Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [462,2,Mod(29,462)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(462, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 0, 7]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("462.29");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 462 = 2 \cdot 3 \cdot 7 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 462.w (of order \(10\), 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: | \(3.68908857338\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 281.1 | ||
Character | \(\chi\) | \(=\) | 462.281 |
Dual form | 462.2.w.b.365.1 |
$q$-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 \(\left(\mathbb{Z}/462\mathbb{Z}\right)^\times\).
\(n\) | \(155\) | \(199\) | \(211\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(e\left(\frac{9}{10}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.309017 | − | 0.951057i | −0.218508 | − | 0.672499i | ||||
\(3\) | −1.71791 | − | 0.220849i | −0.991838 | − | 0.127507i | ||||
\(4\) | −0.809017 | + | 0.587785i | −0.404508 | + | 0.293893i | ||||
\(5\) | 0.826066 | + | 0.268405i | 0.369428 | + | 0.120034i | 0.487847 | − | 0.872929i | \(-0.337783\pi\) |
−0.118419 | + | 0.992964i | \(0.537783\pi\) | |||||||
\(6\) | 0.320825 | + | 1.70208i | 0.130976 | + | 0.694871i | ||||
\(7\) | −0.587785 | − | 0.809017i | −0.222162 | − | 0.305780i | ||||
\(8\) | 0.809017 | + | 0.587785i | 0.286031 | + | 0.207813i | ||||
\(9\) | 2.90245 | + | 0.758798i | 0.967484 | + | 0.252933i | ||||
\(10\) | − | 0.868577i | − | 0.274668i | ||||||
\(11\) | 2.10123 | − | 2.56609i | 0.633545 | − | 0.773706i | ||||
\(12\) | 1.51963 | − | 0.831094i | 0.438680 | − | 0.239916i | ||||
\(13\) | −2.27068 | + | 0.737788i | −0.629773 | + | 0.204626i | −0.606475 | − | 0.795103i | \(-0.707417\pi\) |
−0.0232985 | + | 0.999729i | \(0.507417\pi\) | |||||||
\(14\) | −0.587785 | + | 0.809017i | −0.157092 | + | 0.216219i | ||||
\(15\) | −1.35983 | − | 0.643532i | −0.351107 | − | 0.166159i | ||||
\(16\) | 0.309017 | − | 0.951057i | 0.0772542 | − | 0.237764i | ||||
\(17\) | 0.798865 | − | 2.45865i | 0.193753 | − | 0.596311i | −0.806236 | − | 0.591595i | \(-0.798499\pi\) |
0.999989 | − | 0.00471671i | \(-0.00150138\pi\) | |||||||
\(18\) | −0.175247 | − | 2.99488i | −0.0413062 | − | 0.705899i | ||||
\(19\) | −0.826882 | + | 1.13811i | −0.189700 | + | 0.261099i | −0.893264 | − | 0.449532i | \(-0.851591\pi\) |
0.703564 | + | 0.710632i | \(0.251591\pi\) | |||||||
\(20\) | −0.826066 | + | 0.268405i | −0.184714 | + | 0.0600172i | ||||
\(21\) | 0.831094 | + | 1.51963i | 0.181360 | + | 0.331611i | ||||
\(22\) | −3.08982 | − | 1.20542i | −0.658751 | − | 0.256997i | ||||
\(23\) | − | 7.05910i | − | 1.47192i | −0.677023 | − | 0.735962i | \(-0.736730\pi\) | ||
0.677023 | − | 0.735962i | \(-0.263270\pi\) | |||||||
\(24\) | −1.26001 | − | 1.18843i | −0.257198 | − | 0.242588i | ||||
\(25\) | −3.43474 | − | 2.49549i | −0.686948 | − | 0.499097i | ||||
\(26\) | 1.40336 | + | 1.93155i | 0.275221 | + | 0.378809i | ||||
\(27\) | −4.81858 | − | 1.94455i | −0.927336 | − | 0.374229i | ||||
\(28\) | 0.951057 | + | 0.309017i | 0.179733 | + | 0.0583987i | ||||
\(29\) | 2.21175 | − | 1.60693i | 0.410711 | − | 0.298399i | −0.363178 | − | 0.931720i | \(-0.618308\pi\) |
0.773890 | + | 0.633320i | \(0.218308\pi\) | |||||||
\(30\) | −0.191824 | + | 1.49214i | −0.0350221 | + | 0.272426i | ||||
\(31\) | −2.56914 | − | 7.90699i | −0.461431 | − | 1.42014i | −0.863417 | − | 0.504492i | \(-0.831680\pi\) |
0.401986 | − | 0.915646i | \(-0.368320\pi\) | |||||||
\(32\) | −1.00000 | −0.176777 | ||||||||
\(33\) | −4.17645 | + | 3.94427i | −0.727026 | + | 0.686609i | ||||
\(34\) | −2.58518 | −0.443355 | ||||||||
\(35\) | −0.268405 | − | 0.826066i | −0.0453687 | − | 0.139631i | ||||
\(36\) | −2.79414 | + | 1.09214i | −0.465690 | + | 0.182023i | ||||
\(37\) | −7.66547 | + | 5.56929i | −1.26020 | + | 0.915586i | −0.998767 | − | 0.0496366i | \(-0.984194\pi\) |
−0.261429 | + | 0.965223i | \(0.584194\pi\) | |||||||
\(38\) | 1.33792 | + | 0.434718i | 0.217040 | + | 0.0705205i | ||||
\(39\) | 4.06377 | − | 0.765980i | 0.650724 | − | 0.122655i | ||||
\(40\) | 0.510537 | + | 0.702694i | 0.0807230 | + | 0.111106i | ||||
\(41\) | 1.38502 | + | 1.00627i | 0.216303 | + | 0.157154i | 0.690661 | − | 0.723179i | \(-0.257320\pi\) |
−0.474358 | + | 0.880332i | \(0.657320\pi\) | |||||||
\(42\) | 1.18843 | − | 1.26001i | 0.183379 | − | 0.194424i | ||||
\(43\) | − | 8.09566i | − | 1.23458i | −0.786737 | − | 0.617289i | \(-0.788231\pi\) | ||
0.786737 | − | 0.617289i | \(-0.211769\pi\) | |||||||
\(44\) | −0.191619 | + | 3.31108i | −0.0288876 | + | 0.499165i | ||||
\(45\) | 2.19395 | + | 1.40585i | 0.327055 | + | 0.209572i | ||||
\(46\) | −6.71360 | + | 2.18138i | −0.989866 | + | 0.321627i | ||||
\(47\) | −4.32066 | + | 5.94688i | −0.630234 | + | 0.867442i | −0.998048 | − | 0.0624572i | \(-0.980106\pi\) |
0.367814 | + | 0.929899i | \(0.380106\pi\) | |||||||
\(48\) | −0.740904 | + | 1.56559i | −0.106940 | + | 0.225973i | ||||
\(49\) | −0.309017 | + | 0.951057i | −0.0441453 | + | 0.135865i | ||||
\(50\) | −1.31195 | + | 4.03778i | −0.185538 | + | 0.571028i | ||||
\(51\) | −1.91537 | + | 4.04733i | −0.268206 | + | 0.566739i | ||||
\(52\) | 1.40336 | − | 1.93155i | 0.194611 | − | 0.267858i | ||||
\(53\) | 11.0186 | − | 3.58016i | 1.51352 | − | 0.491773i | 0.569593 | − | 0.821927i | \(-0.307101\pi\) |
0.943927 | + | 0.330154i | \(0.107101\pi\) | |||||||
\(54\) | −0.360355 | + | 5.18364i | −0.0490381 | + | 0.705404i | ||||
\(55\) | 2.42451 | − | 1.55578i | 0.326920 | − | 0.209782i | ||||
\(56\) | − | 1.00000i | − | 0.133631i | ||||||
\(57\) | 1.67186 | − | 1.77255i | 0.221443 | − | 0.234780i | ||||
\(58\) | −2.21175 | − | 1.60693i | −0.290417 | − | 0.211000i | ||||
\(59\) | −4.55709 | − | 6.27229i | −0.593282 | − | 0.816583i | 0.401790 | − | 0.915732i | \(-0.368388\pi\) |
−0.995073 | + | 0.0991487i | \(0.968388\pi\) | |||||||
\(60\) | 1.47839 | − | 0.278661i | 0.190859 | − | 0.0359750i | ||||
\(61\) | 10.7299 | + | 3.48636i | 1.37382 | + | 0.446383i | 0.900634 | − | 0.434578i | \(-0.143102\pi\) |
0.473190 | + | 0.880960i | \(0.343102\pi\) | |||||||
\(62\) | −6.72609 | + | 4.88679i | −0.854214 | + | 0.620623i | ||||
\(63\) | −1.09214 | − | 2.79414i | −0.137596 | − | 0.352029i | ||||
\(64\) | 0.309017 | + | 0.951057i | 0.0386271 | + | 0.118882i | ||||
\(65\) | −2.07376 | −0.257218 | ||||||||
\(66\) | 5.04182 | + | 2.75319i | 0.620605 | + | 0.338894i | ||||
\(67\) | 3.25130 | 0.397209 | 0.198605 | − | 0.980080i | \(-0.436359\pi\) | ||||
0.198605 | + | 0.980080i | \(0.436359\pi\) | |||||||
\(68\) | 0.798865 | + | 2.45865i | 0.0968766 | + | 0.298156i | ||||
\(69\) | −1.55899 | + | 12.1269i | −0.187681 | + | 1.45991i | ||||
\(70\) | −0.702694 | + | 0.510537i | −0.0839880 | + | 0.0610208i | ||||
\(71\) | −1.00580 | − | 0.326804i | −0.119367 | − | 0.0387845i | 0.248725 | − | 0.968574i | \(-0.419989\pi\) |
−0.368091 | + | 0.929790i | \(0.619989\pi\) | |||||||
\(72\) | 1.90212 | + | 2.31990i | 0.224167 | + | 0.273403i | ||||
\(73\) | −8.20257 | − | 11.2899i | −0.960038 | − | 1.32138i | −0.946921 | − | 0.321465i | \(-0.895825\pi\) |
−0.0131169 | − | 0.999914i | \(-0.504175\pi\) | |||||||
\(74\) | 7.66547 | + | 5.56929i | 0.891093 | + | 0.647417i | ||||
\(75\) | 5.34946 | + | 5.04559i | 0.617703 | + | 0.582614i | ||||
\(76\) | − | 1.40678i | − | 0.161368i | ||||||
\(77\) | −3.31108 | − | 0.191619i | −0.377333 | − | 0.0218370i | ||||
\(78\) | −1.98426 | − | 3.62817i | −0.224674 | − | 0.410810i | ||||
\(79\) | 14.0381 | − | 4.56125i | 1.57941 | − | 0.513181i | 0.617504 | − | 0.786568i | \(-0.288144\pi\) |
0.961904 | + | 0.273387i | \(0.0881441\pi\) | |||||||
\(80\) | 0.510537 | − | 0.702694i | 0.0570798 | − | 0.0785635i | ||||
\(81\) | 7.84845 | + | 4.40475i | 0.872050 | + | 0.489416i | ||||
\(82\) | 0.529029 | − | 1.62818i | 0.0584215 | − | 0.179803i | ||||
\(83\) | 2.40880 | − | 7.41353i | 0.264400 | − | 0.813740i | −0.727431 | − | 0.686181i | \(-0.759286\pi\) |
0.991831 | − | 0.127559i | \(-0.0407142\pi\) | |||||||
\(84\) | −1.56559 | − | 0.740904i | −0.170819 | − | 0.0808393i | ||||
\(85\) | 1.31983 | − | 1.81659i | 0.143156 | − | 0.197037i | ||||
\(86\) | −7.69943 | + | 2.50170i | −0.830251 | + | 0.269765i | ||||
\(87\) | −4.15448 | + | 2.27210i | −0.445407 | + | 0.243595i | ||||
\(88\) | 3.20824 | − | 0.840941i | 0.342000 | − | 0.0896446i | ||||
\(89\) | 4.36036i | 0.462197i | 0.972930 | + | 0.231099i | \(0.0742320\pi\) | ||||
−0.972930 | + | 0.231099i | \(0.925768\pi\) | |||||||
\(90\) | 0.659074 | − | 2.52100i | 0.0694725 | − | 0.265737i | ||||
\(91\) | 1.93155 | + | 1.40336i | 0.202482 | + | 0.147112i | ||||
\(92\) | 4.14923 | + | 5.71093i | 0.432587 | + | 0.595406i | ||||
\(93\) | 2.66731 | + | 14.1509i | 0.276587 | + | 1.46738i | ||||
\(94\) | 6.99098 | + | 2.27151i | 0.721065 | + | 0.234288i | ||||
\(95\) | −0.988533 | + | 0.718211i | −0.101421 | + | 0.0736869i | ||||
\(96\) | 1.71791 | + | 0.220849i | 0.175334 | + | 0.0225403i | ||||
\(97\) | 3.57219 | + | 10.9941i | 0.362701 | + | 1.11628i | 0.951408 | + | 0.307933i | \(0.0996374\pi\) |
−0.588707 | + | 0.808347i | \(0.700363\pi\) | |||||||
\(98\) | 1.00000 | 0.101015 | ||||||||
\(99\) | 8.04586 | − | 5.85355i | 0.808640 | − | 0.588304i | ||||
\(100\) | 4.24557 | 0.424557 | ||||||||
\(101\) | 3.86333 | + | 11.8901i | 0.384416 | + | 1.18311i | 0.936903 | + | 0.349589i | \(0.113679\pi\) |
−0.552488 | + | 0.833521i | \(0.686321\pi\) | |||||||
\(102\) | 4.44112 | + | 0.570934i | 0.439736 | + | 0.0565309i | ||||
\(103\) | −7.10827 | + | 5.16446i | −0.700398 | + | 0.508869i | −0.880062 | − | 0.474859i | \(-0.842499\pi\) |
0.179664 | + | 0.983728i | \(0.442499\pi\) | |||||||
\(104\) | −2.27068 | − | 0.737788i | −0.222658 | − | 0.0723461i | ||||
\(105\) | 0.278661 | + | 1.47839i | 0.0271945 | + | 0.144276i | ||||
\(106\) | −6.80987 | − | 9.37298i | −0.661433 | − | 0.910384i | ||||
\(107\) | 5.70103 | + | 4.14204i | 0.551140 | + | 0.400426i | 0.828205 | − | 0.560425i | \(-0.189362\pi\) |
−0.277066 | + | 0.960851i | \(0.589362\pi\) | |||||||
\(108\) | 5.04129 | − | 1.25912i | 0.485099 | − | 0.121158i | ||||
\(109\) | 1.36825i | 0.131055i | 0.997851 | + | 0.0655274i | \(0.0208730\pi\) | ||||
−0.997851 | + | 0.0655274i | \(0.979127\pi\) | |||||||
\(110\) | −2.22885 | − | 1.82508i | −0.212512 | − | 0.174015i | ||||
