Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [546,2,Mod(317,546)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(546, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 4, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("546.317");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 546.bv (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: | \(4.35983195036\) |
Analytic rank: | \(0\) |
Dimension: | \(144\) |
Relative dimension: | \(36\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 317.17 | ||
Character | \(\chi\) | \(=\) | 546.317 |
Dual form | 546.2.bv.a.515.17 |
$q$-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 \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).
\(n\) | \(157\) | \(365\) | \(379\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(-1\) | \(e\left(\frac{3}{4}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.965926 | + | 0.258819i | −0.683013 | + | 0.183013i | ||||
\(3\) | 1.69438 | − | 0.359266i | 0.978251 | − | 0.207422i | ||||
\(4\) | 0.866025 | − | 0.500000i | 0.433013 | − | 0.250000i | ||||
\(5\) | −3.75102 | + | 1.00508i | −1.67751 | + | 0.449487i | −0.967120 | − | 0.254322i | \(-0.918148\pi\) |
−0.710389 | + | 0.703809i | \(0.751481\pi\) | |||||||
\(6\) | −1.54366 | + | 0.785563i | −0.630197 | + | 0.320705i | ||||
\(7\) | 1.18204 | − | 2.36702i | 0.446771 | − | 0.894648i | ||||
\(8\) | −0.707107 | + | 0.707107i | −0.250000 | + | 0.250000i | ||||
\(9\) | 2.74186 | − | 1.21747i | 0.913952 | − | 0.405823i | ||||
\(10\) | 3.36308 | − | 1.94167i | 1.06350 | − | 0.614011i | ||||
\(11\) | 1.60373 | + | 0.429718i | 0.483543 | + | 0.129565i | 0.492352 | − | 0.870396i | \(-0.336137\pi\) |
−0.00880890 | + | 0.999961i | \(0.502804\pi\) | |||||||
\(12\) | 1.28774 | − | 1.15832i | 0.371740 | − | 0.334379i | ||||
\(13\) | −2.02005 | − | 2.98654i | −0.560260 | − | 0.828317i | ||||
\(14\) | −0.529138 | + | 2.59230i | −0.141418 | + | 0.692821i | ||||
\(15\) | −5.99457 | + | 3.05061i | −1.54779 | + | 0.787664i | ||||
\(16\) | 0.500000 | − | 0.866025i | 0.125000 | − | 0.216506i | ||||
\(17\) | −0.0575760 | − | 0.0997246i | −0.0139642 | − | 0.0241868i | 0.858959 | − | 0.512045i | \(-0.171112\pi\) |
−0.872923 | + | 0.487858i | \(0.837778\pi\) | |||||||
\(18\) | −2.33333 | + | 1.88563i | −0.549970 | + | 0.444447i | ||||
\(19\) | −0.398277 | − | 1.48639i | −0.0913709 | − | 0.341001i | 0.905073 | − | 0.425255i | \(-0.139816\pi\) |
−0.996444 | + | 0.0842546i | \(0.973149\pi\) | |||||||
\(20\) | −2.74594 | + | 2.74594i | −0.614011 | + | 0.614011i | ||||
\(21\) | 1.15244 | − | 4.43530i | 0.251484 | − | 0.967861i | ||||
\(22\) | −1.66030 | −0.353978 | ||||||||
\(23\) | 3.63473 | − | 6.29553i | 0.757893 | − | 1.31271i | −0.186030 | − | 0.982544i | \(-0.559562\pi\) |
0.943923 | − | 0.330165i | \(-0.107104\pi\) | |||||||
\(24\) | −0.944069 | + | 1.45215i | −0.192707 | + | 0.296418i | ||||
\(25\) | 8.72986 | − | 5.04019i | 1.74597 | − | 1.00804i | ||||
\(26\) | 2.72419 | + | 2.36195i | 0.534257 | + | 0.463216i | ||||
\(27\) | 4.20835 | − | 3.04791i | 0.809898 | − | 0.586571i | ||||
\(28\) | −0.159828 | − | 2.64092i | −0.0302047 | − | 0.499087i | ||||
\(29\) | − | 4.96875i | − | 0.922674i | −0.887225 | − | 0.461337i | \(-0.847370\pi\) | ||
0.887225 | − | 0.461337i | \(-0.152630\pi\) | |||||||
\(30\) | 5.00075 | − | 4.49817i | 0.913009 | − | 0.821250i | ||||
\(31\) | −0.532053 | − | 0.142563i | −0.0955595 | − | 0.0256051i | 0.210722 | − | 0.977546i | \(-0.432418\pi\) |
−0.306282 | + | 0.951941i | \(0.599085\pi\) | |||||||
\(32\) | −0.258819 | + | 0.965926i | −0.0457532 | + | 0.170753i | ||||
\(33\) | 2.87171 | + | 0.151940i | 0.499901 | + | 0.0264494i | ||||
\(34\) | 0.0814248 | + | 0.0814248i | 0.0139642 | + | 0.0139642i | ||||
\(35\) | −2.05483 | + | 10.0668i | −0.347329 | + | 1.70160i | ||||
\(36\) | 1.76578 | − | 2.42529i | 0.294297 | − | 0.404214i | ||||
\(37\) | 3.30353 | − | 0.885179i | 0.543097 | − | 0.145522i | 0.0231677 | − | 0.999732i | \(-0.492625\pi\) |
0.519930 | + | 0.854209i | \(0.325958\pi\) | |||||||
\(38\) | 0.769411 | + | 1.33266i | 0.124815 | + | 0.216186i | ||||
\(39\) | −4.49569 | − | 4.33460i | −0.719887 | − | 0.694091i | ||||
\(40\) | 1.94167 | − | 3.36308i | 0.307005 | − | 0.531749i | ||||
\(41\) | −7.86460 | − | 7.86460i | −1.22824 | − | 1.22824i | −0.964627 | − | 0.263617i | \(-0.915084\pi\) |
−0.263617 | − | 0.964627i | \(-0.584916\pi\) | |||||||
\(42\) | 0.0347642 | + | 4.58244i | 0.00536423 | + | 0.707086i | ||||
\(43\) | 11.3975i | 1.73811i | 0.494716 | + | 0.869054i | \(0.335272\pi\) | ||||
−0.494716 | + | 0.869054i | \(0.664728\pi\) | |||||||
\(44\) | 1.60373 | − | 0.429718i | 0.241771 | − | 0.0647825i | ||||
\(45\) | −9.06111 | + | 7.32255i | −1.35075 | + | 1.09158i | ||||
\(46\) | −1.88147 | + | 7.02175i | −0.277408 | + | 1.03530i | ||||
\(47\) | 0.604808 | + | 2.25717i | 0.0882203 | + | 0.329243i | 0.995905 | − | 0.0904113i | \(-0.0288181\pi\) |
−0.907684 | + | 0.419654i | \(0.862151\pi\) | |||||||
\(48\) | 0.536057 | − | 1.64701i | 0.0773731 | − | 0.237725i | ||||
\(49\) | −4.20554 | − | 5.59584i | −0.600792 | − | 0.799406i | ||||
\(50\) | −7.12790 | + | 7.12790i | −1.00804 | + | 1.00804i | ||||
\(51\) | −0.133383 | − | 0.148286i | −0.0186774 | − | 0.0207642i | ||||
\(52\) | −3.24268 | − | 1.57639i | −0.449679 | − | 0.218606i | ||||
\(53\) | 3.26558 | − | 1.88538i | 0.448562 | − | 0.258977i | −0.258661 | − | 0.965968i | \(-0.583281\pi\) |
0.707223 | + | 0.706991i | \(0.249948\pi\) | |||||||
\(54\) | −3.27610 | + | 4.03326i | −0.445821 | + | 0.548857i | ||||
\(55\) | −6.44753 | −0.869385 | ||||||||
\(56\) | 0.837902 | + | 2.50957i | 0.111969 | + | 0.335355i | ||||
\(57\) | −1.20884 | − | 2.37542i | −0.160115 | − | 0.314632i | ||||
\(58\) | 1.28601 | + | 4.79945i | 0.168861 | + | 0.630198i | ||||
\(59\) | 5.02522 | + | 1.34650i | 0.654228 | + | 0.175300i | 0.570640 | − | 0.821201i | \(-0.306695\pi\) |
0.0835881 | + | 0.996500i | \(0.473362\pi\) | |||||||
\(60\) | −3.66615 | + | 5.63919i | −0.473297 | + | 0.728017i | ||||
\(61\) | 2.22068 | − | 3.84633i | 0.284329 | − | 0.492472i | −0.688118 | − | 0.725599i | \(-0.741563\pi\) |
0.972446 | + | 0.233128i | \(0.0748960\pi\) | |||||||
\(62\) | 0.550821 | 0.0699544 | ||||||||
\(63\) | 0.359226 | − | 7.92912i | 0.0452583 | − | 0.998975i | ||||
\(64\) | − | 1.00000i | − | 0.125000i | ||||||
\(65\) | 10.5790 | + | 9.17226i | 1.31216 | + | 1.13768i | ||||
\(66\) | −2.81319 | + | 0.596491i | −0.346280 | + | 0.0734230i | ||||
\(67\) | 9.47855 | + | 2.53977i | 1.15799 | + | 0.310282i | 0.786162 | − | 0.618020i | \(-0.212065\pi\) |
0.371827 | + | 0.928302i | \(0.378732\pi\) | |||||||
\(68\) | −0.0997246 | − | 0.0575760i | −0.0120934 | − | 0.00698212i | ||||
\(69\) | 3.89684 | − | 11.9729i | 0.469124 | − | 1.44136i | ||||
\(70\) | −0.620668 | − | 10.2556i | −0.0741841 | − | 1.22578i | ||||
\(71\) | −7.46475 | − | 7.46475i | −0.885903 | − | 0.885903i | 0.108223 | − | 0.994127i | \(-0.465484\pi\) |
−0.994127 | + | 0.108223i | \(0.965484\pi\) | |||||||
\(72\) | −1.07790 | + | 2.79966i | −0.127032 | + | 0.329944i | ||||
\(73\) | −1.57016 | + | 5.85991i | −0.183773 | + | 0.685851i | 0.811117 | + | 0.584885i | \(0.198860\pi\) |
−0.994890 | + | 0.100967i | \(0.967806\pi\) | |||||||
\(74\) | −2.96187 | + | 1.71003i | −0.344310 | + | 0.198787i | ||||
\(75\) | 12.9809 | − | 11.6763i | 1.49891 | − | 1.34827i | ||||
\(76\) | −1.08811 | − | 1.08811i | −0.124815 | − | 0.124815i | ||||
\(77\) | 2.91283 | − | 3.28811i | 0.331948 | − | 0.374715i | ||||
\(78\) | 5.46438 | + | 3.02333i | 0.618719 | + | 0.342325i | ||||
\(79\) | −7.63053 | + | 13.2165i | −0.858501 | + | 1.48697i | 0.0148570 | + | 0.999890i | \(0.495271\pi\) |
−0.873358 | + | 0.487078i | \(0.838063\pi\) | |||||||
\(80\) | −1.00508 | + | 3.75102i | −0.112372 | + | 0.419377i | ||||
\(81\) | 6.03554 | − | 6.67624i | 0.670616 | − | 0.741805i | ||||
\(82\) | 9.63213 | + | 5.56111i | 1.06369 | + | 0.614122i | ||||
\(83\) | 3.41557 | + | 3.41557i | 0.374908 | + | 0.374908i | 0.869261 | − | 0.494353i | \(-0.164595\pi\) |
−0.494353 | + | 0.869261i | \(0.664595\pi\) | |||||||
\(84\) | −1.21960 | − | 4.41730i | −0.133070 | − | 0.481967i | ||||
\(85\) | 0.316201 | + | 0.316201i | 0.0342968 | + | 0.0342968i | ||||
\(86\) | −2.94990 | − | 11.0092i | −0.318096 | − | 1.18715i | ||||
\(87\) | −1.78511 | − | 8.41896i | −0.191383 | − | 0.902608i | ||||
\(88\) | −1.43787 | + | 0.830152i | −0.153277 | + | 0.0884945i | ||||
\(89\) | 0.0126633 | + | 0.0472602i | 0.00134231 | + | 0.00500957i | 0.966594 | − | 0.256313i | \(-0.0825079\pi\) |
−0.965251 | + | 0.261323i | \(0.915841\pi\) | |||||||
\(90\) | 6.85714 | − | 9.41822i | 0.722806 | − | 0.992768i | ||||
\(91\) | −9.45697 | + | 1.25127i | −0.991360 | + | 0.131168i | ||||
\(92\) | − | 7.26945i | − | 0.757893i | ||||||
\(93\) | −0.952718 | − | 0.0504076i | −0.0987923 | − | 0.00522703i | ||||
\(94\) | −1.16840 | − | 2.02373i | −0.120511 | − | 0.208731i | ||||
\(95\) | 2.98789 | + | 5.17518i | 0.306551 | + | 0.530962i | ||||
\(96\) | −0.0915135 | + | 1.72963i | −0.00934006 | + | 0.176530i | ||||
\(97\) | −4.27601 | + | 4.27601i | −0.434163 | + | 0.434163i | −0.890042 | − | 0.455879i | \(-0.849325\pi\) |
0.455879 | + | 0.890042i | \(0.349325\pi\) | |||||||
\(98\) | 5.51055 | + | 4.31669i | 0.556650 | + | 0.436052i | ||||
\(99\) | 4.92037 | − | 0.774265i | 0.494515 | − | 0.0778166i | ||||
\(100\) | 5.04019 | − | 8.72986i | 0.504019 | − | 0.872986i | ||||
\(101\) | 4.86905 | + | 8.43344i | 0.484489 | + | 0.839159i | 0.999841 | − | 0.0178194i | \(-0.00567239\pi\) |
−0.515353 | + | 0.856978i | \(0.672339\pi\) | |||||||
\(102\) | 0.167218 | + | 0.108711i | 0.0165570 | + | 0.0107640i | ||||
\(103\) | −14.7567 | − | 8.51979i | −1.45402 | − | 0.839480i | −0.455316 | − | 0.890330i | \(-0.650474\pi\) |
−0.998706 | + | 0.0508501i | \(0.983807\pi\) | |||||||
\(104\) | 3.54019 | + | 0.683412i | 0.347144 | + | 0.0670140i | ||||
\(105\) | 0.135001 | + | 17.7952i | 0.0131748 | + | 1.73663i | ||||
\(106\) | −2.66633 | + | 2.66633i | −0.258977 | + | 0.258977i | ||||
\(107\) | −2.59138 | − | 1.49613i | −0.250518 | − | 0.144637i | 0.369483 | − | 0.929237i | \(-0.379535\pi\) |
−0.620001 | + | 0.784601i | \(0.712868\pi\) | |||||||
\(108\) | 2.12058 | − | 4.74375i | 0.204053 | − | 0.456467i | ||||
\(109\) | 8.33469 | + | 2.23327i | 0.798319 | + | 0.213909i | 0.634846 | − | 0.772639i | \(-0.281064\pi\) |
0.163473 | + | 0.986548i | \(0.447730\pi\) | |||||||
\(110\) | 6.22784 | − | 1.66874i | 0.593801 | − | 0.159109i | ||||
