Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [960,2,Mod(11,960)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(960, base_ring=CyclotomicField(16))
chi = DirichletCharacter(H, H._module([8, 5, 8, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("960.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 960 = 2^{6} \cdot 3 \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 960.cn (of order \(16\), degree \(8\), 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: | \(7.66563859404\) |
Analytic rank: | \(0\) |
Dimension: | \(1024\) |
Relative dimension: | \(128\) over \(\Q(\zeta_{16})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{16}]$ |
Embedding invariants
Embedding label | 611.90 | ||
Character | \(\chi\) | \(=\) | 960.611 |
Dual form | 960.2.cn.a.11.90 |
$q$-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 \(\left(\mathbb{Z}/960\mathbb{Z}\right)^\times\).
\(n\) | \(511\) | \(577\) | \(641\) | \(901\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(-1\) | \(e\left(\frac{11}{16}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.831887 | − | 1.14366i | 0.588233 | − | 0.808692i | ||||
\(3\) | −1.72307 | + | 0.176174i | −0.994814 | + | 0.101714i | ||||
\(4\) | −0.615929 | − | 1.90280i | −0.307965 | − | 0.951398i | ||||
\(5\) | −0.831470 | − | 0.555570i | −0.371845 | − | 0.248459i | ||||
\(6\) | −1.23191 | + | 2.11717i | −0.502927 | + | 0.864329i | ||||
\(7\) | −1.53037 | − | 3.69465i | −0.578427 | − | 1.39645i | −0.894224 | − | 0.447619i | \(-0.852272\pi\) |
0.315798 | − | 0.948826i | \(-0.397728\pi\) | |||||||
\(8\) | −2.68854 | − | 0.878495i | −0.950542 | − | 0.310595i | ||||
\(9\) | 2.93793 | − | 0.607119i | 0.979308 | − | 0.202373i | ||||
\(10\) | −1.32707 | + | 0.488749i | −0.419657 | + | 0.154556i | ||||
\(11\) | −0.519857 | − | 2.61350i | −0.156743 | − | 0.788000i | −0.976538 | − | 0.215343i | \(-0.930913\pi\) |
0.819796 | − | 0.572656i | \(-0.194087\pi\) | |||||||
\(12\) | 1.39651 | + | 3.17014i | 0.403138 | + | 0.915139i | ||||
\(13\) | 2.12901 | + | 3.18628i | 0.590480 | + | 0.883715i | 0.999586 | − | 0.0287713i | \(-0.00915947\pi\) |
−0.409106 | + | 0.912487i | \(0.634159\pi\) | |||||||
\(14\) | −5.49853 | − | 1.32330i | −1.46954 | − | 0.353666i | ||||
\(15\) | 1.53056 | + | 0.810802i | 0.395188 | + | 0.209348i | ||||
\(16\) | −3.24126 | + | 2.34397i | −0.810316 | + | 0.585994i | ||||
\(17\) | −1.81246 | + | 1.81246i | −0.439586 | + | 0.439586i | −0.891873 | − | 0.452287i | \(-0.850608\pi\) |
0.452287 | + | 0.891873i | \(0.350608\pi\) | |||||||
\(18\) | 1.74968 | − | 3.86505i | 0.412404 | − | 0.911001i | ||||
\(19\) | −2.62842 | − | 3.93371i | −0.603001 | − | 0.902455i | 0.396880 | − | 0.917871i | \(-0.370093\pi\) |
−0.999881 | + | 0.0154152i | \(0.995093\pi\) | |||||||
\(20\) | −0.545010 | + | 1.92431i | −0.121868 | + | 0.430289i | ||||
\(21\) | 3.28784 | + | 6.09652i | 0.717465 | + | 1.33037i | ||||
\(22\) | −3.42142 | − | 1.57959i | −0.729450 | − | 0.336770i | ||||
\(23\) | 0.157368 | − | 0.379920i | 0.0328135 | − | 0.0792187i | −0.906623 | − | 0.421941i | \(-0.861349\pi\) |
0.939437 | + | 0.342722i | \(0.111349\pi\) | |||||||
\(24\) | 4.78730 | + | 1.04006i | 0.977204 | + | 0.212300i | ||||
\(25\) | 0.382683 | + | 0.923880i | 0.0765367 | + | 0.184776i | ||||
\(26\) | 5.41512 | + | 0.215761i | 1.06199 | + | 0.0423142i | ||||
\(27\) | −4.95529 | + | 1.56369i | −0.953645 | + | 0.300933i | ||||
\(28\) | −6.08756 | + | 5.18763i | −1.15044 | + | 0.980370i | ||||
\(29\) | −7.83393 | − | 1.55827i | −1.45472 | − | 0.289363i | −0.596490 | − | 0.802621i | \(-0.703438\pi\) |
−0.858234 | + | 0.513258i | \(0.828438\pi\) | |||||||
\(30\) | 2.20053 | − | 1.07594i | 0.401760 | − | 0.196440i | ||||
\(31\) | 6.58057 | 1.18191 | 0.590953 | − | 0.806706i | \(-0.298752\pi\) | ||||
0.590953 | + | 0.806706i | \(0.298752\pi\) | |||||||
\(32\) | −0.0156458 | + | 5.65683i | −0.00276581 | + | 0.999996i | ||||
\(33\) | 1.35618 | + | 4.41165i | 0.236081 | + | 0.767970i | ||||
\(34\) | 0.565082 | + | 3.58060i | 0.0969107 | + | 0.614068i | ||||
\(35\) | −0.780177 | + | 3.92222i | −0.131874 | + | 0.662976i | ||||
\(36\) | −2.96478 | − | 5.21633i | −0.494130 | − | 0.869388i | ||||
\(37\) | 6.24903 | + | 4.17547i | 1.02733 | + | 0.686443i | 0.950539 | − | 0.310604i | \(-0.100531\pi\) |
0.0767950 | + | 0.997047i | \(0.475531\pi\) | |||||||
\(38\) | −6.68539 | − | 0.266374i | −1.08451 | − | 0.0432115i | ||||
\(39\) | −4.22976 | − | 5.11510i | −0.677304 | − | 0.819072i | ||||
\(40\) | 1.74737 | + | 2.22411i | 0.276284 | + | 0.351663i | ||||
\(41\) | −0.724580 | − | 0.300131i | −0.113160 | − | 0.0468726i | 0.325385 | − | 0.945582i | \(-0.394506\pi\) |
−0.438545 | + | 0.898709i | \(0.644506\pi\) | |||||||
\(42\) | 9.70747 | + | 1.31143i | 1.49789 | + | 0.202359i | ||||
\(43\) | 2.05652 | + | 10.3388i | 0.313616 | + | 1.57665i | 0.740315 | + | 0.672260i | \(0.234676\pi\) |
−0.426699 | + | 0.904394i | \(0.640324\pi\) | |||||||
\(44\) | −4.65276 | + | 2.59891i | −0.701430 | + | 0.391801i | ||||
\(45\) | −2.78009 | − | 1.12742i | −0.414432 | − | 0.168066i | ||||
\(46\) | −0.303588 | − | 0.496026i | −0.0447616 | − | 0.0731350i | ||||
\(47\) | 3.53608 | + | 3.53608i | 0.515790 | + | 0.515790i | 0.916295 | − | 0.400505i | \(-0.131165\pi\) |
−0.400505 | + | 0.916295i | \(0.631165\pi\) | |||||||
\(48\) | 5.17197 | − | 4.60985i | 0.746509 | − | 0.665375i | ||||
\(49\) | −6.35863 | + | 6.35863i | −0.908375 | + | 0.908375i | ||||
\(50\) | 1.37496 | + | 0.330902i | 0.194448 | + | 0.0467966i | ||||
\(51\) | 2.80368 | − | 3.44230i | 0.392594 | − | 0.482018i | ||||
\(52\) | 4.75153 | − | 6.01359i | 0.658918 | − | 0.833934i | ||||
\(53\) | −13.8731 | + | 2.75954i | −1.90562 | + | 0.379052i | −0.999073 | − | 0.0430464i | \(-0.986294\pi\) |
−0.906550 | + | 0.422098i | \(0.861294\pi\) | |||||||
\(54\) | −2.33390 | + | 6.96799i | −0.317603 | + | 0.948224i | ||||
\(55\) | −1.01974 | + | 2.46186i | −0.137501 | + | 0.331957i | ||||
\(56\) | 0.868740 | + | 11.2776i | 0.116090 | + | 1.50704i | ||||
\(57\) | 5.22197 | + | 6.31499i | 0.691666 | + | 0.836441i | ||||
\(58\) | −8.29907 | + | 7.66307i | −1.08972 | + | 1.00621i | ||||
\(59\) | 3.36410 | − | 5.03474i | 0.437969 | − | 0.655467i | −0.545170 | − | 0.838325i | \(-0.683535\pi\) |
0.983139 | + | 0.182858i | \(0.0585350\pi\) | |||||||
\(60\) | 0.600076 | − | 3.41173i | 0.0774695 | − | 0.440453i | ||||
\(61\) | −8.78985 | − | 1.74841i | −1.12542 | − | 0.223861i | −0.402925 | − | 0.915233i | \(-0.632007\pi\) |
−0.722499 | + | 0.691372i | \(0.757007\pi\) | |||||||
\(62\) | 5.47429 | − | 7.52595i | 0.695235 | − | 0.955797i | ||||
\(63\) | −6.73921 | − | 9.92548i | −0.849061 | − | 1.25049i | ||||
\(64\) | 6.45649 | + | 4.72374i | 0.807062 | + | 0.590467i | ||||
\(65\) | − | 3.83211i | − | 0.475314i | ||||||
\(66\) | 6.17363 | + | 2.11898i | 0.759921 | + | 0.260829i | ||||
\(67\) | −0.123698 | + | 0.621873i | −0.0151121 | + | 0.0759739i | −0.987605 | − | 0.156957i | \(-0.949832\pi\) |
0.972493 | + | 0.232931i | \(0.0748316\pi\) | |||||||
\(68\) | 4.56509 | + | 2.33239i | 0.553598 | + | 0.282844i | ||||
\(69\) | −0.204224 | + | 0.682351i | −0.0245856 | + | 0.0821455i | ||||
\(70\) | 3.83667 | + | 4.15510i | 0.458570 | + | 0.496629i | ||||
\(71\) | −6.97840 | + | 2.89055i | −0.828184 | + | 0.343045i | −0.756183 | − | 0.654360i | \(-0.772938\pi\) |
−0.0720003 | + | 0.997405i | \(0.522938\pi\) | |||||||
\(72\) | −8.43208 | − | 0.948688i | −0.993730 | − | 0.111804i | ||||
\(73\) | −6.92553 | − | 2.86865i | −0.810571 | − | 0.335750i | −0.0613895 | − | 0.998114i | \(-0.519553\pi\) |
−0.749182 | + | 0.662364i | \(0.769553\pi\) | |||||||
\(74\) | 9.97381 | − | 3.67327i | 1.15943 | − | 0.427009i | ||||
\(75\) | −0.822153 | − | 1.52449i | −0.0949341 | − | 0.176033i | ||||
\(76\) | −5.86613 | + | 7.42424i | −0.672891 | + | 0.851619i | ||||
\(77\) | −8.86038 | + | 5.92032i | −1.00973 | + | 0.674683i | ||||
\(78\) | −9.36863 | + | 0.582233i | −1.06079 | + | 0.0659249i | ||||
\(79\) | −12.0007 | − | 12.0007i | −1.35018 | − | 1.35018i | −0.885452 | − | 0.464730i | \(-0.846151\pi\) |
−0.464730 | − | 0.885452i | \(-0.653849\pi\) | |||||||
\(80\) | 3.99725 | − | 0.148195i | 0.446907 | − | 0.0165687i | ||||
\(81\) | 8.26281 | − | 3.56734i | 0.918090 | − | 0.396371i | ||||
\(82\) | −0.946017 | + | 0.579000i | −0.104470 | + | 0.0639399i | ||||
\(83\) | 1.02021 | − | 0.681680i | 0.111982 | − | 0.0748241i | −0.498318 | − | 0.866994i | \(-0.666049\pi\) |
0.610300 | + | 0.792170i | \(0.291049\pi\) | |||||||
\(84\) | 9.57535 | − | 10.0111i | 1.04476 | − | 1.09230i | ||||
\(85\) | 2.51395 | − | 0.500056i | 0.272677 | − | 0.0542387i | ||||
\(86\) | 13.5349 | + | 6.24876i | 1.45951 | + | 0.673821i | ||||
\(87\) | 13.7729 | + | 1.30486i | 1.47661 | + | 0.139896i | ||||
\(88\) | −0.898288 | + | 7.48319i | −0.0957579 | + | 0.797711i | ||||
\(89\) | 12.8800 | − | 5.33508i | 1.36528 | − | 0.565517i | 0.424775 | − | 0.905299i | \(-0.360353\pi\) |
0.940504 | + | 0.339782i | \(0.110353\pi\) | |||||||
\(90\) | −3.60211 | + | 2.24160i | −0.379696 | + | 0.236286i | ||||
\(91\) | 8.51401 | − | 12.7421i | 0.892511 | − | 1.33574i | ||||
\(92\) | −0.819837 | − | 0.0654353i | −0.0854739 | − | 0.00682210i | ||||
\(93\) | −11.3388 | + | 1.15933i | −1.17578 | + | 0.120216i | ||||
\(94\) | 6.98569 | − | 1.10246i | 0.720519 | − | 0.113710i | ||||
\(95\) | 4.73103i | 0.485394i | ||||||||
\(96\) | −0.969628 | − | 9.74986i | −0.0989622 | − | 0.995091i | ||||
\(97\) | − | 6.06601i | − | 0.615909i | −0.951401 | − | 0.307955i | \(-0.900355\pi\) | ||
0.951401 | − | 0.307955i | \(-0.0996445\pi\) | |||||||
\(98\) | 1.98247 | + | 12.5618i | 0.200260 | + | 1.26893i | ||||
\(99\) | −3.11401 | − | 7.36265i | −0.312970 | − | 0.739974i | ||||
\(100\) | 1.52225 | − | 1.29721i | 0.152225 | − | 0.129721i | ||||
\(101\) | 5.55610 | − | 8.31530i | 0.552853 | − | 0.827403i | −0.444817 | − | 0.895621i | \(-0.646731\pi\) |
0.997670 | + | 0.0682184i | \(0.0217315\pi\) | |||||||
\(102\) | −1.60448 | − | 6.07007i | −0.158868 | − | 0.601026i | ||||
\(103\) | 10.2047 | − | 4.22694i | 1.00550 | − | 0.416493i | 0.181691 | − | 0.983356i | \(-0.441843\pi\) |
0.823812 | + | 0.566863i | \(0.191843\pi\) | |||||||
\(104\) | −2.92478 | − | 10.4368i | −0.286799 | − | 1.02341i | ||||
\(105\) | 0.653306 | − | 6.89569i | 0.0637562 | − | 0.672951i | ||||
\(106\) | −8.38490 | + | 18.1618i | −0.814414 | + | 1.76403i | ||||
\(107\) | −12.6357 | + | 2.51340i | −1.22154 | + | 0.242979i | −0.763414 | − | 0.645909i | \(-0.776478\pi\) |
−0.458124 | + | 0.888888i | \(0.651478\pi\) | |||||||