\(111\) | 14.3986 | − | 7.87465i | 1.36665 | − | 0.747429i | ||||
\(112\) | −0.951057 | + | 0.309017i | −0.0898664 | + | 0.0291994i | ||||
\(113\) | 3.06929 | − | 4.22452i | 0.288735 | − | 0.397409i | −0.639868 | − | 0.768485i | \(-0.721011\pi\) |
0.928603 | + | 0.371076i | \(0.121011\pi\) | |||||||
\(114\) | −2.20243 | − | 1.04229i | −0.206276 | − | 0.0976190i | ||||
\(115\) | 1.89470 | − | 5.83128i | 0.176681 | − | 0.543770i | ||||
\(116\) | −0.844812 | + | 2.60007i | −0.0784389 | + | 0.241410i | ||||
\(117\) | −7.15037 | + | 0.418409i | −0.661052 | + | 0.0386819i | ||||
\(118\) | −4.55709 | + | 6.27229i | −0.419514 | + | 0.577411i | ||||
\(119\) | −2.45865 | + | 0.798865i | −0.225384 | + | 0.0732319i | ||||
\(120\) | −0.721869 | − | 1.31992i | −0.0658973 | − | 0.120491i | ||||
\(121\) | −2.16967 | − | 10.7839i | −0.197242 | − | 0.980355i | ||||
\(122\) | − | 11.2821i | − | 1.02143i | ||||||
\(123\) | −2.15710 | − | 2.03457i | −0.194500 | − | 0.183451i | ||||
\(124\) | 6.72609 | + | 4.88679i | 0.604021 | + | 0.438847i | ||||
\(125\) | −4.72021 | − | 6.49681i | −0.422188 | − | 0.581092i | ||||
\(126\) | −2.31990 | + | 1.90212i | −0.206673 | + | 0.169455i | ||||
\(127\) | −3.23727 | − | 1.05185i | −0.287262 | − | 0.0933370i | 0.161842 | − | 0.986817i | \(-0.448257\pi\) |
−0.449104 | + | 0.893480i | \(0.648257\pi\) | |||||||
\(128\) | 0.809017 | − | 0.587785i | 0.0715077 | − | 0.0519534i | ||||
\(129\) | −1.78792 | + | 13.9076i | −0.157417 | + | 1.22450i | ||||
\(130\) | 0.640826 | + | 1.97226i | 0.0562042 | + | 0.172979i | ||||
\(131\) | −2.32126 | −0.202809 | −0.101405 | − | 0.994845i | \(-0.532334\pi\) | ||||
−0.101405 | + | 0.994845i | \(0.532334\pi\) | |||||||
\(132\) | 1.06043 | − | 5.64584i | 0.0922989 | − | 0.491407i | ||||
\(133\) | 1.40678 | 0.121983 | ||||||||
\(134\) | −1.00471 | − | 3.09217i | −0.0867934 | − | 0.267123i | ||||
\(135\) | −3.45854 | − | 2.89966i | −0.297664 | − | 0.249563i | ||||
\(136\) | 2.09146 | − | 1.51953i | 0.179341 | − | 0.130299i | ||||
\(137\) | −11.5111 | − | 3.74017i | −0.983456 | − | 0.319544i | −0.227220 | − | 0.973843i | \(-0.572964\pi\) |
−0.756236 | + | 0.654299i | \(0.772964\pi\) | |||||||
\(138\) | 12.0151 | − | 2.26473i | 1.02280 | − | 0.192787i | ||||
\(139\) | 7.37130 | + | 10.1457i | 0.625225 | + | 0.860549i | 0.997720 | − | 0.0674855i | \(-0.0214976\pi\) |
−0.372495 | + | 0.928034i | \(0.621498\pi\) | |||||||
\(140\) | 0.702694 | + | 0.510537i | 0.0593885 | + | 0.0431482i | ||||
\(141\) | 8.73589 | − | 9.26202i | 0.735694 | − | 0.780003i | ||||
\(142\) | 1.05756i | 0.0887486i | ||||||||
\(143\) | −2.87798 | + | 7.37704i | −0.240669 | + | 0.616899i | ||||
\(144\) | 1.61857 | − | 2.52591i | 0.134881 | − | 0.210493i | ||||
\(145\) | 2.25836 | − | 0.733785i | 0.187546 | − | 0.0609375i | ||||
\(146\) | −8.20257 | + | 11.2899i | −0.678850 | + | 0.934356i | ||||
\(147\) | 0.740904 | − | 1.56559i | 0.0611087 | − | 0.129127i | ||||
\(148\) | 2.92795 | − | 9.01131i | 0.240676 | − | 0.740725i | ||||
\(149\) | 4.39186 | − | 13.5168i | 0.359795 | − | 1.10734i | −0.593381 | − | 0.804921i | \(-0.702207\pi\) |
0.953177 | − | 0.302414i | \(-0.0977926\pi\) | |||||||
\(150\) | 3.14556 | − | 6.64681i | 0.256834 | − | 0.542710i | ||||
\(151\) | −5.02618 | + | 6.91794i | −0.409025 | + | 0.562974i | −0.962980 | − | 0.269572i | \(-0.913118\pi\) |
0.553956 | + | 0.832546i | \(0.313118\pi\) | |||||||
\(152\) | −1.33792 | + | 0.434718i | −0.108520 | + | 0.0352603i | ||||
\(153\) | 4.18429 | − | 6.52995i | 0.338280 | − | 0.527915i | ||||
\(154\) | 0.840941 | + | 3.20824i | 0.0677650 | + | 0.258528i | ||||
\(155\) | − | 7.22126i | − | 0.580026i | ||||||
\(156\) | −2.83743 | + | 3.00831i | −0.227176 | + | 0.240858i | ||||
\(157\) | −7.23521 | − | 5.25669i | −0.577433 | − | 0.419529i | 0.260365 | − | 0.965510i | \(-0.416157\pi\) |
−0.837798 | + | 0.545981i | \(0.816157\pi\) | |||||||
\(158\) | −8.67601 | − | 11.9415i | −0.690226 | − | 0.950015i | ||||
\(159\) | −19.7197 | + | 3.71696i | −1.56387 | + | 0.294774i | ||||
\(160\) | −0.826066 | − | 0.268405i | −0.0653062 | − | 0.0212193i | ||||
\(161\) | −5.71093 | + | 4.14923i | −0.450084 | + | 0.327005i | ||||
\(162\) | 1.76386 | − | 8.82546i | 0.138582 | − | 0.693394i | ||||
\(163\) | 3.78357 | + | 11.6446i | 0.296352 | + | 0.912077i | 0.982764 | + | 0.184864i | \(0.0591846\pi\) |
−0.686412 | + | 0.727213i | \(0.740815\pi\) | |||||||
\(164\) | −1.71197 | −0.133683 | ||||||||
\(165\) | −4.50868 | + | 2.13725i | −0.351001 | + | 0.166385i | ||||
\(166\) | −7.79504 | −0.605013 | ||||||||
\(167\) | 4.04296 | + | 12.4429i | 0.312853 | + | 0.962864i | 0.976629 | + | 0.214932i | \(0.0689530\pi\) |
−0.663776 | + | 0.747932i | \(0.731047\pi\) | |||||||
\(168\) | −0.220849 | + | 1.71791i | −0.0170388 | + | 0.132540i | ||||
\(169\) | −5.90557 | + | 4.29065i | −0.454275 | + | 0.330050i | ||||
\(170\) | −2.13553 | − | 0.693876i | −0.163788 | − | 0.0532179i | ||||
\(171\) | −3.26358 | + | 2.67586i | −0.249572 | + | 0.204628i | ||||
\(172\) | 4.75851 | + | 6.54953i | 0.362833 | + | 0.499397i | ||||
\(173\) | 13.9724 | + | 10.1516i | 1.06230 | + | 0.771809i | 0.974513 | − | 0.224330i | \(-0.0720194\pi\) |
0.0877903 | + | 0.996139i | \(0.472019\pi\) | |||||||
\(174\) | 3.44470 | + | 3.24903i | 0.261142 | + | 0.246308i | ||||
\(175\) | 4.24557i | 0.320935i | ||||||||
\(176\) | −1.79118 | − | 2.79135i | −0.135016 | − | 0.210406i | ||||
\(177\) | 6.44345 | + | 11.7817i | 0.484320 | + | 0.885565i | ||||
\(178\) | 4.14695 | − | 1.34743i | 0.310827 | − | 0.100994i | ||||
\(179\) | −1.60174 | + | 2.20460i | −0.119719 | + | 0.164780i | −0.864670 | − | 0.502339i | \(-0.832473\pi\) |
0.744951 | + | 0.667119i | \(0.232473\pi\) | |||||||
\(180\) | −2.60128 | + | 0.152216i | −0.193888 | + | 0.0113455i | ||||
\(181\) | −5.32872 | + | 16.4001i | −0.396081 | + | 1.21901i | 0.532036 | + | 0.846722i | \(0.321427\pi\) |
−0.928117 | + | 0.372289i | \(0.878573\pi\) | |||||||
\(182\) | 0.737788 | − | 2.27068i | 0.0546885 | − | 0.168314i | ||||
\(183\) | −17.6631 | − | 8.35895i | −1.30569 | − | 0.617911i | ||||
\(184\) | 4.14923 | − | 5.71093i | 0.305886 | − | 0.421015i | ||||
\(185\) | −7.82701 | + | 2.54315i | −0.575454 | + | 0.186976i | ||||
\(186\) | 12.6341 | − | 6.90963i | 0.926375 | − | 0.506639i | ||||
\(187\) | −4.63054 | − | 7.21616i | −0.338618 | − | 0.527698i | ||||
\(188\) | − | 7.35075i | − | 0.536109i | ||||||
\(189\) | 1.25912 | + | 5.04129i | 0.0915872 | + | 0.366700i | ||||
\(190\) | 0.988533 | + | 0.718211i | 0.0717157 | + | 0.0521045i | ||||
\(191\) | −5.57837 | − | 7.67797i | −0.403637 | − | 0.555559i | 0.558015 | − | 0.829831i | \(-0.311563\pi\) |
−0.961652 | + | 0.274272i | \(0.911563\pi\) | |||||||
\(192\) | −0.320825 | − | 1.70208i | −0.0231535 | − | 0.122837i | ||||
\(193\) | −0.857425 | − | 0.278594i | −0.0617188 | − | 0.0200537i | 0.277995 | − | 0.960583i | \(-0.410330\pi\) |
−0.339714 | + | 0.940529i | \(0.610330\pi\) | |||||||
\(194\) | 9.35213 | − | 6.79472i | 0.671444 | − | 0.487832i | ||||
\(195\) | 3.56253 | + | 0.457986i | 0.255118 | + | 0.0327971i | ||||
\(196\) | −0.309017 | − | 0.951057i | −0.0220726 | − | 0.0679326i | ||||
\(197\) | 16.1154 | 1.14818 | 0.574088 | − | 0.818794i | \(-0.305357\pi\) | ||||
0.574088 | + | 0.818794i | \(0.305357\pi\) | |||||||
\(198\) | −8.05337 | − | 5.84322i | −0.572328 | − | 0.415260i | ||||
\(199\) | −2.39529 | −0.169798 | −0.0848989 | − | 0.996390i | \(-0.527057\pi\) | ||||
−0.0848989 | + | 0.996390i | \(0.527057\pi\) | |||||||
\(200\) | −1.31195 | − | 4.03778i | −0.0927692 | − | 0.285514i | ||||
\(201\) | −5.58545 | − | 0.718045i | −0.393967 | − | 0.0506470i | ||||
\(202\) | 10.1143 | − | 7.34849i | 0.711642 | − | 0.517038i | ||||
\(203\) | −2.60007 | − | 0.844812i | −0.182489 | − | 0.0592942i | ||||
\(204\) | −0.829391 | − | 4.40018i | −0.0580690 | − | 0.308074i | ||||
\(205\) | 0.874026 | + | 1.20299i | 0.0610446 | + | 0.0840207i | ||||
\(206\) | 7.10827 | + | 5.16446i | 0.495256 | + | 0.359825i | ||||
\(207\) | 5.35643 | − | 20.4887i | 0.372297 | − | 1.42406i | ||||
\(208\) | 2.38753i | 0.165546i | ||||||||
\(209\) | 1.18302 | + | 4.51328i | 0.0818309 | + | 0.312190i | ||||
\(210\) | 1.31992 | − | 0.721869i | 0.0910830 | − | 0.0498137i | ||||
\(211\) | −1.10512 | + | 0.359075i | −0.0760796 | + | 0.0247197i | −0.346809 | − | 0.937936i | \(-0.612735\pi\) |
0.270730 | + | 0.962655i | \(0.412735\pi\) | |||||||
\(212\) | −6.80987 | + | 9.37298i | −0.467703 | + | 0.643739i | ||||
\(213\) | 1.65570 | + | 0.783551i | 0.113447 | + | 0.0536880i | ||||
\(214\) | 2.17760 | − | 6.70196i | 0.148858 | − | 0.458137i | ||||
\(215\) | 2.17292 | − | 6.68755i | 0.148192 | − | 0.456087i | ||||
\(216\) | −2.75533 | − | 4.40547i | −0.187477 | − | 0.299754i | ||||
\(217\) | −4.88679 | + | 6.72609i | −0.331737 | + | 0.456597i | ||||
\(218\) | 1.30129 | − | 0.422813i | 0.0881342 | − | 0.0286365i | ||||
\(219\) | 11.5980 | + | 21.2065i | 0.783717 | + | 1.43301i | ||||
\(220\) | −1.04700 | + | 2.68374i | −0.0705889 | + | 0.180938i | ||||
\(221\) | 6.17221i | 0.415188i | ||||||||
\(222\) | −11.9386 | − | 11.2605i | −0.801270 | − | 0.755753i | ||||
\(223\) | −16.3441 | − | 11.8747i | −1.09448 | − | 0.795188i | −0.114332 | − | 0.993443i | \(-0.536473\pi\) |
−0.980151 | + | 0.198254i | \(0.936473\pi\) | |||||||
\(224\) | 0.587785 | + | 0.809017i | 0.0392731 | + | 0.0540547i | ||||
\(225\) | −8.07560 | − | 9.84930i | −0.538373 | − | 0.656620i | ||||
\(226\) | −4.96622 | − | 1.61362i | −0.330348 | − | 0.107337i | ||||
\(227\) | −8.63392 | + | 6.27291i | −0.573053 | + | 0.416348i | −0.836213 | − | 0.548405i | \(-0.815235\pi\) |
0.263160 | + | 0.964752i | \(0.415235\pi\) | |||||||
\(228\) | −0.310685 | + | 2.41672i | −0.0205756 | + | 0.160051i | ||||
\(229\) | 0.489598 | + | 1.50683i | 0.0323535 | + | 0.0995739i | 0.965929 | − | 0.258806i | \(-0.0833291\pi\) |
−0.933576 | + | 0.358380i | \(0.883329\pi\) | |||||||
\(230\) | −6.13137 | −0.404291 | ||||||||
\(231\) | 5.64584 | + | 1.06043i | 0.371469 | + | 0.0697714i | ||||
\(232\) | 2.73387 | 0.179487 | ||||||||
\(233\) | 3.15670 | + | 9.71532i | 0.206802 | + | 0.636472i | 0.999635 | + | 0.0270320i | \(0.00860560\pi\) |
−0.792832 | + | 0.609440i | \(0.791394\pi\) | |||||||
\(234\) | 2.60752 | + | 6.67111i | 0.170459 | + | 0.436104i | ||||
