Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [336,2,Mod(37,336)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(336, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([0, 3, 0, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("336.37");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 336 = 2^{4} \cdot 3 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 336.bq (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: | \(2.68297350792\) |
Analytic rank: | \(0\) |
Dimension: | \(120\) |
Relative dimension: | \(30\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 37.12 | ||
Character | \(\chi\) | \(=\) | 336.37 |
Dual form | 336.2.bq.b.109.12 |
$q$-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 \(\left(\mathbb{Z}/336\mathbb{Z}\right)^\times\).
\(n\) | \(85\) | \(113\) | \(127\) | \(241\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(1\) | \(1\) | \(e\left(\frac{1}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.485523 | − | 1.32826i | −0.343317 | − | 0.939220i | ||||
\(3\) | −0.965926 | − | 0.258819i | −0.557678 | − | 0.149429i | ||||
\(4\) | −1.52854 | + | 1.28980i | −0.764268 | + | 0.644899i | ||||
\(5\) | −0.879995 | + | 0.235794i | −0.393546 | + | 0.105450i | −0.450165 | − | 0.892946i | \(-0.648635\pi\) |
0.0566187 | + | 0.998396i | \(0.481968\pi\) | |||||||
\(6\) | 0.125201 | + | 1.40866i | 0.0511130 | + | 0.575083i | ||||
\(7\) | −1.69105 | − | 2.03479i | −0.639156 | − | 0.769077i | ||||
\(8\) | 2.45532 | + | 1.40406i | 0.868088 | + | 0.496411i | ||||
\(9\) | 0.866025 | + | 0.500000i | 0.288675 | + | 0.166667i | ||||
\(10\) | 0.740453 | + | 1.05438i | 0.234152 | + | 0.333423i | ||||
\(11\) | 0.0635968 | − | 0.237347i | 0.0191752 | − | 0.0715627i | −0.955675 | − | 0.294423i | \(-0.904873\pi\) |
0.974850 | + | 0.222860i | \(0.0715393\pi\) | |||||||
\(12\) | 1.81028 | − | 0.850236i | 0.522582 | − | 0.245442i | ||||
\(13\) | −4.10057 | + | 4.10057i | −1.13729 | + | 1.13729i | −0.148360 | + | 0.988933i | \(0.547399\pi\) |
−0.988933 | + | 0.148360i | \(0.952601\pi\) | |||||||
\(14\) | −1.88168 | + | 3.23408i | −0.502899 | + | 0.864345i | ||||
\(15\) | 0.911038 | 0.235229 | ||||||||
\(16\) | 0.672839 | − | 3.94300i | 0.168210 | − | 0.985751i | ||||
\(17\) | 3.38683 | + | 5.86615i | 0.821426 | + | 1.42275i | 0.904621 | + | 0.426218i | \(0.140154\pi\) |
−0.0831948 | + | 0.996533i | \(0.526512\pi\) | |||||||
\(18\) | 0.243654 | − | 1.39307i | 0.0574297 | − | 0.328349i | ||||
\(19\) | 1.39522 | + | 5.20705i | 0.320087 | + | 1.19458i | 0.919160 | + | 0.393885i | \(0.128869\pi\) |
−0.599073 | + | 0.800694i | \(0.704464\pi\) | |||||||
\(20\) | 1.04098 | − | 1.49544i | 0.232770 | − | 0.334390i | ||||
\(21\) | 1.10679 | + | 2.40313i | 0.241520 | + | 0.524406i | ||||
\(22\) | −0.346135 | + | 0.0307643i | −0.0737963 | + | 0.00655896i | ||||
\(23\) | 4.95390 | + | 2.86014i | 1.03296 | + | 0.596380i | 0.917831 | − | 0.396971i | \(-0.129939\pi\) |
0.115129 | + | 0.993351i | \(0.463272\pi\) | |||||||
\(24\) | −2.00826 | − | 1.99170i | −0.409935 | − | 0.406555i | ||||
\(25\) | −3.61133 | + | 2.08500i | −0.722267 | + | 0.417001i | ||||
\(26\) | 7.43753 | + | 3.45569i | 1.45862 | + | 0.677717i | ||||
\(27\) | −0.707107 | − | 0.707107i | −0.136083 | − | 0.136083i | ||||
\(28\) | 5.20929 | + | 0.929130i | 0.984464 | + | 0.175589i | ||||
\(29\) | 0.0308357 | − | 0.0308357i | 0.00572605 | − | 0.00572605i | −0.704238 | − | 0.709964i | \(-0.748711\pi\) |
0.709964 | + | 0.704238i | \(0.248711\pi\) | |||||||
\(30\) | −0.442330 | − | 1.21009i | −0.0807580 | − | 0.220932i | ||||
\(31\) | −4.53789 | − | 7.85985i | −0.815028 | − | 1.41167i | −0.909308 | − | 0.416124i | \(-0.863388\pi\) |
0.0942794 | − | 0.995546i | \(-0.469945\pi\) | |||||||
\(32\) | −5.56400 | + | 1.02072i | −0.983586 | + | 0.180439i | ||||
\(33\) | −0.122860 | + | 0.212799i | −0.0213871 | + | 0.0370436i | ||||
\(34\) | 6.14738 | − | 7.34673i | 1.05427 | − | 1.25995i | ||||
\(35\) | 1.96791 | + | 1.39186i | 0.332637 | + | 0.235268i | ||||
\(36\) | −1.96865 | + | 0.352731i | −0.328108 | + | 0.0587885i | ||||
\(37\) | −4.30646 | + | 1.15391i | −0.707977 | + | 0.189702i | −0.594801 | − | 0.803873i | \(-0.702769\pi\) |
−0.113176 | + | 0.993575i | \(0.536102\pi\) | |||||||
\(38\) | 6.23889 | − | 4.38136i | 1.01208 | − | 0.710750i | ||||
\(39\) | 5.02215 | − | 2.89954i | 0.804188 | − | 0.464298i | ||||
\(40\) | −2.49174 | − | 0.656617i | −0.393979 | − | 0.103820i | ||||
\(41\) | − | 4.70384i | − | 0.734616i | −0.930099 | − | 0.367308i | \(-0.880280\pi\) | ||
0.930099 | − | 0.367308i | \(-0.119720\pi\) | |||||||
\(42\) | 2.65460 | − | 2.63687i | 0.409614 | − | 0.406878i | ||||
\(43\) | −1.74674 | − | 1.74674i | −0.266376 | − | 0.266376i | 0.561262 | − | 0.827638i | \(-0.310316\pi\) |
−0.827638 | + | 0.561262i | \(0.810316\pi\) | |||||||
\(44\) | 0.208919 | + | 0.444820i | 0.0314958 | + | 0.0670591i | ||||
\(45\) | −0.879995 | − | 0.235794i | −0.131182 | − | 0.0351501i | ||||
\(46\) | 1.39376 | − | 7.96872i | 0.205499 | − | 1.17492i | ||||
\(47\) | −3.98947 | + | 6.90997i | −0.581924 | + | 1.00792i | 0.413327 | + | 0.910583i | \(0.364367\pi\) |
−0.995251 | + | 0.0973395i | \(0.968967\pi\) | |||||||
\(48\) | −1.67044 | + | 3.63451i | −0.241107 | + | 0.524596i | ||||
\(49\) | −1.28071 | + | 6.88184i | −0.182959 | + | 0.983121i | ||||
\(50\) | 4.52281 | + | 3.78446i | 0.639622 | + | 0.535204i | ||||
\(51\) | −1.75315 | − | 6.54284i | −0.245490 | − | 0.916181i | ||||
\(52\) | 0.978955 | − | 11.5568i | 0.135757 | − | 1.60264i | ||||
\(53\) | −1.03734 | + | 3.87140i | −0.142489 | + | 0.531778i | 0.857365 | + | 0.514709i | \(0.172100\pi\) |
−0.999854 | + | 0.0170687i | \(0.994567\pi\) | |||||||
\(54\) | −0.595903 | + | 1.28254i | −0.0810922 | + | 0.174531i | ||||
\(55\) | 0.223860i | 0.0301852i | ||||||||
\(56\) | −1.29511 | − | 7.37039i | −0.173066 | − | 0.984910i | ||||
\(57\) | − | 5.39073i | − | 0.714020i | ||||||
\(58\) | −0.0559292 | − | 0.0259863i | −0.00734387 | − | 0.00341217i | ||||
\(59\) | −1.17710 | + | 4.39298i | −0.153245 | + | 0.571917i | 0.846005 | + | 0.533176i | \(0.179002\pi\) |
−0.999249 | + | 0.0387414i | \(0.987665\pi\) | |||||||
\(60\) | −1.39255 | + | 1.17506i | −0.179778 | + | 0.151699i | ||||
\(61\) | 2.52924 | + | 9.43924i | 0.323836 | + | 1.20857i | 0.915477 | + | 0.402370i | \(0.131813\pi\) |
−0.591642 | + | 0.806201i | \(0.701520\pi\) | |||||||
\(62\) | −8.23665 | + | 9.84361i | −1.04606 | + | 1.25014i | ||||
\(63\) | −0.447098 | − | 2.60770i | −0.0563290 | − | 0.328539i | ||||
\(64\) | 4.05722 | + | 6.89485i | 0.507153 | + | 0.861856i | ||||
\(65\) | 2.64159 | − | 4.57537i | 0.327649 | − | 0.567505i | ||||
\(66\) | 0.342303 | + | 0.0598704i | 0.0421346 | + | 0.00736953i | ||||
\(67\) | −4.40639 | − | 1.18069i | −0.538326 | − | 0.144244i | −0.0205957 | − | 0.999788i | \(-0.506556\pi\) |
−0.517730 | + | 0.855544i | \(0.673223\pi\) | |||||||
\(68\) | −12.7430 | − | 4.59830i | −1.54532 | − | 0.557626i | ||||
\(69\) | −4.04484 | − | 4.04484i | −0.486942 | − | 0.486942i | ||||
\(70\) | 0.893290 | − | 3.28967i | 0.106769 | − | 0.393190i | ||||
\(71\) | − | 15.2208i | − | 1.80638i | −0.429240 | − | 0.903190i | \(-0.641219\pi\) | ||
0.429240 | − | 0.903190i | \(-0.358781\pi\) | |||||||
\(72\) | 1.42434 | + | 2.44361i | 0.167860 | + | 0.287983i | ||||
\(73\) | −4.56397 | + | 2.63501i | −0.534172 | + | 0.308405i | −0.742714 | − | 0.669609i | \(-0.766462\pi\) |
0.208541 | + | 0.978014i | \(0.433128\pi\) | |||||||
\(74\) | 3.62357 | + | 5.15983i | 0.421232 | + | 0.599818i | ||||
\(75\) | 4.02792 | − | 1.07928i | 0.465104 | − | 0.124624i | ||||
\(76\) | −8.84870 | − | 6.15960i | −1.01501 | − | 0.706554i | ||||
\(77\) | −0.590495 | + | 0.271959i | −0.0672932 | + | 0.0309926i | ||||
\(78\) | −6.28970 | − | 5.26292i | −0.712169 | − | 0.595908i | ||||
\(79\) | 4.25415 | − | 7.36841i | 0.478629 | − | 0.829010i | −0.521070 | − | 0.853514i | \(-0.674467\pi\) |
0.999700 | + | 0.0245033i | \(0.00780043\pi\) | |||||||
\(80\) | 0.337642 | + | 3.62848i | 0.0377495 | + | 0.405676i | ||||
\(81\) | 0.500000 | + | 0.866025i | 0.0555556 | + | 0.0962250i | ||||
\(82\) | −6.24790 | + | 2.28382i | −0.689966 | + | 0.252206i | ||||
\(83\) | −11.0999 | + | 11.0999i | −1.21837 | + | 1.21837i | −0.250168 | + | 0.968202i | \(0.580486\pi\) |
−0.968202 | + | 0.250168i | \(0.919514\pi\) | |||||||
\(84\) | −4.79131 | − | 2.24573i | −0.522775 | − | 0.245030i | ||||
\(85\) | −4.36359 | − | 4.36359i | −0.473298 | − | 0.473298i | ||||
\(86\) | −1.47204 | + | 3.16821i | −0.158734 | + | 0.341637i | ||||
\(87\) | −0.0377659 | + | 0.0218041i | −0.00404893 | + | 0.00233765i | ||||
\(88\) | 0.489400 | − | 0.493469i | 0.0521702 | − | 0.0526040i | ||||
\(89\) | −3.86247 | − | 2.23000i | −0.409421 | − | 0.236379i | 0.281120 | − | 0.959673i | \(-0.409294\pi\) |
−0.690541 | + | 0.723293i | \(0.742627\pi\) | |||||||
\(90\) | 0.114063 | + | 1.28334i | 0.0120233 | + | 0.135276i | ||||
\(91\) | 15.2780 | + | 1.40952i | 1.60157 | + | 0.147758i | ||||
\(92\) | −11.2612 | + | 2.01772i | −1.17406 | + | 0.210362i | ||||
\(93\) | 2.34898 | + | 8.76652i | 0.243578 | + | 0.909046i | ||||
\(94\) | 11.1152 | + | 1.94410i | 1.14644 | + | 0.200518i | ||||
\(95\) | −2.45558 | − | 4.25319i | −0.251937 | − | 0.436369i | ||||
\(96\) | 5.63860 | + | 0.454134i | 0.575487 | + | 0.0463499i | ||||
\(97\) | 7.40529 | 0.751893 | 0.375947 | − | 0.926641i | \(-0.377318\pi\) | ||||
0.375947 | + | 0.926641i | \(0.377318\pi\) | |||||||
\(98\) | 9.76267 | − | 1.64018i | 0.986179 | − | 0.165683i | ||||
\(99\) | 0.173750 | − | 0.173750i | 0.0174625 | − | 0.0174625i | ||||
\(100\) | 2.83081 | − | 7.84490i | 0.283081 | − | 0.784490i | ||||
\(101\) | −0.540960 | + | 2.01889i | −0.0538276 | + | 0.200887i | −0.987603 | − | 0.156972i | \(-0.949827\pi\) |
0.933775 | + | 0.357859i | \(0.116493\pi\) | |||||||
\(102\) | −7.83939 | + | 5.50533i | −0.776215 | + | 0.545109i | ||||
\(103\) | 0.873143 | + | 0.504109i | 0.0860333 | + | 0.0496714i | 0.542399 | − | 0.840121i | \(-0.317516\pi\) |
−0.456366 | + | 0.889792i | \(0.650849\pi\) | |||||||
\(104\) | −15.8257 | + | 4.31077i | −1.55183 | + | 0.422706i | ||||
\(105\) | −1.54061 | − | 1.85377i | −0.150348 | − | 0.180909i | ||||
\(106\) | 5.64587 | − | 0.501801i | 0.548375 | − | 0.0487392i | ||||
\(107\) | 0.959271 | − | 0.257036i | 0.0927362 | − | 0.0248486i | −0.212153 | − | 0.977237i | \(-0.568047\pi\) |
0.304889 | + | 0.952388i | \(0.401381\pi\) | |||||||
\(108\) | 1.99286 | + | 0.168812i | 0.191763 | + | 0.0162440i | ||||
