Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [73,2,Mod(3,73)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(73, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("73.3");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 73 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 73.h (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.582907934755\) |
Analytic rank: | \(0\) |
Dimension: | \(20\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{12})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{20} + \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{20} + 28 x^{18} + 326 x^{16} + 2044 x^{14} + 7471 x^{12} + 16090 x^{10} + 19590 x^{8} + 12030 x^{6} + \cdots + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 3.2 | ||
Root | \(-1.44785i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 73.3 |
Dual form | 73.2.h.a.49.2 |
$q$-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 \(\left(\mathbb{Z}/73\mathbb{Z}\right)^\times\).
\(n\) | \(5\) |
\(\chi(n)\) | \(e\left(\frac{1}{12}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.723926 | + | 1.25388i | −0.511893 | + | 0.886625i | 0.488012 | + | 0.872837i | \(0.337722\pi\) |
−0.999905 | + | 0.0137880i | \(0.995611\pi\) | |||||||
\(3\) | − | 0.458687i | − | 0.264823i | −0.991195 | − | 0.132411i | \(-0.957728\pi\) | ||
0.991195 | − | 0.132411i | \(-0.0422720\pi\) | |||||||
\(4\) | −0.0481386 | − | 0.0833785i | −0.0240693 | − | 0.0416893i | ||||
\(5\) | 2.03807 | + | 0.546100i | 0.911453 | + | 0.244223i | 0.683928 | − | 0.729549i | \(-0.260270\pi\) |
0.227525 | + | 0.973772i | \(0.426937\pi\) | |||||||
\(6\) | 0.575137 | + | 0.332055i | 0.234799 | + | 0.135561i | ||||
\(7\) | −2.38436 | + | 2.38436i | −0.901205 | + | 0.901205i | −0.995540 | − | 0.0943354i | \(-0.969927\pi\) |
0.0943354 | + | 0.995540i | \(0.469927\pi\) | |||||||
\(8\) | −2.75631 | −0.974503 | ||||||||
\(9\) | 2.78961 | 0.929869 | ||||||||
\(10\) | −2.16016 | + | 2.16016i | −0.683101 | + | 0.683101i | ||||
\(11\) | 1.13811 | − | 4.24747i | 0.343152 | − | 1.28066i | −0.551605 | − | 0.834106i | \(-0.685984\pi\) |
0.894757 | − | 0.446554i | \(-0.147349\pi\) | |||||||
\(12\) | −0.0382446 | + | 0.0220805i | −0.0110403 | + | 0.00637410i | ||||
\(13\) | −2.85346 | + | 0.764583i | −0.791408 | + | 0.212057i | −0.631808 | − | 0.775125i | \(-0.717687\pi\) |
−0.159600 | + | 0.987182i | \(0.551020\pi\) | |||||||
\(14\) | −1.26360 | − | 4.71580i | −0.337710 | − | 1.26035i | ||||
\(15\) | 0.250489 | − | 0.934836i | 0.0646759 | − | 0.241374i | ||||
\(16\) | 2.09164 | − | 3.62283i | 0.522911 | − | 0.905708i | ||||
\(17\) | 5.36922 | − | 5.36922i | 1.30223 | − | 1.30223i | 0.375340 | − | 0.926887i | \(-0.377526\pi\) |
0.926887 | − | 0.375340i | \(-0.122474\pi\) | |||||||
\(18\) | −2.01947 | + | 3.49782i | −0.475994 | + | 0.824445i | ||||
\(19\) | −2.10676 | − | 1.21634i | −0.483323 | − | 0.279047i | 0.238477 | − | 0.971148i | \(-0.423352\pi\) |
−0.721800 | + | 0.692101i | \(0.756685\pi\) | |||||||
\(20\) | −0.0525770 | − | 0.196220i | −0.0117566 | − | 0.0438761i | ||||
\(21\) | 1.09368 | + | 1.09368i | 0.238660 | + | 0.238660i | ||||
\(22\) | 4.50190 | + | 4.50190i | 0.959808 | + | 0.959808i | ||||
\(23\) | −2.13349 | + | 1.23177i | −0.444863 | + | 0.256842i | −0.705658 | − | 0.708552i | \(-0.749349\pi\) |
0.260795 | + | 0.965394i | \(0.416015\pi\) | |||||||
\(24\) | 1.26428i | 0.258071i | ||||||||
\(25\) | −0.474616 | − | 0.274019i | −0.0949231 | − | 0.0548039i | ||||
\(26\) | 1.10700 | − | 4.13139i | 0.217101 | − | 0.810233i | ||||
\(27\) | − | 2.65562i | − | 0.511073i | ||||||
\(28\) | 0.313585 | + | 0.0840248i | 0.0592620 | + | 0.0158792i | ||||
\(29\) | −5.66546 | + | 1.51806i | −1.05205 | + | 0.281896i | −0.743099 | − | 0.669182i | \(-0.766645\pi\) |
−0.308952 | + | 0.951078i | \(0.599978\pi\) | |||||||
\(30\) | 0.990835 | + | 0.990835i | 0.180901 | + | 0.180901i | ||||
\(31\) | 0.429781 | − | 0.115159i | 0.0771909 | − | 0.0206832i | −0.220017 | − | 0.975496i | \(-0.570611\pi\) |
0.297208 | + | 0.954813i | \(0.403945\pi\) | |||||||
\(32\) | 0.272080 | + | 0.471257i | 0.0480974 | + | 0.0833072i | ||||
\(33\) | −1.94826 | − | 0.522034i | −0.339148 | − | 0.0908744i | ||||
\(34\) | 2.84542 | + | 10.6193i | 0.487986 | + | 1.82119i | ||||
\(35\) | −6.16161 | + | 3.55741i | −1.04150 | + | 0.601311i | ||||
\(36\) | −0.134288 | − | 0.232593i | −0.0223813 | − | 0.0387655i | ||||
\(37\) | 2.93208 | + | 5.07850i | 0.482030 | + | 0.834901i | 0.999787 | − | 0.0206268i | \(-0.00656619\pi\) |
−0.517757 | + | 0.855528i | \(0.673233\pi\) | |||||||
\(38\) | 3.05028 | − | 1.76108i | 0.494820 | − | 0.285684i | ||||
\(39\) | 0.350704 | + | 1.30885i | 0.0561576 | + | 0.209583i | ||||
\(40\) | −5.61756 | − | 1.50522i | −0.888214 | − | 0.237996i | ||||
\(41\) | 1.80111 | + | 3.11961i | 0.281286 | + | 0.487202i | 0.971702 | − | 0.236211i | \(-0.0759057\pi\) |
−0.690416 | + | 0.723413i | \(0.742572\pi\) | |||||||
\(42\) | −2.16308 | + | 0.579595i | −0.333770 | + | 0.0894334i | ||||
\(43\) | 4.83927 | + | 4.83927i | 0.737982 | + | 0.737982i | 0.972187 | − | 0.234205i | \(-0.0752488\pi\) |
−0.234205 | + | 0.972187i | \(0.575249\pi\) | |||||||
\(44\) | −0.408934 | + | 0.109574i | −0.0616492 | + | 0.0165188i | ||||
\(45\) | 5.68542 | + | 1.52340i | 0.847532 | + | 0.227096i | ||||
\(46\) | − | 3.56684i | − | 0.525902i | ||||||
\(47\) | −0.780539 | + | 2.91301i | −0.113853 | + | 0.424906i | −0.999199 | − | 0.0400279i | \(-0.987255\pi\) |
0.885345 | + | 0.464934i | \(0.153922\pi\) | |||||||
\(48\) | −1.66174 | − | 0.959409i | −0.239852 | − | 0.138479i | ||||
\(49\) | − | 4.37039i | − | 0.624341i | ||||||
\(50\) | 0.687174 | − | 0.396740i | 0.0971810 | − | 0.0561075i | ||||
\(51\) | −2.46279 | − | 2.46279i | −0.344860 | − | 0.344860i | ||||
\(52\) | 0.201112 | + | 0.201112i | 0.0278892 | + | 0.0278892i | ||||
\(53\) | −2.89458 | − | 10.8027i | −0.397601 | − | 1.48387i | −0.817304 | − | 0.576207i | \(-0.804532\pi\) |
0.419702 | − | 0.907662i | \(-0.362134\pi\) | |||||||
\(54\) | 3.32982 | + | 1.92247i | 0.453130 | + | 0.261615i | ||||
\(55\) | 4.63908 | − | 8.03512i | 0.625534 | − | 1.08346i | ||||
\(56\) | 6.57205 | − | 6.57205i | 0.878227 | − | 0.878227i | ||||
\(57\) | −0.557918 | + | 0.966342i | −0.0738980 | + | 0.127995i | ||||
\(58\) | 2.19792 | − | 8.20276i | 0.288601 | − | 1.07707i | ||||
\(59\) | 2.40748 | + | 8.98484i | 0.313427 | + | 1.16973i | 0.925445 | + | 0.378882i | \(0.123692\pi\) |
−0.612018 | + | 0.790844i | \(0.709642\pi\) | |||||||
\(60\) | −0.0900034 | + | 0.0241164i | −0.0116194 | + | 0.00311341i | ||||
\(61\) | −7.21118 | + | 4.16338i | −0.923297 | + | 0.533066i | −0.884685 | − | 0.466188i | \(-0.845627\pi\) |
−0.0386117 | + | 0.999254i | \(0.512294\pi\) | |||||||
\(62\) | −0.166734 | + | 0.622259i | −0.0211752 | + | 0.0790270i | ||||
\(63\) | −6.65144 | + | 6.65144i | −0.838003 | + | 0.838003i | ||||
\(64\) | 7.57871 | 0.947338 | ||||||||
\(65\) | −6.23310 | −0.773121 | ||||||||
\(66\) | 2.06496 | − | 2.06496i | 0.254179 | − | 0.254179i | ||||
\(67\) | −9.97759 | − | 5.76056i | −1.21896 | − | 0.703765i | −0.254262 | − | 0.967136i | \(-0.581832\pi\) |
−0.964695 | + | 0.263371i | \(0.915166\pi\) | |||||||
\(68\) | −0.706145 | − | 0.189211i | −0.0856326 | − | 0.0229452i | ||||
\(69\) | 0.564996 | + | 0.978602i | 0.0680175 | + | 0.117810i | ||||
\(70\) | − | 10.3012i | − | 1.23123i | ||||||
\(71\) | 3.54359 | − | 6.13768i | 0.420547 | − | 0.728409i | −0.575446 | − | 0.817840i | \(-0.695172\pi\) |
0.995993 | + | 0.0894309i | \(0.0285048\pi\) | |||||||
\(72\) | −7.68902 | −0.906160 | ||||||||
\(73\) | 7.50464 | + | 4.08417i | 0.878351 | + | 0.478016i | ||||
\(74\) | −8.49043 | −0.986992 | ||||||||
\(75\) | −0.125689 | + | 0.217700i | −0.0145133 | + | 0.0251378i | ||||
\(76\) | 0.234211i | 0.0268659i | ||||||||
\(77\) | 7.41385 | + | 12.8412i | 0.844887 | + | 1.46339i | ||||
\(78\) | −1.89502 | − | 0.507768i | −0.214568 | − | 0.0574934i | ||||
\(79\) | −8.47093 | − | 4.89069i | −0.953054 | − | 0.550246i | −0.0590255 | − | 0.998256i | \(-0.518799\pi\) |
−0.894028 | + | 0.448011i | \(0.852133\pi\) | |||||||
\(80\) | 6.24134 | − | 6.24134i | 0.697804 | − | 0.697804i | ||||
\(81\) | 7.15072 | 0.794525 | ||||||||
\(82\) | −5.21548 | −0.575954 | ||||||||
\(83\) | −5.55221 | + | 5.55221i | −0.609434 | + | 0.609434i | −0.942798 | − | 0.333364i | \(-0.891816\pi\) |
0.333364 | + | 0.942798i | \(0.391816\pi\) | |||||||
\(84\) | 0.0385411 | − | 0.143837i | 0.00420517 | − | 0.0156939i | ||||
\(85\) | 13.8750 | − | 8.01073i | 1.50495 | − | 0.868885i | ||||
\(86\) | −9.57113 | + | 2.56458i | −1.03208 | + | 0.276545i | ||||
\(87\) | 0.696312 | + | 2.59867i | 0.0746525 | + | 0.278607i | ||||
\(88\) | −3.13697 | + | 11.7073i | −0.334402 | + | 1.24801i | ||||
\(89\) | −3.64561 | + | 6.31439i | −0.386434 | + | 0.669324i | −0.991967 | − | 0.126496i | \(-0.959627\pi\) |
0.605533 | + | 0.795820i | \(0.292960\pi\) | |||||||
\(90\) | −6.02598 | + | 6.02598i | −0.635195 | + | 0.635195i | ||||
\(91\) | 4.98065 | − | 8.62674i | 0.522114 | − | 0.904328i | ||||
\(92\) | 0.205406 | + | 0.118591i | 0.0214151 | + | 0.0123640i | ||||
\(93\) | −0.0528221 | − | 0.197135i | −0.00547740 | − | 0.0204419i | ||||
\(94\) | −3.08750 | − | 3.08750i | −0.318452 | − | 0.318452i | ||||
\(95\) | −3.62948 | − | 3.62948i | −0.372377 | − | 0.372377i | ||||
\(96\) | 0.216159 | − | 0.124800i | 0.0220617 | − | 0.0127373i | ||||
\(97\) | 10.1144i | 1.02696i | 0.858100 | + | 0.513482i | \(0.171645\pi\) | ||||
−0.858100 | + | 0.513482i | \(0.828355\pi\) | |||||||
\(98\) | 5.47993 | + | 3.16384i | 0.553557 | + | 0.319596i | ||||
\(99\) | 3.17487 | − | 11.8488i | 0.319086 | − | 1.19085i | ||||
\(100\) | 0.0527637i | 0.00527637i | ||||||||
\(101\) | 4.02375 | + | 1.07816i | 0.400378 | + | 0.107281i | 0.453389 | − | 0.891313i | \(-0.350215\pi\) |
−0.0530104 | + | 0.998594i | \(0.516882\pi\) | |||||||
\(102\) | 4.87091 | − | 1.30516i | 0.482292 | − | 0.129230i | ||||
\(103\) | −3.88886 | − | 3.88886i | −0.383181 | − | 0.383181i | 0.489066 | − | 0.872247i | \(-0.337338\pi\) |
−0.872247 | + | 0.489066i | \(0.837338\pi\) | |||||||
\(104\) | 7.86503 | − | 2.10743i | 0.771230 | − | 0.206650i | ||||
\(105\) | 1.63173 | + | 2.82625i | 0.159241 | + | 0.275813i | ||||
\(106\) | 15.6408 | + | 4.19093i | 1.51916 | + | 0.407059i | ||||