\(108\) | 6.02750 | + | 8.46577i | 0.579996 | + | 0.814619i | ||||
\(109\) | −5.04755 | + | 3.37267i | −0.483468 | + | 0.323043i | −0.773306 | − | 0.634033i | \(-0.781398\pi\) |
0.289838 | + | 0.957076i | \(0.406398\pi\) | |||||||
\(110\) | 1.96724 | + | 3.21423i | 0.187569 | + | 0.306464i | ||||
\(111\) | −11.5031 | − | 6.09370i | −1.09183 | − | 0.578388i | ||||
\(112\) | 13.6205 | + | 8.38816i | 1.28702 | + | 0.792607i | ||||
\(113\) | 6.11758 | + | 6.11758i | 0.575494 | + | 0.575494i | 0.933658 | − | 0.358165i | \(-0.116597\pi\) |
−0.358165 | + | 0.933658i | \(0.616597\pi\) | |||||||
\(114\) | 11.5663 | − | 0.718812i | 1.08328 | − | 0.0673229i | ||||
\(115\) | −0.341919 | + | 0.228463i | −0.0318841 | + | 0.0213043i | ||||
\(116\) | 1.86009 | + | 15.8661i | 0.172705 | + | 1.47313i | ||||
\(117\) | 8.18931 | + | 8.06850i | 0.757102 | + | 0.745933i | ||||
\(118\) | −2.95949 | − | 8.03573i | −0.272443 | − | 0.739749i | ||||
\(119\) | 9.47014 | + | 3.92266i | 0.868126 | + | 0.359590i | ||||
\(120\) | −3.40267 | − | 3.52446i | −0.310620 | − | 0.321738i | ||||
\(121\) | 3.60255 | − | 1.49222i | 0.327504 | − | 0.135657i | ||||
\(122\) | −9.31175 | + | 8.59814i | −0.843046 | + | 0.778439i | ||||
\(123\) | 1.30138 | + | 0.389494i | 0.117341 | + | 0.0351195i | ||||
\(124\) | −4.05317 | − | 12.5215i | −0.363985 | − | 1.12446i | ||||
\(125\) | 0.195090 | − | 0.980785i | 0.0174494 | − | 0.0877241i | ||||
\(126\) | −16.9577 | − | 0.549486i | −1.51071 | − | 0.0489521i | ||||
\(127\) | − | 10.4529i | − | 0.927547i | −0.885954 | − | 0.463774i | \(-0.846495\pi\) | ||
0.885954 | − | 0.463774i | \(-0.153505\pi\) | |||||||
\(128\) | 10.7734 | − | 3.45444i | 0.952246 | − | 0.305332i | ||||
\(129\) | −5.36495 | − | 17.4522i | −0.472357 | − | 1.53658i | ||||
\(130\) | −4.38264 | − | 3.18788i | −0.384383 | − | 0.279596i | ||||
\(131\) | 12.5122 | + | 2.48883i | 1.09319 | + | 0.217450i | 0.708582 | − | 0.705629i | \(-0.249335\pi\) |
0.384612 | + | 0.923078i | \(0.374335\pi\) | |||||||
\(132\) | 7.55916 | − | 5.29780i | 0.657940 | − | 0.461114i | ||||
\(133\) | −10.5112 | + | 15.7311i | −0.911438 | + | 1.36406i | ||||
\(134\) | 0.608310 | + | 0.658797i | 0.0525500 | + | 0.0569114i | ||||
\(135\) | 4.98891 | + | 1.45285i | 0.429377 | + | 0.125041i | ||||
\(136\) | 6.46511 | − | 3.28063i | 0.554378 | − | 0.281312i | ||||
\(137\) | 4.77431 | − | 11.5262i | 0.407897 | − | 0.984750i | −0.577793 | − | 0.816183i | \(-0.696086\pi\) |
0.985690 | − | 0.168567i | \(-0.0539139\pi\) | |||||||
\(138\) | 0.610489 | + | 0.801202i | 0.0519683 | + | 0.0682028i | ||||
\(139\) | −11.6971 | + | 2.32671i | −0.992138 | + | 0.197349i | −0.664365 | − | 0.747408i | \(-0.731298\pi\) |
−0.327773 | + | 0.944757i | \(0.606298\pi\) | |||||||
\(140\) | 7.94371 | − | 0.931290i | 0.671366 | − | 0.0787084i | ||||
\(141\) | −6.71586 | − | 5.46993i | −0.565578 | − | 0.460651i | ||||
\(142\) | −2.49943 | + | 10.3855i | −0.209747 | + | 0.871536i | ||||
\(143\) | 7.22056 | − | 7.22056i | 0.603814 | − | 0.603814i | ||||
\(144\) | −8.09951 | + | 8.85426i | −0.674960 | + | 0.737855i | ||||
\(145\) | 5.64795 | + | 5.64795i | 0.469036 | + | 0.469036i | ||||
\(146\) | −9.04202 | + | 5.53408i | −0.748323 | + | 0.458004i | ||||
\(147\) | 9.83612 | − | 12.0766i | 0.811270 | − | 0.996059i | ||||
\(148\) | 4.09610 | − | 14.4624i | 0.336698 | − | 1.18880i | ||||
\(149\) | 2.16138 | + | 10.8660i | 0.177067 | + | 0.890176i | 0.962511 | + | 0.271243i | \(0.0874348\pi\) |
−0.785444 | + | 0.618933i | \(0.787565\pi\) | |||||||
\(150\) | −2.42744 | − | 0.327936i | −0.198200 | − | 0.0267758i | ||||
\(151\) | −20.4834 | − | 8.48448i | −1.66691 | − | 0.690458i | −0.668339 | − | 0.743857i | \(-0.732994\pi\) |
−0.998573 | + | 0.0533994i | \(0.982994\pi\) | |||||||
\(152\) | 3.61087 | + | 12.8850i | 0.292880 | + | 1.04511i | ||||
\(153\) | −4.22449 | + | 6.42525i | −0.341530 | + | 0.519451i | ||||
\(154\) | −0.599986 | + | 15.0583i | −0.0483482 | + | 1.21343i | ||||
\(155\) | −5.47155 | − | 3.65597i | −0.439485 | − | 0.293655i | ||||
\(156\) | −7.12776 | + | 11.1989i | −0.570678 | + | 0.896630i | ||||
\(157\) | 2.62154 | − | 13.1794i | 0.209222 | − | 1.05183i | −0.723250 | − | 0.690587i | \(-0.757352\pi\) |
0.932472 | − | 0.361243i | \(-0.117648\pi\) | |||||||
\(158\) | −23.7079 | + | 3.74153i | −1.88610 | + | 0.297660i | ||||
\(159\) | 23.4182 | − | 7.19896i | 1.85718 | − | 0.570915i | ||||
\(160\) | 3.15578 | − | 4.69479i | 0.249486 | − | 0.371156i | ||||
\(161\) | −1.64450 | −0.129605 | ||||||||
\(162\) | 2.79389 | − | 12.4175i | 0.219508 | − | 0.975611i | ||||
\(163\) | −7.06124 | − | 1.40457i | −0.553079 | − | 0.110014i | −0.0893646 | − | 0.995999i | \(-0.528484\pi\) |
−0.463714 | + | 0.885985i | \(0.653484\pi\) | |||||||
\(164\) | −0.124798 | + | 1.56359i | −0.00974506 | + | 0.122096i | ||||
\(165\) | 1.32336 | − | 4.42161i | 0.103023 | − | 0.344222i | ||||
\(166\) | 0.0690839 | − | 1.73385i | 0.00536195 | − | 0.134573i | ||||
\(167\) | −8.04625 | − | 19.4254i | −0.622638 | − | 1.50318i | −0.848595 | − | 0.529043i | \(-0.822551\pi\) |
0.225957 | − | 0.974137i | \(-0.427449\pi\) | |||||||
\(168\) | −3.48372 | − | 19.2791i | −0.268775 | − | 1.48741i | ||||
\(169\) | −0.644841 | + | 1.55678i | −0.0496031 | + | 0.119753i | ||||
\(170\) | 1.51943 | − | 3.29111i | 0.116535 | − | 0.252416i | ||||
\(171\) | −10.1103 | − | 9.96119i | −0.773157 | − | 0.761751i | ||||
\(172\) | 18.4060 | − | 10.2811i | 1.40344 | − | 0.783927i | ||||
\(173\) | −5.49247 | − | 8.22007i | −0.417585 | − | 0.624960i | 0.561725 | − | 0.827324i | \(-0.310138\pi\) |
−0.979310 | + | 0.202364i | \(0.935138\pi\) | |||||||
\(174\) | 12.9498 | − | 14.6661i | 0.981724 | − | 1.11183i | ||||
\(175\) | 2.82776 | − | 2.82776i | 0.213759 | − | 0.213759i | ||||
\(176\) | 7.81097 | + | 7.25250i | 0.588774 | + | 0.546678i | ||||
\(177\) | −4.90959 | + | 9.26786i | −0.369027 | + | 0.696615i | ||||
\(178\) | 4.61318 | − | 19.1686i | 0.345773 | − | 1.43675i | ||||
\(179\) | 0.194311 | + | 0.290807i | 0.0145235 | + | 0.0217360i | 0.838660 | − | 0.544655i | \(-0.183339\pi\) |
−0.824137 | + | 0.566391i | \(0.808339\pi\) | |||||||
\(180\) | −0.432914 | + | 5.98436i | −0.0322675 | + | 0.446048i | ||||
\(181\) | 0.631934 | + | 3.17695i | 0.0469713 | + | 0.236141i | 0.997138 | − | 0.0756012i | \(-0.0240876\pi\) |
−0.950167 | + | 0.311742i | \(0.899088\pi\) | |||||||
\(182\) | −7.49000 | − | 20.3372i | −0.555195 | − | 1.50749i | ||||
\(183\) | 15.4535 | + | 1.46409i | 1.14236 | + | 0.108228i | ||||
\(184\) | −0.756847 | + | 0.883182i | −0.0557955 | + | 0.0651091i | ||||
\(185\) | −2.87611 | − | 6.94355i | −0.211456 | − | 0.510500i | ||||
\(186\) | −8.10669 | + | 13.9322i | −0.594412 | + | 1.02156i | ||||
\(187\) | 5.67908 | + | 3.79464i | 0.415296 | + | 0.277492i | ||||
\(188\) | 4.55046 | − | 8.90640i | 0.331876 | − | 0.649566i | ||||
\(189\) | 13.3607 | + | 15.9150i | 0.971850 | + | 1.15765i | ||||
\(190\) | 5.41071 | + | 3.93568i | 0.392534 | + | 0.285525i | ||||
\(191\) | −15.0633 | −1.08994 | −0.544971 | − | 0.838455i | \(-0.683459\pi\) | ||||
−0.544971 | + | 0.838455i | \(0.683459\pi\) | |||||||
\(192\) | −11.9572 | − | 7.00185i | −0.862935 | − | 0.505315i | ||||
\(193\) | 12.4821 | 0.898478 | 0.449239 | − | 0.893412i | \(-0.351695\pi\) | ||||
0.449239 | + | 0.893412i | \(0.351695\pi\) | |||||||
\(194\) | −6.93746 | − | 5.04623i | −0.498081 | − | 0.362298i | ||||
\(195\) | 0.675118 | + | 6.60298i | 0.0483462 | + | 0.472849i | ||||
\(196\) | 16.0156 | + | 8.18270i | 1.14397 | + | 0.584479i | ||||
\(197\) | 0.171637 | + | 0.114684i | 0.0122286 | + | 0.00817090i | 0.561670 | − | 0.827362i | \(-0.310159\pi\) |
−0.549441 | + | 0.835533i | \(0.685159\pi\) | |||||||
\(198\) | −11.0109 | − | 2.56352i | −0.782510 | − | 0.182181i | ||||
\(199\) | 2.33282 | + | 5.63193i | 0.165369 | + | 0.399237i | 0.984741 | − | 0.174026i | \(-0.0556775\pi\) |
−0.819372 | + | 0.573262i | \(0.805678\pi\) | |||||||
\(200\) | −0.217236 | − | 2.82007i | −0.0153609 | − | 0.199409i | ||||
\(201\) | 0.103583 | − | 1.09332i | 0.00730615 | − | 0.0771169i | ||||
\(202\) | −4.88785 | − | 13.2717i | −0.343908 | − | 0.933793i | ||||
\(203\) | 6.23159 | + | 31.3283i | 0.437372 | + | 2.19882i | ||||
\(204\) | −8.27686 | − | 3.21462i | −0.579496 | − | 0.225069i | ||||
\(205\) | 0.435723 | + | 0.652105i | 0.0304322 | + | 0.0455450i | ||||
\(206\) | 3.65499 | − | 15.1871i | 0.254655 | − | 1.05814i | ||||
\(207\) | 0.231679 | − | 1.21172i | 0.0161028 | − | 0.0842201i | ||||
\(208\) | −14.3692 | − | 5.33724i | −0.996327 | − | 0.370071i | ||||
\(209\) | −8.91435 | + | 8.91435i | −0.616618 | + | 0.616618i | ||||
\(210\) | −7.34287 | − | 6.48360i | −0.506706 | − | 0.447411i | ||||
\(211\) | −11.3350 | − | 16.9640i | −0.780334 | − | 1.16785i | −0.982089 | − | 0.188416i | \(-0.939665\pi\) |
0.201756 | − | 0.979436i | \(-0.435335\pi\) | |||||||
\(212\) | 13.7957 | + | 24.6981i | 0.947494 | + | 1.69627i | ||||
\(213\) | 11.5150 | − | 6.21002i | 0.788996 | − | 0.425504i | ||||
\(214\) | −7.63699 | + | 16.5418i | −0.522054 | + | 1.13078i | ||||
\(215\) | 4.03400 | − | 9.73895i | 0.275117 | − | 0.664191i | ||||
\(216\) | 14.6962 | + | 0.149141i | 0.999949 | + | 0.0101478i | ||||
\(217\) | −10.0707 | − | 24.3129i | −0.683646 | − | 1.65047i | ||||
\(218\) | −0.341798 | + | 8.57838i | −0.0231495 | + | 0.581001i | ||||
\(219\) | 12.4385 | + | 3.72278i | 0.840518 | + | 0.251562i | ||||
\(220\) | 5.31251 | + | 0.424018i | 0.358169 | + | 0.0285873i | ||||
\(221\) | −9.63374 | − | 1.91627i | −0.648036 | − | 0.128902i | ||||
\(222\) | −16.5384 | + | 8.08642i | −1.10999 | + | 0.542725i | ||||
\(223\) | −20.5232 | −1.37434 | −0.687168 | − | 0.726498i | \(-0.741147\pi\) | ||||
−0.687168 | + | 0.726498i | \(0.741147\pi\) | |||||||
\(224\) | 20.9239 | − | 8.59926i | 1.39804 | − | 0.574562i | ||||
\(225\) | 1.68520 | + | 2.48195i | 0.112347 | + | 0.165464i | ||||
\(226\) | 12.0856 | − | 1.90732i | 0.803921 | − | 0.126873i | ||||
\(227\) | −4.13598 | + | 20.7930i | −0.274515 | + | 1.38008i | 0.559726 | + | 0.828678i | \(0.310906\pi\) |
−0.834240 | + | 0.551401i | \(0.814094\pi\) | |||||||
\(228\) | 8.79978 | − | 13.8259i | 0.582780 | − | 0.915644i | ||||
\(229\) | 14.0325 | + | 9.37625i | 0.927297 | + | 0.619600i | 0.924823 | − | 0.380397i | \(-0.124213\pi\) |
0.00247357 | + | 0.999997i | \(0.499213\pi\) | |||||||
\(230\) | −0.0231532 | + | 0.581095i | −0.00152668 | + | 0.0383163i | ||||
\(231\) | 14.2240 | − | 11.7621i | 0.935873 | − | 0.773888i | ||||
\(232\) | 19.6929 | + | 11.0715i | 1.29290 | + | 0.726881i | ||||
\(233\) | −13.4786 | − | 5.58301i | −0.883011 | − | 0.365755i | −0.105347 | − | 0.994435i | \(-0.533595\pi\) |