\(111\) | 5.27943 | − | 2.68668i | 0.501101 | − | 0.255008i | ||||
\(112\) | −1.45888 | − | 2.20719i | −0.137851 | − | 0.208560i | ||||
\(113\) | 7.28013i | 0.684857i | 0.939544 | + | 0.342429i | \(0.111250\pi\) | ||||
−0.939544 | + | 0.342429i | \(0.888750\pi\) | |||||||
\(114\) | 1.78246 | + | 1.98161i | 0.166942 | + | 0.185595i | ||||
\(115\) | −7.30641 | + | 27.2679i | −0.681326 | + | 2.54274i | ||||
\(116\) | −2.48438 | − | 4.30307i | −0.230669 | − | 0.399530i | ||||
\(117\) | −9.17469 | − | 5.72931i | −0.848201 | − | 0.529675i | ||||
\(118\) | −5.20249 | −0.478928 | ||||||||
\(119\) | −0.304107 | + | 0.0184045i | −0.0278775 | + | 0.00168714i | ||||
\(120\) | 2.08169 | − | 6.39591i | 0.190032 | − | 0.583864i | ||||
\(121\) | −7.13899 | − | 4.12170i | −0.648999 | − | 0.374700i | ||||
\(122\) | −1.14951 | + | 4.29002i | −0.104071 | + | 0.388400i | ||||
\(123\) | −16.1511 | − | 10.5001i | −1.45630 | − | 0.946767i | ||||
\(124\) | −0.532053 | + | 0.142563i | −0.0477797 | + | 0.0128025i | ||||
\(125\) | −13.9504 | + | 13.9504i | −1.24776 | + | 1.24776i | ||||
\(126\) | 1.70522 | + | 7.75192i | 0.151913 | + | 0.690596i | ||||
\(127\) | 1.68233i | 0.149283i | 0.997210 | + | 0.0746414i | \(0.0237812\pi\) | ||||
−0.997210 | + | 0.0746414i | \(0.976219\pi\) | |||||||
\(128\) | 0.258819 | + | 0.965926i | 0.0228766 | + | 0.0853766i | ||||
\(129\) | 4.09475 | + | 19.3118i | 0.360523 | + | 1.70031i | ||||
\(130\) | −12.5925 | − | 6.12168i | −1.10443 | − | 0.536907i | ||||
\(131\) | 14.6267 | + | 8.44474i | 1.27794 | + | 0.737820i | 0.976470 | − | 0.215654i | \(-0.0691885\pi\) |
0.301473 | + | 0.953475i | \(0.402522\pi\) | |||||||
\(132\) | 2.56295 | − | 1.30427i | 0.223076 | − | 0.113522i | ||||
\(133\) | −3.98909 | − | 0.814249i | −0.345898 | − | 0.0706044i | ||||
\(134\) | −9.81292 | −0.847707 | ||||||||
\(135\) | −12.7222 | + | 15.6625i | −1.09495 | + | 1.34802i | ||||
\(136\) | 0.111228 | + | 0.0298035i | 0.00953775 | + | 0.00255563i | ||||
\(137\) | 6.54788 | + | 1.75450i | 0.559423 | + | 0.149897i | 0.527441 | − | 0.849591i | \(-0.323151\pi\) |
0.0319820 | + | 0.999488i | \(0.489818\pi\) | |||||||
\(138\) | −0.665253 | + | 12.5735i | −0.0566301 | + | 1.07033i | ||||
\(139\) | 16.4394 | 1.39437 | 0.697185 | − | 0.716891i | \(-0.254435\pi\) | ||||
0.697185 | + | 0.716891i | \(0.254435\pi\) | |||||||
\(140\) | 3.25386 | + | 9.74551i | 0.275002 | + | 0.823646i | ||||
\(141\) | 1.83570 | + | 3.60723i | 0.154594 | + | 0.303783i | ||||
\(142\) | 9.14242 | + | 5.27838i | 0.767215 | + | 0.442952i | ||||
\(143\) | −1.95624 | − | 5.65765i | −0.163589 | − | 0.473117i | ||||
\(144\) | 0.316569 | − | 2.98325i | 0.0263808 | − | 0.248604i | ||||
\(145\) | 4.99401 | + | 18.6379i | 0.414730 | + | 1.54779i | ||||
\(146\) | − | 6.06663i | − | 0.502078i | ||||||
\(147\) | −9.13619 | − | 7.97057i | −0.753540 | − | 0.657402i | ||||
\(148\) | 2.41835 | − | 2.41835i | 0.198787 | − | 0.198787i | ||||
\(149\) | −21.4408 | + | 5.74506i | −1.75650 | + | 0.470653i | −0.985995 | − | 0.166778i | \(-0.946664\pi\) |
−0.770507 | + | 0.637431i | \(0.779997\pi\) | |||||||
\(150\) | −9.51656 | + | 14.6382i | −0.777024 | + | 1.19520i | ||||
\(151\) | 5.02891 | − | 18.7681i | 0.409247 | − | 1.52733i | −0.386840 | − | 0.922147i | \(-0.626433\pi\) |
0.796087 | − | 0.605183i | \(-0.206900\pi\) | |||||||
\(152\) | 1.33266 | + | 0.769411i | 0.108093 | + | 0.0624075i | ||||
\(153\) | −0.279277 | − | 0.203333i | −0.0225782 | − | 0.0164385i | ||||
\(154\) | −1.96255 | + | 3.92997i | −0.158147 | + | 0.316686i | ||||
\(155\) | 2.13903 | 0.171811 | ||||||||
\(156\) | −6.06068 | − | 1.50603i | −0.485243 | − | 0.120579i | ||||
\(157\) | 2.55645 | + | 4.42790i | 0.204027 | + | 0.353385i | 0.949822 | − | 0.312790i | \(-0.101264\pi\) |
−0.745795 | + | 0.666175i | \(0.767930\pi\) | |||||||
\(158\) | 3.94985 | − | 14.7410i | 0.314233 | − | 1.17273i | ||||
\(159\) | 4.85578 | − | 4.36777i | 0.385089 | − | 0.346387i | ||||
\(160\) | − | 3.88335i | − | 0.307005i | ||||||
\(161\) | −10.6052 | − | 16.0451i | −0.835809 | − | 1.26453i | ||||
\(162\) | −4.10195 | + | 8.01087i | −0.322279 | + | 0.629393i | ||||
\(163\) | −1.46907 | + | 0.393636i | −0.115066 | + | 0.0308319i | −0.315893 | − | 0.948795i | \(-0.602304\pi\) |
0.200826 | + | 0.979627i | \(0.435637\pi\) | |||||||
\(164\) | −10.7432 | − | 2.87864i | −0.838907 | − | 0.224784i | ||||
\(165\) | −10.9246 | + | 2.31638i | −0.850477 | + | 0.180330i | ||||
\(166\) | −4.18320 | − | 2.41517i | −0.324680 | − | 0.187454i | ||||
\(167\) | −9.95271 | + | 9.95271i | −0.770164 | + | 0.770164i | −0.978135 | − | 0.207971i | \(-0.933314\pi\) |
0.207971 | + | 0.978135i | \(0.433314\pi\) | |||||||
\(168\) | 2.32133 | + | 3.95113i | 0.179094 | + | 0.304836i | ||||
\(169\) | −4.83882 | + | 12.0659i | −0.372217 | + | 0.928146i | ||||
\(170\) | −0.387265 | − | 0.223588i | −0.0297019 | − | 0.0171484i | ||||
\(171\) | −2.90165 | − | 3.59057i | −0.221894 | − | 0.274578i | ||||
\(172\) | 5.69877 | + | 9.87056i | 0.434527 | + | 0.752623i | ||||
\(173\) | −9.91681 | + | 17.1764i | −0.753961 | + | 1.30590i | 0.191928 | + | 0.981409i | \(0.438526\pi\) |
−0.945889 | + | 0.324490i | \(0.894807\pi\) | |||||||
\(174\) | 3.90327 | + | 7.67007i | 0.295906 | + | 0.581467i | ||||
\(175\) | −1.61113 | − | 26.6214i | −0.121790 | − | 2.01239i | ||||
\(176\) | 1.17401 | − | 1.17401i | 0.0884945 | − | 0.0884945i | ||||
\(177\) | 8.99839 | + | 0.476098i | 0.676360 | + | 0.0357857i | ||||
\(178\) | −0.0244637 | − | 0.0423724i | −0.00183363 | − | 0.00317594i | ||||
\(179\) | 0.337604 | + | 0.584747i | 0.0252337 | + | 0.0437060i | 0.878366 | − | 0.477988i | \(-0.158634\pi\) |
−0.853133 | + | 0.521694i | \(0.825300\pi\) | |||||||
\(180\) | −4.18588 | + | 10.8721i | −0.311997 | + | 0.810356i | ||||
\(181\) | − | 0.00682105i | − | 0.000507004i | −1.00000 | 0.000253502i | \(-0.999919\pi\) | |||
1.00000 | 0.000253502i | \(-8.06922e-5\pi\) | ||||||||
\(182\) | 8.81088 | − | 3.65628i | 0.653106 | − | 0.271021i | ||||
\(183\) | 2.38082 | − | 7.31496i | 0.175995 | − | 0.540737i | ||||
\(184\) | 1.88147 | + | 7.02175i | 0.138704 | + | 0.517650i | ||||
\(185\) | −11.5019 | + | 6.64065i | −0.845640 | + | 0.488231i | ||||
\(186\) | 0.933301 | − | 0.197892i | 0.0684330 | − | 0.0145101i | ||||
\(187\) | −0.0494829 | − | 0.184673i | −0.00361855 | − | 0.0135046i | ||||
\(188\) | 1.65237 | + | 1.65237i | 0.120511 | + | 0.120511i | ||||
\(189\) | −2.24000 | − | 13.5640i | −0.162936 | − | 0.986637i | ||||
\(190\) | −4.22551 | − | 4.22551i | −0.306551 | − | 0.306551i | ||||
\(191\) | 2.69000 | + | 1.55307i | 0.194642 | + | 0.112376i | 0.594154 | − | 0.804352i | \(-0.297487\pi\) |
−0.399512 | + | 0.916728i | \(0.630820\pi\) | |||||||
\(192\) | −0.359266 | − | 1.69438i | −0.0259278 | − | 0.122281i | ||||
\(193\) | −4.51043 | + | 16.8332i | −0.324668 | + | 1.21168i | 0.589977 | + | 0.807420i | \(0.299137\pi\) |
−0.914645 | + | 0.404257i | \(0.867530\pi\) | |||||||
\(194\) | 3.02359 | − | 5.23702i | 0.217081 | − | 0.375996i | ||||
\(195\) | 21.2201 | + | 11.7406i | 1.51960 | + | 0.840764i | ||||
\(196\) | −6.44003 | − | 2.74337i | −0.460002 | − | 0.195955i | ||||
\(197\) | 13.2890 | + | 13.2890i | 0.946804 | + | 0.946804i | 0.998655 | − | 0.0518509i | \(-0.0165121\pi\) |
−0.0518509 | + | 0.998655i | \(0.516512\pi\) | |||||||
\(198\) | −4.55231 | + | 2.02137i | −0.323519 | + | 0.143652i | ||||
\(199\) | 0.842978 | − | 0.486694i | 0.0597571 | − | 0.0345008i | −0.469824 | − | 0.882760i | \(-0.655683\pi\) |
0.529581 | + | 0.848259i | \(0.322349\pi\) | |||||||
\(200\) | −2.60899 | + | 9.73689i | −0.184484 | + | 0.688502i | ||||
\(201\) | 16.9727 | + | 0.898015i | 1.19716 | + | 0.0633411i | ||||
\(202\) | −6.88588 | − | 6.88588i | −0.484489 | − | 0.484489i | ||||
\(203\) | −11.7611 | − | 5.87329i | −0.825469 | − | 0.412224i | ||||
\(204\) | −0.189657 | − | 0.0617280i | −0.0132786 | − | 0.00432183i | ||||
\(205\) | 37.4049 | + | 21.5957i | 2.61247 | + | 1.50831i | ||||
\(206\) | 16.4590 | + | 4.41017i | 1.14675 | + | 0.307271i | ||||
\(207\) | 2.30129 | − | 21.6866i | 0.159950 | − | 1.50732i | ||||
\(208\) | −3.59644 | + | 0.256144i | −0.249368 | + | 0.0177604i | ||||
\(209\) | − | 2.55491i | − | 0.176727i | ||||||
\(210\) | −4.73614 | − | 17.1539i | −0.326825 | − | 1.18373i | ||||
\(211\) | −10.4146 | −0.716968 | −0.358484 | − | 0.933536i | \(-0.616706\pi\) | ||||
−0.358484 | + | 0.933536i | \(0.616706\pi\) | |||||||
\(212\) | 1.88538 | − | 3.26558i | 0.129489 | − | 0.224281i | ||||
\(213\) | −15.3300 | − | 9.96631i | −1.05039 | − | 0.682880i | ||||
\(214\) | 2.89031 | + | 0.774455i | 0.197577 | + | 0.0529407i | ||||
\(215\) | −11.4555 | − | 42.7525i | −0.781258 | − | 2.91569i | ||||
\(216\) | −0.820556 | + | 5.13095i | −0.0558318 | + | 0.349117i | ||||
\(217\) | −0.966359 | + | 1.09086i | −0.0656007 | + | 0.0740525i | ||||
\(218\) | −8.62871 | −0.584410 | ||||||||
\(219\) | −0.555179 | + | 10.4930i | −0.0375155 | + | 0.709054i | ||||
\(220\) | −5.58373 | + | 3.22377i | −0.376455 | + | 0.217346i | ||||
\(221\) | −0.181525 | + | 0.373401i | −0.0122107 | + | 0.0251177i | ||||
\(222\) | −4.40417 | + | 3.96155i | −0.295589 | + | 0.265882i | ||||
\(223\) | 17.8540 | − | 17.8540i | 1.19559 | − | 1.19559i | 0.220119 | − | 0.975473i | \(-0.429355\pi\) |
0.975473 | − | 0.220119i | \(-0.0706446\pi\) | |||||||
\(224\) | 1.98043 | + | 1.75440i | 0.132323 | + | 0.117221i | ||||
\(225\) | 17.7997 | − | 24.4478i | 1.18665 | − | 1.62985i | ||||
\(226\) | −1.88424 | − | 7.03207i | −0.125338 | − | 0.467766i | ||||
\(227\) | 1.11378 | − | 4.15669i | 0.0739244 | − | 0.275890i | −0.919063 | − | 0.394111i | \(-0.871053\pi\) |
0.992987 | + | 0.118221i | \(0.0377192\pi\) | |||||||
\(228\) | −2.23460 | − | 1.45275i | −0.147990 | − | 0.0962110i | ||||
\(229\) | 6.48375 | − | 1.73732i | 0.428458 | − | 0.114805i | −0.0381441 | − | 0.999272i | \(-0.512145\pi\) |
0.466602 | + | 0.884467i | \(0.345478\pi\) | |||||||
\(230\) | − | 28.2298i | − | 1.86142i | ||||||
\(231\) | 3.75414 | − | 6.61780i | 0.247004 | − | 0.435419i | ||||
\(232\) | 3.51344 | + | 3.51344i | 0.230669 | + | 0.230669i | ||||
\(233\) | 12.6485 | − | 21.9079i | 0.828632 | − | 1.43523i | −0.0704803 | − | 0.997513i | \(-0.522453\pi\) |
0.899112 | − | 0.437719i | \(-0.144213\pi\) | |||||||
\(234\) | 10.3449 | + | 3.15950i | 0.676269 | + | 0.206543i | ||||
\(235\) | −4.53730 | − | 7.85883i | −0.295981 | − | 0.512653i | ||||
\(236\) | 5.02522 | − | 1.34650i | 0.327114 | − | 0.0876499i | ||||
\(237\) | −8.18079 | + | 25.1351i | −0.531400 | + | 1.63270i | ||||
