Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [648,2,Mod(11,648)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(648, base_ring=CyclotomicField(54))
chi = DirichletCharacter(H, H._module([27, 27, 13]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("648.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 648 = 2^{3} \cdot 3^{4} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 648.bb (of order \(54\), degree \(18\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(5.17430605098\) |
Analytic rank: | \(0\) |
Dimension: | \(1872\) |
Relative dimension: | \(104\) over \(\Q(\zeta_{54})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{54}]$ |
Embedding invariants
Embedding label | 155.32 | ||
Character | \(\chi\) | \(=\) | 648.155 |
Dual form | 648.2.bb.b.347.32 |
$q$-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 \(\left(\mathbb{Z}/648\mathbb{Z}\right)^\times\).
\(n\) | \(325\) | \(487\) | \(569\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{43}{54}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.847711 | − | 1.13198i | −0.599422 | − | 0.800433i | ||||
\(3\) | −0.462016 | − | 1.66929i | −0.266745 | − | 0.963767i | ||||
\(4\) | −0.562773 | + | 1.91919i | −0.281386 | + | 0.959595i | ||||
\(5\) | 0.539140 | − | 0.354598i | 0.241111 | − | 0.158581i | −0.423203 | − | 0.906035i | \(-0.639094\pi\) |
0.664314 | + | 0.747454i | \(0.268724\pi\) | |||||||
\(6\) | −1.49796 | + | 1.93807i | −0.611538 | + | 0.791215i | ||||
\(7\) | 0.568211 | + | 0.536080i | 0.214764 | + | 0.202619i | 0.786104 | − | 0.618094i | \(-0.212095\pi\) |
−0.571340 | + | 0.820713i | \(0.693576\pi\) | |||||||
\(8\) | 2.64956 | − | 0.989868i | 0.936760 | − | 0.349971i | ||||
\(9\) | −2.57308 | + | 1.54248i | −0.857694 | + | 0.514160i | ||||
\(10\) | −0.858434 | − | 0.309701i | −0.271461 | − | 0.0979360i | ||||
\(11\) | 2.27674 | + | 4.53337i | 0.686464 | + | 1.36686i | 0.918994 | + | 0.394273i | \(0.129003\pi\) |
−0.232530 | + | 0.972589i | \(0.574700\pi\) | |||||||
\(12\) | 3.46370 | + | 0.0527369i | 0.999884 | + | 0.0152238i | ||||
\(13\) | 2.07031 | − | 0.893043i | 0.574200 | − | 0.247686i | −0.0891211 | − | 0.996021i | \(-0.528406\pi\) |
0.663321 | + | 0.748335i | \(0.269147\pi\) | |||||||
\(14\) | 0.125154 | − | 1.09765i | 0.0334489 | − | 0.293358i | ||||
\(15\) | −0.841019 | − | 0.736153i | −0.217150 | − | 0.190074i | ||||
\(16\) | −3.36657 | − | 2.16013i | −0.841643 | − | 0.540034i | ||||
\(17\) | 3.54620 | + | 4.22620i | 0.860080 | + | 1.02500i | 0.999396 | + | 0.0347552i | \(0.0110651\pi\) |
−0.139316 | + | 0.990248i | \(0.544490\pi\) | |||||||
\(18\) | 3.92729 | + | 1.60511i | 0.925672 | + | 0.378328i | ||||
\(19\) | −0.124773 | − | 0.104697i | −0.0286250 | − | 0.0240192i | 0.628363 | − | 0.777920i | \(-0.283725\pi\) |
−0.656988 | + | 0.753901i | \(0.728170\pi\) | |||||||
\(20\) | 0.377127 | + | 1.23427i | 0.0843282 | + | 0.275991i | ||||
\(21\) | 0.632352 | − | 1.19619i | 0.137990 | − | 0.261030i | ||||
\(22\) | 3.20168 | − | 6.42022i | 0.682600 | − | 1.36880i | ||||
\(23\) | 1.52742 | + | 1.61897i | 0.318488 | + | 0.337578i | 0.866763 | − | 0.498721i | \(-0.166197\pi\) |
−0.548275 | + | 0.836298i | \(0.684715\pi\) | |||||||
\(24\) | −2.87652 | − | 3.96556i | −0.587167 | − | 0.809466i | ||||
\(25\) | −1.81547 | + | 4.20872i | −0.363093 | + | 0.841745i | ||||
\(26\) | −2.76593 | − | 1.58651i | −0.542444 | − | 0.311140i | ||||
\(27\) | 3.76366 | + | 3.58258i | 0.724316 | + | 0.689468i | ||||
\(28\) | −1.34861 | + | 0.788814i | −0.254864 | + | 0.149072i | ||||
\(29\) | 8.67805 | − | 1.01432i | 1.61147 | − | 0.188354i | 0.737852 | − | 0.674962i | \(-0.235840\pi\) |
0.873620 | + | 0.486608i | \(0.161766\pi\) | |||||||
\(30\) | −0.120372 | + | 1.57606i | −0.0219768 | + | 0.287749i | ||||
\(31\) | −1.62986 | − | 6.87692i | −0.292731 | − | 1.23513i | −0.898316 | − | 0.439350i | \(-0.855209\pi\) |
0.605585 | − | 0.795781i | \(-0.292939\pi\) | |||||||
\(32\) | 0.408645 | + | 5.64207i | 0.0722389 | + | 0.997387i | ||||
\(33\) | 6.51563 | − | 5.89504i | 1.13423 | − | 1.02619i | ||||
\(34\) | 1.77783 | − | 7.59683i | 0.304896 | − | 1.30285i | ||||
\(35\) | 0.496438 | + | 0.0875354i | 0.0839133 | + | 0.0147962i | ||||
\(36\) | −1.51225 | − | 5.80630i | −0.252042 | − | 0.967716i | ||||
\(37\) | −3.35892 | + | 0.592269i | −0.552204 | + | 0.0973684i | −0.442786 | − | 0.896627i | \(-0.646010\pi\) |
−0.109418 | + | 0.993996i | \(0.534899\pi\) | |||||||
\(38\) | −0.0127438 | + | 0.229994i | −0.00206732 | + | 0.0373100i | ||||
\(39\) | −2.44727 | − | 3.04335i | −0.391876 | − | 0.487326i | ||||
\(40\) | 1.07748 | − | 1.47321i | 0.170364 | − | 0.232934i | ||||
\(41\) | 2.81315 | + | 2.09432i | 0.439341 | + | 0.327077i | 0.793999 | − | 0.607919i | \(-0.207995\pi\) |
−0.354658 | + | 0.934996i | \(0.615403\pi\) | |||||||
\(42\) | −1.89012 | + | 0.298211i | −0.291651 | + | 0.0460149i | ||||
\(43\) | −0.158674 | + | 2.72433i | −0.0241976 | + | 0.415457i | 0.964358 | + | 0.264601i | \(0.0852402\pi\) |
−0.988556 | + | 0.150856i | \(0.951797\pi\) | |||||||
\(44\) | −9.98168 | + | 1.81824i | −1.50479 | + | 0.274111i | ||||
\(45\) | −0.840291 | + | 1.74402i | −0.125263 | + | 0.259983i | ||||
\(46\) | 0.537836 | − | 3.10142i | 0.0792996 | − | 0.457280i | ||||
\(47\) | −10.9555 | − | 2.59650i | −1.59802 | − | 0.378738i | −0.667394 | − | 0.744705i | \(-0.732590\pi\) |
−0.930628 | + | 0.365966i | \(0.880739\pi\) | |||||||
\(48\) | −2.05049 | + | 6.61782i | −0.295962 | + | 0.955200i | ||||
\(49\) | −0.371531 | − | 6.37894i | −0.0530759 | − | 0.911278i | ||||
\(50\) | 6.30320 | − | 1.51270i | 0.891407 | − | 0.213929i | ||||
\(51\) | 5.41636 | − | 7.87222i | 0.758442 | − | 1.10233i | ||||
\(52\) | 0.548807 | + | 4.47589i | 0.0761058 | + | 0.620694i | ||||
\(53\) | 4.44472 | + | 7.69848i | 0.610529 | + | 1.05747i | 0.991151 | + | 0.132737i | \(0.0423765\pi\) |
−0.380622 | + | 0.924731i | \(0.624290\pi\) | |||||||
\(54\) | 0.864927 | − | 7.29739i | 0.117702 | − | 0.993049i | ||||
\(55\) | 2.83501 | + | 1.63679i | 0.382272 | + | 0.220705i | ||||
\(56\) | 2.03616 | + | 0.857920i | 0.272093 | + | 0.114644i | ||||
\(57\) | −0.117123 | + | 0.256655i | −0.0155133 | + | 0.0339948i | ||||
\(58\) | −8.50466 | − | 8.96355i | −1.11672 | − | 1.17697i | ||||
\(59\) | 4.04980 | − | 8.06382i | 0.527240 | − | 1.04982i | −0.459601 | − | 0.888125i | \(-0.652008\pi\) |
0.986841 | − | 0.161695i | \(-0.0516960\pi\) | |||||||
\(60\) | 1.88612 | − | 1.19979i | 0.243497 | − | 0.154892i | ||||
\(61\) | 14.6772 | − | 4.39406i | 1.87922 | − | 0.562602i | 0.883700 | − | 0.468054i | \(-0.155045\pi\) |
0.995520 | − | 0.0945474i | \(-0.0301404\pi\) | |||||||
\(62\) | −6.40290 | + | 7.67461i | −0.813170 | + | 0.974676i | ||||
\(63\) | −2.28895 | − | 0.502923i | −0.288380 | − | 0.0633623i | ||||
\(64\) | 6.04032 | − | 5.24543i | 0.755040 | − | 0.655678i | ||||
\(65\) | 0.799513 | − | 1.21560i | 0.0991674 | − | 0.150777i | ||||
\(66\) | −12.1965 | − | 2.37830i | −1.50128 | − | 0.292748i | ||||
\(67\) | −9.65253 | − | 1.12822i | −1.17924 | − | 0.137834i | −0.496198 | − | 0.868209i | \(-0.665271\pi\) |
−0.683046 | + | 0.730375i | \(0.739345\pi\) | |||||||
\(68\) | −10.1066 | + | 4.42744i | −1.22560 | + | 0.536906i | ||||
\(69\) | 1.99684 | − | 3.29769i | 0.240391 | − | 0.396996i | ||||
\(70\) | −0.321747 | − | 0.636164i | −0.0384562 | − | 0.0760362i | ||||
\(71\) | −10.2745 | − | 3.73963i | −1.21936 | − | 0.443812i | −0.349422 | − | 0.936966i | \(-0.613622\pi\) |
−0.869942 | + | 0.493153i | \(0.835844\pi\) | |||||||
\(72\) | −5.29068 | + | 6.63390i | −0.623513 | + | 0.781813i | ||||
\(73\) | −1.89260 | + | 0.688851i | −0.221512 | + | 0.0806239i | −0.450392 | − | 0.892831i | \(-0.648716\pi\) |
0.228880 | + | 0.973455i | \(0.426494\pi\) | |||||||
\(74\) | 3.51784 | + | 3.30017i | 0.408940 | + | 0.383637i | ||||
\(75\) | 7.86437 | + | 1.08605i | 0.908099 | + | 0.125406i | ||||
\(76\) | 0.271153 | − | 0.180543i | 0.0311034 | − | 0.0207097i | ||||
\(77\) | −1.13658 | + | 3.79643i | −0.129525 | + | 0.432643i | ||||
\(78\) | −1.37045 | + | 5.35014i | −0.155173 | + | 0.605784i | ||||
\(79\) | −0.407336 | + | 0.303251i | −0.0458289 | + | 0.0341184i | −0.619829 | − | 0.784737i | \(-0.712798\pi\) |
0.574000 | + | 0.818855i | \(0.305391\pi\) | |||||||
\(80\) | −2.58103 | + | 0.0291654i | −0.288568 | + | 0.00326079i | ||||
\(81\) | 4.24151 | − | 7.93786i | 0.471279 | − | 0.881984i | ||||
\(82\) | −0.0140108 | − | 4.95982i | −0.00154723 | − | 0.547720i | ||||
\(83\) | 0.385869 | − | 0.287269i | 0.0423546 | − | 0.0315318i | −0.575773 | − | 0.817609i | \(-0.695299\pi\) |
0.618128 | + | 0.786078i | \(0.287891\pi\) | |||||||
\(84\) | 1.93984 | + | 1.88679i | 0.211654 | + | 0.205865i | ||||
\(85\) | 3.41050 | + | 1.02104i | 0.369920 | + | 0.110747i | ||||
\(86\) | 3.21841 | − | 2.12983i | 0.347050 | − | 0.229666i | ||||
\(87\) | −5.70259 | − | 14.0176i | −0.611382 | − | 1.50284i | ||||
\(88\) | 10.5198 | + | 9.75775i | 1.12141 | + | 1.04018i | ||||
\(89\) | −3.27947 | − | 9.01027i | −0.347623 | − | 0.955086i | −0.983117 | − | 0.182980i | \(-0.941426\pi\) |
0.635494 | − | 0.772106i | \(-0.280797\pi\) | |||||||
\(90\) | 2.68653 | − | 0.527231i | 0.283185 | − | 0.0555750i | ||||
\(91\) | 1.65511 | + | 0.602412i | 0.173503 | + | 0.0631499i | ||||
\(92\) | −3.96669 | + | 2.02029i | −0.413556 | + | 0.210630i | ||||
\(93\) | −10.7266 | + | 5.89796i | −1.11229 | + | 0.611590i | ||||
\(94\) | 6.34789 | + | 14.6025i | 0.654735 | + | 1.50613i | ||||
\(95\) | −0.104396 | − | 0.0122021i | −0.0107108 | − | 0.00125191i | ||||
\(96\) | 9.22948 | − | 3.28888i | 0.941980 | − | 0.335670i | ||||
\(97\) | 8.36360 | + | 5.50082i | 0.849195 | + | 0.558524i | 0.897855 | − | 0.440291i | \(-0.145125\pi\) |
−0.0486604 | + | 0.998815i | \(0.515495\pi\) | |||||||
\(98\) | −6.90591 | + | 5.82807i | −0.697602 | + | 0.588724i | ||||
\(99\) | −12.8509 | − | 8.15290i | −1.29156 | − | 0.819397i | ||||
\(100\) | −7.05564 | − | 5.85278i | −0.705564 | − | 0.585278i | ||||
\(101\) | 3.75861 | + | 12.5546i | 0.373995 | + | 1.24923i | 0.913358 | + | 0.407158i | \(0.133480\pi\) |
−0.539362 | + | 0.842074i | \(0.681335\pi\) | |||||||
\(102\) | −13.5027 | + | 0.542134i | −1.33697 | + | 0.0536792i | ||||
\(103\) | 1.28050 | − | 2.54968i | 0.126171 | − | 0.251228i | −0.821674 | − | 0.569957i | \(-0.806960\pi\) |
0.947846 | + | 0.318729i | \(0.103256\pi\) | |||||||
\(104\) | 4.60140 | − | 4.41550i | 0.451205 | − | 0.432975i | ||||
\(105\) | −0.0832400 | − | 0.869144i | −0.00812339 | − | 0.0848197i | ||||
\(106\) | 4.94671 | − | 11.5574i | 0.480467 | − | 1.12256i | ||||
\(107\) | 13.2938 | + | 7.67519i | 1.28516 | + | 0.741989i | 0.977787 | − | 0.209600i | \(-0.0672160\pi\) |
0.307375 | + | 0.951588i | \(0.400549\pi\) | |||||||