−0.777664 | + | 0.628680i | \(0.783595\pi\) | |||||||
\(234\) | 16.0402 | − | 2.65374i | 1.04858 | − | 0.173480i | ||||
\(235\) | −0.975601 | − | 4.90468i | −0.0636412 | − | 0.319946i | ||||
\(236\) | −11.6521 | − | 3.30016i | −0.758489 | − | 0.214822i | ||||
\(237\) | 22.7922 | + | 18.5638i | 1.48051 | + | 1.20585i | ||||
\(238\) | 12.3643 | − | 7.56744i | 0.801457 | − | 0.490524i | ||||
\(239\) | 8.83587 | + | 8.83587i | 0.571545 | + | 0.571545i | 0.932560 | − | 0.361015i | \(-0.117570\pi\) |
−0.361015 | + | 0.932560i | \(0.617570\pi\) | |||||||
\(240\) | −6.86143 | + | 0.959562i | −0.442903 | + | 0.0619395i | ||||
\(241\) | −2.45694 | + | 2.45694i | −0.158265 | + | 0.158265i | −0.781798 | − | 0.623532i | \(-0.785697\pi\) |
0.623532 | + | 0.781798i | \(0.285697\pi\) | |||||||
\(242\) | 1.29031 | − | 5.36146i | 0.0829443 | − | 0.344648i | ||||
\(243\) | −13.6089 | + | 7.60247i | −0.873012 | + | 0.487698i | ||||
\(244\) | 2.08706 | + | 17.8022i | 0.133610 | + | 1.13967i | ||||
\(245\) | 8.81967 | − | 1.75434i | 0.563468 | − | 0.112081i | ||||
\(246\) | 1.52805 | − | 1.16432i | 0.0974247 | − | 0.0742344i | ||||
\(247\) | 6.93799 | − | 16.7498i | 0.441454 | − | 1.06576i | ||||
\(248\) | −17.6921 | − | 5.78100i | −1.12345 | − | 0.367094i | ||||
\(249\) | −1.63779 | + | 1.35431i | −0.103791 | + | 0.0858262i | ||||
\(250\) | −0.959395 | − | 1.03902i | −0.0606774 | − | 0.0657134i | ||||
\(251\) | 1.04078 | − | 1.55764i | 0.0656937 | − | 0.0983176i | −0.797168 | − | 0.603757i | \(-0.793670\pi\) |
0.862862 | + | 0.505440i | \(0.168670\pi\) | |||||||
\(252\) | −14.7353 | + | 18.9367i | −0.928235 | + | 1.19290i | ||||
\(253\) | −1.07473 | − | 0.213777i | −0.0675676 | − | 0.0134400i | ||||
\(254\) | −11.9546 | − | 8.69565i | −0.750100 | − | 0.545614i | ||||
\(255\) | −4.24362 | + | 1.30452i | −0.265746 | + | 0.0816925i | ||||
\(256\) | 5.01156 | − | 15.1949i | 0.313223 | − | 0.949680i | ||||
\(257\) | 20.4881i | 1.27801i | 0.769203 | + | 0.639005i | \(0.220654\pi\) | ||||
−0.769203 | + | 0.639005i | \(0.779346\pi\) | |||||||
\(258\) | −24.4224 | − | 8.38253i | −1.52047 | − | 0.521874i | ||||
\(259\) | 5.86354 | − | 29.4780i | 0.364342 | − | 1.83167i | ||||
\(260\) | −7.29172 | + | 2.36031i | −0.452213 | + | 0.146380i | ||||
\(261\) | −23.9615 | + | 0.178062i | −1.48318 | + | 0.0110217i | ||||
\(262\) | 13.2551 | − | 12.2393i | 0.818902 | − | 0.756145i | ||||
\(263\) | −16.0545 | + | 6.65000i | −0.989965 | + | 0.410057i | −0.818108 | − | 0.575065i | \(-0.804977\pi\) |
−0.171857 | + | 0.985122i | \(0.554977\pi\) | |||||||
\(264\) | 0.229469 | − | 13.0523i | 0.0141228 | − | 0.803313i | ||||
\(265\) | 13.0682 | + | 5.41303i | 0.802774 | + | 0.332520i | ||||
\(266\) | 9.24698 | + | 25.1078i | 0.566969 | + | 1.53946i | ||||
\(267\) | −21.2532 | + | 11.4618i | −1.30068 | + | 0.701452i | ||||
\(268\) | 1.25949 | − | 0.147657i | 0.0769354 | − | 0.00901960i | ||||
\(269\) | 7.02472 | − | 4.69377i | 0.428305 | − | 0.286184i | −0.322674 | − | 0.946510i | \(-0.604582\pi\) |
0.750979 | + | 0.660326i | \(0.229582\pi\) | |||||||
\(270\) | 5.81177 | − | 4.49703i | 0.353693 | − | 0.273681i | ||||
\(271\) | −11.2864 | − | 11.2864i | −0.685600 | − | 0.685600i | 0.275656 | − | 0.961256i | \(-0.411105\pi\) |
−0.961256 | + | 0.275656i | \(0.911105\pi\) | |||||||
\(272\) | 1.62630 | − | 10.1230i | 0.0986087 | − | 0.613798i | ||||
\(273\) | −12.4254 | + | 23.4555i | −0.752019 | + | 1.41959i | ||||
\(274\) | −9.21041 | − | 15.0487i | −0.556421 | − | 0.909125i | ||||
\(275\) | 2.21562 | − | 1.48043i | 0.133607 | − | 0.0892732i | ||||
\(276\) | 1.42416 | − | 0.0316845i | 0.0857245 | − | 0.00190718i | ||||
\(277\) | −15.1495 | + | 3.01343i | −0.910248 | + | 0.181060i | −0.627938 | − | 0.778264i | \(-0.716101\pi\) |
−0.282310 | + | 0.959323i | \(0.591101\pi\) | |||||||
\(278\) | −7.06973 | + | 15.3131i | −0.424014 | + | 0.918421i | ||||
\(279\) | 19.3332 | − | 3.99519i | 1.15745 | − | 0.239186i | ||||
\(280\) | 5.54318 | − | 9.85965i | 0.331269 | − | 0.589227i | ||||
\(281\) | −0.127649 | + | 0.0528739i | −0.00761489 | + | 0.00315419i | −0.386488 | − | 0.922295i | \(-0.626312\pi\) |
0.378873 | + | 0.925449i | \(0.376312\pi\) | |||||||
\(282\) | −11.8426 | + | 3.13032i | −0.705216 | + | 0.186408i | ||||
\(283\) | 5.69258 | − | 8.51955i | 0.338389 | − | 0.506435i | −0.622779 | − | 0.782397i | \(-0.713997\pi\) |
0.961168 | + | 0.275963i | \(0.0889966\pi\) | |||||||
\(284\) | 9.79832 | + | 11.4981i | 0.581423 | + | 0.682286i | ||||
\(285\) | −0.833485 | − | 8.15189i | −0.0493714 | − | 0.482877i | ||||
\(286\) | −2.25120 | − | 14.2646i | −0.133116 | − | 0.843482i | ||||
\(287\) | 3.13638i | 0.185135i | ||||||||
\(288\) | 3.38841 | + | 16.6289i | 0.199664 | + | 0.979864i | ||||
\(289\) | 10.4300i | 0.613528i | ||||||||
\(290\) | 11.1578 | − | 1.76090i | 0.655209 | − | 0.103403i | ||||
\(291\) | 1.06867 | + | 10.4521i | 0.0626467 | + | 0.612715i | ||||
\(292\) | −1.19281 | + | 14.9447i | −0.0698042 | + | 0.874575i | ||||
\(293\) | −4.43182 | + | 6.63269i | −0.258910 | + | 0.387486i | −0.938037 | − | 0.346535i | \(-0.887358\pi\) |
0.679127 | + | 0.734020i | \(0.262358\pi\) | |||||||
\(294\) | −5.62899 | − | 21.2955i | −0.328289 | − | 1.24198i | ||||
\(295\) | −5.59430 | + | 2.31723i | −0.325713 | + | 0.134915i | ||||
\(296\) | −13.1326 | − | 16.7157i | −0.763319 | − | 0.971578i | ||||
\(297\) | 6.66275 | + | 12.1377i | 0.386612 | + | 0.704303i | ||||
\(298\) | 14.2250 | + | 6.56738i | 0.824035 | + | 0.380438i | ||||
\(299\) | 1.54557 | − | 0.307433i | 0.0893825 | − | 0.0177793i | ||||
\(300\) | −2.39440 | + | 2.50337i | −0.138241 | + | 0.144532i | ||||
\(301\) | 35.0510 | − | 23.4203i | 2.02031 | − | 1.34993i | ||||
\(302\) | −26.7432 | + | 16.3679i | −1.53890 | + | 0.941868i | ||||
\(303\) | −8.10860 | + | 15.3067i | −0.465827 | + | 0.879345i | ||||
\(304\) | 17.7399 | + | 6.58924i | 1.01745 | + | 0.377919i | ||||
\(305\) | 6.33713 | + | 6.33713i | 0.362863 | + | 0.362863i | ||||
\(306\) | 3.83402 | + | 10.1765i | 0.219176 | + | 0.581750i | ||||
\(307\) | −11.0786 | + | 7.40246i | −0.632287 | + | 0.422481i | −0.829988 | − | 0.557782i | \(-0.811653\pi\) |
0.197701 | + | 0.980262i | \(0.436653\pi\) | |||||||
\(308\) | 16.7225 | + | 13.2130i | 0.952854 | + | 0.752880i | ||||
\(309\) | −16.8388 | + | 9.08112i | −0.957925 | + | 0.516607i | ||||
\(310\) | −8.73290 | + | 3.21625i | −0.495995 | + | 0.182671i | ||||
\(311\) | 6.12917 | + | 2.53878i | 0.347553 | + | 0.143961i | 0.549630 | − | 0.835409i | \(-0.314769\pi\) |
−0.202076 | + | 0.979370i | \(0.564769\pi\) | |||||||
\(312\) | 6.87829 | + | 17.4680i | 0.389406 | + | 0.988930i | ||||
\(313\) | −5.36304 | + | 2.22145i | −0.303137 | + | 0.125564i | −0.529067 | − | 0.848580i | \(-0.677458\pi\) |
0.225930 | + | 0.974144i | \(0.427458\pi\) | |||||||
\(314\) | −12.8920 | − | 13.9619i | −0.727535 | − | 0.787917i | ||||
\(315\) | 0.0891503 | + | 11.9968i | 0.00502305 | + | 0.675945i | ||||
\(316\) | −15.4433 | + | 30.2264i | −0.868752 | + | 1.70037i | ||||
\(317\) | −2.54258 | + | 12.7824i | −0.142806 | + | 0.717933i | 0.841331 | + | 0.540520i | \(0.181773\pi\) |
−0.984137 | + | 0.177412i | \(0.943227\pi\) | |||||||
\(318\) | 11.2481 | − | 32.7713i | 0.630763 | − | 1.83772i | ||||
\(319\) | 21.2840i | 1.19168i | ||||||||
\(320\) | −2.74401 | − | 7.51468i | −0.153395 | − | 0.420083i | ||||
\(321\) | 21.3294 | − | 6.55683i | 1.19049 | − | 0.365967i | ||||
\(322\) | −1.36804 | + | 1.88075i | −0.0762378 | + | 0.104810i | ||||
\(323\) | 11.8936 | + | 2.36578i | 0.661778 | + | 0.131636i | ||||
\(324\) | −11.8772 | − | 13.5252i | −0.659846 | − | 0.751401i | ||||
\(325\) | −2.12901 | + | 3.18628i | −0.118096 | + | 0.176743i | ||||
\(326\) | −7.48050 | + | 6.90724i | −0.414307 | + | 0.382556i | ||||
\(327\) | 8.10310 | − | 6.70058i | 0.448103 | − | 0.370543i | ||||
\(328\) | 1.68440 | + | 1.44345i | 0.0930054 | + | 0.0797014i | ||||
\(329\) | 7.65304 | − | 18.4761i | 0.421926 | − | 1.01862i | ||||
\(330\) | −3.95594 | − | 5.19175i | −0.217767 | − | 0.285797i | ||||
\(331\) | −5.23461 | + | 1.04123i | −0.287720 | + | 0.0572311i | −0.336840 | − | 0.941562i | \(-0.609358\pi\) |
0.0491202 | + | 0.998793i | \(0.484358\pi\) | |||||||
\(332\) | −1.92547 | − | 1.52138i | −0.105674 | − | 0.0834964i | ||||
\(333\) | 20.8942 | + | 8.47331i | 1.14499 | + | 0.464335i | ||||
\(334\) | −28.9096 | − | 6.95751i | −1.58187 | − | 0.380698i | ||||
\(335\) | 0.448345 | − | 0.448345i | 0.0244957 | − | 0.0244957i | ||||
\(336\) | −24.9468 | − | 12.0538i | −1.36096 | − | 0.657589i | ||||
\(337\) | 2.81400 | + | 2.81400i | 0.153288 | + | 0.153288i | 0.779585 | − | 0.626297i | \(-0.215430\pi\) |
−0.626297 | + | 0.779585i | \(0.715430\pi\) | |||||||
\(338\) | 1.24400 | + | 2.03255i | 0.0676647 | + | 0.110556i | ||||
\(339\) | −11.6188 | − | 9.46325i | −0.631045 | − | 0.513973i | ||||
\(340\) | −2.49992 | − | 4.47554i | −0.135577 | − | 0.242720i | ||||
\(341\) | −3.42096 | − | 17.1983i | −0.185255 | − | 0.931341i | ||||
\(342\) | −19.8029 | + | 3.27624i | −1.07082 | + | 0.177159i | ||||
\(343\) | 7.36143 | + | 3.04920i | 0.397480 | + | 0.164641i | ||||
\(344\) | 3.55356 | − | 29.6029i | 0.191595 | − | 1.59608i | ||||
\(345\) | 0.548900 | − | 0.453894i | 0.0295518 | − | 0.0244368i | ||||
\(346\) | −13.9701 | − | 0.556627i | −0.751037 | − | 0.0299244i | ||||
\(347\) | −8.86303 | − | 5.92208i | −0.475792 | − | 0.317914i | 0.294449 | − | 0.955667i | \(-0.404864\pi\) |
−0.770241 | + | 0.637753i | \(0.779864\pi\) | |||||||
\(348\) | −6.00025 | − | 27.0107i | −0.321647 | − | 1.44793i | ||||
\(349\) | 0.280506 | − | 1.41020i | 0.0150152 | − | 0.0754863i | −0.972551 | − | 0.232689i | \(-0.925248\pi\) |
0.987566 | + | 0.157203i | \(0.0502476\pi\) | |||||||
\(350\) | −0.881628 | − | 5.58638i | −0.0471250 | − | 0.298605i | ||||
\(351\) | −15.5322 | − | 12.4598i | −0.829047 | − | 0.665056i | ||||
\(352\) | 14.7923 | − | 2.89986i | 0.788430 | − | 0.154563i | ||||
\(353\) | 23.3031 | 1.24030 | 0.620148 | − | 0.784485i | \(-0.287072\pi\) | ||||
0.620148 | + | 0.784485i | \(0.287072\pi\) | |||||||
\(354\) | 6.51509 | + | 13.3247i | 0.346273 | + | 0.708201i | ||||
\(355\) | 7.40823 | + | 1.47359i | 0.393188 | + | 0.0782100i | ||||
\(356\) | −18.0847 | − | 21.2220i | −0.958489 | − | 1.12476i | ||||
\(357\) | −17.0088 | − | 5.09062i | −0.900199 | − | 0.269424i | ||||
\(358\) | 0.494231 | + | 0.0196922i | 0.0261209 | + | 0.00104076i | ||||
\(359\) | 4.26567 | + | 10.2982i | 0.225134 | + | 0.543520i | 0.995573 | − | 0.0939929i | \(-0.0299631\pi\) |
−0.770439 | + | 0.637513i | \(0.779963\pi\) | |||||||