\(107\) | −1.19593 | − | 4.46325i | −0.115614 | − | 0.431479i | 0.883718 | − | 0.468020i | \(-0.155033\pi\) |
−0.999332 | + | 0.0365413i | \(0.988366\pi\) | |||||||
\(108\) | −0.221421 | + | 0.127838i | −0.0213063 | + | 0.0123012i | ||||
\(109\) | −1.79604 | − | 3.11083i | −0.172029 | − | 0.297964i | 0.767100 | − | 0.641528i | \(-0.221699\pi\) |
−0.939129 | + | 0.343564i | \(0.888366\pi\) | |||||||
\(110\) | 6.71671 | + | 11.6337i | 0.640413 | + | 1.10923i | ||||
\(111\) | 2.32944 | − | 1.34490i | 0.221101 | − | 0.127653i | ||||
\(112\) | 3.65091 | + | 13.6254i | 0.344979 | + | 1.28748i | ||||
\(113\) | 7.66140 | + | 2.05286i | 0.720723 | + | 0.193117i | 0.600494 | − | 0.799629i | \(-0.294970\pi\) |
0.120229 | + | 0.992746i | \(0.461637\pi\) | |||||||
\(114\) | −0.807783 | − | 1.39912i | −0.0756558 | − | 0.131040i | ||||
\(115\) | −5.02087 | + | 1.34534i | −0.468198 | + | 0.125453i | ||||
\(116\) | 0.399301 | + | 0.399301i | 0.0370742 | + | 0.0370742i | ||||
\(117\) | −7.96004 | + | 2.13289i | −0.735906 | + | 0.197185i | ||||
\(118\) | −13.0087 | − | 3.48568i | −1.19755 | − | 0.320883i | ||||
\(119\) | 25.6044i | 2.34715i | ||||||||
\(120\) | −0.690424 | + | 2.57670i | −0.0630268 | + | 0.235219i | ||||
\(121\) | −7.21942 | − | 4.16813i | −0.656311 | − | 0.378921i | ||||
\(122\) | − | 12.0559i | − | 1.09149i | ||||||
\(123\) | 1.43093 | − | 0.826145i | 0.129022 | − | 0.0744910i | ||||
\(124\) | −0.0302909 | − | 0.0302909i | −0.00272020 | − | 0.00272020i | ||||
\(125\) | −8.27752 | − | 8.27752i | −0.740364 | − | 0.740364i | ||||
\(126\) | −3.52494 | − | 13.1552i | −0.314026 | − | 1.17196i | ||||
\(127\) | 12.6958 | + | 7.32992i | 1.12657 | + | 0.650425i | 0.943070 | − | 0.332595i | \(-0.107924\pi\) |
0.183499 | + | 0.983020i | \(0.441258\pi\) | |||||||
\(128\) | −6.03059 | + | 10.4453i | −0.533033 | + | 0.923241i | ||||
\(129\) | 2.21971 | − | 2.21971i | 0.195434 | − | 0.195434i | ||||
\(130\) | 4.51231 | − | 7.81554i | 0.395755 | − | 0.685469i | ||||
\(131\) | 2.40332 | − | 8.96930i | 0.209979 | − | 0.783651i | −0.777895 | − | 0.628394i | \(-0.783713\pi\) |
0.987874 | − | 0.155257i | \(-0.0496207\pi\) | |||||||
\(132\) | 0.0502600 | + | 0.187573i | 0.00437457 | + | 0.0163261i | ||||
\(133\) | 7.92347 | − | 2.12309i | 0.687052 | − | 0.184095i | ||||
\(134\) | 14.4461 | − | 8.34045i | 1.24795 | − | 0.720505i | ||||
\(135\) | 1.45023 | − | 5.41233i | 0.124816 | − | 0.465820i | ||||
\(136\) | −14.7992 | + | 14.7992i | −1.26902 | + | 1.26902i | ||||
\(137\) | −20.5709 | −1.75749 | −0.878747 | − | 0.477287i | \(-0.841620\pi\) | ||||
−0.878747 | + | 0.477287i | \(0.841620\pi\) | |||||||
\(138\) | −1.63606 | −0.139271 | ||||||||
\(139\) | −3.67906 | + | 3.67906i | −0.312054 | + | 0.312054i | −0.845705 | − | 0.533651i | \(-0.820820\pi\) |
0.533651 | + | 0.845705i | \(0.320820\pi\) | |||||||
\(140\) | 0.593222 | + | 0.342497i | 0.0501364 | + | 0.0289463i | ||||
\(141\) | 1.33616 | + | 0.358023i | 0.112525 | + | 0.0301509i | ||||
\(142\) | 5.13060 | + | 8.88646i | 0.430550 | + | 0.745735i | ||||
\(143\) | 12.9902i | 1.08629i | ||||||||
\(144\) | 5.83486 | − | 10.1063i | 0.486238 | − | 0.842189i | ||||
\(145\) | −12.3756 | −1.02774 | ||||||||
\(146\) | −10.5538 | + | 6.45326i | −0.873443 | + | 0.534075i | ||||
\(147\) | −2.00464 | −0.165340 | ||||||||
\(148\) | 0.282292 | − | 0.488944i | 0.0232043 | − | 0.0401910i | ||||
\(149\) | − | 2.21393i | − | 0.181372i | −0.995880 | − | 0.0906862i | \(-0.971094\pi\) | ||
0.995880 | − | 0.0906862i | \(-0.0289060\pi\) | |||||||
\(150\) | −0.181979 | − | 0.315197i | −0.0148585 | − | 0.0257358i | ||||
\(151\) | 6.35385 | + | 1.70251i | 0.517069 | + | 0.138548i | 0.507911 | − | 0.861410i | \(-0.330418\pi\) |
0.00915866 | + | 0.999958i | \(0.497085\pi\) | |||||||
\(152\) | 5.80688 | + | 3.35260i | 0.471000 | + | 0.271932i | ||||
\(153\) | 14.9780 | − | 14.9780i | 1.21090 | − | 1.21090i | ||||
\(154\) | −21.4683 | −1.72997 | ||||||||
\(155\) | 0.938813 | 0.0754073 | ||||||||
\(156\) | 0.0922472 | − | 0.0922472i | 0.00738569 | − | 0.00738569i | ||||
\(157\) | 4.93449 | − | 18.4158i | 0.393815 | − | 1.46974i | −0.429973 | − | 0.902842i | \(-0.641477\pi\) |
0.823789 | − | 0.566897i | \(-0.191856\pi\) | |||||||
\(158\) | 12.2647 | − | 7.08100i | 0.975723 | − | 0.563334i | ||||
\(159\) | −4.95507 | + | 1.32771i | −0.392962 | + | 0.105294i | ||||
\(160\) | 0.297166 | + | 1.10904i | 0.0234930 | + | 0.0876771i | ||||
\(161\) | 2.15002 | − | 8.02400i | 0.169446 | − | 0.632380i | ||||
\(162\) | −5.17660 | + | 8.96613i | −0.406712 | + | 0.704446i | ||||
\(163\) | 8.42481 | − | 8.42481i | 0.659882 | − | 0.659882i | −0.295470 | − | 0.955352i | \(-0.595476\pi\) |
0.955352 | + | 0.295470i | \(0.0954763\pi\) | |||||||
\(164\) | 0.173406 | − | 0.300348i | 0.0135407 | − | 0.0234532i | ||||
\(165\) | −3.68560 | − | 2.12788i | −0.286924 | − | 0.165656i | ||||
\(166\) | −2.94240 | − | 10.9812i | −0.228374 | − | 0.852304i | ||||
\(167\) | −0.245707 | − | 0.245707i | −0.0190134 | − | 0.0190134i | 0.697536 | − | 0.716550i | \(-0.254280\pi\) |
−0.716550 | + | 0.697536i | \(0.754280\pi\) | |||||||
\(168\) | −3.01451 | − | 3.01451i | −0.232575 | − | 0.232575i | ||||
\(169\) | −3.70066 | + | 2.13658i | −0.284666 | + | 0.164352i | ||||
\(170\) | 23.1967i | 1.77911i | ||||||||
\(171\) | −5.87703 | − | 3.39310i | −0.449427 | − | 0.259477i | ||||
\(172\) | 0.170535 | − | 0.636447i | 0.0130032 | − | 0.0485286i | ||||
\(173\) | − | 10.0323i | − | 0.762741i | −0.924422 | − | 0.381371i | \(-0.875452\pi\) | ||
0.924422 | − | 0.381371i | \(-0.124548\pi\) | |||||||
\(174\) | −3.76250 | − | 1.00816i | −0.285234 | − | 0.0764282i | ||||
\(175\) | 1.78502 | − | 0.478294i | 0.134935 | − | 0.0361557i | ||||
\(176\) | −13.0073 | − | 13.0073i | −0.980466 | − | 0.980466i | ||||
\(177\) | 4.12123 | − | 1.10428i | 0.309770 | − | 0.0830027i | ||||
\(178\) | −5.27831 | − | 9.14231i | −0.395626 | − | 0.685245i | ||||
\(179\) | 24.9725 | + | 6.69137i | 1.86654 | + | 0.500137i | 0.999999 | + | 0.00102210i | \(0.000325345\pi\) |
0.866536 | + | 0.499115i | \(0.166341\pi\) | |||||||
\(180\) | −0.146669 | − | 0.547376i | −0.0109321 | − | 0.0407990i | ||||
\(181\) | −1.50933 | + | 0.871410i | −0.112187 | + | 0.0647714i | −0.555044 | − | 0.831821i | \(-0.687298\pi\) |
0.442856 | + | 0.896593i | \(0.353965\pi\) | |||||||
\(182\) | 7.21125 | + | 12.4903i | 0.534533 | + | 0.925839i | ||||
\(183\) | 1.90969 | + | 3.30767i | 0.141168 | + | 0.244510i | ||||
\(184\) | 5.88055 | − | 3.39514i | 0.433520 | − | 0.250293i | ||||
\(185\) | 3.20241 | + | 11.9516i | 0.235446 | + | 0.878696i | ||||
\(186\) | 0.285422 | + | 0.0764786i | 0.0209282 | + | 0.00560768i | ||||
\(187\) | −16.6949 | − | 28.9163i | −1.22085 | − | 2.11457i | ||||
\(188\) | 0.280457 | − | 0.0751481i | 0.0204544 | − | 0.00548074i | ||||
\(189\) | 6.33195 | + | 6.33195i | 0.460582 | + | 0.460582i | ||||
\(190\) | 7.17840 | − | 1.92345i | 0.520776 | − | 0.139542i | ||||
\(191\) | 7.58789 | + | 2.03317i | 0.549040 | + | 0.147115i | 0.522666 | − | 0.852537i | \(-0.324937\pi\) |
0.0263738 | + | 0.999652i | \(0.491604\pi\) | |||||||
\(192\) | − | 3.47625i | − | 0.250877i | ||||||
\(193\) | −0.242381 | + | 0.904580i | −0.0174470 | + | 0.0651131i | −0.974101 | − | 0.226115i | \(-0.927397\pi\) |
0.956654 | + | 0.291229i | \(0.0940640\pi\) | |||||||
\(194\) | −12.6823 | − | 7.32210i | −0.910533 | − | 0.525696i | ||||
\(195\) | 2.85904i | 0.204740i | ||||||||
\(196\) | −0.364397 | + | 0.210384i | −0.0260283 | + | 0.0150275i | ||||
\(197\) | −6.93884 | − | 6.93884i | −0.494372 | − | 0.494372i | 0.415308 | − | 0.909681i | \(-0.363674\pi\) |
−0.909681 | + | 0.415308i | \(0.863674\pi\) | |||||||
\(198\) | 12.5585 | + | 12.5585i | 0.892496 | + | 0.892496i | ||||
\(199\) | 6.41202 | + | 23.9300i | 0.454536 | + | 1.69635i | 0.689449 | + | 0.724334i | \(0.257853\pi\) |
−0.234913 | + | 0.972016i | \(0.575481\pi\) | |||||||
\(200\) | 1.30819 | + | 0.755283i | 0.0925029 | + | 0.0534065i | ||||
\(201\) | −2.64229 | + | 4.57659i | −0.186373 | + | 0.322807i | ||||
\(202\) | −4.26478 | + | 4.26478i | −0.300069 | + | 0.300069i | ||||
\(203\) | 9.88893 | − | 17.1281i | 0.694067 | − | 1.20216i | ||||
\(204\) | −0.0867885 | + | 0.323899i | −0.00607641 | + | 0.0226775i | ||||
\(205\) | 1.96717 | + | 7.34158i | 0.137393 | + | 0.512758i | ||||
\(206\) | 7.69141 | − | 2.06091i | 0.535886 | − | 0.143590i | ||||
\(207\) | −5.95159 | + | 3.43615i | −0.413664 | + | 0.238829i | ||||
\(208\) | −3.19847 | + | 11.9369i | −0.221774 | + | 0.827672i | ||||
\(209\) | −7.56407 | + | 7.56407i | −0.523218 | + | 0.523218i | ||||
\(210\) | −4.72502 | −0.326057 | ||||||||
\(211\) | −11.9788 | −0.824658 | −0.412329 | − | 0.911035i | \(-0.635284\pi\) | ||||
−0.412329 | + | 0.911035i | \(0.635284\pi\) | |||||||
\(212\) | −0.761374 | + | 0.761374i | −0.0522914 | + | 0.0522914i | ||||
\(213\) | −2.81527 | − | 1.62540i | −0.192899 | − | 0.111370i | ||||
\(214\) | 6.46213 | + | 1.73152i | 0.441742 | + | 0.118365i | ||||
\(215\) | 7.22006 | + | 12.5055i | 0.492404 | + | 0.852868i | ||||
\(216\) | 7.31970i | 0.498042i | ||||||||
\(217\) | −0.750172 | + | 1.29934i | −0.0509250 | + | 0.0882047i | ||||
\(218\) | 5.20080 | 0.352243 | ||||||||
\(219\) | 1.87335 | − | 3.44228i | 0.126589 | − | 0.232608i | ||||
\(220\) | −0.893276 | −0.0602246 | ||||||||
\(221\) | −11.2157 | + | 19.4261i | −0.754447 | + | 1.30674i | ||||
\(222\) | 3.89445i | 0.261378i | ||||||||
\(223\) | 13.3440 | + | 23.1125i | 0.893581 | + | 1.54773i | 0.835552 | + | 0.549412i | \(0.185148\pi\) |
0.0580290 | + | 0.998315i | \(0.481518\pi\) | |||||||
\(224\) | −1.77239 | − | 0.474909i | −0.118423 | − | 0.0317312i | ||||
\(225\) | −1.32399 | − | 0.764407i | −0.0882661 | − | 0.0509604i | ||||
\(226\) | −8.12033 | + | 8.12033i | −0.540156 | + | 0.540156i | ||||
\(227\) | −2.26439 | −0.150293 | −0.0751465 | − | 0.997173i | \(-0.523942\pi\) | ||||
−0.0751465 | + | 0.997173i | \(0.523942\pi\) | |||||||
\(228\) | 0.107430 | 0.00711470 | ||||||||
\(229\) | −7.68166 | + | 7.68166i | −0.507618 | + | 0.507618i | −0.913795 | − | 0.406177i | \(-0.866862\pi\) |
0.406177 | + | 0.913795i | \(0.366862\pi\) | |||||||
\(230\) | 1.94785 | − | 7.26948i | 0.128437 | − | 0.479335i | ||||
\(231\) | 5.89007 | − | 3.40064i | 0.387538 | − | 0.223745i | ||||
