Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [210,2,Mod(23,210)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(210, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 9, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("210.23");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 210 = 2 \cdot 3 \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 210.x (of order \(12\), degree \(4\), 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: | \(1.67685844245\) |
Analytic rank: | \(0\) |
Dimension: | \(64\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 23.15 | ||
Character | \(\chi\) | \(=\) | 210.23 |
Dual form | 210.2.x.a.137.15 |
$q$-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 \(\left(\mathbb{Z}/210\mathbb{Z}\right)^\times\).
\(n\) | \(31\) | \(71\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(-1\) | \(e\left(\frac{3}{4}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.965926 | − | 0.258819i | 0.683013 | − | 0.183013i | ||||
\(3\) | 1.46494 | − | 0.924094i | 0.845784 | − | 0.533526i | ||||
\(4\) | 0.866025 | − | 0.500000i | 0.433013 | − | 0.250000i | ||||
\(5\) | −0.480420 | − | 2.18385i | −0.214851 | − | 0.976647i | ||||
\(6\) | 1.17585 | − | 1.27176i | 0.480039 | − | 0.519194i | ||||
\(7\) | −0.998710 | + | 2.45002i | −0.377477 | + | 0.926019i | ||||
\(8\) | 0.707107 | − | 0.707107i | 0.250000 | − | 0.250000i | ||||
\(9\) | 1.29210 | − | 2.70749i | 0.430700 | − | 0.902495i | ||||
\(10\) | −1.02927 | − | 1.98509i | −0.325484 | − | 0.627742i | ||||
\(11\) | −5.16739 | + | 2.98339i | −1.55803 | + | 0.899527i | −0.560581 | + | 0.828100i | \(0.689422\pi\) |
−0.997446 | + | 0.0714273i | \(0.977245\pi\) | |||||||
\(12\) | 0.806628 | − | 1.53276i | 0.232854 | − | 0.442469i | ||||
\(13\) | 2.36809 | + | 2.36809i | 0.656789 | + | 0.656789i | 0.954619 | − | 0.297830i | \(-0.0962628\pi\) |
−0.297830 | + | 0.954619i | \(0.596263\pi\) | |||||||
\(14\) | −0.330568 | + | 2.62502i | −0.0883481 | + | 0.701566i | ||||
\(15\) | −2.72187 | − | 2.75525i | −0.702784 | − | 0.711404i | ||||
\(16\) | 0.500000 | − | 0.866025i | 0.125000 | − | 0.216506i | ||||
\(17\) | 0.245156 | − | 0.914934i | 0.0594590 | − | 0.221904i | −0.929803 | − | 0.368058i | \(-0.880023\pi\) |
0.989262 | + | 0.146154i | \(0.0466895\pi\) | |||||||
\(18\) | 0.547324 | − | 2.94965i | 0.129005 | − | 0.695239i | ||||
\(19\) | 4.22990 | + | 2.44213i | 0.970406 | + | 0.560264i | 0.899360 | − | 0.437209i | \(-0.144033\pi\) |
0.0710458 | + | 0.997473i | \(0.477366\pi\) | |||||||
\(20\) | −1.50798 | − | 1.65106i | −0.337195 | − | 0.369188i | ||||
\(21\) | 0.800996 | + | 4.51203i | 0.174792 | + | 0.984605i | ||||
\(22\) | −4.21916 | + | 4.21916i | −0.899527 | + | 0.899527i | ||||
\(23\) | −0.0558604 | − | 0.208474i | −0.0116477 | − | 0.0434698i | 0.959857 | − | 0.280488i | \(-0.0904964\pi\) |
−0.971505 | + | 0.237019i | \(0.923830\pi\) | |||||||
\(24\) | 0.382436 | − | 1.68930i | 0.0780644 | − | 0.344827i | ||||
\(25\) | −4.53839 | + | 2.09833i | −0.907678 | + | 0.419666i | ||||
\(26\) | 2.90030 | + | 1.67449i | 0.568796 | + | 0.328395i | ||||
\(27\) | −0.609122 | − | 5.16033i | −0.117226 | − | 0.993105i | ||||
\(28\) | 0.360100 | + | 2.62113i | 0.0680526 | + | 0.495347i | ||||
\(29\) | 2.38403 | 0.442704 | 0.221352 | − | 0.975194i | \(-0.428953\pi\) | ||||
0.221352 | + | 0.975194i | \(0.428953\pi\) | |||||||
\(30\) | −3.34224 | − | 1.95690i | −0.610206 | − | 0.357279i | ||||
\(31\) | 1.28677 | + | 2.22875i | 0.231110 | + | 0.400295i | 0.958135 | − | 0.286316i | \(-0.0924308\pi\) |
−0.727025 | + | 0.686611i | \(0.759097\pi\) | |||||||
\(32\) | 0.258819 | − | 0.965926i | 0.0457532 | − | 0.170753i | ||||
\(33\) | −4.81298 | + | 9.14565i | −0.837832 | + | 1.59205i | ||||
\(34\) | − | 0.947209i | − | 0.162445i | ||||||
\(35\) | 5.83027 | + | 1.00399i | 0.985495 | + | 0.169706i | ||||
\(36\) | −0.234751 | − | 2.99080i | −0.0391252 | − | 0.498467i | ||||
\(37\) | −0.352701 | − | 1.31630i | −0.0579836 | − | 0.216398i | 0.930855 | − | 0.365389i | \(-0.119064\pi\) |
−0.988839 | + | 0.148991i | \(0.952397\pi\) | |||||||
\(38\) | 4.71784 | + | 1.26414i | 0.765335 | + | 0.205071i | ||||
\(39\) | 5.65744 | + | 1.28077i | 0.905916 | + | 0.205087i | ||||
\(40\) | −1.88392 | − | 1.20451i | −0.297874 | − | 0.190449i | ||||
\(41\) | − | 4.15479i | − | 0.648869i | −0.945908 | − | 0.324435i | \(-0.894826\pi\) | ||
0.945908 | − | 0.324435i | \(-0.105174\pi\) | |||||||
\(42\) | 1.94150 | + | 4.15097i | 0.299580 | + | 0.640509i | ||||
\(43\) | −6.02072 | − | 6.02072i | −0.918151 | − | 0.918151i | 0.0787443 | − | 0.996895i | \(-0.474909\pi\) |
−0.996895 | + | 0.0787443i | \(0.974909\pi\) | |||||||
\(44\) | −2.98339 | + | 5.16739i | −0.449764 | + | 0.779013i | ||||
\(45\) | −6.53349 | − | 1.52102i | −0.973955 | − | 0.226740i | ||||
\(46\) | −0.107914 | − | 0.186912i | −0.0159110 | − | 0.0275587i | ||||
\(47\) | −3.61867 | + | 0.969620i | −0.527838 | + | 0.141434i | −0.512890 | − | 0.858455i | \(-0.671425\pi\) |
−0.0149481 | + | 0.999888i | \(0.504758\pi\) | |||||||
\(48\) | −0.0678189 | − | 1.73072i | −0.00978882 | − | 0.249808i | ||||
\(49\) | −5.00516 | − | 4.89371i | −0.715023 | − | 0.699101i | ||||
\(50\) | −3.84066 | + | 3.20145i | −0.543152 | + | 0.452754i | ||||
\(51\) | −0.486346 | − | 1.56687i | −0.0681021 | − | 0.219406i | ||||
\(52\) | 3.23487 | + | 0.866780i | 0.448595 | + | 0.120201i | ||||
\(53\) | −5.98451 | − | 1.60355i | −0.822036 | − | 0.220264i | −0.176800 | − | 0.984247i | \(-0.556574\pi\) |
−0.645236 | + | 0.763983i | \(0.723241\pi\) | |||||||
\(54\) | −1.92396 | − | 4.82684i | −0.261818 | − | 0.656850i | ||||
\(55\) | 8.99780 | + | 9.85151i | 1.21326 | + | 1.32838i | ||||
\(56\) | 1.02623 | + | 2.43862i | 0.137136 | + | 0.325874i | ||||
\(57\) | 8.45331 | − | 0.331246i | 1.11967 | − | 0.0438746i | ||||
\(58\) | 2.30280 | − | 0.617033i | 0.302372 | − | 0.0810204i | ||||
\(59\) | 2.02618 | + | 3.50944i | 0.263786 | + | 0.456890i | 0.967245 | − | 0.253846i | \(-0.0816955\pi\) |
−0.703459 | + | 0.710736i | \(0.748362\pi\) | |||||||
\(60\) | −3.73484 | − | 1.02519i | −0.482165 | − | 0.132351i | ||||
\(61\) | −6.70029 | + | 11.6052i | −0.857884 | + | 1.48590i | 0.0160589 | + | 0.999871i | \(0.494888\pi\) |
−0.873943 | + | 0.486028i | \(0.838445\pi\) | |||||||
\(62\) | 1.81977 | + | 1.81977i | 0.231110 | + | 0.231110i | ||||
\(63\) | 5.34295 | + | 5.86966i | 0.673149 | + | 0.739507i | ||||
\(64\) | − | 1.00000i | − | 0.125000i | ||||||
\(65\) | 4.03387 | − | 6.30922i | 0.500340 | − | 0.782563i | ||||
\(66\) | −2.28191 | + | 10.0797i | −0.280884 | + | 1.24073i | ||||
\(67\) | −9.28310 | − | 2.48740i | −1.13411 | − | 0.303884i | −0.357530 | − | 0.933902i | \(-0.616381\pi\) |
−0.776581 | + | 0.630017i | \(0.783048\pi\) | |||||||
\(68\) | −0.245156 | − | 0.914934i | −0.0297295 | − | 0.110952i | ||||
\(69\) | −0.274482 | − | 0.253781i | −0.0330437 | − | 0.0305517i | ||||
\(70\) | 5.89146 | − | 0.539201i | 0.704164 | − | 0.0644469i | ||||
\(71\) | 10.7537i | 1.27623i | 0.769943 | + | 0.638113i | \(0.220285\pi\) | ||||
−0.769943 | + | 0.638113i | \(0.779715\pi\) | |||||||
\(72\) | −1.00083 | − | 2.82813i | −0.117949 | − | 0.333299i | ||||
\(73\) | 3.43327 | − | 12.8131i | 0.401834 | − | 1.49967i | −0.407987 | − | 0.912988i | \(-0.633769\pi\) |
0.809821 | − | 0.586677i | \(-0.199564\pi\) | |||||||
\(74\) | −0.681365 | − | 1.18016i | −0.0792071 | − | 0.137191i | ||||
\(75\) | −4.70942 | + | 7.26783i | −0.543797 | + | 0.839217i | ||||
\(76\) | 4.88427 | 0.560264 | ||||||||
\(77\) | −2.14864 | − | 15.6397i | −0.244860 | − | 1.78231i | ||||
\(78\) | 5.79616 | − | 0.227124i | 0.656286 | − | 0.0257168i | ||||
\(79\) | 0.874016 | + | 0.504613i | 0.0983345 | + | 0.0567734i | 0.548361 | − | 0.836242i | \(-0.315252\pi\) |
−0.450026 | + | 0.893015i | \(0.648585\pi\) | |||||||
\(80\) | −2.13148 | − | 0.675868i | −0.238307 | − | 0.0755644i | ||||
\(81\) | −5.66096 | − | 6.99668i | −0.628995 | − | 0.777409i | ||||
\(82\) | −1.07534 | − | 4.01322i | −0.118751 | − | 0.443186i | ||||
\(83\) | 7.84434 | − | 7.84434i | 0.861028 | − | 0.861028i | −0.130429 | − | 0.991458i | \(-0.541636\pi\) |
0.991458 | + | 0.130429i | \(0.0416356\pi\) | |||||||
\(84\) | 2.94970 | + | 3.50703i | 0.321838 | + | 0.382649i | ||||
\(85\) | −2.11586 | − | 0.0958303i | −0.229497 | − | 0.0103943i | ||||
\(86\) | −7.37384 | − | 4.25729i | −0.795142 | − | 0.459075i | ||||
\(87\) | 3.49247 | − | 2.20307i | 0.374432 | − | 0.236194i | ||||
\(88\) | −1.54432 | + | 5.76347i | −0.164625 | + | 0.614388i | ||||
\(89\) | 0.188917 | − | 0.327214i | 0.0200252 | − | 0.0346846i | −0.855839 | − | 0.517242i | \(-0.826959\pi\) |
0.875864 | + | 0.482557i | \(0.160292\pi\) | |||||||
\(90\) | −6.70454 | + | 0.221800i | −0.706720 | + | 0.0233797i | ||||
\(91\) | −8.16688 | + | 3.43682i | −0.856122 | + | 0.360277i | ||||
\(92\) | −0.152613 | − | 0.152613i | −0.0159110 | − | 0.0159110i | ||||
\(93\) | 3.94461 | + | 2.07589i | 0.409037 | + | 0.215260i | ||||
\(94\) | −3.24441 | + | 1.87316i | −0.334636 | + | 0.193202i | ||||
\(95\) | 3.30112 | − | 10.4107i | 0.338688 | − | 1.06812i | ||||
\(96\) | −0.513452 | − | 1.65420i | −0.0524040 | − | 0.168831i | ||||
\(97\) | 3.42689 | − | 3.42689i | 0.347948 | − | 0.347948i | −0.511397 | − | 0.859345i | \(-0.670872\pi\) |
0.859345 | + | 0.511397i | \(0.170872\pi\) | |||||||
\(98\) | −6.10120 | − | 3.43153i | −0.616314 | − | 0.346637i | ||||
\(99\) | 1.40071 | + | 17.8455i | 0.140777 | + | 1.79354i | ||||
\(100\) | −2.88120 | + | 4.08640i | −0.288120 | + | 0.408640i | ||||
\(101\) | 3.73396 | − | 2.15580i | 0.371543 | − | 0.214510i | −0.302589 | − | 0.953121i | \(-0.597851\pi\) |
0.674132 | + | 0.738611i | \(0.264518\pi\) | |||||||
\(102\) | −0.875311 | − | 1.38760i | −0.0866687 | − | 0.137393i | ||||
\(103\) | 12.9118 | − | 3.45971i | 1.27224 | − | 0.340896i | 0.441352 | − | 0.897334i | \(-0.354499\pi\) |
0.830889 | + | 0.556438i | \(0.187833\pi\) | |||||||
\(104\) | 3.34898 | 0.328395 | ||||||||
\(105\) | 9.46877 | − | 3.91692i | 0.924058 | − | 0.382253i | ||||
\(106\) | −6.19562 | −0.601772 | ||||||||
\(107\) | −15.2003 | + | 4.07291i | −1.46947 | + | 0.393743i | −0.902749 | − | 0.430168i | \(-0.858454\pi\) |
−0.566720 | + | 0.823911i | \(0.691788\pi\) | |||||||
\(108\) | −3.10768 | − | 4.16441i | −0.299037 | − | 0.400721i | ||||
\(109\) | 9.16343 | − | 5.29051i | 0.877698 | − | 0.506739i | 0.00779912 | − | 0.999970i | \(-0.497517\pi\) |
0.869899 | + | 0.493231i | \(0.164184\pi\) | |||||||
\(110\) | 11.2410 | + | 7.18703i | 1.07178 | + | 0.685256i | ||||