\(108\) | −8.99373 | + | 5.20699i | −0.865422 | + | 0.501043i | ||||
\(109\) | −7.66290 | + | 4.42418i | −0.733973 | + | 0.423759i | −0.819874 | − | 0.572544i | \(-0.805956\pi\) |
0.0859012 | + | 0.996304i | \(0.472623\pi\) | |||||||
\(110\) | −0.550444 | − | 4.59670i | −0.0524828 | − | 0.438279i | ||||
\(111\) | 2.54055 | + | 5.33339i | 0.241138 | + | 0.506223i | ||||
\(112\) | −0.754921 | − | 3.03216i | −0.0713333 | − | 0.286513i | ||||
\(113\) | 10.7106 | − | 0.623823i | 1.00757 | − | 0.0586844i | 0.453588 | − | 0.891212i | \(-0.350144\pi\) |
0.553984 | + | 0.832527i | \(0.313107\pi\) | |||||||
\(114\) | 0.389816 | − | 0.0849878i | 0.0365096 | − | 0.00795984i | ||||
\(115\) | 1.39757 | + | 0.331231i | 0.130324 | + | 0.0308874i | ||||
\(116\) | −2.93710 | + | 17.2256i | −0.272703 | + | 1.59936i | ||||
\(117\) | −3.94957 | + | 5.49128i | −0.365138 | + | 0.507669i | ||||
\(118\) | −12.5612 | + | 2.25148i | −1.15635 | + | 0.207265i | ||||
\(119\) | −0.250587 | + | 4.30242i | −0.0229713 | + | 0.394402i | ||||
\(120\) | −2.95702 | − | 1.11798i | −0.269938 | − | 0.102057i | ||||
\(121\) | −8.79912 | + | 11.8193i | −0.799920 | + | 1.07448i | ||||
\(122\) | −17.4160 | − | 12.8894i | −1.57677 | − | 1.16695i | ||||
\(123\) | 2.19631 | − | 5.66359i | 0.198034 | − | 0.510669i | ||||
\(124\) | 14.1153 | + | 0.742132i | 1.26760 | + | 0.0666455i | ||||
\(125\) | 1.07389 | + | 6.09033i | 0.0960516 | + | 0.544736i | ||||
\(126\) | 1.37107 | + | 3.01738i | 0.122144 | + | 0.268810i | ||||
\(127\) | 7.23687 | + | 1.27606i | 0.642169 | + | 0.113232i | 0.485244 | − | 0.874379i | \(-0.338731\pi\) |
0.156925 | + | 0.987611i | \(0.449842\pi\) | |||||||
\(128\) | −11.0582 | − | 2.39094i | −0.977415 | − | 0.211331i | ||||
\(129\) | 4.62102 | − | 0.993812i | 0.406859 | − | 0.0875002i | ||||
\(130\) | −2.05380 | + | 0.125442i | −0.180130 | + | 0.0110020i | ||||
\(131\) | 2.77788 | + | 11.7208i | 0.242705 | + | 1.02405i | 0.948786 | + | 0.315921i | \(0.102313\pi\) |
−0.706081 | + | 0.708131i | \(0.749538\pi\) | |||||||
\(132\) | 7.64688 | + | 15.8223i | 0.665575 | + | 1.37715i | ||||
\(133\) | −0.0147715 | − | 0.126379i | −0.00128085 | − | 0.0109584i | ||||
\(134\) | 6.90543 | + | 11.8829i | 0.596538 | + | 1.02653i | ||||
\(135\) | 3.29951 | + | 0.596926i | 0.283977 | + | 0.0513753i | ||||
\(136\) | 13.5792 | + | 7.68728i | 1.16441 | + | 0.659179i | ||||
\(137\) | 8.09773 | + | 3.49302i | 0.691836 | + | 0.298429i | 0.712816 | − | 0.701351i | \(-0.247419\pi\) |
−0.0209802 | + | 0.999780i | \(0.506679\pi\) | |||||||
\(138\) | −5.42568 | + | 0.535101i | −0.461864 | + | 0.0455509i | ||||
\(139\) | −4.11256 | − | 4.35906i | −0.348823 | − | 0.369731i | 0.529078 | − | 0.848573i | \(-0.322538\pi\) |
−0.877901 | + | 0.478843i | \(0.841056\pi\) | |||||||
\(140\) | −0.447379 | + | 0.903496i | −0.0378104 | + | 0.0763593i | ||||
\(141\) | 0.727292 | + | 19.4876i | 0.0612490 | + | 1.64115i | ||||
\(142\) | 4.47665 | + | 14.8007i | 0.375672 | + | 1.24205i | ||||
\(143\) | 8.76205 | + | 7.35223i | 0.732719 | + | 0.614824i | ||||
\(144\) | 11.9944 | + | 0.365330i | 0.999536 | + | 0.0304441i | ||||
\(145\) | 4.31900 | − | 3.62408i | 0.358674 | − | 0.300963i | ||||
\(146\) | 2.38415 | + | 1.55845i | 0.197313 | + | 0.128978i | ||||
\(147\) | −10.4767 | + | 3.56737i | −0.864102 | + | 0.294232i | ||||
\(148\) | 0.753635 | − | 6.77972i | 0.0619484 | − | 0.557290i | ||||
\(149\) | −3.63150 | − | 8.41875i | −0.297504 | − | 0.689691i | 0.702249 | − | 0.711932i | \(-0.252179\pi\) |
−0.999753 | + | 0.0222403i | \(0.992920\pi\) | |||||||
\(150\) | −5.43732 | − | 9.82299i | −0.443956 | − | 0.802044i | ||||
\(151\) | 6.44346 | + | 12.8300i | 0.524362 | + | 1.04409i | 0.987473 | + | 0.157790i | \(0.0504368\pi\) |
−0.463111 | + | 0.886300i | \(0.653267\pi\) | |||||||
\(152\) | −0.434231 | − | 0.153892i | −0.0352208 | − | 0.0124823i | ||||
\(153\) | −15.6435 | − | 5.40441i | −1.26470 | − | 0.436920i | ||||
\(154\) | 5.26098 | − | 1.93169i | 0.423942 | − | 0.155660i | ||||
\(155\) | −3.31726 | − | 3.12967i | −0.266449 | − | 0.251381i | ||||
\(156\) | 7.21802 | − | 2.98405i | 0.577904 | − | 0.238915i | ||||
\(157\) | −9.57554 | − | 14.5589i | −0.764211 | − | 1.16193i | −0.982540 | − | 0.186051i | \(-0.940431\pi\) |
0.218329 | − | 0.975875i | \(-0.429939\pi\) | |||||||
\(158\) | 0.688578 | + | 0.204029i | 0.0547803 | + | 0.0162317i | ||||
\(159\) | 10.7975 | − | 10.9764i | 0.856297 | − | 0.870482i | ||||
\(160\) | 2.22098 | + | 2.89696i | 0.175584 | + | 0.229025i | ||||
\(161\) | 1.73873i | 0.137031i | ||||||||
\(162\) | −12.5811 | + | 1.92769i | −0.988464 | + | 0.151454i | ||||
\(163\) | 14.5932 | 1.14303 | 0.571513 | − | 0.820593i | \(-0.306357\pi\) | ||||
0.571513 | + | 0.820593i | \(0.306357\pi\) | |||||||
\(164\) | −5.60255 | + | 4.22035i | −0.437486 | + | 0.329554i | ||||
\(165\) | 1.42247 | − | 5.48868i | 0.110739 | − | 0.427293i | ||||
\(166\) | −0.652288 | − | 0.193276i | −0.0506274 | − | 0.0150011i | ||||
\(167\) | 1.19591 | − | 0.786562i | 0.0925422 | − | 0.0608660i | −0.502394 | − | 0.864639i | \(-0.667547\pi\) |
0.594937 | + | 0.803773i | \(0.297177\pi\) | |||||||
\(168\) | 0.491384 | − | 3.79532i | 0.0379111 | − | 0.292815i | ||||
\(169\) | −5.43250 | + | 5.75811i | −0.417885 | + | 0.442932i | ||||
\(170\) | −1.73532 | − | 4.72617i | −0.133093 | − | 0.362481i | ||||
\(171\) | 0.482545 | + | 0.0769342i | 0.0369012 | + | 0.00588331i | ||||
\(172\) | −5.13922 | − | 1.83771i | −0.391862 | − | 0.140124i | ||||
\(173\) | 0.838988 | − | 0.421356i | 0.0637871 | − | 0.0320351i | −0.416620 | − | 0.909081i | \(-0.636785\pi\) |
0.480407 | + | 0.877046i | \(0.340489\pi\) | |||||||
\(174\) | −11.0335 | + | 18.3381i | −0.836449 | + | 1.39021i | ||||
\(175\) | −3.28778 | + | 1.41821i | −0.248533 | + | 0.107207i | ||||
\(176\) | 2.12786 | − | 20.1800i | 0.160394 | − | 1.52112i | ||||
\(177\) | −15.3320 | − | 3.03470i | −1.15242 | − | 0.228102i | ||||
\(178\) | −7.41943 | + | 11.3504i | −0.556110 | + | 0.850749i | ||||
\(179\) | −0.321924 | − | 0.383654i | −0.0240617 | − | 0.0286756i | 0.753879 | − | 0.657013i | \(-0.228180\pi\) |
−0.777941 | + | 0.628337i | \(0.783736\pi\) | |||||||
\(180\) | −2.87422 | − | 2.59417i | −0.214231 | − | 0.193358i | ||||
\(181\) | −0.834188 | + | 0.994146i | −0.0620047 | + | 0.0738943i | −0.796155 | − | 0.605092i | \(-0.793136\pi\) |
0.734151 | + | 0.678987i | \(0.237581\pi\) | |||||||
\(182\) | −0.721137 | − | 2.38423i | −0.0534543 | − | 0.176731i | ||||
\(183\) | −14.1161 | − | 22.4704i | −1.04349 | − | 1.66106i | ||||
\(184\) | 5.64954 | + | 2.77761i | 0.416490 | + | 0.204768i | ||||
\(185\) | −1.60091 | + | 1.51038i | −0.117701 | + | 0.111046i | ||||
\(186\) | 15.7694 | + | 7.14254i | 1.15627 | + | 0.523716i | ||||
\(187\) | −11.0851 | + | 25.6982i | −0.810624 | + | 1.87924i | ||||
\(188\) | 11.1486 | − | 19.5644i | 0.813097 | − | 1.42688i | ||||
\(189\) | 0.218005 | + | 4.05328i | 0.0158575 | + | 0.294833i | ||||
\(190\) | 0.0746848 | + | 0.128518i | 0.00541820 | + | 0.00932368i | ||||
\(191\) | −16.2996 | + | 1.90515i | −1.17940 | + | 0.137852i | −0.683117 | − | 0.730309i | \(-0.739376\pi\) |
−0.496282 | + | 0.868161i | \(0.665302\pi\) | |||||||
\(192\) | −11.5469 | − | 7.65960i | −0.833325 | − | 0.552784i | ||||
\(193\) | −12.5111 | + | 2.96518i | −0.900567 | + | 0.213438i | −0.654721 | − | 0.755871i | \(-0.727214\pi\) |
−0.245846 | + | 0.969309i | \(0.579066\pi\) | |||||||
\(194\) | −0.863070 | − | 14.1306i | −0.0619648 | − | 1.01452i | ||||
\(195\) | −2.39858 | − | 0.772996i | −0.171766 | − | 0.0553554i | ||||
\(196\) | 12.4515 | + | 2.87686i | 0.889392 | + | 0.205490i | ||||
\(197\) | −2.37250 | + | 13.4551i | −0.169034 | + | 0.958637i | 0.775774 | + | 0.631011i | \(0.217360\pi\) |
−0.944808 | + | 0.327626i | \(0.893751\pi\) | |||||||
\(198\) | 1.66488 | + | 21.4583i | 0.118318 | + | 1.52497i | ||||
\(199\) | −12.8743 | + | 2.27009i | −0.912638 | + | 0.160923i | −0.610201 | − | 0.792247i | \(-0.708911\pi\) |
−0.302437 | + | 0.953169i | \(0.597800\pi\) | |||||||
\(200\) | −0.644103 | + | 12.9483i | −0.0455449 | + | 0.915586i | ||||
\(201\) | 2.57629 | + | 16.6342i | 0.181718 | + | 1.17328i | ||||
\(202\) | 11.0254 | − | 14.8974i | 0.775745 | − | 1.04818i | ||||
\(203\) | 5.47472 | + | 4.07578i | 0.384250 | + | 0.286063i | ||||
\(204\) | 12.0601 | + | 14.8253i | 0.844376 | + | 1.03798i | ||||
\(205\) | 2.25932 | + | 0.131591i | 0.157798 | + | 0.00919069i | ||||
\(206\) | −3.97169 | + | 0.711890i | −0.276721 | + | 0.0495997i | ||||
\(207\) | −6.42739 | − | 1.80972i | −0.446734 | − | 0.125785i | ||||
\(208\) | −8.89893 | − | 1.46564i | −0.617030 | − | 0.101624i | ||||
\(209\) | 0.190554 | − | 0.804012i | 0.0131809 | − | 0.0556147i | ||||
\(210\) | −0.913293 | + | 0.831009i | −0.0630232 | + | 0.0573451i | ||||
\(211\) | −0.0754386 | − | 1.29523i | −0.00519341 | − | 0.0891674i | 0.994715 | − | 0.102671i | \(-0.0327387\pi\) |
−0.999909 | + | 0.0135031i | \(0.995702\pi\) | |||||||
\(212\) | −17.2762 | + | 4.19776i | −1.18653 | + | 0.288304i | ||||
\(213\) | −1.49553 | + | 18.8790i | −0.102472 | + | 1.29357i | ||||
\(214\) | −2.58113 | − | 21.5547i | −0.176442 | − | 1.47345i | ||||
\(215\) | 0.880495 | + | 1.52506i | 0.0600493 | + | 0.104008i | ||||
\(216\) | 13.5183 | + | 5.76673i | 0.919805 | + | 0.392376i | ||||
\(217\) | 2.76047 | − | 4.78128i | 0.187393 | − | 0.324574i | ||||
\(218\) | 11.5040 | + | 4.92385i | 0.779150 | + | 0.333485i | ||||
\(219\) | 2.02431 | + | 2.84105i | 0.136790 | + | 0.191980i | ||||
\(220\) | −4.73677 | + | 4.51977i | −0.319353 | + | 0.304723i | ||||
\(221\) | 11.1159 | + | 5.58261i | 0.747736 | + | 0.375527i | ||||
\(222\) | 3.88366 | − | 7.39703i | 0.260654 | − | 0.496456i | ||||
\(223\) | −7.92796 | + | 2.37348i | −0.530896 | + | 0.158940i | −0.541021 | − | 0.841009i | \(-0.681962\pi\) |
0.0101254 | + | 0.999949i | \(0.496777\pi\) | |||||||
\(224\) | −2.79241 | + | 3.42496i | −0.186575 | + | 0.228840i | ||||
\(225\) | −1.82053 | − | 13.6297i | −0.121369 | − | 0.908648i | ||||
\(226\) | −9.78568 | − | 11.5954i | −0.650934 | − | 0.771317i | ||||
\(227\) | 4.49057 | − | 6.82757i | 0.298049 | − | 0.453162i | −0.655153 | − | 0.755497i | \(-0.727396\pi\) |
0.953202 | + | 0.302335i | \(0.0977660\pi\) | |||||||
\(228\) | −0.426656 | − | 0.369220i | −0.0282560 | − | 0.0244522i | ||||
\(229\) | 2.67831 | − | 22.9144i | 0.176988 | − | 1.51423i | −0.554392 | − | 0.832256i | \(-0.687049\pi\) |
0.731380 | − | 0.681971i | \(-0.238877\pi\) | |||||||
\(230\) | −0.809790 | − | 1.86282i | −0.0533959 | − | 0.122830i | ||||
\(231\) | 6.86247 | + | 0.143269i | 0.451517 | + | 0.00942639i | ||||
\(232\) | 21.9890 | − | 11.2776i | 1.44365 | − | 0.740412i | ||||
\(233\) | 1.13446 | − | 3.11690i | 0.0743208 | − | 0.204195i | −0.896969 | − | 0.442093i | \(-0.854236\pi\) |