\(232\) | 15.6158 | − | 4.18423i | 1.02523 | − | 0.274708i | ||||
\(233\) | −2.18704 | − | 8.16215i | −0.143278 | − | 0.534721i | −0.999826 | − | 0.0186533i | \(-0.994062\pi\) |
0.856548 | − | 0.516067i | \(-0.172605\pi\) | |||||||
\(234\) | 3.08811 | − | 11.5250i | 0.201876 | − | 0.753411i | ||||
\(235\) | −3.18159 | + | 5.51067i | −0.207544 | + | 0.359477i | ||||
\(236\) | 0.633250 | − | 0.633250i | 0.0412211 | − | 0.0412211i | ||||
\(237\) | −2.24330 | + | 3.88550i | −0.145718 | + | 0.252390i | ||||
\(238\) | −32.1047 | − | 18.5357i | −2.08104 | − | 1.20149i | ||||
\(239\) | −4.16298 | − | 15.5365i | −0.269281 | − | 1.00497i | −0.959578 | − | 0.281443i | \(-0.909187\pi\) |
0.690297 | − | 0.723526i | \(-0.257480\pi\) | |||||||
\(240\) | −2.86282 | − | 2.86282i | −0.184794 | − | 0.184794i | ||||
\(241\) | 10.3959 | + | 10.3959i | 0.669662 | + | 0.669662i | 0.957638 | − | 0.287976i | \(-0.0929823\pi\) |
−0.287976 | + | 0.957638i | \(0.592982\pi\) | |||||||
\(242\) | 10.4527 | − | 6.03484i | 0.671922 | − | 0.387934i | ||||
\(243\) | − | 11.2468i | − | 0.721482i | ||||||
\(244\) | 0.694273 | + | 0.400838i | 0.0444462 | + | 0.0256611i | ||||
\(245\) | 2.38667 | − | 8.90716i | 0.152479 | − | 0.569058i | ||||
\(246\) | 2.39227i | 0.152526i | ||||||||
\(247\) | 6.94155 | + | 1.85998i | 0.441680 | + | 0.118348i | ||||
\(248\) | −1.18461 | + | 0.317415i | −0.0752228 | + | 0.0201559i | ||||
\(249\) | 2.54672 | + | 2.54672i | 0.161392 | + | 0.161392i | ||||
\(250\) | 16.3713 | − | 4.38668i | 1.03541 | − | 0.277438i | ||||
\(251\) | 2.24109 | + | 3.88169i | 0.141457 | + | 0.245010i | 0.928045 | − | 0.372467i | \(-0.121488\pi\) |
−0.786589 | + | 0.617477i | \(0.788155\pi\) | |||||||
\(252\) | 0.874778 | + | 0.234396i | 0.0551058 | + | 0.0147656i | ||||
\(253\) | 2.80377 | + | 10.4638i | 0.176271 | + | 0.657854i | ||||
\(254\) | −18.3816 | + | 10.6126i | −1.15337 | + | 0.665896i | ||||
\(255\) | −3.67441 | − | 6.36427i | −0.230101 | − | 0.398546i | ||||
\(256\) | −1.15269 | − | 1.99652i | −0.0720433 | − | 0.124783i | ||||
\(257\) | −15.6712 | + | 9.04775i | −0.977540 | + | 0.564383i | −0.901526 | − | 0.432724i | \(-0.857552\pi\) |
−0.0760133 | + | 0.997107i | \(0.524219\pi\) | |||||||
\(258\) | 1.17634 | + | 4.39015i | 0.0732355 | + | 0.273319i | ||||
\(259\) | −19.1001 | − | 5.11787i | −1.18683 | − | 0.318009i | ||||
\(260\) | 0.300053 | + | 0.519707i | 0.0186085 | + | 0.0322309i | ||||
\(261\) | −15.8044 | + | 4.23478i | −0.978269 | + | 0.262126i | ||||
\(262\) | 9.50658 | + | 9.50658i | 0.587318 | + | 0.587318i | ||||
\(263\) | 26.8837 | − | 7.20345i | 1.65772 | − | 0.444184i | 0.695958 | − | 0.718082i | \(-0.254980\pi\) |
0.961759 | + | 0.273898i | \(0.0883132\pi\) | |||||||
\(264\) | 5.37000 | + | 1.43889i | 0.330501 | + | 0.0885574i | ||||
\(265\) | − | 23.5975i | − | 1.44958i | ||||||
\(266\) | −3.07392 | + | 11.4720i | −0.188474 | + | 0.703395i | ||||
\(267\) | 2.89633 | + | 1.67219i | 0.177252 | + | 0.102337i | ||||
\(268\) | 1.10922i | 0.0677565i | ||||||||
\(269\) | −8.20262 | + | 4.73579i | −0.500123 | + | 0.288746i | −0.728764 | − | 0.684765i | \(-0.759905\pi\) |
0.228641 | + | 0.973511i | \(0.426572\pi\) | |||||||
\(270\) | 5.73654 | + | 5.73654i | 0.349115 | + | 0.349115i | ||||
\(271\) | 19.3996 | + | 19.3996i | 1.17844 | + | 1.17844i | 0.980141 | + | 0.198304i | \(0.0635432\pi\) |
0.198304 | + | 0.980141i | \(0.436457\pi\) | |||||||
\(272\) | −8.22129 | − | 30.6823i | −0.498489 | − | 1.86039i | ||||
\(273\) | −3.95697 | − | 2.28456i | −0.239487 | − | 0.138268i | ||||
\(274\) | 14.8919 | − | 25.7934i | 0.899650 | − | 1.55824i | ||||
\(275\) | −1.70405 | + | 1.70405i | −0.102758 | + | 0.102758i | ||||
\(276\) | 0.0543963 | − | 0.0942171i | 0.00327427 | − | 0.00567120i | ||||
\(277\) | 3.73521 | − | 13.9400i | 0.224427 | − | 0.837574i | −0.758206 | − | 0.652015i | \(-0.773924\pi\) |
0.982633 | − | 0.185559i | \(-0.0594095\pi\) | |||||||
\(278\) | −1.94972 | − | 7.27646i | −0.116937 | − | 0.436413i | ||||
\(279\) | 1.19892 | − | 0.321250i | 0.0717774 | − | 0.0192327i | ||||
\(280\) | 16.9833 | − | 9.80531i | 1.01495 | − | 0.585979i | ||||
\(281\) | 0.789362 | − | 2.94594i | 0.0470894 | − | 0.175740i | −0.938376 | − | 0.345616i | \(-0.887670\pi\) |
0.985465 | + | 0.169876i | \(0.0543367\pi\) | |||||||
\(282\) | −1.41620 | + | 1.41620i | −0.0843333 | + | 0.0843333i | ||||
\(283\) | 13.0655 | 0.776661 | 0.388330 | − | 0.921520i | \(-0.373052\pi\) | ||||
0.388330 | + | 0.921520i | \(0.373052\pi\) | |||||||
\(284\) | −0.682335 | −0.0404891 | ||||||||
\(285\) | −1.66480 | + | 1.66480i | −0.0986140 | + | 0.0986140i | ||||
\(286\) | −16.2881 | − | 9.40393i | −0.963134 | − | 0.556066i | ||||
\(287\) | −11.7328 | − | 3.14379i | −0.692565 | − | 0.185572i | ||||
\(288\) | 0.758997 | + | 1.31462i | 0.0447243 | + | 0.0774648i | ||||
\(289\) | − | 40.6571i | − | 2.39159i | ||||||
\(290\) | 8.95905 | − | 15.5175i | 0.526093 | − | 0.911220i | ||||
\(291\) | 4.63935 | 0.271964 | ||||||||
\(292\) | −0.0207309 | − | 0.822332i | −0.00121318 | − | 0.0481233i | ||||
\(293\) | −1.83194 | −0.107023 | −0.0535116 | − | 0.998567i | \(-0.517041\pi\) | ||||
−0.0535116 | + | 0.998567i | \(0.517041\pi\) | |||||||
\(294\) | 1.45121 | − | 2.51357i | 0.0846363 | − | 0.146594i | ||||
\(295\) | 19.6265i | 1.14270i | ||||||||
\(296\) | −8.08171 | − | 13.9979i | −0.469740 | − | 0.813613i | ||||
\(297\) | −11.2796 | − | 3.02237i | −0.654511 | − | 0.175376i | ||||
\(298\) | 2.77600 | + | 1.60272i | 0.160809 | + | 0.0928433i | ||||
\(299\) | 5.14604 | − | 5.14604i | 0.297603 | − | 0.297603i | ||||
\(300\) | 0.0242020 | 0.00139730 | ||||||||
\(301\) | −23.0772 | −1.33015 | ||||||||
\(302\) | −6.73446 | + | 6.73446i | −0.387525 | + | 0.387525i | ||||
\(303\) | 0.494538 | − | 1.84564i | 0.0284105 | − | 0.106029i | ||||
\(304\) | −8.81317 | + | 5.08829i | −0.505470 | + | 0.291833i | ||||
\(305\) | −16.9705 | + | 4.54724i | −0.971729 | + | 0.260374i | ||||
\(306\) | 7.93761 | + | 29.6236i | 0.453763 | + | 1.69347i | ||||
\(307\) | 3.22203 | − | 12.0248i | 0.183891 | − | 0.686290i | −0.810974 | − | 0.585082i | \(-0.801062\pi\) |
0.994865 | − | 0.101208i | \(-0.0322709\pi\) | |||||||
\(308\) | 0.713785 | − | 1.23631i | 0.0406717 | − | 0.0704454i | ||||
\(309\) | −1.78377 | + | 1.78377i | −0.101475 | + | 0.101475i | ||||
\(310\) | −0.679631 | + | 1.17716i | −0.0386005 | + | 0.0668580i | ||||
\(311\) | −17.9777 | − | 10.3795i | −1.01942 | − | 0.588565i | −0.105487 | − | 0.994421i | \(-0.533640\pi\) |
−0.913937 | + | 0.405856i | \(0.866974\pi\) | |||||||
\(312\) | −0.966649 | − | 3.60758i | −0.0547257 | − | 0.204239i | ||||
\(313\) | 18.3211 | + | 18.3211i | 1.03557 | + | 1.03557i | 0.999344 | + | 0.0362275i | \(0.0115341\pi\) |
0.0362275 | + | 0.999344i | \(0.488466\pi\) | |||||||
\(314\) | 19.5189 | + | 19.5189i | 1.10152 | + | 1.10152i | ||||
\(315\) | −17.1885 | + | 9.92376i | −0.968460 | + | 0.559141i | ||||
\(316\) | 0.941724i | 0.0529761i | ||||||||
\(317\) | −0.249666 | − | 0.144145i | −0.0140226 | − | 0.00809596i | 0.492972 | − | 0.870045i | \(-0.335910\pi\) |
−0.506995 | + | 0.861949i | \(0.669244\pi\) | |||||||
\(318\) | 1.92232 | − | 7.17421i | 0.107799 | − | 0.402310i | ||||
\(319\) | 25.7916i | 1.44405i | ||||||||
\(320\) | 15.4459 | + | 4.13873i | 0.863455 | + | 0.231362i | ||||
\(321\) | −2.04724 | + | 0.548555i | −0.114266 | + | 0.0306174i | ||||
\(322\) | 8.50465 | + | 8.50465i | 0.473946 | + | 0.473946i | ||||
\(323\) | −17.8424 | + | 4.78087i | −0.992780 | + | 0.266015i | ||||
\(324\) | −0.344226 | − | 0.596217i | −0.0191237 | − | 0.0331232i | ||||
\(325\) | 1.56381 | + | 0.419021i | 0.0867445 | + | 0.0232431i | ||||
\(326\) | 4.46473 | + | 16.6626i | 0.247279 | + | 0.922857i | ||||
\(327\) | −1.42690 | + | 0.823820i | −0.0789076 | + | 0.0455573i | ||||
\(328\) | −4.96442 | − | 8.59862i | −0.274114 | − | 0.474780i | ||||
\(329\) | −5.08459 | − | 8.80677i | −0.280322 | − | 0.485533i | ||||
\(330\) | 5.33621 | − | 3.08086i | 0.293749 | − | 0.169596i | ||||
\(331\) | 4.21738 | + | 15.7395i | 0.231808 | + | 0.865119i | 0.979562 | + | 0.201143i | \(0.0644656\pi\) |
−0.747754 | + | 0.663976i | \(0.768868\pi\) | |||||||
\(332\) | 0.730210 | + | 0.195659i | 0.0400755 | + | 0.0107382i | ||||
\(333\) | 8.17934 | + | 14.1670i | 0.448225 | + | 0.776348i | ||||
\(334\) | 0.485960 | − | 0.130213i | 0.0265906 | − | 0.00712492i | ||||
\(335\) | −17.1892 | − | 17.1892i | −0.939146 | − | 0.939146i | ||||
\(336\) | 6.24978 | − | 1.67462i | 0.340954 | − | 0.0913583i | ||||
\(337\) | 13.2004 | + | 3.53702i | 0.719069 | + | 0.192674i | 0.599756 | − | 0.800183i | \(-0.295264\pi\) |
0.119313 | + | 0.992857i | \(0.461931\pi\) | |||||||
\(338\) | − | 6.18690i | − | 0.336523i | ||||||
\(339\) | 0.941622 | − | 3.51418i | 0.0511419 | − | 0.190864i | ||||
\(340\) | −1.33585 | − | 0.771251i | −0.0724464 | − | 0.0418269i | ||||
\(341\) | − | 1.95654i | − | 0.105953i | ||||||
\(342\) | 8.50907 | − | 4.91271i | 0.460118 | − | 0.265649i | ||||
\(343\) | −6.26995 | − | 6.26995i | −0.338546 | − | 0.338546i | ||||
\(344\) | −13.3385 | − | 13.3385i | −0.719165 | − | 0.719165i | ||||
\(345\) | 0.617088 | + | 2.30301i | 0.0332229 | + | 0.123990i | ||||
\(346\) | 12.5793 | + | 7.26264i | 0.676265 | + | 0.390442i | ||||
\(347\) | −5.74606 | + | 9.95247i | −0.308465 | + | 0.534277i | −0.978027 | − | 0.208480i | \(-0.933149\pi\) |
0.669562 | + | 0.742756i | \(0.266482\pi\) | |||||||
\(348\) | 0.183154 | − | 0.183154i | 0.00981809 | − | 0.00981809i | ||||
\(349\) | −4.28292 | + | 7.41824i | −0.229260 | + | 0.397089i | −0.957589 | − | 0.288138i | \(-0.906964\pi\) |
0.728329 | + | 0.685227i | \(0.240297\pi\) | |||||||
\(350\) | −0.692500 | + | 2.58444i | −0.0370157 | + | 0.138144i | ||||
\(351\) | 2.03044 | + | 7.57770i | 0.108377 | + | 0.404468i | ||||
\(352\) | 2.31130 | − | 0.619312i | 0.123193 | − | 0.0330094i | ||||
\(353\) | −6.00498 | + | 3.46697i | −0.319613 | + | 0.184528i | −0.651220 | − | 0.758889i | \(-0.725742\pi\) |
0.331607 | + | 0.943418i | \(0.392409\pi\) | |||||||
\(354\) | −1.59883 | + | 5.96693i | −0.0849770 | + | 0.317139i | ||||
\(355\) | 10.5739 | − | 10.5739i | 0.561203 | − | 0.561203i | ||||
\(356\) | 0.701979 | 0.0372048 | ||||||||
\(357\) | 11.7444 | 0.621578 | ||||||||
\(358\) | −26.4684 | + | 26.4684i | −1.39890 | + | 1.39890i | ||||
