Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [729,2,Mod(244,729)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(729, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("729.244");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 729 = 3^{6} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 729.c (of order \(3\), degree \(2\), not 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: | \(5.82109430735\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{3})\) |
Coefficient field: | 12.0.1952986685049.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: |
\( x^{12} - 6 x^{11} + 27 x^{10} - 80 x^{9} + 186 x^{8} - 330 x^{7} + 463 x^{6} - 504 x^{5} + 420 x^{4} - 258 x^{3} + 108 x^{2} - 27 x + 3 \)
|
Coefficient ring: | \(\Z[a_1, \ldots, a_{4}]\) |
Coefficient ring index: | \( 3^{3} \) |
Twist minimal: | no (minimal twist has level 27) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 244.2 | ||
Root | \(0.500000 + 2.22827i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 729.244 |
Dual form | 729.2.c.b.487.2 |
$q$-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 \(\left(\mathbb{Z}/729\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.05831 | − | 1.83305i | −0.748339 | − | 1.29616i | −0.948618 | − | 0.316423i | \(-0.897518\pi\) |
0.200279 | − | 0.979739i | \(-0.435815\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −1.24005 | + | 2.14782i | −0.620023 | + | 1.07391i | ||||
\(5\) | −1.34155 | + | 2.32363i | −0.599959 | + | 1.03916i | 0.392868 | + | 0.919595i | \(0.371483\pi\) |
−0.992826 | + | 0.119564i | \(0.961850\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −0.486166 | − | 0.842065i | −0.183754 | − | 0.318271i | 0.759402 | − | 0.650621i | \(-0.225492\pi\) |
−0.943156 | + | 0.332351i | \(0.892158\pi\) | |||||||
\(8\) | 1.01617 | 0.359271 | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 5.67911 | 1.79589 | ||||||||
\(11\) | −0.158451 | − | 0.274445i | −0.0477748 | − | 0.0827484i | 0.841149 | − | 0.540803i | \(-0.181880\pi\) |
−0.888924 | + | 0.458055i | \(0.848546\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 0.757015 | − | 1.31119i | 0.209958 | − | 0.363658i | −0.741743 | − | 0.670684i | \(-0.766001\pi\) |
0.951701 | + | 0.307026i | \(0.0993339\pi\) | |||||||
\(14\) | −1.02903 | + | 1.78233i | −0.275020 | + | 0.476349i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 1.40466 | + | 2.43295i | 0.351166 | + | 0.608238i | ||||
\(17\) | −1.17468 | −0.284903 | −0.142451 | − | 0.989802i | \(-0.545498\pi\) | ||||
−0.142451 | + | 0.989802i | \(0.545498\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 6.22080 | 1.42715 | 0.713575 | − | 0.700579i | \(-0.247075\pi\) | ||||
0.713575 | + | 0.700579i | \(0.247075\pi\) | |||||||
\(20\) | −3.32716 | − | 5.76282i | −0.743977 | − | 1.28861i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −0.335381 | + | 0.580897i | −0.0715035 | + | 0.123848i | ||||
\(23\) | 1.08137 | − | 1.87299i | 0.225481 | − | 0.390545i | −0.730982 | − | 0.682396i | \(-0.760938\pi\) |
0.956464 | + | 0.291851i | \(0.0942712\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −1.09951 | − | 1.90440i | −0.219901 | − | 0.380880i | ||||
\(26\) | −3.20463 | −0.628480 | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 2.41147 | 0.455726 | ||||||||
\(29\) | −2.20246 | − | 3.81476i | −0.408986 | − | 0.708384i | 0.585791 | − | 0.810462i | \(-0.300784\pi\) |
−0.994776 | + | 0.102078i | \(0.967451\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 4.33661 | − | 7.51124i | 0.778879 | − | 1.34906i | −0.153710 | − | 0.988116i | \(-0.549122\pi\) |
0.932588 | − | 0.360942i | \(-0.117545\pi\) | |||||||
\(32\) | 3.98932 | − | 6.90970i | 0.705218 | − | 1.22147i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 1.24318 | + | 2.15325i | 0.213204 | + | 0.369280i | ||||
\(35\) | 2.60886 | 0.440978 | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −4.46665 | −0.734312 | −0.367156 | − | 0.930159i | \(-0.619668\pi\) | ||||
−0.367156 | + | 0.930159i | \(0.619668\pi\) | |||||||
\(38\) | −6.58355 | − | 11.4030i | −1.06799 | − | 1.84982i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −1.36325 | + | 2.36121i | −0.215548 | + | 0.373340i | ||||
\(41\) | 2.92259 | − | 5.06208i | 0.456432 | − | 0.790564i | −0.542337 | − | 0.840161i | \(-0.682460\pi\) |
0.998769 | + | 0.0495972i | \(0.0157937\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −2.79550 | − | 4.84194i | −0.426309 | − | 0.738389i | 0.570233 | − | 0.821483i | \(-0.306853\pi\) |
−0.996542 | + | 0.0830943i | \(0.973520\pi\) | |||||||
\(44\) | 0.785946 | 0.118486 | ||||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −4.57771 | −0.674946 | ||||||||
\(47\) | −1.23803 | − | 2.14434i | −0.180586 | − | 0.312784i | 0.761494 | − | 0.648172i | \(-0.224466\pi\) |
−0.942080 | + | 0.335388i | \(0.891133\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 3.02728 | − | 5.24341i | 0.432469 | − | 0.749059i | ||||
\(50\) | −2.32724 | + | 4.03090i | −0.329122 | + | 0.570055i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 1.87747 | + | 3.25187i | 0.260358 | + | 0.450953i | ||||
\(53\) | 10.8920 | 1.49613 | 0.748063 | − | 0.663628i | \(-0.230984\pi\) | ||||
0.748063 | + | 0.663628i | \(0.230984\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 0.850279 | 0.114652 | ||||||||
\(56\) | −0.494029 | − | 0.855683i | −0.0660174 | − | 0.114345i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −4.66177 | + | 8.07442i | −0.612120 | + | 1.06022i | ||||
\(59\) | −0.862105 | + | 1.49321i | −0.112237 | + | 0.194399i | −0.916672 | − | 0.399641i | \(-0.869135\pi\) |
0.804435 | + | 0.594040i | \(0.202468\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −0.507389 | − | 0.878823i | −0.0649645 | − | 0.112522i | 0.831714 | − | 0.555205i | \(-0.187360\pi\) |
−0.896678 | + | 0.442683i | \(0.854027\pi\) | |||||||
\(62\) | −18.3580 | −2.33146 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −11.2691 | −1.40864 | ||||||||
\(65\) | 2.03115 | + | 3.51805i | 0.251933 | + | 0.436360i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −0.428276 | + | 0.741795i | −0.0523222 | + | 0.0906247i | −0.891000 | − | 0.454003i | \(-0.849996\pi\) |
0.838678 | + | 0.544627i | \(0.183329\pi\) | |||||||
\(68\) | 1.45666 | − | 2.52301i | 0.176646 | − | 0.305960i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −2.76099 | − | 4.78218i | −0.330001 | − | 0.571579i | ||||
\(71\) | 9.59577 | 1.13881 | 0.569404 | − | 0.822058i | \(-0.307174\pi\) | ||||
0.569404 | + | 0.822058i | \(0.307174\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −15.2418 | −1.78392 | −0.891960 | − | 0.452113i | \(-0.850670\pi\) | ||||
−0.891960 | + | 0.452113i | \(0.850670\pi\) | |||||||
