Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [605,2,Mod(81,605)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(605, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([0, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("605.81");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 605 = 5 \cdot 11^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 605.g (of order \(5\), degree \(4\), 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: | \(4.83094932229\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{5})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 366.6 | ||
Character | \(\chi\) | \(=\) | 605.366 |
Dual form | 605.2.g.q.81.6 |
$q$-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 \(\left(\mathbb{Z}/605\mathbb{Z}\right)^\times\).
\(n\) | \(122\) | \(486\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{4}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 2.12272 | − | 1.54225i | 1.50099 | − | 1.09053i | 0.531007 | − | 0.847367i | \(-0.321814\pi\) |
0.969984 | − | 0.243167i | \(-0.0781864\pi\) | |||||||
\(3\) | 0.414045 | + | 1.27430i | 0.239049 | + | 0.735717i | 0.996558 | + | 0.0828927i | \(0.0264159\pi\) |
−0.757510 | + | 0.652824i | \(0.773584\pi\) | |||||||
\(4\) | 1.50939 | − | 4.64542i | 0.754694 | − | 2.32271i | ||||
\(5\) | −0.809017 | − | 0.587785i | −0.361803 | − | 0.262866i | ||||
\(6\) | 2.84419 | + | 2.06642i | 1.16113 | + | 0.843614i | ||||
\(7\) | 0.810808 | − | 2.49541i | 0.306457 | − | 0.943177i | −0.672673 | − | 0.739940i | \(-0.734854\pi\) |
0.979130 | − | 0.203237i | \(-0.0651461\pi\) | |||||||
\(8\) | −2.33876 | − | 7.19797i | −0.826877 | − | 2.54487i | ||||
\(9\) | 0.974647 | − | 0.708122i | 0.324882 | − | 0.236041i | ||||
\(10\) | −2.62383 | −0.829728 | ||||||||
\(11\) | 0 | 0 | ||||||||
\(12\) | 6.54461 | 1.88927 | ||||||||
\(13\) | −5.44317 | + | 3.95469i | −1.50966 | + | 1.09683i | −0.543336 | + | 0.839515i | \(0.682839\pi\) |
−0.966327 | + | 0.257319i | \(0.917161\pi\) | |||||||
\(14\) | −2.12742 | − | 6.54753i | −0.568578 | − | 1.74990i | ||||
\(15\) | 0.414045 | − | 1.27430i | 0.106906 | − | 0.329022i | ||||
\(16\) | −8.16235 | − | 5.93029i | −2.04059 | − | 1.48257i | ||||
\(17\) | 1.44293 | + | 1.04835i | 0.349962 | + | 0.254262i | 0.748853 | − | 0.662736i | \(-0.230605\pi\) |
−0.398891 | + | 0.916998i | \(0.630605\pi\) | |||||||
\(18\) | 0.976805 | − | 3.00630i | 0.230235 | − | 0.708591i | ||||
\(19\) | 0.457488 | + | 1.40800i | 0.104955 | + | 0.323018i | 0.989720 | − | 0.143019i | \(-0.0456811\pi\) |
−0.884765 | + | 0.466038i | \(0.845681\pi\) | |||||||
\(20\) | −3.95163 | + | 2.87103i | −0.883611 | + | 0.641981i | ||||
\(21\) | 3.51561 | 0.767169 | ||||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 5.20473 | 1.08526 | 0.542631 | − | 0.839971i | \(-0.317428\pi\) | ||||
0.542631 | + | 0.839971i | \(0.317428\pi\) | |||||||
\(24\) | 8.20401 | − | 5.96056i | 1.67464 | − | 1.21670i | ||||
\(25\) | 0.309017 | + | 0.951057i | 0.0618034 | + | 0.190211i | ||||
\(26\) | −5.45522 | + | 16.7894i | −1.06986 | + | 3.29268i | ||||
\(27\) | 4.55786 | + | 3.31148i | 0.877160 | + | 0.637294i | ||||
\(28\) | −10.3684 | − | 7.53309i | −1.95944 | − | 1.42362i | ||||
\(29\) | −0.363827 | + | 1.11974i | −0.0675609 | + | 0.207931i | −0.979137 | − | 0.203199i | \(-0.934866\pi\) |
0.911576 | + | 0.411131i | \(0.134866\pi\) | |||||||
\(30\) | −1.08638 | − | 3.34354i | −0.198345 | − | 0.610445i | ||||
\(31\) | 3.69255 | − | 2.68279i | 0.663201 | − | 0.481844i | −0.204542 | − | 0.978858i | \(-0.565570\pi\) |
0.867742 | + | 0.497014i | \(0.165570\pi\) | |||||||
\(32\) | −11.3356 | −2.00387 | ||||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 4.67975 | 0.802571 | ||||||||
\(35\) | −2.12272 | + | 1.54225i | −0.358806 | + | 0.260688i | ||||
\(36\) | −1.81841 | − | 5.59648i | −0.303068 | − | 0.932746i | ||||
\(37\) | −0.210055 | + | 0.646484i | −0.0345329 | + | 0.106281i | −0.966837 | − | 0.255394i | \(-0.917795\pi\) |
0.932304 | + | 0.361675i | \(0.117795\pi\) | |||||||
\(38\) | 3.14261 | + | 2.28324i | 0.509799 | + | 0.370391i | ||||
\(39\) | −7.29317 | − | 5.29880i | −1.16784 | − | 0.848487i | ||||
\(40\) | −2.33876 | + | 7.19797i | −0.369791 | + | 1.13810i | ||||
\(41\) | −1.69936 | − | 5.23010i | −0.265396 | − | 0.816804i | −0.991602 | − | 0.129327i | \(-0.958718\pi\) |
0.726206 | − | 0.687477i | \(-0.241282\pi\) | |||||||
\(42\) | 7.46266 | − | 5.42194i | 1.15151 | − | 0.836624i | ||||
\(43\) | −3.80120 | −0.579677 | −0.289839 | − | 0.957076i | \(-0.593602\pi\) | ||||
−0.289839 | + | 0.957076i | \(0.593602\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −1.20473 | −0.179591 | ||||||||
\(46\) | 11.0482 | − | 8.02699i | 1.62897 | − | 1.18351i | ||||
\(47\) | 2.05809 | + | 6.33415i | 0.300203 | + | 0.923931i | 0.981424 | + | 0.191853i | \(0.0614496\pi\) |
−0.681220 | + | 0.732079i | \(0.738550\pi\) | |||||||
\(48\) | 4.17739 | − | 12.8567i | 0.602954 | − | 1.85570i | ||||
\(49\) | 0.0934546 | + | 0.0678988i | 0.0133507 | + | 0.00969983i | ||||
\(50\) | 2.12272 | + | 1.54225i | 0.300198 | + | 0.218107i | ||||
\(51\) | −0.738473 | + | 2.27279i | −0.103407 | + | 0.318254i | ||||
\(52\) | 10.1554 | + | 31.2550i | 1.40829 | + | 4.33428i | ||||
\(53\) | −11.5640 | + | 8.40177i | −1.58844 | + | 1.15407i | −0.682324 | + | 0.731050i | \(0.739031\pi\) |
−0.906119 | + | 0.423022i | \(0.860969\pi\) | |||||||
\(54\) | 14.7822 | 2.01160 | ||||||||
\(55\) | 0 | 0 | ||||||||
\(56\) | −19.8582 | −2.65366 | ||||||||
\(57\) | −1.60480 | + | 1.16595i | −0.212561 | + | 0.154434i | ||||
\(58\) | 0.954620 | + | 2.93802i | 0.125348 | + | 0.385780i | ||||
\(59\) | −1.20037 | + | 3.69436i | −0.156275 | + | 0.480965i | −0.998288 | − | 0.0584924i | \(-0.981371\pi\) |
0.842013 | + | 0.539458i | \(0.181371\pi\) | |||||||
\(60\) | −5.29470 | − | 3.84682i | −0.683543 | − | 0.496623i | ||||
\(61\) | 2.59898 | + | 1.88827i | 0.332765 | + | 0.241768i | 0.741603 | − | 0.670839i | \(-0.234066\pi\) |
−0.408838 | + | 0.912607i | \(0.634066\pi\) | |||||||
\(62\) | 3.70072 | − | 11.3896i | 0.469992 | − | 1.44649i | ||||
\(63\) | −0.976805 | − | 3.00630i | −0.123066 | − | 0.378758i | ||||
\(64\) | −7.73763 | + | 5.62172i | −0.967204 | + | 0.702715i | ||||
\(65\) | 6.72812 | 0.834521 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 4.66012 | 0.569325 | 0.284662 | − | 0.958628i | \(-0.408119\pi\) | ||||
0.284662 | + | 0.958628i | \(0.408119\pi\) | |||||||
\(68\) | 7.04796 | − | 5.12064i | 0.854691 | − | 0.620969i | ||||
\(69\) | 2.15499 | + | 6.63238i | 0.259430 | + | 0.798445i | ||||
\(70\) | −2.12742 | + | 6.54753i | −0.254276 | + | 0.782580i | ||||
\(71\) | −3.14261 | − | 2.28324i | −0.372960 | − | 0.270971i | 0.385478 | − | 0.922717i | \(-0.374037\pi\) |
−0.758437 | + | 0.651746i | \(0.774037\pi\) | |||||||
\(72\) | −7.37651 | − | 5.35935i | −0.869330 | − | 0.631606i | ||||
\(73\) | 1.10230 | − | 3.39253i | 0.129014 | − | 0.397066i | −0.865597 | − | 0.500742i | \(-0.833061\pi\) |
0.994611 | + | 0.103676i | \(0.0330606\pi\) | |||||||
\(74\) | 0.551150 | + | 1.69626i | 0.0640699 | + | 0.197187i | ||||
\(75\) | −1.08398 | + | 0.787560i | −0.125168 | + | 0.0909396i | ||||
\(76\) | 7.23130 | 0.829487 | ||||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | −23.6535 | −2.67823 | ||||||||
\(79\) | −12.2459 | + | 8.89718i | −1.37777 | + | 1.00101i | −0.380689 | + | 0.924703i | \(0.624313\pi\) |
−0.997084 | + | 0.0763082i | \(0.975687\pi\) | |||||||
\(80\) | 3.11774 | + | 9.59541i | 0.348574 | + | 1.07280i | ||||
\(81\) | −1.21581 | + | 3.74187i | −0.135090 | + | 0.415763i | ||||
\(82\) | −11.6734 | − | 8.48121i | −1.28911 | − | 0.936593i | ||||
\(83\) | 5.93358 | + | 4.31100i | 0.651295 | + | 0.473194i | 0.863712 | − | 0.503985i | \(-0.168133\pi\) |
−0.212417 | + | 0.977179i | \(0.568133\pi\) | |||||||
\(84\) | 5.30642 | − | 16.3315i | 0.578978 | − | 1.78191i | ||||
\(85\) | −0.551150 | − | 1.69626i | −0.0597806 | − | 0.183986i | ||||
\(86\) | −8.06889 | + | 5.86239i | −0.870091 | + | 0.632158i | ||||
\(87\) | −1.57753 | −0.169129 | ||||||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 3.44872 | 0.365564 | 0.182782 | − | 0.983153i | \(-0.441490\pi\) | ||||
0.182782 | + | 0.983153i | \(0.441490\pi\) | |||||||
\(90\) | −2.55731 | + | 1.85799i | −0.269564 | + | 0.195850i | ||||
\(91\) | 5.45522 | + | 16.7894i | 0.571862 | + | 1.76001i | ||||
\(92\) | 7.85596 | − | 24.1782i | 0.819040 | − | 2.52075i | ||||
\(93\) | 4.94756 | + | 3.59461i | 0.513038 | + | 0.372744i | ||||
\(94\) | 14.1376 | + | 10.2716i | 1.45818 | + | 1.05943i | ||||
\(95\) | 0.457488 | − | 1.40800i | 0.0469373 | − | 0.144458i | ||||
\(96\) | −4.69344 | − | 14.4449i | −0.479022 | − | 1.47428i | ||||
\(97\) | −1.19332 | + | 0.866997i | −0.121163 | + | 0.0880302i | −0.646717 | − | 0.762730i | \(-0.723858\pi\) |
0.525553 | + | 0.850761i | \(0.323858\pi\) | |||||||
\(98\) | 0.303095 | 0.0306172 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 4.88448 | 0.488448 | ||||||||
\(101\) | −2.76085 | + | 2.00587i | −0.274715 | + | 0.199592i | −0.716609 | − | 0.697475i | \(-0.754307\pi\) |
0.441894 | + | 0.897067i | \(0.354307\pi\) | |||||||
\(102\) | 1.93763 | + | 5.96340i | 0.191854 | + | 0.590465i | ||||
\(103\) | −1.53696 | + | 4.73027i | −0.151441 | + | 0.466087i | −0.997783 | − | 0.0665527i | \(-0.978800\pi\) |
0.846342 | + | 0.532640i | \(0.178800\pi\) | |||||||
\(104\) | 41.1960 | + | 29.9307i | 4.03960 | + | 2.93494i | ||||
\(105\) | −2.84419 | − | 2.06642i | −0.277564 | − | 0.201662i | ||||
\(106\) | −11.5896 | + | 35.6693i | −1.12569 | + | 3.46450i | ||||
\(107\) | −2.18327 | − | 6.71942i | −0.211065 | − | 0.649591i | −0.999410 | − | 0.0343573i | \(-0.989062\pi\) |
0.788345 | − | 0.615234i | \(-0.210938\pi\) | |||||||
