Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [370,2,Mod(97,370)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(370, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([3, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("370.97");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 370 = 2 \cdot 5 \cdot 37 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 370.q (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: | \(2.95446487479\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{12})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} - 4 x^{15} + 12 x^{14} - 48 x^{13} + 67 x^{12} - 24 x^{11} + 118 x^{10} - 176 x^{9} + 351 x^{8} - 180 x^{7} + 358 x^{6} - 336 x^{5} + 390 x^{4} - 344 x^{3} + 164 x^{2} - 40 x + 4 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 103.3 | ||
Root | \(0.277956 + 0.213283i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 370.103 |
Dual form | 370.2.q.e.97.3 |
$q$-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 \(\left(\mathbb{Z}/370\mathbb{Z}\right)^\times\).
\(n\) | \(261\) | \(297\) |
\(\chi(n)\) | \(e\left(\frac{7}{12}\right)\) | \(e\left(\frac{3}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.500000 | − | 0.866025i | −0.353553 | − | 0.612372i | ||||
\(3\) | −0.241181 | − | 0.900100i | −0.139246 | − | 0.519673i | −0.999944 | − | 0.0105575i | \(-0.996639\pi\) |
0.860698 | − | 0.509115i | \(-0.170027\pi\) | |||||||
\(4\) | −0.500000 | + | 0.866025i | −0.250000 | + | 0.433013i | ||||
\(5\) | −2.06776 | − | 0.851088i | −0.924732 | − | 0.380618i | ||||
\(6\) | −0.658919 | + | 0.658919i | −0.269002 | + | 0.269002i | ||||
\(7\) | −0.406803 | − | 1.51821i | −0.153757 | − | 0.573829i | −0.999209 | − | 0.0397771i | \(-0.987335\pi\) |
0.845451 | − | 0.534052i | \(-0.179331\pi\) | |||||||
\(8\) | 1.00000 | 0.353553 | ||||||||
\(9\) | 1.84607 | − | 1.06583i | 0.615355 | − | 0.355275i | ||||
\(10\) | 0.296818 | + | 2.21628i | 0.0938620 | + | 0.700849i | ||||
\(11\) | − | 2.93300i | − | 0.884331i | −0.896933 | − | 0.442166i | \(-0.854210\pi\) | ||
0.896933 | − | 0.442166i | \(-0.145790\pi\) | |||||||
\(12\) | 0.900100 | + | 0.241181i | 0.259836 | + | 0.0696229i | ||||
\(13\) | −1.76057 | + | 3.04940i | −0.488294 | + | 0.845750i | −0.999909 | − | 0.0134645i | \(-0.995714\pi\) |
0.511615 | + | 0.859215i | \(0.329047\pi\) | |||||||
\(14\) | −1.11141 | + | 1.11141i | −0.297036 | + | 0.297036i | ||||
\(15\) | −0.267359 | + | 2.06646i | −0.0690318 | + | 0.533558i | ||||
\(16\) | −0.500000 | − | 0.866025i | −0.125000 | − | 0.216506i | ||||
\(17\) | −6.36287 | + | 3.67360i | −1.54322 | + | 0.890980i | −0.544590 | + | 0.838702i | \(0.683315\pi\) |
−0.998633 | + | 0.0522774i | \(0.983352\pi\) | |||||||
\(18\) | −1.84607 | − | 1.06583i | −0.435122 | − | 0.251218i | ||||
\(19\) | −4.85828 | + | 1.30177i | −1.11456 | + | 0.298647i | −0.768682 | − | 0.639631i | \(-0.779087\pi\) |
−0.345883 | + | 0.938278i | \(0.612421\pi\) | |||||||
\(20\) | 1.77095 | − | 1.36519i | 0.395996 | − | 0.305266i | ||||
\(21\) | −1.26843 | + | 0.732327i | −0.276793 | + | 0.159807i | ||||
\(22\) | −2.54005 | + | 1.46650i | −0.541540 | + | 0.312658i | ||||
\(23\) | −5.62831 | −1.17358 | −0.586792 | − | 0.809738i | \(-0.699609\pi\) | ||||
−0.586792 | + | 0.809738i | \(0.699609\pi\) | |||||||
\(24\) | −0.241181 | − | 0.900100i | −0.0492309 | − | 0.183732i | ||||
\(25\) | 3.55130 | + | 3.51970i | 0.710259 | + | 0.703940i | ||||
\(26\) | 3.52114 | 0.690552 | ||||||||
\(27\) | −3.38134 | − | 3.38134i | −0.650739 | − | 0.650739i | ||||
\(28\) | 1.51821 | + | 0.406803i | 0.286915 | + | 0.0768786i | ||||
\(29\) | 4.48819 | − | 4.48819i | 0.833436 | − | 0.833436i | −0.154549 | − | 0.987985i | \(-0.549392\pi\) |
0.987985 | + | 0.154549i | \(0.0493925\pi\) | |||||||
\(30\) | 1.92329 | − | 0.801690i | 0.351142 | − | 0.146368i | ||||
\(31\) | 3.51267 | + | 3.51267i | 0.630895 | + | 0.630895i | 0.948292 | − | 0.317398i | \(-0.102809\pi\) |
−0.317398 | + | 0.948292i | \(0.602809\pi\) | |||||||
\(32\) | −0.500000 | + | 0.866025i | −0.0883883 | + | 0.153093i | ||||
\(33\) | −2.63999 | + | 0.707383i | −0.459563 | + | 0.123139i | ||||
\(34\) | 6.36287 | + | 3.67360i | 1.09122 | + | 0.630018i | ||||
\(35\) | −0.450958 | + | 3.48553i | −0.0762258 | + | 0.589161i | ||||
\(36\) | 2.13165i | 0.355275i | ||||||||
\(37\) | −2.51884 | − | 5.53674i | −0.414095 | − | 0.910234i | ||||
\(38\) | 3.55650 | + | 3.55650i | 0.576941 | + | 0.576941i | ||||
\(39\) | 3.16938 | + | 0.849232i | 0.507506 | + | 0.135986i | ||||
\(40\) | −2.06776 | − | 0.851088i | −0.326942 | − | 0.134569i | ||||
\(41\) | −5.22288 | − | 3.01543i | −0.815677 | − | 0.470931i | 0.0332466 | − | 0.999447i | \(-0.489415\pi\) |
−0.848923 | + | 0.528516i | \(0.822749\pi\) | |||||||
\(42\) | 1.26843 | + | 0.732327i | 0.195723 | + | 0.113000i | ||||
\(43\) | 0.121960 | 0.0185987 | 0.00929937 | − | 0.999957i | \(-0.497040\pi\) | ||||
0.00929937 | + | 0.999957i | \(0.497040\pi\) | |||||||
\(44\) | 2.54005 | + | 1.46650i | 0.382927 | + | 0.221083i | ||||
\(45\) | −4.72434 | + | 0.632712i | −0.704263 | + | 0.0943192i | ||||
\(46\) | 2.81415 | + | 4.87426i | 0.414924 | + | 0.718670i | ||||
\(47\) | 6.92961 | − | 6.92961i | 1.01079 | − | 1.01079i | 0.0108458 | − | 0.999941i | \(-0.496548\pi\) |
0.999941 | − | 0.0108458i | \(-0.00345241\pi\) | |||||||
\(48\) | −0.658919 | + | 0.658919i | −0.0951067 | + | 0.0951067i | ||||
\(49\) | 3.92271 | − | 2.26478i | 0.560387 | − | 0.323539i | ||||
\(50\) | 1.27250 | − | 4.83536i | 0.179959 | − | 0.683824i | ||||
\(51\) | 4.84121 | + | 4.84121i | 0.677905 | + | 0.677905i | ||||
\(52\) | −1.76057 | − | 3.04940i | −0.244147 | − | 0.422875i | ||||
\(53\) | −1.14500 | + | 4.27319i | −0.157278 | + | 0.586968i | 0.841622 | + | 0.540067i | \(0.181601\pi\) |
−0.998900 | + | 0.0469008i | \(0.985066\pi\) | |||||||
\(54\) | −1.23766 | + | 4.61900i | −0.168424 | + | 0.628566i | ||||
\(55\) | −2.49624 | + | 6.06474i | −0.336593 | + | 0.817770i | ||||
\(56\) | −0.406803 | − | 1.51821i | −0.0543613 | − | 0.202879i | ||||
\(57\) | 2.34345 | + | 4.05897i | 0.310397 | + | 0.537624i | ||||
\(58\) | −6.13098 | − | 1.64279i | −0.805037 | − | 0.215709i | ||||
\(59\) | 3.71354 | − | 13.8591i | 0.483461 | − | 1.80430i | −0.103429 | − | 0.994637i | \(-0.532982\pi\) |
0.586891 | − | 0.809666i | \(-0.300352\pi\) | |||||||
\(60\) | −1.65593 | − | 1.26477i | −0.213779 | − | 0.163281i | ||||
\(61\) | −12.9225 | + | 3.46256i | −1.65455 | + | 0.443335i | −0.960882 | − | 0.276959i | \(-0.910673\pi\) |
−0.693669 | + | 0.720294i | \(0.744007\pi\) | |||||||
\(62\) | 1.28573 | − | 4.79840i | 0.163288 | − | 0.609397i | ||||
\(63\) | −2.36913 | − | 2.36913i | −0.298483 | − | 0.298483i | ||||
\(64\) | 1.00000 | 0.125000 | ||||||||
\(65\) | 6.23575 | − | 4.80703i | 0.773449 | − | 0.596239i | ||||
\(66\) | 1.93261 | + | 1.93261i | 0.237887 | + | 0.237887i | ||||
\(67\) | 9.85764 | − | 2.64135i | 1.20430 | − | 0.322692i | 0.399778 | − | 0.916612i | \(-0.369087\pi\) |
0.804524 | + | 0.593920i | \(0.202420\pi\) | |||||||
\(68\) | − | 7.34721i | − | 0.890980i | ||||||
\(69\) | 1.35744 | + | 5.06604i | 0.163417 | + | 0.609879i | ||||
\(70\) | 3.24403 | − | 1.35222i | 0.387736 | − | 0.161621i | ||||
\(71\) | −3.60184 | + | 6.23857i | −0.427460 | + | 0.740383i | −0.996647 | − | 0.0818258i | \(-0.973925\pi\) |
0.569187 | + | 0.822208i | \(0.307258\pi\) | |||||||
\(72\) | 1.84607 | − | 1.06583i | 0.217561 | − | 0.125609i | ||||
\(73\) | −4.65999 | + | 4.65999i | −0.545411 | + | 0.545411i | −0.925110 | − | 0.379699i | \(-0.876027\pi\) |
0.379699 | + | 0.925110i | \(0.376027\pi\) | |||||||
\(74\) | −3.53553 | + | 4.94975i | −0.410997 | + | 0.575396i | ||||
\(75\) | 2.31158 | − | 4.04541i | 0.266918 | − | 0.467123i | ||||
\(76\) | 1.30177 | − | 4.85828i | 0.149323 | − | 0.557282i | ||||
\(77\) | −4.45290 | + | 1.19315i | −0.507455 | + | 0.135972i | ||||
\(78\) | −0.849232 | − | 3.16938i | −0.0961565 | − | 0.358861i | ||||
\(79\) | 2.20734 | − | 0.591454i | 0.248345 | − | 0.0665438i | −0.132499 | − | 0.991183i | \(-0.542300\pi\) |
0.380844 | + | 0.924639i | \(0.375634\pi\) | |||||||
\(80\) | 0.296818 | + | 2.21628i | 0.0331852 | + | 0.247788i | ||||
\(81\) | 0.969450 | − | 1.67914i | 0.107717 | − | 0.186571i | ||||
\(82\) | 6.03086i | 0.665997i | ||||||||
\(83\) | 3.38786 | − | 12.6437i | 0.371866 | − | 1.38782i | −0.486003 | − | 0.873957i | \(-0.661546\pi\) |
0.857870 | − | 0.513867i | \(-0.171788\pi\) | |||||||
\(84\) | − | 1.46465i | − | 0.159807i | ||||||
\(85\) | 16.2835 | − | 2.18078i | 1.76619 | − | 0.236539i | ||||
\(86\) | −0.0609800 | − | 0.105621i | −0.00657565 | − | 0.0113894i | ||||
\(87\) | −5.12228 | − | 2.95735i | −0.549166 | − | 0.317061i | ||||
\(88\) | − | 2.93300i | − | 0.312658i | ||||||
\(89\) | −1.58109 | − | 0.423653i | −0.167596 | − | 0.0449071i | 0.174045 | − | 0.984738i | \(-0.444316\pi\) |
−0.341641 | + | 0.939831i | \(0.610983\pi\) | |||||||
\(90\) | 2.91011 | + | 3.77504i | 0.306753 | + | 0.397924i | ||||
\(91\) | 5.34583 | + | 1.43241i | 0.560395 | + | 0.150157i | ||||
\(92\) | 2.81415 | − | 4.87426i | 0.293396 | − | 0.508177i | ||||
\(93\) | 2.31457 | − | 4.00894i | 0.240009 | − | 0.415708i | ||||
\(94\) | −9.46602 | − | 2.53641i | −0.976345 | − | 0.261611i | ||||
\(95\) | 11.1537 | + | 1.44307i | 1.14434 | + | 0.148056i | ||||
\(96\) | 0.900100 | + | 0.241181i | 0.0918660 | + | 0.0246154i | ||||
\(97\) | − | 10.5326i | − | 1.06942i | −0.845035 | − | 0.534712i | \(-0.820420\pi\) | ||
0.845035 | − | 0.534712i | \(-0.179580\pi\) | |||||||
\(98\) | −3.92271 | − | 2.26478i | −0.396253 | − | 0.228777i | ||||
\(99\) | −3.12606 | − | 5.41450i | −0.314181 | − | 0.544178i | ||||
\(100\) | −4.82380 | + | 1.31566i | −0.482380 | + | 0.131566i | ||||
\(101\) | 5.63054i | 0.560259i | 0.959962 | + | 0.280130i | \(0.0903775\pi\) | ||||
−0.959962 | + | 0.280130i | \(0.909623\pi\) | |||||||
\(102\) | 1.77201 | − | 6.61322i | 0.175455 | − | 0.654806i | ||||
\(103\) | 9.11424i | 0.898053i | 0.893519 | + | 0.449026i | \(0.148229\pi\) | ||||
−0.893519 | + | 0.449026i | \(0.851771\pi\) | |||||||
\(104\) | −1.76057 | + | 3.04940i | −0.172638 | + | 0.299018i | ||||
\(105\) | 3.24608 | − | 0.434735i | 0.316785 | − | 0.0424258i | ||||
\(106\) | 4.27319 | − | 1.14500i | 0.415049 | − | 0.111212i | ||||
\(107\) | −4.07658 | − | 15.2140i | −0.394098 | − | 1.47079i | −0.823312 | − | 0.567589i | \(-0.807876\pi\) |