\(109\) | −18.5384 | − | 4.96734i | −1.77565 | − | 0.475785i | −0.785874 | − | 0.618387i | \(-0.787786\pi\) |
−0.989780 | + | 0.142602i | \(0.954453\pi\) | |||||||
\(110\) | 0.297343 | − | 0.108689i | 0.0283506 | − | 0.0103631i | ||||
\(111\) | 4.45837 | 0.423170 | ||||||||
\(112\) | −9.16098 | + | 5.29873i | −0.865631 | + | 0.500683i | ||||
\(113\) | 15.8290 | 1.48907 | 0.744536 | − | 0.667583i | \(-0.232671\pi\) | ||||
0.744536 | + | 0.667583i | \(0.232671\pi\) | |||||||
\(114\) | −7.16028 | + | 2.61732i | −0.670622 | + | 0.245135i | ||||
\(115\) | −5.03381 | − | 1.34881i | −0.469406 | − | 0.125777i | ||||
\(116\) | −0.00736161 | + | 0.0869053i | −0.000683508 | + | 0.00806896i | ||||
\(117\) | −5.60148 | + | 1.50091i | −0.517857 | + | 0.138759i | ||||
\(118\) | 6.40651 | − | 0.569406i | 0.589767 | − | 0.0524181i | ||||
\(119\) | 6.20908 | − | 16.8114i | 0.569186 | − | 1.54110i | ||||
\(120\) | 2.23689 | + | 1.27915i | 0.204200 | + | 0.116770i | ||||
\(121\) | 9.47399 | + | 5.46981i | 0.861272 | + | 0.497256i | ||||
\(122\) | 11.3097 | − | 7.94244i | 1.02394 | − | 0.719075i | ||||
\(123\) | −1.21744 | + | 4.54356i | −0.109773 | + | 0.409679i | ||||
\(124\) | 17.0739 | + | 6.16109i | 1.53328 | + | 0.553283i | ||||
\(125\) | 5.90733 | − | 5.90733i | 0.528368 | − | 0.528368i | ||||
\(126\) | −3.24662 | + | 1.85996i | −0.289232 | + | 0.165698i | ||||
\(127\) | −9.29912 | −0.825163 | −0.412582 | − | 0.910921i | \(-0.635373\pi\) | ||||
−0.412582 | + | 0.910921i | \(0.635373\pi\) | |||||||
\(128\) | 7.18826 | − | 8.73664i | 0.635358 | − | 0.772218i | ||||
\(129\) | 1.23513 | + | 2.13931i | 0.108747 | + | 0.188356i | ||||
\(130\) | −7.35982 | − | 1.28727i | −0.645499 | − | 0.112901i | ||||
\(131\) | −2.64808 | − | 9.88277i | −0.231364 | − | 0.863462i | −0.979754 | − | 0.200203i | \(-0.935840\pi\) |
0.748390 | − | 0.663258i | \(-0.230827\pi\) | |||||||
\(132\) | −0.0866728 | − | 0.483735i | −0.00754390 | − | 0.0421038i | ||||
\(133\) | 8.23584 | − | 11.6444i | 0.714138 | − | 1.00969i | ||||
\(134\) | 0.571145 | + | 6.42607i | 0.0493394 | + | 0.555128i | ||||
\(135\) | 0.788982 | + | 0.455519i | 0.0679048 | + | 0.0392048i | ||||
\(136\) | 0.0793128 | + | 19.1586i | 0.00680102 | + | 1.64284i | ||||
\(137\) | −0.203435 | + | 0.117453i | −0.0173806 | + | 0.0100347i | −0.508665 | − | 0.860964i | \(-0.669861\pi\) |
0.491285 | + | 0.870999i | \(0.336528\pi\) | |||||||
\(138\) | −3.40873 | + | 7.33646i | −0.290170 | + | 0.624521i | ||||
\(139\) | 5.35760 | + | 5.35760i | 0.454426 | + | 0.454426i | 0.896821 | − | 0.442395i | \(-0.145871\pi\) |
−0.442395 | + | 0.896821i | \(0.645871\pi\) | |||||||
\(140\) | −4.80324 | + | 0.410690i | −0.405948 | + | 0.0347096i | ||||
\(141\) | 5.64196 | − | 5.64196i | 0.475139 | − | 0.475139i | ||||
\(142\) | −20.2172 | + | 7.39006i | −1.69659 | + | 0.620160i | ||||
\(143\) | 0.712473 | + | 1.23404i | 0.0595800 | + | 0.103196i | ||||
\(144\) | 2.55420 | − | 3.07832i | 0.212850 | − | 0.256527i | ||||
\(145\) | −0.0198644 | + | 0.0344062i | −0.00164965 | + | 0.00285728i | ||||
\(146\) | 5.71588 | + | 4.78277i | 0.473050 | + | 0.395825i | ||||
\(147\) | 3.01822 | − | 6.31588i | 0.248939 | − | 0.520925i | ||||
\(148\) | 5.09426 | − | 7.31825i | 0.418745 | − | 0.601557i | ||||
\(149\) | 10.9324 | − | 2.92933i | 0.895616 | − | 0.239980i | 0.218484 | − | 0.975841i | \(-0.429889\pi\) |
0.677133 | + | 0.735861i | \(0.263222\pi\) | |||||||
\(150\) | −3.38921 | − | 4.82610i | −0.276727 | − | 0.394049i | ||||
\(151\) | −5.48259 | + | 3.16538i | −0.446167 | + | 0.257595i | −0.706210 | − | 0.708002i | \(-0.749597\pi\) |
0.260043 | + | 0.965597i | \(0.416263\pi\) | |||||||
\(152\) | −3.88529 | + | 14.7440i | −0.315138 | + | 1.19589i | ||||
\(153\) | 6.77365i | 0.547617i | ||||||||
\(154\) | 0.647930 | + | 0.652287i | 0.0522117 | + | 0.0525628i | ||||
\(155\) | 5.84662 | + | 5.84662i | 0.469612 | + | 0.469612i | ||||
\(156\) | −3.93671 | + | 10.9096i | −0.315189 | + | 0.873468i | ||||
\(157\) | −3.23789 | − | 0.867590i | −0.258412 | − | 0.0692412i | 0.127287 | − | 0.991866i | \(-0.459373\pi\) |
−0.385699 | + | 0.922625i | \(0.626040\pi\) | |||||||
\(158\) | −11.8526 | − | 2.07308i | −0.942944 | − | 0.164925i | ||||
\(159\) | 2.00398 | − | 3.47100i | 0.158926 | − | 0.275268i | ||||
\(160\) | 4.65562 | − | 2.21018i | 0.368059 | − | 0.174730i | ||||
\(161\) | −2.55752 | − | 14.9168i | −0.201561 | − | 1.17561i | ||||
\(162\) | 0.907543 | − | 1.08460i | 0.0713033 | − | 0.0852145i | ||||
\(163\) | 2.06655 | + | 7.71248i | 0.161865 | + | 0.604088i | 0.998419 | + | 0.0562044i | \(0.0178998\pi\) |
−0.836554 | + | 0.547884i | \(0.815433\pi\) | |||||||
\(164\) | 6.06700 | + | 7.18998i | 0.473753 | + | 0.561443i | ||||
\(165\) | 0.0579392 | − | 0.216232i | 0.00451056 | − | 0.0168336i | ||||
\(166\) | 20.1328 | + | 9.35426i | 1.56260 | + | 0.726031i | ||||
\(167\) | 15.7174i | 1.21625i | 0.793842 | + | 0.608124i | \(0.208078\pi\) | ||||
−0.793842 | + | 0.608124i | \(0.791922\pi\) | |||||||
\(168\) | −0.656622 | + | 7.45445i | −0.0506595 | + | 0.575123i | ||||
\(169\) | − | 20.6293i | − | 1.58687i | ||||||
\(170\) | −3.67735 | + | 7.91460i | −0.282040 | + | 0.607022i | ||||
\(171\) | −1.39522 | + | 5.20705i | −0.106696 | + | 0.398193i | ||||
\(172\) | 4.92291 | + | 0.417011i | 0.375368 | + | 0.0317968i | ||||
\(173\) | −2.45178 | − | 9.15015i | −0.186405 | − | 0.695673i | −0.994325 | − | 0.106381i | \(-0.966074\pi\) |
0.807920 | − | 0.589292i | \(-0.200593\pi\) | |||||||
\(174\) | 0.0472977 | + | 0.0395764i | 0.00358563 | + | 0.00300028i | ||||
\(175\) | 10.3495 | + | 3.82245i | 0.782347 | + | 0.288950i | ||||
\(176\) | −0.893069 | − | 0.410459i | −0.0673176 | − | 0.0309395i | ||||
\(177\) | 2.27397 | − | 3.93864i | 0.170922 | − | 0.296046i | ||||
\(178\) | −1.08669 | + | 6.21306i | −0.0814511 | + | 0.465689i | ||||
\(179\) | 16.6018 | + | 4.44844i | 1.24088 | + | 0.332492i | 0.818805 | − | 0.574071i | \(-0.194637\pi\) |
0.422071 | + | 0.906563i | \(0.361303\pi\) | |||||||
\(180\) | 1.64923 | − | 0.774597i | 0.122926 | − | 0.0577351i | ||||
\(181\) | 3.95699 | + | 3.95699i | 0.294121 | + | 0.294121i | 0.838706 | − | 0.544585i | \(-0.183313\pi\) |
−0.544585 | + | 0.838706i | \(0.683313\pi\) | |||||||
\(182\) | −5.54563 | − | 20.9775i | −0.411070 | − | 1.55496i | ||||
\(183\) | − | 9.77222i | − | 0.722383i | ||||||
\(184\) | 8.14762 | + | 13.9781i | 0.600651 | + | 1.03048i | ||||
\(185\) | 3.51758 | − | 2.03087i | 0.258617 | − | 0.149313i | ||||
\(186\) | 10.5037 | − | 7.37640i | 0.770169 | − | 0.540864i | ||||
\(187\) | 1.60770 | − | 0.430783i | 0.117567 | − | 0.0315020i | ||||
\(188\) | −2.81442 | − | 15.7077i | −0.205263 | − | 1.14560i | ||||
\(189\) | −0.243059 | + | 2.63456i | −0.0176800 | + | 0.191636i | ||||
\(190\) | −4.45709 | + | 5.32667i | −0.323352 | + | 0.386437i | ||||
\(191\) | −6.27087 | + | 10.8615i | −0.453744 | + | 0.785907i | −0.998615 | − | 0.0526123i | \(-0.983245\pi\) |
0.544871 | + | 0.838520i | \(0.316579\pi\) | |||||||
\(192\) | −2.13446 | − | 7.71000i | −0.154041 | − | 0.556421i | ||||
\(193\) | 11.8642 | + | 20.5495i | 0.854006 | + | 1.47918i | 0.877564 | + | 0.479460i | \(0.159167\pi\) |
−0.0235575 | + | 0.999722i | \(0.507499\pi\) | |||||||
\(194\) | −3.59544 | − | 9.83613i | −0.258137 | − | 0.706193i | ||||
\(195\) | −3.73578 | + | 3.73578i | −0.267524 | + | 0.267524i | ||||
\(196\) | −6.91858 | − | 12.1710i | −0.494184 | − | 0.869357i | ||||
\(197\) | −0.164168 | − | 0.164168i | −0.0116965 | − | 0.0116965i | 0.701234 | − | 0.712931i | \(-0.252633\pi\) |
−0.712931 | + | 0.701234i | \(0.752633\pi\) | |||||||
\(198\) | −0.315144 | − | 0.146425i | −0.0223963 | − | 0.0104060i | ||||
\(199\) | −5.86216 | + | 3.38452i | −0.415557 | + | 0.239922i | −0.693175 | − | 0.720770i | \(-0.743789\pi\) |
0.277617 | + | 0.960692i | \(0.410455\pi\) | |||||||
\(200\) | −11.7945 | + | 0.0488267i | −0.833995 | + | 0.00345257i | ||||
\(201\) | 3.95066 | + | 2.28091i | 0.278658 | + | 0.160883i | ||||
\(202\) | 2.94426 | − | 0.261683i | 0.207157 | − | 0.0184120i | ||||
\(203\) | −0.114889 | − | 0.0105994i | −0.00806361 | − | 0.000743932i | ||||
\(204\) | 11.1187 | + | 7.73976i | 0.778465 | + | 0.541891i | ||||
\(205\) | 1.10914 | + | 4.13935i | 0.0774655 | + | 0.289105i | ||||
\(206\) | 0.245656 | − | 1.40452i | 0.0171157 | − | 0.0978572i | ||||
\(207\) | 2.86014 | + | 4.95390i | 0.198793 | + | 0.344320i | ||||
\(208\) | 13.4095 | + | 18.9276i | 0.929784 | + | 1.31239i | ||||
\(209\) | 1.32461 | 0.0916250 | ||||||||
\(210\) | −1.71428 | + | 2.94637i | −0.118297 | + | 0.203319i | ||||
\(211\) | 9.02662 | − | 9.02662i | 0.621418 | − | 0.621418i | −0.324476 | − | 0.945894i | \(-0.605188\pi\) |
0.945894 | + | 0.324476i | \(0.105188\pi\) | |||||||
\(212\) | −3.40772 | − | 7.25553i | −0.234043 | − | 0.498312i | ||||
\(213\) | −3.93944 | + | 14.7022i | −0.269926 | + | 1.00738i | ||||
\(214\) | −0.807158 | − | 1.14936i | −0.0551762 | − | 0.0785688i | ||||
\(215\) | 1.94900 | + | 1.12525i | 0.132921 | + | 0.0767417i | ||||
\(216\) | −0.743355 | − | 2.72900i | −0.0505789 | − | 0.185685i | ||||
\(217\) | −8.31933 | + | 22.5250i | −0.564753 | + | 1.52910i | ||||
\(218\) | 2.40290 | + | 27.0355i | 0.162745 | + | 1.83107i | ||||
\(219\) | 5.09045 | − | 1.36398i | 0.343981 | − | 0.0921693i | ||||
\(220\) | −0.288734 | − | 0.342177i | −0.0194664 | − | 0.0230696i | ||||
\(221\) | −37.9425 | − | 10.1667i | −2.55229 | − | 0.683883i | ||||
\(222\) | −2.16464 | − | 5.92186i | −0.145281 | − | 0.397449i | ||||
\(223\) | −2.43216 | −0.162869 | −0.0814347 | − | 0.996679i | \(-0.525950\pi\) | ||||
−0.0814347 | + | 0.996679i | \(0.525950\pi\) | |||||||
\(224\) | 11.4859 | + | 9.59548i | 0.767437 | + | 0.641125i | ||||
\(225\) | −4.17001 | −0.278001 | ||||||||
\(226\) | −7.68536 | − | 21.0250i | −0.511223 | − | 1.39857i | ||||
\(227\) | −14.4014 | − | 3.85884i | −0.955854 | − | 0.256120i | −0.253009 | − | 0.967464i | \(-0.581420\pi\) |
−0.702844 | + | 0.711344i | \(0.748087\pi\) | |||||||
\(228\) | 6.95296 | + | 8.23993i | 0.460471 | + | 0.545702i | ||||
\(229\) | −4.20550 | + | 1.12686i | −0.277908 | + | 0.0744651i | −0.395081 | − | 0.918646i | \(-0.629283\pi\) |
0.117173 | + | 0.993111i | \(0.462617\pi\) | |||||||
\(230\) | 0.652470 | + | 7.34108i | 0.0430226 | + | 0.484056i | ||||
\(231\) | 0.640763 | − | 0.109861i | 0.0421591 | − | 0.00722829i | ||||
\(232\) | 0.119007 | − | 0.0324164i | 0.00781318 | − | 0.00212824i | ||||
\(233\) | 10.4959 | + | 6.05983i | 0.687611 | + | 0.396992i | 0.802716 | − | 0.596361i | \(-0.203387\pi\) |
−0.115105 | + | 0.993353i | \(0.536721\pi\) | |||||||
