) | 2.48268 | − | 6.14670i | 0.137083 | − | 0.339395i | ||||
\(329\) | 2.27866 | − | 0.401789i | 0.125627 | − | 0.0221513i | ||||
\(330\) | 38.9710 | − | 2.87421i | 2.14528 | − | 0.158220i | ||||
\(331\) | 20.4269 | − | 24.3438i | 1.12276 | − | 1.33806i | 0.188255 | − | 0.982120i | \(-0.439717\pi\) |
0.934509 | − | 0.355938i | \(-0.115839\pi\) | |||||||
\(332\) | 20.9958 | − | 7.09472i | 1.15229 | − | 0.389373i | ||||
\(333\) | 10.8090 | + | 12.9893i | 0.592330 | + | 0.711808i | ||||
\(334\) | −1.26895 | − | 7.71913i | −0.0694337 | − | 0.422372i | ||||
\(335\) | −8.35895 | + | 47.4059i | −0.456698 | + | 2.59006i | ||||
\(336\) | 5.47614 | + | 4.24404i | 0.298748 | + | 0.231531i | ||||
\(337\) | 24.4353 | + | 8.89373i | 1.33108 | + | 0.484472i | 0.906991 | − | 0.421150i | \(-0.138373\pi\) |
0.424086 | + | 0.905622i | \(0.360595\pi\) | |||||||
\(338\) | 13.7779 | + | 11.8361i | 0.749418 | + | 0.643797i | ||||
\(339\) | −0.532039 | − | 2.00198i | −0.0288964 | − | 0.108733i | ||||
\(340\) | −20.7143 | + | 16.5779i | −1.12339 | + | 0.899062i | ||||
\(341\) | 43.6401 | − | 25.1956i | 2.36324 | − | 1.36442i | ||||
\(342\) | 18.0935 | + | 6.90892i | 0.978382 | + | 0.373592i | ||||
\(343\) | −0.866025 | − | 0.500000i | −0.0467610 | − | 0.0269975i | ||||
\(344\) | 2.65515 | + | 0.564078i | 0.143156 | + | 0.0304130i | ||||
\(345\) | −9.94546 | − | 6.99426i | −0.535446 | − | 0.376559i | ||||
\(346\) | 30.4280 | + | 5.72999i | 1.63582 | + | 0.308046i | ||||
\(347\) | −19.7461 | + | 16.5689i | −1.06002 | + | 0.889465i | −0.994112 | − | 0.108360i | \(-0.965440\pi\) |
−0.0659118 | + | 0.997825i | \(0.520996\pi\) | |||||||
\(348\) | −7.41005 | + | 3.23020i | −0.397220 | + | 0.173157i | ||||
\(349\) | −3.12298 | + | 1.13667i | −0.167169 | + | 0.0608446i | −0.424249 | − | 0.905546i | \(-0.639462\pi\) |
0.257080 | + | 0.966390i | \(0.417240\pi\) | |||||||
\(350\) | −2.43376 | + | 6.45281i | −0.130090 | + | 0.344917i | ||||
\(351\) | −0.191593 | + | 2.04521i | −0.0102265 | + | 0.109165i | ||||
\(352\) | −6.61735 | + | 27.9426i | −0.352706 | + | 1.48935i | ||||
\(353\) | 8.18952 | + | 22.5005i | 0.435884 | + | 1.19758i | 0.942146 | + | 0.335203i | \(0.108805\pi\) |
−0.506262 | + | 0.862380i | \(0.668973\pi\) | |||||||
\(354\) | 7.13541 | − | 1.80793i | 0.379243 | − | 0.0960905i | ||||
\(355\) | −26.5441 | − | 31.6340i | −1.40881 | − | 1.67896i | ||||
\(356\) | 26.1354 | + | 15.9089i | 1.38517 | + | 0.843169i | ||||
\(357\) | 7.28201 | + | 0.652114i | 0.385405 | + | 0.0345135i | ||||
\(358\) | 4.50880 | + | 8.02299i | 0.238298 | + | 0.424028i | ||||
\(359\) | 4.53726 | − | 7.85877i | 0.239468 | − | 0.414770i | −0.721094 | − | 0.692837i | \(-0.756360\pi\) |
0.960562 | + | 0.278067i | \(0.0896938\pi\) | |||||||
\(360\) | −25.3942 | + | 8.13925i | −1.33839 | + | 0.428976i | ||||
\(361\) | 0.919616 | + | 1.59282i | 0.0484009 | + | 0.0838328i | ||||
\(362\) | 8.76870 | − | 14.7889i | 0.460873 | − | 0.777290i | ||||
\(363\) | 6.67091 | − | 24.6939i | 0.350132 | − | 1.29609i | ||||
\(364\) | −0.693707 | + | 0.379333i | −0.0363601 | + | 0.0198824i | ||||
\(365\) | −1.59487 | + | 4.38187i | −0.0834794 | + | 0.229358i | ||||
\(366\) | −15.6269 | + | 21.6816i | −0.816829 | + | 1.13331i | ||||
\(367\) | 7.46588 | + | 1.31644i | 0.389716 | + | 0.0687174i | 0.365073 | − | 0.930979i | \(-0.381044\pi\) |
0.0246429 | + | 0.999696i | \(0.492155\pi\) | |||||||
\(368\) | 7.10341 | − | 5.41946i | 0.370291 | − | 0.282509i | ||||
\(369\) | 1.24930 | − | 6.91939i | 0.0650360 | − | 0.360209i | ||||
\(370\) | −15.8684 | − | 19.3631i | −0.824961 | − | 1.00664i | ||||
\(371\) | 4.14555 | + | 3.47853i | 0.215226 | + | 0.180596i | ||||
\(372\) | −24.9219 | + | 23.6942i | −1.29214 | + | 1.22849i | ||||
\(373\) | 2.62876 | + | 14.9084i | 0.136112 | + | 0.771929i | 0.974079 | + | 0.226208i | \(0.0726331\pi\) |
−0.837967 | + | 0.545721i | \(0.816256\pi\) | |||||||
\(374\) | 10.0331 | + | 28.5935i | 0.518800 | + | 1.47854i | ||||
\(375\) | 0.384234 | + | 0.551140i | 0.0198417 | + | 0.0284607i | ||||
\(376\) | −4.86393 | − | 4.37858i | −0.250838 | − | 0.225808i | ||||
\(377\) | − | 0.922491i | − | 0.0475107i | ||||||
\(378\) | 6.60383 | + | 3.22325i | 0.339665 | + | 0.165786i | ||||
\(379\) | − | 22.3722i | − | 1.14918i | −0.818441 | − | 0.574591i | \(-0.805161\pi\) | ||
0.818441 | − | 0.574591i | \(-0.194839\pi\) | |||||||
\(380\) | −26.7276 | − | 10.4364i | −1.37109 | − | 0.535376i | ||||
\(381\) | 8.72381 | − | 18.6087i | 0.446935 | − | 0.953355i | ||||
\(382\) | 17.3600 | − | 6.09140i | 0.888214 | − | 0.311663i | ||||
\(383\) | −5.47134 | − | 31.0295i | −0.279573 | − | 1.58554i | −0.724052 | − | 0.689746i | \(-0.757722\pi\) |
0.444479 | − | 0.895789i | \(-0.353389\pi\) | |||||||
\(384\) | −0.0787068 | − | 19.5958i | −0.00401649 | − | 0.999992i | ||||
\(385\) | 12.2208 | + | 10.2544i | 0.622828 | + | 0.522614i | ||||
\(386\) | −22.0337 | + | 18.0571i | −1.12148 | + | 0.919080i | ||||
\(387\) | 2.87904 | + | 0.0117851i | 0.146350 | + | 0.000599071i | ||||
\(388\) | 6.39783 | − | 31.9330i | 0.324801 | − | 1.62115i | ||||
\(389\) | −18.7022 | − | 3.29769i | −0.948237 | − | 0.167200i | −0.321919 | − | 0.946767i | \(-0.604328\pi\) |
−0.626318 | + | 0.779568i | \(0.715439\pi\) | |||||||
\(390\) | 0.306580 | − | 3.02773i | 0.0155243 | − | 0.153315i | ||||
\(391\) | 3.22476 | − | 8.85994i | 0.163083 | − | 0.448067i | ||||
\(392\) | 0.393936 | + | 2.80086i | 0.0198968 | + | 0.141465i | ||||
\(393\) | 15.3706 | + | 15.4337i | 0.775347 | + | 0.778527i | ||||
\(394\) | 16.2174 | + | 9.61565i | 0.817020 | + | 0.484430i | ||||
\(395\) | −0.267138 | − | 0.462697i | −0.0134412 | − | 0.0232808i | ||||
\(396\) | −0.831210 | + | 30.4460i | −0.0417699 | + | 1.52997i | ||||
\(397\) | −14.5100 | + | 25.1320i | −0.728234 | + | 1.26134i | 0.229395 | + | 0.973333i | \(0.426325\pi\) |
−0.957629 | + | 0.288005i | \(0.907008\pi\) | |||||||
\(398\) | 27.5478 | − | 15.4815i | 1.38085 | − | 0.776016i | ||||
\(399\) | 3.32689 | + | 7.17283i | 0.166553 | + | 0.359091i | ||||
\(400\) | 18.6196 | − | 5.81413i | 0.930982 | − | 0.290706i | ||||
\(401\) | −9.85491 | − | 11.7446i | −0.492131 | − | 0.586499i | 0.461627 | − | 0.887074i | \(-0.347266\pi\) |
−0.953758 | + | 0.300575i | \(0.902821\pi\) | |||||||
\(402\) | −36.1049 | − | 10.2044i | −1.80075 | − | 0.508947i | ||||
\(403\) | −1.34220 | − | 3.68767i | −0.0668599 | − | 0.183696i | ||||
\(404\) | 15.5313 | − | 17.6607i | 0.772713 | − | 0.878654i | ||||
\(405\) | −24.6099 | + | 13.9411i | −1.22288 | + | 0.692741i | ||||
\(406\) | −3.08776 | − | 1.16459i | −0.153243 | − | 0.0577976i | ||||
\(407\) | −26.8690 | + | 9.77951i | −1.33185 | + | 0.484752i | ||||
\(408\) | −11.2289 | − | 17.3647i | −0.555914 | − | 0.859683i | ||||
\(409\) | −21.9428 | + | 18.4122i | −1.08500 | + | 0.910423i | −0.996326 | − | 0.0856377i | \(-0.972707\pi\) |
−0.0886736 | + | 0.996061i | \(0.528263\pi\) | |||||||
\(410\) | −1.92772 | + | 10.2368i | −0.0952034 | + | 0.505559i | ||||
