Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [170,2,Mod(9,170)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(170, base_ring=CyclotomicField(8))
chi = DirichletCharacter(H, H._module([4, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("170.9");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 170 = 2 \cdot 5 \cdot 17 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 170.n (of order \(8\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.35745683436\) |
Analytic rank: | \(0\) |
Dimension: | \(20\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{8})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{20} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{20} - 16 x^{15} + 52 x^{14} + 992 x^{13} + 6181 x^{12} + 8952 x^{11} + 6244 x^{10} - 11448 x^{9} - 14520 x^{8} + 27936 x^{7} + 27880 x^{6} - 121104 x^{5} + 187460 x^{4} + \cdots + 2048 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 2 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{8}]$ |
Embedding invariants
Embedding label | 59.5 | ||
Root | \(-0.969032 + 2.33945i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 170.59 |
Dual form | 170.2.n.b.49.5 |
$q$-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 \(\left(\mathbb{Z}/170\mathbb{Z}\right)^\times\).
\(n\) | \(71\) | \(137\) |
\(\chi(n)\) | \(e\left(\frac{5}{8}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.707107 | − | 0.707107i | −0.500000 | − | 0.500000i | ||||
\(3\) | 2.33945 | + | 0.969032i | 1.35068 | + | 0.559471i | 0.936482 | − | 0.350715i | \(-0.114062\pi\) |
0.414200 | + | 0.910186i | \(0.364062\pi\) | |||||||
\(4\) | 1.00000i | 0.500000i | ||||||||
\(5\) | −1.78490 | + | 1.34690i | −0.798230 | + | 0.602353i | ||||
\(6\) | −0.969032 | − | 2.33945i | −0.395606 | − | 0.955076i | ||||
\(7\) | 1.26758 | + | 3.06021i | 0.479100 | + | 1.15665i | 0.960032 | + | 0.279891i | \(0.0902984\pi\) |
−0.480932 | + | 0.876758i | \(0.659702\pi\) | |||||||
\(8\) | 0.707107 | − | 0.707107i | 0.250000 | − | 0.250000i | ||||
\(9\) | 2.41268 | + | 2.41268i | 0.804227 | + | 0.804227i | ||||
\(10\) | 2.21452 | + | 0.309710i | 0.700291 | + | 0.0979388i | ||||
\(11\) | −0.949504 | − | 2.29231i | −0.286286 | − | 0.691156i | 0.713670 | − | 0.700482i | \(-0.247032\pi\) |
−0.999957 | + | 0.00932562i | \(0.997032\pi\) | |||||||
\(12\) | −0.969032 | + | 2.33945i | −0.279735 | + | 0.675341i | ||||
\(13\) | 0.777809 | 0.215725 | 0.107863 | − | 0.994166i | \(-0.465599\pi\) | ||||
0.107863 | + | 0.994166i | \(0.465599\pi\) | |||||||
\(14\) | 1.26758 | − | 3.06021i | 0.338775 | − | 0.817874i | ||||
\(15\) | −5.48087 | + | 1.42139i | −1.41515 | + | 0.367000i | ||||
\(16\) | −1.00000 | −0.250000 | ||||||||
\(17\) | −4.04502 | − | 0.798615i | −0.981062 | − | 0.193693i | ||||
\(18\) | − | 3.41205i | − | 0.804227i | ||||||
\(19\) | 4.13806 | − | 4.13806i | 0.949337 | − | 0.949337i | −0.0494400 | − | 0.998777i | \(-0.515744\pi\) |
0.998777 | + | 0.0494400i | \(0.0157437\pi\) | |||||||
\(20\) | −1.34690 | − | 1.78490i | −0.301176 | − | 0.399115i | ||||
\(21\) | 8.38752i | 1.83031i | ||||||||
\(22\) | −0.949504 | + | 2.29231i | −0.202435 | + | 0.488721i | ||||
\(23\) | 7.45510 | − | 3.08800i | 1.55450 | − | 0.643893i | 0.570373 | − | 0.821386i | \(-0.306799\pi\) |
0.984122 | + | 0.177493i | \(0.0567986\pi\) | |||||||
\(24\) | 2.33945 | − | 0.969032i | 0.477538 | − | 0.197803i | ||||
\(25\) | 1.37171 | − | 4.80816i | 0.274343 | − | 0.961632i | ||||
\(26\) | −0.549994 | − | 0.549994i | −0.107863 | − | 0.107863i | ||||
\(27\) | 0.399286 | + | 0.963960i | 0.0768425 | + | 0.185514i | ||||
\(28\) | −3.06021 | + | 1.26758i | −0.578324 | + | 0.239550i | ||||
\(29\) | 0.319339 | + | 0.132275i | 0.0592998 | + | 0.0245628i | 0.412136 | − | 0.911122i | \(-0.364783\pi\) |
−0.352836 | + | 0.935685i | \(0.614783\pi\) | |||||||
\(30\) | 4.88063 | + | 2.87049i | 0.891077 | + | 0.524077i | ||||
\(31\) | −0.719461 | + | 1.73693i | −0.129219 | + | 0.311962i | −0.975226 | − | 0.221209i | \(-0.929000\pi\) |
0.846008 | + | 0.533171i | \(0.179000\pi\) | |||||||
\(32\) | 0.707107 | + | 0.707107i | 0.125000 | + | 0.125000i | ||||
\(33\) | − | 6.28283i | − | 1.09370i | ||||||
\(34\) | 2.29556 | + | 3.42497i | 0.393685 | + | 0.587377i | ||||
\(35\) | −6.38429 | − | 3.75485i | −1.07914 | − | 0.634685i | ||||
\(36\) | −2.41268 | + | 2.41268i | −0.402113 | + | 0.402113i | ||||
\(37\) | −4.26699 | − | 1.76745i | −0.701489 | − | 0.290566i | 0.00328857 | − | 0.999995i | \(-0.498953\pi\) |
−0.704778 | + | 0.709428i | \(0.748953\pi\) | |||||||
\(38\) | −5.85211 | −0.949337 | ||||||||
\(39\) | 1.81964 | + | 0.753721i | 0.291376 | + | 0.120692i | ||||
\(40\) | −0.309710 | + | 2.21452i | −0.0489694 | + | 0.350146i | ||||
\(41\) | 2.17392 | − | 0.900466i | 0.339509 | − | 0.140629i | −0.206414 | − | 0.978465i | \(-0.566179\pi\) |
0.545923 | + | 0.837836i | \(0.316179\pi\) | |||||||
\(42\) | 5.93087 | − | 5.93087i | 0.915153 | − | 0.915153i | ||||
\(43\) | −8.03592 | + | 8.03592i | −1.22547 | + | 1.22547i | −0.259805 | + | 0.965661i | \(0.583658\pi\) |
−0.965661 | + | 0.259805i | \(0.916342\pi\) | |||||||
\(44\) | 2.29231 | − | 0.949504i | 0.345578 | − | 0.143143i | ||||
\(45\) | −7.55603 | − | 1.05674i | −1.12639 | − | 0.157530i | ||||
\(46\) | −7.45510 | − | 3.08800i | −1.09919 | − | 0.455301i | ||||
\(47\) | −9.25971 | −1.35067 | −0.675334 | − | 0.737512i | \(-0.736000\pi\) | ||||
−0.675334 | + | 0.737512i | \(0.736000\pi\) | |||||||
\(48\) | −2.33945 | − | 0.969032i | −0.337670 | − | 0.139868i | ||||
\(49\) | −2.80835 | + | 2.80835i | −0.401193 | + | 0.401193i | ||||
\(50\) | −4.36983 | + | 2.42993i | −0.617987 | + | 0.343645i | ||||
\(51\) | −8.68924 | − | 5.78807i | −1.21674 | − | 0.810493i | ||||
\(52\) | 0.777809i | 0.107863i | ||||||||
\(53\) | 2.98917 | + | 2.98917i | 0.410594 | + | 0.410594i | 0.881945 | − | 0.471352i | \(-0.156234\pi\) |
−0.471352 | + | 0.881945i | \(0.656234\pi\) | |||||||
\(54\) | 0.399286 | − | 0.963960i | 0.0543359 | − | 0.131178i | ||||
\(55\) | 4.78228 | + | 2.81264i | 0.644842 | + | 0.379256i | ||||
\(56\) | 3.06021 | + | 1.26758i | 0.408937 | + | 0.169387i | ||||
\(57\) | 13.6907 | − | 5.67088i | 1.81338 | − | 0.751126i | ||||
\(58\) | −0.132275 | − | 0.319339i | −0.0173685 | − | 0.0419313i | ||||
\(59\) | −9.06612 | − | 9.06612i | −1.18031 | − | 1.18031i | −0.979664 | − | 0.200644i | \(-0.935697\pi\) |
−0.200644 | − | 0.979664i | \(-0.564303\pi\) | |||||||
\(60\) | −1.42139 | − | 5.48087i | −0.183500 | − | 0.707577i | ||||
\(61\) | 12.7953 | − | 5.29999i | 1.63827 | − | 0.678595i | 0.642151 | − | 0.766579i | \(-0.278042\pi\) |
0.996122 | + | 0.0879839i | \(0.0280424\pi\) | |||||||
\(62\) | 1.73693 | − | 0.719461i | 0.220590 | − | 0.0913716i | ||||
\(63\) | −4.32504 | + | 10.4416i | −0.544903 | + | 1.31551i | ||||
\(64\) | − | 1.00000i | − | 0.125000i | ||||||
\(65\) | −1.38831 | + | 1.04763i | −0.172198 | + | 0.129943i | ||||
\(66\) | −4.44263 | + | 4.44263i | −0.546850 | + | 0.546850i | ||||
\(67\) | − | 0.862303i | − | 0.105347i | −0.998612 | − | 0.0526736i | \(-0.983226\pi\) | ||
0.998612 | − | 0.0526736i | \(-0.0167743\pi\) | |||||||
\(68\) | 0.798615 | − | 4.04502i | 0.0968463 | − | 0.490531i | ||||
\(69\) | 20.4332 | 2.45987 | ||||||||
\(70\) | 1.85930 | + | 7.16945i | 0.222229 | + | 0.856914i | ||||
\(71\) | −3.13819 | + | 7.57626i | −0.372435 | + | 0.899137i | 0.620902 | + | 0.783888i | \(0.286767\pi\) |
−0.993337 | + | 0.115249i | \(0.963233\pi\) | |||||||
\(72\) | 3.41205 | 0.402113 | ||||||||
\(73\) | −3.75104 | + | 9.05580i | −0.439026 | + | 1.05990i | 0.537260 | + | 0.843417i | \(0.319459\pi\) |
−0.976286 | + | 0.216485i | \(0.930541\pi\) | |||||||
\(74\) | 1.76745 | + | 4.26699i | 0.205461 | + | 0.496028i | ||||
\(75\) | 7.86831 | − | 9.91921i | 0.908555 | − | 1.14537i | ||||
\(76\) | 4.13806 | + | 4.13806i | 0.474669 | + | 0.474669i | ||||
\(77\) | 5.81136 | − | 5.81136i | 0.662265 | − | 0.662265i | ||||
\(78\) | −0.753721 | − | 1.81964i | −0.0853421 | − | 0.206034i | ||||
\(79\) | 3.33195 | + | 8.04403i | 0.374873 | + | 0.905024i | 0.992909 | + | 0.118874i | \(0.0379286\pi\) |
−0.618036 | + | 0.786150i | \(0.712071\pi\) | |||||||
\(80\) | 1.78490 | − | 1.34690i | 0.199558 | − | 0.150588i | ||||
\(81\) | − | 7.59408i | − | 0.843787i | ||||||
\(82\) | −2.17392 | − | 0.900466i | −0.240069 | − | 0.0994399i | ||||
\(83\) | 2.56072 | + | 2.56072i | 0.281075 | + | 0.281075i | 0.833538 | − | 0.552462i | \(-0.186312\pi\) |
−0.552462 | + | 0.833538i | \(0.686312\pi\) | |||||||
\(84\) | −8.38752 | −0.915153 | ||||||||
\(85\) | 8.29560 | − | 4.02280i | 0.899785 | − | 0.436334i | ||||
\(86\) | 11.3645 | 1.22547 | ||||||||
\(87\) | 0.618900 | + | 0.618900i | 0.0663530 | + | 0.0663530i | ||||
\(88\) | −2.29231 | − | 0.949504i | −0.244361 | − | 0.101217i | ||||
\(89\) | 3.67668i | 0.389728i | 0.980830 | + | 0.194864i | \(0.0624265\pi\) | ||||
−0.980830 | + | 0.194864i | \(0.937574\pi\) | |||||||
\(90\) | 4.59569 | + | 6.09015i | 0.484428 | + | 0.641958i | ||||
\(91\) | 0.985934 | + | 2.38025i | 0.103354 | + | 0.249519i | ||||
\(92\) | 3.08800 | + | 7.45510i | 0.321947 | + | 0.777248i | ||||
\(93\) | −3.36628 | + | 3.36628i | −0.349067 | + | 0.349067i | ||||
\(94\) | 6.54760 | + | 6.54760i | 0.675334 | + | 0.675334i | ||||
\(95\) | −1.81245 | + | 12.9596i | −0.185954 | + | 1.32963i | ||||
\(96\) | 0.969032 | + | 2.33945i | 0.0989014 | + | 0.238769i | ||||
\(97\) | 1.05015 | − | 2.53530i | 0.106627 | − | 0.257420i | −0.861556 | − | 0.507662i | \(-0.830510\pi\) |
0.968183 | + | 0.250241i | \(0.0805100\pi\) | |||||||
\(98\) | 3.97161 | 0.401193 | ||||||||
\(99\) | 3.23975 | − | 7.82145i | 0.325607 | − | 0.786086i | ||||
\(100\) | 4.80816 | + | 1.37171i | 0.480816 | + | 0.137171i | ||||
\(101\) | −9.51804 | −0.947080 | −0.473540 | − | 0.880772i | \(-0.657024\pi\) | ||||
−0.473540 | + | 0.880772i | \(0.657024\pi\) | |||||||
\(102\) | 2.05144 | + | 10.2370i | 0.203123 | + | 1.01362i | ||||
\(103\) | − | 12.8896i | − | 1.27005i | −0.772490 | − | 0.635027i | \(-0.780989\pi\) | ||
0.772490 | − | 0.635027i | \(-0.219011\pi\) | |||||||
\(104\) | 0.549994 | − | 0.549994i | 0.0539313 | − | 0.0539313i | ||||
\(105\) | −11.2972 | − | 14.9709i | −1.10249 | − | 1.46101i | ||||