\(360\) | 6.48396 | + | 5.47342i | 0.341735 | + | 0.288474i | ||||
\(361\) | −1.29450 | + | 3.12520i | −0.0681316 | + | 0.164484i | ||||
\(362\) | 4.15905 | + | 1.92014i | 0.218595 | + | 0.100920i | ||||
\(363\) | −5.94454 | + | 3.20588i | −0.312008 | + | 0.168265i | ||||
\(364\) | −29.4897 | − | 8.35218i | −1.54568 | − | 0.437773i | ||||
\(365\) | 4.16463 | + | 6.23281i | 0.217987 | + | 0.326240i | ||||
\(366\) | 14.5300 | − | 16.4557i | 0.759495 | − | 0.860151i | ||||
\(367\) | −15.5181 | + | 15.5181i | −0.810037 | + | 0.810037i | −0.984639 | − | 0.174602i | \(-0.944136\pi\) |
0.174602 | + | 0.984639i | \(0.444136\pi\) | |||||||
\(368\) | 0.380452 | + | 1.60029i | 0.0198324 | + | 0.0834207i | ||||
\(369\) | −2.31098 | − | 0.441856i | −0.120305 | − | 0.0230021i | ||||
\(370\) | −10.3337 | − | 2.48694i | −0.537223 | − | 0.129290i | ||||
\(371\) | 31.4266 | + | 47.0332i | 1.63159 | + | 2.44184i | ||||
\(372\) | 9.18984 | + | 20.8613i | 0.476471 | + | 1.08161i | ||||
\(373\) | 1.20049 | + | 6.03525i | 0.0621588 | + | 0.312493i | 0.999339 | − | 0.0363522i | \(-0.0115738\pi\) |
−0.937180 | + | 0.348845i | \(0.886574\pi\) | |||||||
\(374\) | 9.06414 | − | 3.33824i | 0.468696 | − | 0.172616i | ||||
\(375\) | −0.163365 | + | 1.72433i | −0.00843614 | + | 0.0890440i | ||||
\(376\) | −6.40046 | − | 12.6133i | −0.330078 | − | 0.650481i | ||||
\(377\) | −11.7134 | − | 28.2787i | −0.603271 | − | 1.45642i | ||||
\(378\) | 29.3160 | − | 2.04070i | 1.50785 | − | 0.104962i | ||||
\(379\) | 6.39024 | + | 4.26982i | 0.328245 | + | 0.219326i | 0.708762 | − | 0.705448i | \(-0.249254\pi\) |
−0.380517 | + | 0.924774i | \(0.624254\pi\) | |||||||
\(380\) | 9.00219 | − | 2.91398i | 0.461803 | − | 0.149484i | ||||
\(381\) | 1.84153 | + | 18.0111i | 0.0943446 | + | 0.922737i | ||||
\(382\) | −12.5309 | + | 17.2273i | −0.641139 | + | 0.881426i | ||||
\(383\) | −15.0433 | −0.768678 | −0.384339 | − | 0.923192i | \(-0.625571\pi\) | ||||
−0.384339 | + | 0.923192i | \(0.625571\pi\) | |||||||
\(384\) | −17.9548 | + | 7.85023i | −0.916251 | + | 0.400605i | ||||
\(385\) | 10.6563 | 0.543095 | ||||||||
\(386\) | 10.3837 | − | 14.2753i | 0.528514 | − | 0.726592i | ||||
\(387\) | 12.3188 | + | 29.1261i | 0.626199 | + | 1.48056i | ||||
\(388\) | −11.5424 | + | 3.73623i | −0.585975 | + | 0.189678i | ||||
\(389\) | −10.7626 | − | 7.19136i | −0.545687 | − | 0.364616i | 0.251963 | − | 0.967737i | \(-0.418924\pi\) |
−0.797650 | + | 0.603121i | \(0.793924\pi\) | |||||||
\(390\) | 8.11321 | + | 4.72083i | 0.410828 | + | 0.239048i | ||||
\(391\) | 0.403366 | + | 0.973812i | 0.0203991 | + | 0.0492478i | ||||
\(392\) | 22.6814 | − | 11.5094i | 1.14559 | − | 0.581313i | ||||
\(393\) | −21.9978 | − | 2.08410i | −1.10964 | − | 0.105129i | ||||
\(394\) | 0.273942 | − | 0.100891i | 0.0138010 | − | 0.00508279i | ||||
\(395\) | 3.31098 | + | 16.6454i | 0.166594 | + | 0.837522i | ||||
\(396\) | −12.0916 | + | 10.4602i | −0.607626 | + | 0.525644i | ||||
\(397\) | −17.2070 | − | 25.7520i | −0.863592 | − | 1.29246i | −0.954989 | − | 0.296643i | \(-0.904133\pi\) |
0.0913961 | − | 0.995815i | \(-0.470867\pi\) | |||||||
\(398\) | 8.38167 | + | 2.01717i | 0.420135 | + | 0.101111i | ||||
\(399\) | 15.3401 | − | 28.9576i | 0.767966 | − | 1.44969i | ||||
\(400\) | −3.40593 | − | 2.09754i | −0.170296 | − | 0.104877i | ||||
\(401\) | 20.5543 | − | 20.5543i | 1.02643 | − | 1.02643i | 0.0267926 | − | 0.999641i | \(-0.491471\pi\) |
0.999641 | − | 0.0267926i | \(-0.00852937\pi\) | |||||||
\(402\) | −1.16422 | − | 1.02798i | −0.0580661 | − | 0.0512711i | ||||
\(403\) | 14.0101 | + | 20.9676i | 0.697891 | + | 1.04447i | ||||
\(404\) | −19.2445 | − | 5.45049i | −0.957448 | − | 0.271172i | ||||
\(405\) | −8.85219 | − | 1.62444i | −0.439869 | − | 0.0807189i | ||||
\(406\) | 41.0130 | + | 18.9348i | 2.03544 | + | 0.939717i | ||||
\(407\) | 7.66398 | − | 18.5025i | 0.379889 | − | 0.917134i | ||||
\(408\) | −10.5619 | + | 6.79174i | −0.522890 | + | 0.336241i | ||||
\(409\) | 1.73134 | + | 4.17981i | 0.0856090 | + | 0.206678i | 0.960886 | − | 0.276943i | \(-0.0893212\pi\) |
−0.875277 | + | 0.483621i | \(0.839321\pi\) | |||||||
\(410\) | 1.10826 | + | 0.0441577i | 0.0547330 | + | 0.00218079i | ||||
\(411\) | −6.19584 | + | 20.7015i | −0.305618 | + | 1.02113i | ||||
\(412\) | −14.3284 | − | 16.8140i | −0.705910 | − | 0.828369i | ||||
\(413\) | −23.7499 | − | 4.72415i | −1.16866 | − | 0.232460i | ||||
\(414\) | −1.19307 | − | 1.27297i | −0.0586359 | − | 0.0625632i | ||||
\(415\) | −1.22699 | −0.0602307 | ||||||||
\(416\) | −18.0576 | + | 11.9936i | −0.885345 | + | 0.588033i | ||||
\(417\) | 19.7451 | − | 6.06980i | 0.966920 | − | 0.297239i | ||||
\(418\) | 2.77928 | + | 17.6107i | 0.135939 | + | 0.861369i | ||||
\(419\) | −2.18148 | + | 10.9670i | −0.106572 | + | 0.535774i | 0.890206 | + | 0.455559i | \(0.150561\pi\) |
−0.996778 | + | 0.0802148i | \(0.974439\pi\) | |||||||
\(420\) | −13.5235 | + | 3.00415i | −0.659878 | + | 0.146588i | ||||
\(421\) | −31.3909 | − | 20.9747i | −1.52990 | − | 1.02225i | −0.982692 | − | 0.185248i | \(-0.940691\pi\) |
−0.547206 | − | 0.836998i | \(-0.684309\pi\) | |||||||
\(422\) | −28.8306 | − | 1.14873i | −1.40345 | − | 0.0559192i | ||||
\(423\) | 12.5355 | + | 8.24191i | 0.609499 | + | 0.400735i | ||||
\(424\) | 39.7227 | + | 4.76835i | 1.92911 | + | 0.231572i | ||||
\(425\) | −2.36809 | − | 0.980896i | −0.114869 | − | 0.0475804i | ||||
\(426\) | 2.47702 | − | 18.3353i | 0.120012 | − | 0.888350i | ||||
\(427\) | 6.99199 | + | 35.1511i | 0.338366 | + | 1.70108i | ||||
\(428\) | 12.5652 | + | 22.4951i | 0.607360 | + | 1.08734i | ||||
\(429\) | −11.1694 | + | 13.7136i | −0.539266 | + | 0.662099i | ||||
\(430\) | −7.78224 | − | 12.7152i | −0.375293 | − | 0.613183i | ||||
\(431\) | 7.26035 | + | 7.26035i | 0.349719 | + | 0.349719i | 0.860005 | − | 0.510286i | \(-0.170460\pi\) |
−0.510286 | + | 0.860005i | \(0.670460\pi\) | |||||||
\(432\) | 12.3961 | − | 16.6834i | 0.596409 | − | 0.802681i | ||||
\(433\) | −8.48094 | + | 8.48094i | −0.407568 | + | 0.407568i | −0.880890 | − | 0.473322i | \(-0.843055\pi\) |
0.473322 | + | 0.880890i | \(0.343055\pi\) | |||||||
\(434\) | −36.1834 | − | 8.70805i | −1.73686 | − | 0.418000i | ||||
\(435\) | −10.7268 | − | 8.73678i | −0.514312 | − | 0.418896i | ||||
\(436\) | 9.52644 | + | 7.52714i | 0.456234 | + | 0.360485i | ||||
\(437\) | −1.90812 | + | 0.379549i | −0.0912779 | + | 0.0181563i | ||||
\(438\) | 14.6050 | − | 11.1286i | 0.697856 | − | 0.531743i | ||||
\(439\) | 10.2537 | − | 24.7545i | 0.489380 | − | 1.18147i | −0.465653 | − | 0.884968i | \(-0.654180\pi\) |
0.955033 | − | 0.296501i | \(-0.0958197\pi\) | |||||||
\(440\) | 4.90434 | − | 5.72298i | 0.233805 | − | 0.272832i | ||||
\(441\) | −14.8207 | + | 22.5416i | −0.705749 | + | 1.07341i | ||||
\(442\) | −10.2057 | + | 9.42363i | −0.485438 | + | 0.448236i | ||||
\(443\) | 8.89410 | − | 13.3110i | 0.422572 | − | 0.632423i | −0.557708 | − | 0.830037i | \(-0.688319\pi\) |
0.980280 | + | 0.197614i | \(0.0633192\pi\) | |||||||
\(444\) | −4.50996 | + | 25.6414i | −0.214033 | + | 1.21689i | ||||
\(445\) | −13.6733 | − | 2.71980i | −0.648179 | − | 0.128931i | ||||
\(446\) | −17.0730 | + | 23.4716i | −0.808430 | + | 1.11141i | ||||
\(447\) | −5.63851 | − | 18.3421i | −0.266692 | − | 0.867549i | ||||
\(448\) | 7.57170 | − | 31.0835i | 0.357729 | − | 1.46856i | ||||
\(449\) | − | 4.68780i | − | 0.221231i | −0.993863 | − | 0.110615i | \(-0.964718\pi\) | ||
0.993863 | − | 0.110615i | \(-0.0352822\pi\) | |||||||
\(450\) | 4.24042 | + | 0.137404i | 0.199895 | + | 0.00647728i | ||||
\(451\) | −0.407714 | + | 2.04971i | −0.0191985 | + | 0.0965173i | ||||
\(452\) | 7.87251 | − | 15.4085i | 0.370292 | − | 0.724755i | ||||
\(453\) | 36.7890 | + | 11.0107i | 1.72850 | + | 0.517328i | ||||
\(454\) | 20.3395 | + | 22.0276i | 0.954580 | + | 1.03381i | ||||
\(455\) | −14.1583 | + | 5.86455i | −0.663751 | + | 0.274935i | ||||
\(456\) | −8.49178 | − | 21.5656i | −0.397664 | − | 1.00990i | ||||
\(457\) | 24.0720 | + | 9.97094i | 1.12604 | + | 0.466421i | 0.866433 | − | 0.499294i | \(-0.166407\pi\) |
0.259607 | + | 0.965714i | \(0.416407\pi\) | |||||||
\(458\) | 22.3968 | − | 8.24853i | 1.04653 | − | 0.385428i | ||||
\(459\) | 6.14712 | − | 11.8154i | 0.286923 | − | 0.551495i | ||||
\(460\) | 0.645316 | + | 0.509884i | 0.0300880 | + | 0.0237735i | ||||
\(461\) | 29.9097 | − | 19.9850i | 1.39303 | − | 0.930795i | 0.393097 | − | 0.919497i | \(-0.371404\pi\) |
0.999936 | − | 0.0112977i | \(-0.00359624\pi\) | |||||||
\(462\) | −1.61907 | − | 26.0522i | −0.0753258 | − | 1.21206i | ||||
\(463\) | 5.45569 | + | 5.45569i | 0.253548 | + | 0.253548i | 0.822423 | − | 0.568876i | \(-0.192622\pi\) |
−0.568876 | + | 0.822423i | \(0.692622\pi\) | |||||||
\(464\) | 29.0443 | − | 13.3118i | 1.34835 | − | 0.617984i | ||||
\(465\) | 10.0719 | + | 5.33554i | 0.467075 | + | 0.247430i | ||||
\(466\) | −17.5977 | + | 10.7705i | −0.815199 | + | 0.498935i | ||||
\(467\) | 29.4196 | − | 19.6575i | 1.36138 | − | 0.909643i | 0.361634 | − | 0.932320i | \(-0.382219\pi\) |
0.999743 | + | 0.0226773i | \(0.00721902\pi\) | |||||||
\(468\) | 10.3087 | − | 20.5522i | 0.476518 | − | 0.950026i | ||||
\(469\) | 2.48690 | − | 0.494676i | 0.114835 | − | 0.0228420i | ||||
\(470\) | −6.42089 | − | 2.96438i | −0.296173 | − | 0.136737i | ||||
\(471\) | −2.19523 | + | 23.1708i | −0.101151 | + | 1.06766i | ||||
\(472\) | −13.4675 | + | 10.5807i | −0.619893 | + | 0.487018i | ||||
\(473\) | 25.9514 | − | 10.7494i | 1.19325 | − | 0.494258i | ||||
\(474\) | 40.1912 | − | 10.6236i | 1.84604 | − | 0.487959i | ||||
\(475\) | 2.62842 | − | 3.93371i | 0.120600 | − | 0.180491i | ||||
\(476\) | 1.63108 | − | 20.4358i | 0.0747606 | − | 0.936674i | ||||
\(477\) | −39.0829 | + | 16.5300i | −1.78948 | + | 0.756856i | ||||
\(478\) | 17.4557 | − | 2.75481i | 0.798405 | − | 0.126002i | ||||
\(479\) | − | 9.63326i | − | 0.440155i | −0.975482 | − | 0.220077i | \(-0.929369\pi\) | ||
0.975482 | − | 0.220077i | \(-0.0706310\pi\) | |||||||
\(480\) | −4.61052 | + | 8.64541i | −0.210440 | + | 0.394607i | ||||
\(481\) | 28.8008i | 1.31320i | ||||||||
\(482\) | 0.766016 | + | 4.85381i | 0.0348911 | + | 0.221085i | ||||
\(483\) | 2.83359 | − | 0.289718i | 0.128933 | − | 0.0131826i | ||||
\(484\) | −5.05831 | − | 5.93581i | −0.229923 | − | 0.269809i | ||||
\(485\) | −3.37009 | + | 5.04370i | −0.153028 | + | 0.229023i | ||||
\(486\) | −2.62642 | + | 21.8884i | −0.119137 | + | 0.992878i | ||||
\(487\) | 33.0636 | − | 13.6954i | 1.49825 | − | 0.620597i | 0.525158 | − | 0.851004i | \(-0.324006\pi\) |