\(411\) | 0.383500 | − | 0.177874i | 0.0189167 | − | 0.00877390i | ||||
\(412\) | 29.9308 | − | 4.56438i | 1.47458 | − | 0.224871i | ||||
\(413\) | 2.60247 | + | 1.50254i | 0.128059 | + | 0.0739350i | ||||
\(414\) | 6.20467 | − | 7.16308i | 0.304943 | − | 0.352046i | ||||
\(415\) | −30.1588 | + | 17.4122i | −1.48044 | + | 0.854732i | ||||
\(416\) | 2.05355 | + | 0.885389i | 0.100684 | + | 0.0434097i | ||||
\(417\) | 5.71492 | − | 5.69157i | 0.279861 | − | 0.278717i | ||||
\(418\) | −21.3549 | + | 24.8584i | −1.04450 | + | 1.21586i | ||||
\(419\) | 11.1876 | + | 4.07194i | 0.546549 | + | 0.198928i | 0.600512 | − | 0.799615i | \(-0.294963\pi\) |
−0.0539636 | + | 0.998543i | \(0.517185\pi\) | |||||||
\(420\) | −9.74735 | − | 4.84851i | −0.475622 | − | 0.236583i | ||||
\(421\) | 2.65035 | − | 15.0309i | 0.129170 | − | 0.732559i | −0.849573 | − | 0.527470i | \(-0.823141\pi\) |
0.978743 | − | 0.205089i | \(-0.0657483\pi\) | |||||||
\(422\) | 38.7391 | − | 6.36830i | 1.88579 | − | 0.310004i | ||||
\(423\) | −5.99720 | − | 3.49529i | −0.291594 | − | 0.169947i | ||||
\(424\) | 0.532576 | − | 15.2971i | 0.0258642 | − | 0.742894i | ||||
\(425\) | 13.2314 | − | 15.7686i | 0.641819 | − | 0.764890i | ||||
\(426\) | 26.6151 | − | 18.0998i | 1.28950 | − | 0.876941i | ||||
\(427\) | −10.7452 | + | 1.89466i | −0.519995 | + | 0.0916892i | ||||
\(428\) | 0.293259 | + | 0.00680511i | 0.0141752 | + | 0.000328937i | ||||
\(429\) | −3.14713 | − | 1.47538i | −0.151945 | − | 0.0712320i | ||||
\(430\) | −4.26500 | − | 0.0494782i | −0.205677 | − | 0.00238605i | ||||
\(431\) | 7.21924 | 0.347739 | 0.173869 | − | 0.984769i | \(-0.444373\pi\) | ||||
0.173869 | + | 0.984769i | \(0.444373\pi\) | |||||||
\(432\) | −4.31766 | − | 20.3312i | −0.207734 | − | 0.978185i | ||||
\(433\) | −37.2734 | −1.79125 | −0.895623 | − | 0.444813i | \(-0.853270\pi\) | ||||
−0.895623 | + | 0.444813i | \(0.853270\pi\) | |||||||
\(434\) | −14.0378 | − | 0.162852i | −0.673837 | − | 0.00781717i | ||||
\(435\) | 10.4198 | − | 7.26427i | 0.499590 | − | 0.348295i | ||||
\(436\) | 28.6804 | + | 0.665531i | 1.37354 | + | 0.0318732i | ||||
\(437\) | 10.0418 | − | 1.77064i | 0.480366 | − | 0.0847014i | ||||
\(438\) | −3.27272 | − | 1.58082i | −0.156377 | − | 0.0755346i | ||||
\(439\) | −5.82016 | + | 6.93620i | −0.277781 | + | 0.331047i | −0.886839 | − | 0.462079i | \(-0.847103\pi\) |
0.609057 | + | 0.793126i | \(0.291548\pi\) | |||||||
\(440\) | 1.56999 | − | 45.0948i | 0.0748466 | − | 2.14981i | ||||
\(441\) | 1.01451 | + | 2.82325i | 0.0483101 | + | 0.134441i | ||||
\(442\) | 2.32864 | − | 0.382804i | 0.110762 | − | 0.0182082i | ||||
\(443\) | −0.0259702 | + | 0.147284i | −0.00123388 | + | 0.00699769i | −0.985418 | − | 0.170148i | \(-0.945575\pi\) |
0.984185 | + | 0.177146i | \(0.0566865\pi\) | |||||||
\(444\) | 16.2612 | − | 10.7849i | 0.771723 | − | 0.511828i | ||||
\(445\) | −45.1785 | − | 16.4436i | −2.14167 | − | 0.779503i | ||||
\(446\) | 8.85255 | − | 10.3049i | 0.419180 | − | 0.487951i | ||||
\(447\) | 10.7697 | + | 2.90937i | 0.509389 | + | 0.137608i | ||||
\(448\) | 5.55606 | − | 5.75589i | 0.262499 | − | 0.271940i | ||||
\(449\) | 8.74597 | − | 5.04949i | 0.412748 | − | 0.238300i | −0.279222 | − | 0.960227i | \(-0.590077\pi\) |
0.691970 | + | 0.721927i | \(0.256743\pi\) | |||||||
\(450\) | 18.0778 | − | 10.0623i | 0.852196 | − | 0.474342i | ||||
\(451\) | 10.3035 | + | 5.94872i | 0.485172 | + | 0.280114i | ||||
\(452\) | −2.36459 | + | 0.360595i | −0.111221 | + | 0.0169610i | ||||
\(453\) | −2.86474 | + | 31.9899i | −0.134597 | + | 1.50302i | ||||
\(454\) | −1.86095 | + | 9.88219i | −0.0873386 | + | 0.463794i | ||||
\(455\) | 0.951722 | − | 0.798589i | 0.0446174 | − | 0.0374384i | ||||
\(456\) | 10.1916 | − | 19.9066i | 0.477267 | − | 0.932211i | ||||
\(457\) | −26.0641 | + | 9.48656i | −1.21923 | + | 0.443763i | −0.869895 | − | 0.493236i | \(-0.835814\pi\) |
−0.349332 | + | 0.936999i | \(0.613592\pi\) | |||||||
\(458\) | −7.21735 | − | 2.72212i | −0.337245 | − | 0.127197i | ||||
\(459\) | −15.4138 | − | 15.6042i | −0.719453 | − | 0.728343i | ||||
\(460\) | −9.27153 | + | 10.5427i | −0.432287 | + | 0.491555i | ||||
\(461\) | 2.61046 | + | 7.17217i | 0.121581 | + | 0.334041i | 0.985521 | − | 0.169554i | \(-0.0542326\pi\) |
−0.863940 | + | 0.503595i | \(0.832010\pi\) | |||||||
\(462\) | −8.91145 | + | 8.67148i | −0.414598 | + | 0.403434i | ||||
\(463\) | −6.07771 | − | 7.24313i | −0.282455 | − | 0.336617i | 0.606099 | − | 0.795389i | \(-0.292734\pi\) |
−0.888554 | + | 0.458773i | \(0.848289\pi\) | |||||||
\(464\) | 2.78214 | + | 8.90976i | 0.129158 | + | 0.413625i | ||||
\(465\) | 31.0839 | − | 44.1996i | 1.44148 | − | 2.04971i | ||||
\(466\) | −14.0296 | + | 7.88442i | −0.649908 | + | 0.365239i | ||||
\(467\) | −0.185247 | + | 0.320857i | −0.00857220 | + | 0.0148475i | −0.870280 | − | 0.492558i | \(-0.836062\pi\) |
0.861707 | + | 0.507405i | \(0.169395\pi\) | |||||||
\(468\) | 2.32380 | + | 0.475479i | 0.107418 | + | 0.0219790i | ||||
\(469\) | −7.65858 | − | 13.2650i | −0.353640 | − | 0.612523i | ||||
\(470\) | 8.84563 | + | 5.24477i | 0.408018 | + | 0.241923i | ||||
\(471\) | −10.7487 | + | 2.85655i | −0.495276 | + | 0.131623i | ||||
\(472\) | −1.18380 | − | 8.41679i | −0.0544890 | − | 0.387414i | ||||
\(473\) | −1.66618 | + | 4.57780i | −0.0766112 | + | 0.210488i | ||||
\(474\) | 0.379777 | − | 0.170823i | 0.0174437 | − | 0.00784614i | ||||
\(475\) | 21.9234 | + | 3.86568i | 1.00591 | + | 0.177370i | ||||
\(476\) | 1.65845 | − | 8.27768i | 0.0760149 | − | 0.379407i | ||||
\(477\) | −2.75369 | − | 15.9996i | −0.126083 | − | 0.732573i | ||||
\(478\) | −18.9559 | + | 15.5348i | −0.867024 | + | 0.710545i | ||||
\(479\) | −20.7077 | − | 17.3758i | −0.946157 | − | 0.793920i | 0.0324888 | − | 0.999472i | \(-0.489657\pi\) |
−0.978646 | + | 0.205552i | \(0.934101\pi\) | |||||||
\(480\) | 6.17025 | + | 30.1675i | 0.281632 | + | 1.37695i | ||||
\(481\) | 0.386676 | + | 2.19295i | 0.0176309 | + | 0.0999899i | ||||
\(482\) | −28.5065 | + | 10.0026i | −1.29844 | + | 0.455605i | ||||
\(483\) | 3.85480 | − | 0.329303i | 0.175400 | − | 0.0149838i | ||||
\(484\) | −27.5131 | − | 10.7431i | −1.25060 | − | 0.488324i | ||||
\(485\) | 51.1751i | 2.32374i | ||||||||
\(486\) | −8.87837 | − | 20.1786i | −0.402731 | − | 0.915318i | ||||
\(487\) | − | 16.5180i | − | 0.748503i | −0.927327 | − | 0.374251i | \(-0.877900\pi\) | ||
0.927327 | − | 0.374251i | \(-0.122100\pi\) | |||||||
\(488\) | 22.9362 | + | 20.6475i | 1.03827 | + | 0.934667i | ||||
\(489\) | −37.2812 | + | 3.18481i | −1.68591 | + | 0.144022i | ||||
\(490\) | −1.47154 | − | 4.19377i | −0.0664775 | − | 0.189455i | ||||
\(491\) | 3.06984 | + | 17.4099i | 0.138540 | + | 0.785699i | 0.972329 | + | 0.233616i | \(0.0750558\pi\) |
−0.833789 | + | 0.552083i | \(0.813833\pi\) | |||||||
\(492\) | −7.78682 | − | 2.29867i | −0.351057 | − | 0.103632i | ||||
\(493\) | 7.54550 | + | 6.33143i | 0.339832 | + | 0.285153i | ||||
\(494\) | 1.61771 | + | 1.97397i | 0.0727842 | + | 0.0888131i | ||||