\(106\) | − | 4.22732i | − | 0.410594i | ||||||
\(107\) | 1.95011 | − | 4.70799i | 0.188525 | − | 0.455139i | −0.801151 | − | 0.598462i | \(-0.795779\pi\) |
0.989676 | + | 0.143323i | \(0.0457788\pi\) | |||||||
\(108\) | −0.963960 | + | 0.399286i | −0.0927571 | + | 0.0384213i | ||||
\(109\) | 0.169155 | − | 0.0700661i | 0.0162021 | − | 0.00671112i | −0.374568 | − | 0.927200i | \(-0.622209\pi\) |
0.390770 | + | 0.920488i | \(0.372209\pi\) | |||||||
\(110\) | −1.39274 | − | 5.37042i | −0.132793 | − | 0.512049i | ||||
\(111\) | −8.26970 | − | 8.26970i | −0.784925 | − | 0.784925i | ||||
\(112\) | −1.26758 | − | 3.06021i | −0.119775 | − | 0.289162i | ||||
\(113\) | 11.1347 | − | 4.61213i | 1.04746 | − | 0.433873i | 0.208477 | − | 0.978027i | \(-0.433149\pi\) |
0.838985 | + | 0.544154i | \(0.183149\pi\) | |||||||
\(114\) | −13.6907 | − | 5.67088i | −1.28225 | − | 0.531126i | ||||
\(115\) | −9.14734 | + | 15.5530i | −0.852994 | + | 1.45033i | ||||
\(116\) | −0.132275 | + | 0.319339i | −0.0122814 | + | 0.0296499i | ||||
\(117\) | 1.87660 | + | 1.87660i | 0.173492 | + | 0.173492i | ||||
\(118\) | 12.8214i | 1.18031i | ||||||||
\(119\) | −2.68346 | − | 13.3909i | −0.245992 | − | 1.22754i | ||||
\(120\) | −2.87049 | + | 4.88063i | −0.262038 | + | 0.445538i | ||||
\(121\) | 3.42507 | − | 3.42507i | 0.311370 | − | 0.311370i | ||||
\(122\) | −12.7953 | − | 5.29999i | −1.15843 | − | 0.479839i | ||||
\(123\) | 5.95835 | 0.537246 | ||||||||
\(124\) | −1.73693 | − | 0.719461i | −0.155981 | − | 0.0646095i | ||||
\(125\) | 4.02775 | + | 10.4296i | 0.360253 | + | 0.932855i | ||||
\(126\) | 10.4416 | − | 4.32504i | 0.930208 | − | 0.385305i | ||||
\(127\) | −13.6948 | + | 13.6948i | −1.21522 | + | 1.21522i | −0.245934 | + | 0.969286i | \(0.579095\pi\) |
−0.969286 | + | 0.245934i | \(0.920905\pi\) | |||||||
\(128\) | −0.707107 | + | 0.707107i | −0.0625000 | + | 0.0625000i | ||||
\(129\) | −26.5867 | + | 11.0126i | −2.34083 | + | 0.969602i | ||||
\(130\) | 1.72247 | + | 0.240895i | 0.151071 | + | 0.0211279i | ||||
\(131\) | 6.17744 | + | 2.55878i | 0.539725 | + | 0.223561i | 0.635857 | − | 0.771807i | \(-0.280647\pi\) |
−0.0961315 | + | 0.995369i | \(0.530647\pi\) | |||||||
\(132\) | 6.28283 | 0.546850 | ||||||||
\(133\) | 17.9086 | + | 7.41801i | 1.55288 | + | 0.643223i | ||||
\(134\) | −0.609741 | + | 0.609741i | −0.0526736 | + | 0.0526736i | ||||
\(135\) | −2.01104 | − | 1.18277i | −0.173083 | − | 0.101797i | ||||
\(136\) | −3.42497 | + | 2.29556i | −0.293689 | + | 0.196842i | ||||
\(137\) | 2.17815i | 0.186092i | 0.995662 | + | 0.0930461i | \(0.0296604\pi\) | ||||
−0.995662 | + | 0.0930461i | \(0.970340\pi\) | |||||||
\(138\) | −14.4485 | − | 14.4485i | −1.22993 | − | 1.22993i | ||||
\(139\) | 3.84818 | − | 9.29033i | 0.326398 | − | 0.787995i | −0.672456 | − | 0.740137i | \(-0.734761\pi\) |
0.998854 | − | 0.0478580i | \(-0.0152395\pi\) | |||||||
\(140\) | 3.75485 | − | 6.38429i | 0.317343 | − | 0.539571i | ||||
\(141\) | −21.6626 | − | 8.97295i | −1.82432 | − | 0.755659i | ||||
\(142\) | 7.57626 | − | 3.13819i | 0.635786 | − | 0.263351i | ||||
\(143\) | −0.738533 | − | 1.78298i | −0.0617592 | − | 0.149100i | ||||
\(144\) | −2.41268 | − | 2.41268i | −0.201057 | − | 0.201057i | ||||
\(145\) | −0.748149 | + | 0.194022i | −0.0621304 | + | 0.0161126i | ||||
\(146\) | 9.05580 | − | 3.75104i | 0.749464 | − | 0.310438i | ||||
\(147\) | −9.29139 | + | 3.84862i | −0.766341 | + | 0.317429i | ||||
\(148\) | 1.76745 | − | 4.26699i | 0.145283 | − | 0.350745i | ||||
\(149\) | 12.2117i | 1.00043i | 0.865903 | + | 0.500213i | \(0.166745\pi\) | ||||
−0.865903 | + | 0.500213i | \(0.833255\pi\) | |||||||
\(150\) | −12.5777 | + | 1.45021i | −1.02696 | + | 0.118409i | ||||
\(151\) | −8.45256 | + | 8.45256i | −0.687860 | + | 0.687860i | −0.961759 | − | 0.273899i | \(-0.911687\pi\) |
0.273899 | + | 0.961759i | \(0.411687\pi\) | |||||||
\(152\) | − | 5.85211i | − | 0.474669i | ||||||
\(153\) | −7.83255 | − | 11.6862i | −0.633224 | − | 0.944769i | ||||
\(154\) | −8.21850 | −0.662265 | ||||||||
\(155\) | −1.05531 | − | 4.06929i | −0.0847647 | − | 0.326853i | ||||
\(156\) | −0.753721 | + | 1.81964i | −0.0603460 | + | 0.145688i | ||||
\(157\) | 8.98017 | 0.716696 | 0.358348 | − | 0.933588i | \(-0.383340\pi\) | ||||
0.358348 | + | 0.933588i | \(0.383340\pi\) | |||||||
\(158\) | 3.33195 | − | 8.04403i | 0.265075 | − | 0.639949i | ||||
\(159\) | 4.09641 | + | 9.88961i | 0.324866 | + | 0.784297i | ||||
\(160\) | −2.21452 | − | 0.309710i | −0.175073 | − | 0.0244847i | ||||
\(161\) | 18.8998 | + | 18.8998i | 1.48952 | + | 1.48952i | ||||
\(162\) | −5.36983 | + | 5.36983i | −0.421893 | + | 0.421893i | ||||
\(163\) | −4.06748 | − | 9.81976i | −0.318589 | − | 0.769143i | −0.999329 | − | 0.0366176i | \(-0.988342\pi\) |
0.680740 | − | 0.732525i | \(-0.261658\pi\) | |||||||
\(164\) | 0.900466 | + | 2.17392i | 0.0703146 | + | 0.169754i | ||||
\(165\) | 8.46236 | + | 11.2142i | 0.658794 | + | 0.873025i | ||||
\(166\) | − | 3.62140i | − | 0.281075i | ||||||
\(167\) | −4.96753 | − | 2.05762i | −0.384399 | − | 0.159223i | 0.182111 | − | 0.983278i | \(-0.441707\pi\) |
−0.566510 | + | 0.824055i | \(0.691707\pi\) | |||||||
\(168\) | 5.93087 | + | 5.93087i | 0.457577 | + | 0.457577i | ||||
\(169\) | −12.3950 | −0.953463 | ||||||||
\(170\) | −8.71043 | − | 3.02133i | −0.668059 | − | 0.231725i | ||||
\(171\) | 19.9677 | 1.52696 | ||||||||
\(172\) | −8.03592 | − | 8.03592i | −0.612733 | − | 0.612733i | ||||
\(173\) | 3.90622 | + | 1.61801i | 0.296985 | + | 0.123015i | 0.526201 | − | 0.850361i | \(-0.323616\pi\) |
−0.229216 | + | 0.973376i | \(0.573616\pi\) | |||||||
\(174\) | − | 0.875257i | − | 0.0663530i | ||||||
\(175\) | 16.4527 | − | 1.89700i | 1.24371 | − | 0.143399i | ||||
\(176\) | 0.949504 | + | 2.29231i | 0.0715716 | + | 0.172789i | ||||
\(177\) | −12.4244 | − | 29.9951i | −0.933873 | − | 2.25457i | ||||
\(178\) | 2.59981 | − | 2.59981i | 0.194864 | − | 0.194864i | ||||
\(179\) | 3.76205 | + | 3.76205i | 0.281189 | + | 0.281189i | 0.833583 | − | 0.552394i | \(-0.186286\pi\) |
−0.552394 | + | 0.833583i | \(0.686286\pi\) | |||||||
\(180\) | 1.05674 | − | 7.55603i | 0.0787650 | − | 0.563193i | ||||
\(181\) | −6.05136 | − | 14.6093i | −0.449794 | − | 1.08590i | −0.972399 | − | 0.233324i | \(-0.925040\pi\) |
0.522605 | − | 0.852575i | \(-0.324960\pi\) | |||||||
\(182\) | 0.985934 | − | 2.38025i | 0.0730823 | − | 0.176436i | ||||
\(183\) | 35.0699 | 2.59244 | ||||||||
\(184\) | 3.08800 | − | 7.45510i | 0.227651 | − | 0.549597i | ||||
\(185\) | 9.99671 | − | 2.59251i | 0.734973 | − | 0.190605i | ||||
\(186\) | 4.76064 | 0.349067 | ||||||||
\(187\) | 2.01010 | + | 10.0307i | 0.146993 | + | 0.733519i | ||||
\(188\) | − | 9.25971i | − | 0.675334i | ||||||
\(189\) | −2.44379 | + | 2.44379i | −0.177760 | + | 0.177760i | ||||
\(190\) | 10.4454 | − | 7.88221i | 0.757789 | − | 0.571836i | ||||
\(191\) | 26.3384i | 1.90578i | 0.303318 | + | 0.952890i | \(0.401906\pi\) | ||||
−0.303318 | + | 0.952890i | \(0.598094\pi\) | |||||||
\(192\) | 0.969032 | − | 2.33945i | 0.0699338 | − | 0.168835i | ||||
\(193\) | −12.6427 | + | 5.23679i | −0.910044 | + | 0.376953i | −0.788074 | − | 0.615581i | \(-0.788921\pi\) |
−0.121971 | + | 0.992534i | \(0.538921\pi\) | |||||||
\(194\) | −2.53530 | + | 1.05015i | −0.182024 | + | 0.0753967i | ||||
\(195\) | −4.26307 | + | 1.10557i | −0.305285 | + | 0.0791713i | ||||
\(196\) | −2.80835 | − | 2.80835i | −0.200597 | − | 0.200597i | ||||
\(197\) | −2.48851 | − | 6.00780i | −0.177299 | − | 0.428038i | 0.810099 | − | 0.586293i | \(-0.199413\pi\) |
−0.987398 | + | 0.158255i | \(0.949413\pi\) | |||||||
\(198\) | −7.82145 | + | 3.23975i | −0.555846 | + | 0.230239i | ||||
\(199\) | −10.2616 | − | 4.25049i | −0.727424 | − | 0.301309i | −0.0119313 | − | 0.999929i | \(-0.503798\pi\) |
−0.715493 | + | 0.698620i | \(0.753798\pi\) | |||||||
\(200\) | −2.42993 | − | 4.36983i | −0.171822 | − | 0.308994i | ||||
\(201\) | 0.835599 | − | 2.01732i | 0.0589386 | − | 0.142290i | ||||
\(202\) | 6.73027 | + | 6.73027i | 0.473540 | + | 0.473540i | ||||
\(203\) | 1.14491i | 0.0803571i | ||||||||
\(204\) | 5.78807 | − | 8.68924i | 0.405246 | − | 0.608369i | ||||
\(205\) | −2.66738 | + | 4.53529i | −0.186298 | + | 0.316759i | ||||
\(206\) | −9.11435 | + | 9.11435i | −0.635027 | + | 0.635027i | ||||
\(207\) | 25.4371 | + | 10.5364i | 1.76800 | + | 0.732331i | ||||
\(208\) | −0.777809 | −0.0539313 | ||||||||
\(209\) | −13.4148 | − | 5.55660i | −0.927922 | − | 0.384358i | ||||
\(210\) | −2.59769 | + | 18.5743i | −0.179258 | + | 1.28175i | ||||
\(211\) | −4.39176 | + | 1.81913i | −0.302342 | + | 0.125234i | −0.528697 | − | 0.848811i | \(-0.677319\pi\) |
0.226355 | + | 0.974045i | \(0.427319\pi\) | |||||||
\(212\) | −2.98917 | + | 2.98917i | −0.205297 | + | 0.205297i | ||||
\(213\) | −14.6833 | + | 14.6833i | −1.00608 | + | 1.00608i | ||||
\(214\) | −4.70799 | + | 1.95011i | −0.321832 | + | 0.133307i | ||||
\(215\) | 3.51969 | − | 25.1669i | 0.240041 | − | 1.71637i | ||||
\(216\) | 0.963960 | + | 0.399286i | 0.0655892 | + | 0.0271679i | ||||
\(217\) | −6.22734 | −0.422739 | ||||||||
\(218\) | −0.169155 | − | 0.0700661i | −0.0114566 | − | 0.00474548i | ||||
\(219\) | −17.5507 | + | 17.5507i | −1.18597 | + | 1.18597i | ||||
\(220\) | −2.81264 | + | 4.78228i | −0.189628 | + | 0.322421i | ||||
\(221\) | −3.14626 | − | 0.621170i | −0.211640 | − | 0.0417844i | ||||
\(222\) | 11.6951i | 0.784925i | ||||||||
\(223\) | −13.4824 | − | 13.4824i | −0.902845 | − | 0.902845i | 0.0928360 | − | 0.995681i | \(-0.470407\pi\) |
−0.995681 | + | 0.0928360i | \(0.970407\pi\) | |||||||
\(224\) | −1.26758 | + | 3.06021i | −0.0846937 | + | 0.204469i | ||||
\(225\) | 14.9101 | − | 8.29105i | 0.994004 | − | 0.552737i | ||||
\(226\) | −11.1347 | − | 4.61213i | −0.740667 | − | 0.306794i | ||||
\(227\) | −16.6070 | + | 6.87885i | −1.10225 | + | 0.456565i | −0.858261 | − | 0.513214i | \(-0.828455\pi\) |
−0.243985 | + | 0.969779i | \(0.578455\pi\) | |||||||
\(228\) | 5.67088 | + | 13.6907i | 0.375563 | + | 0.906689i | ||||
\(229\) | 0.797989 | + | 0.797989i | 0.0527326 | + | 0.0527326i | 0.732981 | − | 0.680249i | \(-0.238128\pi\) |
−0.680249 | + | 0.732981i | \(0.738128\pi\) | |||||||