0.429214 | − | 0.903203i | \(-0.358791\pi\) | |||||||
\(108\) | 4.61900 | − | 1.23766i | 0.444463 | − | 0.119094i | ||||
\(109\) | −0.0234842 | + | 0.0876443i | −0.00224938 | + | 0.00839480i | −0.967041 | − | 0.254619i | \(-0.918050\pi\) |
0.964792 | + | 0.263014i | \(0.0847165\pi\) | |||||||
\(110\) | 6.50034 | − | 0.870565i | 0.619783 | − | 0.0830051i | ||||
\(111\) | −4.37612 | + | 3.60256i | −0.415363 | + | 0.341940i | ||||
\(112\) | −1.11141 | + | 1.11141i | −0.105018 | + | 0.105018i | ||||
\(113\) | 7.62291 | − | 4.40109i | 0.717103 | − | 0.414020i | −0.0965824 | − | 0.995325i | \(-0.530791\pi\) |
0.813686 | + | 0.581305i | \(0.197458\pi\) | |||||||
\(114\) | 2.34345 | − | 4.05897i | 0.219484 | − | 0.380157i | ||||
\(115\) | 11.6380 | + | 4.79019i | 1.08525 | + | 0.446687i | ||||
\(116\) | 1.64279 | + | 6.13098i | 0.152529 | + | 0.569247i | ||||
\(117\) | 7.50584i | 0.693916i | ||||||||
\(118\) | −13.8591 | + | 3.71354i | −1.27583 | + | 0.341859i | ||||
\(119\) | 8.16574 | + | 8.16574i | 0.748552 | + | 0.748552i | ||||
\(120\) | −0.267359 | + | 2.06646i | −0.0244064 | + | 0.188641i | ||||
\(121\) | 2.39754 | 0.217958 | ||||||||
\(122\) | 9.45989 | + | 9.45989i | 0.856458 | + | 0.856458i | ||||
\(123\) | −1.45453 | + | 5.42838i | −0.131150 | + | 0.489460i | ||||
\(124\) | −4.79840 | + | 1.28573i | −0.430909 | + | 0.115462i | ||||
\(125\) | −4.34767 | − | 10.3004i | −0.388867 | − | 0.921294i | ||||
\(126\) | −0.867163 | + | 3.23630i | −0.0772530 | + | 0.288312i | ||||
\(127\) | −9.88326 | − | 2.64821i | −0.876997 | − | 0.234991i | −0.207886 | − | 0.978153i | \(-0.566658\pi\) |
−0.669111 | + | 0.743162i | \(0.733325\pi\) | |||||||
\(128\) | −0.500000 | − | 0.866025i | −0.0441942 | − | 0.0765466i | ||||
\(129\) | −0.0294144 | − | 0.109776i | −0.00258980 | − | 0.00966526i | ||||
\(130\) | −7.28088 | − | 2.99680i | −0.638576 | − | 0.262837i | ||||
\(131\) | 3.67842 | − | 13.7281i | 0.321385 | − | 1.19943i | −0.596510 | − | 0.802605i | \(-0.703447\pi\) |
0.917896 | − | 0.396821i | \(-0.129887\pi\) | |||||||
\(132\) | 0.707383 | − | 2.63999i | 0.0615697 | − | 0.229781i | ||||
\(133\) | 3.95272 | + | 6.84632i | 0.342745 | + | 0.593651i | ||||
\(134\) | −7.21629 | − | 7.21629i | −0.623393 | − | 0.623393i | ||||
\(135\) | 4.11400 | + | 9.86964i | 0.354076 | + | 0.849443i | ||||
\(136\) | −6.36287 | + | 3.67360i | −0.545612 | + | 0.315009i | ||||
\(137\) | −13.1082 | + | 13.1082i | −1.11991 | + | 1.11991i | −0.128152 | + | 0.991755i | \(0.540904\pi\) |
−0.991755 | + | 0.128152i | \(0.959096\pi\) | |||||||
\(138\) | 3.70860 | − | 3.70860i | 0.315697 | − | 0.315697i | ||||
\(139\) | 1.41733 | + | 2.45489i | 0.120216 | + | 0.208221i | 0.919853 | − | 0.392263i | \(-0.128308\pi\) |
−0.799637 | + | 0.600484i | \(0.794974\pi\) | |||||||
\(140\) | −2.79307 | − | 2.13330i | −0.236058 | − | 0.180297i | ||||
\(141\) | −7.90863 | − | 4.56605i | −0.666026 | − | 0.384531i | ||||
\(142\) | 7.20369 | 0.604520 | ||||||||
\(143\) | 8.94386 | + | 5.16374i | 0.747923 | + | 0.431814i | ||||
\(144\) | −1.84607 | − | 1.06583i | −0.153839 | − | 0.0888189i | ||||
\(145\) | −13.1004 | + | 5.46067i | −1.08793 | + | 0.453484i | ||||
\(146\) | 6.36567 | + | 1.70567i | 0.526826 | + | 0.141163i | ||||
\(147\) | −2.98461 | − | 2.98461i | −0.246166 | − | 0.246166i | ||||
\(148\) | 6.05437 | + | 0.586988i | 0.497666 | + | 0.0482502i | ||||
\(149\) | 7.08033i | 0.580043i | 0.957020 | + | 0.290021i | \(0.0936624\pi\) | ||||
−0.957020 | + | 0.290021i | \(0.906338\pi\) | |||||||
\(150\) | −4.65921 | + | 0.0208194i | −0.380423 | + | 0.00169990i | ||||
\(151\) | 1.73548 | + | 1.00198i | 0.141232 | + | 0.0815402i | 0.568951 | − | 0.822371i | \(-0.307349\pi\) |
−0.427719 | + | 0.903912i | \(0.640683\pi\) | |||||||
\(152\) | −4.85828 | + | 1.30177i | −0.394058 | + | 0.105588i | ||||
\(153\) | −7.83085 | + | 13.5634i | −0.633087 | + | 1.09654i | ||||
\(154\) | 3.25975 | + | 3.25975i | 0.262678 | + | 0.262678i | ||||
\(155\) | −4.27378 | − | 10.2530i | −0.343279 | − | 0.823539i | ||||
\(156\) | −2.32014 | + | 2.32014i | −0.185760 | + | 0.185760i | ||||
\(157\) | 4.10221 | + | 1.09918i | 0.327392 | + | 0.0877244i | 0.418771 | − | 0.908092i | \(-0.362461\pi\) |
−0.0913794 | + | 0.995816i | \(0.529128\pi\) | |||||||
\(158\) | −1.61588 | − | 1.61588i | −0.128553 | − | 0.128553i | ||||
\(159\) | 4.12245 | 0.326931 | ||||||||
\(160\) | 1.77095 | − | 1.36519i | 0.140006 | − | 0.107928i | ||||
\(161\) | 2.28961 | + | 8.54495i | 0.180447 | + | 0.673437i | ||||
\(162\) | −1.93890 | −0.152334 | ||||||||
\(163\) | 14.1809 | − | 8.18736i | 1.11074 | − | 0.641284i | 0.171716 | − | 0.985147i | \(-0.445069\pi\) |
0.939020 | + | 0.343863i | \(0.111736\pi\) | |||||||
\(164\) | 5.22288 | − | 3.01543i | 0.407838 | − | 0.235466i | ||||
\(165\) | 6.06092 | + | 0.784163i | 0.471842 | + | 0.0610470i | ||||
\(166\) | −12.6437 | + | 3.38786i | −0.981340 | + | 0.262949i | ||||
\(167\) | −0.770702 | − | 0.444965i | −0.0596387 | − | 0.0344324i | 0.469884 | − | 0.882728i | \(-0.344296\pi\) |
−0.529523 | + | 0.848296i | \(0.677629\pi\) | |||||||
\(168\) | −1.26843 | + | 0.732327i | −0.0978613 | + | 0.0565002i | ||||
\(169\) | 0.300791 | + | 0.520985i | 0.0231378 | + | 0.0400758i | ||||
\(170\) | −10.0304 | − | 13.0115i | −0.769293 | − | 0.997937i | ||||
\(171\) | −7.58123 | + | 7.58123i | −0.579751 | + | 0.579751i | ||||
\(172\) | −0.0609800 | + | 0.105621i | −0.00464968 | + | 0.00805349i | ||||
\(173\) | −23.4259 | − | 6.27695i | −1.78104 | − | 0.477228i | −0.790266 | − | 0.612765i | \(-0.790057\pi\) |
−0.990772 | + | 0.135537i | \(0.956724\pi\) | |||||||
\(174\) | 5.91470i | 0.448393i | ||||||||
\(175\) | 3.89897 | − | 6.82344i | 0.294734 | − | 0.515803i | ||||
\(176\) | −2.54005 | + | 1.46650i | −0.191463 | + | 0.110541i | ||||
\(177\) | −13.3702 | −1.00497 | ||||||||
\(178\) | 0.423653 | + | 1.58109i | 0.0317541 | + | 0.118508i | ||||
\(179\) | 1.37366 | − | 1.37366i | 0.102672 | − | 0.102672i | −0.653905 | − | 0.756577i | \(-0.726870\pi\) |
0.756577 | + | 0.653905i | \(0.226870\pi\) | |||||||
\(180\) | 1.81422 | − | 4.40775i | 0.135224 | − | 0.328535i | ||||
\(181\) | −4.19804 | + | 7.27122i | −0.312038 | + | 0.540465i | −0.978803 | − | 0.204802i | \(-0.934345\pi\) |
0.666766 | + | 0.745267i | \(0.267678\pi\) | |||||||
\(182\) | −1.43241 | − | 5.34583i | −0.106177 | − | 0.396259i | ||||
\(183\) | 6.23330 | + | 10.7964i | 0.460779 | + | 0.798092i | ||||
\(184\) | −5.62831 | −0.414924 | ||||||||
\(185\) | 0.496115 | + | 13.5924i | 0.0364751 | + | 0.999335i | ||||
\(186\) | −4.62913 | −0.339424 | ||||||||
\(187\) | 10.7747 | + | 18.6623i | 0.787921 | + | 1.36472i | ||||
\(188\) | 2.53641 | + | 9.46602i | 0.184987 | + | 0.690380i | ||||
\(189\) | −3.75805 | + | 6.50913i | −0.273358 | + | 0.473469i | ||||
\(190\) | −4.32711 | − | 10.3809i | −0.313922 | − | 0.753111i | ||||
\(191\) | 10.3499 | − | 10.3499i | 0.748891 | − | 0.748891i | −0.225380 | − | 0.974271i | \(-0.572362\pi\) |
0.974271 | + | 0.225380i | \(0.0723622\pi\) | |||||||
\(192\) | −0.241181 | − | 0.900100i | −0.0174057 | − | 0.0649591i | ||||
\(193\) | −7.34357 | −0.528602 | −0.264301 | − | 0.964440i | \(-0.585141\pi\) | ||||
−0.264301 | + | 0.964440i | \(0.585141\pi\) | |||||||
\(194\) | −9.12150 | + | 5.26630i | −0.654885 | + | 0.378098i | ||||
\(195\) | −5.83075 | − | 4.45343i | −0.417549 | − | 0.318917i | ||||
\(196\) | 4.52955i | 0.323539i | ||||||||
\(197\) | 0.216617 | + | 0.0580423i | 0.0154333 | + | 0.00413535i | 0.266527 | − | 0.963827i | \(-0.414124\pi\) |
−0.251094 | + | 0.967963i | \(0.580790\pi\) | |||||||
\(198\) | −3.12606 | + | 5.41450i | −0.222160 | + | 0.384792i | ||||
\(199\) | 10.8061 | − | 10.8061i | 0.766023 | − | 0.766023i | −0.211381 | − | 0.977404i | \(-0.567796\pi\) |
0.977404 | + | 0.211381i | \(0.0677960\pi\) | |||||||
\(200\) | 3.55130 | + | 3.51970i | 0.251115 | + | 0.248880i | ||||
\(201\) | −4.75495 | − | 8.23582i | −0.335388 | − | 0.580910i | ||||
\(202\) | 4.87619 | − | 2.81527i | 0.343087 | − | 0.198082i | ||||
\(203\) | −8.63982 | − | 4.98820i | −0.606397 | − | 0.350103i | ||||
\(204\) | −6.61322 | + | 1.77201i | −0.463018 | + | 0.124065i | ||||
\(205\) | 8.23328 | + | 10.6803i | 0.575038 | + | 0.745947i | ||||
\(206\) | 7.89316 | − | 4.55712i | 0.549943 | − | 0.317510i | ||||
\(207\) | −10.3902 | + | 5.99880i | −0.722171 | + | 0.416945i | ||||
\(208\) | 3.52114 | 0.244147 | ||||||||
\(209\) | 3.81809 | + | 14.2493i | 0.264103 | + | 0.985645i | ||||
\(210\) | −1.99953 | − | 2.59382i | −0.137981 | − | 0.178991i | ||||
\(211\) | −17.0413 | −1.17317 | −0.586585 | − | 0.809887i | \(-0.699528\pi\) | ||||
−0.586585 | + | 0.809887i | \(0.699528\pi\) | |||||||
\(212\) | −3.12819 | − | 3.12819i | −0.214845 | − | 0.214845i | ||||
\(213\) | 6.48403 | + | 1.73739i | 0.444279 | + | 0.119044i | ||||
\(214\) | −11.1374 | + | 11.1374i | −0.761338 | + | 0.761338i | ||||
\(215\) | −0.252185 | − | 0.103799i | −0.0171988 | − | 0.00707902i | ||||
\(216\) | −3.38134 | − | 3.38134i | −0.230071 | − | 0.230071i | ||||
\(217\) | 3.90401 | − | 6.76194i | 0.265021 | − | 0.459030i | ||||
\(218\) | 0.0876443 | − | 0.0234842i | 0.00593602 | − | 0.00159055i | ||||
\(219\) | 5.31836 | + | 3.07055i | 0.359381 | + | 0.207489i | ||||
\(220\) | −4.00410 | − | 5.19418i | −0.269956 | − | 0.350191i | ||||
\(221\) | − | 25.8705i | − | 1.74024i | ||||||
\(222\) | 5.30797 | + | 1.98855i | 0.356248 | + | 0.133463i | ||||
\(223\) | 12.1035 | + | 12.1035i | 0.810508 | + | 0.810508i | 0.984710 | − | 0.174202i | \(-0.0557346\pi\) |
−0.174202 | + | 0.984710i | \(0.555735\pi\) | |||||||
\(224\) | 1.51821 | + | 0.406803i | 0.101440 | + | 0.0271807i | ||||
\(225\) | 10.3073 | + | 2.71253i | 0.687154 | + | 0.180835i | ||||
\(226\) | −7.62291 | − | 4.40109i | −0.507068 | − | 0.292756i | ||||
\(227\) | 18.0722 | + | 10.4340i | 1.19949 | + | 0.692528i | 0.960442 | − | 0.278479i | \(-0.0898304\pi\) |
0.239051 | + | 0.971007i | \(0.423164\pi\) | |||||||
\(228\) | −4.68689 | −0.310397 | ||||||||
\(229\) | −19.2477 | − | 11.1127i | −1.27192 | − | 0.734346i | −0.296575 | − | 0.955010i | \(-0.595844\pi\) |
−0.975350 | + | 0.220664i | \(0.929178\pi\) | |||||||
\(230\) | −1.67058 | − | 12.4739i | −0.110155 | − | 0.822505i | ||||
\(231\) | 2.14791 | + | 3.72029i | 0.141322 | + | 0.244777i | ||||
\(232\) | 4.48819 | − | 4.48819i | 0.294664 | − | 0.294664i | ||||