\(74\) | 4.72710 | + | 8.18758i | 0.549514 | + | 0.951787i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −7.71408 | + | 13.3612i | −0.884866 | + | 1.53263i | ||||
\(77\) | −0.154067 | + | 0.266852i | −0.0175576 | + | 0.0304106i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 5.60688 | + | 9.71141i | 0.630824 | + | 1.09262i | 0.987384 | + | 0.158346i | \(0.0506162\pi\) |
−0.356560 | + | 0.934272i | \(0.616050\pi\) | |||||||
\(80\) | −7.53771 | −0.842741 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −12.3721 | −1.36626 | ||||||||
\(83\) | 2.34247 | + | 4.05727i | 0.257119 | + | 0.445343i | 0.965469 | − | 0.260518i | \(-0.0838935\pi\) |
−0.708350 | + | 0.705861i | \(0.750560\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 1.57590 | − | 2.72953i | 0.170930 | − | 0.296059i | ||||
\(86\) | −5.91701 | + | 10.2486i | −0.638048 | + | 1.10513i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −0.161014 | − | 0.278884i | −0.0171641 | − | 0.0297291i | ||||
\(89\) | 15.4995 | 1.64295 | 0.821473 | − | 0.570248i | \(-0.193153\pi\) | ||||
0.821473 | + | 0.570248i | \(0.193153\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −1.47214 | −0.154322 | ||||||||
\(92\) | 2.68190 | + | 4.64519i | 0.279607 | + | 0.484294i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −2.62045 | + | 4.53876i | −0.270279 | + | 0.468137i | ||||
\(95\) | −8.34551 | + | 14.4549i | −0.856231 | + | 1.48304i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 2.77474 | + | 4.80600i | 0.281732 | + | 0.487975i | 0.971812 | − | 0.235759i | \(-0.0757576\pi\) |
−0.690079 | + | 0.723734i | \(0.742424\pi\) | |||||||
\(98\) | −12.8152 | −1.29453 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 5.45376 | 0.545376 | ||||||||
\(101\) | −5.06952 | − | 8.78067i | −0.504436 | − | 0.873709i | −0.999987 | − | 0.00513025i | \(-0.998367\pi\) |
0.495550 | − | 0.868579i | \(-0.334966\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 4.92665 | − | 8.53320i | 0.485437 | − | 0.840801i | −0.514423 | − | 0.857536i | \(-0.671994\pi\) |
0.999860 | + | 0.0167353i | \(0.00532726\pi\) | |||||||
\(104\) | 0.769258 | − | 1.33239i | 0.0754320 | − | 0.130652i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −11.5271 | − | 19.9655i | −1.11961 | − | 1.93922i | ||||
\(107\) | −5.17080 | −0.499880 | −0.249940 | − | 0.968261i | \(-0.580411\pi\) | ||||
−0.249940 | + | 0.968261i | \(0.580411\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −7.31065 | −0.700234 | −0.350117 | − | 0.936706i | \(-0.613858\pi\) | ||||
−0.350117 | + | 0.936706i | \(0.613858\pi\) | |||||||
\(110\) | −0.899860 | − | 1.55860i | −0.0857983 | − | 0.148607i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 1.36580 | − | 2.36564i | 0.129056 | − | 0.223532i | ||||
\(113\) | 5.18782 | − | 8.98557i | 0.488029 | − | 0.845291i | −0.511876 | − | 0.859059i | \(-0.671049\pi\) |
0.999905 | + | 0.0137681i | \(0.00438265\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 2.90142 | + | 5.02541i | 0.270559 | + | 0.468622i | ||||
\(116\) | 10.9246 | 1.01432 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 3.64950 | 0.335964 | ||||||||
\(119\) | 0.571092 | + | 0.989160i | 0.0523519 | + | 0.0906762i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 5.44979 | − | 9.43931i | 0.495435 | − | 0.858119i | ||||
\(122\) | −1.07395 | + | 1.86014i | −0.0972310 | + | 0.168409i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 10.7552 | + | 18.6286i | 0.965845 | + | 1.67289i | ||||
\(125\) | −7.51532 | −0.672191 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 5.22743 | 0.463860 | 0.231930 | − | 0.972733i | \(-0.425496\pi\) | ||||
0.231930 | + | 0.972733i | \(0.425496\pi\) | |||||||
\(128\) | 3.94758 | + | 6.83741i | 0.348920 | + | 0.604348i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 4.29917 | − | 7.44638i | 0.377062 | − | 0.653091i | ||||
\(131\) | −3.61715 | + | 6.26509i | −0.316032 | + | 0.547383i | −0.979656 | − | 0.200683i | \(-0.935684\pi\) |
0.663624 | + | 0.748066i | \(0.269017\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −3.02435 | − | 5.23832i | −0.262244 | − | 0.454220i | ||||
\(134\) | 1.81300 | 0.156619 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −1.19368 | −0.102357 | ||||||||
\(137\) | 5.62466 | + | 9.74220i | 0.480547 | + | 0.832332i | 0.999751 | − | 0.0223185i | \(-0.00710478\pi\) |
−0.519204 | + | 0.854650i | \(0.673771\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −4.69008 | + | 8.12346i | −0.397808 | + | 0.689023i | −0.993455 | − | 0.114223i | \(-0.963562\pi\) |
0.595648 | + | 0.803246i | \(0.296895\pi\) | |||||||
\(140\) | −3.23511 | + | 5.60338i | −0.273417 | + | 0.473572i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −10.1553 | − | 17.5895i | −0.852215 | − | 1.47608i | ||||
\(143\) | −0.479799 | −0.0401228 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 11.8188 | 0.981498 | ||||||||
\(146\) | 16.1306 | + | 27.9390i | 1.33498 | + | 2.31225i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 5.53885 | − | 9.59356i | 0.455290 | − | 0.788586i | ||||
\(149\) | 9.52562 | − | 16.4989i | 0.780369 | − | 1.35164i | −0.151357 | − | 0.988479i | \(-0.548364\pi\) |
0.931727 | − | 0.363160i | \(-0.118302\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −2.00700 | − | 3.47623i | −0.163327 | − | 0.282891i | 0.772733 | − | 0.634732i | \(-0.218889\pi\) |
−0.936060 | + | 0.351840i | \(0.885556\pi\) | |||||||
\(152\) | 6.32141 | 0.512734 | ||||||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 0.652204 | 0.0525561 | ||||||||
\(155\) | 11.6356 | + | 20.1534i | 0.934591 | + | 1.61876i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −3.63796 | + | 6.30113i | −0.290341 | + | 0.502885i | −0.973890 | − | 0.227019i | \(-0.927102\pi\) |
0.683550 | + | 0.729904i | \(0.260435\pi\) | |||||||
\(158\) | 11.8677 | − | 20.5554i | 0.944140 | − | 1.63530i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 10.7037 | + | 18.5394i | 0.846204 | + | 1.46567i | ||||
\(161\) | −2.10290 | −0.165732 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 12.4492 | 0.975094 | 0.487547 | − | 0.873097i | \(-0.337892\pi\) | ||||
0.487547 | + | 0.873097i | \(0.337892\pi\) | |||||||
\(164\) | 7.24830 | + | 12.5544i | 0.565997 | + | 0.980335i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 4.95811 | − | 8.58771i | 0.384824 | − | 0.666535i | ||||
\(167\) | −1.16594 | + | 2.01947i | −0.0902234 | + | 0.156272i | −0.907605 | − | 0.419825i | \(-0.862091\pi\) |
0.817382 | + | 0.576097i | \(0.195425\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 5.35386 | + | 9.27315i | 0.411835 | + | 0.713319i | ||||
\(170\) | −6.67116 | −0.511654 | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 13.8662 | 1.05729 | ||||||||
\(173\) | −1.79113 | − | 3.10234i | −0.136177 | − | 0.235866i | 0.789869 | − | 0.613275i | \(-0.210148\pi\) |