\(495\) | −8.11766 | − | 47.1657i | −0.364862 | − | 2.11994i | ||||
\(496\) | 24.0851 | + | 31.5690i | 1.08146 | + | 1.41749i | ||||
\(497\) | 12.9404 | + | 2.28175i | 0.580457 | + | 0.102350i | ||||
\(498\) | −11.1343 | − | 24.7541i | −0.498941 | − | 1.10926i | ||||
\(499\) | −2.08157 | + | 5.71908i | −0.0931840 | + | 0.256021i | −0.977525 | − | 0.210821i | \(-0.932386\pi\) |
0.884341 | + | 0.466842i | \(0.154608\pi\) | |||||||
\(500\) | 0.680674 | − | 0.372206i | 0.0304407 | − | 0.0166455i | ||||
\(501\) | −9.25946 | + | 2.46076i | −0.413682 | + | 0.109939i | ||||
\(502\) | −10.7028 | + | 18.0509i | −0.477689 | + | 0.805652i | ||||
\(503\) | 10.2415 | + | 17.7388i | 0.456646 | + | 0.790934i | 0.998781 | − | 0.0493572i | \(-0.0157173\pi\) |
−0.542135 | + | 0.840291i | \(0.682384\pi\) | |||||||
\(504\) | 4.52518 | − | 7.17794i | 0.201567 | − | 0.319731i | ||||
\(505\) | −18.4780 | + | 32.0048i | −0.822259 | + | 1.42419i | ||||
\(506\) | 7.85601 | + | 13.9790i | 0.349242 | + | 0.621444i | ||||
\(507\) | 12.7970 | − | 18.1967i | 0.568336 | − | 0.808143i | ||||
\(508\) | −20.2713 | − | 12.3394i | −0.899395 | − | 0.547471i | ||||
\(509\) | 8.94266 | + | 10.6574i | 0.396376 | + | 0.472383i | 0.926912 | − | 0.375280i | \(-0.122453\pi\) |
−0.530535 | + | 0.847663i | \(0.678009\pi\) | |||||||
\(510\) | 22.6611 | + | 23.2882i | 1.00345 | + | 1.03122i | ||||
\(511\) | −0.507484 | − | 1.39430i | −0.0224498 | − | 0.0616803i | ||||
\(512\) | −22.5042 | − | 2.35811i | −0.994555 | − | 0.104215i | ||||
\(513\) | 6.27987 | − | 22.8741i | 0.277263 | − | 1.00991i | ||||
\(514\) | −2.16078 | + | 5.72902i | −0.0953079 | + | 0.252696i | ||||
\(515\) | −44.7063 | + | 16.2718i | −1.97000 | + | 0.717020i | ||||
\(516\) | 0.373260 | − | 3.30344i | 0.0164318 | − | 0.145426i | ||||
\(517\) | 8.99752 | − | 7.54982i | 0.395711 | − | 0.332041i | ||||
\(518\) | 7.82838 | + | 1.47419i | 0.343959 | + | 0.0647721i | ||||
\(519\) | 3.38239 | − | 37.7704i | 0.148471 | − | 1.65794i | ||||
\(520\) | −3.43728 | − | 0.730239i | −0.150735 | − | 0.0320231i | ||||
\(521\) | 0.586899 | + | 0.338846i | 0.0257125 | + | 0.0148451i | 0.512801 | − | 0.858507i | \(-0.328608\pi\) |
−0.487089 | + | 0.873353i | \(0.661941\pi\) | |||||||
\(522\) | 4.81496 | + | 8.65048i | 0.210745 | + | 0.378621i | ||||
\(523\) | −15.9122 | + | 9.18689i | −0.695790 | + | 0.401714i | −0.805777 | − | 0.592219i | \(-0.798252\pi\) |
0.109988 | + | 0.993933i | \(0.464919\pi\) | |||||||
\(524\) | 19.6372 | − | 15.7159i | 0.857855 | − | 0.686551i | ||||
\(525\) | 8.15417 | + | 2.20280i | 0.355877 | + | 0.0961381i | ||||
\(526\) | 10.0120 | + | 8.60095i | 0.436544 | + | 0.375019i | ||||
\(527\) | 39.3753 | + | 14.3315i | 1.71522 | + | 0.624288i | ||||
\(528\) | 34.8458 | + | 4.75834i | 1.51647 | + | 0.207080i | ||||
\(529\) | −3.12752 | + | 17.7371i | −0.135979 | + | 0.771177i | ||||
\(530\) | 3.90149 | + | 23.7332i | 0.169470 | + | 1.03090i | ||||
\(531\) | −3.04868 | − | 8.48408i | −0.132302 | − | 0.368178i | ||||
\(532\) | 8.64953 | − | 2.92277i | 0.375005 | − | 0.126718i | ||||
\(533\) | 0.595570 | − | 0.709773i | 0.0257970 | − | 0.0307437i | ||||
\(534\) | 16.2988 | − | 33.7428i | 0.705317 | − | 1.46019i | ||||
\(535\) | −0.453934 | + | 0.0800409i | −0.0196253 | + | 0.00346047i | ||||
\(536\) | −16.2250 | + | 40.1705i | −0.700815 | + | 1.73510i | ||||
\(537\) | 9.24627 | − | 6.44615i | 0.399006 | − | 0.278172i | ||||
\(538\) | 0.264285 | − | 22.7812i | 0.0113941 | − | 0.982169i | ||||
\(539\) | −5.07623 | −0.218649 | ||||||||
\(540\) | 12.9284 | + | 29.9921i | 0.556348 | + | 1.29066i | ||||
\(541\) | 9.83573 | 0.422871 | 0.211436 | − | 0.977392i | \(-0.432186\pi\) | ||||
0.211436 | + | 0.977392i | \(0.432186\pi\) | |||||||
\(542\) | 0.262990 | − | 22.6696i | 0.0112964 | − | 0.973742i | ||||
\(543\) | −19.0660 | − | 8.93819i | −0.818202 | − | 0.383574i | ||||
\(544\) | −21.3364 | + | 10.7202i | −0.914790 | + | 0.459625i | ||||
\(545\) | −44.3942 | + | 7.82790i | −1.90164 | + | 0.335310i | ||||
\(546\) | 0.544541 | + | 0.800724i | 0.0233042 | + | 0.0342678i | ||||
\(547\) | −8.20047 | + | 9.77293i | −0.350627 | + | 0.417860i | −0.912315 | − | 0.409488i | \(-0.865707\pi\) |
0.561689 | + | 0.827349i | \(0.310152\pi\) | |||||||
\(548\) | −0.156268 | − | 0.462453i | −0.00667544 | − | 0.0197550i | ||||
\(549\) | 28.2802 | + | 16.4823i | 1.20697 | + | 0.703447i | ||||
\(550\) | 5.67878 | + | 34.5446i | 0.242144 | + | 1.47299i | ||||
\(551\) | −1.84978 | + | 10.4906i | −0.0788033 | + | 0.446916i | ||||
\(552\) | −7.44738 | − | 8.01749i | −0.316981 | − | 0.341247i | ||||
\(553\) | 0.159753 | + | 0.0581453i | 0.00679338 | + | 0.00247259i | ||||
\(554\) | 16.6754 | + | 14.3252i | 0.708469 | + | 0.608620i | ||||
\(555\) | −21.7250 | + | 21.6363i | −0.922175 | + | 0.918408i | ||||
\(556\) | −5.81940 | − | 7.27142i | −0.246798 | − | 0.308377i | ||||
\(557\) | −32.4381 | + | 18.7282i | −1.37445 | + | 0.793538i | −0.991484 | − | 0.130226i | \(-0.958430\pi\) |
−0.382963 | + | 0.923764i | \(0.625096\pi\) | |||||||
\(558\) | 31.8341 | + | 27.5748i | 1.34765 | + | 1.16733i | ||||
\(559\) | 0.328559 | + | 0.189694i | 0.0138966 | + | 0.00802319i | ||||
\(560\) | −6.78362 | + | 10.5834i | −0.286660 | + | 0.447229i | ||||
\(561\) | 33.6679 | − | 15.6158i | 1.42146 | − | 0.659299i | ||||
\(562\) | 10.9109 | + | 2.05467i | 0.460250 | + | 0.0866710i | ||||
\(563\) | 9.38032 | − | 7.87102i | 0.395333 | − | 0.331724i | −0.423353 | − | 0.905965i | \(-0.639147\pi\) |
0.818687 | + | 0.574241i | \(0.194703\pi\) | |||||||
\(564\) | −4.76166 | + | 6.44758i | −0.200502 | + | 0.271492i | ||||
\(565\) | 3.53189 | − | 1.28550i | 0.148588 | − | 0.0540815i | ||||
\(566\) | −1.46626 | + | 3.88760i | −0.0616316 | + | 0.163408i | ||||
\(567\) | 3.14731 | − | 8.43175i | 0.132175 | − | 0.354100i | ||||
\(568\) | −17.4517 | − | 32.8135i | −0.732256 | − | 1.37682i | ||||
\(569\) | 13.7711 | + | 37.8358i | 0.577314 | + | 1.58616i | 0.792689 | + | 0.609626i | \(0.208681\pi\) |
−0.215375 | + | 0.976532i | \(0.569097\pi\) | |||||||
\(570\) | −9.55765 | + | 33.8167i | −0.400326 | + | 1.41643i | ||||
\(571\) | 10.4156 | + | 12.4128i | 0.435877 | + | 0.519458i | 0.938608 | − | 0.344985i | \(-0.112116\pi\) |
−0.502731 | + | 0.864443i | \(0.667671\pi\) | |||||||
\(572\) | −2.08685 | + | 3.42831i | −0.0872555 | + | 0.143345i | ||||
\(573\) | −9.48080 | − | 20.4408i | −0.396066 | − | 0.853926i | ||||
\(574\) | −1.62388 | − | 2.88954i | −0.0677793 | − | 0.120607i | ||||
\(575\) | 5.44634 | − | 9.43334i | 0.227128 | − | 0.393398i | ||||
\(576\) | −23.8781 | + | 2.41598i | −0.994920 | + | 0.100666i | ||||
\(577\) | −15.4762 | − | 26.8057i | −0.644285 | − | 1.11593i | −0.984466 | − | 0.175574i | \(-0.943822\pi\) |
0.340182 | − | 0.940360i | \(-0.389511\pi\) | |||||||
\(578\) | −0.589722 | + | 0.994603i | −0.0245292 | + | 0.0413700i | ||||
\(579\) | 24.6204 | + | 24.7214i | 1.02319 | + | 1.02738i | ||||
\(580\) | −7.03687 | − | 12.8687i | −0.292190 | − | 0.534345i | ||||