\(230\) | 17.4658 | − | 4.52952i | 1.15166 | − | 0.298667i | ||||
\(231\) | 19.2268 | − | 7.96398i | 1.26503 | − | 0.523992i | ||||
\(232\) | 0.319339 | − | 0.132275i | 0.0209657 | − | 0.00868426i | ||||
\(233\) | −8.55988 | + | 20.6654i | −0.560776 | + | 1.35383i | 0.348370 | + | 0.937357i | \(0.386735\pi\) |
−0.909146 | + | 0.416477i | \(0.863265\pi\) | |||||||
\(234\) | − | 2.65392i | − | 0.173492i | ||||||
\(235\) | 16.5276 | − | 12.4719i | 1.07814 | − | 0.813578i | ||||
\(236\) | 9.06612 | − | 9.06612i | 0.590154 | − | 0.590154i | ||||
\(237\) | 22.0474i | 1.43213i | ||||||||
\(238\) | −7.57131 | + | 11.3663i | −0.490775 | + | 0.736768i | ||||
\(239\) | −11.2657 | −0.728714 | −0.364357 | − | 0.931259i | \(-0.618711\pi\) | ||||
−0.364357 | + | 0.931259i | \(0.618711\pi\) | |||||||
\(240\) | 5.48087 | − | 1.42139i | 0.353788 | − | 0.0917501i | ||||
\(241\) | −0.166358 | + | 0.401624i | −0.0107161 | + | 0.0258709i | −0.929147 | − | 0.369710i | \(-0.879457\pi\) |
0.918431 | + | 0.395581i | \(0.129457\pi\) | |||||||
\(242\) | −4.84378 | −0.311370 | ||||||||
\(243\) | 8.55676 | − | 20.6578i | 0.548916 | − | 1.32520i | ||||
\(244\) | 5.29999 | + | 12.7953i | 0.339297 | + | 0.819136i | ||||
\(245\) | 1.23005 | − | 8.79520i | 0.0785848 | − | 0.561905i | ||||
\(246\) | −4.21319 | − | 4.21319i | −0.268623 | − | 0.268623i | ||||
\(247\) | 3.21862 | − | 3.21862i | 0.204796 | − | 0.204796i | ||||
\(248\) | 0.719461 | + | 1.73693i | 0.0456858 | + | 0.110295i | ||||
\(249\) | 3.50926 | + | 8.47209i | 0.222390 | + | 0.536897i | ||||
\(250\) | 4.52681 | − | 10.2229i | 0.286301 | − | 0.646554i | ||||
\(251\) | − | 23.8942i | − | 1.50819i | −0.656767 | − | 0.754094i | \(-0.728077\pi\) | ||
0.656767 | − | 0.754094i | \(-0.271923\pi\) | |||||||
\(252\) | −10.4416 | − | 4.32504i | −0.657757 | − | 0.272452i | ||||
\(253\) | −14.1573 | − | 14.1573i | −0.890061 | − | 0.890061i | ||||
\(254\) | 19.3674 | 1.21522 | ||||||||
\(255\) | 23.3054 | − | 1.37244i | 1.45944 | − | 0.0859455i | ||||
\(256\) | 1.00000 | 0.0625000 | ||||||||
\(257\) | 20.7578 | + | 20.7578i | 1.29483 | + | 1.29483i | 0.931761 | + | 0.363073i | \(0.118273\pi\) |
0.363073 | + | 0.931761i | \(0.381727\pi\) | |||||||
\(258\) | 26.5867 | + | 11.0126i | 1.65521 | + | 0.685612i | ||||
\(259\) | − | 15.2982i | − | 0.950587i | ||||||
\(260\) | −1.04763 | − | 1.38831i | −0.0649714 | − | 0.0860992i | ||||
\(261\) | 0.451327 | + | 1.08960i | 0.0279365 | + | 0.0674446i | ||||
\(262\) | −2.55878 | − | 6.17744i | −0.158082 | − | 0.381643i | ||||
\(263\) | −14.2208 | + | 14.2208i | −0.876892 | + | 0.876892i | −0.993212 | − | 0.116320i | \(-0.962890\pi\) |
0.116320 | + | 0.993212i | \(0.462890\pi\) | |||||||
\(264\) | −4.44263 | − | 4.44263i | −0.273425 | − | 0.273425i | ||||
\(265\) | −9.36147 | − | 1.30924i | −0.575071 | − | 0.0804261i | ||||
\(266\) | −7.41801 | − | 17.9086i | −0.454827 | − | 1.09805i | ||||
\(267\) | −3.56282 | + | 8.60141i | −0.218041 | + | 0.526398i | ||||
\(268\) | 0.862303 | 0.0526736 | ||||||||
\(269\) | 1.10168 | − | 2.65969i | 0.0671707 | − | 0.162164i | −0.886729 | − | 0.462289i | \(-0.847028\pi\) |
0.953900 | + | 0.300125i | \(0.0970283\pi\) | |||||||
\(270\) | 0.585676 | + | 2.25837i | 0.0356431 | + | 0.137440i | ||||
\(271\) | 18.7793 | 1.14076 | 0.570380 | − | 0.821381i | \(-0.306796\pi\) | ||||
0.570380 | + | 0.821381i | \(0.306796\pi\) | |||||||
\(272\) | 4.04502 | + | 0.798615i | 0.245266 | + | 0.0484231i | ||||
\(273\) | 6.52389i | 0.394844i | ||||||||
\(274\) | 1.54019 | − | 1.54019i | 0.0930461 | − | 0.0930461i | ||||
\(275\) | −12.3242 | + | 1.42098i | −0.743178 | + | 0.0856884i | ||||
\(276\) | 20.4332i | 1.22993i | ||||||||
\(277\) | 3.35394 | − | 8.09712i | 0.201519 | − | 0.486509i | −0.790521 | − | 0.612435i | \(-0.790190\pi\) |
0.992040 | + | 0.125926i | \(0.0401902\pi\) | |||||||
\(278\) | −9.29033 | + | 3.84818i | −0.557197 | + | 0.230798i | ||||
\(279\) | −5.92649 | + | 2.45483i | −0.354810 | + | 0.146967i | ||||
\(280\) | −7.16945 | + | 1.85930i | −0.428457 | + | 0.111114i | ||||
\(281\) | 21.5263 | + | 21.5263i | 1.28415 | + | 1.28415i | 0.938284 | + | 0.345866i | \(0.112415\pi\) |
0.345866 | + | 0.938284i | \(0.387585\pi\) | |||||||
\(282\) | 8.97295 | + | 21.6626i | 0.534332 | + | 1.28999i | ||||
\(283\) | 8.83075 | − | 3.65782i | 0.524934 | − | 0.217435i | −0.104449 | − | 0.994530i | \(-0.533308\pi\) |
0.629383 | + | 0.777096i | \(0.283308\pi\) | |||||||
\(284\) | −7.57626 | − | 3.13819i | −0.449569 | − | 0.186217i | ||||
\(285\) | −16.7984 | + | 28.5620i | −0.995051 | + | 1.69186i | ||||
\(286\) | −0.738533 | + | 1.78298i | −0.0436704 | + | 0.105430i | ||||
\(287\) | 5.51122 | + | 5.51122i | 0.325317 | + | 0.325317i | ||||
\(288\) | 3.41205i | 0.201057i | ||||||||
\(289\) | 15.7244 | + | 6.46083i | 0.924966 | + | 0.380049i | ||||
\(290\) | 0.666215 | + | 0.391827i | 0.0391215 | + | 0.0230089i | ||||
\(291\) | 4.91357 | − | 4.91357i | 0.288038 | − | 0.288038i | ||||
\(292\) | −9.05580 | − | 3.75104i | −0.529951 | − | 0.219513i | ||||
\(293\) | −5.34949 | −0.312521 | −0.156260 | − | 0.987716i | \(-0.549944\pi\) | ||||
−0.156260 | + | 0.987716i | \(0.549944\pi\) | |||||||
\(294\) | 9.29139 | + | 3.84862i | 0.541885 | + | 0.224456i | ||||
\(295\) | 28.3933 | + | 3.97092i | 1.65312 | + | 0.231196i | ||||
\(296\) | −4.26699 | + | 1.76745i | −0.248014 | + | 0.102731i | ||||
\(297\) | 1.83057 | − | 1.83057i | 0.106220 | − | 0.106220i | ||||
\(298\) | 8.63501 | − | 8.63501i | 0.500213 | − | 0.500213i | ||||
\(299\) | 5.79864 | − | 2.40188i | 0.335344 | − | 0.138904i | ||||
\(300\) | 9.91921 | + | 7.86831i | 0.572686 | + | 0.454277i | ||||
\(301\) | −34.7777 | − | 14.4054i | −2.00455 | − | 0.830313i | ||||
\(302\) | 11.9537 | 0.687860 | ||||||||
\(303\) | −22.2670 | − | 9.22328i | −1.27920 | − | 0.529864i | ||||
\(304\) | −4.13806 | + | 4.13806i | −0.237334 | + | 0.237334i | ||||
\(305\) | −15.6998 | + | 26.6940i | −0.898965 | + | 1.52849i | ||||
\(306\) | −2.72491 | + | 13.8018i | −0.155773 | + | 0.788997i | ||||
\(307\) | − | 19.6367i | − | 1.12073i | −0.828247 | − | 0.560363i | \(-0.810662\pi\) | ||
0.828247 | − | 0.560363i | \(-0.189338\pi\) | |||||||
\(308\) | 5.81136 | + | 5.81136i | 0.331133 | + | 0.331133i | ||||
\(309\) | 12.4905 | − | 30.1547i | 0.710558 | − | 1.71544i | ||||
\(310\) | −2.13120 | + | 3.62364i | −0.121044 | + | 0.205809i | ||||
\(311\) | 12.6908 | + | 5.25670i | 0.719629 | + | 0.298080i | 0.712283 | − | 0.701893i | \(-0.247661\pi\) |
0.00734657 | + | 0.999973i | \(0.497661\pi\) | |||||||
\(312\) | 1.81964 | − | 0.753721i | 0.103017 | − | 0.0426711i | ||||
\(313\) | 2.35732 | + | 5.69107i | 0.133244 | + | 0.321678i | 0.976393 | − | 0.216001i | \(-0.0693013\pi\) |
−0.843150 | + | 0.537679i | \(0.819301\pi\) | |||||||
\(314\) | −6.34994 | − | 6.34994i | −0.358348 | − | 0.358348i | ||||
\(315\) | −6.34401 | − | 24.4625i | −0.357444 | − | 1.37831i | ||||
\(316\) | −8.04403 | + | 3.33195i | −0.452512 | + | 0.187437i | ||||
\(317\) | 4.69756 | − | 1.94579i | 0.263841 | − | 0.109287i | −0.246842 | − | 0.969056i | \(-0.579393\pi\) |
0.510683 | + | 0.859769i | \(0.329393\pi\) | |||||||
\(318\) | 4.09641 | − | 9.88961i | 0.229715 | − | 0.554582i | ||||
\(319\) | − | 0.857619i | − | 0.0480174i | ||||||
\(320\) | 1.34690 | + | 1.78490i | 0.0752941 | + | 0.0997788i | ||||
\(321\) | 9.12439 | − | 9.12439i | 0.509274 | − | 0.509274i | ||||
\(322\) | − | 26.7284i | − | 1.48952i | ||||||
\(323\) | −20.0433 | + | 13.4338i | −1.11524 | + | 0.747479i | ||||
\(324\) | 7.59408 | 0.421893 | ||||||||
\(325\) | 1.06693 | − | 3.73983i | 0.0591827 | − | 0.207448i | ||||
\(326\) | −4.06748 | + | 9.81976i | −0.225277 | + | 0.543866i | ||||
\(327\) | 0.463625 | 0.0256385 | ||||||||
\(328\) | 0.900466 | − | 2.17392i | 0.0497199 | − | 0.120035i | ||||
\(329\) | −11.7374 | − | 28.3366i | −0.647104 | − | 1.56225i | ||||
\(330\) | 1.94585 | − | 13.9134i | 0.107116 | − | 0.765909i | ||||
\(331\) | 2.30132 | + | 2.30132i | 0.126492 | + | 0.126492i | 0.767519 | − | 0.641027i | \(-0.221491\pi\) |
−0.641027 | + | 0.767519i | \(0.721491\pi\) | |||||||
\(332\) | −2.56072 | + | 2.56072i | −0.140538 | + | 0.140538i | ||||
\(333\) | −6.03061 | − | 14.5592i | −0.330475 | − | 0.797838i | ||||
\(334\) | 2.05762 | + | 4.96753i | 0.112588 | + | 0.271811i | ||||
\(335\) | 1.16144 | + | 1.53912i | 0.0634561 | + | 0.0840913i | ||||
\(336\) | − | 8.38752i | − | 0.457577i | ||||||
\(337\) | 5.37723 | + | 2.22732i | 0.292917 | + | 0.121330i | 0.524303 | − | 0.851532i | \(-0.324326\pi\) |
−0.231386 | + | 0.972862i | \(0.574326\pi\) | |||||||
\(338\) | 8.76460 | + | 8.76460i | 0.476731 | + | 0.476731i | ||||
\(339\) | 30.5183 | 1.65753 | ||||||||
\(340\) | 4.02280 | + | 8.29560i | 0.218167 | + | 0.449892i | ||||
\(341\) | 4.66471 | 0.252608 | ||||||||
\(342\) | −14.1193 | − | 14.1193i | −0.763482 | − | 0.763482i | ||||
\(343\) | 9.26749 | + | 3.83872i | 0.500397 | + | 0.207271i | ||||
\(344\) | 11.3645i | 0.612733i | ||||||||
\(345\) | −36.4711 | + | 27.5215i | −1.96354 | + | 1.48171i | ||||
\(346\) | −1.61801 | − | 3.90622i | −0.0869848 | − | 0.210000i | ||||
\(347\) | −4.68855 | − | 11.3192i | −0.251695 | − | 0.607645i | 0.746646 | − | 0.665221i | \(-0.231663\pi\) |
−0.998341 | + | 0.0575764i | \(0.981663\pi\) | |||||||
\(348\) | −0.618900 | + | 0.618900i | −0.0331765 | + | 0.0331765i | ||||
\(349\) | −4.08452 | − | 4.08452i | −0.218640 | − | 0.218640i | 0.589285 | − | 0.807925i | \(-0.299409\pi\) |
−0.807925 | + | 0.589285i | \(0.799409\pi\) | |||||||
\(350\) | −12.9752 | − | 10.2924i | −0.693554 | − | 0.550154i | ||||
\(351\) | 0.310568 | + | 0.749777i | 0.0165769 | + | 0.0400201i | ||||
\(352\) | 0.949504 | − | 2.29231i | 0.0506087 | − | 0.122180i | ||||
\(353\) | −12.5280 | −0.666797 | −0.333398 | − | 0.942786i | \(-0.608195\pi\) | ||||
−0.333398 | + | 0.942786i | \(0.608195\pi\) | |||||||
\(354\) | −12.4244 | + | 29.9951i | −0.660348 | + | 1.59422i | ||||
\(355\) | −4.60313 | − | 17.7497i | −0.244309 | − | 0.942055i | ||||
\(356\) | −3.67668 | −0.194864 | ||||||||
\(357\) | 6.69840 | − | 33.9277i | 0.354517 | − | 1.79564i | ||||
\(358\) | − | 5.32034i | − | 0.281189i | ||||||
\(359\) | −4.29559 | + | 4.29559i | −0.226713 | + | 0.226713i | −0.811318 | − | 0.584605i | \(-0.801249\pi\) |