\(235\) | −5.16533 | + | 3.75283i | −0.336949 | + | 0.244808i | ||||
\(236\) | 7.37352 | + | 2.39580i | 0.479975 | + | 0.155953i | ||||
\(237\) | −25.1236 | + | 4.73554i | −1.63195 | + | 0.307606i | ||||
\(238\) | 1.51953 | + | 2.09146i | 0.0984966 | + | 0.135569i | ||||
\(239\) | 16.8321 | + | 12.2292i | 1.08878 | + | 0.791041i | 0.979192 | − | 0.202936i | \(-0.0650484\pi\) |
0.109583 | + | 0.993978i | \(0.465048\pi\) | |||||||
\(240\) | −1.03225 | + | 1.09442i | −0.0666313 | + | 0.0706442i | ||||
\(241\) | − | 15.8700i | − | 1.02228i | −0.859499 | − | 0.511138i | \(-0.829224\pi\) | ||
0.859499 | − | 0.511138i | \(-0.170776\pi\) | |||||||
\(242\) | −9.58564 | + | 5.39588i | −0.616188 | + | 0.346861i | ||||
\(243\) | −12.5102 | − | 9.30030i | −0.802528 | − | 0.596614i | ||||
\(244\) | −10.7299 | + | 3.48636i | −0.686912 | + | 0.223191i | ||||
\(245\) | −0.510537 | + | 0.702694i | −0.0326170 | + | 0.0448935i | ||||
\(246\) | −1.26841 | + | 2.68024i | −0.0808708 | + | 0.170886i | ||||
\(247\) | 1.03790 | − | 3.19434i | 0.0660402 | − | 0.203251i | ||||
\(248\) | 2.56914 | − | 7.90699i | 0.163140 | − | 0.502094i | ||||
\(249\) | −5.77538 | + | 12.2038i | −0.366000 | + | 0.773385i | ||||
\(250\) | −4.72021 | + | 6.49681i | −0.298532 | + | 0.410894i | ||||
\(251\) | 8.08993 | − | 2.62858i | 0.510632 | − | 0.165914i | −0.0423578 | − | 0.999103i | \(-0.513487\pi\) |
0.552990 | + | 0.833188i | \(0.313487\pi\) | |||||||
\(252\) | 2.52591 | + | 1.61857i | 0.159118 | + | 0.101960i | ||||
\(253\) | −18.1143 | − | 14.8328i | −1.13884 | − | 0.932529i | ||||
\(254\) | 3.40387i | 0.213578i | ||||||||
\(255\) | −2.66855 | + | 2.82926i | −0.167111 | + | 0.177175i | ||||
\(256\) | −0.809017 | − | 0.587785i | −0.0505636 | − | 0.0367366i | ||||
\(257\) | −7.98604 | − | 10.9918i | −0.498156 | − | 0.685652i | 0.483711 | − | 0.875228i | \(-0.339289\pi\) |
−0.981866 | + | 0.189576i | \(0.939289\pi\) | |||||||
\(258\) | 13.7795 | − | 2.59729i | 0.857872 | − | 0.161700i | ||||
\(259\) | 9.01131 | + | 2.92795i | 0.559935 | + | 0.181934i | ||||
\(260\) | 1.67770 | − | 1.21892i | 0.104047 | − | 0.0755944i | ||||
\(261\) | 7.63882 | − | 2.98576i | 0.472831 | − | 0.184814i | ||||
\(262\) | 0.717308 | + | 2.20765i | 0.0443154 | + | 0.136389i | ||||
\(263\) | −24.4820 | −1.50962 | −0.754811 | − | 0.655942i | \(-0.772271\pi\) | ||||
−0.754811 | + | 0.655942i | \(0.772271\pi\) | |||||||
\(264\) | −5.69720 | + | 0.736128i | −0.350639 | + | 0.0453055i | ||||
\(265\) | 10.0630 | 0.618166 | ||||||||
\(266\) | −0.434718 | − | 1.33792i | −0.0266543 | − | 0.0820334i | ||||
\(267\) | 0.962980 | − | 7.49072i | 0.0589334 | − | 0.458425i | ||||
\(268\) | −2.63035 | + | 1.91106i | −0.160674 | + | 0.116737i | ||||
\(269\) | 2.86740 | + | 0.931675i | 0.174828 | + | 0.0568052i | 0.395123 | − | 0.918628i | \(-0.370702\pi\) |
−0.220295 | + | 0.975433i | \(0.570702\pi\) | |||||||
\(270\) | −1.68899 | + | 4.18531i | −0.102789 | + | 0.254710i | ||||
\(271\) | 4.85580 | + | 6.68343i | 0.294969 | + | 0.405990i | 0.930620 | − | 0.365987i | \(-0.119268\pi\) |
−0.635651 | + | 0.771976i | \(0.719268\pi\) | |||||||
\(272\) | −2.09146 | − | 1.51953i | −0.126813 | − | 0.0921352i | ||||
\(273\) | −3.00831 | − | 2.83743i | −0.182071 | − | 0.171729i | ||||
\(274\) | 12.1034i | 0.731195i | ||||||||
\(275\) | −13.6208 | + | 3.57028i | −0.821367 | + | 0.215296i | ||||
\(276\) | −5.86677 | − | 10.7272i | −0.353138 | − | 0.645704i | ||||
\(277\) | 5.89617 | − | 1.91578i | 0.354267 | − | 0.115108i | −0.126477 | − | 0.991970i | \(-0.540367\pi\) |
0.480743 | + | 0.876861i | \(0.340367\pi\) | |||||||
\(278\) | 7.37130 | − | 10.1457i | 0.442101 | − | 0.608500i | ||||
\(279\) | −1.45699 | − | 24.8991i | −0.0872276 | − | 1.49067i | ||||
\(280\) | 0.268405 | − | 0.826066i | 0.0160403 | − | 0.0493669i | ||||
\(281\) | 7.08533 | − | 21.8064i | 0.422675 | − | 1.30086i | −0.482527 | − | 0.875881i | \(-0.660281\pi\) |
0.905203 | − | 0.424980i | \(-0.139719\pi\) | |||||||
\(282\) | −11.5082 | − | 5.44620i | −0.685306 | − | 0.324317i | ||||
\(283\) | 0.655664 | − | 0.902445i | 0.0389752 | − | 0.0536448i | −0.789085 | − | 0.614284i | \(-0.789445\pi\) |
0.828060 | + | 0.560640i | \(0.189445\pi\) | |||||||
\(284\) | 1.00580 | − | 0.326804i | 0.0596833 | − | 0.0193923i | ||||
\(285\) | 1.85683 | − | 1.01551i | 0.109989 | − | 0.0601535i | ||||
\(286\) | 7.90532 | + | 0.457497i | 0.467452 | + | 0.0270523i | ||||
\(287\) | − | 1.71197i | − | 0.101055i | ||||||
\(288\) | −2.90245 | − | 0.758798i | −0.171029 | − | 0.0447126i | ||||
\(289\) | 8.34649 | + | 6.06408i | 0.490970 | + | 0.356711i | ||||
\(290\) | −1.39574 | − | 1.92107i | −0.0819608 | − | 0.112809i | ||||
\(291\) | −3.70869 | − | 19.6758i | −0.217407 | − | 1.15342i | ||||
\(292\) | 13.2720 | + | 4.31235i | 0.776687 | + | 0.252361i | ||||
\(293\) | 18.4654 | − | 13.4159i | 1.07876 | − | 0.783765i | 0.101294 | − | 0.994857i | \(-0.467702\pi\) |
0.977466 | + | 0.211091i | \(0.0677017\pi\) | |||||||
\(294\) | −1.71791 | − | 0.220849i | −0.100191 | − | 0.0128802i | ||||
\(295\) | −2.08094 | − | 6.40447i | −0.121157 | − | 0.372883i | ||||
\(296\) | −9.47505 | −0.550726 | ||||||||
\(297\) | −15.1148 | + | 8.27898i | −0.877052 | + | 0.480395i | ||||
\(298\) | −14.2124 | −0.823300 | ||||||||
\(299\) | 5.20812 | + | 16.0289i | 0.301193 | + | 0.926978i | ||||
\(300\) | −7.29353 | − | 0.937630i | −0.421092 | − | 0.0541341i | ||||
\(301\) | −6.54953 | + | 4.75851i | −0.377509 | + | 0.274276i | ||||
\(302\) | 8.13253 | + | 2.64242i | 0.467974 | + | 0.152054i | ||||
\(303\) | −4.01095 | − | 21.2794i | −0.230423 | − | 1.22247i | ||||
\(304\) | 0.826882 | + | 1.13811i | 0.0474250 | + | 0.0652748i | ||||
\(305\) | 7.92786 | + | 5.75993i | 0.453948 | + | 0.329812i | ||||
\(306\) | −7.50337 | − | 1.96163i | −0.428939 | − | 0.112139i | ||||
\(307\) | 24.2578i | 1.38447i | 0.721674 | + | 0.692233i | \(0.243373\pi\) | ||||
−0.721674 | + | 0.692233i | \(0.756627\pi\) | |||||||
\(308\) | 2.79135 | − | 1.79118i | 0.159052 | − | 0.102062i | ||||
\(309\) | 13.3519 | − | 7.30224i | 0.759566 | − | 0.415410i | ||||
\(310\) | −6.86783 | + | 2.23149i | −0.390067 | + | 0.126740i | ||||
\(311\) | 14.2391 | − | 19.5985i | 0.807428 | − | 1.11133i | −0.184287 | − | 0.982872i | \(-0.558998\pi\) |
0.991715 | − | 0.128457i | \(-0.0410024\pi\) | |||||||
\(312\) | 3.73789 | + | 1.76893i | 0.211616 | + | 0.100146i | ||||
\(313\) | 5.95258 | − | 18.3202i | 0.336460 | − | 1.03552i | −0.629539 | − | 0.776969i | \(-0.716756\pi\) |
0.965999 | − | 0.258548i | \(-0.0832439\pi\) | |||||||
\(314\) | −2.76360 | + | 8.50550i | −0.155959 | + | 0.479993i | ||||
\(315\) | −0.152216 | − | 2.60128i | −0.00857639 | − | 0.146566i | ||||
\(316\) | −8.67601 | + | 11.9415i | −0.488064 | + | 0.671762i | ||||
\(317\) | −9.22231 | + | 2.99651i | −0.517976 | + | 0.168301i | −0.556327 | − | 0.830964i | \(-0.687790\pi\) |
0.0383503 | + | 0.999264i | \(0.487790\pi\) | |||||||
\(318\) | 9.62875 | + | 17.6059i | 0.539953 | + | 0.987290i | ||||
\(319\) | 0.523861 | − | 9.05208i | 0.0293306 | − | 0.506819i | ||||
\(320\) | 0.868577i | 0.0485549i | ||||||||
\(321\) | −8.87911 | − | 8.37473i | −0.495584 | − | 0.467432i | ||||
\(322\) | 5.71093 | + | 4.14923i | 0.318258 | + | 0.231228i | ||||
\(323\) | 2.13764 | + | 2.94221i | 0.118942 | + | 0.163709i | ||||
\(324\) | −8.93858 | + | 1.04969i | −0.496588 | + | 0.0583160i | ||||
\(325\) | 9.64033 | + | 3.13233i | 0.534750 | + | 0.173751i | ||||
\(326\) | 9.90550 | − | 7.19677i | 0.548615 | − | 0.398592i | ||||
\(327\) | 0.302177 | − | 2.35054i | 0.0167104 | − | 0.129985i | ||||
\(328\) | 0.529029 | + | 1.62818i | 0.0292108 | + | 0.0899015i | ||||
\(329\) | 7.35075 | 0.405260 | ||||||||
\(330\) | 3.42590 | + | 3.62757i | 0.188590 | + | 0.199691i | ||||
\(331\) | 25.6282 | 1.40865 | 0.704327 | − | 0.709876i | \(-0.251249\pi\) | ||||
0.704327 | + | 0.709876i | \(0.251249\pi\) | |||||||
\(332\) | 2.40880 | + | 7.41353i | 0.132200 | + | 0.406870i | ||||
\(333\) | −26.4746 | + | 10.3481i | −1.45080 | + | 0.567070i | ||||
\(334\) | 10.5846 | − | 7.69016i | 0.579164 | − | 0.420787i | ||||
\(335\) | 2.68579 | + | 0.872665i | 0.146740 | + | 0.0476788i | ||||
\(336\) | 1.70208 | − | 0.320825i | 0.0928560 | − | 0.0175024i | ||||
\(337\) | 11.0189 | + | 15.1662i | 0.600237 | + | 0.826155i | 0.995730 | − | 0.0923139i | \(-0.0294263\pi\) |
−0.395493 | + | 0.918469i | \(0.629426\pi\) | |||||||
\(338\) | 5.90557 | + | 4.29065i | 0.321221 | + | 0.233380i | ||||
\(339\) | −6.20575 | + | 6.57950i | −0.337050 | + | 0.357350i | ||||
\(340\) | 2.24543i | 0.121776i | ||||||||
\(341\) | −25.6884 | − | 10.0218i | −1.39111 | − | 0.542709i | ||||
\(342\) | 3.55340 | + | 2.27696i | 0.192146 | + | 0.123124i | ||||
\(343\) | 0.951057 | − | 0.309017i | 0.0513522 | − | 0.0166853i | ||||
\(344\) | 4.75851 | − | 6.54953i | 0.256562 | − | 0.353127i | ||||
\(345\) | −4.54276 | + | 9.59919i | −0.244574 | + | 0.516803i | ||||
\(346\) | 5.33699 | − | 16.4256i | 0.286918 | − | 0.883044i | ||||
\(347\) | −0.170339 | + | 0.524249i | −0.00914426 | + | 0.0281432i | −0.955525 | − | 0.294912i | \(-0.904710\pi\) |
0.946380 | + | 0.323055i | \(0.104710\pi\) | |||||||
\(348\) | 2.02554 | − | 4.28011i | 0.108580 | − | 0.229438i | ||||
\(349\) | −6.49222 | + | 8.93578i | −0.347521 | + | 0.478321i | −0.946619 | − | 0.322354i | \(-0.895526\pi\) |
0.599099 | + | 0.800675i | \(0.295526\pi\) | |||||||
\(350\) | 4.03778 | − | 1.31195i | 0.215828 | − | 0.0701269i | ||||
\(351\) | 12.3761 | + | 0.860360i | 0.660588 | + | 0.0459226i | ||||
\(352\) | −2.10123 | + | 2.56609i | −0.111996 | + | 0.136773i | ||||
\(353\) | − | 19.7791i | − | 1.05273i | −0.850257 | − | 0.526367i | \(-0.823554\pi\) | ||
0.850257 | − | 0.526367i | \(-0.176446\pi\) | |||||||
\(354\) | 9.21391 | − | 9.76883i | 0.489714 | − | 0.519207i | ||||
\(355\) | −0.743141 | − | 0.539924i | −0.0394419 | − | 0.0286562i | ||||
\(356\) | −2.56296 | − | 3.52761i | −0.135836 | − | 0.186963i | ||||
\(357\) | 4.40018 | − | 0.829391i | 0.232882 | − | 0.0438960i | ||||
\(358\) | 2.59166 | + | 0.842083i | 0.136974 | + | 0.0445055i | ||||
\(359\) | 7.99645 | − | 5.80976i | 0.422036 | − | 0.306627i | −0.356420 | − | 0.934326i | \(-0.616003\pi\) |
0.778457 | + | 0.627698i | \(0.216003\pi\) | |||||||
\(360\) | 0.948606 | + | 2.42693i | 0.0499959 | + | 0.127910i | ||||
\(361\) | 5.25977 | + | 16.1879i | 0.276830 | + | 0.851996i | ||||