\(233\) | 10.7402 | − | 10.7402i | 0.703612 | − | 0.703612i | −0.261572 | − | 0.965184i | \(-0.584241\pi\) |
0.965184 | + | 0.261572i | \(0.0842409\pi\) | |||||||
\(234\) | 6.50025 | − | 3.75292i | 0.424935 | − | 0.245336i | ||||
\(235\) | −20.2265 | + | 8.43108i | −1.31943 | + | 0.549983i | ||||
\(236\) | 10.1456 | + | 10.1456i | 0.660421 | + | 0.660421i | ||||
\(237\) | −1.06474 | − | 1.84418i | −0.0691620 | − | 0.119792i | ||||
\(238\) | 2.98887 | − | 11.1546i | 0.193739 | − | 0.723046i | ||||
\(239\) | −4.57456 | + | 17.0725i | −0.295904 | + | 1.10433i | 0.644593 | + | 0.764526i | \(0.277027\pi\) |
−0.940497 | + | 0.339802i | \(0.889640\pi\) | |||||||
\(240\) | 1.92329 | − | 0.801690i | 0.124148 | − | 0.0517489i | ||||
\(241\) | −3.16072 | − | 11.7960i | −0.203600 | − | 0.759844i | −0.989872 | − | 0.141964i | \(-0.954658\pi\) |
0.786272 | − | 0.617880i | \(-0.212008\pi\) | |||||||
\(242\) | −1.19877 | − | 2.07633i | −0.0770599 | − | 0.133472i | ||||
\(243\) | −15.6022 | − | 4.18060i | −1.00088 | − | 0.268185i | ||||
\(244\) | 3.46256 | − | 12.9225i | 0.221668 | − | 0.827275i | ||||
\(245\) | −10.0388 | + | 1.34445i | −0.641352 | + | 0.0858938i | ||||
\(246\) | 5.42838 | − | 1.45453i | 0.346101 | − | 0.0927374i | ||||
\(247\) | 4.58372 | − | 17.1067i | 0.291655 | − | 1.08847i | ||||
\(248\) | 3.51267 | + | 3.51267i | 0.223055 | + | 0.223055i | ||||
\(249\) | −12.1977 | −0.772995 | ||||||||
\(250\) | −6.74656 | + | 8.91538i | −0.426690 | + | 0.563858i | ||||
\(251\) | −4.64149 | − | 4.64149i | −0.292968 | − | 0.292968i | 0.545283 | − | 0.838252i | \(-0.316422\pi\) |
−0.838252 | + | 0.545283i | \(0.816422\pi\) | |||||||
\(252\) | 3.23630 | − | 0.867163i | 0.203867 | − | 0.0546261i | ||||
\(253\) | 16.5078i | 1.03784i | ||||||||
\(254\) | 2.64821 | + | 9.88326i | 0.166164 | + | 0.620131i | ||||
\(255\) | −5.89019 | − | 14.1308i | −0.368858 | − | 0.884904i | ||||
\(256\) | −0.500000 | + | 0.866025i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | 5.17253 | − | 2.98636i | 0.322653 | − | 0.186284i | −0.329921 | − | 0.944008i | \(-0.607022\pi\) |
0.652575 | + | 0.757724i | \(0.273689\pi\) | |||||||
\(258\) | −0.0803618 | + | 0.0803618i | −0.00500310 | + | 0.00500310i | ||||
\(259\) | −7.38125 | + | 6.07649i | −0.458649 | + | 0.377575i | ||||
\(260\) | 1.04514 | + | 7.80383i | 0.0648166 | + | 0.483973i | ||||
\(261\) | 3.50186 | − | 13.0691i | 0.216760 | − | 0.808958i | ||||
\(262\) | −13.7281 | + | 3.67842i | −0.848123 | + | 0.227254i | ||||
\(263\) | 4.25599 | + | 15.8836i | 0.262435 | + | 0.979423i | 0.963801 | + | 0.266621i | \(0.0859072\pi\) |
−0.701366 | + | 0.712801i | \(0.747426\pi\) | |||||||
\(264\) | −2.63999 | + | 0.707383i | −0.162480 | + | 0.0435364i | ||||
\(265\) | 6.00445 | − | 7.86145i | 0.368850 | − | 0.482925i | ||||
\(266\) | 3.95272 | − | 6.84632i | 0.242357 | − | 0.419775i | ||||
\(267\) | 1.52532i | 0.0933480i | ||||||||
\(268\) | −2.64135 | + | 9.85764i | −0.161346 | + | 0.602151i | ||||
\(269\) | 23.9358i | 1.45939i | 0.683772 | + | 0.729696i | \(0.260338\pi\) | ||||
−0.683772 | + | 0.729696i | \(0.739662\pi\) | |||||||
\(270\) | 6.49036 | − | 8.49764i | 0.394991 | − | 0.517150i | ||||
\(271\) | 2.74456 | + | 4.75371i | 0.166720 | + | 0.288767i | 0.937265 | − | 0.348618i | \(-0.113349\pi\) |
−0.770545 | + | 0.637386i | \(0.780016\pi\) | |||||||
\(272\) | 6.36287 | + | 3.67360i | 0.385806 | + | 0.222745i | ||||
\(273\) | − | 5.15725i | − | 0.312131i | ||||||
\(274\) | 17.9061 | + | 4.79792i | 1.08175 | + | 0.289853i | ||||
\(275\) | 10.3233 | − | 10.4159i | 0.622516 | − | 0.628105i | ||||
\(276\) | −5.06604 | − | 1.35744i | −0.304940 | − | 0.0817084i | ||||
\(277\) | 3.21490 | − | 5.56838i | 0.193165 | − | 0.334571i | −0.753133 | − | 0.657869i | \(-0.771458\pi\) |
0.946297 | + | 0.323297i | \(0.104791\pi\) | |||||||
\(278\) | 1.41733 | − | 2.45489i | 0.0850059 | − | 0.147234i | ||||
\(279\) | 10.2285 | + | 2.74072i | 0.612366 | + | 0.164083i | ||||
\(280\) | −0.450958 | + | 3.48553i | −0.0269499 | + | 0.208300i | ||||
\(281\) | 9.19576 | + | 2.46400i | 0.548573 | + | 0.146990i | 0.522451 | − | 0.852669i | \(-0.325018\pi\) |
0.0261216 | + | 0.999659i | \(0.491684\pi\) | |||||||
\(282\) | 9.13209i | 0.543808i | ||||||||
\(283\) | −3.83387 | − | 2.21349i | −0.227900 | − | 0.131578i | 0.381703 | − | 0.924285i | \(-0.375338\pi\) |
−0.609603 | + | 0.792707i | \(0.708671\pi\) | |||||||
\(284\) | −3.60184 | − | 6.23857i | −0.213730 | − | 0.370191i | ||||
\(285\) | −1.39115 | − | 10.3875i | −0.0824048 | − | 0.615301i | ||||
\(286\) | − | 10.3275i | − | 0.610677i | ||||||
\(287\) | −2.45337 | + | 9.15611i | −0.144818 | + | 0.540468i | ||||
\(288\) | 2.13165i | 0.125609i | ||||||||
\(289\) | 18.4907 | − | 32.0269i | 1.08769 | − | 1.88394i | ||||
\(290\) | 11.2793 | + | 8.61491i | 0.662341 | + | 0.505885i | ||||
\(291\) | −9.48039 | + | 2.54026i | −0.555750 | + | 0.148913i | ||||
\(292\) | −1.70567 | − | 6.36567i | −0.0998171 | − | 0.372522i | ||||
\(293\) | 10.6757 | − | 2.86054i | 0.623679 | − | 0.167114i | 0.0668794 | − | 0.997761i | \(-0.478696\pi\) |
0.556800 | + | 0.830647i | \(0.312029\pi\) | |||||||
\(294\) | −1.09244 | + | 4.07705i | −0.0637125 | + | 0.237778i | ||||
\(295\) | −19.4741 | + | 25.4968i | −1.13382 | + | 1.48448i | ||||
\(296\) | −2.51884 | − | 5.53674i | −0.146405 | − | 0.321816i | ||||
\(297\) | −9.91746 | + | 9.91746i | −0.575469 | + | 0.575469i | ||||
\(298\) | 6.13174 | − | 3.54016i | 0.355202 | − | 0.205076i | ||||
\(299\) | 9.90903 | − | 17.1629i | 0.573054 | − | 0.992559i | ||||
\(300\) | 2.34764 | + | 4.02459i | 0.135541 | + | 0.232360i | ||||
\(301\) | −0.0496137 | − | 0.185161i | −0.00285969 | − | 0.0106725i | ||||
\(302\) | − | 2.00397i | − | 0.115315i | ||||||
\(303\) | 5.06804 | − | 1.35798i | 0.291151 | − | 0.0780138i | ||||
\(304\) | 3.55650 | + | 3.55650i | 0.203980 | + | 0.203980i | ||||
\(305\) | 29.6675 | + | 3.83839i | 1.69876 | + | 0.219786i | ||||
\(306\) | 15.6617 | 0.895320 | ||||||||
\(307\) | 1.21213 | + | 1.21213i | 0.0691797 | + | 0.0691797i | 0.740850 | − | 0.671670i | \(-0.234423\pi\) |
−0.671670 | + | 0.740850i | \(0.734423\pi\) | |||||||
\(308\) | 1.19315 | − | 4.45290i | 0.0679861 | − | 0.253728i | ||||
\(309\) | 8.20372 | − | 2.19818i | 0.466693 | − | 0.125050i | ||||
\(310\) | −6.74244 | + | 8.82769i | −0.382945 | + | 0.501379i | ||||
\(311\) | −4.94798 | + | 18.4661i | −0.280574 | + | 1.04712i | 0.671439 | + | 0.741060i | \(0.265677\pi\) |
−0.952013 | + | 0.306057i | \(0.900990\pi\) | |||||||
\(312\) | 3.16938 | + | 0.849232i | 0.179431 | + | 0.0480783i | ||||
\(313\) | 3.96998 | + | 6.87620i | 0.224396 | + | 0.388666i | 0.956138 | − | 0.292916i | \(-0.0946256\pi\) |
−0.731742 | + | 0.681582i | \(0.761292\pi\) | |||||||
\(314\) | −1.09918 | − | 4.10221i | −0.0620305 | − | 0.231501i | ||||
\(315\) | 2.88247 | + | 6.91515i | 0.162409 | + | 0.389625i | ||||
\(316\) | −0.591454 | + | 2.20734i | −0.0332719 | + | 0.124172i | ||||
\(317\) | −1.43710 | + | 5.36333i | −0.0807156 | + | 0.301235i | −0.994468 | − | 0.105036i | \(-0.966504\pi\) |
0.913753 | + | 0.406270i | \(0.133171\pi\) | |||||||
\(318\) | −2.06122 | − | 3.57014i | −0.115588 | − | 0.200204i | ||||
\(319\) | −13.1638 | − | 13.1638i | −0.737033 | − | 0.737033i | ||||
\(320\) | −2.06776 | − | 0.851088i | −0.115592 | − | 0.0475773i | ||||
\(321\) | −12.7109 | + | 7.33865i | −0.709454 | + | 0.409604i | ||||
\(322\) | 6.25534 | − | 6.25534i | 0.348597 | − | 0.348597i | ||||
\(323\) | 26.1304 | − | 26.1304i | 1.45393 | − | 1.45393i | ||||
\(324\) | 0.969450 | + | 1.67914i | 0.0538583 | + | 0.0932854i | ||||
\(325\) | −16.9853 | + | 4.63263i | −0.942173 | + | 0.256972i | ||||
\(326\) | −14.1809 | − | 8.18736i | −0.785409 | − | 0.453456i | ||||
\(327\) | 0.0845525 | 0.00467577 | ||||||||
\(328\) | −5.22288 | − | 3.01543i | −0.288385 | − | 0.166499i | ||||
\(329\) | −13.3396 | − | 7.70161i | −0.735435 | − | 0.424604i | ||||
\(330\) | −2.35135 | − | 5.64099i | −0.129438 | − | 0.310526i | ||||
\(331\) | −4.85442 | − | 1.30074i | −0.266823 | − | 0.0714950i | 0.122927 | − | 0.992416i | \(-0.460772\pi\) |
−0.389750 | + | 0.920921i | \(0.627439\pi\) | |||||||
\(332\) | 9.25582 | + | 9.25582i | 0.507979 | + | 0.507979i | ||||
\(333\) | −10.5511 | − | 7.53653i | −0.578199 | − | 0.412999i | ||||
\(334\) | 0.889930i | 0.0486948i | ||||||||
\(335\) | −22.6313 | − | 2.92804i | −1.23648 | − | 0.159976i | ||||
\(336\) | 1.26843 | + | 0.732327i | 0.0691984 | + | 0.0399517i | ||||
\(337\) | −4.19085 | + | 1.12294i | −0.228290 | + | 0.0611702i | −0.371151 | − | 0.928573i | \(-0.621037\pi\) |
0.142860 | + | 0.989743i | \(0.454370\pi\) | |||||||
\(338\) | 0.300791 | − | 0.520985i | 0.0163609 | − | 0.0283379i | ||||
\(339\) | −5.79992 | − | 5.79992i | −0.315008 | − | 0.315008i | ||||
\(340\) | −6.25312 | + | 15.1923i | −0.339123 | + | 0.823918i | ||||
\(341\) | 10.3027 | − | 10.3027i | 0.557920 | − | 0.557920i | ||||
\(342\) | 10.3562 | + | 2.77492i | 0.559997 | + | 0.150051i | ||||
\(343\) | −12.8140 | − | 12.8140i | −0.691892 | − | 0.691892i | ||||
\(344\) | 0.121960 | 0.00657565 | ||||||||
\(345\) | 1.50478 | − | 11.6307i | 0.0810146 | − | 0.626175i | ||||
\(346\) | 6.27695 | + | 23.4259i | 0.337451 | + | 1.25938i | ||||
\(347\) | −15.0208 | −0.806357 | −0.403178 | − | 0.915121i | \(-0.632095\pi\) | ||||
−0.403178 | + | 0.915121i | \(0.632095\pi\) | |||||||
\(348\) | 5.12228 | − | 2.95735i | 0.274583 | − | 0.158531i | ||||
\(349\) | 28.7916 | − | 16.6228i | 1.54118 | − | 0.889799i | 0.542413 | − | 0.840112i | \(-0.317511\pi\) |
0.998765 | − | 0.0496875i | \(-0.0158225\pi\) | |||||||
\(350\) | −7.85875 | + | 0.0351163i | −0.420068 | + | 0.00187705i | ||||
\(351\) | 16.2641 | − | 4.35796i | 0.868115 | − | 0.232611i | ||||
\(352\) | 2.54005 | + | 1.46650i | 0.135385 | + | 0.0781646i | ||||
\(353\) | 8.41266 | − | 4.85705i | 0.447761 | − | 0.258515i | −0.259123 | − | 0.965844i | \(-0.583434\pi\) |
0.706884 | + | 0.707329i | \(0.250100\pi\) | |||||||
\(354\) | 6.68511 | + | 11.5789i | 0.355309 | + | 0.615414i | ||||
\(355\) | 12.7573 | − | 9.83441i | 0.677089 | − | 0.521956i | ||||
\(356\) | 1.15744 | − | 1.15744i | 0.0613443 | − | 0.0613443i | ||||
\(357\) | 5.38056 | − | 9.31940i | 0.284769 | − | 0.493235i | ||||
\(358\) | −1.87646 | − | 0.502795i | −0.0991737 | − | 0.0265735i | ||||
