Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [804,2,Mod(41,804)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(804, base_ring=CyclotomicField(66))
chi = DirichletCharacter(H, H._module([0, 33, 53]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("804.41");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 804 = 2^{2} \cdot 3 \cdot 67 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 804.ba (of order \(66\), degree \(20\), 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: | \(6.41997232251\) |
Analytic rank: | \(0\) |
Dimension: | \(440\) |
Relative dimension: | \(22\) over \(\Q(\zeta_{66})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{66}]$ |
Embedding invariants
Embedding label | 41.2 | ||
Character | \(\chi\) | \(=\) | 804.41 |
Dual form | 804.2.ba.b.353.2 |
$q$-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 \(\left(\mathbb{Z}/804\mathbb{Z}\right)^\times\).
\(n\) | \(269\) | \(337\) | \(403\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{53}{66}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | −1.69899 | − | 0.336812i | −0.980911 | − | 0.194459i | ||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −0.202812 | + | 1.41059i | −0.0907002 | + | 0.630834i | 0.892871 | + | 0.450313i | \(0.148688\pi\) |
−0.983571 | + | 0.180521i | \(0.942222\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −0.147283 | − | 1.54242i | −0.0556679 | − | 0.582980i | −0.979673 | − | 0.200600i | \(-0.935711\pi\) |
0.924005 | − | 0.382380i | \(-0.124895\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 2.77312 | + | 1.14448i | 0.924372 | + | 0.381493i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −2.41940 | + | 0.968583i | −0.729477 | + | 0.292039i | −0.706515 | − | 0.707698i | \(-0.749734\pi\) |
−0.0229619 | + | 0.999736i | \(0.507310\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −1.91962 | − | 2.01323i | −0.532405 | − | 0.558371i | 0.401515 | − | 0.915853i | \(-0.368484\pi\) |
−0.933920 | + | 0.357482i | \(0.883635\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 0.819678 | − | 2.32826i | 0.211640 | − | 0.601154i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 3.53951 | − | 1.22504i | 0.858458 | − | 0.297115i | 0.137846 | − | 0.990454i | \(-0.455982\pi\) |
0.720612 | + | 0.693339i | \(0.243861\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −0.0830309 | − | 0.00792849i | −0.0190486 | − | 0.00181892i | 0.0855274 | − | 0.996336i | \(-0.472742\pi\) |
−0.104576 | + | 0.994517i | \(0.533349\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −0.269274 | + | 2.67016i | −0.0587603 | + | 0.582677i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 0.357259 | − | 0.0170183i | 0.0744936 | − | 0.00354857i | −0.0103020 | − | 0.999947i | \(-0.503279\pi\) |
0.0847956 | + | 0.996398i | \(0.472976\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 2.84884 | + | 0.836495i | 0.569768 | + | 0.167299i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −4.32601 | − | 2.87847i | −0.832541 | − | 0.553963i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 2.14642 | − | 1.23924i | 0.398581 | − | 0.230121i | −0.287291 | − | 0.957843i | \(-0.592755\pi\) |
0.685872 | + | 0.727723i | \(0.259421\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 2.40107 | − | 2.51817i | 0.431245 | − | 0.452277i | −0.471875 | − | 0.881666i | \(-0.656422\pi\) |
0.903120 | + | 0.429389i | \(0.141271\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 4.43676 | − | 0.830725i | 0.772342 | − | 0.144611i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 2.20559 | + | 0.105065i | 0.372813 | + | 0.0177593i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 3.28486 | − | 5.68954i | 0.540027 | − | 0.935354i | −0.458875 | − | 0.888501i | \(-0.651747\pi\) |
0.998902 | − | 0.0468534i | \(-0.0149193\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 2.58332 | + | 4.06701i | 0.413662 | + | 0.651243i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 1.45686 | + | 0.280786i | 0.227523 | + | 0.0438514i | 0.301738 | − | 0.953391i | \(-0.402433\pi\) |
−0.0742156 | + | 0.997242i | \(0.523645\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −6.93510 | − | 6.00930i | −1.05759 | − | 0.916409i | −0.0609383 | − | 0.998142i | \(-0.519409\pi\) |
−0.996654 | + | 0.0817323i | \(0.973955\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −2.17681 | + | 3.67961i | −0.324500 | + | 0.548524i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 5.86207 | − | 11.3708i | 0.855071 | − | 1.65861i | 0.107716 | − | 0.994182i | \(-0.465646\pi\) |
0.747355 | − | 0.664425i | \(-0.231323\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 4.51613 | − | 0.870413i | 0.645162 | − | 0.124345i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −6.42619 | + | 0.889171i | −0.899847 | + | 0.124509i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 1.34621 | + | 1.55361i | 0.184916 | + | 0.213405i | 0.840637 | − | 0.541598i | \(-0.182181\pi\) |
−0.655721 | + | 0.755003i | \(0.727635\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −0.875587 | − | 3.60922i | −0.118064 | − | 0.486667i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 0.138398 | + | 0.0414362i | 0.0183313 | + | 0.00548836i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −0.862133 | − | 2.93616i | −0.112240 | − | 0.382255i | 0.884144 | − | 0.467214i | \(-0.154742\pi\) |
−0.996384 | + | 0.0849590i | \(0.972924\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 4.16017 | − | 10.3916i | 0.532655 | − | 1.33051i | −0.381209 | − | 0.924489i | \(-0.624492\pi\) |
0.913864 | − | 0.406020i | \(-0.133084\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 1.35684 | − | 4.44587i | 0.170945 | − | 0.560127i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 3.22916 | − | 2.29948i | 0.400529 | − | 0.285215i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 8.16291 | + | 0.605750i | 0.997258 | + | 0.0740041i | ||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −0.612710 | − | 0.0914151i | −0.0737616 | − | 0.0110051i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 3.54925 | + | 1.22841i | 0.421219 | + | 0.145785i | 0.529451 | − | 0.848340i | \(-0.322398\pi\) |
−0.108232 | + | 0.994126i | \(0.534519\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −3.48722 | − | 1.39607i | −0.408148 | − | 0.163398i | 0.158498 | − | 0.987359i | \(-0.449335\pi\) |
−0.566646 | + | 0.823962i | \(0.691759\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −4.55840 | − | 2.38072i | −0.526359 | − | 0.274902i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 1.85030 | + | 3.58908i | 0.210861 | + | 0.409014i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −2.37878 | + | 0.577087i | −0.267634 | + | 0.0649273i | −0.367330 | − | 0.930091i | \(-0.619728\pi\) |
0.0996961 | + | 0.995018i | \(0.468213\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 6.38033 | + | 6.34755i | 0.708926 | + | 0.705283i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 3.35310 | − | 4.26381i | 0.368051 | − | 0.468014i | −0.566388 | − | 0.824139i | \(-0.691660\pi\) |
0.934439 | + | 0.356124i | \(0.115902\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 1.01017 | + | 5.24124i | 0.109568 | + | 0.568493i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −4.06414 | + | 1.38251i | −0.435721 | + | 0.148221i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −4.10997 | + | 6.39524i | −0.435656 | + | 0.677894i | −0.987778 | − | 0.155870i | \(-0.950182\pi\) |
0.552122 | + | 0.833763i | \(0.313818\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −2.82253 | + | 3.25737i | −0.295881 | + | 0.341465i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −4.92754 | + | 3.46963i | −0.510962 | + | 0.359784i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 0.0280235 | − | 0.115514i | 0.00287515 | − | 0.0118515i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 1.05636 | + | 0.609890i | 0.107257 | + | 0.0619250i | 0.552669 | − | 0.833401i | \(-0.313609\pi\) |
−0.445412 | + | 0.895326i | \(0.646943\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −7.81780 | − | 0.0829650i | −0.785719 | − | 0.00833829i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −6.68674 | + | 9.39021i | −0.665355 | + | 0.934360i | −0.999968 | − | 0.00799517i | \(-0.997455\pi\) |
0.334613 | + | 0.942356i | \(0.391394\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 0.528083 | + | 0.503526i | 0.0520335 | + | 0.0496139i | 0.715650 | − | 0.698459i | \(-0.246131\pi\) |