\(238\) | 0.288982 | − | 0.0964862i | 0.0187319 | − | 0.00625427i | ||||
\(239\) | 18.6250 | + | 18.6250i | 1.20475 | + | 1.20475i | 0.972706 | + | 0.232043i | \(0.0745410\pi\) |
0.232043 | + | 0.972706i | \(0.425459\pi\) | |||||||
\(240\) | −0.355379 | + | 6.71676i | −0.0229396 | + | 0.433565i | ||||
\(241\) | 3.37308 | − | 12.5885i | 0.217279 | − | 0.810897i | −0.768072 | − | 0.640363i | \(-0.778784\pi\) |
0.985352 | − | 0.170534i | \(-0.0545494\pi\) | |||||||
\(242\) | 7.96250 | + | 2.13355i | 0.511849 | + | 0.137150i | ||||
\(243\) | 7.82796 | − | 13.4805i | 0.502164 | − | 0.864772i | ||||
\(244\) | − | 4.44135i | − | 0.284329i | ||||||
\(245\) | 21.3994 | + | 16.7632i | 1.36716 | + | 1.07096i | ||||
\(246\) | 18.3184 | + | 5.96215i | 1.16794 | + | 0.380133i | ||||
\(247\) | −3.63462 | + | 4.19204i | −0.231265 | + | 0.266733i | ||||
\(248\) | 0.477025 | − | 0.275411i | 0.0302911 | − | 0.0174886i | ||||
\(249\) | 7.01438 | + | 4.56018i | 0.444518 | + | 0.288990i | ||||
\(250\) | 9.86442 | − | 17.0857i | 0.623881 | − | 1.08059i | ||||
\(251\) | −0.347306 | −0.0219218 | −0.0109609 | − | 0.999940i | \(-0.503489\pi\) | ||||
−0.0109609 | + | 0.999940i | \(0.503489\pi\) | |||||||
\(252\) | −3.65346 | − | 7.04643i | −0.230146 | − | 0.443884i | ||||
\(253\) | 8.53443 | − | 8.53443i | 0.536555 | − | 0.536555i | ||||
\(254\) | −0.435419 | − | 1.62501i | −0.0273206 | − | 0.101962i | ||||
\(255\) | 0.649364 | + | 0.422164i | 0.0406648 | + | 0.0264369i | ||||
\(256\) | −0.500000 | − | 0.866025i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | 2.48837 | − | 4.30998i | 0.155220 | − | 0.268849i | −0.777919 | − | 0.628365i | \(-0.783725\pi\) |
0.933139 | + | 0.359515i | \(0.117058\pi\) | |||||||
\(258\) | −8.95348 | − | 17.5939i | −0.557420 | − | 1.09535i | ||||
\(259\) | 1.80969 | − | 8.86584i | 0.112449 | − | 0.550896i | ||||
\(260\) | 13.7478 | + | 2.65392i | 0.852601 | + | 0.164589i | ||||
\(261\) | −6.04930 | − | 13.6236i | −0.374442 | − | 0.843280i | ||||
\(262\) | −16.3140 | − | 4.37132i | −1.00788 | − | 0.270061i | ||||
\(263\) | 20.7522 | − | 11.9813i | 1.27964 | − | 0.738798i | 0.302854 | − | 0.953037i | \(-0.402061\pi\) |
0.976781 | + | 0.214239i | \(0.0687272\pi\) | |||||||
\(264\) | −2.13805 | + | 1.92317i | −0.131588 | + | 0.118363i | ||||
\(265\) | −10.3543 | + | 10.3543i | −0.636059 | + | 0.636059i | ||||
\(266\) | 4.06391 | − | 0.245947i | 0.249174 | − | 0.0150800i | ||||
\(267\) | 0.0384355 | + | 0.0755273i | 0.00235222 | + | 0.00462220i | ||||
\(268\) | 9.47855 | − | 2.53977i | 0.578995 | − | 0.155141i | ||||
\(269\) | −13.6301 | + | 7.86934i | −0.831042 | + | 0.479802i | −0.854209 | − | 0.519929i | \(-0.825958\pi\) |
0.0231673 | + | 0.999732i | \(0.492625\pi\) | |||||||
\(270\) | 8.23496 | − | 18.4216i | 0.501164 | − | 1.12110i | ||||
\(271\) | −9.18902 | + | 2.46219i | −0.558193 | + | 0.149567i | −0.526876 | − | 0.849942i | \(-0.676637\pi\) |
−0.0313170 | + | 0.999510i | \(0.509970\pi\) | |||||||
\(272\) | −0.115152 | −0.00698212 | ||||||||
\(273\) | −15.5742 | + | 5.51770i | −0.942592 | + | 0.333946i | ||||
\(274\) | −6.77887 | −0.409526 | ||||||||
\(275\) | 16.1662 | − | 4.33172i | 0.974859 | − | 0.261213i | ||||
\(276\) | −2.61167 | − | 12.3172i | −0.157204 | − | 0.741410i | ||||
\(277\) | −18.5644 | + | 10.7181i | −1.11542 | + | 0.643991i | −0.940229 | − | 0.340543i | \(-0.889389\pi\) |
−0.175196 | + | 0.984534i | \(0.556056\pi\) | |||||||
\(278\) | −15.8792 | + | 4.25483i | −0.952373 | + | 0.255188i | ||||
\(279\) | −1.63238 | + | 0.256870i | −0.0977279 | + | 0.0153784i | ||||
\(280\) | −5.66532 | − | 8.57128i | −0.338567 | − | 0.512232i | ||||
\(281\) | 13.9815 | − | 13.9815i | 0.834065 | − | 0.834065i | −0.154005 | − | 0.988070i | \(-0.549217\pi\) |
0.988070 | + | 0.154005i | \(0.0492172\pi\) | |||||||
\(282\) | −2.70677 | − | 3.00920i | −0.161186 | − | 0.179195i | ||||
\(283\) | 1.56318 | − | 0.902500i | 0.0929212 | − | 0.0536481i | −0.452819 | − | 0.891602i | \(-0.649582\pi\) |
0.545741 | + | 0.837954i | \(0.316248\pi\) | |||||||
\(284\) | −10.1970 | − | 2.73229i | −0.605083 | − | 0.162132i | ||||
\(285\) | 6.92189 | + | 7.69527i | 0.410017 | + | 0.455829i | ||||
\(286\) | 3.35389 | + | 4.95856i | 0.198320 | + | 0.293206i | ||||
\(287\) | −27.9120 | + | 9.31934i | −1.64759 | + | 0.550103i | ||||
\(288\) | 0.466340 | + | 2.96353i | 0.0274793 | + | 0.174628i | ||||
\(289\) | 8.49337 | − | 14.7109i | 0.499610 | − | 0.865350i | ||||
\(290\) | −9.64769 | − | 16.7103i | −0.566532 | − | 0.981262i | ||||
\(291\) | −5.70896 | + | 8.78141i | −0.334665 | + | 0.514775i | ||||
\(292\) | 1.57016 | + | 5.85991i | 0.0918866 | + | 0.342926i | ||||
\(293\) | 17.9914 | − | 17.9914i | 1.05107 | − | 1.05107i | 0.0524444 | − | 0.998624i | \(-0.483299\pi\) |
0.998624 | − | 0.0524444i | \(-0.0167012\pi\) | |||||||
\(294\) | 10.8878 | + | 5.33436i | 0.634990 | + | 0.311106i | ||||
\(295\) | −20.2031 | −1.17627 | ||||||||
\(296\) | −1.71003 | + | 2.96187i | −0.0993937 | + | 0.172155i | ||||
\(297\) | 8.05881 | − | 3.07962i | 0.467619 | − | 0.178698i | ||||
\(298\) | 19.2233 | − | 11.0986i | 1.11358 | − | 0.642924i | ||||
\(299\) | −26.1442 | + | 1.86202i | −1.51196 | + | 0.107684i | ||||
\(300\) | 5.40365 | − | 16.6025i | 0.311980 | − | 0.958544i | ||||
\(301\) | 26.9782 | + | 13.4724i | 1.55500 | + | 0.776536i | ||||
\(302\) | 19.4302i | 1.11808i | ||||||||
\(303\) | 11.2799 | + | 12.5402i | 0.648012 | + | 0.720414i | ||||
\(304\) | −1.48639 | − | 0.398277i | −0.0852502 | − | 0.0228427i | ||||
\(305\) | −4.46393 | + | 16.6596i | −0.255604 | + | 0.953927i | ||||
\(306\) | 0.322387 | + | 0.124123i | 0.0184296 | + | 0.00709563i | ||||
\(307\) | −4.04476 | − | 4.04476i | −0.230847 | − | 0.230847i | 0.582199 | − | 0.813046i | \(-0.302192\pi\) |
−0.813046 | + | 0.582199i | \(0.802192\pi\) | |||||||
\(308\) | 0.878530 | − | 4.30400i | 0.0500589 | − | 0.245243i | ||||
\(309\) | −28.0644 | − | 9.13419i | −1.59653 | − | 0.519626i | ||||
\(310\) | −2.06614 | + | 0.553622i | −0.117349 | + | 0.0314436i | ||||
\(311\) | −12.2673 | − | 21.2476i | −0.695617 | − | 1.20484i | −0.969972 | − | 0.243215i | \(-0.921798\pi\) |
0.274356 | − | 0.961628i | \(-0.411535\pi\) | |||||||
\(312\) | 6.24396 | − | 0.113911i | 0.353495 | − | 0.00644894i | ||||
\(313\) | −6.33079 | + | 10.9653i | −0.357837 | + | 0.619793i | −0.987599 | − | 0.156996i | \(-0.949819\pi\) |
0.629762 | + | 0.776788i | \(0.283152\pi\) | |||||||
\(314\) | −3.61536 | − | 3.61536i | −0.204027 | − | 0.204027i | ||||
\(315\) | 6.62196 | + | 30.1034i | 0.373105 | + | 1.69613i | ||||
\(316\) | 15.2611i | 0.858501i | ||||||||
\(317\) | 23.7864 | − | 6.37354i | 1.33598 | − | 0.357974i | 0.481037 | − | 0.876701i | \(-0.340260\pi\) |
0.854940 | + | 0.518727i | \(0.173594\pi\) | |||||||
\(318\) | −3.55986 | + | 5.47571i | −0.199627 | + | 0.307063i | ||||
\(319\) | 2.13516 | − | 7.96854i | 0.119546 | − | 0.446153i | ||||
\(320\) | 1.00508 | + | 3.75102i | 0.0561859 | + | 0.209689i | ||||
\(321\) | −4.92829 | − | 1.60402i | −0.275070 | − | 0.0895279i | ||||
\(322\) | 14.3966 | + | 12.7535i | 0.802293 | + | 0.710725i | ||||
\(323\) | −0.125298 | + | 0.125298i | −0.00697178 | + | 0.00697178i | ||||
\(324\) | 1.88881 | − | 8.79957i | 0.104934 | − | 0.488865i | ||||
\(325\) | −32.6874 | − | 15.8906i | −1.81317 | − | 0.881454i | ||||
\(326\) | 1.31713 | − | 0.760446i | 0.0729491 | − | 0.0421172i | ||||
\(327\) | 14.9245 | + | 0.789644i | 0.825326 | + | 0.0436674i | ||||
\(328\) | 11.1222 | 0.614122 | ||||||||
\(329\) | 6.05768 | + | 1.23649i | 0.333971 | + | 0.0681698i | ||||
\(330\) | 9.95281 | − | 5.06494i | 0.547884 | − | 0.278816i | ||||
\(331\) | −3.59268 | − | 13.4081i | −0.197472 | − | 0.736975i | −0.991613 | − | 0.129242i | \(-0.958746\pi\) |
0.794141 | − | 0.607733i | \(-0.207921\pi\) | |||||||
\(332\) | 4.66576 | + | 1.25019i | 0.256067 | + | 0.0686129i | ||||
\(333\) | 7.98013 | − | 6.44898i | 0.437308 | − | 0.353402i | ||||
\(334\) | 7.03763 | − | 12.1895i | 0.385082 | − | 0.666981i | ||||
\(335\) | −38.1069 | −2.08200 | ||||||||
\(336\) | −3.26486 | − | 3.21570i | −0.178113 | − | 0.175431i | ||||
\(337\) | 31.7316i | 1.72853i | 0.503037 | + | 0.864265i | \(0.332216\pi\) | ||||
−0.503037 | + | 0.864265i | \(0.667784\pi\) | |||||||
\(338\) | 1.55105 | − | 12.9071i | 0.0843662 | − | 0.702056i | ||||
\(339\) | 2.61551 | + | 12.3353i | 0.142055 | + | 0.669963i | ||||
\(340\) | 0.431938 | + | 0.115737i | 0.0234251 | + | 0.00627674i | ||||
\(341\) | −0.792007 | − | 0.457265i | −0.0428896 | − | 0.0247623i | ||||
\(342\) | 3.73208 | + | 2.71723i | 0.201808 | + | 0.146931i | ||||
\(343\) | −18.2166 | + | 3.34006i | −0.983603 | + | 0.180346i | ||||
\(344\) | −8.05928 | − | 8.05928i | −0.434527 | − | 0.434527i | ||||
\(345\) | −2.58341 | + | 48.8271i | −0.139086 | + | 2.62877i | ||||
\(346\) | 5.13332 | − | 19.1578i | 0.275969 | − | 1.02993i | ||||
\(347\) | −17.3715 | + | 10.0295i | −0.932553 | + | 0.538410i | −0.887618 | − | 0.460580i | \(-0.847641\pi\) |
−0.0449347 | + | 0.998990i | \(0.514308\pi\) | |||||||
\(348\) | −5.75543 | − | 6.39848i | −0.308523 | − | 0.342995i | ||||
\(349\) | 7.87668 | + | 7.87668i | 0.421629 | + | 0.421629i | 0.885764 | − | 0.464135i | \(-0.153635\pi\) |
−0.464135 | + | 0.885764i | \(0.653635\pi\) | |||||||
\(350\) | 8.44637 | + | 25.2974i | 0.451477 | + | 1.35220i | ||||
\(351\) | −17.6038 | − | 6.41148i | −0.939620 | − | 0.342219i | ||||
\(352\) | −0.830152 | + | 1.43787i | −0.0442473 | + | 0.0766385i | ||||
\(353\) | −1.74028 | + | 6.49482i | −0.0926258 | + | 0.345684i | −0.996649 | − | 0.0817996i | \(-0.973933\pi\) |
0.904023 | + | 0.427484i | \(0.140600\pi\) | |||||||
\(354\) | −8.81500 | + | 1.86908i | −0.468512 | + | 0.0993404i | ||||
\(355\) | 35.5032 | + | 20.4978i | 1.88431 | + | 1.08791i | ||||
\(356\) | 0.0345969 | + | 0.0345969i | 0.00183363 | + | 0.00183363i | ||||
\(357\) | −0.508661 | + | 0.140440i | −0.0269212 | + | 0.00743286i | ||||
\(358\) | −0.477444 | − | 0.477444i | −0.0252337 | − | 0.0252337i | ||||
\(359\) | −3.05190 | − | 11.3898i | −0.161073 | − | 0.601133i | −0.998508 | − | 0.0545965i | \(-0.982613\pi\) |
0.837435 | − | 0.546536i | \(-0.184054\pi\) | |||||||
\(360\) | 1.22935 | − | 11.5850i | 0.0647923 | − | 0.610583i | ||||
\(361\) | 14.4038 | − | 8.31601i | 0.758092 | − | 0.437685i | ||||
\(362\) | 0.00176542 | + | 0.00658862i | 9.27882e−5 | + | 0.000346290i | ||||
\(363\) | −13.5769 | − | 4.41893i | −0.712605 | − | 0.231933i | ||||
\(364\) | −7.56434 | + | 5.81212i | −0.396479 | + | 0.304638i | ||||