−0.926047 | + | 0.377409i | \(0.876815\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −1.06909 | + | 1.85171i | −0.0808154 | + | 0.139976i | ||||
\(176\) | 0.445141 | − | 0.771007i | 0.0335538 | − | 0.0581168i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −16.4033 | − | 28.4114i | −1.22948 | − | 2.12952i | ||||
\(179\) | 19.9957 | 1.49455 | 0.747275 | − | 0.664515i | \(-0.231362\pi\) | ||||
0.747275 | + | 0.664515i | \(0.231362\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 9.73232 | 0.723398 | 0.361699 | − | 0.932295i | \(-0.382197\pi\) | ||||
0.361699 | + | 0.932295i | \(0.382197\pi\) | |||||||
\(182\) | 1.55798 | + | 2.69851i | 0.115485 | + | 0.200027i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 1.09886 | − | 1.90328i | 0.0810090 | − | 0.140312i | ||||
\(185\) | 5.99222 | − | 10.3788i | 0.440557 | − | 0.763067i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 0.186130 | + | 0.322387i | 0.0136112 | + | 0.0235752i | ||||
\(188\) | 6.14088 | 0.447869 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 35.3286 | 2.56301 | ||||||||
\(191\) | −8.87826 | − | 15.3776i | −0.642409 | − | 1.11268i | −0.984894 | − | 0.173161i | \(-0.944602\pi\) |
0.342485 | − | 0.939523i | \(-0.388731\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −5.29217 | + | 9.16630i | −0.380939 | + | 0.659805i | −0.991197 | − | 0.132398i | \(-0.957732\pi\) |
0.610258 | + | 0.792203i | \(0.291066\pi\) | |||||||
\(194\) | 5.87308 | − | 10.1725i | 0.421663 | − | 0.730341i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 7.50794 | + | 13.0041i | 0.536282 | + | 0.928867i | ||||
\(197\) | −14.1589 | −1.00878 | −0.504390 | − | 0.863476i | \(-0.668282\pi\) | ||||
−0.504390 | + | 0.863476i | \(0.668282\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 7.54019 | 0.534510 | 0.267255 | − | 0.963626i | \(-0.413883\pi\) | ||||
0.267255 | + | 0.963626i | \(0.413883\pi\) | |||||||
\(200\) | −1.11729 | − | 1.93520i | −0.0790043 | − | 0.136839i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −10.7303 | + | 18.5854i | −0.754979 | + | 1.30766i | ||||
\(203\) | −2.14152 | + | 3.70922i | −0.150305 | + | 0.260336i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 7.84160 | + | 13.5821i | 0.547681 | + | 0.948612i | ||||
\(206\) | −20.8557 | −1.45309 | ||||||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 4.25341 | 0.294921 | ||||||||
\(209\) | −0.985693 | − | 1.70727i | −0.0681818 | − | 0.118094i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −2.60682 | + | 4.51514i | −0.179461 | + | 0.310835i | −0.941696 | − | 0.336465i | \(-0.890769\pi\) |
0.762235 | + | 0.647300i | \(0.224102\pi\) | |||||||
\(212\) | −13.5065 | + | 23.3940i | −0.927632 | + | 1.60671i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 5.47232 | + | 9.47833i | 0.374080 | + | 0.647925i | ||||
\(215\) | 15.0012 | 1.02307 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −8.43326 | −0.572487 | ||||||||
\(218\) | 7.73695 | + | 13.4008i | 0.524012 | + | 0.907616i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −1.05439 | + | 1.82625i | −0.0710866 | + | 0.123126i | ||||
\(221\) | −0.889254 | + | 1.54023i | −0.0598177 | + | 0.103607i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −8.84690 | − | 15.3233i | −0.592432 | − | 1.02612i | −0.993904 | − | 0.110251i | \(-0.964834\pi\) |
0.401471 | − | 0.915872i | \(-0.368499\pi\) | |||||||
\(224\) | −7.75789 | −0.518346 | ||||||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −21.9613 | −1.46085 | ||||||||
\(227\) | −7.88599 | − | 13.6589i | −0.523412 | − | 0.906576i | −0.999629 | − | 0.0272479i | \(-0.991326\pi\) |
0.476217 | − | 0.879328i | \(-0.342008\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 0.883432 | − | 1.53015i | 0.0583788 | − | 0.101115i | −0.835359 | − | 0.549705i | \(-0.814740\pi\) |
0.893738 | + | 0.448590i | \(0.148074\pi\) | |||||||
\(230\) | 6.14122 | − | 10.6369i | 0.404940 | − | 0.701377i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −2.23807 | − | 3.87646i | −0.146937 | − | 0.254502i | ||||
\(233\) | 13.8984 | 0.910514 | 0.455257 | − | 0.890360i | \(-0.349547\pi\) | ||||
0.455257 | + | 0.890360i | \(0.349547\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 6.64354 | 0.433376 | ||||||||
\(236\) | −2.13810 | − | 3.70330i | −0.139178 | − | 0.241064i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 1.20879 | − | 2.09368i | 0.0783540 | − | 0.135713i | ||||
\(239\) | −9.91634 | + | 17.1756i | −0.641435 | + | 1.11100i | 0.343678 | + | 0.939088i | \(0.388327\pi\) |
−0.985113 | + | 0.171910i | \(0.945006\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −9.68735 | − | 16.7790i | −0.624017 | − | 1.08083i | −0.988730 | − | 0.149709i | \(-0.952166\pi\) |
0.364713 | − | 0.931120i | \(-0.381167\pi\) | |||||||
\(242\) | −23.0703 | −1.48301 | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 2.51674 | 0.161118 | ||||||||
\(245\) | 8.12250 | + | 14.0686i | 0.518928 | + | 0.898809i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 4.70924 | − | 8.15665i | 0.299642 | − | 0.518995i | ||||
\(248\) | 4.40675 | − | 7.63271i | 0.279829 | − | 0.484678i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 7.95355 | + | 13.7759i | 0.503026 | + | 0.871267i | ||||
\(251\) | 5.47572 | 0.345625 | 0.172812 | − | 0.984955i | \(-0.444715\pi\) | ||||
0.172812 | + | 0.984955i | \(0.444715\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −0.685377 | −0.0430893 | ||||||||
\(254\) | −5.53225 | − | 9.58214i | −0.347124 | − | 0.601237i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −2.91356 | + | 5.04643i | −0.182097 | + | 0.315402i | ||||
\(257\) | −5.78258 | + | 10.0157i | −0.360708 | + | 0.624764i | −0.988077 | − | 0.153957i | \(-0.950798\pi\) |
0.627370 | + | 0.778721i | \(0.284131\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 2.17153 | + | 3.76121i | 0.134933 | + | 0.233710i | ||||
\(260\) | −10.0749 | −0.624816 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 15.3123 | 0.945996 | ||||||||
\(263\) | 3.23897 | + | 5.61006i | 0.199723 | + | 0.345931i | 0.948439 | − | 0.316961i | \(-0.102662\pi\) |
−0.748715 | + | 0.662892i | \(0.769329\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −14.6121 | + | 25.3089i | −0.897614 | + | 1.55471i | ||||
\(266\) | −6.40140 | + | 11.0875i | −0.392495 | + | 0.679821i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −1.06216 | − | 1.83972i | −0.0648819 | − | 0.112379i | ||||
\(269\) | 13.8387 | 0.843758 | 0.421879 | − | 0.906652i | \(-0.361371\pi\) | ||||
0.421879 | + | 0.906652i | \(0.361371\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 1.94536 | 0.118172 | 0.0590860 | − | 0.998253i | \(-0.481181\pi\) | ||||
0.0590860 | + | 0.998253i | \(0.481181\pi\) | |||||||