\(581\) | 3.78994 | − | 10.4128i | 0.157233 | − | 0.431995i | ||||
\(582\) | −39.6841 | − | 4.01831i | −1.64496 | − | 0.166564i | ||||
\(583\) | 27.0533 | + | 4.77023i | 1.12043 | + | 0.197563i | ||||
\(584\) | −2.22358 | + | 3.55930i | −0.0920124 | + | 0.147285i | ||||
\(585\) | −3.72712 | − | 0.0152567i | −0.154098 | − | 0.000630785i | ||||
\(586\) | −0.632620 | − | 0.771938i | −0.0261333 | − | 0.0318885i | ||||
\(587\) | −7.04811 | − | 5.91406i | −0.290906 | − | 0.244100i | 0.485641 | − | 0.874158i | \(-0.338586\pi\) |
−0.776547 | + | 0.630059i | \(0.783031\pi\) | |||||||
\(588\) | 3.36763 | − | 0.811818i | 0.138879 | − | 0.0334788i | ||||
\(589\) | 7.86910 | + | 44.6279i | 0.324240 | + | 1.83886i | ||||
\(590\) | 4.42209 | + | 12.6026i | 0.182055 | + | 0.518840i | ||||
\(591\) | 9.80151 | − | 20.9076i | 0.403180 | − | 0.860023i | ||||
\(592\) | −10.3484 | − | 20.0141i | −0.425316 | − | 0.822576i | ||||
\(593\) | − | 28.9526i | − | 1.18894i | −0.804118 | − | 0.594469i | \(-0.797362\pi\) | ||
0.804118 | − | 0.594469i | \(-0.202638\pi\) | |||||||
\(594\) | 37.2124 | − | 2.59140i | 1.52684 | − | 0.106326i | ||||
\(595\) | 13.2656i | 0.543838i | ||||||||
\(596\) | 4.68538 | − | 11.9992i | 0.191921 | − | 0.491508i | ||||
\(597\) | −22.1336 | − | 31.7481i | −0.905867 | − | 1.29936i | ||||
\(598\) | 1.17835 | − | 0.413469i | 0.0481864 | − | 0.0169080i | ||||
\(599\) | −0.444579 | − | 2.52133i | −0.0181650 | − | 0.103019i | 0.974377 | − | 0.224920i | \(-0.0722121\pi\) |
−0.992542 | + | 0.121901i | \(0.961101\pi\) | |||||||
\(600\) | −9.29194 | − | 22.0092i | −0.379342 | − | 0.898520i | ||||
\(601\) | 27.4075 | + | 22.9976i | 1.11798 | + | 0.938093i | 0.998500 | − | 0.0547440i | \(-0.0174343\pi\) |
0.119476 | + | 0.992837i | \(0.461879\pi\) | |||||||
\(602\) | 1.04973 | − | 0.860275i | 0.0427837 | − | 0.0350622i | ||||
\(603\) | −8.16456 | + | 45.2203i | −0.332487 | + | 1.84151i | ||||
\(604\) | 36.3640 | + | 7.28559i | 1.47963 | + | 0.296446i | ||||
\(605\) | 45.7066 | + | 8.05931i | 1.85824 | + | 0.327657i | ||||
\(606\) | −23.3674 | − | 16.8419i | −0.949236 | − | 0.684155i | ||||
\(607\) | 5.16639 | − | 14.1946i | 0.209697 | − | 0.576139i | −0.789600 | − | 0.613622i | \(-0.789712\pi\) |
0.999297 | + | 0.0374831i | \(0.0119340\pi\) | |||||||
\(608\) | −21.5777 | − | 14.1865i | −0.875093 | − | 0.575338i | ||||
\(609\) | −1.05407 | + | 3.90188i | −0.0427131 | + | 0.158112i | ||||
\(610\) | −41.7122 | − | 24.7321i | −1.68888 | − | 1.00137i | ||||
\(611\) | −0.457352 | − | 0.792157i | −0.0185025 | − | 0.0320472i | ||||
\(612\) | −19.8383 | + | 15.7441i | −0.801917 | + | 0.636416i | ||||
\(613\) | 15.7415 | − | 27.2650i | 0.635792 | − | 1.10122i | −0.350555 | − | 0.936542i | \(-0.614007\pi\) |
0.986347 | − | 0.164681i | \(-0.0526596\pi\) | |||||||
\(614\) | 2.16482 | − | 1.21660i | 0.0873652 | − | 0.0490980i | ||||
\(615\) | 12.7070 | + | 1.13793i | 0.512394 | + | 0.0458856i | ||||
\(616\) | 8.84070 | + | 11.3131i | 0.356202 | + | 0.455819i | ||||
\(617\) | −7.21958 | − | 8.60396i | −0.290649 | − | 0.346382i | 0.600885 | − | 0.799336i | \(-0.294815\pi\) |
−0.891534 | + | 0.452953i | \(0.850371\pi\) | |||||||
\(618\) | −9.10767 | − | 35.9455i | −0.366364 | − | 1.44594i | ||||
\(619\) | 15.7877 | + | 43.3765i | 0.634563 | + | 1.74345i | 0.668166 | + | 0.744012i | \(0.267079\pi\) |
−0.0336035 | + | 0.999435i | \(0.510698\pi\) | |||||||
\(620\) | −46.8537 | − | 41.2045i | −1.88169 | − | 1.65481i | ||||
\(621\) | −9.46645 | − | 6.71548i | −0.379876 | − | 0.269483i | ||||
\(622\) | −27.0770 | − | 10.2125i | −1.08569 | − | 0.409482i | ||||
\(623\) | 14.3757 | − | 5.23233i | 0.575950 | − | 0.209629i | ||||
\(624\) | 0.836167 | − | 2.60812i | 0.0334734 | − | 0.104408i | ||||
\(625\) | −19.6122 | + | 16.4566i | −0.784488 | + | 0.658263i | ||||
\(626\) | 0.117876 | − | 0.625959i | 0.00471128 | − | 0.0250183i | ||||
\(627\) | 32.8309 | + | 23.0888i | 1.31114 | + | 0.922076i | ||||
\(628\) | 1.93605 | + | 12.6956i | 0.0772570 | + | 0.506610i | ||||
\(629\) | −20.5911 | − | 11.8883i | −0.821021 | − | 0.474017i | ||||
\(630\) | −4.75634 | + | 12.4561i | −0.189497 | + | 0.496265i | ||||
\(631\) | −8.72866 | + | 5.03949i | −0.347482 | + | 0.200619i | −0.663576 | − | 0.748109i | \(-0.730962\pi\) |
0.316094 | + | 0.948728i | \(0.397629\pi\) | |||||||
\(632\) | −0.148638 | − | 0.457298i | −0.00591251 | − | 0.0181903i | ||||
\(633\) | −12.3495 | − | 46.4693i | −0.490850 | − | 1.84699i | ||||
\(634\) | 18.8794 | − | 21.9768i | 0.749798 | − | 0.872809i | ||||
\(635\) | 35.0417 | + | 12.7541i | 1.39059 | + | 0.506133i | ||||
\(636\) | −18.7104 | + | 1.16189i | −0.741915 | + | 0.0460718i | ||||
\(637\) | −0.0686472 | + | 0.389318i | −0.00271990 | + | 0.0154253i | ||||
\(638\) | −16.5301 | + | 2.71738i | −0.654432 | + | 0.107582i | ||||
\(639\) | −25.2150 | − | 30.3011i | −0.997489 | − | 1.19869i | ||||
\(640\) | 35.4009 | − | 3.31358i | 1.39934 | − | 0.130981i | ||||
\(641\) | 19.3363 | − | 23.0441i | 0.763739 | − | 0.910189i | −0.234339 | − | 0.972155i | \(-0.575293\pi\) |
0.998078 | + | 0.0619660i | \(0.0197370\pi\) | |||||||
\(642\) | −0.0264249 | − | 0.358291i | −0.00104291 | − | 0.0141406i | ||||
\(643\) | 38.2382 | − | 6.74243i | 1.50797 | − | 0.265896i | 0.642277 | − | 0.766473i | \(-0.277990\pi\) |
0.865692 | + | 0.500577i | \(0.166879\pi\) | |||||||
\(644\) | 0.103637 | − | 4.46615i | 0.00408389 | − | 0.175991i | ||||
\(645\) | 0.444640 | + | 5.20493i | 0.0175077 | + | 0.204944i | ||||
\(646\) | −27.2491 | − | 0.316116i | −1.07210 | − | 0.0124374i | ||||
\(647\) | 43.9740 | 1.72880 | 0.864398 | − | 0.502808i | \(-0.167700\pi\) | ||||
0.864398 | + | 0.502808i | \(0.167700\pi\) | |||||||
\(648\) | −24.2727 | + | 7.67038i | −0.953523 | + | 0.301321i | ||||
\(649\) | 15.2544 | 0.598789 | ||||||||
\(650\) | 2.72617 | + | 0.0316263i | 0.106929 | + | 0.00124048i | ||||
\(651\) | 1.46349 | + | 17.1315i | 0.0573586 | + | 0.671436i | ||||
\(652\) | −1.00232 | + | 43.1938i | −0.0392537 | + | 1.69160i | ||||
\(653\) | −29.4634 | + | 5.19519i | −1.15299 | + | 0.203304i | −0.717282 | − | 0.696783i | \(-0.754614\pi\) |
−0.435710 | + | 0.900087i | \(0.643503\pi\) | |||||||
\(654\) | −2.58432 | − | 35.0404i | −0.101055 | − | 1.37019i | ||||
\(655\) | −25.4043 | + | 30.2757i | −0.992630 | + | 1.18297i | ||||
\(656\) | −3.61163 | + | 8.65143i | −0.141011 | + | 0.337782i | ||||
\(657\) | −1.53956 | + | 4.17664i | −0.0600641 | + | 0.162946i | ||||
\(658\) | −3.22888 | + | 0.530795i | −0.125875 | + | 0.0206926i | ||||
\(659\) | −3.21235 | + | 18.2182i | −0.125136 | + | 0.709679i | 0.856092 | + | 0.516824i | \(0.172886\pi\) |
−0.981227 | + | 0.192855i | \(0.938225\pi\) | |||||||
\(660\) | −55.1568 | + | 3.42515i | −2.14698 | + | 0.133324i | ||||
\(661\) | 7.80059 | + | 2.83918i | 0.303408 | + | 0.110431i | 0.489238 | − | 0.872151i | \(-0.337275\pi\) |
−0.185830 | + | 0.982582i | \(0.559497\pi\) | |||||||
\(662\) | −29.2854 | + | 34.0900i | −1.13821 | + | 1.32494i | ||||