\(234\) | 4.71325 | + | 6.71148i | 0.308114 | + | 0.438743i | ||||
\(235\) | 1.88139 | − | 7.02143i | 0.122728 | − | 0.458028i | ||||
\(236\) | −3.86683 | − | 8.23304i | −0.251709 | − | 0.535925i | ||||
\(237\) | −6.01628 | + | 6.01628i | −0.390799 | + | 0.390799i | ||||
\(238\) | −25.3445 | − | 0.0849337i | −1.64284 | − | 0.00550544i | ||||
\(239\) | −3.46391 | −0.224062 | −0.112031 | − | 0.993705i | \(-0.535736\pi\) | ||||
−0.112031 | + | 0.993705i | \(0.535736\pi\) | |||||||
\(240\) | 0.612982 | − | 3.59223i | 0.0395678 | − | 0.231877i | ||||
\(241\) | 2.80174 | + | 4.85276i | 0.180476 | + | 0.312594i | 0.942043 | − | 0.335493i | \(-0.108903\pi\) |
−0.761567 | + | 0.648086i | \(0.775570\pi\) | |||||||
\(242\) | 2.66548 | − | 15.2396i | 0.171343 | − | 0.979640i | ||||
\(243\) | −0.258819 | − | 0.965926i | −0.0166032 | − | 0.0619642i | ||||
\(244\) | −16.0407 | − | 11.1660i | −1.02690 | − | 0.714830i | ||||
\(245\) | −0.495678 | − | 6.35798i | −0.0316677 | − | 0.406196i | ||||
\(246\) | 6.62611 | − | 0.588924i | 0.422465 | − | 0.0375484i | ||||
\(247\) | −27.0731 | − | 15.6307i | −1.72262 | − | 0.994555i | ||||
\(248\) | −0.106268 | − | 25.6699i | −0.00674805 | − | 1.63004i | ||||
\(249\) | 13.5945 | − | 7.84880i | 0.861518 | − | 0.497398i | ||||
\(250\) | −10.7146 | − | 4.97831i | −0.677651 | − | 0.314856i | ||||
\(251\) | 2.18974 | + | 2.18974i | 0.138215 | + | 0.138215i | 0.772829 | − | 0.634614i | \(-0.218841\pi\) |
−0.634614 | + | 0.772829i | \(0.718841\pi\) | |||||||
\(252\) | 4.04681 | + | 3.40930i | 0.254925 | + | 0.214765i | ||||
\(253\) | 0.993896 | − | 0.993896i | 0.0624857 | − | 0.0624857i | ||||
\(254\) | 4.51493 | + | 12.3516i | 0.283292 | + | 0.775010i | ||||
\(255\) | 3.08553 | + | 5.34429i | 0.193223 | + | 0.334672i | ||||
\(256\) | −15.0946 | − | 5.30601i | −0.943411 | − | 0.331626i | ||||
\(257\) | 13.7503 | − | 23.8163i | 0.857723 | − | 1.48562i | −0.0163724 | − | 0.999866i | \(-0.505212\pi\) |
0.874096 | − | 0.485754i | \(-0.161455\pi\) | |||||||
\(258\) | 2.24187 | − | 2.67926i | 0.139573 | − | 0.166804i | ||||
\(259\) | 9.63039 | + | 6.81140i | 0.598403 | + | 0.423240i | ||||
\(260\) | 1.86354 | + | 10.4007i | 0.115572 | + | 0.645026i | ||||
\(261\) | 0.0421224 | − | 0.0112867i | 0.00260731 | − | 0.000698626i | ||||
\(262\) | −11.8412 | + | 8.31565i | −0.731549 | + | 0.513742i | ||||
\(263\) | −5.30472 | + | 3.06268i | −0.327103 | + | 0.188853i | −0.654554 | − | 0.756015i | \(-0.727144\pi\) |
0.327451 | + | 0.944868i | \(0.393810\pi\) | |||||||
\(264\) | −0.600443 | + | 0.349988i | −0.0369547 | + | 0.0215403i | ||||
\(265\) | − | 3.65141i | − | 0.224305i | ||||||
\(266\) | −19.4654 | − | 5.28571i | −1.19350 | − | 0.324088i | ||||
\(267\) | 3.15369 | + | 3.15369i | 0.193003 | + | 0.193003i | ||||
\(268\) | 8.25817 | − | 3.87863i | 0.504448 | − | 0.236925i | ||||
\(269\) | 20.5707 | + | 5.51190i | 1.25422 | + | 0.336066i | 0.823964 | − | 0.566642i | \(-0.191758\pi\) |
0.430253 | + | 0.902708i | \(0.358424\pi\) | |||||||
\(270\) | 0.221978 | − | 1.26914i | 0.0135091 | − | 0.0772372i | ||||
\(271\) | −3.06988 | + | 5.31719i | −0.186482 | + | 0.322996i | −0.944075 | − | 0.329731i | \(-0.893042\pi\) |
0.757593 | + | 0.652727i | \(0.226375\pi\) | |||||||
\(272\) | 25.4091 | − | 9.40729i | 1.54065 | − | 0.570401i | ||||
\(273\) | −14.3926 | − | 5.31574i | −0.871082 | − | 0.321723i | ||||
\(274\) | 0.254781 | + | 0.213188i | 0.0153919 | + | 0.0128792i | ||||
\(275\) | 0.265199 | + | 0.989738i | 0.0159921 | + | 0.0596834i | ||||
\(276\) | 11.3997 | + | 0.965651i | 0.686182 | + | 0.0581254i | ||||
\(277\) | 7.53920 | − | 28.1367i | 0.452986 | − | 1.69057i | −0.240955 | − | 0.970536i | \(-0.577460\pi\) |
0.693941 | − | 0.720032i | \(-0.255873\pi\) | |||||||
\(278\) | 4.51504 | − | 9.71752i | 0.270794 | − | 0.582818i | ||||
\(279\) | − | 9.07577i | − | 0.543352i | ||||||
\(280\) | 2.87758 | + | 6.18053i | 0.171968 | + | 0.369358i | ||||
\(281\) | − | 2.53476i | − | 0.151211i | −0.997138 | − | 0.0756055i | \(-0.975911\pi\) | ||
0.997138 | − | 0.0756055i | \(-0.0240890\pi\) | |||||||
\(282\) | −10.2333 | − | 4.75468i | −0.609383 | − | 0.283137i | ||||
\(283\) | −4.87418 | + | 18.1907i | −0.289740 | + | 1.08132i | 0.655566 | + | 0.755138i | \(0.272430\pi\) |
−0.945306 | + | 0.326186i | \(0.894236\pi\) | |||||||
\(284\) | 19.6318 | + | 23.2656i | 1.16493 | + | 1.38056i | ||||
\(285\) | 1.27110 | + | 4.74382i | 0.0752937 | + | 0.281000i | ||||
\(286\) | 1.29320 | − | 1.54550i | 0.0764685 | − | 0.0913875i | ||||
\(287\) | −9.57130 | + | 7.95441i | −0.564976 | + | 0.469534i | ||||
\(288\) | −5.32893 | − | 1.89804i | −0.314010 | − | 0.111843i | ||||
\(289\) | −14.4412 | + | 25.0128i | −0.849480 | + | 1.47134i | ||||
\(290\) | 0.0553449 | + | 0.00968007i | 0.00324996 | + | 0.000568433i | ||||
\(291\) | −7.15296 | − | 1.91663i | −0.419314 | − | 0.112355i | ||||
\(292\) | 3.57756 | − | 9.91431i | 0.209361 | − | 0.580191i | ||||
\(293\) | −9.46667 | − | 9.46667i | −0.553049 | − | 0.553049i | 0.374271 | − | 0.927319i | \(-0.377893\pi\) |
−0.927319 | + | 0.374271i | \(0.877893\pi\) | |||||||
\(294\) | −9.85453 | − | 0.942474i | −0.574728 | − | 0.0549662i | ||||
\(295\) | − | 4.14335i | − | 0.241235i | ||||||
\(296\) | −12.1939 | − | 3.21330i | −0.708756 | − | 0.186769i | ||||
\(297\) | −0.212799 | + | 0.122860i | −0.0123479 | + | 0.00712904i | ||||
\(298\) | −9.19882 | − | 13.0988i | −0.532874 | − | 0.758792i | ||||
\(299\) | −32.0420 | + | 8.58563i | −1.85304 | + | 0.496520i | ||||
\(300\) | −4.76477 | + | 6.84492i | −0.275094 | + | 0.395192i | ||||
\(301\) | −0.600422 | + | 6.50808i | −0.0346077 | + | 0.375119i | ||||
\(302\) | 6.86636 | + | 5.74543i | 0.395115 | + | 0.330612i | ||||
\(303\) | 1.04506 | − | 1.81009i | 0.0600368 | − | 0.103987i | ||||
\(304\) | 21.4702 | − | 1.99787i | 1.23140 | − | 0.114586i | ||||
\(305\) | −4.45143 | − | 7.71011i | −0.254888 | − | 0.441480i | ||||
\(306\) | 8.99715 | − | 3.28876i | 0.514333 | − | 0.188006i | ||||
\(307\) | 11.8266 | − | 11.8266i | 0.674980 | − | 0.674980i | −0.283880 | − | 0.958860i | \(-0.591622\pi\) |
0.958860 | + | 0.283880i | \(0.0916217\pi\) | |||||||
\(308\) | 0.551820 | − | 1.17732i | 0.0314429 | − | 0.0670839i | ||||
\(309\) | −0.712918 | − | 0.712918i | −0.0405565 | − | 0.0405565i | ||||
\(310\) | 4.92715 | − | 10.6045i | 0.279843 | − | 0.602295i | ||||
\(311\) | 5.84539 | − | 3.37484i | 0.331462 | − | 0.191370i | −0.325028 | − | 0.945704i | \(-0.605374\pi\) |
0.656490 | + | 0.754335i | \(0.272040\pi\) | |||||||
\(312\) | 16.4021 | − | 0.0679015i | 0.928588 | − | 0.00384417i | ||||
\(313\) | −14.8332 | − | 8.56397i | −0.838424 | − | 0.484064i | 0.0183042 | − | 0.999832i | \(-0.494173\pi\) |
−0.856728 | + | 0.515768i | \(0.827507\pi\) | |||||||
\(314\) | 0.419687 | + | 4.72199i | 0.0236843 | + | 0.266477i | ||||
\(315\) | 1.00832 | + | 2.18934i | 0.0568126 | + | 0.123355i | ||||
\(316\) | 3.00114 | + | 16.7499i | 0.168827 | + | 0.942254i | ||||
\(317\) | 4.80055 | + | 17.9159i | 0.269626 | + | 1.00626i | 0.959358 | + | 0.282192i | \(0.0910615\pi\) |
−0.689732 | + | 0.724064i | \(0.742272\pi\) | |||||||
\(318\) | −5.58337 | − | 0.976556i | −0.313100 | − | 0.0547625i | ||||
\(319\) | −0.00535770 | − | 0.00927981i | −0.000299974 | − | 0.000519570i | ||||
\(320\) | −5.19610 | − | 5.11077i | −0.290471 | − | 0.285700i | ||||
\(321\) | −0.993110 | −0.0554300 | ||||||||
\(322\) | −18.5716 | + | 10.6395i | −1.03495 | + | 0.592915i | ||||
\(323\) | −25.8200 | + | 25.8200i | −1.43666 | + | 1.43666i | ||||
\(324\) | −1.88127 | − | 0.678851i | −0.104515 | − | 0.0377139i | ||||
\(325\) | 6.25882 | − | 23.3582i | 0.347177 | − | 1.29568i | ||||
\(326\) | 9.24080 | − | 6.48950i | 0.511801 | − | 0.359420i | ||||
\(327\) | 16.6210 | + | 9.59617i | 0.919146 | + | 0.530669i | ||||
\(328\) | 6.60447 | − | 11.5494i | 0.364671 | − | 0.637711i | ||||
\(329\) | 20.8067 | − | 3.56737i | 1.14711 | − | 0.196675i | ||||
\(330\) | −0.315342 | + | 0.0280274i | −0.0173590 | + | 0.00154286i | ||||
\(331\) | −24.8780 | + | 6.66605i | −1.36742 | + | 0.366399i | −0.866536 | − | 0.499115i | \(-0.833659\pi\) |
−0.500885 | + | 0.865514i | \(0.666992\pi\) | |||||||
\(332\) | 2.64995 | − | 31.2832i | 0.145435 | − | 1.71689i | ||||
\(333\) | −4.30646 | − | 1.15391i | −0.235992 | − | 0.0632339i | ||||
\(334\) | 20.8767 | − | 7.63115i | 1.14232 | − | 0.417558i | ||||
\(335\) | 4.15600 | 0.227067 | ||||||||
\(336\) | 10.2202 | − | 2.74714i | 0.557560 | − | 0.149869i | ||||
\(337\) | −27.7235 | −1.51020 | −0.755099 | − | 0.655611i | \(-0.772411\pi\) | ||||
−0.755099 | + | 0.655611i | \(0.772411\pi\) | |||||||
\(338\) | −27.4011 | + | 10.0160i | −1.49042 | + | 0.544799i | ||||
\(339\) | −15.2897 | − | 4.09686i | −0.830422 | − | 0.222511i | ||||
\(340\) | 12.2981 | + | 1.04175i | 0.666956 | + | 0.0564968i | ||||
\(341\) | −2.15410 | + | 0.577190i | −0.116651 | + | 0.0312566i | ||||
\(342\) | 7.59372 | − | 0.674924i | 0.410621 | − | 0.0364957i | ||||
\(343\) | 16.1688 | − | 9.03156i | 0.873035 | − | 0.487658i | ||||
\(344\) | −1.83629 | − | 6.74135i | −0.0990059 | − | 0.363469i | ||||
\(345\) | 4.51319 | + | 2.60569i | 0.242982 | + | 0.140286i | ||||
\(346\) | −10.9634 | + | 7.69920i | −0.589394 | + | 0.413911i | ||||
\(347\) | 2.08349 | − | 7.77567i | 0.111847 | − | 0.417420i | −0.887184 | − | 0.461415i | \(-0.847342\pi\) |
0.999032 | + | 0.0439950i | \(0.0140086\pi\) | |||||||
\(348\) | 0.0296035 | − | 0.0820388i | 0.00158692 | − | 0.00439774i | ||||
\(349\) | 16.0269 | − | 16.0269i | 0.857903 | − | 0.857903i | −0.133188 | − | 0.991091i | \(-0.542521\pi\) |
0.991091 | + | 0.133188i | \(0.0425214\pi\) | |||||||
\(350\) | 0.0522871 | − | 15.6027i | 0.00279486 | − | 0.833997i | ||||
\(351\) | 5.79908 | 0.309532 | ||||||||
\(352\) | −0.111590 | + | 1.38551i | −0.00594774 | + | 0.0738480i | ||||
\(353\) | −12.4021 | − | 21.4810i | −0.660095 | − | 1.14332i | −0.980590 | − | 0.196067i | \(-0.937183\pi\) |
0.320496 | − | 0.947250i | \(-0.396150\pi\) | |||||||
\(354\) | −6.33559 | − | 1.10812i | −0.336733 | − | 0.0588961i | ||||
\(355\) | 3.58898 | + | 13.3943i | 0.190483 | + | 0.710894i | ||||
\(356\) | 8.78016 | − | 1.57318i | 0.465348 | − | 0.0833782i | ||||
\(357\) | −10.3486 | + | 14.6316i | −0.547707 | + | 0.774384i | ||||
\(358\) | −2.15188 | − | 24.2113i | −0.113730 | − | 1.27961i | ||||
\(359\) | 14.3866 | + | 8.30614i | 0.759298 | + | 0.438381i | 0.829044 | − | 0.559184i | \(-0.188885\pi\) |
−0.0697454 | + | 0.997565i | \(0.522219\pi\) | |||||||
\(360\) | −1.82960 | − | 1.81452i | −0.0964286 | − | 0.0956335i | ||||