−0.663616 | + | 0.748073i | \(0.730979\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −3.71188 | − | 0.921374i | −0.362243 | − | 0.0899169i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −6.25579 | + | 0.899446i | −0.604770 | + | 0.0869527i | −0.437896 | − | 0.899026i | \(-0.644276\pi\) |
−0.166874 | + | 0.985978i | \(0.553367\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 3.35712 | − | 11.4333i | 0.321554 | − | 1.09511i | −0.627138 | − | 0.778908i | \(-0.715774\pi\) |
0.948692 | − | 0.316203i | \(-0.102408\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −7.49724 | + | 8.56007i | −0.711606 | + | 0.812486i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −6.30125 | + | 4.95536i | −0.592772 | + | 0.466161i | −0.868919 | − | 0.494954i | \(-0.835185\pi\) |
0.276147 | + | 0.961115i | \(0.410942\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −0.0484505 | + | 0.507396i | −0.00451803 | + | 0.0473149i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −3.01921 | − | 7.77989i | −0.279126 | − | 0.719251i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −2.41083 | − | 5.27899i | −0.221001 | − | 0.483924i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −3.04572 | + | 2.90409i | −0.276883 | + | 0.264008i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −2.38061 | − | 0.967738i | −0.214652 | − | 0.0872580i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −4.71775 | + | 10.3304i | −0.421969 | + | 0.923983i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 11.8766 | − | 1.13408i | 1.05388 | − | 0.100633i | 0.446292 | − | 0.894887i | \(-0.352744\pi\) |
0.607586 | + | 0.794254i | \(0.292138\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 9.75864 | + | 12.5455i | 0.859200 | + | 1.10457i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −3.67671 | − | 5.72108i | −0.321236 | − | 0.499853i | 0.642653 | − | 0.766157i | \(-0.277834\pi\) |
−0.963889 | + | 0.266305i | \(0.914197\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 0.129236i | 0.0112062i | ||||||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 4.93771 | − | 5.51843i | 0.424970 | − | 0.474951i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 1.14559 | − | 0.736228i | 0.0978746 | − | 0.0629002i | −0.490788 | − | 0.871279i | \(-0.663291\pi\) |
0.588663 | + | 0.808379i | \(0.299655\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 10.8784 | + | 1.56408i | 0.922694 | + | 0.132663i | 0.587258 | − | 0.809400i | \(-0.300207\pi\) |
0.335436 | + | 0.942063i | \(0.391116\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −13.7894 | + | 17.3445i | −1.16128 | + | 1.46067i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 6.59431 | + | 3.01152i | 0.551444 | + | 0.251836i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 1.31273 | + | 3.27905i | 0.109017 | + | 0.272310i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −7.96602 | − | 0.0422677i | −0.657026 | − | 0.00348618i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −15.7872 | + | 7.20977i | −1.29334 | + | 0.590648i | −0.938822 | − | 0.344403i | \(-0.888081\pi\) |
−0.354516 | + | 0.935050i | \(0.615354\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 0.992148 | + | 2.86662i | 0.0807399 | + | 0.233283i | 0.978145 | − | 0.207926i | \(-0.0666712\pi\) |
−0.897405 | + | 0.441208i | \(0.854550\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 11.2175 | + | 0.653730i | 0.906881 | + | 0.0528509i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 3.06514 | + | 3.89764i | 0.246198 | + | 0.313066i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 0.328555 | + | 6.89723i | 0.0262216 | + | 0.550459i | 0.973311 | + | 0.229489i | \(0.0737056\pi\) |
−0.947090 | + | 0.320969i | \(0.895991\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −1.76392 | − | 3.09299i | −0.139888 | − | 0.245290i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −0.0788676 | − | 0.548536i | −0.00621564 | − | 0.0432307i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 3.61487 | + | 6.26113i | 0.283138 | + | 0.490410i | 0.972156 | − | 0.234335i | \(-0.0752912\pi\) |
−0.689018 | + | 0.724744i | \(0.741958\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 0.271982 | + | 6.42693i | 0.0211738 | + | 0.500336i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −2.39412 | − | 1.70485i | −0.185263 | − | 0.131925i | 0.483663 | − | 0.875254i | \(-0.339306\pi\) |
−0.668925 | + | 0.743329i | \(0.733245\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 0.250374 | − | 5.25600i | 0.0192596 | − | 0.404308i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −0.221180 | − | 0.117014i | −0.0169141 | − | 0.00894827i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 5.89177 | + | 1.42933i | 0.447943 | + | 0.108670i | 0.453384 | − | 0.891315i | \(-0.350217\pi\) |
−0.00544065 | + | 0.999985i | \(0.501732\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 0.870640 | − | 4.51731i | 0.0658142 | − | 0.341477i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 0.475820 | + | 5.27887i | 0.0357648 | + | 0.396784i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −4.82757 | − | 3.10249i | −0.360829 | − | 0.231891i | 0.347647 | − | 0.937626i | \(-0.386981\pi\) |
−0.708476 | + | 0.705735i | \(0.750617\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 20.1033 | + | 10.3640i | 1.49427 | + | 0.770348i | 0.995352 | − | 0.0963033i | \(-0.0307019\pi\) |
0.498915 | + | 0.866651i | \(0.333732\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −10.5681 | + | 16.2540i | −0.781216 | + | 1.20153i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 7.35939 | + | 5.78748i | 0.541073 | + | 0.425504i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −7.37695 | + | 6.39217i | −0.539456 | + | 0.467442i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | −3.80267 | + | 7.09648i | −0.276604 | + | 0.516193i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −24.0016 | + | 12.3737i | −1.73669 | + | 0.895328i | −0.770527 | + | 0.637407i | \(0.780007\pi\) |
−0.966166 | + | 0.257921i | \(0.916963\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 2.62247 | − | 0.770026i | 0.188769 | − | 0.0554277i | −0.185981 | − | 0.982553i | \(-0.559546\pi\) |
0.374751 | + | 0.927126i | \(0.377728\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −6.26080 | + | 2.81916i | −0.448345 | + | 0.201884i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 0.305616 | − | 0.883020i | 0.0217743 | − | 0.0629126i | −0.933590 | − | 0.358343i | \(-0.883342\pi\) |
0.955364 | + | 0.295430i | \(0.0954630\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 0.0656217 | + | 0.0921528i | 0.00465180 | + | 0.00653254i | 0.816895 | − | 0.576786i | \(-0.195693\pi\) |
−0.812244 | + | 0.583319i | \(0.801754\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −13.6647 | − | 3.77853i | −0.963830 | − | 0.266517i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | −2.22756 | − | 3.12817i | −0.156344 | − | 0.219555i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −0.691541 | + | 1.99808i | −0.0482993 | + | 0.139552i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 1.01020 | + | 0.361681i | 0.0702135 | + | 0.0251386i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 0.208565 | − | 0.0612401i | 0.0144267 | − | 0.00423607i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −18.2747 | + | 9.42126i | −1.25808 | + | 0.648587i | −0.952778 | − | 0.303668i | \(-0.901789\pi\) |
−0.305305 | + | 0.952255i | \(0.598758\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −5.61639 | − | 3.28248i | −0.384829 | − | 0.224912i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 9.88316 | − | 8.56381i | 0.674026 | − | 0.584047i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −4.23772 | − | 3.33258i | −0.287675 | − | 0.226230i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 5.45452 | + | 3.54644i | 0.368583 | + | 0.239646i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −9.26079 | − | 4.77427i | −0.622948 | − | 0.321152i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −5.19600 | − | 3.33927i | −0.347950 | − | 0.223614i | 0.354979 | − | 0.934874i | \(-0.384488\pi\) |
−0.702928 | + | 0.711261i | \(0.748125\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 6.94281 | + | 5.58013i | 0.462854 | + | 0.372009i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 4.20062 | − | 21.7949i | 0.278805 | − | 1.44658i | −0.524704 | − | 0.851285i | \(-0.675824\pi\) |
0.803509 | − | 0.595292i | \(-0.202964\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 4.93842 | + | 1.19805i | 0.326340 | + | 0.0791693i | 0.395582 | − | 0.918431i | \(-0.370543\pi\) |