\(663\) | −0.742341 | − | 2.79331i | −0.0288301 | − | 0.108483i | ||||
\(664\) | −29.8069 | + | 9.68833i | −1.15673 | + | 0.375980i | ||||
\(665\) | −12.4244 | + | 7.17322i | −0.481797 | + | 0.278165i | ||||
\(666\) | −15.0721 | − | 18.5457i | −0.584033 | − | 0.718631i | ||||
\(667\) | 4.51398 | + | 2.60615i | 0.174782 | + | 0.100911i | ||||
\(668\) | 1.66781 | + | 10.9366i | 0.0645294 | + | 0.423149i | ||||
\(669\) | −13.6098 | − | 9.57129i | −0.526187 | − | 0.370047i | ||||
\(670\) | 12.5982 | − | 66.9005i | 0.486713 | − | 2.58459i | ||||
\(671\) | −42.4284 | + | 35.6017i | −1.63793 | + | 1.37439i | ||||
\(672\) | −7.67429 | − | 6.09141i | −0.296042 | − | 0.234981i | ||||
\(673\) | 29.6873 | − | 10.8053i | 1.14436 | − | 0.416513i | 0.300874 | − | 0.953664i | \(-0.402722\pi\) |
0.843486 | + | 0.537151i | \(0.180500\pi\) | |||||||
\(674\) | −34.4085 | − | 12.9777i | −1.32537 | − | 0.499881i | ||||
\(675\) | −14.4064 | − | 20.8457i | −0.554501 | − | 0.802351i | ||||
\(676\) | −19.2894 | − | 16.9636i | −0.741899 | − | 0.652447i | ||||
\(677\) | −11.2770 | − | 30.9832i | −0.433409 | − | 1.19078i | −0.943706 | − | 0.330784i | \(-0.892687\pi\) |
0.510297 | − | 0.859998i | \(-0.329535\pi\) | |||||||
\(678\) | 0.719524 | + | 2.83976i | 0.0276331 | + | 0.109060i | ||||
\(679\) | −10.4670 | − | 12.4741i | −0.401687 | − | 0.478712i | ||||
\(680\) | 29.5644 | − | 23.1033i | 1.13374 | − | 0.885970i | ||||
\(681\) | 12.2668 | + | 1.09851i | 0.470065 | + | 0.0420950i | ||||
\(682\) | −62.1256 | + | 34.9136i | −2.37891 | + | 1.33691i | ||||
\(683\) | −17.4605 | + | 30.2424i | −0.668107 | + | 1.15719i | 0.310326 | + | 0.950630i | \(0.399562\pi\) |
−0.978433 | + | 0.206565i | \(0.933772\pi\) | |||||||
\(684\) | −25.4729 | − | 10.0669i | −0.973982 | − | 0.384916i | ||||
\(685\) | 0.383521 | + | 0.664278i | 0.0146536 | + | 0.0253808i | ||||
\(686\) | 1.21646 | + | 0.721266i | 0.0464447 | + | 0.0275381i | ||||
\(687\) | −2.46380 | + | 9.12030i | −0.0939997 | + | 0.347961i | ||||
\(688\) | −3.74544 | − | 0.841231i | −0.142794 | − | 0.0320716i | ||||
\(689\) | 0.731699 | − | 2.01033i | 0.0278755 | − | 0.0765873i | ||||
\(690\) | 13.9493 | + | 10.0539i | 0.531041 | + | 0.382744i | ||||
\(691\) | −0.124765 | − | 0.0219995i | −0.00474629 | − | 0.000836899i | 0.171275 | − | 0.985223i | \(-0.445211\pi\) |
−0.176021 | + | 0.984386i | \(0.556323\pi\) | |||||||
\(692\) | −42.9348 | − | 8.60206i | −1.63214 | − | 0.327001i | ||||
\(693\) | 11.6257 | + | 9.83648i | 0.441623 | + | 0.373657i | ||||
\(694\) | 28.1951 | − | 23.1065i | 1.07027 | − | 0.877109i | ||||
\(695\) | 11.2107 | + | 9.40693i | 0.425248 | + | 0.356825i | ||||
\(696\) | 10.5317 | − | 4.44632i | 0.399202 | − | 0.168537i | ||||
\(697\) | 1.71794 | + | 9.74291i | 0.0650716 | + | 0.369039i | ||||
\(698\) | 4.43491 | − | 1.55615i | 0.167864 | − | 0.0589013i | ||||
\(699\) | 11.2722 | + | 16.1687i | 0.426354 | + | 0.611557i | ||||
\(700\) | 3.54749 | − | 9.08511i | 0.134083 | − | 0.343385i | ||||
\(701\) | − | 48.7288i | − | 1.84046i | −0.391378 | − | 0.920230i | \(-0.628002\pi\) | ||
0.391378 | − | 0.920230i | \(-0.371998\pi\) | |||||||
\(702\) | 0.304488 | − | 2.88902i | 0.0114921 | − | 0.109039i | ||||
\(703\) | − | 25.7137i | − | 0.969812i | ||||||
\(704\) | 9.81612 | − | 39.4056i | 0.369959 | − | 1.48515i | ||||
\(705\) | 5.34615 | − | 11.4039i | 0.201348 | − | 0.429494i | ||||
\(706\) | −11.2118 | − | 31.9528i | −0.421963 | − | 1.20256i | ||||
\(707\) | −2.04198 | − | 11.5806i | −0.0767965 | − | 0.435535i | ||||
\(708\) | −10.1200 | + | 2.43957i | −0.380332 | + | 0.0916848i | ||||
\(709\) | −26.9530 | − | 22.6162i | −1.01224 | − | 0.849370i | −0.0236073 | − | 0.999721i | \(-0.507515\pi\) |
−0.988633 | + | 0.150351i | \(0.951960\pi\) | |||||||
\(710\) | 37.0175 | + | 45.1697i | 1.38924 | + | 1.69519i | ||||
\(711\) | −0.253198 | − | 0.442727i | −0.00949567 | − | 0.0166036i | ||||
\(712\) | −36.6976 | − | 22.9258i | −1.37530 | − | 0.859181i | ||||
\(713\) | 21.8366 | + | 3.85039i | 0.817788 | + | 0.144198i | ||||
\(714\) | −10.2869 | − | 1.04163i | −0.384978 | − | 0.0389820i | ||||
\(715\) | 2.15699 | − | 5.92629i | 0.0806670 | − | 0.221631i | ||||
\(716\) | −6.24436 | − | 11.4194i | −0.233363 | − | 0.426764i | ||||
\(717\) | 21.1813 | + | 21.2682i | 0.791031 | + | 0.794276i | ||||
\(718\) | −6.54515 | + | 11.0388i | −0.244263 | + | 0.411964i | ||||
\(719\) | −15.2222 | − | 26.3656i | −0.567692 | − | 0.983272i | −0.996794 | − | 0.0800157i | \(-0.974503\pi\) |
0.429101 | − | 0.903256i | \(-0.358830\pi\) | |||||||
\(720\) | 36.0439 | − | 11.0933i | 1.34328 | − | 0.413422i | ||||
\(721\) | 7.56920 | − | 13.1102i | 0.281892 | − | 0.488251i | ||||
\(722\) | −1.27432 | − | 2.26753i | −0.0474251 | − | 0.0843886i | ||||
\(723\) | 15.5683 | + | 33.5654i | 0.578989 | + | 1.24831i | ||||
\(724\) | −12.6426 | + | 20.7695i | −0.469858 | + | 0.771891i | ||||
\(725\) | 7.31461 | + | 8.71722i | 0.271658 | + | 0.323749i | ||||
\(726\) | −9.83856 | + | 34.8106i | −0.365143 | + | 1.29194i | ||||
\(727\) | 7.57236 | + | 20.8049i | 0.280843 | + | 0.771611i | 0.997263 | + | 0.0739408i | \(0.0235576\pi\) |
−0.716419 | + | 0.697670i | \(0.754220\pi\) | |||||||
\(728\) | 0.987207 | − | 0.525041i | 0.0365883 | − | 0.0194593i | ||||
\(729\) | −23.5467 | + | 13.2118i | −0.872100 | + | 0.489328i | ||||
\(730\) | 2.32722 | − | 6.17033i | 0.0861344 | − | 0.228374i | ||||
\(731\) | −3.80663 | + | 1.38550i | −0.140793 | + | 0.0512446i | ||||
\(732\) | 22.4539 | − | 30.4040i | 0.829921 | − | 1.12376i | ||||
\(733\) | −13.7232 | + | 11.5152i | −0.506879 | + | 0.425322i | −0.860029 | − | 0.510245i | \(-0.829555\pi\) |
0.353150 | + | 0.935567i | \(0.385110\pi\) | |||||||
\(734\) | −10.5360 | − | 1.98408i | −0.388893 | − | 0.0732336i | ||||
\(735\) | −4.93802 | + | 2.29034i | −0.182142 | + | 0.0844806i | ||||
\(736\) | −10.1340 | + | 7.54722i | −0.373543 | + | 0.278194i | ||||
\(737\) | −67.3364 | − | 38.8767i | −2.48037 | − | 1.43204i | ||||
\(738\) | −1.88017 | + | 9.76435i | −0.0692102 | + | 0.359431i | ||||
\(739\) | 16.5451 | − | 9.55230i | 0.608620 | − | 0.351387i | −0.163805 | − | 0.986493i | \(-0.552377\pi\) |
0.772425 | + | 0.635106i | \(0.219043\pi\) | |||||||
\(740\) | 22.1222 | + | 27.6420i | 0.813228 | + | 1.01614i | ||||
\(741\) | 2.21476 | − | 2.20571i | 0.0813612 | − | 0.0810288i | ||||
\(742\) | −5.80523 | − | 4.98706i | −0.213117 | − | 0.183081i | ||||
\(743\) | 27.6893 | + | 10.0781i | 1.01582 | + | 0.369729i | 0.795666 | − | 0.605736i | \(-0.207121\pi\) |
0.220156 | + | 0.975465i | \(0.429343\pi\) | |||||||
\(744\) | 35.6313 | − | 33.0976i | 1.30631 | − | 1.21342i | ||||
\(745\) | −3.51489 | + | 19.9339i | −0.128776 | + | 0.730322i | ||||
\(746\) | −3.47280 | − | 21.1254i | −0.127148 | − | 0.773456i | ||||
\(747\) | −28.8572 | + | 16.5036i | −1.05583 | + | 0.603835i | ||||
\(748\) | −13.7189 | − | 40.5992i | −0.501614 | − | 1.48445i | ||||
\(749\) | 0.0942770 | − | 0.112355i | 0.00344481 | − | 0.00410536i | ||||