\(361\) | −8.71223 | + | 5.03001i | −0.458538 | + | 0.264737i | ||||
\(362\) | 3.33469 | − | 7.17711i | 0.175268 | − | 0.377221i | ||||
\(363\) | −7.73548 | − | 7.73548i | −0.406007 | − | 0.406007i | ||||
\(364\) | −25.1710 | + | 17.5511i | −1.31932 | + | 0.919927i | ||||
\(365\) | 3.39495 | − | 3.39495i | 0.177700 | − | 0.177700i | ||||
\(366\) | −12.9800 | + | 4.74464i | −0.678477 | + | 0.248006i | ||||
\(367\) | −5.62737 | − | 9.74689i | −0.293746 | − | 0.508784i | 0.680946 | − | 0.732334i | \(-0.261569\pi\) |
−0.974692 | + | 0.223550i | \(0.928235\pi\) | |||||||
\(368\) | 14.6107 | − | 17.6088i | 0.761636 | − | 0.917925i | ||||
\(369\) | 2.35192 | − | 4.07364i | 0.122436 | − | 0.212065i | ||||
\(370\) | −4.40539 | − | 3.68621i | −0.229025 | − | 0.191637i | ||||
\(371\) | 9.63166 | − | 4.43596i | 0.500051 | − | 0.230304i | ||||
\(372\) | −14.8975 | − | 10.3702i | −0.772402 | − | 0.537671i | ||||
\(373\) | 20.9534 | − | 5.61445i | 1.08493 | − | 0.290705i | 0.328314 | − | 0.944569i | \(-0.393519\pi\) |
0.756613 | + | 0.653863i | \(0.226853\pi\) | |||||||
\(374\) | −1.35277 | − | 1.92629i | −0.0699499 | − | 0.0996060i | ||||
\(375\) | −7.23498 | + | 4.17711i | −0.373613 | + | 0.215705i | ||||
\(376\) | −19.4975 | + | 11.3647i | −1.00550 | + | 0.586092i | ||||
\(377\) | 0.252888i | 0.0130244i | ||||||||
\(378\) | 3.61739 | − | 0.956295i | 0.186058 | − | 0.0491865i | ||||
\(379\) | −2.33732 | − | 2.33732i | −0.120060 | − | 0.120060i | 0.644524 | − | 0.764584i | \(-0.277056\pi\) |
−0.764584 | + | 0.644524i | \(0.777056\pi\) | |||||||
\(380\) | 9.23921 | + | 3.33395i | 0.473961 | + | 0.171028i | ||||
\(381\) | 8.98226 | + | 2.40679i | 0.460175 | + | 0.123304i | ||||
\(382\) | 17.4715 | + | 3.05584i | 0.893918 | + | 0.156350i | ||||
\(383\) | −4.25703 | + | 7.37340i | −0.217524 | + | 0.376763i | −0.954050 | − | 0.299646i | \(-0.903131\pi\) |
0.736526 | + | 0.676409i | \(0.236465\pi\) | |||||||
\(384\) | −9.20453 | + | 6.57849i | −0.469717 | + | 0.335707i | ||||
\(385\) | 0.455507 | − | 0.378558i | 0.0232148 | − | 0.0192931i | ||||
\(386\) | 21.5346 | − | 25.7360i | 1.09608 | − | 1.30993i | ||||
\(387\) | −0.639352 | − | 2.38610i | −0.0325001 | − | 0.121292i | ||||
\(388\) | −11.3192 | + | 9.55133i | −0.574647 | + | 0.484895i | ||||
\(389\) | −3.88898 | + | 14.5139i | −0.197179 | + | 0.735883i | 0.794513 | + | 0.607248i | \(0.207726\pi\) |
−0.991692 | + | 0.128635i | \(0.958940\pi\) | |||||||
\(390\) | 6.77588 | + | 3.14827i | 0.343110 | + | 0.159419i | ||||
\(391\) | 38.7471i | 1.95953i | ||||||||
\(392\) | −12.8071 | + | 15.0990i | −0.646856 | + | 0.762612i | ||||
\(393\) | 10.2314i | 0.516106i | ||||||||
\(394\) | −0.138350 | + | 0.297764i | −0.00696996 | + | 0.0150011i | ||||
\(395\) | −2.00621 | + | 7.48727i | −0.100943 | + | 0.376725i | ||||
\(396\) | −0.0414804 | + | 0.489685i | −0.00208447 | + | 0.0246076i | ||||
\(397\) | −2.59273 | − | 9.67621i | −0.130126 | − | 0.485635i | 0.869845 | − | 0.493325i | \(-0.164219\pi\) |
−0.999970 | + | 0.00769021i | \(0.997552\pi\) | |||||||
\(398\) | 7.34172 | + | 6.14319i | 0.368007 | + | 0.307930i | ||||
\(399\) | −10.9690 | + | 9.11599i | −0.549136 | + | 0.456370i | ||||
\(400\) | 5.79134 | + | 15.6424i | 0.289567 | + | 0.782119i | ||||
\(401\) | −3.06081 | + | 5.30148i | −0.152849 | + | 0.264743i | −0.932274 | − | 0.361753i | \(-0.882178\pi\) |
0.779424 | + | 0.626496i | \(0.215512\pi\) | |||||||
\(402\) | 1.11151 | − | 6.35493i | 0.0554369 | − | 0.316955i | ||||
\(403\) | 50.8378 | + | 13.6219i | 2.53241 | + | 0.678557i | ||||
\(404\) | −1.77709 | − | 3.78368i | −0.0884134 | − | 0.188245i | ||||
\(405\) | −0.644201 | − | 0.644201i | −0.0320106 | − | 0.0320106i | ||||
\(406\) | 0.0417024 | + | 0.157748i | 0.00206966 | + | 0.00782891i | ||||
\(407\) | 1.09551i | 0.0543023i | ||||||||
\(408\) | 4.88200 | − | 18.5263i | 0.241695 | − | 0.917190i | ||||
\(409\) | 18.0632 | − | 10.4288i | 0.893168 | − | 0.515671i | 0.0181904 | − | 0.999835i | \(-0.494209\pi\) |
0.874977 | + | 0.484164i | \(0.160876\pi\) | |||||||
\(410\) | 4.95962 | − | 3.48297i | 0.244938 | − | 0.172012i | ||||
\(411\) | 0.226902 | − | 0.0607983i | 0.0111923 | − | 0.00299896i | ||||
\(412\) | −1.98483 | + | 0.355630i | −0.0977855 | + | 0.0175206i | ||||
\(413\) | 10.9293 | − | 5.03360i | 0.537796 | − | 0.247687i | ||||
\(414\) | 5.19139 | − | 6.20423i | 0.255143 | − | 0.304921i | ||||
\(415\) | 7.15056 | − | 12.3851i | 0.351007 | − | 0.607962i | ||||
\(416\) | 18.6301 | − | 27.0011i | 0.913414 | − | 1.32384i | ||||
\(417\) | −3.78840 | − | 6.56170i | −0.185519 | − | 0.321328i | ||||
\(418\) | −0.643127 | − | 1.75942i | −0.0314564 | − | 0.0860560i | ||||
\(419\) | −4.46804 | + | 4.46804i | −0.218278 | + | 0.218278i | −0.807772 | − | 0.589494i | \(-0.799327\pi\) |
0.589494 | + | 0.807772i | \(0.299327\pi\) | |||||||
\(420\) | 4.74586 | + | 0.846473i | 0.231574 | + | 0.0413037i | ||||
\(421\) | −0.515100 | − | 0.515100i | −0.0251044 | − | 0.0251044i | 0.694443 | − | 0.719548i | \(-0.255651\pi\) |
−0.719548 | + | 0.694443i | \(0.755651\pi\) | |||||||
\(422\) | −16.3723 | − | 7.60705i | −0.796992 | − | 0.370305i | ||||
\(423\) | −6.90997 | + | 3.98947i | −0.335974 | + | 0.193975i | ||||
\(424\) | −7.98269 | + | 8.04905i | −0.387673 | + | 0.390897i | ||||
\(425\) | −24.4619 | − | 14.1231i | −1.18658 | − | 0.685071i | ||||
\(426\) | 21.4410 | − | 1.90566i | 1.03882 | − | 0.0923295i | ||||
\(427\) | 14.9298 | − | 21.1087i | 0.722502 | − | 1.02152i | ||||
\(428\) | −1.13475 | + | 1.63015i | −0.0548504 | + | 0.0787965i | ||||
\(429\) | −0.368803 | − | 1.37639i | −0.0178060 | − | 0.0664529i | ||||
\(430\) | 0.548344 | − | 3.13511i | 0.0264435 | − | 0.151188i | ||||
\(431\) | 17.8742 | + | 30.9591i | 0.860971 | + | 1.49125i | 0.870992 | + | 0.491296i | \(0.163477\pi\) |
−0.0100211 | + | 0.999950i | \(0.503190\pi\) | |||||||
\(432\) | −3.26389 | + | 2.31236i | −0.157034 | + | 0.111253i | ||||
\(433\) | 22.1382 | 1.06389 | 0.531946 | − | 0.846778i | \(-0.321461\pi\) | ||||
0.531946 | + | 0.846778i | \(0.321461\pi\) | |||||||
\(434\) | 33.9582 | + | 0.113800i | 1.63005 | + | 0.00546256i | ||||
\(435\) | 0.0280925 | − | 0.0280925i | 0.00134693 | − | 0.00134693i | ||||
\(436\) | 34.7434 | − | 16.3180i | 1.66391 | − | 0.781491i | ||||
\(437\) | −7.98107 | + | 29.7857i | −0.381786 | + | 1.42485i | ||||
\(438\) | −4.28325 | − | 6.09918i | −0.204661 | − | 0.291430i | ||||
\(439\) | −10.6653 | − | 6.15762i | −0.509027 | − | 0.293887i | 0.223406 | − | 0.974725i | \(-0.428282\pi\) |
−0.732434 | + | 0.680838i | \(0.761616\pi\) | |||||||
\(440\) | −0.314313 | + | 0.549648i | −0.0149843 | + | 0.0262034i | ||||
\(441\) | −4.55005 | + | 5.31950i | −0.216669 | + | 0.253309i | ||||
\(442\) | 4.91801 | + | 55.3335i | 0.233926 | + | 2.63195i | ||||
\(443\) | −5.09678 | + | 1.36568i | −0.242155 | + | 0.0648853i | −0.377855 | − | 0.925865i | \(-0.623338\pi\) |
0.135700 | + | 0.990750i | \(0.456672\pi\) | |||||||
\(444\) | −6.81478 | + | 5.75040i | −0.323415 | + | 0.272902i | ||||
\(445\) | 3.92477 | + | 1.05164i | 0.186052 | + | 0.0498525i | ||||
\(446\) | 1.18087 | + | 3.23053i | 0.0559158 | + | 0.152970i | ||||
\(447\) | −11.3180 | −0.535325 | ||||||||
\(448\) | 7.16858 | − | 19.9151i | 0.338684 | − | 0.940900i | ||||
\(449\) | −25.7102 | −1.21334 | −0.606670 | − | 0.794954i | \(-0.707495\pi\) | ||||
−0.606670 | + | 0.794954i | \(0.707495\pi\) | |||||||
\(450\) | 2.02463 | + | 5.53885i | 0.0954422 | + | 0.261104i | ||||
\(451\) | −1.11644 | − | 0.299149i | −0.0525711 | − | 0.0140864i | ||||
\(452\) | −24.1953 | + | 20.4163i | −1.13805 | + | 0.960301i | ||||
\(453\) | 6.11504 | − | 1.63852i | 0.287310 | − | 0.0769844i | ||||
\(454\) | 1.86667 | + | 21.0023i | 0.0876072 | + | 0.985687i | ||||
\(455\) | −13.7770 | + | 2.36210i | −0.645874 | + | 0.110737i | ||||
\(456\) | 7.56892 | − | 13.2360i | 0.354447 | − | 0.619832i | ||||
\(457\) | 3.46724 | + | 2.00181i | 0.162191 | + | 0.0936407i | 0.578898 | − | 0.815400i | \(-0.303483\pi\) |
−0.416708 | + | 0.909041i | \(0.636816\pi\) | |||||||
\(458\) | 3.53863 | + | 5.03888i | 0.165349 | + | 0.235451i | ||||
\(459\) | 1.75315 | − | 6.54284i | 0.0818300 | − | 0.305394i | ||||
\(460\) | 9.43405 | − | 4.43091i | 0.439865 | − | 0.206592i | ||||
\(461\) | 5.80743 | − | 5.80743i | 0.270479 | − | 0.270479i | −0.558814 | − | 0.829293i | \(-0.688743\pi\) |
0.829293 | + | 0.558814i | \(0.188743\pi\) | |||||||
\(462\) | −0.457028 | − | 0.797758i | −0.0212629 | − | 0.0371150i | ||||
\(463\) | 6.56637 | 0.305165 | 0.152583 | − | 0.988291i | \(-0.451241\pi\) | ||||
0.152583 | + | 0.988291i | \(0.451241\pi\) | |||||||
\(464\) | −0.100838 | − | 0.142333i | −0.00468128 | − | 0.00660764i | ||||
\(465\) | −4.13419 | − | 7.16062i | −0.191718 | − | 0.332066i | ||||
\(466\) | 2.95300 | − | 16.8835i | 0.136795 | − | 0.782112i | ||||
\(467\) | −5.62557 | − | 20.9949i | −0.260320 | − | 0.971529i | −0.965053 | − | 0.262056i | \(-0.915600\pi\) |
0.704732 | − | 0.709473i | \(-0.251067\pi\) | |||||||
\(468\) | 6.62619 | − | 9.51898i | 0.306296 | − | 0.440015i | ||||
\(469\) | 5.04897 | + | 10.9627i | 0.233140 | + | 0.506209i | ||||
\(470\) | −10.2397 | + | 0.910100i | −0.472323 | + | 0.0419798i | ||||
\(471\) | 2.90301 | + | 1.67606i | 0.133764 | + | 0.0772286i | ||||
\(472\) | −9.05816 | + | 9.13347i | −0.416936 | + | 0.420402i | ||||
\(473\) | −0.525671 | + | 0.303496i | −0.0241704 | + | 0.0139548i | ||||
\(474\) | 10.9122 | + | 5.07012i | 0.501214 | + | 0.232879i | ||||
\(475\) | −15.8953 | − | 15.8953i | −0.729328 | − | 0.729328i | ||||
\(476\) | 12.1925 | + | 33.7053i | 0.558844 | + | 1.54488i | ||||
\(477\) | −2.83406 | + | 2.83406i | −0.129763 | + | 0.129763i | ||||
\(478\) | 1.68181 | + | 4.60096i | 0.0769241 | + | 0.210443i | ||||
\(479\) | 2.85264 | + | 4.94092i | 0.130341 | + | 0.225757i | 0.923808 | − | 0.382856i | \(-0.125060\pi\) |
−0.793467 | + | 0.608613i | \(0.791726\pi\) | |||||||
\(480\) | −5.06902 | + | 0.929911i | −0.231368 | + | 0.0424445i | ||||
\(481\) | 12.9272 | − | 22.3906i | 0.589431 | − | 1.02092i | ||||
\(482\) | 5.08540 | − | 6.07756i | 0.231634 | − | 0.276825i | ||||
\(483\) | −1.39037 | + | 15.0704i | −0.0632638 | + | 0.685728i | ||||
\(484\) | −21.5363 | + | 3.85874i | −0.978922 | + | 0.175397i | ||||
\(485\) | −6.51662 | + | 1.74612i | −0.295904 | + | 0.0792874i | ||||
\(486\) | −1.15734 | + | 0.812757i | −0.0524978 | + | 0.0368674i | ||||
\(487\) | −32.9747 | + | 19.0379i | −1.49423 | + | 0.862692i | −0.999978 | − | 0.00662909i | \(-0.997890\pi\) |