0.973094 | + | 0.230408i | \(0.0740061\pi\) | |||||||
\(488\) | 22.0959 | + | 12.4225i | 1.00023 | + | 0.562340i | ||||
\(489\) | 12.4144 | + | 1.17616i | 0.561401 | + | 0.0531878i | ||||
\(490\) | 5.33059 | − | 11.5461i | 0.240812 | − | 0.521601i | ||||
\(491\) | −11.3877 | + | 2.26515i | −0.513919 | + | 0.102225i | −0.445235 | − | 0.895414i | \(-0.646880\pi\) |
−0.0686837 | + | 0.997638i | \(0.521880\pi\) | |||||||
\(492\) | −0.0604284 | − | 2.71615i | −0.00272432 | − | 0.122454i | ||||
\(493\) | 17.0230 | − | 11.3744i | 0.766676 | − | 0.512277i | ||||
\(494\) | −13.3845 | − | 21.8686i | −0.602197 | − | 0.983917i | ||||
\(495\) | −1.50127 | + | 7.85187i | −0.0674769 | + | 0.352915i | ||||
\(496\) | −21.3294 | + | 15.4247i | −0.957716 | + | 0.692589i | ||||
\(497\) | 21.3591 | + | 21.3591i | 0.958087 | + | 0.958087i | ||||
\(498\) | 0.186423 | + | 2.99972i | 0.00835383 | + | 0.134420i | ||||
\(499\) | 31.1292 | − | 20.7998i | 1.39353 | − | 0.931129i | 0.393603 | − | 0.919281i | \(-0.371229\pi\) |
0.999930 | − | 0.0118479i | \(-0.00377138\pi\) | |||||||
\(500\) | −1.98640 | + | 0.232877i | −0.0888343 | + | 0.0104146i | ||||
\(501\) | 17.2865 | + | 32.0537i | 0.772303 | + | 1.43205i | ||||
\(502\) | −0.915605 | − | 2.48609i | −0.0408654 | − | 0.110960i | ||||
\(503\) | −36.8119 | − | 15.2480i | −1.64136 | − | 0.679875i | −0.644929 | − | 0.764243i | \(-0.723113\pi\) |
−0.996435 | + | 0.0843677i | \(0.973113\pi\) | |||||||
\(504\) | 9.39916 | + | 32.6054i | 0.418672 | + | 1.45236i | ||||
\(505\) | −9.23946 | + | 3.82711i | −0.411151 | + | 0.170304i | ||||
\(506\) | −1.13854 | + | 1.05129i | −0.0506143 | + | 0.0467355i | ||||
\(507\) | 0.836840 | − | 2.79605i | 0.0371654 | − | 0.124177i | ||||
\(508\) | −19.8898 | + | 6.43826i | −0.882467 | + | 0.285652i | ||||
\(509\) | −4.31697 | + | 21.7029i | −0.191346 | + | 0.961962i | 0.759077 | + | 0.651001i | \(0.225651\pi\) |
−0.950423 | + | 0.310961i | \(0.899349\pi\) | |||||||
\(510\) | −2.03827 | + | 5.93848i | −0.0902562 | + | 0.262960i | ||||
\(511\) | 29.9775i | 1.32613i | ||||||||
\(512\) | −13.2088 | − | 18.3720i | −0.583750 | − | 0.811933i | ||||
\(513\) | 19.1757 | + | 15.3826i | 0.846628 | + | 0.679159i | ||||
\(514\) | 23.4314 | + | 17.0437i | 1.03352 | + | 0.751767i | ||||
\(515\) | −10.8333 | − | 2.15488i | −0.477372 | − | 0.0949552i | ||||
\(516\) | −29.9035 | + | 20.9577i | −1.31643 | + | 0.922611i | ||||
\(517\) | 7.40328 | − | 11.0798i | 0.325596 | − | 0.487288i | ||||
\(518\) | −28.8351 | − | 31.2283i | −1.26694 | − | 1.37209i | ||||
\(519\) | 10.9121 | + | 13.1961i | 0.478987 | + | 0.579245i | ||||
\(520\) | −3.36649 | + | 10.3028i | −0.147630 | + | 0.451807i | ||||
\(521\) | 9.57846 | − | 23.1245i | 0.419640 | − | 1.01310i | −0.562812 | − | 0.826585i | \(-0.690281\pi\) |
0.982452 | − | 0.186516i | \(-0.0597195\pi\) | |||||||
\(522\) | −19.7296 | + | 27.5521i | −0.863543 | + | 1.20592i | ||||
\(523\) | 9.35382 | − | 1.86059i | 0.409014 | − | 0.0813580i | 0.0137049 | − | 0.999906i | \(-0.495637\pi\) |
0.395309 | + | 0.918548i | \(0.370637\pi\) | |||||||
\(524\) | −2.97089 | − | 25.3410i | −0.129784 | − | 1.10703i | ||||
\(525\) | −4.37425 | + | 5.37060i | −0.190908 | + | 0.234392i | ||||
\(526\) | −5.75019 | + | 23.8930i | −0.250720 | + | 1.04179i | ||||
\(527\) | −11.9270 | + | 11.9270i | −0.519549 | + | 0.519549i | ||||
\(528\) | −14.7365 | − | 11.1205i | −0.641325 | − | 0.483956i | ||||
\(529\) | 16.1439 | + | 16.1439i | 0.701908 | + | 0.701908i | ||||
\(530\) | 17.0620 | − | 10.4426i | 0.741124 | − | 0.453598i | ||||
\(531\) | 6.82680 | − | 16.8341i | 0.296258 | − | 0.730537i | ||||
\(532\) | 36.4073 | + | 10.3114i | 1.57846 | + | 0.447057i | ||||
\(533\) | −0.586333 | − | 2.94770i | −0.0253969 | − | 0.127679i | ||||
\(534\) | −4.57182 | + | 33.8415i | −0.197842 | + | 1.46446i | ||||
\(535\) | 11.9026 | + | 4.93020i | 0.514593 | + | 0.213151i | ||||
\(536\) | 0.878880 | − | 1.56326i | 0.0379618 | − | 0.0675226i | ||||
\(537\) | −0.386044 | − | 0.466848i | −0.0166590 | − | 0.0201460i | ||||
\(538\) | 0.475683 | − | 11.9386i | 0.0205081 | − | 0.514709i | ||||
\(539\) | 19.9238 | + | 13.3127i | 0.858181 | + | 0.573418i | ||||
\(540\) | −0.308348 | − | 10.3877i | −0.0132692 | − | 0.447017i | ||||
\(541\) | 8.61286 | − | 43.2998i | 0.370296 | − | 1.86160i | −0.123963 | − | 0.992287i | \(-0.539560\pi\) |
0.494259 | − | 0.869315i | \(-0.335440\pi\) | |||||||
\(542\) | −22.2968 | + | 3.51883i | −0.957732 | + | 0.151147i | ||||
\(543\) | −1.64856 | − | 5.36277i | −0.0707465 | − | 0.230138i | ||||
\(544\) | −10.2244 | − | 10.2811i | −0.438369 | − | 0.440800i | ||||
\(545\) | 6.07064 | 0.260038 | ||||||||
\(546\) | 16.4886 | + | 33.7228i | 0.705649 | + | 1.44320i | ||||
\(547\) | 0.367230 | + | 0.0730466i | 0.0157016 | + | 0.00312325i | 0.202935 | − | 0.979192i | \(-0.434952\pi\) |
−0.187233 | + | 0.982315i | \(0.559952\pi\) | |||||||
\(548\) | −24.8726 | − | 1.98521i | −1.06251 | − | 0.0848040i | ||||
\(549\) | −26.8854 | + | 0.199789i | −1.14744 | + | 0.00852680i | ||||
\(550\) | 0.150032 | − | 3.76547i | 0.00639738 | − | 0.160560i | ||||
\(551\) | 14.4611 | + | 34.9122i | 0.616064 | + | 1.48731i | ||||
\(552\) | 1.14851 | − | 1.65512i | 0.0488836 | − | 0.0704466i | ||||
\(553\) | −25.9728 | + | 62.7038i | −1.10447 | + | 2.66644i | ||||
\(554\) | −9.15635 | + | 19.8328i | −0.389016 | + | 0.842615i | ||||
\(555\) | 6.17901 | + | 11.4575i | 0.262284 | + | 0.486344i | ||||
\(556\) | 11.6319 | + | 20.8242i | 0.493300 | + | 0.883142i | ||||
\(557\) | 5.58006 | + | 8.35115i | 0.236435 | + | 0.353849i | 0.930645 | − | 0.365922i | \(-0.119246\pi\) |
−0.694211 | + | 0.719772i | \(0.744246\pi\) | |||||||
\(558\) | 11.5139 | − | 25.4342i | 0.487422 | − | 1.07672i | ||||
\(559\) | −28.5640 | + | 28.5640i | −1.20813 | + | 1.20813i | ||||
\(560\) | −6.66482 | − | 14.5416i | −0.281640 | − | 0.614497i | ||||
\(561\) | −10.4540 | − | 5.53792i | −0.441367 | − | 0.233811i | ||||
\(562\) | −0.0457195 | + | 0.189972i | −0.00192856 | + | 0.00801350i | ||||
\(563\) | 0.159428 | + | 0.238600i | 0.00671907 | + | 0.0100558i | 0.834814 | − | 0.550532i | \(-0.185575\pi\) |
−0.828095 | + | 0.560588i | \(0.810575\pi\) | |||||||
\(564\) | −6.27167 | + | 16.1480i | −0.264085 | + | 0.679954i | ||||
\(565\) | −1.68784 | − | 8.48533i | −0.0710079 | − | 0.356981i | ||||
\(566\) | −5.00791 | − | 13.5977i | −0.210498 | − | 0.571554i | ||||
\(567\) | −25.8253 | − | 25.0688i | −1.08456 | − | 1.05279i | ||||
\(568\) | 21.3010 | − | 1.64086i | 0.893772 | − | 0.0688492i | ||||
\(569\) | 10.0631 | + | 24.2944i | 0.421865 | + | 1.01847i | 0.981797 | + | 0.189934i | \(0.0608273\pi\) |
−0.559932 | + | 0.828539i | \(0.689173\pi\) | |||||||
\(570\) | −10.0164 | − | 5.82823i | −0.419540 | − | 0.244118i | ||||
\(571\) | −25.0098 | − | 16.7110i | −1.04663 | − | 0.699333i | −0.0915823 | − | 0.995798i | \(-0.529192\pi\) |
−0.955044 | + | 0.296464i | \(0.904192\pi\) | |||||||
\(572\) | −18.1866 | − | 9.29190i | −0.760421 | − | 0.388514i | ||||
\(573\) | 25.9551 | − | 2.65376i | 1.08429 | − | 0.110862i | ||||
\(574\) | 3.58696 | + | 2.60911i | 0.149717 | + | 0.108902i | ||||
\(575\) | 0.411222 | 0.0171491 | ||||||||
\(576\) | 21.8366 | + | 9.95813i | 0.909857 | + | 0.414922i | ||||
\(577\) | 10.4729 | 0.435992 | 0.217996 | − | 0.975950i | \(-0.430048\pi\) | ||||
0.217996 | + | 0.975950i | \(0.430048\pi\) | |||||||
\(578\) | 11.9284 | + | 8.67656i | 0.496155 | + | 0.360897i | ||||
\(579\) | −21.5074 | + | 2.19901i | −0.893818 | + | 0.0913879i | ||||
\(580\) | 7.26815 | − | 14.2256i | 0.301794 | − | 0.590687i | ||||
\(581\) | −4.07986 | − | 2.72608i | −0.169261 | − | 0.113097i | ||||
\(582\) | 12.8427 | + | 7.47279i | 0.532349 | + | 0.309757i | ||||
\(583\) | 14.4241 | + | 34.8229i | 0.597386 | + | 1.44222i | ||||
\(584\) | 16.0995 | + | 13.7965i | 0.666200 | + | 0.570904i | ||||
\(585\) | −2.32655 | − | 11.2584i | −0.0961909 | − | 0.465480i | ||||
\(586\) | 3.89879 | + | 10.5862i | 0.161057 | + | 0.437310i | ||||
\(587\) | −6.32636 | − | 31.8048i | −0.261117 | − | 1.31272i | −0.859345 | − | 0.511397i | \(-0.829128\pi\) |
0.598228 | − | 0.801326i | \(-0.295872\pi\) | |||||||
\(588\) | −29.0376 | − | 11.2778i | −1.19749 | − | 0.465089i | ||||
\(589\) | −17.2965 | − | 25.8861i | −0.712691 | − | 1.06662i | ||||
\(590\) | −2.00369 | + | 8.32567i | −0.0824905 | + | 0.342762i | ||||
\(591\) | −0.315946 | − | 0.167371i | −0.0129963 | − | 0.00688470i | ||||
\(592\) | −30.0419 | + | 1.11378i | −1.23472 | + | 0.0457762i | ||||
\(593\) | −2.12596 | + | 2.12596i | −0.0873026 | + | 0.0873026i | −0.749409 | − | 0.662107i | \(-0.769662\pi\) |
0.662107 | + | 0.749409i | \(0.269662\pi\) | |||||||
\(594\) | 19.4241 | + | 2.47728i | 0.796982 | + | 0.101644i | ||||
\(595\) | −5.69482 | − | 8.52290i | −0.233465 | − | 0.349405i | ||||
\(596\) | 19.3445 | − | 10.8053i | 0.792381 | − | 0.442604i | ||||
\(597\) | −5.01181 | − | 9.29321i | −0.205120 | − | 0.380346i | ||||
\(598\) | 0.934138 | − | 2.02336i | 0.0381997 | − | 0.0827412i | ||||
\(599\) | 10.6654 | − | 25.7485i | 0.435775 | − | 1.05205i | −0.541618 | − | 0.840625i | \(-0.682188\pi\) |
0.977393 | − | 0.211430i | \(-0.0678120\pi\) | |||||||
\(600\) | 0.871136 | + | 4.82090i | 0.0355640 | + | 0.196813i | ||||
\(601\) | −6.84468 | − | 16.5245i | −0.279200 | − | 0.674049i | 0.720614 | − | 0.693337i | \(-0.243860\pi\) |
−0.999814 | + | 0.0192877i | \(0.993860\pi\) | |||||||
\(602\) | 2.37350 | − | 59.5696i | 0.0967366 | − | 2.42788i | ||||
\(603\) | 0.0141349 | + | 1.90212i | 0.000575618 | + | 0.0774601i | ||||
\(604\) | −3.52794 | + | 44.2015i | −0.143550 | + | 1.79853i | ||||
\(605\) | −3.82444 | − | 0.760729i | −0.155486 | − | 0.0309280i | ||||
\(606\) | 10.7602 | + | 22.0069i | 0.437104 | + | 0.893970i | ||||
\(607\) | −13.3084 | −0.540170 | −0.270085 | − | 0.962837i | \(-0.587052\pi\) | ||||
−0.270085 | + | 0.962837i | \(0.587052\pi\) | |||||||
\(608\) | 22.2935 | − | 14.8070i | 0.904120 | − | 0.600503i | ||||
\(609\) | −16.2567 | − | 52.8830i | −0.658754 | − | 2.14293i | ||||
\(610\) | 12.5193 | − | 1.97576i | 0.506892 | − | 0.0799964i | ||||
\(611\) | −3.73861 | + | 18.7953i | −0.151248 | + | 0.760375i | ||||
\(612\) | 14.8279 | + | 4.08085i | 0.599383 | + | 0.164958i | ||||
\(613\) | −37.8947 | − | 25.3204i | −1.53055 | − | 1.02268i | −0.982505 | − | 0.186235i | \(-0.940372\pi\) |
−0.548047 | − | 0.836448i | \(-0.684628\pi\) | |||||||
\(614\) | −0.750191 | + | 18.8281i | −0.0302752 | + | 0.759842i | ||||
\(615\) | −0.865663 | − | 1.04686i | −0.0349069 | − | 0.0422134i | ||||
\(616\) | 29.0225 | − | 8.13321i | 1.16935 | − | 0.327696i | ||||