\(359\) | −3.05754 | − | 1.76527i | −0.161371 | − | 0.0931675i | 0.417140 | − | 0.908842i | \(-0.363033\pi\) |
−0.578511 | + | 0.815675i | \(0.696366\pi\) | |||||||
\(360\) | −15.6708 | − | 4.19897i | −0.825922 | − | 0.221305i | ||||
\(361\) | −6.54105 | − | 11.3294i | −0.344266 | − | 0.596286i | ||||
\(362\) | − | 2.52335i | − | 0.132624i | ||||||
\(363\) | −1.91187 | + | 3.31145i | −0.100347 | + | 0.173806i | ||||
\(364\) | −0.959047 | −0.0502677 | ||||||||
\(365\) | 13.0646 | + | 12.4221i | 0.683834 | + | 0.650203i | ||||
\(366\) | −5.52989 | −0.289052 | ||||||||
\(367\) | 9.85947 | − | 17.0771i | 0.514660 | − | 0.891418i | −0.485195 | − | 0.874406i | \(-0.661251\pi\) |
0.999855 | − | 0.0170116i | \(-0.00541523\pi\) | |||||||
\(368\) | 10.3057i | 0.537221i | ||||||||
\(369\) | 5.02439 | + | 8.70250i | 0.261559 | + | 0.453034i | ||||
\(370\) | −17.3041 | − | 4.63662i | −0.899597 | − | 0.241046i | ||||
\(371\) | 32.6594 | + | 18.8559i | 1.69559 | + | 0.978950i | ||||
\(372\) | −0.0138940 | + | 0.0138940i | −0.000720371 | + | 0.000720371i | ||||
\(373\) | 7.84876 | 0.406393 | 0.203197 | − | 0.979138i | \(-0.434867\pi\) | ||||
0.203197 | + | 0.979138i | \(0.434867\pi\) | |||||||
\(374\) | 48.3434 | 2.49978 | ||||||||
\(375\) | −3.79679 | + | 3.79679i | −0.196065 | + | 0.196065i | ||||
\(376\) | 2.15141 | − | 8.02916i | 0.110950 | − | 0.414072i | ||||
\(377\) | 15.0055 | − | 8.66344i | 0.772823 | − | 0.446190i | ||||
\(378\) | −12.5234 | + | 3.35562i | −0.644132 | + | 0.172595i | ||||
\(379\) | −7.94414 | − | 29.6480i | −0.408063 | − | 1.52291i | −0.798335 | − | 0.602213i | \(-0.794286\pi\) |
0.390272 | − | 0.920700i | \(-0.372381\pi\) | |||||||
\(380\) | −0.127903 | + | 0.477339i | −0.00656127 | + | 0.0244870i | ||||
\(381\) | 3.36213 | − | 5.82339i | 0.172247 | − | 0.298341i | ||||
\(382\) | −8.04241 | + | 8.04241i | −0.411486 | + | 0.411486i | ||||
\(383\) | 6.72602 | − | 11.6498i | 0.343683 | − | 0.595277i | −0.641430 | − | 0.767181i | \(-0.721659\pi\) |
0.985114 | + | 0.171904i | \(0.0549920\pi\) | |||||||
\(384\) | 4.79111 | + | 2.76615i | 0.244495 | + | 0.141159i | ||||
\(385\) | 8.09741 | + | 30.2199i | 0.412682 | + | 1.54015i | ||||
\(386\) | −0.958765 | − | 0.958765i | −0.0487999 | − | 0.0487999i | ||||
\(387\) | 13.4997 | + | 13.4997i | 0.686226 | + | 0.686226i | ||||
\(388\) | 0.843326 | − | 0.486895i | 0.0428134 | − | 0.0247183i | ||||
\(389\) | − | 27.9119i | − | 1.41519i | −0.706619 | − | 0.707594i | \(-0.749781\pi\) | ||
0.706619 | − | 0.707594i | \(-0.250219\pi\) | |||||||
\(390\) | −3.58489 | − | 2.06973i | −0.181528 | − | 0.104805i | ||||
\(391\) | −4.84152 | + | 18.0688i | −0.244846 | + | 0.913779i | ||||
\(392\) | 12.0461i | 0.608422i | ||||||||
\(393\) | −4.11410 | − | 1.10237i | −0.207529 | − | 0.0556072i | ||||
\(394\) | 13.7237 | − | 3.67725i | 0.691389 | − | 0.185257i | ||||
\(395\) | −14.5936 | − | 14.5936i | −0.734281 | − | 0.734281i | ||||
\(396\) | −1.14077 | + | 0.305667i | −0.0573257 | + | 0.0153604i | ||||
\(397\) | 3.91024 | + | 6.77274i | 0.196249 | + | 0.339914i | 0.947309 | − | 0.320320i | \(-0.103790\pi\) |
−0.751060 | + | 0.660234i | \(0.770457\pi\) | |||||||
\(398\) | −34.6471 | − | 9.28365i | −1.73670 | − | 0.465347i | ||||
\(399\) | −0.973832 | − | 3.63439i | −0.0487526 | − | 0.181947i | ||||
\(400\) | −1.98545 | + | 1.14630i | −0.0992726 | + | 0.0573151i | ||||
\(401\) | −6.96842 | − | 12.0697i | −0.347986 | − | 0.602730i | 0.637905 | − | 0.770115i | \(-0.279801\pi\) |
−0.985892 | + | 0.167385i | \(0.946468\pi\) | |||||||
\(402\) | −3.82565 | − | 6.62622i | −0.190806 | − | 0.330486i | ||||
\(403\) | −1.13831 | + | 0.657206i | −0.0567035 | + | 0.0327378i | ||||
\(404\) | −0.103802 | − | 0.387396i | −0.00516436 | − | 0.0192737i | ||||
\(405\) | 14.5737 | + | 3.90501i | 0.724172 | + | 0.194041i | ||||
\(406\) | 14.3177 | + | 24.7990i | 0.710576 | + | 1.23075i | ||||
\(407\) | 24.9078 | − | 6.67402i | 1.23463 | − | 0.330819i | ||||
\(408\) | 6.78821 | + | 6.78821i | 0.336067 | + | 0.336067i | ||||
\(409\) | −2.15198 | + | 0.576621i | −0.106409 | + | 0.0285121i | −0.311630 | − | 0.950203i | \(-0.600875\pi\) |
0.205222 | + | 0.978715i | \(0.434208\pi\) | |||||||
\(410\) | −10.6295 | − | 2.84817i | −0.524955 | − | 0.140661i | ||||
\(411\) | 9.43562i | 0.465425i | ||||||||
\(412\) | −0.137043 | + | 0.511452i | −0.00675164 | + | 0.0251975i | ||||
\(413\) | −27.1634 | − | 15.6828i | −1.33663 | − | 0.771701i | ||||
\(414\) | − | 9.95008i | − | 0.489020i | ||||||
\(415\) | −14.3479 | + | 8.28374i | −0.704309 | + | 0.406633i | ||||
\(416\) | −1.13669 | − | 1.13669i | −0.0557306 | − | 0.0557306i | ||||
\(417\) | 1.68754 | + | 1.68754i | 0.0826390 | + | 0.0826390i | ||||
\(418\) | −4.00858 | − | 14.9602i | −0.196066 | − | 0.731729i | ||||
\(419\) | 2.85611 | + | 1.64897i | 0.139530 | + | 0.0805577i | 0.568140 | − | 0.822932i | \(-0.307663\pi\) |
−0.428610 | + | 0.903490i | \(0.640997\pi\) | |||||||
\(420\) | 0.157099 | − | 0.272103i | 0.00766564 | − | 0.0132773i | ||||
\(421\) | 19.6541 | − | 19.6541i | 0.957884 | − | 0.957884i | −0.0412640 | − | 0.999148i | \(-0.513138\pi\) |
0.999148 | + | 0.0412640i | \(0.0131385\pi\) | |||||||
\(422\) | 8.67180 | − | 15.0200i | 0.422137 | − | 0.731162i | ||||
\(423\) | −2.17740 | + | 8.12615i | −0.105869 | + | 0.395107i | ||||
\(424\) | 7.97837 | + | 29.7757i | 0.387464 | + | 1.44603i | ||||
\(425\) | −4.01959 | + | 1.07705i | −0.194979 | + | 0.0522444i | ||||
\(426\) | 4.07610 | − | 2.35334i | 0.197488 | − | 0.114020i | ||||
\(427\) | 7.26707 | − | 27.1211i | 0.351678 | − | 1.31248i | ||||
\(428\) | −0.314569 | + | 0.314569i | −0.0152053 | + | 0.0152053i | ||||
\(429\) | 5.95842 | 0.287675 | ||||||||
\(430\) | −20.9072 | −1.00823 | ||||||||
\(431\) | 6.64639 | − | 6.64639i | 0.320146 | − | 0.320146i | −0.528677 | − | 0.848823i | \(-0.677312\pi\) |
0.848823 | + | 0.528677i | \(0.177312\pi\) | |||||||
\(432\) | −9.62085 | − | 5.55460i | −0.462883 | − | 0.267246i | ||||
\(433\) | −27.9256 | − | 7.48264i | −1.34202 | − | 0.359593i | −0.484836 | − | 0.874605i | \(-0.661121\pi\) |
−0.857183 | + | 0.515013i | \(0.827787\pi\) | |||||||
\(434\) | −1.08614 | − | 1.88125i | −0.0521363 | − | 0.0903028i | ||||
\(435\) | 5.67654i | 0.272169i | ||||||||
\(436\) | −0.172918 | + | 0.299502i | −0.00828126 | + | 0.0143436i | ||||
\(437\) | 5.99299 | 0.286684 | ||||||||
\(438\) | 2.96002 | + | 4.84091i | 0.141435 | + | 0.231308i | ||||
\(439\) | −31.1686 | −1.48760 | −0.743799 | − | 0.668403i | \(-0.766978\pi\) | ||||
−0.743799 | + | 0.668403i | \(0.766978\pi\) | |||||||
\(440\) | −12.7867 | + | 22.1473i | −0.609584 | + | 1.05583i | ||||
\(441\) | − | 12.1917i | − | 0.580555i | ||||||
\(442\) | −16.2386 | − | 28.1261i | −0.772393 | − | 1.33782i | ||||
\(443\) | 6.55398 | + | 1.75613i | 0.311389 | + | 0.0834364i | 0.411129 | − | 0.911577i | \(-0.365135\pi\) |
−0.0997402 | + | 0.995014i | \(0.531801\pi\) | |||||||
\(444\) | −0.224272 | − | 0.129484i | −0.0106435 | − | 0.00614502i | ||||
\(445\) | −10.8783 | + | 10.8783i | −0.515681 | + | 0.515681i | ||||
\(446\) | −38.6403 | −1.82967 | ||||||||
\(447\) | −1.01550 | −0.0480316 | ||||||||
\(448\) | −18.0704 | + | 18.0704i | −0.853746 | + | 0.853746i | ||||
\(449\) | −8.90972 | + | 33.2515i | −0.420476 | + | 1.56924i | 0.353133 | + | 0.935573i | \(0.385116\pi\) |
−0.773609 | + | 0.633664i | \(0.781550\pi\) | |||||||
\(450\) | 1.91694 | − | 1.10675i | 0.0903656 | − | 0.0521726i | ||||
\(451\) | 15.3003 | − | 4.09971i | 0.720464 | − | 0.193048i | ||||
\(452\) | −0.197644 | − | 0.737618i | −0.00929640 | − | 0.0346946i | ||||
\(453\) | 0.780919 | − | 2.91443i | 0.0366908 | − | 0.136932i | ||||
\(454\) | 1.63925 | − | 2.83927i | 0.0769340 | − | 0.133254i | ||||
\(455\) | 14.8620 | − | 14.8620i | 0.696741 | − | 0.696741i | ||||
\(456\) | 1.53779 | − | 2.66354i | 0.0720138 | − | 0.124732i | ||||
\(457\) | 20.7020 | + | 11.9523i | 0.968398 | + | 0.559105i | 0.898747 | − | 0.438467i | \(-0.144478\pi\) |
0.0696502 | + | 0.997571i | \(0.477812\pi\) | |||||||
\(458\) | −4.07090 | − | 15.1928i | −0.190221 | − | 0.709913i | ||||
\(459\) | −14.2586 | − | 14.2586i | −0.665534 | − | 0.665534i | ||||
\(460\) | 0.353870 | + | 0.353870i | 0.0164993 | + | 0.0164993i | ||||
\(461\) | 21.3722 | − | 12.3393i | 0.995405 | − | 0.574697i | 0.0885193 | − | 0.996074i | \(-0.471787\pi\) |
0.906885 | + | 0.421377i | \(0.138453\pi\) | |||||||
\(462\) | 9.84724i | 0.458135i | ||||||||
\(463\) | −4.51528 | − | 2.60690i | −0.209843 | − | 0.121153i | 0.391395 | − | 0.920223i | \(-0.371992\pi\) |
−0.601238 | + | 0.799070i | \(0.705326\pi\) | |||||||
\(464\) | −6.35046 | + | 23.7003i | −0.294813 | + | 1.10026i | ||||
\(465\) | − | 0.430621i | − | 0.0199696i | ||||||
\(466\) | 11.8176 | + | 3.16652i | 0.547440 | + | 0.146686i | ||||
\(467\) | 7.19433 | − | 1.92771i | 0.332914 | − | 0.0892040i | −0.0884901 | − | 0.996077i | \(-0.528204\pi\) |
0.421404 | + | 0.906873i | \(0.361537\pi\) | |||||||
\(468\) | 0.561022 | + | 0.561022i | 0.0259333 | + | 0.0259333i | ||||
\(469\) | 37.5255 | − | 10.0549i | 1.73277 | − | 0.464293i | ||||
\(470\) | −4.60647 | − | 7.97864i | −0.212481 | − | 0.368027i | ||||
\(471\) | −8.44707 | − | 2.26339i | −0.389220 | − | 0.104291i | ||||
\(472\) | −6.63576 | − | 24.7650i | −0.305436 | − | 1.13990i | ||||
\(473\) | 26.0622 | − | 15.0470i | 1.19834 | − | 0.691864i | ||||
\(474\) | −3.24796 | − | 5.62563i | −0.149184 | − | 0.258394i | ||||
\(475\) | 0.666600 | + | 1.15459i | 0.0305857 | + | 0.0529760i | ||||
\(476\) | 2.13485 | − | 1.23256i | 0.0978509 | − | 0.0564942i | ||||
\(477\) | −8.07474 | − | 30.1354i | −0.369717 | − | 1.37980i | ||||
\(478\) | 22.4945 | + | 6.02738i | 1.02887 | + | 0.275686i | ||||
\(479\) | 1.19867 | + | 2.07615i | 0.0547685 | + | 0.0948618i | 0.892110 | − | 0.451819i | \(-0.149225\pi\) |
−0.837341 | + | 0.546680i | \(0.815891\pi\) | |||||||
\(480\) | 0.508701 | − | 0.136306i | 0.0232189 | − | 0.00622149i | ||||
\(481\) | −12.2495 | − | 12.2495i | −0.558530 | − | 0.558530i | ||||
\(482\) | −20.5611 | + | 5.50934i | −0.936534 | + | 0.250944i | ||||
\(483\) | −3.68050 | − | 0.986187i | −0.167469 | − | 0.0448731i | ||||
\(484\) | 0.802593i | 0.0364815i | ||||||||
\(485\) | −5.52349 | + | 20.6139i | −0.250809 | + | 0.936030i | ||||
\(486\) | 14.1021 | + | 8.14185i | 0.639684 | + | 0.369322i | ||||