\(111\) | −1.73307 | − | 1.60237i | −0.164495 | − | 0.152090i | ||||
\(112\) | 1.62242 | + | 2.08992i | 0.153304 | + | 0.197478i | ||||
\(113\) | 5.87797 | − | 5.87797i | 0.552953 | − | 0.552953i | −0.374339 | − | 0.927292i | \(-0.622130\pi\) |
0.927292 | + | 0.374339i | \(0.122130\pi\) | |||||||
\(114\) | 8.07954 | − | 2.50784i | 0.756718 | − | 0.234880i | ||||
\(115\) | −0.428439 | + | 0.222146i | −0.0399521 | + | 0.0207152i | ||||
\(116\) | 2.06463 | − | 1.19202i | 0.191696 | − | 0.110676i | ||||
\(117\) | 9.47137 | − | 3.35176i | 0.875628 | − | 0.309870i | ||||
\(118\) | 2.86545 | + | 2.86545i | 0.263786 | + | 0.263786i | ||||
\(119\) | 1.99676 | + | 1.51439i | 0.183043 | + | 0.138824i | ||||
\(120\) | −3.87291 | − | 0.0236070i | −0.353547 | − | 0.00215501i | ||||
\(121\) | 12.3013 | − | 21.3064i | 1.11830 | − | 1.93695i | ||||
\(122\) | −3.46833 | + | 12.9440i | −0.314007 | + | 1.17189i | ||||
\(123\) | −3.83942 | − | 6.08652i | −0.346189 | − | 0.548803i | ||||
\(124\) | 2.22875 | + | 1.28677i | 0.200147 | + | 0.115555i | ||||
\(125\) | 6.76277 | + | 8.90308i | 0.604881 | + | 0.796316i | ||||
\(126\) | 6.68007 | + | 4.28680i | 0.595108 | + | 0.381898i | ||||
\(127\) | 11.0815 | − | 11.0815i | 0.983320 | − | 0.983320i | −0.0165433 | − | 0.999863i | \(-0.505266\pi\) |
0.999863 | + | 0.0165433i | \(0.00526612\pi\) | |||||||
\(128\) | −0.258819 | − | 0.965926i | −0.0228766 | − | 0.0853766i | ||||
\(129\) | −14.3837 | − | 3.25628i | −1.26641 | − | 0.286699i | ||||
\(130\) | 2.26347 | − | 7.13828i | 0.198519 | − | 0.626069i | ||||
\(131\) | 3.73610 | + | 2.15704i | 0.326424 | + | 0.188461i | 0.654252 | − | 0.756276i | \(-0.272983\pi\) |
−0.327828 | + | 0.944737i | \(0.606317\pi\) | |||||||
\(132\) | 0.404661 | + | 10.3269i | 0.0352212 | + | 0.898837i | ||||
\(133\) | −10.2077 | + | 7.92434i | −0.885121 | + | 0.687128i | ||||
\(134\) | −9.61057 | −0.830227 | ||||||||
\(135\) | −10.9767 | + | 3.80936i | −0.944727 | + | 0.327857i | ||||
\(136\) | −0.473605 | − | 0.820307i | −0.0406113 | − | 0.0703408i | ||||
\(137\) | −2.10404 | + | 7.85237i | −0.179760 | + | 0.670874i | 0.815932 | + | 0.578148i | \(0.196225\pi\) |
−0.995692 | + | 0.0927253i | \(0.970442\pi\) | |||||||
\(138\) | −0.330812 | − | 0.174093i | −0.0281606 | − | 0.0148198i | ||||
\(139\) | − | 10.9242i | − | 0.926578i | −0.886207 | − | 0.463289i | \(-0.846669\pi\) | ||
0.886207 | − | 0.463289i | \(-0.153331\pi\) | |||||||
\(140\) | 5.55115 | − | 2.04565i | 0.469158 | − | 0.172889i | ||||
\(141\) | −4.40512 | + | 4.76443i | −0.370978 | + | 0.401237i | ||||
\(142\) | 2.78326 | + | 10.3873i | 0.233566 | + | 0.871679i | ||||
\(143\) | −19.3018 | − | 5.17189i | −1.61409 | − | 0.432495i | ||||
\(144\) | −1.69870 | − | 2.47273i | −0.141558 | − | 0.206061i | ||||
\(145\) | −1.14534 | − | 5.20637i | −0.0951152 | − | 0.432365i | ||||
\(146\) | − | 13.2651i | − | 1.09783i | ||||||
\(147\) | −11.8545 | − | 2.54375i | −0.977743 | − | 0.209805i | ||||
\(148\) | −0.963596 | − | 0.963596i | −0.0792071 | − | 0.0792071i | ||||
\(149\) | −5.86144 | + | 10.1523i | −0.480188 | + | 0.831710i | −0.999742 | − | 0.0227275i | \(-0.992765\pi\) |
0.519553 | + | 0.854438i | \(0.326098\pi\) | |||||||
\(150\) | −2.66790 | + | 8.23907i | −0.217833 | + | 0.672718i | ||||
\(151\) | 8.24246 | + | 14.2764i | 0.670762 | + | 1.16179i | 0.977688 | + | 0.210060i | \(0.0673660\pi\) |
−0.306927 | + | 0.951733i | \(0.599301\pi\) | |||||||
\(152\) | 4.71784 | − | 1.26414i | 0.382667 | − | 0.102535i | ||||
\(153\) | −2.16040 | − | 1.84594i | −0.174658 | − | 0.149236i | ||||
\(154\) | −6.12329 | − | 14.5507i | −0.493429 | − | 1.17253i | ||||
\(155\) | 4.24906 | − | 3.88084i | 0.341293 | − | 0.311717i | ||||
\(156\) | 5.53987 | − | 1.71954i | 0.443545 | − | 0.137673i | ||||
\(157\) | 2.43060 | + | 0.651278i | 0.193983 | + | 0.0519776i | 0.354503 | − | 0.935055i | \(-0.384650\pi\) |
−0.160519 | + | 0.987033i | \(0.551317\pi\) | |||||||
\(158\) | 0.974838 | + | 0.261207i | 0.0775540 | + | 0.0207805i | ||||
\(159\) | −10.2488 | + | 3.18116i | −0.812781 | + | 0.252282i | ||||
\(160\) | −2.23378 | − | 0.101171i | −0.176596 | − | 0.00799829i | ||||
\(161\) | 0.566552 | + | 0.0713459i | 0.0446506 | + | 0.00562285i | ||||
\(162\) | −7.27894 | − | 5.29311i | −0.571887 | − | 0.415866i | ||||
\(163\) | −4.86553 | + | 1.30371i | −0.381097 | + | 0.102115i | −0.444282 | − | 0.895887i | \(-0.646541\pi\) |
0.0631843 | + | 0.998002i | \(0.479874\pi\) | |||||||
\(164\) | −2.07740 | − | 3.59815i | −0.162217 | − | 0.280969i | ||||
\(165\) | 22.2850 | + | 6.11707i | 1.73488 | + | 0.476213i | ||||
\(166\) | 5.54679 | − | 9.60731i | 0.430514 | − | 0.745672i | ||||
\(167\) | 13.6846 | + | 13.6846i | 1.05894 | + | 1.05894i | 0.998150 | + | 0.0607934i | \(0.0193631\pi\) |
0.0607934 | + | 0.998150i | \(0.480637\pi\) | |||||||
\(168\) | 3.75688 | + | 2.62410i | 0.289849 | + | 0.202453i | ||||
\(169\) | − | 1.78432i | − | 0.137256i | ||||||
\(170\) | −2.06856 | + | 0.455059i | −0.158651 | + | 0.0349014i | ||||
\(171\) | 12.0775 | − | 8.29691i | 0.923589 | − | 0.634481i | ||||
\(172\) | −8.22445 | − | 2.20373i | −0.627108 | − | 0.168033i | ||||
\(173\) | −3.67722 | − | 13.7236i | −0.279574 | − | 1.04338i | −0.952714 | − | 0.303869i | \(-0.901722\pi\) |
0.673140 | − | 0.739515i | \(-0.264945\pi\) | |||||||
\(174\) | 2.80327 | − | 3.03192i | 0.212515 | − | 0.229849i | ||||
\(175\) | −0.608409 | − | 13.2148i | −0.0459914 | − | 0.998942i | ||||
\(176\) | 5.96679i | 0.449764i | ||||||||
\(177\) | 6.21128 | + | 3.26874i | 0.466869 | + | 0.245694i | ||||
\(178\) | 0.0977906 | − | 0.364960i | 0.00732972 | − | 0.0273549i | ||||
\(179\) | 4.32841 | + | 7.49703i | 0.323521 | + | 0.560354i | 0.981212 | − | 0.192934i | \(-0.0618002\pi\) |
−0.657691 | + | 0.753288i | \(0.728467\pi\) | |||||||
\(180\) | −6.41868 | + | 1.94950i | −0.478420 | + | 0.145307i | ||||
\(181\) | −11.7154 | −0.870801 | −0.435400 | − | 0.900237i | \(-0.643393\pi\) | ||||
−0.435400 | + | 0.900237i | \(0.643393\pi\) | |||||||
\(182\) | −6.99909 | + | 5.43346i | −0.518807 | + | 0.402755i | ||||
\(183\) | 0.908813 | + | 23.1927i | 0.0671814 | + | 1.71445i | ||||
\(184\) | −0.186912 | − | 0.107914i | −0.0137794 | − | 0.00795552i | ||||
\(185\) | −2.70515 | + | 1.40262i | −0.198886 | + | 0.103123i | ||||
\(186\) | 4.34748 | + | 0.984213i | 0.318773 | + | 0.0721660i | ||||
\(187\) | 1.46279 | + | 5.45922i | 0.106970 | + | 0.399217i | ||||
\(188\) | −2.64905 | + | 2.64905i | −0.193202 | + | 0.193202i | ||||
\(189\) | 13.2512 | + | 3.66131i | 0.963884 | + | 0.266321i | ||||
\(190\) | 0.494147 | − | 10.9104i | 0.0358492 | − | 0.791522i | ||||
\(191\) | 22.6716 | + | 13.0895i | 1.64046 | + | 0.947120i | 0.980670 | + | 0.195670i | \(0.0626883\pi\) |
0.659790 | + | 0.751450i | \(0.270645\pi\) | |||||||
\(192\) | −0.924094 | − | 1.46494i | −0.0666908 | − | 0.105723i | ||||
\(193\) | −5.50843 | + | 20.5578i | −0.396506 | + | 1.47978i | 0.422694 | + | 0.906272i | \(0.361084\pi\) |
−0.819200 | + | 0.573508i | \(0.805582\pi\) | |||||||
\(194\) | 2.42318 | − | 4.19707i | 0.173974 | − | 0.301332i | ||||
\(195\) | 0.0790593 | − | 12.9703i | 0.00566155 | − | 0.928823i | ||||
\(196\) | −6.78145 | − | 1.73550i | −0.484389 | − | 0.123964i | ||||
\(197\) | −8.39658 | − | 8.39658i | −0.598231 | − | 0.598231i | 0.341610 | − | 0.939842i | \(-0.389028\pi\) |
−0.939842 | + | 0.341610i | \(0.889028\pi\) | |||||||
\(198\) | 5.97173 | + | 16.8749i | 0.424393 | + | 1.19925i | ||||
\(199\) | −16.5482 | + | 9.55411i | −1.17307 | + | 0.677273i | −0.954401 | − | 0.298527i | \(-0.903505\pi\) |
−0.218669 | + | 0.975799i | \(0.570172\pi\) | |||||||
\(200\) | −1.72538 | + | 4.69287i | −0.122003 | + | 0.331836i | ||||
\(201\) | −15.8978 | + | 4.93457i | −1.12134 | + | 0.348058i | ||||
\(202\) | 3.04877 | − | 3.04877i | 0.214510 | − | 0.214510i | ||||
\(203\) | −2.38096 | + | 5.84092i | −0.167110 | + | 0.409952i | ||||
\(204\) | −1.20462 | − | 1.11378i | −0.0843405 | − | 0.0779799i | ||||
\(205\) | −9.07344 | + | 1.99605i | −0.633716 | + | 0.139410i | ||||
\(206\) | 11.5764 | − | 6.68365i | 0.806568 | − | 0.465672i | ||||
\(207\) | −0.636617 | − | 0.118128i | −0.0442479 | − | 0.00821045i | ||||
\(208\) | 3.23487 | − | 0.866780i | 0.224298 | − | 0.0601004i | ||||
\(209\) | −29.1434 | −2.01589 | ||||||||
\(210\) | 8.13236 | − | 6.23416i | 0.561186 | − | 0.430198i | ||||
\(211\) | −6.45261 | −0.444216 | −0.222108 | − | 0.975022i | \(-0.571294\pi\) | ||||
−0.222108 | + | 0.975022i | \(0.571294\pi\) | |||||||
\(212\) | −5.98451 | + | 1.60355i | −0.411018 | + | 0.110132i | ||||
\(213\) | 9.93741 | + | 15.7535i | 0.680900 | + | 1.07941i | ||||
\(214\) | −13.6282 | + | 7.86826i | −0.931606 | + | 0.537863i | ||||
\(215\) | −10.2559 | + | 16.0408i | −0.699444 | + | 1.09397i | ||||
\(216\) | −4.07962 | − | 3.21819i | −0.277583 | − | 0.218970i | ||||
\(217\) | −6.74558 | + | 0.926731i | −0.457920 | + | 0.0629106i | ||||
\(218\) | 7.48191 | − | 7.48191i | 0.506739 | − | 0.506739i | ||||
\(219\) | −6.81102 | − | 21.9432i | −0.460246 | − | 1.48278i | ||||
\(220\) | 12.7181 | + | 4.03276i | 0.857453 | + | 0.271889i | ||||
\(221\) | 2.74719 | − | 1.58609i | 0.184796 | − | 0.106692i | ||||
\(222\) | −2.08874 | − | 1.09922i | −0.140187 | − | 0.0737746i | ||||
\(223\) | −6.54087 | − | 6.54087i | −0.438009 | − | 0.438009i | 0.453333 | − | 0.891341i | \(-0.350235\pi\) |
−0.891341 | + | 0.453333i | \(0.850235\pi\) | |||||||
\(224\) | 2.10805 | + | 1.59879i | 0.140850 | + | 0.106824i | ||||
\(225\) | −0.182855 | + | 14.9989i | −0.0121904 | + | 0.999926i | ||||
\(226\) | 4.15635 | − | 7.19901i | 0.276476 | − | 0.478871i | ||||
\(227\) | −2.54238 | + | 9.48829i | −0.168744 | + | 0.629760i | 0.828789 | + | 0.559561i | \(0.189030\pi\) |
−0.997533 | + | 0.0701991i | \(0.977637\pi\) | |||||||
\(228\) | 7.15516 | − | 4.51352i | 0.473862 | − | 0.298915i | ||||
\(229\) | 7.87583 | + | 4.54711i | 0.520449 | + | 0.300482i | 0.737118 | − | 0.675764i | \(-0.236186\pi\) |
−0.216669 | + | 0.976245i | \(0.569519\pi\) | |||||||
\(230\) | −0.356345 | + | 0.325464i | −0.0234967 | + | 0.0214605i | ||||
\(231\) | −17.6002 | − | 20.9257i | −1.15801 | − | 1.37681i | ||||
\(232\) | 1.68577 | − | 1.68577i | 0.110676 | − | 0.110676i | ||||
\(233\) | 4.84119 | + | 18.0676i | 0.317157 | + | 1.18364i | 0.921965 | + | 0.387274i | \(0.126583\pi\) |
−0.604808 | + | 0.796371i | \(0.706750\pi\) | |||||||
\(234\) | 8.28114 | − | 5.68892i | 0.541355 | − | 0.371896i | ||||
\(235\) | 3.85599 | + | 7.43681i | 0.251537 | + | 0.485124i | ||||
\(236\) | 3.50944 | + | 2.02618i | 0.228445 | + | 0.131893i | ||||