\(617\) | −27.4418 | − | 11.3668i | −1.10476 | − | 0.457608i | −0.245632 | − | 0.969363i | \(-0.578996\pi\) |
−0.859132 | + | 0.511755i | \(0.828996\pi\) | |||||||
\(618\) | −3.62222 | + | 26.8124i | −0.145707 | + | 1.07855i | ||||
\(619\) | 2.62525 | + | 13.1980i | 0.105518 | + | 0.530474i | 0.996999 | + | 0.0774158i | \(0.0246669\pi\) |
−0.891481 | + | 0.453058i | \(0.850333\pi\) | |||||||
\(620\) | −3.58648 | + | 12.6631i | −0.144036 | + | 0.508560i | ||||
\(621\) | −0.185725 | + | 2.12869i | −0.00745288 | + | 0.0854212i | ||||
\(622\) | 8.00229 | − | 4.89772i | 0.320862 | − | 0.196381i | ||||
\(623\) | −39.4224 | − | 39.4224i | −1.57943 | − | 1.57943i | ||||
\(624\) | 25.6994 | + | 6.66494i | 1.02880 | + | 0.266811i | ||||
\(625\) | −0.707107 | + | 0.707107i | −0.0282843 | + | 0.0282843i | ||||
\(626\) | −1.92086 | + | 7.98150i | −0.0767730 | + | 0.319005i | ||||
\(627\) | 13.7896 | − | 16.9305i | 0.550702 | − | 0.676139i | ||||
\(628\) | −26.6924 | + | 3.12931i | −1.06514 | + | 0.124873i | ||||
\(629\) | −18.8940 | + | 3.75825i | −0.753353 | + | 0.149851i | ||||
\(630\) | 13.7945 | + | 9.87805i | 0.549586 | + | 0.393551i | ||||
\(631\) | −5.79808 | + | 13.9978i | −0.230818 | + | 0.557243i | −0.996274 | − | 0.0862446i | \(-0.972513\pi\) |
0.765456 | + | 0.643488i | \(0.222513\pi\) | |||||||
\(632\) | 21.7218 | + | 42.8069i | 0.864046 | + | 1.70277i | ||||
\(633\) | 22.5196 | + | 27.2332i | 0.895073 | + | 1.08242i | ||||
\(634\) | 12.5036 | + | 13.5414i | 0.496583 | + | 0.537797i | ||||
\(635\) | −5.80734 | + | 8.69129i | −0.230457 | + | 0.344903i | ||||
\(636\) | −28.1221 | − | 40.1260i | −1.11511 | − | 1.59110i | ||||
\(637\) | −33.7979 | − | 6.72283i | −1.33912 | − | 0.266368i | ||||
\(638\) | 24.3418 | + | 17.7059i | 0.963700 | + | 0.700984i | ||||
\(639\) | −18.7471 | + | 12.7289i | −0.741624 | + | 0.503549i | ||||
\(640\) | −10.8770 | − | 3.11314i | −0.429950 | − | 0.123058i | ||||
\(641\) | 22.1086i | 0.873236i | 0.899647 | + | 0.436618i | \(0.143824\pi\) | ||||
−0.899647 | + | 0.436618i | \(0.856176\pi\) | |||||||
\(642\) | 10.2448 | − | 29.8481i | 0.404330 | − | 1.17801i | ||||
\(643\) | 8.26126 | − | 41.5321i | 0.325792 | − | 1.63787i | −0.376814 | − | 0.926289i | \(-0.622980\pi\) |
0.702606 | − | 0.711579i | \(-0.252020\pi\) | |||||||
\(644\) | 1.01290 | + | 3.12915i | 0.0399137 | + | 0.123306i | ||||
\(645\) | −5.23511 | + | 17.4915i | −0.206132 | + | 0.688729i | ||||
\(646\) | 12.5998 | − | 11.6342i | 0.495732 | − | 0.457742i | ||||
\(647\) | 22.5213 | − | 9.32864i | 0.885405 | − | 0.366747i | 0.106814 | − | 0.994279i | \(-0.465935\pi\) |
0.778591 | + | 0.627532i | \(0.215935\pi\) | |||||||
\(648\) | −25.3488 | + | 2.33210i | −0.995795 | + | 0.0916137i | ||||
\(649\) | −14.9071 | − | 6.17474i | −0.585156 | − | 0.242380i | ||||
\(650\) | 1.87294 | + | 5.08549i | 0.0734628 | + | 0.199469i | ||||
\(651\) | 21.6358 | + | 40.1186i | 0.847976 | + | 1.57237i | ||||
\(652\) | 1.67662 | + | 14.3012i | 0.0656614 | + | 0.560079i | ||||
\(653\) | −6.88068 | + | 4.59752i | −0.269262 | + | 0.179915i | −0.682870 | − | 0.730540i | \(-0.739268\pi\) |
0.413608 | + | 0.910455i | \(0.364268\pi\) | |||||||
\(654\) | −0.922345 | − | 14.8413i | −0.0360666 | − | 0.580342i | ||||
\(655\) | −9.02077 | − | 9.02077i | −0.352471 | − | 0.352471i | ||||
\(656\) | 3.05205 | − | 0.725595i | 0.119163 | − | 0.0283297i | ||||
\(657\) | −22.0883 | − | 4.22325i | −0.861746 | − | 0.164765i | ||||
\(658\) | −14.7639 | − | 24.1225i | −0.575558 | − | 0.940392i | ||||
\(659\) | −2.96129 | + | 1.97867i | −0.115356 | + | 0.0770782i | −0.611910 | − | 0.790928i | \(-0.709598\pi\) |
0.496554 | + | 0.868006i | \(0.334598\pi\) | |||||||
\(660\) | −9.22851 | + | 0.205314i | −0.359219 | + | 0.00799184i | ||||
\(661\) | −10.9271 | + | 2.17354i | −0.425016 | + | 0.0845409i | −0.402964 | − | 0.915216i | \(-0.632020\pi\) |
−0.0220520 | + | 0.999757i | \(0.507020\pi\) | |||||||
\(662\) | −3.16379 | + | 6.85281i | −0.122964 | + | 0.266342i | ||||
\(663\) | 16.9372 | + | 1.60465i | 0.657786 | + | 0.0623194i | ||||
\(664\) | −3.34172 | + | 0.936478i | −0.129684 | + | 0.0363424i | ||||
\(665\) | 17.4795 | − | 7.24025i | 0.677826 | − | 0.280765i | ||||
\(666\) | 27.0722 | − | 16.8471i | 1.04903 | − | 0.652811i | ||||
\(667\) | −1.82482 | + | 2.73104i | −0.0706575 | + | 0.105746i | ||||
\(668\) | −32.0066 | + | 27.2750i | −1.23837 | + | 1.05530i | ||||
\(669\) | 35.3629 | − | 3.61566i | 1.36721 | − | 0.139789i | ||||
\(670\) | −0.139783 | − | 0.885728i | −0.00540030 | − | 0.0342187i | ||||
\(671\) | 23.8812i | 0.921923i | ||||||||
\(672\) | −34.5384 | + | 18.5034i | −1.33235 | + | 0.713783i | ||||
\(673\) | 34.5110i | 1.33030i | 0.746709 | + | 0.665151i | \(0.231633\pi\) | ||||
−0.746709 | + | 0.665151i | \(0.768367\pi\) | |||||||
\(674\) | 5.55920 | − | 0.877339i | 0.214132 | − | 0.0337938i | ||||
\(675\) | −3.34097 | − | 3.97969i | −0.128594 | − | 0.153178i | ||||
\(676\) | 3.35942 | + | 0.268132i | 0.129208 | + | 0.0103128i | ||||
\(677\) | 5.38227 | − | 8.05514i | 0.206857 | − | 0.309584i | −0.713505 | − | 0.700650i | \(-0.752894\pi\) |
0.920363 | + | 0.391066i | \(0.127894\pi\) | |||||||
\(678\) | −20.4883 | + | 5.41560i | −0.786847 | + | 0.207985i | ||||
\(679\) | −22.4117 | + | 9.28325i | −0.860084 | + | 0.356258i | ||||
\(680\) | −7.19816 | − | 0.864074i | −0.276037 | − | 0.0331357i | ||||
\(681\) | 3.46339 | − | 36.5564i | 0.132718 | − | 1.40084i | ||||
\(682\) | −22.5149 | − | 10.3946i | −0.862141 | − | 0.398031i | ||||
\(683\) | 29.1352 | − | 5.79535i | 1.11483 | − | 0.221753i | 0.396893 | − | 0.917865i | \(-0.370088\pi\) |
0.717933 | + | 0.696112i | \(0.245088\pi\) | |||||||
\(684\) | −12.7268 | + | 25.3733i | −0.486623 | + | 0.970172i | ||||
\(685\) | −10.3733 | + | 6.93122i | −0.396344 | + | 0.264828i | ||||
\(686\) | 9.61113 | − | 5.88240i | 0.366955 | − | 0.224591i | ||||
\(687\) | −25.8309 | − | 13.6837i | −0.985510 | − | 0.522067i | ||||
\(688\) | −30.8996 | − | 28.6904i | −1.17804 | − | 1.09381i | ||||
\(689\) | −38.3287 | − | 38.3287i | −1.46021 | − | 1.46021i | ||||
\(690\) | −0.0624792 | − | 1.00534i | −0.00237854 | − | 0.0382728i | ||||
\(691\) | −9.22698 | + | 6.16527i | −0.351011 | + | 0.234538i | −0.718558 | − | 0.695467i | \(-0.755198\pi\) |
0.367547 | + | 0.930005i | \(0.380198\pi\) | |||||||
\(692\) | −12.2581 | + | 15.5140i | −0.465984 | + | 0.589755i | ||||
\(693\) | −22.4368 | + | 22.7728i | −0.852304 | + | 0.865066i | ||||
\(694\) | −14.1459 | + | 5.20981i | −0.536971 | + | 0.197762i | ||||
\(695\) | 11.0185 | + | 4.56400i | 0.417954 | + | 0.173122i | ||||
\(696\) | −35.8827 | − | 15.6076i | −1.36013 | − | 0.591605i | ||||
\(697\) | 1.85725 | − | 0.769297i | 0.0703483 | − | 0.0291392i | ||||
\(698\) | −1.37944 | − | 1.49393i | −0.0522127 | − | 0.0565461i | ||||
\(699\) | 24.2081 | + | 7.24533i | 0.915634 | + | 0.274044i | ||||
\(700\) | −7.12235 | − | 3.63895i | −0.269200 | − | 0.137539i | ||||
\(701\) | 9.57241 | − | 48.1238i | 0.361545 | − | 1.81761i | −0.188027 | − | 0.982164i | \(-0.560209\pi\) |
0.549572 | − | 0.835446i | \(-0.314791\pi\) | |||||||
\(702\) | −27.1709 | + | 7.39844i | −1.02550 | + | 0.279236i | ||||
\(703\) | − | 35.5568i | − | 1.34105i | ||||||
\(704\) | 8.98903 | − | 19.3297i | 0.338787 | − | 0.728516i | ||||
\(705\) | 2.54510 | + | 8.27922i | 0.0958541 | + | 0.311813i | ||||
\(706\) | 19.3855 | − | 26.6508i | 0.729583 | − | 1.00302i | ||||
\(707\) | −39.2250 | − | 7.80234i | −1.47521 | − | 0.293437i | ||||
\(708\) | 20.6588 | + | 3.63360i | 0.776405 | + | 0.136559i | ||||
\(709\) | −27.7652 | + | 41.5536i | −1.04275 | + | 1.56058i | −0.234162 | + | 0.972198i | \(0.575235\pi\) |
−0.808583 | + | 0.588382i | \(0.799765\pi\) | |||||||
\(710\) | 7.84810 | − | 7.24666i | 0.294534 | − | 0.271962i | ||||
\(711\) | −42.5430 | − | 27.9713i | −1.59549 | − | 1.04900i | ||||
\(712\) | −39.3153 | + | 3.02854i | −1.47340 | + | 0.113499i | ||||
\(713\) | 1.03557 | − | 2.50009i | 0.0387824 | − | 0.0936290i | ||||
\(714\) | −19.9713 | + | 15.2175i | −0.747407 | + | 0.569499i | ||||
\(715\) | −10.0152 | + | 1.99215i | −0.374548 | + | 0.0745022i | ||||
\(716\) | 0.433665 | − | 0.548852i | 0.0162068 | − | 0.0205115i | ||||
\(717\) | −16.7815 | − | 13.6682i | −0.626715 | − | 0.510447i | ||||
\(718\) | 15.3263 | + | 3.68848i | 0.571971 | + | 0.137653i | ||||
\(719\) | −2.67110 | + | 2.67110i | −0.0996151 | + | 0.0996151i | −0.755158 | − | 0.655543i | \(-0.772440\pi\) |
0.655543 | + | 0.755158i | \(0.272440\pi\) | |||||||
\(720\) | 11.6537 | − | 2.86220i | 0.434306 | − | 0.106668i | ||||
\(721\) | −31.2341 | − | 31.2341i | −1.16322 | − | 1.16322i | ||||
\(722\) | 2.49730 | + | 4.08028i | 0.0929398 | + | 0.151852i | ||||
\(723\) | 3.80063 | − | 4.66632i | 0.141347 | − | 0.173542i | ||||
\(724\) | 5.65585 | − | 3.15922i | 0.210198 | − | 0.117411i | ||||
\(725\) | −1.55827 | − | 7.83393i | −0.0578725 | − | 0.290945i | ||||
\(726\) | −1.27874 | + | 9.46548i | −0.0474586 | + | 0.351297i | ||||
\(727\) | 1.02001 | + | 0.422503i | 0.0378301 | + | 0.0156698i | 0.401518 | − | 0.915851i | \(-0.368483\pi\) |
−0.363688 | + | 0.931521i | \(0.618483\pi\) | |||||||
\(728\) | −34.0841 | + | 26.7782i | −1.26324 | + | 0.992465i | ||||
\(729\) | 22.1097 | − | 15.4971i | 0.818879 | − | 0.573967i | ||||
\(730\) | 10.5927 | + | 0.422058i | 0.392055 | + | 0.0156211i | ||||
\(731\) | −22.4660 | − | 15.0113i | −0.830936 | − | 0.555214i | ||||
\(732\) | −6.73242 | − | 30.3067i | −0.248837 | − | 1.12017i | ||||
\(733\) | 0.166341 | − | 0.836254i | 0.00614395 | − | 0.0308877i | −0.977592 | − | 0.210510i | \(-0.932488\pi\) |
0.983736 | + | 0.179622i | \(0.0574875\pi\) | |||||||
\(734\) | 4.83817 | + | 30.6567i | 0.178580 | + | 1.13156i | ||||
\(735\) | −14.8878 | + | 4.57665i | −0.549145 | + | 0.168812i | ||||
\(736\) | 2.14668 | + | 0.896148i | 0.0791277 | + | 0.0330324i | ||||
\(737\) | 1.68957 | 0.0622361 | ||||||||
\(738\) | −2.42781 | + | 2.27541i | −0.0893687 | + | 0.0837588i | ||||
\(739\) | −15.6953 | − | 3.12198i | −0.577360 | − | 0.114844i | −0.102232 | − | 0.994761i | \(-0.532598\pi\) |
−0.475128 | + | 0.879917i | \(0.657598\pi\) | |||||||
\(740\) | −11.4407 | + | 9.74939i | −0.420568 | + | 0.358395i | ||||
\(741\) | −9.00375 | + | 30.0833i | −0.330761 | + | 1.10514i | ||||
\(742\) | 79.9336 | + | 3.18488i | 2.93445 | + | 0.116921i | ||||
\(743\) | 6.50126 | + | 15.6954i | 0.238508 | + | 0.575809i | 0.997129 | − | 0.0757229i | \(-0.0241265\pi\) |
−0.758621 | + | 0.651532i | \(0.774126\pi\) | |||||||
\(744\) | 31.5032 | + | 6.84416i | 1.15496 | + | 0.250919i | ||||