0.584605 | + | 0.811318i | \(0.301249\pi\) | |||||||
\(360\) | −6.09015 | + | 4.59569i | −0.320979 | + | 0.242214i | ||||
\(361\) | − | 15.2472i | − | 0.802482i | ||||||
\(362\) | −6.05136 | + | 14.6093i | −0.318052 | + | 0.767847i | ||||
\(363\) | 11.3318 | − | 4.69377i | 0.594764 | − | 0.246359i | ||||
\(364\) | −2.38025 | + | 0.985934i | −0.124759 | + | 0.0516770i | ||||
\(365\) | −5.50206 | − | 21.2160i | −0.287991 | − | 1.11049i | ||||
\(366\) | −24.7981 | − | 24.7981i | −1.29622 | − | 1.29622i | ||||
\(367\) | −3.76510 | − | 9.08975i | −0.196536 | − | 0.474481i | 0.794632 | − | 0.607092i | \(-0.207664\pi\) |
−0.991168 | + | 0.132611i | \(0.957664\pi\) | |||||||
\(368\) | −7.45510 | + | 3.08800i | −0.388624 | + | 0.160973i | ||||
\(369\) | 7.41751 | + | 3.07243i | 0.386140 | + | 0.159944i | ||||
\(370\) | −8.90192 | − | 5.23556i | −0.462789 | − | 0.272184i | ||||
\(371\) | −5.35846 | + | 12.9365i | −0.278198 | + | 0.671628i | ||||
\(372\) | −3.36628 | − | 3.36628i | −0.174534 | − | 0.174534i | ||||
\(373\) | − | 10.2057i | − | 0.528431i | −0.964464 | − | 0.264215i | \(-0.914887\pi\) | ||
0.964464 | − | 0.264215i | \(-0.0851130\pi\) | |||||||
\(374\) | 5.67144 | − | 8.51414i | 0.293263 | − | 0.440256i | ||||
\(375\) | −0.683924 | + | 28.3026i | −0.0353177 | + | 1.46154i | ||||
\(376\) | −6.54760 | + | 6.54760i | −0.337667 | + | 0.337667i | ||||
\(377\) | 0.248385 | + | 0.102884i | 0.0127925 | + | 0.00529882i | ||||
\(378\) | 3.45604 | 0.177760 | ||||||||
\(379\) | 20.4751 | + | 8.48108i | 1.05174 | + | 0.435644i | 0.840512 | − | 0.541793i | \(-0.182254\pi\) |
0.211226 | + | 0.977437i | \(0.432254\pi\) | |||||||
\(380\) | −12.9596 | − | 1.81245i | −0.664813 | − | 0.0929769i | ||||
\(381\) | −45.3091 | + | 18.7677i | −2.32126 | + | 0.961496i | ||||
\(382\) | 18.6241 | − | 18.6241i | 0.952890 | − | 0.952890i | ||||
\(383\) | 7.19636 | − | 7.19636i | 0.367717 | − | 0.367717i | −0.498927 | − | 0.866644i | \(-0.666273\pi\) |
0.866644 | + | 0.498927i | \(0.166273\pi\) | |||||||
\(384\) | −2.33945 | + | 0.969032i | −0.119385 | + | 0.0494507i | ||||
\(385\) | −2.54535 | + | 18.2000i | −0.129723 | + | 0.927558i | ||||
\(386\) | 12.6427 | + | 5.23679i | 0.643498 | + | 0.266546i | ||||
\(387\) | −38.7762 | −1.97111 | ||||||||
\(388\) | 2.53530 | + | 1.05015i | 0.128710 | + | 0.0533135i | ||||
\(389\) | −6.49707 | + | 6.49707i | −0.329414 | + | 0.329414i | −0.852364 | − | 0.522949i | \(-0.824832\pi\) |
0.522949 | + | 0.852364i | \(0.324832\pi\) | |||||||
\(390\) | 3.79620 | + | 2.23269i | 0.192228 | + | 0.113057i | ||||
\(391\) | −32.6222 | + | 6.53729i | −1.64977 | + | 0.330605i | ||||
\(392\) | 3.97161i | 0.200597i | ||||||||
\(393\) | 11.9723 | + | 11.9723i | 0.603921 | + | 0.603921i | ||||
\(394\) | −2.48851 | + | 6.00780i | −0.125370 | + | 0.302669i | ||||
\(395\) | −16.7817 | − | 9.86996i | −0.844379 | − | 0.496612i | ||||
\(396\) | 7.82145 | + | 3.23975i | 0.393043 | + | 0.162804i | ||||
\(397\) | −23.5614 | + | 9.75944i | −1.18251 | + | 0.489812i | −0.885309 | − | 0.465003i | \(-0.846053\pi\) |
−0.297202 | + | 0.954815i | \(0.596053\pi\) | |||||||
\(398\) | 4.25049 | + | 10.2616i | 0.213058 | + | 0.514367i | ||||
\(399\) | 34.7081 | + | 34.7081i | 1.73758 | + | 1.73758i | ||||
\(400\) | −1.37171 | + | 4.80816i | −0.0685857 | + | 0.240408i | ||||
\(401\) | 33.7790 | − | 13.9917i | 1.68684 | − | 0.698712i | 0.687226 | − | 0.726444i | \(-0.258828\pi\) |
0.999615 | + | 0.0277317i | \(0.00882842\pi\) | |||||||
\(402\) | −2.01732 | + | 0.835599i | −0.100615 | + | 0.0416759i | ||||
\(403\) | −0.559603 | + | 1.35100i | −0.0278758 | + | 0.0672981i | ||||
\(404\) | − | 9.51804i | − | 0.473540i | ||||||
\(405\) | 10.2285 | + | 13.5547i | 0.508257 | + | 0.673536i | ||||
\(406\) | 0.809575 | − | 0.809575i | 0.0401786 | − | 0.0401786i | ||||
\(407\) | 11.4594i | 0.568024i | ||||||||
\(408\) | −10.2370 | + | 2.05144i | −0.506808 | + | 0.101561i | ||||
\(409\) | −14.9024 | −0.736875 | −0.368438 | − | 0.929652i | \(-0.620107\pi\) | ||||
−0.368438 | + | 0.929652i | \(0.620107\pi\) | |||||||
\(410\) | 5.09306 | − | 1.32081i | 0.251528 | − | 0.0652303i | ||||
\(411\) | −2.11070 | + | 5.09568i | −0.104113 | + | 0.251351i | ||||
\(412\) | 12.8896 | 0.635027 | ||||||||
\(413\) | 16.2522 | − | 39.2362i | 0.799717 | − | 1.93069i | ||||
\(414\) | −10.5364 | − | 25.4371i | −0.517836 | − | 1.25017i | ||||
\(415\) | −8.01966 | − | 1.12158i | −0.393669 | − | 0.0550564i | ||||
\(416\) | 0.549994 | + | 0.549994i | 0.0269657 | + | 0.0269657i | ||||
\(417\) | 18.0052 | − | 18.0052i | 0.881720 | − | 0.881720i | ||||
\(418\) | 5.55660 | + | 13.4148i | 0.271782 | + | 0.656140i | ||||
\(419\) | 0.678866 | + | 1.63893i | 0.0331648 | + | 0.0800668i | 0.939594 | − | 0.342291i | \(-0.111203\pi\) |
−0.906429 | + | 0.422357i | \(0.861203\pi\) | |||||||
\(420\) | 14.9709 | − | 11.2972i | 0.730503 | − | 0.551245i | ||||
\(421\) | 25.1213i | 1.22434i | 0.790728 | + | 0.612168i | \(0.209702\pi\) | ||||
−0.790728 | + | 0.612168i | \(0.790298\pi\) | |||||||
\(422\) | 4.39176 | + | 1.81913i | 0.213788 | + | 0.0885538i | ||||
\(423\) | −22.3407 | − | 22.3407i | −1.08624 | − | 1.08624i | ||||
\(424\) | 4.22732 | 0.205297 | ||||||||
\(425\) | −9.38848 | + | 18.3536i | −0.455408 | + | 0.890283i | ||||
\(426\) | 20.7653 | 1.00608 | ||||||||
\(427\) | 32.4381 | + | 32.4381i | 1.56979 | + | 1.56979i | ||||
\(428\) | 4.70799 | + | 1.95011i | 0.227569 | + | 0.0942623i | ||||
\(429\) | − | 4.88684i | − | 0.235939i | ||||||
\(430\) | −20.2845 | + | 15.3069i | −0.978204 | + | 0.738163i | ||||
\(431\) | −8.98389 | − | 21.6890i | −0.432739 | − | 1.04472i | −0.978400 | − | 0.206718i | \(-0.933722\pi\) |
0.545662 | − | 0.838006i | \(-0.316278\pi\) | |||||||
\(432\) | −0.399286 | − | 0.963960i | −0.0192106 | − | 0.0463786i | ||||
\(433\) | 20.4541 | − | 20.4541i | 0.982961 | − | 0.982961i | −0.0168966 | − | 0.999857i | \(-0.505379\pi\) |
0.999857 | + | 0.0168966i | \(0.00537861\pi\) | |||||||
\(434\) | 4.40339 | + | 4.40339i | 0.211370 | + | 0.211370i | ||||
\(435\) | −1.93827 | − | 0.271075i | −0.0929329 | − | 0.0129971i | ||||
\(436\) | 0.0700661 | + | 0.169155i | 0.00335556 | + | 0.00810103i | ||||
\(437\) | 18.0713 | − | 43.6280i | 0.864468 | − | 2.08701i | ||||
\(438\) | 24.8205 | 1.18597 | ||||||||
\(439\) | −0.391020 | + | 0.944005i | −0.0186624 | + | 0.0450549i | −0.932936 | − | 0.360042i | \(-0.882762\pi\) |
0.914274 | + | 0.405097i | \(0.132762\pi\) | |||||||
\(440\) | 5.37042 | − | 1.39274i | 0.256025 | − | 0.0663964i | ||||
\(441\) | −13.5513 | −0.645301 | ||||||||
\(442\) | 1.78551 | + | 2.66397i | 0.0849278 | + | 0.126712i | ||||
\(443\) | − | 23.1860i | − | 1.10160i | −0.834637 | − | 0.550801i | \(-0.814322\pi\) | ||
0.834637 | − | 0.550801i | \(-0.185678\pi\) | |||||||
\(444\) | 8.26970 | − | 8.26970i | 0.392463 | − | 0.392463i | ||||
\(445\) | −4.95213 | − | 6.56250i | −0.234753 | − | 0.311092i | ||||
\(446\) | 19.0669i | 0.902845i | ||||||||
\(447\) | −11.8336 | + | 28.5688i | −0.559709 | + | 1.35126i | ||||
\(448\) | 3.06021 | − | 1.26758i | 0.144581 | − | 0.0598875i | ||||
\(449\) | 25.7449 | − | 10.6639i | 1.21498 | − | 0.503259i | 0.319166 | − | 0.947699i | \(-0.396597\pi\) |
0.895809 | + | 0.444440i | \(0.146597\pi\) | |||||||
\(450\) | −16.4057 | − | 4.68035i | −0.773370 | − | 0.220634i | ||||
\(451\) | −4.12829 | − | 4.12829i | −0.194393 | − | 0.194393i | ||||
\(452\) | 4.61213 | + | 11.1347i | 0.216936 | + | 0.523731i | ||||
\(453\) | −27.9651 | + | 11.5835i | −1.31392 | + | 0.544242i | ||||
\(454\) | 16.6070 | + | 6.87885i | 0.779405 | + | 0.322840i | ||||
\(455\) | −4.96576 | − | 2.92055i | −0.232798 | − | 0.136918i | ||||
\(456\) | 5.67088 | − | 13.6907i | 0.265563 | − | 0.641126i | ||||
\(457\) | 21.7244 | + | 21.7244i | 1.01623 | + | 1.01623i | 0.999866 | + | 0.0163596i | \(0.00520767\pi\) |
0.0163596 | + | 0.999866i | \(0.494792\pi\) | |||||||
\(458\) | − | 1.12853i | − | 0.0527326i | ||||||
\(459\) | −0.845286 | − | 4.21812i | −0.0394546 | − | 0.196885i | ||||
\(460\) | −15.5530 | − | 9.14734i | −0.725165 | − | 0.426497i | ||||
\(461\) | 2.37157 | − | 2.37157i | 0.110455 | − | 0.110455i | −0.649719 | − | 0.760174i | \(-0.725114\pi\) |
0.760174 | + | 0.649719i | \(0.225114\pi\) | |||||||
\(462\) | −19.2268 | − | 7.96398i | −0.894510 | − | 0.370518i | ||||
\(463\) | −25.7516 | −1.19678 | −0.598389 | − | 0.801206i | \(-0.704192\pi\) | ||||
−0.598389 | + | 0.801206i | \(0.704192\pi\) | |||||||
\(464\) | −0.319339 | − | 0.132275i | −0.0148250 | − | 0.00614070i | ||||
\(465\) | 1.47442 | − | 10.5425i | 0.0683744 | − | 0.488898i | ||||
\(466\) | 20.6654 | − | 8.55988i | 0.957305 | − | 0.396529i | ||||
\(467\) | −9.24427 | + | 9.24427i | −0.427774 | + | 0.427774i | −0.887869 | − | 0.460096i | \(-0.847815\pi\) |
0.460096 | + | 0.887869i | \(0.347815\pi\) | |||||||
\(468\) | −1.87660 | + | 1.87660i | −0.0867461 | + | 0.0867461i | ||||
\(469\) | 2.63883 | − | 1.09304i | 0.121850 | − | 0.0504718i | ||||
\(470\) | −20.5058 | − | 2.86782i | −0.945861 | − | 0.132283i | ||||
\(471\) | 21.0087 | + | 8.70207i | 0.968028 | + | 0.400970i | ||||
\(472\) | −12.8214 | −0.590154 | ||||||||
\(473\) | 26.0509 | + | 10.7906i | 1.19782 | + | 0.496154i | ||||
\(474\) | 15.5898 | − | 15.5898i | 0.716065 | − | 0.716065i | ||||
\(475\) | −14.2202 | − | 25.5727i | −0.652469 | − | 1.17336i | ||||
\(476\) | 13.3909 | − | 2.68346i | 0.613771 | − | 0.122996i | ||||
\(477\) | 14.4238i | 0.660421i | ||||||||
\(478\) | 7.96602 | + | 7.96602i | 0.364357 | + | 0.364357i | ||||
\(479\) | −10.0693 | + | 24.3093i | −0.460076 | + | 1.11072i | 0.508290 | + | 0.861186i | \(0.330278\pi\) |
−0.968366 | + | 0.249535i | \(0.919722\pi\) | |||||||
\(480\) | −4.88063 | − | 2.87049i | −0.222769 | − | 0.131019i | ||||
\(481\) | −3.31890 | − | 1.37473i | −0.151329 | − | 0.0626825i | ||||
\(482\) | 0.401624 | − | 0.166358i | 0.0182935 | − | 0.00757741i | ||||
\(483\) | 25.9007 | + | 62.5298i | 1.17852 | + | 2.84520i | ||||
\(484\) | 3.42507 | + | 3.42507i | 0.155685 | + | 0.155685i | ||||
\(485\) | 1.54038 | + | 5.93970i | 0.0699450 | + | 0.269708i | ||||
\(486\) | −20.6578 | + | 8.55676i | −0.937059 | + | 0.388143i | ||||