−0.0692419 | + | 0.997600i | \(0.522058\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −1.93479 | − | 6.72101i | −0.127300 | − | 0.442210i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 0.859288 | − | 18.0387i | 0.0562938 | − | 1.18175i | −0.777211 | − | 0.629240i | \(-0.783366\pi\) |
0.833505 | − | 0.552512i | \(-0.186331\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 14.8507 | + | 10.5751i | 0.968750 | + | 0.689844i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 4.23589 | − | 0.179259i | 0.275151 | − | 0.0116442i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 11.4331 | + | 19.8027i | 0.739545 | + | 1.28093i | 0.952700 | + | 0.303911i | \(0.0982925\pi\) |
−0.213156 | + | 0.977018i | \(0.568374\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −2.88317 | − | 20.0529i | −0.185722 | − | 1.29172i | −0.842934 | − | 0.538017i | \(-0.819174\pi\) |
0.657213 | − | 0.753705i | \(-0.271735\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −8.70218 | − | 12.9334i | −0.558245 | − | 0.829676i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 0.311869 | + | 6.54693i | 0.0199246 | + | 0.418268i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 0.143425 | + | 0.182380i | 0.00912595 | + | 0.0116046i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −7.13298 | + | 6.11480i | −0.452034 | + | 0.387510i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −2.54986 | − | 7.36734i | −0.160946 | − | 0.465022i | 0.835477 | − | 0.549525i | \(-0.185191\pi\) |
−0.996423 | + | 0.0845023i | \(0.973070\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −0.847869 | + | 0.387209i | −0.0533050 | + | 0.0243436i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 0.0490542 | − | 9.24504i | 0.00307190 | − | 0.578947i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −10.2940 | − | 25.7132i | −0.642122 | − | 1.60394i | −0.788724 | − | 0.614748i | \(-0.789258\pi\) |
0.146602 | − | 0.989196i | \(-0.453166\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −9.25947 | − | 4.22866i | −0.575355 | − | 0.262756i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 7.37057 | − | 0.980013i | 0.456227 | − | 0.0606613i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 6.22844 | + | 0.895514i | 0.384062 | + | 0.0552198i | 0.331642 | − | 0.943405i | \(-0.392397\pi\) |
0.0524201 | + | 0.998625i | \(0.483307\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −2.46453 | + | 1.58386i | −0.151395 | + | 0.0972957i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 9.13678 | − | 9.48114i | 0.559162 | − | 0.580236i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | − | 13.0797i | − | 0.797486i | −0.917063 | − | 0.398743i | \(-0.869447\pi\) | ||
0.917063 | − | 0.398743i | \(-0.130553\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 4.10696 | + | 6.39055i | 0.249480 | + | 0.388199i | 0.943295 | − | 0.331954i | \(-0.107708\pi\) |
−0.693815 | + | 0.720153i | \(0.744072\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 5.89256 | − | 4.58357i | 0.356634 | − | 0.277410i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −7.70270 | + | 0.735519i | −0.464491 | + | 0.0443535i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 6.98148 | − | 15.2873i | 0.419477 | − | 0.918526i | −0.575442 | − | 0.817843i | \(-0.695170\pi\) |
0.994919 | − | 0.100683i | \(-0.0321028\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 9.54044 | − | 4.23520i | 0.571171 | − | 0.253555i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −14.5570 | + | 13.8800i | −0.868396 | + | 0.828013i | −0.986291 | − | 0.165012i | \(-0.947234\pi\) |
0.117896 | + | 0.993026i | \(0.462385\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 0.488456 | + | 1.06957i | 0.0290357 | + | 0.0635793i | 0.923594 | − | 0.383372i | \(-0.125237\pi\) |
−0.894558 | + | 0.446951i | \(0.852510\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −0.0865182 | + | 0.186819i | −0.00512490 | + | 0.0110662i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 0.218519 | − | 2.28844i | 0.0128988 | − | 0.135082i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −2.33548 | + | 1.83664i | −0.137381 | + | 0.108038i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −1.58932 | − | 1.39199i | −0.0931679 | − | 0.0815999i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 0.126387 | − | 0.430435i | 0.00738362 | − | 0.0251463i | −0.955719 | − | 0.294282i | \(-0.904920\pi\) |
0.963102 | + | 0.269135i | \(0.0867379\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 4.31656 | − | 0.620627i | 0.251320 | − | 0.0361343i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 13.2544 | + | 2.77409i | 0.769099 | + | 0.160969i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −0.720061 | − | 0.686577i | −0.0416422 | − | 0.0397058i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −8.24744 | + | 11.5819i | −0.475375 | + | 0.667570i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 14.5234 | − | 13.7017i | 0.834348 | − | 0.787140i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 13.8145 | + | 7.97583i | 0.791018 | + | 0.456694i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −7.26725 | + | 29.9560i | −0.414764 | + | 1.70968i | 0.254859 | + | 0.966978i | \(0.417971\pi\) |
−0.669623 | + | 0.742701i | \(0.733544\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −0.727612 | − | 1.03335i | −0.0413924 | − | 0.0587852i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 4.38634 | − | 5.06210i | 0.248726 | − | 0.287045i | −0.617633 | − | 0.786466i | \(-0.711908\pi\) |
0.866360 | + | 0.499421i | \(0.166454\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 10.4654 | − | 16.2844i | 0.591538 | − | 0.920450i | −0.408433 | − | 0.912788i | \(-0.633925\pi\) |
0.999971 | − | 0.00766215i | \(-0.00243896\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 5.99611 | + | 2.81561i | 0.337843 | + | 0.158642i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 1.11635 | + | 5.79218i | 0.0627005 | + | 0.325321i | 0.999713 | − | 0.0239760i | \(-0.00763251\pi\) |
−0.937012 | + | 0.349297i | \(0.886420\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −3.99276 | + | 5.07721i | −0.223552 | + | 0.284269i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 10.9314 | + | 0.578878i | 0.610134 | + | 0.0323098i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −0.303602 | + | 0.0736529i | −0.0168928 | + | 0.00409816i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −3.78462 | − | 7.34113i | −0.209933 | − | 0.407213i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | −9.55458 | + | 18.2943i | −0.528369 | + | 1.01168i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −18.4020 | − | 7.36705i | −1.01453 | − | 0.406158i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −0.801830 | − | 0.277516i | −0.0440726 | − | 0.0152537i | 0.304943 | − | 0.952371i | \(-0.401363\pi\) |
−0.349015 | + | 0.937117i | \(0.613484\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 15.6208 | − | 12.0183i | 0.856017 | − | 0.658598i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −2.51000 | + | 11.3916i | −0.137136 | + | 0.622392i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −3.49556 | + | 2.48918i | −0.190415 | + | 0.135594i | −0.671289 | − | 0.741196i | \(-0.734259\pi\) |
0.480874 | + | 0.876790i | \(0.340320\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 12.3748 | − | 6.29676i | 0.672106 | − | 0.341993i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −3.37010 | + | 8.41811i | −0.182501 | + | 0.455866i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −5.06338 | − | 17.2443i | −0.273397 | − | 0.931104i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 0.253214 | − | 0.845741i | 0.0136326 | − | 0.0455332i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 5.13930 | + | 21.1845i | 0.275892 | + | 1.13724i | 0.926037 | + | 0.377433i | \(0.123193\pi\) |
−0.650145 | + | 0.759810i | \(0.725292\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −11.2600 | − | 12.9947i | −0.602732 | − | 0.695590i | 0.369600 | − | 0.929191i | \(-0.379495\pi\) |
−0.972333 | + | 0.233601i | \(0.924949\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 2.50923 | + | 14.2348i | 0.133933 | + | 0.759800i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 33.7883 | − | 6.51216i | 1.79837 | − | 0.346607i | 0.823147 | − | 0.567829i | \(-0.192216\pi\) |