\(365\) | − | 23.5588i | − | 1.23312i | ||||||
\(366\) | −0.406444 | + | 7.68191i | −0.0212452 | + | 0.401540i | ||||
\(367\) | 9.53041 | + | 16.5072i | 0.497483 | + | 0.861666i | 0.999996 | − | 0.00290350i | \(-0.000924215\pi\) |
−0.502512 | + | 0.864570i | \(0.667591\pi\) | |||||||
\(368\) | −3.63473 | − | 6.29553i | −0.189473 | − | 0.328177i | ||||
\(369\) | −31.1385 | − | 11.9887i | −1.62101 | − | 0.624107i | ||||
\(370\) | 9.39130 | − | 9.39130i | 0.488231 | − | 0.488231i | ||||
\(371\) | −0.602675 | − | 9.95829i | −0.0312893 | − | 0.517009i | ||||
\(372\) | −0.850282 | + | 0.432705i | −0.0440851 | + | 0.0224347i | ||||
\(373\) | 6.65563 | − | 11.5279i | 0.344615 | − | 0.596891i | −0.640668 | − | 0.767818i | \(-0.721343\pi\) |
0.985284 | + | 0.170926i | \(0.0546760\pi\) | |||||||
\(374\) | 0.0955937 | + | 0.165573i | 0.00494303 | + | 0.00856158i | ||||
\(375\) | −18.6254 | + | 28.6492i | −0.961811 | + | 1.47944i | ||||
\(376\) | −2.02373 | − | 1.16840i | −0.104366 | − | 0.0602556i | ||||
\(377\) | −14.8394 | + | 10.0371i | −0.764266 | + | 0.516938i | ||||
\(378\) | 5.67430 | + | 12.5221i | 0.291854 | + | 0.644066i | ||||
\(379\) | 23.5222 | − | 23.5222i | 1.20825 | − | 1.20825i | 0.236660 | − | 0.971592i | \(-0.423947\pi\) |
0.971592 | − | 0.236660i | \(-0.0760528\pi\) | |||||||
\(380\) | 5.17518 | + | 2.98789i | 0.265481 | + | 0.153275i | ||||
\(381\) | 0.604405 | + | 2.85051i | 0.0309646 | + | 0.146036i | ||||
\(382\) | −3.00031 | − | 0.803930i | −0.153509 | − | 0.0411326i | ||||
\(383\) | 7.92419 | − | 2.12328i | 0.404907 | − | 0.108495i | −0.0506167 | − | 0.998718i | \(-0.516119\pi\) |
0.455524 | + | 0.890224i | \(0.349452\pi\) | |||||||
\(384\) | 0.785563 | + | 1.54366i | 0.0400881 | + | 0.0787747i | ||||
\(385\) | −7.62127 | + | 15.2614i | −0.388416 | + | 0.777794i | ||||
\(386\) | − | 17.4270i | − | 0.887009i | ||||||
\(387\) | 13.8761 | + | 31.2504i | 0.705364 | + | 1.58855i | ||||
\(388\) | −1.56513 | + | 5.84113i | −0.0794573 | + | 0.296539i | ||||
\(389\) | 14.1756 | + | 24.5528i | 0.718729 | + | 1.24488i | 0.961504 | + | 0.274792i | \(0.0886091\pi\) |
−0.242775 | + | 0.970083i | \(0.578058\pi\) | |||||||
\(390\) | −23.5357 | − | 5.84842i | −1.19178 | − | 0.296146i | ||||
\(391\) | −0.837092 | −0.0423336 | ||||||||
\(392\) | 6.93062 | + | 0.983088i | 0.350049 | + | 0.0496534i | ||||
\(393\) | 27.8172 | + | 9.05372i | 1.40319 | + | 0.456700i | ||||
\(394\) | −16.2757 | − | 9.39676i | −0.819956 | − | 0.473402i | ||||
\(395\) | 15.3386 | − | 57.2446i | 0.771771 | − | 2.88029i | ||||
\(396\) | 3.87403 | − | 3.13072i | 0.194677 | − | 0.157324i | ||||
\(397\) | −28.5371 | + | 7.64650i | −1.43224 | + | 0.383767i | −0.889808 | − | 0.456334i | \(-0.849162\pi\) |
−0.542429 | + | 0.840101i | \(0.682495\pi\) | |||||||
\(398\) | −0.688289 | + | 0.688289i | −0.0345008 | + | 0.0345008i | ||||
\(399\) | −7.05157 | + | 0.0534959i | −0.353020 | + | 0.00267815i | ||||
\(400\) | − | 10.0804i | − | 0.504019i | ||||||
\(401\) | −3.39116 | − | 12.6560i | −0.169346 | − | 0.632009i | −0.997446 | − | 0.0714277i | \(-0.977244\pi\) |
0.828100 | − | 0.560581i | \(-0.189422\pi\) | |||||||
\(402\) | −16.6268 | + | 3.52545i | −0.829270 | + | 0.175833i | ||||
\(403\) | 0.649002 | + | 1.87698i | 0.0323291 | + | 0.0934990i | ||||
\(404\) | 8.43344 | + | 4.86905i | 0.419579 | + | 0.242244i | ||||
\(405\) | −15.9293 | + | 31.1090i | −0.791532 | + | 1.54582i | ||||
\(406\) | 12.8805 | + | 2.62916i | 0.639248 | + | 0.130483i | ||||
\(407\) | 5.67835 | 0.281466 | ||||||||
\(408\) | 0.199171 | + | 0.0105380i | 0.00986041 | + | 0.000521707i | ||||
\(409\) | 11.1414 | + | 2.98534i | 0.550909 | + | 0.147616i | 0.523526 | − | 0.852009i | \(-0.324616\pi\) |
0.0273824 | + | 0.999625i | \(0.491283\pi\) | |||||||
\(410\) | −41.7197 | − | 11.1788i | −2.06039 | − | 0.552080i | ||||
\(411\) | 11.7249 | + | 0.620358i | 0.578349 | + | 0.0306000i | ||||
\(412\) | −17.0396 | −0.839480 | ||||||||
\(413\) | 9.12723 | − | 10.3032i | 0.449122 | − | 0.506985i | ||||
\(414\) | 3.39003 | + | 21.5433i | 0.166611 | + | 1.05879i | ||||
\(415\) | −16.2448 | − | 9.37895i | −0.797427 | − | 0.460395i | ||||
\(416\) | 3.40760 | − | 1.17824i | 0.167071 | − | 0.0577681i | ||||
\(417\) | 27.8546 | − | 5.90612i | 1.36405 | − | 0.289224i | ||||
\(418\) | 0.661260 | + | 2.46786i | 0.0323433 | + | 0.120707i | ||||
\(419\) | 5.02683i | 0.245577i | 0.992433 | + | 0.122788i | \(0.0391836\pi\) | ||||
−0.992433 | + | 0.122788i | \(0.960816\pi\) | |||||||
\(420\) | 9.01452 | + | 15.3436i | 0.439864 | + | 0.748691i | ||||
\(421\) | 16.5897 | − | 16.5897i | 0.808531 | − | 0.808531i | −0.175880 | − | 0.984412i | \(-0.556277\pi\) |
0.984412 | + | 0.175880i | \(0.0562771\pi\) | |||||||
\(422\) | 10.0597 | − | 2.69549i | 0.489699 | − | 0.131214i | ||||
\(423\) | 4.40633 | + | 5.45251i | 0.214243 | + | 0.265110i | ||||
\(424\) | −0.975946 | + | 3.64228i | −0.0473961 | + | 0.176885i | ||||
\(425\) | −1.00526 | − | 0.580388i | −0.0487623 | − | 0.0281529i | ||||
\(426\) | 17.3871 | + | 5.65902i | 0.842407 | + | 0.274181i | ||||
\(427\) | −6.47938 | − | 9.80291i | −0.313559 | − | 0.474396i | ||||
\(428\) | −2.99227 | −0.144637 | ||||||||
\(429\) | −5.34722 | − | 8.88341i | −0.258166 | − | 0.428895i | ||||
\(430\) | 22.1303 | + | 38.3308i | 1.06722 | + | 1.84848i | ||||
\(431\) | −4.15728 | + | 15.5152i | −0.200249 | + | 0.747339i | 0.790596 | + | 0.612338i | \(0.209771\pi\) |
−0.990845 | + | 0.135002i | \(0.956896\pi\) | |||||||
\(432\) | −0.535392 | − | 5.16850i | −0.0257591 | − | 0.248669i | ||||
\(433\) | − | 26.7031i | − | 1.28327i | −0.767010 | − | 0.641635i | \(-0.778256\pi\) | ||
0.767010 | − | 0.641635i | \(-0.221744\pi\) | |||||||
\(434\) | 0.651095 | − | 1.30380i | 0.0312536 | − | 0.0625846i | ||||
\(435\) | 15.1577 | + | 29.7855i | 0.726758 | + | 1.42811i | ||||
\(436\) | 8.33469 | − | 2.23327i | 0.399159 | − | 0.106954i | ||||
\(437\) | −10.8052 | − | 2.89525i | −0.516884 | − | 0.138499i | ||||
\(438\) | −2.17954 | − | 10.2792i | −0.104142 | − | 0.491158i | ||||
\(439\) | −0.927098 | − | 0.535260i | −0.0442480 | − | 0.0255466i | 0.477713 | − | 0.878516i | \(-0.341466\pi\) |
−0.521961 | + | 0.852969i | \(0.674799\pi\) | |||||||
\(440\) | 4.55910 | − | 4.55910i | 0.217346 | − | 0.217346i | ||||
\(441\) | −18.3437 | − | 10.2229i | −0.873512 | − | 0.486803i | ||||
\(442\) | 0.0786962 | − | 0.407660i | 0.00374320 | − | 0.0193904i | ||||
\(443\) | 17.3480 | + | 10.0159i | 0.824227 | + | 0.475868i | 0.851872 | − | 0.523750i | \(-0.175467\pi\) |
−0.0276451 | + | 0.999618i | \(0.508801\pi\) | |||||||
\(444\) | 3.22878 | − | 4.96645i | 0.153231 | − | 0.235697i | ||||
\(445\) | −0.0950010 | − | 0.164546i | −0.00450348 | − | 0.00780025i | ||||
\(446\) | −12.6247 | + | 21.8666i | −0.597796 | + | 1.03541i | ||||
\(447\) | −34.2649 | + | 17.4373i | −1.62068 | + | 0.824755i | ||||
\(448\) | −2.36702 | − | 1.18204i | −0.111831 | − | 0.0558463i | ||||
\(449\) | 4.25837 | − | 4.25837i | 0.200965 | − | 0.200965i | −0.599448 | − | 0.800413i | \(-0.704613\pi\) |
0.800413 | + | 0.599448i | \(0.204613\pi\) | |||||||
\(450\) | −10.8657 | + | 28.2217i | −0.512213 | + | 1.33038i | ||||
\(451\) | −9.23314 | − | 15.9923i | −0.434772 | − | 0.753047i | ||||
\(452\) | 3.64007 | + | 6.30478i | 0.171214 | + | 0.296552i | ||||
\(453\) | 1.77813 | − | 33.6071i | 0.0835437 | − | 1.57900i | ||||
\(454\) | 4.30333i | 0.201965i | ||||||||
\(455\) | 34.2157 | − | 14.1986i | 1.60406 | − | 0.665640i | ||||
\(456\) | 2.53446 | + | 0.824896i | 0.118687 | + | 0.0386293i | ||||
\(457\) | 5.88954 | + | 21.9801i | 0.275501 | + | 1.02818i | 0.955505 | + | 0.294976i | \(0.0953116\pi\) |
−0.680004 | + | 0.733209i | \(0.738022\pi\) | |||||||
\(458\) | −5.81317 | + | 3.35624i | −0.271632 | + | 0.156827i | ||||
\(459\) | −0.546252 | − | 0.244190i | −0.0254969 | − | 0.0113978i | ||||
\(460\) | 7.30641 | + | 27.2679i | 0.340663 | + | 1.27137i | ||||
\(461\) | −10.4546 | − | 10.4546i | −0.486917 | − | 0.486917i | 0.420415 | − | 0.907332i | \(-0.361885\pi\) |
−0.907332 | + | 0.420415i | \(0.861885\pi\) | |||||||
\(462\) | −1.91341 | + | 7.36394i | −0.0890198 | + | 0.342602i | ||||
\(463\) | 7.65222 | + | 7.65222i | 0.355629 | + | 0.355629i | 0.862199 | − | 0.506570i | \(-0.169087\pi\) |
−0.506570 | + | 0.862199i | \(0.669087\pi\) | |||||||
\(464\) | −4.30307 | − | 2.48438i | −0.199765 | − | 0.115334i | ||||
\(465\) | 3.62433 | − | 0.768481i | 0.168074 | − | 0.0356375i | ||||
\(466\) | −6.54735 | + | 24.4350i | −0.303300 | + | 1.13193i | ||||
\(467\) | −8.43515 | + | 14.6101i | −0.390332 | + | 0.676075i | −0.992493 | − | 0.122299i | \(-0.960973\pi\) |
0.602161 | + | 0.798375i | \(0.294307\pi\) | |||||||
\(468\) | −10.8102 | − | 0.374383i | −0.499700 | − | 0.0173058i | ||||
\(469\) | 17.2157 | − | 19.4338i | 0.794949 | − | 0.897368i | ||||
\(470\) | 6.41671 | + | 6.41671i | 0.295981 | + | 0.295981i | ||||
\(471\) | 5.92239 | + | 6.58410i | 0.272889 | + | 0.303379i | ||||
\(472\) | −4.50549 | + | 2.60124i | −0.207382 | + | 0.119732i | ||||
\(473\) | −4.89773 | + | 18.2786i | −0.225198 | + | 0.840450i | ||||
\(474\) | 1.39659 | − | 26.3960i | 0.0641476 | − | 1.21241i | ||||
\(475\) | −10.9686 | − | 10.9686i | −0.503273 | − | 0.503273i | ||||
\(476\) | −0.254162 | + | 0.167992i | −0.0116495 | + | 0.00769992i | ||||
\(477\) | 6.65835 | − | 9.14519i | 0.304865 | − | 0.418729i | ||||
\(478\) | −22.8108 | − | 13.1698i | −1.04334 | − | 0.602374i | ||||
\(479\) | 26.1862 | + | 7.01658i | 1.19648 | + | 0.320596i | 0.801444 | − | 0.598070i | \(-0.204066\pi\) |
0.395035 | + | 0.918666i | \(0.370732\pi\) | |||||||
\(480\) | −1.39516 | − | 6.57987i | −0.0636798 | − | 0.300328i | ||||
\(481\) | −9.31691 | − | 8.07802i | −0.424815 | − | 0.368326i | ||||
\(482\) | 13.0326i | 0.593618i | ||||||||
\(483\) | −23.7337 | − | 23.3763i | −1.07992 | − | 1.06366i | ||||
\(484\) | −8.24339 | −0.374700 | ||||||||
\(485\) | 11.7417 | − | 20.3371i | 0.533161 | − | 0.923462i | ||||
\(486\) | −4.07223 | + | 15.0472i | −0.184720 | + | 0.682553i | ||||
\(487\) | 11.7633 | + | 3.15197i | 0.533047 | + | 0.142829i | 0.515295 | − | 0.857013i | \(-0.327682\pi\) |
0.0177518 | + | 0.999842i | \(0.494349\pi\) | |||||||
\(488\) | 1.14951 | + | 4.29002i | 0.0520357 | + | 0.194200i | ||||
\(489\) | −2.34774 | + | 1.19476i | −0.106169 | + | 0.0540287i | ||||
\(490\) | −25.0088 | − | 10.6534i | −1.12978 | − | 0.481274i | ||||
\(491\) | −15.4732 | −0.698297 | −0.349149 | − | 0.937067i | \(-0.613529\pi\) | ||||