\(108\) | 22.2628 | − | 16.1749i | 2.14224 | − | 1.55643i | ||||
\(109\) | 10.6439 | 1.01950 | 0.509750 | − | 0.860323i | \(-0.329738\pi\) | ||||
0.509750 | + | 0.860323i | \(0.329738\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −0.910786 | −0.0864480 | ||||||||
\(112\) | −21.4166 | + | 15.5601i | −2.02368 | + | 1.47029i | ||||
\(113\) | −4.25484 | − | 13.0951i | −0.400262 | − | 1.23188i | −0.924787 | − | 0.380485i | \(-0.875757\pi\) |
0.524525 | − | 0.851395i | \(-0.324243\pi\) | |||||||
\(114\) | −1.60835 | + | 4.94999i | −0.150636 | + | 0.463609i | ||||
\(115\) | −4.21071 | − | 3.05926i | −0.392651 | − | 0.285278i | ||||
\(116\) | 4.65252 | + | 3.38026i | 0.431976 | + | 0.313849i | ||||
\(117\) | −2.50476 | + | 7.70886i | −0.231565 | + | 0.712684i | ||||
\(118\) | 3.14957 | + | 9.69338i | 0.289941 | + | 0.892348i | ||||
\(119\) | 3.78600 | − | 2.75069i | 0.347062 | − | 0.252155i | ||||
\(120\) | −10.1407 | −0.925717 | ||||||||
\(121\) | 0 | 0 | ||||||||
\(122\) | 8.42909 | 0.763134 | ||||||||
\(123\) | 5.96109 | − | 4.33099i | 0.537494 | − | 0.390512i | ||||
\(124\) | −6.88921 | − | 21.2028i | −0.618669 | − | 1.90407i | ||||
\(125\) | 0.309017 | − | 0.951057i | 0.0276393 | − | 0.0850651i | ||||
\(126\) | −6.70994 | − | 4.87506i | −0.597769 | − | 0.434305i | ||||
\(127\) | −9.96133 | − | 7.23733i | −0.883925 | − | 0.642209i | 0.0503620 | − | 0.998731i | \(-0.483963\pi\) |
−0.934287 | + | 0.356522i | \(0.883963\pi\) | |||||||
\(128\) | −0.748980 | + | 2.30512i | −0.0662011 | + | 0.203746i | ||||
\(129\) | −1.57387 | − | 4.84386i | −0.138571 | − | 0.426478i | ||||
\(130\) | 14.2819 | − | 10.3764i | 1.25261 | − | 0.910074i | ||||
\(131\) | −19.5102 | −1.70461 | −0.852306 | − | 0.523043i | \(-0.824797\pi\) | ||||
−0.852306 | + | 0.523043i | \(0.824797\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 3.88448 | 0.336827 | ||||||||
\(134\) | 9.89215 | − | 7.18707i | 0.854552 | − | 0.620868i | ||||
\(135\) | −1.74095 | − | 5.35808i | −0.149837 | − | 0.461150i | ||||
\(136\) | 4.17132 | − | 12.8380i | 0.357688 | − | 1.10085i | ||||
\(137\) | 6.92861 | + | 5.03393i | 0.591951 | + | 0.430078i | 0.843013 | − | 0.537893i | \(-0.180780\pi\) |
−0.251062 | + | 0.967971i | \(0.580780\pi\) | |||||||
\(138\) | 14.8032 | + | 10.7552i | 1.26013 | + | 0.915541i | ||||
\(139\) | −0.612978 | + | 1.88655i | −0.0519921 | + | 0.160015i | −0.973681 | − | 0.227914i | \(-0.926810\pi\) |
0.921689 | + | 0.387929i | \(0.126810\pi\) | |||||||
\(140\) | 3.96038 | + | 12.1888i | 0.334713 | + | 1.03014i | ||||
\(141\) | −7.21946 | + | 5.24525i | −0.607988 | + | 0.441729i | ||||
\(142\) | −10.1922 | −0.855313 | ||||||||
\(143\) | 0 | 0 | ||||||||
\(144\) | −12.1548 | −1.01290 | ||||||||
\(145\) | 0.952511 | − | 0.692040i | 0.0791017 | − | 0.0574708i | ||||
\(146\) | −2.89225 | − | 8.90142i | −0.239364 | − | 0.736687i | ||||
\(147\) | −0.0478289 | + | 0.147202i | −0.00394486 | + | 0.0121410i | ||||
\(148\) | 2.68614 | + | 1.95159i | 0.220799 | + | 0.160420i | ||||
\(149\) | −14.8449 | − | 10.7855i | −1.21614 | − | 0.883578i | −0.220368 | − | 0.975417i | \(-0.570726\pi\) |
−0.995774 | + | 0.0918384i | \(0.970726\pi\) | |||||||
\(150\) | −1.08638 | + | 3.34354i | −0.0887028 | + | 0.272999i | ||||
\(151\) | −5.32234 | − | 16.3805i | −0.433126 | − | 1.33302i | −0.894995 | − | 0.446076i | \(-0.852821\pi\) |
0.461870 | − | 0.886948i | \(-0.347179\pi\) | |||||||
\(152\) | 9.06482 | − | 6.58598i | 0.735254 | − | 0.534193i | ||||
\(153\) | 2.14871 | 0.173713 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −4.56424 | −0.366608 | ||||||||
\(156\) | −35.6234 | + | 25.8819i | −2.85215 | + | 2.07221i | ||||
\(157\) | −6.45766 | − | 19.8746i | −0.515378 | − | 1.58617i | −0.782594 | − | 0.622533i | \(-0.786104\pi\) |
0.267216 | − | 0.963637i | \(-0.413896\pi\) | |||||||
\(158\) | −12.2730 | + | 37.7725i | −0.976390 | + | 3.00502i | ||||
\(159\) | −15.4944 | − | 11.2573i | −1.22879 | − | 0.892765i | ||||
\(160\) | 9.17069 | + | 6.66289i | 0.725006 | + | 0.526748i | ||||
\(161\) | 4.22004 | − | 12.9879i | 0.332586 | − | 1.02359i | ||||
\(162\) | 3.19007 | + | 9.81803i | 0.250636 | + | 0.771378i | ||||
\(163\) | −7.64957 | + | 5.55774i | −0.599161 | + | 0.435316i | −0.845581 | − | 0.533847i | \(-0.820746\pi\) |
0.246420 | + | 0.969163i | \(0.420746\pi\) | |||||||
\(164\) | −26.8610 | −2.09749 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 19.2440 | 1.49362 | ||||||||
\(167\) | −7.64442 | + | 5.55399i | −0.591543 | + | 0.429781i | −0.842867 | − | 0.538122i | \(-0.819134\pi\) |
0.251324 | + | 0.967903i | \(0.419134\pi\) | |||||||
\(168\) | −8.22218 | − | 25.3053i | −0.634355 | − | 1.95234i | ||||
\(169\) | 9.97125 | − | 30.6884i | 0.767019 | − | 2.36064i | ||||
\(170\) | −3.78600 | − | 2.75069i | −0.290373 | − | 0.210968i | ||||
\(171\) | 1.44293 | + | 1.04835i | 0.110344 | + | 0.0801693i | ||||
\(172\) | −5.73748 | + | 17.6582i | −0.437479 | + | 1.34642i | ||||
\(173\) | 2.80676 | + | 8.63831i | 0.213394 | + | 0.656759i | 0.999264 | + | 0.0383668i | \(0.0122155\pi\) |
−0.785870 | + | 0.618392i | \(0.787784\pi\) | |||||||
\(174\) | −3.34866 | + | 2.43294i | −0.253861 | + | 0.184441i | ||||
\(175\) | 2.62383 | 0.198343 | ||||||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −5.20473 | −0.391211 | ||||||||
\(178\) | 7.32068 | − | 5.31879i | 0.548708 | − | 0.398660i | ||||
\(179\) | −4.25484 | − | 13.0951i | −0.318022 | − | 0.978771i | −0.974493 | − | 0.224420i | \(-0.927951\pi\) |
0.656471 | − | 0.754352i | \(-0.272049\pi\) | |||||||
\(180\) | −1.81841 | + | 5.59648i | −0.135536 | + | 0.417137i | ||||
\(181\) | 19.3017 | + | 14.0235i | 1.43468 | + | 1.04236i | 0.989121 | + | 0.147106i | \(0.0469959\pi\) |
0.445561 | + | 0.895251i | \(0.353004\pi\) | |||||||
\(182\) | 37.4734 | + | 27.2260i | 2.77771 | + | 2.01813i | ||||
\(183\) | −1.33012 | + | 4.09370i | −0.0983256 | + | 0.302615i | ||||
\(184\) | −12.1726 | − | 37.4635i | −0.897378 | − | 2.76185i | ||||
\(185\) | 0.549932 | − | 0.399549i | 0.0404318 | − | 0.0293754i | ||||
\(186\) | 16.0461 | 1.17656 | ||||||||
\(187\) | 0 | 0 | ||||||||
\(188\) | 32.5313 | 2.37259 | ||||||||
\(189\) | 11.9590 | − | 8.68875i | 0.869892 | − | 0.632014i | ||||
\(190\) | −1.20037 | − | 3.69436i | −0.0870841 | − | 0.268017i | ||||
\(191\) | 4.96371 | − | 15.2767i | 0.359162 | − | 1.10539i | −0.594395 | − | 0.804173i | \(-0.702609\pi\) |
0.953557 | − | 0.301213i | \(-0.0973915\pi\) | |||||||
\(192\) | −10.3675 | − | 7.53241i | −0.748208 | − | 0.543605i | ||||
\(193\) | 17.3605 | + | 12.6132i | 1.24964 | + | 0.907916i | 0.998201 | − | 0.0599578i | \(-0.0190966\pi\) |
0.251438 | + | 0.967873i | \(0.419097\pi\) | |||||||
\(194\) | −1.19596 | + | 3.68079i | −0.0858650 | + | 0.264265i | ||||
\(195\) | 2.78574 | + | 8.57364i | 0.199491 | + | 0.613971i | ||||
\(196\) | 0.456478 | − | 0.331650i | 0.0326056 | − | 0.0236893i | ||||
\(197\) | −9.21494 | −0.656537 | −0.328269 | − | 0.944584i | \(-0.606465\pi\) | ||||
−0.328269 | + | 0.944584i | \(0.606465\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −16.4880 | −1.16880 | −0.584401 | − | 0.811465i | \(-0.698670\pi\) | ||||
−0.584401 | + | 0.811465i | \(0.698670\pi\) | |||||||
\(200\) | 6.12296 | − | 4.44859i | 0.432959 | − | 0.314563i | ||||
\(201\) | 1.92950 | + | 5.93839i | 0.136096 | + | 0.418862i | ||||
\(202\) | −2.76696 | + | 8.51582i | −0.194683 | + | 0.599171i | ||||
\(203\) | 2.49923 | + | 1.81579i | 0.175411 | + | 0.127444i | ||||
\(204\) | 9.44340 | + | 6.86103i | 0.661170 | + | 0.480368i | ||||
\(205\) | −1.69936 | + | 5.23010i | −0.118689 | + | 0.365286i | ||||
\(206\) | 4.03271 | + | 12.4114i | 0.280972 | + | 0.864744i | ||||
\(207\) | 5.07277 | − | 3.68559i | 0.352582 | − | 0.256166i | ||||
\(208\) | 67.8815 | 4.70673 | ||||||||
\(209\) | 0 | 0 | ||||||||
\(210\) | −9.22436 | −0.636541 | ||||||||
\(211\) | 12.0007 | − | 8.71903i | 0.826163 | − | 0.600243i | −0.0923082 | − | 0.995730i | \(-0.529424\pi\) |
0.918471 | + | 0.395488i | \(0.129424\pi\) | |||||||
\(212\) | 21.5751 | + | 66.4014i | 1.48178 | + | 4.56046i | ||||
\(213\) | 1.60835 | − | 4.94999i | 0.110202 | − | 0.339168i | ||||
\(214\) | −14.9975 | − | 10.8963i | −1.02521 | − | 0.744857i | ||||
\(215\) | 3.07523 | + | 2.23429i | 0.209729 | + | 0.152377i | ||||
\(216\) | 13.1762 | − | 40.5521i | 0.896525 | − | 2.75922i | ||||
\(217\) | −3.70072 | − | 11.3896i | −0.251221 | − | 0.773180i | ||||
\(218\) | 22.5940 | − | 16.4155i | 1.53026 | − | 1.11180i | ||||
\(219\) | 4.77950 | 0.322968 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −12.0000 | −0.807207 | ||||||||
\(222\) | −1.93335 | + | 1.40466i | −0.129758 | + | 0.0942745i | ||||
\(223\) | 7.23186 | + | 22.2574i | 0.484281 | + | 1.49046i | 0.833019 | + | 0.553244i | \(0.186610\pi\) |
−0.348738 | + | 0.937220i | \(0.613390\pi\) | |||||||
\(224\) | −9.19099 | + | 28.2870i | −0.614099 | + | 1.89000i | ||||
\(225\) | 0.974647 | + | 0.708122i | 0.0649765 | + | 0.0472082i | ||||
\(226\) | −29.2277 | − | 21.2352i | −1.94420 | − | 1.41254i | ||||
\(227\) | 0.810808 | − | 2.49541i | 0.0538152 | − | 0.165626i | −0.920537 | − | 0.390656i | \(-0.872248\pi\) |
0.974352 | + | 0.225030i | \(0.0722481\pi\) | |||||||
\(228\) | 2.99408 | + | 9.21483i | 0.198288 | + | 0.610267i | ||||
\(229\) | 17.8280 | − | 12.9528i | 1.17811 | − | 0.855945i | 0.186150 | − | 0.982521i | \(-0.440399\pi\) |
0.991957 | + | 0.126577i | \(0.0403990\pi\) | |||||||
\(230\) | −13.6563 | −0.900471 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 8.91079 | 0.585022 | ||||||||
\(233\) | 4.32397 | − | 3.14155i | 0.283273 | − | 0.205810i | −0.437071 | − | 0.899427i | \(-0.643984\pi\) |
0.720344 | + | 0.693617i | \(0.243984\pi\) | |||||||
\(234\) | 6.57206 | + | 20.2267i | 0.429629 | + | 1.32226i | ||||
\(235\) | 2.05809 | − | 6.33415i | 0.134255 | − | 0.413195i | ||||