−0.494248 | + | 0.869321i | \(0.664557\pi\) | |||||||
\(488\) | −7.04318 | + | 26.7276i | −0.318830 | + | 1.20990i | ||||
\(489\) | − | 7.98455i | − | 0.361074i | ||||||
\(490\) | −8.20436 | + | 3.74533i | −0.370635 | + | 0.169197i | ||||
\(491\) | 4.83139 | + | 4.83139i | 0.218038 | + | 0.218038i | 0.807671 | − | 0.589633i | \(-0.200728\pi\) |
−0.589633 | + | 0.807671i | \(0.700728\pi\) | |||||||
\(492\) | −3.99937 | − | 8.51524i | −0.180305 | − | 0.383897i | ||||
\(493\) | 0.285322 | + | 0.0764519i | 0.0128503 | + | 0.00344322i | ||||
\(494\) | −7.61693 | + | 43.5491i | −0.342702 | + | 1.95936i | ||||
\(495\) | −0.111930 | + | 0.193868i | −0.00503087 | + | 0.00871373i | ||||
\(496\) | −34.0447 | + | 12.6045i | −1.52865 | + | 0.565958i | ||||
\(497\) | −30.9711 | + | 25.7392i | −1.38925 | + | 1.15456i | ||||
\(498\) | −17.0257 | − | 14.2463i | −0.762939 | − | 0.638390i | ||||
\(499\) | −6.55657 | − | 24.4694i | −0.293512 | − | 1.09540i | −0.942392 | − | 0.334511i | \(-0.891429\pi\) |
0.648879 | − | 0.760891i | \(-0.275238\pi\) | |||||||
\(500\) | −1.41030 | + | 16.6488i | −0.0630703 | + | 0.744559i | ||||
\(501\) | 4.06796 | − | 15.1818i | 0.181743 | − | 0.678274i | ||||
\(502\) | 1.84537 | − | 3.97170i | 0.0823628 | − | 0.177266i | ||||
\(503\) | 39.5772i | 1.76466i | 0.470632 | + | 0.882330i | \(0.344026\pi\) | ||||
−0.470632 | + | 0.882330i | \(0.655974\pi\) | |||||||
\(504\) | 2.56360 | − | 7.03050i | 0.114192 | − | 0.313163i | ||||
\(505\) | − | 1.90417i | − | 0.0847345i | ||||||
\(506\) | −1.80271 | − | 0.837591i | −0.0801402 | − | 0.0372354i | ||||
\(507\) | −5.33926 | + | 19.9264i | −0.237125 | + | 0.884963i | ||||
\(508\) | 14.2140 | − | 11.9940i | 0.630645 | − | 0.532147i | ||||
\(509\) | 7.06761 | + | 26.3767i | 0.313266 | + | 1.16913i | 0.925593 | + | 0.378521i | \(0.123567\pi\) |
−0.612327 | + | 0.790605i | \(0.709766\pi\) | |||||||
\(510\) | 5.60050 | − | 6.69315i | 0.247994 | − | 0.296378i | ||||
\(511\) | 13.0796 | + | 4.83078i | 0.578606 | + | 0.213701i | ||||
\(512\) | 0.281010 | + | 22.6257i | 0.0124190 | + | 0.999923i | ||||
\(513\) | 2.69537 | − | 4.66851i | 0.119003 | − | 0.206120i | ||||
\(514\) | −38.3103 | − | 6.70064i | −1.68979 | − | 0.295553i | ||||
\(515\) | −0.887228 | − | 0.237732i | −0.0390959 | − | 0.0104757i | ||||
\(516\) | −4.64723 | − | 1.67694i | −0.204583 | − | 0.0738233i | ||||
\(517\) | 1.38634 | + | 1.38634i | 0.0609711 | + | 0.0609711i | ||||
\(518\) | 4.37151 | − | 16.0987i | 0.192073 | − | 0.707337i | ||||
\(519\) | 9.47293i | 0.415816i | ||||||||
\(520\) | 12.9101 | − | 7.52506i | 0.566144 | − | 0.329996i | ||||
\(521\) | −21.8879 | + | 12.6370i | −0.958925 | + | 0.553635i | −0.895842 | − | 0.444373i | \(-0.853427\pi\) |
−0.0630828 | + | 0.998008i | \(0.520093\pi\) | |||||||
\(522\) | −0.0354430 | − | 0.0504694i | −0.00155130 | − | 0.00220899i | ||||
\(523\) | 14.1981 | − | 3.80436i | 0.620838 | − | 0.166353i | 0.0653292 | − | 0.997864i | \(-0.479190\pi\) |
0.555509 | + | 0.831511i | \(0.312524\pi\) | |||||||
\(524\) | 16.7945 | + | 11.6907i | 0.733670 | + | 0.510709i | ||||
\(525\) | −9.00751 | − | 6.37084i | −0.393120 | − | 0.278046i | ||||
\(526\) | 6.64360 | + | 5.55903i | 0.289675 | + | 0.242385i | ||||
\(527\) | 30.7380 | − | 53.2399i | 1.33897 | − | 2.31916i | ||||
\(528\) | 0.756404 | + | 0.627616i | 0.0329182 | + | 0.0273135i | ||||
\(529\) | 4.86076 | + | 8.41908i | 0.211337 | + | 0.366047i | ||||
\(530\) | −4.85002 | + | 1.77284i | −0.210671 | + | 0.0770075i | ||||
\(531\) | −3.21588 | + | 3.21588i | −0.139557 | + | 0.139557i | ||||
\(532\) | 2.43010 | + | 28.4214i | 0.105358 | + | 1.23222i | ||||
\(533\) | 19.2884 | + | 19.2884i | 0.835473 | + | 0.835473i | ||||
\(534\) | 2.65772 | − | 5.72010i | 0.115011 | − | 0.247533i | ||||
\(535\) | −0.783547 | + | 0.452381i | −0.0338757 | + | 0.0195581i | ||||
\(536\) | −9.16135 | − | 9.08581i | −0.395710 | − | 0.392447i | ||||
\(537\) | −14.8848 | − | 8.59372i | −0.642325 | − | 0.370846i | ||||
\(538\) | −2.66632 | − | 29.9993i | −0.114953 | − | 1.29336i | ||||
\(539\) | 1.55193 | + | 0.741636i | 0.0668465 | + | 0.0319445i | ||||
\(540\) | −1.79352 | + | 0.321351i | −0.0771806 | + | 0.0138288i | ||||
\(541\) | 5.46362 | + | 20.3905i | 0.234899 | + | 0.876656i | 0.978194 | + | 0.207692i | \(0.0665953\pi\) |
−0.743295 | + | 0.668964i | \(0.766738\pi\) | |||||||
\(542\) | 8.55310 | + | 1.49598i | 0.367387 | + | 0.0642576i | ||||
\(543\) | −2.79802 | − | 4.84630i | −0.120074 | − | 0.207975i | ||||
\(544\) | −24.8320 | − | 29.1823i | −1.06466 | − | 1.25118i | ||||
\(545\) | 17.4850 | 0.748973 | ||||||||
\(546\) | −0.0727138 | + | 21.6980i | −0.00311186 | + | 0.928591i | ||||
\(547\) | 3.95525 | − | 3.95525i | 0.169114 | − | 0.169114i | −0.617476 | − | 0.786590i | \(-0.711845\pi\) |
0.786590 | + | 0.617476i | \(0.211845\pi\) | |||||||
\(548\) | 0.159467 | − | 0.441922i | 0.00681208 | − | 0.0188780i | ||||
\(549\) | −2.52924 | + | 9.43924i | −0.107945 | + | 0.402857i | ||||
\(550\) | 1.18587 | − | 0.832793i | 0.0505655 | − | 0.0355104i | ||||
\(551\) | 0.203586 | + | 0.117540i | 0.00867305 | + | 0.00500739i | ||||
\(552\) | −4.25219 | − | 15.6106i | −0.180985 | − | 0.664431i | ||||
\(553\) | −22.1871 | + | 3.80404i | −0.943492 | + | 0.161764i | ||||
\(554\) | −41.0332 | + | 3.64700i | −1.74333 | + | 0.154946i | ||||
\(555\) | −3.92335 | + | 1.05126i | −0.166537 | + | 0.0446234i | ||||
\(556\) | −15.0995 | − | 1.27906i | −0.640362 | − | 0.0542440i | ||||
\(557\) | 14.0332 | + | 3.76019i | 0.594607 | + | 0.159325i | 0.543558 | − | 0.839372i | \(-0.317077\pi\) |
0.0510493 | + | 0.998696i | \(0.483743\pi\) | |||||||
\(558\) | −12.0550 | + | 4.40649i | −0.510327 | + | 0.186542i | ||||
\(559\) | 14.3253 | 0.605895 | ||||||||
\(560\) | 6.81221 | − | 6.82296i | 0.287868 | − | 0.288323i | ||||
\(561\) | −1.66442 | −0.0702717 | ||||||||
\(562\) | −3.36681 | + | 1.23068i | −0.142020 | + | 0.0519132i | ||||
\(563\) | 22.4852 | + | 6.02490i | 0.947639 | + | 0.253919i | 0.699360 | − | 0.714770i | \(-0.253468\pi\) |
0.248279 | + | 0.968689i | \(0.420135\pi\) | |||||||
\(564\) | −1.34694 | + | 15.9009i | −0.0567165 | + | 0.669550i | ||||
\(565\) | −13.9295 | + | 3.73240i | −0.586018 | + | 0.157023i | ||||
\(566\) | 26.5284 | − | 2.35783i | 1.11507 | − | 0.0991070i | ||||
\(567\) | 0.916652 | − | 2.48188i | 0.0384958 | − | 0.104229i | ||||
\(568\) | 21.3710 | − | 37.3721i | 0.896706 | − | 1.56810i | ||||
\(569\) | 16.9620 | + | 9.79303i | 0.711085 | + | 0.410545i | 0.811463 | − | 0.584404i | \(-0.198672\pi\) |
−0.100378 | + | 0.994949i | \(0.532005\pi\) | |||||||
\(570\) | 5.68387 | − | 3.99159i | 0.238071 | − | 0.167189i | ||||
\(571\) | 5.19060 | − | 19.3716i | 0.217220 | − | 0.810676i | −0.768153 | − | 0.640266i | \(-0.778824\pi\) |
0.985373 | − | 0.170410i | \(-0.0545091\pi\) | |||||||
\(572\) | −2.68070 | − | 0.967326i | −0.112086 | − | 0.0404459i | ||||
\(573\) | 8.86834 | − | 8.86834i | 0.370480 | − | 0.370480i | ||||
\(574\) | 15.2126 | + | 8.85110i | 0.634961 | + | 0.369438i | ||||
\(575\) | −23.8536 | −0.994763 | ||||||||
\(576\) | 0.0662356 | + | 7.99973i | 0.00275982 | + | 0.333322i | ||||
\(577\) | 3.79129 | + | 6.56670i | 0.157833 | + | 0.273375i | 0.934087 | − | 0.357045i | \(-0.116216\pi\) |
−0.776254 | + | 0.630421i | \(0.782882\pi\) | |||||||
\(578\) | 40.2350 | + | 7.03728i | 1.67356 | + | 0.292712i | ||||
\(579\) | −6.14138 | − | 22.9199i | −0.255227 | − | 0.952520i | ||||
\(580\) | −0.0140136 | − | 0.0782121i | −0.000581882 | − | 0.00324758i | ||||
\(581\) | 41.3563 | + | 3.81545i | 1.71575 | + | 0.158292i | ||||
\(582\) | 0.927148 | + | 10.4315i | 0.0384315 | + | 0.432401i | ||||
\(583\) | 0.852893 | + | 0.492418i | 0.0353232 | + | 0.0203939i | ||||
\(584\) | −14.9057 | + | 0.0617068i | −0.616804 | + | 0.00255344i | ||||
\(585\) | 4.57537 | − | 2.64159i | 0.189168 | − | 0.109216i | ||||
\(586\) | −7.97789 | + | 17.1705i | −0.329563 | + | 0.709305i | ||||
\(587\) | −26.6533 | − | 26.6533i | −1.10010 | − | 1.10010i | −0.994398 | − | 0.105704i | \(-0.966290\pi\) |
−0.105704 | − | 0.994398i | \(-0.533710\pi\) | |||||||
\(588\) | 3.53275 | + | 13.5469i | 0.145688 | + | 0.558667i | ||||
\(589\) | 34.5952 | − | 34.5952i | 1.42547 | − | 1.42547i | ||||
\(590\) | −5.50344 | + | 2.01169i | −0.226573 | + | 0.0828201i | ||||
\(591\) | 0.116084 | + | 0.201064i | 0.00477506 | + | 0.00827065i | ||||
\(592\) | 1.65233 | + | 17.7568i | 0.0679102 | + | 0.729799i | ||||
\(593\) | −4.10035 | + | 7.10201i | −0.168381 | + | 0.291645i | −0.937851 | − | 0.347039i | \(-0.887187\pi\) |
0.769470 | + | 0.638683i | \(0.220521\pi\) | |||||||
\(594\) | 0.266508 | + | 0.223001i | 0.0109350 | + | 0.00914984i | ||||
\(595\) | −1.49993 | + | 16.2580i | −0.0614913 | + | 0.666514i | ||||
\(596\) | −12.9323 | + | 18.5782i | −0.529728 | + | 0.760991i | ||||
\(597\) | 6.53839 | − | 1.75196i | 0.267598 | − | 0.0717028i | ||||
\(598\) | 26.9610 | + | 38.3915i | 1.10252 | + | 1.56995i | ||||
\(599\) | 35.9742 | − | 20.7697i | 1.46987 | − | 0.848629i | 0.470439 | − | 0.882432i | \(-0.344095\pi\) |
0.999428 | + | 0.0338038i | \(0.0107621\pi\) | |||||||
\(600\) | 11.4052 | + | 3.00547i | 0.465616 | + | 0.122698i | ||||
\(601\) | 14.4179i | 0.588117i | 0.955787 | + | 0.294058i | \(0.0950060\pi\) | ||||
−0.955787 | + | 0.294058i | \(0.904994\pi\) | |||||||
\(602\) | 8.93592 | − | 2.36231i | 0.364201 | − | 0.0962804i | ||||
\(603\) | −3.22570 | − | 3.22570i | −0.131361 | − | 0.131361i | ||||
\(604\) | 4.29764 | − | 11.9098i | 0.174868 | − | 0.484604i | ||||
\(605\) | −9.62682 | − | 2.57950i | −0.391386 | − | 0.104872i | ||||
\(606\) | −2.91166 | − | 0.509263i | −0.118278 | − | 0.0206874i | ||||
\(607\) | 14.1963 | − | 24.5886i | 0.576208 | − | 0.998022i | −0.419701 | − | 0.907663i | \(-0.637865\pi\) |
0.995909 | − | 0.0903598i | \(-0.0288017\pi\) | |||||||
\(608\) | −13.0780 | − | 27.5479i | −0.530381 | − | 1.11722i | ||||
\(609\) | 0.108231 | + | 0.0399736i | 0.00438573 | + | 0.00161981i | ||||
\(610\) | −8.07974 | + | 9.65608i | −0.327139 | + | 0.390963i | ||||
\(611\) | −11.9757 | − | 44.6939i | −0.484485 | − | 1.80812i | ||||
\(612\) | −8.73664 | − | 10.3538i | −0.353158 | − | 0.418526i | ||||
\(613\) | −9.82021 | + | 36.6495i | −0.396634 | + | 1.48026i | 0.422344 | + | 0.906436i | \(0.361207\pi\) |
−0.818978 | + | 0.573824i | \(0.805459\pi\) | |||||||
\(614\) | −21.4509 | − | 9.96669i | −0.865686 | − | 0.402223i | ||||
\(615\) | − | 4.28537i | − | 0.172803i | ||||||
\(616\) | −1.83170 | − | 0.161345i | −0.0738014 | − | 0.00650076i | ||||
\(617\) | 37.1945i | 1.49739i | 0.662913 | + | 0.748696i | \(0.269320\pi\) | ||||