0.971290 | + | 0.237898i | \(0.0764584\pi\) | |||||||
\(234\) | 9.56413 | − | 0.184173i | 0.625227 | − | 0.0120398i | ||||
\(235\) | −6.82725 | + | 2.48492i | −0.445361 | + | 0.162098i | ||||
\(236\) | 13.1969 | + | 12.3104i | 0.859044 | + | 0.801341i | ||||
\(237\) | 0.694410 | + | 0.539857i | 0.0451068 | + | 0.0350675i | ||||
\(238\) | 5.08269 | − | 3.36355i | 0.329462 | − | 0.218026i | ||||
\(239\) | 5.85276 | − | 19.5496i | 0.378584 | − | 1.26456i | −0.530408 | − | 0.847743i | \(-0.677961\pi\) |
0.908991 | − | 0.416815i | \(-0.136854\pi\) | |||||||
\(240\) | 1.24116 | + | 4.29503i | 0.0801168 | + | 0.277243i | ||||
\(241\) | −0.654766 | − | 0.879504i | −0.0421772 | − | 0.0566538i | 0.780534 | − | 0.625113i | \(-0.214947\pi\) |
−0.822711 | + | 0.568459i | \(0.807540\pi\) | |||||||
\(242\) | 20.8383 | − | 0.0588653i | 1.33954 | − | 0.00378401i | ||||
\(243\) | −15.2103 | − | 3.41291i | −0.975739 | − | 0.218938i | ||||
\(244\) | 0.173115 | + | 30.6411i | 0.0110826 | + | 1.96160i | ||||
\(245\) | −2.46227 | − | 3.30740i | −0.157308 | − | 0.211302i | ||||
\(246\) | −8.27292 | + | 2.31490i | −0.527462 | + | 0.147593i | ||||
\(247\) | −0.351818 | − | 0.105327i | −0.0223856 | − | 0.00670182i | ||||
\(248\) | −11.1256 | − | 16.6074i | −0.706479 | − | 1.05457i | ||||
\(249\) | −0.657813 | − | 0.511405i | −0.0416872 | − | 0.0324090i | ||||
\(250\) | 5.98381 | − | 6.37846i | 0.378449 | − | 0.403410i | ||||
\(251\) | −6.58589 | − | 18.0946i | −0.415697 | − | 1.14212i | −0.954115 | − | 0.299441i | \(-0.903200\pi\) |
0.538417 | − | 0.842678i | \(-0.319022\pi\) | |||||||
\(252\) | 2.25336 | − | 4.10989i | 0.141948 | − | 0.258899i | ||||
\(253\) | −3.86184 | + | 10.6103i | −0.242792 | + | 0.667064i | ||||
\(254\) | −4.69030 | − | 9.27375i | −0.294296 | − | 0.581887i | ||||
\(255\) | 0.128705 | − | 6.16486i | 0.00805980 | − | 0.386058i | ||||
\(256\) | 6.66764 | + | 14.5445i | 0.416727 | + | 0.909031i | ||||
\(257\) | −2.17333 | + | 18.5940i | −0.135569 | + | 1.15986i | 0.738566 | + | 0.674181i | \(0.235503\pi\) |
−0.874135 | + | 0.485683i | \(0.838571\pi\) | |||||||
\(258\) | −5.04227 | − | 4.38846i | −0.313918 | − | 0.273213i | ||||
\(259\) | −2.22608 | − | 1.46412i | −0.138322 | − | 0.0909758i | ||||
\(260\) | 1.88302 | + | 2.21852i | 0.116780 | + | 0.137587i | ||||
\(261\) | −20.7648 | + | 15.9956i | −1.28531 | + | 0.990105i | ||||
\(262\) | 10.9129 | − | 13.0804i | 0.674203 | − | 0.808109i | ||||
\(263\) | −7.53215 | − | 25.1591i | −0.464453 | − | 1.55138i | −0.794409 | − | 0.607383i | \(-0.792219\pi\) |
0.329956 | − | 0.943996i | \(-0.392966\pi\) | |||||||
\(264\) | 11.4282 | − | 22.0689i | 0.703359 | − | 1.35825i | ||||
\(265\) | 5.12619 | + | 2.57447i | 0.314899 | + | 0.158148i | ||||
\(266\) | −0.130536 | + | 0.123854i | −0.00800370 | + | 0.00759395i | ||||
\(267\) | −13.5256 | + | 9.63728i | −0.827754 | + | 0.589792i | ||||
\(268\) | 7.59745 | − | 17.8901i | 0.464088 | − | 1.09281i | ||||
\(269\) | 15.9027 | − | 27.5443i | 0.969607 | − | 1.67941i | 0.272915 | − | 0.962038i | \(-0.412012\pi\) |
0.696692 | − | 0.717370i | \(-0.254654\pi\) | |||||||
\(270\) | −2.12132 | − | 4.24101i | −0.129100 | − | 0.258100i | ||||
\(271\) | 0.670077 | − | 0.386869i | 0.0407043 | − | 0.0235006i | −0.479510 | − | 0.877537i | \(-0.659185\pi\) |
0.520214 | + | 0.854036i | \(0.325852\pi\) | |||||||
\(272\) | −2.80939 | − | 21.8881i | −0.170344 | − | 1.32716i | ||||
\(273\) | 0.240914 | − | 3.04119i | 0.0145808 | − | 0.184061i | ||||
\(274\) | −2.91049 | − | 12.1276i | −0.175829 | − | 0.732653i | ||||
\(275\) | −23.2130 | + | 1.35201i | −1.39980 | + | 0.0815290i | ||||
\(276\) | 5.20513 | + | 5.68816i | 0.313312 | + | 0.342387i | ||||
\(277\) | 3.10063 | − | 13.0826i | 0.186299 | − | 0.786056i | −0.796989 | − | 0.603994i | \(-0.793575\pi\) |
0.983287 | − | 0.182061i | \(-0.0582769\pi\) | |||||||
\(278\) | −1.44812 | + | 8.35057i | −0.0868525 | + | 0.500834i | ||||
\(279\) | 14.8013 | + | 15.1808i | 0.886129 | + | 0.908853i | ||||
\(280\) | 1.40199 | − | 0.259478i | 0.0837849 | − | 0.0155068i | ||||
\(281\) | −10.5111 | − | 0.612204i | −0.627042 | − | 0.0365210i | −0.258318 | − | 0.966060i | \(-0.583168\pi\) |
−0.368724 | + | 0.929539i | \(0.620205\pi\) | |||||||
\(282\) | 21.4431 | − | 17.3431i | 1.27692 | − | 1.03277i | ||||
\(283\) | −6.12021 | + | 8.22086i | −0.363808 | + | 0.488680i | −0.945907 | − | 0.324439i | \(-0.894825\pi\) |
0.582098 | + | 0.813118i | \(0.302232\pi\) | |||||||
\(284\) | 12.9593 | − | 17.6142i | 0.768992 | − | 1.04521i | ||||
\(285\) | 0.0278636 | + | 0.179905i | 0.00165050 | + | 0.0106566i | ||||
\(286\) | 0.894920 | − | 16.1511i | 0.0529177 | − | 0.955032i | ||||
\(287\) | 0.475746 | + | 2.69809i | 0.0280824 | + | 0.159263i | ||||
\(288\) | −9.75427 | − | 13.8872i | −0.574776 | − | 0.818311i | ||||
\(289\) | −2.33318 | + | 13.2321i | −0.137246 | + | 0.778361i | ||||
\(290\) | −7.76366 | − | 1.81687i | −0.455898 | − | 0.106690i | ||||
\(291\) | 5.31838 | − | 16.5028i | 0.311769 | − | 0.967409i | ||||
\(292\) | −0.256930 | − | 4.01993i | −0.0150357 | − | 0.235249i | ||||
\(293\) | 15.7754 | − | 3.73885i | 0.921610 | − | 0.218426i | 0.257689 | − | 0.966228i | \(-0.417039\pi\) |
0.663921 | + | 0.747802i | \(0.268891\pi\) | |||||||
\(294\) | 12.9194 | + | 8.83533i | 0.753474 | + | 0.515287i | ||||
\(295\) | −0.676003 | − | 5.78358i | −0.0393584 | − | 0.336733i | ||||
\(296\) | −8.31340 | + | 4.89414i | −0.483207 | + | 0.284466i | ||||
\(297\) | −7.67227 | + | 25.2187i | −0.445190 | + | 1.46334i | ||||
\(298\) | −6.45143 | + | 11.2475i | −0.373721 | + | 0.651548i | ||||
\(299\) | 4.60802 | + | 1.98771i | 0.266489 | + | 0.114952i | ||||
\(300\) | −6.51019 | + | 14.4820i | −0.375866 | + | 0.836120i | ||||
\(301\) | −1.55062 | + | 1.46294i | −0.0893763 | + | 0.0843222i | ||||
\(302\) | 9.06114 | − | 18.1700i | 0.521410 | − | 1.04557i | ||||
\(303\) | 19.2208 | − | 12.0747i | 1.10421 | − | 0.693671i | ||||
\(304\) | 0.193898 | + | 0.621998i | 0.0111208 | + | 0.0356740i | ||||
\(305\) | 6.35493 | − | 7.57351i | 0.363882 | − | 0.433658i | ||||
\(306\) | 7.14346 | + | 22.2895i | 0.408364 | + | 1.27421i | ||||
\(307\) | 7.38401 | − | 6.19592i | 0.421428 | − | 0.353620i | −0.407278 | − | 0.913304i | \(-0.633522\pi\) |
0.828706 | + | 0.559684i | \(0.189078\pi\) | |||||||
\(308\) | −6.64643 | − | 4.31783i | −0.378715 | − | 0.246031i | ||||
\(309\) | −4.84778 | − | 0.959534i | −0.275780 | − | 0.0545860i | ||||
\(310\) | −0.730661 | + | 6.40814i | −0.0414988 | + | 0.363958i | ||||
\(311\) | −0.555040 | − | 1.28673i | −0.0314734 | − | 0.0729636i | 0.901754 | − | 0.432249i | \(-0.142280\pi\) |
−0.933228 | + | 0.359285i | \(0.883021\pi\) | |||||||
\(312\) | −9.49669 | − | 5.64106i | −0.537644 | − | 0.319362i | ||||
\(313\) | −26.2179 | + | 13.1671i | −1.48192 | + | 0.744249i | −0.991847 | − | 0.127432i | \(-0.959326\pi\) |
−0.490074 | + | 0.871681i | \(0.663030\pi\) | |||||||
\(314\) | −8.36314 | + | 23.1811i | −0.471959 | + | 1.30818i | ||||
\(315\) | −1.41240 | + | 0.540510i | −0.0795796 | + | 0.0304543i | ||||
\(316\) | −0.352758 | − | 0.952416i | −0.0198442 | − | 0.0535776i | ||||
\(317\) | −16.4839 | + | 17.4719i | −0.925825 | + | 0.981318i | −0.999873 | − | 0.0159371i | \(-0.994927\pi\) |
0.0740476 | + | 0.997255i | \(0.476408\pi\) | |||||||
\(318\) | −21.5782 | − | 2.91780i | −1.21005 | − | 0.163622i | ||||
\(319\) | 24.3560 | + | 37.0314i | 1.36367 | + | 2.07336i | ||||
\(320\) | 1.39656 | − | 4.96990i | 0.0780701 | − | 0.277826i | ||||
\(321\) | 6.67019 | − | 25.7374i | 0.372294 | − | 1.43652i | ||||
\(322\) | 1.96821 | − | 1.47394i | 0.109684 | − | 0.0821395i | ||||
\(323\) | − | 0.898594i | − | 0.0499991i | ||||||
\(324\) | 12.8472 | + | 12.6075i | 0.713736 | + | 0.700415i | ||||
\(325\) | 10.3346i | 0.573263i | ||||||||
\(326\) | −12.3708 | − | 16.5192i | −0.685155 | − | 0.914916i | ||||
\(327\) | 10.9256 | + | 10.7476i | 0.604189 | + | 0.594343i | ||||
\(328\) | 9.52671 | + | 2.76436i | 0.526025 | + | 0.152636i | ||||
\(329\) | −4.83310 | − | 7.34838i | −0.266458 | − | 0.405129i | ||||
\(330\) | −7.41893 | + | 3.04260i | −0.408399 | + | 0.167490i | ||||
\(331\) | −9.50792 | + | 10.0778i | −0.522603 | + | 0.553927i | −0.933881 | − | 0.357583i | \(-0.883601\pi\) |
0.411279 | + | 0.911510i | \(0.365082\pi\) | |||||||
\(332\) | 0.334166 | + | 0.902222i | 0.0183398 | + | 0.0495159i | ||||
\(333\) | 7.72923 | − | 6.70503i | 0.423559 | − | 0.367434i | ||||
\(334\) | −1.90416 | − | 0.686972i | −0.104191 | − | 0.0375895i | ||||
\(335\) | −5.60413 | + | 2.81450i | −0.306186 | + | 0.153772i | ||||
\(336\) | −4.71279 | + | 2.66109i | −0.257104 | + | 0.145175i | ||||
\(337\) | −7.53317 | − | 17.4639i | −0.410358 | − | 0.951317i | −0.990590 | − | 0.136866i | \(-0.956297\pi\) |
0.580231 | − | 0.814452i | \(-0.302962\pi\) | |||||||
\(338\) | 11.1233 | + | 1.26828i | 0.605026 | + | 0.0689856i | ||||
\(339\) | −5.98983 | − | 17.5910i | −0.325323 | − | 0.955411i | ||||
\(340\) | −3.87890 | + | 5.97078i | −0.210363 | + | 0.323811i | ||||
\(341\) | 27.4648 | − | 23.0457i | 1.48730 | − | 1.24800i | ||||
\(342\) | −0.321971 | − | 0.611451i | −0.0174102 | − | 0.0330635i | ||||
\(343\) | 6.72345 | − | 8.01270i | 0.363032 | − | 0.432645i | ||||
\(344\) | 2.27631 | + | 7.37535i | 0.122731 | + | 0.397652i | ||||
\(345\) | −0.0927793 | − | 2.48599i | −0.00499507 | − | 0.133841i | ||||
\(346\) | −1.18819 | − | 0.592533i | −0.0638773 | − | 0.0318548i | ||||
\(347\) | 13.2397 | − | 12.4910i | 0.710743 | − | 0.670552i | −0.243392 | − | 0.969928i | \(-0.578260\pi\) |
0.954135 | + | 0.299376i | \(0.0967786\pi\) | |||||||
\(348\) | 30.1116 | − | 3.05564i | 1.61415 | − | 0.163800i | ||||
\(349\) | −11.5535 | − | 4.98368i | −0.618443 | − | 0.266770i | 0.0637232 | − | 0.997968i | \(-0.479703\pi\) |
−0.682166 | + | 0.731198i | \(0.738962\pi\) | |||||||
\(350\) | 4.39248 | + | 2.51948i | 0.234788 | + | 0.134672i | ||||
\(351\) | 10.9913 | + | 4.05593i | 0.586673 | + | 0.216489i | ||||
\(352\) | −24.6472 | + | 14.6981i | −1.31370 | + | 0.783411i | ||||
\(353\) | −0.497691 | − | 4.25801i | −0.0264894 | − | 0.226631i | 0.973509 | − | 0.228651i | \(-0.0734313\pi\) |
−0.999998 | + | 0.00201928i | \(0.999357\pi\) | |||||||
\(354\) | 9.56184 | + | 19.9281i | 0.508206 | + | 1.05917i | ||||
\(355\) | −6.86548 | + | 1.62715i | −0.364382 | + | 0.0863601i | ||||
\(356\) | 19.1380 | − | 1.22319i | 1.01431 | − | 0.0648289i | ||||
\(357\) | 7.29777 | − | 1.56948i | 0.386239 | − | 0.0830658i | ||||
\(358\) | −0.161391 | + | 0.689639i | −0.00852980 | + | 0.0364486i | ||||
\(359\) | −2.84781 | + | 16.1507i | −0.150302 | + | 0.852404i | 0.812654 | + | 0.582746i | \(0.198022\pi\) |
−0.962956 | + | 0.269658i | \(0.913089\pi\) | |||||||