\(745\) | 4.23970 | − | 10.2355i | 0.155330 | − | 0.375001i | ||||
\(746\) | 7.90095 | + | 3.64769i | 0.289275 | + | 0.133551i | ||||
\(747\) | 2.58343 | − | 2.62211i | 0.0945227 | − | 0.0959381i | ||||
\(748\) | 3.72251 | − | 13.1434i | 0.136109 | − | 0.480569i | ||||
\(749\) | 28.6234 | + | 42.8380i | 1.04588 | + | 1.56527i | ||||
\(750\) | 1.83615 | + | 1.62128i | 0.0670467 | + | 0.0592008i | ||||
\(751\) | −3.34000 | + | 3.34000i | −0.121878 | + | 0.121878i | −0.765415 | − | 0.643537i | \(-0.777466\pi\) |
0.643537 | + | 0.765415i | \(0.277466\pi\) | |||||||
\(752\) | −19.7498 | − | 3.17288i | −0.720202 | − | 0.115703i | ||||
\(753\) | −1.51893 | + | 2.86729i | −0.0553527 | + | 0.104490i | ||||
\(754\) | −42.0855 | − | 10.1285i | −1.53266 | − | 0.368856i | ||||
\(755\) | 12.3176 | + | 18.4345i | 0.448282 | + | 0.670901i | ||||
\(756\) | 22.0537 | − | 35.2253i | 0.802086 | − | 1.28113i | ||||
\(757\) | −5.01258 | − | 25.1999i | −0.182185 | − | 0.915907i | −0.958398 | − | 0.285436i | \(-0.907862\pi\) |
0.776212 | − | 0.630471i | \(-0.217138\pi\) | |||||||
\(758\) | 10.1992 | − | 3.75627i | 0.370452 | − | 0.136434i | ||||
\(759\) | 1.88949 | + | 0.179013i | 0.0685842 | + | 0.00649775i | ||||
\(760\) | 4.15619 | − | 12.7196i | 0.150761 | − | 0.461388i | ||||
\(761\) | 11.2443 | + | 27.1462i | 0.407606 | + | 0.984049i | 0.985766 | + | 0.168125i | \(0.0537712\pi\) |
−0.578159 | + | 0.815924i | \(0.696229\pi\) | |||||||
\(762\) | 22.1306 | + | 12.8771i | 0.801706 | + | 0.466488i | ||||
\(763\) | 20.1855 | + | 13.4875i | 0.730763 | + | 0.488280i | ||||
\(764\) | 9.27792 | + | 28.6624i | 0.335663 | + | 1.03697i | ||||
\(765\) | 7.08221 | − | 2.99540i | 0.256058 | − | 0.108299i | ||||
\(766\) | −12.5143 | + | 17.2045i | −0.452162 | + | 0.621624i | ||||
\(767\) | 23.2043 | 0.837858 | ||||||||
\(768\) | −5.95832 | + | 27.0647i | −0.215002 | + | 0.976614i | ||||
\(769\) | −5.26826 | −0.189978 | −0.0949892 | − | 0.995478i | \(-0.530282\pi\) | ||||
−0.0949892 | + | 0.995478i | \(0.530282\pi\) | |||||||
\(770\) | 8.86483 | − | 12.1872i | 0.319466 | − | 0.439196i | ||||
\(771\) | −3.60946 | − | 35.3023i | −0.129992 | − | 1.27138i | ||||
\(772\) | −7.68806 | − | 23.7508i | −0.276699 | − | 0.854810i | ||||
\(773\) | 11.2106 | + | 7.49066i | 0.403216 | + | 0.269420i | 0.740599 | − | 0.671947i | \(-0.234542\pi\) |
−0.337383 | + | 0.941367i | \(0.609542\pi\) | |||||||
\(774\) | 43.5583 | + | 10.1411i | 1.56567 | + | 0.364514i | ||||
\(775\) | 2.51828 | + | 6.07966i | 0.0904591 | + | 0.218388i | ||||
\(776\) | −5.32895 | + | 16.3087i | −0.191298 | + | 0.585448i | ||||
\(777\) | −4.91002 | + | 51.8256i | −0.176146 | + | 1.85923i | ||||
\(778\) | −17.1778 | + | 6.32642i | −0.615853 | + | 0.226813i | ||||
\(779\) | 0.723874 | + | 3.63916i | 0.0259355 | + | 0.130386i | ||||
\(780\) | 12.1483 | − | 5.35158i | 0.434979 | − | 0.191617i | ||||
\(781\) | 11.1822 | + | 16.7354i | 0.400131 | + | 0.598839i | ||||
\(782\) | 1.44927 | + | 0.348786i | 0.0518257 | + | 0.0124726i | ||||
\(783\) | 41.2560 | − | 4.52821i | 1.47437 | − | 0.161825i | ||||
\(784\) | 5.70552 | − | 35.5144i | 0.203768 | − | 1.26837i | ||||
\(785\) | −9.50181 | + | 9.50181i | −0.339134 | + | 0.339134i | ||||
\(786\) | −20.6832 | + | 23.4243i | −0.737744 | + | 0.835518i | ||||
\(787\) | 15.5638 | + | 23.2928i | 0.554788 | + | 0.830299i | 0.997805 | − | 0.0662141i | \(-0.0210920\pi\) |
−0.443017 | + | 0.896513i | \(0.646092\pi\) | |||||||
\(788\) | 0.112504 | − | 0.397227i | 0.00400780 | − | 0.0141506i | ||||
\(789\) | 26.4915 | − | 14.2868i | 0.943122 | − | 0.508623i | ||||
\(790\) | 21.7911 | + | 10.0605i | 0.775293 | + | 0.357935i | ||||
\(791\) | 13.2401 | − | 31.9645i | 0.470765 | − | 1.13653i | ||||
\(792\) | 1.90408 | + | 22.5304i | 0.0676587 | + | 0.800584i | ||||
\(793\) | −13.1427 | − | 31.7293i | −0.466711 | − | 1.12674i | ||||
\(794\) | −43.7659 | − | 1.74381i | −1.55319 | − | 0.0618856i | ||||
\(795\) | −23.4711 | − | 7.02474i | −0.832433 | − | 0.249142i | ||||
\(796\) | 9.27956 | − | 7.90775i | 0.328905 | − | 0.280283i | ||||
\(797\) | −10.3378 | − | 2.05631i | −0.366182 | − | 0.0728382i | 0.00856967 | − | 0.999963i | \(-0.497272\pi\) |
−0.374752 | + | 0.927125i | \(0.622272\pi\) | |||||||
\(798\) | −20.3565 | − | 41.6334i | −0.720613 | − | 1.47381i | ||||
\(799\) | −12.8180 | −0.453468 | ||||||||
\(800\) | −5.23222 | + | 2.15032i | −0.184987 | + | 0.0760253i | ||||
\(801\) | 34.6015 | − | 23.4938i | 1.22258 | − | 0.830111i | ||||
\(802\) | −6.40835 | − | 40.6061i | −0.226287 | − | 1.43385i | ||||
\(803\) | −3.89692 | + | 19.5911i | −0.137519 | + | 0.691356i | ||||
\(804\) | −2.14417 | + | 0.476312i | −0.0756189 | + | 0.0167982i | ||||
\(805\) | 1.36735 | + | 0.913635i | 0.0481928 | + | 0.0322014i | ||||
\(806\) | 35.6346 | + | 1.41983i | 1.25518 | + | 0.0500114i | ||||
\(807\) | −11.2771 | + | 9.32525i | −0.396974 | + | 0.328264i | ||||
\(808\) | −22.2427 | + | 17.4750i | −0.782497 | + | 0.614768i | ||||
\(809\) | −4.71003 | − | 1.95096i | −0.165596 | − | 0.0685921i | 0.298346 | − | 0.954458i | \(-0.403565\pi\) |
−0.463941 | + | 0.885866i | \(0.653565\pi\) | |||||||
\(810\) | −9.22182 | + | 8.77257i | −0.324022 | + | 0.308237i | ||||
\(811\) | 9.35547 | + | 47.0331i | 0.328515 | + | 1.65156i | 0.693436 | + | 0.720518i | \(0.256096\pi\) |
−0.364921 | + | 0.931038i | \(0.618904\pi\) | |||||||
\(812\) | 55.7732 | − | 31.1535i | 1.95725 | − | 1.09327i | ||||
\(813\) | 21.4356 | + | 17.4589i | 0.751780 | + | 0.612309i | ||||
\(814\) | −14.7850 | − | 24.1570i | −0.518215 | − | 0.846702i | ||||
\(815\) | 5.09087 | + | 5.09087i | 0.178325 | + | 0.178325i | ||||
\(816\) | −1.01881 | + | 17.7292i | −0.0356654 | + | 0.620645i | ||||
\(817\) | 35.2645 | − | 35.2645i | 1.23375 | − | 1.23375i | ||||
\(818\) | 6.22057 | + | 1.49707i | 0.217497 | + | 0.0523437i | ||||
\(819\) | 17.2775 | − | 42.6044i | 0.603726 | − | 1.48872i | ||||
\(820\) | 0.972448 | − | 1.23074i | 0.0339594 | − | 0.0429794i | ||||
\(821\) | 35.4018 | − | 7.04186i | 1.23553 | − | 0.245763i | 0.466239 | − | 0.884659i | \(-0.345609\pi\) |
0.769293 | + | 0.638896i | \(0.220609\pi\) | |||||||
\(822\) | 18.5213 | + | 24.3073i | 0.646006 | + | 0.847814i | ||||
\(823\) | −17.2339 | + | 41.6064i | −0.600737 | + | 1.45031i | 0.272088 | + | 0.962272i | \(0.412286\pi\) |
−0.872824 | + | 0.488034i | \(0.837714\pi\) | |||||||
\(824\) | −31.1492 | + | 2.39949i | −1.08513 | + | 0.0835902i | ||||
\(825\) | −3.55685 | + | 2.94121i | −0.123834 | + | 0.102400i | ||||
\(826\) | −25.1601 | + | 23.2319i | −0.875431 | + | 0.808342i | ||||
\(827\) | 10.3405 | − | 15.4756i | 0.359573 | − | 0.538140i | −0.606943 | − | 0.794746i | \(-0.707604\pi\) |
0.966516 | + | 0.256606i | \(0.0826042\pi\) | |||||||
\(828\) | −2.44835 | + | 0.305495i | −0.0850859 | + | 0.0106167i | ||||
\(829\) | 31.7381 | + | 6.31311i | 1.10231 | + | 0.219263i | 0.712528 | − | 0.701644i | \(-0.247550\pi\) |
0.389783 | + | 0.920907i | \(0.372550\pi\) | |||||||
\(830\) | −1.02072 | + | 1.40326i | −0.0354296 | + | 0.0487080i | ||||
\(831\) | 25.5728 | − | 7.86130i | 0.887111 | − | 0.272706i | ||||
\(832\) | −1.30525 | + | 30.6291i | −0.0452513 | + | 1.06187i | ||||
\(833\) | − | 23.0495i | − | 0.798618i | ||||||
\(834\) | 9.48384 | − | 27.6311i | 0.328399 | − | 0.956786i | ||||
\(835\) | −4.10194 | + | 20.6219i | −0.141954 | + | 0.713649i | ||||
\(836\) | 22.4528 | + | 11.4716i | 0.776546 | + | 0.396753i | ||||
\(837\) | −32.6086 | + | 10.2900i | −1.12712 | + | 0.355674i | ||||
\(838\) | 10.7278 | + | 11.6182i | 0.370587 | + | 0.401344i | ||||
\(839\) | −0.394324 | + | 0.163335i | −0.0136136 | + | 0.00563893i | −0.389480 | − | 0.921035i | \(-0.627345\pi\) |
0.375866 | + | 0.926674i | \(0.377345\pi\) | |||||||
\(840\) | −7.81427 | + | 17.9654i | −0.269618 | + | 0.619866i | ||||
\(841\) | 32.1497 | + | 13.3169i | 1.10861 | + | 0.459202i | ||||
\(842\) | −50.1017 | + | 18.4520i | −1.72662 | + | 0.635898i | ||||
\(843\) | 0.210633 | − | 0.113594i | 0.00725458 | − | 0.00391238i | ||||
\(844\) | −25.2975 | + | 32.0168i | −0.870776 | + | 1.10206i | ||||
\(845\) | 1.40107 | − | 0.936164i | 0.0481982 | − | 0.0322050i | ||||
\(846\) | 19.8541 | − | 7.48011i | 0.682599 | − | 0.257171i | ||||
\(847\) | −11.0265 | − | 11.0265i | −0.378874 | − | 0.378874i | ||||
\(848\) | 38.4982 | − | 41.4627i | 1.32203 | − | 1.42383i | ||||
\(849\) | −8.30778 | + | 15.6827i | −0.285122 | + | 0.538227i | ||||
\(850\) | −3.09180 | + | 1.89231i | −0.106048 | + | 0.0649055i | ||||
\(851\) | 2.56974 | − | 1.71705i | 0.0880895 | − | 0.0588595i | ||||
\(852\) | −18.9088 | − | 18.0858i | −0.647806 | − | 0.619609i | ||||
\(853\) | 45.9820 | − | 9.14639i | 1.57439 | − | 0.313166i | 0.670827 | − | 0.741614i | \(-0.265939\pi\) |
0.903567 | + | 0.428447i | \(0.140939\pi\) | |||||||
\(854\) | 46.0175 | + | 21.2452i | 1.57469 | + | 0.726997i | ||||
\(855\) | 2.87230 | + | 13.8994i | 0.0982307 | + | 0.475350i | ||||
\(856\) | 36.1796 | + | 4.34303i | 1.23659 | + | 0.148442i | ||||
\(857\) | 20.3192 | − | 8.41650i | 0.694091 | − | 0.287502i | −0.00761221 | − | 0.999971i | \(-0.502423\pi\) |
0.701704 | + | 0.712469i | \(0.252423\pi\) | |||||||
\(858\) | 6.39202 | + | 24.1822i | 0.218220 | + | 0.825568i | ||||
\(859\) | 11.7926 | − | 17.6489i | 0.402358 | − | 0.602171i | −0.573862 | − | 0.818952i | \(-0.694556\pi\) |
0.976220 | + | 0.216780i | \(0.0695556\pi\) | |||||||
\(860\) | −21.0159 | − | 1.67738i | −0.716636 | − | 0.0571983i | ||||
\(861\) | −0.552548 | − | 5.40419i | −0.0188308 | − | 0.184174i | ||||
\(862\) | 14.3432 | − | 2.26360i | 0.488531 | − | 0.0770987i | ||||
\(863\) | − | 28.8732i | − | 0.982855i | −0.870918 | − | 0.491428i | \(-0.836475\pi\) | ||
0.870918 | − | 0.491428i | \(-0.163525\pi\) | |||||||
\(864\) | −8.76802 | − | 28.0557i | −0.298294 | − | 0.954474i | ||||
\(865\) | 9.88619i | 0.336141i | ||||||||
\(866\) | 2.64416 | + | 16.7545i | 0.0898521 | + | 0.569342i | ||||
\(867\) | −1.83749 | − | 17.9716i | −0.0624045 | − | 0.610346i | ||||
\(868\) | −40.0596 | + | 34.1376i | −1.35971 | + | 1.15870i | ||||
\(869\) | −25.1251 | + | 37.6024i | −0.852312 | + | 1.27557i | ||||
\(870\) | −18.9154 | + | 4.99986i | −0.641293 | + | 0.169511i | ||||
\(871\) | −2.24482 | + | 0.929833i | −0.0760627 | + | 0.0315062i | ||||
\(872\) | 16.5334 | − | 4.63330i | 0.559892 | − | 0.156903i | ||||
\(873\) | −3.68279 | − | 17.8215i | −0.124644 | − | 0.603165i | ||||
\(874\) | −1.15327 | + | 2.49799i | −0.0390098 | + | 0.0844958i | ||||
\(875\) | −3.92222 | + | 0.780177i | −0.132595 | + | 0.0263748i | ||||
\(876\) | −0.577574 | − | 25.9610i | −0.0195144 | − | 0.877139i | ||||