0.975224 | + | 0.221221i | \(0.0710044\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −2.45261 | + | 4.75740i | −0.130171 | + | 0.252496i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 2.31795 | + | 9.78093i | 0.122679 | + | 0.517662i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 9.21787 | + | 7.98733i | 0.486501 | + | 0.421555i | 0.863263 | − | 0.504755i | \(-0.168417\pi\) |
−0.376762 | + | 0.926310i | \(0.622963\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −18.6498 | − | 3.59446i | −0.981569 | − | 0.189182i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 6.15277 | − | 3.90817i | 0.322937 | − | 0.205126i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 2.67653 | − | 4.63589i | 0.140096 | − | 0.242653i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −12.5256 | − | 0.596669i | −0.653832 | − | 0.0311459i | −0.281955 | − | 0.959428i | \(-0.590983\pi\) |
−0.371877 | + | 0.928282i | \(0.621286\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 3.71867 | + | 2.44599i | 0.193586 | + | 0.127333i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 2.19805 | − | 2.30525i | 0.114117 | − | 0.119682i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 17.8677 | − | 10.3159i | 0.925152 | − | 0.534137i | 0.0398769 | − | 0.999205i | \(-0.487303\pi\) |
0.885275 | + | 0.465068i | \(0.153970\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 11.4948 | − | 15.9623i | 0.593590 | − | 0.824289i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −6.61519 | − | 1.94239i | −0.340700 | − | 0.100038i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 3.61034 | − | 0.171982i | 0.185451 | − | 0.00883410i | 0.0453489 | − | 0.998971i | \(-0.485560\pi\) |
0.140102 | + | 0.990137i | \(0.455257\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −20.5602 | − | 2.07340i | −1.05333 | − | 0.106224i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 33.6647 | + | 3.21459i | 1.72019 | + | 0.164258i | 0.907952 | − | 0.419075i | \(-0.137645\pi\) |
0.812234 | + | 0.583332i | \(0.198251\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −5.43798 | + | 1.88210i | −0.277145 | + | 0.0959208i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −12.3543 | − | 24.6016i | −0.628005 | − | 1.25057i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 5.78914 | + | 6.07148i | 0.293521 | + | 0.307836i | 0.853938 | − | 0.520374i | \(-0.174208\pi\) |
−0.560417 | + | 0.828211i | \(0.689359\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 1.24367 | − | 0.497891i | 0.0628952 | − | 0.0251795i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 4.31976 | + | 10.9584i | 0.217903 | + | 0.552778i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −0.331586 | − | 3.47252i | −0.0166839 | − | 0.174722i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −0.615406 | + | 4.28024i | −0.0308864 | + | 0.214819i | −0.999420 | − | 0.0340648i | \(-0.989155\pi\) |
0.968533 | + | 0.248884i | \(0.0800638\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 0.0435284 | − | 0.219571i | 0.00217914 | − | 0.0109923i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 8.18648 | 0.408813 | 0.204407 | − | 0.978886i | \(-0.434474\pi\) | ||||
0.204407 | + | 0.978886i | \(0.434474\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −9.67881 | −0.482136 | ||||||||
\(404\) | 0 | 0 | ||||||||
\(405\) | −10.2478 | + | 7.71266i | −0.509216 | + | 0.383245i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −2.43660 | + | 16.9469i | −0.120778 | + | 0.840029i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 0.349654 | + | 3.66174i | 0.0172893 | + | 0.181062i | 0.999991 | − | 0.00413133i | \(-0.00131505\pi\) |
−0.982702 | + | 0.185193i | \(0.940709\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −2.19432 | + | 0.864992i | −0.108238 | + | 0.0426669i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −4.40181 | + | 1.76222i | −0.216599 | + | 0.0867131i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 5.33444 | + | 5.59460i | 0.261857 | + | 0.274628i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −17.9555 | − | 6.32133i | −0.879283 | − | 0.309557i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −19.7012 | + | 6.81865i | −0.962466 | + | 0.333113i | −0.762716 | − | 0.646734i | \(-0.776134\pi\) |
−0.199750 | + | 0.979847i | \(0.564013\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −2.93353 | − | 0.280118i | −0.142972 | − | 0.0136521i | 0.0233249 | − | 0.999728i | \(-0.492575\pi\) |
−0.166296 | + | 0.986076i | \(0.553181\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 29.2699 | − | 24.8236i | 1.42315 | − | 1.20697i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 11.1082 | − | 0.529151i | 0.538829 | − | 0.0256676i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −16.6409 | − | 4.88622i | −0.805312 | − | 0.236461i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −10.1893 | − | 7.33757i | −0.491945 | − | 0.354261i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −0.139674 | + | 0.0806411i | −0.00672788 | + | 0.00388434i | −0.503360 | − | 0.864077i | \(-0.667903\pi\) |
0.496632 | + | 0.867961i | \(0.334570\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −9.23625 | + | 9.68670i | −0.443866 | + | 0.465513i | −0.907218 | − | 0.420661i | \(-0.861798\pi\) |
0.463352 | + | 0.886174i | \(0.346647\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −1.12589 | − | 6.01321i | −0.0539825 | − | 0.288312i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | −0.0297984 | − | 0.00141947i | −0.00142545 | − | 6.79027e-5i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 10.2184 | − | 17.6988i | 0.487699 | − | 0.844719i | −0.512201 | − | 0.858865i | \(-0.671170\pi\) |
0.999900 | + | 0.0141468i | \(0.00450321\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 13.5199 | + | 2.75486i | 0.643806 | + | 0.131184i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 2.47875 | + | 0.477739i | 0.117769 | + | 0.0226981i | 0.247795 | − | 0.968812i | \(-0.420294\pi\) |
−0.130026 | + | 0.991511i | \(0.541506\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −8.18749 | − | 7.09450i | −0.388124 | − | 0.336312i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 29.2506 | − | 6.93199i | 1.38351 | − | 0.327872i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 15.3573 | − | 29.7891i | 0.724757 | − | 1.40583i | −0.181623 | − | 0.983368i | \(-0.558135\pi\) |
0.906380 | − | 0.422464i | \(-0.138835\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −3.79668 | + | 0.731751i | −0.178779 | + | 0.0344568i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | −0.720133 | − | 5.20452i | −0.0338348 | − | 0.244530i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | −4.02236 | − | 4.64206i | −0.188571 | − | 0.217623i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 1.47064 | + | 6.06204i | 0.0687935 | + | 0.283571i | 0.995810 | − | 0.0914510i | \(-0.0291505\pi\) |
−0.927016 | + | 0.375021i | \(0.877635\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | −18.8382 | − | 4.88887i | −0.879292 | − | 0.228193i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −0.207098 | − | 0.705312i | −0.00964552 | − | 0.0328496i | 0.954530 | − | 0.298116i | \(-0.0963583\pi\) |
−0.964175 | + | 0.265266i | \(0.914540\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 2.50929 | − | 6.26790i | 0.116616 | − | 0.291294i | −0.858564 | − | 0.512707i | \(-0.828643\pi\) |
0.975180 | + | 0.221413i | \(0.0710670\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −3.89486 | − | 7.65441i | −0.180620 | − | 0.354965i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 16.6138 | − | 11.8307i | 0.768796 | − | 0.547457i | −0.127010 | − | 0.991901i | \(-0.540538\pi\) |
0.895807 | + | 0.444444i | \(0.146599\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −0.267940 | − | 12.6799i | −0.0123723 | − | 0.585501i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 1.76486 | − | 11.8290i | 0.0813204 | − | 0.545050i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 22.5993 | + | 7.82169i | 1.03912 | + | 0.359642i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −0.229910 | − | 0.0920419i | −0.0105490 | − | 0.00422317i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 1.95512 | + | 5.84905i | 0.0895190 | + | 0.267810i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −9.11674 | − | 17.6840i | −0.416554 | − | 0.808003i | 0.583437 | − | 0.812158i | \(-0.301708\pi\) |
−0.999991 | + | 0.00415563i | \(0.998677\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −17.7600 | + | 4.30854i | −0.809788 | + | 0.196452i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | −0.0507587 | + | 0.958520i | −0.00230960 | + | 0.0436142i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −1.07455 | + | 1.36640i | −0.0487926 | + | 0.0620449i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −1.09713 | − | 5.69243i | −0.0497155 | − | 0.257949i | 0.948564 | − | 0.316586i | \(-0.102537\pi\) |