\(359\) | − | 30.7678i | − | 1.62386i | −0.583755 | − | 0.811930i | \(-0.698417\pi\) | ||
0.583755 | − | 0.811930i | \(-0.301583\pi\) | |||||||
\(360\) | −4.72434 | + | 0.632712i | −0.248995 | + | 0.0333469i | ||||
\(361\) | 5.45375 | − | 3.14872i | 0.287039 | − | 0.165722i | ||||
\(362\) | 8.39608 | 0.441288 | ||||||||
\(363\) | −0.578241 | − | 2.15802i | −0.0303498 | − | 0.113267i | ||||
\(364\) | −3.91342 | + | 3.91342i | −0.205119 | + | 0.205119i | ||||
\(365\) | 13.6018 | − | 5.66970i | 0.711952 | − | 0.296766i | ||||
\(366\) | 6.23330 | − | 10.7964i | 0.325820 | − | 0.564336i | ||||
\(367\) | 0.846545 | + | 3.15935i | 0.0441893 | + | 0.164917i | 0.984494 | − | 0.175416i | \(-0.0561270\pi\) |
−0.940305 | + | 0.340333i | \(0.889460\pi\) | |||||||
\(368\) | 2.81415 | + | 4.87426i | 0.146698 | + | 0.254088i | ||||
\(369\) | −12.8557 | −0.669241 | ||||||||
\(370\) | 11.5233 | − | 7.22586i | 0.599069 | − | 0.375654i | ||||
\(371\) | 6.95339 | 0.361002 | ||||||||
\(372\) | 2.31457 | + | 4.00894i | 0.120005 | + | 0.207854i | ||||
\(373\) | −2.56350 | − | 9.56710i | −0.132733 | − | 0.495366i | 0.867264 | − | 0.497848i | \(-0.165876\pi\) |
−0.999997 | + | 0.00248270i | \(0.999210\pi\) | |||||||
\(374\) | 10.7747 | − | 18.6623i | 0.557145 | − | 0.965003i | ||||
\(375\) | −8.22279 | + | 6.39759i | −0.424623 | + | 0.330370i | ||||
\(376\) | 6.92961 | − | 6.92961i | 0.357367 | − | 0.357367i | ||||
\(377\) | 5.78450 | + | 21.5880i | 0.297917 | + | 1.11184i | ||||
\(378\) | 7.51609 | 0.386586 | ||||||||
\(379\) | 3.81839 | − | 2.20455i | 0.196137 | − | 0.113240i | −0.398715 | − | 0.917075i | \(-0.630544\pi\) |
0.594852 | + | 0.803835i | \(0.297210\pi\) | |||||||
\(380\) | −6.82658 | + | 8.93785i | −0.350196 | + | 0.458502i | ||||
\(381\) | 9.53461i | 0.488473i | ||||||||
\(382\) | −14.1382 | − | 3.78832i | −0.723374 | − | 0.193827i | ||||
\(383\) | −0.466482 | + | 0.807970i | −0.0238361 | + | 0.0412853i | −0.877697 | − | 0.479215i | \(-0.840921\pi\) |
0.853861 | + | 0.520501i | \(0.174255\pi\) | |||||||
\(384\) | −0.658919 | + | 0.658919i | −0.0336253 | + | 0.0336253i | ||||
\(385\) | 10.2230 | + | 1.32266i | 0.521014 | + | 0.0674089i | ||||
\(386\) | 3.67179 | + | 6.35972i | 0.186889 | + | 0.323701i | ||||
\(387\) | 0.225146 | − | 0.129988i | 0.0114448 | − | 0.00660767i | ||||
\(388\) | 9.12150 | + | 5.26630i | 0.463074 | + | 0.267356i | ||||
\(389\) | −20.4346 | + | 5.47544i | −1.03608 | + | 0.277616i | −0.736487 | − | 0.676452i | \(-0.763517\pi\) |
−0.299590 | + | 0.954068i | \(0.596850\pi\) | |||||||
\(390\) | −0.941408 | + | 7.27629i | −0.0476701 | + | 0.368449i | ||||
\(391\) | 35.8122 | − | 20.6762i | 1.81110 | − | 1.04564i | ||||
\(392\) | 3.92271 | − | 2.26478i | 0.198127 | − | 0.114388i | ||||
\(393\) | −13.2438 | −0.668061 | ||||||||
\(394\) | −0.0580423 | − | 0.216617i | −0.00292413 | − | 0.0109130i | ||||
\(395\) | −5.06763 | − | 0.655652i | −0.254980 | − | 0.0329894i | ||||
\(396\) | 6.25213 | 0.314181 | ||||||||
\(397\) | 19.1197 | + | 19.1197i | 0.959591 | + | 0.959591i | 0.999215 | − | 0.0396237i | \(-0.0126159\pi\) |
−0.0396237 | + | 0.999215i | \(0.512616\pi\) | |||||||
\(398\) | −14.7614 | − | 3.95530i | −0.739922 | − | 0.198261i | ||||
\(399\) | 5.20905 | − | 5.20905i | 0.260778 | − | 0.260778i | ||||
\(400\) | 1.27250 | − | 4.83536i | 0.0636251 | − | 0.241768i | ||||
\(401\) | 6.34778 | + | 6.34778i | 0.316993 | + | 0.316993i | 0.847611 | − | 0.530618i | \(-0.178040\pi\) |
−0.530618 | + | 0.847611i | \(0.678040\pi\) | |||||||
\(402\) | −4.75495 | + | 8.23582i | −0.237155 | + | 0.410765i | ||||
\(403\) | −16.8958 | + | 4.52722i | −0.841641 | + | 0.225517i | ||||
\(404\) | −4.87619 | − | 2.81527i | −0.242599 | − | 0.140065i | ||||
\(405\) | −3.43369 | + | 2.64697i | −0.170621 | + | 0.131529i | ||||
\(406\) | 9.97641i | 0.495121i | ||||||||
\(407\) | −16.2392 | + | 7.38775i | −0.804948 | + | 0.366197i | ||||
\(408\) | 4.84121 | + | 4.84121i | 0.239676 | + | 0.239676i | ||||
\(409\) | 19.4346 | + | 5.20748i | 0.960977 | + | 0.257493i | 0.705014 | − | 0.709193i | \(-0.250941\pi\) |
0.255963 | + | 0.966687i | \(0.417607\pi\) | |||||||
\(410\) | 5.13280 | − | 12.4704i | 0.253491 | − | 0.615869i | ||||
\(411\) | 14.9601 | + | 8.63721i | 0.737927 | + | 0.426042i | ||||
\(412\) | −7.89316 | − | 4.55712i | −0.388868 | − | 0.224513i | ||||
\(413\) | −22.5517 | −1.10970 | ||||||||
\(414\) | 10.3902 | + | 5.99880i | 0.510652 | + | 0.294825i | ||||
\(415\) | −17.7662 | + | 23.2608i | −0.872108 | + | 1.14183i | ||||
\(416\) | −1.76057 | − | 3.04940i | −0.0863190 | − | 0.149509i | ||||
\(417\) | 1.86781 | − | 1.86781i | 0.0914671 | − | 0.0914671i | ||||
\(418\) | 10.4312 | − | 10.4312i | 0.510207 | − | 0.510207i | ||||
\(419\) | −30.3057 | + | 17.4970i | −1.48053 | + | 0.854784i | −0.999757 | − | 0.0220619i | \(-0.992977\pi\) |
−0.480772 | + | 0.876846i | \(0.659644\pi\) | |||||||
\(420\) | −1.24655 | + | 3.02856i | −0.0608254 | + | 0.147778i | ||||
\(421\) | −27.2704 | − | 27.2704i | −1.32908 | − | 1.32908i | −0.906173 | − | 0.422907i | \(-0.861010\pi\) |
−0.422907 | − | 0.906173i | \(-0.638990\pi\) | |||||||
\(422\) | 8.52065 | + | 14.7582i | 0.414779 | + | 0.718417i | ||||
\(423\) | 5.40675 | − | 20.1783i | 0.262885 | − | 0.981101i | ||||
\(424\) | −1.14500 | + | 4.27319i | −0.0556060 | + | 0.207524i | ||||
\(425\) | −35.5264 | − | 9.34933i | −1.72328 | − | 0.453509i | ||||
\(426\) | −1.73739 | − | 6.48403i | −0.0841769 | − | 0.314152i | ||||
\(427\) | 10.5138 | + | 18.2104i | 0.508798 | + | 0.881264i | ||||
\(428\) | 15.2140 | + | 4.07658i | 0.735396 | + | 0.197049i | ||||
\(429\) | 2.49079 | − | 9.29576i | 0.120257 | − | 0.448804i | ||||
\(430\) | 0.0361999 | + | 0.270298i | 0.00174571 | + | 0.0130349i | ||||
\(431\) | −14.6906 | + | 3.93634i | −0.707622 | + | 0.189607i | −0.594642 | − | 0.803991i | \(-0.702706\pi\) |
−0.112980 | + | 0.993597i | \(0.536040\pi\) | |||||||
\(432\) | −1.23766 | + | 4.61900i | −0.0595468 | + | 0.222232i | ||||
\(433\) | 17.9868 | + | 17.9868i | 0.864391 | + | 0.864391i | 0.991845 | − | 0.127454i | \(-0.0406805\pi\) |
−0.127454 | + | 0.991845i | \(0.540680\pi\) | |||||||
\(434\) | −7.80802 | −0.374797 | ||||||||
\(435\) | 8.07471 | + | 10.4746i | 0.387153 | + | 0.502220i | ||||
\(436\) | −0.0641601 | − | 0.0641601i | −0.00307271 | − | 0.00307271i | ||||
\(437\) | 27.3439 | − | 7.32677i | 1.30804 | − | 0.350487i | ||||
\(438\) | − | 6.14111i | − | 0.293434i | ||||||
\(439\) | 2.26417 | + | 8.45001i | 0.108063 | + | 0.403297i | 0.998675 | − | 0.0514678i | \(-0.0163900\pi\) |
−0.890612 | + | 0.454765i | \(0.849723\pi\) | |||||||
\(440\) | −2.49624 | + | 6.06474i | −0.119003 | + | 0.289125i | ||||
\(441\) | 4.82771 | − | 8.36185i | 0.229891 | − | 0.398183i | ||||
\(442\) | −22.4045 | + | 12.9353i | −1.06568 | + | 0.615268i | ||||
\(443\) | 8.16811 | − | 8.16811i | 0.388078 | − | 0.388078i | −0.485923 | − | 0.874002i | \(-0.661517\pi\) |
0.874002 | + | 0.485923i | \(0.161517\pi\) | |||||||
\(444\) | −0.931852 | − | 5.59111i | −0.0442237 | − | 0.265342i | ||||
\(445\) | 2.90876 | + | 2.22166i | 0.137889 | + | 0.105317i | ||||
\(446\) | 4.43018 | − | 16.5336i | 0.209775 | − | 0.782891i | ||||
\(447\) | 6.37300 | − | 1.70764i | 0.301432 | − | 0.0807686i | ||||
\(448\) | −0.406803 | − | 1.51821i | −0.0192196 | − | 0.0717287i | ||||
\(449\) | −29.6170 | + | 7.93585i | −1.39771 | + | 0.374516i | −0.877523 | − | 0.479535i | \(-0.840805\pi\) |
−0.520190 | + | 0.854051i | \(0.674139\pi\) | |||||||
\(450\) | −2.80454 | − | 10.2827i | −0.132207 | − | 0.484729i | ||||
\(451\) | −8.84424 | + | 15.3187i | −0.416459 | + | 0.721328i | ||||
\(452\) | 8.80218i | 0.414020i | ||||||||
\(453\) | 0.483318 | − | 1.80377i | 0.0227083 | − | 0.0847484i | ||||
\(454\) | − | 20.8680i | − | 0.979382i | ||||||
\(455\) | −9.83480 | − | 7.51166i | −0.461063 | − | 0.352152i | ||||
\(456\) | 2.34345 | + | 4.05897i | 0.109742 | + | 0.190079i | ||||
\(457\) | 4.70033 | + | 2.71374i | 0.219872 | + | 0.126943i | 0.605891 | − | 0.795548i | \(-0.292817\pi\) |
−0.386019 | + | 0.922491i | \(0.626150\pi\) | |||||||
\(458\) | 22.2253i | 1.03852i | ||||||||
\(459\) | 33.9367 | + | 9.09332i | 1.58403 | + | 0.424440i | ||||
\(460\) | −9.96743 | + | 7.68372i | −0.464734 | + | 0.358255i | ||||
\(461\) | 31.0217 | + | 8.31225i | 1.44483 | + | 0.387140i | 0.894221 | − | 0.447626i | \(-0.147730\pi\) |
0.550605 | + | 0.834766i | \(0.314397\pi\) | |||||||
\(462\) | 2.14791 | − | 3.72029i | 0.0999298 | − | 0.173084i | ||||
\(463\) | −0.398756 | + | 0.690666i | −0.0185318 | + | 0.0320980i | −0.875143 | − | 0.483865i | \(-0.839233\pi\) |
0.856611 | + | 0.515963i | \(0.172566\pi\) | |||||||
\(464\) | −6.13098 | − | 1.64279i | −0.284624 | − | 0.0762647i | ||||
\(465\) | −8.19794 | + | 6.31965i | −0.380170 | + | 0.293067i | ||||
\(466\) | −14.6713 | − | 3.93118i | −0.679637 | − | 0.182108i | ||||
\(467\) | 13.7789i | 0.637610i | 0.947820 | + | 0.318805i | \(0.103282\pi\) | ||||
−0.947820 | + | 0.318805i | \(0.896718\pi\) | |||||||
\(468\) | −6.50025 | − | 3.75292i | −0.300474 | − | 0.173479i | ||||
\(469\) | −8.02024 | − | 13.8915i | −0.370340 | − | 0.641448i | ||||
\(470\) | 17.4148 | + | 13.3011i | 0.803284 | + | 0.613535i | ||||
\(471\) | − | 3.95750i | − | 0.182352i | ||||||
\(472\) | 3.71354 | − | 13.8591i | 0.170929 | − | 0.637917i | ||||
\(473\) | − | 0.357708i | − | 0.0164474i | ||||||
\(474\) | −1.06474 | + | 1.84418i | −0.0489049 | + | 0.0847058i | ||||
\(475\) | −21.8350 | − | 12.4767i | −1.00186 | − | 0.572470i | ||||
\(476\) | −11.1546 | + | 2.98887i | −0.511270 | + | 0.136995i | ||||
\(477\) | 2.44074 | + | 9.10896i | 0.111754 | + | 0.417070i | ||||
\(478\) | 17.0725 | − | 4.57456i | 0.780878 | − | 0.209236i | ||||
\(479\) | −6.36828 | + | 23.7667i | −0.290974 | + | 1.08593i | 0.653388 | + | 0.757023i | \(0.273347\pi\) |
−0.944362 | + | 0.328907i | \(0.893320\pi\) | |||||||
\(480\) | −1.65593 | − | 1.26477i | −0.0755824 | − | 0.0577286i | ||||
\(481\) | 21.3183 | + | 2.06687i | 0.972030 | + | 0.0942411i | ||||
\(482\) | −8.63524 | + | 8.63524i | −0.393324 | + | 0.393324i | ||||
\(483\) | 7.13910 | − | 4.12176i | 0.324840 | − | 0.187547i | ||||
\(484\) | −1.19877 | + | 2.07633i | −0.0544895 | + | 0.0943787i | ||||
\(485\) | −8.96417 | + | 21.7789i | −0.407042 | + | 0.988930i | ||||
\(486\) | 4.18060 | + | 15.6022i | 0.189636 | + | 0.707730i | ||||