\(360\) | −0.500048 | + | 5.45267i | −0.0263549 | + | 0.287381i | ||||
\(361\) | −3.29471 | − | 18.6852i | −0.173406 | − | 0.983433i | ||||
\(362\) | 1.83251 | + | 0.101538i | 0.0963144 | + | 0.00533672i | ||||
\(363\) | 23.7952 | + | 9.22763i | 1.24892 | + | 0.484325i | ||||
\(364\) | −2.08760 | + | 2.83746i | −0.109420 | + | 0.148723i | ||||
\(365\) | −0.776112 | + | 1.04250i | −0.0406236 | + | 0.0545669i | ||||
\(366\) | −13.4698 | + | 35.0275i | −0.704076 | + | 1.83092i | ||||
\(367\) | 9.76646 | + | 0.568832i | 0.509805 | + | 0.0296928i | 0.311120 | − | 0.950371i | \(-0.399296\pi\) |
0.198685 | + | 0.980063i | \(0.436333\pi\) | |||||||
\(368\) | −1.64497 | − | 8.74979i | −0.0857502 | − | 0.456114i | ||||
\(369\) | −10.4689 | − | 1.04961i | −0.544990 | − | 0.0546406i | ||||
\(370\) | 3.06684 | + | 0.531838i | 0.159437 | + | 0.0276490i | ||||
\(371\) | −1.60146 | + | 6.75709i | −0.0831436 | + | 0.350810i | ||||
\(372\) | −5.28268 | − | 23.9055i | −0.273894 | − | 1.23944i | ||||
\(373\) | −25.8164 | + | 1.50364i | −1.33672 | + | 0.0778553i | −0.711553 | − | 0.702632i | \(-0.752008\pi\) |
−0.625171 | + | 0.780488i | \(0.714971\pi\) | |||||||
\(374\) | 38.4869 | − | 9.23647i | 1.99011 | − | 0.477606i | ||||
\(375\) | 9.67040 | − | 4.60647i | 0.499377 | − | 0.237877i | ||||
\(376\) | −31.5974 | + | 3.96491i | −1.62951 | + | 0.204475i | ||||
\(377\) | 17.0604 | − | 9.84982i | 0.878654 | − | 0.507291i | ||||
\(378\) | 4.40344 | − | 3.68279i | 0.226489 | − | 0.189422i | ||||
\(379\) | 7.87213 | − | 13.6349i | 0.404364 | − | 0.700379i | −0.589883 | − | 0.807489i | \(-0.700826\pi\) |
0.994247 | + | 0.107109i | \(0.0341595\pi\) | |||||||
\(380\) | 0.0821692 | − | 0.193488i | 0.00421519 | − | 0.00992573i | ||||
\(381\) | −1.21344 | − | 12.6700i | −0.0621663 | − | 0.649105i | ||||
\(382\) | 15.9740 | + | 16.8359i | 0.817299 | + | 0.861399i | ||||
\(383\) | −30.0290 | − | 15.0811i | −1.53441 | − | 0.770611i | −0.537075 | − | 0.843535i | \(-0.680471\pi\) |
−0.997337 | + | 0.0729241i | \(0.976767\pi\) | |||||||
\(384\) | 1.11788 | + | 19.5640i | 0.0570465 | + | 0.998372i | ||||
\(385\) | 0.733432 | + | 2.44983i | 0.0373791 | + | 0.124855i | ||||
\(386\) | 13.9623 | + | 11.6487i | 0.710662 | + | 0.592904i | ||||
\(387\) | −3.79395 | − | 7.25469i | −0.192857 | − | 0.368777i | ||||
\(388\) | −15.2639 | + | 12.9556i | −0.774908 | + | 0.657721i | ||||
\(389\) | 12.1100 | + | 7.96489i | 0.614003 | + | 0.403836i | 0.818068 | − | 0.575121i | \(-0.195045\pi\) |
−0.204065 | + | 0.978957i | \(0.565416\pi\) | |||||||
\(390\) | 1.15829 | + | 3.37043i | 0.0586521 | + | 0.170669i | ||||
\(391\) | −1.42555 | + | 12.1963i | −0.0720930 | + | 0.616795i | ||||
\(392\) | −7.29871 | − | 16.5336i | −0.368640 | − | 0.835074i | ||||
\(393\) | 18.2821 | − | 10.0523i | 0.922208 | − | 0.507072i | ||||
\(394\) | 17.2422 | − | 8.72041i | 0.868647 | − | 0.439328i | ||||
\(395\) | −0.112079 | + | 0.307935i | −0.00563932 | + | 0.0154939i | ||||
\(396\) | 22.8791 | − | 20.0750i | 1.14972 | − | 1.00881i | ||||
\(397\) | −6.77473 | − | 18.6134i | −0.340014 | − | 0.934180i | −0.985390 | − | 0.170315i | \(-0.945521\pi\) |
0.645376 | − | 0.763865i | \(-0.276701\pi\) | |||||||
\(398\) | 13.4834 | + | 12.6492i | 0.675863 | + | 0.634045i | ||||
\(399\) | −0.204138 | + | 0.0830470i | −0.0102197 | + | 0.00415755i | ||||
\(400\) | 15.2033 | − | 10.2473i | 0.760166 | − | 0.512367i | ||||
\(401\) | 22.7923 | + | 6.82357i | 1.13819 | + | 0.340753i | 0.799809 | − | 0.600255i | \(-0.204934\pi\) |
0.338385 | + | 0.941008i | \(0.390119\pi\) | |||||||
\(402\) | 16.6456 | − | 17.0173i | 0.830209 | − | 0.848745i | ||||
\(403\) | −9.51569 | − | 12.7818i | −0.474010 | − | 0.636706i | ||||
\(404\) | −26.2099 | + | 0.148080i | −1.30399 | + | 0.00736725i | ||||
\(405\) | −0.527982 | − | 5.78365i | −0.0262356 | − | 0.287392i | ||||
\(406\) | −0.0272666 | − | 9.65237i | −0.00135322 | − | 0.479039i | ||||
\(407\) | −10.3324 | − | 13.8788i | −0.512157 | − | 0.687946i | ||||
\(408\) | 6.55851 | − | 26.2194i | 0.324695 | − | 1.29805i | ||||
\(409\) | 7.41086 | − | 24.7540i | 0.366444 | − | 1.22401i | −0.553796 | − | 0.832652i | \(-0.686821\pi\) |
0.920240 | − | 0.391355i | \(-0.127993\pi\) | |||||||
\(410\) | −1.76629 | − | 2.66907i | −0.0872311 | − | 0.131816i | ||||
\(411\) | 2.08960 | − | 15.1313i | 0.103072 | − | 0.746373i | ||||
\(412\) | 4.17269 | + | 3.89241i | 0.205574 | + | 0.191765i | ||||
\(413\) | 6.62400 | − | 2.41094i | 0.325946 | − | 0.118634i | ||||
\(414\) | 3.39999 | + | 8.80982i | 0.167100 | + | 0.432979i | ||||
\(415\) | 0.106172 | − | 0.291706i | 0.00521180 | − | 0.0143193i | ||||
\(416\) | 5.88464 | + | 11.3159i | 0.288518 | + | 0.554807i | ||||
\(417\) | −5.37648 | + | 8.87903i | −0.263287 | + | 0.434808i | ||||
\(418\) | −1.07166 | + | 0.465865i | −0.0524168 | + | 0.0227862i | ||||
\(419\) | −1.70612 | + | 14.5968i | −0.0833496 | + | 0.713101i | 0.885360 | + | 0.464906i | \(0.153912\pi\) |
−0.968710 | + | 0.248196i | \(0.920162\pi\) | |||||||
\(420\) | 1.71490 | + | 0.329377i | 0.0836784 | + | 0.0160720i | ||||
\(421\) | −6.92976 | + | 10.5362i | −0.337736 | + | 0.513502i | −0.963927 | − | 0.266167i | \(-0.914243\pi\) |
0.626191 | + | 0.779670i | \(0.284613\pi\) | |||||||
\(422\) | −1.40223 | + | 1.18338i | −0.0682595 | + | 0.0576059i | ||||
\(423\) | 32.1944 | − | 10.2176i | 1.56535 | − | 0.496798i | ||||
\(424\) | 19.3970 | + | 15.9979i | 0.942003 | + | 0.776926i | ||||
\(425\) | −24.2249 | + | 7.25246i | −1.17508 | + | 0.351796i | ||||
\(426\) | 22.6385 | − | 14.3110i | 1.09684 | − | 0.693371i | ||||
\(427\) | 10.6953 | + | 5.37138i | 0.517582 | + | 0.259939i | ||||
\(428\) | −22.2115 | + | 21.1940i | −1.07364 | + | 1.02445i | ||||
\(429\) | 8.22483 | − | 18.0233i | 0.397098 | − | 0.870172i | ||||
\(430\) | 0.979940 | − | 2.28952i | 0.0472569 | − | 0.110410i | ||||
\(431\) | −13.1989 | + | 22.8612i | −0.635770 | + | 1.10119i | 0.350581 | + | 0.936532i | \(0.385984\pi\) |
−0.986351 | + | 0.164654i | \(0.947349\pi\) | |||||||
\(432\) | −4.93178 | − | 20.1910i | −0.237280 | − | 0.971441i | ||||
\(433\) | 12.8921 | + | 22.3298i | 0.619555 | + | 1.07310i | 0.989567 | + | 0.144074i | \(0.0460202\pi\) |
−0.370012 | + | 0.929027i | \(0.620646\pi\) | |||||||
\(434\) | −7.75241 | + | 0.928332i | −0.372127 | + | 0.0445614i | ||||
\(435\) | −8.04510 | − | 5.53531i | −0.385733 | − | 0.265398i | ||||
\(436\) | −4.17836 | − | 17.1964i | −0.200107 | − | 0.823556i | ||||
\(437\) | −0.0210794 | − | 0.361920i | −0.00100837 | − | 0.0173130i | ||||
\(438\) | 1.49999 | − | 4.69987i | 0.0716725 | − | 0.224569i | ||||
\(439\) | 0.932845 | − | 3.93598i | 0.0445223 | − | 0.187854i | −0.946240 | − | 0.323466i | \(-0.895152\pi\) |
0.990762 | + | 0.135612i | \(0.0433000\pi\) | |||||||
\(440\) | 9.13172 | + | 1.53049i | 0.435338 | + | 0.0729634i | ||||
\(441\) | 10.7954 | + | 15.8405i | 0.514066 | + | 0.754308i | ||||
\(442\) | −3.10364 | − | 17.3154i | −0.147625 | − | 0.823612i | ||||
\(443\) | −25.8747 | − | 1.50703i | −1.22934 | − | 0.0716011i | −0.568856 | − | 0.822437i | \(-0.692614\pi\) |
−0.660488 | + | 0.750836i | \(0.729651\pi\) | |||||||
\(444\) | −11.6655 | + | 1.87430i | −0.553622 | + | 0.0889505i | ||||
\(445\) | −4.96311 | − | 3.69490i | −0.235274 | − | 0.175155i | ||||
\(446\) | 9.40736 | + | 6.96230i | 0.445451 | + | 0.329675i | ||||
\(447\) | −12.3756 | + | 9.95163i | −0.585344 | + | 0.470696i | ||||
\(448\) | 6.24415 | + | 0.257583i | 0.295008 | + | 0.0121697i | ||||
\(449\) | −15.2176 | + | 2.68327i | −0.718161 | + | 0.126631i | −0.520774 | − | 0.853694i | \(-0.674357\pi\) |
−0.197387 | + | 0.980326i | \(0.563246\pi\) | |||||||
\(450\) | −13.8853 | + | 13.6149i | −0.654561 | + | 0.641811i | ||||
\(451\) | −3.08947 | + | 17.5213i | −0.145478 | + | 0.825045i | ||||
\(452\) | −4.83042 | + | 20.9068i | −0.227204 | + | 0.983373i | ||||
\(453\) | 18.4400 | − | 16.6837i | 0.866389 | − | 0.783868i | ||||
\(454\) | −11.5354 | + | 0.704562i | −0.541383 | + | 0.0330668i | ||||
\(455\) | 1.10595 | − | 0.262115i | 0.0518478 | − | 0.0122882i | ||||
\(456\) | −0.0562700 | + | 0.795959i | −0.00263509 | + | 0.0372742i | ||||
\(457\) | 9.39546 | − | 1.09817i | 0.439501 | − | 0.0513703i | 0.106535 | − | 0.994309i | \(-0.466025\pi\) |
0.332966 | + | 0.942939i | \(0.391950\pi\) | |||||||
\(458\) | −28.2092 | + | 16.3930i | −1.31813 | + | 0.765994i | ||||
\(459\) | −1.79400 | + | 28.6105i | −0.0837369 | + | 1.33542i | ||||
\(460\) | −1.42221 | + | 2.49580i | −0.0663109 | + | 0.116367i | ||||
\(461\) | 10.7589 | − | 24.9419i | 0.501091 | − | 1.16166i | −0.460620 | − | 0.887597i | \(-0.652373\pi\) |
0.961712 | − | 0.274063i | \(-0.0883677\pi\) | |||||||
\(462\) | −5.65521 | − | 7.88965i | −0.263104 | − | 0.367060i | ||||
\(463\) | −15.3869 | + | 14.5168i | −0.715090 | + | 0.674653i | −0.955156 | − | 0.296104i | \(-0.904312\pi\) |
0.240066 | + | 0.970757i | \(0.422831\pi\) | |||||||
\(464\) | −31.4063 | − | 15.3310i | −1.45800 | − | 0.711722i | ||||
\(465\) | −3.69172 | + | 6.98344i | −0.171199 | + | 0.323849i | ||||
\(466\) | −4.48997 | + | 1.35804i | −0.207994 | + | 0.0629100i | ||||
\(467\) | 4.03208 | − | 4.80525i | 0.186582 | − | 0.222360i | −0.664642 | − | 0.747162i | \(-0.731416\pi\) |
0.851225 | + | 0.524802i | \(0.175860\pi\) | |||||||
\(468\) | −8.31610 | − | 10.6703i | −0.384412 | − | 0.493235i | ||||
\(469\) | −4.87986 | − | 5.81559i | −0.225331 | − | 0.268539i | ||||
\(470\) | 8.60042 | + | 5.62185i | 0.396708 | + | 0.259316i | ||||
\(471\) | −19.8790 | + | 22.7108i | −0.915977 | + | 1.04646i | ||||
\(472\) | 2.74807 | − | 25.3743i | 0.126490 | − | 1.16795i | ||||
\(473\) | −12.7117 | + | 5.48328i | −0.584483 | + | 0.252121i | ||||
\(474\) | 0.0224504 | − | 1.24370i | 0.00103118 | − | 0.0571252i | ||||
\(475\) | 0.667164 | − | 0.335062i | 0.0306116 | − | 0.0153737i | ||||
\(476\) | −8.11613 | − | 2.90221i | −0.372002 | − | 0.133022i | ||||
\(477\) | −23.3114 | − | 12.9529i | −1.06735 | − | 0.593074i | ||||
\(478\) | −27.0913 | + | 9.94717i | −1.23913 | + | 0.454973i | ||||
\(479\) | −11.3063 | + | 11.9840i | −0.516598 | + | 0.547561i | −0.932180 | − | 0.361994i | \(-0.882096\pi\) |
0.415583 | + | 0.909555i | \(0.363578\pi\) | |||||||
\(480\) | 3.80975 | − | 5.04592i | 0.173891 | − | 0.230314i | ||||
\(481\) | −6.42508 | + | 4.22584i | −0.292958 | + | 0.192682i | ||||
\(482\) | −0.440531 | + | 1.48675i | −0.0200656 | + | 0.0677196i | ||||
\(483\) | 2.90245 | − | 0.803322i | 0.132066 | − | 0.0365524i | ||||
\(484\) | −17.7315 | − | 23.5387i | −0.805978 | − | 1.06994i | ||||
\(485\) | 6.45973 | 0.293321 | ||||||||
\(486\) | 9.03055 | + | 20.1109i | 0.409634 | + | 0.912250i | ||||
\(487\) | 25.7564i | 1.16714i | 0.812064 | + | 0.583568i | \(0.198344\pi\) | ||||