\(487\) | − | 12.8811i | − | 0.583698i | −0.956464 | − | 0.291849i | \(-0.905729\pi\) | ||
0.956464 | − | 0.291849i | \(-0.0942705\pi\) | |||||||
\(488\) | 19.8762 | − | 11.4756i | 0.899756 | − | 0.519474i | ||||
\(489\) | −3.86435 | − | 3.86435i | −0.174752 | − | 0.174752i | ||||
\(490\) | 9.44072 | + | 9.44072i | 0.426488 | + | 0.426488i | ||||
\(491\) | 6.57748 | + | 24.5475i | 0.296837 | + | 1.10781i | 0.939747 | + | 0.341870i | \(0.111060\pi\) |
−0.642910 | + | 0.765942i | \(0.722273\pi\) | |||||||
\(492\) | −0.137766 | − | 0.0795390i | −0.00621095 | − | 0.00358589i | ||||
\(493\) | −22.2683 | + | 38.5699i | −1.00292 | + | 1.73710i | ||||
\(494\) | −7.35736 | + | 7.35736i | −0.331023 | + | 0.331023i | ||||
\(495\) | 12.9412 | − | 22.4148i | 0.581664 | − | 1.00747i | ||||
\(496\) | 0.481745 | − | 1.79790i | 0.0216310 | − | 0.0807279i | ||||
\(497\) | 6.18526 | + | 23.0837i | 0.277447 | + | 1.03544i | ||||
\(498\) | −5.03692 | + | 1.34964i | −0.225710 | + | 0.0604787i | ||||
\(499\) | 9.21868 | − | 5.32241i | 0.412685 | − | 0.238264i | −0.279258 | − | 0.960216i | \(-0.590088\pi\) |
0.691943 | + | 0.721952i | \(0.256755\pi\) | |||||||
\(500\) | −0.291699 | + | 1.08864i | −0.0130452 | + | 0.0486853i | ||||
\(501\) | −0.112703 | + | 0.112703i | −0.00503518 | + | 0.00503518i | ||||
\(502\) | −6.48955 | −0.289643 | ||||||||
\(503\) | 16.5395 | 0.737458 | 0.368729 | − | 0.929537i | \(-0.379793\pi\) | ||||
0.368729 | + | 0.929537i | \(0.379793\pi\) | |||||||
\(504\) | 18.3334 | − | 18.3334i | 0.816636 | − | 0.816636i | ||||
\(505\) | 7.61191 | + | 4.39474i | 0.338726 | + | 0.195563i | ||||
\(506\) | −15.1500 | − | 4.05944i | −0.673502 | − | 0.180464i | ||||
\(507\) | 0.980020 | + | 1.69745i | 0.0435242 | + | 0.0753862i | ||||
\(508\) | − | 1.41141i | − | 0.0626211i | ||||||
\(509\) | −14.7969 | + | 25.6291i | −0.655863 | + | 1.13599i | 0.325814 | + | 0.945434i | \(0.394362\pi\) |
−0.981677 | + | 0.190554i | \(0.938972\pi\) | |||||||
\(510\) | 10.6400 | 0.471148 | ||||||||
\(511\) | −27.6319 | + | 8.15564i | −1.22236 | + | 0.360784i | ||||
\(512\) | −20.7845 | −0.918553 | ||||||||
\(513\) | −3.23012 | + | 5.59474i | −0.142613 | + | 0.247014i | ||||
\(514\) | − | 26.1996i | − | 1.15562i | ||||||
\(515\) | −5.80208 | − | 10.0495i | −0.255670 | − | 0.442834i | ||||
\(516\) | −0.291930 | − | 0.0782223i | −0.0128515 | − | 0.00344355i | ||||
\(517\) | 11.4846 | + | 6.63063i | 0.505091 | + | 0.291615i | ||||
\(518\) | 20.2443 | − | 20.2443i | 0.889482 | − | 0.889482i | ||||
\(519\) | −4.60168 | −0.201991 | ||||||||
\(520\) | 17.1804 | 0.753409 | ||||||||
\(521\) | 23.7152 | − | 23.7152i | 1.03898 | − | 1.03898i | 0.0397719 | − | 0.999209i | \(-0.487337\pi\) |
0.999209 | − | 0.0397719i | \(-0.0126631\pi\) | |||||||
\(522\) | 6.13134 | − | 22.8825i | 0.268361 | − | 1.00154i | ||||
\(523\) | −18.1084 | + | 10.4549i | −0.791826 | + | 0.457161i | −0.840605 | − | 0.541649i | \(-0.817800\pi\) |
0.0487790 | + | 0.998810i | \(0.484467\pi\) | |||||||
\(524\) | −0.863539 | + | 0.231385i | −0.0377239 | + | 0.0101081i | ||||
\(525\) | −0.219387 | − | 0.818764i | −0.00957485 | − | 0.0357338i | ||||
\(526\) | −10.4295 | + | 38.9236i | −0.454749 | + | 1.69715i | ||||
\(527\) | 1.68927 | − | 2.92590i | 0.0735858 | − | 0.127454i | ||||
\(528\) | −5.96630 | + | 5.96630i | −0.259650 | + | 0.259650i | ||||
\(529\) | −8.46549 | + | 14.6627i | −0.368065 | + | 0.637507i | ||||
\(530\) | 29.5883 | + | 17.0828i | 1.28523 | + | 0.742030i | ||||
\(531\) | 6.71592 | + | 25.0642i | 0.291446 | + | 1.08769i | ||||
\(532\) | −0.558445 | − | 0.558445i | −0.0242117 | − | 0.0242117i | ||||
\(533\) | −7.52461 | − | 7.52461i | −0.325927 | − | 0.325927i | ||||
\(534\) | −4.19345 | + | 2.42109i | −0.181468 | + | 0.104771i | ||||
\(535\) | − | 9.74953i | − | 0.421509i | ||||||
\(536\) | 27.5013 | + | 15.8779i | 1.18788 | + | 0.685821i | ||||
\(537\) | 3.06924 | − | 11.4546i | 0.132448 | − | 0.494301i | ||||
\(538\) | − | 13.7134i | − | 0.591229i | ||||||
\(539\) | −18.5631 | − | 4.97396i | −0.799569 | − | 0.214244i | ||||
\(540\) | −0.521085 | + | 0.139624i | −0.0224239 | + | 0.00600847i | ||||
\(541\) | 7.50859 | + | 7.50859i | 0.322819 | + | 0.322819i | 0.849848 | − | 0.527028i | \(-0.176694\pi\) |
−0.527028 | + | 0.849848i | \(0.676694\pi\) | |||||||
\(542\) | −38.3687 | + | 10.2809i | −1.64808 | + | 0.441601i | ||||
\(543\) | 0.399704 | + | 0.692308i | 0.0171529 | + | 0.0297098i | ||||
\(544\) | 3.99114 | + | 1.06942i | 0.171119 | + | 0.0458511i | ||||
\(545\) | −1.96163 | − | 7.32092i | −0.0840272 | − | 0.313594i | ||||
\(546\) | 5.72911 | − | 3.30770i | 0.245183 | − | 0.141557i | ||||
\(547\) | −3.27560 | − | 5.67350i | −0.140054 | − | 0.242581i | 0.787462 | − | 0.616363i | \(-0.211394\pi\) |
−0.927517 | + | 0.373781i | \(0.878061\pi\) | |||||||
\(548\) | 0.990257 | + | 1.71518i | 0.0423017 | + | 0.0732687i | ||||
\(549\) | −20.1164 | + | 11.6142i | −0.858545 | + | 0.495681i | ||||
\(550\) | −0.903064 | − | 3.37028i | −0.0385068 | − | 0.143709i | ||||
\(551\) | 13.7822 | + | 3.69294i | 0.587143 | + | 0.157324i | ||||
\(552\) | −1.55730 | − | 2.69733i | −0.0662833 | − | 0.114806i | ||||
\(553\) | 31.8590 | − | 8.53658i | 1.35478 | − | 0.363013i | ||||
\(554\) | 14.7750 | + | 14.7750i | 0.627731 | + | 0.627731i | ||||
\(555\) | 5.48202 | − | 1.46890i | 0.232699 | − | 0.0623515i | ||||
\(556\) | 0.483860 | + | 0.129650i | 0.0205202 | + | 0.00549838i | ||||
\(557\) | − | 6.26449i | − | 0.265435i | −0.991154 | − | 0.132717i | \(-0.957630\pi\) | ||
0.991154 | − | 0.132717i | \(-0.0423703\pi\) | |||||||
\(558\) | −0.465122 | + | 1.73586i | −0.0196902 | + | 0.0734848i | ||||
\(559\) | −17.5087 | − | 10.1087i | −0.740539 | − | 0.427551i | ||||
\(560\) | 29.7633i | 1.25773i | ||||||||
\(561\) | −13.2635 | + | 7.65771i | −0.559987 | + | 0.323309i | ||||
\(562\) | 3.12241 | + | 3.12241i | 0.131711 | + | 0.131711i | ||||
\(563\) | 22.6704 | + | 22.6704i | 0.955444 | + | 0.955444i | 0.999049 | − | 0.0436048i | \(-0.0138842\pi\) |
−0.0436048 | + | 0.999049i | \(0.513884\pi\) | |||||||
\(564\) | −0.0344694 | − | 0.128642i | −0.00145142 | − | 0.00541679i | ||||
\(565\) | 14.4934 | + | 8.36777i | 0.609742 | + | 0.352035i | ||||
\(566\) | −9.45843 | + | 16.3825i | −0.397567 | + | 0.688607i | ||||
\(567\) | −17.0499 | + | 17.0499i | −0.716030 | + | 0.716030i | ||||
\(568\) | −9.76724 | + | 16.9174i | −0.409824 | + | 0.709836i | ||||
\(569\) | 0.889757 | − | 3.32062i | 0.0373006 | − | 0.139208i | −0.944764 | − | 0.327750i | \(-0.893710\pi\) |
0.982065 | + | 0.188542i | \(0.0603763\pi\) | |||||||
\(570\) | −0.882260 | − | 3.29264i | −0.0369538 | − | 0.137913i | ||||
\(571\) | −39.5059 | + | 10.5856i | −1.65327 | + | 0.442993i | −0.960526 | − | 0.278190i | \(-0.910266\pi\) |
−0.692745 | + | 0.721182i | \(0.743599\pi\) | |||||||
\(572\) | 1.08310 | − | 0.625329i | 0.0452867 | − | 0.0261463i | ||||
\(573\) | 0.932587 | − | 3.48046i | 0.0389594 | − | 0.145398i | ||||
\(574\) | 12.4356 | − | 12.4356i | 0.519053 | − | 0.519053i | ||||
\(575\) | 1.35012 | 0.0563037 | ||||||||
\(576\) | 21.1416 | 0.880900 | ||||||||
\(577\) | −24.1649 | + | 24.1649i | −1.00600 | + | 1.00600i | −0.00601698 | + | 0.999982i | \(0.501915\pi\) |
−0.999982 | + | 0.00601698i | \(0.998085\pi\) | |||||||
\(578\) | 50.9790 | + | 29.4327i | 2.12045 | + | 1.22424i | ||||
\(579\) | 0.414919 | + | 0.111177i | 0.0172434 | + | 0.00462036i | ||||
\(580\) | 0.595746 | + | 1.03186i | 0.0247370 | + | 0.0428457i | ||||
\(581\) | − | 26.4770i | − | 1.09845i | ||||||
\(582\) | −3.35855 | + | 5.81718i | −0.139216 | + | 0.241130i | ||||
\(583\) | −49.1786 | −2.03677 | ||||||||
\(584\) | −20.6851 | − | 11.2572i | −0.855956 | − | 0.465828i | ||||
\(585\) | −17.3879 | −0.718901 | ||||||||
\(586\) | 1.32619 | − | 2.29703i | 0.0547844 | − | 0.0948894i | ||||
\(587\) | 16.6925i | 0.688973i | 0.938791 | + | 0.344487i | \(0.111947\pi\) | ||||
−0.938791 | + | 0.344487i | \(0.888053\pi\) | |||||||
\(588\) | 0.0965005 | + | 0.167144i | 0.00397962 | + | 0.00689290i | ||||
\(589\) | −1.04552 | − | 0.280145i | −0.0430798 | − | 0.0115432i | ||||
\(590\) | −24.6092 | − | 14.2081i | −1.01314 | − | 0.584939i | ||||
\(591\) | −3.18276 | + | 3.18276i | −0.130921 | + | 0.130921i | ||||
\(592\) | 24.5314 | 1.00824 | ||||||||
\(593\) | 5.00508 | 0.205534 | 0.102767 | − | 0.994705i | \(-0.467230\pi\) | ||||
0.102767 | + | 0.994705i | \(0.467230\pi\) | |||||||
\(594\) | 11.9553 | − | 11.9553i | 0.490532 | − | 0.490532i | ||||
\(595\) | −13.9825 | + | 52.1835i | −0.573228 | + | 2.13932i | ||||
\(596\) | −0.184594 | + | 0.106576i | −0.00756128 | + | 0.00436551i | ||||
\(597\) | 10.9764 | − | 2.94111i | 0.449232 | − | 0.120371i | ||||
\(598\) | 2.72715 | + | 10.1779i | 0.111521 | + | 0.416203i | ||||
\(599\) | 6.88261 | − | 25.6863i | 0.281216 | − | 1.04951i | −0.670345 | − | 0.742050i | \(-0.733854\pi\) |
0.951560 | − | 0.307462i | \(-0.0994796\pi\) | |||||||
\(600\) | 0.346438 | − | 0.600048i | 0.0141433 | − | 0.0244969i | ||||
\(601\) | 10.0533 | − | 10.0533i | 0.410082 | − | 0.410082i | −0.471685 | − | 0.881767i | \(-0.656354\pi\) |
0.881767 | + | 0.471685i | \(0.156354\pi\) | |||||||
\(602\) | 16.7062 | − | 28.9359i | 0.680893 | − | 1.17934i | ||||
\(603\) | −27.8335 | − | 16.0697i | −1.13347 | − | 0.654409i | ||||
\(604\) | −0.163913 | − | 0.611731i | −0.00666952 | − | 0.0248910i | ||||
\(605\) | −12.4375 | − | 12.4375i | −0.505655 | − | 0.505655i | ||||
\(606\) | 1.95620 | + | 1.95620i | 0.0794651 | + | 0.0794651i | ||||
\(607\) | 11.4604 | − | 6.61666i | 0.465163 | − | 0.268562i | −0.249050 | − | 0.968491i | \(-0.580118\pi\) |
0.714213 | + | 0.699929i | \(0.246785\pi\) | |||||||
\(608\) | − | 1.32377i | − | 0.0536858i | ||||||
\(609\) | −7.85645 | − | 4.53592i | −0.318359 | − | 0.183805i | ||||
\(610\) | 6.58373 | − | 24.5708i | 0.266567 | − | 0.994843i | ||||
\(611\) | − | 8.90895i | − | 0.360418i | ||||||
\(612\) | −1.96987 | − | 0.527824i | −0.0796271 | − | 0.0213360i | ||||
\(613\) | 3.87876 | − | 1.03931i | 0.156662 | − | 0.0419774i | −0.179636 | − | 0.983733i | \(-0.557492\pi\) |
0.336298 | + | 0.941756i | \(0.390825\pi\) | |||||||
\(614\) | 12.7451 | + | 12.7451i | 0.514349 | + | 0.514349i | ||||
\(615\) | 3.36749 | − | 0.902315i | 0.135790 | − | 0.0363849i | ||||