−0.349149 | + | 0.937067i | \(0.613529\pi\) | |||||||
\(492\) | −19.2374 | − | 1.01783i | −0.867287 | − | 0.0458875i | ||||
\(493\) | −0.495507 | + | 0.286081i | −0.0223165 | + | 0.0128844i | ||||
\(494\) | 2.42579 | − | 4.98991i | 0.109141 | − | 0.224507i | ||||
\(495\) | −17.6782 | + | 7.84967i | −0.794576 | + | 0.352816i | ||||
\(496\) | −0.389490 | + | 0.389490i | −0.0174886 | + | 0.0174886i | ||||
\(497\) | −26.4929 | + | 8.84553i | −1.18837 | + | 0.396776i | ||||
\(498\) | −7.95563 | − | 2.58934i | −0.356500 | − | 0.116031i | ||||
\(499\) | −4.56088 | − | 17.0214i | −0.204173 | − | 0.761984i | −0.989700 | − | 0.143157i | \(-0.954275\pi\) |
0.785527 | − | 0.618827i | \(-0.212392\pi\) | |||||||
\(500\) | −5.10620 | + | 19.0566i | −0.228356 | + | 0.852237i | ||||
\(501\) | −13.2880 | + | 20.4394i | −0.593665 | + | 0.913163i | ||||
\(502\) | 0.335472 | − | 0.0898895i | 0.0149729 | − | 0.00401196i | ||||
\(503\) | − | 6.14841i | − | 0.274144i | −0.990561 | − | 0.137072i | \(-0.956231\pi\) | ||
0.990561 | − | 0.137072i | \(-0.0437692\pi\) | |||||||
\(504\) | 5.35272 | + | 5.86075i | 0.238429 | + | 0.261058i | ||||
\(505\) | −26.7402 | − | 26.7402i | −1.18992 | − | 1.18992i | ||||
\(506\) | −6.03475 | + | 10.4525i | −0.268277 | + | 0.464670i | ||||
\(507\) | −3.86393 | + | 22.1827i | −0.171603 | + | 0.985166i | ||||
\(508\) | 0.841165 | + | 1.45694i | 0.0373207 | + | 0.0646413i | ||||
\(509\) | −11.4544 | + | 3.06919i | −0.507706 | + | 0.136039i | −0.503574 | − | 0.863952i | \(-0.667982\pi\) |
−0.00413183 | + | 0.999991i | \(0.501315\pi\) | |||||||
\(510\) | −0.736502 | − | 0.239711i | −0.0326129 | − | 0.0106146i | ||||
\(511\) | 12.0145 | + | 10.6433i | 0.531491 | + | 0.470831i | ||||
\(512\) | 0.707107 | + | 0.707107i | 0.0312500 | + | 0.0312500i | ||||
\(513\) | −6.20647 | − | 5.04133i | −0.274022 | − | 0.222580i | ||||
\(514\) | −1.28807 | + | 4.80716i | −0.0568145 | + | 0.212035i | ||||
\(515\) | 63.9159 | + | 17.1262i | 2.81647 | + | 0.754671i | ||||
\(516\) | 13.2021 | + | 14.6771i | 0.581188 | + | 0.646124i | ||||
\(517\) | 3.87979i | 0.170633i | ||||||||
\(518\) | 0.546624 | + | 9.03212i | 0.0240173 | + | 0.396849i | ||||
\(519\) | −10.6319 | + | 32.6662i | −0.466691 | + | 1.43389i | ||||
\(520\) | −13.9662 | + | 0.994694i | −0.612459 | + | 0.0436202i | ||||
\(521\) | 6.51520 | − | 3.76155i | 0.285436 | − | 0.164797i | −0.350446 | − | 0.936583i | \(-0.613970\pi\) |
0.635882 | + | 0.771786i | \(0.280637\pi\) | |||||||
\(522\) | 9.36922 | + | 11.5937i | 0.410080 | + | 0.507443i | ||||
\(523\) | −16.9961 | + | 29.4381i | −0.743188 | + | 1.28724i | 0.207848 | + | 0.978161i | \(0.433354\pi\) |
−0.951036 | + | 0.309079i | \(0.899979\pi\) | |||||||
\(524\) | 16.8895 | 0.737820 | ||||||||
\(525\) | −12.2941 | − | 44.5281i | −0.536557 | − | 1.94336i | ||||
\(526\) | −16.9441 | + | 16.9441i | −0.738798 | + | 0.738798i | ||||
\(527\) | 0.0164164 | + | 0.0612669i | 0.000715111 | + | 0.00266883i | ||||
\(528\) | 1.56744 | − | 2.41101i | 0.0682141 | − | 0.104926i | ||||
\(529\) | −14.9225 | − | 25.8465i | −0.648803 | − | 1.12376i | ||||
\(530\) | 7.32159 | − | 12.6814i | 0.318030 | − | 0.550844i | ||||
\(531\) | 15.4177 | − | 2.42613i | 0.669073 | − | 0.105285i | ||||
\(532\) | −3.86178 | + | 1.28938i | −0.167429 | + | 0.0559018i | ||||
\(533\) | −7.60106 | + | 39.3748i | −0.329239 | + | 1.70551i | ||||
\(534\) | −0.0566738 | − | 0.0630059i | −0.00245251 | − | 0.00272653i | ||||
\(535\) | 11.2241 | + | 3.00748i | 0.485258 | + | 0.130025i | ||||
\(536\) | −8.49823 | + | 4.90646i | −0.367068 | + | 0.211927i | ||||
\(537\) | 0.782109 | + | 0.869494i | 0.0337505 | + | 0.0375214i | ||||
\(538\) | 11.1289 | − | 11.1289i | 0.479802 | − | 0.479802i | ||||
\(539\) | −4.33992 | − | 10.7814i | −0.186934 | − | 0.464388i | ||||
\(540\) | −3.18650 | + | 19.9253i | −0.137125 | + | 0.857447i | ||||
\(541\) | −1.09015 | + | 0.292104i | −0.0468691 | + | 0.0125585i | −0.282177 | − | 0.959362i | \(-0.591057\pi\) |
0.235308 | + | 0.971921i | \(0.424390\pi\) | |||||||
\(542\) | 8.23865 | − | 4.75659i | 0.353880 | − | 0.204313i | ||||
\(543\) | −0.00245057 | − | 0.0115575i | −0.000105164 | − | 0.000495978i | ||||
\(544\) | 0.111228 | − | 0.0298035i | 0.00476887 | − | 0.00127782i | ||||
\(545\) | −33.5083 | −1.43534 | ||||||||
\(546\) | 13.6154 | − | 9.36058i | 0.582686 | − | 0.400596i | ||||
\(547\) | −38.4866 | −1.64557 | −0.822785 | − | 0.568353i | \(-0.807581\pi\) | ||||
−0.822785 | + | 0.568353i | \(0.807581\pi\) | |||||||
\(548\) | 6.54788 | − | 1.75450i | 0.279712 | − | 0.0749485i | ||||
\(549\) | 1.40600 | − | 13.2497i | 0.0600065 | − | 0.565482i | ||||
\(550\) | −14.4942 | + | 8.36824i | −0.618036 | + | 0.356823i | ||||
\(551\) | −7.38550 | + | 1.97894i | −0.314633 | + | 0.0843056i | ||||
\(552\) | 5.71061 | + | 11.2216i | 0.243060 | + | 0.477622i | ||||
\(553\) | 22.2640 | + | 33.6840i | 0.946760 | + | 1.43239i | ||||
\(554\) | 15.1577 | − | 15.1577i | 0.643991 | − | 0.643991i | ||||
\(555\) | −17.1029 | + | 15.3841i | −0.725979 | + | 0.653017i | ||||
\(556\) | 14.2369 | − | 8.21970i | 0.603780 | − | 0.348593i | ||||
\(557\) | 15.3629 | + | 4.11647i | 0.650946 | + | 0.174420i | 0.569156 | − | 0.822229i | \(-0.307270\pi\) |
0.0817892 | + | 0.996650i | \(0.473937\pi\) | |||||||
\(558\) | 1.51027 | − | 0.670607i | 0.0639349 | − | 0.0283891i | ||||
\(559\) | 34.0392 | − | 23.0236i | 1.43970 | − | 0.973794i | ||||
\(560\) | 7.69068 | + | 6.81293i | 0.324991 | + | 0.287899i | ||||
\(561\) | −0.150190 | − | 0.295129i | −0.00634101 | − | 0.0124603i | ||||
\(562\) | −9.88640 | + | 17.1237i | −0.417033 | + | 0.722322i | ||||
\(563\) | −15.1190 | − | 26.1868i | −0.637188 | − | 1.10364i | −0.986047 | − | 0.166467i | \(-0.946764\pi\) |
0.348859 | − | 0.937175i | \(-0.386569\pi\) | |||||||
\(564\) | 3.39338 | + | 2.20610i | 0.142887 | + | 0.0928935i | ||||
\(565\) | −7.31714 | − | 27.3080i | −0.307835 | − | 1.14885i | ||||
\(566\) | −1.27633 | + | 1.27633i | −0.0536481 | + | 0.0536481i | ||||
\(567\) | −8.66851 | − | 22.1778i | −0.364043 | − | 0.931382i | ||||
\(568\) | 10.5568 | 0.442952 | ||||||||
\(569\) | 7.47917 | − | 12.9543i | 0.313543 | − | 0.543072i | −0.665584 | − | 0.746323i | \(-0.731817\pi\) |
0.979127 | + | 0.203251i | \(0.0651507\pi\) | |||||||
\(570\) | −8.67772 | − | 5.64155i | −0.363469 | − | 0.236298i | ||||
\(571\) | 9.20784 | − | 5.31615i | 0.385336 | − | 0.222474i | −0.294801 | − | 0.955559i | \(-0.595253\pi\) |
0.680137 | + | 0.733085i | \(0.261920\pi\) | |||||||
\(572\) | −4.52298 | − | 3.92155i | −0.189115 | − | 0.163968i | ||||
\(573\) | 5.11585 | + | 1.66507i | 0.213718 | + | 0.0695593i | ||||
\(574\) | 24.5489 | − | 16.2259i | 1.02465 | − | 0.677258i | ||||
\(575\) | − | 73.2788i | − | 3.05594i | ||||||
\(576\) | −1.21747 | − | 2.74186i | −0.0507278 | − | 0.114244i | ||||
\(577\) | 6.74416 | + | 1.80709i | 0.280763 | + | 0.0752303i | 0.396453 | − | 0.918055i | \(-0.370241\pi\) |
−0.115689 | + | 0.993285i | \(0.536908\pi\) | |||||||
\(578\) | −4.39649 | + | 16.4079i | −0.182870 | + | 0.682480i | ||||
\(579\) | −1.59480 | + | 30.1422i | −0.0662778 | + | 1.25267i | ||||
\(580\) | 13.6439 | + | 13.6439i | 0.566532 | + | 0.566532i | ||||
\(581\) | 12.1221 | − | 4.04736i | 0.502908 | − | 0.167913i | ||||
\(582\) | 3.24164 | − | 9.95978i | 0.134370 | − | 0.412846i | ||||
\(583\) | 6.04729 | − | 1.62037i | 0.250453 | − | 0.0671088i | ||||
\(584\) | −3.03331 | − | 5.25386i | −0.125519 | − | 0.217406i | ||||
\(585\) | 40.1729 | + | 12.2694i | 1.66095 | + | 0.507279i | ||||
\(586\) | −12.7218 | + | 22.0349i | −0.525534 | + | 0.910252i | ||||
\(587\) | 15.0653 | + | 15.0653i | 0.621813 | + | 0.621813i | 0.945995 | − | 0.324182i | \(-0.105089\pi\) |
−0.324182 | + | 0.945995i | \(0.605089\pi\) | |||||||
\(588\) | −11.8975 | − | 2.33463i | −0.490643 | − | 0.0962783i | ||||
\(589\) | 0.847616i | 0.0349254i | ||||||||
\(590\) | 19.5147 | − | 5.22894i | 0.803406 | − | 0.215272i | ||||
\(591\) | 27.2910 | + | 17.7424i | 1.12260 | + | 0.729824i | ||||
\(592\) | 0.885179 | − | 3.30353i | 0.0363806 | − | 0.135774i | ||||
\(593\) | 0.0643968 | + | 0.240332i | 0.00264446 | + | 0.00986926i | 0.967235 | − | 0.253881i | \(-0.0817072\pi\) |
−0.964591 | + | 0.263750i | \(0.915041\pi\) | |||||||
\(594\) | −6.98715 | + | 5.06046i | −0.286686 | + | 0.207633i | ||||
\(595\) | 1.12222 | − | 0.374689i | 0.0460063 | − | 0.0153608i | ||||
\(596\) | −15.6958 | + | 15.6958i | −0.642924 | + | 0.642924i | ||||
\(597\) | 1.25347 | − | 1.12750i | 0.0513013 | − | 0.0461454i | ||||
\(598\) | 24.7714 | − | 8.56518i | 1.01298 | − | 0.350256i | ||||
\(599\) | −18.4405 | + | 10.6466i | −0.753458 | + | 0.435009i | −0.826942 | − | 0.562287i | \(-0.809922\pi\) |
0.0734837 | + | 0.997296i | \(0.476588\pi\) | |||||||
\(600\) | −0.922490 | + | 17.4353i | −0.0376605 | + | 0.711794i | ||||
\(601\) | 12.6355 | 0.515412 | 0.257706 | − | 0.966223i | \(-0.417033\pi\) | ||||
0.257706 | + | 0.966223i | \(0.417033\pi\) | |||||||
\(602\) | −29.5458 | − | 6.03087i | −1.20420 | − | 0.245800i | ||||
\(603\) | 29.0809 | − | 4.57615i | 1.18427 | − | 0.186355i | ||||
\(604\) | −5.02891 | − | 18.7681i | −0.204623 | − | 0.763665i | ||||
\(605\) | 30.9212 | + | 8.28530i | 1.25712 | + | 0.336845i | ||||
\(606\) | −14.1412 | − | 9.19344i | −0.574445 | − | 0.373458i | ||||
\(607\) | 0.452617 | − | 0.783955i | 0.0183711 | − | 0.0318198i | −0.856694 | − | 0.515825i | \(-0.827485\pi\) |
0.875065 | + | 0.484006i | \(0.160819\pi\) | |||||||
\(608\) | 1.53882 | 0.0624075 | ||||||||
\(609\) | −22.0379 | − | 5.72621i | −0.893021 | − | 0.232038i | ||||
\(610\) | − | 17.2473i | − | 0.698323i | ||||||
\(611\) | 5.51939 | − | 6.36588i | 0.223291 | − | 0.257536i | ||||
\(612\) | −0.343527 | − | 0.0364536i | −0.0138863 | − | 0.00147355i | ||||
\(613\) | −12.6274 | − | 3.38351i | −0.510017 | − | 0.136659i | −0.00537192 | − | 0.999986i | \(-0.501710\pi\) |
−0.504645 | + | 0.863327i | \(0.668377\pi\) | |||||||
\(614\) | 4.95380 | + | 2.86008i | 0.199919 | + | 0.115423i | ||||
\(615\) | 71.1368 | + | 23.1531i | 2.86851 | + | 0.933622i | ||||
\(616\) | 0.265364 | + | 4.38473i | 0.0106918 | + | 0.176666i | ||||
\(617\) | 6.56476 | + | 6.56476i | 0.264287 | + | 0.264287i | 0.826793 | − | 0.562506i | \(-0.190163\pi\) |
−0.562506 | + | 0.826793i | \(0.690163\pi\) | |||||||
\(618\) | 29.4722 | + | 1.55935i | 1.18555 | + | 0.0627263i | ||||
\(619\) | −0.885089 | + | 3.30320i | −0.0355747 | + | 0.132767i | −0.981429 | − | 0.191824i | \(-0.938560\pi\) |
0.945855 | + | 0.324590i | \(0.105226\pi\) | |||||||