−0.812064 | + | 0.583568i | \(0.801656\pi\) | |||||||
\(488\) | 34.5385 | − | 26.1708i | 1.56348 | − | 1.18470i | ||||
\(489\) | −6.74228 | − | 24.3603i | −0.304897 | − | 1.10161i | ||||
\(490\) | −1.65663 | + | 5.59096i | −0.0748389 | + | 0.252574i | ||||
\(491\) | 22.5128 | + | 34.2291i | 1.01599 | + | 1.54474i | 0.826564 | + | 0.562843i | \(0.190292\pi\) |
0.189426 | + | 0.981895i | \(0.439337\pi\) | |||||||
\(492\) | 9.63348 | + | 7.40244i | 0.434311 | + | 0.333728i | ||||
\(493\) | 35.0608 | + | 33.0781i | 1.57906 | + | 1.48976i | ||||
\(494\) | 0.179011 | + | 0.487539i | 0.00805409 | + | 0.0219354i | ||||
\(495\) | −9.81942 | + | 0.161342i | −0.441350 | + | 0.00725177i | ||||
\(496\) | −9.36802 | + | 26.6724i | −0.420637 | + | 1.19762i | ||||
\(497\) | −3.83337 | − | 7.63287i | −0.171950 | − | 0.342381i | ||||
\(498\) | −0.0212672 | + | 1.17816i | −0.000953006 | + | 0.0527945i | ||||
\(499\) | −8.98185 | − | 20.8223i | −0.402083 | − | 0.932132i | −0.992182 | − | 0.124801i | \(-0.960171\pi\) |
0.590099 | − | 0.807331i | \(-0.299089\pi\) | |||||||
\(500\) | −12.2929 | − | 1.36647i | −0.549753 | − | 0.0611106i | ||||
\(501\) | −1.86553 | − | 1.63292i | −0.0833458 | − | 0.0729535i | ||||
\(502\) | −14.8998 | + | 22.7941i | −0.665012 | + | 1.01735i | ||||
\(503\) | −27.4238 | + | 23.0113i | −1.22277 | + | 1.02602i | −0.224090 | + | 0.974568i | \(0.571941\pi\) |
−0.998675 | + | 0.0514538i | \(0.983615\pi\) | |||||||
\(504\) | −6.56253 | + | 0.933233i | −0.292318 | + | 0.0415695i | ||||
\(505\) | 6.47826 | + | 5.43590i | 0.288279 | + | 0.241895i | ||||
\(506\) | 15.2844 | − | 4.62294i | 0.679475 | − | 0.205515i | ||||
\(507\) | 12.1219 | + | 6.40810i | 0.538352 | + | 0.284594i | ||||
\(508\) | −6.52171 | + | 13.1708i | −0.289354 | + | 0.584360i | ||||
\(509\) | −21.5227 | − | 22.8127i | −0.953975 | − | 1.01115i | −0.999925 | − | 0.0122112i | \(-0.996113\pi\) |
0.0459500 | − | 0.998944i | \(-0.485369\pi\) | |||||||
\(510\) | −7.08762 | + | 5.08032i | −0.313845 | + | 0.224961i | ||||
\(511\) | −1.44468 | − | 0.623173i | −0.0639088 | − | 0.0275676i | ||||
\(512\) | 10.8119 | − | 19.8772i | 0.477823 | − | 0.878456i | ||||
\(513\) | −0.0945178 | − | 0.841055i | −0.00417306 | − | 0.0371335i | ||||
\(514\) | 22.8905 | − | 13.3022i | 1.00966 | − | 0.586735i | ||||
\(515\) | −0.213744 | − | 1.82870i | −0.00941869 | − | 0.0805820i | ||||
\(516\) | −0.693274 | + | 9.42791i | −0.0305197 | + | 0.415041i | ||||
\(517\) | −13.1719 | − | 55.5768i | −0.579302 | − | 2.44427i | ||||
\(518\) | 0.229718 | + | 3.76104i | 0.0100932 | + | 0.165250i | ||||
\(519\) | −1.09099 | − | 1.20584i | −0.0478892 | − | 0.0529307i | ||||
\(520\) | 0.915073 | − | 4.01222i | 0.0401286 | − | 0.175947i | ||||
\(521\) | 19.4958 | + | 3.43763i | 0.854126 | + | 0.150605i | 0.583534 | − | 0.812089i | \(-0.301669\pi\) |
0.270592 | + | 0.962694i | \(0.412781\pi\) | |||||||
\(522\) | 35.7093 | + | 9.94569i | 1.56295 | + | 0.435311i | ||||
\(523\) | −0.685610 | − | 3.88829i | −0.0299796 | − | 0.170023i | 0.966142 | − | 0.258011i | \(-0.0830672\pi\) |
−0.996121 | + | 0.0879885i | \(0.971956\pi\) | |||||||
\(524\) | −24.0578 | − | 1.26487i | −1.05097 | − | 0.0552561i | ||||
\(525\) | 3.88642 | + | 4.83304i | 0.169617 | + | 0.210931i | ||||
\(526\) | −22.0946 | + | 29.8540i | −0.963372 | + | 1.30169i | ||||
\(527\) | 23.2834 | − | 31.2750i | 1.01424 | − | 1.36236i | ||||
\(528\) | −34.6694 | + | 5.77145i | −1.50879 | + | 0.251170i | ||||
\(529\) | 1.04928 | − | 18.0154i | 0.0456208 | − | 0.783279i | ||||
\(530\) | −1.43127 | − | 7.98516i | −0.0621704 | − | 0.346853i | ||||
\(531\) | 2.01781 | + | 26.9956i | 0.0875654 | + | 1.17151i | ||||
\(532\) | 0.250857 | + | 0.0427730i | 0.0108760 | + | 0.00185445i | ||||
\(533\) | 7.69441 | + | 1.82361i | 0.333282 | + | 0.0789892i | ||||
\(534\) | 22.3751 | + | 7.14114i | 0.968263 | + | 0.309027i | ||||
\(535\) | 9.88884 | − | 0.575959i | 0.427532 | − | 0.0249009i | ||||
\(536\) | −26.6917 | + | 6.56545i | −1.15291 | + | 0.283584i | ||||
\(537\) | −0.491697 | + | 0.714639i | −0.0212183 | + | 0.0308389i | ||||
\(538\) | −44.6607 | + | 5.34801i | −1.92546 | + | 0.230569i | ||||
\(539\) | 28.0722 | − | 16.2075i | 1.20916 | − | 0.698107i | ||||
\(540\) | −3.00249 | + | 5.99646i | −0.129207 | + | 0.258046i | ||||
\(541\) | 0.395236 | + | 0.228190i | 0.0169925 | + | 0.00981063i | 0.508472 | − | 0.861078i | \(-0.330210\pi\) |
−0.491480 | + | 0.870889i | \(0.663544\pi\) | |||||||
\(542\) | −1.00596 | − | 0.430563i | −0.0432097 | − | 0.0184943i | ||||
\(543\) | 2.04493 | + | 0.933193i | 0.0877563 | + | 0.0400471i | ||||
\(544\) | −22.3954 | + | 21.7349i | −0.960194 | + | 0.931878i | ||||
\(545\) | −2.56257 | + | 5.10250i | −0.109768 | + | 0.218567i | ||||
\(546\) | −3.64681 | + | 2.30534i | −0.156069 | + | 0.0986596i | ||||
\(547\) | 2.19211 | + | 7.32215i | 0.0937278 | + | 0.313073i | 0.991978 | − | 0.126412i | \(-0.0403462\pi\) |
−0.898250 | + | 0.439485i | \(0.855161\pi\) | |||||||
\(548\) | −11.2609 | + | 13.5753i | −0.481044 | + | 0.579908i | ||||
\(549\) | −30.9878 | + | 33.9455i | −1.32253 | + | 1.44876i | ||||
\(550\) | 21.2084 | + | 25.1307i | 0.904329 | + | 1.07158i | ||||
\(551\) | −1.18898 | − | 0.782008i | −0.0506525 | − | 0.0333146i | ||||
\(552\) | 2.02646 | − | 10.7140i | 0.0862519 | − | 0.456020i | ||||
\(553\) | −0.394020 | − | 0.0460543i | −0.0167554 | − | 0.00195843i | ||||
\(554\) | −17.4377 | + | 7.58038i | −0.740857 | + | 0.322060i | ||||
\(555\) | 3.26092 | + | 1.97457i | 0.138418 | + | 0.0838159i | ||||
\(556\) | 10.6803 | − | 5.43962i | 0.452945 | − | 0.230691i | ||||
\(557\) | −11.3874 | − | 4.14469i | −0.482501 | − | 0.175616i | 0.0893059 | − | 0.996004i | \(-0.471535\pi\) |
−0.571807 | + | 0.820388i | \(0.693757\pi\) | |||||||
\(558\) | 4.63727 | − | 29.6238i | 0.196311 | − | 1.25407i | ||||
\(559\) | 2.10444 | + | 5.78191i | 0.0890085 | + | 0.244549i | ||||
\(560\) | −1.48221 | − | 1.36707i | −0.0626347 | − | 0.0577691i | ||||
\(561\) | 48.0193 | + | 6.63134i | 2.02738 | + | 0.279976i | ||||
\(562\) | 8.21740 | + | 12.4174i | 0.346630 | + | 0.523796i | ||||
\(563\) | 5.77293 | + | 1.72830i | 0.243300 | + | 0.0728393i | 0.406132 | − | 0.913815i | \(-0.366877\pi\) |
−0.162831 | + | 0.986654i | \(0.552063\pi\) | |||||||
\(564\) | −37.8096 | − | 9.57125i | −1.59207 | − | 0.403022i | ||||
\(565\) | 5.55332 | − | 4.13430i | 0.233630 | − | 0.173931i | ||||
\(566\) | 14.4940 | − | 0.0409436i | 0.609230 | − | 0.00172099i | ||||
\(567\) | 6.66540 | − | 2.23660i | 0.279920 | − | 0.0939282i | ||||
\(568\) | −30.9247 | + | 0.262080i | −1.29757 | + | 0.0109966i | ||||
\(569\) | −27.1818 | + | 20.2361i | −1.13952 | + | 0.848340i | −0.990090 | − | 0.140432i | \(-0.955151\pi\) |
−0.149428 | + | 0.988773i | \(0.547743\pi\) | |||||||
\(570\) | 0.180029 | − | 0.184048i | 0.00754058 | − | 0.00770893i | ||||
\(571\) | 11.6495 | − | 38.9121i | 0.487517 | − | 1.62842i | −0.261025 | − | 0.965332i | \(-0.584061\pi\) |
0.748542 | − | 0.663087i | \(-0.230754\pi\) | |||||||
\(572\) | −19.0414 | + | 12.6784i | −0.796159 | + | 0.530110i | ||||
\(573\) | 10.7109 | + | 26.3286i | 0.447456 | + | 1.09989i | ||||
\(574\) | 2.65090 | − | 2.82574i | 0.110646 | − | 0.117944i | ||||
\(575\) | −9.58675 | + | 3.48929i | −0.399795 | + | 0.145514i | ||||
\(576\) | −7.45128 | + | 22.8140i | −0.310470 | + | 0.950583i | ||||
\(577\) | −20.5957 | − | 7.49624i | −0.857412 | − | 0.312073i | −0.124354 | − | 0.992238i | \(-0.539686\pi\) |
−0.733059 | + | 0.680165i | \(0.761908\pi\) | |||||||
\(578\) | 16.9564 | − | 8.57590i | 0.705294 | − | 0.356711i | ||||
\(579\) | 10.7301 | + | 19.5147i | 0.445926 | + | 0.811003i | ||||
\(580\) | 4.52467 | + | 10.3285i | 0.187877 | + | 0.428868i | ||||
\(581\) | 0.373254 | + | 0.0436271i | 0.0154852 | + | 0.00180996i | ||||
\(582\) | −23.1893 | + | 7.96926i | −0.961228 | + | 0.330337i | ||||
\(583\) | −24.7806 | + | 37.6770i | −1.02631 | + | 1.56042i | ||||
\(584\) | −4.33269 | + | 3.69858i | −0.179288 | + | 0.153048i | ||||
\(585\) | −0.182173 | + | 4.36108i | −0.00753193 | + | 0.180308i | ||||
\(586\) | −17.6053 | − | 14.6881i | −0.727269 | − | 0.606758i | ||||
\(587\) | −17.9502 | + | 5.37395i | −0.740886 | + | 0.221807i | −0.634936 | − | 0.772565i | \(-0.718973\pi\) |
−0.105950 | + | 0.994371i | \(0.533788\pi\) | |||||||
\(588\) | −0.950467 | − | 22.1143i | −0.0391966 | − | 0.911980i | ||||
\(589\) | −0.516631 | + | 1.02870i | −0.0212874 | + | 0.0423867i | ||||
\(590\) | −5.97386 | + | 5.66803i | −0.245940 | + | 0.233349i | ||||
\(591\) | 23.5567 | − | 2.25608i | 0.968992 | − | 0.0928026i | ||||
\(592\) | 12.5874 | + | 5.26181i | 0.517341 | + | 0.216259i | ||||
\(593\) | 31.2663 | + | 18.0516i | 1.28395 | + | 0.741291i | 0.977569 | − | 0.210617i | \(-0.0675471\pi\) |
0.306385 | + | 0.951908i | \(0.400880\pi\) | |||||||
\(594\) | 35.0510 | − | 12.6932i | 1.43816 | − | 0.520810i | ||||
\(595\) | 1.39053 | + | 2.40846i | 0.0570060 | + | 0.0987373i | ||||
\(596\) | 18.2009 | − | 2.23168i | 0.745537 | − | 0.0914133i | ||||
\(597\) | 9.73760 | + | 20.4422i | 0.398534 | + | 0.836645i | ||||
\(598\) | −1.65622 | − | 6.90121i | −0.0677279 | − | 0.282211i | ||||
\(599\) | −0.386591 | − | 6.63751i | −0.0157957 | − | 0.271201i | −0.996954 | − | 0.0779947i | \(-0.975148\pi\) |
0.981158 | − | 0.193207i | \(-0.0618888\pi\) | |||||||
\(600\) | 21.9122 | − | 4.90714i | 0.894560 | − | 0.200333i | ||||
\(601\) | 24.3133 | + | 5.76236i | 0.991761 | + | 0.235052i | 0.694303 | − | 0.719683i | \(-0.255713\pi\) |
0.297458 | + | 0.954735i | \(0.403861\pi\) | |||||||
\(602\) | 2.97050 | + | 0.515131i | 0.121068 | + | 0.0209952i | ||||
\(603\) | 26.5770 | − | 11.9858i | 1.08230 | − | 0.488101i | ||||
\(604\) | −28.2494 | + | 5.14586i | −1.14945 | + | 0.209382i | ||||
\(605\) | −0.552869 | + | 9.49239i | −0.0224773 | + | 0.385920i | ||||
\(606\) | −29.9620 | − | 11.5218i | −1.21712 | − | 0.468042i | ||||
\(607\) | 19.0006 | + | 14.1454i | 0.771212 | + | 0.574146i | 0.909235 | − | 0.416283i | \(-0.136667\pi\) |
−0.138023 | + | 0.990429i | \(0.544075\pi\) | |||||||
\(608\) | 0.539722 | − | 0.746764i | 0.0218886 | − | 0.0302853i | ||||
\(609\) | 4.27426 | − | 11.0220i | 0.173202 | − | 0.446634i | ||||
\(610\) | −13.9602 | − | 0.773528i | −0.565233 | − | 0.0313192i | ||||
\(611\) | −25.0000 | + | 4.40818i | −1.01139 | + | 0.178336i | ||||
\(612\) | 19.1758 | − | 26.9814i | 0.775136 | − | 1.09066i | ||||
\(613\) | −31.5397 | − | 5.56130i | −1.27388 | − | 0.224619i | −0.504499 | − | 0.863412i | \(-0.668323\pi\) |
−0.769378 | + | 0.638793i | \(0.779434\pi\) | |||||||
\(614\) | −13.2732 | − | 3.10623i | −0.535662 | − | 0.125357i | ||||
\(615\) | −0.824180 | − | 3.83227i | −0.0332341 | − | 0.154532i | ||||