−0.662913 | + | 0.748696i | \(0.730680\pi\) | |||||||
\(618\) | −0.600801 | + | 1.29308i | −0.0241678 | + | 0.0520152i | ||||
\(619\) | 11.5565 | − | 43.1295i | 0.464495 | − | 1.73352i | −0.194062 | − | 0.980989i | \(-0.562166\pi\) |
0.658557 | − | 0.752531i | \(-0.271167\pi\) | |||||||
\(620\) | −16.4777 | − | 1.39580i | −0.661762 | − | 0.0560568i | ||||
\(621\) | −1.48052 | − | 5.52536i | −0.0594110 | − | 0.221725i | ||||
\(622\) | −7.32073 | − | 6.12562i | −0.293534 | − | 0.245615i | ||||
\(623\) | 1.99405 | + | 11.6303i | 0.0798900 | + | 0.465959i | ||||
\(624\) | −8.05380 | − | 21.7533i | −0.322410 | − | 0.870829i | ||||
\(625\) | 6.61951 | − | 11.4653i | 0.264780 | − | 0.458613i | ||||
\(626\) | −4.17328 | + | 23.8604i | −0.166798 | + | 0.953652i | ||||
\(627\) | −1.27947 | − | 0.342834i | −0.0510972 | − | 0.0136915i | ||||
\(628\) | 6.06825 | − | 2.85009i | 0.242149 | − | 0.113731i | ||||
\(629\) | −21.3542 | − | 21.3542i | −0.851449 | − | 0.851449i | ||||
\(630\) | 2.41844 | − | 2.40229i | 0.0963532 | − | 0.0957095i | ||||
\(631\) | − | 0.677252i | − | 0.0269610i | −0.999909 | − | 0.0134805i | \(-0.995709\pi\) | ||
0.999909 | − | 0.0134805i | \(-0.00429110\pi\) | |||||||
\(632\) | 20.7910 | − | 12.1187i | 0.827022 | − | 0.482057i | ||||
\(633\) | −11.0553 | + | 6.38279i | −0.439409 | + | 0.253693i | ||||
\(634\) | 21.4661 | − | 15.0749i | 0.852529 | − | 0.598702i | ||||
\(635\) | 8.18318 | − | 2.19268i | 0.324740 | − | 0.0870137i | ||||
\(636\) | 1.41373 | + | 7.89029i | 0.0560582 | + | 0.312870i | ||||
\(637\) | −22.9678 | − | 33.4711i | −0.910019 | − | 1.32617i | ||||
\(638\) | −0.00972469 | + | 0.0116220i | −0.000385004 | + | 0.000460118i | ||||
\(639\) | 7.61042 | − | 13.1816i | 0.301063 | − | 0.521457i | ||||
\(640\) | −4.26558 | + | 9.38316i | −0.168612 | + | 0.370902i | ||||
\(641\) | 20.5629 | + | 35.6160i | 0.812185 | + | 1.40675i | 0.911332 | + | 0.411673i | \(0.135055\pi\) |
−0.0991466 | + | 0.995073i | \(0.531611\pi\) | |||||||
\(642\) | 0.482178 | + | 1.31911i | 0.0190300 | + | 0.0520610i | ||||
\(643\) | −12.1195 | + | 12.1195i | −0.477945 | + | 0.477945i | −0.904474 | − | 0.426529i | \(-0.859736\pi\) |
0.426529 | + | 0.904474i | \(0.359736\pi\) | |||||||
\(644\) | 23.1489 | + | 19.5021i | 0.912193 | + | 0.768490i | ||||
\(645\) | −1.59135 | − | 1.59135i | −0.0626594 | − | 0.0626594i | ||||
\(646\) | 46.8317 | + | 21.7594i | 1.84257 | + | 0.856111i | ||||
\(647\) | −8.94599 | + | 5.16497i | −0.351703 | + | 0.203056i | −0.665435 | − | 0.746456i | \(-0.731754\pi\) |
0.313732 | + | 0.949512i | \(0.398421\pi\) | |||||||
\(648\) | 0.0117090 | + | 2.82840i | 0.000459974 | + | 0.111110i | ||||
\(649\) | 0.967799 | + | 0.558759i | 0.0379894 | + | 0.0219332i | ||||
\(650\) | −34.0645 | + | 3.02763i | −1.33612 | + | 0.118754i | ||||
\(651\) | 13.8658 | − | 19.6043i | 0.543442 | − | 0.768353i | ||||
\(652\) | −13.1064 | − | 9.12336i | −0.513284 | − | 0.357299i | ||||
\(653\) | −0.436099 | − | 1.62754i | −0.0170659 | − | 0.0636907i | 0.956868 | − | 0.290524i | \(-0.0938295\pi\) |
−0.973934 | + | 0.226833i | \(0.927163\pi\) | |||||||
\(654\) | 4.67628 | − | 26.7362i | 0.182857 | − | 1.04547i | ||||
\(655\) | 4.66060 | + | 8.07239i | 0.182105 | + | 0.315415i | ||||
\(656\) | −18.5472 | − | 3.16492i | −0.724148 | − | 0.123569i | ||||
\(657\) | −5.27002 | −0.205603 | ||||||||
\(658\) | −14.8405 | − | 25.9046i | −0.578543 | − | 1.00987i | ||||
\(659\) | 17.3312 | − | 17.3312i | 0.675130 | − | 0.675130i | −0.283764 | − | 0.958894i | \(-0.591583\pi\) |
0.958894 | + | 0.283764i | \(0.0915834\pi\) | |||||||
\(660\) | 0.190334 | + | 0.405248i | 0.00740872 | + | 0.0157743i | ||||
\(661\) | 8.84438 | − | 33.0077i | 0.344007 | − | 1.28385i | −0.549762 | − | 0.835321i | \(-0.685282\pi\) |
0.893768 | − | 0.448529i | \(-0.148052\pi\) | |||||||
\(662\) | 20.9331 | + | 29.8079i | 0.813588 | + | 1.15852i | ||||
\(663\) | 34.0183 | + | 19.6405i | 1.32116 | + | 0.762773i | ||||
\(664\) | −42.8387 | + | 11.6689i | −1.66246 | + | 0.452841i | ||||
\(665\) | −4.50183 | + | 12.1889i | −0.174574 | + | 0.472667i | ||||
\(666\) | 0.558192 | + | 6.28033i | 0.0216295 | + | 0.243358i | ||||
\(667\) | 0.240951 | − | 0.0645627i | 0.00932968 | − | 0.00249988i | ||||
\(668\) | −20.2723 | − | 24.0246i | −0.784358 | − | 0.929539i | ||||
\(669\) | 2.34929 | + | 0.629489i | 0.0908286 | + | 0.0243375i | ||||
\(670\) | −2.01783 | − | 5.52024i | −0.0779557 | − | 0.213265i | ||||
\(671\) | 2.40122 | 0.0926982 | ||||||||
\(672\) | −8.61107 | − | 12.2413i | −0.332179 | − | 0.472218i | ||||
\(673\) | −28.5513 | −1.10057 | −0.550285 | − | 0.834977i | \(-0.685481\pi\) | ||||
−0.550285 | + | 0.834977i | \(0.685481\pi\) | |||||||
\(674\) | 13.4604 | + | 36.8240i | 0.518476 | + | 1.41841i | ||||
\(675\) | 4.02792 | + | 1.07928i | 0.155035 | + | 0.0415414i | ||||
\(676\) | 26.6077 | + | 31.5327i | 1.02337 | + | 1.21279i | ||||
\(677\) | −12.7667 | + | 3.42083i | −0.490664 | + | 0.131473i | −0.495664 | − | 0.868514i | \(-0.665075\pi\) |
0.00499978 | + | 0.999988i | \(0.498409\pi\) | |||||||
\(678\) | 1.98181 | + | 22.2978i | 0.0761109 | + | 0.856340i | ||||
\(679\) | −12.5227 | − | 15.0682i | −0.480577 | − | 0.578264i | ||||
\(680\) | −4.58728 | − | 16.8408i | −0.175914 | − | 0.645815i | ||||
\(681\) | 12.9119 | + | 7.45471i | 0.494786 | + | 0.285665i | ||||
\(682\) | 1.81252 | + | 2.58097i | 0.0694051 | + | 0.0988303i | ||||
\(683\) | 12.2955 | − | 45.8875i | 0.470475 | − | 1.75584i | −0.167593 | − | 0.985856i | \(-0.553599\pi\) |
0.638068 | − | 0.769980i | \(-0.279734\pi\) | |||||||
\(684\) | −4.58340 | − | 9.75872i | −0.175251 | − | 0.373134i | ||||
\(685\) | 0.151327 | − | 0.151327i | 0.00578192 | − | 0.00578192i | ||||
\(686\) | −19.8466 | − | 17.0913i | −0.757746 | − | 0.652550i | ||||
\(687\) | 4.35386 | 0.166110 | ||||||||
\(688\) | −8.06269 | + | 5.71214i | −0.307387 | + | 0.217773i | ||||
\(689\) | −11.6213 | − | 20.1286i | −0.442735 | − | 0.766840i | ||||
\(690\) | 1.26977 | − | 7.25981i | 0.0483394 | − | 0.276376i | ||||
\(691\) | 0.834633 | + | 3.11489i | 0.0317509 | + | 0.118496i | 0.979982 | − | 0.199084i | \(-0.0637965\pi\) |
−0.948232 | + | 0.317580i | \(0.897130\pi\) | |||||||
\(692\) | 15.5495 | + | 10.8240i | 0.591102 | + | 0.411468i | ||||
\(693\) | −0.647363 | − | 0.0597244i | −0.0245913 | − | 0.00226874i | ||||
\(694\) | −11.3397 | + | 1.00786i | −0.430448 | + | 0.0382579i | ||||
\(695\) | −5.97796 | − | 3.45138i | −0.226757 | − | 0.130918i | ||||
\(696\) | −0.123342 | 0.000510610i | −0.00467526 | 1.93546e-5i | ||||||
\(697\) | 27.5934 | − | 15.9311i | 1.04518 | − | 0.603432i | ||||
\(698\) | −29.0694 | − | 13.5065i | −1.10029 | − | 0.511227i | ||||
\(699\) | −8.56989 | − | 8.56989i | −0.324143 | − | 0.324143i | ||||
\(700\) | −20.7497 | + | 7.50600i | −0.784266 | + | 0.283700i | ||||
\(701\) | 10.4427 | − | 10.4427i | 0.394415 | − | 0.394415i | −0.481843 | − | 0.876258i | \(-0.660032\pi\) |
0.876258 | + | 0.481843i | \(0.160032\pi\) | |||||||
\(702\) | −2.81559 | − | 7.70267i | −0.106267 | − | 0.290719i | ||||
\(703\) | −12.0169 | − | 20.8140i | −0.453228 | − | 0.785013i | ||||
\(704\) | 1.89450 | − | 0.524478i | 0.0714015 | − | 0.0197670i | ||||
\(705\) | −3.63456 | + | 6.29524i | −0.136885 | + | 0.237093i | ||||
\(706\) | −22.5108 | + | 26.9026i | −0.847205 | + | 1.01249i | ||||
\(707\) | 5.02280 | − | 2.31330i | 0.188902 | − | 0.0870008i | ||||
\(708\) | 1.60420 | + | 8.95331i | 0.0602896 | + | 0.336486i | ||||
\(709\) | −24.5700 | + | 6.58352i | −0.922747 | + | 0.247249i | −0.688759 | − | 0.724990i | \(-0.741844\pi\) |
−0.233988 | + | 0.972240i | \(0.575178\pi\) | |||||||
\(710\) | 16.0485 | − | 11.2703i | 0.602289 | − | 0.422967i | ||||
\(711\) | 7.36841 | − | 4.25415i | 0.276337 | − | 0.159543i | ||||
\(712\) | −6.35255 | − | 10.8985i | −0.238072 | − | 0.408439i | ||||
\(713\) | − | 51.9159i | − | 1.94426i | ||||||
\(714\) | 24.4590 | + | 6.64169i | 0.915354 | + | 0.248559i | ||||
\(715\) | −0.917952 | − | 0.917952i | −0.0343295 | − | 0.0343295i | ||||
\(716\) | −31.1140 | + | 14.6134i | −1.16279 | + | 0.546128i | ||||
\(717\) | 3.34588 | + | 0.896526i | 0.124954 | + | 0.0334814i | ||||
\(718\) | 4.04764 | − | 23.1420i | 0.151057 | − | 0.863651i | ||||
\(719\) | 15.8217 | − | 27.4039i | 0.590048 | − | 1.02199i | −0.404177 | − | 0.914681i | \(-0.632442\pi\) |
0.994225 | − | 0.107313i | \(-0.0342246\pi\) | |||||||
\(720\) | −1.52183 | + | 3.31118i | −0.0567153 | + | 0.123400i | ||||
\(721\) | −0.450772 | − | 2.62913i | −0.0167876 | − | 0.0979140i | ||||
\(722\) | 10.9111 | + | 9.12990i | 0.406070 | + | 0.339780i | ||||
\(723\) | −1.45029 | − | 5.41255i | −0.0539368 | − | 0.201295i | ||||
\(724\) | −11.1521 | − | 0.944678i | −0.414465 | − | 0.0351087i | ||||
\(725\) | −0.0470655 | + | 0.175651i | −0.00174797 | + | 0.00652350i | ||||
\(726\) | −6.51896 | + | 14.0305i | −0.241941 | + | 0.520719i | ||||
\(727\) | − | 9.24889i | − | 0.343022i | −0.985182 | − | 0.171511i | \(-0.945135\pi\) | ||
0.985182 | − | 0.171511i | \(-0.0548650\pi\) | |||||||
\(728\) | 35.5335 | + | 24.9121i | 1.31696 | + | 0.923305i | ||||
\(729\) | 1.00000i | 0.0370370i | ||||||||
\(730\) | −6.15770 | − | 2.86104i | −0.227907 | − | 0.105892i | ||||
\(731\) | 4.33075 | − | 16.1626i | 0.160179 | − | 0.597795i | ||||
\(732\) | 12.6042 | + | 14.9372i | 0.465865 | + | 0.552094i | ||||
\(733\) | 2.93011 | + | 10.9353i | 0.108226 | + | 0.403906i | 0.998691 | − | 0.0511461i | \(-0.0162874\pi\) |
−0.890465 | + | 0.455052i | \(0.849621\pi\) | |||||||
\(734\) | −10.2142 | + | 12.2069i | −0.377012 | + | 0.450566i | ||||
\(735\) | −1.16678 | + | 6.26962i | −0.0430372 | + | 0.231259i | ||||
\(736\) | −30.4829 | − | 10.8573i | −1.12362 | − | 0.400205i | ||||
\(737\) | −0.560465 | + | 0.970754i | −0.0206450 | + | 0.0357582i | ||||
\(738\) | −6.55275 | − | 1.14611i | −0.241210 | − | 0.0421887i | ||||
\(739\) | 30.2212 | + | 8.09773i | 1.11170 | + | 0.297880i | 0.767522 | − | 0.641023i | \(-0.221490\pi\) |
0.344182 | + | 0.938903i | \(0.388156\pi\) | |||||||
\(740\) | −2.75732 | + | 7.64123i | −0.101361 | + | 0.280897i | ||||
\(741\) | 22.1051 | + | 22.1051i | 0.812050 | + | 0.812050i | ||||
\(742\) | −10.5685 | − | 10.6396i | −0.387982 | − | 0.390591i | ||||
\(743\) | 14.5158i | 0.532532i | 0.963900 | + | 0.266266i | \(0.0857900\pi\) | ||||
−0.963900 | + | 0.266266i | \(0.914210\pi\) | |||||||
\(744\) | −6.54122 | + | 24.8228i | −0.239813 | + | 0.910046i | ||||
\(745\) | −8.92974 | + | 5.15559i | −0.327160 | + | 0.188886i | ||||