−0.998279 | + | 0.0586373i | \(0.981324\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | −4.03278 | − | 11.8551i | −0.182369 | − | 0.536107i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −18.9279 | + | 29.4524i | −0.854204 | + | 1.32917i | 0.0886844 | + | 0.996060i | \(0.471734\pi\) |
−0.942889 | + | 0.333108i | \(0.891903\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 6.07918 | − | 7.01575i | 0.273793 | − | 0.315973i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 1.70257 | − | 11.0109i | 0.0765250 | − | 0.494902i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 1.37198 | − | 5.65536i | 0.0615416 | − | 0.253678i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 29.2314 | + | 16.8767i | 1.30858 | + | 0.755507i | 0.981859 | − | 0.189615i | \(-0.0607240\pi\) |
0.326718 | + | 0.945122i | \(0.394057\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 3.49337 | + | 3.70288i | 0.156072 | + | 0.165432i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −9.88721 | + | 13.8846i | −0.440849 | + | 0.619086i | −0.973895 | − | 0.227001i | \(-0.927108\pi\) |
0.533046 | + | 0.846086i | \(0.321047\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −11.8896 | − | 11.3367i | −0.529079 | − | 0.504475i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −2.19567 | + | 8.84555i | −0.0975131 | + | 0.392845i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 27.9399 | − | 4.01716i | 1.23842 | − | 0.178057i | 0.508179 | − | 0.861251i | \(-0.330319\pi\) |
0.730237 | + | 0.683194i | \(0.239410\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −1.63972 | + | 5.58437i | −0.0725369 | + | 0.247038i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 0.336371 | + | 0.273301i | 0.0148511 | + | 0.0120665i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | −0.817369 | + | 0.642786i | −0.0360176 | + | 0.0283245i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −3.16912 | + | 33.1885i | −0.139378 | + | 1.45963i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −9.52863 | − | 4.41283i | −0.418261 | − | 0.193702i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −5.69828 | − | 12.4775i | −0.249646 | − | 0.546649i | 0.742774 | − | 0.669543i | \(-0.233510\pi\) |
−0.992420 | + | 0.122894i | \(0.960783\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 0.277148 | − | 0.264260i | 0.0121188 | − | 0.0115553i | −0.683995 | − | 0.729486i | \(-0.739759\pi\) |
0.696114 | + | 0.717931i | \(0.254911\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | −3.00069 | + | 7.38161i | −0.130961 | + | 0.322160i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 5.41377 | − | 11.8545i | 0.235827 | − | 0.516390i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −22.7685 | + | 2.17413i | −0.989935 | + | 0.0945274i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 0.969575 | − | 9.12899i | 0.0420760 | − | 0.396165i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −2.23131 | − | 3.47199i | −0.0966489 | − | 0.150389i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | − | 9.00675i | − | 0.389396i | ||||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 7.15702 | + | 6.89708i | 0.308848 | + | 0.297631i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | −10.0833 | + | 6.48013i | −0.434317 | + | 0.279119i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −16.3582 | − | 2.35195i | −0.703294 | − | 0.101118i | −0.218616 | − | 0.975811i | \(-0.570154\pi\) |
−0.484678 | + | 0.874693i | \(0.661063\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −30.6645 | − | 24.3793i | −1.31594 | − | 1.04622i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 15.4468 | + | 7.05432i | 0.661669 | + | 0.302174i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 1.10381 | + | 2.75718i | 0.0471955 | + | 0.117889i | 0.950093 | − | 0.311968i | \(-0.100988\pi\) |
−0.902897 | + | 0.429857i | \(0.858564\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 23.4296 | − | 24.0559i | 0.999951 | − | 1.02668i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −0.188045 | + | 0.0858772i | −0.00801098 | + | 0.00365849i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 1.24047 | + | 3.58409i | 0.0527500 | + | 0.152411i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | −10.5542 | − | 12.3116i | −0.448001 | − | 0.522598i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 24.7197 | + | 31.4337i | 1.04741 | + | 1.33189i | 0.941314 | + | 0.337531i | \(0.109592\pi\) |
0.106094 | + | 0.994356i | \(0.466166\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 1.21460 | + | 25.4975i | 0.0513720 | + | 1.07843i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 14.6863 | − | 8.37556i | 0.620056 | − | 0.353616i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −3.39797 | − | 23.6334i | −0.143208 | − | 0.996030i | −0.927014 | − | 0.375026i | \(-0.877634\pi\) |
0.783807 | − | 0.621005i | \(-0.213275\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −5.71200 | − | 9.89348i | −0.240306 | − | 0.416222i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 8.85087 | − | 10.7760i | 0.371702 | − | 0.452551i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 0.941694 | + | 0.670577i | 0.0394778 | + | 0.0281120i | 0.599626 | − | 0.800281i | \(-0.295316\pi\) |
−0.560148 | + | 0.828393i | \(0.689256\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −2.14806 | + | 45.0934i | −0.0898936 | + | 1.88710i | 0.282848 | + | 0.959165i | \(0.408721\pi\) |
−0.372742 | + | 0.927935i | \(0.621582\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 44.9460 | − | 12.9387i | 1.87765 | − | 0.540522i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 1.03201 | + | 0.250362i | 0.0430377 | + | 0.0104408i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −5.19434 | + | 26.9508i | −0.216243 | + | 1.12198i | 0.697779 | + | 0.716313i | \(0.254172\pi\) |
−0.914022 | + | 0.405664i | \(0.867040\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | −4.71490 | + | 0.424985i | −0.195944 | + | 0.0176618i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −7.07045 | − | 4.54390i | −0.293332 | − | 0.188513i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −4.76183 | − | 2.45489i | −0.197215 | − | 0.101671i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 11.5866 | − | 2.68100i | 0.479045 | − | 0.110846i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 2.28824 | + | 1.79949i | 0.0944459 | + | 0.0742730i | 0.664265 | − | 0.747497i | \(-0.268744\pi\) |
−0.569820 | + | 0.821770i | \(0.692987\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −0.219328 | + | 0.190049i | −0.00903727 | + | 0.00783084i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −0.816650 | + | 1.39731i | −0.0335925 | + | 0.0574774i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −8.77838 | + | 4.52557i | −0.360485 | + | 0.185843i | −0.628948 | − | 0.777447i | \(-0.716514\pi\) |
0.268464 | + | 0.963290i | \(0.413484\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 7.93542 | − | 2.33005i | 0.325321 | − | 0.0955227i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | −0.0804523 | − | 0.178669i | −0.00329269 | − | 0.00731242i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 12.1844 | − | 35.2044i | 0.497839 | − | 1.43841i | −0.364080 | − | 0.931368i | \(-0.618617\pi\) |
0.861920 | − | 0.507045i | \(-0.169262\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −7.04162 | − | 9.88857i | −0.287234 | − | 0.403363i | 0.645597 | − | 0.763678i | \(-0.276609\pi\) |
−0.932831 | + | 0.360315i | \(0.882669\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 21.9434 | + | 11.0221i | 0.893605 | + | 0.448854i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −3.47876 | − | 4.88524i | −0.141432 | − | 0.198613i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 3.42463 | − | 9.89481i | 0.139001 | − | 0.401618i | −0.853918 | − | 0.520407i | \(-0.825780\pi\) |
0.992919 | + | 0.118789i | \(0.0379014\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 2.73099 | + | 6.06499i | 0.110665 | + | 0.245766i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −34.1451 | + | 10.0259i | −1.38136 | + | 0.405604i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −27.7057 | + | 14.2833i | −1.11902 | + | 0.576896i | −0.915558 | − | 0.402187i | \(-0.868250\pi\) |