\(237\) | 1.74669 | − | 0.0684447i | 0.113460 | − | 0.00444596i | ||||
\(238\) | 2.32068 | + | 0.945987i | 0.150427 | + | 0.0613192i | ||||
\(239\) | 8.87693 | 0.574201 | 0.287100 | − | 0.957900i | \(-0.407309\pi\) | ||||
0.287100 | + | 0.957900i | \(0.407309\pi\) | |||||||
\(240\) | −3.74706 | + | 0.979581i | −0.241871 | + | 0.0632317i | ||||
\(241\) | 2.06335 | + | 3.57384i | 0.132912 | + | 0.230211i | 0.924798 | − | 0.380458i | \(-0.124234\pi\) |
−0.791886 | + | 0.610669i | \(0.790900\pi\) | |||||||
\(242\) | 6.36761 | − | 23.7642i | 0.409325 | − | 1.52762i | ||||
\(243\) | −14.7586 | − | 5.01847i | −0.946762 | − | 0.321935i | ||||
\(244\) | 13.4006i | 0.857884i | ||||||||
\(245\) | −8.28254 | + | 13.2815i | −0.529152 | + | 0.848527i | ||||
\(246\) | −5.28390 | − | 4.88541i | −0.336889 | − | 0.311483i | ||||
\(247\) | 4.23359 | + | 15.8000i | 0.269377 | + | 1.00533i | ||||
\(248\) | 2.48585 | + | 0.666080i | 0.157851 | + | 0.0422961i | ||||
\(249\) | 4.24258 | − | 18.7404i | 0.268863 | − | 1.18762i | ||||
\(250\) | 8.83663 | + | 6.84938i | 0.558877 | + | 0.433193i | ||||
\(251\) | − | 9.72407i | − | 0.613778i | −0.951745 | − | 0.306889i | \(-0.900712\pi\) | ||
0.951745 | − | 0.306889i | \(-0.0992880\pi\) | |||||||
\(252\) | 7.56196 | + | 2.41180i | 0.476359 | + | 0.151929i | ||||
\(253\) | 0.910612 | + | 0.910612i | 0.0572497 | + | 0.0572497i | ||||
\(254\) | 7.83577 | − | 13.5720i | 0.491660 | − | 0.851580i | ||||
\(255\) | −3.18816 | + | 1.81486i | −0.199650 | + | 0.113651i | ||||
\(256\) | −0.500000 | − | 0.866025i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | −6.07565 | + | 1.62796i | −0.378988 | + | 0.101550i | −0.443284 | − | 0.896381i | \(-0.646187\pi\) |
0.0642955 | + | 0.997931i | \(0.479520\pi\) | |||||||
\(258\) | −14.7364 | + | 0.577449i | −0.917446 | + | 0.0359504i | ||||
\(259\) | 3.57719 | + | 0.450476i | 0.222276 | + | 0.0279912i | ||||
\(260\) | 0.338821 | − | 7.48088i | 0.0210128 | − | 0.463945i | ||||
\(261\) | 3.08041 | − | 6.45474i | 0.190673 | − | 0.399538i | ||||
\(262\) | 4.16707 | + | 1.11656i | 0.257443 | + | 0.0689816i | ||||
\(263\) | −12.5532 | − | 3.36362i | −0.774064 | − | 0.207410i | −0.149898 | − | 0.988701i | \(-0.547894\pi\) |
−0.624166 | + | 0.781292i | \(0.714561\pi\) | |||||||
\(264\) | 3.06366 | + | 9.87024i | 0.188555 | + | 0.607471i | ||||
\(265\) | −0.626819 | + | 13.8396i | −0.0385052 | + | 0.850163i | ||||
\(266\) | −7.80892 | + | 10.2963i | −0.478796 | + | 0.631305i | ||||
\(267\) | −0.0256243 | − | 0.653926i | −0.00156818 | − | 0.0400196i | ||||
\(268\) | −9.28310 | + | 2.48740i | −0.567056 | + | 0.151942i | ||||
\(269\) | −5.49814 | − | 9.52306i | −0.335228 | − | 0.580631i | 0.648301 | − | 0.761384i | \(-0.275480\pi\) |
−0.983529 | + | 0.180753i | \(0.942147\pi\) | |||||||
\(270\) | −9.61678 | + | 6.52055i | −0.585259 | + | 0.396828i | ||||
\(271\) | 9.59447 | − | 16.6181i | 0.582823 | − | 1.00948i | −0.412321 | − | 0.911039i | \(-0.635282\pi\) |
0.995143 | − | 0.0984394i | \(-0.0313851\pi\) | |||||||
\(272\) | −0.669778 | − | 0.669778i | −0.0406113 | − | 0.0406113i | ||||
\(273\) | −8.78805 | + | 12.5817i | −0.531877 | + | 0.761480i | ||||
\(274\) | 8.12938i | 0.491114i | ||||||||
\(275\) | 17.1915 | − | 24.3827i | 1.03669 | − | 1.47033i | ||||
\(276\) | −0.364599 | − | 0.0825404i | −0.0219463 | − | 0.00496835i | ||||
\(277\) | 1.66179 | + | 0.445276i | 0.0998475 | + | 0.0267540i | 0.308397 | − | 0.951258i | \(-0.400208\pi\) |
−0.208549 | + | 0.978012i | \(0.566874\pi\) | |||||||
\(278\) | −2.82739 | − | 10.5520i | −0.169575 | − | 0.632864i | ||||
\(279\) | 7.69694 | − | 0.604141i | 0.460804 | − | 0.0361690i | ||||
\(280\) | 4.83255 | − | 3.41269i | 0.288800 | − | 0.203947i | ||||
\(281\) | − | 17.7331i | − | 1.05787i | −0.848664 | − | 0.528933i | \(-0.822592\pi\) | ||
0.848664 | − | 0.528933i | \(-0.177408\pi\) | |||||||
\(282\) | −3.02189 | + | 5.74221i | −0.179951 | + | 0.341944i | ||||
\(283\) | 4.30819 | − | 16.0784i | 0.256095 | − | 0.955760i | −0.711383 | − | 0.702805i | \(-0.751931\pi\) |
0.967478 | − | 0.252955i | \(-0.0814025\pi\) | |||||||
\(284\) | 5.37684 | + | 9.31295i | 0.319057 | + | 0.552622i | ||||
\(285\) | −4.78453 | − | 18.3016i | −0.283411 | − | 1.08409i | ||||
\(286\) | −19.9827 | −1.18160 | ||||||||
\(287\) | 10.1793 | + | 4.14943i | 0.600865 | + | 0.244933i | ||||
\(288\) | −2.28081 | − | 1.94882i | −0.134398 | − | 0.114835i | ||||
\(289\) | 13.9454 | + | 8.05140i | 0.820319 | + | 0.473612i | ||||
\(290\) | −2.45382 | − | 4.73253i | −0.144093 | − | 0.277904i | ||||
\(291\) | 1.85342 | − | 8.18696i | 0.108649 | − | 0.479928i | ||||
\(292\) | −3.43327 | − | 12.8131i | −0.200917 | − | 0.749833i | ||||
\(293\) | −5.73680 | + | 5.73680i | −0.335148 | + | 0.335148i | −0.854537 | − | 0.519390i | \(-0.826159\pi\) |
0.519390 | + | 0.854537i | \(0.326159\pi\) | |||||||
\(294\) | −12.1089 | + | 0.611095i | −0.706208 | + | 0.0356398i | ||||
\(295\) | 6.69067 | − | 6.11087i | 0.389546 | − | 0.355789i | ||||
\(296\) | −1.18016 | − | 0.681365i | −0.0685953 | − | 0.0396035i | ||||
\(297\) | 18.5429 | + | 24.8482i | 1.07597 | + | 1.44184i | ||||
\(298\) | −3.03411 | + | 11.3234i | −0.175761 | + | 0.655949i | ||||
\(299\) | 0.361402 | − | 0.625966i | 0.0209004 | − | 0.0362006i | ||||
\(300\) | −0.444560 | + | 8.64884i | −0.0256667 | + | 0.499341i | ||||
\(301\) | 20.7638 | − | 8.73790i | 1.19681 | − | 0.503644i | ||||
\(302\) | 11.6566 | + | 11.6566i | 0.670762 | + | 0.670762i | ||||
\(303\) | 3.47786 | − | 6.60865i | 0.199798 | − | 0.379657i | ||||
\(304\) | 4.22990 | − | 2.44213i | 0.242601 | − | 0.140066i | ||||
\(305\) | 28.5631 | + | 9.05703i | 1.63552 | + | 0.518604i | ||||
\(306\) | −2.56456 | − | 1.22389i | −0.146606 | − | 0.0699651i | ||||
\(307\) | 1.58405 | − | 1.58405i | 0.0904064 | − | 0.0904064i | −0.660457 | − | 0.750864i | \(-0.729638\pi\) |
0.750864 | + | 0.660457i | \(0.229638\pi\) | |||||||
\(308\) | −9.68064 | − | 12.4701i | −0.551606 | − | 0.710549i | ||||
\(309\) | 15.7180 | − | 17.0000i | 0.894163 | − | 0.967097i | ||||
\(310\) | 3.09984 | − | 4.84834i | 0.176059 | − | 0.275367i | ||||
\(311\) | 5.20473 | − | 3.00495i | 0.295133 | − | 0.170395i | −0.345121 | − | 0.938558i | \(-0.612162\pi\) |
0.640254 | + | 0.768163i | \(0.278829\pi\) | |||||||
\(312\) | 4.90606 | − | 3.09477i | 0.277751 | − | 0.175207i | ||||
\(313\) | −3.10488 | + | 0.831951i | −0.175498 | + | 0.0470246i | −0.345498 | − | 0.938419i | \(-0.612290\pi\) |
0.170000 | + | 0.985444i | \(0.445623\pi\) | |||||||
\(314\) | 2.51634 | 0.142006 | ||||||||
\(315\) | 10.2516 | − | 14.4881i | 0.577611 | − | 0.816312i | ||||
\(316\) | 1.00923 | 0.0567734 | ||||||||
\(317\) | −0.760038 | + | 0.203652i | −0.0426880 | + | 0.0114382i | −0.280100 | − | 0.959971i | \(-0.590368\pi\) |
0.237412 | + | 0.971409i | \(0.423701\pi\) | |||||||
\(318\) | −9.07622 | + | 5.72534i | −0.508969 | + | 0.321061i | ||||
\(319\) | −12.3192 | + | 7.11251i | −0.689744 | + | 0.398224i | ||||
\(320\) | −2.18385 | + | 0.480420i | −0.122081 | + | 0.0268563i | ||||
\(321\) | −18.5038 | + | 20.0131i | −1.03278 | + | 1.11702i | ||||
\(322\) | 0.565713 | − | 0.0777197i | 0.0315260 | − | 0.00433115i | ||||
\(323\) | 3.27138 | − | 3.27138i | 0.182024 | − | 0.182024i | ||||
\(324\) | −8.40087 | − | 3.22883i | −0.466715 | − | 0.179379i | ||||
\(325\) | −15.7163 | − | 5.77828i | −0.871786 | − | 0.320521i | ||||
\(326\) | −4.36231 | + | 2.51858i | −0.241606 | + | 0.139491i | ||||
\(327\) | 8.53495 | − | 16.2182i | 0.471984 | − | 0.896866i | ||||
\(328\) | −2.93788 | − | 2.93788i | −0.162217 | − | 0.162217i | ||||
\(329\) | 1.23842 | − | 9.83417i | 0.0682761 | − | 0.542176i | ||||
\(330\) | 23.1088 | + | 0.140858i | 1.27210 | + | 0.00775396i | ||||
\(331\) | −10.7885 | + | 18.6862i | −0.592989 | + | 1.02709i | 0.400838 | + | 0.916149i | \(0.368719\pi\) |
−0.993827 | + | 0.110939i | \(0.964614\pi\) | |||||||
\(332\) | 2.87123 | − | 10.7156i | 0.157579 | − | 0.588093i | ||||
\(333\) | −4.01958 | − | 0.745855i | −0.220271 | − | 0.0408726i | ||||
\(334\) | 16.7601 | + | 9.67645i | 0.917072 | + | 0.529472i | ||||
\(335\) | −0.972314 | + | 21.4679i | −0.0531232 | + | 1.17292i | ||||
\(336\) | 4.30803 | + | 1.56233i | 0.235022 | + | 0.0852322i | ||||
\(337\) | −1.09253 | + | 1.09253i | −0.0595139 | + | 0.0595139i | −0.736237 | − | 0.676723i | \(-0.763399\pi\) |
0.676723 | + | 0.736237i | \(0.263399\pi\) | |||||||
\(338\) | −0.461817 | − | 1.72352i | −0.0251195 | − | 0.0937474i | ||||
\(339\) | 3.17908 | − | 14.0427i | 0.172664 | − | 0.762693i | ||||
\(340\) | −1.88030 | + | 0.974936i | −0.101974 | + | 0.0528733i | ||||
\(341\) | −13.2985 | − | 7.67787i | −0.720152 | − | 0.415780i | ||||
\(342\) | 9.51857 | − | 11.1401i | 0.514705 | − | 0.602387i | ||||
\(343\) | 16.9884 | − | 7.37533i | 0.917286 | − | 0.398230i | ||||
\(344\) | −8.51458 | −0.459075 | ||||||||
\(345\) | −0.422354 | + | 0.721348i | −0.0227388 | + | 0.0388361i | ||||
\(346\) | −7.10384 | − | 12.3042i | −0.381905 | − | 0.661479i | ||||
\(347\) | 4.18299 | − | 15.6111i | 0.224555 | − | 0.838050i | −0.758028 | − | 0.652222i | \(-0.773837\pi\) |
0.982582 | − | 0.185827i | \(-0.0594965\pi\) | |||||||
\(348\) | 1.92303 | − | 3.65415i | 0.103085 | − | 0.195883i | ||||
\(349\) | 23.5711i | 1.26173i | 0.775892 | + | 0.630866i | \(0.217300\pi\) | ||||
−0.775892 | + | 0.630866i | \(0.782700\pi\) | |||||||
\(350\) | −4.00791 | − | 12.6070i | −0.214232 | − | 0.673873i | ||||
\(351\) | 10.7776 | − | 13.6626i | 0.575268 | − | 0.729253i | ||||
\(352\) | 1.54432 | + | 5.76347i | 0.0823124 | + | 0.307194i | ||||
\(353\) | 26.1314 | + | 7.00188i | 1.39083 | + | 0.372672i | 0.875044 | − | 0.484044i | \(-0.160832\pi\) |
0.515788 | + | 0.856716i | \(0.327499\pi\) | |||||||
\(354\) | 6.84565 | + | 1.54977i | 0.363842 | + | 0.0823691i | ||||
\(355\) | 23.4844 | − | 5.16628i | 1.24642 | − | 0.274198i | ||||
\(356\) | − | 0.377834i | − | 0.0200252i | ||||||
\(357\) | 4.32458 | + | 0.373292i | 0.228881 | + | 0.0197567i | ||||
\(358\) | 6.12130 | + | 6.12130i | 0.323521 | + | 0.323521i | ||||
\(359\) | 3.59250 | − | 6.22240i | 0.189605 | − | 0.328405i | −0.755514 | − | 0.655133i | \(-0.772613\pi\) |
0.945119 | + | 0.326727i | \(0.105946\pi\) | |||||||
\(360\) | −5.69540 | + | 3.54435i | −0.300174 | + | 0.186804i | ||||
\(361\) | 2.42804 | + | 4.20549i | 0.127791 | + | 0.221341i | ||||
\(362\) | −11.3162 | + | 3.03218i | −0.594768 | + | 0.159368i | ||||
\(363\) | −1.66852 | − | 42.5802i | −0.0875745 | − | 2.23488i | ||||
\(364\) | −5.35432 | + | 7.05982i | −0.280643 | + | 0.370035i | ||||