\(362\) | 17.2441 | 0.906330 | ||||||||
\(363\) | 1.34569 | + | 19.0050i | 0.0706303 | + | 0.997503i | ||||
\(364\) | −2.38753 | −0.125141 | ||||||||
\(365\) | −3.74561 | − | 11.5278i | −0.196054 | − | 0.603392i | ||||
\(366\) | −2.49164 | + | 19.3817i | −0.130240 | + | 1.01310i | ||||
\(367\) | 19.3727 | − | 14.0751i | 1.01125 | − | 0.734714i | 0.0467764 | − | 0.998905i | \(-0.485105\pi\) |
0.964470 | + | 0.264192i | \(0.0851052\pi\) | |||||||
\(368\) | −6.71360 | − | 2.18138i | −0.349971 | − | 0.113712i | ||||
\(369\) | 3.25639 | + | 3.97161i | 0.169521 | + | 0.206754i | ||||
\(370\) | 4.83736 | + | 6.65806i | 0.251482 | + | 0.346136i | ||||
\(371\) | −9.37298 | − | 6.80987i | −0.486621 | − | 0.353551i | ||||
\(372\) | −10.4756 | − | 9.88053i | −0.543134 | − | 0.512281i | ||||
\(373\) | 6.97622i | 0.361215i | 0.983555 | + | 0.180607i | \(0.0578063\pi\) | ||||
−0.983555 | + | 0.180607i | \(0.942194\pi\) | |||||||
\(374\) | −5.43206 | + | 6.63382i | −0.280885 | + | 0.343027i | ||||
\(375\) | 6.67409 | + | 12.2034i | 0.344649 | + | 0.630181i | ||||
\(376\) | −6.99098 | + | 2.27151i | −0.360532 | + | 0.117144i | ||||
\(377\) | −3.83660 | + | 5.28062i | −0.197595 | + | 0.271966i | ||||
\(378\) | 4.40547 | − | 2.75533i | 0.226593 | − | 0.141719i | ||||
\(379\) | −10.6387 | + | 32.7426i | −0.546474 | + | 1.68187i | 0.170987 | + | 0.985273i | \(0.445304\pi\) |
−0.717460 | + | 0.696599i | \(0.754696\pi\) | |||||||
\(380\) | 0.377586 | − | 1.16209i | 0.0193697 | − | 0.0596140i | ||||
\(381\) | 5.32906 | + | 2.52194i | 0.273016 | + | 0.129203i | ||||
\(382\) | −5.57837 | + | 7.67797i | −0.285414 | + | 0.392839i | ||||
\(383\) | −2.22861 | + | 0.724118i | −0.113876 | + | 0.0370007i | −0.365401 | − | 0.930850i | \(-0.619068\pi\) |
0.251524 | + | 0.967851i | \(0.419068\pi\) | |||||||
\(384\) | −1.51963 | + | 0.831094i | −0.0775484 | + | 0.0424116i | ||||
\(385\) | −2.68374 | − | 1.04700i | −0.136776 | − | 0.0533602i | ||||
\(386\) | 0.901550i | 0.0458877i | ||||||||
\(387\) | 6.14297 | − | 23.4973i | 0.312265 | − | 1.19443i | ||||
\(388\) | −9.35213 | − | 6.79472i | −0.474782 | − | 0.344950i | ||||
\(389\) | 6.08479 | + | 8.37499i | 0.308511 | + | 0.424629i | 0.934916 | − | 0.354869i | \(-0.115474\pi\) |
−0.626405 | + | 0.779498i | \(0.715474\pi\) | |||||||
\(390\) | −0.665313 | − | 3.52970i | −0.0336894 | − | 0.178733i | ||||
\(391\) | −17.3559 | − | 5.63927i | −0.877725 | − | 0.285190i | ||||
\(392\) | −0.809017 | + | 0.587785i | −0.0408615 | + | 0.0296876i | ||||
\(393\) | 3.98772 | + | 0.512647i | 0.201154 | + | 0.0258596i | ||||
\(394\) | −4.97994 | − | 15.3267i | −0.250886 | − | 0.772147i | ||||
\(395\) | 12.8206 | 0.645077 | ||||||||
\(396\) | −3.06861 | + | 9.46486i | −0.154203 | + | 0.475627i | ||||
\(397\) | −21.5362 | −1.08087 | −0.540435 | − | 0.841386i | \(-0.681740\pi\) | ||||
−0.540435 | + | 0.841386i | \(0.681740\pi\) | |||||||
\(398\) | 0.740186 | + | 2.27806i | 0.0371022 | + | 0.114189i | ||||
\(399\) | −2.41672 | − | 0.310685i | −0.120987 | − | 0.0155537i | ||||
\(400\) | −3.43474 | + | 2.49549i | −0.171737 | + | 0.124774i | ||||
\(401\) | 5.84277 | + | 1.89843i | 0.291774 | + | 0.0948031i | 0.451247 | − | 0.892399i | \(-0.350979\pi\) |
−0.159473 | + | 0.987202i | \(0.550979\pi\) | |||||||
\(402\) | 1.04310 | + | 5.53396i | 0.0520249 | + | 0.276009i | ||||
\(403\) | 11.6674 | + | 16.0588i | 0.581193 | + | 0.799944i | ||||
\(404\) | −10.1143 | − | 7.34849i | −0.503207 | − | 0.365601i | ||||
\(405\) | 5.30108 | + | 5.74518i | 0.263413 | + | 0.285480i | ||||
\(406\) | 2.73387i | 0.135680i | ||||||||
\(407\) | −1.81560 | + | 31.3727i | −0.0899959 | + | 1.55509i | ||||
\(408\) | −3.92853 | + | 2.14853i | −0.194491 | + | 0.106368i | ||||
\(409\) | 27.1710 | − | 8.82840i | 1.34352 | − | 0.436536i | 0.453012 | − | 0.891504i | \(-0.350349\pi\) |
0.890508 | + | 0.454968i | \(0.150349\pi\) | |||||||
\(410\) | 0.874026 | − | 1.20299i | 0.0431651 | − | 0.0594116i | ||||
\(411\) | 18.9490 | + | 8.96749i | 0.934684 | + | 0.442333i | ||||
\(412\) | 2.71512 | − | 8.35627i | 0.133764 | − | 0.411684i | ||||
\(413\) | −2.39580 | + | 7.37352i | −0.117890 | + | 0.362827i | ||||
\(414\) | −21.1411 | + | 1.23709i | −1.03903 | + | 0.0607995i | ||||
\(415\) | 3.97966 | − | 5.47753i | 0.195354 | − | 0.268881i | ||||
\(416\) | 2.27068 | − | 0.737788i | 0.111329 | − | 0.0361730i | ||||
\(417\) | −10.4226 | − | 19.0574i | −0.510396 | − | 0.933245i | ||||
\(418\) | 3.92681 | − | 2.51979i | 0.192067 | − | 0.123247i | ||||
\(419\) | − | 14.0646i | − | 0.687100i | −0.939134 | − | 0.343550i | \(-0.888370\pi\) | ||
0.939134 | − | 0.343550i | \(-0.111630\pi\) | |||||||
\(420\) | −1.09442 | − | 1.03225i | −0.0534020 | − | 0.0503685i | ||||
\(421\) | 31.3061 | + | 22.7452i | 1.52577 | + | 1.10853i | 0.958535 | + | 0.284976i | \(0.0919855\pi\) |
0.567231 | + | 0.823558i | \(0.308014\pi\) | |||||||
\(422\) | 0.683001 | + | 0.940071i | 0.0332480 | + | 0.0457619i | ||||
\(423\) | −17.0530 | + | 13.9820i | −0.829145 | + | 0.679830i | ||||
\(424\) | 11.0186 | + | 3.58016i | 0.535110 | + | 0.173868i | ||||
\(425\) | −8.87943 | + | 6.45129i | −0.430716 | + | 0.312933i | ||||
\(426\) | 0.233561 | − | 1.81680i | 0.0113161 | − | 0.0880242i | ||||
\(427\) | −3.48636 | − | 10.7299i | −0.168717 | − | 0.519257i | ||||
\(428\) | −7.04686 | −0.340623 | ||||||||
\(429\) | 6.57334 | − | 12.0375i | 0.317364 | − | 0.581176i | ||||
\(430\) | −7.03171 | −0.339099 | ||||||||
\(431\) | 0.574964 | + | 1.76956i | 0.0276950 | + | 0.0852366i | 0.963949 | − | 0.266088i | \(-0.0857313\pi\) |
−0.936254 | + | 0.351325i | \(0.885731\pi\) | |||||||
\(432\) | −3.33840 | + | 3.98184i | −0.160619 | + | 0.191577i | ||||
\(433\) | 31.9942 | − | 23.2452i | 1.53755 | − | 1.11709i | 0.585694 | − | 0.810532i | \(-0.300822\pi\) |
0.951851 | − | 0.306560i | \(-0.0991780\pi\) | |||||||
\(434\) | 7.90699 | + | 2.56914i | 0.379548 | + | 0.123323i | ||||
\(435\) | −4.04172 | + | 0.761823i | −0.193785 | + | 0.0365266i | ||||
\(436\) | −0.804239 | − | 1.10694i | −0.0385160 | − | 0.0530128i | ||||
\(437\) | 8.03400 | + | 5.83704i | 0.384318 | + | 0.279224i | ||||
\(438\) | 16.5847 | − | 17.5835i | 0.792446 | − | 0.840172i | ||||
\(439\) | − | 1.37828i | − | 0.0657816i | −0.999459 | − | 0.0328908i | \(-0.989529\pi\) | ||
0.999459 | − | 0.0328908i | \(-0.0104714\pi\) | |||||||
\(440\) | 2.87593 | + | 0.166436i | 0.137105 | + | 0.00793452i | ||||
\(441\) | −1.61857 | + | 2.52591i | −0.0770746 | + | 0.120282i | ||||
\(442\) | 5.87012 | − | 1.90732i | 0.279213 | − | 0.0907218i | ||||
\(443\) | 19.1405 | − | 26.3446i | 0.909391 | − | 1.25167i | −0.0579827 | − | 0.998318i | \(-0.518467\pi\) |
0.967374 | − | 0.253352i | \(-0.0815332\pi\) | |||||||
\(444\) | −7.02010 | + | 14.8340i | −0.333159 | + | 0.703991i | ||||
\(445\) | −1.17034 | + | 3.60195i | −0.0554796 | + | 0.170749i | ||||
\(446\) | −6.24289 | + | 19.2137i | −0.295610 | + | 0.909793i | ||||
\(447\) | −10.5300 | + | 22.2507i | −0.498052 | + | 1.05242i | ||||
\(448\) | 0.587785 | − | 0.809017i | 0.0277702 | − | 0.0382225i | ||||
\(449\) | −25.9542 | + | 8.43302i | −1.22485 | + | 0.397979i | −0.848847 | − | 0.528638i | \(-0.822703\pi\) |
−0.376006 | + | 0.926617i | \(0.622703\pi\) | |||||||
\(450\) | −6.87174 | + | 10.7240i | −0.323937 | + | 0.505532i | ||||
\(451\) | 5.49243 | − | 1.43967i | 0.258628 | − | 0.0677914i | ||||
\(452\) | 5.22179i | 0.245612i | ||||||||
\(453\) | 10.1624 | − | 10.7744i | 0.477469 | − | 0.506225i | ||||
\(454\) | 8.63392 | + | 6.27291i | 0.405210 | + | 0.294402i | ||||
\(455\) | 1.21892 | + | 1.67770i | 0.0571440 | + | 0.0786520i | ||||
\(456\) | 2.39444 | − | 0.451329i | 0.112130 | − | 0.0211354i | ||||
\(457\) | −8.78464 | − | 2.85430i | −0.410928 | − | 0.133519i | 0.0962556 | − | 0.995357i | \(-0.469313\pi\) |
−0.507184 | + | 0.861838i | \(0.669313\pi\) | |||||||
\(458\) | 1.28178 | − | 0.931270i | 0.0598938 | − | 0.0435154i | ||||
\(459\) | −8.63038 | + | 10.2938i | −0.402832 | + | 0.480473i | ||||
\(460\) | 1.89470 | + | 5.83128i | 0.0883407 | + | 0.271885i | ||||
\(461\) | 32.8527 | 1.53010 | 0.765051 | − | 0.643969i | \(-0.222714\pi\) | ||||
0.765051 | + | 0.643969i | \(0.222714\pi\) | |||||||
\(462\) | −0.736128 | − | 5.69720i | −0.0342478 | − | 0.265058i | ||||
\(463\) | −0.810614 | −0.0376724 | −0.0188362 | − | 0.999823i | \(-0.505996\pi\) | ||||
−0.0188362 | + | 0.999823i | \(0.505996\pi\) | |||||||
\(464\) | −0.844812 | − | 2.60007i | −0.0392194 | − | 0.120705i | ||||
\(465\) | −1.59481 | + | 12.4055i | −0.0739574 | + | 0.575292i | ||||
\(466\) | 8.26435 | − | 6.00440i | 0.382838 | − | 0.278148i | ||||
\(467\) | 9.31227 | + | 3.02574i | 0.430920 | + | 0.140014i | 0.516443 | − | 0.856322i | \(-0.327256\pi\) |
−0.0855224 | + | 0.996336i | \(0.527256\pi\) | |||||||
\(468\) | 5.53883 | − | 4.54138i | 0.256033 | − | 0.209925i | ||||
\(469\) | −1.91106 | − | 2.63035i | −0.0882447 | − | 0.121458i | ||||
\(470\) | 5.16533 | + | 3.75283i | 0.238259 | + | 0.173105i | ||||
\(471\) | 11.2685 | + | 10.6284i | 0.519226 | + | 0.489732i | ||||
\(472\) | − | 7.75298i | − | 0.356860i | ||||||
\(473\) | −20.7742 | − | 17.0109i | −0.955200 | − | 0.782160i | ||||
\(474\) | 12.2674 | + | 22.4306i | 0.563459 | + | 1.03027i | ||||
\(475\) | 5.68025 | − | 1.84563i | 0.260628 | − | 0.0846831i | ||||
\(476\) | 1.51953 | − | 2.09146i | 0.0696476 | − | 0.0958617i | ||||
\(477\) | 34.6976 | − | 2.03035i | 1.58869 | − | 0.0929634i | ||||
\(478\) | 6.42927 | − | 19.7873i | 0.294068 | − | 0.905049i | ||||
\(479\) | −12.0460 | + | 37.0738i | −0.550395 | + | 1.69394i | 0.157408 | + | 0.987534i | \(0.449686\pi\) |
−0.707804 | + | 0.706409i | \(0.750314\pi\) | |||||||
\(480\) | 1.35983 | + | 0.643532i | 0.0620676 | + | 0.0293731i | ||||
\(481\) | 13.2969 | − | 18.3016i | 0.606285 | − | 0.834480i | ||||
\(482\) | −15.0932 | + | 4.90409i | −0.687478 | + | 0.223375i | ||||
\(483\) | 10.7272 | − | 5.86677i | 0.488106 | − | 0.266947i | ||||
\(484\) | 8.09392 | + | 7.44906i | 0.367905 | + | 0.338594i | ||||
\(485\) | 10.0406i | 0.455922i | ||||||||
\(486\) | −4.97925 | + | 14.7718i | −0.225863 | + | 0.670064i | ||||
\(487\) | −4.57320 | − | 3.32263i | −0.207232 | − | 0.150563i | 0.479329 | − | 0.877636i | \(-0.340880\pi\) |
−0.686560 | + | 0.727073i | \(0.740880\pi\) | |||||||
\(488\) | 6.63145 | + | 9.12741i | 0.300192 | + | 0.413178i | ||||