−0.203464 | + | 0.979082i | \(0.565220\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 1.84790 | − | 3.16179i | 0.0745143 | − | 0.127496i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −29.9576 | + | 25.9584i | −1.20605 | + | 1.04505i | −0.208292 | + | 0.978067i | \(0.566791\pi\) |
−0.997754 | + | 0.0669789i | \(0.978664\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 20.8262 | + | 16.3779i | 0.837075 | + | 0.658283i | 0.941783 | − | 0.336220i | \(-0.109149\pi\) |
−0.104709 | + | 0.994503i | \(0.533391\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −1.59449 | − | 0.954738i | −0.0639848 | − | 0.0383123i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 10.4695 | + | 5.39739i | 0.419451 | + | 0.216242i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −1.12631 | − | 0.723833i | −0.0450522 | − | 0.0289533i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −0.374975 | + | 0.0337990i | −0.0149751 | + | 0.00134980i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 4.65689 | − | 24.1623i | 0.185682 | − | 0.963412i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 28.0316 | + | 6.80039i | 1.11592 | + | 0.270719i | 0.750989 | − | 0.660315i | \(-0.229577\pi\) |
0.364931 | + | 0.931034i | \(0.381092\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 34.2217 | − | 9.85146i | 1.36019 | − | 0.391561i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −0.809000 | + | 16.9830i | −0.0321042 | + | 0.673950i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −10.4216 | − | 7.42117i | −0.412918 | − | 0.294038i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 8.43660 | + | 7.46856i | 0.333747 | + | 0.295452i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 4.54237 | + | 7.86762i | 0.179413 | + | 0.310752i | 0.941680 | − | 0.336511i | \(-0.109247\pi\) |
−0.762267 | + | 0.647263i | \(0.775913\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 4.62181 | + | 32.1454i | 0.182267 | + | 1.26769i | 0.851387 | + | 0.524538i | \(0.175762\pi\) |
−0.669120 | + | 0.743154i | \(0.733329\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −19.6758 | + | 11.2210i | −0.774732 | + | 0.441828i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −2.07032 | − | 43.4613i | −0.0813926 | − | 1.70864i | −0.558260 | − | 0.829666i | \(-0.688531\pi\) |
0.476867 | − | 0.878975i | \(-0.341772\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 4.92976 | + | 6.26870i | 0.193510 | + | 0.246068i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 6.07738 | + | 7.08932i | 0.238191 | + | 0.277853i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | −13.5176 | − | 39.0564i | −0.528983 | − | 1.52840i | −0.820394 | − | 0.571798i | \(-0.806246\pi\) |
0.291411 | − | 0.956598i | \(-0.405875\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 8.81576 | − | 4.02602i | 0.344460 | − | 0.157310i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −8.07268 | − | 7.86251i | −0.314945 | − | 0.306746i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −15.5343 | − | 38.8029i | −0.605132 | − | 1.51155i | −0.841708 | − | 0.539933i | \(-0.818449\pi\) |
0.236576 | − | 0.971613i | \(-0.423975\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 27.5555 | + | 12.5842i | 1.07178 | + | 0.489468i | 0.871563 | − | 0.490283i | \(-0.163107\pi\) |
0.200222 | + | 0.979751i | \(0.435834\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 14.1259 | + | 11.2306i | 0.548606 | + | 0.436159i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | −0.182299 | − | 0.0262107i | −0.00706926 | − | 0.00101641i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 0.745739 | − | 0.479257i | 0.0288751 | − | 0.0185569i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 7.70323 | + | 7.42344i | 0.297824 | + | 0.287007i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 29.1709i | 1.12613i | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −25.0388 | − | 38.9611i | −0.965174 | − | 1.50184i | −0.861832 | − | 0.507195i | \(-0.830683\pi\) |
−0.103343 | − | 0.994646i | \(-0.532954\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −9.91629 | − | 11.8190i | −0.381678 | − | 0.454914i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −21.2689 | + | 2.03094i | −0.817432 | + | 0.0780553i | −0.495391 | − | 0.868670i | \(-0.664975\pi\) |
−0.322041 | + | 0.946726i | \(0.604369\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 0.785123 | − | 1.71918i | 0.0301302 | − | 0.0659760i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −14.4776 | + | 35.6144i | −0.554782 | + | 1.36475i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −5.96693 | + | 5.68946i | −0.228318 | + | 0.217701i | −0.795599 | − | 0.605823i | \(-0.792844\pi\) |
0.567281 | + | 0.823524i | \(0.307995\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 0.806174 | + | 1.76527i | 0.0308023 | + | 0.0674477i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −7.98680 | − | 3.69879i | −0.304715 | − | 0.141118i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 0.543575 | − | 5.69257i | 0.0207086 | − | 0.216870i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −11.6624 | + | 9.17143i | −0.443659 | + | 0.348898i | −0.814863 | − | 0.579654i | \(-0.803188\pi\) |
0.371203 | + | 0.928552i | \(0.378945\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 1.02347 | + | 12.0706i | 0.0388782 | + | 0.458523i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −4.41254 | + | 15.0277i | −0.167377 | + | 0.570034i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 5.50053 | − | 0.790857i | 0.208347 | − | 0.0299558i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −7.53556 | + | 30.3580i | −0.285021 | + | 1.14825i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −2.13427 | − | 2.03502i | −0.0806103 | − | 0.0768618i | 0.648703 | − | 0.761042i | \(-0.275312\pi\) |
−0.729313 | + | 0.684180i | \(0.760160\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −0.317854 | + | 0.446364i | −0.0119881 | + | 0.0168349i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −21.6693 | − | 22.9689i | −0.816111 | − | 0.865057i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 15.4685 | + | 8.93074i | 0.581753 | + | 0.335875i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 1.26490 | − | 5.21399i | 0.0475043 | − | 0.195815i | −0.943115 | − | 0.332467i | \(-0.892119\pi\) |
0.990619 | + | 0.136652i | \(0.0436341\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −7.25710 | − | 1.12214i | −0.272163 | − | 0.0420836i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 0.814948 | − | 0.940501i | 0.0305201 | − | 0.0352220i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −5.58542 | + | 8.69108i | −0.208883 | + | 0.325028i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −12.7549 | − | 37.4953i | −0.476340 | − | 1.40029i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 6.71790 | + | 34.8558i | 0.250535 | + | 1.29990i | 0.861303 | + | 0.508092i | \(0.169649\pi\) |
−0.610768 | + | 0.791810i | \(0.709139\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 0.698871 | − | 0.888687i | 0.0260273 | − | 0.0330964i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −1.85559 | + | 35.0407i | −0.0690102 | + | 1.30318i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 7.15144 | − | 1.73492i | 0.265598 | − | 0.0644333i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 4.27368 | + | 8.28979i | 0.158502 | + | 0.307451i | 0.954692 | − | 0.297596i | \(-0.0961847\pi\) |
−0.796190 | + | 0.605047i | \(0.793154\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 10.4288 | + | 24.9046i | 0.386251 | + | 0.922394i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −31.9085 | − | 12.7742i | −1.18018 | − | 0.472472i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −37.0304 | − | 12.8163i | −1.36775 | − | 0.473382i | −0.458151 | − | 0.888874i | \(-0.651488\pi\) |
−0.909597 | + | 0.415493i | \(0.863609\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 1.67523 | − | 11.2282i | 0.0617916 | − | 0.414158i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −20.3361 | + | 6.44090i | −0.749089 | + | 0.237254i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −4.98582 | + | 3.55039i | −0.183406 | + | 0.130603i | −0.668073 | − | 0.744096i | \(-0.732880\pi\) |
0.484666 | + | 0.874699i | \(0.338941\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −0.182250 | − | 0.358169i | −0.00669513 | − | 0.0131577i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −16.6185 | + | 41.5110i | −0.609674 | + | 1.52289i | 0.226263 | + | 0.974066i | \(0.427349\pi\) |