\(750\) | −0.534310 | − | 0.785681i | −0.0195103 | − | 0.0286890i | ||||
\(751\) | −37.7811 | + | 6.66182i | −1.37865 | + | 0.243093i | −0.813342 | − | 0.581786i | \(-0.802354\pi\) |
−0.565309 | + | 0.824879i | \(0.691243\pi\) | |||||||
\(752\) | 6.80634 | + | 6.27162i | 0.248202 | + | 0.228702i | ||||
\(753\) | 23.2714 | + | 10.9097i | 0.848057 | + | 0.397571i | ||||
\(754\) | −0.0151336 | + | 1.30451i | −0.000551134 | + | 0.0475075i | ||||
\(755\) | −58.2761 | −2.12088 | ||||||||
\(756\) | −9.28573 | − | 4.66640i | −0.337719 | − | 0.169715i | ||||
\(757\) | 9.27962 | 0.337274 | 0.168637 | − | 0.985678i | \(-0.446064\pi\) | ||||
0.168637 | + | 0.985678i | \(0.446064\pi\) | |||||||
\(758\) | −0.367019 | + | 31.6369i | −0.0133307 | + | 1.14910i | ||||
\(759\) | 16.1104 | − | 11.2316i | 0.584772 | − | 0.407681i | ||||
\(760\) | 37.6247 | + | 15.1968i | 1.36479 | + | 0.551245i | ||||
\(761\) | −40.9849 | + | 7.22674i | −1.48570 | + | 0.261969i | −0.856853 | − | 0.515560i | \(-0.827584\pi\) |
−0.628847 | + | 0.777529i | \(0.716473\pi\) | |||||||
\(762\) | −12.6418 | + | 26.1719i | −0.457964 | + | 0.948106i | ||||
\(763\) | 9.22018 | − | 10.9882i | 0.333793 | − | 0.397799i | ||||
\(764\) | −24.6490 | + | 8.32917i | −0.891769 | + | 0.301339i | ||||
\(765\) | 25.7055 | − | 30.3812i | 0.929385 | − | 1.09844i | ||||
\(766\) | 7.22808 | + | 43.9692i | 0.261161 | + | 1.58867i | ||||
\(767\) | 0.206290 | − | 1.16993i | 0.00744870 | − | 0.0422437i | ||||
\(768\) | −0.210171 | + | 27.7120i | −0.00758389 | + | 0.999971i | ||||
\(769\) | 42.0679 | + | 15.3115i | 1.51701 | + | 0.552146i | 0.960399 | − | 0.278629i | \(-0.0898800\pi\) |
0.556609 | + | 0.830775i | \(0.312102\pi\) | |||||||
\(770\) | −17.1134 | − | 14.7015i | −0.616723 | − | 0.529804i | ||||
\(771\) | 7.23955 | + | 1.95572i | 0.260726 | + | 0.0704336i | ||||
\(772\) | 31.4544 | − | 25.1733i | 1.13207 | − | 0.906008i | ||||
\(773\) | 17.6939 | − | 10.2156i | 0.636407 | − | 0.367430i | −0.146822 | − | 0.989163i | \(-0.546904\pi\) |
0.783229 | + | 0.621733i | \(0.213571\pi\) | |||||||
\(774\) | −4.07111 | − | 0.0638967i | −0.146333 | − | 0.00229672i | ||||
\(775\) | 41.9236 | + | 24.2046i | 1.50594 | + | 0.869456i | ||||
\(776\) | −9.57116 | + | 45.0521i | −0.343585 | + | 1.61727i | ||||
\(777\) | 0.870207 | − | 9.71741i | 0.0312185 | − | 0.348610i | ||||
\(778\) | 26.3930 | + | 4.97014i | 0.946234 | + | 0.178188i | ||||
\(779\) | −8.19610 | + | 6.87735i | −0.293656 | + | 0.246407i | ||||
\(780\) | −0.483211 | + | 4.27653i | −0.0173017 | + | 0.153124i | ||||
\(781\) | 62.6793 | − | 22.8134i | 2.24284 | − | 0.816327i | ||||
\(782\) | −4.70554 | + | 12.4761i | −0.168270 | + | 0.446145i | ||||
\(783\) | 9.97495 | − | 6.89365i | 0.356475 | − | 0.246359i | ||||
\(784\) | −0.511123 | − | 3.96721i | −0.0182544 | − | 0.141686i | ||||
\(785\) | −6.90193 | − | 18.9629i | −0.246340 | − | 0.676815i | ||||
\(786\) | −21.4827 | − | 22.0772i | −0.766263 | − | 0.787469i | ||||
\(787\) | −11.8029 | − | 14.0661i | −0.420727 | − | 0.501402i | 0.513496 | − | 0.858092i | \(-0.328350\pi\) |
−0.934223 | + | 0.356689i | \(0.883905\pi\) | |||||||
\(788\) | −22.7756 | − | 13.8637i | −0.811346 | − | 0.493875i | ||||
\(789\) | 9.29926 | − | 13.2230i | 0.331062 | − | 0.470753i | ||||
\(790\) | 0.370174 | + | 0.658690i | 0.0131702 | + | 0.0234352i | ||||
\(791\) | −0.597982 | + | 1.03573i | −0.0212618 | + | 0.0368265i | ||||
\(792\) | 1.67490 | − | 43.0406i | 0.0595150 | − | 1.52938i | ||||
\(793\) | 2.15667 | + | 3.73547i | 0.0765857 | + | 0.132650i | ||||
\(794\) | 20.9311 | − | 35.3016i | 0.742817 | − | 1.25281i | ||||
\(795\) | 28.4690 | − | 7.56583i | 1.00969 | − | 0.268332i | ||||
\(796\) | −39.2099 | + | 21.4407i | −1.38976 | + | 0.759946i | ||||
\(797\) | 9.56773 | − | 26.2871i | 0.338906 | − | 0.931138i | −0.646799 | − | 0.762660i | \(-0.723893\pi\) |
0.985706 | − | 0.168477i | \(-0.0538850\pi\) | |||||||
\(798\) | −4.58695 | − | 10.1978i | −0.162376 | − | 0.360999i | ||||
\(799\) | 9.61843 | + | 1.69599i | 0.340276 | + | 0.0599998i | ||||
\(800\) | −26.4258 | + | 7.91640i | −0.934292 | + | 0.279887i | ||||
\(801\) | −43.0625 | − | 15.8734i | −1.52154 | − | 0.560858i | ||||
\(802\) | 13.7433 | + | 16.7700i | 0.485294 | + | 0.592168i | ||||
\(803\) | −5.76987 | − | 4.84150i | −0.203614 | − | 0.170853i | ||||
\(804\) | 50.8892 | + | 15.0225i | 1.79472 | + | 0.529802i | ||||
\(805\) | 1.21897 | + | 6.91313i | 0.0429631 | + | 0.243656i | ||||
\(806\) | 1.83754 | + | 5.23682i | 0.0647245 | + | 0.184459i | ||||
\(807\) | −27.8018 | + | 2.37502i | −0.978670 | + | 0.0836045i | ||||
\(808\) | −22.2529 | + | 24.7196i | −0.782854 | + | 0.869631i | ||||
\(809\) | − | 30.9338i | − | 1.08758i | −0.839223 | − | 0.543788i | \(-0.816990\pi\) | ||
0.839223 | − | 0.543788i | \(-0.183010\pi\) | |||||||
\(810\) | 35.0300 | − | 19.3107i | 1.23083 | − | 0.678509i | ||||
\(811\) | − | 6.22420i | − | 0.218561i | −0.994011 | − | 0.109281i | \(-0.965145\pi\) | ||
0.994011 | − | 0.109281i | \(-0.0348547\pi\) | |||||||
\(812\) | 4.34735 | + | 1.69752i | 0.152562 | + | 0.0595714i | ||||
\(813\) | −27.6656 | + | 2.36338i | −0.970273 | + | 0.0828872i | ||||
\(814\) | 38.1563 | − | 13.3886i | 1.33738 | − | 0.469270i | ||||
\(815\) | −11.7891 | − | 66.8594i | −0.412955 | − | 2.34198i | ||||
\(816\) | 15.5942 | + | 24.7400i | 0.545905 | + | 0.866074i | ||||
\(817\) | −3.35602 | − | 2.81604i | −0.117412 | − | 0.0985207i | ||||
\(818\) | 31.3317 | − | 25.6770i | 1.09549 | − | 0.897776i | ||||
\(819\) | 0.911619 | − | 0.758602i | 0.0318546 | − | 0.0265077i | ||||
\(820\) | 2.89396 | − | 14.4444i | 0.101062 | − | 0.504420i | ||||
\(821\) | −12.5330 | − | 2.20991i | −0.437406 | − | 0.0771265i | −0.0493911 | − | 0.998780i | \(-0.515728\pi\) |
−0.388015 | + | 0.921653i | \(0.626839\pi\) | |||||||
\(822\) | −0.545233 | + | 0.245244i | −0.0190172 | + | 0.00855387i | ||||
\(823\) | −4.65653 | + | 12.7937i | −0.162316 | + | 0.445960i | −0.994012 | − | 0.109271i | \(-0.965148\pi\) |
0.831696 | + | 0.555232i | \(0.187370\pi\) | |||||||
\(824\) | −42.4005 | + | 5.96355i | −1.47709 | + | 0.207750i | ||||
\(825\) | 41.4379 | − | 11.0124i | 1.44268 | − | 0.383402i | ||||
\(826\) | −3.65555 | − | 2.16746i | −0.127193 | − | 0.0754155i | ||||
\(827\) | 16.9113 | + | 29.2912i | 0.588062 | + | 1.01855i | 0.994486 | + | 0.104869i | \(0.0334424\pi\) |
−0.406424 | + | 0.913685i | \(0.633224\pi\) | |||||||
\(828\) | −8.89165 | + | 10.0276i | −0.309006 | + | 0.348485i | ||||
\(829\) | −5.97371 | + | 10.3468i | −0.207475 | + | 0.359358i | −0.950919 | − | 0.309441i | \(-0.899858\pi\) |
0.743443 | + | 0.668799i | \(0.233191\pi\) | |||||||
\(830\) | 42.9338 | − | 24.1282i | 1.49026 | − | 0.837501i | ||||
\(831\) | 15.4883 | − | 22.0235i | 0.537282 | − | 0.763986i | ||||
\(832\) | −2.88944 | − | 1.28573i | −0.100173 | − | 0.0445748i | ||||
\(833\) | −2.71327 | − | 3.23354i | −0.0940091 | − | 0.112036i | ||||
\(834\) | −8.17494 | + | 7.95480i | −0.283075 | + | 0.275452i | ||||