\(489\) | −3.92814 | − | 20.8400i | −0.177637 | − | 0.942419i | ||||
\(490\) | 0.826066 | + | 0.268405i | 0.0373179 | + | 0.0121253i | ||||
\(491\) | −26.8757 | + | 19.5264i | −1.21289 | + | 0.881213i | −0.995490 | − | 0.0948706i | \(-0.969756\pi\) |
−0.217396 | + | 0.976084i | \(0.569756\pi\) | |||||||
\(492\) | 2.94102 | + | 0.378087i | 0.132592 | + | 0.0170455i | ||||
\(493\) | −2.18399 | − | 6.72164i | −0.0983621 | − | 0.302728i | ||||
\(494\) | −3.35872 | −0.151116 | ||||||||
\(495\) | 8.21754 | − | 2.67587i | 0.369351 | − | 0.120271i | ||||
\(496\) | −8.31390 | −0.373305 | ||||||||
\(497\) | 0.326804 | + | 1.00580i | 0.0146592 | + | 0.0451163i | ||||
\(498\) | 13.3912 | + | 1.72153i | 0.600074 | + | 0.0771434i | ||||
\(499\) | −14.6221 | + | 10.6236i | −0.654576 | + | 0.475577i | −0.864827 | − | 0.502070i | \(-0.832572\pi\) |
0.210251 | + | 0.977647i | \(0.432572\pi\) | |||||||
\(500\) | 7.63745 | + | 2.48156i | 0.341557 | + | 0.110979i | ||||
\(501\) | −4.19744 | − | 22.2688i | −0.187528 | − | 0.994896i | ||||
\(502\) | −4.99985 | − | 6.88170i | −0.223154 | − | 0.307146i | ||||
\(503\) | 29.0451 | + | 21.1025i | 1.29506 | + | 0.940914i | 0.999894 | − | 0.0145334i | \(-0.00462627\pi\) |
0.295162 | + | 0.955447i | \(0.404626\pi\) | |||||||
\(504\) | 0.758798 | − | 2.90245i | 0.0337995 | − | 0.129285i | ||||
\(505\) | 10.8589i | 0.483217i | ||||||||
\(506\) | −8.50919 | + | 21.8113i | −0.378280 | + | 0.969631i | ||||
\(507\) | 11.0928 | − | 6.06672i | 0.492650 | − | 0.269433i | ||||
\(508\) | 3.23727 | − | 1.05185i | 0.143631 | − | 0.0466685i | ||||
\(509\) | −16.3147 | + | 22.4552i | −0.723135 | + | 0.995310i | 0.276279 | + | 0.961078i | \(0.410899\pi\) |
−0.999414 | + | 0.0342328i | \(0.989101\pi\) | |||||||
\(510\) | 3.51542 | + | 1.66365i | 0.155665 | + | 0.0736676i | ||||
\(511\) | −4.31235 | + | 13.2720i | −0.190767 | + | 0.587120i | ||||
\(512\) | −0.309017 | + | 0.951057i | −0.0136568 | + | 0.0420312i | ||||
\(513\) | 6.19750 | − | 3.87614i | 0.273627 | − | 0.171136i | ||||
\(514\) | −7.98604 | + | 10.9918i | −0.352249 | + | 0.484829i | ||||
\(515\) | −7.25806 | + | 2.35829i | −0.319828 | + | 0.103919i | ||||
\(516\) | −6.72826 | − | 12.3024i | −0.296195 | − | 0.541585i | ||||
\(517\) | 6.18155 | + | 23.5830i | 0.271864 | + | 1.03718i | ||||
\(518\) | − | 9.47505i | − | 0.416310i | ||||||
\(519\) | −21.7614 | − | 20.5253i | −0.955222 | − | 0.900960i | ||||
\(520\) | −1.67770 | − | 1.21892i | −0.0735722 | − | 0.0534533i | ||||
\(521\) | −21.4692 | − | 29.5498i | −0.940584 | − | 1.29460i | −0.955585 | − | 0.294715i | \(-0.904775\pi\) |
0.0150016 | − | 0.999887i | \(-0.495225\pi\) | |||||||
\(522\) | −5.20016 | − | 6.34230i | −0.227605 | − | 0.277595i | ||||
\(523\) | −4.85366 | − | 1.57705i | −0.212236 | − | 0.0689596i | 0.200969 | − | 0.979598i | \(-0.435591\pi\) |
−0.413205 | + | 0.910638i | \(0.635591\pi\) | |||||||
\(524\) | 1.87794 | − | 1.36440i | 0.0820380 | − | 0.0596041i | ||||
\(525\) | 0.937630 | − | 7.29353i | 0.0409215 | − | 0.318316i | ||||
\(526\) | 7.56534 | + | 23.2837i | 0.329865 | + | 1.01522i | ||||
\(527\) | −21.4930 | −0.936248 | ||||||||
\(528\) | 2.46063 | + | 5.19089i | 0.107085 | + | 0.225904i | ||||
\(529\) | −26.8309 | −1.16656 | ||||||||
\(530\) | −3.10964 | − | 9.57050i | −0.135074 | − | 0.415716i | ||||
\(531\) | −8.46732 | − | 21.6629i | −0.367451 | − | 0.940091i | ||||
\(532\) | −1.13811 | + | 0.826882i | −0.0493431 | + | 0.0358499i | ||||
\(533\) | −3.88734 | − | 1.26307i | −0.168380 | − | 0.0547098i | ||||
\(534\) | −7.42168 | + | 1.39891i | −0.321167 | + | 0.0605368i | ||||
\(535\) | 3.59768 | + | 4.95179i | 0.155541 | + | 0.214084i | ||||
\(536\) | 2.63035 | + | 1.91106i | 0.113614 | + | 0.0825454i | ||||
\(537\) | 3.23853 | − | 3.43357i | 0.139753 | − | 0.148170i | ||||
\(538\) | − | 3.01496i | − | 0.129984i | ||||||
\(539\) | 1.79118 | + | 2.79135i | 0.0771517 | + | 0.120232i | ||||
\(540\) | 4.50239 | + | 0.312996i | 0.193752 | + | 0.0134692i | ||||
\(541\) | −17.6485 | + | 5.73435i | −0.758769 | + | 0.246539i | −0.662750 | − | 0.748841i | \(-0.730611\pi\) |
−0.0960186 | + | 0.995380i | \(0.530611\pi\) | |||||||
\(542\) | 4.85580 | − | 6.68343i | 0.208574 | − | 0.287078i | ||||
\(543\) | 12.7762 | − | 26.9971i | 0.548280 | − | 1.15856i | ||||
\(544\) | −0.798865 | + | 2.45865i | −0.0342511 | + | 0.105414i | ||||
\(545\) | −0.367246 | + | 1.13027i | −0.0157311 | + | 0.0484153i | ||||
\(546\) | −1.76893 | + | 3.73789i | −0.0757033 | + | 0.159967i | ||||
\(547\) | −0.385909 | + | 0.531158i | −0.0165003 | + | 0.0227107i | −0.817187 | − | 0.576372i | \(-0.804468\pi\) |
0.800687 | + | 0.599083i | \(0.204468\pi\) | |||||||
\(548\) | 11.5111 | − | 3.74017i | 0.491728 | − | 0.159772i | ||||
\(549\) | 28.4976 | + | 18.2608i | 1.21625 | + | 0.779353i | ||||
\(550\) | 7.60460 | + | 11.8509i | 0.324261 | + | 0.505324i | ||||
\(551\) | 3.84594i | 0.163843i | ||||||||
\(552\) | −8.38927 | + | 8.89453i | −0.357071 | + | 0.378576i | ||||
\(553\) | −11.9415 | − | 8.67601i | −0.507804 | − | 0.368942i | ||||
\(554\) | −3.64403 | − | 5.01558i | −0.154820 | − | 0.213092i | ||||
\(555\) | 14.0078 | − | 2.64033i | 0.594597 | − | 0.112076i | ||||
\(556\) | −11.9270 | − | 3.87532i | −0.505818 | − | 0.164350i | ||||
\(557\) | 32.7072 | − | 23.7631i | 1.38585 | − | 1.00688i | 0.389540 | − | 0.921009i | \(-0.372634\pi\) |
0.996307 | − | 0.0858673i | \(-0.0273661\pi\) | |||||||
\(558\) | −23.2302 | + | 9.07993i | −0.983414 | + | 0.384384i | ||||
\(559\) | 5.97289 | + | 18.3827i | 0.252626 | + | 0.777503i | ||||
\(560\) | −0.868577 | −0.0367041 | ||||||||
\(561\) | 6.36118 | + | 13.4194i | 0.268569 | + | 0.566567i | ||||
\(562\) | −22.9286 | −0.967185 | ||||||||
\(563\) | 5.29868 | + | 16.3077i | 0.223313 | + | 0.687286i | 0.998458 | + | 0.0555038i | \(0.0176765\pi\) |
−0.775146 | + | 0.631783i | \(0.782324\pi\) | |||||||
\(564\) | −1.62340 | + | 12.6280i | −0.0683577 | + | 0.531733i | ||||
\(565\) | 3.66932 | − | 2.66592i | 0.154369 | − | 0.112156i | ||||
\(566\) | −1.06089 | − | 0.344703i | −0.0445924 | − | 0.0144890i | ||||
\(567\) | −1.04969 | − | 8.93858i | −0.0440828 | − | 0.375385i | ||||
\(568\) | −0.621619 | − | 0.855585i | −0.0260825 | − | 0.0358995i | ||||
\(569\) | −28.3434 | − | 20.5927i | −1.18822 | − | 0.863291i | −0.195144 | − | 0.980775i | \(-0.562517\pi\) |
−0.993075 | + | 0.117483i | \(0.962517\pi\) | |||||||
\(570\) | −1.53960 | − | 1.45214i | −0.0644866 | − | 0.0608235i | ||||
\(571\) | − | 38.2259i | − | 1.59970i | −0.600199 | − | 0.799851i | \(-0.704912\pi\) | ||
0.600199 | − | 0.799851i | \(-0.295088\pi\) | |||||||
\(572\) | −2.00777 | − | 7.65978i | −0.0839493 | − | 0.320272i | ||||
\(573\) | 7.88749 | + | 14.4221i | 0.329505 | + | 0.602490i | ||||
\(574\) | −1.62818 | + | 0.529029i | −0.0679591 | + | 0.0220813i | ||||
\(575\) | −17.6159 | + | 24.2462i | −0.734633 | + | 1.01114i | ||||
\(576\) | 0.175247 | + | 2.99488i | 0.00730197 | + | 0.124787i | ||||
\(577\) | −6.04713 | + | 18.6111i | −0.251745 | + | 0.774792i | 0.742708 | + | 0.669615i | \(0.233541\pi\) |
−0.994454 | + | 0.105177i | \(0.966459\pi\) | |||||||
\(578\) | 3.18808 | − | 9.81189i | 0.132606 | − | 0.408121i | ||||
\(579\) | 1.41145 | + | 0.667962i | 0.0586580 | + | 0.0277596i | ||||
\(580\) | −1.39574 | + | 1.92107i | −0.0579550 | + | 0.0797682i | ||||
\(581\) | −7.41353 | + | 2.40880i | −0.307565 | + | 0.0999339i | ||||
\(582\) | −17.5667 | + | 9.60733i | −0.728165 | + | 0.398237i | ||||
\(583\) | 13.9656 | − | 35.7975i | 0.578395 | − | 1.48258i | ||||
\(584\) | − | 13.9550i | − | 0.577464i | ||||||
\(585\) | −6.01898 | − | 1.57356i | −0.248854 | − | 0.0650588i | ||||
\(586\) | −18.4654 | − | 13.4159i | −0.762799 | − | 0.554206i | ||||
\(587\) | −14.4699 | − | 19.9161i | −0.597237 | − | 0.822026i | 0.398215 | − | 0.917292i | \(-0.369630\pi\) |
−0.995452 | + | 0.0952662i | \(0.969630\pi\) | |||||||
\(588\) | 0.320825 | + | 1.70208i | 0.0132306 | + | 0.0701925i | ||||
\(589\) | 11.1234 | + | 3.61420i | 0.458330 | + | 0.148921i | ||||
\(590\) | −5.44797 | + | 3.95818i | −0.224289 | + | 0.162956i | ||||
\(591\) | −27.6849 | − | 3.55907i | −1.13880 | − | 0.146401i | ||||
\(592\) | 2.92795 | + | 9.01131i | 0.120338 | + | 0.370362i | ||||
\(593\) | 3.72800 | 0.153091 | 0.0765453 | − | 0.997066i | \(-0.475611\pi\) | ||||
0.0765453 | + | 0.997066i | \(0.475611\pi\) | |||||||
\(594\) | 12.5445 | + | 11.8167i | 0.514708 | + | 0.484846i | ||||
\(595\) | −2.24543 | −0.0920537 | ||||||||
\(596\) | 4.39186 | + | 13.5168i | 0.179898 | + | 0.553668i | ||||
\(597\) | 4.11491 | + | 0.528997i | 0.168412 | + | 0.0216504i | ||||
\(598\) | 13.6350 | − | 9.90643i | 0.557578 | − | 0.405104i | ||||
\(599\) | −10.0553 | − | 3.26717i | −0.410849 | − | 0.133493i | 0.0962980 | − | 0.995353i | \(-0.469300\pi\) |
−0.507147 | + | 0.861860i | \(0.669300\pi\) | |||||||
\(600\) | 1.36209 | + | 7.22630i | 0.0556069 | + | 0.295012i | ||||
\(601\) | −21.3749 | − | 29.4200i | −0.871901 | − | 1.20007i | −0.978599 | − | 0.205777i | \(-0.934028\pi\) |
0.106698 | − | 0.994291i | \(-0.465972\pi\) | |||||||
\(602\) | 6.54953 | + | 4.75851i | 0.266939 | + | 0.193942i | ||||
\(603\) | 9.43673 | + | 2.46708i | 0.384293 | + | 0.100467i | ||||
\(604\) | − | 8.55105i | − | 0.347937i | ||||||
\(605\) | 1.10217 | − | 9.49056i | 0.0448094 | − | 0.385846i | ||||
\(606\) | −18.9984 | + | 10.3903i | −0.771759 | + | 0.422078i | ||||
\(607\) | 27.3432 | − | 8.88433i | 1.10983 | − | 0.360604i | 0.303949 | − | 0.952688i | \(-0.401695\pi\) |
0.805876 | + | 0.592084i | \(0.201695\pi\) | |||||||
\(608\) | 0.826882 | − | 1.13811i | 0.0335345 | − | 0.0461563i | ||||
\(609\) | 4.28011 | + | 2.02554i | 0.173439 | + | 0.0820788i | ||||
\(610\) | 3.02817 | − | 9.31976i | 0.122607 | − | 0.377346i | ||||
\(611\) | 5.42330 | − | 16.6912i | 0.219403 | − | 0.675254i | ||||
\(612\) | 0.453046 | + | 7.74230i | 0.0183133 | + | 0.312964i | ||||
\(613\) | −23.5434 | + | 32.4047i | −0.950909 | + | 1.30881i | 0.000213312 | 1.00000i | \(0.499932\pi\) | |
−0.951122 | + | 0.308814i | \(0.900068\pi\) | |||||||
\(614\) | 23.0705 | − | 7.49607i | 0.931051 | − | 0.302517i | ||||
\(615\) | −1.23582 | − | 2.25967i | −0.0498331 | − | 0.0911185i | ||||
\(616\) | −2.56609 | − | 2.10123i | −0.103391 | − | 0.0846610i | ||||