\(365\) | −29.6314 | − | 1.34205i | −1.55098 | − | 0.0702462i | ||||
\(366\) | 6.88056 | + | 22.1672i | 0.359652 | + | 1.15870i | ||||
\(367\) | −14.4270 | − | 3.86571i | −0.753084 | − | 0.201788i | −0.138198 | − | 0.990405i | \(-0.544131\pi\) |
−0.614886 | + | 0.788616i | \(0.710798\pi\) | |||||||
\(368\) | −0.208474 | − | 0.0558604i | −0.0108674 | − | 0.00291192i | ||||
\(369\) | −11.2490 | − | 5.36841i | −0.585602 | − | 0.279468i | ||||
\(370\) | −2.24995 | + | 2.05497i | −0.116969 | + | 0.106833i | ||||
\(371\) | 9.90550 | − | 13.0607i | 0.514268 | − | 0.678077i | ||||
\(372\) | 4.45408 | − | 0.174534i | 0.230933 | − | 0.00904919i | ||||
\(373\) | 7.54451 | − | 2.02154i | 0.390640 | − | 0.104672i | −0.0581526 | − | 0.998308i | \(-0.518521\pi\) |
0.448792 | + | 0.893636i | \(0.351854\pi\) | |||||||
\(374\) | 2.82590 | + | 4.89460i | 0.146124 | + | 0.253094i | ||||
\(375\) | 18.1343 | + | 6.79304i | 0.936454 | + | 0.350791i | ||||
\(376\) | −1.87316 | + | 3.24441i | −0.0966010 | + | 0.167318i | ||||
\(377\) | 5.64560 | + | 5.64560i | 0.290763 | + | 0.290763i | ||||
\(378\) | 13.7473 | + | 0.106883i | 0.707085 | + | 0.00549748i | ||||
\(379\) | 17.2301i | 0.885050i | 0.896756 | + | 0.442525i | \(0.145917\pi\) | ||||
−0.896756 | + | 0.442525i | \(0.854083\pi\) | |||||||
\(380\) | −2.34650 | − | 10.6665i | −0.120373 | − | 0.547180i | ||||
\(381\) | 5.99336 | − | 26.4740i | 0.307049 | − | 1.35630i | ||||
\(382\) | 25.2869 | + | 6.77560i | 1.29379 | + | 0.346670i | ||||
\(383\) | −1.41459 | − | 5.27933i | −0.0722823 | − | 0.269761i | 0.920321 | − | 0.391164i | \(-0.127927\pi\) |
−0.992603 | + | 0.121403i | \(0.961261\pi\) | |||||||
\(384\) | −1.27176 | − | 1.17585i | −0.0648993 | − | 0.0600049i | ||||
\(385\) | −33.1226 | + | 12.2060i | −1.68808 | + | 0.622073i | ||||
\(386\) | 21.2830i | 1.08327i | ||||||||
\(387\) | −24.0804 | + | 8.52163i | −1.22407 | + | 0.433179i | ||||
\(388\) | 1.25433 | − | 4.68122i | 0.0636789 | − | 0.237653i | ||||
\(389\) | 2.33417 | + | 4.04291i | 0.118347 | + | 0.204983i | 0.919113 | − | 0.393994i | \(-0.128907\pi\) |
−0.800766 | + | 0.598978i | \(0.795574\pi\) | |||||||
\(390\) | −3.28060 | − | 12.5488i | −0.166120 | − | 0.635434i | ||||
\(391\) | −0.204434 | −0.0103387 | ||||||||
\(392\) | −6.99956 | + | 0.0788068i | −0.353531 | + | 0.00398035i | ||||
\(393\) | 7.46646 | − | 0.292576i | 0.376633 | − | 0.0147585i | ||||
\(394\) | −10.2837 | − | 5.93728i | −0.518084 | − | 0.299116i | ||||
\(395\) | 0.682104 | − | 2.15115i | 0.0343204 | − | 0.108236i | ||||
\(396\) | 10.1358 | + | 14.7543i | 0.509343 | + | 0.741430i | ||||
\(397\) | 0.0132059 | + | 0.0492850i | 0.000662783 | + | 0.00247354i | 0.966256 | − | 0.257582i | \(-0.0829258\pi\) |
−0.965594 | + | 0.260056i | \(0.916259\pi\) | |||||||
\(398\) | −13.5115 | + | 13.5115i | −0.677273 | + | 0.677273i | ||||
\(399\) | −7.63085 | + | 21.0416i | −0.382020 | + | 1.05340i | ||||
\(400\) | −0.451988 | + | 4.97953i | −0.0225994 | + | 0.248976i | ||||
\(401\) | 0.0554200 | + | 0.0319968i | 0.00276754 | + | 0.00159784i | 0.501383 | − | 0.865225i | \(-0.332825\pi\) |
−0.498616 | + | 0.866823i | \(0.666158\pi\) | |||||||
\(402\) | −14.0789 | + | 8.88108i | −0.702193 | + | 0.442948i | ||||
\(403\) | −2.23069 | + | 8.32505i | −0.111119 | + | 0.414700i | ||||
\(404\) | 2.15580 | − | 3.73396i | 0.107255 | − | 0.185771i | ||||
\(405\) | −12.5601 | + | 15.7240i | −0.624114 | + | 0.781333i | ||||
\(406\) | −0.788086 | + | 6.25813i | −0.0391121 | + | 0.310586i | ||||
\(407\) | 5.74957 | + | 5.74957i | 0.284996 | + | 0.284996i | ||||
\(408\) | −1.45184 | − | 0.764046i | −0.0718770 | − | 0.0378259i | ||||
\(409\) | 29.6265 | − | 17.1049i | 1.46494 | − | 0.845781i | 0.465702 | − | 0.884942i | \(-0.345802\pi\) |
0.999233 | + | 0.0391609i | \(0.0124685\pi\) | |||||||
\(410\) | −8.24765 | + | 4.27641i | −0.407323 | + | 0.211197i | ||||
\(411\) | 4.17404 | + | 13.4476i | 0.205890 | + | 0.663321i | ||||
\(412\) | 9.45212 | − | 9.45212i | 0.465672 | − | 0.465672i | ||||
\(413\) | −10.6217 | + | 1.45925i | −0.522662 | + | 0.0718052i | ||||
\(414\) | −0.645498 | + | 0.0506659i | −0.0317245 | + | 0.00249009i | ||||
\(415\) | −20.8994 | − | 13.3623i | −1.02591 | − | 0.655928i | ||||
\(416\) | 2.90030 | − | 1.67449i | 0.142199 | − | 0.0820987i | ||||
\(417\) | −10.0950 | − | 16.0033i | −0.494353 | − | 0.783684i | ||||
\(418\) | −28.1504 | + | 7.54286i | −1.37688 | + | 0.368934i | ||||
\(419\) | −18.1904 | −0.888658 | −0.444329 | − | 0.895864i | \(-0.646558\pi\) | ||||
−0.444329 | + | 0.895864i | \(0.646558\pi\) | |||||||
\(420\) | 6.24174 | − | 8.12654i | 0.304566 | − | 0.396535i | ||||
\(421\) | −2.01328 | −0.0981212 | −0.0490606 | − | 0.998796i | \(-0.515623\pi\) | ||||
−0.0490606 | + | 0.998796i | \(0.515623\pi\) | |||||||
\(422\) | −6.23274 | + | 1.67006i | −0.303405 | + | 0.0812972i | ||||
\(423\) | −2.05045 | + | 11.0503i | −0.0996964 | + | 0.537286i | ||||
\(424\) | −5.36557 | + | 3.09781i | −0.260575 | + | 0.150443i | ||||
\(425\) | 0.807221 | + | 4.66675i | 0.0391560 | + | 0.226370i | ||||
\(426\) | 13.6761 | + | 12.6447i | 0.662609 | + | 0.612638i | ||||
\(427\) | −21.7414 | − | 28.0061i | −1.05214 | − | 1.35531i | ||||
\(428\) | −11.1274 | + | 11.1274i | −0.537863 | + | 0.537863i | ||||
\(429\) | −33.0553 | + | 10.2601i | −1.59592 | + | 0.495364i | ||||
\(430\) | −5.75473 | + | 18.1486i | −0.277518 | + | 0.875205i | ||||
\(431\) | −35.3759 | + | 20.4243i | −1.70400 | + | 0.983804i | −0.762374 | + | 0.647136i | \(0.775966\pi\) |
−0.941624 | + | 0.336667i | \(0.890700\pi\) | |||||||
\(432\) | −4.77354 | − | 2.05265i | −0.229667 | − | 0.0987581i | ||||
\(433\) | 7.07520 | + | 7.07520i | 0.340012 | + | 0.340012i | 0.856372 | − | 0.516360i | \(-0.172713\pi\) |
−0.516360 | + | 0.856372i | \(0.672713\pi\) | |||||||
\(434\) | −6.27587 | + | 2.64104i | −0.301251 | + | 0.126774i | ||||
\(435\) | −6.48903 | − | 6.56862i | −0.311125 | − | 0.314941i | ||||
\(436\) | 5.29051 | − | 9.16343i | 0.253370 | − | 0.438849i | ||||
\(437\) | 0.272837 | − | 1.01824i | 0.0130516 | − | 0.0487091i | ||||
\(438\) | −12.2582 | − | 19.4326i | −0.585722 | − | 0.928528i | ||||
\(439\) | −15.7197 | − | 9.07578i | −0.750261 | − | 0.433163i | 0.0755273 | − | 0.997144i | \(-0.475936\pi\) |
−0.825788 | + | 0.563980i | \(0.809269\pi\) | |||||||
\(440\) | 13.3285 | + | 0.603667i | 0.635410 | + | 0.0287787i | ||||
\(441\) | −19.7168 | + | 7.22823i | −0.938896 | + | 0.344202i | ||||
\(442\) | 2.24307 | − | 2.24307i | 0.106692 | − | 0.106692i | ||||
\(443\) | 2.15250 | + | 8.03323i | 0.102268 | + | 0.381670i | 0.998021 | − | 0.0628823i | \(-0.0200293\pi\) |
−0.895753 | + | 0.444553i | \(0.853363\pi\) | |||||||
\(444\) | −2.30206 | − | 0.521157i | −0.109251 | − | 0.0247330i | ||||
\(445\) | −0.805345 | − | 0.255366i | −0.0381770 | − | 0.0121055i | ||||
\(446\) | −8.01090 | − | 4.62509i | −0.379327 | − | 0.219004i | ||||
\(447\) | 0.795034 | + | 20.2891i | 0.0376038 | + | 0.959640i | ||||
\(448\) | 2.45002 | + | 0.998710i | 0.115752 | + | 0.0471846i | ||||
\(449\) | 12.4820 | 0.589061 | 0.294531 | − | 0.955642i | \(-0.404837\pi\) | ||||
0.294531 | + | 0.955642i | \(0.404837\pi\) | |||||||
\(450\) | 3.70537 | + | 14.5351i | 0.174673 | + | 0.685193i | ||||
\(451\) | 12.3954 | + | 21.4694i | 0.583676 | + | 1.01096i | ||||
\(452\) | 2.15149 | − | 8.02946i | 0.101197 | − | 0.377674i | ||||
\(453\) | 25.2674 | + | 13.2972i | 1.18717 | + | 0.624757i | ||||
\(454\) | 9.82300i | 0.461016i | ||||||||
\(455\) | 11.4290 | + | 16.1841i | 0.535801 | + | 0.758723i | ||||
\(456\) | 5.74317 | − | 6.21162i | 0.268949 | − | 0.290886i | ||||
\(457\) | 8.18804 | + | 30.5582i | 0.383021 | + | 1.42945i | 0.841264 | + | 0.540625i | \(0.181812\pi\) |
−0.458243 | + | 0.888827i | \(0.651521\pi\) | |||||||
\(458\) | 8.78434 | + | 2.35376i | 0.410465 | + | 0.109984i | ||||
\(459\) | −4.87069 | − | 0.707777i | −0.227344 | − | 0.0330362i | ||||
\(460\) | −0.259966 | + | 0.406603i | −0.0121210 | + | 0.0189580i | ||||
\(461\) | 13.2219i | 0.615807i | 0.951418 | + | 0.307904i | \(0.0996274\pi\) | ||||
−0.951418 | + | 0.307904i | \(0.900373\pi\) | |||||||
\(462\) | −22.4165 | − | 15.6574i | −1.04291 | − | 0.728449i | ||||
\(463\) | −16.2332 | − | 16.2332i | −0.754422 | − | 0.754422i | 0.220879 | − | 0.975301i | \(-0.429107\pi\) |
−0.975301 | + | 0.220879i | \(0.929107\pi\) | |||||||
\(464\) | 1.19202 | − | 2.06463i | 0.0553380 | − | 0.0958482i | ||||
\(465\) | 2.63835 | − | 9.61174i | 0.122351 | − | 0.445734i | ||||
\(466\) | 9.35245 | + | 16.1989i | 0.433244 | + | 0.750401i | ||||
\(467\) | 12.6067 | − | 3.37796i | 0.583369 | − | 0.156313i | 0.0449484 | − | 0.998989i | \(-0.485688\pi\) |
0.538421 | + | 0.842676i | \(0.319021\pi\) | |||||||
\(468\) | 6.52657 | − | 7.63839i | 0.301691 | − | 0.353085i | ||||
\(469\) | 15.3653 | − | 20.2596i | 0.709503 | − | 0.935500i | ||||
\(470\) | 5.64939 | + | 6.18540i | 0.260587 | + | 0.285311i | ||||
\(471\) | 4.16253 | − | 1.29202i | 0.191799 | − | 0.0595332i | ||||
\(472\) | 3.91427 | + | 1.04883i | 0.180169 | + | 0.0482761i | ||||
\(473\) | 49.0735 | + | 13.1492i | 2.25640 | + | 0.604602i | ||||
\(474\) | 1.66946 | − | 0.518189i | 0.0766808 | − | 0.0238012i | ||||
\(475\) | −24.3214 | − | 2.20763i | −1.11594 | − | 0.101293i | ||||
\(476\) | 2.48644 | + | 0.313117i | 0.113966 | + | 0.0143517i | ||||
\(477\) | −12.0742 | + | 14.1310i | −0.552838 | + | 0.647016i | ||||
\(478\) | 8.57446 | − | 2.29752i | 0.392187 | − | 0.105086i | ||||
\(479\) | 15.7131 | + | 27.2159i | 0.717951 | + | 1.24353i | 0.961810 | + | 0.273717i | \(0.0882532\pi\) |
−0.243859 | + | 0.969811i | \(0.578414\pi\) | |||||||
\(480\) | −3.36584 | + | 1.91601i | −0.153629 | + | 0.0874536i | ||||
\(481\) | 2.28188 | − | 3.95233i | 0.104045 | − | 0.180211i | ||||
\(482\) | 2.91802 | + | 2.91802i | 0.132912 | + | 0.132912i | ||||
\(483\) | 0.895896 | − | 0.419030i | 0.0407647 | − | 0.0190665i | ||||
\(484\) | − | 24.6026i | − | 1.11830i | ||||||
\(485\) | −9.13016 | − | 5.83746i | −0.414579 | − | 0.265066i | ||||
\(486\) | −15.5545 | − | 1.02767i | −0.705569 | − | 0.0466161i | ||||
\(487\) | −25.7118 | − | 6.88945i | −1.16511 | − | 0.312191i | −0.376106 | − | 0.926577i | \(-0.622737\pi\) |
−0.789006 | + | 0.614386i | \(0.789404\pi\) | |||||||
\(488\) | 3.46833 | + | 12.9440i | 0.157004 | + | 0.585946i | ||||
\(489\) | −5.92295 | + | 6.40607i | −0.267845 | + | 0.289692i | ||||
\(490\) | −4.56280 | + | 14.9727i | −0.206126 | + | 0.676396i | ||||
\(491\) | − | 17.2123i | − | 0.776779i | −0.921495 | − | 0.388389i | \(-0.873032\pi\) | ||