\(272\) | −1.65004 | − | 2.85795i | −0.100048 | − | 0.173289i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 11.9053 | − | 20.6206i | 0.719224 | − | 1.24573i | ||||
\(275\) | −0.348436 | + | 0.603509i | −0.0210115 | + | 0.0363930i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −6.23634 | − | 10.8017i | −0.374706 | − | 0.649009i | 0.615577 | − | 0.788076i | \(-0.288923\pi\) |
−0.990283 | + | 0.139067i | \(0.955590\pi\) | |||||||
\(278\) | 19.8543 | 1.19078 | ||||||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 2.65106 | 0.158431 | ||||||||
\(281\) | 4.87793 | + | 8.44883i | 0.290993 | + | 0.504015i | 0.974045 | − | 0.226355i | \(-0.0726810\pi\) |
−0.683052 | + | 0.730370i | \(0.739348\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −13.2856 | + | 23.0114i | −0.789748 | + | 1.36788i | 0.136373 | + | 0.990658i | \(0.456455\pi\) |
−0.926121 | + | 0.377226i | \(0.876878\pi\) | |||||||
\(284\) | −11.8992 | + | 20.6100i | −0.706087 | + | 1.22298i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 0.507777 | + | 0.879496i | 0.0300255 | + | 0.0520057i | ||||
\(287\) | −5.68346 | −0.335484 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −15.6201 | −0.918830 | ||||||||
\(290\) | −12.5080 | − | 21.6645i | −0.734494 | − | 1.27218i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 18.9006 | − | 32.7367i | 1.10607 | − | 1.91577i | ||||
\(293\) | 6.12873 | − | 10.6153i | 0.358044 | − | 0.620151i | −0.629590 | − | 0.776928i | \(-0.716777\pi\) |
0.987634 | + | 0.156777i | \(0.0501103\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −2.31311 | − | 4.00643i | −0.134675 | − | 0.233263i | ||||
\(296\) | −4.53888 | −0.263817 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −40.3243 | −2.33592 | ||||||||
\(299\) | −1.63723 | − | 2.83576i | −0.0946834 | − | 0.163996i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −2.71815 | + | 4.70798i | −0.156672 | + | 0.271363i | ||||
\(302\) | −4.24806 | + | 7.35786i | −0.244449 | + | 0.423397i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 8.73814 | + | 15.1349i | 0.501167 | + | 0.868046i | ||||
\(305\) | 2.72275 | 0.155904 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −26.4740 | −1.51095 | −0.755475 | − | 0.655178i | \(-0.772594\pi\) | ||||
−0.755475 | + | 0.655178i | \(0.772594\pi\) | |||||||
\(308\) | −0.382101 | − | 0.661818i | −0.0217722 | − | 0.0377106i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 24.6281 | − | 42.6571i | 1.39878 | − | 2.42276i | ||||
\(311\) | −8.82974 | + | 15.2936i | −0.500689 | + | 0.867218i | 0.499311 | + | 0.866423i | \(0.333587\pi\) |
−1.00000 | 0.000795555i | \(0.999747\pi\) | ||||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −4.82360 | − | 8.35473i | −0.272646 | − | 0.472237i | 0.696892 | − | 0.717176i | \(-0.254566\pi\) |
−0.969539 | + | 0.244939i | \(0.921232\pi\) | |||||||
\(314\) | 15.4004 | 0.869093 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −27.8112 | −1.56450 | ||||||||
\(317\) | −1.85525 | − | 3.21338i | −0.104201 | − | 0.180481i | 0.809211 | − | 0.587519i | \(-0.199895\pi\) |
−0.913411 | + | 0.407037i | \(0.866562\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −0.697963 | + | 1.20891i | −0.0390784 | + | 0.0676858i | ||||
\(320\) | 15.1181 | − | 26.1852i | 0.845125 | − | 1.46380i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 2.22553 | + | 3.85473i | 0.124024 | + | 0.214816i | ||||
\(323\) | −7.30748 | −0.406599 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −3.32937 | −0.184680 | ||||||||
\(326\) | −13.1751 | − | 22.8199i | −0.729701 | − | 1.26388i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 2.96986 | − | 5.14394i | 0.163983 | − | 0.284027i | ||||
\(329\) | −1.20378 | + | 2.08501i | −0.0663666 | + | 0.114950i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 0.706398 | + | 1.22352i | 0.0388271 | + | 0.0672506i | 0.884786 | − | 0.465998i | \(-0.154304\pi\) |
−0.845959 | + | 0.533248i | \(0.820971\pi\) | |||||||
\(332\) | −11.6191 | −0.637678 | ||||||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 4.93573 | 0.270071 | ||||||||
\(335\) | −1.14911 | − | 1.99031i | −0.0627823 | − | 0.108742i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 6.49503 | − | 11.2497i | 0.353807 | − | 0.612812i | −0.633106 | − | 0.774065i | \(-0.718220\pi\) |
0.986913 | + | 0.161253i | \(0.0515536\pi\) | |||||||
\(338\) | 11.3321 | − | 19.6278i | 0.616385 | − | 1.06761i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 3.90837 | + | 6.76949i | 0.211961 | + | 0.367127i | ||||
\(341\) | −2.74856 | −0.148843 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −12.6934 | −0.685378 | ||||||||
\(344\) | −2.84071 | − | 4.92025i | −0.153161 | − | 0.265282i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −3.79116 | + | 6.56648i | −0.203814 | + | 0.353016i | ||||
\(347\) | −2.40023 | + | 4.15732i | −0.128851 | + | 0.223177i | −0.923232 | − | 0.384244i | \(-0.874462\pi\) |
0.794381 | + | 0.607420i | \(0.207796\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 11.2888 | + | 19.5527i | 0.604275 | + | 1.04663i | 0.992166 | + | 0.124929i | \(0.0398704\pi\) |
−0.387891 | + | 0.921705i | \(0.626796\pi\) | |||||||
\(350\) | 4.52571 | 0.241909 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −2.52845 | −0.134767 | ||||||||
\(353\) | −14.8533 | − | 25.7266i | −0.790560 | − | 1.36929i | −0.925620 | − | 0.378453i | \(-0.876456\pi\) |
0.135060 | − | 0.990837i | \(-0.456877\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −12.8732 | + | 22.2970i | −0.683238 | + | 1.18340i | ||||
\(356\) | −19.2201 | + | 33.2902i | −1.01866 | + | 1.76438i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −21.1617 | − | 36.6531i | −1.11843 | − | 1.93718i | ||||
\(359\) | −13.4198 | −0.708271 | −0.354136 | − | 0.935194i | \(-0.615225\pi\) | ||||
−0.354136 | + | 0.935194i | \(0.615225\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 19.6984 | 1.03676 | ||||||||
\(362\) | −10.2998 | − | 17.8398i | −0.541347 | − | 0.937640i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 1.82552 | − | 3.16190i | 0.0956834 | − | 0.165728i | ||||
\(365\) | 20.4477 | − | 35.4164i | 1.07028 | − | 1.85378i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 3.97499 | + | 6.88488i | 0.207493 | + | 0.359388i | 0.950924 | − | 0.309424i | \(-0.100136\pi\) |
−0.743431 | + | 0.668812i | \(0.766803\pi\) | |||||||
\(368\) | 6.07585 | 0.316726 | ||||||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −25.3666 | −1.31874 | ||||||||
\(371\) | −5.29530 | − | 9.17174i | −0.274918 | − | 0.476173i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 5.71026 | − | 9.89045i | 0.295666 | − | 0.512108i | −0.679474 | − | 0.733700i | \(-0.737792\pi\) |
0.975140 | + | 0.221592i | \(0.0711252\pi\) | |||||||