\(617\) | − | 35.0792i | − | 1.41224i | −0.708094 | − | 0.706118i | \(-0.750445\pi\) | ||
0.708094 | − | 0.706118i | \(-0.249555\pi\) | |||||||
\(618\) | −11.0708 | − | 10.4419i | −0.445334 | − | 0.420036i | ||||
\(619\) | −15.9766 | − | 11.6077i | −0.642153 | − | 0.466551i | 0.218436 | − | 0.975851i | \(-0.429904\pi\) |
−0.860589 | + | 0.509300i | \(0.829904\pi\) | |||||||
\(620\) | 4.24455 | + | 5.84213i | 0.170465 | + | 0.234625i | ||||
\(621\) | −13.7268 | + | 34.0148i | −0.550837 | + | 1.36497i | ||||
\(622\) | −23.0394 | − | 7.48596i | −0.923797 | − | 0.300160i | ||||
\(623\) | 3.52761 | − | 2.56296i | 0.141331 | − | 0.102683i | ||||
\(624\) | 0.527284 | − | 4.10157i | 0.0211082 | − | 0.164194i | ||||
\(625\) | 4.40435 | + | 13.5552i | 0.176174 | + | 0.542207i | ||||
\(626\) | −19.2630 | −0.769903 | ||||||||
\(627\) | −1.03557 | − | 8.01469i | −0.0413565 | − | 0.320076i | ||||
\(628\) | 8.94321 | 0.356873 | ||||||||
\(629\) | 7.56929 | + | 23.2959i | 0.301807 | + | 0.928867i | ||||
\(630\) | −2.42693 | + | 0.948606i | −0.0966912 | + | 0.0377934i | ||||
\(631\) | −34.2584 | + | 24.8902i | −1.36380 | + | 0.990862i | −0.365612 | + | 0.930768i | \(0.619140\pi\) |
−0.998193 | + | 0.0600943i | \(0.980860\pi\) | |||||||
\(632\) | 14.0381 | + | 4.56125i | 0.558405 | + | 0.181437i | ||||
\(633\) | 1.97780 | − | 0.372796i | 0.0786105 | − | 0.0148173i | ||||
\(634\) | 5.69970 | + | 7.84496i | 0.226364 | + | 0.311563i | ||||
\(635\) | −2.39188 | − | 1.73780i | −0.0949188 | − | 0.0689626i | ||||
\(636\) | 13.7688 | − | 14.5980i | 0.545967 | − | 0.578849i | ||||
\(637\) | − | 2.38753i | − | 0.0945975i | ||||||
\(638\) | −8.77092 | + | 2.29902i | −0.347244 | + | 0.0910192i | ||||
\(639\) | −2.67131 | − | 1.71173i | −0.105675 | − | 0.0677151i | ||||
\(640\) | 0.826066 | − | 0.268405i | 0.0326531 | − | 0.0106096i | ||||
\(641\) | 19.3858 | − | 26.6822i | 0.765692 | − | 1.05389i | −0.231027 | − | 0.972947i | \(-0.574209\pi\) |
0.996719 | − | 0.0809377i | \(-0.0257915\pi\) | |||||||
\(642\) | −5.22105 | + | 11.0325i | −0.206058 | + | 0.435417i | ||||
\(643\) | 8.72192 | − | 26.8433i | 0.343959 | − | 1.05860i | −0.618180 | − | 0.786037i | \(-0.712130\pi\) |
0.962139 | − | 0.272560i | \(-0.0878704\pi\) | |||||||
\(644\) | 2.18138 | − | 6.71360i | 0.0859585 | − | 0.264553i | ||||
\(645\) | −5.20982 | + | 11.0087i | −0.205137 | + | 0.433469i | ||||
\(646\) | 2.13764 | − | 2.94221i | 0.0841044 | − | 0.115760i | ||||
\(647\) | 15.8981 | − | 5.16561i | 0.625020 | − | 0.203081i | 0.0206520 | − | 0.999787i | \(-0.493426\pi\) |
0.604368 | + | 0.796706i | \(0.293426\pi\) | |||||||
\(648\) | 3.76048 | + | 8.17672i | 0.147726 | + | 0.321212i | ||||
\(649\) | −25.6708 | − | 1.48562i | −1.00767 | − | 0.0583156i | ||||
\(650\) | − | 10.1364i | − | 0.397584i | ||||||
\(651\) | 9.88053 | − | 10.4756i | 0.387248 | − | 0.410571i | ||||
\(652\) | −9.90550 | − | 7.19677i | −0.387929 | − | 0.281847i | ||||
\(653\) | 22.8632 | + | 31.4685i | 0.894707 | + | 1.23146i | 0.972126 | + | 0.234460i | \(0.0753323\pi\) |
−0.0774182 | + | 0.996999i | \(0.524668\pi\) | |||||||
\(654\) | −2.32887 | + | 0.438969i | −0.0910661 | + | 0.0171651i | ||||
\(655\) | −1.91751 | − | 0.623037i | −0.0749234 | − | 0.0243441i | ||||
\(656\) | 1.38502 | − | 1.00627i | 0.0540758 | − | 0.0392884i | ||||
\(657\) | −15.2408 | − | 38.9924i | −0.594602 | − | 1.52124i | ||||
\(658\) | −2.27151 | − | 6.99098i | −0.0885526 | − | 0.272537i | ||||
\(659\) | −13.1507 | −0.512277 | −0.256138 | − | 0.966640i | \(-0.582450\pi\) | ||||
−0.256138 | + | 0.966640i | \(0.582450\pi\) | |||||||
\(660\) | 2.39136 | − | 4.37921i | 0.0930835 | − | 0.170460i | ||||
\(661\) | 21.8589 | 0.850214 | 0.425107 | − | 0.905143i | \(-0.360237\pi\) | ||||
0.425107 | + | 0.905143i | \(0.360237\pi\) | |||||||
\(662\) | −7.91955 | − | 24.3739i | −0.307802 | − | 0.947318i | ||||
\(663\) | 1.36312 | − | 10.6033i | 0.0529394 | − | 0.411799i | ||||
\(664\) | 6.30632 | − | 4.58181i | 0.244733 | − | 0.177809i | ||||
\(665\) | 1.16209 | + | 0.377586i | 0.0450639 | + | 0.0146422i | ||||
\(666\) | 18.0227 | + | 21.9811i | 0.698365 | + | 0.851752i | ||||
\(667\) | −11.3435 | − | 15.6129i | −0.439221 | − | 0.604535i | ||||
\(668\) | −10.5846 | − | 7.69016i | −0.409530 | − | 0.297541i | ||||
\(669\) | 25.4553 | + | 24.0093i | 0.984157 | + | 0.928252i | ||||
\(670\) | − | 2.82400i | − | 0.109101i | ||||||
\(671\) | 31.4923 | − | 20.2083i | 1.21575 | − | 0.780133i | ||||
\(672\) | −0.831094 | − | 1.51963i | −0.0320601 | − | 0.0586211i | ||||
\(673\) | −13.5961 | + | 4.41763i | −0.524090 | + | 0.170287i | −0.559101 | − | 0.829100i | \(-0.688853\pi\) |
0.0350107 | + | 0.999387i | \(0.488853\pi\) | |||||||
\(674\) | 11.0189 | − | 15.1662i | 0.424431 | − | 0.584180i | ||||
\(675\) | 11.6980 | + | 18.7037i | 0.450255 | + | 0.719907i | ||||
\(676\) | 2.25573 | − | 6.94241i | 0.0867587 | − | 0.267016i | ||||
\(677\) | 12.3344 | − | 37.9614i | 0.474050 | − | 1.45898i | −0.373185 | − | 0.927757i | \(-0.621734\pi\) |
0.847235 | − | 0.531218i | \(-0.178266\pi\) | |||||||
\(678\) | 8.17516 | + | 3.86884i | 0.313965 | + | 0.148582i | ||||
\(679\) | 6.79472 | − | 9.35213i | 0.260757 | − | 0.358902i | ||||
\(680\) | 2.13553 | − | 0.693876i | 0.0818939 | − | 0.0266089i | ||||
\(681\) | 16.2177 | − | 8.86953i | 0.621463 | − | 0.339881i | ||||
\(682\) | −1.59310 | + | 27.5280i | −0.0610030 | + | 1.05410i | ||||
\(683\) | 48.8360i | 1.86866i | 0.356411 | + | 0.934329i | \(0.384000\pi\) | ||||
−0.356411 | + | 0.934329i | \(0.616000\pi\) | |||||||
\(684\) | 1.06746 | − | 4.08310i | 0.0408153 | − | 0.156121i | ||||
\(685\) | −8.50501 | − | 6.17925i | −0.324960 | − | 0.236097i | ||||
\(686\) | −0.587785 | − | 0.809017i | −0.0224417 | − | 0.0308884i | ||||
\(687\) | −0.508306 | − | 2.69673i | −0.0193931 | − | 0.102886i | ||||
\(688\) | −7.69943 | − | 2.50170i | −0.293538 | − | 0.0953763i | ||||
\(689\) | −22.3783 | + | 16.2588i | −0.852545 | + | 0.619410i | ||||
\(690\) | 10.5332 | + | 1.35411i | 0.400991 | + | 0.0515499i | ||||
\(691\) | −8.48432 | − | 26.1120i | −0.322759 | − | 0.993349i | −0.972442 | − | 0.233144i | \(-0.925099\pi\) |
0.649683 | − | 0.760205i | \(-0.274901\pi\) | |||||||
\(692\) | −17.2709 | −0.656540 | ||||||||
\(693\) | −9.46486 | − | 3.06861i | −0.359540 | − | 0.116567i | ||||
\(694\) | 0.551228 | 0.0209243 | ||||||||
\(695\) | 3.36601 | + | 10.3595i | 0.127680 | + | 0.392959i | ||||
\(696\) | −4.69655 | − | 0.603772i | −0.178022 | − | 0.0228859i | ||||
\(697\) | 3.58052 | − | 2.60140i | 0.135622 | − | 0.0985351i | ||||
\(698\) | 10.5046 | + | 3.41316i | 0.397606 | + | 0.129190i | ||||
\(699\) | −3.27732 | − | 17.3872i | −0.123960 | − | 0.657645i | ||||
\(700\) | −2.49549 | − | 3.43474i | −0.0943205 | − | 0.129821i | ||||
\(701\) | −29.0205 | − | 21.0846i | −1.09609 | − | 0.796355i | −0.115671 | − | 0.993288i | \(-0.536902\pi\) |
−0.980417 | + | 0.196933i | \(0.936902\pi\) | |||||||
\(702\) | −3.00618 | − | 12.0363i | −0.113461 | − | 0.454279i | ||||
\(703\) | − | 13.3293i | − | 0.502723i | ||||||
\(704\) | 3.08982 | + | 1.20542i | 0.116452 | + | 0.0454310i | ||||
\(705\) | 9.70239 | − | 5.30628i | 0.365413 | − | 0.199846i | ||||
\(706\) | −18.8110 | + | 6.11207i | −0.707962 | + | 0.230031i | ||||
\(707\) | 7.34849 | − | 10.1143i | 0.276368 | − | 0.380388i | ||||
\(708\) | −12.1380 | − | 5.74421i | −0.456172 | − | 0.215881i | ||||
\(709\) | 13.4780 | − | 41.4810i | 0.506177 | − | 1.55785i | −0.292606 | − | 0.956233i | \(-0.594522\pi\) |
0.798783 | − | 0.601619i | \(-0.205478\pi\) | |||||||
\(710\) | −0.283855 | + | 0.873615i | −0.0106529 | + | 0.0327862i | ||||
\(711\) | 44.2059 | − | 2.58674i | 1.65785 | − | 0.0970103i | ||||
\(712\) | −2.56296 | + | 3.52761i | −0.0960508 | + | 0.132203i | ||||
\(713\) | −55.8162 | + | 18.1358i | −2.09033 | + | 0.679191i | ||||
\(714\) | −2.14853 | − | 3.92853i | −0.0804067 | − | 0.147021i | ||||
\(715\) | −4.35744 | + | 5.32145i | −0.162959 | + | 0.199011i | ||||
\(716\) | − | 2.72504i | − | 0.101839i | ||||||
\(717\) | −26.2152 | − | 24.7260i | −0.979025 | − | 0.923411i | ||||
\(718\) | −7.99645 | − | 5.80976i | −0.298425 | − | 0.216818i | ||||
\(719\) | 8.77972 | + | 12.0843i | 0.327428 | + | 0.450667i | 0.940717 | − | 0.339192i | \(-0.110154\pi\) |
−0.613289 | + | 0.789859i | \(0.710154\pi\) | |||||||
\(720\) | 2.01501 | − | 1.65214i | 0.0750950 | − | 0.0615716i | ||||
\(721\) | 8.35627 | + | 2.71512i | 0.311204 | + | 0.101116i | ||||
\(722\) | 13.7703 | − | 10.0047i | 0.512476 | − | 0.372336i | ||||
\(723\) | −3.50486 | + | 27.2632i | −0.130347 | + | 1.01393i | ||||
\(724\) | −5.32872 | − | 16.4001i | −0.198040 | − | 0.609505i | ||||
\(725\) | −11.6068 | −0.431068 | ||||||||
\(726\) | 17.6590 | − | 7.15269i | 0.655386 | − | 0.265461i | ||||
\(727\) | −19.9614 | −0.740327 | −0.370163 | − | 0.928967i | \(-0.620698\pi\) | ||||
−0.370163 | + | 0.928967i | \(0.620698\pi\) | |||||||
\(728\) | 0.737788 | + | 2.27068i | 0.0273443 | + | 0.0841570i | ||||
\(729\) | 19.4374 | + | 18.7400i | 0.719905 | + | 0.694072i | ||||
\(730\) | −9.80612 | + | 7.12456i | −0.362941 | + | 0.263692i | ||||
\(731\) | −19.9044 | − | 6.46735i | −0.736192 | − | 0.239203i | ||||
\(732\) | 19.2030 | − | 3.61958i | 0.709764 | − | 0.133783i | ||||
\(733\) | −12.7126 | − | 17.4974i | −0.469551 | − | 0.646282i | 0.506904 | − | 0.862003i | \(-0.330790\pi\) |
−0.976455 | + | 0.215721i | \(0.930790\pi\) | |||||||
\(734\) | −19.3727 | − | 14.0751i | −0.715059 | − | 0.519521i | ||||
\(735\) | 1.03225 | − | 1.09442i | 0.0380750 | − | 0.0403681i | ||||
\(736\) | 7.05910i | 0.260202i | ||||||||
\(737\) | 6.83172 | − | 8.34313i | 0.251650 | − | 0.307323i | ||||
\(738\) | 2.77094 | − | 4.32430i | 0.102000 | − | 0.159180i | ||||
\(739\) | 12.0995 | − | 3.93136i | 0.445086 | − | 0.144617i | −0.0778949 | − | 0.996962i | \(-0.524820\pi\) |
0.522981 | + | 0.852344i | \(0.324820\pi\) | |||||||
\(740\) | 4.83736 | − | 6.65806i | 0.177825 | − | 0.244755i | ||||
\(741\) | −2.48849 | + | 5.25837i | −0.0914171 | + | 0.193171i | ||||
\(742\) | −3.58016 | + | 11.0186i | −0.131432 | + | 0.404505i | ||||
\(743\) | −9.87887 | + | 30.4040i | −0.362421 | + | 1.11542i | 0.589160 | + | 0.808016i | \(0.299459\pi\) |
−0.951581 | + | 0.307399i | \(0.900541\pi\) | |||||||
\(744\) | −6.15980 | + | 13.0161i | −0.225829 | + | 0.477195i | ||||
\(745\) | 7.25593 | − | 9.98693i | 0.265837 | − | 0.365893i | ||||