\(620\) | 1.85245 | − | 1.06951i | 0.0743963 | − | 0.0429527i | ||||
\(621\) | −3.89201 | − | 37.5721i | −0.156181 | − | 1.50772i | ||||
\(622\) | 17.3486 | + | 17.3486i | 0.695617 | + | 0.695617i | ||||
\(623\) | 0.126834 | + | 0.0258893i | 0.00508151 | + | 0.00103723i | ||||
\(624\) | −6.00172 | + | 1.72609i | −0.240261 | + | 0.0690987i | ||||
\(625\) | 13.1060 | − | 22.7003i | 0.524241 | − | 0.908012i | ||||
\(626\) | 3.27706 | − | 12.2301i | 0.130978 | − | 0.488815i | ||||
\(627\) | −0.917894 | − | 4.32900i | −0.0366572 | − | 0.172883i | ||||
\(628\) | 4.42790 | + | 2.55645i | 0.176692 | + | 0.102013i | ||||
\(629\) | −0.278478 | − | 0.278478i | −0.0111037 | − | 0.0111037i | ||||
\(630\) | −14.1877 | − | 27.3637i | −0.565250 | − | 1.09020i | ||||
\(631\) | 19.4368 | + | 19.4368i | 0.773766 | + | 0.773766i | 0.978763 | − | 0.204996i | \(-0.0657183\pi\) |
−0.204996 | + | 0.978763i | \(0.565718\pi\) | |||||||
\(632\) | −3.94985 | − | 14.7410i | −0.157117 | − | 0.586367i | ||||
\(633\) | −17.6462 | + | 3.74160i | −0.701375 | + | 0.148715i | ||||
\(634\) | −21.3263 | + | 12.3127i | −0.846975 | + | 0.489001i | ||||
\(635\) | −1.69088 | − | 6.31046i | −0.0671007 | − | 0.250423i | ||||
\(636\) | 2.02135 | − | 6.21049i | 0.0801516 | − | 0.246262i | ||||
\(637\) | −8.21679 | + | 23.8639i | −0.325561 | + | 0.945521i | ||||
\(638\) | 8.24964i | 0.326606i | ||||||||
\(639\) | −29.5554 | − | 11.3792i | −1.16919 | − | 0.450153i | ||||
\(640\) | −1.94167 | − | 3.36308i | −0.0767514 | − | 0.132937i | ||||
\(641\) | −5.56004 | − | 9.63027i | −0.219608 | − | 0.380373i | 0.735080 | − | 0.677981i | \(-0.237145\pi\) |
−0.954688 | + | 0.297608i | \(0.903811\pi\) | |||||||
\(642\) | 5.17552 | + | 0.273833i | 0.204261 | + | 0.0108073i | ||||
\(643\) | −18.7436 | + | 18.7436i | −0.739176 | + | 0.739176i | −0.972419 | − | 0.233242i | \(-0.925066\pi\) |
0.233242 | + | 0.972419i | \(0.425066\pi\) | |||||||
\(644\) | −17.2069 | − | 8.59282i | −0.678048 | − | 0.338604i | ||||
\(645\) | −34.7695 | − | 68.3234i | −1.36905 | − | 2.69023i | ||||
\(646\) | 0.0885992 | − | 0.153458i | 0.00348589 | − | 0.00603774i | ||||
\(647\) | 14.7726 | + | 25.5869i | 0.580771 | + | 1.00593i | 0.995388 | + | 0.0959291i | \(0.0305822\pi\) |
−0.414617 | + | 0.909996i | \(0.636084\pi\) | |||||||
\(648\) | 0.453044 | + | 8.98859i | 0.0177972 | + | 0.353105i | ||||
\(649\) | 7.48048 | + | 4.31886i | 0.293635 | + | 0.169530i | ||||
\(650\) | 35.6864 | + | 6.88905i | 1.39974 | + | 0.270211i | ||||
\(651\) | −1.24547 | + | 2.19552i | −0.0488138 | + | 0.0860491i | ||||
\(652\) | −1.07543 | + | 1.07543i | −0.0421172 | + | 0.0421172i | ||||
\(653\) | −17.8677 | − | 10.3159i | −0.699217 | − | 0.403693i | 0.107839 | − | 0.994168i | \(-0.465607\pi\) |
−0.807056 | + | 0.590475i | \(0.798940\pi\) | |||||||
\(654\) | −14.6203 | + | 3.10001i | −0.571700 | + | 0.121220i | ||||
\(655\) | −63.3528 | − | 16.9753i | −2.47540 | − | 0.663282i | ||||
\(656\) | −10.7432 | + | 2.87864i | −0.419453 | + | 0.112392i | ||||
\(657\) | 2.82911 | + | 17.9787i | 0.110374 | + | 0.701414i | ||||
\(658\) | −6.17129 | + | 0.373486i | −0.240582 | + | 0.0145600i | ||||
\(659\) | 39.7576i | 1.54874i | 0.632734 | + | 0.774369i | \(0.281933\pi\) | ||||
−0.632734 | + | 0.774369i | \(0.718067\pi\) | |||||||
\(660\) | −8.30277 | + | 7.46834i | −0.323185 | + | 0.290705i | ||||
\(661\) | −2.27602 | + | 8.49424i | −0.0885271 | + | 0.330388i | −0.995959 | − | 0.0898122i | \(-0.971373\pi\) |
0.907432 | + | 0.420200i | \(0.138040\pi\) | |||||||
\(662\) | 6.94053 | + | 12.0214i | 0.269752 | + | 0.467223i | ||||
\(663\) | −0.173422 | + | 0.697900i | −0.00673515 | + | 0.0271042i | ||||
\(664\) | −4.83035 | −0.187454 | ||||||||
\(665\) | 15.7815 | − | 0.955098i | 0.611982 | − | 0.0370371i | ||||
\(666\) | −6.03910 | + | 8.29464i | −0.234010 | + | 0.321411i | ||||
\(667\) | −31.2809 | − | 18.0601i | −1.21120 | − | 0.699288i | ||||
\(668\) | −3.64294 | + | 13.5957i | −0.140950 | + | 0.526032i | ||||
\(669\) | 23.8371 | − | 36.6658i | 0.921597 | − | 1.41758i | ||||
\(670\) | 36.8085 | − | 9.86280i | 1.42204 | − | 0.381033i | ||||
\(671\) | 5.21420 | − | 5.21420i | 0.201292 | − | 0.201292i | ||||
\(672\) | 3.98589 | + | 2.26112i | 0.153759 | + | 0.0872244i | ||||
\(673\) | 50.3529i | 1.94096i | 0.241179 | + | 0.970481i | \(0.422466\pi\) | ||||
−0.241179 | + | 0.970481i | \(0.577534\pi\) | |||||||
\(674\) | −8.21274 | − | 30.6504i | −0.316343 | − | 1.18061i | ||||
\(675\) | 21.3763 | − | 47.8187i | 0.822774 | − | 1.84054i | ||||
\(676\) | 1.84241 | + | 12.8688i | 0.0708620 | + | 0.494953i | ||||
\(677\) | 44.2683 | + | 25.5583i | 1.70137 | + | 0.982287i | 0.944377 | + | 0.328865i | \(0.106666\pi\) |
0.756994 | + | 0.653422i | \(0.226667\pi\) | |||||||
\(678\) | −5.71900 | − | 11.2381i | −0.219637 | − | 0.431595i | ||||
\(679\) | 5.06695 | + | 15.1758i | 0.194452 | + | 0.582394i | ||||
\(680\) | −0.447175 | −0.0171484 | ||||||||
\(681\) | 0.393813 | − | 7.44317i | 0.0150909 | − | 0.285223i | ||||
\(682\) | 0.883369 | + | 0.236698i | 0.0338260 | + | 0.00906364i | ||||
\(683\) | 5.20735 | + | 1.39531i | 0.199254 | + | 0.0533899i | 0.357066 | − | 0.934079i | \(-0.383777\pi\) |
−0.157812 | + | 0.987469i | \(0.550444\pi\) | |||||||
\(684\) | −4.30819 | − | 1.65870i | −0.164728 | − | 0.0634221i | ||||
\(685\) | −26.3247 | −1.00581 | ||||||||
\(686\) | 16.7314 | − | 7.94105i | 0.638808 | − | 0.303191i | ||||
\(687\) | 10.3618 | − | 5.27307i | 0.395327 | − | 0.201180i | ||||
\(688\) | 9.87056 | + | 5.69877i | 0.376312 | + | 0.217264i | ||||
\(689\) | −12.2274 | − | 5.94421i | −0.465827 | − | 0.226456i | ||||
\(690\) | −10.1420 | − | 47.8320i | −0.386100 | − | 1.82093i | ||||
\(691\) | −6.91208 | − | 25.7962i | −0.262948 | − | 0.981335i | −0.963495 | − | 0.267728i | \(-0.913727\pi\) |
0.700547 | − | 0.713607i | \(-0.252940\pi\) | |||||||
\(692\) | 19.8336i | 0.753961i | ||||||||
\(693\) | 3.98339 | − | 12.5618i | 0.151317 | − | 0.477184i | ||||
\(694\) | 14.1838 | − | 14.1838i | 0.538410 | − | 0.538410i | ||||
\(695\) | −61.6645 | + | 16.5230i | −2.33907 | + | 0.626752i | ||||
\(696\) | 7.21537 | + | 4.69085i | 0.273498 | + | 0.177806i | ||||
\(697\) | −0.331482 | + | 1.23711i | −0.0125558 | + | 0.0468588i | ||||
\(698\) | −9.64693 | − | 5.56965i | −0.365142 | − | 0.210815i | ||||
\(699\) | 13.5606 | − | 41.6645i | 0.512911 | − | 1.57589i | ||||
\(700\) | −14.7060 | − | 22.2493i | −0.555835 | − | 0.840944i | ||||
\(701\) | −50.8532 | −1.92070 | −0.960350 | − | 0.278798i | \(-0.910064\pi\) | ||||
−0.960350 | + | 0.278798i | \(0.910064\pi\) | |||||||
\(702\) | 18.6634 | + | 1.63682i | 0.704403 | + | 0.0617778i | ||||
\(703\) | −2.63144 | − | 4.55779i | −0.0992466 | − | 0.171900i | ||||
\(704\) | 0.429718 | − | 1.60373i | 0.0161956 | − | 0.0604429i | ||||
\(705\) | −10.5113 | − | 11.6858i | −0.395879 | − | 0.440111i | ||||
\(706\) | − | 6.72393i | − | 0.253058i | ||||||
\(707\) | 25.7175 | − | 1.55642i | 0.967207 | − | 0.0585353i | ||||
\(708\) | 8.03088 | − | 4.08688i | 0.301819 | − | 0.153594i | ||||
\(709\) | −41.6608 | + | 11.1630i | −1.56460 | + | 0.419234i | −0.934117 | − | 0.356967i | \(-0.883811\pi\) |
−0.630486 | + | 0.776201i | \(0.717144\pi\) | |||||||
\(710\) | −39.5986 | − | 10.6104i | −1.48611 | − | 0.398202i | ||||
\(711\) | −4.83118 | + | 45.5275i | −0.181183 | + | 1.70742i | ||||
\(712\) | −0.0423724 | − | 0.0244637i | −0.00158797 | − | 0.000916816i | ||||
\(713\) | −2.83138 | + | 2.83138i | −0.106036 | + | 0.106036i | ||||
\(714\) | 0.454981 | − | 0.267306i | 0.0170272 | − | 0.0100037i | ||||
\(715\) | 13.0243 | + | 19.2558i | 0.487082 | + | 0.720126i | ||||
\(716\) | 0.584747 | + | 0.337604i | 0.0218530 | + | 0.0126168i | ||||
\(717\) | 38.2491 | + | 24.8665i | 1.42844 | + | 0.928655i | ||||
\(718\) | 5.89581 | + | 10.2118i | 0.220030 | + | 0.381103i | ||||
\(719\) | −15.9927 | + | 27.7001i | −0.596426 | + | 1.03304i | 0.396918 | + | 0.917854i | \(0.370080\pi\) |
−0.993344 | + | 0.115186i | \(0.963254\pi\) | |||||||
\(720\) | 1.81096 | + | 11.5084i | 0.0674904 | + | 0.428894i | ||||
\(721\) | −37.6096 | + | 24.8586i | −1.40065 | + | 0.925783i | ||||
\(722\) | −11.7606 | + | 11.7606i | −0.437685 | + | 0.437685i | ||||
\(723\) | 1.19266 | − | 22.5416i | 0.0443554 | − | 0.838330i | ||||
\(724\) | −0.00341052 | − | 0.00590720i | −0.000126751 | − | 0.000219539i | ||||
\(725\) | −25.0434 | − | 43.3765i | −0.930090 | − | 1.61096i | ||||
\(726\) | 14.2580 | + | 0.754382i | 0.529165 | + | 0.0279977i | ||||
\(727\) | 3.98635i | 0.147846i | 0.997264 | + | 0.0739228i | \(0.0235518\pi\) | ||||
−0.997264 | + | 0.0739228i | \(0.976448\pi\) | |||||||
\(728\) | 5.80231 | − | 7.57187i | 0.215048 | − | 0.280632i | ||||
\(729\) | 8.42047 | − | 25.6534i | 0.311869 | − | 0.950125i | ||||
\(730\) | 6.09747 | + | 22.7561i | 0.225678 | + | 0.842240i | ||||
\(731\) | 1.13662 | − | 0.656225i | 0.0420392 | − | 0.0242714i | ||||
\(732\) | −1.59563 | − | 7.52535i | −0.0589761 | − | 0.278145i | ||||
\(733\) | 2.57883 | + | 9.62431i | 0.0952511 | + | 0.355482i | 0.997057 | − | 0.0766585i | \(-0.0244251\pi\) |
−0.901806 | + | 0.432140i | \(0.857758\pi\) | |||||||
\(734\) | −13.4780 | − | 13.4780i | −0.497483 | − | 0.497483i | ||||
\(735\) | 42.2812 | + | 20.7152i | 1.55956 | + | 0.764091i | ||||
\(736\) | 5.14028 | + | 5.14028i | 0.189473 | + | 0.189473i | ||||
\(737\) | 14.1097 | + | 8.14621i | 0.519736 | + | 0.300070i | ||||
\(738\) | 33.1804 | + | 3.52096i | 1.22139 | + | 0.129608i | ||||
\(739\) | −5.09752 | + | 19.0242i | −0.187515 | + | 0.699817i | 0.806563 | + | 0.591149i | \(0.201325\pi\) |
−0.994078 | + | 0.108668i | \(0.965341\pi\) | |||||||
\(740\) | −6.64065 | + | 11.5019i | −0.244115 | + | 0.422820i | ||||
\(741\) | −4.65237 | + | 8.40871i | −0.170909 | + | 0.308902i | ||||
\(742\) | 3.15953 | + | 9.46299i | 0.115990 | + | 0.347397i | ||||
\(743\) | −18.6277 | − | 18.6277i | −0.683384 | − | 0.683384i | 0.277377 | − | 0.960761i | \(-0.410535\pi\) |
−0.960761 | + | 0.277377i | \(0.910535\pi\) | |||||||
\(744\) | 0.709317 | − | 0.638030i | 0.0260048 | − | 0.0233913i | ||||
\(745\) | 74.6508 | − | 43.0997i | 2.73499 | − | 1.57905i | ||||
\(746\) | −3.44521 | + | 12.8577i | −0.126138 | + | 0.470753i | ||||
\(747\) | 13.5234 | + | 5.20665i | 0.494794 | + | 0.190502i | ||||
\(748\) | −0.135190 | − | 0.135190i | −0.00494303 | − | 0.00494303i | ||||
\(749\) | −6.60449 | + | 4.36534i | −0.241323 | + | 0.159506i | ||||
\(750\) | 10.5758 | − | 32.4936i | 0.386173 | − | 1.18650i | ||||