\(487\) | − | 2.56582i | − | 0.116268i | −0.998309 | − | 0.0581342i | \(-0.981485\pi\) | ||
0.998309 | − | 0.0581342i | \(-0.0185151\pi\) | |||||||
\(488\) | −12.9225 | + | 3.46256i | −0.584972 | + | 0.156743i | ||||
\(489\) | −10.7896 | − | 10.7896i | −0.487923 | − | 0.487923i | ||||
\(490\) | 6.18371 | + | 8.02159i | 0.279351 | + | 0.362379i | ||||
\(491\) | −13.1617 | −0.593977 | −0.296989 | − | 0.954881i | \(-0.595982\pi\) | ||||
−0.296989 | + | 0.954881i | \(0.595982\pi\) | |||||||
\(492\) | −3.97385 | − | 3.97385i | −0.179155 | − | 0.179155i | ||||
\(493\) | −12.0699 | + | 45.0456i | −0.543602 | + | 2.02875i | ||||
\(494\) | −17.1067 | + | 4.58372i | −0.769665 | + | 0.206231i | ||||
\(495\) | 1.85574 | + | 13.8565i | 0.0834094 | + | 0.622802i | ||||
\(496\) | 1.28573 | − | 4.79840i | 0.0577309 | − | 0.215455i | ||||
\(497\) | 10.9367 | + | 2.93048i | 0.490578 | + | 0.131450i | ||||
\(498\) | 6.09883 | + | 10.5635i | 0.273295 | + | 0.473361i | ||||
\(499\) | −4.40607 | − | 16.4437i | −0.197243 | − | 0.736121i | −0.991675 | − | 0.128767i | \(-0.958898\pi\) |
0.794432 | − | 0.607353i | \(-0.207769\pi\) | |||||||
\(500\) | 11.0942 | + | 1.38500i | 0.496149 | + | 0.0619390i | ||||
\(501\) | −0.214634 | + | 0.801025i | −0.00958914 | + | 0.0357872i | ||||
\(502\) | −1.69890 | + | 6.34039i | −0.0758258 | + | 0.282986i | ||||
\(503\) | −18.0966 | − | 31.3442i | −0.806887 | − | 1.39757i | −0.915010 | − | 0.403432i | \(-0.867817\pi\) |
0.108123 | − | 0.994138i | \(-0.465516\pi\) | |||||||
\(504\) | −2.36913 | − | 2.36913i | −0.105530 | − | 0.105530i | ||||
\(505\) | 4.79208 | − | 11.6426i | 0.213245 | − | 0.518090i | ||||
\(506\) | 14.2962 | − | 8.25390i | 0.635543 | − | 0.366931i | ||||
\(507\) | 0.396394 | − | 0.396394i | 0.0176045 | − | 0.0176045i | ||||
\(508\) | 7.23505 | − | 7.23505i | 0.321003 | − | 0.321003i | ||||
\(509\) | −2.37361 | − | 4.11122i | −0.105208 | − | 0.182226i | 0.808615 | − | 0.588338i | \(-0.200218\pi\) |
−0.913823 | + | 0.406112i | \(0.866884\pi\) | |||||||
\(510\) | −9.29253 | + | 12.1664i | −0.411480 | + | 0.538739i | ||||
\(511\) | 8.97054 | + | 5.17914i | 0.396833 | + | 0.229112i | ||||
\(512\) | 1.00000 | 0.0441942 | ||||||||
\(513\) | 20.8292 | + | 12.0258i | 0.919633 | + | 0.530950i | ||||
\(514\) | −5.17253 | − | 2.98636i | −0.228150 | − | 0.131723i | ||||
\(515\) | 7.75702 | − | 18.8461i | 0.341815 | − | 0.830458i | ||||
\(516\) | 0.109776 | + | 0.0294144i | 0.00483263 | + | 0.00129490i | ||||
\(517\) | −20.3245 | − | 20.3245i | −0.893871 | − | 0.893871i | ||||
\(518\) | 8.95302 | + | 3.35411i | 0.393373 | + | 0.147371i | ||||
\(519\) | 22.5995i | 0.992009i | ||||||||
\(520\) | 6.23575 | − | 4.80703i | 0.273456 | − | 0.210802i | ||||
\(521\) | −10.3720 | − | 5.98827i | −0.454405 | − | 0.262351i | 0.255284 | − | 0.966866i | \(-0.417831\pi\) |
−0.709689 | + | 0.704515i | \(0.751164\pi\) | |||||||
\(522\) | −13.0691 | + | 3.50186i | −0.572020 | + | 0.153272i | ||||
\(523\) | 11.5801 | − | 20.0573i | 0.506361 | − | 0.877044i | −0.493612 | − | 0.869683i | \(-0.664324\pi\) |
0.999973 | − | 0.00736112i | \(-0.00234314\pi\) | |||||||
\(524\) | 10.0496 | + | 10.0496i | 0.439021 | + | 0.439021i | ||||
\(525\) | −7.08213 | − | 1.86377i | −0.309090 | − | 0.0813417i | ||||
\(526\) | 11.6276 | − | 11.6276i | 0.506986 | − | 0.506986i | ||||
\(527\) | −35.2548 | − | 9.44651i | −1.53573 | − | 0.411496i | ||||
\(528\) | 1.93261 | + | 1.93261i | 0.0841058 | + | 0.0841058i | ||||
\(529\) | 8.67787 | 0.377299 | ||||||||
\(530\) | −9.81044 | − | 1.26928i | −0.426138 | − | 0.0551339i | ||||
\(531\) | −7.91597 | − | 29.5428i | −0.343524 | − | 1.28205i | ||||
\(532\) | −7.90545 | −0.342745 | ||||||||
\(533\) | 18.3905 | − | 10.6178i | 0.796580 | − | 0.459906i | ||||
\(534\) | 1.32096 | − | 0.762659i | 0.0571637 | − | 0.0330035i | ||||
\(535\) | −4.51905 | + | 34.9285i | −0.195376 | + | 1.51009i | ||||
\(536\) | 9.85764 | − | 2.64135i | 0.425785 | − | 0.114089i | ||||
\(537\) | −1.56773 | − | 0.905131i | −0.0676526 | − | 0.0390593i | ||||
\(538\) | 20.7290 | − | 11.9679i | 0.893692 | − | 0.515973i | ||||
\(539\) | −6.64257 | − | 11.5053i | −0.286116 | − | 0.495567i | ||||
\(540\) | −10.6044 | − | 1.37199i | −0.456339 | − | 0.0590412i | ||||
\(541\) | 3.65214 | − | 3.65214i | 0.157018 | − | 0.157018i | −0.624226 | − | 0.781244i | \(-0.714586\pi\) |
0.781244 | + | 0.624226i | \(0.214586\pi\) | |||||||
\(542\) | 2.74456 | − | 4.75371i | 0.117889 | − | 0.204189i | ||||
\(543\) | 7.55731 | + | 2.02497i | 0.324315 | + | 0.0868999i | ||||
\(544\) | − | 7.34721i | − | 0.315009i | ||||||
\(545\) | 0.123153 | − | 0.161241i | 0.00527529 | − | 0.00690679i | ||||
\(546\) | −4.46631 | + | 2.57862i | −0.191140 | + | 0.110355i | ||||
\(547\) | −0.0217461 | −0.000929794 | −0.000464897 | − | 1.00000i | \(-0.500148\pi\) | ||||
−0.000464897 | 1.00000i | \(0.500148\pi\) | ||||||||
\(548\) | −4.79792 | − | 17.9061i | −0.204957 | − | 0.764910i | ||||
\(549\) | −20.1652 | + | 20.1652i | −0.860630 | + | 0.860630i | ||||
\(550\) | −14.1821 | − | 3.73224i | −0.604727 | − | 0.159143i | ||||
\(551\) | −15.9623 | + | 27.6475i | −0.680015 | + | 1.17782i | ||||
\(552\) | 1.35744 | + | 5.06604i | 0.0577765 | + | 0.215625i | ||||
\(553\) | −1.79590 | − | 3.11060i | −0.0763696 | − | 0.132276i | ||||
\(554\) | −6.42981 | −0.273176 | ||||||||
\(555\) | 12.1149 | − | 3.72479i | 0.514248 | − | 0.158108i | ||||
\(556\) | −2.83466 | −0.120216 | ||||||||
\(557\) | −7.29764 | − | 12.6399i | −0.309211 | − | 0.535569i | 0.668979 | − | 0.743281i | \(-0.266732\pi\) |
−0.978190 | + | 0.207712i | \(0.933398\pi\) | |||||||
\(558\) | −2.74072 | − | 10.2285i | −0.116024 | − | 0.433008i | ||||
\(559\) | −0.214719 | + | 0.371904i | −0.00908165 | + | 0.0157299i | ||||
\(560\) | 3.24403 | − | 1.35222i | 0.137085 | − | 0.0571418i | ||||
\(561\) | 14.1993 | − | 14.1993i | 0.599493 | − | 0.599493i | ||||
\(562\) | −2.46400 | − | 9.19576i | −0.103937 | − | 0.387900i | ||||
\(563\) | −37.7602 | −1.59140 | −0.795701 | − | 0.605689i | \(-0.792898\pi\) | ||||
−0.795701 | + | 0.605689i | \(0.792898\pi\) | |||||||
\(564\) | 7.90863 | − | 4.56605i | 0.333013 | − | 0.192265i | ||||
\(565\) | −19.5081 | + | 2.61264i | −0.820712 | + | 0.109915i | ||||
\(566\) | 4.42698i | 0.186080i | ||||||||
\(567\) | −2.94366 | − | 0.788750i | −0.123622 | − | 0.0331244i | ||||
\(568\) | −3.60184 | + | 6.23857i | −0.151130 | + | 0.261765i | ||||
\(569\) | −15.3159 | + | 15.3159i | −0.642078 | + | 0.642078i | −0.951066 | − | 0.308988i | \(-0.900010\pi\) |
0.308988 | + | 0.951066i | \(0.400010\pi\) | |||||||
\(570\) | −8.30024 | + | 6.39851i | −0.347659 | + | 0.268004i | ||||
\(571\) | 7.22739 | + | 12.5182i | 0.302457 | + | 0.523871i | 0.976692 | − | 0.214646i | \(-0.0688598\pi\) |
−0.674235 | + | 0.738517i | \(0.735526\pi\) | |||||||
\(572\) | −8.94386 | + | 5.16374i | −0.373962 | + | 0.215907i | ||||
\(573\) | −11.8121 | − | 6.81973i | −0.493458 | − | 0.284898i | ||||
\(574\) | 9.15611 | − | 2.45337i | 0.382169 | − | 0.102402i | ||||
\(575\) | −19.9878 | − | 19.8100i | −0.833549 | − | 0.826133i | ||||
\(576\) | 1.84607 | − | 1.06583i | 0.0769194 | − | 0.0444094i | ||||
\(577\) | 23.3137 | − | 13.4602i | 0.970561 | − | 0.560354i | 0.0711536 | − | 0.997465i | \(-0.477332\pi\) |
0.899407 | + | 0.437112i | \(0.143999\pi\) | |||||||
\(578\) | −36.9815 | −1.53823 | ||||||||
\(579\) | 1.77113 | + | 6.60995i | 0.0736056 | + | 0.274700i | ||||
\(580\) | 1.82110 | − | 14.0756i | 0.0756172 | − | 0.584457i | ||||
\(581\) | −20.5740 | −0.853551 | ||||||||
\(582\) | 6.94012 | + | 6.94012i | 0.287677 | + | 0.287677i | ||||
\(583\) | 12.5332 | + | 3.35827i | 0.519074 | + | 0.139085i | ||||
\(584\) | −4.65999 | + | 4.65999i | −0.192832 | + | 0.192832i | ||||
\(585\) | 6.38814 | − | 15.5203i | 0.264117 | − | 0.641686i | ||||
\(586\) | −7.81513 | − | 7.81513i | −0.322840 | − | 0.322840i | ||||
\(587\) | −2.44024 | + | 4.22662i | −0.100720 | + | 0.174451i | −0.911981 | − | 0.410232i | \(-0.865448\pi\) |
0.811262 | + | 0.584683i | \(0.198781\pi\) | |||||||
\(588\) | 4.07705 | − | 1.09244i | 0.168135 | − | 0.0450515i | ||||
\(589\) | −21.6382 | − | 12.4928i | −0.891588 | − | 0.514758i | ||||
\(590\) | 31.8179 | + | 4.11661i | 1.30992 | + | 0.169478i | ||||
\(591\) | − | 0.208976i | − | 0.00859610i | ||||||
\(592\) | −3.53553 | + | 4.94975i | −0.145310 | + | 0.203433i | ||||
\(593\) | 23.1112 | + | 23.1112i | 0.949065 | + | 0.949065i | 0.998764 | − | 0.0496992i | \(-0.0158263\pi\) |
−0.0496992 | + | 0.998764i | \(0.515826\pi\) | |||||||
\(594\) | 13.5475 | + | 3.63004i | 0.555861 | + | 0.148942i | ||||
\(595\) | −9.93505 | − | 23.8346i | −0.407297 | − | 0.977123i | ||||
\(596\) | −6.13174 | − | 3.54016i | −0.251166 | − | 0.145011i | ||||
\(597\) | −12.3328 | − | 7.12033i | −0.504747 | − | 0.291416i | ||||
\(598\) | −19.8181 | −0.810421 | ||||||||
\(599\) | 12.9840 | + | 7.49632i | 0.530512 | + | 0.306291i | 0.741225 | − | 0.671257i | \(-0.234245\pi\) |
−0.210713 | + | 0.977548i | \(0.567578\pi\) | |||||||
\(600\) | 2.31158 | − | 4.04541i | 0.0943697 | − | 0.165153i | ||||
\(601\) | −22.8349 | − | 39.5511i | −0.931453 | − | 1.61332i | −0.780840 | − | 0.624731i | \(-0.785208\pi\) |
−0.150613 | − | 0.988593i | \(-0.548125\pi\) | |||||||
\(602\) | −0.135547 | + | 0.135547i | −0.00552449 | + | 0.00552449i | ||||
\(603\) | 15.3826 | − | 15.3826i | 0.626429 | − | 0.626429i | ||||
\(604\) | −1.73548 | + | 1.00198i | −0.0706159 | + | 0.0407701i | ||||
\(605\) | −4.95755 | − | 2.04052i | −0.201553 | − | 0.0829589i | ||||
\(606\) | −3.71006 | − | 3.71006i | −0.150711 | − | 0.150711i | ||||
\(607\) | −11.3723 | − | 19.6974i | −0.461588 | − | 0.799495i | 0.537452 | − | 0.843294i | \(-0.319387\pi\) |
−0.999040 | + | 0.0437998i | \(0.986054\pi\) | |||||||
\(608\) | 1.30177 | − | 4.85828i | 0.0527938 | − | 0.197029i | ||||
\(609\) | −2.40612 | + | 8.97976i | −0.0975009 | + | 0.363878i | ||||
\(610\) | −11.5096 | − | 27.6120i | −0.466011 | − | 1.11798i | ||||
\(611\) | 8.93106 | + | 33.3312i | 0.361312 | + | 1.34843i | ||||
\(612\) | −7.83085 | − | 13.5634i | −0.316543 | − | 0.548269i | ||||
\(613\) | 22.7510 | + | 6.09611i | 0.918904 | + | 0.246219i | 0.687117 | − | 0.726547i | \(-0.258876\pi\) |
0.231787 | + | 0.972767i | \(0.425543\pi\) | |||||||
\(614\) | 0.443669 | − | 1.65579i | 0.0179050 | − | 0.0668224i | ||||