\(374\) | 0.393967 | − | 0.682371i | 0.0203715 | − | 0.0352845i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −1.25806 | − | 2.17902i | −0.0648793 | − | 0.112374i | ||||
\(377\) | −6.66917 | −0.343480 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −24.1705 | −1.24155 | −0.620777 | − | 0.783987i | \(-0.713183\pi\) | ||||
−0.620777 | + | 0.783987i | \(0.713183\pi\) | |||||||
\(380\) | −20.6976 | − | 35.8494i | −1.06177 | − | 1.83903i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −18.7919 | + | 32.5486i | −0.961479 | + | 1.66533i | ||||
\(383\) | 4.72164 | − | 8.17812i | 0.241265 | − | 0.417883i | −0.719810 | − | 0.694171i | \(-0.755771\pi\) |
0.961075 | + | 0.276288i | \(0.0891045\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −0.413377 | − | 0.715990i | −0.0210677 | − | 0.0364902i | ||||
\(386\) | 22.4030 | 1.14029 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −13.7632 | −0.698722 | ||||||||
\(389\) | −1.27385 | − | 2.20638i | −0.0645869 | − | 0.111868i | 0.831924 | − | 0.554890i | \(-0.187240\pi\) |
−0.896511 | + | 0.443022i | \(0.853906\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −1.27027 | + | 2.20017i | −0.0642403 | + | 0.111267i | ||||
\(392\) | 3.07624 | − | 5.32821i | 0.155374 | − | 0.269115i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 14.9845 | + | 25.9539i | 0.754909 | + | 1.30754i | ||||
\(395\) | −30.0876 | −1.51387 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 3.67517 | 0.184452 | 0.0922258 | − | 0.995738i | \(-0.470602\pi\) | ||||
0.0922258 | + | 0.995738i | \(0.470602\pi\) | |||||||
\(398\) | −7.97987 | − | 13.8215i | −0.399995 | − | 0.692811i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 3.08888 | − | 5.35009i | 0.154444 | − | 0.267505i | ||||
\(401\) | 8.07436 | − | 13.9852i | 0.403214 | − | 0.698388i | −0.590897 | − | 0.806747i | \(-0.701226\pi\) |
0.994112 | + | 0.108359i | \(0.0345595\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −6.56576 | − | 11.3722i | −0.327064 | − | 0.566492i | ||||
\(404\) | 25.1458 | 1.25105 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 9.06558 | 0.449917 | ||||||||
\(407\) | 0.707745 | + | 1.22585i | 0.0350816 | + | 0.0607631i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −4.59099 | + | 7.95182i | −0.227010 | + | 0.393192i | −0.956920 | − | 0.290350i | \(-0.906228\pi\) |
0.729911 | + | 0.683542i | \(0.239562\pi\) | |||||||
\(410\) | 16.5977 | − | 28.7481i | 0.819703 | − | 1.41977i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 12.2185 | + | 21.1631i | 0.601964 | + | 1.04263i | ||||
\(413\) | 1.67651 | 0.0824955 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −12.5701 | −0.617043 | ||||||||
\(416\) | −6.03995 | − | 10.4615i | −0.296133 | − | 0.512917i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −2.08634 | + | 3.61365i | −0.102046 | + | 0.176749i | ||||
\(419\) | −3.48944 | + | 6.04388i | −0.170470 | + | 0.295263i | −0.938584 | − | 0.345050i | \(-0.887862\pi\) |
0.768114 | + | 0.640313i | \(0.221195\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −15.4053 | − | 26.6828i | −0.750809 | − | 1.30044i | −0.947431 | − | 0.319960i | \(-0.896331\pi\) |
0.196622 | − | 0.980479i | \(-0.437003\pi\) | |||||||
\(422\) | 11.0353 | 0.537190 | ||||||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 11.0681 | 0.537515 | ||||||||
\(425\) | 1.29157 | + | 2.23707i | 0.0626505 | + | 0.108514i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −0.493351 | + | 0.854509i | −0.0238749 | + | 0.0413526i | ||||
\(428\) | 6.41203 | − | 11.1060i | 0.309937 | − | 0.536827i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −15.8759 | − | 27.4979i | −0.765605 | − | 1.32607i | ||||
\(431\) | −27.8971 | −1.34376 | −0.671879 | − | 0.740661i | \(-0.734513\pi\) | ||||
−0.671879 | + | 0.740661i | \(0.734513\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 19.1706 | 0.921278 | 0.460639 | − | 0.887588i | \(-0.347620\pi\) | ||||
0.460639 | + | 0.887588i | \(0.347620\pi\) | |||||||
\(434\) | 8.92502 | + | 15.4586i | 0.428415 | + | 0.742036i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 9.06554 | − | 15.7020i | 0.434161 | − | 0.751989i | ||||
\(437\) | 6.72700 | − | 11.6515i | 0.321796 | − | 0.557367i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 11.8745 | + | 20.5672i | 0.566739 | + | 0.981620i | 0.996886 | + | 0.0788611i | \(0.0251284\pi\) |
−0.430147 | + | 0.902759i | \(0.641538\pi\) | |||||||
\(440\) | 0.864030 | 0.0411910 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 3.76443 | 0.179056 | ||||||||
\(443\) | 11.6791 | + | 20.2288i | 0.554892 | + | 0.961102i | 0.997912 | + | 0.0645896i | \(0.0205738\pi\) |
−0.443020 | + | 0.896512i | \(0.646093\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −20.7934 | + | 36.0151i | −0.985700 | + | 1.70728i | ||||
\(446\) | −18.7255 | + | 32.4336i | −0.886680 | + | 1.53578i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 5.47866 | + | 9.48931i | 0.258842 | + | 0.448328i | ||||
\(449\) | −4.81906 | −0.227426 | −0.113713 | − | 0.993514i | \(-0.536274\pi\) | ||||
−0.113713 | + | 0.993514i | \(0.536274\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −1.85235 | −0.0872238 | ||||||||
\(452\) | 12.8663 | + | 22.2850i | 0.605178 | + | 1.04820i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −16.6917 | + | 28.9108i | −0.783379 | + | 1.35685i | ||||
\(455\) | 1.97495 | − | 3.42071i | 0.0925871 | − | 0.160366i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 2.44680 | + | 4.23798i | 0.114456 | + | 0.198244i | 0.917562 | − | 0.397592i | \(-0.130154\pi\) |
−0.803106 | + | 0.595836i | \(0.796821\pi\) | |||||||
\(458\) | −3.73978 | −0.174749 | ||||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −14.3916 | −0.671012 | ||||||||
\(461\) | 13.9952 | + | 24.2404i | 0.651823 | + | 1.12899i | 0.982680 | + | 0.185309i | \(0.0593287\pi\) |
−0.330857 | + | 0.943681i | \(0.607338\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 13.7377 | − | 23.7943i | 0.638444 | − | 1.10582i | −0.347331 | − | 0.937743i | \(-0.612912\pi\) |
0.985774 | − | 0.168074i | \(-0.0537548\pi\) | |||||||
\(464\) | 6.18742 | − | 10.7169i | 0.287244 | − | 0.497521i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −14.7088 | − | 25.4764i | −0.681373 | − | 1.18017i | ||||
\(467\) | 21.2465 | 0.983170 | 0.491585 | − | 0.870830i | \(-0.336418\pi\) | ||||
0.491585 | + | 0.870830i | \(0.336418\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 0.832853 | 0.0384576 | ||||||||
\(470\) | −7.03093 | − | 12.1779i | −0.324313 | − | 0.561726i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −0.876048 | + | 1.51736i | −0.0403234 | + | 0.0698421i | ||||