\(236\) | 15.3500 | + | 11.1525i | 0.999203 | + | 0.725963i | ||||
\(237\) | −16.4080 | − | 11.9211i | −1.06582 | − | 0.774360i | ||||
\(238\) | 3.79438 | − | 11.6779i | 0.245953 | − | 0.756966i | ||||
\(239\) | 3.88804 | + | 11.9662i | 0.251497 | + | 0.774027i | 0.994500 | + | 0.104739i | \(0.0334007\pi\) |
−0.743003 | + | 0.669288i | \(0.766599\pi\) | |||||||
\(240\) | −10.9365 | + | 7.94586i | −0.705950 | + | 0.512903i | ||||
\(241\) | 4.28687 | 0.276141 | 0.138071 | − | 0.990422i | \(-0.455910\pi\) | ||||
0.138071 | + | 0.990422i | \(0.455910\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 11.6298 | 0.746052 | ||||||||
\(244\) | 12.6947 | − | 9.22322i | 0.812693 | − | 0.590456i | ||||
\(245\) | −0.0356965 | − | 0.109863i | −0.00228057 | − | 0.00701886i | ||||
\(246\) | 5.97429 | − | 18.3870i | 0.380907 | − | 1.17231i | ||||
\(247\) | −8.05841 | − | 5.85478i | −0.512744 | − | 0.372530i | ||||
\(248\) | −27.9466 | − | 20.3044i | −1.77461 | − | 1.28933i | ||||
\(249\) | −3.03673 | + | 9.34611i | −0.192445 | + | 0.592285i | ||||
\(250\) | −0.810808 | − | 2.49541i | −0.0512800 | − | 0.157824i | ||||
\(251\) | −8.14107 | + | 5.91483i | −0.513860 | + | 0.373341i | −0.814286 | − | 0.580464i | \(-0.802871\pi\) |
0.300426 | + | 0.953805i | \(0.402871\pi\) | |||||||
\(252\) | −15.4399 | −0.972621 | ||||||||
\(253\) | 0 | 0 | ||||||||
\(254\) | −32.3069 | −2.02712 | ||||||||
\(255\) | 1.93335 | − | 1.40466i | 0.121071 | − | 0.0879632i | ||||
\(256\) | −3.94583 | − | 12.1440i | −0.246614 | − | 0.759001i | ||||
\(257\) | −0.978184 | + | 3.01054i | −0.0610174 | + | 0.187792i | −0.976919 | − | 0.213611i | \(-0.931477\pi\) |
0.915901 | + | 0.401403i | \(0.131477\pi\) | |||||||
\(258\) | −10.8113 | − | 7.85488i | −0.673083 | − | 0.489024i | ||||
\(259\) | 1.44293 | + | 1.04835i | 0.0896592 | + | 0.0651413i | ||||
\(260\) | 10.1554 | − | 31.2550i | 0.629808 | − | 1.93835i | ||||
\(261\) | 0.438313 | + | 1.34899i | 0.0271309 | + | 0.0835003i | ||||
\(262\) | −41.4147 | + | 30.0895i | −2.55861 | + | 1.85894i | ||||
\(263\) | −22.3681 | −1.37928 | −0.689638 | − | 0.724155i | \(-0.742230\pi\) | ||||
−0.689638 | + | 0.724155i | \(0.742230\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 14.2939 | 0.878070 | ||||||||
\(266\) | 8.24568 | − | 5.99084i | 0.505575 | − | 0.367322i | ||||
\(267\) | 1.42792 | + | 4.39470i | 0.0873876 | + | 0.268951i | ||||
\(268\) | 7.03394 | − | 21.6482i | 0.429666 | − | 1.32238i | ||||
\(269\) | −12.9230 | − | 9.38910i | −0.787929 | − | 0.572464i | 0.119419 | − | 0.992844i | \(-0.461897\pi\) |
−0.907348 | + | 0.420380i | \(0.861897\pi\) | |||||||
\(270\) | −11.9590 | − | 8.68875i | −0.727804 | − | 0.528781i | ||||
\(271\) | 4.83301 | − | 14.8745i | 0.293585 | − | 0.903561i | −0.690108 | − | 0.723706i | \(-0.742437\pi\) |
0.983693 | − | 0.179855i | \(-0.0575628\pi\) | |||||||
\(272\) | −5.56067 | − | 17.1140i | −0.337165 | − | 1.03769i | ||||
\(273\) | −19.1360 | + | 13.9031i | −1.15817 | + | 0.841457i | ||||
\(274\) | 22.4711 | 1.35753 | ||||||||
\(275\) | 0 | 0 | ||||||||
\(276\) | 34.0629 | 2.05035 | ||||||||
\(277\) | 19.3222 | − | 14.0384i | 1.16096 | − | 0.843486i | 0.171060 | − | 0.985261i | \(-0.445281\pi\) |
0.989899 | + | 0.141775i | \(0.0452808\pi\) | |||||||
\(278\) | 1.60835 | + | 4.94999i | 0.0964624 | + | 0.296881i | ||||
\(279\) | 1.69918 | − | 5.22955i | 0.101727 | − | 0.313085i | ||||
\(280\) | 16.0656 | + | 11.6723i | 0.960104 | + | 0.697556i | ||||
\(281\) | 9.90550 | + | 7.19676i | 0.590912 | + | 0.429323i | 0.842642 | − | 0.538475i | \(-0.180999\pi\) |
−0.251729 | + | 0.967798i | \(0.580999\pi\) | |||||||
\(282\) | −7.23544 | + | 22.2684i | −0.430864 | + | 1.32606i | ||||
\(283\) | 6.44412 | + | 19.8330i | 0.383063 | + | 1.17895i | 0.937875 | + | 0.346972i | \(0.112790\pi\) |
−0.554812 | + | 0.831976i | \(0.687210\pi\) | |||||||
\(284\) | −15.3500 | + | 11.1525i | −0.910858 | + | 0.661777i | ||||
\(285\) | 1.98364 | 0.117501 | ||||||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −14.4291 | −0.851722 | ||||||||
\(288\) | −11.0482 | + | 8.02699i | −0.651021 | + | 0.472995i | ||||
\(289\) | −4.27028 | − | 13.1426i | −0.251193 | − | 0.773093i | ||||
\(290\) | 0.954620 | − | 2.93802i | 0.0560572 | − | 0.172526i | ||||
\(291\) | −1.59890 | − | 1.16167i | −0.0937292 | − | 0.0680983i | ||||
\(292\) | −14.0959 | − | 10.2413i | −0.824902 | − | 0.599326i | ||||
\(293\) | −4.42837 | + | 13.6291i | −0.258708 | + | 0.796222i | 0.734368 | + | 0.678752i | \(0.237479\pi\) |
−0.993076 | + | 0.117471i | \(0.962521\pi\) | |||||||
\(294\) | 0.125495 | + | 0.386234i | 0.00731901 | + | 0.0225256i | ||||
\(295\) | 3.14261 | − | 2.28324i | 0.182970 | − | 0.132936i | ||||
\(296\) | 5.14464 | 0.299026 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −48.1455 | −2.78899 | ||||||||
\(299\) | −28.3302 | + | 20.5831i | −1.63838 | + | 1.19035i | ||||
\(300\) | 2.02239 | + | 6.22429i | 0.116763 | + | 0.359360i | ||||
\(301\) | −3.08204 | + | 9.48555i | −0.177646 | + | 0.546738i | ||||
\(302\) | −36.5606 | − | 26.5628i | −2.10383 | − | 1.52852i | ||||
\(303\) | −3.69919 | − | 2.68762i | −0.212513 | − | 0.154400i | ||||
\(304\) | 4.61570 | − | 14.2057i | 0.264728 | − | 0.814750i | ||||
\(305\) | −0.992721 | − | 3.05528i | −0.0568431 | − | 0.174945i | ||||
\(306\) | 4.56111 | − | 3.31384i | 0.260741 | − | 0.189440i | ||||
\(307\) | −10.2952 | −0.587580 | −0.293790 | − | 0.955870i | \(-0.594917\pi\) | ||||
−0.293790 | + | 0.955870i | \(0.594917\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −6.66414 | −0.379110 | ||||||||
\(310\) | −9.68861 | + | 7.03919i | −0.550276 | + | 0.399799i | ||||
\(311\) | −5.91833 | − | 18.2148i | −0.335598 | − | 1.03286i | −0.966427 | − | 0.256942i | \(-0.917285\pi\) |
0.630829 | − | 0.775922i | \(-0.282715\pi\) | |||||||
\(312\) | −21.0836 | + | 64.8887i | −1.19362 | + | 3.67360i | ||||
\(313\) | 12.1140 | + | 8.80132i | 0.684722 | + | 0.497480i | 0.874921 | − | 0.484266i | \(-0.160913\pi\) |
−0.190199 | + | 0.981746i | \(0.560913\pi\) | |||||||
\(314\) | −44.3595 | − | 32.2291i | −2.50335 | − | 1.81879i | ||||
\(315\) | −0.976805 | + | 3.00630i | −0.0550367 | + | 0.169386i | ||||
\(316\) | 22.8473 | + | 70.3167i | 1.28526 | + | 3.95563i | ||||
\(317\) | −9.85255 | + | 7.15830i | −0.553375 | + | 0.402050i | −0.829028 | − | 0.559207i | \(-0.811106\pi\) |
0.275654 | + | 0.961257i | \(0.411106\pi\) | |||||||
\(318\) | −50.2519 | −2.81799 | ||||||||
\(319\) | 0 | 0 | ||||||||
\(320\) | 9.56424 | 0.534657 | ||||||||
\(321\) | 7.65858 | − | 5.56428i | 0.427460 | − | 0.310568i | ||||
\(322\) | −11.0727 | − | 34.0781i | −0.617055 | − | 1.89910i | ||||
\(323\) | −0.815957 | + | 2.51126i | −0.0454011 | + | 0.139730i | ||||
\(324\) | 15.5474 | + | 11.2959i | 0.863746 | + | 0.627549i | ||||
\(325\) | −5.44317 | − | 3.95469i | −0.301933 | − | 0.219367i | ||||
\(326\) | −7.66651 | + | 23.5951i | −0.424609 | + | 1.30681i | ||||
\(327\) | 4.40705 | + | 13.5635i | 0.243710 | + | 0.750063i | ||||
\(328\) | −33.6717 | + | 24.4639i | −1.85921 | + | 1.35079i | ||||
\(329\) | 17.4750 | 0.963430 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −15.8319 | −0.870199 | −0.435099 | − | 0.900382i | \(-0.643287\pi\) | ||||
−0.435099 | + | 0.900382i | \(0.643287\pi\) | |||||||
\(332\) | 28.9825 | − | 21.0570i | 1.59062 | − | 1.15565i | ||||
\(333\) | 0.253060 | + | 0.778839i | 0.0138676 | + | 0.0426801i | ||||
\(334\) | −7.66134 | + | 23.5792i | −0.419210 | + | 1.29020i | ||||
\(335\) | −3.77012 | − | 2.73915i | −0.205984 | − | 0.149656i | ||||
\(336\) | −28.6956 | − | 20.8486i | −1.56547 | − | 1.13738i | ||||
\(337\) | −2.07910 | + | 6.39883i | −0.113256 | + | 0.348566i | −0.991579 | − | 0.129501i | \(-0.958662\pi\) |
0.878323 | + | 0.478067i | \(0.158662\pi\) | |||||||
\(338\) | −26.1629 | − | 80.5210i | −1.42307 | − | 4.37977i | ||||
\(339\) | 14.9253 | − | 10.8439i | 0.810633 | − | 0.588959i | ||||
\(340\) | −8.71176 | −0.472462 | ||||||||
\(341\) | 0 | 0 | ||||||||
\(342\) | 4.67975 | 0.253052 | ||||||||
\(343\) | 15.1043 | − | 10.9739i | 0.815554 | − | 0.592535i | ||||
\(344\) | 8.89010 | + | 27.3609i | 0.479322 | + | 1.47520i | ||||
\(345\) | 2.15499 | − | 6.63238i | 0.116021 | − | 0.357075i | ||||
\(346\) | 19.2804 | + | 14.0080i | 1.03652 | + | 0.753076i | ||||
\(347\) | 27.1050 | + | 19.6929i | 1.45507 | + | 1.05717i | 0.984613 | + | 0.174749i | \(0.0559115\pi\) |
0.470459 | + | 0.882422i | \(0.344088\pi\) | |||||||
\(348\) | −2.38110 | + | 7.32828i | −0.127641 | + | 0.392837i | ||||
\(349\) | −7.03761 | − | 21.6595i | −0.376715 | − | 1.15941i | −0.942314 | − | 0.334729i | \(-0.891355\pi\) |
0.565600 | − | 0.824680i | \(-0.308645\pi\) | |||||||
\(350\) | 5.56966 | − | 4.04660i | 0.297711 | − | 0.216300i | ||||
\(351\) | −37.9050 | −2.02322 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −15.4617 | −0.822942 | −0.411471 | − | 0.911423i | \(-0.634985\pi\) | ||||
−0.411471 | + | 0.911423i | \(0.634985\pi\) | |||||||
\(354\) | −11.0482 | + | 8.02699i | −0.587205 | + | 0.426630i | ||||
\(355\) | 1.20037 | + | 3.69436i | 0.0637091 | + | 0.196076i | ||||
\(356\) | 5.20546 | − | 16.0208i | 0.275889 | − | 0.849099i | ||||
\(357\) | 5.07277 | + | 3.68559i | 0.268480 | + | 0.195062i | ||||
\(358\) | −29.2277 | − | 21.2352i | −1.54473 | − | 1.12231i | ||||
\(359\) | −2.96225 | + | 9.11686i | −0.156341 | + | 0.481169i | −0.998294 | − | 0.0583815i | \(-0.981406\pi\) |
0.841953 | + | 0.539551i | \(0.181406\pi\) | |||||||
\(360\) | 2.81758 | + | 8.67161i | 0.148499 | + | 0.457034i | ||||
\(361\) | 13.5981 | − | 9.87963i | 0.715692 | − | 0.519980i | ||||
\(362\) | 62.5998 | 3.29017 | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 86.2280 | 4.51957 | ||||||||
\(365\) | −2.88586 | + | 2.09670i | −0.151053 | + | 0.109746i | ||||