\(616\) | 0.746538 | + | 11.1839i | 0.0300789 | + | 0.450613i | ||||
\(617\) | 3.08515 | + | 13.0173i | 0.124203 | + | 0.524055i | 0.999202 | + | 0.0399307i | \(0.0127137\pi\) |
−0.874999 | + | 0.484125i | \(0.839138\pi\) | |||||||
\(618\) | 3.02334 | + | 6.30101i | 0.121616 | + | 0.253464i | ||||
\(619\) | 32.1310 | − | 3.75557i | 1.29145 | − | 0.150949i | 0.557516 | − | 0.830166i | \(-0.311755\pi\) |
0.733937 | + | 0.679217i | \(0.237680\pi\) | |||||||
\(620\) | 7.87330 | − | 4.60516i | 0.316199 | − | 0.184948i | ||||
\(621\) | −0.0514050 | + | 11.5653i | −0.00206281 | + | 0.464100i | ||||
\(622\) | −0.986041 | + | 1.71907i | −0.0395366 | + | 0.0689284i | ||||
\(623\) | 2.96679 | − | 6.87779i | 0.118862 | − | 0.275553i | ||||
\(624\) | 1.66486 | + | 15.5321i | 0.0666476 | + | 0.621781i | ||||
\(625\) | −12.9887 | − | 13.7672i | −0.519546 | − | 0.550687i | ||||
\(626\) | 37.1301 | + | 18.5163i | 1.48402 | + | 0.740060i | ||||
\(627\) | −1.43017 | + | 0.0533752i | −0.0571155 | + | 0.00213160i | ||||
\(628\) | 33.3301 | − | 10.1839i | 1.33002 | − | 0.406383i | ||||
\(629\) | −14.4145 | − | 12.0952i | −0.574742 | − | 0.482266i | ||||
\(630\) | 1.80915 | + | 1.14061i | 0.0720784 | + | 0.0454432i | ||||
\(631\) | −10.5834 | − | 12.6128i | −0.421318 | − | 0.502108i | 0.513078 | − | 0.858342i | \(-0.328505\pi\) |
−0.934397 | + | 0.356234i | \(0.884061\pi\) | |||||||
\(632\) | −0.779083 | + | 1.20669i | −0.0309903 | + | 0.0479995i | ||||
\(633\) | −2.12727 | + | 0.724347i | −0.0845513 | + | 0.0287902i | ||||
\(634\) | 33.7514 | + | 3.84836i | 1.34044 | + | 0.152838i | ||||
\(635\) | 4.35417 | − | 1.87821i | 0.172790 | − | 0.0745344i | ||||
\(636\) | 14.9892 | + | 26.8996i | 0.594360 | + | 1.06664i | ||||
\(637\) | −6.46585 | − | 12.8746i | −0.256186 | − | 0.510109i | ||||
\(638\) | 21.2722 | − | 58.9625i | 0.842173 | − | 2.33435i | ||||
\(639\) | 32.2056 | − | 6.22591i | 1.27403 | − | 0.246293i | ||||
\(640\) | −6.80973 | + | 2.63216i | −0.269178 | + | 0.104045i | ||||
\(641\) | −18.6830 | − | 17.6265i | −0.737933 | − | 0.696204i | 0.222432 | − | 0.974948i | \(-0.428600\pi\) |
−0.960365 | + | 0.278744i | \(0.910082\pi\) | |||||||
\(642\) | −34.7887 | + | 14.2673i | −1.37300 | + | 0.563085i | ||||
\(643\) | 0.184735 | − | 0.121502i | 0.00728524 | − | 0.00479158i | −0.545861 | − | 0.837876i | \(-0.683797\pi\) |
0.553146 | + | 0.833084i | \(0.313427\pi\) | |||||||
\(644\) | −3.33695 | − | 0.978510i | −0.131494 | − | 0.0385587i | ||||
\(645\) | 2.13897 | − | 2.17441i | 0.0842220 | − | 0.0856173i | ||||
\(646\) | −1.01719 | + | 0.761748i | −0.0400209 | + | 0.0299706i | ||||
\(647\) | 33.3406 | 1.31075 | 0.655376 | − | 0.755302i | \(-0.272510\pi\) | ||||
0.655376 | + | 0.755302i | \(0.272510\pi\) | |||||||
\(648\) | 3.38069 | − | 25.2304i | 0.132806 | − | 0.991142i | ||||
\(649\) | 45.7766 | 1.79689 | ||||||||
\(650\) | 11.6986 | − | 8.76079i | 0.458858 | − | 0.343626i | ||||
\(651\) | −9.25673 | − | 2.39901i | −0.362800 | − | 0.0940246i | ||||
\(652\) | −8.21265 | + | 28.0071i | −0.321632 | + | 1.09684i | ||||
\(653\) | −28.1242 | + | 18.4976i | −1.10058 | + | 0.723865i | −0.963771 | − | 0.266732i | \(-0.914056\pi\) |
−0.136813 | + | 0.990597i | \(0.543686\pi\) | |||||||
\(654\) | 2.90431 | − | 21.4785i | 0.113568 | − | 0.839875i | ||||
\(655\) | 5.65384 | + | 5.33413i | 0.220914 | + | 0.208422i | ||||
\(656\) | −4.94669 | − | 13.1275i | −0.193136 | − | 0.512541i | ||||
\(657\) | 3.80728 | − | 4.69177i | 0.148536 | − | 0.183044i | ||||
\(658\) | −4.22117 | + | 11.7003i | −0.164558 | + | 0.456125i | ||||
\(659\) | −16.6052 | − | 33.0638i | −0.646849 | − | 1.28798i | −0.942985 | − | 0.332836i | \(-0.891995\pi\) |
0.296136 | − | 0.955146i | \(-0.404302\pi\) | |||||||
\(660\) | 9.73329 | + | 5.81886i | 0.378868 | + | 0.226499i | ||||
\(661\) | 2.29046 | − | 0.988007i | 0.0890885 | − | 0.0384290i | −0.351069 | − | 0.936350i | \(-0.614182\pi\) |
0.440158 | + | 0.897921i | \(0.354923\pi\) | |||||||
\(662\) | 19.4679 | + | 2.21974i | 0.756641 | + | 0.0862727i | ||||
\(663\) | 4.18330 | − | 21.1349i | 0.162466 | − | 0.820813i | ||||
\(664\) | 0.738024 | − | 1.14309i | 0.0286409 | − | 0.0443607i | ||||
\(665\) | −0.0527775 | − | 0.0628978i | −0.00204662 | − | 0.00243907i | ||||
\(666\) | −14.1421 | − | 3.06543i | −0.547997 | − | 0.118783i | ||||
\(667\) | 14.8971 | + | 12.5002i | 0.576819 | + | 0.484009i | ||||
\(668\) | 0.836536 | + | 2.73783i | 0.0323666 | + | 0.105930i | ||||
\(669\) | 7.62487 | + | 12.1375i | 0.294795 | + | 0.469263i | ||||
\(670\) | 7.93664 | + | 3.95790i | 0.306619 | + | 0.152907i | ||||
\(671\) | 53.3360 | + | 56.5329i | 2.05902 | + | 2.18243i | ||||
\(672\) | 7.00740 | + | 3.07896i | 0.270316 | + | 0.118773i | ||||
\(673\) | −6.85695 | + | 15.8962i | −0.264316 | + | 0.612754i | −0.997753 | − | 0.0670043i | \(-0.978656\pi\) |
0.733437 | + | 0.679758i | \(0.237915\pi\) | |||||||
\(674\) | −13.3828 | + | 23.3317i | −0.515488 | + | 0.898705i | ||||
\(675\) | −21.9109 | + | 9.33615i | −0.843351 | + | 0.359348i | ||||
\(676\) | −7.99365 | − | 13.6665i | −0.307448 | − | 0.525635i | ||||
\(677\) | −12.1773 | + | 1.42332i | −0.468011 | + | 0.0547026i | −0.346830 | − | 0.937928i | \(-0.612742\pi\) |
−0.121180 | + | 0.992631i | \(0.538668\pi\) | |||||||
\(678\) | −14.8351 | + | 21.6924i | −0.569737 | + | 0.833093i | ||||
\(679\) | 1.80341 | + | 7.60919i | 0.0692085 | + | 0.292014i | ||||
\(680\) | 10.0470 | − | 0.670648i | 0.385285 | − | 0.0257182i | ||||
\(681\) | −13.4719 | − | 4.34163i | −0.516246 | − | 0.166371i | ||||
\(682\) | −49.3696 | − | 11.5536i | −1.89046 | − | 0.442411i | ||||
\(683\) | 25.9343 | + | 4.57291i | 0.992348 | + | 0.174978i | 0.646172 | − | 0.763192i | \(-0.276369\pi\) |
0.346176 | + | 0.938170i | \(0.387480\pi\) | |||||||
\(684\) | −0.419215 | + | 0.882800i | −0.0160291 | + | 0.0337547i | ||||
\(685\) | 5.60443 | − | 0.988212i | 0.214134 | − | 0.0377576i | ||||
\(686\) | −14.7698 | − | 0.818385i | −0.563913 | − | 0.0312461i | ||||
\(687\) | −39.4883 | + | 6.11593i | −1.50657 | + | 0.233337i | ||||
\(688\) | 6.41912 | − | 8.82892i | 0.244727 | − | 0.336599i | ||||
\(689\) | 16.0770 | + | 11.9689i | 0.612485 | + | 0.455978i | ||||
\(690\) | −2.73545 | + | 2.21243i | −0.104137 | + | 0.0842257i | ||||
\(691\) | −0.319261 | + | 5.48151i | −0.0121453 | + | 0.208526i | 0.986776 | + | 0.162090i | \(0.0518235\pi\) |
−0.998921 | + | 0.0464363i | \(0.985214\pi\) | |||||||
\(692\) | 0.336502 | + | 1.84730i | 0.0127919 | + | 0.0702240i | ||||
\(693\) | −2.93141 | − | 11.5217i | −0.111355 | − | 0.437672i | ||||
\(694\) | −25.3630 | − | 4.39835i | −0.962767 | − | 0.166959i | ||||
\(695\) | −3.76296 | − | 0.891838i | −0.142737 | − | 0.0338293i | ||||
\(696\) | −28.9849 | − | 31.4956i | −1.09867 | − | 1.19384i | ||||
\(697\) | 1.12502 | + | 19.3158i | 0.0426131 | + | 0.731638i | ||||
\(698\) | 4.15256 | + | 17.3030i | 0.157177 | + | 0.654930i | ||||
\(699\) | −5.72715 | − | 0.453687i | −0.216621 | − | 0.0171600i | ||||
\(700\) | −0.871540 | − | 7.10800i | −0.0329411 | − | 0.268657i | ||||
\(701\) | 4.93185 | + | 8.54221i | 0.186273 | + | 0.322635i | 0.944005 | − | 0.329932i | \(-0.107026\pi\) |
−0.757732 | + | 0.652566i | \(0.773692\pi\) | |||||||
\(702\) | −4.72622 | − | 15.8802i | −0.178380 | − | 0.599361i | ||||
\(703\) | 0.481113 | + | 0.277771i | 0.0181455 | + | 0.0104763i | ||||
\(704\) | 37.5317 | + | 15.4405i | 1.41453 | + | 0.581936i | ||||
\(705\) | 7.30236 | + | 10.2486i | 0.275023 | + | 0.385985i | ||||
\(706\) | −4.39810 | + | 4.17294i | −0.165525 | + | 0.157051i | ||||
\(707\) | −4.59460 | + | 9.14859i | −0.172798 | + | 0.344068i | ||||
\(708\) | 14.4526 | − | 27.7171i | 0.543161 | − | 1.04167i | ||||
\(709\) | 5.51280 | − | 1.65042i | 0.207038 | − | 0.0619830i | −0.181605 | − | 0.983372i | \(-0.558129\pi\) |
0.388643 | + | 0.921389i | \(0.372944\pi\) | |||||||
\(710\) | 7.66185 | + | 6.39226i | 0.287544 | + | 0.239897i | ||||
\(711\) | 0.580352 | − | 1.40860i | 0.0217649 | − | 0.0528265i | ||||
\(712\) | −17.6081 | − | 20.6270i | −0.659892 | − | 0.773029i | ||||
\(713\) | 8.64402 | − | 13.1426i | 0.323721 | − | 0.492194i | ||||
\(714\) | −7.96303 | − | 6.93049i | −0.298009 | − | 0.259367i | ||||
\(715\) | 7.33105 | + | 0.856877i | 0.274166 | + | 0.0320454i | ||||
\(716\) | 0.917474 | − | 0.401922i | 0.0342876 | − | 0.0150205i | ||||
\(717\) | −35.3381 | − | 0.737758i | −1.31972 | − | 0.0275521i | ||||
\(718\) | 20.6965 | − | 10.4675i | 0.772386 | − | 0.390643i | ||||
\(719\) | −1.80072 | − | 0.655410i | −0.0671557 | − | 0.0244427i | 0.308224 | − | 0.951314i | \(-0.400265\pi\) |
−0.375380 | + | 0.926871i | \(0.622488\pi\) | |||||||
\(720\) | 6.59622 | − | 4.05624i | 0.245827 | − | 0.151167i | ||||
\(721\) | 2.09443 | − | 0.762309i | 0.0780005 | − | 0.0283899i | ||||
\(722\) | −18.3584 | + | 19.5692i | −0.683229 | + | 0.728291i | ||||
\(723\) | −1.16564 | + | 1.49934i | −0.0433505 | + | 0.0557611i | ||||
\(724\) | −1.43850 | − | 2.16044i | −0.0534613 | − | 0.0802922i | ||||
\(725\) | −11.4857 | + | 38.3650i | −0.426569 | + | 1.42484i | ||||
\(726\) | −9.72590 | − | 34.7581i | −0.360962 | − | 1.28999i | ||||
\(727\) | −18.3539 | + | 13.6640i | −0.680709 | + | 0.506769i | −0.881090 | − | 0.472949i | \(-0.843190\pi\) |
0.200381 | + | 0.979718i | \(0.435782\pi\) | |||||||
\(728\) | 4.98163 | − | 0.0422181i | 0.184631 | − | 0.00156471i | ||||
\(729\) | 1.33024 | + | 26.9672i | 0.0492682 | + | 0.998786i | ||||
\(730\) | 1.83801 | − | 0.00519212i | 0.0680279 | − | 0.000192169i | ||||
\(731\) | −12.0763 | + | 8.99044i | −0.446657 | + | 0.332524i | ||||
\(732\) | 51.0691 | − | 14.4457i | 1.88757 | − | 0.533927i | ||||
\(733\) | −14.3837 | − | 4.30619i | −0.531273 | − | 0.159053i | 0.00992064 | − | 0.999951i | \(-0.496842\pi\) |
−0.541193 | + | 0.840898i | \(0.682027\pi\) | |||||||
\(734\) | −7.63523 | − | 11.5377i | −0.281821 | − | 0.425863i | ||||
\(735\) | −4.38341 | + | 5.63832i | −0.161685 | + | 0.207972i | ||||
\(736\) | −8.51016 | + | 9.27938i | −0.313689 | + | 0.342042i | ||||
\(737\) | −16.8617 | − | 46.3271i | −0.621109 | − | 1.70648i | ||||
\(738\) | 7.68647 | + | 12.7404i | 0.282943 | + | 0.468981i | ||||
\(739\) | −19.3835 | − | 7.05501i | −0.713033 | − | 0.259523i | −0.0400680 | − | 0.999197i | \(-0.512757\pi\) |
−0.672965 | + | 0.739674i | \(0.734980\pi\) | |||||||
\(740\) | −1.99776 | − | 3.92246i | −0.0734392 | − | 0.144192i | ||||
\(741\) | −0.0132768 | + | 0.635951i | −0.000487737 | + | 0.0233622i | ||||
\(742\) | 9.00648 | − | 3.91523i | 0.330638 | − | 0.143733i | ||||
\(743\) | 15.7974 | + | 1.84645i | 0.579549 | + | 0.0677396i | 0.400817 | − | 0.916158i | \(-0.368726\pi\) |
0.178732 | + | 0.983898i | \(0.442800\pi\) | |||||||
\(744\) | −22.5825 | + | 26.2449i | −0.827914 | + | 0.962184i | ||||