0.921495 | − | 0.388389i | \(-0.126968\pi\) | |||||||
\(492\) | −6.36829 | − | 3.35137i | −0.287105 | − | 0.151092i | ||||
\(493\) | 0.584460 | − | 2.18123i | 0.0263227 | − | 0.0982378i | ||||
\(494\) | 8.17866 | + | 14.1659i | 0.367975 | + | 0.637352i | ||||
\(495\) | 38.2989 | − | 11.6323i | 1.72141 | − | 0.522832i | ||||
\(496\) | 2.57354 | 0.115555 | ||||||||
\(497\) | −26.3467 | − | 10.7398i | −1.18181 | − | 0.481746i | ||||
\(498\) | −0.752354 | − | 19.1999i | −0.0337138 | − | 0.860368i | ||||
\(499\) | −34.9854 | − | 20.1988i | −1.56616 | − | 0.904224i | −0.996610 | − | 0.0822678i | \(-0.973784\pi\) |
−0.569551 | − | 0.821956i | \(-0.692883\pi\) | |||||||
\(500\) | 10.3083 | + | 4.32891i | 0.461000 | + | 0.193595i | ||||
\(501\) | 32.6929 | + | 7.40125i | 1.46061 | + | 0.330663i | ||||
\(502\) | −2.51677 | − | 9.39273i | −0.112329 | − | 0.419218i | ||||
\(503\) | −3.72801 | + | 3.72801i | −0.166224 | + | 0.166224i | −0.785317 | − | 0.619094i | \(-0.787500\pi\) |
0.619094 | + | 0.785317i | \(0.287500\pi\) | |||||||
\(504\) | 7.92851 | + | 0.372438i | 0.353164 | + | 0.0165897i | ||||
\(505\) | −6.50182 | − | 7.11871i | −0.289327 | − | 0.316779i | ||||
\(506\) | 1.11527 | + | 0.643900i | 0.0495797 | + | 0.0286248i | ||||
\(507\) | −1.64888 | − | 2.61393i | −0.0732295 | − | 0.116089i | ||||
\(508\) | 4.05609 | − | 15.1375i | 0.179960 | − | 0.671620i | ||||
\(509\) | 4.53149 | − | 7.84877i | 0.200855 | − | 0.347891i | −0.747949 | − | 0.663756i | \(-0.768961\pi\) |
0.948804 | + | 0.315865i | \(0.102295\pi\) | |||||||
\(510\) | −2.60980 | + | 2.57818i | −0.115564 | + | 0.114164i | ||||
\(511\) | 27.9636 | + | 21.2082i | 1.23704 | + | 0.938195i | ||||
\(512\) | −0.707107 | − | 0.707107i | −0.0312500 | − | 0.0312500i | ||||
\(513\) | 10.0257 | − | 23.3152i | 0.442645 | − | 1.02939i | ||||
\(514\) | −5.44728 | + | 3.14499i | −0.240269 | + | 0.138719i | ||||
\(515\) | −13.7586 | − | 26.5354i | −0.606276 | − | 1.16929i | ||||
\(516\) | −14.0848 | + | 4.37183i | −0.620048 | + | 0.192459i | ||||
\(517\) | 15.8063 | − | 15.8063i | 0.695162 | − | 0.695162i | ||||
\(518\) | 3.57189 | − | 0.490720i | 0.156940 | − | 0.0215610i | ||||
\(519\) | −18.0688 | − | 16.7061i | −0.793131 | − | 0.733317i | ||||
\(520\) | −1.60892 | − | 7.31367i | −0.0705558 | − | 0.320726i | ||||
\(521\) | −28.4540 | + | 16.4279i | −1.24659 | + | 0.719721i | −0.970428 | − | 0.241389i | \(-0.922397\pi\) |
−0.276165 | + | 0.961110i | \(0.589064\pi\) | |||||||
\(522\) | 1.30484 | − | 7.03206i | 0.0571112 | − | 0.307785i | ||||
\(523\) | 11.2645 | − | 3.01831i | 0.492561 | − | 0.131981i | −0.00398437 | − | 0.999992i | \(-0.501268\pi\) |
0.496545 | + | 0.868011i | \(0.334602\pi\) | |||||||
\(524\) | 4.31407 | 0.188461 | ||||||||
\(525\) | −13.1030 | − | 18.7966i | −0.571860 | − | 0.820351i | ||||
\(526\) | −12.9960 | −0.566654 | ||||||||
\(527\) | 2.35462 | − | 0.630917i | 0.102569 | − | 0.0274832i | ||||
\(528\) | 5.51387 | + | 8.74099i | 0.239961 | + | 0.380403i | ||||
\(529\) | 19.8782 | − | 11.4767i | 0.864271 | − | 0.498987i | ||||
\(530\) | 2.97650 | + | 13.5303i | 0.129291 | + | 0.587719i | ||||
\(531\) | 12.1198 | − | 0.951296i | 0.525954 | − | 0.0412827i | ||||
\(532\) | −4.87797 | + | 11.9665i | −0.211487 | + | 0.518815i | ||||
\(533\) | 9.83891 | − | 9.83891i | 0.426170 | − | 0.426170i | ||||
\(534\) | −0.194000 | − | 0.625012i | −0.00839519 | − | 0.0270469i | ||||
\(535\) | 16.1972 | + | 31.2385i | 0.700264 | + | 1.35056i | ||||
\(536\) | −8.32300 | + | 4.80529i | −0.359499 | + | 0.207557i | ||||
\(537\) | 13.2688 | + | 6.98284i | 0.572592 | + | 0.301332i | ||||
\(538\) | −7.77555 | − | 7.77555i | −0.335228 | − | 0.335228i | ||||
\(539\) | 40.4635 | + | 10.3553i | 1.74288 | + | 0.446036i | ||||
\(540\) | −7.60146 | + | 8.78737i | −0.327115 | + | 0.378148i | ||||
\(541\) | −1.99471 | + | 3.45495i | −0.0857595 | + | 0.148540i | −0.905715 | − | 0.423888i | \(-0.860665\pi\) |
0.819955 | + | 0.572428i | \(0.193998\pi\) | |||||||
\(542\) | 4.96646 | − | 18.5351i | 0.213328 | − | 0.796150i | ||||
\(543\) | −17.1624 | + | 10.8262i | −0.736509 | + | 0.464595i | ||||
\(544\) | −0.820307 | − | 0.473605i | −0.0351704 | − | 0.0203056i | ||||
\(545\) | −15.9560 | − | 17.4699i | −0.683479 | − | 0.748328i | ||||
\(546\) | −5.23222 | + | 14.4275i | −0.223918 | + | 0.617440i | ||||
\(547\) | −9.65788 | + | 9.65788i | −0.412941 | + | 0.412941i | −0.882762 | − | 0.469821i | \(-0.844319\pi\) |
0.469821 | + | 0.882762i | \(0.344319\pi\) | |||||||
\(548\) | 2.10404 | + | 7.85237i | 0.0898800 | + | 0.335437i | ||||
\(549\) | 22.7636 | + | 33.1361i | 0.971526 | + | 1.41421i | ||||
\(550\) | 10.2950 | − | 28.0014i | 0.438980 | − | 1.19398i | ||||
\(551\) | 10.0842 | + | 5.82213i | 0.429602 | + | 0.248031i | ||||
\(552\) | −0.373538 | + | 0.0146372i | −0.0158988 | + | 0.000623001i | ||||
\(553\) | −2.10920 | + | 1.63739i | −0.0896923 | + | 0.0696290i | ||||
\(554\) | 1.72041 | 0.0730934 | ||||||||
\(555\) | −2.66673 | + | 4.55457i | −0.113196 | + | 0.193331i | ||||
\(556\) | −5.46209 | − | 9.46062i | −0.231644 | − | 0.401220i | ||||
\(557\) | 1.21720 | − | 4.54267i | 0.0515746 | − | 0.192479i | −0.935332 | − | 0.353771i | \(-0.884899\pi\) |
0.986907 | + | 0.161292i | \(0.0515660\pi\) | |||||||
\(558\) | 7.27831 | − | 2.57567i | 0.308115 | − | 0.109037i | ||||
\(559\) | − | 28.5152i | − | 1.20606i | ||||||
\(560\) | 3.78462 | − | 4.54716i | 0.159929 | − | 0.192153i | ||||
\(561\) | 7.18773 | + | 6.64567i | 0.303466 | + | 0.280580i | ||||
\(562\) | −4.58965 | − | 17.1288i | −0.193603 | − | 0.722536i | ||||
\(563\) | −25.7242 | − | 6.89278i | −1.08415 | − | 0.290496i | −0.327853 | − | 0.944729i | \(-0.606325\pi\) |
−0.756293 | + | 0.654233i | \(0.772992\pi\) | |||||||
\(564\) | −1.43273 | + | 6.32868i | −0.0603288 | + | 0.266485i | ||||
\(565\) | −15.6605 | − | 10.0127i | −0.658842 | − | 0.421238i | ||||
\(566\) | − | 16.6455i | − | 0.699665i | ||||||
\(567\) | 22.7956 | − | 6.88178i | 0.957327 | − | 0.289008i | ||||
\(568\) | 7.60399 | + | 7.60399i | 0.319057 | + | 0.319057i | ||||
\(569\) | 2.30517 | − | 3.99267i | 0.0966376 | − | 0.167381i | −0.813653 | − | 0.581350i | \(-0.802525\pi\) |
0.910291 | + | 0.413969i | \(0.135858\pi\) | |||||||
\(570\) | −9.35831 | − | 16.4397i | −0.391977 | − | 0.688582i | ||||
\(571\) | −2.42916 | − | 4.20743i | −0.101657 | − | 0.176075i | 0.810710 | − | 0.585447i | \(-0.199081\pi\) |
−0.912368 | + | 0.409372i | \(0.865748\pi\) | |||||||
\(572\) | −19.3018 | + | 5.17189i | −0.807047 | + | 0.216248i | ||||
\(573\) | 45.3084 | − | 1.77543i | 1.89279 | − | 0.0741695i | ||||
\(574\) | 10.9064 | + | 1.37344i | 0.455225 | + | 0.0573264i | ||||
\(575\) | 0.690963 | + | 0.828922i | 0.0288152 | + | 0.0345684i | ||||
\(576\) | −2.70749 | − | 1.29210i | −0.112812 | − | 0.0538375i | ||||
\(577\) | −13.0720 | − | 3.50264i | −0.544196 | − | 0.145817i | −0.0237602 | − | 0.999718i | \(-0.507564\pi\) |
−0.520436 | + | 0.853901i | \(0.674230\pi\) | |||||||
\(578\) | 15.5541 | + | 4.16771i | 0.646965 | + | 0.173354i | ||||
\(579\) | 10.9278 | + | 35.2062i | 0.454143 | + | 1.46312i | ||||
\(580\) | −3.59508 | − | 3.93618i | −0.149277 | − | 0.163441i | ||||
\(581\) | 11.3845 | + | 27.0530i | 0.472310 | + | 1.12235i | ||||
\(582\) | −0.328674 | − | 8.38770i | −0.0136240 | − | 0.347681i | ||||
\(583\) | 35.7083 | − | 9.56802i | 1.47889 | − | 0.396267i | ||||
\(584\) | −6.63257 | − | 11.4880i | −0.274458 | − | 0.475375i | ||||
\(585\) | −11.8700 | − | 19.0738i | −0.490763 | − | 0.788604i | ||||
\(586\) | −4.05653 | + | 7.02612i | −0.167574 | + | 0.290246i | ||||
\(587\) | 20.4866 | + | 20.4866i | 0.845574 | + | 0.845574i | 0.989577 | − | 0.144004i | \(-0.0459977\pi\) |
−0.144004 | + | 0.989577i | \(0.545998\pi\) | |||||||
\(588\) | −11.5382 | + | 3.72430i | −0.475827 | + | 0.153587i | ||||
\(589\) | 12.5698i | 0.517931i | ||||||||
\(590\) | 4.88108 | − | 7.63432i | 0.200951 | − | 0.314300i | ||||
\(591\) | −20.0597 | − | 4.54126i | −0.825146 | − | 0.186802i | ||||
\(592\) | −1.31630 | − | 0.352701i | −0.0540994 | − | 0.0144959i | ||||
\(593\) | −8.84754 | − | 33.0195i | −0.363325 | − | 1.35595i | −0.869678 | − | 0.493620i | \(-0.835673\pi\) |
0.506353 | − | 0.862326i | \(-0.330993\pi\) | |||||||
\(594\) | 24.3422 | + | 19.2022i | 0.998773 | + | 0.787877i | ||||
\(595\) | 2.34791 | − | 5.08817i | 0.0962549 | − | 0.208595i | ||||
\(596\) | 11.7229i | 0.480188i | ||||||||
\(597\) | −15.4132 | + | 29.2883i | −0.630821 | + | 1.19869i | ||||
\(598\) | 0.187075 | − | 0.698175i | 0.00765008 | − | 0.0285505i | ||||
\(599\) | −20.2161 | − | 35.0153i | −0.826006 | − | 1.43068i | −0.901148 | − | 0.433512i | \(-0.857274\pi\) |
0.0751420 | − | 0.997173i | \(-0.476059\pi\) | |||||||
\(600\) | 1.80907 | + | 8.46919i | 0.0738550 | + | 0.345753i | ||||
\(601\) | 20.3443 | 0.829861 | 0.414931 | − | 0.909853i | \(-0.363806\pi\) | ||||
0.414931 | + | 0.909853i | \(0.363806\pi\) | |||||||
\(602\) | 17.7948 | − | 13.8142i | 0.725260 | − | 0.563026i | ||||
\(603\) | −18.7293 | + | 21.9199i | −0.762716 | + | 0.892647i | ||||
\(604\) | 14.2764 | + | 8.24246i | 0.580897 | + | 0.335381i | ||||
\(605\) | −52.4398 | − | 16.6281i | −2.13198 | − | 0.676028i | ||||
\(606\) | 1.64891 | − | 7.28361i | 0.0669825 | − | 0.295876i | ||||
\(607\) | 11.9417 | + | 44.5671i | 0.484699 | + | 1.80892i | 0.581413 | + | 0.813609i | \(0.302500\pi\) |
−0.0967136 | + | 0.995312i | \(0.530833\pi\) | |||||||
\(608\) | 3.45370 | − | 3.45370i | 0.140066 | − | 0.140066i | ||||
\(609\) | 1.90960 | + | 10.7568i | 0.0773809 | + | 0.435889i | ||||
\(610\) | 29.9339 | + | 1.35575i | 1.21199 | + | 0.0548928i | ||||
\(611\) | −10.8655 | − | 6.27319i | −0.439570 | − | 0.253786i | ||||
\(612\) | −2.79394 | − | 0.518430i | −0.112938 | − | 0.0209563i | ||||
\(613\) | 3.99730 | − | 14.9181i | 0.161450 | − | 0.602538i | −0.837017 | − | 0.547177i | \(-0.815702\pi\) |
0.998466 | − | 0.0553608i | \(-0.0176309\pi\) | |||||||
\(614\) | 1.12009 | − | 1.94006i | 0.0452032 | − | 0.0782943i | ||||
\(615\) | −11.4475 | + | 11.3088i | −0.461608 | + | 0.456015i | ||||
\(616\) | −12.5783 | − | 9.53964i | −0.506793 | − | 0.384363i | ||||
\(617\) | 2.50025 | + | 2.50025i | 0.100656 | + | 0.100656i | 0.755642 | − | 0.654985i | \(-0.227325\pi\) |
−0.654985 | + | 0.755642i | \(0.727325\pi\) | |||||||
\(618\) | 10.7825 | − | 20.4889i | 0.433734 | − | 0.824183i | ||||
\(619\) | 4.86025 | − | 2.80606i | 0.195350 | − | 0.112785i | −0.399135 | − | 0.916892i | \(-0.630689\pi\) |
0.594485 | + | 0.804107i | \(0.297356\pi\) | |||||||