\(366\) | 3.49002 | + | 10.7412i | 0.182426 | + | 0.561450i | ||||
\(367\) | −3.34930 | + | 10.3081i | −0.174832 | + | 0.538077i | −0.999626 | − | 0.0273564i | \(-0.991291\pi\) |
0.824794 | + | 0.565433i | \(0.191291\pi\) | |||||||
\(368\) | −42.4828 | − | 30.8656i | −2.21457 | − | 1.60898i | ||||
\(369\) | −5.35983 | − | 3.89414i | −0.279021 | − | 0.202721i | ||||
\(370\) | 0.551150 | − | 1.69626i | 0.0286529 | − | 0.0881846i | ||||
\(371\) | 11.5896 | + | 35.6693i | 0.601704 | + | 1.85186i | ||||
\(372\) | 24.1663 | − | 17.5578i | 1.25296 | − | 0.910330i | ||||
\(373\) | 10.0212 | 0.518878 | 0.259439 | − | 0.965759i | \(-0.416462\pi\) | ||||
0.259439 | + | 0.965759i | \(0.416462\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 1.33988 | 0.0691909 | ||||||||
\(376\) | 40.7797 | − | 29.6282i | 2.10305 | − | 1.52796i | ||||
\(377\) | −2.44787 | − | 7.53377i | −0.126072 | − | 0.388009i | ||||
\(378\) | 11.9855 | − | 36.8876i | 0.616468 | − | 1.89729i | ||||
\(379\) | −3.39121 | − | 2.46386i | −0.174195 | − | 0.126560i | 0.497272 | − | 0.867595i | \(-0.334335\pi\) |
−0.671466 | + | 0.741035i | \(0.734335\pi\) | |||||||
\(380\) | −5.85024 | − | 4.25045i | −0.300111 | − | 0.218044i | ||||
\(381\) | 5.09808 | − | 15.6903i | 0.261183 | − | 0.803838i | ||||
\(382\) | −13.0239 | − | 40.0836i | −0.666363 | − | 2.05085i | ||||
\(383\) | −15.5687 | + | 11.3113i | −0.795524 | + | 0.577982i | −0.909598 | − | 0.415490i | \(-0.863610\pi\) |
0.114073 | + | 0.993472i | \(0.463610\pi\) | |||||||
\(384\) | −3.24753 | −0.165725 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 56.3042 | 2.86581 | ||||||||
\(387\) | −3.70483 | + | 2.69171i | −0.188327 | + | 0.136828i | ||||
\(388\) | 2.22638 | + | 6.85211i | 0.113028 | + | 0.347863i | ||||
\(389\) | −8.78301 | + | 27.0313i | −0.445316 | + | 1.37054i | 0.436820 | + | 0.899549i | \(0.356105\pi\) |
−0.882137 | + | 0.470994i | \(0.843895\pi\) | |||||||
\(390\) | 19.1360 | + | 13.9031i | 0.968991 | + | 0.704013i | ||||
\(391\) | 7.51006 | + | 5.45637i | 0.379800 | + | 0.275941i | ||||
\(392\) | 0.270165 | − | 0.831483i | 0.0136454 | − | 0.0419962i | ||||
\(393\) | −8.07809 | − | 24.8618i | −0.407486 | − | 1.25411i | ||||
\(394\) | −19.5608 | + | 14.2117i | −0.985457 | + | 0.715976i | ||||
\(395\) | 15.1368 | 0.761615 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −22.1784 | −1.11310 | −0.556552 | − | 0.830813i | \(-0.687876\pi\) | ||||
−0.556552 | + | 0.830813i | \(0.687876\pi\) | |||||||
\(398\) | −34.9994 | + | 25.4286i | −1.75436 | + | 1.27462i | ||||
\(399\) | 1.60835 | + | 4.94999i | 0.0805182 | + | 0.247810i | ||||
\(400\) | 3.11774 | − | 9.59541i | 0.155887 | − | 0.479771i | ||||
\(401\) | −17.8598 | − | 12.9759i | −0.891874 | − | 0.647984i | 0.0444923 | − | 0.999010i | \(-0.485833\pi\) |
−0.936366 | + | 0.351026i | \(0.885833\pi\) | |||||||
\(402\) | 13.2543 | + | 9.62979i | 0.661063 | + | 0.480290i | ||||
\(403\) | −9.48953 | + | 29.2058i | −0.472707 | + | 1.45484i | ||||
\(404\) | 5.15093 | + | 15.8529i | 0.256268 | + | 0.788713i | ||||
\(405\) | 3.18303 | − | 2.31260i | 0.158166 | − | 0.114914i | ||||
\(406\) | 8.10557 | 0.402273 | ||||||||
\(407\) | 0 | 0 | ||||||||
\(408\) | 18.0866 | 0.895418 | ||||||||
\(409\) | 19.9595 | − | 14.5014i | 0.986934 | − | 0.717050i | 0.0276868 | − | 0.999617i | \(-0.491186\pi\) |
0.959248 | + | 0.282567i | \(0.0911859\pi\) | |||||||
\(410\) | 4.45883 | + | 13.7229i | 0.220206 | + | 0.677725i | ||||
\(411\) | −3.54598 | + | 10.9134i | −0.174910 | + | 0.538318i | ||||
\(412\) | 19.6542 | + | 14.2796i | 0.968294 | + | 0.703506i | ||||
\(413\) | 8.24568 | + | 5.99084i | 0.405744 | + | 0.294790i | ||||
\(414\) | 5.08400 | − | 15.6470i | 0.249865 | − | 0.769006i | ||||
\(415\) | −2.26643 | − | 6.97535i | −0.111255 | − | 0.342406i | ||||
\(416\) | 61.7015 | − | 44.8288i | 3.02517 | − | 2.19791i | ||||
\(417\) | −2.65783 | −0.130155 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 17.6535 | 0.862428 | 0.431214 | − | 0.902250i | \(-0.358085\pi\) | ||||
0.431214 | + | 0.902250i | \(0.358085\pi\) | |||||||
\(420\) | −13.8924 | + | 10.0934i | −0.677879 | + | 0.492508i | ||||
\(421\) | 0.471244 | + | 1.45034i | 0.0229670 | + | 0.0706852i | 0.961883 | − | 0.273461i | \(-0.0881684\pi\) |
−0.938916 | + | 0.344146i | \(0.888168\pi\) | |||||||
\(422\) | 12.0273 | − | 37.0162i | 0.585479 | − | 1.80192i | ||||
\(423\) | 6.49127 | + | 4.71618i | 0.315616 | + | 0.229309i | ||||
\(424\) | 87.5212 | + | 63.5879i | 4.25041 | + | 3.08810i | ||||
\(425\) | −0.551150 | + | 1.69626i | −0.0267347 | + | 0.0822809i | ||||
\(426\) | −4.22004 | − | 12.9879i | −0.204461 | − | 0.629268i | ||||
\(427\) | 6.81928 | − | 4.95450i | 0.330008 | − | 0.239765i | ||||
\(428\) | −34.5099 | −1.66810 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 9.97370 | 0.480974 | ||||||||
\(431\) | −13.5505 | + | 9.84501i | −0.652704 | + | 0.474217i | −0.864191 | − | 0.503163i | \(-0.832169\pi\) |
0.211487 | + | 0.977381i | \(0.432169\pi\) | |||||||
\(432\) | −17.5648 | − | 54.0588i | −0.845086 | − | 2.60091i | ||||
\(433\) | 2.30991 | − | 7.10917i | 0.111007 | − | 0.341645i | −0.880086 | − | 0.474814i | \(-0.842515\pi\) |
0.991093 | + | 0.133169i | \(0.0425153\pi\) | |||||||
\(434\) | −25.4213 | − | 18.4696i | −1.22026 | − | 0.886571i | ||||
\(435\) | 1.27625 | + | 0.927248i | 0.0611914 | + | 0.0444581i | ||||
\(436\) | 16.0658 | − | 49.4454i | 0.769411 | − | 2.36800i | ||||
\(437\) | 2.38110 | + | 7.32828i | 0.113904 | + | 0.350559i | ||||
\(438\) | 10.1455 | − | 7.37117i | 0.484773 | − | 0.352208i | ||||
\(439\) | −17.4585 | −0.833250 | −0.416625 | − | 0.909078i | \(-0.636787\pi\) | ||||
−0.416625 | + | 0.909078i | \(0.636787\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 0.139166 | 0.00662695 | ||||||||
\(442\) | −25.4727 | + | 18.5070i | −1.21161 | + | 0.880287i | ||||
\(443\) | −4.53754 | − | 13.9651i | −0.215585 | − | 0.663502i | −0.999112 | − | 0.0421438i | \(-0.986581\pi\) |
0.783527 | − | 0.621358i | \(-0.213419\pi\) | |||||||
\(444\) | −1.37473 | + | 4.23099i | −0.0652418 | + | 0.200794i | ||||
\(445\) | −2.79007 | − | 2.02711i | −0.132262 | − | 0.0960941i | ||||
\(446\) | 49.6776 | + | 36.0929i | 2.35230 | + | 1.70905i | ||||
\(447\) | 7.59743 | − | 23.3825i | 0.359346 | − | 1.10595i | ||||
\(448\) | 7.75476 | + | 23.8667i | 0.366378 | + | 1.12760i | ||||
\(449\) | 1.05762 | − | 0.768404i | 0.0499121 | − | 0.0362632i | −0.562549 | − | 0.826764i | \(-0.690179\pi\) |
0.612462 | + | 0.790500i | \(0.290179\pi\) | |||||||
\(450\) | 3.16101 | 0.149011 | ||||||||
\(451\) | 0 | 0 | ||||||||
\(452\) | −67.2543 | −3.16338 | ||||||||
\(453\) | 18.6699 | − | 13.5645i | 0.877189 | − | 0.637315i | ||||
\(454\) | −2.12742 | − | 6.54753i | −0.0998449 | − | 0.307291i | ||||
\(455\) | 5.45522 | − | 16.7894i | 0.255744 | − | 0.787101i | ||||
\(456\) | 12.1457 | + | 8.82440i | 0.568776 | + | 0.413240i | ||||
\(457\) | 8.24568 | + | 5.99084i | 0.385717 | + | 0.280240i | 0.763698 | − | 0.645574i | \(-0.223382\pi\) |
−0.377981 | + | 0.925813i | \(0.623382\pi\) | |||||||
\(458\) | 17.8675 | − | 54.9904i | 0.834892 | − | 2.56953i | ||||
\(459\) | 3.10508 | + | 9.55645i | 0.144933 | + | 0.446057i | ||||
\(460\) | −20.5672 | + | 14.9429i | −0.958949 | + | 0.696717i | ||||
\(461\) | 4.12180 | 0.191971 | 0.0959857 | − | 0.995383i | \(-0.469400\pi\) | ||||
0.0959857 | + | 0.995383i | \(0.469400\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 32.7623 | 1.52259 | 0.761296 | − | 0.648404i | \(-0.224563\pi\) | ||||
0.761296 | + | 0.648404i | \(0.224563\pi\) | |||||||
\(464\) | 9.61008 | − | 6.98214i | 0.446137 | − | 0.324137i | ||||
\(465\) | −1.88980 | − | 5.81620i | −0.0876373 | − | 0.269720i | ||||
\(466\) | 4.33355 | − | 13.3373i | 0.200748 | − | 0.617838i | ||||
\(467\) | −30.6734 | − | 22.2855i | −1.41940 | − | 1.03125i | −0.991871 | − | 0.127248i | \(-0.959386\pi\) |
−0.427525 | − | 0.904003i | \(-0.640614\pi\) | |||||||
\(468\) | 32.0302 | + | 23.2713i | 1.48060 | + | 1.07572i | ||||
\(469\) | 3.77847 | − | 11.6289i | 0.174473 | − | 0.536974i | ||||
\(470\) | −5.40008 | − | 16.6197i | −0.249087 | − | 0.766612i | ||||
\(471\) | 22.6525 | − | 16.4580i | 1.04377 | − | 0.758344i | ||||
\(472\) | 29.3993 | 1.35321 | ||||||||
\(473\) | 0 | 0 | ||||||||
\(474\) | −53.2150 | −2.44425 | ||||||||
\(475\) | −1.19772 | + | 0.870194i | −0.0549552 | + | 0.0399273i | ||||
\(476\) | −7.06357 | − | 21.7394i | −0.323758 | − | 0.996425i | ||||
\(477\) | −5.32138 | + | 16.3775i | −0.243649 | + | 0.749875i | ||||
\(478\) | 26.7080 | + | 19.4045i | 1.22160 | + | 0.887543i | ||||
\(479\) | −5.22628 | − | 3.79712i | −0.238795 | − | 0.173495i | 0.461951 | − | 0.886905i | \(-0.347149\pi\) |
−0.700746 | + | 0.713411i | \(0.747149\pi\) | |||||||
\(480\) | −4.69344 | + | 14.4449i | −0.214225 | + | 0.659318i | ||||
\(481\) | −1.41328 | − | 4.34963i | −0.0644400 | − | 0.198326i | ||||
\(482\) | 9.09983 | − | 6.61141i | 0.414486 | − | 0.301142i | ||||
\(483\) | 18.2978 | 0.832579 | ||||||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 1.47502 | 0.0669774 | ||||||||
\(486\) | 24.6868 | − | 17.9360i | 1.11982 | − | 0.813596i | ||||
\(487\) | 13.4304 | + | 41.3345i | 0.608589 | + | 1.87305i | 0.469925 | + | 0.882706i | \(0.344281\pi\) |
0.138664 | + | 0.990339i | \(0.455719\pi\) | |||||||
\(488\) | 7.51331 | − | 23.1236i | 0.340111 | − | 1.04676i | ||||
\(489\) | −10.2495 | − | 7.44669i | −0.463498 | − | 0.336751i | ||||
\(490\) | −0.245209 | − | 0.178155i | −0.0110774 | − | 0.00804822i | ||||
\(491\) | 1.68528 | − | 5.18677i | 0.0760558 | − | 0.234076i | −0.905800 | − | 0.423706i | \(-0.860729\pi\) |
0.981856 | + | 0.189630i | \(0.0607290\pi\) | |||||||
\(492\) | −11.1216 | − | 34.2289i | −0.501403 | − | 1.54316i | ||||