\(746\) | −17.6308 | − | 25.1056i | −0.645510 | − | 0.919181i | ||||
\(747\) | −15.1627 | + | 4.06284i | −0.554775 | + | 0.148652i | ||||
\(748\) | −1.90181 | + | 2.73208i | −0.0695370 | + | 0.0998947i | ||||
\(749\) | −2.14519 | − | 1.51725i | −0.0783834 | − | 0.0554392i | ||||
\(750\) | 9.06103 | + | 7.58182i | 0.330862 | + | 0.276849i | ||||
\(751\) | −25.0676 | + | 43.4183i | −0.914729 | + | 1.58436i | −0.107431 | + | 0.994213i | \(0.534262\pi\) |
−0.807298 | + | 0.590144i | \(0.799071\pi\) | |||||||
\(752\) | 24.5618 | + | 20.3798i | 0.895675 | + | 0.743175i | ||||
\(753\) | −1.54838 | − | 2.68187i | −0.0564260 | − | 0.0977327i | ||||
\(754\) | 0.335900 | − | 0.122783i | 0.0122328 | − | 0.00447149i | ||||
\(755\) | 4.07828 | − | 4.07828i | 0.148424 | − | 0.148424i | ||||
\(756\) | −3.02653 | − | 4.34052i | −0.110074 | − | 0.157863i | ||||
\(757\) | 18.2019 | + | 18.2019i | 0.661559 | + | 0.661559i | 0.955747 | − | 0.294188i | \(-0.0950493\pi\) |
−0.294188 | + | 0.955747i | \(0.595049\pi\) | |||||||
\(758\) | −1.96974 | + | 4.23939i | −0.0715443 | + | 0.153982i | ||||
\(759\) | −1.21727 | + | 0.702791i | −0.0441841 | + | 0.0255097i | ||||
\(760\) | −0.0575049 | − | 13.8908i | −0.00208592 | − | 0.503871i | ||||
\(761\) | 28.0441 | + | 16.1913i | 1.01660 | + | 0.586933i | 0.913117 | − | 0.407698i | \(-0.133669\pi\) |
0.103481 | + | 0.994631i | \(0.467002\pi\) | |||||||
\(762\) | −1.16426 | − | 13.0993i | −0.0421766 | − | 0.474538i | ||||
\(763\) | 21.2418 | + | 46.1216i | 0.769005 | + | 1.66972i | ||||
\(764\) | −4.42386 | − | 24.6903i | −0.160049 | − | 0.893263i | ||||
\(765\) | −1.59719 | − | 5.96078i | −0.0577464 | − | 0.215513i | ||||
\(766\) | 11.8607 | + | 2.07448i | 0.428543 | + | 0.0749541i | ||||
\(767\) | −13.1870 | − | 22.8405i | −0.476153 | − | 0.824722i | ||||
\(768\) | 13.2069 | + | 9.03198i | 0.476565 | + | 0.325913i | ||||
\(769\) | −3.57122 | −0.128782 | −0.0643908 | − | 0.997925i | \(-0.520510\pi\) | ||||
−0.0643908 | + | 0.997925i | \(0.520510\pi\) | |||||||
\(770\) | −0.723981 | − | 0.421232i | −0.0260905 | − | 0.0151801i | ||||
\(771\) | −19.4459 | + | 19.4459i | −0.700328 | + | 0.700328i | ||||
\(772\) | −44.6396 | − | 16.1081i | −1.60661 | − | 0.579743i | ||||
\(773\) | −2.16206 | + | 8.06890i | −0.0777638 | + | 0.290218i | −0.993846 | − | 0.110773i | \(-0.964667\pi\) |
0.916082 | + | 0.400991i | \(0.131334\pi\) | |||||||
\(774\) | −2.85893 | + | 2.00773i | −0.102762 | + | 0.0721663i | ||||
\(775\) | 32.7756 | + | 18.9230i | 1.17734 | + | 0.679735i | ||||
\(776\) | 18.1824 | + | 10.3975i | 0.652709 | + | 0.373248i | ||||
\(777\) | −7.53932 | − | 9.07183i | −0.270472 | − | 0.325450i | ||||
\(778\) | 21.1664 | − | 1.88125i | 0.758851 | − | 0.0674461i | ||||
\(779\) | 24.4931 | − | 6.56291i | 0.877556 | − | 0.235141i | ||||
\(780\) | 0.891866 | − | 10.5287i | 0.0319339 | − | 0.376987i | ||||
\(781\) | −3.61261 | − | 0.967997i | −0.129269 | − | 0.0346377i | ||||
\(782\) | 51.4662 | − | 18.8126i | 1.84043 | − | 0.672738i | ||||
\(783\) | −0.0436083 | −0.00155843 | ||||||||
\(784\) | 26.2734 | + | 9.68022i | 0.938337 | + | 0.345722i | ||||
\(785\) | 3.05390 | 0.108998 | ||||||||
\(786\) | 13.5899 | − | 4.96758i | 0.484737 | − | 0.177188i | ||||
\(787\) | −5.41380 | − | 1.45062i | −0.192981 | − | 0.0517091i | 0.161034 | − | 0.986949i | \(-0.448517\pi\) |
−0.354015 | + | 0.935240i | \(0.615184\pi\) | |||||||
\(788\) | 0.462679 | + | 0.0391928i | 0.0164823 | + | 0.00139619i | ||||
\(789\) | 5.91665 | − | 1.58536i | 0.210638 | − | 0.0564404i | ||||
\(790\) | 10.9191 | − | 0.970480i | 0.388483 | − | 0.0345281i | ||||
\(791\) | −26.7677 | − | 32.2087i | −0.951749 | − | 1.14521i | ||||
\(792\) | 0.670567 | − | 0.182657i | 0.0238276 | − | 0.00649042i | ||||
\(793\) | −49.0776 | − | 28.3349i | −1.74280 | − | 1.00620i | ||||
\(794\) | −11.5937 | + | 8.14184i | −0.411444 | + | 0.288943i | ||||
\(795\) | −0.945055 | + | 3.52699i | −0.0335177 | + | 0.125090i | ||||
\(796\) | 4.59517 | − | 12.7344i | 0.162871 | − | 0.451357i | ||||
\(797\) | 15.2112 | − | 15.2112i | 0.538810 | − | 0.538810i | −0.384370 | − | 0.923179i | \(-0.625581\pi\) |
0.923179 | + | 0.384370i | \(0.125581\pi\) | |||||||
\(798\) | 17.4341 | + | 10.1436i | 0.617160 | + | 0.359080i | ||||
\(799\) | −54.0466 | −1.91203 | ||||||||
\(800\) | 17.9653 | − | 15.2871i | 0.635168 | − | 0.540481i | ||||
\(801\) | −2.23000 | − | 3.86247i | −0.0787931 | − | 0.136474i | ||||
\(802\) | 8.52782 | + | 1.49155i | 0.301128 | + | 0.0526686i | ||||
\(803\) | 0.335157 | + | 1.25082i | 0.0118274 | + | 0.0441405i | ||||
\(804\) | −8.98064 | + | 1.60910i | −0.316723 | + | 0.0567485i | ||||
\(805\) | 5.76789 | + | 12.5236i | 0.203291 | + | 0.441400i | ||||
\(806\) | −6.58946 | − | 74.1394i | −0.232104 | − | 2.61145i | ||||
\(807\) | −18.4432 | − | 10.6482i | −0.649231 | − | 0.374833i | ||||
\(808\) | −4.16288 | + | 4.19749i | −0.146450 | + | 0.147667i | ||||
\(809\) | −46.2165 | + | 26.6831i | −1.62489 | + | 0.938128i | −0.639299 | + | 0.768958i | \(0.720776\pi\) |
−0.985587 | + | 0.169170i | \(0.945891\pi\) | |||||||
\(810\) | −0.542891 | + | 1.16844i | −0.0190752 | + | 0.0410548i | ||||
\(811\) | −25.1259 | − | 25.1259i | −0.882291 | − | 0.882291i | 0.111477 | − | 0.993767i | \(-0.464442\pi\) |
−0.993767 | + | 0.111477i | \(0.964442\pi\) | |||||||
\(812\) | 0.189283 | − | 0.131982i | 0.00664252 | − | 0.00463165i | ||||
\(813\) | 4.34147 | − | 4.34147i | 0.152262 | − | 0.152262i | ||||
\(814\) | 1.45512 | − | 0.531894i | 0.0510018 | − | 0.0186429i | ||||
\(815\) | −3.63712 | − | 6.29967i | −0.127403 | − | 0.220668i | ||||
\(816\) | −26.9781 | + | 2.51040i | −0.944421 | + | 0.0878815i | ||||
\(817\) | 6.65828 | − | 11.5325i | 0.232944 | − | 0.403470i | ||||
\(818\) | −22.6222 | − | 18.9292i | −0.790967 | − | 0.661843i | ||||
\(819\) | 12.5264 | + | 8.85970i | 0.437708 | + | 0.309583i | ||||
\(820\) | −7.03429 | − | 4.89658i | −0.245648 | − | 0.170996i | ||||
\(821\) | −46.6659 | + | 12.5041i | −1.62865 | + | 0.436395i | −0.953526 | − | 0.301309i | \(-0.902576\pi\) |
−0.675124 | + | 0.737705i | \(0.735910\pi\) | |||||||
\(822\) | −0.190922 | − | 0.271866i | −0.00665917 | − | 0.00948241i | ||||
\(823\) | −28.6183 | + | 16.5228i | −0.997571 | + | 0.575948i | −0.907529 | − | 0.419990i | \(-0.862033\pi\) |
−0.0900421 | + | 0.995938i | \(0.528700\pi\) | |||||||
\(824\) | 1.43605 | + | 2.46370i | 0.0500271 | + | 0.0858270i | ||||
\(825\) | − | 1.02465i | − | 0.0356738i | ||||||
\(826\) | −11.9923 | − | 12.0730i | −0.417267 | − | 0.420073i | ||||
\(827\) | 26.8280 | + | 26.8280i | 0.932899 | + | 0.932899i | 0.997886 | − | 0.0649868i | \(-0.0207005\pi\) |
−0.0649868 | + | 0.997886i | \(0.520701\pi\) | |||||||
\(828\) | −10.7614 | − | 3.88321i | −0.373983 | − | 0.134951i | ||||
\(829\) | 6.21128 | + | 1.66431i | 0.215727 | + | 0.0578038i | 0.365064 | − | 0.930983i | \(-0.381047\pi\) |
−0.149337 | + | 0.988786i | \(0.547714\pi\) | |||||||
\(830\) | −19.9224 | − | 3.48452i | −0.691517 | − | 0.120949i | ||||
\(831\) | −14.5646 | + | 25.2266i | −0.505241 | + | 0.875103i | ||||
\(832\) | −44.9097 | − | 11.6359i | −1.55696 | − | 0.403401i | ||||
\(833\) | −44.7075 | + | 15.7948i | −1.54902 | + | 0.547256i | ||||
\(834\) | −6.87627 | + | 8.21782i | −0.238106 | + | 0.284560i | ||||
\(835\) | −3.70607 | − | 13.8312i | −0.128254 | − | 0.478650i | ||||
\(836\) | −2.02471 | + | 1.70848i | −0.0700260 | + | 0.0590889i | ||||
\(837\) | −2.34898 | + | 8.76652i | −0.0811927 | + | 0.303015i | ||||
\(838\) | 8.10404 | + | 3.76537i | 0.279949 | + | 0.130073i | ||||
\(839\) | 10.3142i | 0.356085i | 0.984023 | + | 0.178043i | \(0.0569765\pi\) | ||||
−0.984023 | + | 0.178043i | \(0.943024\pi\) | |||||||
\(840\) | −1.17989 | − | 6.71471i | −0.0407101 | − | 0.231680i | ||||
\(841\) | 28.9981i | 0.999934i | ||||||||
\(842\) | −0.434092 | + | 0.934278i | −0.0149598 | + | 0.0321973i | ||||
\(843\) | −0.656044 | + | 2.44839i | −0.0225953 | + | 0.0843270i | ||||
\(844\) | −2.15498 | + | 25.4400i | −0.0741776 | + | 0.875682i | ||||
\(845\) | 4.86427 | + | 18.1537i | 0.167336 | + | 0.624507i | ||||
\(846\) | 8.65399 | + | 7.24123i | 0.297530 | + | 0.248959i | ||||
\(847\) | −4.89108 | − | 28.5273i | −0.168059 | − | 0.980208i | ||||
\(848\) | 14.5670 | + | 6.69506i | 0.500233 | + | 0.229909i | ||||
\(849\) | 9.41619 | − | 16.3093i | 0.323163 | − | 0.559735i | ||||
\(850\) | −6.88228 | + | 39.3488i | −0.236060 | + | 1.34965i | ||||
\(851\) | −24.6341 | − | 6.60069i | −0.844446 | − | 0.226269i | ||||
\(852\) | −12.9413 | − | 27.5539i | −0.443362 | − | 0.943981i | ||||
\(853\) | 22.3537 | + | 22.3537i | 0.765378 | + | 0.765378i | 0.977289 | − | 0.211911i | \(-0.0679688\pi\) |
−0.211911 | + | 0.977289i | \(0.567969\pi\) | |||||||
\(854\) | −35.2865 | − | 9.58184i | −1.20748 | − | 0.327884i | ||||
\(855\) | − | 4.91117i | − | 0.167958i | ||||||
\(856\) | 2.71621 | + | 0.715769i | 0.0928383 | + | 0.0244645i | ||||
\(857\) | 43.4484 | − | 25.0850i | 1.48417 | − | 0.856886i | 0.484332 | − | 0.874884i | \(-0.339063\pi\) |
0.999838 | + | 0.0179986i | \(0.00572943\pi\) | |||||||
\(858\) | −1.64914 | + | 1.15814i | −0.0563007 | + | 0.0395381i | ||||
\(859\) | −55.3438 | + | 14.8293i | −1.88831 | + | 0.505970i | −0.889511 | + | 0.456913i | \(0.848955\pi\) |
−0.998796 | + | 0.0490574i | \(0.984378\pi\) | |||||||
\(860\) | −4.43046 | + | 0.793824i | −0.151078 | + | 0.0270692i | ||||
\(861\) | 11.3039 | − | 5.20614i | 0.385237 | − | 0.177425i | ||||
\(862\) | 32.4433 | − | 38.7729i | 1.10502 | − | 1.32061i | ||||
\(863\) | −0.534925 | + | 0.926517i | −0.0182091 | + | 0.0315390i | −0.874986 | − | 0.484148i | \(-0.839130\pi\) |
0.856777 | + | 0.515687i | \(0.172463\pi\) | |||||||
\(864\) | 4.65610 | + | 3.21259i | 0.158404 | + | 0.109295i | ||||
\(865\) | 4.31510 | + | 7.47398i | 0.146718 | + | 0.254123i | ||||
\(866\) | −10.7486 | − | 29.4052i | −0.365252 | − | 0.999229i | ||||
\(867\) | 20.4229 | − | 20.4229i | 0.693598 | − | 0.693598i | ||||
\(868\) | −16.3363 | − | 45.1605i | −0.554492 | − | 1.53285i | ||||
\(869\) | −1.47832 | − | 1.47832i | −0.0501484 | − | 0.0501484i | ||||
\(870\) | −0.0509537 | − | 0.0236745i | −0.00172749 | − | 0.000802642i | ||||
\(871\) | 22.9102 | − | 13.2272i | 0.776282 | − | 0.448187i | ||||
\(872\) | −38.5432 | − | 38.2254i | −1.30524 | − | 1.29448i | ||||
\(873\) | 6.41317 | + | 3.70264i | 0.217053 | + | 0.125316i | ||||
\(874\) | 43.4381 | − | 3.86075i | 1.46932 | − | 0.130592i | ||||
\(875\) | −22.0097 | − | 2.03057i | −0.744065 | − | 0.0686459i | ||||
\(876\) | −6.02167 | + | 8.65055i | −0.203453 | + | 0.292275i | ||||