\(620\) | 1.73937 | − | 5.48544i | 0.0698548 | − | 0.220301i | ||||
\(621\) | −1.04177 | + | 0.415244i | −0.0418047 | + | 0.0166632i | ||||
\(622\) | 4.24964 | − | 4.24964i | 0.170395 | − | 0.170395i | ||||
\(623\) | 0.613006 | + | 0.789641i | 0.0245596 | + | 0.0316363i | ||||
\(624\) | 3.93790 | − | 4.25910i | 0.157642 | − | 0.170501i | ||||
\(625\) | 16.1940 | − | 19.0461i | 0.647761 | − | 0.761844i | ||||
\(626\) | −2.78376 | + | 1.60721i | −0.111261 | + | 0.0642369i | ||||
\(627\) | −42.6933 | + | 26.9312i | −1.70501 | + | 1.07553i | ||||
\(628\) | 2.43060 | − | 0.651278i | 0.0969916 | − | 0.0259888i | ||||
\(629\) | −1.29079 | −0.0514672 | ||||||||
\(630\) | 6.15247 | − | 16.6477i | 0.245120 | − | 0.663262i | ||||
\(631\) | 20.0318 | 0.797455 | 0.398727 | − | 0.917069i | \(-0.369452\pi\) | ||||
0.398727 | + | 0.917069i | \(0.369452\pi\) | |||||||
\(632\) | 0.974838 | − | 0.261207i | 0.0387770 | − | 0.0103903i | ||||
\(633\) | −9.45269 | + | 5.96282i | −0.375711 | + | 0.237001i | ||||
\(634\) | −0.681432 | + | 0.393425i | −0.0270631 | + | 0.0156249i | ||||
\(635\) | −29.5240 | − | 18.8765i | −1.17162 | − | 0.749090i | ||||
\(636\) | −7.28513 | + | 7.87935i | −0.288874 | + | 0.312437i | ||||
\(637\) | −0.263923 | − | 23.4414i | −0.0104570 | − | 0.928781i | ||||
\(638\) | −10.0586 | + | 10.0586i | −0.398224 | + | 0.398224i | ||||
\(639\) | 29.1154 | + | 13.8948i | 1.15179 | + | 0.549671i | ||||
\(640\) | −1.98509 | + | 1.02927i | −0.0784677 | + | 0.0406856i | ||||
\(641\) | −32.1479 | + | 18.5606i | −1.26977 | + | 0.733100i | −0.974944 | − | 0.222452i | \(-0.928594\pi\) |
−0.294823 | + | 0.955552i | \(0.595261\pi\) | |||||||
\(642\) | −12.6935 | + | 24.1203i | −0.500973 | + | 0.951952i | ||||
\(643\) | −7.70403 | − | 7.70403i | −0.303817 | − | 0.303817i | 0.538688 | − | 0.842505i | \(-0.318920\pi\) |
−0.842505 | + | 0.538688i | \(0.818920\pi\) | |||||||
\(644\) | 0.526322 | − | 0.221489i | 0.0207400 | − | 0.00872788i | ||||
\(645\) | −0.201003 | + | 32.9762i | −0.00791450 | + | 1.29844i | ||||
\(646\) | 2.31321 | − | 4.00660i | 0.0910121 | − | 0.157638i | ||||
\(647\) | 6.17291 | − | 23.0376i | 0.242682 | − | 0.905702i | −0.731852 | − | 0.681464i | \(-0.761344\pi\) |
0.974534 | − | 0.224239i | \(-0.0719895\pi\) | |||||||
\(648\) | −8.95030 | − | 0.944502i | −0.351601 | − | 0.0371035i | ||||
\(649\) | −20.9401 | − | 12.0898i | −0.821970 | − | 0.474565i | ||||
\(650\) | −16.6763 | − | 1.51370i | −0.654100 | − | 0.0593722i | ||||
\(651\) | −9.02548 | + | 7.59115i | −0.353736 | + | 0.297521i | ||||
\(652\) | −3.56181 | + | 3.56181i | −0.139491 | + | 0.139491i | ||||
\(653\) | 5.34683 | + | 19.9547i | 0.209238 | + | 0.780886i | 0.988116 | + | 0.153711i | \(0.0491224\pi\) |
−0.778878 | + | 0.627175i | \(0.784211\pi\) | |||||||
\(654\) | 4.04656 | − | 17.8745i | 0.158233 | − | 0.698950i | ||||
\(655\) | 2.91574 | − | 9.19535i | 0.113928 | − | 0.359292i | ||||
\(656\) | −3.59815 | − | 2.07740i | −0.140484 | − | 0.0811087i | ||||
\(657\) | −30.2553 | − | 25.8514i | −1.18037 | − | 1.00856i | ||||
\(658\) | −1.34905 | − | 9.81961i | −0.0525916 | − | 0.382808i | ||||
\(659\) | −15.8694 | −0.618184 | −0.309092 | − | 0.951032i | \(-0.600025\pi\) | ||||
−0.309092 | + | 0.951032i | \(0.600025\pi\) | |||||||
\(660\) | 22.3579 | − | 5.84495i | 0.870279 | − | 0.227514i | ||||
\(661\) | −2.27276 | − | 3.93654i | −0.0884003 | − | 0.153114i | 0.818435 | − | 0.574599i | \(-0.194842\pi\) |
−0.906835 | + | 0.421486i | \(0.861509\pi\) | |||||||
\(662\) | −5.58454 | + | 20.8418i | −0.217049 | + | 0.810039i | ||||
\(663\) | 2.55878 | − | 4.86220i | 0.0993746 | − | 0.188832i | ||||
\(664\) | − | 11.0936i | − | 0.430514i | ||||||
\(665\) | 22.2096 | + | 18.4851i | 0.861250 | + | 0.716821i | ||||
\(666\) | −4.07565 | + | 0.319903i | −0.157928 | + | 0.0123960i | ||||
\(667\) | −0.133173 | − | 0.497008i | −0.00515648 | − | 0.0192442i | ||||
\(668\) | 18.6935 | + | 5.00890i | 0.723272 | + | 0.193800i | ||||
\(669\) | −15.6264 | − | 3.53760i | −0.604150 | − | 0.136772i | ||||
\(670\) | 4.61712 | + | 20.9880i | 0.178375 | + | 0.810839i | ||||
\(671\) | − | 79.9584i | − | 3.08676i | ||||||
\(672\) | 4.56560 | + | 0.394096i | 0.176122 | + | 0.0152026i | ||||
\(673\) | −8.60027 | − | 8.60027i | −0.331516 | − | 0.331516i | 0.521646 | − | 0.853162i | \(-0.325318\pi\) |
−0.853162 | + | 0.521646i | \(0.825318\pi\) | |||||||
\(674\) | −0.772535 | + | 1.33807i | −0.0297570 | + | 0.0515405i | ||||
\(675\) | 13.5925 | + | 22.1414i | 0.523176 | + | 0.852225i | ||||
\(676\) | −0.892162 | − | 1.54527i | −0.0343139 | − | 0.0594335i | ||||
\(677\) | 37.4764 | − | 10.0418i | 1.44033 | − | 0.385936i | 0.547683 | − | 0.836686i | \(-0.315510\pi\) |
0.892650 | + | 0.450750i | \(0.148843\pi\) | |||||||
\(678\) | −0.563759 | − | 14.3870i | −0.0216510 | − | 0.552529i | ||||
\(679\) | 4.97347 | + | 11.8184i | 0.190864 | + | 0.453549i | ||||
\(680\) | −1.56390 | + | 1.42837i | −0.0599727 | + | 0.0547756i | ||||
\(681\) | 5.04364 | + | 16.2492i | 0.193273 | + | 0.622670i | ||||
\(682\) | −14.8325 | − | 3.97436i | −0.567966 | − | 0.152186i | ||||
\(683\) | 9.11142 | + | 2.44140i | 0.348639 | + | 0.0934175i | 0.428889 | − | 0.903357i | \(-0.358905\pi\) |
−0.0802500 | + | 0.996775i | \(0.525572\pi\) | |||||||
\(684\) | 6.31096 | − | 13.2241i | 0.241306 | − | 0.505636i | ||||
\(685\) | 18.1592 | + | 0.822459i | 0.693828 | + | 0.0314245i | ||||
\(686\) | 14.5006 | − | 11.5209i | 0.553636 | − | 0.439871i | ||||
\(687\) | 15.7396 | − | 0.616760i | 0.600502 | − | 0.0235309i | ||||
\(688\) | −8.22445 | + | 2.20373i | −0.313554 | + | 0.0840166i | ||||
\(689\) | −10.3745 | − | 17.9692i | −0.395238 | − | 0.684571i | ||||
\(690\) | −0.221264 | + | 0.806082i | −0.00842337 | + | 0.0306870i | ||||
\(691\) | −5.48550 | + | 9.50117i | −0.208678 | + | 0.361441i | −0.951298 | − | 0.308271i | \(-0.900250\pi\) |
0.742620 | + | 0.669713i | \(0.233583\pi\) | |||||||
\(692\) | −10.0464 | − | 10.0464i | −0.381905 | − | 0.381905i | ||||
\(693\) | −45.1206 | − | 14.3907i | −1.71399 | − | 0.546657i | ||||
\(694\) | − | 16.1618i | − | 0.613495i | ||||||
\(695\) | −23.8568 | + | 5.24820i | −0.904939 | + | 0.199076i | ||||
\(696\) | 0.911740 | − | 4.02735i | 0.0345594 | − | 0.152656i | ||||
\(697\) | −3.80136 | − | 1.01857i | −0.143987 | − | 0.0385811i | ||||
\(698\) | 6.10064 | + | 22.7679i | 0.230913 | + | 0.861778i | ||||
\(699\) | 23.7882 | + | 21.9942i | 0.899751 | + | 0.831896i | ||||
\(700\) | −7.13428 | − | 11.1401i | −0.269650 | − | 0.421057i | ||||
\(701\) | − | 10.6209i | − | 0.401147i | −0.979679 | − | 0.200574i | \(-0.935719\pi\) | ||
0.979679 | − | 0.200574i | \(-0.0642806\pi\) | |||||||
\(702\) | 6.87428 | − | 15.9865i | 0.259453 | − | 0.603371i | ||||
\(703\) | 1.72268 | − | 6.42914i | 0.0649723 | − | 0.242480i | ||||
\(704\) | 2.98339 | + | 5.16739i | 0.112441 | + | 0.194753i | ||||
\(705\) | 12.5211 | + | 7.33118i | 0.471572 | + | 0.276108i | ||||
\(706\) | 27.0532 | 1.01816 | ||||||||
\(707\) | 1.55261 | + | 11.3013i | 0.0583919 | + | 0.425028i | ||||
\(708\) | 7.01350 | − | 0.274826i | 0.263583 | − | 0.0103286i | ||||
\(709\) | 8.79213 | + | 5.07614i | 0.330196 | + | 0.190638i | 0.655928 | − | 0.754824i | \(-0.272278\pi\) |
−0.325732 | + | 0.945462i | \(0.605611\pi\) | |||||||
\(710\) | 21.3471 | − | 11.0685i | 0.801141 | − | 0.415392i | ||||
\(711\) | 2.49555 | − | 1.71437i | 0.0935904 | − | 0.0642941i | ||||
\(712\) | −0.0977906 | − | 0.364960i | −0.00366486 | − | 0.0136774i | ||||
\(713\) | 0.392756 | − | 0.392756i | 0.0147088 | − | 0.0147088i | ||||
\(714\) | 4.27384 | − | 0.758711i | 0.159944 | − | 0.0283940i | ||||
\(715\) | −2.02167 | + | 44.6368i | −0.0756062 | + | 1.66932i | ||||
\(716\) | 7.49703 | + | 4.32841i | 0.280177 | + | 0.161760i | ||||
\(717\) | 13.0042 | − | 8.20312i | 0.485650 | − | 0.306351i | ||||
\(718\) | 1.85962 | − | 6.94018i | 0.0694002 | − | 0.259005i | ||||
\(719\) | −14.4032 | + | 24.9471i | −0.537150 | + | 0.930370i | 0.461906 | + | 0.886929i | \(0.347166\pi\) |
−0.999056 | + | 0.0434417i | \(0.986168\pi\) | |||||||
\(720\) | −4.58399 | + | 4.89766i | −0.170835 | + | 0.182525i | ||||
\(721\) | −4.41881 | + | 35.0894i | −0.164565 | + | 1.30680i | ||||
\(722\) | 3.43376 | + | 3.43376i | 0.127791 | + | 0.127791i | ||||
\(723\) | 6.32525 | + | 3.32872i | 0.235239 | + | 0.123796i | ||||
\(724\) | −10.1459 | + | 5.85771i | −0.377068 | + | 0.217700i | ||||
\(725\) | −10.8197 | + | 5.00249i | −0.401833 | + | 0.185788i | ||||
\(726\) | −12.6322 | − | 40.6975i | −0.468826 | − | 1.51042i | ||||
\(727\) | 0.151969 | − | 0.151969i | 0.00563622 | − | 0.00563622i | −0.704283 | − | 0.709919i | \(-0.748731\pi\) |
0.709919 | + | 0.704283i | \(0.248731\pi\) | |||||||
\(728\) | −3.34466 | + | 8.20506i | −0.123961 | + | 0.304100i | ||||
\(729\) | −26.2579 | + | 6.28654i | −0.972516 | + | 0.232835i | ||||
\(730\) | −28.9691 | + | 6.37285i | −1.07219 | + | 0.235870i | ||||
\(731\) | −6.98457 | + | 4.03254i | −0.258334 | + | 0.149149i | ||||
\(732\) | 12.3834 | + | 19.6311i | 0.457704 | + | 0.725584i | ||||
\(733\) | −33.0589 | + | 8.85810i | −1.22106 | + | 0.327181i | −0.811091 | − | 0.584919i | \(-0.801126\pi\) |
−0.409966 | + | 0.912101i | \(0.634459\pi\) | |||||||
\(734\) | −14.9359 | −0.551296 | ||||||||
\(735\) | 0.139974 | + | 27.1105i | 0.00516301 | + | 0.999987i | ||||
\(736\) | −0.215828 | −0.00795552 | ||||||||
\(737\) | 55.3903 | − | 14.8418i | 2.04033 | − | 0.546704i | ||||
\(738\) | −12.2552 | − | 2.27402i | −0.451119 | − | 0.0837077i | ||||
\(739\) | 28.3705 | − | 16.3797i | 1.04362 | − | 0.602537i | 0.122767 | − | 0.992436i | \(-0.460823\pi\) |
0.920858 | + | 0.389899i | \(0.127490\pi\) | |||||||
\(740\) | −1.64142 | + | 2.56728i | −0.0603397 | + | 0.0943750i | ||||
\(741\) | 20.8026 | + | 19.2338i | 0.764203 | + | 0.706570i | ||||
\(742\) | 6.18763 | − | 15.1794i | 0.227155 | − | 0.557253i | ||||
\(743\) | 0.701038 | − | 0.701038i | 0.0257186 | − | 0.0257186i | −0.694131 | − | 0.719849i | \(-0.744211\pi\) |
0.719849 | + | 0.694131i | \(0.244211\pi\) | |||||||
\(744\) | 4.25714 | − | 1.32139i | 0.156074 | − | 0.0484444i | ||||
\(745\) | 24.9871 | + | 7.92313i | 0.915456 | + | 0.290281i | ||||
\(746\) | 6.76422 | − | 3.90532i | 0.247656 | − | 0.142984i | ||||
\(747\) | −11.1028 | − | 31.3741i | −0.406229 | − | 1.14792i | ||||
\(748\) | 3.99642 | + | 3.99642i | 0.146124 | + | 0.146124i | ||||
\(749\) | 5.20199 | − | 41.3086i | 0.190077 | − | 1.50938i | ||||
\(750\) | 19.2746 | + | 1.86806i | 0.703809 | + | 0.0682120i | ||||