\(473\) | −0.885898 | + | 1.53442i | −0.0407337 | + | 0.0705528i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −6.83982 | − | 11.8469i | −0.313832 | − | 0.543574i | ||||
\(476\) | −2.83272 | −0.129838 | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 41.9783 | 1.92004 | ||||||||
\(479\) | −20.8394 | − | 36.0949i | −0.952177 | − | 1.64922i | −0.740699 | − | 0.671837i | \(-0.765506\pi\) |
−0.211478 | − | 0.977383i | \(-0.567828\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −3.38132 | + | 5.85662i | −0.154175 | + | 0.267039i | ||||
\(482\) | −20.5045 | + | 35.5148i | −0.933953 | + | 1.61765i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 13.5160 | + | 23.4103i | 0.614362 | + | 1.06411i | ||||
\(485\) | −14.8898 | −0.676112 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 4.02801 | 0.182527 | 0.0912634 | − | 0.995827i | \(-0.470909\pi\) | ||||
0.0912634 | + | 0.995827i | \(0.470909\pi\) | |||||||
\(488\) | −0.515595 | − | 0.893036i | −0.0233399 | − | 0.0404258i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 17.1923 | − | 29.7779i | 0.776668 | − | 1.34523i | ||||
\(491\) | −19.3107 | + | 33.4471i | −0.871479 | + | 1.50945i | −0.0110115 | + | 0.999939i | \(0.503505\pi\) |
−0.860467 | + | 0.509506i | \(0.829828\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 2.58719 | + | 4.48114i | 0.116521 | + | 0.201821i | ||||
\(494\) | −19.9354 | −0.896935 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 24.3660 | 1.09406 | ||||||||
\(497\) | −4.66514 | − | 8.08026i | −0.209260 | − | 0.362449i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 2.03593 | − | 3.52633i | 0.0911407 | − | 0.157860i | −0.816851 | − | 0.576849i | \(-0.804282\pi\) |
0.907991 | + | 0.418989i | \(0.137615\pi\) | |||||||
\(500\) | 9.31934 | − | 16.1416i | 0.416774 | − | 0.721873i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −5.79502 | − | 10.0373i | −0.258644 | − | 0.447985i | ||||
\(503\) | 3.42594 | 0.152755 | 0.0763775 | − | 0.997079i | \(-0.475665\pi\) | ||||
0.0763775 | + | 0.997079i | \(0.475665\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 27.2041 | 1.21056 | ||||||||
\(506\) | 0.725343 | + | 1.25633i | 0.0322454 | + | 0.0558507i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −6.48225 | + | 11.2276i | −0.287604 | + | 0.498144i | ||||
\(509\) | −6.13171 | + | 10.6204i | −0.271783 | + | 0.470742i | −0.969319 | − | 0.245808i | \(-0.920947\pi\) |
0.697535 | + | 0.716550i | \(0.254280\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 7.41006 | + | 12.8346i | 0.327802 | + | 0.567770i | ||||
\(512\) | 28.1241 | 1.24292 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 24.4791 | 1.07973 | ||||||||
\(515\) | 13.2187 | + | 22.8954i | 0.582484 | + | 1.00889i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −0.392336 | + | 0.679545i | −0.0172549 | + | 0.0298864i | ||||
\(518\) | 4.59632 | − | 7.96105i | 0.201951 | − | 0.349789i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 2.06399 | + | 3.57494i | 0.0905121 | + | 0.156772i | ||||
\(521\) | −14.0823 | −0.616959 | −0.308479 | − | 0.951231i | \(-0.599820\pi\) | ||||
−0.308479 | + | 0.951231i | \(0.599820\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 9.77912 | 0.427611 | 0.213806 | − | 0.976876i | \(-0.431414\pi\) | ||||
0.213806 | + | 0.976876i | \(0.431414\pi\) | |||||||
\(524\) | −8.97086 | − | 15.5380i | −0.391894 | − | 0.678780i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 6.85567 | − | 11.8744i | 0.298922 | − | 0.517747i | ||||
\(527\) | −5.09415 | + | 8.82333i | −0.221905 | + | 0.384350i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 9.16127 | + | 15.8678i | 0.398316 | + | 0.689904i | ||||
\(530\) | 61.8566 | 2.68688 | ||||||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 15.0013 | 0.650389 | ||||||||
\(533\) | −4.42489 | − | 7.66414i | −0.191663 | − | 0.331971i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 6.93688 | − | 12.0150i | 0.299908 | − | 0.519455i | ||||
\(536\) | −0.435202 | + | 0.753792i | −0.0187979 | + | 0.0325588i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −14.6456 | − | 25.3669i | −0.631417 | − | 1.09365i | ||||
\(539\) | −1.91871 | −0.0826445 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 40.9454 | 1.76038 | 0.880189 | − | 0.474623i | \(-0.157416\pi\) | ||||
0.880189 | + | 0.474623i | \(0.157416\pi\) | |||||||
\(542\) | −2.05879 | − | 3.56594i | −0.0884328 | − | 0.153170i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −4.68619 | + | 8.11672i | −0.200919 | + | 0.348001i | ||||
\(545\) | 9.80760 | − | 16.9873i | 0.420111 | − | 0.727654i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −0.555138 | − | 0.961528i | −0.0237360 | − | 0.0411120i | 0.853913 | − | 0.520415i | \(-0.174223\pi\) |
−0.877649 | + | 0.479303i | \(0.840889\pi\) | |||||||
\(548\) | −27.8993 | −1.19180 | ||||||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 1.47502 | 0.0628949 | ||||||||
\(551\) | −13.7010 | − | 23.7309i | −0.583684 | − | 1.01097i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 5.45176 | − | 9.44272i | 0.231832 | − | 0.401545i | ||||
\(554\) | −13.2000 | + | 22.8630i | −0.560814 | + | 0.971358i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −11.6318 | − | 20.1469i | −0.493300 | − | 0.854420i | ||||
\(557\) | −35.0403 | −1.48470 | −0.742352 | − | 0.670010i | \(-0.766290\pi\) | ||||
−0.742352 | + | 0.670010i | \(0.766290\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −8.46493 | −0.358028 | ||||||||
\(560\) | 3.66458 | + | 6.34724i | 0.154857 | + | 0.268220i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 10.3247 | − | 17.8830i | 0.435523 | − | 0.754348i | ||||
\(563\) | −19.3856 | + | 33.5768i | −0.817005 | + | 1.41509i | 0.0908735 | + | 0.995862i | \(0.471034\pi\) |
−0.907879 | + | 0.419232i | \(0.862299\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 13.9194 | + | 24.1092i | 0.585595 | + | 1.01428i | ||||
\(566\) | 56.2413 | 2.36400 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 9.75095 | 0.409141 | ||||||||
\(569\) | −16.9842 | − | 29.4174i | −0.712013 | − | 1.23324i | −0.964100 | − | 0.265539i | \(-0.914450\pi\) |
0.252087 | − | 0.967705i | \(-0.418883\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −5.04443 | + | 8.73721i | −0.211103 | + | 0.365641i | −0.952060 | − | 0.305911i | \(-0.901039\pi\) |
0.740957 | + | 0.671552i | \(0.234372\pi\) | |||||||
\(572\) | 0.594973 | − | 1.03052i | 0.0248771 | − | 0.0430884i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 6.01487 | + | 10.4181i | 0.251056 | + | 0.434842i | ||||
\(575\) | −4.75590 | −0.198335 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −12.1323 | −0.505074 | −0.252537 | − | 0.967587i | \(-0.581265\pi\) | ||||
−0.252537 | + | 0.967587i | \(0.581265\pi\) | |||||||