\(487\) | 19.0022 | − | 7.87096i | 0.861071 | − | 0.356667i | 0.0919445 | − | 0.995764i | \(-0.470692\pi\) |
0.769126 | + | 0.639097i | \(0.220692\pi\) | |||||||
\(488\) | 5.29999 | − | 12.7953i | 0.239919 | − | 0.579217i | ||||
\(489\) | − | 26.9143i | − | 1.21711i | ||||||
\(490\) | −7.08892 | + | 5.34937i | −0.320245 | + | 0.241660i | ||||
\(491\) | 2.44344 | − | 2.44344i | 0.110271 | − | 0.110271i | −0.649818 | − | 0.760089i | \(-0.725155\pi\) |
0.760089 | + | 0.649818i | \(0.225155\pi\) | |||||||
\(492\) | 5.95835i | 0.268623i | ||||||||
\(493\) | −1.18610 | − | 0.790083i | −0.0534192 | − | 0.0355836i | ||||
\(494\) | −4.55182 | −0.204796 | ||||||||
\(495\) | 4.75210 | + | 18.3241i | 0.213591 | + | 0.823608i | ||||
\(496\) | 0.719461 | − | 1.73693i | 0.0323047 | − | 0.0779905i | ||||
\(497\) | −27.1628 | −1.21842 | ||||||||
\(498\) | 3.50926 | − | 8.47209i | 0.157253 | − | 0.379643i | ||||
\(499\) | 2.11896 | + | 5.11563i | 0.0948579 | + | 0.229007i | 0.964185 | − | 0.265229i | \(-0.0854477\pi\) |
−0.869327 | + | 0.494237i | \(0.835448\pi\) | |||||||
\(500\) | −10.4296 | + | 4.02775i | −0.466427 | + | 0.180126i | ||||
\(501\) | −9.62739 | − | 9.62739i | −0.430120 | − | 0.430120i | ||||
\(502\) | −16.8957 | + | 16.8957i | −0.754094 | + | 0.754094i | ||||
\(503\) | 6.60394 | + | 15.9433i | 0.294455 | + | 0.710878i | 0.999998 | + | 0.00221001i | \(0.000703468\pi\) |
−0.705542 | + | 0.708668i | \(0.749297\pi\) | |||||||
\(504\) | 4.32504 | + | 10.4416i | 0.192652 | + | 0.465104i | ||||
\(505\) | 16.9887 | − | 12.8199i | 0.755988 | − | 0.570476i | ||||
\(506\) | 20.0214i | 0.890061i | ||||||||
\(507\) | −28.9975 | − | 12.0112i | −1.28782 | − | 0.533434i | ||||
\(508\) | −13.6948 | − | 13.6948i | −0.607610 | − | 0.607610i | ||||
\(509\) | −11.3910 | −0.504899 | −0.252450 | − | 0.967610i | \(-0.581236\pi\) | ||||
−0.252450 | + | 0.967610i | \(0.581236\pi\) | |||||||
\(510\) | −17.4498 | − | 15.5089i | −0.772692 | − | 0.686747i | ||||
\(511\) | −32.4674 | −1.43627 | ||||||||
\(512\) | −0.707107 | − | 0.707107i | −0.0312500 | − | 0.0312500i | ||||
\(513\) | 5.64120 | + | 2.33666i | 0.249065 | + | 0.103166i | ||||
\(514\) | − | 29.3559i | − | 1.29483i | ||||||
\(515\) | 17.3611 | + | 23.0067i | 0.765020 | + | 1.01379i | ||||
\(516\) | −11.0126 | − | 26.5867i | −0.484801 | − | 1.17041i | ||||
\(517\) | 8.79213 | + | 21.2261i | 0.386678 | + | 0.933522i | ||||
\(518\) | −10.8175 | + | 10.8175i | −0.475293 | + | 0.475293i | ||||
\(519\) | 7.57051 | + | 7.57051i | 0.332309 | + | 0.332309i | ||||
\(520\) | −0.240895 | + | 1.72247i | −0.0105639 | + | 0.0755353i | ||||
\(521\) | 14.4478 | + | 34.8802i | 0.632972 | + | 1.52813i | 0.835869 | + | 0.548929i | \(0.184964\pi\) |
−0.202897 | + | 0.979200i | \(0.565036\pi\) | |||||||
\(522\) | 0.451327 | − | 1.08960i | 0.0197541 | − | 0.0476905i | ||||
\(523\) | 17.2841 | 0.755782 | 0.377891 | − | 0.925850i | \(-0.376649\pi\) | ||||
0.377891 | + | 0.925850i | \(0.376649\pi\) | |||||||
\(524\) | −2.55878 | + | 6.17744i | −0.111781 | + | 0.269863i | ||||
\(525\) | 40.3285 | + | 11.5053i | 1.76008 | + | 0.502131i | ||||
\(526\) | 20.1112 | 0.876892 | ||||||||
\(527\) | 4.29737 | − | 6.45136i | 0.187197 | − | 0.281025i | ||||
\(528\) | 6.28283i | 0.273425i | ||||||||
\(529\) | 29.7793 | − | 29.7793i | 1.29475 | − | 1.29475i | ||||
\(530\) | 5.69379 | + | 7.54534i | 0.247322 | + | 0.327748i | ||||
\(531\) | − | 43.7473i | − | 1.89847i | ||||||
\(532\) | −7.41801 | + | 17.9086i | −0.321611 | + | 0.776438i | ||||
\(533\) | 1.69089 | − | 0.700391i | 0.0732407 | − | 0.0303373i | ||||
\(534\) | 8.60141 | − | 3.56282i | 0.372220 | − | 0.154178i | ||||
\(535\) | 2.86045 | + | 11.0299i | 0.123668 | + | 0.476864i | ||||
\(536\) | −0.609741 | − | 0.609741i | −0.0263368 | − | 0.0263368i | ||||
\(537\) | 5.15558 | + | 12.4467i | 0.222480 | + | 0.537113i | ||||
\(538\) | −2.65969 | + | 1.10168i | −0.114668 | + | 0.0474969i | ||||
\(539\) | 9.10415 | + | 3.77106i | 0.392144 | + | 0.162431i | ||||
\(540\) | 1.18277 | − | 2.01104i | 0.0508984 | − | 0.0865415i | ||||
\(541\) | −1.67743 | + | 4.04967i | −0.0721182 | + | 0.174109i | −0.955828 | − | 0.293926i | \(-0.905038\pi\) |
0.883710 | + | 0.468035i | \(0.155038\pi\) | |||||||
\(542\) | −13.2789 | − | 13.2789i | −0.570380 | − | 0.570380i | ||||
\(543\) | − | 40.0416i | − | 1.71835i | ||||||
\(544\) | −2.29556 | − | 3.42497i | −0.0984212 | − | 0.146844i | ||||
\(545\) | −0.207551 | + | 0.352895i | −0.00889052 | + | 0.0151164i | ||||
\(546\) | 4.61308 | − | 4.61308i | 0.197422 | − | 0.197422i | ||||
\(547\) | 11.6639 | + | 4.83135i | 0.498713 | + | 0.206574i | 0.617838 | − | 0.786306i | \(-0.288009\pi\) |
−0.119125 | + | 0.992879i | \(0.538009\pi\) | |||||||
\(548\) | −2.17815 | −0.0930461 | ||||||||
\(549\) | 43.6582 | + | 18.0838i | 1.86329 | + | 0.771799i | ||||
\(550\) | 9.71933 | + | 7.70975i | 0.414433 | + | 0.328745i | ||||
\(551\) | 1.86881 | − | 0.774086i | 0.0796139 | − | 0.0329772i | ||||
\(552\) | 14.4485 | − | 14.4485i | 0.614967 | − | 0.614967i | ||||
\(553\) | −20.3929 | + | 20.3929i | −0.867194 | + | 0.867194i | ||||
\(554\) | −8.09712 | + | 3.35394i | −0.344014 | + | 0.142495i | ||||
\(555\) | 25.8990 | + | 3.62209i | 1.09935 | + | 0.153749i | ||||
\(556\) | 9.29033 | + | 3.84818i | 0.393998 | + | 0.163199i | ||||
\(557\) | 33.3916 | 1.41485 | 0.707423 | − | 0.706790i | \(-0.249857\pi\) | ||||
0.707423 | + | 0.706790i | \(0.249857\pi\) | |||||||
\(558\) | 5.92649 | + | 2.45483i | 0.250888 | + | 0.103921i | ||||
\(559\) | −6.25041 | + | 6.25041i | −0.264364 | + | 0.264364i | ||||
\(560\) | 6.38429 | + | 3.75485i | 0.269786 | + | 0.158671i | ||||
\(561\) | −5.01756 | + | 25.4142i | −0.211842 | + | 1.07299i | ||||
\(562\) | − | 30.4428i | − | 1.28415i | ||||||
\(563\) | 3.53877 | + | 3.53877i | 0.149141 | + | 0.149141i | 0.777734 | − | 0.628593i | \(-0.216369\pi\) |
−0.628593 | + | 0.777734i | \(0.716369\pi\) | |||||||
\(564\) | 8.97295 | − | 21.6626i | 0.377829 | − | 0.912161i | ||||
\(565\) | −13.6622 | + | 23.2295i | −0.574771 | + | 0.977272i | ||||
\(566\) | −8.83075 | − | 3.65782i | −0.371184 | − | 0.153749i | ||||
\(567\) | 23.2394 | − | 9.62609i | 0.975965 | − | 0.404258i | ||||
\(568\) | 3.13819 | + | 7.57626i | 0.131676 | + | 0.317893i | ||||
\(569\) | −0.875778 | − | 0.875778i | −0.0367145 | − | 0.0367145i | 0.688511 | − | 0.725226i | \(-0.258265\pi\) |
−0.725226 | + | 0.688511i | \(0.758265\pi\) | |||||||
\(570\) | 32.0746 | − | 8.31810i | 1.34346 | − | 0.348407i | ||||
\(571\) | −21.1567 | + | 8.76339i | −0.885380 | + | 0.366736i | −0.778581 | − | 0.627544i | \(-0.784060\pi\) |
−0.106799 | + | 0.994281i | \(0.534060\pi\) | |||||||
\(572\) | 1.78298 | − | 0.738533i | 0.0745500 | − | 0.0308796i | ||||
\(573\) | −25.5227 | + | 61.6173i | −1.06623 | + | 2.57410i | ||||
\(574\) | − | 7.79405i | − | 0.325317i | ||||||
\(575\) | −4.62135 | − | 40.0812i | −0.192724 | − | 1.67150i | ||||
\(576\) | 2.41268 | − | 2.41268i | 0.100528 | − | 0.100528i | ||||
\(577\) | − | 8.94035i | − | 0.372192i | −0.982532 | − | 0.186096i | \(-0.940416\pi\) | ||
0.982532 | − | 0.186096i | \(-0.0595835\pi\) | |||||||
\(578\) | −6.55035 | − | 15.6873i | −0.272459 | − | 0.652508i | ||||
\(579\) | −34.6517 | −1.44007 | ||||||||
\(580\) | −0.194022 | − | 0.748149i | −0.00805632 | − | 0.0310652i | ||||
\(581\) | −4.59041 | + | 11.0822i | −0.190442 | + | 0.459769i | ||||
\(582\) | −6.94883 | −0.288038 | ||||||||
\(583\) | 4.01386 | − | 9.69032i | 0.166237 | − | 0.401332i | ||||
\(584\) | 3.75104 | + | 9.05580i | 0.155219 | + | 0.374732i | ||||
\(585\) | −5.87715 | − | 0.821944i | −0.242990 | − | 0.0339832i | ||||
\(586\) | 3.78266 | + | 3.78266i | 0.156260 | + | 0.156260i | ||||
\(587\) | 2.61621 | − | 2.61621i | 0.107983 | − | 0.107983i | −0.651051 | − | 0.759034i | \(-0.725672\pi\) |
0.759034 | + | 0.651051i | \(0.225672\pi\) | |||||||
\(588\) | −3.84862 | − | 9.29139i | −0.158714 | − | 0.383170i | ||||
\(589\) | 4.21036 | + | 10.1647i | 0.173485 | + | 0.418829i | ||||
\(590\) | −17.2692 | − | 22.8849i | −0.710962 | − | 0.942158i | ||||
\(591\) | − | 16.4664i | − | 0.677337i | ||||||
\(592\) | 4.26699 | + | 1.76745i | 0.175372 | + | 0.0726416i | ||||
\(593\) | −29.8060 | − | 29.8060i | −1.22399 | − | 1.22399i | −0.966202 | − | 0.257785i | \(-0.917007\pi\) |
−0.257785 | − | 0.966202i | \(-0.582993\pi\) | |||||||
\(594\) | −2.58882 | −0.106220 | ||||||||
\(595\) | 22.8259 | + | 20.2870i | 0.935772 | + | 0.831687i | ||||
\(596\) | −12.2117 | −0.500213 | ||||||||
\(597\) | −19.8876 | − | 19.8876i | −0.813945 | − | 0.813945i | ||||
\(598\) | −5.79864 | − | 2.40188i | −0.237124 | − | 0.0982200i | ||||
\(599\) | − | 18.0176i | − | 0.736178i | −0.929790 | − | 0.368089i | \(-0.880012\pi\) | ||
0.929790 | − | 0.368089i | \(-0.119988\pi\) | |||||||
\(600\) | −1.45021 | − | 12.5777i | −0.0592044 | − | 0.513482i | ||||
\(601\) | 3.49949 | + | 8.44852i | 0.142747 | + | 0.344622i | 0.979042 | − | 0.203657i | \(-0.0652829\pi\) |
−0.836295 | + | 0.548280i | \(0.815283\pi\) | |||||||
\(602\) | 14.4054 | + | 34.7777i | 0.587120 | + | 1.41743i | ||||
\(603\) | 2.08046 | − | 2.08046i | 0.0847230 | − | 0.0847230i | ||||
\(604\) | −8.45256 | − | 8.45256i | −0.343930 | − | 0.343930i | ||||
\(605\) | −1.50016 | + | 10.7266i | −0.0609903 | + | 0.436099i | ||||
\(606\) | 9.22328 | + | 22.2670i | 0.374670 | + | 0.904534i | ||||
\(607\) | −5.67532 | + | 13.7014i | −0.230354 | + | 0.556124i | −0.996219 | − | 0.0868777i | \(-0.972311\pi\) |
0.765865 | + | 0.643001i | \(0.222311\pi\) | |||||||
\(608\) | 5.85211 | 0.237334 | ||||||||
\(609\) | −1.10946 | + | 2.67847i | −0.0449574 | + | 0.108537i | ||||
\(610\) | 29.9769 | − | 7.77409i | 1.21373 | − | 0.314764i | ||||
\(611\) | −7.20228 | −0.291373 | ||||||||
\(612\) | 11.6862 | − | 7.83255i | 0.472385 | − | 0.316612i | ||||
\(613\) | − | 21.3405i | − | 0.861933i | −0.902368 | − | 0.430967i | \(-0.858173\pi\) | ||
0.902368 | − | 0.430967i | \(-0.141827\pi\) | |||||||
\(614\) | −13.8852 | + | 13.8852i | −0.560363 | + | 0.560363i | ||||
\(615\) | −10.6350 | + | 8.02531i | −0.428846 | + | 0.323612i | ||||
\(616\) | − | 8.21850i | − | 0.331133i | ||||||
\(617\) | 5.10375 | − | 12.3215i | 0.205469 | − | 0.496047i | −0.787230 | − | 0.616659i | \(-0.788486\pi\) |