\(746\) | 6.63478 | − | 2.15577i | 0.242916 | − | 0.0789283i | ||||
\(747\) | 12.6168 | − | 19.6896i | 0.461624 | − | 0.720405i | ||||
\(748\) | 7.98774 | + | 3.11624i | 0.292061 | + | 0.113941i | ||||
\(749\) | − | 7.04686i | − | 0.257487i | ||||||
\(750\) | 9.54372 | − | 10.1185i | 0.348487 | − | 0.369475i | ||||
\(751\) | −17.0527 | − | 12.3895i | −0.622263 | − | 0.452101i | 0.231448 | − | 0.972847i | \(-0.425654\pi\) |
−0.853711 | + | 0.520747i | \(0.825654\pi\) | |||||||
\(752\) | 4.32066 | + | 5.94688i | 0.157558 | + | 0.216861i | ||||
\(753\) | −14.4783 | + | 2.72902i | −0.527619 | + | 0.0994509i | ||||
\(754\) | 6.20774 | + | 2.01702i | 0.226073 | + | 0.0734554i | ||||
\(755\) | −6.00877 | + | 4.36562i | −0.218681 | + | 0.158881i | ||||
\(756\) | −3.98184 | − | 3.33840i | −0.144818 | − | 0.121416i | ||||
\(757\) | 4.50990 | + | 13.8800i | 0.163915 | + | 0.504478i | 0.998955 | − | 0.0457113i | \(-0.0145554\pi\) |
−0.835040 | + | 0.550190i | \(0.814555\pi\) | |||||||
\(758\) | 34.4276 | 1.25047 | ||||||||
\(759\) | 27.8430 | + | 29.4820i | 1.01064 | + | 1.07013i | ||||
\(760\) | −1.22189 | −0.0443227 | ||||||||
\(761\) | 5.35178 | + | 16.4711i | 0.194002 | + | 0.597077i | 0.999987 | + | 0.00514046i | \(0.00163626\pi\) |
−0.805985 | + | 0.591936i | \(0.798364\pi\) | |||||||
\(762\) | 0.751741 | − | 5.84756i | 0.0272327 | − | 0.211835i | ||||
\(763\) | 1.10694 | − | 0.804239i | 0.0400739 | − | 0.0291154i | ||||
\(764\) | 9.02600 | + | 2.93272i | 0.326549 | + | 0.106102i | ||||
\(765\) | 5.20917 | − | 4.27108i | 0.188338 | − | 0.154421i | ||||
\(766\) | 1.37735 | + | 1.89577i | 0.0497658 | + | 0.0684968i | ||||
\(767\) | 14.9753 | + | 10.8802i | 0.540727 | + | 0.392861i | ||||
\(768\) | 1.26001 | + | 1.18843i | 0.0454667 | + | 0.0428839i | ||||
\(769\) | − | 34.3601i | − | 1.23906i | −0.784974 | − | 0.619528i | \(-0.787324\pi\) | ||
0.784974 | − | 0.619528i | \(-0.212676\pi\) | |||||||
\(770\) | −0.166436 | + | 2.87593i | −0.00599793 | + | 0.103641i | ||||
\(771\) | 11.2918 | + | 20.6467i | 0.406664 | + | 0.743574i | ||||
\(772\) | 0.857425 | − | 0.278594i | 0.0308594 | − | 0.0100268i | ||||
\(773\) | 11.8736 | − | 16.3426i | 0.427065 | − | 0.587804i | −0.540212 | − | 0.841529i | \(-0.681656\pi\) |
0.967276 | + | 0.253725i | \(0.0816558\pi\) | |||||||
\(774\) | −24.2455 | + | 1.41874i | −0.871487 | + | 0.0509957i | ||||
\(775\) | −10.9075 | + | 33.5697i | −0.391808 | + | 1.20586i | ||||
\(776\) | −3.57219 | + | 10.9941i | −0.128234 | + | 0.394665i | ||||
\(777\) | −14.8340 | − | 7.02010i | −0.532167 | − | 0.251845i | ||||
\(778\) | 6.08479 | − | 8.37499i | 0.218150 | − | 0.300258i | ||||
\(779\) | −2.29049 | + | 0.744226i | −0.0820654 | + | 0.0266647i | ||||
\(780\) | −3.15135 | + | 1.72349i | −0.112836 | + | 0.0617107i | ||||
\(781\) | −2.95203 | + | 1.89429i | −0.105632 | + | 0.0677829i | ||||
\(782\) | 18.2491i | 0.652585i | ||||||||
\(783\) | −13.7822 | + | 3.44226i | −0.492537 | + | 0.123016i | ||||
\(784\) | 0.809017 | + | 0.587785i | 0.0288935 | + | 0.0209923i | ||||
\(785\) | −4.56584 | − | 6.28434i | −0.162962 | − | 0.224298i | ||||
\(786\) | −0.744717 | − | 3.95096i | −0.0265632 | − | 0.140926i | ||||
\(787\) | −31.8682 | − | 10.3546i | −1.13598 | − | 0.369102i | −0.320134 | − | 0.947372i | \(-0.603728\pi\) |
−0.815845 | + | 0.578270i | \(0.803728\pi\) | |||||||
\(788\) | −13.0376 | + | 9.47240i | −0.464447 | + | 0.337440i | ||||
\(789\) | 42.0579 | + | 5.40681i | 1.49730 | + | 0.192487i | ||||
\(790\) | −3.96180 | − | 12.1932i | −0.140954 | − | 0.433813i | ||||
\(791\) | −5.22179 | −0.185665 | ||||||||
\(792\) | 9.94987 | − | 0.00638338i | 0.353553 | − | 0.000226824i | ||||
\(793\) | −26.9364 | −0.956539 | ||||||||
\(794\) | 6.65504 | + | 20.4821i | 0.236179 | + | 0.726883i | ||||
\(795\) | −17.2874 | − | 2.22240i | −0.613121 | − | 0.0788206i | ||||
\(796\) | 1.93783 | − | 1.40792i | 0.0686847 | − | 0.0499023i | ||||
\(797\) | 34.8848 | + | 11.3348i | 1.23568 | + | 0.401498i | 0.852770 | − | 0.522287i | \(-0.174921\pi\) |
0.382913 | + | 0.923784i | \(0.374921\pi\) | |||||||
\(798\) | 0.451329 | + | 2.39444i | 0.0159769 | + | 0.0847624i | ||||
\(799\) | 11.1697 | + | 15.3738i | 0.395156 | + | 0.543885i | ||||
\(800\) | 3.43474 | + | 2.49549i | 0.121436 | + | 0.0882287i | ||||
\(801\) | −3.30863 | + | 12.6557i | −0.116905 | + | 0.447168i | ||||
\(802\) | − | 6.14345i | − | 0.216933i | ||||||
\(803\) | −46.2063 | − | 2.67405i | −1.63059 | − | 0.0943652i | ||||
\(804\) | 4.94078 | − | 2.70213i | 0.174248 | − | 0.0952969i | ||||
\(805\) | −5.83128 | + | 1.89470i | −0.205526 | + | 0.0667793i | ||||
\(806\) | 11.6674 | − | 16.0588i | 0.410966 | − | 0.565646i | ||||
\(807\) | −4.72019 | − | 2.23380i | −0.166158 | − | 0.0786334i | ||||
\(808\) | −3.86333 | + | 11.8901i | −0.135911 | + | 0.418292i | ||||
\(809\) | −9.69613 | + | 29.8416i | −0.340898 | + | 1.04918i | 0.622846 | + | 0.782345i | \(0.285976\pi\) |
−0.963743 | + | 0.266831i | \(0.914024\pi\) | |||||||
\(810\) | 3.82586 | − | 6.81699i | 0.134427 | − | 0.239524i | ||||
\(811\) | 14.8086 | − | 20.3822i | 0.519999 | − | 0.715717i | −0.465567 | − | 0.885013i | \(-0.654149\pi\) |
0.985565 | + | 0.169296i | \(0.0541494\pi\) | |||||||
\(812\) | 2.60007 | − | 0.844812i | 0.0912444 | − | 0.0296471i | ||||
\(813\) | −6.86581 | − | 12.5540i | −0.240795 | − | 0.440286i | ||||
\(814\) | 30.3982 | − | 7.96796i | 1.06546 | − | 0.279277i | ||||
\(815\) | 10.6348i | 0.372519i | ||||||||
\(816\) | 3.25735 | + | 3.07232i | 0.114030 | + | 0.107553i | ||||
\(817\) | 9.21372 | + | 6.69416i | 0.322347 | + | 0.234199i | ||||
\(818\) | −16.7926 | − | 23.1130i | −0.587140 | − | 0.808129i | ||||
\(819\) | 4.54138 | + | 5.53883i | 0.158689 | + | 0.193543i | ||||
\(820\) | −1.41420 | − | 0.459503i | −0.0493861 | − | 0.0160465i | ||||
\(821\) | 13.4292 | − | 9.75686i | 0.468681 | − | 0.340517i | −0.328246 | − | 0.944592i | \(-0.606458\pi\) |
0.796927 | + | 0.604076i | \(0.206458\pi\) | |||||||
\(822\) | 2.67303 | − | 20.7927i | 0.0932326 | − | 0.725227i | ||||
\(823\) | 3.83254 | + | 11.7953i | 0.133594 | + | 0.411160i | 0.995369 | − | 0.0961313i | \(-0.0306469\pi\) |
−0.861775 | + | 0.507291i | \(0.830647\pi\) | |||||||
\(824\) | −8.78630 | −0.306085 | ||||||||
\(825\) | 24.1879 | − | 3.12528i | 0.842114 | − | 0.108808i | ||||
\(826\) | 7.75298 | 0.269761 | ||||||||
\(827\) | 11.3513 | + | 34.9357i | 0.394723 | + | 1.21483i | 0.929177 | + | 0.369635i | \(0.120517\pi\) |
−0.534454 | + | 0.845197i | \(0.679483\pi\) | |||||||
\(828\) | 7.70951 | + | 19.7241i | 0.267924 | + | 0.685461i | ||||
\(829\) | 3.15977 | − | 2.29571i | 0.109743 | − | 0.0797332i | −0.531560 | − | 0.847021i | \(-0.678394\pi\) |
0.641303 | + | 0.767287i | \(0.278394\pi\) | |||||||
\(830\) | −6.43922 | − | 2.09223i | −0.223509 | − | 0.0726223i | ||||
\(831\) | −10.5522 | + | 1.98899i | −0.366052 | + | 0.0689972i | ||||
\(832\) | −1.40336 | − | 1.93155i | −0.0486526 | − | 0.0669646i | ||||
\(833\) | 2.09146 | + | 1.51953i | 0.0724647 | + | 0.0526487i | ||||
\(834\) | −14.9039 | + | 15.8015i | −0.516080 | + | 0.547162i | ||||
\(835\) | 11.3638i | 0.393262i | ||||||||
\(836\) | −3.60992 | − | 2.95596i | −0.124852 | − | 0.102234i | ||||
\(837\) | −2.99596 | + | 43.0963i | −0.103555 | + | 1.48963i | ||||
\(838\) | −13.3762 | + | 4.34620i | −0.462074 | + | 0.150137i | ||||
\(839\) | −7.51313 | + | 10.3409i | −0.259382 | + | 0.357009i | −0.918769 | − | 0.394795i | \(-0.870816\pi\) |
0.659387 | + | 0.751803i | \(0.270816\pi\) | |||||||
\(840\) | −0.643532 | + | 1.35983i | −0.0222040 | + | 0.0469187i | ||||
\(841\) | −6.65189 | + | 20.4724i | −0.229375 | + | 0.705945i | ||||
\(842\) | 11.9579 | − | 36.8025i | 0.412095 | − | 1.26830i | ||||
\(843\) | −16.9879 | + | 35.8967i | −0.585094 | + | 1.23635i | ||||
\(844\) | 0.683001 | − | 0.940071i | 0.0235099 | − | 0.0323586i | ||||
\(845\) | −6.03002 | + | 1.95927i | −0.207439 | + | 0.0674010i | ||||
\(846\) | 18.5674 | + | 11.8977i | 0.638359 | + | 0.409051i | ||||
\(847\) | −7.44906 | + | 8.09392i | −0.255953 | + | 0.278110i | ||||
\(848\) | − | 11.5856i | − | 0.397852i | ||||||
\(849\) | −1.32568 | + | 1.40552i | −0.0454972 | + | 0.0482373i | ||||
\(850\) | 8.87943 | + | 6.45129i | 0.304562 | + | 0.221277i | ||||
\(851\) | 39.3142 | + | 54.1113i | 1.34767 | + | 1.85491i | ||||
\(852\) | −1.80005 | + | 0.339292i | −0.0616688 | + | 0.0116239i | ||||
\(853\) | −28.6593 | − | 9.31196i | −0.981275 | − | 0.318836i | −0.225916 | − | 0.974147i | \(-0.572537\pi\) |
−0.755359 | + | 0.655311i | \(0.772537\pi\) | |||||||
\(854\) | −9.12741 | + | 6.63145i | −0.312333 | + | 0.226924i | ||||
\(855\) | −3.41415 | + | 1.33448i | −0.116761 | + | 0.0456381i | ||||
\(856\) | 2.17760 | + | 6.70196i | 0.0744288 | + | 0.229068i | ||||
\(857\) | −14.2634 | −0.487228 | −0.243614 | − | 0.969872i | \(-0.578333\pi\) | ||||
−0.243614 | + | 0.969872i | \(0.578333\pi\) | |||||||
\(858\) | −13.4796 | − | 2.53182i | −0.460187 | − | 0.0864349i | ||||
\(859\) | −14.6371 | −0.499411 | −0.249705 | − | 0.968322i | \(-0.580334\pi\) | ||||
−0.249705 | + | 0.968322i | \(0.580334\pi\) | |||||||
\(860\) | 2.17292 | + | 6.68755i | 0.0740959 | + | 0.228044i | ||||
\(861\) | −0.378087 | + | 2.94102i | −0.0128852 | + | 0.100230i | ||||
\(862\) | 1.50528 | − | 1.09365i | 0.0512699 | − | 0.0372498i | ||||
\(863\) | 12.0457 | + | 3.91388i | 0.410040 | + | 0.133230i | 0.506771 | − | 0.862081i | \(-0.330839\pi\) |
−0.0967316 | + | 0.995310i | \(0.530839\pi\) | |||||||
\(864\) | 4.81858 | + | 1.94455i | 0.163931 | + | 0.0661550i | ||||
\(865\) | 8.81741 | + | 12.1361i | 0.299801 | + | 0.412641i | ||||
\(866\) | −31.9942 | − | 23.2452i | −1.08721 | − | 0.789903i | ||||
\(867\) | −12.9993 | − | 12.2609i | −0.441480 | − | 0.416401i | ||||
\(868\) | − | 8.31390i | − | 0.282192i | ||||||
\(869\) | 17.7926 | − | 45.6073i | 0.603574 | − | 1.54712i | ||||
\(870\) | 1.97350 | + | 3.60848i | 0.0669078 | + | 0.122339i | ||||
\(871\) | −7.38265 | + | 2.39877i | −0.250152 | + | 0.0812792i | ||||
\(872\) | −0.804239 | + | 1.10694i | −0.0272350 | + | 0.0374857i | ||||
\(873\) | 2.02583 | + | 34.6204i | 0.0685641 | + | 1.17172i | ||||
\(874\) | 3.06871 | − | 9.44453i | 0.103801 | − | 0.319466i | ||||
\(875\) | −2.48156 | + | 7.63745i | −0.0838920 | + | 0.258193i | ||||
\(876\) | −21.8478 | − | 10.3393i | −0.738170 | − | 0.349334i | ||||