\(835\) | −5.94564 | − | 16.3355i | −0.205757 | − | 0.565314i | ||||
\(836\) | 30.6062 | − | 34.8024i | 1.05854 | − | 1.20367i | ||||
\(837\) | 29.8449 | − | 42.0708i | 1.03159 | − | 1.45418i | ||||
\(838\) | −15.7538 | − | 5.94175i | −0.544204 | − | 0.205254i | ||||
\(839\) | −41.4114 | + | 15.0725i | −1.42968 | + | 0.520362i | −0.936840 | − | 0.349757i | \(-0.886264\pi\) |
−0.492842 | + | 0.870119i | \(0.664042\pi\) | |||||||
\(840\) | 13.7044 | + | 7.01627i | 0.472846 | + | 0.242084i | ||||
\(841\) | 18.0440 | − | 15.1407i | 0.622206 | − | 0.522093i | ||||
\(842\) | −3.99449 | + | 21.2119i | −0.137659 | + | 0.731011i | ||||
\(843\) | 1.21286 | − | 13.5438i | 0.0417733 | − | 0.466472i | ||||
\(844\) | −54.8861 | + | 8.37001i | −1.88926 | + | 0.288108i | ||||
\(845\) | 34.9562 | + | 20.1820i | 1.20253 | + | 0.694281i | ||||
\(846\) | 8.42341 | + | 5.04114i | 0.289603 | + | 0.173318i | ||||
\(847\) | −12.7895 | + | 7.38404i | −0.439454 | + | 0.253719i | ||||
\(848\) | −1.00408 | + | 21.6232i | −0.0344802 | + | 0.742544i | ||||
\(849\) | 4.91261 | + | 1.32711i | 0.168601 | + | 0.0455464i | ||||
\(850\) | −18.9695 | + | 22.0816i | −0.650649 | + | 0.757393i | ||||
\(851\) | −11.8231 | − | 4.30325i | −0.405290 | − | 0.147513i | ||||
\(852\) | −37.9338 | + | 25.1587i | −1.29959 | + | 0.861923i | ||||
\(853\) | 0.404525 | − | 2.29417i | 0.0138507 | − | 0.0785510i | −0.977099 | − | 0.212786i | \(-0.931746\pi\) |
0.990950 | + | 0.134235i | \(0.0428576\pi\) | |||||||
\(854\) | 15.2260 | − | 2.50300i | 0.521024 | − | 0.0856509i | ||||
\(855\) | 42.3545 | + | 7.64713i | 1.44849 | + | 0.261526i | ||||
\(856\) | −0.414592 | − | 0.0144342i | −0.0141704 | − | 0.000493351i | ||||
\(857\) | 3.25613 | − | 3.88051i | 0.111227 | − | 0.132556i | −0.707558 | − | 0.706655i | \(-0.750203\pi\) |
0.818786 | + | 0.574099i | \(0.194648\pi\) | |||||||
\(858\) | 4.42621 | + | 2.13799i | 0.151108 | + | 0.0729898i | ||||
\(859\) | −3.74070 | + | 0.659586i | −0.127631 | + | 0.0225048i | −0.237099 | − | 0.971486i | \(-0.576196\pi\) |
0.109468 | + | 0.993990i | \(0.465085\pi\) | |||||||
\(860\) | 6.03040 | + | 0.139936i | 0.205635 | + | 0.00477178i | ||||
\(861\) | −3.33011 | + | 2.32163i | −0.113490 | + | 0.0791208i | ||||
\(862\) | −10.2089 | − | 0.118433i | −0.347715 | − | 0.00403384i | ||||
\(863\) | 54.7986 | 1.86537 | 0.932683 | − | 0.360697i | \(-0.117461\pi\) | ||||
0.932683 | + | 0.360697i | \(0.117461\pi\) | |||||||
\(864\) | 5.77215 | + | 28.8216i | 0.196372 | + | 0.980529i | ||||
\(865\) | 68.8064 | 2.33949 | ||||||||
\(866\) | 52.7090 | + | 0.611477i | 1.79113 | + | 0.0207788i | ||||
\(867\) | 1.28225 | + | 0.601121i | 0.0435475 | + | 0.0204151i | ||||
\(868\) | 19.8485 | + | 0.460585i | 0.673701 | + | 0.0156333i | ||||
\(869\) | 0.849875 | − | 0.149856i | 0.0288300 | − | 0.00508352i | ||||
\(870\) | −14.8540 | + | 10.1016i | −0.503597 | + | 0.342476i | ||||
\(871\) | −3.89223 | + | 4.63858i | −0.131883 | + | 0.157172i | ||||
\(872\) | −40.5466 | − | 1.41165i | −1.37308 | − | 0.0478044i | ||||
\(873\) | −0.199967 | + | 48.8510i | −0.00676787 | + | 1.65335i | ||||
\(874\) | −14.2294 | + | 2.33916i | −0.481316 | + | 0.0791234i | ||||
\(875\) | 0.0673575 | − | 0.382003i | 0.00227710 | − | 0.0129141i | ||||
\(876\) | 4.60208 | + | 2.28916i | 0.155490 | + | 0.0773435i | ||||
\(877\) | 3.41604 | + | 1.24334i | 0.115352 | + | 0.0419845i | 0.399051 | − | 0.916929i | \(-0.369340\pi\) |
−0.283700 | + | 0.958913i | \(0.591562\pi\) | |||||||
\(878\) | 8.34419 | − | 9.71313i | 0.281603 | − | 0.327802i | ||||
\(879\) | −0.866100 | + | 0.862562i | −0.0292128 | + | 0.0290935i | ||||
\(880\) | −2.95995 | + | 63.7436i | −0.0997798 | + | 2.14880i | ||||
\(881\) | −30.4693 | + | 17.5914i | −1.02654 | + | 0.592671i | −0.915990 | − | 0.401200i | \(-0.868593\pi\) |
−0.110545 | + | 0.993871i | \(0.535260\pi\) | |||||||
\(882\) | −1.38832 | − | 4.00906i | −0.0467473 | − | 0.134992i | ||||
\(883\) | −16.2975 | − | 9.40934i | −0.548453 | − | 0.316649i | 0.200045 | − | 0.979787i | \(-0.435891\pi\) |
−0.748498 | + | 0.663137i | \(0.769225\pi\) | |||||||
\(884\) | −3.29925 | + | 0.503129i | −0.110966 | + | 0.0169221i | ||||
\(885\) | 14.8391 | − | 6.88265i | 0.498811 | − | 0.231358i | ||||
\(886\) | 0.0391412 | − | 0.207851i | 0.00131497 | − | 0.00698291i | ||||
\(887\) | −27.4961 | + | 23.0720i | −0.923229 | + | 0.774681i | −0.974589 | − | 0.223999i | \(-0.928089\pi\) |
0.0513600 | + | 0.998680i | \(0.483644\pi\) | |||||||
\(888\) | −23.1722 | + | 14.9843i | −0.777609 | + | 0.502841i | ||||
\(889\) | −11.1502 | + | 4.05834i | −0.373965 | + | 0.136112i | ||||
\(890\) | 63.6180 | + | 23.9944i | 2.13248 | + | 0.804294i | ||||
\(891\) | −7.56470 | − | 45.0554i | −0.253427 | − | 1.50941i | ||||
\(892\) | −12.6876 | + | 14.4271i | −0.424812 | + | 0.483055i | ||||
\(893\) | 3.61260 | + | 9.92555i | 0.120891 | + | 0.332146i | ||||
\(894\) | −15.1819 | − | 4.29087i | −0.507758 | − | 0.143508i | ||||
\(895\) | 13.1459 | + | 15.6667i | 0.439420 | + | 0.523680i | ||||
\(896\) | −7.95135 | + | 8.04836i | −0.265636 | + | 0.268877i | ||||
\(897\) | −0.643533 | − | 1.38747i | −0.0214869 | − | 0.0463262i | ||||
\(898\) | −12.4507 | + | 6.99709i | −0.415484 | + | 0.233496i | ||||
\(899\) | −11.5822 | + | 20.0610i | −0.386290 | + | 0.669073i | ||||
\(900\) | −25.7292 | + | 13.9327i | −0.857641 | + | 0.464424i | ||||
\(901\) | 11.4215 | + | 19.7826i | 0.380505 | + | 0.659054i | ||||
\(902\) | −14.4728 | − | 8.58123i | −0.481890 | − | 0.285724i | ||||
\(903\) | −1.17296 | − | 1.17778i | −0.0390338 | − | 0.0391939i | ||||
\(904\) | 3.34972 | − | 0.471132i | 0.111410 | − | 0.0156696i | ||||
\(905\) | 13.0676 | − | 35.9028i | 0.434380 | − | 1.19345i | ||||
\(906\) | 4.57589 | − | 45.1906i | 0.152024 | − | 1.50136i | ||||
\(907\) | 16.4919 | + | 2.90797i | 0.547605 | + | 0.0965575i | 0.440604 | − | 0.897701i | \(-0.354764\pi\) |
0.107001 | + | 0.994259i | \(0.465875\pi\) | |||||||
\(908\) | 2.79372 | − | 13.9441i | 0.0927128 | − | 0.462750i | ||||
\(909\) | −17.7638 | + | 30.4791i | −0.589190 | + | 1.01093i | ||||
\(910\) | −1.35895 | + | 1.11369i | −0.0450487 | + | 0.0369183i | ||||
\(911\) | −5.26224 | − | 4.41554i | −0.174346 | − | 0.146294i | 0.551439 | − | 0.834215i | \(-0.314079\pi\) |
−0.725785 | + | 0.687922i | \(0.758523\pi\) | |||||||
\(912\) | −14.7388 | + | 27.9831i | −0.488049 | + | 0.926612i | ||||
\(913\) | −9.76770 | − | 55.3954i | −0.323264 | − | 1.83332i | ||||
\(914\) | 37.0134 | − | 12.9875i | 1.22429 | − | 0.429589i | ||||
\(915\) | −25.2101 | + | 53.7756i | −0.833421 | + | 1.77777i | ||||
\(916\) | 10.1615 | + | 3.96781i | 0.335747 | + | 0.131100i | ||||
\(917\) | − | 12.5758i | − | 0.415291i | ||||||
\(918\) | 21.5409 | + | 22.3191i | 0.710956 | + | 0.736639i | ||||
\(919\) | − | 32.1421i | − | 1.06027i | −0.847914 | − | 0.530134i | \(-0.822141\pi\) | ||
0.847914 | − | 0.530134i | \(-0.177859\pi\) | |||||||
\(920\) | 13.2840 | − | 14.7565i | 0.437960 | − | 0.486507i | ||||