\(493\) | −1.69886 | + | 1.23429i | −0.0765127 | + | 0.0555898i | ||||
\(494\) | −26.1353 | −1.17588 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −46.0496 | −2.06769 | ||||||||
\(497\) | −8.24568 | + | 5.99084i | −0.369869 | + | 0.268726i | ||||
\(498\) | 7.96787 | + | 24.5226i | 0.357049 | + | 1.09888i | ||||
\(499\) | 3.85900 | − | 11.8768i | 0.172753 | − | 0.531678i | −0.826771 | − | 0.562538i | \(-0.809825\pi\) |
0.999524 | + | 0.0308608i | \(0.00982486\pi\) | |||||||
\(500\) | −3.95163 | − | 2.87103i | −0.176722 | − | 0.128396i | ||||
\(501\) | −10.2426 | − | 7.44167i | −0.457605 | − | 0.332469i | ||||
\(502\) | −8.15909 | + | 25.1111i | −0.364158 | + | 1.12076i | ||||
\(503\) | 6.44412 | + | 19.8330i | 0.287329 | + | 0.884309i | 0.985691 | + | 0.168563i | \(0.0539128\pi\) |
−0.698362 | + | 0.715745i | \(0.746087\pi\) | |||||||
\(504\) | −19.3547 | + | 14.0620i | −0.862128 | + | 0.626372i | ||||
\(505\) | 3.41259 | 0.151858 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 43.2347 | 1.92012 | ||||||||
\(508\) | −48.6559 | + | 35.3506i | −2.15876 | + | 1.56843i | ||||
\(509\) | −8.21281 | − | 25.2764i | −0.364026 | − | 1.12036i | −0.950589 | − | 0.310453i | \(-0.899519\pi\) |
0.586562 | − | 0.809904i | \(-0.300481\pi\) | |||||||
\(510\) | 1.93763 | − | 5.96340i | 0.0857996 | − | 0.264064i | ||||
\(511\) | −7.57200 | − | 5.50138i | −0.334966 | − | 0.243367i | ||||
\(512\) | −31.0267 | − | 22.5422i | −1.37120 | − | 0.996234i | ||||
\(513\) | −2.57741 | + | 7.93244i | −0.113795 | + | 0.350226i | ||||
\(514\) | 2.56659 | + | 7.89914i | 0.113207 | + | 0.348416i | ||||
\(515\) | 4.02381 | − | 2.92347i | 0.177310 | − | 0.128823i | ||||
\(516\) | −24.8773 | −1.09516 | ||||||||
\(517\) | 0 | 0 | ||||||||
\(518\) | 4.67975 | 0.205617 | ||||||||
\(519\) | −9.84567 | + | 7.15330i | −0.432177 | + | 0.313995i | ||||
\(520\) | −15.7355 | − | 48.4288i | −0.690047 | − | 2.12374i | ||||
\(521\) | −7.11952 | + | 21.9116i | −0.311912 | + | 0.959966i | 0.665095 | + | 0.746759i | \(0.268391\pi\) |
−0.977007 | + | 0.213208i | \(0.931609\pi\) | |||||||
\(522\) | 3.01089 | + | 2.18754i | 0.131783 | + | 0.0957461i | ||||
\(523\) | −0.957324 | − | 0.695537i | −0.0418609 | − | 0.0304137i | 0.566658 | − | 0.823953i | \(-0.308236\pi\) |
−0.608519 | + | 0.793539i | \(0.708236\pi\) | |||||||
\(524\) | −29.4484 | + | 90.6330i | −1.28646 | + | 3.95932i | ||||
\(525\) | 1.08638 | + | 3.34354i | 0.0474136 | + | 0.145924i | ||||
\(526\) | −47.4813 | + | 34.4972i | −2.07028 | + | 1.50415i | ||||
\(527\) | 8.14058 | 0.354609 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 4.08921 | 0.177792 | ||||||||
\(530\) | 30.3421 | − | 22.0448i | 1.31798 | − | 0.957566i | ||||
\(531\) | 1.44612 | + | 4.45071i | 0.0627564 | + | 0.193144i | ||||
\(532\) | 5.86319 | − | 18.0451i | 0.254202 | − | 0.782353i | ||||
\(533\) | 29.9333 | + | 21.7478i | 1.29656 | + | 0.942003i | ||||
\(534\) | 9.80881 | + | 7.12652i | 0.424469 | + | 0.308395i | ||||
\(535\) | −2.18327 | + | 6.71942i | −0.0943911 | + | 0.290506i | ||||
\(536\) | −10.8989 | − | 33.5434i | −0.470762 | − | 1.44886i | ||||
\(537\) | 14.9253 | − | 10.8439i | 0.644075 | − | 0.467948i | ||||
\(538\) | −41.9123 | −1.80697 | ||||||||
\(539\) | 0 | 0 | ||||||||
\(540\) | −27.5183 | −1.18420 | ||||||||
\(541\) | −25.5694 | + | 18.5772i | −1.09931 | + | 0.798697i | −0.980948 | − | 0.194273i | \(-0.937765\pi\) |
−0.118365 | + | 0.992970i | \(0.537765\pi\) | |||||||
\(542\) | −12.6810 | − | 39.0281i | −0.544696 | − | 1.67640i | ||||
\(543\) | −9.87835 | + | 30.4024i | −0.423921 | + | 1.30469i | ||||
\(544\) | −16.3565 | − | 11.8837i | −0.701277 | − | 0.509508i | ||||
\(545\) | −8.61109 | − | 6.25632i | −0.368859 | − | 0.267991i | ||||
\(546\) | −19.1784 | + | 59.0251i | −0.820760 | + | 2.52604i | ||||
\(547\) | 1.53877 | + | 4.73586i | 0.0657932 | + | 0.202491i | 0.978549 | − | 0.206016i | \(-0.0660498\pi\) |
−0.912755 | + | 0.408506i | \(0.866050\pi\) | |||||||
\(548\) | 33.8427 | − | 24.5882i | 1.44569 | − | 1.05035i | ||||
\(549\) | 3.87021 | 0.165177 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −1.74305 | −0.0742564 | ||||||||
\(552\) | 42.6997 | − | 31.0231i | 1.81742 | − | 1.32043i | ||||
\(553\) | 12.2730 | + | 37.7725i | 0.521902 | + | 1.60625i | ||||
\(554\) | 19.3650 | − | 59.5993i | 0.822739 | − | 2.53213i | ||||
\(555\) | 0.736842 | + | 0.535347i | 0.0312772 | + | 0.0227242i | ||||
\(556\) | 7.83861 | + | 5.69508i | 0.332431 | + | 0.241525i | ||||
\(557\) | 7.76527 | − | 23.8990i | 0.329025 | − | 1.01263i | −0.640566 | − | 0.767903i | \(-0.721300\pi\) |
0.969591 | − | 0.244732i | \(-0.0786998\pi\) | |||||||
\(558\) | −4.45837 | − | 13.7214i | −0.188738 | − | 0.580875i | ||||
\(559\) | 20.6906 | − | 15.0326i | 0.875117 | − | 0.635810i | ||||
\(560\) | 26.4724 | 1.11866 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 32.1258 | 1.35515 | ||||||||
\(563\) | −9.17069 | + | 6.66289i | −0.386498 | + | 0.280807i | −0.764019 | − | 0.645194i | \(-0.776777\pi\) |
0.377521 | + | 0.926001i | \(0.376777\pi\) | |||||||
\(564\) | 13.4694 | + | 41.4545i | 0.567164 | + | 1.74555i | ||||
\(565\) | −4.25484 | + | 13.0951i | −0.179003 | + | 0.550914i | ||||
\(566\) | 44.2665 | + | 32.1615i | 1.86066 | + | 1.35185i | ||||
\(567\) | 8.35172 | + | 6.06788i | 0.350739 | + | 0.254827i | ||||
\(568\) | −9.08489 | + | 27.9604i | −0.381193 | + | 1.17319i | ||||
\(569\) | 3.69562 | + | 11.3740i | 0.154929 | + | 0.476821i | 0.998154 | − | 0.0607395i | \(-0.0193459\pi\) |
−0.843225 | + | 0.537561i | \(0.819346\pi\) | |||||||
\(570\) | 4.21071 | − | 3.05926i | 0.176367 | − | 0.128138i | ||||
\(571\) | 29.8054 | 1.24732 | 0.623659 | − | 0.781697i | \(-0.285645\pi\) | ||||
0.623659 | + | 0.781697i | \(0.285645\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 21.5223 | 0.899108 | ||||||||
\(574\) | −30.6290 | + | 22.2532i | −1.27843 | + | 0.928832i | ||||
\(575\) | 1.60835 | + | 4.94999i | 0.0670728 | + | 0.206429i | ||||
\(576\) | −3.56059 | + | 10.9584i | −0.148358 | + | 0.456599i | ||||
\(577\) | 14.9553 | + | 10.8656i | 0.622596 | + | 0.452342i | 0.853827 | − | 0.520557i | \(-0.174276\pi\) |
−0.231232 | + | 0.972899i | \(0.574276\pi\) | |||||||
\(578\) | −29.3337 | − | 21.3122i | −1.22012 | − | 0.886471i | ||||
\(579\) | −8.88490 | + | 27.3449i | −0.369244 | + | 1.13642i | ||||
\(580\) | −1.77711 | − | 5.46937i | −0.0737903 | − | 0.227103i | ||||
\(581\) | 15.5687 | − | 11.3113i | 0.645899 | − | 0.469273i | ||||
\(582\) | −5.18561 | −0.214950 | ||||||||
\(583\) | 0 | 0 | ||||||||
\(584\) | −26.9973 | −1.11716 | ||||||||
\(585\) | 6.55754 | − | 4.76434i | 0.271121 | − | 0.196981i | ||||
\(586\) | 11.6193 | + | 35.7605i | 0.479989 | + | 1.47725i | ||||
\(587\) | −0.829331 | + | 2.55242i | −0.0342302 | + | 0.105350i | −0.966712 | − | 0.255868i | \(-0.917639\pi\) |
0.932482 | + | 0.361217i | \(0.117639\pi\) | |||||||
\(588\) | 0.611624 | + | 0.444371i | 0.0252229 | + | 0.0183255i | ||||
\(589\) | 5.46668 | + | 3.97177i | 0.225251 | + | 0.163654i | ||||
\(590\) | 3.14957 | − | 9.69338i | 0.129666 | − | 0.399070i | ||||
\(591\) | −3.81540 | − | 11.7426i | −0.156944 | − | 0.483025i | ||||
\(592\) | 5.54839 | − | 4.03114i | 0.228037 | − | 0.165679i | ||||
\(593\) | 28.7251 | 1.17960 | 0.589800 | − | 0.807550i | \(-0.299207\pi\) | ||||
0.589800 | + | 0.807550i | \(0.299207\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −4.67975 | −0.191851 | ||||||||
\(596\) | −72.5097 | + | 52.6814i | −2.97011 | + | 2.15791i | ||||
\(597\) | −6.82676 | − | 21.0106i | −0.279401 | − | 0.859907i | ||||
\(598\) | −28.3929 | + | 87.3844i | −1.16107 | + | 3.57342i | ||||
\(599\) | 27.6528 | + | 20.0909i | 1.12986 | + | 0.820892i | 0.985675 | − | 0.168658i | \(-0.0539434\pi\) |
0.144187 | + | 0.989551i | \(0.453943\pi\) | |||||||
\(600\) | 8.20401 | + | 5.96056i | 0.334927 | + | 0.243339i | ||||
\(601\) | 10.0299 | − | 30.8687i | 0.409126 | − | 1.25916i | −0.508274 | − | 0.861196i | \(-0.669716\pi\) |
0.917400 | − | 0.397966i | \(-0.130284\pi\) | |||||||
\(602\) | 8.08675 | + | 24.8885i | 0.329591 | + | 1.01438i | ||||
\(603\) | 4.54197 | − | 3.29994i | 0.184964 | − | 0.134384i | ||||
\(604\) | −84.1276 | −3.42310 | ||||||||
\(605\) | 0 | 0 | ||||||||
\(606\) | −11.9973 | −0.487359 | ||||||||
\(607\) | 4.32397 | − | 3.14155i | 0.175505 | − | 0.127512i | −0.496565 | − | 0.868000i | \(-0.665406\pi\) |
0.672070 | + | 0.740488i | \(0.265406\pi\) | |||||||
\(608\) | −5.18590 | − | 15.9606i | −0.210316 | − | 0.647286i | ||||
\(609\) | −1.27907 | + | 3.93658i | −0.0518306 | + | 0.159518i | ||||
\(610\) | −6.81928 | − | 4.95450i | −0.276104 | − | 0.200602i | ||||
\(611\) | −36.2522 | − | 26.3387i | −1.46661 | − | 1.06555i | ||||
\(612\) | 3.24323 | − | 9.98164i | 0.131100 | − | 0.403484i | ||||
\(613\) | 9.33404 | + | 28.7272i | 0.376998 | + | 1.16028i | 0.942121 | + | 0.335274i | \(0.108829\pi\) |
−0.565122 | + | 0.825007i | \(0.691171\pi\) | |||||||
\(614\) | −21.8539 | + | 15.8778i | −0.881953 | + | 0.640777i | ||||
\(615\) | −7.36831 | −0.297119 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 0.973697 | 0.0391996 | 0.0195998 | − | 0.999808i | \(-0.493761\pi\) | ||||
0.0195998 | + | 0.999808i | \(0.493761\pi\) | |||||||
\(618\) | −14.1461 | + | 10.2778i | −0.569041 | + | 0.413432i | ||||
\(619\) | 0.562897 | + | 1.73242i | 0.0226247 | + | 0.0696318i | 0.961731 | − | 0.273994i | \(-0.0883448\pi\) |
−0.939107 | + | 0.343626i | \(0.888345\pi\) | |||||||
\(620\) | −6.88921 | + | 21.2028i | −0.276677 | + | 0.851525i | ||||
\(621\) | 23.7224 | + | 17.2353i | 0.951948 | + | 0.691630i | ||||
\(622\) | −40.6547 | − | 29.5373i | −1.63010 | − | 1.18434i | ||||
\(623\) | 2.79625 | − | 8.60598i | 0.112029 | − | 0.344791i | ||||
\(624\) | 28.1060 | + | 86.5013i | 1.12514 | + | 3.46282i | ||||