\(616\) | −20.4349 | − | 35.3942i | −0.823345 | − | 1.42607i | ||||
\(617\) | −13.8216 | − | 3.70350i | −0.556438 | − | 0.149097i | −0.0303688 | − | 0.999539i | \(-0.509668\pi\) |
−0.526070 | + | 0.850442i | \(0.676335\pi\) | |||||||
\(618\) | −0.945311 | − | 3.52795i | −0.0380260 | − | 0.141915i | ||||
\(619\) | 6.43882 | − | 3.71746i | 0.258798 | − | 0.149417i | −0.364988 | − | 0.931012i | \(-0.618927\pi\) |
0.623786 | + | 0.781595i | \(0.285594\pi\) | |||||||
\(620\) | −0.0451931 | − | 0.0782768i | −0.00181500 | − | 0.00314367i | ||||
\(621\) | 3.27111 | + | 5.66572i | 0.131265 | + | 0.227358i | ||||
\(622\) | 26.0291 | − | 15.0279i | 1.04367 | − | 0.602565i | ||||
\(623\) | −6.36333 | − | 23.7483i | −0.254942 | − | 0.951455i | ||||
\(624\) | 5.47527 | + | 1.46710i | 0.219186 | + | 0.0587308i | ||||
\(625\) | −10.9797 | − | 19.0174i | −0.439189 | − | 0.760698i | ||||
\(626\) | −36.2356 | + | 9.70929i | −1.44826 | + | 0.388061i | ||||
\(627\) | 3.46954 | + | 3.46954i | 0.138560 | + | 0.138560i | ||||
\(628\) | −1.77302 | + | 0.475079i | −0.0707512 | + | 0.0189577i | ||||
\(629\) | 43.0106 | + | 11.5246i | 1.71494 | + | 0.459518i | ||||
\(630\) | − | 28.7363i | − | 1.14488i | ||||||
\(631\) | 3.09427 | − | 11.5480i | 0.123181 | − | 0.459718i | −0.876587 | − | 0.481243i | \(-0.840185\pi\) |
0.999768 | + | 0.0215250i | \(0.00685216\pi\) | |||||||
\(632\) | 23.3485 | + | 13.4803i | 0.928753 | + | 0.536216i | ||||
\(633\) | 5.49454i | 0.218388i | ||||||||
\(634\) | 0.361479 | − | 0.208700i | 0.0143562 | − | 0.00828854i | ||||
\(635\) | 21.8721 | + | 21.8721i | 0.867966 | + | 0.867966i | ||||
\(636\) | 0.349232 | + | 0.349232i | 0.0138480 | + | 0.0138480i | ||||
\(637\) | 3.34153 | + | 12.4707i | 0.132396 | + | 0.494109i | ||||
\(638\) | −32.3395 | − | 18.6712i | −1.28033 | − | 0.739200i | ||||
\(639\) | 9.88523 | − | 17.1217i | 0.391054 | − | 0.677325i | ||||
\(640\) | −17.9949 | + | 17.9949i | −0.711312 | + | 0.711312i | ||||
\(641\) | −12.0797 | + | 20.9226i | −0.477119 | + | 0.826395i | −0.999656 | − | 0.0262221i | \(-0.991652\pi\) |
0.522537 | + | 0.852617i | \(0.324986\pi\) | |||||||
\(642\) | 0.794227 | − | 2.96409i | 0.0313456 | − | 0.116983i | ||||
\(643\) | −11.7270 | − | 43.7659i | −0.462470 | − | 1.72596i | −0.665145 | − | 0.746714i | \(-0.731630\pi\) |
0.202676 | − | 0.979246i | \(-0.435036\pi\) | |||||||
\(644\) | −0.772528 | + | 0.206998i | −0.0304419 | + | 0.00815688i | ||||
\(645\) | 5.73611 | − | 3.31174i | 0.225859 | − | 0.130400i | ||||
\(646\) | 6.92199 | − | 25.8332i | 0.272342 | − | 1.01639i | ||||
\(647\) | −26.1950 | + | 26.1950i | −1.02983 | + | 1.02983i | −0.0302903 | + | 0.999541i | \(0.509643\pi\) |
−0.999541 | + | 0.0302903i | \(0.990357\pi\) | |||||||
\(648\) | −19.7096 | −0.774267 | ||||||||
\(649\) | 40.9028 | 1.60557 | ||||||||
\(650\) | −1.65748 | + | 1.65748i | −0.0650119 | + | 0.0650119i | ||||
\(651\) | 0.595988 | + | 0.344094i | 0.0233586 | + | 0.0134861i | ||||
\(652\) | −1.10801 | − | 0.296889i | −0.0433929 | − | 0.0116271i | ||||
\(653\) | −15.9965 | − | 27.7067i | −0.625991 | − | 1.08425i | −0.988348 | − | 0.152208i | \(-0.951362\pi\) |
0.362358 | − | 0.932039i | \(-0.381972\pi\) | |||||||
\(654\) | − | 2.38554i | − | 0.0932820i | ||||||
\(655\) | 9.79626 | − | 16.9676i | 0.382772 | − | 0.662980i | ||||
\(656\) | 15.0691 | 0.588350 | ||||||||
\(657\) | 20.9350 | + | 11.3932i | 0.816751 | + | 0.444492i | ||||
\(658\) | 14.7235 | 0.573981 | ||||||||
\(659\) | −19.6482 | + | 34.0316i | −0.765384 | + | 1.32568i | 0.174659 | + | 0.984629i | \(0.444118\pi\) |
−0.940043 | + | 0.341055i | \(0.889216\pi\) | |||||||
\(660\) | 0.409734i | 0.0159489i | ||||||||
\(661\) | −8.62170 | − | 14.9332i | −0.335345 | − | 0.580835i | 0.648206 | − | 0.761465i | \(-0.275520\pi\) |
−0.983551 | + | 0.180630i | \(0.942186\pi\) | |||||||
\(662\) | −22.7884 | − | 6.10614i | −0.885697 | − | 0.237322i | ||||
\(663\) | 8.91049 | + | 5.14447i | 0.346055 | + | 0.199795i | ||||
\(664\) | 15.3036 | − | 15.3036i | 0.593895 | − | 0.593895i | ||||
\(665\) | 17.3080 | 0.671176 | ||||||||
\(666\) | −23.6850 | −0.917773 | ||||||||
\(667\) | 10.2173 | − | 10.2173i | 0.395615 | − | 0.395615i | ||||
\(668\) | −0.00865870 | + | 0.0323147i | −0.000335015 | + | 0.00125029i | ||||
\(669\) | 10.6014 | − | 6.12072i | 0.409873 | − | 0.236641i | ||||
\(670\) | 33.9968 | − | 9.10943i | 1.31341 | − | 0.351928i | ||||
\(671\) | 9.47673 | + | 35.3676i | 0.365845 | + | 1.36535i | ||||
\(672\) | −0.217835 | + | 0.812970i | −0.00840315 | + | 0.0313610i | ||||
\(673\) | −1.79378 | + | 3.10692i | −0.0691452 | + | 0.119763i | −0.898525 | − | 0.438922i | \(-0.855361\pi\) |
0.829380 | + | 0.558685i | \(0.188694\pi\) | |||||||
\(674\) | −13.9911 | + | 13.9911i | −0.538916 | + | 0.538916i | ||||
\(675\) | −0.727690 | + | 1.26040i | −0.0280088 | + | 0.0485127i | ||||
\(676\) | 0.356290 | + | 0.205704i | 0.0137034 | + | 0.00791169i | ||||
\(677\) | −5.35549 | − | 19.9870i | −0.205828 | − | 0.768162i | −0.989195 | − | 0.146602i | \(-0.953166\pi\) |
0.783367 | − | 0.621559i | \(-0.213500\pi\) | |||||||
\(678\) | 3.72469 | + | 3.72469i | 0.143046 | + | 0.143046i | ||||
\(679\) | −24.1165 | − | 24.1165i | −0.925506 | − | 0.925506i | ||||
\(680\) | −38.2438 | + | 22.0800i | −1.46658 | + | 0.846731i | ||||
\(681\) | 1.03865i | 0.0398010i | ||||||||
\(682\) | 2.45327 | + | 1.41639i | 0.0939404 | + | 0.0542365i | ||||
\(683\) | −3.53187 | + | 13.1811i | −0.135143 | + | 0.504362i | 0.864854 | + | 0.502024i | \(0.167411\pi\) |
−0.999997 | + | 0.00233834i | \(0.999256\pi\) | |||||||
\(684\) | 0.653357i | 0.0249817i | ||||||||
\(685\) | −41.9251 | − | 11.2338i | −1.60187 | − | 0.429221i | ||||
\(686\) | 12.4007 | − | 3.32277i | 0.473462 | − | 0.126864i | ||||
\(687\) | 3.52347 | + | 3.52347i | 0.134429 | + | 0.134429i | ||||
\(688\) | 27.6539 | − | 7.40984i | 1.05429 | − | 0.282497i | ||||
\(689\) | 16.5192 | + | 28.6120i | 0.629330 | + | 1.09003i | ||||
\(690\) | −3.33441 | − | 0.893453i | −0.126939 | − | 0.0340132i | ||||
\(691\) | −9.36583 | − | 34.9538i | −0.356293 | − | 1.32970i | −0.878850 | − | 0.477099i | \(-0.841688\pi\) |
0.522557 | − | 0.852605i | \(-0.324978\pi\) | |||||||
\(692\) | −0.836478 | + | 0.482941i | −0.0317981 | + | 0.0183586i | ||||
\(693\) | 20.6817 | + | 35.8218i | 0.785634 | + | 1.36076i | ||||
\(694\) | −8.31945 | − | 14.4097i | −0.315802 | − | 0.546985i | ||||
\(695\) | −9.50732 | + | 5.48906i | −0.360633 | + | 0.208212i | ||||
\(696\) | −1.91925 | − | 7.16275i | −0.0727491 | − | 0.271503i | ||||
\(697\) | 26.4205 | + | 7.07934i | 1.00075 | + | 0.268149i | ||||
\(698\) | −6.20104 | − | 10.7405i | −0.234713 | − | 0.406535i | ||||
\(699\) | −3.74387 | + | 1.00317i | −0.141606 | + | 0.0379433i | ||||
\(700\) | −0.125808 | − | 0.125808i | −0.00475509 | − | 0.00475509i | ||||
\(701\) | −6.18520 | + | 1.65732i | −0.233612 | + | 0.0625961i | −0.373726 | − | 0.927539i | \(-0.621920\pi\) |
0.140114 | + | 0.990135i | \(0.455253\pi\) | |||||||
\(702\) | −10.9714 | − | 2.93978i | −0.414089 | − | 0.110955i | ||||
\(703\) | − | 14.2656i | − | 0.538036i | ||||||
\(704\) | 8.62537 | − | 32.1903i | 0.325081 | − | 1.21322i | ||||
\(705\) | 2.52767 | + | 1.45935i | 0.0951976 | + | 0.0549624i | ||||
\(706\) | − | 10.0393i | − | 0.377835i | ||||||
\(707\) | −12.1648 | + | 7.02336i | −0.457505 | + | 0.264141i | ||||
\(708\) | −0.290463 | − | 0.290463i | −0.0109163 | − | 0.0109163i | ||||
\(709\) | −12.4125 | − | 12.4125i | −0.466160 | − | 0.466160i | 0.434508 | − | 0.900668i | \(-0.356922\pi\) |
−0.900668 | + | 0.434508i | \(0.856922\pi\) | |||||||
\(710\) | 5.60364 | + | 20.9131i | 0.210301 | + | 0.784853i | ||||
\(711\) | −23.6306 | − | 13.6431i | −0.886215 | − | 0.511656i | ||||
\(712\) | 10.0484 | − | 17.4044i | 0.376581 | − | 0.652258i | ||||
\(713\) | −0.775082 | + | 0.775082i | −0.0290271 | + | 0.0290271i | ||||
\(714\) | −8.50206 | + | 14.7260i | −0.318182 | + | 0.551107i | ||||
\(715\) | −7.09393 | + | 26.4749i | −0.265298 | + | 0.990105i | ||||
\(716\) | −0.644227 | − | 2.40429i | −0.0240759 | − | 0.0898524i | ||||
\(717\) | −7.12636 | + | 1.90950i | −0.266139 | + | 0.0713117i | ||||
\(718\) | 4.42687 | − | 2.55585i | 0.165209 | − | 0.0953836i | ||||
\(719\) | −4.67032 | + | 17.4299i | −0.174173 | + | 0.650024i | 0.822518 | + | 0.568740i | \(0.192569\pi\) |
−0.996691 | + | 0.0812843i | \(0.974098\pi\) | |||||||
\(720\) | 17.4109 | − | 17.4109i | 0.648866 | − | 0.648866i | ||||
\(721\) | 18.5449 | 0.690650 | ||||||||
\(722\) | 18.9409 | 0.704909 | ||||||||
\(723\) | 4.76848 | − | 4.76848i | 0.177342 | − | 0.177342i | ||||
\(724\) | 0.145314 | + | 0.0838969i | 0.00540054 | + | 0.00311800i | ||||
\(725\) | 3.10490 | + | 0.831954i | 0.115313 | + | 0.0308980i | ||||
\(726\) | −2.76810 | − | 4.79449i | −0.102734 | − | 0.177940i | ||||
\(727\) | 6.39423i | 0.237149i | 0.992945 | + | 0.118574i | \(0.0378324\pi\) | ||||
−0.992945 | + | 0.118574i | \(0.962168\pi\) | |||||||
\(728\) | −13.7282 | + | 23.7780i | −0.508802 | + | 0.881270i | ||||
\(729\) | 16.2934 | 0.603460 | ||||||||
\(730\) | −25.0336 | + | 7.38874i | −0.926536 | + | 0.273470i | ||||
\(731\) | 51.9662 | 1.92204 | ||||||||
\(732\) | 0.183859 | − | 0.318454i | 0.00679563 | − | 0.0117704i | ||||
\(733\) | 50.5359i | 1.86659i | 0.359114 | + | 0.933294i | \(0.383079\pi\) | ||||
−0.359114 | + | 0.933294i | \(0.616921\pi\) | |||||||
\(734\) | 14.2751 | + | 24.7251i | 0.526902 | + | 0.912621i | ||||
\(735\) | −4.08560 | − | 1.09473i | −0.150700 | − | 0.0403798i | ||||
\(736\) | −1.16096 | − | 0.670280i | −0.0427935 | − | 0.0247069i | ||||
\(737\) | −35.8233 | + | 35.8233i | −1.31957 | + | 1.31957i | ||||
\(738\) | −14.5491 | −0.535562 | ||||||||
\(739\) | −36.6513 | −1.34824 | −0.674120 | − | 0.738622i | \(-0.735477\pi\) | ||||
−0.674120 | + | 0.738622i | \(0.735477\pi\) | |||||||
\(740\) | 0.842344 | − | 0.842344i | 0.0309652 | − | 0.0309652i | ||||
\(741\) | 0.853149 | − | 3.18400i | 0.0313412 | − | 0.116967i | ||||
\(742\) | −47.2860 | + | 27.3006i | −1.73592 | + | 1.00224i | ||||
\(743\) | 21.7572 | − | 5.82983i | 0.798195 | − | 0.213876i | 0.163403 | − | 0.986559i | \(-0.447753\pi\) |
0.634791 | + | 0.772684i | \(0.281086\pi\) | |||||||
\(744\) | 0.145594 | + | 0.543364i | 0.00533774 | + | 0.0199207i | ||||
\(745\) | 1.20903 | − | 4.51215i | 0.0442953 | − | 0.165312i | ||||