\(921\) | −1.73935 | − | 2.49490i | −0.0573135 | − | 0.0822098i | ||||
\(922\) | −3.57384 | − | 10.1851i | −0.117698 | − | 0.335429i | ||||
\(923\) | −0.902028 | − | 5.11566i | −0.0296906 | − | 0.168384i | ||||
\(924\) | 12.7441 | − | 12.1163i | 0.419250 | − | 0.398597i | ||||
\(925\) | −21.0423 | − | 17.6566i | −0.691866 | − | 0.580544i | ||||
\(926\) | 8.47577 | + | 10.3423i | 0.278531 | + | 0.339871i | ||||
\(927\) | −42.7396 | + | 15.3581i | −1.40375 | + | 0.504426i | ||||
\(928\) | −3.78811 | − | 12.6451i | −0.124351 | − | 0.415096i | ||||
\(929\) | −14.8524 | − | 2.61887i | −0.487291 | − | 0.0859225i | −0.0753954 | − | 0.997154i | \(-0.524022\pi\) |
−0.411895 | + | 0.911231i | \(0.635133\pi\) | |||||||
\(930\) | −44.6814 | + | 61.9935i | −1.46516 | + | 2.03285i | ||||
\(931\) | 1.56132 | − | 4.28970i | 0.0511703 | − | 0.140589i | ||||
\(932\) | 19.9688 | − | 10.9193i | 0.654101 | − | 0.357675i | ||||
\(933\) | −9.24330 | + | 34.2162i | −0.302612 | + | 1.12019i | ||||
\(934\) | 0.267225 | − | 0.450691i | 0.00874386 | − | 0.0147470i | ||||
\(935\) | 33.6697 | + | 58.3176i | 1.10112 | + | 1.90719i | ||||
\(936\) | −3.27832 | − | 0.710506i | −0.107155 | − | 0.0232236i | ||||
\(937\) | 7.52811 | − | 13.0391i | 0.245933 | − | 0.425968i | −0.716461 | − | 0.697627i | \(-0.754239\pi\) |
0.962393 | + | 0.271659i | \(0.0875724\pi\) | |||||||
\(938\) | 10.6125 | + | 18.8840i | 0.346511 | + | 0.616584i | ||||
\(939\) | −0.777005 | − | 0.0695819i | −0.0253566 | − | 0.00227072i | ||||
\(940\) | −12.4227 | − | 7.56184i | −0.405185 | − | 0.246640i | ||||
\(941\) | 2.65428 | + | 3.16325i | 0.0865270 | + | 0.103119i | 0.807571 | − | 0.589771i | \(-0.200782\pi\) |
−0.721044 | + | 0.692889i | \(0.756337\pi\) | |||||||
\(942\) | 15.2468 | − | 3.86316i | 0.496769 | − | 0.125869i | ||||
\(943\) | 1.79054 | + | 4.91947i | 0.0583081 | + | 0.160200i | ||||
\(944\) | 1.53596 | + | 11.9218i | 0.0499913 | + | 0.388020i | ||||
\(945\) | 15.7473 | + | 4.32327i | 0.512259 | + | 0.140636i | ||||
\(946\) | 2.43128 | − | 6.44622i | 0.0790478 | − | 0.209585i | ||||
\(947\) | −7.79817 | + | 2.83830i | −0.253407 | + | 0.0922324i | −0.465600 | − | 0.884995i | \(-0.654161\pi\) |
0.212194 | + | 0.977228i | \(0.431939\pi\) | |||||||
\(948\) | −0.539852 | + | 0.235333i | −0.0175336 | + | 0.00764326i | ||||
\(949\) | −0.449343 | + | 0.377043i | −0.0145863 | + | 0.0122393i | ||||
\(950\) | −30.9388 | − | 5.82618i | −1.00379 | − | 0.189026i | ||||
\(951\) | −29.0251 | − | 20.4122i | −0.941203 | − | 0.661912i | ||||
\(952\) | −2.48104 | + | 11.6784i | −0.0804110 | + | 0.378500i | ||||
\(953\) | −4.05358 | − | 2.34033i | −0.131308 | − | 0.0758108i | 0.432907 | − | 0.901439i | \(-0.357488\pi\) |
−0.564215 | + | 0.825628i | \(0.690821\pi\) | |||||||
\(954\) | 3.63156 | + | 22.6706i | 0.117576 | + | 0.733986i | ||||
\(955\) | 35.4064 | − | 20.4419i | 1.14572 | − | 0.661484i | ||||
\(956\) | 27.0608 | − | 21.6571i | 0.875208 | − | 0.700439i | ||||
\(957\) | 5.26958 | + | 19.8286i | 0.170341 | + | 0.640967i | ||||
\(958\) | 28.9980 | + | 24.9111i | 0.936884 | + | 0.804843i | ||||
\(959\) | −0.229352 | − | 0.0834772i | −0.00740615 | − | 0.00269562i | ||||
\(960\) | −8.23056 | − | 42.7617i | −0.265640 | − | 1.38013i | ||||
\(961\) | −11.7288 | + | 66.5172i | −0.378348 | + | 2.14572i | ||||
\(962\) | −0.510830 | − | 3.10743i | −0.0164698 | − | 0.100188i | ||||
\(963\) | −0.433632 | + | 0.0746320i | −0.0139736 | + | 0.00240498i | ||||
\(964\) | 40.4756 | − | 13.6772i | 1.30363 | − | 0.440512i | ||||
\(965\) | −40.6921 | + | 48.4950i | −1.30993 | + | 1.56111i | ||||
\(966\) | −5.45655 | + | 0.402435i | −0.175562 | + | 0.0129481i | ||||
\(967\) | 32.0027 | − | 5.64293i | 1.02914 | − | 0.181464i | 0.366509 | − | 0.930414i | \(-0.380553\pi\) |
0.662627 | + | 0.748950i | \(0.269442\pi\) | |||||||
\(968\) | 38.7305 | + | 15.6434i | 1.24485 | + | 0.502798i | ||||
\(969\) | 2.84080 | + | 33.2543i | 0.0912597 | + | 1.06828i | ||||
\(970\) | 0.839536 | − | 72.3677i | 0.0269559 | − | 2.32359i | ||||
\(971\) | 10.3035 | 0.330656 | 0.165328 | − | 0.986239i | \(-0.447132\pi\) | ||||
0.165328 | + | 0.986239i | \(0.447132\pi\) | |||||||
\(972\) | 12.2240 | + | 28.6805i | 0.392086 | + | 0.919929i | ||||
\(973\) | −4.65669 | −0.149287 | ||||||||
\(974\) | −0.270981 | + | 23.3584i | −0.00868278 | + | 0.748452i | ||||
\(975\) | −0.284212 | − | 3.32697i | −0.00910207 | − | 0.106548i | ||||
\(976\) | −32.0958 | − | 29.5742i | −1.02736 | − | 0.946648i | ||||
\(977\) | −16.6437 | + | 2.93474i | −0.532480 | + | 0.0938906i | −0.433422 | − | 0.901191i | \(-0.642694\pi\) |
−0.0990581 | + | 0.995082i | \(0.531583\pi\) | |||||||
\(978\) | 52.7723 | − | 3.89209i | 1.68747 | − | 0.124455i | ||||
\(979\) | 49.9174 | − | 59.4892i | 1.59537 | − | 1.90128i | ||||
\(980\) | 2.01214 | + | 5.95463i | 0.0642753 | + | 0.190214i | ||||
\(981\) | −42.4086 | + | 7.29892i | −1.35400 | + | 0.233037i | ||||
\(982\) | −4.05550 | − | 24.6701i | −0.129416 | − | 0.787253i | ||||
\(983\) | 2.18509 | − | 12.3923i | 0.0696936 | − | 0.395252i | −0.929928 | − | 0.367742i | \(-0.880131\pi\) |
0.999622 | − | 0.0275101i | \(-0.00875786\pi\) | |||||||
\(984\) | 10.9738 | + | 3.37833i | 0.349831 | + | 0.107697i | ||||
\(985\) | 39.3706 | + | 14.3297i | 1.25445 | + | 0.456583i | ||||
\(986\) | −10.5664 | − | 9.07717i | −0.336501 | − | 0.289076i | ||||
\(987\) | 1.02933 | + | 3.87320i | 0.0327639 | + | 0.123285i | ||||
\(988\) | −2.25525 | − | 2.81797i | −0.0717491 | − | 0.0896514i | ||||
\(989\) | −1.85644 | + | 1.07182i | −0.0590314 | + | 0.0340818i | ||||
\(990\) | 10.7056 | + | 66.8311i | 0.340246 | + | 2.12403i | ||||
\(991\) | 7.25472 | + | 4.18851i | 0.230454 | + | 0.133052i | 0.610781 | − | 0.791799i | \(-0.290855\pi\) |
−0.380328 | + | 0.924852i | \(0.624189\pi\) | |||||||
\(992\) | −33.5414 | − | 45.0374i | −1.06494 | − | 1.42994i | ||||
\(993\) | 45.0232 | + | 31.6631i | 1.42877 | + | 1.00480i | ||||
\(994\) | −18.2619 | − | 3.43895i | −0.579231 | − | 0.109077i | ||||
\(995\) | 53.7934 | − | 45.1380i | 1.70537 | − | 1.43097i | ||||
\(996\) | 15.3392 | + | 35.1879i | 0.486040 | + | 1.11497i | ||||
\(997\) | −42.7763 | + | 15.5693i | −1.35474 | + | 0.493085i | −0.914424 | − | 0.404759i | \(-0.867356\pi\) |
−0.440315 | + | 0.897843i | \(0.645133\pi\) | |||||||
\(998\) | 3.03741 | − | 8.05330i | 0.0961477 | − | 0.254923i | ||||
\(999\) | −20.8229 | + | 20.5688i | −0.658808 | + | 0.650767i |
(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 | 756.2.cf.a.155.2 | ✓ | 648 | |
4.3 | odd | 2 | inner | 756.2.cf.a.155.83 | yes | 648 | |
27.23 | odd | 18 | inner | 756.2.cf.a.239.83 | yes | 648 | |
108.23 | even | 18 | inner | 756.2.cf.a.239.2 | yes | 648 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
756.2.cf.a.155.2 | ✓ | 648 | 1.1 | even | 1 | trivial | |
756.2.cf.a.155.83 | yes | 648 | 4.3 | odd | 2 | inner | |
756.2.cf.a.239.2 | yes | 648 | 108.23 | even | 18 | inner | |
756.2.cf.a.239.83 | yes | 648 | 27.23 | odd | 18 | inner |