0.992700 | + | 0.120612i | \(0.0384858\pi\) | |||||||
\(618\) | −30.1547 | + | 12.4905i | −1.21300 | + | 0.502440i | ||||
\(619\) | −15.1303 | + | 6.26719i | −0.608139 | + | 0.251900i | −0.665433 | − | 0.746458i | \(-0.731753\pi\) |
0.0572934 | + | 0.998357i | \(0.481753\pi\) | |||||||
\(620\) | 4.06929 | − | 1.05531i | 0.163426 | − | 0.0423824i | ||||
\(621\) | 5.95342 | + | 5.95342i | 0.238903 | + | 0.238903i | ||||
\(622\) | −5.25670 | − | 12.6908i | −0.210774 | − | 0.508855i | ||||
\(623\) | −11.2514 | + | 4.66048i | −0.450778 | + | 0.186718i | ||||
\(624\) | −1.81964 | − | 0.753721i | −0.0728441 | − | 0.0301730i | ||||
\(625\) | −21.2368 | − | 13.1908i | −0.849472 | − | 0.527633i | ||||
\(626\) | 2.35732 | − | 5.69107i | 0.0942174 | − | 0.227461i | ||||
\(627\) | −25.9988 | − | 25.9988i | −1.03829 | − | 1.03829i | ||||
\(628\) | 8.98017i | 0.358348i | ||||||||
\(629\) | 15.8486 | + | 10.5570i | 0.631924 | + | 0.420937i | ||||
\(630\) | −12.8117 | + | 21.7835i | −0.510431 | + | 0.867875i | ||||
\(631\) | 9.58945 | − | 9.58945i | 0.381750 | − | 0.381750i | −0.489982 | − | 0.871732i | \(-0.662997\pi\) |
0.871732 | + | 0.489982i | \(0.162997\pi\) | |||||||
\(632\) | 8.04403 | + | 3.33195i | 0.319974 | + | 0.132538i | ||||
\(633\) | −12.0371 | −0.478432 | ||||||||
\(634\) | −4.69756 | − | 1.94579i | −0.186564 | − | 0.0772773i | ||||
\(635\) | 5.99828 | − | 42.8895i | 0.238034 | − | 1.70202i | ||||
\(636\) | −9.88961 | + | 4.09641i | −0.392149 | + | 0.162433i | ||||
\(637\) | −2.18436 | + | 2.18436i | −0.0865476 | + | 0.0865476i | ||||
\(638\) | −0.606428 | + | 0.606428i | −0.0240087 | + | 0.0240087i | ||||
\(639\) | −25.8506 | + | 10.7077i | −1.02263 | + | 0.423588i | ||||
\(640\) | 0.309710 | − | 2.21452i | 0.0122423 | − | 0.0875364i | ||||
\(641\) | 22.9560 | + | 9.50869i | 0.906707 | + | 0.375571i | 0.786795 | − | 0.617214i | \(-0.211739\pi\) |
0.119912 | + | 0.992785i | \(0.461739\pi\) | |||||||
\(642\) | −12.9038 | −0.509274 | ||||||||
\(643\) | 6.62075 | + | 2.74240i | 0.261097 | + | 0.108150i | 0.509392 | − | 0.860535i | \(-0.329870\pi\) |
−0.248295 | + | 0.968684i | \(0.579870\pi\) | |||||||
\(644\) | −18.8998 | + | 18.8998i | −0.744758 | + | 0.744758i | ||||
\(645\) | 32.6216 | − | 55.4659i | 1.28448 | − | 2.18397i | ||||
\(646\) | 23.6719 | + | 4.67358i | 0.931359 | + | 0.183880i | ||||
\(647\) | 32.6880i | 1.28510i | 0.766244 | + | 0.642550i | \(0.222123\pi\) | ||||
−0.766244 | + | 0.642550i | \(0.777877\pi\) | |||||||
\(648\) | −5.36983 | − | 5.36983i | −0.210947 | − | 0.210947i | ||||
\(649\) | −12.1740 | + | 29.3906i | −0.477871 | + | 1.15368i | ||||
\(650\) | −3.39889 | + | 1.89002i | −0.133316 | + | 0.0741329i | ||||
\(651\) | −14.5685 | − | 6.03449i | −0.570986 | − | 0.236510i | ||||
\(652\) | 9.81976 | − | 4.06748i | 0.384571 | − | 0.159295i | ||||
\(653\) | −3.25759 | − | 7.86453i | −0.127480 | − | 0.307763i | 0.847234 | − | 0.531219i | \(-0.178266\pi\) |
−0.974714 | + | 0.223456i | \(0.928266\pi\) | |||||||
\(654\) | −0.327832 | − | 0.327832i | −0.0128193 | − | 0.0128193i | ||||
\(655\) | −14.4725 | + | 3.75324i | −0.565488 | + | 0.146651i | ||||
\(656\) | −2.17392 | + | 0.900466i | −0.0848772 | + | 0.0351573i | ||||
\(657\) | −30.8988 | + | 12.7987i | −1.20548 | + | 0.499325i | ||||
\(658\) | −11.7374 | + | 28.3366i | −0.457572 | + | 1.10468i | ||||
\(659\) | − | 10.0536i | − | 0.391632i | −0.980641 | − | 0.195816i | \(-0.937264\pi\) | ||
0.980641 | − | 0.195816i | \(-0.0627355\pi\) | |||||||
\(660\) | −11.2142 | + | 8.46236i | −0.436512 | + | 0.329397i | ||||
\(661\) | 19.9368 | − | 19.9368i | 0.775451 | − | 0.775451i | −0.203603 | − | 0.979054i | \(-0.565265\pi\) |
0.979054 | + | 0.203603i | \(0.0652650\pi\) | |||||||
\(662\) | − | 3.25455i | − | 0.126492i | ||||||
\(663\) | −6.75857 | − | 4.50202i | −0.262481 | − | 0.174844i | ||||
\(664\) | 3.62140 | 0.140538 | ||||||||
\(665\) | −41.9564 | + | 10.8808i | −1.62700 | + | 0.421940i | ||||
\(666\) | −6.03061 | + | 14.5592i | −0.233681 | + | 0.564156i | ||||
\(667\) | 2.78917 | 0.107997 | ||||||||
\(668\) | 2.05762 | − | 4.96753i | 0.0796116 | − | 0.192200i | ||||
\(669\) | −18.4765 | − | 44.6061i | −0.714341 | − | 1.72457i | ||||
\(670\) | 0.267064 | − | 1.90958i | 0.0103176 | − | 0.0737737i | ||||
\(671\) | −24.2984 | − | 24.2984i | −0.938030 | − | 0.938030i | ||||
\(672\) | −5.93087 | + | 5.93087i | −0.228788 | + | 0.228788i | ||||
\(673\) | 1.83418 | + | 4.42810i | 0.0707025 | + | 0.170691i | 0.955280 | − | 0.295702i | \(-0.0955534\pi\) |
−0.884578 | + | 0.466393i | \(0.845553\pi\) | |||||||
\(674\) | −2.22732 | − | 5.37723i | −0.0857933 | − | 0.207123i | ||||
\(675\) | 5.18258 | − | 0.597551i | 0.199478 | − | 0.0229998i | ||||
\(676\) | − | 12.3950i | − | 0.476731i | ||||||
\(677\) | 11.5273 | + | 4.77476i | 0.443030 | + | 0.183509i | 0.593036 | − | 0.805176i | \(-0.297929\pi\) |
−0.150006 | + | 0.988685i | \(0.547929\pi\) | |||||||
\(678\) | −21.5797 | − | 21.5797i | −0.828763 | − | 0.828763i | ||||
\(679\) | 9.08968 | 0.348830 | ||||||||
\(680\) | 3.02133 | − | 8.71043i | 0.115863 | − | 0.334030i | ||||
\(681\) | −45.5171 | −1.74422 | ||||||||
\(682\) | −3.29845 | − | 3.29845i | −0.126304 | − | 0.126304i | ||||
\(683\) | 10.4418 | + | 4.32512i | 0.399543 | + | 0.165496i | 0.573401 | − | 0.819275i | \(-0.305624\pi\) |
−0.173858 | + | 0.984771i | \(0.555624\pi\) | |||||||
\(684\) | 19.9677i | 0.763482i | ||||||||
\(685\) | −2.93376 | − | 3.88778i | −0.112093 | − | 0.148544i | ||||
\(686\) | −3.83872 | − | 9.26749i | −0.146563 | − | 0.353834i | ||||
\(687\) | 1.09358 | + | 2.64013i | 0.0417226 | + | 0.100727i | ||||
\(688\) | 8.03592 | − | 8.03592i | 0.306366 | − | 0.306366i | ||||
\(689\) | 2.32500 | + | 2.32500i | 0.0885755 | + | 0.0885755i | ||||
\(690\) | 45.2496 | + | 6.32836i | 1.72262 | + | 0.240916i | ||||
\(691\) | −9.79890 | − | 23.6566i | −0.372768 | − | 0.899941i | −0.993279 | − | 0.115744i | \(-0.963075\pi\) |
0.620511 | − | 0.784197i | \(-0.286925\pi\) | |||||||
\(692\) | −1.61801 | + | 3.90622i | −0.0615076 | + | 0.148492i | ||||
\(693\) | 28.0419 | 1.06522 | ||||||||
\(694\) | −4.68855 | + | 11.3192i | −0.177975 | + | 0.429670i | ||||
\(695\) | 5.64455 | + | 21.7654i | 0.214110 | + | 0.825608i | ||||
\(696\) | 0.875257 | 0.0331765 | ||||||||
\(697\) | −9.51267 | + | 1.90628i | −0.360318 | + | 0.0722056i | ||||
\(698\) | 5.77639i | 0.218640i | ||||||||
\(699\) | −40.0508 | + | 40.0508i | −1.51486 | + | 1.51486i | ||||
\(700\) | 1.89700 | + | 16.4527i | 0.0716997 | + | 0.621854i | ||||
\(701\) | − | 22.2922i | − | 0.841966i | −0.907068 | − | 0.420983i | \(-0.861685\pi\) | ||
0.907068 | − | 0.420983i | \(-0.138315\pi\) | |||||||
\(702\) | 0.310568 | − | 0.749777i | 0.0117216 | − | 0.0282985i | ||||
\(703\) | −24.9709 | + | 10.3433i | −0.941795 | + | 0.390104i | ||||
\(704\) | −2.29231 | + | 0.949504i | −0.0863945 | + | 0.0357858i | ||||
\(705\) | 50.7512 | − | 13.1616i | 1.91140 | − | 0.495695i | ||||
\(706\) | 8.85861 | + | 8.85861i | 0.333398 | + | 0.333398i | ||||
\(707\) | −12.0649 | − | 29.1272i | −0.453746 | − | 1.09544i | ||||
\(708\) | 29.9951 | − | 12.4244i | 1.12728 | − | 0.466936i | ||||
\(709\) | −27.3200 | − | 11.3163i | −1.02602 | − | 0.424993i | −0.194748 | − | 0.980853i | \(-0.562389\pi\) |
−0.831276 | + | 0.555860i | \(0.812389\pi\) | |||||||
\(710\) | −9.29602 | + | 15.8058i | −0.348873 | + | 0.593182i | ||||
\(711\) | −11.3688 | + | 27.4466i | −0.426362 | + | 1.02933i | ||||
\(712\) | 2.59981 | + | 2.59981i | 0.0974319 | + | 0.0974319i | ||||
\(713\) | 15.1707i | 0.568147i | ||||||||
\(714\) | −28.7270 | + | 19.2540i | −1.07508 | + | 0.720564i | ||||
\(715\) | 3.71970 | + | 2.18770i | 0.139109 | + | 0.0818152i | ||||
\(716\) | −3.76205 | + | 3.76205i | −0.140594 | + | 0.140594i | ||||
\(717\) | −26.3554 | − | 10.9168i | −0.984261 | − | 0.407694i | ||||
\(718\) | 6.07488 | 0.226713 | ||||||||
\(719\) | −17.1054 | − | 7.08529i | −0.637924 | − | 0.264237i | 0.0401916 | − | 0.999192i | \(-0.487203\pi\) |
−0.678116 | + | 0.734955i | \(0.737203\pi\) | |||||||
\(720\) | 7.55603 | + | 1.05674i | 0.281597 | + | 0.0393825i | ||||
\(721\) | 39.4449 | − | 16.3386i | 1.46901 | − | 0.608482i | ||||
\(722\) | −10.7814 | + | 10.7814i | −0.401241 | + | 0.401241i | ||||
\(723\) | −0.778374 | + | 0.778374i | −0.0289480 | + | 0.0289480i | ||||
\(724\) | 14.6093 | − | 6.05136i | 0.542949 | − | 0.224897i | ||||
\(725\) | 1.07404 | − | 1.35399i | 0.0398888 | − | 0.0502860i | ||||
\(726\) | −11.3318 | − | 4.69377i | −0.420561 | − | 0.174202i | ||||
\(727\) | −18.3747 | −0.681480 | −0.340740 | − | 0.940158i | \(-0.610678\pi\) | ||||
−0.340740 | + | 0.940158i | \(0.610678\pi\) | |||||||
\(728\) | 2.38025 | + | 0.985934i | 0.0882181 | + | 0.0365411i | ||||
\(729\) | 23.9267 | − | 23.9267i | 0.886176 | − | 0.886176i | ||||
\(730\) | −11.1114 | + | 18.8925i | −0.411251 | + | 0.699242i | ||||
\(731\) | 38.9231 | − | 26.0879i | 1.43962 | − | 0.964895i | ||||
\(732\) | 35.0699i | 1.29622i | ||||||||
\(733\) | −0.587977 | − | 0.587977i | −0.0217174 | − | 0.0217174i | 0.696165 | − | 0.717882i | \(-0.254888\pi\) |
−0.717882 | + | 0.696165i | \(0.754888\pi\) | |||||||
\(734\) | −3.76510 | + | 9.08975i | −0.138972 | + | 0.335509i | ||||
\(735\) | 11.4005 | − | 19.3840i | 0.420512 | − | 0.714988i | ||||
\(736\) | 7.45510 | + | 3.08800i | 0.274799 | + | 0.113825i | ||||
\(737\) | −1.97666 | + | 0.818761i | −0.0728113 | + | 0.0301594i | ||||
\(738\) | −3.07243 | − | 7.41751i | −0.113098 | − | 0.273042i | ||||
\(739\) | −2.33228 | − | 2.33228i | −0.0857943 | − | 0.0857943i | 0.662907 | − | 0.748702i | \(-0.269322\pi\) |
−0.748702 | + | 0.662907i | \(0.769322\pi\) | |||||||
\(740\) | 2.59251 | + | 9.99671i | 0.0953025 | + | 0.367487i | ||||
\(741\) | 10.6488 | − | 4.41086i | 0.391192 | − | 0.162037i | ||||
\(742\) | 12.9365 | − | 5.35846i | 0.474913 | − | 0.196715i | ||||
\(743\) | 7.05841 | − | 17.0405i | 0.258948 | − | 0.625156i | −0.739922 | − | 0.672693i | \(-0.765137\pi\) |
0.998869 | + | 0.0475376i | \(0.0151374\pi\) | |||||||
\(744\) | 4.76064i | 0.174534i | ||||||||
\(745\) | −16.4480 | − | 21.7967i | −0.602609 | − | 0.798570i | ||||
\(746\) | −7.21651 | + | 7.21651i | −0.264215 | + | 0.264215i | ||||