\(746\) | −5.68192 | + | 9.84138i | −0.208030 | + | 0.360319i | ||||
\(747\) | −15.4885 | + | 15.4885i | −0.566694 | + | 0.566694i | ||||
\(748\) | −1.60733 | + | 2.78398i | −0.0587700 | + | 0.101793i | ||||
\(749\) | 13.4935 | + | 7.79050i | 0.493043 | + | 0.284659i | ||||
\(750\) | −2.01211 | − | 7.50930i | −0.0734719 | − | 0.274201i | ||||
\(751\) | 9.31701 | + | 9.31701i | 0.339983 | + | 0.339983i | 0.856361 | − | 0.516378i | \(-0.172720\pi\) |
−0.516378 | + | 0.856361i | \(0.672720\pi\) | |||||||
\(752\) | 8.92074 | + | 8.92074i | 0.325306 | + | 0.325306i | ||||
\(753\) | 1.78048 | − | 1.02796i | 0.0648842 | − | 0.0374609i | ||||
\(754\) | 25.0868i | 0.913606i | ||||||||
\(755\) | 12.0199 | + | 6.93968i | 0.437448 | + | 0.252561i | ||||
\(756\) | 0.223138 | − | 0.832761i | 0.00811543 | − | 0.0302872i | ||||
\(757\) | 38.2841i | 1.39146i | 0.718304 | + | 0.695729i | \(0.244919\pi\) | ||||
−0.718304 | + | 0.695729i | \(0.755081\pi\) | |||||||
\(758\) | 42.9259 | + | 11.5020i | 1.55914 | + | 0.417770i | ||||
\(759\) | 4.79961 | − | 1.28605i | 0.174215 | − | 0.0466807i | ||||
\(760\) | 10.0040 | + | 10.0040i | 0.362883 | + | 0.362883i | ||||
\(761\) | 3.68775 | − | 0.988129i | 0.133681 | − | 0.0358197i | −0.191358 | − | 0.981520i | \(-0.561289\pi\) |
0.325039 | + | 0.945701i | \(0.394623\pi\) | |||||||
\(762\) | 4.86788 | + | 8.43141i | 0.176345 | + | 0.305438i | ||||
\(763\) | 11.6998 | + | 3.13495i | 0.423560 | + | 0.113493i | ||||
\(764\) | −0.195748 | − | 0.730541i | −0.00708191 | − | 0.0264300i | ||||
\(765\) | 38.7058 | − | 22.3468i | 1.39941 | − | 0.807949i | ||||
\(766\) | 9.73828 | + | 16.8672i | 0.351858 | + | 0.609437i | ||||
\(767\) | −13.7393 | − | 23.7972i | −0.496098 | − | 0.859267i | ||||
\(768\) | −0.915778 | + | 0.528725i | −0.0330453 | + | 0.0190787i | ||||
\(769\) | −2.63259 | − | 9.82497i | −0.0949338 | − | 0.354298i | 0.902076 | − | 0.431578i | \(-0.142043\pi\) |
−0.997009 | + | 0.0772804i | \(0.975376\pi\) | |||||||
\(770\) | −43.7540 | − | 11.7238i | −1.57678 | − | 0.422498i | ||||
\(771\) | 4.15008 | + | 7.18815i | 0.149461 | + | 0.258875i | ||||
\(772\) | 0.0870904 | − | 0.0233358i | 0.00313445 | − | 0.000839874i | ||||
\(773\) | −15.5945 | − | 15.5945i | −0.560896 | − | 0.560896i | 0.368666 | − | 0.929562i | \(-0.379815\pi\) |
−0.929562 | + | 0.368666i | \(0.879815\pi\) | |||||||
\(774\) | −26.6997 | + | 7.15416i | −0.959700 | + | 0.257151i | ||||
\(775\) | −0.235537 | − | 0.0631119i | −0.00846073 | − | 0.00226704i | ||||
\(776\) | − | 27.8785i | − | 1.00078i | ||||||
\(777\) | −2.34750 | + | 8.76098i | −0.0842160 | + | 0.314298i | ||||
\(778\) | 34.9980 | + | 20.2061i | 1.25474 | + | 0.724425i | ||||
\(779\) | − | 8.76303i | − | 0.313968i | ||||||
\(780\) | 0.238383 | − | 0.137630i | 0.00853547 | − | 0.00492795i | ||||
\(781\) | −22.0366 | − | 22.0366i | −0.788532 | − | 0.788532i | ||||
\(782\) | −19.1512 | − | 19.1512i | −0.684844 | − | 0.684844i | ||||
\(783\) | 4.03137 | + | 15.0453i | 0.144070 | + | 0.537675i | ||||
\(784\) | −15.8332 | − | 9.14129i | −0.565471 | − | 0.326475i | ||||
\(785\) | 20.1137 | − | 34.8379i | 0.717889 | − | 1.24342i | ||||
\(786\) | 4.36054 | − | 4.36054i | 0.155535 | − | 0.155535i | ||||
\(787\) | 3.40182 | − | 5.89212i | 0.121262 | − | 0.210031i | −0.799004 | − | 0.601326i | \(-0.794639\pi\) |
0.920265 | + | 0.391295i | \(0.127973\pi\) | |||||||
\(788\) | −0.244524 | + | 0.912577i | −0.00871082 | + | 0.0325092i | ||||
\(789\) | −3.30413 | − | 12.3312i | −0.117630 | − | 0.439001i | ||||
\(790\) | 28.8632 | − | 7.73386i | 1.02691 | − | 0.275159i | ||||
\(791\) | −23.1623 | + | 13.3728i | −0.823558 | + | 0.475481i | ||||
\(792\) | −8.75092 | + | 32.6589i | −0.310950 | + | 1.16048i | ||||
\(793\) | 17.3936 | − | 17.3936i | 0.617665 | − | 0.617665i | ||||
\(794\) | −11.3229 | −0.401835 | ||||||||
\(795\) | −10.8238 | −0.383882 | ||||||||
\(796\) | 1.68658 | − | 1.68658i | 0.0597792 | − | 0.0597792i | ||||
\(797\) | 23.4686 | + | 13.5496i | 0.831300 | + | 0.479951i | 0.854298 | − | 0.519784i | \(-0.173988\pi\) |
−0.0229975 | + | 0.999736i | \(0.507321\pi\) | |||||||
\(798\) | 5.26206 | + | 1.40997i | 0.186275 | + | 0.0499122i | ||||
\(799\) | 11.4497 | + | 19.8315i | 0.405062 | + | 0.701587i | ||||
\(800\) | − | 0.298221i | − | 0.0105437i | ||||||
\(801\) | −10.1698 | + | 17.6147i | −0.359333 | + | 0.622383i | ||||
\(802\) | 20.1785 | 0.712527 | ||||||||
\(803\) | 25.8884 | − | 27.2275i | 0.913583 | − | 0.960837i | ||||
\(804\) | 0.508785 | 0.0179435 | ||||||||
\(805\) | 8.76381 | − | 15.1794i | 0.308884 | − | 0.535002i | ||||
\(806\) | − | 1.90308i | − | 0.0670330i | ||||||
\(807\) | 2.17224 | + | 3.76243i | 0.0764666 | + | 0.132444i | ||||
\(808\) | −11.0907 | − | 2.97175i | −0.390170 | − | 0.104546i | ||||
\(809\) | −20.7452 | − | 11.9773i | −0.729363 | − | 0.421098i | 0.0888260 | − | 0.996047i | \(-0.471688\pi\) |
−0.818189 | + | 0.574949i | \(0.805022\pi\) | |||||||
\(810\) | −15.4467 | + | 15.4467i | −0.542741 | + | 0.542741i | ||||
\(811\) | 16.7236 | 0.587246 | 0.293623 | − | 0.955921i | \(-0.405139\pi\) | ||||
0.293623 | + | 0.955921i | \(0.405139\pi\) | |||||||
\(812\) | −1.90416 | −0.0668228 | ||||||||
\(813\) | 8.89836 | − | 8.89836i | 0.312079 | − | 0.312079i | ||||
\(814\) | −9.66300 | + | 36.0628i | −0.338688 | + | 1.26400i | ||||
\(815\) | 21.7711 | − | 12.5696i | 0.762610 | − | 0.440293i | ||||
\(816\) | −14.0735 | + | 3.77100i | −0.492673 | + | 0.132011i | ||||
\(817\) | −4.30899 | − | 16.0814i | −0.150752 | − | 0.562616i | ||||
\(818\) | 0.834862 | − | 3.11575i | 0.0291903 | − | 0.108940i | ||||
\(819\) | 13.8941 | − | 24.0652i | 0.485498 | − | 0.840907i | ||||
\(820\) | 0.517433 | − | 0.517433i | 0.0180696 | − | 0.0180696i | ||||
\(821\) | 3.68494 | − | 6.38251i | 0.128605 | − | 0.222751i | −0.794531 | − | 0.607223i | \(-0.792283\pi\) |
0.923136 | + | 0.384472i | \(0.125617\pi\) | |||||||
\(822\) | −11.8311 | − | 6.83069i | −0.412657 | − | 0.238248i | ||||
\(823\) | 5.89130 | + | 21.9866i | 0.205358 | + | 0.766406i | 0.989340 | + | 0.145623i | \(0.0465186\pi\) |
−0.783982 | + | 0.620783i | \(0.786815\pi\) | |||||||
\(824\) | 10.7189 | + | 10.7189i | 0.373411 | + | 0.373411i | ||||
\(825\) | 0.781626 | + | 0.781626i | 0.0272127 | + | 0.0272127i | ||||
\(826\) | 39.3287 | − | 22.7064i | 1.36842 | − | 0.790057i | ||||
\(827\) | − | 43.1859i | − | 1.50172i | −0.660461 | − | 0.750860i | \(-0.729639\pi\) | ||
0.660461 | − | 0.750860i | \(-0.270361\pi\) | |||||||
\(828\) | 0.573003 | + | 0.330823i | 0.0199132 | + | 0.0114969i | ||||
\(829\) | −7.66244 | + | 28.5966i | −0.266128 | + | 0.993202i | 0.695429 | + | 0.718595i | \(0.255214\pi\) |
−0.961557 | + | 0.274607i | \(0.911452\pi\) | |||||||
\(830\) | − | 23.9873i | − | 0.832610i | ||||||
\(831\) | −6.39410 | − | 1.71329i | −0.221809 | − | 0.0594335i | ||||
\(832\) | −21.6256 | + | 5.79455i | −0.749731 | + | 0.200890i | ||||
\(833\) | −23.4656 | − | 23.4656i | −0.813034 | − | 0.813034i | ||||
\(834\) | −3.33761 | + | 0.894311i | −0.115572 | + | 0.0309675i | ||||
\(835\) | −0.366588 | − | 0.634949i | −0.0126863 | − | 0.0219733i | ||||
\(836\) | 0.994805 | + | 0.266557i | 0.0344060 | + | 0.00921907i | ||||
\(837\) | −0.305819 | − | 1.14133i | −0.0105707 | − | 0.0394502i | ||||
\(838\) | −4.13522 | + | 2.38747i | −0.142849 | + | 0.0824739i | ||||
\(839\) | −6.72795 | − | 11.6532i | −0.232275 | − | 0.402311i | 0.726203 | − | 0.687481i | \(-0.241283\pi\) |
−0.958477 | + | 0.285169i | \(0.907950\pi\) | |||||||
\(840\) | −4.49757 | − | 7.79001i | −0.155181 | − | 0.268781i | ||||
\(841\) | 4.67825 | − | 2.70099i | 0.161319 | − | 0.0931376i | ||||
\(842\) | 10.4157 | + | 38.8720i | 0.358950 | + | 1.33962i | ||||
\(843\) | −1.35126 | − | 0.362070i | −0.0465400 | − | 0.0124703i | ||||
\(844\) | 0.576645 | + | 0.998778i | 0.0198489 | + | 0.0343794i | ||||
\(845\) | −8.70900 | + | 2.33357i | −0.299599 | + | 0.0802773i | ||||
\(846\) | −8.61292 | − | 8.61292i | −0.296118 | − | 0.296118i | ||||
\(847\) | 27.1521 | − | 7.27538i | 0.932956 | − | 0.249985i | ||||
\(848\) | −45.1909 | − | 12.1089i | −1.55186 | − | 0.415820i | ||||
\(849\) | − | 5.99295i | − | 0.205678i | ||||||
\(850\) | 1.55940 | − | 5.81977i | 0.0534871 | − | 0.199616i | ||||
\(851\) | −12.5111 | − | 7.22328i | −0.428875 | − | 0.247611i | ||||
\(852\) | 0.312978i | 0.0107224i | ||||||||
\(853\) | 26.8453 | − | 15.4991i | 0.919166 | − | 0.530681i | 0.0357968 | − | 0.999359i | \(-0.488603\pi\) |
0.883369 | + | 0.468679i | \(0.155270\pi\) | |||||||
\(854\) | 28.7457 | + | 28.7457i | 0.983657 | + | 0.983657i | ||||
\(855\) | −10.1248 | − | 10.1248i | −0.346262 | − | 0.346262i | ||||
\(856\) | 3.29634 | + | 12.3021i | 0.112667 | + | 0.420478i | ||||
\(857\) | −30.4026 | − | 17.5529i | −1.03853 | − | 0.599596i | −0.119114 | − | 0.992881i | \(-0.538006\pi\) |
−0.919417 | + | 0.393284i | \(0.871339\pi\) | |||||||
\(858\) | −4.31346 | + | 7.47112i | −0.147259 | + | 0.255060i | ||||
\(859\) | −14.9531 | + | 14.9531i | −0.510194 | + | 0.510194i | −0.914586 | − | 0.404392i | \(-0.867483\pi\) |
0.404392 | + | 0.914586i | \(0.367483\pi\) | |||||||
\(860\) | 0.695127 | − | 1.20400i | 0.0237036 | − | 0.0410559i | ||||
\(861\) | −1.44202 | + | 5.38168i | −0.0491438 | + | 0.183407i | ||||
\(862\) | 3.52226 | + | 13.1453i | 0.119969 | + | 0.447729i | ||||
\(863\) | −27.9133 | + | 7.47935i | −0.950180 | + | 0.254600i | −0.700439 | − | 0.713713i | \(-0.747012\pi\) |
−0.249741 | + | 0.968313i | \(0.580346\pi\) | |||||||
\(864\) | 1.25148 | − | 0.722540i | 0.0425761 | − | 0.0245813i | ||||
\(865\) | 5.47863 | − | 20.4465i | 0.186279 | − | 0.695203i | ||||
\(866\) | 29.5984 | − | 29.5984i | 1.00579 | − | 1.00579i | ||||
\(867\) | −18.6489 | −0.633348 | ||||||||
\(868\) | 0.144449 | 0.00490292 | ||||||||
\(869\) | −30.4139 | + | 30.4139i | −1.03172 | + | 1.03172i | ||||
\(870\) | −7.11768 | − | 4.10939i | −0.241312 | − | 0.139322i | ||||
\(871\) | 32.8751 | + | 8.80886i | 1.11393 | + | 0.298477i | ||||
\(872\) | 4.95044 | + | 8.57442i | 0.167643 | + | 0.290367i | ||||
\(873\) | 28.2153i | 0.954943i | ||||||||
\(874\) | −4.33848 | + | 7.51447i | −0.146751 | + | 0.254181i | ||||
\(875\) | 39.4732 | 1.33444 | ||||||||
\(876\) | −0.377193 | + | 0.00950899i | −0.0127442 | + | 0.000321279i | ||||