\(751\) | −5.48150 | − | 3.16474i | −0.200023 | − | 0.115483i | 0.396643 | − | 0.917973i | \(-0.370175\pi\) |
−0.596666 | + | 0.802490i | \(0.703508\pi\) | |||||||
\(752\) | 2.25717 | + | 0.604808i | 0.0823106 | + | 0.0220551i | ||||
\(753\) | −0.588469 | + | 0.124775i | −0.0214450 | + | 0.00454707i | ||||
\(754\) | 11.7359 | − | 13.5358i | 0.427397 | − | 0.492946i | ||||
\(755\) | 75.4542i | 2.74606i | ||||||||
\(756\) | −8.72190 | − | 10.6268i | −0.317213 | − | 0.386492i | ||||
\(757\) | 18.4902 | 0.672036 | 0.336018 | − | 0.941855i | \(-0.390920\pi\) | ||||
0.336018 | + | 0.941855i | \(0.390920\pi\) | |||||||
\(758\) | −16.6327 | + | 28.8087i | −0.604126 | + | 1.04638i | ||||
\(759\) | 11.3944 | − | 17.5267i | 0.413592 | − | 0.636179i | ||||
\(760\) | −5.77216 | − | 1.54665i | −0.209378 | − | 0.0561027i | ||||
\(761\) | 3.15296 | + | 11.7670i | 0.114295 | + | 0.426554i | 0.999233 | − | 0.0391543i | \(-0.0124664\pi\) |
−0.884938 | + | 0.465708i | \(0.845800\pi\) | |||||||
\(762\) | −1.32158 | − | 2.59695i | −0.0478757 | − | 0.0940775i | ||||
\(763\) | 15.1382 | − | 17.0885i | 0.548039 | − | 0.618647i | ||||
\(764\) | 3.10615 | 0.112376 | ||||||||
\(765\) | 1.25194 | + | 0.482012i | 0.0452640 | + | 0.0174272i | ||||
\(766\) | −7.10463 | + | 4.10186i | −0.256701 | + | 0.148206i | ||||
\(767\) | −6.12980 | − | 17.7280i | −0.221334 | − | 0.640121i | ||||
\(768\) | −1.15832 | − | 1.28774i | −0.0417974 | − | 0.0464675i | ||||
\(769\) | −24.4015 | + | 24.4015i | −0.879941 | + | 0.879941i | −0.993528 | − | 0.113587i | \(-0.963766\pi\) |
0.113587 | + | 0.993528i | \(0.463766\pi\) | |||||||
\(770\) | 3.41164 | − | 16.7139i | 0.122947 | − | 0.602328i | ||||
\(771\) | 2.66781 | − | 8.19673i | 0.0960789 | − | 0.295198i | ||||
\(772\) | 4.51043 | + | 16.8332i | 0.162334 | + | 0.605839i | ||||
\(773\) | −11.9614 | + | 44.6405i | −0.430221 | + | 1.60561i | 0.322029 | + | 0.946730i | \(0.395635\pi\) |
−0.752250 | + | 0.658878i | \(0.771032\pi\) | |||||||
\(774\) | −21.4915 | − | 26.5942i | −0.772497 | − | 0.955908i | ||||
\(775\) | −5.36329 | + | 1.43709i | −0.192655 | + | 0.0516217i | ||||
\(776\) | − | 6.04719i | − | 0.217081i | ||||||
\(777\) | −0.118896 | − | 15.6723i | −0.00426537 | − | 0.562240i | ||||
\(778\) | −20.0473 | − | 20.0473i | −0.718729 | − | 0.718729i | ||||
\(779\) | −8.55757 | + | 14.8221i | −0.306607 | + | 0.531058i | ||||
\(780\) | 24.2474 | − | 0.442356i | 0.868198 | − | 0.0158389i | ||||
\(781\) | −8.76371 | − | 15.1792i | −0.313590 | − | 0.543154i | ||||
\(782\) | 0.808569 | − | 0.216655i | 0.0289144 | − | 0.00774758i | ||||
\(783\) | −15.1443 | − | 20.9103i | −0.541214 | − | 0.747272i | ||||
\(784\) | −6.94891 | + | 0.844187i | −0.248175 | + | 0.0301495i | ||||
\(785\) | −14.0397 | − | 14.0397i | −0.501099 | − | 0.501099i | ||||
\(786\) | −29.2126 | − | 1.54562i | −1.04198 | − | 0.0551303i | ||||
\(787\) | 10.3261 | − | 38.5375i | 0.368085 | − | 1.37371i | −0.495104 | − | 0.868834i | \(-0.664870\pi\) |
0.863190 | − | 0.504880i | \(-0.168463\pi\) | |||||||
\(788\) | 18.1531 | + | 4.86412i | 0.646679 | + | 0.173277i | ||||
\(789\) | 30.8577 | − | 27.7564i | 1.09856 | − | 0.988155i | ||||
\(790\) | 59.2639i | 2.10852i | ||||||||
\(791\) | 17.2322 | + | 8.60544i | 0.612707 | + | 0.305974i | ||||
\(792\) | −2.93174 | + | 4.02671i | −0.104175 | + | 0.143083i | ||||
\(793\) | −15.9731 | + | 1.13762i | −0.567220 | + | 0.0403982i | ||||
\(794\) | 25.5857 | − | 14.7719i | 0.908002 | − | 0.524235i | ||||
\(795\) | −13.8242 | + | 21.2641i | −0.490293 | + | 0.754159i | ||||
\(796\) | 0.486694 | − | 0.842978i | 0.0172504 | − | 0.0298786i | ||||
\(797\) | −15.2312 | −0.539517 | −0.269758 | − | 0.962928i | \(-0.586944\pi\) | ||||
−0.269758 | + | 0.962928i | \(0.586944\pi\) | |||||||
\(798\) | 6.79744 | − | 1.87675i | 0.240627 | − | 0.0664363i | ||||
\(799\) | 0.190273 | − | 0.190273i | 0.00673138 | − | 0.00673138i | ||||
\(800\) | 2.60899 | + | 9.73689i | 0.0922418 | + | 0.344251i | ||||
\(801\) | 0.0922589 | + | 0.114163i | 0.00325981 | + | 0.00403377i | ||||
\(802\) | 6.55121 | + | 11.3470i | 0.231331 | + | 0.400678i | ||||
\(803\) | −5.03623 | + | 8.72300i | −0.177725 | + | 0.307828i | ||||
\(804\) | 15.1478 | − | 7.70866i | 0.534222 | − | 0.271864i | ||||
\(805\) | 55.9071 | + | 49.5263i | 1.97047 | + | 1.74557i | ||||
\(806\) | −1.11269 | − | 1.64505i | −0.0391927 | − | 0.0579444i | ||||
\(807\) | −20.2674 | + | 18.2305i | −0.713446 | + | 0.641744i | ||||
\(808\) | −9.40628 | − | 2.52041i | −0.330912 | − | 0.0886676i | ||||
\(809\) | −16.5983 | + | 9.58305i | −0.583566 | + | 0.336922i | −0.762549 | − | 0.646930i | \(-0.776053\pi\) |
0.178983 | + | 0.983852i | \(0.442719\pi\) | |||||||
\(810\) | 7.33491 | − | 34.1718i | 0.257722 | − | 1.20067i | ||||
\(811\) | 1.68984 | − | 1.68984i | 0.0593384 | − | 0.0593384i | −0.676815 | − | 0.736153i | \(-0.736640\pi\) |
0.736153 | + | 0.676815i | \(0.236640\pi\) | |||||||
\(812\) | −13.1221 | + | 0.794147i | −0.460495 | + | 0.0278691i | ||||
\(813\) | −14.6851 | + | 7.47319i | −0.515030 | + | 0.262096i | ||||
\(814\) | −5.48487 | + | 1.46967i | −0.192245 | + | 0.0515118i | ||||
\(815\) | 5.11487 | − | 2.95307i | 0.179166 | − | 0.103442i | ||||
\(816\) | −0.195111 | + | 0.0413702i | −0.00683027 | + | 0.00144825i | ||||
\(817\) | 16.9412 | − | 4.53937i | 0.592697 | − | 0.158813i | ||||
\(818\) | −11.5345 | −0.403293 | ||||||||
\(819\) | −24.4063 | + | 14.9444i | −0.852824 | + | 0.522198i | ||||
\(820\) | 43.1915 | 1.50831 | ||||||||
\(821\) | 17.9934 | − | 4.82131i | 0.627973 | − | 0.168265i | 0.0692231 | − | 0.997601i | \(-0.477948\pi\) |
0.558750 | + | 0.829336i | \(0.311281\pi\) | |||||||
\(822\) | −11.4860 | + | 2.43542i | −0.400620 | + | 0.0849450i | ||||
\(823\) | 22.9357 | − | 13.2419i | 0.799487 | − | 0.461584i | −0.0438048 | − | 0.999040i | \(-0.513948\pi\) |
0.843292 | + | 0.537456i | \(0.180615\pi\) | |||||||
\(824\) | 16.4590 | − | 4.41017i | 0.573375 | − | 0.153635i | ||||
\(825\) | 25.8355 | − | 13.1476i | 0.899475 | − | 0.457739i | ||||
\(826\) | −6.14957 | + | 12.3144i | −0.213971 | + | 0.428472i | ||||
\(827\) | −11.5256 | + | 11.5256i | −0.400784 | + | 0.400784i | −0.878509 | − | 0.477725i | \(-0.841462\pi\) |
0.477725 | + | 0.878509i | \(0.341462\pi\) | |||||||
\(828\) | −8.85033 | − | 19.9318i | −0.307570 | − | 0.692678i | ||||
\(829\) | −16.5962 | + | 9.58183i | −0.576410 | + | 0.332791i | −0.759706 | − | 0.650267i | \(-0.774657\pi\) |
0.183295 | + | 0.983058i | \(0.441324\pi\) | |||||||
\(830\) | 18.1187 | + | 4.85490i | 0.628911 | + | 0.168516i | ||||
\(831\) | −27.6044 | + | 24.8302i | −0.957588 | + | 0.861349i | ||||
\(832\) | −2.98654 | + | 2.02005i | −0.103540 | + | 0.0700325i | ||||
\(833\) | −0.315904 | + | 0.741582i | −0.0109454 | + | 0.0256943i | ||||
\(834\) | −25.3769 | + | 12.9142i | −0.878729 | + | 0.447181i | ||||
\(835\) | 27.3295 | − | 47.3362i | 0.945778 | − | 1.63814i | ||||
\(836\) | −1.27746 | − | 2.21262i | −0.0441818 | − | 0.0765250i | ||||
\(837\) | −2.67358 | + | 1.02169i | −0.0924126 | + | 0.0353149i | ||||
\(838\) | −1.30104 | − | 4.85554i | −0.0449436 | − | 0.167732i | ||||
\(839\) | −4.96262 | + | 4.96262i | −0.171329 | + | 0.171329i | −0.787563 | − | 0.616234i | \(-0.788657\pi\) |
0.616234 | + | 0.787563i | \(0.288657\pi\) | |||||||
\(840\) | −12.6786 | − | 12.4877i | −0.437452 | − | 0.430865i | ||||
\(841\) | 4.31149 | 0.148672 | ||||||||
\(842\) | −11.7307 | + | 20.3181i | −0.404266 | + | 0.700209i | ||||
\(843\) | 18.6669 | − | 28.7130i | 0.642922 | − | 0.988929i | ||||
\(844\) | −9.01928 | + | 5.20728i | −0.310456 | + | 0.179242i | ||||
\(845\) | 6.02328 | − | 50.1229i | 0.207207 | − | 1.72428i | ||||
\(846\) | −5.66740 | − | 4.12628i | −0.194849 | − | 0.141864i | ||||
\(847\) | −18.1947 | + | 12.0261i | −0.625178 | + | 0.413221i | ||||
\(848\) | − | 3.77077i | − | 0.129489i | ||||||
\(849\) | 2.32438 | − | 2.09078i | 0.0797725 | − | 0.0717553i | ||||
\(850\) | 1.12122 | + | 0.300431i | 0.0384576 | + | 0.0103047i | ||||
\(851\) | 6.43477 | − | 24.0149i | 0.220581 | − | 0.823219i | ||||
\(852\) | −18.2593 | − | 0.966086i | −0.625553 | − | 0.0330976i | ||||
\(853\) | 10.4379 | + | 10.4379i | 0.357386 | + | 0.357386i | 0.862849 | − | 0.505463i | \(-0.168678\pi\) |
−0.505463 | + | 0.862849i | \(0.668678\pi\) | |||||||
\(854\) | 8.79578 | + | 7.79190i | 0.300985 | + | 0.266633i | ||||
\(855\) | 14.4930 | + | 10.5519i | 0.495649 | + | 0.360868i | ||||
\(856\) | 2.89031 | − | 0.774455i | 0.0987886 | − | 0.0264703i | ||||
\(857\) | 2.34286 | + | 4.05795i | 0.0800305 | + | 0.138617i | 0.903263 | − | 0.429088i | \(-0.141165\pi\) |
−0.823232 | + | 0.567705i | \(0.807832\pi\) | |||||||
\(858\) | 7.46422 | + | 7.19675i | 0.254824 | + | 0.245693i | ||||
\(859\) | 13.2187 | − | 22.8954i | 0.451016 | − | 0.781182i | −0.547434 | − | 0.836849i | \(-0.684395\pi\) |
0.998449 | + | 0.0556669i | \(0.0177285\pi\) | |||||||
\(860\) | −31.2970 | − | 31.2970i | −1.06722 | − | 1.06722i | ||||
\(861\) | −43.9454 | + | 25.8183i | −1.49765 | + | 0.879887i | ||||
\(862\) | − | 16.0625i | − | 0.547090i | ||||||
\(863\) | −18.2741 | + | 4.89654i | −0.622059 | + | 0.166680i | −0.556064 | − | 0.831140i | \(-0.687689\pi\) |
−0.0659954 | + | 0.997820i | \(0.521022\pi\) | |||||||
\(864\) | 1.85485 | + | 4.85381i | 0.0631034 | + | 0.165130i | ||||
\(865\) | 19.9344 | − | 74.3964i | 0.677792 | − | 2.52955i | ||||
\(866\) | 6.91128 | + | 25.7932i | 0.234855 | + | 0.876490i | ||||
\(867\) | 9.10586 | − | 27.9773i | 0.309251 | − | 0.950160i | ||||
\(868\) | −0.291460 | + | 1.42789i | −0.00989281 | + | 0.0484659i | ||||
\(869\) | −17.9167 | + | 17.9167i | −0.607781 | + | 0.607781i | ||||
\(870\) | −22.3503 | − | 24.8475i | −0.757747 | − | 0.842410i | ||||
\(871\) | −11.5620 | − | 33.4385i | −0.391763 | − | 1.13302i | ||||
\(872\) | −7.47268 | + | 4.31436i | −0.253057 | + | 0.146103i | ||||
\(873\) | −6.51829 | + | 16.9301i | −0.220611 | + | 0.572997i | ||||
\(874\) | 11.1864 | 0.378385 | ||||||||
\(875\) | 16.5308 | + | 49.5108i | 0.558844 | + | 1.67377i | ||||
\(876\) | 4.76572 | + | 9.36482i | 0.161019 | + | 0.316408i | ||||
\(877\) | 10.0478 | + | 37.4990i | 0.339291 | + | 1.26625i | 0.899141 | + | 0.437658i | \(0.144192\pi\) |
−0.559850 | + | 0.828594i | \(0.689141\pi\) | |||||||
\(878\) | 1.03404 | + | 0.277071i | 0.0348973 | + | 0.00935070i | ||||
\(879\) | 24.0206 | − | 36.9480i | 0.810194 | − | 1.24622i | ||||
\(880\) | −3.22377 | + | 5.58373i | −0.108673 | + | 0.188227i | ||||
\(881\) | 19.3219 | 0.650971 | 0.325485 | − | 0.945547i | \(-0.394472\pi\) | ||||