−0.835937 | + | 0.548825i | \(0.815075\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −6.96818 | − | 23.7315i | −0.255295 | − | 0.869453i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 14.1784 | − | 7.98649i | 0.518760 | − | 0.292211i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 2.30870 | + | 9.51658i | 0.0843580 | + | 0.347728i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 25.8809 | + | 29.8682i | 0.944408 | + | 1.08990i | 0.995830 | + | 0.0912277i | \(0.0290791\pi\) |
−0.0514223 | + | 0.998677i | \(0.516375\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 1.85077 | + | 13.3758i | 0.0674459 | + | 0.487443i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −4.24484 | + | 0.818127i | −0.154486 | + | 0.0297747i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −12.3112 | + | 23.8803i | −0.447457 | + | 0.867946i | 0.551962 | + | 0.833869i | \(0.313879\pi\) |
−0.999419 | + | 0.0340765i | \(0.989151\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 1.57093 | − | 0.372290i | 0.0570213 | − | 0.0135133i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −25.0471 | − | 21.7035i | −0.907958 | − | 0.786750i | 0.0695652 | − | 0.997577i | \(-0.477839\pi\) |
−0.977523 | + | 0.210827i | \(0.932384\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −18.1294 | − | 3.49416i | −0.656329 | − | 0.126497i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −3.19719 | + | 15.6907i | −0.115594 | + | 0.567298i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −4.25621 | + | 7.37197i | −0.153683 | + | 0.266186i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 3.40997 | + | 0.162437i | 0.122966 | + | 0.00585762i | 0.108975 | − | 0.994044i | \(-0.465243\pi\) |
0.0139916 | + | 0.999902i | \(0.495546\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 8.82886 | + | 47.1535i | 0.317964 | + | 1.69819i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 11.5079 | − | 12.0691i | 0.413910 | − | 0.434096i | −0.483466 | − | 0.875363i | \(-0.660622\pi\) |
0.897376 | + | 0.441267i | \(0.145471\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 8.94671 | − | 5.16538i | 0.321375 | − | 0.185546i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 14.3075 | + | 10.3031i | 0.513277 | + | 0.369623i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −0.118738 | − | 0.0348646i | −0.00425422 | − | 0.00124915i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −9.77688 | + | 0.465730i | −0.349844 | + | 0.0166651i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −12.8526 | − | 0.817466i | −0.459314 | − | 0.0292139i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −9.79578 | − | 0.935384i | −0.349626 | − | 0.0333853i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −19.8262 | + | 6.86191i | −0.706727 | + | 0.244601i | −0.656705 | − | 0.754147i | \(-0.728050\pi\) |
−0.0500221 | + | 0.998748i | \(0.515929\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | −10.2804 | − | 3.61928i | −0.365993 | − | 0.128850i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 8.57132 | + | 8.98934i | 0.304761 | + | 0.319624i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −28.9067 | + | 11.5725i | −1.02651 | + | 0.410951i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 4.72067 | − | 1.86087i | 0.167425 | − | 0.0659983i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 0.315915 | + | 3.30841i | 0.0111903 | + | 0.117190i | 0.999341 | − | 0.0362963i | \(-0.0115560\pi\) |
−0.988151 | + | 0.153486i | \(0.950950\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 6.81918 | − | 47.4284i | 0.241245 | − | 1.67790i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −18.7166 | + | 13.0309i | −0.661320 | + | 0.460426i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 9.78919 | 0.345453 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 0.789754 | 0.0278352 | ||||||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −4.40542 | + | 22.2223i | −0.155078 | + | 0.782263i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | −7.37705 | + | 51.3085i | −0.259363 | + | 1.80391i | 0.278022 | + | 0.960575i | \(0.410321\pi\) |
−0.537386 | + | 0.843337i | \(0.680588\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 4.74317 | + | 49.6727i | 0.166555 | + | 1.74424i | 0.563244 | + | 0.826291i | \(0.309553\pi\) |
−0.396688 | + | 0.917953i | \(0.629841\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −4.82526 | − | 12.2407i | −0.169229 | − | 0.429302i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −9.56501 | + | 3.82925i | −0.335048 | + | 0.134133i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 0.528183 | + | 0.553942i | 0.0184788 | + | 0.0193800i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | −11.5552 | + | 5.80274i | −0.403771 | + | 0.202764i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −35.8686 | + | 12.4142i | −1.25182 | + | 0.433260i | −0.870952 | − | 0.491368i | \(-0.836497\pi\) |
−0.380871 | + | 0.924628i | \(0.624376\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 40.2095 | + | 3.83954i | 1.40161 | + | 0.133838i | 0.768317 | − | 0.640070i | \(-0.221095\pi\) |
0.633298 | + | 0.773908i | \(0.281701\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 13.3345 | + | 1.34473i | 0.464249 | + | 0.0468174i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −38.4021 | + | 1.82932i | −1.33537 | + | 0.0636115i | −0.703075 | − | 0.711116i | \(-0.748190\pi\) |
−0.632296 | + | 0.774727i | \(0.717887\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −10.8813 | − | 3.19504i | −0.377924 | − | 0.110968i | 0.0872531 | − | 0.996186i | \(-0.472191\pi\) |
−0.465177 | + | 0.885218i | \(0.654009\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −17.0104 | + | 23.6215i | −0.590084 | + | 0.819421i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 14.9186 | − | 8.61326i | 0.516899 | − | 0.298432i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 2.89039 | − | 3.03135i | 0.100026 | − | 0.104904i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −17.6356 | + | 3.98222i | −0.609574 | + | 0.137646i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | −17.8042 | − | 0.848117i | −0.614668 | − | 0.0292803i | −0.262060 | − | 0.965051i | \(-0.584402\pi\) |
−0.352608 | + | 0.935771i | \(0.614705\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −11.4286 | + | 19.7949i | −0.394089 | + | 0.682582i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 29.4071 | − | 18.6790i | 1.01283 | − | 0.643340i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 7.36328 | + | 1.41916i | 0.253304 | + | 0.0488204i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 4.92791 | + | 4.27006i | 0.169325 | + | 0.146721i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | −0.469636 | − | 1.98170i | −0.0161179 | − | 0.0680119i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 1.07672 | − | 2.08854i | 0.0369094 | − | 0.0715942i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 38.8301 | − | 7.48389i | 1.32952 | − | 0.256244i | 0.525472 | − | 0.850811i | \(-0.323889\pi\) |
0.804046 | + | 0.594567i | \(0.202677\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 0.209916 | − | 0.288262i | 0.00717898 | − | 0.00985837i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −10.3061 | − | 11.8939i | −0.352050 | − | 0.406287i | 0.551911 | − | 0.833903i | \(-0.313899\pi\) |
−0.903960 | + | 0.427616i | \(0.859354\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −0.141362 | − | 0.582702i | −0.00482321 | − | 0.0198815i | 0.969349 | − | 0.245687i | \(-0.0790137\pi\) |
−0.974172 | + | 0.225806i | \(0.927499\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −1.14204 | + | 3.81443i | −0.0389205 | + | 0.129995i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | 15.1957 | + | 51.7517i | 0.517267 | + | 1.76165i | 0.639126 | + | 0.769102i | \(0.279296\pi\) |
−0.121859 | + | 0.992547i | \(0.538886\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −3.21112 | + | 8.02098i | −0.109181 | + | 0.272721i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | 4.58655 | − | 2.33381i | 0.155767 | − | 0.0792603i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 5.19628 | − | 3.70025i | 0.176272 | − | 0.125522i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −14.4501 | − | 17.5967i | −0.489624 | − | 0.596240i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 2.23140 | + | 2.90028i | 0.0755215 | + | 0.0981595i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 16.6287 | + | 5.75526i | 0.562154 | + | 0.194563i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 49.3682 | + | 19.7641i | 1.66705 | + | 0.667385i | 0.997176 | − | 0.0750936i | \(-0.0239255\pi\) |