\(877\) | 22.0797 | 0.745578 | 0.372789 | − | 0.927916i | \(-0.378402\pi\) | ||||
0.372789 | + | 0.927916i | \(0.378402\pi\) | |||||||
\(878\) | 22.5638 | − | 39.0816i | 0.761491 | − | 1.31894i | ||||
\(879\) | 0.840287i | 0.0283422i | ||||||||
\(880\) | −19.4066 | − | 33.6132i | −0.654196 | − | 1.13310i | ||||
\(881\) | 13.2230 | + | 3.54310i | 0.445495 | + | 0.119370i | 0.474591 | − | 0.880207i | \(-0.342596\pi\) |
−0.0290957 | + | 0.999577i | \(0.509263\pi\) | |||||||
\(882\) | 15.2868 | + | 8.82587i | 0.514735 | + | 0.297182i | ||||
\(883\) | 6.14823 | − | 6.14823i | 0.206904 | − | 0.206904i | −0.596046 | − | 0.802950i | \(-0.703262\pi\) |
0.802950 | + | 0.596046i | \(0.203262\pi\) | |||||||
\(884\) | 2.15963 | 0.0726361 | ||||||||
\(885\) | 9.00240 | 0.302612 | ||||||||
\(886\) | −6.94657 | + | 6.94657i | −0.233375 | + | 0.233375i | ||||
\(887\) | 9.50169 | − | 35.4608i | 0.319035 | − | 1.19066i | −0.601138 | − | 0.799145i | \(-0.705286\pi\) |
0.920173 | − | 0.391511i | \(-0.128048\pi\) | |||||||
\(888\) | −6.42066 | + | 3.70697i | −0.215463 | + | 0.124398i | ||||
\(889\) | −47.7486 | + | 12.7942i | −1.60144 | + | 0.429103i | ||||
\(890\) | −5.76497 | − | 21.5152i | −0.193242 | − | 0.721190i | ||||
\(891\) | 8.13828 | − | 30.3725i | 0.272643 | − | 1.01752i | ||||
\(892\) | 1.28472 | − | 2.22521i | 0.0430157 | − | 0.0745054i | ||||
\(893\) | 5.18761 | − | 5.18761i | 0.173597 | − | 0.173597i | ||||
\(894\) | 0.735148 | − | 1.27331i | 0.0245870 | − | 0.0425860i | ||||
\(895\) | 47.2417 | + | 27.2750i | 1.57912 | + | 0.911703i | ||||
\(896\) | −10.5262 | − | 39.2845i | −0.351657 | − | 1.31240i | ||||
\(897\) | −2.36042 | − | 2.36042i | −0.0788121 | − | 0.0788121i | ||||
\(898\) | −35.2434 | − | 35.2434i | −1.17609 | − | 1.17609i | ||||
\(899\) | −2.26009 | + | 1.30486i | −0.0753782 | + | 0.0435196i | ||||
\(900\) | 0.147190i | 0.00490633i | ||||||||
\(901\) | −73.5439 | − | 42.4606i | −2.45010 | − | 1.41457i | ||||
\(902\) | −5.93577 | + | 22.1526i | −0.197640 | + | 0.737601i | ||||
\(903\) | 10.5852i | 0.352253i | ||||||||
\(904\) | −21.1172 | − | 5.65833i | −0.702347 | − | 0.188193i | ||||
\(905\) | −3.55199 | + | 0.951753i | −0.118072 | + | 0.0316373i | ||||
\(906\) | 3.08901 | + | 3.08901i | 0.102625 | + | 0.102625i | ||||
\(907\) | −44.0700 | + | 11.8085i | −1.46332 | + | 0.392095i | −0.900635 | − | 0.434576i | \(-0.856898\pi\) |
−0.562685 | + | 0.826671i | \(0.690232\pi\) | |||||||
\(908\) | 0.109005 | + | 0.188802i | 0.00361745 | + | 0.00626560i | ||||
\(909\) | 11.2247 | + | 3.00765i | 0.372299 | + | 0.0997573i | ||||
\(910\) | 7.87612 | + | 29.3941i | 0.261091 | + | 0.974405i | ||||
\(911\) | −5.63714 | + | 3.25460i | −0.186767 | + | 0.107830i | −0.590468 | − | 0.807061i | \(-0.701057\pi\) |
0.403701 | + | 0.914891i | \(0.367723\pi\) | |||||||
\(912\) | 2.33393 | + | 4.04248i | 0.0772841 | + | 0.133860i | ||||
\(913\) | 17.2638 | + | 29.9018i | 0.571349 | + | 0.989606i | ||||
\(914\) | −29.9734 | + | 17.3052i | −0.991432 | + | 0.572404i | ||||
\(915\) | 2.08576 | + | 7.78415i | 0.0689530 | + | 0.257336i | ||||
\(916\) | 1.01027 | + | 0.270701i | 0.0333802 | + | 0.00894421i | ||||
\(917\) | 15.6557 | + | 27.1165i | 0.516997 | + | 0.895464i | ||||
\(918\) | 28.2007 | − | 7.55635i | 0.930761 | − | 0.249397i | ||||
\(919\) | −20.8290 | − | 20.8290i | −0.687086 | − | 0.687086i | 0.274501 | − | 0.961587i | \(-0.411487\pi\) |
−0.961587 | + | 0.274501i | \(0.911487\pi\) | |||||||
\(920\) | 13.8391 | − | 3.70817i | 0.456261 | − | 0.122255i | ||||
\(921\) | −5.51560 | − | 1.47790i | −0.181745 | − | 0.0486985i | ||||
\(922\) | 35.7309i | 1.17673i | ||||||||
\(923\) | −5.41874 | + | 20.2230i | −0.178360 | + | 0.665649i | ||||
\(924\) | −0.567080 | − | 0.327404i | −0.0186556 | − | 0.0107708i | ||||
\(925\) | − | 3.21378i | − | 0.105669i | ||||||
\(926\) | 6.53746 | − | 3.77441i | 0.214834 | − | 0.124035i | ||||
\(927\) | −10.8484 | − | 10.8484i | −0.356308 | − | 0.356308i | ||||
\(928\) | −2.25685 | − | 2.25685i | −0.0740849 | − | 0.0740849i | ||||
\(929\) | −0.289063 | − | 1.07880i | −0.00948386 | − | 0.0353943i | 0.961022 | − | 0.276473i | \(-0.0891655\pi\) |
−0.970506 | + | 0.241078i | \(0.922499\pi\) | |||||||
\(930\) | 0.539946 | + | 0.311738i | 0.0177055 | + | 0.0102223i | ||||
\(931\) | −5.31587 | + | 9.20735i | −0.174221 | + | 0.301759i | ||||
\(932\) | −0.575267 | + | 0.575267i | −0.0188435 | + | 0.0188435i | ||||
\(933\) | −4.76092 | + | 8.24615i | −0.155865 | + | 0.269967i | ||||
\(934\) | −2.79105 | + | 10.4163i | −0.0913258 | + | 0.340833i | ||||
\(935\) | −18.2341 | − | 68.0506i | −0.596319 | − | 2.22549i | ||||
\(936\) | 21.9403 | − | 5.87890i | 0.717142 | − | 0.192158i | ||||
\(937\) | −7.22284 | + | 4.17011i | −0.235960 | + | 0.136231i | −0.613318 | − | 0.789836i | \(-0.710166\pi\) |
0.377359 | + | 0.926067i | \(0.376832\pi\) | |||||||
\(938\) | −14.5580 | + | 54.3314i | −0.475337 | + | 1.77398i | ||||
\(939\) | 8.40365 | − | 8.40365i | 0.274243 | − | 0.274243i | ||||
\(940\) | 0.612629 | 0.0199818 | ||||||||
\(941\) | −44.2258 | −1.44172 | −0.720860 | − | 0.693081i | \(-0.756253\pi\) | ||||
−0.720860 | + | 0.693081i | \(0.756253\pi\) | |||||||
\(942\) | 8.95306 | − | 8.95306i | 0.291707 | − | 0.291707i | ||||
\(943\) | −7.68529 | − | 4.43710i | −0.250267 | − | 0.144492i | ||||
\(944\) | 37.5861 | + | 10.0712i | 1.22332 | + | 0.327789i | ||||
\(945\) | 9.44710 | + | 16.3629i | 0.307314 | + | 0.532284i | ||||
\(946\) | 43.5718i | 1.41664i | ||||||||
\(947\) | 1.26277 | − | 2.18718i | 0.0410345 | − | 0.0710738i | −0.844779 | − | 0.535116i | \(-0.820268\pi\) |
0.885813 | + | 0.464042i | \(0.153601\pi\) | |||||||
\(948\) | 0.431956 | 0.0140293 | ||||||||
\(949\) | −24.5369 | − | 5.91610i | −0.796501 | − | 0.192045i | ||||
\(950\) | −1.93028 | −0.0626265 | ||||||||
\(951\) | −0.0661172 | + | 0.114518i | −0.00214400 | + | 0.00371351i | ||||
\(952\) | − | 70.5736i | − | 2.28730i | ||||||
\(953\) | −9.56647 | − | 16.5696i | −0.309888 | − | 0.536743i | 0.668449 | − | 0.743758i | \(-0.266958\pi\) |
−0.978338 | + | 0.207015i | \(0.933625\pi\) | |||||||
\(954\) | 43.6316 | + | 11.6910i | 1.41262 | + | 0.378511i | ||||
\(955\) | 14.3543 | + | 8.28748i | 0.464496 | + | 0.268177i | ||||
\(956\) | −1.09501 | + | 1.09501i | −0.0354150 | + | 0.0354150i | ||||
\(957\) | 11.8303 | 0.382418 | ||||||||
\(958\) | −3.47099 | −0.112142 | ||||||||
\(959\) | 49.0486 | − | 49.0486i | 1.58386 | − | 1.58386i | ||||
\(960\) | 1.89838 | − | 7.08485i | 0.0612699 | − | 0.228663i | ||||
\(961\) | −26.6753 | + | 15.4010i | −0.860495 | + | 0.496807i | ||||
\(962\) | 24.2271 | − | 6.49164i | 0.781114 | − | 0.209299i | ||||
\(963\) | −3.33616 | − | 12.4507i | −0.107506 | − | 0.401219i | ||||
\(964\) | 0.366352 | − | 1.36725i | 0.0117994 | − | 0.0440360i | ||||
\(965\) | −0.987981 | + | 1.71123i | −0.0318042 | + | 0.0550866i | ||||
\(966\) | 3.90097 | − | 3.90097i | 0.125512 | − | 0.125512i | ||||
\(967\) | −29.2747 | + | 50.7053i | −0.941411 | + | 1.63057i | −0.178628 | + | 0.983917i | \(0.557166\pi\) |
−0.762783 | + | 0.646655i | \(0.776168\pi\) | |||||||
\(968\) | 19.8990 | + | 11.4887i | 0.639577 | + | 0.369260i | ||||
\(969\) | 2.19292 | + | 8.18409i | 0.0704467 | + | 0.262911i | ||||
\(970\) | −21.8487 | − | 21.8487i | −0.701521 | − | 0.701521i | ||||
\(971\) | −0.712617 | − | 0.712617i | −0.0228690 | − | 0.0228690i | 0.695580 | − | 0.718449i | \(-0.255148\pi\) |
−0.718449 | + | 0.695580i | \(0.755148\pi\) | |||||||
\(972\) | −0.937741 | + | 0.541405i | −0.0300780 | + | 0.0173656i | ||||
\(973\) | − | 17.5444i | − | 0.562449i | ||||||
\(974\) | 16.1513 | + | 9.32497i | 0.517521 | + | 0.298791i | ||||
\(975\) | 0.192200 | − | 0.717298i | 0.00615531 | − | 0.0229719i | ||||
\(976\) | 34.8332i | 1.11498i | ||||||||
\(977\) | 34.4052 | + | 9.21884i | 1.10072 | + | 0.294937i | 0.763057 | − | 0.646331i | \(-0.223697\pi\) |
0.337662 | + | 0.941268i | \(0.390364\pi\) | |||||||
\(978\) | 7.64292 | − | 2.04791i | 0.244394 | − | 0.0654850i | ||||
\(979\) | 22.6711 | + | 22.6711i | 0.724571 | + | 0.724571i | ||||
\(980\) | −0.857557 | + | 0.229782i | −0.0273937 | + | 0.00734011i | ||||
\(981\) | −5.01025 | − | 8.67800i | −0.159965 | − | 0.277067i | ||||
\(982\) | −35.5411 | − | 9.52322i | −1.13416 | − | 0.303898i | ||||
\(983\) | −0.484767 | − | 1.80918i | −0.0154617 | − | 0.0577037i | 0.957764 | − | 0.287555i | \(-0.0928426\pi\) |
−0.973226 | + | 0.229852i | \(0.926176\pi\) | |||||||
\(984\) | −3.94407 | + | 2.27711i | −0.125732 | + | 0.0725917i | ||||
\(985\) | −10.3526 | − | 17.9312i | −0.329860 | − | 0.571334i | ||||
\(986\) | −32.2413 | − | 55.8435i | −1.02677 | − | 1.77842i | ||||
\(987\) | −4.03955 | + | 2.33223i | −0.128580 | + | 0.0742358i | ||||
\(988\) | −0.179074 | − | 0.668313i | −0.00569710 | − | 0.0212619i | ||||
\(989\) | −16.2854 | − | 4.36366i | −0.517845 | − | 0.138756i | ||||
\(990\) | 18.7370 | + | 32.4534i | 0.595500 | + | 1.03144i | ||||
\(991\) | 36.4916 | − | 9.77788i | 1.15919 | − | 0.310605i | 0.372549 | − | 0.928012i | \(-0.378484\pi\) |
0.786643 | + | 0.617408i | \(0.211817\pi\) | |||||||
\(992\) | 0.171205 | + | 0.171205i | 0.00543575 | + | 0.00543575i | ||||
\(993\) | 7.21948 | − | 1.93445i | 0.229103 | − | 0.0613881i | ||||
\(994\) | −33.4218 | − | 8.95534i | −1.06007 | − | 0.284046i | ||||
\(995\) | 52.2726i | 1.65715i | ||||||||
\(996\) | 0.0897463 | − | 0.334938i | 0.00284372 | − | 0.0106129i | ||||
\(997\) | 21.1362 | + | 12.2030i | 0.669390 | + | 0.386473i | 0.795846 | − | 0.605500i | \(-0.207027\pi\) |
−0.126455 | + | 0.991972i | \(0.540360\pi\) | |||||||
\(998\) | 15.4121i | 0.487862i | ||||||||
\(999\) | 13.4866 | − | 7.78646i | 0.426696 | − | 0.246353i |
(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 | 73.2.h.a.3.2 | ✓ | 20 | |
3.2 | odd | 2 | 657.2.be.c.514.4 | 20 | |||
73.7 | odd | 24 | 5329.2.a.m.1.13 | 20 | |||
73.49 | even | 12 | inner | 73.2.h.a.49.2 | yes | 20 | |
73.66 | odd | 24 | 5329.2.a.m.1.14 | 20 | |||
219.122 | odd | 12 | 657.2.be.c.487.4 | 20 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
73.2.h.a.3.2 | ✓ | 20 | 1.1 | even | 1 | trivial | |
73.2.h.a.49.2 | yes | 20 | 73.49 | even | 12 | inner | |
657.2.be.c.487.4 | 20 | 219.122 | odd | 12 | |||
657.2.be.c.514.4 | 20 | 3.2 | odd | 2 | |||
5329.2.a.m.1.13 | 20 | 73.7 | odd | 24 | |||
5329.2.a.m.1.14 | 20 | 73.66 | odd | 24 |