\(578\) | 16.5309 | + | 28.6324i | 0.687597 | + | 1.19095i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −14.6559 | + | 25.3847i | −0.608551 | + | 1.05404i | ||||
\(581\) | 2.27766 | − | 3.94501i | 0.0944931 | − | 0.163667i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −1.72584 | − | 2.98925i | −0.0714771 | − | 0.123802i | ||||
\(584\) | −15.4883 | −0.640911 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −25.9444 | −1.07175 | ||||||||
\(587\) | 15.8746 | + | 27.4956i | 0.655215 | + | 1.13487i | 0.981840 | + | 0.189711i | \(0.0607552\pi\) |
−0.326625 | + | 0.945154i | \(0.605911\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 26.9772 | − | 46.7259i | 1.11158 | − | 1.92531i | ||||
\(590\) | −4.89599 | + | 8.48010i | −0.201565 | + | 0.349120i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −6.27414 | − | 10.8671i | −0.257866 | − | 0.446636i | ||||
\(593\) | −13.4906 | −0.553993 | −0.276996 | − | 0.960871i | \(-0.589339\pi\) | ||||
−0.276996 | + | 0.960871i | \(0.589339\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −3.06459 | −0.125636 | ||||||||
\(596\) | 23.6244 | + | 40.9187i | 0.967694 | + | 1.67609i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −3.46539 | + | 6.00224i | −0.141711 | + | 0.245450i | ||||
\(599\) | −21.2152 | + | 36.7458i | −0.866829 | + | 1.50139i | −0.00160947 | + | 0.999999i | \(0.500512\pi\) |
−0.865220 | + | 0.501393i | \(0.832821\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 9.90237 | + | 17.1514i | 0.403926 | + | 0.699620i | 0.994196 | − | 0.107586i | \(-0.0343120\pi\) |
−0.590270 | + | 0.807206i | \(0.700979\pi\) | |||||||
\(602\) | 11.5066 | 0.468974 | ||||||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 9.95509 | 0.405067 | ||||||||
\(605\) | 14.6223 | + | 25.3266i | 0.594481 | + | 1.02967i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 17.9995 | − | 31.1761i | 0.730578 | − | 1.26540i | −0.226059 | − | 0.974114i | \(-0.572584\pi\) |
0.956637 | − | 0.291284i | \(-0.0940825\pi\) | |||||||
\(608\) | 24.8168 | − | 42.9839i | 1.00645 | − | 1.74323i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −2.88152 | − | 4.99093i | −0.116669 | − | 0.202077i | ||||
\(611\) | −3.74884 | −0.151662 | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 26.4628 | 1.06882 | 0.534411 | − | 0.845225i | \(-0.320533\pi\) | ||||
0.534411 | + | 0.845225i | \(0.320533\pi\) | |||||||
\(614\) | 28.0177 | + | 48.5281i | 1.13070 | + | 1.95843i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −0.156559 | + | 0.271168i | −0.00630793 | + | 0.0109257i | ||||
\(617\) | 24.5584 | − | 42.5363i | 0.988683 | − | 1.71245i | 0.364419 | − | 0.931235i | \(-0.381268\pi\) |
0.624264 | − | 0.781214i | \(-0.285399\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 12.1031 | + | 20.9632i | 0.486465 | + | 0.842582i | 0.999879 | − | 0.0155592i | \(-0.00495283\pi\) |
−0.513414 | + | 0.858141i | \(0.671619\pi\) | |||||||
\(620\) | −57.7145 | −2.31787 | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 37.3785 | 1.49874 | ||||||||
\(623\) | −7.53534 | − | 13.0516i | −0.301897 | − | 0.522901i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 15.5797 | − | 26.9848i | 0.623188 | − | 1.07939i | ||||
\(626\) | −10.2097 | + | 17.6838i | −0.408064 | + | 0.706787i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −9.02247 | − | 15.6274i | −0.360036 | − | 0.623600i | ||||
\(629\) | 5.24690 | 0.209208 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 17.6968 | 0.704500 | 0.352250 | − | 0.935906i | \(-0.385417\pi\) | ||||
0.352250 | + | 0.935906i | \(0.385417\pi\) | |||||||
\(632\) | 5.69756 | + | 9.86846i | 0.226637 | + | 0.392546i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −3.92685 | + | 6.80151i | −0.155955 | + | 0.270123i | ||||
\(635\) | −7.01286 | + | 12.1466i | −0.278297 | + | 0.482024i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −4.58340 | − | 7.93868i | −0.181601 | − | 0.314542i | ||||
\(638\) | 2.95465 | 0.116976 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −21.1835 | −0.837351 | ||||||||
\(641\) | 19.0252 | + | 32.9526i | 0.751450 | + | 1.30155i | 0.947120 | + | 0.320880i | \(0.103979\pi\) |
−0.195669 | + | 0.980670i | \(0.562688\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −23.4712 | + | 40.6534i | −0.925616 | + | 1.60321i | −0.135048 | + | 0.990839i | \(0.543119\pi\) |
−0.790568 | + | 0.612374i | \(0.790215\pi\) | |||||||
\(644\) | 2.60770 | − | 4.51667i | 0.102758 | − | 0.177982i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 7.73359 | + | 13.3950i | 0.304274 | + | 0.527018i | ||||
\(647\) | 28.2333 | 1.10997 | 0.554983 | − | 0.831862i | \(-0.312725\pi\) | ||||
0.554983 | + | 0.831862i | \(0.312725\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 0.546406 | 0.0214483 | ||||||||
\(650\) | 3.52351 | + | 6.10291i | 0.138204 | + | 0.239376i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −15.4375 | + | 26.7386i | −0.604580 | + | 1.04716i | ||||
\(653\) | 17.6536 | − | 30.5769i | 0.690839 | − | 1.19657i | −0.280725 | − | 0.959788i | \(-0.590575\pi\) |
0.971563 | − | 0.236780i | \(-0.0760919\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −9.70517 | − | 16.8098i | −0.379212 | − | 0.656815i | ||||
\(656\) | 16.4210 | 0.641134 | ||||||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 5.09590 | 0.198659 | ||||||||
\(659\) | 20.8469 | + | 36.1078i | 0.812078 | + | 1.40656i | 0.911407 | + | 0.411506i | \(0.134997\pi\) |
−0.0993285 | + | 0.995055i | \(0.531669\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −0.636957 | + | 1.10324i | −0.0247747 | + | 0.0429111i | −0.878147 | − | 0.478391i | \(-0.841220\pi\) |
0.853372 | + | 0.521302i | \(0.174554\pi\) | |||||||
\(662\) | 1.49518 | − | 2.58972i | 0.0581117 | − | 0.100652i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 2.38035 | + | 4.12288i | 0.0923754 | + | 0.159999i | ||||
\(665\) | 16.2292 | 0.629343 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −9.52668 | −0.368875 | ||||||||
\(668\) | −2.89165 | − | 5.00848i | −0.111881 | − | 0.193784i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −2.43222 | + | 4.21273i | −0.0939649 | + | 0.162752i | ||||
\(671\) | −0.160793 | + | 0.278501i | −0.00620733 | + | 0.0107514i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −17.8164 | − | 30.8589i | −0.686771 | − | 1.18952i | −0.972877 | − | 0.231324i | \(-0.925694\pi\) |
0.286106 | − | 0.958198i | \(-0.407639\pi\) | |||||||
\(674\) | −27.4951 | −1.05907 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −26.5561 | −1.02139 | ||||||||
\(677\) | 9.00094 | + | 15.5901i | 0.345934 | + | 0.599176i | 0.985523 | − | 0.169541i | \(-0.0542286\pi\) |
−0.639589 | + | 0.768717i | \(0.720895\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 2.69797 | − | 4.67303i | 0.103539 | − | 0.179334i | ||||