\(625\) | −0.809017 | + | 0.587785i | −0.0323607 | + | 0.0235114i | ||||
\(626\) | 39.2884 | 1.57028 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −102.073 | −4.07316 | ||||||||
\(629\) | −0.980836 | + | 0.712619i | −0.0391085 | + | 0.0284140i | ||||
\(630\) | 2.56297 | + | 7.88801i | 0.102111 | + | 0.314266i | ||||
\(631\) | −9.99882 | + | 30.7732i | −0.398047 | + | 1.22506i | 0.528517 | + | 0.848923i | \(0.322748\pi\) |
−0.926563 | + | 0.376139i | \(0.877252\pi\) | |||||||
\(632\) | 92.6820 | + | 67.3374i | 3.68669 | + | 2.67854i | ||||
\(633\) | 16.0795 | + | 11.6824i | 0.639102 | + | 0.464335i | ||||
\(634\) | −9.87437 | + | 30.3902i | −0.392161 | + | 1.20695i | ||||
\(635\) | 3.80489 | + | 11.7102i | 0.150992 | + | 0.464707i | ||||
\(636\) | −75.6821 | + | 54.9863i | −3.00099 | + | 2.18035i | ||||
\(637\) | −0.777208 | −0.0307941 | ||||||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −4.67975 | −0.185128 | ||||||||
\(640\) | 1.96085 | − | 1.42464i | 0.0775096 | − | 0.0563140i | ||||
\(641\) | −4.25484 | − | 13.0951i | −0.168056 | − | 0.517224i | 0.831192 | − | 0.555985i | \(-0.187659\pi\) |
−0.999249 | + | 0.0387611i | \(0.987659\pi\) | |||||||
\(642\) | 7.67553 | − | 23.6229i | 0.302929 | − | 0.932320i | ||||
\(643\) | −26.0188 | − | 18.9038i | −1.02608 | − | 0.745493i | −0.0585622 | − | 0.998284i | \(-0.518652\pi\) |
−0.967521 | + | 0.252791i | \(0.918652\pi\) | |||||||
\(644\) | −53.9648 | − | 39.2077i | −2.12651 | − | 1.54500i | ||||
\(645\) | −1.57387 | + | 4.84386i | −0.0619709 | + | 0.190727i | ||||
\(646\) | 2.14093 | + | 6.58911i | 0.0842339 | + | 0.259245i | ||||
\(647\) | −15.7607 | + | 11.4508i | −0.619617 | + | 0.450178i | −0.852788 | − | 0.522257i | \(-0.825090\pi\) |
0.233170 | + | 0.972436i | \(0.425090\pi\) | |||||||
\(648\) | 29.7774 | 1.16977 | ||||||||
\(649\) | 0 | 0 | ||||||||
\(650\) | −17.6535 | −0.692425 | ||||||||
\(651\) | 12.9815 | − | 9.43165i | 0.508787 | − | 0.369655i | ||||
\(652\) | 14.2719 | + | 43.9243i | 0.558929 | + | 1.72021i | ||||
\(653\) | 0.240928 | − | 0.741499i | 0.00942823 | − | 0.0290171i | −0.946232 | − | 0.323490i | \(-0.895144\pi\) |
0.955660 | + | 0.294472i | \(0.0951439\pi\) | |||||||
\(654\) | 30.2732 | + | 21.9948i | 1.18378 | + | 0.860064i | ||||
\(655\) | 15.7841 | + | 11.4678i | 0.616734 | + | 0.448084i | ||||
\(656\) | −17.1452 | + | 52.7675i | −0.669408 | + | 2.06023i | ||||
\(657\) | −1.32797 | − | 4.08708i | −0.0518092 | − | 0.159452i | ||||
\(658\) | 37.0947 | − | 26.9508i | 1.44610 | − | 1.05065i | ||||
\(659\) | 28.1929 | 1.09824 | 0.549119 | − | 0.835744i | \(-0.314963\pi\) | ||||
0.549119 | + | 0.835744i | \(0.314963\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 1.70340 | 0.0662547 | 0.0331274 | − | 0.999451i | \(-0.489453\pi\) | ||||
0.0331274 | + | 0.999451i | \(0.489453\pi\) | |||||||
\(662\) | −33.6067 | + | 24.4167i | −1.30616 | + | 0.948982i | ||||
\(663\) | −4.96854 | − | 15.2916i | −0.192962 | − | 0.593876i | ||||
\(664\) | 17.1532 | − | 52.7922i | 0.665674 | − | 2.04873i | ||||
\(665\) | −3.14261 | − | 2.28324i | −0.121865 | − | 0.0885403i | ||||
\(666\) | 1.73834 | + | 1.26298i | 0.0673593 | + | 0.0489394i | ||||
\(667\) | −1.89362 | + | 5.82796i | −0.0733213 | + | 0.225660i | ||||
\(668\) | 14.2622 | + | 43.8947i | 0.551823 | + | 1.69834i | ||||
\(669\) | −25.3682 | + | 18.4311i | −0.980792 | + | 0.712587i | ||||
\(670\) | −12.2274 | −0.472385 | ||||||||
\(671\) | 0 | 0 | ||||||||
\(672\) | −39.8515 | −1.53731 | ||||||||
\(673\) | 8.90278 | − | 6.46825i | 0.343177 | − | 0.249333i | −0.402824 | − | 0.915277i | \(-0.631971\pi\) |
0.746001 | + | 0.665945i | \(0.231971\pi\) | |||||||
\(674\) | 5.45522 | + | 16.7894i | 0.210127 | + | 0.646705i | ||||
\(675\) | −1.74095 | + | 5.35808i | −0.0670091 | + | 0.206233i | ||||
\(676\) | −127.510 | − | 92.6413i | −4.90422 | − | 3.56313i | ||||
\(677\) | −17.3055 | − | 12.5732i | −0.665105 | − | 0.483227i | 0.203278 | − | 0.979121i | \(-0.434840\pi\) |
−0.868383 | + | 0.495894i | \(0.834840\pi\) | |||||||
\(678\) | 14.9584 | − | 46.0371i | 0.574473 | − | 1.76805i | ||||
\(679\) | 1.19596 | + | 3.68079i | 0.0458968 | + | 0.141256i | ||||
\(680\) | −10.9207 | + | 7.93432i | −0.418788 | + | 0.304267i | ||||
\(681\) | 3.51561 | 0.134718 | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 34.0959 | 1.30464 | 0.652321 | − | 0.757942i | \(-0.273795\pi\) | ||||
0.652321 | + | 0.757942i | \(0.273795\pi\) | |||||||
\(684\) | 7.04796 | − | 5.12064i | 0.269486 | − | 0.195793i | ||||
\(685\) | −2.64649 | − | 8.14507i | −0.101117 | − | 0.311207i | ||||
\(686\) | 15.1377 | − | 46.5891i | 0.577960 | − | 1.77878i | ||||
\(687\) | 23.8873 | + | 17.3551i | 0.911358 | + | 0.662140i | ||||
\(688\) | 31.0267 | + | 22.5422i | 1.18288 | + | 0.859414i | ||||
\(689\) | 29.7186 | − | 91.4644i | 1.13219 | − | 3.48452i | ||||
\(690\) | −5.65433 | − | 17.4022i | −0.215257 | − | 0.662492i | ||||
\(691\) | −37.4736 | + | 27.2261i | −1.42556 | + | 1.03573i | −0.434739 | + | 0.900556i | \(0.643160\pi\) |
−0.990822 | + | 0.135175i | \(0.956840\pi\) | |||||||
\(692\) | 44.3651 | 1.68651 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 87.9077 | 3.33693 | ||||||||
\(695\) | 1.60480 | − | 1.16595i | 0.0608734 | − | 0.0442271i | ||||
\(696\) | 3.68946 | + | 11.3550i | 0.139849 | + | 0.430410i | ||||
\(697\) | 3.03091 | − | 9.32818i | 0.114804 | − | 0.353330i | ||||
\(698\) | −48.3433 | − | 35.1235i | −1.82982 | − | 1.32944i | ||||
\(699\) | 5.79359 | + | 4.20929i | 0.219134 | + | 0.159210i | ||||
\(700\) | 3.96038 | − | 12.1888i | 0.149688 | − | 0.460693i | ||||
\(701\) | −13.4004 | − | 41.2423i | −0.506127 | − | 1.55770i | −0.798868 | − | 0.601507i | \(-0.794567\pi\) |
0.292741 | − | 0.956192i | \(-0.405433\pi\) | |||||||
\(702\) | −80.4619 | + | 58.4590i | −3.03684 | + | 2.20639i | ||||
\(703\) | −1.00635 | −0.0379552 | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 8.92375 | 0.336088 | ||||||||
\(706\) | −32.8209 | + | 23.8458i | −1.23523 | + | 0.897447i | ||||
\(707\) | 2.76696 | + | 8.51582i | 0.104062 | + | 0.320271i | ||||
\(708\) | −7.85596 | + | 24.1782i | −0.295245 | + | 0.908671i | ||||
\(709\) | −15.5157 | − | 11.2728i | −0.582703 | − | 0.423359i | 0.256994 | − | 0.966413i | \(-0.417268\pi\) |
−0.839698 | + | 0.543054i | \(0.817268\pi\) | |||||||
\(710\) | 8.24568 | + | 5.99084i | 0.309455 | + | 0.224832i | ||||
\(711\) | −5.63515 | + | 17.3432i | −0.211335 | + | 0.650422i | ||||
\(712\) | −8.06574 | − | 24.8238i | −0.302276 | − | 0.930311i | ||||
\(713\) | 19.2187 | − | 13.9632i | 0.719746 | − | 0.522926i | ||||
\(714\) | 16.4522 | 0.615708 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | −67.2543 | −2.51341 | ||||||||
\(717\) | −13.6386 | + | 9.90906i | −0.509345 | + | 0.370061i | ||||
\(718\) | 7.77243 | + | 23.9211i | 0.290065 | + | 0.892727i | ||||
\(719\) | −9.97938 | + | 30.7134i | −0.372168 | + | 1.14542i | 0.573202 | + | 0.819414i | \(0.305701\pi\) |
−0.945369 | + | 0.326001i | \(0.894299\pi\) | |||||||
\(720\) | 9.83342 | + | 7.14440i | 0.366470 | + | 0.266256i | ||||
\(721\) | 10.5578 | + | 7.67068i | 0.393192 | + | 0.285671i | ||||
\(722\) | 13.6282 | − | 41.9434i | 0.507191 | − | 1.56097i | ||||
\(723\) | 1.77495 | + | 5.46275i | 0.0660113 | + | 0.203162i | ||||
\(724\) | 94.2787 | − | 68.4975i | 3.50384 | − | 2.54569i | ||||
\(725\) | −1.17737 | −0.0437264 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −40.8622 | −1.51550 | −0.757748 | − | 0.652548i | \(-0.773700\pi\) | ||||
−0.757748 | + | 0.652548i | \(0.773700\pi\) | |||||||
\(728\) | 108.091 | − | 78.5330i | 4.00613 | − | 2.91063i | ||||
\(729\) | 8.46268 | + | 26.0455i | 0.313433 | + | 0.964646i | ||||
\(730\) | −2.89225 | + | 8.90142i | −0.107047 | + | 0.329456i | ||||
\(731\) | −5.48486 | − | 3.98498i | −0.202865 | − | 0.147390i | ||||
\(732\) | 17.0093 | + | 12.3580i | 0.628682 | + | 0.456764i | ||||
\(733\) | 3.06673 | − | 9.43842i | 0.113272 | − | 0.348616i | −0.878311 | − | 0.478091i | \(-0.841329\pi\) |
0.991583 | + | 0.129475i | \(0.0413291\pi\) | |||||||
\(734\) | 8.78798 | + | 27.0466i | 0.324370 | + | 0.998309i | ||||
\(735\) | 0.125218 | − | 0.0909760i | 0.00461873 | − | 0.00335570i | ||||
\(736\) | −58.9987 | −2.17472 | ||||||||
\(737\) | 0 | 0 | ||||||||
\(738\) | −17.3832 | −0.639883 | ||||||||
\(739\) | 26.9989 | − | 19.6159i | 0.993172 | − | 0.721582i | 0.0325588 | − | 0.999470i | \(-0.489634\pi\) |
0.960614 | + | 0.277888i | \(0.0896344\pi\) | |||||||
\(740\) | −1.02601 | − | 3.15774i | −0.0377170 | − | 0.116081i | ||||
\(741\) | 4.12419 | − | 12.6930i | 0.151506 | − | 0.466287i | ||||
\(742\) | 79.6125 | + | 57.8418i | 2.92267 | + | 2.12344i | ||||
\(743\) | 3.08005 | + | 2.23779i | 0.112996 | + | 0.0820964i | 0.642848 | − | 0.765994i | \(-0.277753\pi\) |
−0.529852 | + | 0.848090i | \(0.677753\pi\) | |||||||
\(744\) | 14.3027 | − | 44.0193i | 0.524364 | − | 1.61383i | ||||
\(745\) | 5.67025 | + | 17.4512i | 0.207742 | + | 0.639363i | ||||
\(746\) | 21.2722 | − | 15.4552i | 0.778832 | − | 0.565855i | ||||
\(747\) | 8.83587 | 0.323287 | ||||||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −18.5379 | −0.677361 | ||||||||
\(750\) | 2.84419 | − | 2.06642i | 0.103855 | − | 0.0754551i | ||||
\(751\) | 6.95578 | + | 21.4077i | 0.253820 | + | 0.781177i | 0.994060 | + | 0.108835i | \(0.0347119\pi\) |
−0.740240 | + | 0.672343i | \(0.765288\pi\) | |||||||
\(752\) | 20.7645 | − | 63.9066i | 0.757204 | − | 2.33043i | ||||
\(753\) | −10.9080 | − | 7.92514i | −0.397511 | − | 0.288808i | ||||
\(754\) | −16.8151 | − | 12.2169i | −0.612370 | − | 0.444913i | ||||
\(755\) | −5.32234 | + | 16.3805i | −0.193700 | + | 0.596146i | ||||
\(756\) | −22.3121 | − | 68.6695i | −0.811482 | − | 2.49748i | ||||