\(751\) | −0.934185 | + | 1.61806i | −0.0340889 | + | 0.0590437i | −0.882567 | − | 0.470188i | \(-0.844186\pi\) |
0.848478 | + | 0.529231i | \(0.177520\pi\) | |||||||
\(752\) | −0.969620 | + | 3.61867i | −0.0353584 | + | 0.131959i | ||||
\(753\) | −8.98595 | − | 14.2452i | −0.327466 | − | 0.519123i | ||||
\(754\) | 6.91442 | + | 3.99204i | 0.251808 | + | 0.145382i | ||||
\(755\) | 27.2176 | − | 24.8589i | 0.990548 | − | 0.904709i | ||||
\(756\) | 13.3065 | − | 3.45482i | 0.483954 | − | 0.125651i | ||||
\(757\) | 15.1882 | − | 15.1882i | 0.552024 | − | 0.552024i | −0.375001 | − | 0.927025i | \(-0.622358\pi\) |
0.927025 | + | 0.375001i | \(0.122358\pi\) | |||||||
\(758\) | 4.45947 | + | 16.6430i | 0.161975 | + | 0.604500i | ||||
\(759\) | 2.17548 | + | 0.492501i | 0.0789650 | + | 0.0178766i | ||||
\(760\) | −5.02724 | − | 9.69573i | −0.182357 | − | 0.351701i | ||||
\(761\) | 43.5861 | + | 25.1645i | 1.58000 | + | 0.912211i | 0.994858 | + | 0.101277i | \(0.0322929\pi\) |
0.585138 | + | 0.810934i | \(0.301040\pi\) | |||||||
\(762\) | −1.06283 | − | 27.1231i | −0.0385022 | − | 0.982566i | ||||
\(763\) | 3.81023 | + | 27.7342i | 0.137940 | + | 1.00405i | ||||
\(764\) | 26.1789 | 0.947120 | ||||||||
\(765\) | −2.99336 | + | 5.60482i | −0.108225 | + | 0.202643i | ||||
\(766\) | −2.73278 | − | 4.73332i | −0.0987395 | − | 0.171022i | ||||
\(767\) | −3.51250 | + | 13.1088i | −0.126829 | + | 0.473332i | ||||
\(768\) | −1.53276 | − | 0.806628i | −0.0553087 | − | 0.0291067i | ||||
\(769\) | 5.32307i | 0.191955i | 0.995384 | + | 0.0959775i | \(0.0305977\pi\) | ||||
−0.995384 | + | 0.0959775i | \(0.969402\pi\) | |||||||
\(770\) | −28.8348 | + | 20.3628i | −1.03913 | + | 0.733824i | ||||
\(771\) | −7.39607 | + | 7.99934i | −0.266363 | + | 0.288089i | ||||
\(772\) | 5.50843 | + | 20.5578i | 0.198253 | + | 0.739890i | ||||
\(773\) | 18.9649 | + | 5.08164i | 0.682121 | + | 0.182774i | 0.583209 | − | 0.812322i | \(-0.301797\pi\) |
0.0989124 | + | 0.995096i | \(0.468464\pi\) | |||||||
\(774\) | −21.0543 | + | 14.4637i | −0.756781 | + | 0.519888i | ||||
\(775\) | −10.5165 | − | 7.41487i | −0.377764 | − | 0.266350i | ||||
\(776\) | − | 4.84635i | − | 0.173974i | ||||||
\(777\) | 5.65666 | − | 2.64574i | 0.202931 | − | 0.0949155i | ||||
\(778\) | 3.30102 | + | 3.30102i | 0.118347 | + | 0.118347i | ||||
\(779\) | 10.1466 | − | 17.5744i | 0.363538 | − | 0.629667i | ||||
\(780\) | −6.41669 | − | 11.2721i | −0.229754 | − | 0.403608i | ||||
\(781\) | −32.0824 | − | 55.5684i | −1.14800 | − | 1.98839i | ||||
\(782\) | −0.197468 | + | 0.0529115i | −0.00706145 | + | 0.00189211i | ||||
\(783\) | −1.45217 | − | 12.3024i | −0.0518963 | − | 0.439652i | ||||
\(784\) | −6.74066 | + | 1.88774i | −0.240738 | + | 0.0674193i | ||||
\(785\) | 0.254582 | − | 5.62096i | 0.00908641 | − | 0.200620i | ||||
\(786\) | 7.13632 | − | 2.21507i | 0.254544 | − | 0.0790089i | ||||
\(787\) | 21.4421 | + | 5.74540i | 0.764329 | + | 0.204801i | 0.619865 | − | 0.784709i | \(-0.287187\pi\) |
0.144464 | + | 0.989510i | \(0.453854\pi\) | |||||||
\(788\) | −11.4699 | − | 3.07336i | −0.408600 | − | 0.109484i | ||||
\(789\) | −21.4980 | + | 6.67284i | −0.765349 | + | 0.237559i | ||||
\(790\) | 0.102105 | − | 2.25439i | 0.00363272 | − | 0.0802075i | ||||
\(791\) | 8.53074 | + | 20.2715i | 0.303318 | + | 0.720772i | ||||
\(792\) | 13.6091 | + | 11.6282i | 0.483579 | + | 0.413190i | ||||
\(793\) | −43.3491 | + | 11.6154i | −1.53937 | + | 0.412473i | ||||
\(794\) | 0.0255118 | + | 0.0441877i | 0.000905379 | + | 0.00156816i | ||||
\(795\) | 11.8709 | + | 20.8535i | 0.421017 | + | 0.739597i | ||||
\(796\) | −9.55411 | + | 16.5482i | −0.338636 | + | 0.586535i | ||||
\(797\) | −0.507697 | − | 0.507697i | −0.0179836 | − | 0.0179836i | 0.698058 | − | 0.716041i | \(-0.254048\pi\) |
−0.716041 | + | 0.698058i | \(0.754048\pi\) | |||||||
\(798\) | −1.92487 | + | 22.2996i | −0.0681397 | + | 0.789398i | ||||
\(799\) | 3.54855i | 0.125539i | ||||||||
\(800\) | 0.852210 | + | 4.92684i | 0.0301302 | + | 0.174190i | ||||
\(801\) | −0.641827 | − | 0.934283i | −0.0226778 | − | 0.0330113i | ||||
\(802\) | 0.0618130 | + | 0.0165627i | 0.00218269 | + | 0.000584851i | ||||
\(803\) | 20.4856 | + | 76.4533i | 0.722921 | + | 2.69798i | ||||
\(804\) | −11.3006 | + | 12.2224i | −0.398541 | + | 0.431049i | ||||
\(805\) | −0.116375 | − | 1.27154i | −0.00410167 | − | 0.0448159i | ||||
\(806\) | 8.61873i | 0.303582i | ||||||||
\(807\) | −16.8547 | − | 8.86991i | −0.593312 | − | 0.312236i | ||||
\(808\) | 1.11593 | − | 4.16469i | 0.0392581 | − | 0.146513i | ||||
\(809\) | 22.9981 | + | 39.8339i | 0.808571 | + | 1.40049i | 0.913854 | + | 0.406044i | \(0.133092\pi\) |
−0.105283 | + | 0.994442i | \(0.533575\pi\) | |||||||
\(810\) | −8.06241 | + | 18.4390i | −0.283284 | + | 0.647881i | ||||
\(811\) | −45.3779 | −1.59343 | −0.796717 | − | 0.604352i | \(-0.793432\pi\) | ||||
−0.796717 | + | 0.604352i | \(0.793432\pi\) | |||||||
\(812\) | 0.858491 | + | 6.24886i | 0.0301271 | + | 0.219292i | ||||
\(813\) | −1.30137 | − | 33.2107i | −0.0456411 | − | 1.16475i | ||||
\(814\) | 7.04176 | + | 4.06556i | 0.246813 | + | 0.142498i | ||||
\(815\) | 5.18461 | + | 9.99924i | 0.181609 | + | 0.350258i | ||||
\(816\) | −1.60012 | − | 0.362247i | −0.0560155 | − | 0.0126812i | ||||
\(817\) | −10.7636 | − | 40.1704i | −0.376572 | − | 1.40539i | ||||
\(818\) | 24.1899 | − | 24.1899i | 0.845781 | − | 0.845781i | ||||
\(819\) | −1.24729 | + | 26.5524i | −0.0435837 | + | 0.927817i | ||||
\(820\) | −6.85980 | + | 6.26535i | −0.239555 | + | 0.218795i | ||||
\(821\) | −33.3434 | − | 19.2508i | −1.16369 | − | 0.671859i | −0.211508 | − | 0.977376i | \(-0.567837\pi\) |
−0.952187 | + | 0.305517i | \(0.901171\pi\) | |||||||
\(822\) | 7.51231 | + | 11.9091i | 0.262022 | + | 0.415376i | ||||
\(823\) | 0.785245 | − | 2.93058i | 0.0273719 | − | 0.102153i | −0.950888 | − | 0.309534i | \(-0.899827\pi\) |
0.978260 | + | 0.207380i | \(0.0664937\pi\) | |||||||
\(824\) | 6.68365 | − | 11.5764i | 0.232836 | − | 0.403284i | ||||
\(825\) | 2.65259 | − | 51.6058i | 0.0923515 | − | 1.79668i | ||||
\(826\) | −9.88214 | + | 4.15864i | −0.343844 | + | 0.144698i | ||||
\(827\) | −30.2271 | − | 30.2271i | −1.05110 | − | 1.05110i | −0.998622 | − | 0.0524756i | \(-0.983289\pi\) |
−0.0524756 | − | 0.998622i | \(-0.516711\pi\) | |||||||
\(828\) | −0.610390 | + | 0.216007i | −0.0212125 | + | 0.00750676i | ||||
\(829\) | −46.3527 | + | 26.7617i | −1.60990 | + | 0.929473i | −0.620503 | + | 0.784204i | \(0.713072\pi\) |
−0.989392 | + | 0.145270i | \(0.953595\pi\) | |||||||
\(830\) | −23.6457 | − | 7.49779i | −0.820755 | − | 0.260252i | ||||
\(831\) | 2.84590 | − | 0.883350i | 0.0987233 | − | 0.0306431i | ||||
\(832\) | 2.36809 | − | 2.36809i | 0.0820987 | − | 0.0820987i | ||||
\(833\) | −5.70446 | + | 3.37967i | −0.197648 | + | 0.117099i | ||||
\(834\) | −13.8930 | − | 12.8452i | −0.481074 | − | 0.444793i | ||||
\(835\) | 23.3107 | − | 36.4594i | 0.806700 | − | 1.26173i | ||||
\(836\) | −25.2389 | + | 14.5717i | −0.872906 | + | 0.503973i | ||||
\(837\) | 10.7173 | − | 7.99773i | 0.370443 | − | 0.276442i | ||||
\(838\) | −17.5706 | + | 4.70802i | −0.606965 | + | 0.162636i | ||||
\(839\) | −9.47997 | −0.327285 | −0.163643 | − | 0.986520i | \(-0.552324\pi\) | ||||
−0.163643 | + | 0.986520i | \(0.552324\pi\) | |||||||
\(840\) | 3.92575 | − | 9.46512i | 0.135451 | − | 0.326578i | ||||
\(841\) | −23.3164 | −0.804013 | ||||||||
\(842\) | −1.94468 | + | 0.521075i | −0.0670181 | + | 0.0179574i | ||||
\(843\) | −16.3870 | − | 25.9779i | −0.564399 | − | 0.894726i | ||||
\(844\) | −5.58813 | + | 3.22631i | −0.192351 | + | 0.111054i | ||||
\(845\) | −3.89669 | + | 0.857226i | −0.134050 | + | 0.0294895i | ||||
\(846\) | 0.879455 | + | 11.2045i | 0.0302363 | + | 0.385219i | ||||
\(847\) | 39.9157 | + | 51.4173i | 1.37152 | + | 1.76672i | ||||
\(848\) | −4.38097 | + | 4.38097i | −0.150443 | + | 0.150443i | ||||
\(849\) | −8.54669 | − | 27.5350i | −0.293322 | − | 0.944999i | ||||
\(850\) | 1.98756 | + | 4.29881i | 0.0681727 | + | 0.147448i | ||||
\(851\) | −0.254711 | + | 0.147058i | −0.00873139 | + | 0.00504107i | ||||
\(852\) | 16.4828 | + | 8.67422i | 0.564691 | + | 0.297174i | ||||
\(853\) | 22.4380 | + | 22.4380i | 0.768262 | + | 0.768262i | 0.977800 | − | 0.209539i | \(-0.0671962\pi\) |
−0.209539 | + | 0.977800i | \(0.567196\pi\) | |||||||
\(854\) | −28.2491 | − | 21.4247i | −0.966664 | − | 0.733139i | ||||
\(855\) | −23.9215 | − | 22.3894i | −0.818097 | − | 0.765702i | ||||
\(856\) | −7.86826 | + | 13.6282i | −0.268931 | + | 0.465803i | ||||
\(857\) | −11.2662 | + | 42.0461i | −0.384846 | + | 1.43627i | 0.453562 | + | 0.891225i | \(0.350153\pi\) |
−0.838409 | + | 0.545042i | \(0.816514\pi\) | |||||||
\(858\) | −29.2734 | + | 18.4659i | −0.999377 | + | 0.630414i | ||||
\(859\) | −30.1458 | − | 17.4047i | −1.02856 | − | 0.593841i | −0.111990 | − | 0.993709i | \(-0.535723\pi\) |
−0.916573 | + | 0.399868i | \(0.869056\pi\) | |||||||
\(860\) | −0.861430 | + | 19.0197i | −0.0293745 | + | 0.648566i | ||||
\(861\) | 18.7465 | − | 3.32797i | 0.638880 | − | 0.113417i | ||||
\(862\) | −28.8843 | + | 28.8843i | −0.983804 | + | 0.983804i | ||||
\(863\) | −4.47160 | − | 16.6883i | −0.152215 | − | 0.568075i | −0.999328 | − | 0.0366613i | \(-0.988328\pi\) |
0.847113 | − | 0.531413i | \(-0.178339\pi\) | |||||||
\(864\) | −5.14215 | − | 0.747224i | −0.174939 | − | 0.0254211i | ||||
\(865\) | −28.2036 | + | 14.6236i | −0.958951 | + | 0.497217i | ||||
\(866\) | 8.66531 | + | 5.00292i | 0.294459 | + | 0.170006i | ||||
\(867\) | 27.8695 | − | 1.09207i | 0.946497 | − | 0.0370888i | ||||
\(868\) | −5.37848 | + | 4.17536i | −0.182557 | + | 0.141721i | ||||
\(869\) | −6.02184 | −0.204277 | ||||||||
\(870\) | −7.96800 | − | 4.66531i | −0.270141 | − | 0.158169i | ||||
\(871\) | −16.0928 | − | 27.8736i | −0.545284 | − | 0.944460i | ||||
\(872\) | 2.73857 | − | 10.2205i | 0.0927397 | − | 0.346109i | ||||
\(873\) | −4.85037 | − | 13.7061i | −0.164160 | − | 0.463883i | ||||
\(874\) | − | 1.05416i | − | 0.0356575i | ||||||
\(875\) | −28.5667 | + | 7.67731i | −0.965732 | + | 0.259541i | ||||
\(876\) | −16.8701 | − | 15.5978i | −0.569988 | − | 0.527002i | ||||
\(877\) | −2.05735 | − | 7.67812i | −0.0694717 | − | 0.259272i | 0.922451 | − | 0.386113i | \(-0.126183\pi\) |
−0.991923 | + | 0.126842i | \(0.959516\pi\) | |||||||
\(878\) | −17.5331 | − | 4.69797i | −0.591712 | − | 0.158549i | ||||
\(879\) | −3.10273 | + | 13.7054i | −0.104652 | + | 0.462272i | ||||
\(880\) | 13.0306 | − | 2.86657i | 0.439260 | − | 0.0966319i | ||||