\(747\) | 12.3564i | 0.452097i | ||||||||
\(748\) | −10.0307 | + | 2.01010i | −0.366759 | + | 0.0734964i | ||||
\(749\) | 16.8793 | 0.616758 | ||||||||
\(750\) | 20.4966 | − | 19.5294i | 0.748429 | − | 0.713112i | ||||
\(751\) | 6.27632 | − | 15.1524i | 0.229026 | − | 0.552918i | −0.767033 | − | 0.641607i | \(-0.778268\pi\) |
0.996059 | + | 0.0886896i | \(0.0282679\pi\) | |||||||
\(752\) | 9.25971 | 0.337667 | ||||||||
\(753\) | 23.1542 | − | 55.8992i | 0.843786 | − | 2.03708i | ||||
\(754\) | −0.102884 | − | 0.248385i | −0.00374683 | − | 0.00904565i | ||||
\(755\) | 3.70218 | − | 26.4717i | 0.134736 | − | 0.963405i | ||||
\(756\) | −2.44379 | − | 2.44379i | −0.0888798 | − | 0.0888798i | ||||
\(757\) | 1.27297 | − | 1.27297i | 0.0462668 | − | 0.0462668i | −0.683595 | − | 0.729862i | \(-0.739584\pi\) |
0.729862 | + | 0.683595i | \(0.239584\pi\) | |||||||
\(758\) | −8.48108 | − | 20.4751i | −0.308047 | − | 0.743691i | ||||
\(759\) | −19.4014 | − | 46.8391i | −0.704226 | − | 1.70015i | ||||
\(760\) | 7.88221 | + | 10.4454i | 0.285918 | + | 0.378895i | ||||
\(761\) | 9.64351i | 0.349577i | 0.984606 | + | 0.174788i | \(0.0559241\pi\) | ||||
−0.984606 | + | 0.174788i | \(0.944076\pi\) | |||||||
\(762\) | 45.3091 | + | 18.7677i | 1.64138 | + | 0.679881i | ||||
\(763\) | 0.428833 | + | 0.428833i | 0.0155248 | + | 0.0155248i | ||||
\(764\) | −26.3384 | −0.952890 | ||||||||
\(765\) | 29.7204 | + | 10.3089i | 1.07454 | + | 0.372719i | ||||
\(766\) | −10.1772 | −0.367717 | ||||||||
\(767\) | −7.05171 | − | 7.05171i | −0.254622 | − | 0.254622i | ||||
\(768\) | 2.33945 | + | 0.969032i | 0.0844176 | + | 0.0349669i | ||||
\(769\) | 33.9195i | 1.22317i | 0.791179 | + | 0.611585i | \(0.209468\pi\) | ||||
−0.791179 | + | 0.611585i | \(0.790532\pi\) | |||||||
\(770\) | 14.6692 | − | 11.0695i | 0.528640 | − | 0.398917i | ||||
\(771\) | 28.4468 | + | 68.6767i | 1.02449 | + | 2.47333i | ||||
\(772\) | −5.23679 | − | 12.6427i | −0.188476 | − | 0.455022i | ||||
\(773\) | −16.9057 | + | 16.9057i | −0.608055 | + | 0.608055i | −0.942438 | − | 0.334382i | \(-0.891472\pi\) |
0.334382 | + | 0.942438i | \(0.391472\pi\) | |||||||
\(774\) | 27.4189 | + | 27.4189i | 0.985553 | + | 0.985553i | ||||
\(775\) | 7.36455 | + | 5.84185i | 0.264542 | + | 0.209846i | ||||
\(776\) | −1.05015 | − | 2.53530i | −0.0376983 | − | 0.0910119i | ||||
\(777\) | 14.8245 | − | 35.7895i | 0.531825 | − | 1.28394i | ||||
\(778\) | 9.18824 | 0.329414 | ||||||||
\(779\) | 5.26962 | − | 12.7220i | 0.188804 | − | 0.455813i | ||||
\(780\) | −1.10557 | − | 4.26307i | −0.0395856 | − | 0.152642i | ||||
\(781\) | 20.3468 | 0.728067 | ||||||||
\(782\) | 27.6899 | + | 18.4448i | 0.990189 | + | 0.659584i | ||||
\(783\) | 0.360646i | 0.0128884i | ||||||||
\(784\) | 2.80835 | − | 2.80835i | 0.100298 | − | 0.100298i | ||||
\(785\) | −16.0287 | + | 12.0954i | −0.572088 | + | 0.431704i | ||||
\(786\) | − | 16.9313i | − | 0.603921i | ||||||
\(787\) | −13.9830 | + | 33.7579i | −0.498439 | + | 1.20334i | 0.451885 | + | 0.892076i | \(0.350752\pi\) |
−0.950324 | + | 0.311262i | \(0.899248\pi\) | |||||||
\(788\) | 6.00780 | − | 2.48851i | 0.214019 | − | 0.0886496i | ||||
\(789\) | −47.0492 | + | 19.4884i | −1.67500 | + | 0.693807i | ||||
\(790\) | 4.88734 | + | 18.8456i | 0.173884 | + | 0.670495i | ||||
\(791\) | 28.2281 | + | 28.2281i | 1.00368 | + | 1.00368i | ||||
\(792\) | −3.23975 | − | 7.82145i | −0.115120 | − | 0.277923i | ||||
\(793\) | 9.95231 | − | 4.12238i | 0.353417 | − | 0.146390i | ||||
\(794\) | 23.5614 | + | 9.75944i | 0.836162 | + | 0.346349i | ||||
\(795\) | −20.6320 | − | 12.1345i | −0.731742 | − | 0.430365i | ||||
\(796\) | 4.25049 | − | 10.2616i | 0.150655 | − | 0.363712i | ||||
\(797\) | −10.0544 | − | 10.0544i | −0.356147 | − | 0.356147i | 0.506244 | − | 0.862390i | \(-0.331034\pi\) |
−0.862390 | + | 0.506244i | \(0.831034\pi\) | |||||||
\(798\) | − | 49.0847i | − | 1.73758i | ||||||
\(799\) | 37.4557 | + | 7.39494i | 1.32509 | + | 0.261614i | ||||
\(800\) | 4.36983 | − | 2.42993i | 0.154497 | − | 0.0859112i | ||||
\(801\) | −8.87066 | + | 8.87066i | −0.313429 | + | 0.313429i | ||||
\(802\) | −33.7790 | − | 13.9917i | −1.19278 | − | 0.494064i | ||||
\(803\) | 24.3203 | 0.858245 | ||||||||
\(804\) | 2.01732 | + | 0.835599i | 0.0711452 | + | 0.0294693i | ||||
\(805\) | −59.1905 | − | 8.27804i | −2.08619 | − | 0.291763i | ||||
\(806\) | 1.35100 | − | 0.559603i | 0.0475870 | − | 0.0197112i | ||||
\(807\) | 5.15466 | − | 5.15466i | 0.181453 | − | 0.181453i | ||||
\(808\) | −6.73027 | + | 6.73027i | −0.236770 | + | 0.236770i | ||||
\(809\) | −4.32037 | + | 1.78955i | −0.151896 | + | 0.0629174i | −0.457336 | − | 0.889294i | \(-0.651196\pi\) |
0.305440 | + | 0.952211i | \(0.401196\pi\) | |||||||
\(810\) | 2.35196 | − | 16.8172i | 0.0826394 | − | 0.590897i | ||||
\(811\) | 40.2894 | + | 16.6884i | 1.41475 | + | 0.586009i | 0.953536 | − | 0.301280i | \(-0.0974137\pi\) |
0.461215 | + | 0.887288i | \(0.347414\pi\) | |||||||
\(812\) | −1.14491 | −0.0401786 | ||||||||
\(813\) | 43.9332 | + | 18.1977i | 1.54080 | + | 0.638221i | ||||
\(814\) | 8.10305 | − | 8.10305i | 0.284012 | − | 0.284012i | ||||
\(815\) | 20.4863 | + | 12.0488i | 0.717603 | + | 0.422050i | ||||
\(816\) | 8.68924 | + | 5.78807i | 0.304184 | + | 0.202623i | ||||
\(817\) | 66.5063i | 2.32676i | ||||||||
\(818\) | 10.5376 | + | 10.5376i | 0.368438 | + | 0.368438i | ||||
\(819\) | −3.36405 | + | 8.12154i | −0.117549 | + | 0.283790i | ||||
\(820\) | −4.53529 | − | 2.66738i | −0.158379 | − | 0.0931489i | ||||
\(821\) | 32.1854 | + | 13.3316i | 1.12328 | + | 0.465277i | 0.865490 | − | 0.500925i | \(-0.167007\pi\) |
0.257786 | + | 0.966202i | \(0.417007\pi\) | |||||||
\(822\) | 5.09568 | − | 2.11070i | 0.177732 | − | 0.0736191i | ||||
\(823\) | 11.8633 | + | 28.6405i | 0.413528 | + | 0.998344i | 0.984183 | + | 0.177154i | \(0.0566892\pi\) |
−0.570656 | + | 0.821190i | \(0.693311\pi\) | |||||||
\(824\) | −9.11435 | − | 9.11435i | −0.317513 | − | 0.317513i | ||||
\(825\) | −30.2089 | − | 8.61825i | −1.05174 | − | 0.300049i | ||||
\(826\) | −39.2362 | + | 16.2522i | −1.36520 | + | 0.565485i | ||||
\(827\) | 24.0440 | − | 9.95934i | 0.836091 | − | 0.346320i | 0.0767796 | − | 0.997048i | \(-0.475536\pi\) |
0.759311 | + | 0.650728i | \(0.225536\pi\) | |||||||
\(828\) | −10.5364 | + | 25.4371i | −0.366165 | + | 0.884002i | ||||
\(829\) | 31.3054i | 1.08728i | 0.839318 | + | 0.543641i | \(0.182955\pi\) | ||||
−0.839318 | + | 0.543641i | \(0.817045\pi\) | |||||||
\(830\) | 4.87767 | + | 6.46383i | 0.169307 | + | 0.224363i | ||||
\(831\) | 15.6927 | − | 15.6927i | 0.544375 | − | 0.544375i | ||||
\(832\) | − | 0.777809i | − | 0.0269657i | ||||||
\(833\) | 13.6027 | − | 9.11707i | 0.471304 | − | 0.315888i | ||||
\(834\) | −25.4633 | −0.881720 | ||||||||
\(835\) | 11.6379 | − | 3.01814i | 0.402747 | − | 0.104447i | ||||
\(836\) | 5.55660 | − | 13.4148i | 0.192179 | − | 0.463961i | ||||
\(837\) | −1.96160 | −0.0678029 | ||||||||
\(838\) | 0.678866 | − | 1.63893i | 0.0234510 | − | 0.0566158i | ||||
\(839\) | −11.2215 | − | 27.0910i | −0.387408 | − | 0.935285i | −0.990487 | − | 0.137604i | \(-0.956060\pi\) |
0.603080 | − | 0.797681i | \(-0.293940\pi\) | |||||||
\(840\) | −18.5743 | − | 2.59769i | −0.640874 | − | 0.0896290i | ||||
\(841\) | −20.4216 | − | 20.4216i | −0.704194 | − | 0.704194i | ||||
\(842\) | 17.7634 | − | 17.7634i | 0.612168 | − | 0.612168i | ||||
\(843\) | 29.5000 | + | 71.2193i | 1.01603 | + | 2.45292i | ||||
\(844\) | −1.81913 | − | 4.39176i | −0.0626170 | − | 0.151171i | ||||
\(845\) | 22.1238 | − | 16.6949i | 0.761083 | − | 0.574321i | ||||
\(846\) | 31.5946i | 1.08624i | ||||||||
\(847\) | 14.8229 | + | 6.13987i | 0.509323 | + | 0.210968i | ||||
\(848\) | −2.98917 | − | 2.98917i | −0.102648 | − | 0.102648i | ||||
\(849\) | 24.2036 | 0.830666 | ||||||||
\(850\) | 19.6166 | − | 6.33933i | 0.672845 | − | 0.217437i | ||||
\(851\) | −37.2687 | −1.27755 | ||||||||
\(852\) | −14.6833 | − | 14.6833i | −0.503041 | − | 0.503041i | ||||
\(853\) | 48.0043 | + | 19.8840i | 1.64364 | + | 0.680816i | 0.996658 | − | 0.0816920i | \(-0.0260324\pi\) |
0.646978 | + | 0.762508i | \(0.276032\pi\) | |||||||
\(854\) | − | 45.8745i | − | 1.56979i | ||||||
\(855\) | −35.6402 | + | 26.8945i | −1.21887 | + | 0.919771i | ||||
\(856\) | −1.95011 | − | 4.70799i | −0.0666535 | − | 0.160916i | ||||
\(857\) | −22.0112 | − | 53.1397i | −0.751888 | − | 1.81522i | −0.548567 | − | 0.836107i | \(-0.684826\pi\) |
−0.203321 | − | 0.979112i | \(-0.565174\pi\) | |||||||
\(858\) | −3.45552 | + | 3.45552i | −0.117970 | + | 0.117970i | ||||
\(859\) | −34.5161 | − | 34.5161i | −1.17768 | − | 1.17768i | −0.980335 | − | 0.197341i | \(-0.936769\pi\) |
−0.197341 | − | 0.980335i | \(-0.563231\pi\) | |||||||
\(860\) | 25.1669 | + | 3.51969i | 0.858183 | + | 0.120021i | ||||
\(861\) | 7.55268 | + | 18.2338i | 0.257395 | + | 0.621405i | ||||
\(862\) | −8.98389 | + | 21.6890i | −0.305993 | + | 0.738731i | ||||
\(863\) | 19.9590 | 0.679414 | 0.339707 | − | 0.940531i | \(-0.389672\pi\) | ||||
0.339707 | + | 0.940531i | \(0.389672\pi\) | |||||||
\(864\) | −0.399286 | + | 0.963960i | −0.0135840 | + | 0.0327946i | ||||
\(865\) | −9.15151 | + | 2.37332i | −0.311161 | + | 0.0806952i | ||||
\(866\) | −28.9264 | −0.982961 | ||||||||
\(867\) | 30.5258 | + | 30.3523i | 1.03671 | + | 1.03082i | ||||
\(868\) | − | 6.22734i | − | 0.211370i | ||||||
\(869\) | 15.2757 | − | 15.2757i | 0.518192 | − | 0.518192i | ||||
\(870\) | 1.17888 | + | 1.56224i | 0.0399679 | + | 0.0529650i | ||||
\(871\) | − | 0.670707i | − | 0.0227260i | ||||||
\(872\) | 0.0700661 | − | 0.169155i | 0.00237274 | − | 0.00572830i | ||||
\(873\) | 8.65055 | − | 3.58317i | 0.292777 | − | 0.121272i | ||||
\(874\) | −43.6280 | + | 18.0713i | −1.47574 | + | 0.611271i | ||||
\(875\) | −26.8113 | + | 25.5461i | −0.906388 | + | 0.863617i | ||||
\(876\) | −17.5507 | − | 17.5507i | −0.592984 | − | 0.592984i | ||||
\(877\) | 5.21753 | + | 12.5962i | 0.176184 | + | 0.425345i | 0.987160 | − | 0.159734i | \(-0.0510636\pi\) |
−0.810977 | + | 0.585079i | \(0.801064\pi\) | |||||||
\(878\) | 0.944005 | − | 0.391020i | 0.0318586 | − | 0.0131963i | ||||