0.325485 | + | 0.945547i | \(0.394472\pi\) | |||||||
\(882\) | 20.3646 | + | 5.12682i | 0.685711 | + | 0.172629i | ||||
\(883\) | − | 33.7328i | − | 1.13520i | −0.823304 | − | 0.567600i | \(-0.807872\pi\) | ||
0.823304 | − | 0.567600i | \(-0.192128\pi\) | |||||||
\(884\) | 0.0294955 | + | 0.414137i | 0.000992039 | + | 0.0139290i | ||||
\(885\) | −34.2317 | + | 7.25828i | −1.15069 | + | 0.243984i | ||||
\(886\) | −19.3491 | − | 5.18459i | −0.650047 | − | 0.174180i | ||||
\(887\) | −19.7788 | − | 11.4193i | −0.664107 | − | 0.383422i | 0.129733 | − | 0.991549i | \(-0.458588\pi\) |
−0.793840 | + | 0.608127i | \(0.791921\pi\) | |||||||
\(888\) | −1.83335 | + | 5.63289i | −0.0615232 | + | 0.189027i | ||||
\(889\) | 3.98211 | + | 1.98859i | 0.133556 | + | 0.0666951i | ||||
\(890\) | 0.134352 | + | 0.134352i | 0.00450348 | + | 0.00450348i | ||||
\(891\) | 12.5483 | − | 8.11331i | 0.420383 | − | 0.271806i | ||||
\(892\) | 6.53502 | − | 24.3890i | 0.218809 | − | 0.816605i | ||||
\(893\) | 3.11416 | − | 1.79796i | 0.104211 | − | 0.0601664i | ||||
\(894\) | 28.5843 | − | 25.7115i | 0.956002 | − | 0.859923i | ||||
\(895\) | −1.85408 | − | 1.85408i | −0.0619750 | − | 0.0619750i | ||||
\(896\) | 2.59230 | + | 0.529138i | 0.0866026 | + | 0.0176773i | ||||
\(897\) | −43.6292 | + | 12.5477i | −1.45674 | + | 0.418955i | ||||
\(898\) | −3.01112 | + | 5.21542i | −0.100482 | + | 0.174041i | ||||
\(899\) | −0.708361 | + | 2.64364i | −0.0236252 | + | 0.0881703i | ||||
\(900\) | 3.19114 | − | 30.0723i | 0.106371 | − | 1.00241i | ||||
\(901\) | −0.376038 | − | 0.217106i | −0.0125276 | − | 0.00723284i | ||||
\(902\) | 13.0576 | + | 13.0576i | 0.434772 | + | 0.434772i | ||||
\(903\) | 50.5515 | + | 13.1350i | 1.68225 | + | 0.437106i | ||||
\(904\) | −5.14783 | − | 5.14783i | −0.171214 | − | 0.171214i | ||||
\(905\) | 0.00685572 | + | 0.0255859i | 0.000227892 | + | 0.000850504i | ||||
\(906\) | 6.98062 | + | 32.9222i | 0.231916 | + | 1.09377i | ||||
\(907\) | 27.5416 | − | 15.9011i | 0.914504 | − | 0.527989i | 0.0326262 | − | 0.999468i | \(-0.489613\pi\) |
0.881877 | + | 0.471479i | \(0.156280\pi\) | |||||||
\(908\) | −1.11378 | − | 4.15669i | −0.0369622 | − | 0.137945i | ||||
\(909\) | 23.6177 | + | 17.1954i | 0.783349 | + | 0.570334i | ||||
\(910\) | −29.3750 | + | 22.5705i | −0.973771 | + | 0.748203i | ||||
\(911\) | − | 3.03745i | − | 0.100635i | −0.998733 | − | 0.0503176i | \(-0.983977\pi\) | ||
0.998733 | − | 0.0503176i | \(-0.0160233\pi\) | |||||||
\(912\) | −2.66160 | − | 0.140823i | −0.0881342 | − | 0.00466312i | ||||
\(913\) | 4.00992 | + | 6.94539i | 0.132709 | + | 0.229859i | ||||
\(914\) | −11.3777 | − | 19.7068i | −0.376342 | − | 0.651843i | ||||
\(915\) | −1.57836 | + | 29.8315i | −0.0521791 | + | 0.986199i | ||||
\(916\) | 4.74643 | − | 4.74643i | 0.156827 | − | 0.156827i | ||||
\(917\) | 37.2783 | − | 24.6396i | 1.23104 | − | 0.813673i | ||||
\(918\) | 0.590840 | + | 0.0944887i | 0.0195006 | + | 0.00311859i | ||||
\(919\) | 2.26435 | − | 3.92197i | 0.0746940 | − | 0.129374i | −0.826259 | − | 0.563290i | \(-0.809535\pi\) |
0.900953 | + | 0.433916i | \(0.142869\pi\) | |||||||
\(920\) | −14.1149 | − | 24.4477i | −0.465354 | − | 0.806017i | ||||
\(921\) | −8.30651 | − | 5.40022i | −0.273709 | − | 0.177943i | ||||
\(922\) | 12.8042 | + | 7.39249i | 0.421683 | + | 0.243459i | ||||
\(923\) | −7.21461 | + | 37.3729i | −0.237472 | + | 1.23014i | ||||
\(924\) | −0.0577191 | − | 7.60825i | −0.00189882 | − | 0.250293i | ||||
\(925\) | 24.3779 | − | 24.3779i | 0.801540 | − | 0.801540i | ||||
\(926\) | −9.37202 | − | 5.41094i | −0.307984 | − | 0.177814i | ||||
\(927\) | −50.8333 | − | 5.39421i | −1.66959 | − | 0.177169i | ||||
\(928\) | 4.79945 | + | 1.28601i | 0.157550 | + | 0.0422153i | ||||
\(929\) | 40.7401 | − | 10.9163i | 1.33664 | − | 0.358152i | 0.481454 | − | 0.876471i | \(-0.340109\pi\) |
0.855187 | + | 0.518320i | \(0.173442\pi\) | |||||||
\(930\) | −3.30194 | + | 1.68034i | −0.108275 | + | 0.0551006i | ||||
\(931\) | −6.64262 | + | 8.47976i | −0.217703 | + | 0.277913i | ||||
\(932\) | − | 25.2970i | − | 0.828632i | ||||||
\(933\) | −28.4191 | − | 31.5944i | −0.930400 | − | 1.03435i | ||||
\(934\) | 4.36636 | − | 16.2955i | 0.142872 | − | 0.533204i | ||||
\(935\) | 0.371223 | + | 0.642978i | 0.0121403 | + | 0.0210276i | ||||
\(936\) | 10.5387 | − | 2.43625i | 0.344469 | − | 0.0796314i | ||||
\(937\) | 2.95014 | 0.0963768 | 0.0481884 | − | 0.998838i | \(-0.484655\pi\) | ||||
0.0481884 | + | 0.998838i | \(0.484655\pi\) | |||||||
\(938\) | −11.5993 | + | 23.2273i | −0.378731 | + | 0.758400i | ||||
\(939\) | −6.78733 | + | 20.8538i | −0.221496 | + | 0.680537i | ||||
\(940\) | −7.85883 | − | 4.53730i | −0.256327 | − | 0.147990i | ||||
\(941\) | −3.15063 | + | 11.7583i | −0.102707 | + | 0.383310i | −0.998075 | − | 0.0620184i | \(-0.980246\pi\) |
0.895368 | + | 0.445328i | \(0.146913\pi\) | |||||||
\(942\) | −7.42468 | − | 4.82693i | −0.241909 | − | 0.157270i | ||||
\(943\) | −78.0975 | + | 20.9262i | −2.54321 | + | 0.681450i | ||||
\(944\) | 3.67872 | − | 3.67872i | 0.119732 | − | 0.119732i | ||||
\(945\) | 22.0353 | + | 48.6275i | 0.716807 | + | 1.58185i | ||||
\(946\) | − | 18.9234i | − | 0.615252i | ||||||
\(947\) | −1.58817 | − | 5.92713i | −0.0516086 | − | 0.192606i | 0.935309 | − | 0.353832i | \(-0.115122\pi\) |
−0.986917 | + | 0.161227i | \(0.948455\pi\) | |||||||
\(948\) | 5.48278 | + | 25.8580i | 0.178072 | + | 0.839830i | ||||
\(949\) | 20.6727 | − | 7.14797i | 0.671063 | − | 0.232033i | ||||
\(950\) | 13.4337 | + | 7.75595i | 0.435847 | + | 0.251636i | ||||
\(951\) | 38.0134 | − | 19.3449i | 1.23267 | − | 0.627300i | ||||
\(952\) | 0.202022 | − | 0.228050i | 0.00654758 | − | 0.00739115i | ||||
\(953\) | 5.71882 | 0.185251 | 0.0926254 | − | 0.995701i | \(-0.470474\pi\) | ||||
0.0926254 | + | 0.995701i | \(0.470474\pi\) | |||||||
\(954\) | −4.06453 | + | 10.5569i | −0.131594 | + | 0.341792i | ||||
\(955\) | −11.6512 | − | 3.12194i | −0.377025 | − | 0.101024i | ||||
\(956\) | 25.4422 | + | 6.81721i | 0.822858 | + | 0.220484i | ||||
\(957\) | 0.754954 | − | 14.2688i | 0.0244042 | − | 0.461246i | ||||
\(958\) | −27.1100 | −0.875883 | ||||||||
\(959\) | 11.8928 | − | 13.4251i | 0.384039 | − | 0.433518i | ||||
\(960\) | 3.05061 | + | 5.99457i | 0.0984581 | + | 0.193474i | ||||
\(961\) | −26.5840 | − | 15.3483i | −0.857549 | − | 0.495106i | ||||
\(962\) | 11.0902 | + | 5.39137i | 0.357562 | + | 0.173825i | ||||
\(963\) | −8.92668 | − | 0.947259i | −0.287658 | − | 0.0305250i | ||||
\(964\) | −3.37308 | − | 12.5885i | −0.108640 | − | 0.405449i | ||||
\(965\) | − | 67.6749i | − | 2.17853i | ||||||
\(966\) | 28.9753 | + | 16.4371i | 0.932264 | + | 0.528854i | ||||
\(967\) | −10.7665 | + | 10.7665i | −0.346227 | + | 0.346227i | −0.858702 | − | 0.512475i | \(-0.828729\pi\) |
0.512475 | + | 0.858702i | \(0.328729\pi\) | |||||||
\(968\) | 7.96250 | − | 2.13355i | 0.255925 | − | 0.0685748i | ||||
\(969\) | −0.167288 | + | 0.257318i | −0.00537405 | + | 0.00826626i | ||||
\(970\) | −6.07793 | + | 22.6831i | −0.195150 | + | 0.728312i | ||||
\(971\) | 15.6521 | + | 9.03674i | 0.502300 | + | 0.290003i | 0.729663 | − | 0.683807i | \(-0.239677\pi\) |
−0.227363 | + | 0.973810i | \(0.573010\pi\) | |||||||
\(972\) | 0.0389785 | − | 15.5884i | 0.00125024 | − | 0.499998i | ||||
\(973\) | 19.4321 | − | 38.9123i | 0.622964 | − | 1.24747i | ||||
\(974\) | −12.1783 | −0.390217 | ||||||||
\(975\) | −61.0939 | − | 15.1813i | −1.95657 | − | 0.486191i | ||||
\(976\) | −2.22068 | − | 3.84633i | −0.0710821 | − | 0.123118i | ||||
\(977\) | 3.67117 | − | 13.7010i | 0.117451 | − | 0.438334i | −0.882007 | − | 0.471235i | \(-0.843808\pi\) |
0.999459 | + | 0.0329019i | \(0.0104749\pi\) | |||||||
\(978\) | 1.95852 | − | 1.76169i | 0.0626265 | − | 0.0563325i | ||||
\(979\) | 0.0812343i | 0.00259626i | ||||||||
\(980\) | 26.9140 | + | 3.81767i | 0.859736 | + | 0.121951i | ||||
\(981\) | 25.5715 | − | 4.02391i | 0.816434 | − | 0.128474i | ||||
\(982\) | 14.9460 | − | 4.00477i | 0.476946 | − | 0.127797i | ||||
\(983\) | 25.8374 | + | 6.92310i | 0.824084 | + | 0.220813i | 0.646131 | − | 0.763227i | \(-0.276386\pi\) |
0.177953 | + | 0.984039i | \(0.443053\pi\) | |||||||
\(984\) | 18.8453 | − | 3.99584i | 0.600766 | − | 0.127383i | ||||
\(985\) | −63.2040 | − | 36.4909i | −2.01385 | − | 1.16270i | ||||
\(986\) | 0.404580 | − | 0.404580i | 0.0128844 | − | 0.0128844i | ||||
\(987\) | 10.7082 | − | 0.0812369i | 0.340847 | − | 0.00258580i | ||||
\(988\) | −1.05165 | + | 5.44772i | −0.0334574 | + | 0.173315i | ||||
\(989\) | 71.7536 | + | 41.4269i | 2.28163 | + | 1.31730i | ||||
\(990\) | 15.0442 | − | 12.1577i | 0.478136 | − | 0.386396i | ||||
\(991\) | 15.0508 | + | 26.0687i | 0.478104 | + | 0.828101i | 0.999685 | − | 0.0251009i | \(-0.00799072\pi\) |
−0.521581 | + | 0.853202i | \(0.674657\pi\) | |||||||
\(992\) | 0.275411 | − | 0.477025i | 0.00874430 | − | 0.0151456i | ||||
\(993\) | −10.9045 | − | 21.4277i | −0.346042 | − | 0.679987i | ||||
\(994\) | 23.3008 | − | 15.4010i | 0.739055 | − | 0.488490i | ||||
\(995\) | −2.67286 | + | 2.67286i | −0.0847354 | + | 0.0847354i | ||||
\(996\) | 8.35472 | + | 0.442042i | 0.264729 | + | 0.0140066i | ||||
\(997\) | 17.5485 | + | 30.3949i | 0.555766 | + | 0.962615i | 0.997843 | + | 0.0656381i | \(0.0209083\pi\) |
−0.442078 | + | 0.896977i | \(0.645758\pi\) | |||||||
\(998\) | 8.81094 | + | 15.2610i | 0.278906 | + | 0.483079i | ||||
\(999\) | 11.2045 | − | 13.7940i | 0.354494 | − | 0.436423i |
(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 | 546.2.bv.a.317.17 | ✓ | 144 | |
3.2 | odd | 2 | inner | 546.2.bv.a.317.23 | yes | 144 | |
7.4 | even | 3 | inner | 546.2.bv.a.473.23 | yes | 144 | |
13.8 | odd | 4 | inner | 546.2.bv.a.359.17 | yes | 144 | |
21.11 | odd | 6 | inner | 546.2.bv.a.473.17 | yes | 144 | |
39.8 | even | 4 | inner | 546.2.bv.a.359.23 | yes | 144 | |
91.60 | odd | 12 | inner | 546.2.bv.a.515.23 | yes | 144 | |
273.242 | even | 12 | inner | 546.2.bv.a.515.17 | yes | 144 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
546.2.bv.a.317.17 | ✓ | 144 | 1.1 | even | 1 | trivial | |
546.2.bv.a.317.23 | yes | 144 | 3.2 | odd | 2 | inner | |
546.2.bv.a.359.17 | yes | 144 | 13.8 | odd | 4 | inner | |
546.2.bv.a.359.23 | yes | 144 | 39.8 | even | 4 | inner | |
546.2.bv.a.473.17 | yes | 144 | 21.11 | odd | 6 | inner | |
546.2.bv.a.473.23 | yes | 144 | 7.4 | even | 3 | inner | |
546.2.bv.a.515.17 | yes | 144 | 273.242 | even | 12 | inner | |
546.2.bv.a.515.23 | yes | 144 | 91.60 | odd | 12 | inner |