\(615\) | 7.62765 | − | 9.98667i | 0.307577 | − | 0.402701i | ||||
\(616\) | −4.45290 | + | 1.19315i | −0.179413 | + | 0.0480734i | ||||
\(617\) | −4.76975 | + | 17.8010i | −0.192023 | + | 0.716640i | 0.800994 | + | 0.598672i | \(0.204305\pi\) |
−0.993017 | + | 0.117968i | \(0.962362\pi\) | |||||||
\(618\) | −6.00554 | − | 6.00554i | −0.241578 | − | 0.241578i | ||||
\(619\) | −18.4779 | −0.742690 | −0.371345 | − | 0.928495i | \(-0.621103\pi\) | ||||
−0.371345 | + | 0.928495i | \(0.621103\pi\) | |||||||
\(620\) | 11.0162 | + | 1.42528i | 0.442422 | + | 0.0572407i | ||||
\(621\) | 19.0312 | + | 19.0312i | 0.763697 | + | 0.763697i | ||||
\(622\) | 18.4661 | − | 4.94798i | 0.740424 | − | 0.198396i | ||||
\(623\) | 2.57278i | 0.103076i | ||||||||
\(624\) | −0.849232 | − | 3.16938i | −0.0339965 | − | 0.126877i | ||||
\(625\) | 0.223417 | + | 24.9990i | 0.00893670 | + | 0.999960i | ||||
\(626\) | 3.96998 | − | 6.87620i | 0.158672 | − | 0.274828i | ||||
\(627\) | 11.9049 | − | 6.87332i | 0.475437 | − | 0.274494i | ||||
\(628\) | −3.00302 | + | 3.00302i | −0.119834 | + | 0.119834i | ||||
\(629\) | 36.3668 | + | 25.9763i | 1.45004 | + | 1.03574i | ||||
\(630\) | 4.54746 | − | 5.95386i | 0.181175 | − | 0.237208i | ||||
\(631\) | 2.71340 | − | 10.1266i | 0.108019 | − | 0.403132i | −0.890651 | − | 0.454687i | \(-0.849751\pi\) |
0.998670 | + | 0.0515551i | \(0.0164178\pi\) | |||||||
\(632\) | 2.20734 | − | 0.591454i | 0.0878032 | − | 0.0235268i | ||||
\(633\) | 4.11003 | + | 15.3389i | 0.163359 | + | 0.609665i | ||||
\(634\) | 5.36333 | − | 1.43710i | 0.213005 | − | 0.0570745i | ||||
\(635\) | 18.1824 | + | 13.8874i | 0.721546 | + | 0.551105i | ||||
\(636\) | −2.06122 | + | 3.57014i | −0.0817329 | + | 0.141565i | ||||
\(637\) | 15.9492i | 0.631929i | ||||||||
\(638\) | −4.81830 | + | 17.9821i | −0.190758 | + | 0.711920i | ||||
\(639\) | 15.3558i | 0.607464i | ||||||||
\(640\) | 0.296818 | + | 2.21628i | 0.0117328 | + | 0.0876062i | ||||
\(641\) | 14.5032 | + | 25.1202i | 0.572841 | + | 0.992190i | 0.996272 | + | 0.0862619i | \(0.0274922\pi\) |
−0.423431 | + | 0.905928i | \(0.639174\pi\) | |||||||
\(642\) | 12.7109 | + | 7.33865i | 0.501660 | + | 0.289633i | ||||
\(643\) | − | 18.3641i | − | 0.724208i | −0.932138 | − | 0.362104i | \(-0.882058\pi\) | ||
0.932138 | − | 0.362104i | \(-0.117942\pi\) | |||||||
\(644\) | −8.54495 | − | 2.28961i | −0.336718 | − | 0.0902234i | ||||
\(645\) | −0.0326071 | + | 0.252026i | −0.00128390 | + | 0.00992350i | ||||
\(646\) | −35.6948 | − | 9.56438i | −1.40439 | − | 0.376306i | ||||
\(647\) | −5.56903 | + | 9.64584i | −0.218941 | + | 0.379217i | −0.954484 | − | 0.298261i | \(-0.903594\pi\) |
0.735543 | + | 0.677478i | \(0.236927\pi\) | |||||||
\(648\) | 0.969450 | − | 1.67914i | 0.0380836 | − | 0.0659627i | ||||
\(649\) | −40.6487 | − | 10.8918i | −1.59560 | − | 0.427540i | ||||
\(650\) | 12.5046 | + | 12.3934i | 0.490471 | + | 0.486107i | ||||
\(651\) | −7.02799 | − | 1.88314i | −0.275449 | − | 0.0738063i | ||||
\(652\) | 16.3747i | 0.641284i | ||||||||
\(653\) | −15.3702 | − | 8.87397i | −0.601481 | − | 0.347265i | 0.168143 | − | 0.985763i | \(-0.446223\pi\) |
−0.769624 | + | 0.638497i | \(0.779556\pi\) | |||||||
\(654\) | −0.0422763 | − | 0.0732246i | −0.00165313 | − | 0.00286331i | ||||
\(655\) | −19.2899 | + | 25.2557i | −0.753719 | + | 0.986823i | ||||
\(656\) | 6.03086i | 0.235466i | ||||||||
\(657\) | −3.63591 | + | 13.5694i | −0.141850 | + | 0.529392i | ||||
\(658\) | 15.4032i | 0.600480i | ||||||||
\(659\) | 11.2361 | − | 19.4615i | 0.437696 | − | 0.758111i | −0.559816 | − | 0.828617i | \(-0.689128\pi\) |
0.997511 | + | 0.0705059i | \(0.0224614\pi\) | |||||||
\(660\) | −3.70956 | + | 4.85683i | −0.144395 | + | 0.189052i | ||||
\(661\) | 5.13903 | − | 1.37700i | 0.199885 | − | 0.0535590i | −0.157487 | − | 0.987521i | \(-0.550339\pi\) |
0.357372 | + | 0.933962i | \(0.383673\pi\) | |||||||
\(662\) | 1.30074 | + | 4.85442i | 0.0505546 | + | 0.188672i | ||||
\(663\) | −23.2861 | + | 6.23948i | −0.904356 | + | 0.242321i | ||||
\(664\) | 3.38786 | − | 12.6437i | 0.131475 | − | 0.490670i | ||||
\(665\) | −2.34648 | − | 17.5207i | −0.0909925 | − | 0.679423i | ||||
\(666\) | −1.25126 | + | 12.9058i | −0.0484852 | + | 0.500090i | ||||
\(667\) | −25.2609 | + | 25.2609i | −0.978107 | + | 0.978107i | ||||
\(668\) | 0.770702 | − | 0.444965i | 0.0298193 | − | 0.0172162i | ||||
\(669\) | 7.97520 | − | 13.8134i | 0.308339 | − | 0.534059i | ||||
\(670\) | 8.77989 | + | 21.0633i | 0.339197 | + | 0.813746i | ||||
\(671\) | 10.1557 | + | 37.9015i | 0.392055 | + | 1.46317i | ||||
\(672\) | − | 1.46465i | − | 0.0565002i | ||||||
\(673\) | 31.8646 | − | 8.53810i | 1.22829 | − | 0.329120i | 0.414377 | − | 0.910105i | \(-0.363999\pi\) |
0.813914 | + | 0.580986i | \(0.197333\pi\) | |||||||
\(674\) | 3.06792 | + | 3.06792i | 0.118172 | + | 0.118172i | ||||
\(675\) | −0.106838 | − | 23.9095i | −0.00411219 | − | 0.920275i | ||||
\(676\) | −0.601582 | −0.0231378 | ||||||||
\(677\) | 19.9842 | + | 19.9842i | 0.768054 | + | 0.768054i | 0.977764 | − | 0.209710i | \(-0.0672519\pi\) |
−0.209710 | + | 0.977764i | \(0.567252\pi\) | |||||||
\(678\) | −2.12292 | + | 7.92284i | −0.0815302 | + | 0.304275i | ||||
\(679\) | −15.9907 | + | 4.28469i | −0.613666 | + | 0.164431i | ||||
\(680\) | 16.2835 | − | 2.18078i | 0.624443 | − | 0.0836292i | ||||
\(681\) | 5.03296 | − | 18.7832i | 0.192863 | − | 0.719776i | ||||
\(682\) | −14.0737 | − | 3.77103i | −0.538909 | − | 0.144400i | ||||
\(683\) | 7.03614 | + | 12.1870i | 0.269231 | + | 0.466321i | 0.968663 | − | 0.248377i | \(-0.0798973\pi\) |
−0.699433 | + | 0.714698i | \(0.746564\pi\) | |||||||
\(684\) | −2.77492 | − | 10.3562i | −0.106102 | − | 0.395977i | ||||
\(685\) | 38.2608 | − | 15.9484i | 1.46187 | − | 0.609357i | ||||
\(686\) | −4.69026 | + | 17.5043i | −0.179075 | + | 0.668316i | ||||
\(687\) | −5.36033 | + | 20.0050i | −0.204509 | + | 0.763239i | ||||
\(688\) | −0.0609800 | − | 0.105621i | −0.00232484 | − | 0.00402674i | ||||
\(689\) | −11.0148 | − | 11.0148i | −0.419630 | − | 0.419630i | ||||
\(690\) | −10.8249 | + | 4.51216i | −0.412095 | + | 0.171775i | ||||
\(691\) | −2.58337 | + | 1.49151i | −0.0982761 | + | 0.0567398i | −0.548333 | − | 0.836260i | \(-0.684737\pi\) |
0.450056 | + | 0.893000i | \(0.351404\pi\) | |||||||
\(692\) | 17.1489 | − | 17.1489i | 0.651905 | − | 0.651905i | ||||
\(693\) | −6.94866 | + | 6.94866i | −0.263958 | + | 0.263958i | ||||
\(694\) | 7.51038 | + | 13.0084i | 0.285090 | + | 0.493791i | ||||
\(695\) | −0.841378 | − | 6.28241i | −0.0319153 | − | 0.238305i | ||||
\(696\) | −5.12228 | − | 2.95735i | −0.194160 | − | 0.112098i | ||||
\(697\) | 44.3100 | 1.67836 | ||||||||
\(698\) | −28.7916 | − | 16.6228i | −1.08978 | − | 0.629183i | ||||
\(699\) | −12.2575 | − | 7.07690i | −0.463623 | − | 0.267673i | ||||
\(700\) | 3.95979 | + | 6.78832i | 0.149666 | + | 0.256574i | ||||
\(701\) | 29.7954 | + | 7.98366i | 1.12536 | + | 0.301539i | 0.773050 | − | 0.634345i | \(-0.218730\pi\) |
0.352308 | + | 0.935884i | \(0.385397\pi\) | |||||||
\(702\) | −11.9062 | − | 11.9062i | −0.449370 | − | 0.449370i | ||||
\(703\) | 19.4448 | + | 23.6200i | 0.733374 | + | 0.890847i | ||||
\(704\) | − | 2.93300i | − | 0.110541i | ||||||
\(705\) | 12.4671 | + | 16.1724i | 0.469537 | + | 0.609090i | ||||
\(706\) | −8.41266 | − | 4.85705i | −0.316615 | − | 0.182798i | ||||
\(707\) | 8.54833 | − | 2.29052i | 0.321493 | − | 0.0861438i | ||||
\(708\) | 6.68511 | − | 11.5789i | 0.251242 | − | 0.435163i | ||||
\(709\) | 16.6390 | + | 16.6390i | 0.624890 | + | 0.624890i | 0.946778 | − | 0.321888i | \(-0.104317\pi\) |
−0.321888 | + | 0.946778i | \(0.604317\pi\) | |||||||
\(710\) | −14.8955 | − | 6.13097i | −0.559019 | − | 0.230091i | ||||
\(711\) | 3.44450 | − | 3.44450i | 0.129179 | − | 0.129179i | ||||
\(712\) | −1.58109 | − | 0.423653i | −0.0592540 | − | 0.0158771i | ||||
\(713\) | −19.7704 | − | 19.7704i | −0.740408 | − | 0.740408i | ||||
\(714\) | −10.7611 | −0.402725 | ||||||||
\(715\) | −14.0990 | − | 18.2894i | −0.527273 | − | 0.683985i | ||||
\(716\) | 0.502795 | + | 1.87646i | 0.0187903 | + | 0.0701264i | ||||
\(717\) | 16.4703 | 0.615093 | ||||||||
\(718\) | −26.6457 | + | 15.3839i | −0.994407 | + | 0.574121i | ||||
\(719\) | 25.6555 | − | 14.8122i | 0.956788 | − | 0.552402i | 0.0616050 | − | 0.998101i | \(-0.480378\pi\) |
0.895183 | + | 0.445699i | \(0.147045\pi\) | |||||||
\(720\) | 2.91011 | + | 3.77504i | 0.108454 | + | 0.140688i | ||||
\(721\) | 13.8373 | − | 3.70770i | 0.515329 | − | 0.138082i | ||||
\(722\) | −5.45375 | − | 3.14872i | −0.202968 | − | 0.117183i | ||||
\(723\) | −9.85523 | + | 5.68992i | −0.366520 | + | 0.211610i | ||||
\(724\) | −4.19804 | − | 7.27122i | −0.156019 | − | 0.270233i | ||||
\(725\) | 31.7360 | − | 0.141810i | 1.17864 | − | 0.00526670i | ||||
\(726\) | −1.57978 | + | 1.57978i | −0.0586313 | + | 0.0586313i | ||||
\(727\) | 5.22531 | − | 9.05050i | 0.193796 | − | 0.335664i | −0.752709 | − | 0.658353i | \(-0.771253\pi\) |
0.946505 | + | 0.322689i | \(0.104587\pi\) | |||||||
\(728\) | 5.34583 | + | 1.43241i | 0.198130 | + | 0.0530887i | ||||
\(729\) | 9.23511i | 0.342041i | ||||||||
\(730\) | −11.7110 | − | 8.94468i | −0.433444 | − | 0.331057i | ||||
\(731\) | −0.776016 | + | 0.448033i | −0.0287020 | + | 0.0165711i | ||||
\(732\) | −12.4666 | −0.460779 | ||||||||
\(733\) | 3.22387 | + | 12.0317i | 0.119077 | + | 0.444400i | 0.999560 | − | 0.0296781i | \(-0.00944823\pi\) |
−0.880483 | + | 0.474078i | \(0.842782\pi\) | |||||||
\(734\) | 2.31280 | − | 2.31280i | 0.0853672 | − | 0.0853672i | ||||
\(735\) | 3.63130 | + | 8.71162i | 0.133942 | + | 0.321333i | ||||
\(736\) | 2.81415 | − | 4.87426i | 0.103731 | − | 0.179668i | ||||
\(737\) | −7.74706 | − | 28.9124i | −0.285367 | − | 1.06500i | ||||
\(738\) | 6.42785 | + | 11.1334i | 0.236612 | + | 0.409825i | ||||
\(739\) | 40.2537 | 1.48075 | 0.740377 | − | 0.672191i | \(-0.234647\pi\) | ||||
0.740377 | + | 0.672191i | \(0.234647\pi\) | |||||||
\(740\) | −12.0194 | − | 6.36656i | −0.441843 | − | 0.234039i | ||||
\(741\) | −16.5032 | −0.606260 | ||||||||
\(742\) | −3.47669 | − | 6.02181i | −0.127633 | − | 0.221068i | ||||
\(743\) | 5.98149 | + | 22.3232i | 0.219440 | + | 0.818960i | 0.984556 | + | 0.175068i | \(0.0560147\pi\) |
−0.765117 | + | 0.643892i | \(0.777319\pi\) | |||||||
\(744\) | 2.31457 | − | 4.00894i | 0.0848561 | − | 0.146975i | ||||