\(877\) | 3.74714 | + | 13.9845i | 0.126532 | + | 0.472223i | 0.999890 | − | 0.0148561i | \(-0.00472900\pi\) |
−0.873358 | + | 0.487079i | \(0.838062\pi\) | |||||||
\(878\) | −3.00065 | + | 17.1559i | −0.101267 | + | 0.578985i | ||||
\(879\) | 6.69395 | + | 11.5943i | 0.225781 | + | 0.391064i | ||||
\(880\) | 0.882680 | + | 0.150622i | 0.0297551 | + | 0.00507745i | ||||
\(881\) | −48.5795 | −1.63669 | −0.818343 | − | 0.574730i | \(-0.805107\pi\) | ||||
−0.818343 | + | 0.574730i | \(0.805107\pi\) | |||||||
\(882\) | 9.27481 | + | 3.46090i | 0.312299 | + | 0.116535i | ||||
\(883\) | −7.27449 | + | 7.27449i | −0.244806 | + | 0.244806i | −0.818835 | − | 0.574029i | \(-0.805380\pi\) |
0.574029 | + | 0.818835i | \(0.305380\pi\) | |||||||
\(884\) | 71.1093 | − | 33.3981i | 2.39167 | − | 1.12330i | ||||
\(885\) | −1.07238 | + | 4.00217i | −0.0360476 | + | 0.134532i | ||||
\(886\) | 4.28857 | + | 6.10677i | 0.144077 | + | 0.205161i | ||||
\(887\) | 25.4229 | + | 14.6779i | 0.853616 | + | 0.492836i | 0.861869 | − | 0.507130i | \(-0.169294\pi\) |
−0.00825303 | + | 0.999966i | \(0.502627\pi\) | |||||||
\(888\) | 10.9467 | + | 6.25983i | 0.367349 | + | 0.210066i | ||||
\(889\) | 15.7253 | + | 18.9217i | 0.527408 | + | 0.634614i | ||||
\(890\) | −0.508719 | − | 5.72370i | −0.0170523 | − | 0.191859i | ||||
\(891\) | 0.237347 | − | 0.0635968i | 0.00795141 | − | 0.00213057i | ||||
\(892\) | 3.71764 | − | 3.13700i | 0.124476 | − | 0.105034i | ||||
\(893\) | −41.5467 | − | 11.1324i | −1.39031 | − | 0.372532i | ||||
\(894\) | 5.49517 | + | 15.0333i | 0.183786 | + | 0.502788i | ||||
\(895\) | −15.6584 | −0.523403 | ||||||||
\(896\) | −29.9329 | + | 0.147522i | −0.999988 | + | 0.00492838i | ||||
\(897\) | 33.1723 | 1.10759 | ||||||||
\(898\) | 12.4829 | + | 34.1498i | 0.416560 | + | 1.13959i | ||||
\(899\) | −0.382293 | − | 0.102435i | −0.0127502 | − | 0.00341640i | ||||
\(900\) | 6.37401 | − | 5.37847i | 0.212467 | − | 0.179282i | ||||
\(901\) | −26.2235 | + | 7.02657i | −0.873632 | + | 0.234089i | ||||
\(902\) | 0.144710 | + | 1.62816i | 0.00481832 | + | 0.0542119i | ||||
\(903\) | 2.26438 | − | 6.13092i | 0.0753538 | − | 0.204024i | ||||
\(904\) | 38.8654 | + | 22.2250i | 1.29264 | + | 0.739191i | ||||
\(905\) | −4.41517 | − | 2.54910i | −0.146765 | − | 0.0847349i | ||||
\(906\) | −5.14537 | − | 7.32681i | −0.170943 | − | 0.243417i | ||||
\(907\) | 0.692542 | − | 2.58460i | 0.0229955 | − | 0.0858203i | −0.953475 | − | 0.301474i | \(-0.902521\pi\) |
0.976470 | + | 0.215653i | \(0.0691881\pi\) | |||||||
\(908\) | 26.9902 | − | 12.6765i | 0.895700 | − | 0.420685i | ||||
\(909\) | −1.47793 | + | 1.47793i | −0.0490199 | + | 0.0490199i | ||||
\(910\) | 9.82651 | + | 17.1525i | 0.325746 | + | 0.568600i | ||||
\(911\) | 56.2699 | 1.86430 | 0.932152 | − | 0.362067i | \(-0.117929\pi\) | ||||
0.932152 | + | 0.362067i | \(0.117929\pi\) | |||||||
\(912\) | −21.2557 | − | 3.62710i | −0.703846 | − | 0.120105i | ||||
\(913\) | 1.92860 | + | 3.34044i | 0.0638274 | + | 0.110552i | ||||
\(914\) | 0.975496 | − | 5.57731i | 0.0322666 | − | 0.184481i | ||||
\(915\) | 2.30423 | + | 8.59951i | 0.0761756 | + | 0.284291i | ||||
\(916\) | 4.97484 | − | 7.14670i | 0.164373 | − | 0.236134i | ||||
\(917\) | −15.6313 | + | 22.1005i | −0.516191 | + | 0.729824i | ||||
\(918\) | −9.54177 | + | 0.848066i | −0.314925 | + | 0.0279904i | ||||
\(919\) | 20.0969 | + | 11.6029i | 0.662934 | + | 0.382745i | 0.793394 | − | 0.608708i | \(-0.208312\pi\) |
−0.130460 | + | 0.991454i | \(0.541645\pi\) | |||||||
\(920\) | −10.4658 | − | 10.3795i | −0.345048 | − | 0.342203i | ||||
\(921\) | −14.4846 | + | 8.36267i | −0.477283 | + | 0.275559i | ||||
\(922\) | −10.5334 | − | 4.89413i | −0.346899 | − | 0.161179i | ||||
\(923\) | 62.4141 | + | 62.4141i | 2.05438 | + | 2.05438i | ||||
\(924\) | −0.837730 | + | 0.994380i | −0.0275593 | + | 0.0327127i | ||||
\(925\) | 13.1461 | − | 13.1461i | 0.432242 | − | 0.432242i | ||||
\(926\) | −3.18812 | − | 8.72183i | −0.104768 | − | 0.286617i | ||||
\(927\) | 0.504109 | + | 0.873143i | 0.0165571 | + | 0.0286778i | ||||
\(928\) | −0.140096 | + | 0.203045i | −0.00459886 | + | 0.00666526i | ||||
\(929\) | 8.13123 | − | 14.0837i | 0.266777 | − | 0.462071i | −0.701251 | − | 0.712915i | \(-0.747375\pi\) |
0.968028 | + | 0.250843i | \(0.0807079\pi\) | |||||||
\(930\) | −7.50391 | + | 8.96791i | −0.246063 | + | 0.294069i | ||||
\(931\) | −37.6210 | + | 2.93300i | −1.23298 | + | 0.0961250i | ||||
\(932\) | −23.8593 | + | 4.27498i | −0.781539 | + | 0.140031i | ||||
\(933\) | −6.51969 | + | 1.74695i | −0.213445 | + | 0.0571924i | ||||
\(934\) | −25.1553 | + | 17.6657i | −0.823107 | + | 0.578040i | ||||
\(935\) | −1.31320 | + | 0.758174i | −0.0429461 | + | 0.0247949i | ||||
\(936\) | −15.8608 | − | 4.17960i | −0.518427 | − | 0.136614i | ||||
\(937\) | 27.3129i | 0.892272i | 0.894965 | + | 0.446136i | \(0.147200\pi\) | ||||
−0.894965 | + | 0.446136i | \(0.852800\pi\) | |||||||
\(938\) | 12.1098 | − | 12.0290i | 0.395400 | − | 0.392759i | ||||
\(939\) | 12.1113 | + | 12.1113i | 0.395237 | + | 0.395237i | ||||
\(940\) | 6.18047 | + | 13.1591i | 0.201585 | + | 0.429203i | ||||
\(941\) | 48.1992 | + | 12.9149i | 1.57125 | + | 0.421015i | 0.936203 | − | 0.351459i | \(-0.114314\pi\) |
0.635046 | + | 0.772474i | \(0.280981\pi\) | |||||||
\(942\) | 0.816754 | − | 4.66971i | 0.0266113 | − | 0.152147i | ||||
\(943\) | 13.4536 | − | 23.3023i | 0.438110 | − | 0.758828i | ||||
\(944\) | 16.5295 | + | 7.59706i | 0.537991 | + | 0.247263i | ||||
\(945\) | −0.407323 | − | 2.37572i | −0.0132502 | − | 0.0772820i | ||||
\(946\) | 0.658347 | + | 0.550872i | 0.0214047 | + | 0.0179104i | ||||
\(947\) | 2.92152 | + | 10.9033i | 0.0949366 | + | 0.354308i | 0.997010 | − | 0.0772748i | \(-0.0246219\pi\) |
−0.902073 | + | 0.431583i | \(0.857955\pi\) | |||||||
\(948\) | 1.43630 | − | 16.9559i | 0.0466490 | − | 0.550701i | ||||
\(949\) | 7.90984 | − | 29.5199i | 0.256764 | − | 0.958257i | ||||
\(950\) | −13.3956 | + | 28.8307i | −0.434609 | + | 0.935390i | ||||
\(951\) | − | 18.5479i | − | 0.601456i | ||||||
\(952\) | 38.8496 | − | 32.5595i | 1.25912 | − | 1.05526i | ||||
\(953\) | 9.33432i | 0.302368i | 0.988506 | + | 0.151184i | \(0.0483086\pi\) | ||||
−0.988506 | + | 0.151184i | \(0.951691\pi\) | |||||||
\(954\) | 5.14037 | + | 2.38836i | 0.166425 | + | 0.0773261i | ||||
\(955\) | 2.95727 | − | 11.0367i | 0.0956949 | − | 0.357138i | ||||
\(956\) | 5.29471 | − | 4.46775i | 0.171243 | − | 0.144497i | ||||
\(957\) | 0.00277335 | + | 0.0103503i | 8.96497e−5 | + | 0.000334577i | ||||
\(958\) | 5.17779 | − | 6.18798i | 0.167287 | − | 0.199924i | ||||
\(959\) | 0.583011 | + | 0.215328i | 0.0188264 | + | 0.00695330i | ||||
\(960\) | 3.69629 | + | 6.28147i | 0.119297 | + | 0.202734i | ||||
\(961\) | −25.6848 | + | 44.4874i | −0.828542 | + | 1.43508i | ||||
\(962\) | −36.0170 | − | 6.29953i | −1.16123 | − | 0.203105i | ||||
\(963\) | 0.959271 | + | 0.257036i | 0.0309121 | + | 0.00828287i | ||||
\(964\) | −10.5416 | − | 3.80393i | −0.339523 | − | 0.122516i | ||||
\(965\) | −15.2859 | − | 15.2859i | −0.492071 | − | 0.492071i | ||||
\(966\) | 20.6924 | − | 5.47027i | 0.665769 | − | 0.176003i | ||||
\(967\) | 27.1548i | 0.873240i | 0.899646 | + | 0.436620i | \(0.143825\pi\) | ||||
−0.899646 | + | 0.436620i | \(0.856175\pi\) | |||||||
\(968\) | 15.5818 | + | 26.7322i | 0.500817 | + | 0.859206i | ||||
\(969\) | 31.6229 | − | 18.2575i | 1.01587 | − | 0.586515i | ||||
\(970\) | 5.48327 | + | 7.80796i | 0.176057 | + | 0.250699i | ||||
\(971\) | −16.5921 | + | 4.44585i | −0.532467 | + | 0.142674i | −0.515027 | − | 0.857174i | \(-0.672218\pi\) |
−0.0174399 | + | 0.999848i | \(0.505552\pi\) | |||||||
\(972\) | 1.64146 | + | 1.14263i | 0.0526500 | + | 0.0366498i | ||||
\(973\) | 1.84161 | − | 19.9615i | 0.0590394 | − | 0.639938i | ||||
\(974\) | 41.2973 | + | 34.5555i | 1.32325 | + | 1.10723i | ||||
\(975\) | −12.0911 | + | 20.9424i | −0.387225 | + | 0.670694i | ||||
\(976\) | 38.9207 | − | 3.62171i | 1.24582 | − | 0.115928i | ||||
\(977\) | 18.4730 | + | 31.9961i | 0.591003 | + | 1.02365i | 0.994098 | + | 0.108489i | \(0.0346012\pi\) |
−0.403095 | + | 0.915158i | \(0.632065\pi\) | |||||||
\(978\) | −10.6055 | + | 3.87668i | −0.339128 | + | 0.123963i | ||||
\(979\) | −0.774923 | + | 0.774923i | −0.0247666 | + | 0.0247666i | ||||
\(980\) | 8.95817 | + | 9.07906i | 0.286158 | + | 0.290020i | ||||
\(981\) | −13.5710 | − | 13.5710i | −0.433290 | − | 0.433290i | ||||
\(982\) | 4.07158 | − | 8.76309i | 0.129929 | − | 0.279641i | ||||
\(983\) | −10.2069 | + | 5.89298i | −0.325551 | + | 0.187957i | −0.653864 | − | 0.756612i | \(-0.726853\pi\) |
0.328313 | + | 0.944569i | \(0.393520\pi\) | |||||||
\(984\) | −9.36864 | + | 9.44654i | −0.298661 | + | 0.301145i | ||||
\(985\) | 0.183177 | + | 0.105757i | 0.00583649 | + | 0.00336970i | ||||
\(986\) | −0.0369827 | − | 0.416100i | −0.00117777 | − | 0.0132513i | ||||
\(987\) | −21.0210 | − | 1.93936i | −0.669107 | − | 0.0617304i | ||||
\(988\) | 61.5425 | − | 11.0268i | 1.95793 | − | 0.350810i | ||||
\(989\) | −3.65727 | − | 13.6491i | −0.116294 | − | 0.434017i | ||||
\(990\) | 0.311851 | + | 0.0545442i | 0.00991129 | + | 0.00173353i | ||||
\(991\) | 8.72751 | + | 15.1165i | 0.277238 | + | 0.480191i | 0.970697 | − | 0.240305i | \(-0.0772475\pi\) |
−0.693459 | + | 0.720496i | \(0.743914\pi\) | |||||||
\(992\) | 33.2715 | + | 39.1003i | 1.05637 | + | 1.24144i | ||||
\(993\) | 25.7556 | 0.817331 | ||||||||
\(994\) | 49.2254 | + | 28.6407i | 1.56134 | + | 0.908428i | ||||
\(995\) | 4.36062 | − | 4.36062i | 0.138241 | − | 0.138241i | ||||
\(996\) | −10.6563 | + | 29.5314i | −0.337659 | + | 0.935737i | ||||
\(997\) | 12.7338 | − | 47.5230i | 0.403282 | − | 1.50507i | −0.403920 | − | 0.914794i | \(-0.632353\pi\) |
0.807202 | − | 0.590275i | \(-0.200981\pi\) | |||||||
\(998\) | −29.3184 | + | 20.5893i | −0.928056 | + | 0.651742i | ||||
\(999\) | 3.86106 | + | 2.22919i | 0.122159 | + | 0.0705283i |
(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 | 336.2.bq.b.37.12 | ✓ | 120 | |
7.4 | even | 3 | inner | 336.2.bq.b.277.30 | yes | 120 | |
16.13 | even | 4 | inner | 336.2.bq.b.205.30 | yes | 120 | |
112.109 | even | 12 | inner | 336.2.bq.b.109.12 | yes | 120 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
336.2.bq.b.37.12 | ✓ | 120 | 1.1 | even | 1 | trivial | |
336.2.bq.b.109.12 | yes | 120 | 112.109 | even | 12 | inner | |
336.2.bq.b.205.30 | yes | 120 | 16.13 | even | 4 | inner | |
336.2.bq.b.277.30 | yes | 120 | 7.4 | even | 3 | inner |