\(680\) | 1.60138 | − | 2.77368i | 0.0614102 | − | 0.106366i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 2.90884 | + | 5.03825i | 0.111385 | + | 0.192925i | ||||
\(683\) | −39.7614 | −1.52143 | −0.760715 | − | 0.649087i | \(-0.775151\pi\) | ||||
−0.760715 | + | 0.649087i | \(0.775151\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −30.1830 | −1.15323 | ||||||||
\(686\) | 13.4336 | + | 23.2676i | 0.512895 | + | 0.888361i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 7.85347 | − | 13.6026i | 0.299411 | − | 0.518594i | ||||
\(689\) | 8.24538 | − | 14.2814i | 0.314124 | − | 0.544079i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 8.42035 | + | 14.5845i | 0.320325 | + | 0.554820i | 0.980555 | − | 0.196244i | \(-0.0628744\pi\) |
−0.660230 | + | 0.751064i | \(0.729541\pi\) | |||||||
\(692\) | 8.88436 | 0.337733 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 10.1608 | 0.385697 | ||||||||
\(695\) | −12.5839 | − | 21.7960i | −0.477336 | − | 0.826771i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −3.43312 | + | 5.94634i | −0.130039 | + | 0.225234i | ||||
\(698\) | 23.8941 | − | 41.3858i | 0.904405 | − | 1.56648i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −2.65143 | − | 4.59242i | −0.100215 | − | 0.173577i | ||||
\(701\) | 8.96921 | 0.338762 | 0.169381 | − | 0.985551i | \(-0.445823\pi\) | ||||
0.169381 | + | 0.985551i | \(0.445823\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −27.7861 | −1.04797 | ||||||||
\(704\) | 1.78560 | + | 3.09275i | 0.0672974 | + | 0.116562i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −31.4388 | + | 54.4536i | −1.18321 | + | 2.04939i | ||||
\(707\) | −4.92926 | + | 8.53773i | −0.185384 | + | 0.321095i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −9.07082 | − | 15.7111i | −0.340662 | − | 0.590043i | 0.643894 | − | 0.765115i | \(-0.277318\pi\) |
−0.984556 | + | 0.175071i | \(0.943984\pi\) | |||||||
\(710\) | 54.4954 | 2.04518 | ||||||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 15.7502 | 0.590263 | ||||||||
\(713\) | −9.37898 | − | 16.2449i | −0.351245 | − | 0.608375i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 0.643674 | − | 1.11488i | 0.0240721 | − | 0.0416940i | ||||
\(716\) | −24.7956 | + | 42.9472i | −0.926655 | + | 1.60501i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 14.2024 | + | 24.5992i | 0.530027 | + | 0.918034i | ||||
\(719\) | −31.5720 | −1.17744 | −0.588718 | − | 0.808339i | \(-0.700367\pi\) | ||||
−0.588718 | + | 0.808339i | \(0.700367\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −9.58068 | −0.356803 | ||||||||
\(722\) | −20.8470 | − | 36.1081i | −0.775846 | − | 1.34381i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −12.0685 | + | 20.9033i | −0.448523 | + | 0.776865i | ||||
\(725\) | −4.84323 | + | 8.38872i | −0.179873 | + | 0.311549i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −19.2046 | − | 33.2634i | −0.712260 | − | 1.23367i | −0.964007 | − | 0.265878i | \(-0.914338\pi\) |
0.251746 | − | 0.967793i | \(-0.418995\pi\) | |||||||
\(728\) | −1.49595 | −0.0554436 | ||||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −86.5599 | −3.20373 | ||||||||
\(731\) | 3.28382 | + | 5.68775i | 0.121457 | + | 0.210369i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 15.1651 | − | 26.2668i | 0.560138 | − | 0.970187i | −0.437346 | − | 0.899293i | \(-0.644082\pi\) |
0.997484 | − | 0.0708936i | \(-0.0225851\pi\) | |||||||
\(734\) | 8.41355 | − | 14.5727i | 0.310550 | − | 0.537888i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −8.62786 | − | 14.9439i | −0.318027 | − | 0.550839i | ||||
\(737\) | 0.271443 | 0.00999872 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 10.0025 | 0.367949 | 0.183975 | − | 0.982931i | \(-0.441104\pi\) | ||||
0.183975 | + | 0.982931i | \(0.441104\pi\) | |||||||
\(740\) | 14.8613 | + | 25.7405i | 0.546311 | + | 0.946238i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −11.2082 | + | 19.4131i | −0.411465 | + | 0.712677i | ||||
\(743\) | 18.1369 | − | 31.4140i | 0.665378 | − | 1.15247i | −0.313804 | − | 0.949488i | \(-0.601604\pi\) |
0.979183 | − | 0.202981i | \(-0.0650630\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 25.5582 | + | 44.2681i | 0.936379 | + | 1.62186i | ||||
\(746\) | −24.1729 | −0.885033 | ||||||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −0.923239 | −0.0337569 | ||||||||
\(749\) | 2.51387 | + | 4.35415i | 0.0918548 | + | 0.159097i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 7.27718 | − | 12.6044i | 0.265548 | − | 0.459943i | −0.702159 | − | 0.712020i | \(-0.747780\pi\) |
0.967707 | + | 0.252077i | \(0.0811138\pi\) | |||||||
\(752\) | 3.47805 | − | 6.02415i | 0.126831 | − | 0.219678i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 7.05806 | + | 12.2249i | 0.257039 | + | 0.445205i | ||||
\(755\) | 10.7700 | 0.391959 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −45.5754 | −1.65646 | −0.828232 | − | 0.560385i | \(-0.810653\pi\) | ||||
−0.828232 | + | 0.560385i | \(0.810653\pi\) | |||||||
\(758\) | 25.5799 | + | 44.3057i | 0.929104 | + | 1.60925i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −8.48048 | + | 14.6886i | −0.307619 | + | 0.532812i | ||||
\(761\) | 11.1228 | − | 19.2652i | 0.403200 | − | 0.698364i | −0.590910 | − | 0.806738i | \(-0.701231\pi\) |
0.994110 | + | 0.108374i | \(0.0345644\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 3.55419 | + | 6.15604i | 0.128670 | + | 0.222864i | ||||
\(764\) | 44.0378 | 1.59323 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −19.9879 | −0.722191 | ||||||||
\(767\) | 1.30525 | + | 2.26077i | 0.0471300 | + | 0.0816315i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −6.83247 | + | 11.8342i | −0.246385 | + | 0.426752i | −0.962520 | − | 0.271210i | \(-0.912576\pi\) |
0.716135 | + | 0.697962i | \(0.245909\pi\) | |||||||
\(770\) | −0.874964 | + | 1.51548i | −0.0315315 | + | 0.0546142i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −13.1251 | − | 22.7333i | −0.472381 | − | 0.818188i | ||||
\(773\) | 20.6540 | 0.742871 | 0.371436 | − | 0.928459i | \(-0.378866\pi\) | ||||
0.371436 | + | 0.928459i | \(0.378866\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −19.0726 | −0.685106 | ||||||||
\(776\) | 2.81962 | + | 4.88372i | 0.101218 | + | 0.175315i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −2.69627 | + | 4.67007i | −0.0966659 | + | 0.167430i | ||||
\(779\) | 18.1809 | − | 31.4902i | 0.651397 | − | 1.12825i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −1.52046 | − | 2.63351i | −0.0544063 | − | 0.0942345i | ||||
\(782\) | 5.37736 | 0.192294 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 17.0093 | 0.607474 | ||||||||
\(785\) | −9.76100 | − | 16.9065i | −0.348385 | − | 0.603421i | ||||
\(786\) | 0 | 0 |