\(745\) | 6.02598 | − | 14.6404i | 0.220775 | − | 0.536384i | ||||
\(746\) | −7.00360 | + | 7.00360i | −0.256420 | + | 0.256420i | ||||
\(747\) | −7.22175 | − | 26.9519i | −0.264230 | − | 0.986120i | ||||
\(748\) | −21.5493 | −0.787921 | ||||||||
\(749\) | −21.4397 | + | 12.3782i | −0.783388 | + | 0.452290i | ||||
\(750\) | 9.65187 | + | 3.92235i | 0.352436 | + | 0.143224i | ||||
\(751\) | − | 50.6072i | − | 1.84668i | −0.383978 | − | 0.923342i | \(-0.625446\pi\) | ||
0.383978 | − | 0.923342i | \(-0.374554\pi\) | |||||||
\(752\) | −9.46602 | − | 2.53641i | −0.345190 | − | 0.0924934i | ||||
\(753\) | −3.05836 | + | 5.29724i | −0.111453 | + | 0.193042i | ||||
\(754\) | 15.8035 | − | 15.8035i | 0.575531 | − | 0.575531i | ||||
\(755\) | −2.73580 | − | 3.54891i | −0.0995659 | − | 0.129158i | ||||
\(756\) | −3.75805 | − | 6.50913i | −0.136679 | − | 0.236735i | ||||
\(757\) | 24.9161 | − | 14.3853i | 0.905592 | − | 0.522844i | 0.0265820 | − | 0.999647i | \(-0.491538\pi\) |
0.879010 | + | 0.476803i | \(0.158204\pi\) | |||||||
\(758\) | −3.81839 | − | 2.20455i | −0.138690 | − | 0.0800727i | ||||
\(759\) | 14.8587 | − | 3.98137i | 0.539335 | − | 0.144515i | ||||
\(760\) | 11.1537 | + | 1.44307i | 0.404587 | + | 0.0523455i | ||||
\(761\) | −44.7436 | + | 25.8327i | −1.62195 | + | 0.936435i | −0.635555 | + | 0.772055i | \(0.719229\pi\) |
−0.986397 | + | 0.164380i | \(0.947438\pi\) | |||||||
\(762\) | 8.25722 | − | 4.76731i | 0.299127 | − | 0.172701i | ||||
\(763\) | 0.142616 | 0.00516304 | ||||||||
\(764\) | 3.78832 | + | 14.1382i | 0.137057 | + | 0.511502i | ||||
\(765\) | 27.7360 | − | 21.3812i | 1.00280 | − | 0.773040i | ||||
\(766\) | 0.932963 | 0.0337093 | ||||||||
\(767\) | 35.7240 | + | 35.7240i | 1.28992 | + | 1.28992i | ||||
\(768\) | 0.900100 | + | 0.241181i | 0.0324795 | + | 0.00870287i | ||||
\(769\) | 16.1997 | − | 16.1997i | 0.584175 | − | 0.584175i | −0.351873 | − | 0.936048i | \(-0.614455\pi\) |
0.936048 | + | 0.351873i | \(0.114455\pi\) | |||||||
\(770\) | −3.96606 | − | 9.51473i | −0.142927 | − | 0.342887i | ||||
\(771\) | −3.93554 | − | 3.93554i | −0.141735 | − | 0.141735i | ||||
\(772\) | 3.67179 | − | 6.35972i | 0.132150 | − | 0.228891i | ||||
\(773\) | −13.8683 | + | 3.71599i | −0.498807 | + | 0.133655i | −0.499446 | − | 0.866345i | \(-0.666463\pi\) |
0.000639177 | 1.00000i | \(0.499797\pi\) | ||||||||
\(774\) | −0.225146 | − | 0.129988i | −0.00809271 | − | 0.00467233i | ||||
\(775\) | 0.110987 | + | 24.8381i | 0.00398679 | + | 0.892211i | ||||
\(776\) | − | 10.5326i | − | 0.378098i | ||||||
\(777\) | 7.24966 | + | 5.17833i | 0.260080 | + | 0.185772i | ||||
\(778\) | 14.9592 | + | 14.9592i | 0.536313 | + | 0.536313i | ||||
\(779\) | 29.2996 | + | 7.85080i | 1.04977 | + | 0.281284i | ||||
\(780\) | 6.77216 | − | 2.82286i | 0.242482 | − | 0.101075i | ||||
\(781\) | 18.2977 | + | 10.5642i | 0.654743 | + | 0.378016i | ||||
\(782\) | −35.8122 | − | 20.6762i | −1.28064 | − | 0.739379i | ||||
\(783\) | −30.3522 | −1.08470 | ||||||||
\(784\) | −3.92271 | − | 2.26478i | −0.140097 | − | 0.0808848i | ||||
\(785\) | −7.54690 | − | 5.76419i | −0.269360 | − | 0.205733i | ||||
\(786\) | 6.62190 | + | 11.4695i | 0.236195 | + | 0.409102i | ||||
\(787\) | 29.2110 | − | 29.2110i | 1.04126 | − | 1.04126i | 0.0421490 | − | 0.999111i | \(-0.486580\pi\) |
0.999111 | − | 0.0421490i | \(-0.0134204\pi\) | |||||||
\(788\) | −0.158575 | + | 0.158575i | −0.00564899 | + | 0.00564899i | ||||
\(789\) | 13.2703 | − | 7.66163i | 0.472436 | − | 0.272761i | ||||
\(790\) | 1.96601 | + | 4.71652i | 0.0699473 | + | 0.167806i | ||||
\(791\) | −9.78280 | − | 9.78280i | −0.347836 | − | 0.347836i | ||||
\(792\) | −3.12606 | − | 5.41450i | −0.111080 | − | 0.192396i | ||||
\(793\) | 12.1922 | − | 45.5017i | 0.432956 | − | 1.61581i | ||||
\(794\) | 6.99830 | − | 26.1180i | 0.248360 | − | 0.926894i | ||||
\(795\) | −8.52425 | − | 3.50857i | −0.302324 | − | 0.124436i | ||||
\(796\) | 3.95530 | + | 14.7614i | 0.140192 | + | 0.523204i | ||||
\(797\) | 6.65946 | + | 11.5345i | 0.235890 | + | 0.408574i | 0.959531 | − | 0.281603i | \(-0.0908661\pi\) |
−0.723641 | + | 0.690177i | \(0.757533\pi\) | |||||||
\(798\) | −7.11569 | − | 1.90664i | −0.251893 | − | 0.0674944i | ||||
\(799\) | −18.6355 | + | 69.5488i | −0.659278 | + | 2.46046i | ||||
\(800\) | −4.82380 | + | 1.31566i | −0.170547 | + | 0.0465157i | ||||
\(801\) | −3.37034 | + | 0.903081i | −0.119085 | + | 0.0319088i | ||||
\(802\) | 2.32345 | − | 8.67122i | 0.0820438 | − | 0.306192i | ||||
\(803\) | 13.6677 | + | 13.6677i | 0.482324 | + | 0.482324i | ||||
\(804\) | 9.50990 | 0.335388 | ||||||||
\(805\) | 2.53813 | − | 19.6176i | 0.0894574 | − | 0.691430i | ||||
\(806\) | 12.3686 | + | 12.3686i | 0.435666 | + | 0.435666i | ||||
\(807\) | 21.5446 | − | 5.77286i | 0.758406 | − | 0.203214i | ||||
\(808\) | 5.63054i | 0.198082i | ||||||||
\(809\) | 9.47330 | + | 35.3548i | 0.333063 | + | 1.24301i | 0.905954 | + | 0.423377i | \(0.139155\pi\) |
−0.572890 | + | 0.819632i | \(0.694178\pi\) | |||||||
\(810\) | 4.00919 | + | 1.65018i | 0.140868 | + | 0.0579813i | ||||
\(811\) | −21.0046 | + | 36.3811i | −0.737572 | + | 1.27751i | 0.216014 | + | 0.976390i | \(0.430694\pi\) |
−0.953586 | + | 0.301122i | \(0.902639\pi\) | |||||||
\(812\) | 8.63982 | − | 4.98820i | 0.303198 | − | 0.175052i | ||||
\(813\) | 3.61688 | − | 3.61688i | 0.126850 | − | 0.126850i | ||||
\(814\) | 14.5176 | + | 10.3697i | 0.508841 | + | 0.363458i | ||||
\(815\) | −36.2910 | + | 4.86031i | −1.27122 | + | 0.170249i | ||||
\(816\) | 1.77201 | − | 6.61322i | 0.0620326 | − | 0.231509i | ||||
\(817\) | −0.592516 | + | 0.158764i | −0.0207295 | + | 0.00555445i | ||||
\(818\) | −5.20748 | − | 19.4346i | −0.182075 | − | 0.679514i | ||||
\(819\) | 11.3954 | − | 3.05340i | 0.398189 | − | 0.106694i | ||||
\(820\) | −13.3661 | + | 1.79007i | −0.466764 | + | 0.0625119i | ||||
\(821\) | 2.98081 | − | 5.16292i | 0.104031 | − | 0.180187i | −0.809311 | − | 0.587381i | \(-0.800159\pi\) |
0.913342 | + | 0.407193i | \(0.133493\pi\) | |||||||
\(822\) | − | 17.2744i | − | 0.602515i | ||||||
\(823\) | 2.40569 | − | 8.97814i | 0.0838569 | − | 0.312958i | −0.911238 | − | 0.411879i | \(-0.864872\pi\) |
0.995095 | + | 0.0989211i | \(0.0315392\pi\) | |||||||
\(824\) | 9.11424i | 0.317510i | ||||||||
\(825\) | −11.8652 | − | 6.77984i | −0.413092 | − | 0.236044i | ||||
\(826\) | 11.2759 | + | 19.5304i | 0.392337 | + | 0.679548i | ||||
\(827\) | 5.07087 | + | 2.92767i | 0.176331 | + | 0.101805i | 0.585568 | − | 0.810623i | \(-0.300872\pi\) |
−0.409236 | + | 0.912428i | \(0.634205\pi\) | |||||||
\(828\) | − | 11.9976i | − | 0.416945i | ||||||
\(829\) | 19.0703 | + | 5.10987i | 0.662339 | + | 0.177473i | 0.574301 | − | 0.818644i | \(-0.305274\pi\) |
0.0880376 | + | 0.996117i | \(0.471940\pi\) | |||||||
\(830\) | 29.0275 | + | 3.75559i | 1.00756 | + | 0.130358i | ||||
\(831\) | −5.78747 | − | 1.55075i | −0.200765 | − | 0.0537948i | ||||
\(832\) | −1.76057 | + | 3.04940i | −0.0610368 | + | 0.105719i | ||||
\(833\) | −16.6398 | + | 28.8209i | −0.576534 | + | 0.998586i | ||||
\(834\) | −2.55148 | − | 0.683667i | −0.0883505 | − | 0.0236734i | ||||
\(835\) | 1.21492 | + | 1.57602i | 0.0420442 | + | 0.0545403i | ||||
\(836\) | −14.2493 | − | 3.81809i | −0.492822 | − | 0.132051i | ||||
\(837\) | − | 23.7551i | − | 0.821096i | ||||||
\(838\) | 30.3057 | + | 17.4970i | 1.04689 | + | 0.604423i | ||||
\(839\) | −15.7686 | − | 27.3120i | −0.544393 | − | 0.942916i | −0.998645 | − | 0.0520430i | \(-0.983427\pi\) |
0.454252 | − | 0.890873i | \(-0.349907\pi\) | |||||||
\(840\) | 3.24608 | − | 0.434735i | 0.112000 | − | 0.0149998i | ||||
\(841\) | − | 11.2877i | − | 0.389231i | ||||||
\(842\) | −9.98168 | + | 37.2521i | −0.343991 | + | 1.28379i | ||||
\(843\) | − | 8.87137i | − | 0.305546i | ||||||
\(844\) | 8.52065 | − | 14.7582i | 0.293293 | − | 0.507998i | ||||
\(845\) | −0.178560 | − | 1.33327i | −0.00614266 | − | 0.0458660i | ||||
\(846\) | −20.1783 | + | 5.40675i | −0.693743 | + | 0.185888i | ||||
\(847\) | −0.975327 | − | 3.63997i | −0.0335126 | − | 0.125071i | ||||
\(848\) | 4.27319 | − | 1.14500i | 0.146742 | − | 0.0393194i | ||||
\(849\) | −1.06770 | + | 3.98472i | −0.0366435 | + | 0.136755i | ||||
\(850\) | 9.66645 | + | 35.4415i | 0.331557 | + | 1.21563i | ||||
\(851\) | 14.1768 | + | 31.1625i | 0.485975 | + | 1.06824i | ||||
\(852\) | −4.74664 | + | 4.74664i | −0.162617 | + | 0.162617i | ||||
\(853\) | 29.5887 | − | 17.0831i | 1.01310 | − | 0.584913i | 0.101001 | − | 0.994886i | \(-0.467795\pi\) |
0.912097 | + | 0.409974i | \(0.134462\pi\) | |||||||
\(854\) | 10.5138 | − | 18.2104i | 0.359774 | − | 0.623147i | ||||
\(855\) | 22.1285 | − | 9.22390i | 0.756779 | − | 0.315451i | ||||
\(856\) | −4.07658 | − | 15.2140i | −0.139335 | − | 0.520004i | ||||
\(857\) | − | 53.3292i | − | 1.82169i | −0.412749 | − | 0.910845i | \(-0.635431\pi\) | ||
0.412749 | − | 0.910845i | \(-0.364569\pi\) | |||||||
\(858\) | −9.29576 | + | 2.49079i | −0.317352 | + | 0.0850342i | ||||
\(859\) | −26.4548 | − | 26.4548i | −0.902625 | − | 0.902625i | 0.0930375 | − | 0.995663i | \(-0.470342\pi\) |
−0.995663 | + | 0.0930375i | \(0.970342\pi\) | |||||||
\(860\) | 0.215985 | − | 0.166499i | 0.00736502 | − | 0.00567757i | ||||
\(861\) | 8.83312 | 0.301032 | ||||||||
\(862\) | 10.7543 | + | 10.7543i | 0.366292 | + | 0.366292i | ||||
\(863\) | 7.05581 | − | 26.3326i | 0.240182 | − | 0.896373i | −0.735561 | − | 0.677458i | \(-0.763082\pi\) |
0.975744 | − | 0.218915i | \(-0.0702518\pi\) | |||||||
\(864\) | 4.61900 | − | 1.23766i | 0.157142 | − | 0.0421059i | ||||
\(865\) | 43.0970 | + | 32.9168i | 1.46534 | + | 1.11920i | ||||
\(866\) | 6.58363 | − | 24.5704i | 0.223721 | − | 0.834937i | ||||
\(867\) | −33.2870 | − | 8.91923i | −1.13049 | − | 0.302913i | ||||
\(868\) | 3.90401 | + | 6.76194i | 0.132511 | + | 0.229515i | ||||
\(869\) | −1.73473 | − | 6.47411i | −0.0588468 | − | 0.219619i | ||||
\(870\) | 5.03394 | − | 12.2302i | 0.170666 | − | 0.414643i | ||||
\(871\) | −9.30055 | + | 34.7101i | −0.315137 | + | 1.17611i | ||||
\(872\) | −0.0234842 | + | 0.0876443i | −0.000795276 | + | 0.00296801i | ||||
\(873\) | −11.2259 | − | 19.4439i | −0.379940 | − | 0.658075i | ||||
\(874\) | −20.0171 | − | 20.0171i | −0.677089 | − | 0.677089i | ||||
\(875\) | −13.8695 | + | 10.7909i | −0.468874 | + | 0.364799i | ||||