\(881\) | 5.56368i | 0.187445i | 0.995598 | + | 0.0937226i | \(0.0298767\pi\) | ||||
−0.995598 | + | 0.0937226i | \(0.970123\pi\) | |||||||
\(882\) | −17.1742 | + | 12.0850i | −0.578284 | + | 0.406924i | ||||
\(883\) | 4.84514 | + | 4.84514i | 0.163052 | + | 0.163052i | 0.783917 | − | 0.620865i | \(-0.213219\pi\) |
−0.620865 | + | 0.783917i | \(0.713219\pi\) | |||||||
\(884\) | 1.58609 | − | 2.74719i | 0.0533461 | − | 0.0923981i | ||||
\(885\) | 4.15441 | − | 15.1349i | 0.139649 | − | 0.508753i | ||||
\(886\) | 4.15831 | + | 7.20240i | 0.139701 | + | 0.241969i | ||||
\(887\) | −2.94804 | + | 0.789926i | −0.0989856 | + | 0.0265231i | −0.307972 | − | 0.951395i | \(-0.599650\pi\) |
0.208986 | + | 0.977919i | \(0.432984\pi\) | |||||||
\(888\) | −2.35851 | + | 0.0924189i | −0.0791463 | + | 0.00310137i | ||||
\(889\) | 16.0826 | + | 38.2169i | 0.539393 | + | 1.28175i | ||||
\(890\) | −0.843997 | − | 0.0382259i | −0.0282909 | − | 0.00128134i | ||||
\(891\) | 50.1262 | + | 19.2657i | 1.67929 | + | 0.645426i | ||||
\(892\) | −8.93499 | − | 2.39412i | −0.299166 | − | 0.0801612i | ||||
\(893\) | −17.6746 | − | 4.73589i | −0.591457 | − | 0.158480i | ||||
\(894\) | 6.01914 | + | 19.3920i | 0.201310 | + | 0.648564i | ||||
\(895\) | 14.2929 | − | 13.0543i | 0.477759 | − | 0.436358i | ||||
\(896\) | 2.62502 | + | 0.330568i | 0.0876957 | + | 0.0110435i | ||||
\(897\) | −0.0490198 | − | 1.25097i | −0.00163672 | − | 0.0417688i | ||||
\(898\) | 12.0567 | − | 3.23058i | 0.402336 | − | 0.107806i | ||||
\(899\) | 3.06770 | + | 5.31341i | 0.102313 | + | 0.177212i | ||||
\(900\) | 7.34109 | + | 13.0808i | 0.244703 | + | 0.436028i | ||||
\(901\) | −2.93428 | + | 5.08232i | −0.0977549 | + | 0.169316i | ||||
\(902\) | 17.5297 | + | 17.5297i | 0.583676 | + | 0.583676i | ||||
\(903\) | 22.3431 | − | 31.9882i | 0.743531 | − | 1.06450i | ||||
\(904\) | − | 8.31271i | − | 0.276476i | ||||||
\(905\) | 5.62833 | + | 25.5847i | 0.187092 | + | 0.850465i | ||||
\(906\) | 27.8480 | + | 6.30442i | 0.925188 | + | 0.209450i | ||||
\(907\) | 33.6250 | + | 9.00978i | 1.11650 | + | 0.299165i | 0.769466 | − | 0.638688i | \(-0.220523\pi\) |
0.347033 | + | 0.937853i | \(0.387189\pi\) | |||||||
\(908\) | 2.54238 | + | 9.48829i | 0.0843718 | + | 0.314880i | ||||
\(909\) | −1.01216 | − | 12.8952i | −0.0335711 | − | 0.427705i | ||||
\(910\) | 15.2284 | + | 12.6746i | 0.504815 | + | 0.420159i | ||||
\(911\) | − | 13.5125i | − | 0.447688i | −0.974625 | − | 0.223844i | \(-0.928139\pi\) | ||
0.974625 | − | 0.223844i | \(-0.0718605\pi\) | |||||||
\(912\) | 3.93979 | − | 7.48641i | 0.130459 | − | 0.247900i | ||||
\(913\) | −17.1320 | + | 63.9375i | −0.566987 | + | 2.11602i | ||||
\(914\) | 15.8181 | + | 27.3977i | 0.523216 | + | 0.906236i | ||||
\(915\) | 50.2127 | − | 13.1269i | 1.65998 | − | 0.433964i | ||||
\(916\) | 9.09422 | 0.300482 | ||||||||
\(917\) | −9.01605 | + | 6.99924i | −0.297736 | + | 0.231135i | ||||
\(918\) | −4.88791 | + | 0.576966i | −0.161325 | + | 0.0190427i | ||||
\(919\) | 23.3642 | + | 13.4893i | 0.770714 | + | 0.444972i | 0.833129 | − | 0.553078i | \(-0.186547\pi\) |
−0.0624154 | + | 0.998050i | \(0.519880\pi\) | |||||||
\(920\) | −0.145871 | + | 0.460033i | −0.00480923 | + | 0.0151668i | ||||
\(921\) | 0.856726 | − | 3.78435i | 0.0282301 | − | 0.124698i | ||||
\(922\) | 3.42209 | + | 12.7714i | 0.112701 | + | 0.420604i | ||||
\(923\) | −25.4656 | + | 25.4656i | −0.838212 | + | 0.838212i | ||||
\(924\) | −25.7051 | − | 9.32210i | −0.845636 | − | 0.306675i | ||||
\(925\) | 4.36272 | + | 5.23379i | 0.143445 | + | 0.172086i | ||||
\(926\) | −19.8816 | − | 11.4786i | −0.653349 | − | 0.377211i | ||||
\(927\) | 7.31625 | − | 39.4289i | 0.240297 | − | 1.29501i | ||||
\(928\) | 0.617033 | − | 2.30280i | 0.0202551 | − | 0.0755931i | ||||
\(929\) | 24.7230 | − | 42.8215i | 0.811135 | − | 1.40493i | −0.100936 | − | 0.994893i | \(-0.532184\pi\) |
0.912071 | − | 0.410033i | \(-0.134483\pi\) | |||||||
\(930\) | 0.0607534 | − | 9.96708i | 0.00199218 | − | 0.326833i | ||||
\(931\) | −9.22023 | − | 32.9232i | −0.302181 | − | 1.07901i | ||||
\(932\) | 13.2264 | + | 13.2264i | 0.433244 | + | 0.433244i | ||||
\(933\) | 4.84776 | − | 9.21173i | 0.158708 | − | 0.301578i | ||||
\(934\) | 11.3029 | − | 6.52572i | 0.369841 | − | 0.213528i | ||||
\(935\) | 11.2193 | − | 5.81724i | 0.366912 | − | 0.190244i | ||||
\(936\) | 4.32722 | − | 9.06732i | 0.141440 | − | 0.296375i | ||||
\(937\) | −11.4941 | + | 11.4941i | −0.375495 | + | 0.375495i | −0.869474 | − | 0.493979i | \(-0.835542\pi\) |
0.493979 | + | 0.869474i | \(0.335542\pi\) | |||||||
\(938\) | 9.59817 | − | 23.5461i | 0.313391 | − | 0.768806i | ||||
\(939\) | −3.77967 | + | 4.08796i | −0.123345 | + | 0.133406i | ||||
\(940\) | 7.05779 | + | 4.51247i | 0.230200 | + | 0.147181i | ||||
\(941\) | 29.1043 | − | 16.8034i | 0.948774 | − | 0.547775i | 0.0560744 | − | 0.998427i | \(-0.482142\pi\) |
0.892700 | + | 0.450651i | \(0.148808\pi\) | |||||||
\(942\) | 3.68629 | − | 2.32534i | 0.120106 | − | 0.0757636i | ||||
\(943\) | −0.866165 | + | 0.232088i | −0.0282062 | + | 0.00755783i | ||||
\(944\) | 4.05235 | 0.131893 | ||||||||
\(945\) | 1.62959 | − | 30.6976i | 0.0530104 | − | 0.998594i | ||||
\(946\) | 50.8047 | 1.65180 | ||||||||
\(947\) | −48.9361 | + | 13.1124i | −1.59021 | + | 0.426095i | −0.942067 | − | 0.335424i | \(-0.891120\pi\) |
−0.648142 | + | 0.761520i | \(0.724454\pi\) | |||||||
\(948\) | 1.47846 | − | 0.932621i | 0.0480180 | − | 0.0302901i | ||||
\(949\) | 38.4729 | − | 22.2124i | 1.24888 | − | 0.721044i | ||||
\(950\) | −24.0640 | + | 4.16242i | −0.780739 | + | 0.135047i | ||||
\(951\) | −0.925217 | + | 1.00068i | −0.0300022 | + | 0.0324494i | ||||
\(952\) | 2.48276 | − | 0.341090i | 0.0804667 | − | 0.0110548i | ||||
\(953\) | −26.3451 | + | 26.3451i | −0.853401 | + | 0.853401i | −0.990550 | − | 0.137149i | \(-0.956206\pi\) |
0.137149 | + | 0.990550i | \(0.456206\pi\) | |||||||
\(954\) | −8.00537 | + | 16.7746i | −0.259183 | + | 0.543097i | ||||
\(955\) | 17.6935 | − | 55.7998i | 0.572548 | − | 1.80564i | ||||
\(956\) | 7.68765 | − | 4.43847i | 0.248636 | − | 0.143550i | ||||
\(957\) | −11.4743 | + | 21.8035i | −0.370912 | + | 0.704808i | ||||
\(958\) | 22.2217 | + | 22.2217i | 0.717951 | + | 0.717951i | ||||
\(959\) | −17.1371 | − | 12.9972i | −0.553387 | − | 0.419700i | ||||
\(960\) | −2.75525 | + | 2.72187i | −0.0889255 | + | 0.0878480i | ||||
\(961\) | 12.1885 | − | 21.1110i | 0.393176 | − | 0.681001i | ||||
\(962\) | 1.18119 | − | 4.40825i | 0.0380830 | − | 0.142128i | ||||
\(963\) | −8.61297 | + | 46.4172i | −0.277549 | + | 1.49577i | ||||
\(964\) | 3.57384 | + | 2.06335i | 0.115105 | + | 0.0664562i | ||||
\(965\) | 47.5414 | + | 2.15322i | 1.53041 | + | 0.0693147i | ||||
\(966\) | 0.756916 | − | 0.636627i | 0.0243534 | − | 0.0204831i | ||||
\(967\) | −38.9797 | + | 38.9797i | −1.25350 | + | 1.25350i | −0.299362 | + | 0.954139i | \(0.596774\pi\) |
−0.954139 | + | 0.299362i | \(0.903226\pi\) | |||||||
\(968\) | −6.36761 | − | 23.7642i | −0.204663 | − | 0.763812i | ||||
\(969\) | 1.76931 | − | 7.81543i | 0.0568384 | − | 0.251068i | ||||
\(970\) | −10.3299 | − | 3.27550i | −0.331673 | − | 0.105170i | ||||
\(971\) | 8.61828 | + | 4.97576i | 0.276574 | + | 0.159680i | 0.631871 | − | 0.775073i | \(-0.282287\pi\) |
−0.355298 | + | 0.934753i | \(0.615620\pi\) | |||||||
\(972\) | −15.2905 | + | 3.03316i | −0.490444 | + | 0.0972886i | ||||
\(973\) | 26.7644 | + | 10.9101i | 0.858028 | + | 0.349761i | ||||
\(974\) | −26.6188 | −0.852921 | ||||||||
\(975\) | −28.3632 | + | 6.05855i | −0.908349 | + | 0.194029i | ||||
\(976\) | 6.70029 | + | 11.6052i | 0.214471 | + | 0.371475i | ||||
\(977\) | 6.54016 | − | 24.4082i | 0.209238 | − | 0.780888i | −0.778877 | − | 0.627176i | \(-0.784211\pi\) |
0.988116 | − | 0.153712i | \(-0.0491228\pi\) | |||||||
\(978\) | −4.06312 | + | 7.72076i | −0.129924 | + | 0.246883i | ||||
\(979\) | 2.25446i | 0.0720527i | ||||||||
\(980\) | −0.532117 | + | 15.6434i | −0.0169978 | + | 0.499711i | ||||
\(981\) | −2.48391 | − | 31.6457i | −0.0793051 | − | 1.01037i | ||||
\(982\) | −4.45486 | − | 16.6258i | −0.142160 | − | 0.530550i | ||||
\(983\) | 22.0513 | + | 5.90862i | 0.703326 | + | 0.188456i | 0.592720 | − | 0.805409i | \(-0.298054\pi\) |
0.110606 | + | 0.993864i | \(0.464721\pi\) | |||||||
\(984\) | −7.01870 | − | 1.58894i | −0.223748 | − | 0.0506536i | ||||
\(985\) | −14.3030 | + | 22.3707i | −0.455730 | + | 0.712791i | ||||
\(986\) | − | 2.25818i | − | 0.0719151i | ||||||
\(987\) | −7.27350 | − | 15.5509i | −0.231518 | − | 0.494990i | ||||
\(988\) | 11.5664 | + | 11.5664i | 0.367975 | + | 0.367975i | ||||
\(989\) | −0.918842 | + | 1.59148i | −0.0292175 | + | 0.0506061i | ||||
\(990\) | 33.9832 | − | 21.1484i | 1.08006 | − | 0.672140i | ||||
\(991\) | −19.6593 | − | 34.0510i | −0.624500 | − | 1.08166i | −0.988637 | − | 0.150320i | \(-0.951970\pi\) |
0.364138 | − | 0.931345i | \(-0.381364\pi\) | |||||||
\(992\) | 2.48585 | − | 0.666080i | 0.0789257 | − | 0.0211481i | ||||
\(993\) | 1.46333 | + | 37.3438i | 0.0464373 | + | 1.18507i | ||||
\(994\) | −28.2286 | − | 3.55482i | −0.895357 | − | 0.112752i | ||||
\(995\) | 28.8148 | + | 31.5488i | 0.913491 | + | 1.00016i | ||||
\(996\) | −5.69602 | − | 18.3509i | −0.180485 | − | 0.581472i | ||||
\(997\) | −11.1081 | − | 2.97640i | −0.351797 | − | 0.0942636i | 0.0785932 | − | 0.996907i | \(-0.474957\pi\) |
−0.430390 | + | 0.902643i | \(0.641624\pi\) | |||||||
\(998\) | −39.0211 | − | 10.4557i | −1.23519 | − | 0.330969i | ||||
\(999\) | −6.57768 | + | 2.62184i | −0.208109 | + | 0.0829512i |
(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 | 210.2.x.a.23.15 | yes | 64 | |
3.2 | odd | 2 | inner | 210.2.x.a.23.3 | ✓ | 64 | |
5.2 | odd | 4 | inner | 210.2.x.a.107.11 | yes | 64 | |
7.4 | even | 3 | inner | 210.2.x.a.53.2 | yes | 64 | |
15.2 | even | 4 | inner | 210.2.x.a.107.2 | yes | 64 | |
21.11 | odd | 6 | inner | 210.2.x.a.53.11 | yes | 64 | |
35.32 | odd | 12 | inner | 210.2.x.a.137.3 | yes | 64 | |
105.32 | even | 12 | inner | 210.2.x.a.137.15 | yes | 64 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
210.2.x.a.23.3 | ✓ | 64 | 3.2 | odd | 2 | inner | |
210.2.x.a.23.15 | yes | 64 | 1.1 | even | 1 | trivial | |
210.2.x.a.53.2 | yes | 64 | 7.4 | even | 3 | inner | |
210.2.x.a.53.11 | yes | 64 | 21.11 | odd | 6 | inner | |
210.2.x.a.107.2 | yes | 64 | 15.2 | even | 4 | inner | |
210.2.x.a.107.11 | yes | 64 | 5.2 | odd | 4 | inner | |
210.2.x.a.137.3 | yes | 64 | 35.32 | odd | 12 | inner | |
210.2.x.a.137.15 | yes | 64 | 105.32 | even | 12 | inner |