\(877\) | 26.8580 | − | 17.9459i | 0.906929 | − | 0.605991i | −0.0122094 | − | 0.999925i | \(-0.503886\pi\) |
0.919138 | + | 0.393935i | \(0.128886\pi\) | |||||||
\(878\) | −19.7809 | − | 32.3197i | −0.667574 | − | 1.09074i | ||||
\(879\) | 6.46782 | − | 12.2093i | 0.218154 | − | 0.411811i | ||||
\(880\) | −2.46531 | − | 10.3698i | −0.0831056 | − | 0.349565i | ||||
\(881\) | −15.2532 | − | 15.2532i | −0.513892 | − | 0.513892i | 0.401825 | − | 0.915717i | \(-0.368376\pi\) |
−0.915717 | + | 0.401825i | \(0.868376\pi\) | |||||||
\(882\) | 13.4508 | + | 35.7020i | 0.452914 | + | 1.20215i | ||||
\(883\) | −24.1335 | + | 16.1255i | −0.812156 | + | 0.542665i | −0.890884 | − | 0.454231i | \(-0.849914\pi\) |
0.0787280 | + | 0.996896i | \(0.474914\pi\) | |||||||
\(884\) | 2.28743 | + | 19.5113i | 0.0769347 | + | 0.656237i | ||||
\(885\) | 9.23112 | − | 4.97832i | 0.310301 | − | 0.167344i | ||||
\(886\) | −7.82437 | − | 21.2451i | −0.262865 | − | 0.713742i | ||||
\(887\) | 31.5782 | + | 13.0801i | 1.06029 | + | 0.439188i | 0.843555 | − | 0.537042i | \(-0.180458\pi\) |
0.216738 | + | 0.976230i | \(0.430458\pi\) | |||||||
\(888\) | 25.5733 | + | 26.4886i | 0.858184 | + | 0.888899i | ||||
\(889\) | −38.6199 | + | 15.9969i | −1.29527 | + | 0.536518i | ||||
\(890\) | −14.4852 | + | 13.3751i | −0.485545 | + | 0.448336i | ||||
\(891\) | −13.6187 | − | 19.7403i | −0.456245 | − | 0.661326i | ||||
\(892\) | 12.6409 | + | 39.0515i | 0.423247 | + | 1.30754i | ||||
\(893\) | 4.61560 | − | 23.2042i | 0.154455 | − | 0.776499i | ||||
\(894\) | −25.6677 | − | 8.80996i | −0.858457 | − | 0.294649i | ||||
\(895\) | − | 0.349751i | − | 0.0116909i | ||||||
\(896\) | −29.2503 | − | 34.5175i | −0.977184 | − | 1.15315i | ||||
\(897\) | −2.60896 | + | 0.802016i | −0.0871105 | + | 0.0267785i | ||||
\(898\) | −5.36126 | − | 3.89972i | −0.178908 | − | 0.130135i | ||||
\(899\) | −51.5517 | − | 10.2543i | −1.71935 | − | 0.341999i | ||||
\(900\) | 3.68469 | − | 4.73530i | 0.122823 | − | 0.157843i | ||||
\(901\) | 20.1430 | − | 30.1461i | 0.671059 | − | 1.00431i | ||||
\(902\) | 2.00501 | + | 2.17142i | 0.0667596 | + | 0.0723003i | ||||
\(903\) | −56.2692 | + | 46.5299i | −1.87252 | + | 1.54842i | ||||
\(904\) | −11.0731 | − | 21.8216i | −0.368286 | − | 0.725777i | ||||
\(905\) | 1.23958 | − | 2.99262i | 0.0412051 | − | 0.0994780i | ||||
\(906\) | 43.1968 | − | 32.9145i | 1.43512 | − | 1.09351i | ||||
\(907\) | 28.3828 | − | 5.64568i | 0.942434 | − | 0.187462i | 0.300118 | − | 0.953902i | \(-0.402974\pi\) |
0.642316 | + | 0.766440i | \(0.277974\pi\) | |||||||
\(908\) | 42.1123 | − | 4.93708i | 1.39754 | − | 0.163843i | ||||
\(909\) | 11.2750 | − | 27.8029i | 0.373969 | − | 0.922165i | ||||
\(910\) | −5.07102 | + | 21.0709i | −0.168103 | + | 0.698495i | ||||
\(911\) | 0.570164 | − | 0.570164i | 0.0188904 | − | 0.0188904i | −0.697599 | − | 0.716489i | \(-0.745748\pi\) |
0.716489 | + | 0.697599i | \(0.245748\pi\) | |||||||
\(912\) | −31.7280 | − | 8.22839i | −1.05062 | − | 0.272469i | ||||
\(913\) | −2.31193 | − | 2.31193i | −0.0765138 | − | 0.0765138i | ||||
\(914\) | 31.4285 | − | 19.2355i | 1.03956 | − | 0.636255i | ||||
\(915\) | −12.0357 | − | 9.80286i | −0.397889 | − | 0.324073i | ||||
\(916\) | 9.19803 | − | 32.4762i | 0.303911 | − | 1.07304i | ||||
\(917\) | −9.95295 | − | 50.0369i | −0.328675 | − | 1.65236i | ||||
\(918\) | −8.39911 | − | 16.8593i | −0.277212 | − | 0.556440i | ||||
\(919\) | 8.39365 | + | 3.47676i | 0.276881 | + | 0.114688i | 0.516803 | − | 0.856104i | \(-0.327122\pi\) |
−0.239922 | + | 0.970792i | \(0.577122\pi\) | |||||||
\(920\) | 1.11997 | − | 0.313857i | 0.0369242 | − | 0.0103476i | ||||
\(921\) | 17.7850 | − | 14.7067i | 0.586035 | − | 0.484602i | ||||
\(922\) | 2.02535 | − | 50.8319i | 0.0667014 | − | 1.67406i | ||||
\(923\) | −24.0671 | − | 16.0812i | −0.792180 | − | 0.529318i | ||||
\(924\) | −31.1418 | − | 19.8208i | −1.02449 | − | 0.652057i | ||||
\(925\) | −1.46623 | + | 7.37123i | −0.0482093 | + | 0.242365i | ||||
\(926\) | 10.7780 | − | 1.70096i | 0.354187 | − | 0.0558969i | ||||
\(927\) | 27.4145 | − | 18.6139i | 0.900411 | − | 0.611362i | ||||
\(928\) | 8.93741 | − | 44.2908i | 0.293385 | − | 1.45392i | ||||
\(929\) | 40.2052 | 1.31909 | 0.659546 | − | 0.751665i | \(-0.270749\pi\) | ||||
0.659546 | + | 0.751665i | \(0.270749\pi\) | |||||||
\(930\) | 14.4808 | − | 7.08033i | 0.474843 | − | 0.232173i | ||||
\(931\) | 41.7262 | + | 8.29985i | 1.36752 | + | 0.272017i | ||||
\(932\) | −2.32148 | + | 29.0857i | −0.0760425 | + | 0.952734i | ||||
\(933\) | −11.0082 | − | 3.29470i | −0.360394 | − | 0.107864i | ||||
\(934\) | 1.99217 | − | 49.9990i | 0.0651856 | − | 1.63602i | ||||
\(935\) | −2.61379 | − | 6.31026i | −0.0854802 | − | 0.206367i | ||||
\(936\) | −14.9292 | − | 28.8867i | −0.487975 | − | 0.944193i | ||||
\(937\) | 9.97041 | − | 24.0707i | 0.325719 | − | 0.786355i | −0.673182 | − | 0.739477i | \(-0.735073\pi\) |
0.998901 | − | 0.0468780i | \(-0.0149272\pi\) | |||||||
\(938\) | 1.50308 | − | 3.25569i | 0.0490773 | − | 0.106302i | ||||
\(939\) | 8.84953 | − | 4.77253i | 0.288793 | − | 0.155746i | ||||
\(940\) | −8.73170 | + | 4.87730i | −0.284797 | + | 0.159080i | ||||
\(941\) | −25.4390 | − | 38.0722i | −0.829288 | − | 1.24112i | −0.968042 | − | 0.250790i | \(-0.919310\pi\) |
0.138754 | − | 0.990327i | \(-0.455690\pi\) | |||||||
\(942\) | 24.6734 | + | 21.7861i | 0.803904 | + | 0.709830i | ||||
\(943\) | −0.228051 | + | 0.228051i | −0.00742637 | + | 0.00742637i | ||||
\(944\) | 0.897355 | + | 24.2043i | 0.0292064 | + | 0.787782i | ||||
\(945\) | −2.26714 | − | 20.6557i | −0.0737501 | − | 0.671929i | ||||
\(946\) | 9.29490 | − | 38.6219i | 0.302203 | − | 1.25571i | ||||
\(947\) | 10.5015 | + | 15.7166i | 0.341253 | + | 0.510722i | 0.961912 | − | 0.273359i | \(-0.0881347\pi\) |
−0.620659 | + | 0.784081i | \(0.713135\pi\) | |||||||
\(948\) | 21.2847 | − | 54.8029i | 0.691295 | − | 1.77991i | ||||
\(949\) | −5.60416 | − | 28.1740i | −0.181919 | − | 0.914568i | ||||
\(950\) | −2.31229 | − | 6.27843i | −0.0750206 | − | 0.203699i | ||||
\(951\) | 2.12911 | − | 22.4729i | 0.0690412 | − | 0.728735i | ||||
\(952\) | −22.0148 | − | 18.8657i | −0.713504 | − | 0.611441i | ||||
\(953\) | −9.57772 | − | 23.1227i | −0.310253 | − | 0.749016i | −0.999695 | − | 0.0246763i | \(-0.992145\pi\) |
0.689443 | − | 0.724340i | \(-0.257855\pi\) | |||||||
\(954\) | −13.6078 | + | 58.4487i | −0.440569 | + | 1.89235i | ||||
\(955\) | 12.5247 | + | 8.36871i | 0.405289 | + | 0.270805i | ||||
\(956\) | 11.3706 | − | 22.2551i | 0.367751 | − | 0.719782i | ||||
\(957\) | −3.74969 | − | 36.6738i | −0.121210 | − | 1.18550i | ||||
\(958\) | −11.0172 | − | 8.01378i | −0.355950 | − | 0.258914i | ||||
\(959\) | −49.8917 | −1.61109 | ||||||||
\(960\) | 6.05201 | + | 12.4649i | 0.195328 | + | 0.402302i | ||||
\(961\) | 12.3039 | 0.396901 | ||||||||
\(962\) | 32.9384 | + | 23.9590i | 1.06198 | + | 0.772468i | ||||
\(963\) | −35.5968 | + | 15.0555i | −1.14709 | + | 0.485158i | ||||
\(964\) | 6.18836 | + | 3.16175i | 0.199314 | + | 0.101833i | ||||
\(965\) | −10.3785 | − | 6.93466i | −0.334094 | − | 0.223235i | ||||
\(966\) | 2.02588 | − | 3.48168i | 0.0651817 | − | 0.112021i | ||||
\(967\) | −3.50982 | − | 8.47344i | −0.112868 | − | 0.272488i | 0.857344 | − | 0.514743i | \(-0.172113\pi\) |
−0.970212 | + | 0.242256i | \(0.922113\pi\) | |||||||
\(968\) | −10.9965 | + | 0.847085i | −0.353441 | + | 0.0272263i | ||||
\(969\) | −20.9103 | − | 1.98106i | −0.671735 | − | 0.0636410i | ||||
\(970\) | 2.96476 | + | 8.05003i | 0.0951926 | + | 0.258471i | ||||
\(971\) | 0.582473 | + | 2.92829i | 0.0186924 | + | 0.0939732i | 0.989005 | − | 0.147880i | \(-0.0472448\pi\) |
−0.970313 | + | 0.241853i | \(0.922245\pi\) | |||||||
\(972\) | 22.8481 | + | 21.2124i | 0.732852 | + | 0.680388i | ||||
\(973\) | 26.4973 | + | 39.6561i | 0.849466 | + | 1.27132i | ||||
\(974\) | 11.8422 | − | 49.2066i | 0.379450 | − | 1.57668i | ||||
\(975\) | 3.10708 | − | 5.86525i | 0.0995062 | − | 0.187838i | ||||
\(976\) | 32.5884 | − | 14.9361i | 1.04313 | − | 0.478094i | ||||
\(977\) | −30.3707 | + | 30.3707i | −0.971644 | + | 0.971644i | −0.999609 | − | 0.0279652i | \(-0.991097\pi\) |
0.0279652 | + | 0.999609i | \(0.491097\pi\) | |||||||
\(978\) | 11.6725 | − | 13.2195i | 0.373247 | − | 0.422713i | ||||
\(979\) | −20.6390 | − | 30.8884i | −0.659625 | − | 0.987198i | ||||
\(980\) | −8.77045 | − | 15.7015i | −0.280162 | − | 0.501565i | ||||
\(981\) | −12.7817 | + | 12.9731i | −0.408089 | + | 0.414200i | ||||
\(982\) | −6.88269 | + | 14.9080i | −0.219636 | + | 0.475734i | ||||
\(983\) | 1.49913 | − | 3.61922i | 0.0478148 | − | 0.115435i | −0.898167 | − | 0.439653i | \(-0.855101\pi\) |
0.945982 | + | 0.324218i | \(0.105101\pi\) | |||||||
\(984\) | −3.15663 | − | 2.19042i | −0.100630 | − | 0.0698281i | ||||
\(985\) | −0.0789958 | − | 0.190713i | −0.00251701 | − | 0.00607661i | ||||
\(986\) | 1.15272 | − | 28.9307i | 0.0367101 | − | 0.921342i | ||||
\(987\) | −9.93170 | + | 33.1838i | −0.316129 | + | 1.05625i | ||||
\(988\) | −36.1447 | − | 2.88489i | −1.14992 | − | 0.0917806i | ||||
\(989\) | 4.25155 | + | 0.845685i | 0.135191 | + | 0.0268912i | ||||
\(990\) | 7.73101 | + | 8.24881i | 0.245708 | + | 0.262164i | ||||
\(991\) | 22.1624 | 0.704013 | 0.352007 | − | 0.935998i | \(-0.385499\pi\) | ||||
0.352007 | + | 0.935998i | \(0.385499\pi\) | |||||||
\(992\) | −0.102958 | + | 37.2252i | −0.00326892 | + | 1.18190i | ||||
\(993\) | 8.83615 | − | 2.71631i | 0.280407 | − | 0.0861994i | ||||
\(994\) | 42.1960 | − | 6.65926i | 1.33838 | − | 0.211219i | ||||
\(995\) | 1.18926 | − | 5.97882i | 0.0377021 | − | 0.189541i | ||||
\(996\) | 3.58575 | + | 2.28222i | 0.113619 | + | 0.0723149i | ||||
\(997\) | −2.43551 | − | 1.62736i | −0.0771335 | − | 0.0515389i | 0.516406 | − | 0.856344i | \(-0.327270\pi\) |
−0.593539 | + | 0.804805i | \(0.702270\pi\) | |||||||
\(998\) | 2.10793 | − | 52.9044i | 0.0667253 | − | 1.67466i | ||||
\(999\) | −37.4949 | − | 10.9191i | −1.18629 | − | 0.345464i |
(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 | 960.2.cn.a.611.90 | yes | 1024 | |
3.2 | odd | 2 | inner | 960.2.cn.a.611.39 | yes | 1024 | |
64.11 | odd | 16 | inner | 960.2.cn.a.11.39 | ✓ | 1024 | |
192.11 | even | 16 | inner | 960.2.cn.a.11.90 | yes | 1024 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
960.2.cn.a.11.39 | ✓ | 1024 | 64.11 | odd | 16 | inner | |
960.2.cn.a.11.90 | yes | 1024 | 192.11 | even | 16 | inner | |
960.2.cn.a.611.39 | yes | 1024 | 3.2 | odd | 2 | inner | |
960.2.cn.a.611.90 | yes | 1024 | 1.1 | even | 1 | trivial |