\(876\) | −5.31836 | + | 3.07055i | −0.179691 | + | 0.103744i | ||||
\(877\) | 15.8257 | − | 15.8257i | 0.534396 | − | 0.534396i | −0.387482 | − | 0.921877i | \(-0.626655\pi\) |
0.921877 | + | 0.387482i | \(0.126655\pi\) | |||||||
\(878\) | 6.18584 | − | 6.18584i | 0.208762 | − | 0.208762i | ||||
\(879\) | −5.14954 | − | 8.91926i | −0.173690 | − | 0.300839i | ||||
\(880\) | 6.50034 | − | 0.870565i | 0.219126 | − | 0.0293467i | ||||
\(881\) | −16.4840 | − | 9.51703i | −0.555359 | − | 0.320637i | 0.195921 | − | 0.980620i | \(-0.437230\pi\) |
−0.751281 | + | 0.659983i | \(0.770564\pi\) | |||||||
\(882\) | −9.65543 | −0.325115 | ||||||||
\(883\) | −10.2188 | − | 5.89985i | −0.343891 | − | 0.198546i | 0.318100 | − | 0.948057i | \(-0.396955\pi\) |
−0.661991 | + | 0.749511i | \(0.730289\pi\) | |||||||
\(884\) | 22.4045 | + | 12.9353i | 0.753546 | + | 0.435060i | ||||
\(885\) | 27.6465 | + | 11.3792i | 0.929325 | + | 0.382509i | ||||
\(886\) | −11.1578 | − | 2.98973i | −0.374855 | − | 0.100442i | ||||
\(887\) | −0.0228042 | − | 0.0228042i | −0.000765689 | − | 0.000765689i | 0.706724 | − | 0.707490i | \(-0.250172\pi\) |
−0.707490 | + | 0.706724i | \(0.750172\pi\) | |||||||
\(888\) | −4.37612 | + | 3.60256i | −0.146853 | + | 0.120894i | ||||
\(889\) | 16.0822i | 0.539378i | ||||||||
\(890\) | 0.469637 | − | 3.62990i | 0.0157423 | − | 0.121674i | ||||
\(891\) | −4.92490 | − | 2.84339i | −0.164990 | − | 0.0952572i | ||||
\(892\) | −16.5336 | + | 4.43018i | −0.553587 | + | 0.148333i | ||||
\(893\) | −24.6452 | + | 42.6867i | −0.824719 | + | 1.42846i | ||||
\(894\) | −4.66536 | − | 4.66536i | −0.156033 | − | 0.156033i | ||||
\(895\) | −4.00951 | + | 1.67130i | −0.134023 | + | 0.0558654i | ||||
\(896\) | −1.11141 | + | 1.11141i | −0.0371295 | + | 0.0371295i | ||||
\(897\) | −17.8382 | − | 4.77974i | −0.595601 | − | 0.159591i | ||||
\(898\) | 21.6811 | + | 21.6811i | 0.723509 | + | 0.723509i | ||||
\(899\) | 31.5311 | 1.05162 | ||||||||
\(900\) | −7.50278 | + | 7.57013i | −0.250093 | + | 0.252338i | ||||
\(901\) | −8.41254 | − | 31.3960i | −0.280262 | − | 1.04595i | ||||
\(902\) | 17.6885 | 0.588962 | ||||||||
\(903\) | −0.154697 | + | 0.0893146i | −0.00514801 | + | 0.00297220i | ||||
\(904\) | 7.62291 | − | 4.40109i | 0.253534 | − | 0.146378i | ||||
\(905\) | 14.8690 | − | 11.4623i | 0.494262 | − | 0.381018i | ||||
\(906\) | −1.80377 | + | 0.483318i | −0.0599262 | + | 0.0160572i | ||||
\(907\) | −26.4933 | − | 15.2959i | −0.879697 | − | 0.507893i | −0.00913830 | − | 0.999958i | \(-0.502909\pi\) |
−0.870558 | + | 0.492065i | \(0.836242\pi\) | |||||||
\(908\) | −18.0722 | + | 10.4340i | −0.599747 | + | 0.346264i | ||||
\(909\) | 6.00117 | + | 10.3943i | 0.199046 | + | 0.344758i | ||||
\(910\) | −1.58789 | + | 12.2730i | −0.0526379 | + | 0.406847i | ||||
\(911\) | −6.61286 | + | 6.61286i | −0.219094 | + | 0.219094i | −0.808117 | − | 0.589023i | \(-0.799513\pi\) |
0.589023 | + | 0.808117i | \(0.299513\pi\) | |||||||
\(912\) | 2.34345 | − | 4.05897i | 0.0775993 | − | 0.134406i | ||||
\(913\) | −37.0839 | − | 9.93659i | −1.22730 | − | 0.328853i | ||||
\(914\) | − | 5.42748i | − | 0.179525i | ||||||
\(915\) | −3.70031 | − | 27.6295i | −0.122328 | − | 0.913402i | ||||
\(916\) | 19.2477 | − | 11.1127i | 0.635962 | − | 0.367173i | ||||
\(917\) | −22.3385 | −0.737682 | ||||||||
\(918\) | −9.09332 | − | 33.9367i | −0.300124 | − | 1.12008i | ||||
\(919\) | −26.9864 | + | 26.9864i | −0.890201 | + | 0.890201i | −0.994542 | − | 0.104341i | \(-0.966727\pi\) |
0.104341 | + | 0.994542i | \(0.466727\pi\) | |||||||
\(920\) | 11.6380 | + | 4.79019i | 0.383694 | + | 0.157928i | ||||
\(921\) | 0.798692 | − | 1.38338i | 0.0263178 | − | 0.0455838i | ||||
\(922\) | −8.31225 | − | 31.0217i | −0.273749 | − | 1.02165i | ||||
\(923\) | −12.6826 | − | 21.9669i | −0.417452 | − | 0.723049i | ||||
\(924\) | −4.29582 | −0.141322 | ||||||||
\(925\) | 10.5425 | − | 28.5282i | 0.346635 | − | 0.938000i | ||||
\(926\) | 0.797513 | 0.0262079 | ||||||||
\(927\) | 9.71420 | + | 16.8255i | 0.319056 | + | 0.552621i | ||||
\(928\) | 1.64279 | + | 6.13098i | 0.0539273 | + | 0.201259i | ||||
\(929\) | −4.70225 | + | 8.14453i | −0.154276 | + | 0.267213i | −0.932795 | − | 0.360407i | \(-0.882638\pi\) |
0.778519 | + | 0.627621i | \(0.215971\pi\) | |||||||
\(930\) | 9.57195 | + | 3.93980i | 0.313877 | + | 0.129191i | ||||
\(931\) | −16.1094 | + | 16.1094i | −0.527963 | + | 0.527963i | ||||
\(932\) | 3.93118 | + | 14.6713i | 0.128770 | + | 0.480576i | ||||
\(933\) | 17.8147 | 0.583227 | ||||||||
\(934\) | 11.9329 | − | 6.88944i | 0.390455 | − | 0.225429i | ||||
\(935\) | −6.39622 | − | 47.7594i | −0.209179 | − | 1.56190i | ||||
\(936\) | 7.50584i | 0.245336i | ||||||||
\(937\) | −15.6466 | − | 4.19250i | −0.511153 | − | 0.136963i | −0.00598158 | − | 0.999982i | \(-0.501904\pi\) |
−0.505171 | + | 0.863019i | \(0.668571\pi\) | |||||||
\(938\) | −8.02024 | + | 13.8915i | −0.261870 | + | 0.453572i | ||||
\(939\) | 5.23178 | − | 5.23178i | 0.170733 | − | 0.170733i | ||||
\(940\) | 2.81172 | − | 21.7322i | 0.0917081 | − | 0.708826i | ||||
\(941\) | −23.0221 | − | 39.8755i | −0.750499 | − | 1.29990i | −0.947581 | − | 0.319516i | \(-0.896480\pi\) |
0.197082 | − | 0.980387i | \(-0.436854\pi\) | |||||||
\(942\) | −3.42729 | + | 1.97875i | −0.111667 | + | 0.0644711i | ||||
\(943\) | 29.3960 | + | 16.9718i | 0.957265 | + | 0.552677i | ||||
\(944\) | −13.8591 | + | 3.71354i | −0.451076 | + | 0.120865i | ||||
\(945\) | 13.3106 | − | 10.2609i | 0.432994 | − | 0.333787i | ||||
\(946\) | −0.309784 | + | 0.178854i | −0.0100720 | + | 0.00581505i | ||||
\(947\) | 35.3998 | − | 20.4381i | 1.15034 | − | 0.664148i | 0.201368 | − | 0.979516i | \(-0.435461\pi\) |
0.948970 | + | 0.315368i | \(0.102128\pi\) | |||||||
\(948\) | 2.12947 | 0.0691620 | ||||||||
\(949\) | −6.00592 | − | 22.4144i | −0.194960 | − | 0.727602i | ||||
\(950\) | 0.112372 | + | 25.1480i | 0.00364584 | + | 0.815910i | ||||
\(951\) | 5.17413 | 0.167783 | ||||||||
\(952\) | 8.16574 | + | 8.16574i | 0.264653 | + | 0.264653i | ||||
\(953\) | −39.5666 | − | 10.6018i | −1.28169 | − | 0.343427i | −0.447190 | − | 0.894439i | \(-0.647575\pi\) |
−0.834497 | + | 0.551012i | \(0.814242\pi\) | |||||||
\(954\) | 6.66822 | − | 6.66822i | 0.215892 | − | 0.215892i | ||||
\(955\) | −30.2098 | + | 12.5925i | −0.977566 | + | 0.407482i | ||||
\(956\) | −12.4979 | − | 12.4979i | −0.404212 | − | 0.404212i | ||||
\(957\) | −8.67390 | + | 15.0236i | −0.280387 | + | 0.485645i | ||||
\(958\) | 23.7667 | − | 6.36828i | 0.767868 | − | 0.205750i | ||||
\(959\) | 25.2334 | + | 14.5685i | 0.814829 | + | 0.470442i | ||||
\(960\) | −0.267359 | + | 2.06646i | −0.00862898 | + | 0.0666947i | ||||
\(961\) | − | 6.32226i | − | 0.203944i | ||||||
\(962\) | −8.86919 | − | 19.4956i | −0.285954 | − | 0.628564i | ||||
\(963\) | −23.7411 | − | 23.7411i | −0.765046 | − | 0.765046i | ||||
\(964\) | 11.7960 | + | 3.16072i | 0.379922 | + | 0.101800i | ||||
\(965\) | 15.1848 | + | 6.25003i | 0.488815 | + | 0.201196i | ||||
\(966\) | −7.13910 | − | 4.12176i | −0.229697 | − | 0.132615i | ||||
\(967\) | −21.5757 | − | 12.4568i | −0.693829 | − | 0.400582i | 0.111216 | − | 0.993796i | \(-0.464525\pi\) |
−0.805045 | + | 0.593214i | \(0.797859\pi\) | |||||||
\(968\) | 2.39754 | 0.0770599 | ||||||||
\(969\) | −29.8221 | − | 17.2178i | −0.958024 | − | 0.553115i | ||||
\(970\) | 23.3432 | − | 3.12626i | 0.749505 | − | 0.100378i | ||||
\(971\) | 20.3752 | + | 35.2909i | 0.653871 | + | 1.13254i | 0.982176 | + | 0.187966i | \(0.0601895\pi\) |
−0.328304 | + | 0.944572i | \(0.606477\pi\) | |||||||
\(972\) | 11.4216 | − | 11.4216i | 0.366348 | − | 0.366348i | ||||
\(973\) | 3.15046 | − | 3.15046i | 0.100999 | − | 0.100999i | ||||
\(974\) | −2.22207 | + | 1.28291i | −0.0711996 | + | 0.0411071i | ||||
\(975\) | 8.26635 | + | 14.1711i | 0.264735 | + | 0.453839i | ||||
\(976\) | 9.45989 | + | 9.45989i | 0.302804 | + | 0.302804i | ||||
\(977\) | −9.78786 | − | 16.9531i | −0.313141 | − | 0.542377i | 0.665899 | − | 0.746042i | \(-0.268048\pi\) |
−0.979041 | + | 0.203665i | \(0.934715\pi\) | |||||||
\(978\) | −3.94927 | + | 14.7389i | −0.126284 | + | 0.471297i | ||||
\(979\) | −1.24257 | + | 4.63734i | −0.0397128 | + | 0.148210i | ||||
\(980\) | 3.85505 | − | 9.36604i | 0.123145 | − | 0.299187i | ||||
\(981\) | 0.0500602 | + | 0.186827i | 0.00159830 | + | 0.00596493i | ||||
\(982\) | 6.58083 | + | 11.3983i | 0.210003 | + | 0.363735i | ||||
\(983\) | 17.4605 | + | 4.67853i | 0.556904 | + | 0.149222i | 0.526284 | − | 0.850309i | \(-0.323585\pi\) |
0.0306203 | + | 0.999531i | \(0.490252\pi\) | |||||||
\(984\) | −1.45453 | + | 5.42838i | −0.0463687 | + | 0.173050i | ||||
\(985\) | −0.398514 | − | 0.304378i | −0.0126977 | − | 0.00969829i | ||||
\(986\) | 45.0456 | − | 12.0699i | 1.43454 | − | 0.384385i | ||||
\(987\) | −3.71496 | + | 13.8644i | −0.118249 | + | 0.441310i | ||||
\(988\) | 12.5229 | + | 12.5229i | 0.398408 | + | 0.398408i | ||||
\(989\) | −0.686429 | −0.0218272 | ||||||||
\(990\) | 11.0722 | − | 8.53535i | 0.351897 | − | 0.271271i | ||||
\(991\) | 14.3225 | + | 14.3225i | 0.454969 | + | 0.454969i | 0.897000 | − | 0.442031i | \(-0.145742\pi\) |
−0.442031 | + | 0.897000i | \(0.645742\pi\) | |||||||
\(992\) | −4.79840 | + | 1.28573i | −0.152349 | + | 0.0408219i | ||||
\(993\) | 4.68318i | 0.148616i | ||||||||
\(994\) | −2.93048 | − | 10.9367i | −0.0929492 | − | 0.346891i | ||||
\(995\) | −31.5414 | + | 13.1475i | −0.999929 | + | 0.416804i | ||||
\(996\) | 6.09883 | − | 10.5635i | 0.193249 | − | 0.334717i | ||||
\(997\) | −38.5892 | + | 22.2795i | −1.22213 | + | 0.705599i | −0.965372 | − | 0.260877i | \(-0.915988\pi\) |
−0.256760 | + | 0.966475i | \(0.582655\pi\) | |||||||
\(998\) | −12.0376 | + | 12.0376i | −0.381044 | + | 0.381044i | ||||
\(999\) | −10.2045 | + | 27.2387i | −0.322857 | + | 0.861793i |
(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 | 370.2.q.e.103.3 | yes | 16 | |
5.2 | odd | 4 | 370.2.r.e.177.4 | yes | 16 | ||
37.23 | odd | 12 | 370.2.r.e.23.4 | yes | 16 | ||
185.97 | even | 12 | inner | 370.2.q.e.97.3 | ✓ | 16 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
370.2.q.e.97.3 | ✓ | 16 | 185.97 | even | 12 | inner | |
370.2.q.e.103.3 | yes | 16 | 1.1 | even | 1 | trivial | |
370.2.r.e.23.4 | yes | 16 | 37.23 | odd | 12 | ||
370.2.r.e.177.4 | yes | 16 | 5.2 | odd | 4 |