\(877\) | 24.0016 | − | 33.0354i | 0.810477 | − | 1.11553i | −0.180773 | − | 0.983525i | \(-0.557860\pi\) |
0.991250 | − | 0.132001i | \(-0.0421401\pi\) | |||||||
\(878\) | −1.31082 | + | 0.425912i | −0.0442381 | + | 0.0143738i | ||||
\(879\) | −34.6848 | + | 18.9693i | −1.16989 | + | 0.639818i | ||||
\(880\) | −0.730422 | − | 2.78661i | −0.0246225 | − | 0.0939365i | ||||
\(881\) | − | 37.5887i | − | 1.26639i | −0.773991 | − | 0.633197i | \(-0.781742\pi\) | ||
0.773991 | − | 0.633197i | \(-0.218258\pi\) | |||||||
\(882\) | 2.90245 | + | 0.758798i | 0.0977306 | + | 0.0255501i | ||||
\(883\) | −2.76929 | − | 2.01201i | −0.0931942 | − | 0.0677095i | 0.540212 | − | 0.841529i | \(-0.318344\pi\) |
−0.633407 | + | 0.773819i | \(0.718344\pi\) | |||||||
\(884\) | −3.62793 | − | 4.99342i | −0.122021 | − | 0.167947i | ||||
\(885\) | 2.16045 | + | 11.4619i | 0.0726229 | + | 0.385288i | ||||
\(886\) | −30.9699 | − | 10.0627i | −1.04046 | − | 0.338064i | ||||
\(887\) | 42.6860 | − | 31.0132i | 1.43325 | − | 1.04132i | 0.443856 | − | 0.896098i | \(-0.353610\pi\) |
0.989399 | − | 0.145222i | \(-0.0463897\pi\) | |||||||
\(888\) | 16.2773 | + | 2.09255i | 0.546231 | + | 0.0702214i | ||||
\(889\) | 1.05185 | + | 3.23727i | 0.0352781 | + | 0.108575i | ||||
\(890\) | 3.78731 | 0.126951 | ||||||||
\(891\) | 27.7944 | − | 10.8845i | 0.931147 | − | 0.364643i | ||||
\(892\) | 20.2024 | 0.676427 | ||||||||
\(893\) | −3.19550 | − | 9.83475i | −0.106933 | − | 0.329107i | ||||
\(894\) | 24.4156 | + | 3.13878i | 0.816580 | + | 0.104977i | ||||
\(895\) | −1.91487 | + | 1.39123i | −0.0640069 | + | 0.0465037i | ||||
\(896\) | −0.951057 | − | 0.309017i | −0.0317726 | − | 0.0103235i | ||||
\(897\) | −5.40713 | − | 28.6865i | −0.180539 | − | 0.957816i | ||||
\(898\) | 16.0406 | + | 22.0779i | 0.535280 | + | 0.736750i | ||||
\(899\) | −18.3883 | − | 13.3598i | −0.613283 | − | 0.445576i | ||||
\(900\) | 12.3226 | + | 3.22153i | 0.410752 | + | 0.107384i | ||||
\(901\) | − | 29.9510i | − | 0.997812i | ||||||
\(902\) | −3.06646 | − | 4.77873i | −0.102102 | − | 0.159114i | ||||
\(903\) | 12.3024 | − | 6.72826i | 0.409399 | − | 0.223902i | ||||
\(904\) | 4.96622 | − | 1.61362i | 0.165174 | − | 0.0536683i | ||||
\(905\) | −8.80375 | + | 12.1173i | −0.292646 | + | 0.402793i | ||||
\(906\) | −13.3874 | − | 6.33550i | −0.444767 | − | 0.210483i | ||||
\(907\) | −13.7169 | + | 42.2162i | −0.455461 | + | 1.40177i | 0.415132 | + | 0.909761i | \(0.363735\pi\) |
−0.870593 | + | 0.492004i | \(0.836265\pi\) | |||||||
\(908\) | 3.29786 | − | 10.1498i | 0.109443 | − | 0.336832i | ||||
\(909\) | 2.19094 | + | 37.4419i | 0.0726689 | + | 1.24187i | ||||
\(910\) | 1.21892 | − | 1.67770i | 0.0404069 | − | 0.0556154i | ||||
\(911\) | −44.4912 | + | 14.4561i | −1.47406 | + | 0.478951i | −0.932332 | − | 0.361602i | \(-0.882230\pi\) |
−0.541728 | + | 0.840554i | \(0.682230\pi\) | |||||||
\(912\) | −1.16916 | − | 2.13778i | −0.0387148 | − | 0.0707891i | ||||
\(913\) | −13.9624 | − | 21.7587i | −0.462086 | − | 0.720109i | ||||
\(914\) | 9.23671i | 0.305523i | ||||||||
\(915\) | −12.3473 | − | 11.6459i | −0.408189 | − | 0.385002i | ||||
\(916\) | −1.28178 | − | 0.931270i | −0.0423513 | − | 0.0307700i | ||||
\(917\) | 1.36440 | + | 1.87794i | 0.0450565 | + | 0.0620149i | ||||
\(918\) | 12.4569 | + | 5.02702i | 0.411139 | + | 0.165916i | ||||
\(919\) | 26.9250 | + | 8.74845i | 0.888172 | + | 0.288585i | 0.717346 | − | 0.696717i | \(-0.245356\pi\) |
0.170826 | + | 0.985301i | \(0.445356\pi\) | |||||||
\(920\) | 4.96038 | − | 3.60393i | 0.163539 | − | 0.118818i | ||||
\(921\) | 5.35730 | − | 41.6728i | 0.176529 | − | 1.37317i | ||||
\(922\) | −10.1520 | − | 31.2448i | −0.334340 | − | 1.02899i | ||||
\(923\) | 2.52496 | 0.0831101 | ||||||||
\(924\) | −5.19089 | + | 2.46063i | −0.170768 | + | 0.0809488i | ||||
\(925\) | 40.2270 | 1.32266 | ||||||||
\(926\) | 0.250493 | + | 0.770940i | 0.00823173 | + | 0.0253347i | ||||
\(927\) | −24.5502 | + | 9.59585i | −0.806334 | + | 0.315169i | ||||
\(928\) | −2.21175 | + | 1.60693i | −0.0726042 | + | 0.0527500i | ||||
\(929\) | −15.2962 | − | 4.97003i | −0.501851 | − | 0.163061i | 0.0471418 | − | 0.998888i | \(-0.484989\pi\) |
−0.548993 | + | 0.835827i | \(0.684989\pi\) | |||||||
\(930\) | 12.2912 | − | 2.31676i | 0.403043 | − | 0.0759696i | ||||
\(931\) | −0.826882 | − | 1.13811i | −0.0271000 | − | 0.0372999i | ||||
\(932\) | −8.26435 | − | 6.00440i | −0.270708 | − | 0.196681i | ||||
\(933\) | −28.7899 | + | 30.5238i | −0.942540 | + | 0.999306i | ||||
\(934\) | − | 9.79150i | − | 0.320388i | ||||||
\(935\) | −1.88827 | − | 7.20388i | −0.0617532 | − | 0.235592i | ||||
\(936\) | −6.03070 | − | 3.86438i | −0.197120 | − | 0.126311i | ||||
\(937\) | −14.9808 | + | 4.86755i | −0.489401 | + | 0.159016i | −0.543314 | − | 0.839530i | \(-0.682831\pi\) |
0.0539130 | + | 0.998546i | \(0.482831\pi\) | |||||||
\(938\) | −1.91106 | + | 2.63035i | −0.0623985 | + | 0.0858841i | ||||
\(939\) | −14.2720 | + | 30.1578i | −0.465749 | + | 0.984163i | ||||
\(940\) | 1.97298 | − | 6.07221i | 0.0643515 | − | 0.198054i | ||||
\(941\) | −13.0916 | + | 40.2918i | −0.426774 | + | 1.31347i | 0.474512 | + | 0.880249i | \(0.342625\pi\) |
−0.901286 | + | 0.433226i | \(0.857375\pi\) | |||||||
\(942\) | 6.62606 | − | 14.0014i | 0.215889 | − | 0.456189i | ||||
\(943\) | 7.10338 | − | 9.77697i | 0.231318 | − | 0.318382i | ||||
\(944\) | −7.37352 | + | 2.39580i | −0.239988 | + | 0.0779767i | ||||
\(945\) | −0.312996 | + | 4.50239i | −0.0101818 | + | 0.146463i | ||||
\(946\) | −9.75869 | + | 25.0141i | −0.317282 | + | 0.813279i | ||||
\(947\) | 48.4481i | 1.57435i | 0.616729 | + | 0.787176i | \(0.288458\pi\) | ||||
−0.616729 | + | 0.787176i | \(0.711542\pi\) | |||||||
\(948\) | 17.5419 | − | 18.5984i | 0.569734 | − | 0.604047i | ||||
\(949\) | 26.9549 | + | 19.5839i | 0.874994 | + | 0.635721i | ||||
\(950\) | −3.51059 | − | 4.83191i | −0.113899 | − | 0.156768i | ||||
\(951\) | 16.5049 | − | 3.11101i | 0.535208 | − | 0.100881i | ||||
\(952\) | −2.45865 | − | 0.798865i | −0.0796855 | − | 0.0258914i | ||||
\(953\) | −4.37076 | + | 3.17554i | −0.141583 | + | 0.102866i | −0.656322 | − | 0.754481i | \(-0.727889\pi\) |
0.514739 | + | 0.857347i | \(0.327889\pi\) | |||||||
\(954\) | −12.6531 | − | 32.3719i | −0.409660 | − | 1.04808i | ||||
\(955\) | −2.54730 | − | 7.83978i | −0.0824286 | − | 0.253689i | ||||
\(956\) | −20.8056 | −0.672900 | ||||||||
\(957\) | −2.89909 | + | 15.4350i | −0.0937142 | + | 0.498942i | ||||
\(958\) | 38.9816 | 1.25944 | ||||||||
\(959\) | 3.74017 | + | 11.5111i | 0.120776 | + | 0.371711i | ||||
\(960\) | 0.191824 | − | 1.49214i | 0.00619110 | − | 0.0481586i | ||||
\(961\) | −30.8405 | + | 22.4069i | −0.994855 | + | 0.722804i | ||||
\(962\) | −21.5148 | − | 6.99058i | −0.693665 | − | 0.225385i | ||||
\(963\) | 13.4040 | + | 16.3480i | 0.431938 | + | 0.526807i | ||||
\(964\) | 9.32814 | + | 12.8391i | 0.300439 | + | 0.413519i | ||||
\(965\) | −0.633513 | − | 0.460274i | −0.0203935 | − | 0.0148168i | ||||
\(966\) | −8.89453 | − | 8.38927i | −0.286177 | − | 0.269920i | ||||
\(967\) | 25.8925i | 0.832645i | 0.909217 | + | 0.416323i | \(0.136681\pi\) | ||||
−0.909217 | + | 0.416323i | \(0.863319\pi\) | |||||||
\(968\) | 4.58332 | − | 9.99966i | 0.147314 | − | 0.321401i | ||||
\(969\) | −3.02250 | − | 5.52656i | −0.0970967 | − | 0.177539i | ||||
\(970\) | 9.54921 | − | 3.10273i | 0.306607 | − | 0.0996225i | ||||
\(971\) | 31.9524 | − | 43.9787i | 1.02540 | − | 1.41134i | 0.117053 | − | 0.993126i | \(-0.462655\pi\) |
0.908347 | − | 0.418217i | \(-0.137345\pi\) | |||||||
\(972\) | 15.5875 | + | 0.170800i | 0.499970 | + | 0.00547842i | ||||
\(973\) | 3.87532 | − | 11.9270i | 0.124237 | − | 0.382362i | ||||
\(974\) | −1.74681 | + | 5.37612i | −0.0559714 | + | 0.172262i | ||||
\(975\) | −15.8695 | − | 7.51013i | −0.508230 | − | 0.240517i | ||||
\(976\) | 6.63145 | − | 9.12741i | 0.212268 | − | 0.292161i | ||||
\(977\) | 18.7851 | − | 6.10364i | 0.600988 | − | 0.195273i | 0.00730686 | − | 0.999973i | \(-0.497674\pi\) |
0.593681 | + | 0.804701i | \(0.297674\pi\) | |||||||
\(978\) | −18.6062 | + | 10.1758i | −0.594960 | + | 0.325386i | ||||
\(979\) | 11.1891 | + | 9.16212i | 0.357605 | + | 0.292823i | ||||
\(980\) | − | 0.868577i | − | 0.0277457i | ||||||
\(981\) | −1.03823 | + | 3.97129i | −0.0331480 | + | 0.126793i | ||||
\(982\) | 26.8757 | + | 19.5264i | 0.857640 | + | 0.623112i | ||||
\(983\) | 22.3185 | + | 30.7188i | 0.711850 | + | 0.979777i | 0.999755 | + | 0.0221183i | \(0.00704106\pi\) |
−0.287906 | + | 0.957659i | \(0.592959\pi\) | |||||||
\(984\) | −0.549244 | − | 2.91392i | −0.0175093 | − | 0.0928922i | ||||
\(985\) | 13.3124 | + | 4.32546i | 0.424168 | + | 0.137821i | ||||
\(986\) | −5.71777 | + | 4.15420i | −0.182091 | + | 0.132297i | ||||
\(987\) | −12.6280 | − | 1.62340i | −0.401952 | − | 0.0516735i | ||||
\(988\) | 1.03790 | + | 3.19434i | 0.0330201 | + | 0.101625i | ||||
\(989\) | −57.1481 | −1.81720 | ||||||||
\(990\) | −5.08426 | − | 6.98845i | −0.161588 | − | 0.222108i | ||||
\(991\) | −4.58569 | −0.145669 | −0.0728347 | − | 0.997344i | \(-0.523205\pi\) | ||||
−0.0728347 | + | 0.997344i | \(0.523205\pi\) | |||||||
\(992\) | 2.56914 | + | 7.90699i | 0.0815702 | + | 0.251047i | ||||
\(993\) | −44.0270 | − | 5.65996i | −1.39716 | − | 0.179613i | ||||
\(994\) | 0.855585 | − | 0.621619i | 0.0271375 | − | 0.0197166i | ||||
\(995\) | −1.97867 | − | 0.642909i | −0.0627281 | − | 0.0203816i | ||||
\(996\) | −2.50084 | − | 13.2678i | −0.0792422 | − | 0.420406i | ||||
\(997\) | −2.16828 | − | 2.98438i | −0.0686701 | − | 0.0945162i | 0.773301 | − | 0.634040i | \(-0.218604\pi\) |
−0.841971 | + | 0.539523i | \(0.818604\pi\) | |||||||
\(998\) | 14.6221 | + | 10.6236i | 0.462855 | + | 0.336284i | ||||
\(999\) | 47.7665 | − | 11.9302i | 1.51126 | − | 0.377454i |
(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 | 462.2.w.b.281.1 | yes | 48 | |
3.2 | odd | 2 | 462.2.w.a.281.5 | ✓ | 48 | ||
11.2 | odd | 10 | 462.2.w.a.365.5 | yes | 48 | ||
33.2 | even | 10 | inner | 462.2.w.b.365.1 | yes | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
462.2.w.a.281.5 | ✓ | 48 | 3.2 | odd | 2 | ||
462.2.w.a.365.5 | yes | 48 | 11.2 | odd | 10 | ||
462.2.w.b.281.1 | yes | 48 | 1.1 | even | 1 | trivial | |
462.2.w.b.365.1 | yes | 48 | 33.2 | even | 10 | inner |