\(745\) | −4.94316 | − | 3.25117i | −0.181103 | − | 0.119113i | ||||
\(746\) | 23.5870 | + | 27.9491i | 0.863580 | + | 1.02329i | ||||
\(747\) | −0.549766 | + | 1.33436i | −0.0201149 | + | 0.0488217i | ||||
\(748\) | −43.0813 | − | 35.7367i | −1.57521 | − | 1.30666i | ||||
\(749\) | 3.43919 | + | 11.4877i | 0.125665 | + | 0.419751i | ||||
\(750\) | −13.4121 | − | 7.04178i | −0.489742 | − | 0.257129i | ||||
\(751\) | −6.08295 | + | 12.1121i | −0.221970 | + | 0.441978i | −0.976862 | − | 0.213871i | \(-0.931393\pi\) |
0.754892 | + | 0.655849i | \(0.227689\pi\) | |||||||
\(752\) | 31.2737 | + | 32.4066i | 1.14043 | + | 1.18175i | ||||
\(753\) | −27.1624 | + | 19.3538i | −0.989852 | + | 0.705290i | ||||
\(754\) | −25.6121 | − | 10.9623i | −0.932738 | − | 0.399222i | ||||
\(755\) | 8.02342 | + | 4.63232i | 0.292002 | + | 0.168587i | ||||
\(756\) | −7.90170 | − | 1.86268i | −0.287382 | − | 0.0677452i | ||||
\(757\) | 19.1312 | − | 11.0454i | 0.695335 | − | 0.401452i | −0.110273 | − | 0.993901i | \(-0.535172\pi\) |
0.805608 | + | 0.592450i | \(0.201839\pi\) | |||||||
\(758\) | −22.1078 | + | 2.64736i | −0.802991 | + | 0.0961563i | ||||
\(759\) | 19.4959 | + | 1.54441i | 0.707658 | + | 0.0560584i | ||||
\(760\) | −0.288681 | + | 0.0710078i | −0.0104716 | + | 0.00257572i | ||||
\(761\) | −48.1841 | + | 2.80640i | −1.74667 | + | 0.101732i | −0.901504 | − | 0.432771i | \(-0.857536\pi\) |
−0.845167 | + | 0.534503i | \(0.820499\pi\) | |||||||
\(762\) | −13.3136 | + | 12.1141i | −0.482301 | + | 0.438848i | ||||
\(763\) | −6.72586 | − | 1.59406i | −0.243492 | − | 0.0577088i | ||||
\(764\) | 5.51663 | − | 32.3542i | 0.199585 | − | 1.17053i | ||||
\(765\) | −10.3504 | + | 2.63342i | −0.374220 | + | 0.0952114i | ||||
\(766\) | 8.38433 | + | 46.7768i | 0.302938 | + | 1.69012i | ||||
\(767\) | 1.18299 | − | 20.3112i | 0.0427155 | − | 0.733396i | ||||
\(768\) | 21.1985 | − | 17.8500i | 0.764935 | − | 0.644108i | ||||
\(769\) | 7.53592 | − | 10.1225i | 0.271752 | − | 0.365027i | −0.645207 | − | 0.764008i | \(-0.723229\pi\) |
0.916959 | + | 0.398981i | \(0.130636\pi\) | |||||||
\(770\) | 2.15143 | − | 2.90698i | 0.0775322 | − | 0.104760i | ||||
\(771\) | 32.0430 | − | 4.96282i | 1.15400 | − | 0.178731i | ||||
\(772\) | 1.35015 | − | 25.6798i | 0.0485930 | − | 0.924237i | ||||
\(773\) | −8.06613 | − | 45.7453i | −0.290118 | − | 1.64534i | −0.686407 | − | 0.727217i | \(-0.740813\pi\) |
0.396289 | − | 0.918126i | \(-0.370298\pi\) | |||||||
\(774\) | −4.99602 | + | 10.4446i | −0.179578 | + | 0.375422i | ||||
\(775\) | 31.9020 | + | 5.62518i | 1.14595 | + | 0.202063i | ||||
\(776\) | 27.6049 | + | 6.29590i | 0.990959 | + | 0.226010i | ||||
\(777\) | −1.41556 | + | 4.39243i | −0.0507828 | + | 0.157578i | ||||
\(778\) | −1.24968 | − | 20.4603i | −0.0448031 | − | 0.733536i | ||||
\(779\) | −0.131738 | − | 0.555844i | −0.00471999 | − | 0.0199152i | ||||
\(780\) | 2.83338 | − | 4.16831i | 0.101451 | − | 0.149250i | ||||
\(781\) | −6.43939 | − | 55.0925i | −0.230419 | − | 1.97136i | ||||
\(782\) | 15.0145 | − | 8.72527i | 0.536917 | − | 0.312015i | ||||
\(783\) | 36.2951 | + | 27.2722i | 1.29708 | + | 0.974631i | ||||
\(784\) | −12.5286 | + | 22.2777i | −0.447450 | + | 0.795634i | ||||
\(785\) | −10.3251 | − | 4.45382i | −0.368519 | − | 0.158964i | ||||
\(786\) | −26.8769 | − | 12.1735i | −0.958669 | − | 0.434215i | ||||
\(787\) | −16.7176 | − | 17.7196i | −0.595918 | − | 0.631636i | 0.357275 | − | 0.933999i | \(-0.383706\pi\) |
−0.953193 | + | 0.302363i | \(0.902224\pi\) | |||||||
\(788\) | −24.4877 | − | 12.1254i | −0.872339 | − | 0.431951i | ||||
\(789\) | −38.5180 | + | 24.1973i | −1.37128 | + | 0.861447i | ||||
\(790\) | 0.443588 | − | 0.134168i | 0.0157822 | − | 0.00477349i | ||||
\(791\) | 6.42032 | + | 5.38729i | 0.228280 | + | 0.191550i | ||||
\(792\) | −42.1195 | − | 8.88091i | −1.49665 | − | 0.315569i | ||||
\(793\) | 26.4622 | − | 22.2044i | 0.939699 | − | 0.788501i | ||||
\(794\) | −15.3271 | + | 23.4477i | −0.543937 | + | 0.832126i | ||||
\(795\) | 1.92916 | − | 9.74656i | 0.0684204 | − | 0.345675i | ||||
\(796\) | 2.88859 | − | 25.9858i | 0.102383 | − | 0.921044i | ||||
\(797\) | −4.36960 | − | 10.1299i | −0.154779 | − | 0.358819i | 0.823129 | − | 0.567855i | \(-0.192227\pi\) |
−0.977908 | + | 0.209036i | \(0.932967\pi\) | |||||||
\(798\) | 0.267058 | + | 0.160681i | 0.00945375 | + | 0.00568806i | ||||
\(799\) | −27.8770 | − | 55.5078i | −0.986219 | − | 1.96372i | ||||
\(800\) | −24.4878 | − | 8.52312i | −0.865775 | − | 0.301338i | ||||
\(801\) | 22.3365 | + | 18.1256i | 0.789222 | + | 0.640438i | ||||
\(802\) | −11.5971 | − | 31.5849i | −0.409509 | − | 1.11530i | ||||
\(803\) | −7.43179 | − | 7.01153i | −0.262262 | − | 0.247431i | ||||
\(804\) | −33.3740 | − | 4.41686i | −1.17701 | − | 0.155771i | ||||
\(805\) | 0.616550 | + | 0.937419i | 0.0217305 | + | 0.0330397i | ||||
\(806\) | −6.40222 | + | 21.6069i | −0.225509 | + | 0.761069i | ||||
\(807\) | −53.3269 | − | 13.8204i | −1.87720 | − | 0.486501i | ||||
\(808\) | 22.3861 | + | 29.5437i | 0.787539 | + | 1.03934i | ||||
\(809\) | − | 53.3952i | − | 1.87728i | −0.344903 | − | 0.938638i | \(-0.612088\pi\) | ||
0.344903 | − | 0.938638i | \(-0.387912\pi\) | |||||||
\(810\) | −6.09941 | + | 5.50053i | −0.214312 | + | 0.193269i | ||||
\(811\) | 31.9964 | 1.12355 | 0.561773 | − | 0.827291i | \(-0.310119\pi\) | ||||
0.561773 | + | 0.827291i | \(0.310119\pi\) | |||||||
\(812\) | −10.9032 | + | 8.21329i | −0.382628 | + | 0.288230i | ||||
\(813\) | −0.955384 | − | 0.939815i | −0.0335068 | − | 0.0329608i | ||||
\(814\) | −6.95170 | + | 23.4613i | −0.243657 | + | 0.822318i | ||||
\(815\) | 7.86777 | − | 5.17471i | 0.275596 | − | 0.181262i | ||||
\(816\) | −35.2396 | + | 14.8023i | −1.23363 | + | 0.518185i | ||||
\(817\) | 0.305029 | − | 0.323311i | 0.0106716 | − | 0.0113112i | ||||
\(818\) | −34.3034 | + | 12.5953i | −1.19939 | + | 0.440383i | ||||
\(819\) | −5.18795 | + | 1.00292i | −0.181282 | + | 0.0350450i | ||||
\(820\) | −1.52403 | + | 4.26201i | −0.0532215 | + | 0.148836i | ||||
\(821\) | 47.5051 | − | 23.8579i | 1.65794 | − | 0.832648i | 0.661353 | − | 0.750075i | \(-0.269983\pi\) |
0.996585 | − | 0.0825726i | \(-0.0263136\pi\) | |||||||
\(822\) | −18.8998 | + | 10.4616i | −0.659206 | + | 0.364890i | ||||
\(823\) | 45.4128 | − | 19.5892i | 1.58299 | − | 0.682835i | 0.590713 | − | 0.806881i | \(-0.298846\pi\) |
0.992276 | + | 0.124046i | \(0.0395871\pi\) | |||||||
\(824\) | 0.868907 | − | 8.02306i | 0.0302698 | − | 0.279496i | ||||
\(825\) | 12.9817 | + | 38.1247i | 0.451965 | + | 1.32733i | ||||
\(826\) | −8.34437 | − | 5.45448i | −0.290338 | − | 0.189785i | ||||
\(827\) | 5.42680 | + | 6.46740i | 0.188708 | + | 0.224894i | 0.852101 | − | 0.523378i | \(-0.175328\pi\) |
−0.663392 | + | 0.748272i | \(0.730884\pi\) | |||||||
\(828\) | 7.09036 | − | 11.3169i | 0.246407 | − | 0.393290i | ||||
\(829\) | −26.4963 | + | 31.5771i | −0.920255 | + | 1.09672i | 0.0747809 | + | 0.997200i | \(0.476174\pi\) |
−0.995036 | + | 0.0995171i | \(0.968270\pi\) | |||||||
\(830\) | −0.420210 | + | 0.127097i | −0.0145857 | + | 0.00441160i | ||||
\(831\) | −23.2712 | + | 0.868501i | −0.807269 | + | 0.0301279i | ||||
\(832\) | 7.82092 | − | 16.2539i | 0.271142 | − | 0.563503i | ||||
\(833\) | 25.6411 | − | 24.1912i | 0.888413 | − | 0.838174i | ||||
\(834\) | 14.6086 | − | 1.44076i | 0.505855 | − | 0.0498894i | ||||
\(835\) | 0.365849 | − | 0.848134i | 0.0126607 | − | 0.0293509i | ||||
\(836\) | 1.43581 | + | 0.818186i | 0.0496586 | + | 0.0282975i | ||||
\(837\) | 18.5029 | − | 31.7215i | 0.639553 | − | 1.09645i | ||||
\(838\) | 17.9697 | − | 10.4426i | 0.620752 | − | 0.360733i | ||||
\(839\) | 10.2845 | − | 1.20208i | 0.355059 | − | 0.0415004i | 0.0633059 | − | 0.997994i | \(-0.479836\pi\) |
0.291753 | + | 0.956494i | \(0.405762\pi\) | |||||||
\(840\) | −1.08089 | − | 2.22045i | −0.0372941 | − | 0.0766128i | ||||
\(841\) | 46.0613 | − | 10.9167i | 1.58832 | − | 0.376439i | ||||
\(842\) | 17.8012 | − | 1.08727i | 0.613470 | − | 0.0374697i | ||||
\(843\) | 3.83436 | + | 17.8290i | 0.132062 | + | 0.614064i | ||||
\(844\) | 2.52825 | + | 0.584140i | 0.0870259 | + | 0.0201069i | ||||
\(845\) | −0.887062 | + | 5.03078i | −0.0305159 | + | 0.173064i | ||||
\(846\) | −38.8577 | − | 27.7820i | −1.33596 | − | 0.955164i | ||||
\(847\) | −11.3358 | + | 1.99881i | −0.389504 | + | 0.0686800i | ||||
\(848\) | 1.66627 | − | 35.5187i | 0.0572201 | − | 1.21972i | ||||
\(849\) | 16.5507 | + | 6.41825i | 0.568017 | + | 0.220274i | ||||
\(850\) | 28.7454 | + | 21.2742i | 0.985958 | + | 0.729699i | ||||
\(851\) | −6.08934 | − | 4.53334i | −0.208740 | − | 0.155401i | ||||
\(852\) | −35.3907 | − | 13.4948i | −1.21247 | − | 0.462324i | ||||
\(853\) | 35.8546 | + | 2.08829i | 1.22764 | + | 0.0715018i | 0.659674 | − | 0.751552i | \(-0.270694\pi\) |
0.567964 | + | 0.823054i | \(0.307731\pi\) | |||||||
\(854\) | −2.98621 | − | 16.6603i | −0.102186 | − | 0.570103i | ||||
\(855\) | 0.287440 | − | 0.129631i | 0.00983025 | − | 0.00443330i | ||||
\(856\) | 42.8202 | + | 7.17674i | 1.46356 | + | 0.245296i | ||||
\(857\) | 1.65350 | − | 6.97664i | 0.0564823 | − | 0.238318i | −0.937480 | − | 0.348039i | \(-0.886848\pi\) |
0.993962 | + | 0.109721i | \(0.0349958\pi\) | |||||||
\(858\) | −27.3743 | + | 5.96816i | −0.934544 | + | 0.203750i | ||||
\(859\) | 1.21819 | + | 20.9156i | 0.0415642 | + | 0.713629i | 0.953146 | + | 0.302511i | \(0.0978248\pi\) |
−0.911582 | + | 0.411119i | \(0.865138\pi\) | |||||||
\(860\) | −3.42240 | + | 0.831574i | −0.116703 | + | 0.0283564i | ||||
\(861\) | 4.28410 | − | 2.04072i | 0.146002 | − | 0.0695475i | ||||
\(862\) | 37.0674 | − | 4.43873i | 1.26252 | − | 0.151184i | ||||
\(863\) | −21.7905 | − | 37.7422i | −0.741756 | − | 1.28476i | −0.951695 | − | 0.307044i | \(-0.900660\pi\) |
0.209939 | − | 0.977714i | \(-0.432673\pi\) | |||||||
\(864\) | −18.6752 | + | 22.6988i | −0.635343 | + | 0.772230i | ||||
\(865\) | 0.302920 | − | 0.524673i | 0.0102996 | − | 0.0178394i | ||||
\(866\) | 14.3482 | − | 33.5228i | 0.487570 | − | 1.13915i | ||||
\(867\) | 23.1663 | − | 2.21869i | 0.786769 | − | 0.0753507i | ||||
\(868\) | 7.62265 | + | 7.98864i | 0.258730 | + | 0.271152i | ||||
\(869\) | −2.30215 | − | 1.15618i | −0.0780950 | − | 0.0392208i | ||||
\(870\) | 0.554039 | + | 13.7993i | 0.0187837 | + | 0.467839i | ||||
\(871\) | −20.9912 | + | 6.28436i | −0.711261 | + | 0.212938i | ||||
\(872\) | −15.9239 | + | 19.3074i | −0.539253 | + | 0.653830i | ||||
\(873\) | −30.0051 | − | 1.25339i | −1.01552 | − | 0.0424208i | ||||
\(874\) | −0.391818 | + | 0.330665i | −0.0132534 | + | 0.0111849i | ||||
\(875\) | −2.65471 | + | 4.03629i | −0.0897455 | + | 0.136451i | ||||
\(876\) | −6.59174 | + | 2.28616i | −0.222714 | + | 0.0772423i | ||||