\(757\) | 27.2580 | − | 19.8041i | 0.990708 | − | 0.719792i | 0.0306320 | − | 0.999531i | \(-0.490248\pi\) |
0.960076 | + | 0.279739i | \(0.0902480\pi\) | |||||||
\(758\) | −10.9985 | −0.399483 | ||||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −11.2047 | −0.406438 | ||||||||
\(761\) | 15.1868 | − | 11.0339i | 0.550521 | − | 0.399977i | −0.277457 | − | 0.960738i | \(-0.589491\pi\) |
0.827977 | + | 0.560761i | \(0.189491\pi\) | |||||||
\(762\) | −13.3765 | − | 41.1686i | −0.484580 | − | 1.49138i | ||||
\(763\) | 8.63015 | − | 26.5609i | 0.312433 | − | 0.961568i | ||||
\(764\) | −63.4747 | − | 46.1171i | −2.29643 | − | 1.66846i | ||||
\(765\) | −1.73834 | − | 1.26298i | −0.0628498 | − | 0.0456631i | ||||
\(766\) | −15.6032 | + | 48.0217i | −0.563766 | + | 1.73509i | ||||
\(767\) | −8.07625 | − | 24.8561i | −0.291616 | − | 0.897503i | ||||
\(768\) | 13.8413 | − | 10.0563i | 0.499457 | − | 0.362876i | ||||
\(769\) | 21.5618 | 0.777539 | 0.388770 | − | 0.921335i | \(-0.372900\pi\) | ||||
0.388770 | + | 0.921335i | \(0.372900\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −4.24134 | −0.152748 | ||||||||
\(772\) | 84.7973 | − | 61.6088i | 3.05192 | − | 2.21735i | ||||
\(773\) | −7.22579 | − | 22.2387i | −0.259894 | − | 0.799871i | −0.992826 | − | 0.119569i | \(-0.961849\pi\) |
0.732932 | − | 0.680302i | \(-0.238151\pi\) | |||||||
\(774\) | −3.71303 | + | 11.4275i | −0.133462 | + | 0.410754i | ||||
\(775\) | 3.69255 | + | 2.68279i | 0.132640 | + | 0.0963687i | ||||
\(776\) | 9.03151 | + | 6.56178i | 0.324212 | + | 0.235554i | ||||
\(777\) | −0.738473 | + | 2.27279i | −0.0264926 | + | 0.0815357i | ||||
\(778\) | 23.0451 | + | 70.9256i | 0.826208 | + | 2.54281i | ||||
\(779\) | 6.58656 | − | 4.78541i | 0.235988 | − | 0.171455i | ||||
\(780\) | 44.0329 | 1.57663 | ||||||||
\(781\) | 0 | 0 | ||||||||
\(782\) | 24.3569 | 0.870999 | ||||||||
\(783\) | −5.36627 | + | 3.89883i | −0.191775 | + | 0.139333i | ||||
\(784\) | −0.360150 | − | 1.10843i | −0.0128625 | − | 0.0395867i | ||||
\(785\) | −6.45766 | + | 19.8746i | −0.230484 | + | 0.709357i | ||||
\(786\) | −55.4906 | − | 40.3163i | −1.97928 | − | 1.43803i | ||||
\(787\) | 20.3022 | + | 14.7504i | 0.723696 | + | 0.525796i | 0.887563 | − | 0.460686i | \(-0.152397\pi\) |
−0.163867 | + | 0.986482i | \(0.552397\pi\) | |||||||
\(788\) | −13.9089 | + | 42.8073i | −0.495485 | + | 1.52495i | ||||
\(789\) | −9.26139 | − | 28.5036i | −0.329714 | − | 1.01476i | ||||
\(790\) | 32.1312 | − | 23.3447i | 1.14318 | − | 0.830567i | ||||
\(791\) | −36.1274 | −1.28454 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −21.6142 | −0.767542 | ||||||||
\(794\) | −47.0787 | + | 34.2046i | −1.67076 | + | 1.21388i | ||||
\(795\) | 5.91833 | + | 18.2148i | 0.209902 | + | 0.646011i | ||||
\(796\) | −24.8868 | + | 76.5936i | −0.882088 | + | 2.71479i | ||||
\(797\) | 9.76990 | + | 7.09824i | 0.346067 | + | 0.251433i | 0.747217 | − | 0.664580i | \(-0.231389\pi\) |
−0.401150 | + | 0.916012i | \(0.631389\pi\) | |||||||
\(798\) | 11.0482 | + | 8.02699i | 0.391102 | + | 0.284152i | ||||
\(799\) | −3.67073 | + | 11.2973i | −0.129861 | + | 0.399671i | ||||
\(800\) | −3.50289 | − | 10.7808i | −0.123846 | − | 0.381158i | ||||
\(801\) | 3.36129 | − | 2.44212i | 0.118765 | − | 0.0862880i | ||||
\(802\) | −57.9233 | −2.04534 | ||||||||
\(803\) | 0 | 0 | ||||||||
\(804\) | 30.4987 | 1.07561 | ||||||||
\(805\) | −11.0482 | + | 8.02699i | −0.389398 | + | 0.282914i | ||||
\(806\) | 24.8989 | + | 76.6309i | 0.877026 | + | 2.69921i | ||||
\(807\) | 6.61383 | − | 20.3553i | 0.232818 | − | 0.716539i | ||||
\(808\) | 20.8952 | + | 15.1812i | 0.735090 | + | 0.534074i | ||||
\(809\) | 7.37170 | + | 5.35585i | 0.259175 | + | 0.188302i | 0.709783 | − | 0.704420i | \(-0.248793\pi\) |
−0.450608 | + | 0.892722i | \(0.648793\pi\) | |||||||
\(810\) | 3.19007 | − | 9.81803i | 0.112088 | − | 0.344971i | ||||
\(811\) | −0.923957 | − | 2.84365i | −0.0324445 | − | 0.0998540i | 0.933523 | − | 0.358518i | \(-0.116718\pi\) |
−0.965967 | + | 0.258664i | \(0.916718\pi\) | |||||||
\(812\) | 12.2074 | − | 8.86922i | 0.428397 | − | 0.311249i | ||||
\(813\) | 20.9556 | 0.734946 | ||||||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 9.45539 | 0.331208 | ||||||||
\(816\) | 19.5060 | − | 14.1719i | 0.682845 | − | 0.496116i | ||||
\(817\) | −1.73900 | − | 5.35210i | −0.0608400 | − | 0.187246i | ||||
\(818\) | 20.0037 | − | 61.5651i | 0.699413 | − | 2.15257i | ||||
\(819\) | 17.2059 | + | 12.5008i | 0.601222 | + | 0.436814i | ||||
\(820\) | 21.7310 | + | 15.7885i | 0.758879 | + | 0.551358i | ||||
\(821\) | −10.8989 | + | 33.5434i | −0.380375 | + | 1.17067i | 0.559405 | + | 0.828894i | \(0.311030\pi\) |
−0.939780 | + | 0.341779i | \(0.888970\pi\) | |||||||
\(822\) | 9.30404 | + | 28.6349i | 0.324516 | + | 0.998757i | ||||
\(823\) | −12.5863 | + | 9.14451i | −0.438732 | + | 0.318757i | −0.785131 | − | 0.619330i | \(-0.787404\pi\) |
0.346399 | + | 0.938087i | \(0.387404\pi\) | |||||||
\(824\) | 37.6429 | 1.31135 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 26.7427 | 0.930496 | ||||||||
\(827\) | −8.51840 | + | 6.18898i | −0.296214 | + | 0.215212i | −0.725958 | − | 0.687739i | \(-0.758604\pi\) |
0.429745 | + | 0.902950i | \(0.358604\pi\) | |||||||
\(828\) | −9.46431 | − | 29.1281i | −0.328907 | − | 1.01227i | ||||
\(829\) | 7.91852 | − | 24.3707i | 0.275022 | − | 0.846430i | −0.714192 | − | 0.699950i | \(-0.753206\pi\) |
0.989214 | − | 0.146480i | \(-0.0467944\pi\) | |||||||
\(830\) | −15.5687 | − | 11.3113i | −0.540398 | − | 0.392622i | ||||
\(831\) | 25.8894 | + | 18.8097i | 0.898093 | + | 0.652503i | ||||
\(832\) | 19.8850 | − | 61.1999i | 0.689390 | − | 2.12172i | ||||
\(833\) | 0.0636668 | + | 0.195946i | 0.00220592 | + | 0.00678913i | ||||
\(834\) | −5.64184 | + | 4.09904i | −0.195361 | + | 0.141938i | ||||
\(835\) | 9.44902 | 0.326997 | ||||||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 25.7141 | 0.888809 | ||||||||
\(838\) | 37.4734 | − | 27.2260i | 1.29450 | − | 0.940507i | ||||
\(839\) | 8.07332 | + | 24.8471i | 0.278722 | + | 0.857818i | 0.988211 | + | 0.153101i | \(0.0489261\pi\) |
−0.709488 | + | 0.704717i | \(0.751074\pi\) | |||||||
\(840\) | −8.22218 | + | 25.3053i | −0.283692 | + | 0.873114i | ||||
\(841\) | 22.3400 | + | 16.2310i | 0.770346 | + | 0.559689i | ||||
\(842\) | 3.23710 | + | 2.35189i | 0.111558 | + | 0.0810516i | ||||
\(843\) | −5.06951 | + | 15.6023i | −0.174603 | + | 0.537373i | ||||
\(844\) | −22.3898 | − | 68.9087i | −0.770689 | − | 2.37194i | ||||
\(845\) | −26.1051 | + | 18.9664i | −0.898042 | + | 0.652465i | ||||
\(846\) | 21.0527 | 0.723806 | ||||||||
\(847\) | 0 | 0 | ||||||||
\(848\) | 144.215 | 4.95235 | ||||||||
\(849\) | −22.6050 | + | 16.4235i | −0.775801 | + | 0.563652i | ||||
\(850\) | 1.44612 | + | 4.45071i | 0.0496016 | + | 0.152658i | ||||
\(851\) | −1.09328 | + | 3.36478i | −0.0374772 | + | 0.115343i | ||||
\(852\) | −20.5672 | − | 14.9429i | −0.704620 | − | 0.511936i | ||||
\(853\) | 2.22876 | + | 1.61929i | 0.0763112 | + | 0.0554433i | 0.625287 | − | 0.780395i | \(-0.284982\pi\) |
−0.548976 | + | 0.835838i | \(0.684982\pi\) | |||||||
\(854\) | 6.83437 | − | 21.0340i | 0.233867 | − | 0.719770i | ||||
\(855\) | −0.551150 | − | 1.69626i | −0.0188489 | − | 0.0580110i | ||||
\(856\) | −43.2601 | + | 31.4303i | −1.47860 | + | 1.07426i | ||||
\(857\) | −20.3164 | −0.693997 | −0.346998 | − | 0.937866i | \(-0.612799\pi\) | ||||
−0.346998 | + | 0.937866i | \(0.612799\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 22.6249 | 0.771951 | 0.385975 | − | 0.922509i | \(-0.373865\pi\) | ||||
0.385975 | + | 0.922509i | \(0.373865\pi\) | |||||||
\(860\) | 15.0209 | − | 10.9133i | 0.512209 | − | 0.372142i | ||||
\(861\) | −5.97429 | − | 18.3870i | −0.203603 | − | 0.626626i | ||||
\(862\) | −13.5805 | + | 41.7965i | −0.462553 | + | 1.42359i | ||||
\(863\) | −34.8758 | − | 25.3387i | −1.18719 | − | 0.862541i | −0.194222 | − | 0.980958i | \(-0.562218\pi\) |
−0.992964 | + | 0.118417i | \(0.962218\pi\) | |||||||
\(864\) | −51.6660 | − | 37.5375i | −1.75771 | − | 1.27705i | ||||
\(865\) | 2.80676 | − | 8.63831i | 0.0954326 | − | 0.293711i | ||||
\(866\) | −6.06081 | − | 18.6533i | −0.205955 | − | 0.633863i | ||||
\(867\) | 14.9795 | − | 10.8832i | 0.508730 | − | 0.369614i | ||||
\(868\) | −58.4955 | −1.98547 | ||||||||
\(869\) | 0 | 0 | ||||||||
\(870\) | 4.13917 | 0.140331 | ||||||||
\(871\) | −25.3658 | + | 18.4293i | −0.859488 | + | 0.624455i | ||||
\(872\) | −24.8935 | − | 76.6144i | −0.843002 | − | 2.59449i | ||||
\(873\) | −0.549125 | + | 1.69003i | −0.0185851 | + | 0.0571989i | ||||
\(874\) | 16.3565 | + | 11.8837i | 0.553265 | + | 0.401971i | ||||
\(875\) | −2.12272 | − | 1.54225i | −0.0717611 | − | 0.0521375i | ||||
\(876\) | 7.21412 | − | 22.2028i | 0.243742 | − | 0.750162i | ||||
\(877\) | 5.15603 | + | 15.8686i | 0.174107 | + | 0.535845i | 0.999592 | − | 0.0285790i | \(-0.00909822\pi\) |
−0.825485 | + | 0.564424i | \(0.809098\pi\) | |||||||
\(878\) | −37.0596 | + | 26.9254i | −1.25070 | + | 0.908688i | ||||
\(879\) | −19.2011 | −0.647638 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −43.5116 | −1.46594 | −0.732972 | − | 0.680259i | \(-0.761867\pi\) | ||||
−0.732972 | + | 0.680259i | \(0.761867\pi\) | |||||||
\(882\) | 0.295411 | − | 0.214628i | 0.00994700 | − | 0.00722692i | ||||
\(883\) | −8.34334 | − | 25.6782i | −0.280776 | − | 0.864139i | −0.987633 | − | 0.156783i | \(-0.949888\pi\) |
0.706857 | − | 0.707356i | \(-0.250112\pi\) | |||||||
\(884\) | −18.1127 | + | 55.7450i | −0.609195 | + | 1.87491i | ||||
\(885\) | 4.21071 | + | 3.05926i | 0.141542 | + | 0.102836i | ||||
\(886\) | −31.1696 | − | 22.6460i | −1.04716 | − | 0.760808i | ||||
\(887\) | 7.08894 | − | 21.8175i | 0.238023 | − | 0.732560i | −0.758683 | − | 0.651460i | \(-0.774157\pi\) |