0.669870 | + | 0.742478i | \(0.266350\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | −0.359706 | + | 0.688735i | −0.0121326 | + | 0.0232305i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −19.0945 | − | 37.0381i | −0.643310 | − | 1.24785i | −0.954702 | − | 0.297565i | \(-0.903825\pi\) |
0.311392 | − | 0.950282i | \(-0.399205\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 44.2066 | − | 10.7244i | 1.48767 | − | 0.360905i | 0.592114 | − | 0.805854i | \(-0.298293\pi\) |
0.895556 | + | 0.444949i | \(0.146778\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −7.54281 | − | 0.399431i | −0.253549 | − | 0.0134267i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 17.0181 | − | 21.6403i | 0.571411 | − | 0.726609i | −0.411352 | − | 0.911477i | \(-0.634943\pi\) |
0.982763 | + | 0.184868i | \(0.0591858\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −3.49845 | − | 18.1517i | −0.117334 | − | 0.608788i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −21.5847 | − | 9.17739i | −0.723115 | − | 0.307454i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | −0.576887 | + | 0.897653i | −0.0193048 | + | 0.0300388i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 5.35542 | − | 6.18049i | 0.179012 | − | 0.206591i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 0.992127 | + | 1.40901i | 0.0331261 | + | 0.0470455i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 2.03310 | − | 8.38057i | 0.0678078 | − | 0.279508i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 6.66816 | + | 3.84986i | 0.222149 | + | 0.128258i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 17.9132 | − | 16.8997i | 0.596115 | − | 0.562386i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | −18.6965 | + | 26.2555i | −0.621492 | + | 0.872763i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −31.5127 | − | 30.0473i | −1.04636 | − | 0.997705i | −0.0463636 | − | 0.998925i | \(-0.514763\pi\) |
−0.999999 | + | 0.00121963i | \(0.999612\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | −29.2900 | + | 18.3873i | −0.971487 | + | 0.609868i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 46.1549 | − | 6.63607i | 1.52918 | − | 0.219863i | 0.674209 | − | 0.738540i | \(-0.264485\pi\) |
0.854970 | + | 0.518677i | \(0.173575\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −3.98264 | + | 13.5636i | −0.131806 | + | 0.448891i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | −20.7844 | − | 18.2037i | −0.687110 | − | 0.601797i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | −8.28279 | + | 6.51366i | −0.273522 | + | 0.215100i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −1.69859 | + | 17.7885i | −0.0560315 | + | 0.586788i | 0.923238 | + | 0.384228i | \(0.125532\pi\) |
−0.979270 | + | 0.202560i | \(0.935074\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 22.4365 | − | 48.4472i | 0.739308 | − | 1.59639i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | −4.34013 | − | 9.50355i | −0.142857 | − | 0.312813i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 14.1173 | − | 13.4608i | 0.464174 | − | 0.442589i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 0.888159 | + | 2.00072i | 0.0291710 | + | 0.0657121i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 6.72664 | − | 14.7293i | 0.220694 | − | 0.483252i | −0.766606 | − | 0.642117i | \(-0.778056\pi\) |
0.987300 | + | 0.158865i | \(0.0507835\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −0.381880 | + | 0.0364651i | −0.0125156 | + | 0.00119509i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | −9.15731 | + | 7.12307i | −0.299797 | + | 0.233199i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −7.52058 | − | 11.7022i | −0.245949 | − | 0.382704i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 36.9927i | 1.20850i | 0.796795 | + | 0.604250i | \(0.206527\pi\) | ||||
−0.796795 | + | 0.604250i | \(0.793473\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −23.2653 | + | 24.1422i | −0.759235 | + | 0.787850i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 30.1623 | − | 19.3842i | 0.983264 | − | 0.631905i | 0.0529219 | − | 0.998599i | \(-0.483147\pi\) |
0.930342 | + | 0.366693i | \(0.119510\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 0.525253 | + | 0.0755199i | 0.0171046 | + | 0.00245927i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | −9.23898 | − | 6.80325i | −0.300544 | − | 0.221310i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −5.10967 | − | 2.33351i | −0.166042 | − | 0.0758289i | 0.330660 | − | 0.943750i | \(-0.392729\pi\) |
−0.496702 | + | 0.867921i | \(0.665456\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 3.88350 | + | 9.70051i | 0.126064 | + | 0.314892i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 0.0542106 | − | 10.2168i | 0.00175790 | − | 0.331304i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −6.34797 | + | 2.89902i | −0.205631 | + | 0.0939084i | −0.515568 | − | 0.856849i | \(-0.672419\pi\) |
0.309937 | + | 0.950757i | \(0.399692\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −12.5863 | − | 36.3659i | −0.407285 | − | 1.17677i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 8.49371 | − | 7.28130i | 0.274563 | − | 0.235371i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | −1.30430 | − | 1.65855i | −0.0421180 | − | 0.0535574i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 0.898997 | + | 18.8723i | 0.0289999 | + | 0.608783i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −18.3774 | − | 4.66535i | −0.592204 | − | 0.150339i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 0.554322 | + | 3.85539i | 0.0178443 | + | 0.124109i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 13.9889 | + | 24.2294i | 0.449852 | + | 0.779166i | 0.998376 | − | 0.0569685i | \(-0.0181435\pi\) |
−0.548524 | + | 0.836135i | \(0.684810\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 0.540622 | − | 0.0228787i | 0.0173673 | − | 0.000734969i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 28.3879 | + | 20.2149i | 0.911010 | + | 0.648728i | 0.936394 | − | 0.350950i | \(-0.114141\pi\) |
−0.0253837 | + | 0.999678i | \(0.508081\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 0.810259 | − | 17.0094i | 0.0259757 | − | 0.545297i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 3.95743 | + | 13.7472i | 0.126739 | + | 0.440262i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | −20.0489 | − | 4.86380i | −0.641420 | − | 0.155607i | −0.0981593 | − | 0.995171i | \(-0.531295\pi\) |
−0.543261 | + | 0.839564i | \(0.682811\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 3.74935 | − | 19.4535i | 0.119830 | − | 0.621736i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 22.3949 | − | 27.8637i | 0.715013 | − | 0.889619i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 23.1987 | + | 14.9089i | 0.739923 | + | 0.475520i | 0.855516 | − | 0.517777i | \(-0.173240\pi\) |
−0.115592 | + | 0.993297i | \(0.536877\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 1.18360 | + | 0.610186i | 0.0377125 | + | 0.0194421i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 28.7834 | + | 18.7145i | 0.916187 | + | 0.595690i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −2.57989 | − | 2.02885i | −0.0820358 | − | 0.0645137i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −16.2720 | + | 14.0997i | −0.516896 | + | 0.447893i | −0.873826 | − | 0.486238i | \(-0.838369\pi\) |
0.356930 | + | 0.934131i | \(0.383823\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 1.26883 | + | 0.741562i | 0.0402650 | + | 0.0235328i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −0.143299 | + | 0.0738755i | −0.00454287 | + | 0.00234201i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 12.1773 | − | 3.57558i | 0.385659 | − | 0.113240i | −0.0831548 | − | 0.996537i | \(-0.526500\pi\) |
0.468814 | + | 0.883297i | \(0.344681\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | −30.5875 | + | 15.1576i | −0.967746 | + | 0.479566i |
(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 | 804.2.ba.b.41.2 | ✓ | 440 | |
3.2 | odd | 2 | inner | 804.2.ba.b.41.14 | yes | 440 | |
67.18 | odd | 66 | inner | 804.2.ba.b.353.14 | yes | 440 | |
201.152 | even | 66 | inner | 804.2.ba.b.353.2 | yes | 440 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
804.2.ba.b.41.2 | ✓ | 440 | 1.1 | even | 1 | trivial | |
804.2.ba.b.41.14 | yes | 440 | 3.2 | odd | 2 | inner | |
804.2.ba.b.353.2 | yes | 440 | 201.152 | even | 66 | inner | |
804.2.ba.b.353.14 | yes | 440 | 67.18 | odd | 66 | inner |