\(879\) | −12.5149 | − | 5.18383i | −0.422116 | − | 0.174846i | ||||
\(880\) | −4.78228 | − | 2.81264i | −0.161211 | − | 0.0948141i | ||||
\(881\) | 6.20068 | − | 14.9698i | 0.208906 | − | 0.504344i | −0.784345 | − | 0.620324i | \(-0.787001\pi\) |
0.993251 | + | 0.115980i | \(0.0370010\pi\) | |||||||
\(882\) | 9.58223 | + | 9.58223i | 0.322651 | + | 0.322651i | ||||
\(883\) | 5.19724i | 0.174901i | 0.996169 | + | 0.0874506i | \(0.0278720\pi\) | ||||
−0.996169 | + | 0.0874506i | \(0.972128\pi\) | |||||||
\(884\) | 0.621170 | − | 3.14626i | 0.0208922 | − | 0.105820i | ||||
\(885\) | 62.5766 | + | 36.8037i | 2.10349 | + | 1.23714i | ||||
\(886\) | −16.3950 | + | 16.3950i | −0.550801 | + | 0.550801i | ||||
\(887\) | 3.27376 | + | 1.35604i | 0.109922 | + | 0.0455312i | 0.436967 | − | 0.899478i | \(-0.356053\pi\) |
−0.327045 | + | 0.945009i | \(0.606053\pi\) | |||||||
\(888\) | −11.6951 | −0.392463 | ||||||||
\(889\) | −59.2683 | − | 24.5497i | −1.98780 | − | 0.823372i | ||||
\(890\) | −1.13870 | + | 8.14207i | −0.0381694 | + | 0.272923i | ||||
\(891\) | −17.4080 | + | 7.21061i | −0.583188 | + | 0.241565i | ||||
\(892\) | 13.4824 | − | 13.4824i | 0.451423 | − | 0.451423i | ||||
\(893\) | −38.3173 | + | 38.3173i | −1.28224 | + | 1.28224i | ||||
\(894\) | 28.5688 | − | 11.8336i | 0.955482 | − | 0.395774i | ||||
\(895\) | −11.7820 | − | 1.64776i | −0.393828 | − | 0.0550785i | ||||
\(896\) | −3.06021 | − | 1.26758i | −0.102234 | − | 0.0423468i | ||||
\(897\) | 15.8931 | 0.530656 | ||||||||
\(898\) | −25.7449 | − | 10.6639i | −0.859117 | − | 0.355858i | ||||
\(899\) | −0.459504 | + | 0.459504i | −0.0153253 | + | 0.0153253i | ||||
\(900\) | 8.29105 | + | 14.9101i | 0.276368 | + | 0.497002i | ||||
\(901\) | −9.70406 | − | 14.4785i | −0.323289 | − | 0.482347i | ||||
\(902\) | 5.83828i | 0.194393i | ||||||||
\(903\) | −67.4014 | − | 67.4014i | −2.24298 | − | 2.24298i | ||||
\(904\) | 4.61213 | − | 11.1347i | 0.153397 | − | 0.370334i | ||||
\(905\) | 30.4783 | + | 17.9255i | 1.01313 | + | 0.595863i | ||||
\(906\) | 27.9651 | + | 11.5835i | 0.929080 | + | 0.384837i | ||||
\(907\) | −40.4620 | + | 16.7599i | −1.34352 | + | 0.556504i | −0.934481 | − | 0.356013i | \(-0.884136\pi\) |
−0.409038 | + | 0.912517i | \(0.634136\pi\) | |||||||
\(908\) | −6.87885 | − | 16.6070i | −0.228283 | − | 0.551123i | ||||
\(909\) | −22.9640 | − | 22.9640i | −0.761668 | − | 0.761668i | ||||
\(910\) | 1.44618 | + | 5.57647i | 0.0479404 | + | 0.184858i | ||||
\(911\) | −21.0931 | + | 8.73705i | −0.698846 | + | 0.289471i | −0.703680 | − | 0.710517i | \(-0.748461\pi\) |
0.00483423 | + | 0.999988i | \(0.498461\pi\) | |||||||
\(912\) | −13.6907 | + | 5.67088i | −0.453345 | + | 0.187781i | ||||
\(913\) | 3.43854 | − | 8.30136i | 0.113799 | − | 0.274735i | ||||
\(914\) | − | 30.7230i | − | 1.01623i | ||||||
\(915\) | −62.5961 | + | 47.2356i | −2.06936 | + | 1.56156i | ||||
\(916\) | −0.797989 | + | 0.797989i | −0.0263663 | + | 0.0263663i | ||||
\(917\) | 22.1477i | 0.731381i | ||||||||
\(918\) | −2.38495 | + | 3.58037i | −0.0787152 | + | 0.118170i | ||||
\(919\) | 46.6106 | 1.53754 | 0.768771 | − | 0.639524i | \(-0.220868\pi\) | ||||
0.768771 | + | 0.639524i | \(0.220868\pi\) | |||||||
\(920\) | 4.52952 | + | 17.4658i | 0.149334 | + | 0.575831i | ||||
\(921\) | 19.0286 | − | 45.9391i | 0.627013 | − | 1.51374i | ||||
\(922\) | −3.35390 | −0.110455 | ||||||||
\(923\) | −2.44091 | + | 5.89289i | −0.0803436 | + | 0.193967i | ||||
\(924\) | 7.96398 | + | 19.2268i | 0.261996 | + | 0.632514i | ||||
\(925\) | −14.3512 | + | 18.0919i | −0.471866 | + | 0.594860i | ||||
\(926\) | 18.2091 | + | 18.2091i | 0.598389 | + | 0.598389i | ||||
\(927\) | 31.0986 | − | 31.0986i | 1.02141 | − | 1.02141i | ||||
\(928\) | 0.132275 | + | 0.319339i | 0.00434213 | + | 0.0104828i | ||||
\(929\) | 2.87430 | + | 6.93918i | 0.0943028 | + | 0.227667i | 0.963991 | − | 0.265934i | \(-0.0856803\pi\) |
−0.869688 | + | 0.493601i | \(0.835680\pi\) | |||||||
\(930\) | −8.49726 | + | 6.41212i | −0.278636 | + | 0.210262i | ||||
\(931\) | 23.2423i | 0.761736i | ||||||||
\(932\) | −20.6654 | − | 8.55988i | −0.676917 | − | 0.280388i | ||||
\(933\) | 24.5956 | + | 24.5956i | 0.805223 | + | 0.805223i | ||||
\(934\) | 13.0734 | 0.427774 | ||||||||
\(935\) | −17.0982 | − | 15.1964i | −0.559171 | − | 0.496975i | ||||
\(936\) | 2.65392 | 0.0867461 | ||||||||
\(937\) | −29.2503 | − | 29.2503i | −0.955567 | − | 0.955567i | 0.0434874 | − | 0.999054i | \(-0.486153\pi\) |
−0.999054 | + | 0.0434874i | \(0.986153\pi\) | |||||||
\(938\) | −2.63883 | − | 1.09304i | −0.0861607 | − | 0.0356889i | ||||
\(939\) | 15.5983i | 0.509031i | ||||||||
\(940\) | 12.4719 | + | 16.5276i | 0.406789 | + | 0.539072i | ||||
\(941\) | −7.76691 | − | 18.7510i | −0.253194 | − | 0.611264i | 0.745264 | − | 0.666769i | \(-0.232323\pi\) |
−0.998458 | + | 0.0555046i | \(0.982323\pi\) | |||||||
\(942\) | −8.70207 | − | 21.0087i | −0.283529 | − | 0.684499i | ||||
\(943\) | 13.4261 | − | 13.4261i | 0.437215 | − | 0.437215i | ||||
\(944\) | 9.06612 | + | 9.06612i | 0.295077 | + | 0.295077i | ||||
\(945\) | 1.07037 | − | 7.65346i | 0.0348191 | − | 0.248967i | ||||
\(946\) | −10.7906 | − | 26.0509i | −0.350834 | − | 0.846988i | ||||
\(947\) | 10.0051 | − | 24.1545i | 0.325123 | − | 0.784915i | −0.673818 | − | 0.738897i | \(-0.735347\pi\) |
0.998941 | − | 0.0460180i | \(-0.0146531\pi\) | |||||||
\(948\) | −22.0474 | −0.716065 | ||||||||
\(949\) | −2.91759 | + | 7.04369i | −0.0947090 | + | 0.228648i | ||||
\(950\) | −8.02741 | + | 28.1379i | −0.260444 | + | 0.912913i | ||||
\(951\) | 12.8752 | 0.417508 | ||||||||
\(952\) | −11.3663 | − | 7.57131i | −0.368384 | − | 0.245388i | ||||
\(953\) | − | 10.2410i | − | 0.331738i | −0.986148 | − | 0.165869i | \(-0.946957\pi\) | ||
0.986148 | − | 0.165869i | \(-0.0530430\pi\) | |||||||
\(954\) | 10.1992 | − | 10.1992i | 0.330211 | − | 0.330211i | ||||
\(955\) | −35.4752 | − | 47.0113i | −1.14795 | − | 1.52125i | ||||
\(956\) | − | 11.2657i | − | 0.364357i | ||||||
\(957\) | 0.831060 | − | 2.00636i | 0.0268643 | − | 0.0648563i | ||||
\(958\) | 24.3093 | − | 10.0693i | 0.785399 | − | 0.325323i | ||||
\(959\) | −6.66559 | + | 2.76098i | −0.215243 | + | 0.0891567i | ||||
\(960\) | 1.42139 | + | 5.48087i | 0.0458750 | + | 0.176894i | ||||
\(961\) | 19.4210 | + | 19.4210i | 0.626484 | + | 0.626484i | ||||
\(962\) | 1.37473 | + | 3.31890i | 0.0443232 | + | 0.107006i | ||||
\(963\) | 16.0639 | − | 6.65388i | 0.517651 | − | 0.214418i | ||||
\(964\) | −0.401624 | − | 0.166358i | −0.0129355 | − | 0.00535804i | ||||
\(965\) | 15.5125 | − | 26.3757i | 0.499366 | − | 0.849062i | ||||
\(966\) | 25.9007 | − | 62.5298i | 0.833341 | − | 2.01186i | ||||
\(967\) | 1.61879 | + | 1.61879i | 0.0520569 | + | 0.0520569i | 0.732656 | − | 0.680599i | \(-0.238280\pi\) |
−0.680599 | + | 0.732656i | \(0.738280\pi\) | |||||||
\(968\) | − | 4.84378i | − | 0.155685i | ||||||
\(969\) | −59.9081 | + | 12.0052i | −1.92452 | + | 0.385663i | ||||
\(970\) | 3.11079 | − | 5.28921i | 0.0998814 | − | 0.169826i | ||||
\(971\) | −9.60331 | + | 9.60331i | −0.308185 | + | 0.308185i | −0.844205 | − | 0.536020i | \(-0.819927\pi\) |
0.536020 | + | 0.844205i | \(0.319927\pi\) | |||||||
\(972\) | 20.6578 | + | 8.55676i | 0.662601 | + | 0.274458i | ||||
\(973\) | 33.3082 | 1.06781 | ||||||||
\(974\) | −19.0022 | − | 7.87096i | −0.608869 | − | 0.252202i | ||||
\(975\) | 6.12004 | − | 7.71525i | 0.195998 | − | 0.247086i | ||||
\(976\) | −12.7953 | + | 5.29999i | −0.409568 | + | 0.169649i | ||||
\(977\) | 17.0701 | − | 17.0701i | 0.546120 | − | 0.546120i | −0.379196 | − | 0.925316i | \(-0.623799\pi\) |
0.925316 | + | 0.379196i | \(0.123799\pi\) | |||||||
\(978\) | −19.0313 | + | 19.0313i | −0.608554 | + | 0.608554i | ||||
\(979\) | 8.42808 | − | 3.49103i | 0.269363 | − | 0.111574i | ||||
\(980\) | 8.79520 | + | 1.23005i | 0.280952 | + | 0.0392924i | ||||
\(981\) | 0.577163 | + | 0.239069i | 0.0184274 | + | 0.00763288i | ||||
\(982\) | −3.45555 | −0.110271 | ||||||||
\(983\) | −51.6554 | − | 21.3964i | −1.64755 | − | 0.682439i | −0.650525 | − | 0.759485i | \(-0.725451\pi\) |
−0.997028 | + | 0.0770464i | \(0.975451\pi\) | |||||||
\(984\) | 4.21319 | − | 4.21319i | 0.134312 | − | 0.134312i | ||||
\(985\) | 12.5337 | + | 7.37153i | 0.399356 | + | 0.234876i | ||||
\(986\) | 0.280025 | + | 1.39737i | 0.00891781 | + | 0.0445014i | ||||
\(987\) | − | 77.6660i | − | 2.47214i | ||||||
\(988\) | 3.21862 | + | 3.21862i | 0.102398 | + | 0.102398i | ||||
\(989\) | −35.0936 | + | 84.7235i | −1.11591 | + | 2.69405i | ||||
\(990\) | 9.59686 | − | 16.3173i | 0.305008 | − | 0.518599i | ||||
\(991\) | 28.9890 | + | 12.0076i | 0.920866 | + | 0.381435i | 0.792206 | − | 0.610253i | \(-0.208932\pi\) |
0.128660 | + | 0.991689i | \(0.458932\pi\) | |||||||
\(992\) | −1.73693 | + | 0.719461i | −0.0551476 | + | 0.0228429i | ||||
\(993\) | 3.15376 | + | 7.61386i | 0.100082 | + | 0.241618i | ||||
\(994\) | 19.2070 | + | 19.2070i | 0.609210 | + | 0.609210i | ||||
\(995\) | 24.0409 | − | 6.23466i | 0.762146 | − | 0.197652i | ||||
\(996\) | −8.47209 | + | 3.50926i | −0.268448 | + | 0.111195i | ||||
\(997\) | 44.1910 | − | 18.3045i | 1.39954 | − | 0.579710i | 0.449910 | − | 0.893074i | \(-0.351456\pi\) |
0.949633 | + | 0.313365i | \(0.101456\pi\) | |||||||
\(998\) | 2.11896 | − | 5.11563i | 0.0670746 | − | 0.161933i | ||||
\(999\) | − | 4.81893i | − | 0.152464i |
(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 | 170.2.n.b.59.5 | yes | 20 | |
5.2 | odd | 4 | 850.2.l.h.501.5 | 20 | |||
5.3 | odd | 4 | 850.2.l.i.501.1 | 20 | |||
5.4 | even | 2 | 170.2.n.a.59.1 | yes | 20 | ||
17.15 | even | 8 | 170.2.n.a.49.1 | ✓ | 20 | ||
85.32 | odd | 8 | 850.2.l.h.151.5 | 20 | |||
85.49 | even | 8 | inner | 170.2.n.b.49.5 | yes | 20 | |
85.83 | odd | 8 | 850.2.l.i.151.1 | 20 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
170.2.n.a.49.1 | ✓ | 20 | 17.15 | even | 8 | ||
170.2.n.a.59.1 | yes | 20 | 5.4 | even | 2 | ||
170.2.n.b.49.5 | yes | 20 | 85.49 | even | 8 | inner | |
170.2.n.b.59.5 | yes | 20 | 1.1 | even | 1 | trivial | |
850.2.l.h.151.5 | 20 | 85.32 | odd | 8 | |||
850.2.l.h.501.5 | 20 | 5.2 | odd | 4 | |||
850.2.l.i.151.1 | 20 | 85.83 | odd | 8 | |||
850.2.l.i.501.1 | 20 | 5.3 | odd | 4 |