0.996706 | − | 0.0810998i | \(-0.0258432\pi\) | |||||||
\(888\) | 2.13011 | + | 6.55581i | 0.0714819 | + | 0.219999i | ||||
\(889\) | −26.1368 | + | 18.9895i | −0.876601 | + | 0.636888i | ||||
\(890\) | −9.04886 | −0.303318 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 114.311 | 3.82740 | ||||||||
\(893\) | −7.97696 | + | 5.79560i | −0.266939 | + | 0.193942i | ||||
\(894\) | −19.9344 | − | 61.3517i | −0.666705 | − | 2.05191i | ||||
\(895\) | −4.25484 | + | 13.0951i | −0.142224 | + | 0.437720i | ||||
\(896\) | 5.14495 | + | 3.73802i | 0.171881 | + | 0.124879i | ||||
\(897\) | −37.9590 | − | 27.5788i | −1.26741 | − | 0.920830i | ||||
\(898\) | 1.05996 | − | 3.26222i | 0.0353713 | − | 0.108862i | ||||
\(899\) | 1.66059 | + | 5.11078i | 0.0553838 | + | 0.170454i | ||||
\(900\) | 4.76065 | − | 3.45881i | 0.158688 | − | 0.115294i | ||||
\(901\) | −25.4941 | −0.849331 | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | −13.3635 | −0.444710 | ||||||||
\(904\) | −84.3068 | + | 61.2525i | −2.80400 | + | 2.03723i | ||||
\(905\) | −7.37258 | − | 22.6905i | −0.245073 | − | 0.754257i | ||||
\(906\) | 18.7113 | − | 57.5873i | 0.621640 | − | 1.91321i | ||||
\(907\) | −33.7633 | − | 24.5305i | −1.12109 | − | 0.814521i | −0.136718 | − | 0.990610i | \(-0.543655\pi\) |
−0.984374 | + | 0.176089i | \(0.943655\pi\) | |||||||
\(908\) | −10.3684 | − | 7.53309i | −0.344088 | − | 0.249994i | ||||
\(909\) | −1.27045 | + | 3.91004i | −0.0421381 | + | 0.129688i | ||||
\(910\) | −14.3136 | − | 44.0526i | −0.474490 | − | 1.46033i | ||||
\(911\) | 31.3308 | − | 22.7632i | 1.03804 | − | 0.754178i | 0.0681358 | − | 0.997676i | \(-0.478295\pi\) |
0.969901 | + | 0.243498i | \(0.0782949\pi\) | |||||||
\(912\) | 20.0134 | 0.662708 | ||||||||
\(913\) | 0 | 0 | ||||||||
\(914\) | 26.7427 | 0.884569 | ||||||||
\(915\) | 3.48231 | − | 2.53005i | 0.115122 | − | 0.0836408i | ||||
\(916\) | −33.2618 | − | 102.369i | −1.09900 | − | 3.38238i | ||||
\(917\) | −15.8190 | + | 48.6859i | −0.522390 | + | 1.60775i | ||||
\(918\) | 21.3296 | + | 15.4969i | 0.703983 | + | 0.511474i | ||||
\(919\) | −2.30729 | − | 1.67634i | −0.0761103 | − | 0.0552974i | 0.549079 | − | 0.835770i | \(-0.314978\pi\) |
−0.625190 | + | 0.780473i | \(0.714978\pi\) | |||||||
\(920\) | −12.1726 | + | 37.4635i | −0.401320 | + | 1.23513i | ||||
\(921\) | −4.26269 | − | 13.1192i | −0.140460 | − | 0.432293i | ||||
\(922\) | 8.74944 | − | 6.35684i | 0.288147 | − | 0.209351i | ||||
\(923\) | 26.1353 | 0.860253 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −0.679754 | −0.0223502 | ||||||||
\(926\) | 69.5453 | − | 50.5276i | 2.28540 | − | 1.66044i | ||||
\(927\) | 1.85162 | + | 5.69869i | 0.0608151 | + | 0.187170i | ||||
\(928\) | 4.12419 | − | 12.6930i | 0.135383 | − | 0.416667i | ||||
\(929\) | 10.7020 | + | 7.77545i | 0.351121 | + | 0.255104i | 0.749339 | − | 0.662187i | \(-0.230371\pi\) |
−0.398218 | + | 0.917291i | \(0.630371\pi\) | |||||||
\(930\) | −12.9815 | − | 9.43165i | −0.425682 | − | 0.309276i | ||||
\(931\) | −0.0528474 | + | 0.162647i | −0.00173200 | + | 0.00533055i | ||||
\(932\) | −8.06727 | − | 24.8285i | −0.264252 | − | 0.813284i | ||||
\(933\) | 20.7606 | − | 15.0834i | 0.679671 | − | 0.493810i | ||||
\(934\) | −99.4810 | −3.25512 | ||||||||
\(935\) | 0 | 0 | ||||||||
\(936\) | 61.3462 | 2.00516 | ||||||||
\(937\) | 1.35959 | − | 0.987799i | 0.0444158 | − | 0.0322700i | −0.565356 | − | 0.824847i | \(-0.691261\pi\) |
0.609772 | + | 0.792577i | \(0.291261\pi\) | |||||||
\(938\) | −9.91405 | − | 30.5123i | −0.323705 | − | 0.996262i | ||||
\(939\) | −6.19978 | + | 19.0810i | −0.202322 | + | 0.622684i | ||||
\(940\) | −26.3183 | − | 19.1214i | −0.858410 | − | 0.623671i | ||||
\(941\) | −11.8805 | − | 8.63170i | −0.387294 | − | 0.281385i | 0.377052 | − | 0.926192i | \(-0.376938\pi\) |
−0.764346 | + | 0.644807i | \(0.776938\pi\) | |||||||
\(942\) | 22.7026 | − | 69.8715i | 0.739692 | − | 2.27654i | ||||
\(943\) | −8.84471 | − | 27.2212i | −0.288024 | − | 0.886445i | ||||
\(944\) | 31.7065 | − | 23.0361i | 1.03196 | − | 0.749762i | ||||
\(945\) | −14.7822 | −0.480865 | ||||||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 17.6535 | 0.573660 | 0.286830 | − | 0.957981i | \(-0.407399\pi\) | ||||
0.286830 | + | 0.957981i | \(0.407399\pi\) | |||||||
\(948\) | −80.1447 | + | 58.2286i | −2.60298 | + | 1.89118i | ||||
\(949\) | 7.41641 | + | 22.8254i | 0.240747 | + | 0.740942i | ||||
\(950\) | −1.20037 | + | 3.69436i | −0.0389452 | + | 0.119861i | ||||
\(951\) | −13.2012 | − | 9.59124i | −0.428079 | − | 0.311017i | ||||
\(952\) | −28.6539 | − | 20.8183i | −0.928680 | − | 0.674725i | ||||
\(953\) | −6.72663 | + | 20.7025i | −0.217897 | + | 0.670618i | 0.781038 | + | 0.624483i | \(0.214690\pi\) |
−0.998935 | + | 0.0461349i | \(0.985310\pi\) | |||||||
\(954\) | 13.9624 | + | 42.9718i | 0.452049 | + | 1.39126i | ||||
\(955\) | −12.9952 | + | 9.44154i | −0.420514 | + | 0.305521i | ||||
\(956\) | 61.4564 | 1.98764 | ||||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −16.9500 | −0.547631 | ||||||||
\(959\) | 18.1795 | − | 13.2082i | 0.587047 | − | 0.426514i | ||||
\(960\) | 3.96002 | + | 12.1877i | 0.127809 | + | 0.393356i | ||||
\(961\) | −3.14200 | + | 9.67009i | −0.101355 | + | 0.311938i | ||||
\(962\) | −9.70820 | − | 7.05342i | −0.313005 | − | 0.227411i | ||||
\(963\) | −6.88609 | − | 5.00304i | −0.221901 | − | 0.161221i | ||||
\(964\) | 6.47055 | − | 19.9143i | 0.208402 | − | 0.641396i | ||||
\(965\) | −6.63113 | − | 20.4085i | −0.213464 | − | 0.656974i | ||||
\(966\) | 38.8412 | − | 28.2197i | 1.24969 | − | 0.907956i | ||||
\(967\) | 14.0684 | 0.452409 | 0.226204 | − | 0.974080i | \(-0.427368\pi\) | ||||
0.226204 | + | 0.974080i | \(0.427368\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | −3.53793 | −0.113655 | ||||||||
\(970\) | 3.13107 | − | 2.27485i | 0.100533 | − | 0.0730411i | ||||
\(971\) | −4.55255 | − | 14.0113i | −0.146098 | − | 0.449644i | 0.851052 | − | 0.525081i | \(-0.175965\pi\) |
−0.997151 | + | 0.0754367i | \(0.975965\pi\) | |||||||
\(972\) | 17.5539 | − | 54.0253i | 0.563041 | − | 1.73286i | ||||
\(973\) | 4.21071 | + | 3.05926i | 0.134989 | + | 0.0980755i | ||||
\(974\) | 92.2571 | + | 67.0287i | 2.95611 | + | 2.14774i | ||||
\(975\) | 2.78574 | − | 8.57364i | 0.0892152 | − | 0.274576i | ||||
\(976\) | −10.0158 | − | 30.8254i | −0.320597 | − | 0.986697i | ||||
\(977\) | −10.6320 | + | 7.72457i | −0.340146 | + | 0.247131i | −0.744724 | − | 0.667373i | \(-0.767419\pi\) |
0.404577 | + | 0.914504i | \(0.367419\pi\) | |||||||
\(978\) | −33.2415 | −1.06294 | ||||||||
\(979\) | 0 | 0 | ||||||||
\(980\) | −0.564237 | −0.0180239 | ||||||||
\(981\) | 10.3740 | − | 7.53718i | 0.331218 | − | 0.240644i | ||||
\(982\) | −4.42190 | − | 13.6092i | −0.141108 | − | 0.434287i | ||||
\(983\) | 5.69078 | − | 17.5144i | 0.181508 | − | 0.558623i | −0.818363 | − | 0.574702i | \(-0.805118\pi\) |
0.999871 | + | 0.0160784i | \(0.00511815\pi\) | |||||||
\(984\) | −45.1159 | − | 32.7786i | −1.43824 | − | 1.04494i | ||||
\(985\) | 7.45504 | + | 5.41640i | 0.237537 | + | 0.172581i | ||||
\(986\) | −1.70262 | + | 5.24012i | −0.0542225 | + | 0.166880i | ||||
\(987\) | 7.23544 | + | 22.2684i | 0.230307 | + | 0.708811i | ||||
\(988\) | −39.3612 | + | 28.5976i | −1.25225 | + | 0.909809i | ||||
\(989\) | −19.7842 | −0.629101 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 44.3591 | 1.40911 | 0.704557 | − | 0.709647i | \(-0.251146\pi\) | ||||
0.704557 | + | 0.709647i | \(0.251146\pi\) | |||||||
\(992\) | −41.8572 | + | 30.4110i | −1.32897 | + | 0.965551i | ||||
\(993\) | −6.55511 | − | 20.1745i | −0.208020 | − | 0.640220i | ||||
\(994\) | −8.26394 | + | 25.4338i | −0.262116 | + | 0.806711i | ||||
\(995\) | 13.3391 | + | 9.69139i | 0.422877 | + | 0.307238i | ||||
\(996\) | 38.8330 | + | 28.2138i | 1.23047 | + | 0.893989i | ||||
\(997\) | −15.6032 | + | 48.0217i | −0.494158 | + | 1.52086i | 0.324107 | + | 0.946020i | \(0.394936\pi\) |
−0.818265 | + | 0.574841i | \(0.805064\pi\) | |||||||
\(998\) | −10.1254 | − | 31.1626i | −0.320513 | − | 0.986436i | ||||
\(999\) | −3.09822 | + | 2.25099i | −0.0980233 | + | 0.0712181i |
(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 | 605.2.g.q.366.6 | 24 | ||
11.2 | odd | 10 | 605.2.a.m.1.6 | yes | 6 | ||
11.3 | even | 5 | inner | 605.2.g.q.511.1 | 24 | ||
11.4 | even | 5 | inner | 605.2.g.q.81.6 | 24 | ||
11.5 | even | 5 | inner | 605.2.g.q.251.1 | 24 | ||
11.6 | odd | 10 | inner | 605.2.g.q.251.6 | 24 | ||
11.7 | odd | 10 | inner | 605.2.g.q.81.1 | 24 | ||
11.8 | odd | 10 | inner | 605.2.g.q.511.6 | 24 | ||
11.9 | even | 5 | 605.2.a.m.1.1 | ✓ | 6 | ||
11.10 | odd | 2 | inner | 605.2.g.q.366.1 | 24 | ||
33.2 | even | 10 | 5445.2.a.bx.1.1 | 6 | |||
33.20 | odd | 10 | 5445.2.a.bx.1.6 | 6 | |||
44.31 | odd | 10 | 9680.2.a.cw.1.3 | 6 | |||
44.35 | even | 10 | 9680.2.a.cw.1.4 | 6 | |||
55.9 | even | 10 | 3025.2.a.bg.1.6 | 6 | |||
55.24 | odd | 10 | 3025.2.a.bg.1.1 | 6 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
605.2.a.m.1.1 | ✓ | 6 | 11.9 | even | 5 | ||
605.2.a.m.1.6 | yes | 6 | 11.2 | odd | 10 | ||
605.2.g.q.81.1 | 24 | 11.7 | odd | 10 | inner | ||
605.2.g.q.81.6 | 24 | 11.4 | even | 5 | inner | ||
605.2.g.q.251.1 | 24 | 11.5 | even | 5 | inner | ||
605.2.g.q.251.6 | 24 | 11.6 | odd | 10 | inner | ||
605.2.g.q.366.1 | 24 | 11.10 | odd | 2 | inner | ||
605.2.g.q.366.6 | 24 | 1.1 | even | 1 | trivial | ||
605.2.g.q.511.1 | 24 | 11.3 | even | 5 | inner | ||
605.2.g.q.511.6 | 24 | 11.8 | odd | 10 | inner | ||
3025.2.a.bg.1.1 | 6 | 55.24 | odd | 10 | |||
3025.2.a.bg.1.6 | 6 | 55.9 | even | 10 | |||
5445.2.a.bx.1.1 | 6 | 33.2 | even | 10 | |||
5445.2.a.bx.1.6 | 6 | 33.20 | odd | 10 | |||
9680.2.a.cw.1.3 | 6 | 44.31 | odd | 10 | |||
9680.2.a.cw.1.4 | 6 | 44.35 | even | 10 |