\(877\) | 0.0555786 | − | 0.475505i | 0.00187676 | − | 0.0160567i | −0.992268 | − | 0.124117i | \(-0.960390\pi\) |
0.994144 | + | 0.108061i | \(0.0344641\pi\) | |||||||
\(878\) | −5.24625 | + | 2.28061i | −0.177052 | + | 0.0769668i | ||||
\(879\) | −13.5297 | − | 24.6064i | −0.456346 | − | 0.829954i | ||||
\(880\) | −6.00857 | − | 11.6344i | −0.202549 | − | 0.392195i | ||||
\(881\) | −7.71479 | + | 21.1962i | −0.259918 | + | 0.714119i | 0.739254 | + | 0.673427i | \(0.235178\pi\) |
−0.999172 | + | 0.0406917i | \(0.987044\pi\) | |||||||
\(882\) | 8.77979 | − | 25.6483i | 0.295631 | − | 0.863624i | ||||
\(883\) | 17.4336 | − | 6.34532i | 0.586688 | − | 0.213537i | −0.0315839 | − | 0.999501i | \(-0.510055\pi\) |
0.618272 | + | 0.785964i | \(0.287833\pi\) | |||||||
\(884\) | −16.9698 | + | 18.1918i | −0.570756 | + | 0.611855i | ||||
\(885\) | −9.34217 | + | 3.80055i | −0.314034 | + | 0.127754i | ||||
\(886\) | 20.2283 | + | 30.5673i | 0.679584 | + | 1.02693i | ||||
\(887\) | −6.95359 | + | 23.2266i | −0.233479 | + | 0.779873i | 0.758300 | + | 0.651906i | \(0.226030\pi\) |
−0.991778 | + | 0.127967i | \(0.959155\pi\) | |||||||
\(888\) | 12.0107 | + | 11.6163i | 0.403052 | + | 0.389819i | ||||
\(889\) | 3.42801 | + | 4.60461i | 0.114972 | + | 0.154434i | ||||
\(890\) | 0.0247185 | + | 8.75037i | 0.000828567 | + | 0.293313i | ||||
\(891\) | 45.6421 | + | 1.15585i | 1.52907 | + | 0.0387225i | ||||
\(892\) | −0.0935091 | − | 16.5510i | −0.00313092 | − | 0.554168i | ||||
\(893\) | 1.09511 | + | 1.47098i | 0.0366463 | + | 0.0492246i | ||||
\(894\) | 21.7560 | + | 5.57283i | 0.727629 | + | 0.186383i | ||||
\(895\) | −0.309605 | − | 0.0926895i | −0.0103489 | − | 0.00309827i | ||||
\(896\) | −5.00165 | − | 7.28663i | −0.167093 | − | 0.243429i | ||||
\(897\) | 1.18909 | − | 8.61050i | 0.0397025 | − | 0.287496i | ||||
\(898\) | 15.9375 | + | 14.9514i | 0.531842 | + | 0.498935i | ||||
\(899\) | −21.1194 | − | 58.0250i | −0.704370 | − | 1.93524i | ||||
\(900\) | 27.1826 | + | 4.17649i | 0.906085 | + | 0.139216i | ||||
\(901\) | −16.7734 | + | 46.0846i | −0.558804 | + | 1.53530i | ||||
\(902\) | 22.4528 | − | 11.3557i | 0.747596 | − | 0.378105i | ||||
\(903\) | 3.15848 | + | 1.91254i | 0.105108 | + | 0.0636454i | ||||
\(904\) | 27.7610 | − | 12.2550i | 0.923315 | − | 0.407594i | ||||
\(905\) | −0.0972217 | + | 0.831785i | −0.00323176 | + | 0.0276495i | ||||
\(906\) | −34.5175 | − | 6.73087i | −1.14677 | − | 0.223618i | ||||
\(907\) | −10.3532 | − | 6.80944i | −0.343774 | − | 0.226104i | 0.365867 | − | 0.930667i | \(-0.380772\pi\) |
−0.709641 | + | 0.704564i | \(0.751143\pi\) | |||||||
\(908\) | 10.5762 | + | 12.4606i | 0.350985 | + | 0.413520i | ||||
\(909\) | −29.0365 | − | 26.5065i | −0.963079 | − | 0.879165i | ||||
\(910\) | −1.23424 | − | 1.02972i | −0.0409146 | − | 0.0341349i | ||||
\(911\) | 3.88191 | + | 12.9665i | 0.128614 | + | 0.429599i | 0.997905 | − | 0.0647013i | \(-0.0206095\pi\) |
−0.869291 | + | 0.494300i | \(0.835424\pi\) | |||||||
\(912\) | 0.948713 | − | 0.611046i | 0.0314150 | − | 0.0202338i | ||||
\(913\) | 2.18082 | + | 1.09525i | 0.0721745 | + | 0.0362474i | ||||
\(914\) | −9.20774 | − | 9.70457i | −0.304565 | − | 0.320999i | ||||
\(915\) | −15.5785 | − | 7.10916i | −0.515009 | − | 0.235022i | ||||
\(916\) | 42.4698 | + | 18.0358i | 1.40324 | + | 0.595919i | ||||
\(917\) | −4.70487 | + | 8.14907i | −0.155368 | + | 0.269106i | ||||
\(918\) | 33.9074 | − | 22.2227i | 1.11911 | − | 0.733457i | ||||
\(919\) | 44.8773 | − | 25.9099i | 1.48036 | − | 0.854689i | 0.480612 | − | 0.876933i | \(-0.340415\pi\) |
0.999753 | + | 0.0222446i | \(0.00708128\pi\) | |||||||
\(920\) | 4.03082 | − | 0.505797i | 0.132892 | − | 0.0166756i | ||||
\(921\) | −13.7543 | − | 9.46347i | −0.453221 | − | 0.311832i | ||||
\(922\) | −37.3543 | + | 8.96464i | −1.23020 | + | 0.295235i | ||||
\(923\) | −24.6111 | + | 1.43343i | −0.810084 | + | 0.0471820i | ||||
\(924\) | −4.13697 | + | 13.0897i | −0.136096 | + | 0.430621i | ||||
\(925\) | 3.60532 | − | 15.2120i | 0.118542 | − | 0.500169i | ||||
\(926\) | 29.4764 | + | 5.11167i | 0.968655 | + | 0.167980i | ||||
\(927\) | 0.638006 | + | 8.53569i | 0.0209549 | + | 0.280349i | ||||
\(928\) | 9.26910 | + | 48.5477i | 0.304273 | + | 1.59366i | ||||
\(929\) | 39.4155 | + | 2.29569i | 1.29318 | + | 0.0753191i | 0.690891 | − | 0.722959i | \(-0.257219\pi\) |
0.602289 | + | 0.798278i | \(0.294256\pi\) | |||||||
\(930\) | 11.0346 | − | 1.74098i | 0.361840 | − | 0.0570889i | ||||
\(931\) | −0.621501 | + | 0.834820i | −0.0203689 | + | 0.0273601i | ||||
\(932\) | 5.34347 | + | 3.93134i | 0.175031 | + | 0.128775i | ||||
\(933\) | −1.89149 | + | 1.52101i | −0.0619246 | + | 0.0497958i | ||||
\(934\) | −8.85749 | − | 0.490788i | −0.289826 | − | 0.0160591i | ||||
\(935\) | 3.13609 | + | 17.7857i | 0.102561 | + | 0.581654i | ||||
\(936\) | −5.02897 | + | 18.4590i | −0.164377 | + | 0.603352i | ||||
\(937\) | −0.433786 | + | 2.46012i | −0.0141712 | + | 0.0803687i | −0.991073 | − | 0.133319i | \(-0.957436\pi\) |
0.976902 | + | 0.213688i | \(0.0685476\pi\) | |||||||
\(938\) | −2.44644 | + | 10.4539i | −0.0798792 | + | 0.341331i | ||||
\(939\) | 34.0928 | + | 37.6819i | 1.11258 | + | 1.22970i | ||||
\(940\) | −0.926834 | − | 14.5012i | −0.0302300 | − | 0.472978i | ||||
\(941\) | 2.56607 | − | 0.608169i | 0.0836514 | − | 0.0198257i | −0.188577 | − | 0.982058i | \(-0.560388\pi\) |
0.272228 | + | 0.962233i | \(0.412239\pi\) | |||||||
\(942\) | 42.5599 | + | 3.25051i | 1.38668 | + | 0.105907i | ||||
\(943\) | 0.906230 | + | 7.75329i | 0.0295109 | + | 0.252482i | ||||
\(944\) | −31.0529 | + | 18.3993i | −1.01069 | + | 0.598847i | ||||
\(945\) | 1.55482 | + | 2.10798i | 0.0505783 | + | 0.0685727i | ||||
\(946\) | 16.9828 | + | 9.74116i | 0.552159 | + | 0.316713i | ||||
\(947\) | −38.7473 | − | 16.7139i | −1.25912 | − | 0.543130i | −0.341233 | − | 0.939979i | \(-0.610845\pi\) |
−0.917884 | + | 0.396848i | \(0.870104\pi\) | |||||||
\(948\) | −1.42688 | + | 1.02889i | −0.0463430 | + | 0.0334167i | ||||
\(949\) | −3.30309 | + | 3.11631i | −0.107223 | + | 0.101160i | ||||
\(950\) | −0.944847 | − | 0.471182i | −0.0306549 | − | 0.0152872i | ||||
\(951\) | 36.7815 | + | 19.4441i | 1.19272 | + | 0.630519i | ||||
\(952\) | 3.59488 | + | 11.6476i | 0.116511 | + | 0.377500i | ||||
\(953\) | −14.6693 | + | 17.4822i | −0.475185 | + | 0.566303i | −0.949385 | − | 0.314113i | \(-0.898293\pi\) |
0.474200 | + | 0.880417i | \(0.342737\pi\) | |||||||
\(954\) | 5.09881 | + | 37.3684i | 0.165080 | + | 1.20985i | ||||
\(955\) | −8.11221 | + | 6.80695i | −0.262505 | + | 0.220268i | ||||
\(956\) | 34.2256 | + | 22.2345i | 1.10693 | + | 0.719116i | ||||
\(957\) | 50.5635 | − | 57.7664i | 1.63449 | − | 1.86732i | ||||
\(958\) | 23.1501 | + | 2.63959i | 0.747946 | + | 0.0852814i | ||||
\(959\) | 2.72869 | + | 6.32580i | 0.0881138 | + | 0.204271i | ||||
\(960\) | −8.94146 | − | 0.0350956i | −0.288584 | − | 0.00113271i | ||||
\(961\) | −16.9329 | + | 8.50403i | −0.546223 | + | 0.274323i | ||||
\(962\) | 10.2302 | + | 3.69079i | 0.329835 | + | 0.118996i | ||||
\(963\) | −46.0449 | + | 0.756559i | −1.48378 | + | 0.0243798i | ||||
\(964\) | 2.05642 | − | 0.761660i | 0.0662328 | − | 0.0245314i | ||||
\(965\) | −5.69377 | + | 6.03504i | −0.183289 | + | 0.194275i | ||||
\(966\) | −3.36979 | − | 2.60454i | −0.108421 | − | 0.0837998i | ||||
\(967\) | 12.5699 | + | 19.1116i | 0.404222 | + | 0.614589i | 0.979034 | − | 0.203696i | \(-0.0652954\pi\) |
−0.574813 | + | 0.818285i | \(0.694925\pi\) | |||||||
\(968\) | −11.6143 | + | 40.0258i | −0.373297 | + | 1.28648i | ||||
\(969\) | −1.50002 | + | 0.415165i | −0.0481875 | + | 0.0133370i | ||||
\(970\) | −5.47598 | − | 7.31230i | −0.175823 | − | 0.234784i | ||||
\(971\) | − | 11.7149i | − | 0.375949i | −0.982174 | − | 0.187975i | \(-0.939808\pi\) | ||
0.982174 | − | 0.187975i | \(-0.0601923\pi\) | |||||||
\(972\) | 15.1099 | − | 27.2707i | 0.484651 | − | 0.874707i | ||||
\(973\) | − | 4.68153i | − | 0.150083i | ||||||
\(974\) | 29.1559 | − | 21.8340i | 0.934214 | − | 0.699607i | ||||
\(975\) | 17.2515 | − | 4.77477i | 0.552492 | − | 0.152915i | ||||
\(976\) | −58.9036 | − | 16.9118i | −1.88546 | − | 0.541332i | ||||
\(977\) | 22.5099 | + | 34.2246i | 0.720154 | + | 1.09494i | 0.991200 | + | 0.132374i | \(0.0422601\pi\) |
−0.271046 | + | 0.962566i | \(0.587370\pi\) | |||||||
\(978\) | −21.8600 | + | 28.2827i | −0.699004 | + | 0.904380i | ||||
\(979\) | 33.3803 | − | 35.3811i | 1.06684 | − | 1.13078i | ||||
\(980\) | 7.73322 | − | 2.86424i | 0.247029 | − | 0.0914949i | ||||
\(981\) | 12.8931 | − | 23.2036i | 0.411644 | − | 0.740835i | ||||
\(982\) | 19.6624 | − | 54.5005i | 0.627452 | − | 1.73918i | ||||
\(983\) | −19.7302 | + | 9.90889i | −0.629296 | + | 0.316044i | −0.734707 | − | 0.678384i | \(-0.762680\pi\) |
0.105411 | + | 0.994429i | \(0.466384\pi\) | |||||||
\(984\) | 0.213036 | − | 17.1801i | 0.00679135 | − | 0.547680i | ||||
\(985\) | 3.49204 | + | 8.09547i | 0.111266 | + | 0.257943i | ||||
\(986\) | 7.72250 | − | 67.7289i | 0.245935 | − | 2.15693i | ||||
\(987\) | −10.0336 | + | 11.4629i | −0.319374 | + | 0.364869i | ||||
\(988\) | 0.400137 | − | 0.615930i | 0.0127300 | − | 0.0195953i | ||||
\(989\) | −4.65297 | + | 3.90430i | −0.147956 | + | 0.124150i | ||||
\(990\) | 8.50667 | + | 10.9786i | 0.270360 | + | 0.348924i | ||||
\(991\) | 38.8482 | − | 46.2975i | 1.23405 | − | 1.47069i | 0.402333 | − | 0.915494i | \(-0.368200\pi\) |
0.831721 | − | 0.555194i | \(-0.187356\pi\) | |||||||
\(992\) | 38.1340 | − | 12.0060i | 1.21076 | − | 0.381191i | ||||
\(993\) | 21.2156 | + | 11.2154i | 0.673258 | + | 0.355910i | ||||
\(994\) | −5.39069 | + | 10.8098i | −0.170982 | + | 0.342866i | ||||
\(995\) | −6.13610 | + | 5.78911i | −0.194527 | + | 0.183527i | ||||
\(996\) | 1.35168 | − | 0.974663i | 0.0428297 | − | 0.0308834i | ||||
\(997\) | 30.5652 | + | 13.1845i | 0.968008 | + | 0.417558i | 0.820591 | − | 0.571516i | \(-0.193645\pi\) |
0.147417 | + | 0.989074i | \(0.452904\pi\) | |||||||
\(998\) | −15.9564 | + | 27.8186i | −0.505092 | + | 0.880581i | ||||
\(999\) | −14.7637 | − | 9.80452i | −0.467103 | − | 0.310201i |
(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 | 648.2.bb.b.155.32 | ✓ | 1872 | |
8.3 | odd | 2 | inner | 648.2.bb.b.155.74 | yes | 1872 | |
81.23 | odd | 54 | inner | 648.2.bb.b.347.74 | yes | 1872 | |
648.347 | even | 54 | inner | 648.2.bb.b.347.32 | yes | 1872 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
648.2.bb.b.155.32 | ✓ | 1872 | 1.1 | even | 1 | trivial | |
648.2.bb.b.155.74 | yes | 1872 | 8.3 | odd | 2 | inner | |
648.2.bb.b.347.32 | yes | 1872 | 648.347 | even | 54 | inner | |
648.2.bb.b.347.74 | yes | 1872 | 81.23 | odd | 54 | inner |